Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(7,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.g (of order \(6\), degree \(2\), 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: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 76.11 |
Dual form | 76.3.g.c.7.11 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12526 | + | 1.65342i | 0.562629 | + | 0.826710i | ||||
\(3\) | −3.58197 | − | 2.06805i | −1.19399 | − | 0.689351i | −0.234782 | − | 0.972048i | \(-0.575438\pi\) |
−0.959209 | + | 0.282697i | \(0.908771\pi\) | |||||||
\(4\) | −1.46759 | + | 3.72105i | −0.366898 | + | 0.930261i | ||||
\(5\) | −3.72976 | + | 6.46014i | −0.745952 | + | 1.29203i | 0.203796 | + | 0.979013i | \(0.434672\pi\) |
−0.949749 | + | 0.313014i | \(0.898661\pi\) | |||||||
\(6\) | −0.611284 | − | 8.24960i | −0.101881 | − | 1.37493i | ||||
\(7\) | 3.06851i | 0.438359i | 0.975685 | + | 0.219179i | \(0.0703380\pi\) | ||||
−0.975685 | + | 0.219179i | \(0.929662\pi\) | |||||||
\(8\) | −7.80387 | + | 1.76059i | −0.975483 | + | 0.220074i | ||||
\(9\) | 4.05369 | + | 7.02120i | 0.450410 | + | 0.780133i | ||||
\(10\) | −14.8783 | + | 1.10246i | −1.48783 | + | 0.110246i | ||||
\(11\) | − | 6.31466i | − | 0.574060i | −0.957922 | − | 0.287030i | \(-0.907332\pi\) | ||
0.957922 | − | 0.287030i | \(-0.0926679\pi\) | |||||||
\(12\) | 12.9522 | − | 10.2936i | 1.07935 | − | 0.857802i | ||||
\(13\) | 8.74659 | + | 15.1495i | 0.672815 | + | 1.16535i | 0.977102 | + | 0.212769i | \(0.0682483\pi\) |
−0.304288 | + | 0.952580i | \(0.598418\pi\) | |||||||
\(14\) | −5.07354 | + | 3.45287i | −0.362395 | + | 0.246633i | ||||
\(15\) | 26.7198 | − | 15.4267i | 1.78132 | − | 1.02845i | ||||
\(16\) | −11.6924 | − | 10.9219i | −0.730772 | − | 0.682621i | ||||
\(17\) | 10.6765 | − | 18.4922i | 0.628030 | − | 1.08778i | −0.359917 | − | 0.932984i | \(-0.617195\pi\) |
0.987947 | − | 0.154795i | \(-0.0494717\pi\) | |||||||
\(18\) | −7.04754 | + | 14.6031i | −0.391530 | + | 0.811284i | ||||
\(19\) | −6.62587 | + | 17.8072i | −0.348730 | + | 0.937223i | ||||
\(20\) | −18.5647 | − | 23.3594i | −0.928235 | − | 1.16797i | ||||
\(21\) | 6.34585 | − | 10.9913i | 0.302183 | − | 0.523397i | ||||
\(22\) | 10.4408 | − | 7.10562i | 0.474581 | − | 0.322983i | ||||
\(23\) | 5.19772 | − | 3.00090i | 0.225988 | − | 0.130474i | −0.382732 | − | 0.923859i | \(-0.625017\pi\) |
0.608720 | + | 0.793385i | \(0.291683\pi\) | |||||||
\(24\) | 31.5942 | + | 9.83242i | 1.31643 | + | 0.409684i | ||||
\(25\) | −15.3222 | − | 26.5389i | −0.612889 | − | 1.06156i | ||||
\(26\) | −15.2064 | + | 31.5089i | −0.584861 | + | 1.21188i | ||||
\(27\) | 3.69197i | 0.136740i | ||||||||
\(28\) | −11.4181 | − | 4.50332i | −0.407788 | − | 0.160833i | ||||
\(29\) | 18.2919 | + | 31.6825i | 0.630755 | + | 1.09250i | 0.987398 | + | 0.158258i | \(0.0505879\pi\) |
−0.356643 | + | 0.934241i | \(0.616079\pi\) | |||||||
\(30\) | 55.5735 | + | 26.8201i | 1.85245 | + | 0.894002i | ||||
\(31\) | 53.3857i | 1.72212i | 0.508505 | + | 0.861059i | \(0.330198\pi\) | ||||
−0.508505 | + | 0.861059i | \(0.669802\pi\) | |||||||
\(32\) | 4.90164 | − | 31.6224i | 0.153176 | − | 0.988199i | ||||
\(33\) | −13.0591 | + | 22.6189i | −0.395729 | + | 0.685423i | ||||
\(34\) | 42.5893 | − | 3.15580i | 1.25263 | − | 0.0928178i | ||||
\(35\) | −19.8230 | − | 11.4448i | −0.566372 | − | 0.326995i | ||||
\(36\) | −32.0753 | + | 4.77972i | −0.890982 | + | 0.132770i | ||||
\(37\) | −39.2040 | −1.05957 | −0.529784 | − | 0.848133i | \(-0.677727\pi\) | ||||
−0.529784 | + | 0.848133i | \(0.677727\pi\) | |||||||
\(38\) | −36.8986 | + | 9.08239i | −0.971017 | + | 0.239010i | ||||
\(39\) | − | 72.3537i | − | 1.85522i | ||||||
\(40\) | 17.7329 | − | 56.9806i | 0.443322 | − | 1.42452i | ||||
\(41\) | 18.2738 | − | 31.6512i | 0.445704 | − | 0.771981i | −0.552397 | − | 0.833581i | \(-0.686287\pi\) |
0.998101 | + | 0.0615997i | \(0.0196202\pi\) | |||||||
\(42\) | 25.3140 | − | 1.87573i | 0.602714 | − | 0.0446603i | ||||
\(43\) | −31.7551 | − | 18.3338i | −0.738491 | − | 0.426368i | 0.0830292 | − | 0.996547i | \(-0.473541\pi\) |
−0.821521 | + | 0.570179i | \(0.806874\pi\) | |||||||
\(44\) | 23.4971 | + | 9.26734i | 0.534026 | + | 0.210621i | ||||
\(45\) | −60.4772 | −1.34394 | ||||||||
\(46\) | 10.8105 | + | 5.21722i | 0.235011 | + | 0.113418i | ||||
\(47\) | −0.0577813 | + | 0.0333600i | −0.00122939 | + | 0.000709788i | −0.500615 | − | 0.865670i | \(-0.666893\pi\) |
0.499385 | + | 0.866380i | \(0.333559\pi\) | |||||||
\(48\) | 19.2945 | + | 63.3025i | 0.401970 | + | 1.31880i | ||||
\(49\) | 39.5842 | 0.807842 | ||||||||
\(50\) | 26.6385 | − | 55.1972i | 0.532769 | − | 1.10394i | ||||
\(51\) | −76.4859 | + | 44.1592i | −1.49972 | + | 0.865866i | ||||
\(52\) | −69.2086 | + | 10.3131i | −1.33093 | + | 0.198330i | ||||
\(53\) | −31.6606 | − | 54.8377i | −0.597369 | − | 1.03467i | −0.993208 | − | 0.116354i | \(-0.962879\pi\) |
0.395839 | − | 0.918320i | \(-0.370454\pi\) | |||||||
\(54\) | −6.10438 | + | 4.15442i | −0.113044 | + | 0.0769337i | ||||
\(55\) | 40.7936 | + | 23.5522i | 0.741701 | + | 0.428221i | ||||
\(56\) | −5.40240 | − | 23.9463i | −0.0964714 | − | 0.427612i | ||||
\(57\) | 60.5600 | − | 50.0824i | 1.06246 | − | 0.878639i | ||||
\(58\) | −31.8013 | + | 65.8951i | −0.548299 | + | 1.13612i | ||||
\(59\) | 41.8467 | + | 24.1602i | 0.709266 | + | 0.409495i | 0.810789 | − | 0.585339i | \(-0.199038\pi\) |
−0.101524 | + | 0.994833i | \(0.532372\pi\) | |||||||
\(60\) | 18.1897 | + | 122.066i | 0.303161 | + | 2.03443i | ||||
\(61\) | 29.8565 | + | 51.7130i | 0.489451 | + | 0.847754i | 0.999926 | − | 0.0121386i | \(-0.00386392\pi\) |
−0.510475 | + | 0.859892i | \(0.670531\pi\) | |||||||
\(62\) | −88.2689 | + | 60.0726i | −1.42369 | + | 0.968913i | ||||
\(63\) | −21.5446 | + | 12.4388i | −0.341978 | + | 0.197441i | ||||
\(64\) | 57.8006 | − | 27.4788i | 0.903135 | − | 0.429357i | ||||
\(65\) | −130.491 | −2.00755 | ||||||||
\(66\) | −52.0934 | + | 3.86005i | −0.789294 | + | 0.0584856i | ||||
\(67\) | 58.4513 | − | 33.7469i | 0.872408 | − | 0.503685i | 0.00426017 | − | 0.999991i | \(-0.498644\pi\) |
0.868148 | + | 0.496306i | \(0.165311\pi\) | |||||||
\(68\) | 53.1418 | + | 66.8668i | 0.781496 | + | 0.983335i | ||||
\(69\) | −24.8241 | −0.359770 | ||||||||
\(70\) | −3.38290 | − | 45.6541i | −0.0483272 | − | 0.652201i | ||||
\(71\) | −30.0423 | − | 17.3449i | −0.423131 | − | 0.244295i | 0.273285 | − | 0.961933i | \(-0.411890\pi\) |
−0.696416 | + | 0.717638i | \(0.745223\pi\) | |||||||
\(72\) | −43.9959 | − | 47.6556i | −0.611054 | − | 0.661883i | ||||
\(73\) | −17.7736 | + | 30.7848i | −0.243474 | + | 0.421710i | −0.961702 | − | 0.274099i | \(-0.911620\pi\) |
0.718227 | + | 0.695809i | \(0.244954\pi\) | |||||||
\(74\) | −44.1146 | − | 64.8207i | −0.596144 | − | 0.875955i | ||||
\(75\) | 126.749i | 1.68998i | ||||||||
\(76\) | −56.5375 | − | 50.7889i | −0.743914 | − | 0.668275i | ||||
\(77\) | 19.3766 | 0.251644 | ||||||||
\(78\) | 119.631 | − | 81.4165i | 1.53373 | − | 1.04380i | ||||
\(79\) | 65.0141 | + | 37.5359i | 0.822963 | + | 0.475138i | 0.851437 | − | 0.524456i | \(-0.175731\pi\) |
−0.0284739 | + | 0.999595i | \(0.509065\pi\) | |||||||
\(80\) | 114.167 | − | 34.7980i | 1.42709 | − | 0.434975i | ||||
\(81\) | 44.1184 | − | 76.4153i | 0.544672 | − | 0.943399i | ||||
\(82\) | 72.8955 | − | 5.40146i | 0.888970 | − | 0.0658714i | ||||
\(83\) | − | 53.5823i | − | 0.645570i | −0.946472 | − | 0.322785i | \(-0.895381\pi\) | ||
0.946472 | − | 0.322785i | \(-0.104619\pi\) | |||||||
\(84\) | 31.5861 | + | 39.7440i | 0.376025 | + | 0.473142i | ||||
\(85\) | 79.6416 | + | 137.943i | 0.936960 | + | 1.62286i | ||||
\(86\) | −5.41919 | − | 73.1348i | −0.0630138 | − | 0.850405i | ||||
\(87\) | − | 151.314i | − | 1.73925i | ||||||
\(88\) | 11.1175 | + | 49.2788i | 0.126336 | + | 0.559986i | ||||
\(89\) | 36.5343 | + | 63.2793i | 0.410498 | + | 0.711003i | 0.994944 | − | 0.100429i | \(-0.0320216\pi\) |
−0.584446 | + | 0.811432i | \(0.698688\pi\) | |||||||
\(90\) | −68.0524 | − | 99.9941i | −0.756138 | − | 1.11105i | ||||
\(91\) | −46.4866 | + | 26.8390i | −0.510841 | + | 0.294934i | ||||
\(92\) | 3.53838 | + | 23.7450i | 0.0384606 | + | 0.258098i | ||||
\(93\) | 110.404 | − | 191.226i | 1.18714 | − | 2.05619i | ||||
\(94\) | −0.120177 | − | 0.0579980i | −0.00127848 | − | 0.000617000i | ||||
\(95\) | −90.3243 | − | 109.221i | −0.950782 | − | 1.14969i | ||||
\(96\) | −82.9543 | + | 103.134i | −0.864107 | + | 1.07431i | ||||
\(97\) | −59.7660 | + | 103.518i | −0.616144 | + | 1.06719i | 0.374039 | + | 0.927413i | \(0.377973\pi\) |
−0.990183 | + | 0.139780i | \(0.955361\pi\) | |||||||
\(98\) | 44.5425 | + | 65.4493i | 0.454515 | + | 0.667850i | ||||
\(99\) | 44.3365 | − | 25.5977i | 0.447843 | − | 0.258562i | ||||
\(100\) | 121.239 | − | 18.0665i | 1.21239 | − | 0.180665i | ||||
\(101\) | −13.0976 | − | 22.6857i | −0.129679 | − | 0.224611i | 0.793873 | − | 0.608083i | \(-0.208061\pi\) |
−0.923552 | + | 0.383473i | \(0.874728\pi\) | |||||||
\(102\) | −159.080 | − | 76.7729i | −1.55961 | − | 0.752675i | ||||
\(103\) | − | 130.318i | − | 1.26522i | −0.774469 | − | 0.632612i | \(-0.781983\pi\) | ||
0.774469 | − | 0.632612i | \(-0.218017\pi\) | |||||||
\(104\) | −94.9294 | − | 102.826i | −0.912783 | − | 0.988710i | ||||
\(105\) | 47.3370 | + | 81.9901i | 0.450828 | + | 0.780858i | ||||
\(106\) | 55.0434 | − | 114.055i | 0.519278 | − | 1.07599i | ||||
\(107\) | 154.669i | 1.44550i | 0.691109 | + | 0.722751i | \(0.257123\pi\) | ||||
−0.691109 | + | 0.722751i | \(0.742877\pi\) | |||||||
\(108\) | −13.7380 | − | 5.41830i | −0.127204 | − | 0.0501695i | ||||
\(109\) | 44.6984 | − | 77.4198i | 0.410077 | − | 0.710274i | −0.584821 | − | 0.811162i | \(-0.698835\pi\) |
0.994898 | + | 0.100889i | \(0.0321686\pi\) | |||||||
\(110\) | 6.96165 | + | 93.9511i | 0.0632877 | + | 0.854101i | ||||
\(111\) | 140.428 | + | 81.0760i | 1.26512 | + | 0.730415i | ||||
\(112\) | 33.5141 | − | 35.8781i | 0.299233 | − | 0.320340i | ||||
\(113\) | −93.6713 | −0.828949 | −0.414475 | − | 0.910061i | \(-0.636035\pi\) | ||||
