Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(23,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.u (of order \(33\), degree \(20\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(1720\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 23.20 | ||
Character | \(\chi\) | \(=\) | 847.23 |
Dual form | 847.2.u.a.221.20 |
$q$-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 \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02678 | − | 1.44191i | −0.726040 | − | 1.01958i | −0.998353 | − | 0.0573721i | \(-0.981728\pi\) |
0.272313 | − | 0.962209i | \(-0.412212\pi\) | |||||||
\(3\) | 0.607575 | + | 1.05235i | 0.350784 | + | 0.607575i | 0.986387 | − | 0.164441i | \(-0.0525819\pi\) |
−0.635603 | + | 0.772016i | \(0.719249\pi\) | |||||||
\(4\) | −0.370686 | + | 1.07103i | −0.185343 | + | 0.535513i | ||||
\(5\) | 2.00114 | − | 1.90808i | 0.894936 | − | 0.853320i | −0.0949067 | − | 0.995486i | \(-0.530255\pi\) |
0.989843 | + | 0.142166i | \(0.0454068\pi\) | |||||||
\(6\) | 0.893547 | − | 1.95660i | 0.364789 | − | 0.798777i | ||||
\(7\) | 0.986575 | + | 2.45493i | 0.372890 | + | 0.927875i | ||||
\(8\) | −1.47193 | + | 0.432196i | −0.520404 | + | 0.152805i | ||||
\(9\) | 0.761704 | − | 1.31931i | 0.253901 | − | 0.439770i | ||||
\(10\) | −4.80599 | − | 0.926279i | −1.51979 | − | 0.292915i | ||||
\(11\) | −1.30719 | + | 3.04816i | −0.394133 | + | 0.919053i | ||||
\(12\) | −1.35231 | + | 0.260637i | −0.390380 | + | 0.0752395i | ||||
\(13\) | −2.60065 | − | 3.00130i | −0.721289 | − | 0.832412i | 0.270172 | − | 0.962812i | \(-0.412919\pi\) |
−0.991461 | + | 0.130400i | \(0.958374\pi\) | |||||||
\(14\) | 2.52678 | − | 3.94321i | 0.675311 | − | 1.05387i | ||||
\(15\) | 3.22381 | + | 0.946597i | 0.832385 | + | 0.244410i | ||||
\(16\) | 3.91629 | + | 3.07980i | 0.979071 | + | 0.769950i | ||||
\(17\) | 0.275441 | − | 5.78221i | 0.0668042 | − | 1.40239i | −0.677977 | − | 0.735084i | \(-0.737143\pi\) |
0.744781 | − | 0.667309i | \(-0.232554\pi\) | |||||||
\(18\) | −2.68442 | + | 0.256331i | −0.632724 | + | 0.0604178i | ||||
\(19\) | −0.334006 | − | 7.01166i | −0.0766263 | − | 1.60858i | −0.630639 | − | 0.776076i | \(-0.717207\pi\) |
0.554013 | − | 0.832508i | \(-0.313096\pi\) | |||||||
\(20\) | 1.30181 | + | 2.85057i | 0.291094 | + | 0.637406i | ||||
\(21\) | −1.98403 | + | 2.52978i | −0.432951 | + | 0.552043i | ||||
\(22\) | 5.73734 | − | 1.24493i | 1.22321 | − | 0.265419i | ||||
\(23\) | −1.65865 | − | 1.30437i | −0.345852 | − | 0.271981i | 0.430089 | − | 0.902786i | \(-0.358482\pi\) |
−0.775941 | + | 0.630806i | \(0.782725\pi\) | |||||||
\(24\) | −1.34913 | − | 1.28639i | −0.275390 | − | 0.262584i | ||||
\(25\) | 0.125870 | − | 2.64233i | 0.0251739 | − | 0.528466i | ||||
\(26\) | −1.65732 | + | 6.83155i | −0.325027 | + | 1.33978i | ||||
\(27\) | 5.49662 | 1.05783 | ||||||||
\(28\) | −2.99500 | + | 0.146640i | −0.566002 | + | 0.0277124i | ||||
\(29\) | 4.52146 | − | 2.90577i | 0.839614 | − | 0.539587i | −0.0487054 | − | 0.998813i | \(-0.515510\pi\) |
0.888319 | + | 0.459226i | \(0.151873\pi\) | |||||||
\(30\) | −1.94523 | − | 5.62038i | −0.355149 | − | 1.02614i | ||||
\(31\) | 4.49884 | + | 0.867080i | 0.808016 | + | 0.155732i | 0.576498 | − | 0.817098i | \(-0.304419\pi\) |
0.231518 | + | 0.972831i | \(0.425631\pi\) | |||||||
\(32\) | 0.273645 | − | 5.74452i | 0.0483741 | − | 1.01550i | ||||
\(33\) | −4.00195 | + | 0.476360i | −0.696650 | + | 0.0829236i | ||||
\(34\) | −8.62022 | + | 5.53988i | −1.47836 | + | 0.950081i | ||||
\(35\) | 6.65847 | + | 3.03018i | 1.12549 | + | 0.512195i | ||||
\(36\) | 1.13066 | + | 1.30485i | 0.188444 | + | 0.217476i | ||||
\(37\) | 2.61397 | + | 7.55257i | 0.429734 | + | 1.24163i | 0.927336 | + | 0.374229i | \(0.122093\pi\) |
−0.497602 | + | 0.867405i | \(0.665786\pi\) | |||||||
\(38\) | −9.76720 | + | 7.68101i | −1.58445 | + | 1.24602i | ||||
\(39\) | 1.57834 | − | 4.56031i | 0.252737 | − | 0.730234i | ||||
\(40\) | −2.12086 | + | 3.67344i | −0.335338 | + | 0.580822i | ||||
\(41\) | 2.14293 | − | 4.69236i | 0.334669 | − | 0.732823i | −0.665235 | − | 0.746634i | \(-0.731669\pi\) |
0.999905 | + | 0.0138103i | \(0.00439609\pi\) | |||||||
\(42\) | 5.68485 | + | 0.263266i | 0.877192 | + | 0.0406229i | ||||
\(43\) | 7.86525 | − | 2.30945i | 1.19944 | − | 0.352187i | 0.379801 | − | 0.925068i | \(-0.375992\pi\) |
0.819639 | + | 0.572881i | \(0.194174\pi\) | |||||||
\(44\) | −2.78010 | − | 2.52994i | −0.419115 | − | 0.381403i | ||||
\(45\) | −0.993076 | − | 4.09352i | −0.148039 | − | 0.610225i | ||||
\(46\) | −0.177725 | + | 3.73091i | −0.0262041 | + | 0.550093i | ||||
\(47\) | −0.682923 | − | 0.0652112i | −0.0996145 | − | 0.00951203i | 0.0451297 | − | 0.998981i | \(-0.485630\pi\) |
−0.144744 | + | 0.989469i | \(0.546236\pi\) | |||||||
\(48\) | −0.861594 | + | 5.99252i | −0.124360 | + | 0.864946i | ||||
\(49\) | −5.05334 | + | 4.84394i | −0.721906 | + | 0.691991i | ||||
\(50\) | −3.93923 | + | 2.53159i | −0.557091 | + | 0.358021i | ||||
\(51\) | 6.25227 | − | 3.22327i | 0.875493 | − | 0.451348i | ||||
\(52\) | 4.17850 | − | 1.67282i | 0.579453 | − | 0.231978i | ||||
\(53\) | −1.32071 | + | 1.03862i | −0.181413 | + | 0.142665i | −0.704736 | − | 0.709469i | \(-0.748935\pi\) |
0.523323 | + | 0.852135i | \(0.324692\pi\) | |||||||
\(54\) | −5.64380 | − | 7.92561i | −0.768024 | − | 1.07854i | ||||
\(55\) | 3.20026 | + | 8.59401i | 0.431523 | + | 1.15882i | ||||
\(56\) | −2.51318 | − | 3.18708i | −0.335837 | − | 0.425891i | ||||
\(57\) | 7.17580 | − | 4.61160i | 0.950457 | − | 0.610822i | ||||
\(58\) | −8.83237 | − | 3.53595i | −1.15975 | − | 0.464292i | ||||
\(59\) | 4.36073 | − | 6.12379i | 0.567719 | − | 0.797249i | −0.426516 | − | 0.904480i | \(-0.640259\pi\) |
0.994234 | + | 0.107231i | \(0.0341985\pi\) | |||||||
\(60\) | −2.20885 | + | 3.10190i | −0.285161 | + | 0.400453i | ||||
\(61\) | −7.69186 | − | 0.734483i | −0.984841 | − | 0.0940409i | −0.409809 | − | 0.912171i | \(-0.634405\pi\) |
−0.575033 | + | 0.818131i | \(0.695011\pi\) | |||||||
\(62\) | −3.36905 | − | 7.37720i | −0.427870 | − | 0.936905i | ||||
\(63\) | 3.99029 | + | 0.568331i | 0.502729 | + | 0.0716029i | ||||
\(64\) | −0.181414 | + | 0.116588i | −0.0226768 | + | 0.0145735i | ||||
\(65\) | −10.9310 | − | 1.04378i | −1.35582 | − | 0.129465i | ||||
\(66\) | 4.79597 | + | 5.28131i | 0.590343 | + | 0.650085i | ||||
\(67\) | −7.19463 | + | 0.687004i | −0.878964 | + | 0.0839309i | −0.524773 | − | 0.851242i | \(-0.675850\pi\) |
−0.354191 | + | 0.935173i | \(0.615244\pi\) | |||||||
\(68\) | 6.09080 | + | 2.43839i | 0.738618 | + | 0.295698i | ||||
\(69\) | 0.364907 | − | 2.53798i | 0.0439296 | − | 0.305537i | ||||
\(70\) | −2.46752 | − | 12.7122i | −0.294925 | − | 1.51940i | ||||
\(71\) | 8.56067 | − | 5.50161i | 1.01596 | − | 0.652921i | 0.0770344 | − | 0.997028i | \(-0.475455\pi\) |
0.938930 | + | 0.344108i | \(0.111819\pi\) | |||||||
\(72\) | −0.550971 | + | 2.27113i | −0.0649325 | + | 0.267656i | ||||
\(73\) | 2.62154 | − | 1.04951i | 0.306829 | − | 0.122836i | −0.213138 | − | 0.977022i | \(-0.568369\pi\) |
0.519967 | + | 0.854186i | \(0.325944\pi\) | |||||||
\(74\) | 8.20613 | − | 11.5239i | 0.953943 | − | 1.33963i | ||||
\(75\) | 2.85714 | − | 1.47296i | 0.329914 | − | 0.170082i | ||||
\(76\) | 7.63348 | + | 2.24139i | 0.875620 | + | 0.257105i | ||||
\(77\) | −8.77264 | − | 0.201827i | −0.999735 | − | 0.0230003i | ||||
\(78\) | −8.19614 | + | 2.40660i | −0.928030 | + | 0.272494i | ||||
\(79\) | −5.52833 | + | 5.27125i | −0.621985 | + | 0.593062i | −0.934113 | − | 0.356978i | \(-0.883807\pi\) |
0.312127 | + | 0.950040i | \(0.398958\pi\) | |||||||
\(80\) | 13.7135 | − | 1.30948i | 1.53322 | − | 0.146405i | ||||
\(81\) | 1.05450 | + | 1.82645i | 0.117167 | + | 0.202939i | ||||
\(82\) | −8.96624 | + | 1.72810i | −0.990156 | + | 0.190837i | ||||
\(83\) | −1.43289 | − | 9.96596i | −0.157280 | − | 1.09391i | −0.903618 | − | 0.428339i | \(-0.859099\pi\) |
0.746338 | − | 0.665567i | \(-0.231810\pi\) | |||||||
\(84\) | −1.97401 | − | 3.06270i | −0.215382 | − | 0.334168i | ||||
\(85\) | −10.4817 | − | 12.0966i | −1.13690 | − | 1.31206i | ||||
\(86\) | −11.4059 | − | 8.96967i | −1.22993 | − | 0.967224i | ||||
\(87\) | 5.80502 | + | 2.99269i | 0.622363 | + | 0.320850i | ||||
\(88\) | 0.606686 | − | 5.05162i | 0.0646730 | − | 0.538505i | ||||
\(89\) | 12.3077 | − | 6.34505i | 1.30461 | − | 0.672574i | 0.341046 | − | 0.940047i | \(-0.389219\pi\) |
0.963565 | + | 0.267473i | \(0.0861885\pi\) | |||||||
\(90\) | −4.88279 | + | 5.63504i | −0.514692 | + | 0.593986i | ||||
\(91\) | 4.80226 | − | 9.34541i | 0.503413 | − | 0.979665i | ||||
\(92\) | 2.01185 | − | 1.29294i | 0.209750 | − | 0.134798i | ||||
\(93\) | 1.82091 | + | 5.26118i | 0.188820 | + | 0.545559i | ||||
\(94\) | 0.607180 | + | 1.05167i | 0.0626259 | + | 0.108471i | ||||
\(95\) | −14.0472 | − | 13.3940i | −1.44121 | − | 1.37419i | ||||
\(96\) | 6.21152 | − | 3.20226i | 0.633960 | − | 0.326829i | ||||
\(97\) | −8.90359 | + | 2.61433i | −0.904023 | + | 0.265445i | −0.700523 | − | 0.713630i | \(-0.747050\pi\) |
−0.203500 | + | 0.979075i | \(0.565232\pi\) | |||||||
\(98\) | 12.1731 | + | 2.31280i | 1.22967 | + | 0.233628i | ||||
\(99\) | 3.02577 | + | 4.04638i | 0.304101 | + | 0.406677i | ||||
\(100\) | 2.78335 | + | 1.11428i | 0.278335 | + | 0.111428i | ||||
\(101\) | −5.87684 | + | 8.25287i | −0.584768 | + | 0.821191i | −0.995907 | − | 0.0903812i | \(-0.971191\pi\) |
0.411140 | + | 0.911572i | \(0.365131\pi\) | |||||||
\(102\) | −11.0673 | − | 5.70561i | −1.09583 | − | 0.564939i | ||||
\(103\) | 7.52512 | + | 10.5676i | 0.741472 | + | 1.04125i | 0.997220 | + | 0.0745083i | \(0.0237387\pi\) |
−0.255748 | + | 0.966743i | \(0.582322\pi\) | |||||||
\(104\) | 5.12511 | + | 3.29371i | 0.502558 | + | 0.322975i | ||||
\(105\) | 0.856705 | + | 8.84812i | 0.0836059 | + | 0.863488i | ||||
\(106\) | 2.85366 | + | 0.837910i | 0.277172 | + | 0.0813850i | ||||
\(107\) | −1.40978 | + | 1.34422i | −0.136289 | + | 0.129951i | −0.755158 | − | 0.655543i | \(-0.772440\pi\) |
0.618869 | + | 0.785494i | \(0.287591\pi\) | |||||||
\(108\) | −2.03752 | + | 5.88702i | −0.196060 | + | 0.566479i | ||||
\(109\) | −4.72735 | + | 13.6588i | −0.452798 | + | 1.30828i | 0.455606 | + | 0.890182i | \(0.349423\pi\) |
−0.908404 | + | 0.418093i | \(0.862698\pi\) | |||||||
\(110\) | 9.10579 | − | 13.4386i | 0.868203 | − | 1.28132i | ||||
\(111\) | −6.35977 | + | 7.33957i | −0.603643 | + | 0.696641i | ||||
\(112\) | −3.69698 | + | 12.6527i | −0.349332 | + | 1.19556i | ||||
