Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,3,Mod(79,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.79");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.f (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: | \(4.25069212402\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 79.20 | ||
Character | \(\chi\) | \(=\) | 156.79 |
Dual form | 156.3.f.a.79.19 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.69411 | + | 1.06301i | 0.847055 | + | 0.531506i | ||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | 1.74001 | + | 3.60171i | 0.435004 | + | 0.900429i | ||||
\(5\) | 5.51671 | 1.10334 | 0.551671 | − | 0.834062i | \(-0.313990\pi\) | ||||
0.551671 | + | 0.834062i | \(0.313990\pi\) | |||||||
\(6\) | 1.84119 | − | 2.93428i | 0.306865 | − | 0.489047i | ||||
\(7\) | − | 1.01261i | − | 0.144659i | −0.997381 | − | 0.0723295i | \(-0.976957\pi\) | ||
0.997381 | − | 0.0723295i | \(-0.0230433\pi\) | |||||||
\(8\) | −0.880886 | + | 7.95135i | −0.110111 | + | 0.993919i | ||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | 9.34592 | + | 5.86433i | 0.934592 | + | 0.586433i | ||||
\(11\) | − | 5.63101i | − | 0.511910i | −0.966689 | − | 0.255955i | \(-0.917610\pi\) | ||
0.966689 | − | 0.255955i | \(-0.0823899\pi\) | |||||||
\(12\) | 6.23835 | − | 3.01379i | 0.519863 | − | 0.251150i | ||||
\(13\) | 3.60555 | 0.277350 | ||||||||
\(14\) | 1.07642 | − | 1.71548i | 0.0768871 | − | 0.122534i | ||||
\(15\) | − | 9.55523i | − | 0.637015i | ||||||
\(16\) | −9.94470 | + | 12.5341i | −0.621543 | + | 0.783380i | ||||
\(17\) | 8.22149 | 0.483617 | 0.241808 | − | 0.970324i | \(-0.422259\pi\) | ||||
0.241808 | + | 0.970324i | \(0.422259\pi\) | |||||||
\(18\) | −5.08233 | − | 3.18903i | −0.282352 | − | 0.177169i | ||||
\(19\) | 11.5444i | 0.607601i | 0.952736 | + | 0.303800i | \(0.0982556\pi\) | ||||
−0.952736 | + | 0.303800i | \(0.901744\pi\) | |||||||
\(20\) | 9.59916 | + | 19.8696i | 0.479958 | + | 0.993481i | ||||
\(21\) | −1.75390 | −0.0835189 | ||||||||
\(22\) | 5.98583 | − | 9.53955i | 0.272083 | − | 0.433616i | ||||
\(23\) | 5.25666i | 0.228550i | 0.993449 | + | 0.114275i | \(0.0364545\pi\) | ||||
−0.993449 | + | 0.114275i | \(0.963545\pi\) | |||||||
\(24\) | 13.7722 | + | 1.52574i | 0.573840 | + | 0.0635725i | ||||
\(25\) | 5.43413 | 0.217365 | ||||||||
\(26\) | 6.10820 | + | 3.83274i | 0.234931 | + | 0.147413i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | 3.64714 | − | 1.76196i | 0.130255 | − | 0.0629272i | ||||
\(29\) | −48.7699 | −1.68172 | −0.840860 | − | 0.541252i | \(-0.817951\pi\) | ||||
−0.840860 | + | 0.541252i | \(0.817951\pi\) | |||||||
\(30\) | 10.1573 | − | 16.1876i | 0.338577 | − | 0.539587i | ||||
\(31\) | − | 59.3391i | − | 1.91417i | −0.289815 | − | 0.957083i | \(-0.593594\pi\) | ||
0.289815 | − | 0.957083i | \(-0.406406\pi\) | |||||||
\(32\) | −30.1713 | + | 10.6628i | −0.942852 | + | 0.333212i | ||||
\(33\) | −9.75320 | −0.295551 | ||||||||
\(34\) | 13.9281 | + | 8.73953i | 0.409650 | + | 0.257045i | ||||
\(35\) | − | 5.58630i | − | 0.159608i | ||||||
\(36\) | −5.22004 | − | 10.8051i | −0.145001 | − | 0.300143i | ||||
\(37\) | −19.4001 | −0.524327 | −0.262164 | − | 0.965023i | \(-0.584436\pi\) | ||||
−0.262164 | + | 0.965023i | \(0.584436\pi\) | |||||||
\(38\) | −12.2718 | + | 19.5575i | −0.322943 | + | 0.514671i | ||||
\(39\) | − | 6.24500i | − | 0.160128i | ||||||
\(40\) | −4.85960 | + | 43.8653i | −0.121490 | + | 1.09663i | ||||
\(41\) | −65.6042 | −1.60010 | −0.800052 | − | 0.599931i | \(-0.795195\pi\) | ||||
−0.800052 | + | 0.599931i | \(0.795195\pi\) | |||||||
\(42\) | −2.97129 | − | 1.86441i | −0.0707451 | − | 0.0443908i | ||||
\(43\) | − | 14.0189i | − | 0.326021i | −0.986624 | − | 0.163010i | \(-0.947880\pi\) | ||
0.986624 | − | 0.163010i | \(-0.0521204\pi\) | |||||||
\(44\) | 20.2813 | − | 9.79804i | 0.460939 | − | 0.222683i | ||||
\(45\) | −16.5501 | −0.367781 | ||||||||
\(46\) | −5.58788 | + | 8.90535i | −0.121476 | + | 0.193595i | ||||
\(47\) | 9.34635i | 0.198859i | 0.995045 | + | 0.0994293i | \(0.0317017\pi\) | ||||
−0.995045 | + | 0.0994293i | \(0.968298\pi\) | |||||||
\(48\) | 21.7097 | + | 17.2247i | 0.452284 | + | 0.358848i | ||||
\(49\) | 47.9746 | 0.979074 | ||||||||
\(50\) | 9.20601 | + | 5.77654i | 0.184120 | + | 0.115531i | ||||
\(51\) | − | 14.2400i | − | 0.279216i | ||||||
\(52\) | 6.27371 | + | 12.9862i | 0.120648 | + | 0.249734i | ||||
\(53\) | −25.9791 | −0.490172 | −0.245086 | − | 0.969501i | \(-0.578816\pi\) | ||||
−0.245086 | + | 0.969501i | \(0.578816\pi\) | |||||||
\(54\) | −5.52357 | + | 8.80285i | −0.102288 | + | 0.163016i | ||||
\(55\) | − | 31.0647i | − | 0.564812i | ||||||
\(56\) | 8.05165 | + | 0.891997i | 0.143779 | + | 0.0159285i | ||||
\(57\) | 19.9955 | 0.350798 | ||||||||
\(58\) | −82.6216 | − | 51.8429i | −1.42451 | − | 0.893844i | ||||
\(59\) | 38.4414i | 0.651548i | 0.945448 | + | 0.325774i | \(0.105625\pi\) | ||||
−0.945448 | + | 0.325774i | \(0.894375\pi\) | |||||||
\(60\) | 34.4152 | − | 16.6262i | 0.573587 | − | 0.277104i | ||||
\(61\) | 72.1566 | 1.18289 | 0.591447 | − | 0.806344i | \(-0.298557\pi\) | ||||
0.591447 | + | 0.806344i | \(0.298557\pi\) | |||||||
\(62\) | 63.0781 | − | 100.527i | 1.01739 | − | 1.62140i | ||||
\(63\) | 3.03784i | 0.0482197i | ||||||||
\(64\) | −62.4481 | − | 14.0085i | −0.975751 | − | 0.218882i | ||||
\(65\) | 19.8908 | 0.306012 | ||||||||
\(66\) | −16.5230 | − | 10.3678i | −0.250348 | − | 0.157087i | ||||
\(67\) | − | 101.440i | − | 1.51403i | −0.653399 | − | 0.757013i | \(-0.726658\pi\) | ||
0.653399 | − | 0.757013i | \(-0.273342\pi\) | |||||||
\(68\) | 14.3055 | + | 29.6115i | 0.210375 | + | 0.435463i | ||||
\(69\) | 9.10480 | 0.131954 | ||||||||
\(70\) | 5.93829 | − | 9.46380i | 0.0848328 | − | 0.135197i | ||||
\(71\) | 80.3131i | 1.13117i | 0.824690 | + | 0.565585i | \(0.191350\pi\) | ||||
−0.824690 | + | 0.565585i | \(0.808650\pi\) | |||||||
\(72\) | 2.64266 | − | 23.8541i | 0.0367036 | − | 0.331306i | ||||
\(73\) | 5.60676 | 0.0768049 | 0.0384025 | − | 0.999262i | \(-0.487773\pi\) | ||||
0.0384025 | + | 0.999262i | \(0.487773\pi\) | |||||||
\(74\) | −32.8659 | − | 20.6225i | −0.444134 | − | 0.278683i | ||||
\(75\) | − | 9.41219i | − | 0.125496i | ||||||
\(76\) | −41.5797 | + | 20.0875i | −0.547101 | + | 0.264309i | ||||
\(77\) | −5.70204 | −0.0740524 | ||||||||
\(78\) | 6.63850 | − | 10.5797i | 0.0851090 | − | 0.135637i | ||||
\(79\) | 28.5754i | 0.361715i | 0.983509 | + | 0.180857i | \(0.0578872\pi\) | ||||
−0.983509 | + | 0.180857i | \(0.942113\pi\) | |||||||
\(80\) | −54.8620 | + | 69.1469i | −0.685775 | + | 0.864336i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −111.141 | − | 69.7380i | −1.35538 | − | 0.850464i | ||||
\(83\) | 103.937i | 1.25226i | 0.779720 | + | 0.626128i | \(0.215361\pi\) | ||||
−0.779720 | + | 0.626128i | \(0.784639\pi\) | |||||||
\(84\) | −3.05181 | − | 6.31704i | −0.0363310 | − | 0.0752028i | ||||
\(85\) | 45.3556 | 0.533595 | ||||||||
\(86\) | 14.9022 | − | 23.7495i | 0.173282 | − | 0.276157i | ||||
\(87\) | 84.4720i | 0.970942i | ||||||||
\(88\) | 44.7742 | + | 4.96028i | 0.508797 | + | 0.0563668i | ||||
\(89\) | 69.8749 | 0.785111 | 0.392555 | − | 0.919728i | \(-0.371591\pi\) | ||||
0.392555 | + | 0.919728i | \(0.371591\pi\) | |||||||
\(90\) | −28.0378 | − | 17.5930i | −0.311531 | − | 0.195478i | ||||
\(91\) | − | 3.65103i | − | 0.0401212i | ||||||
\(92\) | −18.9330 | + | 9.14666i | −0.205793 | + | 0.0994202i | ||||
\(93\) | −102.778 | −1.10514 | ||||||||
\(94\) | −9.93528 | + | 15.8337i | −0.105694 | + | 0.168444i | ||||
\(95\) | 63.6872i | 0.670392i | ||||||||
\(96\) | 18.4685 | + | 52.2582i | 0.192380 | + | 0.544356i | ||||
\(97\) | −27.6984 | −0.285550 | −0.142775 | − | 0.989755i | \(-0.545603\pi\) | ||||
−0.142775 | + | 0.989755i | \(0.545603\pi\) | |||||||
\(98\) | 81.2743 | + | 50.9975i | 0.829329 | + | 0.520383i | ||||
\(99\) | 16.8930i | 0.170637i | ||||||||
\(100\) | 9.45547 | + | 19.5722i | 0.0945547 | + | 0.195722i | ||||
\(101\) | −39.6436 | −0.392511 | −0.196255 | − | 0.980553i | \(-0.562878\pi\) | ||||
−0.196255 | + | 0.980553i | \(0.562878\pi\) | |||||||
\(102\) | 15.1373 | − | 24.1242i | 0.148405 | − | 0.236512i | ||||
\(103\) | 80.8239i | 0.784698i | 0.919816 | + | 0.392349i | \(0.128338\pi\) | ||||
−0.919816 | + | 0.392349i | \(0.871662\pi\) | |||||||
\(104\) | −3.17608 | + | 28.6690i | −0.0305392 | + | 0.275664i | ||||
\(105\) | −9.67575 | −0.0921500 | ||||||||
\(106\) | −44.0114 | − | 27.6161i | −0.415202 | − | 0.260529i | ||||
\(107\) | − | 97.0127i | − | 0.906661i | −0.891342 | − | 0.453331i | \(-0.850236\pi\) | ||
0.891342 | − | 0.453331i | \(-0.149764\pi\) | |||||||
\(108\) | −18.7151 | + | 9.04138i | −0.173288 | + | 0.0837165i | ||||
\(109\) | 211.083 | 1.93654 | 0.968271 | − | 0.249904i | \(-0.0803992\pi\) | ||||
0.968271 | + | 0.249904i | \(0.0803992\pi\) | |||||||
\(110\) | 33.0221 | − | 52.6270i | 0.300201 | − | 0.478427i | ||||
\(111\) | 33.6020i | 0.302721i | ||||||||
\(112\) | 12.6922 | + | 10.0701i | 0.113323 | + | 0.0899119i | ||||
\(113\) | 68.4234 | 0.605517 | 0.302759 | − | 0.953067i | \(-0.402092\pi\) | ||||
