Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,3,Mod(119,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), 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: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.10 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.29 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.12813i | − | 1.06407i | −0.846724 | − | 0.532033i | \(-0.821428\pi\) | ||
0.846724 | − | 0.532033i | \(-0.178572\pi\) | |||||||
\(3\) | −2.98150 | + | 0.332673i | −0.993833 | + | 0.110891i | ||||
\(4\) | −0.528939 | −0.132235 | ||||||||
\(5\) | 5.15735i | 1.03147i | 0.856748 | + | 0.515735i | \(0.172481\pi\) | ||||
−0.856748 | + | 0.515735i | \(0.827519\pi\) | |||||||
\(6\) | 0.707972 | + | 6.34502i | 0.117995 | + | 1.05750i | ||||
\(7\) | 2.69104 | 0.384435 | 0.192217 | − | 0.981352i | \(-0.438432\pi\) | ||||
0.192217 | + | 0.981352i | \(0.438432\pi\) | |||||||
\(8\) | − | 7.38687i | − | 0.923359i | ||||||
\(9\) | 8.77866 | − | 1.98373i | 0.975406 | − | 0.220414i | ||||
\(10\) | 10.9755 | 1.09755 | ||||||||
\(11\) | − | 15.4011i | − | 1.40010i | −0.714092 | − | 0.700051i | \(-0.753160\pi\) | ||
0.714092 | − | 0.700051i | \(-0.246840\pi\) | |||||||
\(12\) | 1.57703 | − | 0.175964i | 0.131419 | − | 0.0146637i | ||||
\(13\) | 18.6528 | 1.43483 | 0.717414 | − | 0.696648i | \(-0.245326\pi\) | ||||
0.717414 | + | 0.696648i | \(0.245326\pi\) | |||||||
\(14\) | − | 5.72689i | − | 0.409064i | ||||||
\(15\) | −1.71571 | − | 15.3766i | −0.114381 | − | 1.02511i | ||||
\(16\) | −17.8360 | −1.11475 | ||||||||
\(17\) | 4.88346i | 0.287262i | 0.989631 | + | 0.143631i | \(0.0458779\pi\) | ||||
−0.989631 | + | 0.143631i | \(0.954122\pi\) | |||||||
\(18\) | −4.22163 | − | 18.6821i | −0.234535 | − | 1.03790i | ||||
\(19\) | 3.41065 | 0.179508 | 0.0897540 | − | 0.995964i | \(-0.471392\pi\) | ||||
0.0897540 | + | 0.995964i | \(0.471392\pi\) | |||||||
\(20\) | − | 2.72792i | − | 0.136396i | ||||||
\(21\) | −8.02334 | + | 0.895238i | −0.382064 | + | 0.0426304i | ||||
\(22\) | −32.7756 | −1.48980 | ||||||||
\(23\) | − | 15.9679i | − | 0.694257i | −0.937818 | − | 0.347129i | \(-0.887157\pi\) | ||
0.937818 | − | 0.347129i | \(-0.112843\pi\) | |||||||
\(24\) | 2.45741 | + | 22.0239i | 0.102392 | + | 0.917664i | ||||
\(25\) | −1.59821 | −0.0639285 | ||||||||
\(26\) | − | 39.6955i | − | 1.52675i | ||||||
\(27\) | −25.5136 | + | 8.83491i | −0.944949 | + | 0.327219i | ||||
\(28\) | −1.42340 | −0.0508357 | ||||||||
\(29\) | − | 24.8107i | − | 0.855541i | −0.903887 | − | 0.427770i | \(-0.859299\pi\) | ||
0.903887 | − | 0.427770i | \(-0.140701\pi\) | |||||||
\(30\) | −32.7234 | + | 3.65126i | −1.09078 | + | 0.121709i | ||||
\(31\) | 28.0319 | 0.904254 | 0.452127 | − | 0.891954i | \(-0.350665\pi\) | ||||
0.452127 | + | 0.891954i | \(0.350665\pi\) | |||||||
\(32\) | 8.40981i | 0.262807i | ||||||||
\(33\) | 5.12354 | + | 45.9184i | 0.155259 | + | 1.39147i | ||||
\(34\) | 10.3926 | 0.305666 | ||||||||
\(35\) | 13.8786i | 0.396533i | ||||||||
\(36\) | −4.64338 | + | 1.04927i | −0.128983 | + | 0.0291465i | ||||
\(37\) | 60.2239 | 1.62767 | 0.813837 | − | 0.581093i | \(-0.197375\pi\) | ||||
0.813837 | + | 0.581093i | \(0.197375\pi\) | |||||||
\(38\) | − | 7.25831i | − | 0.191008i | ||||||
\(39\) | −55.6131 | + | 6.20527i | −1.42598 | + | 0.159110i | ||||
\(40\) | 38.0966 | 0.952416 | ||||||||
\(41\) | 37.6168i | 0.917483i | 0.888570 | + | 0.458742i | \(0.151700\pi\) | ||||
−0.888570 | + | 0.458742i | \(0.848300\pi\) | |||||||
\(42\) | 1.90518 | + | 17.0747i | 0.0453615 | + | 0.406541i | ||||
\(43\) | −15.8209 | −0.367928 | −0.183964 | − | 0.982933i | \(-0.558893\pi\) | ||||
−0.183964 | + | 0.982933i | \(0.558893\pi\) | |||||||
\(44\) | 8.14626i | 0.185142i | ||||||||
\(45\) | 10.2308 | + | 45.2746i | 0.227351 | + | 1.00610i | ||||
\(46\) | −33.9818 | −0.738735 | ||||||||
\(47\) | − | 13.1463i | − | 0.279709i | −0.990172 | − | 0.139854i | \(-0.955337\pi\) | ||
0.990172 | − | 0.139854i | \(-0.0446634\pi\) | |||||||
\(48\) | 53.1779 | − | 5.93355i | 1.10787 | − | 0.123616i | ||||
\(49\) | −41.7583 | −0.852210 | ||||||||
\(50\) | 3.40120i | 0.0680241i | ||||||||
\(51\) | −1.62460 | − | 14.5600i | −0.0318548 | − | 0.285490i | ||||
\(52\) | −9.86617 | −0.189734 | ||||||||
\(53\) | 35.0364i | 0.661065i | 0.943795 | + | 0.330532i | \(0.107228\pi\) | ||||
−0.943795 | + | 0.330532i | \(0.892772\pi\) | |||||||
\(54\) | 18.8018 | + | 54.2963i | 0.348182 | + | 1.00549i | ||||
\(55\) | 79.4290 | 1.44416 | ||||||||
\(56\) | − | 19.8784i | − | 0.354971i | ||||||
\(57\) | −10.1688 | + | 1.13463i | −0.178401 | + | 0.0199058i | ||||
\(58\) | −52.8004 | −0.910351 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | 0.907507 | + | 8.13330i | 0.0151251 | + | 0.135555i | ||||
\(61\) | −83.7144 | −1.37237 | −0.686183 | − | 0.727429i | \(-0.740715\pi\) | ||||
−0.686183 | + | 0.727429i | \(0.740715\pi\) | |||||||
\(62\) | − | 59.6555i | − | 0.962185i | ||||||
\(63\) | 23.6238 | − | 5.33830i | 0.374980 | − | 0.0847350i | ||||
\(64\) | −53.4467 | −0.835105 | ||||||||
\(65\) | 96.1987i | 1.47998i | ||||||||
\(66\) | 97.7204 | − | 10.9036i | 1.48061 | − | 0.165206i | ||||
\(67\) | 72.8285 | 1.08699 | 0.543497 | − | 0.839411i | \(-0.317100\pi\) | ||||
0.543497 | + | 0.839411i | \(0.317100\pi\) | |||||||
\(68\) | − | 2.58305i | − | 0.0379861i | ||||||
\(69\) | 5.31210 | + | 47.6083i | 0.0769869 | + | 0.689975i | ||||
\(70\) | 29.5356 | 0.421937 | ||||||||
\(71\) | 27.7175i | 0.390387i | 0.980765 | + | 0.195193i | \(0.0625334\pi\) | ||||
−0.980765 | + | 0.195193i | \(0.937467\pi\) | |||||||
\(72\) | −14.6535 | − | 64.8468i | −0.203522 | − | 0.900650i | ||||
\(73\) | 54.4224 | 0.745513 | 0.372756 | − | 0.927929i | \(-0.378413\pi\) | ||||
0.372756 | + | 0.927929i | \(0.378413\pi\) | |||||||
\(74\) | − | 128.164i | − | 1.73195i | ||||||
\(75\) | 4.76507 | − | 0.531683i | 0.0635342 | − | 0.00708910i | ||||
\(76\) | −1.80403 | −0.0237372 | ||||||||
\(77\) | − | 41.4451i | − | 0.538248i | ||||||
\(78\) | 13.2056 | + | 118.352i | 0.169303 | + | 1.51733i | ||||
\(79\) | −123.594 | −1.56448 | −0.782242 | − | 0.622975i | \(-0.785924\pi\) | ||||
−0.782242 | + | 0.622975i | \(0.785924\pi\) | |||||||
\(80\) | − | 91.9863i | − | 1.14983i | ||||||
\(81\) | 73.1296 | − | 34.8290i | 0.902835 | − | 0.429987i | ||||
\(82\) | 80.0535 | 0.976262 | ||||||||
\(83\) | 143.471i | 1.72857i | 0.503003 | + | 0.864285i | \(0.332228\pi\) | ||||
−0.503003 | + | 0.864285i | \(0.667772\pi\) | |||||||
\(84\) | 4.24386 | − | 0.473527i | 0.0505222 | − | 0.00563722i | ||||
\(85\) | −25.1857 | −0.296302 | ||||||||
\(86\) | 33.6690i | 0.391500i | ||||||||
\(87\) | 8.25385 | + | 73.9730i | 0.0948718 | + | 0.850264i | ||||
\(88\) | −113.766 | −1.29280 | ||||||||
\(89\) | − | 21.8428i | − | 0.245425i | −0.992442 | − | 0.122713i | \(-0.960841\pi\) | ||
0.992442 | − | 0.122713i | \(-0.0391593\pi\) | |||||||
\(90\) | 96.3502 | − | 21.7724i | 1.07056 | − | 0.241916i | ||||
\(91\) | 50.1954 | 0.551598 | ||||||||
\(92\) | 8.44606i | 0.0918050i | ||||||||
\(93\) | −83.5770 | + | 9.32545i | −0.898677 | + | 0.100274i | ||||
\(94\) | −27.9771 | −0.297628 | ||||||||
\(95\) | 17.5899i | 0.185157i | ||||||||
\(96\) | −2.79772 | − | 25.0738i | −0.0291429 | − | 0.261186i | ||||
\(97\) | −98.9417 | −1.02002 | −0.510009 | − | 0.860169i | \(-0.670358\pi\) | ||||
−0.510009 | + | 0.860169i | \(0.670358\pi\) | |||||||
\(98\) | 88.8671i | 0.906807i | ||||||||
\(99\) | −30.5517 | − | 135.201i | −0.308603 | − | 1.36567i | ||||
\(100\) | 0.845357 | 0.00845357 | ||||||||
\(101\) | 11.1986i | 0.110877i | 0.998462 | + | 0.0554386i | \(0.0176557\pi\) | ||||
−0.998462 | + | 0.0554386i | \(0.982344\pi\) | |||||||
\(102\) | −30.9856 | + | 3.45735i | −0.303780 | + | 0.0338956i | ||||
\(103\) | −103.065 | −1.00064 | −0.500318 | − | 0.865842i | \(-0.666783\pi\) | ||||
−0.500318 | + | 0.865842i | \(0.666783\pi\) | |||||||
\(104\) | − | 137.785i | − | 1.32486i | ||||||
\(105\) | −4.61705 | − | 41.3791i | −0.0439719 | − | 0.394087i | ||||
\(106\) | 74.5621 | 0.703416 | ||||||||
\(107\) | − | 159.235i | − | 1.48818i | −0.668081 | − | 0.744089i | \(-0.732884\pi\) | ||
0.668081 | − | 0.744089i | \(-0.267116\pi\) | |||||||
\(108\) | 13.4952 | − | 4.67313i | 0.124955 | − | 0.0432697i | ||||
\(109\) | −106.870 | −0.980461 | −0.490230 | − | 0.871593i | \(-0.663087\pi\) | ||||
−0.490230 | + | 0.871593i | \(0.663087\pi\) | |||||||
\(110\) | − | 169.035i | − | 1.53668i | ||||||
\(111\) | −179.558 | + | 20.0349i | −1.61764 | + | 0.180495i | ||||
