Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 211.3 | ||
Character | \(\chi\) | \(=\) | 690.211 |
Dual form | 690.2.m.g.121.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | + | 0.909632i | 0.293743 | + | 0.643207i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | 0.841254 | + | 0.540641i | 0.376220 | + | 0.241782i | ||||
\(6\) | −0.654861 | − | 0.755750i | −0.267346 | − | 0.308533i | ||||
\(7\) | 0.743473 | + | 5.17097i | 0.281006 | + | 1.95444i | 0.297936 | + | 0.954586i | \(0.403702\pi\) |
−0.0169292 | + | 0.999857i | \(0.505389\pi\) | |||||||
\(8\) | −0.959493 | − | 0.281733i | −0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.142315 | + | 0.989821i | −0.0450039 | + | 0.313009i | ||||
\(11\) | 1.65538 | − | 3.62478i | 0.499117 | − | 1.09291i | −0.477639 | − | 0.878556i | \(-0.658507\pi\) |
0.976755 | − | 0.214357i | \(-0.0687656\pi\) | |||||||
\(12\) | 0.415415 | − | 0.909632i | 0.119920 | − | 0.262588i | ||||
\(13\) | −0.717955 | + | 4.99349i | −0.199125 | + | 1.38494i | 0.607706 | + | 0.794162i | \(0.292090\pi\) |
−0.806831 | + | 0.590783i | \(0.798819\pi\) | |||||||
\(14\) | −4.39483 | + | 2.82439i | −1.17457 | + | 0.754849i | ||||
\(15\) | −0.959493 | − | 0.281733i | −0.247740 | − | 0.0727430i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −1.53793 | − | 1.77487i | −0.373003 | − | 0.430468i | 0.537951 | − | 0.842976i | \(-0.319198\pi\) |
−0.910954 | + | 0.412508i | \(0.864653\pi\) | |||||||
\(18\) | 0.841254 | + | 0.540641i | 0.198285 | + | 0.127430i | ||||
\(19\) | 1.97472 | − | 2.27895i | 0.453032 | − | 0.522827i | −0.482582 | − | 0.875851i | \(-0.660301\pi\) |
0.935614 | + | 0.353024i | \(0.114847\pi\) | |||||||
\(20\) | −0.959493 | + | 0.281733i | −0.214549 | + | 0.0629973i | ||||
\(21\) | −2.17019 | − | 4.75205i | −0.473574 | − | 1.03698i | ||||
\(22\) | 3.98489 | 0.849581 | ||||||||
\(23\) | −3.56624 | + | 3.20655i | −0.743612 | + | 0.668611i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.415415 | + | 0.909632i | 0.0830830 | + | 0.181926i | ||||
\(26\) | −4.84049 | + | 1.42130i | −0.949298 | + | 0.278739i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | −4.39483 | − | 2.82439i | −0.830545 | − | 0.533759i | ||||
\(29\) | 4.46963 | + | 5.15823i | 0.829989 | + | 0.957859i | 0.999618 | − | 0.0276495i | \(-0.00880224\pi\) |
−0.169629 | + | 0.985508i | \(0.554257\pi\) | |||||||
\(30\) | −0.142315 | − | 0.989821i | −0.0259830 | − | 0.180716i | ||||
\(31\) | −7.85431 | − | 2.30623i | −1.41068 | − | 0.414212i | −0.514340 | − | 0.857587i | \(-0.671963\pi\) |
−0.896336 | + | 0.443375i | \(0.853781\pi\) | |||||||
\(32\) | 0.841254 | − | 0.540641i | 0.148714 | − | 0.0955727i | ||||
\(33\) | −0.567109 | + | 3.94433i | −0.0987210 | + | 0.686620i | ||||
\(34\) | 0.975595 | − | 2.13626i | 0.167313 | − | 0.366365i | ||||
\(35\) | −2.17019 | + | 4.75205i | −0.366829 | + | 0.803243i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | −0.311508 | + | 0.200194i | −0.0512117 | + | 0.0329117i | −0.565996 | − | 0.824408i | \(-0.691508\pi\) |
0.514784 | + | 0.857320i | \(0.327872\pi\) | |||||||
\(38\) | 2.89333 | + | 0.849559i | 0.469361 | + | 0.137817i | ||||
\(39\) | −0.717955 | − | 4.99349i | −0.114965 | − | 0.799598i | ||||
\(40\) | −0.654861 | − | 0.755750i | −0.103543 | − | 0.119494i | ||||
\(41\) | 1.62078 | + | 1.04161i | 0.253124 | + | 0.162673i | 0.661049 | − | 0.750342i | \(-0.270111\pi\) |
−0.407926 | + | 0.913015i | \(0.633748\pi\) | |||||||
\(42\) | 3.42109 | − | 3.94814i | 0.527885 | − | 0.609212i | ||||
\(43\) | −10.6622 | + | 3.13069i | −1.62596 | + | 0.477426i | −0.962612 | − | 0.270883i | \(-0.912684\pi\) |
−0.663351 | + | 0.748308i | \(0.730866\pi\) | |||||||
\(44\) | 1.65538 | + | 3.62478i | 0.249558 | + | 0.546457i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −4.39825 | − | 1.91192i | −0.648486 | − | 0.281897i | ||||
\(47\) | 4.92653 | 0.718608 | 0.359304 | − | 0.933221i | \(-0.383014\pi\) | ||||
0.359304 | + | 0.933221i | \(0.383014\pi\) | |||||||
\(48\) | 0.415415 | + | 0.909632i | 0.0599600 | + | 0.131294i | ||||
\(49\) | −19.4697 | + | 5.71683i | −2.78139 | + | 0.816689i | ||||
\(50\) | −0.654861 | + | 0.755750i | −0.0926113 | + | 0.106879i | ||||
\(51\) | 1.97567 | + | 1.26969i | 0.276649 | + | 0.177792i | ||||
\(52\) | −3.30367 | − | 3.81263i | −0.458136 | − | 0.528717i | ||||
\(53\) | −0.316357 | − | 2.20031i | −0.0434550 | − | 0.302236i | −0.999945 | − | 0.0104715i | \(-0.996667\pi\) |
0.956490 | − | 0.291764i | \(-0.0942423\pi\) | |||||||
\(54\) | −0.959493 | − | 0.281733i | −0.130570 | − | 0.0383389i | ||||
\(55\) | 3.35230 | − | 2.15439i | 0.452024 | − | 0.290498i | ||||
\(56\) | 0.743473 | − | 5.17097i | 0.0993508 | − | 0.691000i | ||||
\(57\) | −1.25268 | + | 2.74298i | −0.165921 | + | 0.363316i | ||||
\(58\) | −2.83534 | + | 6.20852i | −0.372298 | + | 0.815219i | ||||
\(59\) | 0.310817 | − | 2.16178i | 0.0404650 | − | 0.281440i | −0.959535 | − | 0.281589i | \(-0.909138\pi\) |
1.00000 | 0.000149215i | \(4.74966e-5\pi\) | ||||||||
\(60\) | 0.841254 | − | 0.540641i | 0.108605 | − | 0.0697964i | ||||
\(61\) | 12.6607 | + | 3.71752i | 1.62104 | + | 0.475980i | 0.961297 | − | 0.275514i | \(-0.0888481\pi\) |
0.659740 | + | 0.751494i | \(0.270666\pi\) | |||||||
\(62\) | −1.16497 | − | 8.10258i | −0.147952 | − | 1.02903i | ||||
\(63\) | 3.42109 | + | 3.94814i | 0.431016 | + | 0.497419i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | −3.30367 | + | 3.81263i | −0.409769 | + | 0.472899i | ||||
\(66\) | −3.82347 | + | 1.12267i | −0.470637 | + | 0.138192i | ||||
\(67\) | −0.852560 | − | 1.86685i | −0.104157 | − | 0.228071i | 0.850377 | − | 0.526173i | \(-0.176374\pi\) |
−0.954534 | + | 0.298102i | \(0.903646\pi\) | |||||||
\(68\) | 2.34848 | 0.284795 | ||||||||
\(69\) | 2.51839 | − | 4.08138i | 0.303179 | − | 0.491341i | ||||
\(70\) | −5.22414 | −0.624405 | ||||||||
\(71\) | 3.15425 | + | 6.90685i | 0.374341 | + | 0.819692i | 0.999240 | + | 0.0389866i | \(0.0124130\pi\) |
−0.624899 | + | 0.780706i | \(0.714860\pi\) | |||||||
\(72\) | −0.959493 | + | 0.281733i | −0.113077 | + | 0.0332025i | ||||
\(73\) | 9.98981 | − | 11.5289i | 1.16922 | − | 1.34935i | 0.244065 | − | 0.969759i | \(-0.421519\pi\) |
0.925154 | − | 0.379592i | \(-0.123936\pi\) | |||||||
\(74\) | −0.311508 | − | 0.200194i | −0.0362121 | − | 0.0232721i | ||||
\(75\) | −0.654861 | − | 0.755750i | −0.0756168 | − | 0.0872664i | ||||
\(76\) | 0.429148 | + | 2.98479i | 0.0492266 | + | 0.342379i | ||||
\(77\) | 19.9744 | + | 5.86501i | 2.27629 | + | 0.668380i | ||||
\(78\) | 4.24399 | − | 2.72745i | 0.480537 | − | 0.308822i | ||||
\(79\) | 0.615851 | − | 4.28334i | 0.0692887 | − | 0.481913i | −0.925401 | − | 0.378990i | \(-0.876271\pi\) |
0.994689 | − | 0.102923i | \(-0.0328196\pi\) | |||||||
\(80\) | 0.415415 | − | 0.909632i | 0.0464448 | − | 0.101700i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −0.274188 | + | 1.90702i | −0.0302790 | + | 0.210595i | ||||
\(83\) | −7.64258 | + | 4.91159i | −0.838882 | + | 0.539117i | −0.888089 | − | 0.459672i | \(-0.847967\pi\) |
0.0492068 | + | 0.998789i | \(0.484331\pi\) | |||||||
\(84\) | 5.01253 | + | 1.47181i | 0.546912 | + | 0.160588i | ||||
\(85\) | −0.334224 | − | 2.32458i | −0.0362517 | − | 0.252136i | ||||
\(86\) | −7.27700 | − | 8.39810i | −0.784699 | − | 0.905591i | ||||
\(87\) | −5.74182 | − | 3.69004i | −0.615587 | − | 0.395614i | ||||
\(88\) | −2.60955 | + | 3.01158i | −0.278179 | + | 0.321035i | ||||
\(89\) | 3.93784 | − | 1.15625i | 0.417410 | − | 0.122563i | −0.0662817 | − | 0.997801i | \(-0.521114\pi\) |
0.483692 | + | 0.875238i | \(0.339295\pi\) | |||||||
\(90\) | 0.415415 | + | 0.909632i | 0.0437886 | + | 0.0958836i | ||||
\(91\) | −26.3550 | −2.76275 | ||||||||
\(92\) | −0.0879548 | − | 4.79502i | −0.00916992 | − | 0.499916i | ||||
\(93\) | 8.18590 | 0.848838 | ||||||||
\(94\) | 2.04655 | + | 4.48133i | 0.211086 | + | 0.462214i | ||||
\(95\) | 2.89333 | − | 0.849559i | 0.296850 | − | 0.0871629i | ||||
\(96\) | −0.654861 | + | 0.755750i | −0.0668364 | + | 0.0771334i | ||||
\(97\) | 6.57851 | + | 4.22775i | 0.667947 | + | 0.429263i | 0.830185 | − | 0.557488i | \(-0.188235\pi\) |
−0.162238 | + | 0.986752i | \(0.551871\pi\) | |||||||
\(98\) | −13.2882 | − | 15.3354i | −1.34231 | − | 1.54911i | ||||
\(99\) | −0.567109 | − | 3.94433i | −0.0569966 | − | 0.396420i | ||||
\(100\) | −0.959493 | − | 0.281733i | −0.0959493 | − | 0.0281733i | ||||
\(101\) | 6.56202 | − | 4.21715i | 0.652945 | − | 0.419622i | −0.171796 | − | 0.985133i | \(-0.554957\pi\) |
0.824741 | + | 0.565510i | \(0.191321\pi\) | |||||||
\(102\) | −0.334224 | + | 2.32458i | −0.0330931 | + | 0.230168i | ||||
\(103\) | 4.74954 | − | 10.4000i | 0.467986 | − | 1.02475i | −0.517608 | − | 0.855618i | \(-0.673177\pi\) |
0.985594 | − | 0.169129i | \(-0.0540954\pi\) | |||||||
\(104\) | 2.09570 | − | 4.58895i | 0.205500 | − | 0.449983i | ||||
\(105\) | 0.743473 | − | 5.17097i | 0.0725555 | − | 0.504635i | ||||
\(106\) | 1.87005 | − | 1.20181i | 0.181636 | − | 0.116730i | ||||
\(107\) | 3.30926 | + | 0.971687i | 0.319918 | + | 0.0939365i | 0.437749 | − | 0.899097i | \(-0.355776\pi\) |
−0.117831 | + | 0.993034i | \(0.537594\pi\) | |||||||
\(108\) | −0.142315 | − | 0.989821i | −0.0136943 | − | 0.0952456i | ||||
\(109\) | 10.6664 | + | 12.3097i | 1.02165 | + | 1.17905i | 0.983708 | + | 0.179771i | \(0.0575357\pi\) |
0.0379449 | + | 0.999280i | \(0.487919\pi\) | |||||||
\(110\) | 3.35230 | + | 2.15439i | 0.319630 | + | 0.205413i | ||||
\(111\) | 0.242489 | − | 0.279847i | 0.0230160 | − | 0.0265619i | ||||
\(112\) | 5.01253 | − | 1.47181i | 0.473639 | − | 0.139073i | ||||
\(113\) | −6.12379 | − | 13.4092i | −0.576077 | − | 1.26143i | −0.943498 | − | 0.331379i | \(-0.892486\pi\) |
0.367420 | − | 0.930055i | \(-0.380241\pi\) | |||||||
\(114\) | −3.01548 | −0.282426 | ||||||||
\(115\) | −4.73370 | + | 0.769463i | −0.441420 | + | 0.0717528i | ||||
\(116\) | −6.82531 | −0.633714 | ||||||||
\(117\) | 2.09570 | + | 4.58895i | 0.193748 | + | 0.424248i | ||||
\(118\) | 2.09555 | − | 0.615308i | 0.192911 | − | 0.0566437i | ||||
\(119\) | 8.03436 | − | 9.27215i | 0.736509 | − | 0.849977i | ||||
\(120\) | 0.841254 | + | 0.540641i | 0.0767956 | + | 0.0493535i | ||||
\(121\) | −3.19530 | − | 3.68757i | −0.290481 | − | 0.335233i | ||||