\(113\) | −12.3477 | + | 3.62561i | −1.16157 | + | 0.341068i | −0.805043 | − | 0.593216i | \(-0.797858\pi\) |
−0.356529 | + | 0.934284i | \(0.616040\pi\) | |||||||
\(114\) | −14.0174 | − | 5.61173i | −1.31285 | − | 0.525587i | ||||
\(115\) | −5.80803 | + | 0.554600i | −0.541602 | + | 0.0517167i | ||||
\(116\) | 1.43611 | + | 5.91973i | 0.133339 | + | 0.549633i | ||||
\(117\) | −5.94057 | + | 1.14495i | −0.549206 | + | 0.105851i | ||||
\(118\) | −13.3074 | −1.22505 | ||||||||
\(119\) | 14.4667 | − | 5.02840i | 1.32616 | − | 0.460952i | ||||
\(120\) | −5.15433 | −0.470524 | ||||||||
\(121\) | −7.58250 | − | 7.96904i | −0.689319 | − | 0.724458i | ||||
\(122\) | 6.83876 | + | 11.8451i | 0.619152 | + | 1.07240i | ||||
\(123\) | 6.24000 | − | 0.595848i | 0.562642 | − | 0.0537258i | ||||
\(124\) | −2.59632 | + | 4.49696i | −0.233156 | + | 0.403839i | ||||
\(125\) | 4.26361 | + | 4.92047i | 0.381349 | + | 0.440100i | ||||
\(126\) | −3.27765 | − | 6.33717i | −0.291997 | − | 0.564560i | ||||
\(127\) | −3.01593 | + | 6.60396i | −0.267620 | + | 0.586007i | −0.994960 | − | 0.100271i | \(-0.968029\pi\) |
0.727340 | + | 0.686277i | \(0.240756\pi\) | |||||||
\(128\) | −10.3238 | − | 4.13301i | −0.912501 | − | 0.365310i | ||||
\(129\) | 7.20908 | + | 6.87385i | 0.634725 | + | 0.605209i | ||||
\(130\) | 9.71864 | + | 16.8332i | 0.852381 | + | 1.47637i | ||||
\(131\) | 6.26060 | + | 18.0888i | 0.546992 | + | 1.58043i | 0.791751 | + | 0.610844i | \(0.209170\pi\) |
−0.244759 | + | 0.969584i | \(0.578709\pi\) | |||||||
\(132\) | 0.973271 | − | 4.46277i | 0.0847123 | − | 0.388434i | ||||
\(133\) | 16.8836 | − | 7.73749i | 1.46399 | − | 0.670925i | ||||
\(134\) | 8.37787 | + | 9.66857i | 0.723737 | + | 0.835237i | ||||
\(135\) | 10.9995 | − | 10.4880i | 0.946686 | − | 0.902664i | ||||
\(136\) | 2.09362 | + | 8.63003i | 0.179527 | + | 0.740019i | ||||
\(137\) | −16.4834 | + | 6.59895i | −1.40827 | + | 0.563786i | −0.946352 | − | 0.323137i | \(-0.895263\pi\) |
−0.461918 | + | 0.886923i | \(0.652838\pi\) | |||||||
\(138\) | −4.03421 | + | 2.07978i | −0.343415 | + | 0.177043i | ||||
\(139\) | −8.25445 | + | 18.0747i | −0.700133 | + | 1.53308i | 0.139677 | + | 0.990197i | \(0.455394\pi\) |
−0.839810 | + | 0.542880i | \(0.817334\pi\) | |||||||
\(140\) | −5.71361 | + | 6.00815i | −0.482888 | + | 0.507781i | ||||
\(141\) | −0.346302 | − | 0.758295i | −0.0291639 | − | 0.0638600i | ||||
\(142\) | −16.7227 | − | 6.69475i | −1.40334 | − | 0.561811i | ||||
\(143\) | 12.5480 | − | 4.00389i | 1.04932 | − | 0.334822i | ||||
\(144\) | 7.04626 | − | 2.82090i | 0.587189 | − | 0.235075i | ||||
\(145\) | 3.50363 | − | 14.4422i | 0.290960 | − | 1.19936i | ||||
\(146\) | −4.20503 | − | 2.70241i | −0.348011 | − | 0.223653i | ||||
\(147\) | −8.16781 | − | 2.37483i | −0.673670 | − | 0.195873i | ||||
\(148\) | −9.05796 | −0.744559 | ||||||||
\(149\) | −3.57214 | − | 10.3210i | −0.292641 | − | 0.845532i | −0.991481 | − | 0.130253i | \(-0.958421\pi\) |
0.698839 | − | 0.715279i | \(-0.253700\pi\) | |||||||
\(150\) | −5.05750 | − | 2.60732i | −0.412943 | − | 0.212887i | ||||
\(151\) | 11.2212 | + | 2.16271i | 0.913167 | + | 0.175998i | 0.624131 | − | 0.781320i | \(-0.285453\pi\) |
0.289036 | + | 0.957318i | \(0.406665\pi\) | |||||||
\(152\) | 3.52205 | + | 10.1763i | 0.285676 | + | 0.825406i | ||||
\(153\) | −7.41873 | − | 4.76773i | −0.599769 | − | 0.385448i | ||||
\(154\) | 8.71652 | + | 12.8565i | 0.702398 | + | 1.03601i | ||||
\(155\) | 10.6573 | − | 6.84901i | 0.856012 | − | 0.550125i | ||||
\(156\) | 4.29914 | + | 3.38088i | 0.344207 | + | 0.270687i | ||||
\(157\) | 2.66601 | − | 7.70292i | 0.212770 | − | 0.614760i | −0.787228 | − | 0.616662i | \(-0.788484\pi\) |
0.999998 | + | 0.00190258i | \(0.000605609\pi\) | |||||||
\(158\) | 13.2770 | + | 2.55893i | 1.05626 | + | 0.203578i | ||||
\(159\) | −1.89542 | − | 0.758812i | −0.150317 | − | 0.0601777i | ||||
\(160\) | −10.4134 | − | 12.0177i | −0.823252 | − | 0.950084i | ||||
\(161\) | 1.56577 | − | 5.35872i | 0.123400 | − | 0.422326i | ||||
\(162\) | 1.55083 | − | 3.39584i | 0.121845 | − | 0.266803i | ||||
\(163\) | 2.48503 | − | 2.36947i | 0.194643 | − | 0.185591i | −0.586490 | − | 0.809956i | \(-0.699491\pi\) |
0.781133 | + | 0.624365i | \(0.214642\pi\) | |||||||
\(164\) | 4.23128 | + | 4.03452i | 0.330408 | + | 0.315043i | ||||
\(165\) | −7.09952 | + | 8.58930i | −0.552697 | + | 0.668676i | ||||
\(166\) | −12.8987 | + | 12.2989i | −1.00113 | + | 0.954580i | ||||
\(167\) | −10.9661 | − | 7.04747i | −0.848581 | − | 0.545350i | 0.0425512 | − | 0.999094i | \(-0.486451\pi\) |
−0.891132 | + | 0.453745i | \(0.850088\pi\) | |||||||
\(168\) | 1.82698 | − | 4.58113i | 0.140955 | − | 0.353442i | ||||
\(169\) | −0.394381 | + | 2.74298i | −0.0303370 | + | 0.210999i | ||||
\(170\) | −6.67971 | + | 27.5341i | −0.512310 | + | 2.11177i | ||||
\(171\) | −9.50497 | − | 4.90015i | −0.726863 | − | 0.374724i | ||||
\(172\) | −0.442059 | + | 9.27997i | −0.0337067 | + | 0.707591i | ||||
\(173\) | 4.96560 | + | 3.90499i | 0.377528 | + | 0.296891i | 0.788834 | − | 0.614606i | \(-0.210685\pi\) |
−0.411307 | + | 0.911497i | \(0.634927\pi\) | |||||||
\(174\) | −1.64527 | − | 11.4431i | −0.124728 | − | 0.867500i | ||||
\(175\) | 6.61091 | − | 2.29785i | 0.499738 | − | 0.173702i | ||||
\(176\) | −14.5070 | + | 7.91156i | −1.09351 | + | 0.596356i | ||||
\(177\) | 9.09385 | + | 0.868357i | 0.683535 | + | 0.0652697i | ||||
\(178\) | −21.7862 | − | 11.2316i | −1.63294 | − | 0.841841i | ||||
\(179\) | 3.82695 | − | 3.00955i | 0.286040 | − | 0.224944i | −0.464821 | − | 0.885405i | \(-0.653881\pi\) |
0.750861 | + | 0.660460i | \(0.229639\pi\) | |||||||
\(180\) | 4.75238 | + | 0.453797i | 0.354221 | + | 0.0338240i | ||||
\(181\) | −2.67504 | − | 5.85752i | −0.198834 | − | 0.435386i | 0.783782 | − | 0.621036i | \(-0.213288\pi\) |
−0.982616 | + | 0.185651i | \(0.940561\pi\) | |||||||
\(182\) | −18.4060 | + | 2.67124i | −1.36435 | + | 0.198006i | ||||
\(183\) | −3.90045 | − | 8.54079i | −0.288329 | − | 0.631353i | ||||
\(184\) | 3.00515 | + | 1.20308i | 0.221543 | + | 0.0886923i | ||||
\(185\) | 19.6418 | + | 10.1261i | 1.44410 | + | 0.744483i | ||||
\(186\) | 5.71645 | − | 8.02763i | 0.419151 | − | 0.588615i | ||||
\(187\) | 17.2650 | + | 8.39804i | 1.26254 | + | 0.614126i | ||||
\(188\) | 0.322992 | − | 0.707255i | 0.0235566 | − | 0.0515819i | ||||
\(189\) | 5.42283 | + | 13.4938i | 0.394453 | + | 0.981531i | ||||
\(190\) | −4.88952 | + | 34.0074i | −0.354723 | + | 2.46715i | ||||
\(191\) | −1.05908 | + | 0.545995i | −0.0766325 | + | 0.0395068i | −0.496117 | − | 0.868256i | \(-0.665241\pi\) |
0.419484 | + | 0.907763i | \(0.362211\pi\) | |||||||
\(192\) | −0.232914 | − | 0.120076i | −0.0168091 | − | 0.00866571i | ||||
\(193\) | 8.67210 | + | 8.26883i | 0.624231 | + | 0.595203i | 0.934725 | − | 0.355372i | \(-0.115646\pi\) |
−0.310494 | + | 0.950575i | \(0.600494\pi\) | |||||||
\(194\) | 12.9116 | + | 10.1538i | 0.927000 | + | 0.729001i | ||||
\(195\) | −5.54297 | − | 12.1374i | −0.396940 | − | 0.869178i | ||||
\(196\) | −3.31478 | − | 7.20784i | −0.236770 | − | 0.514845i | ||||
\(197\) | 18.6972 | + | 5.49001i | 1.33212 | + | 0.391147i | 0.868853 | − | 0.495070i | \(-0.164858\pi\) |
0.463271 | + | 0.886217i | \(0.346676\pi\) | |||||||
\(198\) | 2.72771 | − | 8.51760i | 0.193850 | − | 0.605320i | ||||
\(199\) | −5.28287 | − | 5.03721i | −0.374493 | − | 0.357078i | 0.479337 | − | 0.877631i | \(-0.340877\pi\) |
−0.853829 | + | 0.520553i | \(0.825726\pi\) | |||||||
\(200\) | 0.956735 | + | 3.94371i | 0.0676514 | + | 0.278863i | ||||
\(201\) | −5.09425 | − | 7.15387i | −0.359321 | − | 0.504595i | ||||
\(202\) | 17.9341 | 1.26184 | ||||||||
\(203\) | 11.5942 | + | 8.23310i | 0.813754 | + | 0.577851i | ||||
\(204\) | 1.13458 | + | 7.89116i | 0.0794363 | + | 0.552492i | ||||
\(205\) | −4.66511 | − | 13.4789i | −0.325825 | − | 0.941410i | ||||
\(206\) | 7.51079 | − | 21.7010i | 0.523302 | − | 1.51198i | ||||
\(207\) | −2.98427 | + | 1.19472i | −0.207421 | + | 0.0830389i | ||||
\(208\) | −0.941449 | − | 19.7634i | −0.0652777 | − | 1.37035i | ||||
\(209\) | 21.8092 | + | 8.14747i | 1.50858 | + | 0.563572i | ||||
\(210\) | 11.8785 | − | 10.3203i | 0.819695 | − | 0.712170i | ||||
\(211\) | 2.25610 | − | 2.60368i | 0.155316 | − | 0.179244i | −0.672759 | − | 0.739862i | \(-0.734891\pi\) |
0.828075 | + | 0.560618i | \(0.189436\pi\) | |||||||
\(212\) | −0.622818 | − | 1.79951i | −0.0427753 | − | 0.123591i | ||||
\(213\) | 10.9909 | + | 5.66619i | 0.753083 | + | 0.388241i | ||||
\(214\) | 3.38577 | + | 0.652554i | 0.231447 | + | 0.0446077i | ||||
\(215\) | 11.3328 | − | 19.6291i | 0.772894 | − | 1.33869i | ||||
\(216\) | −8.09062 | + | 2.37562i | −0.550497 | + | 0.161641i | ||||
\(217\) | 2.30982 | + | 11.8998i | 0.156801 | + | 0.807809i | ||||
\(218\) | 24.5486 | − | 7.20813i | 1.66264 | − | 0.488196i | ||||
\(219\) | 2.69724 | + | 2.12113i | 0.182262 | + | 0.143333i | ||||
\(220\) | −10.3907 | + | 0.241885i | −0.700540 | + | 0.0163079i | ||||
\(221\) | −18.0705 | + | 14.2108i | −1.21555 | + | 0.955922i | ||||
\(222\) | 17.1130 | + | 1.63410i | 1.14855 | + | 0.109673i | ||||
\(223\) | −18.2053 | + | 11.6998i | −1.21912 | + | 0.783478i | −0.982161 | − | 0.188043i | \(-0.939786\pi\) |
−0.236955 | + | 0.971521i | \(0.576149\pi\) | |||||||
\(224\) | 14.3724 | − | 4.99562i | 0.960293 | − | 0.333784i | ||||
\(225\) | −3.39018 | − | 2.17874i | −0.226012 | − | 0.145249i | ||||
\(226\) | 17.9061 | + | 14.0815i | 1.19109 | + | 0.936687i | ||||
\(227\) | 2.65808 | + | 10.9568i | 0.176423 | + | 0.727226i | 0.989435 | + | 0.144978i | \(0.0463113\pi\) |
−0.813012 | + | 0.582247i | \(0.802174\pi\) | |||||||
\(228\) | 2.27918 | + | 9.39491i | 0.150942 | + | 0.622193i | ||||
\(229\) | −8.63077 | + | 1.66344i | −0.570337 | + | 0.109924i | −0.466263 | − | 0.884646i | \(-0.654400\pi\) |
−0.104074 | + | 0.994570i | \(0.533188\pi\) | |||||||
\(230\) | 6.76323 | + | 7.80518i | 0.445954 | + | 0.514658i | ||||
\(231\) | −5.11765 | − | 9.35453i | −0.336717 | − | 0.615483i | ||||
\(232\) | −5.39939 | + | 6.23123i | −0.354487 | + | 0.409100i | ||||
\(233\) | −8.28674 | + | 14.3531i | −0.542883 | + | 0.940300i | 0.455854 | + | 0.890054i | \(0.349334\pi\) |
−0.998737 | + | 0.0502457i | \(0.984000\pi\) | |||||||
\(234\) | 7.75055 | + | 7.39014i | 0.506669 | + | 0.483108i | ||||
\(235\) | −1.49105 | + | 1.17258i | −0.0972654 | + | 0.0764904i | ||||
\(236\) | 4.94227 | + | 6.94045i | 0.321715 | + | 0.451785i | ||||
\(237\) | −8.90608 | − | 2.61506i | −0.578512 | − | 0.169867i | ||||
\(238\) | −22.1045 | − | 15.6965i | −1.43282 | − | 1.01745i | ||||
