Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.4.e.b.133.11 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.91566 | + | 0.317097i | 1.03084 | + | 0.112111i | 0.607873 | − | 0.794034i | \(-0.292023\pi\) |
0.422967 | + | 0.906145i | \(0.360989\pi\) | |||||||
\(3\) | 1.94216 | − | 2.28649i | 0.373769 | − | 0.440034i | ||||
\(4\) | 0.587538 | + | 0.129327i | 0.0734422 | + | 0.0161658i | ||||
\(5\) | −2.37530 | − | 1.80566i | −0.212453 | − | 0.161503i | 0.493536 | − | 0.869725i | \(-0.335704\pi\) |
−0.705989 | + | 0.708223i | \(0.749497\pi\) | |||||||
\(6\) | 6.38771 | − | 6.05076i | 0.434628 | − | 0.411702i | ||||
\(7\) | 4.97289 | − | 12.4810i | 0.268511 | − | 0.673912i | −0.731457 | − | 0.681887i | \(-0.761159\pi\) |
0.999968 | + | 0.00797561i | \(0.00253874\pi\) | |||||||
\(8\) | −20.5625 | − | 6.92833i | −0.908744 | − | 0.306192i | ||||
\(9\) | −1.45604 | − | 8.88144i | −0.0539273 | − | 0.328942i | ||||
\(10\) | −6.35299 | − | 6.01788i | −0.200899 | − | 0.190302i | ||||
\(11\) | 42.3122 | − | 19.5757i | 1.15978 | − | 0.536573i | 0.256892 | − | 0.966440i | \(-0.417302\pi\) |
0.902892 | + | 0.429867i | \(0.141440\pi\) | |||||||
\(12\) | 1.43680 | − | 1.09222i | 0.0345639 | − | 0.0262748i | ||||
\(13\) | 6.52008 | − | 39.7708i | 0.139104 | − | 0.848494i | −0.821426 | − | 0.570315i | \(-0.806821\pi\) |
0.960529 | − | 0.278179i | \(-0.0897307\pi\) | |||||||
\(14\) | 18.4569 | − | 34.8135i | 0.352345 | − | 0.664592i | ||||
\(15\) | −8.74182 | + | 1.92422i | −0.150475 | + | 0.0331221i | ||||
\(16\) | −62.1244 | − | 28.7418i | −0.970693 | − | 0.449090i | ||||
\(17\) | −39.4135 | − | 98.9205i | −0.562305 | − | 1.41128i | −0.885363 | − | 0.464900i | \(-0.846090\pi\) |
0.323059 | − | 0.946379i | \(-0.395289\pi\) | |||||||
\(18\) | −1.42903 | − | 26.3569i | −0.0187125 | − | 0.345133i | ||||
\(19\) | 62.8249 | + | 92.6599i | 0.758581 | + | 1.11882i | 0.989313 | + | 0.145806i | \(0.0465774\pi\) |
−0.230733 | + | 0.973017i | \(0.574112\pi\) | |||||||
\(20\) | −1.16206 | − | 1.36808i | −0.0129922 | − | 0.0152956i | ||||
\(21\) | −18.8795 | − | 35.6106i | −0.196183 | − | 0.370041i | ||||
\(22\) | 129.575 | − | 43.6590i | 1.25571 | − | 0.423097i | ||||
\(23\) | −7.14293 | + | 131.744i | −0.0647567 | + | 1.19437i | 0.767897 | + | 0.640573i | \(0.221303\pi\) |
−0.832654 | + | 0.553794i | \(0.813180\pi\) | |||||||
\(24\) | −55.7772 | + | 33.5601i | −0.474395 | + | 0.285434i | ||||
\(25\) | −31.0594 | − | 111.866i | −0.248475 | − | 0.894926i | ||||
\(26\) | 31.6215 | − | 113.890i | 0.238519 | − | 0.859067i | ||||
\(27\) | −23.1351 | − | 13.9200i | −0.164902 | − | 0.0992184i | ||||
\(28\) | 4.53589 | − | 6.68994i | 0.0306144 | − | 0.0451528i | ||||
\(29\) | 93.3115 | − | 10.1482i | 0.597500 | − | 0.0649820i | 0.195628 | − | 0.980678i | \(-0.437325\pi\) |
0.401872 | + | 0.915696i | \(0.368360\pi\) | |||||||
\(30\) | −26.0983 | + | 2.83836i | −0.158829 | + | 0.0172737i | ||||
\(31\) | −39.7748 | + | 58.6634i | −0.230444 | + | 0.339879i | −0.925277 | − | 0.379292i | \(-0.876168\pi\) |
0.694833 | + | 0.719171i | \(0.255478\pi\) | |||||||
\(32\) | −23.2800 | − | 14.0071i | −0.128605 | − | 0.0773792i | ||||
\(33\) | 37.4175 | − | 134.766i | 0.197380 | − | 0.710899i | ||||
\(34\) | −83.5489 | − | 300.916i | −0.421427 | − | 1.51784i | ||||
\(35\) | −34.3486 | + | 20.6668i | −0.165885 | + | 0.0998095i | ||||
\(36\) | 0.293131 | − | 5.40648i | 0.00135709 | − | 0.0250300i | ||||
\(37\) | −211.930 | + | 71.4074i | −0.941649 | + | 0.317279i | −0.747929 | − | 0.663778i | \(-0.768952\pi\) |
−0.193720 | + | 0.981057i | \(0.562055\pi\) | |||||||
\(38\) | 153.794 | + | 290.086i | 0.656543 | + | 1.23837i | ||||
\(39\) | −78.2722 | − | 92.1492i | −0.321374 | − | 0.378351i | ||||
\(40\) | 36.3320 | + | 53.5858i | 0.143615 | + | 0.211816i | ||||
\(41\) | 24.2399 | + | 447.079i | 0.0923326 | + | 1.70297i | 0.567740 | + | 0.823208i | \(0.307818\pi\) |
−0.475407 | + | 0.879766i | \(0.657699\pi\) | |||||||
\(42\) | −43.7542 | − | 109.815i | −0.160748 | − | 0.403448i | ||||
\(43\) | 269.623 | + | 124.741i | 0.956211 | + | 0.442390i | 0.835008 | − | 0.550237i | \(-0.185463\pi\) |
0.121203 | + | 0.992628i | \(0.461325\pi\) | |||||||
\(44\) | 27.3917 | − | 6.02937i | 0.0938512 | − | 0.0206582i | ||||
\(45\) | −12.5783 | + | 23.7252i | −0.0416681 | + | 0.0785943i | ||||
\(46\) | −62.6018 | + | 381.854i | −0.200655 | + | 1.22394i | ||||
\(47\) | 159.010 | − | 120.876i | 0.493490 | − | 0.375141i | −0.328627 | − | 0.944460i | \(-0.606586\pi\) |
0.822117 | + | 0.569318i | \(0.192793\pi\) | |||||||
\(48\) | −186.373 | + | 86.2254i | −0.560430 | + | 0.259282i | ||||
\(49\) | 117.970 | + | 111.747i | 0.343937 | + | 0.325794i | ||||
\(50\) | −55.0862 | − | 336.011i | −0.155807 | − | 0.950383i | ||||
\(51\) | −302.728 | − | 102.001i | −0.831183 | − | 0.280058i | ||||
\(52\) | 8.97422 | − | 22.5236i | 0.0239327 | − | 0.0600665i | ||||
\(53\) | 493.355 | − | 467.331i | 1.27863 | − | 1.21119i | 0.313452 | − | 0.949604i | \(-0.398515\pi\) |
0.965181 | − | 0.261582i | \(-0.0842441\pi\) | |||||||
\(54\) | −63.0402 | − | 47.9219i | −0.158864 | − | 0.120766i | ||||
\(55\) | −135.851 | − | 29.9031i | −0.333058 | − | 0.0733116i | ||||
\(56\) | −188.728 | + | 222.188i | −0.450354 | + | 0.530198i | ||||
\(57\) | 333.882 | + | 36.3118i | 0.775854 | + | 0.0843792i | ||||
\(58\) | 275.282 | 0.623212 | ||||||||
\(59\) | −419.180 | − | 172.242i | −0.924959 | − | 0.380068i | ||||
\(60\) | −5.38500 | −0.0115867 | ||||||||
\(61\) | 637.323 | + | 69.3131i | 1.33772 | + | 0.145486i | 0.748848 | − | 0.662742i | \(-0.230607\pi\) |
0.588871 | + | 0.808227i | \(0.299573\pi\) | |||||||
\(62\) | −134.571 | + | 158.430i | −0.275655 | + | 0.324526i | ||||
\(63\) | −118.090 | − | 25.9936i | −0.236158 | − | 0.0519823i | ||||
\(64\) | 372.511 | + | 283.176i | 0.727561 | + | 0.553078i | ||||
\(65\) | −87.2995 | + | 82.6945i | −0.166587 | + | 0.157800i | ||||
\(66\) | 151.830 | − | 381.065i | 0.283167 | − | 0.710695i | ||||
\(67\) | −513.286 | − | 172.946i | −0.935939 | − | 0.315355i | −0.190316 | − | 0.981723i | \(-0.560951\pi\) |
−0.745623 | + | 0.666368i | \(0.767848\pi\) | |||||||
\(68\) | −10.3639 | − | 63.2167i | −0.0184824 | − | 0.112738i | ||||
\(69\) | 287.357 | + | 272.199i | 0.501359 | + | 0.474912i | ||||
\(70\) | −106.702 | + | 49.3656i | −0.182190 | + | 0.0842902i | ||||
\(71\) | −379.328 | + | 288.358i | −0.634056 | + | 0.481997i | −0.872146 | − | 0.489246i | \(-0.837272\pi\) |
0.238090 | + | 0.971243i | \(0.423479\pi\) | |||||||
\(72\) | −31.5937 | + | 192.713i | −0.0517132 | + | 0.315436i | ||||
\(73\) | −89.9427 | + | 169.650i | −0.144205 | + | 0.272000i | −0.945085 | − | 0.326826i | \(-0.894021\pi\) |
0.800879 | + | 0.598826i | \(0.204366\pi\) | |||||||
\(74\) | −640.557 | + | 140.997i | −1.00626 | + | 0.221495i | ||||
\(75\) | −316.102 | − | 146.244i | −0.486671 | − | 0.225158i | ||||
\(76\) | 24.9286 | + | 62.5661i | 0.0376251 | + | 0.0944319i | ||||
\(77\) | −33.9108 | − | 625.448i | −0.0501882 | − | 0.925668i | ||||
\(78\) | −198.995 | − | 293.495i | −0.288868 | − | 0.426049i | ||||
\(79\) | 408.488 | + | 480.910i | 0.581754 | + | 0.684893i | 0.971774 | − | 0.235913i | \(-0.0758080\pi\) |
−0.390021 | + | 0.920806i | \(0.627532\pi\) | |||||||
\(80\) | 95.6662 | + | 180.446i | 0.133698 | + | 0.252180i | ||||
\(81\) | −76.7599 | + | 25.8634i | −0.105295 | + | 0.0354779i | ||||
\(82\) | −71.0919 | + | 1311.21i | −0.0957414 | + | 1.76585i | ||||
\(83\) | 833.496 | − | 501.498i | 1.10227 | − | 0.663212i | 0.156376 | − | 0.987698i | \(-0.450019\pi\) |
0.945890 | + | 0.324486i | \(0.105191\pi\) | |||||||
\(84\) | −6.48703 | − | 23.3642i | −0.00842611 | − | 0.0303481i | ||||
\(85\) | −84.9975 | + | 306.133i | −0.108462 | + | 0.390645i | ||||
\(86\) | 746.572 | + | 449.198i | 0.936104 | + | 0.563235i | ||||
\(87\) | 158.022 | − | 233.065i | 0.194732 | − | 0.287209i | ||||
\(88\) | −1005.67 | + | 109.374i | −1.21824 | + | 0.132492i | ||||
\(89\) | −1306.45 | + | 142.086i | −1.55600 | + | 0.169225i | −0.845308 | − | 0.534279i | \(-0.820583\pi\) |
−0.710691 | + | 0.703504i | \(0.751618\pi\) | |||||||
\(90\) | −44.1972 | + | 65.1860i | −0.0517644 | + | 0.0763467i | ||||
\(91\) | −463.956 | − | 279.153i | −0.534459 | − | 0.321573i | ||||
\(92\) | −21.2347 | + | 76.4806i | −0.0240638 | + | 0.0866701i | ||||
\(93\) | 56.8841 | + | 204.878i | 0.0634259 | + | 0.228439i | ||||
\(94\) | 501.949 | − | 302.013i | 0.550767 | − | 0.331385i | ||||
\(95\) | 18.0838 | − | 333.535i | 0.0195301 | − | 0.360211i | ||||
\(96\) | −77.2406 | + | 26.0254i | −0.0821181 | + | 0.0276688i | ||||
\(97\) | 689.479 | + | 1300.50i | 0.721711 | + | 1.36129i | 0.924162 | + | 0.382000i | \(0.124765\pi\) |
−0.202451 | + | 0.979292i | \(0.564891\pi\) | |||||||
\(98\) | 308.526 | + | 363.225i | 0.318019 | + | 0.374401i | ||||
\(99\) | −235.469 | − | 347.291i | −0.239046 | − | 0.352566i | ||||
\(100\) | −3.78131 | − | 69.7422i | −0.00378131 | − | 0.0697422i | ||||
\(101\) | −461.615 | − | 1158.57i | −0.454777 | − | 1.14140i | −0.960394 | − | 0.278646i | \(-0.910114\pi\) |
0.505617 | − | 0.862758i | \(-0.331265\pi\) | |||||||
\(102\) | −850.305 | − | 393.393i | −0.825419 | − | 0.381880i | ||||
\(103\) | 1770.75 | − | 389.772i | 1.69396 | − | 0.372868i | 0.739951 | − | 0.672661i | \(-0.234849\pi\) |
0.954004 | + | 0.299793i | \(0.0969176\pi\) | |||||||
\(104\) | −409.614 | + | 772.614i | −0.386211 | + | 0.728472i | ||||
\(105\) | −19.4559 | + | 118.676i | −0.0180829 | + | 0.110301i | ||||
\(106\) | 1586.64 | − | 1206.14i | 1.45385 | − | 1.10519i | ||||
\(107\) | −188.229 | + | 87.0841i | −0.170064 | + | 0.0786798i | −0.503074 | − | 0.864243i | \(-0.667798\pi\) |
0.333010 | + | 0.942923i | \(0.391936\pi\) | |||||||
\(108\) | −11.7925 | − | 11.1705i | −0.0105068 | − | 0.00995260i | ||||
\(109\) | 140.802 | + | 858.856i | 0.123729 | + | 0.754711i | 0.973692 | + | 0.227869i | \(0.0731757\pi\) |
−0.849963 | + | 0.526842i | \(0.823376\pi\) | |||||||
\(110\) | −386.614 | − | 130.265i | −0.335111 | − | 0.112912i | ||||
\(111\) | −248.329 | + | 623.259i | −0.212345 | + | 0.532947i | ||||
\(112\) | −667.665 | + | 632.445i | −0.563289 | + | 0.533576i | ||||
\(113\) | −928.634 | − | 705.929i | −0.773085 | − | 0.587684i | 0.142507 | − | 0.989794i | \(-0.454484\pi\) |
−0.915591 | + | 0.402110i | \(0.868277\pi\) | |||||||
\(114\) | 961.969 | + | 211.745i | 0.790322 | + | 0.173963i | ||||
\(115\) | 254.850 | − | 300.033i | 0.206652 | − | 0.243289i | ||||