−0.414475 | + | 0.910061i | \(0.636035\pi\) | |||||||
\(114\) | 150.953 | + | 43.7755i | 1.32415 | + | 0.383996i | ||||
\(115\) | 44.7706i | 0.389310i | ||||||||
\(116\) | −144.737 | + | 21.5680i | −1.24773 | + | 0.185931i | ||||
\(117\) | −70.9120 | + | 122.823i | −0.606085 | + | 1.04977i | ||||
\(118\) | 7.14136 | + | 96.3765i | 0.0605200 | + | 0.816750i | ||||
\(119\) | 56.7437 | + | 32.7610i | 0.476838 | + | 0.275302i | ||||
\(120\) | −181.358 | + | 167.430i | −1.51131 | + | 1.39525i | ||||
\(121\) | 81.1251 | 0.670455 | ||||||||
\(122\) | −51.9070 | + | 107.556i | −0.425467 | + | 0.881604i | ||||
\(123\) | −130.913 | + | 75.5826i | −1.06433 | + | 0.614493i | ||||
\(124\) | −198.650 | − | 78.3483i | −1.60202 | − | 0.631841i | ||||
\(125\) | 42.1051 | 0.336841 | ||||||||
\(126\) | −44.8098 | − | 21.6255i | −0.355633 | − | 0.171631i | ||||
\(127\) | 136.963 | − | 79.0756i | 1.07845 | − | 0.622643i | 0.147971 | − | 0.988992i | \(-0.452726\pi\) |
0.930477 | + | 0.366349i | \(0.119392\pi\) | |||||||
\(128\) | 110.475 | + | 64.6479i | 0.863083 | + | 0.505062i | ||||
\(129\) | 75.8307 | + | 131.343i | 0.587835 | + | 1.01816i | ||||
\(130\) | −146.836 | − | 215.756i | −1.12951 | − | 1.65966i | ||||
\(131\) | 9.89072 | + | 5.71041i | 0.0755017 | + | 0.0435909i | 0.537276 | − | 0.843407i | \(-0.319454\pi\) |
−0.461774 | + | 0.886998i | \(0.652787\pi\) | |||||||
\(132\) | −65.0008 | − | 81.7887i | −0.492430 | − | 0.619611i | ||||
\(133\) | −54.6417 | − | 20.3316i | −0.410840 | − | 0.152869i | ||||
\(134\) | 121.571 | + | 58.6706i | 0.907243 | + | 0.437840i | ||||
\(135\) | −23.8506 | − | 13.7702i | −0.176671 | − | 0.102001i | ||||
\(136\) | −50.7607 | + | 163.108i | −0.373241 | + | 1.19932i | ||||
\(137\) | −2.90159 | − | 5.02570i | −0.0211795 | − | 0.0366839i | 0.855241 | − | 0.518230i | \(-0.173409\pi\) |
−0.876421 | + | 0.481546i | \(0.840075\pi\) | |||||||
\(138\) | −27.9335 | − | 41.0447i | −0.202417 | − | 0.297425i | ||||
\(139\) | 62.5836 | − | 36.1327i | 0.450242 | − | 0.259947i | −0.257690 | − | 0.966228i | \(-0.582961\pi\) |
0.707932 | + | 0.706280i | \(0.249628\pi\) | |||||||
\(140\) | 71.6787 | − | 56.9660i | 0.511991 | − | 0.406900i | ||||
\(141\) | 0.275961 | 0.00195717 | ||||||||
\(142\) | −5.12688 | − | 69.1900i | −0.0361048 | − | 0.487254i | ||||
\(143\) | 95.6642 | − | 55.2318i | 0.668981 | − | 0.386236i | ||||
\(144\) | 29.2879 | − | 126.368i | 0.203388 | − | 0.877559i | ||||
\(145\) | −272.897 | −1.88205 | ||||||||
\(146\) | −70.9001 | + | 5.25360i | −0.485617 | + | 0.0359836i | ||||
\(147\) | −141.790 | − | 81.8623i | −0.964556 | − | 0.556886i | ||||
\(148\) | 57.5355 | − | 145.880i | 0.388753 | − | 0.985675i | ||||
\(149\) | 42.7490 | − | 74.0435i | 0.286906 | − | 0.496936i | −0.686163 | − | 0.727447i | \(-0.740706\pi\) |
0.973070 | + | 0.230511i | \(0.0740398\pi\) | |||||||
\(150\) | −209.569 | + | 142.625i | −1.39713 | + | 0.950834i | ||||
\(151\) | 193.207i | 1.27952i | 0.768576 | + | 0.639759i | \(0.220966\pi\) | ||||
−0.768576 | + | 0.639759i | \(0.779034\pi\) | |||||||
\(152\) | 20.3561 | − | 150.631i | 0.133922 | − | 0.990992i | ||||
\(153\) | 173.117 | 1.13148 | ||||||||
\(154\) | 21.8037 | + | 32.0377i | 0.141582 | + | 0.208037i | ||||
\(155\) | −344.879 | − | 199.116i | −2.22502 | − | 1.28462i | ||||
\(156\) | 269.231 | + | 106.186i | 1.72584 | + | 0.680677i | ||||
\(157\) | −39.5456 | + | 68.4951i | −0.251883 | + | 0.436274i | −0.964044 | − | 0.265742i | \(-0.914383\pi\) |
0.712161 | + | 0.702016i | \(0.247717\pi\) | |||||||
\(158\) | 11.0950 | + | 149.733i | 0.0702216 | + | 0.947678i | ||||
\(159\) | 261.903i | 1.64719i | ||||||||
\(160\) | 186.003 | + | 149.609i | 1.16252 | + | 0.935057i | ||||
\(161\) | 9.20831 | + | 15.9493i | 0.0571945 | + | 0.0990637i | ||||
\(162\) | 175.991 | − | 13.0407i | 1.08637 | − | 0.0804981i | ||||
\(163\) | − | 161.432i | − | 0.990381i | −0.868785 | − | 0.495190i | \(-0.835098\pi\) | ||
0.868785 | − | 0.495190i | \(-0.164902\pi\) | |||||||
\(164\) | 90.9571 | + | 114.449i | 0.554617 | + | 0.697859i | ||||
\(165\) | −97.4143 | − | 168.727i | −0.590390 | − | 1.02258i | ||||
\(166\) | 88.5941 | − | 60.2939i | 0.533699 | − | 0.363216i | ||||
\(167\) | 20.6601 | − | 11.9281i | 0.123713 | − | 0.0714257i | −0.436866 | − | 0.899526i | \(-0.643912\pi\) |
0.560579 | + | 0.828101i | \(0.310578\pi\) | |||||||
\(168\) | −30.1709 | + | 96.9473i | −0.179589 | + | 0.577067i | ||||
\(169\) | −68.5058 | + | 118.656i | −0.405360 | + | 0.702104i | ||||
\(170\) | −138.461 | + | 286.903i | −0.814476 | + | 1.68766i | ||||
\(171\) | −151.887 | + | 25.6635i | −0.888230 | + | 0.150079i | ||||
\(172\) | 114.825 | − | 91.2557i | 0.667585 | − | 0.530556i | ||||
\(173\) | 65.7413 | − | 113.867i | 0.380008 | − | 0.658193i | −0.611055 | − | 0.791588i | \(-0.709255\pi\) |
0.991063 | + | 0.133395i | \(0.0425880\pi\) | |||||||
\(174\) | 250.186 | − | 170.268i | 1.43785 | − | 0.978550i | ||||
\(175\) | 81.4349 | − | 47.0165i | 0.465342 | − | 0.268666i | ||||
\(176\) | −68.9684 | + | 73.8332i | −0.391866 | + | 0.419507i | ||||
\(177\) | −99.9291 | − | 173.082i | −0.564571 | − | 0.977866i | ||||
\(178\) | −63.5167 | + | 131.612i | −0.356835 | + | 0.739393i | ||||
\(179\) | 186.389i | 1.04128i | 0.853776 | + | 0.520641i | \(0.174307\pi\) | ||||
−0.853776 | + | 0.520641i | \(0.825693\pi\) | |||||||
\(180\) | 88.7558 | − | 225.038i | 0.493088 | − | 1.25021i | ||||
\(181\) | −126.815 | − | 219.650i | −0.700635 | − | 1.21354i | −0.968244 | − | 0.250008i | \(-0.919567\pi\) |
0.267609 | − | 0.963528i | \(-0.413766\pi\) | |||||||
\(182\) | −96.6855 | − | 46.6610i | −0.531239 | − | 0.256379i | ||||
\(183\) | − | 246.979i | − | 1.34961i | ||||||
\(184\) | −35.2789 | + | 32.5697i | −0.191733 | + | 0.177009i | ||||
\(185\) | 146.222 | − | 253.263i | 0.790387 | − | 1.36899i | ||||
\(186\) | 440.410 | − | 32.6338i | 2.36780 | − | 0.175450i | ||||
\(187\) | −116.772 | − | 67.4185i | −0.624451 | − | 0.360527i | ||||
\(188\) | −0.0393349 | − | 0.263966i | −0.000209228 | − | 0.00140407i | ||||
\(189\) | −11.3289 | −0.0599411 | ||||||||
\(190\) | 78.9497 | − | 272.245i | 0.415525 | − | 1.43287i | ||||
\(191\) | 17.2555i | 0.0903429i | 0.998979 | + | 0.0451715i | \(0.0143834\pi\) | ||||
−0.998979 | + | 0.0451715i | \(0.985617\pi\) | |||||||
\(192\) | −263.868 | − | 21.1063i | −1.37431 | − | 0.109929i | ||||
\(193\) | −52.3338 | + | 90.6447i | −0.271159 | + | 0.469662i | −0.969159 | − | 0.246436i | \(-0.920740\pi\) |
0.698000 | + | 0.716098i | \(0.254074\pi\) | |||||||
\(194\) | −238.410 | + | 17.6659i | −1.22892 | + | 0.0910612i | ||||
\(195\) | 467.415 | + | 269.862i | 2.39700 | + | 1.38391i | ||||
\(196\) | −58.0935 | + | 147.295i | −0.296395 | + | 0.751504i | ||||
\(197\) | 1.28215 | 0.00650837 | 0.00325418 | − | 0.999995i | \(-0.498964\pi\) | ||||
0.00325418 | + | 0.999995i | \(0.498964\pi\) | |||||||
\(198\) | 92.2136 | + | 44.5028i | 0.465725 | + | 0.224762i | ||||
\(199\) | −243.279 | + | 140.457i | −1.22251 | + | 0.705814i | −0.965451 | − | 0.260583i | \(-0.916085\pi\) |
−0.257054 | + | 0.966397i | \(0.582752\pi\) | |||||||
\(200\) | 166.297 | + | 180.130i | 0.831484 | + | 0.900649i | ||||
\(201\) | −279.161 | −1.38886 | ||||||||
\(202\) | 22.7708 | − | 47.1831i | 0.112727 | − | 0.233580i | ||||
\(203\) | −97.2180 | + | 56.1289i | −0.478907 | + | 0.276497i | ||||
\(204\) | −52.0682 | − | 349.415i | −0.255236 | − | 1.71282i | ||||
\(205\) | 136.314 | + | 236.103i | 0.664947 | + | 1.15172i | ||||
\(206\) | 215.471 | − | 146.641i | 1.04597 | − | 0.711852i | ||||
\(207\) | 42.1399 | + | 24.3295i | 0.203574 | + | 0.117534i | ||||
\(208\) | 63.1942 | − | 272.664i | 0.303818 | − | 1.31088i | ||||
\(209\) | 112.447 | + | 41.8401i | 0.538022 | + | 0.200192i | ||||
\(210\) | −82.2976 | + | 170.528i | −0.391894 | + | 0.812037i | ||||
\(211\) | 24.0326 | + | 13.8753i | 0.113899 | + | 0.0657595i | 0.555867 | − | 0.831271i | \(-0.312386\pi\) |
−0.441968 | + | 0.897031i | \(0.645720\pi\) | |||||||
\(212\) | 250.518 | − | 37.3311i | 1.18169 | − | 0.176090i | ||||
\(213\) | 71.7405 | + | 124.258i | 0.336810 | + | 0.583372i | ||||
\(214\) | −255.732 | + | 174.042i | −1.19501 | + | 0.813281i | ||||
\(215\) | 236.878 | − | 136.762i | 1.10176 | − | 0.636101i | ||||
\(216\) | −6.50005 | − | 28.8117i | −0.0300928 | − | 0.133387i | ||||
\(217\) | −163.815 | −0.754906 | ||||||||
\(218\) | 178.305 | − | 13.2121i | 0.817911 | − | 0.0606061i | ||||
\(219\) | 127.329 | − | 73.5136i | 0.581412 | − | 0.335679i | ||||
\(220\) | −147.507 | + | 117.230i | −0.670486 | + | 0.532862i | ||||
\(221\) | 373.532 | 1.69019 | ||||||||
\(222\) | 23.9648 | + | 323.417i | 0.107949 | + | 1.45684i | ||||
\(223\) | 227.599 | + | 131.404i | 1.02062 | + | 0.589257i | 0.914284 | − | 0.405073i | \(-0.132754\pi\) |
0.106339 | + | 0.994330i | \(0.466087\pi\) | |||||||
\(224\) | 97.0336 | + | 15.0407i | 0.433186 | + | 0.0671462i | ||||
\(225\) | 124.223 | − | 215.161i | 0.552103 | − | 0.956271i | ||||
\(226\) | −105.404 | − | 154.878i | −0.466391 | − | 0.685300i | ||||
\(227\) | 108.770i | 0.479161i | 0.970876 | + | 0.239581i | \(0.0770100\pi\) | ||||
−0.970876 | + | 0.239581i | \(0.922990\pi\) | |||||||
\(228\) | 97.4816 | + | 298.847i | 0.427551 | + | 1.31073i | ||||
\(229\) | −242.070 | −1.05707 | −0.528536 | − | 0.848911i | \(-0.677259\pi\) | ||||
−0.528536 | + | 0.848911i | \(0.677259\pi\) | |||||||
\(230\) | −74.0246 | + | 50.3785i | −0.321846 | + | 0.219037i | ||||
\(231\) | −69.4065 | − | 40.0719i | −0.300461 | − | 0.173471i | ||||
\(232\) | −198.527 | − | 215.041i | −0.855721 | − | 0.926902i | ||||
\(233\) | 133.782 | − | 231.717i | 0.574170 | − | 0.994492i | −0.421961 | − | 0.906614i | \(-0.638658\pi\) |
0.996131 | − | 0.0878782i | \(-0.0280086\pi\) | |||||||
\(234\) | −282.872 | + | 20.9604i | −1.20886 | + | 0.0895745i | ||||
\(235\) | − | 0.497700i | − | 0.00211787i | ||||||
\(236\) | −151.315 | + | 120.256i | −0.641165 | + | 0.509560i | ||||
\(237\) | −155.253 | − | 268.905i | −0.655074 | − | 1.13462i | ||||
\(238\) | 9.68362 | + | 130.686i | 0.0406875 | + | 0.549099i | ||||
\(239\) | 54.4854i | 0.227972i | 0.993482 | + | 0.113986i | \(0.0363619\pi\) | ||||
