Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(11,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.p (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(936\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 324.11 |
Dual form | 324.2.p.a.59.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18334 | − | 0.774405i | −0.836749 | − | 0.547587i | ||||
\(3\) | −1.00564 | + | 1.41021i | −0.580606 | + | 0.814185i | ||||
\(4\) | 0.800594 | + | 1.83277i | 0.400297 | + | 0.916385i | ||||
\(5\) | −0.0544195 | + | 0.465589i | −0.0243371 | + | 0.208218i | −0.999936 | − | 0.0113446i | \(-0.996389\pi\) |
0.975599 | + | 0.219562i | \(0.0704629\pi\) | |||||||
\(6\) | 2.28209 | − | 0.889987i | 0.931658 | − | 0.363336i | ||||
\(7\) | −1.91763 | − | 3.81831i | −0.724796 | − | 1.44319i | −0.889543 | − | 0.456851i | \(-0.848977\pi\) |
0.164747 | − | 0.986336i | \(-0.447319\pi\) | |||||||
\(8\) | 0.471930 | − | 2.78878i | 0.166852 | − | 0.985982i | ||||
\(9\) | −0.977379 | − | 2.83632i | −0.325793 | − | 0.945441i | ||||
\(10\) | 0.424951 | − | 0.508808i | 0.134381 | − | 0.160899i | ||||
\(11\) | −1.09526 | + | 2.53910i | −0.330233 | + | 0.765567i | 0.669508 | + | 0.742805i | \(0.266505\pi\) |
−0.999741 | + | 0.0227616i | \(0.992754\pi\) | |||||||
\(12\) | −3.38970 | − | 0.714101i | −0.978522 | − | 0.206143i | ||||
\(13\) | 5.82606 | − | 1.38080i | 1.61586 | − | 0.382965i | 0.679406 | − | 0.733763i | \(-0.262238\pi\) |
0.936451 | + | 0.350797i | \(0.114089\pi\) | |||||||
\(14\) | −0.687710 | + | 6.00339i | −0.183798 | + | 1.60447i | ||||
\(15\) | −0.601851 | − | 0.544957i | −0.155397 | − | 0.140707i | ||||
\(16\) | −2.71810 | + | 2.93461i | −0.679524 | + | 0.733653i | ||||
\(17\) | 2.98567 | − | 0.526453i | 0.724130 | − | 0.127684i | 0.200579 | − | 0.979678i | \(-0.435718\pi\) |
0.523552 | + | 0.851994i | \(0.324607\pi\) | |||||||
\(18\) | −1.03989 | + | 4.11323i | −0.245104 | + | 0.969497i | ||||
\(19\) | 7.32660 | + | 1.29188i | 1.68084 | + | 0.296377i | 0.930939 | − | 0.365176i | \(-0.118991\pi\) |
0.749899 | + | 0.661553i | \(0.230102\pi\) | |||||||
\(20\) | −0.896885 | + | 0.273009i | −0.200550 | + | 0.0610467i | ||||
\(21\) | 7.31307 | + | 1.13559i | 1.59584 | + | 0.247806i | ||||
\(22\) | 3.26236 | − | 2.15645i | 0.695537 | − | 0.459756i | ||||
\(23\) | −0.566827 | − | 0.284671i | −0.118192 | − | 0.0593580i | 0.388721 | − | 0.921356i | \(-0.372917\pi\) |
−0.506913 | + | 0.861997i | \(0.669213\pi\) | |||||||
\(24\) | 3.45817 | + | 3.47002i | 0.705896 | + | 0.708316i | ||||
\(25\) | 4.65141 | + | 1.10241i | 0.930283 | + | 0.220481i | ||||
\(26\) | −7.96351 | − | 2.87777i | −1.56177 | − | 0.564377i | ||||
\(27\) | 4.98270 | + | 1.47401i | 0.958921 | + | 0.283673i | ||||
\(28\) | 5.46285 | − | 6.57150i | 1.03238 | − | 1.24190i | ||||
\(29\) | −6.28669 | + | 1.88211i | −1.16741 | + | 0.349499i | −0.811122 | − | 0.584877i | \(-0.801143\pi\) |
−0.356287 | + | 0.934377i | \(0.615957\pi\) | |||||||
\(30\) | 0.290178 | + | 1.11095i | 0.0529790 | + | 0.202830i | ||||
\(31\) | −2.91826 | − | 4.43700i | −0.524135 | − | 0.796908i | 0.472286 | − | 0.881445i | \(-0.343429\pi\) |
−0.996420 | + | 0.0845377i | \(0.973059\pi\) | |||||||
\(32\) | 5.48902 | − | 1.36774i | 0.970330 | − | 0.241785i | ||||
\(33\) | −2.47922 | − | 4.09796i | −0.431577 | − | 0.713364i | ||||
\(34\) | −3.94075 | − | 1.68914i | −0.675833 | − | 0.289685i | ||||
\(35\) | 1.88212 | − | 0.685036i | 0.318136 | − | 0.115792i | ||||
\(36\) | 4.41585 | − | 4.06206i | 0.735974 | − | 0.677009i | ||||
\(37\) | −2.98790 | − | 1.08751i | −0.491208 | − | 0.178785i | 0.0845274 | − | 0.996421i | \(-0.473062\pi\) |
−0.575735 | + | 0.817636i | \(0.695284\pi\) | |||||||
\(38\) | −7.66943 | − | 7.20249i | −1.24415 | − | 1.16840i | ||||
\(39\) | −3.91169 | + | 9.60455i | −0.626372 | + | 1.53796i | ||||
\(40\) | 1.27274 | + | 0.371489i | 0.201238 | + | 0.0587376i | ||||
\(41\) | 8.26630 | − | 7.79885i | 1.29098 | − | 1.21798i | 0.329165 | − | 0.944272i | \(-0.393233\pi\) |
0.961814 | − | 0.273703i | \(-0.0882486\pi\) | |||||||
\(42\) | −7.77445 | − | 7.00706i | −1.19962 | − | 1.08121i | ||||
\(43\) | 4.56266 | − | 3.39677i | 0.695799 | − | 0.518003i | −0.190168 | − | 0.981752i | \(-0.560903\pi\) |
0.885967 | + | 0.463748i | \(0.153496\pi\) | |||||||
\(44\) | −5.53044 | + | 0.0254270i | −0.833746 | + | 0.00383327i | ||||
\(45\) | 1.37375 | − | 0.300705i | 0.204786 | − | 0.0448265i | ||||
\(46\) | 0.450299 | + | 0.775817i | 0.0663930 | + | 0.114388i | ||||
\(47\) | 0.597073 | + | 0.392701i | 0.0870921 | + | 0.0572814i | 0.592308 | − | 0.805712i | \(-0.298217\pi\) |
−0.505216 | + | 0.862993i | \(0.668587\pi\) | |||||||
\(48\) | −1.40499 | − | 6.78425i | −0.202793 | − | 0.979222i | ||||
\(49\) | −6.72211 | + | 9.02936i | −0.960302 | + | 1.28991i | ||||
\(50\) | −4.65050 | − | 4.90660i | −0.657680 | − | 0.693898i | ||||
\(51\) | −2.26009 | + | 4.73983i | −0.316476 | + | 0.663710i | ||||
\(52\) | 7.19500 | + | 9.57237i | 0.997767 | + | 1.32745i | ||||
\(53\) | 3.18889 | − | 1.84111i | 0.438028 | − | 0.252895i | −0.264733 | − | 0.964322i | \(-0.585284\pi\) |
0.702761 | + | 0.711426i | \(0.251950\pi\) | |||||||
\(54\) | −4.75476 | − | 5.60288i | −0.647040 | − | 0.762456i | ||||
\(55\) | −1.12257 | − | 0.648117i | −0.151368 | − | 0.0873921i | ||||
\(56\) | −11.5534 | + | 3.54587i | −1.54389 | + | 0.473836i | ||||
\(57\) | −9.18973 | + | 9.03288i | −1.21721 | + | 1.19643i | ||||
\(58\) | 8.89682 | + | 2.64126i | 1.16821 | + | 0.346815i | ||||
\(59\) | 1.27603 | + | 2.95816i | 0.166125 | + | 0.385120i | 0.980860 | − | 0.194712i | \(-0.0623773\pi\) |
−0.814736 | + | 0.579832i | \(0.803118\pi\) | |||||||
\(60\) | 0.516943 | − | 1.53934i | 0.0667370 | − | 0.198728i | ||||
\(61\) | 0.334705 | − | 5.74666i | 0.0428545 | − | 0.735784i | −0.906622 | − | 0.421945i | \(-0.861348\pi\) |
0.949476 | − | 0.313839i | \(-0.101615\pi\) | |||||||
\(62\) | 0.0172650 | + | 7.51039i | 0.00219266 | + | 0.953821i | ||||
\(63\) | −8.95572 | + | 9.17096i | −1.12832 | + | 1.15543i | ||||
\(64\) | −7.55456 | − | 2.63222i | −0.944321 | − | 0.329027i | ||||
\(65\) | 0.325834 | + | 2.78769i | 0.0404147 | + | 0.345770i | ||||
\(66\) | −0.239715 | + | 6.76921i | −0.0295068 | + | 0.833232i | ||||
\(67\) | −0.618183 | − | 0.185072i | −0.0755231 | − | 0.0226101i | 0.248819 | − | 0.968550i | \(-0.419958\pi\) |
−0.324342 | + | 0.945940i | \(0.605143\pi\) | |||||||
\(68\) | 3.35518 | + | 5.05056i | 0.406875 | + | 0.612471i | ||||
\(69\) | 0.971469 | − | 0.513068i | 0.116951 | − | 0.0617661i | ||||
\(70\) | −2.75769 | − | 0.646892i | −0.329606 | − | 0.0773183i | ||||
\(71\) | 6.02886 | − | 5.05881i | 0.715494 | − | 0.600371i | −0.210641 | − | 0.977564i | \(-0.567555\pi\) |
0.926135 | + | 0.377193i | \(0.123111\pi\) | |||||||
\(72\) | −8.37113 | + | 1.38715i | −0.986547 | + | 0.163477i | ||||
\(73\) | 1.12442 | + | 0.943504i | 0.131604 | + | 0.110429i | 0.706214 | − | 0.707999i | \(-0.250402\pi\) |
−0.574610 | + | 0.818427i | \(0.694846\pi\) | |||||||
\(74\) | 2.69354 | + | 3.60074i | 0.313117 | + | 0.418577i | ||||
\(75\) | −6.23227 | + | 5.45084i | −0.719640 | + | 0.629409i | ||||
\(76\) | 3.49792 | + | 14.4622i | 0.401239 | + | 1.65893i | ||||
\(77\) | 11.7954 | − | 0.687003i | 1.34421 | − | 0.0782912i | ||||
\(78\) | 12.0667 | − | 8.33622i | 1.36628 | − | 0.943891i | ||||
\(79\) | −3.18709 | − | 3.00686i | −0.358575 | − | 0.338298i | 0.485781 | − | 0.874081i | \(-0.338535\pi\) |
−0.844356 | + | 0.535782i | \(0.820017\pi\) | |||||||
\(80\) | −1.21840 | − | 1.42522i | −0.136222 | − | 0.159344i | ||||
\(81\) | −7.08946 | + | 5.54433i | −0.787718 | + | 0.616036i | ||||
\(82\) | −15.8213 | + | 2.82724i | −1.74717 | + | 0.312217i | ||||
\(83\) | 9.78501 | − | 10.3715i | 1.07404 | − | 1.13842i | 0.0841734 | − | 0.996451i | \(-0.473175\pi\) |
0.989871 | − | 0.141970i | \(-0.0453435\pi\) | |||||||
\(84\) | 3.77353 | + | 14.3123i | 0.411725 | + | 1.56160i | ||||
\(85\) | 0.0826323 | + | 1.41874i | 0.00896273 | + | 0.153884i | ||||
\(86\) | −8.02966 | + | 0.486199i | −0.865861 | + | 0.0524281i | ||||
\(87\) | 3.66797 | − | 10.7583i | 0.393248 | − | 1.15341i | ||||
\(88\) | 6.56409 | + | 4.25271i | 0.699735 | + | 0.453341i | ||||
\(89\) | −11.2165 | + | 13.3673i | −1.18894 | + | 1.41693i | −0.303089 | + | 0.952962i | \(0.598018\pi\) |
−0.885854 | + | 0.463965i | \(0.846426\pi\) | |||||||
\(90\) | −1.85848 | − | 0.708000i | −0.195901 | − | 0.0746298i | ||||
\(91\) | −16.4446 | − | 19.5979i | −1.72386 | − | 2.05441i | ||||
\(92\) | 0.0679386 | − | 1.26677i | 0.00708309 | − | 0.132070i | ||||
\(93\) | 9.19181 | + | 0.346663i | 0.953146 | + | 0.0359473i | ||||
\(94\) | −0.402432 | − | 0.927076i | −0.0415077 | − | 0.0956206i | ||||
\(95\) | −1.00019 | + | 3.34088i | −0.102618 | + | 0.342767i | ||||
\(96\) | −3.59117 | + | 9.11611i | −0.366522 | + | 0.930409i | ||||
\(97\) | −6.61046 | + | 0.772651i | −0.671190 | + | 0.0784509i | −0.444860 | − | 0.895600i | \(-0.646747\pi\) |
−0.226330 | + | 0.974051i | \(0.572673\pi\) | |||||||
\(98\) | 14.9469 | − | 5.47919i | 1.50987 | − | 0.553481i | ||||
\(99\) | 8.27219 | + | 0.624850i | 0.831386 | + | 0.0627998i | ||||
\(100\) | 1.70344 | + | 9.40755i | 0.170344 | + | 0.940755i | ||||
\(101\) | −17.5045 | − | 1.01952i | −1.74177 | − | 0.101446i | −0.842457 | − | 0.538763i | \(-0.818892\pi\) |
−0.899308 | + | 0.437317i | \(0.855929\pi\) | |||||||
\(102\) | 6.34501 | − | 3.85862i | 0.628250 | − | 0.382060i | ||||
\(103\) | −3.09433 | + | 1.33476i | −0.304893 | + | 0.131518i | −0.543029 | − | 0.839714i | \(-0.682723\pi\) |
0.238136 | + | 0.971232i | \(0.423463\pi\) | |||||||
\(104\) | −1.10126 | − | 16.8992i | −0.107987 | − | 1.65710i | ||||
\(105\) | −0.926690 | + | 3.34308i | −0.0904357 | + | 0.326251i | ||||
\(106\) | −5.19931 | − | 0.290834i | −0.505001 | − | 0.0282483i | ||||
\(107\) | −0.273062 | + | 0.472958i | −0.0263979 | + | 0.0457226i | −0.878923 | − | 0.476964i | \(-0.841737\pi\) |
0.852525 | + | 0.522687i | \(0.175070\pi\) | |||||||
\(108\) | 1.28760 | + | 10.3122i | 0.123899 | + | 0.992295i | ||||
\(109\) | 3.43891 | + | 5.95636i | 0.329388 | + | 0.570516i | 0.982390 | − | 0.186839i | \(-0.0598244\pi\) |
−0.653003 | + | 0.757355i | \(0.726491\pi\) | |||||||
\(110\) | 0.826481 | + | 1.63627i | 0.0788018 | + | 0.156012i | ||||
\(111\) | 4.53836 | − | 3.11993i | 0.430763 | − | 0.296130i | ||||
\(112\) | 16.4176 | + | 4.75105i | 1.55132 | + | 0.448932i | ||||
\(113\) | −0.433437 | − | 0.322682i | −0.0407743 | − | 0.0303553i | 0.576579 | − | 0.817042i | \(-0.304387\pi\) |
−0.617353 | + | 0.786686i | \(0.711795\pi\) | |||||||
\(114\) | 17.8697 | − | 3.57240i | 1.67365 | − | 0.334586i | ||||