\(116\) | 56.1364 | + | 6.10520i | 0.0449322 | + | 0.00488667i | ||||
\(117\) | −362.715 | −0.286607 | ||||||||
\(118\) | −1167.57 | − | 635.119i | −0.910875 | − | 0.495487i | ||||
\(119\) | −1430.63 | −1.10206 | ||||||||
\(120\) | 193.086 | + | 20.9993i | 0.146885 | + | 0.0159747i | ||||
\(121\) | 545.445 | − | 642.148i | 0.409801 | − | 0.482455i | ||||
\(122\) | 1836.24 | + | 404.186i | 1.36266 | + | 0.299945i | ||||
\(123\) | 1069.32 | + | 812.873i | 0.783878 | + | 0.595889i | ||||
\(124\) | −30.9559 | + | 29.3230i | −0.0224187 | + | 0.0212361i | ||||
\(125\) | −266.263 | + | 668.271i | −0.190523 | + | 0.478176i | ||||
\(126\) | −336.068 | − | 113.234i | −0.237613 | − | 0.0800613i | ||||
\(127\) | 185.295 | + | 1130.25i | 0.129466 | + | 0.789710i | 0.969120 | + | 0.246588i | \(0.0793096\pi\) |
−0.839654 | + | 0.543122i | \(0.817242\pi\) | |||||||
\(128\) | 1154.12 | + | 1093.24i | 0.796958 | + | 0.754918i | ||||
\(129\) | 808.868 | − | 374.222i | 0.552069 | − | 0.255414i | ||||
\(130\) | −280.757 | + | 213.426i | −0.189416 | + | 0.143990i | ||||
\(131\) | 50.2909 | − | 306.761i | 0.0335415 | − | 0.204594i | −0.964739 | − | 0.263207i | \(-0.915220\pi\) |
0.998281 | + | 0.0586134i | \(0.0186679\pi\) | |||||||
\(132\) | 39.4130 | − | 74.3407i | 0.0259883 | − | 0.0490192i | ||||
\(133\) | 1468.91 | − | 323.332i | 0.957675 | − | 0.210800i | ||||
\(134\) | −1441.73 | − | 667.014i | −0.929449 | − | 0.430009i | ||||
\(135\) | 29.8183 | + | 74.8382i | 0.0190100 | + | 0.0477115i | ||||
\(136\) | 125.089 | + | 2307.13i | 0.0788696 | + | 1.45466i | ||||
\(137\) | −1446.31 | − | 2133.14i | −0.901943 | − | 1.33027i | −0.943584 | − | 0.331134i | \(-0.892569\pi\) |
0.0416401 | − | 0.999133i | \(-0.486742\pi\) | |||||||
\(138\) | 751.522 | + | 884.760i | 0.463578 | + | 0.545766i | ||||
\(139\) | −130.698 | − | 246.523i | −0.0797530 | − | 0.150430i | 0.840428 | − | 0.541923i | \(-0.182304\pi\) |
−0.920181 | + | 0.391493i | \(0.871959\pi\) | |||||||
\(140\) | −22.8538 | + | 7.70036i | −0.0137964 | + | 0.00464856i | ||||
\(141\) | 32.4408 | − | 598.336i | 0.0193760 | − | 0.357369i | ||||
\(142\) | −1197.43 | + | 720.469i | −0.707648 | + | 0.425777i | ||||
\(143\) | −502.662 | − | 1810.42i | −0.293949 | − | 1.05871i | ||||
\(144\) | −164.813 | + | 593.603i | −0.0953779 | + | 0.343520i | ||||
\(145\) | −239.967 | − | 144.383i | −0.137436 | − | 0.0826923i | ||||
\(146\) | −316.038 | + | 466.120i | −0.179147 | + | 0.264222i | ||||
\(147\) | 484.626 | − | 52.7062i | 0.271913 | − | 0.0295724i | ||||
\(148\) | −133.752 | + | 14.5464i | −0.0742859 | + | 0.00807907i | ||||
\(149\) | 1845.13 | − | 2721.36i | 1.01449 | − | 1.49626i | 0.153166 | − | 0.988200i | \(-0.451053\pi\) |
0.861323 | − | 0.508058i | \(-0.169637\pi\) | |||||||
\(150\) | −875.271 | − | 526.633i | −0.476437 | − | 0.286663i | ||||
\(151\) | −309.990 | + | 1116.48i | −0.167064 | + | 0.601709i | 0.831845 | + | 0.555008i | \(0.187285\pi\) |
−0.998909 | + | 0.0467016i | \(0.985129\pi\) | |||||||
\(152\) | −649.863 | − | 2340.59i | −0.346782 | − | 1.24900i | ||||
\(153\) | −821.168 | + | 494.081i | −0.433905 | + | 0.261072i | ||||
\(154\) | 99.4552 | − | 1834.34i | 0.0520411 | − | 0.959842i | ||||
\(155\) | 200.403 | − | 67.5236i | 0.103850 | − | 0.0349911i | ||||
\(156\) | −34.0705 | − | 64.2638i | −0.0174861 | − | 0.0329822i | ||||
\(157\) | −266.030 | − | 313.195i | −0.135233 | − | 0.159208i | 0.690377 | − | 0.723450i | \(-0.257445\pi\) |
−0.825610 | + | 0.564241i | \(0.809169\pi\) | |||||||
\(158\) | 1038.52 | + | 1531.70i | 0.522911 | + | 0.771236i | ||||
\(159\) | −110.371 | − | 2035.68i | −0.0550505 | − | 1.01535i | ||||
\(160\) | 30.0050 | + | 75.3069i | 0.0148256 | + | 0.0372096i | ||||
\(161\) | 1608.77 | + | 744.298i | 0.787510 | + | 0.364341i | ||||
\(162\) | −232.007 | + | 51.0685i | −0.112520 | + | 0.0247674i | ||||
\(163\) | 1391.64 | − | 2624.91i | 0.668721 | − | 1.26134i | −0.284386 | − | 0.958710i | \(-0.591790\pi\) |
0.953107 | − | 0.302632i | \(-0.0978655\pi\) | |||||||
\(164\) | −43.5774 | + | 265.810i | −0.0207489 | + | 0.126563i | ||||
\(165\) | −332.218 | + | 252.546i | −0.156746 | + | 0.119155i | ||||
\(166\) | 2589.21 | − | 1197.90i | 1.21061 | − | 0.560089i | ||||
\(167\) | −10.6782 | − | 10.1149i | −0.00494793 | − | 0.00468693i | 0.685222 | − | 0.728335i | \(-0.259705\pi\) |
−0.690169 | + | 0.723648i | \(0.742464\pi\) | |||||||
\(168\) | 141.489 | + | 863.047i | 0.0649771 | + | 0.396343i | ||||
\(169\) | 542.793 | + | 182.888i | 0.247061 | + | 0.0832445i | ||||
\(170\) | −344.897 | + | 865.627i | −0.155602 | + | 0.390533i | ||||
\(171\) | 731.477 | − | 692.892i | 0.327120 | − | 0.309864i | ||||
\(172\) | 142.281 | + | 108.159i | 0.0630746 | + | 0.0479481i | ||||
\(173\) | 60.8219 | + | 13.3879i | 0.0267295 | + | 0.00588361i | 0.228315 | − | 0.973587i | \(-0.426678\pi\) |
−0.201586 | + | 0.979471i | \(0.564609\pi\) | |||||||
\(174\) | 534.642 | − | 629.429i | 0.232937 | − | 0.274235i | ||||
\(175\) | −1550.65 | − | 168.644i | −0.669820 | − | 0.0728473i | ||||
\(176\) | −3191.26 | −1.36676 | ||||||||
\(177\) | −1207.94 | + | 623.927i | −0.512963 | + | 0.264956i | ||||
\(178\) | −3854.23 | −1.62296 | ||||||||
\(179\) | 2013.19 | + | 218.948i | 0.840631 | + | 0.0914241i | 0.518296 | − | 0.855201i | \(-0.326567\pi\) |
0.322335 | + | 0.946626i | \(0.395532\pi\) | |||||||
\(180\) | −10.4585 | + | 12.3127i | −0.00433074 | + | 0.00509854i | ||||
\(181\) | −1261.62 | − | 277.703i | −0.518095 | − | 0.114041i | −0.0517774 | − | 0.998659i | \(-0.516489\pi\) |
−0.466318 | + | 0.884617i | \(0.654420\pi\) | |||||||
\(182\) | −1264.22 | − | 961.033i | −0.514890 | − | 0.391409i | ||||
\(183\) | 1396.27 | − | 1322.61i | 0.564016 | − | 0.534264i | ||||
\(184\) | 1059.64 | − | 2659.50i | 0.424553 | − | 1.06555i | ||||
\(185\) | 632.334 | + | 213.058i | 0.251298 | + | 0.0846721i | ||||
\(186\) | 100.888 | + | 615.392i | 0.0397715 | + | 0.242595i | ||||
\(187\) | −3604.11 | − | 3414.00i | −1.40941 | − | 1.33506i | ||||
\(188\) | 109.057 | − | 50.4552i | 0.0423075 | − | 0.0195735i | ||||
\(189\) | −288.784 | + | 219.528i | −0.111142 | + | 0.0844883i | ||||
\(190\) | 158.489 | − | 966.740i | 0.0605158 | − | 0.369130i | ||||
\(191\) | 1057.85 | − | 1995.32i | 0.400751 | − | 0.755897i | −0.598216 | − | 0.801335i | \(-0.704124\pi\) |
0.998967 | + | 0.0454380i | \(0.0144683\pi\) | |||||||
\(192\) | 1370.95 | − | 301.770i | 0.515313 | − | 0.113429i | ||||
\(193\) | −1583.04 | − | 732.391i | −0.590412 | − | 0.273153i | 0.101850 | − | 0.994800i | \(-0.467524\pi\) |
−0.692262 | + | 0.721646i | \(0.743386\pi\) | |||||||
\(194\) | 1597.90 | + | 4010.43i | 0.591354 | + | 1.48419i | ||||
\(195\) | 19.5303 | + | 360.215i | 0.00717227 | + | 0.132285i | ||||
\(196\) | 54.8600 | + | 80.9125i | 0.0199927 | + | 0.0294871i | ||||
\(197\) | −665.533 | − | 783.526i | −0.240697 | − | 0.283370i | 0.628528 | − | 0.777787i | \(-0.283658\pi\) |
−0.869225 | + | 0.494417i | \(0.835382\pi\) | |||||||
\(198\) | −576.422 | − | 1087.25i | −0.206891 | − | 0.390239i | ||||
\(199\) | 1409.00 | − | 474.749i | 0.501918 | − | 0.169116i | −0.0569426 | − | 0.998377i | \(-0.518135\pi\) |
0.558861 | + | 0.829262i | \(0.311239\pi\) | |||||||
\(200\) | −136.383 | + | 2515.43i | −0.0482186 | + | 0.889340i | ||||
\(201\) | −1392.32 | + | 837.733i | −0.488592 | + | 0.293976i | ||||
\(202\) | −978.534 | − | 3524.36i | −0.340839 | − | 1.22759i | ||||
\(203\) | 337.368 | − | 1215.09i | 0.116643 | − | 0.420111i | ||||
\(204\) | −164.672 | − | 99.0801i | −0.0565165 | − | 0.0340049i | ||||
\(205\) | 749.693 | − | 1105.72i | 0.255419 | − | 0.376715i | ||||
\(206\) | 5286.50 | − | 574.942i | 1.78800 | − | 0.194457i | ||||
\(207\) | 1180.47 | − | 128.384i | 0.396370 | − | 0.0431078i | ||||
\(208\) | −1548.14 | + | 2283.33i | −0.516077 | + | 0.761157i | ||||
\(209\) | 4472.15 | + | 2690.80i | 1.48012 | + | 0.890558i | ||||
\(210\) | −94.3584 | + | 339.848i | −0.0310064 | + | 0.111675i | ||||
\(211\) | 1485.22 | + | 5349.30i | 0.484583 | + | 1.74531i | 0.650826 | + | 0.759227i | \(0.274423\pi\) |
−0.166243 | + | 0.986085i | \(0.553164\pi\) | |||||||
\(212\) | 350.303 | − | 210.770i | 0.113485 | − | 0.0682819i | ||||
\(213\) | −77.3895 | + | 1427.37i | −0.0248950 | + | 0.459162i | ||||
\(214\) | −576.426 | + | 194.221i | −0.184129 | + | 0.0620404i | ||||
\(215\) | −415.196 | − | 783.143i | −0.131703 | − | 0.248418i | ||||
\(216\) | 379.275 | + | 446.517i | 0.119474 | + | 0.140656i | ||||
\(217\) | 534.383 | + | 788.156i | 0.167172 | + | 0.246560i | ||||
\(218\) | 138.191 | + | 2548.78i | 0.0429333 | + | 0.791857i | ||||
\(219\) | 213.219 | + | 535.140i | 0.0657901 | + | 0.165121i | ||||
\(220\) | −75.9505 | − | 35.1384i | −0.0232754 | − | 0.0107683i | ||||
\(221\) | −4191.12 | + | 922.535i | −1.27568 | + | 0.280798i | ||||
\(222\) | −921.675 | + | 1738.46i | −0.278643 | + | 0.525577i | ||||
\(223\) | 672.220 | − | 4100.36i | 0.201862 | − | 1.23130i | −0.670302 | − | 0.742088i | \(-0.733835\pi\) |
0.872164 | − | 0.489214i | \(-0.162716\pi\) | |||||||
\(224\) | −290.592 | + | 220.902i | −0.0866786 | + | 0.0658914i | ||||
\(225\) | −948.306 | + | 438.733i | −0.280979 | + | 0.129995i | ||||
\(226\) | −2483.73 | − | 2352.71i | −0.731041 | − | 0.692479i | ||||
\(227\) | 835.755 | + | 5097.88i | 0.244366 | + | 1.49056i | 0.769007 | + | 0.639241i | \(0.220751\pi\) |
−0.524641 | + | 0.851323i | \(0.675801\pi\) | |||||||
\(228\) | 191.472 | + | 64.5144i | 0.0556164 | + | 0.0187393i | ||||
\(229\) | 168.700 | − | 423.406i | 0.0486814 | − | 0.122181i | −0.902625 | − | 0.430427i | \(-0.858363\pi\) |
0.951307 | + | 0.308246i | \(0.0997421\pi\) | |||||||
\(230\) | 838.196 | − | 793.981i | 0.240300 | − | 0.227624i | ||||
\(231\) | −1495.94 | − | 1137.18i | −0.426084 | − | 0.323901i | ||||
\(232\) | −1989.03 | − | 437.819i | −0.562872 | − | 0.123897i | ||||
\(233\) | −849.781 | + | 1000.44i | −0.238931 | + | 0.281292i | −0.868538 | − | 0.495622i | \(-0.834940\pi\) |
0.629607 | + | 0.776914i | \(0.283216\pi\) | |||||||
\(234\) | −1057.55 | − | 115.016i | −0.295446 | − | 0.0321317i | ||||
\(235\) | −595.959 | −0.165430 | ||||||||
\(236\) | −224.008 | − | 155.410i | −0.0617869 | − | 0.0428658i | ||||
\(237\) | 1892.94 | 0.518818 | ||||||||
\(238\) | −4171.22 | − | 453.647i | −1.13605 | − | 0.123553i | ||||
\(239\) | −2413.38 | + | 2841.25i | −0.653175 | + | 0.768977i | −0.984660 | − | 0.174483i | \(-0.944174\pi\) |
0.331485 | + | 0.943460i | \(0.392450\pi\) | |||||||
\(240\) | 598.386 | + | 131.715i | 0.160940 | + | 0.0354256i | ||||
