Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 107.18 | ||
Character | \(\chi\) | \(=\) | 384.107 |
Dual form | 384.2.w.a.323.18 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.833368 | + | 1.14258i | −0.589280 | + | 0.807929i | ||||
\(3\) | 1.36501 | − | 1.06618i | 0.788088 | − | 0.615562i | ||||
\(4\) | −0.610995 | − | 1.90439i | −0.305498 | − | 0.952193i | ||||
\(5\) | 2.81896 | − | 0.855121i | 1.26068 | − | 0.382422i | 0.411926 | − | 0.911217i | \(-0.364856\pi\) |
0.848749 | + | 0.528795i | \(0.177356\pi\) | |||||||
\(6\) | 0.0806504 | + | 2.44816i | 0.0329254 | + | 0.999458i | ||||
\(7\) | 0.140767 | − | 0.707683i | 0.0532049 | − | 0.267479i | −0.945022 | − | 0.327008i | \(-0.893960\pi\) |
0.998227 | + | 0.0595286i | \(0.0189598\pi\) | |||||||
\(8\) | 2.68510 | + | 0.888941i | 0.949328 | + | 0.314288i | ||||
\(9\) | 0.726500 | − | 2.91070i | 0.242167 | − | 0.970235i | ||||
\(10\) | −1.37218 | + | 3.93353i | −0.433922 | + | 1.24389i | ||||
\(11\) | 0.0513415 | − | 0.521279i | 0.0154800 | − | 0.157171i | −0.984337 | − | 0.176297i | \(-0.943588\pi\) |
0.999817 | + | 0.0191254i | \(0.00608816\pi\) | |||||||
\(12\) | −2.86444 | − | 1.94807i | −0.826893 | − | 0.562359i | ||||
\(13\) | −3.43070 | − | 1.04069i | −0.951504 | − | 0.288636i | −0.223884 | − | 0.974616i | \(-0.571874\pi\) |
−0.727620 | + | 0.685980i | \(0.759374\pi\) | |||||||
\(14\) | 0.691276 | + | 0.750598i | 0.184751 | + | 0.200606i | ||||
\(15\) | 2.93618 | − | 4.17278i | 0.758120 | − | 1.07741i | ||||
\(16\) | −3.25337 | + | 2.32714i | −0.813342 | + | 0.581785i | ||||
\(17\) | −5.36318 | + | 2.22150i | −1.30076 | + | 0.538793i | −0.922175 | − | 0.386773i | \(-0.873590\pi\) |
−0.378586 | + | 0.925566i | \(0.623590\pi\) | |||||||
\(18\) | 2.72028 | + | 3.25577i | 0.641176 | + | 0.767393i | ||||
\(19\) | 5.34574 | − | 2.85736i | 1.22640 | − | 0.655523i | 0.274396 | − | 0.961617i | \(-0.411522\pi\) |
0.952001 | + | 0.306094i | \(0.0990221\pi\) | |||||||
\(20\) | −3.35085 | − | 4.84591i | −0.749273 | − | 1.08358i | ||||
\(21\) | −0.562372 | − | 1.11608i | −0.122720 | − | 0.243548i | ||||
\(22\) | 0.552818 | + | 0.493079i | 0.117861 | + | 0.105125i | ||||
\(23\) | 0.0781360 | − | 0.116939i | 0.0162925 | − | 0.0243834i | −0.823234 | − | 0.567702i | \(-0.807833\pi\) |
0.839526 | + | 0.543319i | \(0.182833\pi\) | |||||||
\(24\) | 4.61297 | − | 1.64940i | 0.941618 | − | 0.336683i | ||||
\(25\) | 3.05794 | − | 2.04325i | 0.611588 | − | 0.408650i | ||||
\(26\) | 4.04811 | − | 3.05258i | 0.793899 | − | 0.598660i | ||||
\(27\) | −2.11167 | − | 4.74772i | −0.406391 | − | 0.913699i | ||||
\(28\) | −1.43371 | + | 0.164316i | −0.270945 | + | 0.0310529i | ||||
\(29\) | 0.731056 | + | 7.42253i | 0.135754 | + | 1.37833i | 0.785821 | + | 0.618454i | \(0.212241\pi\) |
−0.650068 | + | 0.759876i | \(0.725259\pi\) | |||||||
\(30\) | 2.32083 | + | 6.83230i | 0.423723 | + | 1.24740i | ||||
\(31\) | 1.32524 | − | 1.32524i | 0.238020 | − | 0.238020i | −0.578010 | − | 0.816030i | \(-0.696170\pi\) |
0.816030 | + | 0.578010i | \(0.196170\pi\) | |||||||
\(32\) | 0.0523010 | − | 5.65661i | 0.00924560 | − | 0.999957i | ||||
\(33\) | −0.485698 | − | 0.766290i | −0.0845491 | − | 0.133394i | ||||
\(34\) | 1.93125 | − | 7.97921i | 0.331207 | − | 1.36842i | ||||
\(35\) | −0.208339 | − | 2.11530i | −0.0352157 | − | 0.357551i | ||||
\(36\) | −5.98699 | + | 0.394890i | −0.997832 | + | 0.0658151i | ||||
\(37\) | 5.74636 | + | 3.07149i | 0.944695 | + | 0.504950i | 0.870432 | − | 0.492288i | \(-0.163839\pi\) |
0.0742633 | + | 0.997239i | \(0.476339\pi\) | |||||||
\(38\) | −1.19020 | + | 8.48919i | −0.193076 | + | 1.37713i | ||||
\(39\) | −5.79250 | + | 2.23720i | −0.927542 | + | 0.358239i | ||||
\(40\) | 8.32935 | + | 0.209797i | 1.31699 | + | 0.0331719i | ||||
\(41\) | −0.746945 | + | 1.11788i | −0.116653 | + | 0.174584i | −0.885201 | − | 0.465208i | \(-0.845980\pi\) |
0.768548 | + | 0.639792i | \(0.220980\pi\) | |||||||
\(42\) | 1.74387 | + | 0.287545i | 0.269086 | + | 0.0443692i | ||||
\(43\) | 3.03909 | + | 3.70314i | 0.463457 | + | 0.564724i | 0.951323 | − | 0.308194i | \(-0.0997247\pi\) |
−0.487866 | + | 0.872918i | \(0.662225\pi\) | |||||||
\(44\) | −1.02408 | + | 0.220725i | −0.154387 | + | 0.0332755i | ||||
\(45\) | −0.441033 | − | 8.82640i | −0.0657454 | − | 1.31576i | ||||
\(46\) | 0.0684963 | + | 0.186730i | 0.0100992 | + | 0.0275318i | ||||
\(47\) | −2.21408 | + | 0.917100i | −0.322956 | + | 0.133773i | −0.538271 | − | 0.842772i | \(-0.680922\pi\) |
0.215315 | + | 0.976545i | \(0.430922\pi\) | |||||||
\(48\) | −1.95972 | + | 6.64526i | −0.282861 | + | 0.959161i | ||||
\(49\) | 5.98616 | + | 2.47955i | 0.855165 | + | 0.354221i | ||||
\(50\) | −0.213805 | + | 5.19673i | −0.0302366 | + | 0.734928i | ||||
\(51\) | −4.95225 | + | 8.75051i | −0.693454 | + | 1.22532i | ||||
\(52\) | 0.114263 | + | 7.16922i | 0.0158455 | + | 0.994193i | ||||
\(53\) | −0.658358 | + | 6.68442i | −0.0904324 | + | 0.918176i | 0.837751 | + | 0.546053i | \(0.183870\pi\) |
−0.928183 | + | 0.372123i | \(0.878630\pi\) | |||||||
\(54\) | 7.18447 | + | 1.54384i | 0.977682 | + | 0.210090i | ||||
\(55\) | −0.301027 | − | 1.51337i | −0.0405905 | − | 0.204062i | ||||
\(56\) | 1.00706 | − | 1.77507i | 0.134574 | − | 0.237203i | ||||
\(57\) | 4.25051 | − | 9.59987i | 0.562994 | − | 1.27153i | ||||
\(58\) | −9.09011 | − | 5.35041i | −1.19359 | − | 0.702543i | ||||
\(59\) | 11.6777 | − | 3.54240i | 1.52031 | − | 0.461181i | 0.583823 | − | 0.811881i | \(-0.301556\pi\) |
0.936488 | + | 0.350699i | \(0.114056\pi\) | |||||||
\(60\) | −9.74057 | − | 3.04208i | −1.25750 | − | 0.392731i | ||||
\(61\) | −7.37808 | + | 8.99021i | −0.944666 | + | 1.15108i | 0.0437095 | + | 0.999044i | \(0.486082\pi\) |
−0.988375 | + | 0.152034i | \(0.951418\pi\) | |||||||
\(62\) | 0.409785 | + | 2.61861i | 0.0520427 | + | 0.332564i | ||||
\(63\) | −1.95759 | − | 0.923862i | −0.246633 | − | 0.116396i | ||||
\(64\) | 6.41957 | + | 4.77380i | 0.802446 | + | 0.596725i | ||||
\(65\) | −10.5609 | −1.30992 | ||||||||
\(66\) | 1.28032 | + | 0.0836509i | 0.157596 | + | 0.0102967i | ||||
\(67\) | −8.46451 | − | 6.94664i | −1.03410 | − | 0.848668i | −0.0454637 | − | 0.998966i | \(-0.514477\pi\) |
−0.988641 | + | 0.150298i | \(0.951977\pi\) | |||||||
\(68\) | 7.50747 | + | 8.85623i | 0.910414 | + | 1.07398i | ||||
\(69\) | −0.0180220 | − | 0.242930i | −0.00216959 | − | 0.0292453i | ||||
\(70\) | 2.59053 | + | 1.52478i | 0.309628 | + | 0.182246i | ||||
\(71\) | −0.480370 | + | 2.41498i | −0.0570094 | + | 0.286606i | −0.998764 | − | 0.0496939i | \(-0.984175\pi\) |
0.941755 | + | 0.336299i | \(0.109175\pi\) | |||||||
\(72\) | 4.53817 | − | 7.16973i | 0.534829 | − | 0.844961i | ||||
\(73\) | 11.5716 | − | 2.30174i | 1.35436 | − | 0.269398i | 0.536052 | − | 0.844185i | \(-0.319915\pi\) |
0.818303 | + | 0.574787i | \(0.194915\pi\) | |||||||
\(74\) | −8.29827 | + | 4.00601i | −0.964654 | + | 0.465689i | ||||
\(75\) | 1.99563 | − | 6.04938i | 0.230436 | − | 0.698522i | ||||
\(76\) | −8.70774 | − | 8.43452i | −0.998846 | − | 0.967506i | ||||
\(77\) | −0.361673 | − | 0.109712i | −0.0412164 | − | 0.0125029i | ||||
\(78\) | 2.27109 | − | 8.48283i | 0.257150 | − | 0.960491i | ||||
\(79\) | 0.628034 | − | 1.51621i | 0.0706594 | − | 0.170587i | −0.884604 | − | 0.466342i | \(-0.845571\pi\) |
0.955264 | + | 0.295756i | \(0.0955714\pi\) | |||||||
\(80\) | −7.18112 | + | 9.34214i | −0.802874 | + | 1.04448i | ||||
\(81\) | −7.94440 | − | 4.22925i | −0.882711 | − | 0.469917i | ||||
\(82\) | −0.654794 | − | 1.78506i | −0.0723099 | − | 0.197126i | ||||
\(83\) | −0.238211 | + | 0.127326i | −0.0261471 | + | 0.0139759i | −0.484418 | − | 0.874836i | \(-0.660969\pi\) |
0.458271 | + | 0.888812i | \(0.348469\pi\) | |||||||
\(84\) | −1.78183 | + | 1.75289i | −0.194414 | + | 0.191256i | ||||
\(85\) | −13.2189 | + | 10.8485i | −1.43379 | + | 1.17668i | ||||
\(86\) | −6.76383 | + | 0.386335i | −0.729363 | + | 0.0416595i | ||||
\(87\) | 8.91169 | + | 9.35239i | 0.955434 | + | 1.00268i | ||||
\(88\) | 0.601243 | − | 1.35405i | 0.0640927 | − | 0.144342i | ||||
\(89\) | −10.2974 | + | 6.88049i | −1.09152 | + | 0.729331i | −0.964899 | − | 0.262620i | \(-0.915413\pi\) |
−0.126622 | + | 0.991951i | \(0.540413\pi\) | |||||||
\(90\) | 10.4524 | + | 6.85172i | 1.10178 | + | 0.722235i | ||||
\(91\) | −1.21941 | + | 2.28135i | −0.127829 | + | 0.239150i | ||||
\(92\) | −0.270437 | − | 0.0773520i | −0.0281950 | − | 0.00806450i | ||||
\(93\) | 0.396014 | − | 3.22191i | 0.0410647 | − | 0.334097i | ||||
