Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,2,Mod(3,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.p (of order \(30\), degree \(8\), 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: | \(0.990144985064\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 124.79 |
Dual form | 124.2.p.a.11.1 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39926 | − | 0.205086i | −0.989429 | − | 0.145018i | ||||
\(3\) | 1.36017 | − | 1.51062i | 0.785295 | − | 0.872158i | −0.209099 | − | 0.977894i | \(-0.567053\pi\) |
0.994394 | + | 0.105736i | \(0.0337199\pi\) | |||||||
\(4\) | 1.91588 | + | 0.573940i | 0.957940 | + | 0.286970i | ||||
\(5\) | 0.360804 | − | 0.624930i | 0.161356 | − | 0.279477i | −0.773999 | − | 0.633187i | \(-0.781746\pi\) |
0.935355 | + | 0.353709i | \(0.115080\pi\) | |||||||
\(6\) | −2.21305 | + | 1.83481i | −0.903472 | + | 0.749057i | ||||
\(7\) | 0.886730 | + | 0.0931991i | 0.335152 | + | 0.0352259i | 0.270610 | − | 0.962689i | \(-0.412775\pi\) |
0.0645423 | + | 0.997915i | \(0.479441\pi\) | |||||||
\(8\) | −2.56311 | − | 1.19601i | −0.906198 | − | 0.422855i | ||||
\(9\) | −0.118331 | − | 1.12584i | −0.0394436 | − | 0.375281i | ||||
\(10\) | −0.633024 | + | 0.800447i | −0.200180 | + | 0.253123i | ||||
\(11\) | −1.42417 | + | 0.634079i | −0.429402 | + | 0.191182i | −0.610045 | − | 0.792367i | \(-0.708849\pi\) |
0.180643 | + | 0.983549i | \(0.442182\pi\) | |||||||
\(12\) | 3.47293 | − | 2.11351i | 1.00255 | − | 0.610119i | ||||
\(13\) | 0.856313 | − | 4.02863i | 0.237498 | − | 1.11734i | −0.684158 | − | 0.729334i | \(-0.739830\pi\) |
0.921656 | − | 0.388008i | \(-0.126837\pi\) | |||||||
\(14\) | −1.22166 | − | 0.312266i | −0.326501 | − | 0.0834566i | ||||
\(15\) | −0.453279 | − | 1.39505i | −0.117036 | − | 0.360200i | ||||
\(16\) | 3.34119 | + | 2.19920i | 0.835297 | + | 0.549799i | ||||
\(17\) | 0.814056 | − | 1.82840i | 0.197438 | − | 0.443452i | −0.787511 | − | 0.616301i | \(-0.788630\pi\) |
0.984948 | + | 0.172849i | \(0.0552972\pi\) | |||||||
\(18\) | −0.0653187 | + | 1.59962i | −0.0153958 | + | 0.377034i | ||||
\(19\) | 0.301308 | + | 1.41754i | 0.0691248 | + | 0.325207i | 0.999100 | − | 0.0424154i | \(-0.0135053\pi\) |
−0.929975 | + | 0.367622i | \(0.880172\pi\) | |||||||
\(20\) | 1.04993 | − | 0.990212i | 0.234771 | − | 0.221418i | ||||
\(21\) | 1.34689 | − | 1.21275i | 0.293916 | − | 0.264643i | ||||
\(22\) | 2.12282 | − | 0.595168i | 0.452588 | − | 0.126890i | ||||
\(23\) | −4.76944 | + | 3.46520i | −0.994497 | + | 0.722544i | −0.960901 | − | 0.276891i | \(-0.910696\pi\) |
−0.0335956 | + | 0.999436i | \(0.510696\pi\) | |||||||
\(24\) | −5.29300 | + | 2.24511i | −1.08043 | + | 0.458282i | ||||
\(25\) | 2.23964 | + | 3.87917i | 0.447928 | + | 0.775835i | ||||
\(26\) | −2.02442 | + | 5.46150i | −0.397022 | + | 1.07109i | ||||
\(27\) | 3.07190 | + | 2.23186i | 0.591187 | + | 0.429523i | ||||
\(28\) | 1.64538 | + | 0.687488i | 0.310947 | + | 0.129923i | ||||
\(29\) | −4.54048 | − | 1.47529i | −0.843146 | − | 0.273955i | −0.144574 | − | 0.989494i | \(-0.546181\pi\) |
−0.698573 | + | 0.715539i | \(0.746181\pi\) | |||||||
\(30\) | 0.348152 | + | 2.04500i | 0.0635635 | + | 0.373365i | ||||
\(31\) | −1.78020 | + | 5.27550i | −0.319733 | + | 0.947508i | ||||
\(32\) | −4.22418 | − | 3.76249i | −0.746736 | − | 0.665121i | ||||
\(33\) | −0.979254 | + | 3.01383i | −0.170466 | + | 0.524641i | ||||
\(34\) | −1.51406 | + | 2.39146i | −0.259659 | + | 0.410133i | ||||
\(35\) | 0.378178 | − | 0.520518i | 0.0639238 | − | 0.0879836i | ||||
\(36\) | 0.419458 | − | 2.22489i | 0.0699096 | − | 0.370815i | ||||
\(37\) | −9.05018 | + | 5.22512i | −1.48784 | + | 0.859005i | −0.999904 | − | 0.0138738i | \(-0.995584\pi\) |
−0.487937 | + | 0.872879i | \(0.662250\pi\) | |||||||
\(38\) | −0.130891 | − | 2.04531i | −0.0212333 | − | 0.331793i | ||||
\(39\) | −4.92101 | − | 6.77319i | −0.787993 | − | 1.08458i | ||||
\(40\) | −1.67221 | + | 1.17024i | −0.264399 | + | 0.185031i | ||||
\(41\) | 6.44773 | + | 7.16093i | 1.00697 | + | 1.11835i | 0.992960 | + | 0.118448i | \(0.0377918\pi\) |
0.0140063 | + | 0.999902i | \(0.495541\pi\) | |||||||
\(42\) | −2.13338 | + | 1.42072i | −0.329187 | + | 0.219223i | ||||
\(43\) | 10.1182 | − | 2.15069i | 1.54301 | − | 0.327978i | 0.643699 | − | 0.765279i | \(-0.277399\pi\) |
0.899315 | + | 0.437301i | \(0.144065\pi\) | |||||||
\(44\) | −3.09245 | + | 0.397435i | −0.466205 | + | 0.0599155i | ||||
\(45\) | −0.746267 | − | 0.332260i | −0.111247 | − | 0.0495303i | ||||
\(46\) | 7.38437 | − | 3.87058i | 1.08877 | − | 0.570686i | ||||
\(47\) | 4.63935 | − | 1.50742i | 0.676719 | − | 0.219879i | 0.0495607 | − | 0.998771i | \(-0.484218\pi\) |
0.627158 | + | 0.778892i | \(0.284218\pi\) | |||||||
\(48\) | 7.86674 | − | 2.05599i | 1.13547 | − | 0.296756i | ||||
\(49\) | −6.06943 | − | 1.29010i | −0.867061 | − | 0.184300i | ||||
\(50\) | −2.33828 | − | 5.88731i | −0.330683 | − | 0.832591i | ||||
\(51\) | −1.65477 | − | 3.71667i | −0.231714 | − | 0.520438i | ||||
\(52\) | 3.95278 | − | 7.22690i | 0.548153 | − | 1.00219i | ||||
\(53\) | 3.85738 | − | 0.405427i | 0.529853 | − | 0.0556897i | 0.164175 | − | 0.986431i | \(-0.447504\pi\) |
0.365678 | + | 0.930742i | \(0.380837\pi\) | |||||||
\(54\) | −3.84067 | − | 3.75297i | −0.522649 | − | 0.510715i | ||||
\(55\) | −0.117589 | + | 1.11878i | −0.0158557 | + | 0.150857i | ||||
\(56\) | −2.16132 | − | 1.29942i | −0.288819 | − | 0.173642i | ||||
\(57\) | 2.55120 | + | 1.47294i | 0.337915 | + | 0.195095i | ||||
\(58\) | 6.05077 | + | 2.99551i | 0.794505 | + | 0.393330i | ||||
\(59\) | −3.57960 | − | 3.22308i | −0.466024 | − | 0.419610i | 0.402376 | − | 0.915475i | \(-0.368184\pi\) |
−0.868400 | + | 0.495865i | \(0.834851\pi\) | |||||||
\(60\) | −0.0677538 | − | 2.93290i | −0.00874698 | − | 0.378636i | ||||
\(61\) | − | 4.43017i | − | 0.567225i | −0.958939 | − | 0.283612i | \(-0.908467\pi\) | ||
0.958939 | − | 0.283612i | \(-0.0915329\pi\) | |||||||
\(62\) | 3.57290 | − | 7.01672i | 0.453758 | − | 0.891125i | ||||
\(63\) | − | 1.00935i | − | 0.127166i | ||||||
\(64\) | 5.13910 | + | 6.13104i | 0.642388 | + | 0.766380i | ||||
\(65\) | −2.20866 | − | 1.98868i | −0.273950 | − | 0.246666i | ||||
\(66\) | 1.98833 | − | 4.01632i | 0.244747 | − | 0.494374i | ||||
\(67\) | 3.73132 | + | 2.15428i | 0.455853 | + | 0.263187i | 0.710299 | − | 0.703900i | \(-0.248560\pi\) |
−0.254446 | + | 0.967087i | \(0.581893\pi\) | |||||||
\(68\) | 2.60903 | − | 3.03578i | 0.316391 | − | 0.368142i | ||||
\(69\) | −1.25264 | + | 11.9181i | −0.150800 | + | 1.43477i | ||||
\(70\) | −0.635922 | + | 0.650783i | −0.0760073 | + | 0.0777834i | ||||
\(71\) | −8.06662 | + | 0.847836i | −0.957332 | + | 0.100620i | −0.570291 | − | 0.821443i | \(-0.693170\pi\) |
−0.387041 | + | 0.922062i | \(0.626503\pi\) | |||||||
\(72\) | −1.04323 | + | 3.02719i | −0.122945 | + | 0.356757i | ||||
\(73\) | −1.75152 | − | 3.93398i | −0.205000 | − | 0.460438i | 0.781561 | − | 0.623828i | \(-0.214424\pi\) |
−0.986561 | + | 0.163391i | \(0.947757\pi\) | |||||||
\(74\) | 13.7352 | − | 5.45526i | 1.59668 | − | 0.634161i | ||||
\(75\) | 8.90626 | + | 1.89308i | 1.02841 | + | 0.218594i | ||||
\(76\) | −0.236314 | + | 2.88877i | −0.0271071 | + | 0.331365i | ||||
\(77\) | −1.32195 | + | 0.429526i | −0.150650 | + | 0.0489491i | ||||
\(78\) | 5.49671 | + | 10.4867i | 0.622380 | + | 1.18739i | ||||
\(79\) | −11.1935 | − | 4.98368i | −1.25937 | − | 0.560708i | −0.335006 | − | 0.942216i | \(-0.608738\pi\) |
−0.924366 | + | 0.381508i | \(0.875405\pi\) | |||||||
\(80\) | 2.57986 | − | 1.29453i | 0.288437 | − | 0.144733i | ||||
\(81\) | 10.8717 | − | 2.31086i | 1.20797 | − | 0.256762i | ||||
\(82\) | −7.55347 | − | 11.3424i | −0.834141 | − | 1.25256i | ||||
\(83\) | −1.94382 | − | 2.15883i | −0.213361 | − | 0.236962i | 0.626959 | − | 0.779053i | \(-0.284300\pi\) |
−0.840320 | + | 0.542091i | \(0.817633\pi\) | |||||||
\(84\) | 3.27653 | − | 1.55044i | 0.357498 | − | 0.169167i | ||||
\(85\) | −0.848909 | − | 1.16842i | −0.0920771 | − | 0.126733i | ||||
\(86\) | −14.5991 | + | 0.934281i | −1.57427 | + | 0.100746i | ||||
\(87\) | −8.40444 | + | 4.85231i | −0.901050 | + | 0.520222i | ||||
\(88\) | 4.40867 | + | 0.0781038i | 0.469965 | + | 0.00832589i | ||||
\(89\) | −7.66669 | + | 10.5523i | −0.812668 | + | 1.11854i | 0.178238 | + | 0.983987i | \(0.442960\pi\) |
−0.990906 | + | 0.134554i | \(0.957040\pi\) | |||||||
\(90\) | 0.976083 | + | 0.617968i | 0.102888 | + | 0.0651395i | ||||
\(91\) | 1.13478 | − | 3.49250i | 0.118958 | − | 0.366114i | ||||
\(92\) | −11.1265 | + | 3.90154i | −1.16002 | + | 0.406763i | ||||
\(93\) | 5.54792 | + | 9.86478i | 0.575292 | + | 1.02293i | ||||
\(94\) | −6.80083 | + | 1.15781i | −0.701452 | + | 0.119419i | ||||
\(95\) | 0.994579 | + | 0.323158i | 0.102042 | + | 0.0331553i | ||||
\(96\) | −11.4293 | + | 1.26351i | −1.16650 | + | 0.128956i | ||||
\(97\) | −13.6792 | − | 9.93855i | −1.38892 | − | 1.00911i | −0.995983 | − | 0.0895400i | \(-0.971460\pi\) |
−0.392933 | − | 0.919567i | \(-0.628540\pi\) | |||||||
\(98\) | 8.22815 | + | 3.04994i | 0.831169 | + | 0.308091i | ||||
\(99\) | 0.882396 | + | 1.52835i | 0.0886841 | + | 0.153605i | ||||
\(100\) | 2.06447 | + | 8.71745i | 0.206447 | + | 0.871745i | ||||
\(101\) | 13.3713 | − | 9.71479i | 1.33049 | − | 0.966658i | 0.330754 | − | 0.943717i | \(-0.392697\pi\) |
0.999737 | − | 0.0229406i | \(-0.00730288\pi\) | |||||||
\(102\) | 1.55322 | + | 5.53997i | 0.153792 | + | 0.548539i | ||||
\(103\) | 7.34806 | − | 6.61622i | 0.724026 | − | 0.651916i | −0.222356 | − | 0.974965i | \(-0.571375\pi\) |
0.946382 | + | 0.323050i | \(0.104708\pi\) | |||||||
\(104\) | −7.01313 | + | 9.30169i | −0.687694 | + | 0.912105i | ||||
\(105\) | −0.271919 | − | 1.27928i | −0.0265366 | − | 0.124845i | ||||
\(106\) | −5.48065 | − | 0.223797i | −0.532327 | − | 0.0217370i | ||||
\(107\) | −2.38793 | + | 5.36338i | −0.230850 | + | 0.518498i | −0.991413 | − | 0.130766i | \(-0.958256\pi\) |
0.760563 | + | 0.649264i | \(0.224923\pi\) | |||||||
\(108\) | 4.60443 | + | 6.03907i | 0.443062 | + | 0.581110i | ||||
\(109\) | −2.85747 | − | 8.79439i | −0.273696 | − | 0.842350i | −0.989561 | − | 0.144112i | \(-0.953968\pi\) |
0.715865 | − | 0.698238i | \(-0.246032\pi\) | |||||||
\(110\) | 0.393985 | − | 1.54136i | 0.0375650 | − | 0.146963i | ||||
\(111\) | −4.41660 | + | 20.7785i | −0.419205 | + | 1.97220i | ||||
\(112\) | 2.75777 | + | 2.26149i | 0.260584 | + | 0.213691i | ||||
\(113\) | 5.06476 | − | 2.25497i | 0.476452 | − | 0.212130i | −0.154438 | − | 0.988003i | \(-0.549357\pi\) |
