Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.108 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.108 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.94586 | − | 0.462213i | 0.972928 | − | 0.231106i | ||||
\(3\) | 0.146011 | − | 2.99644i | 0.0486702 | − | 0.998815i | ||||
\(4\) | 3.57272 | − | 1.79880i | 0.893180 | − | 0.449700i | ||||
\(5\) | 2.39489 | + | 4.38913i | 0.478978 | + | 0.877827i | ||||
\(6\) | −1.10088 | − | 5.89814i | −0.183480 | − | 0.983023i | ||||
\(7\) | 4.78889 | − | 4.78889i | 0.684127 | − | 0.684127i | −0.276800 | − | 0.960927i | \(-0.589274\pi\) |
0.960927 | + | 0.276800i | \(0.0892740\pi\) | |||||||
\(8\) | 6.12057 | − | 5.15156i | 0.765071 | − | 0.643946i | ||||
\(9\) | −8.95736 | − | 0.875026i | −0.995262 | − | 0.0972251i | ||||
\(10\) | 6.68883 | + | 7.43368i | 0.668883 | + | 0.743368i | ||||
\(11\) | 0.198144 | + | 0.143960i | 0.0180131 | + | 0.0130872i | 0.596755 | − | 0.802423i | \(-0.296456\pi\) |
−0.578742 | + | 0.815510i | \(0.696456\pi\) | |||||||
\(12\) | −4.86835 | − | 10.9681i | −0.405696 | − | 0.914008i | ||||
\(13\) | 0.392471 | − | 2.47797i | 0.0301901 | − | 0.190613i | −0.967984 | − | 0.251011i | \(-0.919237\pi\) |
0.998174 | + | 0.0603981i | \(0.0192370\pi\) | |||||||
\(14\) | 7.10501 | − | 11.5320i | 0.507501 | − | 0.823713i | ||||
\(15\) | 13.5015 | − | 6.53530i | 0.900098 | − | 0.435687i | ||||
\(16\) | 9.52864 | − | 12.8532i | 0.595540 | − | 0.803326i | ||||
\(17\) | 3.53347 | + | 6.93482i | 0.207851 | + | 0.407931i | 0.971272 | − | 0.237970i | \(-0.0764820\pi\) |
−0.763421 | + | 0.645901i | \(0.776482\pi\) | |||||||
\(18\) | −17.8342 | + | 2.43753i | −0.990788 | + | 0.135418i | ||||
\(19\) | −2.59328 | + | 7.98129i | −0.136488 | + | 0.420068i | −0.995819 | − | 0.0913532i | \(-0.970881\pi\) |
0.859330 | + | 0.511421i | \(0.170881\pi\) | |||||||
\(20\) | 16.4515 | + | 11.3732i | 0.822573 | + | 0.568660i | ||||
\(21\) | −13.6504 | − | 15.0489i | −0.650020 | − | 0.716613i | ||||
\(22\) | 0.452099 | + | 0.188541i | 0.0205500 | + | 0.00857002i | ||||
\(23\) | 4.23444 | − | 0.670670i | 0.184106 | − | 0.0291596i | −0.0637004 | − | 0.997969i | \(-0.520290\pi\) |
0.247807 | + | 0.968809i | \(0.420290\pi\) | |||||||
\(24\) | −14.5427 | − | 19.0921i | −0.605946 | − | 0.795506i | ||||
\(25\) | −13.5290 | + | 21.0230i | −0.541159 | + | 0.840920i | ||||
\(26\) | −0.381655 | − | 5.00317i | −0.0146790 | − | 0.192430i | ||||
\(27\) | −3.92984 | + | 26.7125i | −0.145550 | + | 0.989351i | ||||
\(28\) | 8.49510 | − | 25.7236i | 0.303396 | − | 0.918701i | ||||
\(29\) | −8.46069 | − | 26.0393i | −0.291748 | − | 0.897908i | −0.984294 | − | 0.176535i | \(-0.943511\pi\) |
0.692546 | − | 0.721373i | \(-0.256489\pi\) | |||||||
\(30\) | 23.2512 | − | 18.9573i | 0.775041 | − | 0.631911i | ||||
\(31\) | −30.0494 | − | 9.76364i | −0.969335 | − | 0.314956i | −0.218787 | − | 0.975773i | \(-0.570210\pi\) |
−0.750547 | + | 0.660817i | \(0.770210\pi\) | |||||||
\(32\) | 12.6004 | − | 29.4148i | 0.393764 | − | 0.919212i | ||||
\(33\) | 0.460298 | − | 0.572707i | 0.0139484 | − | 0.0173547i | ||||
\(34\) | 10.0810 | + | 11.8610i | 0.296500 | + | 0.348852i | ||||
\(35\) | 32.4880 | + | 9.55020i | 0.928227 | + | 0.272863i | ||||
\(36\) | −33.5761 | + | 12.9863i | −0.932670 | + | 0.360730i | ||||
\(37\) | 42.6977 | + | 6.76266i | 1.15399 | + | 0.182775i | 0.703962 | − | 0.710238i | \(-0.251413\pi\) |
0.450032 | + | 0.893013i | \(0.351413\pi\) | |||||||
\(38\) | −1.35709 | + | 16.7291i | −0.0357130 | + | 0.440239i | ||||
\(39\) | −7.36778 | − | 1.53783i | −0.188918 | − | 0.0394315i | ||||
\(40\) | 37.2690 | + | 14.5266i | 0.931725 | + | 0.363164i | ||||
\(41\) | 3.16860 | + | 4.36120i | 0.0772829 | + | 0.106371i | 0.845908 | − | 0.533328i | \(-0.179059\pi\) |
−0.768625 | + | 0.639699i | \(0.779059\pi\) | |||||||
\(42\) | −33.5175 | − | 22.9736i | −0.798037 | − | 0.546990i | ||||
\(43\) | −54.3116 | − | 54.3116i | −1.26306 | − | 1.26306i | −0.949602 | − | 0.313458i | \(-0.898512\pi\) |
−0.313458 | − | 0.949602i | \(-0.601488\pi\) | |||||||
\(44\) | 0.966866 | + | 0.157907i | 0.0219742 | + | 0.00358879i | ||||
\(45\) | −17.6113 | − | 41.4106i | −0.391362 | − | 0.920237i | ||||
\(46\) | 7.92963 | − | 3.26224i | 0.172383 | − | 0.0709183i | ||||
\(47\) | −31.7568 | + | 62.3262i | −0.675677 | + | 1.32609i | 0.257362 | + | 0.966315i | \(0.417147\pi\) |
−0.933039 | + | 0.359775i | \(0.882853\pi\) | |||||||
\(48\) | −37.1227 | − | 30.4287i | −0.773389 | − | 0.633932i | ||||
\(49\) | 3.13305i | 0.0639399i | ||||||||
\(50\) | −16.6084 | + | 47.1610i | −0.332167 | + | 0.943221i | ||||
\(51\) | 21.2957 | − | 9.57528i | 0.417563 | − | 0.187751i | ||||
\(52\) | −3.05518 | − | 9.55905i | −0.0587534 | − | 0.183828i | ||||
\(53\) | −32.1388 | + | 63.0759i | −0.606392 | + | 1.19011i | 0.359980 | + | 0.932960i | \(0.382784\pi\) |
−0.966371 | + | 0.257151i | \(0.917216\pi\) | |||||||
\(54\) | 4.69995 | + | 53.7951i | 0.0870361 | + | 0.996205i | ||||
\(55\) | −0.157326 | + | 1.21445i | −0.00286047 | + | 0.0220808i | ||||
\(56\) | 4.64046 | − | 53.9810i | 0.0828654 | − | 0.963947i | ||||
\(57\) | 23.5368 | + | 8.93597i | 0.412927 | + | 0.156771i | ||||
\(58\) | −28.4990 | − | 46.7582i | −0.491362 | − | 0.806176i | ||||
\(59\) | 53.1168 | + | 73.1091i | 0.900285 | + | 1.23914i | 0.970377 | + | 0.241596i | \(0.0776709\pi\) |
−0.0700914 | + | 0.997541i | \(0.522329\pi\) | |||||||
\(60\) | 36.4813 | − | 47.6353i | 0.608021 | − | 0.793921i | ||||
\(61\) | −2.05179 | − | 1.49071i | −0.0336359 | − | 0.0244379i | 0.570840 | − | 0.821061i | \(-0.306618\pi\) |
−0.604476 | + | 0.796623i | \(0.706618\pi\) | |||||||
\(62\) | −62.9847 | − | 5.10943i | −1.01588 | − | 0.0824101i | ||||
\(63\) | −47.0862 | + | 38.7054i | −0.747400 | + | 0.614372i | ||||
\(64\) | 10.9228 | − | 63.0610i | 0.170668 | − | 0.985329i | ||||
\(65\) | 11.8161 | − | 4.21185i | 0.181785 | − | 0.0647978i | ||||
\(66\) | 0.630963 | − | 1.32716i | 0.00956004 | − | 0.0201085i | ||||
\(67\) | 39.7012 | + | 77.9180i | 0.592555 | + | 1.16295i | 0.971390 | + | 0.237491i | \(0.0763249\pi\) |
−0.378835 | + | 0.925464i | \(0.623675\pi\) | |||||||
\(68\) | 25.0984 | + | 18.4202i | 0.369095 | + | 0.270885i | ||||
\(69\) | −1.39135 | − | 12.7862i | −0.0201645 | − | 0.185307i | ||||
\(70\) | 67.6311 | + | 3.56697i | 0.966159 | + | 0.0509568i | ||||
\(71\) | −6.51351 | − | 20.0465i | −0.0917396 | − | 0.282345i | 0.894651 | − | 0.446766i | \(-0.147424\pi\) |
−0.986390 | + | 0.164421i | \(0.947424\pi\) | |||||||
\(72\) | −59.3319 | + | 40.7888i | −0.824054 | + | 0.566511i | ||||
\(73\) | 94.4639 | − | 14.9616i | 1.29403 | − | 0.204954i | 0.528817 | − | 0.848736i | \(-0.322636\pi\) |
0.765209 | + | 0.643782i | \(0.222636\pi\) | |||||||
\(74\) | 86.2095 | − | 6.57628i | 1.16499 | − | 0.0888687i | ||||
\(75\) | 61.0189 | + | 43.6084i | 0.813585 | + | 0.581446i | ||||
\(76\) | 5.09169 | + | 33.1797i | 0.0669960 | + | 0.436575i | ||||
\(77\) | 1.63830 | − | 0.259480i | 0.0212766 | − | 0.00336988i | ||||
\(78\) | −15.0475 | + | 0.413091i | −0.192916 | + | 0.00529604i | ||||
\(79\) | 39.6018 | + | 121.882i | 0.501289 | + | 1.54281i | 0.806921 | + | 0.590659i | \(0.201132\pi\) |
−0.305632 | + | 0.952150i | \(0.598868\pi\) | |||||||
\(80\) | 79.2345 | + | 11.0404i | 0.990432 | + | 0.138005i | ||||
\(81\) | 79.4687 | + | 15.6758i | 0.981095 | + | 0.193529i | ||||
\(82\) | 8.18145 | + | 7.02171i | 0.0997737 | + | 0.0856306i | ||||
\(83\) | 34.9442 | + | 68.5818i | 0.421014 | + | 0.826287i | 0.999941 | + | 0.0109071i | \(0.00347191\pi\) |
−0.578926 | + | 0.815380i | \(0.696528\pi\) | |||||||
\(84\) | −75.8390 | − | 29.2110i | −0.902845 | − | 0.347750i | ||||
\(85\) | −21.9756 | + | 32.1170i | −0.258536 | + | 0.377847i | ||||
\(86\) | −130.786 | − | 80.5791i | −1.52077 | − | 0.936966i | ||||
\(87\) | −79.2608 | + | 21.5500i | −0.911044 | + | 0.247701i | ||||
\(88\) | 1.95437 | − | 0.139634i | 0.0222087 | − | 0.00158675i | ||||
\(89\) | −43.8599 | − | 31.8661i | −0.492807 | − | 0.358046i | 0.313455 | − | 0.949603i | \(-0.398513\pi\) |
−0.806263 | + | 0.591557i | \(0.798513\pi\) | |||||||
\(90\) | −53.4096 | − | 72.4390i | −0.593440 | − | 0.804878i | ||||
\(91\) | −9.98721 | − | 13.7462i | −0.109750 | − | 0.151057i | ||||
\(92\) | 13.9221 | − | 10.0130i | 0.151327 | − | 0.108837i | ||||
\(93\) | −33.6437 | + | 88.6157i | −0.361760 | + | 0.952857i | ||||
\(94\) | −32.9862 | + | 135.956i | −0.350917 | + | 1.44634i | ||||
\(95\) | −41.2416 | + | 7.73209i | −0.434122 | + | 0.0813904i | ||||
\(96\) | −86.2999 | − | 42.0514i | −0.898958 | − | 0.438035i | ||||
\(97\) | 7.39099 | − | 14.5056i | 0.0761958 | − | 0.149543i | −0.849766 | − | 0.527160i | \(-0.823257\pi\) |
0.925962 | + | 0.377618i | \(0.123257\pi\) | |||||||
\(98\) | 1.44814 | + | 6.09648i | 0.0147769 | + | 0.0622089i | ||||
\(99\) | −1.64888 | − | 1.46288i | −0.0166553 | − | 0.0147766i | ||||
\(100\) | −10.5191 | + | 99.4452i | −0.105191 | + | 0.994452i | ||||
\(101\) | − | 123.371i | − | 1.22150i | −0.791824 | − | 0.610749i | \(-0.790868\pi\) | ||
0.791824 | − | 0.610749i | \(-0.209132\pi\) | |||||||
\(102\) | 37.0126 | − | 28.4753i | 0.362869 | − | 0.279169i | ||||
\(103\) | −13.5952 | + | 26.6822i | −0.131993 | + | 0.259050i | −0.947538 | − | 0.319643i | \(-0.896437\pi\) |
0.815545 | + | 0.578693i | \(0.196437\pi\) | |||||||
\(104\) | −10.3633 | − | 17.1884i | −0.0996467 | − | 0.165273i | ||||
\(105\) | 33.3602 | − | 95.9539i | 0.317717 | − | 0.913847i | ||||
\(106\) | −33.3830 | + | 137.592i | −0.314934 | + | 1.29803i | ||||
\(107\) | −99.9915 | − | 99.9915i | −0.934500 | − | 0.934500i | 0.0634831 | − | 0.997983i | \(-0.479779\pi\) |
−0.997983 | + | 0.0634831i | \(0.979779\pi\) | |||||||
\(108\) | 34.0102 | + | 102.505i | 0.314909 | + | 0.949122i | ||||
\(109\) | 33.7290 | + | 46.4240i | 0.309440 | + | 0.425908i | 0.935207 | − | 0.354102i | \(-0.115214\pi\) |
−0.625766 | + | 0.780011i | \(0.715214\pi\) | |||||||
\(110\) | 0.255199 | + | 2.43586i | 0.00231999 | + | 0.0221442i | ||||
\(111\) | 26.4983 | − | 126.954i | 0.238723 | − | 1.14373i | ||||
\(112\) | −15.9210 | − | 107.184i | −0.142152 | − | 0.957002i | ||||
\(113\) | −115.915 | − | 18.3592i | −1.02580 | − | 0.162471i | −0.379211 | − | 0.925310i | \(-0.623805\pi\) |
−0.646588 | + | 0.762839i | \(0.723805\pi\) | |||||||
\(114\) | 49.9297 | + | 6.50908i | 0.437979 | + | 0.0570972i | ||||
\(115\) | 13.0847 | + | 16.9794i | 0.113780 | + | 0.147647i | ||||
\(116\) | −77.0673 | − | 77.8121i | −0.664373 | − | 0.670794i | ||||
\(117\) | −5.68379 | + | 21.8526i | −0.0485794 | + | 0.186775i | ||||
