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 | 601.3 | ||
Character | \(\chi\) | \(=\) | 690.601 |
Dual form | 690.2.m.h.31.3 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | 0.415415 | − | 0.909632i | 0.239840 | − | 0.525176i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | ||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | 2.49910 | − | 1.60607i | 0.944571 | − | 0.607039i | 0.0248835 | − | 0.999690i | \(-0.492079\pi\) |
0.919687 | + | 0.392652i | \(0.128442\pi\) | |||||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0.841254 | + | 0.540641i | 0.266028 | + | 0.170966i | ||||
\(11\) | 0.638488 | − | 4.44078i | 0.192511 | − | 1.33895i | −0.632820 | − | 0.774299i | \(-0.718103\pi\) |
0.825332 | − | 0.564648i | \(-0.190988\pi\) | |||||||
\(12\) | −0.142315 | + | 0.989821i | −0.0410828 | + | 0.285737i | ||||
\(13\) | 0.235128 | + | 0.151108i | 0.0652127 | + | 0.0419097i | 0.572841 | − | 0.819667i | \(-0.305841\pi\) |
−0.507628 | + | 0.861576i | \(0.669478\pi\) | |||||||
\(14\) | 1.94539 | + | 2.24509i | 0.519926 | + | 0.600027i | ||||
\(15\) | −0.415415 | − | 0.909632i | −0.107260 | − | 0.234866i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −6.26965 | − | 1.84093i | −1.52061 | − | 0.446492i | −0.588451 | − | 0.808533i | \(-0.700262\pi\) |
−0.932162 | + | 0.362041i | \(0.882080\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | −7.29702 | + | 2.14260i | −1.67405 | + | 0.491546i | −0.974753 | − | 0.223285i | \(-0.928322\pi\) |
−0.699297 | + | 0.714831i | \(0.746504\pi\) | |||||||
\(20\) | −0.415415 | + | 0.909632i | −0.0928896 | + | 0.203400i | ||||
\(21\) | −0.422773 | − | 2.94045i | −0.0922565 | − | 0.641658i | ||||
\(22\) | 4.48645 | 0.956514 | ||||||||
\(23\) | 2.68385 | − | 3.97453i | 0.559622 | − | 0.828748i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | −0.116107 | + | 0.254239i | −0.0227705 | + | 0.0498605i | ||||
\(27\) | −0.959493 | + | 0.281733i | −0.184655 | + | 0.0542195i | ||||
\(28\) | −1.94539 | + | 2.24509i | −0.367643 | + | 0.424283i | ||||
\(29\) | 9.87352 | + | 2.89913i | 1.83347 | + | 0.538355i | 0.999901 | − | 0.0140654i | \(-0.00447730\pi\) |
0.833566 | + | 0.552420i | \(0.186295\pi\) | |||||||
\(30\) | 0.841254 | − | 0.540641i | 0.153591 | − | 0.0987071i | ||||
\(31\) | −0.779048 | − | 1.70588i | −0.139921 | − | 0.306385i | 0.826679 | − | 0.562674i | \(-0.190227\pi\) |
−0.966600 | + | 0.256289i | \(0.917500\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | −3.77424 | − | 2.42556i | −0.657011 | − | 0.422235i | ||||
\(34\) | 0.929933 | − | 6.46782i | 0.159482 | − | 1.10922i | ||||
\(35\) | 0.422773 | − | 2.94045i | 0.0714616 | − | 0.497026i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | 4.58226 | + | 5.28821i | 0.753318 | + | 0.869376i | 0.994886 | − | 0.101008i | \(-0.0322069\pi\) |
−0.241567 | + | 0.970384i | \(0.577661\pi\) | |||||||
\(38\) | −3.15926 | − | 6.91782i | −0.512500 | − | 1.12222i | ||||
\(39\) | 0.235128 | − | 0.151108i | 0.0376506 | − | 0.0241966i | ||||
\(40\) | −0.959493 | − | 0.281733i | −0.151709 | − | 0.0445458i | ||||
\(41\) | 2.13548 | − | 2.46447i | 0.333505 | − | 0.384886i | −0.564085 | − | 0.825717i | \(-0.690771\pi\) |
0.897590 | + | 0.440831i | \(0.145316\pi\) | |||||||
\(42\) | 2.85035 | − | 0.836939i | 0.439819 | − | 0.129142i | ||||
\(43\) | 1.39847 | − | 3.06223i | 0.213265 | − | 0.466985i | −0.772521 | − | 0.634989i | \(-0.781005\pi\) |
0.985786 | + | 0.168003i | \(0.0537320\pi\) | |||||||
\(44\) | 0.638488 | + | 4.44078i | 0.0962557 | + | 0.669473i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 4.31603 | + | 2.09090i | 0.636364 | + | 0.308287i | ||||
\(47\) | 12.5066 | 1.82427 | 0.912136 | − | 0.409887i | \(-0.134432\pi\) | ||||
0.912136 | + | 0.409887i | \(0.134432\pi\) | |||||||
\(48\) | −0.142315 | − | 0.989821i | −0.0205414 | − | 0.142868i | ||||
\(49\) | 0.758120 | − | 1.66005i | 0.108303 | − | 0.237150i | ||||
\(50\) | 0.959493 | − | 0.281733i | 0.135693 | − | 0.0398430i | ||||
\(51\) | −4.27908 | + | 4.93832i | −0.599191 | + | 0.691503i | ||||
\(52\) | −0.268175 | − | 0.0787434i | −0.0371892 | − | 0.0109197i | ||||
\(53\) | −2.13055 | + | 1.36922i | −0.292654 | + | 0.188077i | −0.678727 | − | 0.734391i | \(-0.737468\pi\) |
0.386072 | + | 0.922468i | \(0.373831\pi\) | |||||||
\(54\) | −0.415415 | − | 0.909632i | −0.0565308 | − | 0.123785i | ||||
\(55\) | −2.93800 | − | 3.39063i | −0.396160 | − | 0.457193i | ||||
\(56\) | −2.49910 | − | 1.60607i | −0.333956 | − | 0.214621i | ||||
\(57\) | −1.08232 | + | 7.52767i | −0.143356 | + | 0.997064i | ||||
\(58\) | −1.46447 | + | 10.1856i | −0.192294 | + | 1.33744i | ||||
\(59\) | −1.55475 | − | 0.999175i | −0.202411 | − | 0.130082i | 0.435509 | − | 0.900184i | \(-0.356568\pi\) |
−0.637920 | + | 0.770103i | \(0.720205\pi\) | |||||||
\(60\) | 0.654861 | + | 0.755750i | 0.0845422 | + | 0.0975669i | ||||
\(61\) | −0.890790 | − | 1.95056i | −0.114054 | − | 0.249743i | 0.843993 | − | 0.536354i | \(-0.180199\pi\) |
−0.958047 | + | 0.286611i | \(0.907471\pi\) | |||||||
\(62\) | 1.57764 | − | 1.01389i | 0.200361 | − | 0.128764i | ||||
\(63\) | −2.85035 | − | 0.836939i | −0.359111 | − | 0.105444i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 0.268175 | − | 0.0787434i | 0.0332631 | − | 0.00976692i | ||||
\(66\) | 1.86374 | − | 4.08102i | 0.229410 | − | 0.502339i | ||||
\(67\) | 0.517273 | + | 3.59771i | 0.0631950 | + | 0.439531i | 0.996714 | + | 0.0810026i | \(0.0258122\pi\) |
−0.933519 | + | 0.358528i | \(0.883279\pi\) | |||||||
\(68\) | 6.53433 | 0.792404 | ||||||||
\(69\) | −2.50045 | − | 4.09240i | −0.301019 | − | 0.492667i | ||||
\(70\) | 2.97069 | 0.355065 | ||||||||
\(71\) | −1.27196 | − | 8.84670i | −0.150954 | − | 1.04991i | −0.914625 | − | 0.404304i | \(-0.867514\pi\) |
0.763670 | − | 0.645606i | \(-0.223395\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | −3.71920 | + | 1.09206i | −0.435299 | + | 0.127815i | −0.492038 | − | 0.870574i | \(-0.663748\pi\) |
0.0567388 | + | 0.998389i | \(0.481930\pi\) | |||||||
\(74\) | −4.58226 | + | 5.28821i | −0.532677 | + | 0.614741i | ||||
\(75\) | −0.959493 | − | 0.281733i | −0.110793 | − | 0.0325317i | ||||
\(76\) | 6.39780 | − | 4.11161i | 0.733878 | − | 0.471635i | ||||
\(77\) | −5.53658 | − | 12.1234i | −0.630952 | − | 1.38159i | ||||
\(78\) | 0.183032 | + | 0.211230i | 0.0207243 | + | 0.0239171i | ||||
\(79\) | 9.73355 | + | 6.25537i | 1.09511 | + | 0.703784i | 0.957999 | − | 0.286772i | \(-0.0925821\pi\) |
0.137111 | + | 0.990556i | \(0.456218\pi\) | |||||||
\(80\) | 0.142315 | − | 0.989821i | 0.0159113 | − | 0.110665i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 2.74330 | + | 1.76301i | 0.302946 | + | 0.194692i | ||||
\(83\) | −0.201538 | − | 0.232588i | −0.0221217 | − | 0.0255298i | 0.744581 | − | 0.667532i | \(-0.232649\pi\) |
−0.766703 | + | 0.642002i | \(0.778104\pi\) | |||||||
\(84\) | 1.23407 | + | 2.70223i | 0.134648 | + | 0.294837i | ||||
\(85\) | −5.49703 | + | 3.53273i | −0.596237 | + | 0.383178i | ||||
\(86\) | 3.23008 | + | 0.948438i | 0.348309 | + | 0.102273i | ||||
\(87\) | 6.73875 | − | 7.77693i | 0.722470 | − | 0.833774i | ||||
\(88\) | −4.30472 | + | 1.26398i | −0.458884 | + | 0.134741i | ||||
\(89\) | −1.94798 | + | 4.26547i | −0.206485 | + | 0.452139i | −0.984334 | − | 0.176312i | \(-0.943583\pi\) |
0.777849 | + | 0.628451i | \(0.216311\pi\) | |||||||
\(90\) | −0.142315 | − | 0.989821i | −0.0150013 | − | 0.104336i | ||||
\(91\) | 0.830298 | 0.0870389 | ||||||||
\(92\) | −1.45538 | + | 4.56967i | −0.151734 | + | 0.476421i | ||||
\(93\) | −1.87535 | −0.194465 | ||||||||
\(94\) | 1.77987 | + | 12.3793i | 0.183580 | + | 1.27683i | ||||
\(95\) | −3.15926 | + | 6.91782i | −0.324134 | + | 0.709753i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | −5.46007 | + | 6.30126i | −0.554386 | + | 0.639796i | −0.961899 | − | 0.273403i | \(-0.911851\pi\) |
0.407513 | + | 0.913199i | \(0.366396\pi\) | |||||||
\(98\) | 1.75105 | + | 0.514154i | 0.176882 | + | 0.0519374i | ||||
\(99\) | −3.77424 | + | 2.42556i | −0.379325 | + | 0.243778i | ||||
\(100\) | 0.415415 | + | 0.909632i | 0.0415415 | + | 0.0909632i | ||||
\(101\) | −2.36321 | − | 2.72729i | −0.235148 | − | 0.271376i | 0.625895 | − | 0.779907i | \(-0.284734\pi\) |
−0.861043 | + | 0.508532i | \(0.830188\pi\) | |||||||
\(102\) | −5.49703 | − | 3.53273i | −0.544287 | − | 0.349792i | ||||
\(103\) | −2.27868 | + | 15.8486i | −0.224525 | + | 1.56161i | 0.496090 | + | 0.868271i | \(0.334769\pi\) |
−0.720615 | + | 0.693335i | \(0.756140\pi\) | |||||||
\(104\) | 0.0397766 | − | 0.276652i | 0.00390041 | − | 0.0271280i | ||||
\(105\) | −2.49910 | − | 1.60607i | −0.243887 | − | 0.156737i | ||||
\(106\) | −1.65850 | − | 1.91401i | −0.161087 | − | 0.185905i | ||||
\(107\) | 6.35649 | + | 13.9188i | 0.614505 | + | 1.34558i | 0.919449 | + | 0.393209i | \(0.128635\pi\) |
−0.304944 | + | 0.952370i | \(0.598638\pi\) | |||||||
\(108\) | 0.841254 | − | 0.540641i | 0.0809497 | − | 0.0520232i | ||||
\(109\) | 5.75156 | + | 1.68881i | 0.550899 | + | 0.161759i | 0.545323 | − | 0.838226i | \(-0.316407\pi\) |
0.00557612 | + | 0.999984i | \(0.498225\pi\) | |||||||
\(110\) | 2.93800 | − | 3.39063i | 0.280127 | − | 0.323284i | ||||
\(111\) | 6.71386 | − | 1.97137i | 0.637251 | − | 0.187114i | ||||
\(112\) | 1.23407 | − | 2.70223i | 0.116608 | − | 0.255337i | ||||
\(113\) | 0.834015 | + | 5.80070i | 0.0784575 | + | 0.545684i | 0.990703 | + | 0.136041i | \(0.0434378\pi\) |
−0.912246 | + | 0.409643i | \(0.865653\pi\) | |||||||
\(114\) | −7.60508 | −0.712281 | ||||||||
\(115\) | −1.24620 | − | 4.63109i | −0.116209 | − | 0.431851i | ||||
\(116\) | −10.2904 | −0.955435 | ||||||||
\(117\) | −0.0397766 | − | 0.276652i | −0.00367735 | − | 0.0255765i | ||||
\(118\) | 0.767742 | − | 1.68112i | 0.0706763 | − | 0.154760i | ||||
\(119\) | −18.6251 | + | 5.46884i | −1.70736 | + | 0.501327i | ||||
\(120\) | −0.654861 | + | 0.755750i | −0.0597803 | + | 0.0689902i | ||||
\(121\) | −8.75847 | − | 2.57172i | −0.796224 | − | 0.233793i | ||||
\(122\) | 1.80393 | − | 1.15932i | 0.163320 | − | 0.104960i | ||||
\(123\) | −1.35465 | − | 2.96628i | −0.122145 | − | 0.267460i | ||||
\(124\) | 1.22809 | + | 1.41729i | 0.110286 | + | 0.127277i | ||||