\(115\) | 0.163386 | − | 0.248416i | 0.0152358 | − | 0.0231650i | ||||
\(116\) | −8.48257 | − | 10.0153i | −0.787586 | − | 0.929893i | ||||
\(117\) | −9.61066 | − | 15.1750i | −0.888506 | − | 1.40293i | ||||
\(118\) | 0.780840 | − | 4.48868i | 0.0718822 | − | 0.413216i | ||||
\(119\) | −7.73557 | − | 10.3907i | −0.709118 | − | 0.952511i | ||||
\(120\) | −1.80380 | + | 1.42125i | −0.164663 | + | 0.129741i | ||||
\(121\) | 2.30123 | + | 2.43917i | 0.209203 | + | 0.221742i | ||||
\(122\) | −4.84631 | + | 6.54106i | −0.438764 | + | 0.592200i | ||||
\(123\) | 2.68509 | + | 19.5000i | 0.242107 | + | 1.75826i | ||||
\(124\) | 5.79565 | − | 8.90073i | 0.520465 | − | 0.799309i | ||||
\(125\) | −1.56802 | + | 4.30810i | −0.140248 | + | 0.385328i | ||||
\(126\) | 17.6997 | − | 3.91702i | 1.57682 | − | 0.348956i | ||||
\(127\) | 1.18587 | + | 3.25816i | 0.105229 | + | 0.289115i | 0.981122 | − | 0.193391i | \(-0.0619487\pi\) |
−0.875892 | + | 0.482507i | \(0.839726\pi\) | |||||||
\(128\) | 6.90123 | + | 8.96510i | 0.609988 | + | 0.792410i | ||||
\(129\) | 0.201772 | + | 9.85024i | 0.0177650 | + | 0.867265i | ||||
\(130\) | 1.77323 | − | 3.55111i | 0.155522 | − | 0.311453i | ||||
\(131\) | 5.01118 | − | 3.29590i | 0.437829 | − | 0.287964i | −0.311396 | − | 0.950280i | \(-0.600797\pi\) |
0.749225 | + | 0.662316i | \(0.230426\pi\) | |||||||
\(132\) | 5.52577 | − | 7.82465i | 0.480957 | − | 0.681049i | ||||
\(133\) | −9.11691 | − | 30.4526i | −0.790537 | − | 2.64058i | ||||
\(134\) | 0.588202 | + | 0.697728i | 0.0508129 | + | 0.0602745i | ||||
\(135\) | −0.957438 | + | 2.23967i | −0.0824031 | + | 0.192760i | ||||
\(136\) | −0.0591365 | − | 8.57481i | −0.00507091 | − | 0.735284i | ||||
\(137\) | 1.78174 | − | 7.51773i | 0.152224 | − | 0.642283i | −0.842411 | − | 0.538836i | \(-0.818864\pi\) |
0.994635 | − | 0.103448i | \(-0.0329874\pi\) | |||||||
\(138\) | −1.54690 | − | 0.145176i | −0.131681 | − | 0.0123582i | ||||
\(139\) | −8.01954 | + | 15.9682i | −0.680209 | + | 1.35441i | 0.242969 | + | 0.970034i | \(0.421879\pi\) |
−0.923178 | + | 0.384373i | \(0.874418\pi\) | |||||||
\(140\) | 2.76233 | + | 2.90106i | 0.233459 | + | 0.245184i | ||||
\(141\) | −1.15423 | + | 0.447082i | −0.0972038 | + | 0.0376511i | ||||
\(142\) | −11.0518 | + | 1.31753i | −0.927444 | + | 0.110564i | ||||
\(143\) | −2.87506 | + | 16.3053i | −0.240424 | + | 1.36351i | ||||
\(144\) | 10.9801 | + | 4.84117i | 0.915010 | + | 0.403431i | ||||
\(145\) | −0.534171 | − | 3.02943i | −0.0443605 | − | 0.251581i | ||||
\(146\) | −0.599924 | − | 1.98725i | −0.0496501 | − | 0.164466i | ||||
\(147\) | −5.97327 | − | 18.5599i | −0.492667 | − | 1.53079i | ||||
\(148\) | −0.398946 | − | 6.34679i | −0.0327931 | − | 0.521703i | ||||
\(149\) | 0.473918 | + | 1.99962i | 0.0388249 | + | 0.163815i | 0.989004 | − | 0.147890i | \(-0.0472481\pi\) |
−0.950179 | + | 0.311705i | \(0.899100\pi\) | |||||||
\(150\) | 11.5961 | − | 1.62391i | 0.946814 | − | 0.132592i | ||||
\(151\) | 8.58724 | + | 3.70418i | 0.698820 | + | 0.301441i | 0.715692 | − | 0.698416i | \(-0.246112\pi\) |
−0.0168719 | + | 0.999858i | \(0.505371\pi\) | |||||||
\(152\) | 7.06040 | − | 19.8226i | 0.572674 | − | 1.60782i | ||||
\(153\) | −4.41132 | − | 7.95377i | −0.356634 | − | 0.643024i | ||||
\(154\) | −14.4900 | − | 8.32144i | −1.16764 | − | 0.670561i | ||||
\(155\) | 2.22462 | − | 1.11725i | 0.178686 | − | 0.0897395i | ||||
\(156\) | −20.7346 | + | 0.520107i | −1.66010 | + | 0.0416419i | ||||
\(157\) | 1.75114 | + | 0.204679i | 0.139756 | + | 0.0163351i | 0.185683 | − | 0.982610i | \(-0.440550\pi\) |
−0.0459273 | + | 0.998945i | \(0.514624\pi\) | |||||||
\(158\) | 1.44288 | + | 6.02624i | 0.114790 | + | 0.479422i | ||||
\(159\) | −0.610528 | + | 6.34849i | −0.0484180 | + | 0.503468i | ||||
\(160\) | 0.338095 | + | 2.63005i | 0.0267287 | + | 0.207924i | ||||
\(161\) | 2.71022i | 0.213595i | ||||||||
\(162\) | 12.6828 | − | 1.07072i | 0.996455 | − | 0.0841237i | ||||
\(163\) | 1.71941i | 0.134674i | 0.997730 | + | 0.0673371i | \(0.0214503\pi\) | ||||
−0.997730 | + | 0.0673371i | \(0.978550\pi\) | |||||||
\(164\) | 20.9115 | + | 8.90651i | 1.63291 | + | 0.695482i | ||||
\(165\) | 2.04288 | − | 0.931289i | 0.159038 | − | 0.0725007i | ||||
\(166\) | −19.6108 | + | 4.69547i | −1.52209 | + | 0.364439i | ||||
\(167\) | 17.0444 | + | 1.99220i | 1.31893 | + | 0.154161i | 0.746277 | − | 0.665636i | \(-0.231840\pi\) |
0.572655 | + | 0.819797i | \(0.305914\pi\) | |||||||
\(168\) | 6.61816 | − | 19.8586i | 0.510602 | − | 1.53212i | ||||
\(169\) | 20.4191 | − | 10.2549i | 1.57070 | − | 0.788835i | ||||
\(170\) | 1.00090 | − | 1.74285i | 0.0767654 | − | 0.133670i | ||||
\(171\) | −3.49669 | − | 22.0433i | −0.267398 | − | 1.68569i | ||||
\(172\) | 9.87835 | + | 5.64287i | 0.753217 | + | 0.430265i | ||||
\(173\) | 2.33941 | + | 1.00912i | 0.177862 | + | 0.0767223i | 0.483149 | − | 0.875538i | \(-0.339493\pi\) |
−0.305287 | + | 0.952261i | \(0.598752\pi\) | |||||||
\(174\) | −12.6717 | + | 9.89021i | −0.960641 | + | 0.749775i | ||||
\(175\) | −4.71036 | − | 19.8746i | −0.356070 | − | 1.50238i | ||||
\(176\) | −4.47424 | − | 10.1157i | −0.337259 | − | 0.762498i | ||||
\(177\) | −5.45485 | − | 1.17538i | −0.410012 | − | 0.0883470i | ||||
\(178\) | 23.6246 | − | 7.13195i | 1.77074 | − | 0.534562i | ||||
\(179\) | −2.52971 | − | 14.3467i | −0.189079 | − | 1.07232i | −0.920601 | − | 0.390504i | \(-0.872301\pi\) |
0.731522 | − | 0.681818i | \(-0.238810\pi\) | |||||||
\(180\) | 1.65094 | + | 2.27702i | 0.123054 | + | 0.169719i | ||||
\(181\) | −1.71890 | + | 9.74838i | −0.127765 | + | 0.724591i | 0.851862 | + | 0.523766i | \(0.175473\pi\) |
−0.979627 | + | 0.200825i | \(0.935638\pi\) | |||||||
\(182\) | 4.28285 | + | 35.9257i | 0.317466 | + | 2.66299i | ||||
\(183\) | 7.76740 | + | 6.25107i | 0.574182 | + | 0.462092i | ||||
\(184\) | −1.06139 | + | 1.44641i | −0.0782465 | + | 0.106631i | ||||
\(185\) | 0.668931 | − | 1.33195i | 0.0491808 | − | 0.0979270i | ||||
\(186\) | −10.6086 | − | 7.52840i | −0.777859 | − | 0.552009i | ||||
\(187\) | −1.93336 | + | 8.15750i | −0.141382 | + | 0.596536i | ||||
\(188\) | −0.241718 | + | 1.40869i | −0.0176291 | + | 0.102739i | ||||
\(189\) | −3.92674 | − | 21.8521i | −0.285628 | − | 1.58951i | ||||
\(190\) | 3.77076 | − | 3.17885i | 0.273560 | − | 0.230618i | ||||
\(191\) | 3.41905 | + | 11.4204i | 0.247394 | + | 0.826352i | 0.988005 | + | 0.154419i | \(0.0493506\pi\) |
−0.740612 | + | 0.671933i | \(0.765464\pi\) | |||||||
\(192\) | 11.3091 | − | 8.00646i | 0.816167 | − | 0.577816i | ||||
\(193\) | −9.44575 | + | 6.21257i | −0.679920 | + | 0.447191i | −0.841922 | − | 0.539600i | \(-0.818575\pi\) |
0.162001 | + | 0.986791i | \(0.448205\pi\) | |||||||
\(194\) | 8.42077 | + | 4.20486i | 0.604576 | + | 0.301891i | ||||
\(195\) | −4.25889 | − | 2.34391i | −0.304986 | − | 0.167851i | ||||
\(196\) | −21.9304 | − | 5.09123i | −1.56646 | − | 0.363660i | ||||
\(197\) | −1.83879 | − | 5.05205i | −0.131009 | − | 0.359943i | 0.856793 | − | 0.515660i | \(-0.172453\pi\) |
−0.987802 | + | 0.155717i | \(0.950231\pi\) | |||||||
\(198\) | −9.30494 | − | 7.14543i | −0.661273 | − | 0.507804i | ||||
\(199\) | −1.83701 | + | 5.04713i | −0.130222 | + | 0.357782i | −0.987619 | − | 0.156875i | \(-0.949858\pi\) |
0.857397 | + | 0.514656i | \(0.172080\pi\) | |||||||
\(200\) | 5.26950 | − | 12.4515i | 0.372610 | − | 0.880454i | ||||
\(201\) | 0.882660 | − | 0.685652i | 0.0622580 | − | 0.0483622i | ||||
\(202\) | 19.9243 | + | 14.7620i | 1.40187 | + | 1.03865i | ||||
\(203\) | 19.2420 | + | 20.3954i | 1.35053 | + | 1.43147i | ||||
\(204\) | −10.4964 | − | 0.347548i | −0.734898 | − | 0.0243332i | ||||
\(205\) | 3.18121 | + | 4.27310i | 0.222185 | + | 0.298447i | ||||
\(206\) | 4.69529 | + | 0.816782i | 0.327136 | + | 0.0569079i | ||||
\(207\) | −0.253415 | + | 1.88594i | −0.0176135 | + | 0.131082i | ||||
\(208\) | −11.7837 | + | 20.8504i | −0.817051 | + | 1.44571i | ||||
\(209\) | −11.3047 | + | 17.1880i | −0.781965 | + | 1.18892i | ||||
\(210\) | 3.68549 | − | 3.23837i | 0.254323 | − | 0.223469i | ||||
\(211\) | −2.06643 | − | 1.53840i | −0.142259 | − | 0.105908i | 0.523677 | − | 0.851917i | \(-0.324560\pi\) |
−0.665935 | + | 0.746009i | \(0.731967\pi\) | |||||||
\(212\) | 5.92733 | + | 4.37053i | 0.407091 | + | 0.300169i | ||||
\(213\) | 1.07113 | + | 13.5893i | 0.0733924 | + | 0.931123i | ||||
\(214\) | 0.689387 | − | 0.348210i | 0.0471255 | − | 0.0238031i | ||||
\(215\) | 1.33320 | + | 2.30917i | 0.0909236 | + | 0.157484i | ||||
\(216\) | 6.46217 | − | 13.2000i | 0.439695 | − | 0.898147i | ||||
\(217\) | −11.3457 | + | 19.6513i | −0.770197 | + | 1.33402i | ||||
\(218\) | 0.543234 | − | 9.71152i | 0.0367924 | − | 0.657747i | ||||
\(219\) | −2.46130 | + | 0.636849i | −0.166319 | + | 0.0430342i | ||||
\(220\) | 0.289125 | − | 2.57629i | 0.0194928 | − | 0.173694i | ||||
\(221\) | 16.6677 | − | 7.18976i | 1.12119 | − | 0.483635i | ||||
\(222\) | −7.78652 | + | 0.177407i | −0.522597 | + | 0.0119068i | ||||
\(223\) | −8.74007 | − | 0.509051i | −0.585278 | − | 0.0340886i | −0.237048 | − | 0.971498i | \(-0.576180\pi\) |
−0.348230 | + | 0.937409i | \(0.613217\pi\) | |||||||
\(224\) | −15.7484 | − | 18.3360i | −1.05223 | − | 1.22512i | ||||
\(225\) | −1.41942 | − | 14.2704i | −0.0946278 | − | 0.951359i | ||||
\(226\) | 0.263017 | + | 0.717498i | 0.0174957 | + | 0.0477273i | ||||
\(227\) | 2.23649 | − | 0.261408i | 0.148441 | − | 0.0173502i | −0.0415479 | − | 0.999137i | \(-0.513229\pi\) |
0.189989 | + | 0.981786i | \(0.439155\pi\) | |||||||
\(228\) | −23.9124 | − | 9.61101i | −1.58364 | − | 0.636505i | ||||
\(229\) | 0.134999 | − | 0.450928i | 0.00892098 | − | 0.0297982i | −0.953413 | − | 0.301668i | \(-0.902457\pi\) |
0.962334 | + | 0.271869i | \(0.0876419\pi\) | |||||||
\(230\) | −0.385716 | + | 0.167435i | −0.0254334 | + | 0.0110403i | ||||
\(231\) | −10.8931 | + | 17.3248i | −0.716712 | + | 1.13989i | ||||
\(232\) | 2.28191 | + | 18.4204i | 0.149815 | + | 1.20936i | ||||
\(233\) | −6.62380 | − | 7.89394i | −0.433939 | − | 0.517149i | 0.504115 | − | 0.863636i | \(-0.331819\pi\) |
−0.938055 | + | 0.346488i | \(0.887374\pi\) | |||||||
\(234\) | −0.378907 | + | 25.3998i | −0.0247699 | + | 1.66043i | ||||
\(235\) | −0.215330 | + | 0.256620i | −0.0140466 | + | 0.0167400i | ||||
\(236\) | −4.40006 | + | 4.70695i | −0.286419 | + | 0.306397i | ||||
\(237\) | 7.44536 | − | 1.47064i | 0.483628 | − | 0.0955284i | ||||
\(238\) | 1.10723 | + | 18.2862i | 0.0717712 | + | 1.18532i | ||||
\(239\) | −1.33463 | − | 22.9148i | −0.0863302 | − | 1.48223i | −0.712019 | − | 0.702160i | \(-0.752219\pi\) |
0.625689 | − | 0.780073i | \(-0.284818\pi\) | |||||||