\(118\) | 137.150 | + | 117.708i | 1.16229 | + | 0.997530i | ||||
\(119\) | 50.1315 | + | 16.2887i | 0.421273 | + | 0.136880i | ||||
\(120\) | 48.9697 | − | 109.553i | 0.408081 | − | 0.912946i | ||||
\(121\) | −37.3725 | − | 115.021i | −0.308864 | − | 0.950585i | ||||
\(122\) | −4.68152 | − | 1.95235i | −0.0383731 | − | 0.0160029i | ||||
\(123\) | 13.5308 | − | 8.85775i | 0.110006 | − | 0.0720143i | ||||
\(124\) | −124.921 | + | 19.1701i | −1.00743 | + | 0.154598i | ||||
\(125\) | −124.673 | − | 9.03266i | −0.997386 | − | 0.0722613i | ||||
\(126\) | −73.7329 | + | 97.0791i | −0.585182 | + | 0.770469i | ||||
\(127\) | 143.563 | − | 22.7381i | 1.13041 | − | 0.179040i | 0.436919 | − | 0.899501i | \(-0.356070\pi\) |
0.693496 | + | 0.720461i | \(0.256070\pi\) | |||||||
\(128\) | −7.89348 | − | 127.756i | −0.0616678 | − | 0.998097i | ||||
\(129\) | −170.672 | + | 154.812i | −1.32304 | + | 1.20009i | ||||
\(130\) | 21.0456 | − | 13.6572i | 0.161889 | − | 0.105055i | ||||
\(131\) | 57.1774 | − | 175.974i | 0.436469 | − | 1.34331i | −0.455105 | − | 0.890438i | \(-0.650398\pi\) |
0.891574 | − | 0.452875i | \(-0.149602\pi\) | |||||||
\(132\) | 0.614332 | − | 2.87410i | 0.00465403 | − | 0.0217735i | ||||
\(133\) | 25.8026 | + | 50.6405i | 0.194004 | + | 0.380755i | ||||
\(134\) | 113.268 | + | 133.267i | 0.845280 | + | 0.994529i | ||||
\(135\) | −126.656 | + | 46.7249i | −0.938194 | + | 0.346111i | ||||
\(136\) | 57.3520 | + | 24.2422i | 0.421706 | + | 0.178251i | ||||
\(137\) | −23.4006 | + | 147.745i | −0.170807 | + | 1.07843i | 0.742107 | + | 0.670281i | \(0.233826\pi\) |
−0.912914 | + | 0.408152i | \(0.866174\pi\) | |||||||
\(138\) | −8.61732 | − | 24.2370i | −0.0624443 | − | 0.175631i | ||||
\(139\) | −83.4919 | − | 60.6604i | −0.600661 | − | 0.436406i | 0.245452 | − | 0.969409i | \(-0.421063\pi\) |
−0.846113 | + | 0.533003i | \(0.821063\pi\) | |||||||
\(140\) | 133.249 | − | 24.3192i | 0.951780 | − | 0.173708i | ||||
\(141\) | 182.120 | + | 104.258i | 1.29163 | + | 0.739417i | ||||
\(142\) | −21.9401 | − | 35.9971i | −0.154508 | − | 0.253500i | ||||
\(143\) | 0.434493 | − | 0.434493i | 0.00303841 | − | 0.00303841i | ||||
\(144\) | −96.5983 | + | 106.793i | −0.670822 | + | 0.741619i | ||||
\(145\) | 94.0277 | − | 99.4965i | 0.648467 | − | 0.686183i | ||||
\(146\) | 176.898 | − | 72.7756i | 1.21163 | − | 0.498463i | ||||
\(147\) | 9.38802 | + | 0.457460i | 0.0638641 | + | 0.00311197i | ||||
\(148\) | 164.712 | − | 52.6436i | 1.11292 | − | 0.355700i | ||||
\(149\) | −226.377 | −1.51931 | −0.759653 | − | 0.650328i | \(-0.774631\pi\) | ||||
−0.759653 | + | 0.650328i | \(0.774631\pi\) | |||||||
\(150\) | 138.890 | + | 56.6520i | 0.925936 | + | 0.377680i | ||||
\(151\) | − | 109.142i | − | 0.722794i | −0.932412 | − | 0.361397i | \(-0.882300\pi\) | ||
0.932412 | − | 0.361397i | \(-0.117700\pi\) | |||||||
\(152\) | 25.2438 | + | 62.2095i | 0.166078 | + | 0.409273i | ||||
\(153\) | −25.5824 | − | 65.2096i | −0.167205 | − | 0.426206i | ||||
\(154\) | 3.06795 | − | 1.26215i | 0.0199218 | − | 0.00819580i | ||||
\(155\) | −29.1111 | − | 155.274i | −0.187814 | − | 1.00177i | ||||
\(156\) | −29.0893 | + | 7.75894i | −0.186470 | + | 0.0497368i | ||||
\(157\) | −119.271 | − | 119.271i | −0.759690 | − | 0.759690i | 0.216576 | − | 0.976266i | \(-0.430511\pi\) |
−0.976266 | + | 0.216576i | \(0.930511\pi\) | |||||||
\(158\) | 133.395 | + | 218.860i | 0.844272 | + | 1.38519i | ||||
\(159\) | 184.311 | + | 105.512i | 1.15919 | + | 0.663596i | ||||
\(160\) | 159.282 | − | 15.1402i | 0.995513 | − | 0.0946263i | ||||
\(161\) | 17.0665 | − | 23.4901i | 0.106003 | − | 0.145901i | ||||
\(162\) | 161.880 | − | 6.22848i | 0.999261 | − | 0.0384474i | ||||
\(163\) | −297.506 | − | 47.1203i | −1.82519 | − | 0.289082i | −0.852764 | − | 0.522297i | \(-0.825075\pi\) |
−0.972425 | + | 0.233215i | \(0.925075\pi\) | |||||||
\(164\) | 19.1655 | + | 9.88168i | 0.116863 | + | 0.0602541i | ||||
\(165\) | 3.61605 | + | 0.648741i | 0.0219155 | + | 0.00393176i | ||||
\(166\) | 99.6958 | + | 117.299i | 0.600577 | + | 0.706619i | ||||
\(167\) | −154.997 | + | 78.9748i | −0.928124 | + | 0.472903i | −0.851616 | − | 0.524166i | \(-0.824377\pi\) |
−0.0765079 | + | 0.997069i | \(0.524377\pi\) | |||||||
\(168\) | −161.074 | − | 21.7867i | −0.958771 | − | 0.129683i | ||||
\(169\) | 154.742 | + | 50.2788i | 0.915635 | + | 0.297508i | ||||
\(170\) | −27.9164 | + | 72.6525i | −0.164214 | + | 0.427368i | ||||
\(171\) | 30.2128 | − | 69.2221i | 0.176683 | − | 0.404808i | ||||
\(172\) | −291.736 | − | 96.3443i | −1.69614 | − | 0.560141i | ||||
\(173\) | −17.4375 | − | 110.096i | −0.100795 | − | 0.636392i | −0.985427 | − | 0.170102i | \(-0.945590\pi\) |
0.884632 | − | 0.466290i | \(-0.154410\pi\) | |||||||
\(174\) | −144.269 | + | 78.5685i | −0.829135 | + | 0.451543i | ||||
\(175\) | 35.8881 | + | 165.466i | 0.205075 | + | 0.945518i | ||||
\(176\) | 3.73838 | − | 1.17504i | 0.0212408 | − | 0.00667637i | ||||
\(177\) | 226.823 | − | 148.487i | 1.28149 | − | 0.838909i | ||||
\(178\) | −100.074 | − | 41.7342i | −0.562213 | − | 0.234462i | ||||
\(179\) | 94.1620 | − | 30.5951i | 0.526045 | − | 0.170922i | −0.0339420 | − | 0.999424i | \(-0.510806\pi\) |
0.559987 | + | 0.828501i | \(0.310806\pi\) | |||||||
\(180\) | −137.410 | − | 116.269i | −0.763387 | − | 0.645941i | ||||
\(181\) | −66.3688 | + | 204.262i | −0.366679 | + | 1.12852i | 0.582245 | + | 0.813014i | \(0.302175\pi\) |
−0.948923 | + | 0.315507i | \(0.897825\pi\) | |||||||
\(182\) | −25.7874 | − | 22.1319i | −0.141689 | − | 0.121604i | ||||
\(183\) | −4.76642 | + | 5.93041i | −0.0260460 | + | 0.0324066i | ||||
\(184\) | 22.4622 | − | 25.9189i | 0.122077 | − | 0.140864i | ||||
\(185\) | 72.5743 | + | 203.602i | 0.392293 | + | 1.10055i | ||||
\(186\) | −24.5066 | + | 187.984i | −0.131756 | + | 1.01067i | ||||
\(187\) | −0.298201 | + | 1.88277i | −0.00159466 | + | 0.0100683i | ||||
\(188\) | −1.34567 | + | 279.798i | −0.00715782 | + | 1.48829i | ||||
\(189\) | 109.104 | + | 146.743i | 0.577268 | + | 0.776416i | ||||
\(190\) | −76.6763 | + | 34.1079i | −0.403560 | + | 0.179515i | ||||
\(191\) | −42.2742 | + | 30.7140i | −0.221331 | + | 0.160806i | −0.692926 | − | 0.721009i | \(-0.743679\pi\) |
0.471595 | + | 0.881815i | \(0.343679\pi\) | |||||||
\(192\) | −187.364 | − | 41.9371i | −0.975854 | − | 0.218422i | ||||
\(193\) | 73.2872 | − | 73.2872i | 0.379726 | − | 0.379726i | −0.491277 | − | 0.871003i | \(-0.663470\pi\) |
0.871003 | + | 0.491277i | \(0.163470\pi\) | |||||||
\(194\) | 7.67712 | − | 31.6421i | 0.0395728 | − | 0.163104i | ||||
\(195\) | −10.8953 | − | 36.0211i | −0.0558734 | − | 0.184724i | ||||
\(196\) | 5.63574 | + | 11.1935i | 0.0287538 | + | 0.0571098i | ||||
\(197\) | −254.343 | − | 129.594i | −1.29108 | − | 0.657839i | −0.332620 | − | 0.943061i | \(-0.607933\pi\) |
−0.958461 | + | 0.285222i | \(0.907933\pi\) | |||||||
\(198\) | −3.88464 | − | 2.08442i | −0.0196194 | − | 0.0105274i | ||||
\(199\) | 397.139 | 1.99568 | 0.997838 | − | 0.0657258i | \(-0.0209363\pi\) | ||||
0.997838 | + | 0.0657258i | \(0.0209363\pi\) | |||||||
\(200\) | 25.4963 | + | 198.368i | 0.127481 | + | 0.991841i | ||||
\(201\) | 239.274 | − | 107.586i | 1.19042 | − | 0.535252i | ||||
\(202\) | −57.0238 | − | 240.063i | −0.282296 | − | 1.18843i | ||||
\(203\) | −165.217 | − | 84.1822i | −0.813876 | − | 0.414691i | ||||
\(204\) | 58.8596 | − | 72.5165i | 0.288528 | − | 0.355473i | ||||
\(205\) | −11.5534 | + | 24.3520i | −0.0563583 | + | 0.118790i | ||||
\(206\) | −14.1216 | + | 58.2036i | −0.0685512 | + | 0.282542i | ||||
\(207\) | −38.5163 | + | 2.30219i | −0.186069 | + | 0.0111217i | ||||
\(208\) | −28.1101 | − | 28.6562i | −0.135145 | − | 0.137770i | ||||
\(209\) | −1.66283 | + | 1.20811i | −0.00795610 | + | 0.00578045i | ||||
\(210\) | 20.5631 | − | 202.132i | 0.0979196 | − | 0.962534i | ||||
\(211\) | 238.575 | − | 328.371i | 1.13069 | − | 1.55626i | 0.343932 | − | 0.938995i | \(-0.388241\pi\) |
0.786756 | − | 0.617264i | \(-0.211759\pi\) | |||||||
\(212\) | −1.36186 | + | 283.164i | −0.00642385 | + | 1.33568i | ||||
\(213\) | −61.0194 | + | 16.5904i | −0.286476 | + | 0.0778891i | ||||
\(214\) | −240.786 | − | 148.352i | −1.12517 | − | 0.693233i | ||||
\(215\) | 108.310 | − | 368.451i | 0.503769 | − | 1.71373i | ||||
\(216\) | 113.558 | + | 183.740i | 0.525732 | + | 0.850650i | ||||
\(217\) | −190.660 | + | 97.1462i | −0.878618 | + | 0.447678i | ||||
\(218\) | 87.0896 | + | 74.7445i | 0.399494 | + | 0.342865i | ||||
\(219\) | −31.0389 | − | 285.240i | −0.141730 | − | 1.30247i | ||||
\(220\) | 1.62247 | + | 4.62187i | 0.00737484 | + | 0.0210085i | ||||
\(221\) | 18.5710 | − | 6.03409i | 0.0840318 | − | 0.0273036i | ||||
\(222\) | −7.11795 | − | 259.282i | −0.0320629 | − | 1.16794i | ||||
\(223\) | −20.6402 | − | 130.317i | −0.0925570 | − | 0.584382i | −0.989758 | − | 0.142759i | \(-0.954403\pi\) |
0.897201 | − | 0.441623i | \(-0.145597\pi\) | |||||||
\(224\) | −80.5220 | − | 201.206i | −0.359473 | − | 0.898242i | ||||
\(225\) | 139.580 | − | 176.472i | 0.620354 | − | 0.784322i | ||||
\(226\) | −234.040 | + | 17.8532i | −1.03558 | + | 0.0789965i | ||||
\(227\) | 1.84517 | + | 11.6499i | 0.00812850 | + | 0.0513213i | 0.991419 | − | 0.130721i | \(-0.0417292\pi\) |
−0.983291 | + | 0.182042i | \(0.941729\pi\) | |||||||
\(228\) | 100.165 | − | 10.4124i | 0.439318 | − | 0.0456684i | ||||
\(229\) | 38.5216 | − | 12.5164i | 0.168217 | − | 0.0546570i | −0.223698 | − | 0.974659i | \(-0.571813\pi\) |
0.391915 | + | 0.920002i | \(0.371813\pi\) | |||||||
\(230\) | 33.3090 | + | 26.9915i | 0.144822 | + | 0.117354i | ||||
\(231\) | −0.538310 | − | 4.94695i | −0.00233035 | − | 0.0214154i | ||||
\(232\) | −185.928 | − | 115.790i | −0.801412 | − | 0.499094i | ||||
\(233\) | 188.428 | − | 96.0088i | 0.808703 | − | 0.412055i | −0.000197739 | − | 1.00000i | \(-0.500063\pi\) |
0.808901 | + | 0.587945i | \(0.200063\pi\) | |||||||
\(234\) | −0.959286 | + | 45.1492i | −0.00409951 | + | 0.192945i | ||||
\(235\) | −349.612 | + | 9.87979i | −1.48771 | + | 0.0420417i | ||||
\(236\) | 321.280 | + | 165.652i | 1.36136 | + | 0.701913i | ||||
\(237\) | 370.995 | − | 100.869i | 1.56538 | − | 0.425606i | ||||
\(238\) | 105.078 | + | 8.52407i | 0.441502 | + | 0.0358154i | ||||
\(239\) | −69.7910 | + | 96.0591i | −0.292013 | + | 0.401921i | −0.929667 | − | 0.368402i | \(-0.879905\pi\) |
0.637654 | + | 0.770323i | \(0.279905\pi\) | |||||||
\(240\) | 44.6510 | − | 235.810i | 0.186046 | − | 0.982541i | ||||
\(241\) | −132.274 | + | 96.1029i | −0.548856 | + | 0.398767i | −0.827363 | − | 0.561667i | \(-0.810160\pi\) |
0.278508 | + | 0.960434i | \(0.410160\pi\) | |||||||