0.630890 | + | 0.775872i | \(0.282690\pi\) | |||||||
\(114\) | −3.26773 | − | 2.58425i | −0.306051 | − | 0.242037i | ||||
\(115\) | 0.444678 | + | 4.23083i | 0.0414664 | + | 0.394526i | ||||
\(116\) | −7.85229 | − | 5.43244i | −0.729067 | − | 0.504390i | ||||
\(117\) | −4.63693 | − | 0.487361i | −0.428685 | − | 0.0450566i | ||||
\(118\) | 4.34779 | + | 5.24407i | 0.400247 | + | 0.482756i | ||||
\(119\) | 0.892253 | − | 1.54543i | 0.0817927 | − | 0.141669i | ||||
\(120\) | −0.506692 | + | 4.11780i | −0.0462545 | + | 0.375902i | ||||
\(121\) | −5.73425 | + | 6.36852i | −0.521295 | + | 0.578957i | ||||
\(122\) | −0.908566 | + | 6.19897i | −0.0822577 | + | 0.561229i | ||||
\(123\) | 19.5875 | 1.76614 | ||||||||
\(124\) | −6.43846 | + | 9.08550i | −0.578191 | + | 0.815902i | ||||
\(125\) | 6.84032 | 0.611817 | ||||||||
\(126\) | −0.207003 | + | 1.41234i | −0.0184413 | + | 0.125821i | ||||
\(127\) | 5.32032 | − | 5.90882i | 0.472102 | − | 0.524323i | −0.459316 | − | 0.888273i | \(-0.651906\pi\) |
0.931418 | + | 0.363950i | \(0.118572\pi\) | |||||||
\(128\) | −5.93357 | − | 9.63290i | −0.524459 | − | 0.851436i | ||||
\(129\) | 10.5136 | − | 18.2101i | 0.925673 | − | 1.60331i | ||||
\(130\) | 2.68264 | + | 3.23566i | 0.235283 | + | 0.283786i | ||||
\(131\) | 9.74656 | + | 1.02440i | 0.851561 | + | 0.0895026i | 0.520245 | − | 0.854017i | \(-0.325841\pi\) |
0.331316 | + | 0.943520i | \(0.392507\pi\) | |||||||
\(132\) | −3.60589 | + | 5.21211i | −0.313852 | + | 0.453656i | ||||
\(133\) | 0.135065 | + | 1.28506i | 0.0117116 | + | 0.111429i | ||||
\(134\) | −4.77928 | − | 3.77964i | −0.412867 | − | 0.326511i | ||||
\(135\) | 2.50311 | − | 1.11446i | 0.215434 | − | 0.0959172i | ||||
\(136\) | −4.27331 | + | 3.71278i | −0.366433 | + | 0.318368i | ||||
\(137\) | 3.25911 | − | 15.3329i | 0.278444 | − | 1.30998i | −0.587250 | − | 0.809406i | \(-0.699789\pi\) |
0.865695 | − | 0.500573i | \(-0.166877\pi\) | |||||||
\(138\) | 4.19701 | − | 16.4196i | 0.357273 | − | 1.39773i | ||||
\(139\) | 0.232036 | + | 0.714132i | 0.0196810 | + | 0.0605719i | 0.960415 | − | 0.278574i | \(-0.0898619\pi\) |
−0.940734 | + | 0.339146i | \(0.889862\pi\) | |||||||
\(140\) | 1.02329 | − | 0.780198i | 0.0864838 | − | 0.0659388i | ||||
\(141\) | 4.03317 | − | 9.05865i | 0.339654 | − | 0.762876i | ||||
\(142\) | 11.4612 | + | 0.468007i | 0.961804 | + | 0.0392743i | ||||
\(143\) | 1.33494 | + | 6.28041i | 0.111634 | + | 0.525195i | ||||
\(144\) | 2.08058 | − | 4.02188i | 0.173382 | − | 0.335157i | ||||
\(145\) | −2.56018 | + | 2.30519i | −0.212611 | + | 0.191436i | ||||
\(146\) | 1.64404 | + | 5.86389i | 0.136061 | + | 0.485299i | ||||
\(147\) | −10.2043 | + | 7.41386i | −0.841637 | + | 0.611485i | ||||
\(148\) | −20.3380 | + | 4.81645i | −1.67177 | + | 0.395910i | ||||
\(149\) | 6.39074 | + | 11.0691i | 0.523550 | + | 0.906814i | 0.999624 | + | 0.0274096i | \(0.00872585\pi\) |
−0.476075 | + | 0.879405i | \(0.657941\pi\) | |||||||
\(150\) | −12.0740 | − | 4.47548i | −0.985835 | − | 0.365421i | ||||
\(151\) | −18.5462 | − | 13.4746i | −1.50927 | − | 1.09655i | −0.966501 | − | 0.256664i | \(-0.917376\pi\) |
−0.542767 | − | 0.839883i | \(-0.682624\pi\) | |||||||
\(152\) | 0.923114 | − | 3.99369i | 0.0748744 | − | 0.323931i | ||||
\(153\) | −2.15482 | − | 0.700143i | −0.174207 | − | 0.0566032i | ||||
\(154\) | 1.93784 | − | 0.329908i | 0.156156 | − | 0.0265847i | ||||
\(155\) | 2.65452 | + | 3.01592i | 0.213216 | + | 0.242244i | ||||
\(156\) | −5.54066 | − | 15.8010i | −0.443608 | − | 1.26509i | ||||
\(157\) | −0.328111 | + | 1.00982i | −0.0261861 | + | 0.0805925i | −0.963296 | − | 0.268443i | \(-0.913491\pi\) |
0.937109 | + | 0.349036i | \(0.113491\pi\) | |||||||
\(158\) | 14.6406 | + | 9.26913i | 1.16475 | + | 0.737412i | ||||
\(159\) | 4.63425 | − | 6.37850i | 0.367520 | − | 0.505848i | ||||
\(160\) | −3.87539 | + | 1.28230i | −0.306377 | + | 0.101374i | ||||
\(161\) | −4.55216 | + | 2.62819i | −0.358760 | + | 0.207130i | ||||
\(162\) | −15.6863 | + | 1.00386i | −1.23244 | + | 0.0788705i | ||||
\(163\) | −5.34682 | − | 7.35927i | −0.418795 | − | 0.576422i | 0.546541 | − | 0.837433i | \(-0.315944\pi\) |
−0.965336 | + | 0.261010i | \(0.915944\pi\) | |||||||
\(164\) | 8.24313 | + | 17.4201i | 0.643681 | + | 1.36028i | ||||
\(165\) | 1.53012 | + | 1.69937i | 0.119119 | + | 0.132296i | ||||
\(166\) | 2.27717 | + | 3.41942i | 0.176742 | + | 0.265398i | ||||
\(167\) | −8.33742 | + | 1.77217i | −0.645169 | + | 0.137135i | −0.518864 | − | 0.854857i | \(-0.673645\pi\) |
−0.126304 | + | 0.991992i | \(0.540312\pi\) | |||||||
\(168\) | −4.90270 | + | 1.49751i | −0.378252 | + | 0.115535i | ||||
\(169\) | −3.62053 | − | 1.61196i | −0.278502 | − | 0.123997i | ||||
\(170\) | 0.948220 | + | 1.80903i | 0.0727251 | + | 0.138746i | ||||
\(171\) | 1.56028 | − | 0.506964i | 0.119317 | − | 0.0387685i | ||||
\(172\) | 20.6197 | + | 1.68678i | 1.57223 | + | 0.128616i | ||||
\(173\) | −3.54155 | − | 0.752781i | −0.269259 | − | 0.0572329i | 0.0713032 | − | 0.997455i | \(-0.477284\pi\) |
−0.340563 | + | 0.940222i | \(0.610618\pi\) | |||||||
\(174\) | 12.7552 | − | 5.06602i | 0.966967 | − | 0.384054i | ||||
\(175\) | 1.62442 | + | 3.64851i | 0.122795 | + | 0.275801i | ||||
\(176\) | −6.15287 | − | 1.01344i | −0.463790 | − | 0.0763913i | ||||
\(177\) | −9.73772 | + | 1.02348i | −0.731932 | + | 0.0769292i | ||||
\(178\) | 12.8919 | − | 13.1931i | 0.966286 | − | 0.988866i | ||||
\(179\) | 1.71829 | − | 16.3485i | 0.128431 | − | 1.22194i | −0.720506 | − | 0.693448i | \(-0.756091\pi\) |
0.848938 | − | 0.528493i | \(-0.177243\pi\) | |||||||
\(180\) | −1.23906 | − | 1.06488i | −0.0923541 | − | 0.0793716i | ||||
\(181\) | 5.82195 | + | 3.36131i | 0.432742 | + | 0.249844i | 0.700514 | − | 0.713638i | \(-0.252954\pi\) |
−0.267772 | + | 0.963482i | \(0.586287\pi\) | |||||||
\(182\) | −2.30412 | + | 4.65420i | −0.170793 | + | 0.344993i | ||||
\(183\) | −6.69231 | − | 6.02578i | −0.494710 | − | 0.445439i | ||||
\(184\) | 16.3690 | − | 3.17739i | 1.20674 | − | 0.234240i | ||||
\(185\) | 7.54098i | 0.554424i | ||||||||
\(186\) | −5.73987 | − | 14.9412i | −0.420868 | − | 1.09554i | ||||
\(187\) | 3.12012i | 0.228166i | ||||||||
\(188\) | 9.75360 | − | 0.225321i | 0.711355 | − | 0.0164332i | ||||
\(189\) | 2.51594 | + | 2.26536i | 0.183007 | + | 0.164781i | ||||
\(190\) | −1.32540 | − | 0.656158i | −0.0961549 | − | 0.0476027i | ||||
\(191\) | 3.06525 | + | 1.76972i | 0.221793 | + | 0.128052i | 0.606780 | − | 0.794870i | \(-0.292461\pi\) |
−0.384987 | + | 0.922922i | \(0.625794\pi\) | |||||||
\(192\) | 16.2517 | + | 0.576011i | 1.17287 | + | 0.0415700i | ||||
\(193\) | −0.958979 | + | 9.12408i | −0.0690288 | + | 0.656765i | 0.904229 | + | 0.427049i | \(0.140447\pi\) |
−0.973258 | + | 0.229717i | \(0.926220\pi\) | |||||||
\(194\) | 17.1026 | + | 16.7121i | 1.22790 | + | 1.19986i | ||||
\(195\) | −6.00829 | + | 0.631497i | −0.430263 | + | 0.0452225i | ||||
\(196\) | −10.8879 | − | 5.95516i | −0.777704 | − | 0.425368i | ||||
\(197\) | 3.86334 | + | 8.67720i | 0.275251 | + | 0.618225i | 0.997285 | − | 0.0736328i | \(-0.0234593\pi\) |
−0.722034 | + | 0.691858i | \(0.756793\pi\) | |||||||
\(198\) | −0.921260 | − | 2.31954i | −0.0654711 | − | 0.164842i | ||||
\(199\) | 5.08104 | + | 1.08001i | 0.360185 | + | 0.0765597i | 0.384450 | − | 0.923146i | \(-0.374391\pi\) |
−0.0242648 | + | 0.999706i | \(0.507724\pi\) | |||||||
\(200\) | −1.10091 | − | 12.6214i | −0.0778463 | − | 0.892468i | ||||
\(201\) | 8.32952 | − | 2.70643i | 0.587519 | − | 0.190897i | ||||
\(202\) | −20.7023 | + | 10.8513i | −1.45661 | + | 0.763494i | ||||
\(203\) | −3.88869 | − | 1.73135i | −0.272932 | − | 0.121517i | ||||
\(204\) | −1.03719 | − | 8.07042i | −0.0726179 | − | 0.565043i | ||||
\(205\) | 6.80145 | − | 1.44569i | 0.475034 | − | 0.100972i | ||||
\(206\) | −11.6388 | + | 7.75086i | −0.810912 | + | 0.540028i | ||||
\(207\) | 4.46564 | + | 4.95960i | 0.310383 | + | 0.344716i | ||||
\(208\) | 11.7209 | − | 11.5772i | 0.812696 | − | 0.802736i | ||||
\(209\) | −1.32795 | − | 1.82776i | −0.0918561 | − | 0.126429i | ||||
\(210\) | 0.118124 | + | 1.84581i | 0.00815133 | + | 0.127373i | ||||
\(211\) | −9.19729 | + | 5.31006i | −0.633168 | + | 0.365560i | −0.781978 | − | 0.623306i | \(-0.785789\pi\) |
0.148810 | + | 0.988866i | \(0.452456\pi\) | |||||||
\(212\) | 7.62297 | + | 1.43716i | 0.523548 | + | 0.0987043i | ||||
\(213\) | −9.69122 | + | 13.3388i | −0.664032 | + | 0.913961i | ||||
\(214\) | 4.44130 | − | 7.01505i | 0.303601 | − | 0.479539i | ||||
\(215\) | 2.30666 | − | 7.09916i | 0.157313 | − | 0.484159i | ||||
\(216\) | −5.20428 | − | 9.39456i | −0.354107 | − | 0.639219i | ||||
\(217\) | −2.07022 | + | 4.51203i | −0.140536 | + | 0.306297i | ||||
\(218\) | 2.19475 | + | 12.8917i | 0.148647 | + | 0.873137i | ||||
\(219\) | −8.32513 | − | 2.70500i | −0.562560 | − | 0.182787i | ||||
\(220\) | −0.867400 | + | 2.07596i | −0.0584801 | + | 0.139961i | ||||
\(221\) | −6.66887 | − | 4.84522i | −0.448597 | − | 0.325925i | ||||
\(222\) | 10.4414 | − | 28.1688i | 0.700779 | − | 1.89056i | ||||
\(223\) | 4.10832 | + | 7.11582i | 0.275114 | + | 0.476511i | 0.970164 | − | 0.242450i | \(-0.0779512\pi\) |
−0.695050 | + | 0.718961i | \(0.744618\pi\) | |||||||
\(224\) | −3.39504 | − | 3.73000i | −0.226841 | − | 0.249221i | ||||
\(225\) | 4.10232 | − | 2.98051i | 0.273488 | − | 0.198701i | ||||
\(226\) | −7.54939 | + | 2.11659i | −0.502178 | + | 0.140794i | ||||
\(227\) | 12.6860 | − | 11.4225i | 0.841999 | − | 0.758140i | −0.130400 | − | 0.991461i | \(-0.541626\pi\) |
0.972400 | + | 0.233322i | \(0.0749596\pi\) | |||||||
\(228\) | 4.04242 | + | 4.28621i | 0.267716 | + | 0.283861i | ||||
\(229\) | −1.91095 | − | 8.99029i | −0.126279 | − | 0.594095i | −0.995092 | − | 0.0989549i | \(-0.968450\pi\) |
0.868813 | − | 0.495140i | \(-0.164883\pi\) | |||||||
\(230\) | 0.245463 | − | 6.01124i | 0.0161853 | − | 0.396369i | ||||
\(231\) | −1.14922 | + | 2.58119i | −0.0756131 | + | 0.169830i | ||||
\(232\) | 9.87330 | + | 9.21182i | 0.648214 | + | 0.604786i | ||||
\(233\) | −0.188817 | − | 0.581118i | −0.0123698 | − | 0.0380703i | 0.944681 | − | 0.327990i | \(-0.106371\pi\) |
−0.957051 | + | 0.289920i | \(0.906371\pi\) | |||||||
\(234\) | 6.38834 | + | 1.63292i | 0.417619 | + | 0.106747i | ||||
\(235\) | 0.731865 | − | 3.44315i | 0.0477416 | − | 0.224607i | ||||
\(236\) | −5.00822 | − | 8.22951i | −0.326007 | − | 0.535695i | ||||
\(237\) | −22.7536 | + | 10.1305i | −1.47800 | + | 0.658050i | ||||
\(238\) | −1.56544 | + | 1.97947i | −0.101473 | + | 0.128310i | ||||
