Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(32,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bf (of order \(12\), degree \(4\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 32.12 | ||
Character | \(\chi\) | \(=\) | 525.32 |
Dual form | 525.2.bf.f.443.12 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.35640 | + | 0.631395i | 1.66623 | + | 0.446464i | 0.964089 | − | 0.265578i | \(-0.0855629\pi\) |
0.702137 | + | 0.712042i | \(0.252230\pi\) | |||||||
\(3\) | −1.72899 | + | 0.102851i | −0.998235 | + | 0.0593810i | ||||
\(4\) | 3.42191 | + | 1.97564i | 1.71095 | + | 0.987819i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −4.13914 | − | 0.849321i | −1.68980 | − | 0.346734i | ||||
\(7\) | 1.91891 | − | 1.82148i | 0.725281 | − | 0.688453i | ||||
\(8\) | 3.36596 | + | 3.36596i | 1.19005 | + | 1.19005i | ||||
\(9\) | 2.97884 | − | 0.355658i | 0.992948 | − | 0.118553i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.08053 | + | 1.77855i | 0.928816 | + | 0.536252i | 0.886437 | − | 0.462850i | \(-0.153173\pi\) |
0.0423788 | + | 0.999102i | \(0.486506\pi\) | |||||||
\(12\) | −6.11965 | − | 3.06392i | −1.76659 | − | 0.884478i | ||||
\(13\) | −1.28412 | + | 1.28412i | −0.356151 | + | 0.356151i | −0.862392 | − | 0.506241i | \(-0.831035\pi\) |
0.506241 | + | 0.862392i | \(0.331035\pi\) | |||||||
\(14\) | 5.67179 | − | 3.08053i | 1.51585 | − | 0.823307i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.85502 | + | 3.21299i | 0.463755 | + | 0.803247i | ||||
\(17\) | 0.792145 | + | 2.95633i | 0.192123 | + | 0.717015i | 0.992993 | + | 0.118175i | \(0.0377045\pi\) |
−0.800869 | + | 0.598839i | \(0.795629\pi\) | |||||||
\(18\) | 7.24390 | + | 1.04276i | 1.70740 | + | 0.245780i | ||||
\(19\) | 0.331717 | − | 0.191517i | 0.0761011 | − | 0.0439370i | −0.461467 | − | 0.887158i | \(-0.652677\pi\) |
0.537568 | + | 0.843221i | \(0.319343\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.13045 | + | 3.34668i | −0.683120 | + | 0.730306i | ||||
\(22\) | 6.13600 | + | 6.13600i | 1.30820 | + | 1.30820i | ||||
\(23\) | −0.658656 | + | 2.45814i | −0.137339 | + | 0.512557i | 0.862638 | + | 0.505822i | \(0.168811\pi\) |
−0.999977 | + | 0.00673550i | \(0.997856\pi\) | |||||||
\(24\) | −6.16592 | − | 5.47354i | −1.25861 | − | 1.11728i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.83669 | + | 2.21512i | −0.752437 | + | 0.434420i | ||||
\(27\) | −5.11382 | + | 0.921307i | −0.984156 | + | 0.177306i | ||||
\(28\) | 10.1649 | − | 2.44184i | 1.92099 | − | 0.461465i | ||||
\(29\) | −5.51741 | −1.02456 | −0.512279 | − | 0.858819i | \(-0.671199\pi\) | ||||
−0.512279 | + | 0.858819i | \(0.671199\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.323980 | − | 0.561149i | 0.0581885 | − | 0.100785i | −0.835464 | − | 0.549546i | \(-0.814801\pi\) |
0.893652 | + | 0.448760i | \(0.148134\pi\) | |||||||
\(32\) | −0.121554 | − | 0.453646i | −0.0214880 | − | 0.0801941i | ||||
\(33\) | −5.50915 | − | 2.75826i | −0.959020 | − | 0.480152i | ||||
\(34\) | 7.46644i | 1.28048i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 10.8960 | + | 4.66809i | 1.81600 | + | 0.778015i | ||||
\(37\) | 1.34101 | − | 5.00473i | 0.220461 | − | 0.822772i | −0.763711 | − | 0.645558i | \(-0.776625\pi\) |
0.984172 | − | 0.177214i | \(-0.0567086\pi\) | |||||||
\(38\) | 0.902580 | − | 0.241846i | 0.146418 | − | 0.0392325i | ||||
\(39\) | 2.08817 | − | 2.35231i | 0.334374 | − | 0.376671i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 10.1075i | − | 1.57852i | −0.614060 | − | 0.789259i | \(-0.710465\pi\) | ||
0.614060 | − | 0.789259i | \(-0.289535\pi\) | |||||||
\(42\) | −9.48967 | + | 5.90957i | −1.46429 | + | 0.911867i | ||||
\(43\) | 0.335236 | − | 0.335236i | 0.0511231 | − | 0.0511231i | −0.681083 | − | 0.732206i | \(-0.738491\pi\) |
0.732206 | + | 0.681083i | \(0.238491\pi\) | |||||||
\(44\) | 7.02753 | + | 12.1720i | 1.05944 | + | 1.83500i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.10411 | + | 5.37648i | −0.457677 | + | 0.792719i | ||||
\(47\) | 2.80533 | + | 0.751687i | 0.409200 | + | 0.109645i | 0.457546 | − | 0.889186i | \(-0.348728\pi\) |
−0.0483463 | + | 0.998831i | \(0.515395\pi\) | |||||||
\(48\) | −3.53778 | − | 5.36445i | −0.510634 | − | 0.774291i | ||||
\(49\) | 0.364449 | − | 6.99051i | 0.0520641 | − | 0.998644i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.67368 | − | 5.03000i | −0.234362 | − | 0.704341i | ||||
\(52\) | −6.93111 | + | 1.85718i | −0.961171 | + | 0.257545i | ||||
\(53\) | −3.04243 | + | 0.815217i | −0.417910 | + | 0.111979i | −0.461645 | − | 0.887065i | \(-0.652741\pi\) |
0.0437355 | + | 0.999043i | \(0.486074\pi\) | |||||||
\(54\) | −12.6319 | − | 1.05788i | −1.71899 | − | 0.143959i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 12.5900 | + | 0.327966i | 1.68241 | + | 0.0438263i | ||||
\(57\) | −0.553839 | + | 0.365249i | −0.0733578 | + | 0.0483784i | ||||
\(58\) | −13.0012 | − | 3.48367i | −1.70714 | − | 0.457428i | ||||
\(59\) | −3.81595 | + | 6.60942i | −0.496795 | + | 0.860474i | −0.999993 | − | 0.00369723i | \(-0.998823\pi\) |
0.503198 | + | 0.864171i | \(0.332156\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.45977 | − | 9.45659i | −0.699051 | − | 1.21079i | −0.968796 | − | 0.247860i | \(-0.920273\pi\) |
0.269744 | − | 0.962932i | \(-0.413061\pi\) | |||||||
\(62\) | 1.11773 | − | 1.11773i | 0.141952 | − | 0.141952i | ||||
\(63\) | 5.06832 | − | 6.10837i | 0.638548 | − | 0.769582i | ||||
\(64\) | − | 8.56580i | − | 1.07072i | ||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −11.2402 | − | 9.97802i | −1.38357 | − | 1.22821i | ||||
\(67\) | −12.3899 | + | 3.31987i | −1.51367 | + | 0.405586i | −0.917652 | − | 0.397386i | \(-0.869918\pi\) |
−0.596017 | + | 0.802972i | \(0.703251\pi\) | |||||||
\(68\) | −3.12999 | + | 11.6813i | −0.379567 | + | 1.41656i | ||||
\(69\) | 0.885991 | − | 4.31785i | 0.106661 | − | 0.519808i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.06673i | 0.363954i | 0.983303 | + | 0.181977i | \(0.0582497\pi\) | ||||
−0.983303 | + | 0.181977i | \(0.941750\pi\) | |||||||
\(72\) | 11.2238 | + | 8.82954i | 1.32274 | + | 1.04057i | ||||
\(73\) | 0.849702 | + | 3.17113i | 0.0994501 | + | 0.371153i | 0.997657 | − | 0.0684210i | \(-0.0217961\pi\) |
−0.898206 | + | 0.439574i | \(0.855129\pi\) | |||||||
\(74\) | 6.31993 | − | 10.9464i | 0.734676 | − | 1.27250i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.51347 | 0.173607 | ||||||||
\(77\) | 9.15085 | − | 2.19824i | 1.04284 | − | 0.250513i | ||||
\(78\) | 6.40579 | − | 4.22453i | 0.725313 | − | 0.478334i | ||||
\(79\) | −3.21262 | + | 1.85480i | −0.361448 | + | 0.208682i | −0.669716 | − | 0.742618i | \(-0.733584\pi\) |
0.308268 | + | 0.951300i | \(0.400251\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.74702 | − | 2.11890i | 0.971891 | − | 0.235433i | ||||
\(82\) | 6.38180 | − | 23.8172i | 0.704752 | − | 2.63017i | ||||
\(83\) | −0.973978 | − | 0.973978i | −0.106908 | − | 0.106908i | 0.651629 | − | 0.758537i | \(-0.274086\pi\) |
−0.758537 | + | 0.651629i | \(0.774086\pi\) | |||||||
\(84\) | −17.3239 | + | 5.26741i | −1.89020 | + | 0.574721i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.00162 | − | 0.578284i | 0.108007 | − | 0.0623580i | ||||
\(87\) | 9.53957 | − | 0.567471i | 1.02275 | − | 0.0608393i | ||||
\(88\) | 4.38244 | + | 16.3555i | 0.467169 | + | 1.74350i | ||||
\(89\) | −1.51967 | − | 2.63215i | −0.161085 | − | 0.279007i | 0.774173 | − | 0.632974i | \(-0.218166\pi\) |
−0.935258 | + | 0.353967i | \(0.884833\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.125120 | + | 4.80311i | −0.0131161 | + | 0.503503i | ||||
\(92\) | −7.11025 | + | 7.11025i | −0.741295 | + | 0.741295i | ||||
\(93\) | −0.502444 | + | 1.00355i | −0.0521011 | + | 0.104063i | ||||
\(94\) | 6.13587 | + | 3.54255i | 0.632867 | + | 0.365386i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.256825 | + | 0.771850i | 0.0262120 | + | 0.0787766i | ||||
\(97\) | 10.3438 | + | 10.3438i | 1.05025 | + | 1.05025i | 0.998669 | + | 0.0515850i | \(0.0164273\pi\) |
0.0515850 | + | 0.998669i | \(0.483573\pi\) | |||||||
\(98\) | 5.27256 | − | 16.2423i | 0.532609 | − | 1.64072i | ||||
\(99\) | 9.80898 | + | 4.20240i | 0.985839 | + | 0.422357i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.158115 | + | 0.0912877i | 0.0157330 | + | 0.00908347i | 0.507846 | − | 0.861448i | \(-0.330442\pi\) |
−0.492113 | + | 0.870531i | \(0.663775\pi\) | |||||||
\(102\) | −0.767931 | − | 12.9094i | −0.0760365 | − | 1.27822i | ||||
\(103\) | −4.69347 | − | 1.25761i | −0.462461 | − | 0.123916i | 0.0200632 | − | 0.999799i | \(-0.493613\pi\) |
−0.482524 | + | 0.875883i | \(0.660280\pi\) | |||||||
\(104\) | −8.64461 | −0.847674 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.68390 | −0.746327 | ||||||||
\(107\) | −10.4080 | − | 2.78881i | −1.00618 | − | 0.269605i | −0.282146 | − | 0.959371i | \(-0.591046\pi\) |
−0.724032 | + | 0.689767i | \(0.757713\pi\) | |||||||
\(108\) | −19.3192 | − | 6.95044i | −1.85899 | − | 0.668807i | ||||
\(109\) | 8.84242 | + | 5.10517i | 0.846950 | + | 0.488987i | 0.859621 | − | 0.510933i | \(-0.170700\pi\) |
−0.0126703 | + | 0.999920i | \(0.504033\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.80386 | + | 8.79107i | −0.171215 | + | 0.834412i | ||||
\(112\) | 9.41200 | + | 2.78657i | 0.889350 | + | 0.263306i | ||||
\(113\) | −7.98156 | − | 7.98156i | −0.750842 | − | 0.750842i | 0.223794 | − | 0.974636i | \(-0.428156\pi\) |
