Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(2,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(196))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.i (of order \(196\), degree \(84\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(2688\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{196})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{196}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 197.2 |
Dual form | 197.3.i.a.99.2 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{196}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.55486 | − | 0.0569840i | −1.77743 | − | 0.0284920i | −0.881370 | − | 0.472428i | \(-0.843378\pi\) |
−0.896059 | + | 0.443936i | \(0.853582\pi\) | |||||||
\(3\) | 1.99334 | − | 0.488708i | 0.664447 | − | 0.162903i | 0.108469 | − | 0.994100i | \(-0.465405\pi\) |
0.555978 | + | 0.831197i | \(0.312344\pi\) | |||||||
\(4\) | 8.63581 | + | 0.276934i | 2.15895 | + | 0.0692334i | ||||
\(5\) | −0.673805 | − | 4.63842i | −0.134761 | − | 0.927685i | −0.941557 | − | 0.336854i | \(-0.890637\pi\) |
0.806796 | − | 0.590830i | \(-0.201200\pi\) | |||||||
\(6\) | −7.11389 | + | 1.62370i | −1.18565 | + | 0.270616i | ||||
\(7\) | −5.67297 | + | 5.85781i | −0.810424 | + | 0.836830i | −0.989126 | − | 0.147074i | \(-0.953015\pi\) |
0.178701 | + | 0.983903i | \(0.442810\pi\) | |||||||
\(8\) | −16.4785 | − | 0.792989i | −2.05981 | − | 0.0991236i | ||||
\(9\) | −4.24482 | + | 2.21452i | −0.471647 | + | 0.246058i | ||||
\(10\) | 2.13096 | + | 16.5273i | 0.213096 | + | 1.65273i | ||||
\(11\) | −6.27628 | − | 3.14740i | −0.570571 | − | 0.286127i | 0.139541 | − | 0.990216i | \(-0.455437\pi\) |
−0.710112 | + | 0.704089i | \(0.751356\pi\) | |||||||
\(12\) | 17.3495 | − | 3.66837i | 1.44579 | − | 0.305697i | ||||
\(13\) | 8.31806 | + | 3.52382i | 0.639851 | + | 0.271063i | 0.685699 | − | 0.727886i | \(-0.259497\pi\) |
−0.0458477 | + | 0.998948i | \(0.514599\pi\) | |||||||
\(14\) | 20.5004 | − | 20.5004i | 1.46431 | − | 1.46431i | ||||
\(15\) | −3.60996 | − | 8.91666i | −0.240664 | − | 0.594444i | ||||
\(16\) | 24.0434 | + | 1.54364i | 1.50272 | + | 0.0964775i | ||||
\(17\) | 1.03619 | − | 0.698379i | 0.0609521 | − | 0.0410811i | −0.528044 | − | 0.849217i | \(-0.677074\pi\) |
0.588996 | + | 0.808136i | \(0.299523\pi\) | |||||||
\(18\) | 15.2159 | − | 7.63042i | 0.845329 | − | 0.423912i | ||||
\(19\) | −15.2286 | + | 12.1444i | −0.801507 | + | 0.639180i | −0.936105 | − | 0.351720i | \(-0.885597\pi\) |
0.134599 | + | 0.990900i | \(0.457025\pi\) | |||||||
\(20\) | −4.53431 | − | 40.2432i | −0.226716 | − | 2.01216i | ||||
\(21\) | −8.44540 | + | 14.4490i | −0.402162 | + | 0.688049i | ||||
\(22\) | 22.1319 | + | 11.5462i | 1.00600 | + | 0.524827i | ||||
\(23\) | −3.07114 | + | 8.34528i | −0.133528 | + | 0.362838i | −0.987530 | − | 0.157431i | \(-0.949679\pi\) |
0.854002 | + | 0.520270i | \(0.174169\pi\) | |||||||
\(24\) | −33.2348 | + | 6.47247i | −1.38478 | + | 0.269686i | ||||
\(25\) | 2.90574 | − | 0.862409i | 0.116230 | − | 0.0344964i | ||||
\(26\) | −29.3687 | − | 13.0007i | −1.12957 | − | 0.500025i | ||||
\(27\) | −21.2504 | + | 18.6863i | −0.787050 | + | 0.692086i | ||||
\(28\) | −50.6129 | + | 49.0159i | −1.80760 | + | 1.75057i | ||||
\(29\) | 2.95232 | + | 1.92175i | 0.101804 | + | 0.0662671i | 0.595430 | − | 0.803407i | \(-0.296982\pi\) |
−0.493626 | + | 0.869674i | \(0.664329\pi\) | |||||||
\(30\) | 12.3248 | + | 31.9032i | 0.410826 | + | 1.06344i | ||||
\(31\) | −35.4115 | + | 42.9731i | −1.14231 | + | 1.38623i | −0.231785 | + | 0.972767i | \(0.574457\pi\) |
−0.910521 | + | 0.413463i | \(0.864319\pi\) | |||||||
\(32\) | −19.6046 | − | 1.57454i | −0.612645 | − | 0.0492044i | ||||
\(33\) | −14.0489 | − | 3.20657i | −0.425725 | − | 0.0971689i | ||||
\(34\) | −3.72329 | + | 2.42359i | −0.109508 | + | 0.0712821i | ||||
\(35\) | 30.9935 | + | 22.3666i | 0.885527 | + | 0.639046i | ||||
\(36\) | −37.2708 | + | 17.9487i | −1.03530 | + | 0.498574i | ||||
\(37\) | −25.9267 | + | 1.66455i | −0.700722 | + | 0.0449878i | −0.410353 | − | 0.911927i | \(-0.634594\pi\) |
−0.290369 | + | 0.956915i | \(0.593778\pi\) | |||||||
\(38\) | 54.8276 | − | 42.3039i | 1.44283 | − | 1.11326i | ||||
\(39\) | 18.3028 | + | 2.95906i | 0.469304 | + | 0.0758734i | ||||
\(40\) | 7.42506 | + | 76.9685i | 0.185626 | + | 1.92421i | ||||
\(41\) | −13.9557 | + | 71.6595i | −0.340383 | + | 1.74779i | 0.276757 | + | 0.960940i | \(0.410740\pi\) |
−0.617140 | + | 0.786854i | \(0.711709\pi\) | |||||||
\(42\) | 30.8456 | − | 50.8830i | 0.734418 | − | 1.21150i | ||||
\(43\) | −11.0140 | − | 33.1725i | −0.256140 | − | 0.771454i | −0.995204 | − | 0.0978188i | \(-0.968813\pi\) |
0.739064 | − | 0.673635i | \(-0.235268\pi\) | |||||||
\(44\) | −53.3291 | − | 28.9185i | −1.21203 | − | 0.657238i | ||||
\(45\) | 13.1321 | + | 18.1971i | 0.291824 | + | 0.404381i | ||||
\(46\) | 11.3930 | − | 29.4913i | 0.247674 | − | 0.641115i | ||||
\(47\) | −27.8937 | − | 49.5281i | −0.593484 | − | 1.05379i | −0.990700 | − | 0.136065i | \(-0.956554\pi\) |
0.397216 | − | 0.917725i | \(-0.369976\pi\) | |||||||
\(48\) | 48.6812 | − | 8.67322i | 1.01419 | − | 0.180692i | ||||
\(49\) | −0.560790 | − | 17.4875i | −0.0114447 | − | 0.356888i | ||||
\(50\) | −10.3786 | + | 2.90016i | −0.207573 | + | 0.0580032i | ||||
\(51\) | 1.72417 | − | 1.89850i | 0.0338072 | − | 0.0372255i | ||||
\(52\) | 70.8573 | + | 32.7346i | 1.36264 | + | 0.629511i | ||||
\(53\) | −18.1465 | − | 40.9932i | −0.342387 | − | 0.773457i | −0.999801 | − | 0.0199285i | \(-0.993656\pi\) |
0.657415 | − | 0.753529i | \(-0.271650\pi\) | |||||||
\(54\) | 76.6068 | − | 65.2163i | 1.41864 | − | 1.20771i | ||||
\(55\) | −10.3700 | + | 31.2328i | −0.188545 | + | 0.567868i | ||||
\(56\) | 98.1271 | − | 92.0291i | 1.75227 | − | 1.64338i | ||||
\(57\) | −24.4208 | + | 31.6503i | −0.428434 | + | 0.555269i | ||||
\(58\) | −10.3856 | − | 6.99977i | −0.179061 | − | 0.120686i | ||||
\(59\) | −3.63758 | − | 0.469014i | −0.0616539 | − | 0.00794939i | 0.0969884 | − | 0.995286i | \(-0.469079\pi\) |
−0.158642 | + | 0.987336i | \(0.550712\pi\) | |||||||
\(60\) | −28.7056 | − | 78.0023i | −0.478426 | − | 1.30004i | ||||
\(61\) | 37.4166 | + | 61.7226i | 0.613387 | + | 1.01185i | 0.996122 | + | 0.0879871i | \(0.0280434\pi\) |
−0.382735 | + | 0.923858i | \(0.625018\pi\) | |||||||
\(62\) | 128.331 | − | 150.745i | 2.06986 | − | 2.43138i | ||||
\(63\) | 11.1085 | − | 37.4283i | 0.176326 | − | 0.594100i | ||||
\(64\) | −26.3245 | − | 2.53949i | −0.411320 | − | 0.0396796i | ||||
\(65\) | 10.7402 | − | 40.9570i | 0.165234 | − | 0.630108i | ||||
\(66\) | 49.7591 | + | 12.1995i | 0.753927 | + | 0.184840i | ||||
\(67\) | 22.0320 | + | 6.15652i | 0.328836 | + | 0.0918884i | 0.429593 | − | 0.903023i | \(-0.358657\pi\) |
−0.100757 | + | 0.994911i | \(0.532126\pi\) | |||||||
\(68\) | 9.14171 | − | 5.74412i | 0.134437 | − | 0.0844723i | ||||
\(69\) | −2.04342 | + | 18.1359i | −0.0296148 | + | 0.262839i | ||||
\(70\) | −108.903 | − | 81.2762i | −1.55575 | − | 1.16109i | ||||
\(71\) | −26.0238 | − | 8.17981i | −0.366533 | − | 0.115209i | 0.111005 | − | 0.993820i | \(-0.464593\pi\) |
−0.477538 | + | 0.878611i | \(0.658471\pi\) | |||||||
\(72\) | 71.7043 | − | 33.1258i | 0.995893 | − | 0.460081i | ||||
\(73\) | 76.0535 | + | 66.8770i | 1.04183 | + | 0.916124i | 0.996562 | − | 0.0828510i | \(-0.0264026\pi\) |
0.0452667 | + | 0.998975i | \(0.485586\pi\) | |||||||
\(74\) | 92.2606 | − | 4.43983i | 1.24676 | − | 0.0599977i | ||||
\(75\) | 5.37067 | − | 3.13913i | 0.0716089 | − | 0.0418551i | ||||
\(76\) | −134.875 | + | 100.660i | −1.77467 | + | 1.32447i | ||||
\(77\) | 54.0420 | − | 18.9101i | 0.701844 | − | 0.245586i | ||||
\(78\) | −64.8954 | − | 11.5620i | −0.831992 | − | 0.148231i | ||||
\(79\) | 2.40106 | − | 16.5288i | 0.0303932 | − | 0.209225i | −0.968872 | − | 0.247564i | \(-0.920370\pi\) |
0.999265 | + | 0.0383391i | \(0.0122067\pi\) | |||||||
\(80\) | −9.04052 | − | 112.564i | −0.113007 | − | 1.40705i | ||||
\(81\) | −8.57462 | + | 12.2924i | −0.105860 | + | 0.151758i | ||||
\(82\) | 53.6939 | − | 253.944i | 0.654804 | − | 3.09688i | ||||
\(83\) | −101.208 | − | 80.7104i | −1.21937 | − | 0.972415i | −0.219375 | − | 0.975641i | \(-0.570402\pi\) |