\(94\) | 0.797277 | − | 3.29405i | 0.0822328 | − | 0.339755i | ||||
\(95\) | 12.6260 | − | 12.6260i | 1.29540 | − | 1.29540i | ||||
\(96\) | −5.95960 | − | 7.77709i | −0.608249 | − | 0.793746i | ||||
\(97\) | −12.0988 | − | 12.0988i | −1.22844 | − | 1.22844i | −0.964552 | − | 0.263893i | \(-0.914994\pi\) |
−0.263893 | − | 0.964552i | \(-0.585006\pi\) | |||||||
\(98\) | −7.82176 | + | 4.77331i | −0.790117 | + | 0.482177i | ||||
\(99\) | −1.47999 | − | 0.528149i | −0.148744 | − | 0.0530809i | ||||
\(100\) | −5.75952 | − | 4.57508i | −0.575952 | − | 0.457508i | ||||
\(101\) | −7.09943 | − | 3.79473i | −0.706420 | − | 0.377589i | 0.0787293 | − | 0.996896i | \(-0.474914\pi\) |
−0.785149 | + | 0.619307i | \(0.787414\pi\) | |||||||
\(102\) | −5.87113 | − | 12.9508i | −0.581329 | − | 1.28232i | ||||
\(103\) | 2.64048 | + | 3.95175i | 0.260174 | + | 0.389378i | 0.938442 | − | 0.345437i | \(-0.112269\pi\) |
−0.678268 | + | 0.734815i | \(0.737269\pi\) | |||||||
\(104\) | −8.28666 | − | 5.84405i | −0.812574 | − | 0.573056i | ||||
\(105\) | −2.53968 | − | 2.66528i | −0.247848 | − | 0.260104i | ||||
\(106\) | −7.08886 | − | 6.32281i | −0.688531 | − | 0.614126i | ||||
\(107\) | −9.02720 | − | 10.9997i | −0.872692 | − | 1.06338i | −0.997463 | − | 0.0711928i | \(-0.977319\pi\) |
0.124770 | − | 0.992186i | \(-0.460181\pi\) | |||||||
\(108\) | −7.75127 | + | 6.92227i | −0.745866 | + | 0.666096i | ||||
\(109\) | 2.77153 | + | 5.18517i | 0.265465 | + | 0.496649i | 0.978971 | − | 0.203999i | \(-0.0653940\pi\) |
−0.713506 | + | 0.700649i | \(0.752894\pi\) | |||||||
\(110\) | 1.98001 | + | 0.917242i | 0.188787 | + | 0.0874556i | ||||
\(111\) | 11.1186 | − | 1.93406i | 1.05533 | − | 0.183573i | ||||
\(112\) | 1.18891 | + | 2.62994i | 0.112342 | + | 0.248506i | ||||
\(113\) | −8.90796 | − | 3.68980i | −0.837990 | − | 0.347107i | −0.0779293 | − | 0.996959i | \(-0.524831\pi\) |
−0.760061 | + | 0.649852i | \(0.774831\pi\) | |||||||
\(114\) | 7.42641 | + | 12.8568i | 0.695547 | + | 1.20415i | ||||
\(115\) | 0.120265 | − | 0.396461i | 0.0112148 | − | 0.0369702i | ||||
\(116\) | 13.6887 | − | 5.92735i | 1.27096 | − | 0.550340i | ||||
\(117\) | −5.52154 | + | 9.22968i | −0.510467 | + | 0.853284i | ||||
\(118\) | −5.68436 | + | 16.2949i | −0.523288 | + | 1.50007i | ||||
\(119\) | 0.817160 | + | 4.10814i | 0.0749089 | + | 0.376593i | ||||
\(120\) | 11.5933 | − | 8.59425i | 1.05832 | − | 0.784544i | ||||
\(121\) | 10.5195 | + | 2.09247i | 0.956322 | + | 0.190224i | ||||
\(122\) | −4.12342 | − | 15.9222i | −0.373317 | − | 1.44153i | ||||
\(123\) | 0.172282 | + | 2.32230i | 0.0155342 | + | 0.209395i | ||||
\(124\) | −3.33348 | − | 1.71405i | −0.299355 | − | 0.153926i | ||||
\(125\) | −2.47101 | + | 3.01094i | −0.221014 | + | 0.269307i | ||||
\(126\) | 2.68698 | − | 1.46679i | 0.239375 | − | 0.130672i | ||||
\(127\) | 17.9051i | 1.58882i | 0.607384 | + | 0.794409i | \(0.292219\pi\) | ||||
−0.607384 | + | 0.794409i | \(0.707781\pi\) | |||||||
\(128\) | −10.8043 | + | 3.35656i | −0.954977 | + | 0.296681i | ||||
\(129\) | 8.09662 | + | 1.81459i | 0.712868 | + | 0.159766i | ||||
\(130\) | 8.80112 | − | 12.0667i | 0.771909 | − | 1.05832i | ||||
\(131\) | 0.711423 | + | 0.583850i | 0.0621574 | + | 0.0510112i | 0.664959 | − | 0.746880i | \(-0.268449\pi\) |
−0.602802 | + | 0.797891i | \(0.705949\pi\) | |||||||
\(132\) | −1.16255 | + | 1.39316i | −0.101187 | + | 0.121259i | ||||
\(133\) | −1.26960 | − | 4.18531i | −0.110088 | − | 0.362912i | ||||
\(134\) | 14.9912 | − | 3.88230i | 1.29504 | − | 0.335380i | ||||
\(135\) | −10.0126 | − | 11.5779i | −0.861746 | − | 0.996466i | ||||
\(136\) | −16.3755 | + | 1.19741i | −1.40418 | + | 0.102677i | ||||
\(137\) | 21.3920 | − | 4.25513i | 1.82764 | − | 0.363540i | 0.842969 | − | 0.537962i | \(-0.180806\pi\) |
0.984671 | + | 0.174422i | \(0.0558056\pi\) | |||||||
\(138\) | 0.292587 | + | 0.181858i | 0.0249066 | + | 0.0154808i | ||||
\(139\) | −10.0764 | − | 0.992435i | −0.854666 | − | 0.0841773i | −0.338812 | − | 0.940854i | \(-0.610025\pi\) |
−0.515854 | + | 0.856677i | \(0.672525\pi\) | |||||||
\(140\) | −3.90105 | + | 1.68920i | −0.329699 | + | 0.142763i | ||||
\(141\) | −2.04444 | + | 3.61247i | −0.172173 | + | 0.304224i | ||||
\(142\) | −2.35899 | − | 2.56143i | −0.197962 | − | 0.214951i | ||||
\(143\) | −0.718626 | + | 1.73492i | −0.0600946 | + | 0.145081i | ||||
\(144\) | 4.41005 | + | 11.1603i | 0.367504 | + | 0.930022i | ||||
\(145\) | 8.40798 | + | 20.2987i | 0.698245 | + | 1.68571i | ||||
\(146\) | −7.01349 | + | 15.1397i | −0.580441 | + | 1.25297i | ||||
\(147\) | 10.8148 | − | 2.99775i | 0.891991 | − | 0.247250i | ||||
\(148\) | 2.33831 | − | 12.8199i | 0.192208 | − | 1.05379i | ||||
\(149\) | −13.1621 | + | 10.8018i | −1.07828 | + | 0.884921i | −0.993764 | − | 0.111501i | \(-0.964434\pi\) |
−0.0845148 | + | 0.996422i | \(0.526934\pi\) | |||||||
\(150\) | 5.24883 | + | 7.32154i | 0.428565 | + | 0.597801i | ||||
\(151\) | 16.7116 | + | 11.1663i | 1.35997 | + | 0.908702i | 0.999708 | − | 0.0241497i | \(-0.00768785\pi\) |
0.360260 | + | 0.932852i | \(0.382688\pi\) | |||||||
\(152\) | 16.8939 | − | 2.92026i | 1.37028 | − | 0.236864i | ||||
\(153\) | 2.56978 | + | 17.2245i | 0.207755 | + | 1.39252i | ||||
\(154\) | 0.426762 | − | 0.321811i | 0.0343894 | − | 0.0259322i | ||||
\(155\) | 2.60255 | − | 4.86903i | 0.209042 | − | 0.391090i | ||||
\(156\) | 7.79969 | + | 9.66423i | 0.624475 | + | 0.773758i | ||||
\(157\) | −11.6799 | + | 1.15037i | −0.932157 | + | 0.0918094i | −0.552681 | − | 0.833393i | \(-0.686395\pi\) |
−0.379475 | + | 0.925202i | \(0.623895\pi\) | |||||||
\(158\) | 1.20901 | + | 1.98114i | 0.0961838 | + | 0.157611i | ||||
\(159\) | 6.22816 | + | 9.82623i | 0.493925 | + | 0.779270i | ||||
\(160\) | −4.68966 | − | 15.9905i | −0.370750 | − | 1.26416i | ||||
\(161\) | −0.0717566 | − | 0.0717566i | −0.00565521 | − | 0.00565521i | ||||
\(162\) | 11.4529 | − | 5.55261i | 0.899823 | − | 0.436255i | ||||
\(163\) | −14.3876 | + | 1.41705i | −1.12692 | + | 0.110992i | −0.644254 | − | 0.764812i | \(-0.722832\pi\) |
−0.482667 | + | 0.875804i | \(0.660332\pi\) | |||||||
\(164\) | 2.58526 | + | 0.739451i | 0.201875 | + | 0.0577414i | ||||
\(165\) | −2.02443 | − | 1.74481i | −0.157602 | − | 0.135833i | ||||
\(166\) | 0.0530364 | − | 0.378286i | 0.00411642 | − | 0.0293607i | ||||
\(167\) | 8.63319 | + | 12.9205i | 0.668056 | + | 0.999816i | 0.998433 | + | 0.0559673i | \(0.0178242\pi\) |
−0.330377 | + | 0.943849i | \(0.607176\pi\) | |||||||
\(168\) | −0.517902 | − | 3.49670i | −0.0399570 | − | 0.269776i | ||||
\(169\) | −0.122469 | − | 0.0818309i | −0.00942066 | − | 0.00629468i | ||||
\(170\) | −1.37908 | − | 24.1445i | −0.105770 | − | 1.85180i | ||||
\(171\) | −4.43325 | − | 17.6357i | −0.339019 | − | 1.34864i | ||||
\(172\) | 5.19534 | − | 8.05020i | 0.396141 | − | 0.613822i | ||||
\(173\) | −1.33268 | − | 2.49327i | −0.101322 | − | 0.189560i | 0.826153 | − | 0.563446i | \(-0.190525\pi\) |
−0.927474 | + | 0.373887i | \(0.878025\pi\) | |||||||
\(174\) | −18.1126 | + | 2.38837i | −1.37311 | + | 0.181062i | ||||
\(175\) | −1.01552 | − | 2.45167i | −0.0767658 | − | 0.185329i | ||||
\(176\) | 1.04606 | + | 1.81539i | 0.0788494 | + | 0.136840i | ||||
\(177\) | 12.1634 | − | 17.2860i | 0.914254 | − | 1.29930i | ||||
\(178\) | 0.719973 | − | 17.4996i | 0.0539643 | − | 1.31165i | ||||
\(179\) | 2.34359 | − | 7.72580i | 0.175169 | − | 0.577453i | −0.824760 | − | 0.565483i | \(-0.808690\pi\) |
0.999928 | − | 0.0119700i | \(-0.00381027\pi\) | |||||||
\(180\) | −16.5394 | + | 6.23278i | −1.23277 | + | 0.464564i | ||||
\(181\) | −6.33147 | − | 0.623596i | −0.470615 | − | 0.0463515i | −0.140070 | − | 0.990142i | \(-0.544733\pi\) |
−0.330545 | + | 0.943790i | \(0.607233\pi\) | |||||||
\(182\) | −1.59042 | − | 3.29448i | −0.117890 | − | 0.244203i | ||||
\(183\) | −0.485914 | + | 20.1381i | −0.0359198 | + | 1.48865i | ||||
\(184\) | 0.313755 | − | 0.244534i | 0.0231303 | − | 0.0180273i | ||||
\(185\) | 18.8252 | + | 3.74457i | 1.38406 | + | 0.275306i | ||||
\(186\) | 3.35128 | + | 3.13752i | 0.245728 | + | 0.230054i | ||||
\(187\) | 0.882667 | + | 2.90976i | 0.0645470 | + | 0.212783i | ||||
\(188\) | 3.09930 | + | 3.65611i | 0.226040 | + | 0.266649i | ||||
\(189\) | −3.65713 | + | 0.826070i | −0.266017 | + | 0.0600878i | ||||
\(190\) | 3.90417 | + | 24.9484i | 0.283238 | + | 1.80995i | ||||
\(191\) | − | 21.3495i | − | 1.54480i | −0.635138 | − | 0.772399i | \(-0.719057\pi\) | ||
0.635138 | − | 0.772399i | \(-0.280943\pi\) | |||||||
