Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), degree \(20\), 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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 223.5 | ||
Character | \(\chi\) | \(=\) | 230.223 |
Dual form | 230.3.k.b.197.5 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.100889 | − | 1.41061i | −0.0504444 | − | 0.705305i | ||||
\(3\) | −0.509045 | − | 0.110736i | −0.169682 | − | 0.0369120i | 0.126922 | − | 0.991913i | \(-0.459490\pi\) |
−0.296603 | + | 0.955001i | \(0.595854\pi\) | |||||||
\(4\) | −1.97964 | + | 0.284630i | −0.494911 | + | 0.0711574i | ||||
\(5\) | 2.51138 | − | 4.32353i | 0.502277 | − | 0.864707i | ||||
\(6\) | −0.104848 | + | 0.729237i | −0.0174747 | + | 0.121539i | ||||
\(7\) | 3.12441 | − | 5.72192i | 0.446344 | − | 0.817417i | −0.553538 | − | 0.832824i | \(-0.686723\pi\) |
0.999881 | + | 0.0154068i | \(0.00490433\pi\) | |||||||
\(8\) | 0.601225 | + | 2.76379i | 0.0751532 | + | 0.345474i | ||||
\(9\) | −7.93982 | − | 3.62600i | −0.882203 | − | 0.402888i | ||||
\(10\) | −6.35219 | − | 3.10639i | −0.635219 | − | 0.310639i | ||||
\(11\) | 8.03552 | + | 9.27349i | 0.730502 | + | 0.843044i | 0.992528 | − | 0.122017i | \(-0.0389361\pi\) |
−0.262026 | + | 0.965061i | \(0.584391\pi\) | |||||||
\(12\) | 1.03925 | + | 0.0743284i | 0.0866039 | + | 0.00619403i | ||||
\(13\) | 0.106706 | + | 0.195417i | 0.00820816 | + | 0.0150321i | 0.881751 | − | 0.471715i | \(-0.156365\pi\) |
−0.873543 | + | 0.486747i | \(0.838183\pi\) | |||||||
\(14\) | −8.38662 | − | 3.83004i | −0.599044 | − | 0.273574i | ||||
\(15\) | −1.75718 | + | 1.92277i | −0.117145 | + | 0.128185i | ||||
\(16\) | 3.83797 | − | 1.12693i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −18.8281 | − | 25.1514i | −1.10753 | − | 1.47949i | −0.859776 | − | 0.510671i | \(-0.829397\pi\) |
−0.247759 | − | 0.968822i | \(-0.579694\pi\) | |||||||
\(18\) | −4.31383 | + | 11.5658i | −0.239657 | + | 0.642546i | ||||
\(19\) | 0.992090 | − | 0.142641i | 0.0522153 | − | 0.00750742i | −0.116158 | − | 0.993231i | \(-0.537058\pi\) |
0.168373 | + | 0.985723i | \(0.446149\pi\) | |||||||
\(20\) | −3.74104 | + | 9.27387i | −0.187052 | + | 0.463693i | ||||
\(21\) | −2.22409 | + | 2.56673i | −0.105909 | + | 0.122225i | ||||
\(22\) | 12.2706 | − | 12.2706i | 0.557754 | − | 0.557754i | ||||
\(23\) | −18.7736 | − | 13.2873i | −0.816242 | − | 0.577711i | ||||
\(24\) | − | 1.47347i | − | 0.0613946i | ||||||
\(25\) | −12.3859 | − | 21.7161i | −0.495436 | − | 0.868644i | ||||
\(26\) | 0.264892 | − | 0.170236i | 0.0101882 | − | 0.00654754i | ||||
\(27\) | 7.39358 | + | 5.53477i | 0.273836 | + | 0.204991i | ||||
\(28\) | −4.55658 | + | 12.2167i | −0.162735 | + | 0.436309i | ||||
\(29\) | 6.83846 | + | 0.983222i | 0.235809 | + | 0.0339042i | 0.259206 | − | 0.965822i | \(-0.416539\pi\) |
−0.0233971 | + | 0.999726i | \(0.507448\pi\) | |||||||
\(30\) | 2.88957 | + | 2.28471i | 0.0963188 | + | 0.0761570i | ||||
\(31\) | −47.7322 | − | 30.6756i | −1.53975 | − | 0.989536i | −0.987812 | − | 0.155650i | \(-0.950253\pi\) |
−0.551937 | − | 0.833886i | \(-0.686111\pi\) | |||||||
\(32\) | −1.97687 | − | 5.30019i | −0.0617771 | − | 0.165631i | ||||
\(33\) | −3.06354 | − | 5.61045i | −0.0928344 | − | 0.170014i | ||||
\(34\) | −33.5793 | + | 29.0966i | −0.987625 | + | 0.855782i | ||||
\(35\) | −16.8923 | − | 27.8784i | −0.482638 | − | 0.796526i | ||||
\(36\) | 16.7501 | + | 4.91827i | 0.465280 | + | 0.136619i | ||||
\(37\) | 21.7620 | + | 58.3461i | 0.588161 | + | 1.57692i | 0.800247 | + | 0.599670i | \(0.204702\pi\) |
−0.212086 | + | 0.977251i | \(0.568026\pi\) | |||||||
\(38\) | −0.301302 | − | 1.38506i | −0.00792899 | − | 0.0364490i | ||||
\(39\) | −0.0326784 | − | 0.111293i | −0.000837909 | − | 0.00285366i | ||||
\(40\) | 13.4592 | + | 4.34152i | 0.336481 | + | 0.108538i | ||||
\(41\) | 12.0341 | + | 26.3510i | 0.293515 | + | 0.642708i | 0.997735 | − | 0.0672743i | \(-0.0214302\pi\) |
−0.704220 | + | 0.709982i | \(0.748703\pi\) | |||||||
\(42\) | 3.84505 | + | 2.87837i | 0.0915487 | + | 0.0685325i | ||||
\(43\) | 50.6896 | + | 11.0269i | 1.17883 | + | 0.256439i | 0.758954 | − | 0.651144i | \(-0.225711\pi\) |
0.419874 | + | 0.907582i | \(0.362074\pi\) | |||||||
\(44\) | −18.5470 | − | 16.0710i | −0.421522 | − | 0.365251i | ||||
\(45\) | −35.6171 | + | 25.2218i | −0.791490 | + | 0.560485i | ||||
\(46\) | −16.8492 | + | 27.8227i | −0.366288 | + | 0.604842i | ||||
\(47\) | 53.9305 | − | 53.9305i | 1.14746 | − | 1.14746i | 0.160405 | − | 0.987051i | \(-0.448720\pi\) |
0.987051 | − | 0.160405i | \(-0.0512802\pi\) | |||||||
\(48\) | −2.07849 | + | 0.148657i | −0.0433019 | + | 0.00309702i | ||||
\(49\) | 3.51293 | + | 5.46622i | 0.0716924 | + | 0.111555i | ||||
\(50\) | −29.3834 | + | 19.6626i | −0.587667 | + | 0.393252i | ||||
\(51\) | 6.79919 | + | 14.8881i | 0.133317 | + | 0.291924i | ||||
\(52\) | −0.266861 | − | 0.356485i | −0.00513195 | − | 0.00685548i | ||||
\(53\) | 65.3249 | + | 35.6701i | 1.23255 | + | 0.673021i | 0.957506 | − | 0.288412i | \(-0.0931272\pi\) |
0.275040 | + | 0.961433i | \(0.411309\pi\) | |||||||
\(54\) | 7.06147 | − | 10.9879i | 0.130768 | − | 0.203479i | ||||
\(55\) | 60.2745 | − | 11.4526i | 1.09590 | − | 0.208228i | ||||
\(56\) | 17.6927 | + | 5.19503i | 0.315940 | + | 0.0927684i | ||||
\(57\) | −0.520814 | − | 0.0372494i | −0.00913709 | − | 0.000653498i | ||||
\(58\) | 0.697019 | − | 9.74560i | 0.0120176 | − | 0.168028i | ||||
\(59\) | 14.4643 | − | 49.2610i | 0.245158 | − | 0.834933i | −0.741335 | − | 0.671135i | \(-0.765807\pi\) |
0.986494 | − | 0.163798i | \(-0.0523746\pi\) | |||||||
\(60\) | 2.93131 | − | 4.30655i | 0.0488552 | − | 0.0717759i | ||||
\(61\) | −75.0546 | − | 48.2347i | −1.23040 | − | 0.790732i | −0.246450 | − | 0.969156i | \(-0.579264\pi\) |
−0.983954 | + | 0.178423i | \(0.942900\pi\) | |||||||
\(62\) | −38.4557 | + | 70.4264i | −0.620253 | + | 1.13591i | ||||
\(63\) | −45.5549 | + | 34.1020i | −0.723093 | + | 0.541301i | ||||
\(64\) | −7.27706 | + | 3.32332i | −0.113704 | + | 0.0519269i | ||||
\(65\) | 1.11287 | + | 0.0294213i | 0.0171211 | + | 0.000452635i | ||||
\(66\) | −7.60508 | + | 4.88749i | −0.115228 | + | 0.0740528i | ||||
\(67\) | −1.93264 | − | 27.0219i | −0.0288454 | − | 0.403311i | −0.991278 | − | 0.131790i | \(-0.957928\pi\) |
0.962432 | − | 0.271522i | \(-0.0875269\pi\) | |||||||
\(68\) | 44.4317 | + | 44.4317i | 0.653408 | + | 0.653408i | ||||
\(69\) | 8.08520 | + | 8.84277i | 0.117177 | + | 0.128156i | ||||
\(70\) | −37.6213 | + | 26.6411i | −0.537448 | + | 0.380588i | ||||
\(71\) | 6.14596 | − | 7.09282i | 0.0865629 | − | 0.0998989i | −0.710816 | − | 0.703378i | \(-0.751674\pi\) |
0.797379 | + | 0.603479i | \(0.206219\pi\) | |||||||
\(72\) | 5.24786 | − | 24.1240i | 0.0728870 | − | 0.335056i | ||||
\(73\) | 46.7220 | − | 62.4132i | 0.640027 | − | 0.854976i | −0.356833 | − | 0.934168i | \(-0.616143\pi\) |
0.996859 | + | 0.0791927i | \(0.0252343\pi\) | |||||||
\(74\) | 80.1081 | − | 36.5841i | 1.08254 | − | 0.494380i | ||||
\(75\) | 3.90023 | + | 12.4261i | 0.0520030 | + | 0.165681i | ||||
\(76\) | −1.92338 | + | 0.564756i | −0.0253077 | + | 0.00743100i | ||||
\(77\) | 78.1684 | − | 17.0045i | 1.01517 | − | 0.220838i | ||||
\(78\) | −0.153694 | + | 0.0573247i | −0.00197043 | + | 0.000734932i | ||||
\(79\) | 4.01425 | − | 13.6713i | 0.0508133 | − | 0.173054i | −0.930177 | − | 0.367112i | \(-0.880347\pi\) |
0.980990 | + | 0.194057i | \(0.0621648\pi\) | |||||||
\(80\) | 4.76630 | − | 19.4238i | 0.0595788 | − | 0.242797i | ||||
\(81\) | 48.2934 | + | 55.7336i | 0.596215 | + | 0.688069i | ||||
\(82\) | 35.9569 | − | 19.6340i | 0.438499 | − | 0.239439i | ||||
\(83\) | 140.709 | − | 52.4819i | 1.69529 | − | 0.632312i | 0.698749 | − | 0.715367i | \(-0.253740\pi\) |
0.996545 | + | 0.0830551i | \(0.0264677\pi\) | |||||||
\(84\) | 3.67233 | − | 5.71426i | 0.0437182 | − | 0.0680269i | ||||
\(85\) | −156.027 | + | 18.2391i | −1.83562 | + | 0.214578i | ||||
\(86\) | 10.4406 | − | 72.6158i | 0.121402 | − | 0.844370i | ||||
\(87\) | −3.37221 | − | 1.25777i | −0.0387610 | − | 0.0144571i | ||||
\(88\) | −20.7988 | + | 27.7839i | −0.236350 | + | 0.315727i | ||||
\(89\) | 69.6061 | + | 108.309i | 0.782091 | + | 1.21696i | 0.971959 | + | 0.235148i | \(0.0755576\pi\) |
−0.189868 | + | 0.981810i | \(0.560806\pi\) | |||||||
\(90\) | 39.1715 | + | 47.6972i | 0.435239 | + | 0.529969i | ||||
\(91\) | 1.45156 | 0.0159512 | ||||||||
\(92\) | 40.9469 | + | 20.9607i | 0.445075 | + | 0.227834i | ||||
\(93\) | 20.9010 | + | 20.9010i | 0.224742 | + | 0.224742i | ||||
\(94\) | −81.5159 | − | 70.6339i | −0.867190 | − | 0.751424i | ||||
\(95\) | 1.87481 | − | 4.64756i | 0.0197348 | − | 0.0489217i | ||||
\(96\) | 0.419394 | + | 2.91695i | 0.00436868 | + | 0.0303849i | ||||
\(97\) | −50.8809 | − | 18.9776i | −0.524545 | − | 0.195645i | 0.0732212 | − | 0.997316i | \(-0.476672\pi\) |
−0.597766 | + | 0.801671i | \(0.703945\pi\) | |||||||
\(98\) | 7.35629 | − | 5.50685i | 0.0750642 | − | 0.0561923i | ||||
\(99\) | −30.1750 | − | 102.767i | −0.304798 | − | 1.03805i | ||||
\(100\) | 30.7007 | + | 39.4648i | 0.307007 | + | 0.394648i | ||||
\(101\) | −54.5889 | + | 119.533i | −0.540484 | + | 1.18349i | 0.420602 | + | 0.907245i | \(0.361819\pi\) |
−0.961086 | + | 0.276249i | \(0.910908\pi\) | |||||||
\(102\) | 20.3154 | − | 11.0931i | 0.199171 | − | 0.108755i | ||||
\(103\) | −10.8233 | + | 151.329i | −0.105080 | + | 1.46921i | 0.622193 | + | 0.782864i | \(0.286242\pi\) |
−0.727273 | + | 0.686348i | \(0.759213\pi\) | |||||||
\(104\) | −0.475938 | + | 0.412403i | −0.00457633 | + | 0.00396541i | ||||
\(105\) | 5.51182 | + | 16.0620i | 0.0524935 | + | 0.152971i | ||||
\(106\) | 43.7261 | − | 95.7467i | 0.412510 | − | 0.903271i | ||||
\(107\) | 97.0188 | − | 21.1052i | 0.906718 | − | 0.197244i | 0.265057 | − | 0.964233i | \(-0.414609\pi\) |
0.641661 | + | 0.766988i | \(0.278246\pi\) | |||||||
\(108\) | −16.2120 | − | 8.85243i | −0.150111 | − | 0.0819669i | ||||
\(109\) | 30.7812 | + | 4.42567i | 0.282396 | + | 0.0406025i | 0.282058 | − | 0.959397i | \(-0.408983\pi\) |
0.000338805 | 1.00000i | \(0.499892\pi\) | ||||||||
\(110\) | −22.2361 | − | 83.8684i | −0.202147 | − | 0.762440i | ||||
\(111\) | −4.61681 | − | 32.1106i | −0.0415929 | − | 0.289285i | ||||
\(112\) | 5.54317 | − | 25.4816i | 0.0494926 | − | 0.227514i | ||||
\(113\) | 17.4570 | − | 1.24855i | 0.154487 | − | 0.0110491i | 0.00611859 | − | 0.999981i | \(-0.498052\pi\) |
0.148368 | + | 0.988932i | \(0.452598\pi\) | |||||||
\(114\) | 0.738424i | 0.00647740i | ||||||||
\(115\) | −104.596 | + | 47.7985i | −0.909530 | + | 0.415639i | ||||