\(125\) | −0.841254 | − | 0.540641i | −0.0752440 | − | 0.0483564i | ||||
\(126\) | 0.422773 | − | 2.94045i | 0.0376636 | − | 0.261956i | ||||
\(127\) | −2.85175 | + | 19.8343i | −0.253052 | + | 1.76001i | 0.326613 | + | 0.945158i | \(0.394093\pi\) |
−0.579665 | + | 0.814855i | \(0.696816\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | −2.20455 | − | 2.54419i | −0.194100 | − | 0.224004i | ||||
\(130\) | 0.116107 | + | 0.254239i | 0.0101833 | + | 0.0222983i | ||||
\(131\) | 16.4253 | − | 10.5559i | 1.43509 | − | 0.922274i | 0.435329 | − | 0.900272i | \(-0.356632\pi\) |
0.999758 | − | 0.0220025i | \(-0.00700417\pi\) | |||||||
\(132\) | 4.30472 | + | 1.26398i | 0.374677 | + | 0.110015i | ||||
\(133\) | −14.7948 | + | 17.0741i | −1.28287 | + | 1.48051i | ||||
\(134\) | −3.48748 | + | 1.02402i | −0.301272 | + | 0.0884615i | ||||
\(135\) | −0.415415 | + | 0.909632i | −0.0357532 | + | 0.0782887i | ||||
\(136\) | 0.929933 | + | 6.46782i | 0.0797411 | + | 0.554611i | ||||
\(137\) | −16.2436 | −1.38779 | −0.693893 | − | 0.720078i | \(-0.744106\pi\) | ||||
−0.693893 | + | 0.720078i | \(0.744106\pi\) | |||||||
\(138\) | 3.69490 | − | 3.05741i | 0.314530 | − | 0.260264i | ||||
\(139\) | 8.96268 | 0.760205 | 0.380102 | − | 0.924944i | \(-0.375889\pi\) | ||||
0.380102 | + | 0.924944i | \(0.375889\pi\) | |||||||
\(140\) | 0.422773 | + | 2.94045i | 0.0357308 | + | 0.248513i | ||||
\(141\) | 5.19542 | − | 11.3764i | 0.437533 | − | 0.958065i | ||||
\(142\) | 8.57564 | − | 2.51803i | 0.719651 | − | 0.211309i | ||||
\(143\) | 0.821162 | − | 0.947672i | 0.0686690 | − | 0.0792483i | ||||
\(144\) | −0.959493 | − | 0.281733i | −0.0799577 | − | 0.0234777i | ||||
\(145\) | 8.65680 | − | 5.56339i | 0.718908 | − | 0.462014i | ||||
\(146\) | −1.61024 | − | 3.52593i | −0.133264 | − | 0.291808i | ||||
\(147\) | −1.19510 | − | 1.37922i | −0.0985703 | − | 0.113756i | ||||
\(148\) | −5.88650 | − | 3.78303i | −0.483868 | − | 0.310963i | ||||
\(149\) | 3.07904 | − | 21.4152i | 0.252245 | − | 1.75440i | −0.332427 | − | 0.943129i | \(-0.607867\pi\) |
0.584671 | − | 0.811270i | \(-0.301223\pi\) | |||||||
\(150\) | 0.142315 | − | 0.989821i | 0.0116200 | − | 0.0808186i | ||||
\(151\) | 11.3120 | + | 7.26977i | 0.920556 | + | 0.591606i | 0.912819 | − | 0.408364i | \(-0.133901\pi\) |
0.00773732 | + | 0.999970i | \(0.497537\pi\) | |||||||
\(152\) | 4.98027 | + | 5.74753i | 0.403953 | + | 0.466187i | ||||
\(153\) | 2.71446 | + | 5.94384i | 0.219451 | + | 0.480531i | ||||
\(154\) | 11.2121 | − | 7.20557i | 0.903495 | − | 0.580641i | ||||
\(155\) | −1.79938 | − | 0.528347i | −0.144530 | − | 0.0424378i | ||||
\(156\) | −0.183032 | + | 0.211230i | −0.0146543 | + | 0.0169119i | ||||
\(157\) | −3.13121 | + | 0.919405i | −0.249897 | + | 0.0733765i | −0.404282 | − | 0.914634i | \(-0.632479\pi\) |
0.154385 | + | 0.988011i | \(0.450660\pi\) | |||||||
\(158\) | −4.80647 | + | 10.5247i | −0.382382 | + | 0.837301i | ||||
\(159\) | 0.360426 | + | 2.50682i | 0.0285836 | + | 0.198803i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 0.323824 | − | 14.2432i | 0.0255209 | − | 1.12252i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −0.589896 | − | 4.10282i | −0.0462042 | − | 0.321357i | −0.999795 | − | 0.0202515i | \(-0.993553\pi\) |
0.953591 | − | 0.301106i | \(-0.0973558\pi\) | |||||||
\(164\) | −1.35465 | + | 2.96628i | −0.105781 | + | 0.231627i | ||||
\(165\) | −4.30472 | + | 1.26398i | −0.335122 | + | 0.0984006i | ||||
\(166\) | 0.201538 | − | 0.232588i | 0.0156424 | − | 0.0180523i | ||||
\(167\) | −22.8980 | − | 6.72346i | −1.77190 | − | 0.520277i | −0.777778 | − | 0.628539i | \(-0.783653\pi\) |
−0.994122 | + | 0.108262i | \(0.965471\pi\) | |||||||
\(168\) | −2.49910 | + | 1.60607i | −0.192810 | + | 0.123911i | ||||
\(169\) | −5.36794 | − | 11.7542i | −0.412919 | − | 0.904166i | ||||
\(170\) | −4.27908 | − | 4.93832i | −0.328190 | − | 0.378752i | ||||
\(171\) | 6.39780 | + | 4.11161i | 0.489252 | + | 0.314423i | ||||
\(172\) | −0.479095 | + | 3.33218i | −0.0365307 | + | 0.254076i | ||||
\(173\) | −0.467021 | + | 3.24820i | −0.0355069 | + | 0.246956i | −0.999843 | − | 0.0177250i | \(-0.994358\pi\) |
0.964336 | + | 0.264681i | \(0.0852667\pi\) | |||||||
\(174\) | 8.65680 | + | 5.56339i | 0.656270 | + | 0.421759i | ||||
\(175\) | −1.94539 | − | 2.24509i | −0.147057 | − | 0.169713i | ||||
\(176\) | −1.86374 | − | 4.08102i | −0.140485 | − | 0.307618i | ||||
\(177\) | −1.55475 | + | 0.999175i | −0.116862 | + | 0.0751026i | ||||
\(178\) | −4.49928 | − | 1.32111i | −0.337235 | − | 0.0990213i | ||||
\(179\) | 14.2244 | − | 16.4159i | 1.06318 | − | 1.22698i | 0.0902458 | − | 0.995920i | \(-0.471235\pi\) |
0.972939 | − | 0.231061i | \(-0.0742198\pi\) | |||||||
\(180\) | 0.959493 | − | 0.281733i | 0.0715164 | − | 0.0209991i | ||||
\(181\) | −4.08783 | + | 8.95111i | −0.303846 | + | 0.665330i | −0.998542 | − | 0.0539728i | \(-0.982812\pi\) |
0.694696 | + | 0.719303i | \(0.255539\pi\) | |||||||
\(182\) | 0.118164 | + | 0.821847i | 0.00875888 | + | 0.0609193i | ||||
\(183\) | −2.14434 | −0.158514 | ||||||||
\(184\) | −4.73028 | − | 0.790239i | −0.348721 | − | 0.0582572i | ||||
\(185\) | 6.99730 | 0.514452 | ||||||||
\(186\) | −0.266890 | − | 1.85626i | −0.0195693 | − | 0.136108i | ||||
\(187\) | −12.1783 | + | 26.6667i | −0.890565 | + | 1.95006i | ||||
\(188\) | −12.0000 | + | 3.52351i | −0.875188 | + | 0.256978i | ||||
\(189\) | −1.94539 | + | 2.24509i | −0.141506 | + | 0.163307i | ||||
\(190\) | −7.29702 | − | 2.14260i | −0.529381 | − | 0.155440i | ||||
\(191\) | −17.0521 | + | 10.9587i | −1.23385 | + | 0.792945i | −0.984485 | − | 0.175466i | \(-0.943857\pi\) |
−0.249360 | + | 0.968411i | \(0.580220\pi\) | |||||||
\(192\) | 0.415415 | + | 0.909632i | 0.0299800 | + | 0.0656470i | ||||
\(193\) | −1.07982 | − | 1.24618i | −0.0777274 | − | 0.0897022i | 0.715554 | − | 0.698558i | \(-0.246174\pi\) |
−0.793281 | + | 0.608855i | \(0.791629\pi\) | |||||||
\(194\) | −7.01417 | − | 4.50773i | −0.503588 | − | 0.323637i | ||||
\(195\) | 0.0397766 | − | 0.276652i | 0.00284846 | − | 0.0198115i | ||||
\(196\) | −0.259720 | + | 1.80639i | −0.0185515 | + | 0.129028i | ||||
\(197\) | 8.08523 | + | 5.19606i | 0.576048 | + | 0.370204i | 0.795991 | − | 0.605309i | \(-0.206950\pi\) |
−0.219942 | + | 0.975513i | \(0.570587\pi\) | |||||||
\(198\) | −2.93800 | − | 3.39063i | −0.208795 | − | 0.240962i | ||||
\(199\) | −5.36854 | − | 11.7555i | −0.380565 | − | 0.833322i | −0.998877 | − | 0.0473885i | \(-0.984910\pi\) |
0.618311 | − | 0.785933i | \(-0.287817\pi\) | |||||||
\(200\) | −0.841254 | + | 0.540641i | −0.0594856 | + | 0.0382291i | ||||
\(201\) | 3.48748 | + | 1.02402i | 0.245988 | + | 0.0722285i | ||||
\(202\) | 2.36321 | − | 2.72729i | 0.166275 | − | 0.191892i | ||||
\(203\) | 29.3311 | − | 8.61240i | 2.05864 | − | 0.604472i | ||||
\(204\) | 2.71446 | − | 5.94384i | 0.190050 | − | 0.416152i | ||||
\(205\) | −0.464083 | − | 3.22777i | −0.0324130 | − | 0.225437i | ||||
\(206\) | −16.0116 | −1.11558 | ||||||||
\(207\) | −4.76130 | + | 0.574445i | −0.330933 | + | 0.0399267i | ||||
\(208\) | 0.279497 | 0.0193796 | ||||||||
\(209\) | 4.85575 | + | 33.7725i | 0.335879 | + | 2.33609i | ||||
\(210\) | 1.23407 | − | 2.70223i | 0.0851587 | − | 0.186472i | ||||
\(211\) | 3.87293 | − | 1.13719i | 0.266623 | − | 0.0782877i | −0.145688 | − | 0.989331i | \(-0.546540\pi\) |
0.412312 | + | 0.911043i | \(0.364721\pi\) | |||||||
\(212\) | 1.65850 | − | 1.91401i | 0.113906 | − | 0.131455i | ||||
\(213\) | −8.57564 | − | 2.51803i | −0.587593 | − | 0.172533i | ||||
\(214\) | −12.8725 | + | 8.27264i | −0.879945 | + | 0.565506i | ||||
\(215\) | −1.39847 | − | 3.06223i | −0.0953751 | − | 0.208842i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | −4.68668 | − | 3.01195i | −0.318153 | − | 0.204464i | ||||
\(218\) | −0.853088 | + | 5.93336i | −0.0577784 | + | 0.401858i | ||||
\(219\) | −0.551643 | + | 3.83676i | −0.0372766 | + | 0.259264i | ||||
\(220\) | 3.77424 | + | 2.42556i | 0.254459 | + | 0.163531i | ||||
\(221\) | −1.19599 | − | 1.38025i | −0.0804510 | − | 0.0928454i | ||||
\(222\) | 2.90678 | + | 6.36497i | 0.195091 | + | 0.427189i | ||||
\(223\) | 24.2169 | − | 15.5632i | 1.62168 | − | 1.04219i | 0.666785 | − | 0.745250i | \(-0.267670\pi\) |
0.954896 | − | 0.296941i | \(-0.0959666\pi\) | |||||||
\(224\) | 2.85035 | + | 0.836939i | 0.190447 | + | 0.0559203i | ||||
\(225\) | −0.654861 | + | 0.755750i | −0.0436574 | + | 0.0503833i | ||||
\(226\) | −5.62297 | + | 1.65105i | −0.374034 | + | 0.109826i | ||||
\(227\) | −9.19102 | + | 20.1255i | −0.610029 | + | 1.33578i | 0.312524 | + | 0.949910i | \(0.398825\pi\) |
−0.922554 | + | 0.385868i | \(0.873902\pi\) | |||||||
\(228\) | −1.08232 | − | 7.52767i | −0.0716781 | − | 0.498532i | ||||
\(229\) | −11.9482 | −0.789561 | −0.394781 | − | 0.918775i | \(-0.629179\pi\) | ||||
−0.394781 | + | 0.918775i | \(0.629179\pi\) | |||||||
\(230\) | 4.40660 | − | 1.89259i | 0.290562 | − | 0.124794i | ||||
\(231\) | −13.3278 | −0.876907 | ||||||||
\(232\) | −1.46447 | − | 10.1856i | −0.0961472 | − | 0.668718i | ||||
\(233\) | 1.58226 | − | 3.46467i | 0.103657 | − | 0.226978i | −0.850696 | − | 0.525658i | \(-0.823819\pi\) |
0.954353 | + | 0.298680i | \(0.0965463\pi\) | |||||||
\(234\) | 0.268175 | − | 0.0787434i | 0.0175312 | − | 0.00514762i | ||||
\(235\) | 8.19007 | − | 9.45184i | 0.534261 | − | 0.616570i | ||||
\(236\) | 1.77327 | + | 0.520679i | 0.115430 | + | 0.0338933i | ||||
\(237\) | 9.73355 | − | 6.25537i | 0.632262 | − | 0.406330i | ||||
\(238\) | −8.06381 | − | 17.6573i | −0.522699 | − | 1.14455i | ||||
\(239\) | 14.5153 | + | 16.7515i | 0.938915 | + | 1.08357i | 0.996362 | + | 0.0852170i | \(0.0271583\pi\) |
−0.0574476 | + | 0.998349i | \(0.518296\pi\) | |||||||
\(240\) | −0.841254 | − | 0.540641i | −0.0543027 | − | 0.0348982i | ||||
\(241\) | −0.431211 | + | 2.99914i | −0.0277768 | + | 0.193192i | −0.998985 | − | 0.0450397i | \(-0.985659\pi\) |
0.971208 | + | 0.238231i | \(0.0765677\pi\) | |||||||
\(242\) | 1.29908 | − | 9.03531i | 0.0835081 | − | 0.580812i | ||||
\(243\) | 0.841254 | + | 0.540641i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | 1.40424 | + | 1.62058i | 0.0898974 | + | 0.103747i | ||||
\(245\) | −0.758120 | − | 1.66005i | −0.0484345 | − | 0.106057i | ||||