−0.974636 | + | 0.223794i | \(0.928156\pi\) | |||||||
\(114\) | −1.53568 | + | 0.510981i | −0.143830 | + | 0.0478578i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −18.8801 | − | 10.9004i | −1.75297 | − | 1.01208i | ||||
\(117\) | −3.36849 | + | 4.28191i | −0.311417 | + | 0.395862i | ||||
\(118\) | −13.1651 | + | 13.1651i | −1.21194 | + | 1.21194i | ||||
\(119\) | 6.90494 | + | 4.23006i | 0.632974 | + | 0.387769i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.826456 | + | 1.43146i | 0.0751323 | + | 0.130133i | ||||
\(122\) | −6.89454 | − | 25.7308i | −0.624202 | − | 2.32955i | ||||
\(123\) | 1.03956 | + | 17.4757i | 0.0937341 | + | 1.57573i | ||||
\(124\) | 2.21726 | − | 1.28013i | 0.199116 | − | 0.114959i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 15.7998 | − | 11.1936i | 1.40756 | − | 0.997209i | ||||
\(127\) | −2.79324 | − | 2.79324i | −0.247860 | − | 0.247860i | 0.572232 | − | 0.820092i | \(-0.306078\pi\) |
−0.820092 | + | 0.572232i | \(0.806078\pi\) | |||||||
\(128\) | 5.16530 | − | 19.2771i | 0.456552 | − | 1.70387i | ||||
\(129\) | −0.545143 | + | 0.614101i | −0.0479971 | + | 0.0540686i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.64504 | + | 4.41386i | −0.667950 | + | 0.385641i | −0.795299 | − | 0.606217i | \(-0.792686\pi\) |
0.127349 | + | 0.991858i | \(0.459353\pi\) | |||||||
\(132\) | −13.4025 | − | 20.3226i | −1.16654 | − | 1.76886i | ||||
\(133\) | 0.287692 | − | 0.971718i | 0.0249461 | − | 0.0842587i | ||||
\(134\) | −31.2917 | −2.70319 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.28455 | + | 12.6172i | −0.624645 | + | 1.08192i | ||||
\(137\) | 3.09498 | + | 11.5506i | 0.264422 | + | 0.986836i | 0.962603 | + | 0.270915i | \(0.0873263\pi\) |
−0.698181 | + | 0.715921i | \(0.746007\pi\) | |||||||
\(138\) | 4.81402 | − | 9.61517i | 0.409797 | − | 0.818498i | ||||
\(139\) | 8.03342i | 0.681386i | 0.940175 | + | 0.340693i | \(0.110662\pi\) | ||||
−0.940175 | + | 0.340693i | \(0.889338\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.92772 | − | 1.01113i | −0.414989 | − | 0.0851526i | ||||
\(142\) | −1.93632 | + | 7.22644i | −0.162492 | + | 0.606430i | ||||
\(143\) | −6.23965 | + | 1.67191i | −0.521786 | + | 0.139812i | ||||
\(144\) | 6.66853 | + | 8.91123i | 0.555711 | + | 0.742603i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 8.00895i | 0.662826i | ||||||||
\(147\) | 0.0888504 | + | 12.1240i | 0.00732825 | + | 0.999973i | ||||
\(148\) | 14.4764 | − | 14.4764i | 1.18995 | − | 1.18995i | ||||
\(149\) | −8.89069 | − | 15.3991i | −0.728354 | − | 1.26155i | −0.957579 | − | 0.288172i | \(-0.906952\pi\) |
0.229225 | − | 0.973374i | \(-0.426381\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.95334 | + | 17.2397i | −0.809991 | + | 1.40295i | 0.102878 | + | 0.994694i | \(0.467195\pi\) |
−0.912869 | + | 0.408252i | \(0.866139\pi\) | |||||||
\(152\) | 1.76118 | + | 0.471908i | 0.142851 | + | 0.0382768i | ||||
\(153\) | 3.41112 | + | 8.52470i | 0.275772 | + | 0.689181i | ||||
\(154\) | 22.9510 | + | 0.597868i | 1.84945 | + | 0.0481776i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 11.7928 | − | 3.92393i | 0.944182 | − | 0.314166i | ||||
\(157\) | 9.98465 | − | 2.67538i | 0.796862 | − | 0.213519i | 0.162656 | − | 0.986683i | \(-0.447994\pi\) |
0.634206 | + | 0.773164i | \(0.281327\pi\) | |||||||
\(158\) | −8.74132 | + | 2.34223i | −0.695422 | + | 0.186338i | ||||
\(159\) | 5.17650 | − | 1.72242i | 0.410523 | − | 0.136597i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.21354 | + | 5.91668i | 0.253262 | + | 0.466300i | ||||
\(162\) | 21.9493 | + | 0.529858i | 1.72450 | + | 0.0416296i | ||||
\(163\) | 19.3203 | + | 5.17687i | 1.51329 | + | 0.405484i | 0.917525 | − | 0.397678i | \(-0.130184\pi\) |
0.595761 | + | 0.803162i | \(0.296851\pi\) | |||||||
\(164\) | 19.9687 | − | 34.5868i | 1.55929 | − | 2.70077i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.68012 | − | 2.91005i | −0.130402 | − | 0.225863i | ||||
\(167\) | 6.08875 | − | 6.08875i | 0.471162 | − | 0.471162i | −0.431129 | − | 0.902290i | \(-0.641884\pi\) |
0.902290 | + | 0.431129i | \(0.141884\pi\) | |||||||
\(168\) | −21.8018 | + | 0.727843i | −1.68204 | + | 0.0561543i | ||||
\(169\) | 9.70206i | 0.746312i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.920018 | − | 0.688476i | 0.0703556 | − | 0.0526491i | ||||
\(172\) | 1.80945 | − | 0.484842i | 0.137970 | − | 0.0369688i | ||||
\(173\) | 0.435117 | − | 1.62388i | 0.0330813 | − | 0.123461i | −0.947411 | − | 0.320021i | \(-0.896310\pi\) |
0.980492 | + | 0.196559i | \(0.0629768\pi\) | |||||||
\(174\) | 22.8373 | + | 4.68605i | 1.73129 | + | 0.355249i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.1969i | 0.994758i | ||||||||
\(177\) | 5.91797 | − | 11.8201i | 0.444822 | − | 0.888455i | ||||
\(178\) | −1.91903 | − | 7.16190i | −0.143837 | − | 0.536807i | ||||
\(179\) | −10.5758 | + | 18.3178i | −0.790470 | + | 1.36913i | 0.135206 | + | 0.990818i | \(0.456830\pi\) |
−0.925676 | + | 0.378317i | \(0.876503\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.4232 | 1.66671 | 0.833353 | − | 0.552740i | \(-0.186418\pi\) | ||||
0.833353 | + | 0.552740i | \(0.186418\pi\) | |||||||
\(182\) | −3.32750 | + | 11.2391i | −0.246650 | + | 0.833094i | ||||
\(183\) | 10.4125 | + | 15.7889i | 0.769716 | + | 1.16715i | ||||
\(184\) | −10.4910 | + | 6.05699i | −0.773407 | + | 0.446527i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.81759 | + | 2.04751i | −0.133272 | + | 0.150131i | ||||
\(187\) | −2.81773 | + | 10.5159i | −0.206053 | + | 0.769001i | ||||
\(188\) | 8.11453 | + | 8.11453i | 0.591813 | + | 0.591813i | ||||
\(189\) | −8.13484 | + | 11.0826i | −0.591723 | + | 0.806142i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.3692 | − | 9.45078i | 1.18444 | − | 0.683834i | 0.227399 | − | 0.973802i | \(-0.426978\pi\) |
0.957037 | + | 0.289967i | \(0.0936444\pi\) | |||||||
\(192\) | 0.881001 | + | 14.8102i | 0.0635807 | + | 1.06884i | ||||
\(193\) | −3.98500 | − | 14.8722i | −0.286847 | − | 1.07053i | −0.947479 | − | 0.319817i | \(-0.896379\pi\) |
0.660633 | − | 0.750709i | \(-0.270288\pi\) | |||||||
\(194\) | 17.8431 | + | 30.9051i | 1.28106 | + | 2.21886i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 15.0578 | − | 23.2008i | 1.07556 | − | 1.65720i | ||||
\(197\) | −0.582177 | + | 0.582177i | −0.0414784 | + | 0.0414784i | −0.727542 | − | 0.686063i | \(-0.759337\pi\) |
0.686063 | + | 0.727542i | \(0.259337\pi\) | |||||||
\(198\) | 20.4605 | + | 16.0959i | 1.45406 | + | 1.14388i | ||||
\(199\) | −4.00381 | − | 2.31160i | −0.283823 | − | 0.163865i | 0.351330 | − | 0.936252i | \(-0.385730\pi\) |
−0.635153 | + | 0.772387i | \(0.719063\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 21.0806 | − | 7.01435i | 1.48691 | − | 0.494754i | ||||
\(202\) | 0.314943 | + | 0.314943i | 0.0221593 | + | 0.0221593i | ||||
\(203\) | −10.5874 | + | 10.0498i | −0.743092 | + | 0.705360i | ||||
\(204\) | 4.21030 | − | 20.5188i | 0.294780 | − | 1.43660i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −10.2656 | − | 5.92686i | −0.715240 | − | 0.412944i | ||||
\(207\) | −1.08778 | + | 7.55667i | −0.0756058 | + | 0.525225i | ||||
\(208\) | −6.50794 | − | 1.74380i | −0.451244 | − | 0.120911i | ||||
\(209\) | 1.36249 | 0.0942452 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.8142 | 1.57060 | 0.785298 | − | 0.619118i | \(-0.212510\pi\) | ||||
0.785298 | + | 0.619118i | \(0.212510\pi\) | |||||||
\(212\) | −12.0215 | − | 3.22115i | −0.825639 | − | 0.221229i | ||||
\(213\) | −0.315416 | − | 5.30236i | −0.0216120 | − | 0.363312i | ||||
\(214\) | −22.7645 | − | 13.1431i | −1.55615 | − | 0.898444i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −20.3140 | − | 14.1118i | −1.38219 | − | 0.960190i | ||||
\(217\) | −0.400432 | − | 1.66692i | −0.0271831 | − | 0.113158i | ||||
\(218\) | 17.6129 | + | 17.6129i | 1.19290 | + | 1.19290i | ||||
\(219\) | −1.79528 | − | 5.39548i | −0.121314 | − | 0.364593i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.81349 | − | 2.77907i | −0.323791 | − | 0.186941i | ||||
\(222\) | −9.80126 | + | 19.5763i | −0.657818 | + | 1.31388i | ||||
\(223\) | 9.51124 | − | 9.51124i | 0.636920 | − | 0.636920i | −0.312875 | − | 0.949794i | \(-0.601292\pi\) |
0.949794 | + | 0.312875i | \(0.101292\pi\) | |||||||
\(224\) | −1.05956 | − | 0.649100i | −0.0707947 | − | 0.0433698i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.7682 | − | 23.8473i | −0.915849 | − | 1.58630i | ||||
\(227\) | −0.571878 | − | 2.13428i | −0.0379569 | − | 0.141657i | 0.944347 | − | 0.328951i | \(-0.106695\pi\) |
−0.982304 | + | 0.187294i | \(0.940028\pi\) | |||||||
\(228\) | −2.61679 | + | 0.155662i | −0.173301 | + | 0.0103090i | ||||
\(229\) | −22.0869 | + | 12.7519i | −1.45954 | + | 0.842668i | −0.998989 | − | 0.0449629i | \(-0.985683\pi\) |
−0.460555 | + | 0.887631i | \(0.652350\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −15.5957 | + | 4.74192i | −1.02612 | + | 0.311996i | ||||
\(232\) | −18.5714 | − | 18.5714i | −1.21927 | − | 1.21927i | ||||
\(233\) | 6.67968 | − | 24.9289i | 0.437601 | − | 1.63315i | −0.297164 | − | 0.954826i | \(-0.596041\pi\) |
0.734765 | − | 0.678322i | \(-0.237292\pi\) | |||||||
\(234\) | −10.6411 | + | 7.96303i | −0.695629 | + | 0.520560i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −26.1157 | + | 15.0779i | −1.69998 | + | 0.981487i | ||||