−0.999995 | + | 0.00322588i | \(0.998973\pi\) | |||||||
\(84\) | −76.9343 | + | 122.440i | −0.915885 | + | 1.45762i | ||||
\(85\) | −3.93756 | − | 4.33570i | −0.0463243 | − | 0.0510082i | ||||
\(86\) | 37.2630 | + | 118.551i | 0.433291 | + | 1.37850i | ||||
\(87\) | 6.82415 | + | 2.38787i | 0.0784385 | + | 0.0274468i | ||||
\(88\) | 100.928 | + | 56.8414i | 1.14690 | + | 0.645925i | ||||
\(89\) | −3.85919 | − | 4.68327i | −0.0433617 | − | 0.0526210i | 0.749608 | − | 0.661882i | \(-0.230242\pi\) |
−0.792970 | + | 0.609261i | \(0.791466\pi\) | |||||||
\(90\) | −45.6457 | − | 65.4365i | −0.507174 | − | 0.727072i | ||||
\(91\) | −67.8299 | + | 28.7351i | −0.745384 | + | 0.315770i | ||||
\(92\) | −28.8329 | + | 71.2178i | −0.313401 | + | 0.774106i | ||||
\(93\) | −49.5858 | + | 102.966i | −0.533181 | + | 1.10716i | ||||
\(94\) | 96.3359 | + | 177.655i | 1.02485 | + | 1.88995i | ||||
\(95\) | 66.5921 | + | 62.4538i | 0.700969 | + | 0.657409i | ||||
\(96\) | −39.8482 | + | 6.44235i | −0.415086 | + | 0.0671078i | ||||
\(97\) | −24.9260 | − | 95.0536i | −0.256969 | − | 0.979934i | −0.962506 | − | 0.271261i | \(-0.912559\pi\) |
0.705537 | − | 0.708673i | \(-0.250706\pi\) | |||||||
\(98\) | 0.997020 | + | 62.1975i | 0.0101737 | + | 0.634668i | ||||
\(99\) | 33.6117 | − | 0.538792i | 0.339512 | − | 0.00544234i | ||||
\(100\) | 25.3323 | − | 6.64290i | 0.253323 | − | 0.0664290i | ||||
\(101\) | 23.5832 | + | 145.870i | 0.233497 | + | 1.44426i | 0.789842 | + | 0.613310i | \(0.210163\pi\) |
−0.556345 | + | 0.830951i | \(0.687797\pi\) | |||||||
\(102\) | −6.23735 | + | 6.65064i | −0.0611505 | + | 0.0652024i | ||||
\(103\) | −99.9019 | + | 54.1732i | −0.969921 | + | 0.525953i | −0.882548 | − | 0.470222i | \(-0.844174\pi\) |
−0.0873731 | + | 0.996176i | \(0.527847\pi\) | |||||||
\(104\) | −134.275 | − | 64.6633i | −1.29110 | − | 0.621762i | ||||
\(105\) | 72.7113 | + | 29.4375i | 0.692488 | + | 0.280357i | ||||
\(106\) | 62.1722 | + | 146.759i | 0.586530 | + | 1.38452i | ||||
\(107\) | 73.4816 | − | 51.2576i | 0.686744 | − | 0.479043i | −0.176192 | − | 0.984356i | \(-0.556378\pi\) |
0.862936 | + | 0.505313i | \(0.168623\pi\) | |||||||
\(108\) | −188.689 | + | 155.487i | −1.74712 | + | 1.43969i | ||||
\(109\) | 78.7935 | − | 139.906i | 0.722876 | − | 1.28354i | −0.227907 | − | 0.973683i | \(-0.573188\pi\) |
0.950783 | − | 0.309857i | \(-0.100281\pi\) | |||||||
\(110\) | 38.6436 | − | 110.437i | 0.351305 | − | 1.00397i | ||||
\(111\) | −50.8673 | + | 15.9886i | −0.458264 | + | 0.144041i | ||||
\(112\) | −145.440 | + | 132.085i | −1.29857 | + | 1.17933i | ||||
\(113\) | −76.0004 | − | 47.7542i | −0.672570 | − | 0.422604i | 0.151987 | − | 0.988382i | \(-0.451433\pi\) |
−0.824557 | + | 0.565779i | \(0.808576\pi\) | |||||||
\(114\) | 88.6158 | − | 111.121i | 0.777332 | − | 0.974743i | ||||
\(115\) | 40.7783 | + | 8.62216i | 0.354594 | + | 0.0749753i | ||||
\(116\) | 24.9635 | + | 17.4134i | 0.215202 | + | 0.150116i | ||||
\(117\) | −43.1123 | + | 3.46255i | −0.368481 | + | 0.0295944i | ||||
\(118\) | 12.9044 | + | 1.87456i | 0.109359 | + | 0.0158861i | ||||
\(119\) | −1.78728 | + | 10.0317i | −0.0150192 | + | 0.0842996i | ||||
\(120\) | 52.4158 | + | 149.796i | 0.436798 | + | 1.24830i | ||||
\(121\) | −42.8859 | − | 57.4631i | −0.354429 | − | 0.474902i | ||||
\(122\) | −129.493 | − | 221.547i | −1.06142 | − | 1.81596i | ||||
\(123\) | 7.20215 | + | 149.662i | 0.0585540 | + | 1.21677i | ||||
\(124\) | −317.708 | + | 361.301i | −2.56216 | + | 2.91372i | ||||
\(125\) | −55.1010 | − | 119.272i | −0.440808 | − | 0.954174i | ||||
\(126\) | −41.6220 | + | 132.419i | −0.330333 | + | 1.05095i | ||||
\(127\) | 143.829 | − | 192.717i | 1.13251 | − | 1.51746i | 0.308200 | − | 0.951322i | \(-0.400274\pi\) |
0.824310 | − | 0.566138i | \(-0.191563\pi\) | |||||||
\(128\) | 171.611 | + | 19.3360i | 1.34071 | + | 0.151062i | ||||
\(129\) | −38.1664 | − | 60.7415i | −0.295864 | − | 0.470864i | ||||
\(130\) | −40.5138 | + | 144.984i | −0.311644 | + | 1.11526i | ||||
\(131\) | 7.66500 | − | 31.2640i | 0.0585115 | − | 0.238656i | −0.934622 | − | 0.355642i | \(-0.884262\pi\) |
0.993134 | + | 0.116986i | \(0.0373233\pi\) | |||||||
\(132\) | −120.436 | − | 31.5820i | −0.912392 | − | 0.239257i | ||||
\(133\) | 15.2518 | − | 158.101i | 0.114675 | − | 1.18873i | ||||
\(134\) | −77.9698 | − | 23.1410i | −0.581864 | − | 0.172694i | ||||
\(135\) | 100.994 | + | 85.9772i | 0.748102 | + | 0.636868i | ||||
\(136\) | −17.6286 | + | 10.6865i | −0.129622 | + | 0.0785775i | ||||
\(137\) | −84.1936 | + | 30.9840i | −0.614552 | + | 0.226161i | −0.633604 | − | 0.773658i | \(-0.718425\pi\) |
0.0190520 | + | 0.999818i | \(0.493935\pi\) | |||||||
\(138\) | 8.29753 | − | 64.3540i | 0.0601270 | − | 0.466333i | ||||
\(139\) | 20.9243 | − | 31.0454i | 0.150534 | − | 0.223348i | −0.746416 | − | 0.665480i | \(-0.768227\pi\) |
0.896950 | + | 0.442132i | \(0.145778\pi\) | |||||||
\(140\) | 261.460 | + | 201.737i | 1.86757 | + | 1.44098i | ||||
\(141\) | −79.8065 | − | 85.0946i | −0.566004 | − | 0.603508i | ||||
\(142\) | 92.0449 | + | 30.5610i | 0.648203 | + | 0.215218i | ||||
\(143\) | −41.1156 | − | 48.2967i | −0.287522 | − | 0.337739i | ||||
\(144\) | −105.479 | + | 46.6922i | −0.732490 | + | 0.324252i | ||||
\(145\) | 6.92459 | − | 14.9890i | 0.0477558 | − | 0.103372i | ||||
\(146\) | −266.548 | − | 242.072i | −1.82567 | − | 1.65803i | ||||
\(147\) | −9.66413 | − | 34.5845i | −0.0657424 | − | 0.235269i | ||||
\(148\) | −224.359 | + | 7.19476i | −1.51594 | + | 0.0486132i | ||||
\(149\) | 3.57222 | + | 20.0502i | 0.0239746 | + | 0.134565i | 0.994182 | − | 0.107709i | \(-0.0343515\pi\) |
−0.970208 | + | 0.242274i | \(0.922107\pi\) | |||||||
\(150\) | −19.2708 | + | 10.8531i | −0.128472 | + | 0.0723542i | ||||
\(151\) | −65.6156 | − | 25.3485i | −0.434540 | − | 0.167871i | 0.133181 | − | 0.991092i | \(-0.457481\pi\) |
−0.567721 | + | 0.823221i | \(0.692175\pi\) | |||||||
\(152\) | 260.575 | − | 188.045i | 1.71431 | − | 1.23714i | ||||
\(153\) | −2.85185 | + | 5.25915i | −0.0186395 | + | 0.0343735i | ||||
\(154\) | −193.189 | + | 64.1432i | −1.25447 | + | 0.416514i | ||||
\(155\) | 223.188 | + | 135.298i | 1.43992 | + | 0.872890i | ||||
\(156\) | 157.240 | + | 30.6226i | 1.00795 | + | 0.196299i | ||||
\(157\) | 283.862 | − | 27.3838i | 1.80804 | − | 0.174419i | 0.863833 | − | 0.503779i | \(-0.168057\pi\) |
0.944205 | + | 0.329359i | \(0.106833\pi\) | |||||||
\(158\) | −9.47732 | + | 58.6206i | −0.0599830 | + | 0.371016i | ||||
\(159\) | −56.2059 | − | 72.8452i | −0.353496 | − | 0.458146i | ||||
\(160\) | 5.90631 | + | 91.9955i | 0.0369144 | + | 0.574972i | ||||
\(161\) | −31.4626 | − | 65.3327i | −0.195420 | − | 0.405793i | ||||
\(162\) | 31.1820 | − | 43.2090i | 0.192482 | − | 0.266722i | ||||
\(163\) | 109.475 | + | 168.183i | 0.671625 | + | 1.03180i | 0.996298 | + | 0.0859699i | \(0.0273989\pi\) |
−0.324673 | + | 0.945826i | \(0.605254\pi\) | |||||||
\(164\) | −140.364 | + | 614.974i | −0.855876 | + | 3.74984i | ||||
\(165\) | −5.40722 | + | 67.3254i | −0.0327710 | + | 0.408033i | ||||
\(166\) | 355.180 | + | 292.681i | 2.13964 | + | 1.76314i | ||||
\(167\) | −276.198 | + | 106.700i | −1.65388 | + | 0.638924i | −0.993689 | − | 0.112172i | \(-0.964219\pi\) |
−0.660193 | + | 0.751096i | \(0.729525\pi\) | |||||||
\(168\) | 150.625 | − | 231.401i | 0.896579 | − | 1.37739i | ||||
\(169\) | −60.7975 | − | 62.7784i | −0.359749 | − | 0.371470i | ||||
\(170\) | 13.7504 | + | 15.6372i | 0.0808848 | + | 0.0919832i | ||||
\(171\) | 37.7487 | − | 85.2750i | 0.220753 | − | 0.498684i | ||||
\(172\) | −85.9286 | − | 289.522i | −0.499585 | − | 1.68327i | ||||
\(173\) | 1.05314 | + | 5.40763i | 0.00608749 | + | 0.0312580i | 0.984478 | − | 0.175505i | \(-0.0561559\pi\) |
−0.978391 | + | 0.206763i | \(0.933707\pi\) | |||||||
\(174\) | −24.1228 | − | 8.87741i | −0.138637 | − | 0.0510196i | ||||
\(175\) | −11.4324 | + | 21.9137i | −0.0653278 | + | 0.125221i | ||||
\(176\) | −146.045 | − | 85.3626i | −0.829800 | − | 0.485015i | ||||
\(177\) | −7.48015 | + | 0.842810i | −0.0422607 | + | 0.00476164i | ||||