\(246\) | 2.74330 | − | 1.76301i | 0.174906 | − | 0.112405i | ||||
\(247\) | −2.03949 | − | 0.598850i | −0.129770 | − | 0.0381039i | ||||
\(248\) | −1.22809 | + | 1.41729i | −0.0779839 | + | 0.0899983i | ||||
\(249\) | −0.295291 | + | 0.0867053i | −0.0187133 | + | 0.00549473i | ||||
\(250\) | 0.415415 | − | 0.909632i | 0.0262732 | − | 0.0575302i | ||||
\(251\) | −2.34695 | − | 16.3234i | −0.148138 | − | 1.03033i | −0.919264 | − | 0.393642i | \(-0.871215\pi\) |
0.771125 | − | 0.636683i | \(-0.219694\pi\) | |||||||
\(252\) | 2.97069 | 0.187136 | ||||||||
\(253\) | −15.9364 | − | 14.4561i | −1.00192 | − | 0.908848i | ||||
\(254\) | −20.0383 | −1.25731 | ||||||||
\(255\) | 0.929933 | + | 6.46782i | 0.0582346 | + | 0.405031i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −17.8415 | + | 5.23875i | −1.11293 | + | 0.326784i | −0.785976 | − | 0.618258i | \(-0.787839\pi\) |
−0.326950 | + | 0.945042i | \(0.606021\pi\) | |||||||
\(258\) | 2.20455 | − | 2.54419i | 0.137250 | − | 0.158394i | ||||
\(259\) | 19.9448 | + | 5.85631i | 1.23931 | + | 0.363893i | ||||
\(260\) | −0.235128 | + | 0.151108i | −0.0145820 | + | 0.00937129i | ||||
\(261\) | −4.27477 | − | 9.36044i | −0.264601 | − | 0.579396i | ||||
\(262\) | 12.7860 | + | 14.7559i | 0.789924 | + | 0.911621i | ||||
\(263\) | 7.32566 | + | 4.70791i | 0.451719 | + | 0.290302i | 0.746651 | − | 0.665216i | \(-0.231661\pi\) |
−0.294932 | + | 0.955518i | \(0.595297\pi\) | |||||||
\(264\) | −0.638488 | + | 4.44078i | −0.0392962 | + | 0.273311i | ||||
\(265\) | −0.360426 | + | 2.50682i | −0.0221408 | + | 0.153993i | ||||
\(266\) | −19.0058 | − | 12.2143i | −1.16532 | − | 0.748908i | ||||
\(267\) | 3.07079 | + | 3.54388i | 0.187929 | + | 0.216882i | ||||
\(268\) | −1.50991 | − | 3.30625i | −0.0922326 | − | 0.201961i | ||||
\(269\) | −12.6062 | + | 8.10152i | −0.768615 | + | 0.493959i | −0.865237 | − | 0.501362i | \(-0.832832\pi\) |
0.0966228 | + | 0.995321i | \(0.469196\pi\) | |||||||
\(270\) | −0.959493 | − | 0.281733i | −0.0583929 | − | 0.0171457i | ||||
\(271\) | 12.5636 | − | 14.4992i | 0.763185 | − | 0.880763i | −0.232591 | − | 0.972575i | \(-0.574720\pi\) |
0.995776 | + | 0.0918119i | \(0.0292658\pi\) | |||||||
\(272\) | −6.26965 | + | 1.84093i | −0.380153 | + | 0.111623i | ||||
\(273\) | 0.344918 | − | 0.755265i | 0.0208754 | − | 0.0457107i | ||||
\(274\) | −2.31171 | − | 16.0783i | −0.139655 | − | 0.971325i | ||||
\(275\) | −4.48645 | −0.270543 | ||||||||
\(276\) | 3.55213 | + | 3.22217i | 0.213813 | + | 0.193952i | ||||
\(277\) | −3.36978 | −0.202470 | −0.101235 | − | 0.994863i | \(-0.532279\pi\) | ||||
−0.101235 | + | 0.994863i | \(0.532279\pi\) | |||||||
\(278\) | 1.27552 | + | 8.87145i | 0.0765007 | + | 0.532074i | ||||
\(279\) | −0.779048 | + | 1.70588i | −0.0466404 | + | 0.102128i | ||||
\(280\) | −2.85035 | + | 0.836939i | −0.170341 | + | 0.0500167i | ||||
\(281\) | −14.8022 | + | 17.0826i | −0.883025 | + | 1.01907i | 0.116640 | + | 0.993174i | \(0.462788\pi\) |
−0.999665 | + | 0.0258911i | \(0.991758\pi\) | |||||||
\(282\) | 12.0000 | + | 3.52351i | 0.714588 | + | 0.209822i | ||||
\(283\) | 0.460947 | − | 0.296233i | 0.0274005 | − | 0.0176092i | −0.526869 | − | 0.849947i | \(-0.676634\pi\) |
0.554269 | + | 0.832337i | \(0.312998\pi\) | |||||||
\(284\) | 3.71284 | + | 8.13000i | 0.220317 | + | 0.482426i | ||||
\(285\) | 4.98027 | + | 5.74753i | 0.295005 | + | 0.340454i | ||||
\(286\) | 1.05489 | + | 0.677936i | 0.0623769 | + | 0.0400872i | ||||
\(287\) | 1.37865 | − | 9.58869i | 0.0813789 | − | 0.566002i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | 21.6181 | + | 13.8931i | 1.27165 | + | 0.817243i | ||||
\(290\) | 6.73875 | + | 7.77693i | 0.395713 | + | 0.456677i | ||||
\(291\) | 3.46363 | + | 7.58430i | 0.203042 | + | 0.444599i | ||||
\(292\) | 3.26088 | − | 2.09564i | 0.190828 | − | 0.122638i | ||||
\(293\) | 13.3626 | + | 3.92360i | 0.780649 | + | 0.229219i | 0.647692 | − | 0.761903i | \(-0.275735\pi\) |
0.132957 | + | 0.991122i | \(0.457553\pi\) | |||||||
\(294\) | 1.19510 | − | 1.37922i | 0.0696997 | − | 0.0804378i | ||||
\(295\) | −1.77327 | + | 0.520679i | −0.103244 | + | 0.0303151i | ||||
\(296\) | 2.90678 | − | 6.36497i | 0.168953 | − | 0.369956i | ||||
\(297\) | 0.638488 | + | 4.44078i | 0.0370488 | + | 0.257680i | ||||
\(298\) | 21.6354 | 1.25330 | ||||||||
\(299\) | 1.23163 | − | 0.528973i | 0.0712271 | − | 0.0305913i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −1.42324 | − | 9.89886i | −0.0820343 | − | 0.570561i | ||||
\(302\) | −5.58591 | + | 12.2314i | −0.321433 | + | 0.703840i | ||||
\(303\) | −3.46255 | + | 1.01670i | −0.198918 | + | 0.0584076i | ||||
\(304\) | −4.98027 | + | 5.74753i | −0.285638 | + | 0.329644i | ||||
\(305\) | −2.05748 | − | 0.604129i | −0.117811 | − | 0.0345924i | ||||
\(306\) | −5.49703 | + | 3.53273i | −0.314244 | + | 0.201953i | ||||
\(307\) | 6.31691 | + | 13.8321i | 0.360525 | + | 0.789440i | 0.999791 | + | 0.0204542i | \(0.00651122\pi\) |
−0.639266 | + | 0.768986i | \(0.720762\pi\) | |||||||
\(308\) | 8.72787 | + | 10.0725i | 0.497317 | + | 0.573934i | ||||
\(309\) | 13.4698 | + | 8.65650i | 0.766269 | + | 0.492451i | ||||
\(310\) | 0.266890 | − | 1.85626i | 0.0151583 | − | 0.105429i | ||||
\(311\) | −1.08179 | + | 7.52400i | −0.0613426 | + | 0.426647i | 0.935889 | + | 0.352294i | \(0.114598\pi\) |
−0.997232 | + | 0.0743530i | \(0.976311\pi\) | |||||||
\(312\) | −0.235128 | − | 0.151108i | −0.0133115 | − | 0.00855478i | ||||
\(313\) | 0.697860 | + | 0.805373i | 0.0394454 | + | 0.0455224i | 0.775129 | − | 0.631802i | \(-0.217685\pi\) |
−0.735684 | + | 0.677325i | \(0.763139\pi\) | |||||||
\(314\) | −1.35566 | − | 2.96849i | −0.0765045 | − | 0.167522i | ||||
\(315\) | −2.49910 | + | 1.60607i | −0.140808 | + | 0.0904920i | ||||
\(316\) | −11.1016 | − | 3.25973i | −0.624514 | − | 0.183374i | ||||
\(317\) | 11.8276 | − | 13.6498i | 0.664306 | − | 0.766650i | −0.319168 | − | 0.947698i | \(-0.603403\pi\) |
0.983474 | + | 0.181048i | \(0.0579489\pi\) | |||||||
\(318\) | −2.43001 | + | 0.713514i | −0.136268 | + | 0.0400119i | ||||
\(319\) | 19.1785 | − | 41.9951i | 1.07379 | − | 2.35128i | ||||
\(320\) | 0.142315 | + | 0.989821i | 0.00795564 | + | 0.0553327i | ||||
\(321\) | 15.3016 | 0.854049 | ||||||||
\(322\) | 14.1443 | − | 1.70649i | 0.788233 | − | 0.0950992i | ||||
\(323\) | 49.6941 | 2.76505 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 0.116107 | − | 0.254239i | 0.00644047 | − | 0.0141027i | ||||
\(326\) | 3.97711 | − | 1.16778i | 0.220271 | − | 0.0646775i | ||||
\(327\) | 3.92548 | − | 4.53025i | 0.217080 | − | 0.250523i | ||||
\(328\) | −3.12887 | − | 0.918719i | −0.172763 | − | 0.0507278i | ||||
\(329\) | 31.2552 | − | 20.0865i | 1.72315 | − | 1.10740i | ||||
\(330\) | −1.86374 | − | 4.08102i | −0.102595 | − | 0.224653i | ||||
\(331\) | −11.9205 | − | 13.7570i | −0.655212 | − | 0.756155i | 0.326775 | − | 0.945102i | \(-0.394038\pi\) |
−0.981987 | + | 0.188947i | \(0.939493\pi\) | |||||||
\(332\) | 0.258902 | + | 0.166386i | 0.0142091 | + | 0.00913164i | ||||
\(333\) | 0.995820 | − | 6.92608i | 0.0545706 | − | 0.379547i | ||||
\(334\) | 3.39630 | − | 23.6218i | 0.185837 | − | 1.29253i | ||||
\(335\) | 3.05771 | + | 1.96507i | 0.167061 | + | 0.107363i | ||||
\(336\) | −1.94539 | − | 2.24509i | −0.106129 | − | 0.122480i | ||||
\(337\) | −9.45066 | − | 20.6940i | −0.514810 | − | 1.12728i | −0.971367 | − | 0.237583i | \(-0.923645\pi\) |
0.456557 | − | 0.889694i | \(-0.349082\pi\) | |||||||
\(338\) | 10.8706 | − | 6.98610i | 0.591282 | − | 0.379994i | ||||
\(339\) | 5.62297 | + | 1.65105i | 0.305398 | + | 0.0896728i | ||||
\(340\) | 4.27908 | − | 4.93832i | 0.232066 | − | 0.267818i | ||||
\(341\) | −8.07284 | + | 2.37040i | −0.437169 | + | 0.128364i | ||||
\(342\) | −3.15926 | + | 6.91782i | −0.170833 | + | 0.374073i | ||||
\(343\) | 2.18786 | + | 15.2169i | 0.118133 | + | 0.821636i | ||||
\(344\) | −3.36645 | −0.181507 | ||||||||
\(345\) | −4.73028 | − | 0.790239i | −0.254670 | − | 0.0425450i | ||||
\(346\) | −3.28160 | −0.176420 | ||||||||
\(347\) | −0.973313 | − | 6.76954i | −0.0522502 | − | 0.363408i | −0.999126 | − | 0.0418076i | \(-0.986688\pi\) |
0.946876 | − | 0.321600i | \(-0.104221\pi\) | |||||||
\(348\) | −4.27477 | + | 9.36044i | −0.229152 | + | 0.501772i | ||||
\(349\) | −11.2867 | + | 3.31407i | −0.604163 | + | 0.177398i | −0.569487 | − | 0.822000i | \(-0.692858\pi\) |
−0.0346761 | + | 0.999399i | \(0.511040\pi\) | |||||||
\(350\) | 1.94539 | − | 2.24509i | 0.103985 | − | 0.120005i | ||||
\(351\) | −0.268175 | − | 0.0787434i | −0.0143141 | − | 0.00420301i | ||||
\(352\) | 3.77424 | − | 2.42556i | 0.201168 | − | 0.129283i | ||||
\(353\) | 9.51396 | + | 20.8327i | 0.506377 | + | 1.10881i | 0.974344 | + | 0.225065i | \(0.0722595\pi\) |
−0.467967 | + | 0.883746i | \(0.655013\pi\) | |||||||
\(354\) | −1.21027 | − | 1.39672i | −0.0643251 | − | 0.0742351i | ||||
\(355\) | −7.51885 | − | 4.83207i | −0.399059 | − | 0.256460i | ||||
\(356\) | 0.667347 | − | 4.64150i | 0.0353693 | − | 0.245999i | ||||
\(357\) | −2.76254 | + | 19.2139i | −0.146209 | + | 1.01691i | ||||
\(358\) | 18.2731 | + | 11.7434i | 0.965766 | + | 0.620660i | ||||
\(359\) | −0.909122 | − | 1.04918i | −0.0479816 | − | 0.0553738i | 0.731251 | − | 0.682108i | \(-0.238937\pi\) |
−0.779233 | + | 0.626734i | \(0.784391\pi\) | |||||||
\(360\) | 0.415415 | + | 0.909632i | 0.0218943 | + | 0.0479418i | ||||
\(361\) | 32.6719 | − | 20.9970i | 1.71957 | − | 1.10510i | ||||
\(362\) | −9.44176 | − | 2.77235i | −0.496248 | − | 0.145711i | ||||
\(363\) | −5.97772 | + | 6.89865i | −0.313749 | + | 0.362085i | ||||
\(364\) | −0.796665 | + | 0.233922i | −0.0417566 | + | 0.0122608i | ||||
\(365\) | −1.61024 | + | 3.52593i | −0.0842837 | + | 0.184556i | ||||
\(366\) | −0.305171 | − | 2.12251i | −0.0159515 | − | 0.110945i | ||||
\(367\) | −11.0697 | −0.577833 | −0.288917 | − | 0.957354i | \(-0.593295\pi\) | ||||
−0.288917 | + | 0.957354i | \(0.593295\pi\) | |||||||
\(368\) | 0.109006 | − | 4.79459i | 0.00568235 | − | 0.249935i | ||||
\(369\) | −3.26096 | −0.169759 | ||||||||
\(370\) | 0.995820 | + | 6.92608i | 0.0517702 | + | 0.360070i | ||||
\(371\) | −3.12539 | + | 6.84365i | −0.162262 | + | 0.355305i | ||||