\(237\) | 5.36383 | − | 3.53737i | 0.348418 | − | 0.229777i | ||||
\(238\) | 13.5999 | + | 14.3274i | 0.881554 | + | 0.928711i | ||||
\(239\) | 5.35194 | 0.346188 | 0.173094 | − | 0.984905i | \(-0.444624\pi\) | ||||
0.173094 | + | 0.984905i | \(0.444624\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.02361 | + | 6.96910i | −0.259184 | + | 0.448919i | −0.966023 | − | 0.258454i | \(-0.916787\pi\) |
0.706840 | + | 0.707374i | \(0.250120\pi\) | |||||||
\(242\) | 1.04364 | + | 3.89492i | 0.0670877 | + | 0.250375i | ||||
\(243\) | −14.9056 | + | 4.56320i | −0.956195 | + | 0.292729i | ||||
\(244\) | − | 43.1461i | − | 2.76215i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −8.58447 | + | 41.8362i | −0.547326 | + | 2.66738i | ||||
\(247\) | −0.180034 | + | 0.671896i | −0.0114553 | + | 0.0427517i | ||||
\(248\) | 2.97931 | − | 0.798304i | 0.189186 | − | 0.0506923i | ||||
\(249\) | 1.78418 | + | 1.58383i | 0.113068 | + | 0.100371i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.25486i | 0.268565i | 0.990943 | + | 0.134282i | \(0.0428729\pi\) | ||||
−0.990943 | + | 0.134282i | \(0.957127\pi\) | |||||||
\(252\) | 29.4112 | − | 10.8891i | 1.85273 | − | 0.685949i | ||||
\(253\) | −6.40093 | + | 6.40093i | −0.402423 | + | 0.402423i | ||||
\(254\) | −4.81835 | − | 8.34562i | −0.302330 | − | 0.523651i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.7772 | − | 27.3269i | 0.986075 | − | 1.70793i | ||||
\(257\) | 3.49869 | + | 0.937470i | 0.218242 | + | 0.0584778i | 0.366283 | − | 0.930503i | \(-0.380630\pi\) |
−0.148041 | + | 0.988981i | \(0.547297\pi\) | |||||||
\(258\) | −1.67231 | + | 1.10287i | −0.104114 | + | 0.0686615i | ||||
\(259\) | −6.54271 | − | 12.0463i | −0.406544 | − | 0.748518i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −16.4355 | + | 1.96231i | −1.01733 | + | 0.121464i | ||||
\(262\) | −20.8017 | + | 5.57379i | −1.28513 | + | 0.344350i | ||||
\(263\) | 7.44545 | − | 1.99500i | 0.459106 | − | 0.123017i | −0.0218510 | − | 0.999761i | \(-0.506956\pi\) |
0.480957 | + | 0.876744i | \(0.340289\pi\) | |||||||
\(264\) | −9.25938 | − | 27.8278i | −0.569876 | − | 1.71268i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.29146 | − | 2.10811i | 0.0791843 | − | 0.129256i | ||||
\(267\) | 2.89822 | + | 4.39467i | 0.177368 | + | 0.268949i | ||||
\(268\) | −48.9560 | − | 13.1177i | −2.99046 | − | 0.801292i | ||||
\(269\) | 9.75238 | − | 16.8916i | 0.594613 | − | 1.02990i | −0.398988 | − | 0.916956i | \(-0.630638\pi\) |
0.993601 | − | 0.112944i | \(-0.0360282\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.1887 | + | 17.6473i | 0.618919 | + | 1.07200i | 0.989683 | + | 0.143273i | \(0.0457626\pi\) |
−0.370764 | + | 0.928727i | \(0.620904\pi\) | |||||||
\(272\) | −8.02919 | + | 8.02919i | −0.486841 | + | 0.486841i | ||||
\(273\) | −0.277674 | − | 8.31743i | −0.0168056 | − | 0.503394i | ||||
\(274\) | 29.1720i | 1.76235i | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 11.5623 | − | 13.0249i | 0.695968 | − | 0.784006i | ||||
\(277\) | −11.0945 | + | 2.97277i | −0.666605 | + | 0.178616i | −0.576225 | − | 0.817291i | \(-0.695475\pi\) |
−0.0903802 | + | 0.995907i | \(0.528808\pi\) | |||||||
\(278\) | −5.07226 | + | 18.9299i | −0.304214 | + | 1.13534i | ||||
\(279\) | 0.765508 | − | 1.78680i | 0.0458298 | − | 0.106973i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.16755i | 0.0696500i | 0.999393 | + | 0.0348250i | \(0.0110874\pi\) | ||||
−0.999393 | + | 0.0348250i | \(0.988913\pi\) | |||||||
\(282\) | −10.9732 | − | 5.49397i | −0.653447 | − | 0.327161i | ||||
\(283\) | 6.31899 | + | 23.5828i | 0.375625 | + | 1.40185i | 0.852430 | + | 0.522841i | \(0.175128\pi\) |
−0.476805 | + | 0.879009i | \(0.658205\pi\) | |||||||
\(284\) | −6.05875 | + | 10.4941i | −0.359521 | + | 0.622708i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.7587 | −0.931834 | ||||||||
\(287\) | −18.4105 | − | 19.3953i | −1.08674 | − | 1.14487i | ||||
\(288\) | −0.523434 | − | 1.30811i | −0.0308436 | − | 0.0770811i | ||||
\(289\) | 6.61006 | − | 3.81632i | 0.388827 | − | 0.224489i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −18.9482 | − | 16.8205i | −1.11077 | − | 0.986035i | ||||
\(292\) | −3.35741 | + | 12.5300i | −0.196478 | + | 0.733264i | ||||
\(293\) | −17.1201 | − | 17.1201i | −1.00016 | − | 1.00016i | −1.00000 | 0.000164506i | \(-0.999948\pi\) | |
−0.000164506 | − | 1.00000i | \(-0.500052\pi\) | |||||||
\(294\) | −7.44569 | + | 28.6252i | −0.434241 | + | 1.66945i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 21.3595 | − | 12.3319i | 1.24150 | − | 0.716779i | ||||
\(297\) | −17.3919 | − | 6.25706i | −1.00918 | − | 0.363071i | ||||
\(298\) | −11.2271 | − | 41.9000i | −0.650367 | − | 2.42720i | ||||
\(299\) | −2.31075 | − | 4.00234i | −0.133634 | − | 0.231462i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0326641 | − | 1.25391i | 0.00188273 | − | 0.0722744i | ||||
\(302\) | −34.3391 | + | 34.3391i | −1.97599 | + | 1.97599i | ||||
\(303\) | −0.282769 | − | 0.141574i | −0.0162447 | − | 0.00813320i | ||||
\(304\) | 1.23068 | + | 0.710535i | 0.0705845 | + | 0.0407520i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2.65550 | + | 22.2414i | 0.151805 | + | 1.27145i | ||||
\(307\) | 9.35548 | + | 9.35548i | 0.533946 | + | 0.533946i | 0.921744 | − | 0.387799i | \(-0.126764\pi\) |
−0.387799 | + | 0.921744i | \(0.626764\pi\) | |||||||
\(308\) | 35.6563 | + | 10.5566i | 2.03171 | + | 0.601518i | ||||
\(309\) | 8.24432 | + | 1.69167i | 0.469003 | + | 0.0962359i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.36072 | − | 1.36296i | −0.133864 | − | 0.0772864i | 0.431572 | − | 0.902078i | \(-0.357959\pi\) |
−0.565436 | + | 0.824792i | \(0.691292\pi\) | |||||||
\(312\) | 14.9465 | − | 0.889107i | 0.846178 | − | 0.0503357i | ||||
\(313\) | 25.0318 | + | 6.70726i | 1.41488 | + | 0.379117i | 0.883666 | − | 0.468118i | \(-0.155068\pi\) |
0.531218 | + | 0.847235i | \(0.321735\pi\) | |||||||
\(314\) | 25.2171 | 1.42308 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.6577 | −0.824560 | ||||||||
\(317\) | 4.55428 | + | 1.22032i | 0.255794 | + | 0.0685398i | 0.384437 | − | 0.923151i | \(-0.374396\pi\) |
−0.128643 | + | 0.991691i | \(0.541062\pi\) | |||||||
\(318\) | 13.2854 | − | 0.790297i | 0.745010 | − | 0.0443177i | ||||
\(319\) | −16.9966 | − | 9.81297i | −0.951625 | − | 0.549421i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 18.2822 | + | 3.75137i | 1.02041 | + | 0.209381i | ||||
\(322\) | 3.83661 | + | 15.9711i | 0.213806 | + | 0.890033i | ||||
\(323\) | 0.828954 | + | 0.828954i | 0.0461243 | + | 0.0461243i | ||||
\(324\) | 34.1176 | + | 10.0303i | 1.89542 | + | 0.557238i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 42.2578 | + | 24.3975i | 2.34044 | + | 1.35125i | ||||
\(327\) | −15.8136 | − | 7.91737i | −0.874492 | − | 0.437831i | ||||
\(328\) | 34.0213 | − | 34.0213i | 1.87851 | − | 1.87851i | ||||
\(329\) | 6.75237 | − | 3.66743i | 0.372270 | − | 0.202192i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.05610 | − | 8.75743i | −0.277909 | − | 0.481352i | 0.692956 | − | 0.720980i | \(-0.256308\pi\) |
−0.970865 | + | 0.239628i | \(0.922975\pi\) | |||||||
\(332\) | −1.40863 | − | 5.25709i | −0.0773088 | − | 0.288520i | ||||
\(333\) | 2.21470 | − | 15.3852i | 0.121365 | − | 0.843106i | ||||
\(334\) | 18.1919 | − | 10.5031i | 0.995419 | − | 0.574705i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −16.5599 | − | 3.84993i | −0.903416 | − | 0.210031i | ||||
\(337\) | −8.78763 | − | 8.78763i | −0.478692 | − | 0.478692i | 0.426021 | − | 0.904713i | \(-0.359915\pi\) |
−0.904713 | + | 0.426021i | \(0.859915\pi\) | |||||||
\(338\) | −6.12584 | + | 22.8619i | −0.333202 | + | 1.24353i | ||||
\(339\) | 14.6210 | + | 12.9792i | 0.794103 | + | 0.704931i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.99606 | − | 1.15243i | 0.108093 | − | 0.0624074i | ||||
\(342\) | 2.60263 | − | 1.04143i | 0.140734 | − | 0.0563141i | ||||
\(343\) | −12.0337 | − | 14.0780i | −0.649758 | − | 0.760141i | ||||
\(344\) | 2.25679 | 0.121678 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.05062 | − | 3.55177i | 0.110242 | − | 0.190945i | ||||
\(347\) | 2.85959 | + | 10.6721i | 0.153511 | + | 0.572911i | 0.999228 | + | 0.0392795i | \(0.0125063\pi\) |
−0.845717 | + | 0.533631i | \(0.820827\pi\) | |||||||
\(348\) | 33.7647 | + | 16.9049i | 1.80998 | + | 0.906199i | ||||
\(349\) | 6.84738i | 0.366532i | 0.983063 | + | 0.183266i | \(0.0586670\pi\) | ||||
−0.983063 | + | 0.183266i | \(0.941333\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.38370 | − | 7.74984i | 0.287361 | − | 0.413656i | ||||
\(352\) | 0.432380 | − | 1.61366i | 0.0230459 | − | 0.0860085i | ||||
\(353\) | 21.5279 | − | 5.76838i | 1.14581 | − | 0.307020i | 0.364528 | − | 0.931192i | \(-0.381230\pi\) |
0.781287 | + | 0.624172i | \(0.214564\pi\) | |||||||
\(354\) | 21.4083 | − | 24.1164i | 1.13784 | − | 1.28177i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 12.0093i | − | 0.636491i | ||||||
\(357\) | −12.3737 | − | 6.60357i | −0.654884 | − | 0.349498i | ||||
\(358\) | −36.4865 | + | 36.4865i | −1.92837 | + | 1.92837i | ||||
\(359\) | 13.3858 | + | 23.1849i | 0.706476 | + | 1.22365i | 0.966156 | + | 0.257958i | \(0.0830495\pi\) |
−0.259680 | + | 0.965695i | \(0.583617\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.42664 | + | 16.3274i | −0.496139 | + | 0.859338i | ||||
\(362\) | 52.8381 | + | 14.1579i | 2.77711 | + | 0.744124i | ||||