\(178\) | 13.4520 | + | 16.8683i | 0.0755730 | + | 0.0947655i | ||||
\(179\) | 35.9522 | + | 71.6929i | 0.200850 | + | 0.400519i | 0.971603 | − | 0.236615i | \(-0.0760381\pi\) |
−0.770753 | + | 0.637134i | \(0.780120\pi\) | |||||||
\(180\) | 108.367 | + | 160.784i | 0.602037 | + | 0.893243i | ||||
\(181\) | 3.96916 | − | 61.8229i | 0.0219291 | − | 0.341563i | −0.972259 | − | 0.233906i | \(-0.924849\pi\) |
0.994188 | − | 0.107656i | \(-0.0343346\pi\) | |||||||
\(182\) | 242.763 | − | 98.2839i | 1.33386 | − | 0.540021i | ||||
\(183\) | 104.748 | + | 104.748i | 0.572395 | + | 0.572395i | ||||
\(184\) | 57.2254 | − | 135.082i | 0.311008 | − | 0.734142i | ||||
\(185\) | 25.1904 | + | 119.137i | 0.136164 | + | 0.643986i | ||||
\(186\) | 182.138 | − | 363.204i | 0.979236 | − | 1.95271i | ||||
\(187\) | −8.70146 | + | 1.12193i | −0.0465319 | + | 0.00599962i | ||||
\(188\) | −227.169 | − | 435.440i | −1.20835 | − | 2.31617i | ||||
\(189\) | 11.0917 | − | 230.487i | 0.0586861 | − | 1.21951i | ||||
\(190\) | −233.166 | − | 225.809i | −1.22719 | − | 1.18847i | ||||
\(191\) | −43.7768 | − | 191.799i | −0.229198 | − | 1.00418i | −0.950296 | − | 0.311348i | \(-0.899219\pi\) |
0.721098 | − | 0.692833i | \(-0.243638\pi\) | |||||||
\(192\) | −53.7147 | + | 7.80292i | −0.279764 | + | 0.0406402i | ||||
\(193\) | −5.36368 | + | 167.259i | −0.0277911 | + | 0.866629i | 0.886777 | + | 0.462197i | \(0.152939\pi\) |
−0.914568 | + | 0.404432i | \(0.867469\pi\) | |||||||
\(194\) | 83.1918 | + | 339.322i | 0.428824 | + | 1.74908i | ||||
\(195\) | 1.39284 | − | 86.8902i | 0.00714277 | − | 0.445591i | ||||
\(196\) | − | 151.174i | − | 0.771296i | ||||||
\(197\) | 194.879 | + | 28.8329i | 0.989231 | + | 0.146360i | ||||
\(198\) | −119.515 | −0.603613 | ||||||||
\(199\) | 207.979 | + | 3.33389i | 1.04512 | + | 0.0167532i | 0.536225 | − | 0.844075i | \(-0.319850\pi\) |
0.508896 | + | 0.860828i | \(0.330054\pi\) | |||||||
\(200\) | −48.5661 | + | 11.9070i | −0.242830 | + | 0.0595348i | ||||
\(201\) | 46.9260 | + | 1.50483i | 0.233463 | + | 0.00748670i | ||||
\(202\) | −75.5226 | − | 519.892i | −0.373874 | − | 2.57372i | ||||
\(203\) | −28.0056 | + | 6.39210i | −0.137959 | + | 0.0314882i | ||||
\(204\) | 15.4153 | − | 15.9176i | 0.0755654 | − | 0.0780275i | ||||
\(205\) | 341.791 | + | 16.4479i | 1.66727 | + | 0.0802336i | ||||
\(206\) | 358.224 | − | 186.885i | 1.73895 | − | 0.907209i | ||||
\(207\) | −5.44436 | − | 42.2254i | −0.0263012 | − | 0.203987i | ||||
\(208\) | 194.555 | + | 97.5648i | 0.935362 | + | 0.469061i | ||||
\(209\) | 133.802 | − | 28.2912i | 0.640203 | − | 0.135364i | ||||
\(210\) | −256.801 | − | 108.790i | −1.22286 | − | 0.518046i | ||||
\(211\) | −273.468 | + | 273.468i | −1.29606 | + | 1.29606i | −0.365083 | + | 0.930975i | \(0.618960\pi\) |
−0.930975 | + | 0.365083i | \(0.881040\pi\) | |||||||
\(212\) | −145.357 | − | 359.035i | −0.685648 | − | 1.69356i | ||||
\(213\) | −55.8719 | − | 3.58710i | −0.262309 | − | 0.0168408i | ||||
\(214\) | −264.138 | + | 178.026i | −1.23429 | + | 0.831898i | ||||
\(215\) | −146.447 | + | 73.4396i | −0.681148 | + | 0.341579i | ||||
\(216\) | 364.992 | − | 291.071i | 1.68978 | − | 1.34755i | ||||
\(217\) | −50.8402 | − | 451.219i | −0.234286 | − | 2.07935i | ||||
\(218\) | −288.072 | + | 492.855i | −1.32143 | + | 2.26080i | ||||
\(219\) | 184.284 | + | 96.1408i | 0.841479 | + | 0.438999i | ||||
\(220\) | −98.2027 | + | 266.848i | −0.446376 | + | 1.21295i | ||||
\(221\) | 11.0800 | − | 2.15783i | 0.0501358 | − | 0.00976395i | ||||
\(222\) | 181.737 | − | 53.9386i | 0.818635 | − | 0.242967i | ||||
\(223\) | −138.253 | − | 61.2007i | −0.619971 | − | 0.274443i | 0.0708293 | − | 0.997488i | \(-0.477435\pi\) |
−0.690800 | + | 0.723046i | \(0.742742\pi\) | |||||||
\(224\) | 120.440 | − | 105.908i | 0.537678 | − | 0.472803i | ||||
\(225\) | −10.4245 | + | 10.0956i | −0.0463313 | + | 0.0448693i | ||||
\(226\) | 267.449 | + | 174.090i | 1.18340 | + | 0.770311i | ||||
\(227\) | 145.569 | + | 376.811i | 0.641273 | + | 1.65996i | 0.746397 | + | 0.665501i | \(0.231782\pi\) |
−0.105124 | + | 0.994459i | \(0.533524\pi\) | |||||||
\(228\) | −219.658 | + | 266.563i | −0.963413 | + | 1.16914i | ||||
\(229\) | 234.485 | + | 18.8326i | 1.02395 | + | 0.0822384i | 0.580666 | − | 0.814142i | \(-0.302792\pi\) |
0.443286 | + | 0.896380i | \(0.353813\pi\) | |||||||
\(230\) | −144.470 | − | 32.9743i | −0.628129 | − | 0.143366i | ||||
\(231\) | 98.4825 | − | 64.1050i | 0.426331 | − | 0.277511i | ||||
\(232\) | −47.1258 | − | 34.0086i | −0.203128 | − | 0.146589i | ||||
\(233\) | −214.489 | + | 103.292i | −0.920552 | + | 0.443315i | −0.833268 | − | 0.552869i | \(-0.813533\pi\) |
−0.0872839 | + | 0.996183i | \(0.527819\pi\) | |||||||
\(234\) | 153.455 | − | 9.85215i | 0.655792 | − | 0.0421032i | ||||
\(235\) | −210.938 | + | 162.755i | −0.897607 | + | 0.692575i | ||||
\(236\) | −31.2836 | − | 5.05769i | −0.132558 | − | 0.0214309i | ||||
\(237\) | −3.29160 | − | 34.1209i | −0.0138886 | − | 0.143970i | ||||
\(238\) | 6.92516 | − | 35.5593i | 0.0290973 | − | 0.149409i | ||||
\(239\) | −200.803 | + | 331.246i | −0.840180 | + | 1.38597i | 0.0809529 | + | 0.996718i | \(0.474204\pi\) |
−0.921133 | + | 0.389247i | \(0.872735\pi\) | |||||||
\(240\) | −73.0317 | − | 219.960i | −0.304299 | − | 0.916499i | ||||
\(241\) | −307.988 | − | 167.011i | −1.27796 | − | 0.692992i | −0.311607 | − | 0.950211i | \(-0.600867\pi\) |
−0.966353 | + | 0.257219i | \(0.917194\pi\) | |||||||
\(242\) | 149.179 | + | 206.717i | 0.616441 | + | 0.854203i | ||||
\(243\) | 80.6919 | − | 208.874i | 0.332065 | − | 0.859565i | ||||
\(244\) | 306.030 | + | 543.386i | 1.25422 | + | 2.22699i | ||||
\(245\) | −80.7366 | + | 14.3843i | −0.329537 | + | 0.0587116i | ||||
\(246\) | −17.0742 | − | 532.438i | −0.0694075 | − | 2.16438i | ||||
\(247\) | −169.467 | + | 47.3552i | −0.686103 | + | 0.191721i | ||||
\(248\) | 617.604 | − | 680.051i | 2.49034 | − | 2.74214i | ||||
\(249\) | −241.185 | − | 111.422i | −0.968615 | − | 0.447479i | ||||
\(250\) | 189.079 | + | 427.134i | 0.756318 | + | 1.70854i | ||||
\(251\) | −356.542 | + | 303.529i | −1.42049 | + | 1.20928i | −0.476554 | + | 0.879145i | \(0.658114\pi\) |
−0.943934 | + | 0.330134i | \(0.892906\pi\) | |||||||
\(252\) | 106.296 | − | 320.147i | 0.421810 | − | 1.27043i | ||||
\(253\) | 45.5413 | − | 42.7112i | 0.180005 | − | 0.168819i | ||||
\(254\) | −522.272 | + | 676.887i | −2.05619 | + | 2.66491i | ||||
\(255\) | −9.96779 | − | 6.71820i | −0.0390894 | − | 0.0263459i | ||||
\(256\) | −504.034 | − | 64.9880i | −1.96888 | − | 0.253859i | ||||
\(257\) | 11.7867 | + | 32.0284i | 0.0458628 | + | 0.124624i | 0.959329 | − | 0.282291i | \(-0.0910944\pi\) |
−0.913466 | + | 0.406915i | \(0.866605\pi\) | |||||||
\(258\) | 132.215 | + | 218.102i | 0.512461 | + | 0.845357i | ||||
\(259\) | 137.331 | − | 161.317i | 0.530235 | − | 0.622844i | ||||
\(260\) | 104.093 | − | 350.723i | 0.400357 | − | 1.34893i | ||||
\(261\) | −16.7878 | − | 1.61950i | −0.0643212 | − | 0.00620498i | ||||
\(262\) | −29.0295 | + | 110.702i | −0.110800 | + | 0.422527i | ||||
\(263\) | 85.8031 | + | 21.0364i | 0.326248 | + | 0.0799862i | 0.397860 | − | 0.917446i | \(-0.369753\pi\) |
−0.0716120 | + | 0.997433i | \(0.522814\pi\) | |||||||
\(264\) | 228.962 | + | 63.9801i | 0.867280 | + | 0.242349i | ||||
\(265\) | −177.917 | + | 111.793i | −0.671384 | + | 0.421859i | ||||
\(266\) | −63.2274 | + | 561.158i | −0.237697 | + | 2.10962i | ||||
\(267\) | −9.98143 | − | 7.44933i | −0.0373836 | − | 0.0279001i | ||||
\(268\) | 188.559 | + | 59.2680i | 0.703580 | + | 0.221149i | ||||
\(269\) | −80.6641 | + | 37.2651i | −0.299866 | + | 0.138532i | −0.563561 | − | 0.826074i | \(-0.690569\pi\) |
0.263695 | + | 0.964606i | \(0.415059\pi\) | |||||||
\(270\) | −354.119 | − | 311.392i | −1.31155 | − | 1.15330i | ||||
\(271\) | 206.109 | − | 9.91850i | 0.760549 | − | 0.0365996i | 0.335827 | − | 0.941924i | \(-0.390984\pi\) |
0.424722 | + | 0.905324i | \(0.360372\pi\) | |||||||
\(272\) | 25.9915 | − | 15.1919i | 0.0955570 | − | 0.0558527i | ||||
\(273\) | −121.165 | + | 90.4279i | −0.443828 | + | 0.331238i | ||||
\(274\) | 301.062 | − | 105.346i | 1.09877 | − | 0.384475i | ||||