−0.993482 | + | 0.113986i | \(0.963638\pi\) | |||||||
\(240\) | −480.907 | − | 111.458i | −2.00378 | − | 0.464408i | ||||
\(241\) | 109.544 | + | 189.736i | 0.454541 | + | 0.787288i | 0.998662 | − | 0.0517191i | \(-0.0164701\pi\) |
−0.544121 | + | 0.839007i | \(0.683137\pi\) | |||||||
\(242\) | 91.2866 | + | 134.134i | 0.377217 | + | 0.554272i | ||||
\(243\) | −287.286 | + | 165.865i | −1.18225 | + | 0.682570i | ||||
\(244\) | −236.243 | + | 35.2039i | −0.968211 | + | 0.144278i | ||||
\(245\) | −147.640 | + | 255.720i | −0.602611 | + | 1.04375i | ||||
\(246\) | −272.280 | − | 131.404i | −1.10683 | − | 0.534163i | ||||
\(247\) | −327.725 | + | 55.3738i | −1.32682 | + | 0.224185i | ||||
\(248\) | −93.9903 | − | 416.614i | −0.378993 | − | 1.67990i | ||||
\(249\) | −110.811 | + | 191.930i | −0.445025 | + | 0.770805i | ||||
\(250\) | 47.3791 | + | 69.6173i | 0.189516 | + | 0.278469i | ||||
\(251\) | 272.951 | − | 157.589i | 1.08746 | − | 0.627843i | 0.154558 | − | 0.987984i | \(-0.450605\pi\) |
0.932898 | + | 0.360141i | \(0.117271\pi\) | |||||||
\(252\) | −14.6666 | − | 98.4236i | −0.0582009 | − | 0.390570i | ||||
\(253\) | −18.9497 | − | 32.8218i | −0.0748999 | − | 0.129730i | ||||
\(254\) | 284.864 | + | 137.477i | 1.12151 | + | 0.541247i | ||||
\(255\) | − | 658.813i | − | 2.58358i | ||||||
\(256\) | 17.4223 | + | 255.406i | 0.0680559 | + | 0.997682i | ||||
\(257\) | 61.4006 | + | 106.349i | 0.238913 | + | 0.413809i | 0.960403 | − | 0.278616i | \(-0.0898757\pi\) |
−0.721490 | + | 0.692425i | \(0.756542\pi\) | |||||||
\(258\) | −131.835 | + | 273.174i | −0.510990 | + | 1.05881i | ||||
\(259\) | − | 120.298i | − | 0.464471i | ||||||
\(260\) | 191.507 | − | 485.562i | 0.736566 | − | 1.86755i | ||||
\(261\) | −148.299 | + | 256.862i | −0.568196 | + | 0.984145i | ||||
\(262\) | 1.68791 | + | 22.7792i | 0.00644239 | + | 0.0869435i | ||||
\(263\) | 23.7444 | + | 13.7088i | 0.0902828 | + | 0.0521248i | 0.544462 | − | 0.838786i | \(-0.316734\pi\) |
−0.454179 | + | 0.890910i | \(0.650067\pi\) | |||||||
\(264\) | 62.0884 | − | 199.507i | 0.235183 | − | 0.755708i | ||||
\(265\) | 472.345 | 1.78244 | ||||||||
\(266\) | −27.8694 | − | 113.224i | −0.104772 | − | 0.425654i | ||||
\(267\) | − | 302.220i | − | 1.13191i | ||||||
\(268\) | 39.7911 | + | 267.027i | 0.148474 | + | 0.996368i | ||||
\(269\) | −189.509 | + | 328.239i | −0.704494 | + | 1.22022i | 0.262380 | + | 0.964965i | \(0.415493\pi\) |
−0.966874 | + | 0.255255i | \(0.917841\pi\) | |||||||
\(270\) | −4.07024 | − | 54.9301i | −0.0150750 | − | 0.203445i | ||||
\(271\) | −228.515 | − | 131.933i | −0.843229 | − | 0.486838i | 0.0151315 | − | 0.999886i | \(-0.495183\pi\) |
−0.858360 | + | 0.513047i | \(0.828517\pi\) | |||||||
\(272\) | −326.805 | + | 99.6098i | −1.20149 | + | 0.366212i | ||||
\(273\) | 222.018 | 0.813253 | ||||||||
\(274\) | 5.04455 | − | 10.4528i | 0.0184108 | − | 0.0381487i | ||||
\(275\) | −167.584 | + | 96.7547i | −0.609397 | + | 0.351835i | ||||
\(276\) | 36.4316 | − | 92.3717i | 0.131999 | − | 0.334680i | ||||
\(277\) | 184.425 | 0.665796 | 0.332898 | − | 0.942963i | \(-0.391974\pi\) | ||||
0.332898 | + | 0.942963i | \(0.391974\pi\) | |||||||
\(278\) | 130.165 | + | 62.8184i | 0.468220 | + | 0.225966i | ||||
\(279\) | −374.831 | + | 216.409i | −1.34348 | + | 0.775659i | ||||
\(280\) | 174.846 | + | 54.4136i | 0.624449 | + | 0.194334i | ||||
\(281\) | 67.1367 | + | 116.284i | 0.238921 | + | 0.413823i | 0.960405 | − | 0.278608i | \(-0.0898731\pi\) |
−0.721484 | + | 0.692431i | \(0.756540\pi\) | |||||||
\(282\) | 0.310527 | + | 0.456280i | 0.00110116 | + | 0.00161801i | ||||
\(283\) | 202.571 | + | 116.955i | 0.715800 | + | 0.413267i | 0.813205 | − | 0.581978i | \(-0.197721\pi\) |
−0.0974050 | + | 0.995245i | \(0.531054\pi\) | |||||||
\(284\) | 108.631 | − | 86.3335i | 0.382504 | − | 0.303991i | ||||
\(285\) | 97.6648 | + | 578.021i | 0.342683 | + | 2.02815i | ||||
\(286\) | 198.968 | + | 96.0231i | 0.695693 | + | 0.335745i | ||||
\(287\) | 97.1222 | + | 56.0735i | 0.338405 | + | 0.195378i | ||||
\(288\) | 241.897 | − | 93.7719i | 0.839919 | − | 0.325597i | ||||
\(289\) | −83.4755 | − | 144.584i | −0.288843 | − | 0.500290i | ||||
\(290\) | −307.080 | − | 451.214i | −1.05890 | − | 1.55591i | ||||
\(291\) | 428.160 | − | 247.198i | 1.47134 | − | 0.849479i | ||||
\(292\) | −88.4673 | − | 111.316i | −0.302970 | − | 0.381219i | ||||
\(293\) | 107.004 | 0.365202 | 0.182601 | − | 0.983187i | \(-0.441548\pi\) | ||||
0.182601 | + | 0.983187i | \(0.441548\pi\) | |||||||
\(294\) | −24.1972 | − | 326.554i | −0.0823034 | − | 1.11073i | ||||
\(295\) | −312.156 | + | 180.223i | −1.05816 | + | 0.610927i | ||||
\(296\) | 305.943 | − | 69.0223i | 1.03359 | − | 0.233183i | ||||
\(297\) | 23.3135 | 0.0784968 | ||||||||
\(298\) | 170.529 | − | 12.6359i | 0.572244 | − | 0.0424025i | ||||
\(299\) | 90.9246 | + | 52.4954i | 0.304096 | + | 0.175570i | ||||
\(300\) | −471.638 | − | 186.015i | −1.57213 | − | 0.620051i | ||||
\(301\) | 56.2576 | − | 97.4410i | 0.186902 | − | 0.323724i | ||||
\(302\) | −319.453 | + | 217.408i | −1.05779 | + | 0.719894i | ||||
\(303\) | 108.346i | 0.357578i | ||||||||
\(304\) | 271.962 | − | 135.841i | 0.894611 | − | 0.446846i | ||||
\(305\) | −445.430 | −1.46043 | ||||||||
\(306\) | 194.801 | + | 286.235i | 0.636605 | + | 0.935408i | ||||
\(307\) | 369.984 | + | 213.610i | 1.20516 | + | 0.695799i | 0.961698 | − | 0.274112i | \(-0.0883839\pi\) |
0.243461 | + | 0.969911i | \(0.421717\pi\) | |||||||
\(308\) | −28.4369 | + | 72.1012i | −0.0923277 | + | 0.234095i | ||||
\(309\) | −269.505 | + | 466.796i | −0.872184 | + | 1.51067i | ||||
\(310\) | −58.8554 | − | 794.285i | −0.189856 | − | 2.56221i | ||||
\(311\) | − | 33.0155i | − | 0.106159i | −0.998590 | − | 0.0530796i | \(-0.983096\pi\) | ||
0.998590 | − | 0.0530796i | \(-0.0169037\pi\) | |||||||
\(312\) | 127.385 | + | 564.638i | 0.408286 | + | 1.80974i | ||||
\(313\) | −135.658 | − | 234.967i | −0.433412 | − | 0.750692i | 0.563752 | − | 0.825944i | \(-0.309357\pi\) |
−0.997165 | + | 0.0752519i | \(0.976024\pi\) | |||||||
\(314\) | −157.750 | + | 11.6891i | −0.502389 | + | 0.0372263i | ||||
\(315\) | − | 185.575i | − | 0.589127i | ||||||
\(316\) | −235.087 | + | 186.833i | −0.743946 | + | 0.591244i | ||||
\(317\) | −85.3897 | − | 147.899i | −0.269368 | − | 0.466559i | 0.699331 | − | 0.714798i | \(-0.253482\pi\) |
−0.968699 | + | 0.248239i | \(0.920148\pi\) | |||||||
\(318\) | −433.035 | + | 294.708i | −1.36175 | + | 0.926756i | ||||
\(319\) | 200.064 | − | 115.507i | 0.627160 | − | 0.362091i | ||||
\(320\) | −38.0655 | + | 475.889i | −0.118955 | + | 1.48715i | ||||
\(321\) | 319.863 | − | 554.019i | 0.996458 | − | 1.72592i | ||||
\(322\) | −16.0091 | + | 33.1722i | −0.0497177 | + | 0.103019i | ||||
\(323\) | 258.555 | + | 312.646i | 0.800479 | + | 0.967945i | ||||
\(324\) | 219.597 | + | 276.313i | 0.677769 | + | 0.852818i | ||||
\(325\) | 268.035 | − | 464.250i | 0.824722 | − | 1.42846i | ||||
\(326\) | 266.915 | − | 181.653i | 0.818757 | − | 0.557217i | ||||
\(327\) | −320.217 | + | 184.877i | −0.979256 | + | 0.565374i | ||||
\(328\) | −86.8818 | + | 279.175i | −0.264883 | + | 0.851143i | ||||
\(329\) | −0.102366 | − | 0.177302i | −0.000311142 | − | 0.000538913i | ||||
\(330\) | 169.360 | − | 350.927i | 0.513211 | − | 1.06342i | ||||
\(331\) | − | 536.931i | − | 1.62215i | −0.584944 | − | 0.811074i | \(-0.698883\pi\) | ||
0.584944 | − | 0.811074i | \(-0.301117\pi\) | |||||||
\(332\) | 199.382 | + | 78.6369i | 0.600549 | + | 0.236858i | ||||
\(333\) | −158.921 | − | 275.259i | −0.477240 | − | 0.826604i | ||||
\(334\) | 42.9700 | + | 20.7376i | 0.128653 | + | 0.0620885i | ||||
\(335\) | 503.471i | 1.50290i | ||||||||
\(336\) | −194.245 | + | 59.2055i | −0.578109 | + | 0.176207i | ||||
\(337\) | −14.1730 | + | 24.5483i | −0.0420563 | + | 0.0728436i | −0.886287 | − | 0.463136i | \(-0.846724\pi\) |
0.844231 | + | 0.535979i | \(0.180058\pi\) | |||||||
\(338\) | −273.274 | + | 20.2492i | −0.808503 | + | 0.0599089i | ||||
\(339\) | 335.528 | + | 193.717i | 0.989758 | + | 0.571437i | ||||
\(340\) | −630.175 | + | 93.9057i | −1.85346 | + | 0.276193i | ||||
\(341\) | 337.112 | 0.988599 | ||||||||
\(342\) | −213.345 | − | 222.255i | −0.623816 | − | 0.649870i | ||||
\(343\) | 271.822i | 0.792483i | ||||||||
\(344\) | 280.091 | + | 87.1669i | 0.814218 | + | 0.253392i | ||||
\(345\) | 92.5880 | − | 160.367i | 0.268371 | − | 0.464832i | ||||
\(346\) | 262.246 | − | 19.4321i | 0.757937 | − | 0.0561621i | ||||
\(347\) | −281.728 | − | 162.656i | −0.811897 | − | 0.468749i | 0.0357172 | − | 0.999362i | \(-0.488628\pi\) |
−0.847614 | + | 0.530613i | \(0.821962\pi\) | |||||||
\(348\) | 563.048 | + | 222.068i | 1.61795 | + | 0.638125i | ||||
\(349\) | 208.896 | 0.598556 | 0.299278 | − | 0.954166i | \(-0.403254\pi\) | ||||
0.299278 | + | 0.954166i | \(0.403254\pi\) | |||||||
\(350\) | 169.373 | + | 81.7404i | 0.483923 | + | 0.233544i | ||||
\(351\) | −55.9317 | + | 32.2922i | −0.159350 | + | 0.0920005i | ||||
\(352\) | −199.684 | − | 30.9522i | −0.567285 | − | 0.0879324i | ||||
\(353\) | −174.981 | −0.495696 | −0.247848 | − | 0.968799i | \(-0.579723\pi\) | ||||
−0.247848 | + | 0.968799i | \(0.579723\pi\) | |||||||
\(354\) | 173.732 | − | 359.987i | 0.490767 | − | 1.01691i | ||||
\(355\) | 224.101 | − | 129.385i | 0.631271 | − | 0.364465i | ||||
\(356\) | −289.082 | + | 43.0777i | −0.812029 | + | 0.121005i | ||||
\(357\) | −135.503 | − | 234.698i | −0.379560 | − | 0.657417i | ||||
\(358\) | −308.180 | + | 209.736i | −0.860838 | + | 0.585855i | ||||
\(359\) | 351.682 | + | 203.043i | 0.979614 | + | 0.565581i | 0.902154 | − | 0.431415i | \(-0.141985\pi\) |
0.0774606 | + | 0.996995i | \(0.475319\pi\) | |||||||
\(360\) | 471.956 | − | 106.476i | 1.31099 | − | 0.295766i | ||||
\(361\) | −273.196 | − | 235.977i | −0.756775 | − | 0.653676i | ||||
\(362\) | 220.474 | − | 456.841i | 0.609044 | − | 1.26199i | ||||
\(363\) | −290.588 | − | 167.771i | −0.800518 | − | 0.462179i | ||||
\(364\) | −31.6460 | − | 212.367i | −0.0869395 | − | 0.583427i | ||||