\(116\) | −13.8176 | −0.119117 | ||||||||
\(117\) | −0.138644 | − | 1.93850i | −0.00118499 | − | 0.0165683i | ||||
\(118\) | −70.9474 | − | 15.4337i | −0.601249 | − | 0.130794i | ||||
\(119\) | −202.741 | + | 29.1497i | −1.70370 | + | 0.244956i | ||||
\(120\) | −6.37060 | − | 3.70045i | −0.0530884 | − | 0.0308371i | ||||
\(121\) | −4.20784 | + | 29.2662i | −0.0347756 | + | 0.241869i | ||||
\(122\) | −60.4682 | + | 110.739i | −0.495641 | + | 0.907698i | ||||
\(123\) | −3.20790 | − | 14.7465i | −0.0260805 | − | 0.119890i | ||||
\(124\) | 103.224 | + | 47.1408i | 0.832451 | + | 0.380168i | ||||
\(125\) | −124.996 | − | 0.986651i | −0.999969 | − | 0.00789321i | ||||
\(126\) | 52.7006 | + | 60.8197i | 0.418258 | + | 0.482696i | ||||
\(127\) | 88.9655 | + | 6.36294i | 0.700516 | + | 0.0501019i | 0.417054 | − | 0.908882i | \(-0.363063\pi\) |
0.283462 | + | 0.958984i | \(0.408517\pi\) | |||||||
\(128\) | 5.42208 | + | 9.92980i | 0.0423600 | + | 0.0775766i | ||||
\(129\) | −24.5823 | − | 11.2263i | −0.190560 | − | 0.0870259i | ||||
\(130\) | −0.0707746 | − | 1.57280i | −0.000544420 | − | 0.0120985i | ||||
\(131\) | −16.0645 | + | 4.71697i | −0.122630 | + | 0.0360074i | −0.342472 | − | 0.939528i | \(-0.611264\pi\) |
0.219842 | + | 0.975536i | \(0.429446\pi\) | |||||||
\(132\) | 7.66161 | + | 10.2347i | 0.0580425 | + | 0.0775357i | ||||
\(133\) | 2.28351 | − | 6.12233i | 0.0171692 | − | 0.0460325i | ||||
\(134\) | −37.9223 | + | 5.45241i | −0.283003 | + | 0.0406896i | ||||
\(135\) | 42.4979 | − | 18.0665i | 0.314799 | − | 0.133826i | ||||
\(136\) | 58.1932 | − | 67.1585i | 0.427891 | − | 0.493813i | ||||
\(137\) | −20.9427 | + | 20.9427i | −0.152867 | + | 0.152867i | −0.779397 | − | 0.626530i | \(-0.784474\pi\) |
0.626530 | + | 0.779397i | \(0.284474\pi\) | |||||||
\(138\) | 11.6580 | − | 12.2972i | 0.0844783 | − | 0.0891102i | ||||
\(139\) | 4.63750i | 0.0333633i | 0.999861 | + | 0.0166816i | \(0.00531018\pi\) | ||||
−0.999861 | + | 0.0166816i | \(0.994690\pi\) | |||||||
\(140\) | 41.3758 | + | 50.3812i | 0.295542 | + | 0.359866i | ||||
\(141\) | −33.4251 | + | 21.4810i | −0.237057 | + | 0.152348i | ||||
\(142\) | −10.6253 | − | 7.95397i | −0.0748258 | − | 0.0560139i | ||||
\(143\) | −0.954763 | + | 2.55982i | −0.00667666 | + | 0.0179008i | ||||
\(144\) | −34.5591 | − | 4.96884i | −0.239993 | − | 0.0345059i | ||||
\(145\) | 21.4250 | − | 27.0971i | 0.147759 | − | 0.186876i | ||||
\(146\) | −92.7545 | − | 59.6097i | −0.635304 | − | 0.408285i | ||||
\(147\) | −1.18293 | − | 3.17156i | −0.00804715 | − | 0.0215752i | ||||
\(148\) | −59.6879 | − | 109.310i | −0.403297 | − | 0.738583i | ||||
\(149\) | 165.664 | − | 143.549i | 1.11184 | − | 0.963413i | 0.112296 | − | 0.993675i | \(-0.464179\pi\) |
0.999542 | + | 0.0302614i | \(0.00963397\pi\) | |||||||
\(150\) | 17.1348 | − | 6.75535i | 0.114232 | − | 0.0450357i | ||||
\(151\) | −92.8972 | − | 27.2771i | −0.615213 | − | 0.180643i | −0.0407447 | − | 0.999170i | \(-0.512973\pi\) |
−0.574469 | + | 0.818527i | \(0.694791\pi\) | |||||||
\(152\) | 0.990699 | + | 2.65617i | 0.00651776 | + | 0.0174748i | ||||
\(153\) | 58.2929 | + | 267.968i | 0.380999 | + | 1.75143i | ||||
\(154\) | −31.8730 | − | 108.550i | −0.206968 | − | 0.704867i | ||||
\(155\) | −252.501 | + | 129.334i | −1.62904 | + | 0.834410i | ||||
\(156\) | 0.0963688 | + | 0.211018i | 0.000617749 | + | 0.00135268i | ||||
\(157\) | −218.468 | − | 163.543i | −1.39151 | − | 1.04167i | −0.992173 | − | 0.124872i | \(-0.960148\pi\) |
−0.399341 | − | 0.916802i | \(-0.630761\pi\) | |||||||
\(158\) | −19.6899 | − | 4.28327i | −0.124619 | − | 0.0271093i | ||||
\(159\) | −29.3034 | − | 25.3915i | −0.184298 | − | 0.159695i | ||||
\(160\) | −27.8802 | − | 4.76375i | −0.174251 | − | 0.0297735i | ||||
\(161\) | −134.685 | + | 65.9057i | −0.836555 | + | 0.409352i | ||||
\(162\) | 73.7461 | − | 73.7461i | 0.455223 | − | 0.455223i | ||||
\(163\) | 72.2682 | − | 5.16872i | 0.443363 | − | 0.0317099i | 0.152126 | − | 0.988361i | \(-0.451388\pi\) |
0.291236 | + | 0.956651i | \(0.405933\pi\) | |||||||
\(164\) | −31.3235 | − | 48.7404i | −0.190997 | − | 0.297197i | ||||
\(165\) | −31.9507 | − | 0.844686i | −0.193640 | − | 0.00511931i | ||||
\(166\) | −88.2275 | − | 193.191i | −0.531491 | − | 1.16380i | ||||
\(167\) | −126.077 | − | 168.419i | −0.754952 | − | 1.00850i | −0.999247 | − | 0.0387969i | \(-0.987647\pi\) |
0.244295 | − | 0.969701i | \(-0.421443\pi\) | |||||||
\(168\) | −8.43109 | − | 4.60372i | −0.0501850 | − | 0.0274031i | ||||
\(169\) | 91.3415 | − | 142.130i | 0.540482 | − | 0.841007i | ||||
\(170\) | 41.4697 | + | 218.254i | 0.243939 | + | 1.28385i | ||||
\(171\) | −8.39423 | − | 2.46477i | −0.0490891 | − | 0.0144139i | ||||
\(172\) | −103.486 | − | 7.40146i | −0.601663 | − | 0.0430318i | ||||
\(173\) | −11.5668 | + | 161.726i | −0.0668603 | + | 0.934830i | 0.847725 | + | 0.530436i | \(0.177972\pi\) |
−0.914585 | + | 0.404393i | \(0.867483\pi\) | |||||||
\(174\) | −1.43400 | + | 4.88377i | −0.00824140 | + | 0.0280676i | ||||
\(175\) | −162.956 | + | 3.02119i | −0.931180 | + | 0.0172640i | ||||
\(176\) | 41.2907 | + | 26.5359i | 0.234606 | + | 0.150772i | ||||
\(177\) | −12.8180 | + | 23.4744i | −0.0724180 | + | 0.132624i | ||||
\(178\) | 145.760 | − | 109.114i | 0.818875 | − | 0.613002i | ||||
\(179\) | −39.4055 | + | 17.9959i | −0.220142 | + | 0.100536i | −0.522434 | − | 0.852680i | \(-0.674976\pi\) |
0.302291 | + | 0.953216i | \(0.402249\pi\) | |||||||
\(180\) | 63.3302 | − | 60.0679i | 0.351834 | − | 0.333710i | ||||
\(181\) | −237.413 | + | 152.576i | −1.31167 | + | 0.842960i | −0.994431 | − | 0.105385i | \(-0.966392\pi\) |
−0.317240 | + | 0.948345i | \(0.602756\pi\) | |||||||
\(182\) | −0.146446 | − | 2.04758i | −0.000804647 | − | 0.0112504i | ||||
\(183\) | 32.8649 | + | 32.8649i | 0.179590 | + | 0.179590i | ||||
\(184\) | 25.4363 | − | 59.8748i | 0.138241 | − | 0.325407i | ||||
\(185\) | 306.914 | + | 52.4408i | 1.65899 | + | 0.283464i | ||||
\(186\) | 27.3744 | − | 31.5918i | 0.147174 | − | 0.169848i | ||||
\(187\) | 81.9475 | − | 376.707i | 0.438222 | − | 2.01447i | ||||
\(188\) | −91.4128 | + | 122.113i | −0.486239 | + | 0.649539i | ||||
\(189\) | 54.7701 | − | 25.0126i | 0.289789 | − | 0.132342i | ||||
\(190\) | −6.74504 | − | 2.17573i | −0.0355002 | − | 0.0114512i | ||||
\(191\) | 237.058 | − | 69.6065i | 1.24114 | − | 0.364432i | 0.405697 | − | 0.914008i | \(-0.367029\pi\) |
0.835444 | + | 0.549576i | \(0.185211\pi\) | |||||||
\(192\) | 4.07236 | − | 0.885888i | 0.0212102 | − | 0.00461400i | ||||
\(193\) | −70.1375 | + | 26.1599i | −0.363407 | + | 0.135544i | −0.524533 | − | 0.851390i | \(-0.675760\pi\) |
0.161126 | + | 0.986934i | \(0.448487\pi\) | |||||||
\(194\) | −21.6367 | + | 73.6877i | −0.111529 | + | 0.379833i | ||||
\(195\) | −0.563245 | − | 0.138212i | −0.00288844 | − | 0.000708780i | ||||
\(196\) | −8.51019 | − | 9.82128i | −0.0434193 | − | 0.0501086i | ||||
\(197\) | 53.2023 | − | 29.0507i | 0.270062 | − | 0.147465i | −0.338512 | − | 0.940962i | \(-0.609924\pi\) |
0.608574 | + | 0.793497i | \(0.291742\pi\) | |||||||
\(198\) | −141.919 | + | 52.9332i | −0.716764 | + | 0.267339i | ||||
\(199\) | 13.3004 | − | 20.6959i | 0.0668363 | − | 0.103999i | −0.806227 | − | 0.591607i | \(-0.798494\pi\) |
0.873063 | + | 0.487607i | \(0.162130\pi\) | |||||||
\(200\) | 52.5720 | − | 47.2883i | 0.262860 | − | 0.236441i | ||||
\(201\) | −2.00849 | + | 13.9694i | −0.00999250 | + | 0.0694993i | ||||
\(202\) | 174.122 | + | 64.9441i | 0.861989 | + | 0.321505i | ||||
\(203\) | 26.9920 | − | 36.0571i | 0.132966 | − | 0.177621i | ||||
\(204\) | −17.6976 | − | 27.5380i | −0.0867528 | − | 0.134990i | ||||
\(205\) | 144.152 | + | 14.1477i | 0.703180 | + | 0.0690130i | ||||
\(206\) | 214.558 | 1.04154 | ||||||||
\(207\) | 100.879 | + | 173.572i | 0.487337 | + | 0.838512i | ||||
\(208\) | 0.629757 | + | 0.629757i | 0.00302768 | + | 0.00302768i | ||||
\(209\) | 9.29474 | + | 8.05394i | 0.0444724 | + | 0.0385356i | ||||
\(210\) | 22.1011 | − | 9.39551i | 0.105243 | − | 0.0447405i | ||||
\(211\) | 17.6993 | + | 123.101i | 0.0838829 | + | 0.583418i | 0.987802 | + | 0.155715i | \(0.0497681\pi\) |
−0.903919 | + | 0.427703i | \(0.859323\pi\) | |||||||
\(212\) | −139.473 | − | 52.0207i | −0.657891 | − | 0.245381i | ||||
\(213\) | −3.91401 | + | 2.92999i | −0.0183756 | + | 0.0137558i | ||||
\(214\) | −39.5593 | − | 134.726i | −0.184856 | − | 0.629563i | ||||
\(215\) | 174.976 | − | 191.466i | 0.813843 | − | 0.890538i | ||||
\(216\) | −10.8517 | + | 23.7619i | −0.0502394 | + | 0.110009i | ||||
\(217\) | −324.658 | + | 177.277i | −1.49612 | + | 0.816944i | ||||
\(218\) | 3.13742 | − | 43.8668i | 0.0143918 | − | 0.201224i | ||||
\(219\) | −30.6950 | + | 26.5974i | −0.140160 | + | 0.121449i | ||||
\(220\) | −116.062 | + | 39.8279i | −0.527556 | + | 0.181036i | ||||
\(221\) | 2.90595 | − | 6.36314i | 0.0131491 | − | 0.0287925i | ||||
\(222\) | −44.8298 | + | 9.75213i | −0.201936 | + | 0.0439285i | ||||
\(223\) | 37.0943 | + | 20.2550i | 0.166342 | + | 0.0908297i | 0.560263 | − | 0.828315i | \(-0.310700\pi\) |
−0.393921 | + | 0.919144i | \(0.628882\pi\) | |||||||
\(224\) | −36.5038 | − | 5.24845i | −0.162963 | − | 0.0234306i | ||||
\(225\) | 19.5993 | + | 217.333i | 0.0871080 | + | 0.965926i | ||||
\(226\) | −3.52244 | − | 24.4991i | −0.0155860 | − | 0.108403i | ||||
\(227\) | −49.9576 | + | 229.651i | −0.220078 | + | 1.01168i | 0.725989 | + | 0.687707i | \(0.241382\pi\) |
−0.946066 | + | 0.323973i | \(0.894981\pi\) | |||||||
\(228\) | 1.04163 | − | 0.0744987i | 0.00456855 | − | 0.000326749i | ||||
\(229\) | − | 119.996i | − | 0.523998i | −0.965068 | − | 0.261999i | \(-0.915618\pi\) | ||
0.965068 | − | 0.261999i | \(-0.0843818\pi\) | |||||||
\(230\) | 77.9776 | + | 142.722i | 0.339033 | + | 0.620529i | ||||
\(231\) | −41.6743 | −0.180408 | ||||||||
\(232\) | 1.39404 | + | 19.4912i | 0.00600878 | + | 0.0840138i | ||||
\(233\) | 23.3826 | + | 5.08658i | 0.100355 | + | 0.0218308i | 0.262462 | − | 0.964942i | \(-0.415466\pi\) |
−0.162108 | + | 0.986773i | \(0.551829\pi\) | |||||||
\(234\) | −2.72047 | + | 0.391145i | −0.0116260 | + | 0.00167156i | ||||
\(235\) | −97.7301 | − | 368.610i | −0.415873 | − | 1.56855i | ||||
\(236\) | −14.6131 | + | 101.636i | −0.0619199 | + | 0.430662i | ||||
\(237\) | −3.55734 | + | 6.51479i | −0.0150099 | + | 0.0274885i | ||||
\(238\) | 61.5732 | + | 283.047i | 0.258711 | + | 1.18927i | ||||
\(239\) | 129.539 | + | 59.1585i | 0.542005 | + | 0.247525i | 0.667553 | − | 0.744562i | \(-0.267342\pi\) |
−0.125548 | + | 0.992087i | \(0.540069\pi\) | |||||||
