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 | 287.9 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.9 |
$q$-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 | ||||
\(3\) | 2.33835 | − | 1.87939i | 0.779451 | − | 0.626464i | ||||
\(4\) | 3.57272 | − | 1.79880i | 0.893180 | − | 0.449700i | ||||
\(5\) | −2.39489 | − | 4.38913i | −0.478978 | − | 0.877827i | ||||
\(6\) | −3.68142 | + | 4.73784i | −0.613570 | + | 0.789640i | ||||
\(7\) | 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 | ||||
\(9\) | 1.93578 | − | 8.78936i | 0.215086 | − | 0.976595i | ||||
\(10\) | 6.68883 | + | 7.43368i | 0.668883 | + | 0.743368i | ||||
\(11\) | −0.198144 | − | 0.143960i | −0.0180131 | − | 0.0130872i | 0.578742 | − | 0.815510i | \(-0.303544\pi\) |
−0.596755 | + | 0.802423i | \(0.703544\pi\) | |||||||
\(12\) | 4.97362 | − | 10.9208i | 0.414469 | − | 0.910064i | ||||
\(13\) | 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 | ||||
\(15\) | −13.8490 | − | 5.76240i | −0.923267 | − | 0.384160i | ||||
\(16\) | 9.52864 | − | 12.8532i | 0.595540 | − | 0.803326i | ||||
\(17\) | −3.53347 | − | 6.93482i | −0.207851 | − | 0.407931i | 0.763421 | − | 0.645901i | \(-0.223518\pi\) |
−0.971272 | + | 0.237970i | \(0.923518\pi\) | |||||||
\(18\) | 0.295806 | + | 17.9976i | 0.0164337 | + | 0.999865i | ||||
\(19\) | −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 | ||||
\(21\) | 2.19791 | − | 20.1983i | 0.104662 | − | 0.961824i | ||||
\(22\) | 0.452099 | + | 0.188541i | 0.0205500 | + | 0.00857002i | ||||
\(23\) | −4.23444 | + | 0.670670i | −0.184106 | + | 0.0291596i | −0.247807 | − | 0.968809i | \(-0.579710\pi\) |
0.0637004 | + | 0.997969i | \(0.479710\pi\) | |||||||
\(24\) | −4.63024 | + | 23.5491i | −0.192927 | + | 0.981213i | ||||
\(25\) | −13.5290 | + | 21.0230i | −0.541159 | + | 0.840920i | ||||
\(26\) | 0.381655 | + | 5.00317i | 0.0146790 | + | 0.192430i | ||||
\(27\) | −11.9921 | − | 24.1907i | −0.444152 | − | 0.895951i | ||||
\(28\) | 8.49510 | − | 25.7236i | 0.303396 | − | 0.918701i | ||||
\(29\) | 8.46069 | + | 26.0393i | 0.291748 | + | 0.897908i | 0.984294 | + | 0.176535i | \(0.0564888\pi\) |
−0.692546 | + | 0.721373i | \(0.743511\pi\) | |||||||
\(30\) | 29.6116 | + | 4.81162i | 0.987054 | + | 0.160387i | ||||
\(31\) | −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 | ||||
\(33\) | −0.733886 | + | 0.0357608i | −0.0222390 | + | 0.00108366i | ||||
\(34\) | 10.0810 | + | 11.8610i | 0.296500 | + | 0.348852i | ||||
\(35\) | −32.4880 | − | 9.55020i | −0.928227 | − | 0.272863i | ||||
\(36\) | −8.89431 | − | 34.8840i | −0.247064 | − | 0.968999i | ||||
\(37\) | 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 | ||||
\(39\) | −3.73933 | − | 6.53196i | −0.0958803 | − | 0.167486i | ||||
\(40\) | 37.2690 | + | 14.5266i | 0.931725 | + | 0.363164i | ||||
\(41\) | −3.16860 | − | 4.36120i | −0.0772829 | − | 0.106371i | 0.768625 | − | 0.639699i | \(-0.220941\pi\) |
−0.845908 | + | 0.533328i | \(0.820941\pi\) | |||||||
\(42\) | 5.05910 | + | 40.3189i | 0.120455 | + | 0.959974i | ||||
\(43\) | −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 | ||||
\(45\) | −43.2136 | + | 12.5532i | −0.960303 | + | 0.278959i | ||||
\(46\) | 7.92963 | − | 3.26224i | 0.172383 | − | 0.0709183i | ||||
\(47\) | 31.7568 | − | 62.3262i | 0.675677 | − | 1.32609i | −0.257362 | − | 0.966315i | \(-0.582853\pi\) |
0.933039 | − | 0.359775i | \(-0.117147\pi\) | |||||||
\(48\) | −1.87492 | − | 47.9634i | −0.0390607 | − | 0.999237i | ||||
\(49\) | 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 | \(-0.617216\pi\) |
0.966371 | − | 0.257151i | \(-0.0827837\pi\) | |||||||
\(54\) | 34.5162 | + | 41.5287i | 0.639188 | + | 0.769050i | ||||
\(55\) | −0.157326 | + | 1.21445i | −0.00286047 | + | 0.0220808i | ||||
\(56\) | −4.64046 | + | 53.9810i | −0.0828654 | + | 0.963947i | ||||
\(57\) | 8.93597 | + | 23.5368i | 0.156771 | + | 0.412927i | ||||
\(58\) | −28.4990 | − | 46.7582i | −0.491362 | − | 0.806176i | ||||
\(59\) | −53.1168 | − | 73.1091i | −0.900285 | − | 1.23914i | −0.970377 | − | 0.241596i | \(-0.922329\pi\) |
0.0700914 | − | 0.997541i | \(-0.477671\pi\) | |||||||
\(60\) | −59.8440 | + | 4.32416i | −0.997400 | + | 0.0720693i | ||||
\(61\) | −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 | ||||
\(63\) | −32.8210 | − | 51.3615i | −0.520969 | − | 0.815262i | ||||
\(64\) | 10.9228 | − | 63.0610i | 0.170668 | − | 0.985329i | ||||
\(65\) | −11.8161 | + | 4.21185i | −0.181785 | + | 0.0647978i | ||||
\(66\) | 1.41151 | − | 0.408797i | 0.0213865 | − | 0.00619389i | ||||
\(67\) | 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 | ||||
\(69\) | −8.64117 | + | 9.52644i | −0.125234 | + | 0.138064i | ||||
\(70\) | 67.6311 | + | 3.56697i | 0.966159 | + | 0.0509568i | ||||
\(71\) | 6.51351 | + | 20.0465i | 0.0917396 | + | 0.282345i | 0.986390 | − | 0.164421i | \(-0.0525755\pi\) |
−0.894651 | + | 0.446766i | \(0.852576\pi\) | |||||||
\(72\) | 33.4309 | + | 63.7682i | 0.464318 | + | 0.885669i | ||||
\(73\) | 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 | ||||
\(75\) | 7.87493 | + | 74.5854i | 0.104999 | + | 0.994472i | ||||
\(76\) | 5.09169 | + | 33.1797i | 0.0669960 | + | 0.436575i | ||||
\(77\) | −1.63830 | + | 0.259480i | −0.0212766 | + | 0.00336988i | ||||
\(78\) | 10.2954 | + | 10.9819i | 0.131992 | + | 0.140794i | ||||
\(79\) | 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 | ||||
\(81\) | −73.5055 | − | 34.0285i | −0.907476 | − | 0.420105i | ||||
\(82\) | 8.18145 | + | 7.02171i | 0.0997737 | + | 0.0856306i | ||||
\(83\) | −34.9442 | − | 68.5818i | −0.421014 | − | 0.826287i | −0.999941 | − | 0.0109071i | \(-0.996528\pi\) |
0.578926 | − | 0.815380i | \(-0.303472\pi\) | |||||||
\(84\) | −28.4802 | − | 76.1165i | −0.339050 | − | 0.906149i | ||||
\(85\) | −21.9756 | + | 32.1170i | −0.258536 | + | 0.377847i | ||||
\(86\) | 130.786 | + | 80.5791i | 1.52077 | + | 0.936966i | ||||
\(87\) | 68.7222 | + | 44.9882i | 0.789910 | + | 0.517106i | ||||
\(88\) | 1.95437 | − | 0.139634i | 0.0222087 | − | 0.00158675i | ||||
\(89\) | 43.8599 | + | 31.8661i | 0.492807 | + | 0.358046i | 0.806263 | − | 0.591557i | \(-0.201487\pi\) |
−0.313455 | + | 0.949603i | \(0.601487\pi\) | |||||||
\(90\) | 78.2853 | − | 44.4006i | 0.869837 | − | 0.493340i | ||||
\(91\) | −9.98721 | − | 13.7462i | −0.109750 | − | 0.151057i | ||||
\(92\) | −13.9221 | + | 10.0130i | −0.151327 | + | 0.108837i | ||||
\(93\) | −88.6157 | + | 33.6437i | −0.952857 | + | 0.361760i | ||||
\(94\) | −32.9862 | + | 135.956i | −0.350917 | + | 1.44634i | ||||
\(95\) | 41.2416 | − | 7.73209i | 0.434122 | − | 0.0813904i | ||||
\(96\) | 25.8176 | + | 92.4632i | 0.268933 | + | 0.963159i | ||||
\(97\) | 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 | \(0.209132\pi\) | ||||
−0.791824 | + | 0.610749i | \(0.790868\pi\) | |||||||
\(102\) | 45.8643 | + | 8.78897i | 0.449650 | + | 0.0861663i | ||||
\(103\) | −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 | ||||
\(105\) | −93.9168 | + | 38.7258i | −0.894446 | + | 0.368818i | ||||
\(106\) | −33.3830 | + | 137.592i | −0.314934 | + | 1.29803i | ||||
\(107\) | 99.9915 | + | 99.9915i | 0.934500 | + | 0.934500i | 0.997983 | − | 0.0634831i | \(-0.0202209\pi\) |
−0.0634831 | + | 0.997983i | \(0.520221\pi\) | |||||||
\(108\) | −86.3586 | − | 64.8551i | −0.799617 | − | 0.600510i | ||||
\(109\) | 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 | ||||
\(111\) | 112.552 | − | 64.4323i | 1.01398 | − | 0.580471i | ||||
\(112\) | −15.9210 | − | 107.184i | −0.142152 | − | 0.957002i | ||||
\(113\) | 115.915 | + | 18.3592i | 1.02580 | + | 0.162471i | 0.646588 | − | 0.762839i | \(-0.276195\pi\) |
0.379211 | + | 0.925310i | \(0.376195\pi\) | |||||||
\(114\) | −28.2672 | − | 41.6690i | −0.247957 | − | 0.365518i | ||||
\(115\) | 13.0847 | + | 16.9794i | 0.113780 | + | 0.147647i | ||||
\(116\) | 77.0673 | + | 77.8121i | 0.664373 | + | 0.670794i | ||||
\(117\) | −21.0200 | − | 8.24636i | −0.179658 | − | 0.0704817i | ||||
\(118\) | 137.150 | + | 117.708i | 1.16229 | + | 0.997530i | ||||
\(119\) | −50.1315 | − | 16.2887i | −0.421273 | − | 0.136880i | ||||
\(120\) | 114.449 | − | 36.0749i | 0.953743 | − | 0.300624i | ||||
\(121\) | −37.3725 | − | 115.021i | −0.308864 | − | 0.950585i | ||||
\(122\) | 4.68152 | + | 1.95235i | 0.0383731 | + | 0.0160029i | ||||
\(123\) | −15.6057 | − | 4.24299i | −0.126876 | − | 0.0344959i | ||||
\(124\) | −124.921 | + | 19.1701i | −1.00743 | + | 0.154598i | ||||
\(125\) | 124.673 | + | 9.03266i | 0.997386 | + | 0.0722613i | ||||
\(126\) | 87.6050 | + | 84.7718i | 0.695278 | + | 0.672792i | ||||