\(363\) | −1.57616 | − | 2.38999i | −0.0827272 | − | 0.125442i | ||||
\(364\) | −9.91737 | + | 16.1886i | −0.519811 | + | 0.848514i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 14.5671 | + | 43.7793i | 0.761432 | + | 2.28838i | ||||
\(367\) | 16.2394 | − | 4.35135i | 0.847692 | − | 0.227138i | 0.191275 | − | 0.981536i | \(-0.438738\pi\) |
0.656417 | + | 0.754398i | \(0.272071\pi\) | |||||||
\(368\) | −9.11979 | + | 2.44364i | −0.475402 | + | 0.127384i | ||||
\(369\) | −3.59479 | − | 30.1085i | −0.187137 | − | 1.56739i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.35326 | + | 7.10604i | −0.226010 | + | 0.368927i | ||||
\(372\) | −3.70196 | + | 2.44139i | −0.191938 | + | 0.126580i | ||||
\(373\) | 10.1335 | + | 2.71527i | 0.524694 | + | 0.140591i | 0.511437 | − | 0.859321i | \(-0.329113\pi\) |
0.0132570 | + | 0.999912i | \(0.495780\pi\) | |||||||
\(374\) | −13.2794 | + | 23.0006i | −0.686662 | + | 1.18933i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.91249 | + | 11.9728i | 0.356485 | + | 0.617450i | ||||
\(377\) | 7.08503 | − | 7.08503i | 0.364898 | − | 0.364898i | ||||
\(378\) | −26.1664 | + | 20.9788i | −1.34586 | + | 1.07903i | ||||
\(379\) | − | 22.0750i | − | 1.13391i | −0.823747 | − | 0.566957i | \(-0.808120\pi\) | ||
0.823747 | − | 0.566957i | \(-0.191880\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.11678 | + | 4.54221i | 0.262141 | + | 0.232704i | ||||
\(382\) | 44.5396 | − | 11.9344i | 2.27885 | − | 0.610615i | ||||
\(383\) | −5.20486 | + | 19.4248i | −0.265956 | + | 0.992561i | 0.695707 | + | 0.718326i | \(0.255091\pi\) |
−0.961663 | + | 0.274235i | \(0.911575\pi\) | |||||||
\(384\) | −6.94809 | + | 33.8613i | −0.354568 | + | 1.72798i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 37.5610i | − | 1.91181i | ||||||
\(387\) | 0.879387 | − | 1.11785i | 0.0447018 | − | 0.0568233i | ||||
\(388\) | 14.9599 | + | 55.8311i | 0.759474 | + | 2.83440i | ||||
\(389\) | −0.689060 | + | 1.19349i | −0.0349368 | + | 0.0605122i | −0.882965 | − | 0.469439i | \(-0.844456\pi\) |
0.848028 | + | 0.529951i | \(0.177790\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.78881 | −0.393897 | ||||||||
\(392\) | 24.7565 | − | 22.3031i | 1.25039 | − | 1.12647i | ||||
\(393\) | 12.7643 | − | 8.41785i | 0.643872 | − | 0.424624i | ||||
\(394\) | −1.73943 | + | 1.00426i | −0.0876310 | + | 0.0505938i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 25.2630 | + | 33.7592i | 1.26951 | + | 1.69646i | ||||
\(397\) | −5.76560 | + | 21.5175i | −0.289367 | + | 1.07993i | 0.656222 | + | 0.754568i | \(0.272154\pi\) |
−0.945589 | + | 0.325365i | \(0.894513\pi\) | |||||||
\(398\) | −7.97504 | − | 7.97504i | −0.399753 | − | 0.399753i | ||||
\(399\) | −0.397476 | + | 1.70969i | −0.0198987 | + | 0.0855913i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.51392 | + | 4.33816i | −0.375227 | + | 0.216638i | −0.675740 | − | 0.737140i | \(-0.736176\pi\) |
0.300512 | + | 0.953778i | \(0.402842\pi\) | |||||||
\(402\) | 54.1032 | − | 3.21838i | 2.69842 | − | 0.160518i | ||||
\(403\) | 0.304555 | + | 1.13661i | 0.0151710 | + | 0.0566188i | ||||
\(404\) | 0.360703 | + | 0.624756i | 0.0179457 | + | 0.0310828i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −31.2936 | + | 16.9966i | −1.55308 | + | 0.843526i | ||||
\(407\) | 13.0322 | − | 13.0322i | 0.645981 | − | 0.645981i | ||||
\(408\) | 11.2973 | − | 22.5643i | 0.559297 | − | 1.11710i | ||||
\(409\) | 6.78090 | + | 3.91495i | 0.335294 | + | 0.193582i | 0.658189 | − | 0.752853i | \(-0.271323\pi\) |
−0.322895 | + | 0.946435i | \(0.604656\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.53920 | − | 19.6526i | −0.322555 | − | 0.969393i | ||||
\(412\) | −13.5760 | − | 13.5760i | −0.668842 | − | 0.668842i | ||||
\(413\) | 4.71643 | + | 19.6336i | 0.232080 | + | 0.966105i | ||||
\(414\) | −7.33448 | + | 17.1197i | −0.360470 | + | 0.841387i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.738628 | + | 0.426447i | 0.0362142 | + | 0.0209083i | ||||
\(417\) | −0.826245 | − | 13.8897i | −0.0404614 | − | 0.680184i | ||||
\(418\) | 3.21056 | + | 0.860268i | 0.157034 | + | 0.0420771i | ||||
\(419\) | −17.2587 | −0.843141 | −0.421571 | − | 0.906796i | \(-0.638521\pi\) | ||||
−0.421571 | + | 0.906796i | \(0.638521\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.2371 | −1.47366 | −0.736832 | − | 0.676076i | \(-0.763679\pi\) | ||||
−0.736832 | + | 0.676076i | \(0.763679\pi\) | |||||||
\(422\) | 53.7594 | + | 14.4048i | 2.61697 | + | 0.701214i | ||||
\(423\) | 8.62399 | + | 1.24142i | 0.419313 | + | 0.0603599i | ||||
\(424\) | −12.9847 | − | 7.49671i | −0.630592 | − | 0.364073i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.60464 | − | 12.6936i | 0.126195 | − | 0.615009i | ||||
\(427\) | −27.7018 | − | 8.20154i | −1.34058 | − | 0.396900i | ||||
\(428\) | −30.1055 | − | 30.1055i | −1.45520 | − | 1.45520i | ||||
\(429\) | 10.6164 | − | 3.53248i | 0.512563 | − | 0.170550i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.6840 | − | 10.2099i | −0.851811 | − | 0.491793i | 0.00945079 | − | 0.999955i | \(-0.496992\pi\) |
−0.861261 | + | 0.508162i | \(0.830325\pi\) | |||||||
\(432\) | −12.4464 | − | 14.7216i | −0.598827 | − | 0.708294i | ||||
\(433\) | −14.4338 | + | 14.4338i | −0.693646 | + | 0.693646i | −0.963032 | − | 0.269386i | \(-0.913179\pi\) |
0.269386 | + | 0.963032i | \(0.413179\pi\) | |||||||
\(434\) | 0.108908 | − | 4.18076i | 0.00522773 | − | 0.200683i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.1720 | + | 34.9389i | 0.966062 | + | 1.67327i | ||||
\(437\) | 0.252288 | + | 0.941550i | 0.0120685 | + | 0.0450404i | ||||
\(438\) | −0.823729 | − | 13.8474i | −0.0393593 | − | 0.661656i | ||||
\(439\) | 12.5945 | − | 7.27146i | 0.601105 | − | 0.347048i | −0.168371 | − | 0.985724i | \(-0.553851\pi\) |
0.769476 | + | 0.638676i | \(0.220517\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.40059 | − | 20.9532i | −0.0666948 | − | 0.997773i | ||||
\(442\) | −9.58782 | − | 9.58782i | −0.456046 | − | 0.456046i | ||||
\(443\) | −2.65557 | + | 9.91074i | −0.126170 | + | 0.470873i | −0.999879 | − | 0.0155764i | \(-0.995042\pi\) |
0.873709 | + | 0.486450i | \(0.161708\pi\) | |||||||
\(444\) | −23.5406 | + | 26.5185i | −1.11719 | + | 1.25851i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 28.4176 | − | 16.4069i | 1.34561 | − | 0.776890i | ||||
\(447\) | 16.9558 | + | 25.7106i | 0.801981 | + | 1.21607i | ||||
\(448\) | −15.6024 | − | 16.4370i | −0.737144 | − | 0.776576i | ||||
\(449\) | −6.70137 | −0.316257 | −0.158129 | − | 0.987419i | \(-0.550546\pi\) | ||||
−0.158129 | + | 0.987419i | \(0.550546\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 17.9766 | − | 31.1363i | 0.846484 | − | 1.46615i | ||||
\(452\) | −11.5435 | − | 43.0808i | −0.542959 | − | 2.02635i | ||||
\(453\) | 15.4361 | − | 30.8310i | 0.725253 | − | 1.44857i | ||||
\(454\) | − | 5.39029i | − | 0.252979i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.09361 | − | 0.634787i | −0.144872 | − | 0.0297266i | ||||
\(457\) | 8.00943 | − | 29.8916i | 0.374665 | − | 1.39827i | −0.479168 | − | 0.877723i | \(-0.659061\pi\) |
0.853833 | − | 0.520547i | \(-0.174272\pi\) | |||||||
\(458\) | −60.0971 | + | 16.1030i | −2.80815 | + | 0.752442i | ||||
\(459\) | −6.77458 | − | 14.3883i | −0.316210 | − | 0.671589i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 35.1427i | − | 1.63676i | −0.574680 | − | 0.818378i | \(-0.694873\pi\) | ||
0.574680 | − | 0.818378i | \(-0.305127\pi\) | |||||||
\(462\) | −39.7437 | + | 1.32683i | −1.84904 | + | 0.0617295i | ||||
\(463\) | 3.51567 | − | 3.51567i | 0.163387 | − | 0.163387i | −0.620678 | − | 0.784065i | \(-0.713143\pi\) |
0.784065 | + | 0.620678i | \(0.213143\pi\) | |||||||
\(464\) | −10.2349 | − | 17.7274i | −0.475143 | − | 0.822973i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.4800 | − | 54.5250i | 1.45828 | − | 2.52582i | ||||
\(467\) | −29.9748 | − | 8.03172i | −1.38707 | − | 0.371664i | −0.513385 | − | 0.858159i | \(-0.671609\pi\) |
−0.873683 | + | 0.486495i | \(0.838275\pi\) | |||||||
\(468\) | −19.9862 | + | 7.99736i | −0.923860 | + | 0.369678i | ||||
\(469\) | −17.7281 | + | 28.9385i | −0.818607 | + | 1.33625i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.9882 | + | 5.65265i | −0.782777 | + | 0.260460i | ||||
\(472\) | −35.0914 | + | 9.40271i | −1.61521 | + | 0.432795i | ||||
\(473\) | 1.62894 | − | 0.436473i | 0.0748988 | − | 0.0200691i | ||||
\(474\) | 14.8728 | − | 4.94876i | 0.683130 | − | 0.227304i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 15.2710 | + | 28.1165i | 0.699944 | + | 1.28872i | ||||
\(477\) | −8.77299 | + | 3.51047i | −0.401687 | + | 0.160733i | ||||
\(478\) | 12.6113 | + | 3.37919i | 0.576827 | + | 0.154560i | ||||
\(479\) | 7.30399 | − | 12.6509i | 0.333728 | − | 0.578034i | −0.649512 | − | 0.760352i | \(-0.725027\pi\) |
0.983240 | + | 0.182318i | \(0.0583600\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.70466 | + | 8.14871i | 0.214514 | + | 0.371549i | ||||
\(482\) | −13.8815 | + | 13.8815i | −0.632285 | + | 0.632285i | ||||
\(483\) | −6.16472 | − | 9.89939i | −0.280505 | − | 0.450438i | ||||
\(484\) | 6.53111i | 0.296869i | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −38.0048 | + | 1.34139i | −1.72393 | + | 0.0608466i | ||||
\(487\) | 1.59898 | − | 0.428446i | 0.0724568 | − | 0.0194148i | −0.222409 | − | 0.974954i | \(-0.571392\pi\) |