\(239\) | 2.36715 | + | 22.5220i | 0.153118 | + | 1.45682i | 0.753678 | + | 0.657244i | \(0.228278\pi\) |
−0.600559 | + | 0.799580i | \(0.705055\pi\) | |||||||
\(240\) | 1.55350 | − | 5.65797i | 0.100278 | − | 0.365221i | ||||
\(241\) | −1.10974 | − | 0.116638i | −0.0714846 | − | 0.00751333i | 0.0687187 | − | 0.997636i | \(-0.478109\pi\) |
−0.140203 | + | 0.990123i | \(0.544776\pi\) | |||||||
\(242\) | 9.32982 | − | 7.73523i | 0.599744 | − | 0.497240i | ||||
\(243\) | 5.60096 | − | 9.70114i | 0.359302 | − | 0.622329i | ||||
\(244\) | 2.54265 | − | 8.48766i | 0.162776 | − | 0.543367i | ||||
\(245\) | −2.99609 | + | 3.32750i | −0.191413 | + | 0.212586i | ||||
\(246\) | −27.4081 | − | 4.01712i | −1.74747 | − | 0.256122i | ||||
\(247\) | 5.96878 | 0.379784 | ||||||||
\(248\) | 10.8724 | − | 11.3926i | 0.690399 | − | 0.723429i | ||||
\(249\) | −5.90509 | −0.374220 | ||||||||
\(250\) | −9.57142 | − | 1.40286i | −0.605349 | − | 0.0887244i | ||||
\(251\) | 17.2803 | − | 19.1917i | 1.09072 | − | 1.21137i | 0.114766 | − | 0.993393i | \(-0.463388\pi\) |
0.975954 | − | 0.217975i | \(-0.0699450\pi\) | |||||||
\(252\) | 0.579304 | − | 1.93379i | 0.0364927 | − | 0.121817i | ||||
\(253\) | 4.59526 | − | 7.95922i | 0.288902 | − | 0.500392i | ||||
\(254\) | −8.65635 | + | 7.17687i | −0.543148 | + | 0.450317i | ||||
\(255\) | −2.91971 | − | 0.306873i | −0.182839 | − | 0.0192172i | ||||
\(256\) | 6.32706 | + | 14.6959i | 0.395441 | + | 0.918491i | ||||
\(257\) | 2.75933 | + | 26.2533i | 0.172122 | + | 1.63763i | 0.650519 | + | 0.759490i | \(0.274551\pi\) |
−0.478397 | + | 0.878144i | \(0.658782\pi\) | |||||||
\(258\) | −18.4460 | + | 23.3246i | −1.14840 | + | 1.45212i | ||||
\(259\) | −8.51204 | + | 3.78981i | −0.528913 | + | 0.235487i | ||||
\(260\) | −3.09013 | − | 5.07771i | −0.191642 | − | 0.314906i | ||||
\(261\) | −1.12367 | + | 5.28644i | −0.0695533 | + | 0.327222i | ||||
\(262\) | −13.4279 | − | 3.43230i | −0.829579 | − | 0.212048i | ||||
\(263\) | 0.137691 | + | 0.423770i | 0.00849040 | + | 0.0261308i | 0.955212 | − | 0.295922i | \(-0.0956270\pi\) |
−0.946722 | + | 0.322053i | \(0.895627\pi\) | |||||||
\(264\) | 6.11452 | − | 6.55360i | 0.376323 | − | 0.403346i | ||||
\(265\) | 1.13839 | − | 2.55688i | 0.0699310 | − | 0.157068i | ||||
\(266\) | 0.0745562 | − | 1.82584i | 0.00457133 | − | 0.111949i | ||||
\(267\) | 5.51253 | + | 25.9344i | 0.337361 | + | 1.58716i | ||||
\(268\) | 5.91233 | + | 6.26888i | 0.361153 | + | 0.382933i | ||||
\(269\) | −6.09027 | + | 5.48371i | −0.371330 | + | 0.334347i | −0.833576 | − | 0.552404i | \(-0.813710\pi\) |
0.462246 | + | 0.886752i | \(0.347044\pi\) | |||||||
\(270\) | −3.73108 | + | 1.04607i | −0.227066 | + | 0.0636616i | ||||
\(271\) | 10.3763 | − | 7.53881i | 0.630314 | − | 0.457950i | −0.226195 | − | 0.974082i | \(-0.572629\pi\) |
0.856509 | + | 0.516132i | \(0.172629\pi\) | |||||||
\(272\) | 6.74093 | − | 4.31876i | 0.408729 | − | 0.261863i | ||||
\(273\) | −3.73235 | − | 6.46463i | −0.225892 | − | 0.391257i | ||||
\(274\) | −7.70492 | + | 20.7864i | −0.465471 | + | 1.25575i | ||||
\(275\) | −5.64932 | − | 4.10447i | −0.340667 | − | 0.247509i | ||||
\(276\) | −9.24017 | + | 22.1147i | −0.556193 | + | 1.33115i | ||||
\(277\) | −1.08043 | − | 0.351054i | −0.0649169 | − | 0.0210928i | 0.276379 | − | 0.961049i | \(-0.410866\pi\) |
−0.341295 | + | 0.939956i | \(0.610866\pi\) | |||||||
\(278\) | −0.178220 | − | 1.04685i | −0.0106889 | − | 0.0627857i | ||||
\(279\) | 6.15003 | + | 1.37997i | 0.368193 | + | 0.0826164i | ||||
\(280\) | −1.59186 | + | 0.881840i | −0.0951319 | + | 0.0527000i | ||||
\(281\) | −0.830766 | + | 2.55684i | −0.0495594 | + | 0.152528i | −0.972774 | − | 0.231758i | \(-0.925552\pi\) |
0.923214 | + | 0.384286i | \(0.125552\pi\) | |||||||
\(282\) | −7.50128 | + | 11.8483i | −0.446695 | + | 0.705556i | ||||
\(283\) | −19.6689 | + | 27.0719i | −1.16919 | + | 1.60926i | −0.500448 | + | 0.865766i | \(0.666831\pi\) |
−0.668746 | + | 0.743491i | \(0.733169\pi\) | |||||||
\(284\) | −15.9413 | − | 3.00540i | −0.945941 | − | 0.178338i | ||||
\(285\) | 1.84097 | − | 1.06288i | 0.109049 | − | 0.0629598i | ||||
\(286\) | −0.579911 | − | 9.06173i | −0.0342909 | − | 0.535832i | ||||
\(287\) | 5.05000 | + | 6.95073i | 0.298092 | + | 0.410289i | ||||
\(288\) | −3.73612 | + | 5.20097i | −0.220153 | + | 0.306470i | ||||
\(289\) | 8.69486 | + | 9.65662i | 0.511462 | + | 0.568036i | ||||
\(290\) | 4.05513 | − | 2.70052i | 0.238125 | − | 0.158580i | ||||
\(291\) | −33.6195 | + | 7.14604i | −1.97081 | + | 0.418909i | ||||
\(292\) | −1.09784 | − | 8.54230i | −0.0642460 | − | 0.499900i | ||||
\(293\) | −14.6803 | − | 6.53608i | −0.857631 | − | 0.381842i | −0.0696723 | − | 0.997570i | \(-0.522195\pi\) |
−0.787959 | + | 0.615728i | \(0.788862\pi\) | |||||||
\(294\) | 15.7990 | − | 8.28119i | 0.921417 | − | 0.482969i | ||||
\(295\) | −3.30573 | + | 1.07410i | −0.192467 | + | 0.0625364i | ||||
\(296\) | 29.4460 | − | 2.56845i | 1.71151 | − | 0.149288i | ||||
\(297\) | −5.79007 | − | 1.23072i | −0.335974 | − | 0.0714135i | ||||
\(298\) | −6.67221 | − | 16.7992i | −0.386511 | − | 0.973153i | ||||
\(299\) | 9.87589 | + | 22.1816i | 0.571138 | + | 1.28280i | ||||
\(300\) | 15.9768 | + | 8.73857i | 0.922421 | + | 0.504522i | ||||
\(301\) | 9.17257 | − | 0.964076i | 0.528698 | − | 0.0555684i | ||||
\(302\) | 23.1876 | + | 22.6581i | 1.33429 | + | 1.30383i | ||||
\(303\) | 3.51182 | − | 33.4127i | 0.201749 | − | 1.91951i | ||||
\(304\) | −2.11073 | + | 5.39891i | −0.121059 | + | 0.309649i | ||||
\(305\) | −2.76855 | − | 1.59842i | −0.158526 | − | 0.0915253i | ||||
\(306\) | 2.87157 | + | 1.42161i | 0.164157 | + | 0.0812679i | ||||
\(307\) | −23.2268 | − | 20.9135i | −1.32562 | − | 1.19360i | −0.965413 | − | 0.260724i | \(-0.916039\pi\) |
−0.360209 | − | 0.932872i | \(-0.617295\pi\) | |||||||
\(308\) | −2.77921 | + | 0.0642033i | −0.158360 | + | 0.00365833i | ||||
\(309\) | − | 20.0993i | − | 1.14341i | ||||||
\(310\) | −3.09585 | − | 4.76447i | −0.175832 | − | 0.270604i | ||||
\(311\) | 13.6885i | 0.776204i | 0.921616 | + | 0.388102i | \(0.126869\pi\) | ||||
−0.921616 | + | 0.388102i | \(0.873131\pi\) | |||||||
\(312\) | 4.51229 | + | 23.2461i | 0.255458 | + | 1.31605i | ||||
\(313\) | 9.21666 | + | 8.29872i | 0.520957 | + | 0.469071i | 0.887159 | − | 0.461464i | \(-0.152676\pi\) |
−0.366202 | + | 0.930535i | \(0.619342\pi\) | |||||||
\(314\) | 0.666214 | − | 1.34572i | 0.0375966 | − | 0.0759431i | ||||
\(315\) | −0.630771 | − | 0.364176i | −0.0355399 | − | 0.0205190i | ||||
\(316\) | −18.5851 | − | 15.9726i | −1.04550 | − | 0.898526i | ||||
\(317\) | 1.72343 | − | 16.3973i | 0.0967974 | − | 0.920965i | −0.833094 | − | 0.553131i | \(-0.813433\pi\) |
0.929891 | − | 0.367834i | \(-0.119901\pi\) | |||||||
\(318\) | −7.79269 | + | 7.97479i | −0.436992 | + | 0.447204i | ||||
\(319\) | 7.40185 | − | 0.777966i | 0.414424 | − | 0.0435577i | ||||
\(320\) | 5.68568 | − | 0.999481i | 0.317839 | − | 0.0558727i | ||||
\(321\) | 4.85405 | + | 10.9024i | 0.270927 | + | 0.608511i | ||||
\(322\) | 6.90868 | − | 2.74395i | 0.385005 | − | 0.152914i | ||||
\(323\) | 2.83712 | + | 0.603048i | 0.157862 | + | 0.0335545i | ||||
\(324\) | 22.1552 | + | 1.81239i | 1.23084 | + | 0.100688i | ||||
\(325\) | 17.5456 | − | 5.70091i | 0.973255 | − | 0.316230i | ||||
\(326\) | 5.97233 | + | 11.3941i | 0.330777 | + | 0.631062i | ||||
\(327\) | −17.1717 | − | 7.64531i | −0.949595 | − | 0.422787i | ||||
\(328\) | −7.96170 | − | 26.0659i | −0.439611 | − | 1.43925i | ||||
\(329\) | 4.25434 | − | 0.904288i | 0.234549 | − | 0.0498550i | ||||
\(330\) | −1.79252 | − | 2.69167i | −0.0986750 | − | 0.148172i | ||||
\(331\) | 16.7879 | + | 18.6448i | 0.922745 | + | 1.02481i | 0.999614 | + | 0.0277709i | \(0.00884089\pi\) |
−0.0768694 | + | 0.997041i | \(0.524492\pi\) | |||||||
\(332\) | −2.48508 | − | 5.25168i | −0.136386 | − | 0.288223i | ||||
\(333\) | 6.95358 | + | 9.57078i | 0.381054 | + | 0.524476i | ||||
\(334\) | 12.0297 | − | 0.769848i | 0.658236 | − | 0.0421242i | ||||
\(335\) | 2.69255 | − | 1.55454i | 0.147109 | − | 0.0849337i | ||||
\(336\) | 7.16729 | − | 1.08993i | 0.391008 | − | 0.0594607i | ||||
\(337\) | 14.2901 | − | 19.6686i | 0.778430 | − | 1.07142i | −0.217023 | − | 0.976166i | \(-0.569635\pi\) |
0.995453 | − | 0.0952506i | \(-0.0303653\pi\) | |||||||
\(338\) | 4.73548 | + | 2.99808i | 0.257576 | + | 0.163074i | ||||
\(339\) | 3.48252 | − | 10.7181i | 0.189144 | − | 0.582126i | ||||
\(340\) | −0.955802 | − | 2.72578i | −0.0518357 | − | 0.147826i | ||||
\(341\) | −0.809792 | − | 8.64197i | −0.0438527 | − | 0.467989i | ||||
\(342\) | −2.28721 | + | 0.389386i | −0.123678 | + | 0.0210556i | ||||
\(343\) | −11.1975 | − | 3.63830i | −0.604610 | − | 0.196450i | ||||
\(344\) | −28.5064 | − | 6.58906i | −1.53696 | − | 0.355258i | ||||
\(345\) | 6.99602 | + | 5.08290i | 0.376653 | + | 0.273654i | ||||
\(346\) | 4.80118 | + | 1.77966i | 0.258113 | + | 0.0956753i | ||||
\(347\) | −16.8233 | − | 29.1388i | −0.903123 | − | 1.56425i | −0.823417 | − | 0.567436i | \(-0.807935\pi\) |
−0.0797054 | − | 0.996818i | \(-0.525398\pi\) | |||||||
\(348\) | −18.8868 | + | 4.47279i | −1.01244 | + | 0.239767i | ||||
\(349\) | −19.3252 | + | 14.0406i | −1.03445 | + | 0.751575i | −0.969195 | − | 0.246293i | \(-0.920787\pi\) |
−0.0652594 | + | 0.997868i | \(0.520787\pi\) | |||||||
\(350\) | −1.52474 | − | 5.43838i | −0.0815005 | − | 0.290693i | ||||
\(351\) | 11.6219 | − | 10.4644i | 0.620330 | − | 0.558547i | ||||
\(352\) | 8.40165 | + | 2.67995i | 0.447809 | + | 0.142842i | ||||
\(353\) | −4.34393 | − | 20.4366i | −0.231204 | − | 1.08773i | −0.928611 | − | 0.371055i | \(-0.878996\pi\) |
0.697407 | − | 0.716676i | \(-0.254337\pi\) | |||||||
\(354\) | 13.8355 | + | 0.564960i | 0.735351 | + | 0.0300273i | ||||
\(355\) | −2.38063 | + | 5.34698i | −0.126351 | + | 0.283788i | ||||
\(356\) | −20.7448 | + | 15.8167i | −1.09947 | + | 0.838284i | ||||
\(357\) | −1.12094 | − | 3.44990i | −0.0593265 | − | 0.182588i | ||||
\(358\) | −5.75719 | + | 22.5234i | −0.304277 | + | 1.19040i | ||||
\(359\) | −2.64912 | + | 12.4631i | −0.139815 | + | 0.657778i | 0.851290 | + | 0.524695i | \(0.175821\pi\) |
−0.991105 | + | 0.133082i | \(0.957513\pi\) | |||||||
\(360\) | 1.51538 | + | 1.74416i | 0.0798676 | + | 0.0919255i | ||||
\(361\) | 15.4387 | − | 6.87376i | 0.812564 | − | 0.361777i | ||||
\(362\) | −7.45709 | − | 5.89736i | −0.391936 | − | 0.309958i | ||||
\(363\) | 1.82088 | + | 17.3246i | 0.0955716 | + | 0.909303i | ||||
\(364\) | 4.17859 | − | 6.03992i | 0.219018 | − | 0.316578i | ||||
