Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not 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: | \(5.86900454856\) |
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 | 263.1 | ||
Character | \(\chi\) | \(=\) | 735.263 |
Dual form | 735.2.y.i.422.1 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.631395 | + | 2.35640i | −0.446464 | + | 1.66623i | 0.265578 | + | 0.964089i | \(0.414437\pi\) |
−0.712042 | + | 0.702137i | \(0.752230\pi\) | |||||||
\(3\) | −0.102851 | − | 1.72899i | −0.0593810 | − | 0.998235i | ||||
\(4\) | −3.42191 | − | 1.97564i | −1.71095 | − | 0.987819i | ||||
\(5\) | 1.90893 | + | 1.16447i | 0.853698 | + | 0.520769i | ||||
\(6\) | 4.13914 | + | 0.849321i | 1.68980 | + | 0.346734i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.36596 | − | 3.36596i | 1.19005 | − | 1.19005i | ||||
\(9\) | −2.97884 | + | 0.355658i | −0.992948 | + | 0.118553i | ||||
\(10\) | −3.94925 | + | 3.76295i | −1.24886 | + | 1.18995i | ||||
\(11\) | 3.08053 | + | 1.77855i | 0.928816 | + | 0.536252i | 0.886437 | − | 0.462850i | \(-0.153173\pi\) |
0.0423788 | + | 0.999102i | \(0.486506\pi\) | |||||||
\(12\) | −3.06392 | + | 6.11965i | −0.884478 | + | 1.76659i | ||||
\(13\) | −1.28412 | − | 1.28412i | −0.356151 | − | 0.356151i | 0.506241 | − | 0.862392i | \(-0.331035\pi\) |
−0.862392 | + | 0.506241i | \(0.831035\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.81704 | − | 3.42029i | 0.469156 | − | 0.883115i | ||||
\(16\) | 1.85502 | + | 3.21299i | 0.463755 | + | 0.803247i | ||||
\(17\) | 2.95633 | − | 0.792145i | 0.717015 | − | 0.192123i | 0.118175 | − | 0.992993i | \(-0.462296\pi\) |
0.598839 | + | 0.800869i | \(0.295629\pi\) | |||||||
\(18\) | 1.04276 | − | 7.24390i | 0.245780 | − | 1.70740i | ||||
\(19\) | 0.331717 | − | 0.191517i | 0.0761011 | − | 0.0439370i | −0.461467 | − | 0.887158i | \(-0.652677\pi\) |
0.537568 | + | 0.843221i | \(0.319343\pi\) | |||||||
\(20\) | −4.23159 | − | 7.75607i | −0.946211 | − | 1.73431i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.13600 | + | 6.13600i | −1.30820 | + | 1.30820i | ||||
\(23\) | 2.45814 | + | 0.658656i | 0.512557 | + | 0.137339i | 0.505822 | − | 0.862638i | \(-0.331189\pi\) |
0.00673550 | + | 0.999977i | \(0.497856\pi\) | |||||||
\(24\) | −6.16592 | − | 5.47354i | −1.25861 | − | 1.11728i | ||||
\(25\) | 2.28800 | + | 4.44579i | 0.457600 | + | 0.889158i | ||||
\(26\) | 3.83669 | − | 2.21512i | 0.752437 | − | 0.434420i | ||||
\(27\) | 0.921307 | + | 5.11382i | 0.177306 | + | 0.984156i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.51741 | 1.02456 | 0.512279 | − | 0.858819i | \(-0.328801\pi\) | ||||
0.512279 | + | 0.858819i | \(0.328801\pi\) | |||||||
\(30\) | 6.91230 | + | 6.44122i | 1.26201 | + | 1.17600i | ||||
\(31\) | −0.323980 | + | 0.561149i | −0.0581885 | + | 0.100785i | −0.893652 | − | 0.448760i | \(-0.851866\pi\) |
0.835464 | + | 0.549546i | \(0.185199\pi\) | |||||||
\(32\) | 0.453646 | − | 0.121554i | 0.0801941 | − | 0.0214880i | ||||
\(33\) | 2.75826 | − | 5.50915i | 0.480152 | − | 0.959020i | ||||
\(34\) | 7.46644i | 1.28048i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 10.8960 | + | 4.66809i | 1.81600 | + | 0.778015i | ||||
\(37\) | 5.00473 | + | 1.34101i | 0.822772 | + | 0.220461i | 0.645558 | − | 0.763711i | \(-0.276625\pi\) |
0.177214 | + | 0.984172i | \(0.443291\pi\) | |||||||
\(38\) | 0.241846 | + | 0.902580i | 0.0392325 | + | 0.146418i | ||||
\(39\) | −2.08817 | + | 2.35231i | −0.334374 | + | 0.376671i | ||||
\(40\) | 10.3449 | − | 2.50579i | 1.63568 | − | 0.396201i | ||||
\(41\) | 10.1075i | 1.57852i | 0.614060 | + | 0.789259i | \(0.289535\pi\) | ||||
−0.614060 | + | 0.789259i | \(0.710465\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.335236 | − | 0.335236i | −0.0511231 | − | 0.0511231i | 0.681083 | − | 0.732206i | \(-0.261509\pi\) |
−0.732206 | + | 0.681083i | \(0.761509\pi\) | |||||||
\(44\) | −7.02753 | − | 12.1720i | −1.05944 | − | 1.83500i | ||||
\(45\) | −6.10055 | − | 2.78986i | −0.909416 | − | 0.415888i | ||||
\(46\) | −3.10411 | + | 5.37648i | −0.457677 | + | 0.792719i | ||||
\(47\) | 0.751687 | − | 2.80533i | 0.109645 | − | 0.409200i | −0.889186 | − | 0.457546i | \(-0.848728\pi\) |
0.998831 | + | 0.0483463i | \(0.0153951\pi\) | |||||||
\(48\) | 5.36445 | − | 3.53778i | 0.774291 | − | 0.510634i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −11.9207 | + | 2.58438i | −1.68584 | + | 0.365487i | ||||
\(51\) | −1.67368 | − | 5.03000i | −0.234362 | − | 0.704341i | ||||
\(52\) | 1.85718 | + | 6.93111i | 0.257545 | + | 0.961171i | ||||
\(53\) | 0.815217 | + | 3.04243i | 0.111979 | + | 0.417910i | 0.999043 | − | 0.0437355i | \(-0.0139259\pi\) |
−0.887065 | + | 0.461645i | \(0.847259\pi\) | |||||||
\(54\) | −12.6319 | − | 1.05788i | −1.71899 | − | 0.143959i | ||||
\(55\) | 3.80944 | + | 6.98232i | 0.513664 | + | 0.941495i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.365249 | − | 0.553839i | −0.0483784 | − | 0.0733578i | ||||
\(58\) | −3.48367 | + | 13.0012i | −0.457428 | + | 1.70714i | ||||
\(59\) | −3.81595 | + | 6.60942i | −0.496795 | + | 0.860474i | −0.999993 | − | 0.00369723i | \(-0.998823\pi\) |
0.503198 | + | 0.864171i | \(0.332156\pi\) | |||||||
\(60\) | −12.9750 | + | 8.11411i | −1.67506 | + | 1.04753i | ||||
\(61\) | 5.45977 | + | 9.45659i | 0.699051 | + | 1.21079i | 0.968796 | + | 0.247860i | \(0.0797274\pi\) |
−0.269744 | + | 0.962932i | \(0.586939\pi\) | |||||||
\(62\) | −1.11773 | − | 1.11773i | −0.141952 | − | 0.141952i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.56580i | 1.07072i | ||||||||
\(65\) | −0.955966 | − | 3.94662i | −0.118573 | − | 0.489518i | ||||
\(66\) | 11.2402 | + | 9.97802i | 1.38357 | + | 1.22821i | ||||
\(67\) | −3.31987 | − | 12.3899i | −0.405586 | − | 1.51367i | −0.802972 | − | 0.596017i | \(-0.796749\pi\) |
0.397386 | − | 0.917652i | \(-0.369918\pi\) | |||||||
\(68\) | −11.6813 | − | 3.12999i | −1.41656 | − | 0.379567i | ||||
\(69\) | 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 | \(0.941750\pi\) | |||||||
\(72\) | −8.82954 | + | 11.2238i | −1.04057 | + | 1.32274i | ||||
\(73\) | −3.17113 | + | 0.849702i | −0.371153 | + | 0.0994501i | −0.439574 | − | 0.898206i | \(-0.644871\pi\) |
0.0684210 | + | 0.997657i | \(0.478204\pi\) | |||||||
\(74\) | −6.31993 | + | 10.9464i | −0.734676 | + | 1.27250i | ||||
\(75\) | 7.45143 | − | 4.41319i | 0.860417 | − | 0.509591i | ||||
\(76\) | −1.51347 | −0.173607 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.22453 | − | 6.40579i | −0.478334 | − | 0.725313i | ||||
\(79\) | 3.21262 | − | 1.85480i | 0.361448 | − | 0.208682i | −0.308268 | − | 0.951300i | \(-0.599749\pi\) |
0.669716 | + | 0.742618i | \(0.266416\pi\) | |||||||
\(80\) | −0.200348 | + | 8.29348i | −0.0223996 | + | 0.927239i | ||||
\(81\) | 8.74702 | − | 2.11890i | 0.971891 | − | 0.235433i | ||||
\(82\) | −23.8172 | − | 6.38180i | −2.63017 | − | 0.704752i | ||||
\(83\) | 0.973978 | − | 0.973978i | 0.106908 | − | 0.106908i | −0.651629 | − | 0.758537i | \(-0.725914\pi\) |
0.758537 | + | 0.651629i | \(0.225914\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.56584 | + | 1.93042i | 0.712166 | + | 0.209384i | ||||
\(86\) | 1.00162 | − | 0.578284i | 0.108007 | − | 0.0623580i | ||||
\(87\) | −0.567471 | − | 9.53957i | −0.0608393 | − | 1.02275i | ||||
\(88\) | 16.3555 | − | 4.38244i | 1.74350 | − | 0.467169i | ||||
\(89\) | −1.51967 | − | 2.63215i | −0.161085 | − | 0.279007i | 0.774173 | − | 0.632974i | \(-0.218166\pi\) |
−0.935258 | + | 0.353967i | \(0.884833\pi\) | |||||||
\(90\) | 10.4259 | − | 12.6138i | 1.09899 | − | 1.32961i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.11025 | − | 7.11025i | −0.741295 | − | 0.741295i | ||||
\(93\) | 1.00355 | + | 0.502444i | 0.104063 | + | 0.0521011i | ||||
\(94\) | 6.13587 | + | 3.54255i | 0.632867 | + | 0.365386i | ||||
\(95\) | 0.856240 | + | 0.0206844i | 0.0878483 | + | 0.00212218i | ||||
\(96\) | −0.256825 | − | 0.771850i | −0.0262120 | − | 0.0787766i | ||||
\(97\) | 10.3438 | − | 10.3438i | 1.05025 | − | 1.05025i | 0.0515850 | − | 0.998669i | \(-0.483573\pi\) |
0.998669 | − | 0.0515850i | \(-0.0164273\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.80898 | − | 4.20240i | −0.985839 | − | 0.422357i | ||||
\(100\) | 0.953965 | − | 19.7333i | 0.0953965 | − | 1.97333i | ||||
\(101\) | −0.158115 | − | 0.0912877i | −0.0157330 | − | 0.00908347i | 0.492113 | − | 0.870531i | \(-0.336225\pi\) |
−0.507846 | + | 0.861448i | \(0.669558\pi\) | |||||||
\(102\) | 12.9094 | − | 0.767931i | 1.27822 | − | 0.0760365i | ||||
\(103\) | 1.25761 | − | 4.69347i | 0.123916 | − | 0.462461i | −0.875883 | − | 0.482524i | \(-0.839720\pi\) |
0.999799 | + | 0.0200632i | \(0.00638675\pi\) | |||||||
\(104\) | −8.64461 | −0.847674 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.68390 | −0.746327 | ||||||||
\(107\) | 2.78881 | − | 10.4080i | 0.269605 | − | 1.00618i | −0.689767 | − | 0.724032i | \(-0.742287\pi\) |
0.959371 | − | 0.282146i | \(-0.0910464\pi\) | |||||||
\(108\) | 6.95044 | − | 19.3192i | 0.668807 | − | 1.85899i | ||||
\(109\) | −8.84242 | − | 5.10517i | −0.846950 | − | 0.488987i | 0.0126703 | − | 0.999920i | \(-0.495967\pi\) |
−0.859621 | + | 0.510933i | \(0.829300\pi\) | |||||||
\(110\) | −18.8584 | + | 4.56795i | −1.79808 | + | 0.435537i | ||||
\(111\) | 1.80386 | − | 8.79107i | 0.171215 | − | 0.834412i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.98156 | + | 7.98156i | −0.750842 | + | 0.750842i | −0.974636 | − | 0.223794i | \(-0.928156\pi\) |
