Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(4,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.t (of order \(42\), degree \(12\), 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: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 149.19 | ||
Character | \(\chi\) | \(=\) | 245.149 |
Dual form | 245.2.t.a.74.19 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{13}{21}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.443222 | − | 1.43689i | 0.313405 | − | 1.01603i | −0.652642 | − | 0.757667i | \(-0.726339\pi\) |
0.966047 | − | 0.258367i | \(-0.0831845\pi\) | |||||||
\(3\) | −1.53230 | − | 0.601382i | −0.884672 | − | 0.347208i | −0.120878 | − | 0.992667i | \(-0.538571\pi\) |
−0.763795 | + | 0.645459i | \(0.776666\pi\) | |||||||
\(4\) | −0.215728 | − | 0.147081i | −0.107864 | − | 0.0735405i | ||||
\(5\) | 0.986254 | − | 2.00681i | 0.441066 | − | 0.897475i | ||||
\(6\) | −1.54327 | + | 1.93520i | −0.630036 | + | 0.790041i | ||||
\(7\) | 2.62623 | + | 0.320787i | 0.992622 | + | 0.121246i | ||||
\(8\) | 2.04432 | − | 1.63029i | 0.722775 | − | 0.576394i | ||||
\(9\) | −0.212881 | − | 0.197525i | −0.0709603 | − | 0.0658416i | ||||
\(10\) | −2.44644 | − | 2.30660i | −0.773632 | − | 0.729411i | ||||
\(11\) | −0.171375 | + | 0.159013i | −0.0516715 | + | 0.0479441i | −0.705586 | − | 0.708624i | \(-0.749316\pi\) |
0.653914 | + | 0.756569i | \(0.273126\pi\) | |||||||
\(12\) | 0.242108 | + | 0.355107i | 0.0698905 | + | 0.102511i | ||||
\(13\) | −5.60004 | + | 1.27817i | −1.55317 | + | 0.354502i | −0.911114 | − | 0.412154i | \(-0.864777\pi\) |
−0.642059 | + | 0.766656i | \(0.721919\pi\) | |||||||
\(14\) | 1.62494 | − | 3.63143i | 0.434283 | − | 0.970539i | ||||
\(15\) | −2.71810 | + | 2.48192i | −0.701810 | + | 0.640829i | ||||
\(16\) | −1.62724 | − | 4.14613i | −0.406809 | − | 1.03653i | ||||
\(17\) | −0.840524 | + | 0.0629886i | −0.203857 | + | 0.0152770i | −0.176267 | − | 0.984342i | \(-0.556402\pi\) |
−0.0275899 | + | 0.999619i | \(0.508783\pi\) | |||||||
\(18\) | −0.378175 | + | 0.218339i | −0.0891366 | + | 0.0514631i | ||||
\(19\) | 0.837168 | − | 1.45002i | 0.192060 | − | 0.332657i | −0.753873 | − | 0.657020i | \(-0.771817\pi\) |
0.945933 | + | 0.324363i | \(0.105150\pi\) | |||||||
\(20\) | −0.507927 | + | 0.287867i | −0.113576 | + | 0.0643690i | ||||
\(21\) | −3.83125 | − | 2.07091i | −0.836048 | − | 0.451910i | ||||
\(22\) | 0.152527 | + | 0.316725i | 0.0325188 | + | 0.0675259i | ||||
\(23\) | 2.39667 | + | 0.179606i | 0.499740 | + | 0.0374504i | 0.322216 | − | 0.946666i | \(-0.395572\pi\) |
0.177524 | + | 0.984116i | \(0.443191\pi\) | |||||||
\(24\) | −4.11293 | + | 1.26867i | −0.839548 | + | 0.258966i | ||||
\(25\) | −3.05461 | − | 3.95846i | −0.610921 | − | 0.791691i | ||||
\(26\) | −0.645467 | + | 8.61316i | −0.126586 | + | 1.68918i | ||||
\(27\) | 2.35004 | + | 4.87990i | 0.452265 | + | 0.939138i | ||||
\(28\) | −0.519370 | − | 0.455471i | −0.0981518 | − | 0.0860760i | ||||
\(29\) | 7.41896 | + | 3.57278i | 1.37767 | + | 0.663449i | 0.968500 | − | 0.249012i | \(-0.0801058\pi\) |
0.409165 | + | 0.912460i | \(0.365820\pi\) | |||||||
\(30\) | 2.36153 | + | 5.00565i | 0.431154 | + | 0.913902i | ||||
\(31\) | −1.84350 | − | 3.19304i | −0.331102 | − | 0.573486i | 0.651626 | − | 0.758541i | \(-0.274087\pi\) |
−0.982728 | + | 0.185054i | \(0.940754\pi\) | |||||||
\(32\) | −1.46382 | + | 0.109698i | −0.258770 | + | 0.0193921i | ||||
\(33\) | 0.358225 | − | 0.140593i | 0.0623590 | − | 0.0244741i | ||||
\(34\) | −0.282031 | + | 1.23566i | −0.0483679 | + | 0.211914i | ||||
\(35\) | 3.23389 | − | 4.95398i | 0.546628 | − | 0.837376i | ||||
\(36\) | 0.0168723 | + | 0.0739224i | 0.00281205 | + | 0.0123204i | ||||
\(37\) | 6.48867 | + | 9.51713i | 1.06673 | + | 1.56461i | 0.799208 | + | 0.601055i | \(0.205253\pi\) |
0.267522 | + | 0.963552i | \(0.413795\pi\) | |||||||
\(38\) | −1.71246 | − | 1.84560i | −0.277798 | − | 0.299395i | ||||
\(39\) | 9.34960 | + | 1.40923i | 1.49713 | + | 0.225657i | ||||
\(40\) | −1.25547 | − | 5.71044i | −0.198507 | − | 0.902900i | ||||
\(41\) | 2.71880 | + | 3.40926i | 0.424605 | + | 0.532438i | 0.947413 | − | 0.320013i | \(-0.103687\pi\) |
−0.522808 | + | 0.852450i | \(0.675116\pi\) | |||||||
\(42\) | −4.67376 | + | 4.58721i | −0.721178 | + | 0.707823i | ||||
\(43\) | −3.89995 | − | 3.11011i | −0.594737 | − | 0.474287i | 0.279262 | − | 0.960215i | \(-0.409910\pi\) |
−0.873999 | + | 0.485928i | \(0.838482\pi\) | |||||||
\(44\) | 0.0603581 | − | 0.00909753i | 0.00909933 | − | 0.00137150i | ||||
\(45\) | −0.606350 | + | 0.232403i | −0.0903893 | + | 0.0346446i | ||||
\(46\) | 1.32033 | − | 3.36415i | 0.194672 | − | 0.496016i | ||||
\(47\) | 1.90079 | − | 6.16221i | 0.277259 | − | 0.898851i | −0.704660 | − | 0.709546i | \(-0.748900\pi\) |
0.981918 | − | 0.189305i | \(-0.0606236\pi\) | |||||||
\(48\) | 7.33170i | 1.05824i | ||||||||
\(49\) | 6.79419 | + | 1.68492i | 0.970599 | + | 0.240703i | ||||
\(50\) | −7.04173 | + | 2.63466i | −0.995851 | + | 0.372597i | ||||
\(51\) | 1.32581 | + | 0.408959i | 0.185651 | + | 0.0572658i | ||||
\(52\) | 1.39608 | + | 0.547922i | 0.193602 | + | 0.0759831i | ||||
\(53\) | −5.80093 | + | 8.50840i | −0.796818 | + | 1.16872i | 0.185710 | + | 0.982605i | \(0.440542\pi\) |
−0.982528 | + | 0.186113i | \(0.940411\pi\) | |||||||
\(54\) | 8.05347 | − | 1.21387i | 1.09594 | − | 0.165186i | ||||
\(55\) | 0.150090 | + | 0.500745i | 0.0202381 | + | 0.0675204i | ||||
\(56\) | 5.89183 | − | 3.62573i | 0.787328 | − | 0.484508i | ||||
\(57\) | −2.15481 | + | 1.71840i | −0.285411 | + | 0.227608i | ||||
\(58\) | 8.42193 | − | 9.07668i | 1.10585 | − | 1.19183i | ||||
\(59\) | 1.52606 | + | 0.230016i | 0.198676 | + | 0.0299456i | 0.247626 | − | 0.968856i | \(-0.420350\pi\) |
−0.0489504 | + | 0.998801i | \(0.515588\pi\) | |||||||
\(60\) | 0.951413 | − | 0.135640i | 0.122827 | − | 0.0175110i | ||||
\(61\) | −8.68508 | + | 5.92139i | −1.11201 | + | 0.758156i | −0.972694 | − | 0.232092i | \(-0.925443\pi\) |
−0.139317 | + | 0.990248i | \(0.544491\pi\) | |||||||
\(62\) | −5.40512 | + | 1.23368i | −0.686451 | + | 0.156678i | ||||
\(63\) | −0.495712 | − | 0.587035i | −0.0624538 | − | 0.0739595i | ||||
\(64\) | 1.49105 | − | 6.53273i | 0.186382 | − | 0.816591i | ||||
\(65\) | −2.95801 | + | 12.4989i | −0.366896 | + | 1.55029i | ||||
\(66\) | −0.0432434 | − | 0.577043i | −0.00532290 | − | 0.0710291i | ||||
\(67\) | 1.24118 | − | 0.716597i | 0.151635 | − | 0.0875462i | −0.422263 | − | 0.906473i | \(-0.638764\pi\) |
0.573897 | + | 0.818927i | \(0.305431\pi\) | |||||||
\(68\) | 0.190589 | + | 0.110037i | 0.0231123 | + | 0.0133439i | ||||
\(69\) | −3.56440 | − | 1.71652i | −0.429103 | − | 0.206645i | ||||
\(70\) | −5.68499 | − | 6.84246i | −0.679487 | − | 0.817830i | ||||
\(71\) | 9.03854 | − | 4.35273i | 1.07268 | − | 0.516574i | 0.187708 | − | 0.982225i | \(-0.439894\pi\) |
0.884969 | + | 0.465651i | \(0.154180\pi\) | |||||||
\(72\) | −0.757218 | − | 0.0567457i | −0.0892390 | − | 0.00668754i | ||||
\(73\) | 1.67698 | + | 5.43663i | 0.196275 | + | 0.636309i | 0.999191 | + | 0.0402165i | \(0.0128048\pi\) |
−0.802916 | + | 0.596093i | \(0.796719\pi\) | |||||||
\(74\) | 16.5510 | − | 5.10530i | 1.92401 | − | 0.593479i | ||||
\(75\) | 2.30002 | + | 7.90252i | 0.265583 | + | 0.912504i | ||||
\(76\) | −0.393871 | + | 0.189678i | −0.0451801 | + | 0.0217576i | ||||
\(77\) | −0.501080 | + | 0.362630i | −0.0571033 | + | 0.0413255i | ||||
\(78\) | 6.16885 | − | 12.8097i | 0.698485 | − | 1.45042i | ||||
\(79\) | −0.731420 | + | 1.26686i | −0.0822911 | + | 0.142532i | −0.904234 | − | 0.427038i | \(-0.859557\pi\) |
0.821943 | + | 0.569570i | \(0.192890\pi\) | |||||||
\(80\) | −9.92538 | − | 0.823577i | −1.10969 | − | 0.0920788i | ||||
\(81\) | −0.601163 | − | 8.02196i | −0.0667959 | − | 0.891329i | ||||
\(82\) | 6.10377 | − | 2.39555i | 0.674048 | − | 0.264544i | ||||
\(83\) | 12.0051 | + | 2.74010i | 1.31774 | + | 0.300765i | 0.822882 | − | 0.568212i | \(-0.192365\pi\) |
0.494853 | + | 0.868977i | \(0.335222\pi\) | |||||||
\(84\) | 0.521917 | + | 1.01026i | 0.0569459 | + | 0.110228i | ||||
\(85\) | −0.702564 | + | 1.74890i | −0.0762038 | + | 0.189695i | ||||
\(86\) | −6.19742 | + | 4.22533i | −0.668285 | + | 0.455629i | ||||
\(87\) | −9.21944 | − | 9.93619i | −0.988428 | − | 1.06527i | ||||
\(88\) | −0.0911081 | + | 0.604463i | −0.00971216 | + | 0.0644360i | ||||
\(89\) | −6.28722 | − | 5.83369i | −0.666444 | − | 0.618370i | 0.272616 | − | 0.962123i | \(-0.412111\pi\) |
−0.939060 | + | 0.343753i | \(0.888302\pi\) | |||||||
\(90\) | 0.0651900 | + | 0.974264i | 0.00687163 | + | 0.102696i | ||||
\(91\) | −15.1170 | + | 1.56036i | −1.58470 | + | 0.163570i | ||||
\(92\) | −0.490613 | − | 0.391251i | −0.0511499 | − | 0.0407907i | ||||
\(93\) | 0.904555 | + | 6.00133i | 0.0937980 | + | 0.622309i | ||||
\(94\) | −8.01194 | − | 5.46245i | −0.826369 | − | 0.563409i | ||||
\(95\) | −2.08426 | − | 3.11013i | −0.213840 | − | 0.319092i | ||||
\(96\) | 2.30898 | + | 0.712227i | 0.235660 | + | 0.0726914i | ||||
\(97\) | − | 5.11619i | − | 0.519471i | −0.965680 | − | 0.259735i | \(-0.916365\pi\) | ||
0.965680 | − | 0.259735i | \(-0.0836353\pi\) | |||||||
\(98\) | 5.43238 | − | 9.01571i | 0.548753 | − | 0.910724i | ||||
\(99\) | 0.0678914 | 0.00682334 | ||||||||
\(100\) | 0.0767508 | + | 1.30322i | 0.00767508 | + | 0.130322i | ||||
\(101\) | −0.571108 | + | 1.45516i | −0.0568273 | + | 0.144794i | −0.956468 | − | 0.291838i | \(-0.905733\pi\) |
0.899641 | + | 0.436631i | \(0.143829\pi\) | |||||||
\(102\) | 1.17526 | − | 1.72379i | 0.116368 | − | 0.170680i | ||||
\(103\) | 2.00559 | + | 13.3062i | 0.197616 | + | 1.31110i | 0.839106 | + | 0.543967i | \(0.183078\pi\) |
−0.641490 | + | 0.767131i | \(0.721683\pi\) | |||||||
\(104\) | −9.36447 | + | 11.7427i | −0.918262 | + | 1.15146i | ||||
\(105\) | −7.93452 | + | 5.64617i | −0.774330 | + | 0.551010i | ||||
\(106\) | 9.65453 | + | 12.1064i | 0.937731 | + | 1.17588i | ||||
\(107\) | −6.22119 | + | 6.70485i | −0.601425 | + | 0.648182i | −0.958231 | − | 0.285997i | \(-0.907675\pi\) |
0.356806 | + | 0.934179i | \(0.383866\pi\) | |||||||
\(108\) | 0.210772 | − | 1.39838i | 0.0202815 | − | 0.134559i | ||||
\(109\) | −4.24218 | + | 3.93617i | −0.406327 | + | 0.377017i | −0.856692 | − | 0.515828i | \(-0.827484\pi\) |
0.450365 | + | 0.892845i | \(0.351294\pi\) | |||||||
\(110\) | 0.786038 | + | 0.00627853i | 0.0749458 | + | 0.000598634i | ||||
\(111\) | −4.21914 | − | 18.4852i | −0.400463 | − | 1.75454i | ||||
\(112\) | −2.94348 | − | 11.4107i | −0.278132 | − | 1.07821i | ||||
\(113\) | −2.14123 | − | 0.488723i | −0.201430 | − | 0.0459752i | 0.120615 | − | 0.992699i | \(-0.461513\pi\) |