\(112\) | −47.9974 | −0.428548 | ||||||||
\(113\) | 163.994i | 1.45127i | 0.688079 | + | 0.725636i | \(0.258454\pi\) | ||||
−0.688079 | + | 0.725636i | \(0.741546\pi\) | |||||||
\(114\) | 2.41465 | + | 21.6406i | 0.0211811 | + | 0.189830i | ||||
\(115\) | 82.3520 | 0.716105 | ||||||||
\(116\) | 13.1233i | 0.113132i | ||||||||
\(117\) | 163.746 | − | 37.0020i | 1.39954 | − | 0.316256i | ||||
\(118\) | 16.3465 | 0.138529 | ||||||||
\(119\) | 13.1416i | 0.110434i | ||||||||
\(120\) | −113.585 | + | 12.6737i | −0.946542 | + | 0.105614i | ||||
\(121\) | −116.195 | −0.960288 | ||||||||
\(122\) | 178.155i | 1.46029i | ||||||||
\(123\) | −12.5141 | − | 112.154i | −0.101741 | − | 0.911825i | ||||
\(124\) | −14.8272 | −0.119574 | ||||||||
\(125\) | 120.691i | 0.965529i | ||||||||
\(126\) | −11.3606 | − | 50.2744i | −0.0901635 | − | 0.399003i | ||||
\(127\) | 150.567 | 1.18556 | 0.592782 | − | 0.805363i | \(-0.298029\pi\) | ||||
0.592782 | + | 0.805363i | \(0.298029\pi\) | |||||||
\(128\) | 147.381i | 1.15141i | ||||||||
\(129\) | 47.1700 | − | 5.26319i | 0.365659 | − | 0.0407999i | ||||
\(130\) | 204.723 | 1.57480 | ||||||||
\(131\) | − | 245.946i | − | 1.87745i | −0.344669 | − | 0.938724i | \(-0.612009\pi\) | ||
0.344669 | − | 0.938724i | \(-0.387991\pi\) | |||||||
\(132\) | −2.71004 | − | 24.2881i | −0.0205306 | − | 0.184001i | ||||
\(133\) | 9.17821 | 0.0690091 | ||||||||
\(134\) | − | 154.989i | − | 1.15663i | ||||||
\(135\) | −45.5647 | − | 131.583i | −0.337516 | − | 0.974685i | ||||
\(136\) | 36.0735 | 0.265246 | ||||||||
\(137\) | 196.040i | 1.43095i | 0.698640 | + | 0.715474i | \(0.253789\pi\) | ||||
−0.698640 | + | 0.715474i | \(0.746211\pi\) | |||||||
\(138\) | 101.317 | − | 11.3048i | 0.734179 | − | 0.0819191i | ||||
\(139\) | 81.6219 | 0.587208 | 0.293604 | − | 0.955927i | \(-0.405145\pi\) | ||||
0.293604 | + | 0.955927i | \(0.405145\pi\) | |||||||
\(140\) | − | 7.34096i | − | 0.0524354i | ||||||
\(141\) | 4.37343 | + | 39.1957i | 0.0310172 | + | 0.277984i | ||||
\(142\) | 58.9864 | 0.415397 | ||||||||
\(143\) | − | 287.273i | − | 2.00891i | ||||||
\(144\) | −156.576 | + | 35.3818i | −1.08733 | + | 0.245707i | ||||
\(145\) | 127.957 | 0.882464 | ||||||||
\(146\) | − | 115.818i | − | 0.793274i | ||||||
\(147\) | 124.502 | − | 13.8919i | 0.846954 | − | 0.0945025i | ||||
\(148\) | −31.8548 | −0.215235 | ||||||||
\(149\) | − | 244.737i | − | 1.64253i | −0.570545 | − | 0.821266i | \(-0.693268\pi\) | ||
0.570545 | − | 0.821266i | \(-0.306732\pi\) | |||||||
\(150\) | −1.13149 | − | 10.1407i | −0.00754327 | − | 0.0676046i | ||||
\(151\) | −140.296 | −0.929114 | −0.464557 | − | 0.885543i | \(-0.653786\pi\) | ||||
−0.464557 | + | 0.885543i | \(0.653786\pi\) | |||||||
\(152\) | − | 25.1940i | − | 0.165750i | ||||||
\(153\) | 9.68745 | + | 42.8702i | 0.0633167 | + | 0.280197i | ||||
\(154\) | −88.2006 | −0.572731 | ||||||||
\(155\) | 144.570i | 0.932710i | ||||||||
\(156\) | 29.4160 | − | 3.28221i | 0.188564 | − | 0.0210398i | ||||
\(157\) | 101.021 | 0.643443 | 0.321721 | − | 0.946834i | \(-0.395739\pi\) | ||||
0.321721 | + | 0.946834i | \(0.395739\pi\) | |||||||
\(158\) | 263.025i | 1.66471i | ||||||||
\(159\) | −11.6557 | − | 104.461i | −0.0733062 | − | 0.656988i | ||||
\(160\) | −43.3723 | −0.271077 | ||||||||
\(161\) | − | 42.9704i | − | 0.266897i | ||||||
\(162\) | −74.1206 | − | 155.629i | −0.457534 | − | 0.960675i | ||||
\(163\) | 36.6971 | 0.225135 | 0.112568 | − | 0.993644i | \(-0.464092\pi\) | ||||
0.112568 | + | 0.993644i | \(0.464092\pi\) | |||||||
\(164\) | − | 19.8970i | − | 0.121323i | ||||||
\(165\) | −236.817 | + | 26.4239i | −1.43526 | + | 0.160145i | ||||
\(166\) | 305.326 | 1.83931 | ||||||||
\(167\) | 91.5908i | 0.548448i | 0.961666 | + | 0.274224i | \(0.0884210\pi\) | ||||
−0.961666 | + | 0.274224i | \(0.911579\pi\) | |||||||
\(168\) | 6.61301 | + | 59.2674i | 0.0393631 | + | 0.352782i | ||||
\(169\) | 178.925 | 1.05873 | ||||||||
\(170\) | 53.5984i | 0.315285i | ||||||||
\(171\) | 29.9409 | − | 6.76581i | 0.175093 | − | 0.0395661i | ||||
\(172\) | 8.36830 | 0.0486529 | ||||||||
\(173\) | 32.3306i | 0.186882i | 0.995625 | + | 0.0934411i | \(0.0297867\pi\) | ||||
−0.995625 | + | 0.0934411i | \(0.970213\pi\) | |||||||
\(174\) | 157.424 | − | 17.5653i | 0.904736 | − | 0.100950i | ||||
\(175\) | −4.30086 | −0.0245763 | ||||||||
\(176\) | 274.694i | 1.56076i | ||||||||
\(177\) | −2.55531 | − | 22.9013i | −0.0144368 | − | 0.129386i | ||||
\(178\) | −46.4844 | −0.261148 | ||||||||
\(179\) | 265.603i | 1.48382i | 0.670502 | + | 0.741908i | \(0.266079\pi\) | ||||
−0.670502 | + | 0.741908i | \(0.733921\pi\) | |||||||
\(180\) | −5.41146 | − | 23.9475i | −0.0300637 | − | 0.133042i | ||||
\(181\) | −208.834 | −1.15378 | −0.576888 | − | 0.816823i | \(-0.695733\pi\) | ||||
−0.576888 | + | 0.816823i | \(0.695733\pi\) | |||||||
\(182\) | − | 106.822i | − | 0.586936i | ||||||
\(183\) | 249.594 | − | 27.8495i | 1.36390 | − | 0.152183i | ||||
\(184\) | −117.953 | −0.641048 | ||||||||
\(185\) | 310.596i | 1.67890i | ||||||||
\(186\) | 19.8458 | + | 177.863i | 0.106698 | + | 0.956251i | ||||
\(187\) | 75.2108 | 0.402197 | ||||||||
\(188\) | 6.95360i | 0.0369872i | ||||||||
\(189\) | −68.6583 | + | 23.7751i | −0.363271 | + | 0.125794i | ||||
\(190\) | 37.4336 | 0.197019 | ||||||||
\(191\) | − | 35.2665i | − | 0.184641i | −0.995729 | − | 0.0923207i | \(-0.970572\pi\) | ||
0.995729 | − | 0.0923207i | \(-0.0294285\pi\) | |||||||
\(192\) | 159.351 | − | 17.7803i | 0.829955 | − | 0.0926057i | ||||
\(193\) | 24.8793 | 0.128908 | 0.0644541 | − | 0.997921i | \(-0.479469\pi\) | ||||
0.0644541 | + | 0.997921i | \(0.479469\pi\) | |||||||
\(194\) | 210.561i | 1.08536i | ||||||||
\(195\) | −32.0027 | − | 286.816i | −0.164117 | − | 1.47085i | ||||
\(196\) | 22.0876 | 0.112692 | ||||||||
\(197\) | 26.9086i | 0.136592i | 0.997665 | + | 0.0682959i | \(0.0217562\pi\) | ||||
−0.997665 | + | 0.0682959i | \(0.978244\pi\) | |||||||
\(198\) | −287.726 | + | 65.0179i | −1.45316 | + | 0.328373i | ||||
\(199\) | −142.574 | −0.716453 | −0.358226 | − | 0.933635i | \(-0.616618\pi\) | ||||
−0.358226 | + | 0.933635i | \(0.616618\pi\) | |||||||
\(200\) | 11.8058i | 0.0590289i | ||||||||
\(201\) | −217.138 | + | 24.2281i | −1.08029 | + | 0.120538i | ||||
\(202\) | 23.8321 | 0.117981 | ||||||||
\(203\) | − | 66.7666i | − | 0.328900i | ||||||
\(204\) | 0.859312 | + | 7.70136i | 0.00421232 | + | 0.0377518i | ||||
\(205\) | −194.003 | −0.946356 | ||||||||
\(206\) | 219.337i | 1.06474i | ||||||||
\(207\) | −31.6760 | − | 140.177i | −0.153024 | − | 0.677183i | ||||
\(208\) | −332.690 | −1.59947 | ||||||||
\(209\) | − | 52.5279i | − | 0.251330i | ||||||
\(210\) | −88.0602 | + | 9.82569i | −0.419334 | + | 0.0467890i | ||||
\(211\) | 279.331 | 1.32384 | 0.661921 | − | 0.749574i | \(-0.269742\pi\) | ||||
0.661921 | + | 0.749574i | \(0.269742\pi\) | |||||||
\(212\) | − | 18.5322i | − | 0.0874158i | ||||||
\(213\) | −9.22085 | − | 82.6395i | −0.0432904 | − | 0.387979i | ||||
\(214\) | −338.873 | −1.58352 | ||||||||
\(215\) | − | 81.5939i | − | 0.379506i | ||||||
\(216\) | 65.2623 | + | 188.466i | 0.302140 | + | 0.872527i | ||||
\(217\) | 75.4350 | 0.347627 | ||||||||
\(218\) | 227.434i | 1.04327i | ||||||||
\(219\) | −162.260 | + | 18.1049i | −0.740915 | + | 0.0826707i | ||||
\(220\) | −42.0131 | −0.190969 | ||||||||
\(221\) | 91.0899i | 0.412172i | ||||||||
\(222\) | 42.6369 | + | 382.122i | 0.192058 | + | 1.72127i | ||||
\(223\) | −189.218 | −0.848512 | −0.424256 | − | 0.905542i | \(-0.639464\pi\) | ||||
−0.424256 | + | 0.905542i | \(0.639464\pi\) | |||||||
\(224\) | 22.6312i | 0.101032i | ||||||||
\(225\) | −14.0302 | + | 3.17042i | −0.0623563 | + | 0.0140908i | ||||
\(226\) | 349.000 | 1.54425 | ||||||||
\(227\) | − | 388.040i | − | 1.70943i | −0.519101 | − | 0.854713i | \(-0.673733\pi\) | ||
0.519101 | − | 0.854713i | \(-0.326267\pi\) | |||||||
\(228\) | 5.37870 | − | 0.600152i | 0.0235908 | − | 0.00263224i | ||||
\(229\) | 377.427 | 1.64815 | 0.824076 | − | 0.566479i | \(-0.191695\pi\) | ||||
0.824076 | + | 0.566479i | \(0.191695\pi\) | |||||||
\(230\) | − | 175.256i | − | 0.761982i | ||||||
\(231\) | 13.7877 | + | 123.569i | 0.0596869 | + | 0.534929i | ||||
\(232\) | −183.273 | −0.789971 | ||||||||
\(233\) | 369.450i | 1.58562i | 0.609468 | + | 0.792811i | \(0.291383\pi\) | ||||
−0.609468 | + | 0.792811i | \(0.708617\pi\) | |||||||
\(234\) | −78.7451 | − | 348.473i | −0.336518 | − | 1.48920i | ||||
\(235\) | 67.8001 | 0.288511 | ||||||||