\(372\) | 1.79938 | − | 0.528347i | 0.0932937 | − | 0.0273935i | ||||
\(373\) | 2.66672 | − | 3.07756i | 0.138077 | − | 0.159350i | −0.682499 | − | 0.730886i | \(-0.739107\pi\) |
0.820577 | + | 0.571536i | \(0.193652\pi\) | |||||||
\(374\) | −28.1285 | − | 8.25926i | −1.45449 | − | 0.427076i | ||||
\(375\) | −0.841254 | + | 0.540641i | −0.0434421 | + | 0.0279186i | ||||
\(376\) | −5.19542 | − | 11.3764i | −0.267933 | − | 0.586692i | ||||
\(377\) | 1.88346 | + | 2.17363i | 0.0970032 | + | 0.111948i | ||||
\(378\) | −2.49910 | − | 1.60607i | −0.128540 | − | 0.0826075i | ||||
\(379\) | −3.70787 | + | 25.7888i | −0.190460 | + | 1.32468i | 0.640332 | + | 0.768099i | \(0.278797\pi\) |
−0.830792 | + | 0.556583i | \(0.812112\pi\) | |||||||
\(380\) | 1.08232 | − | 7.52767i | 0.0555216 | − | 0.386161i | ||||
\(381\) | 16.8573 | + | 10.8335i | 0.863625 | + | 0.555018i | ||||
\(382\) | −13.2739 | − | 15.3189i | −0.679154 | − | 0.783785i | ||||
\(383\) | 4.65522 | + | 10.1935i | 0.237871 | + | 0.520864i | 0.990489 | − | 0.137593i | \(-0.0439366\pi\) |
−0.752618 | + | 0.658457i | \(0.771209\pi\) | |||||||
\(384\) | −0.841254 | + | 0.540641i | −0.0429300 | + | 0.0275895i | ||||
\(385\) | −12.7880 | − | 3.75488i | −0.651735 | − | 0.191367i | ||||
\(386\) | 1.07982 | − | 1.24618i | 0.0549616 | − | 0.0634291i | ||||
\(387\) | −3.23008 | + | 0.948438i | −0.164194 | + | 0.0482118i | ||||
\(388\) | 3.46363 | − | 7.58430i | 0.175839 | − | 0.385034i | ||||
\(389\) | −5.47208 | − | 38.0592i | −0.277445 | − | 1.92968i | −0.359708 | − | 0.933065i | \(-0.617124\pi\) |
0.0822625 | − | 0.996611i | \(-0.473785\pi\) | |||||||
\(390\) | 0.279497 | 0.0141529 | ||||||||
\(391\) | −24.1437 | + | 19.9781i | −1.22100 | + | 1.01034i | ||||
\(392\) | −1.82497 | −0.0921749 | ||||||||
\(393\) | −2.77867 | − | 19.3261i | −0.140165 | − | 0.974872i | ||||
\(394\) | −3.99252 | + | 8.74241i | −0.201140 | + | 0.440436i | ||||
\(395\) | 11.1016 | − | 3.25973i | 0.558583 | − | 0.164015i | ||||
\(396\) | 2.93800 | − | 3.39063i | 0.147640 | − | 0.170386i | ||||
\(397\) | 17.9880 | + | 5.28176i | 0.902793 | + | 0.265084i | 0.700005 | − | 0.714138i | \(-0.253181\pi\) |
0.202789 | + | 0.979222i | \(0.434999\pi\) | |||||||
\(398\) | 10.8718 | − | 6.98687i | 0.544953 | − | 0.350220i | ||||
\(399\) | 9.38518 | + | 20.5507i | 0.469846 | + | 1.02882i | ||||
\(400\) | −0.654861 | − | 0.755750i | −0.0327430 | − | 0.0377875i | ||||
\(401\) | −10.5999 | − | 6.81215i | −0.529334 | − | 0.340182i | 0.248521 | − | 0.968627i | \(-0.420056\pi\) |
−0.777855 | + | 0.628444i | \(0.783692\pi\) | |||||||
\(402\) | −0.517273 | + | 3.59771i | −0.0257992 | + | 0.179438i | ||||
\(403\) | 0.0745950 | − | 0.518819i | 0.00371584 | − | 0.0258442i | ||||
\(404\) | 3.03585 | + | 1.95102i | 0.151039 | + | 0.0970671i | ||||
\(405\) | 0.654861 | + | 0.755750i | 0.0325403 | + | 0.0375535i | ||||
\(406\) | 12.6990 | + | 27.8069i | 0.630240 | + | 1.38003i | ||||
\(407\) | 26.4095 | − | 16.9724i | 1.30907 | − | 0.841288i | ||||
\(408\) | 6.26965 | + | 1.84093i | 0.310394 | + | 0.0911398i | ||||
\(409\) | −9.20203 | + | 10.6197i | −0.455011 | + | 0.525111i | −0.936182 | − | 0.351516i | \(-0.885666\pi\) |
0.481171 | + | 0.876627i | \(0.340212\pi\) | |||||||
\(410\) | 3.12887 | − | 0.918719i | 0.154524 | − | 0.0453723i | ||||
\(411\) | −6.74785 | + | 14.7757i | −0.332847 | + | 0.728833i | ||||
\(412\) | −2.27868 | − | 15.8486i | −0.112263 | − | 0.780803i | ||||
\(413\) | −5.49022 | −0.270156 | ||||||||
\(414\) | −1.24620 | − | 4.63109i | −0.0612475 | − | 0.227606i | ||||
\(415\) | −0.307758 | −0.0151072 | ||||||||
\(416\) | 0.0397766 | + | 0.276652i | 0.00195021 | + | 0.0135640i | ||||
\(417\) | 3.72323 | − | 8.15274i | 0.182327 | − | 0.399241i | ||||
\(418\) | −32.7377 | + | 9.61265i | −1.60125 | + | 0.470170i | ||||
\(419\) | 13.2578 | − | 15.3003i | 0.647684 | − | 0.747467i | −0.333030 | − | 0.942916i | \(-0.608071\pi\) |
0.980714 | + | 0.195449i | \(0.0626165\pi\) | |||||||
\(420\) | 2.85035 | + | 0.836939i | 0.139083 | + | 0.0408384i | ||||
\(421\) | 31.2210 | − | 20.0645i | 1.52162 | − | 0.977883i | 0.530095 | − | 0.847938i | \(-0.322156\pi\) |
0.991521 | − | 0.129945i | \(-0.0414802\pi\) | |||||||
\(422\) | 1.67679 | + | 3.67167i | 0.0816251 | + | 0.178734i | ||||
\(423\) | −8.19007 | − | 9.45184i | −0.398215 | − | 0.459564i | ||||
\(424\) | 2.13055 | + | 1.36922i | 0.103469 | + | 0.0664954i | ||||
\(425\) | −0.929933 | + | 6.46782i | −0.0451084 | + | 0.313736i | ||||
\(426\) | 1.27196 | − | 8.84670i | 0.0616269 | − | 0.428624i | ||||
\(427\) | −5.35891 | − | 3.44396i | −0.259336 | − | 0.166665i | ||||
\(428\) | −10.0204 | − | 11.5641i | −0.484354 | − | 0.558974i | ||||
\(429\) | −0.520909 | − | 1.14063i | −0.0251497 | − | 0.0550703i | ||||
\(430\) | 2.83204 | − | 1.82004i | 0.136573 | − | 0.0877701i | ||||
\(431\) | 16.9649 | + | 4.98135i | 0.817171 | + | 0.239943i | 0.663497 | − | 0.748179i | \(-0.269071\pi\) |
0.153674 | + | 0.988122i | \(0.450890\pi\) | |||||||
\(432\) | −0.654861 | + | 0.755750i | −0.0315070 | + | 0.0363610i | ||||
\(433\) | 13.5810 | − | 3.98774i | 0.652661 | − | 0.191638i | 0.0613928 | − | 0.998114i | \(-0.480446\pi\) |
0.591268 | + | 0.806475i | \(0.298628\pi\) | |||||||
\(434\) | 2.31431 | − | 5.06762i | 0.111090 | − | 0.243254i | ||||
\(435\) | −1.46447 | − | 10.1856i | −0.0702160 | − | 0.488363i | ||||
\(436\) | −5.99437 | −0.287078 | ||||||||
\(437\) | −11.0683 | + | 34.7527i | −0.529469 | + | 1.66245i | ||||
\(438\) | −3.87621 | −0.185213 | ||||||||
\(439\) | 1.28351 | + | 8.92700i | 0.0612586 | + | 0.426063i | 0.997254 | + | 0.0740516i | \(0.0235930\pi\) |
−0.935996 | + | 0.352011i | \(0.885498\pi\) | |||||||
\(440\) | −1.86374 | + | 4.08102i | −0.0888502 | + | 0.194555i | ||||
\(441\) | −1.75105 | + | 0.514154i | −0.0833832 | + | 0.0244835i | ||||
\(442\) | 1.19599 | − | 1.38025i | 0.0568874 | − | 0.0656516i | ||||
\(443\) | 30.0237 | + | 8.81575i | 1.42647 | + | 0.418849i | 0.901688 | − | 0.432388i | \(-0.142329\pi\) |
0.524781 | + | 0.851237i | \(0.324147\pi\) | |||||||
\(444\) | −5.88650 | + | 3.78303i | −0.279361 | + | 0.179534i | ||||
\(445\) | 1.94798 | + | 4.26547i | 0.0923429 | + | 0.202203i | ||||
\(446\) | 18.8512 | + | 21.7555i | 0.892632 | + | 1.03015i | ||||
\(447\) | −18.2008 | − | 11.6970i | −0.860871 | − | 0.553248i | ||||
\(448\) | −0.422773 | + | 2.94045i | −0.0199741 | + | 0.138923i | ||||
\(449\) | −1.85041 | + | 12.8699i | −0.0873264 | + | 0.607369i | 0.898421 | + | 0.439136i | \(0.144715\pi\) |
−0.985747 | + | 0.168233i | \(0.946194\pi\) | |||||||
\(450\) | −0.841254 | − | 0.540641i | −0.0396571 | − | 0.0254861i | ||||
\(451\) | −9.58071 | − | 11.0567i | −0.451138 | − | 0.520641i | ||||
\(452\) | −2.43448 | − | 5.33076i | −0.114508 | − | 0.250738i | ||||
\(453\) | 11.3120 | − | 7.26977i | 0.531483 | − | 0.341564i | ||||
\(454\) | −21.2287 | − | 6.23331i | −0.996312 | − | 0.292544i | ||||
\(455\) | 0.543729 | − | 0.627497i | 0.0254904 | − | 0.0294175i | ||||
\(456\) | 7.29702 | − | 2.14260i | 0.341714 | − | 0.100336i | ||||
\(457\) | 3.22525 | − | 7.06232i | 0.150871 | − | 0.330362i | −0.819073 | − | 0.573689i | \(-0.805512\pi\) |
0.969944 | + | 0.243328i | \(0.0782390\pi\) | |||||||
\(458\) | −1.70041 | − | 11.8266i | −0.0794550 | − | 0.552621i | ||||
\(459\) | 6.53433 | 0.304997 | ||||||||
\(460\) | 2.50045 | + | 4.09240i | 0.116584 | + | 0.190809i | ||||
\(461\) | −10.1981 | −0.474971 | −0.237485 | − | 0.971391i | \(-0.576323\pi\) | ||||
−0.237485 | + | 0.971391i | \(0.576323\pi\) | |||||||
\(462\) | −1.89675 | − | 13.1922i | −0.0882447 | − | 0.613755i | ||||
\(463\) | −11.2194 | + | 24.5670i | −0.521408 | + | 1.14172i | 0.447496 | + | 0.894286i | \(0.352316\pi\) |
−0.968904 | + | 0.247437i | \(0.920412\pi\) | |||||||
\(464\) | 9.87352 | − | 2.89913i | 0.458367 | − | 0.134589i | ||||
\(465\) | −1.22809 | + | 1.41729i | −0.0569514 | + | 0.0657254i | ||||
\(466\) | 3.65459 | + | 1.07308i | 0.169295 | + | 0.0497096i | ||||
\(467\) | 22.1513 | − | 14.2357i | 1.02504 | − | 0.658752i | 0.0837952 | − | 0.996483i | \(-0.473296\pi\) |
0.941243 | + | 0.337731i | \(0.109659\pi\) | |||||||
\(468\) | 0.116107 | + | 0.254239i | 0.00536706 | + | 0.0117522i | ||||
\(469\) | 7.07091 | + | 8.16027i | 0.326504 | + | 0.376806i | ||||
\(470\) | 10.5212 | + | 6.76157i | 0.485307 | + | 0.311888i | ||||
\(471\) | −0.464430 | + | 3.23018i | −0.0213998 | + | 0.148839i | ||||
\(472\) | −0.263017 | + | 1.82932i | −0.0121063 | + | 0.0842013i | ||||
\(473\) | −12.7058 | − | 8.16551i | −0.584213 | − | 0.375451i | ||||
\(474\) | 7.57693 | + | 8.74424i | 0.348020 | + | 0.401636i | ||||
\(475\) | 3.15926 | + | 6.91782i | 0.144957 | + | 0.317411i | ||||
\(476\) | 16.3299 | − | 10.4946i | 0.748482 | − | 0.481020i | ||||
\(477\) | 2.43001 | + | 0.713514i | 0.111262 | + | 0.0326696i | ||||
\(478\) | −14.5153 | + | 16.7515i | −0.663913 | + | 0.766197i | ||||
\(479\) | −18.7612 | + | 5.50879i | −0.857222 | + | 0.251703i | −0.680672 | − | 0.732589i | \(-0.738312\pi\) |
−0.176550 | + | 0.984292i | \(0.556494\pi\) | |||||||
\(480\) | 0.415415 | − | 0.909632i | 0.0189610 | − | 0.0415188i | ||||
\(481\) | 0.278329 | + | 1.93582i | 0.0126907 | + | 0.0882657i | ||||
\(482\) | −3.02998 | −0.138012 | ||||||||
\(483\) | −12.8216 | − | 6.21141i | −0.583402 | − | 0.282629i | ||||
\(484\) | 9.12822 | 0.414919 | ||||||||
\(485\) | 1.18659 | + | 8.25290i | 0.0538802 | + | 0.374745i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | −26.6834 | + | 7.83496i | −1.20914 | + | 0.355036i | −0.823341 | − | 0.567547i | \(-0.807893\pi\) |
−0.385800 | + | 0.922582i | \(0.626075\pi\) | |||||||
\(488\) | −1.40424 | + | 1.62058i | −0.0635670 | + | 0.0733603i | ||||
\(489\) | −3.97711 | − | 1.16778i | −0.179851 | − | 0.0528090i | ||||
\(490\) | 1.53526 | − | 0.986654i | 0.0693561 | − | 0.0445725i | ||||
\(491\) | 0.662772 | + | 1.45127i | 0.0299105 | + | 0.0654948i | 0.923998 | − | 0.382398i | \(-0.124902\pi\) |
−0.894087 | + | 0.447893i | \(0.852175\pi\) | |||||||
\(492\) | 2.13548 | + | 2.46447i | 0.0962747 | + | 0.111107i | ||||
\(493\) | −56.5664 | − | 36.3530i | −2.54762 | − | 1.63726i | ||||
\(494\) | 0.302504 | − | 2.10396i | 0.0136103 | − | 0.0946617i | ||||
\(495\) | −0.638488 | + | 4.44078i | −0.0286979 | + | 0.199598i | ||||