\(240\) | 3.23513 | − | 0.284952i | 0.208827 | − | 0.0183936i | ||||
\(241\) | −4.65448 | + | 4.93346i | −0.299821 | + | 0.317792i | −0.859717 | − | 0.510771i | \(-0.829360\pi\) |
0.559895 | + | 0.828563i | \(0.310841\pi\) | |||||||
\(242\) | −0.834244 | − | 4.66845i | −0.0536272 | − | 0.300100i | ||||
\(243\) | −0.689220 | − | 15.5732i | −0.0442135 | − | 0.999022i | ||||
\(244\) | 10.8003 | − | 3.98730i | 0.691416 | − | 0.255261i | ||||
\(245\) | −3.83815 | − | 3.62111i | −0.245211 | − | 0.231344i | ||||
\(246\) | 11.9235 | − | 25.1546i | 0.760217 | − | 1.60380i | ||||
\(247\) | 44.4690 | − | 2.59003i | 2.82950 | − | 0.164799i | ||||
\(248\) | −13.7510 | + | 6.04442i | −0.873190 | + | 0.383821i | ||||
\(249\) | 4.78580 | + | 24.2289i | 0.303288 | + | 1.53544i | ||||
\(250\) | 5.19171 | − | 3.88367i | 0.328353 | − | 0.245625i | ||||
\(251\) | 17.9443 | + | 15.0570i | 1.13263 | + | 0.950391i | 0.999173 | − | 0.0406636i | \(-0.0129472\pi\) |
0.133459 | + | 0.991054i | \(0.457392\pi\) | |||||||
\(252\) | −23.9782 | − | 9.07157i | −1.51048 | − | 0.571455i | ||||
\(253\) | 1.34363 | − | 1.12744i | 0.0844734 | − | 0.0708816i | ||||
\(254\) | 1.11984 | − | 4.77387i | 0.0702652 | − | 0.299539i | ||||
\(255\) | −2.08382 | − | 1.31021i | −0.130494 | − | 0.0820487i | ||||
\(256\) | −1.22389 | − | 15.9531i | −0.0764933 | − | 0.997070i | ||||
\(257\) | −3.79756 | − | 1.13691i | −0.236885 | − | 0.0709187i | 0.166160 | − | 0.986099i | \(-0.446863\pi\) |
−0.403045 | + | 0.915180i | \(0.632048\pi\) | |||||||
\(258\) | 7.38930 | − | 11.8124i | 0.460038 | − | 0.735411i | ||||
\(259\) | 1.57724 | + | 13.4942i | 0.0980052 | + | 0.838488i | ||||
\(260\) | −4.84833 | + | 2.82899i | −0.300681 | + | 0.175446i | ||||
\(261\) | 11.4828 | + | 15.9915i | 0.710765 | + | 0.989852i | ||||
\(262\) | −8.48230 | + | 0.0194992i | −0.524038 | + | 0.00120467i | ||||
\(263\) | −0.726793 | + | 12.4785i | −0.0448160 | + | 0.769460i | 0.898788 | + | 0.438384i | \(0.144449\pi\) |
−0.943604 | + | 0.331077i | \(0.892588\pi\) | |||||||
\(264\) | −12.5983 | + | 4.98005i | −0.775373 | + | 0.306501i | ||||
\(265\) | 0.683660 | + | 1.58490i | 0.0419969 | + | 0.0973598i | ||||
\(266\) | −12.7942 | + | 43.0960i | −0.784464 | + | 2.64239i | ||||
\(267\) | −7.57092 | − | 29.2602i | −0.463333 | − | 1.79070i | ||||
\(268\) | −0.155720 | − | 1.28116i | −0.00951209 | − | 0.0782591i | ||||
\(269\) | 13.7973 | + | 7.96585i | 0.841233 | + | 0.485686i | 0.857683 | − | 0.514178i | \(-0.171903\pi\) |
−0.0164499 | + | 0.999865i | \(0.505236\pi\) | |||||||
\(270\) | 2.86739 | − | 1.90885i | 0.174504 | − | 0.116169i | ||||
\(271\) | −5.09165 | + | 2.93967i | −0.309296 | + | 0.178572i | −0.646611 | − | 0.762820i | \(-0.723814\pi\) |
0.337316 | + | 0.941392i | \(0.390481\pi\) | |||||||
\(272\) | −6.57039 | + | 10.1927i | −0.398389 | + | 0.618024i | ||||
\(273\) | 44.1744 | − | 3.48188i | 2.67355 | − | 0.210733i | ||||
\(274\) | −7.93017 | + | 7.51626i | −0.479079 | + | 0.454074i | ||||
\(275\) | −7.89362 | + | 10.6030i | −0.476003 | + | 0.639383i | ||||
\(276\) | 1.71809 | + | 1.36972i | 0.103417 | + | 0.0824475i | ||||
\(277\) | −12.3902 | − | 8.14914i | −0.744453 | − | 0.489635i | 0.119733 | − | 0.992806i | \(-0.461796\pi\) |
−0.864187 | + | 0.503171i | \(0.832166\pi\) | |||||||
\(278\) | 21.8557 | − | 12.6855i | 1.31082 | − | 0.760825i | ||||
\(279\) | −9.73251 | + | 12.6137i | −0.582670 | + | 0.755165i | ||||
\(280\) | −1.02218 | − | 5.57210i | −0.0610871 | − | 0.332997i | ||||
\(281\) | −2.92434 | + | 2.17709i | −0.174451 | + | 0.129874i | −0.680843 | − | 0.732429i | \(-0.738386\pi\) |
0.506392 | + | 0.862304i | \(0.330979\pi\) | |||||||
\(282\) | 1.71207 | + | 0.364791i | 0.101952 | + | 0.0217230i | ||||
\(283\) | −15.1235 | + | 14.2683i | −0.898999 | + | 0.848162i | −0.989021 | − | 0.147778i | \(-0.952788\pi\) |
0.0900213 | + | 0.995940i | \(0.471306\pi\) | |||||||
\(284\) | 14.0983 | + | 6.99946i | 0.836581 | + | 0.415341i | ||||
\(285\) | −3.70550 | − | 4.77020i | −0.219495 | − | 0.282562i | ||||
\(286\) | 16.0291 | − | 17.0682i | 0.947818 | − | 1.00927i | ||||
\(287\) | −45.6302 | − | 16.6080i | −2.69346 | − | 0.980341i | ||||
\(288\) | −9.24420 | − | 14.2318i | −0.544720 | − | 0.838618i | ||||
\(289\) | −7.33773 | + | 2.67072i | −0.431631 | + | 0.157101i | ||||
\(290\) | −1.71390 | + | 3.99852i | −0.100644 | + | 0.234801i | ||||
\(291\) | 5.55813 | − | 10.0991i | 0.325824 | − | 0.592022i | ||||
\(292\) | −0.829019 | + | 2.81618i | −0.0485147 | + | 0.164804i | ||||
\(293\) | 2.28238 | + | 3.47020i | 0.133338 | + | 0.202731i | 0.895985 | − | 0.444084i | \(-0.146471\pi\) |
−0.762647 | + | 0.646815i | \(0.776101\pi\) | |||||||
\(294\) | −7.30443 | + | 26.5884i | −0.426003 | + | 1.55067i | ||||
\(295\) | −1.44673 | + | 0.433122i | −0.0842318 | + | 0.0252173i | ||||
\(296\) | −4.44290 | + | 7.81937i | −0.258238 | + | 0.454492i | ||||
\(297\) | −9.20001 | + | 11.0371i | −0.533838 | + | 0.640440i | ||||
\(298\) | 0.987707 | − | 2.73324i | 0.0572163 | − | 0.158332i | ||||
\(299\) | −3.69544 | − | 0.875835i | −0.213713 | − | 0.0506509i | ||||
\(300\) | −14.9797 | − | 7.05840i | −0.864851 | − | 0.407517i | ||||
\(301\) | −21.7194 | − | 10.9079i | −1.25189 | − | 0.628722i | ||||
\(302\) | −7.29311 | − | 11.0333i | −0.419671 | − | 0.634895i | ||||
\(303\) | 19.0410 | − | 23.6598i | 1.09388 | − | 1.35922i | ||||
\(304\) | −23.7056 | + | 17.9893i | −1.35961 | + | 1.03176i | ||||
\(305\) | 2.65736 | + | 0.468565i | 0.152160 | + | 0.0268299i | ||||
\(306\) | −0.939339 | + | 12.8282i | −0.0536984 | + | 0.733338i | ||||
\(307\) | −25.0611 | + | 4.41895i | −1.43031 | + | 0.252203i | −0.834539 | − | 0.550949i | \(-0.814266\pi\) |
−0.595774 | + | 0.803152i | \(0.703155\pi\) | |||||||
\(308\) | 10.7024 | + | 21.0682i | 0.609828 | + | 1.20047i | ||||
\(309\) | 1.22948 | − | 5.70594i | 0.0699428 | − | 0.324599i | ||||
\(310\) | −3.49769 | − | 0.400673i | −0.198656 | − | 0.0227567i | ||||
\(311\) | −30.7952 | + | 7.29861i | −1.74624 | + | 0.413866i | −0.974915 | − | 0.222578i | \(-0.928553\pi\) |
−0.771323 | + | 0.636444i | \(0.780405\pi\) | |||||||
\(312\) | 24.9389 | + | 15.4415i | 1.41189 | + | 0.874204i | ||||
\(313\) | 8.29213 | − | 19.2233i | 0.468699 | − | 1.08657i | −0.505897 | − | 0.862594i | \(-0.668838\pi\) |
0.974596 | − | 0.223972i | \(-0.0719023\pi\) | |||||||
\(314\) | −1.91369 | − | 1.59829i | −0.107996 | − | 0.0901969i | ||||
\(315\) | −3.78253 | − | 4.66876i | −0.213121 | − | 0.263055i | ||||
\(316\) | 2.95932 | − | 8.24847i | 0.166475 | − | 0.464013i | ||||
\(317\) | −3.36461 | − | 6.69949i | −0.188975 | − | 0.376281i | 0.779115 | − | 0.626880i | \(-0.215669\pi\) |
−0.968091 | + | 0.250600i | \(0.919372\pi\) | |||||||
\(318\) | 5.63877 | − | 7.03964i | 0.316206 | − | 0.394763i | ||||
\(319\) | 2.10669 | − | 18.0239i | 0.117952 | − | 1.00915i | ||||
\(320\) | 1.63665 | − | 3.37407i | 0.0914912 | − | 0.188617i | ||||
\(321\) | −0.392367 | − | 0.860700i | −0.0218998 | − | 0.0480396i | ||||
\(322\) | 2.09881 | − | 3.20711i | 0.116962 | − | 0.178725i | ||||
\(323\) | 22.5549 | 1.25499 | ||||||||
\(324\) | −15.8373 | − | 8.55460i | −0.879848 | − | 0.475255i | ||||
\(325\) | 28.6216 | 1.58764 | ||||||||
\(326\) | 1.33152 | − | 2.03464i | 0.0737458 | − | 0.112688i | ||||
\(327\) | −11.8580 | − | 1.14037i | −0.655750 | − | 0.0630628i | ||||
\(328\) | −17.8481 | − | 26.7334i | −0.985499 | − | 1.47610i | ||||
\(329\) | 0.354492 | − | 3.03287i | 0.0195438 | − | 0.167207i | ||||
\(330\) | −3.13862 | − | 0.479985i | −0.172775 | − | 0.0264223i | ||||
\(331\) | 11.9976 | + | 23.8891i | 0.659446 | + | 1.31307i | 0.935977 | + | 0.352060i | \(0.114519\pi\) |
−0.276531 | + | 0.961005i | \(0.589185\pi\) | |||||||
\(332\) | 26.8424 | + | 9.63031i | 1.47317 | + | 0.528532i | ||||
\(333\) | −0.164209 | + | 9.53756i | −0.00899862 | + | 0.522655i | ||||
\(334\) | −18.6265 | − | 15.5567i | −1.01920 | − | 0.851224i | ||||
\(335\) | 0.119809 | − | 0.277748i | 0.00654584 | − | 0.0151750i | ||||
\(336\) | −23.2101 | + | 18.3744i | −1.26622 | + | 1.00240i | ||||
\(337\) | −23.6696 | + | 5.60979i | −1.28936 | + | 0.305585i | −0.817419 | − | 0.576043i | \(-0.804596\pi\) |
−0.471945 | + | 0.881628i | \(0.656448\pi\) | |||||||
\(338\) | −32.1042 | − | 3.67765i | −1.74624 | − | 0.200038i | ||||
\(339\) | 0.890930 | − | 0.286735i | 0.0483887 | − | 0.0155733i | ||||
\(340\) | −2.53407 | + | 1.28728i | −0.137429 | + | 0.0698127i | ||||
\(341\) | 14.4622 | − | 2.55008i | 0.783173 | − | 0.138095i | ||||
\(342\) | −12.9326 | + | 28.7926i | −0.699317 | + | 1.55692i | ||||
\(343\) | 17.9123 | + | 3.15841i | 0.967171 | + | 0.170538i | ||||
\(344\) | −7.31959 | − | 14.3273i | −0.394646 | − | 0.772476i | ||||
\(345\) | 0.186012 | + | 0.480226i | 0.0100145 | + | 0.0258545i | ||||
\(346\) | −1.98685 | − | 3.00579i | −0.106814 | − | 0.161592i | ||||
\(347\) | −17.3113 | − | 8.69407i | −0.929320 | − | 0.466722i | −0.0813023 | − | 0.996689i | \(-0.525908\pi\) |
−0.848018 | + | 0.529967i | \(0.822204\pi\) | |||||||
\(348\) | 22.6540 | − | 1.89046i | 1.21438 | − | 0.101339i | ||||
\(349\) | 17.6586 | + | 4.18517i | 0.945245 | + | 0.224027i | 0.674208 | − | 0.738542i | \(-0.264485\pi\) |
0.271037 | + | 0.962569i | \(0.412633\pi\) | |||||||
\(350\) | −9.81700 | + | 27.1661i | −0.524740 | + | 1.45209i | ||||
\(351\) | 31.0648 | + | 1.70755i | 1.65812 | + | 0.0911420i | ||||
\(352\) | −2.53907 | + | 15.4352i | −0.135333 | + | 0.822698i | ||||
\(353\) | 6.05926 | − | 1.81402i | 0.322502 | − | 0.0965507i | −0.121460 | − | 0.992596i | \(-0.538758\pi\) |
0.443962 | + | 0.896046i | \(0.353573\pi\) | |||||||
\(354\) | 5.54473 | + | 5.61514i | 0.294699 | + | 0.298441i | ||||
\(355\) | 2.02724 | + | 3.08227i | 0.107595 | + | 0.163590i | ||||
\(356\) | −33.4790 | − | 9.85545i | −1.77438 | − | 0.522338i | ||||
\(357\) | 22.4322 | − | 0.459501i | 1.18724 | − | 0.0243194i | ||||
\(358\) | −8.11664 | + | 18.9361i | −0.428978 | + | 1.00080i | ||||
\(359\) | 2.54468 | − | 0.926186i | 0.134303 | − | 0.0488822i | −0.273994 | − | 0.961731i | \(-0.588345\pi\) |
0.408297 | + | 0.912849i | \(0.366123\pi\) | |||||||
\(360\) | −0.190287 | − | 3.97299i | −0.0100290 | − | 0.209395i | ||||
\(361\) | 34.1560 | + | 12.4318i | 1.79768 | + | 0.654303i | ||||
\(362\) | 9.58324 | − | 10.2045i | 0.503684 | − | 0.536338i | ||||
\(363\) | −5.75394 | + | 0.792300i | −0.302004 | + | 0.0415850i | ||||
\(364\) | 22.7530 | − | 45.8290i | 1.19258 | − | 2.40209i | ||||
\(365\) | −0.500475 | + | 0.472174i | −0.0261961 | + | 0.0247147i | ||||
\(366\) | −4.35062 | − | 13.4123i | −0.227411 | − | 0.701070i | ||||
\(367\) | 14.9057 | − | 11.0969i | 0.778072 | − | 0.579253i | −0.133185 | − | 0.991091i | \(-0.542521\pi\) |
