Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(87,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.87");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.m (of order \(8\), degree \(4\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 87.5 | ||
Character | \(\chi\) | \(=\) | 731.87 |
Dual form | 731.2.m.c.689.5 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33120 | − | 1.33120i | −0.941301 | − | 0.941301i | 0.0570692 | − | 0.998370i | \(-0.481824\pi\) |
−0.998370 | + | 0.0570692i | \(0.981824\pi\) | |||||||
\(3\) | −1.44462 | + | 0.598380i | −0.834050 | + | 0.345475i | −0.758505 | − | 0.651667i | \(-0.774070\pi\) |
−0.0755455 | + | 0.997142i | \(0.524070\pi\) | |||||||
\(4\) | 1.54419i | 0.772095i | ||||||||
\(5\) | −1.33546 | − | 3.22408i | −0.597235 | − | 1.44185i | −0.876388 | − | 0.481606i | \(-0.840054\pi\) |
0.279153 | − | 0.960247i | \(-0.409946\pi\) | |||||||
\(6\) | 2.71964 | + | 1.12651i | 1.11029 | + | 0.459897i | ||||
\(7\) | −1.37427 | + | 3.31778i | −0.519425 | + | 1.25400i | 0.418832 | + | 0.908064i | \(0.362440\pi\) |
−0.938257 | + | 0.345939i | \(0.887560\pi\) | |||||||
\(8\) | −0.606774 | + | 0.606774i | −0.214527 | + | 0.214527i | ||||
\(9\) | −0.392459 | + | 0.392459i | −0.130820 | + | 0.130820i | ||||
\(10\) | −2.51414 | + | 6.06966i | −0.795040 | + | 1.91940i | ||||
\(11\) | 1.94956 | + | 0.807535i | 0.587815 | + | 0.243481i | 0.656710 | − | 0.754143i | \(-0.271947\pi\) |
−0.0688952 | + | 0.997624i | \(0.521947\pi\) | |||||||
\(12\) | −0.924013 | − | 2.23076i | −0.266740 | − | 0.643966i | ||||
\(13\) | 0.942238i | 0.261330i | 0.991427 | + | 0.130665i | \(0.0417112\pi\) | ||||
−0.991427 | + | 0.130665i | \(0.958289\pi\) | |||||||
\(14\) | 6.24606 | − | 2.58720i | 1.66933 | − | 0.691459i | ||||
\(15\) | 3.85845 | + | 3.85845i | 0.996248 | + | 0.996248i | ||||
\(16\) | 4.70386 | 1.17596 | ||||||||
\(17\) | −0.187881 | − | 4.11882i | −0.0455678 | − | 0.998961i | ||||
\(18\) | 1.04488 | 0.246281 | ||||||||
\(19\) | 0.431782 | + | 0.431782i | 0.0990576 | + | 0.0990576i | 0.754899 | − | 0.655841i | \(-0.227686\pi\) |
−0.655841 | + | 0.754899i | \(0.727686\pi\) | |||||||
\(20\) | 4.97859 | − | 2.06220i | 1.11325 | − | 0.461122i | ||||
\(21\) | − | 5.61526i | − | 1.22535i | ||||||
\(22\) | −1.52027 | − | 3.67025i | −0.324122 | − | 0.782500i | ||||
\(23\) | 0.0917926 | + | 0.0380217i | 0.0191401 | + | 0.00792808i | 0.392233 | − | 0.919866i | \(-0.371703\pi\) |
−0.373093 | + | 0.927794i | \(0.621703\pi\) | |||||||
\(24\) | 0.513475 | − | 1.23964i | 0.104813 | − | 0.253040i | ||||
\(25\) | −5.07571 | + | 5.07571i | −1.01514 | + | 1.01514i | ||||
\(26\) | 1.25431 | − | 1.25431i | 0.245990 | − | 0.245990i | ||||
\(27\) | 2.12725 | − | 5.13565i | 0.409390 | − | 0.988356i | ||||
\(28\) | −5.12328 | − | 2.12213i | −0.968209 | − | 0.401045i | ||||
\(29\) | 3.25900 | + | 7.86791i | 0.605180 | + | 1.46103i | 0.868185 | + | 0.496240i | \(0.165286\pi\) |
−0.263005 | + | 0.964794i | \(0.584714\pi\) | |||||||
\(30\) | − | 10.2727i | − | 1.87554i | ||||||
\(31\) | −0.736288 | + | 0.304980i | −0.132241 | + | 0.0547761i | −0.447823 | − | 0.894122i | \(-0.647800\pi\) |
0.315582 | + | 0.948898i | \(0.397800\pi\) | |||||||
\(32\) | −5.04823 | − | 5.04823i | −0.892409 | − | 0.892409i | ||||
\(33\) | −3.29959 | −0.574384 | ||||||||
\(34\) | −5.23287 | + | 5.73309i | −0.897430 | + | 0.983216i | ||||
\(35\) | 12.5321 | 2.11831 | ||||||||
\(36\) | −0.606031 | − | 0.606031i | −0.101005 | − | 0.101005i | ||||
\(37\) | −5.48173 | + | 2.27061i | −0.901191 | + | 0.373286i | −0.784678 | − | 0.619904i | \(-0.787172\pi\) |
−0.116513 | + | 0.993189i | \(0.537172\pi\) | |||||||
\(38\) | − | 1.14958i | − | 0.186486i | ||||||
\(39\) | −0.563817 | − | 1.36117i | −0.0902829 | − | 0.217962i | ||||
\(40\) | 2.76661 | + | 1.14597i | 0.437439 | + | 0.181193i | ||||
\(41\) | 0.755773 | − | 1.82460i | 0.118032 | − | 0.284954i | −0.853811 | − | 0.520583i | \(-0.825715\pi\) |
0.971843 | + | 0.235628i | \(0.0757148\pi\) | |||||||
\(42\) | −7.47503 | + | 7.47503i | −1.15342 | + | 1.15342i | ||||
\(43\) | −0.707107 | + | 0.707107i | −0.107833 | + | 0.107833i | ||||
\(44\) | −1.24699 | + | 3.01050i | −0.187991 | + | 0.453849i | ||||
\(45\) | 1.78943 | + | 0.741207i | 0.266753 | + | 0.110493i | ||||
\(46\) | −0.0715798 | − | 0.172809i | −0.0105539 | − | 0.0254793i | ||||
\(47\) | − | 10.6243i | − | 1.54972i | −0.632133 | − | 0.774860i | \(-0.717820\pi\) | ||
0.632133 | − | 0.774860i | \(-0.282180\pi\) | |||||||
\(48\) | −6.79527 | + | 2.81469i | −0.980813 | + | 0.406266i | ||||
\(49\) | −4.16929 | − | 4.16929i | −0.595613 | − | 0.595613i | ||||
\(50\) | 13.5136 | 1.91111 | ||||||||
\(51\) | 2.73604 | + | 5.83770i | 0.383122 | + | 0.817441i | ||||
\(52\) | −1.45499 | −0.201771 | ||||||||
\(53\) | −4.84142 | − | 4.84142i | −0.665020 | − | 0.665020i | 0.291539 | − | 0.956559i | \(-0.405833\pi\) |
−0.956559 | + | 0.291539i | \(0.905833\pi\) | |||||||
\(54\) | −9.66838 | + | 4.00477i | −1.31570 | + | 0.544981i | ||||
\(55\) | − | 7.36398i | − | 0.992958i | ||||||
\(56\) | −1.17927 | − | 2.84701i | −0.157587 | − | 0.380448i | ||||
\(57\) | −0.882130 | − | 0.365390i | −0.116841 | − | 0.0483971i | ||||
\(58\) | 6.13539 | − | 14.8121i | 0.805616 | − | 1.94493i | ||||
\(59\) | 5.94525 | − | 5.94525i | 0.774006 | − | 0.774006i | −0.204798 | − | 0.978804i | \(-0.565654\pi\) |
0.978804 | + | 0.204798i | \(0.0656538\pi\) | |||||||
\(60\) | −5.95819 | + | 5.95819i | −0.769198 | + | 0.769198i | ||||
\(61\) | 3.50528 | − | 8.46249i | 0.448805 | − | 1.08351i | −0.523965 | − | 0.851740i | \(-0.675548\pi\) |
0.972770 | − | 0.231771i | \(-0.0744522\pi\) | |||||||
\(62\) | 1.38614 | + | 0.574157i | 0.176040 | + | 0.0729180i | ||||
\(63\) | −0.762748 | − | 1.84144i | −0.0960972 | − | 0.231999i | ||||
\(64\) | 4.03270i | 0.504087i | ||||||||
\(65\) | 3.03785 | − | 1.25832i | 0.376799 | − | 0.156075i | ||||
\(66\) | 4.39241 | + | 4.39241i | 0.540668 | + | 0.540668i | ||||
\(67\) | 2.29630 | 0.280538 | 0.140269 | − | 0.990113i | \(-0.455203\pi\) | ||||
0.140269 | + | 0.990113i | \(0.455203\pi\) | |||||||
\(68\) | 6.36025 | − | 0.290124i | 0.771293 | − | 0.0351827i | ||||
\(69\) | −0.155357 | −0.0187027 | ||||||||
\(70\) | −16.6827 | − | 16.6827i | −1.99396 | − | 1.99396i | ||||
\(71\) | 3.71577 | − | 1.53912i | 0.440981 | − | 0.182660i | −0.151135 | − | 0.988513i | \(-0.548293\pi\) |
0.592116 | + | 0.805853i | \(0.298293\pi\) | |||||||
\(72\) | − | 0.476268i | − | 0.0561287i | ||||||
\(73\) | −4.87968 | − | 11.7806i | −0.571124 | − | 1.37881i | −0.900599 | − | 0.434650i | \(-0.856872\pi\) |
0.329476 | − | 0.944164i | \(-0.393128\pi\) | |||||||
\(74\) | 10.3199 | + | 4.27465i | 1.19967 | + | 0.496918i | ||||
\(75\) | 4.29526 | − | 10.3697i | 0.495974 | − | 1.19739i | ||||
\(76\) | −0.666753 | + | 0.666753i | −0.0764819 | + | 0.0764819i | ||||
\(77\) | −5.35845 | + | 5.35845i | −0.610652 | + | 0.610652i | ||||
\(78\) | −1.06144 | + | 2.56255i | −0.120185 | + | 0.290151i | ||||
\(79\) | 8.58594 | + | 3.55641i | 0.965994 | + | 0.400128i | 0.809219 | − | 0.587507i | \(-0.199890\pi\) |
0.156775 | + | 0.987634i | \(0.449890\pi\) | |||||||
\(80\) | −6.28180 | − | 15.1656i | −0.702327 | − | 1.69557i | ||||
\(81\) | 7.02689i | 0.780765i | ||||||||
\(82\) | −3.43499 | + | 1.42282i | −0.379331 | + | 0.157124i | ||||
\(83\) | 8.95302 | + | 8.95302i | 0.982722 | + | 0.982722i | 0.999853 | − | 0.0171315i | \(-0.00545340\pi\) |
−0.0171315 | + | 0.999853i | \(0.505453\pi\) | |||||||
\(84\) | 8.67103 | 0.946087 | ||||||||
\(85\) | −13.0285 | + | 6.10626i | −1.41314 | + | 0.662317i | ||||
\(86\) | 1.88260 | 0.203006 | ||||||||
\(87\) | −9.41600 | − | 9.41600i | −1.00950 | − | 1.00950i | ||||
\(88\) | −1.67294 | + | 0.692952i | −0.178335 | + | 0.0738690i | ||||
\(89\) | − | 1.64304i | − | 0.174162i | −0.996201 | − | 0.0870812i | \(-0.972246\pi\) | ||
0.996201 | − | 0.0870812i | \(-0.0277539\pi\) | |||||||
\(90\) | −1.39540 | − | 3.36879i | −0.147088 | − | 0.355101i | ||||
\(91\) | −3.12614 | − | 1.29489i | −0.327708 | − | 0.135741i | ||||
\(92\) | −0.0587128 | + | 0.141745i | −0.00612123 | + | 0.0147780i | ||||
\(93\) | 0.881160 | − | 0.881160i | 0.0913720 | − | 0.0913720i | ||||
\(94\) | −14.1431 | + | 14.1431i | −1.45875 | + | 1.45875i | ||||
\(95\) | 0.815473 | − | 1.96873i | 0.0836658 | − | 0.201987i | ||||
\(96\) | 10.3135 | + | 4.27200i | 1.05262 | + | 0.436009i | ||||
\(97\) | 5.20378 | + | 12.5630i | 0.528363 | + | 1.27558i | 0.932595 | + | 0.360925i | \(0.117539\pi\) |
−0.404231 | + | 0.914657i | \(0.632461\pi\) | |||||||
\(98\) | 11.1003i | 1.12130i | ||||||||
\(99\) | −1.08205 | + | 0.448199i | −0.108750 | + | 0.0450457i | ||||
\(100\) | −7.83787 | − | 7.83787i | −0.783787 | − | 0.783787i | ||||
\(101\) | 9.35458 | 0.930816 | 0.465408 | − | 0.885096i | \(-0.345908\pi\) | ||||
0.465408 | + | 0.885096i | \(0.345908\pi\) | |||||||
\(102\) | 4.12893 | − | 11.4134i | 0.408825 | − | 1.13009i | ||||
\(103\) | 13.9012 | 1.36972 | 0.684861 | − | 0.728673i | \(-0.259863\pi\) | ||||
0.684861 | + | 0.728673i | \(0.259863\pi\) | |||||||
\(104\) | −0.571725 | − | 0.571725i | −0.0560623 | − | 0.0560623i | ||||
\(105\) | −18.1040 | + | 7.49894i | −1.76677 | + | 0.731822i | ||||
\(106\) | 12.8898i | 1.25197i | ||||||||
\(107\) | −4.35164 | − | 10.5058i | −0.420689 | − | 1.01563i | −0.982145 | − | 0.188127i | \(-0.939758\pi\) |
0.561456 | − | 0.827507i | \(-0.310242\pi\) | |||||||
\(108\) | 7.93042 | + | 3.28489i | 0.763105 | + | 0.316088i | ||||
\(109\) | −3.80505 | + | 9.18621i | −0.364458 | + | 0.879879i | 0.630179 | + | 0.776450i | \(0.282982\pi\) |
−0.994637 | + | 0.103429i | \(0.967018\pi\) | |||||||
\(110\) | −9.80293 | + | 9.80293i | −0.934673 | + | 0.934673i | ||||
\(111\) | 6.56032 | − | 6.56032i | 0.622678 | − | 0.622678i | ||||
\(112\) | −6.46436 | + | 15.6064i | −0.610825 | + | 1.47466i | ||||
