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 | 151.1 | ||
Character | \(\chi\) | \(=\) | 690.151 |
Dual form | 690.2.m.g.361.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | − | 0.755750i | −0.463056 | − | 0.534396i | ||||
\(3\) | 0.841254 | + | 0.540641i | 0.485698 | + | 0.312139i | ||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | 0.415415 | − | 0.909632i | 0.185779 | − | 0.406800i | ||||
\(6\) | −0.142315 | − | 0.989821i | −0.0580998 | − | 0.404093i | ||||
\(7\) | −2.83591 | − | 0.832699i | −1.07187 | − | 0.314731i | −0.302250 | − | 0.953229i | \(-0.597738\pi\) |
−0.769623 | + | 0.638498i | \(0.779556\pi\) | |||||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | −0.959493 | + | 0.281733i | −0.303418 | + | 0.0890917i | ||||
\(11\) | −1.08040 | + | 1.24684i | −0.325751 | + | 0.375937i | −0.894877 | − | 0.446314i | \(-0.852737\pi\) |
0.569125 | + | 0.822251i | \(0.307282\pi\) | |||||||
\(12\) | −0.654861 | + | 0.755750i | −0.189042 | + | 0.218166i | ||||
\(13\) | 6.41701 | − | 1.88420i | 1.77976 | − | 0.522584i | 0.784524 | − | 0.620098i | \(-0.212907\pi\) |
0.995234 | + | 0.0975138i | \(0.0310890\pi\) | |||||||
\(14\) | 1.22782 | + | 2.68854i | 0.328147 | + | 0.718543i | ||||
\(15\) | 0.841254 | − | 0.540641i | 0.217211 | − | 0.139593i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | −1.04227 | − | 7.24915i | −0.252788 | − | 1.75818i | −0.581310 | − | 0.813682i | \(-0.697460\pi\) |
0.328523 | − | 0.944496i | \(-0.393449\pi\) | |||||||
\(18\) | 0.415415 | − | 0.909632i | 0.0979143 | − | 0.214402i | ||||
\(19\) | 0.0331744 | − | 0.230733i | 0.00761073 | − | 0.0529338i | −0.985662 | − | 0.168731i | \(-0.946033\pi\) |
0.993273 | + | 0.115797i | \(0.0369422\pi\) | |||||||
\(20\) | 0.841254 | + | 0.540641i | 0.188110 | + | 0.120891i | ||||
\(21\) | −1.93553 | − | 2.23372i | −0.422367 | − | 0.487438i | ||||
\(22\) | 1.64981 | 0.351740 | ||||||||
\(23\) | 4.77970 | + | 0.393012i | 0.996637 | + | 0.0819486i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.654861 | − | 0.755750i | −0.130972 | − | 0.151150i | ||||
\(26\) | −5.62623 | − | 3.61576i | −1.10340 | − | 0.709109i | ||||
\(27\) | −0.142315 | + | 0.989821i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 1.22782 | − | 2.68854i | 0.232035 | − | 0.508086i | ||||
\(29\) | −1.22302 | − | 8.50631i | −0.227110 | − | 1.57958i | −0.710192 | − | 0.704008i | \(-0.751392\pi\) |
0.483083 | − | 0.875575i | \(-0.339517\pi\) | |||||||
\(30\) | −0.959493 | − | 0.281733i | −0.175179 | − | 0.0514371i | ||||
\(31\) | 0.547910 | − | 0.352120i | 0.0984075 | − | 0.0632426i | −0.490512 | − | 0.871435i | \(-0.663190\pi\) |
0.588919 | + | 0.808192i | \(0.299554\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | −1.58298 | + | 0.464805i | −0.275561 | + | 0.0809121i | ||||
\(34\) | −4.79600 | + | 5.53488i | −0.822508 | + | 0.949224i | ||||
\(35\) | −1.93553 | + | 2.23372i | −0.327164 | + | 0.377568i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | 2.22961 | + | 4.88215i | 0.366545 | + | 0.802621i | 0.999594 | + | 0.0285092i | \(0.00907600\pi\) |
−0.633049 | + | 0.774112i | \(0.718197\pi\) | |||||||
\(38\) | −0.196101 | + | 0.126026i | −0.0318118 | + | 0.0204442i | ||||
\(39\) | 6.41701 | + | 1.88420i | 1.02754 | + | 0.301714i | ||||
\(40\) | −0.142315 | − | 0.989821i | −0.0225020 | − | 0.156505i | ||||
\(41\) | 3.35643 | − | 7.34956i | 0.524187 | − | 1.14781i | −0.443643 | − | 0.896203i | \(-0.646314\pi\) |
0.967830 | − | 0.251605i | \(-0.0809584\pi\) | |||||||
\(42\) | −0.420631 | + | 2.92555i | −0.0649047 | + | 0.451422i | ||||
\(43\) | 2.11612 | + | 1.35995i | 0.322705 | + | 0.207390i | 0.691956 | − | 0.721940i | \(-0.256749\pi\) |
−0.369251 | + | 0.929330i | \(0.620386\pi\) | |||||||
\(44\) | −1.08040 | − | 1.24684i | −0.162876 | − | 0.187969i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −2.83302 | − | 3.86962i | −0.417706 | − | 0.570545i | ||||
\(47\) | 3.80565 | 0.555111 | 0.277555 | − | 0.960710i | \(-0.410476\pi\) | ||||
0.277555 | + | 0.960710i | \(0.410476\pi\) | |||||||
\(48\) | −0.654861 | − | 0.755750i | −0.0945210 | − | 0.109083i | ||||
\(49\) | 1.46023 | + | 0.938434i | 0.208605 | + | 0.134062i | ||||
\(50\) | −0.142315 | + | 0.989821i | −0.0201264 | + | 0.139982i | ||||
\(51\) | 3.04237 | − | 6.66187i | 0.426018 | − | 0.932848i | ||||
\(52\) | 0.951790 | + | 6.61984i | 0.131990 | + | 0.918007i | ||||
\(53\) | −0.0131435 | − | 0.00385927i | −0.00180540 | − | 0.000530112i | 0.280830 | − | 0.959758i | \(-0.409390\pi\) |
−0.282635 | + | 0.959227i | \(0.591209\pi\) | |||||||
\(54\) | 0.841254 | − | 0.540641i | 0.114480 | − | 0.0735719i | ||||
\(55\) | 0.685355 | + | 1.50072i | 0.0924133 | + | 0.202357i | ||||
\(56\) | −2.83591 | + | 0.832699i | −0.378965 | + | 0.111274i | ||||
\(57\) | 0.152652 | − | 0.176170i | 0.0202192 | − | 0.0233342i | ||||
\(58\) | −5.62773 | + | 6.49475i | −0.738957 | + | 0.852802i | ||||
\(59\) | 6.55130 | − | 1.92363i | 0.852906 | − | 0.250436i | 0.174077 | − | 0.984732i | \(-0.444306\pi\) |
0.678829 | + | 0.734296i | \(0.262488\pi\) | |||||||
\(60\) | 0.415415 | + | 0.909632i | 0.0536298 | + | 0.117433i | ||||
\(61\) | −9.37563 | + | 6.02535i | −1.20043 | + | 0.771467i | −0.979030 | − | 0.203717i | \(-0.934698\pi\) |
−0.221396 | + | 0.975184i | \(0.571061\pi\) | |||||||
\(62\) | −0.624919 | − | 0.183493i | −0.0793648 | − | 0.0233036i | ||||
\(63\) | −0.420631 | − | 2.92555i | −0.0529945 | − | 0.368585i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 0.951790 | − | 6.61984i | 0.118055 | − | 0.821091i | ||||
\(66\) | 1.38791 | + | 0.891954i | 0.170840 | + | 0.109792i | ||||
\(67\) | 0.687452 | + | 0.793361i | 0.0839856 | + | 0.0969245i | 0.796187 | − | 0.605051i | \(-0.206847\pi\) |
−0.712201 | + | 0.701975i | \(0.752302\pi\) | |||||||
\(68\) | 7.32370 | 0.888129 | ||||||||
\(69\) | 3.80846 | + | 2.91472i | 0.458485 | + | 0.350892i | ||||
\(70\) | 2.95564 | 0.353266 | ||||||||
\(71\) | 1.76802 | + | 2.04040i | 0.209825 | + | 0.242151i | 0.850901 | − | 0.525327i | \(-0.176057\pi\) |
−0.641075 | + | 0.767478i | \(0.721511\pi\) | |||||||
\(72\) | 0.841254 | + | 0.540641i | 0.0991427 | + | 0.0637151i | ||||
\(73\) | 1.13271 | − | 7.87819i | 0.132574 | − | 0.922072i | −0.809608 | − | 0.586971i | \(-0.800320\pi\) |
0.942182 | − | 0.335101i | \(-0.108771\pi\) | |||||||
\(74\) | 2.22961 | − | 4.88215i | 0.259186 | − | 0.567539i | ||||
\(75\) | −0.142315 | − | 0.989821i | −0.0164331 | − | 0.114295i | ||||
\(76\) | 0.223663 | + | 0.0656735i | 0.0256559 | + | 0.00753326i | ||||
\(77\) | 4.10215 | − | 2.63629i | 0.467483 | − | 0.300433i | ||||
\(78\) | −2.77826 | − | 6.08354i | −0.314576 | − | 0.688826i | ||||
\(79\) | −6.77960 | + | 1.99067i | −0.762764 | + | 0.223968i | −0.639903 | − | 0.768456i | \(-0.721025\pi\) |
−0.122862 | + | 0.992424i | \(0.539207\pi\) | |||||||
\(80\) | −0.654861 | + | 0.755750i | −0.0732157 | + | 0.0844954i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −7.75242 | + | 2.27632i | −0.856112 | + | 0.251377i | ||||
\(83\) | −1.45295 | − | 3.18151i | −0.159482 | − | 0.349216i | 0.812976 | − | 0.582298i | \(-0.197846\pi\) |
−0.972457 | + | 0.233082i | \(0.925119\pi\) | |||||||
\(84\) | 2.48644 | − | 1.59794i | 0.271293 | − | 0.174349i | ||||
\(85\) | −7.02704 | − | 2.06332i | −0.762189 | − | 0.223799i | ||||
\(86\) | −0.357984 | − | 2.48983i | −0.0386024 | − | 0.268485i | ||||
\(87\) | 3.56999 | − | 7.81718i | 0.382743 | − | 0.838090i | ||||
\(88\) | −0.234792 | + | 1.63302i | −0.0250289 | + | 0.174080i | ||||
\(89\) | −5.25139 | − | 3.37487i | −0.556647 | − | 0.357735i | 0.231872 | − | 0.972746i | \(-0.425515\pi\) |
−0.788518 | + | 0.615011i | \(0.789151\pi\) | |||||||
\(90\) | −0.654861 | − | 0.755750i | −0.0690284 | − | 0.0796630i | ||||
\(91\) | −19.7670 | −2.07215 | ||||||||
\(92\) | −1.06923 | + | 4.67512i | −0.111475 | + | 0.487415i | ||||
\(93\) | 0.651301 | 0.0675368 | ||||||||
\(94\) | −2.49217 | − | 2.87612i | −0.257048 | − | 0.296649i | ||||
\(95\) | −0.196101 | − | 0.126026i | −0.0201195 | − | 0.0129300i | ||||
\(96\) | −0.142315 | + | 0.989821i | −0.0145249 | + | 0.101023i | ||||
\(97\) | −2.63137 | + | 5.76190i | −0.267175 | + | 0.585032i | −0.994903 | − | 0.100834i | \(-0.967849\pi\) |
0.727728 | + | 0.685866i | \(0.240576\pi\) | |||||||
\(98\) | −0.247027 | − | 1.71811i | −0.0249535 | − | 0.173556i | ||||
\(99\) | −1.58298 | − | 0.464805i | −0.159095 | − | 0.0467146i | ||||
\(100\) | 0.841254 | − | 0.540641i | 0.0841254 | − | 0.0540641i | ||||
\(101\) | −3.50145 | − | 7.66710i | −0.348407 | − | 0.762905i | −0.999991 | − | 0.00432828i | \(-0.998622\pi\) |
0.651584 | − | 0.758577i | \(-0.274105\pi\) | |||||||
\(102\) | −7.02704 | + | 2.06332i | −0.695780 | + | 0.204300i | ||||
\(103\) | 0.629476 | − | 0.726454i | 0.0620241 | − | 0.0715796i | −0.723890 | − | 0.689916i | \(-0.757648\pi\) |
0.785914 | + | 0.618336i | \(0.212193\pi\) | |||||||
\(104\) | 4.37966 | − | 5.05439i | 0.429461 | − | 0.495624i | ||||
\(105\) | −2.83591 | + | 0.832699i | −0.276757 | + | 0.0812631i | ||||
\(106\) | 0.00569050 | + | 0.0124605i | 0.000552711 | + | 0.00121027i | ||||
\(107\) | −9.12882 | + | 5.86674i | −0.882517 | + | 0.567159i | −0.901557 | − | 0.432660i | \(-0.857575\pi\) |
0.0190407 | + | 0.999819i | \(0.493939\pi\) | |||||||
\(108\) | −0.959493 | − | 0.281733i | −0.0923273 | − | 0.0271097i | ||||
\(109\) | 1.60511 | + | 11.1638i | 0.153742 | + | 1.06930i | 0.909876 | + | 0.414881i | \(0.136177\pi\) |
−0.756134 | + | 0.654417i | \(0.772914\pi\) | |||||||
\(110\) | 0.685355 | − | 1.50072i | 0.0653461 | − | 0.143088i | ||||
\(111\) | −0.763829 | + | 5.31255i | −0.0724994 | + | 0.504244i | ||||
\(112\) | 2.48644 | + | 1.59794i | 0.234946 | + | 0.150991i | ||||
\(113\) | 9.61853 | + | 11.1004i | 0.904835 | + | 1.04424i | 0.998815 | + | 0.0486611i | \(0.0154954\pi\) |
−0.0939804 | + | 0.995574i | \(0.529959\pi\) | |||||||
\(114\) | −0.233106 | −0.0218323 | ||||||||
\(115\) | 2.34306 | − | 4.18451i | 0.218491 | − | 0.390207i | ||||
\(116\) | 8.59378 | 0.797913 | ||||||||
\(117\) | 4.37966 | + | 5.05439i | 0.404899 | + | 0.467279i | ||||
\(118\) | −5.74397 | − | 3.69143i | −0.528776 | − | 0.339823i | ||||
\(119\) | −3.08057 | + | 21.4259i | −0.282396 | + | 1.96410i | ||||
\(120\) | 0.415415 | − | 0.909632i | 0.0379220 | − | 0.0830377i | ||||
