Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.2 | ||
Character | \(\chi\) | \(=\) | 966.127 |
Dual form | 966.2.q.j.715.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0.142315 | − | 0.989821i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | −0.571809 | + | 0.167898i | −0.255721 | + | 0.0750865i | −0.407080 | − | 0.913392i | \(-0.633453\pi\) |
0.151359 | + | 0.988479i | \(0.451635\pi\) | |||||||
\(6\) | −0.415415 | − | 0.909632i | −0.169592 | − | 0.371356i | ||||
\(7\) | 0.654861 | + | 0.755750i | 0.247514 | + | 0.285646i | ||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −0.390264 | + | 0.450389i | −0.123412 | + | 0.142425i | ||||
\(11\) | 4.17617 | + | 2.68386i | 1.25916 | + | 0.809215i | 0.988169 | − | 0.153366i | \(-0.0490114\pi\) |
0.270994 | + | 0.962581i | \(0.412648\pi\) | |||||||
\(12\) | −0.841254 | − | 0.540641i | −0.242849 | − | 0.156070i | ||||
\(13\) | 3.61121 | − | 4.16756i | 1.00157 | − | 1.15587i | 0.0138077 | − | 0.999905i | \(-0.495605\pi\) |
0.987762 | − | 0.155968i | \(-0.0498498\pi\) | |||||||
\(14\) | 0.959493 | + | 0.281733i | 0.256435 | + | 0.0752962i | ||||
\(15\) | 0.0848125 | + | 0.589884i | 0.0218985 | + | 0.152307i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 2.08713 | + | 4.57018i | 0.506204 | + | 1.10843i | 0.974403 | + | 0.224809i | \(0.0721757\pi\) |
−0.468199 | + | 0.883623i | \(0.655097\pi\) | |||||||
\(18\) | −0.959493 | + | 0.281733i | −0.226155 | + | 0.0664050i | ||||
\(19\) | 1.40377 | − | 3.07384i | 0.322048 | − | 0.705186i | −0.677492 | − | 0.735530i | \(-0.736933\pi\) |
0.999540 | + | 0.0303440i | \(0.00966027\pi\) | |||||||
\(20\) | −0.0848125 | + | 0.589884i | −0.0189646 | + | 0.131902i | ||||
\(21\) | 0.841254 | − | 0.540641i | 0.183577 | − | 0.117977i | ||||
\(22\) | 4.96422 | 1.05838 | ||||||||
\(23\) | 1.27448 | − | 4.62339i | 0.265748 | − | 0.964043i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −3.90749 | + | 2.51119i | −0.781498 | + | 0.502238i | ||||
\(26\) | 0.784791 | − | 5.45834i | 0.153910 | − | 1.07047i | ||||
\(27\) | −0.415415 | + | 0.909632i | −0.0799467 | + | 0.175059i | ||||
\(28\) | 0.959493 | − | 0.281733i | 0.181327 | − | 0.0532424i | ||||
\(29\) | −2.62746 | − | 5.75333i | −0.487907 | − | 1.06837i | −0.980213 | − | 0.197945i | \(-0.936573\pi\) |
0.492306 | − | 0.870422i | \(-0.336154\pi\) | |||||||
\(30\) | 0.390264 | + | 0.450389i | 0.0712521 | + | 0.0822293i | ||||
\(31\) | −1.02851 | − | 7.15347i | −0.184726 | − | 1.28480i | −0.845403 | − | 0.534129i | \(-0.820639\pi\) |
0.660676 | − | 0.750671i | \(-0.270270\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | 3.25088 | − | 3.75171i | 0.565905 | − | 0.653089i | ||||
\(34\) | 4.22663 | + | 2.71629i | 0.724862 | + | 0.465840i | ||||
\(35\) | −0.501345 | − | 0.322195i | −0.0847427 | − | 0.0544608i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | −7.67790 | − | 2.25444i | −1.26224 | − | 0.370627i | −0.418912 | − | 0.908027i | \(-0.637588\pi\) |
−0.843328 | + | 0.537400i | \(0.819407\pi\) | |||||||
\(38\) | −0.480912 | − | 3.34481i | −0.0780142 | − | 0.542600i | ||||
\(39\) | −3.61121 | − | 4.16756i | −0.578257 | − | 0.667344i | ||||
\(40\) | 0.247566 | + | 0.542095i | 0.0391437 | + | 0.0857127i | ||||
\(41\) | 7.38458 | − | 2.16831i | 1.15328 | − | 0.338633i | 0.351460 | − | 0.936203i | \(-0.385685\pi\) |
0.801817 | + | 0.597570i | \(0.203867\pi\) | |||||||
\(42\) | 0.415415 | − | 0.909632i | 0.0640999 | − | 0.140359i | ||||
\(43\) | −1.41410 | + | 9.83527i | −0.215648 | + | 1.49986i | 0.538201 | + | 0.842816i | \(0.319104\pi\) |
−0.753849 | + | 0.657048i | \(0.771805\pi\) | |||||||
\(44\) | 4.17617 | − | 2.68386i | 0.629581 | − | 0.404607i | ||||
\(45\) | 0.595950 | 0.0888389 | ||||||||
\(46\) | −1.42743 | − | 4.57848i | −0.210463 | − | 0.675060i | ||||
\(47\) | 2.37081 | 0.345818 | 0.172909 | − | 0.984938i | \(-0.444683\pi\) | ||||
0.172909 | + | 0.984938i | \(0.444683\pi\) | |||||||
\(48\) | −0.841254 | + | 0.540641i | −0.121424 | + | 0.0780348i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | −1.92954 | + | 4.22510i | −0.272878 | + | 0.597519i | ||||
\(51\) | 4.82069 | − | 1.41548i | 0.675032 | − | 0.198207i | ||||
\(52\) | −2.29079 | − | 5.01614i | −0.317676 | − | 0.695613i | ||||
\(53\) | 0.850524 | + | 0.981557i | 0.116828 | + | 0.134827i | 0.811151 | − | 0.584837i | \(-0.198841\pi\) |
−0.694323 | + | 0.719664i | \(0.744296\pi\) | |||||||
\(54\) | 0.142315 | + | 0.989821i | 0.0193666 | + | 0.134698i | ||||
\(55\) | −2.83859 | − | 0.833485i | −0.382755 | − | 0.112387i | ||||
\(56\) | 0.654861 | − | 0.755750i | 0.0875094 | − | 0.100991i | ||||
\(57\) | −2.84277 | − | 1.82694i | −0.376534 | − | 0.241984i | ||||
\(58\) | −5.32085 | − | 3.41950i | −0.698661 | − | 0.449002i | ||||
\(59\) | 0.525331 | − | 0.606265i | 0.0683923 | − | 0.0789289i | −0.720522 | − | 0.693432i | \(-0.756098\pi\) |
0.788915 | + | 0.614503i | \(0.210643\pi\) | |||||||
\(60\) | 0.571809 | + | 0.167898i | 0.0738203 | + | 0.0216756i | ||||
\(61\) | 1.45105 | + | 10.0923i | 0.185788 | + | 1.29218i | 0.842768 | + | 0.538276i | \(0.180924\pi\) |
−0.656981 | + | 0.753908i | \(0.728167\pi\) | |||||||
\(62\) | −4.73270 | − | 5.46182i | −0.601053 | − | 0.693652i | ||||
\(63\) | −0.415415 | − | 0.909632i | −0.0523374 | − | 0.114603i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −1.36520 | + | 2.98937i | −0.169332 | + | 0.370785i | ||||
\(66\) | 0.706483 | − | 4.91370i | 0.0869620 | − | 0.604834i | ||||
\(67\) | −4.11633 | + | 2.64541i | −0.502890 | + | 0.323188i | −0.767371 | − | 0.641203i | \(-0.778436\pi\) |
0.264481 | + | 0.964391i | \(0.414799\pi\) | |||||||
\(68\) | 5.02421 | 0.609275 | ||||||||
\(69\) | −4.39495 | − | 1.91949i | −0.529090 | − | 0.231079i | ||||
\(70\) | −0.595950 | −0.0712296 | ||||||||
\(71\) | 7.36176 | − | 4.73111i | 0.873680 | − | 0.561480i | −0.0251965 | − | 0.999683i | \(-0.508021\pi\) |
0.898876 | + | 0.438203i | \(0.144385\pi\) | |||||||
\(72\) | −0.142315 | + | 0.989821i | −0.0167720 | + | 0.116652i | ||||
\(73\) | 0.943910 | − | 2.06687i | 0.110476 | − | 0.241909i | −0.846316 | − | 0.532681i | \(-0.821185\pi\) |
0.956793 | + | 0.290771i | \(0.0939119\pi\) | |||||||
\(74\) | −7.67790 | + | 2.25444i | −0.892538 | + | 0.262073i | ||||
\(75\) | 1.92954 | + | 4.22510i | 0.222804 | + | 0.487872i | ||||
\(76\) | −2.21291 | − | 2.55384i | −0.253838 | − | 0.292945i | ||||
\(77\) | 0.706483 | + | 4.91370i | 0.0805112 | + | 0.559968i | ||||
\(78\) | −5.29110 | − | 1.55361i | −0.599099 | − | 0.175911i | ||||
\(79\) | −6.49440 | + | 7.49494i | −0.730677 | + | 0.843246i | −0.992548 | − | 0.121857i | \(-0.961115\pi\) |
0.261870 | + | 0.965103i | \(0.415661\pi\) | |||||||
\(80\) | 0.501345 | + | 0.322195i | 0.0560520 | + | 0.0360225i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | 5.04003 | − | 5.81650i | 0.556578 | − | 0.642325i | ||||
\(83\) | −4.53093 | − | 1.33040i | −0.497334 | − | 0.146030i | 0.0234398 | − | 0.999725i | \(-0.492538\pi\) |
−0.520773 | + | 0.853695i | \(0.674356\pi\) | |||||||
\(84\) | −0.142315 | − | 0.989821i | −0.0155278 | − | 0.107998i | ||||
\(85\) | −1.96077 | − | 2.26285i | −0.212675 | − | 0.245440i | ||||
\(86\) | 4.12773 | + | 9.03847i | 0.445105 | + | 0.974643i | ||||
\(87\) | −6.06870 | + | 1.78193i | −0.650633 | + | 0.191043i | ||||
\(88\) | 2.06221 | − | 4.51562i | 0.219833 | − | 0.481366i | ||||
\(89\) | −2.41217 | + | 16.7770i | −0.255690 | + | 1.77836i | 0.307014 | + | 0.951705i | \(0.400670\pi\) |
−0.562704 | + | 0.826658i | \(0.690239\pi\) | |||||||
\(90\) | 0.501345 | − | 0.322195i | 0.0528464 | − | 0.0339623i | ||||
\(91\) | 5.51447 | 0.578074 | ||||||||
\(92\) | −3.67614 | − | 3.07993i | −0.383264 | − | 0.321105i | ||||
\(93\) | −7.22703 | −0.749408 | ||||||||
\(94\) | 1.99445 | − | 1.28175i | 0.205712 | − | 0.132203i | ||||
\(95\) | −0.286599 | + | 1.99334i | −0.0294044 | + | 0.204512i | ||||
\(96\) | −0.415415 | + | 0.909632i | −0.0423981 | + | 0.0928389i | ||||
\(97\) | 13.5830 | − | 3.98831i | 1.37914 | − | 0.404952i | 0.493670 | − | 0.869649i | \(-0.335655\pi\) |
0.885470 | + | 0.464697i | \(0.153837\pi\) | |||||||
\(98\) | 0.415415 | + | 0.909632i | 0.0419633 | + | 0.0918867i | ||||
\(99\) | −3.25088 | − | 3.75171i | −0.326725 | − | 0.377061i | ||||
\(100\) | 0.661030 | + | 4.59757i | 0.0661030 | + | 0.459757i | ||||
\(101\) | 6.44240 | + | 1.89166i | 0.641043 | + | 0.188227i | 0.586070 | − | 0.810261i | \(-0.300674\pi\) |
0.0549732 | + | 0.998488i | \(0.482493\pi\) | |||||||
\(102\) | 3.29016 | − | 3.79704i | 0.325774 | − | 0.375963i | ||||
\(103\) | −0.659831 | − | 0.424048i | −0.0650151 | − | 0.0417826i | 0.507729 | − | 0.861517i | \(-0.330485\pi\) |
−0.572745 | + | 0.819734i | \(0.694121\pi\) | |||||||
\(104\) | −4.63907 | − | 2.98135i | −0.454898 | − | 0.292345i | ||||
\(105\) | −0.390264 | + | 0.450389i | −0.0380859 | + | 0.0439534i | ||||
\(106\) | 1.24618 | + | 0.365910i | 0.121039 | + | 0.0355404i | ||||
\(107\) | 0.292755 | + | 2.03616i | 0.0283017 | + | 0.196843i | 0.999067 | − | 0.0431882i | \(-0.0137515\pi\) |
−0.970765 | + | 0.240031i | \(0.922842\pi\) | |||||||
\(108\) | 0.654861 | + | 0.755750i | 0.0630140 | + | 0.0727220i | ||||
\(109\) | −3.97873 | − | 8.71219i | −0.381093 | − | 0.834477i | −0.998842 | − | 0.0481020i | \(-0.984683\pi\) |
0.617750 | − | 0.786375i | \(-0.288045\pi\) | |||||||
\(110\) | −2.83859 | + | 0.833485i | −0.270649 | + | 0.0794697i | ||||
\(111\) | −3.32417 | + | 7.27891i | −0.315516 | + | 0.690884i | ||||
\(112\) | 0.142315 | − | 0.989821i | 0.0134475 | − | 0.0935293i | ||||
\(113\) | 11.0577 | − | 7.10636i | 1.04022 | − | 0.668510i | 0.0951800 | − | 0.995460i | \(-0.469657\pi\) |
0.945042 | + | 0.326950i | \(0.106021\pi\) | |||||||
\(114\) | −3.37921 | −0.316492 | ||||||||
\(115\) | 0.0474988 | + | 2.85768i | 0.00442928 | + | 0.266480i | ||||
\(116\) | −6.32490 | −0.587252 | ||||||||
\(117\) | −4.63907 | + | 2.98135i | −0.428882 | + | 0.275626i | ||||
\(118\) | 0.114165 | − | 0.794038i | 0.0105098 | − | 0.0730971i | ||||
\(119\) | −2.08713 | + | 4.57018i | −0.191327 | + | 0.418948i | ||||
\(120\) | 0.571809 | − | 0.167898i | 0.0521988 | − | 0.0153270i | ||||
\(121\) | 5.66772 | + | 12.4106i | 0.515248 | + | 1.12823i | ||||
\(122\) | 6.67700 | + | 7.70567i | 0.604507 | + | 0.697638i | ||||