\(236\) | − | 4.06286i | − | 0.0172155i | ||||||
\(237\) | 368.496 | − | 41.1165i | 1.55484 | − | 0.173487i | ||||
\(238\) | 27.9670 | 0.117509 | ||||||||
\(239\) | 456.633i | 1.91060i | 0.295640 | + | 0.955299i | \(0.404467\pi\) | ||||
−0.295640 | + | 0.955299i | \(0.595533\pi\) | |||||||
\(240\) | 30.6014 | + | 274.257i | 0.127506 | + | 1.14274i | ||||
\(241\) | −221.449 | −0.918876 | −0.459438 | − | 0.888210i | \(-0.651949\pi\) | ||||
−0.459438 | + | 0.888210i | \(0.651949\pi\) | |||||||
\(242\) | 247.278i | 1.02181i | ||||||||
\(243\) | −206.449 | + | 128.171i | −0.849585 | + | 0.527452i | ||||
\(244\) | 44.2798 | 0.181475 | ||||||||
\(245\) | − | 215.362i | − | 0.879028i | ||||||
\(246\) | −238.679 | + | 26.6317i | −0.970241 | + | 0.108259i | ||||
\(247\) | 63.6180 | 0.257563 | ||||||||
\(248\) | − | 207.068i | − | 0.834951i | ||||||
\(249\) | −47.7290 | − | 427.759i | −0.191683 | − | 1.71791i | ||||
\(250\) | 256.846 | 1.02739 | ||||||||
\(251\) | − | 245.569i | − | 0.978362i | −0.872182 | − | 0.489181i | \(-0.837296\pi\) | ||
0.872182 | − | 0.489181i | \(-0.162704\pi\) | |||||||
\(252\) | −12.4955 | + | 2.82364i | −0.0495854 | + | 0.0112049i | ||||
\(253\) | −245.924 | −0.972031 | ||||||||
\(254\) | − | 320.426i | − | 1.26152i | ||||||
\(255\) | 75.0910 | − | 8.37860i | 0.294475 | − | 0.0328573i | ||||
\(256\) | 99.8588 | 0.390073 | ||||||||
\(257\) | 47.6112i | 0.185258i | 0.995701 | + | 0.0926288i | \(0.0295270\pi\) | ||||
−0.995701 | + | 0.0926288i | \(0.970473\pi\) | |||||||
\(258\) | −11.2008 | − | 100.384i | −0.0434138 | − | 0.389085i | ||||
\(259\) | 162.065 | 0.625735 | ||||||||
\(260\) | − | 50.8833i | − | 0.195705i | ||||||
\(261\) | −49.2177 | − | 217.804i | −0.188573 | − | 0.834500i | ||||
\(262\) | −523.405 | −1.99773 | ||||||||
\(263\) | 24.3897i | 0.0927366i | 0.998924 | + | 0.0463683i | \(0.0147648\pi\) | ||||
−0.998924 | + | 0.0463683i | \(0.985235\pi\) | |||||||
\(264\) | 339.194 | − | 37.8470i | 1.28482 | − | 0.143360i | ||||
\(265\) | −180.695 | −0.681868 | ||||||||
\(266\) | − | 19.5324i | − | 0.0734302i | ||||||
\(267\) | 7.26653 | + | 65.1244i | 0.0272155 | + | 0.243911i | ||||
\(268\) | −38.5219 | −0.143738 | ||||||||
\(269\) | 77.7143i | 0.288901i | 0.989512 | + | 0.144450i | \(0.0461414\pi\) | ||||
−0.989512 | + | 0.144450i | \(0.953859\pi\) | |||||||
\(270\) | −280.025 | + | 96.9676i | −1.03713 | + | 0.359139i | ||||
\(271\) | 400.159 | 1.47660 | 0.738302 | − | 0.674471i | \(-0.235628\pi\) | ||||
0.738302 | + | 0.674471i | \(0.235628\pi\) | |||||||
\(272\) | − | 87.1012i | − | 0.320225i | ||||||
\(273\) | −149.657 | + | 16.6987i | −0.548196 | + | 0.0611672i | ||||
\(274\) | 417.198 | 1.52262 | ||||||||
\(275\) | 24.6143i | 0.0895065i | ||||||||
\(276\) | −2.80978 | − | 25.1819i | −0.0101804 | − | 0.0912388i | ||||
\(277\) | 397.402 | 1.43466 | 0.717332 | − | 0.696731i | \(-0.245363\pi\) | ||||
0.717332 | + | 0.696731i | \(0.245363\pi\) | |||||||
\(278\) | − | 173.702i | − | 0.624827i | ||||||
\(279\) | 246.082 | − | 55.6076i | 0.882015 | − | 0.199311i | ||||
\(280\) | 102.520 | 0.366142 | ||||||||
\(281\) | 83.6606i | 0.297725i | 0.988858 | + | 0.148862i | \(0.0475611\pi\) | ||||
−0.988858 | + | 0.148862i | \(0.952439\pi\) | |||||||
\(282\) | 83.4136 | − | 9.30722i | 0.295793 | − | 0.0330043i | ||||
\(283\) | −105.287 | −0.372039 | −0.186020 | − | 0.982546i | \(-0.559559\pi\) | ||||
−0.186020 | + | 0.982546i | \(0.559559\pi\) | |||||||
\(284\) | − | 14.6609i | − | 0.0516227i | ||||||
\(285\) | −5.85169 | − | 52.4443i | −0.0205323 | − | 0.184015i | ||||
\(286\) | −611.355 | −2.13761 | ||||||||
\(287\) | 101.229i | 0.352713i | ||||||||
\(288\) | 16.6828 | + | 73.8269i | 0.0579264 | + | 0.256343i | ||||
\(289\) | 265.152 | 0.917480 | ||||||||
\(290\) | − | 272.310i | − | 0.938999i | ||||||
\(291\) | 294.994 | − | 32.9152i | 1.01373 | − | 0.113111i | ||||
\(292\) | −28.7862 | −0.0985828 | ||||||||
\(293\) | 53.8078i | 0.183644i | 0.995775 | + | 0.0918221i | \(0.0292691\pi\) | ||||
−0.995775 | + | 0.0918221i | \(0.970731\pi\) | |||||||
\(294\) | −29.5637 | − | 264.957i | −0.100557 | − | 0.901214i | ||||
\(295\) | −39.6143 | −0.134286 | ||||||||
\(296\) | − | 444.866i | − | 1.50293i | ||||||
\(297\) | 136.068 | + | 392.938i | 0.458140 | + | 1.32303i | ||||
\(298\) | −520.833 | −1.74776 | ||||||||
\(299\) | − | 297.846i | − | 0.996139i | ||||||
\(300\) | −2.52043 | + | 0.281228i | −0.00840144 | + | 0.000937426i | ||||
\(301\) | −42.5748 | −0.141444 | ||||||||
\(302\) | 298.569i | 0.988638i | ||||||||
\(303\) | −3.72547 | − | 33.3886i | −0.0122953 | − | 0.110193i | ||||
\(304\) | −60.8323 | −0.200106 | ||||||||
\(305\) | − | 431.744i | − | 1.41555i | ||||||
\(306\) | 91.2334 | − | 20.6162i | 0.298148 | − | 0.0673731i | ||||
\(307\) | 203.837 | 0.663963 | 0.331982 | − | 0.943286i | \(-0.392283\pi\) | ||||
0.331982 | + | 0.943286i | \(0.392283\pi\) | |||||||
\(308\) | 21.9220i | 0.0711752i | ||||||||
\(309\) | 307.289 | − | 34.2871i | 0.994464 | − | 0.110962i | ||||
\(310\) | 307.664 | 0.992464 | ||||||||
\(311\) | 503.727i | 1.61970i | 0.586636 | + | 0.809851i | \(0.300452\pi\) | ||||
−0.586636 | + | 0.809851i | \(0.699548\pi\) | |||||||
\(312\) | 45.8375 | + | 410.807i | 0.146915 | + | 1.31669i | ||||
\(313\) | 212.727 | 0.679638 | 0.339819 | − | 0.940491i | \(-0.389634\pi\) | ||||
0.339819 | + | 0.940491i | \(0.389634\pi\) | |||||||
\(314\) | − | 214.985i | − | 0.684665i | ||||||
\(315\) | 27.5315 | + | 121.836i | 0.0874015 | + | 0.386780i | ||||
\(316\) | 65.3739 | 0.206879 | ||||||||
\(317\) | − | 460.556i | − | 1.45286i | −0.687242 | − | 0.726428i | \(-0.741179\pi\) | ||
0.687242 | − | 0.726428i | \(-0.258821\pi\) | |||||||
\(318\) | −222.307 | + | 24.8048i | −0.699078 | + | 0.0780026i | ||||
\(319\) | −382.112 | −1.19784 | ||||||||
\(320\) | − | 275.643i | − | 0.861385i | ||||||
\(321\) | 52.9732 | + | 474.759i | 0.165026 | + | 1.47900i | ||||
\(322\) | −91.4465 | −0.283995 | ||||||||
\(323\) | 16.6558i | 0.0515658i | ||||||||
\(324\) | −38.6811 | + | 18.4224i | −0.119386 | + | 0.0568593i | ||||
\(325\) | −29.8111 | −0.0917263 | ||||||||
\(326\) | − | 78.0961i | − | 0.239559i | ||||||
\(327\) | 318.633 | − | 35.5529i | 0.974414 | − | 0.108724i | ||||
\(328\) | 277.871 | 0.847166 | ||||||||
\(329\) | − | 35.3773i | − | 0.107530i | ||||||
\(330\) | 56.2335 | + | 503.978i | 0.170404 | + | 1.52721i | ||||
\(331\) | −414.786 | −1.25313 | −0.626565 | − | 0.779369i | \(-0.715540\pi\) | ||||
−0.626565 | + | 0.779369i | \(0.715540\pi\) | |||||||
\(332\) | − | 75.8876i | − | 0.228577i | ||||||
\(333\) | 528.685 | − | 119.468i | 1.58764 | − | 0.358763i | ||||
\(334\) | 194.917 | 0.583585 | ||||||||
\(335\) | 375.602i | 1.12120i | ||||||||
\(336\) | 143.104 | − | 15.9675i | 0.425905 | − | 0.0475222i | ||||
\(337\) | −343.388 | −1.01896 | −0.509478 | − | 0.860484i | \(-0.670161\pi\) | ||||
−0.509478 | + | 0.860484i | \(0.670161\pi\) | |||||||
\(338\) | − | 380.776i | − | 1.12656i | ||||||
\(339\) | −54.5563 | − | 488.947i | −0.160933 | − | 1.44232i | ||||
\(340\) | 13.3217 | 0.0391814 | ||||||||
\(341\) | − | 431.723i | − | 1.26605i | ||||||
\(342\) | −14.3985 | − | 63.7182i | −0.0421009 | − | 0.186311i | ||||
\(343\) | −244.235 | −0.712054 | ||||||||
\(344\) | 116.867i | 0.339730i | ||||||||
\(345\) | −245.532 | + | 27.3963i | −0.711688 | + | 0.0794096i | ||||
\(346\) | 68.8038 | 0.198855 | ||||||||
\(347\) | 6.99097i | 0.0201469i | 0.999949 | + | 0.0100734i | \(0.00320653\pi\) | ||||
−0.999949 | + | 0.0100734i | \(0.996793\pi\) | |||||||
\(348\) | −4.36579 | − | 39.1272i | −0.0125454 | − | 0.112435i | ||||
\(349\) | −445.031 | −1.27516 | −0.637580 | − | 0.770384i | \(-0.720065\pi\) | ||||
−0.637580 | + | 0.770384i | \(0.720065\pi\) | |||||||
\(350\) | 9.15279i | 0.0261508i | ||||||||
\(351\) | −475.899 | + | 164.795i | −1.35584 | + | 0.469502i | ||||
\(352\) | 129.521 | 0.367956 | ||||||||
\(353\) | 247.520i | 0.701190i | 0.936527 | + | 0.350595i | \(0.114021\pi\) | ||||
−0.936527 | + | 0.350595i | \(0.885979\pi\) | |||||||
\(354\) | −48.7370 | + | 5.43804i | −0.137675 | + | 0.0153617i | ||||
\(355\) | −142.948 | −0.402672 | ||||||||
\(356\) | 11.5535i | 0.0324537i | ||||||||
\(357\) | −4.37186 | − | 39.1816i | −0.0122461 | − | 0.109752i | ||||
\(358\) | 565.238 | 1.57888 | ||||||||
\(359\) | − | 336.875i | − | 0.938370i | −0.883100 | − | 0.469185i | \(-0.844548\pi\) | ||
0.883100 | − | 0.469185i | \(-0.155452\pi\) | |||||||
\(360\) | 334.437 | − | 75.5734i | 0.928993 | − | 0.209926i | ||||