\(113\) | 10.4058 | + | 4.31020i | 0.978891 | + | 0.405470i | 0.814015 | − | 0.580845i | \(-0.197278\pi\) |
0.164876 | + | 0.986314i | \(0.447278\pi\) | |||||||
\(114\) | 0.687884 | + | 1.66070i | 0.0644262 | + | 0.155539i | ||||
\(115\) | − | 0.346723i | − | 0.0323321i | ||||||
\(116\) | −12.1496 | + | 5.03251i | −1.12806 | + | 0.467257i | ||||
\(117\) | −0.369790 | − | 0.369790i | −0.0341871 | − | 0.0341871i | ||||
\(118\) | −15.8286 | −1.45715 | ||||||||
\(119\) | 13.9235 | + | 5.03702i | 1.27637 | + | 0.461743i | ||||
\(120\) | −4.68242 | −0.427444 | ||||||||
\(121\) | −4.62949 | − | 4.62949i | −0.420863 | − | 0.420863i | ||||
\(122\) | −15.9315 | + | 6.59905i | −1.44237 | + | 0.597449i | ||||
\(123\) | 3.08809i | 0.278443i | ||||||||
\(124\) | −0.470948 | − | 1.13697i | −0.0422924 | − | 0.102103i | ||||
\(125\) | 7.02252 | + | 2.90882i | 0.628113 | + | 0.260173i | ||||
\(126\) | −1.43595 | + | 3.46669i | −0.127925 | + | 0.308837i | ||||
\(127\) | 15.3816 | − | 15.3816i | 1.36490 | − | 1.36490i | 0.497350 | − | 0.867550i | \(-0.334306\pi\) |
0.867550 | − | 0.497350i | \(-0.165694\pi\) | |||||||
\(128\) | −4.72813 | + | 4.72813i | −0.417911 | + | 0.417911i | ||||
\(129\) | 0.598380 | − | 1.44462i | 0.0526844 | − | 0.127191i | ||||
\(130\) | −5.71906 | − | 2.36891i | −0.501595 | − | 0.207768i | ||||
\(131\) | 6.31122 | + | 15.2366i | 0.551414 | + | 1.33123i | 0.916417 | + | 0.400225i | \(0.131068\pi\) |
−0.365003 | + | 0.931007i | \(0.618932\pi\) | |||||||
\(132\) | − | 5.09519i | − | 0.443479i | ||||||
\(133\) | −2.02594 | + | 0.839172i | −0.175671 | + | 0.0727655i | ||||
\(134\) | −3.05684 | − | 3.05684i | −0.264071 | − | 0.264071i | ||||
\(135\) | −19.3986 | −1.66957 | ||||||||
\(136\) | 2.61320 | + | 2.38519i | 0.224080 | + | 0.204529i | ||||
\(137\) | −8.88517 | −0.759111 | −0.379555 | − | 0.925169i | \(-0.623923\pi\) | ||||
−0.379555 | + | 0.925169i | \(0.623923\pi\) | |||||||
\(138\) | 0.206811 | + | 0.206811i | 0.0176049 | + | 0.0176049i | ||||
\(139\) | 3.60253 | − | 1.49222i | 0.305563 | − | 0.126568i | −0.224633 | − | 0.974443i | \(-0.572118\pi\) |
0.530196 | + | 0.847875i | \(0.322118\pi\) | |||||||
\(140\) | 19.3519i | 1.63553i | ||||||||
\(141\) | 6.35740 | + | 15.3481i | 0.535389 | + | 1.29254i | ||||
\(142\) | −6.99532 | − | 2.89756i | −0.587034 | − | 0.243158i | ||||
\(143\) | −0.760890 | + | 1.83695i | −0.0636288 | + | 0.153614i | ||||
\(144\) | −1.84607 | + | 1.84607i | −0.153839 | + | 0.153839i | ||||
\(145\) | 21.0145 | − | 21.0145i | 1.74516 | − | 1.74516i | ||||
\(146\) | −9.18650 | + | 22.1782i | −0.760280 | + | 1.83548i | ||||
\(147\) | 8.51786 | + | 3.52821i | 0.702541 | + | 0.291002i | ||||
\(148\) | −3.50625 | − | 8.46484i | −0.288212 | − | 0.695805i | ||||
\(149\) | − | 11.9799i | − | 0.981435i | −0.871319 | − | 0.490718i | \(-0.836735\pi\) | ||
0.871319 | − | 0.490718i | \(-0.163265\pi\) | |||||||
\(150\) | −19.5220 | + | 8.08627i | −1.59396 | + | 0.660241i | ||||
\(151\) | −11.7574 | − | 11.7574i | −0.956801 | − | 0.956801i | 0.0423035 | − | 0.999105i | \(-0.486530\pi\) |
−0.999105 | + | 0.0423035i | \(0.986530\pi\) | |||||||
\(152\) | −0.523988 | −0.0425010 | ||||||||
\(153\) | 1.69020 | + | 1.54273i | 0.136645 | + | 0.124723i | ||||
\(154\) | 14.2663 | 1.14961 | ||||||||
\(155\) | 1.96656 | + | 1.96656i | 0.157958 | + | 0.157958i | ||||
\(156\) | 2.10191 | − | 0.870640i | 0.168288 | − | 0.0697070i | ||||
\(157\) | 3.77796i | 0.301514i | 0.988571 | + | 0.150757i | \(0.0481711\pi\) | ||||
−0.988571 | + | 0.150757i | \(0.951829\pi\) | |||||||
\(158\) | −6.69531 | − | 16.1639i | −0.532651 | − | 1.28593i | ||||
\(159\) | 9.89100 | + | 4.09699i | 0.784408 | + | 0.324912i | ||||
\(160\) | −9.53420 | + | 23.0176i | −0.753745 | + | 1.81970i | ||||
\(161\) | −0.252295 | + | 0.252295i | −0.0198837 | + | 0.0198837i | ||||
\(162\) | 9.35420 | − | 9.35420i | 0.734935 | − | 0.734935i | ||||
\(163\) | −1.39524 | + | 3.36840i | −0.109283 | + | 0.263833i | −0.969055 | − | 0.246846i | \(-0.920606\pi\) |
0.859771 | + | 0.510679i | \(0.170606\pi\) | |||||||
\(164\) | 2.81753 | + | 1.16706i | 0.220012 | + | 0.0911319i | ||||
\(165\) | 4.40646 | + | 10.6381i | 0.343042 | + | 0.828177i | ||||
\(166\) | − | 23.8365i | − | 1.85007i | ||||||
\(167\) | 0.786743 | − | 0.325880i | 0.0608800 | − | 0.0252173i | −0.352036 | − | 0.935987i | \(-0.614510\pi\) |
0.412916 | + | 0.910769i | \(0.364510\pi\) | |||||||
\(168\) | 3.40719 | + | 3.40719i | 0.262871 | + | 0.262871i | ||||
\(169\) | 12.1122 | 0.931707 | ||||||||
\(170\) | 25.4722 | + | 9.21491i | 1.95363 | + | 0.706751i | ||||
\(171\) | −0.338913 | −0.0259174 | ||||||||
\(172\) | −1.09191 | − | 1.09191i | −0.0832572 | − | 0.0832572i | ||||
\(173\) | 7.29221 | − | 3.02053i | 0.554417 | − | 0.229647i | −0.0878427 | − | 0.996134i | \(-0.527997\pi\) |
0.642259 | + | 0.766488i | \(0.277997\pi\) | |||||||
\(174\) | 25.0692i | 1.90049i | ||||||||
\(175\) | −9.86470 | − | 23.8155i | −0.745701 | − | 1.80028i | ||||
\(176\) | 9.17046 | + | 3.79853i | 0.691250 | + | 0.286325i | ||||
\(177\) | −5.03110 | + | 12.1461i | −0.378160 | + | 0.912960i | ||||
\(178\) | −2.18722 | + | 2.18722i | −0.163939 | + | 0.163939i | ||||
\(179\) | 7.90822 | − | 7.90822i | 0.591088 | − | 0.591088i | −0.346837 | − | 0.937925i | \(-0.612744\pi\) |
0.937925 | + | 0.346837i | \(0.112744\pi\) | |||||||
\(180\) | −1.14456 | + | 2.76322i | −0.0853108 | + | 0.205959i | ||||
\(181\) | 4.92100 | + | 2.03834i | 0.365775 | + | 0.151509i | 0.557998 | − | 0.829842i | \(-0.311570\pi\) |
−0.192223 | + | 0.981351i | \(0.561570\pi\) | |||||||
\(182\) | 2.43776 | + | 5.88527i | 0.180699 | + | 0.436245i | ||||
\(183\) | 14.3226i | 1.05875i | ||||||||
\(184\) | −0.0787679 | + | 0.0326267i | −0.00580685 | + | 0.00240528i | ||||
\(185\) | 14.6412 | + | 14.6412i | 1.07645 | + | 1.07645i | ||||
\(186\) | −2.34600 | −0.172017 | ||||||||
\(187\) | 2.95981 | − | 8.18162i | 0.216443 | − | 0.598299i | ||||
\(188\) | 16.4060 | 1.19653 | ||||||||
\(189\) | 14.1155 | + | 14.1155i | 1.02675 | + | 1.02675i | ||||
\(190\) | −3.70633 | + | 1.53521i | −0.268885 | + | 0.111376i | ||||
\(191\) | 19.0199i | 1.37623i | 0.725600 | + | 0.688117i | \(0.241562\pi\) | ||||
−0.725600 | + | 0.688117i | \(0.758438\pi\) | |||||||
\(192\) | −2.41309 | − | 5.82571i | −0.174150 | − | 0.420434i | ||||
\(193\) | 18.4375 | + | 7.63706i | 1.32716 | + | 0.549727i | 0.929844 | − | 0.367955i | \(-0.119942\pi\) |
0.397316 | + | 0.917682i | \(0.369942\pi\) | |||||||
\(194\) | 9.79664 | − | 23.6512i | 0.703358 | − | 1.69806i | ||||
\(195\) | −3.63558 | + | 3.63558i | −0.260349 | + | 0.260349i | ||||
\(196\) | 6.43818 | − | 6.43818i | 0.459870 | − | 0.459870i | ||||
\(197\) | −2.26905 | + | 5.47796i | −0.161663 | + | 0.390289i | −0.983866 | − | 0.178905i | \(-0.942745\pi\) |
0.822204 | + | 0.569194i | \(0.192745\pi\) | |||||||
\(198\) | 2.03707 | + | 0.843780i | 0.144768 | + | 0.0599648i | ||||
\(199\) | −6.29360 | − | 15.1941i | −0.446141 | − | 1.07708i | −0.973756 | − | 0.227597i | \(-0.926913\pi\) |
0.527614 | − | 0.849484i | \(-0.323087\pi\) | |||||||
\(200\) | − | 6.15962i | − | 0.435551i | ||||||
\(201\) | −3.31728 | + | 1.37406i | −0.233983 | + | 0.0969188i | ||||
\(202\) | −12.4528 | − | 12.4528i | −0.876178 | − | 0.876178i | ||||
\(203\) | −30.5827 | −2.14649 | ||||||||
\(204\) | −9.01452 | + | 4.22496i | −0.631143 | + | 0.295807i | ||||
\(205\) | −6.89195 | −0.481355 | ||||||||
\(206\) | −18.5052 | − | 18.5052i | −1.28932 | − | 1.28932i | ||||
\(207\) | −0.0509468 | + | 0.0211028i | −0.00354105 | + | 0.00146675i | ||||
\(208\) | 4.43215i | 0.307314i | ||||||||
\(209\) | 0.493107 | + | 1.19046i | 0.0341089 | + | 0.0823462i | ||||
\(210\) | 34.0827 | + | 14.1175i | 2.35193 | + | 0.974201i | ||||
\(211\) | −3.94246 | + | 9.51793i | −0.271410 | + | 0.655241i | −0.999544 | − | 0.0301933i | \(-0.990388\pi\) |
0.728134 | + | 0.685435i | \(0.240388\pi\) | |||||||
\(212\) | 7.47607 | − | 7.47607i | 0.513459 | − | 0.513459i | ||||
\(213\) | −4.44689 | + | 4.44689i | −0.304696 | + | 0.304696i | ||||
\(214\) | −8.19241 | + | 19.7782i | −0.560022 | + | 1.35201i | ||||
\(215\) | 3.22408 | + | 1.33546i | 0.219880 | + | 0.0910775i | ||||
\(216\) | 1.82541 | + | 4.40694i | 0.124204 | + | 0.299854i | ||||
\(217\) | − | 2.86197i | − | 0.194283i | ||||||
\(218\) | 17.2940 | − | 7.16340i | 1.17130 | − | 0.485167i | ||||
\(219\) | 14.0986 | + | 14.0986i | 0.952692 | + | 0.952692i | ||||
\(220\) | 11.3714 | 0.766658 | ||||||||
\(221\) | 3.88091 | − | 0.177028i | 0.261058 | − | 0.0119082i | ||||
\(222\) | −17.4662 | −1.17225 | ||||||||
\(223\) | 10.5425 | + | 10.5425i | 0.705980 | + | 0.705980i | 0.965687 | − | 0.259707i | \(-0.0836261\pi\) |
−0.259707 | + | 0.965687i | \(0.583626\pi\) | |||||||
\(224\) | 23.6865 | − | 9.81128i | 1.58262 | − | 0.655544i | ||||
\(225\) | − | 3.98402i | − | 0.265601i | ||||||
\(226\) | −8.11440 | − | 19.5899i | −0.539762 | − | 1.30310i | ||||
\(227\) | 0.922622 | + | 0.382163i | 0.0612366 | + | 0.0253650i | 0.413092 | − | 0.910690i | \(-0.364449\pi\) |
−0.351855 | + | 0.936055i | \(0.614449\pi\) | |||||||
\(228\) | 0.564232 | − | 1.36218i | 0.0373672 | − | 0.0902123i | ||||
\(229\) | −1.70595 | + | 1.70595i | −0.112733 | + | 0.112733i | −0.761223 | − | 0.648490i | \(-0.775401\pi\) |
0.648490 | + | 0.761223i | \(0.275401\pi\) | |||||||
\(230\) | −0.461558 | + | 0.461558i | −0.0304342 | + | 0.0304342i | ||||
\(231\) | 4.53452 | − | 10.9473i | 0.298349 | − | 0.720279i | ||||
\(232\) | −6.75152 | − | 2.79657i | −0.443259 | − | 0.183604i | ||||
\(233\) | 6.26060 | + | 15.1144i | 0.410146 | + | 0.990179i | 0.985098 | + | 0.171992i | \(0.0550205\pi\) |
−0.574953 | + | 0.818187i | \(0.694980\pi\) | |||||||
\(234\) | 0.984529i | 0.0643607i | ||||||||
\(235\) | −34.2537 | + | 14.1884i | −2.23447 | + | 0.925547i | ||||
\(236\) | 9.18060 | + | 9.18060i | 0.597606 | + | 0.597606i | ||||