\(122\) | 1.87787 | + | 13.0609i | 0.170015 | + | 1.18248i | ||||
\(123\) | −1.84859 | − | 0.542794i | −0.166681 | − | 0.0489421i | ||||
\(124\) | 6.88641 | − | 4.42563i | 0.618418 | − | 0.397433i | ||||
\(125\) | −0.142315 | + | 0.989821i | −0.0127290 | + | 0.0885323i | ||||
\(126\) | −2.17019 | + | 4.75205i | −0.193336 | + | 0.423346i | ||||
\(127\) | −1.08832 | + | 2.38309i | −0.0965727 | + | 0.211465i | −0.951752 | − | 0.306867i | \(-0.900719\pi\) |
0.855180 | + | 0.518332i | \(0.173447\pi\) | |||||||
\(128\) | −0.142315 | + | 0.989821i | −0.0125790 | + | 0.0874887i | ||||
\(129\) | 9.34824 | − | 6.00775i | 0.823067 | − | 0.528953i | ||||
\(130\) | −4.84049 | − | 1.42130i | −0.424539 | − | 0.124656i | ||||
\(131\) | 0.681088 | + | 4.73707i | 0.0595069 | + | 0.413880i | 0.997701 | + | 0.0677700i | \(0.0215884\pi\) |
−0.938194 | + | 0.346110i | \(0.887503\pi\) | |||||||
\(132\) | −2.60955 | − | 3.01158i | −0.227132 | − | 0.262124i | ||||
\(133\) | 13.2525 | + | 8.51688i | 1.14914 | + | 0.738507i | ||||
\(134\) | 1.34398 | − | 1.55103i | 0.116102 | − | 0.133989i | ||||
\(135\) | −0.959493 | + | 0.281733i | −0.0825800 | + | 0.0242477i | ||||
\(136\) | 0.975595 | + | 2.13626i | 0.0836566 | + | 0.183182i | ||||
\(137\) | 20.3355 | 1.73737 | 0.868687 | − | 0.495361i | \(-0.164964\pi\) | ||||
0.868687 | + | 0.495361i | \(0.164964\pi\) | |||||||
\(138\) | 4.75874 | + | 0.595344i | 0.405090 | + | 0.0506790i | ||||
\(139\) | 12.9242 | 1.09622 | 0.548108 | − | 0.836407i | \(-0.315348\pi\) | ||||
0.548108 | + | 0.836407i | \(0.315348\pi\) | |||||||
\(140\) | −2.17019 | − | 4.75205i | −0.183414 | − | 0.401621i | ||||
\(141\) | −4.72697 | + | 1.38796i | −0.398083 | + | 0.116888i | ||||
\(142\) | −4.97237 | + | 5.73842i | −0.417272 | + | 0.481557i | ||||
\(143\) | 16.9118 | + | 10.8686i | 1.41424 | + | 0.908876i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | 0.971343 | + | 6.75584i | 0.0806657 | + | 0.561042i | ||||
\(146\) | 14.6369 | + | 4.29779i | 1.21136 | + | 0.355688i | ||||
\(147\) | 17.0704 | − | 10.9705i | 1.40795 | − | 0.904832i | ||||
\(148\) | 0.0526979 | − | 0.366522i | 0.00433174 | − | 0.0301279i | ||||
\(149\) | 0.341269 | − | 0.747275i | 0.0279578 | − | 0.0612191i | −0.895138 | − | 0.445789i | \(-0.852923\pi\) |
0.923096 | + | 0.384570i | \(0.125650\pi\) | |||||||
\(150\) | 0.415415 | − | 0.909632i | 0.0339185 | − | 0.0742711i | ||||
\(151\) | −1.75744 | + | 12.2233i | −0.143018 | + | 0.994714i | 0.784284 | + | 0.620402i | \(0.213030\pi\) |
−0.927303 | + | 0.374313i | \(0.877879\pi\) | |||||||
\(152\) | −2.53678 | + | 1.63029i | −0.205760 | + | 0.132234i | ||||
\(153\) | −2.25335 | − | 0.661644i | −0.182173 | − | 0.0534908i | ||||
\(154\) | 2.96266 | + | 20.6057i | 0.238738 | + | 1.66046i | ||||
\(155\) | −5.36062 | − | 6.18649i | −0.430576 | − | 0.496911i | ||||
\(156\) | 4.24399 | + | 2.72745i | 0.339791 | + | 0.218370i | ||||
\(157\) | −6.51924 | + | 7.52360i | −0.520292 | + | 0.600449i | −0.953704 | − | 0.300747i | \(-0.902764\pi\) |
0.433412 | + | 0.901196i | \(0.357309\pi\) | |||||||
\(158\) | 4.15210 | − | 1.21917i | 0.330323 | − | 0.0969916i | ||||
\(159\) | 0.923441 | + | 2.02205i | 0.0732337 | + | 0.160359i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −19.2324 | − | 16.0569i | −1.51572 | − | 1.26546i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 2.48216 | + | 5.43516i | 0.194417 | + | 0.425715i | 0.981585 | − | 0.191024i | \(-0.0611808\pi\) |
−0.787168 | + | 0.616739i | \(0.788454\pi\) | |||||||
\(164\) | −1.84859 | + | 0.542794i | −0.144350 | + | 0.0423851i | ||||
\(165\) | −2.60955 | + | 3.01158i | −0.203153 | + | 0.234451i | ||||
\(166\) | −7.64258 | − | 4.91159i | −0.593179 | − | 0.381213i | ||||
\(167\) | 13.1985 | + | 15.2319i | 1.02133 | + | 1.17868i | 0.983779 | + | 0.179387i | \(0.0574116\pi\) |
0.0375552 | + | 0.999295i | \(0.488043\pi\) | |||||||
\(168\) | 0.743473 | + | 5.17097i | 0.0573602 | + | 0.398949i | ||||
\(169\) | −11.9461 | − | 3.50768i | −0.918928 | − | 0.269822i | ||||
\(170\) | 1.97567 | − | 1.26969i | 0.151527 | − | 0.0973805i | ||||
\(171\) | 0.429148 | − | 2.98479i | 0.0328177 | − | 0.228252i | ||||
\(172\) | 4.61621 | − | 10.1081i | 0.351983 | − | 0.770734i | ||||
\(173\) | 7.50220 | − | 16.4275i | 0.570382 | − | 1.24896i | −0.376212 | − | 0.926533i | \(-0.622774\pi\) |
0.946594 | − | 0.322428i | \(-0.104499\pi\) | |||||||
\(174\) | 0.971343 | − | 6.75584i | 0.0736373 | − | 0.512159i | ||||
\(175\) | −4.39483 | + | 2.82439i | −0.332218 | + | 0.213503i | ||||
\(176\) | −3.82347 | − | 1.12267i | −0.288205 | − | 0.0846247i | ||||
\(177\) | 0.310817 | + | 2.16178i | 0.0233625 | + | 0.162490i | ||||
\(178\) | 2.68761 | + | 3.10166i | 0.201445 | + | 0.232479i | ||||
\(179\) | 0.999595 | + | 0.642401i | 0.0747133 | + | 0.0480153i | 0.577464 | − | 0.816416i | \(-0.304042\pi\) |
−0.502751 | + | 0.864431i | \(0.667679\pi\) | |||||||
\(180\) | −0.654861 | + | 0.755750i | −0.0488104 | + | 0.0563302i | ||||
\(181\) | −11.6144 | + | 3.41030i | −0.863293 | + | 0.253486i | −0.683260 | − | 0.730175i | \(-0.739438\pi\) |
−0.180032 | + | 0.983661i | \(0.557620\pi\) | |||||||
\(182\) | −10.9482 | − | 23.9733i | −0.811538 | − | 1.77702i | ||||
\(183\) | −13.1952 | −0.975418 | ||||||||
\(184\) | 4.32517 | − | 2.07193i | 0.318856 | − | 0.152745i | ||||
\(185\) | −0.370291 | −0.0272243 | ||||||||
\(186\) | 3.40054 | + | 7.44615i | 0.249340 | + | 0.545978i | ||||
\(187\) | −8.97937 | + | 2.63658i | −0.656636 | + | 0.192806i | ||||
\(188\) | −3.22619 | + | 3.72322i | −0.235294 | + | 0.271544i | ||||
\(189\) | −4.39483 | − | 2.82439i | −0.319677 | − | 0.205444i | ||||
\(190\) | 1.97472 | + | 2.27895i | 0.143261 | + | 0.165332i | ||||
\(191\) | −2.08139 | − | 14.4764i | −0.150604 | − | 1.04748i | −0.915210 | − | 0.402978i | \(-0.867975\pi\) |
0.764605 | − | 0.644499i | \(-0.222934\pi\) | |||||||
\(192\) | −0.959493 | − | 0.281733i | −0.0692454 | − | 0.0203323i | ||||
\(193\) | 10.3420 | − | 6.64638i | 0.744431 | − | 0.478417i | −0.112627 | − | 0.993637i | \(-0.535926\pi\) |
0.857058 | + | 0.515221i | \(0.172290\pi\) | |||||||
\(194\) | −1.11289 | + | 7.74030i | −0.0799006 | + | 0.555721i | ||||
\(195\) | 2.09570 | − | 4.58895i | 0.150076 | − | 0.328621i | ||||
\(196\) | 8.42947 | − | 18.4580i | 0.602105 | − | 1.31843i | ||||
\(197\) | −2.87809 | + | 20.0175i | −0.205055 | + | 1.42619i | 0.583943 | + | 0.811795i | \(0.301509\pi\) |
−0.788998 | + | 0.614395i | \(0.789400\pi\) | |||||||
\(198\) | 3.35230 | − | 2.15439i | 0.238238 | − | 0.153106i | ||||
\(199\) | −21.2313 | − | 6.23408i | −1.50505 | − | 0.441922i | −0.577741 | − | 0.816220i | \(-0.696066\pi\) |
−0.927308 | + | 0.374298i | \(0.877884\pi\) | |||||||
\(200\) | −0.142315 | − | 0.989821i | −0.0100632 | − | 0.0699909i | ||||
\(201\) | 1.34398 | + | 1.55103i | 0.0947968 | + | 0.109401i | ||||
\(202\) | 6.56202 | + | 4.21715i | 0.461702 | + | 0.296718i | ||||
\(203\) | −23.3500 | + | 26.9473i | −1.63885 | + | 1.89133i | ||||
\(204\) | −2.25335 | + | 0.661644i | −0.157766 | + | 0.0463244i | ||||
\(205\) | 0.800350 | + | 1.75252i | 0.0558989 | + | 0.122401i | ||||
\(206\) | 11.4332 | 0.796592 | ||||||||
\(207\) | −1.26652 | + | 4.62557i | −0.0880294 | + | 0.321500i | ||||
\(208\) | 5.04484 | 0.349797 | ||||||||
\(209\) | −4.99178 | − | 10.9305i | −0.345288 | − | 0.756076i | ||||
\(210\) | 5.01253 | − | 1.47181i | 0.345897 | − | 0.101565i | ||||
\(211\) | −3.88368 | + | 4.48201i | −0.267364 | + | 0.308554i | −0.873517 | − | 0.486794i | \(-0.838166\pi\) |
0.606153 | + | 0.795348i | \(0.292712\pi\) | |||||||
\(212\) | 1.87005 | + | 1.20181i | 0.128436 | + | 0.0825407i | ||||
\(213\) | −4.97237 | − | 5.73842i | −0.340701 | − | 0.393190i | ||||
\(214\) | 0.490840 | + | 3.41386i | 0.0335531 | + | 0.233367i | ||||
\(215\) | −10.6622 | − | 3.13069i | −0.727153 | − | 0.213511i | ||||
\(216\) | 0.841254 | − | 0.540641i | 0.0572401 | − | 0.0367859i | ||||
\(217\) | 6.08599 | − | 42.3290i | 0.413144 | − | 2.87348i | ||||
\(218\) | −6.76628 | + | 14.8161i | −0.458270 | + | 1.00347i | ||||
\(219\) | −6.33710 | + | 13.8763i | −0.428221 | + | 0.937674i | ||||
\(220\) | −0.567109 | + | 3.94433i | −0.0382345 | + | 0.265927i | ||||
\(221\) | 9.96693 | − | 6.40536i | 0.670449 | − | 0.430871i | ||||
\(222\) | 0.355291 | + | 0.104323i | 0.0238456 | + | 0.00700170i | ||||
\(223\) | 0.456862 | + | 3.17755i | 0.0305938 | + | 0.212784i | 0.999384 | − | 0.0350982i | \(-0.0111744\pi\) |
−0.968790 | + | 0.247883i | \(0.920265\pi\) | |||||||
\(224\) | 3.42109 | + | 3.94814i | 0.228581 | + | 0.263796i | ||||
\(225\) | 0.841254 | + | 0.540641i | 0.0560836 | + | 0.0360427i | ||||
\(226\) | 9.65355 | − | 11.1408i | 0.642144 | − | 0.741074i | ||||
\(227\) | 18.0178 | − | 5.29051i | 1.19588 | − | 0.351143i | 0.377607 | − | 0.925966i | \(-0.376747\pi\) |
0.818278 | + | 0.574823i | \(0.194929\pi\) | |||||||
\(228\) | −1.25268 | − | 2.74298i | −0.0829605 | − | 0.181658i | ||||
\(229\) | 19.7756 | 1.30681 | 0.653403 | − | 0.757010i | \(-0.273341\pi\) | ||||
0.653403 | + | 0.757010i | \(0.273341\pi\) | |||||||
\(230\) | −2.66638 | − | 3.98628i | −0.175816 | − | 0.262848i | ||||
\(231\) | −20.8176 | −1.36970 | ||||||||
\(232\) | −2.83534 | − | 6.20852i | −0.186149 | − | 0.407609i | ||||
\(233\) | −17.8773 | + | 5.24924i | −1.17118 | + | 0.343889i | −0.808767 | − | 0.588129i | \(-0.799865\pi\) |
−0.362412 | + | 0.932018i | \(0.618047\pi\) | |||||||
\(234\) | −3.30367 | + | 3.81263i | −0.215967 | + | 0.249240i | ||||
\(235\) | 4.14446 | + | 2.66348i | 0.270355 | + | 0.173746i | ||||
\(236\) | 1.43022 | + | 1.65057i | 0.0930997 | + | 0.107443i | ||||
\(237\) | 0.615851 | + | 4.28334i | 0.0400038 | + | 0.278233i | ||||
\(238\) | 11.7718 | + | 3.45652i | 0.763055 | + | 0.224053i | ||||
\(239\) | 14.0980 | − | 9.06023i | 0.911923 | − | 0.586058i | 0.00161968 | − | 0.999999i | \(-0.499484\pi\) |
0.910304 | + | 0.413941i | \(0.135848\pi\) | |||||||
\(240\) | −0.142315 | + | 0.989821i | −0.00918638 | + | 0.0638927i | ||||
\(241\) | −6.54823 | + | 14.3386i | −0.421808 | + | 0.923632i | 0.572777 | + | 0.819711i | \(0.305866\pi\) |
−0.994586 | + | 0.103921i | \(0.966861\pi\) | |||||||
\(242\) | 2.02696 | − | 4.43841i | 0.130298 | − | 0.285312i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | −11.1005 | + | 7.13387i | −0.710638 | + | 0.456699i | ||||