\(241\) | 2257.28 | + | 1715.94i | 0.603336 | + | 0.458644i | 0.861710 | − | 0.507401i | \(-0.169394\pi\) |
−0.258374 | + | 0.966045i | \(0.583187\pi\) | |||||||
\(242\) | 1793.95 | − | 1699.32i | 0.476528 | − | 0.451391i | ||||
\(243\) | −89.9436 | + | 225.741i | −0.0237444 | + | 0.0595939i | ||||
\(244\) | 365.487 | + | 123.147i | 0.0958931 | + | 0.0323101i | ||||
\(245\) | −78.4375 | − | 478.447i | −0.0204538 | − | 0.124763i | ||||
\(246\) | 2860.00 | + | 2709.14i | 0.741248 | + | 0.702147i | ||||
\(247\) | 4094.78 | − | 1894.45i | 1.05484 | − | 0.488019i | ||||
\(248\) | 1224.31 | − | 930.695i | 0.313483 | − | 0.238303i | ||||
\(249\) | 472.114 | − | 2879.77i | 0.120157 | − | 0.732923i | ||||
\(250\) | −988.239 | + | 1864.02i | −0.250007 | + | 0.471563i | ||||
\(251\) | 397.969 | − | 87.5995i | 0.100078 | − | 0.0220288i | −0.164649 | − | 0.986352i | \(-0.552649\pi\) |
0.264727 | + | 0.964323i | \(0.414718\pi\) | |||||||
\(252\) | −66.0207 | − | 30.5444i | −0.0165036 | − | 0.00763539i | ||||
\(253\) | 2276.74 | + | 5714.20i | 0.565762 | + | 1.41995i | ||||
\(254\) | 181.858 | + | 3354.17i | 0.0449243 | + | 0.828580i | ||||
\(255\) | 534.891 | + | 788.905i | 0.131357 | + | 0.193738i | ||||
\(256\) | 594.927 | + | 700.402i | 0.145246 | + | 0.170997i | ||||
\(257\) | 2236.47 | + | 4218.42i | 0.542828 | + | 1.02388i | 0.991490 | + | 0.130181i | \(0.0415559\pi\) |
−0.448662 | + | 0.893702i | \(0.648099\pi\) | |||||||
\(258\) | 2477.05 | − | 834.614i | 0.597729 | − | 0.201398i | ||||
\(259\) | −162.666 | + | 3000.20i | −0.0390254 | + | 0.719781i | ||||
\(260\) | −61.9863 | + | 37.2959i | −0.0147855 | + | 0.00889614i | ||||
\(261\) | −225.996 | − | 813.964i | −0.0535969 | − | 0.193039i | ||||
\(262\) | 243.904 | − | 878.462i | 0.0575131 | − | 0.207143i | ||||
\(263\) | −4496.62 | − | 2705.53i | −1.05427 | − | 0.634335i | −0.120687 | − | 0.992691i | \(-0.538510\pi\) |
−0.933585 | + | 0.358356i | \(0.883337\pi\) | |||||||
\(264\) | −1703.10 | + | 2511.88i | −0.397039 | + | 0.585589i | ||||
\(265\) | −2015.71 | + | 219.221i | −0.467260 | + | 0.0508176i | ||||
\(266\) | 4385.37 | − | 476.938i | 1.01084 | − | 0.109936i | ||||
\(267\) | −2212.47 | + | 3263.14i | −0.507119 | + | 0.747944i | ||||
\(268\) | −279.208 | − | 167.994i | −0.0636394 | − | 0.0382906i | ||||
\(269\) | −1359.95 | + | 4898.10i | −0.308244 | + | 1.11019i | 0.633467 | + | 0.773770i | \(0.281631\pi\) |
−0.941711 | + | 0.336424i | \(0.890782\pi\) | |||||||
\(270\) | 63.2089 | + | 227.658i | 0.0142473 | + | 0.0513141i | ||||
\(271\) | −4868.90 | + | 2929.52i | −1.09138 | + | 0.656662i | −0.943176 | − | 0.332294i | \(-0.892177\pi\) |
−0.148206 | + | 0.988957i | \(0.547350\pi\) | |||||||
\(272\) | −394.612 | + | 7278.18i | −0.0879663 | + | 1.62244i | ||||
\(273\) | −1539.36 | + | 518.669i | −0.341268 | + | 0.114986i | ||||
\(274\) | −3540.52 | − | 6678.13i | −0.780623 | − | 1.47241i | ||||
\(275\) | −3504.05 | − | 4125.28i | −0.768371 | − | 0.904596i | ||||
\(276\) | 133.631 | + | 197.090i | 0.0291435 | + | 0.0429835i | ||||
\(277\) | 237.519 | + | 4380.78i | 0.0515203 | + | 0.950237i | 0.904015 | + | 0.427501i | \(0.140606\pi\) |
−0.852495 | + | 0.522736i | \(0.824911\pi\) | |||||||
\(278\) | −302.899 | − | 760.219i | −0.0653477 | − | 0.164010i | ||||
\(279\) | 578.929 | + | 267.841i | 0.124228 | + | 0.0574739i | ||||
\(280\) | 849.480 | − | 186.985i | 0.181308 | − | 0.0399088i | ||||
\(281\) | −1222.16 | + | 2305.24i | −0.259459 | + | 0.489391i | −0.978680 | − | 0.205390i | \(-0.934154\pi\) |
0.719221 | + | 0.694781i | \(0.244499\pi\) | |||||||
\(282\) | 284.317 | − | 1734.26i | 0.0600384 | − | 0.366218i | ||||
\(283\) | −4835.79 | + | 3676.07i | −1.01575 | + | 0.772154i | −0.973902 | − | 0.226970i | \(-0.927118\pi\) |
−0.0418499 | + | 0.999124i | \(0.513325\pi\) | |||||||
\(284\) | −260.162 | + | 120.364i | −0.0543584 | + | 0.0251489i | ||||
\(285\) | −727.503 | − | 689.127i | −0.151205 | − | 0.143229i | ||||
\(286\) | −891.510 | − | 5437.97i | −0.184322 | − | 1.12431i | ||||
\(287\) | 5700.54 | + | 1920.74i | 1.17245 | + | 0.395043i | ||||
\(288\) | −90.5068 | + | 227.155i | −0.0185179 | + | 0.0464765i | ||||
\(289\) | −4665.02 | + | 4418.94i | −0.949525 | + | 0.899438i | ||||
\(290\) | −653.878 | − | 497.065i | −0.132404 | − | 0.100651i | ||||
\(291\) | 4312.64 | + | 949.285i | 0.868769 | + | 0.191230i | ||||
\(292\) | −74.7850 | + | 88.0437i | −0.0149879 | + | 0.0176451i | ||||
\(293\) | −873.951 | − | 95.0479i | −0.174255 | − | 0.0189514i | 0.0205754 | − | 0.999788i | \(-0.493450\pi\) |
−0.194831 | + | 0.980837i | \(0.562416\pi\) | |||||||
\(294\) | 1429.72 | 0.283615 | ||||||||
\(295\) | 684.668 | + | 1166.02i | 0.135129 | + | 0.230130i | ||||
\(296\) | 4852.55 | 0.952867 | ||||||||
\(297\) | −1251.39 | − | 136.097i | −0.244489 | − | 0.0265898i | ||||
\(298\) | 6242.69 | − | 7349.47i | 1.21352 | − | 1.42867i | ||||
\(299\) | 5192.97 | + | 1143.06i | 1.00441 | + | 0.221086i | ||||
\(300\) | −166.808 | − | 126.804i | −0.0321023 | − | 0.0244035i | ||||
\(301\) | 2897.70 | − | 2744.84i | 0.554885 | − | 0.525615i | ||||
\(302\) | −1257.86 | + | 3156.99i | −0.239674 | + | 0.601537i | ||||
\(303\) | −3545.58 | − | 1194.64i | −0.672238 | − | 0.226503i | ||||
\(304\) | −1239.75 | − | 7562.14i | −0.233896 | − | 1.42670i | ||||
\(305\) | −1388.68 | − | 1315.43i | −0.260707 | − | 0.246954i | ||||
\(306\) | −2550.92 | + | 1180.18i | −0.476556 | + | 0.220478i | ||||
\(307\) | −8463.03 | + | 6433.43i | −1.57332 | + | 1.19601i | −0.693788 | + | 0.720179i | \(0.744060\pi\) |
−0.879537 | + | 0.475831i | \(0.842147\pi\) | |||||||
\(308\) | 60.9633 | − | 371.860i | 0.0112783 | − | 0.0687944i | ||||
\(309\) | 2547.87 | − | 4805.80i | 0.469073 | − | 0.884765i | ||||
\(310\) | 605.718 | − | 133.329i | 0.110976 | − | 0.0244276i | ||||
\(311\) | 1101.00 | + | 509.379i | 0.200747 | + | 0.0928753i | 0.517687 | − | 0.855570i | \(-0.326793\pi\) |
−0.316940 | + | 0.948446i | \(0.602655\pi\) | |||||||
\(312\) | 971.036 | + | 2437.12i | 0.176199 | + | 0.442226i | ||||
\(313\) | 353.749 | + | 6524.51i | 0.0638820 | + | 1.17823i | 0.838173 | + | 0.545404i | \(0.183624\pi\) |
−0.774291 | + | 0.632829i | \(0.781893\pi\) | |||||||
\(314\) | −676.339 | − | 997.526i | −0.121554 | − | 0.179279i | ||||
\(315\) | 233.564 | + | 274.973i | 0.0417773 | + | 0.0491840i | ||||
\(316\) | 177.808 | + | 335.381i | 0.0316534 | + | 0.0597046i | ||||
\(317\) | −10140.4 | + | 3416.70i | −1.79666 | + | 0.605366i | −0.796662 | + | 0.604425i | \(0.793403\pi\) |
−1.00000 | 0.000940199i | \(0.999701\pi\) | ||||||||
\(318\) | 323.703 | − | 5970.34i | 0.0570828 | − | 1.05283i | ||||
\(319\) | 3749.56 | − | 2256.03i | 0.658103 | − | 0.395968i | ||||
\(320\) | −373.508 | − | 1345.26i | −0.0652492 | − | 0.235006i | ||||
\(321\) | −166.455 | + | 599.515i | −0.0289426 | + | 0.104242i | ||||
\(322\) | 4454.62 | + | 2680.25i | 0.770951 | + | 0.463866i | ||||
\(323\) | 6689.80 | − | 9866.72i | 1.15242 | − | 1.69969i | ||||
\(324\) | −48.4442 | + | 5.26862i | −0.00830661 | + | 0.000903398i | ||||
\(325\) | −4651.50 | + | 505.881i | −0.793903 | + | 0.0863422i | ||||
\(326\) | 4889.89 | − | 7212.05i | 0.830755 | − | 1.22527i | ||||
\(327\) | 2237.22 | + | 1346.09i | 0.378344 | + | 0.227642i | ||||
\(328\) | 2599.07 | − | 9361.01i | 0.437530 | − | 1.57584i | ||||
\(329\) | −717.921 | − | 2585.72i | −0.120305 | − | 0.433298i | ||||
\(330\) | −1048.72 | + | 630.991i | −0.174939 | + | 0.105257i | ||||
\(331\) | 178.350 | − | 3289.47i | 0.0296163 | − | 0.546240i | −0.945647 | − | 0.325194i | \(-0.894570\pi\) |
0.975263 | − | 0.221046i | \(-0.0709470\pi\) | |||||||
\(332\) | 554.567 | − | 186.856i | 0.0916742 | − | 0.0308886i | ||||
\(333\) | 942.778 | + | 1778.27i | 0.155147 | + | 0.292638i | ||||
\(334\) | −27.9266 | − | 32.8777i | −0.00457507 | − | 0.00538619i | ||||
\(335\) | 906.928 | + | 1337.62i | 0.147913 | + | 0.218155i | ||||
\(336\) | 149.367 | + | 2754.92i | 0.0242519 | + | 0.447300i | ||||
\(337\) | −3914.25 | − | 9824.02i | −0.632708 | − | 1.58798i | −0.798619 | − | 0.601837i | \(-0.794436\pi\) |
0.165911 | − | 0.986141i | \(-0.446943\pi\) | |||||||
\(338\) | 1524.60 | + | 705.357i | 0.245348 | + | 0.113510i | ||||
\(339\) | −3417.65 | + | 752.282i | −0.547556 | + | 0.120526i | ||||
\(340\) | −89.5304 | + | 168.872i | −0.0142808 | + | 0.0269364i | ||||
\(341\) | −534.581 | + | 3260.80i | −0.0848949 | + | 0.517836i | ||||
\(342\) | 2352.45 | − | 1788.29i | 0.371947 | − | 0.282747i | ||||
\(343\) | 6163.74 | − | 2851.65i | 0.970294 | − | 0.448906i | ||||
\(344\) | −4679.88 | − | 4433.02i | −0.733495 | − | 0.694804i | ||||
\(345\) | −191.062 | − | 1165.42i | −0.0298157 | − | 0.181868i | ||||
\(346\) | 173.091 | + | 58.3210i | 0.0268942 | + | 0.00906173i | ||||
\(347\) | 1988.96 | − | 4991.91i | 0.307703 | − | 0.772277i | −0.691071 | − | 0.722786i | \(-0.742861\pi\) |
0.998775 | − | 0.0494902i | \(-0.0157597\pi\) | |||||||
\(348\) | 122.985 | − | 116.498i | 0.0189446 | − | 0.0179452i | ||||
\(349\) | 4144.56 | + | 3150.61i | 0.635682 | + | 0.483233i | 0.872690 | − | 0.488275i | \(-0.162374\pi\) |
−0.237008 | + | 0.971508i | \(0.576167\pi\) | |||||||
\(350\) | −4467.70 | − | 983.415i | −0.682310 | − | 0.150188i | ||||
\(351\) | −704.450 | + | 829.343i | −0.107125 | + | 0.126117i | ||||
\(352\) | −1259.23 | − | 136.949i | −0.190674 | − | 0.0207370i | ||||
\(353\) | −3300.06 | −0.497576 | −0.248788 | − | 0.968558i | \(-0.580032\pi\) | ||||
−0.248788 | + | 0.968558i | \(0.580032\pi\) | |||||||
\(354\) | −3719.79 | + | 1436.12i | −0.558488 | + | 0.215619i | ||||
\(355\) | 1421.69 | 0.212551 | ||||||||
\(356\) | −785.967 | − | 85.4790i | −0.117012 | − | 0.0127258i | ||||
\(357\) | −2778.51 | + | 3271.11i | −0.411916 | + | 0.484945i | ||||
\(358\) | 5800.34 | + | 1276.75i | 0.856306 | + | 0.188487i | ||||
\(359\) | 3030.87 | + | 2304.01i | 0.445580 | + | 0.338721i | 0.803783 | − | 0.594923i | \(-0.202817\pi\) |
−0.358203 | + | 0.933644i | \(0.616610\pi\) | |||||||
\(360\) | 423.018 | − | 400.704i | 0.0619305 | − | 0.0586637i | ||||
\(361\) | −2100.10 | + | 5270.85i | −0.306182 | + | 0.768458i | ||||
\(362\) | −3590.38 | − | 1209.74i | −0.521288 | − | 0.175642i | ||||
\(363\) | −408.921 | − | 2494.31i | −0.0591261 | − | 0.360653i | ||||
\(364\) | −236.490 | − | 224.015i | −0.0340533 | − | 0.0322570i | ||||
\(365\) | 519.971 | − | 240.564i | 0.0745658 | − | 0.0344978i | ||||
\(366\) | 4490.43 | − | 3413.53i | 0.641307 | − | 0.487509i | ||||