\(123\) | −1.09530 | − | 7.61800i | −0.0987601 | − | 0.686891i | ||||
\(124\) | −6.93428 | − | 2.03609i | −0.622717 | − | 0.182846i | ||||
\(125\) | 3.76404 | − | 4.34393i | 0.336666 | − | 0.388533i | ||||
\(126\) | −0.841254 | − | 0.540641i | −0.0749448 | − | 0.0481641i | ||||
\(127\) | 9.13333 | + | 5.86963i | 0.810452 | + | 0.520846i | 0.879011 | − | 0.476801i | \(-0.158204\pi\) |
−0.0685592 | + | 0.997647i | \(0.521840\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | 9.53391 | + | 2.79941i | 0.839414 | + | 0.246474i | ||||
\(130\) | 0.467696 | + | 3.25290i | 0.0410197 | + | 0.285298i | ||||
\(131\) | −1.37847 | − | 1.59084i | −0.120438 | − | 0.138992i | 0.692329 | − | 0.721582i | \(-0.256585\pi\) |
−0.812766 | + | 0.582590i | \(0.802039\pi\) | |||||||
\(132\) | −2.06221 | − | 4.51562i | −0.179493 | − | 0.393034i | ||||
\(133\) | 3.24233 | − | 0.952033i | 0.281145 | − | 0.0825517i | ||||
\(134\) | −2.03267 | + | 4.45092i | −0.175596 | + | 0.384501i | ||||
\(135\) | 0.0848125 | − | 0.589884i | 0.00729950 | − | 0.0507691i | ||||
\(136\) | 4.22663 | − | 2.71629i | 0.362431 | − | 0.232920i | ||||
\(137\) | −9.74162 | −0.832283 | −0.416141 | − | 0.909300i | \(-0.636618\pi\) | ||||
−0.416141 | + | 0.909300i | \(0.636618\pi\) | |||||||
\(138\) | −4.73502 | + | 0.761315i | −0.403072 | + | 0.0648074i | ||||
\(139\) | −19.7784 | −1.67758 | −0.838790 | − | 0.544455i | \(-0.816737\pi\) | ||||
−0.838790 | + | 0.544455i | \(0.816737\pi\) | |||||||
\(140\) | −0.501345 | + | 0.322195i | −0.0423714 | + | 0.0272304i | ||||
\(141\) | 0.337401 | − | 2.34667i | 0.0284143 | − | 0.197626i | ||||
\(142\) | 3.63527 | − | 7.96013i | 0.305065 | − | 0.667999i | ||||
\(143\) | 26.2662 | − | 7.71245i | 2.19649 | − | 0.644947i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | 2.46838 | + | 2.84866i | 0.204988 | + | 0.236569i | ||||
\(146\) | −0.323369 | − | 2.24908i | −0.0267622 | − | 0.186135i | ||||
\(147\) | 0.959493 | + | 0.281733i | 0.0791376 | + | 0.0232369i | ||||
\(148\) | −5.24022 | + | 6.04754i | −0.430744 | + | 0.497105i | ||||
\(149\) | −3.25452 | − | 2.09155i | −0.266621 | − | 0.171347i | 0.400499 | − | 0.916297i | \(-0.368837\pi\) |
−0.667120 | + | 0.744950i | \(0.732473\pi\) | |||||||
\(150\) | 3.90749 | + | 2.51119i | 0.319045 | + | 0.205038i | ||||
\(151\) | −11.6059 | + | 13.3939i | −0.944473 | + | 1.08998i | 0.0513500 | + | 0.998681i | \(0.483648\pi\) |
−0.995823 | + | 0.0912998i | \(0.970898\pi\) | |||||||
\(152\) | −3.24233 | − | 0.952033i | −0.262987 | − | 0.0772201i | ||||
\(153\) | −0.715019 | − | 4.97307i | −0.0578059 | − | 0.402049i | ||||
\(154\) | 3.25088 | + | 3.75171i | 0.261963 | + | 0.302321i | ||||
\(155\) | 1.78917 | + | 3.91773i | 0.143710 | + | 0.314680i | ||||
\(156\) | −5.29110 | + | 1.55361i | −0.423627 | + | 0.124388i | ||||
\(157\) | 3.66912 | − | 8.03425i | 0.292828 | − | 0.641203i | −0.704847 | − | 0.709359i | \(-0.748984\pi\) |
0.997675 | + | 0.0681563i | \(0.0217116\pi\) | |||||||
\(158\) | −1.41137 | + | 9.81628i | −0.112282 | + | 0.780941i | ||||
\(159\) | 1.09261 | − | 0.702177i | 0.0866495 | − | 0.0556862i | ||||
\(160\) | 0.595950 | 0.0471140 | ||||||||
\(161\) | 4.32873 | − | 2.06449i | 0.341152 | − | 0.162704i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −16.2333 | + | 10.4325i | −1.27149 | + | 0.817137i | −0.989813 | − | 0.142372i | \(-0.954527\pi\) |
−0.281677 | + | 0.959509i | \(0.590891\pi\) | |||||||
\(164\) | 1.09530 | − | 7.61800i | 0.0855287 | − | 0.594865i | ||||
\(165\) | −1.22898 | + | 2.69108i | −0.0956756 | + | 0.209500i | ||||
\(166\) | −4.53093 | + | 1.33040i | −0.351668 | + | 0.103259i | ||||
\(167\) | 9.92634 | + | 21.7357i | 0.768124 | + | 1.68196i | 0.730741 | + | 0.682655i | \(0.239175\pi\) |
0.0373829 | + | 0.999301i | \(0.488098\pi\) | |||||||
\(168\) | −0.654861 | − | 0.755750i | −0.0505236 | − | 0.0583073i | ||||
\(169\) | −2.47762 | − | 17.2322i | −0.190586 | − | 1.32555i | ||||
\(170\) | −2.87289 | − | 0.843557i | −0.220341 | − | 0.0646978i | ||||
\(171\) | −2.21291 | + | 2.55384i | −0.169226 | + | 0.195297i | ||||
\(172\) | 8.35904 | + | 5.37203i | 0.637370 | + | 0.409613i | ||||
\(173\) | 4.99026 | + | 3.20704i | 0.379402 | + | 0.243827i | 0.716417 | − | 0.697672i | \(-0.245781\pi\) |
−0.337015 | + | 0.941499i | \(0.609417\pi\) | |||||||
\(174\) | −4.14193 | + | 4.78004i | −0.313999 | + | 0.362374i | ||||
\(175\) | −4.45670 | − | 1.30860i | −0.336894 | − | 0.0989211i | ||||
\(176\) | −0.706483 | − | 4.91370i | −0.0532531 | − | 0.370384i | ||||
\(177\) | −0.525331 | − | 0.606265i | −0.0394863 | − | 0.0455696i | ||||
\(178\) | 7.04110 | + | 15.4179i | 0.527753 | + | 1.15562i | ||||
\(179\) | −16.7125 | + | 4.90724i | −1.24915 | + | 0.366784i | −0.838447 | − | 0.544983i | \(-0.816536\pi\) |
−0.410706 | + | 0.911768i | \(0.634718\pi\) | |||||||
\(180\) | 0.247566 | − | 0.542095i | 0.0184525 | − | 0.0404054i | ||||
\(181\) | −0.368391 | + | 2.56221i | −0.0273823 | + | 0.190448i | −0.998922 | − | 0.0464309i | \(-0.985215\pi\) |
0.971539 | + | 0.236879i | \(0.0761244\pi\) | |||||||
\(182\) | 4.63907 | − | 2.98135i | 0.343871 | − | 0.220992i | ||||
\(183\) | 10.1961 | 0.753714 | ||||||||
\(184\) | −4.75770 | − | 0.603532i | −0.350743 | − | 0.0444930i | ||||
\(185\) | 4.76881 | 0.350610 | ||||||||
\(186\) | −6.07976 | + | 3.90723i | −0.445790 | + | 0.286492i | ||||
\(187\) | −3.54952 | + | 24.6874i | −0.259566 | + | 1.80532i | ||||
\(188\) | 0.984869 | − | 2.15656i | 0.0718289 | − | 0.157283i | ||||
\(189\) | −0.959493 | + | 0.281733i | −0.0697928 | + | 0.0204930i | ||||
\(190\) | 0.836579 | + | 1.83185i | 0.0606918 | + | 0.132897i | ||||
\(191\) | −1.80784 | − | 2.08636i | −0.130811 | − | 0.150964i | 0.686565 | − | 0.727068i | \(-0.259118\pi\) |
−0.817376 | + | 0.576104i | \(0.804572\pi\) | |||||||
\(192\) | 0.142315 | + | 0.989821i | 0.0102707 | + | 0.0714342i | ||||
\(193\) | 4.28942 | + | 1.25949i | 0.308760 | + | 0.0906600i | 0.432442 | − | 0.901662i | \(-0.357652\pi\) |
−0.123682 | + | 0.992322i | \(0.539470\pi\) | |||||||
\(194\) | 9.27046 | − | 10.6987i | 0.665580 | − | 0.768121i | ||||
\(195\) | 2.76465 | + | 1.77673i | 0.197981 | + | 0.127235i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | −2.08351 | + | 2.40449i | −0.148444 | + | 0.171313i | −0.825102 | − | 0.564984i | \(-0.808882\pi\) |
0.676658 | + | 0.736298i | \(0.263428\pi\) | |||||||
\(198\) | −4.76314 | − | 1.39858i | −0.338501 | − | 0.0993930i | ||||
\(199\) | 1.23422 | + | 8.58421i | 0.0874917 | + | 0.608518i | 0.985644 | + | 0.168835i | \(0.0540004\pi\) |
−0.898153 | + | 0.439684i | \(0.855091\pi\) | |||||||
\(200\) | 3.04173 | + | 3.51034i | 0.215083 | + | 0.248218i | ||||
\(201\) | 2.03267 | + | 4.45092i | 0.143373 | + | 0.313943i | ||||
\(202\) | 6.44240 | − | 1.89166i | 0.453286 | − | 0.133097i | ||||
\(203\) | 2.62746 | − | 5.75333i | 0.184411 | − | 0.403805i | ||||
\(204\) | 0.715019 | − | 4.97307i | 0.0500614 | − | 0.348184i | ||||
\(205\) | −3.85852 | + | 2.47972i | −0.269490 | + | 0.173191i | ||||
\(206\) | −0.784342 | −0.0546477 | ||||||||
\(207\) | −2.52541 | + | 4.07704i | −0.175528 | + | 0.283374i | ||||
\(208\) | −5.51447 | −0.382360 | ||||||||
\(209\) | 14.1122 | − | 9.06933i | 0.976158 | − | 0.627339i | ||||
\(210\) | −0.0848125 | + | 0.589884i | −0.00585262 | + | 0.0407058i | ||||
\(211\) | −2.11298 | + | 4.62677i | −0.145463 | + | 0.318520i | −0.968313 | − | 0.249738i | \(-0.919655\pi\) |
0.822850 | + | 0.568259i | \(0.192383\pi\) | |||||||
\(212\) | 1.24618 | − | 0.365910i | 0.0855877 | − | 0.0251308i | ||||
\(213\) | −3.63527 | − | 7.96013i | −0.249085 | − | 0.545419i | ||||
\(214\) | 1.34711 | + | 1.55465i | 0.0920866 | + | 0.106274i | ||||
\(215\) | −0.842731 | − | 5.86132i | −0.0574738 | − | 0.399739i | ||||
\(216\) | 0.959493 | + | 0.281733i | 0.0652852 | + | 0.0191695i | ||||
\(217\) | 4.73270 | − | 5.46182i | 0.321276 | − | 0.370773i | ||||
\(218\) | −8.05729 | − | 5.17810i | −0.545708 | − | 0.350705i | ||||
\(219\) | −1.91150 | − | 1.22845i | −0.129167 | − | 0.0830109i | ||||
\(220\) | −1.93736 | + | 2.23583i | −0.130617 | + | 0.150740i | ||||
\(221\) | 26.5836 | + | 7.80564i | 1.78820 | + | 0.525064i | ||||
\(222\) | 1.13881 | + | 7.92059i | 0.0764319 | + | 0.531595i | ||||
\(223\) | −15.0027 | − | 17.3141i | −1.00466 | − | 1.15944i | −0.987184 | − | 0.159589i | \(-0.948983\pi\) |
−0.0174739 | − | 0.999847i | \(-0.505562\pi\) | |||||||
\(224\) | −0.415415 | − | 0.909632i | −0.0277561 | − | 0.0607773i | ||||
\(225\) | 4.45670 | − | 1.30860i | 0.297113 | − | 0.0872403i | ||||
\(226\) | 5.46035 | − | 11.9565i | 0.363217 | − | 0.795334i | ||||
\(227\) | 2.30892 | − | 16.0589i | 0.153248 | − | 1.06587i | −0.757479 | − | 0.652859i | \(-0.773569\pi\) |
0.910728 | − | 0.413007i | \(-0.135522\pi\) | |||||||
\(228\) | −2.84277 | + | 1.82694i | −0.188267 | + | 0.120992i | ||||
\(229\) | 14.0703 | 0.929794 | 0.464897 | − | 0.885365i | \(-0.346091\pi\) | ||||
0.464897 | + | 0.885365i | \(0.346091\pi\) | |||||||
\(230\) | 1.58494 | + | 2.37835i | 0.104508 | + | 0.156824i | ||||
\(231\) | 4.96422 | 0.326622 | ||||||||
\(232\) | −5.32085 | + | 3.41950i | −0.349331 | + | 0.224501i | ||||
\(233\) | −2.83608 | + | 19.7254i | −0.185798 | + | 1.29225i | 0.656946 | + | 0.753937i | \(0.271848\pi\) |
−0.842744 | + | 0.538314i | \(0.819061\pi\) | |||||||
\(234\) | −2.29079 | + | 5.01614i | −0.149754 | + | 0.327915i | ||||
\(235\) | −1.35565 | + | 0.398055i | −0.0884328 | + | 0.0259662i | ||||
\(236\) | −0.333247 | − | 0.729710i | −0.0216925 | − | 0.0475001i | ||||
\(237\) | 6.49440 | + | 7.49494i | 0.421857 | + | 0.486849i | ||||
\(238\) | 0.715019 | + | 4.97307i | 0.0463478 | + | 0.322356i | ||||
\(239\) | 9.00217 | + | 2.64327i | 0.582302 | + | 0.170979i | 0.559600 | − | 0.828763i | \(-0.310955\pi\) |
0.0227020 | + | 0.999742i | \(0.492773\pi\) | |||||||
\(240\) | 0.390264 | − | 0.450389i | 0.0251914 | − | 0.0290725i | ||||
\(241\) | −25.7064 | − | 16.5205i | −1.65590 | − | 1.06418i | −0.923722 | − | 0.383063i | \(-0.874869\pi\) |
−0.732175 | − | 0.681117i | \(-0.761495\pi\) | |||||||
\(242\) | 11.4777 | + | 7.37624i | 0.737812 | + | 0.474163i | ||||
\(243\) | 0.654861 | − | 0.755750i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | 9.78305 | + | 2.87256i | 0.626295 | + | 0.183897i | ||||