−0.322046 | + | 0.946724i | \(0.604370\pi\) | |||||||
\(114\) | 1.51409 | + | 3.85785i | 0.141808 | + | 0.361321i | ||||
\(115\) | 2.72416 | − | 4.63254i | 0.254029 | − | 0.431986i | ||||
\(116\) | −1.07499 | − | 1.86194i | −0.0998102 | − | 0.172876i | ||||
\(117\) | 1.44461 | + | 0.834048i | 0.133555 | + | 0.0771078i | ||||
\(118\) | 1.00689 | − | 2.09083i | 0.0926917 | − | 0.192476i | ||||
\(119\) | −2.22762 | − | 0.104207i | −0.204205 | − | 0.00955260i | ||||
\(120\) | −1.51041 | + | 9.50511i | −0.137881 | + | 0.867694i | ||||
\(121\) | −0.817947 | + | 10.9147i | −0.0743588 | + | 0.992249i | ||||
\(122\) | 4.65896 | + | 15.1040i | 0.421803 | + | 1.36745i | ||||
\(123\) | −2.11573 | − | 6.85904i | −0.190769 | − | 0.618459i | ||||
\(124\) | −0.0719399 | + | 0.959971i | −0.00646039 | + | 0.0862080i | ||||
\(125\) | −10.9565 | + | 2.22598i | −0.979980 | + | 0.199098i | ||||
\(126\) | −1.06321 | + | 0.452096i | −0.0947187 | + | 0.0402759i | ||||
\(127\) | 4.96494 | − | 10.3098i | 0.440568 | − | 0.914848i | −0.555930 | − | 0.831229i | \(-0.687638\pi\) |
0.996498 | − | 0.0836191i | \(-0.0266479\pi\) | |||||||
\(128\) | −11.2685 | − | 6.50585i | −0.996001 | − | 0.575041i | ||||
\(129\) | 4.10552 | + | 7.11097i | 0.361471 | + | 0.626086i | ||||
\(130\) | 16.6484 | + | 9.79009i | 1.46016 | + | 0.858648i | ||||
\(131\) | 5.76137 | + | 14.6797i | 0.503373 | + | 1.28257i | 0.926429 | + | 0.376470i | \(0.122862\pi\) |
−0.423055 | + | 0.906104i | \(0.639042\pi\) | |||||||
\(132\) | −0.0979577 | − | 0.0223582i | −0.00852612 | − | 0.00194603i | ||||
\(133\) | 2.66375 | − | 3.53953i | 0.230976 | − | 0.306916i | ||||
\(134\) | −0.479551 | − | 2.10105i | −0.0414269 | − | 0.181503i | ||||
\(135\) | 12.1108 | + | 0.0967357i | 1.04233 | + | 0.00832569i | ||||
\(136\) | −1.61561 | + | 1.49907i | −0.138537 | + | 0.128544i | ||||
\(137\) | 1.78800 | − | 11.8626i | 0.152759 | − | 1.01349i | −0.772736 | − | 0.634728i | \(-0.781112\pi\) |
0.925495 | − | 0.378761i | \(-0.123650\pi\) | |||||||
\(138\) | −4.04628 | + | 4.36085i | −0.344442 | + | 0.371220i | ||||
\(139\) | −9.90702 | − | 12.4230i | −0.840303 | − | 1.05371i | −0.997807 | − | 0.0661879i | \(-0.978916\pi\) |
0.157505 | − | 0.987518i | \(-0.449655\pi\) | |||||||
\(140\) | −1.42628 | + | 0.593069i | −0.120542 | + | 0.0501235i | ||||
\(141\) | −6.61842 | + | 8.29924i | −0.557372 | + | 0.698922i | ||||
\(142\) | −2.24832 | − | 14.9166i | −0.188674 | − | 1.25177i | ||||
\(143\) | 0.756462 | − | 1.10953i | 0.0632585 | − | 0.0927832i | ||||
\(144\) | −0.472556 | + | 1.20405i | −0.0393796 | + | 0.100338i | ||||
\(145\) | 14.4869 | − | 11.3648i | 1.20307 | − | 0.943795i | ||||
\(146\) | 8.55511 | 0.708026 | ||||||||
\(147\) | −9.39744 | − | 6.66771i | −0.775088 | − | 0.549943i | ||||
\(148\) | − | 3.00747i | − | 0.247213i | ||||||
\(149\) | −14.7851 | − | 4.56061i | −1.21125 | − | 0.373620i | −0.377626 | − | 0.925958i | \(-0.623259\pi\) |
−0.833620 | + | 0.552338i | \(0.813736\pi\) | |||||||
\(150\) | 12.3745 | + | 0.197696i | 1.01037 | + | 0.0161418i | ||||
\(151\) | −18.6573 | − | 12.7203i | −1.51831 | − | 1.03516i | −0.981500 | − | 0.191460i | \(-0.938678\pi\) |
−0.536808 | − | 0.843705i | \(-0.680370\pi\) | |||||||
\(152\) | −0.652510 | − | 4.32912i | −0.0529256 | − | 0.351138i | ||||
\(153\) | 0.191374 | + | 0.152615i | 0.0154716 | + | 0.0123382i | ||||
\(154\) | 0.298969 | + | 0.880721i | 0.0240916 | + | 0.0709705i | ||||
\(155\) | −8.22599 | + | 0.550418i | −0.660727 | + | 0.0442106i | ||||
\(156\) | −1.80970 | − | 1.67916i | −0.144892 | − | 0.134440i | ||||
\(157\) | −0.803274 | + | 5.32938i | −0.0641083 | + | 0.425330i | 0.933637 | + | 0.358220i | \(0.116616\pi\) |
−0.997746 | + | 0.0671107i | \(0.978622\pi\) | |||||||
\(158\) | 1.49615 | + | 1.61247i | 0.119027 | + | 0.128281i | ||||
\(159\) | 14.0055 | − | 9.54882i | 1.11071 | − | 0.757271i | ||||
\(160\) | −1.22356 | + | 3.04581i | −0.0967307 | + | 0.240793i | ||||
\(161\) | 6.23660 | + | 1.24051i | 0.491513 | + | 0.0977656i | ||||
\(162\) | −11.7931 | − | 2.69170i | −0.926555 | − | 0.211480i | ||||
\(163\) | −2.45235 | + | 0.962476i | −0.192083 | + | 0.0753869i | −0.459433 | − | 0.888213i | \(-0.651947\pi\) |
0.267350 | + | 0.963600i | \(0.413852\pi\) | |||||||
\(164\) | −0.0850833 | − | 1.13536i | −0.00664389 | − | 0.0886565i | ||||
\(165\) | 0.0711569 | − | 0.857551i | 0.00553956 | − | 0.0667603i | ||||
\(166\) | 9.25815 | − | 16.0356i | 0.718572 | − | 1.24460i | ||||
\(167\) | 6.94162 | − | 14.4144i | 0.537159 | − | 1.11542i | −0.439024 | − | 0.898475i | \(-0.644676\pi\) |
0.976183 | − | 0.216947i | \(-0.0696098\pi\) | |||||||
\(168\) | −11.2085 | + | 2.01245i | −0.864753 | + | 0.155264i | ||||
\(169\) | 18.0142 | − | 8.67517i | 1.38571 | − | 0.667321i | ||||
\(170\) | 2.20158 | + | 1.78466i | 0.168854 | + | 0.136877i | ||||
\(171\) | −0.464632 | + | 0.143320i | −0.0355313 | + | 0.0109599i | ||||
\(172\) | 0.383891 | + | 1.24455i | 0.0292714 | + | 0.0948957i | ||||
\(173\) | −1.68858 | − | 0.126541i | −0.128380 | − | 0.00962076i | 0.0103850 | − | 0.999946i | \(-0.496694\pi\) |
−0.138765 | + | 0.990325i | \(0.544313\pi\) | |||||||
\(174\) | −18.3635 | + | 8.84338i | −1.39213 | + | 0.670415i | ||||
\(175\) | −6.75228 | − | 11.3757i | −0.510425 | − | 0.859922i | ||||
\(176\) | 0.938155 | + | 0.451792i | 0.0707161 | + | 0.0340551i | ||||
\(177\) | −2.20005 | − | 1.27020i | −0.165366 | − | 0.0954739i | ||||
\(178\) | −11.1690 | + | 6.44843i | −0.837152 | + | 0.483330i | ||||
\(179\) | 0.777595 | + | 10.3763i | 0.0581202 | + | 0.775560i | 0.947778 | + | 0.318932i | \(0.103324\pi\) |
−0.889658 | + | 0.456628i | \(0.849057\pi\) | |||||||
\(180\) | 0.164989 | + | 0.0390467i | 0.0122975 | + | 0.00291037i | ||||
\(181\) | 2.63048 | − | 11.5249i | 0.195522 | − | 0.856638i | −0.778040 | − | 0.628215i | \(-0.783786\pi\) |
0.973562 | − | 0.228423i | \(-0.0733571\pi\) | |||||||
\(182\) | −4.45813 | + | 22.4131i | −0.330459 | + | 1.66137i | ||||
\(183\) | 16.8692 | − | 3.85027i | 1.24700 | − | 0.284620i | ||||
\(184\) | 5.19236 | − | 3.54009i | 0.382786 | − | 0.260979i | ||||
\(185\) | 25.4986 | − | 3.63524i | 1.87469 | − | 0.267269i | ||||
\(186\) | 9.02417 | + | 1.36017i | 0.661684 | + | 0.0997328i | ||||
\(187\) | 0.134029 | − | 0.144449i | 0.00980116 | − | 0.0105631i | ||||
\(188\) | −1.31640 | + | 1.04979i | −0.0960082 | + | 0.0765639i | ||||
\(189\) | 4.60634 | + | 13.5696i | 0.335062 | + | 0.987045i | ||||
\(190\) | −5.39270 | + | 1.61637i | −0.391227 | + | 0.117264i | ||||
\(191\) | −13.6305 | + | 2.05447i | −0.986270 | + | 0.148656i | −0.622321 | − | 0.782762i | \(-0.713810\pi\) |
−0.363949 | + | 0.931419i | \(0.618572\pi\) | |||||||
\(192\) | −6.21340 | + | 9.11339i | −0.448414 | + | 0.657702i | ||||
\(193\) | −13.4785 | − | 5.28993i | −0.970206 | − | 0.380778i | −0.173292 | − | 0.984871i | \(-0.555440\pi\) |
−0.796914 | + | 0.604093i | \(0.793536\pi\) | |||||||
\(194\) | −7.35140 | − | 2.26761i | −0.527800 | − | 0.162805i | ||||
\(195\) | 12.0491 | − | 17.3731i | 0.862857 | − | 1.24411i | ||||
\(196\) | −1.21788 | − | 1.36278i | −0.0869913 | − | 0.0973415i | ||||
\(197\) | 14.6040i | 1.04049i | 0.854016 | + | 0.520247i | \(0.174160\pi\) | ||||
−0.854016 | + | 0.520247i | \(0.825840\pi\) | |||||||
\(198\) | 0.0300910 | − | 0.0975525i | 0.00213847 | − | 0.00693275i | ||||
\(199\) | −5.42705 | + | 13.8279i | −0.384714 | + | 0.980234i | 0.599041 | + | 0.800718i | \(0.295548\pi\) |
−0.983755 | + | 0.179516i | \(0.942547\pi\) | |||||||
\(200\) | −12.6980 | − | 3.11245i | −0.897885 | − | 0.220084i | ||||
\(201\) | −2.33281 | + | 0.351614i | −0.164544 | + | 0.0248010i | ||||
\(202\) | 1.83778 | + | 1.46558i | 0.129305 | + | 0.103118i | ||||
\(203\) | 18.3378 | + | 11.7629i | 1.28706 | + | 0.825591i | ||||
\(204\) | −0.225865 | − | 0.283226i | −0.0158137 | − | 0.0198298i | ||||
\(205\) | 9.52318 | − | 2.09372i | 0.665128 | − | 0.146232i | ||||
\(206\) | 20.0085 | + | 3.01579i | 1.39406 | + | 0.210120i | ||||
\(207\) | −0.474729 | − | 0.511636i | −0.0329960 | − | 0.0355612i | ||||
\(208\) | 14.4121 | + | 21.1386i | 0.999298 | + | 1.46570i | ||||
\(209\) | 0.0871016 | + | 0.381617i | 0.00602495 | + | 0.0263970i | ||||
\(210\) | 4.59617 | + | 13.9035i | 0.317166 | + | 0.959435i | ||||
\(211\) | 2.21142 | − | 9.68886i | 0.152240 | − | 0.667009i | −0.839991 | − | 0.542601i | \(-0.817440\pi\) |
0.992231 | − | 0.124408i | \(-0.0397032\pi\) | |||||||
\(212\) | 2.50285 | − | 0.982294i | 0.171896 | − | 0.0674643i | ||||
\(213\) | −16.4674 | + | 1.23406i | −1.12833 | + | 0.0845564i | ||||
\(214\) | 6.87676 | + | 11.9109i | 0.470085 | + | 0.814212i | ||||
\(215\) | −10.0877 | + | 4.75912i | −0.687978 | + | 0.324569i | ||||
\(216\) | 12.7599 | + | 6.14483i | 0.868199 | + | 0.418103i | ||||
\(217\) | −3.81718 | − | 8.97703i | −0.259127 | − | 0.609400i | ||||
\(218\) | 3.77561 | + | 7.84014i | 0.255717 | + | 0.531002i | ||||
\(219\) | 0.699864 | − | 9.33904i | 0.0472924 | − | 0.631074i | ||||
\(220\) | 0.0412714 | − | 0.130100i | 0.00278252 | − | 0.00877134i | ||||
\(221\) | 4.62646 | − | 1.42708i | 0.311210 | − | 0.0959955i | ||||
\(222\) | −28.4313 | − | 2.13063i | −1.90818 | − | 0.142998i | ||||
\(223\) | 10.3443 | + | 21.4802i | 0.692706 | + | 1.43842i | 0.889016 | + | 0.457876i | \(0.151390\pi\) |
−0.196310 | + | 0.980542i | \(0.562896\pi\) | |||||||
\(224\) | −3.87953 | − | 0.181482i | −0.259212 | − | 0.0121258i | ||||
\(225\) | −0.131625 | + | 1.44604i | −0.00877503 | + | 0.0964027i | ||||
\(226\) | −1.65128 | + | 2.86010i | −0.109842 | + | 0.190251i | ||||
\(227\) | 22.4269 | − | 12.9482i | 1.48852 | − | 0.859399i | 0.488609 | − | 0.872503i | \(-0.337504\pi\) |
0.999914 | + | 0.0131037i | \(0.00417116\pi\) | |||||||
\(228\) | 0.717596 | − | 0.0537764i | 0.0475240 | − | 0.00356143i | ||||
\(229\) | −2.14648 | − | 5.46915i | −0.141844 | − | 0.361412i | 0.842244 | − | 0.539097i | \(-0.181234\pi\) |
−0.984087 | + | 0.177685i | \(0.943139\pi\) | |||||||
\(230\) | −5.44903 | − | 5.96756i | −0.359299 | − | 0.393489i | ||||
\(231\) | 0.985882 | − | 0.254316i | 0.0648663 | − | 0.0167327i | ||||
\(232\) | 20.9914 | − | 4.79114i | 1.37815 | − | 0.314554i | ||||
\(233\) | −16.0688 | − | 23.5685i | −1.05270 | − | 1.54403i | −0.820741 | − | 0.571300i | \(-0.806439\pi\) |
−0.231957 | − | 0.972726i | \(-0.574513\pi\) | |||||||
\(234\) | 1.83872 | − | 1.70608i | 0.120201 | − | 0.111530i | ||||
\(235\) | −10.4917 | − | 9.89204i | −0.684406 | − | 0.645285i | ||||
\(236\) | −0.295382 | − | 0.274075i | −0.0192278 | − | 0.0178408i | ||||
\(237\) | 1.88262 | − | 1.50134i | 0.122289 | − | 0.0975223i | ||||