\(239\) | 3.77691 | 0.244308 | 0.122154 | − | 0.992511i | \(-0.461020\pi\) | ||||
0.122154 | + | 0.992511i | \(0.461020\pi\) | |||||||
\(240\) | 9.71005 | + | 13.6359i | 0.626781 | + | 0.880191i | ||||
\(241\) | 7.17648 | + | 12.4300i | 0.462278 | + | 0.800688i | 0.999074 | − | 0.0430235i | \(-0.0136990\pi\) |
−0.536796 | + | 0.843712i | \(0.680366\pi\) | |||||||
\(242\) | −3.70507 | + | 19.1157i | −0.238171 | + | 1.22880i | ||||
\(243\) | 6.96356 | − | 12.0612i | 0.446712 | − | 0.773729i | ||||
\(244\) | 3.63791 | − | 7.96591i | 0.232893 | − | 0.509965i | ||||
\(245\) | −0.869804 | + | 19.3356i | −0.0555697 | + | 1.23530i | ||||
\(246\) | −7.26624 | − | 8.38569i | −0.463279 | − | 0.534652i | ||||
\(247\) | −20.1755 | + | 19.2373i | −1.28374 | + | 1.22404i | ||||
\(248\) | −6.99671 | + | 0.668105i | −0.444291 | + | 0.0424247i | ||||
\(249\) | 9.61711 | − | 7.56298i | 0.609459 | − | 0.479284i | ||||
\(250\) | 2.71708 | − | 11.1999i | 0.171843 | − | 0.708347i | ||||
\(251\) | 17.6954 | 1.11692 | 0.558461 | − | 0.829531i | \(-0.311392\pi\) | ||||
0.558461 | + | 0.829531i | \(0.311392\pi\) | |||||||
\(252\) | −2.08784 | + | 4.06303i | −0.131522 | + | 0.255947i | ||||
\(253\) | 6.14410 | − | 3.35075i | 0.386276 | − | 0.210660i | ||||
\(254\) | 12.6190 | − | 2.43211i | 0.791785 | − | 0.152604i | ||||
\(255\) | 6.36140 | − | 18.3801i | 0.398366 | − | 1.15100i | ||||
\(256\) | 4.74247 | + | 19.5487i | 0.296404 | + | 1.22179i | ||||
\(257\) | −5.58503 | + | 5.32532i | −0.348385 | + | 0.332184i | −0.843985 | − | 0.536367i | \(-0.819796\pi\) |
0.495601 | + | 0.868551i | \(0.334948\pi\) | |||||||
\(258\) | 2.50932 | − | 17.4527i | 0.156224 | − | 1.08656i | ||||
\(259\) | −15.9621 | + | 13.8683i | −0.991839 | + | 0.861733i | ||||
\(260\) | 5.16988 | − | 11.3204i | 0.320622 | − | 0.702064i | ||||
\(261\) | −0.389592 | − | 8.17854i | −0.0241151 | − | 0.506239i | ||||
\(262\) | 19.6541 | − | 27.6004i | 1.21424 | − | 1.70516i | ||||
\(263\) | −2.77356 | + | 2.18115i | −0.171025 | + | 0.134496i | −0.700003 | − | 0.714140i | \(-0.746818\pi\) |
0.528978 | + | 0.848636i | \(0.322575\pi\) | |||||||
\(264\) | 5.68469 | − | 2.43079i | 0.349868 | − | 0.149605i | ||||
\(265\) | −0.661155 | + | 4.59844i | −0.0406145 | + | 0.282480i | ||||
\(266\) | −28.4924 | − | 16.3999i | −1.74698 | − | 1.00554i | ||||
\(267\) | 14.1551 | + | 9.09691i | 0.866276 | + | 0.556722i | ||||
\(268\) | 1.93115 | − | 7.96029i | 0.117964 | − | 0.486252i | ||||
\(269\) | 6.61320 | + | 11.4544i | 0.403214 | + | 0.698387i | 0.994112 | − | 0.108359i | \(-0.0345598\pi\) |
−0.590898 | + | 0.806746i | \(0.701226\pi\) | |||||||
\(270\) | −26.4167 | − | 5.09141i | −1.60767 | − | 0.309853i | ||||
\(271\) | 0.301158 | + | 6.32208i | 0.0182940 | + | 0.384039i | 0.989384 | + | 0.145325i | \(0.0464228\pi\) |
−0.971090 | + | 0.238714i | \(0.923274\pi\) | |||||||
\(272\) | 18.8868 | − | 21.7965i | 1.14518 | − | 1.32161i | ||||
\(273\) | 12.7524 | − | 0.624379i | 0.771810 | − | 0.0377891i | ||||
\(274\) | 26.4398 | + | 16.9918i | 1.59729 | + | 1.02651i | ||||
\(275\) | 7.88970 | + | 3.83770i | 0.475767 | + | 0.231422i | ||||
\(276\) | 2.58298 | + | 1.33162i | 0.155477 | + | 0.0801540i | ||||
\(277\) | 17.3047 | − | 6.92778i | 1.03974 | − | 0.416250i | 0.211947 | − | 0.977281i | \(-0.432020\pi\) |
0.827794 | + | 0.561031i | \(0.189595\pi\) | |||||||
\(278\) | 34.5375 | − | 6.65656i | 2.07142 | − | 0.399234i | ||||
\(279\) | 4.57073 | − | 5.27491i | 0.273643 | − | 0.315800i | ||||
\(280\) | −11.1104 | − | 1.58244i | −0.663974 | − | 0.0945688i | ||||
\(281\) | −6.22002 | − | 7.17829i | −0.371055 | − | 0.428221i | 0.539258 | − | 0.842141i | \(-0.318705\pi\) |
−0.910313 | + | 0.413920i | \(0.864159\pi\) | |||||||
\(282\) | −0.737816 | + | 1.27793i | −0.0439363 | + | 0.0760999i | ||||
\(283\) | 1.58983 | − | 0.151811i | 0.0945058 | − | 0.00902421i | −0.0476960 | − | 0.998862i | \(-0.515188\pi\) |
0.142202 | + | 0.989838i | \(0.454582\pi\) | |||||||
\(284\) | 2.71905 | + | 11.2081i | 0.161346 | + | 0.665076i | ||||
\(285\) | 5.56044 | − | 22.9205i | 0.329372 | − | 1.35769i | ||||
\(286\) | −18.6572 | − | 13.9819i | −1.10322 | − | 0.826767i | ||||
\(287\) | 13.6336 | + | 0.631373i | 0.804764 | + | 0.0372687i | ||||
\(288\) | −7.37037 | − | 4.73665i | −0.434303 | − | 0.279110i | ||||
\(289\) | −16.4351 | − | 1.56936i | −0.966771 | − | 0.0923154i | ||||
\(290\) | −24.4217 | + | 9.77696i | −1.43409 | + | 0.574123i | ||||
\(291\) | −8.16080 | − | 7.78131i | −0.478395 | − | 0.456148i | ||||
\(292\) | 0.152281 | + | 3.19678i | 0.00891159 | + | 0.187077i | ||||
\(293\) | −5.30497 | − | 3.40930i | −0.309920 | − | 0.199173i | 0.376430 | − | 0.926445i | \(-0.377152\pi\) |
−0.686349 | + | 0.727272i | \(0.740788\pi\) | |||||||
\(294\) | 4.96223 | + | 14.2156i | 0.289403 | + | 0.829073i | ||||
\(295\) | −2.95826 | − | 20.5752i | −0.172237 | − | 1.19793i | ||||
\(296\) | −7.11176 | − | 9.98707i | −0.413363 | − | 0.580487i | ||||
\(297\) | −7.18514 | + | 16.7546i | −0.416924 | + | 0.972198i | ||||
\(298\) | −11.2142 | + | 15.7481i | −0.649618 | + | 0.912262i | ||||
\(299\) | 0.398727 | + | 8.37032i | 0.0230590 | + | 0.484068i | ||||
\(300\) | 0.518474 | + | 3.60607i | 0.0299341 | + | 0.208196i | ||||
\(301\) | 13.4292 | + | 17.0302i | 0.774045 | + | 0.981604i | ||||
\(302\) | −8.40322 | − | 18.4005i | −0.483551 | − | 1.05883i | ||||
\(303\) | −12.2555 | − | 1.17026i | −0.704063 | − | 0.0672298i | ||||
\(304\) | 20.2864 | − | 28.4883i | 1.16351 | − | 1.63392i | ||||
\(305\) | −16.7939 | + | 13.2069i | −0.961617 | + | 0.756224i | ||||
\(306\) | 0.742762 | + | 15.5925i | 0.0424609 | + | 0.891363i | ||||
\(307\) | 6.78131 | + | 14.8490i | 0.387030 | + | 0.847478i | 0.998422 | + | 0.0561499i | \(0.0178825\pi\) |
−0.611392 | + | 0.791328i | \(0.709390\pi\) | |||||||
\(308\) | 3.46805 | − | 9.32091i | 0.197611 | − | 0.531108i | ||||
\(309\) | −6.54870 | + | 14.3397i | −0.372543 | + | 0.815754i | ||||
\(310\) | −20.8182 | − | 8.33436i | −1.18240 | − | 0.473360i | ||||
\(311\) | 26.1095 | − | 10.4527i | 1.48054 | − | 0.592717i | 0.515981 | − | 0.856600i | \(-0.327428\pi\) |
0.964555 | + | 0.263883i | \(0.0850033\pi\) | |||||||
\(312\) | −0.352248 | + | 7.39459i | −0.0199421 | + | 0.418636i | ||||
\(313\) | −1.47987 | − | 31.0662i | −0.0836471 | − | 1.75597i | −0.518143 | − | 0.855294i | \(-0.673376\pi\) |
0.434496 | − | 0.900674i | \(-0.356927\pi\) | |||||||
\(314\) | −13.8443 | + | 4.06504i | −0.781277 | + | 0.229404i | ||||
\(315\) | 9.06954 | − | 6.47649i | 0.511011 | − | 0.364909i | ||||
\(316\) | −3.59637 | − | 7.87496i | −0.202312 | − | 0.443001i | ||||
\(317\) | 13.8853 | − | 7.15838i | 0.779878 | − | 0.402055i | −0.0218373 | − | 0.999762i | \(-0.506952\pi\) |
0.801715 | + | 0.597707i | \(0.203921\pi\) | |||||||
\(318\) | 0.852038 | + | 3.51215i | 0.0477799 | + | 0.196951i | ||||
\(319\) | 2.94681 | + | 17.5805i | 0.164990 | + | 0.984319i | ||||
\(320\) | −0.140576 | + | 0.579461i | −0.00785843 | + | 0.0323929i | ||||
\(321\) | −2.27114 | − | 0.666868i | −0.126763 | − | 0.0372209i | ||||
\(322\) | −9.33445 | + | 3.24452i | −0.520189 | + | 0.180810i | ||||
\(323\) | −40.6349 | −2.26099 | ||||||||
\(324\) | −2.34706 | + | 0.452359i | −0.130392 | + | 0.0251311i | ||||
\(325\) | −8.25778 | + | 6.49399i | −0.458059 | + | 0.360222i | ||||
\(326\) | −5.96813 | − | 1.15026i | −0.330544 | − | 0.0637071i | ||||
\(327\) | −17.2461 | + | 3.32391i | −0.953710 | + | 0.183813i | ||||
\(328\) | −1.12621 | + | 7.83297i | −0.0621846 | + | 0.432503i | ||||
\(329\) | −0.513665 | − | 1.74086i | −0.0283193 | − | 0.0959768i | ||||
\(330\) | 19.6746 | + | 1.41754i | 1.08305 | + | 0.0780329i | ||||
\(331\) | 7.93360 | − | 4.09006i | 0.436070 | − | 0.224810i | −0.226191 | − | 0.974083i | \(-0.572627\pi\) |
0.662261 | + | 0.749273i | \(0.269597\pi\) | |||||||
\(332\) | 11.2050 | + | 2.15958i | 0.614952 | + | 0.118522i | ||||
\(333\) | 11.9553 | + | 2.30419i | 0.655144 | + | 0.126269i | ||||
\(334\) | 1.09792 | + | 23.0482i | 0.0600756 | + | 1.26114i | ||||
\(335\) | −13.0866 | + | 15.1027i | −0.714997 | + | 0.825150i | ||||
\(336\) | −15.5612 | + | 3.79692i | −0.848935 | + | 0.207139i | ||||
\(337\) | −11.1791 | + | 3.28247i | −0.608963 | + | 0.178808i | −0.571652 | − | 0.820496i | \(-0.693697\pi\) |
−0.0373109 | + | 0.999304i | \(0.511879\pi\) | |||||||
\(338\) | 4.36006 | − | 2.24777i | 0.237156 | − | 0.122262i | ||||
\(339\) | −11.3176 | − | 10.7913i | −0.614685 | − | 0.586101i | ||||
\(340\) | 16.8412 | − | 6.74218i | 0.913340 | − | 0.365646i | ||||
\(341\) | −8.52384 | + | 12.5797i | −0.461592 | + | 0.681230i | ||||
\(342\) | 2.69392 | + | 18.7366i | 0.145670 | + | 1.01316i | ||||
\(343\) | −16.8770 | − | 7.62668i | −0.911273 | − | 0.411802i | ||||
\(344\) | −10.5789 | + | 6.79867i | −0.570378 | + | 0.366560i | ||||
\(345\) | −4.11245 | − | 5.77513i | −0.221407 | − | 0.310922i | ||||
\(346\) | 0.532068 | − | 11.1695i | 0.0286041 | − | 0.600475i | ||||
\(347\) | −20.4439 | + | 8.18450i | −1.09749 | + | 0.439367i | −0.848530 | − | 0.529147i | \(-0.822512\pi\) |
−0.248956 | + | 0.968515i | \(0.580088\pi\) | |||||||
\(348\) | −5.35709 | + | 5.10797i | −0.287170 | + | 0.273816i | ||||
\(349\) | 13.4782 | + | 3.95757i | 0.721474 | + | 0.211844i | 0.621800 | − | 0.783176i | \(-0.286402\pi\) |
0.0996742 | + | 0.995020i | \(0.468220\pi\) | |||||||
\(350\) | −10.1012 | − | 7.17292i | −0.539933 | − | 0.383409i | ||||
\(351\) | −14.2948 | − | 16.4970i | −0.762998 | − | 0.880547i | ||||
\(352\) | 17.1525 | + | 8.34330i | 0.914231 | + | 0.444699i | ||||
\(353\) | 2.41058 | + | 0.464602i | 0.128302 | + | 0.0247283i | 0.252998 | − | 0.967467i | \(-0.418583\pi\) |
−0.124696 | + | 0.992195i | \(0.539795\pi\) | |||||||
\(354\) | −8.08526 | − | 14.0041i | −0.429727 | − | 0.744308i | ||||
\(355\) | 6.63357 | − | 27.3439i | 0.352073 | − | 1.45127i | ||||
\(356\) | 2.23343 | + | 15.5339i | 0.118372 | + | 0.823293i | ||||
\(357\) | 14.0812 | + | 12.1689i | 0.745258 | + | 0.644045i | ||||
\(358\) | −8.26891 | − | 2.42797i | −0.437026 | − | 0.128322i | ||||
\(359\) | 2.17306 | − | 0.418823i | 0.114690 | − | 0.0221046i | −0.131583 | − | 0.991305i | \(-0.542006\pi\) |
0.246273 | + | 0.969200i | \(0.420794\pi\) | |||||||
\(360\) | 3.23094 | + | 5.59615i | 0.170285 | + | 0.294943i | ||||
\(361\) | −30.1378 | + | 2.87781i | −1.58620 | + | 0.151464i | ||||
\(362\) | −5.69932 | + | 9.87151i | −0.299550 | + | 0.518835i | ||||
\(363\) | 3.77929 | − | 12.8213i | 0.198361 | − | 0.672941i | ||||
\(364\) | 8.22904 | + | 8.60755i | 0.431319 | + | 0.451158i | ||||