0.223794 | + | 0.974636i | \(0.428156\pi\) | |||||||
\(114\) | 1.53568 | − | 0.510981i | 0.143830 | − | 0.0478578i | ||||
\(115\) | 3.92542 | + | 4.11977i | 0.366047 | + | 0.384170i | ||||
\(116\) | −18.8801 | − | 10.9004i | −1.75297 | − | 1.01208i | ||||
\(117\) | 4.28191 | + | 3.36849i | 0.395862 | + | 0.311417i | ||||
\(118\) | −13.1651 | − | 13.1651i | −1.21194 | − | 1.21194i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.39649 | − | 17.6286i | −0.492630 | − | 1.60927i | ||||
\(121\) | 0.826456 | + | 1.43146i | 0.0751323 | + | 0.130133i | ||||
\(122\) | −25.7308 | + | 6.89454i | −2.32955 | + | 0.624202i | ||||
\(123\) | 17.4757 | − | 1.03956i | 1.57573 | − | 0.0937341i | ||||
\(124\) | 2.21726 | − | 1.28013i | 0.199116 | − | 0.114959i | ||||
\(125\) | −0.809394 | + | 11.1510i | −0.0723944 | + | 0.997376i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.79324 | − | 2.79324i | 0.247860 | − | 0.247860i | −0.572232 | − | 0.820092i | \(-0.693922\pi\) |
0.820092 | + | 0.572232i | \(0.193922\pi\) | |||||||
\(128\) | −19.2771 | − | 5.16530i | −1.70387 | − | 0.456552i | ||||
\(129\) | −0.545143 | + | 0.614101i | −0.0479971 | + | 0.0540686i | ||||
\(130\) | 9.90341 | + | 0.239240i | 0.868586 | + | 0.0209827i | ||||
\(131\) | 7.64504 | − | 4.41386i | 0.667950 | − | 0.385641i | −0.127349 | − | 0.991858i | \(-0.540647\pi\) |
0.795299 | + | 0.606217i | \(0.207314\pi\) | |||||||
\(132\) | −20.3226 | + | 13.4025i | −1.76886 | + | 1.16654i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 31.2917 | 2.70319 | ||||||||
\(135\) | −4.19621 | + | 10.8348i | −0.361152 | + | 0.932507i | ||||
\(136\) | 7.28455 | − | 12.6172i | 0.624645 | − | 1.08192i | ||||
\(137\) | −11.5506 | + | 3.09498i | −0.986836 | + | 0.264422i | −0.715921 | − | 0.698181i | \(-0.753993\pi\) |
−0.270915 | + | 0.962603i | \(0.587326\pi\) | |||||||
\(138\) | 9.61517 | + | 4.81402i | 0.818498 | + | 0.409797i | ||||
\(139\) | 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 | ||||
\(142\) | −7.22644 | − | 1.93632i | −0.606430 | − | 0.162492i | ||||
\(143\) | −1.67191 | − | 6.23965i | −0.139812 | − | 0.521786i | ||||
\(144\) | −6.66853 | − | 8.91123i | −0.555711 | − | 0.742603i | ||||
\(145\) | 10.5323 | + | 6.42489i | 0.874663 | + | 0.533558i | ||||
\(146\) | − | 8.00895i | − | 0.662826i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.4764 | − | 14.4764i | −1.18995 | − | 1.18995i | ||||
\(149\) | 8.89069 | + | 15.3991i | 0.728354 | + | 1.26155i | 0.957579 | + | 0.288172i | \(0.0930477\pi\) |
−0.229225 | + | 0.973374i | \(0.573619\pi\) | |||||||
\(150\) | 5.69444 | + | 20.3450i | 0.464949 | + | 1.66116i | ||||
\(151\) | −9.95334 | + | 17.2397i | −0.809991 | + | 1.40295i | 0.102878 | + | 0.994694i | \(0.467195\pi\) |
−0.912869 | + | 0.408252i | \(0.866139\pi\) | |||||||
\(152\) | 0.471908 | − | 1.76118i | 0.0382768 | − | 0.142851i | ||||
\(153\) | −8.52470 | + | 3.41112i | −0.689181 | + | 0.275772i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.27190 | + | 0.693927i | −0.102161 | + | 0.0557375i | ||||
\(156\) | 11.7928 | − | 3.92393i | 0.944182 | − | 0.314166i | ||||
\(157\) | −2.67538 | − | 9.98465i | −0.213519 | − | 0.796862i | −0.986683 | − | 0.162656i | \(-0.947994\pi\) |
0.773164 | − | 0.634206i | \(-0.218673\pi\) | |||||||
\(158\) | 2.34223 | + | 8.74132i | 0.186338 | + | 0.695422i | ||||
\(159\) | 5.17650 | − | 1.72242i | 0.410523 | − | 0.136597i | ||||
\(160\) | 1.00752 | + | 0.296222i | 0.0796518 | + | 0.0234184i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.529858 | + | 21.9493i | −0.0416296 | + | 1.72450i | ||||
\(163\) | 5.17687 | − | 19.3203i | 0.405484 | − | 1.51329i | −0.397678 | − | 0.917525i | \(-0.630184\pi\) |
0.803162 | − | 0.595761i | \(-0.203149\pi\) | |||||||
\(164\) | 19.9687 | − | 34.5868i | 1.55929 | − | 2.70077i | ||||
\(165\) | 11.6806 | − | 7.30463i | 0.909332 | − | 0.568665i | ||||
\(166\) | 1.68012 | + | 2.91005i | 0.130402 | + | 0.225863i | ||||
\(167\) | −6.08875 | − | 6.08875i | −0.471162 | − | 0.471162i | 0.431129 | − | 0.902290i | \(-0.358116\pi\) |
−0.902290 | + | 0.431129i | \(0.858116\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 9.70206i | − | 0.746312i | ||||||
\(170\) | −8.69448 | + | 14.2529i | −0.666836 | + | 1.09315i | ||||
\(171\) | −0.920018 | + | 0.688476i | −0.0703556 | + | 0.0526491i | ||||
\(172\) | 0.484842 | + | 1.80945i | 0.0369688 | + | 0.137970i | ||||
\(173\) | 1.62388 | + | 0.435117i | 0.123461 | + | 0.0330813i | 0.320021 | − | 0.947411i | \(-0.396310\pi\) |
−0.196559 | + | 0.980492i | \(0.562977\pi\) | |||||||
\(174\) | 22.8373 | + | 4.68605i | 1.73129 | + | 0.355249i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.1969i | 0.994758i | ||||||||
\(177\) | 11.8201 | + | 5.91797i | 0.888455 | + | 0.444822i | ||||
\(178\) | 7.16190 | − | 1.91903i | 0.536807 | − | 0.143837i | ||||
\(179\) | 10.5758 | − | 18.3178i | 0.790470 | − | 1.36913i | −0.135206 | − | 0.990818i | \(-0.543170\pi\) |
0.925676 | − | 0.378317i | \(-0.123497\pi\) | |||||||
\(180\) | 15.3637 | + | 21.5991i | 1.14515 | + | 1.60990i | ||||
\(181\) | −22.4232 | −1.66671 | −0.833353 | − | 0.552740i | \(-0.813582\pi\) | ||||
−0.833353 | + | 0.552740i | \(0.813582\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 15.7889 | − | 10.4125i | 1.16715 | − | 0.769716i | ||||
\(184\) | 10.4910 | − | 6.05699i | 0.773407 | − | 0.446527i | ||||
\(185\) | 7.99208 | + | 8.38778i | 0.587590 | + | 0.616682i | ||||
\(186\) | −1.81759 | + | 2.04751i | −0.133272 | + | 0.150131i | ||||
\(187\) | 10.5159 | + | 2.81773i | 0.769001 | + | 0.206053i | ||||
\(188\) | −8.11453 | + | 8.11453i | −0.591813 | + | 0.591813i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.589366 | + | 2.00458i | −0.0427571 | + | 0.145428i | ||||
\(191\) | 16.3692 | − | 9.45078i | 1.18444 | − | 0.683834i | 0.227399 | − | 0.973802i | \(-0.426978\pi\) |
0.957037 | + | 0.289967i | \(0.0936444\pi\) | |||||||
\(192\) | 14.8102 | − | 0.881001i | 1.06884 | − | 0.0635807i | ||||
\(193\) | −14.8722 | + | 3.98500i | −1.07053 | + | 0.286847i | −0.750709 | − | 0.660633i | \(-0.770288\pi\) |
−0.319817 | + | 0.947479i | \(0.603621\pi\) | |||||||
\(194\) | 17.8431 | + | 30.9051i | 1.28106 | + | 2.21886i | ||||
\(195\) | −6.72536 | + | 2.05877i | −0.481613 | + | 0.147432i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.582177 | − | 0.582177i | −0.0414784 | − | 0.0414784i | 0.686063 | − | 0.727542i | \(-0.259337\pi\) |
−0.727542 | + | 0.686063i | \(0.759337\pi\) | |||||||
\(198\) | 16.0959 | − | 20.4605i | 1.14388 | − | 1.45406i | ||||
\(199\) | −4.00381 | − | 2.31160i | −0.283823 | − | 0.163865i | 0.351330 | − | 0.936252i | \(-0.385730\pi\) |
−0.635153 | + | 0.772387i | \(0.719063\pi\) | |||||||
\(200\) | 22.6657 | + | 7.26305i | 1.60271 | + | 0.513575i | ||||
\(201\) | −21.0806 | + | 7.01435i | −1.48691 | + | 0.494754i | ||||
\(202\) | 0.314943 | − | 0.314943i | 0.0221593 | − | 0.0221593i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.21030 | + | 20.5188i | −0.294780 | + | 1.43660i | ||||
\(205\) | −11.7699 | + | 19.2944i | −0.822043 | + | 1.34758i | ||||
\(206\) | 10.2656 | + | 5.92686i | 0.715240 | + | 0.412944i | ||||
\(207\) | −7.55667 | − | 1.08778i | −0.525225 | − | 0.0756058i | ||||
\(208\) | 1.74380 | − | 6.50794i | 0.120911 | − | 0.451244i | ||||
\(209\) | 1.36249 | 0.0942452 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.8142 | 1.57060 | 0.785298 | − | 0.619118i | \(-0.212510\pi\) | ||||
0.785298 | + | 0.619118i | \(0.212510\pi\) | |||||||
\(212\) | 3.22115 | − | 12.0215i | 0.221229 | − | 0.825639i | ||||
\(213\) | 5.30236 | − | 0.315416i | 0.363312 | − | 0.0216120i | ||||
\(214\) | 22.7645 | + | 13.1431i | 1.55615 | + | 0.898444i | ||||
\(215\) | −0.249567 | − | 1.03032i | −0.0170203 | − | 0.0702670i | ||||
\(216\) | 20.3140 | + | 14.1118i | 1.38219 | + | 0.960190i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 17.6129 | − | 17.6129i | 1.19290 | − | 1.19290i | ||||
\(219\) | 1.79528 | + | 5.39548i | 0.121314 | + | 0.364593i | ||||
\(220\) | 0.758996 | − | 31.4189i | 0.0511715 | − | 2.11826i | ||||
\(221\) | −4.81349 | − | 2.77907i | −0.323791 | − | 0.186941i | ||||
\(222\) | 19.5763 | + | 9.80126i | 1.31388 | + | 0.657818i | ||||
\(223\) | 9.51124 | + | 9.51124i | 0.636920 | + | 0.636920i | 0.949794 | − | 0.312875i | \(-0.101292\pi\) |
−0.312875 | + | 0.949794i | \(0.601292\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.39677 | − | 12.4296i | −0.559784 | − | 0.828638i | ||||
\(226\) | −13.7682 | − | 23.8473i | −0.915849 | − | 1.58630i | ||||
\(227\) | −2.13428 | + | 0.571878i | −0.141657 | + | 0.0379569i | −0.328951 | − | 0.944347i | \(-0.606695\pi\) |
0.187294 | + | 0.982304i | \(0.440028\pi\) | |||||||
\(228\) | 0.155662 | + | 2.61679i | 0.0103090 | + | 0.173301i | ||||
\(229\) | −22.0869 | + | 12.7519i | −1.45954 | + | 0.842668i | −0.998989 | − | 0.0449629i | \(-0.985683\pi\) |
−0.460555 | + | 0.887631i | \(0.652350\pi\) | |||||||
\(230\) | −12.1863 | + | 6.64865i | −0.803541 | + | 0.438399i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.5714 | − | 18.5714i | 1.21927 | − | 1.21927i | ||||
\(233\) | −24.9289 | − | 6.67968i | −1.63315 | − | 0.437601i | −0.678322 | − | 0.734765i | \(-0.737292\pi\) |
−0.954826 | + | 0.297164i | \(0.903959\pi\) | |||||||
\(234\) | −10.6411 | + | 7.96303i | −0.695629 | + | 0.520560i | ||||
\(235\) | 4.70165 | − | 4.47985i | 0.306702 | − | 0.292233i | ||||
\(236\) | 26.1157 | − | 15.0779i | 1.69998 | − | 0.981487i | ||||