\(242\) | −125.886 | − | 206.540i | −0.520189 | − | 0.853471i | ||||
\(243\) | 58.5751 | − | 235.835i | 0.241050 | − | 0.970513i | ||||
\(244\) | −10.0120 | − | 1.63514i | −0.0410326 | − | 0.00670138i | ||||
\(245\) | −13.7514 | + | 7.50333i | −0.0561281 | + | 0.0306258i | ||||
\(246\) | 22.2347 | − | 23.4900i | 0.0903852 | − | 0.0954878i | ||||
\(247\) | 18.7596 | + | 9.55848i | 0.0759497 | + | 0.0386983i | ||||
\(248\) | −234.217 | + | 95.0423i | −0.944425 | + | 0.383235i | ||||
\(249\) | 210.604 | − | 94.6946i | 0.845799 | − | 0.380300i | ||||
\(250\) | −246.771 | + | 40.0493i | −0.987085 | + | 0.160197i | ||||
\(251\) | 149.350 | 0.595021 | 0.297510 | − | 0.954719i | \(-0.403844\pi\) | ||||
0.297510 | + | 0.954719i | \(0.403844\pi\) | |||||||
\(252\) | −98.6025 | + | 222.982i | −0.391280 | + | 0.884850i | ||||
\(253\) | 0.935578 | + | 0.476701i | 0.00369793 | + | 0.00188419i | ||||
\(254\) | 268.843 | − | 110.602i | 1.05844 | − | 0.435439i | ||||
\(255\) | 93.0281 | + | 70.5380i | 0.364816 | + | 0.276620i | ||||
\(256\) | −74.4102 | − | 244.947i | −0.290665 | − | 0.956825i | ||||
\(257\) | −103.124 | + | 103.124i | −0.401261 | + | 0.401261i | −0.878677 | − | 0.477416i | \(-0.841573\pi\) |
0.477416 | + | 0.878677i | \(0.341573\pi\) | |||||||
\(258\) | −260.547 | + | 380.128i | −1.00987 | + | 1.47336i | ||||
\(259\) | 236.860 | − | 172.089i | 0.914519 | − | 0.664437i | ||||
\(260\) | 34.6391 | − | 36.3025i | 0.133227 | − | 0.139625i | ||||
\(261\) | 53.0004 | + | 240.647i | 0.203067 | + | 0.922020i | ||||
\(262\) | 29.9216 | − | 368.848i | 0.114205 | − | 1.40782i | ||||
\(263\) | 25.6063 | − | 161.672i | 0.0973624 | − | 0.614722i | −0.889965 | − | 0.456028i | \(-0.849272\pi\) |
0.987328 | − | 0.158694i | \(-0.0507283\pi\) | |||||||
\(264\) | −0.133046 | − | 5.87655i | −0.000503961 | − | 0.0222597i | ||||
\(265\) | −353.817 | + | 9.99862i | −1.33516 | + | 0.0377307i | ||||
\(266\) | 73.6148 | + | 86.6128i | 0.276747 | + | 0.325612i | ||||
\(267\) | −101.889 | + | 126.771i | −0.381606 | + | 0.474797i | ||||
\(268\) | 282.000 | + | 206.964i | 1.05224 | + | 0.772256i | ||||
\(269\) | 88.8969 | − | 273.597i | 0.330472 | − | 1.01709i | −0.638438 | − | 0.769673i | \(-0.720419\pi\) |
0.968910 | − | 0.247415i | \(-0.0795809\pi\) | |||||||
\(270\) | −224.858 | + | 149.462i | −0.832807 | + | 0.553563i | ||||
\(271\) | 146.675 | − | 47.6577i | 0.541238 | − | 0.175859i | −0.0256241 | − | 0.999672i | \(-0.508157\pi\) |
0.566862 | + | 0.823813i | \(0.308157\pi\) | |||||||
\(272\) | 122.804 | + | 20.6630i | 0.451485 | + | 0.0759667i | ||||
\(273\) | −42.6480 | + | 27.9190i | −0.156220 | + | 0.102267i | ||||
\(274\) | 22.7556 | + | 298.307i | 0.0830498 | + | 1.08871i | ||||
\(275\) | −5.70715 | + | 2.21794i | −0.0207533 | + | 0.00806525i | ||||
\(276\) | −27.9707 | − | 43.1787i | −0.101343 | − | 0.156445i | ||||
\(277\) | 43.6216 | + | 275.416i | 0.157479 | + | 0.994282i | 0.932191 | + | 0.361967i | \(0.117895\pi\) |
−0.774712 | + | 0.632314i | \(0.782105\pi\) | |||||||
\(278\) | −190.501 | − | 79.4454i | −0.685256 | − | 0.285775i | ||||
\(279\) | 260.620 | + | 113.750i | 0.934121 | + | 0.407708i | ||||
\(280\) | 248.043 | − | 108.911i | 0.885869 | − | 0.388968i | ||||
\(281\) | −228.527 | − | 74.2530i | −0.813264 | − | 0.264246i | −0.127285 | − | 0.991866i | \(-0.540626\pi\) |
−0.685980 | + | 0.727621i | \(0.740626\pi\) | |||||||
\(282\) | 402.569 | + | 118.692i | 1.42755 | + | 0.420895i | ||||
\(283\) | −89.8636 | + | 45.7878i | −0.317539 | + | 0.161794i | −0.605494 | − | 0.795850i | \(-0.707025\pi\) |
0.287955 | + | 0.957644i | \(0.407025\pi\) | |||||||
\(284\) | −59.3306 | − | 59.9041i | −0.208911 | − | 0.210930i | ||||
\(285\) | 17.1471 | + | 124.707i | 0.0601651 | + | 0.437569i | ||||
\(286\) | 0.644633 | − | 1.04629i | 0.00225396 | − | 0.00365835i | ||||
\(287\) | 36.0594 | + | 5.71125i | 0.125643 | + | 0.0198998i | ||||
\(288\) | −138.605 | + | 252.453i | −0.481269 | + | 0.876573i | ||||
\(289\) | 134.264 | − | 184.798i | 0.464580 | − | 0.639439i | ||||
\(290\) | 136.976 | − | 237.067i | 0.472330 | − | 0.817472i | ||||
\(291\) | −42.3862 | − | 24.2647i | −0.145657 | − | 0.0833837i | ||||
\(292\) | 310.580 | − | 223.375i | 1.06363 | − | 0.764984i | ||||
\(293\) | 309.917 | + | 309.917i | 1.05774 | + | 1.05774i | 0.998228 | + | 0.0595111i | \(0.0189542\pi\) |
0.0595111 | + | 0.998228i | \(0.481046\pi\) | |||||||
\(294\) | 18.4792 | − | 3.44912i | 0.0628544 | − | 0.0117317i | ||||
\(295\) | −193.676 | + | 408.225i | −0.656530 | + | 1.38381i | ||||
\(296\) | 296.173 | − | 178.569i | 1.00058 | − | 0.603273i | ||||
\(297\) | −4.62419 | + | 4.72717i | −0.0155697 | + | 0.0159164i | ||||
\(298\) | −440.497 | + | 104.634i | −1.47818 | + | 0.351122i | ||||
\(299\) | − | 10.7560i | − | 0.0359733i | ||||||
\(300\) | 296.446 | + | 46.0398i | 0.988154 | + | 0.153466i | ||||
\(301\) | −520.185 | −1.72819 | ||||||||
\(302\) | −50.4468 | − | 212.375i | −0.167042 | − | 0.703227i | ||||
\(303\) | −369.675 | − | 18.0135i | −1.22005 | − | 0.0594506i | ||||
\(304\) | 77.8748 | + | 109.383i | 0.256167 | + | 0.359812i | ||||
\(305\) | 1.62912 | − | 12.5757i | 0.00534138 | − | 0.0412317i | ||||
\(306\) | −79.9204 | − | 115.064i | −0.261178 | − | 0.376026i | ||||
\(307\) | −128.663 | + | 128.663i | −0.419099 | + | 0.419099i | −0.884893 | − | 0.465794i | \(-0.845769\pi\) |
0.465794 | + | 0.884893i | \(0.345769\pi\) | |||||||
\(308\) | 5.38641 | − | 3.87402i | 0.0174884 | − | 0.0125780i | ||||
\(309\) | 77.9666 | + | 44.6333i | 0.252319 | + | 0.144444i | ||||
\(310\) | −128.416 | − | 288.685i | −0.414244 | − | 0.931241i | ||||
\(311\) | 132.019 | + | 95.9173i | 0.424498 | + | 0.308416i | 0.779445 | − | 0.626471i | \(-0.215501\pi\) |
−0.354947 | + | 0.934886i | \(0.615501\pi\) | |||||||
\(312\) | −53.0173 | + | 28.5432i | −0.169927 | + | 0.0914847i | ||||
\(313\) | 57.0821 | − | 360.402i | 0.182371 | − | 1.15144i | −0.711356 | − | 0.702832i | \(-0.751918\pi\) |
0.893727 | − | 0.448612i | \(-0.148082\pi\) | |||||||
\(314\) | −287.214 | − | 176.956i | −0.914693 | − | 0.563555i | ||||
\(315\) | −282.650 | − | 113.972i | −0.897301 | − | 0.361817i | ||||
\(316\) | 360.727 | + | 364.214i | 1.14154 | + | 1.15258i | ||||
\(317\) | −91.9742 | − | 180.510i | −0.290140 | − | 0.569431i | 0.699223 | − | 0.714904i | \(-0.253530\pi\) |
−0.989362 | + | 0.145473i | \(0.953530\pi\) | |||||||
\(318\) | 407.411 | + | 120.120i | 1.28117 | + | 0.377736i | ||||
\(319\) | 2.07218 | − | 6.37753i | 0.00649588 | − | 0.0199922i | ||||
\(320\) | 302.942 | − | 103.083i | 0.946694 | − | 0.322134i | ||||
\(321\) | −314.219 | + | 285.019i | −0.978875 | + | 0.887910i | ||||
\(322\) | 22.3516 | − | 53.5967i | 0.0694149 | − | 0.166449i | ||||
\(323\) | −64.5121 | + | 10.2177i | −0.199728 | + | 0.0316338i | ||||
\(324\) | 312.117 | − | 86.9428i | 0.963324 | − | 0.268342i | ||||
\(325\) | 46.7846 | + | 41.7753i | 0.143952 | + | 0.128539i | ||||
\(326\) | −600.683 | + | 45.8217i | −1.84259 | + | 0.140557i | ||||
\(327\) | 144.032 | − | 94.2887i | 0.440464 | − | 0.288345i | ||||
\(328\) | 41.8607 | + | 10.3698i | 0.127624 | + | 0.0316153i | ||||
\(329\) | 146.394 | + | 450.553i | 0.444966 | + | 1.36946i | ||||
\(330\) | 7.33617 | − | 0.409029i | 0.0222308 | − | 0.00123948i | ||||
\(331\) | −408.822 | − | 132.834i | −1.23511 | − | 0.401312i | −0.382548 | − | 0.923936i | \(-0.624953\pi\) |
−0.852564 | + | 0.522624i | \(0.824953\pi\) | |||||||
\(332\) | 248.211 | + | 182.166i | 0.747623 | + | 0.548693i | ||||
\(333\) | −376.542 | − | 97.9372i | −1.13076 | − | 0.294106i | ||||
\(334\) | −265.098 | + | 225.315i | −0.793707 | + | 0.674596i | ||||
\(335\) | −246.912 | + | 360.859i | −0.737052 | + | 1.07719i | ||||
\(336\) | −323.496 | + | 32.0565i | −0.962786 | + | 0.0954062i | ||||
\(337\) | −71.4362 | − | 11.3144i | −0.211977 | − | 0.0335739i | 0.0495427 | − | 0.998772i | \(-0.484224\pi\) |
−0.261520 | + | 0.965198i | \(0.584224\pi\) | |||||||
\(338\) | 324.346 | + | 26.3115i | 0.959603 | + | 0.0778447i | ||||
\(339\) | −71.9371 | + | 344.653i | −0.212204 | + | 1.01668i | ||||
\(340\) | −20.7405 | + | 154.275i | −0.0610013 | + | 0.453749i | ||||
\(341\) | −4.54852 | − | 6.26050i | −0.0133388 | − | 0.0183592i | ||||
\(342\) | 26.7944 | − | 148.661i | 0.0783461 | − | 0.434681i | ||||
\(343\) | 249.659 | + | 249.659i | 0.727870 | + | 0.727870i | ||||
\(344\) | −612.208 | − | 52.6283i | −1.77967 | − | 0.152989i | ||||
\(345\) | 52.7882 | − | 36.7284i | 0.153009 | − | 0.106459i | ||||
\(346\) | −84.8185 | − | 206.171i | −0.245140 | − | 0.595869i | ||||
\(347\) | −42.6220 | + | 83.6505i | −0.122830 | + | 0.241068i | −0.944231 | − | 0.329283i | \(-0.893193\pi\) |
0.821401 | + | 0.570351i | \(0.193193\pi\) | |||||||
\(348\) | −244.412 | + | 219.566i | −0.702334 | + | 0.630938i | ||||
\(349\) | − | 602.968i | − | 1.72770i | −0.503746 | − | 0.863852i | \(-0.668045\pi\) | ||
0.503746 | − | 0.863852i | \(-0.331955\pi\) | |||||||
\(350\) | 146.313 | + | 305.385i | 0.418038 | + | 0.872527i | ||||
\(351\) | 64.6503 | + | 20.2219i | 0.184189 | + | 0.0576122i | ||||
\(352\) | 6.73124 | − | 4.01439i | 0.0191228 | − | 0.0114045i | ||||
\(353\) | 120.713 | − | 236.913i | 0.341964 | − | 0.671142i | −0.654418 | − | 0.756133i | \(-0.727086\pi\) |
0.996382 | + | 0.0849911i | \(0.0270862\pi\) | |||||||
\(354\) | 372.732 | − | 393.775i | 1.05292 | − | 1.11236i | ||||
\(355\) | 72.3877 | − | 76.5980i | 0.203909 | − | 0.215769i | ||||
\(356\) | −214.020 | − | 34.9533i | −0.601179 | − | 0.0981835i | ||||
\(357\) | 56.1279 | − | 147.838i | 0.157221 | − | 0.414112i | ||||
\(358\) | 169.084 | − | 103.057i | 0.472303 | − | 0.287868i | ||||
\(359\) | 81.8220 | + | 112.618i | 0.227916 | + | 0.313700i | 0.907625 | − | 0.419782i | \(-0.137894\pi\) |
−0.679708 | + | 0.733483i | \(0.737894\pi\) | |||||||
\(360\) | −321.121 | − | 162.731i | −0.892002 | − | 0.452030i | ||||
\(361\) | 235.079 | + | 170.795i | 0.651189 | + | 0.473117i | ||||
\(362\) | −34.7316 | + | 428.142i | −0.0959436 | + | 1.18271i | ||||
\(363\) | −350.110 | + | 95.1904i | −0.964491 | + | 0.262233i | ||||
\(364\) | −60.4082 | − | 31.1464i | −0.165957 | − | 0.0855669i | ||||
\(365\) | 291.899 | + | 378.783i | 0.799724 | + | 1.03776i | ||||
\(366\) | −6.53366 | + | 13.7428i | −0.0178515 | + | 0.0375487i | ||||
\(367\) | 179.995 | + | 353.261i | 0.490451 | + | 0.962563i | 0.995066 | + | 0.0992190i | \(0.0316344\pi\) |
−0.504615 | + | 0.863344i | \(0.668366\pi\) | |||||||
\(368\) | 31.7282 | − | 60.8168i | 0.0862180 | − | 0.165263i | ||||
\(369\) | −24.5661 | − | 41.8375i | −0.0665749 | − | 0.113381i | ||||