\(365\) | −3.09042 | − | 0.324816i | −0.161760 | − | 0.0170017i | ||||
\(366\) | 8.12850 | + | 9.80416i | 0.424884 | + | 0.512472i | ||||
\(367\) | 9.08081 | − | 15.7284i | 0.474014 | − | 0.821017i | −0.525543 | − | 0.850767i | \(-0.676138\pi\) |
0.999557 | + | 0.0297503i | \(0.00947121\pi\) | |||||||
\(368\) | −23.5563 | + | 1.08894i | −1.22795 | + | 0.0567649i | ||||
\(369\) | 7.29911 | − | 8.10649i | 0.379977 | − | 0.422007i | ||||
\(370\) | 1.54655 | − | 10.5518i | 0.0804014 | − | 0.548563i | ||||
\(371\) | 3.45824 | 0.179543 | ||||||||
\(372\) | 4.96735 | + | 22.0839i | 0.257545 | + | 1.14500i | ||||
\(373\) | −14.6819 | −0.760201 | −0.380100 | − | 0.924945i | \(-0.624111\pi\) | ||||
−0.380100 | + | 0.924945i | \(0.624111\pi\) | |||||||
\(374\) | 0.639894 | − | 4.36587i | 0.0330881 | − | 0.225754i | ||||
\(375\) | 9.30400 | − | 10.3331i | 0.480457 | − | 0.533601i | ||||
\(376\) | −13.6941 | − | 1.68505i | −0.706218 | − | 0.0868997i | ||||
\(377\) | −9.83148 | + | 17.0286i | −0.506347 | + | 0.877019i | ||||
\(378\) | −3.05586 | − | 3.68582i | −0.157177 | − | 0.189578i | ||||
\(379\) | 27.1133 | + | 2.84972i | 1.39272 | + | 0.146381i | 0.770987 | − | 0.636851i | \(-0.219763\pi\) |
0.621730 | + | 0.783231i | \(0.286430\pi\) | |||||||
\(380\) | 1.72002 | + | 1.18996i | 0.0882352 | + | 0.0610437i | ||||
\(381\) | −1.68944 | − | 16.0740i | −0.0865529 | − | 0.823496i | ||||
\(382\) | −3.92614 | − | 3.10495i | −0.200879 | − | 0.158863i | ||||
\(383\) | 21.7992 | − | 9.70563i | 1.11389 | − | 0.495934i | 0.234535 | − | 0.972108i | \(-0.424643\pi\) |
0.879352 | + | 0.476173i | \(0.157976\pi\) | |||||||
\(384\) | −22.6223 | − | 4.13900i | −1.15444 | − | 0.211217i | ||||
\(385\) | −0.208539 | + | 0.981099i | −0.0106281 | + | 0.0500014i | ||||
\(386\) | 3.21309 | − | 12.5703i | 0.163542 | − | 0.639812i | ||||
\(387\) | −3.61864 | − | 11.1370i | −0.183946 | − | 0.566127i | ||||
\(388\) | −20.5036 | − | 26.8921i | −1.04091 | − | 1.36524i | ||||
\(389\) | 8.32571 | − | 18.6999i | 0.422130 | − | 0.948120i | −0.569852 | − | 0.821747i | \(-0.693000\pi\) |
0.991983 | − | 0.126373i | \(-0.0403337\pi\) | |||||||
\(390\) | 8.53670 | + | 0.348587i | 0.432273 | + | 0.0176514i | ||||
\(391\) | 2.45318 | + | 11.5413i | 0.124063 | + | 0.583669i | ||||
\(392\) | 14.0137 | + | 10.5658i | 0.707797 | + | 0.533653i | ||||
\(393\) | 14.8045 | − | 13.3300i | 0.746787 | − | 0.672410i | ||||
\(394\) | −3.62625 | − | 12.9340i | −0.182688 | − | 0.651606i | ||||
\(395\) | −7.15313 | + | 5.19705i | −0.359913 | + | 0.261492i | ||||
\(396\) | 0.813381 | + | 3.43458i | 0.0408739 | + | 0.172594i | ||||
\(397\) | −0.151795 | − | 0.262916i | −0.00761835 | − | 0.0131954i | 0.862191 | − | 0.506583i | \(-0.169092\pi\) |
−0.869809 | + | 0.493388i | \(0.835758\pi\) | |||||||
\(398\) | −6.88821 | − | 2.55327i | −0.345275 | − | 0.127984i | ||||
\(399\) | 2.12495 | + | 1.54387i | 0.106381 | + | 0.0772901i | ||||
\(400\) | −1.04801 | + | 17.8865i | −0.0524004 | + | 0.894323i | ||||
\(401\) | −0.494887 | − | 0.160799i | −0.0247135 | − | 0.00802990i | 0.296634 | − | 0.954991i | \(-0.404136\pi\) |
−0.321348 | + | 0.946961i | \(0.604136\pi\) | |||||||
\(402\) | −12.2103 | + | 2.07873i | −0.608992 | + | 0.103678i | ||||
\(403\) | 19.7287 | + | 11.6892i | 0.982754 | + | 0.582282i | ||||
\(404\) | 31.1934 | − | 10.9381i | 1.55193 | − | 0.544189i | ||||
\(405\) | 2.47844 | − | 7.62784i | 0.123154 | − | 0.379030i | ||||
\(406\) | 5.08622 | + | 3.22014i | 0.252425 | + | 0.159813i | ||||
\(407\) | 9.57581 | − | 13.1800i | 0.474655 | − | 0.653307i | ||||
\(408\) | −0.203829 | + | 11.5054i | −0.0100910 | + | 0.569601i | ||||
\(409\) | 4.77936 | − | 2.75936i | 0.236324 | − | 0.136442i | −0.377162 | − | 0.926147i | \(-0.623100\pi\) |
0.613486 | + | 0.789706i | \(0.289767\pi\) | |||||||
\(410\) | −9.81352 | + | 0.628022i | −0.484655 | + | 0.0310158i | ||||
\(411\) | −18.7293 | − | 25.7786i | −0.923847 | − | 1.27157i | ||||
\(412\) | 17.8753 | − | 8.45854i | 0.880653 | − | 0.416722i | ||||
\(413\) | −2.87375 | − | 3.19162i | −0.141408 | − | 0.157049i | ||||
\(414\) | −5.23146 | − | 7.85562i | −0.257112 | − | 0.386083i | ||||
\(415\) | −2.05045 | + | 0.435837i | −0.100653 | + | 0.0213944i | ||||
\(416\) | −18.7749 | + | 13.7958i | −0.920516 | + | 0.676394i | ||||
\(417\) | 1.39439 | + | 0.620823i | 0.0682837 | + | 0.0304019i | ||||
\(418\) | 1.48330 | + | 2.82987i | 0.0725506 | + | 0.138413i | ||||
\(419\) | −22.4165 | + | 7.28356i | −1.09512 | + | 0.355825i | −0.800222 | − | 0.599704i | \(-0.795285\pi\) |
−0.294896 | + | 0.955529i | \(0.595285\pi\) | |||||||
\(420\) | 0.213264 | − | 2.60701i | 0.0104062 | − | 0.127209i | ||||
\(421\) | 30.7644 | + | 6.53917i | 1.49936 | + | 0.318699i | 0.883229 | − | 0.468942i | \(-0.155365\pi\) |
0.616134 | + | 0.787641i | \(0.288698\pi\) | |||||||
\(422\) | 13.9585 | − | 5.54394i | 0.679487 | − | 0.269875i | ||||
\(423\) | −2.24609 | − | 5.04480i | −0.109209 | − | 0.245287i | ||||
\(424\) | −10.3718 | − | 3.57433i | −0.503700 | − | 0.173585i | ||||
\(425\) | 8.91588 | − | 0.937096i | 0.432484 | − | 0.0454558i | ||||
\(426\) | 16.2962 | − | 16.6770i | 0.789553 | − | 0.808003i | ||||
\(427\) | 0.412887 | − | 3.92836i | 0.0199810 | − | 0.190107i | ||||
\(428\) | −7.65324 | + | 8.90506i | −0.369933 | + | 0.430442i | ||||
\(429\) | 11.3031 | + | 6.52584i | 0.545718 | + | 0.315070i | ||||
\(430\) | −4.68356 | + | 9.46054i | −0.225862 | + | 0.456228i | ||||
\(431\) | 24.1278 | + | 21.7248i | 1.16220 | + | 1.04645i | 0.998199 | + | 0.0599859i | \(0.0191056\pi\) |
0.163998 | + | 0.986461i | \(0.447561\pi\) | |||||||
\(432\) | 5.35547 | + | 14.2128i | 0.257665 | + | 0.683813i | ||||
\(433\) | 21.2641i | 1.02189i | 0.859614 | + | 0.510943i | \(0.170704\pi\) | ||||
−0.859614 | + | 0.510943i | \(0.829296\pi\) | |||||||
\(434\) | 3.82215 | − | 5.88895i | 0.183469 | − | 0.282679i | ||||
\(435\) | 7.00292i | 0.335764i | ||||||||
\(436\) | −0.427120 | − | 18.4890i | −0.0204553 | − | 0.885463i | ||||
\(437\) | −6.34914 | − | 5.71679i | −0.303721 | − | 0.273471i | ||||
\(438\) | 11.0943 | + | 5.49238i | 0.530106 | + | 0.262436i | ||||
\(439\) | 8.03320 | + | 4.63797i | 0.383404 | + | 0.221358i | 0.679298 | − | 0.733862i | \(-0.262284\pi\) |
−0.295894 | + | 0.955221i | \(0.595618\pi\) | |||||||
\(440\) | 1.63947 | − | 2.72693i | 0.0781588 | − | 0.130001i | ||||
\(441\) | −0.734245 | + | 6.98588i | −0.0349641 | + | 0.332661i | ||||
\(442\) | 8.33782 | + | 8.14743i | 0.396590 | + | 0.387534i | ||||
\(443\) | −10.9647 | + | 1.15244i | −0.520950 | + | 0.0547541i | −0.361355 | − | 0.932428i | \(-0.617686\pi\) |
−0.159596 | + | 0.987182i | \(0.551019\pi\) | |||||||
\(444\) | −20.3873 | + | 37.2742i | −0.967536 | + | 1.76895i | ||||
\(445\) | 3.82828 | + | 8.59846i | 0.181478 | + | 0.407606i | ||||
\(446\) | −4.28927 | − | 10.7995i | −0.203103 | − | 0.511370i | ||||
\(447\) | 25.4137 | + | 5.40185i | 1.20203 | + | 0.255499i | ||||
\(448\) | 3.98559 | + | 5.91553i | 0.188301 | + | 0.279483i | ||||
\(449\) | −19.8859 | + | 6.46132i | −0.938474 | + | 0.304929i | −0.738023 | − | 0.674775i | \(-0.764241\pi\) |
−0.200451 | + | 0.979704i | \(0.564241\pi\) | |||||||
\(450\) | −6.35149 | + | 3.32919i | −0.299412 | + | 0.156939i | ||||
\(451\) | −13.7232 | − | 6.10998i | −0.646202 | − | 0.287708i | ||||
\(452\) | 10.9977 | − | 1.41339i | 0.517287 | − | 0.0664805i | ||||
\(453\) | −45.5810 | + | 9.68854i | −2.14158 | + | 0.455208i | ||||
\(454\) | −20.0937 | + | 13.3814i | −0.943042 | + | 0.628020i | ||||
\(455\) | −1.77314 | − | 1.96927i | −0.0831259 | − | 0.0923207i | ||||
\(456\) | −4.77737 | − | 6.82658i | −0.223721 | − | 0.319684i | ||||
\(457\) | −14.1314 | − | 19.4502i | −0.661038 | − | 0.909840i | 0.338477 | − | 0.940974i | \(-0.390088\pi\) |
−0.999515 | + | 0.0311341i | \(0.990088\pi\) | |||||||
\(458\) | 0.830132 | + | 12.9717i | 0.0387895 | + | 0.606128i | ||||
\(459\) | 6.58144 | − | 3.79980i | 0.307195 | − | 0.177359i | ||||
\(460\) | −1.57629 | + | 8.36097i | −0.0734949 | + | 0.389832i | ||||
\(461\) | 16.9100 | − | 23.2747i | 0.787578 | − | 1.08401i | −0.206827 | − | 0.978378i | \(-0.566314\pi\) |
0.994405 | − | 0.105631i | \(-0.0336863\pi\) | |||||||
\(462\) | 2.13743 | − | 3.37608i | 0.0994422 | − | 0.157069i | ||||
\(463\) | −9.10322 | + | 28.0168i | −0.423062 | + | 1.30205i | 0.481775 | + | 0.876295i | \(0.339992\pi\) |
−0.904837 | + | 0.425757i | \(0.860008\pi\) | |||||||
\(464\) | −11.9261 | − | 14.9146i | −0.553657 | − | 0.692395i | ||||
\(465\) | 8.16651 | + | 0.0921881i | 0.378713 | + | 0.00427512i | ||||
\(466\) | 0.145025 | + | 0.851862i | 0.00671816 | + | 0.0394617i | ||||
\(467\) | −37.2170 | − | 12.0925i | −1.72220 | − | 0.559576i | −0.729911 | − | 0.683542i | \(-0.760438\pi\) |
−0.992286 | + | 0.123967i | \(0.960438\pi\) | |||||||
\(468\) | −8.60409 | − | 3.59505i | −0.397724 | − | 0.166181i | ||||
\(469\) | 3.10789 | + | 2.25802i | 0.143509 | + | 0.104265i | ||||
\(470\) | −1.73022 | + | 4.66779i | −0.0798089 | + | 0.215309i | ||||
\(471\) | 1.07917 | + | 1.86918i | 0.0497256 | + | 0.0861273i | ||||
\(472\) | 5.32006 | + | 12.5424i | 0.244876 | + | 0.577310i | ||||
\(473\) | −13.0463 | + | 9.47870i | −0.599870 | + | 0.435831i | ||||
\(474\) | 33.9159 | − | 9.50886i | 1.55781 | − | 0.436757i | ||||
\(475\) | −4.82407 | + | 4.34362i | −0.221344 | + | 0.199299i | ||||
\(476\) | 2.59643 | − | 2.44875i | 0.119007 | − | 0.112238i | ||||
\(477\) | −0.912895 | − | 4.29483i | −0.0417986 | − | 0.196647i | ||||
\(478\) | 1.30667 | − | 31.9996i | 0.0597658 | − | 1.46363i | ||||
\(479\) | −14.0569 | + | 31.5724i | −0.642277 | + | 1.44258i | 0.239492 | + | 0.970898i | \(0.423019\pi\) |
−0.881770 | + | 0.471680i | \(0.843648\pi\) | |||||||
\(480\) | −3.33413 | + | 7.59840i | −0.152182 | + | 0.346818i | ||||
\(481\) | 13.3003 | + | 40.9342i | 0.606443 | + | 1.86644i | ||||
\(482\) | 1.52890 | + | 0.390800i | 0.0696393 | + | 0.0178004i | ||||
\(483\) | −2.22151 | + | 10.4514i | −0.101082 | + | 0.475554i | ||||
\(484\) | −14.6413 | + | 8.91021i | −0.665512 | + | 0.405010i | ||||
\(485\) | −11.1464 | + | 4.96271i | −0.506133 | + | 0.225345i | ||||
\(486\) | −9.82679 | + | 12.4258i | −0.445752 | + | 0.563645i | ||||
\(487\) | −1.77474 | − | 16.8855i | −0.0804211 | − | 0.765155i | −0.958202 | − | 0.286093i | \(-0.907643\pi\) |
0.877781 | − | 0.479062i | \(-0.159023\pi\) | |||||||
\(488\) | −5.29854 | + | 11.3550i | −0.239854 | + | 0.514018i | ||||
\(489\) | −18.3897 | − | 1.93283i | −0.831609 | − | 0.0874056i | ||||
\(490\) | 4.87475 | − | 4.04159i | 0.220219 | − | 0.182581i | ||||