\(121\) | 1.17810 | + | 8.19387i | 0.107100 | + | 0.744897i | ||||
\(122\) | 10.6934 | + | 3.13986i | 0.968134 | + | 0.284270i | ||||
\(123\) | 6.79708 | − | 4.36822i | 0.612872 | − | 0.393869i | ||||
\(124\) | 0.270560 | + | 0.592445i | 0.0242970 | + | 0.0532031i | ||||
\(125\) | −0.959493 | + | 0.281733i | −0.0858197 | + | 0.0251989i | ||||
\(126\) | −1.93553 | + | 2.23372i | −0.172431 | + | 0.198996i | ||||
\(127\) | 3.05101 | − | 3.52105i | 0.270733 | − | 0.312443i | −0.604060 | − | 0.796938i | \(-0.706451\pi\) |
0.874794 | + | 0.484496i | \(0.160997\pi\) | |||||||
\(128\) | −0.959493 | + | 0.281733i | −0.0848080 | + | 0.0249019i | ||||
\(129\) | 1.04495 | + | 2.28812i | 0.0920027 | + | 0.201458i | ||||
\(130\) | −5.62623 | + | 3.61576i | −0.493453 | + | 0.317123i | ||||
\(131\) | −19.2773 | − | 5.66031i | −1.68426 | − | 0.494544i | −0.707113 | − | 0.707100i | \(-0.750003\pi\) |
−0.977149 | + | 0.212556i | \(0.931821\pi\) | |||||||
\(132\) | −0.234792 | − | 1.63302i | −0.0204360 | − | 0.142136i | ||||
\(133\) | −0.286211 | + | 0.626714i | −0.0248176 | + | 0.0543430i | ||||
\(134\) | 0.149398 | − | 1.03908i | 0.0129060 | − | 0.0897631i | ||||
\(135\) | 0.841254 | + | 0.540641i | 0.0724036 | + | 0.0465310i | ||||
\(136\) | −4.79600 | − | 5.53488i | −0.411254 | − | 0.474612i | ||||
\(137\) | 18.6726 | 1.59531 | 0.797654 | − | 0.603115i | \(-0.206074\pi\) | ||||
0.797654 | + | 0.603115i | \(0.206074\pi\) | |||||||
\(138\) | −0.291211 | − | 4.78698i | −0.0247895 | − | 0.407495i | ||||
\(139\) | 13.3244 | 1.13016 | 0.565080 | − | 0.825036i | \(-0.308845\pi\) | ||||
0.565080 | + | 0.825036i | \(0.308845\pi\) | |||||||
\(140\) | −1.93553 | − | 2.23372i | −0.163582 | − | 0.188784i | ||||
\(141\) | 3.20152 | + | 2.05749i | 0.269616 | + | 0.173272i | ||||
\(142\) | 0.384227 | − | 2.67236i | 0.0322436 | − | 0.224259i | ||||
\(143\) | −4.58360 | + | 10.0367i | −0.383300 | + | 0.839310i | ||||
\(144\) | −0.142315 | − | 0.989821i | −0.0118596 | − | 0.0824851i | ||||
\(145\) | −8.24567 | − | 2.42115i | −0.684766 | − | 0.201065i | ||||
\(146\) | −6.69571 | + | 4.30307i | −0.554141 | + | 0.356125i | ||||
\(147\) | 0.721069 | + | 1.57892i | 0.0594728 | + | 0.130227i | ||||
\(148\) | −5.14977 | + | 1.51211i | −0.423308 | + | 0.124295i | ||||
\(149\) | −11.6603 | + | 13.4567i | −0.955252 | + | 1.10242i | 0.0394088 | + | 0.999223i | \(0.487453\pi\) |
−0.994661 | + | 0.103197i | \(0.967093\pi\) | |||||||
\(150\) | −0.654861 | + | 0.755750i | −0.0534692 | + | 0.0617067i | ||||
\(151\) | 6.36320 | − | 1.86840i | 0.517830 | − | 0.152049i | −0.0123665 | − | 0.999924i | \(-0.503936\pi\) |
0.530196 | + | 0.847875i | \(0.322118\pi\) | |||||||
\(152\) | −0.0968356 | − | 0.212040i | −0.00785440 | − | 0.0171987i | ||||
\(153\) | 6.16109 | − | 3.95949i | 0.498094 | − | 0.320106i | ||||
\(154\) | −4.67871 | − | 1.37379i | −0.377021 | − | 0.110703i | ||||
\(155\) | −0.0926899 | − | 0.644672i | −0.00744503 | − | 0.0517813i | ||||
\(156\) | −2.77826 | + | 6.08354i | −0.222439 | + | 0.487073i | ||||
\(157\) | −0.358502 | + | 2.49343i | −0.0286115 | + | 0.198998i | −0.999114 | − | 0.0420952i | \(-0.986597\pi\) |
0.970502 | + | 0.241093i | \(0.0775058\pi\) | |||||||
\(158\) | 5.94414 | + | 3.82007i | 0.472890 | + | 0.303908i | ||||
\(159\) | −0.00897052 | − | 0.0103525i | −0.000711408 | − | 0.000821009i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −13.2275 | − | 5.09460i | −1.04248 | − | 0.401511i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 15.2960 | + | 17.6525i | 1.19808 | + | 1.38265i | 0.904365 | + | 0.426760i | \(0.140345\pi\) |
0.293712 | + | 0.955894i | \(0.405109\pi\) | |||||||
\(164\) | 6.79708 | + | 4.36822i | 0.530763 | + | 0.341101i | ||||
\(165\) | −0.234792 | + | 1.63302i | −0.0182786 | + | 0.127130i | ||||
\(166\) | −1.45295 | + | 3.18151i | −0.112771 | + | 0.246933i | ||||
\(167\) | −2.13301 | − | 14.8354i | −0.165057 | − | 1.14800i | −0.888923 | − | 0.458056i | \(-0.848546\pi\) |
0.723866 | − | 0.689940i | \(-0.242363\pi\) | |||||||
\(168\) | −2.83591 | − | 0.832699i | −0.218795 | − | 0.0642441i | ||||
\(169\) | 26.6915 | − | 17.1536i | 2.05319 | − | 1.31951i | ||||
\(170\) | 3.04237 | + | 6.66187i | 0.233339 | + | 0.510942i | ||||
\(171\) | 0.223663 | − | 0.0656735i | 0.0171040 | − | 0.00502218i | ||||
\(172\) | −1.64726 | + | 1.90104i | −0.125602 | + | 0.144953i | ||||
\(173\) | −11.2582 | + | 12.9927i | −0.855945 | + | 0.987813i | −0.999998 | − | 0.00175677i | \(-0.999441\pi\) |
0.144054 | + | 0.989570i | \(0.453986\pi\) | |||||||
\(174\) | −8.24567 | + | 2.42115i | −0.625103 | + | 0.183547i | ||||
\(175\) | 1.22782 | + | 2.68854i | 0.0928141 | + | 0.203235i | ||||
\(176\) | 1.38791 | − | 0.891954i | 0.104617 | − | 0.0672336i | ||||
\(177\) | 6.55130 | + | 1.92363i | 0.492426 | + | 0.144589i | ||||
\(178\) | 0.888378 | + | 6.17880i | 0.0665867 | + | 0.463121i | ||||
\(179\) | −0.177830 | + | 0.389394i | −0.0132917 | + | 0.0291047i | −0.916161 | − | 0.400810i | \(-0.868729\pi\) |
0.902870 | + | 0.429914i | \(0.141456\pi\) | |||||||
\(180\) | −0.142315 | + | 0.989821i | −0.0106075 | + | 0.0737769i | ||||
\(181\) | 13.4236 | + | 8.62682i | 0.997767 | + | 0.641226i | 0.934199 | − | 0.356751i | \(-0.116116\pi\) |
0.0635680 | + | 0.997978i | \(0.479752\pi\) | |||||||
\(182\) | 12.9447 | + | 14.9389i | 0.959522 | + | 1.10735i | ||||
\(183\) | −11.1448 | −0.823850 | ||||||||
\(184\) | 4.23342 | − | 2.25348i | 0.312092 | − | 0.166129i | ||||
\(185\) | 5.36718 | 0.394603 | ||||||||
\(186\) | −0.426512 | − | 0.492221i | −0.0312734 | − | 0.0360914i | ||||
\(187\) | 10.1646 | + | 6.53240i | 0.743310 | + | 0.477697i | ||||
\(188\) | −0.541600 | + | 3.76691i | −0.0395003 | + | 0.274730i | ||||
\(189\) | 1.22782 | − | 2.68854i | 0.0893104 | − | 0.195563i | ||||
\(190\) | 0.0331744 | + | 0.230733i | 0.00240672 | + | 0.0167391i | ||||
\(191\) | 8.45427 | + | 2.48240i | 0.611730 | + | 0.179620i | 0.572899 | − | 0.819626i | \(-0.305819\pi\) |
0.0388304 | + | 0.999246i | \(0.487637\pi\) | |||||||
\(192\) | 0.841254 | − | 0.540641i | 0.0607122 | − | 0.0390174i | ||||
\(193\) | −2.05626 | − | 4.50258i | −0.148013 | − | 0.324103i | 0.821074 | − | 0.570821i | \(-0.193375\pi\) |
−0.969087 | + | 0.246718i | \(0.920648\pi\) | |||||||
\(194\) | 6.07774 | − | 1.78458i | 0.436356 | − | 0.128126i | ||||
\(195\) | 4.37966 | − | 5.05439i | 0.313634 | − | 0.361952i | ||||
\(196\) | −1.13669 | + | 1.31182i | −0.0811925 | + | 0.0937011i | ||||
\(197\) | −10.2033 | + | 2.99597i | −0.726958 | + | 0.213454i | −0.624214 | − | 0.781254i | \(-0.714581\pi\) |
−0.102744 | + | 0.994708i | \(0.532762\pi\) | |||||||
\(198\) | 0.685355 | + | 1.50072i | 0.0487061 | + | 0.106651i | ||||
\(199\) | −22.3584 | + | 14.3688i | −1.58494 | + | 1.01858i | −0.611044 | + | 0.791597i | \(0.709250\pi\) |
−0.973899 | + | 0.226984i | \(0.927114\pi\) | |||||||
\(200\) | −0.959493 | − | 0.281733i | −0.0678464 | − | 0.0199215i | ||||
\(201\) | 0.149398 | + | 1.03908i | 0.0105377 | + | 0.0732912i | ||||
\(202\) | −3.50145 | + | 7.66710i | −0.246361 | + | 0.539455i | ||||
\(203\) | −3.61481 | + | 25.1416i | −0.253710 | + | 1.76459i | ||||
\(204\) | 6.16109 | + | 3.95949i | 0.431362 | + | 0.277220i | ||||
\(205\) | −5.29108 | − | 6.10623i | −0.369545 | − | 0.426478i | ||||
\(206\) | −0.961236 | −0.0669725 | ||||||||
\(207\) | 1.62806 | + | 4.51103i | 0.113158 | + | 0.313538i | ||||
\(208\) | −6.68792 | −0.463724 | ||||||||
\(209\) | 0.251846 | + | 0.290646i | 0.0174206 | + | 0.0201044i | ||||
\(210\) | 2.48644 | + | 1.59794i | 0.171581 | + | 0.110268i | ||||
\(211\) | −3.18286 | + | 22.1373i | −0.219117 | + | 1.52399i | 0.522191 | + | 0.852828i | \(0.325115\pi\) |
−0.741309 | + | 0.671164i | \(0.765794\pi\) | |||||||
\(212\) | 0.00569050 | − | 0.0124605i | 0.000390825 | − | 0.000855788i | ||||
\(213\) | 0.384227 | + | 2.67236i | 0.0263268 | + | 0.183107i | ||||
\(214\) | 10.4119 | + | 3.05721i | 0.711742 | + | 0.208986i | ||||
\(215\) | 2.11612 | − | 1.35995i | 0.144318 | − | 0.0927476i | ||||
\(216\) | 0.415415 | + | 0.909632i | 0.0282654 | + | 0.0618926i | ||||
\(217\) | −1.84703 | + | 0.542338i | −0.125385 | + | 0.0368163i | ||||
\(218\) | 7.38592 | − | 8.52380i | 0.500237 | − | 0.577305i | ||||
\(219\) | 5.21217 | − | 6.01516i | 0.352206 | − | 0.406467i | ||||
\(220\) | −1.58298 | + | 0.464805i | −0.106724 | + | 0.0313371i | ||||
\(221\) | −20.3472 | − | 44.5540i | −1.36870 | − | 2.99703i | ||||
\(222\) | 4.51516 | − | 2.90171i | 0.303037 | − | 0.194750i | ||||
\(223\) | −12.9498 | − | 3.80240i | −0.867183 | − | 0.254628i | −0.182266 | − | 0.983249i | \(-0.558343\pi\) |
−0.684917 | + | 0.728621i | \(0.740161\pi\) | |||||||
\(224\) | −0.420631 | − | 2.92555i | −0.0281046 | − | 0.195472i | ||||
\(225\) | 0.415415 | − | 0.909632i | 0.0276943 | − | 0.0606421i | ||||
\(226\) | 2.09031 | − | 14.5384i | 0.139045 | − | 0.967080i | ||||
\(227\) | 15.9410 | + | 10.2446i | 1.05804 | + | 0.679961i | 0.949384 | − | 0.314119i | \(-0.101709\pi\) |
0.108656 | + | 0.994079i | \(0.465345\pi\) | |||||||
\(228\) | 0.152652 | + | 0.176170i | 0.0101096 | + | 0.0116671i | ||||
\(229\) | −21.2220 | −1.40239 | −0.701195 | − | 0.712969i | \(-0.747350\pi\) | ||||
−0.701195 | + | 0.712969i | \(0.747350\pi\) | |||||||
\(230\) | −4.69681 | + | 0.969505i | −0.309699 | + | 0.0639273i | ||||
\(231\) | 4.87623 | 0.320833 | ||||||||
\(232\) | −5.62773 | − | 6.49475i | −0.369479 | − | 0.426401i | ||||
\(233\) | 4.74290 | + | 3.04808i | 0.310718 | + | 0.199686i | 0.686701 | − | 0.726940i | \(-0.259058\pi\) |
−0.375983 | + | 0.926627i | \(0.622695\pi\) | |||||||
\(234\) | 0.951790 | − | 6.61984i | 0.0622205 | − | 0.432753i | ||||
\(235\) | 1.58092 | − | 3.46174i | 0.103128 | − | 0.225819i | ||||
\(236\) | 0.971708 | + | 6.75838i | 0.0632528 | + | 0.439933i | ||||
\(237\) | −6.77960 | − | 1.99067i | −0.440382 | − | 0.129308i | ||||
\(238\) | 18.2099 | − | 11.7028i | 1.18037 | − | 0.758580i | ||||
\(239\) | 7.90267 | + | 17.3044i | 0.511181 | + | 1.11933i | 0.972672 | + | 0.232186i | \(0.0745877\pi\) |
−0.461490 | + | 0.887145i | \(0.652685\pi\) | |||||||
\(240\) | −0.959493 | + | 0.281733i | −0.0619350 | + | 0.0181858i | ||||
\(241\) | 7.80766 | − | 9.01052i | 0.502935 | − | 0.580418i | −0.446340 | − | 0.894863i | \(-0.647273\pi\) |
0.949276 | + | 0.314445i | \(0.101818\pi\) | |||||||
\(242\) | 5.42102 | − | 6.25619i | 0.348477 | − | 0.402163i | ||||