\(370\) | 235.327 | + | 362.635i | 0.636018 | + | 0.980096i | ||||
\(371\) | 148.154 | + | 455.972i | 0.399338 | + | 1.22904i | ||||
\(372\) | 39.2024 | + | 377.117i | 0.105383 | + | 1.01376i | ||||
\(373\) | −297.388 | + | 47.1016i | −0.797286 | + | 0.126278i | −0.541770 | − | 0.840527i | \(-0.682245\pi\) |
−0.255516 | + | 0.966805i | \(0.582245\pi\) | |||||||
\(374\) | 0.289983 | + | 3.80143i | 0.000775355 | + | 0.0101642i | ||||
\(375\) | −45.2695 | + | 372.258i | −0.120719 | + | 0.992687i | ||||
\(376\) | 126.708 | + | 545.069i | 0.336989 | + | 1.44965i | ||||
\(377\) | −67.8452 | + | 10.7456i | −0.179961 | + | 0.0285030i | ||||
\(378\) | 280.126 | + | 235.111i | 0.741075 | + | 0.621987i | ||||
\(379\) | −96.1922 | − | 296.049i | −0.253805 | − | 0.781132i | −0.994063 | − | 0.108809i | \(-0.965296\pi\) |
0.740257 | − | 0.672323i | \(-0.234704\pi\) | |||||||
\(380\) | −133.436 | + | 101.810i | −0.351147 | + | 0.267921i | ||||
\(381\) | −47.1717 | − | 433.498i | −0.123810 | − | 1.13779i | ||||
\(382\) | −68.0632 | + | 79.3048i | −0.178176 | + | 0.207604i | ||||
\(383\) | 228.521 | + | 448.498i | 0.596661 | + | 1.17101i | 0.969952 | + | 0.243298i | \(0.0782293\pi\) |
−0.373291 | + | 0.927714i | \(0.621771\pi\) | |||||||
\(384\) | −383.967 | + | 4.99857i | −0.999915 | + | 0.0130171i | ||||
\(385\) | 5.06244 | + | 6.56927i | 0.0131492 | + | 0.0170630i | ||||
\(386\) | 108.732 | − | 176.481i | 0.281689 | − | 0.457204i | ||||
\(387\) | 438.965 | + | 534.013i | 1.13428 | + | 1.37988i | ||||
\(388\) | 0.313188 | − | 65.1195i | 0.000807184 | − | 0.167834i | ||||
\(389\) | −288.213 | − | 209.399i | −0.740907 | − | 0.538301i | 0.152088 | − | 0.988367i | \(-0.451400\pi\) |
−0.892995 | + | 0.450066i | \(0.851400\pi\) | |||||||
\(390\) | −37.8502 | − | 65.0560i | −0.0970517 | − | 0.166810i | ||||
\(391\) | 19.6132 | + | 26.9953i | 0.0501618 | + | 0.0690417i | ||||
\(392\) | 16.1401 | + | 19.1761i | 0.0411738 | + | 0.0489186i | ||||
\(393\) | −518.948 | − | 197.023i | −1.32048 | − | 0.501331i | ||||
\(394\) | −554.815 | − | 134.611i | −1.40816 | − | 0.341653i | ||||
\(395\) | −440.114 | + | 465.712i | −1.11421 | + | 1.17902i | ||||
\(396\) | −8.52240 | − | 2.26046i | −0.0215212 | − | 0.00570824i | ||||
\(397\) | −77.3857 | + | 151.878i | −0.194926 | + | 0.382564i | −0.967695 | − | 0.252123i | \(-0.918871\pi\) |
0.772769 | + | 0.634688i | \(0.218871\pi\) | |||||||
\(398\) | 772.776 | − | 183.563i | 1.94165 | − | 0.461213i | ||||
\(399\) | 155.509 | − | 69.9220i | 0.389746 | − | 0.175243i | ||||
\(400\) | 141.300 | + | 374.211i | 0.353251 | + | 0.935529i | ||||
\(401\) | 22.2281i | 0.0554317i | 0.999616 | + | 0.0277159i | \(0.00882336\pi\) | ||||
−0.999616 | + | 0.0277159i | \(0.991177\pi\) | |||||||
\(402\) | 415.865 | − | 319.942i | 1.03449 | − | 0.795874i | ||||
\(403\) | −35.9875 | + | 70.6294i | −0.0892990 | + | 0.175259i | ||||
\(404\) | −221.920 | − | 440.771i | −0.549308 | − | 1.09102i | ||||
\(405\) | 121.516 | + | 386.341i | 0.300038 | + | 0.953927i | ||||
\(406\) | −360.399 | − | 87.4412i | −0.887681 | − | 0.215372i | ||||
\(407\) | 7.48673 | + | 7.48673i | 0.0183949 | + | 0.0183949i | ||||
\(408\) | 81.0143 | − | 168.312i | 0.198565 | − | 0.412531i | ||||
\(409\) | 111.854 | + | 153.954i | 0.273482 | + | 0.376416i | 0.923562 | − | 0.383450i | \(-0.125264\pi\) |
−0.650079 | + | 0.759867i | \(0.725264\pi\) | |||||||
\(410\) | −11.2255 | + | 52.7257i | −0.0273794 | + | 0.128599i | ||||
\(411\) | 439.294 | + | 91.6909i | 1.06884 | + | 0.223092i | ||||
\(412\) | −0.576088 | + | 119.783i | −0.00139827 | + | 0.290735i | ||||
\(413\) | 604.482 | + | 95.7406i | 1.46364 | + | 0.231817i | ||||
\(414\) | −73.8831 | + | 22.2825i | −0.178462 | + | 0.0538224i | ||||
\(415\) | −217.327 | + | 317.621i | −0.523680 | + | 0.765351i | ||||
\(416\) | −67.9435 | − | 42.7679i | −0.163326 | − | 0.102807i | ||||
\(417\) | −193.956 | + | 241.322i | −0.465123 | + | 0.578709i | ||||
\(418\) | −2.67722 | + | 3.11940i | −0.00640482 | + | 0.00746267i | ||||
\(419\) | −52.6738 | − | 17.1148i | −0.125713 | − | 0.0408467i | 0.245485 | − | 0.969400i | \(-0.421053\pi\) |
−0.371198 | + | 0.928554i | \(0.621053\pi\) | |||||||
\(420\) | −53.4152 | − | 402.825i | −0.127179 | − | 0.959107i | ||||
\(421\) | −47.6463 | − | 146.640i | −0.113174 | − | 0.348314i | 0.878388 | − | 0.477949i | \(-0.158620\pi\) |
−0.991562 | + | 0.129635i | \(0.958620\pi\) | |||||||
\(422\) | 312.456 | − | 749.235i | 0.740417 | − | 1.77544i | ||||
\(423\) | 338.994 | − | 530.491i | 0.801405 | − | 1.25411i | ||||
\(424\) | 128.232 | + | 551.625i | 0.302434 | + | 1.30100i | ||||
\(425\) | −193.595 | − | 19.5369i | −0.455517 | − | 0.0459693i | ||||
\(426\) | −111.067 | + | 60.4864i | −0.260720 | + | 0.141987i | ||||
\(427\) | −16.9647 | + | 2.68694i | −0.0397299 | + | 0.00629259i | ||||
\(428\) | −537.106 | − | 177.377i | −1.25492 | − | 0.414432i | ||||
\(429\) | −1.23849 | − | 1.36537i | −0.00288693 | − | 0.00318269i | ||||
\(430\) | 40.4536 | − | 767.016i | 0.0940782 | − | 1.78376i | ||||
\(431\) | 41.9462 | − | 129.097i | 0.0973229 | − | 0.299529i | −0.890529 | − | 0.454926i | \(-0.849666\pi\) |
0.987852 | + | 0.155397i | \(0.0496657\pi\) | |||||||
\(432\) | 305.895 | + | 305.044i | 0.708091 | + | 0.706121i | ||||
\(433\) | 201.480 | + | 395.426i | 0.465311 | + | 0.913224i | 0.997769 | + | 0.0667672i | \(0.0212685\pi\) |
−0.532458 | + | 0.846457i | \(0.678732\pi\) | |||||||
\(434\) | −326.095 | + | 277.158i | −0.751371 | + | 0.638613i | ||||
\(435\) | −284.407 | − | 296.276i | −0.653809 | − | 0.681095i | ||||
\(436\) | 204.012 | + | 105.188i | 0.467917 | + | 0.241257i | ||||
\(437\) | −5.62828 | + | 35.5356i | −0.0128794 | + | 0.0813171i | ||||
\(438\) | −192.239 | − | 540.690i | −0.438902 | − | 1.23445i | ||||
\(439\) | 167.067 | + | 121.381i | 0.380562 | + | 0.276494i | 0.761577 | − | 0.648074i | \(-0.224425\pi\) |
−0.381015 | + | 0.924569i | \(0.624425\pi\) | |||||||
\(440\) | 5.29338 | + | 8.24358i | 0.0120304 | + | 0.0187354i | ||||
\(441\) | 2.74150 | − | 28.0639i | 0.00621656 | − | 0.0636370i | ||||
\(442\) | 33.3475 | − | 20.3253i | 0.0754469 | − | 0.0459847i | ||||
\(443\) | 526.760 | − | 526.760i | 1.18908 | − | 1.18908i | 0.211751 | − | 0.977324i | \(-0.432083\pi\) |
0.977324 | − | 0.211751i | \(-0.0679167\pi\) | |||||||
\(444\) | −133.694 | − | 501.236i | −0.301113 | − | 1.12891i | ||||
\(445\) | 34.8247 | − | 268.823i | 0.0782578 | − | 0.604096i | ||||
\(446\) | −100.397 | − | 244.038i | −0.225106 | − | 0.547171i | ||||
\(447\) | −33.0534 | + | 678.325i | −0.0739450 | + | 1.51751i | ||||
\(448\) | −249.684 | − | 354.300i | −0.557331 | − | 0.790849i | ||||
\(449\) | −530.582 | −1.18170 | −0.590848 | − | 0.806783i | \(-0.701207\pi\) | ||||
−0.590848 | + | 0.806783i | \(0.701207\pi\) | |||||||
\(450\) | 190.034 | − | 407.906i | 0.422298 | − | 0.906457i | ||||
\(451\) | 1.32030i | 0.00292748i | ||||||||
\(452\) | −447.157 | + | 142.916i | −0.989286 | + | 0.316186i | ||||
\(453\) | −327.038 | − | 15.9359i | −0.721938 | − | 0.0351786i | ||||
\(454\) | 8.97518 | + | 21.8162i | 0.0197691 | + | 0.0480534i | ||||
\(455\) | 36.4157 | − | 76.7559i | 0.0800344 | − | 0.168694i | ||||
\(456\) | 190.093 | − | 66.5584i | 0.416871 | − | 0.145961i | ||||
\(457\) | −119.840 | − | 119.840i | −0.262232 | − | 0.262232i | 0.563728 | − | 0.825960i | \(-0.309367\pi\) |
−0.825960 | + | 0.563728i | \(0.809367\pi\) | |||||||
\(458\) | 69.1724 | − | 42.1604i | 0.151031 | − | 0.0920533i | ||||
\(459\) | −199.132 | + | 67.1349i | −0.433839 | + | 0.146263i | ||||
\(460\) | 77.2904 | + | 37.1257i | 0.168023 | + | 0.0807081i | ||||
\(461\) | 51.2522 | − | 70.5426i | 0.111176 | − | 0.153021i | −0.749803 | − | 0.661661i | \(-0.769852\pi\) |
0.860979 | + | 0.508640i | \(0.169852\pi\) | |||||||
\(462\) | −3.33402 | − | 9.37724i | −0.00721649 | − | 0.0202971i | ||||
\(463\) | −214.297 | − | 33.9413i | −0.462844 | − | 0.0733072i | −0.0793421 | − | 0.996847i | \(-0.525282\pi\) |
−0.383502 | + | 0.923540i | \(0.625282\pi\) | |||||||
\(464\) | −415.308 | − | 139.372i | −0.895061 | − | 0.300371i | ||||
\(465\) | −469.519 | + | 64.5583i | −1.00972 | + | 0.138835i | ||||
\(466\) | 322.277 | − | 273.913i | 0.691582 | − | 0.587796i | ||||
\(467\) | 479.187 | − | 244.158i | 1.02610 | − | 0.522823i | 0.141873 | − | 0.989885i | \(-0.454688\pi\) |
0.884224 | + | 0.467062i | \(0.154688\pi\) | |||||||
\(468\) | 19.0019 | + | 88.2973i | 0.0406024 | + | 0.188669i | ||||
\(469\) | 563.265 | + | 183.016i | 1.20099 | + | 0.390226i | ||||
\(470\) | −675.729 | + | 180.820i | −1.43772 | + | 0.384723i | ||||
\(471\) | −374.805 | + | 339.975i | −0.795764 | + | 0.721815i | ||||
\(472\) | 701.731 | + | 173.834i | 1.48672 | + | 0.368293i | ||||
\(473\) | −2.94281 | − | 18.5802i | −0.00622159 | − | 0.0392816i | ||||
\(474\) | 675.280 | − | 367.755i | 1.42464 | − | 0.775853i | ||||
\(475\) | −132.706 | − | 162.497i | −0.279382 | − | 0.342099i | ||||
\(476\) | 208.406 | − | 31.9816i | 0.437827 | − | 0.0671881i | ||||
\(477\) | 343.072 | − | 536.871i | 0.719228 | − | 1.12552i | ||||
\(478\) | −91.4036 | + | 219.175i | −0.191221 | + | 0.458526i | ||||
\(479\) | −398.889 | + | 129.607i | −0.832753 | + | 0.270578i | −0.694205 | − | 0.719778i | \(-0.744244\pi\) |
−0.138549 | + | 0.990356i | \(0.544244\pi\) | |||||||
\(480\) | −22.1099 | − | 479.491i | −0.0460623 | − | 0.998939i | ||||
\(481\) | 33.5153 | − | 103.149i | 0.0696783 | − | 0.214448i | ||||
\(482\) | −212.967 | + | 248.141i | −0.441840 | + | 0.514816i | ||||
\(483\) | −67.8948 | − | 54.5687i | −0.140569 | − | 0.112979i | ||||
\(484\) | −340.421 | − | 343.711i | −0.703349 | − | 0.710147i | ||||
\(485\) | 81.3678 | − | 2.29940i | 0.167769 | − | 0.00474102i | ||||
\(486\) | 4.97296 | − | 485.975i | 0.0102324 | − | 0.999948i | ||||
\(487\) | −96.0892 | + | 606.683i | −0.197308 | + | 1.24576i | 0.667865 | + | 0.744283i | \(0.267209\pi\) |
−0.865173 | + | 0.501474i | \(0.832791\pi\) | |||||||
\(488\) | −20.2376 | + | 1.44592i | −0.0414705 | + | 0.00296294i | ||||
\(489\) | −184.632 | + | 884.580i | −0.377571 | + | 1.80896i | ||||
\(490\) | −23.2901 | + | 20.9565i | −0.0475308 | + | 0.0427683i | ||||
\(491\) | −274.309 | + | 199.297i | −0.558675 | + | 0.405901i | −0.830974 | − | 0.556312i | \(-0.812216\pi\) |
0.272299 | + | 0.962213i | \(0.412216\pi\) | |||||||
\(492\) | 32.4083 | − | 55.9854i | 0.0658704 | − | 0.113791i | ||||
\(493\) | 150.683 | − | 150.683i | 0.305644 | − | 0.305644i | ||||
\(494\) | 40.9215 | + | 9.92852i | 0.0828371 | + | 0.0200982i | ||||
\(495\) | 2.47190 | − | 10.7406i | 0.00499373 | − | 0.0216981i | ||||