\(275\) | −20.9516 | − | 3.73281i | −0.0761876 | − | 0.0135739i | ||||
\(276\) | −22.6691 | + | 156.052i | −0.0821342 | + | 0.565406i | ||||
\(277\) | −29.1543 | − | 363.001i | −0.105250 | − | 1.31047i | −0.803795 | − | 0.594907i | \(-0.797189\pi\) |
0.698545 | − | 0.715567i | \(-0.253831\pi\) | |||||||
\(278\) | −76.1519 | + | 109.169i | −0.273928 | + | 0.392696i | ||||
\(279\) | 55.1505 | − | 260.833i | 0.197672 | − | 0.934885i | ||||
\(280\) | −492.989 | − | 393.145i | −1.76067 | − | 1.40409i | ||||
\(281\) | 35.8850 | − | 57.1107i | 0.127705 | − | 0.203241i | −0.776752 | − | 0.629807i | \(-0.783134\pi\) |
0.904456 | + | 0.426566i | \(0.140277\pi\) | |||||||
\(282\) | 278.852 | + | 307.047i | 0.988836 | + | 1.08882i | ||||
\(283\) | −9.76941 | − | 31.0811i | −0.0345209 | − | 0.109827i | 0.935142 | − | 0.354273i | \(-0.115272\pi\) |
−0.969663 | + | 0.244446i | \(0.921394\pi\) | |||||||
\(284\) | −222.472 | − | 77.8462i | −0.783351 | − | 0.274106i | ||||
\(285\) | 163.262 | + | 91.9477i | 0.572850 | + | 0.322623i | ||||
\(286\) | 143.408 | + | 174.031i | 0.501426 | + | 0.608499i | ||||
\(287\) | −340.598 | − | 488.272i | −1.18675 | − | 1.70130i | ||||
\(288\) | 86.7051 | − | 36.7313i | 0.301059 | − | 0.127539i | ||||
\(289\) | −107.866 | + | 266.432i | −0.373240 | + | 0.921909i | ||||
\(290\) | −25.4701 | + | 52.8891i | −0.0878278 | + | 0.182376i | ||||
\(291\) | −96.1395 | − | 177.293i | −0.330376 | − | 0.609253i | ||||
\(292\) | 638.263 | + | 598.599i | 2.18583 | + | 2.05000i | ||||
\(293\) | 326.047 | − | 52.7127i | 1.11279 | − | 0.179907i | 0.424558 | − | 0.905401i | \(-0.360429\pi\) |
0.688229 | + | 0.725494i | \(0.258389\pi\) | |||||||
\(294\) | 32.3838 | + | 123.494i | 0.110149 | + | 0.420046i | ||||
\(295\) | 0.275533 | + | 17.1887i | 0.000934009 | + | 0.0582667i | ||||
\(296\) | 428.553 | − | 6.86966i | 1.44781 | − | 0.0232083i | ||||
\(297\) | 192.186 | − | 50.3972i | 0.647092 | − | 0.169688i | ||||
\(298\) | −11.5562 | − | 71.4791i | −0.0387792 | − | 0.239863i | ||||
\(299\) | −54.9532 | + | 58.5944i | −0.183790 | + | 0.195968i | ||||
\(300\) | 47.2494 | − | 25.6217i | 0.157498 | − | 0.0854055i | ||||
\(301\) | 256.801 | + | 123.669i | 0.853158 | + | 0.410859i | ||||
\(302\) | 231.810 | + | 93.8493i | 0.767581 | + | 0.310759i | ||||
\(303\) | 118.297 | + | 279.244i | 0.390421 | + | 0.921598i | ||||
\(304\) | −384.895 | + | 268.486i | −1.26610 | + | 0.883178i | ||||
\(305\) | 261.084 | − | 215.143i | 0.856013 | − | 0.705386i | ||||
\(306\) | 10.4376 | − | 18.5330i | 0.0341098 | − | 0.0605654i | ||||
\(307\) | −138.565 | + | 395.996i | −0.451351 | + | 1.28989i | 0.463500 | + | 0.886097i | \(0.346593\pi\) |
−0.914851 | + | 0.403791i | \(0.867692\pi\) | |||||||
\(308\) | 471.933 | − | 148.338i | 1.53225 | − | 0.481617i | ||||
\(309\) | −172.664 | + | 156.808i | −0.558782 | + | 0.507471i | ||||
\(310\) | −785.692 | − | 493.683i | −2.53449 | − | 1.59252i | ||||
\(311\) | 55.8523 | − | 70.0365i | 0.179589 | − | 0.225198i | −0.683886 | − | 0.729589i | \(-0.739712\pi\) |
0.863475 | + | 0.504391i | \(0.168283\pi\) | |||||||
\(312\) | −299.257 | − | 63.2748i | −0.959156 | − | 0.202804i | ||||
\(313\) | −55.6324 | − | 38.8067i | −0.177739 | − | 0.123983i | 0.479879 | − | 0.877335i | \(-0.340681\pi\) |
−0.657618 | + | 0.753352i | \(0.728436\pi\) | |||||||
\(314\) | −1010.65 | + | 81.1699i | −3.21863 | + | 0.258503i | ||||
\(315\) | −181.093 | − | 26.3066i | −0.574899 | − | 0.0835132i | ||||
\(316\) | 25.3125 | − | 142.074i | 0.0801029 | − | 0.449602i | ||||
\(317\) | −43.6137 | − | 124.641i | −0.137583 | − | 0.393189i | 0.854391 | − | 0.519630i | \(-0.173930\pi\) |
−0.991974 | + | 0.126441i | \(0.959645\pi\) | |||||||
\(318\) | 195.653 | + | 262.157i | 0.615260 | + | 0.824393i | ||||
\(319\) | −12.4811 | − | 21.3535i | −0.0391256 | − | 0.0669390i | ||||
\(320\) | 5.95832 | + | 123.815i | 0.0186198 | + | 0.386923i | ||||
\(321\) | 121.424 | − | 138.085i | 0.378268 | − | 0.430171i | ||||
\(322\) | 108.122 | + | 234.041i | 0.335783 | + | 0.726836i | ||||
\(323\) | −7.29827 | + | 23.2192i | −0.0225953 | + | 0.0718861i | ||||
\(324\) | −77.4530 | + | 103.780i | −0.239053 | + | 0.320309i | ||||
\(325\) | 27.2091 | + | 3.06573i | 0.0837203 | + | 0.00943301i | ||||
\(326\) | −379.584 | − | 604.104i | −1.16437 | − | 1.85308i | ||||
\(327\) | 88.6892 | − | 317.387i | 0.271221 | − | 0.970602i | ||||
\(328\) | 286.794 | − | 1169.77i | 0.874371 | − | 3.56638i | ||||
\(329\) | 448.367 | + | 117.576i | 1.36282 | + | 0.357373i | ||||
\(330\) | 23.0584 | − | 239.024i | 0.0698738 | − | 0.724315i | ||||
\(331\) | 53.1701 | + | 15.7806i | 0.160635 | + | 0.0476756i | 0.363845 | − | 0.931460i | \(-0.381464\pi\) |
−0.203210 | + | 0.979135i | \(0.565137\pi\) | |||||||
\(332\) | −851.659 | − | 725.028i | −2.56524 | − | 2.18382i | ||||
\(333\) | 106.368 | − | 64.4810i | 0.319424 | − | 0.193637i | ||||
\(334\) | 987.925 | − | 363.566i | 2.95786 | − | 1.08852i | ||||
\(335\) | 13.7113 | − | 106.342i | 0.0409292 | − | 0.317439i | ||||
\(336\) | −225.361 | + | 334.368i | −0.670716 | + | 0.995142i | ||||
\(337\) | 303.464 | + | 234.147i | 0.900486 | + | 0.694797i | 0.952724 | − | 0.303838i | \(-0.0982681\pi\) |
−0.0522381 | + | 0.998635i | \(0.516635\pi\) | |||||||
\(338\) | 212.549 | + | 226.633i | 0.628843 | + | 0.670511i | ||||
\(339\) | −174.833 | − | 58.0484i | −0.515730 | − | 0.171234i | ||||
\(340\) | −32.8034 | − | 38.5327i | −0.0964805 | − | 0.113331i | ||||
\(341\) | 357.506 | − | 158.257i | 1.04840 | − | 0.464097i | ||||
\(342\) | −139.051 | + | 300.989i | −0.406581 | + | 0.880086i | ||||
\(343\) | −190.175 | − | 172.712i | −0.554446 | − | 0.503533i | ||||
\(344\) | 155.189 | + | 555.367i | 0.451131 | + | 1.61444i | ||||
\(345\) | 85.4987 | − | 2.74178i | 0.247822 | − | 0.00794718i | ||||
\(346\) | −3.43560 | − | 19.2834i | −0.00992948 | − | 0.0557323i | ||||
\(347\) | −191.611 | + | 107.914i | −0.552194 | + | 0.310990i | −0.741527 | − | 0.670923i | \(-0.765898\pi\) |
0.189333 | + | 0.981913i | \(0.439368\pi\) | |||||||
\(348\) | 58.2708 | + | 22.5111i | 0.167445 | + | 0.0646870i | ||||
\(349\) | −22.5104 | + | 16.2448i | −0.0644998 | + | 0.0465467i | −0.616976 | − | 0.786982i | \(-0.711642\pi\) |
0.552476 | + | 0.833529i | \(0.313683\pi\) | |||||||
\(350\) | 41.8891 | − | 77.2486i | 0.119683 | − | 0.220710i | ||||
\(351\) | −242.609 | + | 80.5517i | −0.691194 | + | 0.229492i | ||||
\(352\) | 118.088 | + | 71.5859i | 0.335478 | + | 0.203369i | ||||
\(353\) | 614.059 | + | 119.588i | 1.73954 | + | 0.338776i | 0.958368 | − | 0.285536i | \(-0.0921717\pi\) |
0.781175 | + | 0.624312i | \(0.214621\pi\) | |||||||
\(354\) | 26.6389 | − | 2.56982i | 0.0752511 | − | 0.00725938i | ||||
\(355\) | −20.4065 | + | 126.221i | −0.0574830 | + | 0.355553i | ||||
\(356\) | −32.0303 | − | 41.5126i | −0.0899727 | − | 0.116608i | ||||
\(357\) | 1.33990 | + | 20.8700i | 0.00375321 | + | 0.0584593i | ||||
\(358\) | −123.720 | − | 256.907i | −0.345586 | − | 0.717616i | ||||
\(359\) | −89.7283 | + | 124.337i | −0.249939 | + | 0.346342i | −0.917160 | − | 0.398518i | \(-0.869525\pi\) |
0.667221 | + | 0.744860i | \(0.267484\pi\) | |||||||
\(360\) | −201.966 | − | 310.275i | −0.561018 | − | 0.861874i | ||||
\(361\) | 4.09394 | − | 17.9367i | 0.0113405 | − | 0.0496862i | ||||
\(362\) | −17.6327 | + | 219.545i | −0.0487091 | + | 0.606478i | ||||
\(363\) | −113.569 | − | 93.5850i | −0.312862 | − | 0.257810i | ||||
\(364\) | −593.724 | + | 229.366i | −1.63111 | + | 0.630128i | ||||
\(365\) | 258.959 | − | 397.830i | 0.709476 | − | 1.08995i | ||||
\(366\) | −366.396 | − | 378.334i | −1.00108 | − | 1.03370i | ||||
\(367\) | 443.483 | + | 504.335i | 1.20840 | + | 1.37421i | 0.907228 | + | 0.420640i | \(0.138194\pi\) |
0.301173 | + | 0.953570i | \(0.402622\pi\) | |||||||
\(368\) | −86.7229 | + | 195.909i | −0.235660 | + | 0.532360i | ||||
\(369\) | −99.4521 | − | 335.087i | −0.269518 | − | 0.908096i | ||||
\(370\) | −82.7594 | − | 424.952i | −0.223674 | − | 1.14852i | ||||
\(371\) | 343.075 | + | 126.255i | 0.924730 | + | 0.340309i | ||||
\(372\) | −456.728 | + | 875.463i | −1.22776 | + | 2.35339i | ||||