\(192\) | 13.8525 | − | 0.328167i | 0.999720 | − | 0.0236834i | ||||
\(193\) | − | 2.73664i | − | 0.196988i | −0.995138 | − | 0.0984940i | \(-0.968597\pi\) | ||
0.995138 | − | 0.0984940i | \(-0.0314025\pi\) | |||||||
\(194\) | 23.9066 | − | 3.74113i | 1.71639 | − | 0.268598i | ||||
\(195\) | −14.4157 | + | 11.2599i | −1.03233 | + | 0.806336i | ||||
\(196\) | 1.06450 | − | 12.9149i | 0.0760358 | − | 0.922496i | ||||
\(197\) | 1.38218 | + | 4.55643i | 0.0984762 | + | 0.324632i | 0.992312 | − | 0.123762i | \(-0.0394960\pi\) |
−0.893836 | + | 0.448395i | \(0.851996\pi\) | |||||||
\(198\) | 1.83683 | − | 1.25087i | 0.130538 | − | 0.0888953i | ||||
\(199\) | 13.5554 | + | 2.69633i | 0.960916 | + | 0.191138i | 0.650537 | − | 0.759475i | \(-0.274544\pi\) |
0.310379 | + | 0.950613i | \(0.399544\pi\) | |||||||
\(200\) | 10.0272 | − | 2.76801i | 0.709031 | − | 0.195728i | ||||
\(201\) | −18.9605 | − | 0.457500i | −1.33737 | − | 0.0322696i | ||||
\(202\) | 10.2522 | − | 4.94929i | 0.721344 | − | 0.348231i | ||||
\(203\) | 5.35571 | + | 0.527491i | 0.375897 | + | 0.0370226i | ||||
\(204\) | 19.6901 | + | 4.08449i | 1.37859 | + | 0.285971i | ||||
\(205\) | −1.14968 | + | 3.78999i | −0.0802972 | + | 0.264705i | ||||
\(206\) | −6.71570 | − | 0.276299i | −0.467905 | − | 0.0192507i | ||||
\(207\) | −0.283608 | − | 0.312387i | −0.0197121 | − | 0.0217124i | ||||
\(208\) | 13.5832 | − | 4.59796i | 0.941822 | − | 0.318811i | ||||
\(209\) | −1.21502 | − | 2.93332i | −0.0840448 | − | 0.202902i | ||||
\(210\) | 5.16179 | − | 0.680647i | 0.356198 | − | 0.0469691i | ||||
\(211\) | 10.7779 | + | 20.1641i | 0.741984 | + | 1.38816i | 0.915089 | + | 0.403252i | \(0.132120\pi\) |
−0.173105 | + | 0.984903i | \(0.555380\pi\) | |||||||
\(212\) | 13.1320 | − | 2.83038i | 0.901907 | − | 0.194391i | ||||
\(213\) | 1.91911 | + | 3.80864i | 0.131495 | + | 0.260963i | ||||
\(214\) | 20.0910 | − | 1.14755i | 1.37339 | − | 0.0784451i | ||||
\(215\) | 11.7337 | + | 7.84021i | 0.800232 | + | 0.534698i | ||||
\(216\) | −1.44961 | − | 14.6253i | −0.0986334 | − | 0.995124i | ||||
\(217\) | −0.751299 | − | 1.12440i | −0.0510015 | − | 0.0763291i | ||||
\(218\) | −8.23420 | − | 1.15445i | −0.557690 | − | 0.0781892i | ||||
\(219\) | 13.3413 | − | 15.4794i | 0.901521 | − | 1.04600i | ||||
\(220\) | −2.69810 | + | 1.49793i | −0.181906 | + | 0.100990i | ||||
\(221\) | 20.7113 | − | 2.03989i | 1.39319 | − | 0.137218i | ||||
\(222\) | −7.05606 | + | 14.3157i | −0.473572 | + | 0.960809i | ||||
\(223\) | −6.52320 | − | 6.52320i | −0.436826 | − | 0.436826i | 0.454116 | − | 0.890942i | \(-0.349955\pi\) |
−0.890942 | + | 0.454116i | \(0.849955\pi\) | |||||||
\(224\) | −3.99572 | − | 0.833276i | −0.266976 | − | 0.0556756i | ||||
\(225\) | −3.72570 | − | 10.3852i | −0.248380 | − | 0.692345i | ||||
\(226\) | 11.6395 | − | 7.10313i | 0.774249 | − | 0.472493i | ||||
\(227\) | −7.78629 | + | 0.766883i | −0.516794 | + | 0.0508998i | −0.353053 | − | 0.935603i | \(-0.614856\pi\) |
−0.163742 | + | 0.986503i | \(0.552356\pi\) | |||||||
\(228\) | −20.8789 | − | 2.22914i | −1.38274 | − | 0.147629i | ||||
\(229\) | 11.8836 | − | 22.2326i | 0.785289 | − | 1.46917i | −0.0953803 | − | 0.995441i | \(-0.530407\pi\) |
0.880669 | − | 0.473732i | \(-0.157093\pi\) | |||||||
\(230\) | 0.352765 | + | 0.467811i | 0.0232606 | + | 0.0308465i | ||||
\(231\) | −0.610660 | + | 0.235852i | −0.0401785 | + | 0.0155179i | ||||
\(232\) | −4.63523 | + | 20.5801i | −0.304318 | + | 1.35115i | ||||
\(233\) | 5.33556 | + | 3.56511i | 0.349544 | + | 0.233558i | 0.717930 | − | 0.696115i | \(-0.245090\pi\) |
−0.368386 | + | 0.929673i | \(0.620090\pi\) | |||||||
\(234\) | −5.94420 | − | 14.0005i | −0.388585 | − | 0.915244i | ||||
\(235\) | −5.45715 | + | 4.47857i | −0.355985 | + | 0.292150i | ||||
\(236\) | −13.8811 | − | 20.0745i | −0.903585 | − | 1.30674i | ||||
\(237\) | −0.759286 | − | 2.73924i | −0.0493209 | − | 0.177933i | ||||
\(238\) | −5.37489 | − | 2.48992i | −0.348402 | − | 0.161397i | ||||
\(239\) | −7.63298 | − | 18.4276i | −0.493736 | − | 1.19198i | −0.952805 | − | 0.303584i | \(-0.901817\pi\) |
0.459069 | − | 0.888401i | \(-0.348183\pi\) | |||||||
\(240\) | 0.158148 | + | 20.4085i | 0.0102084 | + | 1.31736i | ||||
\(241\) | 2.11078 | − | 5.09587i | 0.135967 | − | 0.328254i | −0.841201 | − | 0.540723i | \(-0.818151\pi\) |
0.977168 | + | 0.212469i | \(0.0681506\pi\) | |||||||
\(242\) | −11.1575 | + | 10.2757i | −0.717229 | + | 0.660545i | ||||
\(243\) | −15.3533 | + | 2.69723i | −0.984917 | + | 0.173027i | ||||
\(244\) | 21.6288 | + | 8.55773i | 1.38464 | + | 0.547852i | ||||
\(245\) | 18.9950 | + | 1.87085i | 1.21355 | + | 0.119524i | ||||
\(246\) | −2.79700 | − | 1.73849i | −0.178330 | − | 0.110842i | ||||
\(247\) | −21.3132 | + | 4.23947i | −1.35613 | + | 0.269751i | ||||
\(248\) | 4.73646 | − | 2.38035i | 0.300766 | − | 0.151152i | ||||
\(249\) | −0.189407 | + | 0.427779i | −0.0120032 | + | 0.0271094i | ||||
\(250\) | −1.38099 | − | 5.33256i | −0.0873413 | − | 0.337261i | ||||
\(251\) | 4.12980 | + | 13.6141i | 0.260670 | + | 0.859315i | 0.985396 | + | 0.170278i | \(0.0544665\pi\) |
−0.724726 | + | 0.689037i | \(0.758034\pi\) | |||||||
\(252\) | −0.563313 | + | 4.29248i | −0.0354854 | + | 0.270401i | ||||
\(253\) | −0.0569460 | − | 0.0467344i | −0.00358017 | − | 0.00293817i | ||||
\(254\) | −20.4580 | − | 14.9215i | −1.28365 | − | 0.936259i | ||||
\(255\) | −6.47745 | + | 28.9021i | −0.405634 | + | 1.80992i | ||||
\(256\) | 5.16883 | − | 15.1421i | 0.323052 | − | 0.946381i | ||||
\(257\) | 4.42648i | 0.276116i | 0.990424 | + | 0.138058i | \(0.0440861\pi\) | ||||
−0.990424 | + | 0.138058i | \(0.955914\pi\) | |||||||
\(258\) | −8.82079 | + | 7.73884i | −0.549158 | + | 0.481799i | ||||
\(259\) | 2.98254 | − | 3.63423i | 0.185326 | − | 0.225820i | ||||
\(260\) | 6.45266 | + | 20.1120i | 0.400177 | + | 1.24729i | ||||
\(261\) | 22.1359 | + | 3.26458i | 1.37018 | + | 0.202073i | ||||
\(262\) | −1.25998 | + | 0.326299i | −0.0778415 | + | 0.0201588i | ||||
\(263\) | −11.9965 | − | 2.38625i | −0.739735 | − | 0.147142i | −0.189181 | − | 0.981942i | \(-0.560583\pi\) |
−0.550554 | + | 0.834800i | \(0.685583\pi\) | |||||||
\(264\) | −0.622963 | − | 2.48932i | −0.0383407 | − | 0.153207i | ||||
\(265\) | 3.86011 | + | 19.4061i | 0.237125 | + | 1.19211i | ||||
\(266\) | 5.84011 | + | 2.03728i | 0.358080 | + | 0.124914i | ||||
\(267\) | −6.72015 | + | 20.3709i | −0.411266 | + | 1.24668i | ||||
\(268\) | −8.05731 | + | 20.3641i | −0.492179 | + | 1.24393i | ||||
\(269\) | 7.13334 | − | 23.5155i | 0.434927 | − | 1.43376i | −0.416426 | − | 0.909170i | \(-0.636717\pi\) |
0.851353 | − | 0.524593i | \(-0.175783\pi\) | |||||||
\(270\) | 21.5729 | − | 1.79157i | 1.31288 | − | 0.109032i | ||||
\(271\) | −19.2405 | − | 7.96967i | −1.16878 | − | 0.484123i | −0.287988 | − | 0.957634i | \(-0.592986\pi\) |
−0.880788 | + | 0.473511i | \(0.842986\pi\) | |||||||
\(272\) | 12.2787 | − | 19.7082i | 0.744503 | − | 1.19499i | ||||
\(273\) | 0.767839 | + | 4.41417i | 0.0464717 | + | 0.267158i | ||||
\(274\) | −12.9656 | + | 27.9882i | −0.783278 | + | 1.69083i | ||||
\(275\) | −0.908103 | − | 1.69894i | −0.0547607 | − | 0.102450i | ||||
\(276\) | −0.451621 | + | 0.182750i | −0.0271844 | + | 0.0110002i | ||||
\(277\) | −8.97244 | − | 10.9329i | −0.539101 | − | 0.656897i | 0.430211 | − | 0.902728i | \(-0.358439\pi\) |
−0.969313 | + | 0.245831i | \(0.920939\pi\) | |||||||
\(278\) | 9.53126 | − | 10.6860i | 0.571647 | − | 0.640905i | ||||
\(279\) | −2.89459 | − | 4.82017i | −0.173295 | − | 0.288576i | ||||
\(280\) | 1.32097 | − | 5.86500i | 0.0789428 | − | 0.350501i | ||||
\(281\) | −3.67860 | − | 5.50542i | −0.219447 | − | 0.328426i | 0.705369 | − | 0.708840i | \(-0.250781\pi\) |
−0.924816 | + | 0.380415i | \(0.875781\pi\) | |||||||
\(282\) | −2.42378 | − | 5.34645i | −0.144334 | − | 0.318377i | ||||
\(283\) | −22.7986 | − | 12.1861i | −1.35524 | − | 0.724389i | −0.375907 | − | 0.926657i | \(-0.622669\pi\) |
−0.979330 | + | 0.202268i | \(0.935169\pi\) | |||||||
\(284\) | 4.89256 | − | 0.560733i | 0.290320 | − | 0.0332734i | ||||
\(285\) | 3.77296 | − | 30.6963i | 0.223491 | − | 1.81829i | ||||
\(286\) | −1.38341 | − | 2.26692i | −0.0818027 | − | 0.134046i | ||||
\(287\) | 0.685961 | + | 0.685961i | 0.0404910 | + | 0.0404910i | ||||
\(288\) | −16.4267 | − | 4.26176i | −0.967954 | − | 0.251127i | ||||
\(289\) | 11.8078 | − | 11.8078i | 0.694575 | − | 0.694575i | ||||
\(290\) | −30.1999 | − | 7.30944i | −1.77340 | − | 0.429225i | ||||
\(291\) | −29.4145 | − | 3.61541i | −1.72431 | − | 0.211939i | ||||