0.302759 | + | 0.953067i | \(0.402092\pi\) | |||||||
\(114\) | 33.8746 | + | 21.2555i | 0.297146 | + | 0.186451i | ||||
\(115\) | 28.9995i | 0.252169i | ||||||||
\(116\) | −84.8604 | − | 175.655i | −0.731555 | − | 1.51427i | ||||
\(117\) | −10.8167 | −0.0924500 | ||||||||
\(118\) | −40.8636 | + | 65.1239i | −0.346302 | + | 0.551897i | ||||
\(119\) | − | 8.32519i | − | 0.0699596i | ||||||
\(120\) | 75.9770 | + | 8.41707i | 0.633142 | + | 0.0701422i | ||||
\(121\) | 89.2917 | 0.737948 | ||||||||
\(122\) | 122.241 | + | 76.7032i | 1.00198 | + | 0.628715i | ||||
\(123\) | 113.630i | 0.923820i | ||||||||
\(124\) | 213.723 | − | 103.251i | 1.72357 | − | 0.832669i | ||||
\(125\) | −107.939 | −0.863514 | ||||||||
\(126\) | −3.22926 | + | 5.14643i | −0.0256290 | + | 0.0408447i | ||||
\(127\) | 47.0102i | 0.370159i | 0.982724 | + | 0.185080i | \(0.0592543\pi\) | ||||
−0.982724 | + | 0.185080i | \(0.940746\pi\) | |||||||
\(128\) | −90.9027 | − | 90.1149i | −0.710178 | − | 0.704023i | ||||
\(129\) | −24.2814 | −0.188228 | ||||||||
\(130\) | 33.6972 | + | 21.1441i | 0.259209 | + | 0.162647i | ||||
\(131\) | − | 85.1555i | − | 0.650042i | −0.945707 | − | 0.325021i | \(-0.894629\pi\) | ||
0.945707 | − | 0.325021i | \(-0.105371\pi\) | |||||||
\(132\) | −16.9707 | − | 35.1282i | −0.128566 | − | 0.266123i | ||||
\(133\) | 11.6900 | 0.0878949 | ||||||||
\(134\) | 107.832 | − | 171.850i | 0.804714 | − | 1.28246i | ||||
\(135\) | 28.6657i | 0.212338i | ||||||||
\(136\) | −7.24220 | + | 65.3720i | −0.0532514 | + | 0.480676i | ||||
\(137\) | 199.295 | 1.45471 | 0.727354 | − | 0.686263i | \(-0.240750\pi\) | ||||
0.727354 | + | 0.686263i | \(0.240750\pi\) | |||||||
\(138\) | 15.4245 | + | 9.67850i | 0.111772 | + | 0.0701341i | ||||
\(139\) | − | 68.3395i | − | 0.491651i | −0.969314 | − | 0.245825i | \(-0.920941\pi\) | ||
0.969314 | − | 0.245825i | \(-0.0790590\pi\) | |||||||
\(140\) | 20.1202 | − | 9.72024i | 0.143716 | − | 0.0694303i | ||||
\(141\) | 16.1884 | 0.114811 | ||||||||
\(142\) | −85.3737 | + | 136.059i | −0.601223 | + | 0.958163i | ||||
\(143\) | − | 20.3029i | − | 0.141978i | ||||||
\(144\) | 29.8341 | − | 37.6022i | 0.207181 | − | 0.261127i | ||||
\(145\) | −269.050 | −1.85551 | ||||||||
\(146\) | 9.49847 | + | 5.96005i | 0.0650580 | + | 0.0408223i | ||||
\(147\) | − | 83.0945i | − | 0.565269i | ||||||
\(148\) | −33.7565 | − | 69.8737i | −0.228084 | − | 0.472119i | ||||
\(149\) | 158.760 | 1.06550 | 0.532751 | − | 0.846272i | \(-0.321158\pi\) | ||||
0.532751 | + | 0.846272i | \(0.321158\pi\) | |||||||
\(150\) | 10.0053 | − | 15.9453i | 0.0667017 | − | 0.106302i | ||||
\(151\) | 262.554i | 1.73877i | 0.494135 | + | 0.869385i | \(0.335485\pi\) | ||||
−0.494135 | + | 0.869385i | \(0.664515\pi\) | |||||||
\(152\) | −91.7937 | − | 10.1693i | −0.603906 | − | 0.0669034i | ||||
\(153\) | −24.6645 | −0.161206 | ||||||||
\(154\) | −9.65987 | − | 6.06133i | −0.0627265 | − | 0.0393593i | ||||
\(155\) | − | 327.357i | − | 2.11198i | ||||||
\(156\) | 22.4927 | − | 10.8664i | 0.144184 | − | 0.0696563i | ||||
\(157\) | 112.088 | 0.713935 | 0.356967 | − | 0.934117i | \(-0.383811\pi\) | ||||
0.356967 | + | 0.934117i | \(0.383811\pi\) | |||||||
\(158\) | −30.3760 | + | 48.4099i | −0.192253 | + | 0.306392i | ||||
\(159\) | 44.9971i | 0.283001i | ||||||||
\(160\) | −166.446 | + | 58.8235i | −1.04029 | + | 0.367647i | ||||
\(161\) | 5.32296 | 0.0330619 | ||||||||
\(162\) | 15.2470 | + | 9.56710i | 0.0941172 | + | 0.0590562i | ||||
\(163\) | 7.91246i | 0.0485427i | 0.999705 | + | 0.0242714i | \(0.00772657\pi\) | ||||
−0.999705 | + | 0.0242714i | \(0.992273\pi\) | |||||||
\(164\) | −114.152 | − | 236.288i | −0.696051 | − | 1.44078i | ||||
\(165\) | −53.8056 | −0.326095 | ||||||||
\(166\) | −110.486 | + | 176.081i | −0.665581 | + | 1.06073i | ||||
\(167\) | 244.909i | 1.46652i | 0.679949 | + | 0.733260i | \(0.262002\pi\) | ||||
−0.679949 | + | 0.733260i | \(0.737998\pi\) | |||||||
\(168\) | 1.54498 | − | 13.9459i | 0.00919633 | − | 0.0830111i | ||||
\(169\) | 13.0000 | 0.0769231 | ||||||||
\(170\) | 76.8374 | + | 48.2135i | 0.451984 | + | 0.283609i | ||||
\(171\) | − | 34.6332i | − | 0.202534i | ||||||
\(172\) | 50.4920 | − | 24.3931i | 0.293558 | − | 0.141820i | ||||
\(173\) | −168.979 | −0.976759 | −0.488379 | − | 0.872631i | \(-0.662412\pi\) | ||||
−0.488379 | + | 0.872631i | \(0.662412\pi\) | |||||||
\(174\) | −89.7946 | + | 143.105i | −0.516061 | + | 0.822441i | ||||
\(175\) | − | 5.50267i | − | 0.0314438i | ||||||
\(176\) | 70.5795 | + | 55.9987i | 0.401020 | + | 0.318174i | ||||
\(177\) | 66.5824 | 0.376172 | ||||||||
\(178\) | 118.376 | + | 74.2778i | 0.665032 | + | 0.417291i | ||||
\(179\) | − | 124.469i | − | 0.695355i | −0.937614 | − | 0.347678i | \(-0.886970\pi\) | ||
0.937614 | − | 0.347678i | \(-0.113030\pi\) | |||||||
\(180\) | −28.7975 | − | 59.6089i | −0.159986 | − | 0.331160i | ||||
\(181\) | −232.729 | −1.28579 | −0.642897 | − | 0.765952i | \(-0.722268\pi\) | ||||
−0.642897 | + | 0.765952i | \(0.722268\pi\) | |||||||
\(182\) | 3.88108 | − | 6.18524i | 0.0213246 | − | 0.0339848i | ||||
\(183\) | − | 124.979i | − | 0.682944i | ||||||
\(184\) | −41.7975 | − | 4.63052i | −0.227161 | − | 0.0251659i | ||||
\(185\) | −107.025 | −0.578513 | ||||||||
\(186\) | −174.118 | − | 109.255i | −0.936117 | − | 0.587390i | ||||
\(187\) | − | 46.2953i | − | 0.247568i | ||||||
\(188\) | −33.6629 | + | 16.2628i | −0.179058 | + | 0.0865042i | ||||
\(189\) | 5.26169 | 0.0278396 | ||||||||
\(190\) | −67.7002 | + | 107.893i | −0.356317 | + | 0.567859i | ||||
\(191\) | − | 278.249i | − | 1.45680i | −0.685150 | − | 0.728402i | \(-0.740264\pi\) | ||
0.685150 | − | 0.728402i | \(-0.259736\pi\) | |||||||
\(192\) | −24.2634 | + | 108.163i | −0.126372 | + | 0.563350i | ||||
\(193\) | −6.91306 | −0.0358190 | −0.0179095 | − | 0.999840i | \(-0.505701\pi\) | ||||
−0.0179095 | + | 0.999840i | \(0.505701\pi\) | |||||||
\(194\) | −46.9241 | − | 29.4437i | −0.241877 | − | 0.151772i | ||||
\(195\) | − | 34.4519i | − | 0.176676i | ||||||
\(196\) | 83.4765 | + | 172.791i | 0.425901 | + | 0.881586i | ||||
\(197\) | −278.468 | −1.41354 | −0.706771 | − | 0.707443i | \(-0.749849\pi\) | ||||
−0.706771 | + | 0.707443i | \(0.749849\pi\) | |||||||
\(198\) | −17.9575 | + | 28.6187i | −0.0906944 | + | 0.144539i | ||||
\(199\) | 148.075i | 0.744097i | 0.928213 | + | 0.372049i | \(0.121345\pi\) | ||||
−0.928213 | + | 0.372049i | \(0.878655\pi\) | |||||||
\(200\) | −4.78685 | + | 43.2087i | −0.0239343 | + | 0.216043i | ||||
\(201\) | −175.699 | −0.874124 | ||||||||
\(202\) | −67.1606 | − | 42.1416i | −0.332478 | − | 0.208622i | ||||
\(203\) | 49.3850i | 0.243276i | ||||||||
\(204\) | 51.2885 | − | 24.7779i | 0.251414 | − | 0.121460i | ||||
\(205\) | −361.920 | −1.76546 | ||||||||
\(206\) | −85.9167 | + | 136.925i | −0.417072 | + | 0.664683i | ||||
\(207\) | − | 15.7700i | − | 0.0761834i | ||||||
\(208\) | −35.8561 | + | 45.1922i | −0.172385 | + | 0.217270i | ||||
\(209\) | 65.0067 | 0.311037 | ||||||||
\(210\) | −16.3918 | − | 10.2854i | −0.0780561 | − | 0.0489782i | ||||
\(211\) | − | 390.419i | − | 1.85033i | −0.379568 | − | 0.925164i | \(-0.623927\pi\) | ||
0.379568 | − | 0.925164i | \(-0.376073\pi\) | |||||||
\(212\) | −45.2040 | − | 93.5693i | −0.213227 | − | 0.441365i | ||||
\(213\) | 139.106 | 0.653081 | ||||||||
\(214\) | 103.126 | − | 164.350i | 0.481895 | − | 0.767992i | ||||
\(215\) | − | 77.3382i | − | 0.359712i | ||||||
\(216\) | −41.3165 | − | 4.57722i | −0.191280 | − | 0.0211908i | ||||
\(217\) | −60.0876 | −0.276901 | ||||||||
\(218\) | 357.598 | + | 224.384i | 1.64036 | + | 1.02928i | ||||
\(219\) | − | 9.71120i | − | 0.0443434i | ||||||
\(220\) | 111.886 | − | 54.0530i | 0.508573 | − | 0.245695i | ||||
\(221\) | 29.6430 | 0.134131 | ||||||||
\(222\) | −35.7193 | + | 56.9254i | −0.160898 | + | 0.256421i | ||||
\(223\) | − | 317.454i | − | 1.42356i | −0.702403 | − | 0.711779i | \(-0.747890\pi\) | ||
0.702403 | − | 0.711779i | \(-0.252110\pi\) | |||||||
\(224\) | 10.7973 | + | 30.5518i | 0.0482021 | + | 0.136392i | ||||
\(225\) | −16.3024 | −0.0724551 | ||||||||
\(226\) | 115.917 | + | 72.7349i | 0.512906 | + | 0.321836i | ||||
\(227\) | − | 428.142i | − | 1.88609i | −0.332668 | − | 0.943044i | \(-0.607949\pi\) | ||
0.332668 | − | 0.943044i | \(-0.392051\pi\) | |||||||
\(228\) | 34.7925 | + | 72.0181i | 0.152599 | + | 0.315869i | ||||
\(229\) | 409.617 | 1.78872 | 0.894361 | − | 0.447345i | \(-0.147631\pi\) | ||||
0.894361 | + | 0.447345i | \(0.147631\pi\) | |||||||
\(230\) | −30.8268 | + | 49.1283i | −0.134029 | + | 0.213601i | ||||
\(231\) | 9.87622i | 0.0427542i | ||||||||
\(232\) | 42.9607 | − | 387.787i | 0.185176 | − | 1.67149i | ||||
\(233\) | −84.1548 | −0.361180 | −0.180590 | − | 0.983559i | \(-0.557801\pi\) | ||||
−0.180590 | + | 0.983559i | \(0.557801\pi\) | |||||||
\(234\) | −18.3246 | − | 11.4982i | −0.0783102 | − | 0.0491377i | ||||
\(235\) | 51.5611i | 0.219409i | ||||||||
\(236\) | −138.455 | + | 66.8885i | −0.586673 | + | 0.283426i | ||||
\(237\) | 49.4941 | 0.208836 | ||||||||