\(243\) | −0.959493 | + | 0.281733i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −4.62973 | − | 10.1377i | −0.296388 | − | 0.648999i | ||||
\(245\) | 1.46023 | − | 0.938434i | 0.0932908 | − | 0.0599543i | ||||
\(246\) | −7.75242 | − | 2.27632i | −0.494276 | − | 0.145133i | ||||
\(247\) | −0.221868 | − | 1.54312i | −0.0141171 | − | 0.0981866i | ||||
\(248\) | 0.270560 | − | 0.592445i | 0.0171806 | − | 0.0376203i | ||||
\(249\) | 0.497757 | − | 3.46198i | 0.0315441 | − | 0.219394i | ||||
\(250\) | 0.841254 | + | 0.540641i | 0.0532055 | + | 0.0341931i | ||||
\(251\) | −13.3841 | − | 15.4461i | −0.844799 | − | 0.974950i | 0.155118 | − | 0.987896i | \(-0.450424\pi\) |
−0.999916 | + | 0.0129465i | \(0.995879\pi\) | |||||||
\(252\) | 2.95564 | 0.186188 | ||||||||
\(253\) | −5.65399 | + | 5.53493i | −0.355463 | + | 0.347978i | ||||
\(254\) | −4.65902 | −0.292333 | ||||||||
\(255\) | −4.79600 | − | 5.53488i | −0.300337 | − | 0.346608i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 0.134123 | − | 0.932843i | 0.00836634 | − | 0.0581892i | −0.985211 | − | 0.171348i | \(-0.945188\pi\) |
0.993577 | + | 0.113159i | \(0.0360969\pi\) | |||||||
\(258\) | 1.04495 | − | 2.28812i | 0.0650557 | − | 0.142452i | ||||
\(259\) | −2.25760 | − | 15.7019i | −0.140280 | − | 0.975671i | ||||
\(260\) | 6.41701 | + | 1.88420i | 0.397966 | + | 0.116853i | ||||
\(261\) | 7.22955 | − | 4.64615i | 0.447498 | − | 0.287589i | ||||
\(262\) | 8.34614 | + | 18.2755i | 0.515626 | + | 1.12906i | ||||
\(263\) | 3.18758 | − | 0.935958i | 0.196555 | − | 0.0577136i | −0.181974 | − | 0.983303i | \(-0.558249\pi\) |
0.378528 | + | 0.925590i | \(0.376430\pi\) | |||||||
\(264\) | −1.08040 | + | 1.24684i | −0.0664937 | + | 0.0767378i | ||||
\(265\) | −0.00897052 | + | 0.0103525i | −0.000551054 | + | 0.000635951i | ||||
\(266\) | 0.661067 | − | 0.194107i | 0.0405326 | − | 0.0119015i | ||||
\(267\) | −2.59316 | − | 5.67823i | −0.158699 | − | 0.347502i | ||||
\(268\) | −0.883121 | + | 0.567547i | −0.0539452 | + | 0.0346685i | ||||
\(269\) | −0.524005 | − | 0.153862i | −0.0319491 | − | 0.00938111i | 0.265719 | − | 0.964051i | \(-0.414391\pi\) |
−0.297668 | + | 0.954669i | \(0.596209\pi\) | |||||||
\(270\) | −0.142315 | − | 0.989821i | −0.00866101 | − | 0.0602386i | ||||
\(271\) | −7.88564 | + | 17.2671i | −0.479019 | + | 1.04890i | 0.503714 | + | 0.863871i | \(0.331967\pi\) |
−0.982732 | + | 0.185034i | \(0.940761\pi\) | |||||||
\(272\) | −1.04227 | + | 7.24915i | −0.0631970 | + | 0.439545i | ||||
\(273\) | −16.6291 | − | 10.6869i | −1.00644 | − | 0.646799i | ||||
\(274\) | −12.2280 | − | 14.1118i | −0.738718 | − | 0.852526i | ||||
\(275\) | 1.64981 | 0.0994872 | ||||||||
\(276\) | −3.42706 | + | 3.35489i | −0.206285 | + | 0.201941i | ||||
\(277\) | 4.15170 | 0.249451 | 0.124726 | − | 0.992191i | \(-0.460195\pi\) | ||||
0.124726 | + | 0.992191i | \(0.460195\pi\) | |||||||
\(278\) | −8.72562 | − | 10.0699i | −0.523328 | − | 0.603952i | ||||
\(279\) | 0.547910 | + | 0.352120i | 0.0328025 | + | 0.0210809i | ||||
\(280\) | −0.420631 | + | 2.92555i | −0.0251375 | + | 0.174835i | ||||
\(281\) | 0.821390 | − | 1.79859i | 0.0490000 | − | 0.107295i | −0.883549 | − | 0.468339i | \(-0.844852\pi\) |
0.932549 | + | 0.361044i | \(0.117580\pi\) | |||||||
\(282\) | −0.541600 | − | 3.76691i | −0.0322518 | − | 0.224316i | ||||
\(283\) | 13.9758 | + | 4.10365i | 0.830773 | + | 0.243937i | 0.669349 | − | 0.742948i | \(-0.266573\pi\) |
0.161424 | + | 0.986885i | \(0.448391\pi\) | |||||||
\(284\) | −2.27125 | + | 1.45964i | −0.134774 | + | 0.0866139i | ||||
\(285\) | −0.0968356 | − | 0.212040i | −0.00573605 | − | 0.0125602i | ||||
\(286\) | 10.5868 | − | 3.10858i | 0.626013 | − | 0.183814i | ||||
\(287\) | −15.6385 | + | 18.0478i | −0.923112 | + | 1.06533i | ||||
\(288\) | −0.654861 | + | 0.755750i | −0.0385880 | + | 0.0445330i | ||||
\(289\) | −35.1525 | + | 10.3217i | −2.06780 | + | 0.607160i | ||||
\(290\) | 3.56999 | + | 7.81718i | 0.209637 | + | 0.459041i | ||||
\(291\) | −5.32877 | + | 3.42459i | −0.312378 | + | 0.200753i | ||||
\(292\) | 7.63680 | + | 2.24237i | 0.446910 | + | 0.131225i | ||||
\(293\) | −1.50731 | − | 10.4836i | −0.0880582 | − | 0.612458i | −0.985289 | − | 0.170896i | \(-0.945334\pi\) |
0.897231 | − | 0.441562i | \(-0.145575\pi\) | |||||||
\(294\) | 0.721069 | − | 1.57892i | 0.0420536 | − | 0.0920846i | ||||
\(295\) | 0.971708 | − | 6.75838i | 0.0565750 | − | 0.393488i | ||||
\(296\) | 4.51516 | + | 2.90171i | 0.262438 | + | 0.168659i | ||||
\(297\) | −1.08040 | − | 1.24684i | −0.0626909 | − | 0.0723491i | ||||
\(298\) | 17.8058 | 1.03146 | ||||||||
\(299\) | 31.4119 | − | 6.48397i | 1.81660 | − | 0.374978i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −4.86870 | − | 5.61878i | −0.280627 | − | 0.323861i | ||||
\(302\) | −5.57905 | − | 3.58544i | −0.321038 | − | 0.206319i | ||||
\(303\) | 1.19954 | − | 8.34300i | 0.0689119 | − | 0.479293i | ||||
\(304\) | −0.0968356 | + | 0.212040i | −0.00555390 | + | 0.0121614i | ||||
\(305\) | 1.58607 | + | 11.0314i | 0.0908184 | + | 0.631656i | ||||
\(306\) | −7.02704 | − | 2.06332i | −0.401709 | − | 0.117952i | ||||
\(307\) | 27.1876 | − | 17.4724i | 1.55168 | − | 0.997202i | 0.566817 | − | 0.823844i | \(-0.308175\pi\) |
0.984859 | − | 0.173358i | \(-0.0554617\pi\) | |||||||
\(308\) | 2.02566 | + | 4.43558i | 0.115423 | + | 0.252741i | ||||
\(309\) | 0.922299 | − | 0.270811i | 0.0524678 | − | 0.0154059i | ||||
\(310\) | −0.426512 | + | 0.492221i | −0.0242242 | + | 0.0279563i | ||||
\(311\) | −12.2669 | + | 14.1567i | −0.695590 | + | 0.802754i | −0.988150 | − | 0.153494i | \(-0.950948\pi\) |
0.292560 | + | 0.956247i | \(0.405493\pi\) | |||||||
\(312\) | 6.41701 | − | 1.88420i | 0.363292 | − | 0.106672i | ||||
\(313\) | −9.46193 | − | 20.7187i | −0.534820 | − | 1.17109i | −0.963518 | − | 0.267644i | \(-0.913755\pi\) |
0.428698 | − | 0.903448i | \(-0.358972\pi\) | |||||||
\(314\) | 2.11918 | − | 1.36191i | 0.119592 | − | 0.0768572i | ||||
\(315\) | −2.83591 | − | 0.832699i | −0.159786 | − | 0.0469173i | ||||
\(316\) | −1.00557 | − | 6.99389i | −0.0565677 | − | 0.393437i | ||||
\(317\) | 0.256202 | − | 0.561004i | 0.0143897 | − | 0.0315091i | −0.902301 | − | 0.431107i | \(-0.858123\pi\) |
0.916690 | + | 0.399598i | \(0.130850\pi\) | |||||||
\(318\) | −0.00194948 | + | 0.0135589i | −0.000109321 | + | 0.000760347i | ||||
\(319\) | 11.9274 | + | 7.66526i | 0.667805 | + | 0.429172i | ||||
\(320\) | −0.654861 | − | 0.755750i | −0.0366078 | − | 0.0422477i | ||||
\(321\) | −10.8515 | −0.605669 | ||||||||
\(322\) | 4.81196 | + | 13.3330i | 0.268160 | + | 0.743017i | ||||
\(323\) | −1.70720 | −0.0949909 | ||||||||
\(324\) | −0.654861 | − | 0.755750i | −0.0363812 | − | 0.0419861i | ||||
\(325\) | −5.62623 | − | 3.61576i | −0.312087 | − | 0.200566i | ||||
\(326\) | 3.32414 | − | 23.1199i | 0.184107 | − | 1.28049i | ||||
\(327\) | −4.68530 | + | 10.2594i | −0.259098 | + | 0.567345i | ||||
\(328\) | −1.14986 | − | 7.99747i | −0.0634905 | − | 0.441586i | ||||
\(329\) | −10.7925 | − | 3.16896i | −0.595009 | − | 0.174710i | ||||
\(330\) | 1.38791 | − | 0.891954i | 0.0764018 | − | 0.0491005i | ||||
\(331\) | −14.6668 | − | 32.1159i | −0.806162 | − | 1.76525i | −0.623091 | − | 0.782149i | \(-0.714124\pi\) |
−0.183071 | − | 0.983100i | \(-0.558604\pi\) | |||||||
\(332\) | 3.35590 | − | 0.985382i | 0.184179 | − | 0.0540798i | ||||
\(333\) | −3.51475 | + | 4.05624i | −0.192607 | + | 0.222281i | ||||
\(334\) | −9.81501 | + | 11.3271i | −0.537053 | + | 0.619793i | ||||
\(335\) | 1.00724 | − | 0.295754i | 0.0550317 | − | 0.0161588i | ||||
\(336\) | 1.22782 | + | 2.68854i | 0.0669828 | + | 0.146672i | ||||
\(337\) | 20.0876 | − | 12.9095i | 1.09424 | − | 0.703226i | 0.136437 | − | 0.990649i | \(-0.456435\pi\) |
0.957804 | + | 0.287423i | \(0.0927985\pi\) | |||||||
\(338\) | −30.4430 | − | 8.93888i | −1.65588 | − | 0.486211i | ||||
\(339\) | 2.09031 | + | 14.5384i | 0.113530 | + | 0.789617i | ||||
\(340\) | 3.04237 | − | 6.66187i | 0.164996 | − | 0.361291i | ||||
\(341\) | −0.152921 | + | 1.06359i | −0.00828111 | + | 0.0575964i | ||||
\(342\) | −0.196101 | − | 0.126026i | −0.0106039 | − | 0.00681473i | ||||
\(343\) | 10.1891 | + | 11.7588i | 0.550157 | + | 0.634915i | ||||
\(344\) | 2.51544 | 0.135623 | ||||||||
\(345\) | 4.23342 | − | 2.25348i | 0.227920 | − | 0.121323i | ||||
\(346\) | 17.1917 | 0.924234 | ||||||||
\(347\) | −10.8750 | − | 12.5504i | −0.583799 | − | 0.673740i | 0.384618 | − | 0.923076i | \(-0.374333\pi\) |
−0.968417 | + | 0.249336i | \(0.919788\pi\) | |||||||
\(348\) | 7.22955 | + | 4.64615i | 0.387545 | + | 0.249060i | ||||
\(349\) | 0.566452 | − | 3.93976i | 0.0303215 | − | 0.210891i | −0.969028 | − | 0.246950i | \(-0.920572\pi\) |
0.999350 | + | 0.0360597i | \(0.0114806\pi\) | |||||||
\(350\) | 1.22782 | − | 2.68854i | 0.0656295 | − | 0.143709i | ||||
\(351\) | 0.951790 | + | 6.61984i | 0.0508028 | + | 0.353341i | ||||
\(352\) | −1.58298 | − | 0.464805i | −0.0843731 | − | 0.0247742i | ||||
\(353\) | −18.7243 | + | 12.0334i | −0.996594 | + | 0.640472i | −0.933890 | − | 0.357560i | \(-0.883609\pi\) |
−0.0627038 | + | 0.998032i | \(0.519972\pi\) | |||||||
\(354\) | −2.83640 | − | 6.21085i | −0.150753 | − | 0.330103i | ||||
\(355\) | 2.59048 | − | 0.760632i | 0.137488 | − | 0.0403702i | ||||
\(356\) | 4.08787 | − | 4.71765i | 0.216656 | − | 0.250035i | ||||
\(357\) | −14.1752 | + | 16.3591i | −0.750233 | + | 0.865815i | ||||
\(358\) | 0.410738 | − | 0.120604i | 0.0217082 | − | 0.00637410i | ||||
\(359\) | −8.50807 | − | 18.6301i | −0.449039 | − | 0.983257i | −0.989850 | − | 0.142114i | \(-0.954610\pi\) |
0.540812 | − | 0.841144i | \(-0.318117\pi\) | |||||||
\(360\) | 0.841254 | − | 0.540641i | 0.0443380 | − | 0.0284943i | ||||
\(361\) | 18.1782 | + | 5.33761i | 0.956749 | + | 0.280927i | ||||
\(362\) | −2.27087 | − | 15.7942i | −0.119354 | − | 0.830126i | ||||
\(363\) | −3.43886 | + | 7.53005i | −0.180493 | + | 0.395225i | ||||
\(364\) | 2.81314 | − | 19.5658i | 0.147449 | − | 1.02553i | ||||
\(365\) | −6.69571 | − | 4.30307i | −0.350469 | − | 0.225233i | ||||
\(366\) | 7.29831 | + | 8.42270i | 0.381489 | + | 0.440262i | ||||
\(367\) | −0.851290 | −0.0444370 | −0.0222185 | − | 0.999753i | \(-0.507073\pi\) | ||||
−0.0222185 | + | 0.999753i | \(0.507073\pi\) | |||||||