\(237\) | −14.5315 | −0.943922 | ||||||||
\(238\) | −11.8297 | − | 25.2403i | −0.766808 | − | 1.63609i | ||||
\(239\) | 9.29066 | 0.600963 | 0.300481 | − | 0.953788i | \(-0.402853\pi\) | ||||
0.300481 | + | 0.953788i | \(0.402853\pi\) | |||||||
\(240\) | 18.1496 | + | 18.1496i | 1.17155 | + | 1.17155i | ||||
\(241\) | 17.1855 | − | 7.11847i | 1.10702 | − | 0.458541i | 0.247106 | − | 0.968988i | \(-0.420520\pi\) |
0.859909 | + | 0.510448i | \(0.170520\pi\) | |||||||
\(242\) | 12.3256i | 0.792318i | ||||||||
\(243\) | 2.17701 | + | 5.25577i | 0.139655 | + | 0.337158i | ||||
\(244\) | 13.0677 | + | 5.41282i | 0.836574 | + | 0.346520i | ||||
\(245\) | −7.87422 | + | 19.0101i | −0.503066 | + | 1.21451i | ||||
\(246\) | 4.11086 | − | 4.11086i | 0.262099 | − | 0.262099i | ||||
\(247\) | −0.406841 | + | 0.406841i | −0.0258867 | + | 0.0258867i | ||||
\(248\) | 0.261706 | − | 0.631814i | 0.0166184 | − | 0.0401203i | ||||
\(249\) | −18.2910 | − | 7.57638i | −1.15915 | − | 0.480134i | ||||
\(250\) | −5.47615 | − | 13.2206i | −0.346342 | − | 0.836144i | ||||
\(251\) | − | 2.05272i | − | 0.129566i | −0.997899 | − | 0.0647832i | \(-0.979364\pi\) | ||
0.997899 | − | 0.0647832i | \(-0.0206356\pi\) | |||||||
\(252\) | 2.84353 | − | 1.17783i | 0.179125 | − | 0.0741962i | ||||
\(253\) | 0.148251 | + | 0.148251i | 0.00932049 | + | 0.00932049i | ||||
\(254\) | −40.9521 | −2.56956 | ||||||||
\(255\) | 15.1674 | − | 16.6172i | 0.949816 | − | 1.04061i | ||||
\(256\) | 20.6536 | 1.29085 | ||||||||
\(257\) | −20.8110 | − | 20.8110i | −1.29815 | − | 1.29815i | −0.929610 | − | 0.368544i | \(-0.879857\pi\) |
−0.368544 | − | 0.929610i | \(-0.620143\pi\) | |||||||
\(258\) | −2.71964 | + | 1.12651i | −0.169317 | + | 0.0701336i | ||||
\(259\) | − | 21.3076i | − | 1.32399i | ||||||
\(260\) | 1.94308 | + | 4.69102i | 0.120505 | + | 0.290925i | ||||
\(261\) | −4.36685 | − | 1.80881i | −0.270302 | − | 0.111963i | ||||
\(262\) | 11.8815 | − | 28.6845i | 0.734043 | − | 1.77214i | ||||
\(263\) | 16.8402 | − | 16.8402i | 1.03841 | − | 1.03841i | 0.0391787 | − | 0.999232i | \(-0.487526\pi\) |
0.999232 | − | 0.0391787i | \(-0.0124741\pi\) | |||||||
\(264\) | 2.00210 | − | 2.00210i | 0.123221 | − | 0.123221i | ||||
\(265\) | −9.14361 | + | 22.0746i | −0.561687 | + | 1.35603i | ||||
\(266\) | 3.81404 | + | 1.57983i | 0.233854 | + | 0.0968654i | ||||
\(267\) | 0.983165 | + | 2.37357i | 0.0601687 | + | 0.145260i | ||||
\(268\) | 3.54593i | 0.216602i | ||||||||
\(269\) | −4.29691 | + | 1.77984i | −0.261987 | + | 0.108519i | −0.509811 | − | 0.860287i | \(-0.670285\pi\) |
0.247824 | + | 0.968805i | \(0.420285\pi\) | |||||||
\(270\) | 25.8234 | + | 25.8234i | 1.57156 | + | 1.57156i | ||||
\(271\) | 17.0338 | 1.03473 | 0.517364 | − | 0.855765i | \(-0.326913\pi\) | ||||
0.517364 | + | 0.855765i | \(0.326913\pi\) | |||||||
\(272\) | −0.883765 | − | 19.3744i | −0.0535861 | − | 1.17474i | ||||
\(273\) | 5.29091 | 0.320220 | ||||||||
\(274\) | 11.8279 | + | 11.8279i | 0.714552 | + | 0.714552i | ||||
\(275\) | −13.9942 | + | 5.79660i | −0.843885 | + | 0.349548i | ||||
\(276\) | − | 0.239900i | − | 0.0144403i | ||||||
\(277\) | 4.17782 | + | 10.0861i | 0.251021 | + | 0.606018i | 0.998287 | − | 0.0585072i | \(-0.0186340\pi\) |
−0.747266 | + | 0.664525i | \(0.768634\pi\) | |||||||
\(278\) | −6.78213 | − | 2.80925i | −0.406765 | − | 0.168488i | ||||
\(279\) | 0.169270 | − | 0.408655i | 0.0101340 | − | 0.0244655i | ||||
\(280\) | −7.60413 | + | 7.60413i | −0.454434 | + | 0.454434i | ||||
\(281\) | 20.9704 | − | 20.9704i | 1.25099 | − | 1.25099i | 0.295714 | − | 0.955276i | \(-0.404442\pi\) |
0.955276 | − | 0.295714i | \(-0.0955577\pi\) | |||||||
\(282\) | 11.9684 | − | 28.8944i | 0.712711 | − | 1.72064i | ||||
\(283\) | −10.5496 | − | 4.36978i | −0.627107 | − | 0.259756i | 0.0464162 | − | 0.998922i | \(-0.485220\pi\) |
−0.673523 | + | 0.739166i | \(0.735220\pi\) | |||||||
\(284\) | 2.37670 | + | 5.73786i | 0.141031 | + | 0.340479i | ||||
\(285\) | 3.33202i | 0.197372i | ||||||||
\(286\) | 3.45825 | − | 1.43245i | 0.204491 | − | 0.0847028i | ||||
\(287\) | 5.01498 | + | 5.01498i | 0.296025 | + | 0.296025i | ||||
\(288\) | 3.96245 | 0.233489 | ||||||||
\(289\) | −16.9294 | + | 1.54770i | −0.995847 | + | 0.0910409i | ||||
\(290\) | −55.9491 | −3.28544 | ||||||||
\(291\) | −15.0349 | − | 15.0349i | −0.881363 | − | 0.881363i | ||||
\(292\) | 18.1915 | − | 7.53516i | 1.06458 | − | 0.440962i | ||||
\(293\) | 26.2989i | 1.53640i | 0.640211 | + | 0.768199i | \(0.278847\pi\) | ||||
−0.640211 | + | 0.768199i | \(0.721153\pi\) | |||||||
\(294\) | −6.64222 | − | 16.0357i | −0.387382 | − | 0.935223i | ||||
\(295\) | −27.1076 | − | 11.2283i | −1.57827 | − | 0.653739i | ||||
\(296\) | 1.94843 | − | 4.70392i | 0.113250 | − | 0.273410i | ||||
\(297\) | 8.29443 | − | 8.29443i | 0.481292 | − | 0.481292i | ||||
\(298\) | −15.9477 | + | 15.9477i | −0.923826 | + | 0.923826i | ||||
\(299\) | −0.0358255 | + | 0.0864904i | −0.00207184 | + | 0.00500187i | ||||
\(300\) | 16.0128 | + | 6.63270i | 0.924497 | + | 0.382939i | ||||
\(301\) | −1.37427 | − | 3.31778i | −0.0792115 | − | 0.191234i | ||||
\(302\) | 31.3028i | 1.80128i | ||||||||
\(303\) | −13.5138 | + | 5.59760i | −0.776347 | + | 0.321574i | ||||
\(304\) | 2.03104 | + | 2.03104i | 0.116488 | + | 0.116488i | ||||
\(305\) | −31.9649 | −1.83031 | ||||||||
\(306\) | −0.196314 | − | 4.30369i | −0.0112225 | − | 0.246026i | ||||
\(307\) | −18.7902 | −1.07241 | −0.536205 | − | 0.844088i | \(-0.680143\pi\) | ||||
−0.536205 | + | 0.844088i | \(0.680143\pi\) | |||||||
\(308\) | −8.27446 | − | 8.27446i | −0.471481 | − | 0.471481i | ||||
\(309\) | −20.0819 | + | 8.31818i | −1.14242 | + | 0.473205i | ||||
\(310\) | − | 5.23578i | − | 0.297372i | ||||||
\(311\) | −6.52993 | − | 15.7646i | −0.370278 | − | 0.893931i | −0.993703 | − | 0.112047i | \(-0.964259\pi\) |
0.623425 | − | 0.781884i | \(-0.285741\pi\) | |||||||
\(312\) | 1.16803 | + | 0.483815i | 0.0661269 | + | 0.0273907i | ||||
\(313\) | −2.52809 | + | 6.10334i | −0.142896 | + | 0.344981i | −0.979082 | − | 0.203464i | \(-0.934780\pi\) |
0.836187 | + | 0.548445i | \(0.184780\pi\) | |||||||
\(314\) | 5.02922 | − | 5.02922i | 0.283815 | − | 0.283815i | ||||
\(315\) | −4.91832 | + | 4.91832i | −0.277116 | + | 0.277116i | ||||
\(316\) | −5.49178 | + | 13.2583i | −0.308937 | + | 0.745839i | ||||
\(317\) | −21.2189 | − | 8.78916i | −1.19177 | − | 0.493649i | −0.303441 | − | 0.952850i | \(-0.598136\pi\) |
−0.888332 | + | 0.459202i | \(0.848136\pi\) | |||||||
\(318\) | −7.71300 | − | 18.6208i | −0.432523 | − | 1.04420i | ||||
\(319\) | 17.9707i | 1.00617i | ||||||||
\(320\) | 13.0017 | − | 5.38550i | 0.726820 | − | 0.301059i | ||||
\(321\) | 12.5729 | + | 12.5729i | 0.701752 | + | 0.701752i | ||||
\(322\) | 0.671711 | 0.0374330 | ||||||||
\(323\) | 1.69731 | − | 1.85956i | 0.0944408 | − | 0.103468i | ||||
\(324\) | −10.8509 | −0.602825 | ||||||||
\(325\) | −4.78253 | − | 4.78253i | −0.265287 | − | 0.265287i | ||||
\(326\) | 6.34135 | − | 2.62667i | 0.351215 | − | 0.145478i | ||||
\(327\) | − | 15.5474i | − | 0.859775i | ||||||
\(328\) | 0.648535 | + | 1.56570i | 0.0358093 | + | 0.0864514i | ||||
\(329\) | 35.2492 | + | 14.6007i | 1.94335 | + | 0.804963i | ||||
\(330\) | 8.29561 | − | 20.0274i | 0.456658 | − | 1.10247i | ||||
\(331\) | 4.31444 | − | 4.31444i | 0.237143 | − | 0.237143i | −0.578523 | − | 0.815666i | \(-0.696371\pi\) |
0.815666 | + | 0.578523i | \(0.196371\pi\) | |||||||
\(332\) | −13.8252 | + | 13.8252i | −0.758755 | + | 0.758755i | ||||
\(333\) | 1.26023 | − | 3.04248i | 0.0690604 | − | 0.166727i | ||||
\(334\) | −1.48112 | − | 0.613501i | −0.0810435 | − | 0.0335693i | ||||
\(335\) | −3.06661 | − | 7.40346i | −0.167547 | − | 0.404494i | ||||
\(336\) | − | 26.4134i | − | 1.44097i | ||||||
\(337\) | 0.406671 | − | 0.168449i | 0.0221528 | − | 0.00917598i | −0.371580 | − | 0.928401i | \(-0.621184\pi\) |
0.393732 | + | 0.919225i | \(0.371184\pi\) | |||||||
\(338\) | −16.1238 | − | 16.1238i | −0.877017 | − | 0.877017i | ||||
\(339\) | −17.6115 | −0.956524 | ||||||||
\(340\) | −9.42922 | − | 20.1185i | −0.511372 | − | 1.09108i | ||||
\(341\) | −1.68172 | −0.0910703 | ||||||||
\(342\) | 0.451162 | + | 0.451162i | 0.0243960 | + | 0.0243960i | ||||
\(343\) | −3.66193 | + | 1.51682i | −0.197725 | + | 0.0819006i | ||||
\(344\) | − | 0.858108i | − | 0.0462661i | ||||||
\(345\) | 0.207472 | + | 0.500882i | 0.0111699 | + | 0.0269666i | ||||
\(346\) | −13.7283 | − | 5.68646i | −0.738040 | − | 0.305706i | ||||
\(347\) | 6.59584 | − | 15.9238i | 0.354083 | − | 0.854833i | −0.642024 | − | 0.766684i | \(-0.721905\pi\) |
0.996107 | − | 0.0881481i | \(-0.0280949\pi\) | |||||||
\(348\) | 14.5401 | − | 14.5401i | 0.779431 | − | 0.779431i | ||||
\(349\) | 15.6452 | − | 15.6452i | 0.837471 | − | 0.837471i | −0.151055 | − | 0.988525i | \(-0.548267\pi\) |
0.988525 | + | 0.151055i | \(0.0482669\pi\) | |||||||
\(350\) | −18.5713 | + | 44.8351i | −0.992678 | + | 2.39654i | ||||
\(351\) | 4.83900 | + | 2.00438i | 0.258287 | + | 0.106986i | ||||
\(352\) | −5.76522 | − | 13.9185i | −0.307287 | − | 0.741856i | ||||
\(353\) | − | 7.19612i | − | 0.383011i | −0.981492 | − | 0.191505i | \(-0.938663\pi\) | ||
0.981492 | − | 0.191505i | \(-0.0613369\pi\) | |||||||
\(354\) | 22.8663 | − | 9.47155i | 1.21533 | − | 0.503407i | ||||
\(355\) | −9.92452 | − | 9.92452i | −0.526739 | − | 0.526739i | ||||
\(356\) | 2.53717 | 0.134470 | ||||||||
\(357\) | −23.1282 | + | 1.05500i | −1.22408 | + | 0.0558365i | ||||
\(358\) | −21.0549 | −1.11278 | ||||||||
\(359\) | −8.60248 | − | 8.60248i | −0.454022 | − | 0.454022i | 0.442665 | − | 0.896687i | \(-0.354033\pi\) |
−0.896687 | + | 0.442665i | \(0.854033\pi\) | |||||||
\(360\) | −1.53553 | + | 0.636036i | −0.0809293 | + | 0.0335220i | ||||
\(361\) | − | 18.6271i | − | 0.980375i | ||||||
\(362\) | −3.83739 | − | 9.26428i | −0.201689 | − | 0.486920i | ||||