\(238\) | −1.13706 | + | 3.15465i | −0.0737048 | + | 0.204486i | ||||
\(239\) | −5.70447 | + | 7.15318i | −0.368992 | + | 0.462701i | −0.931314 | − | 0.364217i | \(-0.881337\pi\) |
0.562322 | + | 0.826918i | \(0.309908\pi\) | |||||||
\(240\) | 14.7134 | + | 7.23092i | 0.949743 | + | 0.466754i | ||||
\(241\) | 16.6650 | + | 11.3620i | 1.07349 | + | 0.731892i | 0.965012 | − | 0.262207i | \(-0.0844504\pi\) |
0.108477 | + | 0.994099i | \(0.465403\pi\) | |||||||
\(242\) | 15.3207 | + | 6.01295i | 0.984855 | + | 0.386527i | ||||
\(243\) | 0.886328 | − | 2.87340i | 0.0568580 | − | 0.184329i | ||||
\(244\) | 2.74454 | 0.175701 | ||||||||
\(245\) | 10.0821 | − | 11.9729i | 0.644123 | − | 0.764922i | ||||
\(246\) | −10.7934 | −0.688164 | ||||||||
\(247\) | −2.83480 | + | 9.19021i | −0.180374 | + | 0.584759i | ||||
\(248\) | −8.97427 | − | 3.52214i | −0.569867 | − | 0.223656i | ||||
\(249\) | −16.7476 | − | 11.4183i | −1.06134 | − | 0.723607i | ||||
\(250\) | −1.65767 | + | 16.7299i | −0.104840 | + | 1.05809i | ||||
\(251\) | −0.881341 | + | 1.10517i | −0.0556298 | + | 0.0697575i | −0.808868 | − | 0.587990i | \(-0.799919\pi\) |
0.753238 | + | 0.657748i | \(0.228491\pi\) | |||||||
\(252\) | 0.0205972 | + | 0.199550i | 0.00129750 | + | 0.0125705i | ||||
\(253\) | −0.439289 | + | 0.350321i | −0.0276179 | + | 0.0220245i | ||||
\(254\) | −12.6135 | − | 11.7036i | −0.791441 | − | 0.734350i | ||||
\(255\) | 2.12829 | − | 2.25732i | 0.133279 | − | 0.141359i | ||||
\(256\) | −4.51866 | + | 4.19270i | −0.282416 | + | 0.262044i | ||||
\(257\) | 12.4112 | + | 18.2040i | 0.774192 | + | 1.13553i | 0.987357 | + | 0.158515i | \(0.0506707\pi\) |
−0.213164 | + | 0.977016i | \(0.568377\pi\) | |||||||
\(258\) | 12.0373 | − | 2.74744i | 0.749411 | − | 0.171048i | ||||
\(259\) | 13.9878 | + | 27.0757i | 0.869158 | + | 1.68240i | ||||
\(260\) | 2.47647 | − | 2.26129i | 0.153584 | − | 0.140239i | ||||
\(261\) | −0.873642 | − | 2.22600i | −0.0540771 | − | 0.137786i | ||||
\(262\) | 23.6467 | − | 1.77208i | 1.46090 | − | 0.109479i | ||||
\(263\) | −12.8634 | + | 7.42669i | −0.793192 | + | 0.457949i | −0.841085 | − | 0.540903i | \(-0.818083\pi\) |
0.0478934 | + | 0.998852i | \(0.484749\pi\) | |||||||
\(264\) | 0.503118 | − | 0.871426i | 0.0309648 | − | 0.0536326i | ||||
\(265\) | 11.3536 | + | 20.0328i | 0.697445 | + | 1.23061i | ||||
\(266\) | −3.90529 | − | 5.39630i | −0.239448 | − | 0.330869i | ||||
\(267\) | 6.12562 | + | 12.7200i | 0.374882 | + | 0.778450i | ||||
\(268\) | −0.373156 | − | 0.0279641i | −0.0227941 | − | 0.00170818i | ||||
\(269\) | −16.3929 | + | 5.05652i | −0.999490 | + | 0.308302i | −0.750978 | − | 0.660327i | \(-0.770418\pi\) |
−0.248512 | + | 0.968629i | \(0.579941\pi\) | |||||||
\(270\) | 5.50677 | − | 17.3590i | 0.335131 | − | 1.05643i | ||||
\(271\) | −0.971455 | + | 12.9632i | −0.0590117 | + | 0.787456i | 0.886678 | + | 0.462387i | \(0.153007\pi\) |
−0.945690 | + | 0.325070i | \(0.894612\pi\) | |||||||
\(272\) | 1.62889 | + | 3.38243i | 0.0987661 | + | 0.205090i | ||||
\(273\) | 24.1022 | + | 6.70019i | 1.45873 | + | 0.405514i | ||||
\(274\) | −16.2527 | − | 7.82691i | −0.981864 | − | 0.472841i | ||||
\(275\) | 1.15293 | + | 0.192659i | 0.0695242 | + | 0.0116178i | ||||
\(276\) | 0.516473 | + | 0.894558i | 0.0310880 | + | 0.0538461i | ||||
\(277\) | −19.6634 | + | 1.47357i | −1.18146 | + | 0.0885383i | −0.650937 | − | 0.759131i | \(-0.725624\pi\) |
−0.530524 | + | 0.847670i | \(0.678005\pi\) | |||||||
\(278\) | −22.2415 | + | 8.72915i | −1.33396 | + | 0.523539i | ||||
\(279\) | −0.238257 | + | 1.04387i | −0.0142641 | + | 0.0624951i | ||||
\(280\) | −1.46532 | − | 15.3997i | −0.0875696 | − | 0.920307i | ||||
\(281\) | −1.61155 | − | 7.06068i | −0.0961373 | − | 0.421205i | 0.903841 | − | 0.427870i | \(-0.140736\pi\) |
−0.999978 | + | 0.00666459i | \(0.997879\pi\) | |||||||
\(282\) | 8.99166 | + | 13.1883i | 0.535445 | + | 0.785354i | ||||
\(283\) | −6.84987 | − | 7.38240i | −0.407182 | − | 0.438838i | 0.495852 | − | 0.868407i | \(-0.334856\pi\) |
−0.903034 | + | 0.429569i | \(0.858666\pi\) | |||||||
\(284\) | −2.59007 | − | 0.390390i | −0.153692 | − | 0.0231654i | ||||
\(285\) | 1.32332 | + | 6.01908i | 0.0783870 | + | 0.356539i | ||||
\(286\) | −1.25898 | − | 1.57872i | −0.0744453 | − | 0.0933515i | ||||
\(287\) | 6.04655 | + | 9.82567i | 0.356916 | + | 0.579991i | ||||
\(288\) | 0.333288 | + | 0.265789i | 0.0196392 | + | 0.0156617i | ||||
\(289\) | −16.1076 | + | 2.42783i | −0.947506 | + | 0.142814i | ||||
\(290\) | −9.90905 | − | 25.8532i | −0.581880 | − | 1.51815i | ||||
\(291\) | −3.07679 | + | 7.83953i | −0.180364 | + | 0.459561i | ||||
\(292\) | 0.437853 | − | 1.41948i | 0.0256234 | − | 0.0830691i | ||||
\(293\) | − | 10.1008i | − | 0.590097i | −0.955482 | − | 0.295049i | \(-0.904664\pi\) | ||
0.955482 | − | 0.295049i | \(-0.0953359\pi\) | |||||||
\(294\) | −13.7459 | + | 10.5478i | −0.801678 | + | 0.615161i | ||||
\(295\) | 1.96668 | − | 2.83566i | 0.114505 | − | 0.165098i | ||||
\(296\) | 28.7806 | + | 8.87763i | 1.67284 | + | 0.516001i | ||||
\(297\) | −1.17870 | − | 0.462607i | −0.0683954 | − | 0.0268432i | ||||
\(298\) | −13.1062 | + | 19.2233i | −0.759221 | + | 1.11357i | ||||
\(299\) | −13.6510 | + | 2.05756i | −0.789459 | + | 0.118992i | ||||
\(300\) | 0.666131 | − | 2.04308i | 0.0384591 | − | 0.117958i | ||||
\(301\) | −9.24449 | − | 9.41891i | −0.532844 | − | 0.542897i | ||||
\(302\) | −26.5470 | + | 21.1705i | −1.52761 | + | 1.21823i | ||||
\(303\) | 1.75021 | − | 1.88628i | 0.100547 | − | 0.108364i | ||||
\(304\) | −7.37424 | − | 1.11149i | −0.422942 | − | 0.0637482i | ||||
\(305\) | 3.31743 | + | 23.2693i | 0.189955 | + | 1.33240i | ||||
\(306\) | 0.304112 | − | 0.207340i | 0.0173849 | − | 0.0118528i | ||||
\(307\) | −18.5227 | + | 4.22769i | −1.05715 | + | 0.241287i | −0.715551 | − | 0.698560i | \(-0.753824\pi\) |
−0.341595 | + | 0.939847i | \(0.610967\pi\) | |||||||
\(308\) | 0.161433 | − | 0.00453011i | 0.00919849 | − | 0.000258127i | ||||
\(309\) | 4.92896 | − | 21.5952i | 0.280399 | − | 1.22851i | ||||
\(310\) | −2.85505 | + | 12.0638i | −0.162156 | + | 0.685177i | ||||
\(311\) | −1.45525 | − | 19.4190i | −0.0825199 | − | 1.10115i | −0.872694 | − | 0.488268i | \(-0.837629\pi\) |
0.790174 | − | 0.612883i | \(-0.209990\pi\) | |||||||
\(312\) | 21.4110 | − | 12.3616i | 1.21216 | − | 0.699840i | ||||
\(313\) | −20.8821 | − | 12.0563i | −1.18033 | − | 0.681463i | −0.224238 | − | 0.974535i | \(-0.571989\pi\) |
−0.956090 | + | 0.293072i | \(0.905323\pi\) | |||||||
\(314\) | 7.30169 | + | 3.51631i | 0.412058 | + | 0.198437i | ||||
\(315\) | −1.66697 | + | 0.415835i | −0.0939230 | + | 0.0234297i | ||||
\(316\) | 0.344118 | − | 0.165719i | 0.0193582 | − | 0.00932240i | ||||
\(317\) | 13.1644 | + | 0.986537i | 0.739388 | + | 0.0554095i | 0.439099 | − | 0.898439i | \(-0.355298\pi\) |
0.300289 | + | 0.953848i | \(0.402917\pi\) | |||||||
\(318\) | −7.51303 | − | 24.3567i | −0.421310 | − | 1.36585i | ||||
\(319\) | −1.83954 | + | 0.567423i | −0.102995 | + | 0.0317696i | ||||
\(320\) | −11.6394 | − | 9.43519i | −0.650663 | − | 0.527443i | ||||
\(321\) | 13.5649 | − | 6.53251i | 0.757118 | − | 0.364609i | ||||
\(322\) | 4.54667 | − | 8.41148i | 0.253376 | − | 0.468754i | ||||
\(323\) | −0.612326 | + | 1.27151i | −0.0340707 | + | 0.0707486i | ||||
\(324\) | −1.05019 | + | 1.81898i | −0.0583439 | + | 0.101055i | ||||
\(325\) | 22.1655 | + | 18.2632i | 1.22952 | + | 1.01306i | ||||
\(326\) | 0.296037 | + | 3.95034i | 0.0163960 | + | 0.218789i | ||||
\(327\) | 8.86743 | − | 3.48021i | 0.490370 | − | 0.192456i | ||||
\(328\) | 11.1162 | + | 2.53719i | 0.613788 | + | 0.140093i | ||||
\(329\) | 6.96867 | − | 15.5736i | 0.384195 | − | 0.858603i | ||||
\(330\) | −1.20067 | − | 0.482330i | −0.0660946 | − | 0.0265514i | ||||
\(331\) | 17.4456 | − | 11.8942i | 0.958898 | − | 0.653766i | 0.0206714 | − | 0.999786i | \(-0.493420\pi\) |
0.938227 | + | 0.346021i | \(0.112467\pi\) | |||||||
\(332\) | −2.18683 | − | 2.35684i | −0.120018 | − | 0.129349i | ||||
\(333\) | 0.498554 | − | 3.30769i | 0.0273206 | − | 0.181260i | ||||
\(334\) | −17.6353 | − | 16.3631i | −0.964959 | − | 0.895351i | ||||
\(335\) | −0.213956 | − | 3.19757i | −0.0116897 | − | 0.174702i | ||||
\(336\) | −2.35191 | + | 19.2547i | −0.128307 | + | 1.05043i | ||||
\(337\) | −4.23125 | − | 3.37431i | −0.230491 | − | 0.183811i | 0.501433 | − | 0.865196i | \(-0.332806\pi\) |
−0.731925 | + | 0.681386i | \(0.761378\pi\) | |||||||
\(338\) | −4.48099 | − | 29.7294i | −0.243733 | − | 1.61707i | ||||
\(339\) | 2.98710 | + | 2.03657i | 0.162237 | + | 0.110611i | ||||
\(340\) | 0.408793 | − | 0.273953i | 0.0221699 | − | 0.0148572i | ||||
\(341\) | 0.823663 | + | 0.254066i | 0.0446039 | + | 0.0137585i | ||||
\(342\) | 0.731147i | 0.0395359i | ||||||||
\(343\) | 17.3026 | + | 6.60448i | 0.934254 | + | 0.356609i | ||||
\(344\) | −13.0431 | −0.703237 | ||||||||
\(345\) | −6.96015 | + | 5.46016i | −0.374722 | + | 0.293965i | ||||
\(346\) | −0.930240 | + | 2.37021i | −0.0500100 | + | 0.127423i | ||||
\(347\) | 2.23240 | − | 3.27433i | 0.119841 | − | 0.175775i | −0.761630 | − | 0.648012i | \(-0.775601\pi\) |
0.881472 | + | 0.472236i | \(0.156553\pi\) | |||||||
\(348\) | 0.527468 | + | 3.49952i | 0.0282752 | + | 0.187594i | ||||
\(349\) | 2.12832 | − | 2.66883i | 0.113926 | − | 0.142859i | −0.721598 | − | 0.692312i | \(-0.756592\pi\) |
0.835525 | + | 0.549453i | \(0.185164\pi\) | |||||||
\(350\) | −19.3384 | + | 4.66032i | −1.03368 | + | 0.249105i | ||||
\(351\) | −19.3977 | − | 24.3239i | −1.03537 | − | 1.29831i | ||||
\(352\) | 0.233419 | − | 0.251566i | 0.0124413 | − | 0.0134085i | ||||
\(353\) | 2.84062 | − | 18.8463i | 0.151191 | − | 1.00309i | −0.776602 | − | 0.629991i | \(-0.783059\pi\) |
0.927793 | − | 0.373095i | \(-0.121703\pi\) | |||||||
\(354\) | −2.80024 | + | 2.59824i | −0.148831 | + | 0.138095i | ||||
\(355\) | 0.179173 | − | 22.4316i | 0.00950954 | − | 1.19054i | ||||
\(356\) | 0.498306 | + | 2.18322i | 0.0264102 | + | 0.115711i | ||||
\(357\) | 3.35071 | + | 1.49933i | 0.177338 | + | 0.0793527i | ||||
\(358\) | 15.2542 | + | 3.48168i | 0.806211 | + | 0.184012i | ||||
\(359\) | −1.62200 | − | 4.13279i | −0.0856060 | − | 0.218120i | 0.881660 | − | 0.471885i | \(-0.156426\pi\) |
−0.967266 | + | 0.253765i | \(0.918331\pi\) | |||||||
\(360\) | −0.860688 | + | 1.46363i | −0.0453622 | + | 0.0771401i | ||||
\(361\) | 8.09830 | + | 14.0267i | 0.426226 | + | 0.738245i | ||||
\(362\) | −15.3941 | − | 8.88779i | −0.809096 | − | 0.467132i | ||||
\(363\) | 7.81727 | − | 16.2327i | 0.410300 | − | 0.851997i | ||||