\(368\) | −4.47537 | − | 1.72369i | −0.233295 | − | 0.0898535i | ||||
\(369\) | 8.07971 | 0.420613 | ||||||||
\(370\) | −3.51475 | − | 4.05624i | −0.182723 | − | 0.210874i | ||||
\(371\) | 0.0340601 | + | 0.0218891i | 0.00176831 | + | 0.00113643i | ||||
\(372\) | −0.0926899 | + | 0.644672i | −0.00480574 | + | 0.0334247i | ||||
\(373\) | 8.08300 | − | 17.6993i | 0.418522 | − | 0.916435i | −0.576530 | − | 0.817076i | \(-0.695593\pi\) |
0.995052 | − | 0.0993592i | \(-0.0316793\pi\) | |||||||
\(374\) | −1.71955 | − | 11.9597i | −0.0889157 | − | 0.618422i | ||||
\(375\) | −0.959493 | − | 0.281733i | −0.0495480 | − | 0.0145486i | ||||
\(376\) | 3.20152 | − | 2.05749i | 0.165106 | − | 0.106107i | ||||
\(377\) | −23.8758 | − | 52.2807i | −1.22967 | − | 2.69259i | ||||
\(378\) | −2.83591 | + | 0.832699i | −0.145864 | + | 0.0428294i | ||||
\(379\) | 0.510397 | − | 0.589030i | 0.0262174 | − | 0.0302564i | −0.742489 | − | 0.669858i | \(-0.766355\pi\) |
0.768707 | + | 0.639601i | \(0.220901\pi\) | |||||||
\(380\) | 0.152652 | − | 0.176170i | 0.00783087 | − | 0.00903731i | ||||
\(381\) | 4.47029 | − | 1.31260i | 0.229020 | − | 0.0672464i | ||||
\(382\) | −3.66030 | − | 8.01494i | −0.187277 | − | 0.410080i | ||||
\(383\) | 9.92301 | − | 6.37713i | 0.507042 | − | 0.325856i | −0.261985 | − | 0.965072i | \(-0.584377\pi\) |
0.769028 | + | 0.639216i | \(0.220741\pi\) | |||||||
\(384\) | −0.959493 | − | 0.281733i | −0.0489639 | − | 0.0143771i | ||||
\(385\) | −0.693960 | − | 4.82660i | −0.0353675 | − | 0.245986i | ||||
\(386\) | −2.05626 | + | 4.50258i | −0.104661 | + | 0.229175i | ||||
\(387\) | −0.357984 | + | 2.48983i | −0.0181973 | + | 0.126565i | ||||
\(388\) | −5.32877 | − | 3.42459i | −0.270527 | − | 0.173857i | ||||
\(389\) | 21.2935 | + | 24.5740i | 1.07962 | + | 1.24595i | 0.967665 | + | 0.252238i | \(0.0811667\pi\) |
0.111958 | + | 0.993713i | \(0.464288\pi\) | |||||||
\(390\) | −6.68792 | −0.338656 | ||||||||
\(391\) | −2.13274 | − | 35.0584i | −0.107857 | − | 1.77298i | ||||
\(392\) | 1.73578 | 0.0876702 | ||||||||
\(393\) | −13.1569 | − | 15.1838i | −0.663676 | − | 0.765923i | ||||
\(394\) | 8.94597 | + | 5.74923i | 0.450692 | + | 0.289642i | ||||
\(395\) | −1.00557 | + | 6.99389i | −0.0505957 | + | 0.351901i | ||||
\(396\) | 0.685355 | − | 1.50072i | 0.0344404 | − | 0.0754140i | ||||
\(397\) | −4.42000 | − | 30.7418i | −0.221833 | − | 1.54288i | −0.731097 | − | 0.682274i | \(-0.760991\pi\) |
0.509263 | − | 0.860611i | \(-0.329918\pi\) | |||||||
\(398\) | 25.5009 | + | 7.48773i | 1.27824 | + | 0.375326i | ||||
\(399\) | −0.579603 | + | 0.372488i | −0.0290164 | + | 0.0186477i | ||||
\(400\) | 0.415415 | + | 0.909632i | 0.0207708 | + | 0.0454816i | ||||
\(401\) | 22.2668 | − | 6.53812i | 1.11195 | − | 0.326498i | 0.326360 | − | 0.945245i | \(-0.394178\pi\) |
0.785590 | + | 0.618747i | \(0.212359\pi\) | |||||||
\(402\) | 0.687452 | − | 0.793361i | 0.0342870 | − | 0.0395693i | ||||
\(403\) | 2.85248 | − | 3.29193i | 0.142092 | − | 0.163983i | ||||
\(404\) | 8.08737 | − | 2.37467i | 0.402362 | − | 0.118144i | ||||
\(405\) | 0.415415 | + | 0.909632i | 0.0206421 | + | 0.0452000i | ||||
\(406\) | 21.3679 | − | 13.7323i | 1.06047 | − | 0.681524i | ||||
\(407\) | −8.49613 | − | 2.49469i | −0.421138 | − | 0.123657i | ||||
\(408\) | −1.04227 | − | 7.24915i | −0.0516001 | − | 0.358887i | ||||
\(409\) | −2.73022 | + | 5.97836i | −0.135001 | + | 0.295611i | −0.965044 | − | 0.262089i | \(-0.915589\pi\) |
0.830043 | + | 0.557700i | \(0.188316\pi\) | |||||||
\(410\) | −1.14986 | + | 7.99747i | −0.0567876 | + | 0.394967i | ||||
\(411\) | 15.7084 | + | 10.0952i | 0.774838 | + | 0.497958i | ||||
\(412\) | 0.629476 | + | 0.726454i | 0.0310120 | + | 0.0357898i | ||||
\(413\) | −20.1807 | −0.993028 | ||||||||
\(414\) | 2.34306 | − | 4.18451i | 0.115155 | − | 0.205657i | ||||
\(415\) | −3.49758 | −0.171689 | ||||||||
\(416\) | 4.37966 | + | 5.05439i | 0.214730 | + | 0.247812i | ||||
\(417\) | 11.2092 | + | 7.20371i | 0.548916 | + | 0.352767i | ||||
\(418\) | 0.0547314 | − | 0.380665i | 0.00267700 | − | 0.0186190i | ||||
\(419\) | 12.7252 | − | 27.8643i | 0.621667 | − | 1.36126i | −0.292633 | − | 0.956225i | \(-0.594532\pi\) |
0.914301 | − | 0.405036i | \(-0.132741\pi\) | |||||||
\(420\) | −0.420631 | − | 2.92555i | −0.0205247 | − | 0.142752i | ||||
\(421\) | 27.3653 | + | 8.03518i | 1.33370 | + | 0.391611i | 0.869419 | − | 0.494075i | \(-0.164493\pi\) |
0.464285 | + | 0.885686i | \(0.346311\pi\) | |||||||
\(422\) | 18.8146 | − | 12.0914i | 0.915879 | − | 0.588599i | ||||
\(423\) | 1.58092 | + | 3.46174i | 0.0768671 | + | 0.168316i | ||||
\(424\) | −0.0131435 | + | 0.00385927i | −0.000638304 | + | 0.000187423i | ||||
\(425\) | −4.79600 | + | 5.53488i | −0.232640 | + | 0.268481i | ||||
\(426\) | 1.76802 | − | 2.04040i | 0.0856608 | − | 0.0988578i | ||||
\(427\) | 31.6057 | − | 9.28029i | 1.52951 | − | 0.449104i | ||||
\(428\) | −4.50786 | − | 9.87083i | −0.217895 | − | 0.477124i | ||||
\(429\) | −9.28221 | + | 5.96532i | −0.448149 | + | 0.288008i | ||||
\(430\) | −2.41354 | − | 0.708680i | −0.116391 | − | 0.0341756i | ||||
\(431\) | 1.15571 | + | 8.03815i | 0.0556687 | + | 0.387184i | 0.998540 | + | 0.0540257i | \(0.0172053\pi\) |
−0.942871 | + | 0.333158i | \(0.891886\pi\) | |||||||
\(432\) | 0.415415 | − | 0.909632i | 0.0199867 | − | 0.0437647i | ||||
\(433\) | 0.241134 | − | 1.67712i | 0.0115882 | − | 0.0805974i | −0.983207 | − | 0.182496i | \(-0.941582\pi\) |
0.994795 | + | 0.101898i | \(0.0324916\pi\) | |||||||
\(434\) | 1.61942 | + | 1.04074i | 0.0777347 | + | 0.0499571i | ||||
\(435\) | −5.62773 | − | 6.49475i | −0.269829 | − | 0.311399i | ||||
\(436\) | −11.2786 | −0.540147 | ||||||||
\(437\) | 0.249245 | − | 1.08980i | 0.0119230 | − | 0.0521321i | ||||
\(438\) | −7.95920 | −0.380305 | ||||||||
\(439\) | −4.91735 | − | 5.67493i | −0.234692 | − | 0.270849i | 0.626171 | − | 0.779686i | \(-0.284621\pi\) |
−0.860863 | + | 0.508836i | \(0.830076\pi\) | |||||||
\(440\) | 1.38791 | + | 0.891954i | 0.0661659 | + | 0.0425222i | ||||
\(441\) | −0.247027 | + | 1.71811i | −0.0117632 | + | 0.0818149i | ||||
\(442\) | −20.3472 | + | 44.5540i | −0.967815 | + | 2.11922i | ||||
\(443\) | 5.94970 | + | 41.3810i | 0.282679 | + | 1.96607i | 0.257038 | + | 0.966401i | \(0.417253\pi\) |
0.0256402 | + | 0.999671i | \(0.491838\pi\) | |||||||
\(444\) | −5.14977 | − | 1.51211i | −0.244397 | − | 0.0717615i | ||||
\(445\) | −5.25139 | + | 3.37487i | −0.248940 | + | 0.159984i | ||||
\(446\) | 5.60665 | + | 12.2769i | 0.265483 | + | 0.581326i | ||||
\(447\) | −17.0846 | + | 5.01648i | −0.808072 | + | 0.237271i | ||||
\(448\) | −1.93553 | + | 2.23372i | −0.0914452 | + | 0.105533i | ||||
\(449\) | −19.2190 | + | 22.1799i | −0.907000 | + | 1.04673i | 0.0917017 | + | 0.995787i | \(0.470769\pi\) |
−0.998701 | + | 0.0509469i | \(0.983776\pi\) | |||||||
\(450\) | −0.959493 | + | 0.281733i | −0.0452309 | + | 0.0132810i | ||||
\(451\) | 5.53747 | + | 12.1254i | 0.260749 | + | 0.570961i | ||||
\(452\) | −12.3562 | + | 7.94088i | −0.581189 | + | 0.373507i | ||||
\(453\) | 6.36320 | + | 1.86840i | 0.298969 | + | 0.0877852i | ||||
\(454\) | −2.69673 | − | 18.7562i | −0.126564 | − | 0.880272i | ||||
\(455\) | −8.21153 | + | 17.9807i | −0.384962 | + | 0.842950i | ||||
\(456\) | 0.0331744 | − | 0.230733i | 0.00155353 | − | 0.0108051i | ||||
\(457\) | −12.9653 | − | 8.33231i | −0.606492 | − | 0.389769i | 0.201048 | − | 0.979581i | \(-0.435565\pi\) |
−0.807540 | + | 0.589812i | \(0.799202\pi\) | |||||||
\(458\) | 13.8975 | + | 16.0385i | 0.649386 | + | 0.749432i | ||||
\(459\) | 7.32370 | 0.341841 | ||||||||
\(460\) | 3.80846 | + | 2.91472i | 0.177570 | + | 0.135900i | ||||
\(461\) | 33.7344 | 1.57117 | 0.785585 | − | 0.618754i | \(-0.212362\pi\) | ||||
0.785585 | + | 0.618754i | \(0.212362\pi\) | |||||||
\(462\) | −3.19325 | − | 3.68521i | −0.148564 | − | 0.171452i | ||||
\(463\) | −3.96382 | − | 2.54739i | −0.184215 | − | 0.118387i | 0.445283 | − | 0.895390i | \(-0.353103\pi\) |
−0.629498 | + | 0.777002i | \(0.716739\pi\) | |||||||
\(464\) | −1.22302 | + | 8.50631i | −0.0567774 | + | 0.394896i | ||||
\(465\) | 0.270560 | − | 0.592445i | 0.0125469 | − | 0.0274740i | ||||
\(466\) | −0.802357 | − | 5.58052i | −0.0371685 | − | 0.258512i | ||||
\(467\) | 15.0653 | + | 4.42358i | 0.697141 | + | 0.204699i | 0.611054 | − | 0.791589i | \(-0.290746\pi\) |
0.0860866 | + | 0.996288i | \(0.472564\pi\) | |||||||
\(468\) | −5.62623 | + | 3.61576i | −0.260073 | + | 0.167139i | ||||
\(469\) | −1.28892 | − | 2.82234i | −0.0595168 | − | 0.130324i | ||||
\(470\) | −3.65149 | + | 1.07218i | −0.168431 | + | 0.0494557i | ||||
\(471\) | −1.64964 | + | 1.90379i | −0.0760115 | + | 0.0877219i | ||||
\(472\) | 4.47131 | − | 5.16016i | 0.205809 | − | 0.237516i | ||||
\(473\) | −3.98188 | + | 1.16919i | −0.183087 | + | 0.0537593i | ||||
\(474\) | 2.93524 | + | 6.42729i | 0.134820 | + | 0.295215i | ||||
\(475\) | −0.196101 | + | 0.126026i | −0.00899773 | + | 0.00578249i | ||||
\(476\) | −20.7694 | − | 6.09843i | −0.951962 | − | 0.279521i | ||||
\(477\) | −0.00194948 | − | 0.0135589i | −8.92605e−5 | − | 0.000620821i | ||||
\(478\) | 7.90267 | − | 17.3044i | 0.361460 | − | 0.791486i | ||||
\(479\) | −5.24382 | + | 36.4716i | −0.239596 | + | 1.66643i | 0.414524 | + | 0.910038i | \(0.363948\pi\) |
−0.654121 | + | 0.756390i | \(0.726961\pi\) | |||||||
\(480\) | 0.841254 | + | 0.540641i | 0.0383978 | + | 0.0246768i | ||||
\(481\) | 23.5064 | + | 27.1278i | 1.07180 | + | 1.23692i | ||||
\(482\) | −11.9226 | −0.543061 | ||||||||
\(483\) | −8.37337 | − | 11.4372i | −0.381002 | − | 0.520411i | ||||
\(484\) | −8.27813 | −0.376279 | ||||||||
\(485\) | 4.14810 | + | 4.78716i | 0.188355 | + | 0.217374i | ||||
\(486\) | 0.841254 | + | 0.540641i | 0.0381600 | + | 0.0245240i | ||||
\(487\) | 2.32553 | − | 16.1744i | 0.105380 | − | 0.732932i | −0.866793 | − | 0.498668i | \(-0.833823\pi\) |
0.972173 | − | 0.234264i | \(-0.0752682\pi\) | |||||||
\(488\) | −4.62973 | + | 10.1377i | −0.209578 | + | 0.458912i | ||||
\(489\) | 3.32414 | + | 23.1199i | 0.150323 | + | 1.04552i | ||||
\(490\) | −1.66547 | − | 0.489026i | −0.0752382 | − | 0.0220919i | ||||
\(491\) | −17.6675 | + | 11.3542i | −0.797322 | + | 0.512408i | −0.874741 | − | 0.484591i | \(-0.838968\pi\) |
0.0774190 | + | 0.996999i | \(0.475332\pi\) | |||||||