\(363\) | 9.45805 | + | 3.91765i | 0.496419 | + | 0.205623i | ||||
\(364\) | 1.99955 | − | 4.82735i | 0.104805 | − | 0.253022i | ||||
\(365\) | −31.4650 | + | 31.4650i | −1.64695 | + | 1.64695i | ||||
\(366\) | 19.0662 | − | 19.0662i | 0.996606 | − | 0.996606i | ||||
\(367\) | −6.57226 | + | 15.8668i | −0.343069 | + | 0.828243i | 0.654333 | + | 0.756207i | \(0.272950\pi\) |
−0.997402 | + | 0.0720358i | \(0.977050\pi\) | |||||||
\(368\) | 0.431779 | + | 0.178849i | 0.0225080 | + | 0.00932313i | ||||
\(369\) | 0.419470 | + | 1.01269i | 0.0218367 | + | 0.0527185i | ||||
\(370\) | − | 38.9809i | − | 2.02652i | ||||||
\(371\) | 22.7162 | − | 9.40934i | 1.17936 | − | 0.488509i | ||||
\(372\) | 1.36068 | + | 1.36068i | 0.0705479 | + | 0.0705479i | ||||
\(373\) | −2.51977 | −0.130469 | −0.0652344 | − | 0.997870i | \(-0.520780\pi\) | ||||
−0.0652344 | + | 0.997870i | \(0.520780\pi\) | |||||||
\(374\) | −14.8315 | + | 6.95128i | −0.766918 | + | 0.359442i | ||||
\(375\) | −11.8854 | −0.613761 | ||||||||
\(376\) | 6.44657 | + | 6.44657i | 0.332457 | + | 0.332457i | ||||
\(377\) | −7.41344 | + | 3.07075i | −0.381812 | + | 0.158152i | ||||
\(378\) | − | 37.5812i | − | 1.93297i | ||||||
\(379\) | 5.59395 | + | 13.5050i | 0.287342 | + | 0.693704i | 0.999969 | − | 0.00783833i | \(-0.00249504\pi\) |
−0.712628 | + | 0.701543i | \(0.752495\pi\) | |||||||
\(380\) | 3.04009 | + | 1.25925i | 0.155953 | + | 0.0645979i | ||||
\(381\) | −13.0165 | + | 31.4247i | −0.666857 | + | 1.60993i | ||||
\(382\) | 25.3194 | − | 25.3194i | 1.29545 | − | 1.29545i | ||||
\(383\) | −10.9310 | + | 10.9310i | −0.558546 | + | 0.558546i | −0.928893 | − | 0.370347i | \(-0.879239\pi\) |
0.370347 | + | 0.928893i | \(0.379239\pi\) | |||||||
\(384\) | 4.00112 | − | 9.65955i | 0.204181 | − | 0.492937i | ||||
\(385\) | 24.4320 | + | 10.1201i | 1.24517 | + | 0.515767i | ||||
\(386\) | −14.3775 | − | 34.7105i | −0.731798 | − | 1.76672i | ||||
\(387\) | − | 0.555021i | − | 0.0282133i | ||||||
\(388\) | −19.3997 | + | 8.03562i | −0.984871 | + | 0.407947i | ||||
\(389\) | −25.0516 | − | 25.0516i | −1.27017 | − | 1.27017i | −0.946001 | − | 0.324164i | \(-0.894917\pi\) |
−0.324164 | − | 0.946001i | \(-0.605083\pi\) | |||||||
\(390\) | 9.67937 | 0.490134 | ||||||||
\(391\) | 0.139359 | − | 0.385221i | 0.00704767 | − | 0.0194815i | ||||
\(392\) | 5.05964 | 0.255550 | ||||||||
\(393\) | −18.2346 | − | 18.2346i | −0.919815 | − | 0.919815i | ||||
\(394\) | 10.3128 | − | 4.27171i | 0.519552 | − | 0.215206i | ||||
\(395\) | − | 32.4312i | − | 1.63179i | ||||||
\(396\) | −0.692104 | − | 1.67089i | −0.0347796 | − | 0.0839653i | ||||
\(397\) | −4.95009 | − | 2.05040i | −0.248438 | − | 0.102906i | 0.254990 | − | 0.966944i | \(-0.417928\pi\) |
−0.503428 | + | 0.864037i | \(0.667928\pi\) | |||||||
\(398\) | −11.8483 | + | 28.6044i | −0.593904 | + | 1.43381i | ||||
\(399\) | 2.42457 | − | 2.42457i | 0.121380 | − | 0.121380i | ||||
\(400\) | −23.8754 | + | 23.8754i | −1.19377 | + | 1.19377i | ||||
\(401\) | 5.44650 | − | 13.1490i | 0.271985 | − | 0.656630i | −0.727583 | − | 0.686020i | \(-0.759356\pi\) |
0.999568 | + | 0.0293896i | \(0.00935636\pi\) | |||||||
\(402\) | 6.24511 | + | 2.58681i | 0.311478 | + | 0.129018i | ||||
\(403\) | −0.287364 | − | 0.693758i | −0.0143146 | − | 0.0345586i | ||||
\(404\) | 14.4453i | 0.718678i | ||||||||
\(405\) | 22.6553 | − | 9.38412i | 1.12575 | − | 0.466300i | ||||
\(406\) | 40.7117 | + | 40.7117i | 2.02049 | + | 2.02049i | ||||
\(407\) | −12.5206 | −0.620622 | ||||||||
\(408\) | −5.20232 | − | 1.88201i | −0.257553 | − | 0.0931733i | ||||
\(409\) | 24.8095 | 1.22675 | 0.613374 | − | 0.789792i | \(-0.289812\pi\) | ||||
0.613374 | + | 0.789792i | \(0.289812\pi\) | |||||||
\(410\) | 9.17457 | + | 9.17457i | 0.453100 | + | 0.453100i | ||||
\(411\) | 12.8357 | − | 5.31671i | 0.633137 | − | 0.262254i | ||||
\(412\) | 21.4661i | 1.05756i | ||||||||
\(413\) | 11.5547 | + | 27.8954i | 0.568567 | + | 1.37264i | ||||
\(414\) | 0.0959125 | + | 0.0397283i | 0.00471384 | + | 0.00195254i | ||||
\(415\) | 16.9089 | − | 40.8216i | 0.830024 | − | 2.00386i | ||||
\(416\) | 4.75663 | − | 4.75663i | 0.233213 | − | 0.233213i | ||||
\(417\) | −4.31136 | + | 4.31136i | −0.211128 | + | 0.211128i | ||||
\(418\) | 0.928324 | − | 2.24117i | 0.0454058 | − | 0.109619i | ||||
\(419\) | 26.0215 | + | 10.7784i | 1.27123 | + | 0.526561i | 0.913338 | − | 0.407201i | \(-0.133495\pi\) |
0.357893 | + | 0.933763i | \(0.383495\pi\) | |||||||
\(420\) | −11.5798 | − | 27.9561i | −0.565036 | − | 1.36412i | ||||
\(421\) | 35.5677i | 1.73347i | 0.498773 | + | 0.866733i | \(0.333784\pi\) | ||||
−0.498773 | + | 0.866733i | \(0.666216\pi\) | |||||||
\(422\) | 17.9185 | − | 7.42207i | 0.872258 | − | 0.361301i | ||||
\(423\) | 4.16962 | + | 4.16962i | 0.202734 | + | 0.202734i | ||||
\(424\) | 5.87529 | 0.285329 | ||||||||
\(425\) | 21.8596 | + | 19.9523i | 1.06035 | + | 0.967831i | ||||
\(426\) | 11.8394 | 0.573621 | ||||||||
\(427\) | 23.2595 | + | 23.2595i | 1.12561 | + | 1.12561i | ||||
\(428\) | 16.2229 | − | 6.71977i | 0.784166 | − | 0.324812i | ||||
\(429\) | − | 3.10899i | − | 0.150104i | ||||||
\(430\) | −2.51414 | − | 6.06966i | −0.121242 | − | 0.292705i | ||||
\(431\) | 22.6485 | + | 9.38130i | 1.09094 | + | 0.451881i | 0.854334 | − | 0.519725i | \(-0.173965\pi\) |
0.236605 | + | 0.971606i | \(0.423965\pi\) | |||||||
\(432\) | 10.0063 | − | 24.1573i | 0.481428 | − | 1.16227i | ||||
\(433\) | 4.97901 | − | 4.97901i | 0.239276 | − | 0.239276i | −0.577274 | − | 0.816550i | \(-0.695884\pi\) |
0.816550 | + | 0.577274i | \(0.195884\pi\) | |||||||
\(434\) | −3.80985 | + | 3.80985i | −0.182879 | + | 0.182879i | ||||
\(435\) | −17.7833 | + | 42.9326i | −0.852643 | + | 2.05846i | ||||
\(436\) | −14.1853 | − | 5.87573i | −0.679351 | − | 0.281396i | ||||
\(437\) | 0.0232173 | + | 0.0560515i | 0.00111063 | + | 0.00268130i | ||||
\(438\) | − | 37.5360i | − | 1.79354i | ||||||
\(439\) | −19.3759 | + | 8.02577i | −0.924763 | + | 0.383049i | −0.793689 | − | 0.608323i | \(-0.791842\pi\) |
−0.131073 | + | 0.991373i | \(0.541842\pi\) | |||||||
\(440\) | 4.46827 | + | 4.46827i | 0.213016 | + | 0.213016i | ||||
\(441\) | 3.27255 | 0.155836 | ||||||||
\(442\) | −5.40193 | − | 4.93061i | −0.256944 | − | 0.234525i | ||||
\(443\) | 27.5384 | 1.30839 | 0.654194 | − | 0.756327i | \(-0.273008\pi\) | ||||
0.654194 | + | 0.756327i | \(0.273008\pi\) | |||||||
\(444\) | 10.1304 | + | 10.1304i | 0.480767 | + | 0.480767i | ||||
\(445\) | −5.29731 | + | 2.19422i | −0.251116 | + | 0.104016i | ||||
\(446\) | − | 28.0684i | − | 1.32908i | ||||||
\(447\) | 7.16856 | + | 17.3064i | 0.339061 | + | 0.818566i | ||||
\(448\) | −13.3796 | − | 5.54201i | −0.632127 | − | 0.261836i | ||||
\(449\) | 5.20629 | − | 12.5691i | 0.245700 | − | 0.593172i | −0.752130 | − | 0.659015i | \(-0.770973\pi\) |
0.997830 | + | 0.0658423i | \(0.0209734\pi\) | |||||||
\(450\) | −5.30353 | + | 5.30353i | −0.250011 | + | 0.250011i | ||||
\(451\) | 2.94685 | − | 2.94685i | 0.138762 | − | 0.138762i | ||||
\(452\) | −6.65577 | + | 16.0685i | −0.313061 | + | 0.755797i | ||||
\(453\) | 24.0203 | + | 9.94953i | 1.12857 | + | 0.467470i | ||||
\(454\) | −0.719460 | − | 1.73693i | −0.0337659 | − | 0.0815182i | ||||
\(455\) | 11.8082i | 0.553576i | ||||||||
\(456\) | 0.756962 | − | 0.313544i | 0.0354480 | − | 0.0146830i | ||||
\(457\) | 20.4246 | + | 20.4246i | 0.955424 | + | 0.955424i | 0.999048 | − | 0.0436238i | \(-0.0138903\pi\) |
−0.0436238 | + | 0.999048i | \(0.513890\pi\) | |||||||
\(458\) | 4.54193 | 0.212230 | ||||||||
\(459\) | −21.5525 | − | 7.79689i | −1.00598 | − | 0.363928i | ||||
\(460\) | 0.535406 | 0.0249635 | ||||||||
\(461\) | −21.2636 | − | 21.2636i | −0.990345 | − | 0.990345i | 0.00960856 | − | 0.999954i | \(-0.496941\pi\) |
−0.999954 | + | 0.00960856i | \(0.996941\pi\) | |||||||
\(462\) | −20.6094 | + | 8.53669i | −0.958836 | + | 0.397163i | ||||
\(463\) | 8.60013i | 0.399682i | 0.979828 | + | 0.199841i | \(0.0640426\pi\) | ||||
−0.979828 | + | 0.199841i | \(0.935957\pi\) | |||||||
\(464\) | 15.3298 | + | 37.0095i | 0.711670 | + | 1.71812i | ||||
\(465\) | −4.01768 | − | 1.66418i | −0.186316 | − | 0.0771745i | ||||
\(466\) | 11.7862 | − | 28.4545i | 0.545986 | − | 1.31813i | ||||
\(467\) | 4.77061 | − | 4.77061i | 0.220758 | − | 0.220758i | −0.588060 | − | 0.808817i | \(-0.700108\pi\) |
0.808817 | + | 0.588060i | \(0.200108\pi\) | |||||||
\(468\) | 0.571026 | − | 0.571026i | 0.0263957 | − | 0.0263957i | ||||
\(469\) | −3.15574 | + | 7.61862i | −0.145718 | + | 0.351795i | ||||
\(470\) | 64.4862 | + | 26.7110i | 2.97452 | + | 1.23209i | ||||
\(471\) | −2.26066 | − | 5.45771i | −0.104166 | − | 0.251478i | ||||
\(472\) | 7.21485i | 0.332090i | ||||||||
\(473\) | −1.94956 | + | 0.807535i | −0.0896410 | + | 0.0371305i | ||||
\(474\) | 19.3443 | + | 19.3443i | 0.888515 | + | 0.888515i | ||||
\(475\) | −4.38320 | −0.201115 | ||||||||
\(476\) | −7.77812 | + | 21.5006i | −0.356510 | + | 0.985478i | ||||
\(477\) | 3.80012 | 0.173995 | ||||||||
\(478\) | −12.3677 | − | 12.3677i | −0.565687 | − | 0.565687i | ||||
\(479\) | −14.6398 | + | 6.06402i | −0.668912 | + | 0.277072i | −0.691183 | − | 0.722680i | \(-0.742910\pi\) |
0.0222715 | + | 0.999752i | \(0.492910\pi\) | |||||||
\(480\) | − | 38.9567i | − | 1.77812i | ||||||
\(481\) | −2.13945 | − | 5.16510i | −0.0975507 | − | 0.235508i | ||||
\(482\) | −32.3535 | − | 13.4012i | −1.47366 | − | 0.610410i | ||||
\(483\) | 0.213502 | − | 0.515439i | 0.00971467 | − | 0.0234533i | ||||
\(484\) | 7.14882 | − | 7.14882i | 0.324946 | − | 0.324946i | ||||
\(485\) | 33.5548 | − | 33.5548i | 1.52364 | − | 1.52364i | ||||
\(486\) | 4.09845 | − | 9.89452i | 0.185909 | − | 0.448825i | ||||
\(487\) | −28.5450 | − | 11.8237i | −1.29350 | − | 0.535784i | −0.373470 | − | 0.927642i | \(-0.621832\pi\) |
−0.920026 | + | 0.391858i | \(0.871832\pi\) | |||||||