\(237\) | −3.53737 | − | 5.36383i | −0.229777 | − | 0.348418i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.35194 | −0.346188 | −0.173094 | − | 0.984905i | \(-0.555376\pi\) | ||||
−0.173094 | + | 0.984905i | \(0.555376\pi\) | |||||||
\(240\) | 14.3600 | − | 0.506592i | 0.926933 | − | 0.0327004i | ||||
\(241\) | 4.02361 | − | 6.96910i | 0.259184 | − | 0.448919i | −0.706840 | − | 0.707374i | \(-0.749880\pi\) |
0.966023 | + | 0.258454i | \(0.0832132\pi\) | |||||||
\(242\) | −3.89492 | + | 1.04364i | −0.250375 | + | 0.0670877i | ||||
\(243\) | −4.56320 | − | 14.9056i | −0.292729 | − | 0.956195i | ||||
\(244\) | − | 43.1461i | − | 2.76215i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −8.58447 | + | 41.8362i | −0.547326 | + | 2.66738i | ||||
\(247\) | −0.671896 | − | 0.180034i | −0.0427517 | − | 0.0114553i | ||||
\(248\) | 0.798304 | + | 2.97931i | 0.0506923 | + | 0.189186i | ||||
\(249\) | −1.78418 | − | 1.58383i | −0.113068 | − | 0.100371i | ||||
\(250\) | −25.7652 | − | 8.94795i | −1.62953 | − | 0.565918i | ||||
\(251\) | − | 4.25486i | − | 0.268565i | −0.990943 | − | 0.134282i | \(-0.957127\pi\) | ||
0.990943 | − | 0.134282i | \(-0.0428729\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.40093 | + | 6.40093i | 0.402423 | + | 0.402423i | ||||
\(254\) | 4.81835 | + | 8.34562i | 0.302330 | + | 0.523651i | ||||
\(255\) | 2.66238 | − | 11.5509i | 0.166725 | − | 0.723342i | ||||
\(256\) | 15.7772 | − | 27.3269i | 0.986075 | − | 1.70793i | ||||
\(257\) | 0.937470 | − | 3.49869i | 0.0584778 | − | 0.218242i | −0.930503 | − | 0.366283i | \(-0.880630\pi\) |
0.988981 | + | 0.148041i | \(0.0472968\pi\) | |||||||
\(258\) | −1.10287 | − | 1.67231i | −0.0686615 | − | 0.104114i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.52587 | + | 15.3936i | −0.280683 | + | 0.954671i | ||||
\(261\) | −16.4355 | + | 1.96231i | −1.01733 | + | 0.121464i | ||||
\(262\) | 5.57379 | + | 20.8017i | 0.344350 | + | 1.28513i | ||||
\(263\) | −1.99500 | − | 7.44545i | −0.123017 | − | 0.459106i | 0.876744 | − | 0.480957i | \(-0.159711\pi\) |
−0.999761 | + | 0.0218510i | \(0.993044\pi\) | |||||||
\(264\) | −9.25938 | − | 27.8278i | −0.569876 | − | 1.71268i | ||||
\(265\) | −1.98664 | + | 6.75707i | −0.122039 | + | 0.415084i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −4.39467 | + | 2.89822i | −0.268949 | + | 0.177368i | ||||
\(268\) | −13.1177 | + | 48.9560i | −0.801292 | + | 2.99046i | ||||
\(269\) | 9.75238 | − | 16.8916i | 0.594613 | − | 1.02990i | −0.398988 | − | 0.916956i | \(-0.630638\pi\) |
0.993601 | − | 0.112944i | \(-0.0360282\pi\) | |||||||
\(270\) | −22.8815 | − | 16.7290i | −1.39253 | − | 1.01809i | ||||
\(271\) | −10.1887 | − | 17.6473i | −0.618919 | − | 1.07200i | −0.989683 | − | 0.143273i | \(-0.954237\pi\) |
0.370764 | − | 0.928727i | \(-0.379096\pi\) | |||||||
\(272\) | 8.02919 | + | 8.02919i | 0.486841 | + | 0.486841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 29.1720i | − | 1.76235i | ||||||
\(275\) | −0.858796 | + | 17.7647i | −0.0517874 | + | 1.07125i | ||||
\(276\) | −11.5623 | + | 13.0249i | −0.695968 | + | 0.784006i | ||||
\(277\) | −2.97277 | − | 11.0945i | −0.178616 | − | 0.666605i | −0.995907 | − | 0.0903802i | \(-0.971192\pi\) |
0.817291 | − | 0.576225i | \(-0.195475\pi\) | |||||||
\(278\) | −18.9299 | − | 5.07226i | −1.13534 | − | 0.304214i | ||||
\(279\) | 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 | \(0.988913\pi\) | |||||||
\(282\) | 5.49397 | − | 10.9732i | 0.327161 | − | 0.653447i | ||||
\(283\) | −23.5828 | + | 6.31899i | −1.40185 | + | 0.375625i | −0.879009 | − | 0.476805i | \(-0.841795\pi\) |
−0.522841 | + | 0.852430i | \(0.675128\pi\) | |||||||
\(284\) | 6.05875 | − | 10.4941i | 0.359521 | − | 0.622708i | ||||
\(285\) | −0.0523018 | − | 1.48256i | −0.00309809 | − | 0.0878193i | ||||
\(286\) | 15.7587 | 0.931834 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.30811 | + | 0.523434i | −0.0770811 | + | 0.0308436i | ||||
\(289\) | −6.61006 | + | 3.81632i | −0.388827 | + | 0.224489i | ||||
\(290\) | −21.7897 | + | 20.7617i | −1.27953 | + | 1.21917i | ||||
\(291\) | −18.9482 | − | 16.8205i | −1.11077 | − | 0.986035i | ||||
\(292\) | 12.5300 | + | 3.35741i | 0.733264 | + | 0.196478i | ||||
\(293\) | 17.1201 | − | 17.1201i | 1.00016 | − | 1.00016i | 0.000164506 | − | 1.00000i | \(-0.499948\pi\) |
1.00000 | 0.000164506i | \(-5.23640e-5\pi\) | ||||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.9809 | + | 8.17332i | −0.872220 | + | 0.475869i | ||||
\(296\) | 21.3595 | − | 12.3319i | 1.24150 | − | 0.716779i | ||||
\(297\) | −6.25706 | + | 17.3919i | −0.363071 | + | 1.00918i | ||||
\(298\) | −41.9000 | + | 11.2271i | −2.42720 | + | 0.650367i | ||||
\(299\) | −2.31075 | − | 4.00234i | −0.133634 | − | 0.231462i | ||||
\(300\) | −34.2170 | + | 0.380194i | −1.97552 | + | 0.0219505i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −34.3391 | − | 34.3391i | −1.97599 | − | 1.97599i | ||||
\(303\) | −0.141574 | + | 0.282769i | −0.00813320 | + | 0.0162447i | ||||
\(304\) | 1.23068 | + | 0.710535i | 0.0705845 | + | 0.0407520i | ||||
\(305\) | −0.589672 | + | 24.4097i | −0.0337645 | + | 1.39769i | ||||
\(306\) | −2.65550 | − | 22.2414i | −0.151805 | − | 1.27145i | ||||
\(307\) | 9.35548 | − | 9.35548i | 0.533946 | − | 0.533946i | −0.387799 | − | 0.921744i | \(-0.626764\pi\) |
0.921744 | + | 0.387799i | \(0.126764\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.24432 | − | 1.69167i | −0.469003 | − | 0.0962359i | ||||
\(310\) | −0.832098 | − | 3.43524i | −0.0472600 | − | 0.195109i | ||||
\(311\) | 2.36072 | + | 1.36296i | 0.133864 | + | 0.0772864i | 0.565436 | − | 0.824792i | \(-0.308708\pi\) |
−0.431572 | + | 0.902078i | \(0.642041\pi\) | |||||||
\(312\) | 0.889107 | + | 14.9465i | 0.0503357 | + | 0.846178i | ||||
\(313\) | −6.70726 | + | 25.0318i | −0.379117 | + | 1.41488i | 0.468118 | + | 0.883666i | \(0.344932\pi\) |
−0.847235 | + | 0.531218i | \(0.821735\pi\) | |||||||
\(314\) | 25.2171 | 1.42308 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.6577 | −0.824560 | ||||||||
\(317\) | −1.22032 | + | 4.55428i | −0.0685398 | + | 0.255794i | −0.991691 | − | 0.128643i | \(-0.958938\pi\) |
0.923151 | + | 0.384437i | \(0.125604\pi\) | |||||||
\(318\) | 0.790297 | + | 13.2854i | 0.0443177 | + | 0.745010i | ||||
\(319\) | 16.9966 | + | 9.81297i | 0.951625 | + | 0.549421i | ||||
\(320\) | −9.97465 | + | 16.3515i | −0.557600 | + | 0.914075i | ||||
\(321\) | −18.2822 | − | 3.75137i | −1.02041 | − | 0.209381i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.828954 | − | 0.828954i | 0.0461243 | − | 0.0461243i | ||||
\(324\) | −34.1176 | − | 10.0303i | −1.89542 | − | 0.557238i | ||||
\(325\) | 2.77087 | − | 8.64701i | 0.153700 | − | 0.479650i | ||||
\(326\) | 42.2578 | + | 24.3975i | 2.34044 | + | 1.35125i | ||||
\(327\) | −7.91737 | + | 15.8136i | −0.437831 | + | 0.874492i | ||||
\(328\) | 34.0213 | + | 34.0213i | 1.87851 | + | 1.87851i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 9.83757 | + | 32.1362i | 0.541540 | + | 1.76904i | ||||
\(331\) | −5.05610 | − | 8.75743i | −0.277909 | − | 0.481352i | 0.692956 | − | 0.720980i | \(-0.256308\pi\) |
−0.970865 | + | 0.239628i | \(0.922975\pi\) | |||||||
\(332\) | −5.25709 | + | 1.40863i | −0.288520 | + | 0.0773088i | ||||
\(333\) | −15.3852 | − | 2.21470i | −0.843106 | − | 0.121365i | ||||
\(334\) | 18.1919 | − | 10.5031i | 0.995419 | − | 0.574705i | ||||
\(335\) | 8.09036 | − | 27.5173i | 0.442023 | − | 1.50343i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.78763 | − | 8.78763i | 0.478692 | − | 0.478692i | −0.426021 | − | 0.904713i | \(-0.640085\pi\) |
0.904713 | + | 0.426021i | \(0.140085\pi\) | |||||||
\(338\) | 22.8619 | + | 6.12584i | 1.24353 | + | 0.333202i | ||||
\(339\) | 14.6210 | + | 12.9792i | 0.794103 | + | 0.704931i | ||||
\(340\) | −18.6539 | − | 19.5775i | −1.01165 | − | 1.06174i | ||||
\(341\) | −1.99606 | + | 1.15243i | −0.108093 | + | 0.0624074i | ||||
\(342\) | −1.04143 | − | 2.60263i | −0.0563141 | − | 0.140734i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −2.25679 | −0.121678 | ||||||||
\(345\) | 6.71932 | − | 7.21074i | 0.361756 | − | 0.388213i | ||||
\(346\) | −2.05062 | + | 3.55177i | −0.110242 | + | 0.190945i | ||||
\(347\) | −10.6721 | + | 2.85959i | −0.572911 | + | 0.153511i | −0.533631 | − | 0.845717i | \(-0.679173\pi\) |
−0.0392795 | + | 0.999228i | \(0.512506\pi\) | |||||||
\(348\) | −16.9049 | + | 33.7647i | −0.906199 | + | 1.80998i | ||||
\(349\) | 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 | ||||
\(352\) | 1.61366 | + | 0.432380i | 0.0860085 | + | 0.0230459i | ||||
\(353\) | 5.76838 | + | 21.5279i | 0.307020 | + | 1.14581i | 0.931192 | + | 0.364528i | \(0.118770\pi\) |
−0.624172 | + | 0.781287i | \(0.714564\pi\) | |||||||
\(354\) | −21.4083 | + | 24.1164i | −1.13784 | + | 1.28177i | ||||
\(355\) | −3.57113 | + | 5.85416i | −0.189536 | + | 0.310707i | ||||
\(356\) | 12.0093i | 0.636491i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 36.4865 | + | 36.4865i | 1.92837 | + | 1.92837i | ||||
\(359\) | −13.3858 | − | 23.1849i | −0.706476 | − | 1.22365i | −0.966156 | − | 0.257958i | \(-0.916950\pi\) |
0.259680 | − | 0.965695i | \(-0.416383\pi\) | |||||||
\(360\) | −29.9248 | + | 11.1436i | −1.57717 | + | 0.587321i | ||||
\(361\) | −9.42664 | + | 16.3274i | −0.496139 | + | 0.859338i | ||||
\(362\) | 14.1579 | − | 52.8381i | 0.744124 | − | 2.77711i | ||||