\(492\) | 3.35643 | + | 7.34956i | 0.151320 | + | 0.331344i | ||||
\(493\) | −60.3888 | + | 17.7318i | −2.71978 | + | 0.798598i | ||||
\(494\) | −1.02092 | + | 1.17821i | −0.0459335 | + | 0.0530101i | ||||
\(495\) | −1.08040 | + | 1.24684i | −0.0485601 | + | 0.0560414i | ||||
\(496\) | −0.624919 | + | 0.183493i | −0.0280597 | + | 0.00823907i | ||||
\(497\) | −3.31490 | − | 7.25862i | −0.148694 | − | 0.325594i | ||||
\(498\) | −2.94235 | + | 1.89093i | −0.131850 | + | 0.0847348i | ||||
\(499\) | 19.6796 | + | 5.77846i | 0.880981 | + | 0.258679i | 0.690779 | − | 0.723066i | \(-0.257268\pi\) |
0.190202 | + | 0.981745i | \(0.439086\pi\) | |||||||
\(500\) | −0.142315 | − | 0.989821i | −0.00636451 | − | 0.0442662i | ||||
\(501\) | 6.22621 | − | 13.6335i | 0.278167 | − | 0.609100i | ||||
\(502\) | −2.90865 | + | 20.2301i | −0.129819 | + | 0.902913i | ||||
\(503\) | −4.09119 | − | 2.62925i | −0.182417 | − | 0.117232i | 0.446245 | − | 0.894911i | \(-0.352761\pi\) |
−0.628662 | + | 0.777678i | \(0.716397\pi\) | |||||||
\(504\) | −1.93553 | − | 2.23372i | −0.0862153 | − | 0.0994978i | ||||
\(505\) | −8.42880 | −0.375076 | ||||||||
\(506\) | 7.88559 | + | 0.648394i | 0.350557 | + | 0.0288246i | ||||
\(507\) | 31.7282 | 1.40910 | ||||||||
\(508\) | 3.05101 | + | 3.52105i | 0.135367 | + | 0.156221i | ||||
\(509\) | −0.440429 | − | 0.283047i | −0.0195217 | − | 0.0125458i | 0.530844 | − | 0.847470i | \(-0.321875\pi\) |
−0.550365 | + | 0.834924i | \(0.685512\pi\) | |||||||
\(510\) | −1.04227 | + | 7.24915i | −0.0461525 | + | 0.320998i | ||||
\(511\) | −9.77243 | + | 21.3986i | −0.432307 | + | 0.946620i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | 0.223663 | + | 0.0656735i | 0.00987498 | + | 0.00289955i | ||||
\(514\) | −0.792828 | + | 0.509519i | −0.0349701 | + | 0.0224739i | ||||
\(515\) | −0.399312 | − | 0.874371i | −0.0175958 | − | 0.0385294i | ||||
\(516\) | −2.41354 | + | 0.708680i | −0.106250 | + | 0.0311979i | ||||
\(517\) | −4.11160 | + | 4.74504i | −0.180828 | + | 0.208687i | ||||
\(518\) | −10.3883 | + | 11.9888i | −0.456437 | + | 0.526756i | ||||
\(519\) | −16.4954 | + | 4.84347i | −0.724066 | + | 0.212605i | ||||
\(520\) | −2.77826 | − | 6.08354i | −0.121835 | − | 0.266781i | ||||
\(521\) | 12.1195 | − | 7.78875i | 0.530967 | − | 0.341232i | −0.247530 | − | 0.968880i | \(-0.579619\pi\) |
0.778497 | + | 0.627649i | \(0.215983\pi\) | |||||||
\(522\) | −8.24567 | − | 2.42115i | −0.360903 | − | 0.105971i | ||||
\(523\) | −5.76917 | − | 40.1255i | −0.252268 | − | 1.75456i | −0.584525 | − | 0.811376i | \(-0.698719\pi\) |
0.332257 | − | 0.943189i | \(-0.392190\pi\) | |||||||
\(524\) | 8.34614 | − | 18.2755i | 0.364603 | − | 0.798369i | ||||
\(525\) | −0.420631 | + | 2.92555i | −0.0183578 | + | 0.127682i | ||||
\(526\) | −2.79477 | − | 1.79609i | −0.121858 | − | 0.0783132i | ||||
\(527\) | −3.12364 | − | 3.60488i | −0.136068 | − | 0.157031i | ||||
\(528\) | 1.64981 | 0.0717987 | ||||||||
\(529\) | 22.6911 | + | 3.75696i | 0.986569 | + | 0.163346i | ||||
\(530\) | 0.0136984 | 0.000595019 | ||||||||
\(531\) | 4.47131 | + | 5.16016i | 0.194038 | + | 0.223932i | ||||
\(532\) | −0.579603 | − | 0.372488i | −0.0251290 | − | 0.0161494i | ||||
\(533\) | 7.69018 | − | 53.4864i | 0.333099 | − | 2.31675i | ||||
\(534\) | −2.59316 | + | 5.67823i | −0.112217 | + | 0.245721i | ||||
\(535\) | 1.54432 | + | 10.7410i | 0.0667669 | + | 0.464374i | ||||
\(536\) | 1.00724 | + | 0.295754i | 0.0435063 | + | 0.0127746i | ||||
\(537\) | −0.360123 | + | 0.231437i | −0.0155404 | + | 0.00998723i | ||||
\(538\) | 0.226869 | + | 0.496774i | 0.00978103 | + | 0.0214175i | ||||
\(539\) | −2.74771 | + | 0.806799i | −0.118352 | + | 0.0347513i | ||||
\(540\) | −0.654861 | + | 0.755750i | −0.0281807 | + | 0.0325223i | ||||
\(541\) | −4.64461 | + | 5.36016i | −0.199687 | + | 0.230451i | −0.846758 | − | 0.531979i | \(-0.821449\pi\) |
0.647070 | + | 0.762430i | \(0.275994\pi\) | |||||||
\(542\) | 18.2136 | − | 5.34801i | 0.782343 | − | 0.229717i | ||||
\(543\) | 6.62863 | + | 14.5147i | 0.284462 | + | 0.622884i | ||||
\(544\) | 6.16109 | − | 3.95949i | 0.264154 | − | 0.169762i | ||||
\(545\) | 10.8217 | + | 3.17755i | 0.463553 | + | 0.136111i | ||||
\(546\) | 2.81314 | + | 19.5658i | 0.120391 | + | 0.837341i | ||||
\(547\) | −13.9912 | + | 30.6366i | −0.598223 | + | 1.30992i | 0.332121 | + | 0.943237i | \(0.392236\pi\) |
−0.930344 | + | 0.366688i | \(0.880492\pi\) | |||||||
\(548\) | −2.65739 | + | 18.4826i | −0.113518 | + | 0.789535i | ||||
\(549\) | −9.37563 | − | 6.02535i | −0.400142 | − | 0.257156i | ||||
\(550\) | −1.08040 | − | 1.24684i | −0.0460682 | − | 0.0531655i | ||||
\(551\) | −2.00326 | −0.0853417 | ||||||||
\(552\) | 4.77970 | + | 0.393012i | 0.203438 | + | 0.0167277i | ||||
\(553\) | 20.8840 | 0.888077 | ||||||||
\(554\) | −2.71878 | − | 3.13764i | −0.115510 | − | 0.133306i | ||||
\(555\) | 4.51516 | + | 2.90171i | 0.191658 | + | 0.123171i | ||||
\(556\) | −1.89626 | + | 13.1888i | −0.0804192 | + | 0.559328i | ||||
\(557\) | −0.864454 | + | 1.89289i | −0.0366281 | + | 0.0802043i | −0.927062 | − | 0.374909i | \(-0.877674\pi\) |
0.890434 | + | 0.455113i | \(0.150401\pi\) | |||||||
\(558\) | −0.0926899 | − | 0.644672i | −0.00392387 | − | 0.0272911i | ||||
\(559\) | 16.1416 | + | 4.73959i | 0.682716 | + | 0.200463i | ||||
\(560\) | 2.48644 | − | 1.59794i | 0.105071 | − | 0.0675252i | ||||
\(561\) | 5.01934 | + | 10.9908i | 0.211917 | + | 0.464033i | ||||
\(562\) | −1.89718 | + | 0.557063i | −0.0800278 | + | 0.0234983i | ||||
\(563\) | 12.4860 | − | 14.4096i | 0.526220 | − | 0.607290i | −0.428957 | − | 0.903325i | \(-0.641119\pi\) |
0.955177 | + | 0.296034i | \(0.0956643\pi\) | |||||||
\(564\) | −2.49217 | + | 2.87612i | −0.104939 | + | 0.121106i | ||||
\(565\) | 14.0929 | − | 4.13806i | 0.592894 | − | 0.174089i | ||||
\(566\) | −6.05084 | − | 13.2495i | −0.254336 | − | 0.556918i | ||||
\(567\) | 2.48644 | − | 1.59794i | 0.104421 | − | 0.0671071i | ||||
\(568\) | 2.59048 | + | 0.760632i | 0.108694 | + | 0.0319154i | ||||
\(569\) | −6.21587 | − | 43.2323i | −0.260583 | − | 1.81239i | −0.528480 | − | 0.848946i | \(-0.677238\pi\) |
0.267897 | − | 0.963447i | \(-0.413671\pi\) | |||||||
\(570\) | −0.0968356 | + | 0.212040i | −0.00405600 | + | 0.00888140i | ||||
\(571\) | −6.09172 | + | 42.3688i | −0.254931 | + | 1.77308i | 0.312753 | + | 0.949834i | \(0.398749\pi\) |
−0.567684 | + | 0.823247i | \(0.692160\pi\) | |||||||
\(572\) | −9.28221 | − | 5.96532i | −0.388109 | − | 0.249422i | ||||
\(573\) | 5.77010 | + | 6.65905i | 0.241049 | + | 0.278186i | ||||
\(574\) | 23.8807 | 0.996760 | ||||||||
\(575\) | −2.83302 | − | 3.86962i | −0.118145 | − | 0.161375i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −4.46207 | − | 5.14951i | −0.185759 | − | 0.214377i | 0.655230 | − | 0.755429i | \(-0.272572\pi\) |
−0.840989 | + | 0.541052i | \(0.818026\pi\) | |||||||
\(578\) | 30.8206 | + | 19.8072i | 1.28197 | + | 0.823872i | ||||
\(579\) | 0.704443 | − | 4.89951i | 0.0292756 | − | 0.203617i | ||||
\(580\) | 3.56999 | − | 7.81718i | 0.148236 | − | 0.324591i | ||||
\(581\) | 1.47119 | + | 10.2323i | 0.0610352 | + | 0.424509i | ||||
\(582\) | 6.07774 | + | 1.78458i | 0.251930 | + | 0.0739734i | ||||
\(583\) | 0.0190121 | − | 0.0122183i | 0.000787399 | − | 0.000506030i | ||||
\(584\) | −3.30637 | − | 7.23994i | −0.136819 | − | 0.299591i | ||||
\(585\) | 6.41701 | − | 1.88420i | 0.265311 | − | 0.0779023i | ||||
\(586\) | −6.93589 | + | 8.00445i | −0.286519 | + | 0.330661i | ||||
\(587\) | −27.3739 | + | 31.5911i | −1.12984 | + | 1.30391i | −0.182671 | + | 0.983174i | \(0.558474\pi\) |
−0.947170 | + | 0.320732i | \(0.896071\pi\) | |||||||
\(588\) | −1.66547 | + | 0.489026i | −0.0686828 | + | 0.0201671i | ||||
\(589\) | −0.0630692 | − | 0.138102i | −0.00259872 | − | 0.00569040i | ||||
\(590\) | −5.74397 | + | 3.69143i | −0.236476 | + | 0.151974i | ||||
\(591\) | −10.2033 | − | 2.99597i | −0.419709 | − | 0.123238i | ||||
\(592\) | −0.763829 | − | 5.31255i | −0.0313932 | − | 0.218344i | ||||
\(593\) | −11.5354 | + | 25.2591i | −0.473704 | + | 1.03727i | 0.510443 | + | 0.859912i | \(0.329481\pi\) |
−0.984147 | + | 0.177355i | \(0.943246\pi\) | |||||||
\(594\) | −0.234792 | + | 1.63302i | −0.00963364 | + | 0.0670035i | ||||
\(595\) | 18.2099 | + | 11.7028i | 0.746534 | + | 0.479768i | ||||
\(596\) | −11.6603 | − | 13.4567i | −0.477626 | − | 0.551210i | ||||
\(597\) | −26.5774 | −1.08774 | ||||||||
\(598\) | −25.4707 | − | 19.4934i | −1.04157 | − | 0.797146i | ||||
\(599\) | −25.8304 | −1.05540 | −0.527701 | − | 0.849430i | \(-0.676946\pi\) | ||||
−0.527701 | + | 0.849430i | \(0.676946\pi\) | |||||||
\(600\) | −0.654861 | − | 0.755750i | −0.0267346 | − | 0.0308533i | ||||
\(601\) | 23.9714 | + | 15.4055i | 0.977812 | + | 0.628402i | 0.928872 | − | 0.370400i | \(-0.120779\pi\) |
0.0489397 | + | 0.998802i | \(0.484416\pi\) | |||||||
\(602\) | −1.05807 | + | 7.35904i | −0.0431237 | + | 0.299932i | ||||
\(603\) | −0.436089 | + | 0.954902i | −0.0177589 | + | 0.0388866i | ||||
\(604\) | 0.943808 | + | 6.56433i | 0.0384030 | + | 0.267099i | ||||
\(605\) | 7.94281 | + | 2.33222i | 0.322921 | + | 0.0948182i | ||||
\(606\) | −7.09075 | + | 4.55695i | −0.288042 | + | 0.185113i | ||||
\(607\) | −6.53336 | − | 14.3061i | −0.265181 | − | 0.580665i | 0.729464 | − | 0.684019i | \(-0.239770\pi\) |
−0.994645 | + | 0.103354i | \(0.967042\pi\) | |||||||
\(608\) | 0.223663 | − | 0.0656735i | 0.00907074 | − | 0.00266341i | ||||
\(609\) | −16.6335 | + | 19.1961i | −0.674024 | + | 0.777865i | ||||
\(610\) | 7.29831 | − | 8.42270i | 0.295500 | − | 0.341025i | ||||
\(611\) | 24.4209 | − | 7.17062i | 0.987963 | − | 0.290092i | ||||
\(612\) | 3.04237 | + | 6.66187i | 0.122981 | + | 0.269290i | ||||
\(613\) | 16.2031 | − | 10.4131i | 0.654438 | − | 0.420582i | −0.170847 | − | 0.985298i | \(-0.554651\pi\) |
0.825286 | + | 0.564716i | \(0.191014\pi\) | |||||||
\(614\) | −31.0088 | − | 9.10501i | −1.25141 | − | 0.367448i | ||||
\(615\) | −1.14986 | − | 7.99747i | −0.0463669 | − | 0.322489i | ||||
\(616\) | 2.02566 | − | 4.43558i | 0.0816162 | − | 0.178715i | ||||
\(617\) | 2.83713 | − | 19.7327i | 0.114219 | − | 0.794409i | −0.849519 | − | 0.527558i | \(-0.823108\pi\) |
0.963738 | − | 0.266851i | \(-0.0859831\pi\) | |||||||
\(618\) | −0.808643 | − | 0.519683i | −0.0325284 | − | 0.0209047i | ||||