\(245\) | −19.4697 | − | 5.71683i | −1.24387 | − | 0.365235i | ||||
\(246\) | −0.274188 | − | 1.90702i | −0.0174816 | − | 0.121587i | ||||
\(247\) | 9.96214 | + | 11.4969i | 0.633876 | + | 0.731532i | ||||
\(248\) | 6.88641 | + | 4.42563i | 0.437288 | + | 0.281028i | ||||
\(249\) | 5.94925 | − | 6.86580i | 0.377018 | − | 0.435102i | ||||
\(250\) | −0.959493 | + | 0.281733i | −0.0606837 | + | 0.0178183i | ||||
\(251\) | 1.57738 | + | 3.45399i | 0.0995636 | + | 0.218014i | 0.952859 | − | 0.303414i | \(-0.0981267\pi\) |
−0.853295 | + | 0.521428i | \(0.825399\pi\) | |||||||
\(252\) | −5.22414 | −0.329090 | ||||||||
\(253\) | 5.71954 | + | 18.2349i | 0.359584 | + | 1.14642i | ||||
\(254\) | −2.61984 | −0.164383 | ||||||||
\(255\) | 0.975595 | + | 2.13626i | 0.0610941 | + | 0.133778i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | 7.27999 | − | 8.40156i | 0.454113 | − | 0.524075i | −0.481811 | − | 0.876275i | \(-0.660021\pi\) |
0.935925 | + | 0.352200i | \(0.114566\pi\) | |||||||
\(258\) | 9.34824 | + | 6.00775i | 0.581996 | + | 0.374026i | ||||
\(259\) | −1.26680 | − | 1.46196i | −0.0787149 | − | 0.0908419i | ||||
\(260\) | −0.717955 | − | 4.99349i | −0.0445257 | − | 0.309683i | ||||
\(261\) | 6.54884 | + | 1.92291i | 0.405363 | + | 0.119025i | ||||
\(262\) | −4.02606 | + | 2.58739i | −0.248731 | + | 0.159849i | ||||
\(263\) | −1.51364 | + | 10.5276i | −0.0933350 | + | 0.649160i | 0.888423 | + | 0.459025i | \(0.151801\pi\) |
−0.981758 | + | 0.190134i | \(0.939108\pi\) | |||||||
\(264\) | 1.65538 | − | 3.62478i | 0.101882 | − | 0.223090i | ||||
\(265\) | 0.923441 | − | 2.02205i | 0.0567265 | − | 0.124214i | ||||
\(266\) | −2.24193 | + | 15.5930i | −0.137461 | + | 0.956066i | ||||
\(267\) | −3.45258 | + | 2.21884i | −0.211294 | + | 0.135791i | ||||
\(268\) | 1.96918 | + | 0.578202i | 0.120287 | + | 0.0353193i | ||||
\(269\) | −3.59607 | − | 25.0112i | −0.219256 | − | 1.52496i | −0.740794 | − | 0.671732i | \(-0.765551\pi\) |
0.521538 | − | 0.853228i | \(-0.325358\pi\) | |||||||
\(270\) | −0.654861 | − | 0.755750i | −0.0398536 | − | 0.0459935i | ||||
\(271\) | −7.38832 | − | 4.74818i | −0.448808 | − | 0.288432i | 0.296647 | − | 0.954987i | \(-0.404132\pi\) |
−0.745455 | + | 0.666556i | \(0.767768\pi\) | |||||||
\(272\) | −1.53793 | + | 1.77487i | −0.0932507 | + | 0.107617i | ||||
\(273\) | 25.2874 | − | 7.42505i | 1.53046 | − | 0.449384i | ||||
\(274\) | 8.44765 | + | 18.4978i | 0.510341 | + | 1.11749i | ||||
\(275\) | 3.98489 | 0.240298 | ||||||||
\(276\) | 1.43531 | + | 4.57601i | 0.0863953 | + | 0.275444i | ||||
\(277\) | −22.8747 | −1.37441 | −0.687203 | − | 0.726465i | \(-0.741162\pi\) | ||||
−0.687203 | + | 0.726465i | \(0.741162\pi\) | |||||||
\(278\) | 5.36891 | + | 11.7563i | 0.322006 | + | 0.705094i | ||||
\(279\) | −7.85431 | + | 2.30623i | −0.470225 | + | 0.138071i | ||||
\(280\) | 3.42109 | − | 3.94814i | 0.204449 | − | 0.235947i | ||||
\(281\) | 14.4470 | + | 9.28454i | 0.861837 | + | 0.553869i | 0.895246 | − | 0.445573i | \(-0.147000\pi\) |
−0.0334087 | + | 0.999442i | \(0.510636\pi\) | |||||||
\(282\) | −3.22619 | − | 3.72322i | −0.192117 | − | 0.221715i | ||||
\(283\) | −0.922750 | − | 6.41786i | −0.0548518 | − | 0.381502i | −0.998693 | − | 0.0511040i | \(-0.983726\pi\) |
0.943842 | − | 0.330398i | \(-0.107183\pi\) | |||||||
\(284\) | −7.28545 | − | 2.13920i | −0.432312 | − | 0.126938i | ||||
\(285\) | −2.53678 | + | 1.63029i | −0.150266 | + | 0.0965702i | ||||
\(286\) | −2.86097 | + | 19.8985i | −0.169173 | + | 1.17662i | ||||
\(287\) | −4.18114 | + | 9.15543i | −0.246805 | + | 0.540428i | ||||
\(288\) | 0.415415 | − | 0.909632i | 0.0244786 | − | 0.0536006i | ||||
\(289\) | 1.63443 | − | 11.3677i | 0.0961431 | − | 0.668690i | ||||
\(290\) | −5.74182 | + | 3.69004i | −0.337171 | + | 0.216687i | ||||
\(291\) | −7.50313 | − | 2.20312i | −0.439842 | − | 0.129149i | ||||
\(292\) | 2.17099 | + | 15.0996i | 0.127048 | + | 0.883637i | ||||
\(293\) | −3.01541 | − | 3.47997i | −0.176162 | − | 0.203302i | 0.660801 | − | 0.750561i | \(-0.270217\pi\) |
−0.836963 | + | 0.547259i | \(0.815671\pi\) | |||||||
\(294\) | 17.0704 | + | 10.9705i | 0.995568 | + | 0.639813i | ||||
\(295\) | 1.43022 | − | 1.65057i | 0.0832709 | − | 0.0960997i | ||||
\(296\) | 0.355291 | − | 0.104323i | 0.0206509 | − | 0.00606365i | ||||
\(297\) | 1.65538 | + | 3.62478i | 0.0960551 | + | 0.210331i | ||||
\(298\) | 0.821513 | 0.0475890 | ||||||||
\(299\) | −13.4514 | − | 20.1101i | −0.777917 | − | 1.16300i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −24.1157 | − | 52.8061i | −1.39001 | − | 3.04369i | ||||
\(302\) | −11.8487 | + | 3.47910i | −0.681818 | + | 0.200200i | ||||
\(303\) | −5.10810 | + | 5.89506i | −0.293453 | + | 0.338663i | ||||
\(304\) | −2.53678 | − | 1.63029i | −0.145495 | − | 0.0935037i | ||||
\(305\) | 8.64102 | + | 9.97227i | 0.494783 | + | 0.571011i | ||||
\(306\) | −0.334224 | − | 2.32458i | −0.0191063 | − | 0.132887i | ||||
\(307\) | −6.05704 | − | 1.77851i | −0.345693 | − | 0.101505i | 0.104277 | − | 0.994548i | \(-0.466747\pi\) |
−0.449970 | + | 0.893044i | \(0.648565\pi\) | |||||||
\(308\) | −17.5129 | + | 11.2549i | −0.997891 | + | 0.641305i | ||||
\(309\) | −1.62712 | + | 11.3169i | −0.0925637 | + | 0.643794i | ||||
\(310\) | 3.40054 | − | 7.44615i | 0.193138 | − | 0.422913i | ||||
\(311\) | 4.02332 | − | 8.80983i | 0.228141 | − | 0.499560i | −0.760595 | − | 0.649226i | \(-0.775093\pi\) |
0.988737 | + | 0.149667i | \(0.0478200\pi\) | |||||||
\(312\) | −0.717955 | + | 4.99349i | −0.0406462 | + | 0.282701i | ||||
\(313\) | 21.4214 | − | 13.7667i | 1.21081 | − | 0.778140i | 0.230016 | − | 0.973187i | \(-0.426122\pi\) |
0.980794 | + | 0.195047i | \(0.0624859\pi\) | |||||||
\(314\) | −9.55190 | − | 2.80469i | −0.539045 | − | 0.158278i | ||||
\(315\) | 0.743473 | + | 5.17097i | 0.0418900 | + | 0.291351i | ||||
\(316\) | 2.83384 | + | 3.27042i | 0.159416 | + | 0.183976i | ||||
\(317\) | −18.9242 | − | 12.1618i | −1.06289 | − | 0.683077i | −0.112346 | − | 0.993669i | \(-0.535836\pi\) |
−0.950543 | + | 0.310592i | \(0.899473\pi\) | |||||||
\(318\) | −1.45571 | + | 1.67998i | −0.0816324 | + | 0.0942088i | ||||
\(319\) | 26.0964 | − | 7.66259i | 1.46112 | − | 0.429023i | ||||
\(320\) | 0.415415 | + | 0.909632i | 0.0232224 | + | 0.0508500i | ||||
\(321\) | −3.44897 | −0.192503 | ||||||||
\(322\) | 6.61650 | − | 24.1647i | 0.368723 | − | 1.34664i | ||||
\(323\) | −7.08181 | −0.394042 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | −4.84049 | + | 1.42130i | −0.268502 | + | 0.0788393i | ||||
\(326\) | −3.91287 | + | 4.51570i | −0.216714 | + | 0.250101i | ||||
\(327\) | −13.7023 | − | 8.80596i | −0.757741 | − | 0.486971i | ||||
\(328\) | −1.26167 | − | 1.45605i | −0.0696642 | − | 0.0803968i | ||||
\(329\) | 3.66274 | + | 25.4749i | 0.201933 | + | 1.40448i | ||||
\(330\) | −3.82347 | − | 1.12267i | −0.210475 | − | 0.0618011i | ||||
\(331\) | −0.395961 | + | 0.254469i | −0.0217640 | + | 0.0139869i | −0.551478 | − | 0.834190i | \(-0.685936\pi\) |
0.529714 | + | 0.848177i | \(0.322299\pi\) | |||||||
\(332\) | 1.29289 | − | 8.99228i | 0.0709568 | − | 0.493516i | ||||
\(333\) | −0.153824 | + | 0.336828i | −0.00842952 | + | 0.0184581i | ||||
\(334\) | −8.37258 | + | 18.3334i | −0.458127 | + | 1.00316i | ||||
\(335\) | 0.292074 | − | 2.03142i | 0.0159577 | − | 0.110988i | ||||
\(336\) | −4.39483 | + | 2.82439i | −0.239758 | + | 0.154083i | ||||
\(337\) | 12.2209 | + | 3.58838i | 0.665714 | + | 0.195471i | 0.597094 | − | 0.802172i | \(-0.296322\pi\) |
0.0686204 | + | 0.997643i | \(0.478140\pi\) | |||||||
\(338\) | −1.77188 | − | 12.3237i | −0.0963773 | − | 0.670319i | ||||
\(339\) | 9.65355 | + | 11.1408i | 0.524309 | + | 0.605084i | ||||
\(340\) | 1.97567 | + | 1.26969i | 0.107146 | + | 0.0688584i | ||||
\(341\) | −21.3615 | + | 24.6525i | −1.15679 | + | 1.33501i | ||||
\(342\) | 2.89333 | − | 0.849559i | 0.156454 | − | 0.0459389i | ||||
\(343\) | −28.8454 | − | 63.1627i | −1.55751 | − | 3.41046i | ||||
\(344\) | 11.1123 | 0.599134 | ||||||||
\(345\) | 4.32517 | − | 2.07193i | 0.232859 | − | 0.111549i | ||||
\(346\) | 18.0595 | 0.970886 | ||||||||
\(347\) | −6.83353 | − | 14.9633i | −0.366843 | − | 0.803274i | −0.999582 | − | 0.0289091i | \(-0.990797\pi\) |
0.632739 | − | 0.774365i | \(-0.281931\pi\) | |||||||
\(348\) | 6.54884 | − | 1.92291i | 0.351055 | − | 0.103079i | ||||
\(349\) | −19.5775 | + | 22.5936i | −1.04796 | + | 1.20941i | −0.0706674 | + | 0.997500i | \(0.522513\pi\) |
−0.977290 | + | 0.211907i | \(0.932033\pi\) | |||||||
\(350\) | −4.39483 | − | 2.82439i | −0.234913 | − | 0.150970i | ||||
\(351\) | −3.30367 | − | 3.81263i | −0.176337 | − | 0.203503i | ||||
\(352\) | −0.567109 | − | 3.94433i | −0.0302270 | − | 0.210233i | ||||
\(353\) | −1.77382 | − | 0.520840i | −0.0944109 | − | 0.0277215i | 0.234186 | − | 0.972192i | \(-0.424758\pi\) |
−0.328597 | + | 0.944470i | \(0.606576\pi\) | |||||||
\(354\) | −1.83731 | + | 1.18077i | −0.0976519 | + | 0.0627570i | ||||
\(355\) | −1.08060 | + | 7.51573i | −0.0573522 | + | 0.398894i | ||||
\(356\) | −1.70490 | + | 3.73321i | −0.0903595 | + | 0.197860i | ||||
\(357\) | −5.09665 | + | 11.1601i | −0.269743 | + | 0.590655i | ||||
\(358\) | −0.169102 | + | 1.17613i | −0.00893729 | + | 0.0621602i | ||||
\(359\) | 20.8344 | − | 13.3895i | 1.09960 | − | 0.706669i | 0.140597 | − | 0.990067i | \(-0.455098\pi\) |
0.959003 | + | 0.283398i | \(0.0914616\pi\) | |||||||
\(360\) | −0.959493 | − | 0.281733i | −0.0505697 | − | 0.0148486i | ||||
\(361\) | 1.40990 | + | 9.80604i | 0.0742050 | + | 0.516107i | ||||
\(362\) | −7.92692 | − | 9.14815i | −0.416630 | − | 0.480816i | ||||
\(363\) | 4.10477 | + | 2.63798i | 0.215445 | + | 0.138458i | ||||
\(364\) | 17.2588 | − | 19.9177i | 0.904608 | − | 1.04397i | ||||
\(365\) | 14.6369 | − | 4.29779i | 0.766132 | − | 0.224957i | ||||
\(366\) | −5.48149 | − | 12.0028i | −0.286522 | − | 0.627395i | ||||
\(367\) | 2.44948 | 0.127862 | 0.0639310 | − | 0.997954i | \(-0.479636\pi\) | ||||
0.0639310 | + | 0.997954i | \(0.479636\pi\) | |||||||
\(368\) | 3.68144 | + | 3.07360i | 0.191908 | + | 0.160223i | ||||
\(369\) | 1.92663 | 0.100296 | ||||||||
\(370\) | −0.153824 | − | 0.336828i | −0.00799695 | − | 0.0175109i | ||||