\(373\) | 319.294 | + | 186.626i | 0.856017 | + | 0.500339i | 0.866251 | − | 0.499609i | \(-0.166523\pi\) |
−0.0102338 | + | 0.999948i | \(0.503258\pi\) | |||||||
\(374\) | 30.9964 | − | 3.49245i | 0.0828780 | − | 0.00933811i | ||||
\(375\) | −168.124 | − | 210.821i | −0.448331 | − | 0.562189i | ||||
\(376\) | 420.371 | + | 838.268i | 1.11801 | + | 2.22944i | ||||
\(377\) | 17.7857 | + | 26.3886i | 0.0471769 | + | 0.0699964i | ||||
\(378\) | −52.5634 | + | 818.718i | −0.139057 | + | 2.16592i | ||||
\(379\) | −463.685 | + | 187.725i | −1.22344 | + | 0.495317i | −0.893662 | − | 0.448741i | \(-0.851873\pi\) |
−0.329780 | + | 0.944058i | \(0.606975\pi\) | |||||||
\(380\) | 557.781 | + | 557.781i | 1.46785 | + | 1.46785i | ||||
\(381\) | 192.517 | − | 454.442i | 0.505294 | − | 1.19276i | ||||
\(382\) | 144.691 | + | 684.311i | 0.378772 | + | 1.79139i | ||||
\(383\) | 79.0549 | − | 157.645i | 0.206410 | − | 0.411604i | −0.766681 | − | 0.642029i | \(-0.778093\pi\) |
0.973090 | + | 0.230424i | \(0.0740114\pi\) | |||||||
\(384\) | 351.530 | − | 45.3247i | 0.915442 | − | 0.118033i | ||||
\(385\) | −124.127 | − | 237.928i | −0.322407 | − | 0.617994i | ||||
\(386\) | 28.5982 | − | 594.277i | 0.0740887 | − | 1.53958i | ||||
\(387\) | 120.214 | + | 116.421i | 0.310630 | + | 0.300829i | ||||
\(388\) | −188.933 | − | 827.768i | −0.486940 | − | 2.13342i | ||||
\(389\) | −88.4244 | + | 12.8450i | −0.227312 | + | 0.0330207i | −0.256462 | − | 0.966554i | \(-0.582557\pi\) |
0.0291497 | + | 0.999575i | \(0.490720\pi\) | |||||||
\(390\) | −9.90270 | + | 308.803i | −0.0253915 | + | 0.791802i | ||||
\(391\) | 2.64590 | + | 10.7921i | 0.00676700 | + | 0.0276012i | ||||
\(392\) | −4.62643 | + | 288.612i | −0.0118021 | + | 0.736255i | ||||
\(393\) | − | 66.0657i | − | 0.168106i | ||||||
\(394\) | −691.122 | − | 113.602i | −1.75412 | − | 0.288329i | ||||
\(395\) | −78.2852 | −0.198190 | ||||||||
\(396\) | 290.413 | + | 4.65530i | 0.733367 | + | 0.0117558i | ||||
\(397\) | −493.197 | + | 120.917i | −1.24231 | + | 0.304578i | −0.804208 | − | 0.594348i | \(-0.797410\pi\) |
−0.438102 | + | 0.898925i | \(0.644349\pi\) | |||||||
\(398\) | −739.146 | − | 23.7030i | −1.85715 | − | 0.0595552i | ||||
\(399\) | −46.8633 | − | 322.603i | −0.117452 | − | 0.808530i | ||||
\(400\) | 71.1953 | − | 16.2499i | 0.177988 | − | 0.0406246i | ||||
\(401\) | −536.745 | + | 554.234i | −1.33852 | + | 1.38213i | −0.473158 | + | 0.880978i | \(0.656886\pi\) |
−0.865360 | + | 0.501151i | \(0.832910\pi\) | |||||||
\(402\) | −166.730 | − | 8.02348i | −0.414750 | − | 0.0199589i | ||||
\(403\) | −445.984 | + | 232.670i | −1.10666 | + | 0.577344i | ||||
\(404\) | 163.264 | + | 1266.24i | 0.404118 | + | 3.13426i | ||||
\(405\) | 62.7948 | + | 31.4901i | 0.155049 | + | 0.0777533i | ||||
\(406\) | 99.9203 | − | 21.1271i | 0.246109 | − | 0.0520373i | ||||
\(407\) | 167.962 | + | 71.1545i | 0.412683 | + | 0.174827i | ||||
\(408\) | −29.9171 | + | 29.9171i | −0.0733263 | + | 0.0733263i | ||||
\(409\) | −90.8714 | − | 224.454i | −0.222179 | − | 0.548787i | 0.774282 | − | 0.632841i | \(-0.218111\pi\) |
−0.996461 | + | 0.0840535i | \(0.973213\pi\) | |||||||
\(410\) | −1214.08 | − | 77.9465i | −2.96117 | − | 0.190113i | ||||
\(411\) | −152.684 | + | 102.908i | −0.371495 | + | 0.250384i | ||||
\(412\) | −877.736 | + | 440.163i | −2.13043 | + | 1.06836i | ||||
\(413\) | 23.3833 | − | 18.6475i | 0.0566181 | − | 0.0451514i | ||||
\(414\) | 16.9477 | + | 150.415i | 0.0409366 | + | 0.363322i | ||||
\(415\) | −306.175 | + | 523.827i | −0.737771 | + | 1.26223i | ||||
\(416\) | −157.524 | − | 82.1803i | −0.378664 | − | 0.197549i | ||||
\(417\) | 26.5371 | − | 72.1098i | 0.0636381 | − | 0.172925i | ||||
\(418\) | −477.260 | + | 92.9465i | −1.14177 | + | 0.222360i | ||||
\(419\) | 3.77909 | − | 1.12161i | 0.00901931 | − | 0.00267688i | −0.280015 | − | 0.959996i | \(-0.590339\pi\) |
0.289034 | + | 0.957319i | \(0.406666\pi\) | |||||||
\(420\) | 619.769 | + | 274.353i | 1.47564 | + | 0.653222i | ||||
\(421\) | 383.012 | − | 336.798i | 0.909767 | − | 0.799996i | −0.0705337 | − | 0.997509i | \(-0.522470\pi\) |
0.980300 | + | 0.197513i | \(0.0632865\pi\) | |||||||
\(422\) | 987.724 | − | 956.557i | 2.34058 | − | 2.26672i | ||||
\(423\) | 228.085 | + | 148.467i | 0.539208 | + | 0.350986i | ||||
\(424\) | 266.519 | + | 689.896i | 0.628584 | + | 1.62711i | ||||
\(425\) | 2.40860 | − | 2.92292i | 0.00566729 | − | 0.00687747i | ||||
\(426\) | 198.412 | + | 15.9354i | 0.465756 | + | 0.0374071i | ||||
\(427\) | −573.822 | − | 130.971i | −1.34385 | − | 0.306724i | ||||
\(428\) | 648.769 | − | 422.302i | 1.51581 | − | 0.986686i | ||||
\(429\) | −105.560 | − | 76.1783i | −0.246061 | − | 0.177572i | ||||
\(430\) | 524.783 | − | 252.722i | 1.22042 | − | 0.587726i | ||||
\(431\) | 129.967 | − | 8.34418i | 0.301548 | − | 0.0193601i | 0.0874395 | − | 0.996170i | \(-0.472132\pi\) |
0.214109 | + | 0.976810i | \(0.431315\pi\) | |||||||
\(432\) | −539.777 | + | 416.481i | −1.24948 | + | 0.964076i | ||||
\(433\) | −12.8183 | − | 2.07237i | −0.0296035 | − | 0.00478607i | 0.144780 | − | 0.989464i | \(-0.453752\pi\) |
−0.174384 | + | 0.984678i | \(0.555793\pi\) | |||||||
\(434\) | 155.017 | + | 1606.92i | 0.357183 | + | 3.70257i | ||||
\(435\) | 6.47782 | − | 33.2623i | 0.0148915 | − | 0.0764650i | ||||
\(436\) | 719.191 | − | 1186.38i | 1.64952 | − | 2.72106i | ||||
\(437\) | −54.5794 | − | 164.384i | −0.124896 | − | 0.376166i | ||||
\(438\) | −649.624 | − | 352.268i | −1.48316 | − | 0.804265i | ||||
\(439\) | 388.032 | + | 537.696i | 0.883899 | + | 1.22482i | 0.973464 | + | 0.228839i | \(0.0734930\pi\) |
−0.0895654 | + | 0.995981i | \(0.528548\pi\) | |||||||
\(440\) | 195.649 | − | 506.445i | 0.444657 | − | 1.15101i | ||||
\(441\) | 41.1069 | + | 72.9895i | 0.0932129 | + | 0.165509i | ||||
\(442\) | −39.5108 | + | 7.03940i | −0.0893910 | + | 0.0159262i | ||||
\(443\) | 4.18576 | + | 130.527i | 0.00944867 | + | 0.294644i | 0.993293 | + | 0.115621i | \(0.0368857\pi\) |
−0.983845 | + | 0.179024i | \(0.942706\pi\) | |||||||
\(444\) | −443.708 | + | 123.988i | −0.999342 | + | 0.279252i | ||||
\(445\) | −19.1226 | + | 21.0562i | −0.0429722 | + | 0.0473172i | ||||
\(446\) | 487.984 | + | 225.438i | 1.09413 | + | 0.505466i | ||||
\(447\) | 16.9193 | + | 38.2211i | 0.0378509 | + | 0.0855058i | ||||
\(448\) | 164.214 | − | 139.797i | 0.366549 | − | 0.312048i | ||||
\(449\) | −42.8777 | + | 129.141i | −0.0954959 | + | 0.287618i | −0.985845 | − | 0.167660i | \(-0.946379\pi\) |
0.890349 | + | 0.455279i | \(0.150460\pi\) | |||||||
\(450\) | 37.6330 | − | 35.2944i | 0.0836289 | − | 0.0784319i | ||||
\(451\) | 313.131 | − | 405.831i | 0.694304 | − | 0.899847i | ||||
\(452\) | −643.101 | − | 433.444i | −1.42279 | − | 0.958946i | ||||
\(453\) | −143.182 | − | 18.4613i | −0.316075 | − | 0.0407534i | ||||
\(454\) | −496.004 | − | 1347.80i | −1.09252 | − | 2.96873i | ||||
\(455\) | 178.990 | + | 295.262i | 0.393384 | + | 0.648928i | ||||
\(456\) | 427.515 | − | 502.184i | 0.937533 | − | 1.10128i | ||||
\(457\) | 16.1559 | − | 54.4345i | 0.0353520 | − | 0.119113i | −0.939140 | − | 0.343534i | \(-0.888376\pi\) |
0.974492 | + | 0.224422i | \(0.0720493\pi\) | |||||||
\(458\) | −832.487 | − | 80.3090i | −1.81766 | − | 0.175347i | ||||
\(459\) | −8.96916 | + | 34.2033i | −0.0195407 | + | 0.0745170i | ||||
\(460\) | 349.766 | + | 85.7523i | 0.760361 | + | 0.186418i | ||||
\(461\) | −204.497 | − | 57.1436i | −0.443594 | − | 0.123956i | 0.0400951 | − | 0.999196i | \(-0.487234\pi\) |
−0.483689 | + | 0.875240i | \(0.660703\pi\) | |||||||
\(462\) | −353.744 | + | 222.272i | −0.765680 | + | 0.481109i | ||||
\(463\) | 29.0625 | − | 257.936i | 0.0627699 | − | 0.557098i | −0.922488 | − | 0.386025i | \(-0.873848\pi\) |
0.985258 | − | 0.171073i | \(-0.0547235\pi\) | |||||||
\(464\) | 68.0174 | + | 50.7627i | 0.146589 | + | 0.109402i | ||||
\(465\) | 511.011 | + | 160.621i | 1.09895 | + | 0.345421i | ||||
\(466\) | 768.362 | − | 354.967i | 1.64885 | − | 0.761731i | ||||
\(467\) | −378.066 | − | 332.449i | −0.809563 | − | 0.711883i | 0.151426 | − | 0.988469i | \(-0.451613\pi\) |
−0.960989 | + | 0.276585i | \(0.910797\pi\) | |||||||
\(468\) | −373.268 | + | 17.9627i | −0.797582 | + | 0.0383818i | ||||