\(619\) | 4.16549 | + | 4.80723i | 0.167425 | + | 0.193219i | 0.833262 | − | 0.552879i | \(-0.186471\pi\) |
−0.665837 | + | 0.746098i | \(0.731925\pi\) | |||||||
\(620\) | 0.651301 | 0.0261569 | ||||||||
\(621\) | −1.06923 | + | 4.67512i | −0.0429069 | + | 0.187606i | ||||
\(622\) | 18.7320 | 0.751085 | ||||||||
\(623\) | 12.0822 | + | 13.9436i | 0.484065 | + | 0.558640i | ||||
\(624\) | −5.62623 | − | 3.61576i | −0.225230 | − | 0.144746i | ||||
\(625\) | −0.142315 | + | 0.989821i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | −9.46193 | + | 20.7187i | −0.378175 | + | 0.828087i | ||||
\(627\) | 0.0547314 | + | 0.380665i | 0.00218576 | + | 0.0152023i | ||||
\(628\) | −2.41703 | − | 0.709705i | −0.0964501 | − | 0.0283203i | ||||
\(629\) | 33.0676 | − | 21.2513i | 1.31849 | − | 0.847344i | ||||
\(630\) | 1.22782 | + | 2.68854i | 0.0489173 | + | 0.107114i | ||||
\(631\) | −12.6522 | + | 3.71501i | −0.503675 | + | 0.147892i | −0.523692 | − | 0.851907i | \(-0.675446\pi\) |
0.0200178 | + | 0.999800i | \(0.493628\pi\) | |||||||
\(632\) | −4.62712 | + | 5.33998i | −0.184057 | + | 0.212413i | ||||
\(633\) | −14.6459 | + | 16.9023i | −0.582122 | + | 0.671805i | ||||
\(634\) | −0.591755 | + | 0.173755i | −0.0235016 | + | 0.00690069i | ||||
\(635\) | −1.93543 | − | 4.23799i | −0.0768050 | − | 0.168180i | ||||
\(636\) | 0.0115238 | − | 0.00740589i | 0.000456948 | − | 0.000293663i | ||||
\(637\) | 11.1385 | + | 3.27057i | 0.441324 | + | 0.129585i | ||||
\(638\) | −2.01775 | − | 14.0338i | −0.0798836 | − | 0.555603i | ||||
\(639\) | −1.12155 | + | 2.45586i | −0.0443680 | + | 0.0971523i | ||||
\(640\) | −0.142315 | + | 0.989821i | −0.00562549 | + | 0.0391261i | ||||
\(641\) | −19.9430 | − | 12.8166i | −0.787701 | − | 0.506225i | 0.0838803 | − | 0.996476i | \(-0.473269\pi\) |
−0.871581 | + | 0.490251i | \(0.836905\pi\) | |||||||
\(642\) | 7.10619 | + | 8.20098i | 0.280459 | + | 0.323667i | ||||
\(643\) | −1.53887 | −0.0606871 | −0.0303436 | − | 0.999540i | \(-0.509660\pi\) | ||||
−0.0303436 | + | 0.999540i | \(0.509660\pi\) | |||||||
\(644\) | 6.92522 | − | 12.3679i | 0.272892 | − | 0.487363i | ||||
\(645\) | 2.51544 | 0.0990452 | ||||||||
\(646\) | 1.11798 | + | 1.29021i | 0.0439862 | + | 0.0507627i | ||||
\(647\) | −25.8876 | − | 16.6370i | −1.01775 | − | 0.654066i | −0.0783602 | − | 0.996925i | \(-0.524968\pi\) |
−0.939387 | + | 0.342859i | \(0.888605\pi\) | |||||||
\(648\) | −0.142315 | + | 0.989821i | −0.00559065 | + | 0.0388839i | ||||
\(649\) | −4.67952 | + | 10.2467i | −0.183687 | + | 0.402219i | ||||
\(650\) | 0.951790 | + | 6.61984i | 0.0373323 | + | 0.259652i | ||||
\(651\) | −1.84703 | − | 0.542338i | −0.0723909 | − | 0.0212559i | ||||
\(652\) | −19.6497 | + | 12.6281i | −0.769543 | + | 0.494555i | ||||
\(653\) | 16.2720 | + | 35.6307i | 0.636773 | + | 1.39434i | 0.902668 | + | 0.430337i | \(0.141605\pi\) |
−0.265895 | + | 0.964002i | \(0.585668\pi\) | |||||||
\(654\) | 10.8217 | − | 3.17755i | 0.423164 | − | 0.124252i | ||||
\(655\) | −13.1569 | + | 15.1838i | −0.514081 | + | 0.593281i | ||||
\(656\) | −5.29108 | + | 6.10623i | −0.206582 | + | 0.238408i | ||||
\(657\) | 7.63680 | − | 2.24237i | 0.297940 | − | 0.0874830i | ||||
\(658\) | 4.67263 | + | 10.2316i | 0.182158 | + | 0.398871i | ||||
\(659\) | −31.4252 | + | 20.1958i | −1.22415 | + | 0.786716i | −0.982970 | − | 0.183764i | \(-0.941172\pi\) |
−0.241183 | + | 0.970480i | \(0.577535\pi\) | |||||||
\(660\) | −1.58298 | − | 0.464805i | −0.0616174 | − | 0.0180925i | ||||
\(661\) | −0.448287 | − | 3.11791i | −0.0174364 | − | 0.121272i | 0.979244 | − | 0.202684i | \(-0.0649664\pi\) |
−0.996681 | + | 0.0814113i | \(0.974057\pi\) | |||||||
\(662\) | −14.6668 | + | 32.1159i | −0.570043 | + | 1.24822i | ||||
\(663\) | 6.97062 | − | 48.4817i | 0.270717 | − | 1.88288i | ||||
\(664\) | −2.94235 | − | 1.89093i | −0.114185 | − | 0.0733825i | ||||
\(665\) | 0.451183 | + | 0.520693i | 0.0174961 | + | 0.0201916i | ||||
\(666\) | 5.36718 | 0.207974 | ||||||||
\(667\) | −2.50260 | − | 41.1383i | −0.0969012 | − | 1.59288i | ||||
\(668\) | 14.9879 | 0.579901 | ||||||||
\(669\) | −8.83833 | − | 10.2000i | −0.341710 | − | 0.394354i | ||||
\(670\) | −0.883121 | − | 0.567547i | −0.0341179 | − | 0.0219263i | ||||
\(671\) | 2.61672 | − | 18.1997i | 0.101017 | − | 0.702591i | ||||
\(672\) | 1.22782 | − | 2.68854i | 0.0473640 | − | 0.103713i | ||||
\(673\) | −0.222339 | − | 1.54640i | −0.00857055 | − | 0.0596095i | 0.985087 | − | 0.172055i | \(-0.0550407\pi\) |
−0.993658 | + | 0.112446i | \(0.964132\pi\) | |||||||
\(674\) | −22.9109 | − | 6.72726i | −0.882496 | − | 0.259124i | ||||
\(675\) | 0.841254 | − | 0.540641i | 0.0323799 | − | 0.0208093i | ||||
\(676\) | 13.1804 | + | 28.8610i | 0.506938 | + | 1.11004i | ||||
\(677\) | −8.99713 | + | 2.64180i | −0.345788 | + | 0.101532i | −0.450015 | − | 0.893021i | \(-0.648581\pi\) |
0.104227 | + | 0.994554i | \(0.466763\pi\) | |||||||
\(678\) | 9.61853 | − | 11.1004i | 0.369397 | − | 0.426307i | ||||
\(679\) | 12.2603 | − | 14.1491i | 0.470506 | − | 0.542993i | ||||
\(680\) | −7.02704 | + | 2.06332i | −0.269475 | + | 0.0791249i | ||||
\(681\) | 7.87173 | + | 17.2367i | 0.301645 | + | 0.660511i | ||||
\(682\) | 0.903946 | − | 0.580931i | 0.0346139 | − | 0.0222450i | ||||
\(683\) | 26.6419 | + | 7.82275i | 1.01942 | + | 0.299329i | 0.748403 | − | 0.663245i | \(-0.230821\pi\) |
0.271019 | + | 0.962574i | \(0.412639\pi\) | |||||||
\(684\) | 0.0331744 | + | 0.230733i | 0.00126845 | + | 0.00882230i | ||||
\(685\) | 7.75688 | − | 16.9852i | 0.296375 | − | 0.648971i | ||||
\(686\) | 2.21429 | − | 15.4007i | 0.0845421 | − | 0.588003i | ||||
\(687\) | −17.8531 | − | 11.4735i | −0.681138 | − | 0.437741i | ||||
\(688\) | −1.64726 | − | 1.90104i | −0.0628012 | − | 0.0724764i | ||||
\(689\) | −0.0916135 | −0.00349020 | ||||||||
\(690\) | −4.47537 | − | 1.72369i | −0.170374 | − | 0.0656197i | ||||
\(691\) | 27.5794 | 1.04917 | 0.524584 | − | 0.851359i | \(-0.324221\pi\) | ||||
0.524584 | + | 0.851359i | \(0.324221\pi\) | |||||||
\(692\) | −11.2582 | − | 12.9927i | −0.427972 | − | 0.493907i | ||||
\(693\) | 4.10215 | + | 2.63629i | 0.155828 | + | 0.100144i | ||||
\(694\) | −2.36336 | + | 16.4375i | −0.0897118 | + | 0.623959i | ||||
\(695\) | 5.53515 | − | 12.1203i | 0.209960 | − | 0.459749i | ||||
\(696\) | −1.22302 | − | 8.50631i | −0.0463586 | − | 0.322431i | ||||
\(697\) | −56.7764 | − | 16.6711i | −2.15056 | − | 0.631461i | ||||
\(698\) | −3.34842 | + | 2.15190i | −0.126740 | + | 0.0814506i | ||||
\(699\) | 2.34207 | + | 5.12842i | 0.0885852 | + | 0.193974i | ||||
\(700\) | −2.83591 | + | 0.832699i | −0.107187 | + | 0.0314731i | ||||
\(701\) | 9.06539 | − | 10.4620i | 0.342395 | − | 0.395145i | −0.558270 | − | 0.829659i | \(-0.688535\pi\) |
0.900665 | + | 0.434515i | \(0.143080\pi\) | |||||||
\(702\) | 4.37966 | − | 5.05439i | 0.165299 | − | 0.190766i | ||||
\(703\) | 1.20044 | − | 0.352481i | 0.0452755 | − | 0.0132941i | ||||
\(704\) | 0.685355 | + | 1.50072i | 0.0258303 | + | 0.0565605i | ||||
\(705\) | 3.20152 | − | 2.05749i | 0.120576 | − | 0.0774895i | ||||
\(706\) | 21.3560 | + | 6.27070i | 0.803745 | + | 0.236001i | ||||
\(707\) | 3.54541 | + | 24.6589i | 0.133339 | + | 0.927392i | ||||
\(708\) | −2.83640 | + | 6.21085i | −0.106598 | + | 0.233418i | ||||
\(709\) | 0.0154681 | − | 0.107583i | 0.000580916 | − | 0.00404036i | −0.989529 | − | 0.144335i | \(-0.953896\pi\) |
0.990110 | + | 0.140294i | \(0.0448049\pi\) | |||||||
\(710\) | −2.27125 | − | 1.45964i | −0.0852384 | − | 0.0547794i | ||||
\(711\) | −4.62712 | − | 5.33998i | −0.173531 | − | 0.200265i | ||||
\(712\) | −6.24234 | −0.233942 | ||||||||
\(713\) | 2.75723 | − | 1.46769i | 0.103259 | − | 0.0549656i | ||||
\(714\) | 21.6462 | 0.810088 | ||||||||
\(715\) | 7.22559 | + | 8.33878i | 0.270222 | + | 0.311853i | ||||
\(716\) | −0.360123 | − | 0.231437i | −0.0134584 | − | 0.00864919i | ||||
\(717\) | −2.70733 | + | 18.8299i | −0.101107 | + | 0.703216i | ||||
\(718\) | −8.50807 | + | 18.6301i | −0.317518 | + | 0.695268i | ||||
\(719\) | 6.17165 | + | 42.9248i | 0.230164 | + | 1.60082i | 0.697393 | + | 0.716689i | \(0.254343\pi\) |
−0.467230 | + | 0.884136i | \(0.654748\pi\) | |||||||
\(720\) | −0.959493 | − | 0.281733i | −0.0357582 | − | 0.0104996i | ||||
\(721\) | −2.39005 | + | 1.53599i | −0.0890103 | + | 0.0572034i | ||||
\(722\) | −7.87031 | − | 17.2336i | −0.292903 | − | 0.641367i | ||||
\(723\) | 11.4397 | − | 3.35899i | 0.425446 | − | 0.124922i | ||||
\(724\) | −10.4494 | + | 12.0592i | −0.388348 | + | 0.448178i | ||||
\(725\) | −5.62773 | + | 6.49475i | −0.209009 | + | 0.241209i | ||||
\(726\) | 7.94281 | − | 2.33222i | 0.294785 | − | 0.0865568i | ||||
\(727\) | −9.91690 | − | 21.7150i | −0.367797 | − | 0.805364i | −0.999544 | − | 0.0301892i | \(-0.990389\pi\) |
0.631747 | − | 0.775175i | \(-0.282338\pi\) | |||||||
\(728\) | −16.6291 | + | 10.6869i | −0.616315 | + | 0.396082i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 1.13271 | + | 7.87819i | 0.0419236 | + | 0.291585i | ||||
\(731\) | 7.65290 | − | 16.7575i | 0.283053 | − | 0.619799i | ||||
\(732\) | 1.58607 | − | 11.0314i | 0.0586230 | − | 0.407732i | ||||
\(733\) | 39.2620 | + | 25.2321i | 1.45017 | + | 0.931970i | 0.999223 | + | 0.0394214i | \(0.0125515\pi\) |
0.450951 | + | 0.892549i | \(0.351085\pi\) | |||||||
\(734\) | 0.557476 | + | 0.643362i | 0.0205768 | + | 0.0237469i | ||||
\(735\) | 1.73578 | 0.0640252 | ||||||||
\(736\) | 1.62806 | + | 4.51103i | 0.0600112 | + | 0.166279i | ||||
\(737\) | −1.73192 | −0.0637959 | ||||||||
\(738\) | −5.29108 | − | 6.10623i | −0.194767 | − | 0.224774i | ||||
\(739\) | −25.8218 | − | 16.5947i | −0.949871 | − | 0.610445i | −0.0286939 | − | 0.999588i | \(-0.509135\pi\) |
−0.921177 | + | 0.389143i | \(0.872771\pi\) | |||||||
\(740\) | −0.763829 | + | 5.31255i | −0.0280789 | + | 0.195293i | ||||
\(741\) | 0.647629 | − | 1.41811i | 0.0237912 | − | 0.0520955i | ||||
\(742\) | −0.00576195 | − | 0.0400752i | −0.000211528 | − | 0.00147121i | ||||
\(743\) | 24.6126 | + | 7.22691i | 0.902948 | + | 0.265129i | 0.700070 | − | 0.714075i | \(-0.253152\pi\) |
0.202878 | + | 0.979204i | \(0.434970\pi\) | |||||||
\(744\) | 0.547910 | − | 0.352120i | 0.0200873 | − | 0.0129093i | ||||
\(745\) | 7.39681 | + | 16.1968i | 0.270998 | + | 0.593403i | ||||
\(746\) | −18.6695 | + | 5.48186i | −0.683538 | + | 0.200705i | ||||