\(371\) | 11.1425 | − | 3.27174i | 0.578492 | − | 0.169860i | ||||
\(372\) | −5.36062 | + | 6.18649i | −0.277935 | + | 0.320754i | ||||
\(373\) | −1.03596 | − | 0.665770i | −0.0536399 | − | 0.0344722i | 0.513546 | − | 0.858062i | \(-0.328332\pi\) |
−0.567186 | + | 0.823590i | \(0.691968\pi\) | |||||||
\(374\) | −6.12848 | − | 7.07264i | −0.316896 | − | 0.365718i | ||||
\(375\) | −0.142315 | − | 0.989821i | −0.00734911 | − | 0.0511142i | ||||
\(376\) | −4.72697 | − | 1.38796i | −0.243775 | − | 0.0715787i | ||||
\(377\) | −28.9665 | + | 18.6157i | −1.49185 | + | 0.958755i | ||||
\(378\) | 0.743473 | − | 5.17097i | 0.0382401 | − | 0.265966i | ||||
\(379\) | −8.74017 | + | 19.1383i | −0.448952 | + | 0.983068i | 0.540916 | + | 0.841077i | \(0.318078\pi\) |
−0.989868 | + | 0.141991i | \(0.954649\pi\) | |||||||
\(380\) | −1.25268 | + | 2.74298i | −0.0642609 | + | 0.140712i | ||||
\(381\) | 0.372842 | − | 2.59317i | 0.0191013 | − | 0.132852i | ||||
\(382\) | 12.3036 | − | 7.90702i | 0.629505 | − | 0.404559i | ||||
\(383\) | −18.0419 | − | 5.29758i | −0.921898 | − | 0.270694i | −0.213857 | − | 0.976865i | \(-0.568603\pi\) |
−0.708041 | + | 0.706171i | \(0.750421\pi\) | |||||||
\(384\) | −0.142315 | − | 0.989821i | −0.00726247 | − | 0.0505116i | ||||
\(385\) | 13.6327 | + | 15.7329i | 0.694784 | + | 0.801824i | ||||
\(386\) | 10.3420 | + | 6.64638i | 0.526392 | + | 0.338292i | ||||
\(387\) | −7.27700 | + | 8.39810i | −0.369910 | + | 0.426899i | ||||
\(388\) | −7.50313 | + | 2.20312i | −0.380914 | + | 0.111846i | ||||
\(389\) | 8.13114 | + | 17.8047i | 0.412265 | + | 0.902735i | 0.995878 | + | 0.0907030i | \(0.0289114\pi\) |
−0.583613 | + | 0.812032i | \(0.698361\pi\) | |||||||
\(390\) | 5.04484 | 0.255455 | ||||||||
\(391\) | 11.1758 | + | 1.39815i | 0.565185 | + | 0.0707077i | ||||
\(392\) | 20.2917 | 1.02488 | ||||||||
\(393\) | −1.98809 | − | 4.35330i | −0.100286 | − | 0.219595i | ||||
\(394\) | −19.4042 | + | 5.69758i | −0.977569 | + | 0.287040i | ||||
\(395\) | 2.83384 | − | 3.27042i | 0.142586 | − | 0.164553i | ||||
\(396\) | 3.35230 | + | 2.15439i | 0.168460 | + | 0.108262i | ||||
\(397\) | 4.18618 | + | 4.83111i | 0.210098 | + | 0.242466i | 0.851012 | − | 0.525147i | \(-0.175990\pi\) |
−0.640913 | + | 0.767613i | \(0.721444\pi\) | |||||||
\(398\) | −3.14909 | − | 21.9024i | −0.157850 | − | 1.09787i | ||||
\(399\) | −15.1152 | − | 4.43822i | −0.756706 | − | 0.222189i | ||||
\(400\) | 0.841254 | − | 0.540641i | 0.0420627 | − | 0.0270320i | ||||
\(401\) | −2.23577 | + | 15.5501i | −0.111649 | + | 0.776537i | 0.854667 | + | 0.519177i | \(0.173762\pi\) |
−0.966316 | + | 0.257360i | \(0.917147\pi\) | |||||||
\(402\) | −0.852560 | + | 1.86685i | −0.0425218 | + | 0.0931098i | ||||
\(403\) | 17.1552 | − | 37.5646i | 0.854561 | − | 1.87123i | ||||
\(404\) | −1.11010 | + | 7.72089i | −0.0552294 | + | 0.384129i | ||||
\(405\) | 0.841254 | − | 0.540641i | 0.0418022 | − | 0.0268647i | ||||
\(406\) | −34.2121 | − | 10.0456i | −1.69792 | − | 0.498553i | ||||
\(407\) | 0.209995 | + | 1.46055i | 0.0104091 | + | 0.0723967i | ||||
\(408\) | −1.53793 | − | 1.77487i | −0.0761389 | − | 0.0878689i | ||||
\(409\) | −17.0729 | − | 10.9721i | −0.844201 | − | 0.542535i | 0.0455598 | − | 0.998962i | \(-0.485493\pi\) |
−0.889761 | + | 0.456426i | \(0.849129\pi\) | |||||||
\(410\) | −1.26167 | + | 1.45605i | −0.0623096 | + | 0.0719091i | ||||
\(411\) | −19.5117 | + | 5.72916i | −0.962442 | + | 0.282599i | ||||
\(412\) | 4.74954 | + | 10.4000i | 0.233993 | + | 0.512374i | ||||
\(413\) | 11.4096 | 0.561430 | ||||||||
\(414\) | −4.73370 | + | 0.769463i | −0.232649 | + | 0.0378170i | ||||
\(415\) | −9.08475 | −0.445953 | ||||||||
\(416\) | 2.09570 | + | 4.58895i | 0.102750 | + | 0.224992i | ||||
\(417\) | −12.4007 | + | 3.64117i | −0.607264 | + | 0.178309i | ||||
\(418\) | 7.86904 | − | 9.08136i | 0.384887 | − | 0.444184i | ||||
\(419\) | −19.6823 | − | 12.6491i | −0.961544 | − | 0.617947i | −0.0371188 | − | 0.999311i | \(-0.511818\pi\) |
−0.924425 | + | 0.381364i | \(0.875454\pi\) | |||||||
\(420\) | 3.42109 | + | 3.94814i | 0.166932 | + | 0.192650i | ||||
\(421\) | 3.84670 | + | 26.7544i | 0.187477 | + | 1.30393i | 0.838513 | + | 0.544881i | \(0.183425\pi\) |
−0.651037 | + | 0.759046i | \(0.725666\pi\) | |||||||
\(422\) | −5.69031 | − | 1.67083i | −0.277000 | − | 0.0813346i | ||||
\(423\) | 4.14446 | − | 2.66348i | 0.201510 | − | 0.129503i | ||||
\(424\) | −0.316357 | + | 2.20031i | −0.0153636 | + | 0.106857i | ||||
\(425\) | 0.975595 | − | 2.13626i | 0.0473233 | − | 0.103624i | ||||
\(426\) | 3.15425 | − | 6.90685i | 0.152824 | − | 0.334638i | ||||
\(427\) | −9.81028 | + | 68.2320i | −0.474753 | + | 3.30198i | ||||
\(428\) | −2.90146 | + | 1.86465i | −0.140247 | + | 0.0901314i | ||||
\(429\) | −19.2888 | − | 5.66371i | −0.931272 | − | 0.273446i | ||||
\(430\) | −1.58144 | − | 10.9992i | −0.0762639 | − | 0.530427i | ||||
\(431\) | 1.44038 | + | 1.66229i | 0.0693807 | + | 0.0800696i | 0.789379 | − | 0.613906i | \(-0.210403\pi\) |
−0.719998 | + | 0.693976i | \(0.755857\pi\) | |||||||
\(432\) | 0.841254 | + | 0.540641i | 0.0404748 | + | 0.0260116i | ||||
\(433\) | 0.390582 | − | 0.450756i | 0.0187702 | − | 0.0216620i | −0.746287 | − | 0.665624i | \(-0.768165\pi\) |
0.765057 | + | 0.643963i | \(0.222711\pi\) | |||||||
\(434\) | 41.0320 | − | 12.0481i | 1.96960 | − | 0.578327i | ||||
\(435\) | −2.83534 | − | 6.20852i | −0.135944 | − | 0.297676i | ||||
\(436\) | −16.2880 | −0.780054 | ||||||||
\(437\) | 0.265226 | + | 14.4593i | 0.0126875 | + | 0.691682i | ||||
\(438\) | −15.2549 | −0.728906 | ||||||||
\(439\) | −4.68102 | − | 10.2500i | −0.223413 | − | 0.489206i | 0.764421 | − | 0.644717i | \(-0.223025\pi\) |
−0.987834 | + | 0.155511i | \(0.950298\pi\) | |||||||
\(440\) | −3.82347 | + | 1.12267i | −0.182277 | + | 0.0535214i | ||||
\(441\) | −13.2882 | + | 15.3354i | −0.632772 | + | 0.730258i | ||||
\(442\) | 9.96693 | + | 6.40536i | 0.474079 | + | 0.304672i | ||||
\(443\) | −23.0562 | − | 26.6082i | −1.09543 | − | 1.26420i | −0.961974 | − | 0.273141i | \(-0.911937\pi\) |
−0.133458 | − | 0.991054i | \(-0.542608\pi\) | |||||||
\(444\) | 0.0526979 | + | 0.366522i | 0.00250093 | + | 0.0173944i | ||||
\(445\) | 3.93784 | + | 1.15625i | 0.186672 | + | 0.0548117i | ||||
\(446\) | −2.70061 | + | 1.73558i | −0.127878 | + | 0.0821820i | ||||
\(447\) | −0.116914 | + | 0.813151i | −0.00552982 | + | 0.0384607i | ||||
\(448\) | −2.17019 | + | 4.75205i | −0.102532 | + | 0.224513i | ||||
\(449\) | −2.25009 | + | 4.92700i | −0.106188 | + | 0.232520i | −0.955266 | − | 0.295748i | \(-0.904431\pi\) |
0.849078 | + | 0.528268i | \(0.177158\pi\) | |||||||
\(450\) | −0.142315 | + | 0.989821i | −0.00670879 | + | 0.0466606i | ||||
\(451\) | 6.45864 | − | 4.15072i | 0.304125 | − | 0.195450i | ||||
\(452\) | 14.1442 | + | 4.15312i | 0.665289 | + | 0.195347i | ||||
\(453\) | −1.75744 | − | 12.2233i | −0.0825717 | − | 0.574299i | ||||
\(454\) | 12.2973 | + | 14.1918i | 0.577140 | + | 0.666056i | ||||
\(455\) | −22.1712 | − | 14.2486i | −1.03940 | − | 0.667983i | ||||
\(456\) | 1.97472 | − | 2.27895i | 0.0924747 | − | 0.106722i | ||||
\(457\) | 23.5774 | − | 6.92294i | 1.10290 | − | 0.323842i | 0.320898 | − | 0.947114i | \(-0.396015\pi\) |
0.782005 | + | 0.623272i | \(0.214197\pi\) | |||||||
\(458\) | 8.21507 | + | 17.9885i | 0.383865 | + | 0.840547i | ||||
\(459\) | 2.34848 | 0.109618 | ||||||||
\(460\) | 2.51839 | − | 4.08138i | 0.117421 | − | 0.190295i | ||||
\(461\) | 21.0443 | 0.980130 | 0.490065 | − | 0.871686i | \(-0.336973\pi\) | ||||
0.490065 | + | 0.871686i | \(0.336973\pi\) | |||||||
\(462\) | −8.64796 | − | 18.9364i | −0.402339 | − | 0.881001i | ||||
\(463\) | −16.5129 | + | 4.84862i | −0.767418 | + | 0.225334i | −0.641933 | − | 0.766761i | \(-0.721867\pi\) |
−0.125486 | + | 0.992095i | \(0.540049\pi\) | |||||||
\(464\) | 4.46963 | − | 5.15823i | 0.207497 | − | 0.239465i | ||||
\(465\) | 6.88641 | + | 4.42563i | 0.319350 | + | 0.205234i | ||||
\(466\) | −12.2014 | − | 14.0811i | −0.565217 | − | 0.652295i | ||||
\(467\) | −0.469603 | − | 3.26616i | −0.0217306 | − | 0.151140i | 0.976067 | − | 0.217469i | \(-0.0697802\pi\) |
−0.997798 | + | 0.0663296i | \(0.978871\pi\) | |||||||
\(468\) | −4.84049 | − | 1.42130i | −0.223752 | − | 0.0656994i | ||||
\(469\) | 9.01955 | − | 5.79651i | 0.416484 | − | 0.267658i | ||||
\(470\) | −0.701118 | + | 4.87638i | −0.0323402 | + | 0.224931i | ||||
\(471\) | 4.13552 | − | 9.05552i | 0.190555 | − | 0.417256i | ||||
\(472\) | −0.907272 | + | 1.98665i | −0.0417606 | + | 0.0914429i | ||||
\(473\) | −6.30187 | + | 43.8305i | −0.289760 | + | 2.01533i | ||||
\(474\) | −3.64043 | + | 2.33956i | −0.167210 | + | 0.107460i | ||||
\(475\) | 2.89333 | + | 0.849559i | 0.132755 | + | 0.0389804i | ||||
\(476\) | 1.74603 | + | 12.1439i | 0.0800293 | + | 0.556616i | ||||
\(477\) | −1.45571 | − | 1.67998i | −0.0666526 | − | 0.0769212i | ||||
\(478\) | 14.0980 | + | 9.06023i | 0.644827 | + | 0.414405i | ||||
\(479\) | 9.97618 | − | 11.5131i | 0.455823 | − | 0.526048i | −0.480591 | − | 0.876945i | \(-0.659578\pi\) |
0.936414 | + | 0.350897i | \(0.114123\pi\) | |||||||
\(480\) | −0.959493 | + | 0.281733i | −0.0437947 | + | 0.0128593i | ||||
\(481\) | −0.776019 | − | 1.69924i | −0.0353834 | − | 0.0774789i | ||||
\(482\) | −15.7631 | −0.717989 | ||||||||
\(483\) | 22.9771 | + | 9.98814i | 1.04549 | + | 0.454476i | ||||
\(484\) | 4.87935 | 0.221789 | ||||||||
\(485\) | 3.24850 | + | 7.11323i | 0.147507 | + | 0.322995i | ||||
\(486\) | −0.959493 | + | 0.281733i | −0.0435235 | + | 0.0127796i | ||||
\(487\) | −7.78812 | + | 8.98797i | −0.352914 | + | 0.407284i | −0.904253 | − | 0.426997i | \(-0.859571\pi\) |
0.551339 | + | 0.834281i | \(0.314117\pi\) | |||||||
\(488\) | −11.1005 | − | 7.13387i | −0.502497 | − | 0.322935i | ||||
\(489\) | −3.91287 | − | 4.51570i | −0.176946 | − | 0.204207i | ||||
\(490\) | −2.88781 | − | 20.0851i | −0.130458 | − | 0.907354i | ||||
\(491\) | −8.67987 | − | 2.54864i | −0.391717 | − | 0.115018i | 0.0799421 | − | 0.996800i | \(-0.474526\pi\) |
−0.471659 | + | 0.881781i | \(0.656345\pi\) | |||||||
\(492\) | 1.62078 | − | 1.04161i | 0.0730705 | − | 0.0469596i | ||||
\(493\) | 2.28118 | − | 15.8660i | 0.102739 | − | 0.714568i | ||||