\(496\) | −1.57764 | − | 1.01389i | −0.0708383 | − | 0.0455250i | ||||
\(497\) | −17.3872 | − | 20.0659i | −0.779923 | − | 0.900080i | ||||
\(498\) | −0.127847 | − | 0.279946i | −0.00572897 | − | 0.0125447i | ||||
\(499\) | 3.49793 | − | 2.24799i | 0.156589 | − | 0.100634i | −0.460000 | − | 0.887919i | \(-0.652151\pi\) |
0.616589 | + | 0.787285i | \(0.288514\pi\) | |||||||
\(500\) | 0.959493 | + | 0.281733i | 0.0429098 | + | 0.0125995i | ||||
\(501\) | −15.6280 | + | 18.0357i | −0.698210 | + | 0.805777i | ||||
\(502\) | 15.8233 | − | 4.64613i | 0.706227 | − | 0.207367i | ||||
\(503\) | 12.7028 | − | 27.8153i | 0.566391 | − | 1.24022i | −0.382306 | − | 0.924036i | \(-0.624870\pi\) |
0.948697 | − | 0.316187i | \(-0.102403\pi\) | |||||||
\(504\) | 0.422773 | + | 2.94045i | 0.0188318 | + | 0.130978i | ||||
\(505\) | −3.60873 | −0.160586 | ||||||||
\(506\) | 12.0410 | − | 17.8315i | 0.535287 | − | 0.792709i | ||||
\(507\) | −12.9219 | −0.573881 | ||||||||
\(508\) | −2.85175 | − | 19.8343i | −0.126526 | − | 0.880007i | ||||
\(509\) | −14.4996 | + | 31.7497i | −0.642684 | + | 1.40728i | 0.255130 | + | 0.966907i | \(0.417882\pi\) |
−0.897814 | + | 0.440375i | \(0.854845\pi\) | |||||||
\(510\) | −6.26965 | + | 1.84093i | −0.277625 | + | 0.0815180i | ||||
\(511\) | −7.54073 | + | 8.70246i | −0.333582 | + | 0.384974i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | 6.39780 | − | 4.11161i | 0.282470 | − | 0.181532i | ||||
\(514\) | −7.72454 | − | 16.9144i | −0.340715 | − | 0.746062i | ||||
\(515\) | 10.4853 | + | 12.1007i | 0.462039 | + | 0.533222i | ||||
\(516\) | 2.83204 | + | 1.82004i | 0.124673 | + | 0.0801227i | ||||
\(517\) | 7.98531 | − | 55.5390i | 0.351193 | − | 2.44260i | ||||
\(518\) | −2.95827 | + | 20.5752i | −0.129979 | + | 0.904022i | ||||
\(519\) | 2.76066 | + | 1.77417i | 0.121180 | + | 0.0778774i | ||||
\(520\) | −0.183032 | − | 0.211230i | −0.00802647 | − | 0.00926304i | ||||
\(521\) | −0.267108 | − | 0.584884i | −0.0117022 | − | 0.0256242i | 0.903691 | − | 0.428186i | \(-0.140847\pi\) |
−0.915393 | + | 0.402562i | \(0.868120\pi\) | |||||||
\(522\) | 8.65680 | − | 5.56339i | 0.378898 | − | 0.243503i | ||||
\(523\) | −23.0050 | − | 6.75487i | −1.00594 | − | 0.295370i | −0.263047 | − | 0.964783i | \(-0.584727\pi\) |
−0.742890 | + | 0.669413i | \(0.766546\pi\) | |||||||
\(524\) | −12.7860 | + | 14.7559i | −0.558560 | + | 0.644613i | ||||
\(525\) | −2.85035 | + | 0.836939i | −0.124400 | + | 0.0365270i | ||||
\(526\) | −3.61744 | + | 7.92110i | −0.157728 | + | 0.345376i | ||||
\(527\) | 1.74395 | + | 12.1294i | 0.0759676 | + | 0.528366i | ||||
\(528\) | −4.48645 | −0.195248 | ||||||||
\(529\) | −8.59385 | − | 21.3341i | −0.373646 | − | 0.927572i | ||||
\(530\) | −2.53259 | −0.110009 | ||||||||
\(531\) | 0.263017 | + | 1.82932i | 0.0114139 | + | 0.0793857i | ||||
\(532\) | 9.38518 | − | 20.5507i | 0.406899 | − | 0.890984i | ||||
\(533\) | 0.874510 | − | 0.256779i | 0.0378792 | − | 0.0111223i | ||||
\(534\) | −3.07079 | + | 3.54388i | −0.132886 | + | 0.153359i | ||||
\(535\) | 14.6817 | + | 4.31095i | 0.634747 | + | 0.186378i | ||||
\(536\) | 3.05771 | − | 1.96507i | 0.132073 | − | 0.0848782i | ||||
\(537\) | −9.02337 | − | 19.7584i | −0.389387 | − | 0.852639i | ||||
\(538\) | −9.81311 | − | 11.3249i | −0.423073 | − | 0.488253i | ||||
\(539\) | −6.88788 | − | 4.42657i | −0.296682 | − | 0.190666i | ||||
\(540\) | 0.142315 | − | 0.989821i | 0.00612426 | − | 0.0425951i | ||||
\(541\) | 1.44640 | − | 10.0600i | 0.0621857 | − | 0.432511i | −0.934816 | − | 0.355132i | \(-0.884436\pi\) |
0.997002 | − | 0.0773789i | \(-0.0246551\pi\) | |||||||
\(542\) | 16.1396 | + | 10.3723i | 0.693255 | + | 0.445528i | ||||
\(543\) | 6.44407 | + | 7.43685i | 0.276541 | + | 0.319146i | ||||
\(544\) | −2.71446 | − | 5.94384i | −0.116382 | − | 0.254840i | ||||
\(545\) | 5.04279 | − | 3.24080i | 0.216009 | − | 0.138821i | ||||
\(546\) | 0.796665 | + | 0.233922i | 0.0340941 | + | 0.0100109i | ||||
\(547\) | −19.0726 | + | 22.0109i | −0.815485 | + | 0.941120i | −0.999123 | − | 0.0418738i | \(-0.986667\pi\) |
0.183638 | + | 0.982994i | \(0.441213\pi\) | |||||||
\(548\) | 15.5856 | − | 4.57636i | 0.665786 | − | 0.195492i | ||||
\(549\) | −0.890790 | + | 1.95056i | −0.0380180 | + | 0.0832478i | ||||
\(550\) | −0.638488 | − | 4.44078i | −0.0272252 | − | 0.189356i | ||||
\(551\) | −78.2589 | −3.33394 | ||||||||
\(552\) | −2.68385 | + | 3.97453i | −0.114232 | + | 0.169167i | ||||
\(553\) | 34.3717 | 1.46163 | ||||||||
\(554\) | −0.479570 | − | 3.33548i | −0.0203750 | − | 0.141711i | ||||
\(555\) | 2.90678 | − | 6.36497i | 0.123386 | − | 0.270178i | ||||
\(556\) | −8.59963 | + | 2.52508i | −0.364705 | + | 0.107087i | ||||
\(557\) | −15.4589 | + | 17.8405i | −0.655014 | + | 0.755926i | −0.981954 | − | 0.189119i | \(-0.939437\pi\) |
0.326941 | + | 0.945045i | \(0.393982\pi\) | |||||||
\(558\) | −1.79938 | − | 0.528347i | −0.0761740 | − | 0.0223667i | ||||
\(559\) | 0.791546 | − | 0.508696i | 0.0334788 | − | 0.0215155i | ||||
\(560\) | −1.23407 | − | 2.70223i | −0.0521489 | − | 0.114190i | ||||
\(561\) | 19.1979 | + | 22.1555i | 0.810535 | + | 0.935407i | ||||
\(562\) | −19.0153 | − | 12.2204i | −0.802114 | − | 0.515487i | ||||
\(563\) | 2.38606 | − | 16.5954i | 0.100560 | − | 0.699412i | −0.875707 | − | 0.482843i | \(-0.839604\pi\) |
0.976267 | − | 0.216569i | \(-0.0694867\pi\) | |||||||
\(564\) | −1.77987 | + | 12.3793i | −0.0749461 | + | 0.521262i | ||||
\(565\) | 4.93004 | + | 3.16834i | 0.207408 | + | 0.133293i | ||||
\(566\) | 0.358817 | + | 0.414097i | 0.0150822 | + | 0.0174058i | ||||
\(567\) | 1.23407 | + | 2.70223i | 0.0518260 | + | 0.113483i | ||||
\(568\) | −7.51885 | + | 4.83207i | −0.315484 | + | 0.202749i | ||||
\(569\) | −18.7055 | − | 5.49242i | −0.784174 | − | 0.230254i | −0.134951 | − | 0.990852i | \(-0.543088\pi\) |
−0.649223 | + | 0.760598i | \(0.724906\pi\) | |||||||
\(570\) | −4.98027 | + | 5.74753i | −0.208600 | + | 0.240738i | ||||
\(571\) | 0.515435 | − | 0.151345i | 0.0215703 | − | 0.00633361i | −0.270930 | − | 0.962599i | \(-0.587331\pi\) |
0.292500 | + | 0.956266i | \(0.405513\pi\) | |||||||
\(572\) | −0.520909 | + | 1.14063i | −0.0217803 | + | 0.0476922i | ||||
\(573\) | 2.88470 | + | 20.0635i | 0.120510 | + | 0.838166i | ||||
\(574\) | 9.68729 | 0.404340 | ||||||||
\(575\) | −4.31603 | − | 2.09090i | −0.179991 | − | 0.0871966i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −0.479031 | − | 3.33174i | −0.0199423 | − | 0.138702i | 0.977418 | − | 0.211316i | \(-0.0677749\pi\) |
−0.997360 | + | 0.0726141i | \(0.976866\pi\) | |||||||
\(578\) | −10.6751 | + | 23.3753i | −0.444027 | + | 0.972284i | ||||
\(579\) | −1.58214 | + | 0.464559i | −0.0657516 | + | 0.0193064i | ||||
\(580\) | −6.73875 | + | 7.77693i | −0.279811 | + | 0.322919i | ||||
\(581\) | −0.877217 | − | 0.257574i | −0.0363931 | − | 0.0106860i | ||||
\(582\) | −7.01417 | + | 4.50773i | −0.290747 | + | 0.186852i | ||||
\(583\) | 4.72009 | + | 10.3356i | 0.195486 | + | 0.428055i | ||||
\(584\) | 2.53838 | + | 2.92945i | 0.105039 | + | 0.121221i | ||||
\(585\) | −0.235128 | − | 0.151108i | −0.00972134 | − | 0.00624753i | ||||
\(586\) | −1.98197 | + | 13.7849i | −0.0818746 | + | 0.569450i | ||||
\(587\) | 3.05647 | − | 21.2582i | 0.126154 | − | 0.877419i | −0.824211 | − | 0.566282i | \(-0.808381\pi\) |
0.950365 | − | 0.311137i | \(-0.100710\pi\) | |||||||
\(588\) | 1.53526 | + | 0.986654i | 0.0633132 | + | 0.0406889i | ||||
\(589\) | 9.33974 | + | 10.7786i | 0.384837 | + | 0.444126i | ||||
\(590\) | −0.767742 | − | 1.68112i | −0.0316074 | − | 0.0692106i | ||||
\(591\) | 8.08523 | − | 5.19606i | 0.332582 | − | 0.213737i | ||||
\(592\) | 6.71386 | + | 1.97137i | 0.275938 | + | 0.0810227i | ||||
\(593\) | −21.4953 | + | 24.8069i | −0.882705 | + | 1.01870i | 0.116969 | + | 0.993136i | \(0.462682\pi\) |
−0.999673 | + | 0.0255599i | \(0.991863\pi\) | |||||||
\(594\) | −4.30472 | + | 1.26398i | −0.176625 | + | 0.0518617i | ||||
\(595\) | −8.06381 | + | 17.6573i | −0.330584 | + | 0.723878i | ||||
\(596\) | 3.07904 | + | 21.4152i | 0.126122 | + | 0.877200i | ||||
\(597\) | −12.9233 | −0.528916 | ||||||||
\(598\) | 0.698869 | + | 1.14381i | 0.0285789 | + | 0.0467740i | ||||
\(599\) | −5.07987 | −0.207558 | −0.103779 | − | 0.994600i | \(-0.533093\pi\) | ||||
−0.103779 | + | 0.994600i | \(0.533093\pi\) | |||||||
\(600\) | 0.142315 | + | 0.989821i | 0.00580998 | + | 0.0404093i | ||||
\(601\) | 8.99280 | − | 19.6915i | 0.366824 | − | 0.803232i | −0.632759 | − | 0.774349i | \(-0.718078\pi\) |
0.999583 | − | 0.0288835i | \(-0.00919519\pi\) | |||||||
\(602\) | 9.59556 | − | 2.81751i | 0.391086 | − | 0.114833i | ||||
\(603\) | 2.38023 | − | 2.74693i | 0.0969304 | − | 0.111864i | ||||
\(604\) | −12.9019 | − | 3.78834i | −0.524971 | − | 0.154145i | ||||
\(605\) | −7.67915 | + | 4.93509i | −0.312202 | + | 0.200640i | ||||
\(606\) | −1.49912 | − | 3.28261i | −0.0608975 | − | 0.133347i | ||||
\(607\) | 4.27230 | + | 4.93049i | 0.173407 | + | 0.200123i | 0.835800 | − | 0.549034i | \(-0.185004\pi\) |
−0.662393 | + | 0.749157i | \(0.730459\pi\) | |||||||
\(608\) | −6.39780 | − | 4.11161i | −0.259465 | − | 0.166748i | ||||
\(609\) | 4.35048 | − | 30.2582i | 0.176290 | − | 1.22613i | ||||
\(610\) | 0.305171 | − | 2.12251i | 0.0123560 | − | 0.0859379i | ||||
\(611\) | 2.94065 | + | 1.88984i | 0.118966 | + | 0.0764547i | ||||
\(612\) | −4.27908 | − | 4.93832i | −0.172971 | − | 0.199620i | ||||
\(613\) | 9.10291 | + | 19.9326i | 0.367663 | + | 0.805070i | 0.999550 | + | 0.0300090i | \(0.00955361\pi\) |
−0.631886 | + | 0.775061i | \(0.717719\pi\) | |||||||
\(614\) | −12.7923 | + | 8.22113i | −0.516256 | + | 0.331778i | ||||
\(615\) | −3.12887 | − | 0.918719i | −0.126168 | − | 0.0370463i | ||||
\(616\) | −8.72787 | + | 10.0725i | −0.351656 | + | 0.405833i | ||||
\(617\) | −34.3321 | + | 10.0808i | −1.38216 | + | 0.405838i | −0.886520 | − | 0.462691i | \(-0.846884\pi\) |
−0.495638 | + | 0.868529i | \(0.665066\pi\) | |||||||
\(618\) | −6.65144 | + | 14.5646i | −0.267560 | + | 0.585875i | ||||
\(619\) | −2.04864 | − | 14.2486i | −0.0823417 | − | 0.572699i | −0.988668 | − | 0.150120i | \(-0.952034\pi\) |
0.906326 | − | 0.422579i | \(-0.138875\pi\) | |||||||