\(491\) | −2.39160 | + | 4.14236i | −0.107931 | + | 0.186942i | −0.914932 | − | 0.403608i | \(-0.867756\pi\) |
0.807001 | + | 0.590550i | \(0.201089\pi\) | |||||||
\(492\) | 37.5272 | + | 11.2420i | 1.69186 | + | 0.506830i | ||||
\(493\) | −6.39363 | + | 7.10085i | −0.287955 | + | 0.319806i | ||||
\(494\) | −8.35190 | − | 1.22411i | −0.375770 | − | 0.0550755i | ||||
\(495\) | 1.27349 | 0.0572390 | ||||||||
\(496\) | −17.5498 | + | 13.7114i | −0.788011 | + | 0.615661i | ||||
\(497\) | −7.23193 | −0.324397 | ||||||||
\(498\) | 8.26278 | + | 1.21105i | 0.370264 | + | 0.0542686i | ||||
\(499\) | −4.04815 | + | 4.49592i | −0.181220 | + | 0.201265i | −0.826910 | − | 0.562335i | \(-0.809903\pi\) |
0.645690 | + | 0.763600i | \(0.276570\pi\) | |||||||
\(500\) | 13.1052 | + | 3.92593i | 0.586084 | + | 0.175573i | ||||
\(501\) | −8.66322 | + | 15.0051i | −0.387044 | + | 0.670380i | ||||
\(502\) | −28.1156 | + | 23.3103i | −1.25486 | + | 1.04039i | ||||
\(503\) | −16.0254 | − | 1.68434i | −0.714539 | − | 0.0751010i | −0.259719 | − | 0.965684i | \(-0.583630\pi\) |
−0.454820 | + | 0.890583i | \(0.650296\pi\) | |||||||
\(504\) | −1.20719 | + | 2.58707i | −0.0537726 | + | 0.115237i | ||||
\(505\) | −1.24667 | − | 11.8612i | −0.0554759 | − | 0.527818i | ||||
\(506\) | −8.06231 | + | 10.1946i | −0.358413 | + | 0.453207i | ||||
\(507\) | −7.35960 | + | 3.27671i | −0.326851 | + | 0.145524i | ||||
\(508\) | 13.5844 | − | 8.26703i | 0.602710 | − | 0.366790i | ||||
\(509\) | −8.60148 | + | 40.4668i | −0.381254 | + | 1.79366i | 0.199847 | + | 0.979827i | \(0.435956\pi\) |
−0.581101 | + | 0.813832i | \(0.697378\pi\) | |||||||
\(510\) | 4.02250 | + | 1.02819i | 0.178119 | + | 0.0455289i | ||||
\(511\) | −1.18648 | − | 3.65162i | −0.0524869 | − | 0.161538i | ||||
\(512\) | −5.83930 | − | 21.8610i | −0.258063 | − | 0.966128i | ||||
\(513\) | −2.23818 | + | 5.02703i | −0.0988179 | + | 0.221949i | ||||
\(514\) | 1.52315 | − | 37.3011i | 0.0671834 | − | 1.64528i | ||||
\(515\) | −1.48347 | − | 6.97918i | −0.0653696 | − | 0.307540i | ||||
\(516\) | 30.5943 | − | 28.8542i | 1.34684 | − | 1.27024i | ||||
\(517\) | −5.65138 | + | 5.08853i | −0.248548 | + | 0.223793i | ||||
\(518\) | 12.6878 | − | 3.55724i | 0.557471 | − | 0.156296i | ||||
\(519\) | −5.95429 | + | 4.32604i | −0.261364 | + | 0.189892i | ||||
\(520\) | 3.28254 | + | 7.73880i | 0.143949 | + | 0.339369i | ||||
\(521\) | −1.75714 | − | 3.04345i | −0.0769817 | − | 0.133336i | 0.824965 | − | 0.565184i | \(-0.191195\pi\) |
−0.901946 | + | 0.431848i | \(0.857862\pi\) | |||||||
\(522\) | 2.65648 | − | 7.16667i | 0.116271 | − | 0.313677i | ||||
\(523\) | −10.4100 | − | 7.56331i | −0.455198 | − | 0.330720i | 0.336447 | − | 0.941702i | \(-0.390775\pi\) |
−0.791644 | + | 0.610982i | \(0.790775\pi\) | |||||||
\(524\) | 18.0853 | + | 7.55657i | 0.790059 | + | 0.330110i | ||||
\(525\) | 7.72101 | + | 2.50871i | 0.336973 | + | 0.109489i | ||||
\(526\) | −0.105757 | − | 0.621205i | −0.00461122 | − | 0.0270858i | ||||
\(527\) | 8.19655 | + | 7.54947i | 0.357047 | + | 0.328860i | ||||
\(528\) | −9.89988 | + | 7.91621i | −0.430837 | + | 0.344509i | ||||
\(529\) | 3.63255 | − | 11.1798i | 0.157937 | − | 0.486080i | ||||
\(530\) | −2.11730 | + | 3.34428i | −0.0919694 | + | 0.145266i | ||||
\(531\) | −3.20511 | + | 4.41145i | −0.139090 | + | 0.191441i | ||||
\(532\) | −0.478778 | + | 2.53954i | −0.0207577 | + | 0.110103i | ||||
\(533\) | 34.3700 | − | 19.8436i | 1.48873 | − | 0.859520i | ||||
\(534\) | −2.39469 | − | 37.4196i | −0.103628 | − | 1.61931i | ||||
\(535\) | 2.49017 | + | 3.42742i | 0.107659 | + | 0.148180i | ||||
\(536\) | −6.98724 | − | 9.98436i | −0.301803 | − | 0.431259i | ||||
\(537\) | −22.3592 | − | 24.8324i | −0.964870 | − | 1.07160i | ||||
\(538\) | 9.64653 | − | 6.42412i | 0.415891 | − | 0.276964i | ||||
\(539\) | 9.46190 | − | 2.01119i | 0.407553 | − | 0.0866280i | ||||
\(540\) | 5.43529 | − | 0.698531i | 0.233898 | − | 0.0300600i | ||||
\(541\) | 15.6343 | + | 6.96084i | 0.672171 | + | 0.299270i | 0.714297 | − | 0.699842i | \(-0.246746\pi\) |
−0.0421260 | + | 0.999112i | \(0.513413\pi\) | |||||||
\(542\) | −16.0653 | + | 8.42075i | −0.690062 | + | 0.361702i | ||||
\(543\) | 12.9965 | − | 4.22282i | 0.557734 | − | 0.181219i | ||||
\(544\) | −10.3181 | + | 4.66061i | −0.442383 | + | 0.199822i | ||||
\(545\) | −6.52687 | − | 1.38733i | −0.279580 | − | 0.0594267i | ||||
\(546\) | 3.89674 | + | 9.81117i | 0.166765 | + | 0.419879i | ||||
\(547\) | 3.50967 | + | 7.88285i | 0.150063 | + | 0.337046i | 0.972898 | − | 0.231233i | \(-0.0742760\pi\) |
−0.822836 | + | 0.568279i | \(0.807609\pi\) | |||||||
\(548\) | 15.0442 | − | 27.5055i | 0.642657 | − | 1.17497i | ||||
\(549\) | −4.98767 | + | 0.524225i | −0.212868 | + | 0.0223734i | ||||
\(550\) | 7.06312 | + | 6.90184i | 0.301173 | + | 0.294296i | ||||
\(551\) | 0.723206 | − | 6.88085i | 0.0308096 | − | 0.293134i | ||||
\(552\) | 17.4649 | − | 29.0492i | 0.743354 | − | 1.23642i | ||||
\(553\) | −9.46117 | − | 5.46241i | −0.402330 | − | 0.232285i | ||||
\(554\) | 1.43981 | + | 0.712799i | 0.0611718 | + | 0.0302839i | ||||
\(555\) | 11.3916 | + | 10.2570i | 0.483545 | + | 0.435386i | ||||
\(556\) | 0.0346835 | + | 1.50137i | 0.00147091 | + | 0.0636721i | ||||
\(557\) | 39.4674i | 1.67229i | 0.548509 | + | 0.836145i | \(0.315196\pi\) | ||||
−0.548509 | + | 0.836145i | \(0.684804\pi\) | |||||||
\(558\) | −8.32251 | − | 3.19222i | −0.352320 | − | 0.135138i | ||||
\(559\) | − | 42.6043i | − | 1.80197i | ||||||
\(560\) | 2.40829 | − | 0.907458i | 0.101769 | − | 0.0383471i | ||||
\(561\) | 4.71333 | + | 4.24390i | 0.198997 | + | 0.179178i | ||||
\(562\) | 1.68683 | − | 3.40731i | 0.0711548 | − | 0.143729i | ||||
\(563\) | −1.54604 | − | 0.892609i | −0.0651580 | − | 0.0376190i | 0.467067 | − | 0.884222i | \(-0.345311\pi\) |
−0.532225 | + | 0.846603i | \(0.678644\pi\) | |||||||
\(564\) | 12.9262 | − | 15.0405i | 0.544291 | − | 0.633319i | ||||
\(565\) | 0.418181 | − | 3.97872i | 0.0175930 | − | 0.167386i | ||||
\(566\) | 33.0740 | − | 33.8469i | 1.39021 | − | 1.42269i | ||||
\(567\) | 9.85565 | − | 1.03587i | 0.413899 | − | 0.0435025i | ||||
\(568\) | 21.6897 | + | 7.47469i | 0.910079 | + | 0.313631i | ||||
\(569\) | −13.1685 | − | 29.5769i | −0.552051 | − | 1.23993i | −0.947003 | − | 0.321225i | \(-0.895906\pi\) |
0.394952 | − | 0.918702i | \(-0.370761\pi\) | |||||||
\(570\) | −2.79398 | + | 1.10970i | −0.117027 | + | 0.0464801i | ||||
\(571\) | −5.88901 | − | 1.25175i | −0.246447 | − | 0.0523840i | 0.0830317 | − | 0.996547i | \(-0.473540\pi\) |
−0.329479 | + | 0.944163i | \(0.606873\pi\) | |||||||
\(572\) | −1.04699 | + | 12.7987i | −0.0437768 | + | 0.535140i | ||||
\(573\) | 6.84264 | − | 2.22331i | 0.285855 | − | 0.0928800i | ||||
\(574\) | −5.64079 | − | 10.7616i | −0.235442 | − | 0.449180i | ||||
\(575\) | −24.1239 | − | 10.7407i | −1.00604 | − | 0.447917i | ||||
\(576\) | 6.29447 | − | 6.51131i | 0.262269 | − | 0.271305i | ||||
\(577\) | −12.4660 | + | 2.64972i | −0.518964 | + | 0.110309i | −0.459945 | − | 0.887948i | \(-0.652131\pi\) |
−0.0590196 | + | 0.998257i | \(0.518797\pi\) | |||||||
\(578\) | −10.1860 | − | 15.2954i | −0.423680 | − | 0.636203i | ||||
\(579\) | 12.4787 | + | 13.8590i | 0.518595 | + | 0.575959i | ||||
\(580\) | −6.22803 | + | 2.94709i | −0.258605 | + | 0.122371i | ||||
\(581\) | −1.52244 | − | 2.09546i | −0.0631614 | − | 0.0869342i | ||||
\(582\) | 48.5081 | − | 3.10431i | 2.01073 | − | 0.128678i | ||||
\(583\) | −5.23648 | + | 3.02328i | −0.216873 | + | 0.125212i | ||||
\(584\) | −0.215746 | + | 12.1781i | −0.00892765 | + | 0.503933i | ||||
\(585\) | −1.97759 | + | 2.72192i | −0.0817633 | + | 0.112537i | ||||
\(586\) | 19.2011 | + | 12.1564i | 0.793191 | + | 0.502177i | ||||
\(587\) | 2.16683 | − | 6.66883i | 0.0894348 | − | 0.275252i | −0.896329 | − | 0.443390i | \(-0.853776\pi\) |
0.985763 | + | 0.168138i | \(0.0537755\pi\) | |||||||
\(588\) | −23.8053 | + | 8.34741i | −0.981715 | + | 0.344241i | ||||
\(589\) | −8.01464 | − | 0.933954i | −0.330237 | − | 0.0384829i | ||||
\(590\) | 4.84588 | − | 0.824986i | 0.199502 | − | 0.0339641i | ||||
\(591\) | 18.3628 | + | 5.96642i | 0.755343 | + | 0.245426i | ||||
\(592\) | −41.7294 | − | 2.44502i | −1.71507 | − | 0.100490i | ||||
\(593\) | 10.2646 | + | 7.45770i | 0.421518 | + | 0.306251i | 0.778248 | − | 0.627957i | \(-0.216108\pi\) |
−0.356730 | + | 0.934207i | \(0.616108\pi\) | |||||||
\(594\) | 7.84944 | + | 2.90956i | 0.322066 | + | 0.119381i | ||||
\(595\) | −0.643857 | − | 1.11519i | −0.0263956 | − | 0.0457184i | ||||
\(596\) | 5.89090 | + | 24.8749i | 0.241301 | + | 1.01892i | ||||
\(597\) | 8.54256 | − | 6.20653i | 0.349624 | − | 0.254016i | ||||
\(598\) | −9.26984 | − | 33.0634i | −0.379072 | − | 1.35206i | ||||
\(599\) | 26.9589 | − | 24.2739i | 1.10151 | − | 0.991804i | 0.101514 | − | 0.994834i | \(-0.467631\pi\) |
0.999995 | + | 0.00303042i | \(0.000964614\pi\) | |||||||
\(600\) | −20.5636 | − | 15.5042i | −0.839505 | − | 0.632956i | ||||
\(601\) | 7.80916 | + | 36.7392i | 0.318542 | + | 1.49862i | 0.788004 | + | 0.615670i | \(0.211115\pi\) |
−0.469462 | + | 0.882953i | \(0.655552\pi\) | |||||||
\(602\) | −13.0326 | − | 0.532171i | −0.531168 | − | 0.0216897i | ||||
\(603\) | 1.98385 | − | 4.45579i | 0.0807884 | − | 0.181454i | ||||
\(604\) | −27.7987 | − | 36.4601i | −1.13111 | − | 1.48354i | ||||
\(605\) | 1.91095 | + | 5.88129i | 0.0776911 | + | 0.239109i | ||||
\(606\) | −11.7664 | + | 46.0330i | −0.477979 | + | 1.86996i | ||||
\(607\) | −2.94213 | + | 13.8416i | −0.119417 | + | 0.561814i | 0.877235 | + | 0.480061i | \(0.159385\pi\) |
−0.996653 | + | 0.0817537i | \(0.973948\pi\) | |||||||
\(608\) | 4.06071 | − | 7.12162i | 0.164684 | − | 0.288820i | ||||
\(609\) | −7.90470 | + | 3.51940i | −0.320315 | + | 0.142613i | ||||
\(610\) | 3.54611 | + | 2.80440i | 0.143578 | + | 0.113547i | ||||
\(611\) | −2.10010 | − | 19.9811i | −0.0849608 | − | 0.808348i | ||||
\(612\) | −3.72653 | − | 2.57812i | −0.150636 | − | 0.104215i | ||||
\(613\) | 31.2046 | + | 3.27974i | 1.26034 | + | 0.132467i | 0.711038 | − | 0.703154i | \(-0.248226\pi\) |
0.549306 | + | 0.835621i | \(0.314892\pi\) | |||||||
\(614\) | 28.2113 | + | 34.0270i | 1.13852 | + | 1.37322i | ||||
\(615\) | 7.06724 | − | 12.2408i | 0.284978 | − | 0.493597i | ||||
\(616\) | 3.90202 | + | 0.480141i | 0.157217 | + | 0.0193454i | ||||
\(617\) | 31.7689 | − | 35.2830i | 1.27897 | − | 1.42044i | 0.420732 | − | 0.907185i | \(-0.361773\pi\) |
0.858237 | − | 0.513253i | \(-0.171560\pi\) | |||||||