\(240\) | −4.57717 | + | 9.35977i | −0.0190716 | + | 0.0389991i | ||||
\(241\) | −145.974 | − | 168.464i | −0.605703 | − | 0.699019i | 0.367223 | − | 0.930133i | \(-0.380308\pi\) |
−0.972927 | + | 0.231114i | \(0.925763\pi\) | |||||||
\(242\) | 41.7077 | + | 2.98299i | 0.172346 | + | 0.0123264i | ||||
\(243\) | −58.2478 | − | 106.673i | −0.239703 | − | 0.438983i | ||||
\(244\) | 162.310 | + | 74.1247i | 0.665206 | + | 0.303790i | ||||
\(245\) | 32.4557 | − | 1.46048i | 0.132472 | − | 0.00596113i | ||||
\(246\) | −20.4779 | + | 6.01285i | −0.0832435 | + | 0.0244425i | ||||
\(247\) | 0.133736 | + | 0.178651i | 0.000541443 | + | 0.000723284i | ||||
\(248\) | 56.0831 | − | 150.365i | 0.226142 | − | 0.606309i | ||||
\(249\) | −77.4391 | + | 11.1341i | −0.311000 | + | 0.0447151i | ||||
\(250\) | 11.2189 | + | 176.420i | 0.0448757 | + | 0.705681i | ||||
\(251\) | 76.3971 | − | 88.1669i | 0.304371 | − | 0.351263i | −0.582873 | − | 0.812563i | \(-0.698072\pi\) |
0.887244 | + | 0.461301i | \(0.152617\pi\) | |||||||
\(252\) | 80.4760 | − | 80.4760i | 0.319349 | − | 0.319349i | ||||
\(253\) | −27.6353 | − | 280.867i | −0.109230 | − | 1.11015i | ||||
\(254\) | − | 126.138i | − | 0.496605i | ||||||
\(255\) | 81.4448 | + | 7.99333i | 0.319391 | + | 0.0313464i | ||||
\(256\) | 13.4601 | − | 8.65025i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 113.419 | + | 84.9041i | 0.441318 | + | 0.330366i | 0.796722 | − | 0.604347i | \(-0.206566\pi\) |
−0.355404 | + | 0.934713i | \(0.615657\pi\) | |||||||
\(258\) | −13.3559 | + | 35.8086i | −0.0517671 | + | 0.138793i | ||||
\(259\) | 401.845 | + | 57.7766i | 1.55152 | + | 0.223076i | ||||
\(260\) | −2.21147 | + | 0.258513i | −0.00850564 | + | 0.000994282i | ||||
\(261\) | −50.7310 | − | 32.6028i | −0.194372 | − | 0.124915i | ||||
\(262\) | 8.27454 | + | 22.1849i | 0.0315822 | + | 0.0846752i | ||||
\(263\) | −72.2482 | − | 132.313i | −0.274708 | − | 0.503090i | 0.703506 | − | 0.710689i | \(-0.251617\pi\) |
−0.978214 | + | 0.207599i | \(0.933435\pi\) | |||||||
\(264\) | 13.6642 | − | 11.8401i | 0.0517584 | − | 0.0448489i | ||||
\(265\) | 318.277 | − | 192.853i | 1.20105 | − | 0.727748i | ||||
\(266\) | −8.86660 | − | 2.60347i | −0.0333331 | − | 0.00978748i | ||||
\(267\) | −23.4389 | − | 62.8422i | −0.0877863 | − | 0.235364i | ||||
\(268\) | 11.5172 | + | 52.9436i | 0.0429745 | + | 0.197551i | ||||
\(269\) | 95.7262 | + | 326.014i | 0.355860 | + | 1.21195i | 0.921854 | + | 0.387537i | \(0.126674\pi\) |
−0.565994 | + | 0.824409i | \(0.691508\pi\) | |||||||
\(270\) | −29.7723 | − | 58.1253i | −0.110268 | − | 0.215279i | ||||
\(271\) | −70.9912 | − | 155.449i | −0.261960 | − | 0.573613i | 0.732254 | − | 0.681032i | \(-0.238469\pi\) |
−0.994214 | + | 0.107419i | \(0.965741\pi\) | |||||||
\(272\) | −100.606 | − | 75.3124i | −0.369873 | − | 0.276884i | ||||
\(273\) | −0.738908 | − | 0.160740i | −0.00270662 | − | 0.000588790i | ||||
\(274\) | 31.6549 | + | 27.4291i | 0.115529 | + | 0.100106i | ||||
\(275\) | 101.857 | − | 289.361i | 0.370389 | − | 1.05222i | ||||
\(276\) | −18.5227 | − | 15.2042i | −0.0671113 | − | 0.0550878i | ||||
\(277\) | −243.450 | + | 243.450i | −0.878880 | + | 0.878880i | −0.993419 | − | 0.114539i | \(-0.963461\pi\) |
0.114539 | + | 0.993419i | \(0.463461\pi\) | |||||||
\(278\) | 6.54170 | − | 0.467872i | 0.0235313 | − | 0.00168299i | ||||
\(279\) | 267.756 | + | 416.636i | 0.959698 | + | 1.49332i | ||||
\(280\) | 66.8940 | − | 63.4481i | 0.238907 | − | 0.226600i | ||||
\(281\) | 152.814 | + | 334.615i | 0.543820 | + | 1.19080i | 0.959608 | + | 0.281339i | \(0.0907785\pi\) |
−0.415788 | + | 0.909462i | \(0.636494\pi\) | |||||||
\(282\) | 33.6735 | + | 44.9826i | 0.119410 | + | 0.159513i | ||||
\(283\) | −89.4267 | − | 48.8307i | −0.315995 | − | 0.172547i | 0.313422 | − | 0.949614i | \(-0.398525\pi\) |
−0.629417 | + | 0.777067i | \(0.716706\pi\) | |||||||
\(284\) | −10.1480 | + | 15.7906i | −0.0357324 | + | 0.0556006i | ||||
\(285\) | −1.46901 | + | 2.15821i | −0.00515443 | + | 0.00757267i | ||||
\(286\) | 3.70723 | + | 1.08854i | 0.0129623 | + | 0.00380609i | ||||
\(287\) | 188.378 | + | 13.4731i | 0.656369 | + | 0.0469444i | ||||
\(288\) | −3.52248 | + | 49.2507i | −0.0122308 | + | 0.171009i | ||||
\(289\) | −196.674 | + | 669.812i | −0.680534 | + | 2.31769i | ||||
\(290\) | −40.3850 | − | 27.4885i | −0.139258 | − | 0.0947880i | ||||
\(291\) | 23.7992 | + | 15.2948i | 0.0817841 | + | 0.0525594i | ||||
\(292\) | −74.7281 | + | 136.854i | −0.255918 | + | 0.468679i | ||||
\(293\) | 39.5458 | − | 29.6036i | 0.134969 | − | 0.101036i | −0.529660 | − | 0.848210i | \(-0.677681\pi\) |
0.664629 | + | 0.747174i | \(0.268590\pi\) | |||||||
\(294\) | −4.35449 | + | 1.98863i | −0.0148112 | + | 0.00676405i | ||||
\(295\) | −176.656 | − | 186.250i | −0.598835 | − | 0.631358i | ||||
\(296\) | −148.172 | + | 95.2246i | −0.500582 | + | 0.321705i | ||||
\(297\) | 8.08471 | + | 113.039i | 0.0272213 | + | 0.380603i | ||||
\(298\) | −219.205 | − | 219.205i | −0.735586 | − | 0.735586i | ||||
\(299\) | 0.593329 | − | 5.08652i | 0.00198438 | − | 0.0170118i | ||||
\(300\) | −11.2579 | − | 23.4890i | −0.0375263 | − | 0.0782967i | ||||
\(301\) | 221.470 | − | 255.590i | 0.735780 | − | 0.849135i | ||||
\(302\) | −29.1050 | + | 133.794i | −0.0963743 | + | 0.443026i | ||||
\(303\) | 41.0248 | − | 54.8027i | 0.135395 | − | 0.180867i | ||||
\(304\) | 3.64687 | − | 1.66547i | 0.0119963 | − | 0.00547851i | ||||
\(305\) | −397.035 | + | 203.365i | −1.30175 | + | 0.666772i | ||||
\(306\) | 372.117 | − | 109.264i | 1.21607 | − | 0.357070i | ||||
\(307\) | 66.2428 | − | 14.4102i | 0.215775 | − | 0.0469389i | −0.103378 | − | 0.994642i | \(-0.532965\pi\) |
0.319153 | + | 0.947703i | \(0.396602\pi\) | |||||||
\(308\) | −149.906 | + | 55.9119i | −0.486706 | + | 0.181532i | ||||
\(309\) | 22.2671 | − | 75.8347i | 0.0720618 | − | 0.245420i | ||||
\(310\) | 207.914 | + | 343.132i | 0.670690 | + | 1.10688i | ||||
\(311\) | 231.152 | + | 266.764i | 0.743256 | + | 0.857763i | 0.993896 | − | 0.110318i | \(-0.0351868\pi\) |
−0.250641 | + | 0.968080i | \(0.580641\pi\) | |||||||
\(312\) | 0.287942 | − | 0.157228i | 0.000922891 | − | 0.000503937i | ||||
\(313\) | 152.830 | − | 57.0028i | 0.488276 | − | 0.182118i | −0.0932542 | − | 0.995642i | \(-0.529727\pi\) |
0.581530 | + | 0.813525i | \(0.302454\pi\) | |||||||
\(314\) | −208.654 | + | 324.672i | −0.664504 | + | 1.03399i | ||||
\(315\) | 33.0352 | + | 282.601i | 0.104874 | + | 0.897147i | ||||
\(316\) | −4.05553 | + | 28.2069i | −0.0128340 | + | 0.0892622i | ||||
\(317\) | 415.911 | + | 155.127i | 1.31202 | + | 0.489359i | 0.905525 | − | 0.424292i | \(-0.139477\pi\) |
0.406498 | + | 0.913652i | \(0.366750\pi\) | |||||||
\(318\) | −32.8612 | + | 43.8974i | −0.103337 | + | 0.138042i | ||||
\(319\) | 45.8327 | + | 71.3171i | 0.143676 | + | 0.223564i | ||||
\(320\) | −3.90700 | + | 39.8087i | −0.0122094 | + | 0.124402i | ||||
\(321\) | −51.7241 | −0.161134 | ||||||||
\(322\) | 106.556 | + | 183.339i | 0.330918 | + | 0.569377i | ||||
\(323\) | −22.2668 | − | 22.2668i | −0.0689374 | − | 0.0689374i | ||||
\(324\) | −111.467 | − | 96.5869i | −0.344035 | − | 0.298108i | ||||
\(325\) | 2.92206 | − | 4.73766i | 0.00899095 | − | 0.0145774i | ||||
\(326\) | −14.5821 | − | 101.421i | −0.0447304 | − | 0.311107i | ||||
\(327\) | −15.1790 | − | 5.66146i | −0.0464188 | − | 0.0173133i | ||||
\(328\) | −65.5934 | + | 49.1026i | −0.199980 | + | 0.149703i | ||||
\(329\) | −140.085 | − | 477.087i | −0.425791 | − | 1.45011i | ||||
\(330\) | 2.03194 | + | 45.1552i | 0.00615740 | + | 0.136834i | ||||
\(331\) | −216.850 | + | 474.835i | −0.655136 | + | 1.43455i | 0.231851 | + | 0.972751i | \(0.425522\pi\) |
−0.886986 | + | 0.461796i | \(0.847205\pi\) | |||||||
\(332\) | −263.616 | + | 143.945i | −0.794025 | + | 0.433571i | ||||
\(333\) | 38.7765 | − | 542.166i | 0.116446 | − | 1.62813i | ||||
\(334\) | −224.854 | + | 194.837i | −0.673216 | + | 0.583345i | ||||
\(335\) | −121.684 | − | 59.5064i | −0.363235 | − | 0.177631i | ||||
\(336\) | −5.64345 | + | 12.3574i | −0.0167960 | + | 0.0367781i | ||||
\(337\) | −191.438 | + | 41.6447i | −0.568064 | + | 0.123575i | −0.487419 | − | 0.873168i | \(-0.662062\pi\) |
−0.0806451 | + | 0.996743i | \(0.525698\pi\) | |||||||
\(338\) | −209.706 | − | 114.508i | −0.620431 | − | 0.338781i | ||||
\(339\) | −9.02468 | − | 1.29755i | −0.0266215 | − | 0.00382759i | ||||
\(340\) | 303.687 | − | 80.5170i | 0.893198 | − | 0.236815i | ||||
\(341\) | −99.0832 | − | 689.139i | −0.290567 | − | 2.02093i | ||||
\(342\) | −2.62994 | + | 12.0897i | −0.00768990 | + | 0.0353499i | ||||
\(343\) | 360.889 | − | 25.8113i | 1.05215 | − | 0.0752515i | ||||
\(344\) | 146.725i | 0.426526i | ||||||||
\(345\) | 58.5371 | − | 12.7490i | 0.169673 | − | 0.0369538i | ||||
\(346\) | 229.299 | 0.662713 | ||||||||
\(347\) | −15.2177 | − | 212.772i | −0.0438551 | − | 0.613175i | −0.971093 | − | 0.238702i | \(-0.923278\pi\) |
0.927238 | − | 0.374473i | \(-0.122176\pi\) | |||||||
\(348\) | 7.03377 | + | 1.53010i | 0.0202120 | + | 0.00439685i | ||||
\(349\) | 41.3163 | − | 5.94039i | 0.118385 | − | 0.0170212i | −0.0828677 | − | 0.996561i | \(-0.526408\pi\) |
0.201253 | + | 0.979539i | \(0.435499\pi\) | |||||||
\(350\) | 20.7022 | + | 229.563i | 0.0591492 | + | 0.655895i | ||||
\(351\) | −0.292650 | + | 2.03543i | −0.000833762 | + | 0.00579894i | ||||
\(352\) | 33.2661 | − | 60.9222i | 0.0945058 | − | 0.173075i | ||||
\(353\) | −37.9605 | − | 174.502i | −0.107537 | − | 0.494339i | −0.999138 | − | 0.0415168i | \(-0.986781\pi\) |
0.891601 | − | 0.452822i | \(-0.149583\pi\) | |||||||
\(354\) | 34.4064 | + | 15.7129i | 0.0971932 | + | 0.0443866i | ||||
\(355\) | −15.2312 | − | 44.3851i | −0.0429047 | − | 0.125028i | ||||
\(356\) | −168.623 | − | 194.602i | −0.473661 | − | 0.546634i | ||||
\(357\) | 106.432 | + | 7.61218i | 0.298129 | + | 0.0213226i | ||||
\(358\) | 29.3608 | + | 53.7702i | 0.0820133 | + | 0.150196i | ||||
\(359\) | −233.056 | − | 106.433i | −0.649181 | − | 0.296471i | 0.0634765 | − | 0.997983i | \(-0.479781\pi\) |
−0.712657 | + | 0.701512i | \(0.752508\pi\) | |||||||
\(360\) | −91.1217 | − | 83.2740i | −0.253116 | − | 0.231317i | ||||
\(361\) | −345.413 | + | 101.422i | −0.956823 | + | 0.280949i | ||||
\(362\) | 239.177 | + | 319.503i | 0.660711 | + | 0.882606i | ||||
\(363\) | 5.38281 | − | 14.4319i | 0.0148287 | − | 0.0397572i | ||||
\(364\) | −2.87356 | + | 0.413156i | −0.00789440 | + | 0.00113504i | ||||
\(365\) | −152.509 | − | 358.748i | −0.417833 | − | 0.982870i | ||||
\(366\) | 43.0438 | − | 49.6752i | 0.117606 | − | 0.135725i | ||||