\(361\) | −349.367 | −0.967777 | ||||||||
\(362\) | 444.425i | 1.22769i | ||||||||
\(363\) | 346.435 | − | 38.6549i | 0.954365 | − | 0.106487i | ||||
\(364\) | −26.5503 | −0.0729404 | ||||||||
\(365\) | 280.675i | 0.768973i | ||||||||
\(366\) | −59.2674 | − | 531.169i | −0.161933 | − | 1.45128i | ||||
\(367\) | −407.857 | −1.11133 | −0.555663 | − | 0.831407i | \(-0.687536\pi\) | ||||
−0.555663 | + | 0.831407i | \(0.687536\pi\) | |||||||
\(368\) | 284.803i | 0.773922i | ||||||||
\(369\) | 74.6216 | + | 330.225i | 0.202227 | + | 0.894919i | ||||
\(370\) | 660.988 | 1.78645 | ||||||||
\(371\) | 94.2846i | 0.254136i | ||||||||
\(372\) | 44.2071 | − | 4.93260i | 0.118836 | − | 0.0132597i | ||||
\(373\) | −86.5149 | −0.231943 | −0.115972 | − | 0.993253i | \(-0.536998\pi\) | ||||
−0.115972 | + | 0.993253i | \(0.536998\pi\) | |||||||
\(374\) | − | 160.058i | − | 0.427963i | ||||||
\(375\) | −40.1507 | − | 359.840i | −0.107069 | − | 0.959574i | ||||
\(376\) | −97.1101 | −0.258272 | ||||||||
\(377\) | − | 462.787i | − | 1.22755i | ||||||
\(378\) | 50.5966 | + | 146.114i | 0.133853 | + | 0.386544i | ||||
\(379\) | −444.400 | −1.17256 | −0.586279 | − | 0.810109i | \(-0.699408\pi\) | ||||
−0.586279 | + | 0.810109i | \(0.699408\pi\) | |||||||
\(380\) | − | 9.30399i | − | 0.0244842i | ||||||
\(381\) | −448.914 | + | 50.0895i | −1.17825 | + | 0.131469i | ||||
\(382\) | −75.0517 | −0.196470 | ||||||||
\(383\) | 11.2111i | 0.0292719i | 0.999893 | + | 0.0146359i | \(0.00465893\pi\) | ||||
−0.999893 | + | 0.0146359i | \(0.995341\pi\) | |||||||
\(384\) | −49.0297 | − | 439.416i | −0.127681 | − | 1.14431i | ||||
\(385\) | 213.747 | 0.555186 | ||||||||
\(386\) | − | 52.9463i | − | 0.137167i | ||||||
\(387\) | −138.886 | + | 31.3844i | −0.358879 | + | 0.0810966i | ||||
\(388\) | 52.3341 | 0.134882 | ||||||||
\(389\) | − | 343.975i | − | 0.884255i | −0.896952 | − | 0.442127i | \(-0.854224\pi\) | ||
0.896952 | − | 0.442127i | \(-0.145776\pi\) | |||||||
\(390\) | −610.382 | + | 68.1060i | −1.56508 | + | 0.174631i | ||||
\(391\) | 77.9786 | 0.199434 | ||||||||
\(392\) | 308.463i | 0.786895i | ||||||||
\(393\) | 81.8196 | + | 733.287i | 0.208192 | + | 1.86587i | ||||
\(394\) | 57.2649 | 0.145343 | ||||||||
\(395\) | − | 637.418i | − | 1.61372i | ||||||
\(396\) | 16.1600 | + | 71.5133i | 0.0408080 | + | 0.180589i | ||||
\(397\) | 1.87556 | 0.00472433 | 0.00236216 | − | 0.999997i | \(-0.499248\pi\) | ||||
0.00236216 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(398\) | 303.416i | 0.762353i | ||||||||
\(399\) | −27.3648 | + | 3.05335i | −0.0685835 | + | 0.00765250i | ||||
\(400\) | 28.5057 | 0.0712642 | ||||||||
\(401\) | − | 366.293i | − | 0.913450i | −0.889608 | − | 0.456725i | \(-0.849022\pi\) | ||
0.889608 | − | 0.456725i | \(-0.150978\pi\) | |||||||
\(402\) | 51.5606 | + | 462.098i | 0.128260 | + | 1.14950i | ||||
\(403\) | 522.872 | 1.29745 | ||||||||
\(404\) | − | 5.92338i | − | 0.0146618i | ||||||
\(405\) | 179.625 | + | 377.155i | 0.443518 | + | 0.931246i | ||||
\(406\) | −142.088 | −0.349971 | ||||||||
\(407\) | − | 927.517i | − | 2.27891i | ||||||
\(408\) | −107.553 | + | 12.0007i | −0.263610 | + | 0.0294134i | ||||
\(409\) | −246.497 | −0.602682 | −0.301341 | − | 0.953516i | \(-0.597434\pi\) | ||||
−0.301341 | + | 0.953516i | \(0.597434\pi\) | |||||||
\(410\) | 412.864i | 1.00698i | ||||||||
\(411\) | −65.2172 | − | 584.492i | −0.158679 | − | 1.42212i | ||||
\(412\) | 54.5154 | 0.132319 | ||||||||
\(413\) | 20.6703i | 0.0500492i | ||||||||
\(414\) | −298.315 | + | 67.4107i | −0.720567 | + | 0.162828i | ||||
\(415\) | −739.931 | −1.78297 | ||||||||
\(416\) | 156.866i | 0.377082i | ||||||||
\(417\) | −243.355 | + | 27.1534i | −0.583586 | + | 0.0651161i | ||||
\(418\) | −111.786 | −0.267431 | ||||||||
\(419\) | 560.527i | 1.33777i | 0.743364 | + | 0.668887i | \(0.233229\pi\) | ||||
−0.743364 | + | 0.668887i | \(0.766771\pi\) | |||||||
\(420\) | 2.44214 | + | 21.8871i | 0.00581462 | + | 0.0521120i | ||||
\(421\) | 657.045 | 1.56068 | 0.780339 | − | 0.625357i | \(-0.215047\pi\) | ||||
0.780339 | + | 0.625357i | \(0.215047\pi\) | |||||||
\(422\) | − | 594.452i | − | 1.40865i | ||||||
\(423\) | −26.0787 | − | 115.407i | −0.0616518 | − | 0.272830i | ||||
\(424\) | 258.810 | 0.610400 | ||||||||
\(425\) | − | 7.80480i | − | 0.0183642i | ||||||
\(426\) | −175.868 | + | 19.6232i | −0.412835 | + | 0.0460638i | ||||
\(427\) | −225.279 | −0.527586 | ||||||||
\(428\) | 84.2256i | 0.196789i | ||||||||
\(429\) | 95.5682 | + | 856.505i | 0.222770 | + | 1.99652i | ||||
\(430\) | −173.642 | −0.403820 | ||||||||
\(431\) | 805.638i | 1.86923i | 0.355662 | + | 0.934615i | \(0.384255\pi\) | ||||
−0.355662 | + | 0.934615i | \(0.615745\pi\) | |||||||
\(432\) | 455.060 | − | 157.579i | 1.05338 | − | 0.364767i | ||||
\(433\) | 17.6191 | 0.0406907 | 0.0203454 | − | 0.999793i | \(-0.493523\pi\) | ||||
0.0203454 | + | 0.999793i | \(0.493523\pi\) | |||||||
\(434\) | − | 160.536i | − | 0.369898i | ||||||
\(435\) | −381.504 | + | 42.5679i | −0.877021 | + | 0.0978574i | ||||
\(436\) | 56.5279 | 0.129651 | ||||||||
\(437\) | − | 54.4610i | − | 0.124625i | ||||||
\(438\) | 38.5296 | + | 345.311i | 0.0879670 | + | 0.788382i | ||||
\(439\) | −159.746 | −0.363887 | −0.181943 | − | 0.983309i | \(-0.558239\pi\) | ||||
−0.181943 | + | 0.983309i | \(0.558239\pi\) | |||||||
\(440\) | − | 586.731i | − | 1.33348i | ||||||
\(441\) | −366.582 | + | 82.8371i | −0.831251 | + | 0.187839i | ||||
\(442\) | 193.851 | 0.438577 | ||||||||
\(443\) | 421.604i | 0.951702i | 0.879526 | + | 0.475851i | \(0.157860\pi\) | ||||
−0.879526 | + | 0.475851i | \(0.842140\pi\) | |||||||
\(444\) | 94.9750 | − | 10.5972i | 0.213908 | − | 0.0238677i | ||||
\(445\) | 112.651 | 0.253148 | ||||||||
\(446\) | 402.681i | 0.902872i | ||||||||
\(447\) | 81.4175 | + | 729.684i | 0.182142 | + | 1.63240i | ||||
\(448\) | −143.828 | −0.321044 | ||||||||
\(449\) | 148.008i | 0.329638i | 0.986324 | + | 0.164819i | \(0.0527040\pi\) | ||||
−0.986324 | + | 0.164819i | \(0.947296\pi\) | |||||||
\(450\) | 6.74707 | + | 29.8580i | 0.0149935 | + | 0.0663511i | ||||
\(451\) | 579.342 | 1.28457 | ||||||||
\(452\) | − | 86.7428i | − | 0.191909i | ||||||
\(453\) | 418.293 | − | 46.6728i | 0.923384 | − | 0.103030i | ||||
\(454\) | −825.799 | −1.81894 | ||||||||
\(455\) | 258.875i | 0.568956i | ||||||||
\(456\) | 8.38138 | + | 75.1160i | 0.0183802 | + | 0.164728i | ||||
\(457\) | −47.4974 | −0.103933 | −0.0519665 | − | 0.998649i | \(-0.516549\pi\) | ||||
−0.0519665 | + | 0.998649i | \(0.516549\pi\) | |||||||
\(458\) | − | 803.213i | − | 1.75374i | ||||||
\(459\) | −43.1449 | − | 124.595i | −0.0939976 | − | 0.271448i | ||||
\(460\) | −43.5592 | −0.0946940 | ||||||||
\(461\) | 510.179i | 1.10668i | 0.832956 | + | 0.553340i | \(0.186647\pi\) | ||||
−0.832956 | + | 0.553340i | \(0.813353\pi\) | |||||||
\(462\) | 262.970 | − | 29.3420i | 0.569199 | − | 0.0635108i | ||||
\(463\) | 470.002 | 1.01512 | 0.507562 | − | 0.861615i | \(-0.330547\pi\) | ||||
0.507562 | + | 0.861615i | \(0.330547\pi\) | |||||||
\(464\) | 442.523i | 0.953713i | ||||||||
\(465\) | −48.0946 | − | 431.035i | −0.103429 | − | 0.926958i | ||||
\(466\) | 786.238 | 1.68721 | ||||||||
\(467\) | 534.667i | 1.14490i | 0.819941 | + | 0.572449i | \(0.194006\pi\) | ||||
−0.819941 | + | 0.572449i | \(0.805994\pi\) | |||||||
\(468\) | −86.6118 | + | 19.5718i | −0.185068 | + | 0.0418201i | ||||
\(469\) | 195.985 | 0.417878 | ||||||||
\(470\) | − | 144.287i | − | 0.306994i | ||||||
\(471\) | −301.192 | + | 33.6068i | −0.639474 | + | 0.0713521i | ||||
\(472\) | 56.7396 | 0.120211 | ||||||||
\(473\) | 243.660i | 0.515137i | ||||||||
\(474\) | −87.5013 | − | 784.207i | −0.184602 | − | 1.65445i | ||||
\(475\) | −5.45095 | −0.0114757 | ||||||||
\(476\) | − | 6.95111i | − | 0.0146032i | ||||||
\(477\) | 69.5028 | + | 307.573i | 0.145708 | + | 0.644807i | ||||
\(478\) | 971.775 | 2.03300 | ||||||||
\(479\) | − | 399.048i | − | 0.833085i | −0.909116 | − | 0.416542i | \(-0.863242\pi\) | ||
0.909116 | − | 0.416542i | \(-0.136758\pi\) | |||||||
\(480\) | 129.314 | − | 14.4288i | 0.269405 | − | 0.0300600i | ||||
\(481\) | 1123.34 | 2.33543 | ||||||||
\(482\) | 471.273i | 0.977744i | ||||||||
\(483\) | 14.2951 | + | 128.116i | 0.0295965 | + | 0.265251i | ||||
\(484\) | 61.4600 | 0.126983 | ||||||||
\(485\) | − | 510.276i | − | 1.05212i | ||||||
\(486\) | 272.764 | + | 439.351i | 0.561243 | + | 0.904014i | ||||
\(487\) | −461.325 | −0.947279 | −0.473639 | − | 0.880719i | \(-0.657060\pi\) | ||||