\(238\) | 8.84977 | − | 14.1038i | 0.0371839 | − | 0.0592596i | ||||
\(239\) | 243.858i | 1.02033i | 0.860078 | + | 0.510163i | \(0.170415\pi\) | ||||
−0.860078 | + | 0.510163i | \(0.829585\pi\) | |||||||
\(240\) | 119.766 | + | 95.0238i | 0.499025 | + | 0.395933i | ||||
\(241\) | −222.925 | −0.925002 | −0.462501 | − | 0.886619i | \(-0.653048\pi\) | ||||
−0.462501 | + | 0.886619i | \(0.653048\pi\) | |||||||
\(242\) | 151.270 | + | 94.9181i | 0.625082 | + | 0.392223i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | 125.553 | + | 259.887i | 0.514563 | + | 1.06511i | ||||
\(245\) | 264.662 | 1.08025 | ||||||||
\(246\) | −120.790 | + | 192.501i | −0.491015 | + | 0.782526i | ||||
\(247\) | 41.6240i | 0.168518i | ||||||||
\(248\) | 471.826 | + | 52.2710i | 1.90253 | + | 0.210770i | ||||
\(249\) | 180.025 | 0.722990 | ||||||||
\(250\) | −182.861 | − | 114.741i | −0.731444 | − | 0.458963i | ||||
\(251\) | 441.458i | 1.75880i | 0.476085 | + | 0.879399i | \(0.342055\pi\) | ||||
−0.476085 | + | 0.879399i | \(0.657945\pi\) | |||||||
\(252\) | −10.9414 | + | 5.28589i | −0.0434184 | + | 0.0209757i | ||||
\(253\) | 29.6003 | 0.116997 | ||||||||
\(254\) | −49.9724 | + | 79.6405i | −0.196742 | + | 0.313545i | ||||
\(255\) | − | 78.5582i | − | 0.308071i | ||||||
\(256\) | −58.2061 | − | 249.295i | −0.227367 | − | 0.973809i | ||||
\(257\) | −289.124 | −1.12500 | −0.562498 | − | 0.826799i | \(-0.690160\pi\) | ||||
−0.562498 | + | 0.826799i | \(0.690160\pi\) | |||||||
\(258\) | −41.1354 | − | 25.8114i | −0.159439 | − | 0.100044i | ||||
\(259\) | 19.6448i | 0.0758487i | ||||||||
\(260\) | 34.6103 | + | 71.6410i | 0.133116 | + | 0.275542i | ||||
\(261\) | 146.310 | 0.560574 | ||||||||
\(262\) | 90.5213 | − | 144.263i | 0.345501 | − | 0.550621i | ||||
\(263\) | 411.852i | 1.56598i | 0.622037 | + | 0.782988i | \(0.286305\pi\) | ||||
−0.622037 | + | 0.782988i | \(0.713695\pi\) | |||||||
\(264\) | 8.59146 | − | 77.5511i | 0.0325434 | − | 0.293754i | ||||
\(265\) | −143.319 | −0.540827 | ||||||||
\(266\) | 19.8042 | + | 12.4266i | 0.0744518 | + | 0.0467166i | ||||
\(267\) | − | 121.027i | − | 0.453284i | ||||||
\(268\) | 365.357 | − | 176.507i | 1.36327 | − | 0.658607i | ||||
\(269\) | −17.9467 | −0.0667165 | −0.0333583 | − | 0.999443i | \(-0.510620\pi\) | ||||
−0.0333583 | + | 0.999443i | \(0.510620\pi\) | |||||||
\(270\) | −30.4719 | + | 48.5628i | −0.112859 | + | 0.179862i | ||||
\(271\) | 323.464i | 1.19359i | 0.802392 | + | 0.596797i | \(0.203560\pi\) | ||||
−0.802392 | + | 0.596797i | \(0.796440\pi\) | |||||||
\(272\) | −81.7602 | + | 103.049i | −0.300589 | + | 0.378856i | ||||
\(273\) | −6.32377 | −0.0231640 | ||||||||
\(274\) | 337.627 | + | 211.853i | 1.23222 | + | 0.773185i | ||||
\(275\) | − | 30.5997i | − | 0.111271i | ||||||
\(276\) | 15.8425 | + | 32.7929i | 0.0574003 | + | 0.118815i | ||||
\(277\) | 179.377 | 0.647571 | 0.323786 | − | 0.946130i | \(-0.395044\pi\) | ||||
0.323786 | + | 0.946130i | \(0.395044\pi\) | |||||||
\(278\) | 72.6456 | − | 115.775i | 0.261315 | − | 0.416455i | ||||
\(279\) | 178.017i | 0.638055i | ||||||||
\(280\) | 44.4186 | + | 4.92089i | 0.158638 | + | 0.0175746i | ||||
\(281\) | 437.349 | 1.55640 | 0.778201 | − | 0.628016i | \(-0.216133\pi\) | ||||
0.778201 | + | 0.628016i | \(0.216133\pi\) | |||||||
\(282\) | 27.4249 | + | 17.2084i | 0.0972512 | + | 0.0610227i | ||||
\(283\) | − | 492.934i | − | 1.74182i | −0.491447 | − | 0.870908i | \(-0.663532\pi\) | ||
0.491447 | − | 0.870908i | \(-0.336468\pi\) | |||||||
\(284\) | −289.265 | + | 139.746i | −1.01854 | + | 0.492063i | ||||
\(285\) | 110.310 | 0.387051 | ||||||||
\(286\) | 21.5822 | − | 34.3953i | 0.0754623 | − | 0.120263i | ||||
\(287\) | 66.4317i | 0.231469i | ||||||||
\(288\) | 90.5138 | − | 31.9883i | 0.314284 | − | 0.111071i | ||||
\(289\) | −221.407 | −0.766115 | ||||||||
\(290\) | −455.800 | − | 286.003i | −1.57172 | − | 0.986216i | ||||
\(291\) | 47.9750i | 0.164863i | ||||||||
\(292\) | 9.75585 | + | 20.1940i | 0.0334104 | + | 0.0691574i | ||||
\(293\) | 61.8712 | 0.211164 | 0.105582 | − | 0.994411i | \(-0.466329\pi\) | ||||
0.105582 | + | 0.994411i | \(0.466329\pi\) | |||||||
\(294\) | 88.3303 | − | 140.771i | 0.300443 | − | 0.478813i | ||||
\(295\) | 212.070i | 0.718881i | ||||||||
\(296\) | 17.0893 | − | 154.257i | 0.0577341 | − | 0.521139i | ||||
\(297\) | 29.2596 | 0.0985171 | ||||||||
\(298\) | 268.956 | + | 168.763i | 0.902538 | + | 0.566320i | ||||
\(299\) | 18.9531i | 0.0633885i | ||||||||
\(300\) | 33.9000 | − | 16.3774i | 0.113000 | − | 0.0545912i | ||||
\(301\) | −14.1957 | −0.0471618 | ||||||||
\(302\) | −279.098 | + | 444.796i | −0.924166 | + | 1.47283i | ||||
\(303\) | 68.6647i | 0.226616i | ||||||||
\(304\) | −144.699 | − | 114.806i | −0.475982 | − | 0.377650i | ||||
\(305\) | 398.067 | 1.30514 | ||||||||
\(306\) | −41.7843 | − | 26.2186i | −0.136550 | − | 0.0856817i | ||||
\(307\) | 446.721i | 1.45512i | 0.686045 | + | 0.727559i | \(0.259345\pi\) | ||||
−0.686045 | + | 0.727559i | \(0.740655\pi\) | |||||||
\(308\) | −9.92163 | − | 20.5371i | −0.0322131 | − | 0.0666789i | ||||
\(309\) | 139.991 | 0.453046 | ||||||||
\(310\) | 347.984 | − | 554.579i | 1.12253 | − | 1.78896i | ||||
\(311\) | − | 248.932i | − | 0.800423i | −0.916423 | − | 0.400211i | \(-0.868937\pi\) | ||
0.916423 | − | 0.400211i | \(-0.131063\pi\) | |||||||
\(312\) | 49.6562 | + | 5.50113i | 0.159154 | + | 0.0176318i | ||||
\(313\) | −56.7003 | −0.181151 | −0.0905756 | − | 0.995890i | \(-0.528871\pi\) | ||||
−0.0905756 | + | 0.995890i | \(0.528871\pi\) | |||||||
\(314\) | 189.889 | + | 119.151i | 0.604742 | + | 0.379460i | ||||
\(315\) | 16.7589i | 0.0532028i | ||||||||
\(316\) | −102.921 | + | 49.7217i | −0.325698 | + | 0.157347i | ||||
\(317\) | −57.8199 | −0.182397 | −0.0911986 | − | 0.995833i | \(-0.529070\pi\) | ||||
−0.0911986 | + | 0.995833i | \(0.529070\pi\) | |||||||
\(318\) | −47.8324 | + | 76.2301i | −0.150416 | + | 0.239717i | ||||
\(319\) | 274.624i | 0.860890i | ||||||||
\(320\) | −344.508 | − | 77.2808i | −1.07659 | − | 0.241502i | ||||
\(321\) | −168.031 | −0.523461 | ||||||||
\(322\) | 9.01768 | + | 5.65836i | 0.0280052 | + | 0.0175726i | ||||
\(323\) | 94.9123i | 0.293846i | ||||||||
\(324\) | 15.6601 | + | 32.4154i | 0.0483337 | + | 0.100048i | ||||
\(325\) | 19.5930 | 0.0602863 | ||||||||
\(326\) | −8.41103 | + | 13.4046i | −0.0258007 | + | 0.0411183i | ||||
\(327\) | − | 365.606i | − | 1.11806i | ||||||
\(328\) | 57.7899 | − | 521.642i | 0.176189 | − | 1.59037i | ||||
\(329\) | 9.46424 | 0.0287667 | ||||||||
\(330\) | −91.1526 | − | 57.1959i | −0.276220 | − | 0.173321i | ||||
\(331\) | − | 49.0850i | − | 0.148293i | −0.997247 | − | 0.0741465i | \(-0.976377\pi\) | ||
0.997247 | − | 0.0741465i | \(-0.0236232\pi\) | |||||||
\(332\) | −374.352 | + | 180.852i | −1.12757 | + | 0.544736i | ||||
\(333\) | 58.2003 | 0.174776 | ||||||||
\(334\) | −260.341 | + | 414.902i | −0.779463 | + | 1.24222i | ||||
\(335\) | − | 559.614i | − | 1.67049i | ||||||
\(336\) | 17.4420 | − | 21.9835i | 0.0519106 | − | 0.0654270i | ||||
\(337\) | −402.253 | −1.19363 | −0.596815 | − | 0.802379i | \(-0.703567\pi\) | ||||
−0.596815 | + | 0.802379i | \(0.703567\pi\) | |||||||
\(338\) | 22.0234 | + | 13.8191i | 0.0651581 | + | 0.0408850i | ||||
\(339\) | − | 118.513i | − | 0.349596i | ||||||
\(340\) | 78.9194 | + | 163.358i | 0.232116 | + | 0.480464i | ||||
\(341\) | −334.139 | −0.979881 | ||||||||
\(342\) | 36.8155 | − | 58.6725i | 0.107648 | − | 0.171557i | ||||
\(343\) | − | 98.1978i | − | 0.286291i | ||||||
\(344\) | 111.469 | + | 12.3490i | 0.324038 | + | 0.0358984i | ||||
\(345\) | 50.2286 | 0.145590 | ||||||||
\(346\) | −286.269 | − | 179.627i | −0.827368 | − | 0.519153i | ||||
\(347\) | 81.1956i | 0.233993i | 0.993132 | + | 0.116997i | \(0.0373266\pi\) | ||||
−0.993132 | + | 0.116997i | \(0.962673\pi\) | |||||||
\(348\) | −304.244 | + | 146.982i | −0.874264 | + | 0.422363i | ||||
\(349\) | 230.981 | 0.661835 | 0.330918 | − | 0.943660i | \(-0.392642\pi\) | ||||
0.330918 | + | 0.943660i | \(0.392642\pi\) | |||||||
\(350\) | 5.84940 | − | 9.32213i | 0.0167126 | − | 0.0266347i | ||||
\(351\) | 18.7350i | 0.0533761i | ||||||||
\(352\) | 60.0422 | + | 169.895i | 0.170574 | + | 0.482655i | ||||
\(353\) | 274.410 | 0.777366 | 0.388683 | − | 0.921372i | \(-0.372930\pi\) | ||||
0.388683 | + | 0.921372i | \(0.372930\pi\) | |||||||
\(354\) | 112.798 | + | 70.7778i | 0.318638 | + | 0.199937i | ||||
\(355\) | 443.064i | 1.24807i | ||||||||
\(356\) | 121.583 | + | 251.669i | 0.341526 | + | 0.706936i | ||||
\(357\) | −14.4196 | −0.0403912 | ||||||||
\(358\) | 132.311 | − | 210.863i | 0.369585 | − | 0.589004i | ||||
\(359\) | 537.223i | 1.49644i | 0.663450 | + | 0.748221i | \(0.269092\pi\) | ||||
−0.663450 | + | 0.748221i | \(0.730908\pi\) | |||||||
\(360\) | 14.5788 | − | 131.596i | 0.0404966 | − | 0.365545i | ||||
\(361\) | 227.726 | 0.630821 | ||||||||
\(362\) | −394.268 | − | 247.393i | −1.08914 | − | 0.683407i | ||||
\(363\) | − | 154.658i | − | 0.426054i | ||||||
\(364\) | 13.1500 | − | 6.35284i | 0.0361263 | − | 0.0174529i | ||||
\(365\) | 30.9309 | 0.0847422 | ||||||||