\(363\) | 2.38999 | − | 1.57616i | 0.125442 | − | 0.0827272i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.04291 | − | 2.07068i | −0.368643 | − | 0.108385i | ||||
\(366\) | 14.5671 | + | 43.7793i | 0.761432 | + | 2.28838i | ||||
\(367\) | −4.35135 | − | 16.2394i | −0.227138 | − | 0.847692i | −0.981536 | − | 0.191275i | \(-0.938738\pi\) |
0.754398 | − | 0.656417i | \(-0.227929\pi\) | |||||||
\(368\) | 2.44364 | + | 9.11979i | 0.127384 | + | 0.475402i | ||||
\(369\) | −3.59479 | − | 30.1085i | −0.187137 | − | 1.56739i | ||||
\(370\) | −24.8111 | + | 13.5365i | −1.28987 | + | 0.703731i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.44139 | − | 3.70196i | −0.126580 | − | 0.191938i | ||||
\(373\) | 2.71527 | − | 10.1335i | 0.140591 | − | 0.524694i | −0.859321 | − | 0.511437i | \(-0.829113\pi\) |
0.999912 | − | 0.0132570i | \(-0.00421995\pi\) | |||||||
\(374\) | −13.2794 | + | 23.0006i | −0.686662 | + | 1.18933i | ||||
\(375\) | 19.3633 | + | 0.252546i | 0.999915 | + | 0.0130414i | ||||
\(376\) | −6.91249 | − | 11.9728i | −0.356485 | − | 0.617450i | ||||
\(377\) | −7.08503 | − | 7.08503i | −0.364898 | − | 0.364898i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.0750i | 1.13391i | 0.823747 | + | 0.566957i | \(0.191880\pi\) | ||||
−0.823747 | + | 0.566957i | \(0.808120\pi\) | |||||||
\(380\) | −2.88911 | − | 1.76240i | −0.148208 | − | 0.0904092i | ||||
\(381\) | −5.11678 | − | 4.54221i | −0.262141 | − | 0.232704i | ||||
\(382\) | 11.9344 | + | 44.5396i | 0.610615 | + | 2.27885i | ||||
\(383\) | −19.4248 | − | 5.20486i | −0.992561 | − | 0.265956i | −0.274235 | − | 0.961663i | \(-0.588425\pi\) |
−0.718326 | + | 0.695707i | \(0.755091\pi\) | |||||||
\(384\) | −6.94809 | + | 33.8613i | −0.354568 | + | 1.72798i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 37.5610i | − | 1.91181i | ||||||
\(387\) | 1.11785 | + | 0.879387i | 0.0568233 | + | 0.0447018i | ||||
\(388\) | −55.8311 | + | 14.9599i | −2.83440 | + | 0.759474i | ||||
\(389\) | 0.689060 | − | 1.19349i | 0.0349368 | − | 0.0605122i | −0.848028 | − | 0.529951i | \(-0.822210\pi\) |
0.882965 | + | 0.469439i | \(0.155544\pi\) | |||||||
\(390\) | −0.604931 | − | 17.1475i | −0.0306319 | − | 0.868300i | ||||
\(391\) | 7.78881 | 0.393897 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.41785 | − | 12.7643i | −0.424624 | − | 0.643872i | ||||
\(394\) | 1.73943 | − | 1.00426i | 0.0876310 | − | 0.0505938i | ||||
\(395\) | 8.29252 | + | 0.200325i | 0.417242 | + | 0.0100794i | ||||
\(396\) | 25.2630 | + | 33.7592i | 1.26951 | + | 1.69646i | ||||
\(397\) | 21.5175 | + | 5.76560i | 1.07993 | + | 0.289367i | 0.754568 | − | 0.656222i | \(-0.227846\pi\) |
0.325365 | + | 0.945589i | \(0.394513\pi\) | |||||||
\(398\) | 7.97504 | − | 7.97504i | 0.399753 | − | 0.399753i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.0400 | + | 15.5983i | −0.502000 | + | 0.779917i | ||||
\(401\) | −7.51392 | + | 4.33816i | −0.375227 | + | 0.216638i | −0.675740 | − | 0.737140i | \(-0.736176\pi\) |
0.300512 | + | 0.953778i | \(0.402842\pi\) | |||||||
\(402\) | −3.21838 | − | 54.1032i | −0.160518 | − | 2.69842i | ||||
\(403\) | 1.13661 | − | 0.304555i | 0.0566188 | − | 0.0151710i | ||||
\(404\) | 0.360703 | + | 0.624756i | 0.0179457 | + | 0.0310828i | ||||
\(405\) | 19.1648 | + | 6.14086i | 0.952307 | + | 0.305142i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.0322 | + | 13.0322i | 0.645981 | + | 0.645981i | ||||
\(408\) | −22.5643 | − | 11.2973i | −1.11710 | − | 0.559297i | ||||
\(409\) | 6.78090 | + | 3.91495i | 0.335294 | + | 0.193582i | 0.658189 | − | 0.752853i | \(-0.271323\pi\) |
−0.322895 | + | 0.946435i | \(0.604656\pi\) | |||||||
\(410\) | −38.0338 | − | 39.9169i | −1.87836 | − | 1.97135i | ||||
\(411\) | 6.53920 | + | 19.6526i | 0.322555 | + | 0.969393i | ||||
\(412\) | −13.5760 | + | 13.5760i | −0.668842 | + | 0.668842i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 7.33448 | − | 17.1197i | 0.360470 | − | 0.841387i | ||||
\(415\) | 2.99342 | − | 0.725079i | 0.146941 | − | 0.0355927i | ||||
\(416\) | −0.738628 | − | 0.426447i | −0.0362142 | − | 0.0209083i | ||||
\(417\) | 13.8897 | − | 0.826245i | 0.680184 | − | 0.0404614i | ||||
\(418\) | −0.860268 | + | 3.21056i | −0.0420771 | + | 0.157034i | ||||
\(419\) | −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 | \(0.763679\pi\) | |||||||
\(422\) | −14.4048 | + | 53.7594i | −0.701214 | + | 2.61697i | ||||
\(423\) | −1.24142 | + | 8.62399i | −0.0603599 | + | 0.419313i | ||||
\(424\) | 12.9847 | + | 7.49671i | 0.630592 | + | 0.364073i | ||||
\(425\) | 10.2858 | + | 11.3308i | 0.498934 | + | 0.549624i | ||||
\(426\) | −2.60464 | + | 12.6936i | −0.126195 | + | 0.615009i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −30.1055 | + | 30.1055i | −1.45520 | + | 1.45520i | ||||
\(429\) | −10.6164 | + | 3.53248i | −0.512563 | + | 0.170550i | ||||
\(430\) | 2.58541 | + | 0.0624565i | 0.124680 | + | 0.00301192i | ||||
\(431\) | −17.6840 | − | 10.2099i | −0.851811 | − | 0.491793i | 0.00945079 | − | 0.999955i | \(-0.496992\pi\) |
−0.861261 | + | 0.508162i | \(0.830325\pi\) | |||||||
\(432\) | −14.7216 | + | 12.4464i | −0.708294 | + | 0.598827i | ||||
\(433\) | −14.4338 | − | 14.4338i | −0.693646 | − | 0.693646i | 0.269386 | − | 0.963032i | \(-0.413179\pi\) |
−0.963032 | + | 0.269386i | \(0.913179\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.0253 | − | 18.8711i | 0.480678 | − | 0.904802i | ||||
\(436\) | 20.1720 | + | 34.9389i | 0.966062 | + | 1.67327i | ||||
\(437\) | 0.941550 | − | 0.252288i | 0.0450404 | − | 0.0120685i | ||||
\(438\) | −13.8474 | + | 0.823729i | −0.661656 | + | 0.0393593i | ||||
\(439\) | 12.5945 | − | 7.27146i | 0.601105 | − | 0.347048i | −0.168371 | − | 0.985724i | \(-0.553851\pi\) |
0.769476 | + | 0.638676i | \(0.220517\pi\) | |||||||
\(440\) | 36.3246 | + | 10.6798i | 1.73171 | + | 0.509139i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.58782 | − | 9.58782i | 0.456046 | − | 0.456046i | ||||
\(443\) | 9.91074 | + | 2.65557i | 0.470873 | + | 0.126170i | 0.486450 | − | 0.873709i | \(-0.338292\pi\) |
−0.0155764 | + | 0.999879i | \(0.504958\pi\) | |||||||
\(444\) | −23.5406 | + | 26.5185i | −1.11719 | + | 1.25851i | ||||
\(445\) | 0.164129 | − | 6.79419i | 0.00778048 | − | 0.322076i | ||||
\(446\) | −28.4176 | + | 16.4069i | −1.34561 | + | 0.776890i | ||||
\(447\) | 25.7106 | − | 16.9558i | 1.21607 | − | 0.801981i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.70137 | 0.316257 | 0.158129 | − | 0.987419i | \(-0.449454\pi\) | ||||
0.158129 | + | 0.987419i | \(0.449454\pi\) | |||||||
\(450\) | 34.5907 | − | 11.9382i | 1.63062 | − | 0.562770i | ||||
\(451\) | −17.9766 | + | 31.1363i | −0.846484 | + | 1.46615i | ||||
\(452\) | 43.0808 | − | 11.5435i | 2.02635 | − | 0.542959i | ||||
\(453\) | 30.8310 | + | 15.4361i | 1.44857 | + | 0.725253i | ||||
\(454\) | − | 5.39029i | − | 0.252979i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.09361 | − | 0.634787i | −0.144872 | − | 0.0297266i | ||||
\(457\) | 29.8916 | + | 8.00943i | 1.39827 | + | 0.374665i | 0.877723 | − | 0.479168i | \(-0.159061\pi\) |
0.520547 | + | 0.853833i | \(0.325728\pi\) | |||||||
\(458\) | −16.1030 | − | 60.0971i | −0.752442 | − | 2.80815i | ||||
\(459\) | 6.77458 | + | 14.3883i | 0.316210 | + | 0.671589i | ||||
\(460\) | −5.29324 | − | 21.8527i | −0.246798 | − | 1.01889i | ||||
\(461\) | 35.1427i | 1.63676i | 0.574680 | + | 0.818378i | \(0.305127\pi\) | ||||
−0.574680 | + | 0.818378i | \(0.694873\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.51567 | − | 3.51567i | −0.163387 | − | 0.163387i | 0.620678 | − | 0.784065i | \(-0.286857\pi\) |
−0.784065 | + | 0.620678i | \(0.786857\pi\) | |||||||
\(464\) | 10.2349 | + | 17.7274i | 0.475143 | + | 0.822973i | ||||
\(465\) | 1.33061 | + | 2.12773i | 0.0617056 | + | 0.0986713i | ||||
\(466\) | 31.4800 | − | 54.5250i | 1.45828 | − | 2.52582i | ||||
\(467\) | −8.03172 | + | 29.9748i | −0.371664 | + | 1.38707i | 0.486495 | + | 0.873683i | \(0.338275\pi\) |
−0.858159 | + | 0.513385i | \(0.828391\pi\) | |||||||
\(468\) | −7.99736 | − | 19.9862i | −0.369678 | − | 0.923860i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 7.58772 | + | 13.9075i | 0.349995 | + | 0.641507i | ||||
\(471\) | −16.9882 | + | 5.65265i | −0.782777 | + | 0.260460i | ||||
\(472\) | 9.40271 | + | 35.0914i | 0.432795 | + | 1.61521i | ||||
\(473\) | −0.436473 | − | 1.62894i | −0.0200691 | − | 0.0748988i | ||||
\(474\) | 14.8728 | − | 4.94876i | 0.683130 | − | 0.227304i | ||||
\(475\) | 1.61041 | + | 1.03655i | 0.0738907 | + | 0.0475604i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.51047 | − | 8.77299i | −0.160733 | − | 0.401687i | ||||
\(478\) | 3.37919 | − | 12.6113i | 0.154560 | − | 0.576827i | ||||
\(479\) | 7.30399 | − | 12.6509i | 0.333728 | − | 0.578034i | −0.649512 | − | 0.760352i | \(-0.725027\pi\) |
0.983240 | + | 0.182318i | \(0.0583600\pi\) | |||||||
\(480\) | 0.408541 | − | 1.77247i | 0.0186473 | − | 0.0809019i | ||||
\(481\) | −4.70466 | − | 8.14871i | −0.214514 | − | 0.371549i | ||||
\(482\) | 13.8815 | + | 13.8815i | 0.632285 | + | 0.632285i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 6.53111i | − | 0.296869i | ||||||
\(485\) | 31.7906 | − | 7.70046i | 1.44354 | − | 0.349660i | ||||
\(486\) | 38.0048 | − | 1.34139i | 1.72393 | − | 0.0608466i | ||||
\(487\) | 0.428446 | + | 1.59898i | 0.0194148 | + | 0.0724568i | 0.974954 | − | 0.222409i | \(-0.0713919\pi\) |
−0.955539 | + | 0.294865i | \(0.904725\pi\) | |||||||