0.294865 | + | 0.955539i | \(0.404725\pi\) | |||||||
\(488\) | 13.4532 | − | 50.2079i | 0.608996 | − | 2.27280i | ||||
\(489\) | −33.9372 | − | 6.96366i | −1.53469 | − | 0.314908i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 32.6849i | 1.47505i | 0.675321 | + | 0.737524i | \(0.264005\pi\) | ||||
−0.675321 | + | 0.737524i | \(0.735995\pi\) | |||||||
\(492\) | −30.9684 | + | 61.8541i | −1.39617 | + | 2.78860i | ||||
\(493\) | −4.37059 | − | 16.3113i | −0.196842 | − | 0.734623i | ||||
\(494\) | −0.848464 | + | 1.46958i | −0.0381742 | + | 0.0661196i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.40395 | 0.107941 | ||||||||
\(497\) | 5.58598 | + | 5.88479i | 0.250565 | + | 0.263969i | ||||
\(498\) | 3.20421 | + | 4.85865i | 0.143584 | + | 0.217721i | ||||
\(499\) | 17.4676 | − | 10.0849i | 0.781956 | − | 0.451463i | −0.0551669 | − | 0.998477i | \(-0.517569\pi\) |
0.837123 | + | 0.547014i | \(0.184236\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.90118 | + | 11.1537i | −0.442352 | + | 0.498308i | ||||
\(502\) | −2.68650 | + | 10.0262i | −0.119904 | + | 0.447489i | ||||
\(503\) | 9.55454 | + | 9.55454i | 0.426016 | + | 0.426016i | 0.887269 | − | 0.461253i | \(-0.152600\pi\) |
−0.461253 | + | 0.887269i | \(0.652600\pi\) | |||||||
\(504\) | 37.6203 | − | 3.50077i | 1.67574 | − | 0.155937i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −19.1247 | + | 11.0416i | −0.850194 | + | 0.490860i | ||||
\(507\) | −0.997867 | − | 16.7748i | −0.0443168 | − | 0.744996i | ||||
\(508\) | −4.03977 | − | 15.0766i | −0.179236 | − | 0.668917i | ||||
\(509\) | 2.00475 | + | 3.47233i | 0.0888591 | + | 0.153908i | 0.907029 | − | 0.421068i | \(-0.138345\pi\) |
−0.818170 | + | 0.574976i | \(0.805011\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.40665 | + | 4.53741i | 0.327651 | + | 0.200723i | ||||
\(512\) | 26.2078 | − | 26.2078i | 1.15823 | − | 1.15823i | ||||
\(513\) | −1.51990 | + | 1.28500i | −0.0671050 | + | 0.0567340i | ||||
\(514\) | 7.65238 | + | 4.41811i | 0.337532 | + | 0.194874i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.07867 | + | 1.02439i | −0.135531 | + | 0.0450964i | ||||
\(517\) | 7.30501 | + | 7.30501i | 0.321274 | + | 0.321274i | ||||
\(518\) | −7.81128 | − | 32.5168i | −0.343208 | − | 1.42871i | ||||
\(519\) | −0.585297 | + | 2.85243i | −0.0256917 | + | 0.125208i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.115369 | + | 0.0666082i | 0.00505440 | + | 0.00291816i | 0.502525 | − | 0.864563i | \(-0.332404\pi\) |
−0.497471 | + | 0.867481i | \(0.665738\pi\) | |||||||
\(522\) | −39.9676 | − | 5.75332i | −1.74933 | − | 0.251816i | ||||
\(523\) | −27.3590 | − | 7.33082i | −1.19633 | − | 0.320554i | −0.394942 | − | 0.918706i | \(-0.629235\pi\) |
−0.801383 | + | 0.598151i | \(0.795902\pi\) | |||||||
\(524\) | −34.8808 | −1.52377 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.8041 | 0.819897 | ||||||||
\(527\) | 1.91558 | + | 0.513278i | 0.0834440 | + | 0.0223587i | ||||
\(528\) | −1.35732 | − | 22.8175i | −0.0590697 | − | 0.993002i | ||||
\(529\) | 14.3100 | + | 8.26186i | 0.622173 | + | 0.359211i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.01643 | + | 21.0456i | −0.391280 | + | 0.913302i | ||||
\(532\) | 2.90422 | − | 2.75675i | 0.125914 | − | 0.119520i | ||||
\(533\) | 12.9792 | + | 12.9792i | 0.562192 | + | 0.562192i | ||||
\(534\) | 4.05459 | + | 12.1855i | 0.175459 | + | 0.527319i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −52.8785 | − | 30.5294i | −2.28400 | − | 1.31867i | ||||
\(537\) | 16.4014 | − | 32.7591i | 0.707775 | − | 1.41366i | ||||
\(538\) | 33.6458 | − | 33.6458i | 1.45057 | − | 1.45057i | ||||
\(539\) | 13.5556 | − | 20.8863i | 0.583883 | − | 0.899636i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.52532 | − | 13.0342i | −0.323539 | − | 0.560386i | 0.657677 | − | 0.753300i | \(-0.271539\pi\) |
−0.981216 | + | 0.192915i | \(0.938206\pi\) | |||||||
\(542\) | 12.8662 | + | 48.0173i | 0.552650 | + | 2.06252i | ||||
\(543\) | −38.7697 | + | 2.30625i | −1.66377 | + | 0.0989708i | ||||
\(544\) | 1.24484 | − | 0.718708i | 0.0533720 | − | 0.0308143i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 4.59727 | − | 19.7745i | 0.196745 | − | 0.846270i | ||||
\(547\) | 12.4068 | + | 12.4068i | 0.530476 | + | 0.530476i | 0.920714 | − | 0.390238i | \(-0.127607\pi\) |
−0.390238 | + | 0.920714i | \(0.627607\pi\) | |||||||
\(548\) | −12.2291 | + | 45.6397i | −0.522402 | + | 1.94963i | ||||
\(549\) | −19.6271 | − | 26.2279i | −0.837664 | − | 1.11938i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.83022 | + | 1.05668i | −0.0779699 | + | 0.0450160i | ||||
\(552\) | 17.5159 | − | 11.5515i | 0.745527 | − | 0.491665i | ||||
\(553\) | −2.78625 | + | 9.41091i | −0.118483 | + | 0.400193i | ||||
\(554\) | −28.0201 | −1.19046 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.8711 | + | 27.4896i | −0.673086 | + | 1.16582i | ||||
\(557\) | 5.06579 | + | 18.9058i | 0.214645 | + | 0.801065i | 0.986291 | + | 0.165013i | \(0.0527667\pi\) |
−0.771647 | + | 0.636051i | \(0.780567\pi\) | |||||||
\(558\) | 2.93202 | − | 3.72708i | 0.124122 | − | 0.157780i | ||||
\(559\) | 0.860969i | 0.0364151i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.79027 | − | 18.4718i | 0.160025 | − | 0.779880i | ||||
\(562\) | −0.737184 | + | 2.75121i | −0.0310962 | + | 0.116053i | ||||
\(563\) | 27.3385 | − | 7.32534i | 1.15218 | − | 0.308726i | 0.368343 | − | 0.929690i | \(-0.379925\pi\) |
0.783839 | + | 0.620964i | \(0.213259\pi\) | |||||||
\(564\) | −14.8646 | − | 13.1954i | −0.625911 | − | 0.555626i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 59.5602i | 2.50350i | ||||||||
\(567\) | 12.9252 | − | 19.9985i | 0.542809 | − | 0.839856i | ||||
\(568\) | −10.3225 | + | 10.3225i | −0.433122 | + | 0.433122i | ||||
\(569\) | −3.02998 | − | 5.24808i | −0.127023 | − | 0.220011i | 0.795499 | − | 0.605955i | \(-0.207209\pi\) |
−0.922522 | + | 0.385944i | \(0.873876\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.6877 | − | 18.5116i | 0.447266 | − | 0.774687i | −0.550941 | − | 0.834544i | \(-0.685731\pi\) |
0.998207 | + | 0.0598570i | \(0.0190645\pi\) | |||||||
\(572\) | −24.6546 | − | 6.60618i | −1.03086 | − | 0.276218i | ||||
\(573\) | −27.3303 | + | 18.0239i | −1.14174 | + | 0.752961i | ||||
\(574\) | −31.1363 | − | 57.3274i | −1.29961 | − | 2.39280i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.04649 | − | 25.5162i | −0.126937 | − | 1.06317i | ||||
\(577\) | −38.1345 | + | 10.2181i | −1.58756 | + | 0.425386i | −0.941256 | − | 0.337694i | \(-0.890353\pi\) |
−0.646305 | + | 0.763079i | \(0.723687\pi\) | |||||||
\(578\) | 17.9855 | − | 4.81921i | 0.748100 | − | 0.200453i | ||||
\(579\) | 8.41967 | + | 25.3041i | 0.349909 | + | 1.05160i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.64306 | − | 0.0949006i | −0.151139 | − | 0.00393714i | ||||
\(582\) | −34.0292 | − | 51.5996i | −1.41056 | − | 2.13887i | ||||
\(583\) | −10.8222 | − | 2.89980i | −0.448210 | − | 0.120098i | ||||
\(584\) | −7.81384 | + | 13.5340i | −0.323339 | + | 0.560040i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −29.5322 | − | 51.1512i | −1.21996 | − | 2.11304i | ||||
\(587\) | −28.9592 | + | 28.9592i | −1.19527 | + | 1.19527i | −0.219708 | + | 0.975566i | \(0.570511\pi\) |
−0.975566 | + | 0.219708i | \(0.929489\pi\) | |||||||
\(588\) | −23.6487 | + | 41.6628i | −0.975255 | + | 1.71815i | ||||
\(589\) | − | 0.248190i | − | 0.0102265i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.946704 | − | 1.06646i | 0.0389422 | − | 0.0438682i | ||||
\(592\) | 18.5677 | − | 4.97521i | 0.763129 | − | 0.204480i | ||||
\(593\) | 8.08560 | − | 30.1759i | 0.332036 | − | 1.23917i | −0.575011 | − | 0.818146i | \(-0.695002\pi\) |
0.907047 | − | 0.421029i | \(-0.138331\pi\) | |||||||
\(594\) | −37.0316 | − | 25.7253i | −1.51942 | − | 1.05552i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 70.2592i | − | 2.87793i | ||||||
\(597\) | 7.16032 | + | 3.58495i | 0.293052 | + | 0.146722i | ||||
\(598\) | −2.91800 | − | 10.8901i | −0.119326 | − | 0.445330i | ||||
\(599\) | −8.18471 | + | 14.1763i | −0.334418 | + | 0.579229i | −0.983373 | − | 0.181598i | \(-0.941873\pi\) |
0.648955 | + | 0.760827i | \(0.275206\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.0942728 | −0.00384547 | −0.00192273 | − | 0.999998i | \(-0.500612\pi\) | ||||
−0.00192273 | + | 0.999998i | \(0.500612\pi\) | |||||||
\(602\) | 0.868685 | − | 2.93410i | 0.0354050 | − | 0.119585i | ||||
\(603\) | −35.7269 | + | 14.2959i | −1.45491 | + | 0.582175i | ||||
\(604\) | −68.1188 | + | 39.3284i | −2.77171 | + | 1.60025i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.576928 | − | 0.512143i | −0.0234361 | − | 0.0208044i | ||||
\(607\) | 0.226095 | − | 0.843796i | 0.00917689 | − | 0.0342486i | −0.961186 | − | 0.275903i | \(-0.911023\pi\) |
0.970362 | + | 0.241654i | \(0.0776899\pi\) | |||||||
\(608\) | −0.127203 | − | 0.127203i | −0.00515874 | − | 0.00515874i | ||||
\(609\) | 17.2720 | − | 18.4650i | 0.699896 | − | 0.748241i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.56765 | + | 2.63713i | −0.184787 | + | 0.106687i | ||||
\(612\) | −5.16921 | + | 35.9099i | −0.208953 | + | 1.45157i | ||||
\(613\) | −0.280310 | − | 1.04613i | −0.0113216 | − | 0.0422528i | 0.960034 | − | 0.279884i | \(-0.0902958\pi\) |
−0.971356 | + | 0.237631i | \(0.923629\pi\) | |||||||