\(366\) | 132.854 | − | 211.728i | 0.362989 | − | 0.578491i | ||||
\(367\) | − | 567.303i | − | 1.54578i | −0.634537 | − | 0.772892i | \(-0.718809\pi\) | ||
0.634537 | − | 0.772892i | \(-0.281191\pi\) | |||||||
\(368\) | −65.8873 | − | 52.2759i | −0.179042 | − | 0.142054i | ||||
\(369\) | 196.813 | 0.533368 | ||||||||
\(370\) | −181.312 | − | 113.769i | −0.490032 | − | 0.307483i | ||||
\(371\) | 26.3068i | 0.0709077i | ||||||||
\(372\) | −178.836 | − | 370.178i | −0.480742 | − | 0.995103i | ||||
\(373\) | −511.015 | −1.37001 | −0.685007 | − | 0.728537i | \(-0.740201\pi\) | ||||
−0.685007 | + | 0.728537i | \(0.740201\pi\) | |||||||
\(374\) | 49.2124 | − | 78.4293i | 0.131584 | − | 0.209704i | ||||
\(375\) | 186.956i | 0.498550i | ||||||||
\(376\) | −74.3162 | − | 8.23307i | −0.197649 | − | 0.0218965i | ||||
\(377\) | −175.842 | −0.466425 | ||||||||
\(378\) | 8.91388 | + | 5.59324i | 0.0235817 | + | 0.0147969i | ||||
\(379\) | 245.900i | 0.648813i | 0.945918 | + | 0.324406i | \(0.105164\pi\) | ||||
−0.945918 | + | 0.324406i | \(0.894836\pi\) | |||||||
\(380\) | −229.383 | + | 110.817i | −0.603640 | + | 0.291623i | ||||
\(381\) | 81.4241 | 0.213712 | ||||||||
\(382\) | 295.782 | − | 471.385i | 0.774299 | − | 1.23399i | ||||
\(383\) | 277.986i | 0.725812i | 0.931826 | + | 0.362906i | \(0.118215\pi\) | ||||
−0.931826 | + | 0.362906i | \(0.881785\pi\) | |||||||
\(384\) | −156.084 | + | 157.448i | −0.406468 | + | 0.410021i | ||||
\(385\) | −31.4565 | −0.0817052 | ||||||||
\(386\) | −11.7115 | − | 7.34866i | −0.0303406 | − | 0.0190380i | ||||
\(387\) | 42.0566i | 0.108674i | ||||||||
\(388\) | −48.1956 | − | 99.7617i | −0.124215 | − | 0.257118i | ||||
\(389\) | 132.554 | 0.340756 | 0.170378 | − | 0.985379i | \(-0.445501\pi\) | ||||
0.170378 | + | 0.985379i | \(0.445501\pi\) | |||||||
\(390\) | 36.6227 | − | 58.3652i | 0.0939044 | − | 0.149654i | ||||
\(391\) | 43.2175i | 0.110531i | ||||||||
\(392\) | −42.2602 | + | 381.463i | −0.107807 | + | 0.973120i | ||||
\(393\) | −147.494 | −0.375302 | ||||||||
\(394\) | −471.755 | − | 296.014i | −1.19735 | − | 0.751305i | ||||
\(395\) | 157.643i | 0.399095i | ||||||||
\(396\) | −60.8439 | + | 29.3941i | −0.153646 | + | 0.0742276i | ||||
\(397\) | −469.545 | −1.18273 | −0.591366 | − | 0.806403i | \(-0.701411\pi\) | ||||
−0.591366 | + | 0.806403i | \(0.701411\pi\) | |||||||
\(398\) | −157.406 | + | 250.856i | −0.395492 | + | 0.630291i | ||||
\(399\) | − | 20.2477i | − | 0.0507462i | ||||||
\(400\) | −54.0408 | + | 68.1118i | −0.135102 | + | 0.170279i | ||||
\(401\) | 169.002 | 0.421451 | 0.210726 | − | 0.977545i | \(-0.432417\pi\) | ||||
0.210726 | + | 0.977545i | \(0.432417\pi\) | |||||||
\(402\) | −297.653 | − | 186.770i | −0.740431 | − | 0.464602i | ||||
\(403\) | − | 213.950i | − | 0.530894i | ||||||
\(404\) | −68.9804 | − | 142.785i | −0.170744 | − | 0.353428i | ||||
\(405\) | 49.6504 | 0.122594 | ||||||||
\(406\) | −52.4968 | + | 83.6637i | −0.129303 | + | 0.206068i | ||||
\(407\) | 109.242i | 0.268409i | ||||||||
\(408\) | 113.228 | + | 12.5439i | 0.277519 | + | 0.0307447i | ||||
\(409\) | 330.022 | 0.806900 | 0.403450 | − | 0.915002i | \(-0.367811\pi\) | ||||
0.403450 | + | 0.915002i | \(0.367811\pi\) | |||||||
\(410\) | −613.132 | − | 384.725i | −1.49544 | − | 0.938353i | ||||
\(411\) | − | 345.189i | − | 0.839876i | ||||||
\(412\) | −291.105 | + | 140.635i | −0.706565 | + | 0.341347i | ||||
\(413\) | 38.9262 | 0.0942523 | ||||||||
\(414\) | 16.7637 | − | 26.7161i | 0.0404919 | − | 0.0645315i | ||||
\(415\) | 573.392i | 1.38167i | ||||||||
\(416\) | −108.784 | + | 38.4452i | −0.261500 | + | 0.0924163i | ||||
\(417\) | −118.367 | −0.283855 | ||||||||
\(418\) | 110.129 | + | 69.1029i | 0.263465 | + | 0.165318i | ||||
\(419\) | 459.934i | 1.09769i | 0.835923 | + | 0.548847i | \(0.184933\pi\) | ||||
−0.835923 | + | 0.548847i | \(0.815067\pi\) | |||||||
\(420\) | −16.8359 | − | 34.8493i | −0.0400856 | − | 0.0829745i | ||||
\(421\) | −62.9112 | −0.149433 | −0.0747163 | − | 0.997205i | \(-0.523805\pi\) | ||||
−0.0747163 | + | 0.997205i | \(0.523805\pi\) | |||||||
\(422\) | 415.020 | − | 661.413i | 0.983460 | − | 1.56733i | ||||
\(423\) | − | 28.0391i | − | 0.0662862i | ||||||
\(424\) | 22.8846 | − | 206.569i | 0.0539732 | − | 0.487191i | ||||
\(425\) | 44.6766 | 0.105122 | ||||||||
\(426\) | 235.661 | + | 147.872i | 0.553196 | + | 0.347116i | ||||
\(427\) | − | 73.0667i | − | 0.171116i | ||||||
\(428\) | 349.412 | − | 168.804i | 0.816384 | − | 0.394401i | ||||
\(429\) | −35.1657 | −0.0819712 | ||||||||
\(430\) | 82.2113 | − | 131.019i | 0.191189 | − | 0.304696i | ||||
\(431\) | − | 383.771i | − | 0.890421i | −0.895426 | − | 0.445210i | \(-0.853129\pi\) | ||
0.895426 | − | 0.445210i | \(-0.146871\pi\) | |||||||
\(432\) | −65.1290 | − | 51.6742i | −0.150761 | − | 0.119616i | ||||
\(433\) | 536.435 | 1.23888 | 0.619439 | − | 0.785044i | \(-0.287360\pi\) | ||||
0.619439 | + | 0.785044i | \(0.287360\pi\) | |||||||
\(434\) | −101.795 | − | 63.8738i | −0.234551 | − | 0.147175i | ||||
\(435\) | 466.008i | 1.07128i | ||||||||
\(436\) | 367.288 | + | 760.261i | 0.842403 | + | 1.74372i | ||||
\(437\) | −60.6850 | −0.138867 | ||||||||
\(438\) | 10.3231 | − | 16.4518i | 0.0235687 | − | 0.0375613i | ||||
\(439\) | 263.036i | 0.599170i | 0.954070 | + | 0.299585i | \(0.0968482\pi\) | ||||
−0.954070 | + | 0.299585i | \(0.903152\pi\) | |||||||
\(440\) | 247.006 | + | 27.3644i | 0.561378 | + | 0.0621919i | ||||
\(441\) | −143.924 | −0.326358 | ||||||||
\(442\) | 50.2185 | + | 31.5108i | 0.113616 | + | 0.0712915i | ||||
\(443\) | − | 696.607i | − | 1.57248i | −0.617924 | − | 0.786238i | \(-0.712026\pi\) | ||
0.617924 | − | 0.786238i | \(-0.287974\pi\) | |||||||
\(444\) | −121.025 | + | 58.4680i | −0.272578 | + | 0.131685i | ||||
\(445\) | 385.480 | 0.866246 | ||||||||
\(446\) | 337.457 | − | 537.801i | 0.756629 | − | 1.20583i | ||||
\(447\) | − | 274.980i | − | 0.615167i | ||||||
\(448\) | −14.1852 | + | 63.2357i | −0.0316633 | + | 0.141151i | ||||
\(449\) | −189.583 | −0.422233 | −0.211117 | − | 0.977461i | \(-0.567710\pi\) | ||||
−0.211117 | + | 0.977461i | \(0.567710\pi\) | |||||||
\(450\) | −27.6180 | − | 17.3296i | −0.0613734 | − | 0.0385103i | ||||
\(451\) | 369.418i | 0.819109i | ||||||||
\(452\) | 119.058 | + | 246.442i | 0.263402 | + | 0.545225i | ||||
\(453\) | 454.758 | 1.00388 | ||||||||
\(454\) | 455.120 | − | 725.319i | 1.00247 | − | 1.59762i | ||||
\(455\) | − | 20.1417i | − | 0.0442674i | ||||||
\(456\) | −17.6138 | + | 158.991i | −0.0386267 | + | 0.348665i | ||||
\(457\) | 149.051 | 0.326150 | 0.163075 | − | 0.986614i | \(-0.447859\pi\) | ||||
0.163075 | + | 0.986614i | \(0.447859\pi\) | |||||||
\(458\) | 693.937 | + | 435.428i | 1.51515 | + | 0.950716i | ||||
\(459\) | 42.7201i | 0.0930721i | ||||||||
\(460\) | −104.448 | + | 50.4595i | −0.227060 | + | 0.109695i | ||||
\(461\) | −34.1785 | −0.0741400 | −0.0370700 | − | 0.999313i | \(-0.511802\pi\) | ||||
−0.0370700 | + | 0.999313i | \(0.511802\pi\) | |||||||
\(462\) | −10.4985 | + | 16.7314i | −0.0227241 | + | 0.0362151i | ||||
\(463\) | − | 553.129i | − | 1.19466i | −0.801994 | − | 0.597332i | \(-0.796228\pi\) | ||
0.801994 | − | 0.597332i | \(-0.203772\pi\) | |||||||
\(464\) | 485.002 | − | 611.286i | 1.04526 | − | 1.31743i | ||||
\(465\) | −566.999 | −1.21935 | ||||||||
\(466\) | −142.568 | − | 89.4575i | −0.305939 | − | 0.191969i | ||||
\(467\) | − | 8.93243i | − | 0.0191273i | −0.999954 | − | 0.00956363i | \(-0.996956\pi\) | ||
0.999954 | − | 0.00956363i | \(-0.00304424\pi\) | |||||||
\(468\) | −18.8211 | − | 38.9585i | −0.0402161 | − | 0.0832447i | ||||
\(469\) | −102.719 | −0.219018 | ||||||||
\(470\) | −54.8101 | + | 87.3502i | −0.116617 | + | 0.185852i | ||||
\(471\) | − | 194.142i | − | 0.412190i | ||||||
\(472\) | −305.661 | − | 33.8625i | −0.647587 | − | 0.0717425i | ||||
\(473\) | −78.9405 | −0.166893 | ||||||||
\(474\) | 83.8485 | + | 52.6128i | 0.176896 | + | 0.110997i | ||||
\(475\) | 62.7339i | 0.132071i | ||||||||
\(476\) | 29.9849 | − | 14.4859i | 0.0629936 | − | 0.0304327i | ||||
\(477\) | 77.9373 | 0.163391 | ||||||||
\(478\) | −259.224 | + | 413.122i | −0.542309 | + | 0.864272i | ||||
\(479\) | 569.142i | 1.18819i | 0.804396 | + | 0.594094i | \(0.202489\pi\) | ||||
−0.804396 | + | 0.594094i | \(0.797511\pi\) | |||||||
\(480\) | 101.885 | + | 288.293i | 0.212261 | + | 0.600611i | ||||
\(481\) | −69.9481 | −0.145422 | ||||||||
\(482\) | −377.660 | − | 236.972i | −0.783527 | − | 0.491644i | ||||
\(483\) | − | 9.21964i | − | 0.0190883i | ||||||
\(484\) | 155.369 | + | 321.603i | 0.321010 | + | 0.664470i | ||||
\(485\) | −152.804 | −0.315060 | ||||||||
\(486\) | 16.5707 | − | 26.4086i | 0.0340961 | − | 0.0543386i | ||||
\(487\) | 225.936i | 0.463935i | 0.972724 | + | 0.231968i | \(0.0745163\pi\) | ||||
−0.972724 | + | 0.231968i | \(0.925484\pi\) | |||||||
\(488\) | −63.5617 | + | 573.742i | −0.130249 | + | 1.17570i | ||||
\(489\) | 13.7048 | 0.0280261 | ||||||||
\(490\) | 448.367 | + | 281.339i | 0.915034 | + | 0.574161i | ||||