\(127\) | 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 | ||||
\(129\) | −229.072 | − | 24.9269i | −1.77575 | − | 0.193232i | ||||
\(130\) | 21.0456 | − | 13.6572i | 0.161889 | − | 0.105055i | ||||
\(131\) | −57.1774 | + | 175.974i | −0.436469 | + | 1.34331i | 0.455105 | + | 0.890438i | \(0.349602\pi\) |
−0.891574 | + | 0.452875i | \(0.850398\pi\) | |||||||
\(132\) | −2.55764 | + | 1.44788i | −0.0193761 | + | 0.0109688i | ||||
\(133\) | 25.8026 | + | 50.6405i | 0.194004 | + | 0.380755i | ||||
\(134\) | −113.268 | − | 133.267i | −0.845280 | − | 0.994529i | ||||
\(135\) | −77.4563 | + | 110.569i | −0.573751 | + | 0.819030i | ||||
\(136\) | 57.3520 | + | 24.2422i | 0.421706 | + | 0.178251i | ||||
\(137\) | 23.4006 | − | 147.745i | 0.170807 | − | 1.07843i | −0.742107 | − | 0.670281i | \(-0.766174\pi\) |
0.912914 | − | 0.408152i | \(-0.133826\pi\) | |||||||
\(138\) | 12.4112 | − | 22.5312i | 0.0899365 | − | 0.163269i | ||||
\(139\) | −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 | ||||
\(141\) | −42.8768 | − | 205.424i | −0.304091 | − | 1.45691i | ||||
\(142\) | −21.9401 | − | 35.9971i | −0.154508 | − | 0.253500i | ||||
\(143\) | −0.434493 | + | 0.434493i | −0.00303841 | + | 0.00303841i | ||||
\(144\) | −94.5261 | − | 108.632i | −0.656432 | − | 0.754386i | ||||
\(145\) | 94.0277 | − | 99.4965i | 0.648467 | − | 0.686183i | ||||
\(146\) | −176.898 | + | 72.7756i | −1.21163 | + | 0.498463i | ||||
\(147\) | 5.88823 | + | 7.32618i | 0.0400560 | + | 0.0498380i | ||||
\(148\) | 164.712 | − | 52.6436i | 1.11292 | − | 0.355700i | ||||
\(149\) | 226.377 | 1.51931 | 0.759653 | − | 0.650328i | \(-0.225369\pi\) | ||||
0.759653 | + | 0.650328i | \(0.225369\pi\) | |||||||
\(150\) | −49.7978 | − | 141.493i | −0.331986 | − | 0.943284i | ||||
\(151\) | − | 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 | ||||
\(153\) | −67.7926 | + | 17.6326i | −0.443089 | + | 0.115246i | ||||
\(154\) | 3.06795 | − | 1.26215i | 0.0199218 | − | 0.00819580i | ||||
\(155\) | 29.1111 | + | 155.274i | 0.187814 | + | 1.00177i | ||||
\(156\) | −25.1093 | − | 16.6106i | −0.160957 | − | 0.106478i | ||||
\(157\) | −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 | ||||
\(159\) | −43.3925 | − | 207.895i | −0.272909 | − | 1.30752i | ||||
\(160\) | 159.282 | − | 15.1402i | 0.995513 | − | 0.0946263i | ||||
\(161\) | −17.0665 | + | 23.4901i | −0.106003 | + | 0.145901i | ||||
\(162\) | 158.760 | + | 32.2393i | 0.979998 | + | 0.199008i | ||||
\(163\) | −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 | ||||
\(165\) | 1.91454 | + | 3.13548i | 0.0116033 | + | 0.0190029i | ||||
\(166\) | 99.6958 | + | 117.299i | 0.600577 | + | 0.706619i | ||||
\(167\) | 154.997 | − | 78.9748i | 0.928124 | − | 0.472903i | 0.0765079 | − | 0.997069i | \(-0.475623\pi\) |
0.851616 | + | 0.524166i | \(0.175623\pi\) | |||||||
\(168\) | 90.6004 | + | 134.948i | 0.539288 | + | 0.803261i | ||||
\(169\) | 154.742 | + | 50.2788i | 0.915635 | + | 0.297508i | ||||
\(170\) | 27.9164 | − | 72.6525i | 0.164214 | − | 0.427368i | ||||
\(171\) | 65.1304 | + | 38.2432i | 0.380879 | + | 0.223645i | ||||
\(172\) | −291.736 | − | 96.3443i | −1.69614 | − | 0.560141i | ||||
\(173\) | 17.4375 | + | 110.096i | 0.100795 | + | 0.636392i | 0.985427 | + | 0.170102i | \(0.0544096\pi\) |
−0.884632 | + | 0.466290i | \(0.845590\pi\) | |||||||
\(174\) | −154.518 | − | 55.7763i | −0.888033 | − | 0.320553i | ||||
\(175\) | 35.8881 | + | 165.466i | 0.205075 | + | 0.945518i | ||||
\(176\) | −3.73838 | + | 1.17504i | −0.0212408 | + | 0.00667637i | ||||
\(177\) | −261.606 | − | 71.1274i | −1.47800 | − | 0.401850i | ||||
\(178\) | −100.074 | − | 41.7342i | −0.562213 | − | 0.234462i | ||||
\(179\) | −94.1620 | + | 30.5951i | −0.526045 | + | 0.170922i | −0.559987 | − | 0.828501i | \(-0.689194\pi\) |
0.0339420 | + | 0.999424i | \(0.489194\pi\) | |||||||
\(180\) | −131.809 | + | 122.582i | −0.732275 | + | 0.681009i | ||||
\(181\) | −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 | ||||
\(183\) | −7.59944 | + | 0.370305i | −0.0415270 | + | 0.00202353i | ||||
\(184\) | 22.4622 | − | 25.9189i | 0.122077 | − | 0.140864i | ||||
\(185\) | −72.5743 | − | 203.602i | −0.392293 | − | 1.10055i | ||||
\(186\) | 156.883 | − | 106.425i | 0.843457 | − | 0.572178i | ||||
\(187\) | −0.298201 | + | 1.88277i | −0.00159466 | + | 0.0100683i | ||||
\(188\) | 1.34567 | − | 279.798i | 0.00715782 | − | 1.48829i | ||||
\(189\) | −173.275 | − | 58.4177i | −0.916801 | − | 0.309088i | ||||
\(190\) | −76.6763 | + | 34.1079i | −0.403560 | + | 0.179515i | ||||
\(191\) | 42.2742 | − | 30.7140i | 0.221331 | − | 0.160806i | −0.471595 | − | 0.881815i | \(-0.656321\pi\) |
0.692926 | + | 0.721009i | \(0.256321\pi\) | |||||||
\(192\) | −92.9751 | − | 167.987i | −0.484245 | − | 0.874932i | ||||
\(193\) | 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 | ||||
\(195\) | −19.7144 | + | 32.0558i | −0.101099 | + | 0.164389i | ||||
\(196\) | 5.63574 | + | 11.1935i | 0.0287538 | + | 0.0571098i | ||||
\(197\) | 254.343 | + | 129.594i | 1.29108 | + | 0.657839i | 0.958461 | − | 0.285222i | \(-0.0920674\pi\) |
0.332620 | + | 0.943061i | \(0.392067\pi\) | |||||||
\(198\) | 2.53231 | − | 3.60869i | 0.0127895 | − | 0.0182257i | ||||
\(199\) | 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 | ||||
\(204\) | −93.3076 | + | 4.09698i | −0.457390 | + | 0.0200832i | ||||
\(205\) | −11.5534 | + | 24.3520i | −0.0563583 | + | 0.118790i | ||||
\(206\) | 14.1216 | − | 58.2036i | 0.0685512 | − | 0.282542i | ||||
\(207\) | −2.30219 | + | 38.5163i | −0.0111217 | + | 0.186069i | ||||
\(208\) | −28.1101 | − | 28.6562i | −0.135145 | − | 0.137770i | ||||
\(209\) | 1.66283 | − | 1.20811i | 0.00795610 | − | 0.00578045i | ||||
\(210\) | 164.849 | − | 118.765i | 0.784996 | − | 0.565545i | ||||
\(211\) | 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 | ||||
\(213\) | 52.9062 | + | 34.6344i | 0.248386 | + | 0.162603i | ||||
\(214\) | −240.786 | − | 148.352i | −1.12517 | − | 0.693233i | ||||
\(215\) | −108.310 | + | 368.451i | −0.503769 | + | 1.71373i | ||||
\(216\) | 198.018 | + | 86.2827i | 0.916752 | + | 0.399457i | ||||
\(217\) | −190.660 | + | 97.1462i | −0.878618 | + | 0.447678i | ||||
\(218\) | −87.0896 | − | 74.7445i | −0.399494 | − | 0.342865i | ||||
\(219\) | 192.771 | − | 212.520i | 0.880233 | − | 0.970411i | ||||
\(220\) | 1.62247 | + | 4.62187i | 0.00737484 | + | 0.0210085i | ||||
\(221\) | −18.5710 | + | 6.03409i | −0.0840318 | + | 0.0273036i | ||||
\(222\) | −189.229 | + | 177.399i | −0.852382 | + | 0.799095i | ||||
\(223\) | −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 | ||||
\(225\) | 158.590 | + | 159.607i | 0.704842 | + | 0.709364i | ||||
\(226\) | −234.040 | + | 17.8532i | −1.03558 | + | 0.0789965i | ||||
\(227\) | −1.84517 | − | 11.6499i | −0.00812850 | − | 0.0513213i | 0.983291 | − | 0.182042i | \(-0.0582708\pi\) |
−0.991419 | + | 0.130721i | \(0.958271\pi\) | |||||||
\(228\) | 74.2638 | + | 68.0165i | 0.325718 | + | 0.298318i | ||||
\(229\) | 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 | ||||
\(231\) | −3.34325 | + | 3.68575i | −0.0144729 | + | 0.0159556i | ||||
\(232\) | −185.928 | − | 115.790i | −0.801412 | − | 0.499094i | ||||
\(233\) | −188.428 | + | 96.0088i | −0.808703 | + | 0.412055i | −0.808901 | − | 0.587945i | \(-0.799937\pi\) |
0.000197739 | 1.00000i | \(0.499937\pi\) | ||||||||
\(234\) | 44.7135 | + | 6.33053i | 0.191083 | + | 0.0270536i | ||||
\(235\) | −349.612 | + | 9.87979i | −1.48771 | + | 0.0420417i | ||||
\(236\) | −321.280 | − | 165.652i | −1.36136 | − | 0.701913i | ||||
\(237\) | 321.667 | + | 210.575i | 1.35724 | + | 0.888504i | ||||
\(238\) | 105.078 | + | 8.52407i | 0.441502 | + | 0.0358154i | ||||
\(239\) | 69.7910 | − | 96.0591i | 0.292013 | − | 0.401921i | −0.637654 | − | 0.770323i | \(-0.720095\pi\) |
0.929667 | + | 0.368402i | \(0.120095\pi\) | |||||||
\(240\) | −206.027 | + | 123.096i | −0.858447 | + | 0.512902i | ||||
\(241\) | −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 | ||||
\(243\) | −235.835 | + | 58.5751i | −0.970513 | + | 0.241050i | ||||
\(244\) | −10.0120 | − | 1.63514i | −0.0410326 | − | 0.00670138i | ||||
\(245\) | 13.7514 | − | 7.50333i | 0.0561281 | − | 0.0306258i | ||||
\(246\) | 32.3276 | + | 1.04309i | 0.131413 | + | 0.00424021i | ||||
\(247\) | 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 | \(-0.596156\pi\) | ||||
−0.297510 | + | 0.954719i | \(0.596156\pi\) | |||||||
\(252\) | −209.649 | − | 124.462i | −0.831942 | − | 0.493895i | ||||
\(253\) | 0.935578 | + | 0.476701i | 0.00369793 | + | 0.00188419i | ||||
\(254\) | −268.843 | + | 110.602i | −1.05844 | + | 0.435439i | ||||