\(365\) | −132.583 | − | 229.640i | −0.363240 | − | 0.629151i | ||||
\(366\) | 408.360 | − | 277.915i | 1.11574 | − | 0.759332i | ||||
\(367\) | 61.6040 | − | 35.5671i | 0.167858 | − | 0.0969131i | −0.413717 | − | 0.910405i | \(-0.635770\pi\) |
0.581576 | + | 0.813492i | \(0.302436\pi\) | |||||||
\(368\) | −93.5492 | − | 21.6815i | −0.254210 | − | 0.0589172i | ||||
\(369\) | 296.306 | 0.802997 | ||||||||
\(370\) | 583.287 | − | 43.2208i | 1.57645 | − | 0.116813i | ||||
\(371\) | 168.270 | − | 97.1508i | 0.453558 | − | 0.261862i | ||||
\(372\) | 549.532 | + | 691.461i | 1.47724 | + | 1.85877i | ||||
\(373\) | 388.010 | 1.04024 | 0.520121 | − | 0.854092i | \(-0.325887\pi\) | ||||
0.520121 | + | 0.854092i | \(0.325887\pi\) | |||||||
\(374\) | −19.9278 | − | 268.937i | −0.0532830 | − | 0.719082i | ||||
\(375\) | −150.819 | − | 87.0755i | −0.402185 | − | 0.232201i | ||||
\(376\) | 0.392184 | − | 0.362066i | 0.00104304 | − | 0.000962942i | ||||
\(377\) | −319.983 | + | 554.227i | −0.848762 | + | 1.47010i | ||||
\(378\) | −12.7479 | − | 18.7314i | −0.0337246 | − | 0.0495539i | ||||
\(379\) | − | 259.526i | − | 0.684764i | −0.939561 | − | 0.342382i | \(-0.888766\pi\) | ||
0.939561 | − | 0.342382i | \(-0.111234\pi\) | |||||||
\(380\) | 538.975 | − | 175.809i | 1.41835 | − | 0.462656i | ||||
\(381\) | −654.130 | −1.71688 | ||||||||
\(382\) | −28.5306 | + | 19.4169i | −0.0746874 | + | 0.0508295i | ||||
\(383\) | −560.066 | − | 323.354i | −1.46231 | − | 0.844267i | −0.463195 | − | 0.886256i | \(-0.653297\pi\) |
−0.999118 | + | 0.0419895i | \(0.986630\pi\) | |||||||
\(384\) | −262.022 | − | 460.035i | −0.682349 | − | 1.19801i | ||||
\(385\) | −72.2701 | + | 125.176i | −0.187715 | + | 0.325131i | ||||
\(386\) | −208.763 | + | 15.4690i | −0.540836 | + | 0.0400752i | ||||
\(387\) | − | 297.279i | − | 0.768162i | ||||||
\(388\) | −297.482 | − | 374.314i | −0.766706 | − | 0.964726i | ||||
\(389\) | −126.672 | − | 219.402i | −0.325635 | − | 0.564016i | 0.656006 | − | 0.754756i | \(-0.272245\pi\) |
−0.981641 | + | 0.190740i | \(0.938911\pi\) | |||||||
\(390\) | 79.7669 | + | 1076.50i | 0.204530 | + | 2.76025i | ||||
\(391\) | − | 128.157i | − | 0.327766i | ||||||
\(392\) | −308.910 | + | 69.6917i | −0.788036 | + | 0.177785i | ||||
\(393\) | −23.6189 | − | 40.9091i | −0.0600989 | − | 0.104094i | ||||
\(394\) | 1.44275 | + | 2.11993i | 0.00366179 | + | 0.00538053i | ||||
\(395\) | −484.974 | + | 280.000i | −1.22778 | + | 0.708861i | ||||
\(396\) | 30.1823 | + | 202.545i | 0.0762179 | + | 0.511477i | ||||
\(397\) | 25.8490 | − | 44.7718i | 0.0651109 | − | 0.112775i | −0.831632 | − | 0.555327i | \(-0.812593\pi\) |
0.896743 | + | 0.442551i | \(0.145927\pi\) | |||||||
\(398\) | −505.985 | − | 244.191i | −1.27132 | − | 0.613546i | ||||
\(399\) | 153.678 | + | 185.829i | 0.385159 | + | 0.465737i | ||||
\(400\) | −110.703 | + | 477.651i | −0.276758 | + | 1.19413i | ||||
\(401\) | −68.4096 | + | 118.489i | −0.170598 | + | 0.295484i | −0.938629 | − | 0.344929i | \(-0.887903\pi\) |
0.768031 | + | 0.640412i | \(0.221236\pi\) | |||||||
\(402\) | −314.129 | − | 461.571i | −0.781414 | − | 1.14819i | ||||
\(403\) | −808.768 | + | 466.943i | −2.00687 | + | 1.15867i | ||||
\(404\) | 103.636 | − | 15.4434i | 0.256526 | − | 0.0382263i | ||||
\(405\) | 329.102 | + | 570.022i | 0.812598 | + | 1.40746i | ||||
\(406\) | −202.200 | − | 97.5828i | −0.498029 | − | 0.240352i | ||||
\(407\) | 247.560i | 0.608256i | ||||||||
\(408\) | 519.140 | − | 479.273i | 1.27240 | − | 1.17469i | ||||
\(409\) | 85.8621 | + | 148.718i | 0.209932 | + | 0.363613i | 0.951693 | − | 0.307052i | \(-0.0993425\pi\) |
−0.741761 | + | 0.670664i | \(0.766009\pi\) | |||||||
\(410\) | −236.989 | + | 491.061i | −0.578022 | + | 1.19771i | ||||
\(411\) | 24.0026i | 0.0584004i | ||||||||
\(412\) | 484.920 | + | 191.254i | 1.17699 | + | 0.464208i | ||||
\(413\) | −74.1358 | + | 128.407i | −0.179506 | + | 0.310913i | ||||
\(414\) | 7.19140 | + | 97.0518i | 0.0173705 | + | 0.234425i | ||||
\(415\) | 346.149 | + | 199.849i | 0.834094 | + | 0.481565i | ||||
\(416\) | 521.937 | − | 202.330i | 1.25466 | − | 0.486371i | ||||
\(417\) | −298.897 | −0.716780 | ||||||||
\(418\) | 57.3522 | + | 233.002i | 0.137206 | + | 0.557422i | ||||
\(419\) | − | 594.571i | − | 1.41902i | −0.704693 | − | 0.709512i | \(-0.748915\pi\) | ||
0.704693 | − | 0.709512i | \(-0.251085\pi\) | |||||||
\(420\) | −374.560 | + | 55.8152i | −0.891810 | + | 0.132893i | ||||
\(421\) | 47.4370 | − | 82.1633i | 0.112677 | − | 0.195162i | −0.804172 | − | 0.594397i | \(-0.797391\pi\) |
0.916849 | + | 0.399235i | \(0.130724\pi\) | |||||||
\(422\) | 4.10130 | + | 55.3493i | 0.00971873 | + | 0.131159i | ||||
\(423\) | −0.468455 | − | 0.270462i | −0.00110746 | − | 0.000639391i | ||||
\(424\) | 343.622 | + | 372.205i | 0.810428 | + | 0.877842i | ||||
\(425\) | −654.352 | −1.53965 | ||||||||
\(426\) | −124.724 | + | 258.440i | −0.292780 | + | 0.606666i | ||||
\(427\) | −158.682 | + | 91.6150i | −0.371620 | + | 0.214555i | ||||
\(428\) | −575.529 | − | 226.990i | −1.34469 | − | 0.530351i | ||||
\(429\) | −456.889 | −1.06501 | ||||||||
\(430\) | 492.673 | + | 237.767i | 1.14575 | + | 0.552946i | ||||
\(431\) | −444.572 | + | 256.674i | −1.03149 | + | 0.595531i | −0.917411 | − | 0.397940i | \(-0.869725\pi\) |
−0.114079 | + | 0.993472i | \(0.536392\pi\) | |||||||
\(432\) | 40.3235 | − | 43.1678i | 0.0933415 | − | 0.0999256i | ||||
\(433\) | −342.746 | − | 593.654i | −0.791562 | − | 1.37103i | −0.925000 | − | 0.379968i | \(-0.875935\pi\) |
0.133438 | − | 0.991057i | \(-0.457398\pi\) | |||||||
\(434\) | −184.334 | − | 270.854i | −0.424732 | − | 0.624088i | ||||
\(435\) | 977.511 | + | 564.366i | 2.24715 | + | 1.29739i | ||||
\(436\) | 222.484 | + | 279.945i | 0.510284 | + | 0.642076i | ||||
\(437\) | 18.9984 | + | 112.441i | 0.0434746 | + | 0.257301i | ||||
\(438\) | 264.827 | + | 127.807i | 0.604628 | + | 0.291797i | ||||
\(439\) | −450.012 | − | 259.814i | −1.02508 | − | 0.591832i | −0.109511 | − | 0.993986i | \(-0.534929\pi\) |
−0.915572 | + | 0.402153i | \(0.868262\pi\) | |||||||
\(440\) | −359.813 | − | 111.977i | −0.817757 | − | 0.254494i | ||||
\(441\) | 160.462 | + | 277.929i | 0.363860 | + | 0.630224i | ||||
\(442\) | 420.320 | + | 617.605i | 0.950950 | + | 1.39730i | ||||
\(443\) | −12.1016 | + | 6.98684i | −0.0273173 | + | 0.0157716i | −0.513596 | − | 0.858032i | \(-0.671687\pi\) |
0.486279 | + | 0.873804i | \(0.338354\pi\) | |||||||
\(444\) | −507.778 | + | 403.552i | −1.14364 | + | 0.908900i | ||||
\(445\) | −545.057 | −1.22485 | ||||||||
\(446\) | 38.8410 | + | 524.180i | 0.0870875 | + | 1.17529i | ||||
\(447\) | −306.252 | + | 176.815i | −0.685127 | + | 0.395558i | ||||
\(448\) | 84.3191 | + | 177.362i | 0.188212 | + | 0.395897i | ||||
\(449\) | 685.603 | 1.52695 | 0.763477 | − | 0.645835i | \(-0.223490\pi\) | ||||
0.763477 | + | 0.645835i | \(0.223490\pi\) | |||||||
\(450\) | 495.534 | − | 36.7184i | 1.10119 | − | 0.0815964i | ||||
\(451\) | −199.867 | − | 115.393i | −0.443164 | − | 0.255861i | ||||
\(452\) | 137.471 | − | 348.555i | 0.304140 | − | 0.771139i | ||||
\(453\) | 399.563 | − | 692.063i | 0.882037 | − | 1.52773i | ||||
\(454\) | −179.842 | + | 122.394i | −0.396127 | + | 0.269590i | ||||
\(455\) | − | 400.413i | − | 0.880028i | ||||||
\(456\) | −384.428 | + | 497.458i | −0.843043 | + | 1.09092i | ||||
\(457\) | 729.031 | 1.59525 | 0.797627 | − | 0.603151i | \(-0.206089\pi\) | ||||
0.797627 | + | 0.603151i | \(0.206089\pi\) | |||||||
\(458\) | −272.391 | − | 400.242i | −0.594739 | − | 0.873892i | ||||
\(459\) | 68.2729 | + | 39.4174i | 0.148743 | + | 0.0858766i | ||||
\(460\) | −166.593 | − | 65.7049i | −0.362160 | − | 0.142837i | ||||
\(461\) | 168.346 | − | 291.583i | 0.365175 | − | 0.632501i | −0.623629 | − | 0.781720i | \(-0.714343\pi\) |
0.988804 | + | 0.149219i | \(0.0476759\pi\) | |||||||
\(462\) | −11.8446 | − | 159.849i | −0.0256377 | − | 0.345994i | ||||
\(463\) | 430.676i | 0.930186i | 0.885262 | + | 0.465093i | \(0.153979\pi\) | ||||
−0.885262 | + | 0.465093i | \(0.846021\pi\) | |||||||
\(464\) | 132.159 | − | 570.226i | 0.284825 | − | 1.22893i | ||||
\(465\) | 823.564 | + | 1426.45i | 1.77111 | + | 3.06764i | ||||
\(466\) | 533.664 | − | 39.5437i | 1.14520 | − | 0.0848578i | ||||
\(467\) | − | 457.514i | − | 0.979687i | −0.871810 | − | 0.489844i | \(-0.837054\pi\) | ||
0.871810 | − | 0.489844i | \(-0.162946\pi\) | |||||||
\(468\) | −352.961 | − | 444.121i | −0.754189 | − | 0.948976i | ||||
\(469\) | 103.553 | + | 179.359i | 0.220795 | + | 0.382428i | ||||
\(470\) | 0.822906 | − | 0.560040i | 0.00175086 | − | 0.00119158i | ||||
\(471\) | 283.303 | − | 163.565i | 0.601492 | − | 0.347272i | ||||
\(472\) | −369.102 | − | 114.868i | −0.781996 | − | 0.243364i | ||||
\(473\) | −115.772 | + | 200.523i | −0.244761 | + | 0.423938i | ||||
\(474\) | 269.914 | − | 559.285i | 0.569439 | − | 1.17993i | ||||
\(475\) | 574.108 | − | 97.0035i | 1.20865 | − | 0.204218i | ||||
\(476\) | −205.182 | + | 163.066i | −0.431054 | + | 0.342576i | ||||
\(477\) | 256.684 | − | 444.590i | 0.538122 | − | 0.932055i | ||||
\(478\) | −90.0871 | + | 61.3101i | −0.188467 | + | 0.128264i | ||||
\(479\) | 781.003 | − | 450.912i | 1.63049 | − | 0.941361i | 0.646543 | − | 0.762877i | \(-0.276214\pi\) |
0.983943 | − | 0.178484i | \(-0.0571193\pi\) | |||||||
\(480\) | −356.858 | − | 920.560i | −0.743453 | − | 1.91783i | ||||
\(481\) | −342.902 | − | 593.923i | −0.712893 | − | 1.23477i | ||||
\(482\) | −190.448 | + | 394.625i | −0.395121 | + | 0.818724i | ||||
\(483\) | − | 76.1731i | − | 0.157708i | ||||||
\(484\) | −119.058 | + | 301.870i | −0.245988 | + | 0.623698i | ||||
\(485\) | −445.826 | − | 772.193i | −0.919228 | − | 1.59215i | ||||
\(486\) | −597.514 | − | 288.364i | −1.22945 | − | 0.593341i | ||||
\(487\) | 114.636i | 0.235393i | 0.993050 | + | 0.117697i | \(0.0375510\pi\) | ||||
−0.993050 | + | 0.117697i | \(0.962449\pi\) | |||||||
\(488\) | −324.042 | − | 350.996i | −0.664020 | − | 0.719254i | ||||
\(489\) | −333.850 | + | 578.245i | −0.682720 | + | 1.18251i | ||||