0.911257 | + | 0.411838i | \(0.135113\pi\) | |||||||
\(368\) | 2.37609 | − | 0.889653i | 0.123862 | − | 0.0463764i | ||||
\(369\) | −30.1994 | − | 15.8235i | −1.57212 | − | 0.823737i | ||||
\(370\) | −1.82304 | + | 1.05813i | −0.0947755 | + | 0.0550096i | ||||
\(371\) | −13.1450 | − | 8.64563i | −0.682456 | − | 0.448859i | ||||
\(372\) | 6.72355 | + | 17.1240i | 0.348600 | + | 0.887838i | ||||
\(373\) | 2.54215 | − | 3.41470i | 0.131628 | − | 0.176807i | −0.731423 | − | 0.681924i | \(-0.761143\pi\) |
0.863051 | + | 0.505117i | \(0.168551\pi\) | |||||||
\(374\) | 8.60504 | − | 8.15590i | 0.444956 | − | 0.421732i | ||||
\(375\) | −4.49845 | − | 6.54362i | −0.232299 | − | 0.337911i | ||||
\(376\) | 1.37693 | − | 1.47978i | 0.0710099 | − | 0.0763137i | ||||
\(377\) | −34.0278 | + | 19.6460i | −1.75252 | + | 1.01182i | ||||
\(378\) | −12.2757 | + | 28.8994i | −0.631394 | + | 1.48643i | ||||
\(379\) | 18.2776 | + | 10.5526i | 0.938857 | + | 0.542049i | 0.889602 | − | 0.456737i | \(-0.150982\pi\) |
0.0492553 | + | 0.998786i | \(0.484315\pi\) | |||||||
\(380\) | −6.92381 | + | 0.841563i | −0.355184 | + | 0.0431713i | ||||
\(381\) | −5.78725 | − | 1.60421i | −0.296490 | − | 0.0821860i | ||||
\(382\) | 4.79812 | − | 16.1620i | 0.245493 | − | 0.826919i | ||||
\(383\) | −7.02759 | − | 16.2918i | −0.359093 | − | 0.832471i | −0.998002 | − | 0.0631884i | \(-0.979873\pi\) |
0.638909 | − | 0.769283i | \(-0.279386\pi\) | |||||||
\(384\) | −19.5828 | + | 0.716517i | −0.999331 | + | 0.0365646i | ||||
\(385\) | −0.322038 | + | 5.52918i | −0.0164126 | + | 0.281793i | ||||
\(386\) | 15.9886 | − | 0.0367548i | 0.813798 | − | 0.00187077i | ||||
\(387\) | −14.0938 | − | 9.62124i | −0.716428 | − | 0.489075i | ||||
\(388\) | −6.70839 | − | 11.4969i | −0.340567 | − | 0.583665i | ||||
\(389\) | −3.03504 | − | 25.9665i | −0.153883 | − | 1.31655i | −0.820712 | − | 0.571342i | \(-0.806423\pi\) |
0.666830 | − | 0.745210i | \(-0.267651\pi\) | |||||||
\(390\) | 3.22459 | + | 6.07176i | 0.163283 | + | 0.307455i | ||||
\(391\) | −1.84222 | − | 0.551525i | −0.0931652 | − | 0.0278918i | ||||
\(392\) | 22.0085 | + | 23.0077i | 1.11160 | + | 1.16206i | ||||
\(393\) | −0.391524 | + | 10.3813i | −0.0197498 | + | 0.523667i | ||||
\(394\) | −1.73641 | + | 7.40227i | −0.0874789 | + | 0.372921i | ||||
\(395\) | 1.57340 | − | 1.32024i | 0.0791663 | − | 0.0664284i | ||||
\(396\) | 5.47746 | + | 15.6613i | 0.275253 | + | 0.787009i | ||||
\(397\) | 19.8598 | + | 16.6644i | 0.996736 | + | 0.836361i | 0.986529 | − | 0.163587i | \(-0.0523065\pi\) |
0.0102070 | + | 0.999948i | \(0.496751\pi\) | |||||||
\(398\) | 6.08233 | − | 4.54989i | 0.304880 | − | 0.228066i | ||||
\(399\) | 52.1129 | + | 17.7676i | 2.60891 | + | 0.889492i | ||||
\(400\) | −15.8781 | + | 10.6536i | −0.793906 | + | 0.532682i | ||||
\(401\) | 27.8719 | − | 1.62335i | 1.39186 | − | 0.0810664i | 0.654240 | − | 0.756287i | \(-0.272989\pi\) |
0.737616 | + | 0.675221i | \(0.235952\pi\) | |||||||
\(402\) | −1.57546 | + | 0.127825i | −0.0785768 | + | 0.00637532i | ||||
\(403\) | −23.1285 | − | 21.8207i | −1.15211 | − | 1.08696i | ||||
\(404\) | −12.1455 | − | 32.8980i | −0.604260 | − | 1.63674i | ||||
\(405\) | −2.19557 | − | 3.60249i | −0.109099 | − | 0.179009i | ||||
\(406\) | −6.97563 | − | 39.0358i | −0.346195 | − | 1.93731i | ||||
\(407\) | 6.03382 | − | 6.39547i | 0.299085 | − | 0.317012i | ||||
\(408\) | 12.1517 | + | 8.53977i | 0.601601 | + | 0.422782i | ||||
\(409\) | 0.299265 | + | 5.13819i | 0.0147977 | + | 0.254067i | 0.997592 | + | 0.0693613i | \(0.0220961\pi\) |
−0.982794 | + | 0.184706i | \(0.940867\pi\) | |||||||
\(410\) | −0.455343 | − | 7.52008i | −0.0224878 | − | 0.371390i | ||||
\(411\) | 8.80979 | + | 10.0727i | 0.434555 | + | 0.496852i | ||||
\(412\) | −4.92361 | − | 4.60259i | −0.242569 | − | 0.226753i | ||||
\(413\) | 8.84825 | − | 10.5449i | 0.435394 | − | 0.518882i | ||||
\(414\) | 1.76035 | − | 2.03546i | 0.0865167 | − | 0.100037i | ||||
\(415\) | 4.29636 | + | 5.12020i | 0.210900 | + | 0.251341i | ||||
\(416\) | 30.0907 | − | 15.5478i | 1.47532 | − | 0.762292i | ||||
\(417\) | −14.4538 | − | 27.3675i | −0.707804 | − | 1.34019i | ||||
\(418\) | 26.6878 | − | 11.5849i | 1.30535 | − | 0.566634i | ||||
\(419\) | −7.38587 | + | 24.6705i | −0.360823 | + | 1.20523i | 0.564301 | + | 0.825569i | \(0.309146\pi\) |
−0.925124 | + | 0.379665i | \(0.876039\pi\) | |||||||
\(420\) | −6.86901 | + | 0.978041i | −0.335173 | + | 0.0477235i | ||||
\(421\) | 27.7978 | − | 3.24910i | 1.35478 | − | 0.158352i | 0.592488 | − | 0.805580i | \(-0.298146\pi\) |
0.762296 | + | 0.647228i | \(0.224072\pi\) | |||||||
\(422\) | 1.25394 | + | 3.42070i | 0.0610411 | + | 0.166517i | ||||
\(423\) | 0.530261 | − | 2.07731i | 0.0257822 | − | 0.101002i | ||||
\(424\) | −3.62950 | − | 9.76198i | −0.176264 | − | 0.474084i | ||||
\(425\) | 14.4679 | + | 0.842661i | 0.701798 | + | 0.0408751i | ||||
\(426\) | 9.25610 | − | 16.9103i | 0.448460 | − | 0.819305i | ||||
\(427\) | −22.5844 | + | 9.74195i | −1.09293 | + | 0.471446i | ||||
\(428\) | −1.08544 | − | 0.121813i | −0.0524665 | − | 0.00588807i | ||||
\(429\) | −20.1026 | − | 20.4516i | −0.970561 | − | 0.987415i | ||||
\(430\) | 0.210602 | − | 3.76498i | 0.0101561 | − | 0.181563i | ||||
\(431\) | −1.02829 | + | 1.78105i | −0.0495308 | + | 0.0857899i | −0.889728 | − | 0.456491i | \(-0.849106\pi\) |
0.840197 | + | 0.542281i | \(0.182439\pi\) | |||||||
\(432\) | −17.8691 | + | 10.6158i | −0.859728 | + | 0.510752i | ||||
\(433\) | −15.1416 | − | 26.2260i | −0.727658 | − | 1.26034i | −0.957871 | − | 0.287200i | \(-0.907276\pi\) |
0.230213 | − | 0.973140i | \(-0.426058\pi\) | |||||||
\(434\) | 28.6439 | − | 14.4681i | 1.37495 | − | 0.694490i | ||||
\(435\) | 4.80932 | + | 2.29323i | 0.230589 | + | 0.109952i | ||||
\(436\) | −8.16348 | + | 11.0714i | −0.390960 | + | 0.530222i | ||||
\(437\) | −3.78515 | − | 2.81794i | −0.181069 | − | 0.134801i | ||||
\(438\) | 3.40574 | + | 1.15244i | 0.162733 | + | 0.0550655i | ||||
\(439\) | 12.0685 | − | 18.3493i | 0.575999 | − | 0.875764i | −0.423548 | − | 0.905874i | \(-0.639215\pi\) |
0.999547 | + | 0.0301101i | \(0.00958580\pi\) | |||||||
\(440\) | −2.33723 | + | 2.82474i | −0.111423 | + | 0.134664i | ||||
\(441\) | 32.1802 | + | 10.2410i | 1.53239 | + | 0.487665i | ||||
\(442\) | −25.2914 | − | 4.39963i | −1.20299 | − | 0.209269i | ||||
\(443\) | 1.85619 | + | 2.49330i | 0.0881905 | + | 0.118460i | 0.844029 | − | 0.536298i | \(-0.180178\pi\) |
−0.755838 | + | 0.654759i | \(0.772770\pi\) | |||||||
\(444\) | 9.35150 | + | 5.81999i | 0.443803 | + | 0.276204i | ||||
\(445\) | −5.61325 | − | 5.94970i | −0.266094 | − | 0.282043i | ||||
\(446\) | 9.94827 | + | 7.37073i | 0.471064 | + | 0.349014i | ||||
\(447\) | −3.29647 | − | 1.34257i | −0.155918 | − | 0.0635014i | ||||
\(448\) | 4.43623 | + | 33.8933i | 0.209592 | + | 1.60131i | ||||
\(449\) | −0.456846 | + | 1.25517i | −0.0215599 | + | 0.0592353i | −0.950006 | − | 0.312233i | \(-0.898923\pi\) |
0.928446 | + | 0.371468i | \(0.121145\pi\) | |||||||
\(450\) | −9.37140 | + | 17.9859i | −0.441772 | + | 0.847865i | ||||
\(451\) | 10.7483 | + | 29.5307i | 0.506118 | + | 1.39055i | ||||
\(452\) | 0.244395 | − | 1.05273i | 0.0114954 | − | 0.0495161i | ||||
\(453\) | −13.8593 | + | 8.38474i | −0.651168 | + | 0.393950i | ||||
\(454\) | −2.84896 | − | 1.42261i | −0.133708 | − | 0.0667664i | ||||
\(455\) | 10.0194 | − | 6.58989i | 0.469719 | − | 0.308939i | ||||
\(456\) | 20.8538 | + | 29.8910i | 0.976567 | + | 1.39978i | ||||
\(457\) | 3.11792 | + | 10.4146i | 0.145850 | + | 0.487173i | 0.999429 | − | 0.0337906i | \(-0.0107579\pi\) |
−0.853579 | + | 0.520964i | \(0.825573\pi\) | |||||||
\(458\) | −0.508951 | + | 0.429058i | −0.0237817 | + | 0.0200486i | ||||
\(459\) | 15.6527 | + | 1.77774i | 0.730604 | + | 0.0829778i | ||||
\(460\) | 0.586096 | + | 0.100568i | 0.0273269 | + | 0.00468903i | ||||
\(461\) | −4.69402 | + | 19.8056i | −0.218623 | + | 0.922441i | 0.747480 | + | 0.664284i | \(0.231263\pi\) |
−0.966103 | + | 0.258157i | \(0.916885\pi\) | |||||||
\(462\) | 26.3067 | − | 12.0655i | 1.22390 | − | 0.561339i | ||||
\(463\) | −13.0575 | + | 25.9997i | −0.606835 | + | 1.20831i | 0.355049 | + | 0.934848i | \(0.384464\pi\) |
−0.961883 | + | 0.273460i | \(0.911832\pi\) | |||||||
\(464\) | 11.5646 | − | 23.5648i | 0.536872 | − | 1.09397i | ||||
\(465\) | −0.661616 | + | 4.26073i | −0.0306817 | + | 0.197587i | ||||
\(466\) | 1.72511 | + | 14.4707i | 0.0799144 | + | 0.670343i | ||||
\(467\) | −2.29577 | + | 13.0200i | −0.106236 | + | 0.602492i | 0.884484 | + | 0.466570i | \(0.154511\pi\) |
−0.990720 | + | 0.135921i | \(0.956601\pi\) | |||||||
\(468\) | 20.1181 | − | 29.7632i | 0.929959 | − | 1.37580i | ||||
\(469\) | 0.478784 | + | 2.71532i | 0.0221082 | + | 0.125382i | ||||
\(470\) | 0.453536 | − | 0.136917i | 0.0209201 | − | 0.00631549i | ||||
\(471\) | −2.04965 | + | 2.26364i | −0.0944430 | + | 0.104303i | ||||
\(472\) | 8.85186 | − | 2.16251i | 0.407440 | − | 0.0995376i | ||||
\(473\) | 3.62744 | + | 15.3054i | 0.166790 | + | 0.703743i | ||||
\(474\) | −9.94928 | − | 4.02545i | −0.456985 | − | 0.184895i | ||||
\(475\) | 32.6549 | + | 14.0859i | 1.49831 | + | 0.646307i | ||||
\(476\) | 12.8507 | − | 22.4962i | 0.589009 | − | 1.03111i | ||||
\(477\) | −8.33873 | − | 7.24526i | −0.381804 | − | 0.331738i | ||||
\(478\) | −16.1660 | + | 28.1495i | −0.739415 | + | 1.28753i | ||||
\(479\) | −19.1827 | + | 9.63393i | −0.876482 | + | 0.440186i | −0.829367 | − | 0.558704i | \(-0.811299\pi\) |
−0.0471144 | + | 0.998890i | \(0.515003\pi\) | |||||||
\(480\) | −4.04893 | − | 2.16810i | −0.184807 | − | 0.0989599i | ||||
\(481\) | −18.9093 | − | 2.21018i | −0.862191 | − | 0.100776i | ||||
\(482\) | 9.32833 | − | 2.23352i | 0.424894 | − | 0.101734i | ||||
\(483\) | −3.82197 | − | 2.72550i | −0.173906 | − | 0.124015i | ||||
\(484\) | −2.62808 | + | 6.17042i | −0.119458 | + | 0.280473i | ||||
\(485\) | − | 3.11980i | − | 0.141663i | ||||||
\(486\) | −11.2444 | + | 18.9622i | −0.510056 | + | 0.860141i | ||||
\(487\) | 24.6005i | 1.11475i | 0.830260 | + | 0.557377i | \(0.188192\pi\) | ||||
−0.830260 | + | 0.557377i | \(0.811808\pi\) | |||||||
\(488\) | −15.8682 | − | 3.64544i | −0.718319 | − | 0.165021i | ||||
\(489\) | −2.42472 | − | 1.72910i | −0.109650 | − | 0.0781927i | ||||
\(490\) | 1.73764 | + | 7.25730i | 0.0784986 | + | 0.327851i | ||||
\(491\) | −22.3140 | − | 2.60813i | −1.00702 | − | 0.117703i | −0.403438 | − | 0.915007i | \(-0.632185\pi\) |
−0.603578 | + | 0.797304i | \(0.706259\pi\) | |||||||
\(492\) | −33.5894 | + | 20.5328i | −1.51433 | + | 0.925689i | ||||