\(365\) | 3.24353 | − | 7.10233i | 0.169774 | − | 0.371753i | ||||
\(366\) | −8.31012 | + | 14.3936i | −0.434377 | + | 0.752363i | ||||
\(367\) | −7.42036 | + | 21.4397i | −0.387340 | + | 1.11914i | 0.567845 | + | 0.823135i | \(0.307777\pi\) |
−0.955185 | + | 0.296010i | \(0.904344\pi\) | |||||||
\(368\) | −2.47852 | − | 10.2166i | −0.129202 | − | 0.532577i | ||||
\(369\) | −4.55840 | − | 6.40138i | −0.237301 | − | 0.333242i | ||||
\(370\) | −5.56693 | − | 38.7189i | −0.289411 | − | 2.01290i | ||||
\(371\) | −3.85271 | − | 2.21757i | −0.200023 | − | 0.115131i | ||||
\(372\) | −6.30984 | −0.327150 | ||||||||
\(373\) | 8.27871 | + | 23.9197i | 0.428655 | + | 1.23852i | 0.928152 | + | 0.372202i | \(0.121397\pi\) |
−0.499497 | + | 0.866316i | \(0.666482\pi\) | |||||||
\(374\) | −5.61814 | − | 33.5174i | −0.290507 | − | 1.73315i | ||||
\(375\) | −2.58760 | + | 7.47638i | −0.133623 | + | 0.386078i | ||||
\(376\) | 1.03340 | − | 0.199171i | 0.0532933 | − | 0.0102714i | ||||
\(377\) | −20.4798 | − | 6.01341i | −1.05476 | − | 0.309707i | ||||
\(378\) | 13.8888 | − | 21.6743i | 0.714361 | − | 1.11481i | ||||
\(379\) | −3.29447 | + | 22.9136i | −0.169226 | + | 1.17699i | 0.711264 | + | 0.702925i | \(0.248123\pi\) |
−0.880490 | + | 0.474066i | \(0.842786\pi\) | |||||||
\(380\) | 19.5524 | − | 10.0800i | 1.00302 | − | 0.517091i | ||||
\(381\) | −8.78209 | + | 0.838588i | −0.449920 | + | 0.0429622i | ||||
\(382\) | 1.87471 | + | 0.966482i | 0.0959186 | + | 0.0494495i | ||||
\(383\) | −13.4250 | − | 1.28194i | −0.685988 | − | 0.0655039i | −0.253758 | − | 0.967268i | \(-0.581667\pi\) |
−0.432229 | + | 0.901764i | \(0.642273\pi\) | |||||||
\(384\) | −1.92309 | − | 13.3754i | −0.0981371 | − | 0.682558i | ||||
\(385\) | −17.9404 | + | 16.3350i | −0.914326 | + | 0.832510i | ||||
\(386\) | 3.01856 | − | 20.9946i | 0.153641 | − | 1.06860i | ||||
\(387\) | 2.94412 | − | 12.1358i | 0.149658 | − | 0.616899i | ||||
\(388\) | 0.500418 | − | 10.5051i | 0.0254049 | − | 0.533314i | ||||
\(389\) | 2.20236 | + | 2.09995i | 0.111664 | + | 0.106472i | 0.743855 | − | 0.668341i | \(-0.232995\pi\) |
−0.632190 | + | 0.774813i | \(0.717844\pi\) | |||||||
\(390\) | −11.8096 | + | 20.4548i | −0.598003 | + | 1.03577i | ||||
\(391\) | −7.99903 | + | 9.23137i | −0.404528 | + | 0.466850i | ||||
\(392\) | 5.34461 | − | 9.31395i | 0.269944 | − | 0.470426i | ||||
\(393\) | −15.2320 | + | 17.5787i | −0.768354 | + | 0.886727i | ||||
\(394\) | −11.2818 | − | 32.5967i | −0.568370 | − | 1.64220i | ||||
\(395\) | −1.00497 | + | 21.0970i | −0.0505657 | + | 1.06150i | ||||
\(396\) | −5.45539 | + | 1.74074i | −0.274144 | + | 0.0874755i | ||||
\(397\) | −0.805717 | − | 16.9141i | −0.0404378 | − | 0.848893i | −0.924421 | − | 0.381374i | \(-0.875451\pi\) |
0.883983 | − | 0.467519i | \(-0.154852\pi\) | |||||||
\(398\) | −1.83885 | + | 12.7895i | −0.0921732 | + | 0.641079i | ||||
\(399\) | 18.4006 | + | 13.0664i | 0.921183 | + | 0.654137i | ||||
\(400\) | 8.63079 | − | 9.96047i | 0.431540 | − | 0.498023i | ||||
\(401\) | 34.4875 | + | 13.8067i | 1.72222 | + | 0.689474i | 0.999998 | − | 0.00218386i | \(-0.000695144\pi\) |
0.722225 | + | 0.691658i | \(0.243119\pi\) | |||||||
\(402\) | −5.08455 | + | 14.6908i | −0.253594 | + | 0.732713i | ||||
\(403\) | −9.09752 | − | 15.7574i | −0.453180 | − | 0.784930i | ||||
\(404\) | −6.66057 | − | 9.35347i | −0.331376 | − | 0.465352i | ||||
\(405\) | 5.59522 | + | 1.64290i | 0.278029 | + | 0.0816365i | ||||
\(406\) | −0.0332961 | − | 25.1713i | −0.00165246 | − | 1.24923i | ||||
\(407\) | −26.4384 | − | 1.90486i | −1.31050 | − | 0.0944206i | ||||
\(408\) | −7.80980 | + | 7.44662i | −0.386642 | + | 0.368663i | ||||
\(409\) | 0.902172 | − | 18.9389i | 0.0446095 | − | 0.936470i | −0.860017 | − | 0.510265i | \(-0.829547\pi\) |
0.904627 | − | 0.426205i | \(-0.140150\pi\) | |||||||
\(410\) | −14.6453 | + | 20.5665i | −0.723281 | + | 1.01571i | ||||
\(411\) | −16.9593 | − | 13.3369i | −0.836541 | − | 0.657863i | ||||
\(412\) | −14.1076 | + | 4.14236i | −0.695030 | + | 0.204079i | ||||
\(413\) | 19.3356 | + | 4.66370i | 0.951445 | + | 0.229486i | ||||
\(414\) | 4.78685 | + | 3.07632i | 0.235261 | + | 0.151193i | ||||
\(415\) | −21.8833 | − | 17.2092i | −1.07421 | − | 0.844766i | ||||
\(416\) | −17.9527 | + | 14.1182i | −0.880204 | + | 0.692200i | ||||
\(417\) | −24.0362 | + | 2.29517i | −1.17706 | + | 0.112395i | ||||
\(418\) | −10.6453 | − | 39.8125i | −0.520679 | − | 1.94729i | ||||
\(419\) | −13.0652 | − | 28.6088i | −0.638277 | − | 1.39763i | −0.901450 | − | 0.432884i | \(-0.857496\pi\) |
0.263173 | − | 0.964749i | \(-0.415231\pi\) | |||||||
\(420\) | −9.79413 | − | 2.36232i | −0.477905 | − | 0.115269i | ||||
\(421\) | −2.78482 | − | 19.3689i | −0.135724 | − | 0.943981i | −0.937903 | − | 0.346897i | \(-0.887235\pi\) |
0.802179 | − | 0.597083i | \(-0.203674\pi\) | |||||||
\(422\) | −6.07076 | − | 0.579688i | −0.295520 | − | 0.0282187i | ||||
\(423\) | −0.606219 | + | 0.851315i | −0.0294754 | + | 0.0413924i | ||||
\(424\) | 1.49510 | − | 2.09957i | 0.0726085 | − | 0.101964i | ||||
\(425\) | −15.2438 | − | 1.45561i | −0.739435 | − | 0.0706075i | ||||
\(426\) | −3.11506 | − | 21.6657i | −0.150925 | − | 1.04971i | ||||
\(427\) | −5.78549 | − | 19.6076i | −0.279979 | − | 0.948877i | ||||
\(428\) | −0.917112 | − | 2.00820i | −0.0443303 | − | 0.0970698i | ||||
\(429\) | 11.8374 | + | 10.7722i | 0.571513 | + | 0.520088i | ||||
\(430\) | −39.9395 | + | 3.81376i | −1.92606 | + | 0.183916i | ||||
\(431\) | −2.07720 | + | 1.63353i | −0.100055 | + | 0.0786844i | −0.666933 | − | 0.745117i | \(-0.732393\pi\) |
0.566878 | + | 0.823802i | \(0.308151\pi\) | |||||||
\(432\) | 21.5263 | + | 16.9285i | 1.03569 | + | 0.814473i | ||||
\(433\) | −1.67140 | − | 1.07414i | −0.0803224 | − | 0.0516201i | 0.499863 | − | 0.866104i | \(-0.333384\pi\) |
−0.580186 | + | 0.814484i | \(0.697020\pi\) | |||||||
\(434\) | 14.7867 | − | 15.5489i | 0.709783 | − | 0.746373i | ||||
\(435\) | 17.3269 | − | 5.08765i | 0.830763 | − | 0.243934i | ||||
\(436\) | −12.8766 | − | 10.1262i | −0.616675 | − | 0.484959i | ||||
\(437\) | −8.59182 | + | 12.0655i | −0.411003 | + | 0.577172i | ||||
\(438\) | 0.289011 | − | 6.06709i | 0.0138095 | − | 0.289897i | ||||
\(439\) | 8.78182 | − | 8.37345i | 0.419133 | − | 0.399643i | −0.450949 | − | 0.892550i | \(-0.648914\pi\) |
0.870082 | + | 0.492907i | \(0.164066\pi\) | |||||||
\(440\) | −8.42484 | − | 11.2666i | −0.401639 | − | 0.537114i | ||||
\(441\) | 2.54151 | + | 10.3566i | 0.121024 | + | 0.493170i | ||||
\(442\) | 39.0450 | + | 11.4646i | 1.85718 | + | 0.545318i | ||||
\(443\) | 20.9976 | + | 29.4870i | 0.997624 | + | 1.40097i | 0.914572 | + | 0.404422i | \(0.132527\pi\) |
0.0830519 | + | 0.996545i | \(0.473533\pi\) | |||||||
\(444\) | −5.50339 | − | 9.53215i | −0.261179 | − | 0.452376i | ||||
\(445\) | 12.5225 | − | 36.1814i | 0.593623 | − | 1.71516i | ||||
\(446\) | 35.5628 | + | 14.2372i | 1.68395 | + | 0.674150i | ||||
\(447\) | 8.69100 | − | 10.0300i | 0.411070 | − | 0.474401i | ||||
\(448\) | −0.465193 | − | 0.330336i | −0.0219783 | − | 0.0156069i | ||||
\(449\) | 4.92424 | − | 34.2489i | 0.232389 | − | 1.61630i | −0.455327 | − | 0.890324i | \(-0.650478\pi\) |
0.687717 | − | 0.725979i | \(-0.258613\pi\) | |||||||
\(450\) | 0.339424 | + | 7.12539i | 0.0160006 | + | 0.335894i | ||||
\(451\) | 11.5018 | + | 12.6658i | 0.541600 | + | 0.596409i | ||||
\(452\) | 0.693990 | − | 14.5686i | 0.0326425 | − | 0.685251i | ||||
\(453\) | 4.54179 | + | 13.1226i | 0.213392 | + | 0.616555i | ||||
\(454\) | 13.0694 | − | 15.0828i | 0.613375 | − | 0.707873i | ||||
\(455\) | −8.22182 | − | 27.8645i | −0.385445 | − | 1.30631i | ||||
\(456\) | −8.56912 | + | 9.88929i | −0.401286 | + | 0.463109i | ||||
\(457\) | −5.72519 | + | 9.91633i | −0.267813 | + | 0.463866i | −0.968297 | − | 0.249802i | \(-0.919634\pi\) |
0.700484 | + | 0.713669i | \(0.252968\pi\) | |||||||
\(458\) | 11.2604 | + | 10.7368i | 0.526164 | + | 0.501696i | ||||
\(459\) | 1.51399 | − | 31.7827i | 0.0706672 | − | 1.48349i | ||||
\(460\) | 1.55896 | − | 6.42613i | 0.0726870 | − | 0.299620i | ||||
\(461\) | 3.35651 | − | 23.3451i | 0.156328 | − | 1.08729i | −0.748998 | − | 0.662572i | \(-0.769465\pi\) |
0.905327 | − | 0.424716i | \(-0.139626\pi\) | |||||||
\(462\) | −8.23366 | + | 16.9842i | −0.383065 | + | 0.790175i | ||||
\(463\) | 2.42626 | + | 16.8750i | 0.112758 | + | 0.784248i | 0.965216 | + | 0.261453i | \(0.0842016\pi\) |
−0.852458 | + | 0.522795i | \(0.824889\pi\) | |||||||
\(464\) | 26.6565 | + | 2.54539i | 1.23750 | + | 0.118167i | ||||
\(465\) | 13.6827 | + | 7.05390i | 0.634518 | + | 0.327117i | ||||
\(466\) | 29.2044 | − | 2.78868i | 1.35287 | − | 0.129183i | ||||
\(467\) | −7.76556 | + | 4.00342i | −0.359347 | + | 0.185256i | −0.628440 | − | 0.777858i | \(-0.716306\pi\) |
0.269093 | + | 0.963114i | \(0.413276\pi\) | |||||||
\(468\) | 0.975812 | − | 6.78692i | 0.0451069 | − | 0.313726i | ||||
\(469\) | −8.78458 | − | 16.9845i | −0.405634 | − | 0.784272i | ||||
\(470\) | 3.22172 | + | 0.945981i | 0.148607 | + | 0.0436349i | ||||
\(471\) | 9.72598 | − | 1.87453i | 0.448149 | − | 0.0863737i | ||||
\(472\) | −3.77199 | + | 10.8985i | −0.173620 | + | 0.501642i | ||||
\(473\) | −3.24184 | + | 26.9934i | −0.149060 | + | 1.24116i | ||||
\(474\) | 5.37388 | + | 15.5268i | 0.246831 | + | 0.713170i | ||||
\(475\) | −18.5692 | −0.852011 | ||||||||
\(476\) | 0.0229610 | + | 17.3581i | 0.00105241 | + | 0.795608i | ||||
\(477\) | 0.364269 | + | 2.53354i | 0.0166787 | + | 0.116003i | ||||
\(478\) | −3.87804 | − | 5.44595i | −0.177377 | − | 0.249092i | ||||
\(479\) | −3.97166 | − | 16.3714i | −0.181470 | − | 0.748029i | −0.987691 | − | 0.156415i | \(-0.950006\pi\) |
0.806222 | − | 0.591614i | \(-0.201509\pi\) | |||||||
\(480\) | 6.31993 | − | 18.2602i | 0.288464 | − | 0.833462i | ||||
\(481\) | 15.8696 | − | 27.4869i | 0.723589 | − | 1.25329i | ||||
\(482\) | 10.5543 | − | 23.1107i | 0.480734 | − | 1.05266i | ||||
\(483\) | 6.59058 | − | 1.60809i | 0.299882 | − | 0.0731706i | ||||
\(484\) | 11.3458 | − | 5.16705i | 0.515717 | − | 0.234866i | ||||
\(485\) | −12.8290 | + | 22.2204i | −0.582533 | + | 1.00898i | ||||
\(486\) | −24.5412 | + | 2.34340i | −1.11321 | + | 0.106299i | ||||
\(487\) | 6.49729 | + | 11.2536i | 0.294421 | + | 0.509951i | 0.974850 | − | 0.222862i | \(-0.0715400\pi\) |
−0.680429 | + | 0.732814i | \(0.738207\pi\) | |||||||
\(488\) | 11.6393 | − | 2.24329i | 0.526886 | − | 0.101549i | ||||
\(489\) | 4.00336 | + | 1.17549i | 0.181038 | + | 0.0531577i | ||||
\(490\) | 28.7732 | − | 18.5991i | 1.29984 | − | 0.840223i | ||||