\(364\) | 3.49067 | + | 1.88681i | 0.182961 | + | 0.0988960i | ||||
\(365\) | 12.5642 | + | 1.99651i | 0.657642 | + | 0.104502i | ||||
\(366\) | 1.94436 | − | 25.9456i | 0.101633 | − | 1.35620i | ||||
\(367\) | −2.00208 | − | 6.49058i | −0.104508 | − | 0.338806i | 0.888183 | − | 0.459489i | \(-0.151968\pi\) |
−0.992691 | + | 0.120684i | \(0.961491\pi\) | |||||||
\(368\) | −3.15528 | − | 10.2292i | −0.164480 | − | 0.533233i | ||||
\(369\) | 0.0946336 | − | 1.26280i | 0.00492643 | − | 0.0657386i | ||||
\(370\) | 6.07808 | − | 38.2499i | 0.315984 | − | 1.98852i | ||||
\(371\) | −17.9640 | + | 20.4842i | −0.932642 | + | 1.06348i | ||||
\(372\) | 0.687543 | − | 1.42770i | 0.0356475 | − | 0.0740227i | ||||
\(373\) | −17.1440 | − | 9.89812i | −0.887685 | − | 0.512505i | −0.0145005 | − | 0.999895i | \(-0.504616\pi\) |
−0.873185 | + | 0.487390i | \(0.837949\pi\) | |||||||
\(374\) | −0.148152 | − | 0.256607i | −0.00766078 | − | 0.0132689i | ||||
\(375\) | 18.1273 | + | 3.17818i | 0.936089 | + | 0.164121i | ||||
\(376\) | −6.16036 | − | 15.6963i | −0.317696 | − | 0.809477i | ||||
\(377\) | −46.1131 | − | 10.5250i | −2.37495 | − | 0.542066i | ||||
\(378\) | 21.5397 | − | 0.604444i | 1.10788 | − | 0.0310892i | ||||
\(379\) | 2.90332 | + | 12.7203i | 0.149134 | + | 0.653397i | 0.993127 | + | 0.117043i | \(0.0373416\pi\) |
−0.843993 | + | 0.536354i | \(0.819801\pi\) | |||||||
\(380\) | −0.00780781 | + | 0.977496i | −0.000400532 | + | 0.0501445i | ||||
\(381\) | −13.8079 | + | 12.8119i | −0.707401 | + | 0.656372i | ||||
\(382\) | −3.08930 | + | 20.4961i | −0.158062 | + | 1.04867i | ||||
\(383\) | 24.3323 | − | 26.2240i | 1.24332 | − | 1.33999i | 0.324215 | − | 0.945983i | \(-0.394900\pi\) |
0.919110 | − | 0.394002i | \(-0.128910\pi\) | |||||||
\(384\) | 13.3541 | + | 16.7456i | 0.681475 | + | 0.854543i | ||||
\(385\) | 0.233538 | + | 1.36322i | 0.0119022 | + | 0.0694761i | ||||
\(386\) | −13.5750 | + | 17.0225i | −0.690950 | + | 0.866424i | ||||
\(387\) | 0.215902 | + | 1.43242i | 0.0109749 | + | 0.0728139i | ||||
\(388\) | −0.752494 | + | 1.10371i | −0.0382021 | + | 0.0560322i | ||||
\(389\) | 5.09605 | − | 12.9845i | 0.258380 | − | 0.658342i | −0.741541 | − | 0.670908i | \(-0.765905\pi\) |
0.999921 | + | 0.0125660i | \(0.00399998\pi\) | |||||||
\(390\) | −19.6227 | − | 25.0134i | −0.993636 | − | 1.26660i | ||||
\(391\) | −2.02577 | −0.102448 | ||||||||
\(392\) | 16.6364 | − | 7.63198i | 0.840264 | − | 0.385473i | ||||
\(393\) | − | 25.9585i | − | 1.30943i | ||||||
\(394\) | 20.9844 | + | 6.47283i | 1.05718 | + | 0.326096i | ||||
\(395\) | 1.82098 | + | 2.71727i | 0.0916234 | + | 0.136720i | ||||
\(396\) | −0.0146461 | − | 0.00998553i | −0.000735994 | − | 0.000501792i | ||||
\(397\) | 0.837302 | + | 5.55514i | 0.0420230 | + | 0.278804i | 0.999967 | − | 0.00815164i | \(-0.00259478\pi\) |
−0.957944 | + | 0.286956i | \(0.907357\pi\) | |||||||
\(398\) | 17.4638 | + | 13.9269i | 0.875380 | + | 0.698093i | ||||
\(399\) | −6.21026 | + | 3.82169i | −0.310902 | + | 0.191324i | ||||
\(400\) | −11.4417 | + | 19.1061i | −0.572086 | + | 0.955307i | ||||
\(401\) | −11.1956 | − | 10.3880i | −0.559083 | − | 0.518753i | 0.349234 | − | 0.937036i | \(-0.386442\pi\) |
−0.908317 | + | 0.418282i | \(0.862632\pi\) | |||||||
\(402\) | −0.528720 | + | 3.50783i | −0.0263702 | + | 0.174955i | ||||
\(403\) | 14.4049 | + | 15.5248i | 0.717561 | + | 0.773347i | ||||
\(404\) | 0.337230 | − | 0.229920i | 0.0167778 | − | 0.0114389i | ||||
\(405\) | −16.6915 | − | 6.70527i | −0.829406 | − | 0.333187i | ||||
\(406\) | 25.0296 | − | 21.1358i | 1.24220 | − | 1.04895i | ||||
\(407\) | −2.62534 | − | 0.599217i | −0.130133 | − | 0.0297021i | ||||
\(408\) | 3.37710 | − | 1.32542i | 0.167192 | − | 0.0656179i | ||||
\(409\) | 2.11092 | + | 28.1683i | 0.104378 | + | 1.39283i | 0.765925 | + | 0.642930i | \(0.222281\pi\) |
−0.661547 | + | 0.749904i | \(0.730100\pi\) | |||||||
\(410\) | 1.21244 | − | 14.6117i | 0.0598780 | − | 0.721623i | ||||
\(411\) | −9.87369 | + | 17.1017i | −0.487033 | + | 0.843567i | ||||
\(412\) | 1.52443 | − | 3.16550i | 0.0751031 | − | 0.155953i | ||||
\(413\) | 3.93400 | + | 1.09362i | 0.193579 | + | 0.0538133i | ||||
\(414\) | −0.945575 | + | 0.455365i | −0.0464725 | + | 0.0223800i | ||||
\(415\) | 17.3390 | − | 21.3897i | 0.851137 | − | 1.04998i | ||||
\(416\) | 8.05727 | − | 2.48534i | 0.395040 | − | 0.121854i | ||||
\(417\) | 7.70952 | + | 24.9937i | 0.377537 | + | 1.22394i | ||||
\(418\) | 0.586947 | + | 0.0439856i | 0.0287085 | + | 0.00215141i | ||||
\(419\) | 1.56517 | − | 0.753744i | 0.0764633 | − | 0.0368228i | −0.395261 | − | 0.918569i | \(-0.629346\pi\) |
0.471725 | + | 0.881746i | \(0.343632\pi\) | |||||||
\(420\) | 2.54214 | − | 0.0510204i | 0.124044 | − | 0.00248954i | ||||
\(421\) | −0.0118500 | − | 0.00570667i | −0.000577535 | − | 0.000278126i | 0.433595 | − | 0.901108i | \(-0.357245\pi\) |
−0.434172 | + | 0.900830i | \(0.642959\pi\) | |||||||
\(422\) | −12.9417 | − | 7.47188i | −0.629991 | − | 0.363725i | ||||
\(423\) | −1.62183 | + | 0.936365i | −0.0788561 | + | 0.0455276i | ||||
\(424\) | 2.01221 | + | 26.8510i | 0.0977214 | + | 1.30400i | ||||
\(425\) | 2.81681 | + | 3.13477i | 0.136635 | + | 0.152059i | ||||
\(426\) | −5.52549 | + | 24.2088i | −0.267711 | + | 1.17292i | ||||
\(427\) | −24.7086 | + | 12.7649i | −1.19573 | + | 0.617736i | ||||
\(428\) | 2.32824 | − | 0.531406i | 0.112540 | − | 0.0256865i | ||||
\(429\) | −1.82637 | + | 1.24520i | −0.0881781 | + | 0.0601188i | ||||
\(430\) | 2.36722 | + | 16.6043i | 0.114157 | + | 0.800731i | ||||
\(431\) | 31.4895 | + | 4.74629i | 1.51680 | + | 0.228621i | 0.854038 | − | 0.520211i | \(-0.174147\pi\) |
0.662760 | + | 0.748832i | \(0.269385\pi\) | |||||||
\(432\) | 16.4087 | − | 17.6843i | 0.789462 | − | 0.850838i | ||||
\(433\) | −26.7108 | + | 21.3012i | −1.28364 | + | 1.02367i | −0.285780 | + | 0.958295i | \(0.592253\pi\) |
−0.997861 | + | 0.0653737i | \(0.979176\pi\) | |||||||
\(434\) | −14.5908 | + | 1.50605i | −0.700383 | + | 0.0722926i | ||||
\(435\) | −29.0328 | + | 8.70209i | −1.39202 | + | 0.417233i | ||||
\(436\) | 1.49409 | − | 0.225198i | 0.0715541 | − | 0.0107850i | ||||
\(437\) | 2.26685 | − | 3.32486i | 0.108438 | − | 0.159049i | ||||
\(438\) | −13.1090 | − | 5.14489i | −0.626371 | − | 0.245832i | ||||
\(439\) | 4.22213 | + | 1.30236i | 0.201511 | + | 0.0621580i | 0.393868 | − | 0.919167i | \(-0.371137\pi\) |
−0.192356 | + | 0.981325i | \(0.561613\pi\) | |||||||
\(440\) | 1.12319 | + | 0.778991i | 0.0535459 | + | 0.0371369i | ||||
\(441\) | −1.11354 | − | 1.70071i | −0.0530257 | − | 0.0809861i | ||||
\(442\) | − | 7.28023i | − | 0.346285i | ||||||
\(443\) | −6.58074 | + | 21.3342i | −0.312660 | + | 1.01362i | 0.653770 | + | 0.756693i | \(0.273186\pi\) |
−0.966431 | + | 0.256927i | \(0.917290\pi\) | |||||||
\(444\) | −1.80864 | + | 4.60834i | −0.0858343 | + | 0.218702i | ||||
\(445\) | −17.9079 | + | 6.86379i | −0.848918 | + | 0.325375i | ||||
\(446\) | 35.4494 | − | 5.34314i | 1.67858 | − | 0.253005i | ||||
\(447\) | 19.9126 | + | 15.8797i | 0.941832 | + | 0.751086i | ||||
\(448\) | 6.01146 | − | 16.6781i | 0.284015 | − | 0.787968i | ||||
\(449\) | 14.5658 | + | 18.2649i | 0.687402 | + | 0.861975i | 0.996012 | − | 0.0892138i | \(-0.0284355\pi\) |
−0.308611 | + | 0.951188i | \(0.599864\pi\) | |||||||
\(450\) | 2.01946 | + | 0.830048i | 0.0951983 | + | 0.0391288i | ||||
\(451\) | −1.00805 | − | 0.151939i | −0.0474672 | − | 0.00715453i | ||||
\(452\) | 0.390042 | + | 0.420366i | 0.0183461 | + | 0.0197723i | ||||
\(453\) | 20.9387 | + | 30.7115i | 0.983787 | + | 1.44295i | ||||
\(454\) | −8.66499 | − | 37.9638i | −0.406668 | − | 1.78173i | ||||
\(455\) | −11.7779 | + | 31.8760i | −0.552156 | + | 1.49437i | ||||
\(456\) | −1.60362 | + | 7.02591i | −0.0750963 | + | 0.329018i | ||||
\(457\) | −4.22862 | + | 1.65961i | −0.197806 | + | 0.0776333i | −0.462176 | − | 0.886788i | \(-0.652931\pi\) |
0.264370 | + | 0.964421i | \(0.414836\pi\) | |||||||
\(458\) | −8.80994 | + | 0.660214i | −0.411661 | + | 0.0308498i | ||||
\(459\) | −2.28264 | − | 3.95365i | −0.106545 | − | 0.184541i | ||||
\(460\) | −1.26904 | + | 0.598696i | −0.0591691 | + | 0.0279143i | ||||
\(461\) | 9.75000 | + | 4.69535i | 0.454103 | + | 0.218684i | 0.646932 | − | 0.762548i | \(-0.276052\pi\) |
−0.192829 | + | 0.981232i | \(0.561766\pi\) | |||||||
\(462\) | 0.0715407 | − | 1.52932i | 0.00332838 | − | 0.0711505i | ||||
\(463\) | −0.276815 | − | 0.574812i | −0.0128647 | − | 0.0267138i | 0.894438 | − | 0.447193i | \(-0.147576\pi\) |
−0.907302 | + | 0.420479i | \(0.861862\pi\) | |||||||
\(464\) | 2.74082 | − | 36.5737i | 0.127239 | − | 1.69789i | ||||
\(465\) | 12.9357 | + | 4.10356i | 0.599878 | + | 0.190298i | ||||
\(466\) | −40.9874 | + | 12.6429i | −1.89870 | + | 0.585673i | ||||
\(467\) | −12.6278 | − | 0.946323i | −0.584345 | − | 0.0437906i | −0.220722 | − | 0.975337i | \(-0.570841\pi\) |
−0.363623 | + | 0.931546i | \(0.618460\pi\) | |||||||
\(468\) | −0.188971 | − | 0.392403i | −0.00873520 | − | 0.0181388i | ||||
\(469\) | 3.48951 | − | 1.48379i | 0.161130 | − | 0.0685153i | ||||
\(470\) | −18.8639 | + | 10.6911i | −0.870128 | + | 0.493144i | ||||
\(471\) | 4.43585 | − | 7.68311i | 0.204393 | − | 0.354019i | ||||
\(472\) | 3.49474 | − | 2.01769i | 0.160858 | − | 0.0928716i | ||||
\(473\) | 1.16290 | − | 0.0871473i | 0.0534702 | − | 0.00400704i | ||||
\(474\) | −1.32284 | − | 3.37054i | −0.0607600 | − | 0.154814i | ||||
\(475\) | −8.29705 | + | 1.11534i | −0.380695 | + | 0.0511753i | ||||
\(476\) | 0.465233 | + | 0.350120i | 0.0213239 | + | 0.0160477i | ||||
\(477\) | 2.91553 | − | 0.665450i | 0.133493 | − | 0.0304688i | ||||
\(478\) | 7.74999 | + | 11.3671i | 0.354476 | + | 0.519921i | ||||
\(479\) | 6.27917 | − | 5.82621i | 0.286902 | − | 0.266207i | −0.523571 | − | 0.851982i | \(-0.675400\pi\) |
0.810473 | + | 0.585776i | \(0.199210\pi\) | |||||||
\(480\) | 3.70655 | − | 3.93127i | 0.169180 | − | 0.179437i | ||||
\(481\) | −48.5014 | − | 45.0027i | −2.21147 | − | 2.05195i | ||||
\(482\) | 23.7123 | − | 18.9099i | 1.08006 | − | 0.861322i | ||||
\(483\) | −8.81031 | − | 5.65141i | −0.400883 | − | 0.257148i | ||||
\(484\) | 1.78180 | − | 2.23431i | 0.0809911 | − | 0.101560i | ||||
\(485\) | −10.2672 | − | 5.04586i | −0.466212 | − | 0.229121i | ||||
\(486\) | −3.73593 | − | 2.54711i | −0.169465 | − | 0.115539i | ||||
\(487\) | 7.07915 | + | 2.77836i | 0.320787 | + | 0.125900i | 0.520270 | − | 0.854002i | \(-0.325831\pi\) |
−0.199483 | + | 0.979901i | \(0.563926\pi\) | |||||||
\(488\) | −8.10149 | + | 26.2644i | −0.366737 | + | 1.18893i | ||||
\(489\) | 4.33654 | 0.196105 | ||||||||