\(245\) | −0.0848125 | − | 0.589884i | −0.00541847 | − | 0.0376863i | ||||
\(246\) | −5.04003 | − | 5.81650i | −0.321340 | − | 0.370847i | ||||
\(247\) | −7.74107 | − | 16.9506i | −0.492553 | − | 1.07854i | ||||
\(248\) | −6.93428 | + | 2.03609i | −0.440327 | + | 0.129292i | ||||
\(249\) | −1.96168 | + | 4.29547i | −0.124316 | + | 0.272214i | ||||
\(250\) | 0.818003 | − | 5.68934i | 0.0517351 | − | 0.359825i | ||||
\(251\) | −17.1583 | + | 11.0269i | −1.08302 | + | 0.696015i | −0.955253 | − | 0.295790i | \(-0.904417\pi\) |
−0.127767 | + | 0.991804i | \(0.540781\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | 17.7310 | − | 15.8875i | 1.11474 | − | 0.998840i | ||||
\(254\) | 10.8568 | 0.681217 | ||||||||
\(255\) | −2.51886 | + | 1.61877i | −0.157737 | + | 0.101372i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −1.11427 | + | 2.43990i | −0.0695060 | + | 0.152197i | −0.941196 | − | 0.337860i | \(-0.890297\pi\) |
0.871690 | + | 0.490057i | \(0.163024\pi\) | |||||||
\(258\) | 9.53391 | − | 2.79941i | 0.593555 | − | 0.174284i | ||||
\(259\) | −3.32417 | − | 7.27891i | −0.206554 | − | 0.452290i | ||||
\(260\) | 2.15210 | + | 2.48366i | 0.133468 | + | 0.154030i | ||||
\(261\) | 0.900127 | + | 6.26052i | 0.0557165 | + | 0.387517i | ||||
\(262\) | −2.01972 | − | 0.593042i | −0.124778 | − | 0.0366383i | ||||
\(263\) | −18.8103 | + | 21.7082i | −1.15989 | + | 1.33859i | −0.228942 | + | 0.973440i | \(0.573527\pi\) |
−0.930950 | + | 0.365147i | \(0.881019\pi\) | |||||||
\(264\) | −4.17617 | − | 2.68386i | −0.257026 | − | 0.165180i | ||||
\(265\) | −0.651140 | − | 0.418462i | −0.0399992 | − | 0.0257059i | ||||
\(266\) | 2.21291 | − | 2.55384i | 0.135682 | − | 0.156586i | ||||
\(267\) | 16.2630 | + | 4.77524i | 0.995279 | + | 0.292240i | ||||
\(268\) | 0.696360 | + | 4.84329i | 0.0425370 | + | 0.295851i | ||||
\(269\) | 13.4874 | + | 15.5653i | 0.822341 | + | 0.949033i | 0.999381 | − | 0.0351711i | \(-0.0111976\pi\) |
−0.177040 | + | 0.984204i | \(0.556652\pi\) | |||||||
\(270\) | −0.247566 | − | 0.542095i | −0.0150664 | − | 0.0329908i | ||||
\(271\) | −26.1058 | + | 7.66536i | −1.58582 | + | 0.465637i | −0.951554 | − | 0.307481i | \(-0.900514\pi\) |
−0.634261 | + | 0.773119i | \(0.718696\pi\) | |||||||
\(272\) | 2.08713 | − | 4.57018i | 0.126551 | − | 0.277108i | ||||
\(273\) | 0.784791 | − | 5.45834i | 0.0474977 | − | 0.330354i | ||||
\(274\) | −8.19517 | + | 5.26672i | −0.495089 | + | 0.318174i | ||||
\(275\) | −23.0580 | −1.39045 | ||||||||
\(276\) | −3.57175 | + | 3.20040i | −0.214994 | + | 0.192642i | ||||
\(277\) | −21.1178 | −1.26885 | −0.634424 | − | 0.772985i | \(-0.718763\pi\) | ||||
−0.634424 | + | 0.772985i | \(0.718763\pi\) | |||||||
\(278\) | −16.6386 | + | 10.6930i | −0.997919 | + | 0.641323i | ||||
\(279\) | −1.02851 | + | 7.15347i | −0.0615755 | + | 0.428267i | ||||
\(280\) | −0.247566 | + | 0.542095i | −0.0147949 | + | 0.0323964i | ||||
\(281\) | −16.7433 | + | 4.91629i | −0.998824 | + | 0.293281i | −0.739973 | − | 0.672636i | \(-0.765162\pi\) |
−0.258850 | + | 0.965917i | \(0.583344\pi\) | |||||||
\(282\) | −0.984869 | − | 2.15656i | −0.0586481 | − | 0.128421i | ||||
\(283\) | −2.34101 | − | 2.70167i | −0.139158 | − | 0.160597i | 0.681892 | − | 0.731453i | \(-0.261157\pi\) |
−0.821051 | + | 0.570855i | \(0.806612\pi\) | |||||||
\(284\) | −1.24539 | − | 8.66186i | −0.0739002 | − | 0.513987i | ||||
\(285\) | 1.93226 | + | 0.567364i | 0.114457 | + | 0.0336077i | ||||
\(286\) | 17.9269 | − | 20.6887i | 1.06004 | − | 1.22335i | ||||
\(287\) | 6.47457 | + | 4.16095i | 0.382182 | + | 0.245613i | ||||
\(288\) | 0.841254 | + | 0.540641i | 0.0495713 | + | 0.0318576i | ||||
\(289\) | −5.39780 | + | 6.22939i | −0.317518 | + | 0.366435i | ||||
\(290\) | 3.61664 | + | 1.06194i | 0.212376 | + | 0.0623593i | ||||
\(291\) | −2.01466 | − | 14.0123i | −0.118102 | − | 0.821415i | ||||
\(292\) | −1.48798 | − | 1.71722i | −0.0870775 | − | 0.100493i | ||||
\(293\) | 8.55027 | + | 18.7225i | 0.499512 | + | 1.09378i | 0.976628 | + | 0.214939i | \(0.0689551\pi\) |
−0.477115 | + | 0.878841i | \(0.658318\pi\) | |||||||
\(294\) | 0.959493 | − | 0.281733i | 0.0559588 | − | 0.0164310i | ||||
\(295\) | −0.198599 | + | 0.434870i | −0.0115629 | + | 0.0253191i | ||||
\(296\) | −1.13881 | + | 7.92059i | −0.0661919 | + | 0.460375i | ||||
\(297\) | −4.17617 | + | 2.68386i | −0.242326 | + | 0.155733i | ||||
\(298\) | −3.86866 | −0.224105 | ||||||||
\(299\) | −14.6658 | − | 22.0075i | −0.848146 | − | 1.27273i | ||||
\(300\) | 4.64484 | 0.268170 | ||||||||
\(301\) | −8.35904 | + | 5.37203i | −0.481807 | + | 0.309638i | ||||
\(302\) | −2.52220 | + | 17.5423i | −0.145136 | + | 1.00945i | ||||
\(303\) | 2.78925 | − | 6.10762i | 0.160238 | − | 0.350873i | ||||
\(304\) | −3.24233 | + | 0.952033i | −0.185960 | + | 0.0546028i | ||||
\(305\) | −2.52420 | − | 5.52723i | −0.144535 | − | 0.316488i | ||||
\(306\) | −3.29016 | − | 3.79704i | −0.188086 | − | 0.217063i | ||||
\(307\) | −2.92912 | − | 20.3725i | −0.167174 | − | 1.16272i | −0.884691 | − | 0.466177i | \(-0.845631\pi\) |
0.717518 | − | 0.696540i | \(-0.245278\pi\) | |||||||
\(308\) | 4.76314 | + | 1.39858i | 0.271405 | + | 0.0796917i | ||||
\(309\) | −0.513635 | + | 0.592766i | −0.0292197 | + | 0.0337213i | ||||
\(310\) | 3.62323 | + | 2.32851i | 0.205786 | + | 0.132250i | ||||
\(311\) | −3.62392 | − | 2.32895i | −0.205494 | − | 0.132063i | 0.433846 | − | 0.900987i | \(-0.357156\pi\) |
−0.639340 | + | 0.768924i | \(0.720792\pi\) | |||||||
\(312\) | −3.61121 | + | 4.16756i | −0.204445 | + | 0.235942i | ||||
\(313\) | 7.32655 | + | 2.15127i | 0.414121 | + | 0.121597i | 0.482155 | − | 0.876086i | \(-0.339854\pi\) |
−0.0680336 | + | 0.997683i | \(0.521673\pi\) | |||||||
\(314\) | −1.25698 | − | 8.74252i | −0.0709357 | − | 0.493369i | ||||
\(315\) | 0.390264 | + | 0.450389i | 0.0219889 | + | 0.0253765i | ||||
\(316\) | 4.11976 | + | 9.02103i | 0.231755 | + | 0.507472i | ||||
\(317\) | 29.2862 | − | 8.59920i | 1.64488 | − | 0.482979i | 0.677331 | − | 0.735679i | \(-0.263137\pi\) |
0.967545 | + | 0.252700i | \(0.0813185\pi\) | |||||||
\(318\) | 0.539535 | − | 1.18142i | 0.0302556 | − | 0.0662506i | ||||
\(319\) | 4.46843 | − | 31.0786i | 0.250184 | − | 1.74007i | ||||
\(320\) | 0.501345 | − | 0.322195i | 0.0280260 | − | 0.0180112i | ||||
\(321\) | 2.05710 | 0.114816 | ||||||||
\(322\) | 2.52541 | − | 4.07704i | 0.140736 | − | 0.227205i | ||||
\(323\) | 16.9778 | 0.944673 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | −3.64523 | + | 25.3531i | −0.202201 | + | 1.40634i | ||||
\(326\) | −8.01608 | + | 17.5528i | −0.443970 | + | 0.972158i | ||||
\(327\) | −9.18975 | + | 2.69835i | −0.508194 | + | 0.149219i | ||||
\(328\) | −3.19717 | − | 7.00083i | −0.176534 | − | 0.386556i | ||||
\(329\) | 1.55255 | + | 1.79174i | 0.0855947 | + | 0.0987816i | ||||
\(330\) | 0.421028 | + | 2.92832i | 0.0231768 | + | 0.161198i | ||||
\(331\) | 6.12415 | + | 1.79821i | 0.336614 | + | 0.0988387i | 0.445671 | − | 0.895197i | \(-0.352965\pi\) |
−0.109058 | + | 0.994035i | \(0.534783\pi\) | |||||||
\(332\) | −3.09239 | + | 3.56881i | −0.169717 | + | 0.195864i | ||||
\(333\) | 6.73175 | + | 4.32623i | 0.368897 | + | 0.237076i | ||||
\(334\) | 20.1018 | + | 12.9186i | 1.09992 | + | 0.706875i | ||||
\(335\) | 1.90960 | − | 2.20379i | 0.104333 | − | 0.120406i | ||||
\(336\) | −0.959493 | − | 0.281733i | −0.0523446 | − | 0.0153698i | ||||
\(337\) | 3.18149 | + | 22.1277i | 0.173307 | + | 1.20537i | 0.871838 | + | 0.489795i | \(0.162928\pi\) |
−0.698531 | + | 0.715580i | \(0.746163\pi\) | |||||||
\(338\) | −11.4007 | − | 13.1571i | −0.620118 | − | 0.715654i | ||||
\(339\) | −5.46035 | − | 11.9565i | −0.296565 | − | 0.649388i | ||||
\(340\) | −2.87289 | + | 0.843557i | −0.155804 | + | 0.0457483i | ||||
\(341\) | 14.9037 | − | 32.6345i | 0.807079 | − | 1.76726i | ||||
\(342\) | −0.480912 | + | 3.34481i | −0.0260047 | + | 0.180867i | ||||
\(343\) | −0.841254 | + | 0.540641i | −0.0454234 | + | 0.0291919i | ||||
\(344\) | 9.93640 | 0.535735 | ||||||||
\(345\) | 2.83535 | + | 0.359675i | 0.152650 | + | 0.0193642i | ||||
\(346\) | 5.93193 | 0.318902 | ||||||||
\(347\) | −0.677766 | + | 0.435574i | −0.0363844 | + | 0.0233828i | −0.558707 | − | 0.829365i | \(-0.688702\pi\) |
0.522322 | + | 0.852748i | \(0.325066\pi\) | |||||||
\(348\) | −0.900127 | + | 6.26052i | −0.0482519 | + | 0.335599i | ||||
\(349\) | 1.34185 | − | 2.93824i | 0.0718275 | − | 0.157280i | −0.870313 | − | 0.492500i | \(-0.836083\pi\) |
0.942140 | + | 0.335220i | \(0.108810\pi\) | |||||||
\(350\) | −4.45670 | + | 1.30860i | −0.238220 | + | 0.0699478i | ||||
\(351\) | 2.29079 | + | 5.01614i | 0.122274 | + | 0.267742i | ||||
\(352\) | −3.25088 | − | 3.75171i | −0.173272 | − | 0.199967i | ||||
\(353\) | 0.0228052 | + | 0.158613i | 0.00121380 | + | 0.00844214i | 0.990419 | − | 0.138092i | \(-0.0440971\pi\) |
−0.989206 | + | 0.146535i | \(0.953188\pi\) | |||||||
\(354\) | −0.769708 | − | 0.226007i | −0.0409095 | − | 0.0120121i | ||||
\(355\) | −3.41518 | + | 3.94132i | −0.181259 | + | 0.209184i | ||||
\(356\) | 14.2589 | + | 9.16363i | 0.755719 | + | 0.485671i | ||||
\(357\) | 4.22663 | + | 2.71629i | 0.223697 | + | 0.143761i | ||||
\(358\) | −11.4064 | + | 13.1637i | −0.602848 | + | 0.695724i | ||||
\(359\) | −17.9647 | − | 5.27491i | −0.948141 | − | 0.278399i | −0.229128 | − | 0.973396i | \(-0.573587\pi\) |
−0.719013 | + | 0.694997i | \(0.755406\pi\) | |||||||
\(360\) | −0.0848125 | − | 0.589884i | −0.00447001 | − | 0.0310896i | ||||
\(361\) | 4.96446 | + | 5.72930i | 0.261288 | + | 0.301542i | ||||
\(362\) | 1.07533 | + | 2.35464i | 0.0565179 | + | 0.123757i | ||||
\(363\) | 13.0909 | − | 3.84382i | 0.687092 | − | 0.201748i | ||||
\(364\) | 2.29079 | − | 5.01614i | 0.120070 | − | 0.262917i | ||||
\(365\) | −0.192712 | + | 1.34034i | −0.0100870 | + | 0.0701565i | ||||
\(366\) | 8.57747 | − | 5.51241i | 0.448352 | − | 0.288138i | ||||
\(367\) | 33.5174 | 1.74959 | 0.874797 | − | 0.484490i | \(-0.160995\pi\) | ||||
0.874797 | + | 0.484490i | \(0.160995\pi\) | |||||||
\(368\) | −4.32873 | + | 2.06449i | −0.225651 | + | 0.107619i | ||||
\(369\) | −7.69633 | −0.400655 | ||||||||
\(370\) | 4.01178 | − | 2.57822i | 0.208563 | − | 0.134035i | ||||