\(488\) | 50.2079 | + | 13.4532i | 2.27280 | + | 0.608996i | ||||
\(489\) | −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 | \(0.735995\pi\) | |||||||
\(492\) | −61.8541 | − | 30.9684i | −2.78860 | − | 1.39617i | ||||
\(493\) | 16.3113 | − | 4.37059i | 0.734623 | − | 0.196842i | ||||
\(494\) | 0.848464 | − | 1.46958i | 0.0381742 | − | 0.0661196i | ||||
\(495\) | −13.8310 | − | 19.4444i | −0.621659 | − | 0.873960i | ||||
\(496\) | −2.40395 | −0.107941 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 4.85865 | − | 3.20421i | 0.217721 | − | 0.143584i | ||||
\(499\) | −17.4676 | + | 10.0849i | −0.781956 | + | 0.451463i | −0.837123 | − | 0.547014i | \(-0.815764\pi\) |
0.0551669 | + | 0.998477i | \(0.482431\pi\) | |||||||
\(500\) | 24.8000 | − | 36.5586i | 1.10909 | − | 1.63495i | ||||
\(501\) | −9.90118 | + | 11.1537i | −0.442352 | + | 0.498308i | ||||
\(502\) | 10.0262 | + | 2.68650i | 0.447489 | + | 0.119904i | ||||
\(503\) | −9.55454 | + | 9.55454i | −0.426016 | + | 0.426016i | −0.887269 | − | 0.461253i | \(-0.847400\pi\) |
0.461253 | + | 0.887269i | \(0.347400\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.195528 | − | 0.358382i | −0.00870086 | − | 0.0159478i | ||||
\(506\) | −19.1247 | + | 11.0416i | −0.850194 | + | 0.490860i | ||||
\(507\) | −16.7748 | + | 0.997867i | −0.744996 | + | 0.0443168i | ||||
\(508\) | −15.0766 | + | 4.03977i | −0.668917 | + | 0.179236i | ||||
\(509\) | 2.00475 | + | 3.47233i | 0.0888591 | + | 0.153908i | 0.907029 | − | 0.421068i | \(-0.138345\pi\) |
−0.818170 | + | 0.574976i | \(0.805011\pi\) | |||||||
\(510\) | 25.5374 | + | 13.5668i | 1.13082 | + | 0.600748i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 26.2078 | + | 26.2078i | 1.15823 | + | 1.15823i | ||||
\(513\) | 1.28500 | + | 1.51990i | 0.0567340 | + | 0.0671050i | ||||
\(514\) | 7.65238 | + | 4.41811i | 0.337532 | + | 0.194874i | ||||
\(515\) | 7.86611 | − | 7.49502i | 0.346622 | − | 0.330270i | ||||
\(516\) | 3.07867 | − | 1.02439i | 0.135531 | − | 0.0450964i | ||||
\(517\) | 7.30501 | − | 7.30501i | 0.321274 | − | 0.321274i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.585297 | − | 2.85243i | 0.0256917 | − | 0.125208i | ||||
\(520\) | −16.5019 | − | 10.0664i | −0.723657 | − | 0.441442i | ||||
\(521\) | −0.115369 | − | 0.0666082i | −0.00505440 | − | 0.00291816i | 0.497471 | − | 0.867481i | \(-0.334262\pi\) |
−0.502525 | + | 0.864563i | \(0.667596\pi\) | |||||||
\(522\) | 5.75332 | − | 39.9676i | 0.251816 | − | 1.74933i | ||||
\(523\) | 7.33082 | − | 27.3590i | 0.320554 | − | 1.19633i | −0.598151 | − | 0.801383i | \(-0.704098\pi\) |
0.918706 | − | 0.394942i | \(-0.129235\pi\) | |||||||
\(524\) | −34.8808 | −1.52377 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.8041 | 0.819897 | ||||||||
\(527\) | −0.513278 | + | 1.91558i | −0.0223587 | + | 0.0834440i | ||||
\(528\) | 22.8175 | − | 1.35732i | 0.993002 | − | 0.0590697i | ||||
\(529\) | −14.3100 | − | 8.26186i | −0.622173 | − | 0.359211i | ||||
\(530\) | −14.6680 | − | 8.94771i | −0.637137 | − | 0.388664i | ||||
\(531\) | 9.01643 | − | 21.0456i | 0.391280 | − | 0.913302i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.9792 | − | 12.9792i | 0.562192 | − | 0.562192i | ||||
\(534\) | −4.05459 | − | 12.1855i | −0.175459 | − | 0.527319i | ||||
\(535\) | 17.4435 | − | 16.6206i | 0.754147 | − | 0.718570i | ||||
\(536\) | −52.8785 | − | 30.5294i | −2.28400 | − | 1.31867i | ||||
\(537\) | −32.7591 | − | 16.4014i | −1.41366 | − | 0.707775i | ||||
\(538\) | 33.6458 | + | 33.6458i | 1.45057 | + | 1.45057i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 35.7646 | − | 28.7853i | 1.53906 | − | 1.23872i | ||||
\(541\) | −7.52532 | − | 13.0342i | −0.323539 | − | 0.560386i | 0.657677 | − | 0.753300i | \(-0.271539\pi\) |
−0.981216 | + | 0.192915i | \(0.938206\pi\) | |||||||
\(542\) | 48.0173 | − | 12.8662i | 2.06252 | − | 0.552650i | ||||
\(543\) | 2.30625 | + | 38.7697i | 0.0989708 | + | 1.66377i | ||||
\(544\) | 1.24484 | − | 0.718708i | 0.0533720 | − | 0.0308143i | ||||
\(545\) | −10.9347 | − | 20.0422i | −0.468390 | − | 0.858513i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.4068 | + | 12.4068i | −0.530476 | + | 0.530476i | −0.920714 | − | 0.390238i | \(-0.872393\pi\) |
0.390238 | + | 0.920714i | \(0.372393\pi\) | |||||||
\(548\) | 45.6397 | + | 12.2291i | 1.94963 | + | 0.522402i | ||||
\(549\) | −19.6271 | − | 26.2279i | −0.837664 | − | 1.11938i | ||||
\(550\) | −41.3185 | − | 13.2402i | −1.76183 | − | 0.564565i | ||||
\(551\) | 1.83022 | − | 1.05668i | 0.0779699 | − | 0.0450160i | ||||
\(552\) | −11.5515 | − | 17.5159i | −0.491665 | − | 0.745527i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 28.0201 | 1.19046 | ||||||||
\(555\) | 13.6804 | − | 14.6810i | 0.580702 | − | 0.623172i | ||||
\(556\) | 15.8711 | − | 27.4896i | 0.673086 | − | 1.16582i | ||||
\(557\) | −18.9058 | + | 5.06579i | −0.801065 | + | 0.214645i | −0.636051 | − | 0.771647i | \(-0.719433\pi\) |
−0.165013 | + | 0.986291i | \(0.552767\pi\) | |||||||
\(558\) | 3.72708 | + | 2.93202i | 0.157780 | + | 0.124122i | ||||
\(559\) | 0.860969i | 0.0364151i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.79027 | − | 18.4718i | 0.160025 | − | 0.779880i | ||||
\(562\) | −2.75121 | − | 0.737184i | −0.116053 | − | 0.0310962i | ||||
\(563\) | 7.32534 | + | 27.3385i | 0.308726 | + | 1.15218i | 0.929690 | + | 0.368343i | \(0.120075\pi\) |
−0.620964 | + | 0.783839i | \(0.713259\pi\) | |||||||
\(564\) | 14.8646 | + | 13.1954i | 0.625911 | + | 0.555626i | ||||
\(565\) | −24.5305 | + | 5.94189i | −1.03201 | + | 0.249977i | ||||
\(566\) | − | 59.5602i | − | 2.50350i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.3225 | + | 10.3225i | 0.433122 | + | 0.433122i | ||||
\(569\) | 3.02998 | + | 5.24808i | 0.127023 | + | 0.220011i | 0.922522 | − | 0.385944i | \(-0.126124\pi\) |
−0.795499 | + | 0.605955i | \(0.792791\pi\) | |||||||
\(570\) | 3.52653 | + | 0.812838i | 0.147710 | + | 0.0340460i | ||||
\(571\) | 10.6877 | − | 18.5116i | 0.447266 | − | 0.774687i | −0.550941 | − | 0.834544i | \(-0.685731\pi\) |
0.998207 | + | 0.0598570i | \(0.0190645\pi\) | |||||||
\(572\) | −6.60618 | + | 24.6546i | −0.276218 | + | 1.03086i | ||||
\(573\) | −18.0239 | − | 27.3303i | −0.752961 | − | 1.14174i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.69597 | + | 12.4354i | 0.112430 | + | 0.518591i | ||||
\(576\) | −3.04649 | − | 25.5162i | −0.126937 | − | 1.06317i | ||||
\(577\) | 10.2181 | + | 38.1345i | 0.425386 | + | 1.58756i | 0.763079 | + | 0.646305i | \(0.223687\pi\) |
−0.337694 | + | 0.941256i | \(0.609647\pi\) | |||||||
\(578\) | −4.81921 | − | 17.9855i | −0.200453 | − | 0.748100i | ||||
\(579\) | 8.41967 | + | 25.3041i | 0.349909 | + | 1.05160i | ||||
\(580\) | −23.3474 | − | 42.7934i | −0.969448 | − | 1.77690i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 51.5996 | − | 34.0292i | 2.13887 | − | 1.41056i | ||||
\(583\) | −2.89980 | + | 10.8222i | −0.120098 | + | 0.448210i | ||||
\(584\) | −7.81384 | + | 13.5340i | −0.323339 | + | 0.560040i | ||||
\(585\) | 4.25132 | + | 11.4164i | 0.175770 | + | 0.472009i | ||||
\(586\) | 29.5322 | + | 51.1512i | 1.21996 | + | 2.11304i | ||||
\(587\) | 28.9592 | + | 28.9592i | 1.19527 | + | 1.19527i | 0.975566 | + | 0.219708i | \(0.0705105\pi\) |
0.219708 | + | 0.975566i | \(0.429489\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.248190i | 0.0102265i | ||||||||
\(590\) | −9.80075 | − | 40.4615i | −0.403491 | − | 1.66577i | ||||
\(591\) | −0.946704 | + | 1.06646i | −0.0389422 | + | 0.0438682i | ||||
\(592\) | 4.97521 | + | 18.5677i | 0.204480 | + | 0.763129i | ||||
\(593\) | 30.1759 | + | 8.08560i | 1.23917 | + | 0.332036i | 0.818146 | − | 0.575011i | \(-0.195002\pi\) |
0.421029 | + | 0.907047i | \(0.361669\pi\) | |||||||
\(594\) | −37.0316 | − | 25.7253i | −1.51942 | − | 1.05552i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 70.2592i | − | 2.87793i | ||||||
\(597\) | −3.58495 | + | 7.16032i | −0.146722 | + | 0.293052i | ||||
\(598\) | 10.8901 | − | 2.91800i | 0.445330 | − | 0.119326i | ||||
\(599\) | 8.18471 | − | 14.1763i | 0.334418 | − | 0.579229i | −0.648955 | − | 0.760827i | \(-0.724794\pi\) |
0.983373 | + | 0.181598i | \(0.0581268\pi\) | |||||||
\(600\) | 10.2266 | − | 39.9358i | 0.417499 | − | 1.63037i | ||||
\(601\) | 0.0942728 | 0.00384547 | 0.00192273 | − | 0.999998i | \(-0.499388\pi\) | ||||
0.00192273 | + | 0.999998i | \(0.499388\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 14.2959 | + | 35.7269i | 0.582175 | + | 1.45491i | ||||
\(604\) | 68.1188 | − | 39.3284i | 2.77171 | − | 1.60025i | ||||
\(605\) | −0.0892598 | + | 3.69494i | −0.00362893 | + | 0.150221i | ||||
\(606\) | −0.576928 | − | 0.512143i | −0.0234361 | − | 0.0208044i | ||||
\(607\) | −0.843796 | − | 0.226095i | −0.0342486 | − | 0.00917689i | 0.241654 | − | 0.970362i | \(-0.422310\pi\) |
−0.275903 | + | 0.961186i | \(0.588977\pi\) | |||||||
\(608\) | 0.127203 | − | 0.127203i | 0.00515874 | − | 0.00515874i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −57.1467 | − | 16.8017i | −2.31380 | − | 0.680280i | ||||
\(611\) | −4.56765 | + | 2.63713i | −0.184787 | + | 0.106687i | ||||
\(612\) | 35.9099 | + | 5.16921i | 1.45157 | + | 0.208953i | ||||
\(613\) | −1.04613 | + | 0.280310i | −0.0422528 | + | 0.0113216i | −0.279884 | − | 0.960034i | \(-0.590296\pi\) |
0.237631 | + | 0.971356i | \(0.423629\pi\) | |||||||
\(614\) | 16.1382 | + | 27.9523i | 0.651287 | + | 1.12806i | ||||