\(490\) | −12.7351 | − | 19.7936i | −0.575315 | − | 0.894182i | ||||
\(491\) | −6.82783 | −0.308135 | −0.154068 | − | 0.988060i | \(-0.549237\pi\) | ||||
−0.154068 | + | 0.988060i | \(0.549237\pi\) | |||||||
\(492\) | −0.552411 | + | 1.79087i | −0.0249046 | + | 0.0807388i | ||||
\(493\) | −6.46086 | − | 2.53570i | −0.290982 | − | 0.114202i | ||||
\(494\) | 11.9489 | + | 8.14660i | 0.537605 | + | 0.366533i | ||||
\(495\) | 0.0669582 | − | 0.136245i | 0.00300955 | − | 0.00612378i | ||||
\(496\) | −10.2389 | + | 12.8392i | −0.459742 | + | 0.576498i | ||||
\(497\) | 25.1336 | − | 8.53184i | 1.12740 | − | 0.382705i | ||||
\(498\) | −23.8298 | + | 19.0036i | −1.06784 | + | 0.851572i | ||||
\(499\) | 7.96016 | + | 7.38595i | 0.356346 | + | 0.330640i | 0.837949 | − | 0.545749i | \(-0.183755\pi\) |
−0.481603 | + | 0.876389i | \(0.659945\pi\) | |||||||
\(500\) | 2.69103 | + | 1.13129i | 0.120346 | + | 0.0505926i | ||||
\(501\) | −19.3052 | + | 17.9126i | −0.862493 | + | 0.800277i | ||||
\(502\) | 1.19737 | + | 1.75622i | 0.0534414 | + | 0.0783841i | ||||
\(503\) | 9.09335 | − | 2.07550i | 0.405453 | − | 0.0925419i | −0.0149307 | − | 0.999889i | \(-0.504753\pi\) |
0.420383 | + | 0.907347i | \(0.361896\pi\) | |||||||
\(504\) | −1.97043 | − | 0.391933i | −0.0877698 | − | 0.0174581i | ||||
\(505\) | 2.35698 | + | 2.58126i | 0.104884 | + | 0.114865i | ||||
\(506\) | 0.308671 | + | 0.786480i | 0.0137221 | + | 0.0349633i | ||||
\(507\) | −32.8202 | + | 2.45953i | −1.45759 | + | 0.109232i | ||||
\(508\) | −2.58745 | + | 1.49387i | −0.114800 | + | 0.0662797i | ||||
\(509\) | 13.9685 | − | 24.1941i | 0.619142 | − | 1.07239i | −0.370501 | − | 0.928832i | \(-0.620814\pi\) |
0.989643 | − | 0.143553i | \(-0.0458528\pi\) | |||||||
\(510\) | −2.30022 | − | 4.05862i | −0.101855 | − | 0.179719i | ||||
\(511\) | 2.66013 | + | 14.8158i | 0.117677 | + | 0.655413i | ||||
\(512\) | −7.26945 | − | 15.0952i | −0.321267 | − | 0.667119i | ||||
\(513\) | 9.04333 | + | 0.677704i | 0.399273 | + | 0.0299213i | ||||
\(514\) | 31.6580 | − | 9.76520i | 1.39637 | − | 0.430725i | ||||
\(515\) | 28.6811 | + | 9.09845i | 1.26384 | + | 0.400926i | ||||
\(516\) | 0.160212 | − | 2.13788i | 0.00705293 | − | 0.0941149i | ||||
\(517\) | 0.654122 | + | 1.35830i | 0.0287683 | + | 0.0597379i | ||||
\(518\) | 45.1044 | − | 8.09837i | 1.98177 | − | 0.355822i | ||||
\(519\) | 2.51130 | + | 1.20938i | 0.110234 | + | 0.0530859i | ||||
\(520\) | 14.3296 | + | 30.3740i | 0.628395 | + | 1.33199i | ||||
\(521\) | −9.97599 | − | 17.2789i | −0.437056 | − | 0.757003i | 0.560405 | − | 0.828219i | \(-0.310645\pi\) |
−0.997461 | + | 0.0712157i | \(0.977312\pi\) | |||||||
\(522\) | −3.58574 | + | 0.268714i | −0.156944 | + | 0.0117613i | ||||
\(523\) | −28.0118 | + | 10.9938i | −1.22487 | + | 0.480727i | −0.887571 | − | 0.460670i | \(-0.847609\pi\) |
−0.337301 | + | 0.941397i | \(0.609514\pi\) | |||||||
\(524\) | 0.916219 | − | 4.01422i | 0.0400252 | − | 0.175362i | ||||
\(525\) | 3.50536 | + | 21.4917i | 0.152986 | + | 0.937973i | ||||
\(526\) | 4.96999 | + | 21.7750i | 0.216702 | + | 0.949433i | ||||
\(527\) | 1.75063 | + | 2.56771i | 0.0762587 | + | 0.111851i | ||||
\(528\) | −1.16583 | − | 1.25647i | −0.0507364 | − | 0.0546808i | ||||
\(529\) | −17.0313 | − | 2.56706i | −0.740493 | − | 0.111611i | ||||
\(530\) | 33.8171 | − | 7.43486i | 1.46892 | − | 0.322950i | ||||
\(531\) | −0.279435 | − | 0.350400i | −0.0121264 | − | 0.0152061i | ||||
\(532\) | −1.09524 | + | 0.371790i | −0.0474848 | + | 0.0161192i | ||||
\(533\) | −19.5830 | − | 15.6169i | −0.848235 | − | 0.676444i | ||||
\(534\) | 20.9922 | − | 3.16407i | 0.908422 | − | 0.136923i | ||||
\(535\) | 7.31971 | + | 19.0974i | 0.316459 | + | 0.825655i | ||||
\(536\) | 1.36911 | − | 3.48843i | 0.0591365 | − | 0.150677i | ||||
\(537\) | 5.04861 | − | 16.3672i | 0.217864 | − | 0.706296i | ||||
\(538\) | 25.7959i | 1.11214i | ||||||||
\(539\) | −1.43228 | + | 0.791610i | −0.0616926 | + | 0.0340970i | ||||
\(540\) | −2.59841 | − | 1.80214i | −0.111818 | − | 0.0775516i | ||||
\(541\) | 33.4381 | + | 10.3143i | 1.43762 | + | 0.443446i | 0.913023 | − | 0.407908i | \(-0.133741\pi\) |
0.524593 | + | 0.851353i | \(0.324218\pi\) | |||||||
\(542\) | 18.1961 | + | 7.14143i | 0.781588 | + | 0.306751i | ||||
\(543\) | −10.9615 | + | 16.0776i | −0.470405 | + | 0.689957i | ||||
\(544\) | 1.22347 | − | 0.184408i | 0.0524558 | − | 0.00790645i | ||||
\(545\) | 3.71529 | + | 12.3953i | 0.159146 | + | 0.530958i | ||||
\(546\) | 20.3100 | − | 31.6625i | 0.869189 | − | 1.35503i | ||||
\(547\) | −32.8391 | + | 26.1883i | −1.40410 | + | 1.11973i | −0.427658 | + | 0.903941i | \(0.640661\pi\) |
−0.976440 | + | 0.215790i | \(0.930767\pi\) | |||||||
\(548\) | −2.13048 | + | 2.29611i | −0.0910096 | + | 0.0980851i | ||||
\(549\) | 3.01851 | + | 0.454967i | 0.128827 | + | 0.0194175i | ||||
\(550\) | 0.787833 | − | 1.57124i | 0.0335933 | − | 0.0669979i | ||||
\(551\) | 11.3915 | − | 7.76660i | 0.485295 | − | 0.330868i | ||||
\(552\) | −10.0852 | + | 2.30188i | −0.429254 | + | 0.0979745i | ||||
\(553\) | −2.32727 | + | 3.09243i | −0.0989655 | + | 0.131503i | ||||
\(554\) | −6.59790 | + | 28.9073i | −0.280318 | + | 1.22815i | ||||
\(555\) | −41.2576 | − | 9.76412i | −1.75129 | − | 0.414464i | ||||
\(556\) | 0.310035 | + | 4.13713i | 0.0131484 | + | 0.175453i | ||||
\(557\) | −13.7236 | + | 7.92330i | −0.581486 | + | 0.335721i | −0.761724 | − | 0.647902i | \(-0.775647\pi\) |
0.180238 | + | 0.983623i | \(0.442313\pi\) | |||||||
\(558\) | 1.39433 | + | 0.805017i | 0.0590267 | + | 0.0340791i | ||||
\(559\) | 25.8151 | + | 12.4319i | 1.09186 | + | 0.525814i | ||||
\(560\) | −25.8022 | − | 5.34684i | −1.09034 | − | 0.225945i | ||||
\(561\) | −0.292241 | + | 0.140736i | −0.0123384 | + | 0.00594187i | ||||
\(562\) | −10.8597 | − | 0.813822i | −0.458089 | − | 0.0343290i | ||||
\(563\) | −4.90925 | − | 15.9154i | −0.206900 | − | 0.670754i | −0.998236 | − | 0.0593721i | \(-0.981090\pi\) |
0.791336 | − | 0.611382i | \(-0.209386\pi\) | |||||||
\(564\) | 2.64844 | − | 0.816935i | 0.111519 | − | 0.0343992i | ||||
\(565\) | −3.09258 | + | 3.81505i | −0.130106 | + | 0.160501i | ||||
\(566\) | −13.6437 | + | 6.57046i | −0.573488 | + | 0.276177i | ||||
\(567\) | 0.994547 | − | 21.2604i | 0.0417671 | − | 0.892852i | ||||
\(568\) | 11.3814 | − | 23.6338i | 0.477554 | − | 0.991651i | ||||
\(569\) | −5.75006 | + | 9.95940i | −0.241055 | + | 0.417520i | −0.961015 | − | 0.276496i | \(-0.910827\pi\) |
0.719960 | + | 0.694016i | \(0.244160\pi\) | |||||||
\(570\) | 9.23527 | + | 0.766314i | 0.386823 | + | 0.0320974i | ||||
\(571\) | −3.38705 | − | 45.1971i | −0.141744 | − | 1.89144i | −0.387148 | − | 0.922018i | \(-0.626540\pi\) |
0.245404 | − | 0.969421i | \(-0.421079\pi\) | |||||||
\(572\) | −0.326380 | + | 0.128095i | −0.0136466 | + | 0.00535591i | ||||
\(573\) | 22.1215 | + | 5.04910i | 0.924141 | + | 0.210929i | ||||
\(574\) | 16.7984 | − | 4.33327i | 0.701150 | − | 0.180867i | ||||
\(575\) | −6.60992 | − | 10.0357i | −0.275653 | − | 0.418519i | ||||
\(576\) | −1.60779 | + | 1.09617i | −0.0669913 | + | 0.0456739i | ||||
\(577\) | 12.2187 | + | 13.1686i | 0.508671 | + | 0.548217i | 0.934210 | − | 0.356723i | \(-0.116106\pi\) |
−0.425539 | + | 0.904940i | \(0.639915\pi\) | |||||||
\(578\) | −3.65072 | + | 24.2209i | −0.151850 | + | 1.00746i | ||||
\(579\) | 17.4718 | + | 16.2115i | 0.726105 | + | 0.673727i | ||||
\(580\) | −4.79677 | + | 0.320962i | −0.199175 | + | 0.0133272i | ||||
\(581\) | 30.6493 | + | 11.0472i | 1.27155 | + | 0.458316i | ||||
\(582\) | 9.90083 | + | 7.89565i | 0.410403 | + | 0.327285i | ||||
\(583\) | −0.358810 | − | 2.38055i | −0.0148604 | − | 0.0985922i | ||||
\(584\) | 12.2915 | + | 8.38023i | 0.508628 | + | 0.346777i | ||||
\(585\) | 3.09854 | − | 2.07649i | 0.128109 | − | 0.0858522i | ||||
\(586\) | −14.5138 | − | 4.47691i | −0.599559 | − | 0.184940i | ||||
\(587\) | − | 31.8889i | − | 1.31620i | −0.752932 | − | 0.658098i | \(-0.771361\pi\) | ||
0.752932 | − | 0.658098i | \(-0.228639\pi\) | |||||||
\(588\) | 1.04660 | + | 2.82060i | 0.0431610 | + | 0.116319i | ||||
\(589\) | −6.17328 | −0.254366 | ||||||||
\(590\) | −3.20285 | − | 4.08273i | −0.131859 | − | 0.168083i | ||||
\(591\) | 8.78261 | − | 22.3777i | 0.361268 | − | 0.920497i | ||||
\(592\) | 28.9007 | − | 42.3895i | 1.18781 | − | 1.74220i | ||||
\(593\) | 2.63209 | + | 17.4627i | 0.108087 | + | 0.717109i | 0.975577 | + | 0.219656i | \(0.0704934\pi\) |
−0.867491 | + | 0.497453i | \(0.834269\pi\) | |||||||
\(594\) | −1.18714 | + | 1.48863i | −0.0487091 | + | 0.0610792i | ||||
\(595\) | −2.40612 | + | 4.36764i | −0.0986413 | + | 0.179056i | ||||
\(596\) | 2.51879 | + | 3.15846i | 0.103174 | + | 0.129376i | ||||
\(597\) | 16.6317 | − | 17.9247i | 0.680691 | − | 0.733610i | ||||
\(598\) | −3.09394 | + | 20.5270i | −0.126521 | + | 0.839410i | ||||
\(599\) | 13.8824 | − | 12.8810i | 0.567220 | − | 0.526304i | −0.343595 | − | 0.939118i | \(-0.611645\pi\) |
0.910815 | + | 0.412814i | \(0.135454\pi\) | |||||||
\(600\) | 17.5854 | + | 12.4056i | 0.717919 | + | 0.506455i | ||||
\(601\) | 3.29558 | + | 14.4389i | 0.134429 | + | 0.588973i | 0.996603 | + | 0.0823600i | \(0.0262457\pi\) |
−0.862173 | + | 0.506613i | \(0.830897\pi\) | |||||||
\(602\) | −17.6313 | + | 9.10864i | −0.718598 | + | 0.371241i | ||||
\(603\) | −0.405770 | − | 0.0926143i | −0.0165242 | − | 0.00377154i | ||||
\(604\) | 2.15398 | + | 5.48826i | 0.0876444 | + | 0.223314i | ||||
\(605\) | 21.0972 | + | 12.4062i | 0.857721 | + | 0.504383i | ||||
\(606\) | −1.93465 | − | 3.35091i | −0.0785896 | − | 0.136121i | ||||
\(607\) | 25.7100 | + | 14.8437i | 1.04354 | + | 0.602487i | 0.920833 | − | 0.389957i | \(-0.127510\pi\) |
0.122704 | + | 0.992443i | \(0.460843\pi\) | |||||||
\(608\) | −1.06640 | + | 2.21441i | −0.0432483 | + | 0.0898061i | ||||
\(609\) | −21.0250 | − | 29.0522i | −0.851975 | − | 1.17726i | ||||
\(610\) | 34.9058 | + | 5.54670i | 1.41330 | + | 0.224579i | ||||
\(611\) | −2.76813 | + | 36.9382i | −0.111987 | + | 1.49436i | ||||
\(612\) | −0.0188378 | − | 0.0610708i | −0.000761475 | − | 0.00246864i | ||||
\(613\) | 7.68370 | + | 24.9099i | 0.310342 | + | 1.00610i | 0.967611 | + | 0.252447i | \(0.0812354\pi\) |
−0.657269 | + | 0.753656i | \(0.728288\pi\) | |||||||
\(614\) | −2.13495 | + | 28.4889i | −0.0861594 | + | 1.14972i | ||||
\(615\) | −15.8515 | − | 2.51887i | −0.639193 | − | 0.101571i | ||||
\(616\) | −0.433175 | + | 1.55823i | −0.0174531 | + | 0.0627830i | ||||
\(617\) | 0.596748 | − | 1.23916i | 0.0240242 | − | 0.0498867i | −0.888611 | − | 0.458661i | \(-0.848329\pi\) |
0.912636 | + | 0.408774i | \(0.134044\pi\) | |||||||