\(371\) | −0.184837 | + | 1.28557i | −0.00959624 | + | 0.0667433i | ||||
\(372\) | −3.00222 | + | 6.57393i | −0.155658 | + | 0.340843i | ||||
\(373\) | −1.64645 | + | 0.483440i | −0.0852498 | + | 0.0250316i | −0.324079 | − | 0.946030i | \(-0.605054\pi\) |
0.238830 | + | 0.971062i | \(0.423236\pi\) | |||||||
\(374\) | 10.3610 | + | 22.6874i | 0.535754 | + | 1.17314i | ||||
\(375\) | −3.76404 | − | 4.34393i | −0.194374 | − | 0.224320i | ||||
\(376\) | −0.337401 | − | 2.34667i | −0.0174001 | − | 0.121021i | ||||
\(377\) | −33.4657 | − | 9.82641i | −1.72357 | − | 0.506086i | ||||
\(378\) | −0.654861 | + | 0.755750i | −0.0336824 | + | 0.0388716i | ||||
\(379\) | −9.66911 | − | 6.21396i | −0.496669 | − | 0.319190i | 0.268214 | − | 0.963359i | \(-0.413567\pi\) |
−0.764882 | + | 0.644170i | \(0.777203\pi\) | |||||||
\(380\) | 1.69415 | + | 1.08876i | 0.0869080 | + | 0.0558524i | ||||
\(381\) | 7.10970 | − | 8.20503i | 0.364241 | − | 0.420356i | ||||
\(382\) | −2.64883 | − | 0.777766i | −0.135526 | − | 0.0397940i | ||||
\(383\) | −1.62452 | − | 11.2988i | −0.0830089 | − | 0.577339i | −0.988297 | − | 0.152542i | \(-0.951254\pi\) |
0.905288 | − | 0.424798i | \(-0.139655\pi\) | |||||||
\(384\) | 0.654861 | + | 0.755750i | 0.0334182 | + | 0.0385667i | ||||
\(385\) | −1.22898 | − | 2.69108i | −0.0626344 | − | 0.137150i | ||||
\(386\) | 4.28942 | − | 1.25949i | 0.218326 | − | 0.0641063i | ||||
\(387\) | 4.12773 | − | 9.03847i | 0.209824 | − | 0.459451i | ||||
\(388\) | 2.01466 | − | 14.0123i | 0.102279 | − | 0.711366i | ||||
\(389\) | 17.4997 | − | 11.2464i | 0.887272 | − | 0.570215i | −0.0157178 | − | 0.999876i | \(-0.505003\pi\) |
0.902990 | + | 0.429661i | \(0.141367\pi\) | |||||||
\(390\) | 3.28635 | 0.166411 | ||||||||
\(391\) | 23.7897 | − | 3.82501i | 1.20310 | − | 0.193439i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −1.77082 | + | 1.13804i | −0.0893263 | + | 0.0574065i | ||||
\(394\) | −0.452789 | + | 3.14922i | −0.0228112 | + | 0.158655i | ||||
\(395\) | 2.45517 | − | 5.37608i | 0.123533 | − | 0.270500i | ||||
\(396\) | −4.76314 | + | 1.39858i | −0.239357 | + | 0.0702815i | ||||
\(397\) | −5.44791 | − | 11.9293i | −0.273423 | − | 0.598712i | 0.722251 | − | 0.691631i | \(-0.243108\pi\) |
−0.995674 | + | 0.0929187i | \(0.970380\pi\) | |||||||
\(398\) | 5.67927 | + | 6.55422i | 0.284676 | + | 0.328533i | ||||
\(399\) | −0.480912 | − | 3.34481i | −0.0240757 | − | 0.167450i | ||||
\(400\) | 4.45670 | + | 1.30860i | 0.222835 | + | 0.0654302i | ||||
\(401\) | −23.9608 | + | 27.6523i | −1.19655 | + | 1.38089i | −0.290956 | + | 0.956737i | \(0.593973\pi\) |
−0.905591 | + | 0.424152i | \(0.860572\pi\) | |||||||
\(402\) | 4.11633 | + | 2.64541i | 0.205304 | + | 0.131941i | ||||
\(403\) | −33.5267 | − | 21.5463i | −1.67008 | − | 1.07330i | ||||
\(404\) | 4.39698 | − | 5.07439i | 0.218758 | − | 0.252460i | ||||
\(405\) | −0.571809 | − | 0.167898i | −0.0284134 | − | 0.00834294i | ||||
\(406\) | −0.900127 | − | 6.26052i | −0.0446726 | − | 0.310705i | ||||
\(407\) | −26.0136 | − | 30.0213i | −1.28945 | − | 1.48810i | ||||
\(408\) | −2.08713 | − | 4.57018i | −0.103328 | − | 0.226258i | ||||
\(409\) | 19.7643 | − | 5.80333i | 0.977284 | − | 0.286956i | 0.246181 | − | 0.969224i | \(-0.420824\pi\) |
0.731103 | + | 0.682267i | \(0.239006\pi\) | |||||||
\(410\) | −1.90535 | + | 4.17214i | −0.0940987 | + | 0.206047i | ||||
\(411\) | −1.38638 | + | 9.64247i | −0.0683850 | + | 0.475628i | ||||
\(412\) | −0.659831 | + | 0.424048i | −0.0325075 | + | 0.0208913i | ||||
\(413\) | 0.802203 | 0.0394738 | ||||||||
\(414\) | 0.0797027 | + | 4.79517i | 0.00391717 | + | 0.235670i | ||||
\(415\) | 2.81420 | 0.138144 | ||||||||
\(416\) | −4.63907 | + | 2.98135i | −0.227449 | + | 0.146173i | ||||
\(417\) | −2.81476 | + | 19.5771i | −0.137839 | + | 0.958693i | ||||
\(418\) | 6.96865 | − | 15.2592i | 0.340848 | − | 0.746353i | ||||
\(419\) | 14.2842 | − | 4.19421i | 0.697827 | − | 0.204900i | 0.0864687 | − | 0.996255i | \(-0.472442\pi\) |
0.611358 | + | 0.791354i | \(0.290624\pi\) | |||||||
\(420\) | 0.247566 | + | 0.542095i | 0.0120800 | + | 0.0264515i | ||||
\(421\) | −12.3207 | − | 14.2189i | −0.600477 | − | 0.692987i | 0.371401 | − | 0.928472i | \(-0.378877\pi\) |
−0.971878 | + | 0.235486i | \(0.924332\pi\) | |||||||
\(422\) | 0.723874 | + | 5.03465i | 0.0352376 | + | 0.245083i | ||||
\(423\) | −2.27477 | − | 0.667933i | −0.110603 | − | 0.0324760i | ||||
\(424\) | 0.850524 | − | 0.981557i | 0.0413051 | − | 0.0476686i | ||||
\(425\) | −19.6321 | − | 12.6168i | −0.952294 | − | 0.612002i | ||||
\(426\) | −7.36176 | − | 4.73111i | −0.356678 | − | 0.229223i | ||||
\(427\) | −6.67700 | + | 7.70567i | −0.323123 | + | 0.372903i | ||||
\(428\) | 1.97377 | + | 0.579551i | 0.0954057 | + | 0.0280136i | ||||
\(429\) | −3.89588 | − | 27.0964i | −0.188095 | − | 1.30823i | ||||
\(430\) | −3.87782 | − | 4.47524i | −0.187005 | − | 0.215815i | ||||
\(431\) | 8.90883 | + | 19.5076i | 0.429123 | + | 0.939649i | 0.993468 | + | 0.114110i | \(0.0364016\pi\) |
−0.564345 | + | 0.825539i | \(0.690871\pi\) | |||||||
\(432\) | 0.959493 | − | 0.281733i | 0.0461636 | − | 0.0135549i | ||||
\(433\) | 3.98276 | − | 8.72102i | 0.191399 | − | 0.419105i | −0.789466 | − | 0.613794i | \(-0.789642\pi\) |
0.980865 | + | 0.194689i | \(0.0623697\pi\) | |||||||
\(434\) | 1.02851 | − | 7.15347i | 0.0493702 | − | 0.343377i | ||||
\(435\) | 3.17096 | − | 2.03785i | 0.152036 | − | 0.0977074i | ||||
\(436\) | −9.57771 | −0.458689 | ||||||||
\(437\) | −12.4224 | − | 10.4077i | −0.594246 | − | 0.497870i | ||||
\(438\) | −2.27221 | −0.108570 | ||||||||
\(439\) | −17.1209 | + | 11.0029i | −0.817137 | + | 0.525142i | −0.881166 | − | 0.472806i | \(-0.843241\pi\) |
0.0640298 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(440\) | −0.421028 | + | 2.92832i | −0.0200717 | + | 0.139602i | ||||
\(441\) | 0.415415 | − | 0.909632i | 0.0197817 | − | 0.0433158i | ||||
\(442\) | 26.5836 | − | 7.80564i | 1.26445 | − | 0.371276i | ||||
\(443\) | 10.9636 | + | 24.0069i | 0.520896 | + | 1.14060i | 0.969099 | + | 0.246672i | \(0.0793370\pi\) |
−0.448203 | + | 0.893932i | \(0.647936\pi\) | |||||||
\(444\) | 5.24022 | + | 6.04754i | 0.248690 | + | 0.287004i | ||||
\(445\) | −1.43753 | − | 9.99827i | −0.0681457 | − | 0.473964i | ||||
\(446\) | −21.9818 | − | 6.45444i | −1.04087 | − | 0.305627i | ||||
\(447\) | −2.53343 | + | 2.92374i | −0.119827 | + | 0.138288i | ||||
\(448\) | −0.841254 | − | 0.540641i | −0.0397455 | − | 0.0255429i | ||||
\(449\) | 9.01916 | + | 5.79626i | 0.425640 | + | 0.273542i | 0.735875 | − | 0.677118i | \(-0.236771\pi\) |
−0.310234 | + | 0.950660i | \(0.600408\pi\) | |||||||
\(450\) | 3.04173 | − | 3.51034i | 0.143388 | − | 0.165479i | ||||
\(451\) | 36.6587 | + | 10.7640i | 1.72619 | + | 0.506855i | ||||
\(452\) | −1.87063 | − | 13.0105i | −0.0879871 | − | 0.611964i | ||||
\(453\) | 11.6059 | + | 13.3939i | 0.545292 | + | 0.629301i | ||||
\(454\) | −6.73971 | − | 14.7579i | −0.316310 | − | 0.692623i | ||||
\(455\) | −3.15323 | + | 0.925871i | −0.147826 | + | 0.0434055i | ||||
\(456\) | −1.40377 | + | 3.07384i | −0.0657377 | + | 0.143946i | ||||
\(457\) | 1.74672 | − | 12.1487i | 0.0817079 | − | 0.568291i | −0.907306 | − | 0.420470i | \(-0.861865\pi\) |
0.989014 | − | 0.147821i | \(-0.0472259\pi\) | |||||||
\(458\) | 11.8367 | − | 7.60700i | 0.553094 | − | 0.355452i | ||||
\(459\) | −5.02421 | −0.234510 | ||||||||
\(460\) | 2.61917 | + | 1.14392i | 0.122119 | + | 0.0533354i | ||||
\(461\) | 12.8280 | 0.597459 | 0.298730 | − | 0.954338i | \(-0.403437\pi\) | ||||
0.298730 | + | 0.954338i | \(0.403437\pi\) | |||||||
\(462\) | 4.17617 | − | 2.68386i | 0.194293 | − | 0.124865i | ||||
\(463\) | 4.01968 | − | 27.9575i | 0.186811 | − | 1.29930i | −0.653391 | − | 0.757021i | \(-0.726654\pi\) |
0.840201 | − | 0.542275i | \(-0.182437\pi\) | |||||||
\(464\) | −2.62746 | + | 5.75333i | −0.121977 | + | 0.267092i | ||||
\(465\) | 4.13248 | − | 1.21341i | 0.191639 | − | 0.0562704i | ||||
\(466\) | 8.27848 | + | 18.1273i | 0.383493 | + | 0.839733i | ||||
\(467\) | −10.4504 | − | 12.0604i | −0.483585 | − | 0.558087i | 0.460555 | − | 0.887631i | \(-0.347650\pi\) |
−0.944140 | + | 0.329544i | \(0.893105\pi\) | |||||||
\(468\) | 0.784791 | + | 5.45834i | 0.0362770 | + | 0.252312i | ||||
\(469\) | −4.69489 | − | 1.37854i | −0.216790 | − | 0.0636553i | ||||
\(470\) | −0.925240 | + | 1.06778i | −0.0426782 | + | 0.0492532i | ||||
\(471\) | −7.43030 | − | 4.77517i | −0.342370 | − | 0.220028i | ||||
\(472\) | −0.674856 | − | 0.433704i | −0.0310628 | − | 0.0199628i | ||||
\(473\) | −32.3020 | + | 37.2785i | −1.48525 | + | 1.71407i | ||||
\(474\) | 9.51551 | + | 2.79401i | 0.437062 | + | 0.128333i | ||||
\(475\) | 2.23376 | + | 15.5361i | 0.102492 | + | 0.712847i | ||||
\(476\) | 3.29016 | + | 3.79704i | 0.150804 | + | 0.174037i | ||||
\(477\) | −0.539535 | − | 1.18142i | −0.0247036 | − | 0.0540934i | ||||
\(478\) | 9.00217 | − | 2.64327i | 0.411749 | − | 0.120901i | ||||
\(479\) | 0.574661 | − | 1.25833i | 0.0262569 | − | 0.0574946i | −0.896049 | − | 0.443955i | \(-0.853575\pi\) |
0.922306 | + | 0.386460i | \(0.126302\pi\) | |||||||
\(480\) | 0.0848125 | − | 0.589884i | 0.00387114 | − | 0.0269244i | ||||
\(481\) | −37.1220 | + | 23.8569i | −1.69262 | + | 1.08778i | ||||
\(482\) | −30.5573 | −1.39185 | ||||||||
\(483\) | −1.42743 | − | 4.57848i | −0.0649503 | − | 0.208328i | ||||
\(484\) | 13.6435 | 0.620160 | ||||||||
\(485\) | −7.09723 | + | 4.56111i | −0.322269 | + | 0.207109i | ||||
\(486\) | 0.142315 | − | 0.989821i | 0.00645553 | − | 0.0448992i | ||||
\(487\) | −9.38383 | + | 20.5477i | −0.425222 | + | 0.931106i | 0.568856 | + | 0.822437i | \(0.307386\pi\) |
−0.994078 | + | 0.108669i | \(0.965341\pi\) | |||||||
\(488\) | 9.78305 | − | 2.87256i | 0.442858 | − | 0.130035i | ||||
\(489\) | 8.01608 | + | 17.5528i | 0.362500 | + | 0.793764i | ||||
\(490\) | −0.390264 | − | 0.450389i | −0.0176303 | − | 0.0203465i | ||||
\(491\) | −6.03157 | − | 41.9505i | −0.272201 | − | 1.89320i | −0.425403 | − | 0.905004i | \(-0.639868\pi\) |
0.153203 | − | 0.988195i | \(-0.451041\pi\) | |||||||
\(492\) | −7.38458 | − | 2.16831i | −0.332922 | − | 0.0977549i | ||||
\(493\) | 20.8099 | − | 24.0159i | 0.937232 | − | 1.08162i | ||||