\(615\) | 34.5704 | + | 18.3656i | 1.39401 | + | 0.740572i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.6770 | + | 19.6770i | 0.792168 | + | 0.792168i | 0.981846 | − | 0.189679i | \(-0.0607446\pi\) |
−0.189679 | + | 0.981846i | \(0.560745\pi\) | |||||||
\(618\) | 9.19168 | − | 18.3588i | 0.369744 | − | 0.738499i | ||||
\(619\) | 16.1891 | + | 9.34677i | 0.650694 | + | 0.375679i | 0.788722 | − | 0.614750i | \(-0.210743\pi\) |
−0.138028 | + | 0.990428i | \(0.544076\pi\) | |||||||
\(620\) | 5.72326 | + | 0.138259i | 0.229852 | + | 0.00555260i | ||||
\(621\) | −1.10355 | + | 13.1773i | −0.0442840 | + | 0.528787i | ||||
\(622\) | −4.70222 | + | 4.70222i | −0.188542 | + | 0.188542i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −11.4315 | − | 2.34567i | −0.457628 | − | 0.0939018i | ||||
\(625\) | −14.5301 | + | 20.3439i | −0.581205 | + | 0.813757i | ||||
\(626\) | −54.7501 | − | 31.6100i | −2.18825 | − | 1.26339i | ||||
\(627\) | −0.140133 | − | 2.35573i | −0.00559638 | − | 0.0940789i | ||||
\(628\) | −10.5712 | + | 39.4521i | −0.421836 | + | 1.57431i | ||||
\(629\) | 15.8579 | 0.632296 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.63531 | −0.303957 | −0.151978 | − | 0.988384i | \(-0.548564\pi\) | ||||
−0.151978 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(632\) | 4.57034 | − | 17.0567i | 0.181798 | − | 0.678481i | ||||
\(633\) | −2.34647 | − | 39.4457i | −0.0932636 | − | 1.56782i | ||||
\(634\) | −9.96121 | − | 5.75111i | −0.395610 | − | 0.228406i | ||||
\(635\) | 8.58474 | − | 2.07943i | 0.340675 | − | 0.0825197i | ||||
\(636\) | −21.1164 | − | 4.33292i | −0.837319 | − | 0.171812i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −33.8548 | + | 33.8548i | −1.34033 | + | 1.34033i | ||||
\(639\) | −1.09071 | − | 9.13531i | −0.0431477 | − | 0.361387i | ||||
\(640\) | −30.7838 | − | 32.3079i | −1.21684 | − | 1.27708i | ||||
\(641\) | 23.0817 | + | 13.3263i | 0.911674 | + | 0.526355i | 0.880969 | − | 0.473173i | \(-0.156892\pi\) |
0.0307047 | + | 0.999528i | \(0.490225\pi\) | |||||||
\(642\) | 20.3830 | − | 40.7115i | 0.804453 | − | 1.60676i | ||||
\(643\) | 21.9767 | + | 21.9767i | 0.866677 | + | 0.866677i | 0.992103 | − | 0.125426i | \(-0.0400298\pi\) |
−0.125426 | + | 0.992103i | \(0.540030\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.75574 | + | 0.537469i | −0.0691323 | + | 0.0211628i | ||||
\(646\) | 1.42995 | + | 2.47675i | 0.0562606 | + | 0.0974462i | ||||
\(647\) | −22.8390 | + | 6.11969i | −0.897893 | + | 0.240590i | −0.678111 | − | 0.734959i | \(-0.737201\pi\) |
−0.219782 | + | 0.975549i | \(0.570535\pi\) | |||||||
\(648\) | 22.3100 | − | 36.5742i | 0.876419 | − | 1.43677i | ||||
\(649\) | −23.5103 | + | 13.5737i | −0.922861 | + | 0.532814i | ||||
\(650\) | 18.6263 | + | 11.9890i | 0.730583 | + | 0.470246i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −55.8848 | + | 55.8848i | −2.18862 | + | 2.18862i | ||||
\(653\) | 26.2822 | + | 7.04229i | 1.02850 | + | 0.275586i | 0.733341 | − | 0.679861i | \(-0.237960\pi\) |
0.295161 | + | 0.955448i | \(0.404627\pi\) | |||||||
\(654\) | −32.2641 | − | 28.6411i | −1.26163 | − | 1.11996i | ||||
\(655\) | 19.7336 | + | 0.476711i | 0.771057 | + | 0.0186267i | ||||
\(656\) | −32.4751 | + | 18.7495i | −1.26794 | + | 0.732046i | ||||
\(657\) | 9.14410 | − | 3.65897i | 0.356745 | − | 0.142750i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −43.7515 | −1.70432 | −0.852158 | − | 0.523285i | \(-0.824706\pi\) | ||||
−0.852158 | + | 0.523285i | \(0.824706\pi\) | |||||||
\(660\) | −54.4012 | + | 1.91917i | −2.11756 | + | 0.0747034i | ||||
\(661\) | 4.32752 | − | 7.49549i | 0.168321 | − | 0.291541i | −0.769509 | − | 0.638636i | \(-0.779499\pi\) |
0.937830 | + | 0.347096i | \(0.112832\pi\) | |||||||
\(662\) | 23.8284 | − | 6.38480i | 0.926117 | − | 0.248152i | ||||
\(663\) | −4.30993 | + | 8.60834i | −0.167384 | + | 0.334320i | ||||
\(664\) | − | 6.55674i | − | 0.254451i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.9329 | − | 34.8554i | 0.578638 | − | 1.35062i | ||||
\(667\) | 13.5626 | + | 3.63408i | 0.525145 | + | 0.140712i | ||||
\(668\) | 8.80597 | + | 32.8643i | 0.340713 | + | 1.27156i | ||||
\(669\) | 15.4666 | − | 17.4231i | 0.597975 | − | 0.673617i | ||||
\(670\) | 59.7336 | + | 36.4384i | 2.30771 | + | 1.40774i | ||||
\(671\) | 38.8418i | 1.49947i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.15620 | + | 6.15620i | 0.237304 | + | 0.237304i | 0.815733 | − | 0.578429i | \(-0.196334\pi\) |
−0.578429 | + | 0.815733i | \(0.696334\pi\) | |||||||
\(674\) | 15.1587 | + | 26.2556i | 0.583891 | + | 1.01133i | ||||
\(675\) | −20.6270 | + | 15.7964i | −0.793935 | + | 0.608002i | ||||
\(676\) | −19.1678 | + | 33.1996i | −0.737222 | + | 1.27691i | ||||
\(677\) | −1.40139 | + | 5.23005i | −0.0538597 | + | 0.201007i | −0.987613 | − | 0.156911i | \(-0.949847\pi\) |
0.933753 | + | 0.357918i | \(0.116513\pi\) | |||||||
\(678\) | −39.8157 | + | 26.2579i | −1.52911 | + | 1.00843i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 28.5981 | − | 15.6026i | 1.09669 | − | 0.598334i | ||||
\(681\) | 1.20829 | + | 3.63134i | 0.0463016 | + | 0.139153i | ||||
\(682\) | −1.45527 | − | 5.43115i | −0.0557253 | − | 0.207970i | ||||
\(683\) | 1.84721 | + | 6.89389i | 0.0706817 | + | 0.263788i | 0.992219 | − | 0.124501i | \(-0.0397330\pi\) |
−0.921538 | + | 0.388289i | \(0.873066\pi\) | |||||||
\(684\) | 4.50840 | − | 0.538278i | 0.172383 | − | 0.0205816i | ||||
\(685\) | −25.6533 | − | 7.54232i | −0.980163 | − | 0.288177i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 24.3196 | + | 36.8766i | 0.927850 | + | 1.40693i | ||||
\(688\) | 0.455240 | − | 1.69898i | 0.0173559 | − | 0.0647730i | ||||
\(689\) | 2.86001 | − | 4.95369i | 0.108958 | − | 0.188721i | ||||
\(690\) | 12.7488 | + | 20.3862i | 0.485340 | + | 0.776090i | ||||
\(691\) | −18.5623 | − | 32.1509i | −0.706144 | − | 1.22308i | −0.966277 | − | 0.257504i | \(-0.917100\pi\) |
0.260133 | − | 0.965573i | \(-0.416234\pi\) | |||||||
\(692\) | −4.69713 | − | 4.69713i | −0.178558 | − | 0.178558i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 26.9534i | − | 1.02314i | ||||||
\(695\) | −9.35472 | + | 15.3352i | −0.354845 | + | 0.581698i | ||||
\(696\) | −34.0199 | − | 30.1998i | −1.28952 | − | 1.14472i | ||||
\(697\) | 8.00657 | + | 29.8809i | 0.303271 | + | 1.13182i | ||||
\(698\) | −16.1352 | − | 4.32340i | −0.610725 | − | 0.163643i | ||||
\(699\) | −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 | \(0.854153\pi\) | |||||||
\(702\) | 14.8625 | + | 17.5794i | 0.560948 | + | 0.663490i | ||||
\(703\) | 1.91698 | − | 0.513653i | 0.0723003 | − | 0.0193728i | ||||
\(704\) | −15.2347 | + | 26.3872i | −0.574178 | + | 0.994506i | ||||
\(705\) | −8.22921 | − | 7.66838i | −0.309930 | − | 0.288808i | ||||
\(706\) | −54.3705 | −2.04626 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −28.7556 | − | 43.6031i | −1.08070 | − | 1.63870i | ||||
\(709\) | −9.67685 | + | 5.58693i | −0.363422 | + | 0.209822i | −0.670581 | − | 0.741837i | \(-0.733955\pi\) |
0.307159 | + | 0.951658i | \(0.400622\pi\) | |||||||
\(710\) | −11.5400 | − | 12.1113i | −0.433087 | − | 0.454529i | ||||
\(711\) | −8.91020 | + | 6.66776i | −0.334159 | + | 0.250061i | ||||
\(712\) | −13.9749 | − | 3.74455i | −0.523730 | − | 0.140333i | ||||
\(713\) | −1.16599 | + | 1.16599i | −0.0436667 | + | 0.0436667i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.07436 | − | 13.8579i | 0.152373 | − | 0.518257i | ||||
\(716\) | −72.3786 | + | 41.7878i | −2.70492 | + | 1.56168i | ||||
\(717\) | 0.550452 | + | 9.25347i | 0.0205570 | + | 0.345577i | ||||
\(718\) | 63.0846 | − | 16.9035i | 2.35430 | − | 0.630832i | ||||
\(719\) | −22.9885 | − | 39.8173i | −0.857328 | − | 1.48494i | −0.874468 | − | 0.485083i | \(-0.838789\pi\) |
0.0171399 | − | 0.999853i | \(-0.494544\pi\) | |||||||
\(720\) | −2.35283 | − | 24.7762i | −0.0876849 | − | 0.923355i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −32.5220 | − | 32.5220i | −1.21034 | − | 1.21034i | ||||
\(723\) | −12.4634 | − | 6.24002i | −0.463518 | − | 0.232069i | ||||
\(724\) | 76.7303 | + | 44.3002i | 2.85166 | + | 1.64641i | ||||
\(725\) | 12.6238 | + | 24.5293i | 0.468837 | + | 0.910994i | ||||
\(726\) | 2.20504 | + | 6.62695i | 0.0818369 | + | 0.245949i | ||||
\(727\) | −35.2560 | + | 35.2560i | −1.30757 | + | 1.30757i | −0.384411 | + | 0.923162i | \(0.625595\pi\) |
−0.923162 | + | 0.384411i | \(0.874405\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −25.3024 | + | 9.42280i | −0.937125 | + | 0.348993i | ||||
\(730\) | 9.32622 | − | 15.2885i | 0.345179 | − | 0.565853i | ||||
\(731\) | −1.25662 | − | 0.725512i | −0.0464779 | − | 0.0268340i | ||||
\(732\) | −74.5994 | + | 4.43762i | −2.75727 | + | 0.164019i | ||||
\(733\) | 11.2869 | − | 42.1232i | 0.416890 | − | 1.55586i | −0.364129 | − | 0.931349i | \(-0.618633\pi\) |
0.781019 | − | 0.624507i | \(-0.214700\pi\) | |||||||
\(734\) | 41.0140 | 1.51386 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.19519 | 0.0440552 | ||||||||
\(737\) | 11.8091 | − | 44.0721i | 0.434993 | − | 1.62342i | ||||
\(738\) | 73.2174 | + | 10.5396i | 2.69517 | + | 0.387968i | ||||
\(739\) | 13.3113 | + | 7.68531i | 0.489666 | + | 0.282709i | 0.724436 | − | 0.689342i | \(-0.242100\pi\) |
−0.234770 | + | 0.972051i | \(0.575434\pi\) | |||||||
\(740\) | −10.7769 | − | 44.4917i | −0.396168 | − | 1.63555i | ||||