\(618\) | −28.8453 | − | 16.6538i | −1.16033 | − | 0.669915i | ||||
\(619\) | 7.59382 | + | 13.1529i | 0.305221 | + | 0.528659i | 0.977311 | − | 0.211811i | \(-0.0679362\pi\) |
−0.672089 | + | 0.740470i | \(0.734603\pi\) | |||||||
\(620\) | 1.85553 | + | 1.09115i | 0.0745200 | + | 0.0438215i | ||||
\(621\) | 4.75581 | + | 12.1176i | 0.190844 | + | 0.486263i | ||||
\(622\) | −28.5480 | − | 6.51589i | −1.14467 | − | 0.261263i | ||||
\(623\) | −14.6403 | − | 17.3375i | −0.586553 | − | 0.694612i | ||||
\(624\) | −9.37118 | − | 41.0578i | −0.375148 | − | 1.64363i | ||||
\(625\) | −6.33876 | + | 24.1831i | −0.253551 | + | 0.967322i | ||||
\(626\) | −26.5790 | + | 24.6617i | −1.06231 | + | 0.985680i | ||||
\(627\) | 0.0960323 | − | 0.637133i | 0.00383516 | − | 0.0254446i | ||||
\(628\) | 0.957138 | − | 1.03155i | 0.0381940 | − | 0.0411633i | ||||
\(629\) | −6.05335 | − | 7.59067i | −0.241363 | − | 0.302660i | ||||
\(630\) | −0.141327 | + | 2.57956i | −0.00563061 | + | 0.102772i | ||||
\(631\) | 10.1586 | − | 12.7385i | 0.404408 | − | 0.507112i | −0.537370 | − | 0.843347i | \(-0.680582\pi\) |
0.941778 | + | 0.336235i | \(0.109154\pi\) | |||||||
\(632\) | 0.570087 | + | 3.78228i | 0.0226768 | + | 0.150451i | ||||
\(633\) | −9.21527 | + | 13.5163i | −0.366274 | + | 0.537225i | ||||
\(634\) | 7.25230 | − | 18.4786i | 0.288026 | − | 0.733878i | ||||
\(635\) | −15.7932 | − | 20.1318i | −0.626733 | − | 0.798907i | ||||
\(636\) | −4.42584 | −0.175496 | ||||||||
\(637\) | −40.2014 | − | 0.751482i | −1.59284 | − | 0.0297748i | ||||
\(638\) | 2.89471i | 0.114603i | ||||||||
\(639\) | −2.78390 | − | 0.858721i | −0.110130 | − | 0.0339705i | ||||
\(640\) | −24.1696 | + | 16.1973i | −0.955387 | + | 0.640254i | ||||
\(641\) | 32.7101 | + | 22.3014i | 1.29197 | + | 0.880852i | 0.997205 | − | 0.0747163i | \(-0.0238051\pi\) |
0.294768 | + | 0.955569i | \(0.404758\pi\) | |||||||
\(642\) | −3.37424 | − | 22.3866i | −0.133170 | − | 0.883528i | ||||
\(643\) | −25.3091 | − | 20.1834i | −0.998095 | − | 0.795954i | −0.0190955 | − | 0.999818i | \(-0.506079\pi\) |
−0.978999 | + | 0.203864i | \(0.934650\pi\) | |||||||
\(644\) | −1.16295 | − | 1.18490i | −0.0458268 | − | 0.0466915i | ||||
\(645\) | 18.3195 | − | 1.22579i | 0.721329 | − | 0.0482656i | ||||
\(646\) | 1.55562 | + | 1.44340i | 0.0612050 | + | 0.0567900i | ||||
\(647\) | 2.14820 | − | 14.2524i | 0.0844545 | − | 0.560319i | −0.906086 | − | 0.423095i | \(-0.860944\pi\) |
0.990540 | − | 0.137224i | \(-0.0438181\pi\) | |||||||
\(648\) | −14.3071 | − | 15.4194i | −0.562035 | − | 0.605730i | ||||
\(649\) | −0.298104 | + | 0.203244i | −0.0117016 | + | 0.00797801i | ||||
\(650\) | 36.0665 | − | 23.7548i | 1.41464 | − | 0.931738i | ||||
\(651\) | 0.450423 | + | 16.0511i | 0.0176535 | + | 0.629090i | ||||
\(652\) | 0.670602 | + | 0.153061i | 0.0262628 | + | 0.00599432i | ||||
\(653\) | 37.1334 | − | 14.5738i | 1.45314 | − | 0.570316i | 0.498188 | − | 0.867069i | \(-0.333999\pi\) |
0.954954 | + | 0.296753i | \(0.0959037\pi\) | |||||||
\(654\) | −1.07044 | − | 14.2840i | −0.0418575 | − | 0.558549i | ||||
\(655\) | 35.1417 | + | 2.91595i | 1.37310 | + | 0.113935i | ||||
\(656\) | 9.71113 | − | 16.8202i | 0.379156 | − | 0.656717i | ||||
\(657\) | 0.716872 | − | 1.48860i | 0.0279678 | − | 0.0580758i | ||||
\(658\) | −19.2889 | − | 16.9158i | −0.751961 | − | 0.659446i | ||||
\(659\) | 14.5314 | − | 6.99797i | 0.566064 | − | 0.272602i | −0.128887 | − | 0.991659i | \(-0.541140\pi\) |
0.694951 | + | 0.719057i | \(0.255426\pi\) | |||||||
\(660\) | −0.141480 | + | 0.174532i | −0.00550710 | + | 0.00679365i | ||||
\(661\) | −11.1003 | + | 3.42400i | −0.431753 | + | 0.133178i | −0.503012 | − | 0.864280i | \(-0.667775\pi\) |
0.0712583 | + | 0.997458i | \(0.477299\pi\) | |||||||
\(662\) | −9.35841 | − | 30.3392i | −0.363725 | − | 1.17917i | ||||
\(663\) | −7.94734 | − | 0.595571i | −0.308649 | − | 0.0231300i | ||||
\(664\) | 29.0095 | − | 13.9702i | 1.12579 | − | 0.542150i | ||||
\(665\) | −4.47605 | − | 8.83652i | −0.173574 | − | 0.342666i | ||||
\(666\) | −4.53181 | − | 2.18241i | −0.175604 | − | 0.0845665i | ||||
\(667\) | 17.1391 | + | 9.89526i | 0.663629 | + | 0.383146i | ||||
\(668\) | −3.61759 | + | 2.08862i | −0.139969 | + | 0.0808110i | ||||
\(669\) | −2.93275 | − | 39.1349i | −0.113387 | − | 1.51304i | ||||
\(670\) | −4.68938 | − | 1.10980i | −0.181167 | − | 0.0428753i | ||||
\(671\) | 0.546830 | − | 2.39582i | 0.0211101 | − | 0.0924895i | ||||
\(672\) | 5.83546 | + | 2.61117i | 0.225108 | + | 0.100728i | ||||
\(673\) | 34.6816 | − | 7.91584i | 1.33688 | − | 0.305133i | 0.506453 | − | 0.862267i | \(-0.330956\pi\) |
0.830423 | + | 0.557134i | \(0.188099\pi\) | |||||||
\(674\) | −6.72390 | + | 4.58428i | −0.258995 | + | 0.176580i | ||||
\(675\) | 12.1385 | − | 24.2087i | 0.467209 | − | 0.931794i | ||||
\(676\) | −5.16211 | − | 0.778064i | −0.198543 | − | 0.0299255i | ||||
\(677\) | 5.49547 | − | 5.92270i | 0.211208 | − | 0.227628i | −0.618559 | − | 0.785739i | \(-0.712283\pi\) |
0.829767 | + | 0.558111i | \(0.188474\pi\) | |||||||
\(678\) | 4.25027 | − | 3.38948i | 0.163231 | − | 0.130172i | ||||
\(679\) | 1.64121 | − | 13.4363i | 0.0629838 | − | 0.515638i | ||||
\(680\) | 1.41495 | + | 4.72069i | 0.0542607 | + | 0.181030i | ||||
\(681\) | −42.1514 | + | 6.35330i | −1.61525 | + | 0.243459i | ||||
\(682\) | 0.730131 | − | 1.07091i | 0.0279582 | − | 0.0410071i | ||||
\(683\) | −0.787258 | − | 0.308976i | −0.0301236 | − | 0.0118226i | 0.350231 | − | 0.936663i | \(-0.386103\pi\) |
−0.380355 | + | 0.924841i | \(0.624198\pi\) | |||||||
\(684\) | 0.121314 | + | 0.0374203i | 0.00463855 | + | 0.00143080i | ||||
\(685\) | −22.0426 | − | 15.2877i | −0.842204 | − | 0.584113i | ||||
\(686\) | 17.1588 | − | 21.9347i | 0.655126 | − | 0.837471i | ||||
\(687\) | 9.67123i | 0.368980i | ||||||||
\(688\) | −6.54877 | + | 21.2306i | −0.249669 | + | 0.809408i | ||||
\(689\) | 21.6102 | − | 55.0620i | 0.823284 | − | 2.09769i | ||||
\(690\) | 4.76076 | + | 12.4210i | 0.181239 | + | 0.472860i | ||||
\(691\) | 5.00745 | − | 0.754751i | 0.190492 | − | 0.0287121i | −0.0531032 | − | 0.998589i | \(-0.516911\pi\) |
0.243595 | + | 0.969877i | \(0.421673\pi\) | |||||||
\(692\) | 0.345662 | + | 0.275656i | 0.0131401 | + | 0.0104789i | ||||
\(693\) | 0.178299 | + | 0.0217787i | 0.00677301 | + | 0.000827304i | ||||
\(694\) | −3.71540 | − | 4.65896i | −0.141035 | − | 0.176852i | ||||
\(695\) | −34.7015 | + | 7.62931i | −1.31630 | + | 0.289396i | ||||
\(696\) | −35.0463 | − | 5.28238i | −1.32843 | − | 0.200228i | ||||
\(697\) | −2.49996 | − | 2.69432i | −0.0946928 | − | 0.102055i | ||||
\(698\) | −2.89150 | − | 4.24104i | −0.109445 | − | 0.160526i | ||||
\(699\) | 10.4484 | + | 45.7775i | 0.395195 | + | 1.73146i | ||||
\(700\) | −0.216492 | + | 3.44719i | −0.00818263 | + | 0.130292i | ||||
\(701\) | −1.77473 | + | 7.77558i | −0.0670305 | + | 0.293680i | −0.997321 | − | 0.0731426i | \(-0.976697\pi\) |
0.930291 | + | 0.366822i | \(0.119554\pi\) | |||||||
\(702\) | −43.5483 | + | 17.0914i | −1.64362 | + | 0.645074i | ||||
\(703\) | 19.2321 | − | 1.44125i | 0.725353 | − | 0.0543577i | ||||
\(704\) | 0.783258 | + | 1.35664i | 0.0295201 | + | 0.0511304i | ||||
\(705\) | 10.1276 | + | 21.4671i | 0.381427 | + | 0.808498i | ||||
\(706\) | −25.8210 | − | 12.4347i | −0.971786 | − | 0.467987i | ||||
\(707\) | −1.96666 | + | 3.63838i | −0.0739638 | + | 0.136835i | ||||
\(708\) | 0.287790 | + | 0.597602i | 0.0108158 | + | 0.0224593i | ||||
\(709\) | −2.97896 | + | 39.7515i | −0.111877 | + | 1.49290i | 0.605294 | + | 0.796002i | \(0.293056\pi\) |
−0.717171 | + | 0.696897i | \(0.754563\pi\) | |||||||
\(710\) | −32.1523 | − | 10.1996i | −1.20665 | − | 0.382784i | ||||
\(711\) | 0.405941 | − | 0.125216i | 0.0152240 | − | 0.00469597i | ||||
\(712\) | −22.3637 | − | 1.67593i | −0.838114 | − | 0.0628080i | ||||
\(713\) | −3.84478 | − | 7.98376i | −0.143988 | − | 0.298994i | ||||
\(714\) | 3.63947 | − | 4.15006i | 0.136204 | − | 0.155312i | ||||
\(715\) | −1.48055 | − | 2.61235i | −0.0553693 | − | 0.0976964i | ||||
\(716\) | 1.35840 | − | 2.35283i | 0.0507660 | − | 0.0879292i | ||||
\(717\) | 13.0427 | − | 7.53023i | 0.487090 | − | 0.281222i | ||||
\(718\) | −6.65727 | + | 0.498894i | −0.248447 | + | 0.0186185i | ||||
\(719\) | 8.66192 | + | 22.0702i | 0.323035 | + | 0.823080i | 0.996479 | + | 0.0838419i | \(0.0267191\pi\) |
−0.673444 | + | 0.739238i | \(0.735186\pi\) | |||||||
\(720\) | 1.95025 | + | 2.13583i | 0.0726815 | + | 0.0795978i | ||||
\(721\) | 0.998682 | + | 35.5885i | 0.0371928 | + | 1.32539i | ||||
\(722\) | 23.7441 | − | 5.41944i | 0.883664 | − | 0.201691i | ||||
\(723\) | −18.7028 | − | 27.4320i | −0.695566 | − | 1.02021i | ||||
\(724\) | −2.26256 | + | 2.09935i | −0.0840874 | + | 0.0780217i | ||||
\(725\) | −8.51929 | − | 40.2811i | −0.316398 | − | 1.49600i | ||||
\(726\) | −19.8599 | − | 18.4273i | −0.737068 | − | 0.683899i | ||||
\(727\) | 4.27999 | − | 3.41318i | 0.158736 | − | 0.126588i | −0.540901 | − | 0.841086i | \(-0.681917\pi\) |
0.699637 | + | 0.714499i | \(0.253345\pi\) | |||||||
\(728\) | −28.3602 | + | 27.8350i | −1.05110 | + | 1.03163i | ||||
\(729\) | −18.1330 | + | 22.7381i | −0.671594 | + | 0.842152i | ||||
\(730\) | 8.43751 | − | 17.1685i | 0.312286 | − | 0.635435i | ||||
\(731\) | 3.47390 | + | 2.36847i | 0.128487 | + | 0.0876009i | ||||
\(732\) | −4.20545 | − | 1.65052i | −0.155438 | − | 0.0610049i | ||||
\(733\) | −3.23109 | + | 10.4749i | −0.119343 | + | 0.386901i | −0.995458 | − | 0.0952015i | \(-0.969650\pi\) |
0.876115 | + | 0.482102i | \(0.160127\pi\) | |||||||
\(734\) | −10.2136 | −0.376991 | ||||||||
\(735\) | −22.6491 | + | 12.2829i | −0.835425 | + | 0.453060i | ||||
\(736\) | −3.52801 | −0.130044 | ||||||||
\(737\) | −0.0987595 | + | 0.320170i | −0.00363785 | + | 0.0117936i | ||||
\(738\) | −1.77256 | − | 0.695677i | −0.0652487 | − | 0.0256082i | ||||
\(739\) | 3.59885 | + | 2.45366i | 0.132386 | + | 0.0902592i | 0.627702 | − | 0.778453i | \(-0.283996\pi\) |
−0.495316 | + | 0.868713i | \(0.664948\pi\) | |||||||
\(740\) | −6.03544 | − | 2.96613i | −0.221867 | − | 0.109037i | ||||
\(741\) | 9.87060 | − | 12.3773i | 0.362605 | − | 0.454693i | ||||
\(742\) | 21.4715 | + | 34.8912i | 0.788242 | + | 1.28090i | ||||
\(743\) | 18.5936 | − | 14.8279i | 0.682134 | − | 0.543983i | −0.219968 | − | 0.975507i | \(-0.570595\pi\) |
0.902102 | + | 0.431524i | \(0.142024\pi\) | |||||||
\(744\) | 11.6331 | + | 10.7939i | 0.426490 | + | 0.395725i | ||||
\(745\) | −23.7342 | + | 25.1731i | −0.869554 | + | 0.922271i | ||||
\(746\) | −21.8211 | + | 20.2470i | −0.798928 | + | 0.741297i | ||||