\(367\) | 696.654 | − | 4249.40i | 0.0990874 | − | 0.604406i | −0.889871 | − | 0.456212i | \(-0.849206\pi\) |
0.988958 | − | 0.148194i | \(-0.0473460\pi\) | |||||||
\(368\) | 4230.30 | − | 7979.19i | 0.599238 | − | 1.13028i | ||||
\(369\) | 3935.41 | − | 866.248i | 0.555201 | − | 0.122209i | ||||
\(370\) | 1776.11 | + | 821.715i | 0.249555 | + | 0.115457i | ||||
\(371\) | −3379.36 | − | 8481.56i | −0.472905 | − | 1.18690i | ||||
\(372\) | 6.92533 | + | 127.730i | 0.000965219 | + | 0.0178024i | ||||
\(373\) | 5539.97 | + | 8170.85i | 0.769032 | + | 1.13424i | 0.987380 | + | 0.158366i | \(0.0506227\pi\) |
−0.218348 | + | 0.975871i | \(0.570067\pi\) | |||||||
\(374\) | −9425.79 | − | 11096.9i | −1.30320 | − | 1.53424i | ||||
\(375\) | 1010.87 | + | 1906.70i | 0.139202 | + | 0.262564i | ||||
\(376\) | −4107.13 | + | 1383.85i | −0.563322 | + | 0.189805i | ||||
\(377\) | 204.796 | − | 3777.23i | 0.0279775 | − | 0.516014i | ||||
\(378\) | −911.606 | + | 548.495i | −0.124042 | + | 0.0746337i | ||||
\(379\) | −193.108 | − | 695.512i | −0.0261723 | − | 0.0942639i | 0.949310 | − | 0.314340i | \(-0.101783\pi\) |
−0.975483 | + | 0.220076i | \(0.929369\pi\) | |||||||
\(380\) | 53.7600 | − | 193.626i | 0.00725744 | − | 0.0261389i | ||||
\(381\) | 2944.17 | + | 1771.45i | 0.395890 | + | 0.238199i | ||||
\(382\) | 3717.04 | − | 5482.23i | 0.497855 | − | 0.734280i | ||||
\(383\) | −1512.15 | + | 164.456i | −0.201742 | + | 0.0219408i | −0.208432 | − | 0.978037i | \(-0.566836\pi\) |
0.00668984 | + | 0.999978i | \(0.497871\pi\) | |||||||
\(384\) | 4741.16 | − | 515.632i | 0.630068 | − | 0.0685240i | ||||
\(385\) | −1048.80 | + | 1546.86i | −0.138835 | + | 0.204767i | ||||
\(386\) | −4383.35 | − | 2637.37i | −0.577997 | − | 0.347769i | ||||
\(387\) | 715.296 | − | 2576.26i | 0.0939549 | − | 0.338395i | ||||
\(388\) | 236.906 | + | 853.258i | 0.0309976 | + | 0.111643i | ||||
\(389\) | −446.782 | + | 268.820i | −0.0582333 | + | 0.0350378i | −0.544373 | − | 0.838843i | \(-0.683232\pi\) |
0.486139 | + | 0.873881i | \(0.338405\pi\) | |||||||
\(390\) | −57.2794 | + | 1056.46i | −0.00743706 | + | 0.137169i | ||||
\(391\) | 13313.7 | − | 4485.90i | 1.72200 | − | 0.580209i | ||||
\(392\) | −1651.55 | − | 3115.15i | −0.212795 | − | 0.401374i | ||||
\(393\) | −603.731 | − | 710.768i | −0.0774917 | − | 0.0912302i | ||||
\(394\) | −1692.01 | − | 2495.53i | −0.216351 | − | 0.319094i | ||||
\(395\) | −101.925 | − | 1879.90i | −0.0129833 | − | 0.239463i | ||||
\(396\) | −93.4328 | − | 234.499i | −0.0118565 | − | 0.0297576i | ||||
\(397\) | −6091.85 | − | 2818.39i | −0.770129 | − | 0.356299i | −0.00484124 | − | 0.999988i | \(-0.501541\pi\) |
−0.765287 | + | 0.643689i | \(0.777403\pi\) | |||||||
\(398\) | 4258.72 | − | 937.414i | 0.536357 | − | 0.118061i | ||||
\(399\) | 2113.57 | − | 3986.61i | 0.265190 | − | 0.500200i | ||||
\(400\) | −1285.68 | + | 7842.29i | −0.160710 | + | 0.980286i | ||||
\(401\) | 6370.09 | − | 4842.41i | 0.793284 | − | 0.603039i | −0.128069 | − | 0.991765i | \(-0.540878\pi\) |
0.921353 | + | 0.388726i | \(0.127085\pi\) | |||||||
\(402\) | −4325.18 | + | 2001.04i | −0.536618 | + | 0.248266i | ||||
\(403\) | 2073.75 | + | 1964.36i | 0.256330 | + | 0.242809i | ||||
\(404\) | −121.383 | − | 740.401i | −0.0149480 | − | 0.0911790i | ||||
\(405\) | 229.028 | + | 77.1686i | 0.0281000 | + | 0.00946800i | ||||
\(406\) | 1368.95 | − | 3435.80i | 0.167339 | − | 0.419990i | ||||
\(407\) | −7569.37 | + | 7170.09i | −0.921866 | + | 0.873238i | ||||
\(408\) | 5518.15 | + | 4194.79i | 0.669582 | + | 0.509003i | ||||
\(409\) | −2420.12 | − | 532.710i | −0.292585 | − | 0.0644029i | 0.0662523 | − | 0.997803i | \(-0.478896\pi\) |
−0.358838 | + | 0.933400i | \(0.616827\pi\) | |||||||
\(410\) | 2536.47 | − | 2986.16i | 0.305530 | − | 0.359697i | ||||
\(411\) | −7686.35 | − | 835.941i | −0.922482 | − | 0.100326i | ||||
\(412\) | 1090.79 | 0.130436 | ||||||||
\(413\) | −4234.29 | + | 4375.25i | −0.504494 | + | 0.521288i | ||||
\(414\) | 3482.57 | 0.413427 | ||||||||
\(415\) | −2885.34 | − | 313.799i | −0.341291 | − | 0.0371176i | ||||
\(416\) | −708.862 | + | 834.536i | −0.0835452 | + | 0.0983570i | ||||
\(417\) | −817.507 | − | 179.947i | −0.0960036 | − | 0.0211320i | ||||
\(418\) | 12186.0 | + | 9263.56i | 1.42593 | + | 1.08396i | ||||
\(419\) | −7013.49 | + | 6643.53i | −0.817736 | + | 0.774601i | −0.977136 | − | 0.212613i | \(-0.931803\pi\) |
0.159400 | + | 0.987214i | \(0.449044\pi\) | |||||||
\(420\) | −26.7790 | + | 67.2103i | −0.00311115 | + | 0.00780840i | ||||
\(421\) | 6430.64 | + | 2166.73i | 0.744442 | + | 0.250832i | 0.665861 | − | 0.746076i | \(-0.268064\pi\) |
0.0785811 | + | 0.996908i | \(0.474961\pi\) | |||||||
\(422\) | 2634.16 | + | 16067.7i | 0.303860 | + | 1.85346i | ||||
\(423\) | −1305.08 | − | 1236.24i | −0.150012 | − | 0.142099i | ||||
\(424\) | −13382.5 | + | 6191.38i | −1.53281 | + | 0.709151i | ||||
\(425\) | −9841.66 | + | 7481.43i | −1.12327 | + | 0.853889i | ||||
\(426\) | −678.254 | + | 4137.17i | −0.0771397 | + | 0.470532i | ||||
\(427\) | 4034.44 | − | 7609.76i | 0.457237 | − | 0.862440i | ||||
\(428\) | −121.854 | + | 26.8221i | −0.0137618 | + | 0.00302920i | ||||
\(429\) | −5115.76 | − | 2366.80i | −0.575737 | − | 0.266364i | ||||
\(430\) | −962.237 | − | 2415.03i | −0.107914 | − | 0.270845i | ||||
\(431\) | −430.543 | − | 7940.89i | −0.0481172 | − | 0.887469i | −0.918580 | − | 0.395235i | \(-0.870663\pi\) |
0.870463 | − | 0.492234i | \(-0.163820\pi\) | |||||||
\(432\) | 1037.17 | + | 1529.71i | 0.115511 | + | 0.170367i | ||||
\(433\) | 6179.04 | + | 7274.53i | 0.685787 | + | 0.807370i | 0.989368 | − | 0.145435i | \(-0.0464582\pi\) |
−0.303581 | + | 0.952806i | \(0.598182\pi\) | |||||||
\(434\) | 1308.16 | + | 2467.44i | 0.144685 | + | 0.272906i | ||||
\(435\) | −796.185 | + | 268.266i | −0.0877566 | + | 0.0295686i | ||||
\(436\) | −28.3464 | + | 522.819i | −0.00311364 | + | 0.0574278i | ||||
\(437\) | −12656.1 | + | 7614.92i | −1.38541 | + | 0.833573i | ||||
\(438\) | 451.983 | + | 1627.90i | 0.0493073 | + | 0.177589i | ||||
\(439\) | −667.700 | + | 2404.84i | −0.0725913 | + | 0.261450i | −0.990937 | − | 0.134330i | \(-0.957112\pi\) |
0.918345 | + | 0.395780i | \(0.129526\pi\) | |||||||
\(440\) | 2586.27 | + | 1556.11i | 0.280217 | + | 0.168601i | ||||
\(441\) | 820.708 | − | 1210.45i | 0.0886198 | − | 0.130704i | ||||
\(442\) | −12512.4 | + | 1360.81i | −1.34650 | + | 0.146441i | ||||
\(443\) | 12064.3 | − | 1312.07i | 1.29389 | − | 0.140719i | 0.564852 | − | 0.825192i | \(-0.308933\pi\) |
0.729038 | + | 0.684473i | \(0.239968\pi\) | |||||||
\(444\) | −226.507 | + | 334.072i | −0.0242107 | + | 0.0357080i | ||||
\(445\) | 3359.78 | + | 2021.51i | 0.357908 | + | 0.215346i | ||||
\(446\) | 3260.17 | − | 11742.1i | 0.346129 | − | 1.24665i | ||||
\(447\) | −2638.82 | − | 9504.17i | −0.279221 | − | 1.00566i | ||||
\(448\) | 5386.78 | − | 3241.12i | 0.568084 | − | 0.341805i | ||||
\(449\) | 2.97406 | − | 54.8534i | 0.000312594 | − | 0.00576546i | −0.998373 | − | 0.0570214i | \(-0.981840\pi\) |
0.998686 | + | 0.0512560i | \(0.0163224\pi\) | |||||||
\(450\) | −2904.05 | + | 978.490i | −0.304219 | + | 0.102503i | ||||
\(451\) | 9777.53 | + | 18442.4i | 1.02086 | + | 1.92554i | ||||
\(452\) | −454.312 | − | 534.857i | −0.0472766 | − | 0.0556583i | ||||
\(453\) | 1950.77 | + | 2877.18i | 0.202330 | + | 0.298414i | ||||
\(454\) | 820.253 | + | 15128.7i | 0.0847938 | + | 1.56393i | ||||
\(455\) | 597.980 | + | 1500.82i | 0.0616126 | + | 0.154636i | ||||
\(456\) | −6613.87 | − | 3059.90i | −0.679217 | − | 0.314239i | ||||
\(457\) | −8631.53 | + | 1899.94i | −0.883514 | + | 0.194476i | −0.633478 | − | 0.773760i | \(-0.718373\pi\) |
−0.250036 | + | 0.968237i | \(0.580442\pi\) | |||||||
\(458\) | 626.133 | − | 1181.01i | 0.0638805 | − | 0.120491i | ||||
\(459\) | −465.131 | + | 2837.17i | −0.0472995 | + | 0.288514i | ||||
\(460\) | 188.537 | − | 143.322i | 0.0191099 | − | 0.0145270i | ||||
\(461\) | −5913.24 | + | 2735.76i | −0.597412 | + | 0.276392i | −0.695202 | − | 0.718815i | \(-0.744685\pi\) |
0.0977894 | + | 0.995207i | \(0.468823\pi\) | |||||||
\(462\) | −4001.04 | − | 3789.99i | −0.402912 | − | 0.381659i | ||||
\(463\) | −628.367 | − | 3832.87i | −0.0630728 | − | 0.384727i | −0.999433 | − | 0.0336850i | \(-0.989276\pi\) |
0.936360 | − | 0.351042i | \(-0.114173\pi\) | |||||||
\(464\) | −6088.59 | − | 2051.49i | −0.609172 | − | 0.205254i | ||||
\(465\) | 234.823 | − | 589.360i | 0.0234186 | − | 0.0587762i | ||||
\(466\) | −2794.91 | + | 2647.48i | −0.277836 | + | 0.263180i | ||||
\(467\) | 1201.82 | + | 913.598i | 0.119087 | + | 0.0905273i | 0.663022 | − | 0.748600i | \(-0.269273\pi\) |
−0.543936 | + | 0.839127i | \(0.683066\pi\) | |||||||
\(468\) | −213.109 | − | 46.9088i | −0.0210490 | − | 0.00463324i | ||||
\(469\) | −4711.07 | + | 5546.29i | −0.463831 | + | 0.546064i | ||||
\(470\) | −1737.61 | − | 188.977i | −0.170532 | − | 0.0185465i | ||||
\(471\) | −1232.79 | −0.120603 | ||||||||
\(472\) | 7426.05 | + | 6445.95i | 0.724177 | + | 0.628599i | ||||
\(473\) | 13850.2 | 1.34637 | ||||||||
\(474\) | 5519.17 | + | 600.246i | 0.534818 | + | 0.0581650i | ||||
\(475\) | 8414.17 | − | 9905.92i | 0.812776 | − | 0.956873i | ||||
\(476\) | −840.547 | − | 185.018i | −0.0809379 | − | 0.0178158i | ||||
\(477\) | −4868.92 | − | 3701.25i | −0.467363 | − | 0.355280i | ||||
\(478\) | −7937.55 | + | 7518.85i | −0.759529 | + | 0.719465i | ||||
\(479\) | 1538.96 | − | 3862.51i | 0.146800 | − | 0.368439i | −0.837128 | − | 0.547007i | \(-0.815767\pi\) |
0.983928 | + | 0.178568i | \(0.0571463\pi\) | |||||||
\(480\) | 230.463 | + | 77.6519i | 0.0219149 | + | 0.00738397i | ||||
\(481\) | 1458.13 | + | 8894.19i | 0.138222 | + | 0.843118i | ||||
\(482\) | 6037.33 | + | 5718.86i | 0.570524 | + | 0.540429i | ||||
\(483\) | 4826.32 | − | 2232.89i | 0.454669 | − | 0.210352i | ||||
\(484\) | 403.517 | − | 306.745i | 0.0378960 | − | 0.0288078i | ||||
\(485\) | 710.528 | − | 4334.03i | 0.0665226 | − | 0.405770i | ||||
\(486\) | −333.826 | + | 629.663i | −0.0311578 | + | 0.0587698i | ||||
\(487\) | 6986.82 | − | 1537.91i | 0.650109 | − | 0.143100i | 0.122340 | − | 0.992488i | \(-0.460960\pi\) |
0.527768 | + | 0.849388i | \(0.323029\pi\) | |||||||
\(488\) | −12624.8 | − | 5840.83i | −1.17110 | − | 0.541808i | ||||
\(489\) | −3299.04 | − | 8279.96i | −0.305087 | − | 0.765711i | ||||
\(490\) | −76.9826 | − | 1419.86i | −0.00709739 | − | 0.130904i | ||||
\(491\) | −810.639 | − | 1195.60i | −0.0745084 | − | 0.109892i | 0.788609 | − | 0.614895i | \(-0.210802\pi\) |