\(496\) | −411.824 | + | 293.197i | −0.830290 | + | 0.591123i | ||||
\(497\) | −127.193 | − | 64.8081i | −0.255922 | − | 0.130399i | ||||
\(498\) | 366.036 | − | 281.606i | 0.735012 | − | 0.565474i | ||||
\(499\) | −63.2647 | −0.126783 | −0.0633914 | − | 0.997989i | \(-0.520192\pi\) | ||||
−0.0633914 | + | 0.997989i | \(0.520192\pi\) | |||||||
\(500\) | −461.670 | + | 191.991i | −0.923341 | + | 0.383982i | ||||
\(501\) | 214.012 | + | 475.970i | 0.427170 | + | 0.950040i | ||||
\(502\) | 290.614 | − | 69.0316i | 0.578913 | − | 0.137513i | ||||
\(503\) | 8.05521 | + | 4.10433i | 0.0160143 | + | 0.00815971i | 0.461979 | − | 0.886891i | \(-0.347139\pi\) |
−0.445965 | + | 0.895050i | \(0.647139\pi\) | |||||||
\(504\) | −88.8011 | + | 479.467i | −0.176193 | + | 0.951323i | ||||
\(505\) | 541.493 | − | 295.461i | 1.07226 | − | 0.585071i | ||||
\(506\) | 2.04084 | + | 0.495155i | 0.00403327 | + | 0.000978567i | ||||
\(507\) | 173.252 | − | 456.335i | 0.341719 | − | 0.900070i | ||||
\(508\) | 472.008 | − | 339.477i | 0.929149 | − | 0.668262i | ||||
\(509\) | 385.479 | − | 280.067i | 0.757326 | − | 0.550230i | −0.140763 | − | 0.990043i | \(-0.544956\pi\) |
0.898089 | + | 0.439814i | \(0.144956\pi\) | |||||||
\(510\) | 213.623 | + | 94.2581i | 0.418869 | + | 0.184820i | ||||
\(511\) | 380.728 | − | 524.027i | 0.745064 | − | 1.02549i | ||||
\(512\) | −258.009 | − | 442.239i | −0.503925 | − | 0.863748i | ||||
\(513\) | −203.009 | − | 100.638i | −0.395729 | − | 0.196176i | ||||
\(514\) | −152.999 | + | 248.330i | −0.297664 | + | 0.483132i | ||||
\(515\) | −149.671 | + | 4.22959i | −0.290623 | + | 0.00821279i | ||||
\(516\) | −331.287 | + | 860.103i | −0.642029 | + | 1.66687i | ||||
\(517\) | −15.2649 | + | 7.77784i | −0.0295259 | + | 0.0150442i | ||||
\(518\) | 381.355 | − | 444.341i | 0.736206 | − | 0.857801i | ||||
\(519\) | −332.442 | + | 36.1752i | −0.640543 | + | 0.0697017i | ||||
\(520\) | 50.6233 | − | 86.6501i | 0.0973526 | − | 0.166635i | ||||
\(521\) | 879.135 | − | 285.648i | 1.68740 | − | 0.548269i | 0.701076 | − | 0.713087i | \(-0.252703\pi\) |
0.986324 | + | 0.164817i | \(0.0527034\pi\) | |||||||
\(522\) | 214.361 | + | 443.767i | 0.410654 | + | 0.850129i | ||||
\(523\) | −129.941 | − | 820.413i | −0.248453 | − | 1.56867i | −0.724517 | − | 0.689257i | \(-0.757937\pi\) |
0.476064 | − | 0.879411i | \(-0.342063\pi\) | |||||||
\(524\) | −112.263 | − | 731.556i | −0.214243 | − | 1.39610i | ||||
\(525\) | 501.049 | − | 83.3768i | 0.954379 | − | 0.158813i | ||||
\(526\) | −24.9006 | − | 326.426i | −0.0473395 | − | 0.620581i | ||||
\(527\) | −38.4694 | − | 242.886i | −0.0729970 | − | 0.460885i | ||||
\(528\) | −2.97510 | − | 11.3734i | −0.00563467 | − | 0.0215406i | ||||
\(529\) | −485.628 | + | 157.790i | −0.918012 | + | 0.298280i | ||||
\(530\) | −683.856 | + | 182.995i | −1.29029 | + | 0.345273i | ||||
\(531\) | −411.814 | − | 701.343i | −0.775545 | − | 1.32080i | ||||
\(532\) | 183.277 | + | 134.510i | 0.344507 | + | 0.252839i | ||||
\(533\) | 12.0505 | − | 6.14004i | 0.0226088 | − | 0.0115198i | ||||
\(534\) | −139.666 | + | 293.772i | −0.261547 | + | 0.550135i | ||||
\(535\) | 199.407 | − | 678.345i | 0.372724 | − | 1.26793i | ||||
\(536\) | 644.393 | + | 272.379i | 1.20223 | + | 0.508170i | ||||
\(537\) | −77.9279 | − | 286.619i | −0.145117 | − | 0.533740i | ||||
\(538\) | 46.5208 | − | 573.469i | 0.0864700 | − | 1.06593i | ||||
\(539\) | −0.451034 | + | 0.620795i | −0.000836797 | + | 0.00115175i | ||||
\(540\) | −368.458 | + | 394.764i | −0.682330 | + | 0.731045i | ||||
\(541\) | 15.0979 | − | 10.9692i | 0.0279073 | − | 0.0202759i | −0.573744 | − | 0.819035i | \(-0.694510\pi\) |
0.601651 | + | 0.798759i | \(0.294510\pi\) | |||||||
\(542\) | 263.381 | − | 160.530i | 0.485944 | − | 0.296182i | ||||
\(543\) | 602.370 | + | 228.695i | 1.10934 | + | 0.421169i | ||||
\(544\) | 248.509 | − | 16.5544i | 0.456819 | − | 0.0304308i | ||||
\(545\) | −122.984 | + | 259.222i | −0.225658 | + | 0.475636i | ||||
\(546\) | −70.0824 | + | 74.0389i | −0.128356 | + | 0.135602i | ||||
\(547\) | −131.218 | − | 66.8589i | −0.239887 | − | 0.122228i | 0.329915 | − | 0.944011i | \(-0.392980\pi\) |
−0.569802 | + | 0.821782i | \(0.692980\pi\) | |||||||
\(548\) | 182.161 | + | 569.945i | 0.332410 | + | 1.04005i | ||||
\(549\) | 17.0742 | + | 15.1482i | 0.0311006 | + | 0.0275924i | ||||
\(550\) | −10.0801 | + | 6.95372i | −0.0183275 | + | 0.0126431i | ||||
\(551\) | 229.768 | 0.417003 | ||||||||
\(552\) | −74.3848 | − | 71.0912i | −0.134755 | − | 0.128788i | ||||
\(553\) | 773.328 | + | 394.030i | 1.39842 | + | 0.712532i | ||||
\(554\) | 212.182 | + | 515.758i | 0.383000 | + | 0.930971i | ||||
\(555\) | 620.679 | − | 187.737i | 1.11834 | − | 0.338265i | ||||
\(556\) | −407.409 | − | 66.5373i | −0.732750 | − | 0.119671i | ||||
\(557\) | −201.327 | + | 201.327i | −0.361450 | + | 0.361450i | −0.864346 | − | 0.502897i | \(-0.832268\pi\) |
0.502897 | + | 0.864346i | \(0.332268\pi\) | |||||||
\(558\) | 559.706 | + | 100.880i | 1.00306 | + | 0.180789i | ||||
\(559\) | −155.898 | + | 113.267i | −0.278887 | + | 0.202624i | ||||
\(560\) | 432.317 | − | 326.574i | 0.771994 | − | 0.583168i | ||||
\(561\) | 5.59807 | + | 1.16845i | 0.00997873 | + | 0.00208279i | ||||
\(562\) | −479.002 | − | 38.8575i | −0.852317 | − | 0.0691415i | ||||
\(563\) | 117.638 | − | 742.734i | 0.208948 | − | 1.31924i | −0.630664 | − | 0.776056i | \(-0.717217\pi\) |
0.839611 | − | 0.543188i | \(-0.182783\pi\) | |||||||
\(564\) | 838.203 | + | 44.8858i | 1.48618 | + | 0.0795847i | ||||
\(565\) | −197.024 | − | 552.736i | −0.348715 | − | 0.978294i | ||||
\(566\) | −153.698 | + | 130.633i | −0.271551 | + | 0.230800i | ||||
\(567\) | 455.637 | − | 305.497i | 0.803592 | − | 0.538795i | ||||
\(568\) | −143.137 | − | 89.1414i | −0.252002 | − | 0.156939i | ||||
\(569\) | 155.545 | − | 478.718i | 0.273365 | − | 0.841332i | −0.716282 | − | 0.697811i | \(-0.754158\pi\) |
0.989647 | − | 0.143521i | \(-0.0458424\pi\) | |||||||
\(570\) | 91.0069 | + | 234.736i | 0.159661 | + | 0.411818i | ||||
\(571\) | −808.025 | + | 262.543i | −1.41510 | + | 0.459795i | −0.914043 | − | 0.405617i | \(-0.867057\pi\) |
−0.501061 | + | 0.865412i | \(0.667057\pi\) | |||||||
\(572\) | 0.770755 | − | 2.33389i | 0.00134747 | − | 0.00408022i | ||||
\(573\) | 85.8604 | + | 131.157i | 0.149844 | + | 0.228895i | ||||
\(574\) | 72.8063 | − | 5.55385i | 0.126840 | − | 0.00967569i | ||||
\(575\) | −43.1882 | + | 98.0942i | −0.0751099 | + | 0.170599i | ||||
\(576\) | −153.019 | + | 555.303i | −0.265658 | + | 0.964067i | ||||
\(577\) | 174.272 | + | 1100.31i | 0.302031 | + | 1.90695i | 0.408726 | + | 0.912657i | \(0.365973\pi\) |
−0.106695 | + | 0.994292i | \(0.534027\pi\) | |||||||
\(578\) | 175.842 | − | 421.649i | 0.304225 | − | 0.729496i | ||||
\(579\) | −208.900 | − | 230.302i | −0.360795 | − | 0.397758i | ||||
\(580\) | 156.960 | − | 524.610i | 0.270621 | − | 0.904500i | ||||
\(581\) | 495.775 | + | 161.087i | 0.853313 | + | 0.277258i | ||||
\(582\) | −93.6929 | − | 27.6241i | −0.160984 | − | 0.0474642i | ||||
\(583\) | −15.4485 | + | 7.87139i | −0.0264982 | + | 0.0135015i | ||||
\(584\) | 501.097 | − | 578.210i | 0.858043 | − | 0.990086i | ||||
\(585\) | −109.526 | + | 27.3877i | −0.187224 | + | 0.0468167i | ||||
\(586\) | 746.303 | + | 459.807i | 1.27355 | + | 0.784654i | ||||
\(587\) | 703.748 | + | 111.463i | 1.19889 | + | 0.189885i | 0.723773 | − | 0.690038i | \(-0.242406\pi\) |
0.475116 | + | 0.879923i | \(0.342406\pi\) | |||||||
\(588\) | 34.3636 | − | 15.2528i | 0.0584416 | − | 0.0259401i | ||||
\(589\) | 155.853 | − | 214.513i | 0.264606 | − | 0.364199i | ||||
\(590\) | −188.179 | + | 883.868i | −0.318948 | + | 1.49808i | ||||
\(591\) | −425.459 | + | 743.203i | −0.719896 | + | 1.25753i | ||||
\(592\) | 493.773 | − | 484.364i | 0.834076 | − | 0.818183i | ||||
\(593\) | 4.59615 | + | 4.59615i | 0.00775067 | + | 0.00775067i | 0.710971 | − | 0.703221i | \(-0.248255\pi\) |
−0.703221 | + | 0.710971i | \(0.748255\pi\) | |||||||
\(594\) | −6.81306 | + | 11.3358i | −0.0114698 | + | 0.0190838i | ||||
\(595\) | 48.5662 | + | 259.043i | 0.0816239 | + | 0.435367i | ||||
\(596\) | −808.780 | + | 407.206i | −1.35701 | + | 0.683232i | ||||
\(597\) | 57.9866 | − | 1190.01i | 0.0971300 | − | 1.99331i | ||||
\(598\) | −4.97158 | − | 20.9297i | −0.00831367 | − | 0.0349995i | ||||
\(599\) | − | 337.539i | − | 0.563504i | −0.959487 | − | 0.281752i | \(-0.909084\pi\) | ||
0.959487 | − | 0.281752i | \(-0.0909155\pi\) | |||||||
\(600\) | 598.122 | − | 47.4343i | 0.996870 | − | 0.0790572i | ||||
\(601\) | −131.331 | −0.218520 | −0.109260 | − | 0.994013i | \(-0.534848\pi\) | ||||
−0.109260 | + | 0.994013i | \(0.534848\pi\) | |||||||
\(602\) | −1012.20 | + | 240.436i | −1.68140 | + | 0.399395i | ||||
\(603\) | −287.438 | − | 732.679i | −0.476679 | − | 1.21506i | ||||
\(604\) | −196.325 | − | 389.933i | −0.325041 | − | 0.645585i | ||||
\(605\) | 415.338 | − | 439.495i | 0.686510 | − | 0.726439i | ||||
\(606\) | −727.661 | + | 135.817i | −1.20076 | + | 0.224120i | ||||
\(607\) | 513.013 | − | 513.013i | 0.845161 | − | 0.845161i | −0.144364 | − | 0.989525i | \(-0.546114\pi\) |
0.989525 | + | 0.144364i | \(0.0461136\pi\) | |||||||
\(608\) | 202.091 | + | 176.848i | 0.332387 | + | 0.290869i | ||||
\(609\) | −276.371 | + | 482.772i | −0.453811 | + | 0.792729i | ||||
\(610\) | −2.64260 | − | 25.2235i | −0.00433214 | − | 0.0413499i | ||||
\(611\) | 141.979 | + | 103.154i | 0.232371 | + | 0.168827i | ||||
\(612\) | −208.698 | − | 186.958i | −0.341009 | − | 0.305487i | ||||
\(613\) | −153.412 | + | 968.603i | −0.250264 | + | 1.58010i | 0.467614 | + | 0.883933i | \(0.345114\pi\) |
−0.717877 | + | 0.696170i | \(0.754886\pi\) | |||||||
\(614\) | −190.891 | + | 309.830i | −0.310897 | + | 0.504610i | ||||
\(615\) | 71.2826 | + | 38.1749i | 0.115907 | + | 0.0620731i | ||||
\(616\) | 8.69057 | − | 10.0280i | 0.0141081 | − | 0.0162791i | ||||
\(617\) | 483.029 | + | 947.998i | 0.782868 | + | 1.53646i | 0.842779 | + | 0.538260i | \(0.180918\pi\) |
−0.0599111 | + | 0.998204i | \(0.519082\pi\) | |||||||
\(618\) | 172.342 | + | 50.8128i | 0.278870 | + | 0.0822214i | ||||
\(619\) | 50.9536 | − | 156.819i | 0.0823159 | − | 0.253342i | −0.901425 | − | 0.432935i | \(-0.857478\pi\) |
0.983741 | + | 0.179593i | \(0.0574780\pi\) | |||||||
\(620\) | −383.312 | − | 502.384i | −0.618245 | − | 0.810296i | ||||
\(621\) | 1.27458 | + | 115.748i | 0.00205246 | + | 0.186390i | ||||
\(622\) | 301.224 | + | 125.620i | 0.484283 | + | 0.201962i | ||||
\(623\) | −362.643 | + | 57.4370i | −0.582092 | + | 0.0921943i | ||||