\(614\) | 16.1382 | + | 27.9523i | 0.651287 | + | 1.12806i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 38.2006 | + | 23.4022i | 1.53915 | + | 0.942902i | ||||
\(617\) | 19.6770 | − | 19.6770i | 0.792168 | − | 0.792168i | −0.189679 | − | 0.981846i | \(-0.560745\pi\) |
0.981846 | + | 0.189679i | \(0.0607446\pi\) | |||||||
\(618\) | 18.3588 | + | 9.19168i | 0.738499 | + | 0.369744i | ||||
\(619\) | 16.1891 | + | 9.34677i | 0.650694 | + | 0.375679i | 0.788722 | − | 0.614750i | \(-0.210743\pi\) |
−0.138028 | + | 0.990428i | \(0.544076\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.10355 | − | 13.1773i | 0.0442840 | − | 0.528787i | ||||
\(622\) | −4.70222 | − | 4.70222i | −0.188542 | − | 0.188542i | ||||
\(623\) | −7.71051 | − | 2.28282i | −0.308915 | − | 0.0914591i | ||||
\(624\) | 11.4315 | + | 2.34567i | 0.457628 | + | 0.0939018i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 54.7501 | + | 31.6100i | 2.18825 | + | 1.26339i | ||||
\(627\) | −2.35573 | + | 0.140133i | −0.0940789 | + | 0.00559638i | ||||
\(628\) | 39.4521 | + | 10.5712i | 1.57431 | + | 0.421836i | ||||
\(629\) | 15.8579 | 0.632296 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.63531 | −0.303957 | −0.151978 | − | 0.988384i | \(-0.548564\pi\) | ||||
−0.151978 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(632\) | −17.0567 | − | 4.57034i | −0.678481 | − | 0.181798i | ||||
\(633\) | −39.4457 | + | 2.34647i | −1.56782 | + | 0.0932636i | ||||
\(634\) | 9.96121 | + | 5.75111i | 0.395610 | + | 0.228406i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 21.1164 | + | 4.33292i | 0.837319 | + | 0.171812i | ||||
\(637\) | 8.50866 | + | 9.44466i | 0.337126 | + | 0.374211i | ||||
\(638\) | −33.8548 | − | 33.8548i | −1.34033 | − | 1.34033i | ||||
\(639\) | 1.09071 | + | 9.13531i | 0.0431477 | + | 0.361387i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.0817 | + | 13.3263i | 0.911674 | + | 0.526355i | 0.880969 | − | 0.473173i | \(-0.156892\pi\) |
0.0307047 | + | 0.999528i | \(0.490225\pi\) | |||||||
\(642\) | 40.7115 | + | 20.3830i | 1.60676 | + | 0.804453i | ||||
\(643\) | 21.9767 | − | 21.9767i | 0.866677 | − | 0.866677i | −0.125426 | − | 0.992103i | \(-0.540030\pi\) |
0.992103 | + | 0.125426i | \(0.0400298\pi\) | |||||||
\(644\) | −0.692795 | + | 26.5951i | −0.0273000 | + | 1.04799i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.42995 | + | 2.47675i | 0.0562606 | + | 0.0974462i | ||||
\(647\) | −6.11969 | − | 22.8390i | −0.240590 | − | 0.897893i | −0.975549 | − | 0.219782i | \(-0.929465\pi\) |
0.734959 | − | 0.678111i | \(-0.237201\pi\) | |||||||
\(648\) | 36.5742 | + | 22.3100i | 1.43677 | + | 0.876419i | ||||
\(649\) | −23.5103 | + | 13.5737i | −0.922861 | + | 0.532814i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.863788 | + | 2.84091i | 0.0338545 | + | 0.111344i | ||||
\(652\) | 55.8848 | + | 55.8848i | 2.18862 | + | 2.18862i | ||||
\(653\) | −7.04229 | + | 26.2822i | −0.275586 | + | 1.02850i | 0.679861 | + | 0.733341i | \(0.262040\pi\) |
−0.955448 | + | 0.295161i | \(0.904627\pi\) | |||||||
\(654\) | −32.2641 | − | 28.6411i | −1.26163 | − | 1.11996i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 32.4751 | − | 18.7495i | 1.26794 | − | 0.732046i | ||||
\(657\) | 3.65897 | + | 9.14410i | 0.142750 | + | 0.356745i | ||||
\(658\) | 18.2269 | − | 4.37851i | 0.710557 | − | 0.170692i | ||||
\(659\) | 43.7515 | 1.70432 | 0.852158 | − | 0.523285i | \(-0.175294\pi\) | ||||
0.852158 | + | 0.523285i | \(0.175294\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.32752 | + | 7.49549i | −0.168321 | + | 0.291541i | −0.937830 | − | 0.347096i | \(-0.887168\pi\) |
0.769509 | + | 0.638636i | \(0.220501\pi\) | |||||||
\(662\) | −6.38480 | − | 23.8284i | −0.248152 | − | 0.926117i | ||||
\(663\) | 8.60834 | + | 4.30993i | 0.334320 | + | 0.167384i | ||||
\(664\) | − | 6.55674i | − | 0.254451i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.9329 | − | 34.8554i | 0.578638 | − | 1.35062i | ||||
\(667\) | 3.63408 | − | 13.5626i | 0.140712 | − | 0.525145i | ||||
\(668\) | 32.8643 | − | 8.80597i | 1.27156 | − | 0.340713i | ||||
\(669\) | −15.4666 | + | 17.4231i | −0.597975 | + | 0.673617i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 38.8418i | − | 1.49947i | ||||||
\(672\) | 1.89873 | + | 1.01331i | 0.0732451 | + | 0.0390894i | ||||
\(673\) | −6.15620 | + | 6.15620i | −0.237304 | + | 0.237304i | −0.815733 | − | 0.578429i | \(-0.803666\pi\) |
0.578429 | + | 0.815733i | \(0.303666\pi\) | |||||||
\(674\) | −15.1587 | − | 26.2556i | −0.583891 | − | 1.01133i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.1678 | + | 33.1996i | −0.737222 | + | 1.27691i | ||||
\(677\) | −5.23005 | − | 1.40139i | −0.201007 | − | 0.0538597i | 0.156911 | − | 0.987613i | \(-0.449847\pi\) |
−0.357918 | + | 0.933753i | \(0.616513\pi\) | |||||||
\(678\) | 26.2579 | + | 39.8157i | 1.00843 | + | 1.52911i | ||||
\(679\) | 38.6898 | + | 1.00786i | 1.48478 | + | 0.0386781i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.20829 | + | 3.63134i | 0.0463016 | + | 0.139153i | ||||
\(682\) | 5.43115 | − | 1.45527i | 0.207970 | − | 0.0557253i | ||||
\(683\) | −6.89389 | + | 1.84721i | −0.263788 | + | 0.0706817i | −0.388289 | − | 0.921538i | \(-0.626934\pi\) |
0.124501 | + | 0.992219i | \(0.460267\pi\) | |||||||
\(684\) | 4.50840 | − | 0.538278i | 0.172383 | − | 0.0205816i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −19.4674 | − | 40.7714i | −0.743269 | − | 1.55666i | ||||
\(687\) | 36.8766 | − | 24.3196i | 1.40693 | − | 0.927850i | ||||
\(688\) | 1.69898 | + | 0.455240i | 0.0647730 | + | 0.0173559i | ||||
\(689\) | 2.86001 | − | 4.95369i | 0.108958 | − | 0.188721i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.5623 | + | 32.1509i | 0.706144 | + | 1.22308i | 0.966277 | + | 0.257504i | \(0.0829002\pi\) |
−0.260133 | + | 0.965573i | \(0.583766\pi\) | |||||||
\(692\) | 4.69713 | − | 4.69713i | 0.178558 | − | 0.178558i | ||||
\(693\) | 26.4771 | − | 9.80279i | 1.00578 | − | 0.372377i | ||||
\(694\) | 26.9534i | 1.02314i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 34.0199 | + | 30.1998i | 1.28952 | + | 1.14472i | ||||
\(697\) | 29.8809 | − | 8.00657i | 1.13182 | − | 0.303271i | ||||
\(698\) | −4.32340 | + | 16.1352i | −0.163643 | + | 0.610725i | ||||
\(699\) | −8.98517 | + | 43.7890i | −0.339850 | + | 1.65625i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.4224i | 0.884654i | 0.896854 | + | 0.442327i | \(0.145847\pi\) | ||||
−0.896854 | + | 0.442327i | \(0.854153\pi\) | |||||||
\(702\) | 17.5794 | − | 14.8625i | 0.663490 | − | 0.560948i | ||||
\(703\) | −0.513653 | − | 1.91698i | −0.0193728 | − | 0.0723003i | ||||
\(704\) | 15.2347 | − | 26.3872i | 0.574178 | − | 0.994506i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 54.3705 | 2.04626 | ||||||||
\(707\) | 0.469687 | − | 0.112830i | 0.0176644 | − | 0.00424339i | ||||
\(708\) | 43.6031 | − | 28.7556i | 1.63870 | − | 1.08070i | ||||
\(709\) | 9.67685 | − | 5.58693i | 0.363422 | − | 0.209822i | −0.307159 | − | 0.951658i | \(-0.599378\pi\) |
0.670581 | + | 0.741837i | \(0.266045\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.91020 | + | 6.66776i | −0.334159 | + | 0.250061i | ||||
\(712\) | 3.74455 | − | 13.9749i | 0.140333 | − | 0.523730i | ||||
\(713\) | 1.16599 | + | 1.16599i | 0.0436667 | + | 0.0436667i | ||||
\(714\) | −24.9878 | − | 23.3733i | −0.935146 | − | 0.874724i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −72.3786 | + | 41.7878i | −2.70492 | + | 1.56168i | ||||
\(717\) | −9.25347 | + | 0.550452i | −0.345577 | + | 0.0205570i | ||||
\(718\) | 16.9035 | + | 63.0846i | 0.630832 | + | 2.35430i | ||||
\(719\) | −22.9885 | − | 39.8173i | −0.857328 | − | 1.48494i | −0.874468 | − | 0.485083i | \(-0.838789\pi\) |
0.0171399 | − | 0.999853i | \(-0.494544\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.2971 | + | 6.13579i | −0.420724 | + | 0.228509i | ||||
\(722\) | −32.5220 | + | 32.5220i | −1.21034 | + | 1.21034i | ||||
\(723\) | 6.24002 | − | 12.4634i | 0.232069 | − | 0.463518i | ||||
\(724\) | 76.7303 | + | 44.3002i | 2.85166 | + | 1.64641i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −2.20504 | − | 6.62695i | −0.0818369 | − | 0.245949i | ||||
\(727\) | −35.2560 | − | 35.2560i | −1.30757 | − | 1.30757i | −0.923162 | − | 0.384411i | \(-0.874405\pi\) |
−0.384411 | − | 0.923162i | \(-0.625595\pi\) | |||||||
\(728\) | −16.5882 | + | 15.7459i | −0.614801 | + | 0.583584i | ||||
\(729\) | 25.3024 | − | 9.42280i | 0.937125 | − | 0.348993i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.25662 | + | 0.725512i | 0.0464779 | + | 0.0268340i | ||||
\(732\) | 4.43762 | + | 74.5994i | 0.164019 | + | 2.75727i | ||||
\(733\) | −42.1232 | − | 11.2869i | −1.55586 | − | 0.416890i | −0.624507 | − | 0.781019i | \(-0.714700\pi\) |
−0.931349 | + | 0.364129i | \(0.881367\pi\) | |||||||
\(734\) | 41.0140 | 1.51386 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.19519 | 0.0440552 | ||||||||
\(737\) | −44.0721 | − | 11.8091i | −1.62342 | − | 0.434993i | ||||
\(738\) | 10.5396 | − | 73.2174i | 0.387968 | − | 2.69517i | ||||
\(739\) | −13.3113 | − | 7.68531i | −0.489666 | − | 0.282709i | 0.234770 | − | 0.972051i | \(-0.424566\pi\) |
−0.724436 | + | 0.689342i | \(0.757900\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.242173 | − | 1.18022i | 0.00889643 | − | 0.0433565i | ||||
\(742\) | −14.7447 | + | 13.9960i | −0.541296 | + | 0.513811i | ||||
\(743\) | 34.3837 | + | 34.3837i | 1.26141 | + | 1.26141i | 0.950408 | + | 0.311007i | \(0.100666\pi\) |