\(488\) | 3.00791 | + | 7.26173i | 0.136162 | + | 0.328723i | ||||
\(489\) | − | 5.70093i | − | 0.257805i | ||||||
\(490\) | 35.7884 | − | 14.8240i | 1.61675 | − | 0.669681i | ||||
\(491\) | −15.4434 | − | 15.4434i | −0.696952 | − | 0.696952i | 0.266800 | − | 0.963752i | \(-0.414034\pi\) |
−0.963752 | + | 0.266800i | \(0.914034\pi\) | |||||||
\(492\) | −4.76859 | −0.214985 | ||||||||
\(493\) | 31.7942 | − | 14.9015i | 1.43194 | − | 0.671128i | ||||
\(494\) | 1.08317 | 0.0487343 | ||||||||
\(495\) | 2.89006 | + | 2.89006i | 0.129898 | + | 0.129898i | ||||
\(496\) | −3.46339 | + | 1.43458i | −0.155511 | + | 0.0644147i | ||||
\(497\) | 14.4433i | 0.647870i | ||||||||
\(498\) | 14.2633 | + | 34.4347i | 0.639154 | + | 1.54305i | ||||
\(499\) | −10.1410 | − | 4.20053i | −0.453972 | − | 0.188041i | 0.143968 | − | 0.989582i | \(-0.454014\pi\) |
−0.597940 | + | 0.801541i | \(0.704014\pi\) | |||||||
\(500\) | −4.49177 | + | 10.8441i | −0.200878 | + | 0.484963i | ||||
\(501\) | −0.941543 | + | 0.941543i | −0.0420650 | + | 0.0420650i | ||||
\(502\) | −2.73258 | + | 2.73258i | −0.121961 | + | 0.121961i | ||||
\(503\) | −13.9296 | + | 33.6290i | −0.621089 | + | 1.49944i | 0.229338 | + | 0.973347i | \(0.426344\pi\) |
−0.850426 | + | 0.526094i | \(0.823656\pi\) | |||||||
\(504\) | 1.58015 | + | 0.654520i | 0.0703855 | + | 0.0291546i | ||||
\(505\) | −12.4927 | − | 30.1599i | −0.555916 | − | 1.34210i | ||||
\(506\) | − | 0.394705i | − | 0.0175468i | ||||||
\(507\) | −17.4975 | + | 7.24769i | −0.777090 | + | 0.321881i | ||||
\(508\) | 23.7522 | + | 23.7522i | 1.05383 | + | 1.05383i | ||||
\(509\) | −35.2361 | −1.56181 | −0.780906 | − | 0.624649i | \(-0.785242\pi\) | ||||
−0.780906 | + | 0.624649i | \(0.785242\pi\) | |||||||
\(510\) | −42.3116 | + | 1.93005i | −1.87359 | + | 0.0854642i | ||||
\(511\) | 45.7914 | 2.02569 | ||||||||
\(512\) | −18.0378 | − | 18.0378i | −0.797165 | − | 0.797165i | ||||
\(513\) | 3.13599 | − | 1.29897i | 0.138457 | − | 0.0573509i | ||||
\(514\) | 55.4072i | 2.44391i | ||||||||
\(515\) | −18.5644 | − | 44.8185i | −0.818046 | − | 1.97494i | ||||
\(516\) | 2.23076 | + | 0.924013i | 0.0982039 | + | 0.0406774i | ||||
\(517\) | 8.57953 | − | 20.7128i | 0.377327 | − | 0.910949i | ||||
\(518\) | −28.3647 | + | 28.3647i | −1.24627 | + | 1.24627i | ||||
\(519\) | −8.72703 | + | 8.72703i | −0.383074 | + | 0.383074i | ||||
\(520\) | −1.07977 | + | 2.60680i | −0.0473512 | + | 0.114316i | ||||
\(521\) | 17.4488 | + | 7.22753i | 0.764446 | + | 0.316644i | 0.730621 | − | 0.682784i | \(-0.239231\pi\) |
0.0338257 | + | 0.999428i | \(0.489231\pi\) | |||||||
\(522\) | 3.40527 | + | 8.22105i | 0.149045 | + | 0.359826i | ||||
\(523\) | − | 36.1048i | − | 1.57875i | −0.613909 | − | 0.789376i | \(-0.710404\pi\) | ||
0.613909 | − | 0.789376i | \(-0.289596\pi\) | |||||||
\(524\) | −23.5283 | + | 9.74573i | −1.02784 | + | 0.425744i | ||||
\(525\) | 28.5014 | + | 28.5014i | 1.24391 | + | 1.24391i | ||||
\(526\) | −44.8354 | −1.95491 | ||||||||
\(527\) | 1.39449 | + | 2.97534i | 0.0607451 | + | 0.129608i | ||||
\(528\) | −15.5208 | −0.675455 | ||||||||
\(529\) | −16.2565 | − | 16.2565i | −0.706803 | − | 0.706803i | ||||
\(530\) | 41.5577 | − | 17.2138i | 1.80515 | − | 0.747719i | ||||
\(531\) | 4.66654i | 0.202510i | ||||||||
\(532\) | −1.29584 | − | 3.12844i | −0.0561819 | − | 0.135635i | ||||
\(533\) | 1.71920 | + | 0.712118i | 0.0744670 | + | 0.0308453i | ||||
\(534\) | 1.85091 | − | 4.46849i | 0.0800966 | − | 0.193370i | ||||
\(535\) | −28.0601 | + | 28.0601i | −1.21314 | + | 1.21314i | ||||
\(536\) | −1.39334 | + | 1.39334i | −0.0601829 | + | 0.0601829i | ||||
\(537\) | −6.69223 | + | 16.1565i | −0.288791 | + | 0.697204i | ||||
\(538\) | 8.08937 | + | 3.35073i | 0.348757 | + | 0.144460i | ||||
\(539\) | −4.76145 | − | 11.4951i | −0.205090 | − | 0.495131i | ||||
\(540\) | − | 29.9551i | − | 1.28906i | ||||||
\(541\) | −37.1764 | + | 15.3990i | −1.59834 | + | 0.662053i | −0.991179 | − | 0.132528i | \(-0.957691\pi\) |
−0.607158 | + | 0.794581i | \(0.707691\pi\) | |||||||
\(542\) | −22.6754 | − | 22.6754i | −0.973990 | − | 0.973990i | ||||
\(543\) | −8.32867 | −0.357417 | ||||||||
\(544\) | −19.8443 | + | 21.7412i | −0.850817 | + | 0.932147i | ||||
\(545\) | 34.6986 | 1.48632 | ||||||||
\(546\) | −7.04326 | − | 7.04326i | −0.301424 | − | 0.301424i | ||||
\(547\) | 8.65027 | − | 3.58306i | 0.369859 | − | 0.153200i | −0.190009 | − | 0.981782i | \(-0.560852\pi\) |
0.559868 | + | 0.828582i | \(0.310852\pi\) | |||||||
\(548\) | − | 13.7204i | − | 0.586106i | ||||||
\(549\) | 1.94550 | + | 4.69686i | 0.0830320 | + | 0.200457i | ||||
\(550\) | 26.3456 | + | 10.9127i | 1.12338 | + | 0.465319i | ||||
\(551\) | −1.99005 | + | 4.80440i | −0.0847788 | + | 0.204674i | ||||
\(552\) | 0.0942663 | − | 0.0942663i | 0.00401224 | − | 0.00401224i | ||||
\(553\) | −23.5988 | + | 23.5988i | −1.00352 | + | 1.00352i | ||||
\(554\) | 7.86517 | − | 18.9882i | 0.334159 | − | 0.806731i | ||||
\(555\) | −29.9120 | − | 12.3900i | −1.26970 | − | 0.525925i | ||||
\(556\) | 2.30427 | + | 5.56299i | 0.0977227 | + | 0.235923i | ||||
\(557\) | − | 15.0289i | − | 0.636795i | −0.947957 | − | 0.318398i | \(-0.896855\pi\) | ||
0.947957 | − | 0.318398i | \(-0.103145\pi\) | |||||||
\(558\) | −0.769335 | + | 0.318669i | −0.0325685 | + | 0.0134903i | ||||
\(559\) | −0.666263 | − | 0.666263i | −0.0281799 | − | 0.0281799i | ||||
\(560\) | 58.9490 | 2.49105 | ||||||||
\(561\) | 0.619929 | + | 13.5904i | 0.0261734 | + | 0.573787i | ||||
\(562\) | −55.8317 | −2.35512 | ||||||||
\(563\) | −3.15480 | − | 3.15480i | −0.132959 | − | 0.132959i | 0.637495 | − | 0.770454i | \(-0.279971\pi\) |
−0.770454 | + | 0.637495i | \(0.779971\pi\) | |||||||
\(564\) | −23.7004 | + | 9.81703i | −0.997967 | + | 0.413372i | ||||
\(565\) | − | 39.3051i | − | 1.65358i | ||||||
\(566\) | 8.22655 | + | 19.8607i | 0.345788 | + | 0.834806i | ||||
\(567\) | −23.3137 | − | 9.65684i | −0.979082 | − | 0.405549i | ||||
\(568\) | −1.32073 | + | 3.18854i | −0.0554168 | + | 0.133788i | ||||
\(569\) | 5.75027 | − | 5.75027i | 0.241064 | − | 0.241064i | −0.576226 | − | 0.817290i | \(-0.695475\pi\) |
0.817290 | + | 0.576226i | \(0.195475\pi\) | |||||||
\(570\) | 4.43559 | − | 4.43559i | 0.185786 | − | 0.185786i | ||||
\(571\) | −6.82209 | + | 16.4700i | −0.285496 | + | 0.689248i | −0.999946 | − | 0.0104391i | \(-0.996677\pi\) |
0.714450 | + | 0.699687i | \(0.246677\pi\) | |||||||
\(572\) | −2.83660 | − | 1.17496i | −0.118604 | − | 0.0491275i | ||||
\(573\) | −11.3812 | − | 27.4765i | −0.475455 | − | 1.14785i | ||||
\(574\) | − | 13.3519i | − | 0.557297i | ||||||
\(575\) | −0.658900 | + | 0.272925i | −0.0274780 | + | 0.0113818i | ||||
\(576\) | −1.58267 | − | 1.58267i | −0.0659445 | − | 0.0659445i | ||||
\(577\) | 5.68109 | 0.236507 | 0.118253 | − | 0.992983i | \(-0.462270\pi\) | ||||
0.118253 | + | 0.992983i | \(0.462270\pi\) | |||||||
\(578\) | 24.5967 | + | 20.4761i | 1.02309 | + | 0.851695i | ||||
\(579\) | −31.2050 | −1.29683 | ||||||||
\(580\) | 32.4504 | + | 32.4504i | 1.34743 | + | 1.34743i | ||||
\(581\) | −42.0080 | + | 17.4003i | −1.74279 | + | 0.721885i | ||||
\(582\) | 40.0290i | 1.65926i | ||||||||
\(583\) | −5.52903 | − | 13.3483i | −0.228989 | − | 0.552828i | ||||
\(584\) | 10.1090 | + | 4.18729i | 0.418314 | + | 0.173271i | ||||
\(585\) | −0.698393 | + | 1.68607i | −0.0288750 | + | 0.0697104i | ||||
\(586\) | 35.0091 | − | 35.0091i | 1.44621 | − | 1.44621i | ||||
\(587\) | 18.7142 | − | 18.7142i | 0.772417 | − | 0.772417i | −0.206111 | − | 0.978529i | \(-0.566081\pi\) |
0.978529 | + | 0.206111i | \(0.0660809\pi\) | |||||||
\(588\) | −5.44823 | + | 13.1532i | −0.224681 | + | 0.542429i | ||||
\(589\) | −0.449601 | − | 0.186231i | −0.0185255 | − | 0.00767350i | ||||
\(590\) | 21.1385 | + | 51.0328i | 0.870258 | + | 2.10099i | ||||
\(591\) | − | 9.27131i | − | 0.381371i | ||||||
\(592\) | −25.7853 | + | 10.6806i | −1.05977 | + | 0.438971i | ||||
\(593\) | −18.0480 | − | 18.0480i | −0.741143 | − | 0.741143i | 0.231655 | − | 0.972798i | \(-0.425586\pi\) |
−0.972798 | + | 0.231655i | \(0.925586\pi\) | |||||||
\(594\) | −22.0831 | −0.906081 | ||||||||
\(595\) | −2.35454 | − | 51.6174i | −0.0965265 | − | 2.11611i | ||||
\(596\) | 18.4993 | 0.757761 | ||||||||
\(597\) | 18.1837 | + | 18.1837i | 0.744209 | + | 0.744209i | ||||
\(598\) | 0.162827 | − | 0.0674452i | 0.00665849 | − | 0.00275804i | ||||
\(599\) | 2.35303i | 0.0961423i | 0.998844 | + | 0.0480711i | \(0.0153074\pi\) | ||||
−0.998844 | + | 0.0480711i | \(0.984693\pi\) | |||||||
\(600\) | 3.68580 | + | 8.89830i | 0.150472 | + | 0.363272i | ||||
\(601\) | 8.85566 | + | 3.66813i | 0.361230 | + | 0.149626i | 0.555914 | − | 0.831240i | \(-0.312368\pi\) |
−0.194684 | + | 0.980866i | \(0.562368\pi\) | |||||||
\(602\) | −2.58720 | + | 6.24606i | −0.105446 | + | 0.254570i | ||||
\(603\) | −0.901204 | + | 0.901204i | −0.0366999 | + | 0.0366999i | ||||
\(604\) | 18.1556 | − | 18.1556i | 0.738742 | − | 0.738742i | ||||
\(605\) | −8.74337 | + | 21.1084i | −0.355468 | + | 0.858177i | ||||
\(606\) | 25.4411 | + | 10.5380i | 1.03347 | + | 0.428079i | ||||
\(607\) | −8.61267 | − | 20.7928i | −0.349577 | − | 0.843954i | −0.996670 | − | 0.0815428i | \(-0.974015\pi\) |
0.647093 | − | 0.762411i | \(-0.275985\pi\) | |||||||
\(608\) | − | 4.35947i | − | 0.176800i | ||||||
\(609\) | 44.1803 | − | 18.3001i | 1.79028 | − | 0.741557i | ||||
\(610\) | 42.5517 | + | 42.5517i | 1.72287 | + | 1.72287i | ||||
\(611\) | 10.0107 | 0.404988 | ||||||||
\(612\) | −2.38227 | + | 2.61000i | −0.0962977 | + | 0.105503i | ||||
\(613\) | 35.0448 | 1.41545 | 0.707724 | − | 0.706489i | \(-0.249722\pi\) | ||||
0.707724 | + | 0.706489i | \(0.249722\pi\) | |||||||
\(614\) | 25.0135 | + | 25.0135i | 1.00946 | + | 1.00946i | ||||
\(615\) | 9.95624 | − | 4.12401i | 0.401474 | − | 0.166296i | ||||
\(616\) | − | 6.50273i | − | 0.262003i | ||||||