−0.473639 | + | 0.880719i | \(0.657060\pi\) | |||||||
\(488\) | 618.387i | 1.26719i | ||||||||
\(489\) | −109.412 | + | 12.2081i | −0.223747 | + | 0.0249655i | ||||
\(490\) | −458.318 | −0.935343 | ||||||||
\(491\) | 660.058i | 1.34431i | 0.740409 | + | 0.672156i | \(0.234632\pi\) | ||||
−0.740409 | + | 0.672156i | \(0.765368\pi\) | |||||||
\(492\) | 6.61920 | + | 59.3229i | 0.0134537 | + | 0.120575i | ||||
\(493\) | 121.162 | 0.245764 | ||||||||
\(494\) | − | 135.387i | − | 0.274064i | ||||||
\(495\) | 697.280 | − | 157.566i | 1.40865 | − | 0.318314i | ||||
\(496\) | −499.976 | −1.00802 | ||||||||
\(497\) | 74.5889i | 0.150078i | ||||||||
\(498\) | −910.327 | + | 101.574i | −1.82797 | + | 0.203963i | ||||
\(499\) | 131.114 | 0.262754 | 0.131377 | − | 0.991332i | \(-0.458060\pi\) | ||||
0.131377 | + | 0.991332i | \(0.458060\pi\) | |||||||
\(500\) | − | 63.8383i | − | 0.127677i | ||||||
\(501\) | −30.4698 | − | 273.078i | −0.0608180 | − | 0.545066i | ||||
\(502\) | −522.603 | −1.04104 | ||||||||
\(503\) | 7.20522i | 0.0143245i | 0.999974 | + | 0.00716225i | \(0.00227983\pi\) | ||||
−0.999974 | + | 0.00716225i | \(0.997720\pi\) | |||||||
\(504\) | −39.4333 | − | 174.506i | −0.0782408 | − | 0.346241i | ||||
\(505\) | −57.7551 | −0.114366 | ||||||||
\(506\) | 523.358i | 1.03430i | ||||||||
\(507\) | −533.465 | + | 59.5236i | −1.05220 | + | 0.117404i | ||||
\(508\) | −79.6407 | −0.156773 | ||||||||
\(509\) | 155.141i | 0.304796i | 0.988319 | + | 0.152398i | \(0.0486995\pi\) | ||||
−0.988319 | + | 0.152398i | \(0.951300\pi\) | |||||||
\(510\) | −17.8308 | − | 159.803i | −0.0349623 | − | 0.313340i | ||||
\(511\) | 146.453 | 0.286601 | ||||||||
\(512\) | 377.011i | 0.736350i | ||||||||
\(513\) | −87.0180 | + | 30.1328i | −0.169626 | + | 0.0587384i | ||||
\(514\) | 101.323 | 0.197126 | ||||||||
\(515\) | − | 531.544i | − | 1.03212i | ||||||
\(516\) | −24.9501 | + | 2.78391i | −0.0483529 | + | 0.00539517i | ||||
\(517\) | −202.468 | −0.391621 | ||||||||
\(518\) | − | 344.896i | − | 0.665822i | ||||||
\(519\) | −10.7555 | − | 96.3936i | −0.0207236 | − | 0.185730i | ||||
\(520\) | 710.607 | 1.36655 | ||||||||
\(521\) | 453.960i | 0.871323i | 0.900110 | + | 0.435662i | \(0.143486\pi\) | ||||
−0.900110 | + | 0.435662i | \(0.856514\pi\) | |||||||
\(522\) | −463.516 | + | 104.742i | −0.887962 | + | 0.200654i | ||||
\(523\) | 198.044 | 0.378670 | 0.189335 | − | 0.981913i | \(-0.439367\pi\) | ||||
0.189335 | + | 0.981913i | \(0.439367\pi\) | |||||||
\(524\) | 130.090i | 0.248264i | ||||||||
\(525\) | 12.8230 | − | 1.43078i | 0.0244248 | − | 0.00272530i | ||||
\(526\) | 51.9045 | 0.0986778 | ||||||||
\(527\) | 136.892i | 0.259758i | ||||||||
\(528\) | −91.3834 | − | 819.000i | −0.173075 | − | 1.55114i | ||||
\(529\) | 274.026 | 0.518007 | ||||||||
\(530\) | 384.543i | 0.725552i | ||||||||
\(531\) | 15.2373 | + | 67.4301i | 0.0286955 | + | 0.126987i | ||||
\(532\) | −4.85472 | −0.00912541 | ||||||||
\(533\) | 701.657i | 1.31643i | ||||||||
\(534\) | 138.593 | − | 15.4641i | 0.259538 | − | 0.0289590i | ||||
\(535\) | 821.230 | 1.53501 | ||||||||
\(536\) | − | 537.975i | − | 1.00368i | ||||||
\(537\) | −88.3590 | − | 791.895i | −0.164542 | − | 1.47466i | ||||
\(538\) | 165.386 | 0.307409 | ||||||||
\(539\) | 643.125i | 1.19318i | ||||||||
\(540\) | 24.1009 | + | 69.5992i | 0.0446314 | + | 0.128887i | ||||
\(541\) | −283.459 | −0.523954 | −0.261977 | − | 0.965074i | \(-0.584374\pi\) | ||||
−0.261977 | + | 0.965074i | \(0.584374\pi\) | |||||||
\(542\) | − | 851.592i | − | 1.57120i | ||||||
\(543\) | 622.637 | − | 69.4733i | 1.14666 | − | 0.127944i | ||||
\(544\) | −41.0690 | −0.0754944 | ||||||||
\(545\) | − | 551.167i | − | 1.01131i | ||||||
\(546\) | 35.5369 | + | 318.490i | 0.0650859 | + | 0.583316i | ||||
\(547\) | 35.6589 | 0.0651899 | 0.0325949 | − | 0.999469i | \(-0.489623\pi\) | ||||
0.0325949 | + | 0.999469i | \(0.489623\pi\) | |||||||
\(548\) | − | 103.693i | − | 0.189221i | ||||||
\(549\) | −734.900 | + | 166.067i | −1.33862 | + | 0.302489i | ||||
\(550\) | 52.3824 | 0.0952407 | ||||||||
\(551\) | − | 84.6206i | − | 0.153576i | ||||||
\(552\) | 351.676 | − | 39.2398i | 0.637095 | − | 0.0710865i | ||||
\(553\) | −332.598 | −0.601442 | ||||||||
\(554\) | − | 845.723i | − | 1.52658i | ||||||
\(555\) | −103.327 | − | 926.040i | −0.186175 | − | 1.66854i | ||||
\(556\) | −43.1730 | −0.0776493 | ||||||||
\(557\) | 105.727i | 0.189816i | 0.995486 | + | 0.0949078i | \(0.0302556\pi\) | ||||
−0.995486 | + | 0.0949078i | \(0.969744\pi\) | |||||||
\(558\) | −118.340 | − | 523.695i | −0.212079 | − | 0.938522i | ||||
\(559\) | −295.104 | −0.527913 | ||||||||
\(560\) | − | 247.539i | − | 0.442034i | ||||||
\(561\) | −224.241 | + | 25.0206i | −0.399716 | + | 0.0446000i | ||||
\(562\) | 178.041 | 0.316799 | ||||||||
\(563\) | − | 521.415i | − | 0.926137i | −0.886323 | − | 0.463068i | \(-0.846748\pi\) | ||
0.886323 | − | 0.463068i | \(-0.153252\pi\) | |||||||
\(564\) | −2.31328 | − | 20.7321i | −0.00410155 | − | 0.0367591i | ||||
\(565\) | −845.773 | −1.49694 | ||||||||
\(566\) | 224.065i | 0.395874i | ||||||||
\(567\) | 196.795 | − | 93.7262i | 0.347081 | − | 0.165302i | ||||
\(568\) | 204.745 | 0.360467 | ||||||||
\(569\) | − | 646.759i | − | 1.13666i | −0.822801 | − | 0.568330i | \(-0.807590\pi\) | ||
0.822801 | − | 0.568330i | \(-0.192410\pi\) | |||||||
\(570\) | −111.608 | + | 12.4532i | −0.195804 | + | 0.0218477i | ||||
\(571\) | −1073.49 | −1.88002 | −0.940010 | − | 0.341146i | \(-0.889185\pi\) | ||||
−0.940010 | + | 0.341146i | \(0.889185\pi\) | |||||||
\(572\) | 151.950i | 0.265647i | ||||||||
\(573\) | 11.7322 | + | 105.147i | 0.0204751 | + | 0.183503i | ||||
\(574\) | 215.427 | 0.375309 | ||||||||
\(575\) | 25.5201i | 0.0443828i | ||||||||
\(576\) | −469.191 | + | 106.024i | −0.814567 | + | 0.184069i | ||||
\(577\) | −495.612 | −0.858947 | −0.429473 | − | 0.903079i | \(-0.641301\pi\) | ||||
−0.429473 | + | 0.903079i | \(0.641301\pi\) | |||||||
\(578\) | − | 564.278i | − | 0.976259i | ||||||
\(579\) | −74.1775 | + | 8.27667i | −0.128113 | + | 0.0142948i | ||||
\(580\) | −67.6816 | −0.116692 | ||||||||
\(581\) | 386.087i | 0.664522i | ||||||||
\(582\) | −70.0479 | − | 627.786i | −0.120357 | − | 1.07867i | ||||
\(583\) | 539.601 | 0.925559 | ||||||||
\(584\) | − | 402.011i | − | 0.688376i | ||||||
\(585\) | 190.832 | + | 844.495i | 0.326209 | + | 1.44358i | ||||
\(586\) | 114.510 | 0.195410 | ||||||||
\(587\) | − | 219.909i | − | 0.374632i | −0.982300 | − | 0.187316i | \(-0.940021\pi\) | ||
0.982300 | − | 0.187316i | \(-0.0599788\pi\) | |||||||
\(588\) | −65.8541 | + | 7.34795i | −0.111997 | + | 0.0124965i | ||||
\(589\) | 95.6070 | 0.162321 | ||||||||
\(590\) | 84.3044i | 0.142889i | ||||||||
\(591\) | −8.95176 | − | 80.2278i | −0.0151468 | − | 0.135749i | ||||
\(592\) | −1074.15 | −1.81445 | ||||||||
\(593\) | 344.715i | 0.581307i | 0.956828 | + | 0.290654i | \(0.0938728\pi\) | ||||
−0.956828 | + | 0.290654i | \(0.906127\pi\) | |||||||
\(594\) | 836.224 | − | 289.570i | 1.40779 | − | 0.487491i | ||||
\(595\) | −67.7758 | −0.113909 | ||||||||
\(596\) | 129.451i | 0.217200i | ||||||||
\(597\) | 425.084 | − | 47.4306i | 0.712034 | − | 0.0794482i | ||||
\(598\) | −633.854 | −1.05996 | ||||||||
\(599\) | − | 72.2992i | − | 0.120700i | −0.998177 | − | 0.0603499i | \(-0.980778\pi\) | ||
0.998177 | − | 0.0603499i | \(-0.0192216\pi\) | |||||||
\(600\) | −3.92747 | − | 35.1989i | −0.00654578 | − | 0.0586649i | ||||
\(601\) | 1109.43 | 1.84597 | 0.922985 | − | 0.384836i | \(-0.125742\pi\) | ||||
0.922985 | + | 0.384836i | \(0.125742\pi\) | |||||||
\(602\) | 90.6047i | 0.150506i | ||||||||
\(603\) | 639.337 | − | 144.472i | 1.06026 | − | 0.239589i | ||||
\(604\) | 74.2082 | 0.122861 | ||||||||
\(605\) | − | 599.257i | − | 0.990507i | ||||||
\(606\) | −71.0553 | + | 7.92830i | −0.117253 | + | 0.0130830i | ||||
\(607\) | −311.142 | −0.512589 | −0.256295 | − | 0.966599i | \(-0.582502\pi\) | ||||
−0.256295 | + | 0.966599i | \(0.582502\pi\) | |||||||
\(608\) | 28.6829i | 0.0471759i | ||||||||
\(609\) | 22.2115 | + | 199.065i | 0.0364720 | + | 0.326871i | ||||
\(610\) | −918.808 | −1.50624 | ||||||||
\(611\) | − | 245.215i | − | 0.401334i | ||||||
\(612\) | −5.12408 | − | 22.6757i | −0.00837267 | − | 0.0370518i | ||||
\(613\) | −93.5672 | −0.152638 | −0.0763191 | − | 0.997083i | \(-0.524317\pi\) | ||||
−0.0763191 | + | 0.997083i | \(0.524317\pi\) | |||||||
\(614\) | − | 433.791i | − | 0.706500i | ||||||