\(367\) | 505.341 | − | 505.341i | 1.37695 | − | 1.37695i | 0.527226 | − | 0.849725i | \(-0.323232\pi\) |
0.849725 | − | 0.527226i | \(-0.176768\pi\) | |||||||
\(368\) | −87.0263 | − | 29.8400i | −0.236484 | − | 0.0810869i | ||||
\(369\) | − | 252.858i | − | 0.685252i | ||||||
\(370\) | 43.0094 | − | 438.227i | 0.116242 | − | 1.18440i | ||||
\(371\) | 408.203 | − | 262.336i | 1.10028 | − | 0.707106i | ||||
\(372\) | −47.3255 | − | 35.4274i | −0.127219 | − | 0.0952350i | ||||
\(373\) | −41.1544 | + | 110.339i | −0.110334 | + | 0.295816i | −0.980368 | − | 0.197175i | \(-0.936823\pi\) |
0.870035 | + | 0.492990i | \(0.164096\pi\) | |||||||
\(374\) | −539.654 | − | 77.5905i | −1.44292 | − | 0.207461i | ||||
\(375\) | 63.5194 | + | 14.3438i | 0.169385 | + | 0.0382502i | ||||
\(376\) | 181.477 | + | 116.628i | 0.482651 | + | 0.310181i | ||||
\(377\) | 0.537566 | + | 1.44127i | 0.00142590 | + | 0.00382300i | ||||
\(378\) | −40.8088 | − | 74.7357i | −0.107960 | − | 0.197714i | ||||
\(379\) | −417.616 | + | 361.867i | −1.10189 | + | 0.954793i | −0.999203 | − | 0.0399206i | \(-0.987290\pi\) |
−0.102687 | + | 0.994714i | \(0.532744\pi\) | |||||||
\(380\) | −2.38861 | + | 9.73414i | −0.00628582 | + | 0.0256161i | ||||
\(381\) | −44.5829 | − | 13.0907i | −0.117015 | − | 0.0343588i | ||||
\(382\) | −122.104 | − | 327.374i | −0.319644 | − | 0.856999i | ||||
\(383\) | −101.073 | − | 464.627i | −0.263899 | − | 1.21313i | −0.898042 | − | 0.439909i | \(-0.855011\pi\) |
0.634143 | − | 0.773216i | \(-0.281353\pi\) | |||||||
\(384\) | −1.66050 | − | 5.65514i | −0.00432422 | − | 0.0147269i | ||||
\(385\) | 122.791 | − | 380.668i | 0.318939 | − | 0.988749i | ||||
\(386\) | 43.9776 | + | 96.2974i | 0.113932 | + | 0.249475i | ||||
\(387\) | −362.483 | − | 271.352i | −0.936650 | − | 0.701167i | ||||
\(388\) | 106.128 | + | 23.0866i | 0.273525 | + | 0.0595016i | ||||
\(389\) | −7.34418 | − | 6.36377i | −0.0188797 | − | 0.0163593i | 0.645370 | − | 0.763870i | \(-0.276703\pi\) |
−0.664249 | + | 0.747511i | \(0.731249\pi\) | |||||||
\(390\) | −0.138138 | + | 0.808464i | −0.000354200 | + | 0.00207298i | ||||
\(391\) | 19.2750 | + | 722.356i | 0.0492966 | + | 1.84746i | ||||
\(392\) | −12.9954 | + | 12.9954i | −0.0331516 | + | 0.0331516i | ||||
\(393\) | 8.69991 | − | 0.622230i | 0.0221372 | − | 0.00158328i | ||||
\(394\) | −46.3467 | − | 72.1168i | −0.117631 | − | 0.183038i | ||||
\(395\) | −49.0270 | − | 51.6896i | −0.124119 | − | 0.130860i | ||||
\(396\) | 88.9861 | + | 194.852i | 0.224712 | + | 0.492052i | ||||
\(397\) | −59.4871 | − | 79.4654i | −0.149841 | − | 0.200165i | 0.719340 | − | 0.694658i | \(-0.244444\pi\) |
−0.869181 | + | 0.494494i | \(0.835354\pi\) | |||||||
\(398\) | −30.5357 | − | 16.6737i | −0.0767227 | − | 0.0418938i | ||||
\(399\) | −1.84037 | + | 2.86368i | −0.00461246 | + | 0.00717713i | ||||
\(400\) | −72.0093 | − | 69.3878i | −0.180023 | − | 0.173469i | ||||
\(401\) | 244.754 | + | 71.8663i | 0.610359 | + | 0.179218i | 0.572282 | − | 0.820057i | \(-0.306058\pi\) |
0.0380776 | + | 0.999275i | \(0.487877\pi\) | |||||||
\(402\) | 19.9080 | + | 1.42385i | 0.0495223 | + | 0.00354191i | ||||
\(403\) | 0.901240 | − | 12.6010i | 0.00223633 | − | 0.0312680i | ||||
\(404\) | 74.0438 | − | 252.170i | 0.183277 | − | 0.624184i | ||||
\(405\) | 362.250 | − | 68.8299i | 0.894443 | − | 0.169950i | ||||
\(406\) | −53.5858 | − | 34.4375i | −0.131985 | − | 0.0848214i | ||||
\(407\) | −366.203 | + | 670.651i | −0.899761 | + | 1.64779i | ||||
\(408\) | −37.0598 | + | 27.7426i | −0.0908329 | + | 0.0679967i | ||||
\(409\) | 14.7585 | − | 6.74000i | 0.0360844 | − | 0.0164792i | −0.397291 | − | 0.917693i | \(-0.630050\pi\) |
0.433376 | + | 0.901213i | \(0.357322\pi\) | |||||||
\(410\) | 5.41353 | − | 204.769i | 0.0132037 | − | 0.499438i | ||||
\(411\) | 12.9799 | − | 8.34168i | 0.0315813 | − | 0.0202961i | ||||
\(412\) | −21.6465 | − | 302.658i | −0.0525401 | − | 0.734606i | ||||
\(413\) | −236.675 | − | 236.675i | −0.573064 | − | 0.573064i | ||||
\(414\) | 234.665 | − | 159.812i | 0.566824 | − | 0.386020i | ||||
\(415\) | 126.468 | − | 740.164i | 0.304742 | − | 1.78353i | ||||
\(416\) | 0.824806 | − | 0.951877i | 0.00198271 | − | 0.00228816i | ||||
\(417\) | 0.513538 | − | 2.36070i | 0.00123151 | − | 0.00566114i | ||||
\(418\) | 10.4232 | − | 13.9238i | 0.0249360 | − | 0.0333105i | ||||
\(419\) | −661.162 | + | 301.942i | −1.57795 | + | 0.720626i | −0.995722 | − | 0.0923979i | \(-0.970547\pi\) |
−0.582230 | + | 0.813024i | \(0.697820\pi\) | |||||||
\(420\) | −15.4832 | − | 30.2281i | −0.0368646 | − | 0.0719718i | ||||
\(421\) | −53.8277 | + | 15.8052i | −0.127857 | + | 0.0375421i | −0.345035 | − | 0.938590i | \(-0.612133\pi\) |
0.217178 | + | 0.976132i | \(0.430315\pi\) | |||||||
\(422\) | 171.862 | − | 37.3864i | 0.407257 | − | 0.0885932i | ||||
\(423\) | −623.750 | + | 232.647i | −1.47459 | + | 0.549992i | ||||
\(424\) | −59.3096 | + | 201.990i | −0.139881 | + | 0.476392i | ||||
\(425\) | −312.987 | + | 720.395i | −0.736441 | + | 1.69505i | ||||
\(426\) | 4.52795 | + | 5.22553i | 0.0106290 | + | 0.0122665i | ||||
\(427\) | −510.496 | + | 278.752i | −1.19554 | + | 0.652815i | ||||
\(428\) | −186.055 | + | 69.3951i | −0.434709 | + | 0.162138i | ||||
\(429\) | 0.769482 | − | 1.19734i | 0.00179366 | − | 0.00279100i | ||||
\(430\) | −287.737 | − | 227.506i | −0.669155 | − | 0.529085i | ||||
\(431\) | 59.4648 | − | 413.587i | 0.137969 | − | 0.959599i | −0.796775 | − | 0.604277i | \(-0.793462\pi\) |
0.934744 | − | 0.355322i | \(-0.115629\pi\) | |||||||
\(432\) | 34.6137 | + | 12.9102i | 0.0801242 | + | 0.0298848i | ||||
\(433\) | −290.284 | + | 387.774i | −0.670403 | + | 0.895553i | −0.998799 | − | 0.0489868i | \(-0.984401\pi\) |
0.328397 | + | 0.944540i | \(0.393492\pi\) | |||||||
\(434\) | 282.823 | + | 440.081i | 0.651666 | + | 1.01401i | ||||
\(435\) | −13.9069 | + | 11.4211i | −0.0319699 | + | 0.0262554i | ||||
\(436\) | −62.1955 | −0.142650 | ||||||||
\(437\) | −20.5204 | − | 10.5044i | −0.0469574 | − | 0.0240374i | ||||
\(438\) | 40.6153 | + | 40.6153i | 0.0927290 | + | 0.0927290i | ||||
\(439\) | 257.074 | + | 222.756i | 0.585590 | + | 0.507417i | 0.896513 | − | 0.443018i | \(-0.146092\pi\) |
−0.310922 | + | 0.950435i | \(0.600638\pi\) | |||||||
\(440\) | 67.8910 | + | 159.700i | 0.154298 | + | 0.362956i | ||||
\(441\) | −8.07152 | − | 56.1387i | −0.0183028 | − | 0.127299i | ||||
\(442\) | −9.26909 | − | 3.45719i | −0.0209708 | − | 0.00782170i | ||||
\(443\) | 73.7081 | − | 55.1772i | 0.166384 | − | 0.124553i | −0.512841 | − | 0.858484i | \(-0.671407\pi\) |
0.679225 | + | 0.733930i | \(0.262316\pi\) | |||||||
\(444\) | 18.2793 | + | 62.2535i | 0.0411696 | + | 0.140211i | ||||
\(445\) | 643.087 | − | 28.9383i | 1.44514 | − | 0.0650300i | ||||
\(446\) | 24.8295 | − | 54.3691i | 0.0556716 | − | 0.121904i | ||||
\(447\) | −100.226 | + | 54.7278i | −0.224220 | + | 0.122434i | ||||
\(448\) | −3.72070 | + | 52.0221i | −0.00830513 | + | 0.116121i | ||||
\(449\) | 304.648 | − | 263.979i | 0.678504 | − | 0.587927i | −0.245922 | − | 0.969290i | \(-0.579091\pi\) |
0.924425 | + | 0.381363i | \(0.124545\pi\) | |||||||
\(450\) | 304.595 | − | 49.5735i | 0.676878 | − | 0.110163i | ||||
\(451\) | −147.666 | + | 323.342i | −0.327418 | + | 0.716945i | ||||
\(452\) | −34.2033 | + | 7.44048i | −0.0756711 | + | 0.0164612i | ||||
\(453\) | 44.2683 | + | 24.1723i | 0.0977226 | + | 0.0533606i | ||||
\(454\) | 328.989 | + | 47.3014i | 0.724645 | + | 0.104188i | ||||
\(455\) | 3.64542 | − | 6.27585i | 0.00801190 | − | 0.0137931i | ||||
\(456\) | −0.210177 | − | 1.46182i | −0.000460915 | − | 0.00320574i | ||||
\(457\) | −32.2872 | + | 148.422i | −0.0706503 | + | 0.324774i | −0.998884 | − | 0.0472224i | \(-0.984963\pi\) |
0.928234 | + | 0.371997i | \(0.121327\pi\) | |||||||
\(458\) | −169.267 | + | 12.1062i | −0.369579 | + | 0.0264328i | ||||
\(459\) | − | 290.168i | − | 0.632174i | ||||||
\(460\) | 193.458 | − | 124.395i | 0.420560 | − | 0.270424i | ||||
\(461\) | 734.583 | 1.59346 | 0.796728 | − | 0.604338i | \(-0.206562\pi\) | ||||
0.796728 | + | 0.604338i | \(0.206562\pi\) | |||||||
\(462\) | 4.20447 | + | 58.7861i | 0.00910058 | + | 0.127243i | ||||
\(463\) | −522.578 | − | 113.680i | −1.12868 | − | 0.245529i | −0.390808 | − | 0.920472i | \(-0.627804\pi\) |
−0.737870 | + | 0.674943i | \(0.764168\pi\) | |||||||
\(464\) | 27.3538 | − | 3.93289i | 0.0589522 | − | 0.00847605i | ||||
\(465\) | 142.856 | − | 37.8757i | 0.307218 | − | 0.0814531i | ||||
\(466\) | 4.81614 | − | 33.4970i | 0.0103351 | − | 0.0718819i | ||||
\(467\) | 142.037 | − | 260.121i | 0.304148 | − | 0.557005i | −0.680246 | − | 0.732984i | \(-0.738127\pi\) |
0.984394 | + | 0.175979i | \(0.0563089\pi\) | |||||||
\(468\) | 0.826219 | + | 3.79807i | 0.00176543 | + | 0.00811553i | ||||
\(469\) | −160.655 | − | 73.3688i | −0.342549 | − | 0.156437i | ||||
\(470\) | −510.106 | + | 175.048i | −1.08533 | + | 0.372442i | ||||
\(471\) | 93.0999 | + | 107.443i | 0.197664 | + | 0.228117i | ||||
\(472\) | 144.843 | + | 10.3594i | 0.306872 | + | 0.0219479i | ||||
\(473\) | 305.060 | + | 558.676i | 0.644948 | + | 1.18113i | ||||
\(474\) | 9.54872 | + | 4.36075i | 0.0201450 | + | 0.00919990i | ||||
\(475\) | −15.3855 | − | 19.7776i | −0.0323906 | − | 0.0416370i | ||||
\(476\) | 393.058 | − | 115.412i | 0.825751 | − | 0.242462i | ||||
\(477\) | −389.329 | − | 520.082i | −0.816203 | − | 1.09032i | ||||
\(478\) | 70.3806 | − | 188.698i | 0.147240 | − | 0.394765i | ||||
\(479\) | −96.9005 | + | 13.9322i | −0.202297 | + | 0.0290860i | −0.242719 | − | 0.970097i | \(-0.578039\pi\) |
0.0404211 | + | 0.999183i | \(0.487130\pi\) | |||||||
\(480\) | 13.6648 | + | 5.51231i | 0.0284683 | + | 0.0114840i | ||||
\(481\) | −9.07971 | + | 10.4785i | −0.0188767 | + | 0.0217849i | ||||
\(482\) | −222.909 | + | 222.909i | −0.462467 | + | 0.462467i | ||||
\(483\) | 75.8591 | − | 18.6345i | 0.157058 | − | 0.0385807i | ||||
\(484\) | − | 59.1343i | − | 0.122178i | ||||||
\(485\) | −209.832 | + | 172.325i | −0.432642 | + | 0.355310i | ||||
\(486\) | −144.597 | + | 92.9270i | −0.297525 | + | 0.191208i | ||||
\(487\) | −508.595 | − | 380.730i | −1.04434 | − | 0.781786i | −0.0679292 | − | 0.997690i | \(-0.521639\pi\) |
−0.976415 | + | 0.215904i | \(0.930730\pi\) | |||||||
\(488\) | 88.1857 | − | 236.435i | 0.180708 | − | 0.484498i | ||||
\(489\) | −37.3601 | − | 5.37158i | −0.0764011 | − | 0.0109848i | ||||
\(490\) | −5.33458 | − | 45.6350i | −0.0108869 | − | 0.0931326i | ||||
\(491\) | 362.454 | + | 232.935i | 0.738196 | + | 0.474410i | 0.854923 | − | 0.518754i | \(-0.173604\pi\) |