\(617\) | 7.64042 | + | 18.4456i | 0.307592 | + | 0.742592i | 0.999782 | + | 0.0208771i | \(0.00664587\pi\) |
−0.692190 | + | 0.721715i | \(0.743354\pi\) | |||||||
\(618\) | 37.8062 | + | 15.6598i | 1.52079 | + | 0.629931i | ||||
\(619\) | −15.0931 | + | 36.4381i | −0.606645 | + | 1.46457i | 0.259982 | + | 0.965613i | \(0.416283\pi\) |
−0.866627 | + | 0.498957i | \(0.833717\pi\) | |||||||
\(620\) | −3.03675 | + | 3.03675i | −0.121959 | + | 0.121959i | ||||
\(621\) | 0.390532 | − | 0.390532i | 0.0156715 | − | 0.0156715i | ||||
\(622\) | −12.2933 | + | 29.6786i | −0.492915 | + | 1.19000i | ||||
\(623\) | 5.45126 | + | 2.25798i | 0.218400 | + | 0.0904642i | ||||
\(624\) | −2.65211 | − | 6.40277i | −0.106169 | − | 0.256316i | ||||
\(625\) | 9.36496i | 0.374598i | ||||||||
\(626\) | 11.4902 | − | 4.75938i | 0.459239 | − | 0.190223i | ||||
\(627\) | −1.42470 | − | 1.42470i | −0.0568971 | − | 0.0568971i | ||||
\(628\) | −5.83389 | −0.232797 | ||||||||
\(629\) | 10.3821 | + | 22.1517i | 0.413963 | + | 0.883245i | ||||
\(630\) | 13.0945 | 0.521699 | ||||||||
\(631\) | 1.60411 | + | 1.60411i | 0.0638587 | + | 0.0638587i | 0.738315 | − | 0.674456i | \(-0.235622\pi\) |
−0.674456 | + | 0.738315i | \(0.735622\pi\) | |||||||
\(632\) | −7.36767 | + | 3.05179i | −0.293070 | + | 0.121394i | ||||
\(633\) | − | 16.1089i | − | 0.640270i | ||||||
\(634\) | 16.5465 | + | 39.9468i | 0.657145 | + | 1.58649i | ||||
\(635\) | −70.1332 | − | 29.0501i | −2.78315 | − | 1.15282i | ||||
\(636\) | −6.32653 | + | 15.2736i | −0.250863 | + | 0.605637i | ||||
\(637\) | 3.92847 | − | 3.92847i | 0.155652 | − | 0.155652i | ||||
\(638\) | 23.9227 | − | 23.9227i | 0.947107 | − | 0.947107i | ||||
\(639\) | −0.854246 | + | 2.06233i | −0.0337934 | + | 0.0815846i | ||||
\(640\) | 21.5581 | + | 8.92965i | 0.852158 | + | 0.352975i | ||||
\(641\) | −4.96949 | − | 11.9974i | −0.196283 | − | 0.473870i | 0.794840 | − | 0.606820i | \(-0.207555\pi\) |
−0.991123 | + | 0.132950i | \(0.957555\pi\) | |||||||
\(642\) | − | 33.4742i | − | 1.32112i | ||||||
\(643\) | −10.0699 | + | 4.17107i | −0.397117 | + | 0.164491i | −0.572299 | − | 0.820045i | \(-0.693948\pi\) |
0.175183 | + | 0.984536i | \(0.443948\pi\) | |||||||
\(644\) | −0.389592 | − | 0.389592i | −0.0153521 | − | 0.0153521i | ||||
\(645\) | −5.45668 | −0.214856 | ||||||||
\(646\) | −4.73490 | + | 0.215983i | −0.186292 | + | 0.00849776i | ||||
\(647\) | −4.91515 | −0.193234 | −0.0966172 | − | 0.995322i | \(-0.530802\pi\) | ||||
−0.0966172 | + | 0.995322i | \(0.530802\pi\) | |||||||
\(648\) | −4.26373 | − | 4.26373i | −0.167495 | − | 0.167495i | ||||
\(649\) | 16.3916 | − | 6.78964i | 0.643428 | − | 0.266517i | ||||
\(650\) | 12.7330i | 0.499430i | ||||||||
\(651\) | 1.71254 | + | 4.13445i | 0.0671199 | + | 0.162042i | ||||
\(652\) | −5.20145 | − | 2.15451i | −0.203704 | − | 0.0843771i | ||||
\(653\) | 4.17135 | − | 10.0705i | 0.163238 | − | 0.394091i | −0.821003 | − | 0.570924i | \(-0.806585\pi\) |
0.984241 | + | 0.176833i | \(0.0565852\pi\) | |||||||
\(654\) | −20.6968 | + | 20.6968i | −0.809307 | + | 0.809307i | ||||
\(655\) | 40.6958 | − | 40.6958i | 1.59012 | − | 1.59012i | ||||
\(656\) | 3.55505 | − | 8.58264i | 0.138801 | − | 0.335096i | ||||
\(657\) | 6.53848 | + | 2.70833i | 0.255090 | + | 0.105662i | ||||
\(658\) | −27.4873 | − | 66.3603i | −1.07157 | − | 2.58699i | ||||
\(659\) | − | 36.4972i | − | 1.42173i | −0.703328 | − | 0.710865i | \(-0.748303\pi\) | ||
0.703328 | − | 0.710865i | \(-0.251697\pi\) | |||||||
\(660\) | −16.4273 | + | 6.80441i | −0.639432 | + | 0.264861i | ||||
\(661\) | 11.0355 | + | 11.0355i | 0.429232 | + | 0.429232i | 0.888367 | − | 0.459135i | \(-0.151841\pi\) |
−0.459135 | + | 0.888367i | \(0.651841\pi\) | |||||||
\(662\) | −11.4868 | −0.446446 | ||||||||
\(663\) | −5.50050 | + | 2.57800i | −0.213622 | + | 0.100121i | ||||
\(664\) | −10.8649 | −0.421641 | ||||||||
\(665\) | 5.41112 | + | 5.41112i | 0.209834 | + | 0.209834i | ||||
\(666\) | −5.72777 | + | 2.37252i | −0.221947 | + | 0.0919333i | ||||
\(667\) | 0.846128i | 0.0327622i | ||||||||
\(668\) | 0.503220 | + | 1.21488i | 0.0194702 | + | 0.0470051i | ||||
\(669\) | −21.5384 | − | 8.92148i | −0.832721 | − | 0.344924i | ||||
\(670\) | −5.77321 | + | 13.9378i | −0.223039 | + | 0.538463i | ||||
\(671\) | 13.6675 | − | 13.6675i | 0.527629 | − | 0.527629i | ||||
\(672\) | −28.3471 | + | 28.3471i | −1.09351 | + | 1.09351i | ||||
\(673\) | 16.3489 | − | 39.4696i | 0.630202 | − | 1.52144i | −0.209166 | − | 0.977880i | \(-0.567075\pi\) |
0.839368 | − | 0.543563i | \(-0.182925\pi\) | |||||||
\(674\) | −0.765600 | − | 0.317122i | −0.0294898 | − | 0.0122151i | ||||
\(675\) | 15.2697 | + | 36.8644i | 0.587733 | + | 1.41891i | ||||
\(676\) | 18.7035i | 0.719366i | ||||||||
\(677\) | −0.430937 | + | 0.178500i | −0.0165622 | + | 0.00686030i | −0.390949 | − | 0.920412i | \(-0.627853\pi\) |
0.374387 | + | 0.927273i | \(0.377853\pi\) | |||||||
\(678\) | 23.4444 | + | 23.4444i | 0.900377 | + | 0.900377i | ||||
\(679\) | −48.8327 | −1.87403 | ||||||||
\(680\) | 4.20024 | − | 11.6105i | 0.161072 | − | 0.445242i | ||||
\(681\) | −1.56152 | −0.0598374 | ||||||||
\(682\) | 2.23871 | + | 2.23871i | 0.0857246 | + | 0.0857246i | ||||
\(683\) | 25.5826 | − | 10.5967i | 0.978891 | − | 0.405470i | 0.164876 | − | 0.986314i | \(-0.447278\pi\) |
0.814014 | + | 0.580845i | \(0.197278\pi\) | |||||||
\(684\) | − | 0.523347i | − | 0.0200107i | ||||||
\(685\) | 11.8658 | + | 28.6465i | 0.453368 | + | 1.09453i | ||||
\(686\) | 6.89395 | + | 2.85557i | 0.263212 | + | 0.109026i | ||||
\(687\) | 1.44364 | − | 3.48526i | 0.0550783 | − | 0.132971i | ||||
\(688\) | −3.32613 | + | 3.32613i | −0.126807 | + | 0.126807i | ||||
\(689\) | 4.56177 | − | 4.56177i | 0.173789 | − | 0.173789i | ||||
\(690\) | 0.390588 | − | 0.942962i | 0.0148694 | − | 0.0358979i | ||||
\(691\) | 29.3761 | + | 12.1680i | 1.11752 | + | 0.462892i | 0.863521 | − | 0.504313i | \(-0.168254\pi\) |
0.253998 | + | 0.967205i | \(0.418254\pi\) | |||||||
\(692\) | 4.66428 | + | 11.2606i | 0.177309 | + | 0.428062i | ||||
\(693\) | − | 4.20594i | − | 0.159770i | ||||||
\(694\) | −29.9781 | + | 12.4173i | −1.13795 | + | 0.471356i | ||||
\(695\) | −9.62205 | − | 9.62205i | −0.364985 | − | 0.364985i | ||||
\(696\) | 11.4268 | 0.433131 | ||||||||
\(697\) | −7.65719 | − | 2.77009i | −0.290037 | − | 0.104925i | ||||
\(698\) | −41.6539 | −1.57662 | ||||||||
\(699\) | −18.0884 | − | 18.0884i | −0.684164 | − | 0.684164i | ||||
\(700\) | 36.7757 | − | 15.2330i | 1.38999 | − | 0.575752i | ||||
\(701\) | 19.6395i | 0.741772i | 0.928678 | + | 0.370886i | \(0.120946\pi\) | ||||
−0.928678 | + | 0.370886i | \(0.879054\pi\) | |||||||
\(702\) | −3.77345 | − | 9.10991i | −0.142420 | − | 0.343831i | ||||
\(703\) | −3.34732 | − | 1.38651i | −0.126247 | − | 0.0522930i | ||||
\(704\) | −3.25655 | + | 7.86200i | −0.122736 | + | 0.296310i | ||||
\(705\) | 40.9935 | − | 40.9935i | 1.54391 | − | 1.54391i | ||||
\(706\) | −9.57948 | + | 9.57948i | −0.360528 | + | 0.360528i | ||||
\(707\) | −12.8557 | + | 31.0364i | −0.483489 | + | 1.16725i | ||||
\(708\) | −18.7560 | − | 7.76897i | −0.704892 | − | 0.291976i | ||||
\(709\) | 8.58452 | + | 20.7249i | 0.322398 | + | 0.778339i | 0.999114 | + | 0.0420937i | \(0.0134028\pi\) |
−0.676715 | + | 0.736245i | \(0.736597\pi\) | |||||||
\(710\) | 26.4231i | 0.991640i | ||||||||
\(711\) | −4.76538 | + | 1.97388i | −0.178716 | + | 0.0740264i | ||||
\(712\) | 0.996956 | + | 0.996956i | 0.0373625 | + | 0.0373625i | ||||
\(713\) | −0.0791816 | −0.00296537 | ||||||||
\(714\) | 32.1928 | + | 29.3839i | 1.20478 | + | 1.09967i | ||||
\(715\) | 6.93862 | 0.259490 | ||||||||
\(716\) | 12.2118 | + | 12.2118i | 0.456376 | + | 0.456376i | ||||
\(717\) | −13.4214 | + | 5.55935i | −0.501233 | + | 0.207618i | ||||
\(718\) | 22.9033i | 0.854742i | ||||||||
\(719\) | 12.9975 | + | 31.3787i | 0.484724 | + | 1.17023i | 0.957342 | + | 0.288959i | \(0.0933091\pi\) |
−0.472618 | + | 0.881267i | \(0.656691\pi\) | |||||||
\(720\) | 8.41723 | + | 3.48653i | 0.313692 | + | 0.129935i | ||||
\(721\) | −19.1039 | + | 46.1210i | −0.711468 | + | 1.71764i | ||||
\(722\) | −24.7964 | + | 24.7964i | −0.922828 | + | 0.922828i | ||||
\(723\) | −20.5669 | + | 20.5669i | −0.764892 | + | 0.764892i | ||||
\(724\) | −3.14759 | + | 7.59896i | −0.116979 | + | 0.282413i | ||||
\(725\) | −56.4770 | − | 23.3935i | −2.09750 | − | 0.868814i | ||||
\(726\) | −7.37538 | − | 17.8057i | −0.273726 | − | 0.660833i | ||||
\(727\) | 5.73331i | 0.212637i | 0.994332 | + | 0.106318i | \(0.0339062\pi\) | ||||
−0.994332 | + | 0.106318i | \(0.966094\pi\) | |||||||
\(728\) | 2.68256 | − | 1.11115i | 0.0994224 | − | 0.0411821i | ||||
\(729\) | −21.1962 | − | 21.1962i | −0.785044 | − | 0.785044i | ||||
\(730\) | 83.7724 | 3.10056 | ||||||||
\(731\) | 3.04530 | + | 2.77960i | 0.112634 | + | 0.102807i | ||||
\(732\) | −22.1168 | −0.817459 | ||||||||
\(733\) | 21.7170 | + | 21.7170i | 0.802137 | + | 0.802137i | 0.983429 | − | 0.181292i | \(-0.0580280\pi\) |
−0.181292 | + | 0.983429i | \(0.558028\pi\) | |||||||
\(734\) | 29.8710 | − | 12.3730i | 1.10256 | − | 0.456694i | ||||
\(735\) | − | 32.1740i | − | 1.18676i | ||||||
\(736\) | −0.271448 | − | 0.655332i | −0.0100057 | − | 0.0241559i | ||||
\(737\) | 4.47678 | + | 1.85434i | 0.164904 | + | 0.0683056i | ||||
\(738\) | 0.789695 | − | 1.90649i | 0.0290691 | − | 0.0701789i | ||||
\(739\) | 19.2768 | − | 19.2768i | 0.709108 | − | 0.709108i | −0.257239 | − | 0.966348i | \(-0.582813\pi\) |
0.966348 | + | 0.257239i | \(0.0828129\pi\) | |||||||
\(740\) | −22.6089 | + | 22.6089i | −0.831119 | + | 0.831119i | ||||
\(741\) | 0.344284 | − | 0.831176i | 0.0126476 | − | 0.0305340i | ||||
\(742\) | −42.7655 | − | 17.7140i | −1.56997 | − | 0.650303i | ||||
\(743\) | 5.42753 | + | 13.1032i | 0.199117 | + | 0.480710i | 0.991625 | − | 0.129151i | \(-0.0412252\pi\) |
−0.792508 | + | 0.609861i | \(0.791225\pi\) | |||||||