\(292\) | −11.4536 | − | 20.6305i | −0.670271 | − | 1.20731i | ||||
\(293\) | −14.5536 | + | 27.2278i | −0.850229 | + | 1.59067i | −0.0440245 | + | 0.999030i | \(0.514018\pi\) |
−0.806205 | + | 0.591637i | \(0.798482\pi\) | |||||||
\(294\) | −5.58755 | + | 14.8551i | −0.325872 | + | 0.866365i | ||||
\(295\) | 29.8898 | − | 19.9718i | 1.74025 | − | 1.16280i | ||||
\(296\) | 12.6992 | + | 13.3555i | 0.738126 | + | 0.776270i | ||||
\(297\) | −2.58330 | + | 0.857013i | −0.149898 | + | 0.0497290i | ||||
\(298\) | −1.37315 | − | 24.0407i | −0.0795443 | − | 1.39264i | ||||
\(299\) | −0.389758 | + | 0.319866i | −0.0225403 | + | 0.0184983i | ||||
\(300\) | −12.7397 | − | 0.104311i | −0.735526 | − | 0.00602241i | ||||
\(301\) | 3.04845 | − | 1.62943i | 0.175710 | − | 0.0939189i | ||||
\(302\) | −26.6853 | + | 9.78872i | −1.53557 | + | 0.563278i | ||||
\(303\) | −13.7367 | + | 2.38947i | −0.789151 | + | 0.137272i | ||||
\(304\) | −10.7422 | + | 21.7363i | −0.616107 | + | 1.24666i | ||||
\(305\) | −13.1108 | + | 31.6522i | −0.750720 | + | 1.81240i | ||||
\(306\) | −21.8221 | − | 11.4182i | −1.24748 | − | 0.652734i | ||||
\(307\) | 4.90418 | + | 1.48767i | 0.279896 | + | 0.0849056i | 0.427112 | − | 0.904199i | \(-0.359531\pi\) |
−0.147216 | + | 0.989104i | \(0.547031\pi\) | |||||||
\(308\) | 0.0120459 | + | 0.755798i | 0.000686380 | + | 0.0430656i | ||||
\(309\) | 7.81757 | + | 2.57894i | 0.444726 | + | 0.146711i | ||||
\(310\) | 3.39439 | + | 7.03133i | 0.192789 | + | 0.399353i | ||||
\(311\) | −9.59006 | + | 1.90758i | −0.543803 | + | 0.108169i | −0.459345 | − | 0.888258i | \(-0.651916\pi\) |
−0.0844578 | + | 0.996427i | \(0.526916\pi\) | |||||||
\(312\) | −17.5422 | + | 0.857936i | −0.993132 | + | 0.0485710i | ||||
\(313\) | 1.24937 | − | 6.28103i | 0.0706188 | − | 0.355025i | −0.929278 | − | 0.369381i | \(-0.879570\pi\) |
0.999897 | + | 0.0143560i | \(0.00456983\pi\) | |||||||
\(314\) | 8.41925 | − | 14.3039i | 0.475126 | − | 0.807217i | ||||
\(315\) | −6.30837 | − | 0.930352i | −0.355436 | − | 0.0524194i | ||||
\(316\) | −3.27117 | − | 0.269623i | −0.184018 | − | 0.0151675i | ||||
\(317\) | 0.773290 | + | 0.634622i | 0.0434323 | + | 0.0356439i | 0.655859 | − | 0.754883i | \(-0.272307\pi\) |
−0.612427 | + | 0.790527i | \(0.709807\pi\) | |||||||
\(318\) | −16.4176 | − | 1.07267i | −0.920656 | − | 0.0601521i | ||||
\(319\) | 3.90674 | 0.218736 | ||||||||
\(320\) | 22.1787 | + | 7.96762i | 1.23982 | + | 0.445404i | ||||
\(321\) | −24.0499 | − | 5.38999i | −1.34233 | − | 0.300840i | ||||
\(322\) | 0.141787 | − | 0.0221882i | 0.00790151 | − | 0.00123650i | ||||
\(323\) | −22.3225 | + | 27.2001i | −1.24206 | + | 1.51345i | ||||
\(324\) | −3.20014 | + | 17.7132i | −0.177785 | + | 0.984069i | ||||
\(325\) | −12.6172 | + | 3.82740i | −0.699879 | + | 0.212306i | ||||
\(326\) | 10.3710 | − | 17.6199i | 0.574398 | − | 0.975877i | ||||
\(327\) | 9.31152 | + | 4.12284i | 0.514928 | + | 0.227994i | ||||
\(328\) | −2.99936 | + | 2.33764i | −0.165612 | + | 0.129075i | ||||
\(329\) | 0.337348 | + | 1.69596i | 0.0185986 | + | 0.0935013i | ||||
\(330\) | 3.68068 | − | 0.859016i | 0.202615 | − | 0.0472873i | ||||
\(331\) | −2.04107 | + | 20.7234i | −0.112187 | + | 1.13906i | 0.760012 | + | 0.649909i | \(0.225193\pi\) |
−0.872200 | + | 0.489150i | \(0.837307\pi\) | |||||||
\(332\) | 0.388025 | + | 0.375850i | 0.0212956 | + | 0.0206274i | ||||
\(333\) | 13.1149 | − | 14.4945i | 0.718694 | − | 0.794294i | ||||
\(334\) | −21.9573 | − | 0.903375i | −1.20145 | − | 0.0494305i | ||||
\(335\) | −29.8013 | − | 12.3441i | −1.62822 | − | 0.674431i | ||||
\(336\) | 4.42687 | + | 2.32229i | 0.241506 | + | 0.126691i | ||||
\(337\) | 12.2094 | − | 5.05731i | 0.665089 | − | 0.275489i | −0.0244890 | − | 0.999700i | \(-0.507796\pi\) |
0.689578 | + | 0.724211i | \(0.257796\pi\) | |||||||
\(338\) | 0.195560 | − | 0.0717353i | 0.0106371 | − | 0.00390189i | ||||
\(339\) | −16.0934 | + | 4.46092i | −0.874076 | + | 0.242284i | ||||
\(340\) | 28.7364 | + | 18.5455i | 1.55845 | + | 1.00577i | ||||
\(341\) | −0.622779 | − | 0.758859i | −0.0337254 | − | 0.0410945i | ||||
\(342\) | 23.8448 | + | 9.63171i | 1.28938 | + | 0.520823i | ||||
\(343\) | 5.40347 | − | 8.08687i | 0.291760 | − | 0.436650i | ||||
\(344\) | 4.86840 | + | 12.6449i | 0.262486 | + | 0.681767i | ||||
\(345\) | −0.258538 | − | 0.669398i | −0.0139192 | − | 0.0360392i | ||||
\(346\) | 3.95938 | + | 0.555112i | 0.212858 | + | 0.0298430i | ||||
\(347\) | −10.6376 | − | 5.68590i | −0.571055 | − | 0.305235i | 0.160480 | − | 0.987039i | \(-0.448696\pi\) |
−0.731535 | + | 0.681804i | \(0.761196\pi\) | |||||||
\(348\) | 12.3656 | − | 22.6856i | 0.662863 | − | 1.21607i | ||||
\(349\) | −1.52696 | − | 15.5035i | −0.0817365 | − | 0.829885i | −0.945421 | − | 0.325852i | \(-0.894349\pi\) |
0.863684 | − | 0.504033i | \(-0.168151\pi\) | |||||||
\(350\) | 3.64754 | + | 0.882833i | 0.194969 | + | 0.0471894i | ||||
\(351\) | 2.30359 | + | 18.4856i | 0.122957 | + | 0.986687i | ||||
\(352\) | −2.94599 | − | 0.317682i | −0.157022 | − | 0.0169325i | ||||
\(353\) | 12.7698 | − | 12.7698i | 0.679667 | − | 0.679667i | −0.280258 | − | 0.959925i | \(-0.590420\pi\) |
0.959925 | + | 0.280258i | \(0.0904200\pi\) | |||||||
\(354\) | 9.61419 | + | 28.3033i | 0.510988 | + | 1.50430i | ||||
\(355\) | 0.710961 | + | 7.21850i | 0.0377339 | + | 0.383118i | ||||
\(356\) | 19.3948 | + | 15.4062i | 1.02792 | + | 0.816529i | ||||
\(357\) | 5.49547 | + | 4.73641i | 0.290851 | + | 0.250677i | ||||
\(358\) | 6.87429 | + | 9.11619i | 0.363318 | + | 0.481805i | ||||
\(359\) | 23.2182 | − | 15.5139i | 1.22541 | − | 0.818792i | 0.237134 | − | 0.971477i | \(-0.423792\pi\) |
0.988275 | + | 0.152685i | \(0.0487919\pi\) | |||||||
\(360\) | 6.66193 | − | 24.0918i | 0.351114 | − | 1.26975i | ||||
\(361\) | 9.85663 | − | 14.7515i | 0.518770 | − | 0.776394i | ||||
\(362\) | 5.98896 | − | 6.71456i | 0.314773 | − | 0.352909i | ||||
\(363\) | 16.5902 | − | 8.35954i | 0.870761 | − | 0.438762i | ||||
\(364\) | 5.08962 | + | 0.928327i | 0.266769 | + | 0.0486575i | ||||
\(365\) | 30.6516 | − | 16.3836i | 1.60438 | − | 0.857559i | ||||
\(366\) | −22.6045 | − | 17.3377i | −1.18156 | − | 0.906254i | ||||
\(367\) | 8.29858 | − | 3.43738i | 0.433182 | − | 0.179430i | −0.155427 | − | 0.987847i | \(-0.549675\pi\) |
0.588610 | + | 0.808417i | \(0.299675\pi\) | |||||||
\(368\) | 0.0179277 | + | 0.562278i | 0.000934549 | + | 0.0293108i | ||||
\(369\) | 2.71117 | + | 2.98628i | 0.141138 | + | 0.155459i | ||||
\(370\) | −19.9668 | + | 18.3888i | −1.03803 | + | 0.955988i | ||||
\(371\) | 4.63777 | + | 1.40685i | 0.240781 | + | 0.0730402i | ||||
\(372\) | −6.37773 | + | 1.21441i | −0.330670 | + | 0.0629643i | ||||
\(373\) | 0.226683 | − | 2.30155i | 0.0117372 | − | 0.119170i | −0.987531 | − | 0.157426i | \(-0.949680\pi\) |
0.999268 | + | 0.0382564i | \(0.0121804\pi\) | |||||||
\(374\) | −4.06024 | − | 1.41638i | −0.209950 | − | 0.0732394i | ||||
\(375\) | −0.162739 | + | 6.74452i | −0.00840380 | + | 0.348285i | ||||
\(376\) | −6.76027 | + | 0.494327i | −0.348634 | + | 0.0254930i | ||||
\(377\) | 5.21653 | − | 26.2253i | 0.268665 | − | 1.35067i | ||||
\(378\) | 2.10388 | − | 4.86700i | 0.108212 | − | 0.250331i | ||||
\(379\) | 36.2657 | − | 11.0011i | 1.86285 | − | 0.565088i | 0.864835 | − | 0.502057i | \(-0.167423\pi\) |
0.998012 | − | 0.0630313i | \(-0.0200768\pi\) | |||||||
\(380\) | −31.7593 | − | 16.3304i | −1.62922 | − | 0.837731i | ||||
\(381\) | 19.0901 | + | 24.4406i | 0.978016 | + | 1.25213i | ||||
\(382\) | 24.3936 | + | 17.7920i | 1.24809 | + | 0.910319i | ||||
\(383\) | −34.7953 | −1.77796 | −0.888979 | − | 0.457948i | \(-0.848585\pi\) | ||||
−0.888979 | + | 0.457948i | \(0.848585\pi\) | |||||||
\(384\) | −11.1693 | + | 16.1011i | −0.569980 | + | 0.821658i | ||||
\(385\) | −1.11336 | −0.0567419 | ||||||||
\(386\) | 3.12684 | + | 2.28063i | 0.159152 | + | 0.116081i | ||||
\(387\) | 12.9867 | − | 6.15556i | 0.660149 | − | 0.312905i | ||||
\(388\) | −15.6484 | + | 30.4330i | −0.794429 | + | 1.54500i | ||||
\(389\) | −11.6144 | + | 3.52317i | −0.588871 | + | 0.178632i | −0.570638 | − | 0.821202i | \(-0.693304\pi\) |
−0.0182329 | + | 0.999834i | \(0.505804\pi\) | |||||||
\(390\) | −0.851741 | − | 25.8548i | −0.0431296 | − | 1.30921i | ||||
\(391\) | −0.159278 | + | 0.800742i | −0.00805501 | + | 0.0404953i | ||||
\(392\) | 13.8693 | + | 11.9792i | 0.700505 | + | 0.605040i | ||||
\(393\) | 1.59359 | + | 0.0384519i | 0.0803861 | + | 0.00193964i | ||||
\(394\) | −6.35797 | − | 2.21793i | −0.320310 | − | 0.111738i | ||||