\(491\) | − | 876.858i | − | 1.78586i | −0.450194 | − | 0.892931i | \(-0.648645\pi\) | ||
0.450194 | − | 0.892931i | \(-0.351355\pi\) | |||||||
\(492\) | −409.262 | + | 197.718i | −0.831834 | + | 0.401865i | ||||
\(493\) | −400.961 | −0.813309 | ||||||||
\(494\) | −44.2468 | + | 70.5156i | −0.0895683 | + | 0.142744i | ||||
\(495\) | 93.1940i | 0.188271i | ||||||||
\(496\) | 743.761 | + | 590.110i | 1.49952 | + | 1.18974i | ||||
\(497\) | 81.3261 | 0.163634 | ||||||||
\(498\) | 304.981 | + | 191.368i | 0.612412 | + | 0.384273i | ||||
\(499\) | 259.904i | 0.520851i | 0.965494 | + | 0.260425i | \(0.0838628\pi\) | ||||
−0.965494 | + | 0.260425i | \(0.916137\pi\) | |||||||
\(500\) | −187.816 | − | 388.767i | −0.375632 | − | 0.777533i | ||||
\(501\) | 424.194 | 0.846695 | ||||||||
\(502\) | −469.275 | + | 747.879i | −0.934811 | + | 1.48980i | ||||
\(503\) | − | 172.379i | − | 0.342702i | −0.985210 | − | 0.171351i | \(-0.945187\pi\) | ||
0.985210 | − | 0.171351i | \(-0.0548132\pi\) | |||||||
\(504\) | −24.1549 | − | 2.67599i | −0.0479265 | − | 0.00530951i | ||||
\(505\) | −218.702 | −0.433074 | ||||||||
\(506\) | 50.1461 | + | 31.4654i | 0.0991031 | + | 0.0621847i | ||||
\(507\) | − | 22.5167i | − | 0.0444116i | ||||||
\(508\) | −169.317 | + | 81.7985i | −0.333302 | + | 0.161021i | ||||
\(509\) | −713.109 | −1.40100 | −0.700500 | − | 0.713653i | \(-0.747039\pi\) | ||||
−0.700500 | + | 0.713653i | \(0.747039\pi\) | |||||||
\(510\) | 83.5082 | − | 133.086i | 0.163742 | − | 0.260953i | ||||
\(511\) | − | 5.67748i | − | 0.0111105i | ||||||
\(512\) | 166.396 | − | 484.207i | 0.324992 | − | 0.945717i | ||||
\(513\) | −59.9865 | −0.116933 | ||||||||
\(514\) | −489.808 | − | 307.342i | −0.952933 | − | 0.597942i | ||||
\(515\) | 445.882i | 0.865791i | ||||||||
\(516\) | −42.2500 | − | 87.4547i | −0.0818799 | − | 0.169486i | ||||
\(517\) | 52.6294 | 0.101798 | ||||||||
\(518\) | −20.8827 | + | 33.2805i | −0.0403140 | + | 0.0642480i | ||||
\(519\) | 292.681i | 0.563932i | ||||||||
\(520\) | −17.5215 | + | 158.159i | −0.0336952 | + | 0.304151i | ||||
\(521\) | −475.193 | −0.912078 | −0.456039 | − | 0.889960i | \(-0.650732\pi\) | ||||
−0.456039 | + | 0.889960i | \(0.650732\pi\) | |||||||
\(522\) | 247.865 | + | 155.529i | 0.474837 | + | 0.297948i | ||||
\(523\) | − | 807.769i | − | 1.54449i | −0.635324 | − | 0.772246i | \(-0.719133\pi\) | ||
0.635324 | − | 0.772246i | \(-0.280867\pi\) | |||||||
\(524\) | 306.706 | − | 148.172i | 0.585317 | − | 0.282771i | ||||
\(525\) | −9.53091 | −0.0181541 | ||||||||
\(526\) | −437.803 | + | 697.722i | −0.832325 | + | 1.32647i | ||||
\(527\) | − | 487.856i | − | 0.925723i | ||||||
\(528\) | 96.9926 | − | 122.247i | 0.183698 | − | 0.231529i | ||||
\(529\) | 501.368 | 0.947765 | ||||||||
\(530\) | −242.799 | − | 152.350i | −0.458110 | − | 0.287453i | ||||
\(531\) | − | 115.324i | − | 0.217183i | ||||||
\(532\) | 20.3408 | + | 42.1041i | 0.0382346 | + | 0.0791431i | ||||
\(533\) | −236.539 | −0.443789 | ||||||||
\(534\) | 128.653 | − | 205.033i | 0.240923 | − | 0.383956i | ||||
\(535\) | − | 535.191i | − | 1.00036i | ||||||
\(536\) | 806.584 | + | 89.3569i | 1.50482 | + | 0.166711i | ||||
\(537\) | −215.586 | −0.401464 | ||||||||
\(538\) | −30.4038 | − | 19.0776i | −0.0565126 | − | 0.0354602i | ||||
\(539\) | − | 270.146i | − | 0.501198i | ||||||
\(540\) | −103.246 | + | 49.8787i | −0.191196 | + | 0.0923680i | ||||
\(541\) | −38.9119 | −0.0719258 | −0.0359629 | − | 0.999353i | \(-0.511450\pi\) | ||||
−0.0359629 | + | 0.999353i | \(0.511450\pi\) | |||||||
\(542\) | −343.846 | + | 547.984i | −0.634402 | + | 1.01104i | ||||
\(543\) | 403.098i | 0.742354i | ||||||||
\(544\) | −248.053 | + | 87.6639i | −0.455979 | + | 0.161147i | ||||
\(545\) | 1164.48 | 2.13667 | ||||||||
\(546\) | −10.7132 | − | 6.72223i | −0.0196212 | − | 0.0123118i | ||||
\(547\) | − | 329.904i | − | 0.603116i | −0.953448 | − | 0.301558i | \(-0.902493\pi\) | ||
0.953448 | − | 0.301558i | \(-0.0975066\pi\) | |||||||
\(548\) | 346.776 | + | 717.803i | 0.632803 | + | 1.30986i | ||||
\(549\) | −216.470 | −0.394298 | ||||||||
\(550\) | 32.5278 | − | 51.8392i | 0.0591414 | − | 0.0942530i | ||||
\(551\) | − | 563.020i | − | 1.02181i | ||||||
\(552\) | −8.02029 | + | 72.3955i | −0.0145295 | + | 0.131151i | ||||
\(553\) | 28.9359 | 0.0523253 | ||||||||
\(554\) | 303.885 | + | 190.680i | 0.548529 | + | 0.344188i | ||||
\(555\) | 185.373i | 0.334005i | ||||||||
\(556\) | 246.139 | − | 118.912i | 0.442696 | − | 0.213870i | ||||
\(557\) | −499.645 | −0.897028 | −0.448514 | − | 0.893776i | \(-0.648047\pi\) | ||||
−0.448514 | + | 0.893776i | \(0.648047\pi\) | |||||||
\(558\) | −189.234 | + | 301.581i | −0.339130 | + | 0.540468i | ||||
\(559\) | − | 50.5458i | − | 0.0904218i | ||||||
\(560\) | 70.0191 | + | 55.5540i | 0.125034 | + | 0.0992036i | ||||
\(561\) | −80.1858 | −0.142934 | ||||||||
\(562\) | 740.917 | + | 464.907i | 1.31836 | + | 0.827236i | ||||
\(563\) | − | 79.9277i | − | 0.141967i | −0.997477 | − | 0.0709837i | \(-0.977386\pi\) | ||
0.997477 | − | 0.0709837i | \(-0.0226138\pi\) | |||||||
\(564\) | 28.1680 | + | 58.3058i | 0.0499432 | + | 0.103379i | ||||
\(565\) | 377.473 | 0.668093 | ||||||||
\(566\) | 523.994 | − | 835.084i | 0.925784 | − | 1.47541i | ||||
\(567\) | − | 9.11352i | − | 0.0160732i | ||||||
\(568\) | −638.598 | − | 70.7467i | −1.12429 | − | 0.124554i | ||||
\(569\) | 822.992 | 1.44638 | 0.723192 | − | 0.690647i | \(-0.242674\pi\) | ||||
0.723192 | + | 0.690647i | \(0.242674\pi\) | |||||||
\(570\) | 186.876 | + | 117.260i | 0.327853 | + | 0.205720i | ||||
\(571\) | 237.913i | 0.416660i | 0.978059 | + | 0.208330i | \(0.0668028\pi\) | ||||
−0.978059 | + | 0.208330i | \(0.933197\pi\) | |||||||
\(572\) | 73.1253 | − | 35.3274i | 0.127841 | − | 0.0617611i | ||||
\(573\) | −481.942 | −0.841086 | ||||||||
\(574\) | −70.6176 | + | 112.543i | −0.123027 | + | 0.196067i | ||||
\(575\) | 28.5654i | 0.0496789i | ||||||||
\(576\) | 187.344 | + | 42.0254i | 0.325250 | + | 0.0729608i | ||||
\(577\) | −764.467 | −1.32490 | −0.662450 | − | 0.749106i | \(-0.730483\pi\) | ||||
−0.662450 | + | 0.749106i | \(0.730483\pi\) | |||||||
\(578\) | −375.088 | − | 235.358i | −0.648941 | − | 0.407194i | ||||
\(579\) | 11.9738i | 0.0206801i | ||||||||
\(580\) | −468.150 | − | 969.040i | −0.807156 | − | 1.67076i | ||||
\(581\) | 105.248 | 0.181150 | ||||||||
\(582\) | −50.9980 | + | 81.2749i | −0.0876254 | + | 0.139648i | ||||
\(583\) | 146.289i | 0.250924i | ||||||||
\(584\) | −4.93892 | + | 44.5813i | −0.00845705 | + | 0.0763379i | ||||
\(585\) | −59.6724 | −0.102004 | ||||||||
\(586\) | 104.817 | + | 65.7697i | 0.178868 | + | 0.112235i | ||||
\(587\) | 349.212i | 0.594910i | 0.954736 | + | 0.297455i | \(0.0961379\pi\) | ||||
−0.954736 | + | 0.297455i | \(0.903862\pi\) | |||||||
\(588\) | 299.283 | − | 144.586i | 0.508984 | − | 0.245894i | ||||
\(589\) | 685.036 | 1.16305 | ||||||||
\(590\) | −225.433 | + | 359.270i | −0.382089 | + | 0.608932i | ||||
\(591\) | 482.320i | 0.816109i | ||||||||
\(592\) | 192.928 | − | 243.162i | 0.325892 | − | 0.410747i | ||||
\(593\) | −240.972 | −0.406360 | −0.203180 | − | 0.979141i | \(-0.565128\pi\) | ||||
−0.203180 | + | 0.979141i | \(0.565128\pi\) | |||||||
\(594\) | 49.5690 | + | 31.1033i | 0.0834494 | + | 0.0523624i | ||||
\(595\) | − | 45.9277i | − | 0.0771894i | ||||||
\(596\) | 276.244 | + | 571.807i | 0.463497 | + | 0.959408i | ||||
\(597\) | 256.474 | 0.429605 | ||||||||
\(598\) | −20.1474 | + | 32.1087i | −0.0336913 | + | 0.0536935i | ||||
\(599\) | − | 429.935i | − | 0.717755i | −0.933385 | − | 0.358878i | \(-0.883160\pi\) | ||
0.933385 | − | 0.358878i | \(-0.116840\pi\) | |||||||
\(600\) | 74.8397 | + | 8.29107i | 0.124733 | + | 0.0138184i | ||||
\(601\) | 812.327 | 1.35163 | 0.675813 | − | 0.737073i | \(-0.263793\pi\) | ||||
0.675813 | + | 0.737073i | \(0.263793\pi\) | |||||||
\(602\) | −24.0491 | − | 15.0902i | −0.0399486 | − | 0.0250668i | ||||
\(603\) | 304.319i | 0.504676i | ||||||||
\(604\) | −945.646 | + | 456.849i | −1.56564 | + | 0.756372i | ||||
\(605\) | 492.597 | 0.814210 | ||||||||
\(606\) | −72.9914 | + | 116.326i | −0.120448 | + | 0.191956i | ||||
\(607\) | − | 772.664i | − | 1.27292i | −0.771308 | − | 0.636462i | \(-0.780397\pi\) | ||
0.771308 | − | 0.636462i | \(-0.219603\pi\) | |||||||
\(608\) | −123.096 | − | 348.310i | −0.202460 | − | 0.572878i | ||||
\(609\) | 85.5374 | 0.140456 | ||||||||
\(610\) | 674.369 | + | 423.150i | 1.10552 | + | 0.693688i | ||||
\(611\) | 33.6988i | 0.0551534i | ||||||||
\(612\) | −42.9165 | − | 88.8344i | −0.0701251 | − | 0.145154i | ||||
\(613\) | 323.297 | 0.527402 | 0.263701 | − | 0.964605i | \(-0.415057\pi\) | ||||
0.263701 | + | 0.964605i | \(0.415057\pi\) | |||||||
\(614\) | −474.869 | + | 756.794i | −0.773403 | + | 1.23256i | ||||
\(615\) | 626.863i | 1.01929i | ||||||||
\(616\) | 5.02284 | − | 45.3389i | 0.00815397 | − | 0.0736021i | ||||
\(617\) | −440.441 | −0.713842 | −0.356921 | − | 0.934135i | \(-0.616173\pi\) | ||||
−0.356921 | + | 0.934135i | \(0.616173\pi\) | |||||||
\(618\) | 237.160 | + | 148.812i | 0.383755 | + | 0.240796i | ||||