\(620\) | 1.87535 | 0.0753158 | ||||||||
\(621\) | −1.45538 | + | 4.56967i | −0.0584025 | + | 0.183374i | ||||
\(622\) | −7.60137 | −0.304787 | ||||||||
\(623\) | 1.98248 | + | 13.7884i | 0.0794263 | + | 0.552422i | ||||
\(624\) | 0.116107 | − | 0.254239i | 0.00464801 | − | 0.0101777i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −0.697860 | + | 0.805373i | −0.0278921 | + | 0.0321892i | ||||
\(627\) | 32.7377 | + | 9.61265i | 1.30742 | + | 0.383892i | ||||
\(628\) | 2.74534 | − | 1.76432i | 0.109551 | − | 0.0704042i | ||||
\(629\) | −18.9939 | − | 41.5908i | −0.757336 | − | 1.65833i | ||||
\(630\) | −1.94539 | − | 2.24509i | −0.0775060 | − | 0.0894467i | ||||
\(631\) | −38.3194 | − | 24.6264i | −1.52547 | − | 0.980362i | −0.990805 | − | 0.135300i | \(-0.956800\pi\) |
−0.534668 | − | 0.845062i | \(-0.679563\pi\) | |||||||
\(632\) | 1.64662 | − | 11.4525i | 0.0654992 | − | 0.455557i | ||||
\(633\) | 0.574444 | − | 3.99535i | 0.0228321 | − | 0.158801i | ||||
\(634\) | 15.1941 | + | 9.76468i | 0.603436 | + | 0.387805i | ||||
\(635\) | 13.1223 | + | 15.1439i | 0.520743 | + | 0.600969i | ||||
\(636\) | −1.05208 | − | 2.30373i | −0.0417176 | − | 0.0913488i | ||||
\(637\) | 0.429101 | − | 0.275767i | 0.0170016 | − | 0.0109263i | ||||
\(638\) | 44.2971 | + | 13.0068i | 1.75374 | + | 0.514944i | ||||
\(639\) | −5.85293 | + | 6.75464i | −0.231538 | + | 0.267210i | ||||
\(640\) | −0.959493 | + | 0.281733i | −0.0379273 | + | 0.0111365i | ||||
\(641\) | −9.53784 | + | 20.8849i | −0.376722 | + | 0.824906i | 0.622387 | + | 0.782709i | \(0.286163\pi\) |
−0.999109 | + | 0.0421966i | \(0.986564\pi\) | |||||||
\(642\) | 2.17764 | + | 15.1458i | 0.0859445 | + | 0.597757i | ||||
\(643\) | −5.03018 | −0.198371 | −0.0991854 | − | 0.995069i | \(-0.531624\pi\) | ||||
−0.0991854 | + | 0.995069i | \(0.531624\pi\) | |||||||
\(644\) | 3.70207 | + | 13.7575i | 0.145882 | + | 0.542122i | ||||
\(645\) | −3.36645 | −0.132554 | ||||||||
\(646\) | 7.07221 | + | 49.1883i | 0.278252 | + | 1.93529i | ||||
\(647\) | 18.0955 | − | 39.6236i | 0.711408 | − | 1.55777i | −0.114160 | − | 0.993462i | \(-0.536418\pi\) |
0.825567 | − | 0.564303i | \(-0.190855\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | −5.42981 | + | 6.26633i | −0.213139 | + | 0.245975i | ||||
\(650\) | 0.268175 | + | 0.0787434i | 0.0105187 | + | 0.00308857i | ||||
\(651\) | −4.68668 | + | 3.01195i | −0.183686 | + | 0.118048i | ||||
\(652\) | 1.72190 | + | 3.77043i | 0.0674347 | + | 0.147661i | ||||
\(653\) | −14.0683 | − | 16.2356i | −0.550534 | − | 0.635350i | 0.410474 | − | 0.911873i | \(-0.365363\pi\) |
−0.961007 | + | 0.276523i | \(0.910818\pi\) | |||||||
\(654\) | 5.04279 | + | 3.24080i | 0.197189 | + | 0.126725i | ||||
\(655\) | 2.77867 | − | 19.3261i | 0.108572 | − | 0.755132i | ||||
\(656\) | 0.464083 | − | 3.22777i | 0.0181194 | − | 0.126023i | ||||
\(657\) | 3.26088 | + | 2.09564i | 0.127219 | + | 0.0817587i | ||||
\(658\) | 24.3301 | + | 28.0785i | 0.948487 | + | 1.09461i | ||||
\(659\) | 14.9972 | + | 32.8393i | 0.584208 | + | 1.27924i | 0.938879 | + | 0.344246i | \(0.111866\pi\) |
−0.354671 | + | 0.934991i | \(0.615407\pi\) | |||||||
\(660\) | 3.77424 | − | 2.42556i | 0.146912 | − | 0.0944147i | ||||
\(661\) | 19.4801 | + | 5.71988i | 0.757689 | + | 0.222478i | 0.637687 | − | 0.770296i | \(-0.279891\pi\) |
0.120003 | + | 0.992774i | \(0.461710\pi\) | |||||||
\(662\) | 11.9205 | − | 13.7570i | 0.463305 | − | 0.534683i | ||||
\(663\) | −1.75235 | + | 0.514536i | −0.0680556 | + | 0.0199829i | ||||
\(664\) | −0.127847 | + | 0.279946i | −0.00496143 | + | 0.0108640i | ||||
\(665\) | 3.21522 | + | 22.3623i | 0.124681 | + | 0.867174i | ||||
\(666\) | 6.99730 | 0.271140 | ||||||||
\(667\) | 38.0218 | − | 31.4618i | 1.47221 | − | 1.21821i | ||||
\(668\) | 23.8647 | 0.923352 | ||||||||
\(669\) | −4.09677 | − | 28.4936i | −0.158390 | − | 1.10163i | ||||
\(670\) | −1.50991 | + | 3.30625i | −0.0583330 | + | 0.127732i | ||||
\(671\) | −9.23076 | + | 2.71040i | −0.356350 | + | 0.104634i | ||||
\(672\) | 1.94539 | − | 2.24509i | 0.0750449 | − | 0.0866064i | ||||
\(673\) | −29.3016 | − | 8.60374i | −1.12949 | − | 0.331650i | −0.336986 | − | 0.941510i | \(-0.609407\pi\) |
−0.792509 | + | 0.609860i | \(0.791226\pi\) | |||||||
\(674\) | 19.1384 | − | 12.2995i | 0.737185 | − | 0.473760i | ||||
\(675\) | 0.415415 | + | 0.909632i | 0.0159893 | + | 0.0350118i | ||||
\(676\) | 8.46203 | + | 9.76571i | 0.325463 | + | 0.375604i | ||||
\(677\) | 38.1023 | + | 24.4869i | 1.46439 | + | 0.941107i | 0.998413 | + | 0.0563108i | \(0.0179338\pi\) |
0.465978 | + | 0.884796i | \(0.345703\pi\) | |||||||
\(678\) | −0.834015 | + | 5.80070i | −0.0320301 | + | 0.222775i | ||||
\(679\) | −3.52498 | + | 24.5168i | −0.135276 | + | 0.940867i | ||||
\(680\) | 5.49703 | + | 3.53273i | 0.210802 | + | 0.135474i | ||||
\(681\) | 14.4887 | + | 16.7209i | 0.555210 | + | 0.640746i | ||||
\(682\) | −3.49516 | − | 7.65333i | −0.133837 | − | 0.293061i | ||||
\(683\) | −1.47171 | + | 0.945813i | −0.0563136 | + | 0.0361905i | −0.568495 | − | 0.822687i | \(-0.692474\pi\) |
0.512181 | + | 0.858877i | \(0.328838\pi\) | |||||||
\(684\) | −7.29702 | − | 2.14260i | −0.279008 | − | 0.0819243i | ||||
\(685\) | −10.6373 | + | 12.2761i | −0.406431 | + | 0.469046i | ||||
\(686\) | −14.7507 | + | 4.33118i | −0.563183 | + | 0.165365i | ||||
\(687\) | −4.96347 | + | 10.8685i | −0.189368 | + | 0.414659i | ||||
\(688\) | −0.479095 | − | 3.33218i | −0.0182653 | − | 0.127038i | ||||
\(689\) | −0.707853 | −0.0269670 | ||||||||
\(690\) | 0.109006 | − | 4.79459i | 0.00414980 | − | 0.182527i | ||||
\(691\) | 19.1652 | 0.729078 | 0.364539 | − | 0.931188i | \(-0.381227\pi\) | ||||
0.364539 | + | 0.931188i | \(0.381227\pi\) | |||||||
\(692\) | −0.467021 | − | 3.24820i | −0.0177535 | − | 0.123478i | ||||
\(693\) | −5.53658 | + | 12.1234i | −0.210317 | + | 0.460531i | ||||
\(694\) | 6.56212 | − | 1.92681i | 0.249095 | − | 0.0731408i | ||||
\(695\) | 5.86931 | − | 6.77354i | 0.222636 | − | 0.256935i | ||||
\(696\) | −9.87352 | − | 2.89913i | −0.374255 | − | 0.109891i | ||||
\(697\) | −17.9256 | + | 11.5201i | −0.678981 | + | 0.436355i | ||||
\(698\) | −4.88661 | − | 10.7002i | −0.184961 | − | 0.405008i | ||||
\(699\) | −2.49428 | − | 2.87855i | −0.0943423 | − | 0.108877i | ||||
\(700\) | 2.49910 | + | 1.60607i | 0.0944571 | + | 0.0607039i | ||||
\(701\) | −2.89601 | + | 20.1422i | −0.109381 | + | 0.760760i | 0.859125 | + | 0.511767i | \(0.171009\pi\) |
−0.968505 | + | 0.248993i | \(0.919900\pi\) | |||||||
\(702\) | 0.0397766 | − | 0.276652i | 0.00150127 | − | 0.0104416i | ||||
\(703\) | −44.7673 | − | 28.7702i | −1.68843 | − | 1.08509i | ||||
\(704\) | 2.93800 | + | 3.39063i | 0.110730 | + | 0.127789i | ||||
\(705\) | −5.19542 | − | 11.3764i | −0.195671 | − | 0.428460i | ||||
\(706\) | −19.2666 | + | 12.3819i | −0.725110 | + | 0.466000i | ||||
\(707\) | −10.2861 | − | 3.02028i | −0.386850 | − | 0.113589i | ||||
\(708\) | 1.21027 | − | 1.39672i | 0.0454847 | − | 0.0524921i | ||||
\(709\) | 25.1246 | − | 7.37723i | 0.943572 | − | 0.277058i | 0.226464 | − | 0.974020i | \(-0.427283\pi\) |
0.717108 | + | 0.696962i | \(0.245465\pi\) | |||||||
\(710\) | 3.71284 | − | 8.13000i | 0.139341 | − | 0.305113i | ||||
\(711\) | −1.64662 | − | 11.4525i | −0.0617532 | − | 0.429503i | ||||
\(712\) | 4.68923 | 0.175736 | ||||||||
\(713\) | −8.87092 | − | 1.48197i | −0.332219 | − | 0.0555003i | ||||
\(714\) | −19.4114 | −0.726455 | ||||||||
\(715\) | −0.178456 | − | 1.24119i | −0.00667386 | − | 0.0464177i | ||||
\(716\) | −9.02337 | + | 19.7584i | −0.337219 | + | 0.738407i | ||||
\(717\) | 21.2676 | − | 6.24472i | 0.794252 | − | 0.233213i | ||||
\(718\) | 0.909122 | − | 1.04918i | 0.0339281 | − | 0.0391552i | ||||
\(719\) | 8.91335 | + | 2.61720i | 0.332412 | + | 0.0976050i | 0.443680 | − | 0.896186i | \(-0.353673\pi\) |
−0.111267 | + | 0.993790i | \(0.535491\pi\) | |||||||
\(720\) | −0.841254 | + | 0.540641i | −0.0313517 | + | 0.0201485i | ||||
\(721\) | 19.7593 | + | 43.2669i | 0.735876 | + | 1.61134i | ||||
\(722\) | 25.4329 | + | 29.3512i | 0.946516 | + | 1.09234i | ||||
\(723\) | 2.54898 | + | 1.63813i | 0.0947977 | + | 0.0609228i | ||||
\(724\) | 1.40043 | − | 9.74020i | 0.0520465 | − | 0.361992i | ||||
\(725\) | 1.46447 | − | 10.1856i | 0.0543891 | − | 0.378284i | ||||
\(726\) | −7.67915 | − | 4.93509i | −0.285000 | − | 0.183158i | ||||
\(727\) | 7.63395 | + | 8.81005i | 0.283128 | + | 0.326747i | 0.879444 | − | 0.476003i | \(-0.157915\pi\) |
−0.596316 | + | 0.802750i | \(0.703369\pi\) | |||||||
\(728\) | −0.344918 | − | 0.755265i | −0.0127835 | − | 0.0279920i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | −3.71920 | − | 1.09206i | −0.137654 | − | 0.0404188i | ||||
\(731\) | −14.4053 | + | 16.6246i | −0.532799 | + | 0.614883i | ||||
\(732\) | 2.05748 | − | 0.604129i | 0.0760465 | − | 0.0223293i | ||||
\(733\) | −1.76655 | + | 3.86821i | −0.0652490 | + | 0.142875i | −0.939447 | − | 0.342694i | \(-0.888661\pi\) |
0.874198 | + | 0.485570i | \(0.161388\pi\) | |||||||
\(734\) | −1.57538 | − | 10.9570i | −0.0581484 | − | 0.404431i | ||||
\(735\) | −1.82497 | −0.0673150 | ||||||||
\(736\) | 4.76130 | − | 0.574445i | 0.175504 | − | 0.0211743i | ||||
\(737\) | 16.3069 | 0.600674 | ||||||||
\(738\) | −0.464083 | − | 3.22777i | −0.0170831 | − | 0.118816i | ||||
\(739\) | 17.4827 | − | 38.2818i | 0.643112 | − | 1.40822i | −0.254344 | − | 0.967114i | \(-0.581859\pi\) |
0.897456 | − | 0.441105i | \(-0.145413\pi\) | |||||||
\(740\) | −6.71386 | + | 1.97137i | −0.246806 | + | 0.0724689i | ||||
\(741\) | −1.39197 | + | 1.60642i | −0.0511353 | + | 0.0590133i | ||||
\(742\) | −7.21879 | − | 2.11963i | −0.265010 | − | 0.0778139i | ||||
\(743\) | 5.80441 | − | 3.73027i | 0.212943 | − | 0.136850i | −0.429822 | − | 0.902914i | \(-0.641424\pi\) |
0.642765 | + | 0.766064i | \(0.277787\pi\) | |||||||
\(744\) | 0.779048 | + | 1.70588i | 0.0285613 | + | 0.0625405i | ||||
\(745\) | −14.1682 | − | 16.3509i | −0.519081 | − | 0.599052i | ||||
\(746\) | 3.42574 | + | 2.20159i | 0.125425 | + | 0.0806060i | ||||
\(747\) | −0.0437985 | + | 0.304625i | −0.00160250 | + | 0.0111456i | ||||
\(748\) | 4.17210 | − | 29.0176i | 0.152547 | − | 1.06099i | ||||
\(749\) | 38.2401 | + | 24.5754i | 1.39726 | + | 0.897966i | ||||