\(741\) | −0.242173 | + | 1.18022i | −0.00889643 | + | 0.0433565i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 34.3837 | − | 34.3837i | 1.26141 | − | 1.26141i | 0.311007 | − | 0.950408i | \(-0.399334\pi\) |
0.950408 | − | 0.311007i | \(-0.100666\pi\) | |||||||
\(744\) | 5.06911 | − | 1.68669i | 0.185842 | − | 0.0618370i | ||||
\(745\) | −0.960223 | + | 39.7488i | −0.0351799 | + | 1.45628i | ||||
\(746\) | 22.1642 | + | 12.7965i | 0.811490 | + | 0.468514i | ||||
\(747\) | −2.55492 | + | 3.24773i | −0.0934798 | + | 0.118828i | ||||
\(748\) | −30.4177 | − | 30.4177i | −1.11218 | − | 1.11218i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.8210 | + | 45.4681i | −0.468156 | + | 1.66026i | ||||
\(751\) | −10.8814 | − | 18.8472i | −0.397069 | − | 0.687744i | 0.596294 | − | 0.802766i | \(-0.296639\pi\) |
−0.993363 | + | 0.115022i | \(0.963306\pi\) | |||||||
\(752\) | 10.4079 | − | 2.78879i | 0.379537 | − | 0.101697i | ||||
\(753\) | −7.35664 | + | 0.437617i | −0.268091 | + | 0.0159477i | ||||
\(754\) | 21.1686 | − | 12.2217i | 0.770915 | − | 0.445088i | ||||
\(755\) | −39.0754 | + | 21.3189i | −1.42210 | + | 0.775873i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.4109 | + | 20.4109i | −0.741847 | + | 0.741847i | −0.972933 | − | 0.231086i | \(-0.925772\pi\) |
0.231086 | + | 0.972933i | \(0.425772\pi\) | |||||||
\(758\) | −52.0174 | − | 13.9380i | −1.88936 | − | 0.506252i | ||||
\(759\) | 10.4088 | − | 11.7255i | 0.377816 | − | 0.425609i | ||||
\(760\) | 2.95169 | − | 2.81245i | 0.107069 | − | 0.102018i | ||||
\(761\) | 25.7320 | − | 14.8564i | 0.932785 | − | 0.538544i | 0.0450939 | − | 0.998983i | \(-0.485641\pi\) |
0.887691 | + | 0.460439i | \(0.152308\pi\) | |||||||
\(762\) | 13.9340 | − | 9.18925i | 0.504774 | − | 0.332891i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −74.6853 | −2.70202 | ||||||||
\(765\) | −20.2452 | − | 3.41523i | −0.731966 | − | 0.123478i | ||||
\(766\) | 24.5295 | − | 42.4863i | 0.886286 | − | 1.53509i | ||||
\(767\) | 13.3875 | − | 3.58716i | 0.483393 | − | 0.129525i | ||||
\(768\) | −48.8708 | − | 24.4681i | −1.76347 | − | 0.882916i | ||||
\(769\) | − | 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 | ||||
\(772\) | 58.7643 | + | 15.7458i | 2.11497 | + | 0.566705i | ||||
\(773\) | 4.54737 | + | 16.9710i | 0.163558 | + | 0.610406i | 0.998220 | + | 0.0596432i | \(0.0189963\pi\) |
−0.834662 | + | 0.550762i | \(0.814337\pi\) | |||||||
\(774\) | −2.77799 | + | 2.07885i | −0.0998528 | + | 0.0747228i | ||||
\(775\) | −3.23602 | − | 0.156438i | −0.116241 | − | 0.00561943i | ||||
\(776\) | − | 69.6336i | − | 2.49970i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.37726 | + | 2.37726i | 0.0852290 | + | 0.0852290i | ||||
\(779\) | 1.93575 | + | 3.35281i | 0.0693553 | + | 0.120127i | ||||
\(780\) | 27.0810 | + | 6.24195i | 0.969654 | + | 0.223498i | ||||
\(781\) | −5.45433 | + | 9.44717i | −0.195171 | + | 0.338046i | ||||
\(782\) | −4.91782 | + | 18.3535i | −0.175861 | + | 0.656322i | ||||
\(783\) | 5.08323 | + | 28.2151i | 0.181660 | + | 1.00832i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.51977 | − | 22.1754i | 0.232701 | − | 0.791473i | ||||
\(786\) | 35.3927 | − | 11.7765i | 1.26241 | − | 0.420054i | ||||
\(787\) | −4.17374 | − | 15.5766i | −0.148778 | − | 0.555246i | −0.999558 | − | 0.0297245i | \(-0.990537\pi\) |
0.850780 | − | 0.525521i | \(-0.176130\pi\) | |||||||
\(788\) | 0.841984 | + | 3.14233i | 0.0299944 | + | 0.111941i | ||||
\(789\) | −12.6680 | + | 4.21512i | −0.450991 | + | 0.150062i | ||||
\(790\) | −5.70790 | + | 19.4140i | −0.203078 | + | 0.690719i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −47.1617 | + | 18.8715i | −1.67582 | + | 0.670571i | ||||
\(793\) | 5.13241 | − | 19.1544i | 0.182257 | − | 0.680193i | ||||
\(794\) | −27.1721 | + | 47.0635i | −0.964302 | + | 1.67022i | ||||
\(795\) | 11.8873 | + | 2.73993i | 0.421598 | + | 0.0971751i | ||||
\(796\) | 9.13378 | + | 15.8202i | 0.323738 | + | 0.560731i | ||||
\(797\) | −7.99994 | − | 7.99994i | −0.283373 | − | 0.283373i | 0.551080 | − | 0.834452i | \(-0.314216\pi\) |
−0.834452 | + | 0.551080i | \(0.814216\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 8.88893i | − | 0.314468i | ||||||
\(800\) | 1.57835 | + | 1.73870i | 0.0558030 | + | 0.0614724i | ||||
\(801\) | 5.46301 | + | 7.30027i | 0.193026 | + | 0.257942i | ||||
\(802\) | −5.47819 | − | 20.4449i | −0.193442 | − | 0.721934i | ||||
\(803\) | −11.2800 | − | 3.02247i | −0.398063 | − | 0.106661i | ||||
\(804\) | 85.9938 | + | 17.6453i | 3.03277 | + | 0.622301i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.87061i | 0.101113i | ||||||||
\(807\) | −30.2086 | − | 15.1245i | −1.06339 | − | 0.532408i | ||||
\(808\) | −0.839480 | + | 0.224938i | −0.0295328 | + | 0.00791329i | ||||
\(809\) | 16.4490 | − | 28.4906i | 0.578317 | − | 1.00167i | −0.417355 | − | 0.908743i | \(-0.637043\pi\) |
0.995673 | − | 0.0929313i | \(-0.0296237\pi\) | |||||||
\(810\) | −26.5709 | + | 41.2826i | −0.933606 | + | 1.45052i | ||||
\(811\) | 26.4235 | 0.927856 | 0.463928 | − | 0.885873i | \(-0.346440\pi\) | ||||
0.463928 | + | 0.885873i | \(0.346440\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −29.4642 | + | 19.4313i | −1.03336 | + | 0.681484i | ||||
\(814\) | −38.9375 | + | 22.4806i | −1.36476 | + | 0.787943i | ||||
\(815\) | 32.3803 | − | 30.8528i | 1.13423 | − | 1.08073i | ||||
\(816\) | 13.0566 | − | 14.7082i | 0.457073 | − | 0.514892i | ||||
\(817\) | −0.175407 | − | 0.0470002i | −0.00613671 | − | 0.00164433i | ||||
\(818\) | −13.5066 | + | 13.5066i | −0.472248 | + | 0.472248i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 78.3941 | − | 42.7705i | 2.73764 | − | 1.49361i | ||||
\(821\) | 19.3688 | − | 11.1826i | 0.675975 | − | 0.390275i | −0.122362 | − | 0.992486i | \(-0.539047\pi\) |
0.798337 | + | 0.602211i | \(0.205713\pi\) | |||||||
\(822\) | −50.4383 | + | 3.00037i | −1.75924 | + | 0.104650i | ||||
\(823\) | 26.3978 | − | 7.07326i | 0.920168 | − | 0.246558i | 0.232511 | − | 0.972594i | \(-0.425306\pi\) |
0.687657 | + | 0.726035i | \(0.258639\pi\) | |||||||
\(824\) | −11.5650 | − | 20.0311i | −0.402884 | − | 0.697816i | ||||
\(825\) | 30.8034 | − | 0.342265i | 1.07244 | − | 0.0119161i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −34.1284 | − | 34.1284i | −1.18676 | − | 1.18676i | −0.977958 | − | 0.208804i | \(-0.933043\pi\) |
−0.208804 | − | 0.977958i | \(-0.566957\pi\) | |||||||
\(828\) | 23.7091 | + | 18.6515i | 0.823950 | + | 0.648185i | ||||
\(829\) | −11.5297 | − | 6.65666i | −0.400442 | − | 0.231196i | 0.286232 | − | 0.958160i | \(-0.407597\pi\) |
−0.686675 | + | 0.726965i | \(0.740930\pi\) | |||||||
\(830\) | −0.181458 | + | 7.51151i | −0.00629849 | + | 0.260728i | ||||
\(831\) | −18.8766 | + | 6.28098i | −0.654823 | + | 0.217885i | ||||
\(832\) | 10.9995 | − | 10.9995i | 0.381340 | − | 0.381340i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −6.82295 | + | 33.2515i | −0.236260 | + | 1.15140i | ||||
\(835\) | −4.53278 | − | 18.7132i | −0.156863 | − | 0.647596i | ||||
\(836\) | −4.66230 | − | 2.69178i | −0.161249 | − | 0.0930972i | ||||
\(837\) | −3.16810 | − | 1.13978i | −0.109506 | − | 0.0393967i | ||||
\(838\) | 10.8970 | − | 40.6683i | 0.376432 | − | 1.40486i | ||||
\(839\) | 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 | ||||||||
\(842\) | 19.0915 | − | 71.2506i | 0.657938 | − | 2.45546i | ||||
\(843\) | 2.01868 | − | 0.120083i | 0.0695271 | − | 0.00413589i | ||||
\(844\) | −78.0681 | − | 45.0727i | −2.68722 | − | 1.55146i | ||||
\(845\) | 11.2978 | − | 18.5205i | 0.388656 | − | 0.637125i | ||||
\(846\) | −19.5377 | − | 8.37043i | −0.671721 | − | 0.287781i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −8.26305 | + | 8.26305i | −0.283754 | + | 0.283754i | ||||
\(849\) | 13.3510 | + | 40.1246i | 0.458205 | + | 1.37707i | ||||
\(850\) | −33.1943 | + | 17.0832i | −1.13855 | + | 0.585949i | ||||
\(851\) | 11.4191 | + | 6.59279i | 0.391440 | + | 0.225998i | ||||
\(852\) | −18.7673 | − | 9.39623i | −0.642958 | − | 0.321909i | ||||
\(853\) | −33.5959 | − | 33.5959i | −1.15030 | − | 1.15030i | −0.986492 | − | 0.163811i | \(-0.947621\pi\) |
−0.163811 | − | 0.986492i | \(-0.552379\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.55796 | + | 0.242912i | −0.0874804 | + | 0.00830743i | ||||
\(856\) | −25.6458 | − | 44.4199i | −0.876557 | − | 1.51824i | ||||
\(857\) | 6.23724 | − | 1.67126i | 0.213060 | − | 0.0570892i | −0.150710 | − | 0.988578i | \(-0.548156\pi\) |
0.363770 | + | 0.931489i | \(0.381489\pi\) | |||||||
\(858\) | −1.62080 | − | 27.2468i | −0.0553333 | − | 0.930190i | ||||
\(859\) | −20.2860 | + | 11.7121i | −0.692148 | + | 0.399612i | −0.804416 | − | 0.594066i | \(-0.797522\pi\) |
0.112268 | + | 0.993678i | \(0.464189\pi\) | |||||||
\(860\) | −1.18154 | + | 4.01870i | −0.0402901 | + | 0.137037i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 35.2242 | − | 35.2242i | 1.19974 | − | 1.19974i | ||||
\(863\) | −15.8533 | − | 4.24789i | −0.539654 | − | 0.144600i | −0.0213112 | − | 0.999773i | \(-0.506784\pi\) |
−0.518343 | + | 0.855173i | \(0.673451\pi\) | |||||||
\(864\) | 1.03955 | + | 2.20788i | 0.0353664 | + | 0.0751136i | ||||
\(865\) | 2.59318 | + | 2.72157i | 0.0881708 | + | 0.0925362i | ||||
\(866\) | 43.1254 | − | 24.8984i | 1.46546 | − | 0.846084i | ||||
\(867\) | 7.27825 | + | 11.0362i | 0.247182 | + | 0.374810i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.1954 | 0.447624 | ||||||||
\(870\) | 38.1380 | + | 35.5388i | 1.29300 | + | 1.20488i | ||||