−0.863117 | + | 0.505003i | \(0.831491\pi\) | |||||||
\(492\) | 523.137 | + | 615.885i | 0.0479367 | + | 0.0564354i | ||||
\(493\) | −4681.60 | − | 8830.43i | −0.427685 | − | 0.806699i | ||||
\(494\) | 12539.7 | − | 4225.11i | 1.14208 | − | 0.384811i | ||||
\(495\) | −67.7782 | + | 1250.10i | −0.00615435 | + | 0.113510i | ||||
\(496\) | 4157.07 | − | 2501.23i | 0.376327 | − | 0.226428i | ||||
\(497\) | 1712.64 | + | 6168.38i | 0.154572 | + | 0.556719i | ||||
\(498\) | 2289.69 | − | 8246.70i | 0.206031 | − | 0.742055i | ||||
\(499\) | −5809.09 | − | 3495.21i | −0.521143 | − | 0.313562i | 0.230565 | − | 0.973057i | \(-0.425942\pi\) |
−0.751709 | + | 0.659495i | \(0.770770\pi\) | |||||||
\(500\) | −242.865 | + | 358.199i | −0.0217225 | + | 0.0320383i | ||||
\(501\) | −43.8664 | + | 4.77076i | −0.00391179 | + | 0.000425433i | ||||
\(502\) | 1188.12 | − | 129.216i | 0.105634 | − | 0.0114884i | ||||
\(503\) | 618.768 | − | 912.614i | 0.0548499 | − | 0.0808975i | −0.799275 | − | 0.600965i | \(-0.794783\pi\) |
0.854125 | + | 0.520068i | \(0.174093\pi\) | |||||||
\(504\) | 2248.14 | + | 1352.66i | 0.198691 | + | 0.119548i | ||||
\(505\) | −995.500 | + | 3585.47i | −0.0877211 | + | 0.315943i | ||||
\(506\) | 4826.25 | + | 17382.6i | 0.424018 | + | 1.52717i | ||||
\(507\) | 1472.36 | − | 885.890i | 0.128974 | − | 0.0776011i | ||||
\(508\) | −37.3037 | + | 688.026i | −0.00325804 | + | 0.0600910i | ||||
\(509\) | 2002.67 | − | 674.777i | 0.174394 | − | 0.0587602i | −0.230750 | − | 0.973013i | \(-0.574118\pi\) |
0.405144 | + | 0.914253i | \(0.367221\pi\) | |||||||
\(510\) | 1309.40 | + | 2469.79i | 0.113688 | + | 0.214439i | ||||
\(511\) | 1670.13 | + | 1966.23i | 0.144583 | + | 0.170217i | ||||
\(512\) | −5624.46 | − | 8295.46i | −0.485485 | − | 0.716037i | ||||
\(513\) | −163.643 | − | 3018.22i | −0.0140839 | − | 0.259762i | ||||
\(514\) | 5183.12 | + | 13008.6i | 0.444781 | + | 1.11632i | ||||
\(515\) | −4909.86 | − | 2271.55i | −0.420106 | − | 0.194362i | ||||
\(516\) | 523.637 | − | 115.261i | 0.0446741 | − | 0.00983352i | ||||
\(517\) | 4361.84 | − | 8227.30i | 0.371051 | − | 0.699876i | ||||
\(518\) | −1425.63 | + | 8695.97i | −0.120924 | + | 0.737604i | ||||
\(519\) | 148.737 | − | 113.067i | 0.0125796 | − | 0.00956280i | ||||
\(520\) | 2368.03 | − | 1095.57i | 0.199702 | − | 0.0923921i | ||||
\(521\) | −10797.3 | − | 10227.8i | −0.907946 | − | 0.860052i | 0.0826910 | − | 0.996575i | \(-0.473649\pi\) |
−0.990637 | + | 0.136523i | \(0.956407\pi\) | |||||||
\(522\) | −400.821 | − | 2444.90i | −0.0336082 | − | 0.205001i | ||||
\(523\) | −3735.03 | − | 1258.48i | −0.312278 | − | 0.105219i | 0.158799 | − | 0.987311i | \(-0.449238\pi\) |
−0.471077 | + | 0.882092i | \(0.656134\pi\) | |||||||
\(524\) | 69.2202 | − | 173.730i | 0.00577080 | − | 0.0144836i | ||||
\(525\) | −3397.22 | + | 3218.02i | −0.282413 | + | 0.267516i | ||||
\(526\) | −12252.7 | − | 9314.25i | −1.01567 | − | 0.772093i | ||||
\(527\) | 7370.67 | + | 1622.41i | 0.609244 | + | 0.134105i | ||||
\(528\) | −6197.94 | + | 7296.78i | −0.510853 | + | 0.601423i | ||||
\(529\) | −5209.69 | − | 566.588i | −0.428182 | − | 0.0465676i | ||||
\(530\) | −5946.62 | −0.487367 | ||||||||
\(531\) | −919.415 | + | 3973.71i | −0.0751398 | + | 0.324754i | ||||
\(532\) | 904.856 | 0.0737415 | ||||||||
\(533\) | 17938.7 | + | 1950.95i | 1.45781 | + | 0.158546i | ||||
\(534\) | −7485.52 | + | 8812.64i | −0.606611 | + | 0.714158i | ||||
\(535\) | 604.345 | + | 133.026i | 0.0488376 | + | 0.0107500i | ||||
\(536\) | 9356.24 | + | 7112.43i | 0.753971 | + | 0.573154i | ||||
\(537\) | 4410.56 | − | 4177.90i | 0.354431 | − | 0.335735i | ||||
\(538\) | −5518.32 | + | 13849.9i | −0.442215 | + | 1.10988i | ||||
\(539\) | 7179.12 | + | 2418.93i | 0.573704 | + | 0.193304i | ||||
\(540\) | 7.84077 | + | 47.8266i | 0.000624839 | + | 0.00381135i | ||||
\(541\) | 10861.9 | + | 10288.9i | 0.863196 | + | 0.817662i | 0.984579 | − | 0.174943i | \(-0.0559742\pi\) |
−0.121383 | + | 0.992606i | \(0.538733\pi\) | |||||||
\(542\) | −15125.0 | + | 6997.55i | −1.19866 | + | 0.554559i | ||||
\(543\) | −3085.22 | + | 2345.33i | −0.243830 | + | 0.185355i | ||||
\(544\) | −468.044 | + | 2854.94i | −0.0368883 | + | 0.225008i | ||||
\(545\) | 1216.35 | − | 2294.28i | 0.0956014 | − | 0.180323i | ||||
\(546\) | −4652.70 | + | 1024.14i | −0.364683 | + | 0.0802729i | ||||
\(547\) | −8034.08 | − | 3716.96i | −0.627994 | − | 0.290541i | 0.0799618 | − | 0.996798i | \(-0.474520\pi\) |
−0.707955 | + | 0.706257i | \(0.750382\pi\) | |||||||
\(548\) | −573.887 | − | 1440.35i | −0.0447358 | − | 0.112278i | ||||
\(549\) | −312.367 | − | 5761.27i | −0.0242832 | − | 0.447878i | ||||
\(550\) | −8908.48 | − | 13139.0i | −0.690653 | − | 1.01864i | ||||
\(551\) | 6802.62 | + | 8008.66i | 0.525955 | + | 0.619203i | ||||
\(552\) | −4022.91 | − | 7588.01i | −0.310193 | − | 0.585086i | ||||
\(553\) | 8033.61 | − | 2706.84i | 0.617765 | − | 0.208149i | ||||
\(554\) | −696.607 | + | 12848.2i | −0.0534224 | + | 0.985318i | ||||
\(555\) | 1715.25 | − | 1032.03i | 0.131186 | − | 0.0789320i | ||||
\(556\) | −44.9080 | − | 161.744i | −0.00342540 | − | 0.0123372i | ||||
\(557\) | 6557.70 | − | 23618.7i | 0.498848 | − | 1.79669i | −0.0990090 | − | 0.995087i | \(-0.531567\pi\) |
0.597857 | − | 0.801603i | \(-0.296019\pi\) | |||||||
\(558\) | 1603.03 | + | 964.508i | 0.121616 | + | 0.0731737i | ||||
\(559\) | 6719.00 | − | 9909.78i | 0.508378 | − | 0.749801i | ||||
\(560\) | 2727.88 | − | 296.675i | 0.205847 | − | 0.0223872i | ||||
\(561\) | −14805.8 | + | 1610.23i | −1.11426 | + | 0.121184i | ||||
\(562\) | −4294.38 | + | 6333.74i | −0.322327 | + | 0.475396i | ||||
\(563\) | 13240.5 | + | 7966.55i | 0.991156 | + | 0.596359i | 0.916155 | − | 0.400824i | \(-0.131276\pi\) |
0.0750015 | + | 0.997183i | \(0.476104\pi\) | |||||||
\(564\) | 96.4411 | − | 347.349i | 0.00720018 | − | 0.0259327i | ||||
\(565\) | 931.119 | + | 3353.59i | 0.0693318 | + | 0.249711i | ||||
\(566\) | −15265.2 | + | 9184.75i | −1.13364 | + | 0.682091i | ||||
\(567\) | −58.9169 | + | 1086.66i | −0.00436380 | + | 0.0804856i | ||||
\(568\) | 9797.79 | − | 3301.26i | 0.723778 | − | 0.243869i | ||||
\(569\) | −212.868 | − | 401.512i | −0.0156835 | − | 0.0295822i | 0.875546 | − | 0.483134i | \(-0.160502\pi\) |
−0.891230 | + | 0.453552i | \(0.850157\pi\) | |||||||
\(570\) | −1902.63 | − | 2239.95i | −0.139811 | − | 0.164598i | ||||
\(571\) | −10189.7 | − | 15028.7i | −0.746806 | − | 1.10146i | −0.991276 | − | 0.131800i | \(-0.957924\pi\) |
0.244470 | − | 0.969657i | \(-0.421386\pi\) | |||||||
\(572\) | −61.1964 | − | 1128.70i | −0.00447334 | − | 0.0825058i | ||||
\(573\) | −2507.76 | − | 6293.99i | −0.182832 | − | 0.458875i | ||||
\(574\) | 16011.8 | + | 7407.83i | 1.16432 | + | 0.538670i | ||||
\(575\) | 14959.5 | − | 3292.83i | 1.08496 | − | 0.238818i | ||||
\(576\) | 1972.62 | − | 3720.75i | 0.142695 | − | 0.269152i | ||||
\(577\) | −1580.49 | + | 9640.58i | −0.114033 | + | 0.695568i | 0.866495 | + | 0.499186i | \(0.166367\pi\) |
−0.980527 | + | 0.196382i | \(0.937081\pi\) | |||||||
\(578\) | −15002.8 | + | 11404.8i | −1.07965 | + | 0.820725i | ||||
\(579\) | −4749.11 | + | 2197.17i | −0.340874 | + | 0.157705i | ||||
\(580\) | −122.317 | − | 115.865i | −0.00875679 | − | 0.00829487i | ||||
\(581\) | −2114.32 | − | 12896.8i | −0.150975 | − | 0.920910i | ||||
\(582\) | 12273.2 | + | 4135.31i | 0.874123 | + | 0.294526i | ||||
\(583\) | 11726.6 | − | 29431.6i | 0.833048 | − | 2.09079i | ||||
\(584\) | 3024.84 | − | 2865.28i | 0.214330 | − | 0.203024i | ||||
\(585\) | 861.557 | + | 654.939i | 0.0608906 | + | 0.0462878i | ||||
\(586\) | −2518.00 | − | 554.254i | −0.177505 | − | 0.0390717i | ||||
\(587\) | −12407.2 | + | 14606.8i | −0.872399 | + | 1.02707i | 0.126982 | + | 0.991905i | \(0.459471\pi\) |
−0.999382 | + | 0.0351628i | \(0.988805\pi\) | |||||||
\(588\) | 291.552 | + | 31.7082i | 0.0204480 | + | 0.00222385i | ||||
\(589\) | −7934.59 | −0.555075 | ||||||||
\(590\) | 1626.52 | + | 3616.82i | 0.113496 | + | 0.252377i | ||||
\(591\) | −3084.09 | −0.214658 | ||||||||
\(592\) | 15218.4 | + | 1655.10i | 1.05654 | + | 0.114906i | ||||
\(593\) | −1738.69 | + | 2046.95i | −0.120404 | + | 0.141751i | −0.819061 | − | 0.573706i | \(-0.805505\pi\) |
0.698657 | + | 0.715456i | \(0.253781\pi\) | |||||||
\(594\) | −3605.48 | − | 793.625i | −0.249048 | − | 0.0548196i | ||||
\(595\) | 3398.17 | + | 2583.22i | 0.234137 | + | 0.177986i | ||||
\(596\) | 1436.03 | − | 1360.28i | 0.0986946 | − | 0.0934884i | ||||
\(597\) | 1651.00 | − | 4143.71i | 0.113184 | − | 0.284072i | ||||
\(598\) | 14778.5 | + | 4979.44i | 1.01060 | + | 0.340509i | ||||
\(599\) | −2443.52 | − | 14904.8i | −0.166677 | − | 1.01669i | −0.929160 | − | 0.369678i | \(-0.879468\pi\) |
0.762483 | − | 0.647009i | \(-0.223980\pi\) | |||||||
\(600\) | 5486.63 | + | 5197.21i | 0.373318 | + | 0.353625i | ||||
\(601\) | −12143.3 | + | 5618.07i | −0.824183 | + | 0.381308i | −0.786201 | − | 0.617971i | \(-0.787955\pi\) |
−0.0379820 | + | 0.999278i | \(0.512093\pi\) | |||||||
\(602\) | 9319.07 | − | 7084.17i | 0.630925 | − | 0.479617i | ||||
\(603\) | −788.648 | + | 4810.54i | −0.0532607 | + | 0.324876i | ||||
\(604\) | −326.522 | + | 615.886i | −0.0219967 | + | 0.0414901i | ||||
\(605\) | −2455.10 | + | 540.408i | −0.164982 | + | 0.0363152i | ||||
\(606\) | −9958.87 | − | 4607.46i | −0.667577 | − | 0.308854i | ||||
\(607\) | −5392.91 | − | 13535.2i | −0.360612 | − | 0.905068i | −0.991608 | − | 0.129282i | \(-0.958733\pi\) |
0.630996 | − | 0.775786i | \(-0.282646\pi\) | |||||||
\(608\) | −164.668 | − | 3037.12i | −0.0109838 | − | 0.202585i | ||||
\(609\) | −2123.06 | − | 3131.28i | −0.141266 | − | 0.208351i | ||||
\(610\) | −3631.79 | − | 4275.68i | −0.241061 | − | 0.283798i | ||||
\(611\) | −3770.59 | − | 7112.08i | −0.249659 | − | 0.470907i | ||||
\(612\) | −546.365 | + | 184.092i | −0.0360874 | + | 0.0121593i | ||||
\(613\) | 288.405 | − | 5319.31i | 0.0190025 | − | 0.350481i | −0.973535 | − | 0.228539i | \(-0.926605\pi\) |
0.992537 | − | 0.121942i | \(-0.0389122\pi\) | |||||||
\(614\) | −26715.3 | + | 16074.1i | −1.75593 | + | 1.05651i | ||||
\(615\) | −1072.18 | − | 3861.64i | −0.0702999 | − | 0.253197i | ||||
\(616\) | −3636.01 | + | 13095.7i | −0.237823 | + | 0.856562i | ||||
\(617\) | −433.541 | − | 260.853i | −0.0282880 | − | 0.0170203i | 0.501340 | − | 0.865251i | \(-0.332841\pi\) |
−0.529628 | + | 0.848230i | \(0.677668\pi\) | |||||||