\(493\) | −17.7791 | + | 8.92900i | −0.800731 | + | 0.402142i | ||||
\(494\) | −54.6278 | − | 31.3721i | −2.45782 | − | 1.41150i | ||||
\(495\) | −0.741091 | + | 3.81743i | −0.0333096 | + | 0.171581i | ||||
\(496\) | 20.9530 | + | 3.49623i | 0.940816 | + | 0.156985i | ||||
\(497\) | −30.8773 | − | 13.3191i | −1.38503 | − | 0.597445i | ||||
\(498\) | 13.0997 | − | 32.3772i | 0.587014 | − | 1.45086i | ||||
\(499\) | −0.540249 | − | 2.27949i | −0.0241849 | − | 0.102044i | 0.959614 | − | 0.281321i | \(-0.0907724\pi\) |
−0.983799 | + | 0.179277i | \(0.942624\pi\) | |||||||
\(500\) | −9.15110 | + | 0.575218i | −0.409250 | + | 0.0257245i | ||||
\(501\) | −19.9499 | + | 22.0327i | −0.891295 | + | 0.984347i | ||||
\(502\) | −9.57396 | − | 31.7137i | −0.427307 | − | 1.41545i | ||||
\(503\) | −1.38838 | − | 7.87389i | −0.0619047 | − | 0.351079i | −0.999989 | − | 0.00467231i | \(-0.998513\pi\) |
0.938084 | − | 0.346407i | \(-0.112598\pi\) | |||||||
\(504\) | 21.3493 | + | 29.3036i | 0.950973 | + | 1.30528i | ||||
\(505\) | 1.42727 | − | 8.09442i | 0.0635125 | − | 0.360197i | ||||
\(506\) | −2.46307 | + | 0.293633i | −0.109497 | + | 0.0130536i | ||||
\(507\) | −6.07276 | + | 39.1079i | −0.269701 | + | 1.73684i | ||||
\(508\) | −5.02206 | + | 4.78190i | −0.222818 | + | 0.212163i | ||||
\(509\) | 4.40265 | − | 8.76639i | 0.195144 | − | 0.388563i | −0.774686 | − | 0.632346i | \(-0.782092\pi\) |
0.969830 | + | 0.243783i | \(0.0783884\pi\) | |||||||
\(510\) | 1.45124 | + | 3.16415i | 0.0642618 | + | 0.140111i | ||||
\(511\) | 1.44637 | − | 6.10270i | 0.0639835 | − | 0.269967i | ||||
\(512\) | −10.9059 | + | 19.8258i | −0.481977 | + | 0.876184i | ||||
\(513\) | 34.6020 | + | 17.2365i | 1.52772 | + | 0.761011i | ||||
\(514\) | 3.61337 | + | 4.28620i | 0.159379 | + | 0.189056i | ||||
\(515\) | −0.453058 | − | 1.51332i | −0.0199641 | − | 0.0666848i | ||||
\(516\) | −17.8917 | + | 8.25584i | −0.787638 | + | 0.363443i | ||||
\(517\) | −1.65106 | + | 1.08592i | −0.0726134 | + | 0.0477586i | ||||
\(518\) | 8.58354 | − | 17.1897i | 0.377139 | − | 0.755270i | ||||
\(519\) | −3.77568 | + | 2.28425i | −0.165734 | + | 0.100267i | ||||
\(520\) | 7.92801 | + | 0.406915i | 0.347666 | + | 0.0178444i | ||||
\(521\) | 9.93296 | + | 27.2906i | 0.435171 | + | 1.19562i | 0.942599 | + | 0.333928i | \(0.108374\pi\) |
−0.507428 | + | 0.861694i | \(0.669404\pi\) | |||||||
\(522\) | −1.20409 | − | 27.8158i | −0.0527016 | − | 1.21746i | ||||
\(523\) | 8.61494 | − | 23.6694i | 0.376705 | − | 1.03499i | −0.596008 | − | 0.802978i | \(-0.703247\pi\) |
0.972713 | − | 0.232011i | \(-0.0745304\pi\) | |||||||
\(524\) | 10.0526 | + | 6.54566i | 0.439148 | + | 0.285948i | ||||
\(525\) | 32.7642 | + | 13.3441i | 1.42995 | + | 0.582382i | ||||
\(526\) | 10.5235 | − | 14.2036i | 0.458846 | − | 0.619304i | ||||
\(527\) | −11.0488 | − | 11.7111i | −0.481294 | − | 0.510142i | ||||
\(528\) | 18.7647 | + | 3.86310i | 0.816629 | + | 0.168120i | ||||
\(529\) | −13.4944 | − | 18.1261i | −0.586713 | − | 0.788092i | ||||
\(530\) | 0.418353 | − | 2.40491i | 0.0181721 | − | 0.104463i | ||||
\(531\) | 7.14315 | − | 6.51047i | 0.309986 | − | 0.282530i | ||||
\(532\) | 48.5137 | − | 41.0894i | 2.10334 | − | 1.78145i | ||||
\(533\) | 37.3913 | − | 56.8507i | 1.61960 | − | 2.46248i | ||||
\(534\) | −13.7003 | + | 40.4878i | −0.592868 | + | 1.75208i | ||||
\(535\) | −0.205344 | − | 0.152873i | −0.00887779 | − | 0.00660927i | ||||
\(536\) | −0.807864 | + | 1.63664i | −0.0348944 | + | 0.0706919i | ||||
\(537\) | 22.7758 | + | 10.8602i | 0.982849 | + | 0.468651i | ||||
\(538\) | −10.1581 | − | 20.1110i | −0.437946 | − | 0.867046i | ||||
\(539\) | −15.5640 | − | 26.9576i | −0.670388 | − | 1.16115i | ||||
\(540\) | −4.87133 | + | 0.0383055i | −0.209629 | + | 0.00164841i | ||||
\(541\) | −2.84818 | + | 4.93319i | −0.122453 | + | 0.212095i | −0.920734 | − | 0.390190i | \(-0.872409\pi\) |
0.798282 | + | 0.602284i | \(0.205743\pi\) | |||||||
\(542\) | 8.30165 | + | 0.464370i | 0.356586 | + | 0.0199464i | ||||
\(543\) | −12.0187 | − | 12.2274i | −0.515770 | − | 0.524726i | ||||
\(544\) | 15.6683 | − | 6.97333i | 0.671773 | − | 0.298979i | ||||
\(545\) | −2.96036 | + | 1.27697i | −0.126808 | + | 0.0546995i | ||||
\(546\) | −54.9697 | − | 30.0886i | −2.35249 | − | 1.28767i | ||||
\(547\) | 1.69676 | + | 0.0988250i | 0.0725482 | + | 0.00422545i | 0.0943805 | − | 0.995536i | \(-0.469913\pi\) |
−0.0218323 | + | 0.999762i | \(0.506950\pi\) | |||||||
\(548\) | 15.2047 | − | 2.75314i | 0.649514 | − | 0.117608i | ||||
\(549\) | −16.6265 | + | 4.66733i | −0.709602 | + | 0.199197i | ||||
\(550\) | 17.5518 | − | 6.43408i | 0.748413 | − | 0.274350i | ||||
\(551\) | −48.4915 | + | 5.66785i | −2.06581 | + | 0.241458i | ||||
\(552\) | −0.972367 | − | 2.95134i | −0.0413867 | − | 0.125618i | ||||
\(553\) | −5.36949 | + | 17.9353i | −0.228334 | + | 0.762688i | ||||
\(554\) | 8.35107 | + | 19.2382i | 0.354803 | + | 0.817354i | ||||
\(555\) | 1.20563 | + | 2.28280i | 0.0511760 | + | 0.0968993i | ||||
\(556\) | −35.6865 | − | 1.91391i | −1.51344 | − | 0.0811681i | ||||
\(557\) | 20.9865 | + | 25.0108i | 0.889227 | + | 1.05974i | 0.997842 | + | 0.0656558i | \(0.0209139\pi\) |
−0.108615 | + | 0.994084i | \(0.534642\pi\) | |||||||
\(558\) | 21.2850 | − | 7.38947i | 0.901067 | − | 0.312821i | ||||
\(559\) | 21.8921 | − | 26.0899i | 0.925935 | − | 1.10349i | ||||
\(560\) | −3.10547 | + | 7.38529i | −0.131230 | + | 0.312085i | ||||
\(561\) | −9.55952 | − | 10.9299i | −0.403603 | − | 0.461463i | ||||
\(562\) | 5.14644 | − | 0.311618i | 0.217089 | − | 0.0131448i | ||||
\(563\) | −1.83167 | − | 31.4485i | −0.0771955 | − | 1.32540i | −0.785224 | − | 0.619212i | \(-0.787452\pi\) |
0.708028 | − | 0.706184i | \(-0.249585\pi\) | |||||||
\(564\) | −1.74347 | − | 1.75751i | −0.0734133 | − | 0.0740045i | ||||
\(565\) | 0.173824 | − | 0.184243i | 0.00731284 | − | 0.00775116i | ||||
\(566\) | 28.9457 | − | 5.17255i | 1.21668 | − | 0.217418i | ||||
\(567\) | 34.7649 | + | 16.4378i | 1.45999 | + | 0.690324i | ||||
\(568\) | −11.2627 | − | 19.2006i | −0.472573 | − | 0.805637i | ||||
\(569\) | 9.49696 | + | 8.95992i | 0.398133 | + | 0.375619i | 0.859108 | − | 0.511794i | \(-0.171019\pi\) |
−0.460975 | + | 0.887413i | \(0.652500\pi\) | |||||||
\(570\) | 0.690810 | + | 8.51434i | 0.0289348 | + | 0.356626i | ||||
\(571\) | 23.1867 | − | 1.35047i | 0.970333 | − | 0.0565155i | 0.434350 | − | 0.900744i | \(-0.356978\pi\) |
0.535983 | + | 0.844229i | \(0.319941\pi\) | |||||||
\(572\) | −32.1856 | + | 7.78458i | −1.34575 | + | 0.325490i | ||||
\(573\) | −19.5435 | − | 6.66325i | −0.816442 | − | 0.278361i | ||||
\(574\) | 41.1347 | + | 54.9892i | 1.71693 | + | 2.29520i | ||||
\(575\) | −2.32272 | − | 1.94900i | −0.0968643 | − | 0.0812788i | ||||
\(576\) | −0.0821416 | + | 23.9999i | −0.00342256 | + | 0.999994i | ||||
\(577\) | 0.419010 | − | 0.351591i | 0.0174436 | − | 0.0146369i | −0.634024 | − | 0.773313i | \(-0.718598\pi\) |
0.651468 | + | 0.758676i | \(0.274154\pi\) | |||||||
\(578\) | 10.7513 | + | 2.52200i | 0.447193 | + | 0.104902i | ||||
\(579\) | 0.737999 | − | 19.5681i | 0.0306702 | − | 0.813222i | ||||
\(580\) | 5.12460 | − | 3.40436i | 0.212788 | − | 0.141358i | ||||
\(581\) | −58.3657 | − | 17.4735i | −2.42142 | − | 0.724925i | ||||
\(582\) | −14.3980 | + | 7.64648i | −0.596816 | + | 0.316957i | ||||
\(583\) | 1.18209 | + | 10.1134i | 0.0489570 | + | 0.418854i | ||||
\(584\) | 3.16187 | − | 2.69050i | 0.130839 | − | 0.111334i | ||||
\(585\) | 7.58832 | − | 3.64880i | 0.313738 | − | 0.150859i | ||||
\(586\) | −0.0135030 | − | 5.87392i | −0.000557805 | − | 0.242649i | ||||
\(587\) | 1.18129 | − | 20.2820i | 0.0487571 | − | 0.837127i | −0.881946 | − | 0.471351i | \(-0.843767\pi\) |
0.930703 | − | 0.365776i | \(-0.119196\pi\) | |||||||
\(588\) | 29.2338 | − | 25.8066i | 1.20558 | − | 1.06424i | ||||
\(589\) | −15.6489 | − | 36.2781i | −0.644800 | − | 1.49481i | ||||
\(590\) | 2.04739 | + | 0.607822i | 0.0842895 | + | 0.0250236i | ||||
\(591\) | 8.97360 | + | 2.48745i | 0.369125 | + | 0.102320i | ||||
\(592\) | 11.3128 | − | 5.81238i | 0.464954 | − | 0.238887i | ||||
\(593\) | −4.69870 | − | 2.71280i | −0.192952 | − | 0.111401i | 0.400412 | − | 0.916335i | \(-0.368867\pi\) |
−0.593364 | + | 0.804934i | \(0.702201\pi\) | |||||||
\(594\) | 19.4340 | − | 5.93618i | 0.797385 | − | 0.243564i | ||||
\(595\) | 5.25874 | − | 3.03614i | 0.215587 | − | 0.124469i | ||||
\(596\) | −3.28543 | + | 2.46947i | −0.134576 | + | 0.101153i | ||||
\(597\) | −5.27014 | − | 7.66615i | −0.215693 | − | 0.313755i | ||||
\(598\) | 3.69472 | + | 3.89818i | 0.151088 | + | 0.159408i | ||||
\(599\) | −2.01056 | + | 2.70065i | −0.0821493 | + | 0.110346i | −0.841298 | − | 0.540571i | \(-0.818208\pi\) |
0.759149 | + | 0.650917i | \(0.225615\pi\) | |||||||
\(600\) | 12.2600 | + | 19.9528i | 0.500512 | + | 0.814570i | ||||
\(601\) | −27.0320 | − | 17.7793i | −1.10266 | − | 0.725231i | −0.138450 | − | 0.990369i | \(-0.544212\pi\) |
−0.964210 | + | 0.265139i | \(0.914582\pi\) | |||||||
\(602\) | 17.2544 | + | 29.7274i | 0.703236 | + | 1.21160i | ||||
\(603\) | 0.0792757 | + | 1.93425i | 0.00322835 | + | 0.0787689i | ||||
\(604\) | 0.0859944 | + | 18.7040i | 0.00349906 | + | 0.761055i | ||||
\(605\) | −1.26088 | + | 0.938690i | −0.0512620 | + | 0.0381632i | ||||
\(606\) | −40.8542 | + | 13.2522i | −1.65959 | + | 0.538332i | ||||
\(607\) | 23.6353 | − | 22.2988i | 0.959328 | − | 0.905080i | −0.0362187 | − | 0.999344i | \(-0.511531\pi\) |
0.995547 | + | 0.0942641i | \(0.0300498\pi\) | |||||||
\(608\) | 41.9828 | − | 2.92975i | 1.70263 | − | 0.118817i | ||||
\(609\) | −48.1123 | + | 6.62491i | −1.94961 | + | 0.268455i | ||||
\(610\) | −2.78171 | − | 2.61235i | −0.112628 | − | 0.105771i | ||||
\(611\) | 4.02082 | + | 1.46346i | 0.162665 | + | 0.0592053i | ||||
\(612\) | 11.0458 | − | 14.4527i | 0.446498 | − | 0.584215i | ||||
\(613\) | −12.4199 | + | 4.52047i | −0.501635 | + | 0.182580i | −0.580429 | − | 0.814311i | \(-0.697115\pi\) |
0.0787941 | + | 0.996891i | \(0.474893\pi\) | |||||||
\(614\) | 33.0779 | + | 14.1783i | 1.33492 | + | 0.572190i | ||||
\(615\) | −9.22512 | + | 0.188967i | −0.371993 | + | 0.00761989i | ||||
\(616\) | 3.65070 | − | 33.2189i | 0.147091 | − | 1.33843i | ||||
\(617\) | −22.5998 | − | 34.3613i | −0.909832 | − | 1.38333i | −0.923571 | − | 0.383427i | \(-0.874744\pi\) |
0.0137387 | − | 0.999906i | \(-0.495627\pi\) | |||||||
\(618\) | −5.87360 | + | 5.79995i | −0.236271 | + | 0.233308i | ||||
\(619\) | −43.9649 | + | 13.1622i | −1.76710 | + | 0.529034i | −0.994394 | − | 0.105734i | \(-0.966281\pi\) |
−0.772703 | + | 0.634768i | \(0.781096\pi\) | |||||||