\(618\) | −4.12210 | + | 28.1243i | −0.165815 | + | 1.13132i | ||||
\(619\) | 12.6040 | 0.506599 | 0.253299 | − | 0.967388i | \(-0.418484\pi\) | ||||
0.253299 | + | 0.967388i | \(0.418484\pi\) | |||||||
\(620\) | 3.35478 | + | 7.30167i | 0.134731 | + | 0.293242i | ||||
\(621\) | −22.3851 | −0.898283 | ||||||||
\(622\) | 2.80732 | − | 19.1538i | 0.112563 | − | 0.767999i | ||||
\(623\) | −7.78175 | + | 8.64251i | −0.311769 | + | 0.346255i | ||||
\(624\) | −1.54643 | − | 33.4528i | −0.0619067 | − | 1.33918i | ||||
\(625\) | −8.73019 | + | 15.1211i | −0.349208 | + | 0.604846i | ||||
\(626\) | −11.1946 | − | 13.5023i | −0.447426 | − | 0.539661i | ||||
\(627\) | −4.56730 | − | 0.480042i | −0.182400 | − | 0.0191710i | ||||
\(628\) | −1.20820 | + | 1.74638i | −0.0482123 | + | 0.0696881i | ||||
\(629\) | 2.18626 | + | 20.8009i | 0.0871720 | + | 0.829386i | ||||
\(630\) | 0.807928 | + | 0.638941i | 0.0321886 | + | 0.0254560i | ||||
\(631\) | 24.7599 | − | 11.0238i | 0.985676 | − | 0.438851i | 0.150366 | − | 0.988630i | \(-0.451955\pi\) |
0.835310 | + | 0.549779i | \(0.185288\pi\) | |||||||
\(632\) | 22.7298 | + | 26.1614i | 0.904141 | + | 1.04064i | ||||
\(633\) | −4.48839 | + | 21.1162i | −0.178398 | + | 0.839294i | ||||
\(634\) | −5.77440 | + | 22.5907i | −0.229331 | + | 0.897192i | ||||
\(635\) | −1.77301 | − | 5.45675i | −0.0703596 | − | 0.216545i | ||||
\(636\) | 12.5395 | − | 9.56066i | 0.497225 | − | 0.379105i | ||||
\(637\) | −10.3947 | + | 23.3468i | −0.411851 | + | 0.925033i | ||||
\(638\) | −10.5167 | − | 0.429438i | −0.416360 | − | 0.0170016i | ||||
\(639\) | 1.90906 | + | 8.98142i | 0.0755212 | + | 0.355299i | ||||
\(640\) | −8.16075 | + | 0.232483i | −0.322582 | + | 0.00918969i | ||||
\(641\) | −7.95856 | + | 7.16592i | −0.314344 | + | 0.283037i | −0.811166 | − | 0.584816i | \(-0.801167\pi\) |
0.496822 | + | 0.867852i | \(0.334500\pi\) | |||||||
\(642\) | −4.55617 | − | 16.2508i | −0.179818 | − | 0.641368i | ||||
\(643\) | 1.64029 | − | 1.19174i | 0.0646865 | − | 0.0469975i | −0.554972 | − | 0.831869i | \(-0.687271\pi\) |
0.619659 | + | 0.784871i | \(0.287271\pi\) | |||||||
\(644\) | −10.2298 | + | 2.42263i | −0.403111 | + | 0.0954650i | ||||
\(645\) | −7.58671 | − | 13.1406i | −0.298726 | − | 0.517409i | ||||
\(646\) | −3.84620 | − | 1.42568i | −0.151327 | − | 0.0560925i | ||||
\(647\) | −1.29610 | − | 0.941671i | −0.0509549 | − | 0.0370209i | 0.562016 | − | 0.827126i | \(-0.310026\pi\) |
−0.612971 | + | 0.790105i | \(0.710026\pi\) | |||||||
\(648\) | −30.6293 | − | 7.07974i | −1.20323 | − | 0.278119i | ||||
\(649\) | 7.14163 | + | 2.32046i | 0.280333 | + | 0.0910859i | ||||
\(650\) | −25.7201 | + | 4.37872i | −1.00883 | + | 0.171747i | ||||
\(651\) | 4.00012 | + | 9.26446i | 0.156777 | + | 0.363103i | ||||
\(652\) | −6.02009 | − | 17.1682i | −0.235765 | − | 0.672359i | ||||
\(653\) | 4.20455 | − | 12.9403i | 0.164537 | − | 0.506392i | −0.834465 | − | 0.551061i | \(-0.814223\pi\) |
0.999002 | + | 0.0446689i | \(0.0142233\pi\) | |||||||
\(654\) | 22.4597 | + | 14.2195i | 0.878245 | + | 0.556026i | ||||
\(655\) | 4.15678 | − | 5.72131i | 0.162419 | − | 0.223550i | ||||
\(656\) | 5.79477 | + | 38.1059i | 0.226248 | + | 1.48778i | ||||
\(657\) | −4.22178 | + | 2.43745i | −0.164707 | + | 0.0950939i | ||||
\(658\) | −6.13840 | + | 0.392831i | −0.239300 | + | 0.0153141i | ||||
\(659\) | −26.3031 | − | 36.2031i | −1.02462 | − | 1.41027i | −0.908912 | − | 0.416988i | \(-0.863086\pi\) |
−0.115710 | − | 0.993283i | \(-0.536914\pi\) | |||||||
\(660\) | 1.95619 | + | 4.13398i | 0.0761444 | + | 0.160915i | ||||
\(661\) | −8.56230 | − | 9.50939i | −0.333035 | − | 0.369873i | 0.553248 | − | 0.833016i | \(-0.313388\pi\) |
−0.886283 | + | 0.463144i | \(0.846721\pi\) | |||||||
\(662\) | −19.6669 | − | 29.5320i | −0.764375 | − | 1.14779i | ||||
\(663\) | −16.3901 | + | 3.48382i | −0.636538 | + | 0.135300i | ||||
\(664\) | 2.40023 | + | 7.85814i | 0.0931472 | + | 0.304955i | ||||
\(665\) | 0.851805 | + | 0.379248i | 0.0330316 | + | 0.0147066i | ||||
\(666\) | −7.76706 | − | 14.8181i | −0.300967 | − | 0.574191i | ||||
\(667\) | 26.7677 | − | 8.69737i | 1.03645 | − | 0.336763i | ||||
\(668\) | −16.9906 | − | 1.38990i | −0.657386 | − | 0.0537770i | ||||
\(669\) | 16.3373 | + | 3.47261i | 0.631638 | + | 0.134259i | ||||
\(670\) | −4.08640 | + | 1.62301i | −0.157871 | + | 0.0627024i | ||||
\(671\) | 2.80908 | + | 6.30929i | 0.108443 | + | 0.243568i | ||||
\(672\) | −10.2525 | + | 0.0551902i | −0.395497 | + | 0.00212901i | ||||
\(673\) | 13.7001 | − | 1.43994i | 0.528101 | − | 0.0555056i | 0.163273 | − | 0.986581i | \(-0.447795\pi\) |
0.364827 | + | 0.931075i | \(0.381128\pi\) | |||||||
\(674\) | −24.0293 | + | 24.5909i | −0.925576 | + | 0.947205i | ||||
\(675\) | −1.77784 | + | 16.9150i | −0.0684290 | + | 0.651059i | ||||
\(676\) | −6.01133 | − | 5.16629i | −0.231205 | − | 0.198704i | ||||
\(677\) | −18.2390 | − | 10.5303i | −0.700982 | − | 0.404712i | 0.106731 | − | 0.994288i | \(-0.465962\pi\) |
−0.807713 | + | 0.589576i | \(0.799295\pi\) | |||||||
\(678\) | −7.07109 | + | 14.2832i | −0.271564 | + | 0.548543i | ||||
\(679\) | −11.2035 | − | 10.0877i | −0.429952 | − | 0.387130i | ||||
\(680\) | 0.778400 | + | 4.01011i | 0.0298503 | + | 0.153781i | ||||
\(681\) | − | 34.7003i | − | 1.32972i | ||||||
\(682\) | −0.639237 | + | 12.2585i | −0.0244777 | + | 0.469401i | ||||
\(683\) | 31.9927i | 1.22417i | 0.790793 | + | 0.612084i | \(0.209669\pi\) | ||||
−0.790793 | + | 0.612084i | \(0.790331\pi\) | |||||||
\(684\) | 3.28027 | − | 0.0757784i | 0.125424 | − | 0.00289746i | ||||
\(685\) | −8.40610 | − | 7.56888i | −0.321180 | − | 0.289192i | ||||
\(686\) | 14.9221 | + | 7.38740i | 0.569730 | + | 0.282052i | ||||
\(687\) | −16.1801 | − | 9.34161i | −0.617311 | − | 0.356405i | ||||
\(688\) | 38.5367 | + | 15.0661i | 1.46920 | + | 0.574390i | ||||
\(689\) | 1.66981 | − | 15.8872i | 0.0636146 | − | 0.605253i | ||||
\(690\) | −8.74684 | − | 8.54711i | −0.332987 | − | 0.325383i | ||||
\(691\) | −25.8536 | + | 2.71733i | −0.983518 | + | 0.103372i | −0.582615 | − | 0.812748i | \(-0.697970\pi\) |
−0.400903 | + | 0.916120i | \(0.631304\pi\) | |||||||
\(692\) | −6.35314 | − | 3.47488i | −0.241510 | − | 0.132095i | ||||
\(693\) | 0.640006 | + | 1.43748i | 0.0243118 | + | 0.0546052i | ||||
\(694\) | 17.5643 | + | 44.2232i | 0.666731 | + | 1.67869i | ||||
\(695\) | 0.530002 | + | 0.112655i | 0.0201041 | + | 0.00427327i | ||||
\(696\) | 27.3450 | − | 2.38519i | 1.03651 | − | 0.0904103i | ||||
\(697\) | 18.3419 | − | 5.95964i | 0.694748 | − | 0.225737i | ||||
\(698\) | 29.9206 | − | 15.6832i | 1.13251 | − | 0.593616i | ||||
\(699\) | −1.13467 | − | 0.505189i | −0.0429173 | − | 0.0191080i | ||||
\(700\) | 1.01817 | + | 7.92243i | 0.0384832 | + | 0.299440i | ||||
\(701\) | 9.99012 | − | 2.12346i | 0.377321 | − | 0.0802022i | −0.0153470 | − | 0.999882i | \(-0.504885\pi\) |
0.392669 | + | 0.919680i | \(0.371552\pi\) | |||||||
\(702\) | −18.4082 | + | 12.2589i | −0.694771 | + | 0.462684i | ||||
\(703\) | −10.1337 | − | 11.2547i | −0.382201 | − | 0.424477i | ||||
\(704\) | −11.2065 | − | 5.47301i | −0.422361 | − | 0.206272i | ||||
\(705\) | −4.20584 | − | 5.78885i | −0.158401 | − | 0.218021i | ||||
\(706\) | 1.88704 | + | 29.4871i | 0.0710199 | + | 1.10976i | ||||
\(707\) | 12.7621 | − | 7.36821i | 0.479968 | − | 0.277110i | ||||
\(708\) | −19.2437 | − | 3.62801i | −0.723223 | − | 0.136349i | ||||
\(709\) | 13.8741 | − | 19.0961i | 0.521054 | − | 0.717169i | −0.464681 | − | 0.885478i | \(-0.653831\pi\) |
0.985734 | + | 0.168310i | \(0.0538308\pi\) | |||||||
\(710\) | 4.42772 | − | 6.99360i | 0.166169 | − | 0.262465i | ||||
\(711\) | −4.28630 | + | 13.1919i | −0.160749 | + | 0.494734i | ||||
\(712\) | 32.2713 | − | 17.8773i | 1.20942 | − | 0.669979i | ||||
\(713\) | −9.79013 | − | 31.3299i | −0.366643 | − | 1.17331i | ||||
\(714\) | 0.860965 | + | 5.05722i | 0.0322208 | + | 0.189262i | ||||
\(715\) | 4.40647 | + | 1.43175i | 0.164793 | + | 0.0535444i | ||||
\(716\) | 12.6751 | − | 30.3355i | 0.473690 | − | 1.13369i | ||||
\(717\) | 37.2419 | + | 27.0578i | 1.39082 | + | 1.01049i | ||||
\(718\) | 6.26283 | − | 16.8959i | 0.233727 | − | 0.630549i | ||||
\(719\) | 21.2650 | + | 36.8320i | 0.793050 | + | 1.37360i | 0.924070 | + | 0.382222i | \(0.124841\pi\) |
−0.131021 | + | 0.991380i | \(0.541825\pi\) | |||||||
\(720\) | −1.76271 | − | 2.75133i | −0.0656924 | − | 0.102536i | ||||
\(721\) | 7.13237 | − | 5.18197i | 0.265623 | − | 0.192987i | ||||
\(722\) | −23.0126 | + | 6.45194i | −0.856439 | + | 0.240116i | ||||
\(723\) | −1.68563 | + | 1.51775i | −0.0626893 | + | 0.0564457i | ||||
\(724\) | 9.22497 | + | 9.78131i | 0.342843 | + | 0.363519i | ||||
\(725\) | −4.44614 | − | 20.9174i | −0.165125 | − | 0.776854i | ||||
\(726\) | 1.00513 | − | 24.6151i | 0.0373039 | − | 0.913551i | ||||
\(727\) | −17.7328 | + | 39.8285i | −0.657673 | + | 1.47716i | 0.208813 | + | 0.977956i | \(0.433040\pi\) |
−0.866486 | + | 0.499201i | \(0.833627\pi\) | |||||||
\(728\) | −7.08566 | + | 7.59446i | −0.262612 | + | 0.281470i | ||||
\(729\) | 3.26730 | + | 10.0557i | 0.121011 | + | 0.372434i | ||||
\(730\) | 4.25770 | + | 1.08831i | 0.157584 | + | 0.0402800i | ||||
\(731\) | 4.30447 | − | 20.2510i | 0.159207 | − | 0.749009i | ||||
\(732\) | −9.36322 | − | 15.3857i | −0.346075 | − | 0.568670i | ||||
\(733\) | 12.6884 | − | 5.64923i | 0.468656 | − | 0.208659i | −0.158801 | − | 0.987311i | \(-0.550763\pi\) |
0.627456 | + | 0.778652i | \(0.284096\pi\) | |||||||
\(734\) | −15.9321 | + | 20.1459i | −0.588065 | + | 0.743597i | ||||
\(735\) | 0.951396 | + | 9.05193i | 0.0350928 | + | 0.333886i | ||||
\(736\) | 33.1847 | + | 3.30735i | 1.22321 | + | 0.121910i | ||||
\(737\) | −6.67999 | − | 0.702096i | −0.246061 | − | 0.0258620i | ||||
\(738\) | −11.8759 | + | 9.84617i | −0.437158 | + | 0.362442i | ||||
\(739\) | −13.4237 | + | 23.2506i | −0.493800 | + | 0.855287i | −0.999974 | − | 0.00714407i | \(-0.997726\pi\) |
0.506174 | + | 0.862431i | \(0.331059\pi\) | |||||||
\(740\) | −4.32807 | + | 14.4476i | −0.159103 | + | 0.531104i | ||||
\(741\) | 8.11855 | − | 9.01657i | 0.298243 | − | 0.331232i | ||||
\(742\) | −4.83900 | − | 0.709238i | −0.177645 | − | 0.0260370i | ||||
\(743\) | −27.5249 | −1.00979 | −0.504896 | − | 0.863180i | \(-0.668469\pi\) | ||||
−0.504896 | + | 0.863180i | \(0.668469\pi\) | |||||||
\(744\) | −2.42153 | − | 31.9199i | −0.0887776 | − | 1.17024i | ||||
\(745\) | 9.22321 | 0.337912 | ||||||||
\(746\) | 20.5439 | + | 3.01106i | 0.752164 | + | 0.110243i | ||||