\(469\) | −161.051 | + | 94.1335i | −0.343392 | + | 0.200711i | ||||
\(470\) | 759.127 | − | 566.551i | 1.61516 | − | 1.20543i | ||||
\(471\) | 552.451 | − | 193.311i | 1.17293 | − | 0.410426i | ||||
\(472\) | 59.5699 | + | 10.6132i | 0.126207 | + | 0.0224856i | ||||
\(473\) | −35.2801 | + | 242.866i | −0.0745879 | + | 0.513458i | ||||
\(474\) | 9.75682 | + | 121.482i | 0.0205840 | + | 0.256292i | ||||
\(475\) | −33.7770 | + | 48.4219i | −0.0711094 | + | 0.101941i | ||||
\(476\) | −18.2127 | + | 86.1366i | −0.0382620 | + | 0.180959i | ||||
\(477\) | 167.809 | + | 133.823i | 0.351801 | + | 0.280552i | ||||
\(478\) | 732.702 | − | 1166.09i | 1.53285 | − | 2.43952i | ||||
\(479\) | −351.398 | − | 386.929i | −0.733608 | − | 0.807784i | 0.253585 | − | 0.967313i | \(-0.418390\pi\) |
−0.987193 | + | 0.159529i | \(0.949002\pi\) | |||||||
\(480\) | 56.7323 | + | 180.492i | 0.118192 | + | 0.376025i | ||||
\(481\) | −221.525 | − | 77.5151i | −0.460552 | − | 0.161154i | ||||
\(482\) | 1085.34 | + | 611.251i | 2.25174 | + | 1.26815i | ||||
\(483\) | −94.6442 | − | 114.854i | −0.195951 | − | 0.237794i | ||||
\(484\) | −354.441 | − | 508.118i | −0.732316 | − | 1.04983i | ||||
\(485\) | −424.104 | + | 179.665i | −0.874440 | + | 0.370443i | ||||
\(486\) | −298.751 | + | 737.920i | −0.614713 | + | 1.51835i | ||||
\(487\) | 340.825 | − | 707.731i | 0.699846 | − | 1.45325i | −0.182772 | − | 0.983155i | \(-0.558507\pi\) |
0.882618 | − | 0.470091i | \(-0.155779\pi\) | |||||||
\(488\) | −567.623 | − | 1046.76i | −1.16316 | − | 2.14501i | ||||
\(489\) | 300.413 | + | 281.744i | 0.614341 | + | 0.576164i | ||||
\(490\) | 287.827 | − | 46.5336i | 0.587401 | − | 0.0949665i | ||||
\(491\) | 97.0461 | + | 370.079i | 0.197650 | + | 0.753725i | 0.989686 | + | 0.143251i | \(0.0457556\pi\) |
−0.792036 | + | 0.610474i | \(0.790979\pi\) | |||||||
\(492\) | 20.7499 | + | 1294.45i | 0.0421746 | + | 2.63099i | ||||
\(493\) | 4.40126 | − | 0.0705517i | 0.00892750 | − | 0.000143107i | ||||
\(494\) | 605.130 | − | 158.684i | 1.22496 | − | 0.321222i | ||||
\(495\) | −25.1468 | − | 155.542i | −0.0508017 | − | 0.314226i | ||||
\(496\) | −917.749 | + | 978.560i | −1.85030 | + | 1.97290i | ||||
\(497\) | 195.548 | − | 106.039i | 0.393457 | − | 0.213358i | ||||
\(498\) | 851.029 | + | 409.834i | 1.70889 | + | 0.822960i | ||||
\(499\) | −83.1874 | − | 33.6789i | −0.166708 | − | 0.0674927i | 0.290392 | − | 0.956908i | \(-0.406214\pi\) |
−0.457101 | + | 0.889415i | \(0.651112\pi\) | |||||||
\(500\) | −442.811 | − | 1045.27i | −0.885623 | − | 2.09054i | ||||
\(501\) | −498.412 | + | 347.670i | −0.994834 | + | 0.693953i | ||||
\(502\) | 1284.75 | − | 1058.68i | 2.55927 | − | 2.10893i | ||||
\(503\) | 144.139 | − | 255.933i | 0.286558 | − | 0.508814i | −0.690072 | − | 0.723741i | \(-0.742421\pi\) |
0.976630 | + | 0.214928i | \(0.0689516\pi\) | |||||||
\(504\) | −212.732 | + | 607.952i | −0.422087 | + | 1.20625i | ||||
\(505\) | 660.718 | − | 207.677i | 1.30835 | − | 0.411242i | ||||
\(506\) | −164.327 | + | 149.237i | −0.324756 | + | 0.294935i | ||||
\(507\) | −151.870 | − | 95.4265i | −0.299547 | − | 0.188218i | ||||
\(508\) | 1295.45 | − | 1624.44i | 2.55009 | − | 3.19772i | ||||
\(509\) | −346.899 | − | 73.3483i | −0.681531 | − | 0.144103i | −0.146852 | − | 0.989158i | \(-0.546914\pi\) |
−0.534678 | + | 0.845056i | \(0.679567\pi\) | |||||||
\(510\) | 35.0512 | + | 24.4502i | 0.0687279 | + | 0.0479416i | ||||
\(511\) | −823.202 | + | 66.1152i | −1.61096 | + | 0.129384i | ||||
\(512\) | 1104.45 | + | 160.439i | 2.15713 | + | 0.313358i | ||||
\(513\) | 96.6789 | − | 542.640i | 0.188458 | − | 1.05778i | ||||
\(514\) | −40.0750 | − | 114.528i | −0.0779670 | − | 0.222817i | ||||
\(515\) | 318.593 | + | 426.885i | 0.618626 | + | 0.828903i | ||||
\(516\) | −312.777 | − | 535.122i | −0.606156 | − | 1.03706i | ||||
\(517\) | 19.1839 | + | 398.645i | 0.0371061 | + | 0.771073i | ||||
\(518\) | −497.384 | + | 565.632i | −0.960200 | + | 1.09195i | ||||
\(519\) | 4.74201 | + | 10.2646i | 0.00913683 | + | 0.0197776i | ||||
\(520\) | −209.461 | + | 666.393i | −0.402809 | + | 1.28152i | ||||
\(521\) | −66.8809 | + | 89.6143i | −0.128370 | + | 0.172004i | −0.860971 | − | 0.508654i | \(-0.830143\pi\) |
0.732601 | + | 0.680659i | \(0.238306\pi\) | |||||||
\(522\) | 59.5860 | + | 6.71373i | 0.114149 | + | 0.0128616i | ||||
\(523\) | 47.8666 | + | 76.1793i | 0.0915232 | + | 0.145658i | 0.889348 | − | 0.457231i | \(-0.151159\pi\) |
−0.797825 | + | 0.602890i | \(0.794016\pi\) | |||||||
\(524\) | 74.8516 | − | 267.867i | 0.142847 | − | 0.511197i | ||||
\(525\) | −12.0792 | + | 49.2685i | −0.0230080 | + | 0.0938448i | ||||
\(526\) | −303.819 | − | 79.6707i | −0.577603 | − | 0.151465i | ||||
\(527\) | −6.68131 | + | 69.2588i | −0.0126780 | + | 0.131421i | ||||
\(528\) | −332.834 | − | 98.7835i | −0.630368 | − | 0.187090i | ||||
\(529\) | 342.593 | + | 291.654i | 0.647624 | + | 0.551330i | ||||
\(530\) | 638.839 | − | 387.268i | 1.20536 | − | 0.730694i | ||||
\(531\) | 16.4795 | − | 6.06462i | 0.0310349 | − | 0.0114211i | ||||
\(532\) | 175.496 | − | 1361.11i | 0.329879 | − | 2.55848i | ||||
\(533\) | −368.599 | + | 546.891i | −0.691556 | + | 1.02606i | ||||
\(534\) | 35.0580 | + | 27.0501i | 0.0656518 | + | 0.0506556i | ||||
\(535\) | −287.267 | − | 306.301i | −0.536947 | − | 0.572526i | ||||
\(536\) | −358.172 | − | 118.921i | −0.668231 | − | 0.221868i | ||||
\(537\) | 106.702 | + | 125.338i | 0.198700 | + | 0.233404i | ||||
\(538\) | 288.873 | − | 127.875i | 0.536938 | − | 0.237687i | ||||
\(539\) | −51.5205 | + | 111.521i | −0.0955853 | + | 0.206904i | ||||
\(540\) | 848.353 | + | 770.452i | 1.57102 | + | 1.42676i | ||||
\(541\) | −105.628 | − | 378.005i | −0.195246 | − | 0.698716i | −0.995131 | − | 0.0985627i | \(-0.968576\pi\) |
0.799885 | − | 0.600154i | \(-0.204894\pi\) | |||||||
\(542\) | −733.252 | + | 23.5140i | −1.35286 | + | 0.0433837i | ||||
\(543\) | −22.3014 | − | 125.174i | −0.0410708 | − | 0.230523i | ||||
\(544\) | −21.4137 | + | 12.0600i | −0.0393634 | + | 0.0221690i | ||||
\(545\) | −702.034 | − | 271.208i | −1.28814 | − | 0.497630i | ||||
\(546\) | 435.877 | − | 314.554i | 0.798310 | − | 0.576105i | ||||
\(547\) | −261.992 | + | 483.145i | −0.478962 | + | 0.883263i | 0.520604 | + | 0.853798i | \(0.325707\pi\) |
−0.999566 | + | 0.0294648i | \(0.990620\pi\) | |||||||
\(548\) | −735.660 | + | 244.256i | −1.34245 | + | 0.445723i | ||||
\(549\) | −295.513 | − | 179.142i | −0.538275 | − | 0.326305i | ||||
\(550\) | 74.2671 | + | 14.4635i | 0.135031 | + | 0.0262973i | ||||
\(551\) | −68.2983 | + | 6.58865i | −0.123953 | + | 0.0119576i | ||||
\(552\) | 48.0541 | − | 297.231i | 0.0870544 | − | 0.538462i | ||||
\(553\) | 83.2011 | + | 107.832i | 0.150454 | + | 0.194995i | ||||
\(554\) | 82.9542 | + | 1292.08i | 0.149737 | + | 2.33227i | ||||
\(555\) | 108.436 | + | 225.171i | 0.195381 | + | 0.405713i | ||||
\(556\) | 189.296 | − | 262.307i | 0.340460 | − | 0.471776i | ||||
\(557\) | 63.1368 | + | 96.9951i | 0.113352 | + | 0.174138i | 0.890229 | − | 0.455514i | \(-0.150544\pi\) |
−0.776877 | + | 0.629652i | \(0.783197\pi\) | |||||||
\(558\) | −210.915 | + | 924.081i | −0.377985 | + | 1.65606i | ||||
\(559\) | 25.2785 | − | 314.743i | 0.0452208 | − | 0.563046i | ||||
\(560\) | 710.663 | + | 585.613i | 1.26904 | + | 1.04574i | ||||
\(561\) | −16.7967 | + | 6.48886i | −0.0299406 | + | 0.0115666i | ||||
\(562\) | −130.820 | + | 200.975i | −0.232777 | + | 0.357607i | ||||
\(563\) | 629.750 | + | 650.269i | 1.11856 | + | 1.15501i | 0.986499 | + | 0.163765i | \(0.0523639\pi\) |
0.132062 | + | 0.991241i | \(0.457840\pi\) | |||||||
\(564\) | −665.628 | − | 756.962i | −1.18019 | − | 1.34213i | ||||
\(565\) | −170.295 | + | 384.699i | −0.301407 | + | 0.680884i | ||||
\(566\) | 32.9577 | + | 111.046i | 0.0582292 | + | 0.196194i | ||||
\(567\) | −23.3627 | − | 119.963i | −0.0412041 | − | 0.211574i | ||||
\(568\) | 422.347 | + | 155.428i | 0.743568 | + | 0.273640i | ||||
\(569\) | 78.8972 | − | 151.231i | 0.138659 | − | 0.265784i | −0.807253 | − | 0.590205i | \(-0.799047\pi\) |
0.945913 | + | 0.324421i | \(0.105169\pi\) | |||||||