\(255\) | 8.97379 | + | 116.402i | 0.0351913 | + | 0.456477i | ||||
\(256\) | −74.4102 | − | 244.947i | −0.290665 | − | 0.956825i | ||||
\(257\) | 103.124 | − | 103.124i | 0.401261 | − | 0.401261i | −0.477416 | − | 0.878677i | \(-0.658427\pi\) |
0.878677 | + | 0.477416i | \(0.158427\pi\) | |||||||
\(258\) | 457.263 | − | 57.3760i | 1.77234 | − | 0.222388i | ||||
\(259\) | 236.860 | − | 172.089i | 0.914519 | − | 0.664437i | ||||
\(260\) | −34.6391 | + | 36.3025i | −0.133227 | + | 0.139625i | ||||
\(261\) | 245.247 | − | 23.9577i | 0.939644 | − | 0.0917918i | ||||
\(262\) | 29.9216 | − | 368.848i | 0.114205 | − | 1.40782i | ||||
\(263\) | −25.6063 | + | 161.672i | −0.0973624 | + | 0.614722i | 0.889965 | + | 0.456028i | \(0.150728\pi\) |
−0.987328 | + | 0.158694i | \(0.949272\pi\) | |||||||
\(264\) | 4.30758 | − | 3.99954i | 0.0163166 | − | 0.0151498i | ||||
\(265\) | −353.817 | + | 9.99862i | −1.33516 | + | 0.0377307i | ||||
\(266\) | −73.6148 | − | 86.6128i | −0.276747 | − | 0.325612i | ||||
\(267\) | 162.449 | − | 7.91579i | 0.608422 | − | 0.0296472i | ||||
\(268\) | 282.000 | + | 206.964i | 1.05224 | + | 0.772256i | ||||
\(269\) | −88.8969 | + | 273.597i | −0.330472 | + | 1.01709i | 0.638438 | + | 0.769673i | \(0.279581\pi\) |
−0.968910 | + | 0.247415i | \(0.920419\pi\) | |||||||
\(270\) | 99.6125 | − | 250.953i | 0.368935 | − | 0.929455i | ||||
\(271\) | 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 | ||||
\(273\) | −49.1881 | − | 13.3736i | −0.180176 | − | 0.0489876i | ||||
\(274\) | 22.7556 | + | 298.307i | 0.0830498 | + | 1.08871i | ||||
\(275\) | 5.70715 | − | 2.21794i | 0.0207533 | − | 0.00806525i | ||||
\(276\) | −13.7363 | + | 49.5790i | −0.0497692 | + | 0.179634i | ||||
\(277\) | 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 | ||||
\(279\) | −143.985 | + | 245.214i | −0.516075 | + | 0.878905i | ||||
\(280\) | 248.043 | − | 108.911i | 0.885869 | − | 0.388968i | ||||
\(281\) | 228.527 | + | 74.2530i | 0.813264 | + | 0.264246i | 0.685980 | − | 0.727621i | \(-0.259374\pi\) |
0.127285 | + | 0.991866i | \(0.459374\pi\) | |||||||
\(282\) | 178.382 | + | 379.908i | 0.632560 | + | 1.34719i | ||||
\(283\) | −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 | ||||
\(285\) | 81.9057 | − | 95.5894i | 0.287388 | − | 0.335401i | ||||
\(286\) | 0.644633 | − | 1.04629i | 0.00225396 | − | 0.00365835i | ||||
\(287\) | −36.0594 | − | 5.71125i | −0.125643 | − | 0.0198998i | ||||
\(288\) | 234.145 | + | 167.690i | 0.813004 | + | 0.582258i | ||||
\(289\) | 134.264 | − | 184.798i | 0.464580 | − | 0.639439i | ||||
\(290\) | −136.976 | + | 237.067i | −0.472330 | + | 0.817472i | ||||
\(291\) | −9.97903 | − | 47.8098i | −0.0342922 | − | 0.164295i | ||||
\(292\) | 310.580 | − | 223.375i | 1.06363 | − | 0.764984i | ||||
\(293\) | −309.917 | − | 309.917i | −1.05774 | − | 1.05774i | −0.998228 | − | 0.0595111i | \(-0.981046\pi\) |
−0.0595111 | − | 0.998228i | \(-0.518954\pi\) | |||||||
\(294\) | −14.8439 | − | 11.5341i | −0.0504895 | − | 0.0392316i | ||||
\(295\) | −193.676 | + | 408.225i | −0.656530 | + | 1.38381i | ||||
\(296\) | −296.173 | + | 178.569i | −1.00058 | + | 0.603273i | ||||
\(297\) | −1.10633 | + | 6.51961i | −0.00372500 | + | 0.0219515i | ||||
\(298\) | −440.497 | + | 104.634i | −1.47818 | + | 0.351122i | ||||
\(299\) | 10.7560i | 0.0359733i | ||||||||
\(300\) | 162.299 | + | 252.307i | 0.540997 | + | 0.841024i | ||||
\(301\) | −520.185 | −1.72819 | ||||||||
\(302\) | 50.4468 | + | 212.375i | 0.167042 | + | 0.703227i | ||||
\(303\) | 231.863 | + | 288.486i | 0.765224 | + | 0.952098i | ||||
\(304\) | 77.8748 | + | 109.383i | 0.256167 | + | 0.359812i | ||||
\(305\) | −1.62912 | + | 12.5757i | −0.00534138 | + | 0.0412317i | ||||
\(306\) | 123.765 | − | 65.6452i | 0.404460 | − | 0.214527i | ||||
\(307\) | −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 | ||||
\(309\) | 18.3558 | + | 87.9431i | 0.0594038 | + | 0.284605i | ||||
\(310\) | −128.416 | − | 288.685i | −0.414244 | − | 0.931241i | ||||
\(311\) | −132.019 | − | 95.9173i | −0.424498 | − | 0.308416i | 0.354947 | − | 0.934886i | \(-0.384499\pi\) |
−0.779445 | + | 0.626471i | \(0.784499\pi\) | |||||||
\(312\) | 56.5367 | + | 20.7159i | 0.181207 | + | 0.0663972i | ||||
\(313\) | 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 | ||||
\(315\) | −146.830 | + | 267.061i | −0.466126 | + | 0.847813i | ||||
\(316\) | 360.727 | + | 364.214i | 1.14154 | + | 1.15258i | ||||
\(317\) | 91.9742 | + | 180.510i | 0.290140 | + | 0.569431i | 0.989362 | − | 0.145473i | \(-0.0464704\pi\) |
−0.699223 | + | 0.714904i | \(0.746470\pi\) | |||||||
\(318\) | 180.527 | + | 384.477i | 0.567696 | + | 1.20905i | ||||
\(319\) | 2.07218 | − | 6.37753i | 0.00649588 | − | 0.0199922i | ||||
\(320\) | −302.942 | + | 103.083i | −0.946694 | + | 0.322134i | ||||
\(321\) | 421.738 | + | 45.8921i | 1.31383 | + | 0.142966i | ||||
\(322\) | 22.3516 | − | 53.5967i | 0.0694149 | − | 0.166449i | ||||
\(323\) | 64.5121 | − | 10.2177i | 0.199728 | − | 0.0316338i | ||||
\(324\) | −323.825 | + | 10.6476i | −0.999460 | + | 0.0328629i | ||||
\(325\) | 46.7846 | + | 41.7753i | 0.143952 | + | 0.128539i | ||||
\(326\) | 600.683 | − | 45.8217i | 1.84259 | − | 0.140557i | ||||
\(327\) | 166.119 | + | 45.1656i | 0.508010 | + | 0.138121i | ||||
\(328\) | 41.8607 | + | 10.3698i | 0.127624 | + | 0.0316153i | ||||
\(329\) | −146.394 | − | 450.553i | −0.444966 | − | 1.36946i | ||||
\(330\) | −5.17467 | − | 5.21627i | −0.0156808 | − | 0.0158069i | ||||
\(331\) | −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 | ||||
\(333\) | 142.093 | − | 362.195i | 0.426705 | − | 1.08767i | ||||
\(334\) | −265.098 | + | 225.315i | −0.793707 | + | 0.674596i | ||||
\(335\) | 246.912 | − | 360.859i | 0.737052 | − | 1.07719i | ||||
\(336\) | −238.670 | − | 220.713i | −0.710328 | − | 0.656883i | ||||
\(337\) | −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 | ||||
\(339\) | 305.555 | − | 174.920i | 0.901342 | − | 0.515988i | ||||
\(340\) | −20.7405 | + | 154.275i | −0.0610013 | + | 0.453749i | ||||
\(341\) | 4.54852 | + | 6.26050i | 0.0133388 | + | 0.0183592i | ||||
\(342\) | −144.411 | − | 44.3118i | −0.422254 | − | 0.129567i | ||||
\(343\) | 249.659 | + | 249.659i | 0.727870 | + | 0.727870i | ||||
\(344\) | 612.208 | + | 52.6283i | 1.77967 | + | 0.152989i | ||||
\(345\) | 62.5075 | + | 15.1124i | 0.181181 | + | 0.0438042i | ||||
\(346\) | −84.8185 | − | 206.171i | −0.245140 | − | 0.595869i | ||||
\(347\) | 42.6220 | − | 83.6505i | 0.122830 | − | 0.241068i | −0.821401 | − | 0.570351i | \(-0.806807\pi\) |
0.944231 | + | 0.329283i | \(0.106807\pi\) | |||||||
\(348\) | 326.450 | + | 37.1126i | 0.938074 | + | 0.106645i | ||||
\(349\) | − | 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 | −0.996382 | − | 0.0849911i | \(-0.972914\pi\) |
0.654418 | + | 0.756133i | \(0.272914\pi\) | |||||||
\(354\) | 541.925 | + | 17.4859i | 1.53086 | + | 0.0493951i | ||||
\(355\) | 72.3877 | − | 76.5980i | 0.203909 | − | 0.215769i | ||||
\(356\) | 214.020 | + | 34.9533i | 0.601179 | + | 0.0981835i | ||||
\(357\) | −147.838 | + | 56.1279i | −0.414112 | + | 0.157221i | ||||
\(358\) | 169.084 | − | 103.057i | 0.472303 | − | 0.287868i | ||||
\(359\) | −81.8220 | − | 112.618i | −0.227916 | − | 0.313700i | 0.679708 | − | 0.733483i | \(-0.262106\pi\) |
−0.907625 | + | 0.419782i | \(0.862106\pi\) | |||||||
\(360\) | 199.824 | − | 299.450i | 0.555066 | − | 0.831807i | ||||
\(361\) | 235.079 | + | 170.795i | 0.651189 | + | 0.473117i | ||||
\(362\) | 34.7316 | − | 428.142i | 0.0959436 | − | 1.18271i | ||||
\(363\) | −303.559 | − | 198.721i | −0.836251 | − | 0.547442i | ||||
\(364\) | −60.4082 | − | 31.1464i | −0.165957 | − | 0.0855669i | ||||
\(365\) | −291.899 | − | 378.783i | −0.799724 | − | 1.03776i | ||||
\(366\) | 14.6163 | − | 4.23312i | 0.0399351 | − | 0.0115659i | ||||
\(367\) | 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 | ||||
\(369\) | −44.4659 | + | 19.4076i | −0.120504 | + | 0.0525952i | ||||
\(370\) | 235.327 | + | 362.635i | 0.636018 | + | 0.980096i | ||||
\(371\) | −148.154 | − | 455.972i | −0.399338 | − | 1.22904i | ||||
\(372\) | −256.081 | + | 279.602i | −0.688389 | + | 0.751617i | ||||
\(373\) | −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 | ||||
\(375\) | 308.506 | − | 213.188i | 0.822682 | − | 0.568502i | ||||
\(376\) | 126.708 | + | 545.069i | 0.336989 | + | 1.44965i | ||||
\(377\) | 67.8452 | − | 10.7456i | 0.179961 | − | 0.0285030i | ||||
\(378\) | 364.171 | + | 33.5823i | 0.963414 | + | 0.0888420i | ||||
\(379\) | −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 | ||||