\(750\) | −0.654861 | − | 0.755750i | −0.0239121 | − | 0.0275961i | ||||
\(751\) | 19.5460 | + | 42.7998i | 0.713244 | + | 1.56179i | 0.823136 | + | 0.567844i | \(0.192222\pi\) |
−0.109892 | + | 0.993944i | \(0.535050\pi\) | |||||||
\(752\) | 10.5212 | − | 6.76157i | 0.383669 | − | 0.246569i | ||||
\(753\) | −15.8233 | − | 4.64613i | −0.576632 | − | 0.169314i | ||||
\(754\) | −1.88346 | + | 2.17363i | −0.0685916 | + | 0.0791589i | ||||
\(755\) | 12.9019 | − | 3.78834i | 0.469548 | − | 0.137872i | ||||
\(756\) | 1.23407 | − | 2.70223i | 0.0448826 | − | 0.0982792i | ||||
\(757\) | 1.74734 | + | 12.1530i | 0.0635080 | + | 0.441708i | 0.996622 | + | 0.0821268i | \(0.0261713\pi\) |
−0.933114 | + | 0.359581i | \(0.882920\pi\) | |||||||
\(758\) | −26.0540 | −0.946324 | ||||||||
\(759\) | −19.7700 | + | 8.49101i | −0.717605 | + | 0.308204i | ||||
\(760\) | 7.60508 | 0.275865 | ||||||||
\(761\) | 3.44539 | + | 23.9632i | 0.124895 | + | 0.868666i | 0.951886 | + | 0.306451i | \(0.0991416\pi\) |
−0.826991 | + | 0.562215i | \(0.809949\pi\) | |||||||
\(762\) | −8.32421 | + | 18.2275i | −0.301554 | + | 0.660312i | ||||
\(763\) | 17.0861 | − | 5.01692i | 0.618557 | − | 0.181625i | ||||
\(764\) | 13.2739 | − | 15.3189i | 0.480234 | − | 0.554220i | ||||
\(765\) | 6.26965 | + | 1.84093i | 0.226680 | + | 0.0665591i | ||||
\(766\) | −9.42725 | + | 6.05853i | −0.340620 | + | 0.218903i | ||||
\(767\) | −0.214582 | − | 0.469868i | −0.00774809 | − | 0.0169659i | ||||
\(768\) | −0.654861 | − | 0.755750i | −0.0236303 | − | 0.0272708i | ||||
\(769\) | −13.3604 | − | 8.58618i | −0.481787 | − | 0.309626i | 0.277108 | − | 0.960839i | \(-0.410624\pi\) |
−0.758895 | + | 0.651213i | \(0.774260\pi\) | |||||||
\(770\) | 1.89675 | − | 13.1922i | 0.0683540 | − | 0.475413i | ||||
\(771\) | −2.64631 | + | 18.4055i | −0.0953046 | + | 0.662858i | ||||
\(772\) | 1.38717 | + | 0.891482i | 0.0499255 | + | 0.0320852i | ||||
\(773\) | −1.69391 | − | 1.95487i | −0.0609256 | − | 0.0703119i | 0.724469 | − | 0.689308i | \(-0.242085\pi\) |
−0.785394 | + | 0.618996i | \(0.787540\pi\) | |||||||
\(774\) | −1.39847 | − | 3.06223i | −0.0502671 | − | 0.110070i | ||||
\(775\) | −1.57764 | + | 1.01389i | −0.0566706 | + | 0.0364200i | ||||
\(776\) | 8.00002 | + | 2.34902i | 0.287184 | + | 0.0843249i | ||||
\(777\) | 13.6124 | − | 15.7096i | 0.488344 | − | 0.563579i | ||||
\(778\) | 36.8930 | − | 10.8328i | 1.32268 | − | 0.388373i | ||||
\(779\) | −10.3022 | + | 22.5588i | −0.369116 | + | 0.808251i | ||||
\(780\) | 0.0397766 | + | 0.276652i | 0.00142423 | + | 0.00990574i | ||||
\(781\) | −40.0984 | −1.43483 | ||||||||
\(782\) | −23.2108 | − | 21.0547i | −0.830016 | − | 0.752916i | ||||
\(783\) | −10.2904 | −0.367747 | ||||||||
\(784\) | −0.259720 | − | 1.80639i | −0.00927573 | − | 0.0645141i | ||||
\(785\) | −1.35566 | + | 2.96849i | −0.0483857 | + | 0.105950i | ||||
\(786\) | 18.7339 | − | 5.50077i | 0.668217 | − | 0.196206i | ||||
\(787\) | 13.1038 | − | 15.1226i | 0.467101 | − | 0.539063i | −0.472502 | − | 0.881330i | \(-0.656649\pi\) |
0.939603 | + | 0.342266i | \(0.111194\pi\) | |||||||
\(788\) | −9.22162 | − | 2.70771i | −0.328506 | − | 0.0964582i | ||||
\(789\) | 7.32566 | − | 4.70791i | 0.260800 | − | 0.167606i | ||||
\(790\) | 4.80647 | + | 10.5247i | 0.171007 | + | 0.374452i | ||||
\(791\) | 11.4006 | + | 13.1570i | 0.405360 | + | 0.467810i | ||||
\(792\) | 3.77424 | + | 2.42556i | 0.134112 | + | 0.0861884i | ||||
\(793\) | 0.0852944 | − | 0.593235i | 0.00302889 | − | 0.0210664i | ||||
\(794\) | −2.66804 | + | 18.5566i | −0.0946851 | + | 0.658550i | ||||
\(795\) | 2.13055 | + | 1.36922i | 0.0755630 | + | 0.0485614i | ||||
\(796\) | 8.46297 | + | 9.76678i | 0.299962 | + | 0.346174i | ||||
\(797\) | −16.9756 | − | 37.1714i | −0.601306 | − | 1.31668i | −0.928364 | − | 0.371673i | \(-0.878784\pi\) |
0.327057 | − | 0.945005i | \(-0.393943\pi\) | |||||||
\(798\) | −19.0058 | + | 12.2143i | −0.672800 | + | 0.432382i | ||||
\(799\) | −78.4119 | − | 23.0238i | −2.77401 | − | 0.814523i | ||||
\(800\) | 0.654861 | − | 0.755750i | 0.0231528 | − | 0.0267198i | ||||
\(801\) | 4.49928 | − | 1.32111i | 0.158974 | − | 0.0466791i | ||||
\(802\) | 5.23428 | − | 11.4615i | 0.184829 | − | 0.404719i | ||||
\(803\) | 2.47492 | + | 17.2134i | 0.0873379 | + | 0.607449i | ||||
\(804\) | −3.63471 | −0.128186 | ||||||||
\(805\) | −10.5523 | − | 9.57206i | −0.371918 | − | 0.337371i | ||||
\(806\) | 0.524155 | 0.0184626 | ||||||||
\(807\) | 2.13259 | + | 14.8325i | 0.0750708 | + | 0.522129i | ||||
\(808\) | −1.49912 | + | 3.28261i | −0.0527388 | + | 0.115482i | ||||
\(809\) | −14.4782 | + | 4.25117i | −0.509025 | + | 0.149463i | −0.526153 | − | 0.850390i | \(-0.676366\pi\) |
0.0171276 | + | 0.999853i | \(0.494548\pi\) | |||||||
\(810\) | −0.654861 | + | 0.755750i | −0.0230095 | + | 0.0265543i | ||||
\(811\) | −8.49116 | − | 2.49323i | −0.298165 | − | 0.0875492i | 0.129228 | − | 0.991615i | \(-0.458750\pi\) |
−0.427394 | + | 0.904066i | \(0.640568\pi\) | |||||||
\(812\) | −25.7166 | + | 16.5271i | −0.902476 | + | 0.579986i | ||||
\(813\) | −7.96981 | − | 17.4514i | −0.279513 | − | 0.612049i | ||||
\(814\) | 20.5581 | + | 23.7253i | 0.720560 | + | 0.831570i | ||||
\(815\) | −3.48700 | − | 2.24096i | −0.122144 | − | 0.0784974i | ||||
\(816\) | −0.929933 | + | 6.46782i | −0.0325542 | + | 0.226419i | ||||
\(817\) | −3.64356 | + | 25.3415i | −0.127472 | + | 0.886587i | ||||
\(818\) | −11.8212 | − | 7.59702i | −0.413318 | − | 0.265624i | ||||
\(819\) | −0.543729 | − | 0.627497i | −0.0189994 | − | 0.0219265i | ||||
\(820\) | 1.35465 | + | 2.96628i | 0.0473065 | + | 0.103587i | ||||
\(821\) | 1.29194 | − | 0.830282i | 0.0450892 | − | 0.0289771i | −0.517902 | − | 0.855440i | \(-0.673287\pi\) |
0.562991 | + | 0.826463i | \(0.309650\pi\) | |||||||
\(822\) | −15.5856 | − | 4.57636i | −0.543612 | − | 0.159619i | ||||
\(823\) | 21.2621 | − | 24.5378i | 0.741151 | − | 0.855334i | −0.252528 | − | 0.967590i | \(-0.581262\pi\) |
0.993679 | + | 0.112255i | \(0.0358074\pi\) | |||||||
\(824\) | 15.3630 | − | 4.51098i | 0.535194 | − | 0.157147i | ||||
\(825\) | −1.86374 | + | 4.08102i | −0.0648870 | + | 0.142083i | ||||
\(826\) | −0.781339 | − | 5.43433i | −0.0271863 | − | 0.189085i | ||||
\(827\) | −55.6520 | −1.93521 | −0.967605 | − | 0.252470i | \(-0.918757\pi\) | ||||
−0.967605 | + | 0.252470i | \(0.918757\pi\) | |||||||
\(828\) | 4.40660 | − | 1.89259i | 0.153140 | − | 0.0657720i | ||||
\(829\) | −24.3002 | −0.843982 | −0.421991 | − | 0.906600i | \(-0.638669\pi\) | ||||
−0.421991 | + | 0.906600i | \(0.638669\pi\) | |||||||
\(830\) | −0.0437985 | − | 0.304625i | −0.00152027 | − | 0.0105737i | ||||
\(831\) | −1.39986 | + | 3.06526i | −0.0485605 | + | 0.106333i | ||||
\(832\) | −0.268175 | + | 0.0787434i | −0.00929731 | + | 0.00272994i | ||||
\(833\) | −7.80919 | + | 9.01229i | −0.270572 | + | 0.312257i | ||||
\(834\) | 8.59963 | + | 2.52508i | 0.297781 | + | 0.0874363i | ||||
\(835\) | −20.0763 | + | 12.9022i | −0.694767 | + | 0.446500i | ||||
\(836\) | −14.1739 | − | 31.0364i | −0.490214 | − | 1.07342i | ||||
\(837\) | 1.22809 | + | 1.41729i | 0.0424491 | + | 0.0489889i | ||||
\(838\) | 17.0313 | + | 10.9454i | 0.588337 | + | 0.378101i | ||||
\(839\) | 3.20355 | − | 22.2812i | 0.110599 | − | 0.769232i | −0.856741 | − | 0.515747i | \(-0.827514\pi\) |
0.967340 | − | 0.253484i | \(-0.0815766\pi\) | |||||||
\(840\) | −0.422773 | + | 2.94045i | −0.0145870 | + | 0.101455i | ||||
\(841\) | 64.6851 | + | 41.5706i | 2.23052 | + | 1.43347i | ||||
\(842\) | 24.3035 | + | 28.0477i | 0.837553 | + | 0.966587i | ||||
\(843\) | 9.38987 | + | 20.5609i | 0.323404 | + | 0.708157i | ||||
\(844\) | −3.39566 | + | 2.18226i | −0.116884 | + | 0.0751165i | ||||
\(845\) | −12.3985 | − | 3.64051i | −0.426520 | − | 0.125238i | ||||
\(846\) | 8.19007 | − | 9.45184i | 0.281580 | − | 0.324961i | ||||
\(847\) | −26.0186 | + | 7.63976i | −0.894011 | + | 0.262505i | ||||
\(848\) | −1.05208 | + | 2.30373i | −0.0361285 | + | 0.0791104i | ||||
\(849\) | −0.0779784 | − | 0.542352i | −0.00267621 | − | 0.0186135i | ||||
\(850\) | −6.53433 | −0.224126 | ||||||||
\(851\) | 33.3163 | − | 4.01956i | 1.14207 | − | 0.137789i | ||||
\(852\) | 8.93768 | 0.306200 | ||||||||
\(853\) | −0.478710 | − | 3.32950i | −0.0163907 | − | 0.114000i | 0.979984 | − | 0.199079i | \(-0.0637949\pi\) |
−0.996374 | + | 0.0850787i | \(0.972886\pi\) | |||||||
\(854\) | 2.64626 | − | 5.79449i | 0.0905530 | − | 0.198283i | ||||
\(855\) | 7.29702 | − | 2.14260i | 0.249553 | − | 0.0732753i | ||||
\(856\) | 10.0204 | − | 11.5641i | 0.342490 | − | 0.395254i | ||||
\(857\) | −19.5137 | − | 5.72974i | −0.666575 | − | 0.195724i | −0.0690979 | − | 0.997610i | \(-0.522012\pi\) |
−0.597477 | + | 0.801886i | \(0.703830\pi\) | |||||||
\(858\) | 1.05489 | − | 0.677936i | 0.0360133 | − | 0.0231444i | ||||
\(859\) | −1.12253 | − | 2.45800i | −0.0383003 | − | 0.0838660i | 0.889515 | − | 0.456906i | \(-0.151043\pi\) |
−0.927815 | + | 0.373040i | \(0.878315\pi\) | |||||||
\(860\) | 2.20455 | + | 2.54419i | 0.0751747 | + | 0.0867562i | ||||
\(861\) | −8.14947 | − | 5.23735i | −0.277733 | − | 0.178488i | ||||
\(862\) | −2.51629 | + | 17.5012i | −0.0857050 | + | 0.596092i | ||||
\(863\) | 5.00891 | − | 34.8378i | 0.170505 | − | 1.18589i | −0.707314 | − | 0.706900i | \(-0.750093\pi\) |
0.877819 | − | 0.478992i | \(-0.158998\pi\) | |||||||
\(864\) | −0.841254 | − | 0.540641i | −0.0286200 | − | 0.0183930i | ||||
\(865\) | 2.14899 | + | 2.48007i | 0.0730680 | + | 0.0843249i | ||||
\(866\) | 5.87993 | + | 12.8752i | 0.199808 | + | 0.437519i | ||||
\(867\) | 21.6181 | − | 13.8931i | 0.734190 | − | 0.471835i | ||||
\(868\) | 5.34540 | + | 1.56955i | 0.181435 | + | 0.0532741i | ||||
\(869\) | 33.9935 | − | 39.2306i | 1.15315 | − | 1.33081i | ||||
\(870\) | 9.87352 | − | 2.89913i | 0.334744 | − | 0.0982896i | ||||
\(871\) | −0.422016 | + | 0.924087i | −0.0142995 | + | 0.0313115i | ||||
\(872\) | −0.853088 | − | 5.93336i | −0.0288892 | − | 0.200929i | ||||
\(873\) | 8.33776 | 0.282191 | ||||||||
\(874\) | −35.9741 | − | 6.00982i | −1.21684 | − | 0.203285i | ||||
\(875\) | −2.97069 | −0.100427 | ||||||||
\(876\) | −0.551643 | − | 3.83676i | −0.0186383 | − | 0.129632i | ||||