\(494\) | −15.6764 | − | 10.0746i | −0.705314 | − | 0.453278i | ||||
\(495\) | 2.48879 | + | 1.59945i | 0.111863 | + | 0.0718898i | ||||
\(496\) | −4.73270 | + | 5.46182i | −0.212504 | + | 0.245243i | ||||
\(497\) | 8.39646 | + | 2.46542i | 0.376633 | + | 0.110589i | ||||
\(498\) | 0.672040 | + | 4.67414i | 0.0301148 | + | 0.209453i | ||||
\(499\) | −14.0437 | − | 16.2073i | −0.628683 | − | 0.725539i | 0.348648 | − | 0.937254i | \(-0.386641\pi\) |
−0.977332 | + | 0.211714i | \(0.932095\pi\) | |||||||
\(500\) | −2.38774 | − | 5.22842i | −0.106783 | − | 0.233822i | ||||
\(501\) | 22.9271 | − | 6.73200i | 1.02431 | − | 0.300764i | ||||
\(502\) | −8.47283 | + | 18.5529i | −0.378161 | + | 0.828057i | ||||
\(503\) | 3.72474 | − | 25.9061i | 0.166078 | − | 1.15510i | −0.720816 | − | 0.693126i | \(-0.756233\pi\) |
0.886894 | − | 0.461972i | \(-0.152858\pi\) | |||||||
\(504\) | −0.841254 | + | 0.540641i | −0.0374724 | + | 0.0240821i | ||||
\(505\) | −4.00143 | −0.178061 | ||||||||
\(506\) | 6.32681 | − | 22.9515i | 0.281261 | − | 1.02032i | ||||
\(507\) | −17.4094 | −0.773178 | ||||||||
\(508\) | 9.13333 | − | 5.86963i | 0.405226 | − | 0.260423i | ||||
\(509\) | 1.44576 | − | 10.0555i | 0.0640823 | − | 0.445702i | −0.932367 | − | 0.361512i | \(-0.882261\pi\) |
0.996450 | − | 0.0841902i | \(-0.0268303\pi\) | |||||||
\(510\) | −1.24383 | + | 2.72360i | −0.0550775 | + | 0.120603i | ||||
\(511\) | 2.18017 | − | 0.640155i | 0.0964450 | − | 0.0283188i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | 2.21291 | + | 2.55384i | 0.0977024 | + | 0.112755i | ||||
\(514\) | 0.381731 | + | 2.65499i | 0.0168374 | + | 0.117107i | ||||
\(515\) | 0.448494 | + | 0.131690i | 0.0197630 | + | 0.00580295i | ||||
\(516\) | 6.50696 | − | 7.50943i | 0.286453 | − | 0.330584i | ||||
\(517\) | 9.90089 | + | 6.36292i | 0.435441 | + | 0.279841i | ||||
\(518\) | −6.73175 | − | 4.32623i | −0.295776 | − | 0.190084i | ||||
\(519\) | 3.88459 | − | 4.48305i | 0.170514 | − | 0.196784i | ||||
\(520\) | 3.15323 | + | 0.925871i | 0.138278 | + | 0.0406021i | ||||
\(521\) | 0.517952 | + | 3.60244i | 0.0226919 | + | 0.157826i | 0.998017 | − | 0.0629491i | \(-0.0200506\pi\) |
−0.975325 | + | 0.220775i | \(0.929141\pi\) | |||||||
\(522\) | 4.14193 | + | 4.78004i | 0.181287 | + | 0.209217i | ||||
\(523\) | 12.9130 | + | 28.2755i | 0.564646 | + | 1.23640i | 0.949600 | + | 0.313466i | \(0.101490\pi\) |
−0.384954 | + | 0.922936i | \(0.625783\pi\) | |||||||
\(524\) | −2.01972 | + | 0.593042i | −0.0882317 | + | 0.0259072i | ||||
\(525\) | −1.92954 | + | 4.22510i | −0.0842119 | + | 0.184398i | ||||
\(526\) | −4.08787 | + | 28.4317i | −0.178239 | + | 1.23968i | ||||
\(527\) | 30.5460 | − | 19.6307i | 1.33060 | − | 0.855127i | ||||
\(528\) | −4.96422 | −0.216040 | ||||||||
\(529\) | −19.7514 | − | 11.7848i | −0.858756 | − | 0.512384i | ||||
\(530\) | −0.774011 | −0.0336209 | ||||||||
\(531\) | −0.674856 | + | 0.433704i | −0.0292863 | + | 0.0188211i | ||||
\(532\) | 0.480912 | − | 3.34481i | 0.0208502 | − | 0.145016i | ||||
\(533\) | 17.6307 | − | 38.6059i | 0.763671 | − | 1.67221i | ||||
\(534\) | 16.2630 | − | 4.77524i | 0.703768 | − | 0.206645i | ||||
\(535\) | −0.509268 | − | 1.11514i | −0.0220176 | − | 0.0482117i | ||||
\(536\) | 3.20430 | + | 3.69795i | 0.138405 | + | 0.159727i | ||||
\(537\) | 2.47885 | + | 17.2408i | 0.106970 | + | 0.743995i | ||||
\(538\) | 19.7616 | + | 5.80252i | 0.851981 | + | 0.250164i | ||||
\(539\) | −3.25088 | + | 3.75171i | −0.140025 | + | 0.161598i | ||||
\(540\) | −0.501345 | − | 0.322195i | −0.0215744 | − | 0.0138651i | ||||
\(541\) | 30.5819 | + | 19.6538i | 1.31482 | + | 0.844983i | 0.994742 | − | 0.102408i | \(-0.0326547\pi\) |
0.320077 | + | 0.947391i | \(0.396291\pi\) | |||||||
\(542\) | −17.8174 | + | 20.5624i | −0.765323 | + | 0.883230i | ||||
\(543\) | 2.48371 | + | 0.729282i | 0.106586 | + | 0.0312965i | ||||
\(544\) | −0.715019 | − | 4.97307i | −0.0306562 | − | 0.213219i | ||||
\(545\) | 3.73784 | + | 4.31369i | 0.160111 | + | 0.184778i | ||||
\(546\) | −2.29079 | − | 5.01614i | −0.0980369 | − | 0.214671i | ||||
\(547\) | 25.0862 | − | 7.36596i | 1.07261 | − | 0.314946i | 0.302689 | − | 0.953089i | \(-0.402116\pi\) |
0.769917 | + | 0.638144i | \(0.220297\pi\) | |||||||
\(548\) | −4.04682 | + | 8.86129i | −0.172871 | + | 0.378536i | ||||
\(549\) | 1.45105 | − | 10.0923i | 0.0619293 | − | 0.430728i | ||||
\(550\) | −19.3977 | + | 12.4661i | −0.827119 | + | 0.531557i | ||||
\(551\) | −21.3732 | −0.910527 | ||||||||
\(552\) | −1.27448 | + | 4.62339i | −0.0542455 | + | 0.196784i | ||||
\(553\) | −9.91723 | −0.421723 | ||||||||
\(554\) | −17.7655 | + | 11.4172i | −0.754782 | + | 0.485069i | ||||
\(555\) | 0.678673 | − | 4.72027i | 0.0288081 | − | 0.200364i | ||||
\(556\) | −8.21623 | + | 17.9910i | −0.348446 | + | 0.762990i | ||||
\(557\) | 5.37766 | − | 1.57902i | 0.227859 | − | 0.0669054i | −0.165810 | − | 0.986158i | \(-0.553024\pi\) |
0.393669 | + | 0.919252i | \(0.371206\pi\) | |||||||
\(558\) | 3.00222 | + | 6.57393i | 0.127094 | + | 0.278297i | ||||
\(559\) | 35.8825 | + | 41.4106i | 1.51767 | + | 1.75148i | ||||
\(560\) | 0.0848125 | + | 0.589884i | 0.00358398 | + | 0.0249271i | ||||
\(561\) | 23.9310 | + | 7.02677i | 1.01037 | + | 0.296671i | ||||
\(562\) | −11.4274 | + | 13.1880i | −0.482038 | + | 0.556301i | ||||
\(563\) | −8.58672 | − | 5.51835i | −0.361887 | − | 0.232571i | 0.347043 | − | 0.937849i | \(-0.387186\pi\) |
−0.708930 | + | 0.705278i | \(0.750822\pi\) | |||||||
\(564\) | −1.99445 | − | 1.28175i | −0.0839815 | − | 0.0539716i | ||||
\(565\) | −5.12976 | + | 5.92005i | −0.215810 | + | 0.249059i | ||||
\(566\) | −3.43001 | − | 1.00714i | −0.144174 | − | 0.0423333i | ||||
\(567\) | 0.142315 | + | 0.989821i | 0.00597666 | + | 0.0415686i | ||||
\(568\) | −5.73064 | − | 6.61352i | −0.240453 | − | 0.277497i | ||||
\(569\) | −7.23735 | − | 15.8476i | −0.303406 | − | 0.664366i | 0.695106 | − | 0.718907i | \(-0.255357\pi\) |
−0.998511 | + | 0.0545417i | \(0.982630\pi\) | |||||||
\(570\) | 1.93226 | − | 0.567364i | 0.0809336 | − | 0.0237643i | ||||
\(571\) | 12.9157 | − | 28.2815i | 0.540507 | − | 1.18355i | −0.420569 | − | 0.907261i | \(-0.638170\pi\) |
0.961076 | − | 0.276285i | \(-0.0891032\pi\) | |||||||
\(572\) | 3.89588 | − | 27.0964i | 0.162895 | − | 1.13296i | ||||
\(573\) | −2.32241 | + | 1.49252i | −0.0970201 | + | 0.0623510i | ||||
\(574\) | 7.69633 | 0.321239 | ||||||||
\(575\) | 6.63019 | + | 21.2663i | 0.276498 | + | 0.886866i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 23.5124 | − | 15.1105i | 0.978835 | − | 0.629059i | 0.0496858 | − | 0.998765i | \(-0.484178\pi\) |
0.929149 | + | 0.369706i | \(0.120542\pi\) | |||||||
\(578\) | −1.17305 | + | 8.15877i | −0.0487926 | + | 0.339360i | ||||
\(579\) | 1.85712 | − | 4.06652i | 0.0771792 | − | 0.168999i | ||||
\(580\) | 3.61664 | − | 1.06194i | 0.150173 | − | 0.0440947i | ||||
\(581\) | −1.96168 | − | 4.29547i | −0.0813840 | − | 0.178206i | ||||
\(582\) | −9.27046 | − | 10.6987i | −0.384273 | − | 0.443475i | ||||
\(583\) | 0.917570 | + | 6.38184i | 0.0380019 | + | 0.264309i | ||||
\(584\) | −2.18017 | − | 0.640155i | −0.0902160 | − | 0.0264898i | ||||
\(585\) | 2.15210 | − | 2.48366i | 0.0889784 | − | 0.102687i | ||||
\(586\) | 17.3151 | + | 11.1277i | 0.715280 | + | 0.459682i | ||||
\(587\) | 18.1153 | + | 11.6420i | 0.747700 | + | 0.480518i | 0.858172 | − | 0.513362i | \(-0.171600\pi\) |
−0.110472 | + | 0.993879i | \(0.535236\pi\) | |||||||
\(588\) | 0.654861 | − | 0.755750i | 0.0270060 | − | 0.0311666i | ||||
\(589\) | −23.4324 | − | 6.88037i | −0.965515 | − | 0.283501i | ||||
\(590\) | 0.0680368 | + | 0.473207i | 0.00280103 | + | 0.0194816i | ||||
\(591\) | 2.08351 | + | 2.40449i | 0.0857040 | + | 0.0989077i | ||||
\(592\) | 3.32417 | + | 7.27891i | 0.136622 | + | 0.299161i | ||||
\(593\) | 8.46457 | − | 2.48542i | 0.347598 | − | 0.102064i | −0.103273 | − | 0.994653i | \(-0.532932\pi\) |
0.450871 | + | 0.892589i | \(0.351113\pi\) | |||||||
\(594\) | −2.06221 | + | 4.51562i | −0.0846136 | + | 0.185278i | ||||
\(595\) | 0.426116 | − | 2.96370i | 0.0174690 | − | 0.121500i | ||||
\(596\) | −3.25452 | + | 2.09155i | −0.133310 | + | 0.0856734i | ||||
\(597\) | 8.67248 | 0.354941 | ||||||||
\(598\) | −24.2358 | − | 10.5849i | −0.991076 | − | 0.432851i | ||||
\(599\) | −28.0704 | −1.14692 | −0.573462 | − | 0.819232i | \(-0.694400\pi\) | ||||
−0.573462 | + | 0.819232i | \(0.694400\pi\) | |||||||
\(600\) | 3.90749 | − | 2.51119i | 0.159523 | − | 0.102519i | ||||
\(601\) | 3.60400 | − | 25.0664i | 0.147010 | − | 1.02248i | −0.774068 | − | 0.633102i | \(-0.781781\pi\) |
0.921079 | − | 0.389376i | \(-0.127309\pi\) | |||||||
\(602\) | −4.12773 | + | 9.03847i | −0.168234 | + | 0.368381i | ||||
\(603\) | 4.69489 | − | 1.37854i | 0.191191 | − | 0.0561387i | ||||
\(604\) | 7.36227 | + | 16.1211i | 0.299566 | + | 0.655959i | ||||
\(605\) | −5.32458 | − | 6.14489i | −0.216475 | − | 0.249825i | ||||
\(606\) | −0.955556 | − | 6.64604i | −0.0388168 | − | 0.269977i | ||||
\(607\) | −38.6112 | − | 11.3373i | −1.56718 | − | 0.460166i | −0.621002 | − | 0.783809i | \(-0.713274\pi\) |
−0.946179 | + | 0.323643i | \(0.895092\pi\) | |||||||
\(608\) | −2.21291 | + | 2.55384i | −0.0897454 | + | 0.103572i | ||||
\(609\) | −5.32085 | − | 3.41950i | −0.215612 | − | 0.138565i | ||||
\(610\) | −5.11174 | − | 3.28512i | −0.206968 | − | 0.133010i | ||||
\(611\) | 8.56148 | − | 9.88048i | 0.346360 | − | 0.399721i | ||||
\(612\) | −4.82069 | − | 1.41548i | −0.194865 | − | 0.0572175i | ||||
\(613\) | −1.30789 | − | 9.09658i | −0.0528252 | − | 0.367408i | −0.999038 | − | 0.0438614i | \(-0.986034\pi\) |
0.946212 | − | 0.323546i | \(-0.104875\pi\) | |||||||
\(614\) | −13.4783 | − | 15.5548i | −0.543940 | − | 0.627741i | ||||
\(615\) | 1.90535 | + | 4.17214i | 0.0768313 | + | 0.168237i | ||||
\(616\) | 4.76314 | − | 1.39858i | 0.191912 | − | 0.0563505i | ||||
\(617\) | 19.2940 | − | 42.2479i | 0.776747 | − | 1.70084i | 0.0655448 | − | 0.997850i | \(-0.479121\pi\) |
0.711202 | − | 0.702988i | \(-0.248151\pi\) | |||||||
\(618\) | −0.111624 | + | 0.776359i | −0.00449016 | + | 0.0312297i | ||||
\(619\) | −9.69325 | + | 6.22947i | −0.389605 | + | 0.250384i | −0.720749 | − | 0.693197i | \(-0.756202\pi\) |