\(618\) | 8952.63 | − | 13204.1i | 0.582731 | − | 0.859463i | ||||
\(619\) | −11790.6 | + | 1282.30i | −0.765594 | + | 0.0832634i | −0.482580 | − | 0.875852i | \(-0.660300\pi\) |
−0.283015 | + | 0.959116i | \(0.591335\pi\) | |||||||
\(620\) | 126.477 | − | 13.7552i | 0.00819263 | − | 0.000891003i | ||||
\(621\) | 1999.12 | − | 2948.48i | 0.129182 | − | 0.190529i | ||||
\(622\) | 3048.63 | + | 1834.30i | 0.196525 | + | 0.118245i | ||||
\(623\) | −4723.49 | + | 17012.5i | −0.303760 | + | 1.09404i | ||||
\(624\) | 2214.08 | + | 7974.39i | 0.142042 | + | 0.511588i | ||||
\(625\) | −10595.8 | + | 6375.25i | −0.678128 | + | 0.408016i | ||||
\(626\) | −1037.49 | + | 19135.4i | −0.0662404 | + | 1.22173i | ||||
\(627\) | 14838.1 | − | 4999.54i | 0.945099 | − | 0.318441i | ||||
\(628\) | −115.798 | − | 218.419i | −0.00735804 | − | 0.0138787i | ||||
\(629\) | 15416.5 | + | 18149.8i | 0.977262 | + | 1.15052i | ||||
\(630\) | 593.800 | + | 875.789i | 0.0375517 | + | 0.0553845i | ||||
\(631\) | 576.843 | + | 10639.2i | 0.0363926 | + | 0.671222i | 0.958640 | + | 0.284622i | \(0.0918680\pi\) |
−0.922247 | + | 0.386601i | \(0.873649\pi\) | |||||||
\(632\) | −5067.66 | − | 12718.9i | −0.318957 | − | 0.800521i | ||||
\(633\) | 15115.6 | + | 6993.24i | 0.949119 | + | 0.439109i | ||||
\(634\) | −30649.3 | + | 6746.43i | −1.91994 | + | 0.422610i | ||||
\(635\) | 1600.71 | − | 3019.26i | 0.100035 | − | 0.188686i | ||||
\(636\) | 198.421 | − | 1210.31i | 0.0123709 | − | 0.0754592i | ||||
\(637\) | 5213.45 | − | 3963.16i | 0.324277 | − | 0.246509i | ||||
\(638\) | 11647.8 | − | 5388.85i | 0.722791 | − | 0.334399i | ||||
\(639\) | 3113.35 | + | 2949.12i | 0.192742 | + | 0.182575i | ||||
\(640\) | −767.364 | − | 4680.71i | −0.0473949 | − | 0.289096i | ||||
\(641\) | 22221.5 | + | 7487.29i | 1.36926 | + | 0.461357i | 0.905403 | − | 0.424553i | \(-0.139569\pi\) |
0.463857 | + | 0.885910i | \(0.346465\pi\) | |||||||
\(642\) | −675.428 | + | 1695.20i | −0.0415219 | + | 0.104212i | ||||
\(643\) | 1086.23 | − | 1028.93i | 0.0666200 | − | 0.0631058i | −0.653665 | − | 0.756784i | \(-0.726770\pi\) |
0.720285 | + | 0.693678i | \(0.244011\pi\) | |||||||
\(644\) | 848.957 | + | 645.361i | 0.0519466 | + | 0.0394888i | ||||
\(645\) | −2597.02 | − | 571.648i | −0.158539 | − | 0.0348971i | ||||
\(646\) | 22633.9 | − | 26646.7i | 1.37851 | − | 1.62291i | ||||
\(647\) | −11201.5 | − | 1218.23i | −0.680641 | − | 0.0740241i | −0.238734 | − | 0.971085i | \(-0.576732\pi\) |
−0.441907 | + | 0.897061i | \(0.645698\pi\) | |||||||
\(648\) | 1757.57 | 0.106549 | ||||||||
\(649\) | −21108.2 | + | 917.804i | −1.27669 | + | 0.0555115i | ||||
\(650\) | −13722.6 | −0.828067 | ||||||||
\(651\) | 2839.96 | + | 308.865i | 0.170978 | + | 0.0185950i | ||||
\(652\) | 1157.11 | − | 1362.26i | 0.0695030 | − | 0.0818253i | ||||
\(653\) | 12345.7 | + | 2717.49i | 0.739852 | + | 0.162854i | 0.568878 | − | 0.822422i | \(-0.307378\pi\) |
0.170974 | + | 0.985276i | \(0.445309\pi\) | |||||||
\(654\) | 6096.13 | + | 4634.16i | 0.364492 | + | 0.277079i | ||||
\(655\) | −673.361 | + | 637.841i | −0.0401685 | + | 0.0380496i | ||||
\(656\) | 11343.9 | − | 28471.2i | 0.675163 | − | 1.69453i | ||||
\(657\) | 1637.70 | + | 551.804i | 0.0972490 | + | 0.0327670i | ||||
\(658\) | −1273.29 | − | 7766.71i | −0.0754376 | − | 0.460149i | ||||
\(659\) | −3958.64 | − | 3749.83i | −0.234001 | − | 0.221658i | 0.561709 | − | 0.827335i | \(-0.310144\pi\) |
−0.795711 | + | 0.605677i | \(0.792902\pi\) | |||||||
\(660\) | −227.851 | + | 105.415i | −0.0134380 | + | 0.00621710i | ||||
\(661\) | −8698.55 | + | 6612.46i | −0.511852 | + | 0.389100i | −0.828976 | − | 0.559284i | \(-0.811076\pi\) |
0.317124 | + | 0.948384i | \(0.397283\pi\) | |||||||
\(662\) | 1563.09 | − | 9534.40i | 0.0917690 | − | 0.559766i | ||||
\(663\) | −6030.46 | + | 11374.6i | −0.353248 | + | 0.666297i | ||||
\(664\) | −20613.3 | + | 4537.34i | −1.20475 | + | 0.265185i | ||||
\(665\) | −4072.93 | − | 1884.34i | −0.237506 | − | 0.109882i | ||||
\(666\) | 2184.93 | + | 5483.77i | 0.127124 | + | 0.319057i | ||||
\(667\) | 670.448 | + | 12365.7i | 0.0389203 | + | 0.717843i | ||||
\(668\) | −4.96572 | − | 7.32388i | −0.000287619 | − | 0.000424206i | ||||
\(669\) | −8069.86 | − | 9500.57i | −0.466366 | − | 0.549048i | ||||
\(670\) | 2220.14 | + | 4187.62i | 0.128017 | + | 0.241466i | ||||
\(671\) | 28323.4 | − | 9543.27i | 1.62953 | − | 0.549052i | ||||
\(672\) | −59.2858 | + | 1093.46i | −0.00340327 | + | 0.0627697i | ||||
\(673\) | −14074.1 | + | 8468.12i | −0.806118 | + | 0.485025i | −0.858013 | − | 0.513627i | \(-0.828301\pi\) |
0.0518951 | + | 0.998653i | \(0.483474\pi\) | |||||||
\(674\) | −8297.43 | − | 29884.7i | −0.474192 | − | 1.70788i | ||||
\(675\) | −838.603 | + | 3020.38i | −0.0478191 | + | 0.172229i | ||||
\(676\) | 295.259 | + | 177.651i | 0.0167990 | + | 0.0101076i | ||||
\(677\) | −15846.5 | + | 23371.9i | −0.899602 | + | 1.32681i | 0.0451331 | + | 0.998981i | \(0.485629\pi\) |
−0.944736 | + | 0.327833i | \(0.893682\pi\) | |||||||
\(678\) | −10203.2 | + | 1109.67i | −0.577955 | + | 0.0628564i | ||||
\(679\) | 19660.2 | − | 2138.18i | 1.11118 | − | 0.120848i | ||||
\(680\) | 3868.75 | − | 5705.99i | 0.218176 | − | 0.321786i | ||||
\(681\) | 13279.4 | + | 7989.95i | 0.747236 | + | 0.449597i | ||||
\(682\) | −2592.64 | + | 9337.85i | −0.145568 | + | 0.524289i | ||||
\(683\) | 6914.00 | + | 24902.0i | 0.387345 | + | 1.39509i | 0.858397 | + | 0.512986i | \(0.171461\pi\) |
−0.471052 | + | 0.882106i | \(0.656125\pi\) | |||||||
\(684\) | 519.380 | − | 312.501i | 0.0290336 | − | 0.0174689i | ||||
\(685\) | −416.310 | + | 7678.39i | −0.0232210 | + | 0.428286i | ||||
\(686\) | 18875.6 | − | 6359.93i | 1.05054 | − | 0.353970i | ||||
\(687\) | −640.469 | − | 1208.05i | −0.0355683 | − | 0.0670889i | ||||
\(688\) | −13164.9 | − | 15498.9i | −0.729514 | − | 0.858850i | ||||
\(689\) | −15369.4 | − | 22668.1i | −0.849821 | − | 1.25339i | ||||
\(690\) | −187.518 | − | 3458.56i | −0.0103459 | − | 0.190819i | ||||
\(691\) | −4181.44 | − | 10494.6i | −0.230202 | − | 0.577764i | 0.767817 | − | 0.640669i | \(-0.221343\pi\) |
−0.998020 | + | 0.0629050i | \(0.979963\pi\) | |||||||
\(692\) | 34.0038 | + | 15.7318i | 0.00186796 | + | 0.000864211i | ||||
\(693\) | −5505.50 | + | 1211.85i | −0.301785 | + | 0.0664278i | ||||
\(694\) | 7382.04 | − | 13924.0i | 0.403773 | − | 0.761597i | ||||
\(695\) | −134.688 | + | 821.561i | −0.00735110 | + | 0.0448397i | ||||
\(696\) | −4864.08 | + | 3697.58i | −0.264903 | + | 0.201374i | ||||
\(697\) | 43269.8 | − | 20018.8i | 2.35145 | − | 1.08790i | ||||
\(698\) | 11085.1 | + | 10500.3i | 0.601111 | + | 0.569403i | ||||
\(699\) | 637.082 | + | 3886.03i | 0.0344730 | + | 0.210276i | ||||
\(700\) | −889.257 | − | 299.626i | −0.0480154 | − | 0.0161783i | ||||
\(701\) | 8722.91 | − | 21892.9i | 0.469985 | − | 1.17957i | −0.482746 | − | 0.875760i | \(-0.660361\pi\) |
0.952731 | − | 0.303814i | \(-0.0982601\pi\) | |||||||
\(702\) | −2316.92 | + | 2194.70i | −0.124567 | + | 0.117997i | ||||
\(703\) | −19931.1 | − | 15151.2i | −1.06930 | − | 0.812857i | ||||
\(704\) | 21305.2 | + | 4689.62i | 1.14058 | + | 0.251061i | ||||
\(705\) | −1157.45 | + | 1362.65i | −0.0618326 | + | 0.0727949i | ||||
\(706\) | −9621.83 | − | 1046.44i | −0.512921 | − | 0.0557836i | ||||
\(707\) | −16755.7 | −0.891318 | ||||||||
\(708\) | −790.402 | + | 210.361i | −0.0419564 | + | 0.0111665i | ||||
\(709\) | −6336.86 | −0.335664 | −0.167832 | − | 0.985816i | \(-0.553677\pi\) | ||||
−0.167832 | + | 0.985816i | \(0.553677\pi\) | |||||||
\(710\) | 4145.17 | + | 450.815i | 0.219106 | + | 0.0238293i | ||||
\(711\) | 3676.40 | − | 4328.19i | 0.193918 | − | 0.228298i | ||||
\(712\) | 27848.4 | + | 6129.91i | 1.46582 | + | 0.322652i | ||||
\(713\) | −7444.42 | − | 5659.10i | −0.391018 | − | 0.297244i | ||||
\(714\) | −9138.43 | + | 8656.38i | −0.478987 | + | 0.453721i | ||||
\(715\) | −2075.03 | + | 5207.94i | −0.108534 | + | 0.272400i | ||||
\(716\) | 1154.51 | + | 388.999i | 0.0602598 | + | 0.0203039i | ||||
\(717\) | 1809.32 | + | 11036.3i | 0.0942401 | + | 0.574839i | ||||
\(718\) | 8106.38 | + | 7678.77i | 0.421347 | + | 0.399121i | ||||
\(719\) | −20026.3 | + | 9265.15i | −1.03874 | + | 0.480573i | −0.863710 | − | 0.503990i | \(-0.831865\pi\) |
−0.175032 | + | 0.984563i | \(0.556003\pi\) | |||||||
\(720\) | 1463.32 | − | 1112.39i | 0.0757428 | − | 0.0575782i | ||||
\(721\) | 3941.01 | − | 24039.1i | 0.203566 | − | 1.24170i | ||||
\(722\) | −7794.54 | + | 14702.1i | −0.401777 | + | 0.757831i | ||||
\(723\) | 8307.46 | − | 1828.61i | 0.427327 | − | 0.0940619i | ||||
\(724\) | −705.333 | − | 326.322i | −0.0362065 | − | 0.0167509i | ||||
\(725\) | −4033.44 | − | 10123.2i | −0.206618 | − | 0.518572i | ||||
\(726\) | −401.336 | − | 7402.21i | −0.0205165 | − | 0.378405i | ||||
\(727\) | −8479.80 | − | 12506.8i | −0.432597 | − | 0.638033i | 0.547440 | − | 0.836845i | \(-0.315602\pi\) |
−0.980038 | + | 0.198811i | \(0.936292\pi\) | |||||||
\(728\) | 7606.05 | + | 8954.53i | 0.387224 | + | 0.455875i | ||||
\(729\) | 341.470 | + | 644.080i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | 1592.34 | − | 536.521i | 0.0807330 | − | 0.0272021i | ||||
\(731\) | 1712.63 | − | 31587.7i | 0.0866540 | − | 1.59824i | ||||
\(732\) | 991.408 | − | 596.510i | 0.0500594 | − | 0.0301198i | ||||
\(733\) | 6153.19 | + | 22161.8i | 0.310059 | + | 1.11673i | 0.940304 | + | 0.340335i | \(0.110541\pi\) |
−0.630245 | + | 0.776396i | \(0.717046\pi\) | |||||||
\(734\) | 3378.68 | − | 12168.9i | 0.169904 | − | 0.611938i | ||||
\(735\) | −1246.30 | − | 749.875i | −0.0625449 | − | 0.0376320i | ||||
\(736\) | 2011.64 | − | 2966.94i | 0.100747 | − | 0.148591i | ||||
\(737\) | −25103.8 | + | 2730.21i | −1.25470 | + | 0.136457i | ||||
\(738\) | 11749.0 | − | 1277.78i | 0.586024 | − | 0.0637340i | ||||
\(739\) | 20729.7 | − | 30574.0i | 1.03187 | − | 1.52190i | 0.190321 | − | 0.981722i | \(-0.439047\pi\) |
0.841552 | − | 0.540177i | \(-0.181643\pi\) | |||||||
\(740\) | 343.966 | + | 206.957i | 0.0170871 | + | 0.0102810i | ||||
\(741\) | 3621.08 | − | 13042.0i | 0.179519 | − | 0.646570i | ||||
\(742\) | −7163.59 | − | 25800.9i | −0.354425 | − | 1.27652i | ||||
\(743\) | 21048.8 | − | 12664.6i | 1.03931 | − | 0.625330i | 0.109730 | − | 0.993961i | \(-0.465001\pi\) |
0.929575 | + | 0.368632i | \(0.120174\pi\) | |||||||
\(744\) | 249.780 | − | 4606.92i | 0.0123083 | − | 0.227013i | ||||
\(745\) | −9296.58 | + | 3132.38i | −0.457182 | + | 0.154042i | ||||