\(619\) | − | 444.566i | − | 0.718200i | −0.933299 | − | 0.359100i | \(-0.883084\pi\) | ||
0.933299 | − | 0.359100i | \(-0.116916\pi\) | |||||||
\(620\) | 1179.05 | − | 569.606i | 1.90169 | − | 0.918719i | ||||
\(621\) | −27.3144 | −0.0439845 | ||||||||
\(622\) | 264.617 | − | 421.717i | 0.425429 | − | 0.678002i | ||||
\(623\) | − | 70.7562i | − | 0.113573i | ||||||
\(624\) | 78.2753 | + | 62.1046i | 0.125441 | + | 0.0995266i | ||||
\(625\) | −731.323 | −1.17012 | ||||||||
\(626\) | −96.0566 | − | 60.2731i | −0.153445 | − | 0.0962829i | ||||
\(627\) | − | 112.595i | − | 0.179577i | ||||||
\(628\) | 195.034 | + | 403.708i | 0.310564 | + | 0.642847i | ||||
\(629\) | −159.498 | −0.253574 | ||||||||
\(630\) | −17.8149 | + | 28.3914i | −0.0282776 | + | 0.0450657i | ||||
\(631\) | − | 394.541i | − | 0.625263i | −0.949874 | − | 0.312632i | \(-0.898789\pi\) | ||
0.949874 | − | 0.312632i | \(-0.101211\pi\) | |||||||
\(632\) | −227.214 | − | 25.1717i | −0.359515 | − | 0.0398287i | ||||
\(633\) | −676.226 | −1.06829 | ||||||||
\(634\) | −97.9533 | − | 61.4632i | −0.154500 | − | 0.0969452i | ||||
\(635\) | 259.342i | 0.408413i | ||||||||
\(636\) | −162.067 | + | 78.2957i | −0.254822 | + | 0.123106i | ||||
\(637\) | 172.975 | 0.271546 | ||||||||
\(638\) | −291.928 | + | 465.243i | −0.457568 | + | 0.729221i | ||||
\(639\) | − | 240.939i | − | 0.377057i | ||||||
\(640\) | −501.484 | − | 497.138i | −0.783569 | − | 0.776778i | ||||
\(641\) | 941.707 | 1.46912 | 0.734561 | − | 0.678543i | \(-0.237388\pi\) | ||||
0.734561 | + | 0.678543i | \(0.237388\pi\) | |||||||
\(642\) | −284.663 | − | 178.619i | −0.443400 | − | 0.278222i | ||||
\(643\) | 187.307i | 0.291301i | 0.989336 | + | 0.145651i | \(0.0465275\pi\) | ||||
−0.989336 | + | 0.145651i | \(0.953472\pi\) | |||||||
\(644\) | 9.26203 | + | 19.1718i | 0.0143820 | + | 0.0297698i | ||||
\(645\) | −133.954 | −0.207680 | ||||||||
\(646\) | −100.893 | + | 160.792i | −0.156181 | + | 0.248904i | ||||
\(647\) | 324.114i | 0.500949i | 0.968123 | + | 0.250474i | \(0.0805866\pi\) | ||||
−0.968123 | + | 0.250474i | \(0.919413\pi\) | |||||||
\(648\) | −7.92798 | + | 71.5622i | −0.0122345 | + | 0.110435i | ||||
\(649\) | 216.464 | 0.333534 | ||||||||
\(650\) | 33.1928 | + | 20.8276i | 0.0510658 | + | 0.0320425i | ||||
\(651\) | 104.075i | 0.159869i | ||||||||
\(652\) | −28.4984 | + | 13.7678i | −0.0437092 | + | 0.0211163i | ||||
\(653\) | −746.434 | −1.14308 | −0.571542 | − | 0.820573i | \(-0.693654\pi\) | ||||
−0.571542 | + | 0.820573i | \(0.693654\pi\) | |||||||
\(654\) | 388.644 | − | 619.377i | 0.594256 | − | 0.947060i | ||||
\(655\) | − | 469.779i | − | 0.717219i | ||||||
\(656\) | 652.414 | − | 822.288i | 0.994534 | − | 1.25349i | ||||
\(657\) | −16.8203 | −0.0256016 | ||||||||
\(658\) | 16.0335 | + | 10.0606i | 0.0243670 | + | 0.0152896i | ||||
\(659\) | 797.604i | 1.21032i | 0.796102 | + | 0.605162i | \(0.206892\pi\) | ||||
−0.796102 | + | 0.605162i | \(0.793108\pi\) | |||||||
\(660\) | −93.6226 | − | 193.792i | −0.141852 | − | 0.293625i | ||||
\(661\) | −606.767 | −0.917952 | −0.458976 | − | 0.888449i | \(-0.651784\pi\) | ||||
−0.458976 | + | 0.888449i | \(0.651784\pi\) | |||||||
\(662\) | 52.1779 | − | 83.1553i | 0.0788185 | − | 0.125612i | ||||
\(663\) | − | 51.3432i | − | 0.0774407i | ||||||
\(664\) | −826.442 | − | 91.5569i | −1.24464 | − | 0.137887i | ||||
\(665\) | 64.4905 | 0.0969782 | ||||||||
\(666\) | 98.5978 | + | 61.8676i | 0.148045 | + | 0.0928943i | ||||
\(667\) | − | 256.367i | − | 0.384358i | ||||||
\(668\) | −882.091 | + | 426.145i | −1.32050 | + | 0.637942i | ||||
\(669\) | −549.846 | −0.821892 | ||||||||
\(670\) | 594.876 | − | 948.048i | 0.887875 | − | 1.41500i | ||||
\(671\) | − | 406.314i | − | 0.605536i | ||||||
\(672\) | 52.9173 | − | 18.7014i | 0.0787460 | − | 0.0278295i | ||||
\(673\) | −402.160 | −0.597563 | −0.298782 | − | 0.954322i | \(-0.596580\pi\) | ||||
−0.298782 | + | 0.954322i | \(0.596580\pi\) | |||||||
\(674\) | −681.461 | − | 427.600i | −1.01107 | − | 0.634421i | ||||
\(675\) | 28.2366i | 0.0418320i | ||||||||
\(676\) | 22.6202 | + | 46.8223i | 0.0334618 | + | 0.0692637i | ||||
\(677\) | −673.548 | −0.994901 | −0.497450 | − | 0.867492i | \(-0.665730\pi\) | ||||
−0.497450 | + | 0.867492i | \(0.665730\pi\) | |||||||
\(678\) | 125.980 | − | 200.774i | 0.185812 | − | 0.296127i | ||||
\(679\) | 28.0477i | 0.0413074i | ||||||||
\(680\) | −39.9531 | + | 360.638i | −0.0587546 | + | 0.530351i | ||||
\(681\) | −741.564 | −1.08893 | ||||||||
\(682\) | −566.069 | − | 355.194i | −0.830013 | − | 0.520812i | ||||
\(683\) | − | 562.406i | − | 0.823435i | −0.911312 | − | 0.411717i | \(-0.864929\pi\) | ||
0.911312 | − | 0.411717i | \(-0.135071\pi\) | |||||||
\(684\) | 124.739 | − | 60.2624i | 0.182367 | − | 0.0881029i | ||||
\(685\) | 1099.45 | 1.60504 | ||||||||
\(686\) | 104.385 | − | 166.358i | 0.152165 | − | 0.242504i | ||||
\(687\) | − | 709.478i | − | 1.03272i | ||||||
\(688\) | 175.714 | + | 139.414i | 0.255398 | + | 0.202636i | ||||
\(689\) | −93.6690 | −0.135949 | ||||||||
\(690\) | 85.0927 | + | 53.3935i | 0.123323 | + | 0.0773819i | ||||
\(691\) | − | 206.103i | − | 0.298268i | −0.988817 | − | 0.149134i | \(-0.952351\pi\) | ||
0.988817 | − | 0.149134i | \(-0.0476486\pi\) | |||||||
\(692\) | −294.026 | − | 608.615i | −0.424894 | − | 0.879502i | ||||
\(693\) | 17.1061 | 0.0246841 | ||||||||
\(694\) | −86.3118 | + | 137.554i | −0.124369 | + | 0.198205i | ||||
\(695\) | − | 377.009i | − | 0.542459i | ||||||
\(696\) | −671.666 | − | 74.4102i | −0.965038 | − | 0.106911i | ||||
\(697\) | −539.364 | −0.773837 | ||||||||
\(698\) | 391.306 | + | 245.535i | 0.560611 | + | 0.351769i | ||||
\(699\) | 145.760i | 0.208527i | ||||||||
\(700\) | 19.8191 | − | 9.57473i | 0.0283129 | − | 0.0136782i | ||||
\(701\) | 42.7330 | 0.0609601 | 0.0304801 | − | 0.999535i | \(-0.490296\pi\) | ||||
0.0304801 | + | 0.999535i | \(0.490296\pi\) | |||||||
\(702\) | −19.9155 | + | 31.7391i | −0.0283697 | + | 0.0452124i | ||||
\(703\) | − | 223.963i | − | 0.318582i | ||||||
\(704\) | −78.8819 | + | 351.646i | −0.112048 | + | 0.499497i | ||||
\(705\) | 89.3065 | 0.126676 | ||||||||
\(706\) | 464.881 | + | 291.701i | 0.658472 | + | 0.413174i | ||||
\(707\) | 40.1436i | 0.0567802i | ||||||||
\(708\) | 115.854 | + | 239.811i | 0.163636 | + | 0.338716i | ||||
\(709\) | −89.9432 | −0.126859 | −0.0634296 | − | 0.997986i | \(-0.520204\pi\) | ||||
−0.0634296 | + | 0.997986i | \(0.520204\pi\) | |||||||
\(710\) | −470.982 | + | 750.599i | −0.663355 | + | 1.05718i | ||||
\(711\) | − | 85.7263i | − | 0.120572i | ||||||
\(712\) | −61.5518 | + | 555.600i | −0.0864492 | + | 0.780337i | ||||
\(713\) | 311.925 | 0.437483 | ||||||||
\(714\) | −24.4285 | − | 15.3282i | −0.0342135 | − | 0.0214681i | ||||
\(715\) | − | 112.005i | − | 0.156651i | ||||||
\(716\) | 448.300 | − | 216.577i | 0.626118 | − | 0.302482i | ||||
\(717\) | 422.374 | 0.589085 | ||||||||
\(718\) | −571.074 | + | 910.114i | −0.795367 | + | 1.26757i | ||||
\(719\) | 699.403i | 0.972744i | 0.873752 | + | 0.486372i | \(0.161680\pi\) | ||||
−0.873752 | + | 0.486372i | \(0.838320\pi\) | |||||||
\(720\) | 164.586 | − | 207.441i | 0.228592 | − | 0.288112i | ||||
\(721\) | 81.8434 | 0.113514 | ||||||||
\(722\) | 385.794 | + | 242.076i | 0.534340 | + | 0.335285i | ||||
\(723\) | 386.118i | 0.534050i | ||||||||
\(724\) | −404.952 | − | 838.223i | −0.559325 | − | 1.15777i | ||||
\(725\) | −265.022 | −0.365548 | ||||||||
\(726\) | 164.403 | − | 262.007i | 0.226450 | − | 0.360892i | ||||
\(727\) | 1083.55i | 1.49044i | 0.666817 | + | 0.745221i | \(0.267656\pi\) | ||||
−0.666817 | + | 0.745221i | \(0.732344\pi\) | |||||||
\(728\) | 29.0306 | + | 3.21614i | 0.0398772 | + | 0.00441778i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 52.4003 | + | 32.8799i | 0.0717813 | + | 0.0450409i | ||||
\(731\) | − | 115.256i | − | 0.157669i | ||||||
\(732\) | 450.138 | − | 217.465i | 0.614943 | − | 0.297083i | ||||
\(733\) | −459.669 | −0.627107 | −0.313553 | − | 0.949571i | \(-0.601519\pi\) | ||||
−0.313553 | + | 0.949571i | \(0.601519\pi\) | |||||||
\(734\) | 603.049 | − | 961.073i | 0.821593 | − | 1.30936i | ||||
\(735\) | − | 458.408i | − | 0.623685i | ||||||
\(736\) | −56.0506 | − | 158.600i | −0.0761556 | − | 0.215489i | ||||
\(737\) | −571.209 | −0.775046 | ||||||||
\(738\) | 333.422 | + | 209.214i | 0.451792 | + | 0.283488i | ||||
\(739\) | 779.296i | 1.05453i | 0.849702 | + | 0.527264i | \(0.176782\pi\) | ||||
−0.849702 | + | 0.527264i | \(0.823218\pi\) | |||||||
\(740\) | −186.225 | − | 385.473i | −0.251655 | − | 0.520910i | ||||
\(741\) | 72.0948 | 0.0972940 | ||||||||
\(742\) | −27.9644 | + | 44.5666i | −0.0376879 | + | 0.0600628i | ||||
\(743\) | 696.785i | 0.937799i | 0.883251 | + | 0.468900i | \(0.155349\pi\) | ||||
−0.883251 | + | 0.468900i | \(0.844651\pi\) | |||||||
\(744\) | 90.5361 | − | 817.227i | 0.121688 | − | 1.09842i | ||||
\(745\) | 875.832 | 1.17561 | ||||||||
\(746\) | −865.716 | − | 543.215i | −1.16048 | − | 0.728170i | ||||
\(747\) | − | 311.812i | − | 0.417419i | ||||||
\(748\) | 166.742 | − | 80.5545i | 0.222918 | − | 0.107693i | ||||