\(877\) | 8.26484 | − | 18.0975i | 0.279084 | − | 0.611109i | −0.717235 | − | 0.696831i | \(-0.754593\pi\) |
0.996319 | + | 0.0857227i | \(0.0273199\pi\) | |||||||
\(878\) | −8.65348 | + | 2.54089i | −0.292041 | + | 0.0857509i | ||||
\(879\) | 9.12004 | − | 10.5251i | 0.307611 | − | 0.355002i | ||||
\(880\) | −4.30472 | − | 1.26398i | −0.145112 | − | 0.0426087i | ||||
\(881\) | 35.0351 | − | 22.5157i | 1.18036 | − | 0.758572i | 0.204908 | − | 0.978781i | \(-0.434310\pi\) |
0.975453 | + | 0.220209i | \(0.0706740\pi\) | |||||||
\(882\) | −0.758120 | − | 1.66005i | −0.0255272 | − | 0.0558968i | ||||
\(883\) | 16.1961 | + | 18.6913i | 0.545042 | + | 0.629012i | 0.959721 | − | 0.280956i | \(-0.0906515\pi\) |
−0.414679 | + | 0.909968i | \(0.636106\pi\) | |||||||
\(884\) | 1.53640 | + | 0.987387i | 0.0516749 | + | 0.0332094i | ||||
\(885\) | −0.263017 | + | 1.82932i | −0.00884120 | + | 0.0614919i | ||||
\(886\) | −4.45320 | + | 30.9727i | −0.149608 | + | 1.04055i | ||||
\(887\) | −35.7340 | − | 22.9649i | −1.19983 | − | 0.771085i | −0.220904 | − | 0.975295i | \(-0.570901\pi\) |
−0.978927 | + | 0.204211i | \(0.934537\pi\) | |||||||
\(888\) | −4.58226 | − | 5.28821i | −0.153770 | − | 0.177461i | ||||
\(889\) | 24.7286 | + | 54.1481i | 0.829371 | + | 1.81607i | ||||
\(890\) | −3.94483 | + | 2.53519i | −0.132231 | + | 0.0849797i | ||||
\(891\) | 4.30472 | + | 1.26398i | 0.144213 | + | 0.0423449i | ||||
\(892\) | −18.8512 | + | 21.7555i | −0.631186 | + | 0.728428i | ||||
\(893\) | −91.2607 | + | 26.7966i | −3.05392 | + | 0.896713i | ||||
\(894\) | 8.98767 | − | 19.6802i | 0.300592 | − | 0.658206i | ||||
\(895\) | −3.09127 | − | 21.5002i | −0.103330 | − | 0.718674i | ||||
\(896\) | −2.97069 | −0.0992436 | ||||||||
\(897\) | 0.0304670 | − | 1.34007i | 0.00101726 | − | 0.0447438i | ||||
\(898\) | −13.0023 | −0.433891 | ||||||||
\(899\) | −2.74639 | − | 19.1016i | −0.0915973 | − | 0.637073i | ||||
\(900\) | 0.415415 | − | 0.909632i | 0.0138472 | − | 0.0303211i | ||||
\(901\) | 15.8785 | − | 4.66234i | 0.528989 | − | 0.155325i | ||||
\(902\) | 9.58071 | − | 11.0567i | 0.319003 | − | 0.368149i | ||||
\(903\) | −9.59556 | − | 2.81751i | −0.319320 | − | 0.0937609i | ||||
\(904\) | 4.93004 | − | 3.16834i | 0.163971 | − | 0.105378i | ||||
\(905\) | 4.08783 | + | 8.95111i | 0.135884 | + | 0.297545i | ||||
\(906\) | 8.80564 | + | 10.1622i | 0.292548 | + | 0.337618i | ||||
\(907\) | −14.3290 | − | 9.20871i | −0.475788 | − | 0.305770i | 0.280680 | − | 0.959801i | \(-0.409440\pi\) |
−0.756467 | + | 0.654031i | \(0.773076\pi\) | |||||||
\(908\) | 3.14870 | − | 21.8997i | 0.104493 | − | 0.726767i | ||||
\(909\) | −0.513575 | + | 3.57199i | −0.0170342 | + | 0.118476i | ||||
\(910\) | 0.698491 | + | 0.448893i | 0.0231547 | + | 0.0148807i | ||||
\(911\) | −28.0007 | − | 32.3145i | −0.927704 | − | 1.07063i | −0.997328 | − | 0.0730545i | \(-0.976725\pi\) |
0.0696236 | − | 0.997573i | \(-0.477820\pi\) | |||||||
\(912\) | 3.15926 | + | 6.91782i | 0.104614 | + | 0.229072i | ||||
\(913\) | −1.16155 | + | 0.746484i | −0.0384417 | + | 0.0247050i | ||||
\(914\) | 7.44944 | + | 2.18735i | 0.246406 | + | 0.0723512i | ||||
\(915\) | −1.40424 | + | 1.62058i | −0.0464228 | + | 0.0535748i | ||||
\(916\) | 11.4642 | − | 3.36621i | 0.378789 | − | 0.111223i | ||||
\(917\) | 24.0949 | − | 52.7605i | 0.795685 | − | 1.74231i | ||||
\(918\) | 0.929933 | + | 6.46782i | 0.0306924 | + | 0.213470i | ||||
\(919\) | −6.49592 | −0.214281 | −0.107140 | − | 0.994244i | \(-0.534169\pi\) | ||||
−0.107140 | + | 0.994244i | \(0.534169\pi\) | |||||||
\(920\) | −3.69490 | + | 3.05741i | −0.121817 | + | 0.100800i | ||||
\(921\) | 15.2063 | 0.501064 | ||||||||
\(922\) | −1.45133 | − | 10.0943i | −0.0477972 | − | 0.332437i | ||||
\(923\) | 1.03773 | − | 2.27231i | 0.0341573 | − | 0.0747940i | ||||
\(924\) | 12.7880 | − | 3.75488i | 0.420693 | − | 0.123527i | ||||
\(925\) | 4.58226 | − | 5.28821i | 0.150664 | − | 0.173875i | ||||
\(926\) | −25.9136 | − | 7.60891i | −0.851573 | − | 0.250044i | ||||
\(927\) | 13.4698 | − | 8.65650i | 0.442405 | − | 0.284317i | ||||
\(928\) | 4.27477 | + | 9.36044i | 0.140326 | + | 0.307271i | ||||
\(929\) | −13.8619 | − | 15.9975i | −0.454796 | − | 0.524862i | 0.481325 | − | 0.876542i | \(-0.340156\pi\) |
−0.936120 | + | 0.351680i | \(0.885610\pi\) | |||||||
\(930\) | −1.57764 | − | 1.01389i | −0.0517330 | − | 0.0332468i | ||||
\(931\) | −1.97519 | + | 13.7378i | −0.0647343 | + | 0.450237i | ||||
\(932\) | −0.542059 | + | 3.77010i | −0.0177557 | + | 0.123494i | ||||
\(933\) | 6.39468 | + | 4.10961i | 0.209352 | + | 0.134543i | ||||
\(934\) | 17.2433 | + | 19.8998i | 0.564218 | + | 0.651142i | ||||
\(935\) | 12.1783 | + | 26.6667i | 0.398273 | + | 0.872095i | ||||
\(936\) | −0.235128 | + | 0.151108i | −0.00768540 | + | 0.00493910i | ||||
\(937\) | 21.1633 | + | 6.21411i | 0.691375 | + | 0.203006i | 0.608500 | − | 0.793554i | \(-0.291772\pi\) |
0.0828751 | + | 0.996560i | \(0.473590\pi\) | |||||||
\(938\) | −7.07091 | + | 8.16027i | −0.230873 | + | 0.266442i | ||||
\(939\) | 1.02249 | − | 0.300231i | 0.0333678 | − | 0.00979768i | ||||
\(940\) | −5.19542 | + | 11.3764i | −0.169456 | + | 0.371057i | ||||
\(941\) | 2.16405 | + | 15.0513i | 0.0705460 | + | 0.490658i | 0.994210 | + | 0.107455i | \(0.0342701\pi\) |
−0.923664 | + | 0.383204i | \(0.874821\pi\) | |||||||
\(942\) | −3.26340 | −0.106327 | ||||||||
\(943\) | −4.06382 | − | 15.1018i | −0.132336 | − | 0.491782i | ||||
\(944\) | −1.84813 | −0.0601516 | ||||||||
\(945\) | 0.422773 | + | 2.94045i | 0.0137528 | + | 0.0956528i | ||||
\(946\) | 6.27418 | − | 13.7385i | 0.203991 | − | 0.446678i | ||||
\(947\) | −53.4422 | + | 15.6921i | −1.73664 | + | 0.509923i | −0.988185 | − | 0.153264i | \(-0.951022\pi\) |
−0.748454 | + | 0.663187i | \(0.769203\pi\) | |||||||
\(948\) | −7.57693 | + | 8.74424i | −0.246087 | + | 0.284000i | ||||
\(949\) | −1.03951 | − | 0.305226i | −0.0337438 | − | 0.00990807i | ||||
\(950\) | −6.39780 | + | 4.11161i | −0.207572 | + | 0.133398i | ||||
\(951\) | −7.50294 | − | 16.4291i | −0.243299 | − | 0.532751i | ||||
\(952\) | 12.7118 | + | 14.6702i | 0.411992 | + | 0.475464i | ||||
\(953\) | 36.8651 | + | 23.6917i | 1.19418 | + | 0.767451i | 0.977939 | − | 0.208890i | \(-0.0669851\pi\) |
0.216237 | + | 0.976341i | \(0.430621\pi\) | |||||||
\(954\) | −0.360426 | + | 2.50682i | −0.0116692 | + | 0.0811612i | ||||
\(955\) | −2.88470 | + | 20.0635i | −0.0933468 | + | 0.649241i | ||||
\(956\) | −18.6467 | − | 11.9835i | −0.603079 | − | 0.387575i | ||||
\(957\) | −30.2331 | − | 34.8908i | −0.977296 | − | 1.12786i | ||||
\(958\) | −8.12272 | − | 17.7863i | −0.262433 | − | 0.574648i | ||||
\(959\) | −40.5944 | + | 26.0885i | −1.31086 | + | 0.842440i | ||||
\(960\) | 0.959493 | + | 0.281733i | 0.0309675 | + | 0.00909288i | ||||
\(961\) | 17.9976 | − | 20.7703i | 0.580567 | − | 0.670010i | ||||
\(962\) | −1.87650 | + | 0.550991i | −0.0605009 | + | 0.0177647i | ||||
\(963\) | 6.35649 | − | 13.9188i | 0.204835 | − | 0.448526i | ||||
\(964\) | −0.431211 | − | 2.99914i | −0.0138884 | − | 0.0965958i | ||||
\(965\) | −1.64894 | −0.0530811 | ||||||||
\(966\) | 4.32349 | − | 13.5750i | 0.139106 | − | 0.436770i | ||||
\(967\) | 39.1356 | 1.25852 | 0.629259 | − | 0.777196i | \(-0.283359\pi\) | ||||
0.629259 | + | 0.777196i | \(0.283359\pi\) | |||||||
\(968\) | 1.29908 | + | 9.03531i | 0.0417541 | + | 0.290406i | ||||
\(969\) | 20.6437 | − | 45.2033i | 0.663170 | − | 1.45214i | ||||
\(970\) | −8.00002 | + | 2.34902i | −0.256865 | + | 0.0754225i | ||||
\(971\) | −14.0281 | + | 16.1893i | −0.450184 | + | 0.519540i | −0.934794 | − | 0.355190i | \(-0.884416\pi\) |
0.484610 | + | 0.874730i | \(0.338962\pi\) | |||||||
\(972\) | −0.959493 | − | 0.281733i | −0.0307758 | − | 0.00903658i | ||||
\(973\) | 22.3986 | − | 14.3947i | 0.718067 | − | 0.461474i | ||||
\(974\) | −11.5527 | − | 25.2968i | −0.370171 | − | 0.810562i | ||||
\(975\) | −0.183032 | − | 0.211230i | −0.00586170 | − | 0.00676477i | ||||
\(976\) | −1.80393 | − | 1.15932i | −0.0577424 | − | 0.0371088i | ||||
\(977\) | 2.91027 | − | 20.2414i | 0.0931077 | − | 0.647579i | −0.888811 | − | 0.458274i | \(-0.848468\pi\) |
0.981919 | − | 0.189304i | \(-0.0606232\pi\) | |||||||
\(978\) | 0.589896 | − | 4.10282i | 0.0188628 | − | 0.131194i | ||||
\(979\) | 17.6983 | + | 11.3740i | 0.565640 | + | 0.363514i | ||||
\(980\) | 1.19510 | + | 1.37922i | 0.0381761 | + | 0.0440576i | ||||
\(981\) | −2.49015 | − | 5.45267i | −0.0795045 | − | 0.174090i | ||||
\(982\) | −1.34217 | + | 0.862563i | −0.0428305 | + | 0.0275255i | ||||
\(983\) | 13.5853 | + | 3.98899i | 0.433302 | + | 0.127229i | 0.491108 | − | 0.871099i | \(-0.336592\pi\) |
−0.0578054 | + | 0.998328i | \(0.518410\pi\) | |||||||
\(984\) | −2.13548 | + | 2.46447i | −0.0680765 | + | 0.0785645i | ||||
\(985\) | 9.22162 | − | 2.70771i | 0.293825 | − | 0.0862748i | ||||
\(986\) | 27.9328 | − | 61.1642i | 0.889560 | − | 1.94787i | ||||
\(987\) | −5.28744 | − | 36.7750i | −0.168301 | − | 1.17056i | ||||
\(988\) | 2.12560 | 0.0676242 | ||||||||
\(989\) | −8.41763 | − | 13.7769i | −0.267665 | − | 0.438078i | ||||
\(990\) | −4.48645 | −0.142589 | ||||||||
\(991\) | −3.00504 | − | 20.9005i | −0.0954584 | − | 0.663928i | −0.980224 | − | 0.197891i | \(-0.936591\pi\) |
0.884766 | − | 0.466036i | \(-0.154318\pi\) | |||||||
\(992\) | 0.779048 | − | 1.70588i | 0.0247348 | − | 0.0541617i | ||||
\(993\) | −17.4658 | + | 5.12843i | −0.554261 | + | 0.162746i | ||||
\(994\) | 17.3872 | − | 20.0659i | 0.551489 | − | 0.636452i | ||||
\(995\) | −12.3998 | − | 3.64092i | −0.393101 | − | 0.115425i | ||||
\(996\) | 0.258902 | − | 0.166386i | 0.00820363 | − | 0.00527215i | ||||
\(997\) | 14.1933 | + | 31.0789i | 0.449505 | + | 0.984280i | 0.989755 | + | 0.142775i | \(0.0456025\pi\) |
−0.540250 | + | 0.841505i | \(0.681670\pi\) | |||||||
\(998\) | 2.72291 | + | 3.14241i | 0.0861923 | + | 0.0994712i | ||||
\(999\) | −5.88650 | − | 3.78303i | −0.186241 | − | 0.119690i |
(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.h.601.3 | yes | 30 | |
23.8 | even | 11 | inner | 690.2.m.h.31.3 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.h.31.3 | ✓ | 30 | 23.8 | even | 11 | inner | |
690.2.m.h.601.3 | yes | 30 | 1.1 | even | 1 | trivial |