\(491\) | 4.97887 | + | 34.6288i | 0.224693 | + | 1.56277i | 0.719949 | + | 0.694027i | \(0.244165\pi\) |
−0.495256 | + | 0.868747i | \(0.664926\pi\) | |||||||
\(492\) | −1.67491 | + | 6.90407i | −0.0755108 | + | 0.311260i | ||||
\(493\) | −15.5564 | − | 26.9444i | −0.700623 | − | 1.21352i | ||||
\(494\) | 48.4541 | + | 9.33875i | 2.18005 | + | 0.420170i | ||||
\(495\) | 13.7758 | + | 2.32396i | 0.619177 | + | 0.104454i | ||||
\(496\) | 14.9483 | + | 17.2513i | 0.671199 | + | 0.774605i | ||||
\(497\) | 21.9518 | + | 15.5881i | 0.984672 | + | 0.699221i | ||||
\(498\) | −20.7797 | − | 6.10147i | −0.931161 | − | 0.273414i | ||||
\(499\) | 5.76662 | − | 5.49846i | 0.258150 | − | 0.246145i | −0.549941 | − | 0.835204i | \(-0.685350\pi\) |
0.808090 | + | 0.589059i | \(0.200501\pi\) | |||||||
\(500\) | −6.85041 | + | 2.74249i | −0.306360 | + | 0.122648i | ||||
\(501\) | 0.753697 | − | 15.8220i | 0.0336727 | − | 0.706876i | ||||
\(502\) | −18.1692 | − | 25.5150i | −0.810930 | − | 1.13879i | ||||
\(503\) | 10.0923 | − | 6.48591i | 0.449992 | − | 0.289192i | −0.295950 | − | 0.955204i | \(-0.595636\pi\) |
0.745942 | + | 0.666011i | \(0.232000\pi\) | |||||||
\(504\) | −6.11904 | + | 0.888048i | −0.272564 | + | 0.0395568i | ||||
\(505\) | 3.98677 | + | 27.7286i | 0.177409 | + | 1.23391i | ||||
\(506\) | −11.1401 | − | 5.41875i | −0.495237 | − | 0.240893i | ||||
\(507\) | −3.12620 | + | 1.25154i | −0.138839 | + | 0.0555829i | ||||
\(508\) | −5.95505 | − | 5.67813i | −0.264213 | − | 0.251926i | ||||
\(509\) | −19.1448 | + | 9.86982i | −0.848577 | + | 0.437472i | −0.826938 | − | 0.562294i | \(-0.809919\pi\) |
−0.0216399 | + | 0.999766i | \(0.506889\pi\) | |||||||
\(510\) | −33.0340 | + | 9.69966i | −1.46277 | + | 0.429508i | ||||
\(511\) | 5.16282 | + | 5.40028i | 0.228390 | + | 0.238894i | ||||
\(512\) | 8.75339 | − | 10.1020i | 0.386849 | − | 0.446447i | ||||
\(513\) | −1.83591 | − | 38.5404i | −0.0810573 | − | 1.70160i | ||||
\(514\) | 13.4132 | + | 2.58518i | 0.591630 | + | 0.114027i | ||||
\(515\) | 35.2225 | + | 6.78859i | 1.55209 | + | 0.299141i | ||||
\(516\) | −10.0344 | + | 5.17308i | −0.441739 | + | 0.227732i | ||||
\(517\) | 1.09148 | − | 1.99641i | 0.0480034 | − | 0.0878020i | ||||
\(518\) | 36.3863 | + | 8.77627i | 1.59872 | + | 0.385607i | ||||
\(519\) | −1.09245 | + | 7.59813i | −0.0479531 | + | 0.333521i | ||||
\(520\) | 16.5407 | − | 3.18796i | 0.725358 | − | 0.139801i | ||||
\(521\) | −19.1947 | − | 3.69948i | −0.840935 | − | 0.162077i | −0.249445 | − | 0.968389i | \(-0.580248\pi\) |
−0.591490 | + | 0.806312i | \(0.701460\pi\) | |||||||
\(522\) | −11.3927 | + | 8.95929i | −0.498643 | + | 0.392137i | ||||
\(523\) | −12.7434 | + | 2.45609i | −0.557231 | + | 0.107398i | −0.460089 | − | 0.887873i | \(-0.652182\pi\) |
−0.0971425 | + | 0.995270i | \(0.530970\pi\) | |||||||
\(524\) | −21.6943 | −0.947720 | ||||||||
\(525\) | 6.43478 | + | 5.56088i | 0.280837 | + | 0.242697i | ||||
\(526\) | 5.99284 | + | 1.75966i | 0.261300 | + | 0.0767246i | ||||
\(527\) | 6.25281 | − | 25.7744i | 0.272377 | − | 1.12275i | ||||
\(528\) | −17.1399 | − | 10.4596i | −0.745917 | − | 0.455198i | ||||
\(529\) | −4.37274 | − | 18.0247i | −0.190119 | − | 0.783682i | ||||
\(530\) | 7.30937 | − | 3.76824i | 0.317499 | − | 0.163682i | ||||
\(531\) | −4.75759 | − | 10.4177i | −0.206462 | − | 0.452088i | ||||
\(532\) | 2.02854 | + | 20.9509i | 0.0879484 | + | 0.908338i | ||||
\(533\) | −19.6562 | + | 5.77158i | −0.851404 | + | 0.249995i | ||||
\(534\) | −1.41720 | − | 29.7508i | −0.0613284 | − | 1.28744i | ||||
\(535\) | −0.256279 | + | 5.37995i | −0.0110799 | + | 0.232596i | ||||
\(536\) | 10.2930 | − | 4.12071i | 0.444592 | − | 0.177988i | ||||
\(537\) | 5.49227 | + | 2.19877i | 0.237009 | + | 0.0948840i | ||||
\(538\) | 9.72588 | − | 21.2967i | 0.419312 | − | 0.918166i | ||||
\(539\) | −8.15940 | − | 21.7353i | −0.351450 | − | 0.936207i | ||||
\(540\) | 7.15556 | + | 15.6685i | 0.307926 | + | 0.674265i | ||||
\(541\) | 1.04776 | + | 21.9951i | 0.0450466 | + | 0.945645i | 0.902395 | + | 0.430909i | \(0.141807\pi\) |
−0.857349 | + | 0.514736i | \(0.827890\pi\) | |||||||
\(542\) | 8.80661 | − | 6.92560i | 0.378276 | − | 0.297480i | ||||
\(543\) | 4.53888 | − | 6.37396i | 0.194782 | − | 0.273533i | ||||
\(544\) | −33.1407 | − | 3.16455i | −1.42089 | − | 0.135679i | ||||
\(545\) | 16.6020 | + | 36.3533i | 0.711152 | + | 1.55720i | ||||
\(546\) | −13.9941 | − | 17.7466i | −0.598894 | − | 0.759486i | ||||
\(547\) | 1.57699 | + | 10.9682i | 0.0674272 | + | 0.468967i | 0.995360 | + | 0.0962195i | \(0.0306751\pi\) |
−0.927933 | + | 0.372747i | \(0.878416\pi\) | |||||||
\(548\) | −0.957493 | − | 20.1003i | −0.0409021 | − | 0.858640i | ||||
\(549\) | −6.82793 | + | 9.58849i | −0.291409 | + | 0.409227i | ||||
\(550\) | −2.56735 | − | 15.3167i | −0.109472 | − | 0.653104i | ||||
\(551\) | −21.8844 | − | 30.7324i | −0.932308 | − | 1.30924i | ||||
\(552\) | 0.559792 | + | 3.89344i | 0.0238263 | + | 0.165716i | ||||
\(553\) | −18.3946 | − | 8.37116i | −0.782220 | − | 0.355978i | ||||
\(554\) | −27.7573 | − | 17.8385i | −1.17929 | − | 0.757886i | ||||
\(555\) | 1.27771 | + | 26.8225i | 0.0542358 | + | 1.13855i | ||||
\(556\) | −16.2987 | − | 15.5408i | −0.691218 | − | 0.659075i | ||||
\(557\) | 40.4096 | − | 16.1776i | 1.71221 | − | 0.685465i | 0.712342 | − | 0.701832i | \(-0.247634\pi\) |
0.999866 | + | 0.0163673i | \(0.00521012\pi\) | |||||||
\(558\) | −12.2990 | − | 1.17442i | −0.520660 | − | 0.0497170i | ||||
\(559\) | −27.3861 | − | 17.6000i | −1.15831 | − | 0.744399i | ||||
\(560\) | 16.7441 | + | 32.3738i | 0.707568 | + | 1.36804i | ||||
\(561\) | 1.65212 | + | 23.2713i | 0.0697524 | + | 0.982516i | ||||
\(562\) | −3.96384 | + | 16.3392i | −0.167205 | + | 0.689227i | ||||
\(563\) | 7.00318 | + | 28.8675i | 0.295149 | + | 1.21662i | 0.905451 | + | 0.424451i | \(0.139533\pi\) |
−0.610302 | + | 0.792169i | \(0.708952\pi\) | |||||||
\(564\) | 0.940523 | − | 0.0898090i | 0.0396032 | − | 0.00378164i | ||||
\(565\) | −17.7915 | + | 30.8157i | −0.748492 | + | 1.29643i | ||||
\(566\) | −1.85130 | − | 2.13651i | −0.0778159 | − | 0.0898043i | ||||
\(567\) | −3.44346 | + | 4.39065i | −0.144612 | + | 0.184390i | ||||
\(568\) | −10.2229 | + | 11.7979i | −0.428943 | + | 0.495027i | ||||
\(569\) | −34.3004 | + | 6.61087i | −1.43795 | + | 0.277142i | −0.847870 | − | 0.530204i | \(-0.822115\pi\) |
−0.590079 | + | 0.807346i | \(0.700903\pi\) | |||||||
\(570\) | −38.7584 | + | 15.5165i | −1.62341 | + | 0.649916i | ||||
\(571\) | −38.8600 | − | 20.0337i | −1.62624 | − | 0.838385i | −0.998185 | − | 0.0602166i | \(-0.980821\pi\) |
−0.628055 | − | 0.778169i | \(-0.716149\pi\) | |||||||
\(572\) | −0.363084 | + | 14.9234i | −0.0151813 | + | 0.623979i | ||||
\(573\) | −1.21805 | − | 0.782794i | −0.0508848 | − | 0.0327017i | ||||
\(574\) | −13.0882 | − | 20.3066i | −0.546292 | − | 0.847580i | ||||
\(575\) | −3.65536 | + | 4.21851i | −0.152439 | + | 0.175924i | ||||
\(576\) | 0.0156316 | + | 0.328147i | 0.000651316 | + | 0.0136728i | ||||
\(577\) | −19.2554 | − | 3.71118i | −0.801615 | − | 0.154499i | −0.228040 | − | 0.973652i | \(-0.573232\pi\) |
−0.573575 | + | 0.819153i | \(0.694444\pi\) | |||||||
\(578\) | 14.6123 | + | 25.3092i | 0.607791 | + | 1.05273i | ||||
\(579\) | −3.43276 | + | 14.1500i | −0.142661 | + | 0.588055i | ||||
\(580\) | 14.1692 | + | 9.10597i | 0.588343 | + | 0.378105i | ||||
\(581\) | 23.0521 | − | 13.3498i | 0.956361 | − | 0.553843i | ||||
\(582\) | −2.84059 | + | 19.7568i | −0.117746 | + | 0.818944i | ||||
\(583\) | −1.43945 | − | 5.38340i | −0.0596158 | − | 0.222958i | ||||
\(584\) | −3.40513 | + | 2.67782i | −0.140905 | + | 0.110809i | ||||
\(585\) | −9.70325 | + | 13.6263i | −0.401180 | + | 0.563378i | ||||
\(586\) | 0.531133 | + | 11.1498i | 0.0219409 | + | 0.460596i | ||||
\(587\) | −15.1663 | + | 33.2095i | −0.625978 | + | 1.37070i | 0.285112 | + | 0.958494i | \(0.407969\pi\) |
−0.911090 | + | 0.412207i | \(0.864758\pi\) | |||||||
\(588\) | 5.57120 | − | 7.86762i | 0.229752 | − | 0.324455i | ||||
\(589\) | 4.57703 | − | 31.8339i | 0.188593 | − | 1.31169i | ||||
\(590\) | −26.6300 | + | 25.3916i | −1.09634 | + | 1.04536i | ||||
\(591\) | 5.58257 | + | 23.0117i | 0.229636 | + | 0.946574i | ||||
\(592\) | −13.0234 | + | 37.6285i | −0.535257 | + | 1.54652i | ||||
\(593\) | 34.4985 | − | 6.64904i | 1.41668 | − | 0.273044i | 0.577278 | − | 0.816548i | \(-0.304115\pi\) |
0.839406 | + | 0.543504i | \(0.182903\pi\) | |||||||
\(594\) | 31.5360 | − | 6.84290i | 1.29394 | − | 0.280768i | ||||
\(595\) | 19.3552 | − | 37.6661i | 0.793485 | − | 1.54416i | ||||
\(596\) | 12.3782 | 0.507032 | ||||||||
\(597\) | 2.09117 | − | 8.61992i | 0.0855859 | − | 0.352790i | ||||
\(598\) | 11.6598 | − | 9.16937i | 0.476805 | − | 0.374963i | ||||
\(599\) | 26.6048 | − | 2.54045i | 1.08704 | − | 0.103800i | 0.463885 | − | 0.885895i | \(-0.346455\pi\) |
0.623159 | + | 0.782095i | \(0.285849\pi\) | |||||||
\(600\) | −3.56889 | + | 3.40293i | −0.145699 | + | 0.138924i | ||||
\(601\) | 24.8483 | + | 28.6765i | 1.01358 | + | 1.16974i | 0.985421 | + | 0.170134i | \(0.0544201\pi\) |
0.0281626 | + | 0.999603i | \(0.491034\pi\) | |||||||
\(602\) | 10.7672 | − | 36.8498i | 0.438836 | − | 1.50189i | ||||
\(603\) | −4.57381 | + | 10.0152i | −0.186260 | + | 0.407852i | ||||
\(604\) | −6.47584 | + | 11.2165i | −0.263498 | + | 0.456392i | ||||
\(605\) | −30.3792 | − | 1.47912i | −1.23509 | − | 0.0601348i | ||||
\(606\) | 10.8963 | + | 18.8729i | 0.442632 | + | 0.766660i | ||||
\(607\) | 25.4101 | + | 35.6835i | 1.03136 | + | 1.44835i | 0.888651 | + | 0.458585i | \(0.151644\pi\) |
0.142714 | + | 0.989764i | \(0.454417\pi\) | |||||||
\(608\) | −40.3700 | −1.63722 | ||||||||
\(609\) | −1.61977 | + | 17.2034i | −0.0656362 | + | 0.697117i | ||||
\(610\) | 36.2867 | + | 10.6547i | 1.46920 | + | 0.431397i | ||||
\(611\) | 1.58032 | + | 2.21925i | 0.0639329 | + | 0.0897813i | ||||
\(612\) | 7.85637 | − | 6.17832i | 0.317575 | − | 0.249744i | ||||
\(613\) | −15.2532 | − | 14.5439i | −0.616071 | − | 0.587422i | 0.316419 | − | 0.948620i | \(-0.397520\pi\) |
−0.932489 | + | 0.361197i | \(0.882368\pi\) | |||||||
\(614\) | 14.4480 | − | 25.0246i | 0.583073 | − | 1.00991i | ||||
\(615\) | 11.3502 | − | 13.0988i | 0.457683 | − | 0.528195i | ||||
\(616\) | 12.9999 | − | 3.49443i | 0.523781 | − | 0.140795i | ||||
\(617\) | −7.23438 | − | 8.34892i | −0.291245 | − | 0.336115i | 0.591204 | − | 0.806522i | \(-0.298653\pi\) |
−0.882450 | + | 0.470407i | \(0.844107\pi\) | |||||||