\(620\) | 3.82868 | + | 3.18276i | 0.153764 | + | 0.127823i | ||||
\(621\) | −2.40472 | − | 2.25394i | −0.0964981 | − | 0.0904475i | ||||
\(622\) | 42.0934 | + | 15.2112i | 1.68779 | + | 0.609915i | ||||
\(623\) | 72.5494 | + | 17.1945i | 2.90663 | + | 0.688884i | ||||
\(624\) | −17.5532 | − | 37.5854i | −0.702692 | − | 1.50462i | ||||
\(625\) | 19.4385 | + | 9.76240i | 0.777542 | + | 0.390496i | ||||
\(626\) | −24.6990 | + | 16.3263i | −0.987172 | + | 0.652529i | ||||
\(627\) | −12.8702 | − | 33.2270i | −0.513987 | − | 1.32696i | ||||
\(628\) | 1.02682 | + | 3.37330i | 0.0409746 | + | 0.134609i | ||||
\(629\) | −9.49340 | − | 1.67394i | −0.378527 | − | 0.0667444i | ||||
\(630\) | 0.860511 | + | 8.45395i | 0.0342836 | + | 0.336813i | ||||
\(631\) | −20.1639 | + | 3.55544i | −0.802712 | + | 0.141540i | −0.559929 | − | 0.828541i | \(-0.689172\pi\) |
−0.242783 | + | 0.970081i | \(0.578060\pi\) | |||||||
\(632\) | −9.88955 | + | 7.46905i | −0.393385 | + | 0.297103i | ||||
\(633\) | 4.24754 | − | 1.36702i | 0.168825 | − | 0.0543341i | ||||
\(634\) | −1.20663 | + | 10.5334i | −0.0479216 | + | 0.418333i | ||||
\(635\) | −1.58150 | + | 0.374822i | −0.0627599 | + | 0.0148744i | ||||
\(636\) | −12.1241 | + | 3.96361i | −0.480752 | + | 0.157167i | ||||
\(637\) | −26.6957 | + | 61.8875i | −1.05772 | + | 2.45207i | ||||
\(638\) | −16.4507 | + | 19.6970i | −0.651291 | + | 0.779812i | ||||
\(639\) | −20.2409 | − | 12.1554i | −0.800718 | − | 0.480861i | ||||
\(640\) | −4.54961 | + | 2.72526i | −0.179839 | + | 0.107725i | ||||
\(641\) | −1.51801 | − | 3.02262i | −0.0599580 | − | 0.119386i | 0.861658 | − | 0.507490i | \(-0.169427\pi\) |
−0.921616 | + | 0.388104i | \(0.873130\pi\) | |||||||
\(642\) | −0.202226 | + | 1.32235i | −0.00798122 | + | 0.0521891i | ||||
\(643\) | 3.96632 | − | 33.9340i | 0.156416 | − | 1.33823i | −0.655828 | − | 0.754910i | \(-0.727680\pi\) |
0.812245 | − | 0.583317i | \(-0.198245\pi\) | |||||||
\(644\) | −4.96721 | + | 2.16978i | −0.195735 | + | 0.0855015i | ||||
\(645\) | −4.59714 | − | 0.442102i | −0.181012 | − | 0.0174078i | ||||
\(646\) | −26.6901 | − | 17.4666i | −1.05011 | − | 0.687215i | ||||
\(647\) | −35.9649 | −1.41393 | −0.706963 | − | 0.707250i | \(-0.749935\pi\) | ||||
−0.706963 | + | 0.707250i | \(0.749935\pi\) | |||||||
\(648\) | 12.1162 | + | 22.3875i | 0.475968 | + | 0.879463i | ||||
\(649\) | −8.90865 | −0.349695 | ||||||||
\(650\) | −33.8691 | − | 22.1647i | −1.32846 | − | 0.869371i | ||||
\(651\) | −16.3028 | − | 35.7620i | −0.638957 | − | 1.40162i | ||||
\(652\) | −3.15128 | + | 1.37655i | −0.123413 | + | 0.0539097i | ||||
\(653\) | −2.03555 | + | 17.4152i | −0.0796572 | + | 0.681511i | 0.893128 | + | 0.449802i | \(0.148506\pi\) |
−0.972785 | + | 0.231708i | \(0.925568\pi\) | |||||||
\(654\) | 13.1490 | + | 10.5324i | 0.514166 | + | 0.411848i | ||||
\(655\) | 1.26183 | + | 2.51251i | 0.0493038 | + | 0.0981718i | ||||
\(656\) | 0.417994 | + | 45.4564i | 0.0163199 | + | 1.77477i | ||||
\(657\) | 1.57709 | − | 4.11139i | 0.0615283 | − | 0.160401i | ||||
\(658\) | −2.76815 | + | 3.31440i | −0.107914 | + | 0.129209i | ||||
\(659\) | −10.4635 | + | 24.2572i | −0.407602 | + | 0.944927i | 0.583536 | + | 0.812087i | \(0.301669\pi\) |
−0.991138 | + | 0.132840i | \(0.957590\pi\) | |||||||
\(660\) | 3.34236 | + | 2.99855i | 0.130101 | + | 0.116718i | ||||
\(661\) | 16.7206 | − | 3.96286i | 0.650357 | − | 0.154137i | 0.107821 | − | 0.994170i | \(-0.465613\pi\) |
0.542536 | + | 0.840033i | \(0.317464\pi\) | |||||||
\(662\) | 4.30263 | − | 37.5600i | 0.167227 | − | 1.45981i | ||||
\(663\) | −6.62266 | + | 30.7353i | −0.257203 | + | 1.19366i | ||||
\(664\) | −24.3060 | − | 32.1828i | −0.943255 | − | 1.24894i | ||||
\(665\) | 14.6745 | − | 2.58751i | 0.569054 | − | 0.100340i | ||||
\(666\) | 7.58025 | − | 11.1590i | 0.293729 | − | 0.432404i | ||||
\(667\) | 4.09925 | + | 0.722808i | 0.158724 | + | 0.0279872i | ||||
\(668\) | 9.99437 | + | 32.8333i | 0.386694 | + | 1.27036i | ||||
\(669\) | 9.50722 | − | 11.8134i | 0.367570 | − | 0.456732i | ||||
\(670\) | −0.356864 | + | 0.235890i | −0.0137868 | + | 0.00911322i | ||||
\(671\) | 14.2247 | + | 7.14393i | 0.549140 | + | 0.275788i | ||||
\(672\) | 41.6947 | − | 3.76911i | 1.60841 | − | 0.145397i | ||||
\(673\) | 5.90302 | + | 1.39904i | 0.227545 | + | 0.0539291i | 0.342806 | − | 0.939406i | \(-0.388623\pi\) |
−0.115262 | + | 0.993335i | \(0.536771\pi\) | |||||||
\(674\) | 32.3534 | + | 11.6915i | 1.24621 | + | 0.450341i | ||||
\(675\) | 21.5516 | + | 12.3492i | 0.829523 | + | 0.475320i | ||||
\(676\) | 35.1422 | + | 29.2136i | 1.35162 | + | 1.12360i | ||||
\(677\) | −36.0484 | + | 10.7922i | −1.38545 | + | 0.414777i | −0.890832 | − | 0.454333i | \(-0.849878\pi\) |
−0.494619 | + | 0.869110i | \(0.664692\pi\) | |||||||
\(678\) | −1.27632 | − | 0.350635i | −0.0490169 | − | 0.0134660i | ||||
\(679\) | 15.6266 | + | 23.7591i | 0.599695 | + | 0.911792i | ||||
\(680\) | 3.99555 | + | 0.439103i | 0.153222 | + | 0.0168388i | ||||
\(681\) | −1.88046 | + | 3.41680i | −0.0720593 | + | 0.130932i | ||||
\(682\) | −19.0885 | − | 8.18200i | −0.730938 | − | 0.313305i | ||||
\(683\) | 1.45165 | − | 0.528357i | 0.0555458 | − | 0.0202170i | −0.314098 | − | 0.949391i | \(-0.601702\pi\) |
0.369644 | + | 0.929174i | \(0.379480\pi\) | |||||||
\(684\) | 37.6008 | − | 24.0563i | 1.43770 | − | 0.919817i | ||||
\(685\) | 3.40321 | + | 1.23867i | 0.130030 | + | 0.0473270i | ||||
\(686\) | −18.7504 | − | 17.6088i | −0.715895 | − | 0.672308i | ||||
\(687\) | 0.500142 | + | 0.643848i | 0.0190816 | + | 0.0245643i | ||||
\(688\) | −2.43354 | + | 22.6224i | −0.0927778 | + | 0.862471i | ||||
\(689\) | 16.0365 | − | 15.1296i | 0.610940 | − | 0.576392i | ||||
\(690\) | 0.151774 | − | 0.712320i | 0.00577793 | − | 0.0271175i | ||||
\(691\) | −12.2420 | + | 9.11382i | −0.465707 | + | 0.346706i | −0.804297 | − | 0.594228i | \(-0.797458\pi\) |
0.338590 | + | 0.940934i | \(0.390050\pi\) | |||||||
\(692\) | 0.0234273 | + | 5.09551i | 0.000890574 | + | 0.193702i | ||||
\(693\) | −13.4771 | − | 32.7840i | −0.511953 | − | 1.24536i | ||||
\(694\) | 13.7525 | + | 23.6940i | 0.522037 | + | 0.899413i | ||||
\(695\) | −6.99820 | − | 4.60279i | −0.265457 | − | 0.174594i | ||||
\(696\) | −28.2714 | − | 15.3063i | −1.07162 | − | 0.580184i | ||||
\(697\) | 20.5747 | − | 27.6366i | 0.779321 | − | 1.04681i | ||||
\(698\) | −17.6552 | − | 18.6274i | −0.668258 | − | 0.705058i | ||||
\(699\) | 17.7933 | − | 1.40249i | 0.673003 | − | 0.0530470i | ||||
\(700\) | 32.6544 | − | 24.5445i | 1.23422 | − | 0.927694i | ||||
\(701\) | 15.9615 | − | 9.21540i | 0.602859 | − | 0.348061i | −0.167306 | − | 0.985905i | \(-0.553507\pi\) |
0.770166 | + | 0.637844i | \(0.220174\pi\) | |||||||
\(702\) | −35.4379 | − | 26.0773i | −1.33752 | − | 0.984226i | ||||
\(703\) | −20.4862 | − | 11.8277i | −0.772653 | − | 0.446092i | ||||
\(704\) | 14.9577 | − | 16.2988i | 0.563738 | − | 0.614285i | ||||
\(705\) | −0.145344 | − | 0.561727i | −0.00547396 | − | 0.0211559i | ||||
\(706\) | −8.57496 | − | 2.54571i | −0.322723 | − | 0.0958091i | ||||
\(707\) | 29.6743 | + | 68.7928i | 1.11602 | + | 2.58722i | ||||
\(708\) | −2.21292 | − | 10.9385i | −0.0831667 | − | 0.411094i | ||||
\(709\) | −2.56047 | + | 43.9615i | −0.0961603 | + | 1.65101i | 0.513313 | + | 0.858202i | \(0.328418\pi\) |
−0.609473 | + | 0.792807i | \(0.708619\pi\) | |||||||
\(710\) | −0.0119935 | − | 5.21728i | −0.000450109 | − | 0.195801i | ||||
\(711\) | −5.41344 | + | 11.9784i | −0.203020 | + | 0.449227i | ||||
\(712\) | 31.9849 | + | 37.5886i | 1.19869 | + | 1.40869i | ||||
\(713\) | 0.391062 | + | 3.34575i | 0.0146454 | + | 0.125299i | ||||
\(714\) | −26.9008 | − | 16.8279i | −1.00674 | − | 0.629767i | ||||
\(715\) | −7.43509 | − | 2.22592i | −0.278056 | − | 0.0832446i | ||||
\(716\) | 24.2689 | − | 16.1223i | 0.906972 | − | 0.602517i | ||||
\(717\) | 33.6568 | + | 21.1619i | 1.25694 | + | 0.790305i | ||||
\(718\) | −3.72846 | − | 0.874614i | −0.139145 | − | 0.0326403i | ||||
\(719\) | −33.4789 | + | 28.0922i | −1.24855 | + | 1.04766i | −0.251749 | + | 0.967793i | \(0.581006\pi\) |
−0.996805 | + | 0.0798687i | \(0.974550\pi\) | |||||||
\(720\) | −2.85153 | + | 4.84876i | −0.106270 | + | 0.180703i | ||||
\(721\) | 11.0303 | + | 9.25553i | 0.410790 | + | 0.344694i | ||||
\(722\) | −30.7910 | − | 41.1616i | −1.14592 | − | 1.53187i | ||||
\(723\) | −2.27648 | − | 11.5251i | −0.0846633 | − | 0.428622i | ||||
\(724\) | −19.2427 | + | 4.65414i | −0.715149 | + | 0.172970i | ||||
\(725\) | −31.3168 | + | 1.82400i | −1.16308 | + | 0.0677416i | ||||
\(726\) | 7.42244 | + | 3.51832i | 0.275473 | + | 0.130577i | ||||
\(727\) | −21.2637 | − | 20.0613i | −0.788628 | − | 0.744032i | 0.182341 | − | 0.983235i | \(-0.441632\pi\) |
−0.970970 | + | 0.239203i | \(0.923114\pi\) | |||||||
\(728\) | −62.4147 | + | 36.6114i | −2.31324 | + | 1.35691i | ||||
\(729\) | 22.6546 | + | 14.6891i | 0.839059 | + | 0.544040i | ||||
\(730\) | 0.957887 | − | 0.171173i | 0.0354530 | − | 0.00633539i | ||||
\(731\) | 11.8343 | − | 12.5437i | 0.437709 | − | 0.463944i | ||||
\(732\) | −5.23824 | + | 19.2404i | −0.193611 | + | 0.711147i | ||||
\(733\) | 2.66586 | + | 45.7711i | 0.0984660 | + | 1.69060i | 0.580356 | + | 0.814363i | \(0.302914\pi\) |
−0.481890 | + | 0.876232i | \(0.660049\pi\) | |||||||
\(734\) | −26.2320 | + | 1.58836i | −0.968242 | + | 0.0586273i | ||||
\(735\) | 8.96632 | − | 1.77107i | 0.330728 | − | 0.0653268i | ||||
\(736\) | −3.50068 | − | 0.787292i | −0.129037 | − | 0.0290200i | ||||
\(737\) | 1.14699 | − | 1.36693i | 0.0422498 | − | 0.0503514i | ||||
\(738\) | 23.4824 | + | 42.1111i | 0.864399 | + | 1.55013i | ||||
\(739\) | −7.46133 | − | 8.89207i | −0.274469 | − | 0.327100i | 0.611147 | − | 0.791517i | \(-0.290708\pi\) |
−0.885617 | + | 0.464417i | \(0.846264\pi\) | |||||||
\(740\) | 2.97670 | + | 0.159645i | 0.109426 | + | 0.00586866i | ||||
\(741\) | −41.0673 | + | 65.3152i | −1.50865 | + | 2.39942i | ||||
\(742\) | 8.85985 | + | 20.4103i | 0.325255 | + | 0.749286i | ||||
\(743\) | 5.38966 | − | 18.0027i | 0.197728 | − | 0.660456i | −0.800410 | − | 0.599453i | \(-0.795385\pi\) |
0.998138 | − | 0.0610031i | \(-0.0194299\pi\) | |||||||
\(744\) | 5.30466 | − | 25.4703i | 0.194478 | − | 0.933787i | ||||
\(745\) | −0.956790 | + | 0.111833i | −0.0350541 | + | 0.00409723i | ||||
\(746\) | −5.65260 | + | 2.07210i | −0.206956 | + | 0.0758651i | ||||
\(747\) | −38.9806 | − | 17.6166i | −1.42623 | − | 0.644556i | ||||
\(748\) | −16.4987 | + | 2.98744i | −0.603251 | + | 0.109232i | ||||
\(749\) | 2.32954 | + | 0.135680i | 0.0851194 | + | 0.00495764i | ||||
\(750\) | 0.255794 | + | 11.2270i | 0.00934026 | + | 0.409951i | ||||