−0.116728 | + | 0.993164i | \(0.537240\pi\) | |||||||
\(492\) | 10.5478 | + | 28.2797i | 0.0214386 | + | 0.0574790i | ||||
\(493\) | −104.026 | − | 190.509i | −0.211006 | − | 0.386428i | ||||
\(494\) | 0.238514 | − | 0.206674i | 0.000482823 | − | 0.000418368i | ||||
\(495\) | −520.096 | − | 127.624i | −1.05070 | − | 0.257826i | ||||
\(496\) | −217.764 | − | 63.9413i | −0.439041 | − | 0.128914i | ||||
\(497\) | −21.3821 | − | 57.3276i | −0.0430223 | − | 0.115347i | ||||
\(498\) | 23.5186 | + | 108.113i | 0.0472260 | + | 0.217095i | ||||
\(499\) | 175.205 | + | 596.694i | 0.351113 | + | 1.19578i | 0.925992 | + | 0.377542i | \(0.123231\pi\) |
−0.574880 | + | 0.818238i | \(0.694951\pi\) | |||||||
\(500\) | 247.728 | − | 33.6244i | 0.495457 | − | 0.0672488i | ||||
\(501\) | 45.5288 | + | 99.6942i | 0.0908759 | + | 0.198991i | ||||
\(502\) | −132.077 | − | 98.8714i | −0.263101 | − | 0.196955i | ||||
\(503\) | −592.118 | − | 128.807i | −1.17717 | − | 0.256078i | −0.418910 | − | 0.908028i | \(-0.637588\pi\) |
−0.758263 | + | 0.651949i | \(0.773951\pi\) | |||||||
\(504\) | −121.639 | − | 105.401i | −0.241348 | − | 0.209129i | ||||
\(505\) | 379.711 | + | 536.210i | 0.751903 | + | 1.06180i | ||||
\(506\) | −393.406 | + | 67.3189i | −0.777482 | + | 0.133041i | ||||
\(507\) | −62.2359 | + | 62.2359i | −0.122753 | + | 0.122753i | ||||
\(508\) | −177.931 | + | 12.7259i | −0.350258 | + | 0.0250509i | ||||
\(509\) | −251.548 | − | 391.417i | −0.494201 | − | 0.768992i | 0.501144 | − | 0.865364i | \(-0.332913\pi\) |
−0.995345 | + | 0.0963719i | \(0.969276\pi\) | |||||||
\(510\) | 3.05861 | − | 115.693i | 0.00599727 | − | 0.226850i | ||||
\(511\) | −211.145 | − | 462.344i | −0.413200 | − | 0.904782i | ||||
\(512\) | −13.5601 | − | 18.1142i | −0.0264846 | − | 0.0353793i | ||||
\(513\) | 8.12458 | + | 4.43636i | 0.0158374 | + | 0.00864787i | ||||
\(514\) | 108.324 | − | 168.555i | 0.210747 | − | 0.327929i | ||||
\(515\) | 627.094 | + | 426.840i | 1.21766 | + | 0.828815i | ||||
\(516\) | 51.8594 | + | 15.2273i | 0.100503 | + | 0.0295103i | ||||
\(517\) | 933.483 | + | 66.7640i | 1.80558 | + | 0.129137i | ||||
\(518\) | 40.9586 | − | 572.676i | 0.0790706 | − | 1.10555i | ||||
\(519\) | 23.7969 | − | 81.0448i | 0.0458514 | − | 0.156156i | ||||
\(520\) | 0.587774 | + | 3.09344i | 0.00113033 | + | 0.00594892i | ||||
\(521\) | −231.276 | − | 148.632i | −0.443908 | − | 0.285283i | 0.299530 | − | 0.954087i | \(-0.403170\pi\) |
−0.743439 | + | 0.668804i | \(0.766806\pi\) | |||||||
\(522\) | −40.8717 | + | 74.8509i | −0.0782983 | + | 0.143393i | ||||
\(523\) | 152.203 | − | 113.938i | 0.291020 | − | 0.217855i | −0.443785 | − | 0.896133i | \(-0.646365\pi\) |
0.734805 | + | 0.678279i | \(0.237274\pi\) | |||||||
\(524\) | 30.4594 | − | 13.9104i | 0.0581287 | − | 0.0265465i | ||||
\(525\) | 83.2868 | + | 16.5072i | 0.158641 | + | 0.0314423i | ||||
\(526\) | −179.353 | + | 115.263i | −0.340974 | + | 0.219131i | ||||
\(527\) | 127.172 | + | 1778.09i | 0.241313 | + | 3.37399i | ||||
\(528\) | −18.0803 | − | 18.0803i | −0.0342431 | − | 0.0342431i | ||||
\(529\) | 175.893 | + | 498.902i | 0.332500 | + | 0.943103i | ||||
\(530\) | −304.151 | − | 429.508i | −0.573870 | − | 0.810393i | ||||
\(531\) | −293.465 | + | 338.676i | −0.552664 | + | 0.637808i | ||||
\(532\) | −2.77794 | + | 12.7700i | −0.00522169 | + | 0.0240037i | ||||
\(533\) | −3.86534 | + | 5.16349i | −0.00725204 | + | 0.00968760i | ||||
\(534\) | −86.2812 | + | 39.4033i | −0.161575 | + | 0.0737889i | ||||
\(535\) | 152.403 | − | 472.467i | 0.284865 | − | 0.883117i | ||||
\(536\) | 73.5208 | − | 21.5876i | 0.137166 | − | 0.0402755i | ||||
\(537\) | 22.0520 | − | 4.79711i | 0.0410651 | − | 0.00893317i | ||||
\(538\) | 450.220 | − | 167.924i | 0.836841 | − | 0.312126i | ||||
\(539\) | −22.4627 | + | 76.5010i | −0.0416748 | + | 0.141931i | ||||
\(540\) | −78.9884 | + | 47.8614i | −0.146275 | + | 0.0886321i | ||||
\(541\) | −133.634 | − | 154.222i | −0.247013 | − | 0.285068i | 0.618680 | − | 0.785643i | \(-0.287668\pi\) |
−0.865693 | + | 0.500574i | \(0.833122\pi\) | |||||||
\(542\) | −212.116 | + | 115.824i | −0.391358 | + | 0.213697i | ||||
\(543\) | 137.749 | − | 51.3779i | 0.253682 | − | 0.0946185i | ||||
\(544\) | −96.0864 | + | 149.513i | −0.176629 | + | 0.274841i | ||||
\(545\) | 96.4380 | − | 121.969i | 0.176950 | − | 0.223796i | ||||
\(546\) | −0.152193 | + | 1.05853i | −0.000278742 | + | 0.00193870i | ||||
\(547\) | 952.337 | + | 355.204i | 1.74102 | + | 0.649367i | 0.999761 | − | 0.0218538i | \(-0.00695682\pi\) |
0.741258 | + | 0.671220i | \(0.234230\pi\) | |||||||
\(548\) | 35.4982 | − | 47.4200i | 0.0647777 | − | 0.0865329i | ||||
\(549\) | 421.022 | + | 655.122i | 0.766888 | + | 1.19330i | ||||
\(550\) | −418.451 | − | 114.487i | −0.760821 | − | 0.208158i | ||||
\(551\) | 6.92461 | 0.0125674 | ||||||||
\(552\) | −19.5785 | + | 27.6623i | −0.0354683 | + | 0.0501128i | ||||
\(553\) | −65.6839 | − | 65.6839i | −0.118777 | − | 0.118777i | ||||
\(554\) | 367.974 | + | 318.851i | 0.664213 | + | 0.575544i | ||||
\(555\) | −150.426 | − | 60.6812i | −0.271038 | − | 0.109336i | ||||
\(556\) | −1.31997 | − | 9.18059i | −0.00237405 | − | 0.0165119i | ||||
\(557\) | −446.899 | − | 166.685i | −0.802331 | − | 0.299254i | −0.0853541 | − | 0.996351i | \(-0.527202\pi\) |
−0.716977 | + | 0.697097i | \(0.754475\pi\) | |||||||
\(558\) | 560.697 | − | 419.733i | 1.00483 | − | 0.752209i | ||||
\(559\) | 3.25405 | + | 11.0823i | 0.00582120 | + | 0.0198252i | ||||
\(560\) | −96.2494 | − | 87.9601i | −0.171874 | − | 0.157072i | ||||
\(561\) | −83.4300 | + | 182.686i | −0.148717 | + | 0.325644i | ||||
\(562\) | 456.594 | − | 249.319i | 0.812445 | − | 0.443629i | ||||
\(563\) | 19.2653 | − | 269.364i | 0.0342190 | − | 0.478444i | −0.951231 | − | 0.308479i | \(-0.900180\pi\) |
0.985450 | − | 0.169965i | \(-0.0543654\pi\) | |||||||
\(564\) | 60.0556 | − | 52.0385i | 0.106482 | − | 0.0922668i | ||||
\(565\) | 38.4432 | − | 78.6117i | 0.0680410 | − | 0.139136i | ||||
\(566\) | −59.8589 | + | 131.073i | −0.105758 | + | 0.231577i | ||||
\(567\) | 469.792 | − | 102.197i | 0.828557 | − | 0.180241i | ||||
\(568\) | 23.2982 | + | 12.7218i | 0.0410179 | + | 0.0223975i | ||||
\(569\) | −858.779 | − | 123.474i | −1.50928 | − | 0.217001i | −0.662546 | − | 0.749022i | \(-0.730524\pi\) |
−0.846732 | + | 0.532020i | \(0.821433\pi\) | |||||||
\(570\) | 3.19260 | + | 1.85447i | 0.00560105 | + | 0.00325345i | ||||
\(571\) | 56.7278 | + | 394.550i | 0.0993481 | + | 0.690981i | 0.977242 | + | 0.212126i | \(0.0680389\pi\) |
−0.877894 | + | 0.478855i | \(0.841052\pi\) | |||||||
\(572\) | 1.16149 | − | 5.33928i | 0.00203058 | − | 0.00933441i | ||||
\(573\) | −128.381 | + | 9.18200i | −0.224051 | + | 0.0160244i | ||||
\(574\) | − | 267.087i | − | 0.465309i | ||||||
\(575\) | −56.0222 | + | 572.264i | −0.0974300 | + | 0.995242i | ||||
\(576\) | 69.8289 | 0.121231 | ||||||||
\(577\) | −42.3560 | − | 592.214i | −0.0734072 | − | 1.02637i | −0.892013 | − | 0.452011i | \(-0.850707\pi\) |
0.818605 | − | 0.574356i | \(-0.194748\pi\) | |||||||
\(578\) | 964.685 | + | 209.854i | 1.66901 | + | 0.363070i | ||||
\(579\) | 38.6000 | − | 5.54984i | 0.0666667 | − | 0.00958522i | ||||
\(580\) | −34.7012 | + | 59.7407i | −0.0598297 | + | 0.103001i | ||||
\(581\) | 139.336 | − | 969.103i | 0.239821 | − | 1.66799i | ||||
\(582\) | 19.1739 | − | 35.1144i | 0.0329449 | − | 0.0603340i | ||||
\(583\) | 194.134 | + | 892.418i | 0.332991 | + | 1.53073i | ||||
\(584\) | 200.587 | + | 91.6052i | 0.343472 | + | 0.156858i | ||||
\(585\) | −8.72934 | − | 4.26888i | −0.0149220 | − | 0.00729722i | ||||
\(586\) | −45.7489 | − | 52.7970i | −0.0780698 | − | 0.0900973i | ||||
\(587\) | 197.573 | + | 14.1307i | 0.336581 | + | 0.0240727i | 0.238607 | − | 0.971116i | \(-0.423309\pi\) |
0.0979738 | + | 0.995189i | \(0.468764\pi\) | |||||||
\(588\) | 3.24450 | + | 5.94186i | 0.00551786 | + | 0.0101052i | ||||
\(589\) | −51.7302 | − | 23.6244i | −0.0878272 | − | 0.0401094i | ||||
\(590\) | −244.904 | + | 267.984i | −0.415092 | + | 0.454210i | ||||
\(591\) | −30.2993 | + | 8.89669i | −0.0512679 | + | 0.0150536i | ||||
\(592\) | 149.274 | + | 199.406i | 0.252152 | + | 0.336835i | ||||
\(593\) | −224.332 | + | 601.458i | −0.378300 | + | 1.01426i | 0.598690 | + | 0.800981i | \(0.295688\pi\) |
−0.976991 | + | 0.213282i | \(0.931585\pi\) | |||||||
\(594\) | 158.638 | − | 22.8088i | 0.267068 | − | 0.0383986i | ||||
\(595\) | −383.130 | + | 949.763i | −0.643916 | + | 1.59624i | ||||
\(596\) | −287.097 | + | 331.328i | −0.481707 | + | 0.555919i | ||||
\(597\) | −9.06229 | + | 9.06229i | −0.0151797 | + | 0.0151797i | ||||
\(598\) | −7.23496 | − | 0.323783i | −0.0120986 | − | 0.000541443i | ||||
\(599\) | 689.110i | 1.15043i | 0.818001 | + | 0.575217i | \(0.195083\pi\) | ||||
−0.818001 | + | 0.575217i | \(0.804917\pi\) | |||||||
\(600\) | −31.9981 | + | 18.2503i | −0.0533301 | + | 0.0304171i | ||||
\(601\) | 399.482 | − | 256.732i | 0.664696 | − | 0.427174i | −0.164314 | − | 0.986408i | \(-0.552541\pi\) |
0.829010 | + | 0.559234i | \(0.188905\pi\) | |||||||
\(602\) | −382.881 | − | 286.621i | −0.636016 | − | 0.476115i | ||||
\(603\) | −82.6363 | + | 221.557i | −0.137042 | + | 0.367424i | ||||
\(604\) | 191.667 | + | 27.5576i | 0.317330 | + | 0.0456251i | ||||
\(605\) | 115.966 | + | 91.6914i | 0.191679 | + | 0.151556i | ||||
\(606\) | −81.4442 | − | 52.3410i | −0.134396 | − | 0.0863714i | ||||
\(607\) | 38.4846 | + | 103.181i | 0.0634013 | + | 0.169985i | 0.964787 | − | 0.263031i | \(-0.0847220\pi\) |
−0.901386 | + | 0.433016i | \(0.857449\pi\) | |||||||
\(608\) | −2.71725 | − | 4.97628i | −0.00446917 | − | 0.00818467i | ||||
\(609\) | −17.7330 | + | 15.3657i | −0.0291182 | + | 0.0252311i | ||||
\(610\) | 326.926 | + | 539.545i | 0.535944 | + | 0.884500i | ||||
\(611\) | 16.2937 | + | 4.78425i | 0.0266672 | + | 0.00783020i | ||||
\(612\) | −191.671 | − | 513.889i | −0.313188 | − | 0.839688i | ||||
\(613\) | −59.5633 | − | 273.808i | −0.0971669 | − | 0.446669i | −0.999866 | − | 0.0163957i | \(-0.994781\pi\) |
0.902699 | − | 0.430273i | \(-0.141583\pi\) | |||||||
\(614\) | −27.0104 | − | 91.9889i | −0.0439908 | − | 0.149819i | ||||
\(615\) | −71.8132 | − | 23.1646i | −0.116769 | − | 0.0376660i | ||||
\(616\) | 93.9936 | + | 205.817i | 0.152587 | + | 0.334119i | ||||
\(617\) | −371.026 | − | 277.747i | −0.601339 | − | 0.450157i | 0.254734 | − | 0.967011i | \(-0.418012\pi\) |
−0.856073 | + | 0.516854i | \(0.827103\pi\) | |||||||
\(618\) | −109.220 | − | 23.7593i | −0.176731 | − | 0.0384455i | ||||
\(619\) | −224.386 | − | 194.431i | −0.362497 | − | 0.314106i | 0.454501 | − | 0.890746i | \(-0.349818\pi\) |