\(490\) | −588.944 | + | 43.6399i | −1.20193 | + | 0.0890611i | ||||
\(491\) | −720.122 | − | 415.763i | −1.46664 | − | 0.846768i | −0.467341 | − | 0.884077i | \(-0.654788\pi\) |
−0.999304 | + | 0.0373098i | \(0.988121\pi\) | |||||||
\(492\) | −89.1197 | − | 598.057i | −0.181138 | − | 1.21556i | ||||
\(493\) | 781.173 | 1.58453 | ||||||||
\(494\) | −460.332 | − | 479.558i | −0.931845 | − | 0.970765i | ||||
\(495\) | 381.893i | 0.771501i | ||||||||
\(496\) | 583.075 | − | 624.204i | 1.17555 | − | 1.25848i | ||||
\(497\) | 53.2231 | − | 92.1852i | 0.107089 | − | 0.185483i | ||||
\(498\) | −442.033 | + | 32.7540i | −0.887616 | + | 0.0657711i | ||||
\(499\) | 231.504 | + | 133.659i | 0.463935 | + | 0.267853i | 0.713698 | − | 0.700454i | \(-0.247019\pi\) |
−0.249762 | + | 0.968307i | \(0.580352\pi\) | |||||||
\(500\) | −61.7930 | + | 156.675i | −0.123586 | + | 0.313350i | ||||
\(501\) | −98.6718 | −0.196950 | ||||||||
\(502\) | 567.701 | + | 273.975i | 1.13088 | + | 0.545768i | ||||
\(503\) | 638.949 | − | 368.897i | 1.27028 | − | 0.733394i | 0.295236 | − | 0.955424i | \(-0.404602\pi\) |
0.975040 | + | 0.222030i | \(0.0712684\pi\) | |||||||
\(504\) | 146.232 | − | 135.002i | 0.290142 | − | 0.267861i | ||||
\(505\) | 195.404 | 0.386938 | ||||||||
\(506\) | 32.9449 | − | 68.2648i | 0.0651086 | − | 0.134911i | ||||
\(507\) | 490.772 | − | 283.347i | 0.967992 | − | 0.558870i | ||||
\(508\) | 93.2383 | + | 625.696i | 0.183540 | + | 1.23169i | ||||
\(509\) | 364.128 | + | 630.688i | 0.715379 | + | 1.23907i | 0.962813 | + | 0.270169i | \(0.0870794\pi\) |
−0.247434 | + | 0.968905i | \(0.579587\pi\) | |||||||
\(510\) | 1089.29 | − | 741.334i | 2.13587 | − | 1.45360i | ||||
\(511\) | −94.4636 | − | 54.5386i | −0.184860 | − | 0.106729i | ||||
\(512\) | −402.689 | + | 316.204i | −0.786503 | + | 0.617587i | ||||
\(513\) | −65.7438 | − | 24.4625i | −0.128156 | − | 0.0476852i | ||||
\(514\) | −106.748 | + | 221.191i | −0.207681 | + | 0.430332i | ||||
\(515\) | 841.873 | + | 486.056i | 1.63470 | + | 0.943797i | ||||
\(516\) | −600.020 | + | 89.4122i | −1.16283 | + | 0.173279i | ||||
\(517\) | 0.210657 | + | 0.364869i | 0.000407461 | + | 0.000705743i | ||||
\(518\) | 198.903 | − | 135.366i | 0.383983 | − | 0.261325i | ||||
\(519\) | −470.967 | + | 271.913i | −0.907452 | + | 0.523917i | ||||
\(520\) | 1018.33 | − | 229.741i | 1.95833 | − | 0.441810i | ||||
\(521\) | −527.221 | −1.01194 | −0.505970 | − | 0.862551i | \(-0.668865\pi\) | ||||
−0.505970 | + | 0.862551i | \(0.668865\pi\) | |||||||
\(522\) | −591.575 | + | 43.8349i | −1.13329 | + | 0.0839749i | ||||
\(523\) | 412.028 | − | 237.885i | 0.787817 | − | 0.454846i | −0.0513764 | − | 0.998679i | \(-0.516361\pi\) |
0.839194 | + | 0.543833i | \(0.183027\pi\) | |||||||
\(524\) | −35.7642 | + | 28.4233i | −0.0682524 | + | 0.0542429i | ||||
\(525\) | −388.930 | −0.740819 | ||||||||
\(526\) | 4.05211 | + | 54.6853i | 0.00770362 | + | 0.103965i | ||||
\(527\) | 987.221 | + | 569.972i | 1.87328 | + | 1.08154i | ||||
\(528\) | 399.734 | − | 121.838i | 0.757072 | − | 0.230755i | ||||
\(529\) | −246.489 | + | 426.932i | −0.465953 | + | 0.807054i | ||||
\(530\) | 531.510 | + | 780.985i | 1.00285 | + | 1.47356i | ||||
\(531\) | 391.752i | 0.737762i | ||||||||
\(532\) | 155.846 | − | 173.486i | 0.292944 | − | 0.326101i | ||||
\(533\) | 639.336 | 1.19950 | ||||||||
\(534\) | 499.696 | − | 340.075i | 0.935760 | − | 0.636844i | ||||
\(535\) | −999.181 | − | 576.877i | −1.86763 | − | 1.07828i | ||||
\(536\) | −396.732 | + | 366.265i | −0.740171 | + | 0.683330i | ||||
\(537\) | 385.463 | − | 667.642i | 0.717809 | − | 1.24328i | ||||
\(538\) | −755.963 | + | 56.0158i | −1.40514 | + | 0.104119i | ||||
\(539\) | − | 249.961i | − | 0.463749i | ||||||
\(540\) | 86.2424 | − | 68.5403i | 0.159708 | − | 0.126927i | ||||
\(541\) | 26.5528 | + | 45.9909i | 0.0490810 | + | 0.0850109i | 0.889522 | − | 0.456892i | \(-0.151037\pi\) |
−0.840441 | + | 0.541903i | \(0.817704\pi\) | |||||||
\(542\) | −38.9973 | − | 526.290i | −0.0719508 | − | 0.971015i | ||||
\(543\) | 1049.04i | 1.93193i | ||||||||
\(544\) | −532.436 | − | 428.259i | −0.978743 | − | 0.787240i | ||||
\(545\) | 333.428 | + | 577.515i | 0.611795 | + | 1.05966i | ||||
\(546\) | 249.828 | + | 367.089i | 0.457560 | + | 0.672324i | ||||
\(547\) | 34.0324 | − | 19.6486i | 0.0622165 | − | 0.0359207i | −0.468569 | − | 0.883427i | \(-0.655230\pi\) |
0.530786 | + | 0.847506i | \(0.321897\pi\) | |||||||
\(548\) | 22.9592 | − | 3.42127i | 0.0418964 | − | 0.00624320i | ||||
\(549\) | −242.058 | + | 419.257i | −0.440907 | + | 0.763674i | ||||
\(550\) | −348.551 | − | 168.213i | −0.633730 | − | 0.305841i | ||||
\(551\) | −685.377 | + | 115.804i | −1.24388 | + | 0.210171i | ||||
\(552\) | 193.724 | − | 43.7051i | 0.350949 | − | 0.0791759i | ||||
\(553\) | −115.179 | + | 199.497i | −0.208281 | + | 0.360753i | ||||
\(554\) | 207.526 | + | 304.933i | 0.374596 | + | 0.550420i | ||||
\(555\) | −1047.52 | + | 604.788i | −1.88743 | + | 1.08971i | ||||
\(556\) | 42.6042 | + | 285.905i | 0.0766262 | + | 0.514217i | ||||
\(557\) | 288.247 | + | 499.259i | 0.517500 | + | 0.896336i | 0.999793 | + | 0.0203261i | \(0.00647046\pi\) |
−0.482294 | + | 0.876010i | \(0.660196\pi\) | |||||||
\(558\) | −779.596 | − | 376.237i | −1.39713 | − | 0.674261i | ||||
\(559\) | − | 641.434i | − | 1.14747i | ||||||
\(560\) | 106.778 | + | 350.323i | 0.190675 | + | 0.625576i | ||||
\(561\) | 278.850 | + | 482.983i | 0.497059 | + | 0.860931i | ||||
\(562\) | −116.720 | + | 241.855i | −0.207688 | + | 0.430346i | ||||
\(563\) | − | 971.322i | − | 1.72526i | −0.505834 | − | 0.862631i | \(-0.668815\pi\) | ||
0.505834 | − | 0.862631i | \(-0.331185\pi\) | |||||||
\(564\) | −0.404998 | + | 1.02686i | −0.000718082 | + | 0.00182068i | ||||
\(565\) | 349.371 | − | 605.129i | 0.618356 | − | 1.07102i | ||||
\(566\) | 34.5699 | + | 466.539i | 0.0610776 | + | 0.824275i | ||||
\(567\) | 234.481 | + | 135.378i | 0.413547 | + | 0.238762i | ||||
\(568\) | 264.983 | + | 82.4653i | 0.466520 | + | 0.145185i | ||||
\(569\) | −904.483 | −1.58960 | −0.794800 | − | 0.606871i | \(-0.792424\pi\) | ||||
−0.794800 | + | 0.606871i | \(0.792424\pi\) | |||||||
\(570\) | −845.814 | + | 811.904i | −1.48388 | + | 1.42439i | ||||
\(571\) | − | 143.659i | − | 0.251591i | −0.992056 | − | 0.125796i | \(-0.959852\pi\) | ||
0.992056 | − | 0.125796i | \(-0.0401483\pi\) | |||||||
\(572\) | 65.1240 | + | 437.028i | 0.113853 | + | 0.764036i | ||||
\(573\) | 35.6853 | − | 61.8088i | 0.0622780 | − | 0.107869i | ||||
\(574\) | 16.5744 | + | 223.681i | 0.0288753 | + | 0.389688i | ||||
\(575\) | −159.281 | − | 91.9611i | −0.277011 | − | 0.159932i | ||||
\(576\) | 427.240 | + | 294.439i | 0.741736 | + | 0.511179i | ||||
\(577\) | 403.285 | 0.698934 | 0.349467 | − | 0.936949i | \(-0.386363\pi\) | ||||
0.349467 | + | 0.936949i | \(0.386363\pi\) | |||||||
\(578\) | 145.126 | − | 300.714i | 0.251083 | − | 0.520267i | ||||
\(579\) | 374.916 | − | 216.458i | 0.647524 | − | 0.373848i | ||||
\(580\) | 400.502 | − | 1015.46i | 0.690520 | − | 1.75080i | ||||
\(581\) | 164.418 | 0.282991 | ||||||||
\(582\) | 890.513 | + | 429.767i | 1.53009 | + | 0.738431i | ||||
\(583\) | −346.282 | + | 199.926i | −0.593965 | + | 0.342926i | ||||
\(584\) | 84.5035 | − | 271.533i | 0.144698 | − | 0.464953i | ||||
\(585\) | −528.969 | − | 916.202i | −0.904221 | − | 1.56616i | ||||
\(586\) | 120.407 | + | 176.923i | 0.205473 | + | 0.301916i | ||||
\(587\) | −782.409 | − | 451.724i | −1.33289 | − | 0.769547i | −0.347152 | − | 0.937809i | \(-0.612851\pi\) |
−0.985742 | + | 0.168262i | \(0.946185\pi\) | |||||||
\(588\) | 512.703 | − | 407.465i | 0.871943 | − | 0.692968i | ||||
\(589\) | −950.651 | − | 353.726i | −1.61401 | − | 0.600554i | ||||
\(590\) | −649.241 | − | 313.327i | −1.10041 | − | 0.531063i | ||||
\(591\) | −4.59262 | − | 2.65155i | −0.00777093 | − | 0.00448655i | ||||
\(592\) | 458.387 | + | 428.184i | 0.774303 | + | 0.723284i | ||||
\(593\) | −181.794 | − | 314.876i | −0.306567 | − | 0.530989i | 0.671042 | − | 0.741419i | \(-0.265847\pi\) |
−0.977609 | + | 0.210430i | \(0.932514\pi\) | |||||||
\(594\) | 26.2337 | + | 38.5471i | 0.0441646 | + | 0.0648941i | ||||
\(595\) | −423.281 | + | 244.381i | −0.711396 | + | 0.410725i | ||||
\(596\) | 212.781 | + | 267.737i | 0.357015 | + | 0.449223i | ||||
\(597\) | 1161.89 | 1.94621 | ||||||||
\(598\) | 15.5168 | + | 209.407i | 0.0259478 | + | 0.350180i | ||||
\(599\) | −67.8348 | + | 39.1645i | −0.113247 | + | 0.0653831i | −0.555554 | − | 0.831481i | \(-0.687494\pi\) |
0.442307 | + | 0.896864i | \(0.354160\pi\) | |||||||
\(600\) | −223.153 | − | 989.131i | −0.371921 | − | 1.64855i | ||||
\(601\) | −663.826 | −1.10454 | −0.552268 | − | 0.833666i | \(-0.686238\pi\) | ||||
−0.552268 | + | 0.833666i | \(0.686238\pi\) | |||||||
\(602\) | 224.415 | − | 16.6288i | 0.372782 | − | 0.0276227i | ||||
\(603\) | 473.887 | + | 273.599i | 0.785882 | + | 0.453729i | ||||
\(604\) | −718.933 | − | 283.549i | −1.19029 | − | 0.469452i | ||||
\(605\) | −302.577 | + | 524.079i | −0.500128 | + | 0.866246i | ||||
\(606\) | −179.142 | + | 121.917i | −0.295613 | + | 0.201184i | ||||
\(607\) | − | 336.087i | − | 0.553686i | −0.960915 | − | 0.276843i | \(-0.910712\pi\) | ||
0.960915 | − | 0.276843i | \(-0.0892882\pi\) | |||||||
\(608\) | 530.629 | + | 296.810i | 0.872746 | + | 0.488175i | ||||
\(609\) | 464.310 | 0.762414 | ||||||||
\(610\) | −501.224 | − | 736.483i | −0.821679 | − | 1.20735i | ||||
\(611\) | −1.01078 | − | 0.583573i | −0.00165430 | − | 0.000955112i | ||||
\(612\) | −254.065 | + | 644.176i | −0.415139 | + | 1.05258i | ||||
\(613\) | −20.7526 | + | 35.9445i | −0.0338541 | + | 0.0586371i | −0.882456 | − | 0.470395i | \(-0.844111\pi\) |
0.848602 | + | 0.529032i | \(0.177445\pi\) | |||||||
\(614\) | 63.1398 | + | 852.105i | 0.102833 | + | 1.38779i | ||||
\(615\) | − | 1127.62i | − | 1.83353i | ||||||
\(616\) | −151.212 | + | 34.1143i | −0.245475 | + | 0.0553803i | ||||
\(617\) | 93.9887 | + | 162.793i | 0.152332 | + | 0.263846i | 0.932084 | − | 0.362242i | \(-0.117988\pi\) |
−0.779753 | + | 0.626088i | \(0.784655\pi\) | |||||||