\(747\) | −2.20048 | + | 2.44388i | −0.0805115 | + | 0.0894170i | ||||
\(748\) | −1.79076 | + | 5.97778i | −0.0654767 | + | 0.218569i | ||||
\(749\) | −2.61731 | + | 4.53332i | −0.0956345 | + | 0.165644i | ||||
\(750\) | −15.1379 | + | 12.5507i | −0.552759 | + | 0.458286i | ||||
\(751\) | 41.4646 | + | 4.35811i | 1.51307 | + | 0.159030i | 0.824383 | − | 0.566033i | \(-0.191522\pi\) |
0.688683 | + | 0.725062i | \(0.258189\pi\) | |||||||
\(752\) | 18.8160 | + | 5.16629i | 0.686151 | + | 0.188395i | ||||
\(753\) | −5.48727 | − | 52.2079i | −0.199967 | − | 1.90256i | ||||
\(754\) | 17.2492 | − | 21.8112i | 0.628178 | − | 0.794319i | ||||
\(755\) | −15.1122 | + | 6.72840i | −0.549990 | + | 0.244871i | ||||
\(756\) | 3.52005 | + | 5.78415i | 0.128023 | + | 0.210368i | ||||
\(757\) | 2.22064 | − | 10.4473i | 0.0807105 | − | 0.379713i | −0.919190 | − | 0.393814i | \(-0.871155\pi\) |
0.999901 | + | 0.0141012i | \(0.00448870\pi\) | |||||||
\(758\) | −37.3542 | − | 9.54808i | −1.35677 | − | 0.346802i | ||||
\(759\) | −5.77304 | − | 17.7676i | −0.209548 | − | 0.644923i | ||||
\(760\) | −2.16272 | − | 2.01782i | −0.0784500 | − | 0.0731941i | ||||
\(761\) | −4.75029 | + | 10.6693i | −0.172198 | + | 0.386763i | −0.978942 | − | 0.204138i | \(-0.934561\pi\) |
0.806744 | + | 0.590901i | \(0.201228\pi\) | |||||||
\(762\) | −0.932576 | + | 22.8382i | −0.0337837 | + | 0.827342i | ||||
\(763\) | −1.71418 | − | 8.06457i | −0.0620573 | − | 0.291957i | ||||
\(764\) | 4.85693 | + | 5.14984i | 0.175717 | + | 0.186315i | ||||
\(765\) | −1.21501 | + | 1.09400i | −0.0439287 | + | 0.0395536i | ||||
\(766\) | −32.4933 | + | 9.11002i | −1.17403 | + | 0.329158i | ||||
\(767\) | −16.0499 | + | 11.6609i | −0.579527 | + | 0.421051i | ||||
\(768\) | 30.8058 | + | 10.4311i | 1.11161 | + | 0.376399i | ||||
\(769\) | −20.7379 | − | 35.9191i | −0.747829 | − | 1.29528i | −0.948861 | − | 0.315693i | \(-0.897763\pi\) |
0.201032 | − | 0.979585i | \(-0.435570\pi\) | |||||||
\(770\) | 0.493011 | − | 1.33005i | 0.0177669 | − | 0.0479316i | ||||
\(771\) | 43.4119 | + | 31.5406i | 1.56344 | + | 1.13591i | ||||
\(772\) | −7.07396 | + | 16.9302i | −0.254597 | + | 0.609332i | ||||
\(773\) | −7.78872 | − | 2.53071i | −0.280141 | − | 0.0910232i | 0.165577 | − | 0.986197i | \(-0.447051\pi\) |
−0.445718 | + | 0.895174i | \(0.647051\pi\) | |||||||
\(774\) | 2.77938 | + | 16.3258i | 0.0999028 | + | 0.586818i | ||||
\(775\) | −24.4516 | + | 4.90954i | −0.878327 | + | 0.176356i | ||||
\(776\) | 23.1748 | + | 41.8342i | 0.831927 | + | 1.50176i | ||||
\(777\) | −5.85286 | + | 18.0133i | −0.209970 | + | 0.646222i | ||||
\(778\) | −15.4850 | + | 24.4585i | −0.555162 | + | 0.876881i | ||||
\(779\) | −8.20818 | + | 11.2976i | −0.294089 | + | 0.404778i | ||||
\(780\) | −11.8736 | − | 2.23853i | −0.425143 | − | 0.0801521i | ||||
\(781\) | 10.9506 | − | 6.32234i | 0.391844 | − | 0.226231i | ||||
\(782\) | −1.06568 | − | 16.6525i | −0.0381088 | − | 0.595491i | ||||
\(783\) | −10.6552 | − | 14.6657i | −0.380788 | − | 0.524109i | ||||
\(784\) | −17.4419 | − | 17.6583i | −0.622926 | − | 0.630655i | ||||
\(785\) | 0.512684 | + | 0.569394i | 0.0182985 | + | 0.0203225i | ||||
\(786\) | −23.4492 | + | 15.6160i | −0.836404 | + | 0.557004i | ||||
\(787\) | 42.5228 | − | 9.03849i | 1.51577 | − | 0.322187i | 0.626448 | − | 0.779463i | \(-0.284508\pi\) |
0.889325 | + | 0.457276i | \(0.151175\pi\) | |||||||
\(788\) | 2.42150 | + | 18.8418i | 0.0862624 | + | 0.671211i | ||||
\(789\) | 0.827440 | + | 0.368400i | 0.0294576 | + | 0.0131154i | ||||
\(790\) | 11.0750 | − | 5.80504i | 0.394029 | − | 0.206534i | ||||
\(791\) | 4.70123 | − | 1.52752i | 0.167157 | − | 0.0543124i | ||||
\(792\) | −0.433748 | − | 4.97270i | −0.0154126 | − | 0.176697i | ||||
\(793\) | −17.8475 | − | 3.79361i | −0.633784 | − | 0.134715i | ||||
\(794\) | 0.158480 | + | 0.399020i | 0.00562425 | + | 0.0141607i | ||||
\(795\) | −2.31406 | − | 5.19747i | −0.0820714 | − | 0.184335i | ||||
\(796\) | 9.11479 | + | 4.98537i | 0.323065 | + | 0.176702i | ||||
\(797\) | −9.71538 | + | 1.02113i | −0.344137 | + | 0.0361702i | −0.275020 | − | 0.961438i | \(-0.588685\pi\) |
−0.0691162 | + | 0.997609i | \(0.522018\pi\) | |||||||
\(798\) | −2.65674 | − | 2.59608i | −0.0940477 | − | 0.0919001i | ||||
\(799\) | 1.02053 | − | 9.70972i | 0.0361038 | − | 0.343505i | ||||
\(800\) | 5.13471 | − | 24.8129i | 0.181539 | − | 0.877270i | ||||
\(801\) | 12.7874 | + | 7.38282i | 0.451822 | + | 0.260859i | ||||
\(802\) | 0.659500 | + | 0.326494i | 0.0232878 | + | 0.0115289i | ||||
\(803\) | 4.98891 | + | 4.49204i | 0.176055 | + | 0.158521i | ||||
\(804\) | 17.5117 | − | 0.404542i | 0.617590 | − | 0.0142671i | ||||
\(805\) | 3.79304i | 0.133687i | ||||||||
\(806\) | −25.2083 | − | 20.4024i | −0.887924 | − | 0.718644i | ||||
\(807\) | 16.6589i | 0.586420i | ||||||||
\(808\) | −45.8911 | + | 8.90790i | −1.61444 | + | 0.313379i | ||||
\(809\) | 11.8009 | + | 10.6255i | 0.414896 | + | 0.373574i | 0.849979 | − | 0.526816i | \(-0.176614\pi\) |
−0.435083 | + | 0.900390i | \(0.643281\pi\) | |||||||
\(810\) | −5.03235 | + | 10.1651i | −0.176819 | + | 0.357164i | ||||
\(811\) | 17.3942 | + | 10.0425i | 0.610792 | + | 0.352641i | 0.773275 | − | 0.634071i | \(-0.218617\pi\) |
−0.162484 | + | 0.986711i | \(0.551950\pi\) | |||||||
\(812\) | −6.45656 | − | 5.54894i | −0.226581 | − | 0.194729i | ||||
\(813\) | 2.72522 | − | 25.9287i | 0.0955775 | − | 0.909359i | ||||
\(814\) | −16.1021 | + | 16.4784i | −0.564379 | + | 0.577568i | ||||
\(815\) | −6.52818 | + | 0.686140i | −0.228672 | + | 0.0240344i | ||||
\(816\) | 2.64480 | − | 16.0572i | 0.0925866 | − | 0.562116i | ||||
\(817\) | 6.09741 | + | 13.6950i | 0.213321 | + | 0.479127i | ||||
\(818\) | −7.25349 | + | 2.88090i | −0.253612 | + | 0.100728i | ||||
\(819\) | −4.06629 | − | 0.864316i | −0.142088 | − | 0.0302016i | ||||
\(820\) | 13.8605 | + | 1.13385i | 0.484030 | + | 0.0395957i | ||||
\(821\) | −35.2271 | + | 11.4460i | −1.22943 | + | 0.399467i | −0.850509 | − | 0.525961i | \(-0.823706\pi\) |
−0.378924 | + | 0.925428i | \(0.623706\pi\) | |||||||
\(822\) | 20.9204 | + | 39.9122i | 0.729681 | + | 1.39210i | ||||
\(823\) | −16.3791 | − | 7.29243i | −0.570938 | − | 0.254198i | 0.100899 | − | 0.994897i | \(-0.467828\pi\) |
−0.671838 | + | 0.740699i | \(0.734495\pi\) | |||||||
\(824\) | −26.7470 | + | 8.16975i | −0.931776 | + | 0.284607i | ||||
\(825\) | −13.8844 | + | 2.95121i | −0.483391 | + | 0.102748i | ||||
\(826\) | 3.36657 | + | 5.05528i | 0.117138 | + | 0.175896i | ||||
\(827\) | −27.2225 | − | 30.2336i | −0.946619 | − | 1.05133i | −0.998612 | − | 0.0526789i | \(-0.983224\pi\) |
0.0519930 | − | 0.998647i | \(-0.483443\pi\) | |||||||
\(828\) | 5.70912 | + | 12.0650i | 0.198406 | + | 0.419288i | ||||
\(829\) | −1.18026 | − | 1.62449i | −0.0409921 | − | 0.0564208i | 0.788029 | − | 0.615638i | \(-0.211102\pi\) |
−0.829021 | + | 0.559217i | \(0.811102\pi\) | |||||||
\(830\) | 2.95851 | − | 0.189331i | 0.102691 | − | 0.00657179i | ||||
\(831\) | −1.99988 | + | 1.15463i | −0.0693751 | + | 0.0400538i | ||||
\(832\) | 29.1004 | − | 15.4535i | 1.00887 | − | 0.535753i | ||||
\(833\) | −7.29967 | + | 10.0471i | −0.252919 | + | 0.348113i | ||||
\(834\) | −1.82380 | − | 1.15467i | −0.0631530 | − | 0.0399828i | ||||
\(835\) | −1.90069 | + | 5.84971i | −0.0657760 | + | 0.202438i | ||||
\(836\) | −1.49516 | − | 4.26394i | −0.0517113 | − | 0.147471i | ||||
\(837\) | −17.2428 | + | 12.2326i | −0.595998 | + | 0.422822i | ||||
\(838\) | 32.8604 | − | 5.59431i | 1.13514 | − | 0.193252i | ||||
\(839\) | 26.8819 | + | 8.73445i | 0.928065 | + | 0.301547i | 0.733771 | − | 0.679397i | \(-0.237758\pi\) |
0.194294 | + | 0.980943i | \(0.437758\pi\) | |||||||
\(840\) | −0.833074 | + | 3.60415i | −0.0287438 | + | 0.124355i | ||||
\(841\) | −5.02200 | − | 3.64870i | −0.173172 | − | 0.125817i | ||||
\(842\) | −41.7064 | − | 15.4594i | −1.43730 | − | 0.532765i | ||||
\(843\) | 2.73243 | + | 4.73271i | 0.0941099 | + | 0.163003i | ||||
\(844\) | −20.6686 | + | 4.89474i | −0.711441 | + | 0.168484i | ||||
\(845\) | −2.31367 | + | 1.68098i | −0.0795925 | + | 0.0578273i | ||||
\(846\) | 2.10825 | + | 7.51965i | 0.0724833 | + | 0.258531i | ||||
\(847\) | −5.67827 | + | 5.11273i | −0.195108 | + | 0.175676i | ||||
\(848\) | 13.7799 | + | 7.12854i | 0.473202 | + | 0.244795i | ||||
\(849\) | 14.1424 | + | 66.5347i | 0.485365 | + | 2.28346i | ||||
\(850\) | −12.6678 | − | 0.517278i | −0.434504 | − | 0.0177425i | ||||
\(851\) | 25.0582 | − | 56.2816i | 0.858984 | − | 1.92931i | ||||
\(852\) | −26.2229 | + | 19.9934i | −0.898381 | + | 0.684963i | ||||
\(853\) | −2.24442 | − | 6.90762i | −0.0768476 | − | 0.236513i | 0.905252 | − | 0.424875i | \(-0.139682\pi\) |
−0.982100 | + | 0.188363i | \(0.939682\pi\) | |||||||
\(854\) | −1.38339 | + | 5.41214i | −0.0473387 | + | 0.185199i | ||||
\(855\) | 0.246136 | − | 1.15798i | 0.00841767 | − | 0.0396020i | ||||
\(856\) | 12.5352 | − | 10.8910i | 0.428445 | − | 0.372245i | ||||
\(857\) | 38.1850 | − | 17.0011i | 1.30438 | − | 0.580745i | 0.367375 | − | 0.930073i | \(-0.380257\pi\) |
0.937001 | + | 0.349328i | \(0.113590\pi\) | |||||||
\(858\) | −14.4776 | − | 11.4495i | −0.494258 | − | 0.390879i | ||||
\(859\) | −2.79256 | − | 26.5695i | −0.0952810 | − | 0.906538i | −0.932864 | − | 0.360228i | \(-0.882699\pi\) |
0.837583 | − | 0.546310i | \(-0.183968\pi\) | |||||||
\(860\) | 8.49377 | − | 12.2773i | 0.289635 | − | 0.418651i | ||||
\(861\) | 17.3688 | + | 1.82553i | 0.591927 | + | 0.0622141i | ||||
\(862\) | −29.3057 | − | 35.3470i | −0.998158 | − | 1.20392i | ||||
\(863\) | 6.75022 | − | 11.6917i | 0.229780 | − | 0.397991i | −0.727963 | − | 0.685617i | \(-0.759533\pi\) |
0.957743 | + | 0.287626i | \(0.0928659\pi\) | |||||||
\(864\) | −4.57887 | − | 20.9858i | −0.155776 | − | 0.713951i | ||||
\(865\) | −1.74824 | + | 1.94162i | −0.0594420 | + | 0.0660170i | ||||
\(866\) | 4.36097 | − | 29.7541i | 0.148192 | − | 1.01108i | ||||
\(867\) | 26.4140 | 0.897066 | ||||||||
\(868\) | −6.55593 | + | 7.45632i | −0.222523 | + | 0.253084i | ||||
\(869\) | 19.1015 | 0.647974 | ||||||||
\(870\) | 1.43620 | − | 9.79893i | 0.0486918 | − | 0.332215i | ||||
\(871\) | 11.8740 | − | 13.1874i | 0.402334 | − | 0.446837i | ||||
\(872\) | −3.19419 | + | 25.9586i | −0.108169 | + | 0.879069i | ||||
\(873\) | −9.57056 | + | 16.5767i | −0.323914 | + | 0.561036i | ||||
\(874\) | 7.71169 | + | 9.30143i | 0.260852 | + | 0.314625i | ||||
\(875\) | 6.06552 | + | 0.637512i | 0.205052 | + | 0.0215518i | ||||
\(876\) | −14.3974 | − | 9.96057i | −0.486444 | − | 0.336536i | ||||