\(744\) | 1.06933i | 0.0392035i | ||||||||
\(745\) | −38.6243 | + | 15.9987i | −1.41509 | + | 0.586147i | ||||
\(746\) | 3.35432 | + | 3.35432i | 0.122810 | + | 0.122810i | ||||
\(747\) | −7.02739 | −0.257119 | ||||||||
\(748\) | 12.6340 | + | 4.57051i | 0.461944 | + | 0.167114i | ||||
\(749\) | 40.8362 | 1.49212 | ||||||||
\(750\) | 15.8219 | + | 15.8219i | 0.577734 | + | 0.577734i | ||||
\(751\) | −6.90878 | + | 2.86171i | −0.252105 | + | 0.104425i | −0.505157 | − | 0.863027i | \(-0.668566\pi\) |
0.253052 | + | 0.967453i | \(0.418566\pi\) | |||||||
\(752\) | − | 49.9754i | − | 1.82241i | ||||||
\(753\) | 1.22831 | + | 2.96539i | 0.0447620 | + | 0.108065i | ||||
\(754\) | 13.9566 | + | 5.78100i | 0.508268 | + | 0.210532i | ||||
\(755\) | −22.2052 | + | 53.6082i | −0.808131 | + | 1.95100i | ||||
\(756\) | −21.7970 | + | 21.7970i | −0.792751 | + | 0.792751i | ||||
\(757\) | 9.91141 | − | 9.91141i | 0.360236 | − | 0.360236i | −0.503664 | − | 0.863900i | \(-0.668015\pi\) |
0.863900 | + | 0.503664i | \(0.168015\pi\) | |||||||
\(758\) | 10.5312 | − | 25.4245i | 0.382509 | − | 0.923459i | ||||
\(759\) | −0.302877 | − | 0.125456i | −0.0109938 | − | 0.00455376i | ||||
\(760\) | 0.699764 | + | 1.68938i | 0.0253831 | + | 0.0612802i | ||||
\(761\) | 18.0087i | 0.652814i | 0.945229 | + | 0.326407i | \(0.105838\pi\) | ||||
−0.945229 | + | 0.326407i | \(0.894162\pi\) | |||||||
\(762\) | 59.1601 | − | 24.5049i | 2.14315 | − | 0.887720i | ||||
\(763\) | −25.2486 | − | 25.2486i | −0.914062 | − | 0.914062i | ||||
\(764\) | −29.3704 | −1.06258 | ||||||||
\(765\) | 2.71670 | − | 7.50961i | 0.0982225 | − | 0.271511i | ||||
\(766\) | 29.1026 | 1.05152 | ||||||||
\(767\) | 5.60184 | + | 5.60184i | 0.202271 | + | 0.202271i | ||||
\(768\) | −29.8365 | + | 12.3587i | −1.07663 | + | 0.445956i | ||||
\(769\) | − | 40.4511i | − | 1.45870i | −0.684139 | − | 0.729352i | \(-0.739822\pi\) | ||
0.684139 | − | 0.729352i | \(-0.260178\pi\) | |||||||
\(770\) | −19.0521 | − | 45.9958i | −0.686590 | − | 1.65757i | ||||
\(771\) | 42.5168 | + | 17.6110i | 1.53121 | + | 0.634246i | ||||
\(772\) | −11.7931 | + | 28.4710i | −0.424442 | + | 1.02469i | ||||
\(773\) | −26.4032 | + | 26.4032i | −0.949658 | + | 0.949658i | −0.998792 | − | 0.0491343i | \(-0.984354\pi\) |
0.0491343 | + | 0.998792i | \(0.484354\pi\) | |||||||
\(774\) | −0.738844 | + | 0.738844i | −0.0265572 | + | 0.0265572i | ||||
\(775\) | 2.18919 | − | 5.28518i | 0.0786381 | − | 0.189849i | ||||
\(776\) | −10.7804 | − | 4.46540i | −0.386995 | − | 0.160299i | ||||
\(777\) | 12.7500 | + | 30.7813i | 0.457405 | + | 1.10427i | ||||
\(778\) | 66.6973i | 2.39122i | ||||||||
\(779\) | 1.11416 | − | 0.461499i | 0.0399188 | − | 0.0165349i | ||||
\(780\) | −5.61403 | − | 5.61403i | −0.201014 | − | 0.201014i | ||||
\(781\) | 8.48703 | 0.303690 | ||||||||
\(782\) | −0.698321 | + | 0.327292i | −0.0249719 | + | 0.0117039i | ||||
\(783\) | 47.3395 | 1.69178 | ||||||||
\(784\) | −19.6118 | − | 19.6118i | −0.700420 | − | 0.700420i | ||||
\(785\) | 12.1804 | − | 5.04531i | 0.434739 | − | 0.180075i | ||||
\(786\) | 48.5479i | 1.73164i | ||||||||
\(787\) | 17.9565 | + | 43.3509i | 0.640082 | + | 1.54529i | 0.826568 | + | 0.562836i | \(0.190290\pi\) |
−0.186487 | + | 0.982458i | \(0.559710\pi\) | |||||||
\(788\) | −8.45902 | − | 3.50384i | −0.301340 | − | 0.124819i | ||||
\(789\) | −14.2508 | + | 34.4045i | −0.507342 | + | 1.22483i | ||||
\(790\) | −43.1725 | + | 43.1725i | −1.53601 | + | 1.53601i | ||||
\(791\) | −28.6006 | + | 28.6006i | −1.01692 | + | 1.01692i | ||||
\(792\) | 0.384603 | − | 0.928514i | 0.0136663 | − | 0.0329933i | ||||
\(793\) | 7.97368 | + | 3.30281i | 0.283154 | + | 0.117286i | ||||
\(794\) | 3.86008 | + | 9.31906i | 0.136989 | + | 0.330721i | ||||
\(795\) | − | 37.3608i | − | 1.32505i | ||||||
\(796\) | 23.4626 | − | 9.71852i | 0.831609 | − | 0.344464i | ||||
\(797\) | −31.5716 | − | 31.5716i | −1.11832 | − | 1.11832i | −0.991988 | − | 0.126335i | \(-0.959678\pi\) |
−0.126335 | − | 0.991988i | \(-0.540322\pi\) | |||||||
\(798\) | −6.45517 | −0.228511 | ||||||||
\(799\) | −43.7598 | + | 1.99611i | −1.54811 | + | 0.0706173i | ||||
\(800\) | 51.2467 | 1.81185 | ||||||||
\(801\) | 0.644827 | + | 0.644827i | 0.0227839 | + | 0.0227839i | ||||
\(802\) | −24.7543 | + | 10.2536i | −0.874106 | + | 0.362067i | ||||
\(803\) | − | 26.9075i | − | 0.949546i | ||||||
\(804\) | −2.12181 | − | 5.12251i | −0.0748306 | − | 0.180657i | ||||
\(805\) | 1.15035 | + | 0.476491i | 0.0405445 | + | 0.0167941i | ||||
\(806\) | −0.540992 | + | 1.30607i | −0.0190556 | + | 0.0460044i | ||||
\(807\) | 5.14237 | − | 5.14237i | 0.181020 | − | 0.181020i | ||||
\(808\) | −5.67612 | + | 5.67612i | −0.199685 | + | 0.199685i | ||||
\(809\) | −4.26793 | + | 10.3037i | −0.150053 | + | 0.362259i | −0.980976 | − | 0.194127i | \(-0.937813\pi\) |
0.830924 | + | 0.556386i | \(0.187813\pi\) | |||||||
\(810\) | −42.6508 | − | 17.6666i | −1.49860 | − | 0.620739i | ||||
\(811\) | −13.9502 | − | 33.6788i | −0.489858 | − | 1.18262i | −0.954791 | − | 0.297276i | \(-0.903922\pi\) |
0.464933 | − | 0.885346i | \(-0.346078\pi\) | |||||||
\(812\) | − | 47.2256i | − | 1.65729i | ||||||
\(813\) | −24.6073 | + | 10.1927i | −0.863015 | + | 0.357473i | ||||
\(814\) | 16.6674 | + | 16.6674i | 0.584192 | + | 0.584192i | ||||
\(815\) | 12.7233 | 0.445676 | ||||||||
\(816\) | 12.8699 | + | 27.4597i | 0.450538 | + | 0.961282i | ||||
\(817\) | −0.610632 | −0.0213633 | ||||||||
\(818\) | −33.0264 | − | 33.0264i | −1.15474 | − | 1.15474i | ||||
\(819\) | 1.73507 | − | 0.718690i | 0.0606283 | − | 0.0251131i | ||||
\(820\) | − | 10.6425i | − | 0.371652i | ||||||
\(821\) | −2.73800 | − | 6.61013i | −0.0955570 | − | 0.230695i | 0.868872 | − | 0.495037i | \(-0.164845\pi\) |
−0.964429 | + | 0.264342i | \(0.914845\pi\) | |||||||
\(822\) | −24.1645 | − | 10.0092i | −0.842832 | − | 0.349113i | ||||
\(823\) | 4.49472 | − | 10.8512i | 0.156676 | − | 0.378250i | −0.825977 | − | 0.563704i | \(-0.809376\pi\) |
0.982653 | + | 0.185454i | \(0.0593757\pi\) | |||||||
\(824\) | −8.43487 | + | 8.43487i | −0.293843 | + | 0.293843i | ||||
\(825\) | 16.7478 | − | 16.7478i | 0.583082 | − | 0.583082i | ||||
\(826\) | 21.7528 | − | 52.5160i | 0.756877 | − | 1.82726i | ||||
\(827\) | 16.5704 | + | 6.86368i | 0.576209 | + | 0.238674i | 0.651705 | − | 0.758473i | \(-0.274054\pi\) |
−0.0754961 | + | 0.997146i | \(0.524054\pi\) | |||||||
\(828\) | −0.0325868 | − | 0.0786715i | −0.00113247 | − | 0.00273402i | ||||
\(829\) | 21.3067i | 0.740013i | 0.929029 | + | 0.370007i | \(0.120645\pi\) | ||||
−0.929029 | + | 0.370007i | \(0.879355\pi\) | |||||||
\(830\) | −76.8509 | + | 31.8327i | −2.66753 | + | 1.10493i | ||||
\(831\) | −12.0707 | − | 12.0707i | −0.418728 | − | 0.418728i | ||||
\(832\) | −3.79976 | −0.131733 | ||||||||
\(833\) | −16.3893 | + | 17.9559i | −0.567854 | + | 0.622135i | ||||
\(834\) | 11.4786 | 0.397471 | ||||||||
\(835\) | −2.10132 | − | 2.10132i | −0.0727193 | − | 0.0727193i | ||||
\(836\) | −1.83830 | + | 0.761451i | −0.0635791 | + | 0.0263353i | ||||
\(837\) | 4.43008i | 0.153126i | ||||||||
\(838\) | −20.2915 | − | 48.9881i | −0.700959 | − | 1.69226i | ||||
\(839\) | 9.05423 | + | 3.75038i | 0.312587 | + | 0.129478i | 0.533461 | − | 0.845825i | \(-0.320891\pi\) |
−0.220874 | + | 0.975302i | \(0.570891\pi\) | |||||||
\(840\) | 6.43490 | − | 15.5352i | 0.222025 | − | 0.536016i | ||||
\(841\) | −30.7769 | + | 30.7769i | −1.06127 | + | 1.06127i | ||||
\(842\) | 47.3478 | − | 47.3478i | 1.63171 | − | 1.63171i | ||||
\(843\) | −17.7460 | + | 42.8425i | −0.611203 | + | 1.47558i | ||||
\(844\) | −14.6975 | − | 6.08790i | −0.505909 | − | 0.209554i | ||||
\(845\) | −16.1753 | − | 39.0507i | −0.556448 | − | 1.34338i | ||||
\(846\) | − | 11.1012i | − | 0.381667i | ||||||
\(847\) | 21.7218 | − | 8.99747i | 0.746370 | − | 0.309157i | ||||
\(848\) | −22.7733 | − | 22.7733i | −0.782039 | − | 0.782039i | ||||
\(849\) | 17.8549 | 0.612778 | ||||||||
\(850\) | −2.53894 | − | 55.6601i | −0.0870851 | − | 1.90913i | ||||
\(851\) | −0.589515 | −0.0202083 | ||||||||
\(852\) | −6.86685 | − | 6.86685i | −0.235254 | − | 0.235254i | ||||
\(853\) | −21.2816 | + | 8.81511i | −0.728667 | + | 0.301824i | −0.716004 | − | 0.698096i | \(-0.754031\pi\) |
−0.0126628 | + | 0.999920i | \(0.504031\pi\) | |||||||
\(854\) | − | 61.9261i | − | 2.11907i | ||||||
\(855\) | 0.452605 | + | 1.09268i | 0.0154788 | + | 0.0373690i | ||||
\(856\) | 9.01511 | + | 3.73418i | 0.308130 | + | 0.127632i | ||||
\(857\) | −9.02578 | + | 21.7902i | −0.308315 | + | 0.744338i | 0.691445 | + | 0.722429i | \(0.256974\pi\) |
−0.999760 | + | 0.0219087i | \(0.993026\pi\) | |||||||
\(858\) | −4.13870 | + | 4.13870i | −0.141293 | + | 0.141293i | ||||
\(859\) | 5.17219 | − | 5.17219i | 0.176473 | − | 0.176473i | −0.613344 | − | 0.789816i | \(-0.710176\pi\) |
0.789816 | + | 0.613344i | \(0.210176\pi\) | |||||||
\(860\) | −2.06220 | + | 4.97859i | −0.0703205 | + | 0.169769i | ||||
\(861\) | −10.2456 | − | 4.24386i | −0.349169 | − | 0.144630i | ||||
\(862\) | −17.6613 | − | 42.6381i | −0.601545 | − | 1.45226i | ||||
\(863\) | 50.0538i | 1.70385i | 0.523664 | + | 0.851925i | \(0.324565\pi\) | ||||
−0.523664 | + | 0.851925i | \(0.675435\pi\) | |||||||
\(864\) | −36.6648 | + | 15.1871i | −1.24736 | + | 0.516674i | ||||
\(865\) | −19.4769 | − | 19.4769i | −0.662234 | − | 0.662234i | ||||
\(866\) | −13.2561 | −0.450461 | ||||||||
\(867\) | 23.5304 | − | 12.3660i | 0.799134 | − | 0.419973i | ||||
\(868\) | 4.41942 | 0.150005 | ||||||||
\(869\) | 13.8669 | + | 13.8669i | 0.470402 | + | 0.470402i | ||||
\(870\) | 80.8251 | − | 33.4788i | 2.74023 | − | 1.13504i | ||||
\(871\) | 2.16366i | 0.0733129i | ||||||||
\(872\) | −3.26515 | − | 7.88276i | −0.110572 | − | 0.266944i | ||||
\(873\) | −6.97274 | − | 2.88820i | −0.235992 | − | 0.0977509i | ||||