\(494\) | −6.31955 | + | 13.8379i | −0.284330 | + | 0.622596i | ||||
\(495\) | 1.65538 | − | 3.62478i | 0.0744039 | − | 0.162922i | ||||
\(496\) | −1.16497 | + | 8.10258i | −0.0523089 | + | 0.363816i | ||||
\(497\) | −33.3700 | + | 21.4456i | −1.49685 | + | 0.961967i | ||||
\(498\) | 8.71675 | + | 2.55947i | 0.390607 | + | 0.114693i | ||||
\(499\) | 4.57659 | + | 31.8309i | 0.204876 | + | 1.42495i | 0.789555 | + | 0.613680i | \(0.210312\pi\) |
−0.584678 | + | 0.811265i | \(0.698779\pi\) | |||||||
\(500\) | −0.654861 | − | 0.755750i | −0.0292863 | − | 0.0337981i | ||||
\(501\) | −16.9552 | − | 10.8965i | −0.757504 | − | 0.486818i | ||||
\(502\) | −2.48659 | + | 2.86968i | −0.110982 | + | 0.128080i | ||||
\(503\) | 14.1439 | − | 4.15304i | 0.630647 | − | 0.185175i | 0.0492393 | − | 0.998787i | \(-0.484320\pi\) |
0.581408 | + | 0.813612i | \(0.302502\pi\) | |||||||
\(504\) | −2.17019 | − | 4.75205i | −0.0966678 | − | 0.211673i | ||||
\(505\) | 7.80029 | 0.347108 | ||||||||
\(506\) | −14.2111 | + | 12.7777i | −0.631759 | + | 0.568039i | ||||
\(507\) | 12.4504 | 0.552941 | ||||||||
\(508\) | −1.08832 | − | 2.38309i | −0.0482864 | − | 0.105732i | ||||
\(509\) | −8.28733 | + | 2.43338i | −0.367330 | + | 0.107858i | −0.460188 | − | 0.887822i | \(-0.652218\pi\) |
0.0928581 | + | 0.995679i | \(0.470400\pi\) | |||||||
\(510\) | −1.53793 | + | 1.77487i | −0.0681007 | + | 0.0785924i | ||||
\(511\) | 67.0425 | + | 43.0856i | 2.96579 | + | 1.90600i | ||||
\(512\) | −0.654861 | − | 0.755750i | −0.0289410 | − | 0.0333997i | ||||
\(513\) | 0.429148 | + | 2.98479i | 0.0189473 | + | 0.131782i | ||||
\(514\) | 10.6665 | + | 3.13198i | 0.470481 | + | 0.138146i | ||||
\(515\) | 9.61826 | − | 6.18128i | 0.423831 | − | 0.272380i | ||||
\(516\) | −1.58144 | + | 10.9992i | −0.0696191 | + | 0.484212i | ||||
\(517\) | 8.15529 | − | 17.8576i | 0.358669 | − | 0.785376i | ||||
\(518\) | 0.803601 | − | 1.75964i | 0.0353082 | − | 0.0773141i | ||||
\(519\) | −2.57014 | + | 17.8757i | −0.112817 | + | 0.784656i | ||||
\(520\) | 4.24399 | − | 2.72745i | 0.186111 | − | 0.119606i | ||||
\(521\) | 40.0350 | + | 11.7553i | 1.75396 | + | 0.515011i | 0.991281 | − | 0.131762i | \(-0.0420633\pi\) |
0.762683 | + | 0.646772i | \(0.223882\pi\) | |||||||
\(522\) | 0.971343 | + | 6.75584i | 0.0425145 | + | 0.295695i | ||||
\(523\) | −1.58198 | − | 1.82571i | −0.0691754 | − | 0.0798326i | 0.720107 | − | 0.693863i | \(-0.244093\pi\) |
−0.789282 | + | 0.614030i | \(0.789547\pi\) | |||||||
\(524\) | −4.02606 | − | 2.58739i | −0.175879 | − | 0.113031i | ||||
\(525\) | 3.42109 | − | 3.94814i | 0.149308 | − | 0.172311i | ||||
\(526\) | −10.2050 | + | 2.99647i | −0.444960 | + | 0.130652i | ||||
\(527\) | 7.98612 | + | 17.4872i | 0.347881 | + | 0.761753i | ||||
\(528\) | 3.98489 | 0.173420 | ||||||||
\(529\) | 2.43613 | − | 22.8706i | 0.105919 | − | 0.994375i | ||||
\(530\) | 2.22294 | 0.0965582 | ||||||||
\(531\) | −0.907272 | − | 1.98665i | −0.0393722 | − | 0.0862132i | ||||
\(532\) | −15.1152 | + | 4.43822i | −0.655326 | + | 0.192421i | ||||
\(533\) | −6.36494 | + | 7.34553i | −0.275696 | + | 0.318170i | ||||
\(534\) | −3.45258 | − | 2.21884i | −0.149408 | − | 0.0960185i | ||||
\(535\) | 2.25859 | + | 2.60656i | 0.0976476 | + | 0.112691i | ||||
\(536\) | 0.292074 | + | 2.03142i | 0.0126157 | + | 0.0877439i | ||||
\(537\) | −1.14009 | − | 0.334761i | −0.0491985 | − | 0.0144460i | ||||
\(538\) | 21.2571 | − | 13.6611i | 0.916460 | − | 0.588973i | ||||
\(539\) | −11.5076 | + | 80.0371i | −0.495667 | + | 3.44744i | ||||
\(540\) | 0.415415 | − | 0.909632i | 0.0178766 | − | 0.0391443i | ||||
\(541\) | 2.66013 | − | 5.82487i | 0.114368 | − | 0.250431i | −0.843789 | − | 0.536676i | \(-0.819680\pi\) |
0.958156 | + | 0.286245i | \(0.0924071\pi\) | |||||||
\(542\) | 1.24988 | − | 8.69312i | 0.0536870 | − | 0.373401i | ||||
\(543\) | 10.1832 | − | 6.54432i | 0.437001 | − | 0.280844i | ||||
\(544\) | −2.25335 | − | 0.661644i | −0.0966117 | − | 0.0283678i | ||||
\(545\) | 2.31802 | + | 16.1222i | 0.0992933 | + | 0.690600i | ||||
\(546\) | 17.2588 | + | 19.9177i | 0.738610 | + | 0.852401i | ||||
\(547\) | −9.03781 | − | 5.80825i | −0.386429 | − | 0.248343i | 0.332974 | − | 0.942936i | \(-0.391948\pi\) |
−0.719402 | + | 0.694593i | \(0.755584\pi\) | |||||||
\(548\) | −13.3169 | + | 15.3685i | −0.568869 | + | 0.656510i | ||||
\(549\) | 12.6607 | − | 3.71752i | 0.540346 | − | 0.158660i | ||||
\(550\) | 1.65538 | + | 3.62478i | 0.0705858 | + | 0.154561i | ||||
\(551\) | 20.5816 | 0.876805 | ||||||||
\(552\) | −3.56624 | + | 3.20655i | −0.151789 | + | 0.136480i | ||||
\(553\) | 22.6069 | 0.961343 | ||||||||
\(554\) | −9.50249 | − | 20.8076i | −0.403722 | − | 0.884028i | ||||
\(555\) | 0.355291 | − | 0.104323i | 0.0150813 | − | 0.00442826i | ||||
\(556\) | −8.46355 | + | 9.76746i | −0.358935 | + | 0.414233i | ||||
\(557\) | 20.0948 | + | 12.9142i | 0.851445 | + | 0.547190i | 0.892025 | − | 0.451986i | \(-0.149284\pi\) |
−0.0405803 | + | 0.999176i | \(0.512921\pi\) | |||||||
\(558\) | −5.36062 | − | 6.18649i | −0.226933 | − | 0.261895i | ||||
\(559\) | −7.97812 | − | 55.4890i | −0.337439 | − | 2.34694i | ||||
\(560\) | 5.01253 | + | 1.47181i | 0.211818 | + | 0.0621954i | ||||
\(561\) | 7.87283 | − | 5.05956i | 0.332391 | − | 0.213615i | ||||
\(562\) | −2.44400 | + | 16.9984i | −0.103094 | + | 0.717035i | ||||
\(563\) | 10.2196 | − | 22.3778i | 0.430705 | − | 0.943112i | −0.562507 | − | 0.826793i | \(-0.690163\pi\) |
0.993212 | − | 0.116320i | \(-0.0371097\pi\) | |||||||
\(564\) | 2.04655 | − | 4.48133i | 0.0861755 | − | 0.188698i | ||||
\(565\) | 2.09792 | − | 14.5913i | 0.0882600 | − | 0.613862i | ||||
\(566\) | 5.45457 | − | 3.50544i | 0.229273 | − | 0.147345i | ||||
\(567\) | 5.01253 | + | 1.47181i | 0.210506 | + | 0.0618103i | ||||
\(568\) | −1.08060 | − | 7.51573i | −0.0453409 | − | 0.315353i | ||||
\(569\) | −4.94779 | − | 5.71006i | −0.207422 | − | 0.239378i | 0.642501 | − | 0.766285i | \(-0.277897\pi\) |
−0.849923 | + | 0.526907i | \(0.823352\pi\) | |||||||
\(570\) | −2.53678 | − | 1.63029i | −0.106254 | − | 0.0682854i | ||||
\(571\) | 20.1451 | − | 23.2487i | 0.843048 | − | 0.972929i | −0.156844 | − | 0.987623i | \(-0.550132\pi\) |
0.999892 | + | 0.0146940i | \(0.00467742\pi\) | |||||||
\(572\) | −19.2888 | + | 5.66371i | −0.806506 | + | 0.236811i | ||||
\(573\) | 6.07556 | + | 13.3036i | 0.253810 | + | 0.555767i | ||||
\(574\) | −10.0650 | −0.420104 | ||||||||
\(575\) | −4.39825 | − | 1.91192i | −0.183420 | − | 0.0797325i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −10.8543 | − | 23.7675i | −0.451869 | − | 0.989454i | −0.989266 | − | 0.146125i | \(-0.953320\pi\) |
0.537397 | − | 0.843329i | \(-0.319408\pi\) | |||||||
\(578\) | 11.0194 | − | 3.23559i | 0.458347 | − | 0.134583i | ||||
\(579\) | −8.05054 | + | 9.29082i | −0.334569 | + | 0.386113i | ||||
\(580\) | −5.74182 | − | 3.69004i | −0.238416 | − | 0.153221i | ||||
\(581\) | −31.0797 | − | 35.8679i | −1.28940 | − | 1.48805i | ||||
\(582\) | −1.11289 | − | 7.74030i | −0.0461307 | − | 0.320846i | ||||
\(583\) | −8.49934 | − | 2.49563i | −0.352007 | − | 0.103359i | ||||
\(584\) | −12.8332 | + | 8.24740i | −0.531042 | + | 0.341280i | ||||
\(585\) | −0.717955 | + | 4.99349i | −0.0296838 | + | 0.206455i | ||||
\(586\) | 1.91285 | − | 4.18855i | 0.0790190 | − | 0.173027i | ||||
\(587\) | 14.2151 | − | 31.1267i | 0.586719 | − | 1.28474i | −0.350686 | − | 0.936493i | \(-0.614051\pi\) |
0.937405 | − | 0.348242i | \(-0.113221\pi\) | |||||||
\(588\) | −2.88781 | + | 20.0851i | −0.119091 | + | 0.828297i | ||||
\(589\) | −20.7659 | + | 13.3454i | −0.855642 | + | 0.549888i | ||||
\(590\) | 2.09555 | + | 0.615308i | 0.0862722 | + | 0.0253318i | ||||
\(591\) | −2.87809 | − | 20.0175i | −0.118389 | − | 0.823411i | ||||
\(592\) | 0.242489 | + | 0.279847i | 0.00996623 | + | 0.0115016i | ||||
\(593\) | −23.2015 | − | 14.9107i | −0.952770 | − | 0.612308i | −0.0307820 | − | 0.999526i | \(-0.509800\pi\) |
−0.921988 | + | 0.387218i | \(0.873436\pi\) | |||||||
\(594\) | −2.60955 | + | 3.01158i | −0.107071 | + | 0.123567i | ||||
\(595\) | 11.7718 | − | 3.45652i | 0.482598 | − | 0.141704i | ||||
\(596\) | 0.341269 | + | 0.747275i | 0.0139789 | + | 0.0306096i | ||||
\(597\) | 22.1277 | 0.905625 | ||||||||
\(598\) | 12.7049 | − | 20.5899i | 0.519542 | − | 0.841984i | ||||
\(599\) | −45.5746 | −1.86213 | −0.931063 | − | 0.364857i | \(-0.881118\pi\) | ||||
−0.931063 | + | 0.364857i | \(0.881118\pi\) | |||||||
\(600\) | 0.415415 | + | 0.909632i | 0.0169592 | + | 0.0371356i | ||||
\(601\) | 26.1618 | − | 7.68180i | 1.06716 | − | 0.313347i | 0.299431 | − | 0.954118i | \(-0.403203\pi\) |
0.767732 | + | 0.640771i | \(0.221385\pi\) | |||||||
\(602\) | 38.0161 | − | 43.8729i | 1.54942 | − | 1.78813i | ||||
\(603\) | −1.72651 | − | 1.10956i | −0.0703090 | − | 0.0451848i | ||||
\(604\) | −8.08684 | − | 9.33271i | −0.329049 | − | 0.379743i | ||||
\(605\) | −0.694404 | − | 4.82969i | −0.0282315 | − | 0.196355i | ||||
\(606\) | −7.48432 | − | 2.19759i | −0.304030 | − | 0.0892712i | ||||
\(607\) | −6.91038 | + | 4.44103i | −0.280484 | + | 0.180256i | −0.673317 | − | 0.739354i | \(-0.735131\pi\) |
0.392834 | + | 0.919610i | \(0.371495\pi\) | |||||||
\(608\) | 0.429148 | − | 2.98479i | 0.0174042 | − | 0.121049i | ||||
\(609\) | 14.8122 | − | 32.4342i | 0.600221 | − | 1.31430i | ||||
\(610\) | −5.48149 | + | 12.0028i | −0.221939 | + | 0.485978i | ||||
\(611\) | −3.53703 | + | 24.6006i | −0.143093 | + | 0.995232i | ||||
\(612\) | 1.97567 | − | 1.26969i | 0.0798617 | − | 0.0513240i | ||||
\(613\) | 19.4964 | + | 5.72465i | 0.787451 | + | 0.231217i | 0.650646 | − | 0.759381i | \(-0.274498\pi\) |
0.136806 | + | 0.990598i | \(0.456316\pi\) | |||||||
\(614\) | −0.898398 | − | 6.24849i | −0.0362564 | − | 0.252169i | ||||
\(615\) | −1.26167 | − | 1.45605i | −0.0508756 | − | 0.0587135i | ||||
\(616\) | −17.5129 | − | 11.2549i | −0.705615 | − | 0.453471i | ||||
\(617\) | 13.9754 | − | 16.1285i | 0.562628 | − | 0.649308i | −0.401150 | − | 0.916012i | \(-0.631389\pi\) |
0.963778 | + | 0.266705i | \(0.0859348\pi\) | |||||||
\(618\) | −10.9701 | + | 3.22112i | −0.441283 | + | 0.129572i | ||||
\(619\) | −1.13132 | − | 2.47725i | −0.0454718 | − | 0.0995693i | 0.885533 | − | 0.464577i | \(-0.153794\pi\) |