\(381\) | 292.966 | − | 322.980i | 0.768940 | − | 0.847717i | ||||
\(382\) | −68.0632 | + | 79.3048i | −0.178176 | + | 0.207604i | ||||
\(383\) | −228.521 | − | 448.498i | −0.596661 | − | 1.17101i | −0.969952 | − | 0.243298i | \(-0.921771\pi\) |
0.373291 | − | 0.927714i | \(-0.378229\pi\) | |||||||
\(384\) | 258.562 | + | 283.904i | 0.673338 | + | 0.739334i | ||||
\(385\) | 5.06244 | + | 6.56927i | 0.0131492 | + | 0.0170630i | ||||
\(386\) | −108.732 | + | 176.481i | −0.281689 | + | 0.457204i | ||||
\(387\) | −582.499 | + | 372.229i | −1.50517 | + | 0.961831i | ||||
\(388\) | 0.313188 | − | 65.1195i | 0.000807184 | − | 0.167834i | ||||
\(389\) | 288.213 | + | 209.399i | 0.740907 | + | 0.538301i | 0.892995 | − | 0.450066i | \(-0.148600\pi\) |
−0.152088 | + | 0.988367i | \(0.548600\pi\) | |||||||
\(390\) | 23.5447 | − | 71.4882i | 0.0603711 | − | 0.183303i | ||||
\(391\) | 19.6132 | + | 26.9953i | 0.0501618 | + | 0.0690417i | ||||
\(392\) | −16.1401 | − | 19.1761i | −0.0411738 | − | 0.0489186i | ||||
\(393\) | 197.023 | + | 518.948i | 0.501331 | + | 1.32048i | ||||
\(394\) | −554.815 | − | 134.611i | −1.40816 | − | 0.341653i | ||||
\(395\) | 440.114 | − | 465.712i | 1.11421 | − | 1.17902i | ||||
\(396\) | −3.25954 | + | 8.19246i | −0.00823116 | + | 0.0206880i | ||||
\(397\) | −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 | \(-0.991177\pi\) | ||
0.999616 | − | 0.0277159i | \(-0.00882336\pi\) | |||||||
\(402\) | −515.320 | − | 98.7507i | −1.28189 | − | 0.245649i | ||||
\(403\) | −35.9875 | + | 70.6294i | −0.0892990 | + | 0.175259i | ||||
\(404\) | 221.920 | + | 440.771i | 0.549308 | + | 1.09102i | ||||
\(405\) | 26.6823 | + | 404.120i | 0.0658823 | + | 0.997827i | ||||
\(406\) | −360.399 | − | 87.4412i | −0.887681 | − | 0.215372i | ||||
\(407\) | −7.48673 | − | 7.48673i | −0.0183949 | − | 0.0183949i | ||||
\(408\) | 179.670 | − | 51.1001i | 0.440367 | − | 0.125245i | ||||
\(409\) | 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 | ||||
\(411\) | −222.952 | − | 389.459i | −0.542463 | − | 0.947589i | ||||
\(412\) | −0.576088 | + | 119.783i | −0.00139827 | + | 0.290735i | ||||
\(413\) | −604.482 | − | 95.7406i | −1.46364 | − | 0.231817i | ||||
\(414\) | −13.3230 | − | 76.0113i | −0.0321812 | − | 0.183602i | ||||
\(415\) | −217.327 | + | 317.621i | −0.523680 | + | 0.765351i | ||||
\(416\) | 67.9435 | + | 42.7679i | 0.163326 | + | 0.102807i | ||||
\(417\) | −309.238 | + | 15.0685i | −0.741578 | + | 0.0361356i | ||||
\(418\) | −2.67722 | + | 3.11940i | −0.00640482 | + | 0.00746267i | ||||
\(419\) | 52.6738 | + | 17.1148i | 0.125713 | + | 0.0408467i | 0.371198 | − | 0.928554i | \(-0.378947\pi\) |
−0.245485 | + | 0.969400i | \(0.578947\pi\) | |||||||
\(420\) | −265.878 | + | 307.294i | −0.633044 | + | 0.731653i | ||||
\(421\) | −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 | ||||
\(423\) | −486.333 | − | 399.772i | −1.14972 | − | 0.945086i | ||||
\(424\) | 128.232 | + | 551.625i | 0.302434 | + | 1.30100i | ||||
\(425\) | 193.595 | + | 19.5369i | 0.455517 | + | 0.0459693i | ||||
\(426\) | −118.956 | − | 42.9397i | −0.279240 | − | 0.100797i | ||||
\(427\) | −16.9647 | + | 2.68694i | −0.0397299 | + | 0.00629259i | ||||
\(428\) | 537.106 | + | 177.377i | 1.25492 | + | 0.414432i | ||||
\(429\) | −0.199415 | + | 1.83258i | −0.000464837 | + | 0.00427175i | ||||
\(430\) | 40.4536 | − | 767.016i | 0.0940782 | − | 1.78376i | ||||
\(431\) | −41.9462 | + | 129.097i | −0.0973229 | + | 0.299529i | −0.987852 | − | 0.155397i | \(-0.950334\pi\) |
0.890529 | + | 0.454926i | \(0.150334\pi\) | |||||||
\(432\) | −425.196 | − | 76.3671i | −0.984251 | − | 0.176776i | ||||
\(433\) | 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 | ||||
\(435\) | 32.8769 | − | 409.373i | 0.0755790 | − | 0.941087i | ||||
\(436\) | 204.012 | + | 105.188i | 0.467917 | + | 0.241257i | ||||
\(437\) | 5.62828 | − | 35.5356i | 0.0128794 | − | 0.0813171i | ||||
\(438\) | −276.875 | + | 502.635i | −0.632136 | + | 1.14757i | ||||
\(439\) | 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 | ||||
\(441\) | 27.5375 | + | 6.06490i | 0.0624434 | + | 0.0137526i | ||||
\(442\) | 33.3475 | − | 20.3253i | 0.0754469 | − | 0.0459847i | ||||
\(443\) | −526.760 | + | 526.760i | −1.18908 | + | 1.18908i | −0.211751 | + | 0.977324i | \(0.567917\pi\) |
−0.977324 | + | 0.211751i | \(0.932083\pi\) | |||||||
\(444\) | 286.216 | − | 432.657i | 0.644630 | − | 0.974453i | ||||
\(445\) | 34.8247 | − | 268.823i | 0.0782578 | − | 0.604096i | ||||
\(446\) | 100.397 | + | 244.038i | 0.225106 | + | 0.547171i | ||||
\(447\) | 529.348 | − | 425.450i | 1.18422 | − | 0.951791i | ||||
\(448\) | −249.684 | − | 354.300i | −0.557331 | − | 0.790849i | ||||
\(449\) | 530.582 | 1.18170 | 0.590848 | − | 0.806783i | \(-0.298793\pi\) | ||||
0.590848 | + | 0.806783i | \(0.298793\pi\) | |||||||
\(450\) | −382.365 | − | 237.270i | −0.849700 | − | 0.527267i | ||||
\(451\) | 1.32030i | 0.00292748i | ||||||||
\(452\) | 447.157 | − | 142.916i | 0.989286 | − | 0.316186i | ||||
\(453\) | −205.120 | − | 255.212i | −0.452804 | − | 0.563383i | ||||
\(454\) | 8.97518 | + | 21.8162i | 0.0197691 | + | 0.0480534i | ||||
\(455\) | −36.4157 | + | 76.7559i | −0.0800344 | + | 0.168694i | ||||
\(456\) | −175.945 | − | 98.0247i | −0.385844 | − | 0.214966i | ||||
\(457\) | −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 | ||||
\(459\) | −125.384 | + | 168.640i | −0.273168 | + | 0.367408i | ||||
\(460\) | 77.2904 | + | 37.1257i | 0.168023 | + | 0.0807081i | ||||
\(461\) | −51.2522 | + | 70.5426i | −0.111176 | + | 0.153021i | −0.860979 | − | 0.508640i | \(-0.830148\pi\) |
0.749803 | + | 0.661661i | \(0.230148\pi\) | |||||||
\(462\) | 4.80187 | − | 8.71724i | 0.0103937 | − | 0.0188685i | ||||
\(463\) | −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 | ||||
\(465\) | 359.892 | + | 308.373i | 0.773961 | + | 0.663168i | ||||
\(466\) | 322.277 | − | 273.913i | 0.691582 | − | 0.587796i | ||||
\(467\) | −479.187 | + | 244.158i | −1.02610 | + | 0.522823i | −0.884224 | − | 0.467062i | \(-0.845312\pi\) |
−0.141873 | + | 0.989885i | \(0.545312\pi\) | |||||||
\(468\) | −89.9321 | + | 8.34883i | −0.192163 | + | 0.0178394i | ||||
\(469\) | 563.265 | + | 183.016i | 1.20099 | + | 0.390226i | ||||
\(470\) | 675.729 | − | 180.820i | 1.43772 | − | 0.384723i | ||||
\(471\) | −503.056 | − | 54.7408i | −1.06806 | − | 0.116223i | ||||
\(472\) | 701.731 | + | 173.834i | 1.48672 | + | 0.368293i | ||||
\(473\) | 2.94281 | + | 18.5802i | 0.00622159 | + | 0.0392816i | ||||
\(474\) | −723.248 | − | 261.071i | −1.52584 | − | 0.550783i | ||||
\(475\) | −132.706 | − | 162.497i | −0.279382 | − | 0.342099i | ||||
\(476\) | −208.406 | + | 31.9816i | −0.437827 | + | 0.0671881i | ||||
\(477\) | −492.183 | − | 404.580i | −1.03183 | − | 0.848176i | ||||
\(478\) | −91.4036 | + | 219.175i | −0.191221 | + | 0.458526i | ||||
\(479\) | 398.889 | − | 129.607i | 0.832753 | − | 0.270578i | 0.138549 | − | 0.990356i | \(-0.455756\pi\) |
0.694205 | + | 0.719778i | \(0.255756\pi\) | |||||||
\(480\) | 344.003 | − | 334.756i | 0.716673 | − | 0.697409i | ||||
\(481\) | 33.5153 | − | 103.149i | 0.0696783 | − | 0.214448i | ||||
\(482\) | 212.967 | − | 248.141i | 0.441840 | − | 0.514816i | ||||
\(483\) | 4.23947 | + | 87.0027i | 0.00877736 | + | 0.180130i | ||||
\(484\) | −340.421 | − | 343.711i | −0.703349 | − | 0.710147i | ||||
\(485\) | −81.3678 | + | 2.29940i | −0.167769 | + | 0.00474102i | ||||
\(486\) | 431.826 | − | 222.985i | 0.888531 | − | 0.458816i | ||||
\(487\) | −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 | ||||
\(489\) | −784.231 | + | 448.946i | −1.60374 | + | 0.918090i | ||||
\(490\) | −23.2901 | + | 20.9565i | −0.0475308 | + | 0.0427683i | ||||
\(491\) | 274.309 | − | 199.297i | 0.558675 | − | 0.405901i | −0.272299 | − | 0.962213i | \(-0.587784\pi\) |
0.830974 | + | 0.556312i | \(0.187784\pi\) | |||||||
\(492\) | −63.3871 | + | 12.9125i | −0.128836 | + | 0.0262450i | ||||
\(493\) | 150.683 | − | 150.683i | 0.305644 | − | 0.305644i | ||||
\(494\) | −40.9215 | − | 9.92852i | −0.0828371 | − | 0.0200982i | ||||
\(495\) | 10.3697 | + | 3.73369i | 0.0209488 | + | 0.00754281i | ||||
\(496\) | −411.824 | + | 293.197i | −0.830290 | + | 0.591123i | ||||
\(497\) | 127.193 | + | 64.8081i | 0.255922 | + | 0.130399i | ||||
\(498\) | 453.574 | + | 86.9184i | 0.910791 | + | 0.174535i | ||||
\(499\) | −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 | 0.445965 | − | 0.895050i | \(-0.352861\pi\) |
−0.461979 | + | 0.886891i | \(0.652861\pi\) | |||||||
\(504\) | 465.475 | + | 145.282i | 0.923562 | + | 0.288258i | ||||