\(874\) | 0.0437089 | − | 0.105523i | 0.00147848 | − | 0.00356935i | ||||
\(875\) | −19.3016 | + | 19.3016i | −0.652515 | + | 0.652515i | ||||
\(876\) | −21.7708 | + | 21.7708i | −0.735569 | + | 0.735569i | ||||
\(877\) | −11.4187 | + | 27.5672i | −0.385583 | + | 0.930880i | 0.605281 | + | 0.796012i | \(0.293061\pi\) |
−0.990864 | + | 0.134868i | \(0.956939\pi\) | |||||||
\(878\) | 36.4772 | + | 15.1093i | 1.23104 | + | 0.509915i | ||||
\(879\) | −15.7367 | − | 37.9919i | −0.530787 | − | 1.28143i | ||||
\(880\) | − | 34.6391i | − | 1.16768i | ||||||
\(881\) | −16.1780 | + | 6.70115i | −0.545051 | + | 0.225767i | −0.638181 | − | 0.769887i | \(-0.720313\pi\) |
0.0931301 | + | 0.995654i | \(0.470313\pi\) | |||||||
\(882\) | −4.35643 | − | 4.35643i | −0.146688 | − | 0.146688i | ||||
\(883\) | 40.9965 | 1.37964 | 0.689821 | − | 0.723980i | \(-0.257689\pi\) | ||||
0.689821 | + | 0.723980i | \(0.257689\pi\) | |||||||
\(884\) | 0.273366 | + | 5.99287i | 0.00919428 | + | 0.201562i | ||||
\(885\) | 45.8789 | 1.54220 | ||||||||
\(886\) | −36.6591 | − | 36.6591i | −1.23159 | − | 1.23159i | ||||
\(887\) | 20.1399 | − | 8.34223i | 0.676233 | − | 0.280105i | −0.0180183 | − | 0.999838i | \(-0.505736\pi\) |
0.694251 | + | 0.719733i | \(0.255736\pi\) | |||||||
\(888\) | 7.96126i | 0.267163i | ||||||||
\(889\) | 29.8944 | + | 72.1714i | 1.00263 | + | 2.42055i | ||||
\(890\) | 9.97272 | + | 4.13084i | 0.334286 | + | 0.138466i | ||||
\(891\) | −5.67446 | + | 13.6994i | −0.190102 | + | 0.458946i | ||||
\(892\) | −16.2797 | + | 16.2797i | −0.545084 | + | 0.545084i | ||||
\(893\) | 4.58740 | − | 4.58740i | 0.153511 | − | 0.153511i | ||||
\(894\) | 13.4955 | − | 32.5811i | 0.451359 | − | 1.08968i | ||||
\(895\) | −36.0578 | − | 14.9356i | −1.20528 | − | 0.499244i | ||||
\(896\) | −9.18916 | − | 22.1846i | −0.306988 | − | 0.741135i | ||||
\(897\) | − | 0.146383i | − | 0.00488758i | ||||||
\(898\) | −23.6626 | + | 9.80138i | −0.789632 | + | 0.327076i | ||||
\(899\) | −4.79912 | − | 4.79912i | −0.160060 | − | 0.160060i | ||||
\(900\) | 6.15209 | 0.205070 | ||||||||
\(901\) | −19.0313 | + | 20.8505i | −0.634025 | + | 0.694632i | ||||
\(902\) | −7.84571 | −0.261233 | ||||||||
\(903\) | 3.97059 | + | 3.97059i | 0.132133 | + | 0.132133i | ||||
\(904\) | −8.92926 | + | 3.69862i | −0.296983 | + | 0.123014i | ||||
\(905\) | − | 18.5878i | − | 0.617880i | ||||||
\(906\) | −18.7310 | − | 45.2206i | −0.622296 | − | 1.50236i | ||||
\(907\) | 51.1615 | + | 21.1918i | 1.69879 | + | 0.703662i | 0.999933 | − | 0.0115986i | \(-0.00369202\pi\) |
0.698858 | + | 0.715261i | \(0.253692\pi\) | |||||||
\(908\) | −0.590132 | + | 1.42470i | −0.0195842 | + | 0.0472805i | ||||
\(909\) | −3.67129 | + | 3.67129i | −0.121769 | + | 0.121769i | ||||
\(910\) | 15.7191 | − | 15.7191i | 0.521082 | − | 0.521082i | ||||
\(911\) | 20.1427 | − | 48.6289i | 0.667359 | − | 1.61115i | −0.118654 | − | 0.992936i | \(-0.537858\pi\) |
0.786012 | − | 0.618211i | \(-0.212142\pi\) | |||||||
\(912\) | −4.14941 | − | 1.71874i | −0.137401 | − | 0.0569132i | ||||
\(913\) | 10.2246 | + | 24.6844i | 0.338385 | + | 0.816933i | ||||
\(914\) | − | 54.3786i | − | 1.79868i | ||||||
\(915\) | 46.1771 | − | 19.1272i | 1.52657 | − | 0.632325i | ||||
\(916\) | −2.63432 | − | 2.63432i | −0.0870402 | − | 0.0870402i | ||||
\(917\) | −59.2251 | −1.95579 | ||||||||
\(918\) | 18.3115 | + | 39.0699i | 0.604368 | + | 1.28950i | ||||
\(919\) | 37.8039 | 1.24703 | 0.623517 | − | 0.781809i | \(-0.285703\pi\) | ||||
0.623517 | + | 0.781809i | \(0.285703\pi\) | |||||||
\(920\) | 0.210383 | + | 0.210383i | 0.00693611 | + | 0.00693611i | ||||
\(921\) | 27.1446 | − | 11.2437i | 0.894445 | − | 0.370491i | ||||
\(922\) | 56.6123i | 1.86443i | ||||||||
\(923\) | 1.45022 | + | 3.50114i | 0.0477346 | + | 0.115242i | ||||
\(924\) | 16.9047 | + | 7.00216i | 0.556124 | + | 0.230354i | ||||
\(925\) | 16.2988 | − | 39.3487i | 0.535900 | − | 1.29378i | ||||
\(926\) | 11.4485 | − | 11.4485i | 0.376221 | − | 0.376221i | ||||
\(927\) | −5.45564 | + | 5.45564i | −0.179187 | + | 0.179187i | ||||
\(928\) | 23.2669 | − | 56.1712i | 0.763772 | − | 1.84391i | ||||
\(929\) | −48.9072 | − | 20.2580i | −1.60459 | − | 0.664644i | −0.612536 | − | 0.790443i | \(-0.709851\pi\) |
−0.992056 | + | 0.125799i | \(0.959851\pi\) | |||||||
\(930\) | 3.13299 | + | 7.56370i | 0.102735 | + | 0.248023i | ||||
\(931\) | − | 3.60045i | − | 0.118000i | ||||||
\(932\) | −23.3396 | + | 9.66756i | −0.764513 | + | 0.316671i | ||||
\(933\) | 18.8665 | + | 18.8665i | 0.617662 | + | 0.617662i | ||||
\(934\) | −12.7013 | −0.415599 | ||||||||
\(935\) | −30.3309 | + | 1.38355i | −0.991927 | + | 0.0452469i | ||||
\(936\) | 0.448758 | 0.0146681 | ||||||||
\(937\) | 23.6605 | + | 23.6605i | 0.772954 | + | 0.772954i | 0.978622 | − | 0.205668i | \(-0.0659368\pi\) |
−0.205668 | + | 0.978622i | \(0.565937\pi\) | |||||||
\(938\) | 14.3428 | − | 5.94099i | 0.468310 | − | 0.193980i | ||||
\(939\) | − | 10.3298i | − | 0.337099i | ||||||
\(940\) | −21.9095 | − | 52.8943i | −0.714610 | − | 1.72522i | ||||
\(941\) | −35.0667 | − | 14.5251i | −1.14314 | − | 0.473505i | −0.270914 | − | 0.962604i | \(-0.587326\pi\) |
−0.872228 | + | 0.489099i | \(0.837326\pi\) | |||||||
\(942\) | −4.25592 | + | 10.2747i | −0.138665 | + | 0.334767i | ||||
\(943\) | 0.138749 | − | 0.138749i | 0.00451828 | − | 0.00451828i | ||||
\(944\) | 27.9656 | − | 27.9656i | 0.910203 | − | 0.910203i | ||||
\(945\) | 26.6589 | − | 64.3603i | 0.867214 | − | 2.09364i | ||||
\(946\) | 3.67025 | + | 1.52027i | 0.119330 | + | 0.0494282i | ||||
\(947\) | −17.1411 | − | 41.3824i | −0.557012 | − | 1.34475i | −0.912121 | − | 0.409922i | \(-0.865556\pi\) |
0.355108 | − | 0.934825i | \(-0.384444\pi\) | |||||||
\(948\) | − | 22.4394i | − | 0.728798i | ||||||
\(949\) | 11.1001 | − | 4.59782i | 0.360325 | − | 0.149252i | ||||
\(950\) | 5.83492 | + | 5.83492i | 0.189310 | + | 0.189310i | ||||
\(951\) | 35.9125 | 1.16454 | ||||||||
\(952\) | −11.5048 | + | 5.39211i | −0.372872 | + | 0.174759i | ||||
\(953\) | −38.2666 | −1.23958 | −0.619788 | − | 0.784770i | \(-0.712781\pi\) | ||||
−0.619788 | + | 0.784770i | \(0.712781\pi\) | |||||||
\(954\) | −5.05872 | − | 5.05872i | −0.163782 | − | 0.163782i | ||||
\(955\) | 61.3218 | − | 25.4003i | 1.98433 | − | 0.821935i | ||||
\(956\) | 14.3465i | 0.464000i | ||||||||
\(957\) | −10.7533 | − | 25.9608i | −0.347606 | − | 0.839195i | ||||
\(958\) | 27.5610 | + | 11.4161i | 0.890456 | + | 0.368839i | ||||
\(959\) | 12.2106 | − | 29.4790i | 0.394301 | − | 0.951927i | ||||
\(960\) | −15.5600 | + | 15.5600i | −0.502196 | + | 0.502196i | ||||
\(961\) | −21.4712 | + | 21.4712i | −0.692619 | + | 0.692619i | ||||
\(962\) | −4.02774 | + | 9.72382i | −0.129859 | + | 0.313509i | ||||
\(963\) | 5.83094 | + | 2.41525i | 0.187899 | + | 0.0778304i | ||||
\(964\) | 10.9923 | + | 26.5377i | 0.354037 | + | 0.854721i | ||||
\(965\) | − | 69.6429i | − | 2.24188i | ||||||
\(966\) | −0.970366 | + | 0.401939i | −0.0312210 | + | 0.0129322i | ||||
\(967\) | −8.30674 | − | 8.30674i | −0.267127 | − | 0.267127i | 0.560815 | − | 0.827941i | \(-0.310488\pi\) |
−0.827941 | + | 0.560815i | \(0.810488\pi\) | |||||||
\(968\) | 5.61811 | 0.180573 | ||||||||
\(969\) | −1.33924 | + | 3.70198i | −0.0430226 | + | 0.118925i | ||||
\(970\) | −89.3363 | −2.86842 | ||||||||
\(971\) | 26.5416 | + | 26.5416i | 0.851759 | + | 0.851759i | 0.990350 | − | 0.138591i | \(-0.0442572\pi\) |
−0.138591 | + | 0.990350i | \(0.544257\pi\) | |||||||
\(972\) | −8.11591 | + | 3.36172i | −0.260318 | + | 0.107827i | ||||
\(973\) | 14.0031i | 0.448919i | ||||||||
\(974\) | 22.2593 | + | 53.7388i | 0.713235 | + | 1.72190i | ||||
\(975\) | 9.77070 | + | 4.04716i | 0.312913 | + | 0.129613i | ||||
\(976\) | 16.4883 | − | 39.8064i | 0.527779 | − | 1.27417i | ||||
\(977\) | 8.53973 | − | 8.53973i | 0.273210 | − | 0.273210i | −0.557181 | − | 0.830391i | \(-0.688117\pi\) |
0.830391 | + | 0.557181i | \(0.188117\pi\) | |||||||
\(978\) | −7.58908 | + | 7.58908i | −0.242672 | + | 0.242672i | ||||
\(979\) | 1.32682 | − | 3.20322i | 0.0424052 | − | 0.102375i | ||||
\(980\) | −29.3551 | − | 12.1593i | −0.937716 | − | 0.388415i | ||||
\(981\) | −2.11188 | − | 5.09854i | −0.0674273 | − | 0.162784i | ||||
\(982\) | 41.1166i | 1.31208i | ||||||||
\(983\) | 33.0758 | − | 13.7004i | 1.05495 | − | 0.436976i | 0.213296 | − | 0.976988i | \(-0.431580\pi\) |
0.841657 | + | 0.540012i | \(0.181580\pi\) | |||||||
\(984\) | −1.87377 | − | 1.87377i | −0.0597336 | − | 0.0597336i | ||||
\(985\) | 20.6916 | 0.659289 | ||||||||
\(986\) | −62.1613 | − | 22.4877i | −1.97962 | − | 0.716153i | ||||
\(987\) | −59.6584 | −1.89895 | ||||||||
\(988\) | −0.628240 | − | 0.628240i | −0.0199870 | − | 0.0199870i | ||||
\(989\) | −0.0917926 | + | 0.0380217i | −0.00291883 | + | 0.00120902i | ||||
\(990\) | − | 7.69450i | − | 0.244547i | ||||||
\(991\) | 4.21877 | + | 10.1850i | 0.134014 | + | 0.323538i | 0.976613 | − | 0.215003i | \(-0.0689760\pi\) |
−0.842600 | + | 0.538540i | \(0.818976\pi\) | |||||||
\(992\) | 5.25656 | + | 2.17734i | 0.166896 | + | 0.0691306i | ||||
\(993\) | −3.65104 | + | 8.81439i | −0.115862 | + | 0.279716i | ||||
\(994\) | 19.2269 | − | 19.2269i | 0.609841 | − | 0.609841i | ||||
\(995\) | −40.5821 | + | 40.5821i | −1.28654 | + | 1.28654i | ||||
\(996\) | 11.6994 | − | 28.2448i | 0.370709 | − | 0.894971i | ||||
\(997\) | −0.187958 | − | 0.0778549i | −0.00595270 | − | 0.00246569i | 0.379705 | − | 0.925108i | \(-0.376025\pi\) |
−0.385658 | + | 0.922642i | \(0.626025\pi\) | |||||||
\(998\) | 7.90792 | + | 19.0914i | 0.250321 | + | 0.604328i | ||||
\(999\) | 32.9824i | 1.04352i |
(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 | 731.2.m.c.87.5 | ✓ | 128 | |
17.9 | even | 8 | inner | 731.2.m.c.689.5 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.m.c.87.5 | ✓ | 128 | 1.1 | even | 1 | trivial | |
731.2.m.c.689.5 | yes | 128 | 17.9 | even | 8 | inner |