\(746\) | 13561.7 | + | 25580.1i | 0.665589 | + | 1.25543i | ||||
\(747\) | −5667.63 | − | 6672.44i | −0.277601 | − | 0.326817i | ||||
\(748\) | −1676.03 | − | 2471.96i | −0.0819275 | − | 0.120834i | ||||
\(749\) | 150.855 | + | 2782.35i | 0.00735930 | + | 0.135734i | ||||
\(750\) | 2342.73 | + | 5879.81i | 0.114059 | + | 0.286267i | ||||
\(751\) | −4401.89 | − | 2036.53i | −0.213885 | − | 0.0989536i | 0.310022 | − | 0.950730i | \(-0.399664\pi\) |
−0.523906 | + | 0.851776i | \(0.675526\pi\) | |||||||
\(752\) | −13352.6 | + | 2939.13i | −0.647500 | + | 0.142525i | ||||
\(753\) | 572.623 | − | 1080.08i | 0.0277126 | − | 0.0522714i | ||||
\(754\) | 1794.86 | − | 10948.2i | 0.0866910 | − | 0.528792i | ||||
\(755\) | 2752.31 | − | 2092.25i | 0.132671 | − | 0.100854i | ||||
\(756\) | −198.062 | + | 91.6333i | −0.00952837 | + | 0.00440830i | ||||
\(757\) | 2748.68 | + | 2603.69i | 0.131972 | + | 0.125010i | 0.750839 | − | 0.660485i | \(-0.229649\pi\) |
−0.618867 | + | 0.785496i | \(0.712408\pi\) | |||||||
\(758\) | −342.492 | − | 2089.11i | −0.0164114 | − | 0.100105i | ||||
\(759\) | 17487.2 | + | 5892.13i | 0.836293 | + | 0.281780i | ||||
\(760\) | −2682.69 | + | 6733.04i | −0.128041 | + | 0.321359i | ||||
\(761\) | −24953.2 | + | 23636.9i | −1.18864 | + | 1.12594i | −0.199355 | + | 0.979927i | \(0.563885\pi\) |
−0.989283 | + | 0.146010i | \(0.953357\pi\) | |||||||
\(762\) | 8022.46 | + | 6098.51i | 0.381395 | + | 0.289929i | ||||
\(763\) | 11419.6 | + | 2513.64i | 0.541831 | + | 0.119266i | ||||
\(764\) | 879.576 | − | 1035.52i | 0.0416518 | − | 0.0490362i | ||||
\(765\) | 2842.66 | + | 309.158i | 0.134349 | + | 0.0146113i | ||||
\(766\) | −4461.06 | −0.210424 | ||||||||
\(767\) | −9583.28 | + | 15548.1i | −0.451150 | + | 0.731953i | ||||
\(768\) | 2756.90 | 0.129533 | ||||||||
\(769\) | −21900.5 | − | 2381.82i | −1.02699 | − | 0.111691i | −0.420913 | − | 0.907101i | \(-0.638290\pi\) |
−0.606072 | + | 0.795410i | \(0.707256\pi\) | |||||||
\(770\) | −3548.43 | + | 4177.54i | −0.166074 | + | 0.195517i | ||||
\(771\) | 13988.9 | + | 3079.20i | 0.653436 | + | 0.143832i | ||||
\(772\) | −835.375 | − | 635.036i | −0.0389454 | − | 0.0296055i | ||||
\(773\) | 24414.0 | − | 23126.1i | 1.13598 | − | 1.07605i | 0.139669 | − | 0.990198i | \(-0.455396\pi\) |
0.996308 | − | 0.0858557i | \(-0.0273624\pi\) | |||||||
\(774\) | 2902.48 | − | 7284.68i | 0.134790 | − | 0.338298i | ||||
\(775\) | 7797.80 | + | 2627.39i | 0.361426 | + | 0.121779i | ||||
\(776\) | −5167.19 | − | 31518.4i | −0.239035 | − | 1.45805i | ||||
\(777\) | 6543.99 | + | 6198.80i | 0.302142 | + | 0.286204i | ||||
\(778\) | −1387.91 | + | 642.113i | −0.0639574 | + | 0.0295898i | ||||
\(779\) | −39903.4 | + | 30333.8i | −1.83528 | + | 1.39515i | ||||
\(780\) | −35.1107 | + | 214.166i | −0.00161175 | + | 0.00983123i | ||||
\(781\) | −10405.4 | + | 19626.7i | −0.476741 | + | 0.899230i | ||||
\(782\) | 40240.5 | − | 8857.61i | 1.84015 | − | 0.405048i | ||||
\(783\) | −2300.04 | − | 1064.11i | −0.104977 | − | 0.0485673i | ||||
\(784\) | −4117.01 | − | 10332.9i | −0.187546 | − | 0.470705i | ||||
\(785\) | 66.3791 | + | 1224.29i | 0.00301806 | + | 0.0556648i | ||||
\(786\) | −1534.89 | − | 2263.80i | −0.0696536 | − | 0.102731i | ||||
\(787\) | −13461.1 | − | 15847.6i | −0.609701 | − | 0.717796i | 0.367521 | − | 0.930015i | \(-0.380207\pi\) |
−0.977222 | + | 0.212219i | \(0.931931\pi\) | |||||||
\(788\) | −289.695 | − | 546.422i | −0.0130964 | − | 0.0247024i | ||||
\(789\) | −14919.3 | + | 5026.90i | −0.673183 | + | 0.226822i | ||||
\(790\) | 298.930 | − | 5513.45i | 0.0134626 | − | 0.248303i | ||||
\(791\) | −13428.7 | + | 8079.79i | −0.603629 | + | 0.363191i | ||||
\(792\) | 2435.70 | + | 8772.58i | 0.109279 | + | 0.393586i | ||||
\(793\) | 6912.03 | − | 24894.9i | 0.309525 | − | 1.11481i | ||||
\(794\) | −16868.0 | − | 10149.2i | −0.753934 | − | 0.453627i | ||||
\(795\) | −3413.58 | + | 5034.65i | −0.152286 | + | 0.224604i | ||||
\(796\) | 889.241 | − | 96.7108i | 0.0395959 | − | 0.00430631i | ||||
\(797\) | 13864.5 | − | 1507.86i | 0.616194 | − | 0.0670151i | 0.205301 | − | 0.978699i | \(-0.434183\pi\) |
0.410893 | + | 0.911684i | \(0.365217\pi\) | |||||||
\(798\) | 7426.57 | − | 10953.4i | 0.329446 | − | 0.485896i | ||||
\(799\) | −18224.3 | − | 10965.2i | −0.806921 | − | 0.485508i | ||||
\(800\) | −843.855 | + | 3039.29i | −0.0372935 | + | 0.134319i | ||||
\(801\) | 3164.17 | + | 11396.3i | 0.139576 | + | 0.502708i | ||||
\(802\) | 20108.5 | − | 12098.9i | 0.885356 | − | 0.532701i | ||||
\(803\) | −484.657 | + | 8938.96i | −0.0212991 | + | 0.392838i | ||||
\(804\) | −926.383 | + | 312.135i | −0.0406356 | + | 0.0136917i | ||||
\(805\) | −2477.38 | − | 4672.83i | −0.108467 | − | 0.204591i | ||||
\(806\) | 5423.45 | + | 6384.98i | 0.237014 | + | 0.279034i | ||||
\(807\) | 8558.19 | + | 12622.4i | 0.373312 | + | 0.550594i | ||||
\(808\) | 1465.05 | + | 27021.3i | 0.0637876 | + | 1.17649i | ||||
\(809\) | −3509.70 | − | 8808.69i | −0.152527 | − | 0.382814i | 0.832780 | − | 0.553603i | \(-0.186748\pi\) |
−0.985308 | + | 0.170789i | \(0.945368\pi\) | |||||||
\(810\) | 643.298 | + | 297.621i | 0.0279052 | + | 0.0129103i | ||||
\(811\) | −5163.59 | + | 1136.59i | −0.223574 | + | 0.0492123i | −0.325344 | − | 0.945596i | \(-0.605480\pi\) |
0.101771 | + | 0.994808i | \(0.467549\pi\) | |||||||
\(812\) | 355.360 | − | 670.279i | 0.0153580 | − | 0.0289682i | ||||
\(813\) | −2757.87 | + | 16822.3i | −0.118970 | + | 0.725685i | ||||
\(814\) | −24343.3 | + | 18505.3i | −1.04820 | + | 0.796818i | ||||
\(815\) | −8045.25 | + | 3722.13i | −0.345783 | + | 0.159976i | ||||
\(816\) | 15875.1 | + | 15037.7i | 0.681052 | + | 0.645127i | ||||
\(817\) | 5380.57 | + | 32820.0i | 0.230407 | + | 1.40542i | ||||
\(818\) | −6887.33 | − | 2320.61i | −0.294389 | − | 0.0991910i | ||||
\(819\) | −1803.74 | + | 4527.05i | −0.0769571 | + | 0.193148i | ||||
\(820\) | 583.472 | − | 552.694i | 0.0248484 | − | 0.0235377i | ||||
\(821\) | 28827.1 | + | 21913.8i | 1.22542 | + | 0.931544i | 0.999096 | − | 0.0425073i | \(-0.0135346\pi\) |
0.226329 | + | 0.974051i | \(0.427328\pi\) | |||||||
\(822\) | −22145.7 | − | 4874.64i | −0.939683 | − | 0.206840i | ||||
\(823\) | 16122.6 | − | 18981.0i | 0.682865 | − | 0.803931i | −0.306113 | − | 0.951995i | \(-0.599028\pi\) |
0.988978 | + | 0.148065i | \(0.0473043\pi\) | |||||||
\(824\) | −39111.6 | − | 4253.65i | −1.65354 | − | 0.179833i | ||||
\(825\) | −16237.8 | −0.685246 | ||||||||
\(826\) | −13733.1 | + | 11414.0i | −0.578494 | + | 0.480806i | ||||
\(827\) | −8148.80 | −0.342638 | −0.171319 | − | 0.985216i | \(-0.554803\pi\) | ||||
−0.171319 | + | 0.985216i | \(0.554803\pi\) | |||||||
\(828\) | 710.176 | + | 77.2363i | 0.0298071 | + | 0.00324172i | ||||
\(829\) | −116.464 | + | 137.113i | −0.00487935 | + | 0.00574441i | −0.764596 | − | 0.644509i | \(-0.777062\pi\) |
0.759717 | + | 0.650254i | \(0.225337\pi\) | |||||||
\(830\) | −8313.15 | − | 1829.86i | −0.347655 | − | 0.0765246i | ||||
\(831\) | 10477.9 | + | 7965.09i | 0.437394 | + | 0.332498i | ||||
\(832\) | 13690.9 | − | 12968.7i | 0.570489 | − | 0.540396i | ||||
\(833\) | 6404.48 | − | 16074.0i | 0.266389 | − | 0.668586i | ||||
\(834\) | −2326.51 | − | 783.892i | −0.0965952 | − | 0.0325467i | ||||
\(835\) | 7.09986 | + | 43.3072i | 0.000294252 | + | 0.00179486i | ||||
\(836\) | 2279.56 | + | 2159.32i | 0.0943066 | + | 0.0893319i | ||||
\(837\) | 1736.79 | − | 803.523i | 0.0717229 | − | 0.0331826i | ||||
\(838\) | −22555.6 | + | 17146.3i | −0.929796 | + | 0.706813i | ||||
\(839\) | 913.917 | − | 5574.65i | 0.0376066 | − | 0.229390i | −0.961335 | − | 0.275381i | \(-0.911196\pi\) |
0.998942 | + | 0.0459906i | \(0.0146444\pi\) | |||||||
\(840\) | 1222.29 | − | 2305.48i | 0.0502059 | − | 0.0946983i | ||||
\(841\) | −15214.8 | + | 3349.02i | −0.623837 | + | 0.137317i | ||||
\(842\) | 18062.5 | + | 8356.58i | 0.739280 | + | 0.342027i | ||||
\(843\) | 2897.27 | + | 7271.59i | 0.118371 | + | 0.297090i | ||||
\(844\) | 180.818 | + | 3334.99i | 0.00737442 | + | 0.136013i | ||||
\(845\) | −959.063 | − | 1414.51i | −0.0390447 | − | 0.0575866i | ||||
\(846\) | −3413.16 | − | 4018.29i | −0.138708 | − | 0.163300i | ||||
\(847\) | −5302.22 | − | 10001.0i | −0.215096 | − | 0.405714i | ||||
\(848\) | −44081.3 | + | 14852.7i | −1.78509 | + | 0.601468i | ||||
\(849\) | −986.584 | + | 18196.5i | −0.0398816 | + | 0.735573i | ||||
\(850\) | −31067.2 | + | 18692.5i | −1.25364 | + | 0.754292i | ||||
\(851\) | −7893.67 | − | 28430.4i | −0.317969 | − | 1.14522i | ||||
\(852\) | −230.066 | + | 828.622i | −0.00925109 | + | 0.0333194i | ||||
\(853\) | 42121.3 | + | 25343.6i | 1.69075 | + | 1.01729i | 0.929497 | + | 0.368830i | \(0.120242\pi\) |
0.761250 | + | 0.648459i | \(0.224586\pi\) | |||||||
\(854\) | 14176.1 | − | 20908.1i | 0.568027 | − | 0.837777i | ||||
\(855\) | −2988.60 | + | 325.030i | −0.119542 | + | 0.0130009i | ||||
\(856\) | 4473.82 | − | 486.557i | 0.178636 | − | 0.0194278i | ||||
\(857\) | −7514.83 | + | 11083.6i | −0.299535 | + | 0.441782i | −0.947437 | − | 0.319942i | \(-0.896336\pi\) |
0.647902 | + | 0.761724i | \(0.275647\pi\) | |||||||
\(858\) | −14165.3 | − | 8522.98i | −0.563631 | − | 0.339125i | ||||
\(859\) | −8745.65 | + | 31499.0i | −0.347378 | + | 1.25114i | 0.559175 | + | 0.829050i | \(0.311118\pi\) |
−0.906553 | + | 0.422093i | \(0.861296\pi\) | |||||||
\(860\) | −142.662 | − | 513.822i | −0.00565666 | − | 0.0203735i | ||||
\(861\) | 15463.1 | − | 9303.83i | 0.612056 | − | 0.368262i | ||||
\(862\) | 1262.72 | − | 23289.4i | 0.0498936 | − | 0.920233i | ||||
\(863\) | 8795.78 | − | 2963.64i | 0.346943 | − | 0.116899i | −0.140435 | − | 0.990090i | \(-0.544850\pi\) |
0.487378 | + | 0.873191i | \(0.337953\pi\) | |||||||
\(864\) | 343.608 | + | 648.114i | 0.0135298 | + | 0.0255200i | ||||
\(865\) | −120.296 | − | 141.624i | −0.00472856 | − | 0.00556689i | ||||
\(866\) | 15709.2 | + | 23169.4i | 0.616422 | + | 0.909154i | ||||
\(867\) | 1043.64 | + | 19248.8i | 0.0408810 | + | 0.754005i | ||||
\(868\) | 212.040 | + | 532.181i | 0.00829161 | + | 0.0208104i | ||||
\(869\) | 26698.2 | + | 12351.9i | 1.04220 | + | 0.482175i | ||||
\(870\) | −2406.47 | + | 529.703i | −0.0937780 | + | 0.0206421i | ||||
\(871\) | −10224.9 | + | 19286.2i | −0.397769 | + | 0.750272i | ||||
\(872\) | 3055.18 | − | 18635.8i | 0.118648 | − | 0.723724i | ||||
\(873\) | 10546.4 | − | 8017.14i | 0.408866 | − | 0.310812i | ||||
\(874\) | −39315.5 | + | 18189.3i | −1.52159 | + | 0.703961i | ||||