\(749\) | −98.2364 | −0.131157 | ||||||||
\(750\) | −198.737 | + | 316.725i | −0.264982 | + | 0.422299i | ||||
\(751\) | 237.983i | 0.316889i | 0.987368 | + | 0.158444i | \(0.0506478\pi\) | ||||
−0.987368 | + | 0.158444i | \(0.949352\pi\) | |||||||
\(752\) | −117.148 | − | 92.9466i | −0.155782 | − | 0.123599i | ||||
\(753\) | 764.628 | 1.01544 | ||||||||
\(754\) | −297.896 | − | 186.922i | −0.395088 | − | 0.247908i | ||||
\(755\) | 1448.44i | 1.91846i | ||||||||
\(756\) | 9.15542 | + | 18.9511i | 0.0121103 | + | 0.0250676i | ||||
\(757\) | −62.2735 | −0.0822635 | −0.0411318 | − | 0.999154i | \(-0.513096\pi\) | ||||
−0.0411318 | + | 0.999154i | \(0.513096\pi\) | |||||||
\(758\) | −261.394 | + | 416.581i | −0.344847 | + | 0.549580i | ||||
\(759\) | − | 51.2692i | − | 0.0675484i | ||||||
\(760\) | −506.400 | − | 56.1012i | −0.666315 | − | 0.0738174i | ||||
\(761\) | −734.114 | −0.964670 | −0.482335 | − | 0.875987i | \(-0.660211\pi\) | ||||
−0.482335 | + | 0.875987i | \(0.660211\pi\) | |||||||
\(762\) | 137.941 | + | 86.5547i | 0.181025 | + | 0.113589i | ||||
\(763\) | − | 213.745i | − | 0.280138i | ||||||
\(764\) | 1002.18 | − | 484.158i | 1.31175 | − | 0.633715i | ||||
\(765\) | −136.067 | −0.177865 | ||||||||
\(766\) | −295.502 | + | 470.939i | −0.385773 | + | 0.614803i | ||||
\(767\) | 138.602i | 0.180707i | ||||||||
\(768\) | −431.792 | + | 100.816i | −0.562229 | + | 0.131271i | ||||
\(769\) | 378.181 | 0.491783 | 0.245891 | − | 0.969297i | \(-0.420919\pi\) | ||||
0.245891 | + | 0.969297i | \(0.420919\pi\) | |||||||
\(770\) | −53.2908 | − | 33.4386i | −0.0692088 | − | 0.0434268i | ||||
\(771\) | 500.777i | 0.649517i | ||||||||
\(772\) | −12.0288 | − | 24.8989i | −0.0155814 | − | 0.0322524i | ||||
\(773\) | −1276.10 | −1.65084 | −0.825421 | − | 0.564517i | \(-0.809062\pi\) | ||||
−0.825421 | + | 0.564517i | \(0.809062\pi\) | |||||||
\(774\) | −44.7067 | + | 71.2486i | −0.0577606 | + | 0.0920524i | ||||
\(775\) | − | 322.457i | − | 0.416073i | ||||||
\(776\) | 24.3991 | − | 220.240i | 0.0314422 | − | 0.283814i | ||||
\(777\) | 34.0258 | 0.0437913 | ||||||||
\(778\) | 224.561 | + | 140.907i | 0.288639 | + | 0.181114i | ||||
\(779\) | − | 757.362i | − | 0.972224i | ||||||
\(780\) | 124.086 | − | 59.9468i | 0.159084 | − | 0.0768548i | ||||
\(781\) | 452.244 | 0.579057 | ||||||||
\(782\) | −45.9407 | + | 73.2153i | −0.0587477 | + | 0.0936257i | ||||
\(783\) | − | 253.416i | − | 0.323647i | ||||||
\(784\) | −477.093 | + | 601.317i | −0.608537 | + | 0.766986i | ||||
\(785\) | 618.356 | 0.787715 | ||||||||
\(786\) | −249.871 | − | 156.787i | −0.317901 | − | 0.199475i | ||||
\(787\) | 1247.47i | 1.58509i | 0.609811 | + | 0.792547i | \(0.291245\pi\) | ||||
−0.609811 | + | 0.792547i | \(0.708755\pi\) | |||||||
\(788\) | −484.538 | − | 1002.96i | −0.614896 | − | 1.27279i | ||||
\(789\) | 713.348 | 0.904117 | ||||||||
\(790\) | −167.576 | + | 267.064i | −0.212121 | + | 0.338055i | ||||
\(791\) | − | 69.2865i | − | 0.0875935i | ||||||
\(792\) | −134.323 | − | 14.8808i | −0.169599 | − | 0.0187889i | ||||
\(793\) | 260.164 | 0.328076 | ||||||||
\(794\) | −795.460 | − | 499.131i | −1.00184 | − | 0.628629i | ||||
\(795\) | 248.236i | 0.312247i | ||||||||
\(796\) | −533.325 | + | 257.653i | −0.670007 | + | 0.323685i | ||||
\(797\) | 252.682 | 0.317042 | 0.158521 | − | 0.987356i | \(-0.449328\pi\) | ||||
0.158521 | + | 0.987356i | \(0.449328\pi\) | |||||||
\(798\) | 21.5235 | − | 34.3019i | 0.0269719 | − | 0.0429848i | ||||
\(799\) | 76.8409i | 0.0961714i | ||||||||
\(800\) | −163.955 | + | 57.9429i | −0.204943 | + | 0.0724286i | ||||
\(801\) | −209.625 | −0.261704 | ||||||||
\(802\) | 286.308 | + | 179.651i | 0.356992 | + | 0.224004i | ||||
\(803\) | − | 31.5717i | − | 0.0393172i | ||||||
\(804\) | −305.719 | − | 632.817i | −0.380247 | − | 0.787086i | ||||
\(805\) | 29.3652 | 0.0364786 | ||||||||
\(806\) | 227.431 | − | 362.455i | 0.282173 | − | 0.449696i | ||||
\(807\) | 31.0847i | 0.0385188i | ||||||||
\(808\) | 34.9215 | − | 315.220i | 0.0432197 | − | 0.390124i | ||||
\(809\) | 412.690 | 0.510124 | 0.255062 | − | 0.966925i | \(-0.417904\pi\) | ||||
0.255062 | + | 0.966925i | \(0.417904\pi\) | |||||||
\(810\) | 84.1133 | + | 52.7789i | 0.103844 | + | 0.0651592i | ||||
\(811\) | 1013.28i | 1.24942i | 0.780857 | + | 0.624710i | \(0.214783\pi\) | ||||
−0.780857 | + | 0.624710i | \(0.785217\pi\) | |||||||
\(812\) | −177.871 | + | 85.9307i | −0.219053 | + | 0.105826i | ||||
\(813\) | 560.256 | 0.689122 | ||||||||
\(814\) | −116.126 | + | 185.068i | −0.142661 | + | 0.227357i | ||||
\(815\) | 43.6508i | 0.0535592i | ||||||||
\(816\) | 178.486 | + | 141.613i | 0.218732 | + | 0.173545i | ||||
\(817\) | 161.840 | 0.198090 | ||||||||
\(818\) | 559.093 | + | 350.817i | 0.683488 | + | 0.428872i | ||||
\(819\) | 10.9531i | 0.0133737i | ||||||||
\(820\) | −629.746 | − | 1303.53i | −0.767983 | − | 1.58967i | ||||
\(821\) | 13.0550 | 0.0159014 | 0.00795070 | − | 0.999968i | \(-0.497469\pi\) | ||||
0.00795070 | + | 0.999968i | \(0.497469\pi\) | |||||||
\(822\) | 366.940 | − | 584.788i | 0.446399 | − | 0.711421i | ||||
\(823\) | − | 724.939i | − | 0.880850i | −0.897789 | − | 0.440425i | \(-0.854828\pi\) | ||
0.897789 | − | 0.440425i | \(-0.145172\pi\) | |||||||
\(824\) | −642.660 | − | 71.1967i | −0.779927 | − | 0.0864037i | ||||
\(825\) | −53.0002 | −0.0642426 | ||||||||
\(826\) | 65.9453 | + | 41.3790i | 0.0798369 | + | 0.0500956i | ||||
\(827\) | 1270.08i | 1.53576i | 0.640592 | + | 0.767882i | \(0.278689\pi\) | ||||
−0.640592 | + | 0.767882i | \(0.721311\pi\) | |||||||
\(828\) | 56.7989 | − | 27.4400i | 0.0685977 | − | 0.0331401i | ||||
\(829\) | 524.786 | 0.633035 | 0.316517 | − | 0.948587i | \(-0.397486\pi\) | ||||
0.316517 | + | 0.948587i | \(0.397486\pi\) | |||||||
\(830\) | −609.522 | + | 971.389i | −0.734364 | + | 1.17035i | ||||
\(831\) | − | 310.691i | − | 0.373876i | ||||||
\(832\) | −225.160 | − | 50.5083i | −0.270625 | − | 0.0607071i | ||||
\(833\) | 394.423 | 0.473497 | ||||||||
\(834\) | −200.527 | − | 125.826i | −0.240441 | − | 0.150870i | ||||
\(835\) | 1351.09i | 1.61807i | ||||||||
\(836\) | 113.113 | + | 234.136i | 0.135302 | + | 0.280067i | ||||
\(837\) | 308.335 | 0.368381 | ||||||||
\(838\) | −488.915 | + | 779.179i | −0.583431 | + | 0.929808i | ||||
\(839\) | 566.375i | 0.675060i | 0.941315 | + | 0.337530i | \(0.109591\pi\) | ||||
−0.941315 | + | 0.337530i | \(0.890409\pi\) | |||||||
\(840\) | 8.52323 | − | 76.9353i | 0.0101467 | − | 0.0915897i | ||||
\(841\) | 1537.50 | 1.82819 | ||||||||
\(842\) | −106.578 | − | 66.8753i | −0.126578 | − | 0.0794243i | ||||
\(843\) | − | 757.510i | − | 0.898589i | ||||||
\(844\) | 1406.18 | − | 679.335i | 1.66609 | − | 0.804900i | ||||
\(845\) | 71.7173 | 0.0848725 | ||||||||
\(846\) | 29.8058 | − | 47.5012i | 0.0352315 | − | 0.0561480i | ||||
\(847\) | − | 90.4180i | − | 0.106751i | ||||||
\(848\) | 258.354 | − | 325.624i | 0.304663 | − | 0.383991i | ||||
\(849\) | −853.786 | −1.00564 | ||||||||
\(850\) | 75.6871 | + | 47.4918i | 0.0890437 | + | 0.0558727i | ||||
\(851\) | − | 101.980i | − | 0.119835i | ||||||
\(852\) | 242.047 | + | 501.021i | 0.284093 | + | 0.588053i | ||||
\(853\) | 918.949 | 1.07731 | 0.538657 | − | 0.842525i | \(-0.318932\pi\) | ||||
0.538657 | + | 0.842525i | \(0.318932\pi\) | |||||||
\(854\) | 77.6707 | − | 123.783i | 0.0909493 | − | 0.144945i | ||||
\(855\) | − | 191.062i | − | 0.223464i | ||||||
\(856\) | 771.383 | + | 85.4572i | 0.901148 | + | 0.0998332i | ||||
\(857\) | 1131.98 | 1.32086 | 0.660429 | − | 0.750888i | \(-0.270374\pi\) | ||||
0.660429 | + | 0.750888i | \(0.270374\pi\) | |||||||
\(858\) | −59.5745 | − | 37.3815i | −0.0694341 | − | 0.0435682i | ||||
\(859\) | − | 275.908i | − | 0.321197i | −0.987020 | − | 0.160598i | \(-0.948658\pi\) | ||
0.987020 | − | 0.160598i | \(-0.0513424\pi\) | |||||||
\(860\) | 278.550 | − | 134.570i | 0.323895 | − | 0.156476i | ||||
\(861\) | 115.063 | 0.133639 | ||||||||
\(862\) | 407.953 | − | 650.151i | 0.473263 | − | 0.754235i | ||||
\(863\) | − | 976.882i | − | 1.13196i | −0.824419 | − | 0.565980i | \(-0.808498\pi\) | ||
0.824419 | − | 0.565980i | \(-0.191502\pi\) | |||||||
\(864\) | −55.4054 | − | 156.774i | −0.0641266 | − | 0.181452i | ||||
\(865\) | −932.210 | −1.07770 | ||||||||
\(866\) | 908.779 | + | 570.236i | 1.04940 | + | 0.658471i | ||||
\(867\) | 383.488i | 0.442316i | ||||||||
\(868\) | −104.553 | − | 216.418i | −0.120453 | − | 0.249330i | ||||
\(869\) | 160.909 | 0.185165 | ||||||||
\(870\) | −495.371 | + | 789.468i | −0.569392 | + | 0.907434i | ||||
\(871\) | − | 365.746i | − | 0.419916i | ||||||
\(872\) | −185.940 | + | 1678.40i | −0.213234 | + | 1.92477i | ||||
\(873\) | 83.0951 | 0.0951834 | ||||||||
\(874\) | −102.807 | − | 64.5089i | −0.117628 | − | 0.0738088i | ||||
\(875\) | 109.301i | 0.124915i | ||||||||
\(876\) | 34.9770 | − | 16.8976i | 0.0399280 | − | 0.0192895i | ||||
\(877\) | 1188.18 | 1.35482 | 0.677410 | − | 0.735606i | \(-0.263102\pi\) | ||||
0.677410 | + | 0.735606i | \(0.263102\pi\) | |||||||
\(878\) | −279.610 | + | 445.611i | −0.318462 | + | 0.507530i | ||||