\(747\) | 2.29043 | − | 2.64329i | 0.0838023 | − | 0.0967130i | ||||
\(748\) | −7.91249 | + | 9.13150i | −0.289309 | + | 0.333881i | ||||
\(749\) | 30.7738 | − | 9.03599i | 1.12445 | − | 0.330168i | ||||
\(750\) | 0.415415 | + | 0.909632i | 0.0151688 | + | 0.0332151i | ||||
\(751\) | −27.1561 | + | 17.4522i | −0.990941 | + | 0.636839i | −0.932393 | − | 0.361446i | \(-0.882283\pi\) |
−0.0585475 | + | 0.998285i | \(0.518647\pi\) | |||||||
\(752\) | −3.65149 | − | 1.07218i | −0.133156 | − | 0.0390982i | ||||
\(753\) | −2.90865 | − | 20.2301i | −0.105997 | − | 0.737226i | ||||
\(754\) | −23.8758 | + | 52.2807i | −0.869505 | + | 1.90395i | ||||
\(755\) | 0.943808 | − | 6.56433i | 0.0343487 | − | 0.238900i | ||||
\(756\) | 2.48644 | + | 1.59794i | 0.0904309 | + | 0.0581164i | ||||
\(757\) | −12.4854 | − | 14.4089i | −0.453789 | − | 0.523701i | 0.482042 | − | 0.876148i | \(-0.339895\pi\) |
−0.935832 | + | 0.352447i | \(0.885350\pi\) | |||||||
\(758\) | −0.779398 | −0.0283090 | ||||||||
\(759\) | −7.74885 | + | 1.59950i | −0.281265 | + | 0.0580581i | ||||
\(760\) | −0.233106 | −0.00845563 | ||||||||
\(761\) | 20.1923 | + | 23.3031i | 0.731969 | + | 0.844737i | 0.992692 | − | 0.120676i | \(-0.0385064\pi\) |
−0.260723 | + | 0.965414i | \(0.583961\pi\) | |||||||
\(762\) | −3.91941 | − | 2.51885i | −0.141985 | − | 0.0912485i | ||||
\(763\) | 4.74413 | − | 32.9961i | 0.171749 | − | 1.19454i | ||||
\(764\) | −3.66030 | + | 8.01494i | −0.132425 | + | 0.289970i | ||||
\(765\) | −1.04227 | − | 7.24915i | −0.0376834 | − | 0.262094i | ||||
\(766\) | −11.3177 | − | 3.32318i | −0.408925 | − | 0.120071i | ||||
\(767\) | 38.4152 | − | 24.6880i | 1.38709 | − | 0.891431i | ||||
\(768\) | 0.415415 | + | 0.909632i | 0.0149900 | + | 0.0328235i | ||||
\(769\) | 45.4308 | − | 13.3397i | 1.63828 | − | 0.481041i | 0.672430 | − | 0.740160i | \(-0.265250\pi\) |
0.965845 | + | 0.259119i | \(0.0834322\pi\) | |||||||
\(770\) | −3.19325 | + | 3.68521i | −0.115077 | + | 0.132806i | ||||
\(771\) | 0.617164 | − | 0.712246i | 0.0222266 | − | 0.0256509i | ||||
\(772\) | 4.74938 | − | 1.39455i | 0.170934 | − | 0.0501908i | ||||
\(773\) | 4.65862 | + | 10.2010i | 0.167559 | + | 0.366903i | 0.974721 | − | 0.223428i | \(-0.0717246\pi\) |
−0.807162 | + | 0.590331i | \(0.798997\pi\) | |||||||
\(774\) | 2.11612 | − | 1.35995i | 0.0760623 | − | 0.0488823i | ||||
\(775\) | −0.624919 | − | 0.183493i | −0.0224478 | − | 0.00659126i | ||||
\(776\) | 0.901468 | + | 6.26985i | 0.0323608 | + | 0.225074i | ||||
\(777\) | 6.58990 | − | 14.4299i | 0.236411 | − | 0.517669i | ||||
\(778\) | 4.62752 | − | 32.1851i | 0.165905 | − | 1.15389i | ||||
\(779\) | −1.58444 | − | 1.01826i | −0.0567684 | − | 0.0364828i | ||||
\(780\) | 4.37966 | + | 5.05439i | 0.156817 | + | 0.180976i | ||||
\(781\) | −4.45422 | −0.159384 | ||||||||
\(782\) | −25.0987 | + | 24.5702i | −0.897529 | + | 0.878628i | ||||
\(783\) | 8.59378 | 0.307117 | ||||||||
\(784\) | −1.13669 | − | 1.31182i | −0.0405962 | − | 0.0468506i | ||||
\(785\) | 2.11918 | + | 1.36191i | 0.0756368 | + | 0.0486088i | ||||
\(786\) | −2.85926 | + | 19.8866i | −0.101986 | + | 0.709331i | ||||
\(787\) | −8.48289 | + | 18.5749i | −0.302382 | + | 0.662125i | −0.998438 | − | 0.0558626i | \(-0.982209\pi\) |
0.696056 | + | 0.717987i | \(0.254936\pi\) | |||||||
\(788\) | −1.51339 | − | 10.5259i | −0.0539123 | − | 0.374968i | ||||
\(789\) | 3.18758 | + | 0.935958i | 0.113481 | + | 0.0333210i | ||||
\(790\) | 5.94414 | − | 3.82007i | 0.211483 | − | 0.135912i | ||||
\(791\) | −18.0340 | − | 39.4890i | −0.641216 | − | 1.40407i | ||||
\(792\) | −1.58298 | + | 0.464805i | −0.0562487 | + | 0.0165161i | ||||
\(793\) | −48.8105 | + | 56.3303i | −1.73331 | + | 2.00035i | ||||
\(794\) | −20.3386 | + | 23.4720i | −0.721789 | + | 0.832989i | ||||
\(795\) | −0.0131435 | + | 0.00385927i | −0.000466151 | + | 0.000136874i | ||||
\(796\) | −11.0407 | − | 24.1757i | −0.391326 | − | 0.856885i | ||||
\(797\) | −16.1384 | + | 10.3715i | −0.571652 | + | 0.367378i | −0.794305 | − | 0.607520i | \(-0.792165\pi\) |
0.222653 | + | 0.974898i | \(0.428528\pi\) | |||||||
\(798\) | 0.661067 | + | 0.194107i | 0.0234015 | + | 0.00687131i | ||||
\(799\) | −3.96652 | − | 27.5877i | −0.140325 | − | 0.975984i | ||||
\(800\) | 0.415415 | − | 0.909632i | 0.0146871 | − | 0.0321603i | ||||
\(801\) | 0.888378 | − | 6.17880i | 0.0313893 | − | 0.218317i | ||||
\(802\) | −19.5228 | − | 12.5466i | −0.689375 | − | 0.443034i | ||||
\(803\) | 8.59908 | + | 9.92387i | 0.303455 | + | 0.350206i | ||||
\(804\) | −1.04977 | −0.0370225 | ||||||||
\(805\) | −10.1291 | + | 9.91583i | −0.357005 | + | 0.349487i | ||||
\(806\) | −4.35585 | −0.153428 | ||||||||
\(807\) | −0.357637 | − | 0.412735i | −0.0125894 | − | 0.0145290i | ||||
\(808\) | −7.09075 | − | 4.55695i | −0.249452 | − | 0.160313i | ||||
\(809\) | 5.80145 | − | 40.3499i | 0.203968 | − | 1.41863i | −0.588393 | − | 0.808575i | \(-0.700239\pi\) |
0.792361 | − | 0.610053i | \(-0.208852\pi\) | |||||||
\(810\) | 0.415415 | − | 0.909632i | 0.0145962 | − | 0.0319612i | ||||
\(811\) | −1.13753 | − | 7.91167i | −0.0399440 | − | 0.277816i | 0.960054 | − | 0.279815i | \(-0.0902730\pi\) |
−0.999998 | + | 0.00199827i | \(0.999364\pi\) | |||||||
\(812\) | −24.3712 | − | 7.15603i | −0.855262 | − | 0.251127i | ||||
\(813\) | −15.9691 | + | 10.2627i | −0.560062 | + | 0.359930i | ||||
\(814\) | 3.67842 | + | 8.05462i | 0.128929 | + | 0.282314i | ||||
\(815\) | 22.4115 | − | 6.58062i | 0.785041 | − | 0.230509i | ||||
\(816\) | −4.79600 | + | 5.53488i | −0.167894 | + | 0.193760i | ||||
\(817\) | 0.383986 | − | 0.443143i | 0.0134340 | − | 0.0155036i | ||||
\(818\) | 6.30606 | − | 1.85163i | 0.220486 | − | 0.0647406i | ||||
\(819\) | −8.21153 | − | 17.9807i | −0.286934 | − | 0.628298i | ||||
\(820\) | 6.79708 | − | 4.36822i | 0.237364 | − | 0.152545i | ||||
\(821\) | 52.5720 | + | 15.4365i | 1.83478 | + | 0.538739i | 0.999931 | − | 0.0117477i | \(-0.00373950\pi\) |
0.834844 | + | 0.550486i | \(0.185558\pi\) | |||||||
\(822\) | −2.65739 | − | 18.4826i | −0.0926871 | − | 0.644653i | ||||
\(823\) | 2.09288 | − | 4.58277i | 0.0729532 | − | 0.159745i | −0.869642 | − | 0.493683i | \(-0.835650\pi\) |
0.942595 | + | 0.333938i | \(0.108378\pi\) | |||||||
\(824\) | 0.136798 | − | 0.951452i | 0.00476559 | − | 0.0331454i | ||||
\(825\) | 1.38791 | + | 0.891954i | 0.0483207 | + | 0.0310539i | ||||
\(826\) | 13.2156 | + | 15.2516i | 0.459828 | + | 0.530670i | ||||
\(827\) | −26.9719 | −0.937905 | −0.468952 | − | 0.883223i | \(-0.655368\pi\) | ||||
−0.468952 | + | 0.883223i | \(0.655368\pi\) | |||||||
\(828\) | −4.69681 | + | 0.969505i | −0.163226 | + | 0.0336926i | ||||
\(829\) | 4.44859 | 0.154506 | 0.0772529 | − | 0.997012i | \(-0.475385\pi\) | ||||
0.0772529 | + | 0.997012i | \(0.475385\pi\) | |||||||
\(830\) | 2.29043 | + | 2.64329i | 0.0795019 | + | 0.0917501i | ||||
\(831\) | 3.49263 | + | 2.24458i | 0.121158 | + | 0.0778635i | ||||
\(832\) | 0.951790 | − | 6.61984i | 0.0329974 | − | 0.229502i | ||||
\(833\) | 5.28089 | − | 11.5635i | 0.182972 | − | 0.400653i | ||||
\(834\) | −1.89626 | − | 13.1888i | −0.0656620 | − | 0.456690i | ||||
\(835\) | −14.3808 | − | 4.22259i | −0.497669 | − | 0.146129i | ||||
\(836\) | −0.323529 | + | 0.207920i | −0.0111895 | + | 0.00719105i | ||||
\(837\) | 0.270560 | + | 0.592445i | 0.00935193 | + | 0.0204779i | ||||
\(838\) | −29.3917 | + | 8.63018i | −1.01532 | + | 0.298125i | ||||
\(839\) | 9.05953 | − | 10.4553i | 0.312770 | − | 0.360956i | −0.577499 | − | 0.816392i | \(-0.695971\pi\) |
0.890269 | + | 0.455436i | \(0.150517\pi\) | |||||||
\(840\) | −1.93553 | + | 2.23372i | −0.0667821 | + | 0.0770707i | ||||
\(841\) | −43.0362 | + | 12.6366i | −1.48401 | + | 0.435744i | ||||
\(842\) | −11.8479 | − | 25.9433i | −0.408305 | − | 0.894064i | ||||
\(843\) | 1.66339 | − | 1.06900i | 0.0572902 | − | 0.0368182i | ||||
\(844\) | −21.4590 | − | 6.30092i | −0.738648 | − | 0.216887i | ||||
\(845\) | −4.51540 | − | 31.4053i | −0.155335 | − | 1.08038i | ||||
\(846\) | 1.58092 | − | 3.46174i | 0.0543533 | − | 0.119017i | ||||
\(847\) | 3.48204 | − | 24.2181i | 0.119644 | − | 0.832144i | ||||
\(848\) | 0.0115238 | + | 0.00740589i | 0.000395729 | + | 0.000254319i | ||||
\(849\) | 9.53856 | + | 11.0081i | 0.327362 | + | 0.377796i | ||||
\(850\) | 7.32370 | 0.251201 | ||||||||
\(851\) | 8.73810 | + | 24.2115i | 0.299538 | + | 0.829959i | ||||
\(852\) | −2.69984 | −0.0924949 | ||||||||
\(853\) | −2.53246 | − | 2.92262i | −0.0867098 | − | 0.100068i | 0.710737 | − | 0.703458i | \(-0.248362\pi\) |
−0.797446 | + | 0.603390i | \(0.793816\pi\) | |||||||
\(854\) | −27.7109 | − | 17.8087i | −0.948249 | − | 0.609402i | ||||
\(855\) | 0.0331744 | − | 0.230733i | 0.00113454 | − | 0.00789090i | ||||
\(856\) | −4.50786 | + | 9.87083i | −0.154075 | + | 0.337378i | ||||
\(857\) | 5.64611 | + | 39.2696i | 0.192867 | + | 1.34142i | 0.824371 | + | 0.566050i | \(0.191529\pi\) |
−0.631504 | + | 0.775373i | \(0.717562\pi\) | |||||||
\(858\) | 10.5868 | + | 3.10858i | 0.361429 | + | 0.106125i | ||||
\(859\) | 11.2254 | − | 7.21413i | 0.383006 | − | 0.246143i | −0.334944 | − | 0.942238i | \(-0.608717\pi\) |
0.717949 | + | 0.696095i | \(0.245081\pi\) | |||||||
\(860\) | 1.04495 | + | 2.28812i | 0.0356325 | + | 0.0780243i | ||||
\(861\) | −22.9133 | + | 6.72796i | −0.780884 | + | 0.229288i | ||||
\(862\) | 5.31800 | − | 6.13730i | 0.181132 | − | 0.209037i | ||||
\(863\) | −6.31623 | + | 7.28932i | −0.215007 | + | 0.248131i | −0.853000 | − | 0.521911i | \(-0.825219\pi\) |
0.637993 | + | 0.770042i | \(0.279765\pi\) | |||||||
\(864\) | −0.959493 | + | 0.281733i | −0.0326426 | + | 0.00958474i | ||||
\(865\) | 7.14171 | + | 15.6382i | 0.242825 | + | 0.531713i | ||||
\(866\) | −1.42539 | + | 0.916045i | −0.0484369 | + | 0.0311285i | ||||
\(867\) | −35.1525 | − | 10.3217i | −1.19384 | − | 0.350544i | ||||
\(868\) | −0.273957 | − | 1.90542i | −0.00929872 | − | 0.0646740i | ||||
\(869\) | 4.84259 | − | 10.6038i | 0.164274 | − | 0.359709i | ||||
\(870\) | −1.22302 | + | 8.50631i | −0.0414644 | + | 0.288391i | ||||
\(871\) | 5.90624 | + | 3.79571i | 0.200125 | + | 0.128613i | ||||
\(872\) | 7.38592 | + | 8.52380i | 0.250119 | + | 0.288652i | ||||
\(873\) | −6.33432 | −0.214384 | ||||||||
\(874\) | −0.986834 | + | 0.525299i | −0.0333802 | + | 0.0177685i | ||||