\(875\) | 7016.60 | + | 6646.48i | 0.271091 | + | 0.256791i | ||||
\(876\) | 56.0664 | + | 341.990i | 0.00216245 | + | 0.0131904i | ||||
\(877\) | 44613.4 | + | 15032.0i | 1.71777 | + | 0.578785i | 0.993814 | − | 0.111058i | \(-0.0354239\pi\) |
0.723959 | + | 0.689843i | \(0.242320\pi\) | |||||||
\(878\) | −2709.35 | + | 6799.96i | −0.104141 | + | 0.261375i | ||||
\(879\) | −1914.68 | + | 1813.68i | −0.0734704 | + | 0.0695949i | ||||
\(880\) | 7580.21 | + | 5762.32i | 0.290374 | + | 0.220736i | ||||
\(881\) | −19155.2 | − | 4216.37i | −0.732525 | − | 0.161241i | −0.166982 | − | 0.985960i | \(-0.553402\pi\) |
−0.565543 | + | 0.824719i | \(0.691333\pi\) | |||||||
\(882\) | 2776.73 | − | 3269.02i | 0.106006 | − | 0.124800i | ||||
\(883\) | −1700.76 | − | 184.969i | −0.0648190 | − | 0.00704949i | 0.0756521 | − | 0.997134i | \(-0.475896\pi\) |
−0.140471 | + | 0.990085i | \(0.544862\pi\) | |||||||
\(884\) | −2581.75 | −0.0982281 | ||||||||
\(885\) | 3995.83 | + | 699.115i | 0.151772 | + | 0.0265542i | ||||
\(886\) | 35591.5 | 1.34957 | ||||||||
\(887\) | 11190.3 | + | 1217.02i | 0.423600 | + | 0.0460692i | 0.317437 | − | 0.948280i | \(-0.397178\pi\) |
0.106163 | + | 0.994349i | \(0.466143\pi\) | |||||||
\(888\) | 9424.42 | − | 11095.3i | 0.356152 | − | 0.419294i | ||||
\(889\) | 15028.1 | + | 3307.93i | 0.566958 | + | 0.124797i | ||||
\(890\) | 9154.95 | + | 6959.41i | 0.344803 | + | 0.262112i | ||||
\(891\) | −2741.59 | + | 2596.97i | −0.103083 | + | 0.0976451i | ||||
\(892\) | 925.241 | − | 2322.18i | 0.0347302 | − | 0.0871663i | ||||
\(893\) | 21190.2 | + | 7139.81i | 0.794069 | + | 0.267553i | ||||
\(894\) | −4680.15 | − | 28547.7i | −0.175087 | − | 1.06798i | ||||
\(895\) | −4386.59 | − | 4155.20i | −0.163830 | − | 0.155188i | ||||
\(896\) | 19384.0 | − | 8968.01i | 0.722740 | − | 0.334375i | ||||
\(897\) | 12699.2 | − | 9653.65i | 0.472701 | − | 0.359338i | ||||
\(898\) | 26.0652 | − | 158.991i | 0.000968604 | − | 0.00590822i | ||||
\(899\) | −3116.11 | + | 5877.61i | −0.115604 | + | 0.218052i | ||||
\(900\) | −613.905 | + | 135.131i | −0.0227372 | + | 0.00500484i | ||||
\(901\) | −65673.5 | − | 30383.8i | −2.42830 | − | 1.12345i | ||||
\(902\) | 22659.9 | + | 56872.1i | 0.836466 | + | 2.09937i | ||||
\(903\) | −648.261 | − | 11956.5i | −0.0238901 | − | 0.440627i | ||||
\(904\) | 14204.2 | + | 20949.6i | 0.522592 | + | 0.770766i | ||||
\(905\) | 2495.28 | + | 2937.67i | 0.0916531 | + | 0.107902i | ||||
\(906\) | 4775.44 | + | 9007.44i | 0.175114 | + | 0.330300i | ||||
\(907\) | 1007.12 | − | 339.337i | 0.0368696 | − | 0.0124228i | −0.300806 | − | 0.953685i | \(-0.597256\pi\) |
0.337676 | + | 0.941262i | \(0.390359\pi\) | |||||||
\(908\) | −168.255 | + | 3103.28i | −0.00614949 | + | 0.113421i | ||||
\(909\) | −9617.62 | + | 5786.73i | −0.350931 | + | 0.211148i | ||||
\(910\) | 1267.60 | + | 4565.49i | 0.0461764 | + | 0.166313i | ||||
\(911\) | −1937.99 | + | 6980.00i | −0.0704812 | + | 0.253850i | −0.990394 | − | 0.138272i | \(-0.955845\pi\) |
0.919913 | + | 0.392122i | \(0.128259\pi\) | |||||||
\(912\) | −19698.5 | − | 11852.2i | −0.715222 | − | 0.430335i | ||||
\(913\) | 25449.9 | − | 37535.8i | 0.922529 | − | 1.36063i | ||||
\(914\) | −25769.0 | + | 2802.55i | −0.932565 | + | 0.101423i | ||||
\(915\) | −5704.74 | + | 620.428i | −0.206112 | + | 0.0224161i | ||||
\(916\) | 153.876 | − | 226.949i | 0.00555043 | − | 0.00818627i | ||||
\(917\) | −3578.60 | − | 2153.17i | −0.128872 | − | 0.0775397i | ||||
\(918\) | −2255.82 | + | 8124.73i | −0.0811037 | + | 0.292109i | ||||
\(919\) | −804.997 | − | 2899.34i | −0.0288949 | − | 0.104070i | 0.947696 | − | 0.319173i | \(-0.103405\pi\) |
−0.976591 | + | 0.215103i | \(0.930991\pi\) | |||||||
\(920\) | −7319.10 | + | 4403.76i | −0.262286 | + | 0.157813i | ||||
\(921\) | −1726.60 | + | 31845.3i | −0.0617737 | + | 1.13935i | ||||
\(922\) | −18108.5 | + | 6101.45i | −0.646823 | + | 0.217940i | ||||
\(923\) | 8994.96 | + | 16966.3i | 0.320772 | + | 0.605040i | ||||
\(924\) | −731.852 | − | 861.602i | −0.0260564 | − | 0.0306760i | ||||
\(925\) | 14570.5 | + | 21489.8i | 0.517917 | + | 0.763871i | ||||
\(926\) | −616.712 | − | 11374.6i | −0.0218860 | − | 0.403663i | ||||
\(927\) | −6040.02 | − | 15159.3i | −0.214002 | − | 0.537106i | ||||
\(928\) | −2314.44 | − | 1070.77i | −0.0818699 | − | 0.0378770i | ||||
\(929\) | −19278.8 | + | 4243.59i | −0.680858 | + | 0.149868i | −0.541917 | − | 0.840432i | \(-0.682301\pi\) |
−0.138942 | + | 0.990301i | \(0.544370\pi\) | |||||||
\(930\) | 871.546 | − | 1643.91i | 0.0307302 | − | 0.0579634i | ||||
\(931\) | −2943.02 | + | 17951.6i | −0.103602 | + | 0.631945i | ||||
\(932\) | −628.662 | + | 477.897i | −0.0220950 | + | 0.0167962i | ||||
\(933\) | 3303.01 | − | 1528.14i | 0.115901 | − | 0.0536216i | ||||
\(934\) | 3214.39 | + | 3044.83i | 0.112610 | + | 0.106670i | ||||
\(935\) | 2396.35 | + | 14617.1i | 0.0838170 | + | 0.511261i | ||||
\(936\) | 7458.34 | + | 2513.01i | 0.260452 | + | 0.0877567i | ||||
\(937\) | 11702.4 | − | 29370.9i | 0.408006 | − | 1.02402i | −0.571138 | − | 0.820854i | \(-0.693498\pi\) |
0.979145 | − | 0.203165i | \(-0.0651228\pi\) | |||||||
\(938\) | −15494.6 | + | 14677.2i | −0.539355 | + | 0.510905i | ||||
\(939\) | 15605.2 | + | 11862.8i | 0.542340 | + | 0.412276i | ||||
\(940\) | −350.148 | − | 77.0734i | −0.0121495 | − | 0.00267432i | ||||
\(941\) | −5726.14 | + | 6741.33i | −0.198371 | + | 0.233540i | −0.852349 | − | 0.522973i | \(-0.824823\pi\) |
0.653979 | + | 0.756513i | \(0.273099\pi\) | |||||||
\(942\) | −3594.39 | − | 390.913i | −0.124322 | − | 0.0135209i | ||||
\(943\) | −59072.9 | −2.03996 | ||||||||
\(944\) | 21090.7 | + | 22748.4i | 0.727166 | + | 0.784319i | ||||
\(945\) | 1082.34 | 0.0372577 | ||||||||
\(946\) | 40382.5 | + | 4391.86i | 1.38790 | + | 0.150943i | ||||
\(947\) | 69.4508 | − | 81.7638i | 0.00238316 | − | 0.00280567i | −0.760969 | − | 0.648788i | \(-0.775276\pi\) |
0.763352 | + | 0.645982i | \(0.223552\pi\) | |||||||
\(948\) | 1112.17 | + | 244.808i | 0.0381031 | + | 0.00838713i | ||||
\(949\) | 6160.67 | + | 4683.22i | 0.210731 | + | 0.160194i | ||||
\(950\) | 27674.0 | − | 26214.2i | 0.945117 | − | 0.895263i | ||||
\(951\) | −11882.0 | + | 29821.7i | −0.405154 | + | 1.01686i | ||||
\(952\) | 29417.3 | + | 9911.85i | 1.00149 | + | 0.337442i | ||||
\(953\) | 309.560 | + | 1888.23i | 0.0105222 | + | 0.0641823i | 0.991566 | − | 0.129605i | \(-0.0413710\pi\) |
−0.981044 | + | 0.193788i | \(0.937923\pi\) | |||||||
\(954\) | −13022.4 | − | 12335.5i | −0.441946 | − | 0.418634i | ||||
\(955\) | −6115.58 | + | 2829.37i | −0.207220 | + | 0.0958704i | ||||
\(956\) | −1785.40 | + | 1357.23i | −0.0604018 | + | 0.0459162i | ||||
\(957\) | 2123.85 | − | 12954.9i | 0.0717390 | − | 0.437588i | ||||
\(958\) | 5711.88 | − | 10773.7i | 0.192633 | − | 0.363344i | ||||
\(959\) | −33816.1 | + | 7443.49i | −1.13866 | + | 0.250639i | ||||
\(960\) | −3801.32 | − | 1758.68i | −0.127799 | − | 0.0591261i | ||||
\(961\) | 9167.43 | + | 23008.5i | 0.307725 | + | 0.772331i | ||||
\(962\) | 1431.08 | + | 26394.8i | 0.0479625 | + | 0.884616i | ||||
\(963\) | 1047.50 | + | 1544.95i | 0.0350522 | + | 0.0516981i | ||||
\(964\) | 1104.32 | + | 1300.10i | 0.0368959 | + | 0.0434373i | ||||
\(965\) | 2437.74 | + | 4598.07i | 0.0813199 | + | 0.153386i | ||||
\(966\) | 14779.9 | − | 4979.94i | 0.492274 | − | 0.165866i | ||||
\(967\) | 726.265 | − | 13395.2i | 0.0241521 | − | 0.445460i | −0.961300 | − | 0.275505i | \(-0.911155\pi\) |
0.985452 | − | 0.169955i | \(-0.0543623\pi\) | |||||||
\(968\) | −15664.8 | + | 9425.17i | −0.520128 | + | 0.312951i | ||||
\(969\) | −9567.46 | − | 34458.9i | −0.317184 | − | 1.14239i | ||||
\(970\) | 3445.96 | − | 12411.2i | 0.114065 | − | 0.410826i | ||||
\(971\) | 32250.2 | + | 19404.3i | 1.06587 | + | 0.641312i | 0.936637 | − | 0.350302i | \(-0.113921\pi\) |
0.129233 | + | 0.991614i | \(0.458749\pi\) | |||||||
\(972\) | −82.0396 | + | 120.999i | −0.00270722 | + | 0.00399286i | ||||
\(973\) | −3726.80 | + | 405.314i | −0.122791 | + | 0.0133543i | ||||
\(974\) | 20858.8 | − | 2268.53i | 0.686201 | − | 0.0746289i | ||||
\(975\) | −7877.26 | + | 11618.1i | −0.258743 | + | 0.381617i | ||||
\(976\) | −37601.1 | − | 22623.8i | −1.23318 | − | 0.741979i | ||||
\(977\) | 12254.3 | − | 44136.1i | 0.401281 | − | 1.44528i | −0.436713 | − | 0.899601i | \(-0.643857\pi\) |
0.837993 | − | 0.545681i | \(-0.183729\pi\) | |||||||
\(978\) | −6993.31 | − | 25187.6i | −0.228652 | − | 0.823529i | ||||
\(979\) | −52497.6 | + | 31586.8i | −1.71382 | + | 1.03117i | ||||
\(980\) | 15.7911 | − | 291.250i | 0.000514723 | − | 0.00949351i | ||||
\(981\) | 7422.86 | − | 2501.05i | 0.241584 | − | 0.0813991i | ||||
\(982\) | −1984.42 | − | 3743.02i | −0.0644862 | − | 0.121634i | ||||
\(983\) | −16156.2 | − | 19020.5i | −0.524214 | − | 0.617152i | 0.434795 | − | 0.900530i | \(-0.356821\pi\) |
−0.959008 | + | 0.283377i | \(0.908545\pi\) | |||||||
\(984\) | −16356.0 | − | 24123.3i | −0.529889 | − | 0.781528i | ||||
\(985\) | 166.062 | + | 3062.83i | 0.00537175 | + | 0.0990762i | ||||
\(986\) | −10849.8 | − | 27231.0i | −0.350435 | − | 0.879526i | ||||
\(987\) | −7306.52 | − | 3380.36i | −0.235632 | − | 0.109015i | ||||
\(988\) | 2650.84 | − | 583.493i | 0.0853587 | − | 0.0187889i | ||||
\(989\) | −18359.7 | + | 34630.1i | −0.590298 | + | 1.11342i | ||||
\(990\) | −594.019 | + | 3623.36i | −0.0190699 | + | 0.116321i | ||||
\(991\) | 9055.36 | − | 6883.71i | 0.290265 | − | 0.220654i | −0.449900 | − | 0.893079i | \(-0.648540\pi\) |
0.740165 | + | 0.672425i | \(0.234747\pi\) | |||||||
\(992\) | 1747.66 | − | 808.555i | 0.0559358 | − | 0.0258787i | ||||
\(993\) | −7174.94 | − | 6796.46i | −0.229295 | − | 0.217200i | ||||
\(994\) | 3037.50 | + | 18527.9i | 0.0969252 | + | 0.591218i | ||||
\(995\) | −4204.04 | − | 1416.51i | −0.133947 | − | 0.0451320i | ||||
\(996\) | 649.815 | − | 1630.91i | 0.0206729 | − | 0.0518850i | ||||
\(997\) | 40017.3 | − | 37906.4i | 1.27117 | − | 1.20412i | 0.303241 | − | 0.952914i | \(-0.401931\pi\) |
0.967933 | − | 0.251207i | \(-0.0808274\pi\) | |||||||
\(998\) | −15829.0 | − | 12032.9i | −0.502062 | − | 0.381658i | ||||
\(999\) | 5897.01 | + | 1298.03i | 0.186760 | + | 0.0411090i |
(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 | 177.4.e.b.4.11 | ✓ | 420 | |
59.15 | even | 29 | inner | 177.4.e.b.133.11 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.b.4.11 | ✓ | 420 | 1.1 | even | 1 | trivial | |
177.4.e.b.133.11 | yes | 420 | 59.15 | even | 29 | inner |