\(747\) | −2.01443 | − | 2.95463i | −0.0737041 | − | 0.108104i | ||||
\(748\) | −0.0501594 | + | 0.0114486i | −0.00183401 | + | 0.000418601i | ||||
\(749\) | −18.4891 | + | 15.6128i | −0.675577 | + | 0.570480i | ||||
\(750\) | 12.6011 | − | 24.6383i | 0.460127 | − | 0.899663i | ||||
\(751\) | 8.30625 | + | 21.1640i | 0.303099 | + | 0.772284i | 0.998556 | + | 0.0537166i | \(0.0171068\pi\) |
−0.695457 | + | 0.718568i | \(0.744798\pi\) | |||||||
\(752\) | −28.6424 | + | 2.14645i | −1.04448 | + | 0.0782729i | ||||
\(753\) | 2.01510 | − | 1.16342i | 0.0734345 | − | 0.0423974i | ||||
\(754\) | −35.5616 | + | 61.5945i | −1.29508 | + | 2.24314i | ||||
\(755\) | −43.9281 | + | 24.8962i | −1.59871 | + | 0.906067i | ||||
\(756\) | 1.00212 | − | 3.60485i | 0.0364466 | − | 0.131107i | ||||
\(757\) | 1.29827 | + | 2.69588i | 0.0471863 | + | 0.0979833i | 0.923229 | − | 0.384250i | \(-0.125540\pi\) |
−0.876043 | + | 0.482233i | \(0.839826\pi\) | |||||||
\(758\) | 19.5645 | + | 1.46615i | 0.710613 | + | 0.0532531i | ||||
\(759\) | 0.883798 | − | 0.272616i | 0.0320799 | − | 0.00989532i | ||||
\(760\) | −9.33128 | − | 2.96015i | −0.338481 | − | 0.107376i | ||||
\(761\) | −0.413934 | + | 5.52357i | −0.0150051 | + | 0.200229i | 0.984663 | + | 0.174467i | \(0.0558203\pi\) |
−0.999668 | + | 0.0257621i | \(0.991799\pi\) | |||||||
\(762\) | 12.2893 | + | 25.5189i | 0.445193 | + | 0.924454i | ||||
\(763\) | −12.4036 | + | 8.97646i | −0.449042 | + | 0.324970i | ||||
\(764\) | 3.24266 | + | 1.56158i | 0.117315 | + | 0.0564961i | ||||
\(765\) | 0.495013 | − | 0.233534i | 0.0178972 | − | 0.00844343i | ||||
\(766\) | −26.8964 | − | 46.5859i | −0.971807 | − | 1.68322i | ||||
\(767\) | −8.83999 | + | 0.662466i | −0.319194 | + | 0.0239202i | ||||
\(768\) | 9.44534 | − | 3.70702i | 0.340829 | − | 0.133766i | ||||
\(769\) | 11.0062 | − | 48.2215i | 0.396895 | − | 1.73891i | −0.242609 | − | 0.970124i | \(-0.578003\pi\) |
0.639504 | − | 0.768788i | \(-0.279140\pi\) | |||||||
\(770\) | 2.06230 | + | 0.268640i | 0.0743203 | + | 0.00968110i | ||||
\(771\) | −8.07018 | − | 35.3578i | −0.290641 | − | 1.27338i | ||||
\(772\) | 2.12965 | + | 3.12362i | 0.0766477 | + | 0.112422i | ||||
\(773\) | 19.2411 | + | 20.7369i | 0.692053 | + | 0.745856i | 0.977129 | − | 0.212649i | \(-0.0682091\pi\) |
−0.285075 | + | 0.958505i | \(0.592019\pi\) | |||||||
\(774\) | 2.15392 | + | 0.324651i | 0.0774210 | + | 0.0116693i | ||||
\(775\) | −7.00833 | + | 17.0509i | −0.251747 | + | 0.612486i | ||||
\(776\) | −8.34087 | − | 10.4591i | −0.299420 | − | 0.375460i | ||||
\(777\) | −5.15061 | − | 49.9000i | −0.184777 | − | 1.79015i | ||||
\(778\) | −16.3986 | − | 13.0775i | −0.587920 | − | 0.468851i | ||||
\(779\) | 7.21959 | − | 1.08818i | 0.258668 | − | 0.0389880i | ||||
\(780\) | −5.15458 | + | 1.97566i | −0.184564 | + | 0.0707399i | ||||
\(781\) | −0.856840 | + | 2.18319i | −0.0306601 | + | 0.0781207i | ||||
\(782\) | −0.897867 | + | 2.91081i | −0.0321076 | + | 0.104090i | ||||
\(783\) | 44.6000i | 1.59387i | ||||||||
\(784\) | −4.06985 | − | 30.9114i | −0.145352 | − | 1.10398i | ||||
\(785\) | 9.90283 | + | 6.86814i | 0.353447 | + | 0.245134i | ||||
\(786\) | −37.2995 | − | 11.5054i | −1.33043 | − | 0.410383i | ||||
\(787\) | −4.30247 | − | 1.68860i | −0.153367 | − | 0.0601919i | 0.287416 | − | 0.957806i | \(-0.407204\pi\) |
−0.440783 | + | 0.897614i | \(0.645299\pi\) | |||||||
\(788\) | 2.14798 | − | 3.15050i | 0.0765185 | − | 0.112232i | ||||
\(789\) | 24.1768 | − | 3.64407i | 0.860718 | − | 0.129732i | ||||
\(790\) | 4.71151 | − | 1.41219i | 0.167628 | − | 0.0502436i | ||||
\(791\) | −5.46660 | − | 1.97038i | −0.194370 | − | 0.0700586i | ||||
\(792\) | 0.138792 | − | 0.110683i | 0.00493174 | − | 0.00393293i | ||||
\(793\) | 41.0683 | − | 44.2611i | 1.45838 | − | 1.57176i | ||||
\(794\) | 8.35323 | + | 1.25905i | 0.296445 | + | 0.0446819i | ||||
\(795\) | −5.34968 | − | 37.5241i | −0.189734 | − | 1.33084i | ||||
\(796\) | 3.20459 | − | 2.18485i | 0.113584 | − | 0.0774400i | ||||
\(797\) | 21.2079 | − | 4.84056i | 0.751221 | − | 0.171461i | 0.170268 | − | 0.985398i | \(-0.445537\pi\) |
0.580954 | + | 0.813936i | \(0.302680\pi\) | |||||||
\(798\) | 2.73882 | + | 10.6173i | 0.0969531 | + | 0.375849i | ||||
\(799\) | −1.20951 | + | 5.29922i | −0.0427894 | + | 0.187473i | ||||
\(800\) | 4.90564 | + | 5.45940i | 0.173441 | + | 0.193019i | ||||
\(801\) | 0.186132 | + | 2.48376i | 0.00657667 | + | 0.0877595i | ||||
\(802\) | −19.8886 | + | 11.4827i | −0.702291 | + | 0.405468i | ||||
\(803\) | −1.15189 | − | 0.665041i | −0.0406491 | − | 0.0234688i | ||||
\(804\) | 0.554968 | + | 0.267259i | 0.0195722 | + | 0.00942548i | ||||
\(805\) | 8.64034 | − | 11.2922i | 0.304532 | − | 0.397999i | ||||
\(806\) | 28.6920 | − | 13.8174i | 1.01063 | − | 0.486696i | ||||
\(807\) | 28.1596 | + | 2.11027i | 0.991266 | + | 0.0742851i | ||||
\(808\) | 1.20480 | + | 3.90588i | 0.0423848 | + | 0.137408i | ||||
\(809\) | −37.1077 | + | 11.4462i | −1.30464 | + | 0.402427i | −0.867710 | − | 0.497071i | \(-0.834409\pi\) |
−0.436926 | + | 0.899497i | \(0.643933\pi\) | |||||||
\(810\) | −17.0328 | + | 21.0119i | −0.598470 | + | 0.738283i | ||||
\(811\) | −50.3095 | + | 24.2278i | −1.76661 | + | 0.850753i | −0.797806 | + | 0.602914i | \(0.794006\pi\) |
−0.968801 | + | 0.247839i | \(0.920280\pi\) | |||||||
\(812\) | −2.22589 | − | 5.23472i | −0.0781133 | − | 0.183703i | ||||
\(813\) | 9.28438 | − | 19.2792i | 0.325617 | − | 0.676151i | ||||
\(814\) | −2.02462 | + | 3.50674i | −0.0709627 | + | 0.122911i | ||||
\(815\) | −0.487128 | + | 5.87065i | −0.0170634 | + | 0.205640i | ||||
\(816\) | −0.461813 | − | 6.16247i | −0.0161667 | − | 0.215730i | ||||
\(817\) | −7.77462 | + | 3.05131i | −0.272000 | + | 0.106752i | ||||
\(818\) | 41.4104 | + | 9.45165i | 1.44788 | + | 0.330469i | ||||
\(819\) | 3.52634 | + | 2.65382i | 0.123220 | + | 0.0927319i | ||||
\(820\) | −2.36236 | − | 0.949004i | −0.0824973 | − | 0.0331407i | ||||
\(821\) | 36.3314 | − | 24.7703i | 1.26797 | − | 0.864490i | 0.272747 | − | 0.962086i | \(-0.412068\pi\) |
0.995226 | + | 0.0975962i | \(0.0311154\pi\) | |||||||
\(822\) | 20.1971 | + | 21.7673i | 0.704454 | + | 0.759221i | ||||
\(823\) | 5.14907 | − | 34.1618i | 0.179485 | − | 1.19081i | −0.699739 | − | 0.714399i | \(-0.746700\pi\) |
0.879224 | − | 0.476408i | \(-0.158062\pi\) | |||||||
\(824\) | 25.7930 | + | 23.9324i | 0.898542 | + | 0.833725i | ||||
\(825\) | −1.65077 | − | 0.988562i | −0.0574723 | − | 0.0344173i | ||||
\(826\) | 3.31504 | − | 5.16800i | 0.115345 | − | 0.179818i | ||||
\(827\) | −10.0362 | − | 8.00360i | −0.348993 | − | 0.278312i | 0.433266 | − | 0.901266i | \(-0.357361\pi\) |
−0.782259 | + | 0.622954i | \(0.785932\pi\) | |||||||
\(828\) | 0.0271605 | + | 0.180198i | 0.000943892 | + | 0.00626231i | ||||
\(829\) | −31.4533 | − | 21.4445i | −1.09242 | − | 0.744798i | −0.123540 | − | 0.992340i | \(-0.539425\pi\) |
−0.968877 | + | 0.247542i | \(0.920377\pi\) | |||||||
\(830\) | −23.0496 | − | 34.3946i | −0.800062 | − | 1.19385i | ||||
\(831\) | 31.0164 | + | 9.56730i | 1.07595 | + | 0.331886i | ||||
\(832\) | 38.4894i | 1.33438i | ||||||||
\(833\) | −5.81682 | − | 0.988262i | −0.201541 | − | 0.0342412i | ||||
\(834\) | 39.3301 | 1.36189 | ||||||||
\(835\) | −22.0809 | − | 28.1468i | −0.764140 | − | 0.974061i | ||||
\(836\) | 0.0373383 | − | 0.0951365i | 0.00129137 | − | 0.00329037i | ||||
\(837\) | 11.2494 | − | 16.4999i | 0.388837 | − | 0.570319i | ||||
\(838\) | −0.389331 | − | 2.58305i | −0.0134492 | − | 0.0892298i | ||||
\(839\) | 8.41531 | − | 10.5525i | 0.290529 | − | 0.364312i | −0.615051 | − | 0.788487i | \(-0.710865\pi\) |
0.905580 | + | 0.424176i | \(0.139436\pi\) | |||||||
\(840\) | −7.01579 | + | 24.4781i | −0.242068 | + | 0.844575i | ||||
\(841\) | 24.1949 | + | 30.3395i | 0.834308 | + | 1.04619i | ||||
\(842\) | −0.0134520 | + | 0.0144978i | −0.000463588 | + | 0.000499629i | ||||
\(843\) | −1.77679 | + | 11.7882i | −0.0611959 | + | 0.406008i | ||||
\(844\) | −1.90211 | + | 1.76490i | −0.0654734 | + | 0.0607505i | ||||
\(845\) | 0.357100 | − | 44.7070i | 0.0122846 | − | 1.53797i | ||||
\(846\) | 0.626622 | + | 2.74541i | 0.0215437 | + | 0.0943891i | ||||
\(847\) | −5.64942 | + | 28.4023i | −0.194117 | + | 0.975913i | ||||
\(848\) | 44.7164 | + | 10.2062i | 1.53557 | + | 0.350483i | ||||
\(849\) | 6.05639 | + | 15.4314i | 0.207855 | + | 0.529605i | ||||
\(850\) | 5.75280 | − | 2.65804i | 0.197319 | − | 0.0911701i | ||||
\(851\) | 13.8419 | + | 23.9748i | 0.474493 | + | 0.821846i | ||||
\(852\) | 3.73398 | + | 2.15582i | 0.127924 | + | 0.0738571i | ||||
\(853\) | 13.9879 | − | 29.0462i | 0.478938 | − | 0.994524i | −0.511847 | − | 0.859077i | \(-0.671038\pi\) |
0.990785 | − | 0.135448i | \(-0.0432473\pi\) | |||||||
\(854\) | 7.39036 | + | 41.1611i | 0.252893 | + | 1.40850i | ||||
\(855\) | −0.170628 | + | 1.07378i | −0.00583537 | + | 0.0367225i | ||||
\(856\) | −1.78725 | + | 23.8492i | −0.0610869 | + | 0.815147i | ||||
\(857\) | 1.12670 | + | 3.65267i | 0.0384873 | + | 0.124773i | 0.972778 | − | 0.231740i | \(-0.0744418\pi\) |
−0.934290 | + | 0.356513i | \(0.883966\pi\) | |||||||
\(858\) | 0.979727 | + | 3.17620i | 0.0334473 | + | 0.108434i | ||||
\(859\) | −0.416427 | + | 5.55683i | −0.0142083 | + | 0.189597i | 0.985583 | + | 0.169190i | \(0.0541151\pi\) |
−0.999792 | + | 0.0204067i | \(0.993504\pi\) | |||||||
\(860\) | 2.87619 | + | 0.457039i | 0.0980771 | + | 0.0155849i | ||||
\(861\) | −3.35612 | − | 18.6921i | −0.114376 | − | 0.637026i | ||||
\(862\) | 20.7767 | − | 43.1433i | 0.707658 | − | 1.46947i | ||||
\(863\) | −45.9551 | − | 26.5322i | −1.56433 | − | 0.903167i | −0.996810 | − | 0.0798076i | \(-0.974569\pi\) |
−0.567521 | − | 0.823359i | \(-0.692097\pi\) | |||||||
\(864\) | −3.97536 | − | 6.88552i | −0.135244 | − | 0.234250i | ||||
\(865\) | −1.91931 | + | 3.26386i | −0.0652585 | + | 0.110975i | ||||
\(866\) | 18.7686 | + | 47.8216i | 0.637783 | + | 1.62505i | ||||
\(867\) | 26.1417 | + | 5.96667i | 0.887819 | + | 0.202639i | ||||
\(868\) | −0.496877 | + | 2.49803i | −0.0168651 | + | 0.0847887i | ||||
\(869\) | −0.0760992 | − | 0.333412i | −0.00258149 | − | 0.0113102i | ||||
\(870\) | −0.364024 | + | 45.5739i | −0.0123416 | + | 1.54510i | ||||
\(871\) | −6.03474 | + | 5.59942i | −0.204479 | + | 0.189729i | ||||
\(872\) | −2.25527 | + | 14.9628i | −0.0763732 | + | 0.506703i | ||||
\(873\) | −1.01057 | + | 1.08914i | −0.0342028 | + | 0.0368618i | ||||
\(874\) | −3.77273 | − | 4.73086i | −0.127615 | − | 0.160024i | ||||
\(875\) | −29.4884 | + | 2.33124i | −0.996890 | + | 0.0788104i | ||||
\(876\) | −1.52457 | + | 1.91176i | −0.0515106 | + | 0.0645923i | ||||