\(395\) | 0.473859 | − | 4.81117i | 0.0238424 | − | 0.242076i | ||||
\(396\) | −0.101533 | + | 3.14116i | −0.00510222 | + | 0.157849i | ||||
\(397\) | −0.344167 | − | 0.104402i | −0.0172732 | − | 0.00523978i | 0.281636 | − | 0.959521i | \(-0.409123\pi\) |
−0.298909 | + | 0.954281i | \(0.596623\pi\) | |||||||
\(398\) | −14.3774 | + | 13.2411i | −0.720675 | + | 0.663718i | ||||
\(399\) | −6.19533 | − | 4.35936i | −0.310154 | − | 0.218241i | ||||
\(400\) | −5.19368 | + | 13.7637i | −0.259684 | + | 0.688185i | ||||
\(401\) | 24.1492 | − | 10.0029i | 1.20595 | − | 0.499522i | 0.313035 | − | 0.949741i | \(-0.398654\pi\) |
0.892918 | + | 0.450219i | \(0.148654\pi\) | |||||||
\(402\) | 16.3238 | − | 21.2827i | 0.814159 | − | 1.06149i | ||||
\(403\) | −5.92566 | + | 3.16733i | −0.295178 | + | 0.157776i | ||||
\(404\) | −2.88890 | + | 15.8386i | −0.143728 | + | 0.788001i | ||||
\(405\) | −26.0114 | − | 5.12866i | −1.29252 | − | 0.254845i | ||||
\(406\) | −5.06598 | + | 5.67975i | −0.251420 | + | 0.281881i | ||||
\(407\) | 1.89613 | − | 2.83776i | 0.0939877 | − | 0.140662i | ||||
\(408\) | −21.0760 | + | 19.0938i | −1.04342 | + | 0.945282i | ||||
\(409\) | 1.87506 | − | 1.25288i | 0.0927159 | − | 0.0619508i | −0.508348 | − | 0.861152i | \(-0.669744\pi\) |
0.601064 | + | 0.799201i | \(0.294744\pi\) | |||||||
\(410\) | −3.37228 | − | 4.47207i | −0.166545 | − | 0.220860i | ||||
\(411\) | 24.6635 | − | 28.6161i | 1.21656 | − | 1.41153i | ||||
\(412\) | 5.91234 | − | 7.44299i | 0.291280 | − | 0.366690i | ||||
\(413\) | −0.863059 | − | 8.76278i | −0.0424683 | − | 0.431188i | ||||
\(414\) | 0.593278 | − | 0.0637132i | 0.0291580 | − | 0.00313133i | ||||
\(415\) | −0.562627 | + | 0.562627i | −0.0276183 | + | 0.0276183i | ||||
\(416\) | −6.06621 | + | 19.3517i | −0.297420 | + | 0.948794i | ||||
\(417\) | −14.8125 | + | 9.38859i | −0.725369 | + | 0.459761i | ||||
\(418\) | 4.36413 | + | 1.05627i | 0.213456 | + | 0.0516640i | ||||
\(419\) | −2.09096 | − | 21.2299i | −0.102150 | − | 1.03715i | −0.900471 | − | 0.434916i | \(-0.856778\pi\) |
0.798321 | − | 0.602233i | \(-0.205722\pi\) | |||||||
\(420\) | −3.52398 | + | 6.46501i | −0.171952 | + | 0.315460i | ||||
\(421\) | 22.5461 | + | 12.0512i | 1.09883 | + | 0.587337i | 0.918161 | − | 0.396206i | \(-0.129674\pi\) |
0.180670 | + | 0.983544i | \(0.442174\pi\) | |||||||
\(422\) | −32.0212 | − | 4.48943i | −1.55877 | − | 0.218542i | ||||
\(423\) | 1.06088 | + | 7.11079i | 0.0515819 | + | 0.345739i | ||||
\(424\) | −7.70982 | + | 17.3631i | −0.374422 | + | 0.843228i | ||||
\(425\) | −11.8612 | + | 17.7515i | −0.575352 | + | 0.861075i | ||||
\(426\) | −5.95101 | − | 0.981254i | −0.288327 | − | 0.0475419i | ||||
\(427\) | 5.32363 | + | 6.48686i | 0.257628 | + | 0.313921i | ||||
\(428\) | −15.4320 | + | 23.9120i | −0.745936 | + | 1.15583i | ||||
\(429\) | 0.868811 | + | 3.13437i | 0.0419466 | + | 0.151329i | ||||
\(430\) | −18.7366 | + | 6.87296i | −0.903558 | + | 0.331443i | ||||
\(431\) | 25.3136 | − | 10.4852i | 1.21931 | − | 0.505056i | 0.322122 | − | 0.946698i | \(-0.395604\pi\) |
0.897191 | + | 0.441642i | \(0.145604\pi\) | |||||||
\(432\) | 17.9187 | + | 10.5319i | 0.862112 | + | 0.506718i | ||||
\(433\) | −0.358052 | − | 0.148310i | −0.0172069 | − | 0.00712733i | 0.374063 | − | 0.927403i | \(-0.377964\pi\) |
−0.391270 | + | 0.920276i | \(0.627964\pi\) | |||||||
\(434\) | 1.91083 | + | 0.0786158i | 0.0917227 | + | 0.00377368i | ||||
\(435\) | 33.1191 | + | 18.7434i | 1.58794 | + | 0.898677i | ||||
\(436\) | 8.18117 | − | 8.44618i | 0.391807 | − | 0.404499i | ||||
\(437\) | 0.0835588 | − | 0.848387i | 0.00399716 | − | 0.0405838i | ||||
\(438\) | 6.56828 | + | 28.1436i | 0.313845 | + | 1.34475i | ||||
\(439\) | −6.03638 | − | 30.3469i | −0.288101 | − | 1.44838i | −0.805480 | − | 0.592623i | \(-0.798092\pi\) |
0.517379 | − | 0.855756i | \(-0.326908\pi\) | |||||||
\(440\) | 0.537004 | − | 4.33114i | 0.0256006 | − | 0.206479i | ||||
\(441\) | 11.5662 | − | 15.6225i | 0.550770 | − | 0.743931i | ||||
\(442\) | −14.9294 | + | 25.3644i | −0.710120 | + | 1.20646i | ||||
\(443\) | −23.3155 | + | 7.07269i | −1.10775 | + | 0.336034i | −0.790595 | − | 0.612339i | \(-0.790229\pi\) |
−0.317159 | + | 0.948372i | \(0.602729\pi\) | |||||||
\(444\) | −10.4766 | − | 19.9924i | −0.497199 | − | 0.948798i | ||||
\(445\) | −23.1442 | + | 28.2013i | −1.09714 | + | 1.33687i | ||||
\(446\) | 12.8895 | − | 2.01708i | 0.610337 | − | 0.0955113i | ||||
\(447\) | −6.44960 | + | 28.7778i | −0.305056 | + | 1.36114i | ||||
\(448\) | 4.28200 | − | 3.87102i | 0.202305 | − | 0.182889i | ||||
\(449\) | −23.7154 | −1.11920 | −0.559598 | − | 0.828764i | \(-0.689045\pi\) | ||||
−0.559598 | + | 0.828764i | \(0.689045\pi\) | |||||||
\(450\) | 14.9708 | + | 4.39775i | 0.705731 | + | 0.207312i | ||||
\(451\) | 0.544379 | + | 0.446760i | 0.0256338 | + | 0.0210371i | ||||
\(452\) | −1.58408 | + | 19.2186i | −0.0745087 | + | 0.903968i | ||||
\(453\) | 34.7168 | − | 2.57550i | 1.63114 | − | 0.121008i | ||||
\(454\) | 5.61262 | − | 9.53559i | 0.263413 | − | 0.447527i | ||||
\(455\) | −1.48662 | + | 7.47376i | −0.0696940 | + | 0.350375i | ||||
\(456\) | 19.9468 | − | 21.9982i | 0.934094 | − | 1.03016i | ||||
\(457\) | −4.64179 | + | 0.923310i | −0.217134 | + | 0.0431906i | −0.302458 | − | 0.953163i | \(-0.597807\pi\) |
0.0853245 | + | 0.996353i | \(0.472807\pi\) | |||||||
\(458\) | 15.4992 | + | 32.1059i | 0.724231 | + | 1.50021i | ||||
\(459\) | 21.8723 | + | 20.7718i | 1.02091 | + | 0.969544i | ||||
\(460\) | −0.828496 | + | 0.0132046i | −0.0386288 | + | 0.000615667i | ||||
\(461\) | −27.3813 | − | 8.30604i | −1.27528 | − | 0.386851i | −0.421185 | − | 0.906975i | \(-0.638386\pi\) |
−0.854091 | + | 0.520124i | \(0.825886\pi\) | |||||||
\(462\) | 0.239424 | − | 0.894281i | 0.0111390 | − | 0.0416057i | ||||
\(463\) | 6.30846 | − | 15.2300i | 0.293179 | − | 0.707797i | −0.706821 | − | 0.707393i | \(-0.749871\pi\) |
1.00000 | 0.000404394i | \(-0.000128723\pi\) | ||||||||
\(464\) | −19.6517 | − | 22.4470i | −0.912306 | − | 1.04207i | ||||
\(465\) | −1.63878 | − | 9.42108i | −0.0759967 | − | 0.436892i | ||||
\(466\) | −8.51992 | + | 3.12528i | −0.394678 | + | 0.144776i | ||||
\(467\) | 9.33155 | − | 4.98782i | 0.431813 | − | 0.230809i | −0.241146 | − | 0.970489i | \(-0.577523\pi\) |
0.672959 | + | 0.739680i | \(0.265023\pi\) | |||||||
\(468\) | 20.9505 | + | 4.87585i | 0.968437 | + | 0.225386i | ||||
\(469\) | −6.10754 | + | 5.01233i | −0.282020 | + | 0.231448i | ||||
\(470\) | −0.569324 | − | 9.96755i | −0.0262609 | − | 0.459769i | ||||
\(471\) | −14.7166 | + | 14.0232i | −0.678107 | + | 0.646154i | ||||
\(472\) | 34.5049 | + | 0.869100i | 1.58822 | + | 0.0400036i | ||||
\(473\) | 2.08640 | − | 1.39409i | 0.0959328 | − | 0.0641002i | ||||
\(474\) | 3.76257 | + | 1.41525i | 0.172821 | + | 0.0650044i | ||||
\(475\) | 10.5087 | − | 19.6603i | 0.482170 | − | 0.902077i | ||||
\(476\) | 7.32420 | − | 4.06624i | 0.335704 | − | 0.186376i | ||||
\(477\) | 18.9781 | + | 6.77252i | 0.868946 | + | 0.310092i | ||||
\(478\) | 27.4162 | + | 6.63569i | 1.25399 | + | 0.303509i | ||||
\(479\) | 5.38692 | − | 5.38692i | 0.246134 | − | 0.246134i | −0.573248 | − | 0.819382i | \(-0.694317\pi\) |
0.819382 | + | 0.573248i | \(0.194317\pi\) | |||||||
\(480\) | −23.4502 | − | 16.8271i | −1.07035 | − | 0.768049i | ||||
\(481\) | −16.5175 | − | 16.5175i | −0.753135 | − | 0.753135i | ||||
\(482\) | 4.06340 | + | 6.65848i | 0.185083 | + | 0.303285i | ||||
\(483\) | −0.174454 | − | 0.0214426i | −0.00793794 | − | 0.000975672i | ||||
\(484\) | −2.44253 | − | 21.3118i | −0.111024 | − | 0.968716i | ||||
\(485\) | −44.4519 | − | 23.7600i | −2.01845 | − | 1.07889i | ||||
\(486\) | 9.71317 | − | 19.7903i | 0.440598 | − | 0.897704i | ||||
\(487\) | −17.0316 | − | 25.4896i | −0.771777 | − | 1.15505i | −0.984060 | − | 0.177838i | \(-0.943090\pi\) |
0.212283 | − | 0.977208i | \(-0.431910\pi\) | |||||||
\(488\) | −27.8027 | + | 17.5810i | −1.25857 | + | 0.795853i | ||||
\(489\) | −18.1283 | + | 17.2741i | −0.819791 | + | 0.781161i | ||||
\(490\) | −17.9675 | + | 20.1443i | −0.811687 | + | 0.910027i | ||||
\(491\) | 17.8601 | + | 21.7626i | 0.806015 | + | 0.982133i | 0.999999 | + | 0.00112791i | \(0.000359024\pi\) |
−0.193984 | + | 0.981005i | \(0.562141\pi\) | |||||||
\(492\) | 4.31729 | − | 1.74701i | 0.194639 | − | 0.0787612i | ||||
\(493\) | −20.4099 | − | 38.1843i | −0.919218 | − | 1.71974i | ||||
\(494\) | 12.9178 | − | 27.8852i | 0.581201 | − | 1.25461i | ||||