\(505\) | 541.493 | − | 295.461i | 1.07226 | − | 0.585071i | ||||
\(506\) | −2.04084 | − | 0.495155i | −0.00403327 | − | 0.000978567i | ||||
\(507\) | 456.335 | − | 173.252i | 0.900070 | − | 0.341719i | ||||
\(508\) | 472.008 | − | 339.477i | 0.929149 | − | 0.668262i | ||||
\(509\) | −385.479 | + | 280.067i | −0.757326 | + | 0.550230i | −0.898089 | − | 0.439814i | \(-0.855044\pi\) |
0.140763 | + | 0.990043i | \(0.455044\pi\) | |||||||
\(510\) | −71.2640 | − | 222.353i | −0.139733 | − | 0.435986i | ||||
\(511\) | 380.728 | − | 524.027i | 0.745064 | − | 1.02549i | ||||
\(512\) | 258.009 | + | 442.239i | 0.503925 | + | 0.863748i | ||||
\(513\) | 224.172 | − | 32.9793i | 0.436982 | − | 0.0642871i | ||||
\(514\) | −152.999 | + | 248.330i | −0.297664 | + | 0.483132i | ||||
\(515\) | 149.671 | − | 4.22959i | 0.290623 | − | 0.00821279i | ||||
\(516\) | −863.249 | + | 322.999i | −1.67296 | + | 0.625966i | ||||
\(517\) | −15.2649 | + | 7.77784i | −0.0295259 | + | 0.0150442i | ||||
\(518\) | −381.355 | + | 444.341i | −0.736206 | + | 0.857801i | ||||
\(519\) | 247.688 | + | 224.671i | 0.477241 | + | 0.432892i | ||||
\(520\) | 50.6233 | − | 86.6501i | 0.0973526 | − | 0.166635i | ||||
\(521\) | −879.135 | + | 285.648i | −1.68740 | + | 0.548269i | −0.986324 | − | 0.164817i | \(-0.947297\pi\) |
−0.701076 | + | 0.713087i | \(0.747297\pi\) | |||||||
\(522\) | −466.142 | + | 159.975i | −0.892993 | + | 0.306465i | ||||
\(523\) | −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 | ||||
\(525\) | 394.894 | + | 319.469i | 0.752178 | + | 0.608513i | ||||
\(526\) | −24.9006 | − | 326.426i | −0.0473395 | − | 0.620581i | ||||
\(527\) | 38.4694 | + | 242.886i | 0.0729970 | + | 0.460885i | ||||
\(528\) | −6.53329 | + | 9.77355i | −0.0123737 | + | 0.0185105i | ||||
\(529\) | −485.628 | + | 157.790i | −0.918012 | + | 0.298280i | ||||
\(530\) | 683.856 | − | 182.995i | 1.29029 | − | 0.345273i | ||||
\(531\) | −745.404 | + | 325.340i | −1.40377 | + | 0.612693i | ||||
\(532\) | 183.277 | + | 134.510i | 0.344507 | + | 0.252839i | ||||
\(533\) | −12.0505 | + | 6.14004i | −0.0226088 | + | 0.0115198i | ||||
\(534\) | −312.443 | + | 90.4888i | −0.585099 | + | 0.169455i | ||||
\(535\) | 199.407 | − | 678.345i | 0.372724 | − | 1.26793i | ||||
\(536\) | −644.393 | − | 272.379i | −1.20223 | − | 0.508170i | ||||
\(537\) | −162.684 | + | 248.509i | −0.302949 | + | 0.462774i | ||||
\(538\) | 46.5208 | − | 573.469i | 0.0864700 | − | 1.06593i | ||||
\(539\) | 0.451034 | − | 0.620795i | 0.000836797 | − | 0.00115175i | ||||
\(540\) | −77.8381 | + | 534.361i | −0.144145 | + | 0.989557i | ||||
\(541\) | 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 | ||||
\(543\) | 228.695 | + | 602.370i | 0.421169 | + | 1.10934i | ||||
\(544\) | 248.509 | − | 16.5544i | 0.456819 | − | 0.0304308i | ||||
\(545\) | 122.984 | − | 259.222i | 0.225658 | − | 0.475636i | ||||
\(546\) | 101.894 | + | 3.28775i | 0.186620 | + | 0.00602152i | ||||
\(547\) | −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 | ||||||||
\(552\) | 3.81282 | − | 102.823i | 0.00690727 | − | 0.186273i | ||||
\(553\) | 773.328 | + | 394.030i | 1.39842 | + | 0.712532i | ||||
\(554\) | −212.182 | − | 515.758i | −0.383000 | − | 0.930971i | ||||
\(555\) | −552.352 | − | 339.697i | −0.995229 | − | 0.612067i | ||||
\(556\) | −407.409 | − | 66.5373i | −0.732750 | − | 0.119671i | ||||
\(557\) | 201.327 | − | 201.327i | 0.361450 | − | 0.361450i | −0.502897 | − | 0.864346i | \(-0.667732\pi\) |
0.864346 | + | 0.502897i | \(0.167732\pi\) | |||||||
\(558\) | 166.833 | − | 543.704i | 0.298984 | − | 0.974380i | ||||
\(559\) | −155.898 | + | 113.267i | −0.278887 | + | 0.202624i | ||||
\(560\) | −432.317 | + | 326.574i | −0.771994 | + | 0.583168i | ||||
\(561\) | 2.84116 | + | 4.96301i | 0.00506445 | + | 0.00884671i | ||||
\(562\) | −479.002 | − | 38.8575i | −0.852317 | − | 0.0691415i | ||||
\(563\) | −117.638 | + | 742.734i | −0.208948 | + | 1.31924i | 0.630664 | + | 0.776056i | \(0.282783\pi\) |
−0.839611 | + | 0.543188i | \(0.817217\pi\) | |||||||
\(564\) | −522.704 | − | 656.796i | −0.926780 | − | 1.16453i | ||||
\(565\) | −197.024 | − | 552.736i | −0.348715 | − | 0.978294i | ||||
\(566\) | 153.698 | − | 130.633i | 0.271551 | − | 0.230800i | ||||
\(567\) | −514.969 | + | 189.051i | −0.908234 | + | 0.333424i | ||||
\(568\) | −143.137 | − | 89.1414i | −0.252002 | − | 0.156939i | ||||
\(569\) | −155.545 | + | 478.718i | −0.273365 | + | 0.841332i | 0.716282 | + | 0.697811i | \(0.245842\pi\) |
−0.989647 | + | 0.143521i | \(0.954158\pi\) | |||||||
\(570\) | −115.194 | + | 223.861i | −0.202095 | + | 0.392739i | ||||
\(571\) | −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 | ||||
\(573\) | 41.1284 | − | 151.270i | 0.0717772 | − | 0.263997i | ||||
\(574\) | 72.8063 | − | 5.55385i | 0.126840 | − | 0.00967569i | ||||
\(575\) | 43.1882 | − | 98.0942i | 0.0751099 | − | 0.170599i | ||||
\(576\) | −533.122 | − | 218.076i | −0.925559 | − | 0.378605i | ||||
\(577\) | 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 | ||||
\(579\) | 33.6359 | − | 309.106i | 0.0580931 | − | 0.533863i | ||||
\(580\) | 156.960 | − | 524.610i | 0.270621 | − | 0.904500i | ||||
\(581\) | −495.775 | − | 161.087i | −0.853313 | − | 0.277258i | ||||
\(582\) | 41.5161 | + | 88.4187i | 0.0713335 | + | 0.151922i | ||||
\(583\) | −15.4485 | + | 7.87139i | −0.0264982 | + | 0.0135015i | ||||
\(584\) | −501.097 | + | 578.210i | −0.858043 | + | 0.990086i | ||||
\(585\) | 14.1462 | + | 112.009i | 0.0241816 | + | 0.191468i | ||||
\(586\) | 746.303 | + | 459.807i | 1.27355 | + | 0.784654i | ||||
\(587\) | −703.748 | − | 111.463i | −1.19889 | − | 0.189885i | −0.475116 | − | 0.879923i | \(-0.657594\pi\) |
−0.723773 | + | 0.690038i | \(0.757594\pi\) | |||||||
\(588\) | 34.2153 | + | 15.5826i | 0.0581894 | + | 0.0265011i | ||||
\(589\) | 155.853 | − | 214.513i | 0.264606 | − | 0.364199i | ||||
\(590\) | 188.179 | − | 883.868i | 0.318948 | − | 1.49808i | ||||
\(591\) | 838.302 | − | 174.973i | 1.41845 | − | 0.296063i | ||||
\(592\) | 493.773 | − | 484.364i | 0.834076 | − | 0.818183i | ||||
\(593\) | −4.59615 | − | 4.59615i | −0.00775067 | − | 0.00775067i | 0.703221 | − | 0.710971i | \(-0.251745\pi\) |
−0.710971 | + | 0.703221i | \(0.751745\pi\) | |||||||
\(594\) | −0.860695 | − | 13.1976i | −0.00144898 | − | 0.0222182i | ||||
\(595\) | 48.5662 | + | 259.043i | 0.0816239 | + | 0.435367i | ||||
\(596\) | 808.780 | − | 407.206i | 1.35701 | − | 0.683232i | ||||
\(597\) | 928.652 | − | 746.380i | 1.55553 | − | 1.25022i | ||||
\(598\) | −4.97158 | − | 20.9297i | −0.00831367 | − | 0.0349995i | ||||
\(599\) | 337.539i | 0.563504i | 0.959487 | + | 0.281752i | \(0.0909155\pi\) | ||||
−0.959487 | + | 0.281752i | \(0.909084\pi\) | |||||||
\(600\) | −432.431 | − | 415.937i | −0.720718 | − | 0.693229i | ||||
\(601\) | −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 | ||||
\(603\) | 761.701 | − | 198.116i | 1.26319 | − | 0.328551i | ||||
\(604\) | −196.325 | − | 389.933i | −0.325041 | − | 0.645585i | ||||
\(605\) | −415.338 | + | 439.495i | −0.686510 | + | 0.726439i | ||||
\(606\) | −584.514 | − | 454.182i | −0.964544 | − | 0.749475i | ||||
\(607\) | 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 | ||||
\(609\) | 544.547 | − | 113.660i | 0.894165 | − | 0.186633i | ||||
\(610\) | −2.64260 | − | 25.2235i | −0.00433214 | − | 0.0413499i | ||||
\(611\) | −141.979 | − | 103.154i | −0.232371 | − | 0.168827i | ||||
\(612\) | −210.486 | + | 184.942i | −0.343932 | + | 0.302192i | ||||
\(613\) | −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 | ||||
\(615\) | 18.7509 | + | 78.6570i | 0.0304893 | + | 0.127898i | ||||
\(616\) | 8.69057 | − | 10.0280i | 0.0141081 | − | 0.0162791i | ||||
\(617\) | −483.029 | − | 947.998i | −0.782868 | − | 1.53646i | −0.842779 | − | 0.538260i | \(-0.819082\pi\) |
0.0599111 | − | 0.998204i | \(-0.480918\pi\) | |||||||
\(618\) | −76.3661 | − | 162.640i | −0.123570 | − | 0.263172i | ||||
\(619\) | 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 | ||||
\(621\) | 67.0039 | + | 94.3914i | 0.107897 | + | 0.151999i | ||||
\(622\) | 301.224 | + | 125.620i | 0.484283 | + | 0.201962i | ||||
\(623\) | 362.643 | − | 57.4370i | 0.582092 | − | 0.0921943i | ||||
\(624\) | −119.587 | − | 14.1783i | −0.191647 | − | 0.0227216i | ||||
\(625\) | −258.933 | − | 568.840i | −0.414293 | − | 0.910143i | ||||
\(626\) | 55.5089 | + | 727.675i | 0.0886724 | + | 1.16242i | ||||
\(627\) | 1.61775 | − | 5.95009i | 0.00258015 | − | 0.00948978i | ||||
\(628\) | −640.668 | − | 211.578i | −1.02017 | − | 0.336907i | ||||