\(624\) | −89.9710 | + | 80.0463i | −0.144184 | + | 0.128279i | ||||
\(625\) | −258.933 | − | 568.840i | −0.414293 | − | 0.910143i | ||||
\(626\) | −55.5089 | − | 727.675i | −0.0886724 | − | 1.16242i | ||||
\(627\) | 3.37726 | + | 5.15896i | 0.00538637 | + | 0.00822801i | ||||
\(628\) | −640.668 | − | 211.578i | −1.02017 | − | 0.336907i | ||||
\(629\) | 103.973 | + | 319.997i | 0.165299 | + | 0.508739i | ||||
\(630\) | −602.675 | − | 91.1297i | −0.956628 | − | 0.144650i | ||||
\(631\) | −307.316 | − | 99.8530i | −0.487030 | − | 0.158246i | 0.0552006 | − | 0.998475i | \(-0.482420\pi\) |
−0.542231 | + | 0.840230i | \(0.682420\pi\) | |||||||
\(632\) | 870.268 | + | 541.976i | 1.37701 | + | 0.857556i | ||||
\(633\) | −949.110 | − | 762.823i | −1.49938 | − | 1.20509i | ||||
\(634\) | −262.403 | − | 308.734i | −0.413884 | − | 0.486962i | ||||
\(635\) | 443.618 | + | 575.660i | 0.698610 | + | 0.906552i | ||||
\(636\) | 848.285 | + | 45.4256i | 1.33378 | + | 0.0714240i | ||||
\(637\) | 7.76360 | + | 1.22963i | 0.0121878 | + | 0.00193035i | ||||
\(638\) | 1.08440 | − | 13.3675i | 0.00169968 | − | 0.0209523i | ||||
\(639\) | 40.8027 | + | 185.264i | 0.0638539 | + | 0.289927i | ||||
\(640\) | 541.836 | − | 340.608i | 0.846618 | − | 0.532200i | ||||
\(641\) | −488.103 | − | 671.816i | −0.761471 | − | 1.04807i | −0.997090 | − | 0.0762292i | \(-0.975712\pi\) |
0.235620 | − | 0.971845i | \(-0.424288\pi\) | |||||||
\(642\) | −479.685 | + | 699.842i | −0.747173 | + | 1.09010i | ||||
\(643\) | 572.640 | + | 572.640i | 0.890575 | + | 0.890575i | 0.994577 | − | 0.104002i | \(-0.0331649\pi\) |
−0.104002 | + | 0.994577i | \(0.533165\pi\) | |||||||
\(644\) | 18.7200 | − | 114.623i | 0.0290683 | − | 0.177985i | ||||
\(645\) | −1088.23 | − | 378.344i | −1.68718 | − | 0.586580i | ||||
\(646\) | −120.808 | + | 49.7005i | −0.187010 | + | 0.0769358i | ||||
\(647\) | −571.313 | + | 1121.27i | −0.883019 | + | 1.73302i | −0.234023 | + | 0.972231i | \(0.575189\pi\) |
−0.648996 | + | 0.760792i | \(0.724811\pi\) | |||||||
\(648\) | 567.149 | − | 313.443i | 0.875229 | − | 0.483708i | ||||
\(649\) | 22.1328i | 0.0341029i | ||||||||
\(650\) | 110.345 | + | 59.6643i | 0.169762 | + | 0.0917912i | ||||
\(651\) | 263.255 | + | 585.487i | 0.404385 | + | 0.899366i | ||||
\(652\) | −1147.66 | + | 366.806i | −1.76022 | + | 0.562586i | ||||
\(653\) | 58.0201 | − | 113.871i | 0.0888517 | − | 0.174381i | −0.842304 | − | 0.539002i | \(-0.818801\pi\) |
0.931156 | + | 0.364621i | \(0.118801\pi\) | |||||||
\(654\) | 236.684 | − | 250.046i | 0.361902 | − | 0.382333i | ||||
\(655\) | 909.307 | − | 170.479i | 1.38825 | − | 0.260274i | ||||
\(656\) | 86.2479 | + | 0.829626i | 0.131475 | + | 0.00126467i | ||||
\(657\) | −859.239 | + | 51.3582i | −1.30782 | + | 0.0781708i | ||||
\(658\) | 493.113 | + | 809.047i | 0.749411 | + | 1.22956i | ||||
\(659\) | −509.592 | − | 701.393i | −0.773281 | − | 1.06433i | −0.995992 | − | 0.0894450i | \(-0.971491\pi\) |
0.222711 | − | 0.974884i | \(-0.428509\pi\) | |||||||
\(660\) | 14.0861 | − | 4.18679i | 0.0213426 | − | 0.00634361i | ||||
\(661\) | −643.501 | − | 467.531i | −0.973527 | − | 0.707309i | −0.0172743 | − | 0.999851i | \(-0.505499\pi\) |
−0.956253 | + | 0.292542i | \(0.905499\pi\) | |||||||
\(662\) | −856.907 | − | 69.5138i | −1.29442 | − | 0.105006i | ||||
\(663\) | −15.3693 | − | 56.5281i | −0.0231814 | − | 0.0852611i | ||||
\(664\) | 567.182 | + | 239.743i | 0.854190 | + | 0.361058i | ||||
\(665\) | −160.473 | + | 234.529i | −0.241313 | + | 0.352676i | ||||
\(666\) | −777.964 | − | 16.5294i | −1.16811 | − | 0.0248189i | ||||
\(667\) | −53.2902 | − | 104.588i | −0.0798953 | − | 0.156803i | ||||
\(668\) | −411.700 | + | 560.963i | −0.616317 | + | 0.839764i | ||||
\(669\) | −393.502 | + | 42.8196i | −0.588194 | + | 0.0640053i | ||||
\(670\) | −313.662 | + | 816.306i | −0.468153 | + | 1.21837i | ||||
\(671\) | −0.191946 | − | 0.590750i | −0.000286060 | − | 0.000880403i | ||||
\(672\) | −614.661 | + | 211.901i | −0.914673 | + | 0.315330i | ||||
\(673\) | 927.313 | − | 146.872i | 1.37788 | − | 0.218235i | 0.576846 | − | 0.816853i | \(-0.304283\pi\) |
0.801034 | + | 0.598618i | \(0.204283\pi\) | |||||||
\(674\) | −144.234 | + | 11.0026i | −0.213998 | + | 0.0163243i | ||||
\(675\) | −508.410 | − | 444.010i | −0.753200 | − | 0.657792i | ||||
\(676\) | 643.292 | − | 98.7184i | 0.951616 | − | 0.146033i | ||||
\(677\) | −227.018 | + | 35.9561i | −0.335329 | + | 0.0531109i | −0.321829 | − | 0.946798i | \(-0.604297\pi\) |
−0.0135004 | + | 0.999909i | \(0.504297\pi\) | |||||||
\(678\) | 19.3237 | + | 703.896i | 0.0285011 | + | 1.03819i | ||||
\(679\) | −34.0713 | − | 104.861i | −0.0501786 | − | 0.154434i | ||||
\(680\) | 30.9498 | + | 309.783i | 0.0455144 | + | 0.455563i | ||||
\(681\) | 35.1778 | − | 3.82793i | 0.0516561 | − | 0.00562104i | ||||
\(682\) | −11.7445 | − | 10.0797i | −0.0172206 | − | 0.0147796i | ||||
\(683\) | −115.833 | − | 227.334i | −0.169594 | − | 0.332847i | 0.790529 | − | 0.612424i | \(-0.209806\pi\) |
−0.960123 | + | 0.279578i | \(0.909806\pi\) | |||||||
\(684\) | −16.5750 | − | 301.658i | −0.0242325 | − | 0.441020i | ||||
\(685\) | −704.516 | + | 251.126i | −1.02849 | + | 0.366607i | ||||
\(686\) | 601.197 | + | 370.406i | 0.876381 | + | 0.539950i | ||||
\(687\) | −31.8803 | − | 117.256i | −0.0464050 | − | 0.170678i | ||||
\(688\) | −1215.59 | + | 180.563i | −1.76685 | + | 0.262446i | ||||
\(689\) | 143.686 | + | 104.394i | 0.208543 | + | 0.151516i | ||||
\(690\) | 85.7420 | − | 95.8676i | 0.124264 | − | 0.138939i | ||||
\(691\) | 534.889 | + | 736.212i | 0.774080 | + | 1.06543i | 0.995911 | + | 0.0903448i | \(0.0287969\pi\) |
−0.221830 | + | 0.975085i | \(0.571203\pi\) | |||||||
\(692\) | −260.339 | − | 361.975i | −0.376213 | − | 0.523085i | ||||
\(693\) | −14.9019 | + | 0.890710i | −0.0215034 | + | 0.00128530i | ||||
\(694\) | −44.2721 | + | 182.472i | −0.0637926 | + | 0.262928i | ||||
\(695\) | 66.2925 | − | 511.732i | 0.0953849 | − | 0.736305i | ||||
\(696\) | −374.105 | + | 540.215i | −0.537507 | + | 0.776171i | ||||
\(697\) | −19.0480 | + | 37.3838i | −0.0273286 | + | 0.0536353i | ||||
\(698\) | −278.700 | − | 1173.29i | −0.399283 | − | 1.68093i | ||||
\(699\) | −260.172 | − | 578.632i | −0.372207 | − | 0.827799i | ||||
\(700\) | 425.858 | + | 526.607i | 0.608368 | + | 0.752295i | ||||
\(701\) | 146.700i | 0.209272i | 0.994511 | + | 0.104636i | \(0.0333677\pi\) | ||||
−0.994511 | + | 0.104636i | \(0.966632\pi\) | |||||||
\(702\) | 135.147 | + | 9.46671i | 0.192517 | + | 0.0134853i | ||||
\(703\) | −164.702 | + | 323.246i | −0.234284 | + | 0.459809i | ||||
\(704\) | 11.2425 | − | 10.9227i | 0.0159695 | − | 0.0155152i | ||||
\(705\) | −21.4429 | + | 1049.04i | −0.0304154 | + | 1.48799i | ||||
\(706\) | 125.386 | − | 516.794i | 0.177601 | − | 0.732003i | ||||
\(707\) | −590.812 | − | 590.812i | −0.835660 | − | 0.835660i | ||||
\(708\) | 543.276 | − | 938.511i | 0.767339 | − | 1.32558i | ||||
\(709\) | −441.961 | − | 608.307i | −0.623358 | − | 0.857979i | 0.374234 | − | 0.927334i | \(-0.377906\pi\) |
−0.997592 | + | 0.0693554i | \(0.977906\pi\) | |||||||
\(710\) | 105.452 | − | 182.507i | 0.148523 | − | 0.257052i | ||||
\(711\) | −248.078 | − | 1126.39i | −0.348914 | − | 1.58424i | ||||
\(712\) | −432.607 | + | 30.9085i | −0.607595 | + | 0.0434108i | ||||
\(713\) | −133.791 | − | 21.1904i | −0.187645 | − | 0.0297200i | ||||
\(714\) | 40.8844 | − | 313.614i | 0.0572610 | − | 0.439236i | ||||
\(715\) | 2.94761 | + | 0.866484i | 0.00412253 | + | 0.00121187i | ||||
\(716\) | 281.380 | − | 278.686i | 0.392989 | − | 0.389227i | ||||
\(717\) | 277.645 | + | 223.151i | 0.387232 | + | 0.311228i | ||||
\(718\) | 211.268 | + | 181.320i | 0.294244 | + | 0.252535i | ||||
\(719\) | −9.79504 | − | 3.18260i | −0.0136231 | − | 0.00442643i | 0.302197 | − | 0.953245i | \(-0.402280\pi\) |
−0.315821 | + | 0.948819i | \(0.602280\pi\) | |||||||
\(720\) | −700.072 | − | 168.225i | −0.972322 | − | 0.233646i | ||||
\(721\) | 62.6718 | + | 192.884i | 0.0869235 | + | 0.267523i | ||||
\(722\) | 536.374 | + | 223.686i | 0.742901 | + | 0.309815i | ||||
\(723\) | 268.654 | + | 410.385i | 0.371582 | + | 0.567614i | ||||
\(724\) | 130.310 | + | 849.156i | 0.179986 | + | 1.17287i | ||||
\(725\) | 661.890 | + | 174.417i | 0.912951 | + | 0.240574i | ||||
\(726\) | −637.266 | + | 347.052i | −0.877777 | + | 0.478034i | ||||
\(727\) | −685.363 | + | 108.551i | −0.942727 | + | 0.149313i | −0.608834 | − | 0.793298i | \(-0.708362\pi\) |
−0.333893 | + | 0.942611i | \(0.608362\pi\) | |||||||
\(728\) | −131.942 | − | 32.6849i | −0.181239 | − | 0.0448969i | ||||
\(729\) | −698.113 | − | 209.951i | −0.957631 | − | 0.287999i | ||||
\(730\) | 743.073 | + | 602.138i | 1.01791 | + | 0.824847i | ||||
\(731\) | 184.733 | − | 568.549i | 0.252713 | − | 0.777769i | ||||
\(732\) | −6.36145 | + | 29.7615i | −0.00869050 | + | 0.0406578i | ||||
\(733\) | 501.727 | + | 984.694i | 0.684484 | + | 1.34338i | 0.927672 | + | 0.373396i | \(0.121807\pi\) |
−0.243188 | + | 0.969979i | \(0.578193\pi\) | |||||||
\(734\) | 513.527 | + | 604.199i | 0.699628 | + | 0.823159i | ||||
\(735\) | 20.4755 | + | 42.3009i | 0.0278578 | + | 0.0575522i | ||||
\(736\) | 33.6283 | − | 133.006i | 0.0456906 | − | 0.180715i | ||||
\(737\) | −3.35052 | + | 21.1543i | −0.00454615 | + | 0.0287033i | ||||
\(738\) | −67.1400 | − | 70.0550i | −0.0909756 | − | 0.0949255i | ||||
\(739\) | 333.441 | + | 242.259i | 0.451206 | + | 0.327820i | 0.790072 | − | 0.613014i | \(-0.210043\pi\) |
−0.338866 | + | 0.940835i | \(0.610043\pi\) | |||||||
\(740\) | 625.527 | + | 596.866i | 0.845306 | + | 0.806575i | ||||
\(741\) | 31.3806 | − | 54.8164i | 0.0423489 | − | 0.0739763i | ||||
\(742\) | 499.044 | + | 818.778i | 0.672566 | + | 1.10347i | ||||
\(743\) | −871.076 | + | 871.076i | −1.17238 | + | 1.17238i | −0.190735 | + | 0.981642i | \(0.561087\pi\) |
−0.981642 | + | 0.190735i | \(0.938913\pi\) | |||||||
\(744\) | 250.591 | + | 715.697i | 0.336816 | + | 0.961958i | ||||
\(745\) | −542.148 | − | 993.598i | −0.727715 | − | 1.33369i | ||||
\(746\) | −556.903 | + | 229.109i | −0.746519 | + | 0.307117i | ||||
\(747\) | −252.997 | − | 644.889i | −0.338684 | − | 0.863306i | ||||
\(748\) | 2.32133 | + | 7.26300i | 0.00310339 | + | 0.00970989i | ||||
\(749\) | −957.696 | −1.27863 | ||||||||
\(750\) | 83.9743 | + | 745.284i | 0.111966 | + | 0.993712i | ||||
\(751\) | 1459.19i | 1.94300i | 0.237047 | + | 0.971498i | \(0.423821\pi\) | ||||
−0.237047 | + | 0.971498i | \(0.576179\pi\) | |||||||
\(752\) | 498.493 | + | 1002.06i | 0.662890 | + | 1.33253i | ||||