\(495\) | −4.62365 | − | 0.223259i | −0.207818 | − | 0.0100347i | ||||
\(496\) | −1.22747 | + | 7.39551i | −0.0551152 | + | 0.332068i | ||||
\(497\) | 1.64142 | + | 0.679899i | 0.0736278 | + | 0.0304976i | ||||
\(498\) | −0.330928 | − | 0.572910i | −0.0148292 | − | 0.0256727i | ||||
\(499\) | −0.359571 | + | 1.18535i | −0.0160966 | + | 0.0530634i | −0.964621 | − | 0.263641i | \(-0.915076\pi\) |
0.948524 | + | 0.316705i | \(0.102576\pi\) | |||||||
\(500\) | 7.24377 | + | 2.86610i | 0.323951 | + | 0.128176i | ||||
\(501\) | 25.5600 | + | 8.43200i | 1.14194 | + | 0.376714i | ||||
\(502\) | −18.9969 | − | 6.62693i | −0.847873 | − | 0.295774i | ||||
\(503\) | 3.15813 | + | 15.8770i | 0.140814 | + | 0.707920i | 0.985094 | + | 0.172018i | \(0.0550286\pi\) |
−0.844280 | + | 0.535903i | \(0.819971\pi\) | |||||||
\(504\) | −4.43507 | − | 4.22084i | −0.197554 | − | 0.188011i | ||||
\(505\) | −23.2579 | − | 4.62629i | −1.03496 | − | 0.205867i | ||||
\(506\) | 0.100855 | − | 0.0261187i | 0.00448355 | − | 0.00116112i | ||||
\(507\) | −0.254418 | + | 0.0188742i | −0.0112991 | + | 0.000838234i | ||||
\(508\) | 34.0981 | − | 10.9399i | 1.51286 | − | 0.485380i | ||||
\(509\) | −3.24784 | + | 3.95750i | −0.143958 | + | 0.175413i | −0.839998 | − | 0.542590i | \(-0.817444\pi\) |
0.696040 | + | 0.718003i | \(0.254944\pi\) | |||||||
\(510\) | −27.6249 | − | 31.4871i | −1.22325 | − | 1.39427i | ||||
\(511\) | − | 8.51304i | − | 0.376595i | ||||||
\(512\) | 12.9936 | + | 18.5248i | 0.574241 | + | 0.818687i | ||||
\(513\) | −24.8544 | − | 19.3463i | −1.09735 | − | 0.854160i | ||||
\(514\) | −5.05762 | − | 3.68889i | −0.223082 | − | 0.162710i | ||||
\(515\) | 10.8226 | + | 8.88189i | 0.476902 | + | 0.391383i | ||||
\(516\) | −1.49132 | − | 16.5278i | −0.0656515 | − | 0.727596i | ||||
\(517\) | 0.364391 | + | 1.20124i | 0.0160259 | + | 0.0528303i | ||||
\(518\) | 1.66686 | + | 6.43645i | 0.0732378 | + | 0.282802i | ||||
\(519\) | −4.47741 | − | 1.98245i | −0.196536 | − | 0.0870200i | ||||
\(520\) | −28.3571 | − | 9.38802i | −1.24354 | − | 0.411692i | ||||
\(521\) | 21.7600 | − | 4.32834i | 0.953324 | − | 0.189628i | 0.306161 | − | 0.951980i | \(-0.400955\pi\) |
0.647163 | + | 0.762352i | \(0.275955\pi\) | |||||||
\(522\) | −22.1774 | + | 22.5715i | −0.970679 | + | 0.987929i | ||||
\(523\) | 17.3567 | + | 1.70949i | 0.758956 | + | 0.0747506i | 0.470089 | − | 0.882619i | \(-0.344222\pi\) |
0.288866 | + | 0.957369i | \(0.406722\pi\) | |||||||
\(524\) | 0.677200 | − | 1.71155i | 0.0295836 | − | 0.0747696i | ||||
\(525\) | −4.00012 | − | 2.26383i | −0.174580 | − | 0.0988015i | ||||
\(526\) | 12.7240 | − | 11.7184i | 0.554792 | − | 0.510945i | ||||
\(527\) | −4.16347 | + | 10.0515i | −0.181364 | + | 0.437851i | ||||
\(528\) | 3.36342 | + | 1.36274i | 0.146374 | + | 0.0593055i | ||||
\(529\) | 8.79415 | + | 21.2310i | 0.382354 | + | 0.923085i | ||||
\(530\) | −25.3900 | − | 11.7619i | −1.10287 | − | 0.510904i | ||||
\(531\) | −1.82701 | − | 36.5640i | −0.0792856 | − | 1.58674i | ||||
\(532\) | −7.19473 | + | 4.97501i | −0.311931 | + | 0.215694i | ||||
\(533\) | 3.72591 | − | 3.05778i | 0.161387 | − | 0.132447i | ||||
\(534\) | −17.6750 | − | 24.6548i | −0.764874 | − | 1.06692i | ||||
\(535\) | −34.8533 | − | 23.2883i | −1.50684 | − | 1.00684i | ||||
\(536\) | −16.5529 | − | 26.1769i | −0.714978 | − | 1.13067i | ||||
\(537\) | −5.03810 | − | 13.0445i | −0.217410 | − | 0.562911i | ||||
\(538\) | 20.9237 | + | 27.7475i | 0.902084 | + | 1.19628i | ||||
\(539\) | 1.59987 | − | 2.99315i | 0.0689114 | − | 0.128924i | ||||
\(540\) | −15.9311 | + | 26.1419i | −0.685566 | + | 1.12497i | ||||
\(541\) | −4.50130 | + | 0.443339i | −0.193526 | + | 0.0190606i | −0.194316 | − | 0.980939i | \(-0.562249\pi\) |
0.000789779 | 1.00000i | \(0.499749\pi\) | ||||||||
\(542\) | 25.1404 | − | 15.3422i | 1.07987 | − | 0.659004i | ||||
\(543\) | −9.30739 | + | 5.89931i | −0.399418 | + | 0.253164i | ||||
\(544\) | 12.2857 | + | 30.4536i | 0.526744 | + | 1.30569i | ||||
\(545\) | 12.2468 | + | 12.2468i | 0.524594 | + | 0.524594i | ||||
\(546\) | −5.68346 | − | 2.80131i | −0.243229 | − | 0.119885i | ||||
\(547\) | 15.2064 | − | 1.49770i | 0.650178 | − | 0.0640370i | 0.232449 | − | 0.972609i | \(-0.425326\pi\) |
0.417729 | + | 0.908572i | \(0.362826\pi\) | |||||||
\(548\) | −21.1738 | − | 38.1387i | −0.904500 | − | 1.62921i | ||||
\(549\) | 20.8077 | + | 28.0068i | 0.888050 | + | 1.19530i | ||||
\(550\) | 2.69797 | + | 0.378260i | 0.115042 | + | 0.0161290i | ||||
\(551\) | 25.1169 | + | 37.5901i | 1.07002 | + | 1.60139i | ||||
\(552\) | 0.167559 | − | 0.668312i | 0.00713180 | − | 0.0284453i | ||||
\(553\) | −0.984588 | − | 0.657881i | −0.0418689 | − | 0.0279759i | ||||
\(554\) | 19.9691 | − | 1.14059i | 0.848408 | − | 0.0484591i | ||||
\(555\) | 29.6890 | − | 14.9598i | 1.26023 | − | 0.635008i | ||||
\(556\) | 4.26663 | + | 19.7957i | 0.180945 | + | 0.839523i | ||||
\(557\) | 11.7833 | + | 22.0450i | 0.499274 | + | 0.934076i | 0.997742 | + | 0.0671677i | \(0.0213963\pi\) |
−0.498468 | + | 0.866908i | \(0.666104\pi\) | |||||||
\(558\) | 7.91970 | + | 0.709657i | 0.335268 | + | 0.0300422i | ||||
\(559\) | −6.57237 | − | 15.8671i | −0.277982 | − | 0.671107i | ||||
\(560\) | 5.60040 | + | 6.39702i | 0.236660 | + | 0.270323i | ||||
\(561\) | 4.30720 | + | 3.03077i | 0.181850 | + | 0.127959i | ||||
\(562\) | 9.35603 | + | 0.384928i | 0.394660 | + | 0.0162372i | ||||
\(563\) | 4.26075 | − | 14.0458i | 0.179569 | − | 0.591961i | −0.820232 | − | 0.572031i | \(-0.806156\pi\) |
0.999801 | − | 0.0199297i | \(-0.00634424\pi\) | |||||||
\(564\) | 8.12867 | + | 1.68620i | 0.342279 | + | 0.0710016i | ||||
\(565\) | −28.2664 | − | 2.78399i | −1.18918 | − | 0.117124i | ||||
\(566\) | 32.9233 | − | 15.8938i | 1.38387 | − | 0.668067i | ||||
\(567\) | −4.11128 | + | 5.02677i | −0.172657 | + | 0.211105i | ||||
\(568\) | −3.43662 | + | 6.05746i | −0.144197 | + | 0.254165i | ||||
\(569\) | −4.50499 | − | 0.896099i | −0.188859 | − | 0.0375664i | 0.0997544 | − | 0.995012i | \(-0.468194\pi\) |
−0.288614 | + | 0.957446i | \(0.593194\pi\) | |||||||
\(570\) | 31.9289 | + | 29.8923i | 1.33735 | + | 1.25205i | ||||
\(571\) | 2.32045 | + | 7.64949i | 0.0971077 | + | 0.320121i | 0.992013 | − | 0.126135i | \(-0.0402571\pi\) |
−0.894905 | + | 0.446256i | \(0.852757\pi\) | |||||||
\(572\) | 3.74303 | + | 0.308516i | 0.156504 | + | 0.0128997i | ||||
\(573\) | −22.7625 | − | 29.1423i | −0.950919 | − | 1.21744i | ||||
\(574\) | −1.35543 | + | 0.212110i | −0.0565744 | + | 0.00885329i | ||||
\(575\) | − | 0.517243i | − | 0.0215705i | ||||||
\(576\) | 18.5589 | − | 15.2173i | 0.773289 | − | 0.634054i | ||||
\(577\) | 4.97055i | 0.206927i | 0.994633 | + | 0.103463i | \(0.0329924\pi\) | ||||
−0.994633 | + | 0.103463i | \(0.967008\pi\) | |||||||
\(578\) | 3.65115 | + | 23.3316i | 0.151868 | + | 0.970467i | ||||
\(579\) | −2.91777 | − | 3.73554i | −0.121258 | − | 0.155244i | ||||
\(580\) | 33.5192 | − | 28.4144i | 1.39181 | − | 1.17984i | ||||
\(581\) | 0.0565745 | + | 0.186501i | 0.00234711 | + | 0.00773737i | ||||
\(582\) | 28.6440 | − | 30.5955i | 1.18733 | − | 1.26823i | ||||
\(583\) | 3.45064 | + | 0.686376i | 0.142911 | + | 0.0284268i | ||||
\(584\) | 33.1171 | + | 4.10608i | 1.37040 | + | 0.169911i | ||||
\(585\) | −7.67249 | + | 30.7397i | −0.317218 | + | 1.27093i | ||||
\(586\) | −18.9816 | − | 39.3195i | −0.784122 | − | 1.62427i | ||||
\(587\) | −19.3250 | − | 1.90334i | −0.797627 | − | 0.0785594i | −0.309011 | − | 0.951058i | \(-0.599998\pi\) |
−0.488616 | + | 0.872499i | \(0.662498\pi\) | |||||||
\(588\) | −12.3167 | − | 18.7640i | −0.507931 | − | 0.773813i | ||||
\(589\) | 3.29770 | − | 10.8711i | 0.135880 | − | 0.447935i | ||||
\(590\) | −2.08984 | + | 50.7955i | −0.0860373 | + | 2.09122i | ||||
\(591\) | 6.74469 | + | 4.74592i | 0.277439 | + | 0.195221i | ||||
\(592\) | −25.8428 | + | 3.37989i | −1.06213 | + | 0.138912i | ||||
\(593\) | 6.87928 | + | 16.6080i | 0.282498 | + | 0.682011i | 0.999893 | − | 0.0146564i | \(-0.00466543\pi\) |
−0.717394 | + | 0.696667i | \(0.754665\pi\) | |||||||
\(594\) | 1.17363 | − | 3.66585i | 0.0481547 | − | 0.150411i | ||||
\(595\) | 5.81650 | + | 10.8819i | 0.238453 | + | 0.446114i | ||||
\(596\) | 28.6128 | + | 18.4658i | 1.17203 | + | 0.756388i | ||||
\(597\) | 21.3780 | − | 10.7720i | 0.874944 | − | 0.440870i | ||||
\(598\) | −0.0406619 | − | 0.711897i | −0.00166279 | − | 0.0291116i | ||||
\(599\) | 8.41144 | + | 5.62034i | 0.343682 | + | 0.229641i | 0.715417 | − | 0.698698i | \(-0.246237\pi\) |