\(615\) | 578.419 | − | 64.5396i | 0.940519 | − | 0.104942i | ||||
\(616\) | −306.150 | −0.496996 | ||||||||
\(617\) | − | 837.167i | − | 1.35683i | −0.734677 | − | 0.678417i | \(-0.762666\pi\) | ||
0.734677 | − | 0.678417i | \(-0.237334\pi\) | |||||||
\(618\) | −72.9675 | − | 653.952i | −0.118070 | − | 1.05817i | ||||
\(619\) | 416.723 | 0.673219 | 0.336609 | − | 0.941644i | \(-0.390720\pi\) | ||||
0.336609 | + | 0.941644i | \(0.390720\pi\) | |||||||
\(620\) | − | 76.4688i | − | 0.123337i | ||||||
\(621\) | 141.075 | + | 407.399i | 0.227174 | + | 0.656037i | ||||
\(622\) | 1072.00 | 1.72347 | ||||||||
\(623\) | − | 58.7800i | − | 0.0943500i | ||||||
\(624\) | 991.915 | − | 110.677i | 1.58961 | − | 0.177367i | ||||
\(625\) | −662.401 | −1.05984 | ||||||||
\(626\) | − | 452.710i | − | 0.723179i | ||||||
\(627\) | 17.4746 | + | 156.612i | 0.0278702 | + | 0.249780i | ||||
\(628\) | −53.4337 | −0.0850855 | ||||||||
\(629\) | 294.101i | 0.467569i | ||||||||
\(630\) | 259.283 | − | 58.5906i | 0.411560 | − | 0.0930009i | ||||
\(631\) | 609.967 | 0.966668 | 0.483334 | − | 0.875436i | \(-0.339426\pi\) | ||||
0.483334 | + | 0.875436i | \(0.339426\pi\) | |||||||
\(632\) | 912.975i | 1.44458i | ||||||||
\(633\) | −832.823 | + | 92.9258i | −1.31568 | + | 0.146802i | ||||
\(634\) | −980.122 | −1.54593 | ||||||||
\(635\) | 776.525i | 1.22287i | ||||||||
\(636\) | 6.16515 | + | 55.2536i | 0.00969363 | + | 0.0868767i | ||||
\(637\) | −778.907 | −1.22277 | ||||||||
\(638\) | 813.185i | 1.27458i | ||||||||
\(639\) | 54.9839 | + | 243.322i | 0.0860468 | + | 0.380786i | ||||
\(640\) | −760.094 | −1.18765 | ||||||||
\(641\) | 1232.43i | 1.92266i | 0.275394 | + | 0.961331i | \(0.411192\pi\) | ||||
−0.275394 | + | 0.961331i | \(0.588808\pi\) | |||||||
\(642\) | 1010.35 | − | 112.734i | 1.57375 | − | 0.175598i | ||||
\(643\) | −919.351 | −1.42978 | −0.714892 | − | 0.699235i | \(-0.753524\pi\) | ||||
−0.714892 | + | 0.699235i | \(0.753524\pi\) | |||||||
\(644\) | 22.7287i | 0.0352930i | ||||||||
\(645\) | 27.1441 | + | 243.272i | 0.0420839 | + | 0.377166i | ||||
\(646\) | 35.4456 | 0.0548694 | ||||||||
\(647\) | 270.021i | 0.417343i | 0.977986 | + | 0.208671i | \(0.0669139\pi\) | ||||
−0.977986 | + | 0.208671i | \(0.933086\pi\) | |||||||
\(648\) | −257.277 | − | 540.199i | −0.397032 | − | 0.833641i | ||||
\(649\) | 118.298 | 0.182278 | ||||||||
\(650\) | 63.4418i | 0.0976028i | ||||||||
\(651\) | −224.909 | + | 25.0952i | −0.345483 | + | 0.0385487i | ||||
\(652\) | −19.4105 | −0.0297707 | ||||||||
\(653\) | − | 430.290i | − | 0.658943i | −0.944166 | − | 0.329472i | \(-0.893129\pi\) | ||
0.944166 | − | 0.329472i | \(-0.106871\pi\) | |||||||
\(654\) | −75.6611 | − | 678.093i | −0.115690 | − | 1.03684i | ||||
\(655\) | 1268.43 | 1.93653 | ||||||||
\(656\) | − | 670.933i | − | 1.02276i | ||||||
\(657\) | 477.756 | − | 107.959i | 0.727178 | − | 0.164322i | ||||
\(658\) | −75.2875 | −0.114419 | ||||||||
\(659\) | − | 1083.87i | − | 1.64473i | −0.568964 | − | 0.822363i | \(-0.692656\pi\) | ||
0.568964 | − | 0.822363i | \(-0.307344\pi\) | |||||||
\(660\) | 125.262 | − | 13.9766i | 0.189791 | − | 0.0211767i | ||||
\(661\) | −114.088 | −0.172599 | −0.0862996 | − | 0.996269i | \(-0.527504\pi\) | ||||
−0.0862996 | + | 0.996269i | \(0.527504\pi\) | |||||||
\(662\) | 882.719i | 1.33341i | ||||||||
\(663\) | −30.3032 | − | 271.584i | −0.0457061 | − | 0.409629i | ||||
\(664\) | 1059.80 | 1.59609 | ||||||||
\(665\) | 47.3352i | 0.0711808i | ||||||||
\(666\) | −254.243 | − | 1125.11i | −0.381747 | − | 1.68936i | ||||
\(667\) | −396.175 | −0.593965 | ||||||||
\(668\) | − | 48.4460i | − | 0.0725239i | ||||||
\(669\) | 564.153 | − | 62.9478i | 0.843279 | − | 0.0940924i | ||||
\(670\) | 799.330 | 1.19303 | ||||||||
\(671\) | 1289.30i | 1.92145i | ||||||||
\(672\) | −7.52879 | − | 67.4748i | −0.0112036 | − | 0.100409i | ||||
\(673\) | 340.904 | 0.506544 | 0.253272 | − | 0.967395i | \(-0.418493\pi\) | ||||
0.253272 | + | 0.967395i | \(0.418493\pi\) | |||||||
\(674\) | 730.775i | 1.08424i | ||||||||
\(675\) | 40.7762 | − | 14.1201i | 0.0604091 | − | 0.0209186i | ||||
\(676\) | −94.6406 | −0.140001 | ||||||||
\(677\) | − | 905.939i | − | 1.33817i | −0.743187 | − | 0.669084i | \(-0.766687\pi\) | ||
0.743187 | − | 0.669084i | \(-0.233313\pi\) | |||||||
\(678\) | −1040.54 | + | 116.103i | −1.53472 | + | 0.171243i | ||||
\(679\) | −266.256 | −0.392130 | ||||||||
\(680\) | 186.043i | 0.273593i | ||||||||
\(681\) | 129.090 | + | 1156.94i | 0.189560 | + | 1.69888i | ||||
\(682\) | −918.762 | −1.34716 | ||||||||
\(683\) | 172.470i | 0.252518i | 0.991997 | + | 0.126259i | \(0.0402970\pi\) | ||||
−0.991997 | + | 0.126259i | \(0.959703\pi\) | |||||||
\(684\) | −15.8369 | + | 3.57870i | −0.0231534 | + | 0.00523202i | ||||
\(685\) | −1011.05 | −1.47598 | ||||||||
\(686\) | 519.763i | 0.757672i | ||||||||
\(687\) | −1125.30 | + | 125.560i | −1.63799 | + | 0.182765i | ||||
\(688\) | 282.181 | 0.410147 | ||||||||
\(689\) | 653.526i | 0.948514i | ||||||||
\(690\) | 58.3029 | + | 522.525i | 0.0844970 | + | 0.757283i | ||||
\(691\) | −762.162 | −1.10298 | −0.551492 | − | 0.834180i | \(-0.685941\pi\) | ||||
−0.551492 | + | 0.834180i | \(0.685941\pi\) | |||||||
\(692\) | − | 17.1009i | − | 0.0247123i | ||||||
\(693\) | −82.2159 | − | 363.832i | −0.118638 | − | 0.525011i | ||||
\(694\) | 14.8777 | 0.0214376 | ||||||||
\(695\) | 420.952i | 0.605687i | ||||||||
\(696\) | 546.429 | − | 60.9701i | 0.785099 | − | 0.0876007i | ||||
\(697\) | −183.700 | −0.263558 | ||||||||
\(698\) | 947.084i | 1.35685i | ||||||||
\(699\) | −122.906 | − | 1101.51i | −0.175831 | − | 1.57584i | ||||
\(700\) | 2.27489 | 0.00324985 | ||||||||
\(701\) | − | 1223.58i | − | 1.74548i | −0.488188 | − | 0.872739i | \(-0.662342\pi\) | ||
0.488188 | − | 0.872739i | \(-0.337658\pi\) | |||||||
\(702\) | 350.706 | + | 1012.78i | 0.499581 | + | 1.44270i | ||||
\(703\) | 205.403 | 0.292180 | ||||||||
\(704\) | 823.140i | 1.16923i | ||||||||
\(705\) | −202.146 | + | 22.5553i | −0.286732 | + | 0.0319933i | ||||
\(706\) | 526.755 | 0.746112 | ||||||||
\(707\) | 30.1359i | 0.0426251i | ||||||||
\(708\) | 1.35160 | + | 12.1134i | 0.00190905 | + | 0.0171093i | ||||
\(709\) | 110.240 | 0.155487 | 0.0777435 | − | 0.996973i | \(-0.475228\pi\) | ||||
0.0777435 | + | 0.996973i | \(0.475228\pi\) | |||||||
\(710\) | 304.213i | 0.428469i | ||||||||
\(711\) | −1084.99 | + | 245.177i | −1.52601 | + | 0.344835i | ||||
\(712\) | −161.350 | −0.226615 | ||||||||
\(713\) | − | 447.611i | − | 0.627785i | ||||||
\(714\) | −83.3836 | + | 9.30388i | −0.116784 | + | 0.0130306i | ||||
\(715\) | 1481.57 | 2.07212 | ||||||||
\(716\) | − | 140.488i | − | 0.196212i | ||||||
\(717\) | −151.910 | − | 1361.45i | −0.211868 | − | 1.89882i | ||||
\(718\) | −716.914 | −0.998487 | ||||||||
\(719\) | − | 663.517i | − | 0.922834i | −0.887183 | − | 0.461417i | \(-0.847341\pi\) | ||
0.887183 | − | 0.461417i | \(-0.152659\pi\) | |||||||
\(720\) | −182.476 | − | 807.516i | −0.253439 | − | 1.12155i | ||||
\(721\) | −277.354 | −0.384679 | ||||||||
\(722\) | 743.500i | 1.02978i | ||||||||
\(723\) | 660.250 | − | 73.6702i | 0.913209 | − | 0.101895i | ||||
\(724\) | 110.460 | 0.152569 | ||||||||
\(725\) | 39.6527i | 0.0546934i | ||||||||
\(726\) | −82.2627 | − | 737.258i | −0.113309 | − | 1.01551i | ||||
\(727\) | 684.753 | 0.941889 | 0.470944 | − | 0.882163i | \(-0.343913\pi\) | ||||
0.470944 | + | 0.882163i | \(0.343913\pi\) | |||||||
\(728\) | − | 370.787i | − | 0.509322i | ||||||
\(729\) | 572.889 | − | 450.821i | 0.785856 | − | 0.618410i | ||||
\(730\) | 597.314 | 0.818238 | ||||||||
\(731\) | − | 77.2607i | − | 0.105692i | ||||||
\(732\) | −132.020 | + | 14.7307i | −0.180355 | + | 0.0201239i | ||||
\(733\) | 981.794 | 1.33942 | 0.669709 | − | 0.742624i | \(-0.266419\pi\) | ||||
0.669709 | + | 0.742624i | \(0.266419\pi\) | |||||||
\(734\) | 867.973i | 1.18252i | ||||||||
\(735\) | 71.6451 | + | 642.101i | 0.0974764 | + | 0.873607i | ||||
\(736\) | 134.287 | 0.182455 | ||||||||
\(737\) | − | 1121.64i | − | 1.52190i | ||||||
\(738\) | 702.762 | − | 158.804i | 0.952252 | − | 0.215182i | ||||
\(739\) | 820.477 | 1.11025 | 0.555126 | − | 0.831766i | \(-0.312670\pi\) | ||||
0.555126 | + | 0.831766i | \(0.312670\pi\) | |||||||
\(740\) | − | 164.286i | − | 0.222008i | ||||||
\(741\) | −189.677 | + | 21.1640i | −0.255974 | + | 0.0285614i | ||||
\(742\) | 200.650 | 0.270418 | ||||||||
\(743\) | 252.899i | 0.340376i | 0.985412 | + | 0.170188i | \(0.0544374\pi\) | ||||
−0.985412 | + | 0.170188i | \(0.945563\pi\) | |||||||