−0.816998 | + | 0.576641i | \(0.804363\pi\) | |||||||
\(620\) | 463.050 | − | 327.904i | 0.746855 | − | 0.528877i | ||||
\(621\) | −65.2615 | − | 202.148i | −0.105091 | − | 0.325521i | ||||
\(622\) | 352.980 | − | 352.980i | 0.567491 | − | 0.567491i | ||||
\(623\) | 837.215 | − | 59.8788i | 1.34384 | − | 0.0961136i | ||||
\(624\) | −0.250838 | − | 0.390311i | −0.000401984 | − | 0.000625499i | ||||
\(625\) | −318.179 | + | 537.947i | −0.509087 | + | 0.860715i | ||||
\(626\) | −95.8276 | − | 209.833i | −0.153079 | − | 0.335197i | ||||
\(627\) | −3.83958 | − | 5.12908i | −0.00612374 | − | 0.00818035i | ||||
\(628\) | 479.037 | + | 261.574i | 0.762798 | + | 0.416519i | ||||
\(629\) | 1057.75 | − | 1645.89i | 1.68164 | − | 2.61668i | ||||
\(630\) | 395.307 | − | 75.1111i | 0.627472 | − | 0.119224i | ||||
\(631\) | 555.043 | + | 162.975i | 0.879624 | + | 0.258281i | 0.690204 | − | 0.723615i | \(-0.257521\pi\) |
0.189420 | + | 0.981896i | \(0.439339\pi\) | |||||||
\(632\) | 40.1980 | + | 2.87502i | 0.0636045 | + | 0.00454908i | ||||
\(633\) | 4.62201 | − | 64.6241i | 0.00730175 | − | 0.102092i | ||||
\(634\) | 176.863 | − | 602.340i | 0.278963 | − | 0.950062i | ||||
\(635\) | 250.937 | − | 368.666i | 0.395176 | − | 0.580576i | ||||
\(636\) | 65.2374 | + | 41.9255i | 0.102575 | + | 0.0659207i | ||||
\(637\) | −0.693344 | + | 1.26977i | −0.00108845 | + | 0.00199335i | ||||
\(638\) | 95.9766 | − | 71.8472i | 0.150434 | − | 0.112613i | ||||
\(639\) | −74.5164 | + | 34.0305i | −0.116614 | + | 0.0532559i | ||||
\(640\) | 56.5488 | + | 1.49499i | 0.0883575 | + | 0.00233592i | ||||
\(641\) | −370.023 | + | 237.800i | −0.577260 | + | 0.370982i | −0.796454 | − | 0.604699i | \(-0.793293\pi\) |
0.219194 | + | 0.975681i | \(0.429657\pi\) | |||||||
\(642\) | 5.21838 | + | 72.9625i | 0.00812832 | + | 0.113649i | ||||
\(643\) | 262.392 | + | 262.392i | 0.408075 | + | 0.408075i | 0.881067 | − | 0.472992i | \(-0.156826\pi\) |
−0.472992 | + | 0.881067i | \(0.656826\pi\) | |||||||
\(644\) | 247.870 | − | 168.805i | 0.384892 | − | 0.262120i | ||||
\(645\) | −110.273 | + | 78.0886i | −0.170966 | + | 0.121068i | ||||
\(646\) | −29.1633 | + | 33.6562i | −0.0451444 | + | 0.0520994i | ||||
\(647\) | 132.918 | − | 611.012i | 0.205437 | − | 0.944378i | −0.752766 | − | 0.658288i | \(-0.771281\pi\) |
0.958203 | − | 0.286090i | \(-0.0923555\pi\) | |||||||
\(648\) | −125.001 | + | 166.981i | −0.192902 | + | 0.257687i | ||||
\(649\) | 573.050 | − | 261.703i | 0.882974 | − | 0.403241i | ||||
\(650\) | −6.97780 | − | 3.64391i | −0.0107351 | − | 0.00560601i | ||||
\(651\) | 184.897 | − | 54.2906i | 0.284020 | − | 0.0833957i | ||||
\(652\) | −141.594 | + | 30.8019i | −0.217169 | + | 0.0472422i | ||||
\(653\) | 405.609 | − | 151.284i | 0.621146 | − | 0.231676i | −0.0191339 | − | 0.999817i | \(-0.506091\pi\) |
0.640280 | + | 0.768141i | \(0.278818\pi\) | |||||||
\(654\) | −6.45472 | + | 21.9828i | −0.00986960 | + | 0.0336128i | ||||
\(655\) | −19.9502 | + | 81.3017i | −0.0304583 | + | 0.124125i | ||||
\(656\) | 75.8823 | + | 87.5729i | 0.115674 | + | 0.133495i | ||||
\(657\) | −597.274 | + | 326.136i | −0.909093 | + | 0.496402i | ||||
\(658\) | −658.850 | + | 245.738i | −1.00129 | + | 0.373463i | ||||
\(659\) | 461.935 | − | 718.786i | 0.700964 | − | 1.09072i | −0.290056 | − | 0.957010i | \(-0.593674\pi\) |
0.991020 | − | 0.133712i | \(-0.0426897\pi\) | |||||||
\(660\) | 63.4913 | − | 7.42193i | 0.0961990 | − | 0.0112454i | ||||
\(661\) | −80.3176 | + | 558.621i | −0.121509 | + | 0.845115i | 0.834338 | + | 0.551253i | \(0.185850\pi\) |
−0.955848 | + | 0.293863i | \(0.905059\pi\) | |||||||
\(662\) | 691.685 | + | 257.985i | 1.04484 | + | 0.389706i | ||||
\(663\) | −2.18389 | + | 2.91733i | −0.00329395 | + | 0.00440020i | ||||
\(664\) | 229.647 | + | 357.338i | 0.345854 | + | 0.538159i | ||||
\(665\) | −20.7353 | − | 25.2484i | −0.0311809 | − | 0.0379674i | ||||
\(666\) | −768.698 | −1.15420 | ||||||||
\(667\) | −115.318 | − | 109.324i | −0.172890 | − | 0.163903i | ||||
\(668\) | 297.525 | + | 297.525i | 0.445396 | + | 0.445396i | ||||
\(669\) | −16.6397 | − | 14.4184i | −0.0248725 | − | 0.0215522i | ||||
\(670\) | −71.6639 | + | 177.652i | −0.106961 | + | 0.265152i | ||||
\(671\) | −155.799 | − | 1083.61i | −0.232190 | − | 1.61492i | ||||
\(672\) | 18.0009 | + | 6.71399i | 0.0267870 | + | 0.00999105i | ||||
\(673\) | −475.649 | + | 356.067i | −0.706760 | + | 0.529074i | −0.891110 | − | 0.453787i | \(-0.850073\pi\) |
0.184351 | + | 0.982861i | \(0.440982\pi\) | |||||||
\(674\) | 78.0584 | + | 265.843i | 0.115814 | + | 0.394425i | ||||
\(675\) | 28.6175 | − | 229.113i | 0.0423962 | − | 0.339427i | ||||
\(676\) | −140.369 | + | 307.365i | −0.207647 | + | 0.454683i | ||||
\(677\) | −603.445 | + | 329.506i | −0.891352 | + | 0.486715i | −0.858540 | − | 0.512747i | \(-0.828628\pi\) |
−0.0328117 | + | 0.999462i | \(0.510446\pi\) | |||||||
\(678\) | −0.919853 | + | 12.8612i | −0.00135671 | + | 0.0189694i | ||||
\(679\) | −267.561 | + | 231.843i | −0.394051 | + | 0.341447i | ||||
\(680\) | −144.217 | − | 420.261i | −0.212083 | − | 0.618031i | ||||
\(681\) | 50.8614 | − | 111.371i | 0.0746863 | − | 0.163540i | ||||
\(682\) | −962.110 | + | 209.294i | −1.41072 | + | 0.306883i | ||||
\(683\) | −339.620 | − | 185.446i | −0.497247 | − | 0.271517i | 0.210995 | − | 0.977487i | \(-0.432330\pi\) |
−0.708242 | + | 0.705970i | \(0.750511\pi\) | |||||||
\(684\) | 17.3191 | + | 2.49011i | 0.0253204 | + | 0.00364052i | ||||
\(685\) | 37.9514 | + | 143.142i | 0.0554034 | + | 0.208966i | ||||
\(686\) | −72.8193 | − | 506.469i | −0.106151 | − | 0.738293i | ||||
\(687\) | −13.2878 | + | 61.0832i | −0.0193418 | + | 0.0889130i | ||||
\(688\) | 206.972 | − | 14.8029i | 0.300831 | − | 0.0215159i | ||||
\(689\) | 16.5719i | 0.0240520i | ||||||||
\(690\) | −23.8897 | − | 81.2868i | −0.0346227 | − | 0.117807i | ||||
\(691\) | −259.000 | −0.374819 | −0.187409 | − | 0.982282i | \(-0.560009\pi\) | ||||
−0.187409 | + | 0.982282i | \(0.560009\pi\) | |||||||
\(692\) | −23.1337 | − | 323.451i | −0.0334302 | − | 0.467415i | ||||
\(693\) | −682.301 | − | 148.426i | −0.984562 | − | 0.214178i | ||||
\(694\) | −298.603 | + | 42.9326i | −0.430263 | + | 0.0618625i | ||||
\(695\) | 20.0504 | + | 11.6465i | 0.0288495 | + | 0.0167576i | ||||
\(696\) | 1.44875 | − | 10.0763i | 0.00208154 | − | 0.0144774i | ||||
\(697\) | 436.185 | − | 798.814i | 0.625804 | − | 1.14607i | ||||
\(698\) | −12.5479 | − | 57.6819i | −0.0179770 | − | 0.0826388i | ||||
\(699\) | −11.3396 | − | 5.17860i | −0.0162225 | − | 0.00740859i | ||||
\(700\) | 321.736 | − | 52.3631i | 0.459622 | − | 0.0748045i | ||||
\(701\) | −372.936 | − | 430.391i | −0.532005 | − | 0.613967i | 0.424590 | − | 0.905386i | \(-0.360418\pi\) |
−0.956596 | + | 0.291419i | \(0.905873\pi\) | |||||||
\(702\) | 2.90072 | + | 0.207464i | 0.00413208 | + | 0.000295532i | ||||
\(703\) | 29.9124 | + | 54.7804i | 0.0425496 | + | 0.0779238i | ||||
\(704\) | −89.2937 | − | 40.7791i | −0.126838 | − | 0.0579248i | ||||
\(705\) | 8.93060 | + | 198.462i | 0.0126675 | + | 0.281506i | ||||
\(706\) | −242.324 | + | 71.1527i | −0.343235 | + | 0.100783i | ||||
\(707\) | 513.400 | + | 685.823i | 0.726167 | + | 0.970046i | ||||
\(708\) | 18.6935 | − | 50.1193i | 0.0264033 | − | 0.0707899i | ||||
\(709\) | −456.125 | + | 65.5809i | −0.643336 | + | 0.0924977i | −0.456258 | − | 0.889847i | \(-0.650811\pi\) |
−0.187078 | + | 0.982345i | \(0.559902\pi\) | |||||||
\(710\) | −61.0734 | + | 25.9632i | −0.0860189 | + | 0.0365679i | ||||
\(711\) | −81.4445 | + | 93.9920i | −0.114549 | + | 0.132197i | ||||
\(712\) | −257.495 | + | 257.495i | −0.361650 | + | 0.361650i | ||||
\(713\) | 488.506 | + | 1210.13i | 0.685141 | + | 1.69723i | ||||
\(714\) | − | 150.902i | − | 0.211348i | ||||||
\(715\) | 8.66969 | + | 10.5566i | 0.0121254 | + | 0.0147645i | ||||
\(716\) | 72.8867 | − | 46.8414i | 0.101797 | − | 0.0654210i | ||||
\(717\) | −59.3903 | − | 44.4590i | −0.0828316 | − | 0.0620070i | ||||
\(718\) | −126.623 | + | 339.489i | −0.176355 | + | 0.472826i | ||||
\(719\) | 121.493 | + | 17.4681i | 0.168975 | + | 0.0242950i | 0.226283 | − | 0.974062i | \(-0.427343\pi\) |
−0.0573079 | + | 0.998357i | \(0.518252\pi\) | |||||||
\(720\) | −108.274 | + | 136.939i | −0.150381 | + | 0.190193i | ||||
\(721\) | 832.076 | + | 534.742i | 1.15406 | + | 0.741668i | ||||
\(722\) | 177.916 | + | 477.011i | 0.246421 | + | 0.660680i | ||||
\(723\) | 55.6527 | + | 101.920i | 0.0769746 | + | 0.140968i | ||||
\(724\) | 426.564 | − | 369.620i | 0.589177 | − | 0.510525i | ||||
\(725\) | −63.3487 | − | 160.683i | −0.0873775 | − | 0.221632i | ||||
\(726\) | −20.9008 | − | 6.13703i | −0.0287890 | − | 0.00845321i | ||||
\(727\) | 286.305 | + | 767.613i | 0.393817 | + | 1.05586i | 0.970964 | + | 0.239224i | \(0.0768930\pi\) |
−0.577147 | + | 0.816640i | \(0.695834\pi\) | |||||||
\(728\) | 0.872713 | + | 4.01180i | 0.00119878 | + | 0.00551071i | ||||
\(729\) | −169.152 | − | 576.079i | −0.232033 | − | 0.790231i | ||||
\(730\) | −490.667 | + | 251.324i | −0.672146 | + | 0.344280i | ||||
\(731\) | −677.048 | − | 1482.53i | −0.926195 | − | 2.02808i | ||||
\(732\) | −74.4151 | − | 55.7064i | −0.101660 | − | 0.0761017i | ||||
\(733\) | 417.578 | + | 90.8384i | 0.569683 | + | 0.123927i | 0.488175 | − | 0.872746i | \(-0.337663\pi\) |
0.0815079 | + | 0.996673i | \(0.474026\pi\) | |||||||
\(734\) | −763.823 | − | 661.856i | −1.04063 | − | 0.901711i | ||||
\(735\) | −16.6831 | − | 2.85057i | −0.0226982 | − | 0.00387832i | ||||
\(736\) | −33.3126 | + | 125.771i | −0.0452617 | + | 0.170884i | ||||
\(737\) | 235.057 | − | 235.057i | 0.318938 | − | 0.318938i | ||||
\(738\) | −356.684 | + | 25.5106i | −0.483312 | + | 0.0345672i | ||||
\(739\) | −136.810 | − | 212.881i | −0.185129 | − | 0.288066i | 0.736267 | − | 0.676691i | \(-0.236587\pi\) |
−0.921396 | + | 0.388625i | \(0.872950\pi\) | |||||||
\(740\) | −622.506 | − | 16.4573i | −0.841225 | − | 0.0222396i | ||||
\(741\) | −0.0482948 | − | 0.105751i | −6.51752e−5 | − | 0.000142714i | ||||
\(742\) | −411.237 | − | 549.349i | −0.554228 | − | 0.740362i | ||||
\(743\) | −713.402 | − | 389.547i | −0.960164 | − | 0.524289i | −0.0788843 | − | 0.996884i | \(-0.525136\pi\) |
−0.881280 | + | 0.472594i | \(0.843318\pi\) | |||||||
\(744\) | −45.1997 | + | 70.3320i | −0.0607522 | + | 0.0945323i | ||||
\(745\) | −204.592 | − | 1076.76i | −0.274619 | − | 1.44531i | ||||
\(746\) | 159.798 | + | 46.9208i | 0.214206 | + | 0.0628966i | ||||
\(747\) | −1307.51 | − | 93.5147i | −1.75034 | − | 0.125187i | ||||