0.331144 | + | 0.943580i | \(0.392565\pi\) | |||||||
\(620\) | 4.30694 | 0.172971 | ||||||||
\(621\) | 3.67614 | + | 3.07993i | 0.147518 | + | 0.123593i | ||||
\(622\) | −4.30777 | −0.172726 | ||||||||
\(623\) | −14.2589 | + | 9.16363i | −0.571270 | + | 0.367133i | ||||
\(624\) | −0.784791 | + | 5.45834i | −0.0314168 | + | 0.218509i | ||||
\(625\) | 8.22472 | − | 18.0096i | 0.328989 | − | 0.720385i | ||||
\(626\) | 7.32655 | − | 2.15127i | 0.292828 | − | 0.0859820i | ||||
\(627\) | −6.96865 | − | 15.2592i | −0.278301 | − | 0.609394i | ||||
\(628\) | −5.78400 | − | 6.67510i | −0.230807 | − | 0.266365i | ||||
\(629\) | −5.72161 | − | 39.7947i | −0.228136 | − | 1.58672i | ||||
\(630\) | 0.571809 | + | 0.167898i | 0.0227814 | + | 0.00668923i | ||||
\(631\) | −16.9349 | + | 19.5439i | −0.674167 | + | 0.778031i | −0.985022 | − | 0.172427i | \(-0.944839\pi\) |
0.310855 | + | 0.950457i | \(0.399385\pi\) | |||||||
\(632\) | 8.34290 | + | 5.36166i | 0.331863 | + | 0.213275i | ||||
\(633\) | 4.27897 | + | 2.74993i | 0.170074 | + | 0.109300i | ||||
\(634\) | 19.9880 | − | 23.0674i | 0.793826 | − | 0.916124i | ||||
\(635\) | −6.20803 | − | 1.82284i | −0.246358 | − | 0.0723372i | ||||
\(636\) | −0.184837 | − | 1.28557i | −0.00732925 | − | 0.0509760i | ||||
\(637\) | 3.61121 | + | 4.16756i | 0.143081 | + | 0.165125i | ||||
\(638\) | −13.0433 | − | 28.5608i | −0.516389 | − | 1.13073i | ||||
\(639\) | −8.39646 | + | 2.46542i | −0.332159 | + | 0.0975307i | ||||
\(640\) | 0.247566 | − | 0.542095i | 0.00978592 | − | 0.0214282i | ||||
\(641\) | 1.35506 | − | 9.42462i | 0.0535215 | − | 0.372250i | −0.945404 | − | 0.325901i | \(-0.894332\pi\) |
0.998925 | − | 0.0463488i | \(-0.0147586\pi\) | |||||||
\(642\) | 1.73054 | − | 1.11215i | 0.0682989 | − | 0.0438930i | ||||
\(643\) | −45.2734 | −1.78541 | −0.892704 | − | 0.450644i | \(-0.851194\pi\) | ||||
−0.892704 | + | 0.450644i | \(0.851194\pi\) | |||||||
\(644\) | −0.0797027 | − | 4.79517i | −0.00314072 | − | 0.188956i | ||||
\(645\) | −5.92160 | −0.233163 | ||||||||
\(646\) | 14.2827 | − | 9.17892i | 0.561944 | − | 0.361140i | ||||
\(647\) | 3.57791 | − | 24.8849i | 0.140662 | − | 0.978326i | −0.790172 | − | 0.612885i | \(-0.790009\pi\) |
0.930834 | − | 0.365441i | \(-0.119082\pi\) | |||||||
\(648\) | 0.415415 | − | 0.909632i | 0.0163190 | − | 0.0357337i | ||||
\(649\) | 3.82100 | − | 1.12195i | 0.149988 | − | 0.0440403i | ||||
\(650\) | 10.6404 | + | 23.2992i | 0.417350 | + | 0.913869i | ||||
\(651\) | −4.73270 | − | 5.46182i | −0.185489 | − | 0.214066i | ||||
\(652\) | 2.74619 | + | 19.1001i | 0.107549 | + | 0.748020i | ||||
\(653\) | 5.01398 | + | 1.47224i | 0.196212 | + | 0.0576131i | 0.378362 | − | 0.925658i | \(-0.376487\pi\) |
−0.182150 | + | 0.983271i | \(0.558306\pi\) | |||||||
\(654\) | −6.27207 | + | 7.23835i | −0.245257 | + | 0.283042i | ||||
\(655\) | 1.05532 | + | 0.678214i | 0.0412348 | + | 0.0265000i | ||||
\(656\) | −6.47457 | − | 4.16095i | −0.252789 | − | 0.162458i | ||||
\(657\) | −1.48798 | + | 1.71722i | −0.0580516 | + | 0.0669952i | ||||
\(658\) | 2.27477 | + | 0.667933i | 0.0886798 | + | 0.0260388i | ||||
\(659\) | −3.77587 | − | 26.2617i | −0.147087 | − | 1.02301i | −0.920956 | − | 0.389667i | \(-0.872590\pi\) |
0.773869 | − | 0.633346i | \(-0.218319\pi\) | |||||||
\(660\) | 1.93736 | + | 2.23583i | 0.0754116 | + | 0.0870296i | ||||
\(661\) | −5.04814 | − | 11.0539i | −0.196350 | − | 0.429947i | 0.785690 | − | 0.618621i | \(-0.212308\pi\) |
−0.982040 | + | 0.188674i | \(0.939581\pi\) | |||||||
\(662\) | 6.12415 | − | 1.79821i | 0.238022 | − | 0.0698895i | ||||
\(663\) | 11.5094 | − | 25.2021i | 0.446989 | − | 0.978770i | ||||
\(664\) | −0.672040 | + | 4.67414i | −0.0260802 | + | 0.181392i | ||||
\(665\) | −1.69415 | + | 1.08876i | −0.0656963 | + | 0.0422204i | ||||
\(666\) | 8.00204 | 0.310073 | ||||||||
\(667\) | −29.9485 | + | 4.81524i | −1.15961 | + | 0.186447i | ||||
\(668\) | 23.8950 | 0.924526 | ||||||||
\(669\) | −19.2730 | + | 12.3860i | −0.745136 | + | 0.478870i | ||||
\(670\) | 0.414996 | − | 2.88636i | 0.0160327 | − | 0.111510i | ||||
\(671\) | −21.0264 | + | 46.0415i | −0.811717 | + | 1.77741i | ||||
\(672\) | −0.959493 | + | 0.281733i | −0.0370132 | + | 0.0108681i | ||||
\(673\) | 14.9878 | + | 32.8187i | 0.577737 | + | 1.26507i | 0.942574 | + | 0.333997i | \(0.108398\pi\) |
−0.364837 | + | 0.931071i | \(0.618875\pi\) | |||||||
\(674\) | 14.6396 | + | 16.8950i | 0.563896 | + | 0.650771i | ||||
\(675\) | −0.661030 | − | 4.59757i | −0.0254431 | − | 0.176960i | ||||
\(676\) | −16.7042 | − | 4.90479i | −0.642469 | − | 0.188646i | ||||
\(677\) | −19.5998 | + | 22.6194i | −0.753283 | + | 0.869335i | −0.994882 | − | 0.101041i | \(-0.967783\pi\) |
0.241599 | + | 0.970376i | \(0.422328\pi\) | |||||||
\(678\) | −11.0577 | − | 7.10636i | −0.424669 | − | 0.272918i | ||||
\(679\) | 11.9091 | + | 7.65352i | 0.457030 | + | 0.293715i | ||||
\(680\) | −1.96077 | + | 2.26285i | −0.0751920 | + | 0.0867762i | ||||
\(681\) | −15.5668 | − | 4.57084i | −0.596523 | − | 0.175155i | ||||
\(682\) | −5.10577 | − | 35.5114i | −0.195510 | − | 1.35980i | ||||
\(683\) | 6.23782 | + | 7.19883i | 0.238684 | + | 0.275455i | 0.862436 | − | 0.506167i | \(-0.168938\pi\) |
−0.623752 | + | 0.781622i | \(0.714393\pi\) | |||||||
\(684\) | 1.40377 | + | 3.07384i | 0.0536746 | + | 0.117531i | ||||
\(685\) | 5.57035 | − | 1.63560i | 0.212832 | − | 0.0624932i | ||||
\(686\) | −0.415415 | + | 0.909632i | −0.0158606 | + | 0.0347299i | ||||
\(687\) | 2.00242 | − | 13.9271i | 0.0763970 | − | 0.531353i | ||||
\(688\) | 8.35904 | − | 5.37203i | 0.318685 | − | 0.204807i | ||||
\(689\) | 7.16212 | 0.272855 | ||||||||
\(690\) | 2.57970 | − | 1.23033i | 0.0982077 | − | 0.0468378i | ||||
\(691\) | 49.9914 | 1.90176 | 0.950881 | − | 0.309556i | \(-0.100180\pi\) | ||||
0.950881 | + | 0.309556i | \(0.100180\pi\) | |||||||
\(692\) | 4.99026 | − | 3.20704i | 0.189701 | − | 0.121913i | ||||
\(693\) | 0.706483 | − | 4.91370i | 0.0268371 | − | 0.186656i | ||||
\(694\) | −0.334684 | + | 0.732856i | −0.0127044 | + | 0.0278188i | ||||
\(695\) | 11.3095 | − | 3.32076i | 0.428992 | − | 0.125964i | ||||
\(696\) | 2.62746 | + | 5.75333i | 0.0995936 | + | 0.218080i | ||||
\(697\) | 25.3221 | + | 29.2233i | 0.959144 | + | 1.10691i | ||||
\(698\) | −0.459697 | − | 3.19726i | −0.0173998 | − | 0.121018i | ||||
\(699\) | 19.1210 | + | 5.61443i | 0.723222 | + | 0.212357i | ||||
\(700\) | −3.04173 | + | 3.51034i | −0.114966 | + | 0.132678i | ||||
\(701\) | 6.55720 | + | 4.21406i | 0.247662 | + | 0.159163i | 0.658583 | − | 0.752508i | \(-0.271156\pi\) |
−0.410921 | + | 0.911671i | \(0.634793\pi\) | |||||||
\(702\) | 4.63907 | + | 2.98135i | 0.175090 | + | 0.112524i | ||||
\(703\) | −17.7078 | + | 20.4359i | −0.667863 | + | 0.770755i | ||||
\(704\) | −4.76314 | − | 1.39858i | −0.179518 | − | 0.0527111i | ||||
\(705\) | 0.201074 | + | 1.39850i | 0.00757288 | + | 0.0526706i | ||||
\(706\) | 0.104938 | + | 0.121105i | 0.00394938 | + | 0.00455783i | ||||
\(707\) | 2.78925 | + | 6.10762i | 0.104901 | + | 0.229701i | ||||
\(708\) | −0.769708 | + | 0.226007i | −0.0289274 | + | 0.00849385i | ||||
\(709\) | 7.92315 | − | 17.3493i | 0.297560 | − | 0.651566i | −0.700511 | − | 0.713641i | \(-0.747045\pi\) |
0.998071 | + | 0.0620753i | \(0.0197719\pi\) | |||||||
\(710\) | −0.742189 | + | 5.16203i | −0.0278538 | + | 0.193728i | ||||
\(711\) | 8.34290 | − | 5.36166i | 0.312883 | − | 0.201078i | ||||
\(712\) | 16.9496 | 0.635212 | ||||||||
\(713\) | −34.3841 | − | 4.36174i | −1.28769 | − | 0.163349i | ||||
\(714\) | 5.02421 | 0.188026 | ||||||||
\(715\) | −13.7243 | + | 8.82010i | −0.513262 | + | 0.329853i | ||||
\(716\) | −2.47885 | + | 17.2408i | −0.0926390 | + | 0.644319i | ||||
\(717\) | 3.89751 | − | 8.53436i | 0.145555 | − | 0.318721i | ||||
\(718\) | −17.9647 | + | 5.27491i | −0.670437 | + | 0.196858i | ||||
\(719\) | −16.6576 | − | 36.4751i | −0.621225 | − | 1.36029i | −0.914625 | − | 0.404303i | \(-0.867514\pi\) |
0.293400 | − | 0.955990i | \(-0.405213\pi\) | |||||||
\(720\) | −0.390264 | − | 0.450389i | −0.0145443 | − | 0.0167850i | ||||
\(721\) | −0.111624 | − | 0.776359i | −0.00415708 | − | 0.0289131i | ||||
\(722\) | 7.27386 | + | 2.13580i | 0.270705 | + | 0.0794862i | ||||
\(723\) | −20.0108 | + | 23.0937i | −0.744209 | + | 0.858863i | ||||
\(724\) | 2.17764 | + | 1.39948i | 0.0809312 | + | 0.0520113i | ||||
\(725\) | 24.7145 | + | 15.8830i | 0.917874 | + | 0.589881i | ||||
\(726\) | 8.93461 | − | 10.3111i | 0.331594 | − | 0.382680i | ||||
\(727\) | 19.4886 | + | 5.72238i | 0.722793 | + | 0.212231i | 0.622381 | − | 0.782715i | \(-0.286166\pi\) |
0.100412 | + | 0.994946i | \(0.467984\pi\) | |||||||
\(728\) | −0.784791 | − | 5.45834i | −0.0290863 | − | 0.202300i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 0.562523 | + | 1.23175i | 0.0208199 | + | 0.0455892i | ||||
\(731\) | −47.9003 | + | 14.0648i | −1.77166 | + | 0.520206i | ||||
\(732\) | 4.23560 | − | 9.27466i | 0.156552 | − | 0.342801i | ||||
\(733\) | 1.03185 | − | 7.17665i | 0.0381121 | − | 0.265076i | −0.961852 | − | 0.273571i | \(-0.911795\pi\) |
0.999964 | + | 0.00849543i | \(0.00270421\pi\) | |||||||
\(734\) | 28.1966 | − | 18.1209i | 1.04076 | − | 0.668854i | ||||
\(735\) | −0.595950 | −0.0219819 | ||||||||
\(736\) | −2.52541 | + | 4.07704i | −0.0930880 | + | 0.150282i | ||||
\(737\) | −24.2904 | −0.894749 | ||||||||
\(738\) | −6.47457 | + | 4.16095i | −0.238332 | + | 0.153167i | ||||
\(739\) | 5.60129 | − | 38.9578i | 0.206047 | − | 1.43309i | −0.579847 | − | 0.814725i | \(-0.696888\pi\) |
0.785894 | − | 0.618361i | \(-0.212203\pi\) | |||||||
\(740\) | 1.98104 | − | 4.33787i | 0.0728244 | − | 0.159463i | ||||
\(741\) | −17.8797 | + | 5.24996i | −0.656828 | + | 0.192862i | ||||
\(742\) | 0.539535 | + | 1.18142i | 0.0198070 | + | 0.0433712i | ||||
\(743\) | 19.4729 | + | 22.4729i | 0.714390 | + | 0.824450i | 0.990621 | − | 0.136642i | \(-0.0436309\pi\) |
−0.276231 | + | 0.961091i | \(0.589085\pi\) | |||||||
\(744\) | 1.02851 | + | 7.15347i | 0.0377071 | + | 0.262259i | ||||
\(745\) | 2.21214 | + | 0.649541i | 0.0810464 | + | 0.0237974i | ||||
\(746\) | −1.12371 | + | 1.29683i | −0.0411420 | + | 0.0474804i | ||||
\(747\) | 3.97257 | + | 2.55302i | 0.145349 | + | 0.0934101i | ||||