\(618\) | 27.4005 | − | 5.28101i | 1.10221 | − | 0.212433i | ||||
\(619\) | −0.663742 | − | 2.73598i | −0.0266780 | − | 0.109968i | 0.956916 | − | 0.290365i | \(-0.0937769\pi\) |
−0.983594 | + | 0.180397i | \(0.942262\pi\) | |||||||
\(620\) | 3.38497 | + | 13.9530i | 0.135944 | + | 0.560367i | ||||
\(621\) | −9.11695 | − | 7.16965i | −0.365851 | − | 0.287708i | ||||
\(622\) | −41.8804 | − | 26.9149i | −1.67925 | − | 1.07919i | ||||
\(623\) | 27.7191 | + | 23.9546i | 1.11054 | + | 0.959721i | ||||
\(624\) | 20.2261 | − | 12.9985i | 0.809691 | − | 0.520357i | ||||
\(625\) | 31.0875 | + | 2.96849i | 1.24350 | + | 0.118740i | ||||
\(626\) | −43.2751 | + | 34.0319i | −1.72962 | + | 1.36019i | ||||
\(627\) | 4.67675 | + | 27.9012i | 0.186771 | + | 1.11427i | ||||
\(628\) | 7.26177 | + | 5.71072i | 0.289776 | + | 0.227883i | ||||
\(629\) | 44.3906 | − | 13.0342i | 1.76997 | − | 0.519709i | ||||
\(630\) | −18.6509 | − | 6.42751i | −0.743068 | − | 0.256078i | ||||
\(631\) | 3.29935 | − | 0.968776i | 0.131345 | − | 0.0385664i | −0.215399 | − | 0.976526i | \(-0.569105\pi\) |
0.346744 | + | 0.937960i | \(0.387287\pi\) | |||||||
\(632\) | 5.85907 | − | 10.1482i | 0.233061 | − | 0.403674i | ||||
\(633\) | 4.11073 | + | 0.792279i | 0.163387 | + | 0.0314903i | ||||
\(634\) | −24.5788 | − | 12.6713i | −0.976150 | − | 0.503240i | ||||
\(635\) | 6.56561 | + | 18.9701i | 0.260548 | + | 0.752804i | ||||
\(636\) | 1.51531 | − | 1.74876i | 0.0600860 | − | 0.0693430i | ||||
\(637\) | 27.6801 | + | 2.56925i | 1.09672 | + | 0.101797i | ||||
\(638\) | 22.3237 | − | 22.3003i | 0.883804 | − | 0.882876i | ||||
\(639\) | −0.737631 | − | 15.4848i | −0.0291802 | − | 0.612568i | ||||
\(640\) | −28.5454 | + | 11.4279i | −1.12836 | + | 0.451726i | ||||
\(641\) | −5.67561 | + | 16.3986i | −0.224173 | + | 0.647706i | 0.775689 | + | 0.631115i | \(0.217402\pi\) |
−0.999862 | + | 0.0165908i | \(0.994719\pi\) | |||||||
\(642\) | 1.37040 | + | 3.95950i | 0.0540852 | + | 0.156269i | ||||
\(643\) | 2.22682 | + | 15.4879i | 0.0878172 | + | 0.610782i | 0.985441 | + | 0.170019i | \(0.0543830\pi\) |
−0.897623 | + | 0.440763i | \(0.854708\pi\) | |||||||
\(644\) | 5.15892 | + | 3.66337i | 0.203290 | + | 0.144357i | ||||
\(645\) | 27.5422 | 1.08447 | ||||||||
\(646\) | 41.7229 | + | 58.5917i | 1.64157 | + | 2.30526i | ||||
\(647\) | −2.77956 | − | 11.4575i | −0.109276 | − | 0.450442i | 0.890716 | − | 0.454561i | \(-0.150204\pi\) |
−0.999992 | + | 0.00411949i | \(0.998689\pi\) | |||||||
\(648\) | −2.34153 | − | 2.23265i | −0.0919841 | − | 0.0877066i | ||||
\(649\) | 12.9659 | + | 21.2971i | 0.508958 | + | 0.835986i | ||||
\(650\) | 17.8426 | + | 5.23906i | 0.699845 | + | 0.205493i | ||||
\(651\) | −11.1193 | + | 9.66075i | −0.435802 | + | 0.378635i | ||||
\(652\) | 1.61660 | + | 3.53986i | 0.0633110 | + | 0.138632i | ||||
\(653\) | −29.7048 | − | 23.3601i | −1.16244 | − | 0.914152i | −0.165044 | − | 0.986286i | \(-0.552776\pi\) |
−0.997395 | + | 0.0721345i | \(0.977019\pi\) | |||||||
\(654\) | 22.5006 | + | 21.4543i | 0.879844 | + | 0.838929i | ||||
\(655\) | 47.0433 | + | 24.2525i | 1.83813 | + | 0.947623i | ||||
\(656\) | 22.8439 | − | 11.7768i | 0.891903 | − | 0.459808i | ||||
\(657\) | 0.612214 | − | 4.25804i | 0.0238848 | − | 0.166122i | ||||
\(658\) | −1.98274 | + | 2.52813i | −0.0772952 | + | 0.0985568i | ||||
\(659\) | 13.3321 | − | 29.1932i | 0.519344 | − | 1.13720i | −0.450343 | − | 0.892855i | \(-0.648698\pi\) |
0.969687 | − | 0.244349i | \(-0.0785743\pi\) | |||||||
\(660\) | −6.56768 | − | 10.7877i | −0.255646 | − | 0.419910i | ||||
\(661\) | 7.24962 | − | 10.1807i | 0.281977 | − | 0.395982i | −0.649159 | − | 0.760653i | \(-0.724879\pi\) |
0.931137 | + | 0.364671i | \(0.118818\pi\) | |||||||
\(662\) | −14.0435 | − | 7.23993i | −0.545816 | − | 0.281388i | ||||
\(663\) | −25.9340 | − | 10.3824i | −1.00719 | − | 0.403219i | ||||
\(664\) | 6.41636 | + | 14.0499i | 0.249003 | + | 0.545241i | ||||
\(665\) | 19.0226 | − | 47.6990i | 0.737667 | − | 1.84969i | ||||
\(666\) | −8.95295 | − | 19.6042i | −0.346920 | − | 0.759648i | ||||
\(667\) | −11.2897 | − | 1.07804i | −0.437139 | − | 0.0417417i | ||||
\(668\) | 11.6130 | − | 9.13255i | 0.449320 | − | 0.353349i | ||||
\(669\) | −23.3734 | − | 12.0498i | −0.903668 | − | 0.465873i | ||||
\(670\) | 35.2137 | + | 3.36250i | 1.36042 | + | 0.129905i | ||||
\(671\) | 12.2935 | − | 22.4859i | 0.474587 | − | 0.868057i | ||||
\(672\) | 13.9894 | + | 12.0896i | 0.539654 | + | 0.466365i | ||||
\(673\) | 6.52616 | + | 45.3904i | 0.251565 | + | 1.74967i | 0.588825 | + | 0.808260i | \(0.299591\pi\) |
−0.337261 | + | 0.941411i | \(0.609500\pi\) | |||||||
\(674\) | 16.2114 | + | 12.7488i | 0.624441 | + | 0.491066i | ||||
\(675\) | 0.691858 | − | 14.5239i | 0.0266296 | − | 0.559025i | ||||
\(676\) | −2.79161 | − | 1.43918i | −0.107370 | − | 0.0553529i | ||||
\(677\) | −0.348966 | + | 1.43846i | −0.0134118 | + | 0.0552844i | −0.978124 | − | 0.208021i | \(-0.933298\pi\) |
0.964712 | + | 0.263306i | \(0.0848128\pi\) | |||||||
\(678\) | −3.93939 | + | 27.3991i | −0.151291 | + | 1.05225i | ||||
\(679\) | −15.2021 | − | 19.2784i | −0.583401 | − | 0.739839i | ||||
\(680\) | 20.6564 | + | 13.2751i | 0.792138 | + | 0.509076i | ||||
\(681\) | −9.91538 | + | 9.45429i | −0.379958 | + | 0.362289i | ||||
\(682\) | 26.8908 | − | 0.625992i | 1.02970 | − | 0.0239705i | ||||
\(683\) | −28.2187 | − | 26.9065i | −1.07976 | − | 1.02955i | −0.999463 | − | 0.0327768i | \(-0.989565\pi\) |
−0.0802961 | − | 0.996771i | \(-0.525587\pi\) | |||||||
\(684\) | 8.77154 | − | 8.36365i | 0.335388 | − | 0.319792i | ||||
\(685\) | −20.3942 | + | 44.6570i | −0.779222 | + | 1.70626i | ||||
\(686\) | 6.33197 | + | 32.1660i | 0.241756 | + | 1.22810i | ||||
\(687\) | −6.99437 | − | 8.07194i | −0.266852 | − | 0.307964i | ||||
\(688\) | 37.9152 | + | 15.1790i | 1.44550 | + | 0.578693i | ||||
\(689\) | 6.55190 | + | 1.26278i | 0.249608 | + | 0.0481079i | ||||
\(690\) | −4.10462 | + | 11.8595i | −0.156260 | + | 0.451484i | ||||
\(691\) | 27.4814 | + | 21.6116i | 1.04544 | + | 0.822144i | 0.984392 | − | 0.175991i | \(-0.0563128\pi\) |
0.0610496 | + | 0.998135i | \(0.480555\pi\) | |||||||
\(692\) | −6.02302 | + | 3.87076i | −0.228961 | + | 0.147144i | ||||
\(693\) | −6.94843 | + | 11.4201i | −0.263949 | + | 0.433814i | ||||
\(694\) | 32.7926 | + | 21.0745i | 1.24479 | + | 0.799978i | ||||
\(695\) | 17.9697 | + | 51.9201i | 0.681631 | + | 1.96944i | ||||
\(696\) | −9.83798 | − | 1.89612i | −0.372908 | − | 0.0718721i | ||||
\(697\) | −26.5420 | − | 13.6833i | −1.00535 | − | 0.518293i | ||||
\(698\) | −8.13270 | − | 23.4979i | −0.307827 | − | 0.889408i | ||||
\(699\) | −20.1393 | −0.761738 | ||||||||
\(700\) | 0.0104926 | + | 7.93224i | 0.000396583 | + | 0.299810i | ||||
\(701\) | −36.0044 | − | 23.1386i | −1.35987 | − | 0.873934i | −0.361575 | − | 0.932343i | \(-0.617761\pi\) |
−0.998293 | + | 0.0584090i | \(0.981397\pi\) | |||||||
\(702\) | −9.10965 | + | 37.5505i | −0.343821 | + | 1.41725i | ||||
\(703\) | 52.0830 | − | 20.8509i | 1.96435 | − | 0.786405i | ||||
\(704\) | −0.118235 | − | 0.705381i | −0.00445614 | − | 0.0265851i | ||||
\(705\) | −2.13989 | − | 0.856681i | −0.0805928 | − | 0.0322645i | ||||
\(706\) | −1.80522 | − | 3.95287i | −0.0679403 | − | 0.148768i | ||||
\(707\) | −26.0581 | − | 6.28515i | −0.980017 | − | 0.236377i | ||||
\(708\) | −4.30099 | + | 9.41786i | −0.161641 | + | 0.353945i | ||||
\(709\) | 19.4820 | − | 10.0437i | 0.731662 | − | 0.377198i | −0.0517839 | − | 0.998658i | \(-0.516491\pi\) |
0.783445 | + | 0.621461i | \(0.213460\pi\) | |||||||
\(710\) | −46.2385 | + | 18.5111i | −1.73530 | + | 0.694710i | ||||
\(711\) | 2.74346 | + | 11.3087i | 0.102888 | + | 0.424110i | ||||
\(712\) | −15.3737 | + | 14.6588i | −0.576153 | + | 0.549361i | ||||
\(713\) | −6.33099 | − | 7.30635i | −0.237097 | − | 0.273625i | ||||
\(714\) | 3.08810 | − | 32.7985i | 0.115569 | − | 1.22745i | ||||
\(715\) | 17.4705 | − | 31.9549i | 0.653359 | − | 1.19505i | ||||
\(716\) | 1.80471 | + | 5.21436i | 0.0674451 | + | 0.194870i | ||||
\(717\) | 2.29476 | + | 3.97464i | 0.0856993 | + | 0.148436i | ||||
\(718\) | −2.83515 | − | 2.70331i | −0.105807 | − | 0.100887i | ||||
\(719\) | 31.2609 | + | 12.5150i | 1.16584 | + | 0.466731i | 0.872182 | − | 0.489181i | \(-0.162704\pi\) |
0.293654 | + | 0.955912i | \(0.405129\pi\) | |||||||
\(720\) | 8.71804 | − | 19.0899i | 0.324902 | − | 0.711437i | ||||
\(721\) | −18.5185 | + | 28.8993i | −0.689664 | + | 1.07627i | ||||
\(722\) | 35.0943 | + | 40.5010i | 1.30608 | + | 1.50729i | ||||
\(723\) | −8.72050 | + | 15.1044i | −0.324319 | + | 0.561737i | ||||
\(724\) | 7.26515 | − | 0.693738i | 0.270007 | − | 0.0257826i | ||||
\(725\) | −7.10888 | − | 12.3129i | −0.264017 | − | 0.457291i | ||||
\(726\) | −22.3675 | + | 7.71518i | −0.830136 | + | 0.286337i | ||||
\(727\) | −10.9707 | −0.406881 | −0.203441 | − | 0.979087i | \(-0.565212\pi\) | ||||
−0.203441 | + | 0.979087i | \(0.565212\pi\) | |||||||
\(728\) | −3.02951 | + | 15.8313i | −0.112281 | + | 0.586746i | ||||
\(729\) | 23.2506 | 0.861132 | ||||||||
\(730\) | −13.5713 | + | 2.61565i | −0.502295 | + | 0.0968094i | ||||
\(731\) | −11.1873 | − | 46.1147i | −0.413777 | − | 1.70561i | ||||
\(732\) | 10.5932 | − | 1.01153i | 0.391538 | − | 0.0373873i | ||||
\(733\) | −9.09122 | − | 3.63957i | −0.335792 | − | 0.134431i | 0.197638 | − | 0.980275i | \(-0.436673\pi\) |
−0.533430 | + | 0.845844i | \(0.679097\pi\) | |||||||
\(734\) | 38.5331 | − | 11.3143i | 1.42228 | − | 0.417620i | ||||
\(735\) | −20.8763 | + | 10.8325i | −0.770034 | + | 0.399562i | ||||
\(736\) | −7.94688 | + | 9.17119i | −0.292926 | + | 0.338055i | ||||
\(737\) | 7.31066 | − | 22.8284i | 0.269292 | − | 0.840895i | ||||
\(738\) | −4.54972 | + | 13.1456i | −0.167478 | + | 0.483895i | ||||
\(739\) | 14.2507 | − | 41.1746i | 0.524219 | − | 1.51463i | −0.303134 | − | 0.952948i | \(-0.598033\pi\) |
0.827353 | − | 0.561683i | \(-0.189846\pi\) | |||||||
\(740\) | −18.1262 | + | 17.2833i | −0.666333 | + | 0.635347i | ||||
\(741\) | −32.5025 | − | 9.54360i | −1.19401 | − | 0.350593i | ||||
\(742\) | 0.758340 | + | 7.83219i | 0.0278395 | + | 0.287529i | ||||
\(743\) | −37.9190 | − | 24.3691i | −1.39111 | − | 0.894014i | −0.391456 | − | 0.920197i | \(-0.628028\pi\) |
−0.999657 | + | 0.0261828i | \(0.991665\pi\) | |||||||
\(744\) | −4.95411 | − | 6.95707i | −0.181626 | − | 0.255059i | ||||
\(745\) | −26.8417 | − | 13.8379i | −0.983404 | − | 0.506980i | ||||
\(746\) | 25.9896 | − | 36.4973i | 0.951548 | − | 1.33626i | ||||
\(747\) | −14.2396 | − | 5.70069i | −0.521001 | − | 0.208577i | ||||