−0.371735 | + | 0.928339i | \(0.621237\pi\) | |||||||
\(600\) | 10.7360 | − | 14.4692i | 0.438296 | − | 0.590703i | ||||
\(601\) | 1.36742 | + | 2.04648i | 0.0557780 | + | 0.0834777i | 0.858310 | − | 0.513131i | \(-0.171514\pi\) |
−0.802532 | + | 0.596609i | \(0.796514\pi\) | |||||||
\(602\) | −0.678721 | + | 4.84103i | −0.0276626 | + | 0.197306i | ||||
\(603\) | −26.3691 | + | 19.5909i | −1.07383 | + | 0.797805i | ||||
\(604\) | 11.0543 | − | 38.6479i | 0.449792 | − | 1.57256i | ||||
\(605\) | 31.4435 | − | 3.09691i | 1.27836 | − | 0.125907i | ||||
\(606\) | 8.71753 | − | 17.6866i | 0.354125 | − | 0.718469i | ||||
\(607\) | −4.18460 | − | 4.18460i | −0.169848 | − | 0.169848i | 0.617065 | − | 0.786912i | \(-0.288322\pi\) |
−0.786912 | + | 0.617065i | \(0.788322\pi\) | |||||||
\(608\) | −15.8834 | − | 30.3882i | −0.644156 | − | 1.23241i | ||||
\(609\) | 7.87299 | − | 4.99014i | 0.319030 | − | 0.202211i | ||||
\(610\) | −25.2392 | − | 41.3580i | −1.02190 | − | 1.67454i | ||||
\(611\) | 8.55024 | − | 0.842125i | 0.345906 | − | 0.0340687i | ||||
\(612\) | 31.2320 | − | 15.4180i | 1.26248 | − | 0.623235i | ||||
\(613\) | −5.50142 | + | 10.2924i | −0.222200 | + | 0.415708i | −0.968178 | − | 0.250264i | \(-0.919483\pi\) |
0.745977 | + | 0.665971i | \(0.231983\pi\) | |||||||
\(614\) | −5.78677 | + | 4.36366i | −0.233535 | + | 0.176103i | ||||
\(615\) | 2.47151 | + | 6.39915i | 0.0996607 | + | 0.258038i | ||||
\(616\) | −0.873601 | − | 0.616094i | −0.0351984 | − | 0.0248231i | ||||
\(617\) | −8.10267 | − | 5.41403i | −0.326201 | − | 0.217961i | 0.381676 | − | 0.924296i | \(-0.375347\pi\) |
−0.707877 | + | 0.706336i | \(0.750347\pi\) | |||||||
\(618\) | −9.46158 | + | 6.78303i | −0.380600 | + | 0.272853i | ||||
\(619\) | −33.7760 | + | 27.7193i | −1.35757 | + | 1.11413i | −0.375253 | + | 0.926922i | \(0.622444\pi\) |
−0.982320 | + | 0.187209i | \(0.940056\pi\) | |||||||
\(620\) | −10.8627 | − | 1.98131i | −0.436255 | − | 0.0795712i | ||||
\(621\) | −0.720190 | − | 0.124032i | −0.0289002 | − | 0.00497722i | ||||
\(622\) | 5.81248 | − | 12.5472i | 0.233059 | − | 0.503096i | ||||
\(623\) | 3.41968 | + | 8.25583i | 0.137006 | + | 0.330763i | ||||
\(624\) | 13.6389 | − | 20.7584i | 0.545991 | − | 0.831002i | ||||
\(625\) | −11.4280 | + | 27.5897i | −0.457122 | + | 1.10359i | ||||
\(626\) | 6.13541 | + | 6.66192i | 0.245220 | + | 0.266264i | ||||
\(627\) | −4.78598 | − | 2.70857i | −0.191134 | − | 0.108170i | ||||
\(628\) | 9.32710 | + | 21.5401i | 0.372192 | + | 0.859545i | ||||
\(629\) | −37.6421 | − | 3.70742i | −1.50089 | − | 0.147824i | ||||
\(630\) | 6.32020 | − | 6.43251i | 0.251803 | − | 0.256277i | ||||
\(631\) | −25.6842 | + | 5.10890i | −1.02247 | + | 0.203382i | −0.677726 | − | 0.735315i | \(-0.737034\pi\) |
−0.344744 | + | 0.938697i | \(0.612034\pi\) | |||||||
\(632\) | 3.03416 | − | 3.51289i | 0.120692 | − | 0.139735i | ||||
\(633\) | 36.2107 | + | 16.0329i | 1.43924 | + | 0.637251i | ||||
\(634\) | −1.36954 | + | 0.354674i | −0.0543915 | + | 0.0140859i | ||||
\(635\) | 15.3110 | + | 50.4736i | 0.607598 | + | 2.00298i | ||||
\(636\) | 14.9075 | − | 17.8646i | 0.591123 | − | 0.708378i | ||||
\(637\) | −17.9562 | − | 14.7363i | −0.711452 | − | 0.583874i | ||||
\(638\) | −3.25575 | + | 4.46378i | −0.128897 | + | 0.176723i | ||||
\(639\) | 6.68031 | + | 3.15270i | 0.264269 | + | 0.124719i | ||||
\(640\) | −27.5867 | + | 18.7010i | −1.09046 | + | 0.739222i | ||||
\(641\) | 34.6737i | 1.36953i | 0.728765 | + | 0.684764i | \(0.240095\pi\) | ||||
−0.728765 | + | 0.684764i | \(0.759905\pi\) | |||||||
\(642\) | 26.2009 | − | 22.9872i | 1.03407 | − | 0.907231i | ||||
\(643\) | −15.5428 | + | 18.9389i | −0.612947 | + | 0.746878i | −0.983296 | − | 0.182015i | \(-0.941738\pi\) |
0.370349 | + | 0.928893i | \(0.379238\pi\) | |||||||
\(644\) | −0.0928092 | + | 0.180495i | −0.00365720 | + | 0.00711250i | ||||
\(645\) | 24.3757 | − | 1.80834i | 0.959793 | − | 0.0712033i | ||||
\(646\) | −12.4755 | − | 48.1731i | −0.490842 | − | 1.89534i | ||||
\(647\) | 3.61010 | + | 0.718094i | 0.141928 | + | 0.0282312i | 0.265543 | − | 0.964099i | \(-0.414449\pi\) |
−0.123615 | + | 0.992330i | \(0.539449\pi\) | |||||||
\(648\) | −17.5720 | − | 18.4181i | −0.690292 | − | 0.723531i | ||||
\(649\) | −1.24703 | − | 6.26922i | −0.0489501 | − | 0.246089i | ||||
\(650\) | 6.14169 | − | 17.6059i | 0.240897 | − | 0.690560i | ||||
\(651\) | −2.22435 | − | 0.733790i | −0.0871790 | − | 0.0287595i | ||||
\(652\) | 11.4893 | + | 26.5336i | 0.449957 | + | 1.03914i | ||||
\(653\) | −11.0559 | + | 36.4466i | −0.432653 | + | 1.42626i | 0.421778 | + | 0.906699i | \(0.361406\pi\) |
−0.854431 | + | 0.519565i | \(0.826094\pi\) | |||||||
\(654\) | −12.4706 | + | 7.20335i | −0.487640 | + | 0.281673i | ||||
\(655\) | 2.50473 | + | 1.03750i | 0.0978681 | + | 0.0405383i | ||||
\(656\) | −0.171381 | − | 5.37513i | −0.00669132 | − | 0.209864i | ||||
\(657\) | 1.70710 | − | 35.3538i | 0.0666003 | − | 1.37928i | ||||
\(658\) | −2.21891 | − | 1.02791i | −0.0865022 | − | 0.0400722i | ||||
\(659\) | −23.3000 | − | 43.5913i | −0.907640 | − | 1.69807i | −0.692401 | − | 0.721513i | \(-0.743447\pi\) |
−0.215239 | − | 0.976561i | \(-0.569053\pi\) | |||||||
\(660\) | −2.08587 | + | 4.92137i | −0.0811923 | + | 0.191564i | ||||
\(661\) | 29.1970 | + | 35.5766i | 1.13563 | + | 1.38377i | 0.912548 | + | 0.408971i | \(0.134112\pi\) |
0.223083 | + | 0.974799i | \(0.428388\pi\) | |||||||
\(662\) | −21.9772 | − | 19.6023i | −0.854168 | − | 0.761864i | ||||
\(663\) | 26.0962 | − | 24.8666i | 1.01349 | − | 0.965737i | ||||
\(664\) | −0.752807 | + | 0.130129i | −0.0292146 | + | 0.00504999i | ||||
\(665\) | −7.15790 | − | 10.7125i | −0.277571 | − | 0.415415i | ||||
\(666\) | 5.63162 | + | 27.0642i | 0.218221 | + | 1.04872i | ||||
\(667\) | 0.925103 | + | 0.494478i | 0.0358202 | + | 0.0191463i | ||||
\(668\) | 19.3307 | − | 24.3353i | 0.747929 | − | 0.941560i | ||||
\(669\) | −15.8592 | − | 1.94929i | −0.613151 | − | 0.0753640i | ||||
\(670\) | 38.9396 | − | 23.7633i | 1.50437 | − | 0.918057i | ||||
\(671\) | 4.30760 | + | 4.30760i | 0.166293 | + | 0.166293i | ||||
\(672\) | −6.34263 | + | 3.12275i | −0.244672 | + | 0.120463i | ||||
\(673\) | 3.20382 | − | 3.20382i | 0.123498 | − | 0.123498i | −0.642656 | − | 0.766155i | \(-0.722168\pi\) |
0.766155 | + | 0.642656i | \(0.222168\pi\) | |||||||
\(674\) | −4.39654 | + | 18.1649i | −0.169349 | + | 0.699685i | ||||
\(675\) | −16.1581 | − | 10.2036i | −0.621927 | − | 0.392736i | ||||
\(676\) | −0.0810098 | + | 0.283226i | −0.00311576 | + | 0.0108933i | ||||
\(677\) | −0.256084 | + | 0.479099i | −0.00984211 | + | 0.0184133i | −0.886794 | − | 0.462164i | \(-0.847073\pi\) |
0.876952 | + | 0.480578i | \(0.159573\pi\) | |||||||
\(678\) | 8.31479 | − | 22.1057i | 0.319327 | − | 0.848964i | ||||
\(679\) | −10.2652 | + | 6.85899i | −0.393942 | + | 0.263224i | ||||
\(680\) | −45.1378 | + | 17.3785i | −1.73096 | + | 0.666434i | ||||
\(681\) | −9.81072 | + | 9.34843i | −0.375948 | + | 0.358233i | ||||
\(682\) | 1.38606 | − | 0.0791688i | 0.0530751 | − | 0.00303153i | ||||
\(683\) | 27.9813 | − | 22.9637i | 1.07067 | − | 0.878680i | 0.0776965 | − | 0.996977i | \(-0.475243\pi\) |
0.992978 | + | 0.118297i | \(0.0377435\pi\) | |||||||
\(684\) | −30.8766 | + | 19.2180i | −1.18060 | + | 0.734817i | ||||
\(685\) | 56.6644 | − | 30.2878i | 2.16504 | − | 1.15724i | ||||
\(686\) | 4.73684 | + | 12.9133i | 0.180854 | + | 0.493031i | ||||
\(687\) | −7.48288 | − | 43.0178i | −0.285490 | − | 1.64123i | ||||
\(688\) | −18.5050 | − | 4.97530i | −0.705497 | − | 0.189682i | ||||
\(689\) | 9.21504 | − | 22.2471i | 0.351065 | − | 0.847546i | ||||
\(690\) | 0.980300 | + | 0.262454i | 0.0373194 | + | 0.00999144i | ||||
\(691\) | −16.3533 | − | 4.96071i | −0.622108 | − | 0.188714i | −0.0365328 | − | 0.999332i | \(-0.511631\pi\) |
−0.585575 | + | 0.810618i | \(0.699131\pi\) | |||||||
\(692\) | −3.93389 | + | 4.06131i | −0.149544 | + | 0.154388i | ||||
\(693\) | −0.582095 | + | 0.973016i | −0.0221120 | + | 0.0369618i | ||||
\(694\) | 15.3616 | − | 7.41587i | 0.583120 | − | 0.281503i | ||||
\(695\) | −29.2535 | + | 5.81888i | −1.10965 | + | 0.220723i | ||||
\(696\) | 15.6151 | + | 33.0341i | 0.591889 | + | 1.25215i | ||||
\(697\) | 1.52262 | − | 7.65474i | 0.0576734 | − | 0.289944i | ||||
\(698\) | 18.9866 | + | 11.1755i | 0.718653 | + | 0.422997i | ||||
\(699\) | 11.0842 | − | 0.822290i | 0.419241 | − | 0.0311018i | ||||
\(700\) | −4.04845 | + | 3.43189i | −0.153017 | + | 0.129713i | ||||