\(871\) | −11.6470 | + | 20.1733i | −0.394645 | + | 0.683545i | ||||
\(872\) | −46.9471 | + | 12.5794i | −1.58983 | + | 0.425993i | ||||
\(873\) | −27.1337 | + | 34.4914i | −0.918337 | + | 1.16736i | ||||
\(874\) | 2.37796i | 0.0804357i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51622 | − | 22.0097i | 0.152589 | − | 0.743637i | ||||
\(877\) | −32.7707 | − | 8.78089i | −1.10659 | − | 0.296510i | −0.341144 | − | 0.940011i | \(-0.610814\pi\) |
−0.765445 | + | 0.643501i | \(0.777481\pi\) | |||||||
\(878\) | 9.18234 | + | 34.2689i | 0.309889 | + | 1.15652i | ||||
\(879\) | −31.3613 | − | 27.8397i | −1.05779 | − | 0.939009i | ||||
\(880\) | −15.3675 | + | 25.1920i | −0.518039 | + | 0.849222i | ||||
\(881\) | 14.2708i | 0.480796i | 0.970674 | + | 0.240398i | \(0.0772780\pi\) | ||||
−0.970674 | + | 0.240398i | \(0.922722\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.8398 | − | 26.8398i | −0.903230 | − | 0.903230i | 0.0924838 | − | 0.995714i | \(-0.470519\pi\) |
−0.995714 | + | 0.0924838i | \(0.970519\pi\) | |||||||
\(884\) | 10.9809 | + | 19.0195i | 0.369327 | + | 0.639693i | ||||
\(885\) | 15.6724 | + | 25.0612i | 0.526823 | + | 0.842424i | ||||
\(886\) | −12.5152 | + | 21.6769i | −0.420456 | + | 0.728251i | ||||
\(887\) | 10.3810 | − | 38.7423i | 0.348559 | − | 1.30084i | −0.539841 | − | 0.841767i | \(-0.681516\pi\) |
0.888399 | − | 0.459071i | \(-0.151818\pi\) | |||||||
\(888\) | −23.5187 | − | 35.6621i | −0.789235 | − | 1.19674i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 15.9062 | + | 4.67658i | 0.533177 | + | 0.156759i | ||||
\(891\) | 30.7140 | + | 9.02964i | 1.02896 | + | 0.302504i | ||||
\(892\) | −13.7558 | − | 51.3373i | −0.460578 | − | 1.71890i | ||||
\(893\) | −0.287921 | − | 1.07454i | −0.00963492 | − | 0.0359580i | ||||
\(894\) | 23.7210 | + | 71.2902i | 0.793350 | + | 2.38430i | ||||
\(895\) | 41.5189 | − | 22.6521i | 1.38783 | − | 0.757175i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.68237 | + | 4.40693i | −0.223118 | + | 0.147143i | ||||
\(898\) | −4.23121 | + | 15.7911i | −0.141197 | + | 0.526956i | ||||
\(899\) | −1.78753 | + | 3.09609i | −0.0596175 | + | 0.103260i | ||||
\(900\) | 4.17660 | + | 59.1218i | 0.139220 | + | 1.97073i | ||||
\(901\) | 4.82009 | + | 8.34865i | 0.160581 | + | 0.278134i | ||||
\(902\) | −62.0193 | − | 62.0193i | −2.06502 | − | 2.06502i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 53.7313i | 1.78707i | ||||||||
\(905\) | −42.8043 | − | 26.1113i | −1.42286 | − | 0.867969i | ||||
\(906\) | −55.8403 | + | 62.9039i | −1.85517 | + | 2.08984i | ||||
\(907\) | −1.47441 | − | 5.50258i | −0.0489570 | − | 0.182710i | 0.937118 | − | 0.349014i | \(-0.113483\pi\) |
−0.986075 | + | 0.166304i | \(0.946817\pi\) | |||||||
\(908\) | 8.43312 | + | 2.25965i | 0.279863 | + | 0.0749891i | ||||
\(909\) | 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 | \(0.939370\pi\) | |||||||
\(912\) | 1.10193 | − | 2.20092i | 0.0364887 | − | 0.0728798i | ||||
\(913\) | 4.73264 | − | 1.26811i | 0.156627 | − | 0.0419682i | ||||
\(914\) | −37.7468 | + | 65.3794i | −1.24855 | + | 2.16256i | ||||
\(915\) | 42.2649 | − | 1.49102i | 1.39723 | − | 0.0492916i | ||||
\(916\) | 100.772 | 3.32962 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −38.1821 | + | 6.87889i | −1.26020 | + | 0.227037i | ||||
\(919\) | 32.2477 | − | 18.6182i | 1.06375 | − | 0.614158i | 0.137285 | − | 0.990532i | \(-0.456162\pi\) |
0.926468 | + | 0.376374i | \(0.122829\pi\) | |||||||
\(920\) | 27.0798 | + | 0.654174i | 0.892794 | + | 0.0215675i | ||||
\(921\) | −17.1378 | − | 15.2134i | −0.564710 | − | 0.501297i | ||||
\(922\) | −82.8101 | − | 22.1889i | −2.72721 | − | 0.730753i | ||||
\(923\) | 3.93806 | − | 3.93806i | 0.129623 | − | 0.129623i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.48894 | + | 25.3182i | 0.180475 | + | 0.832458i | ||||
\(926\) | 10.5041 | − | 6.06454i | 0.345186 | − | 0.199293i | ||||
\(927\) | −2.07696 | + | 14.4284i | −0.0682162 | + | 0.473890i | ||||
\(928\) | 2.50295 | − | 0.670665i | 0.0821635 | − | 0.0220156i | ||||
\(929\) | 1.75415 | + | 3.03828i | 0.0575519 | + | 0.0996828i | 0.893366 | − | 0.449330i | \(-0.148337\pi\) |
−0.835814 | + | 0.549013i | \(0.815004\pi\) | |||||||
\(930\) | −5.85393 | + | 1.79201i | −0.191958 | + | 0.0587623i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 72.1078 | + | 72.1078i | 2.36197 | + | 2.36197i | ||||
\(933\) | 2.11375 | − | 4.22185i | 0.0692010 | − | 0.138217i | ||||
\(934\) | −65.5614 | − | 37.8519i | −2.14523 | − | 1.23855i | ||||
\(935\) | 16.7930 | + | 17.6244i | 0.549188 | + | 0.576379i | ||||
\(936\) | 25.7509 | − | 3.07452i | 0.841696 | − | 0.100494i | ||||
\(937\) | 8.69968 | − | 8.69968i | 0.284206 | − | 0.284206i | −0.550578 | − | 0.834784i | \(-0.685593\pi\) |
0.834784 | + | 0.550578i | \(0.185593\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 43.9698 | + | 9.02227i | 1.43490 | + | 0.294431i | ||||
\(940\) | −24.9392 | + | 6.04087i | −0.813427 | + | 0.197031i | ||||
\(941\) | −36.0321 | − | 20.8032i | −1.17461 | − | 0.678164i | −0.219851 | − | 0.975533i | \(-0.570557\pi\) |
−0.954762 | + | 0.297370i | \(0.903891\pi\) | |||||||
\(942\) | −2.59360 | − | 43.6001i | −0.0845040 | − | 1.42057i | ||||
\(943\) | −6.65734 | + | 24.8455i | −0.216793 | + | 0.809081i | ||||
\(944\) | −28.3147 | −0.921564 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.11402 | 0.133758 | ||||||||
\(947\) | −14.2483 | + | 53.1753i | −0.463007 | + | 1.72796i | 0.200408 | + | 0.979712i | \(0.435773\pi\) |
−0.663415 | + | 0.748252i | \(0.730894\pi\) | |||||||
\(948\) | 1.50756 | + | 25.3431i | 0.0489632 | + | 0.823105i | ||||
\(949\) | 5.16324 | + | 2.98100i | 0.167606 | + | 0.0967673i | ||||
\(950\) | −3.45934 | + | 3.14030i | −0.112236 | + | 0.101885i | ||||
\(951\) | 7.99984 | + | 1.64151i | 0.259413 | + | 0.0532295i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.2607 | + | 19.2607i | −0.623916 | + | 0.623916i | −0.946531 | − | 0.322614i | \(-0.895438\pi\) |
0.322614 | + | 0.946531i | \(0.395438\pi\) | |||||||
\(954\) | 22.8891 | − | 2.73284i | 0.741064 | − | 0.0884789i | ||||
\(955\) | 42.2528 | + | 1.02071i | 1.36727 | + | 0.0330295i | ||||
\(956\) | 18.3138 | + | 10.5735i | 0.592311 | + | 0.341971i | ||||
\(957\) | 15.2185 | − | 30.3962i | 0.491943 | − | 0.982571i | ||||
\(958\) | 25.1988 | + | 25.1988i | 0.814137 | + | 0.814137i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 29.2975 | + | 15.5644i | 0.945573 | + | 0.502337i | ||||
\(961\) | 15.2901 | + | 26.4832i | 0.493228 | + | 0.854296i | ||||
\(962\) | 22.1721 | − | 5.94100i | 0.714857 | − | 0.191545i | ||||
\(963\) | −4.60575 | + | 31.9956i | −0.148418 | + | 1.03104i | ||||
\(964\) | −27.5368 | + | 15.8984i | −0.886902 | + | 0.512053i | ||||
\(965\) | −33.0304 | − | 9.71126i | −1.06329 | − | 0.312616i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.3993 | − | 30.3993i | 0.977576 | − | 0.977576i | −0.0221785 | − | 0.999754i | \(-0.507060\pi\) |
0.999754 | + | 0.0221785i | \(0.00706020\pi\) | |||||||
\(968\) | 7.60007 | + | 2.03643i | 0.244275 | + | 0.0654534i | ||||
\(969\) | −1.51852 | − | 1.34800i | −0.0487818 | − | 0.0433040i | ||||
\(970\) | −1.92711 | + | 79.7735i | −0.0618758 | + | 2.56137i | ||||
\(971\) | −3.05677 | + | 1.76483i | −0.0980965 | + | 0.0566360i | −0.548246 | − | 0.836317i | \(-0.684704\pi\) |
0.450149 | + | 0.892953i | \(0.351371\pi\) | |||||||
\(972\) | −13.8333 | + | 60.0208i | −0.443702 | + | 1.92517i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.03836 | −0.129397 | ||||||||
\(975\) | −15.2356 | − | 3.90147i | −0.487930 | − | 0.124947i | ||||
\(976\) | −20.2559 | + | 35.0843i | −0.648377 | + | 1.12302i | ||||
\(977\) | −38.6793 | + | 10.3641i | −1.23746 | + | 0.331577i | −0.817480 | − | 0.575957i | \(-0.804630\pi\) |
−0.419980 | + | 0.907533i | \(0.637963\pi\) | |||||||
\(978\) | 37.8370 | − | 75.5728i | 1.20989 | − | 2.41655i | ||||
\(979\) | − | 10.8112i | − | 0.345528i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 28.1559 | + | 12.0626i | 0.898948 | + | 0.385131i | ||||
\(982\) | −77.0186 | − | 20.6371i | −2.45776 | − | 0.658556i | ||||
\(983\) | −9.56912 | − | 35.7125i | −0.305208 | − | 1.13905i | −0.932766 | − | 0.360481i | \(-0.882612\pi\) |
0.627559 | − | 0.778569i | \(-0.284054\pi\) | |||||||
\(984\) | 55.3235 | − | 62.3217i | 1.76365 | − | 1.98674i | ||||
\(985\) | −0.433403 | − | 1.78926i | −0.0138094 | − | 0.0570107i | ||||
\(986\) | 41.1954i | 1.31193i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.94348 | + | 1.94348i | 0.0618304 | + | 0.0618304i | ||||
\(989\) | −0.603252 | − | 1.04486i | −0.0191823 | − | 0.0332247i | ||||
\(990\) | 54.5515 | − | 20.3143i | 1.73376 | − | 0.645632i | ||||
\(991\) | 20.0560 | − | 34.7381i | 0.637101 | − | 1.10349i | −0.348964 | − | 0.937136i | \(-0.613467\pi\) |
0.986066 | − | 0.166356i | \(-0.0532001\pi\) | |||||||
\(992\) | −0.0787622 | + | 0.293945i | −0.00250070 | + | 0.00933275i | ||||
\(993\) | −14.6215 | + | 9.64268i | −0.464000 | + | 0.306001i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.95118 | − | 9.07501i | −0.156963 | − | 0.287697i | ||||
\(996\) | 2.97621 | + | 8.94460i | 0.0943050 | + | 0.283420i | ||||
\(997\) | −9.50542 | − | 35.4747i | −0.301040 | − | 1.12350i | −0.936301 | − | 0.351198i | \(-0.885774\pi\) |
0.635261 | − | 0.772297i | \(-0.280892\pi\) | |||||||
\(998\) | −12.7351 | − | 47.5282i | −0.403124 | − | 1.50448i | ||||
\(999\) | −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 \(a_p\))