\(753\) | 21.8067 | − | 447.520i | 0.0289598 | − | 0.594315i | ||||
\(754\) | −127.050 | + | 52.2684i | −0.168502 | + | 0.0693214i | ||||
\(755\) | 479.039 | − | 261.383i | 0.634488 | − | 0.346203i | ||||
\(756\) | 653.757 | + | 328.015i | 0.864758 | + | 0.433882i | ||||
\(757\) | 905.091 | + | 905.091i | 1.19563 | + | 1.19563i | 0.975462 | + | 0.220167i | \(0.0706602\pi\) |
0.220167 | + | 0.975462i | \(0.429340\pi\) | |||||||
\(758\) | −324.014 | − | 531.608i | −0.427459 | − | 0.701330i | ||||
\(759\) | 1.56501 | − | 2.73380i | 0.00206194 | − | 0.00360185i | ||||
\(760\) | −212.590 | + | 259.783i | −0.279723 | + | 0.341820i | ||||
\(761\) | 90.4046 | − | 124.431i | 0.118797 | − | 0.163510i | −0.745477 | − | 0.666531i | \(-0.767778\pi\) |
0.864274 | + | 0.503021i | \(0.167778\pi\) | |||||||
\(762\) | −292.158 | − | 821.721i | −0.383409 | − | 1.07837i | ||||
\(763\) | 383.844 | + | 60.7949i | 0.503072 | + | 0.0796788i | ||||
\(764\) | −95.7855 | + | 185.775i | −0.125374 | + | 0.243162i | ||||
\(765\) | 224.946 | − | 268.454i | 0.294048 | − | 0.350921i | ||||
\(766\) | 651.971 | + | 767.087i | 0.851136 | + | 1.00142i | ||||
\(767\) | 202.009 | − | 102.929i | 0.263375 | − | 0.134196i | ||||
\(768\) | −744.835 | + | 187.201i | −0.969838 | + | 0.243752i | ||||
\(769\) | 685.894 | + | 222.860i | 0.891930 | + | 0.289806i | 0.718902 | − | 0.695111i | \(-0.244645\pi\) |
0.173028 | + | 0.984917i | \(0.444645\pi\) | |||||||
\(770\) | 12.8872 | + | 10.4429i | 0.0167366 | + | 0.0135623i | ||||
\(771\) | 293.949 | + | 324.063i | 0.381256 | + | 0.420315i | ||||
\(772\) | 130.005 | − | 393.663i | 0.168401 | − | 0.509927i | ||||
\(773\) | 129.316 | + | 816.470i | 0.167291 | + | 1.05623i | 0.918283 | + | 0.395924i | \(0.129576\pi\) |
−0.750992 | + | 0.660311i | \(0.770424\pi\) | |||||||
\(774\) | 1100.99 | + | 836.217i | 1.42247 | + | 1.08038i | ||||
\(775\) | 611.798 | − | 499.636i | 0.789417 | − | 0.644692i | ||||
\(776\) | −29.4896 | − | 126.858i | −0.0380021 | − | 0.163477i | ||||
\(777\) | −481.072 | − | 734.866i | −0.619140 | − | 0.945774i | ||||
\(778\) | −657.608 | − | 274.245i | −0.845255 | − | 0.352500i | ||||
\(779\) | −43.0251 | + | 13.9797i | −0.0552312 | + | 0.0179457i | ||||
\(780\) | −103.721 | − | 109.095i | −0.132975 | − | 0.139865i | ||||
\(781\) | 1.59528 | − | 4.90977i | 0.00204262 | − | 0.00628652i | ||||
\(782\) | 50.6422 | + | 43.4635i | 0.0647598 | + | 0.0555800i | ||||
\(783\) | 728.824 | − | 123.676i | 0.930810 | − | 0.157951i | ||||
\(784\) | 40.2698 | + | 29.8537i | 0.0513646 | + | 0.0380787i | ||||
\(785\) | 237.856 | − | 809.140i | 0.303001 | − | 1.03075i | ||||
\(786\) | −1100.86 | − | 143.514i | −1.40059 | − | 0.182588i | ||||
\(787\) | 51.8417 | − | 327.316i | 0.0658725 | − | 0.415903i | −0.932613 | − | 0.360879i | \(-0.882477\pi\) |
0.998485 | − | 0.0550235i | \(-0.0175234\pi\) | |||||||
\(788\) | −1141.81 | − | 5.49146i | −1.44900 | − | 0.00696885i | ||||
\(789\) | −480.702 | − | 100.334i | −0.609255 | − | 0.127166i | ||||
\(790\) | −641.141 | + | 1109.63i | −0.811570 | + | 1.40460i | ||||
\(791\) | −643.026 | + | 467.186i | −0.812928 | + | 0.590627i | ||||
\(792\) | −17.6282 | − | 0.459375i | −0.0222578 | − | 0.000580018i | ||||
\(793\) | −4.49920 | + | 4.49920i | −0.00567365 | + | 0.00567365i | ||||
\(794\) | −80.3816 | + | 331.302i | −0.101236 | + | 0.417257i | ||||
\(795\) | −21.7008 | + | 1061.65i | −0.0272966 | + | 1.33541i | ||||
\(796\) | 1418.87 | − | 714.374i | 1.78250 | − | 0.897455i | ||||
\(797\) | 1375.35 | + | 700.777i | 1.72566 | + | 0.879268i | 0.976097 | + | 0.217336i | \(0.0697366\pi\) |
0.749564 | + | 0.661932i | \(0.230263\pi\) | |||||||
\(798\) | 270.279 | − | 207.936i | 0.338695 | − | 0.260572i | ||||
\(799\) | −544.433 | −0.681393 | ||||||||
\(800\) | 447.916 | + | 662.851i | 0.559895 | + | 0.828564i | ||||
\(801\) | 364.985 | + | 323.814i | 0.455662 | + | 0.404263i | ||||
\(802\) | 10.2741 | + | 43.2527i | 0.0128106 | + | 0.0539311i | ||||
\(803\) | 20.8713 | + | 10.6344i | 0.0259916 | + | 0.0132434i | ||||
\(804\) | 661.333 | − | 814.779i | 0.822553 | − | 1.01341i | ||||
\(805\) | 143.973 | + | 18.6511i | 0.178849 | + | 0.0231691i | ||||
\(806\) | −37.3807 | + | 154.069i | −0.0463780 | + | 0.191152i | ||||
\(807\) | −806.837 | − | 306.323i | −0.999798 | − | 0.379582i | ||||
\(808\) | −635.555 | − | 755.103i | −0.786578 | − | 0.934533i | ||||
\(809\) | 1016.30 | − | 738.382i | 1.25624 | − | 0.912709i | 0.257670 | − | 0.966233i | \(-0.417045\pi\) |
0.998567 | + | 0.0535239i | \(0.0170453\pi\) | |||||||
\(810\) | 415.023 | + | 695.597i | 0.512374 | + | 0.858762i | ||||
\(811\) | 376.909 | − | 518.771i | 0.464746 | − | 0.639668i | −0.510738 | − | 0.859736i | \(-0.670628\pi\) |
0.975485 | + | 0.220068i | \(0.0706279\pi\) | |||||||
\(812\) | −741.700 | − | 3.56716i | −0.913424 | − | 0.00439305i | ||||
\(813\) | −121.388 | − | 446.463i | −0.149308 | − | 0.549156i | ||||
\(814\) | 18.0286 | + | 11.1076i | 0.0221481 | + | 0.0136458i | ||||
\(815\) | −505.677 | − | 1418.64i | −0.620463 | − | 1.74066i | ||||
\(816\) | 79.8461 | − | 364.958i | 0.0978506 | − | 0.447252i | ||||
\(817\) | 574.322 | − | 292.631i | 0.702964 | − | 0.358178i | ||||
\(818\) | 288.812 | + | 247.872i | 0.353071 | + | 0.303023i | ||||
\(819\) | 77.4307 | + | 131.869i | 0.0945430 | + | 0.161012i | ||||
\(820\) | 2.52721 | + | 107.785i | 0.00308196 | + | 0.131445i | ||||
\(821\) | −482.594 | + | 156.804i | −0.587812 | + | 0.190992i | −0.587797 | − | 0.809008i | \(-0.700005\pi\) |
−1.48519e−5 | 1.00000i | \(0.500005\pi\) | ||||||||
\(822\) | 897.184 | − | 24.6300i | 1.09146 | − | 0.0299635i | ||||
\(823\) | 80.2367 | + | 506.594i | 0.0974929 | + | 0.615546i | 0.987258 | + | 0.159127i | \(0.0508681\pi\) |
−0.889765 | + | 0.456419i | \(0.849132\pi\) | |||||||
\(824\) | 54.2443 | + | 233.347i | 0.0658304 | + | 0.283188i | ||||
\(825\) | 5.81264 | + | 17.4250i | 0.00704563 | + | 0.0211212i | ||||
\(826\) | 1220.49 | − | 93.1020i | 1.47759 | − | 0.112714i | ||||
\(827\) | −189.287 | − | 1195.11i | −0.228884 | − | 1.44511i | −0.787821 | − | 0.615904i | \(-0.788791\pi\) |
0.558937 | − | 0.829210i | \(-0.311209\pi\) | |||||||
\(828\) | −133.467 | + | 77.5082i | −0.161192 | + | 0.0936089i | ||||
\(829\) | 20.1190 | − | 6.53707i | 0.0242690 | − | 0.00788549i | −0.296857 | − | 0.954922i | \(-0.595939\pi\) |
0.321126 | + | 0.947036i | \(0.395939\pi\) | |||||||
\(830\) | −276.079 | + | 718.496i | −0.332626 | + | 0.865658i | ||||
\(831\) | 831.638 | − | 90.4961i | 1.00077 | − | 0.108900i | ||||
\(832\) | −151.976 | − | 51.8159i | −0.182664 | − | 0.0622787i | ||||
\(833\) | −21.7272 | + | 11.0705i | −0.0260830 | + | 0.0132900i | ||||
\(834\) | −265.869 | + | 559.227i | −0.318788 | + | 0.670536i | ||||
\(835\) | −717.831 | − | 491.165i | −0.859678 | − | 0.588222i | ||||
\(836\) | −3.76765 | + | 7.30734i | −0.00450676 | + | 0.00874084i | ||||
\(837\) | 378.900 | − | 764.324i | 0.452688 | − | 0.913171i | ||||
\(838\) | −110.406 | − | 8.95636i | −0.131750 | − | 0.0106878i | ||||
\(839\) | 734.802 | − | 1011.37i | 0.875806 | − | 1.20544i | −0.101758 | − | 0.994809i | \(-0.532447\pi\) |
0.977565 | − | 0.210635i | \(-0.0675532\pi\) | |||||||
\(840\) | −290.129 | − | 759.150i | −0.345392 | − | 0.903750i | ||||
\(841\) | 73.9194 | − | 53.7056i | 0.0878946 | − | 0.0638592i | ||||
\(842\) | −160.492 | − | 263.318i | −0.190608 | − | 0.312729i | ||||
\(843\) | −255.863 | + | 673.928i | −0.303514 | + | 0.799440i | ||||
\(844\) | 261.689 | − | 1602.32i | 0.310058 | − | 1.89849i | ||||
\(845\) | 149.911 | + | 799.597i | 0.177409 | + | 0.946268i | ||||
\(846\) | 414.435 | − | 1188.95i | 0.489876 | − | 1.40537i | ||||
\(847\) | −729.795 | − | 371.849i | −0.861623 | − | 0.439019i | ||||
\(848\) | 504.489 | + | 1014.11i | 0.594916 | + | 1.19589i | ||||
\(849\) | 124.079 | + | 275.957i | 0.146148 | + | 0.325037i | ||||
\(850\) | −385.738 | + | 51.4660i | −0.453810 | + | 0.0605482i | ||||
\(851\) | 185.337 | 0.217787 | ||||||||
\(852\) | −188.162 | + | 169.034i | −0.220848 | + | 0.198397i | ||||
\(853\) | −852.238 | − | 434.237i | −0.999106 | − | 0.509070i | −0.123629 | − | 0.992329i | \(-0.539453\pi\) |
−0.875478 | + | 0.483258i | \(0.839453\pi\) | |||||||
\(854\) | −31.7689 | + | 13.0697i | −0.0372001 | + | 0.0153041i | ||||
\(855\) | 376.181 | − | 33.1717i | 0.439978 | − | 0.0387973i | ||||
\(856\) | −1127.12 | − | 96.8923i | −1.31673 | − | 0.113192i | ||||
\(857\) | 674.156 | − | 674.156i | 0.786647 | − | 0.786647i | −0.194296 | − | 0.980943i | \(-0.562242\pi\) |
0.980943 | + | 0.194296i | \(0.0622423\pi\) | |||||||
\(858\) | −3.04103 | − | 2.08438i | −0.00354432 | − | 0.00242934i | ||||
\(859\) | −823.386 | + | 598.225i | −0.958540 | + | 0.696420i | −0.952811 | − | 0.303563i | \(-0.901824\pi\) |
−0.00572908 | + | 0.999984i | \(0.501824\pi\) | |||||||
\(860\) | −275.808 | − | 1511.20i | −0.320707 | − | 1.75721i | ||||
\(861\) | 22.3785 | − | 107.216i | 0.0259913 | − | 0.124525i | ||||
\(862\) | 21.9509 | − | 270.592i | 0.0254651 | − | 0.313912i | ||||
\(863\) | −84.1193 | + | 531.109i | −0.0974732 | + | 0.615421i | 0.889795 | + | 0.456360i | \(0.150847\pi\) |
−0.987269 | + | 0.159062i | \(0.949153\pi\) | |||||||
\(864\) | 736.224 | + | 452.184i | 0.852111 | + | 0.523361i | ||||
\(865\) | 441.464 | − | 340.203i | 0.510363 | − | 0.393298i | ||||
\(866\) | 574.821 | + | 676.316i | 0.663766 | + | 0.780965i | ||||
\(867\) | −534.133 | − | 429.296i | −0.616070 | − | 0.495151i | ||||
\(868\) | −506.429 | + | 690.036i | −0.583443 | + | 0.794972i | ||||
\(869\) | −9.69924 | + | 29.8512i | −0.0111614 | + | 0.0343512i | ||||
\(870\) | −690.358 | − | 445.055i | −0.793515 | − | 0.511557i | ||||
\(871\) | 208.660 | − | 67.7976i | 0.239563 | − | 0.0778389i | ||||
\(872\) | 445.597 | + | 110.384i | 0.511006 | + | 0.126587i | ||||
\(873\) | −78.8966 | + | 123.465i | −0.0903741 | + | 0.141426i | ||||
\(874\) | 5.47317 | + | 71.7486i | 0.00626220 | + | 0.0820922i | ||||
\(875\) | −640.303 | + | 553.790i | −0.731775 | + | 0.632903i | ||||
\(876\) | −623.984 | − | 963.251i | −0.712310 | − | 1.09960i | ||||
\(877\) | 161.972 | + | 1022.65i | 0.184689 | + | 1.16608i | 0.889586 | + | 0.456768i | \(0.150993\pi\) |
−0.704897 | + | 0.709309i | \(0.749007\pi\) | |||||||
\(878\) | 381.192 | + | 158.970i | 0.434159 | + | 0.181059i | ||||
\(879\) | 973.902 | − | 883.399i | 1.10797 | − | 1.00500i | ||||
\(880\) | 14.1104 | + | 13.5942i | 0.0160346 | + | 0.0154479i | ||||
\(881\) | 1197.70 | + | 389.155i | 1.35947 | + | 0.441720i | 0.895867 | − | 0.444321i | \(-0.146555\pi\) |