\(744\) | 68.8859 | + | 617.372i | 0.0925886 | + | 0.829801i | ||||
\(745\) | 1262.19 | 1.69422 | ||||||||
\(746\) | 184.115i | 0.246803i | ||||||||
\(747\) | 284.608 | + | 1259.48i | 0.381001 | + | 1.68606i | ||||
\(748\) | −39.7819 | −0.0531844 | ||||||||
\(749\) | − | 428.508i | − | 0.572107i | ||||||
\(750\) | −765.787 | + | 85.4459i | −1.02105 | + | 0.113928i | ||||
\(751\) | 565.853 | 0.753466 | 0.376733 | − | 0.926322i | \(-0.377047\pi\) | ||||
0.376733 | + | 0.926322i | \(0.377047\pi\) | |||||||
\(752\) | 234.477i | 0.311805i | ||||||||
\(753\) | 81.6942 | + | 732.163i | 0.108492 | + | 0.972328i | ||||
\(754\) | −984.872 | −1.30620 | ||||||||
\(755\) | − | 723.556i | − | 0.958352i | ||||||
\(756\) | 36.3160 | − | 12.5756i | 0.0480371 | − | 0.0166344i | ||||
\(757\) | 366.712 | 0.484428 | 0.242214 | − | 0.970223i | \(-0.422126\pi\) | ||||
0.242214 | + | 0.970223i | \(0.422126\pi\) | |||||||
\(758\) | 945.740i | 1.24768i | ||||||||
\(759\) | 733.222 | − | 81.8123i | 0.966036 | − | 0.107790i | ||||
\(760\) | 129.934 | 0.170966 | ||||||||
\(761\) | − | 246.039i | − | 0.323310i | −0.986847 | − | 0.161655i | \(-0.948317\pi\) | ||
0.986847 | − | 0.161655i | \(-0.0516832\pi\) | |||||||
\(762\) | 106.597 | + | 955.348i | 0.139891 | + | 1.25374i | ||||
\(763\) | −287.592 | −0.376923 | ||||||||
\(764\) | 18.6538i | 0.0244160i | ||||||||
\(765\) | −221.096 | + | 49.9615i | −0.289015 | + | 0.0653092i | ||||
\(766\) | 23.8587 | 0.0311472 | ||||||||
\(767\) | 143.275i | 0.186799i | ||||||||
\(768\) | −297.729 | + | 33.2204i | −0.387668 | + | 0.0432557i | ||||
\(769\) | 1153.63 | 1.50017 | 0.750083 | − | 0.661344i | \(-0.230014\pi\) | ||||
0.750083 | + | 0.661344i | \(0.230014\pi\) | |||||||
\(770\) | − | 454.881i | − | 0.590755i | ||||||
\(771\) | −15.8390 | − | 141.953i | −0.0205434 | − | 0.184115i | ||||
\(772\) | −13.1596 | −0.0170461 | ||||||||
\(773\) | 841.471i | 1.08858i | 0.838898 | + | 0.544289i | \(0.183200\pi\) | ||||
−0.838898 | + | 0.544289i | \(0.816800\pi\) | |||||||
\(774\) | 66.7901 | + | 295.568i | 0.0862921 | + | 0.381871i | ||||
\(775\) | −44.8009 | −0.0578076 | ||||||||
\(776\) | 730.869i | 0.941842i | ||||||||
\(777\) | −483.197 | + | 53.9148i | −0.621875 | + | 0.0693884i | ||||
\(778\) | −732.024 | −0.940905 | ||||||||
\(779\) | 128.298i | 0.164696i | ||||||||
\(780\) | 16.9275 | + | 151.708i | 0.0217019 | + | 0.194498i | ||||
\(781\) | 426.880 | 0.546581 | ||||||||
\(782\) | − | 165.949i | − | 0.212211i | ||||||
\(783\) | 219.200 | + | 633.010i | 0.279949 | + | 0.808442i | ||||
\(784\) | 744.800 | 0.950000 | ||||||||
\(785\) | 520.998i | 0.663691i | ||||||||
\(786\) | 1560.53 | − | 174.123i | 1.98541 | − | 0.221530i | ||||
\(787\) | 222.739 | 0.283023 | 0.141512 | − | 0.989937i | \(-0.454804\pi\) | ||||
0.141512 | + | 0.989937i | \(0.454804\pi\) | |||||||
\(788\) | − | 14.2330i | − | 0.0180622i | ||||||
\(789\) | −8.11381 | − | 72.7179i | −0.0102837 | − | 0.0921647i | ||||
\(790\) | −1356.51 | −1.71710 | ||||||||
\(791\) | 441.314i | 0.557920i | ||||||||
\(792\) | −998.714 | + | 225.681i | −1.26100 | + | 0.284951i | ||||
\(793\) | −1561.50 | −1.96911 | ||||||||
\(794\) | − | 3.99143i | − | 0.00502699i | ||||||
\(795\) | 538.742 | − | 60.1124i | 0.677663 | − | 0.0756131i | ||||
\(796\) | 75.4131 | 0.0947400 | ||||||||
\(797\) | − | 259.737i | − | 0.325893i | −0.986635 | − | 0.162947i | \(-0.947900\pi\) | ||
0.986635 | − | 0.162947i | \(-0.0520998\pi\) | |||||||
\(798\) | 6.49792 | + | 58.2359i | 0.00814275 | + | 0.0729773i | ||||
\(799\) | 64.1994 | 0.0803497 | ||||||||
\(800\) | − | 13.4407i | − | 0.0168008i | ||||||
\(801\) | −43.3303 | − | 191.751i | −0.0540952 | − | 0.239389i | ||||
\(802\) | −779.520 | −0.971970 | ||||||||
\(803\) | − | 838.167i | − | 1.04379i | ||||||
\(804\) | 114.853 | − | 12.8152i | 0.142852 | − | 0.0159393i | ||||
\(805\) | 221.613 | 0.275296 | ||||||||
\(806\) | − | 1112.74i | − | 1.38057i | ||||||
\(807\) | −25.8535 | − | 231.705i | −0.0320365 | − | 0.287119i | ||||
\(808\) | 82.7226 | 0.102379 | ||||||||
\(809\) | − | 1444.65i | − | 1.78572i | −0.450333 | − | 0.892860i | \(-0.648695\pi\) | ||
0.450333 | − | 0.892860i | \(-0.351305\pi\) | |||||||
\(810\) | 802.635 | − | 382.265i | 0.990907 | − | 0.471932i | ||||
\(811\) | −513.040 | −0.632602 | −0.316301 | − | 0.948659i | \(-0.602441\pi\) | ||||
−0.316301 | + | 0.948659i | \(0.602441\pi\) | |||||||
\(812\) | 35.3155i | 0.0434920i | ||||||||
\(813\) | −1193.07 | + | 133.122i | −1.46750 | + | 0.163742i | ||||
\(814\) | −1973.88 | −2.42491 | ||||||||
\(815\) | 189.259i | 0.232220i | ||||||||
\(816\) | 28.9763 | + | 259.692i | 0.0355101 | + | 0.318250i | ||||
\(817\) | −53.9596 | −0.0660460 | ||||||||
\(818\) | 524.577i | 0.641293i | ||||||||
\(819\) | 440.648 | − | 99.5740i | 0.538032 | − | 0.121580i | ||||
\(820\) | 102.616 | 0.125141 | ||||||||
\(821\) | − | 775.725i | − | 0.944854i | −0.881370 | − | 0.472427i | \(-0.843378\pi\) | ||
0.881370 | − | 0.472427i | \(-0.156622\pi\) | |||||||
\(822\) | −1243.88 | + | 138.791i | −1.51323 | + | 0.168845i | ||||
\(823\) | −1214.21 | −1.47534 | −0.737671 | − | 0.675161i | \(-0.764074\pi\) | ||||
−0.737671 | + | 0.675161i | \(0.764074\pi\) | |||||||
\(824\) | 761.331i | 0.923946i | ||||||||
\(825\) | −8.18851 | − | 73.3874i | −0.00992547 | − | 0.0889544i | ||||
\(826\) | 43.9891 | 0.0532556 | ||||||||
\(827\) | − | 389.723i | − | 0.471249i | −0.971844 | − | 0.235625i | \(-0.924286\pi\) | ||
0.971844 | − | 0.235625i | \(-0.0757136\pi\) | |||||||
\(828\) | 16.7547 | + | 74.1450i | 0.0202351 | + | 0.0895472i | ||||
\(829\) | 11.2777 | 0.0136040 | 0.00680200 | − | 0.999977i | \(-0.497835\pi\) | ||||
0.00680200 | + | 0.999977i | \(0.497835\pi\) | |||||||
\(830\) | 1574.67i | 1.89719i | ||||||||
\(831\) | −1184.85 | + | 132.205i | −1.42582 | + | 0.159091i | ||||
\(832\) | −996.929 | −1.19823 | ||||||||
\(833\) | − | 203.925i | − | 0.244808i | ||||||
\(834\) | 57.7860 | + | 517.892i | 0.0692878 | + | 0.620974i | ||||
\(835\) | −472.366 | −0.565707 | ||||||||
\(836\) | 27.7841i | 0.0332345i | ||||||||
\(837\) | −715.194 | + | 247.659i | −0.854474 | + | 0.295889i | ||||
\(838\) | 1192.87 | 1.42348 | ||||||||
\(839\) | 548.329i | 0.653551i | 0.945102 | + | 0.326775i | \(0.105962\pi\) | ||||
−0.945102 | + | 0.326775i | \(0.894038\pi\) | |||||||
\(840\) | −305.662 | + | 34.1056i | −0.363884 | + | 0.0406019i | ||||
\(841\) | 225.430 | 0.268050 | ||||||||
\(842\) | − | 1398.28i | − | 1.66066i | ||||||
\(843\) | −27.8317 | − | 249.434i | −0.0330150 | − | 0.295889i | ||||
\(844\) | −147.749 | −0.175058 | ||||||||
\(845\) | 922.779i | 1.09205i | ||||||||
\(846\) | −245.601 | + | 55.4989i | −0.290309 | + | 0.0656016i | ||||
\(847\) | −312.685 | −0.369168 | ||||||||
\(848\) | − | 624.909i | − | 0.736921i | ||||||
\(849\) | 313.913 | − | 35.0262i | 0.369745 | − | 0.0412558i | ||||
\(850\) | −16.6096 | −0.0195407 | ||||||||
\(851\) | − | 961.651i | − | 1.13002i | ||||||
\(852\) | 4.87727 | + | 43.7113i | 0.00572450 | + | 0.0513043i | ||||
\(853\) | 6.08304 | 0.00713135 | 0.00356568 | − | 0.999994i | \(-0.498865\pi\) | ||||
0.00356568 | + | 0.999994i | \(0.498865\pi\) | |||||||
\(854\) | 479.423i | 0.561386i | ||||||||
\(855\) | 34.8936 | + | 154.416i | 0.0408112 | + | 0.180603i | ||||
\(856\) | −1176.25 | −1.37412 | ||||||||
\(857\) | − | 1092.14i | − | 1.27438i | −0.770708 | − | 0.637189i | \(-0.780097\pi\) | ||
0.770708 | − | 0.637189i | \(-0.219903\pi\) | |||||||
\(858\) | 1822.75 | − | 203.382i | 2.12442 | − | 0.237041i | ||||
\(859\) | −840.237 | −0.978157 | −0.489079 | − | 0.872240i | \(-0.662667\pi\) | ||||
−0.489079 | + | 0.872240i | \(0.662667\pi\) | |||||||
\(860\) | 43.1582i | 0.0501840i | ||||||||
\(861\) | −33.6760 | − | 301.813i | −0.0391127 | − | 0.350537i | ||||
\(862\) | 1714.50 | 1.98898 | ||||||||
\(863\) | 1387.20i | 1.60742i | 0.595020 | + | 0.803711i | \(0.297144\pi\) | ||||
−0.595020 | + | 0.803711i | \(0.702856\pi\) | |||||||
\(864\) | −74.2999 | − | 214.565i | −0.0859953 | − | 0.248339i | ||||
\(865\) | −166.740 | −0.192763 | ||||||||
\(866\) | − | 37.4957i | − | 0.0432976i | ||||||
\(867\) | −790.550 | + | 88.2089i | −0.911822 | + | 0.101740i | ||||
\(868\) | −39.9005 | −0.0459684 | ||||||||
\(869\) | 1903.49i | 2.19044i | ||||||||
\(870\) | 90.5901 | + | 811.891i | 0.104127 | + | 0.933208i | ||||
\(871\) | 1358.45 | 1.55965 | ||||||||
\(872\) | 789.436i | 0.905317i | ||||||||
\(873\) | −868.575 | + | 196.273i | −0.994931 | + | 0.224826i | ||||