\(748\) | 20.9820 | + | 13.4843i | 0.767176 | + | 0.493034i | ||||
\(749\) | −1.34711 | + | 1.55465i | −0.0492224 | + | 0.0568056i | ||||
\(750\) | −5.51501 | − | 1.61935i | −0.201380 | − | 0.0591304i | ||||
\(751\) | 2.55294 | + | 17.7561i | 0.0931582 | + | 0.647930i | 0.981883 | + | 0.189488i | \(0.0606830\pi\) |
−0.888725 | + | 0.458441i | \(0.848408\pi\) | |||||||
\(752\) | −1.55255 | − | 1.79174i | −0.0566156 | − | 0.0653379i | ||||
\(753\) | 8.47283 | + | 18.5529i | 0.308767 | + | 0.676106i | ||||
\(754\) | −33.4657 | + | 9.82641i | −1.21875 | + | 0.357857i | ||||
\(755\) | 4.38754 | − | 9.60737i | 0.159679 | − | 0.349648i | ||||
\(756\) | −0.142315 | + | 0.989821i | −0.00517594 | + | 0.0359995i | ||||
\(757\) | 31.8869 | − | 20.4924i | 1.15895 | − | 0.744810i | 0.187546 | − | 0.982256i | \(-0.439946\pi\) |
0.971401 | + | 0.237446i | \(0.0763101\pi\) | |||||||
\(758\) | −11.4937 | −0.417470 | ||||||||
\(759\) | −13.2024 | − | 19.8115i | −0.479218 | − | 0.719113i | ||||
\(760\) | 2.01384 | 0.0730496 | ||||||||
\(761\) | −28.8851 | + | 18.5633i | −1.04709 | + | 0.672921i | −0.946729 | − | 0.322031i | \(-0.895635\pi\) |
−0.100356 | + | 0.994952i | \(0.531998\pi\) | |||||||
\(762\) | 1.54509 | − | 10.7463i | 0.0559725 | − | 0.389297i | ||||
\(763\) | 3.97873 | − | 8.71219i | 0.144040 | − | 0.315403i | ||||
\(764\) | −2.64883 | + | 0.777766i | −0.0958312 | + | 0.0281386i | ||||
\(765\) | 1.24383 | + | 2.72360i | 0.0449706 | + | 0.0984719i | ||||
\(766\) | −7.47520 | − | 8.62684i | −0.270090 | − | 0.311700i | ||||
\(767\) | −0.629562 | − | 4.37870i | −0.0227322 | − | 0.158106i | ||||
\(768\) | 0.959493 | + | 0.281733i | 0.0346227 | + | 0.0101661i | ||||
\(769\) | 21.8621 | − | 25.2302i | 0.788367 | − | 0.909824i | −0.209317 | − | 0.977848i | \(-0.567124\pi\) |
0.997684 | + | 0.0680237i | \(0.0216694\pi\) | |||||||
\(770\) | −2.48879 | − | 1.59945i | −0.0896897 | − | 0.0576401i | ||||
\(771\) | 2.25649 | + | 1.45016i | 0.0812656 | + | 0.0522262i | ||||
\(772\) | 2.92756 | − | 3.37859i | 0.105365 | − | 0.121598i | ||||
\(773\) | −32.3052 | − | 9.48565i | −1.16194 | − | 0.341175i | −0.356751 | − | 0.934199i | \(-0.616116\pi\) |
−0.805185 | + | 0.593024i | \(0.797934\pi\) | |||||||
\(774\) | −1.41410 | − | 9.83527i | −0.0508287 | − | 0.353521i | ||||
\(775\) | 21.9826 | + | 25.3693i | 0.789640 | + | 0.911293i | ||||
\(776\) | −5.88077 | − | 12.8771i | −0.211107 | − | 0.462261i | ||||
\(777\) | −7.67790 | + | 2.25444i | −0.275443 | + | 0.0808774i | ||||
\(778\) | 8.64146 | − | 18.9222i | 0.309811 | − | 0.678392i | ||||
\(779\) | 3.70126 | − | 25.7428i | 0.132611 | − | 0.922331i | ||||
\(780\) | 2.76465 | − | 1.77673i | 0.0989904 | − | 0.0636173i | ||||
\(781\) | 43.4416 | 1.55446 | ||||||||
\(782\) | 17.9452 | − | 16.0795i | 0.641720 | − | 0.575001i | ||||
\(783\) | 6.32490 | 0.226034 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | −0.749099 | + | 5.21010i | −0.0267365 | + | 0.185956i | ||||
\(786\) | −0.874442 | + | 1.91476i | −0.0311903 | + | 0.0682972i | ||||
\(787\) | −10.9299 | + | 3.20929i | −0.389607 | + | 0.114399i | −0.470669 | − | 0.882310i | \(-0.655987\pi\) |
0.0810613 | + | 0.996709i | \(0.474169\pi\) | |||||||
\(788\) | 1.32168 | + | 2.89409i | 0.0470831 | + | 0.103098i | ||||
\(789\) | 18.8103 | + | 21.7082i | 0.669664 | + | 0.772833i | ||||
\(790\) | −0.841104 | − | 5.85001i | −0.0299252 | − | 0.208134i | ||||
\(791\) | 12.6119 | + | 3.70318i | 0.448427 | + | 0.131670i | ||||
\(792\) | −3.25088 | + | 3.75171i | −0.115515 | + | 0.133311i | ||||
\(793\) | 47.3002 | + | 30.3980i | 1.67968 | + | 1.07946i | ||||
\(794\) | −11.0325 | − | 7.09017i | −0.391529 | − | 0.251621i | ||||
\(795\) | −0.506870 | + | 0.584959i | −0.0179768 | + | 0.0207463i | ||||
\(796\) | 8.32118 | + | 2.44332i | 0.294937 | + | 0.0866012i | ||||
\(797\) | 6.43988 | + | 44.7903i | 0.228112 | + | 1.58656i | 0.706050 | + | 0.708162i | \(0.250475\pi\) |
−0.477938 | + | 0.878393i | \(0.658616\pi\) | |||||||
\(798\) | −2.21291 | − | 2.55384i | −0.0783362 | − | 0.0904048i | ||||
\(799\) | 4.94818 | + | 10.8350i | 0.175054 | + | 0.383315i | ||||
\(800\) | 4.45670 | − | 1.30860i | 0.157568 | − | 0.0462661i | ||||
\(801\) | 7.04110 | − | 15.4179i | 0.248785 | − | 0.544764i | ||||
\(802\) | −5.20719 | + | 36.2168i | −0.183872 | + | 1.27886i | ||||
\(803\) | 9.48913 | − | 6.09829i | 0.334864 | − | 0.215204i | ||||
\(804\) | 4.89310 | 0.172566 | ||||||||
\(805\) | −2.12858 | + | 1.90728i | −0.0750228 | + | 0.0672228i | ||||
\(806\) | −39.8532 | −1.40377 | ||||||||
\(807\) | 17.3263 | − | 11.1349i | 0.609915 | − | 0.391969i | ||||
\(808\) | 0.955556 | − | 6.64604i | 0.0336163 | − | 0.233807i | ||||
\(809\) | −10.9032 | + | 23.8747i | −0.383336 | + | 0.839390i | 0.615355 | + | 0.788250i | \(0.289013\pi\) |
−0.998692 | + | 0.0511397i | \(0.983715\pi\) | |||||||
\(810\) | −0.571809 | + | 0.167898i | −0.0200913 | + | 0.00589935i | ||||
\(811\) | 5.33459 | + | 11.6811i | 0.187323 | + | 0.410180i | 0.979872 | − | 0.199629i | \(-0.0639736\pi\) |
−0.792549 | + | 0.609809i | \(0.791246\pi\) | |||||||
\(812\) | −4.14193 | − | 4.78004i | −0.145353 | − | 0.167747i | ||||
\(813\) | 3.87209 | + | 26.9310i | 0.135800 | + | 0.944511i | ||||
\(814\) | −38.1148 | − | 11.1915i | −1.33592 | − | 0.392263i | ||||
\(815\) | 7.53075 | − | 8.69095i | 0.263791 | − | 0.304431i | ||||
\(816\) | −4.22663 | − | 2.71629i | −0.147962 | − | 0.0950892i | ||||
\(817\) | 28.2469 | + | 18.1532i | 0.988235 | + | 0.635100i | ||||
\(818\) | 13.4893 | − | 15.5675i | 0.471642 | − | 0.544304i | ||||
\(819\) | −5.29110 | − | 1.55361i | −0.184886 | − | 0.0542874i | ||||
\(820\) | 0.652745 | + | 4.53994i | 0.0227948 | + | 0.158542i | ||||
\(821\) | −23.3122 | − | 26.9037i | −0.813601 | − | 0.938945i | 0.185443 | − | 0.982655i | \(-0.440628\pi\) |
−0.999044 | + | 0.0437095i | \(0.986082\pi\) | |||||||
\(822\) | 4.04682 | + | 8.86129i | 0.141149 | + | 0.309073i | ||||
\(823\) | −16.6911 | + | 4.90094i | −0.581814 | + | 0.170836i | −0.559378 | − | 0.828912i | \(-0.688960\pi\) |
−0.0224352 | + | 0.999748i | \(0.507142\pi\) | |||||||
\(824\) | −0.325828 | + | 0.713463i | −0.0113507 | + | 0.0248547i | ||||
\(825\) | −3.28150 | + | 22.8233i | −0.114247 | + | 0.794607i | ||||
\(826\) | 0.674856 | − | 0.433704i | 0.0234813 | − | 0.0150905i | ||||
\(827\) | 34.4170 | 1.19680 | 0.598398 | − | 0.801199i | \(-0.295804\pi\) | ||||
0.598398 | + | 0.801199i | \(0.295804\pi\) | |||||||
\(828\) | 2.65951 | + | 3.99086i | 0.0924245 | + | 0.138692i | ||||
\(829\) | 7.46253 | 0.259184 | 0.129592 | − | 0.991567i | \(-0.458633\pi\) | ||||
0.129592 | + | 0.991567i | \(0.458633\pi\) | |||||||
\(830\) | 2.36745 | − | 1.52147i | 0.0821755 | − | 0.0528110i | ||||
\(831\) | −3.00538 | + | 20.9029i | −0.104256 | + | 0.725113i | ||||
\(832\) | −2.29079 | + | 5.01614i | −0.0794190 | + | 0.173903i | ||||
\(833\) | −4.82069 | + | 1.41548i | −0.167027 | + | 0.0490436i | ||||
\(834\) | 8.21623 | + | 17.9910i | 0.284505 | + | 0.622979i | ||||
\(835\) | −9.32536 | − | 10.7620i | −0.322717 | − | 0.372436i | ||||
\(836\) | −2.38735 | − | 16.6044i | −0.0825683 | − | 0.574275i | ||||
\(837\) | 6.93428 | + | 2.03609i | 0.239684 | + | 0.0703775i | ||||
\(838\) | 9.74904 | − | 11.2510i | 0.336775 | − | 0.388659i | ||||
\(839\) | −11.8893 | − | 7.64078i | −0.410463 | − | 0.263789i | 0.319074 | − | 0.947730i | \(-0.396628\pi\) |
−0.729537 | + | 0.683941i | \(0.760265\pi\) | |||||||
\(840\) | 0.501345 | + | 0.322195i | 0.0172980 | + | 0.0111168i | ||||
\(841\) | −7.20634 | + | 8.31656i | −0.248494 | + | 0.286778i | ||||
\(842\) | −18.0522 | − | 5.30060i | −0.622120 | − | 0.182671i | ||||
\(843\) | 2.48342 | + | 17.2726i | 0.0855336 | + | 0.594899i | ||||
\(844\) | 3.33090 | + | 3.84406i | 0.114654 | + | 0.132318i | ||||
\(845\) | 4.30998 | + | 9.43754i | 0.148268 | + | 0.324661i | ||||
\(846\) | −2.27477 | + | 0.667933i | −0.0782083 | + | 0.0229640i | ||||
\(847\) | −5.66772 | + | 12.4106i | −0.194745 | + | 0.426433i | ||||
\(848\) | 0.184837 | − | 1.28557i | 0.00634731 | − | 0.0441465i | ||||
\(849\) | −3.00733 | + | 1.93269i | −0.103211 | + | 0.0663298i | ||||
\(850\) | −23.3367 | −0.800441 | ||||||||
\(851\) | −20.2085 | + | 32.6247i | −0.692737 | + | 1.11836i | ||||
\(852\) | −8.75094 | −0.299802 | ||||||||
\(853\) | −1.81607 | + | 1.16712i | −0.0621811 | + | 0.0399614i | −0.571362 | − | 0.820698i | \(-0.693585\pi\) |
0.509181 | + | 0.860660i | \(0.329948\pi\) | |||||||
\(854\) | −1.45105 | + | 10.0923i | −0.0496539 | + | 0.345351i | ||||
\(855\) | 0.836579 | − | 1.83185i | 0.0286104 | − | 0.0626480i | ||||
\(856\) | 1.97377 | − | 0.579551i | 0.0674620 | − | 0.0198086i | ||||
\(857\) | 18.9763 | + | 41.5522i | 0.648217 | + | 1.41940i | 0.893106 | + | 0.449846i | \(0.148521\pi\) |
−0.244889 | + | 0.969551i | \(0.578752\pi\) | |||||||
\(858\) | −17.9269 | − | 20.6887i | −0.612013 | − | 0.706301i | ||||
\(859\) | 0.717704 | + | 4.99174i | 0.0244877 | + | 0.170316i | 0.998395 | − | 0.0566291i | \(-0.0180353\pi\) |
−0.973908 | + | 0.226945i | \(0.927126\pi\) | |||||||
\(860\) | −5.68173 | − | 1.66831i | −0.193745 | − | 0.0568888i | ||||
\(861\) | 5.04003 | − | 5.81650i | 0.171764 | − | 0.198226i | ||||
\(862\) | 18.0412 | + | 11.5944i | 0.614486 | + | 0.394906i | ||||
\(863\) | 43.8276 | + | 28.1663i | 1.49191 | + | 0.958791i | 0.995899 | + | 0.0904746i | \(0.0288384\pi\) |
0.496010 | + | 0.868317i | \(0.334798\pi\) | |||||||
\(864\) | 0.654861 | − | 0.755750i | 0.0222788 | − | 0.0257111i | ||||
\(865\) | −3.39193 | − | 0.995961i | −0.115329 | − | 0.0338637i | ||||
\(866\) | −1.36443 | − | 9.48983i | −0.0463653 | − | 0.322478i | ||||
\(867\) | 5.39780 | + | 6.22939i | 0.183319 | + | 0.211561i | ||||
\(868\) | −3.00222 | − | 6.57393i | −0.101902 | − | 0.223134i | ||||
\(869\) | −47.2371 | + | 13.8701i | −1.60241 | + | 0.470510i | ||||
\(870\) | 1.56583 | − | 3.42870i | 0.0530867 | − | 0.116244i | ||||
\(871\) | −3.84006 | + | 26.7082i | −0.130115 | + | 0.904973i | ||||
\(872\) | −8.05729 | + | 5.17810i | −0.272854 | + | 0.175353i | ||||
\(873\) | −14.1564 | −0.479121 | ||||||||
\(874\) | −16.0773 | − | 2.03946i | −0.543822 | − | 0.0689858i | ||||
\(875\) | 5.74784 | 0.194313 | ||||||||