0.463606 | + | 0.886041i | \(0.346555\pi\) | |||||||
\(882\) | −7.63692 | − | 55.8755i | −0.00865864 | − | 0.0633509i | ||||
\(883\) | 989.523 | − | 504.187i | 1.12064 | − | 0.570994i | 0.207333 | − | 0.978270i | \(-0.433522\pi\) |
0.913305 | + | 0.407277i | \(0.133522\pi\) | |||||||
\(884\) | 55.4949 | − | 54.9637i | 0.0627771 | − | 0.0621761i | ||||
\(885\) | 1194.95 | + | 639.946i | 1.35022 | + | 0.723102i | ||||
\(886\) | 781.525 | − | 1268.48i | 0.882082 | − | 1.43169i | ||||
\(887\) | 965.413 | + | 152.906i | 1.08840 | + | 0.172386i | 0.674748 | − | 0.738048i | \(-0.264252\pi\) |
0.413654 | + | 0.910434i | \(0.364252\pi\) | |||||||
\(888\) | −491.827 | − | 913.538i | −0.553860 | − | 1.02876i | ||||
\(889\) | 578.616 | − | 796.396i | 0.650861 | − | 0.895834i | ||||
\(890\) | −56.4893 | − | 539.187i | −0.0634712 | − | 0.605828i | ||||
\(891\) | 13.4895 | + | 14.5464i | 0.0151397 | + | 0.0163259i | ||||
\(892\) | −308.156 | − | 428.459i | −0.345467 | − | 0.480335i | ||||
\(893\) | −415.090 | − | 415.090i | −0.464826 | − | 0.464826i | ||||
\(894\) | 249.213 | + | 1335.20i | 0.278762 | + | 1.49351i | ||||
\(895\) | 359.794 | + | 340.018i | 0.402004 | + | 0.379908i | ||||
\(896\) | −649.612 | − | 574.010i | −0.725014 | − | 0.640637i | ||||
\(897\) | −32.2298 | − | 1.57050i | −0.0359307 | − | 0.00175083i | ||||
\(898\) | −1032.44 | + | 245.242i | −1.14971 | + | 0.273098i | ||||
\(899\) | 865.073i | 0.962262i | ||||||||
\(900\) | 181.240 | − | 881.562i | 0.201378 | − | 0.979514i | ||||
\(901\) | −550.981 | −0.611522 | ||||||||
\(902\) | 0.610258 | + | 2.56911i | 0.000676560 | + | 0.00284823i | ||||
\(903\) | −75.9525 | + | 1558.70i | −0.0841113 | + | 1.72614i | ||||
\(904\) | −804.046 | + | 484.777i | −0.889432 | + | 0.536257i | ||||
\(905\) | −1055.48 | + | 197.884i | −1.16628 | + | 0.218657i | ||||
\(906\) | −643.735 | + | 120.152i | −0.710524 | + | 0.132618i | ||||
\(907\) | 514.075 | − | 514.075i | 0.566786 | − | 0.566786i | −0.364440 | − | 0.931227i | \(-0.618740\pi\) |
0.931227 | + | 0.364440i | \(0.118740\pi\) | |||||||
\(908\) | 27.5482 | + | 38.3029i | 0.0303394 | + | 0.0421838i | ||||
\(909\) | −107.953 | + | 1105.08i | −0.118760 | + | 1.21571i | ||||
\(910\) | 35.3821 | − | 166.188i | 0.0388814 | − | 0.182624i | ||||
\(911\) | −964.623 | − | 700.840i | −1.05886 | − | 0.769308i | −0.0849841 | − | 0.996382i | \(-0.527084\pi\) |
−0.973877 | + | 0.227074i | \(0.927084\pi\) | |||||||
\(912\) | 339.130 | − | 217.377i | 0.371853 | − | 0.238351i | ||||
\(913\) | −2.94906 | + | 18.6196i | −0.00323007 | + | 0.0203939i | ||||
\(914\) | −288.583 | − | 177.800i | −0.315737 | − | 0.194530i | ||||
\(915\) | −37.4444 | − | 6.71775i | −0.0409229 | − | 0.00734180i | ||||
\(916\) | 115.112 | − | 114.010i | 0.125669 | − | 0.124466i | ||||
\(917\) | −568.904 | − | 1116.54i | −0.620397 | − | 1.21760i | ||||
\(918\) | −356.452 | + | 222.676i | −0.388292 | + | 0.242567i | ||||
\(919\) | −158.182 | + | 486.836i | −0.172125 | + | 0.529745i | −0.999490 | − | 0.0319183i | \(-0.989838\pi\) |
0.827366 | + | 0.561663i | \(0.189838\pi\) | |||||||
\(920\) | 167.556 | + | 36.5167i | 0.182126 | + | 0.0396921i | ||||
\(921\) | 366.747 | + | 404.319i | 0.398205 | + | 0.439000i | ||||
\(922\) | 67.1237 | − | 160.955i | 0.0728023 | − | 0.174572i | ||||
\(923\) | −52.2310 | + | 8.27258i | −0.0565883 | + | 0.00896270i | ||||
\(924\) | −10.8218 | − | 16.7057i | −0.0117119 | − | 0.0180798i | ||||
\(925\) | −719.828 | + | 806.143i | −0.778193 | + | 0.871506i | ||||
\(926\) | −432.679 | + | 33.0058i | −0.467256 | + | 0.0356435i | ||||
\(927\) | 145.125 | − | 227.106i | 0.156553 | − | 0.244990i | ||||
\(928\) | −872.550 | − | 79.2377i | −0.940248 | − | 0.0853855i | ||||
\(929\) | 51.8395 | + | 159.545i | 0.0558014 | + | 0.171739i | 0.975073 | − | 0.221885i | \(-0.0712211\pi\) |
−0.919271 | + | 0.393624i | \(0.871221\pi\) | |||||||
\(930\) | −883.778 | + | 342.639i | −0.950299 | + | 0.368429i | ||||
\(931\) | −25.0058 | − | 8.12488i | −0.0268591 | − | 0.00872705i | ||||
\(932\) | 500.499 | − | 681.956i | 0.537016 | − | 0.731713i | ||||
\(933\) | 306.687 | − | 381.582i | 0.328711 | − | 0.408984i | ||||
\(934\) | 819.577 | − | 696.584i | 0.877492 | − | 0.745807i | ||||
\(935\) | −8.97787 | + | 3.20018i | −0.00960200 | + | 0.00342265i | ||||
\(936\) | 77.7871 | + | 163.031i | 0.0831059 | + | 0.174178i | ||||
\(937\) | −504.872 | − | 79.9639i | −0.538818 | − | 0.0853403i | −0.118906 | − | 0.992905i | \(-0.537939\pi\) |
−0.419911 | + | 0.907565i | \(0.637939\pi\) | |||||||
\(938\) | 1180.63 | + | 95.7745i | 1.25866 | + | 0.102105i | ||||
\(939\) | −1071.59 | − | 223.666i | −1.14120 | − | 0.238196i | ||||
\(940\) | −1231.29 | + | 664.180i | −1.30989 | + | 0.706575i | ||||
\(941\) | −634.898 | − | 873.862i | −0.674706 | − | 0.928653i | 0.325150 | − | 0.945663i | \(-0.394585\pi\) |
−0.999855 | + | 0.0170099i | \(0.994585\pi\) | |||||||
\(942\) | −572.176 | + | 834.782i | −0.607405 | + | 0.886181i | ||||
\(943\) | 16.3422 | + | 16.3422i | 0.0173300 | + | 0.0173300i | ||||
\(944\) | 1445.82 | + | 13.9074i | 1.53159 | + | 0.0147325i | ||||
\(945\) | −382.782 | + | 830.303i | −0.405060 | + | 0.878628i | ||||
\(946\) | −14.3143 | − | 34.7942i | −0.0151314 | − | 0.0367803i | ||||
\(947\) | −352.705 | + | 692.223i | −0.372445 | + | 0.730964i | −0.998820 | − | 0.0485572i | \(-0.984538\pi\) |
0.626376 | + | 0.779521i | \(0.284538\pi\) | |||||||
\(948\) | 1144.02 | − | 1027.72i | 1.20677 | − | 1.08409i | ||||
\(949\) | − | 239.950i | − | 0.252845i | ||||||
\(950\) | −333.336 | − | 254.858i | −0.350880 | − | 0.268271i | ||||
\(951\) | −554.316 | + | 249.239i | −0.582877 | + | 0.262081i | ||||
\(952\) | 390.746 | − | 158.559i | 0.410447 | − | 0.166554i | ||||
\(953\) | −473.790 | + | 929.866i | −0.497157 | + | 0.975725i | 0.496997 | + | 0.867752i | \(0.334436\pi\) |
−0.994154 | + | 0.107973i | \(0.965564\pi\) | |||||||
\(954\) | 419.419 | − | 1203.25i | 0.439643 | − | 1.26126i | ||||
\(955\) | −236.050 | − | 111.990i | −0.247173 | − | 0.117267i | ||||
\(956\) | −76.5525 | + | 468.732i | −0.0800758 | + | 0.490305i | ||||
\(957\) | −18.8073 | − | 7.14037i | −0.0196524 | − | 0.00746120i | ||||
\(958\) | −716.275 | + | 436.568i | −0.747677 | + | 0.455708i | ||||
\(959\) | 595.473 | + | 819.599i | 0.620931 | + | 0.854639i | ||||
\(960\) | −264.649 | − | 922.800i | −0.275676 | − | 0.961250i | ||||
\(961\) | 30.1713 | + | 21.9208i | 0.0313958 | + | 0.0228104i | ||||
\(962\) | 17.5389 | − | 216.205i | 0.0182318 | − | 0.224746i | ||||
\(963\) | 808.165 | + | 983.155i | 0.839216 | + | 1.02093i | ||||
\(964\) | −299.709 | + | 581.284i | −0.310901 | + | 0.602991i | ||||
\(965\) | 497.182 | + | 146.152i | 0.515214 | + | 0.151453i | ||||
\(966\) | −157.336 | − | 74.8011i | −0.162874 | − | 0.0774338i | ||||
\(967\) | −844.520 | − | 1657.46i | −0.873340 | − | 1.71403i | −0.680433 | − | 0.732810i | \(-0.738208\pi\) |
−0.192907 | − | 0.981217i | \(-0.561792\pi\) | |||||||
\(968\) | −821.278 | − | 511.466i | −0.848428 | − | 0.528374i | ||||
\(969\) | 21.1973 | + | 194.799i | 0.0218755 | + | 0.201031i | ||||
\(970\) | 157.267 | − | 42.0835i | 0.162131 | − | 0.0433851i | ||||
\(971\) | 80.5211 | + | 247.818i | 0.0829259 | + | 0.255220i | 0.983919 | − | 0.178613i | \(-0.0571609\pi\) |
−0.900994 | + | 0.433833i | \(0.857161\pi\) | |||||||
\(972\) | −214.947 | − | 947.936i | −0.221139 | − | 0.975242i | ||||
\(973\) | −690.330 | + | 109.337i | −0.709486 | + | 0.112371i | ||||
\(974\) | 93.4410 | + | 1224.93i | 0.0959353 | + | 1.25763i | ||||
\(975\) | 132.008 | − | 134.088i | 0.135393 | − | 0.137526i | ||||
\(976\) | −38.7112 | + | 12.1676i | −0.0396631 | + | 0.0124668i | ||||
\(977\) | −612.815 | + | 97.0604i | −0.627242 | + | 0.0993453i | −0.461959 | − | 0.886901i | \(-0.652853\pi\) |
−0.165282 | + | 0.986246i | \(0.552853\pi\) | |||||||
\(978\) | 49.5959 | + | 1806.61i | 0.0507116 | + | 1.84724i | ||||
\(979\) | −4.10312 | − | 12.6281i | −0.00419114 | − | 0.0128990i | ||||
\(980\) | −35.6329 | + | 51.5433i | −0.0363601 | + | 0.0525952i | ||||
\(981\) | −261.501 | − | 445.350i | −0.266565 | − | 0.453976i | ||||
\(982\) | −441.649 | + | 514.594i | −0.449744 | + | 0.524026i | ||||
\(983\) | 534.632 | + | 1049.27i | 0.543878 | + | 1.06742i | 0.985414 | + | 0.170176i | \(0.0544337\pi\) |
−0.441536 | + | 0.897243i | \(0.645566\pi\) | |||||||
\(984\) | 37.1847 | − | 123.919i | 0.0377893 | − | 0.125934i | ||||
\(985\) | −40.3178 | − | 1426.71i | −0.0409318 | − | 1.44844i | ||||
\(986\) | 223.559 | − | 362.854i | 0.226734 | − | 0.368006i | ||||
\(987\) | 1371.43 | − | 372.875i | 1.38950 | − | 0.377786i | ||||
\(988\) | 84.2165 | + | 0.405033i | 0.0852394 | + | 0.000409953i | ||||
\(989\) | −266.405 | − | 193.554i | −0.269368 | − | 0.195707i | ||||
\(990\) | −0.154473 | − | 22.0422i | −0.000156033 | − | 0.0222648i | ||||
\(991\) | 317.264 | + | 436.676i | 0.320145 | + | 0.440642i | 0.938511 | − | 0.345248i | \(-0.112205\pi\) |
−0.618367 | + | 0.785890i | \(0.712205\pi\) | |||||||
\(992\) | −665.831 | + | 760.870i | −0.671200 | + | 0.767006i | ||||
\(993\) | −457.723 | + | 1205.62i | −0.460950 | + | 1.21412i | ||||
\(994\) | −277.455 | − | 67.3171i | −0.279130 | − | 0.0677234i | ||||
\(995\) | 951.106 | + | 1743.10i | 0.955886 | + | 1.75186i | ||||
\(996\) | 582.092 | − | 717.152i | 0.584429 | − | 0.720032i | ||||
\(997\) | 25.2598 | − | 49.5752i | 0.0253358 | − | 0.0497244i | −0.877992 | − | 0.478676i | \(-0.841117\pi\) |
0.903328 | + | 0.428952i | \(0.141117\pi\) | |||||||
\(998\) | −123.104 | + | 29.2417i | −0.123351 | + | 0.0293003i | ||||
\(999\) | −348.443 | + | 1113.99i | −0.348791 | + | 1.11510i |
(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 | 300.3.u.a.287.108 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.9 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.112 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.5 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.5 | ✓ | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.112 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.9 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.108 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.5 | ✓ | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.9 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.108 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.112 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.287.5 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.9 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.108 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.112 | yes | 928 | 4.3 | odd | 2 | inner |