\(629\) | −103.973 | − | 319.997i | −0.165299 | − | 0.508739i | ||||
\(630\) | 162.270 | − | 587.529i | 0.257572 | − | 0.932586i | ||||
\(631\) | −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 | ||||
\(633\) | −59.2640 | − | 1216.22i | −0.0936241 | − | 1.92136i | ||||
\(634\) | −262.403 | − | 308.734i | −0.413884 | − | 0.486962i | ||||
\(635\) | −443.618 | − | 575.660i | −0.698610 | − | 0.906552i | ||||
\(636\) | −528.991 | − | 664.695i | −0.831746 | − | 1.04512i | ||||
\(637\) | 7.76360 | + | 1.22963i | 0.0121878 | + | 0.00193035i | ||||
\(638\) | −1.08440 | + | 13.3675i | −0.00169968 | + | 0.0209523i | ||||
\(639\) | 188.805 | − | 18.4439i | 0.295469 | − | 0.0288638i | ||||
\(640\) | 541.836 | − | 340.608i | 0.846618 | − | 0.532200i | ||||
\(641\) | 488.103 | + | 671.816i | 0.761471 | + | 1.04807i | 0.997090 | + | 0.0762292i | \(0.0242881\pi\) |
−0.235620 | + | 0.971845i | \(0.575712\pi\) | |||||||
\(642\) | −841.854 | + | 105.633i | −1.31130 | + | 0.164538i | ||||
\(643\) | 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 | ||||
\(645\) | 439.196 | + | 1065.13i | 0.680924 | + | 1.65136i | ||||
\(646\) | −120.808 | + | 49.7005i | −0.187010 | + | 0.0769358i | ||||
\(647\) | 571.313 | − | 1121.27i | 0.883019 | − | 1.73302i | 0.234023 | − | 0.972231i | \(-0.424811\pi\) |
0.648996 | − | 0.760792i | \(-0.275189\pi\) | |||||||
\(648\) | 625.196 | − | 170.395i | 0.964808 | − | 0.262955i | ||||
\(649\) | 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 | −0.931156 | − | 0.364621i | \(-0.881199\pi\) |
0.842304 | + | 0.539002i | \(0.181199\pi\) | |||||||
\(654\) | −344.120 | − | 11.1035i | −0.526178 | − | 0.0169778i | ||||
\(655\) | 909.307 | − | 170.479i | 1.38825 | − | 0.260274i | ||||
\(656\) | −86.2479 | − | 0.829626i | −0.131475 | − | 0.00126467i | ||||
\(657\) | 51.3582 | − | 859.239i | 0.0781708 | − | 1.30782i | ||||
\(658\) | 493.113 | + | 809.047i | 0.749411 | + | 1.22956i | ||||
\(659\) | 509.592 | + | 701.393i | 0.773281 | + | 1.06433i | 0.995992 | + | 0.0894450i | \(0.0285093\pi\) |
−0.222711 | + | 0.974884i | \(0.571491\pi\) | |||||||
\(660\) | 12.4802 | + | 7.75832i | 0.0189094 | + | 0.0117550i | ||||
\(661\) | −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 | ||||
\(663\) | −32.0852 | + | 49.0121i | −0.0483939 | + | 0.0739247i | ||||
\(664\) | 567.182 | + | 239.743i | 0.854190 | + | 0.361058i | ||||
\(665\) | 160.473 | − | 234.529i | 0.241313 | − | 0.352676i | ||||
\(666\) | −109.081 | + | 770.456i | −0.163786 | + | 1.15684i | ||||
\(667\) | −53.2902 | − | 104.588i | −0.0798953 | − | 0.156803i | ||||
\(668\) | 411.700 | − | 560.963i | 0.616317 | − | 0.839764i | ||||
\(669\) | −293.181 | − | 265.936i | −0.438238 | − | 0.397513i | ||||
\(670\) | −313.662 | + | 816.306i | −0.468153 | + | 1.21837i | ||||
\(671\) | 0.191946 | + | 0.590750i | 0.000286060 | + | 0.000880403i | ||||
\(672\) | 566.434 | + | 319.159i | 0.842908 | + | 0.474939i | ||||
\(673\) | 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 | ||||
\(675\) | 670.802 | + | 75.1652i | 0.993781 | + | 0.111356i | ||||
\(676\) | 643.292 | − | 98.7184i | 0.951616 | − | 0.146033i | ||||
\(677\) | 227.018 | − | 35.9561i | 0.335329 | − | 0.0531109i | 0.0135004 | − | 0.999909i | \(-0.495703\pi\) |
0.321829 | + | 0.946798i | \(0.395703\pi\) | |||||||
\(678\) | −513.716 | + | 481.601i | −0.757693 | + | 0.710325i | ||||
\(679\) | −34.0713 | − | 104.861i | −0.0501786 | − | 0.154434i | ||||
\(680\) | −30.9498 | − | 309.783i | −0.0455144 | − | 0.455563i | ||||
\(681\) | −26.2094 | − | 23.7739i | −0.0384867 | − | 0.0349102i | ||||
\(682\) | −11.7445 | − | 10.0797i | −0.0172206 | − | 0.0147796i | ||||
\(683\) | 115.833 | + | 227.334i | 0.169594 | + | 0.332847i | 0.960123 | − | 0.279578i | \(-0.0901944\pi\) |
−0.790529 | + | 0.612424i | \(0.790194\pi\) | |||||||
\(684\) | 301.484 | + | 19.4758i | 0.440767 | + | 0.0284734i | ||||
\(685\) | −704.516 | + | 251.126i | −1.02849 | + | 0.366607i | ||||
\(686\) | −601.197 | − | 370.406i | −0.876381 | − | 0.539950i | ||||
\(687\) | 66.5539 | − | 101.665i | 0.0968761 | − | 0.147984i | ||||
\(688\) | −1215.59 | + | 180.563i | −1.76685 | + | 0.262446i | ||||
\(689\) | −143.686 | − | 104.394i | −0.208543 | − | 0.151516i | ||||
\(690\) | −128.616 | − | 0.514887i | −0.186400 | − | 0.000746214i | ||||
\(691\) | 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 | ||||
\(693\) | −0.890710 | + | 14.9019i | −0.00128530 | + | 0.0215034i | ||||
\(694\) | −44.2721 | + | 182.472i | −0.0637926 | + | 0.262928i | ||||
\(695\) | −66.2925 | + | 511.732i | −0.0953849 | + | 0.736305i | ||||
\(696\) | −652.379 | + | 78.6734i | −0.937325 | + | 0.113037i | ||||
\(697\) | −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 | \(-0.966632\pi\) | ||
0.994511 | − | 0.104636i | \(-0.0333677\pi\) | |||||||
\(702\) | 116.453 | − | 69.2311i | 0.165888 | − | 0.0986198i | ||||
\(703\) | −164.702 | + | 323.246i | −0.234284 | + | 0.459809i | ||||
\(704\) | −11.2425 | + | 10.9227i | −0.0159695 | + | 0.0155152i | ||||
\(705\) | −798.948 | + | 680.161i | −1.13326 | + | 0.964767i | ||||
\(706\) | 125.386 | − | 516.794i | 0.177601 | − | 0.732003i | ||||
\(707\) | 590.812 | + | 590.812i | 0.835660 | + | 0.835660i | ||||
\(708\) | −1062.59 | + | 216.460i | −1.50083 | + | 0.305734i | ||||
\(709\) | −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 | ||||
\(711\) | 1147.92 | − | 112.138i | 1.61452 | − | 0.157719i | ||||
\(712\) | −432.607 | + | 30.9085i | −0.607595 | + | 0.0434108i | ||||
\(713\) | 133.791 | + | 21.1904i | 0.187645 | + | 0.0297200i | ||||
\(714\) | 261.728 | − | 177.549i | 0.366566 | − | 0.248669i | ||||
\(715\) | 2.94761 | + | 0.866484i | 0.00412253 | + | 0.00121187i | ||||
\(716\) | −281.380 | + | 278.686i | −0.392989 | + | 0.389227i | ||||
\(717\) | −17.3367 | − | 355.784i | −0.0241794 | − | 0.496213i | ||||
\(718\) | 211.268 | + | 181.320i | 0.294244 | + | 0.252535i | ||||
\(719\) | 9.79504 | + | 3.18260i | 0.0136231 | + | 0.00442643i | 0.315821 | − | 0.948819i | \(-0.397720\pi\) |
−0.302197 | + | 0.953245i | \(0.597720\pi\) | |||||||
\(720\) | −250.418 | + | 675.049i | −0.347803 | + | 0.937568i | ||||
\(721\) | 62.6718 | + | 192.884i | 0.0869235 | + | 0.267523i | ||||
\(722\) | −536.374 | − | 223.686i | −0.742901 | − | 0.309815i | ||||
\(723\) | −128.689 | + | 473.317i | −0.177993 | + | 0.654658i | ||||
\(724\) | 130.310 | + | 849.156i | 0.179986 | + | 1.17287i | ||||
\(725\) | −661.890 | − | 174.417i | −0.912951 | − | 0.240574i | ||||
\(726\) | 682.534 | + | 246.375i | 0.940130 | + | 0.339359i | ||||
\(727\) | −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 | ||||
\(729\) | −441.379 | + | 580.195i | −0.605458 | + | 0.795877i | ||||
\(730\) | 743.073 | + | 602.138i | 1.01791 | + | 0.824847i | ||||
\(731\) | −184.733 | + | 568.549i | −0.252713 | + | 0.777769i | ||||
\(732\) | −26.4845 | + | 14.9929i | −0.0361811 | + | 0.0204821i | ||||
\(733\) | 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 | ||||
\(735\) | 18.0539 | − | 43.3897i | 0.0245631 | − | 0.0590336i | ||||
\(736\) | 33.6283 | − | 133.006i | 0.0456906 | − | 0.180715i | ||||
\(737\) | 3.35052 | − | 21.1543i | 0.00454615 | − | 0.0287033i | ||||
\(738\) | 77.5538 | − | 58.3172i | 0.105086 | − | 0.0790206i | ||||
\(739\) | 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 | ||||
\(741\) | 61.8306 | − | 12.9055i | 0.0834421 | − | 0.0174163i | ||||
\(742\) | 499.044 | + | 818.778i | 0.672566 | + | 1.10347i | ||||
\(743\) | 871.076 | − | 871.076i | 1.17238 | − | 1.17238i | 0.190735 | − | 0.981642i | \(-0.438913\pi\) |
0.981642 | − | 0.190735i | \(-0.0610871\pi\) | |||||||
\(744\) | 369.061 | − | 662.428i | 0.496050 | − | 0.890361i | ||||
\(745\) | −542.148 | − | 993.598i | −0.727715 | − | 1.33369i | ||||
\(746\) | 556.903 | − | 229.109i | 0.746519 | − | 0.307117i | ||||
\(747\) | −670.434 | + | 174.378i | −0.897502 | + | 0.233437i | ||||
\(748\) | 2.32133 | + | 7.26300i | 0.00310339 | + | 0.00970989i | ||||
\(749\) | 957.696 | 1.27863 | ||||||||
\(750\) | −501.770 | + | 557.429i | −0.669026 | + | 0.743239i | ||||
\(751\) | 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 | ||||
\(753\) | −349.233 | + | 280.687i | −0.463789 | + | 0.372759i | ||||
\(754\) | −127.050 | + | 52.2684i | −0.168502 | + | 0.0693214i | ||||
\(755\) | −479.039 | + | 261.383i | −0.634488 | + | 0.346203i | ||||
\(756\) | −724.146 | + | 102.978i | −0.957865 | + | 0.136214i | ||||
\(757\) | 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 | ||||
\(759\) | 3.08362 | − | 0.643623i | 0.00406274 | − | 0.000847988i | ||||
\(760\) | −212.590 | + | 259.783i | −0.279723 | + | 0.341820i | ||||