\(876\) | −1.91150 | + | 1.22845i | −0.0645837 | + | 0.0415054i | ||||
\(877\) | −8.18257 | + | 56.9110i | −0.276306 | + | 1.92175i | 0.0994772 | + | 0.995040i | \(0.468283\pi\) |
−0.375783 | + | 0.926708i | \(0.622626\pi\) | |||||||
\(878\) | −8.45439 | + | 18.5125i | −0.285322 | + | 0.624768i | ||||
\(879\) | 19.7487 | − | 5.79876i | 0.666109 | − | 0.195587i | ||||
\(880\) | 1.22898 | + | 2.69108i | 0.0414287 | + | 0.0907163i | ||||
\(881\) | −10.0173 | − | 11.5606i | −0.337492 | − | 0.389487i | 0.561481 | − | 0.827489i | \(-0.310232\pi\) |
−0.898974 | + | 0.438002i | \(0.855686\pi\) | |||||||
\(882\) | −0.142315 | − | 0.989821i | −0.00479199 | − | 0.0333290i | ||||
\(883\) | −4.44849 | − | 1.30620i | −0.149704 | − | 0.0439570i | 0.206022 | − | 0.978547i | \(-0.433948\pi\) |
−0.355726 | + | 0.934590i | \(0.615766\pi\) | |||||||
\(884\) | 18.1435 | − | 20.9387i | 0.610231 | − | 0.704244i | ||||
\(885\) | 0.402180 | + | 0.258466i | 0.0135191 | + | 0.00868823i | ||||
\(886\) | 22.2023 | + | 14.2685i | 0.745901 | + | 0.479361i | ||||
\(887\) | −13.8628 | + | 15.9985i | −0.465466 | + | 0.537177i | −0.939145 | − | 0.343521i | \(-0.888380\pi\) |
0.473679 | + | 0.880698i | \(0.342926\pi\) | |||||||
\(888\) | 7.67790 | + | 2.25444i | 0.257654 | + | 0.0756539i | ||||
\(889\) | 1.54509 | + | 10.7463i | 0.0518205 | + | 0.360419i | ||||
\(890\) | −6.61481 | − | 7.63389i | −0.221729 | − | 0.255889i | ||||
\(891\) | 2.06221 | + | 4.51562i | 0.0690867 | + | 0.151279i | ||||
\(892\) | −21.9818 | + | 6.45444i | −0.736005 | + | 0.216111i | ||||
\(893\) | 3.32808 | − | 7.28747i | 0.111370 | − | 0.243866i | ||||
\(894\) | −0.550567 | + | 3.82928i | −0.0184137 | + | 0.128070i | ||||
\(895\) | 8.73246 | − | 5.61201i | 0.291894 | − | 0.187589i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −23.8707 | + | 11.3845i | −0.797018 | + | 0.380119i | ||||
\(898\) | 10.7211 | 0.357767 | ||||||||
\(899\) | −38.4539 | + | 24.7128i | −1.28251 | + | 0.824219i | ||||
\(900\) | 0.661030 | − | 4.59757i | 0.0220343 | − | 0.153252i | ||||
\(901\) | −2.71074 | + | 5.93569i | −0.0903078 | + | 0.197746i | ||||
\(902\) | 36.6587 | − | 10.7640i | 1.22060 | − | 0.358401i | ||||
\(903\) | 4.12773 | + | 9.03847i | 0.137362 | + | 0.300781i | ||||
\(904\) | −8.60770 | − | 9.93381i | −0.286288 | − | 0.330394i | ||||
\(905\) | −0.219542 | − | 1.52695i | −0.00729783 | − | 0.0507575i | ||||
\(906\) | 17.0048 | + | 4.99305i | 0.564946 | + | 0.165883i | ||||
\(907\) | −11.4836 | + | 13.2528i | −0.381308 | + | 0.440052i | −0.913665 | − | 0.406467i | \(-0.866761\pi\) |
0.532358 | + | 0.846519i | \(0.321306\pi\) | |||||||
\(908\) | −13.6485 | − | 8.77137i | −0.452942 | − | 0.291088i | ||||
\(909\) | −5.64850 | − | 3.63007i | −0.187349 | − | 0.120402i | ||||
\(910\) | −2.15210 | + | 2.48366i | −0.0713414 | + | 0.0823324i | ||||
\(911\) | −50.0752 | − | 14.7034i | −1.65907 | − | 0.487145i | −0.687950 | − | 0.725758i | \(-0.741489\pi\) |
−0.971115 | + | 0.238612i | \(0.923307\pi\) | |||||||
\(912\) | 0.480912 | + | 3.34481i | 0.0159246 | + | 0.110758i | ||||
\(913\) | −15.3513 | − | 17.7164i | −0.508054 | − | 0.586326i | ||||
\(914\) | −5.09864 | − | 11.1645i | −0.168648 | − | 0.369288i | ||||
\(915\) | −5.83020 | + | 1.71190i | −0.192741 | + | 0.0565937i | ||||
\(916\) | 5.84503 | − | 12.7988i | 0.193125 | − | 0.422885i | ||||
\(917\) | 0.299570 | − | 2.08356i | 0.00989268 | − | 0.0688051i | ||||
\(918\) | −4.22663 | + | 2.71629i | −0.139500 | + | 0.0896510i | ||||
\(919\) | 47.4984 | 1.56683 | 0.783413 | − | 0.621501i | \(-0.213477\pi\) | ||||
0.783413 | + | 0.621501i | \(0.213477\pi\) | |||||||
\(920\) | 2.82183 | − | 0.453705i | 0.0930331 | − | 0.0149582i | ||||
\(921\) | −20.5819 | −0.678198 | ||||||||
\(922\) | 10.7916 | − | 6.93534i | 0.355402 | − | 0.228403i | ||||
\(923\) | 6.86766 | − | 47.7656i | 0.226052 | − | 1.57222i | ||||
\(924\) | 2.06221 | − | 4.51562i | 0.0678418 | − | 0.148553i | ||||
\(925\) | 35.6627 | − | 10.4715i | 1.17258 | − | 0.344301i | ||||
\(926\) | −11.7334 | − | 25.6926i | −0.385583 | − | 0.844310i | ||||
\(927\) | 0.513635 | + | 0.592766i | 0.0168700 | + | 0.0194690i | ||||
\(928\) | 0.900127 | + | 6.26052i | 0.0295481 | + | 0.205512i | ||||
\(929\) | 9.29647 | + | 2.72969i | 0.305007 | + | 0.0895582i | 0.430655 | − | 0.902517i | \(-0.358283\pi\) |
−0.125648 | + | 0.992075i | \(0.540101\pi\) | |||||||
\(930\) | 2.82045 | − | 3.25497i | 0.0924861 | − | 0.106735i | ||||
\(931\) | 2.84277 | + | 1.82694i | 0.0931681 | + | 0.0598755i | ||||
\(932\) | 16.7647 | + | 10.7740i | 0.549145 | + | 0.352914i | ||||
\(933\) | −2.82099 | + | 3.25559i | −0.0923549 | + | 0.106583i | ||||
\(934\) | −15.3117 | − | 4.49593i | −0.501015 | − | 0.147111i | ||||
\(935\) | −2.11533 | − | 14.7125i | −0.0691788 | − | 0.481149i | ||||
\(936\) | 3.61121 | + | 4.16756i | 0.118036 | + | 0.136221i | ||||
\(937\) | 3.57095 | + | 7.81929i | 0.116658 | + | 0.255445i | 0.958949 | − | 0.283577i | \(-0.0915212\pi\) |
−0.842292 | + | 0.539022i | \(0.818794\pi\) | |||||||
\(938\) | −4.69489 | + | 1.37854i | −0.153294 | + | 0.0450111i | ||||
\(939\) | 3.17205 | − | 6.94582i | 0.103516 | − | 0.226668i | ||||
\(940\) | −0.201074 | + | 1.39850i | −0.00655831 | + | 0.0456140i | ||||
\(941\) | −23.6080 | + | 15.1720i | −0.769599 | + | 0.494592i | −0.865567 | − | 0.500793i | \(-0.833042\pi\) |
0.0959677 | + | 0.995384i | \(0.469405\pi\) | |||||||
\(942\) | −8.83242 | −0.287776 | ||||||||
\(943\) | −0.613418 | − | 36.9052i | −0.0199756 | − | 1.20180i | ||||
\(944\) | −0.802203 | −0.0261095 | ||||||||
\(945\) | 0.501345 | − | 0.322195i | 0.0163087 | − | 0.0104810i | ||||
\(946\) | −7.01990 | + | 48.8245i | −0.228237 | + | 1.58742i | ||||
\(947\) | −13.9642 | + | 30.5774i | −0.453776 | + | 0.993631i | 0.535086 | + | 0.844798i | \(0.320279\pi\) |
−0.988862 | + | 0.148834i | \(0.952448\pi\) | |||||||
\(948\) | 9.51551 | − | 2.79401i | 0.309049 | − | 0.0907451i | ||||
\(949\) | −5.20516 | − | 11.3977i | −0.168967 | − | 0.369986i | ||||
\(950\) | 10.2786 | + | 11.8622i | 0.333483 | + | 0.384860i | ||||
\(951\) | −4.34381 | − | 30.2119i | −0.140858 | − | 0.979687i | ||||
\(952\) | 4.82069 | + | 1.41548i | 0.156240 | + | 0.0458761i | ||||
\(953\) | 16.8396 | − | 19.4339i | 0.545488 | − | 0.629526i | −0.414338 | − | 0.910123i | \(-0.635987\pi\) |
0.959826 | + | 0.280597i | \(0.0905324\pi\) | |||||||
\(954\) | −1.09261 | − | 0.702177i | −0.0353745 | − | 0.0227338i | ||||
\(955\) | 1.38404 | + | 0.889468i | 0.0447865 | + | 0.0287825i | ||||
\(956\) | 6.14404 | − | 7.09060i | 0.198713 | − | 0.229326i | ||||
\(957\) | −30.1264 | − | 8.84590i | −0.973848 | − | 0.285947i | ||||
\(958\) | −0.196870 | − | 1.36926i | −0.00636058 | − | 0.0442388i | ||||
\(959\) | −6.37941 | − | 7.36223i | −0.206002 | − | 0.237739i | ||||
\(960\) | −0.247566 | − | 0.542095i | −0.00799017 | − | 0.0174960i | ||||
\(961\) | −20.3700 | + | 5.98116i | −0.657095 | + | 0.192941i | ||||
\(962\) | −18.3310 | + | 40.1394i | −0.591016 | + | 1.29414i | ||||
\(963\) | 0.292755 | − | 2.03616i | 0.00943390 | − | 0.0656142i | ||||
\(964\) | −25.7064 | + | 16.5205i | −0.827948 | + | 0.532090i | ||||
\(965\) | −2.66420 | −0.0857636 | ||||||||
\(966\) | −3.67614 | − | 3.07993i | −0.118278 | − | 0.0990952i | ||||
\(967\) | −3.07208 | −0.0987914 | −0.0493957 | − | 0.998779i | \(-0.515730\pi\) | ||||
−0.0493957 | + | 0.998779i | \(0.515730\pi\) | |||||||
\(968\) | 11.4777 | − | 7.37624i | 0.368906 | − | 0.237081i | ||||
\(969\) | 2.41620 | − | 16.8050i | 0.0776195 | − | 0.539856i | ||||
\(970\) | −3.50465 | + | 7.67410i | −0.112527 | + | 0.246401i | ||||
\(971\) | 25.3960 | − | 7.45694i | 0.814997 | − | 0.239305i | 0.152436 | − | 0.988313i | \(-0.451288\pi\) |
0.662560 | + | 0.749009i | \(0.269470\pi\) | |||||||
\(972\) | −0.415415 | − | 0.909632i | −0.0133244 | − | 0.0291765i | ||||
\(973\) | −12.9521 | − | 14.9475i | −0.415225 | − | 0.479195i | ||||
\(974\) | 3.21476 | + | 22.3591i | 0.103007 | + | 0.716432i | ||||
\(975\) | 24.5763 | + | 7.21626i | 0.787072 | + | 0.231105i | ||||
\(976\) | 6.67700 | − | 7.70567i | 0.213726 | − | 0.246652i | ||||
\(977\) | 51.3043 | + | 32.9713i | 1.64137 | + | 1.05484i | 0.939506 | + | 0.342533i | \(0.111285\pi\) |
0.701864 | + | 0.712311i | \(0.252352\pi\) | |||||||
\(978\) | 16.2333 | + | 10.4325i | 0.519084 | + | 0.333595i | ||||
\(979\) | −55.1009 | + | 63.5899i | −1.76103 | + | 2.03234i | ||||
\(980\) | −0.571809 | − | 0.167898i | −0.0182658 | − | 0.00536332i | ||||
\(981\) | 1.36305 | + | 9.48023i | 0.0435189 | + | 0.302680i | ||||
\(982\) | −27.7542 | − | 32.0301i | −0.885673 | − | 1.02212i | ||||
\(983\) | 6.40071 | + | 14.0156i | 0.204151 | + | 0.447028i | 0.983819 | − | 0.179165i | \(-0.0573395\pi\) |
−0.779668 | + | 0.626193i | \(0.784612\pi\) | |||||||
\(984\) | −7.38458 | + | 2.16831i | −0.235412 | + | 0.0691231i | ||||
\(985\) | 0.787658 | − | 1.72473i | 0.0250969 | − | 0.0549545i | ||||
\(986\) | 4.52243 | − | 31.4542i | 0.144023 | − | 1.00170i | ||||
\(987\) | 1.99445 | − | 1.28175i | 0.0634840 | − | 0.0407987i | ||||
\(988\) | −18.6346 | −0.592844 | ||||||||
\(989\) | 43.6700 | + | 19.0728i | 1.38862 | + | 0.606479i | ||||
\(990\) | 2.95843 | 0.0940250 | ||||||||
\(991\) | 19.3821 | − | 12.4561i | 0.615694 | − | 0.395683i | −0.195294 | − | 0.980745i | \(-0.562566\pi\) |
0.810989 | + | 0.585062i | \(0.198930\pi\) | |||||||
\(992\) | −1.02851 | + | 7.15347i | −0.0326553 | + | 0.227123i | ||||
\(993\) | 2.65147 | − | 5.80590i | 0.0841417 | − | 0.184245i | ||||
\(994\) | 8.39646 | − | 2.46542i | 0.266320 | − | 0.0781985i | ||||
\(995\) | −2.14701 | − | 4.70131i | −0.0680649 | − | 0.149041i | ||||
\(996\) | 3.09239 | + | 3.56881i | 0.0979861 | + | 0.113082i | ||||
\(997\) | −6.42252 | − | 44.6696i | −0.203403 | − | 1.41470i | −0.794091 | − | 0.607799i | \(-0.792053\pi\) |
0.590688 | − | 0.806900i | \(-0.298857\pi\) | |||||||
\(998\) | −20.5767 | − | 6.04186i | −0.651343 | − | 0.191252i | ||||
\(999\) | 5.24022 | − | 6.04754i | 0.165793 | − | 0.191336i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.q.j.127.2 | ✓ | 40 | |
23.2 | even | 11 | inner | 966.2.q.j.715.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.j.127.2 | ✓ | 40 | 1.1 | even | 1 | trivial | |
966.2.q.j.715.2 | yes | 40 | 23.2 | even | 11 | inner |