\(877\) | −1.89774 | − | 12.5907i | −0.0640822 | − | 0.425158i | −0.997752 | − | 0.0670215i | \(-0.978650\pi\) |
0.933669 | − | 0.358136i | \(-0.116588\pi\) | |||||||
\(878\) | 3.74268 | − | 5.48950i | 0.126309 | − | 0.185262i | ||||
\(879\) | −6.07447 | + | 15.4775i | −0.204887 | + | 0.522043i | ||||
\(880\) | 1.83192 | − | 1.43712i | 0.0617541 | − | 0.0484454i | ||||
\(881\) | 8.49675 | 0.286263 | 0.143131 | − | 0.989704i | \(-0.454283\pi\) | ||||
0.143131 | + | 0.989704i | \(0.454283\pi\) | |||||||
\(882\) | −2.93728 | + | 0.846244i | −0.0989032 | + | 0.0284945i | ||||
\(883\) | − | 33.3375i | − | 1.12190i | −0.827851 | − | 0.560949i | \(-0.810436\pi\) | ||
0.827851 | − | 0.560949i | \(-0.189564\pi\) | |||||||
\(884\) | −1.20795 | − | 0.372604i | −0.0406279 | − | 0.0125320i | ||||
\(885\) | −4.71885 | + | 3.16235i | −0.158623 | + | 0.106301i | ||||
\(886\) | 27.7382 | + | 18.9116i | 0.931883 | + | 0.635347i | ||||
\(887\) | 7.82875 | + | 51.9403i | 0.262864 | + | 1.74399i | 0.597710 | + | 0.801713i | \(0.296078\pi\) |
−0.334846 | + | 0.942273i | \(0.608684\pi\) | |||||||
\(888\) | −38.7615 | − | 30.9113i | −1.30075 | − | 1.03731i | ||||
\(889\) | 16.3464 | − | 25.4833i | 0.548239 | − | 0.854682i | ||||
\(890\) | 1.92532 | + | 28.7739i | 0.0645369 | + | 0.964503i | ||||
\(891\) | 1.37862 | + | 1.27917i | 0.0461854 | + | 0.0428538i | ||||
\(892\) | 0.927766 | − | 6.15532i | 0.0310639 | − | 0.206095i | ||||
\(893\) | −7.34404 | − | 7.91499i | −0.245759 | − | 0.264865i | ||||
\(894\) | 31.6431 | − | 21.5739i | 1.05830 | − | 0.721539i | ||||
\(895\) | 21.5902 | + | 8.67317i | 0.721680 | + | 0.289912i | ||||
\(896\) | −27.5066 | − | 20.7007i | −0.918931 | − | 0.691560i | ||||
\(897\) | 22.1548 | + | 5.05669i | 0.739728 | + | 0.168838i | ||||
\(898\) | 32.7005 | − | 12.8340i | 1.09123 | − | 0.428277i | ||||
\(899\) | −2.26883 | − | 30.2754i | −0.0756697 | − | 1.00974i | ||||
\(900\) | 0.241080 | − | 0.292592i | 0.00803601 | − | 0.00975307i | ||||
\(901\) | 4.33989 | − | 7.51691i | 0.144583 | − | 0.250424i | ||||
\(902\) | −0.665109 | + | 1.38111i | −0.0221457 | + | 0.0459861i | ||||
\(903\) | 8.50094 | + | 19.9920i | 0.282894 | + | 0.665294i | ||||
\(904\) | −5.17412 | + | 2.49172i | −0.172089 | + | 0.0828735i | ||||
\(905\) | −20.5340 | − | 16.6454i | −0.682573 | − | 0.553310i | ||||
\(906\) | 53.4095 | − | 16.4746i | 1.77441 | − | 0.547333i | ||||
\(907\) | −1.38423 | − | 4.48757i | −0.0459627 | − | 0.149007i | 0.929683 | − | 0.368362i | \(-0.120081\pi\) |
−0.975645 | + | 0.219354i | \(0.929605\pi\) | |||||||
\(908\) | −6.74253 | − | 0.505283i | −0.223759 | − | 0.0167684i | ||||
\(909\) | 0.409008 | − | 0.196968i | 0.0135659 | − | 0.00653301i | ||||
\(910\) | 40.5821 | + | 31.0517i | 1.34528 | + | 1.02935i | ||||
\(911\) | −25.6755 | − | 12.3647i | −0.850667 | − | 0.409659i | −0.0428417 | − | 0.999082i | \(-0.513641\pi\) |
−0.807825 | + | 0.589422i | \(0.799355\pi\) | |||||||
\(912\) | 10.6311 | + | 6.13787i | 0.352031 | + | 0.203245i | ||||
\(913\) | −2.49309 | + | 1.43939i | −0.0825093 | + | 0.0476367i | ||||
\(914\) | 0.510461 | + | 6.81163i | 0.0168846 | + | 0.225309i | ||||
\(915\) | 8.91048 | − | 37.6506i | 0.294572 | − | 1.24469i | ||||
\(916\) | −0.341351 | + | 1.49556i | −0.0112786 | + | 0.0494146i | ||||
\(917\) | 10.4216 | + | 40.4006i | 0.344153 | + | 1.33414i | ||||
\(918\) | −6.69268 | + | 1.52756i | −0.220891 | + | 0.0504170i | ||||
\(919\) | 14.5156 | − | 9.89655i | 0.478824 | − | 0.326457i | −0.299741 | − | 0.954021i | \(-0.596900\pi\) |
0.778565 | + | 0.627564i | \(0.215948\pi\) | |||||||
\(920\) | −1.98332 | − | 13.9115i | −0.0653881 | − | 0.458650i | ||||
\(921\) | 30.9247 | + | 4.66116i | 1.01900 | + | 0.153590i | ||||
\(922\) | 11.0681 | − | 11.9286i | 0.364509 | − | 0.392847i | ||||
\(923\) | −45.0527 | + | 35.9283i | −1.48293 | + | 1.18259i | ||||
\(924\) | −0.250087 | − | 0.0901414i | −0.00822727 | − | 0.00296543i | ||||
\(925\) | 17.8528 | − | 54.7562i | 0.586997 | − | 1.80037i | ||||
\(926\) | −0.948632 | + | 0.142983i | −0.0311740 | + | 0.00469872i | ||||
\(927\) | 2.20135 | − | 3.22879i | 0.0723019 | − | 0.106047i | ||||
\(928\) | −11.2520 | − | 4.41607i | −0.369364 | − | 0.144965i | ||||
\(929\) | −37.4358 | − | 11.5474i | −1.22823 | − | 0.378858i | −0.388288 | − | 0.921538i | \(-0.626934\pi\) |
−0.839940 | + | 0.542680i | \(0.817410\pi\) | |||||||
\(930\) | 11.6297 | − | 16.7683i | 0.381354 | − | 0.549856i | ||||
\(931\) | 8.13105 | − | 8.44114i | 0.266484 | − | 0.276647i | ||||
\(932\) | 7.44780i | 0.243961i | ||||||||
\(933\) | −9.44837 | + | 30.6309i | −0.309326 | + | 1.00281i | ||||
\(934\) | −6.95668 | + | 17.7253i | −0.227630 | + | 0.579991i | ||||
\(935\) | −0.157695 | − | 0.411434i | −0.00515719 | − | 0.0134553i | ||||
\(936\) | 4.31299 | − | 0.650078i | 0.140974 | − | 0.0212485i | ||||
\(937\) | 14.3232 | + | 11.4223i | 0.467917 | + | 0.373152i | 0.828878 | − | 0.559430i | \(-0.188980\pi\) |
−0.360961 | + | 0.932581i | \(0.617551\pi\) | |||||||
\(938\) | −0.585423 | − | 5.67169i | −0.0191148 | − | 0.185187i | ||||
\(939\) | 24.7472 | + | 31.0320i | 0.807594 | + | 1.01269i | ||||
\(940\) | 0.808435 | + | 3.67713i | 0.0263682 | + | 0.119935i | ||||
\(941\) | −23.8075 | − | 3.58840i | −0.776102 | − | 0.116979i | −0.250965 | − | 0.967996i | \(-0.580748\pi\) |
−0.525137 | + | 0.851018i | \(0.675986\pi\) | |||||||
\(942\) | −9.07372 | − | 9.77914i | −0.295638 | − | 0.318622i | ||||
\(943\) | 5.90374 | + | 8.65919i | 0.192252 | + | 0.281982i | ||||
\(944\) | −1.52958 | − | 6.70153i | −0.0497836 | − | 0.218116i | ||||
\(945\) | 31.7747 | + | 4.13904i | 1.03363 | + | 0.134643i | ||||
\(946\) | 0.390201 | − | 1.70958i | 0.0126865 | − | 0.0555834i | ||||
\(947\) | −13.9137 | + | 5.46072i | −0.452134 | + | 0.177450i | −0.580471 | − | 0.814281i | \(-0.697131\pi\) |
0.128336 | + | 0.991731i | \(0.459036\pi\) | |||||||
\(948\) | −0.626952 | + | 0.0469835i | −0.0203624 | + | 0.00152595i | ||||
\(949\) | −16.3401 | − | 28.3019i | −0.530422 | − | 0.918718i | ||||
\(950\) | −2.07482 | + | 12.4163i | −0.0673159 | + | 0.402838i | ||||
\(951\) | −19.5785 | − | 9.42852i | −0.634877 | − | 0.305741i | ||||
\(952\) | −4.72384 | + | 3.41863i | −0.153101 | + | 0.110798i | ||||
\(953\) | 17.3955 | + | 36.1222i | 0.563496 | + | 1.17011i | 0.966915 | + | 0.255097i | \(0.0821074\pi\) |
−0.403419 | + | 0.915015i | \(0.632178\pi\) | |||||||
\(954\) | 0.336047 | − | 4.48423i | 0.0108799 | − | 0.145182i | ||||
\(955\) | −9.32022 | + | 29.3802i | −0.301595 | + | 0.950720i | ||||
\(956\) | 2.28271 | − | 0.704123i | 0.0738282 | − | 0.0227730i | ||||
\(957\) | 3.15996 | + | 0.236806i | 0.102147 | + | 0.00765486i | ||||
\(958\) | −5.58856 | − | 11.6048i | −0.180558 | − | 0.374933i | ||||
\(959\) | 8.50106 | − | 30.5803i | 0.274513 | − | 0.987491i | ||||
\(960\) | 12.1609 | + | 21.4573i | 0.392491 | + | 0.692530i | ||||
\(961\) | 8.70301 | − | 15.0741i | 0.280742 | − | 0.486260i | ||||
\(962\) | −86.1607 | + | 49.7449i | −2.77793 | + | 1.60384i | ||||
\(963\) | 2.64875 | − | 0.198496i | 0.0853546 | − | 0.00639645i | ||||
\(964\) | −1.92398 | − | 4.90221i | −0.0619671 | − | 0.157890i | ||||
\(965\) | −23.9092 | + | 21.8317i | −0.769663 | + | 0.702787i | ||||
\(966\) | −12.0254 | + | 10.1546i | −0.386910 | + | 0.326719i | ||||
\(967\) | 1.98774 | − | 0.453689i | 0.0639215 | − | 0.0145897i | −0.190441 | − | 0.981699i | \(-0.560992\pi\) |
0.254362 | + | 0.967109i | \(0.418135\pi\) | |||||||
\(968\) | 16.1220 | + | 23.6467i | 0.518182 | + | 0.760033i | ||||
\(969\) | 1.70293 | − | 1.58009i | 0.0547059 | − | 0.0507597i | ||||
\(970\) | −11.8010 | + | 12.5165i | −0.378908 | + | 0.401879i | ||||
\(971\) | 18.3763 | + | 17.0507i | 0.589723 | + | 0.547183i | 0.917583 | − | 0.397543i | \(-0.130137\pi\) |
−0.327860 | + | 0.944726i | \(0.606328\pi\) | |||||||
\(972\) | −0.613829 | + | 0.489512i | −0.0196886 | + | 0.0157011i | ||||
\(973\) | −22.0330 | − | 35.8038i | −0.706346 | − | 1.14782i | ||||
\(974\) | 7.12983 | − | 8.94053i | 0.228455 | − | 0.286473i | ||||
\(975\) | −22.9810 | − | 41.3146i | −0.735981 | − | 1.32313i | ||||
\(976\) | 38.6836 | + | 26.3740i | 1.23823 | + | 0.844211i | ||||
\(977\) | 2.58534 | + | 1.01467i | 0.0827123 | + | 0.0324622i | 0.406336 | − | 0.913724i | \(-0.366806\pi\) |
−0.323624 | + | 0.946186i | \(0.604901\pi\) | |||||||
\(978\) | 1.92205 | − | 6.23113i | 0.0614604 | − | 0.199250i | ||||
\(979\) | 2.00510 | 0.0640834 | ||||||||
\(980\) | −3.93599 | + | 1.10001i | −0.125730 | + | 0.0351384i | ||||
\(981\) | 1.68057 | 0.0536565 | ||||||||
\(982\) | −3.02624 | + | 9.81083i | −0.0965712 | + | 0.313076i | ||||
\(983\) | −15.2507 | − | 5.98546i | −0.486422 | − | 0.190907i | 0.109440 | − | 0.993993i | \(-0.465094\pi\) |
−0.595862 | + | 0.803087i | \(0.703189\pi\) | |||||||
\(984\) | −15.5074 | − | 10.5728i | −0.494359 | − | 0.337049i | ||||
\(985\) | 29.3076 | + | 14.4033i | 0.933818 | + | 0.458927i | ||||
\(986\) | −6.50711 | + | 8.15966i | −0.207229 | + | 0.259857i | ||||
\(987\) | −20.0438 | + | 19.6726i | −0.638001 | + | 0.626186i | ||||
\(988\) | 1.96325 | − | 1.56564i | 0.0624594 | − | 0.0498097i | ||||
\(989\) | −8.78830 | − | 8.15435i | −0.279452 | − | 0.259293i | ||||
\(990\) | −0.166092 | − | 0.156598i | −0.00527876 | − | 0.00497703i | ||||
\(991\) | 33.8862 | − | 31.4418i | 1.07643 | − | 0.998782i | 0.0764329 | − | 0.997075i | \(-0.475647\pi\) |
0.999999 | − | 0.00170767i | \(-0.000543567\pi\) | |||||||
\(992\) | 3.04883 | + | 4.47181i | 0.0968005 | + | 0.141980i | ||||
\(993\) | −33.8849 | + | 7.73400i | −1.07530 | + | 0.245431i | ||||
\(994\) | −1.11955 | − | 39.8957i | −0.0355099 | − | 1.26541i | ||||
\(995\) | 22.3976 | + | 24.5289i | 0.710051 | + | 0.777619i | ||||
\(996\) | 1.93351 | + | 4.92651i | 0.0612656 | + | 0.156102i | ||||
\(997\) | 46.2937 | − | 3.46923i | 1.46614 | − | 0.109872i | 0.682406 | − | 0.730974i | \(-0.260934\pi\) |
0.783730 | + | 0.621102i | \(0.213315\pi\) | |||||||
\(998\) | 14.1409 | − | 8.16426i | 0.447623 | − | 0.258435i | ||||
\(999\) | −31.1941 | + | 54.0297i | −0.986936 | + | 1.70942i |
(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 | 245.2.t.a.149.19 | yes | 312 | |
5.4 | even | 2 | inner | 245.2.t.a.149.8 | yes | 312 | |
49.25 | even | 21 | inner | 245.2.t.a.74.8 | ✓ | 312 | |
245.74 | even | 42 | inner | 245.2.t.a.74.19 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.t.a.74.8 | ✓ | 312 | 49.25 | even | 21 | inner | |
245.2.t.a.74.19 | yes | 312 | 245.74 | even | 42 | inner | |
245.2.t.a.149.8 | yes | 312 | 5.4 | even | 2 | inner | |
245.2.t.a.149.19 | yes | 312 | 1.1 | even | 1 | trivial |