\(751\) | −9.60879 | + | 4.14483i | −0.350630 | + | 0.151247i | −0.564108 | − | 0.825701i | \(-0.690780\pi\) |
0.213479 | + | 0.976948i | \(0.431521\pi\) | |||||||
\(752\) | −2.77533 | + | 0.684778i | −0.101206 | + | 0.0249713i | ||||
\(753\) | −39.2790 | + | 10.1632i | −1.43141 | + | 0.370368i | ||||
\(754\) | 55.4804 | + | 3.10341i | 2.02048 | + | 0.113020i | ||||
\(755\) | −2.19193 | + | 3.79654i | −0.0797727 | + | 0.138170i | ||||
\(756\) | 36.9062 | − | 24.6915i | 1.34227 | − | 0.898021i | ||||
\(757\) | −19.4962 | − | 33.7685i | −0.708603 | − | 1.22734i | −0.965375 | − | 0.260865i | \(-0.915992\pi\) |
0.256772 | − | 0.966472i | \(-0.417341\pi\) | |||||||
\(758\) | −13.4567 | − | 26.6416i | −0.488768 | − | 0.967665i | ||||
\(759\) | 0.238718 | + | 3.02860i | 0.00866493 | + | 0.109931i | ||||
\(760\) | 8.84495 | + | 4.36598i | 0.320840 | + | 0.158371i | ||||
\(761\) | −14.3921 | − | 10.7145i | −0.521713 | − | 0.388401i | 0.303842 | − | 0.952722i | \(-0.401730\pi\) |
−0.825555 | + | 0.564321i | \(0.809138\pi\) | |||||||
\(762\) | 5.60599 | + | 6.38000i | 0.203084 | + | 0.231123i | ||||
\(763\) | 16.1487 | − | 24.5529i | 0.584623 | − | 0.888876i | ||||
\(764\) | −18.1937 | + | 15.4095i | −0.658226 | + | 0.557494i | ||||
\(765\) | 3.94325 | − | 1.62102i | 0.142568 | − | 0.0586081i | ||||
\(766\) | −4.30040 | + | 24.7209i | −0.155380 | + | 0.893204i | ||||
\(767\) | 11.5188 | + | 15.4725i | 0.415921 | + | 0.558679i | ||||
\(768\) | 23.7280 | + | 14.3171i | 0.856212 | + | 0.516625i | ||||
\(769\) | −5.15153 | − | 5.46031i | −0.185769 | − | 0.196904i | 0.627795 | − | 0.778378i | \(-0.283957\pi\) |
−0.813565 | + | 0.581475i | \(0.802476\pi\) | |||||||
\(770\) | 4.66290 | − | 6.29352i | 0.168039 | − | 0.226803i | ||||
\(771\) | 5.42226 | − | 4.21202i | 0.195278 | − | 0.151692i | ||||
\(772\) | −18.9484 | − | 12.3382i | −0.681969 | − | 0.444060i | ||||
\(773\) | −11.4641 | + | 31.4973i | −0.412334 | + | 1.13288i | 0.543612 | + | 0.839337i | \(0.317056\pi\) |
−0.955946 | + | 0.293542i | \(0.905166\pi\) | |||||||
\(774\) | 9.22704 | + | 22.2995i | 0.331659 | + | 0.801540i | ||||
\(775\) | −8.68266 | − | 23.8554i | −0.311890 | − | 0.856911i | ||||
\(776\) | −0.964919 | + | 18.7997i | −0.0346386 | + | 0.674871i | ||||
\(777\) | −20.6158 | − | 11.3460i | −0.739586 | − | 0.407037i | ||||
\(778\) | −16.5171 | + | 33.0775i | −0.592165 | + | 1.18589i | ||||
\(779\) | 70.6390 | − | 46.4600i | 2.53091 | − | 1.66460i | ||||
\(780\) | 0.886211 | − | 9.68210i | 0.0317315 | − | 0.346675i | ||||
\(781\) | 6.24165 | + | 20.8486i | 0.223344 | + | 0.746021i | ||||
\(782\) | 1.75287 | + | 2.07927i | 0.0626826 | + | 0.0743545i | ||||
\(783\) | −34.0989 | + | 0.111357i | −1.21860 | + | 0.00397957i | ||||
\(784\) | −8.22632 | − | 44.2695i | −0.293797 | − | 1.58105i | ||||
\(785\) | −0.190592 | + | 0.804171i | −0.00680252 | + | 0.0287021i | ||||
\(786\) | 8.50264 | − | 11.9814i | 0.303279 | − | 0.427363i | ||||
\(787\) | 15.8535 | − | 31.5668i | 0.565115 | − | 1.12524i | −0.411734 | − | 0.911304i | \(-0.635077\pi\) |
0.976849 | − | 0.213932i | \(-0.0686271\pi\) | |||||||
\(788\) | 7.78711 | − | 7.41473i | 0.277404 | − | 0.264139i | ||||
\(789\) | −16.8665 | − | 13.5738i | −0.600462 | − | 0.483242i | ||||
\(790\) | −2.88427 | + | 0.343845i | −0.102618 | + | 0.0122335i | ||||
\(791\) | −0.400929 | + | 2.27378i | −0.0142554 | + | 0.0808464i | ||||
\(792\) | 5.64646 | − | 22.7744i | 0.200638 | − | 0.809253i | ||||
\(793\) | −5.98498 | − | 33.9425i | −0.212533 | − | 1.20533i | ||||
\(794\) | −10.5960 | − | 35.0992i | −0.376037 | − | 1.24562i | ||||
\(795\) | −2.92256 | − | 0.629737i | −0.103653 | − | 0.0223345i | ||||
\(796\) | −10.7209 | + | 0.673895i | −0.379993 | + | 0.0238856i | ||||
\(797\) | 10.0797 | + | 42.5297i | 0.357042 | + | 1.50648i | 0.794514 | + | 0.607246i | \(0.207726\pi\) |
−0.437472 | + | 0.899232i | \(0.644126\pi\) | |||||||
\(798\) | −47.9080 | − | 61.3816i | −1.69593 | − | 2.17288i | ||||
\(799\) | 1.98940 | + | 0.858143i | 0.0703799 | + | 0.0303589i | ||||
\(800\) | 27.0395 | − | 0.310807i | 0.955990 | − | 0.0109887i | ||||
\(801\) | 48.8766 | + | 18.7486i | 1.72697 | + | 0.662451i | ||||
\(802\) | −34.2391 | − | 19.6631i | −1.20902 | − | 0.694330i | ||||
\(803\) | −3.62719 | + | 1.82164i | −0.128001 | + | 0.0642843i | ||||
\(804\) | 1.96330 | + | 1.06878i | 0.0692401 | + | 0.0376931i | ||||
\(805\) | −1.26185 | − | 0.147489i | −0.0444742 | − | 0.00519829i | ||||
\(806\) | 10.4709 | + | 43.7321i | 0.368823 | + | 1.54040i | ||||
\(807\) | −25.1086 | + | 11.4462i | −0.883864 | + | 0.402927i | ||||
\(808\) | −11.1041 | + | 48.3351i | −0.390642 | + | 1.70042i | ||||
\(809\) | 10.0912i | 0.354789i | 0.984140 | + | 0.177394i | \(0.0567668\pi\) | ||||
−0.984140 | + | 0.177394i | \(0.943233\pi\) | |||||||
\(810\) | −0.191677 | + | 5.96324i | −0.00673484 | + | 0.209527i | ||||
\(811\) | 26.1226i | 0.917287i | 0.888620 | + | 0.458644i | \(0.151665\pi\) | ||||
−0.888620 | + | 0.458644i | \(0.848335\pi\) | |||||||
\(812\) | −21.9750 | + | 51.5946i | −0.771170 | + | 1.81062i | ||||
\(813\) | 0.974820 | − | 10.1365i | 0.0341884 | − | 0.355504i | ||||
\(814\) | −12.0928 | + | 2.89541i | −0.423851 | + | 0.101484i | ||||
\(815\) | −0.800535 | − | 0.0935692i | −0.0280415 | − | 0.00327759i | ||||
\(816\) | −7.76642 | − | 19.5158i | −0.271879 | − | 0.683191i | ||||
\(817\) | 37.8170 | − | 18.9924i | 1.32305 | − | 0.664461i | ||||
\(818\) | 3.62490 | − | 6.31198i | 0.126742 | − | 0.220693i | ||||
\(819\) | −39.5133 | + | 65.7966i | −1.38071 | + | 2.29912i | ||||
\(820\) | −5.28476 | + | 9.25145i | −0.184552 | + | 0.323075i | ||||
\(821\) | 44.1228 | + | 19.0327i | 1.53989 | + | 0.664246i | 0.985757 | − | 0.168179i | \(-0.0537886\pi\) |
0.554138 | + | 0.832425i | \(0.313048\pi\) | |||||||
\(822\) | −2.62461 | − | 18.7418i | −0.0915437 | − | 0.653697i | ||||
\(823\) | 6.10643 | + | 25.7650i | 0.212857 | + | 0.898113i | 0.969658 | + | 0.244467i | \(0.0786131\pi\) |
−0.756801 | + | 0.653646i | \(0.773239\pi\) | |||||||
\(824\) | 2.26205 | + | 9.25930i | 0.0788022 | + | 0.322563i | ||||
\(825\) | −7.01427 | − | 21.7944i | −0.244206 | − | 0.758784i | ||||
\(826\) | −18.6366 | + | 5.62613i | −0.648449 | + | 0.195758i | ||||
\(827\) | 3.60540 | + | 20.4473i | 0.125372 | + | 0.711021i | 0.981086 | + | 0.193572i | \(0.0620072\pi\) |
−0.855714 | + | 0.517449i | \(0.826882\pi\) | |||||||
\(828\) | −3.65937 | + | 1.04542i | −0.127172 | + | 0.0363308i | ||||
\(829\) | 3.46065 | − | 19.6263i | 0.120193 | − | 0.681651i | −0.863854 | − | 0.503743i | \(-0.831956\pi\) |
0.984047 | − | 0.177908i | \(-0.0569329\pi\) | |||||||
\(830\) | −1.11895 | − | 9.38607i | −0.0388394 | − | 0.325795i | ||||
\(831\) | 23.9520 | − | 9.27763i | 0.830887 | − | 0.321838i | ||||
\(832\) | −47.6479 | − | 4.90409i | −1.65189 | − | 0.170019i | ||||
\(833\) | −15.3164 | + | 30.4975i | −0.530683 | + | 1.05668i | ||||
\(834\) | −4.08979 | + | 43.5782i | −0.141618 | + | 1.50899i | ||||
\(835\) | −1.85509 | + | 7.82724i | −0.0641980 | + | 0.270873i | ||||
\(836\) | −40.5522 | − | 6.95836i | −1.40253 | − | 0.240660i | ||||
\(837\) | −8.00063 | − | 26.4098i | −0.276542 | − | 0.912855i | ||||
\(838\) | 27.8450 | − | 23.4740i | 0.961889 | − | 0.810896i | ||||
\(839\) | −15.5311 | − | 51.8776i | −0.536194 | − | 1.79101i | −0.608408 | − | 0.793624i | \(-0.708192\pi\) |
0.0722141 | − | 0.997389i | \(-0.476994\pi\) | |||||||
\(840\) | 8.88578 | + | 4.16203i | 0.306588 | + | 0.143604i | ||||
\(841\) | 11.7510 | − | 7.72873i | 0.405206 | − | 0.266508i | ||||
\(842\) | −35.4105 | − | 17.6820i | −1.22033 | − | 0.609362i | ||||
\(843\) | −0.129321 | − | 6.31329i | −0.00445406 | − | 0.217441i | ||||
\(844\) | 1.16516 | − | 5.01891i | 0.0401065 | − | 0.172758i | ||||
\(845\) | 3.66335 | + | 10.0650i | 0.126023 | + | 0.346245i | ||||
\(846\) | −2.23616 | + | 2.04753i | −0.0768807 | + | 0.0703956i | ||||
\(847\) | 4.90059 | − | 13.4643i | 0.168386 | − | 0.462637i | ||||
\(848\) | −3.26478 | + | 14.3625i | −0.112113 | + | 0.493209i | ||||
\(849\) | −4.91248 | − | 35.6761i | −0.168596 | − | 1.22440i | ||||
\(850\) | −16.4679 | − | 12.2012i | −0.564846 | − | 0.418497i | ||||
\(851\) | 1.38404 | + | 1.46700i | 0.0474443 | + | 0.0502881i | ||||
\(852\) | −24.0485 | + | 12.8426i | −0.823889 | + | 0.439982i | ||||
\(853\) | 2.70955 | + | 3.63956i | 0.0927732 | + | 0.124616i | 0.846086 | − | 0.533046i | \(-0.178953\pi\) |
−0.753313 | + | 0.657662i | \(0.771545\pi\) | |||||||
\(854\) | 34.2693 | + | 5.96140i | 1.17267 | + | 0.203995i | ||||
\(855\) | 10.4534 | − | 0.428433i | 0.357498 | − | 0.0146521i | ||||
\(856\) | 1.19011 | + | 0.984714i | 0.0406771 | + | 0.0336568i | ||||
\(857\) | −17.8661 | + | 27.1641i | −0.610296 | + | 0.927910i | 0.389680 | + | 0.920950i | \(0.372586\pi\) |
−0.999976 | + | 0.00695930i | \(0.997785\pi\) | |||||||
\(858\) | 7.95034 | + | 39.7688i | 0.271420 | + | 1.35768i | ||||
\(859\) | 2.21193 | + | 1.64672i | 0.0754701 | + | 0.0561854i | 0.634232 | − | 0.773142i | \(-0.281316\pi\) |
−0.558762 | + | 0.829328i | \(0.688724\pi\) | |||||||
\(860\) | −3.16483 | + | 4.29216i | −0.107920 | + | 0.146362i | ||||
\(861\) | 69.3083 | − | 47.6464i | 2.36202 | − | 1.62378i | ||||
\(862\) | 2.59606 | − | 1.31127i | 0.0884223 | − | 0.0446622i | ||||
\(863\) | 18.7456 | + | 32.4683i | 0.638106 | + | 1.10523i | 0.985848 | + | 0.167642i | \(0.0536153\pi\) |
−0.347742 | + | 0.937590i | \(0.613051\pi\) | |||||||
\(864\) | 29.3662 | + | 1.27582i | 0.999058 | + | 0.0434043i | ||||
\(865\) | −0.597146 | + | 1.03429i | −0.0203036 | + | 0.0351668i | ||||
\(866\) | −2.39187 | + | 42.7600i | −0.0812790 | + | 1.45304i | ||||
\(867\) | 3.61284 | − | 13.0335i | 0.122699 | − | 0.442641i | ||||
\(868\) | −45.0997 | − | 5.06133i | −1.53078 | − | 0.171793i | ||||
\(869\) | 11.1254 | − | 4.79903i | 0.377403 | − | 0.162796i | ||||
\(870\) | −3.91518 | − | 6.43803i | −0.132737 | − | 0.218270i | ||||
\(871\) | −3.85712 | − | 0.224652i | −0.130694 | − | 0.00761203i | ||||
\(872\) | 18.2339 | − | 6.77936i | 0.617478 | − | 0.229578i | ||||
\(873\) | 8.65241 | + | 17.9942i | 0.292840 | + | 0.609012i | ||||
\(874\) | 2.29690 | + | 6.26583i | 0.0776939 | + | 0.211945i | ||||
\(875\) | 19.4565 | − | 2.27414i | 0.657751 | − | 0.0768801i | ||||
\(876\) | −3.13770 | − | 4.00115i | −0.106013 | − | 0.135186i | ||||
\(877\) | 12.6374 | − | 42.2117i | 0.426733 | − | 1.42539i | −0.426799 | − | 0.904347i | \(-0.640359\pi\) |
0.853532 | − | 0.521041i | \(-0.174456\pi\) | |||||||
\(878\) | −28.4910 | + | 12.3676i | −0.961523 | + | 0.417385i | ||||
\(879\) | −7.18896 | − | 0.271127i | −0.242478 | − | 0.00914489i | ||||