\(570\) | −575.135 | − | 336.164i | −1.00901 | − | 0.589762i | ||||
\(571\) | −473.799 | + | 53.3844i | −0.829771 | + | 0.0934928i | −0.516625 | − | 0.856212i | \(-0.672812\pi\) |
−0.313147 | + | 0.949705i | \(0.601383\pi\) | |||||||
\(572\) | −341.691 | − | 428.468i | −0.597363 | − | 0.749069i | ||||
\(573\) | −180.996 | − | 360.926i | −0.315874 | − | 0.629888i | ||||
\(574\) | 1182.95 | + | 1755.15i | 2.06089 | + | 3.05775i | ||||
\(575\) | −1.72690 | + | 26.8978i | −0.00300330 | + | 0.0467788i | ||||
\(576\) | 117.367 | − | 47.5165i | 0.203761 | − | 0.0824939i | ||||
\(577\) | −546.390 | − | 546.390i | −0.946949 | − | 0.946949i | 0.0517129 | − | 0.998662i | \(-0.483532\pi\) |
−0.998662 | + | 0.0517129i | \(0.983532\pi\) | |||||||
\(578\) | 398.631 | − | 940.980i | 0.689673 | − | 1.62799i | ||||
\(579\) | 71.0493 | + | 336.026i | 0.122710 | + | 0.580356i | ||||
\(580\) | 63.9504 | − | 127.524i | 0.110259 | − | 0.219870i | ||||
\(581\) | 1046.93 | − | 134.987i | 1.80195 | − | 0.232336i | ||||
\(582\) | 331.659 | + | 635.728i | 0.569861 | + | 1.09232i | ||||
\(583\) | −15.1297 | + | 314.399i | −0.0259515 | + | 0.539278i | ||||
\(584\) | −1200.21 | − | 1162.34i | −2.05516 | − | 1.99031i | ||||
\(585\) | 45.1100 | + | 197.640i | 0.0771111 | + | 0.337846i | ||||
\(586\) | −1162.05 | + | 168.807i | −1.98302 | + | 0.288066i | ||||
\(587\) | 15.9677 | − | 497.933i | 0.0272023 | − | 0.848267i | −0.891431 | − | 0.453156i | \(-0.850298\pi\) |
0.918633 | − | 0.395111i | \(-0.129294\pi\) | |||||||
\(588\) | −73.8800 | − | 301.341i | −0.125646 | − | 0.512485i | ||||
\(589\) | 17.3840 | − | 1084.47i | 0.0295145 | − | 1.84121i | ||||
\(590\) | − | 61.1189i | − | 0.103591i | ||||||
\(591\) | 402.550 | − | 37.7650i | 0.681134 | − | 0.0639002i | ||||
\(592\) | −625.937 | −1.05733 | ||||||||
\(593\) | 152.290 | + | 2.44119i | 0.256813 | + | 0.00411668i | 0.144302 | − | 0.989534i | \(-0.453906\pi\) |
0.112511 | + | 0.993650i | \(0.464111\pi\) | |||||||
\(594\) | −686.067 | + | 168.203i | −1.15500 | + | 0.283171i | ||||
\(595\) | 47.7353 | + | 1.53078i | 0.0802275 | + | 0.00257274i | ||||
\(596\) | 25.2965 | + | 174.139i | 0.0424437 | + | 0.292180i | ||||
\(597\) | 416.202 | − | 94.9955i | 0.697156 | − | 0.159121i | ||||
\(598\) | 198.690 | − | 205.163i | 0.332257 | − | 0.343082i | ||||
\(599\) | 826.378 | + | 39.7676i | 1.37960 | + | 0.0663899i | 0.724562 | − | 0.689209i | \(-0.242042\pi\) |
0.655034 | + | 0.755599i | \(0.272654\pi\) | |||||||
\(600\) | −90.9897 | + | 47.4693i | −0.151650 | + | 0.0791154i | ||||
\(601\) | 67.2742 | + | 521.765i | 0.111937 | + | 0.868162i | 0.947720 | + | 0.319102i | \(0.103381\pi\) |
−0.835783 | + | 0.549060i | \(0.814986\pi\) | |||||||
\(602\) | −905.842 | − | 454.258i | −1.50472 | − | 0.754581i | ||||
\(603\) | −107.156 | + | 22.6570i | −0.177704 | + | 0.0375738i | ||||
\(604\) | −559.624 | − | 237.076i | −0.926530 | − | 0.392510i | ||||
\(605\) | −237.642 | + | 237.642i | −0.392796 | + | 0.392796i | ||||
\(606\) | −404.618 | − | 999.414i | −0.667686 | − | 1.64920i | ||||
\(607\) | −56.0876 | − | 3.60094i | −0.0924013 | − | 0.00593236i | 0.0178009 | − | 0.999842i | \(-0.494334\pi\) |
−0.110202 | + | 0.993909i | \(0.535150\pi\) | |||||||
\(608\) | 317.674 | − | 214.109i | 0.522489 | − | 0.352153i | ||||
\(609\) | −52.7009 | + | 26.4282i | −0.0865368 | + | 0.0433961i | ||||
\(610\) | −940.375 | + | 749.924i | −1.54160 | + | 1.22938i | ||||
\(611\) | −57.4937 | − | 510.270i | −0.0940977 | − | 0.835140i | ||||
\(612\) | −26.0845 | + | 44.6273i | −0.0426217 | + | 0.0729204i | ||||
\(613\) | −1059.37 | − | 552.674i | −1.72818 | − | 0.901589i | −0.967655 | − | 0.252278i | \(-0.918820\pi\) |
−0.760523 | − | 0.649311i | \(-0.775057\pi\) | |||||||
\(614\) | 515.144 | − | 1399.81i | 0.838996 | − | 2.27982i | ||||
\(615\) | 689.343 | − | 134.250i | 1.12088 | − | 0.218292i | ||||
\(616\) | −905.525 | + | 268.755i | −1.47001 | + | 0.436291i | ||||
\(617\) | 1013.04 | + | 448.445i | 1.64189 | + | 0.726815i | 0.999226 | − | 0.0393354i | \(-0.0125241\pi\) |
0.642661 | + | 0.766150i | \(0.277830\pi\) | |||||||
\(618\) | 622.730 | − | 547.593i | 1.00765 | − | 0.886072i | ||||
\(619\) | 181.533 | − | 175.805i | 0.293268 | − | 0.284014i | −0.534401 | − | 0.845231i | \(-0.679463\pi\) |
0.827669 | + | 0.561217i | \(0.189667\pi\) | |||||||
\(620\) | 1889.94 | + | 1230.22i | 3.04829 | + | 1.98422i | ||||
\(621\) | −90.6799 | − | 234.729i | −0.146022 | − | 0.377985i | ||||
\(622\) | −202.538 | + | 245.787i | −0.325623 | + | 0.395156i | ||||
\(623\) | 49.3267 | + | 3.96166i | 0.0791761 | + | 0.00635901i | ||||
\(624\) | 435.496 | + | 99.3990i | 0.697910 | + | 0.159293i | ||||
\(625\) | −452.599 | + | 294.609i | −0.724158 | + | 0.471375i | ||||
\(626\) | 195.554 | + | 141.122i | 0.312386 | + | 0.225435i | ||||
\(627\) | 252.888 | − | 121.784i | 0.403330 | − | 0.194233i | ||||
\(628\) | 2458.96 | − | 157.871i | 3.91554 | − | 0.251386i | ||||
\(629\) | −25.7024 | + | 19.8314i | −0.0408623 | + | 0.0315285i | ||||
\(630\) | 642.261 | + | 103.836i | 1.01946 | + | 0.164819i | ||||
\(631\) | 83.4960 | + | 865.523i | 0.132323 | + | 1.37167i | 0.787556 | + | 0.616243i | \(0.211346\pi\) |
−0.655233 | + | 0.755427i | \(0.727430\pi\) | |||||||
\(632\) | −52.6730 | + | 270.465i | −0.0833434 | + | 0.427951i | ||||
\(633\) | −411.469 | + | 678.762i | −0.650030 | + | 1.07229i | ||||
\(634\) | 147.938 | + | 445.566i | 0.233341 | + | 0.702785i | ||||
\(635\) | −990.817 | − | 537.285i | −1.56034 | − | 0.846118i | ||||
\(636\) | −465.210 | − | 644.642i | −0.731462 | − | 1.01359i | ||||
\(637\) | 56.9580 | − | 147.438i | 0.0894161 | − | 0.231457i | ||||
\(638\) | 43.1516 | + | 76.6200i | 0.0676357 | + | 0.120094i | ||||
\(639\) | 128.581 | − | 22.9085i | 0.201222 | − | 0.0358505i | ||||
\(640\) | −25.9442 | − | 809.035i | −0.0405378 | − | 1.26412i | ||||
\(641\) | −992.585 | + | 277.363i | −1.54850 | + | 0.432704i | −0.934311 | − | 0.356459i | \(-0.883984\pi\) |
−0.614184 | + | 0.789163i | \(0.710515\pi\) | |||||||
\(642\) | −439.513 | + | 483.953i | −0.684600 | + | 0.753821i | ||||
\(643\) | 845.910 | + | 390.792i | 1.31557 | + | 0.607764i | 0.946820 | − | 0.321765i | \(-0.104276\pi\) |
0.368749 | + | 0.929529i | \(0.379786\pi\) | |||||||
\(644\) | −253.612 | − | 572.914i | −0.393807 | − | 0.889618i | ||||
\(645\) | −256.028 | + | 217.960i | −0.396943 | + | 0.337922i | ||||
\(646\) | 27.2674 | − | 82.1251i | 0.0422096 | − | 0.127129i | ||||
\(647\) | −505.200 | + | 473.805i | −0.780835 | + | 0.732311i | −0.968254 | − | 0.249969i | \(-0.919580\pi\) |
0.187419 | + | 0.982280i | \(0.439988\pi\) | |||||||
\(648\) | 151.044 | − | 195.760i | 0.233093 | − | 0.302099i | ||||
\(649\) | 21.3543 | + | 14.3926i | 0.0329034 | + | 0.0221766i | ||||
\(650\) | −96.5498 | − | 12.4487i | −0.148538 | − | 0.0191519i | ||||
\(651\) | −321.856 | − | 874.587i | −0.494403 | − | 1.34345i | ||||
\(652\) | 898.829 | + | 1482.71i | 1.37857 | + | 2.27410i | ||||
\(653\) | 576.720 | − | 677.448i | 0.883185 | − | 1.03744i | −0.115839 | − | 0.993268i | \(-0.536956\pi\) |
0.999024 | − | 0.0441714i | \(-0.0140648\pi\) | |||||||
\(654\) | −333.363 | + | 1123.21i | −0.509730 | + | 1.71745i | ||||
\(655\) | −150.180 | − | 14.4877i | −0.229283 | − | 0.0221186i | ||||
\(656\) | −446.160 | + | 1701.40i | −0.680121 | + | 2.59360i | ||||
\(657\) | −470.934 | − | 115.459i | −0.716795 | − | 0.175737i | ||||
\(658\) | −1587.18 | − | 443.514i | −2.41213 | − | 0.674033i | ||||
\(659\) | 335.968 | − | 211.103i | 0.509815 | − | 0.320338i | −0.252443 | − | 0.967612i | \(-0.581234\pi\) |
0.762257 | + | 0.647274i | \(0.224091\pi\) | |||||||
\(660\) | −65.3404 | + | 579.912i | −0.0990006 | + | 0.878655i | ||||
\(661\) | 886.670 | + | 661.739i | 1.34141 | + | 1.00112i | 0.998082 | + | 0.0619020i | \(0.0197166\pi\) |
0.343325 | + | 0.939217i | \(0.388447\pi\) | |||||||
\(662\) | −188.113 | − | 59.1277i | −0.284159 | − | 0.0893168i | ||||
\(663\) | 21.0317 | − | 9.71618i | 0.0317220 | − | 0.0146549i | ||||
\(664\) | 1603.75 | + | 1410.24i | 2.41528 | + | 2.12386i | ||||
\(665\) | −743.617 | + | 35.7849i | −1.11822 | + | 0.0538118i | ||||
\(666\) | −381.798 | + | 223.159i | −0.573270 | + | 0.335074i | ||||