0.311007 | + | 0.950408i | \(0.399334\pi\) | |||||||
\(744\) | −5.06911 | + | 1.68669i | −0.185842 | + | 0.0618370i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 22.1642 | + | 12.7965i | 0.811490 | + | 0.468514i | ||||
\(747\) | −3.24773 | − | 2.55492i | −0.118828 | − | 0.0934798i | ||||
\(748\) | −30.4177 | + | 30.4177i | −1.11218 | + | 1.11218i | ||||
\(749\) | −25.0518 | + | 13.6064i | −0.915372 | + | 0.497168i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.8814 | − | 18.8472i | −0.397069 | − | 0.687744i | 0.596294 | − | 0.802766i | \(-0.296639\pi\) |
−0.993363 | + | 0.115022i | \(0.963306\pi\) | |||||||
\(752\) | 2.78879 | + | 10.4079i | 0.101697 | + | 0.379537i | ||||
\(753\) | −0.437617 | − | 7.35664i | −0.0159477 | − | 0.268091i | ||||
\(754\) | 21.1686 | − | 12.2217i | 0.770915 | − | 0.445088i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −49.7319 | + | 21.8522i | −1.80873 | + | 0.794756i | ||||
\(757\) | 20.4109 | + | 20.4109i | 0.741847 | + | 0.741847i | 0.972933 | − | 0.231086i | \(-0.0742280\pi\) |
−0.231086 | + | 0.972933i | \(0.574228\pi\) | |||||||
\(758\) | 13.9380 | − | 52.0174i | 0.506252 | − | 1.88936i | ||||
\(759\) | 10.4088 | − | 11.7255i | 0.377816 | − | 0.425609i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.7320 | + | 14.8564i | −0.932785 | + | 0.538544i | −0.887691 | − | 0.460439i | \(-0.847692\pi\) |
−0.0450939 | + | 0.998983i | \(0.514359\pi\) | |||||||
\(762\) | 9.18925 | + | 13.9340i | 0.332891 | + | 0.504774i | ||||
\(763\) | 26.2668 | − | 6.30988i | 0.950922 | − | 0.228433i | ||||
\(764\) | 74.6853 | 2.70202 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.5295 | + | 42.4863i | −0.886286 | + | 1.53509i | ||||
\(767\) | −3.58716 | − | 13.3875i | −0.129525 | − | 0.483393i | ||||
\(768\) | −24.4681 | + | 48.8708i | −0.882916 | + | 1.76347i | ||||
\(769\) | − | 28.4557i | − | 1.02614i | −0.858347 | − | 0.513070i | \(-0.828508\pi\) | ||
0.858347 | − | 0.513070i | \(-0.171492\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.14563 | − | 1.26104i | −0.221329 | − | 0.0454151i | ||||
\(772\) | 15.7458 | − | 58.7643i | 0.566705 | − | 2.11497i | ||||
\(773\) | 16.9710 | − | 4.54737i | 0.610406 | − | 0.163558i | 0.0596432 | − | 0.998220i | \(-0.481004\pi\) |
0.550762 | + | 0.834662i | \(0.314337\pi\) | |||||||
\(774\) | 2.77799 | − | 2.07885i | 0.0998528 | − | 0.0747228i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 69.6336i | 2.49970i | ||||||||
\(777\) | 12.5513 | + | 20.1550i | 0.450275 | + | 0.723056i | ||||
\(778\) | −2.37726 | + | 2.37726i | −0.0852290 | + | 0.0852290i | ||||
\(779\) | −1.93575 | − | 3.35281i | −0.0693553 | − | 0.120127i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.45433 | + | 9.44717i | −0.195171 | + | 0.338046i | ||||
\(782\) | −18.3535 | − | 4.91782i | −0.656322 | − | 0.175861i | ||||
\(783\) | 28.2151 | − | 5.08323i | 1.00832 | − | 0.181660i | ||||
\(784\) | 23.1365 | − | 11.7966i | 0.826302 | − | 0.421305i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 35.3927 | − | 11.7765i | 1.26241 | − | 0.420054i | ||||
\(787\) | 15.5766 | − | 4.17374i | 0.555246 | − | 0.148778i | 0.0297245 | − | 0.999558i | \(-0.490537\pi\) |
0.525521 | + | 0.850780i | \(0.323870\pi\) | |||||||
\(788\) | −3.14233 | + | 0.841984i | −0.111941 | + | 0.0299944i | ||||
\(789\) | −12.6680 | + | 4.21512i | −0.450991 | + | 0.150062i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −29.8541 | − | 0.777692i | −1.06149 | − | 0.0276516i | ||||
\(792\) | 18.8715 | + | 47.1617i | 0.670571 | + | 1.67582i | ||||
\(793\) | 19.1544 | + | 5.13241i | 0.680193 | + | 0.182257i | ||||
\(794\) | −27.1721 | + | 47.0635i | −0.964302 | + | 1.67022i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.13378 | − | 15.8202i | −0.323738 | − | 0.560731i | ||||
\(797\) | 7.99994 | − | 7.99994i | 0.283373 | − | 0.283373i | −0.551080 | − | 0.834452i | \(-0.685784\pi\) |
0.834452 | + | 0.551080i | \(0.185784\pi\) | |||||||
\(798\) | −2.01610 | + | 3.77774i | −0.0713692 | + | 0.133730i | ||||
\(799\) | 8.88893i | 0.314468i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.46301 | − | 7.30027i | −0.193026 | − | 0.257942i | ||||
\(802\) | −20.4449 | + | 5.47819i | −0.721934 | + | 0.193442i | ||||
\(803\) | −3.02247 | + | 11.2800i | −0.106661 | + | 0.398063i | ||||
\(804\) | 85.9938 | + | 17.6453i | 3.03277 | + | 0.622301i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.87061i | 0.101113i | ||||||||
\(807\) | −15.1245 | + | 30.2086i | −0.532408 | + | 1.06339i | ||||
\(808\) | 0.224938 | + | 0.839480i | 0.00791329 | + | 0.0295328i | ||||
\(809\) | −16.4490 | + | 28.4906i | −0.578317 | + | 1.00167i | 0.417355 | + | 0.908743i | \(0.362957\pi\) |
−0.995673 | + | 0.0929313i | \(0.970376\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −26.4235 | −0.927856 | −0.463928 | − | 0.885873i | \(-0.653560\pi\) | ||||
−0.463928 | + | 0.885873i | \(0.653560\pi\) | |||||||
\(812\) | −56.0840 | + | 13.4727i | −1.96816 | + | 0.472798i | ||||
\(813\) | −19.4313 | − | 29.4642i | −0.681484 | − | 1.03336i | ||||
\(814\) | 38.9375 | − | 22.4806i | 1.36476 | − | 0.787943i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 13.0566 | − | 14.7082i | 0.457073 | − | 0.514892i | ||||
\(817\) | 0.0470002 | − | 0.175407i | 0.00164433 | − | 0.00613671i | ||||
\(818\) | 13.5066 | + | 13.5066i | 0.472248 | + | 0.472248i | ||||
\(819\) | 1.33555 | + | 14.3522i | 0.0466680 | + | 0.501507i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 19.3688 | − | 11.1826i | 0.675975 | − | 0.390275i | −0.122362 | − | 0.992486i | \(-0.539047\pi\) |
0.798337 | + | 0.602211i | \(0.205713\pi\) | |||||||
\(822\) | −3.00037 | − | 50.4383i | −0.104650 | − | 1.75924i | ||||
\(823\) | 7.07326 | + | 26.3978i | 0.246558 | + | 0.920168i | 0.972594 | + | 0.232511i | \(0.0746942\pi\) |
−0.726035 | + | 0.687657i | \(0.758639\pi\) | |||||||
\(824\) | −11.5650 | − | 20.0311i | −0.402884 | − | 0.697816i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.28275 | + | 49.2425i | −0.0446327 | + | 1.71336i | ||||
\(827\) | −34.1284 | + | 34.1284i | −1.18676 | + | 1.18676i | −0.208804 | + | 0.977958i | \(0.566957\pi\) |
−0.977958 | + | 0.208804i | \(0.933043\pi\) | |||||||
\(828\) | −18.6515 | + | 23.7091i | −0.648185 | + | 0.823950i | ||||
\(829\) | −11.5297 | − | 6.65666i | −0.400442 | − | 0.231196i | 0.286232 | − | 0.958160i | \(-0.407597\pi\) |
−0.686675 | + | 0.726965i | \(0.740930\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 18.8766 | − | 6.28098i | 0.654823 | − | 0.217885i | ||||
\(832\) | 10.9995 | + | 10.9995i | 0.381340 | + | 0.381340i | ||||
\(833\) | 20.9549 | − | 4.46007i | 0.726045 | − | 0.154532i | ||||
\(834\) | 6.82295 | − | 33.2515i | 0.236260 | − | 1.15140i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 4.66230 | + | 2.69178i | 0.161249 | + | 0.0930972i | ||||
\(837\) | −1.13978 | + | 3.16810i | −0.0393967 | + | 0.109506i | ||||
\(838\) | −40.6683 | − | 10.8970i | −1.40486 | − | 0.376432i | ||||
\(839\) | 25.4141 | 0.877392 | 0.438696 | − | 0.898636i | \(-0.355440\pi\) | ||||
0.438696 | + | 0.898636i | \(0.355440\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.44184 | 0.0497185 | ||||||||
\(842\) | −71.2506 | − | 19.0915i | −2.45546 | − | 0.657938i | ||||
\(843\) | −0.120083 | − | 2.01868i | −0.00413589 | − | 0.0695271i | ||||
\(844\) | 78.0681 | + | 45.0727i | 2.68722 | + | 1.55146i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 19.5377 | + | 8.37043i | 0.671721 | + | 0.287781i | ||||
\(847\) | 4.19327 | + | 1.24148i | 0.144083 | + | 0.0426579i | ||||
\(848\) | −8.26305 | − | 8.26305i | −0.283754 | − | 0.283754i | ||||
\(849\) | −13.3510 | − | 40.1246i | −0.458205 | − | 1.37707i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.4191 | + | 6.59279i | 0.391440 | + | 0.225998i | ||||
\(852\) | 9.39623 | − | 18.7673i | 0.321909 | − | 0.642958i | ||||
\(853\) | −33.5959 | + | 33.5959i | −1.15030 | + | 1.15030i | −0.163811 | + | 0.986492i | \(0.552379\pi\) |
−0.986492 | + | 0.163811i | \(0.947621\pi\) | |||||||
\(854\) | −60.0980 | − | 36.8169i | −2.05651 | − | 1.25985i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.6458 | − | 44.4199i | −0.876557 | − | 1.51824i | ||||
\(857\) | 1.67126 | + | 6.23724i | 0.0570892 | + | 0.213060i | 0.988578 | − | 0.150710i | \(-0.0481560\pi\) |
−0.931489 | + | 0.363770i | \(0.881489\pi\) | |||||||
\(858\) | 27.2468 | − | 1.62080i | 0.930190 | − | 0.0553333i | ||||
\(859\) | −20.2860 | + | 11.7121i | −0.692148 | + | 0.399612i | −0.804416 | − | 0.594066i | \(-0.797522\pi\) |
0.112268 | + | 0.993678i | \(0.464189\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 33.8264 | + | 31.6409i | 1.15280 | + | 1.07832i | ||||
\(862\) | −35.2242 | − | 35.2242i | −1.19974 | − | 1.19974i | ||||
\(863\) | 4.24789 | − | 15.8533i | 0.144600 | − | 0.539654i | −0.855173 | − | 0.518343i | \(-0.826549\pi\) |
0.999773 | − | 0.0213112i | \(-0.00678409\pi\) | |||||||
\(864\) | 1.03955 | + | 2.20788i | 0.0353664 | + | 0.0751136i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −43.1254 | + | 24.8984i | −1.46546 | + | 0.846084i | ||||
\(867\) | −11.0362 | + | 7.27825i | −0.374810 | + | 0.247182i | ||||
\(868\) | 1.92299 | − | 6.49515i | 0.0652705 | − | 0.220460i | ||||
\(869\) | −13.1954 | −0.447624 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.6470 | − | 20.1733i | 0.394645 | − | 0.683545i | ||||