\(748\) | −15.3944 | + | 15.3783i | −0.562876 | + | 0.562285i | ||||
\(749\) | −4.69083 | − | 2.13473i | −0.171399 | − | 0.0780015i | ||||
\(750\) | 13.4371 | − | 3.94549i | 0.490654 | − | 0.144069i | ||||
\(751\) | 45.0744 | − | 23.2375i | 1.64479 | − | 0.847947i | 0.648560 | − | 0.761163i | \(-0.275371\pi\) |
0.996227 | − | 0.0867835i | \(-0.0276589\pi\) | |||||||
\(752\) | −2.47368 | − | 2.35865i | −0.0902059 | − | 0.0860112i | ||||
\(753\) | 10.7513 | + | 18.6218i | 0.391798 | + | 0.678614i | ||||
\(754\) | 12.3574 | + | 35.7044i | 0.450030 | + | 1.30028i | ||||
\(755\) | 26.5817 | − | 17.0830i | 0.967409 | − | 0.621716i | ||||
\(756\) | −16.4624 | + | 0.806027i | −0.598731 | + | 0.0293149i | ||||
\(757\) | −29.5672 | + | 34.1223i | −1.07464 | + | 1.24020i | −0.105306 | + | 0.994440i | \(0.533582\pi\) |
−0.969331 | + | 0.245758i | \(0.920963\pi\) | |||||||
\(758\) | 36.4219 | − | 18.7768i | 1.32290 | − | 0.682003i | ||||
\(759\) | 7.25917 | + | 4.42992i | 0.263491 | + | 0.160796i | ||||
\(760\) | 26.4653 | + | 13.6438i | 0.959997 | + | 0.494913i | ||||
\(761\) | −24.7715 | − | 19.4806i | −0.897968 | − | 0.706170i | 0.0584131 | − | 0.998292i | \(-0.481396\pi\) |
−0.956381 | + | 0.292123i | \(0.905638\pi\) | |||||||
\(762\) | 10.2264 | + | 11.8019i | 0.370464 | + | 0.427538i | ||||
\(763\) | −38.1952 | + | 1.87011i | −1.38276 | + | 0.0677024i | ||||
\(764\) | −0.192188 | − | 1.33670i | −0.00695311 | − | 0.0483600i | ||||
\(765\) | −23.9431 | + | 4.61466i | −0.865665 | + | 0.166843i | ||||
\(766\) | 11.9361 | + | 20.6739i | 0.431268 | + | 0.746978i | ||||
\(767\) | −29.7201 | + | 2.83792i | −1.07313 | + | 0.102471i | ||||
\(768\) | −17.6907 | + | 16.8681i | −0.638359 | + | 0.608674i | ||||
\(769\) | −9.19210 | + | 2.69905i | −0.331476 | + | 0.0973301i | −0.443236 | − | 0.896405i | \(-0.646169\pi\) |
0.111760 | + | 0.993735i | \(0.464351\pi\) | |||||||
\(770\) | 41.9743 | + | 9.09589i | 1.51265 | + | 0.327793i | ||||
\(771\) | −8.99743 | − | 2.64188i | −0.324035 | − | 0.0951451i | ||||
\(772\) | −12.0707 | + | 6.22290i | −0.434436 | + | 0.223967i | ||||
\(773\) | 1.28727 | − | 1.80772i | 0.0463000 | − | 0.0650193i | −0.790777 | − | 0.612104i | \(-0.790323\pi\) |
0.837077 | + | 0.547085i | \(0.184263\pi\) | |||||||
\(774\) | −20.5217 | + | 8.21563i | −0.737636 | + | 0.295305i | ||||
\(775\) | 2.85738 | − | 11.7783i | 0.102640 | − | 0.423088i | ||||
\(776\) | 11.9755 | − | 7.69620i | 0.429896 | − | 0.276278i | ||||
\(777\) | −24.2925 | − | 8.37175i | −0.871489 | − | 0.300335i | ||||
\(778\) | 0.766593 | − | 5.33177i | 0.0274837 | − | 0.191153i | ||||
\(779\) | −33.6170 | − | 13.4582i | −1.20445 | − | 0.482190i | ||||
\(780\) | 15.0542 | − | 1.43750i | 0.539026 | − | 0.0514708i | ||||
\(781\) | 5.57933 | + | 33.2859i | 0.199644 | + | 1.19106i | ||||
\(782\) | 21.5240 | + | 2.05529i | 0.769695 | + | 0.0734970i | ||||
\(783\) | 24.8528 | − | 15.9719i | 0.888165 | − | 0.570789i | ||||
\(784\) | −34.7087 | + | 3.40696i | −1.23960 | + | 0.121677i | ||||
\(785\) | −9.36275 | − | 20.5016i | −0.334171 | − | 0.731732i | ||||
\(786\) | 40.9867 | + | 3.91375i | 1.46195 | + | 0.139599i | ||||
\(787\) | −9.23982 | + | 12.9755i | −0.329364 | + | 0.462527i | −0.945740 | − | 0.324925i | \(-0.894661\pi\) |
0.616376 | + | 0.787452i | \(0.288600\pi\) | |||||||
\(788\) | −12.8107 | + | 17.9902i | −0.456364 | + | 0.640873i | ||||
\(789\) | −3.98048 | − | 1.59355i | −0.141709 | − | 0.0567317i | ||||
\(790\) | 31.4517 | − | 20.2128i | 1.11900 | − | 0.719140i | ||||
\(791\) | −21.0825 | − | 26.7357i | −0.749608 | − | 0.950613i | ||||
\(792\) | −6.20254 | − | 4.64825i | −0.220398 | − | 0.165168i | ||||
\(793\) | 17.7994 | + | 24.9957i | 0.632075 | + | 0.887625i | ||||
\(794\) | −23.5612 | + | 18.5287i | −0.836156 | + | 0.657560i | ||||
\(795\) | −5.24087 | + | 2.09813i | −0.185875 | + | 0.0744130i | ||||
\(796\) | 7.35326 | − | 3.79087i | 0.260629 | − | 0.134364i | ||||
\(797\) | 24.1555 | − | 15.5238i | 0.855630 | − | 0.549880i | −0.0376958 | − | 0.999289i | \(-0.512002\pi\) |
0.893326 | + | 0.449409i | \(0.148365\pi\) | |||||||
\(798\) | −0.0528426 | − | 39.9482i | −0.00187061 | − | 1.41415i | ||||
\(799\) | −0.565170 | + | 3.93084i | −0.0199943 | + | 0.139063i | ||||
\(800\) | −15.1445 | − | 1.44612i | −0.535438 | − | 0.0511281i | ||||
\(801\) | 1.00372 | − | 21.0707i | 0.0354647 | − | 0.744497i | ||||
\(802\) | −15.5030 | − | 63.9041i | −0.547429 | − | 2.25653i | ||||
\(803\) | −0.227795 | + | 9.36278i | −0.00803872 | + | 0.330405i | ||||
\(804\) | 9.55034 | − | 2.80423i | 0.336815 | − | 0.0988977i | ||||
\(805\) | −7.09156 | − | 13.7111i | −0.249945 | − | 0.483254i | ||||
\(806\) | −13.3795 | + | 29.2970i | −0.471273 | + | 1.03194i | ||||
\(807\) | −8.03603 | + | 13.9188i | −0.282882 | + | 0.489966i | ||||
\(808\) | 5.08341 | − | 14.6876i | 0.178834 | − | 0.516707i | ||||
\(809\) | 14.0702 | − | 11.0649i | 0.494681 | − | 0.389022i | −0.339418 | − | 0.940636i | \(-0.610230\pi\) |
0.834100 | + | 0.551614i | \(0.185988\pi\) | |||||||
\(810\) | −3.37612 | − | 9.75466i | −0.118625 | − | 0.342744i | ||||
\(811\) | −16.8215 | − | 19.4131i | −0.590684 | − | 0.681686i | 0.379183 | − | 0.925322i | \(-0.376205\pi\) |
−0.969867 | + | 0.243636i | \(0.921660\pi\) | |||||||
\(812\) | −13.1157 | + | 9.36580i | −0.460270 | + | 0.328675i | ||||
\(813\) | −6.47007 | + | 4.15806i | −0.226915 | + | 0.145830i | ||||
\(814\) | 24.3996 | + | 40.0775i | 0.855207 | + | 1.40472i | ||||
\(815\) | 0.451745 | − | 9.48329i | 0.0158239 | − | 0.332185i | ||||
\(816\) | 34.4127 | + | 6.63251i | 1.20469 | + | 0.232184i | ||||
\(817\) | −18.8201 | − | 54.3771i | −0.658432 | − | 1.90241i | ||||
\(818\) | −28.2345 | + | 18.1452i | −0.987195 | + | 0.634432i | ||||
\(819\) | −8.67159 | − | 13.4541i | −0.303010 | − | 0.470124i | ||||
\(820\) | 16.1656 | 0.564526 | ||||||||
\(821\) | −10.4700 | + | 43.1578i | −0.365405 | + | 1.50622i | 0.431499 | + | 0.902113i | \(0.357985\pi\) |
−0.796904 | + | 0.604106i | \(0.793530\pi\) | |||||||
\(822\) | −1.81720 | + | 38.1478i | −0.0633822 | + | 1.33056i | ||||
\(823\) | 21.3621 | + | 20.3687i | 0.744636 | + | 0.710009i | 0.964079 | − | 0.265616i | \(-0.0855753\pi\) |
−0.219442 | + | 0.975625i | \(0.570424\pi\) | |||||||
\(824\) | −15.6437 | − | 12.3023i | −0.544973 | − | 0.428572i | ||||
\(825\) | 0.754976 | + | 10.6344i | 0.0262849 | + | 0.370243i | ||||
\(826\) | −13.1288 | − | 32.6687i | −0.456808 | − | 1.13669i | ||||
\(827\) | 2.68437 | + | 5.87795i | 0.0933447 | + | 0.204396i | 0.950545 | − | 0.310587i | \(-0.100525\pi\) |
−0.857200 | + | 0.514983i | \(0.827798\pi\) | |||||||
\(828\) | −0.173352 | − | 3.63910i | −0.00602438 | − | 0.126467i | ||||
\(829\) | 37.5759 | − | 3.58806i | 1.30506 | − | 0.124618i | 0.580746 | − | 0.814085i | \(-0.302761\pi\) |
0.724317 | + | 0.689467i | \(0.242155\pi\) | |||||||
\(830\) | −2.34481 | + | 49.2236i | −0.0813895 | + | 1.70858i | ||||
\(831\) | 17.8044 | + | 14.0015i | 0.617628 | + | 0.485708i | ||||
\(832\) | 0.821710 | + | 0.241276i | 0.0284877 | + | 0.00836473i | ||||
\(833\) | 26.6168 | + | 30.5537i | 0.922217 | + | 1.05862i | ||||
\(834\) | 27.9892 | + | 32.3012i | 0.969186 | + | 1.11850i | ||||
\(835\) | −35.3918 | + | 6.82121i | −1.22478 | + | 0.236058i | ||||
\(836\) | −16.8105 | + | 20.3381i | −0.581404 | + | 0.703408i | ||||
\(837\) | 24.7284 | + | 4.76602i | 0.854740 | + | 0.164738i | ||||
\(838\) | −27.8362 | + | 48.2136i | −0.961584 | + | 1.66551i | ||||
\(839\) | 34.4140 | − | 10.1049i | 1.18810 | − | 0.348859i | 0.372811 | − | 0.927907i | \(-0.378394\pi\) |
0.815293 | + | 0.579049i | \(0.196576\pi\) | |||||||
\(840\) | −5.08513 | − | 12.6535i | −0.175454 | − | 0.436588i | ||||
\(841\) | −0.0469087 | + | 0.102716i | −0.00161754 | + | 0.00354192i | ||||
\(842\) | −25.0687 | + | 23.9029i | −0.863924 | + | 0.823750i | ||||
\(843\) | 3.77495 | − | 10.9070i | 0.130016 | − | 0.375657i | ||||
\(844\) | 1.95230 | + | 3.38148i | 0.0672010 | + | 0.116395i | ||||
\(845\) | 4.44462 | + | 6.24159i | 0.152900 | + | 0.214717i | ||||
\(846\) | 1.84997 | 0.0636032 | ||||||||
\(847\) | 12.0827 | − | 26.4766i | 0.415167 | − | 0.909745i | ||||
\(848\) | −8.37101 | −0.287462 | ||||||||
\(849\) | 1.12570 | + | 1.58083i | 0.0386340 | + | 0.0542538i | ||||
\(850\) | 13.5532 | + | 23.4748i | 0.464870 | + | 0.805178i | ||||
\(851\) | 5.51572 | − | 15.9366i | 0.189077 | − | 0.546301i | ||||
\(852\) | −10.1428 | + | 9.67114i | −0.347486 | + | 0.331328i | ||||
\(853\) | 5.42935 | − | 11.8886i | 0.185897 | − | 0.407058i | −0.793621 | − | 0.608412i | \(-0.791807\pi\) |
0.979519 | + | 0.201354i | \(0.0645341\pi\) | |||||||
\(854\) | −22.3319 | + | 28.4747i | −0.764181 | + | 0.974385i | ||||
\(855\) | −28.3706 | + | 8.33037i | −0.970255 | + | 0.284893i | ||||
\(856\) | 1.49412 | − | 2.58790i | 0.0510681 | − | 0.0884526i | ||||
\(857\) | 10.5850 | + | 2.04010i | 0.361578 | + | 0.0696885i | 0.366805 | − | 0.930298i | \(-0.380452\pi\) |
−0.00522681 | + | 0.999986i | \(0.501664\pi\) | |||||||
\(858\) | 3.37822 | − | 28.1290i | 0.115330 | − | 0.960308i | ||||
\(859\) | 27.6146 | − | 5.32227i | 0.942197 | − | 0.181594i | 0.305050 | − | 0.952336i | \(-0.401327\pi\) |
0.637147 | + | 0.770743i | \(0.280115\pi\) | |||||||
\(860\) | 16.8223 | + | 19.4140i | 0.573636 | + | 0.662011i | ||||
\(861\) | 7.61899 | + | 14.7309i | 0.259655 | + | 0.502028i | ||||
\(862\) | 4.48822 | + | 1.31786i | 0.152869 | + | 0.0448865i | ||||
\(863\) | −15.5764 | − | 12.2494i | −0.530227 | − | 0.416975i | 0.316826 | − | 0.948484i | \(-0.397383\pi\) |
−0.847053 | + | 0.531509i | \(0.821625\pi\) | |||||||
\(864\) | 1.50412 | − | 31.5755i | 0.0511714 | − | 1.07422i | ||||
\(865\) | 17.3879 | − | 1.66034i | 0.591206 | − | 0.0564533i | ||||
\(866\) | 0.167340 | + | 3.51291i | 0.00568646 | + | 0.119373i | ||||
\(867\) | −8.33404 | − | 18.2490i | −0.283039 | − | 0.619769i | ||||
\(868\) | −13.6012 | − | 1.93719i | −0.461654 | − | 0.0657526i | ||||
\(869\) | −8.84101 | − | 23.7417i | −0.299911 | − | 0.805383i | ||||
\(870\) | −25.1268 | − | 19.7599i | −0.851878 | − | 0.669924i | ||||
\(871\) | 20.7726 | + | 19.8066i | 0.703852 | + | 0.671122i | ||||
\(872\) | 1.05503 | − | 22.1479i | 0.0357279 | − | 0.750022i | ||||
\(873\) | −3.33279 | + | 13.7379i | −0.112798 | + | 0.464959i | ||||
\(874\) | 26.2192 | 0.886879 | ||||||||
\(875\) | −7.87303 | + | 15.3213i | −0.266157 | + | 0.517953i | ||||
\(876\) | −3.27161 | + | 2.10254i | −0.110538 | + | 0.0710382i | ||||
\(877\) | −7.42107 | − | 21.4418i | −0.250592 | − | 0.724037i | −0.998204 | − | 0.0599022i | \(-0.980921\pi\) |