\(748\) | −55.0049 | + | 769.069i | −0.0735360 | + | 1.02817i | ||||
\(749\) | 182.364 | − | 621.075i | 0.243477 | − | 0.829206i | ||||
\(750\) | 13.8251 | − | 91.0483i | 0.0184335 | − | 0.121398i | ||||
\(751\) | 269.493 | + | 173.192i | 0.358845 | + | 0.230616i | 0.707624 | − | 0.706589i | \(-0.249767\pi\) |
−0.348779 | + | 0.937205i | \(0.613404\pi\) | |||||||
\(752\) | 146.208 | − | 267.759i | 0.194425 | − | 0.356063i | ||||
\(753\) | −48.6528 | + | 36.4211i | −0.0646120 | + | 0.0483679i | ||||
\(754\) | 1.97884 | − | 0.903704i | 0.00262445 | − | 0.00119855i | ||||
\(755\) | −351.234 | + | 333.141i | −0.465211 | + | 0.441246i | ||||
\(756\) | −101.306 | + | 65.1053i | −0.134002 | + | 0.0861181i | ||||
\(757\) | −36.7812 | − | 514.269i | −0.0485881 | − | 0.679351i | −0.962127 | − | 0.272600i | \(-0.912116\pi\) |
0.913539 | − | 0.406751i | \(-0.133338\pi\) | |||||||
\(758\) | 552.586 | + | 552.586i | 0.729005 | + | 0.729005i | ||||
\(759\) | −17.0345 | + | 146.034i | −0.0224434 | + | 0.192404i | ||||
\(760\) | 13.9721 | + | 2.38733i | 0.0183843 | + | 0.00314123i | ||||
\(761\) | −525.399 | + | 606.343i | −0.690406 | + | 0.796771i | −0.987423 | − | 0.158101i | \(-0.949463\pi\) |
0.297017 | + | 0.954872i | \(0.404008\pi\) | |||||||
\(762\) | −13.9680 | + | 64.2098i | −0.0183307 | + | 0.0842648i | ||||
\(763\) | 121.496 | − | 162.300i | 0.159235 | − | 0.212713i | ||||
\(764\) | −449.478 | + | 205.270i | −0.588322 | + | 0.268677i | ||||
\(765\) | 1304.97 | + | 420.940i | 1.70584 | + | 0.550248i | ||||
\(766\) | −645.210 | + | 189.451i | −0.842311 | + | 0.247325i | ||||
\(767\) | 11.1699 | − | 2.42986i | 0.0145631 | − | 0.00316801i | ||||
\(768\) | −7.80967 | + | 2.91286i | −0.0101688 | + | 0.00379278i | ||||
\(769\) | 363.356 | − | 1237.48i | 0.472505 | − | 1.60920i | −0.286473 | − | 0.958088i | \(-0.592483\pi\) |
0.758978 | − | 0.651116i | \(-0.225699\pi\) | |||||||
\(770\) | −549.363 | − | 134.806i | −0.713459 | − | 0.175072i | ||||
\(771\) | −48.3333 | − | 55.7796i | −0.0626891 | − | 0.0723471i | ||||
\(772\) | 131.401 | − | 71.7505i | 0.170209 | − | 0.0929411i | ||||
\(773\) | 623.246 | − | 232.459i | 0.806269 | − | 0.300723i | 0.0876720 | − | 0.996149i | \(-0.472057\pi\) |
0.718597 | + | 0.695427i | \(0.244785\pi\) | |||||||
\(774\) | −346.201 | + | 538.699i | −0.447288 | + | 0.695994i | ||||
\(775\) | −74.9491 | + | 1416.50i | −0.0967086 | + | 1.82775i | ||||
\(776\) | 21.8592 | − | 152.034i | 0.0281690 | − | 0.195920i | ||||
\(777\) | −198.159 | − | 73.9096i | −0.255031 | − | 0.0951218i | ||||
\(778\) | −8.23586 | + | 11.0018i | −0.0105859 | + | 0.0141412i | ||||
\(779\) | 15.6977 | + | 24.4260i | 0.0201510 | + | 0.0313556i | ||||
\(780\) | 1.15436 | + | 0.113294i | 0.00147995 | + | 0.000145249i | ||||
\(781\) | 115.161 | 0.147454 | ||||||||
\(782\) | 1017.02 | − | 100.067i | 1.30054 | − | 0.127963i | ||||
\(783\) | 45.1188 | + | 45.1188i | 0.0576230 | + | 0.0576230i | ||||
\(784\) | 19.6426 | + | 17.0204i | 0.0250543 | + | 0.0217097i | ||||
\(785\) | −1255.74 | + | 533.834i | −1.59967 | + | 0.680043i | ||||
\(786\) | −1.75545 | − | 12.2094i | −0.00223339 | − | 0.0155336i | ||||
\(787\) | 729.742 | + | 272.180i | 0.927246 | + | 0.345845i | 0.767305 | − | 0.641282i | \(-0.221597\pi\) |
0.159940 | + | 0.987127i | \(0.448870\pi\) | |||||||
\(788\) | −97.0529 | + | 72.6529i | −0.123164 | + | 0.0921991i | ||||
\(789\) | 22.1258 | + | 75.3536i | 0.0280429 | + | 0.0955052i | ||||
\(790\) | −67.9677 | + | 74.3729i | −0.0860350 | + | 0.0941428i | ||||
\(791\) | 47.3988 | − | 103.789i | 0.0599226 | − | 0.131212i | ||||
\(792\) | 265.883 | − | 145.183i | 0.335711 | − | 0.183312i | ||||
\(793\) | 1.41712 | − | 19.8139i | 0.00178704 | − | 0.0249860i | ||||
\(794\) | −106.093 | + | 91.9302i | −0.133619 | + | 0.115781i | ||||
\(795\) | −183.373 | + | 62.9263i | −0.230658 | + | 0.0791526i | ||||
\(796\) | −20.4394 | + | 44.7561i | −0.0256777 | + | 0.0562263i | ||||
\(797\) | −85.9136 | + | 18.6894i | −0.107796 | + | 0.0234496i | −0.266140 | − | 0.963934i | \(-0.585748\pi\) |
0.158344 | + | 0.987384i | \(0.449385\pi\) | |||||||
\(798\) | 4.22520 | + | 2.30714i | 0.00529474 | + | 0.00289115i | ||||
\(799\) | −2371.83 | − | 341.018i | −2.96850 | − | 0.426806i | ||||
\(800\) | −90.6142 | + | 108.577i | −0.113268 | + | 0.135722i | ||||
\(801\) | −159.931 | − | 1112.35i | −0.199665 | − | 1.38870i | ||||
\(802\) | 76.6824 | − | 352.503i | 0.0956139 | − | 0.439530i | ||||
\(803\) | 954.223 | − | 68.2474i | 1.18832 | − | 0.0849905i | ||||
\(804\) | − | 28.2260i | − | 0.0351070i | ||||||
\(805\) | −53.3010 | + | 747.831i | −0.0662124 | + | 0.928983i | ||||
\(806\) | −17.8660 | −0.0221663 | ||||||||
\(807\) | −12.6275 | − | 176.556i | −0.0156475 | − | 0.218781i | ||||
\(808\) | −363.184 | − | 79.0058i | −0.449485 | − | 0.0977795i | ||||
\(809\) | −535.658 | + | 77.0160i | −0.662124 | + | 0.0951990i | −0.465180 | − | 0.885216i | \(-0.654011\pi\) |
−0.196943 | + | 0.980415i | \(0.563101\pi\) | |||||||
\(810\) | −133.639 | − | 504.049i | −0.164986 | − | 0.622282i | ||||
\(811\) | −156.592 | + | 1089.12i | −0.193085 | + | 1.34293i | 0.630698 | + | 0.776028i | \(0.282769\pi\) |
−0.823783 | + | 0.566905i | \(0.808141\pi\) | |||||||
\(812\) | −43.1717 | + | 79.0630i | −0.0531671 | + | 0.0973682i | ||||
\(813\) | 18.9239 | + | 86.9919i | 0.0232767 | + | 0.107001i | ||||
\(814\) | 982.972 | + | 448.908i | 1.20758 | + | 0.551485i | ||||
\(815\) | 159.146 | − | 325.435i | 0.195271 | − | 0.399306i | ||||
\(816\) | 42.8730 | + | 49.4781i | 0.0525404 | + | 0.0606349i | ||||
\(817\) | 51.8616 | + | 3.70921i | 0.0634780 | + | 0.00454004i | ||||
\(818\) | −10.9965 | − | 20.1385i | −0.0134431 | − | 0.0246193i | ||||
\(819\) | −11.5251 | − | 5.26334i | −0.0140722 | − | 0.00642654i | ||||
\(820\) | −289.396 | + | 13.0226i | −0.352922 | + | 0.0158812i | ||||
\(821\) | −413.242 | + | 121.339i | −0.503339 | + | 0.147794i | −0.523538 | − | 0.852002i | \(-0.675388\pi\) |
0.0201988 | + | 0.999796i | \(0.493570\pi\) | |||||||
\(822\) | −13.0764 | − | 17.4680i | −0.0159080 | − | 0.0212506i | ||||
\(823\) | −91.0945 | + | 244.234i | −0.110686 | + | 0.296760i | −0.980469 | − | 0.196674i | \(-0.936986\pi\) |
0.869783 | + | 0.493434i | \(0.164259\pi\) | |||||||
\(824\) | −424.748 | + | 61.0696i | −0.515471 | + | 0.0741136i | ||||
\(825\) | −83.8925 | + | 136.019i | −0.101688 | + | 0.164871i | ||||
\(826\) | −309.979 | + | 357.734i | −0.375277 | + | 0.433093i | ||||
\(827\) | 944.657 | − | 944.657i | 1.14227 | − | 1.14227i | 0.154235 | − | 0.988034i | \(-0.450709\pi\) |
0.988034 | − | 0.154235i | \(-0.0492913\pi\) | |||||||
\(828\) | −249.108 | − | 314.898i | −0.300855 | − | 0.380311i | ||||
\(829\) | − | 135.042i | − | 0.162897i | −0.996678 | − | 0.0814486i | \(-0.974045\pi\) | ||
0.996678 | − | 0.0814486i | \(-0.0259547\pi\) | |||||||
\(830\) | −1056.84 | − | 103.723i | −1.27330 | − | 0.124967i | ||||
\(831\) | 150.886 | − | 96.9683i | 0.181571 | − | 0.116689i | ||||
\(832\) | −1.42594 | − | 1.06745i | −0.00171387 | − | 0.00128299i | ||||
\(833\) | 71.3413 | − | 191.273i | 0.0856438 | − | 0.229620i | ||||
\(834\) | −3.38183 | − | 0.486234i | −0.00405496 | − | 0.000583015i | ||||
\(835\) | −1044.79 | + | 122.133i | −1.25125 | + | 0.146267i | ||||
\(836\) | −20.6926 | − | 13.2984i | −0.0247520 | − | 0.0159071i | ||||
\(837\) | −183.130 | − | 490.990i | −0.218793 | − | 0.586606i | ||||
\(838\) | 492.627 | + | 902.179i | 0.587860 | + | 1.07659i | ||||
\(839\) | 684.586 | − | 593.197i | 0.815954 | − | 0.707028i | −0.143267 | − | 0.989684i | \(-0.545761\pi\) |
0.959221 | + | 0.282656i | \(0.0912154\pi\) | |||||||
\(840\) | −41.0780 | + | 24.8904i | −0.0489024 | + | 0.0296314i | ||||
\(841\) | −761.136 | − | 223.490i | −0.905037 | − | 0.265743i | ||||
\(842\) | 27.7256 | + | 74.3353i | 0.0329283 | + | 0.0882842i | ||||
\(843\) | −40.7351 | − | 187.256i | −0.0483216 | − | 0.222131i | ||||
\(844\) | −70.0766 | − | 238.659i | −0.0830291 | − | 0.282771i | ||||
\(845\) | −385.111 | − | 751.862i | −0.455753 | − | 0.889777i | ||||
\(846\) | 391.103 | + | 856.397i | 0.462297 | + | 1.01229i | ||||
\(847\) | 154.312 | + | 115.516i | 0.182186 | + | 0.136383i | ||||
\(848\) | 290.913 | + | 63.2842i | 0.343058 | + | 0.0746277i | ||||
\(849\) | 40.1149 | + | 34.7598i | 0.0472496 | + | 0.0409420i | ||||
\(850\) | 1047.77 | + | 368.824i | 1.23268 | + | 0.433910i | ||||
\(851\) | 366.715 | − | 1384.52i | 0.430923 | − | 1.62694i | ||||
\(852\) | 6.91437 | − | 6.91437i | 0.00811546 | − | 0.00811546i | ||||
\(853\) | −817.611 | + | 58.4767i | −0.958512 | + | 0.0685541i | −0.541821 | − | 0.840494i | \(-0.682265\pi\) |
−0.416691 | + | 0.909048i | \(0.636810\pi\) | |||||||
\(854\) | 444.714 | + | 691.988i | 0.520742 | + | 0.810290i | ||||
\(855\) | −31.7377 | + | 30.1028i | −0.0371201 | + | 0.0352079i | ||||
\(856\) | 116.660 | + | 255.451i | 0.136285 | + | 0.298424i | ||||
\(857\) | −9.87548 | − | 13.1921i | −0.0115233 | − | 0.0153933i | 0.794743 | − | 0.606947i | \(-0.207606\pi\) |
−0.806266 | + | 0.591553i | \(0.798515\pi\) | |||||||
\(858\) | −1.76661 | − | 0.964641i | −0.00205898 | − | 0.00112429i | ||||
\(859\) | 193.850 | − | 301.637i | 0.225670 | − | 0.351149i | −0.709893 | − | 0.704310i | \(-0.751257\pi\) |
0.935563 | + | 0.353161i | \(0.114893\pi\) | |||||||
\(860\) | −291.893 | + | 428.837i | −0.339411 | + | 0.498648i | ||||
\(861\) | −94.4010 | − | 27.7186i | −0.109641 | − | 0.0321935i | ||||
\(862\) | −589.409 | − | 42.1554i | −0.683770 | − | 0.0489042i | ||||
\(863\) | −12.5716 | + | 175.774i | −0.0145673 | + | 0.203677i | 0.984956 | + | 0.172805i | \(0.0552831\pi\) |
−0.999523 | + | 0.0308723i | \(0.990171\pi\) | |||||||
\(864\) | 14.7192 | − | 50.1289i | 0.0170361 | − | 0.0580196i | ||||
\(865\) | 670.177 | + | 456.165i | 0.774771 | + | 0.527358i | ||||
\(866\) | 576.285 | + | 370.356i | 0.665456 | + | 0.427663i | ||||
\(867\) | 174.288 | − | 319.186i | 0.201025 | − | 0.368149i | ||||
\(868\) | 592.249 | − | 443.352i | 0.682315 | − | 0.510775i | ||||
\(869\) | 159.037 | − | 72.6298i | 0.183012 | − | 0.0835786i | ||||
\(870\) | 17.5138 | + | 18.4650i | 0.0201308 | + | 0.0212241i | ||||
\(871\) | 5.07432 | − | 3.26107i | 0.00582586 | − | 0.00374405i | ||||
\(872\) | 6.27483 | + | 87.7336i | 0.00719591 | + | 0.100612i | ||||
\(873\) | 335.172 | + | 335.172i | 0.383932 | + | 0.383932i | ||||
\(874\) | −12.7473 | + | 30.0060i | −0.0145850 | + | 0.0343318i | ||||
\(875\) | −396.184 | + | 712.135i | −0.452782 | + | 0.813869i | ||||
\(876\) | 53.1947 | − | 61.3900i | 0.0607246 | − | 0.0700799i | ||||