\(874\) | −115.900 | −0.132609 | ||||||||
\(875\) | 324.785i | 0.371183i | ||||||||
\(876\) | 85.8259 | − | 9.57639i | 0.0979748 | − | 0.0109319i | ||||
\(877\) | −1158.78 | −1.32129 | −0.660647 | − | 0.750696i | \(-0.729718\pi\) | ||||
−0.660647 | + | 0.750696i | \(0.729718\pi\) | |||||||
\(878\) | 339.961i | 0.387199i | ||||||||
\(879\) | −17.9004 | − | 160.428i | −0.0203645 | − | 0.182512i | ||||
\(880\) | −1416.69 | −1.60988 | ||||||||
\(881\) | − | 1694.62i | − | 1.92352i | −0.273886 | − | 0.961762i | \(-0.588309\pi\) | ||
0.273886 | − | 0.961762i | \(-0.411691\pi\) | |||||||
\(882\) | 176.288 | + | 780.134i | 0.199873 | + | 0.884505i | ||||
\(883\) | 732.068 | 0.829069 | 0.414535 | − | 0.910034i | \(-0.363944\pi\) | ||||
0.414535 | + | 0.910034i | \(0.363944\pi\) | |||||||
\(884\) | − | 48.1810i | − | 0.0545034i | ||||||
\(885\) | 118.110 | − | 13.1786i | 0.133458 | − | 0.0148911i | ||||
\(886\) | 897.229 | 1.01267 | ||||||||
\(887\) | 558.719i | 0.629897i | 0.949109 | + | 0.314948i | \(0.101987\pi\) | ||||
−0.949109 | + | 0.314948i | \(0.898013\pi\) | |||||||
\(888\) | 147.995 | + | 1326.37i | 0.166661 | + | 1.49366i | ||||
\(889\) | 405.182 | 0.455772 | ||||||||
\(890\) | − | 239.736i | − | 0.269366i | ||||||
\(891\) | −536.405 | − | 1126.28i | −0.602026 | − | 1.26406i | ||||
\(892\) | 100.085 | 0.112203 | ||||||||
\(893\) | − | 44.8375i | − | 0.0502099i | ||||||
\(894\) | 1552.86 | − | 173.267i | 1.73698 | − | 0.193811i | ||||
\(895\) | −1369.81 | −1.53051 | ||||||||
\(896\) | 396.608i | 0.442643i | ||||||||
\(897\) | 99.0852 | + | 888.026i | 0.110463 | + | 0.989995i | ||||
\(898\) | 314.979 | 0.350757 | ||||||||
\(899\) | − | 695.490i | − | 0.773626i | ||||||
\(900\) | 7.42110 | − | 1.67696i | 0.00824567 | − | 0.00186329i | ||||
\(901\) | −171.099 | −0.189899 | ||||||||
\(902\) | − | 1232.91i | − | 1.36687i | ||||||
\(903\) | 126.937 | − | 14.1635i | 0.140572 | − | 0.0156849i | ||||
\(904\) | 1211.40 | 1.34005 | ||||||||
\(905\) | − | 1077.03i | − | 1.19009i | ||||||
\(906\) | −99.3258 | − | 890.182i | −0.109631 | − | 0.982540i | ||||
\(907\) | −528.797 | −0.583018 | −0.291509 | − | 0.956568i | \(-0.594157\pi\) | ||||
−0.291509 | + | 0.956568i | \(0.594157\pi\) | |||||||
\(908\) | 205.250i | 0.226046i | ||||||||
\(909\) | 22.2150 | + | 98.3087i | 0.0244389 | + | 0.108150i | ||||
\(910\) | 550.920 | 0.605406 | ||||||||
\(911\) | 367.309i | 0.403193i | 0.979469 | + | 0.201597i | \(0.0646130\pi\) | ||||
−0.979469 | + | 0.201597i | \(0.935387\pi\) | |||||||
\(912\) | 181.371 | − | 20.2373i | 0.198872 | − | 0.0221900i | ||||
\(913\) | 2209.62 | 2.42017 | ||||||||
\(914\) | 101.081i | 0.110592i | ||||||||
\(915\) | 143.630 | + | 1287.24i | 0.156972 | + | 1.40682i | ||||
\(916\) | −199.636 | −0.217943 | ||||||||
\(917\) | − | 661.851i | − | 0.721757i | ||||||
\(918\) | −265.154 | + | 91.8180i | −0.288838 | + | 0.100020i | ||||
\(919\) | 44.5474 | 0.0484737 | 0.0242369 | − | 0.999706i | \(-0.492284\pi\) | ||||
0.0242369 | + | 0.999706i | \(0.492284\pi\) | |||||||
\(920\) | − | 608.324i | − | 0.661222i | ||||||
\(921\) | −607.739 | + | 67.8110i | −0.659868 | + | 0.0736276i | ||||
\(922\) | 1085.73 | 1.17758 | ||||||||
\(923\) | 517.007i | 0.560137i | ||||||||
\(924\) | −7.29285 | − | 65.3603i | −0.00789269 | − | 0.0707362i | ||||
\(925\) | −96.2506 | −0.104055 | ||||||||
\(926\) | − | 1000.23i | − | 1.08016i | ||||||
\(927\) | −904.776 | + | 204.454i | −0.976026 | + | 0.220554i | ||||
\(928\) | 208.653 | 0.224842 | ||||||||
\(929\) | − | 804.136i | − | 0.865593i | −0.901492 | − | 0.432797i | \(-0.857527\pi\) | ||
0.901492 | − | 0.432797i | \(-0.142473\pi\) | |||||||
\(930\) | −917.299 | + | 102.352i | −0.986343 | + | 0.110055i | ||||
\(931\) | −142.423 | −0.152978 | ||||||||
\(932\) | − | 195.417i | − | 0.209674i | ||||||
\(933\) | −167.577 | − | 1501.86i | −0.179610 | − | 1.60971i | ||||
\(934\) | 1137.84 | 1.21825 | ||||||||
\(935\) | 387.888i | 0.414853i | ||||||||
\(936\) | −273.329 | − | 1209.57i | −0.292018 | − | 1.29228i | ||||
\(937\) | 1109.35 | 1.18394 | 0.591971 | − | 0.805959i | \(-0.298350\pi\) | ||||
0.591971 | + | 0.805959i | \(0.298350\pi\) | |||||||
\(938\) | − | 417.081i | − | 0.444649i | ||||||
\(939\) | −634.244 | + | 70.7684i | −0.675446 | + | 0.0753657i | ||||
\(940\) | −35.8621 | −0.0381512 | ||||||||
\(941\) | − | 839.747i | − | 0.892399i | −0.894934 | − | 0.446199i | \(-0.852777\pi\) | ||
0.894934 | − | 0.446199i | \(-0.147223\pi\) | |||||||
\(942\) | 71.5197 | + | 640.977i | 0.0759232 | + | 0.680442i | ||||
\(943\) | 600.662 | 0.636969 | ||||||||
\(944\) | − | 137.001i | − | 0.145128i | ||||||
\(945\) | −122.617 | − | 354.094i | −0.129753 | − | 0.374703i | ||||
\(946\) | 518.540 | 0.548140 | ||||||||
\(947\) | − | 1351.11i | − | 1.42673i | −0.700795 | − | 0.713363i | \(-0.747171\pi\) | ||
0.700795 | − | 0.713363i | \(-0.252829\pi\) | |||||||
\(948\) | −194.912 | + | 21.7481i | −0.205603 | + | 0.0229411i | ||||
\(949\) | 1015.13 | 1.06968 | ||||||||
\(950\) | 11.6003i | 0.0122109i | ||||||||
\(951\) | 153.215 | + | 1373.15i | 0.161109 | + | 1.44390i | ||||
\(952\) | 97.0753 | 0.101970 | ||||||||
\(953\) | 67.8838i | 0.0712317i | 0.999366 | + | 0.0356158i | \(0.0113393\pi\) | ||||
−0.999366 | + | 0.0356158i | \(0.988661\pi\) | |||||||
\(954\) | 654.555 | − | 147.911i | 0.686117 | − | 0.155043i | ||||
\(955\) | 181.882 | 0.190452 | ||||||||
\(956\) | − | 241.531i | − | 0.252648i | ||||||
\(957\) | 1139.27 | − | 127.119i | 1.19046 | − | 0.132830i | ||||
\(958\) | −849.225 | −0.886457 | ||||||||
\(959\) | 527.552i | 0.550106i | ||||||||
\(960\) | 91.6992 | + | 821.830i | 0.0955200 | + | 0.856073i | ||||
\(961\) | −175.214 | −0.182325 | ||||||||
\(962\) | − | 2390.62i | − | 2.48505i | ||||||
\(963\) | −315.879 | − | 1397.87i | −0.328016 | − | 1.45158i | ||||
\(964\) | 117.133 | 0.121507 | ||||||||
\(965\) | 128.311i | 0.132965i | ||||||||
\(966\) | 272.648 | − | 30.4218i | 0.282244 | − | 0.0314926i | ||||
\(967\) | −1412.99 | −1.46121 | −0.730604 | − | 0.682801i | \(-0.760761\pi\) | ||||
−0.730604 | + | 0.682801i | \(0.760761\pi\) | |||||||
\(968\) | 858.316i | 0.886690i | ||||||||
\(969\) | −5.54093 | − | 49.6591i | −0.00571819 | − | 0.0512478i | ||||
\(970\) | −1085.93 | −1.11952 | ||||||||
\(971\) | 652.618i | 0.672109i | 0.941842 | + | 0.336055i | \(0.109093\pi\) | ||||
−0.941842 | + | 0.336055i | \(0.890907\pi\) | |||||||
\(972\) | 109.199 | − | 67.7945i | 0.112345 | − | 0.0697475i | ||||
\(973\) | 219.648 | 0.225743 | ||||||||
\(974\) | 981.760i | 1.00797i | ||||||||
\(975\) | 88.8816 | − | 9.91734i | 0.0911606 | − | 0.0101716i | ||||
\(976\) | 1493.13 | 1.52984 | ||||||||
\(977\) | − | 1596.53i | − | 1.63412i | −0.576554 | − | 0.817059i | \(-0.695603\pi\) | ||
0.576554 | − | 0.817059i | \(-0.304397\pi\) | |||||||
\(978\) | 25.9805 | + | 232.843i | 0.0265649 | + | 0.238081i | ||||
\(979\) | −336.404 | −0.343620 | ||||||||
\(980\) | 113.913i | 0.116238i | ||||||||
\(981\) | −938.177 | + | 212.002i | −0.956347 | + | 0.216108i | ||||
\(982\) | 1404.69 | 1.43044 | ||||||||
\(983\) | − | 828.776i | − | 0.843109i | −0.906803 | − | 0.421554i | \(-0.861485\pi\) | ||
0.906803 | − | 0.421554i | \(-0.138515\pi\) | |||||||
\(984\) | −828.470 | + | 92.4401i | −0.841942 | + | 0.0939432i | ||||
\(985\) | −138.777 | −0.140890 | ||||||||
\(986\) | − | 257.848i | − | 0.261509i | ||||||
\(987\) | 11.7691 | + | 105.477i | 0.0119241 | + | 0.106867i | ||||
\(988\) | −33.6501 | −0.0340588 | ||||||||
\(989\) | 252.627i | 0.255437i | ||||||||
\(990\) | −335.320 | − | 1483.90i | −0.338707 | − | 1.49889i | ||||
\(991\) | −676.393 | −0.682535 | −0.341268 | − | 0.939966i | \(-0.610856\pi\) | ||||
−0.341268 | + | 0.939966i | \(0.610856\pi\) | |||||||
\(992\) | 235.743i | 0.237644i | ||||||||
\(993\) | 1236.68 | − | 137.988i | 1.24540 | − | 0.138961i | ||||
\(994\) | 158.735 | 0.159693 | ||||||||
\(995\) | − | 735.304i | − | 0.738999i | ||||||
\(996\) | 25.2458 | + | 226.259i | 0.0253472 | + | 0.227167i | ||||
\(997\) | 1544.78 | 1.54943 | 0.774715 | − | 0.632310i | \(-0.217893\pi\) | ||||
0.774715 | + | 0.632310i | \(0.217893\pi\) | |||||||
\(998\) | − | 279.028i | − | 0.279587i | ||||||
\(999\) | −1536.53 | + | 532.073i | −1.53807 | + | 0.532605i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.3.b.a.119.10 | ✓ | 38 | |
3.2 | odd | 2 | inner | 177.3.b.a.119.29 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.3.b.a.119.10 | ✓ | 38 | 1.1 | even | 1 | trivial | |
177.3.b.a.119.29 | yes | 38 | 3.2 | odd | 2 | inner |