−0.931004 | + | 0.365008i | \(0.881066\pi\) | |||||||
\(620\) | 8.18590 | 0.328754 | ||||||||
\(621\) | −0.0879548 | − | 4.79502i | −0.00352950 | − | 0.192418i | ||||
\(622\) | 9.68505 | 0.388335 | ||||||||
\(623\) | 8.90664 | + | 19.5028i | 0.356837 | + | 0.781364i | ||||
\(624\) | −4.84049 | + | 1.42130i | −0.193775 | + | 0.0568973i | ||||
\(625\) | −0.654861 | + | 0.755750i | −0.0261944 | + | 0.0302300i | ||||
\(626\) | 21.4214 | + | 13.7667i | 0.856172 | + | 0.550228i | ||||
\(627\) | 7.86904 | + | 9.08136i | 0.314259 | + | 0.362675i | ||||
\(628\) | −1.41677 | − | 9.85382i | −0.0565351 | − | 0.393210i | ||||
\(629\) | 0.834396 | + | 0.245001i | 0.0332695 | + | 0.00976882i | ||||
\(630\) | −4.39483 | + | 2.82439i | −0.175094 | + | 0.112526i | ||||
\(631\) | −1.52965 | + | 10.6390i | −0.0608945 | + | 0.423531i | 0.936456 | + | 0.350785i | \(0.114085\pi\) |
−0.997351 | + | 0.0727456i | \(0.976824\pi\) | |||||||
\(632\) | −1.79766 | + | 3.93633i | −0.0715071 | + | 0.156579i | ||||
\(633\) | 2.46364 | − | 5.39461i | 0.0979208 | − | 0.214417i | ||||
\(634\) | 3.20141 | − | 22.2663i | 0.127144 | − | 0.884307i | ||||
\(635\) | −2.20395 | + | 1.41639i | −0.0874609 | + | 0.0562077i | ||||
\(636\) | −2.13289 | − | 0.626274i | −0.0845747 | − | 0.0248334i | ||||
\(637\) | −14.5685 | − | 101.326i | −0.577226 | − | 4.01469i | ||||
\(638\) | 17.8110 | + | 20.5550i | 0.705143 | + | 0.813779i | ||||
\(639\) | 6.38765 | + | 4.10509i | 0.252692 | + | 0.162395i | ||||
\(640\) | −0.654861 | + | 0.755750i | −0.0258856 | + | 0.0298736i | ||||
\(641\) | 8.35087 | − | 2.45204i | 0.329839 | − | 0.0968496i | −0.112620 | − | 0.993638i | \(-0.535924\pi\) |
0.442459 | + | 0.896789i | \(0.354106\pi\) | |||||||
\(642\) | −1.43275 | − | 3.13729i | −0.0565463 | − | 0.123819i | ||||
\(643\) | 15.1774 | 0.598538 | 0.299269 | − | 0.954169i | \(-0.403257\pi\) | ||||
0.299269 | + | 0.954169i | \(0.403257\pi\) | |||||||
\(644\) | 24.7295 | − | 4.01978i | 0.974480 | − | 0.158402i | ||||
\(645\) | 11.1123 | 0.437546 | ||||||||
\(646\) | −2.94189 | − | 6.44184i | −0.115747 | − | 0.253451i | ||||
\(647\) | 8.46551 | − | 2.48570i | 0.332813 | − | 0.0977228i | −0.111056 | − | 0.993814i | \(-0.535423\pi\) |
0.443870 | + | 0.896091i | \(0.353605\pi\) | |||||||
\(648\) | −0.654861 | + | 0.755750i | −0.0257254 | + | 0.0296886i | ||||
\(649\) | −7.32147 | − | 4.70523i | −0.287393 | − | 0.184696i | ||||
\(650\) | −3.30367 | − | 3.81263i | −0.129580 | − | 0.149544i | ||||
\(651\) | 6.08599 | + | 42.3290i | 0.238529 | + | 1.65901i | ||||
\(652\) | −5.73309 | − | 1.68339i | −0.224525 | − | 0.0659265i | ||||
\(653\) | −39.0772 | + | 25.1134i | −1.52921 | + | 0.982762i | −0.539133 | + | 0.842220i | \(0.681248\pi\) |
−0.990075 | + | 0.140542i | \(0.955115\pi\) | |||||||
\(654\) | 2.31802 | − | 16.1222i | 0.0906419 | − | 0.630429i | ||||
\(655\) | −1.98809 | + | 4.35330i | −0.0776809 | + | 0.170098i | ||||
\(656\) | 0.800350 | − | 1.75252i | 0.0312484 | − | 0.0684245i | ||||
\(657\) | 2.17099 | − | 15.0996i | 0.0846985 | − | 0.589091i | ||||
\(658\) | −21.6512 | + | 13.9144i | −0.844054 | + | 0.542440i | ||||
\(659\) | −3.69138 | − | 1.08389i | −0.143796 | − | 0.0422222i | 0.209043 | − | 0.977907i | \(-0.432965\pi\) |
−0.352838 | + | 0.935684i | \(0.614783\pi\) | |||||||
\(660\) | −0.567109 | − | 3.94433i | −0.0220747 | − | 0.153533i | ||||
\(661\) | 4.92887 | + | 5.68822i | 0.191711 | + | 0.221246i | 0.843465 | − | 0.537184i | \(-0.180512\pi\) |
−0.651754 | + | 0.758430i | \(0.725967\pi\) | |||||||
\(662\) | −0.395961 | − | 0.254469i | −0.0153895 | − | 0.00989020i | ||||
\(663\) | −7.75861 | + | 8.95391i | −0.301319 | + | 0.347741i | ||||
\(664\) | 8.71675 | − | 2.55947i | 0.338276 | − | 0.0993267i | ||||
\(665\) | 6.54416 | + | 14.3297i | 0.253772 | + | 0.555682i | ||||
\(666\) | −0.370291 | −0.0143485 | ||||||||
\(667\) | −32.4799 | − | 4.06341i | −1.25762 | − | 0.157336i | ||||
\(668\) | −20.1547 | −0.779810 | ||||||||
\(669\) | −1.33358 | − | 2.92012i | −0.0515590 | − | 0.112898i | ||||
\(670\) | 1.96918 | − | 0.578202i | 0.0760759 | − | 0.0223379i | ||||
\(671\) | 34.4335 | − | 39.7384i | 1.32929 | − | 1.53408i | ||||
\(672\) | −4.39483 | − | 2.82439i | −0.169534 | − | 0.108953i | ||||
\(673\) | 15.2978 | + | 17.6546i | 0.589687 | + | 0.680535i | 0.969659 | − | 0.244463i | \(-0.0786118\pi\) |
−0.379972 | + | 0.924998i | \(0.624066\pi\) | |||||||
\(674\) | 1.81264 | + | 12.6072i | 0.0698202 | + | 0.485610i | ||||
\(675\) | −0.959493 | − | 0.281733i | −0.0369309 | − | 0.0108439i | ||||
\(676\) | 10.4739 | − | 6.73119i | 0.402844 | − | 0.258892i | ||||
\(677\) | −1.39345 | + | 9.69163i | −0.0535545 | + | 0.372480i | 0.945365 | + | 0.326013i | \(0.105705\pi\) |
−0.998920 | + | 0.0464668i | \(0.985204\pi\) | |||||||
\(678\) | −6.12379 | + | 13.4092i | −0.235183 | + | 0.514978i | ||||
\(679\) | −16.9706 | + | 37.1605i | −0.651273 | + | 1.42609i | ||||
\(680\) | −0.334224 | + | 2.32458i | −0.0128169 | + | 0.0891435i | ||||
\(681\) | −15.7975 | + | 10.1524i | −0.605360 | + | 0.389041i | ||||
\(682\) | −31.2986 | − | 9.19009i | −1.19848 | − | 0.351907i | ||||
\(683\) | −0.981028 | − | 6.82320i | −0.0375380 | − | 0.261082i | 0.962407 | − | 0.271613i | \(-0.0875571\pi\) |
−0.999945 | + | 0.0105305i | \(0.996648\pi\) | |||||||
\(684\) | 1.97472 | + | 2.27895i | 0.0755053 | + | 0.0871378i | ||||
\(685\) | 17.1073 | + | 10.9942i | 0.653635 | + | 0.420066i | ||||
\(686\) | 45.4720 | − | 52.4774i | 1.73613 | − | 2.00360i | ||||
\(687\) | −18.9745 | + | 5.57142i | −0.723923 | + | 0.212563i | ||||
\(688\) | 4.61621 | + | 10.1081i | 0.175991 | + | 0.385367i | ||||
\(689\) | 11.2144 | 0.427233 | ||||||||
\(690\) | 3.68144 | + | 3.07360i | 0.140150 | + | 0.117010i | ||||
\(691\) | −6.18352 | −0.235232 | −0.117616 | − | 0.993059i | \(-0.537525\pi\) | ||||
−0.117616 | + | 0.993059i | \(0.537525\pi\) | |||||||
\(692\) | 7.50220 | + | 16.4275i | 0.285191 | + | 0.624481i | ||||
\(693\) | 19.9744 | − | 5.86501i | 0.758764 | − | 0.222793i | ||||
\(694\) | 10.7724 | − | 12.4320i | 0.408914 | − | 0.471912i | ||||
\(695\) | 10.8725 | + | 6.98735i | 0.412419 | + | 0.265045i | ||||
\(696\) | 4.46963 | + | 5.15823i | 0.169421 | + | 0.195522i | ||||
\(697\) | −0.643925 | − | 4.47860i | −0.0243904 | − | 0.169639i | ||||
\(698\) | −28.6846 | − | 8.42256i | −1.08573 | − | 0.318799i | ||||
\(699\) | 15.6742 | − | 10.0732i | 0.592854 | − | 0.381004i | ||||
\(700\) | 0.743473 | − | 5.17097i | 0.0281006 | − | 0.195444i | ||||
\(701\) | −6.85596 | + | 15.0125i | −0.258946 | + | 0.567013i | −0.993796 | − | 0.111217i | \(-0.964525\pi\) |
0.734850 | + | 0.678230i | \(0.237252\pi\) | |||||||
\(702\) | 2.09570 | − | 4.58895i | 0.0790972 | − | 0.173199i | ||||
\(703\) | −0.158909 | + | 1.10524i | −0.00599338 | + | 0.0416849i | ||||
\(704\) | 3.35230 | − | 2.15439i | 0.126345 | − | 0.0811968i | ||||
\(705\) | −4.72697 | − | 1.38796i | −0.178028 | − | 0.0522737i | ||||
\(706\) | −0.263098 | − | 1.82989i | −0.00990183 | − | 0.0688687i | ||||
\(707\) | 26.6855 | + | 30.7967i | 1.00361 | + | 1.15823i | ||||
\(708\) | −1.83731 | − | 1.18077i | −0.0690503 | − | 0.0443759i | ||||
\(709\) | 22.7788 | − | 26.2881i | 0.855476 | − | 0.987272i | −0.144522 | − | 0.989502i | \(-0.546164\pi\) |
0.999998 | + | 0.00222979i | \(0.000709766\pi\) | |||||||
\(710\) | −7.28545 | + | 2.13920i | −0.273418 | + | 0.0802827i | ||||
\(711\) | −1.79766 | − | 3.93633i | −0.0674176 | − | 0.147624i | ||||
\(712\) | −4.10409 | −0.153807 | ||||||||
\(713\) | 35.4054 | − | 16.9606i | 1.32594 | − | 0.635180i | ||||
\(714\) | −12.2688 | −0.459149 | ||||||||
\(715\) | 8.35114 | + | 18.2864i | 0.312315 | + | 0.683874i | ||||
\(716\) | −1.14009 | + | 0.334761i | −0.0426072 | + | 0.0125106i | ||||
\(717\) | −10.9744 | + | 12.6651i | −0.409845 | + | 0.472986i | ||||
\(718\) | 20.8344 | + | 13.3895i | 0.777534 | + | 0.499691i | ||||
\(719\) | 28.7271 | + | 33.1528i | 1.07134 | + | 1.23639i | 0.970401 | + | 0.241498i | \(0.0776389\pi\) |
0.100938 | + | 0.994893i | \(0.467816\pi\) | |||||||
\(720\) | −0.142315 | − | 0.989821i | −0.00530376 | − | 0.0368885i | ||||
\(721\) | 57.3095 | + | 16.8276i | 2.13432 | + | 0.626692i | ||||
\(722\) | −8.33419 | + | 5.35606i | −0.310167 | + | 0.199332i | ||||
\(723\) | 2.24332 | − | 15.6027i | 0.0834301 | − | 0.580269i | ||||
\(724\) | 5.02849 | − | 11.0109i | 0.186882 | − | 0.409215i | ||||
\(725\) | −2.83534 | + | 6.20852i | −0.105302 | + | 0.230579i | ||||
\(726\) | −0.694404 | + | 4.82969i | −0.0257718 | + | 0.179246i | ||||
\(727\) | 23.6408 | − | 15.1930i | 0.876788 | − | 0.563478i | −0.0230339 | − | 0.999735i | \(-0.507333\pi\) |
0.899822 | + | 0.436257i | \(0.143696\pi\) | |||||||
\(728\) | 25.2874 | + | 7.42505i | 0.937213 | + | 0.275191i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 9.98981 | + | 11.5289i | 0.369740 | + | 0.426702i | ||||
\(731\) | 21.9542 | + | 14.1091i | 0.812005 | + | 0.521844i | ||||
\(732\) | 8.64102 | − | 9.97227i | 0.319381 | − | 0.368586i | ||||
\(733\) | −33.4194 | + | 9.81281i | −1.23437 | + | 0.362444i | −0.832898 | − | 0.553426i | \(-0.813320\pi\) |
−0.401474 | + | 0.915870i | \(0.631502\pi\) | |||||||
\(734\) | 1.01755 | + | 2.22813i | 0.0375585 | + | 0.0822417i | ||||
\(735\) | 20.2917 | 0.748470 | ||||||||
\(736\) | −1.26652 | + | 4.62557i | −0.0466846 | + | 0.170501i | ||||
\(737\) | −8.17822 | −0.301249 | ||||||||
\(738\) | 0.800350 | + | 1.75252i | 0.0294613 | + | 0.0645112i | ||||
\(739\) | 34.3640 | − | 10.0902i | 1.26410 | − | 0.371174i | 0.420082 | − | 0.907486i | \(-0.362001\pi\) |
0.844020 | + | 0.536312i | \(0.180183\pi\) | |||||||
\(740\) | 0.242489 | − | 0.279847i | 0.00891407 | − | 0.0102874i | ||||
\(741\) | −12.7977 | − | 8.22456i | −0.470134 | − | 0.302137i | ||||
\(742\) | 7.60486 | + | 8.77647i | 0.279183 | + | 0.322195i | ||||
\(743\) | −2.78611 | − | 19.3778i | −0.102213 | − | 0.710904i | −0.974903 | − | 0.222630i | \(-0.928536\pi\) |
0.872690 | − | 0.488274i | \(-0.162373\pi\) | |||||||
\(744\) | −7.85431 | − | 2.30623i | −0.287953 | − | 0.0845506i | ||||
\(745\) | 0.691101 | − | 0.444144i | 0.0253200 | − | 0.0162722i | ||||
\(746\) | 0.175253 | − | 1.21891i | 0.00641647 | − | 0.0446275i | ||||
\(747\) | −3.77394 | + | 8.26378i | −0.138081 | + | 0.302356i | ||||