\(877\) | −132.528 | + | 609.222i | −0.151115 | + | 0.694665i | 0.837775 | + | 0.546016i | \(0.183856\pi\) |
−0.988890 | + | 0.148649i | \(0.952507\pi\) | |||||||
\(878\) | 288.286 | − | 385.105i | 0.328344 | − | 0.438616i | ||||
\(879\) | −23.4088 | + | 10.6904i | −0.0266312 | + | 0.0121620i | ||||
\(880\) | 218.426 | − | 111.880i | 0.248211 | − | 0.127136i | ||||
\(881\) | 1253.84 | − | 368.161i | 1.42320 | − | 0.417890i | 0.522616 | − | 0.852568i | \(-0.324956\pi\) |
0.900586 | + | 0.434679i | \(0.143138\pi\) | |||||||
\(882\) | −78.3755 | + | 17.0495i | −0.0888611 | + | 0.0193305i | ||||
\(883\) | −354.273 | + | 132.137i | −0.401215 | + | 0.149645i | −0.541968 | − | 0.840399i | \(-0.682320\pi\) |
0.140753 | + | 0.990045i | \(0.455048\pi\) | |||||||
\(884\) | −3.94160 | + | 13.4239i | −0.00445883 | + | 0.0151854i | ||||
\(885\) | 69.3014 | + | 114.372i | 0.0783067 | + | 0.129234i | ||||
\(886\) | −85.2698 | − | 98.4066i | −0.0962413 | − | 0.111068i | ||||
\(887\) | −291.099 | + | 158.952i | −0.328184 | + | 0.179202i | −0.634890 | − | 0.772602i | \(-0.718955\pi\) |
0.306707 | + | 0.951804i | \(0.400773\pi\) | |||||||
\(888\) | 85.9713 | − | 32.0656i | 0.0968145 | − | 0.0361099i | ||||
\(889\) | 314.373 | − | 489.173i | 0.353625 | − | 0.550251i | ||||
\(890\) | −105.701 | − | 904.225i | −0.118765 | − | 1.01598i | ||||
\(891\) | −128.782 | + | 895.697i | −0.144536 | + | 1.00527i | ||||
\(892\) | −79.1986 | − | 29.5396i | −0.0887877 | − | 0.0331161i | ||||
\(893\) | 45.8112 | − | 61.1966i | 0.0513003 | − | 0.0685292i | ||||
\(894\) | 87.3113 | + | 135.859i | 0.0976636 | + | 0.151968i | ||||
\(895\) | −21.1565 | + | 215.566i | −0.0236386 | + | 0.240855i | ||||
\(896\) | 73.7583 | 0.0823196 | ||||||||
\(897\) | −0.865293 | + | 2.52357i | −0.000964652 | + | 0.00281334i | ||||
\(898\) | −403.107 | − | 403.107i | −0.448894 | − | 0.448894i | ||||
\(899\) | −296.254 | − | 256.705i | −0.329537 | − | 0.285546i | ||||
\(900\) | −100.659 | − | 424.664i | −0.111843 | − | 0.471849i | ||||
\(901\) | −332.791 | − | 2314.61i | −0.369357 | − | 2.56894i | ||||
\(902\) | 471.008 | + | 175.677i | 0.522182 | + | 0.194764i | ||||
\(903\) | −141.041 | + | 105.582i | −0.156192 | + | 0.116924i | ||||
\(904\) | 13.9463 | + | 47.4969i | 0.0154274 | + | 0.0525408i | ||||
\(905\) | 63.4325 | + | 1409.64i | 0.0700911 | + | 1.55761i | ||||
\(906\) | 29.6316 | − | 64.8841i | 0.0327059 | − | 0.0716160i | ||||
\(907\) | 229.770 | − | 125.464i | 0.253329 | − | 0.138328i | −0.347567 | − | 0.937655i | \(-0.612992\pi\) |
0.600897 | + | 0.799327i | \(0.294810\pi\) | |||||||
\(908\) | 33.5326 | − | 468.847i | 0.0369302 | − | 0.516352i | ||||
\(909\) | 866.852 | − | 751.131i | 0.953632 | − | 0.826327i | ||||
\(910\) | −9.22057 | − | 4.50910i | −0.0101325 | − | 0.00495505i | ||||
\(911\) | −97.4459 | + | 213.377i | −0.106966 | + | 0.234223i | −0.955545 | − | 0.294846i | \(-0.904732\pi\) |
0.848579 | + | 0.529069i | \(0.177459\pi\) | |||||||
\(912\) | −2.04085 | + | 0.443959i | −0.00223777 | + | 0.000486797i | ||||
\(913\) | 1617.36 | + | 883.147i | 1.77148 | + | 0.967303i | ||||
\(914\) | 212.623 | + | 30.5705i | 0.232629 | + | 0.0334470i | ||||
\(915\) | 224.629 | − | 59.5561i | 0.245496 | − | 0.0650886i | ||||
\(916\) | 34.1543 | + | 237.548i | 0.0372864 | + | 0.259332i | ||||
\(917\) | −23.2020 | + | 106.658i | −0.0253020 | + | 0.116312i | ||||
\(918\) | −409.314 | + | 29.2747i | −0.445876 | + | 0.0318897i | ||||
\(919\) | 590.775i | 0.642846i | 0.946936 | + | 0.321423i | \(0.104161\pi\) | ||||
−0.946936 | + | 0.321423i | \(0.895839\pi\) | |||||||
\(920\) | −194.991 | − | 260.343i | −0.211946 | − | 0.282982i | ||||
\(921\) | −35.3163 | −0.0383456 | ||||||||
\(922\) | −74.1113 | − | 1036.21i | −0.0803810 | − | 1.12387i | ||||
\(923\) | 2.04187 | + | 0.444182i | 0.00221221 | + | 0.000481238i | ||||
\(924\) | 82.5002 | − | 11.8617i | 0.0892859 | − | 0.0128374i | ||||
\(925\) | 997.509 | − | 1195.25i | 1.07839 | − | 1.29217i | ||||
\(926\) | −107.636 | + | 748.623i | −0.116237 | + | 0.808448i | ||||
\(927\) | 634.652 | − | 1162.28i | 0.684631 | − | 1.25381i | ||||
\(928\) | −8.30747 | − | 38.1888i | −0.00895202 | − | 0.0411518i | ||||
\(929\) | 150.811 | + | 68.8730i | 0.162337 | + | 0.0741367i | 0.494926 | − | 0.868935i | \(-0.335195\pi\) |
−0.332590 | + | 0.943072i | \(0.607922\pi\) | |||||||
\(930\) | −67.8404 | − | 197.693i | −0.0729467 | − | 0.212574i | ||||
\(931\) | 4.26484 | + | 4.92189i | 0.00458093 | + | 0.00528667i | ||||
\(932\) | −47.7371 | − | 3.41422i | −0.0512200 | − | 0.00366333i | ||||
\(933\) | −88.1267 | − | 161.392i | −0.0944552 | − | 0.172982i | ||||
\(934\) | −381.260 | − | 174.116i | −0.408201 | − | 0.186419i | ||||
\(935\) | −1422.90 | − | 1300.36i | −1.52182 | − | 1.39076i | ||||
\(936\) | 5.27424 | − | 1.54866i | 0.00563487 | − | 0.00165455i | ||||
\(937\) | 649.263 | + | 867.313i | 0.692916 | + | 0.925628i | 0.999658 | − | 0.0261650i | \(-0.00832953\pi\) |
−0.306741 | + | 0.951793i | \(0.599239\pi\) | |||||||
\(938\) | −87.2865 | + | 234.024i | −0.0930560 | + | 0.249493i | ||||
\(939\) | −84.1099 | + | 12.0932i | −0.0895739 | + | 0.0128788i | ||||
\(940\) | 298.388 | + | 701.900i | 0.317434 | + | 0.746702i | ||||
\(941\) | −793.266 | + | 915.478i | −0.843003 | + | 0.972878i | −0.999891 | − | 0.0147386i | \(-0.995308\pi\) |
0.156888 | + | 0.987616i | \(0.449854\pi\) | |||||||
\(942\) | 142.167 | − | 142.167i | 0.150921 | − | 0.150921i | ||||
\(943\) | 124.212 | − | 654.604i | 0.131720 | − | 0.694172i | ||||
\(944\) | − | 205.363i | − | 0.217545i | ||||||
\(945\) | 29.4056 | − | 299.617i | 0.0311171 | − | 0.317055i | ||||
\(946\) | 757.297 | − | 486.685i | 0.800526 | − | 0.514467i | ||||
\(947\) | 798.755 | + | 597.941i | 0.843459 | + | 0.631405i | 0.931107 | − | 0.364746i | \(-0.118844\pi\) |
−0.0876484 | + | 0.996151i | \(0.527935\pi\) | |||||||
\(948\) | 5.18797 | − | 13.9095i | 0.00547254 | − | 0.0146724i | ||||
\(949\) | 17.1821 | + | 2.47042i | 0.0181055 | + | 0.00260318i | ||||
\(950\) | −26.3463 | + | 23.6983i | −0.0277329 | + | 0.0249456i | ||||
\(951\) | −194.540 | − | 125.023i | −0.204563 | − | 0.131465i | ||||
\(952\) | −202.457 | − | 542.807i | −0.212665 | − | 0.570176i | ||||
\(953\) | 526.854 | + | 964.861i | 0.552837 | + | 1.01245i | 0.993398 | + | 0.114723i | \(0.0365980\pi\) |
−0.440560 | + | 0.897723i | \(0.645220\pi\) | |||||||
\(954\) | −694.355 | + | 601.662i | −0.727835 | + | 0.630673i | ||||
\(955\) | 294.397 | − | 1199.74i | 0.308269 | − | 1.25627i | ||||
\(956\) | −273.279 | − | 80.2421i | −0.285857 | − | 0.0839352i | ||||
\(957\) | −15.4336 | − | 41.3790i | −0.0161270 | − | 0.0432382i | ||||
\(958\) | 29.4291 | + | 135.283i | 0.0307193 | + | 0.141214i | ||||
\(959\) | 54.3991 | + | 185.266i | 0.0567248 | + | 0.193187i | ||||
\(960\) | 6.39710 | − | 19.8318i | 0.00666365 | − | 0.0206581i | ||||
\(961\) | 938.156 | + | 2054.28i | 0.976229 | + | 2.13764i | ||||
\(962\) | 15.6972 | + | 11.7508i | 0.0163172 | + | 0.0122149i | ||||
\(963\) | −846.840 | − | 184.219i | −0.879377 | − | 0.191297i | ||||
\(964\) | 336.927 | + | 291.949i | 0.349509 | + | 0.302852i | ||||
\(965\) | −63.0388 | + | 368.940i | −0.0653252 | + | 0.382321i | ||||
\(966\) | −33.9393 | − | 105.128i | −0.0351339 | − | 0.108828i | ||||
\(967\) | 531.507 | − | 531.507i | 0.549646 | − | 0.549646i | −0.376693 | − | 0.926338i | \(-0.622939\pi\) |
0.926338 | + | 0.376693i | \(0.122939\pi\) | |||||||
\(968\) | −83.4154 | + | 5.96599i | −0.0861730 | + | 0.00616321i | ||||
\(969\) | 8.86906 | + | 13.8005i | 0.00915280 | + | 0.0142420i | ||||
\(970\) | 264.253 | + | 278.605i | 0.272426 | + | 0.287222i | ||||
\(971\) | 233.312 | + | 510.881i | 0.240280 | + | 0.526139i | 0.990901 | − | 0.134594i | \(-0.0429729\pi\) |
−0.750621 | + | 0.660733i | \(0.770246\pi\) | |||||||
\(972\) | 145.672 | + | 194.595i | 0.149868 | + | 0.200201i | ||||
\(973\) | 26.5354 | + | 14.4894i | 0.0272717 | + | 0.0148915i | ||||
\(974\) | −485.750 | + | 755.841i | −0.498716 | + | 0.776018i | ||||
\(975\) | −2.01209 | + | 2.08811i | −0.00206368 | + | 0.00214165i | ||||
\(976\) | −342.415 | − | 100.542i | −0.350835 | − | 0.103014i | ||||
\(977\) | −738.176 | − | 52.7954i | −0.755554 | − | 0.0540383i | −0.311752 | − | 0.950163i | \(-0.600916\pi\) |
−0.443802 | + | 0.896125i | \(0.646371\pi\) | |||||||
\(978\) | −3.80798 | + | 53.2425i | −0.00389364 | + | 0.0544402i | ||||
\(979\) | −445.083 | + | 1515.81i | −0.454630 | + | 1.54833i | ||||
\(980\) | −63.8350 | + | 12.1291i | −0.0651377 | + | 0.0123766i | ||||
\(981\) | −228.350 | − | 146.752i | −0.232773 | − | 0.149594i | ||||
\(982\) | 292.013 | − | 534.782i | 0.297366 | − | 0.544585i | ||||
\(983\) | 976.692 | − | 731.143i | 0.993583 | − | 0.743787i | 0.0268674 | − | 0.999639i | \(-0.491447\pi\) |
0.966716 | + | 0.255852i | \(0.0823559\pi\) | |||||||
\(984\) | 38.8275 | − | 17.7319i | 0.0394588 | − | 0.0180202i | ||||
\(985\) | 8.00993 | − | 302.979i | 0.00813190 | − | 0.307593i | ||||
\(986\) | −258.239 | + | 165.960i | −0.261906 | + | 0.168316i | ||||
\(987\) | 18.4791 | + | 258.371i | 0.0187225 | + | 0.261774i | ||||
\(988\) | −0.315600 | − | 0.315600i | −0.000319433 | − | 0.000319433i | ||||
\(989\) | −805.107 | − | 880.544i | −0.814062 | − | 0.890338i | ||||
\(990\) | −127.556 | + | 746.529i | −0.128844 | + | 0.754069i | ||||
\(991\) | 605.050 | − | 698.265i | 0.610545 | − | 0.704606i | −0.363338 | − | 0.931657i | \(-0.618363\pi\) |
0.973883 | + | 0.227051i | \(0.0729084\pi\) | |||||||
\(992\) | −68.2263 | + | 313.631i | −0.0687765 | + | 0.316161i | ||||
\(993\) | 162.968 | − | 217.699i | 0.164117 | − | 0.219234i | ||||
\(994\) | −78.7097 | + | 35.9455i | −0.0791848 | + | 0.0361625i | ||||
\(995\) | −56.0768 | − | 109.480i | −0.0563586 | − | 0.110030i | ||||
\(996\) | 150.133 | − | 44.0829i | 0.150736 | − | 0.0442600i | ||||
\(997\) | 127.648 | − | 27.7680i | 0.128032 | − | 0.0278516i | −0.148093 | − | 0.988973i | \(-0.547313\pi\) |
0.276124 | + | 0.961122i | \(0.410950\pi\) | |||||||
\(998\) | 824.027 | − | 307.346i | 0.825678 | − | 0.307962i | ||||
\(999\) | −162.033 | + | 551.834i | −0.162195 | + | 0.552387i |
(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 | 230.3.k.b.223.5 | yes | 240 | |
5.2 | odd | 4 | inner | 230.3.k.b.177.5 | yes | 240 | |
23.13 | even | 11 | inner | 230.3.k.b.13.5 | ✓ | 240 | |
115.82 | odd | 44 | inner | 230.3.k.b.197.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.b.13.5 | ✓ | 240 | 23.13 | even | 11 | inner | |
230.3.k.b.177.5 | yes | 240 | 5.2 | odd | 4 | inner | |
230.3.k.b.197.5 | yes | 240 | 115.82 | odd | 44 | inner | |
230.3.k.b.223.5 | yes | 240 | 1.1 | even | 1 | trivial |