\(880\) | 4.95323 | − | 1.53267i | 0.166973 | − | 0.0516662i | ||||
\(881\) | −19.1391 | − | 22.8091i | −0.644814 | − | 0.768459i | 0.340309 | − | 0.940314i | \(-0.389468\pi\) |
−0.985122 | + | 0.171855i | \(0.945024\pi\) | |||||||
\(882\) | −30.1496 | − | 37.0391i | −1.01519 | − | 1.24717i | ||||
\(883\) | −23.8215 | + | 28.3894i | −0.801658 | + | 0.955379i | −0.999692 | − | 0.0248161i | \(-0.992100\pi\) |
0.198034 | + | 0.980195i | \(0.436544\pi\) | |||||||
\(884\) | 26.5213 | + | 24.7920i | 0.892007 | + | 0.833847i | ||||
\(885\) | 0.844094 | − | 2.47575i | 0.0283739 | − | 0.0832215i | ||||
\(886\) | −0.265687 | − | 4.38787i | −0.00892593 | − | 0.147413i | ||||
\(887\) | 2.20865 | + | 37.9210i | 0.0741591 | + | 1.27326i | 0.806053 | + | 0.591844i | \(0.201600\pi\) |
−0.731894 | + | 0.681419i | \(0.761363\pi\) | |||||||
\(888\) | −6.55899 | − | 14.1289i | −0.220105 | − | 0.474134i | ||||
\(889\) | 10.1666 | − | 10.7760i | 0.340978 | − | 0.361415i | ||||
\(890\) | 2.03492 | + | 11.3875i | 0.0682106 | + | 0.381708i | ||||
\(891\) | −6.31279 | − | 24.0733i | −0.211486 | − | 0.806486i | ||||
\(892\) | −6.06427 | − | 16.4261i | −0.203047 | − | 0.549986i | ||||
\(893\) | 3.86720 | + | 3.64851i | 0.129411 | + | 0.122093i | ||||
\(894\) | 2.86116 | + | 4.14152i | 0.0956914 | + | 0.138513i | ||||
\(895\) | 6.81732 | − | 0.397064i | 0.227878 | − | 0.0132724i | ||||
\(896\) | 20.9976 | − | 43.5428i | 0.701480 | − | 1.45466i | ||||
\(897\) | 4.95139 | − | 4.33057i | 0.165322 | − | 0.144593i | ||||
\(898\) | 1.51262 | − | 1.13152i | 0.0504767 | − | 0.0377592i | ||||
\(899\) | 26.6971 | + | 22.4015i | 0.890398 | + | 0.747133i | ||||
\(900\) | 25.0180 | − | 14.0263i | 0.833932 | − | 0.467542i | ||||
\(901\) | 8.55170 | − | 7.17573i | 0.284899 | − | 0.239058i | ||||
\(902\) | 10.1498 | − | 43.2685i | 0.337952 | − | 1.44068i | ||||
\(903\) | 37.2244 | − | 19.6595i | 1.23875 | − | 0.654228i | ||||
\(904\) | −1.10444 | + | 1.05648i | −0.0367331 | + | 0.0351379i | ||||
\(905\) | −4.44519 | − | 1.33080i | −0.147763 | − | 0.0442374i | ||||
\(906\) | 22.8935 | + | 0.810717i | 0.760586 | + | 0.0269343i | ||||
\(907\) | 4.62820 | + | 39.5968i | 0.153677 | + | 1.31479i | 0.821389 | + | 0.570369i | \(0.193200\pi\) |
−0.667712 | + | 0.744420i | \(0.732726\pi\) | |||||||
\(908\) | 2.26962 | + | 3.88969i | 0.0753199 | + | 0.129084i | ||||
\(909\) | 14.2169 | + | 50.6449i | 0.471544 | + | 1.67979i | ||||
\(910\) | −16.9597 | + | 0.0389871i | −0.562207 | + | 0.00129241i | ||||
\(911\) | 2.88939 | − | 49.6089i | 0.0957298 | − | 1.64362i | −0.518924 | − | 0.854820i | \(-0.673667\pi\) |
0.614654 | − | 0.788797i | \(-0.289296\pi\) | |||||||
\(912\) | −1.52939 | − | 51.5205i | −0.0506432 | − | 1.70602i | ||||
\(913\) | 15.6171 | + | 36.2046i | 0.516852 | + | 1.19820i | ||||
\(914\) | 4.37553 | − | 14.7385i | 0.144730 | − | 0.487507i | ||||
\(915\) | −3.33312 | + | 3.27623i | −0.110190 | + | 0.108309i | ||||
\(916\) | 0.934527 | − | 0.113588i | 0.0308776 | − | 0.00375306i | ||||
\(917\) | −22.1944 | − | 12.8139i | −0.732923 | − | 0.423153i | ||||
\(918\) | −17.1458 | − | 14.2252i | −0.565895 | − | 0.469501i | ||||
\(919\) | 17.5510 | − | 10.1331i | 0.578956 | − | 0.334260i | −0.181763 | − | 0.983342i | \(-0.558180\pi\) |
0.760718 | + | 0.649082i | \(0.224847\pi\) | |||||||
\(920\) | −0.615672 | − | 0.572883i | −0.0202981 | − | 0.0188874i | ||||
\(921\) | 18.9708 | − | 39.7853i | 0.625109 | − | 1.31097i | ||||
\(922\) | 20.8922 | − | 19.8018i | 0.688049 | − | 0.652137i | ||||
\(923\) | 28.1393 | − | 37.7976i | 0.926215 | − | 1.24412i | ||||
\(924\) | −40.4734 | − | 6.09436i | −1.33148 | − | 0.200490i | ||||
\(925\) | −12.6991 | − | 8.35233i | −0.417544 | − | 0.274623i | ||||
\(926\) | 35.5858 | − | 20.6547i | 1.16942 | − | 0.678755i | ||||
\(927\) | 6.81015 | + | 7.47194i | 0.223675 | + | 0.245411i | ||||
\(928\) | −31.9335 | + | 18.9295i | −1.04827 | + | 0.621391i | ||||
\(929\) | 9.55070 | − | 7.11023i | 0.313348 | − | 0.233279i | −0.428982 | − | 0.903313i | \(-0.641128\pi\) |
0.742331 | + | 0.670034i | \(0.233720\pi\) | |||||||
\(930\) | 4.08245 | − | 4.52954i | 0.133869 | − | 0.148530i | ||||
\(931\) | −60.9151 | + | 57.4704i | −1.99641 | + | 1.88352i | ||||
\(932\) | 9.16480 | − | 18.4597i | 0.300203 | − | 0.604669i | ||||
\(933\) | 20.6763 | − | 50.7675i | 0.676913 | − | 1.66205i | ||||
\(934\) | 12.7994 | − | 13.6292i | 0.418809 | − | 0.445961i | ||||
\(935\) | −3.69283 | − | 1.34408i | −0.120768 | − | 0.0439561i | ||||
\(936\) | −46.8553 | + | 19.6405i | −1.53151 | + | 0.641969i | ||||
\(937\) | −15.1903 | + | 5.52881i | −0.496245 | + | 0.180618i | −0.578004 | − | 0.816034i | \(-0.696168\pi\) |
0.0817594 | + | 0.996652i | \(0.473946\pi\) | |||||||
\(938\) | 1.53619 | − | 3.58392i | 0.0501584 | − | 0.117019i | ||||
\(939\) | 18.7700 | + | 31.0253i | 0.612536 | + | 1.01247i | ||||
\(940\) | −0.642717 | − | 0.189201i | −0.0209631 | − | 0.00617107i | ||||
\(941\) | 9.45986 | + | 14.3830i | 0.308383 | + | 0.468873i | 0.956114 | − | 0.292996i | \(-0.0946523\pi\) |
−0.647731 | + | 0.761869i | \(0.724282\pi\) | |||||||
\(942\) | 4.17841 | − | 1.09140i | 0.136140 | − | 0.0355596i | ||||
\(943\) | −6.90567 | + | 2.06742i | −0.224880 | + | 0.0673245i | ||||
\(944\) | −12.1494 | − | 4.29593i | −0.395430 | − | 0.139821i | ||||
\(945\) | 10.3878 | − | 0.639065i | 0.337915 | − | 0.0207888i | ||||
\(946\) | 7.56006 | − | 20.9206i | 0.245799 | − | 0.680188i | ||||
\(947\) | 50.3984 | + | 11.9446i | 1.63773 | + | 0.388148i | 0.943438 | − | 0.331548i | \(-0.107571\pi\) |
0.694289 | + | 0.719697i | \(0.255719\pi\) | |||||||
\(948\) | 8.65606 | + | 12.4683i | 0.281136 | + | 0.404950i | ||||
\(949\) | 7.85375 | + | 3.94430i | 0.254944 | + | 0.128037i | ||||
\(950\) | −27.7337 | − | 41.9566i | −0.899798 | − | 1.36125i | ||||
\(951\) | 12.8313 | + | 1.99247i | 0.416082 | + | 0.0646102i | ||||
\(952\) | −32.6279 | + | 16.6691i | −1.05748 | + | 0.540249i | ||||
\(953\) | 17.1965 | + | 3.03221i | 0.557051 | + | 0.0982230i | 0.445084 | − | 0.895489i | \(-0.353174\pi\) |
0.111967 | + | 0.993712i | \(0.464285\pi\) | |||||||
\(954\) | 4.25680 | + | 15.0312i | 0.137819 | + | 0.486652i | ||||
\(955\) | −5.50328 | + | 0.970377i | −0.178082 | + | 0.0314006i | ||||
\(956\) | 40.9290 | − | 20.7915i | 1.32374 | − | 0.672445i | ||||
\(957\) | 23.2989 | + | 21.0964i | 0.753147 | + | 0.681951i | ||||
\(958\) | 30.1603 | + | 3.45497i | 0.974435 | + | 0.111625i | ||||
\(959\) | −32.1218 | + | 7.61300i | −1.03727 | + | 0.245837i | ||||
\(960\) | 3.11228 | + | 5.70111i | 0.100448 | + | 0.184003i | ||||
\(961\) | 1.10777 | − | 2.56811i | 0.0357347 | − | 0.0828423i | ||||
\(962\) | 20.6646 | + | 17.2589i | 0.666254 | + | 0.556448i | ||||
\(963\) | 1.60835 | + | 0.312234i | 0.0518283 | + | 0.0100616i | ||||
\(964\) | −12.7682 | − | 4.58089i | −0.411238 | − | 0.147541i | ||||
\(965\) | −2.37847 | − | 4.73592i | −0.0765656 | − | 0.152455i | ||||
\(966\) | 2.41206 | + | 6.18495i | 0.0776067 | + | 0.198998i | ||||
\(967\) | 0.876724 | − | 7.50085i | 0.0281935 | − | 0.241211i | −0.971792 | − | 0.235839i | \(-0.924216\pi\) |
0.999986 | − | 0.00537166i | \(-0.00170986\pi\) | |||||||
\(968\) | 7.88831 | − | 5.26652i | 0.253540 | − | 0.169272i | ||||
\(969\) | −22.6821 | + | 31.8071i | −0.728654 | + | 1.02179i | ||||
\(970\) | −2.41599 | + | 3.69179i | −0.0775727 | + | 0.118536i | ||||
\(971\) | 44.3909 | 1.42457 | 0.712286 | − | 0.701889i | \(-0.247660\pi\) | ||||
0.712286 | + | 0.701889i | \(0.247660\pi\) | |||||||
\(972\) | 27.9903 | − | 13.7310i | 0.897791 | − | 0.440422i | ||||
\(973\) | 76.3502 | 2.44767 | ||||||||
\(974\) | 19.0507 | − | 29.1107i | 0.610424 | − | 0.932768i | ||||
\(975\) | −28.7830 | + | 40.3624i | −0.921794 | + | 1.29263i | ||||
\(976\) | 15.9544 | + | 16.6022i | 0.510689 | + | 0.531424i | ||||
\(977\) | 1.65269 | − | 14.1397i | 0.0528743 | − | 0.452369i | −0.940705 | − | 0.339227i | \(-0.889835\pi\) |
0.993579 | − | 0.113142i | \(-0.0360914\pi\) | |||||||
\(978\) | 1.53025 | + | 3.92383i | 0.0489320 | + | 0.125470i | ||||
\(979\) | −21.6558 | − | 43.1203i | −0.692124 | − | 1.37813i | ||||
\(980\) | 3.56386 | − | 9.93350i | 0.113843 | − | 0.317314i | ||||
\(981\) | 13.5331 | − | 15.5755i | 0.432077 | − | 0.497287i | ||||
\(982\) | 24.3853 | + | 20.3664i | 0.778167 | + | 0.649917i | ||||
\(983\) | −13.7122 | + | 31.7884i | −0.437350 | + | 1.01389i | 0.546914 | + | 0.837189i | \(0.315803\pi\) |
−0.984264 | + | 0.176703i | \(0.943457\pi\) | |||||||
\(984\) | 55.6485 | + | 1.71452i | 1.77401 | + | 0.0546569i | ||||
\(985\) | 2.45224 | − | 0.581192i | 0.0781349 | − | 0.0185183i | ||||
\(986\) | 27.9534 | + | 3.20217i | 0.890218 | + | 0.101978i | ||||
\(987\) | 3.92049 | + | 3.54988i | 0.124791 | + | 0.112994i | ||||
\(988\) | 40.3486 | + | 79.4280i | 1.28366 | + | 2.52694i | ||||
\(989\) | −3.55320 | + | 0.626526i | −0.112985 | + | 0.0199224i | ||||
\(990\) | 3.83320 | − | 3.94342i | 0.121827 | − | 0.125330i | ||||
\(991\) | 26.8191 | + | 4.72893i | 0.851937 | + | 0.150220i | 0.582532 | − | 0.812807i | \(-0.302062\pi\) |
0.269405 | + | 0.963027i | \(0.413173\pi\) | |||||||
\(992\) | −22.0870 | − | 20.3633i | −0.701263 | − | 0.646536i | ||||
\(993\) | −45.7539 | − | 7.10476i | −1.45196 | − | 0.225463i | ||||
\(994\) | 26.2239 | + | 39.6726i | 0.831772 | + | 1.25834i | ||||
\(995\) | −2.24992 | − | 1.12995i | −0.0713272 | − | 0.0358219i | ||||
\(996\) | −40.5745 | + | 28.1688i | −1.28565 | + | 0.892562i | ||||
\(997\) | −52.8526 | − | 12.5263i | −1.67386 | − | 0.396712i | −0.719291 | − | 0.694709i | \(-0.755533\pi\) |
−0.954567 | + | 0.297997i | \(0.903681\pi\) | |||||||
\(998\) | −1.12595 | + | 3.11579i | −0.0356413 | + | 0.0986285i | ||||
\(999\) | −13.2848 | − | 9.82292i | −0.420313 | − | 0.310783i |
(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 | 324.2.p.a.11.11 | ✓ | 936 | |
3.2 | odd | 2 | 972.2.p.a.359.42 | 936 | |||
4.3 | odd | 2 | inner | 324.2.p.a.11.17 | yes | 936 | |
12.11 | even | 2 | 972.2.p.a.359.36 | 936 | |||
81.22 | even | 27 | 972.2.p.a.287.36 | 936 | |||
81.59 | odd | 54 | inner | 324.2.p.a.59.17 | yes | 936 | |
324.59 | even | 54 | inner | 324.2.p.a.59.11 | yes | 936 | |
324.103 | odd | 54 | 972.2.p.a.287.42 | 936 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.2.p.a.11.11 | ✓ | 936 | 1.1 | even | 1 | trivial | |
324.2.p.a.11.17 | yes | 936 | 4.3 | odd | 2 | inner | |
324.2.p.a.59.11 | yes | 936 | 324.59 | even | 54 | inner | |
324.2.p.a.59.17 | yes | 936 | 81.59 | odd | 54 | inner | |
972.2.p.a.287.36 | 936 | 81.22 | even | 27 | |||
972.2.p.a.287.42 | 936 | 324.103 | odd | 54 | |||
972.2.p.a.359.36 | 936 | 12.11 | even | 2 | |||
972.2.p.a.359.42 | 936 | 3.2 | odd | 2 |