\(877\) | 1.56395 | + | 14.8800i | 0.0528109 | + | 0.502462i | 0.988672 | + | 0.150093i | \(0.0479572\pi\) |
−0.935861 | + | 0.352369i | \(0.885376\pi\) | |||||||
\(878\) | −10.2894 | − | 8.13724i | −0.347250 | − | 0.274619i | ||||
\(879\) | −29.8412 | + | 13.2862i | −1.00652 | + | 0.448132i | ||||
\(880\) | −2.85331 | + | 3.47946i | −0.0961851 | + | 0.117293i | ||||
\(881\) | −2.65285 | + | 12.4807i | −0.0893767 | + | 0.420484i | 0.910597 | + | 0.413294i | \(0.135622\pi\) |
−0.999974 | + | 0.00718983i | \(0.997711\pi\) | |||||||
\(882\) | 2.46011 | − | 9.62450i | 0.0828362 | − | 0.324074i | ||||
\(883\) | 4.16711 | + | 12.8251i | 0.140234 | + | 0.431597i | 0.996367 | − | 0.0851583i | \(-0.0271396\pi\) |
−0.856133 | + | 0.516756i | \(0.827140\pi\) | |||||||
\(884\) | −9.99589 | − | 13.1104i | −0.336198 | − | 0.440950i | ||||
\(885\) | −2.87381 | + | 6.45467i | −0.0966019 | + | 0.216971i | ||||
\(886\) | 15.5789 | + | 0.636149i | 0.523384 | + | 0.0213718i | ||||
\(887\) | 0.577797 | + | 2.71832i | 0.0194005 | + | 0.0912723i | 0.986783 | − | 0.162049i | \(-0.0518103\pi\) |
−0.967382 | + | 0.253321i | \(0.918477\pi\) | |||||||
\(888\) | 36.1716 | − | 47.9753i | 1.21384 | − | 1.60994i | ||||
\(889\) | 5.26838 | − | 4.74367i | 0.176696 | − | 0.159098i | ||||
\(890\) | −3.59335 | − | 12.8166i | −0.120449 | − | 0.429615i | ||||
\(891\) | −14.0179 | + | 10.1846i | −0.469616 | + | 0.341196i | ||||
\(892\) | 3.78700 | + | 15.9910i | 0.126798 | + | 0.535418i | ||||
\(893\) | 3.53470 | + | 6.12229i | 0.118284 | + | 0.204874i | ||||
\(894\) | −34.4526 | − | 12.7706i | −1.15227 | − | 0.427113i | ||||
\(895\) | −9.59669 | − | 6.97240i | −0.320782 | − | 0.233062i | ||||
\(896\) | −4.36370 | − | 9.09478i | −0.145781 | − | 0.303835i | ||||
\(897\) | 46.9410 | + | 15.2520i | 1.56731 | + | 0.509251i | ||||
\(898\) | 29.1508 | − | 4.96277i | 0.972774 | − | 0.165610i | ||||
\(899\) | 15.8659 | − | 21.3270i | 0.529156 | − | 0.711295i | ||||
\(900\) | 9.57018 | − | 3.35581i | 0.319006 | − | 0.111860i | ||||
\(901\) | 2.39884 | − | 7.38289i | 0.0799171 | − | 0.245960i | ||||
\(902\) | 17.9494 | + | 11.3639i | 0.597648 | + | 0.378377i | ||||
\(903\) | 11.0199 | − | 15.1676i | 0.366720 | − | 0.504746i | ||||
\(904\) | −15.6785 | − | 0.277760i | −0.521460 | − | 0.00923816i | ||||
\(905\) | 4.20117 | − | 2.42554i | 0.139651 | − | 0.0806278i | ||||
\(906\) | 65.7669 | − | 4.20879i | 2.18496 | − | 0.139828i | ||||
\(907\) | 23.7740 | + | 32.7221i | 0.789401 | + | 1.08652i | 0.994182 | + | 0.107710i | \(0.0343518\pi\) |
−0.204781 | + | 0.978808i | \(0.565648\pi\) | |||||||
\(908\) | 30.8607 | − | 14.6032i | 1.02415 | − | 0.484624i | ||||
\(909\) | −12.5196 | − | 13.9044i | −0.415247 | − | 0.461179i | ||||
\(910\) | 2.07722 | + | 3.11917i | 0.0688591 | + | 0.103400i | ||||
\(911\) | −15.0491 | + | 3.19878i | −0.498599 | + | 0.105980i | −0.450345 | − | 0.892855i | \(-0.648699\pi\) |
−0.0482538 | + | 0.998835i | \(0.515366\pi\) | |||||||
\(912\) | 5.28476 | + | 10.5320i | 0.174996 | + | 0.348748i | ||||
\(913\) | 4.13718 | + | 1.84199i | 0.136921 | + | 0.0609610i | ||||
\(914\) | 15.7846 | + | 30.1141i | 0.522107 | + | 0.996085i | ||||
\(915\) | −6.18030 | + | 2.00810i | −0.204315 | + | 0.0663858i | ||||
\(916\) | 1.49874 | − | 18.3211i | 0.0495199 | − | 0.605345i | ||||
\(917\) | 8.54709 | + | 1.81674i | 0.282250 | + | 0.0599940i | ||||
\(918\) | −9.98846 | + | 3.96716i | −0.329668 | + | 0.130936i | ||||
\(919\) | −12.5138 | − | 28.1064i | −0.412791 | − | 0.927144i | −0.993584 | − | 0.113093i | \(-0.963924\pi\) |
0.580793 | − | 0.814051i | \(-0.302742\pi\) | |||||||
\(920\) | 3.92036 | − | 11.3759i | 0.129251 | − | 0.375053i | ||||
\(921\) | −63.1848 | + | 6.64099i | −2.08201 | + | 0.218828i | ||||
\(922\) | −28.4349 | + | 29.0994i | −0.936454 | + | 0.958337i | ||||
\(923\) | −3.49193 | + | 33.2235i | −0.114938 | + | 1.09356i | ||||
\(924\) | −3.68321 | + | 4.28567i | −0.121169 | + | 0.140988i | ||||
\(925\) | −40.5383 | − | 23.4048i | −1.33289 | − | 0.769545i | ||||
\(926\) | 18.4837 | − | 37.3360i | 0.607411 | − | 1.22694i | ||||
\(927\) | −8.31832 | − | 7.48985i | −0.273210 | − | 0.245999i | ||||
\(928\) | 13.6290 | + | 23.3154i | 0.447395 | + | 0.765366i | ||||
\(929\) | 29.8405i | 0.979036i | 0.871993 | + | 0.489518i | \(0.162827\pi\) | ||||
−0.871993 | + | 0.489518i | \(0.837173\pi\) | |||||||
\(930\) | −11.4082 | − | 1.80383i | −0.374090 | − | 0.0591501i | ||||
\(931\) | − | 8.99240i | − | 0.294714i | ||||||
\(932\) | −0.0282234 | − | 1.22172i | −0.000924487 | − | 0.0400188i | ||||
\(933\) | 20.6782 | + | 18.6187i | 0.676973 | + | 0.609549i | ||||
\(934\) | 49.5964 | + | 24.5533i | 1.62284 | + | 0.803410i | ||||
\(935\) | 1.94986 | + | 1.12575i | 0.0637672 | + | 0.0368160i | ||||
\(936\) | 11.3021 | + | 6.79500i | 0.369421 | + | 0.222101i | ||||
\(937\) | −1.05977 | + | 10.0830i | −0.0346211 | + | 0.329398i | 0.963479 | + | 0.267784i | \(0.0862914\pi\) |
−0.998100 | + | 0.0616137i | \(0.980375\pi\) | |||||||
\(938\) | −3.88567 | − | 3.79695i | −0.126872 | − | 0.123975i | ||||
\(939\) | 25.0725 | − | 2.63522i | 0.818209 | − | 0.0859972i | ||||
\(940\) | 3.37833 | − | 6.17662i | 0.110189 | − | 0.201459i | ||||
\(941\) | −5.97326 | − | 13.4162i | −0.194723 | − | 0.437354i | 0.789625 | − | 0.613589i | \(-0.210275\pi\) |
−0.984348 | + | 0.176235i | \(0.943608\pi\) | |||||||
\(942\) | −1.12670 | − | 2.83680i | −0.0367100 | − | 0.0924279i | ||||
\(943\) | −55.5661 | − | 11.8109i | −1.80948 | − | 0.384617i | ||||
\(944\) | −4.87190 | − | 18.6412i | −0.158567 | − | 0.606718i | ||||
\(945\) | 2.32345 | − | 0.754935i | 0.0755819 | − | 0.0245580i | ||||
\(946\) | 20.1992 | − | 10.5876i | 0.656732 | − | 0.344232i | ||||
\(947\) | 46.5211 | + | 20.7125i | 1.51173 | + | 0.673066i | 0.984296 | − | 0.176528i | \(-0.0564867\pi\) |
0.527436 | + | 0.849595i | \(0.323153\pi\) | |||||||
\(948\) | −49.4074 | + | 6.34972i | −1.60468 | + | 0.206229i | ||||
\(949\) | −17.3484 | + | 3.68752i | −0.563154 | + | 0.119702i | ||||
\(950\) | 7.64097 | − | 5.08851i | 0.247906 | − | 0.165093i | ||||
\(951\) | −22.4260 | − | 24.9066i | −0.727213 | − | 0.807652i | ||||
\(952\) | −4.13530 | + | 2.89396i | −0.134026 | + | 0.0937938i | ||||
\(953\) | 12.1474 | + | 16.7194i | 0.393492 | + | 0.541595i | 0.959096 | − | 0.283082i | \(-0.0913569\pi\) |
−0.565604 | + | 0.824677i | \(0.691357\pi\) | |||||||
\(954\) | 0.396570 | + | 6.19682i | 0.0128394 | + | 0.200630i | ||||
\(955\) | 2.21190 | − | 1.27704i | 0.0715755 | − | 0.0413242i | ||||
\(956\) | −8.39106 | + | 44.5080i | −0.271386 | + | 1.43949i | ||||
\(957\) | 8.89257 | − | 12.2396i | 0.287456 | − | 0.395649i | ||||
\(958\) | 26.1444 | − | 41.2952i | 0.844688 | − | 1.33419i | ||||
\(959\) | 4.31896 | − | 13.2924i | 0.139467 | − | 0.429234i | ||||
\(960\) | 6.22365 | − | 9.94838i | 0.200868 | − | 0.321083i | ||||
\(961\) | −24.6618 | − | 18.7829i | −0.795542 | − | 0.605898i | ||||
\(962\) | −10.2156 | − | 60.0055i | −0.329365 | − | 1.93465i | ||||
\(963\) | 6.32088 | + | 2.05378i | 0.203688 | + | 0.0661821i | ||||
\(964\) | −2.05918 | − | 0.860388i | −0.0663218 | − | 0.0277112i | ||||
\(965\) | 5.35591 | + | 3.89130i | 0.172413 | + | 0.125265i | ||||
\(966\) | 5.25191 | − | 14.1686i | 0.168977 | − | 0.455868i | ||||
\(967\) | 6.70742 | + | 11.6176i | 0.215696 | + | 0.373597i | 0.953488 | − | 0.301432i | \(-0.0974646\pi\) |
−0.737792 | + | 0.675029i | \(0.764131\pi\) | |||||||
\(968\) | 22.3144 | − | 9.46502i | 0.717211 | − | 0.304217i | ||||
\(969\) | 4.76994 | − | 3.46557i | 0.153233 | − | 0.111330i | ||||
\(970\) | 16.6146 | − | 4.65816i | 0.533462 | − | 0.149564i | ||||
\(971\) | −13.9570 | + | 12.5669i | −0.447900 | + | 0.403291i | −0.861974 | − | 0.506952i | \(-0.830772\pi\) |
0.414074 | + | 0.910243i | \(0.364106\pi\) | |||||||
\(972\) | 16.2986 | − | 15.3716i | 0.522779 | − | 0.493044i | ||||
\(973\) | 0.139196 | + | 0.654868i | 0.00446243 | + | 0.0209941i | ||||
\(974\) | −0.979658 | + | 23.9913i | −0.0313903 | + | 0.768729i | ||||
\(975\) | 15.2531 | − | 34.2590i | 0.488490 | − | 1.09717i | ||||
\(976\) | 9.74281 | − | 14.8020i | 0.311860 | − | 0.473801i | ||||
\(977\) | −9.23682 | − | 28.4280i | −0.295512 | − | 0.909493i | −0.983049 | − | 0.183343i | \(-0.941308\pi\) |
0.687537 | − | 0.726149i | \(-0.258692\pi\) | |||||||
\(978\) | 25.3356 | + | 6.47601i | 0.810143 | + | 0.207080i | ||||
\(979\) | 4.22765 | − | 19.8895i | 0.135116 | − | 0.635672i | ||||
\(980\) | −7.64994 | + | 4.65551i | −0.244368 | + | 0.148715i | ||||
\(981\) | −9.56297 | + | 4.25771i | −0.305322 | + | 0.135938i | ||||
\(982\) | 4.19601 | − | 5.30578i | 0.133900 | − | 0.169314i | ||||
\(983\) | 2.01446 | + | 19.1663i | 0.0642512 | + | 0.611309i | 0.978513 | + | 0.206185i | \(0.0661050\pi\) |
−0.914262 | + | 0.405124i | \(0.867228\pi\) | |||||||
\(984\) | −50.2049 | − | 23.4269i | −1.60047 | − | 0.746822i | ||||
\(985\) | 6.81655 | + | 0.716448i | 0.217193 | + | 0.0228279i | ||||
\(986\) | 10.4027 | − | 8.62472i | 0.331288 | − | 0.274667i | ||||
\(987\) | 4.42059 | − | 7.65669i | 0.140709 | − | 0.243715i | ||||
\(988\) | 11.4355 | + | 3.42572i | 0.363810 | + | 0.108987i | ||||
\(989\) | −40.8057 | + | 45.3193i | −1.29754 | + | 1.44107i | ||||
\(990\) | −1.78194 | − | 0.261175i | −0.0566339 | − | 0.00830068i | ||||
\(991\) | −5.12651 | −0.162849 | −0.0814244 | − | 0.996680i | \(-0.525947\pi\) | ||||
−0.0814244 | + | 0.996680i | \(0.525947\pi\) | |||||||
\(992\) | 27.3689 | − | 15.5867i | 0.868963 | − | 0.494877i | ||||
\(993\) | 50.9997 | 1.61843 | ||||||||
\(994\) | 10.1194 | + | 1.48317i | 0.320967 | + | 0.0470433i | ||||
\(995\) | 2.50819 | − | 2.78562i | 0.0795148 | − | 0.0883102i | ||||
\(996\) | −11.3134 | − | 3.38916i | −0.358480 | − | 0.107390i | ||||
\(997\) | −3.28028 | + | 5.68162i | −0.103888 | + | 0.179939i | −0.913283 | − | 0.407325i | \(-0.866462\pi\) |
0.809396 | + | 0.587264i | \(0.199795\pi\) | |||||||
\(998\) | 6.58648 | − | 5.46076i | 0.208491 | − | 0.172857i | ||||
\(999\) | −39.4630 | − | 4.14773i | −1.24855 | − | 0.131228i |
(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 | 124.2.p.a.79.1 | yes | 112 | |
4.3 | odd | 2 | inner | 124.2.p.a.79.13 | yes | 112 | |
31.11 | odd | 30 | inner | 124.2.p.a.11.13 | yes | 112 | |
124.11 | even | 30 | inner | 124.2.p.a.11.1 | ✓ | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.2.p.a.11.1 | ✓ | 112 | 124.11 | even | 30 | inner | |
124.2.p.a.11.13 | yes | 112 | 31.11 | odd | 30 | inner | |
124.2.p.a.79.1 | yes | 112 | 1.1 | even | 1 | trivial | |
124.2.p.a.79.13 | yes | 112 | 4.3 | odd | 2 | inner |