\(761\) | −90.4046 | + | 124.431i | −0.118797 | + | 0.163510i | −0.864274 | − | 0.503021i | \(-0.832222\pi\) |
0.745477 | + | 0.666531i | \(0.232222\pi\) | |||||||
\(762\) | −420.785 | + | 763.886i | −0.552211 | + | 1.00247i | ||||
\(763\) | 383.844 | + | 60.7949i | 0.503072 | + | 0.0796788i | ||||
\(764\) | 95.7855 | − | 185.775i | 0.125374 | − | 0.243162i | ||||
\(765\) | 239.748 | + | 255.322i | 0.313396 | + | 0.333755i | ||||
\(766\) | 651.971 | + | 767.087i | 0.851136 | + | 1.00142i | ||||
\(767\) | −202.009 | + | 102.929i | −0.263375 | + | 0.134196i | ||||
\(768\) | −634.349 | − | 432.927i | −0.825975 | − | 0.563707i | ||||
\(769\) | 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 | ||||
\(771\) | 47.3299 | − | 434.951i | 0.0613877 | − | 0.564139i | ||||
\(772\) | 130.005 | − | 393.663i | 0.168401 | − | 0.509927i | ||||
\(773\) | −129.316 | − | 816.470i | −0.167291 | − | 1.05623i | −0.918283 | − | 0.395924i | \(-0.870424\pi\) |
0.750992 | − | 0.660311i | \(-0.229576\pi\) | |||||||
\(774\) | 961.411 | − | 993.542i | 1.24213 | − | 1.28365i | ||||
\(775\) | 611.798 | − | 499.636i | 0.789417 | − | 0.644692i | ||||
\(776\) | 29.4896 | + | 126.858i | 0.0380021 | + | 0.163477i | ||||
\(777\) | 230.440 | − | 847.558i | 0.296577 | − | 1.09081i | ||||
\(778\) | −657.608 | − | 274.245i | −0.845255 | − | 0.352500i | ||||
\(779\) | 43.0251 | − | 13.9797i | 0.0552312 | − | 0.0179457i | ||||
\(780\) | −12.7719 | + | 149.988i | −0.0163743 | + | 0.192293i | ||||
\(781\) | 1.59528 | − | 4.90977i | 0.00204262 | − | 0.00628652i | ||||
\(782\) | −50.6422 | − | 43.4635i | −0.0647598 | − | 0.0555800i | ||||
\(783\) | 528.448 | − | 516.937i | 0.674902 | − | 0.660200i | ||||
\(784\) | 40.2698 | + | 29.8537i | 0.0513646 | + | 0.0380787i | ||||
\(785\) | −237.856 | + | 809.140i | −0.303001 | + | 1.03075i | ||||
\(786\) | −623.243 | − | 918.732i | −0.792930 | − | 1.16887i | ||||
\(787\) | 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 | ||||
\(789\) | 243.968 | + | 426.170i | 0.309212 | + | 0.540139i | ||||
\(790\) | −641.141 | + | 1109.63i | −0.811570 | + | 1.40460i | ||||
\(791\) | 643.026 | − | 467.186i | 0.812928 | − | 0.590627i | ||||
\(792\) | 2.55594 | − | 17.4479i | 0.00322719 | − | 0.0220302i | ||||
\(793\) | −4.49920 | + | 4.49920i | −0.00567365 | + | 0.00567365i | ||||
\(794\) | 80.3816 | − | 331.302i | 0.101236 | − | 0.417257i | ||||
\(795\) | −808.558 | + | 688.341i | −1.01705 | + | 0.865838i | ||||
\(796\) | 1418.87 | − | 714.374i | 1.78250 | − | 0.897455i | ||||
\(797\) | −1375.35 | − | 700.777i | −1.72566 | − | 0.879268i | −0.976097 | − | 0.217336i | \(-0.930263\pi\) |
−0.749564 | − | 0.661932i | \(-0.769737\pi\) | |||||||
\(798\) | −334.917 | − | 64.1801i | −0.419695 | − | 0.0804262i | ||||
\(799\) | −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 | ||||
\(804\) | 1048.38 | − | 46.0327i | 1.30396 | − | 0.0572545i | ||||
\(805\) | 143.973 | + | 18.6511i | 0.178849 | + | 0.0231691i | ||||
\(806\) | 37.3807 | − | 154.069i | 0.0463780 | − | 0.191152i | ||||
\(807\) | 306.323 | + | 806.837i | 0.379582 | + | 0.999798i | ||||
\(808\) | −635.555 | − | 755.103i | −0.786578 | − | 0.934533i | ||||
\(809\) | −1016.30 | + | 738.382i | −1.25624 | + | 0.912709i | −0.998567 | − | 0.0535239i | \(-0.982955\pi\) |
−0.257670 | + | 0.966233i | \(0.582955\pi\) | |||||||
\(810\) | −238.709 | − | 774.027i | −0.294703 | − | 0.955589i | ||||
\(811\) | 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 | ||||
\(813\) | 253.411 | − | 387.101i | 0.311699 | − | 0.476139i | ||||
\(814\) | 18.0286 | + | 11.1076i | 0.0221481 | + | 0.0136458i | ||||
\(815\) | 505.677 | + | 1418.64i | 0.620463 | + | 1.74066i | ||||
\(816\) | −325.992 | + | 182.479i | −0.399500 | + | 0.223626i | ||||
\(817\) | 574.322 | − | 292.631i | 0.702964 | − | 0.358178i | ||||
\(818\) | −288.812 | − | 247.872i | −0.353071 | − | 0.303023i | ||||
\(819\) | −140.153 | + | 61.1715i | −0.171127 | + | 0.0746905i | ||||
\(820\) | 2.52721 | + | 107.785i | 0.00308196 | + | 0.131445i | ||||
\(821\) | 482.594 | − | 156.804i | 0.587812 | − | 0.190992i | 1.48519e−5 | − | 1.00000i | \(-0.499995\pi\) |
0.587797 | + | 0.809008i | \(0.299995\pi\) | |||||||
\(822\) | 613.847 | + | 654.780i | 0.746772 | + | 0.796570i | ||||
\(823\) | 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 | ||||
\(825\) | 9.17693 | − | 15.9123i | 0.0111236 | − | 0.0192876i | ||||
\(826\) | 1220.49 | − | 93.1020i | 1.47759 | − | 0.112714i | ||||
\(827\) | 189.287 | + | 1195.11i | 0.228884 | + | 1.44511i | 0.787821 | + | 0.615904i | \(0.211209\pi\) |
−0.558937 | + | 0.829210i | \(0.688791\pi\) | |||||||
\(828\) | 61.0581 | + | 141.749i | 0.0737416 | + | 0.171195i | ||||
\(829\) | 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 | ||||
\(831\) | 619.617 | + | 562.037i | 0.745628 | + | 0.676339i | ||||
\(832\) | −151.976 | − | 51.8159i | −0.182664 | − | 0.0622787i | ||||
\(833\) | 21.7272 | − | 11.0705i | 0.0260830 | − | 0.0132900i | ||||
\(834\) | 594.768 | − | 172.255i | 0.713151 | − | 0.206541i | ||||
\(835\) | −717.831 | − | 491.165i | −0.859678 | − | 0.588222i | ||||
\(836\) | 3.76765 | − | 7.30734i | 0.00450676 | − | 0.00874084i | ||||
\(837\) | 124.166 | + | 844.002i | 0.148347 | + | 1.00837i | ||||
\(838\) | −110.406 | − | 8.95636i | −0.131750 | − | 0.0106878i | ||||
\(839\) | −734.802 | + | 1011.37i | −0.875806 | + | 1.20544i | 0.101758 | + | 0.994809i | \(0.467553\pi\) |
−0.977565 | + | 0.210635i | \(0.932447\pi\) | |||||||
\(840\) | 375.326 | − | 720.843i | 0.446817 | − | 0.858146i | ||||
\(841\) | 73.9194 | − | 53.7056i | 0.0878946 | − | 0.0638592i | ||||
\(842\) | 160.492 | + | 263.318i | 0.190608 | + | 0.312729i | ||||
\(843\) | 673.928 | − | 255.863i | 0.799440 | − | 0.303514i | ||||
\(844\) | 261.689 | − | 1602.32i | 0.310058 | − | 1.89849i | ||||
\(845\) | −149.911 | − | 799.597i | −0.177409 | − | 0.946268i | ||||
\(846\) | 1131.11 | + | 553.109i | 1.33701 | + | 0.653793i | ||||
\(847\) | −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 | ||||||||
\(852\) | 251.319 | + | 28.5714i | 0.294976 | + | 0.0335345i | ||||
\(853\) | −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 | ||||
\(855\) | 11.8745 | − | 377.454i | 0.0138882 | − | 0.441467i | ||||
\(856\) | −1127.12 | − | 96.8923i | −1.31673 | − | 0.113192i | ||||
\(857\) | −674.156 | + | 674.156i | −0.786647 | + | 0.786647i | −0.980943 | − | 0.194296i | \(-0.937758\pi\) |
0.194296 | + | 0.980943i | \(0.437758\pi\) | |||||||
\(858\) | −0.459009 | − | 3.65811i | −0.000534975 | − | 0.00426353i | ||||
\(859\) | −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 | ||||
\(861\) | −95.0533 | + | 54.4148i | −0.110399 | + | 0.0631996i | ||||
\(862\) | 21.9509 | − | 270.592i | 0.0254651 | − | 0.313912i | ||||
\(863\) | 84.1193 | − | 531.109i | 0.0974732 | − | 0.615421i | −0.889795 | − | 0.456360i | \(-0.849153\pi\) |
0.987269 | − | 0.159062i | \(-0.0508469\pi\) | |||||||
\(864\) | 862.669 | − | 47.9318i | 0.998460 | − | 0.0554766i | ||||
\(865\) | 441.464 | − | 340.203i | 0.510363 | − | 0.393298i | ||||
\(866\) | −574.821 | − | 676.316i | −0.663766 | − | 0.780965i | ||||
\(867\) | −33.3522 | − | 684.457i | −0.0384685 | − | 0.789454i | ||||
\(868\) | −506.429 | + | 690.036i | −0.583443 | + | 0.794972i | ||||
\(869\) | 9.69924 | − | 29.8512i | 0.0111614 | − | 0.0343512i | ||||
\(870\) | 125.244 | + | 811.777i | 0.143958 | + | 0.933077i | ||||
\(871\) | 208.660 | − | 67.7976i | 0.239563 | − | 0.0778389i | ||||
\(872\) | −445.597 | − | 110.384i | −0.511006 | − | 0.126587i | ||||
\(873\) | −113.188 | − | 93.0417i | −0.129654 | − | 0.106577i | ||||
\(874\) | 5.47317 | + | 71.7486i | 0.00626220 | + | 0.0820922i | ||||
\(875\) | 640.303 | − | 553.790i | 0.731775 | − | 0.632903i | ||||
\(876\) | 306.436 | − | 1106.03i | 0.349812 | − | 1.26259i | ||||
\(877\) | 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 | ||||
\(879\) | −1307.15 | − | 142.240i | −1.48709 | − | 0.161820i | ||||
\(880\) | 14.1104 | + | 13.5942i | 0.0160346 | + | 0.0154479i | ||||
\(881\) | −1197.70 | − | 389.155i | −1.35947 | − | 0.441720i | −0.463606 | − | 0.886041i | \(-0.653445\pi\) |
−0.895867 | + | 0.444321i | \(0.853445\pi\) | |||||||
\(882\) | −56.3874 | + | 0.926777i | −0.0639313 | + | 0.00105077i | ||||
\(883\) | 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 | ||||
\(885\) | 314.332 | + | 1318.57i | 0.355177 | + | 1.48991i | ||||
\(886\) | 781.525 | − | 1268.48i | 0.882082 | − | 1.43169i | ||||
\(887\) | −965.413 | − | 152.906i | −1.08840 | − | 0.172386i | −0.413654 | − | 0.910434i | \(-0.635748\pi\) |
−0.674748 | + | 0.738048i | \(0.735748\pi\) | |||||||