\(618\) | −1075.07 | + | 79.6613i | −1.73960 | + | 0.128902i | ||||
\(619\) | 727.258i | 1.17489i | 0.809263 | + | 0.587446i | \(0.199867\pi\) | ||||
−0.809263 | + | 0.587446i | \(0.800133\pi\) | |||||||
\(620\) | 1247.06 | − | 991.088i | 2.01139 | − | 1.59853i | ||||
\(621\) | 11.0793 | + | 19.1898i | 0.0178410 | + | 0.0309015i | ||||
\(622\) | 54.5884 | − | 37.1509i | 0.0877628 | − | 0.0597282i | ||||
\(623\) | −194.173 | + | 112.106i | −0.311674 | + | 0.179945i | ||||
\(624\) | −790.243 | + | 845.985i | −1.26641 | + | 1.35575i | ||||
\(625\) | 226.014 | − | 391.468i | 0.361622 | − | 0.626348i | ||||
\(626\) | 235.848 | − | 488.698i | 0.376754 | − | 0.780667i | ||||
\(627\) | −316.253 | − | 382.416i | −0.504391 | − | 0.609914i | ||||
\(628\) | −196.836 | − | 247.674i | −0.313434 | − | 0.394385i | ||||
\(629\) | −418.562 | + | 724.971i | −0.665440 | + | 1.15258i | ||||
\(630\) | 306.833 | − | 208.820i | 0.487037 | − | 0.331460i | ||||
\(631\) | 482.381 | − | 278.503i | 0.764471 | − | 0.441368i | −0.0664276 | − | 0.997791i | \(-0.521160\pi\) |
0.830899 | + | 0.556424i | \(0.187827\pi\) | |||||||
\(632\) | −573.447 | − | 178.462i | −0.907353 | − | 0.282376i | ||||
\(633\) | −57.3895 | − | 99.4016i | −0.0906628 | − | 0.157033i | ||||
\(634\) | 148.454 | − | 307.610i | 0.234155 | − | 0.485189i | ||||
\(635\) | 1179.73i | 1.85785i | ||||||||
\(636\) | −974.553 | − | 384.366i | −1.53232 | − | 0.604350i | ||||
\(637\) | 346.227 | + | 599.683i | 0.543528 | + | 0.941418i | ||||
\(638\) | 416.105 | + | 200.815i | 0.652202 | + | 0.314756i | ||||
\(639\) | − | 281.244i | − | 0.440131i | ||||||
\(640\) | −829.678 | + | 472.560i | −1.29637 | + | 0.738375i | ||||
\(641\) | 18.5837 | − | 32.1880i | 0.0289918 | − | 0.0502153i | −0.851165 | − | 0.524897i | \(-0.824104\pi\) |
0.880157 | + | 0.474682i | \(0.157437\pi\) | |||||||
\(642\) | 1275.95 | − | 94.5464i | 1.98747 | − | 0.147269i | ||||
\(643\) | 500.281 | + | 288.837i | 0.778042 | + | 0.449203i | 0.835736 | − | 0.549131i | \(-0.185041\pi\) |
−0.0576938 | + | 0.998334i | \(0.518375\pi\) | |||||||
\(644\) | −72.8619 | + | 10.8575i | −0.113140 | + | 0.0168595i | ||||
\(645\) | −1131.32 | −1.75399 | ||||||||
\(646\) | −225.995 | + | 779.307i | −0.349837 | + | 1.20636i | ||||
\(647\) | 870.052i | 1.34475i | 0.740212 | + | 0.672374i | \(0.234725\pi\) | ||||
−0.740212 | + | 0.672374i | \(0.765275\pi\) | |||||||
\(648\) | −209.758 | + | 674.009i | −0.323701 | + | 1.04014i | ||||
\(649\) | 152.563 | − | 264.247i | 0.235074 | − | 0.407161i | ||||
\(650\) | 1069.21 | − | 79.2268i | 1.64493 | − | 0.121887i | ||||
\(651\) | 586.779 | + | 338.777i | 0.901351 | + | 0.520395i | ||||
\(652\) | 600.696 | + | 236.916i | 0.921313 | + | 0.363368i | ||||
\(653\) | −519.791 | −0.796004 | −0.398002 | − | 0.917384i | \(-0.630296\pi\) | ||||
−0.398002 | + | 0.917384i | \(0.630296\pi\) | |||||||
\(654\) | −666.006 | − | 321.418i | −1.01836 | − | 0.491465i | ||||
\(655\) | −73.7801 | + | 42.5969i | −0.112641 | + | 0.0650335i | ||||
\(656\) | −559.357 | + | 170.492i | −0.852679 | + | 0.259896i | ||||
\(657\) | −288.195 | −0.438653 | ||||||||
\(658\) | 0.177968 | − | 0.368764i | 0.000270468 | − | 0.000560432i | ||||
\(659\) | 481.474 | − | 277.979i | 0.730613 | − | 0.421820i | −0.0880331 | − | 0.996118i | \(-0.528058\pi\) |
0.818647 | + | 0.574298i | \(0.194725\pi\) | |||||||
\(660\) | 770.803 | − | 114.862i | 1.16788 | − | 0.174033i | ||||
\(661\) | 145.588 | + | 252.166i | 0.220254 | + | 0.381492i | 0.954885 | − | 0.296975i | \(-0.0959779\pi\) |
−0.734631 | + | 0.678467i | \(0.762645\pi\) | |||||||
\(662\) | 887.772 | − | 604.186i | 1.34105 | − | 0.912667i | ||||
\(663\) | −1337.98 | − | 772.484i | −2.01807 | − | 1.16513i | ||||
\(664\) | 94.3366 | + | 418.149i | 0.142073 | + | 0.629743i | ||||
\(665\) | 335.145 | − | 277.161i | 0.503978 | − | 0.416784i | ||||
\(666\) | 276.292 | − | 572.500i | 0.414853 | − | 0.859610i | ||||
\(667\) | 190.152 | + | 109.784i | 0.285086 | + | 0.164594i | ||||
\(668\) | 14.0645 | + | 94.3826i | 0.0210546 | + | 0.141291i | ||||
\(669\) | −543.502 | − | 941.373i | −0.812410 | − | 1.40714i | ||||
\(670\) | −832.449 | + | 566.535i | −1.24246 | + | 0.845574i | ||||
\(671\) | 326.550 | − | 188.534i | 0.486661 | − | 0.280974i | ||||
\(672\) | −316.467 | − | 254.546i | −0.470933 | − | 0.378789i | ||||
\(673\) | 130.170 | 0.193418 | 0.0967089 | − | 0.995313i | \(-0.469168\pi\) | ||||
0.0967089 | + | 0.995313i | \(0.469168\pi\) | |||||||
\(674\) | −56.5368 | + | 4.18930i | −0.0838826 | + | 0.00621558i | ||||
\(675\) | 97.9809 | − | 56.5693i | 0.145157 | − | 0.0838063i | ||||
\(676\) | −340.984 | − | 429.051i | −0.504414 | − | 0.634691i | ||||
\(677\) | −910.964 | −1.34559 | −0.672795 | − | 0.739829i | \(-0.734906\pi\) | ||||
−0.672795 | + | 0.739829i | \(0.734906\pi\) | |||||||
\(678\) | 57.2597 | + | 772.750i | 0.0844538 | + | 1.13975i | ||||
\(679\) | −317.645 | − | 183.393i | −0.467813 | − | 0.270092i | ||||
\(680\) | −864.374 | − | 936.275i | −1.27114 | − | 1.37687i | ||||
\(681\) | 224.941 | − | 389.610i | 0.330310 | − | 0.572114i | ||||
\(682\) | 379.338 | + | 557.388i | 0.556214 | + | 0.817284i | ||||
\(683\) | − | 764.129i | − | 1.11878i | −0.828904 | − | 0.559391i | \(-0.811035\pi\) | ||
0.828904 | − | 0.559391i | \(-0.188965\pi\) | |||||||
\(684\) | 127.413 | − | 602.843i | 0.186277 | − | 0.881350i | ||||
\(685\) | 43.2889 | 0.0631955 | ||||||||
\(686\) | −449.435 | + | 305.870i | −0.655154 | + | 0.445874i | ||||
\(687\) | 867.087 | + | 500.613i | 1.26213 | + | 0.728694i | ||||
\(688\) | 171.051 | + | 561.193i | 0.248621 | + | 0.815688i | ||||
\(689\) | 553.844 | − | 959.286i | 0.803838 | − | 1.39229i | ||||
\(690\) | 369.340 | − | 27.3675i | 0.535275 | − | 0.0396631i | ||||
\(691\) | 1342.83i | 1.94331i | 0.236405 | + | 0.971655i | \(0.424031\pi\) | ||||
−0.236405 | + | 0.971655i | \(0.575969\pi\) | |||||||
\(692\) | 327.224 | + | 411.737i | 0.472867 | + | 0.594996i | ||||
\(693\) | 78.5468 | + | 136.047i | 0.113343 | + | 0.196316i | ||||
\(694\) | −48.0785 | − | 648.845i | −0.0692774 | − | 0.934935i | ||||
\(695\) | 539.065i | 0.775633i | ||||||||
\(696\) | 266.403 | + | 1180.84i | 0.382763 | + | 1.69660i | ||||
\(697\) | −390.202 | − | 675.849i | −0.559830 | − | 0.969654i | ||||
\(698\) | 235.062 | + | 345.393i | 0.336765 | + | 0.494832i | ||||
\(699\) | −958.405 | + | 553.335i | −1.37111 | + | 0.791610i | ||||
\(700\) | 55.4373 | + | 372.024i | 0.0791961 | + | 0.531463i | ||||
\(701\) | 229.346 | − | 397.239i | 0.327170 | − | 0.566675i | −0.654779 | − | 0.755820i | \(-0.727238\pi\) |
0.981949 | + | 0.189145i | \(0.0605717\pi\) | |||||||
\(702\) | −116.330 | − | 56.1415i | −0.165712 | − | 0.0799737i | ||||
\(703\) | 259.761 | − | 698.116i | 0.369503 | − | 0.993052i | ||||
\(704\) | −173.520 | − | 364.991i | −0.246477 | − | 0.518454i | ||||
\(705\) | −1.02927 | + | 1.78275i | −0.00145996 | + | 0.00252872i | ||||
\(706\) | −196.898 | − | 289.316i | −0.278893 | − | 0.409797i | ||||
\(707\) | 69.6113 | − | 40.1901i | 0.0984602 | − | 0.0568460i | ||||
\(708\) | 790.702 | − | 117.827i | 1.11681 | − | 0.166422i | ||||
\(709\) | −162.265 | − | 281.052i | −0.228865 | − | 0.396406i | 0.728607 | − | 0.684932i | \(-0.240168\pi\) |
−0.957472 | + | 0.288526i | \(0.906835\pi\) | |||||||
\(710\) | 466.099 | + | 224.942i | 0.656478 | + | 0.316820i | ||||
\(711\) | 608.636i | 0.856028i | ||||||||
\(712\) | −396.518 | − | 429.501i | −0.556907 | − | 0.603232i | ||||
\(713\) | 160.205 | + | 277.484i | 0.224692 | + | 0.389177i | ||||
\(714\) | 235.578 | − | 488.139i | 0.329942 | − | 0.683668i | ||||
\(715\) | 824.005i | 1.15245i | ||||||||
\(716\) | −693.564 | − | 273.543i | −0.968664 | − | 0.382044i | ||||
\(717\) | 112.679 | − | 195.165i | 0.157153 | − | 0.272197i | ||||
\(718\) | 60.0164 | + | 809.953i | 0.0835883 | + | 1.12807i | ||||
\(719\) | 227.681 | + | 131.451i | 0.316663 | + | 0.182825i | 0.649904 | − | 0.760016i | \(-0.274809\pi\) |
−0.333241 | + | 0.942842i | \(0.608142\pi\) | |||||||
\(720\) | 707.121 | + | 660.528i | 0.982112 | + | 0.917400i | ||||
\(721\) | 399.883 | 0.554622 | ||||||||
\(722\) | 82.7533 | − | 717.242i | 0.114617 | − | 0.993410i | ||||
\(723\) | − | 906.174i | − | 1.25335i | ||||||
\(724\) | 1003.44 | − | 149.528i | 1.38597 | − | 0.206530i | ||||
\(725\) | 560.545 | − | 970.893i | 0.773166 | − | 1.33916i | ||||
\(726\) | −49.5904 | − | 669.249i | −0.0683064 | − | 0.921831i | ||||
\(727\) | −1005.65 | − | 580.614i | −1.38329 | − | 0.798643i | −0.390743 | − | 0.920500i | \(-0.627782\pi\) |
−0.992548 | + | 0.121856i | \(0.961115\pi\) | |||||||
\(728\) | 315.522 | − | 291.292i | 0.433410 | − | 0.400126i | ||||
\(729\) | 577.936 | 0.792779 | ||||||||
\(730\) | 230.502 | − | 477.619i | 0.315756 | − | 0.654273i | ||||
\(731\) | −678.068 | + | 391.482i | −0.927589 | + | 0.535544i | ||||
\(732\) | 919.021 | + | 362.465i | 1.25549 | + | 0.495170i | ||||
\(733\) | −180.481 | −0.246223 | −0.123111 | − | 0.992393i | \(-0.539287\pi\) | ||||
−0.123111 | + | 0.992393i | \(0.539287\pi\) | |||||||
\(734\) | 128.128 | + | 61.8351i | 0.174561 | + | 0.0842441i | ||||
\(735\) | 1057.68 | − | 610.654i | 1.43902 | − | 0.830821i | ||||
\(736\) | −69.4183 | − | 179.073i | −0.0943184 | − | 0.243306i | ||||
\(737\) | −213.100 | − | 369.100i | −0.289145 | − | 0.500814i | ||||
\(738\) | 333.421 | + | 489.918i | 0.451789 | + | 0.663846i | ||||
\(739\) | −983.067 | − | 567.574i | −1.33027 | − | 0.768030i | −0.344926 | − | 0.938630i | \(-0.612096\pi\) |
−0.985340 | + | 0.170600i | \(0.945429\pi\) | |||||||
\(740\) | 727.811 | + | 915.784i | 0.983528 | + | 1.23755i | ||||
\(741\) | 1288.42 | + | 479.406i | 1.73876 | + | 0.646972i | ||||
\(742\) | 349.978 | + | 168.901i | 0.471669 | + | 0.227630i | ||||
\(743\) | 562.354 | + | 324.675i | 0.756869 | + | 0.436979i | 0.828171 | − | 0.560476i | \(-0.189382\pi\) |
−0.0713013 | + | 0.997455i | \(0.522715\pi\) | |||||||
\(744\) | −524.910 | + | 1686.68i | −0.705524 | + | 2.26704i | ||||
\(745\) | 318.887 | + | 552.329i | 0.428037 | + | 0.741382i | ||||
\(746\) | 436.612 | + | 641.544i | 0.585270 | + | 0.859979i | ||||