\(748\) | 3.88764 | − | 8.51274i | 0.142146 | − | 0.311257i | ||||
\(749\) | −2.56422 | + | 17.8345i | −0.0936944 | + | 0.651659i | ||||
\(750\) | 0.841254 | − | 0.540641i | 0.0307182 | − | 0.0197414i | ||||
\(751\) | −15.3200 | − | 4.49836i | −0.559035 | − | 0.164147i | −0.0100047 | − | 0.999950i | \(-0.503185\pi\) |
−0.549030 | + | 0.835802i | \(0.685003\pi\) | |||||||
\(752\) | −0.701118 | − | 4.87638i | −0.0255671 | − | 0.177823i | ||||
\(753\) | −2.48659 | − | 2.86968i | −0.0906164 | − | 0.104577i | ||||
\(754\) | −28.9665 | − | 18.6157i | −1.05490 | − | 0.677943i | ||||
\(755\) | −8.08684 | + | 9.33271i | −0.294310 | + | 0.339652i | ||||
\(756\) | 5.01253 | − | 1.47181i | 0.182304 | − | 0.0535293i | ||||
\(757\) | 7.42875 | + | 16.2667i | 0.270003 | + | 0.591223i | 0.995259 | − | 0.0972552i | \(-0.0310063\pi\) |
−0.725257 | + | 0.688478i | \(0.758279\pi\) | |||||||
\(758\) | −21.0396 | −0.764193 | ||||||||
\(759\) | −10.6252 | − | 15.8849i | −0.385671 | − | 0.576585i | ||||
\(760\) | −3.01548 | −0.109383 | ||||||||
\(761\) | −18.7709 | − | 41.1026i | −0.680446 | − | 1.48997i | −0.862170 | − | 0.506620i | \(-0.830895\pi\) |
0.181723 | − | 0.983350i | \(-0.441832\pi\) | |||||||
\(762\) | 2.51371 | − | 0.738093i | 0.0910623 | − | 0.0267383i | ||||
\(763\) | −55.7227 | + | 64.3074i | −2.01730 | + | 2.32808i | ||||
\(764\) | 12.3036 | + | 7.90702i | 0.445128 | + | 0.286066i | ||||
\(765\) | −1.53793 | − | 1.77487i | −0.0556040 | − | 0.0641704i | ||||
\(766\) | −2.67603 | − | 18.6122i | −0.0966888 | − | 0.672486i | ||||
\(767\) | 10.5717 | + | 3.10413i | 0.381721 | + | 0.112084i | ||||
\(768\) | 0.841254 | − | 0.540641i | 0.0303561 | − | 0.0195087i | ||||
\(769\) | 5.71042 | − | 39.7169i | 0.205923 | − | 1.43223i | −0.580360 | − | 0.814360i | \(-0.697088\pi\) |
0.786283 | − | 0.617867i | \(-0.212003\pi\) | |||||||
\(770\) | −8.64796 | + | 18.9364i | −0.311651 | + | 0.682420i | ||||
\(771\) | −4.61811 | + | 10.1122i | −0.166317 | + | 0.364184i | ||||
\(772\) | −1.74955 | + | 12.1684i | −0.0629677 | + | 0.437950i | ||||
\(773\) | −38.3117 | + | 24.6215i | −1.37798 | + | 0.885572i | −0.999203 | − | 0.0399165i | \(-0.987291\pi\) |
−0.378775 | + | 0.925489i | \(0.623654\pi\) | |||||||
\(774\) | −10.6622 | − | 3.13069i | −0.383243 | − | 0.112530i | ||||
\(775\) | −1.16497 | − | 8.10258i | −0.0418471 | − | 0.291053i | ||||
\(776\) | −5.12094 | − | 5.90988i | −0.183831 | − | 0.212152i | ||||
\(777\) | 1.62737 | + | 1.04584i | 0.0583814 | + | 0.0375194i | ||||
\(778\) | −12.8179 | + | 14.7927i | −0.459546 | + | 0.530344i | ||||
\(779\) | 5.57437 | − | 1.63678i | 0.199723 | − | 0.0586439i | ||||
\(780\) | 2.09570 | + | 4.58895i | 0.0750382 | + | 0.164311i | ||||
\(781\) | 30.2573 | 1.08269 | ||||||||
\(782\) | 3.37079 | + | 10.7467i | 0.120539 | + | 0.384301i | ||||
\(783\) | −6.82531 | −0.243917 | ||||||||
\(784\) | 8.42947 | + | 18.4580i | 0.301052 | + | 0.659213i | ||||
\(785\) | −9.55190 | + | 2.80469i | −0.340922 | + | 0.100104i | ||||
\(786\) | 3.13402 | − | 3.61685i | 0.111787 | − | 0.129009i | ||||
\(787\) | 21.8992 | + | 14.0737i | 0.780621 | + | 0.501675i | 0.869240 | − | 0.494391i | \(-0.164609\pi\) |
−0.0886186 | + | 0.996066i | \(0.528245\pi\) | |||||||
\(788\) | −13.2435 | − | 15.2838i | −0.471780 | − | 0.544463i | ||||
\(789\) | −1.51364 | − | 10.5276i | −0.0538870 | − | 0.374792i | ||||
\(790\) | 4.15210 | + | 1.21917i | 0.147725 | + | 0.0433760i | ||||
\(791\) | 64.7858 | − | 41.6353i | 2.30352 | − | 1.48038i | ||||
\(792\) | −0.567109 | + | 3.94433i | −0.0201513 | + | 0.140156i | ||||
\(793\) | −27.6532 | + | 60.5521i | −0.981994 | + | 2.15027i | ||||
\(794\) | −2.65553 | + | 5.81480i | −0.0942412 | + | 0.206359i | ||||
\(795\) | −0.316357 | + | 2.20031i | −0.0112200 | + | 0.0780370i | ||||
\(796\) | 18.6150 | − | 11.9631i | 0.659790 | − | 0.424021i | ||||
\(797\) | −36.8049 | − | 10.8069i | −1.30370 | − | 0.382800i | −0.445113 | − | 0.895474i | \(-0.646837\pi\) |
−0.858583 | + | 0.512675i | \(0.828655\pi\) | |||||||
\(798\) | −2.24193 | − | 15.5930i | −0.0793634 | − | 0.551985i | ||||
\(799\) | −7.57665 | − | 8.74392i | −0.268043 | − | 0.309338i | ||||
\(800\) | 0.841254 | + | 0.540641i | 0.0297428 | + | 0.0191145i | ||||
\(801\) | 2.68761 | − | 3.10166i | 0.0949619 | − | 0.109592i | ||||
\(802\) | −15.0737 | + | 4.42603i | −0.532270 | + | 0.156289i | ||||
\(803\) | −25.2526 | − | 55.2956i | −0.891147 | − | 1.95134i | ||||
\(804\) | −2.05231 | −0.0723793 | ||||||||
\(805\) | −7.49825 | − | 23.9057i | −0.264279 | − | 0.842567i | ||||
\(806\) | 41.2965 | 1.45461 | ||||||||
\(807\) | 10.4969 | + | 22.9849i | 0.369507 | + | 0.809108i | ||||
\(808\) | −7.48432 | + | 2.19759i | −0.263297 | + | 0.0773111i | ||||
\(809\) | 2.08327 | − | 2.40422i | 0.0732439 | − | 0.0845279i | −0.717945 | − | 0.696100i | \(-0.754917\pi\) |
0.791189 | + | 0.611572i | \(0.209463\pi\) | |||||||
\(810\) | 0.841254 | + | 0.540641i | 0.0295586 | + | 0.0189962i | ||||
\(811\) | −9.61669 | − | 11.0982i | −0.337687 | − | 0.389712i | 0.561354 | − | 0.827576i | \(-0.310281\pi\) |
−0.899041 | + | 0.437864i | \(0.855735\pi\) | |||||||
\(812\) | −5.07444 | − | 35.2935i | −0.178078 | − | 1.23856i | ||||
\(813\) | 8.42676 | + | 2.47432i | 0.295539 | + | 0.0867782i | ||||
\(814\) | −1.24133 | + | 0.797753i | −0.0435085 | + | 0.0279612i | ||||
\(815\) | −0.850349 | + | 5.91431i | −0.0297864 | + | 0.207169i | ||||
\(816\) | 0.975595 | − | 2.13626i | 0.0341527 | − | 0.0747839i | ||||
\(817\) | −13.9201 | + | 30.4807i | −0.487002 | + | 1.06639i | ||||
\(818\) | 2.88822 | − | 20.0880i | 0.100984 | − | 0.702362i | ||||
\(819\) | −22.1712 | + | 14.2486i | −0.774725 | + | 0.497885i | ||||
\(820\) | −1.84859 | − | 0.542794i | −0.0645554 | − | 0.0189552i | ||||
\(821\) | −7.49750 | − | 52.1463i | −0.261665 | − | 1.81992i | −0.520347 | − | 0.853955i | \(-0.674197\pi\) |
0.258682 | − | 0.965962i | \(-0.416712\pi\) | |||||||
\(822\) | −13.3169 | − | 15.3685i | −0.464480 | − | 0.536038i | ||||
\(823\) | 15.1107 | + | 9.71104i | 0.526725 | + | 0.338505i | 0.776827 | − | 0.629714i | \(-0.216828\pi\) |
−0.250102 | + | 0.968219i | \(0.580464\pi\) | |||||||
\(824\) | −7.48718 | + | 8.64067i | −0.260828 | + | 0.301012i | ||||
\(825\) | −3.82347 | + | 1.12267i | −0.133116 | + | 0.0390865i | ||||
\(826\) | 4.73972 | + | 10.3785i | 0.164916 | + | 0.361115i | ||||
\(827\) | 3.96427 | 0.137851 | 0.0689256 | − | 0.997622i | \(-0.478043\pi\) | ||||
0.0689256 | + | 0.997622i | \(0.478043\pi\) | |||||||
\(828\) | −2.66638 | − | 3.98628i | −0.0926631 | − | 0.138533i | ||||
\(829\) | −15.7253 | −0.546161 | −0.273081 | − | 0.961991i | \(-0.588043\pi\) | ||||
−0.273081 | + | 0.961991i | \(0.588043\pi\) | |||||||
\(830\) | −3.77394 | − | 8.26378i | −0.130995 | − | 0.286840i | ||||
\(831\) | 21.9481 | − | 6.44455i | 0.761371 | − | 0.223559i | ||||
\(832\) | −3.30367 | + | 3.81263i | −0.114534 | + | 0.132179i | ||||
\(833\) | 40.0896 | + | 25.7641i | 1.38902 | + | 0.892672i | ||||
\(834\) | −8.46355 | − | 9.76746i | −0.293069 | − | 0.338220i | ||||
\(835\) | 2.86832 | + | 19.9496i | 0.0992622 | + | 0.690384i | ||||
\(836\) | 11.5296 | + | 3.38540i | 0.398760 | + | 0.117087i | ||||
\(837\) | 6.88641 | − | 4.42563i | 0.238029 | − | 0.152972i | ||||
\(838\) | 3.32966 | − | 23.1583i | 0.115021 | − | 0.799989i | ||||
\(839\) | 21.1195 | − | 46.2452i | 0.729125 | − | 1.59656i | −0.0715320 | − | 0.997438i | \(-0.522789\pi\) |
0.800657 | − | 0.599123i | \(-0.204484\pi\) | |||||||
\(840\) | −2.17019 | + | 4.75205i | −0.0748786 | + | 0.163961i | ||||
\(841\) | −2.50259 | + | 17.4059i | −0.0862962 | + | 0.600203i | ||||
\(842\) | −22.7386 | + | 14.6132i | −0.783626 | + | 0.503606i | ||||
\(843\) | −16.4776 | − | 4.83825i | −0.567518 | − | 0.166638i | ||||
\(844\) | −0.844004 | − | 5.87018i | −0.0290518 | − | 0.202060i | ||||
\(845\) | −8.15327 | − | 9.40938i | −0.280481 | − | 0.323692i | ||||
\(846\) | 4.14446 | + | 2.66348i | 0.142489 | + | 0.0915724i | ||||
\(847\) | 16.6927 | − | 19.2644i | 0.573567 | − | 0.661932i | ||||
\(848\) | −2.13289 | + | 0.626274i | −0.0732438 | + | 0.0215063i | ||||
\(849\) | 2.69349 | + | 5.89793i | 0.0924404 | + | 0.202416i | ||||
\(850\) | 2.34848 | 0.0805523 | ||||||||
\(851\) | 0.468982 | − | 1.71281i | 0.0160765 | − | 0.0587143i | ||||
\(852\) | 7.59302 | 0.260132 | ||||||||
\(853\) | 0.884624 | + | 1.93706i | 0.0302889 | + | 0.0663235i | 0.924172 | − | 0.381977i | \(-0.124757\pi\) |
−0.893883 | + | 0.448301i | \(0.852029\pi\) | |||||||
\(854\) | −66.1413 | + | 19.4209i | −2.26331 | + | 0.664568i | ||||
\(855\) | 1.97472 | − | 2.27895i | 0.0675340 | − | 0.0779384i | ||||
\(856\) | −2.90146 | − | 1.86465i | −0.0991698 | − | 0.0637326i | ||||
\(857\) | −36.9331 | − | 42.6230i | −1.26161 | − | 1.45597i | −0.833762 | − | 0.552123i | \(-0.813818\pi\) |
−0.427847 | − | 0.903851i | \(-0.640728\pi\) | |||||||
\(858\) | −2.86097 | − | 19.8985i | −0.0976720 | − | 0.679324i | ||||
\(859\) | −12.6116 | − | 3.70310i | −0.430302 | − | 0.126348i | 0.0594073 | − | 0.998234i | \(-0.481079\pi\) |
−0.489709 | + | 0.871886i | \(0.662897\pi\) | |||||||
\(860\) | 9.34824 | − | 6.00775i | 0.318773 | − | 0.204863i | ||||
\(861\) | 1.43240 | − | 9.96253i | 0.0488159 | − | 0.339522i | ||||
\(862\) | −0.913715 | + | 2.00076i | −0.0311213 | + | 0.0681461i | ||||
\(863\) | 14.1867 | − | 31.0645i | 0.482920 | − | 1.05745i | −0.498730 | − | 0.866758i | \(-0.666200\pi\) |
0.981650 | − | 0.190691i | \(-0.0610727\pi\) | |||||||
\(864\) | −0.142315 | + | 0.989821i | −0.00484165 | + | 0.0336744i | ||||
\(865\) | 15.1926 | − | 9.76372i | 0.516565 | − | 0.331976i | ||||
\(866\) | 0.572276 | + | 0.168035i | 0.0194467 | + | 0.00571007i | ||||
\(867\) | 1.63443 | + | 11.3677i | 0.0555082 | + | 0.386068i | ||||
\(868\) | 28.0047 | + | 32.3191i | 0.950540 | + | 1.09698i | ||||
\(869\) | −14.5067 | − | 9.32290i | −0.492106 | − | 0.316258i | ||||
\(870\) | 4.46963 | − | 5.15823i | 0.151535 | − | 0.174880i | ||||
\(871\) | 9.93417 | − | 2.91694i | 0.336607 | − | 0.0988366i | ||||
\(872\) | −6.76628 | − | 14.8161i | −0.229135 | − | 0.501736i | ||||
\(873\) | 7.81989 | 0.264663 | ||||||||
\(874\) | −13.0425 | + | 6.24787i | −0.441168 | + | 0.211337i | ||||
\(875\) | −5.22414 | −0.176608 | ||||||||