\(888\) | −356.956 | + | 974.181i | −0.401977 | + | 1.09705i | ||||
\(889\) | 578.616 | − | 796.396i | 0.650861 | − | 0.895834i | ||||
\(890\) | 56.4893 | + | 539.187i | 0.0634712 | + | 0.605828i | ||||
\(891\) | 9.66592 | + | 17.3244i | 0.0108484 | + | 0.0194437i | ||||
\(892\) | −308.156 | − | 428.459i | −0.345467 | − | 0.480335i | ||||
\(893\) | 415.090 | + | 415.090i | 0.464826 | + | 0.464826i | ||||
\(894\) | −833.388 | + | 1072.54i | −0.932201 | + | 1.19971i | ||||
\(895\) | 359.794 | + | 340.018i | 0.402004 | + | 0.379908i | ||||
\(896\) | 649.612 | + | 574.010i | 0.725014 | + | 0.640637i | ||||
\(897\) | 20.2148 | + | 25.1514i | 0.0225360 | + | 0.0280394i | ||||
\(898\) | −1032.44 | + | 245.242i | −1.14971 | + | 0.273098i | ||||
\(899\) | − | 865.073i | − | 0.962262i | ||||||
\(900\) | 853.697 | + | 284.960i | 0.948552 | + | 0.316622i | ||||
\(901\) | −550.981 | −0.611522 | ||||||||
\(902\) | −0.610258 | − | 2.56911i | −0.000676560 | − | 0.00284823i | ||||
\(903\) | −1216.37 | + | 977.630i | −1.34704 | + | 1.08265i | ||||
\(904\) | −804.046 | + | 484.777i | −0.889432 | + | 0.536257i | ||||
\(905\) | 1055.48 | − | 197.884i | 1.16628 | − | 0.218657i | ||||
\(906\) | 517.097 | + | 401.797i | 0.570748 | + | 0.443485i | ||||
\(907\) | 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 | ||||
\(909\) | 1084.35 | + | 238.819i | 1.19291 | + | 0.262728i | ||||
\(910\) | 35.3821 | − | 166.188i | 0.0388814 | − | 0.182624i | ||||
\(911\) | 964.623 | + | 700.840i | 1.05886 | + | 0.769308i | 0.973877 | − | 0.227074i | \(-0.0729161\pi\) |
0.0849841 | + | 0.996382i | \(0.472916\pi\) | |||||||
\(912\) | 387.672 | + | 109.418i | 0.425079 | + | 0.119976i | ||||
\(913\) | −2.94906 | + | 18.6196i | −0.00323007 | + | 0.0203939i | ||||
\(914\) | 288.583 | + | 177.800i | 0.315737 | + | 0.194530i | ||||
\(915\) | 19.8252 | + | 32.4681i | 0.0216668 | + | 0.0354843i | ||||
\(916\) | 115.112 | − | 114.010i | 0.125669 | − | 0.124466i | ||||
\(917\) | 568.904 | + | 1116.54i | 0.620397 | + | 1.21760i | ||||
\(918\) | 166.032 | − | 386.104i | 0.180863 | − | 0.420592i | ||||
\(919\) | −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 | ||||
\(921\) | −59.0514 | + | 542.669i | −0.0641166 | + | 0.589217i | ||||
\(922\) | 67.1237 | − | 160.955i | 0.0728023 | − | 0.174572i | ||||
\(923\) | 52.2310 | − | 8.27258i | 0.0565883 | − | 0.00896270i | ||||
\(924\) | −5.31454 | + | 19.1820i | −0.00575167 | + | 0.0207597i | ||||
\(925\) | −719.828 | + | 806.143i | −0.778193 | + | 0.871506i | ||||
\(926\) | 432.679 | − | 33.0058i | 0.467256 | − | 0.0356435i | ||||
\(927\) | 208.202 | + | 171.144i | 0.224597 | + | 0.184622i | ||||
\(928\) | −872.550 | − | 79.2377i | −0.940248 | − | 0.0853855i | ||||
\(929\) | −51.8395 | − | 159.545i | −0.0558014 | − | 0.171739i | 0.919271 | − | 0.393624i | \(-0.128779\pi\) |
−0.975073 | + | 0.221885i | \(0.928779\pi\) | |||||||
\(930\) | −842.832 | − | 433.703i | −0.906271 | − | 0.466348i | ||||
\(931\) | −25.0058 | − | 8.12488i | −0.0268591 | − | 0.00872705i | ||||
\(932\) | −500.499 | + | 681.956i | −0.537016 | + | 0.731713i | ||||
\(933\) | −488.972 | + | 23.8266i | −0.524086 | + | 0.0255377i | ||||
\(934\) | 819.577 | − | 696.584i | 0.877492 | − | 0.745807i | ||||
\(935\) | 8.97787 | − | 3.20018i | 0.00960200 | − | 0.00342265i | ||||
\(936\) | 171.136 | − | 57.8134i | 0.182838 | − | 0.0617664i | ||||
\(937\) | −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 | ||||
\(939\) | −543.859 | − | 950.026i | −0.579189 | − | 1.01174i | ||||
\(940\) | −1231.29 | + | 664.180i | −1.30989 | + | 0.706575i | ||||
\(941\) | 634.898 | + | 873.862i | 0.674706 | + | 0.928653i | 0.999855 | − | 0.0170099i | \(-0.00541466\pi\) |
−0.325150 | + | 0.945663i | \(0.605415\pi\) | |||||||
\(942\) | 1004.18 | − | 126.001i | 1.06600 | − | 0.133759i | ||||
\(943\) | 16.3422 | + | 16.3422i | 0.0173300 | + | 0.0173300i | ||||
\(944\) | −1445.82 | − | 13.9074i | −1.53159 | − | 0.0147325i | ||||
\(945\) | 158.573 | + | 900.433i | 0.167802 | + | 0.952839i | ||||
\(946\) | −14.3143 | − | 34.7942i | −0.0151314 | − | 0.0367803i | ||||
\(947\) | 352.705 | − | 692.223i | 0.372445 | − | 0.730964i | −0.626376 | − | 0.779521i | \(-0.715462\pi\) |
0.998820 | + | 0.0485572i | \(0.0154623\pi\) | |||||||
\(948\) | 1528.01 | + | 173.712i | 1.61182 | + | 0.183241i | ||||
\(949\) | − | 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 | \(-0.665564\pi\) |
0.994154 | − | 0.107973i | \(-0.0344359\pi\) | |||||||
\(954\) | 1144.72 | + | 559.761i | 1.19992 | + | 0.586752i | ||||
\(955\) | −236.050 | − | 111.990i | −0.247173 | − | 0.117267i | ||||
\(956\) | 76.5525 | − | 468.732i | 0.0800758 | − | 0.490305i | ||||
\(957\) | −7.14037 | − | 18.8073i | −0.00746120 | − | 0.0196524i | ||||
\(958\) | −716.275 | + | 436.568i | −0.747677 | + | 0.455708i | ||||
\(959\) | −595.473 | − | 819.599i | −0.620931 | − | 0.854639i | ||||
\(960\) | −514.652 | + | 810.391i | −0.536096 | + | 0.844157i | ||||
\(961\) | 30.1713 | + | 21.9208i | 0.0313958 | + | 0.0228104i | ||||
\(962\) | −17.5389 | + | 216.205i | −0.0182318 | + | 0.224746i | ||||
\(963\) | 1072.42 | − | 685.299i | 1.11363 | − | 0.711630i | ||||
\(964\) | −299.709 | + | 581.284i | −0.310901 | + | 0.602991i | ||||
\(965\) | −497.182 | − | 146.152i | −0.515214 | − | 0.151453i | ||||
\(966\) | −48.4632 | − | 167.335i | −0.0501689 | − | 0.173225i | ||||
\(967\) | −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 | ||||
\(969\) | 131.649 | − | 145.136i | 0.135861 | − | 0.149779i | ||||
\(970\) | 157.267 | − | 42.0835i | 0.162131 | − | 0.0433851i | ||||
\(971\) | −80.5211 | − | 247.818i | −0.0829259 | − | 0.255220i | 0.900994 | − | 0.433833i | \(-0.142839\pi\) |
−0.983919 | + | 0.178613i | \(0.942839\pi\) | |||||||
\(972\) | −737.206 | + | 633.492i | −0.758442 | + | 0.651740i | ||||
\(973\) | −690.330 | + | 109.337i | −0.709486 | + | 0.112371i | ||||
\(974\) | −93.4410 | − | 1224.93i | −0.0959353 | − | 1.25763i | ||||
\(975\) | 187.911 | + | 9.75882i | 0.192729 | + | 0.0100090i | ||||
\(976\) | −38.7112 | + | 12.1676i | −0.0396631 | + | 0.0124668i | ||||
\(977\) | 612.815 | − | 97.0604i | 0.627242 | − | 0.0993453i | 0.165282 | − | 0.986246i | \(-0.447147\pi\) |
0.461959 | + | 0.886901i | \(0.347147\pi\) | |||||||
\(978\) | 1318.49 | − | 1236.07i | 1.34815 | − | 1.26387i | ||||
\(979\) | −4.10312 | − | 12.6281i | −0.00419114 | − | 0.0128990i | ||||
\(980\) | 35.6329 | − | 51.5433i | 0.0363601 | − | 0.0525952i | ||||
\(981\) | 473.329 | − | 206.590i | 0.482496 | − | 0.210591i | ||||
\(982\) | −441.649 | + | 514.594i | −0.449744 | + | 0.524026i | ||||
\(983\) | −534.632 | − | 1049.27i | −0.543878 | − | 1.06742i | −0.985414 | − | 0.170176i | \(-0.945566\pi\) |
0.441536 | − | 0.897243i | \(-0.354434\pi\) | |||||||
\(984\) | 117.374 | − | 54.4243i | 0.119282 | − | 0.0553093i | ||||
\(985\) | −40.3178 | − | 1426.71i | −0.0409318 | − | 1.44844i | ||||
\(986\) | −223.559 | + | 362.854i | −0.226734 | + | 0.368006i | ||||
\(987\) | −1189.09 | − | 778.421i | −1.20475 | − | 0.788674i | ||||
\(988\) | 84.2165 | + | 0.405033i | 0.0852394 | + | 0.000409953i | ||||
\(989\) | 266.405 | + | 193.554i | 0.269368 | + | 0.195707i | ||||
\(990\) | −21.9036 | − | 2.47224i | −0.0221249 | − | 0.00249721i | ||||
\(991\) | 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 | ||||
\(993\) | −1205.62 | + | 457.723i | −1.21412 | + | 0.460950i | ||||
\(994\) | −277.455 | − | 67.3171i | −0.279130 | − | 0.0677234i | ||||
\(995\) | −951.106 | − | 1743.10i | −0.955886 | − | 1.75186i | ||||
\(996\) | −922.765 | + | 40.5170i | −0.926471 | + | 0.0406797i | ||||
\(997\) | 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.287.9 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.108 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.5 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.112 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.112 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.5 | ✓ | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.108 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.9 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.5 | ✓ | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.9 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.108 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.112 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.287.5 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.9 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.108 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.112 | yes | 928 | 12.11 | even | 2 | inner |