\(747\) | 376.212 | − | 217.206i | 0.503631 | − | 0.290771i | ||||
\(748\) | 422.241 | − | 335.572i | 0.564494 | − | 0.448626i | ||||
\(749\) | −474.603 | −0.633648 | ||||||||
\(750\) | −25.7381 | − | 347.350i | −0.0343175 | − | 0.463133i | ||||
\(751\) | 183.343 | − | 105.853i | 0.244131 | − | 0.140949i | −0.372943 | − | 0.927854i | \(-0.621651\pi\) |
0.617074 | + | 0.786905i | \(0.288318\pi\) | |||||||
\(752\) | 1.03996 | + | 0.241026i | 0.00138292 | + | 0.000320514i | ||||
\(753\) | −1303.61 | −1.73122 | ||||||||
\(754\) | −1276.43 | + | 94.5819i | −1.69288 | + | 0.125440i | ||||
\(755\) | −1248.14 | − | 720.617i | −1.65317 | − | 0.954459i | ||||
\(756\) | 16.6261 | − | 42.1552i | 0.0219922 | − | 0.0557608i | ||||
\(757\) | −490.214 | + | 849.076i | −0.647575 | + | 1.12163i | 0.336126 | + | 0.941817i | \(0.390883\pi\) |
−0.983700 | + | 0.179815i | \(0.942450\pi\) | |||||||
\(758\) | 429.105 | − | 292.033i | 0.566101 | − | 0.385268i | ||||
\(759\) | 156.756i | 0.206529i | ||||||||
\(760\) | 897.172 | + | 693.320i | 1.18049 | + | 0.912263i | ||||
\(761\) | 350.204 | 0.460189 | 0.230094 | − | 0.973168i | \(-0.426096\pi\) | ||||
0.230094 | + | 0.973168i | \(0.426096\pi\) | |||||||
\(762\) | −736.065 | − | 1081.55i | −0.965965 | − | 1.41936i | ||||
\(763\) | 237.564 | + | 137.157i | 0.311355 | + | 0.179761i | ||||
\(764\) | −64.2085 | − | 25.3240i | −0.0840425 | − | 0.0331466i | ||||
\(765\) | −645.685 | + | 1118.36i | −0.844033 | + | 1.46191i | ||||
\(766\) | −95.5783 | − | 1289.88i | −0.124776 | − | 1.68392i | ||||
\(767\) | 845.277i | 1.10206i | ||||||||
\(768\) | 465.788 | − | 950.890i | 0.606495 | − | 1.23814i | ||||
\(769\) | 4.11629 | + | 7.12963i | 0.00535279 | + | 0.00927130i | 0.868689 | − | 0.495357i | \(-0.164963\pi\) |
−0.863337 | + | 0.504628i | \(0.831629\pi\) | |||||||
\(770\) | −288.290 | + | 21.3619i | −0.374403 | + | 0.0277427i | ||||
\(771\) | − | 507.919i | − | 0.658779i | ||||||
\(772\) | −260.489 | − | 327.766i | −0.337420 | − | 0.424567i | ||||
\(773\) | −55.0972 | − | 95.4312i | −0.0712772 | − | 0.123456i | 0.828184 | − | 0.560456i | \(-0.189374\pi\) |
−0.899461 | + | 0.437000i | \(0.856041\pi\) | |||||||
\(774\) | 491.526 | − | 334.515i | 0.635047 | − | 0.432190i | ||||
\(775\) | 1416.80 | − | 817.988i | 1.82812 | − | 1.05547i | ||||
\(776\) | 284.153 | − | 913.062i | 0.366177 | − | 1.17663i | ||||
\(777\) | −248.783 | + | 430.904i | −0.320184 | + | 0.554574i | ||||
\(778\) | 220.225 | − | 456.326i | 0.283066 | − | 0.586537i | ||||
\(779\) | 442.541 | + | 535.124i | 0.568089 | + | 0.686937i | ||||
\(780\) | −1690.14 | + | 1343.22i | −2.16685 | + | 1.72208i | ||||
\(781\) | −109.527 | + | 189.707i | −0.140240 | + | 0.242903i | ||||
\(782\) | 211.897 | − | 144.209i | 0.270968 | − | 0.184411i | ||||
\(783\) | −116.971 | + | 67.5331i | −0.149388 | + | 0.0862492i | ||||
\(784\) | −462.833 | − | 432.337i | −0.590348 | − | 0.551450i | ||||
\(785\) | −294.992 | − | 510.940i | −0.375786 | − | 0.650880i | ||||
\(786\) | 41.0626 | − | 85.0852i | 0.0522424 | − | 0.108251i | ||||
\(787\) | 1192.20i | 1.51487i | 0.652909 | + | 0.757436i | \(0.273548\pi\) | ||||
−0.652909 | + | 0.757436i | \(0.726452\pi\) | |||||||
\(788\) | −1.88167 | + | 4.77093i | −0.00238790 | + | 0.00605448i | ||||
\(789\) | −56.7011 | − | 98.2092i | −0.0718645 | − | 0.124473i | ||||
\(790\) | −1008.68 | − | 486.794i | −1.27681 | − | 0.616194i | ||||
\(791\) | − | 287.431i | − | 0.363377i | ||||||
\(792\) | −300.929 | + | 277.819i | −0.379961 | + | 0.350782i | ||||
\(793\) | −522.285 | + | 904.625i | −0.658620 | + | 1.14076i | ||||
\(794\) | 103.113 | − | 7.64056i | 0.129866 | − | 0.00962287i | ||||
\(795\) | −1691.93 | − | 976.836i | −2.12821 | − | 1.22872i | ||||
\(796\) | −165.613 | − | 1111.38i | −0.208057 | − | 1.39621i | ||||
\(797\) | 1469.03 | 1.84320 | 0.921600 | − | 0.388140i | \(-0.126882\pi\) | ||||
0.921600 | + | 0.388140i | \(0.126882\pi\) | |||||||
\(798\) | −134.326 | + | 463.201i | −0.168328 | + | 0.580452i | ||||
\(799\) | 1.42467i | 0.00178307i | ||||||||
\(800\) | −914.327 | + | 354.441i | −1.14291 | + | 0.443052i | ||||
\(801\) | −296.197 | + | 513.029i | −0.369785 | + | 0.640486i | ||||
\(802\) | −272.890 | + | 20.2208i | −0.340262 | + | 0.0252130i | ||||
\(803\) | 194.396 | + | 112.234i | 0.242087 | + | 0.139769i | ||||
\(804\) | 409.695 | − | 1038.77i | 0.509571 | − | 1.29201i | ||||
\(805\) | −137.379 | −0.170657 | ||||||||
\(806\) | −1682.12 | − | 811.802i | −2.08700 | − | 1.00720i | ||||
\(807\) | 1357.63 | − | 783.829i | 1.68232 | − | 0.971288i | ||||
\(808\) | 142.152 | + | 153.977i | 0.175931 | + | 0.190565i | ||||
\(809\) | 999.530 | 1.23551 | 0.617756 | − | 0.786369i | \(-0.288042\pi\) | ||||
0.617756 | + | 0.786369i | \(0.288042\pi\) | |||||||
\(810\) | −572.160 | + | 1185.57i | −0.706371 | + | 1.46366i | ||||
\(811\) | 261.997 | − | 151.264i | 0.323054 | − | 0.186515i | −0.329699 | − | 0.944086i | \(-0.606947\pi\) |
0.652753 | + | 0.757571i | \(0.273614\pi\) | |||||||
\(812\) | −66.1817 | − | 444.127i | −0.0815046 | − | 0.546954i | ||||
\(813\) | 545.690 | + | 945.163i | 0.671205 | + | 1.16256i | ||||
\(814\) | −409.321 | + | 278.569i | −0.502851 | + | 0.342222i | ||||
\(815\) | 1042.87 | + | 602.103i | 1.27960 | + | 0.738777i | ||||
\(816\) | 1376.60 | + | 319.050i | 1.68702 | + | 0.390993i | ||||
\(817\) | 536.880 | − | 443.994i | 0.657136 | − | 0.543444i | ||||
\(818\) | −149.275 | + | 309.312i | −0.182488 | + | 0.378132i | ||||
\(819\) | −376.884 | − | 217.594i | −0.460176 | − | 0.265683i | ||||
\(820\) | −1078.60 | + | 160.729i | −1.31537 | + | 0.196010i | ||||
\(821\) | 478.711 | + | 829.151i | 0.583083 | + | 1.00993i | 0.995111 | + | 0.0987578i | \(0.0314869\pi\) |
−0.412029 | + | 0.911171i | \(0.635180\pi\) | |||||||
\(822\) | −39.6863 | + | 27.0091i | −0.0482802 | + | 0.0328578i | ||||
\(823\) | 75.6377 | − | 43.6694i | 0.0919048 | − | 0.0530613i | −0.453343 | − | 0.891336i | \(-0.649769\pi\) |
0.545248 | + | 0.838275i | \(0.316435\pi\) | |||||||
\(824\) | 229.437 | + | 1016.99i | 0.278443 | + | 1.23421i | ||||
\(825\) | 800.376 | 0.970152 | ||||||||
\(826\) | −295.732 | + | 21.9134i | −0.358030 | + | 0.0265295i | ||||
\(827\) | −1162.10 | + | 670.937i | −1.40520 | + | 0.811290i | −0.994920 | − | 0.100671i | \(-0.967901\pi\) |
−0.410277 | + | 0.911961i | \(0.634568\pi\) | |||||||
\(828\) | −152.375 | + | 121.099i | −0.184028 | + | 0.146254i | ||||
\(829\) | 8.90179 | 0.0107380 | 0.00536899 | − | 0.999986i | \(-0.498291\pi\) | ||||
0.00536899 | + | 0.999986i | \(0.498291\pi\) | |||||||
\(830\) | 59.0722 | + | 797.212i | 0.0711714 | + | 0.960496i | ||||
\(831\) | −660.607 | − | 381.402i | −0.794955 | − | 0.458967i | ||||
\(832\) | 921.851 | + | 635.307i | 1.10799 | + | 0.763590i | ||||
\(833\) | 422.621 | − | 732.002i | 0.507348 | − | 0.878753i | ||||
\(834\) | −336.336 | − | 494.202i | −0.403281 | − | 0.592569i | ||||
\(835\) | 177.956i | 0.213121i | ||||||||
\(836\) | −320.715 | + | 357.015i | −0.383630 | + | 0.427051i | ||||
\(837\) | −197.098 | −0.235482 | ||||||||
\(838\) | 983.076 | − | 669.046i | 1.17312 | − | 0.798384i | ||||
\(839\) | 445.653 | + | 257.298i | 0.531171 | + | 0.306672i | 0.741493 | − | 0.670960i | \(-0.234118\pi\) |
−0.210322 | + | 0.977632i | \(0.567451\pi\) | |||||||
\(840\) | −513.762 | − | 556.498i | −0.611622 | − | 0.662498i | ||||
\(841\) | −248.686 | + | 430.737i | −0.295703 | + | 0.512172i | ||||
\(842\) | 189.229 | − | 14.0216i | 0.224738 | − | 0.0166528i | ||||
\(843\) | − | 555.369i | − | 0.658801i | ||||||
\(844\) | −86.9005 | + | 69.0634i | −0.102963 | + | 0.0818286i | ||||
\(845\) | −511.020 | − | 885.113i | −0.604758 | − | 1.04747i | ||||
\(846\) | −0.0799444 | − | 1.07889i | −9.44969e−5 | − | 0.00127529i | ||||
\(847\) | 248.933i | 0.293900i | ||||||||
\(848\) | −228.748 | + | 986.977i | −0.269750 | + | 1.16389i | ||||
\(849\) | −483.737 | − | 837.857i | −0.569772 | − | 0.986875i | ||||
\(850\) | −736.314 | − | 1081.92i | −0.866252 | − | 1.27284i | ||||
\(851\) | −203.771 | + | 117.647i | −0.239449 | + | 0.138246i | ||||
\(852\) | −567.656 | + | 84.5895i | −0.666263 | + | 0.0992834i | ||||
\(853\) | −624.914 | + | 1082.38i | −0.732608 | + | 1.26891i | 0.223157 | + | 0.974782i | \(0.428364\pi\) |
−0.955765 | + | 0.294131i | \(0.904970\pi\) | |||||||
\(854\) | −330.036 | − | 159.277i | −0.386459 | − | 0.186507i | ||||
\(855\) | 400.714 | − | 1076.93i | 0.468671 | − | 1.25957i | ||||
\(856\) | −272.308 | − | 1207.01i | −0.318117 | − | 1.41006i | ||||
\(857\) | −667.432 | + | 1156.03i | −0.778800 | + | 1.34892i | 0.153833 | + | 0.988097i | \(0.450838\pi\) |
−0.932634 | + | 0.360825i | \(0.882495\pi\) | |||||||
\(858\) | −514.118 | − | 755.429i | −0.599205 | − | 0.880453i | ||||
\(859\) | 842.118 | − | 486.197i | 0.980346 | − | 0.566003i | 0.0779717 | − | 0.996956i | \(-0.475156\pi\) |
0.902375 | + | 0.430952i | \(0.141822\pi\) | |||||||
\(860\) | 161.256 | + | 1082.14i | 0.187507 | + | 1.25831i | ||||
\(861\) | −231.926 | − | 401.708i | −0.269368 | − | 0.466559i | ||||
\(862\) | −924.648 | − | 446.240i | −1.07268 | − | 0.517680i | ||||
\(863\) | − | 305.746i | − | 0.354283i | −0.984185 | − | 0.177141i | \(-0.943315\pi\) | ||
0.984185 | − | 0.177141i | \(-0.0566850\pi\) | |||||||
\(864\) | 116.749 | + | 18.0967i | 0.135126 | + | 0.0209453i | ||||
\(865\) | 490.399 | + | 849.396i | 0.566935 | + | 0.981960i | ||||
\(866\) | 595.881 | − | 1234.72i | 0.688084 | − | 1.42577i | ||||
\(867\) | 690.527i | 0.796456i | ||||||||
\(868\) | 240.413 | − | 609.561i | 0.276973 | − | 0.702259i | ||||
\(869\) | 237.027 | − | 410.542i | 0.272758 | − | 0.472430i | ||||
\(870\) | 166.818 | + | 2251.29i | 0.191744 | + | 2.58769i | ||||
\(871\) | 1022.50 | + | 590.341i | 1.17394 | + | 0.677773i | ||||
\(872\) | −212.515 | + | 682.870i | −0.243710 | + | 0.783107i | ||||
\(873\) | −969.091 | −1.11007 | ||||||||
\(874\) | −164.533 | + | 157.937i | −0.188253 | + | 0.180706i | ||||
\(875\) | 129.200i | 0.147657i | ||||||||
\(876\) | 86.6801 | + | 581.686i | 0.0989499 | + | 0.664025i | ||||