\(876\) | −6.33710 | − | 13.8763i | −0.214111 | − | 0.468837i | ||||
\(877\) | −33.1499 | + | 9.73370i | −1.11939 | + | 0.328684i | −0.788531 | − | 0.614995i | \(-0.789158\pi\) |
−0.330863 | + | 0.943679i | \(0.607340\pi\) | |||||||
\(878\) | 7.37916 | − | 8.51601i | 0.249035 | − | 0.287401i | ||||
\(879\) | 3.87369 | + | 2.48947i | 0.130656 | + | 0.0839677i | ||||
\(880\) | −2.60955 | − | 3.01158i | −0.0879679 | − | 0.101520i | ||||
\(881\) | 2.28644 | + | 15.9026i | 0.0770322 | + | 0.535771i | 0.991398 | + | 0.130882i | \(0.0417808\pi\) |
−0.914366 | + | 0.404889i | \(0.867310\pi\) | |||||||
\(882\) | −19.4697 | − | 5.71683i | −0.655580 | − | 0.192496i | ||||
\(883\) | 9.33427 | − | 5.99877i | 0.314123 | − | 0.201875i | −0.374073 | − | 0.927399i | \(-0.622039\pi\) |
0.688196 | + | 0.725525i | \(0.258403\pi\) | |||||||
\(884\) | −1.68611 | + | 11.7271i | −0.0567099 | + | 0.394426i | ||||
\(885\) | −0.907272 | + | 1.98665i | −0.0304976 | + | 0.0667804i | ||||
\(886\) | 14.6258 | − | 32.0261i | 0.491364 | − | 1.07594i | ||||
\(887\) | 3.74174 | − | 26.0244i | 0.125635 | − | 0.873813i | −0.825360 | − | 0.564607i | \(-0.809028\pi\) |
0.950995 | − | 0.309206i | \(-0.100063\pi\) | |||||||
\(888\) | −0.311508 | + | 0.200194i | −0.0104535 | + | 0.00671808i | ||||
\(889\) | −13.1320 | − | 3.85590i | −0.440433 | − | 0.129323i | ||||
\(890\) | 0.584072 | + | 4.06231i | 0.0195782 | + | 0.136169i | ||||
\(891\) | −2.60955 | − | 3.01158i | −0.0874232 | − | 0.100892i | ||||
\(892\) | −2.70061 | − | 1.73558i | −0.0904232 | − | 0.0581114i | ||||
\(893\) | 9.72851 | − | 11.2273i | 0.325552 | − | 0.375707i | ||||
\(894\) | −0.788236 | + | 0.231447i | −0.0263626 | + | 0.00774075i | ||||
\(895\) | 0.493605 | + | 1.08084i | 0.0164994 | + | 0.0361286i | ||||
\(896\) | −5.22414 | −0.174526 | ||||||||
\(897\) | 18.5722 | + | 15.5058i | 0.620109 | + | 0.517724i | ||||
\(898\) | −5.41648 | −0.180750 | ||||||||
\(899\) | −23.2098 | − | 50.8223i | −0.774089 | − | 1.69502i | ||||
\(900\) | −0.959493 | + | 0.281733i | −0.0319831 | + | 0.00939109i | ||||
\(901\) | −3.41872 | + | 3.94541i | −0.113894 | + | 0.131441i | ||||
\(902\) | 6.45864 | + | 4.15072i | 0.215049 | + | 0.138204i | ||||
\(903\) | 38.0161 | + | 43.8729i | 1.26510 | + | 1.46000i | ||||
\(904\) | 2.09792 | + | 14.5913i | 0.0697756 | + | 0.485300i | ||||
\(905\) | −11.6144 | − | 3.41030i | −0.386076 | − | 0.113362i | ||||
\(906\) | 10.3886 | − | 6.67635i | 0.345138 | − | 0.221807i | ||||
\(907\) | −2.30878 | + | 16.0579i | −0.0766618 | + | 0.533195i | 0.914912 | + | 0.403653i | \(0.132260\pi\) |
−0.991574 | + | 0.129542i | \(0.958649\pi\) | |||||||
\(908\) | −7.80086 | + | 17.0815i | −0.258881 | + | 0.566870i | ||||
\(909\) | 3.24036 | − | 7.09539i | 0.107476 | − | 0.235339i | ||||
\(910\) | 3.75070 | − | 26.0867i | 0.124335 | − | 0.864766i | ||||
\(911\) | −22.9015 | + | 14.7179i | −0.758762 | + | 0.487627i | −0.861924 | − | 0.507038i | \(-0.830740\pi\) |
0.103162 | + | 0.994665i | \(0.467104\pi\) | |||||||
\(912\) | 2.89333 | + | 0.849559i | 0.0958078 | + | 0.0281317i | ||||
\(913\) | 5.15204 | + | 35.8333i | 0.170508 | + | 1.18591i | ||||
\(914\) | 16.0917 | + | 18.5708i | 0.532267 | + | 0.614269i | ||||
\(915\) | −11.1005 | − | 7.13387i | −0.366972 | − | 0.235838i | ||||
\(916\) | −12.9502 | + | 14.9454i | −0.427888 | + | 0.493809i | ||||
\(917\) | −23.9889 | + | 7.04377i | −0.792182 | + | 0.232606i | ||||
\(918\) | 0.975595 | + | 2.13626i | 0.0321994 | + | 0.0705069i | ||||
\(919\) | 12.2739 | 0.404879 | 0.202440 | − | 0.979295i | \(-0.435113\pi\) | ||||
0.202440 | + | 0.979295i | \(0.435113\pi\) | |||||||
\(920\) | 4.75874 | + | 0.595344i | 0.156891 | + | 0.0196279i | ||||
\(921\) | 6.31275 | 0.208012 | ||||||||
\(922\) | 8.74211 | + | 19.1426i | 0.287906 | + | 0.630426i | ||||
\(923\) | −36.7539 | + | 10.7919i | −1.20977 | + | 0.355220i | ||||
\(924\) | 13.6327 | − | 15.7329i | 0.448481 | − | 0.517575i | ||||
\(925\) | −0.311508 | − | 0.200194i | −0.0102423 | − | 0.00658235i | ||||
\(926\) | −11.2702 | − | 13.0064i | −0.370360 | − | 0.427418i | ||||
\(927\) | −1.62712 | − | 11.3169i | −0.0534417 | − | 0.371695i | ||||
\(928\) | 6.54884 | + | 1.92291i | 0.214976 | + | 0.0631227i | ||||
\(929\) | 9.25653 | − | 5.94881i | 0.303697 | − | 0.195174i | −0.379912 | − | 0.925023i | \(-0.624046\pi\) |
0.683609 | + | 0.729848i | \(0.260409\pi\) | |||||||
\(930\) | −1.16497 | + | 8.10258i | −0.0382010 | + | 0.265694i | ||||
\(931\) | −25.4189 | + | 55.6596i | −0.833071 | + | 1.82417i | ||||
\(932\) | 7.74001 | − | 16.9483i | 0.253532 | − | 0.555159i | ||||
\(933\) | −1.37833 | + | 9.58647i | −0.0451244 | + | 0.313847i | ||||
\(934\) | 2.77592 | − | 1.78398i | 0.0908310 | − | 0.0583735i | ||||
\(935\) | −8.97937 | − | 2.63658i | −0.293657 | − | 0.0862254i | ||||
\(936\) | −0.717955 | − | 4.99349i | −0.0234671 | − | 0.163217i | ||||
\(937\) | −6.18108 | − | 7.13334i | −0.201927 | − | 0.233036i | 0.645750 | − | 0.763549i | \(-0.276545\pi\) |
−0.847677 | + | 0.530513i | \(0.821999\pi\) | |||||||
\(938\) | 9.01955 | + | 5.79651i | 0.294499 | + | 0.189263i | ||||
\(939\) | −16.6752 | + | 19.2442i | −0.544173 | + | 0.628009i | ||||
\(940\) | −4.72697 | + | 1.38796i | −0.154177 | + | 0.0452704i | ||||
\(941\) | −22.3634 | − | 48.9691i | −0.729027 | − | 1.59635i | −0.800804 | − | 0.598927i | \(-0.795594\pi\) |
0.0717765 | − | 0.997421i | \(-0.477133\pi\) | |||||||
\(942\) | 9.95515 | 0.324356 | ||||||||
\(943\) | −9.12008 | + | 1.48247i | −0.296991 | + | 0.0482758i | ||||
\(944\) | −2.18401 | −0.0710836 | ||||||||
\(945\) | −2.17019 | − | 4.75205i | −0.0705962 | − | 0.154584i | ||||
\(946\) | −42.4875 | + | 12.4755i | −1.38139 | + | 0.405612i | ||||
\(947\) | −8.48543 | + | 9.79271i | −0.275739 | + | 0.318220i | −0.876680 | − | 0.481073i | \(-0.840247\pi\) |
0.600941 | + | 0.799293i | \(0.294793\pi\) | |||||||
\(948\) | −3.64043 | − | 2.33956i | −0.118236 | − | 0.0759854i | ||||
\(949\) | 50.3970 | + | 58.1612i | 1.63596 | + | 1.88799i | ||||
\(950\) | 0.429148 | + | 2.98479i | 0.0139234 | + | 0.0968393i | ||||
\(951\) | 21.5840 | + | 6.33764i | 0.699910 | + | 0.205512i | ||||
\(952\) | −10.3212 | + | 6.63302i | −0.334511 | + | 0.214977i | ||||
\(953\) | 2.30337 | − | 16.0203i | 0.0746134 | − | 0.518948i | −0.917900 | − | 0.396812i | \(-0.870117\pi\) |
0.992513 | − | 0.122136i | \(-0.0389743\pi\) | |||||||
\(954\) | 0.923441 | − | 2.02205i | 0.0298975 | − | 0.0654664i | ||||
\(955\) | 6.07556 | − | 13.3036i | 0.196601 | − | 0.430495i | ||||
\(956\) | −2.38496 | + | 16.5877i | −0.0771350 | + | 0.536486i | ||||
\(957\) | −22.8805 | + | 14.7044i | −0.739622 | + | 0.475326i | ||||
\(958\) | 14.6170 | + | 4.29193i | 0.472253 | + | 0.138666i | ||||
\(959\) | 15.1189 | + | 105.154i | 0.488213 | + | 3.39560i | ||||
\(960\) | −0.654861 | − | 0.755750i | −0.0211355 | − | 0.0243917i | ||||
\(961\) | 30.2926 | + | 19.4679i | 0.977181 | + | 0.627996i | ||||
\(962\) | 1.22332 | − | 1.41178i | 0.0394413 | − | 0.0455177i | ||||
\(963\) | 3.30926 | − | 0.971687i | 0.106639 | − | 0.0313122i | ||||
\(964\) | −6.54823 | − | 14.3386i | −0.210904 | − | 0.461816i | ||||
\(965\) | 12.2935 | 0.395742 | ||||||||
\(966\) | 0.459488 | + | 25.0499i | 0.0147838 | + | 0.805967i | ||||
\(967\) | −50.6541 | −1.62893 | −0.814463 | − | 0.580216i | \(-0.802968\pi\) | ||||
−0.814463 | + | 0.580216i | \(0.802968\pi\) | |||||||
\(968\) | 2.02696 | + | 4.43841i | 0.0651488 | + | 0.142656i | ||||
\(969\) | 6.79494 | − | 1.99518i | 0.218285 | − | 0.0640943i | ||||
\(970\) | −5.12094 | + | 5.90988i | −0.164424 | + | 0.189755i | ||||
\(971\) | 8.29995 | + | 5.33405i | 0.266358 | + | 0.171178i | 0.667002 | − | 0.745056i | \(-0.267577\pi\) |
−0.400644 | + | 0.916234i | \(0.631214\pi\) | |||||||
\(972\) | −0.654861 | − | 0.755750i | −0.0210047 | − | 0.0242407i | ||||
\(973\) | 9.60880 | + | 66.8307i | 0.308044 | + | 2.14249i | ||||
\(974\) | −11.4111 | − | 3.35059i | −0.365634 | − | 0.107360i | ||||
\(975\) | 4.24399 | − | 2.72745i | 0.135916 | − | 0.0873482i | ||||
\(976\) | 1.87787 | − | 13.0609i | 0.0601093 | − | 0.418069i | ||||
\(977\) | −3.50820 | + | 7.68189i | −0.112237 | + | 0.245765i | −0.957412 | − | 0.288724i | \(-0.906769\pi\) |
0.845175 | + | 0.534490i | \(0.179496\pi\) | |||||||
\(978\) | 2.48216 | − | 5.43516i | 0.0793706 | − | 0.173797i | ||||
\(979\) | 2.32746 | − | 16.1879i | 0.0743861 | − | 0.517367i | ||||
\(980\) | 17.0704 | − | 10.9705i | 0.545295 | − | 0.350440i | ||||
\(981\) | 15.6282 | + | 4.58886i | 0.498971 | + | 0.146511i | ||||
\(982\) | −1.28742 | − | 8.95423i | −0.0410833 | − | 0.285741i | ||||
\(983\) | −11.6939 | − | 13.4954i | −0.372976 | − | 0.430438i | 0.537969 | − | 0.842965i | \(-0.319192\pi\) |
−0.910945 | + | 0.412527i | \(0.864646\pi\) | |||||||
\(984\) | 1.62078 | + | 1.04161i | 0.0516687 | + | 0.0332054i | ||||
\(985\) | −13.2435 | + | 15.2838i | −0.421973 | + | 0.486983i | ||||
\(986\) | 15.3798 | − | 4.51593i | 0.489794 | − | 0.143816i | ||||
\(987\) | −10.6915 | − | 23.4111i | −0.340314 | − | 0.745183i | ||||
\(988\) | −15.2126 | −0.483978 | ||||||||
\(989\) | 27.9851 | − | 45.3535i | 0.889874 | − | 1.44216i | ||||
\(990\) | 3.98489 | 0.126648 | ||||||||
\(991\) | 5.78897 | + | 12.6761i | 0.183893 | + | 0.402669i | 0.979017 | − | 0.203777i | \(-0.0653218\pi\) |
−0.795125 | + | 0.606446i | \(0.792595\pi\) | |||||||
\(992\) | −7.85431 | + | 2.30623i | −0.249375 | + | 0.0732230i | ||||
\(993\) | 0.308230 | − | 0.355716i | 0.00978137 | − | 0.0112883i | ||||
\(994\) | −33.3700 | − | 21.4456i | −1.05843 | − | 0.680213i | ||||
\(995\) | −14.4905 | − | 16.7230i | −0.459381 | − | 0.530154i | ||||
\(996\) | 1.29289 | + | 8.99228i | 0.0409669 | + | 0.284931i | ||||
\(997\) | 24.4088 | + | 7.16706i | 0.773033 | + | 0.226983i | 0.644379 | − | 0.764706i | \(-0.277116\pi\) |
0.128654 | + | 0.991689i | \(0.458934\pi\) | |||||||
\(998\) | −27.0532 | + | 17.3860i | −0.856354 | + | 0.550345i | ||||
\(999\) | 0.0526979 | − | 0.366522i | 0.00166729 | − | 0.0115962i |
(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 | 690.2.m.g.211.3 | yes | 30 | |
23.6 | even | 11 | inner | 690.2.m.g.121.3 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.121.3 | ✓ | 30 | 23.6 | even | 11 | inner | |
690.2.m.g.211.3 | yes | 30 | 1.1 | even | 1 | trivial |