\(879\) | − | 107.164i | − | 0.121916i | ||||||
\(880\) | 389.367 | + | 308.929i | 0.442462 | + | 0.351055i | ||||
\(881\) | 450.708 | 0.511587 | 0.255793 | − | 0.966731i | \(-0.417663\pi\) | ||||
0.255793 | + | 0.966731i | \(0.417663\pi\) | |||||||
\(882\) | −243.823 | − | 152.993i | −0.276443 | − | 0.173461i | ||||
\(883\) | − | 607.667i | − | 0.688184i | −0.938936 | − | 0.344092i | \(-0.888187\pi\) | ||
0.938936 | − | 0.344092i | \(-0.111813\pi\) | |||||||
\(884\) | 51.5793 | + | 106.766i | 0.0583476 | + | 0.120776i | ||||
\(885\) | 367.316 | 0.415046 | ||||||||
\(886\) | 740.501 | − | 1180.13i | 0.835780 | − | 1.33197i | ||||
\(887\) | 653.859i | 0.737158i | 0.929596 | + | 0.368579i | \(0.120156\pi\) | ||||
−0.929596 | + | 0.368579i | \(0.879844\pi\) | |||||||
\(888\) | −267.181 | − | 29.5995i | −0.300880 | − | 0.0333328i | ||||
\(889\) | 47.6032 | 0.0535469 | ||||||||
\(890\) | 653.045 | + | 409.769i | 0.733758 | + | 0.460415i | ||||
\(891\) | − | 50.6791i | − | 0.0568789i | ||||||
\(892\) | 1143.38 | − | 552.374i | 1.28181 | − | 0.619253i | ||||
\(893\) | −107.898 | −0.120827 | ||||||||
\(894\) | 292.307 | − | 465.846i | 0.326965 | − | 0.521081i | ||||
\(895\) | − | 686.658i | − | 0.767215i | ||||||
\(896\) | −91.2515 | + | 92.0493i | −0.101843 | + | 0.102734i | ||||
\(897\) | 32.8278 | 0.0365973 | ||||||||
\(898\) | −321.174 | − | 201.529i | −0.357655 | − | 0.224419i | ||||
\(899\) | 2893.96i | 3.21909i | ||||||||
\(900\) | −28.3664 | − | 58.7166i | −0.0315182 | − | 0.0652406i | ||||
\(901\) | −213.587 | −0.237055 | ||||||||
\(902\) | −392.696 | + | 625.835i | −0.435361 | + | 0.693830i | ||||
\(903\) | 24.5877i | 0.0272289i | ||||||||
\(904\) | −60.2733 | + | 544.059i | −0.0666740 | + | 0.601835i | ||||
\(905\) | −1283.90 | −1.41867 | ||||||||
\(906\) | 770.409 | + | 483.412i | 0.850341 | + | 0.533568i | ||||
\(907\) | 183.685i | 0.202519i | 0.994860 | + | 0.101260i | \(0.0322873\pi\) | ||||
−0.994860 | + | 0.101260i | \(0.967713\pi\) | |||||||
\(908\) | 1542.04 | − | 744.973i | 1.69829 | − | 0.820455i | ||||
\(909\) | 118.931 | 0.130837 | ||||||||
\(910\) | 21.4108 | − | 34.1222i | 0.0235284 | − | 0.0374969i | ||||
\(911\) | − | 1057.82i | − | 1.16116i | −0.814203 | − | 0.580581i | \(-0.802826\pi\) | ||
0.814203 | − | 0.580581i | \(-0.197174\pi\) | |||||||
\(912\) | −198.849 | + | 250.625i | −0.218037 | + | 0.274808i | ||||
\(913\) | 585.272 | 0.641043 | ||||||||
\(914\) | 252.508 | + | 158.442i | 0.276267 | + | 0.173351i | ||||
\(915\) | − | 689.472i | − | 0.753522i | ||||||
\(916\) | 712.741 | + | 1475.33i | 0.778101 | + | 1.61062i | ||||
\(917\) | −86.2296 | −0.0940345 | ||||||||
\(918\) | −45.4119 | + | 72.3725i | −0.0494684 | + | 0.0788372i | ||||
\(919\) | − | 1464.17i | − | 1.59322i | −0.604494 | − | 0.796609i | \(-0.706625\pi\) | ||
0.604494 | − | 0.796609i | \(-0.293375\pi\) | |||||||
\(920\) | −230.585 | − | 25.5452i | −0.250636 | − | 0.0277666i | ||||
\(921\) | 773.744 | 0.840112 | ||||||||
\(922\) | −57.9022 | − | 36.3321i | −0.0628006 | − | 0.0394058i | ||||
\(923\) | 289.573i | 0.313730i | ||||||||
\(924\) | −35.5713 | + | 17.1848i | −0.0384971 | + | 0.0185982i | ||||
\(925\) | −105.423 | −0.113971 | ||||||||
\(926\) | 587.982 | − | 937.061i | 0.634970 | − | 1.01195i | ||||
\(927\) | − | 242.472i | − | 0.261566i | ||||||
\(928\) | 1471.45 | − | 520.023i | 1.58561 | − | 0.560369i | ||||
\(929\) | 431.688 | 0.464680 | 0.232340 | − | 0.972635i | \(-0.425362\pi\) | ||||
0.232340 | + | 0.972635i | \(0.425362\pi\) | |||||||
\(930\) | −960.558 | − | 602.726i | −1.03286 | − | 0.648093i | ||||
\(931\) | 553.839i | 0.594886i | ||||||||
\(932\) | −146.431 | − | 303.102i | −0.157114 | − | 0.325216i | ||||
\(933\) | −431.162 | −0.462124 | ||||||||
\(934\) | 9.49527 | − | 15.1325i | 0.0101662 | − | 0.0162018i | ||||
\(935\) | − | 255.398i | − | 0.273153i | ||||||
\(936\) | 9.52824 | − | 86.0070i | 0.0101797 | − | 0.0918879i | ||||
\(937\) | −1476.62 | −1.57590 | −0.787952 | − | 0.615736i | \(-0.788859\pi\) | ||||
−0.787952 | + | 0.615736i | \(0.788859\pi\) | |||||||
\(938\) | −174.018 | − | 109.192i | −0.185520 | − | 0.116409i | ||||
\(939\) | 98.2079i | 0.104588i | ||||||||
\(940\) | −185.709 | + | 89.7172i | −0.197562 | + | 0.0954438i | ||||
\(941\) | 540.724 | 0.574627 | 0.287314 | − | 0.957837i | \(-0.407238\pi\) | ||||
0.287314 | + | 0.957837i | \(0.407238\pi\) | |||||||
\(942\) | 206.375 | − | 328.897i | 0.219081 | − | 0.349148i | ||||
\(943\) | − | 344.859i | − | 0.365704i | ||||||
\(944\) | −481.827 | − | 382.288i | −0.510410 | − | 0.404966i | ||||
\(945\) | 29.0272 | 0.0307167 | ||||||||
\(946\) | −133.734 | − | 83.9146i | −0.141368 | − | 0.0887047i | ||||
\(947\) | − | 857.512i | − | 0.905504i | −0.891636 | − | 0.452752i | \(-0.850442\pi\) | ||
0.891636 | − | 0.452752i | \(-0.149558\pi\) | |||||||
\(948\) | 86.1205 | + | 178.264i | 0.0908444 | + | 0.188042i | ||||
\(949\) | 20.2155 | 0.0213019 | ||||||||
\(950\) | −66.6868 | + | 106.278i | −0.0701966 | + | 0.111872i | ||||
\(951\) | 100.147i | 0.105307i | ||||||||
\(952\) | 66.1965 | + | 7.33354i | 0.0695341 | + | 0.00770330i | ||||
\(953\) | −1044.61 | −1.09613 | −0.548064 | − | 0.836436i | \(-0.684635\pi\) | ||||
−0.548064 | + | 0.836436i | \(0.684635\pi\) | |||||||
\(954\) | 132.034 | + | 82.8482i | 0.138401 | + | 0.0868430i | ||||
\(955\) | − | 1535.02i | − | 1.60735i | ||||||
\(956\) | −878.306 | + | 424.316i | −0.918731 | + | 0.443846i | ||||
\(957\) | 475.663 | 0.497035 | ||||||||
\(958\) | −605.004 | + | 964.188i | −0.631528 | + | 1.00646i | ||||
\(959\) | − | 201.809i | − | 0.210437i | ||||||
\(960\) | −133.854 | + | 596.706i | −0.139431 | + | 0.621568i | ||||
\(961\) | −2560.13 | −2.66403 | ||||||||
\(962\) | −118.500 | − | 74.3556i | −0.123181 | − | 0.0772927i | ||||
\(963\) | 291.038i | 0.302220i | ||||||||
\(964\) | −387.894 | − | 802.914i | −0.402379 | − | 0.832898i | ||||
\(965\) | −38.1374 | −0.0395206 | ||||||||
\(966\) | 9.80058 | − | 15.6191i | 0.0101455 | − | 0.0161688i | ||||
\(967\) | 523.468i | 0.541332i | 0.962673 | + | 0.270666i | \(0.0872440\pi\) | ||||
−0.962673 | + | 0.270666i | \(0.912756\pi\) | |||||||
\(968\) | −78.6558 | + | 709.990i | −0.0812560 | + | 0.733461i | ||||
\(969\) | 164.393 | 0.169652 | ||||||||
\(970\) | −258.867 | − | 162.432i | −0.266873 | − | 0.167456i | ||||
\(971\) | − | 533.084i | − | 0.549005i | −0.961586 | − | 0.274503i | \(-0.911487\pi\) | ||
0.961586 | − | 0.274503i | \(-0.0885132\pi\) | |||||||
\(972\) | 56.1452 | − | 27.1241i | 0.0577625 | − | 0.0279055i | ||||
\(973\) | −69.2014 | −0.0711217 | ||||||||
\(974\) | −240.173 | + | 382.761i | −0.246584 | + | 0.392979i | ||||
\(975\) | − | 33.9361i | − | 0.0348063i | ||||||
\(976\) | −717.575 | + | 904.416i | −0.735220 | + | 0.926655i | ||||
\(977\) | 1316.34 | 1.34733 | 0.673667 | − | 0.739035i | \(-0.264718\pi\) | ||||
0.673667 | + | 0.739035i | \(0.264718\pi\) | |||||||
\(978\) | 23.2174 | + | 14.5683i | 0.0237397 | + | 0.0148960i | ||||
\(979\) | − | 393.466i | − | 0.401906i | ||||||
\(980\) | 460.516 | + | 953.238i | 0.469915 | + | 0.972692i | ||||
\(981\) | −633.249 | −0.645514 | ||||||||
\(982\) | 932.110 | − | 1485.49i | 0.949195 | − | 1.51272i | ||||
\(983\) | − | 761.922i | − | 0.775098i | −0.921849 | − | 0.387549i | \(-0.873322\pi\) | ||
0.921849 | − | 0.387549i | \(-0.126678\pi\) | |||||||
\(984\) | −903.511 | − | 100.095i | −0.918203 | − | 0.101723i | ||||
\(985\) | −1536.23 | −1.55962 | ||||||||
\(986\) | −679.272 | − | 426.226i | −0.688917 | − | 0.432278i | ||||
\(987\) | − | 16.3925i | − | 0.0166085i | ||||||
\(988\) | −149.918 | + | 72.4263i | −0.151739 | + | 0.0733060i | ||||
\(989\) | 73.6925 | 0.0745121 | ||||||||
\(990\) | −99.0663 | + | 157.881i | −0.100067 | + | 0.159476i | ||||
\(991\) | 1048.30i | 1.05782i | 0.848679 | + | 0.528908i | \(0.177398\pi\) | ||||
−0.848679 | + | 0.528908i | \(0.822602\pi\) | |||||||
\(992\) | 632.720 | + | 1790.34i | 0.637822 | + | 1.80477i | ||||
\(993\) | −85.0177 | −0.0856170 | ||||||||
\(994\) | 137.775 | + | 86.4505i | 0.138607 | + | 0.0869723i | ||||
\(995\) | 816.890i | 0.820994i | ||||||||
\(996\) | 313.245 | + | 648.397i | 0.314504 | + | 0.651001i | ||||
\(997\) | −1347.16 | −1.35121 | −0.675607 | − | 0.737262i | \(-0.736118\pi\) | ||||
−0.675607 | + | 0.737262i | \(0.736118\pi\) | |||||||
\(998\) | −276.281 | + | 440.307i | −0.276835 | + | 0.441189i | ||||
\(999\) | − | 100.806i | − | 0.100907i |
(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 | 156.3.f.a.79.20 | yes | 24 | |
3.2 | odd | 2 | 468.3.f.b.235.5 | 24 | |||
4.3 | odd | 2 | inner | 156.3.f.a.79.19 | ✓ | 24 | |
8.3 | odd | 2 | 2496.3.k.e.703.17 | 24 | |||
8.5 | even | 2 | 2496.3.k.e.703.18 | 24 | |||
12.11 | even | 2 | 468.3.f.b.235.6 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.3.f.a.79.19 | ✓ | 24 | 4.3 | odd | 2 | inner | |
156.3.f.a.79.20 | yes | 24 | 1.1 | even | 1 | trivial | |
468.3.f.b.235.5 | 24 | 3.2 | odd | 2 | |||
468.3.f.b.235.6 | 24 | 12.11 | even | 2 | |||
2496.3.k.e.703.17 | 24 | 8.3 | odd | 2 | |||
2496.3.k.e.703.18 | 24 | 8.5 | even | 2 |