\(872\) | 12.5794 | + | 46.9471i | 0.425993 | + | 1.58983i | ||||
\(873\) | 34.4914 | + | 27.1337i | 1.16736 | + | 0.918337i | ||||
\(874\) | 2.37796i | 0.0804357i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51622 | − | 22.0097i | 0.152589 | − | 0.743637i | ||||
\(877\) | −8.78089 | + | 32.7707i | −0.296510 | + | 1.10659i | 0.643501 | + | 0.765445i | \(0.277481\pi\) |
−0.940011 | + | 0.341144i | \(0.889186\pi\) | |||||||
\(878\) | 34.2689 | − | 9.18234i | 1.15652 | − | 0.309889i | ||||
\(879\) | 31.3613 | + | 27.8397i | 1.05779 | + | 0.939009i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 14.2708i | − | 0.480796i | −0.970674 | − | 0.240398i | \(-0.922722\pi\) | ||
0.970674 | − | 0.240398i | \(-0.0772780\pi\) | |||||||
\(882\) | 9.92943 | − | 50.2585i | 0.334341 | − | 1.69229i | ||||
\(883\) | 26.8398 | − | 26.8398i | 0.903230 | − | 0.903230i | −0.0924838 | − | 0.995714i | \(-0.529481\pi\) |
0.995714 | + | 0.0924838i | \(0.0294806\pi\) | |||||||
\(884\) | −10.9809 | − | 19.0195i | −0.369327 | − | 0.639693i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.5152 | + | 21.6769i | −0.420456 | + | 0.728251i | ||||
\(887\) | 38.7423 | + | 10.3810i | 1.30084 | + | 0.348559i | 0.841767 | − | 0.539841i | \(-0.181516\pi\) |
0.459071 | + | 0.888399i | \(0.348182\pi\) | |||||||
\(888\) | −35.6621 | + | 23.5187i | −1.19674 | + | 0.789235i | ||||
\(889\) | −10.4478 | − | 0.272162i | −0.350408 | − | 0.00912803i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 30.7140 | + | 9.02964i | 1.02896 | + | 0.302504i | ||||
\(892\) | 51.3373 | − | 13.7558i | 1.71890 | − | 0.460578i | ||||
\(893\) | 1.07454 | − | 0.287921i | 0.0359580 | − | 0.00963492i | ||||
\(894\) | 23.7210 | + | 71.2902i | 0.793350 | + | 2.38430i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −25.2011 | − | 46.3996i | −0.841910 | − | 1.55010i | ||||
\(897\) | 4.40693 | + | 6.68237i | 0.147143 | + | 0.223118i | ||||
\(898\) | −15.7911 | − | 4.23121i | −0.526956 | − | 0.141197i | ||||
\(899\) | −1.78753 | + | 3.09609i | −0.0596175 | + | 0.103260i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.82009 | − | 8.34865i | −0.160581 | − | 0.278134i | ||||
\(902\) | 62.0193 | − | 62.0193i | 2.06502 | − | 2.06502i | ||||
\(903\) | 0.0724902 | + | 2.17137i | 0.00241232 | + | 0.0722587i | ||||
\(904\) | − | 53.7313i | − | 1.78707i | ||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 55.8403 | − | 62.9039i | 1.85517 | − | 2.08984i | ||||
\(907\) | −5.50258 | + | 1.47441i | −0.182710 | + | 0.0489570i | −0.349014 | − | 0.937118i | \(-0.613483\pi\) |
0.166304 | + | 0.986075i | \(0.446817\pi\) | |||||||
\(908\) | 2.25965 | − | 8.43312i | 0.0749891 | − | 0.279863i | ||||
\(909\) | 0.503467 | + | 0.215697i | 0.0166989 | + | 0.00715422i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.4287i | 0.378651i | 0.981914 | + | 0.189326i | \(0.0606301\pi\) | ||||
−0.981914 | + | 0.189326i | \(0.939370\pi\) | |||||||
\(912\) | −2.20092 | − | 1.10193i | −0.0728798 | − | 0.0364887i | ||||
\(913\) | −1.26811 | − | 4.73264i | −0.0419682 | − | 0.156627i | ||||
\(914\) | 37.7468 | − | 65.3794i | 1.24855 | − | 2.16256i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −100.772 | −3.32962 | ||||||||
\(917\) | −6.63041 | + | 22.3951i | −0.218955 | + | 0.739550i | ||||
\(918\) | −6.87889 | − | 38.1821i | −0.227037 | − | 1.26020i | ||||
\(919\) | −32.2477 | + | 18.6182i | −1.06375 | + | 0.614158i | −0.926468 | − | 0.376374i | \(-0.877171\pi\) |
−0.137285 | + | 0.990532i | \(0.543838\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −17.1378 | − | 15.2134i | −0.564710 | − | 0.501297i | ||||
\(922\) | 22.1889 | − | 82.8101i | 0.730753 | − | 2.72721i | ||||
\(923\) | −3.93806 | − | 3.93806i | −0.129623 | − | 0.129623i | ||||
\(924\) | −62.7353 | − | 14.5850i | −2.06384 | − | 0.479812i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 10.5041 | − | 6.06454i | 0.345186 | − | 0.199293i | ||||
\(927\) | −14.4284 | − | 2.07696i | −0.473890 | − | 0.0682162i | ||||
\(928\) | 0.670665 | + | 2.50295i | 0.0220156 | + | 0.0821635i | ||||
\(929\) | 1.75415 | + | 3.03828i | 0.0575519 | + | 0.0996828i | 0.893366 | − | 0.449330i | \(-0.148337\pi\) |
−0.835814 | + | 0.549013i | \(0.815004\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.21791 | − | 2.38867i | −0.0399153 | − | 0.0782854i | ||||
\(932\) | 72.1078 | − | 72.1078i | 2.36197 | − | 2.36197i | ||||
\(933\) | 4.22185 | + | 2.11375i | 0.138217 | + | 0.0692010i | ||||
\(934\) | −65.5614 | − | 37.8519i | −2.14523 | − | 1.23855i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −25.7509 | + | 3.07452i | −0.841696 | + | 0.100494i | ||||
\(937\) | 8.69968 | + | 8.69968i | 0.284206 | + | 0.284206i | 0.834784 | − | 0.550578i | \(-0.185593\pi\) |
−0.550578 | + | 0.834784i | \(0.685593\pi\) | |||||||
\(938\) | −60.0461 | + | 56.9971i | −1.96057 | + | 1.86102i | ||||
\(939\) | −43.9698 | − | 9.02227i | −1.43490 | − | 0.294431i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 36.0321 | + | 20.8032i | 1.17461 | + | 0.678164i | 0.954762 | − | 0.297370i | \(-0.0961094\pi\) |
0.219851 | + | 0.975533i | \(0.429443\pi\) | |||||||
\(942\) | −43.6001 | + | 2.59360i | −1.42057 | + | 0.0845040i | ||||
\(943\) | 24.8455 | + | 6.65734i | 0.809081 | + | 0.216793i | ||||
\(944\) | −28.3147 | −0.921564 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.11402 | 0.133758 | ||||||||
\(947\) | 53.1753 | + | 14.2483i | 1.72796 | + | 0.463007i | 0.979712 | − | 0.200408i | \(-0.0642269\pi\) |
0.748252 | + | 0.663415i | \(0.230894\pi\) | |||||||
\(948\) | 25.3431 | − | 1.50756i | 0.823105 | − | 0.0489632i | ||||
\(949\) | −5.16324 | − | 2.98100i | −0.167606 | − | 0.0967673i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −7.99984 | − | 1.64151i | −0.259413 | − | 0.0532295i | ||||
\(952\) | 9.00354 | + | 37.4800i | 0.291806 | + | 1.21473i | ||||
\(953\) | −19.2607 | − | 19.2607i | −0.623916 | − | 0.623916i | 0.322614 | − | 0.946531i | \(-0.395438\pi\) |
−0.946531 | + | 0.322614i | \(0.895438\pi\) | |||||||
\(954\) | −22.8891 | + | 2.73284i | −0.741064 | + | 0.0884789i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 18.3138 | + | 10.5735i | 0.592311 | + | 0.341971i | ||||
\(957\) | 30.3962 | + | 15.2185i | 0.982571 | + | 0.491943i | ||||
\(958\) | 25.1988 | − | 25.1988i | 0.814137 | − | 0.814137i | ||||
\(959\) | 26.9782 | + | 16.5272i | 0.871171 | + | 0.533691i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2901 | + | 26.4832i | 0.493228 | + | 0.854296i | ||||
\(962\) | 5.94100 | + | 22.1721i | 0.191545 | + | 0.714857i | ||||
\(963\) | −31.9956 | − | 4.60575i | −1.03104 | − | 0.148418i | ||||
\(964\) | −27.5368 | + | 15.8984i | −0.886902 | + | 0.512053i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −8.27612 | − | 27.2193i | −0.266280 | − | 0.875766i | ||||
\(967\) | −30.3993 | − | 30.3993i | −0.977576 | − | 0.977576i | 0.0221785 | − | 0.999754i | \(-0.492940\pi\) |
−0.999754 | + | 0.0221785i | \(0.992940\pi\) | |||||||
\(968\) | −2.03643 | + | 7.60007i | −0.0654534 | + | 0.244275i | ||||
\(969\) | −1.51852 | − | 1.34800i | −0.0487818 | − | 0.0433040i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.05677 | − | 1.76483i | 0.0980965 | − | 0.0566360i | −0.450149 | − | 0.892953i | \(-0.648629\pi\) |
0.548246 | + | 0.836317i | \(0.315296\pi\) | |||||||
\(972\) | −60.0208 | − | 13.8333i | −1.92517 | − | 0.443702i | ||||
\(973\) | 14.6327 | + | 15.4154i | 0.469102 | + | 0.494196i | ||||
\(974\) | 4.03836 | 0.129397 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 20.2559 | − | 35.0843i | 0.648377 | − | 1.12302i | ||||
\(977\) | 10.3641 | + | 38.6793i | 0.331577 | + | 1.23746i | 0.907533 | + | 0.419980i | \(0.137963\pi\) |
−0.575957 | + | 0.817480i | \(0.695370\pi\) | |||||||
\(978\) | −75.5728 | − | 37.8370i | −2.41655 | − | 1.20989i | ||||
\(979\) | − | 10.8112i | − | 0.345528i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 28.1559 | + | 12.0626i | 0.898948 | + | 0.385131i | ||||
\(982\) | −20.6371 | + | 77.0186i | −0.658556 | + | 2.45776i | ||||
\(983\) | −35.7125 | + | 9.56912i | −1.13905 | + | 0.305208i | −0.778569 | − | 0.627559i | \(-0.784054\pi\) |
−0.360481 | + | 0.932766i | \(0.617388\pi\) | |||||||
\(984\) | −55.3235 | + | 62.3217i | −1.76365 | + | 1.98674i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | − | 41.1954i | − | 1.31193i | ||||||
\(987\) | −11.2976 | + | 7.03545i | −0.359607 | + | 0.223941i | ||||
\(988\) | −1.94348 | + | 1.94348i | −0.0618304 | + | 0.0618304i | ||||
\(989\) | 0.603252 | + | 1.04486i | 0.0191823 | + | 0.0332247i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.0560 | − | 34.7381i | 0.637101 | − | 1.10349i | −0.348964 | − | 0.937136i | \(-0.613467\pi\) |
0.986066 | − | 0.166356i | \(-0.0532001\pi\) | |||||||
\(992\) | −0.293945 | − | 0.0787622i | −0.00933275 | − | 0.00250070i | ||||
\(993\) | 9.64268 | + | 14.6215i | 0.306001 | + | 0.464000i | ||||
\(994\) | 9.44717 | + | 17.3939i | 0.299646 | + | 0.551700i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 2.97621 | + | 8.94460i | 0.0943050 | + | 0.283420i | ||||
\(997\) | 35.4747 | − | 9.50542i | 1.12350 | − | 0.301040i | 0.351198 | − | 0.936301i | \(-0.385774\pi\) |
0.772297 | + | 0.635261i | \(0.219108\pi\) | |||||||
\(998\) | 47.5282 | − | 12.7351i | 1.50448 | − | 0.403124i | ||||
\(999\) | −2.24681 | + | 26.8288i | −0.0710860 | + | 0.848825i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))