\(667\) | −25.1045 | + | 18.7360i | −0.0376379 | + | 0.0280899i | ||||
\(668\) | −2414.75 | + | 844.956i | −3.61489 | + | 1.26490i | ||||
\(669\) | −305.496 | − | 54.4283i | −0.456645 | − | 0.0813577i | ||||
\(670\) | −54.8015 | + | 377.250i | −0.0817933 | + | 0.563059i | ||||
\(671\) | −40.5712 | − | 505.153i | −0.0604638 | − | 0.752836i | ||||
\(672\) | 188.320 | − | 269.970i | 0.280238 | − | 0.401742i | ||||
\(673\) | −227.575 | + | 1076.31i | −0.338151 | + | 1.59928i | 0.394649 | + | 0.918832i | \(0.370866\pi\) |
−0.732800 | + | 0.680444i | \(0.761787\pi\) | |||||||
\(674\) | −1065.43 | − | 849.650i | −1.58075 | − | 1.26061i | ||||
\(675\) | −45.6328 | + | 72.6242i | −0.0676041 | + | 0.107591i | ||||
\(676\) | −507.650 | − | 558.979i | −0.750962 | − | 0.826893i | ||||
\(677\) | 141.815 | + | 451.179i | 0.209475 | + | 0.666439i | 0.998634 | + | 0.0522499i | \(0.0166392\pi\) |
−0.789159 | + | 0.614189i | \(0.789483\pi\) | |||||||
\(678\) | 618.197 | + | 216.317i | 0.911795 | + | 0.319051i | ||||
\(679\) | 698.210 | + | 393.225i | 1.02829 | + | 0.579123i | ||||
\(680\) | 61.4469 | + | 74.5681i | 0.0903631 | + | 0.109659i | ||||
\(681\) | 474.319 | + | 679.972i | 0.696504 | + | 0.998490i | ||||
\(682\) | −1279.90 | + | 542.210i | −1.87669 | + | 0.795029i | ||||
\(683\) | −433.143 | + | 1069.87i | −0.634178 | + | 1.56643i | 0.178641 | + | 0.983914i | \(0.442830\pi\) |
−0.812819 | + | 0.582517i | \(0.802068\pi\) | |||||||
\(684\) | 349.606 | − | 725.965i | 0.511121 | − | 1.06135i | ||||
\(685\) | 200.447 | + | 369.648i | 0.292623 | + | 0.539632i | ||||
\(686\) | 666.203 | + | 624.803i | 0.971141 | + | 0.910791i | ||||
\(687\) | 476.612 | − | 77.0549i | 0.693758 | − | 0.112161i | ||||
\(688\) | −213.609 | − | 814.584i | −0.310478 | − | 1.18399i | ||||
\(689\) | −6.49098 | − | 404.929i | −0.00942087 | − | 0.587706i | ||||
\(690\) | −304.092 | + | 4.87457i | −0.440713 | + | 0.00706459i | ||||
\(691\) | 678.431 | − | 177.905i | 0.981810 | − | 0.257461i | 0.272343 | − | 0.962200i | \(-0.412201\pi\) |
0.709466 | + | 0.704739i | \(0.248936\pi\) | |||||||
\(692\) | 7.59713 | + | 46.9909i | 0.0109785 | + | 0.0679060i | ||||
\(693\) | −187.522 | + | 199.947i | −0.270594 | + | 0.288524i | ||||
\(694\) | 687.301 | − | 372.698i | 0.990347 | − | 0.537029i | ||||
\(695\) | −158.100 | − | 76.1371i | −0.227483 | − | 0.109550i | ||||
\(696\) | −110.558 | − | 44.7600i | −0.158848 | − | 0.0643103i | ||||
\(697\) | 35.5848 | + | 83.9989i | 0.0510543 | + | 0.120515i | ||||
\(698\) | 80.9471 | − | 56.4652i | 0.115970 | − | 0.0808957i | ||||
\(699\) | −377.069 | + | 310.719i | −0.539441 | + | 0.444519i | ||||
\(700\) | −104.796 | + | 186.077i | −0.149709 | + | 0.265824i | ||||
\(701\) | −277.700 | + | 793.620i | −0.396148 | + | 1.13213i | 0.557233 | + | 0.830356i | \(0.311863\pi\) |
−0.953381 | + | 0.301769i | \(0.902423\pi\) | |||||||
\(702\) | 867.030 | − | 272.525i | 1.23509 | − | 0.388212i | ||||
\(703\) | 374.613 | − | 340.214i | 0.532878 | − | 0.483945i | ||||
\(704\) | 157.227 | + | 98.7923i | 0.223334 | + | 0.140330i | ||||
\(705\) | −340.931 | + | 427.513i | −0.483589 | + | 0.606402i | ||||
\(706\) | −2176.08 | − | 460.109i | −3.08226 | − | 0.651713i | ||||
\(707\) | −988.268 | − | 689.373i | −1.39783 | − | 0.975068i | ||||
\(708\) | −64.8306 | + | 5.20685i | −0.0915686 | + | 0.00735430i | ||||
\(709\) | −485.208 | − | 70.4841i | −0.684355 | − | 0.0994134i | −0.207287 | − | 0.978280i | \(-0.566464\pi\) |
−0.477067 | + | 0.878867i | \(0.658300\pi\) | |||||||
\(710\) | 79.7346 | − | 447.535i | 0.112302 | − | 0.630331i | ||||
\(711\) | 26.4112 | + | 75.4789i | 0.0371466 | + | 0.106159i | ||||
\(712\) | 59.8798 | + | 80.2334i | 0.0841008 | + | 0.112687i | ||||
\(713\) | −249.869 | − | 427.495i | −0.350448 | − | 0.599573i | ||||
\(714\) | −3.57388 | − | 74.2661i | −0.00500544 | − | 0.104014i | ||||
\(715\) | −196.317 | + | 223.254i | −0.274569 | + | 0.312243i | ||||
\(716\) | 290.623 | + | 629.083i | 0.405898 | + | 0.878607i | ||||
\(717\) | −238.386 | + | 758.420i | −0.332478 | + | 1.05777i | ||||
\(718\) | 326.056 | − | 436.886i | 0.454117 | − | 0.608476i | ||||
\(719\) | 596.885 | + | 67.2528i | 0.830160 | + | 0.0935366i | 0.516809 | − | 0.856101i | \(-0.327120\pi\) |
0.313351 | + | 0.949637i | \(0.398548\pi\) | |||||||
\(720\) | 287.650 | + | 457.793i | 0.399514 | + | 0.635823i | ||||
\(721\) | 249.404 | − | 892.529i | 0.345914 | − | 1.23790i | ||||
\(722\) | −15.5755 | + | 63.5291i | −0.0215727 | + | 0.0879905i | ||||
\(723\) | −695.545 | − | 182.393i | −0.962027 | − | 0.252273i | ||||
\(724\) | 51.3977 | − | 532.791i | 0.0709914 | − | 0.735900i | ||||
\(725\) | 10.2360 | + | 3.03799i | 0.0141186 | + | 0.00419034i | ||||
\(726\) | 398.388 | + | 339.153i | 0.548744 | + | 0.467152i | ||||
\(727\) | −395.531 | + | 239.774i | −0.544060 | + | 0.329812i | −0.763494 | − | 0.645815i | \(-0.776518\pi\) |
0.219434 | + | 0.975627i | \(0.429579\pi\) | |||||||
\(728\) | 1140.52 | − | 419.722i | 1.56665 | − | 0.576541i | ||||
\(729\) | 76.0170 | − | 589.573i | 0.104276 | − | 0.808742i | ||||
\(730\) | −943.231 | + | 1399.47i | −1.29210 | + | 1.91709i | ||||
\(731\) | −34.5796 | − | 26.6809i | −0.0473045 | − | 0.0364992i | ||||
\(732\) | 875.578 | + | 933.595i | 1.19615 | + | 1.27540i | ||||
\(733\) | −900.500 | − | 298.987i | −1.22851 | − | 0.407894i | −0.374051 | − | 0.927408i | \(-0.622032\pi\) |
−0.854462 | + | 0.519514i | \(0.826113\pi\) | |||||||
\(734\) | −1547.78 | − | 1818.11i | −2.10869 | − | 2.47699i | ||||
\(735\) | −153.906 | + | 68.1295i | −0.209396 | + | 0.0926932i | ||||
\(736\) | 73.3486 | − | 158.771i | 0.0996584 | − | 0.215721i | ||||
\(737\) | −118.902 | − | 107.984i | −0.161332 | − | 0.146518i | ||||
\(738\) | 334.443 | + | 1196.85i | 0.453175 | + | 1.62175i | ||||
\(739\) | 739.202 | − | 23.7048i | 1.00027 | − | 0.0320768i | 0.472387 | − | 0.881391i | \(-0.343393\pi\) |
0.527887 | + | 0.849315i | \(0.322984\pi\) | |||||||
\(740\) | 184.547 | + | 1035.82i | 0.249387 | + | 1.39976i | ||||
\(741\) | −314.663 | + | 177.215i | −0.424647 | + | 0.239157i | ||||
\(742\) | −1212.39 | − | 468.367i | −1.63395 | − | 0.631223i | ||||
\(743\) | 25.4314 | − | 18.3527i | 0.0342280 | − | 0.0247008i | −0.567944 | − | 0.823067i | \(-0.692261\pi\) |
0.602172 | + | 0.798366i | \(0.294302\pi\) | |||||||
\(744\) | 898.749 | − | 1657.40i | 1.20800 | − | 2.22769i | ||||
\(745\) | 90.5943 | − | 30.0794i | 0.121603 | − | 0.0403750i | ||||
\(746\) | −1124.41 | − | 681.625i | −1.50725 | − | 0.913706i | ||||
\(747\) | 608.344 | + | 118.475i | 0.814382 | + | 0.158601i | ||||
\(748\) | −75.4549 | + | 7.27904i | −0.100876 | + | 0.00973134i | ||||
\(749\) | −116.602 | + | 721.224i | −0.155677 | + | 0.962916i | ||||
\(750\) | 585.643 | + | 759.018i | 0.780858 | + | 1.01202i | ||||
\(751\) | 41.2025 | + | 641.763i | 0.0548635 | + | 0.854544i | 0.929282 | + | 0.369371i | \(0.120427\pi\) |
−0.874418 | + | 0.485173i | \(0.838757\pi\) | |||||||
\(752\) | −594.208 | − | 1233.88i | −0.790170 | − | 1.64080i | ||||
\(753\) | −562.373 | + | 779.282i | −0.746844 | + | 1.03490i | ||||
\(754\) | −61.7218 | − | 94.8213i | −0.0818592 | − | 0.125758i | ||||
\(755\) | −73.3649 | + | 321.433i | −0.0971721 | + | 0.425739i | ||||
\(756\) | 159.615 | − | 1987.38i | 0.211132 | − | 2.62880i | ||||
\(757\) | 100.167 | + | 82.5412i | 0.132321 | + | 0.109037i | 0.699760 | − | 0.714378i | \(-0.253290\pi\) |
−0.567439 | + | 0.823415i | \(0.692066\pi\) | |||||||
\(758\) | 1659.03 | − | 640.913i | 2.18869 | − | 0.845532i | ||||
\(759\) | 69.9059 | − | 107.394i | 0.0921027 | − | 0.141494i | ||||
\(760\) | −1047.81 | − | 1081.95i | −1.37870 | − | 1.42362i | ||||
\(761\) | 93.9086 | + | 106.794i | 0.123402 | + | 0.140334i | 0.809374 | − | 0.587294i | \(-0.199807\pi\) |
−0.685972 | + | 0.727628i | \(0.740623\pi\) | |||||||
\(762\) | −710.267 | + | 1604.50i | −0.932108 | + | 2.10565i | ||||
\(763\) | 372.548 | + | 1255.24i | 0.488268 | + | 1.64514i | ||||
\(764\) | −324.933 | − | 1668.46i | −0.425305 | − | 2.18385i | ||||
\(765\) | 26.3158 | + | 9.68444i | 0.0343997 | + | 0.0126594i | ||||
\(766\) | −290.012 | + | 555.899i | −0.378606 | + | 0.725716i |