0.747612 | − | 0.664135i | \(-0.231200\pi\) | |||||||
\(878\) | −21.0907 | − | 4.06489i | −0.711776 | − | 0.137184i | ||||
\(879\) | 0.364610 | − | 7.65410i | 0.0122980 | − | 0.258166i | ||||
\(880\) | −13.9347 | + | 43.5127i | −0.469739 | + | 1.46681i | ||||
\(881\) | −33.8062 | + | 21.7259i | −1.13896 | + | 0.731966i | −0.967411 | − | 0.253210i | \(-0.918514\pi\) |
−0.171549 | + | 0.985176i | \(0.554877\pi\) | |||||||
\(882\) | 12.3236 | − | 14.2985i | 0.414958 | − | 0.481455i | ||||
\(883\) | 1.38363 | + | 1.59680i | 0.0465629 | + | 0.0537365i | 0.778553 | − | 0.627579i | \(-0.215954\pi\) |
−0.731990 | + | 0.681315i | \(0.761408\pi\) | |||||||
\(884\) | −8.52166 | − | 24.6217i | −0.286614 | − | 0.828118i | ||||
\(885\) | 19.8549 | − | 15.6141i | 0.667416 | − | 0.524862i | ||||
\(886\) | 20.9576 | − | 60.5530i | 0.704084 | − | 2.03432i | ||||
\(887\) | −9.33247 | + | 16.1643i | −0.313354 | + | 0.542745i | −0.979086 | − | 0.203446i | \(-0.934786\pi\) |
0.665732 | + | 0.746191i | \(0.268119\pi\) | |||||||
\(888\) | 6.18898 | − | 13.5520i | 0.207689 | − | 0.454775i | ||||
\(889\) | −19.1877 | − | 0.888585i | −0.643534 | − | 0.0298022i | ||||
\(890\) | −65.0279 | + | 19.0939i | −2.17974 | + | 0.640030i | ||||
\(891\) | −6.94574 | + | 0.826765i | −0.232691 | + | 0.0276977i | ||||
\(892\) | −5.78237 | − | 23.8353i | −0.193608 | − | 0.798064i | ||||
\(893\) | −0.229138 | + | 4.81020i | −0.00766781 | + | 0.160967i | ||||
\(894\) | −23.3860 | − | 2.23309i | −0.782143 | − | 0.0746856i | ||||
\(895\) | 1.91580 | − | 13.3247i | 0.0640380 | − | 0.445394i | ||||
\(896\) | −0.0389184 | − | 29.4216i | −0.00130017 | − | 0.982908i | ||||
\(897\) | −8.56626 | + | 5.50520i | −0.286019 | + | 0.183813i | ||||
\(898\) | −54.4397 | + | 28.0656i | −1.81668 | + | 0.936562i | ||||
\(899\) | 22.8609 | − | 9.15211i | 0.762452 | − | 0.305240i | ||||
\(900\) | 3.59017 | − | 2.82334i | 0.119672 | − | 0.0941114i | ||||
\(901\) | 5.64173 | + | 7.92270i | 0.187953 | + | 0.263943i | ||||
\(902\) | 6.45307 | − | 29.5895i | 0.214864 | − | 0.985222i | ||||
\(903\) | −9.76250 | + | 24.4793i | −0.324876 | + | 0.814622i | ||||
\(904\) | 16.6079 | − | 10.6732i | 0.552370 | − | 0.354987i | ||||
\(905\) | −16.5297 | − | 6.61751i | −0.549467 | − | 0.219973i | ||||
\(906\) | 14.2582 | − | 20.0228i | 0.473697 | − | 0.665214i | ||||
\(907\) | 5.96625 | − | 8.37843i | 0.198106 | − | 0.278201i | −0.703558 | − | 0.710638i | \(-0.748407\pi\) |
0.901664 | + | 0.432436i | \(0.142346\pi\) | |||||||
\(908\) | −12.7203 | − | 1.21464i | −0.422137 | − | 0.0403092i | ||||
\(909\) | 6.41168 | + | 14.0396i | 0.212662 | + | 0.465665i | ||||
\(910\) | −31.7361 | + | 40.4657i | −1.05204 | + | 1.34143i | ||||
\(911\) | −38.8022 | + | 24.9367i | −1.28557 | + | 0.826188i | −0.991564 | − | 0.129614i | \(-0.958626\pi\) |
−0.294010 | + | 0.955802i | \(0.594990\pi\) | |||||||
\(912\) | 42.3053 | + | 4.03967i | 1.40087 | + | 0.133767i | ||||
\(913\) | 32.2509 | + | 8.65975i | 1.06735 | + | 0.286596i | ||||
\(914\) | 20.1769 | − | 1.92666i | 0.667392 | − | 0.0637282i | ||||
\(915\) | −24.1019 | − | 9.64893i | −0.796783 | − | 0.318984i | ||||
\(916\) | 1.41771 | − | 9.86039i | 0.0468425 | − | 0.325796i | ||||
\(917\) | −38.2302 | + | 33.2153i | −1.26247 | + | 1.09687i | ||||
\(918\) | −47.3821 | + | 30.4506i | −1.56384 | + | 1.00502i | ||||
\(919\) | 8.31670 | − | 34.2819i | 0.274343 | − | 1.13086i | −0.653214 | − | 0.757173i | \(-0.726580\pi\) |
0.927557 | − | 0.373683i | \(-0.121905\pi\) | |||||||
\(920\) | 8.30929 | − | 3.32654i | 0.273949 | − | 0.109673i | ||||
\(921\) | −11.5062 | + | 16.1582i | −0.379143 | + | 0.532431i | ||||
\(922\) | −37.1077 | + | 19.1304i | −1.22208 | + | 0.630025i | ||||
\(923\) | −38.7753 | − | 11.3854i | −1.27630 | − | 0.374757i | ||||
\(924\) | 11.9160 | − | 2.01355i | 0.392007 | − | 0.0662408i | ||||
\(925\) | 20.2854 | − | 5.95633i | 0.666980 | − | 0.195843i | ||||
\(926\) | 21.8409 | − | 20.8253i | 0.717738 | − | 0.684361i | ||||
\(927\) | 19.6738 | − | 1.87862i | 0.646172 | − | 0.0617020i | ||||
\(928\) | −15.4550 | − | 26.7688i | −0.507334 | − | 0.878728i | ||||
\(929\) | −46.9707 | + | 9.05287i | −1.54106 | + | 0.297015i | −0.887840 | − | 0.460153i | \(-0.847795\pi\) |
−0.653220 | + | 0.757168i | \(0.726582\pi\) | |||||||
\(930\) | −3.87797 | − | 26.9719i | −0.127164 | − | 0.884442i | ||||
\(931\) | 35.6519 | + | 33.8144i | 1.16844 | + | 1.10822i | ||||
\(932\) | −12.3007 | − | 14.1958i | −0.402923 | − | 0.464998i | ||||
\(933\) | 26.8634 | + | 21.1256i | 0.879468 | + | 0.691621i | ||||
\(934\) | 13.7460 | + | 7.08658i | 0.449784 | + | 0.231880i | ||||
\(935\) | 50.5739 | − | 16.1374i | 1.65394 | − | 0.527751i | ||||
\(936\) | 8.24924 | − | 4.25278i | 0.269635 | − | 0.139006i | ||||
\(937\) | −26.5127 | + | 30.5973i | −0.866134 | + | 0.999571i | 0.133830 | + | 0.991004i | \(0.457272\pi\) |
−0.999963 | + | 0.00856708i | \(0.997273\pi\) | |||||||
\(938\) | −15.4703 | + | 30.1058i | −0.505122 | + | 0.982990i | ||||
\(939\) | 31.7935 | − | 20.4324i | 1.03754 | − | 0.666787i | ||||
\(940\) | −0.703147 | − | 2.03161i | −0.0229341 | − | 0.0662638i | ||||
\(941\) | 5.00698 | + | 8.67234i | 0.163223 | + | 0.282710i | 0.936023 | − | 0.351940i | \(-0.114478\pi\) |
−0.772800 | + | 0.634650i | \(0.781144\pi\) | |||||||
\(942\) | −12.6893 | − | 12.0992i | −0.413439 | − | 0.394214i | ||||
\(943\) | −9.67495 | + | 4.98778i | −0.315060 | + | 0.162425i | ||||
\(944\) | 35.9379 | − | 10.5523i | 1.16968 | − | 0.343449i | ||||
\(945\) | 36.5991 | + | 16.6558i | 1.19057 | + | 0.541813i | ||||
\(946\) | 42.2506 | − | 23.0418i | 1.37368 | − | 0.749152i | ||||
\(947\) | −51.9762 | − | 20.8082i | −1.68900 | − | 0.676174i | −0.690130 | − | 0.723685i | \(-0.742447\pi\) |
−0.998871 | + | 0.0475110i | \(0.984871\pi\) | |||||||
\(948\) | 6.10215 | − | 8.56928i | 0.198189 | − | 0.278317i | ||||
\(949\) | −9.96760 | − | 5.13866i | −0.323562 | − | 0.166808i | ||||
\(950\) | 19.0664 | + | 26.7750i | 0.618595 | + | 0.868695i | ||||
\(951\) | 15.9695 | + | 10.2630i | 0.517847 | + | 0.332800i | ||||
\(952\) | −19.1206 | + | 13.6539i | −0.619702 | + | 0.442524i | ||||
\(953\) | 31.4875 | + | 9.24557i | 1.01998 | + | 0.299493i | 0.748631 | − | 0.662987i | \(-0.230712\pi\) |
0.271350 | + | 0.962481i | \(0.412530\pi\) | |||||||
\(954\) | 3.27911 | − | 3.12662i | 0.106165 | − | 0.101228i | ||||
\(955\) | −1.07757 | + | 3.11343i | −0.0348692 | + | 0.100748i | ||||
\(956\) | −1.40005 | + | 4.04517i | −0.0452807 | + | 0.130830i | ||||
\(957\) | −16.7105 | + | 13.7826i | −0.540172 | + | 0.445527i | ||||
\(958\) | −19.5280 | + | 22.5365i | −0.630922 | + | 0.728122i | ||||
\(959\) | −32.4620 | − | 33.9551i | −1.04825 | − | 1.09647i | ||||
\(960\) | −0.695207 | + | 0.204131i | −0.0224377 | + | 0.00658831i | ||||
\(961\) | −9.29167 | − | 3.71982i | −0.299731 | − | 0.119994i | ||||
\(962\) | −55.9279 | + | 5.34047i | −1.80319 | + | 0.172184i | ||||
\(963\) | 0.699612 | + | 2.88384i | 0.0225447 | + | 0.0929304i | ||||
\(964\) | −15.9731 | + | 3.07856i | −0.514459 | + | 0.0991538i | ||||
\(965\) | 33.1317 | 1.06655 | ||||||||
\(966\) | −9.08576 | − | 7.85184i | −0.292329 | − | 0.252629i | ||||
\(967\) | −36.1065 | −1.16111 | −0.580554 | − | 0.814222i | \(-0.697164\pi\) | ||||
−0.580554 | + | 0.814222i | \(0.697164\pi\) | |||||||
\(968\) | 14.6051 | + | 8.45271i | 0.469425 | + | 0.271680i | ||||
\(969\) | −24.6888 | − | 42.7622i | −0.793118 | − | 1.37372i | ||||
\(970\) | 45.2122 | − | 4.31724i | 1.45168 | − | 0.138618i | ||||
\(971\) | −12.5800 | + | 21.7893i | −0.403713 | + | 0.699251i | −0.994171 | − | 0.107817i | \(-0.965614\pi\) |
0.590458 | + | 0.807069i | \(0.298947\pi\) | |||||||
\(972\) | 10.3366 | + | 11.9291i | 0.331547 | + | 0.382625i | ||||
\(973\) | −52.5157 | − | 2.43201i | −1.68358 | − | 0.0779668i | ||||
\(974\) | 9.55542 | − | 20.9235i | 0.306175 | − | 0.670431i | ||||
\(975\) | −11.8512 | − | 4.74450i | −0.379542 | − | 0.151946i | ||||
\(976\) | −27.8614 | − | 26.5658i | −0.891823 | − | 0.850352i | ||||
\(977\) | 20.6165 | + | 35.7088i | 0.659580 | + | 1.14243i | 0.980724 | + | 0.195396i | \(0.0625992\pi\) |
−0.321144 | + | 0.947030i | \(0.604067\pi\) | |||||||
\(978\) | −2.41561 | − | 6.97944i | −0.0772426 | − | 0.223178i | ||||
\(979\) | 3.25221 | + | 45.8099i | 0.103941 | + | 1.46409i | ||||
\(980\) | −20.3865 | − | 8.09900i | −0.651222 | − | 0.258713i | ||||
\(981\) | 14.4193 | + | 16.6408i | 0.460374 | + | 0.531300i | ||||
\(982\) | 44.8192 | − | 42.7350i | 1.43024 | − | 1.36373i | ||||
\(983\) | 1.86946 | + | 7.70602i | 0.0596265 | + | 0.245784i | 0.993823 | − | 0.110974i | \(-0.0353972\pi\) |
−0.934197 | + | 0.356758i | \(0.883882\pi\) | |||||||
\(984\) | −8.92730 | + | 3.57395i | −0.284592 | + | 0.113933i | ||||
\(985\) | 47.8911 | − | 24.6896i | 1.52594 | − | 0.786676i | ||||
\(986\) | −22.8784 | + | 50.0967i | −0.728596 | + | 1.59540i | ||||
\(987\) | 1.51991 | − | 1.59826i | 0.0483792 | − | 0.0508732i | ||||
\(988\) | −13.1249 | − | 28.7395i | −0.417558 | − | 0.914324i | ||||
\(989\) | −16.0581 | − | 6.42867i | −0.510616 | − | 0.204420i | ||||
\(990\) | −10.7937 | − | 22.2496i | −0.343048 | − | 0.707139i | ||||
\(991\) | 19.5742 | − | 7.83631i | 0.621793 | − | 0.248929i | −0.0393055 | − | 0.999227i | \(-0.512515\pi\) |
0.661099 | + | 0.750299i | \(0.270090\pi\) | |||||||
\(992\) | 6.21205 | − | 25.6064i | 0.197233 | − | 0.813004i | ||||
\(993\) | 9.12444 | + | 5.86392i | 0.289555 | + | 0.186086i | ||||
\(994\) | −0.0630409 | − | 47.6579i | −0.00199954 | − | 1.51162i | ||||
\(995\) | −20.1831 | −0.639849 | ||||||||
\(996\) | 4.53522 | + | 13.1037i | 0.143704 | + | 0.415205i | ||||
\(997\) | 15.5157 | + | 7.99892i | 0.491388 | + | 0.253328i | 0.686066 | − | 0.727539i | \(-0.259336\pi\) |
−0.194678 | + | 0.980867i | \(0.562366\pi\) | |||||||
\(998\) | −13.8493 | − | 2.66923i | −0.438392 | − | 0.0844931i | ||||
\(999\) | 14.3680 | + | 41.5136i | 0.454584 | + | 1.31343i |
(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 | 847.2.u.a.23.20 | ✓ | 1720 | |
7.4 | even | 3 | inner | 847.2.u.a.144.67 | yes | 1720 | |
121.100 | even | 11 | inner | 847.2.u.a.100.67 | yes | 1720 | |
847.221 | even | 33 | inner | 847.2.u.a.221.20 | yes | 1720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
847.2.u.a.23.20 | ✓ | 1720 | 1.1 | even | 1 | trivial | |
847.2.u.a.100.67 | yes | 1720 | 121.100 | even | 11 | inner | |
847.2.u.a.144.67 | yes | 1720 | 7.4 | even | 3 | inner | |
847.2.u.a.221.20 | yes | 1720 | 847.221 | even | 33 | inner |