\(875\) | 2.95564 | 0.0999187 | ||||||||
\(876\) | 5.21217 | + | 6.01516i | 0.176103 | + | 0.203234i | ||||
\(877\) | 28.2281 | + | 18.1411i | 0.953195 | + | 0.612581i | 0.922107 | − | 0.386936i | \(-0.126466\pi\) |
0.0310879 | + | 0.999517i | \(0.490103\pi\) | |||||||
\(878\) | −1.06864 | + | 7.43257i | −0.0360649 | + | 0.250837i | ||||
\(879\) | 4.39983 | − | 9.63428i | 0.148403 | − | 0.324956i | ||||
\(880\) | −0.234792 | − | 1.63302i | −0.00791485 | − | 0.0550490i | ||||
\(881\) | −33.6517 | − | 9.88104i | −1.13376 | − | 0.332901i | −0.339573 | − | 0.940580i | \(-0.610283\pi\) |
−0.794183 | + | 0.607679i | \(0.792101\pi\) | |||||||
\(882\) | 1.46023 | − | 0.938434i | 0.0491686 | − | 0.0315987i | ||||
\(883\) | 20.2682 | + | 44.3813i | 0.682081 | + | 1.49355i | 0.860423 | + | 0.509580i | \(0.170199\pi\) |
−0.178343 | + | 0.983968i | \(0.557074\pi\) | |||||||
\(884\) | 46.9963 | − | 13.7993i | 1.58065 | − | 0.464122i | ||||
\(885\) | 4.47131 | − | 5.16016i | 0.150301 | − | 0.173457i | ||||
\(886\) | 27.3775 | − | 31.5953i | 0.919764 | − | 1.06146i | ||||
\(887\) | −31.5500 | + | 9.26390i | −1.05934 | + | 0.311051i | −0.764587 | − | 0.644521i | \(-0.777057\pi\) |
−0.294757 | + | 0.955572i | \(0.595239\pi\) | |||||||
\(888\) | 2.22961 | + | 4.88215i | 0.0748206 | + | 0.163834i | ||||
\(889\) | −11.5844 | + | 7.44482i | −0.388527 | + | 0.249691i | ||||
\(890\) | 5.98948 | + | 1.75867i | 0.200768 | + | 0.0589508i | ||||
\(891\) | −0.234792 | − | 1.63302i | −0.00786584 | − | 0.0547081i | ||||
\(892\) | 5.60665 | − | 12.2769i | 0.187725 | − | 0.411059i | ||||
\(893\) | 0.126250 | − | 0.878089i | 0.00422480 | − | 0.0293841i | ||||
\(894\) | 14.9792 | + | 9.62656i | 0.500980 | + | 0.321960i | ||||
\(895\) | 0.280332 | + | 0.323520i | 0.00937046 | + | 0.0108141i | ||||
\(896\) | 2.95564 | 0.0987408 | ||||||||
\(897\) | 29.9309 | + | 11.5279i | 0.999363 | + | 0.384905i | ||||
\(898\) | 29.3482 | 0.979362 | ||||||||
\(899\) | −3.66535 | − | 4.23004i | −0.122246 | − | 0.141080i | ||||
\(900\) | 0.841254 | + | 0.540641i | 0.0280418 | + | 0.0180214i | ||||
\(901\) | −0.0142774 | + | 0.0993015i | −0.000475649 | + | 0.00330821i | ||||
\(902\) | 5.53747 | − | 12.1254i | 0.184378 | − | 0.403731i | ||||
\(903\) | −1.05807 | − | 7.35904i | −0.0352104 | − | 0.244893i | ||||
\(904\) | 14.0929 | + | 4.13806i | 0.468724 | + | 0.137630i | ||||
\(905\) | 13.4236 | − | 8.62682i | 0.446215 | − | 0.286765i | ||||
\(906\) | −2.75496 | − | 6.03253i | −0.0915275 | − | 0.200417i | ||||
\(907\) | −4.35052 | + | 1.27743i | −0.144457 | + | 0.0424163i | −0.353162 | − | 0.935562i | \(-0.614893\pi\) |
0.208705 | + | 0.977979i | \(0.433075\pi\) | |||||||
\(908\) | −12.4090 | + | 14.3207i | −0.411807 | + | 0.475251i | ||||
\(909\) | 5.51969 | − | 6.37006i | 0.183076 | − | 0.211282i | ||||
\(910\) | 18.9663 | − | 5.56902i | 0.628728 | − | 0.184611i | ||||
\(911\) | −10.0620 | − | 22.0327i | −0.333369 | − | 0.729975i | 0.666511 | − | 0.745495i | \(-0.267787\pi\) |
−0.999880 | + | 0.0155199i | \(0.995060\pi\) | |||||||
\(912\) | −0.196101 | + | 0.126026i | −0.00649355 | + | 0.00417315i | ||||
\(913\) | 5.53660 | + | 1.62569i | 0.183235 | + | 0.0538025i | ||||
\(914\) | 2.19334 | + | 15.2550i | 0.0725494 | + | 0.504592i | ||||
\(915\) | −4.62973 | + | 10.1377i | −0.153054 | + | 0.335142i | ||||
\(916\) | 3.02021 | − | 21.0060i | 0.0997905 | − | 0.694058i | ||||
\(917\) | 49.9553 | + | 32.1043i | 1.64967 | + | 1.06018i | ||||
\(918\) | −4.79600 | − | 5.53488i | −0.158292 | − | 0.182678i | ||||
\(919\) | −42.2352 | −1.39321 | −0.696605 | − | 0.717455i | \(-0.745307\pi\) | ||||
−0.696605 | + | 0.717455i | \(0.745307\pi\) | |||||||
\(920\) | −0.291211 | − | 4.78698i | −0.00960094 | − | 0.157822i | ||||
\(921\) | 32.3179 | 1.06491 | ||||||||
\(922\) | −22.0914 | − | 25.4948i | −0.727540 | − | 0.839626i | ||||
\(923\) | 15.1899 | + | 9.76197i | 0.499982 | + | 0.321319i | ||||
\(924\) | −0.693960 | + | 4.82660i | −0.0228296 | + | 0.158784i | ||||
\(925\) | 2.22961 | − | 4.88215i | 0.0733090 | − | 0.160524i | ||||
\(926\) | 0.670560 | + | 4.66385i | 0.0220360 | + | 0.153264i | ||||
\(927\) | 0.922299 | + | 0.270811i | 0.0302923 | + | 0.00889461i | ||||
\(928\) | 7.22955 | − | 4.64615i | 0.237322 | − | 0.152517i | ||||
\(929\) | 4.42402 | + | 9.68725i | 0.145147 | + | 0.317828i | 0.968217 | − | 0.250112i | \(-0.0804676\pi\) |
−0.823069 | + | 0.567941i | \(0.807740\pi\) | |||||||
\(930\) | −0.624919 | + | 0.183493i | −0.0204919 | + | 0.00601697i | ||||
\(931\) | 0.264970 | − | 0.305792i | 0.00868404 | − | 0.0100219i | ||||
\(932\) | −3.69204 | + | 4.26084i | −0.120937 | + | 0.139568i | ||||
\(933\) | −17.9732 | + | 5.27742i | −0.588417 | + | 0.172775i | ||||
\(934\) | −6.52258 | − | 14.2825i | −0.213425 | − | 0.467336i | ||||
\(935\) | 10.1646 | − | 6.53240i | 0.332419 | − | 0.213632i | ||||
\(936\) | 6.41701 | + | 1.88420i | 0.209747 | + | 0.0615871i | ||||
\(937\) | 7.71996 | + | 53.6935i | 0.252200 | + | 1.75409i | 0.584944 | + | 0.811073i | \(0.301116\pi\) |
−0.332744 | + | 0.943017i | \(0.607975\pi\) | |||||||
\(938\) | −1.28892 | + | 2.82234i | −0.0420848 | + | 0.0921528i | ||||
\(939\) | 3.24151 | − | 22.5452i | 0.105783 | − | 0.735735i | ||||
\(940\) | 3.20152 | + | 2.05749i | 0.104422 | + | 0.0671079i | ||||
\(941\) | 19.0663 | + | 22.0037i | 0.621544 | + | 0.717301i | 0.976000 | − | 0.217772i | \(-0.0698791\pi\) |
−0.354455 | + | 0.935073i | \(0.615334\pi\) | |||||||
\(942\) | 2.51907 | 0.0820758 | ||||||||
\(943\) | 18.9312 | − | 33.8096i | 0.616485 | − | 1.10099i | ||||
\(944\) | −6.82787 | −0.222228 | ||||||||
\(945\) | −1.93553 | − | 2.23372i | −0.0629628 | − | 0.0726629i | ||||
\(946\) | 3.49119 | + | 2.24365i | 0.113508 | + | 0.0729474i | ||||
\(947\) | 7.86970 | − | 54.7350i | 0.255731 | − | 1.77865i | −0.306703 | − | 0.951805i | \(-0.599226\pi\) |
0.562434 | − | 0.826842i | \(-0.309865\pi\) | |||||||
\(948\) | 2.93524 | − | 6.42729i | 0.0953323 | − | 0.208749i | ||||
\(949\) | −7.57549 | − | 52.6887i | −0.245911 | − | 1.71035i | ||||
\(950\) | 0.223663 | + | 0.0656735i | 0.00725660 | + | 0.00213073i | ||||
\(951\) | 0.518832 | − | 0.333433i | 0.0168243 | − | 0.0108123i | ||||
\(952\) | 8.99215 | + | 19.6901i | 0.291437 | + | 0.638159i | ||||
\(953\) | −14.4069 | + | 4.23026i | −0.466686 | + | 0.137032i | −0.506618 | − | 0.862171i | \(-0.669104\pi\) |
0.0399310 | + | 0.999202i | \(0.487286\pi\) | |||||||
\(954\) | −0.00897052 | + | 0.0103525i | −0.000290431 | + | 0.000335175i | ||||
\(955\) | 5.77010 | − | 6.65905i | 0.186716 | − | 0.215482i | ||||
\(956\) | −18.2530 | + | 5.35955i | −0.590343 | + | 0.173340i | ||||
\(957\) | 5.88980 | + | 12.8969i | 0.190390 | + | 0.416896i | ||||
\(958\) | 30.9973 | − | 19.9208i | 1.00148 | − | 0.643611i | ||||
\(959\) | −52.9539 | − | 15.5487i | −1.70997 | − | 0.502092i | ||||
\(960\) | −0.142315 | − | 0.989821i | −0.00459319 | − | 0.0319463i | ||||
\(961\) | −12.7016 | + | 27.8127i | −0.409731 | + | 0.897185i | ||||
\(962\) | 5.10842 | − | 35.5299i | 0.164702 | − | 1.14553i | ||||
\(963\) | −9.12882 | − | 5.86674i | −0.294172 | − | 0.189053i | ||||
\(964\) | 7.80766 | + | 9.01052i | 0.251468 | + | 0.290209i | ||||
\(965\) | −4.94989 | −0.159343 | ||||||||
\(966\) | −3.16027 | + | 13.8179i | −0.101680 | + | 0.444585i | ||||
\(967\) | 3.91653 | 0.125947 | 0.0629736 | − | 0.998015i | \(-0.479942\pi\) | ||||
0.0629736 | + | 0.998015i | \(0.479942\pi\) | |||||||
\(968\) | 5.42102 | + | 6.25619i | 0.174238 | + | 0.201082i | ||||
\(969\) | −1.43618 | − | 0.922980i | −0.0461369 | − | 0.0296504i | ||||
\(970\) | 0.901468 | − | 6.26985i | 0.0289444 | − | 0.201313i | ||||
\(971\) | −3.86283 | + | 8.45842i | −0.123964 | + | 0.271443i | −0.961432 | − | 0.275043i | \(-0.911308\pi\) |
0.837468 | + | 0.546487i | \(0.184035\pi\) | |||||||
\(972\) | −0.142315 | − | 0.989821i | −0.00456475 | − | 0.0317485i | ||||
\(973\) | −37.7868 | − | 11.0952i | −1.21139 | − | 0.355696i | ||||
\(974\) | −13.7467 | + | 8.83447i | −0.440473 | + | 0.283075i | ||||
\(975\) | −2.77826 | − | 6.08354i | −0.0889756 | − | 0.194829i | ||||
\(976\) | 10.6934 | − | 3.13986i | 0.342287 | − | 0.100505i | ||||
\(977\) | 29.2296 | − | 33.7328i | 0.935139 | − | 1.07921i | −0.0615669 | − | 0.998103i | \(-0.519610\pi\) |
0.996706 | − | 0.0811046i | \(-0.0258448\pi\) | |||||||
\(978\) | 15.2960 | − | 17.6525i | 0.489113 | − | 0.564466i | ||||
\(979\) | 9.88150 | − | 2.90147i | 0.315814 | − | 0.0927314i | ||||
\(980\) | 0.721069 | + | 1.57892i | 0.0230337 | + | 0.0504368i | ||||
\(981\) | −9.48817 | + | 6.09768i | −0.302934 | + | 0.194684i | ||||
\(982\) | 20.1507 | + | 5.91677i | 0.643033 | + | 0.188812i | ||||
\(983\) | 3.96682 | + | 27.5899i | 0.126522 | + | 0.879980i | 0.949915 | + | 0.312508i | \(0.101169\pi\) |
−0.823393 | + | 0.567472i | \(0.807922\pi\) | |||||||
\(984\) | 3.35643 | − | 7.34956i | 0.106999 | − | 0.234295i | ||||
\(985\) | −1.51339 | + | 10.5259i | −0.0482206 | + | 0.335382i | ||||
\(986\) | 52.9470 | + | 34.0270i | 1.68618 | + | 1.08364i | ||||
\(987\) | −7.36595 | − | 8.50075i | −0.234461 | − | 0.270582i | ||||
\(988\) | 1.55899 | 0.0495981 | ||||||||
\(989\) | 9.57994 | + | 7.33180i | 0.304624 | + | 0.233138i | ||||
\(990\) | 1.64981 | 0.0524344 | ||||||||
\(991\) | −38.7484 | − | 44.7181i | −1.23088 | − | 1.42052i | −0.873688 | − | 0.486487i | \(-0.838278\pi\) |
−0.357196 | − | 0.934029i | \(-0.616267\pi\) | |||||||
\(992\) | 0.547910 | + | 0.352120i | 0.0173961 | + | 0.0111798i | ||||
\(993\) | 5.02463 | − | 34.9471i | 0.159452 | − | 1.10901i | ||||
\(994\) | −3.31490 | + | 7.25862i | −0.105142 | + | 0.230230i | ||||
\(995\) | 3.78236 | + | 26.3069i | 0.119909 | + | 0.833985i | ||||
\(996\) | 3.35590 | + | 0.985382i | 0.106336 | + | 0.0312230i | ||||
\(997\) | −4.39225 | + | 2.82273i | −0.139104 | + | 0.0893967i | −0.608342 | − | 0.793675i | \(-0.708165\pi\) |
0.469238 | + | 0.883072i | \(0.344529\pi\) | |||||||
\(998\) | −8.52035 | − | 18.6570i | −0.269707 | − | 0.590576i | ||||
\(999\) | −5.14977 | + | 1.51211i | −0.162931 | + | 0.0478410i |
(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.151.1 | ✓ | 30 | |
23.16 | even | 11 | inner | 690.2.m.g.361.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.151.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.g.361.1 | yes | 30 | 23.16 | even | 11 | inner |