\(877\) | 388.515 | − | 672.928i | 0.443005 | − | 0.767307i | −0.554906 | − | 0.831913i | \(-0.687246\pi\) |
0.997911 | + | 0.0646060i | \(0.0205790\pi\) | |||||||
\(878\) | −76.7970 | − | 1036.42i | −0.0874681 | − | 1.18043i | ||||
\(879\) | −383.287 | − | 221.291i | −0.436048 | − | 0.251753i | ||||
\(880\) | −219.737 | − | 720.925i | −0.249701 | − | 0.819233i | ||||
\(881\) | 854.598 | 0.970032 | 0.485016 | − | 0.874505i | \(-0.338814\pi\) | ||||
0.485016 | + | 0.874505i | \(0.338814\pi\) | |||||||
\(882\) | −278.971 | + | 578.053i | −0.316294 | + | 0.655389i | ||||
\(883\) | 1009.36 | − | 582.756i | 1.14311 | − | 0.659973i | 0.195908 | − | 0.980622i | \(-0.437234\pi\) |
0.947198 | + | 0.320649i | \(0.103901\pi\) | |||||||
\(884\) | −548.192 | + | 1389.93i | −0.620127 | + | 1.57232i | ||||
\(885\) | 1490.85 | 1.68457 | ||||||||
\(886\) | −25.1695 | − | 12.1470i | −0.0284081 | − | 0.0137099i | ||||
\(887\) | 75.3939 | − | 43.5287i | 0.0849988 | − | 0.0490741i | −0.456898 | − | 0.889519i | \(-0.651040\pi\) |
0.541897 | + | 0.840445i | \(0.317706\pi\) | |||||||
\(888\) | −1238.62 | − | 385.470i | −1.39484 | − | 0.434088i | ||||
\(889\) | 242.644 | + | 420.273i | 0.272941 | + | 0.472747i | ||||
\(890\) | −613.329 | − | 901.208i | −0.689134 | − | 1.01259i | ||||
\(891\) | −482.537 | − | 278.593i | −0.541568 | − | 0.312674i | ||||
\(892\) | −822.983 | + | 654.058i | −0.922627 | + | 0.733249i | ||||
\(893\) | −0.211199 | − | 1.24996i | −0.000236505 | − | 0.00139974i | ||||
\(894\) | −636.961 | − | 307.401i | −0.712484 | − | 0.343849i | ||||
\(895\) | −1204.10 | − | 695.188i | −1.34536 | − | 0.776747i | ||||
\(896\) | −198.373 | + | 338.993i | −0.221398 | + | 0.378340i | ||||
\(897\) | −217.126 | − | 376.074i | −0.242058 | − | 0.419258i | ||||
\(898\) | 771.480 | + | 1133.59i | 0.859109 | + | 1.26235i | ||||
\(899\) | −1691.39 | + | 976.524i | −1.88141 | + | 1.08623i | ||||
\(900\) | 618.315 | + | 778.008i | 0.687016 | + | 0.864454i | ||||
\(901\) | −1352.10 | −1.50066 | ||||||||
\(902\) | −34.1084 | − | 460.311i | −0.0378141 | − | 0.510322i | ||||
\(903\) | −403.026 | + | 232.687i | −0.446319 | + | 0.257683i | ||||
\(904\) | 730.998 | − | 164.917i | 0.808626 | − | 0.182430i | ||||
\(905\) | 1891.96 | 2.09056 | ||||||||
\(906\) | 1593.88 | − | 118.104i | 1.75925 | − | 0.130358i | ||||
\(907\) | −101.748 | − | 58.7440i | −0.112180 | − | 0.0647674i | 0.442860 | − | 0.896591i | \(-0.353964\pi\) |
−0.555040 | + | 0.831823i | \(0.687297\pi\) | |||||||
\(908\) | −404.737 | − | 159.629i | −0.445745 | − | 0.175803i | ||||
\(909\) | 106.187 | − | 183.922i | 0.116818 | − | 0.202334i | ||||
\(910\) | 662.050 | − | 450.567i | 0.727527 | − | 0.495129i | ||||
\(911\) | 504.310i | 0.553579i | 0.960931 | + | 0.276789i | \(0.0892705\pi\) | ||||
−0.960931 | + | 0.276789i | \(0.910730\pi\) | |||||||
\(912\) | −1255.09 | − | 75.8517i | −1.37619 | − | 0.0831708i | ||||
\(913\) | −338.354 | −0.370596 | ||||||||
\(914\) | 820.347 | + | 1205.39i | 0.897535 | + | 1.31881i | ||||
\(915\) | 1595.52 | + | 921.174i | 1.74374 | + | 1.00675i | ||||
\(916\) | 355.259 | − | 900.752i | 0.387837 | − | 0.983353i | ||||
\(917\) | −17.5225 | + | 30.3498i | −0.0191085 | + | 0.0330968i | ||||
\(918\) | 11.6511 | + | 157.238i | 0.0126919 | + | 0.171284i | ||||
\(919\) | 42.9261i | 0.0467096i | 0.999727 | + | 0.0233548i | \(0.00743474\pi\) | ||||
−0.999727 | + | 0.0233548i | \(0.992565\pi\) | |||||||
\(920\) | −78.8228 | − | 349.384i | −0.0856769 | − | 0.379765i | ||||
\(921\) | −883.515 | − | 1530.29i | −0.959299 | − | 1.66155i | ||||
\(922\) | 671.541 | − | 49.7603i | 0.728353 | − | 0.0539699i | ||||
\(923\) | − | 606.836i | − | 0.657461i | ||||||
\(924\) | 250.970 | − | 199.456i | 0.271612 | − | 0.215861i | ||||
\(925\) | 600.693 | + | 1040.43i | 0.649398 | + | 1.12479i | ||||
\(926\) | −712.088 | + | 484.622i | −0.768994 | + | 0.523350i | ||||
\(927\) | 914.989 | − | 528.269i | 0.987043 | − | 0.569870i | ||||
\(928\) | 1091.53 | − | 423.136i | 1.17622 | − | 0.455966i | ||||
\(929\) | −520.994 | + | 902.388i | −0.560812 | + | 0.971355i | 0.436614 | + | 0.899649i | \(0.356178\pi\) |
−0.997426 | + | 0.0717057i | \(0.977156\pi\) | |||||||
\(930\) | −1431.81 | + | 2966.83i | −1.53958 | + | 3.19013i | ||||
\(931\) | −262.280 | + | 704.886i | −0.281719 | + | 0.757128i | ||||
\(932\) | 665.892 | + | 837.873i | 0.714476 | + | 0.899005i | ||||
\(933\) | −68.2778 | + | 118.261i | −0.0731809 | + | 0.126753i | ||||
\(934\) | 756.462 | − | 514.821i | 0.809917 | − | 0.551200i | ||||
\(935\) | 871.065 | − | 502.910i | 0.931621 | − | 0.537871i | ||||
\(936\) | 337.146 | − | 1083.34i | 0.360199 | − | 1.15742i | ||||
\(937\) | 656.515 | + | 1137.12i | 0.700657 | + | 1.21357i | 0.968236 | + | 0.250037i | \(0.0804429\pi\) |
−0.267579 | + | 0.963536i | \(0.586224\pi\) | |||||||
\(938\) | −180.031 | + | 373.041i | −0.191931 | + | 0.397698i | ||||
\(939\) | 1122.19i | 1.19509i | ||||||||
\(940\) | 1.85196 | + | 0.730419i | 0.00197017 | + | 0.000777042i | ||||
\(941\) | −113.842 | − | 197.181i | −0.120980 | − | 0.209544i | 0.799174 | − | 0.601099i | \(-0.205270\pi\) |
−0.920154 | + | 0.391556i | \(0.871937\pi\) | |||||||
\(942\) | 589.230 | + | 284.366i | 0.625510 | + | 0.301874i | ||||
\(943\) | − | 219.352i | − | 0.232611i | ||||||
\(944\) | −225.410 | − | 739.536i | −0.238782 | − | 0.783407i | ||||
\(945\) | 42.2539 | − | 73.1860i | 0.0447132 | − | 0.0774455i | ||||
\(946\) | −461.822 | + | 34.2203i | −0.488183 | + | 0.0361737i | ||||
\(947\) | −1170.65 | − | 675.874i | −1.23617 | − | 0.713700i | −0.267857 | − | 0.963459i | \(-0.586315\pi\) |
−0.968308 | + | 0.249758i | \(0.919649\pi\) | |||||||
\(948\) | 1228.46 | − | 183.059i | 1.29584 | − | 0.193100i | ||||
\(949\) | −621.835 | −0.655252 | ||||||||
\(950\) | 806.406 | + | 840.087i | 0.848849 | + | 0.884302i | ||||
\(951\) | 706.362i | 0.742757i | ||||||||
\(952\) | −500.499 | − | 155.760i | −0.525734 | − | 0.163613i | ||||
\(953\) | −139.358 | + | 241.375i | −0.146230 | + | 0.253279i | −0.929831 | − | 0.367986i | \(-0.880047\pi\) |
0.783601 | + | 0.621265i | \(0.213381\pi\) | |||||||
\(954\) | 1023.93 | − | 75.8718i | 1.07330 | − | 0.0795301i | ||||
\(955\) | −111.473 | − | 64.3589i | −0.116726 | − | 0.0673915i | ||||
\(956\) | −202.742 | − | 79.9622i | −0.212074 | − | 0.0836425i | ||||
\(957\) | −955.499 | −0.998431 | ||||||||
\(958\) | 1624.38 | + | 783.933i | 1.69559 | + | 0.818301i | ||||
\(959\) | 15.4214 | − | 8.90356i | 0.0160807 | − | 0.00928421i | ||||
\(960\) | 1120.51 | − | 1625.90i | 1.16720 | − | 1.69365i | ||||
\(961\) | −1889.03 | −1.96569 | ||||||||
\(962\) | 596.151 | − | 1235.28i | 0.619700 | − | 1.28407i | ||||
\(963\) | −1085.96 | + | 626.979i | −1.12768 | + | 0.651068i | ||||
\(964\) | −866.784 | + | 129.164i | −0.899153 | + | 0.133988i | ||||
\(965\) | −390.385 | − | 676.166i | −0.404544 | − | 0.700691i | ||||
\(966\) | 125.946 | − | 85.7143i | 0.130379 | − | 0.0887312i | ||||
\(967\) | −387.370 | − | 223.648i | −0.400590 | − | 0.231280i | 0.286149 | − | 0.958185i | \(-0.407625\pi\) |
−0.686738 | + | 0.726905i | \(0.740958\pi\) | |||||||
\(968\) | −633.089 | + | 142.828i | −0.654018 | + | 0.147550i | ||||
\(969\) | −279.567 | − | 1654.60i | −0.288511 | − | 1.70753i | ||||
\(970\) | 775.090 | − | 1606.05i | 0.799061 | − | 1.65572i | ||||
\(971\) | 233.005 | + | 134.526i | 0.239964 | + | 0.138543i | 0.615160 | − | 0.788402i | \(-0.289091\pi\) |
−0.375196 | + | 0.926945i | \(0.622425\pi\) | |||||||
\(972\) | −195.571 | − | 1312.42i | −0.201205 | − | 1.35023i | ||||
\(973\) | 110.874 | + | 192.039i | 0.113950 | + | 0.197368i | ||||
\(974\) | −189.542 | + | 128.996i | −0.194602 | + | 0.132439i | ||||
\(975\) | −1920.19 | + | 1108.62i | −1.96942 | + | 1.13705i | ||||
\(976\) | 215.713 | − | 930.738i | 0.221018 | − | 0.953624i | ||||
\(977\) | 849.608 | 0.869609 | 0.434805 | − | 0.900525i | \(-0.356817\pi\) | ||||
0.434805 | + | 0.900525i | \(0.356817\pi\) | |||||||
\(978\) | −1331.75 | + | 98.6807i | −1.36171 | + | 0.100901i | ||||
\(979\) | 399.587 | − | 230.702i | 0.408158 | − | 0.235650i | ||||
\(980\) | −734.869 | − | 924.666i | −0.749867 | − | 0.943537i | ||||
\(981\) | 724.773 | 0.738811 | ||||||||
\(982\) | −122.893 | − | 1658.50i | −0.125145 | − | 1.68890i | ||||
\(983\) | 17.4539 | + | 10.0770i | 0.0177558 | + | 0.0102513i | 0.508852 | − | 0.860854i | \(-0.330070\pi\) |
−0.491096 | + | 0.871106i | \(0.663404\pi\) | |||||||
\(984\) | 888.556 | − | 820.320i | 0.903005 | − | 0.833659i | ||||
\(985\) | −4.78211 | + | 8.28285i | −0.00485493 | + | 0.00840899i | ||||
\(986\) | 879.021 | + | 1291.61i | 0.891502 | + | 1.30995i | ||||
\(987\) | 0.846790i | 0.000857944i | ||||||||
\(988\) | 274.918 | − | 1300.75i | 0.278257 | − | 1.31655i | ||||
\(989\) | −220.072 | −0.222520 | ||||||||
\(990\) | −631.429 | + | 429.728i | −0.637807 | + | 0.434068i | ||||
\(991\) | 895.785 | + | 517.182i | 0.903921 | + | 0.521879i | 0.878470 | − | 0.477797i | \(-0.158565\pi\) |
0.0254506 | + | 0.999676i | \(0.491898\pi\) | |||||||
\(992\) | 1688.18 | + | 261.677i | 1.70179 | + | 0.263788i | ||||
\(993\) | −1110.40 | + | 1923.27i | −1.11823 | + | 1.93683i | ||||
\(994\) | 212.310 | − | 15.7319i | 0.213592 | − | 0.0158269i | ||||
\(995\) | − | 2095.48i | − | 2.10601i | ||||||
\(996\) | −551.557 | − | 694.009i | −0.553772 | − | 0.696796i | ||||
\(997\) | −827.413 | − | 1433.12i | −0.829902 | − | 1.43743i | −0.898114 | − | 0.439762i | \(-0.855063\pi\) |
0.0682120 | − | 0.997671i | \(-0.478271\pi\) | |||||||
\(998\) | 39.5074 | + | 533.173i | 0.0395866 | + | 0.534242i | ||||
\(999\) | − | 144.740i | − | 0.144885i |
(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 | 76.3.g.c.11.11 | yes | 28 | |
4.3 | odd | 2 | inner | 76.3.g.c.11.1 | yes | 28 | |
19.7 | even | 3 | inner | 76.3.g.c.7.1 | ✓ | 28 | |
76.7 | odd | 6 | inner | 76.3.g.c.7.11 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.g.c.7.1 | ✓ | 28 | 19.7 | even | 3 | inner | |
76.3.g.c.7.11 | yes | 28 | 76.7 | odd | 6 | inner | |
76.3.g.c.11.1 | yes | 28 | 4.3 | odd | 2 | inner | |
76.3.g.c.11.11 | yes | 28 | 1.1 | even | 1 | trivial |