\(701\) | 3.19500 | + | 2.62207i | 0.120673 | + | 0.0990341i | 0.692795 | − | 0.721135i | \(-0.256379\pi\) |
−0.572121 | + | 0.820169i | \(0.693879\pi\) | |||||||
\(702\) | −23.0411 | − | 12.7732i | −0.869629 | − | 0.482095i | ||||
\(703\) | 39.4949 | 1.48958 | ||||||||
\(704\) | 2.81807 | − | 3.10129i | 0.106210 | − | 0.116884i | ||||
\(705\) | −2.67408 | + | 11.9316i | −0.100712 | + | 0.449371i | ||||
\(706\) | 3.94862 | + | 25.2325i | 0.148608 | + | 0.949637i | ||||
\(707\) | −3.68483 | + | 4.48997i | −0.138582 | + | 0.168863i | ||||
\(708\) | −40.3510 | − | 12.6020i | −1.51648 | − | 0.473614i | ||||
\(709\) | 36.7214 | − | 11.1393i | 1.37910 | − | 0.418346i | 0.488276 | − | 0.872689i | \(-0.337626\pi\) |
0.890827 | + | 0.454343i | \(0.150126\pi\) | |||||||
\(710\) | −8.84024 | − | 5.20334i | −0.331768 | − | 0.195278i | ||||
\(711\) | −3.95697 | − | 2.92955i | −0.148398 | − | 0.109867i | ||||
\(712\) | −33.7659 | + | 9.32107i | −1.26543 | + | 0.349322i | ||||
\(713\) | −0.0514230 | − | 0.258521i | −0.00192580 | − | 0.00968167i | ||||
\(714\) | −9.99149 | + | 2.33186i | −0.373922 | + | 0.0872678i | ||||
\(715\) | −0.542212 | + | 5.50517i | −0.0202776 | + | 0.205882i | ||||
\(716\) | −16.1448 | + | 0.257316i | −0.603360 | + | 0.00961636i | ||||
\(717\) | −30.0663 | − | 17.0157i | −1.12285 | − | 0.635464i | ||||
\(718\) | −1.62337 | + | 39.4575i | −0.0605836 | + | 1.47254i | ||||
\(719\) | 14.6158 | + | 6.05404i | 0.545076 | + | 0.225778i | 0.638192 | − | 0.769878i | \(-0.279683\pi\) |
−0.0931159 | + | 0.995655i | \(0.529683\pi\) | |||||||
\(720\) | 21.9751 | + | 27.6892i | 0.818964 | + | 1.03191i | ||||
\(721\) | 3.16828 | − | 1.31234i | 0.117993 | − | 0.0488742i | ||||
\(722\) | 8.64061 | + | 23.5555i | 0.321570 | + | 0.876643i | ||||
\(723\) | −2.55191 | − | 9.20639i | −0.0949065 | − | 0.342389i | ||||
\(724\) | 2.68093 | + | 12.4386i | 0.0996361 | + | 0.462276i | ||||
\(725\) | 17.4016 | + | 21.2039i | 0.646280 | + | 0.787494i | ||||
\(726\) | −4.27429 | + | 25.9223i | −0.158634 | + | 0.962067i | ||||
\(727\) | −13.9806 | + | 20.9235i | −0.518512 | + | 0.776008i | −0.994643 | − | 0.103366i | \(-0.967039\pi\) |
0.476131 | + | 0.879374i | \(0.342039\pi\) | |||||||
\(728\) | −5.30222 | + | 5.04168i | −0.196513 | + | 0.186857i | ||||
\(729\) | −18.0817 | + | 20.0512i | −0.669693 | + | 0.742638i | ||||
\(730\) | −6.82441 | + | 48.6757i | −0.252583 | + | 1.80157i | ||||
\(731\) | −24.5257 | − | 13.1093i | −0.907116 | − | 0.484864i | ||||
\(732\) | 38.6476 | − | 11.3789i | 1.42846 | − | 0.420577i | ||||
\(733\) | 3.30388 | + | 33.5449i | 0.122032 | + | 1.23901i | 0.839866 | + | 0.542794i | \(0.182634\pi\) |
−0.717834 | + | 0.696214i | \(0.754866\pi\) | |||||||
\(734\) | −2.98827 | + | 12.3464i | −0.110299 | + | 0.455715i | ||||
\(735\) | 27.9231 | − | 17.6985i | 1.02996 | − | 0.652819i | ||||
\(736\) | −0.657390 | − | 0.448101i | −0.0242317 | − | 0.0165172i | ||||
\(737\) | −4.05572 | + | 4.05572i | −0.149394 | + | 0.149394i | ||||
\(738\) | −5.67148 | + | 0.609070i | −0.208770 | + | 0.0224202i | ||||
\(739\) | −1.29278 | − | 13.1258i | −0.0475556 | − | 0.482840i | −0.989236 | − | 0.146331i | \(-0.953254\pi\) |
0.941680 | − | 0.336509i | \(-0.109246\pi\) | |||||||
\(740\) | −4.37102 | − | 38.1384i | −0.160682 | − | 1.40200i | ||||
\(741\) | −24.5727 | + | 28.5108i | −0.902701 | + | 1.04737i | ||||
\(742\) | −5.47242 | + | 4.12662i | −0.200899 | + | 0.151493i | ||||
\(743\) | 4.96866 | − | 3.31995i | 0.182282 | − | 0.121797i | −0.461081 | − | 0.887358i | \(-0.652538\pi\) |
0.643364 | + | 0.765561i | \(0.277538\pi\) | |||||||
\(744\) | 3.92743 | − | 8.29914i | 0.143987 | − | 0.304261i | ||||
\(745\) | −27.8664 | + | 41.7051i | −1.02095 | + | 1.52796i | ||||
\(746\) | 2.44080 | + | 2.17704i | 0.0893641 | + | 0.0797072i | ||||
\(747\) | 0.197549 | + | 0.785865i | 0.00722795 | + | 0.0287533i | ||||
\(748\) | 5.00201 | − | 3.45879i | 0.182892 | − | 0.126466i | ||||
\(749\) | −9.05501 | + | 4.84000i | −0.330863 | + | 0.176850i | ||||
\(750\) | −7.57056 | − | 5.80661i | −0.276438 | − | 0.212027i | ||||
\(751\) | −32.1836 | + | 13.3309i | −1.17440 | + | 0.486452i | −0.882644 | − | 0.470042i | \(-0.844239\pi\) |
−0.291754 | + | 0.956493i | \(0.594239\pi\) | |||||||
\(752\) | 5.06899 | − | 8.13613i | 0.184847 | − | 0.296694i | ||||
\(753\) | 20.1524 | + | 14.1803i | 0.734393 | + | 0.516757i | ||||
\(754\) | 25.6173 | + | 27.8156i | 0.932926 | + | 1.01298i | ||||
\(755\) | 56.6578 | + | 17.1869i | 2.06199 | + | 0.625497i | ||||
\(756\) | 3.80765 | + | 6.45987i | 0.138483 | + | 0.234943i | ||||
\(757\) | 1.04206 | − | 10.5803i | 0.0378745 | − | 0.384546i | −0.957497 | − | 0.288443i | \(-0.906862\pi\) |
0.995371 | − | 0.0961026i | \(-0.0306377\pi\) | |||||||
\(758\) | −17.6530 | + | 50.6046i | −0.641187 | + | 1.83804i | ||||
\(759\) | −0.127559 | − | 0.00307789i | −0.00463011 | − | 0.000111720i | ||||
\(760\) | 45.1260 | − | 22.6784i | 1.63689 | − | 0.822632i | ||||
\(761\) | 5.44809 | − | 27.3894i | 0.197493 | − | 0.992864i | −0.747123 | − | 0.664686i | \(-0.768565\pi\) |
0.944616 | − | 0.328178i | \(-0.106435\pi\) | |||||||
\(762\) | −43.8345 | + | 1.44405i | −1.58796 | + | 0.0523124i | ||||
\(763\) | 4.05960 | − | 1.23146i | 0.146967 | − | 0.0445820i | ||||
\(764\) | −40.6577 | + | 13.0445i | −1.47095 | + | 0.471932i | ||||
\(765\) | 21.9732 | + | 46.3578i | 0.794442 | + | 1.67607i | ||||
\(766\) | 28.9973 | − | 39.7566i | 1.04772 | − | 1.43646i | ||||
\(767\) | −43.7493 | −1.57970 | ||||||||
\(768\) | −9.08878 | − | 26.1800i | −0.327963 | − | 0.944691i | ||||
\(769\) | −23.3480 | −0.841949 | −0.420975 | − | 0.907072i | \(-0.638312\pi\) | ||||
−0.420975 | + | 0.907072i | \(0.638312\pi\) | |||||||
\(770\) | 0.927836 | − | 1.27210i | 0.0334369 | − | 0.0458434i | ||||
\(771\) | 4.71945 | + | 6.04219i | 0.169967 | + | 0.217604i | ||||
\(772\) | −5.21163 | + | 1.67208i | −0.187571 | + | 0.0601793i | ||||
\(773\) | 26.2697 | − | 7.96883i | 0.944856 | − | 0.286619i | 0.219985 | − | 0.975503i | \(-0.429399\pi\) |
0.724871 | + | 0.688884i | \(0.241899\pi\) | |||||||
\(774\) | −3.78942 | + | 19.9682i | −0.136208 | + | 0.717742i | ||||
\(775\) | 1.34471 | − | 6.76029i | 0.0483033 | − | 0.242837i | ||||
\(776\) | −21.7314 | − | 43.2416i | −0.780111 | − | 1.55228i | ||||
\(777\) | 0.196427 | − | 8.14070i | 0.00704679 | − | 0.292046i | ||||
\(778\) | 5.65351 | − | 16.2065i | 0.202688 | − | 0.581030i | ||||
\(779\) | −0.798785 | + | 8.11020i | −0.0286195 | + | 0.290578i | ||||
\(780\) | 30.2511 | + | 20.5734i | 1.08316 | + | 0.736645i | ||||
\(781\) | 1.23422 | + | 0.374395i | 0.0441637 | + | 0.0133969i | ||||
\(782\) | −0.782178 | − | 0.849301i | −0.0279706 | − | 0.0303709i | ||||
\(783\) | 33.6964 | − | 19.1448i | 1.20421 | − | 0.684179i | ||||
\(784\) | −25.2454 | + | 5.86375i | −0.901623 | + | 0.209420i | ||||
\(785\) | −31.9414 | + | 13.2306i | −1.14004 | + | 0.472219i | ||||
\(786\) | −1.37198 | + | 1.78877i | −0.0489370 | + | 0.0638032i | ||||
\(787\) | −26.1800 | + | 13.9935i | −0.933217 | + | 0.498815i | −0.866622 | − | 0.498965i | \(-0.833713\pi\) |
−0.0665947 | + | 0.997780i | \(0.521213\pi\) | |||||||
\(788\) | 7.83270 | − | 5.41616i | 0.279028 | − | 0.192943i | ||||
\(789\) | −18.9195 | + | 9.53322i | −0.673552 | + | 0.339392i | ||||
\(790\) | 5.10227 | + | 4.55090i | 0.181531 | + | 0.161914i | ||||
\(791\) | −3.86515 | + | 5.78460i | −0.137429 | + | 0.205677i | ||||
\(792\) | −3.50443 | − | 2.73376i | −0.124524 | − | 0.0971398i | ||||
\(793\) | 34.6680 | − | 23.1644i | 1.23110 | − | 0.822591i | ||||
\(794\) | 0.406106 | − | 0.306234i | 0.0144121 | − | 0.0108678i | ||||
\(795\) | 25.9595 | + | 22.3739i | 0.920690 | + | 0.793520i | ||||
\(796\) | −3.14742 | − | 27.4621i | −0.111557 | − | 0.973370i | ||||
\(797\) | −1.76634 | − | 17.9340i | −0.0625670 | − | 0.635253i | −0.974420 | − | 0.224736i | \(-0.927848\pi\) |
0.911853 | − | 0.410518i | \(-0.134652\pi\) | |||||||
\(798\) | 10.1439 | − | 3.44573i | 0.359091 | − | 0.121978i | ||||
\(799\) | 9.83714 | − | 9.83714i | 0.348013 | − | 0.348013i | ||||
\(800\) | −11.3979 | − | 17.4044i | −0.402978 | − | 0.615340i | ||||
\(801\) | 12.5460 | + | 34.9713i | 0.443292 | + | 1.23565i | ||||
\(802\) | −8.69599 | + | 35.9286i | −0.307066 | + | 1.26868i | ||||
\(803\) | −0.605743 | − | 6.15021i | −0.0213762 | − | 0.217036i | ||||
\(804\) | 10.7135 | + | 36.3877i | 0.377837 | + | 1.28330i | ||||
\(805\) | −0.263639 | − | 0.140918i | −0.00929206 | − | 0.00496671i | ||||
\(806\) | 1.31931 | − | 9.41011i | 0.0464709 | − | 0.331457i | ||||
\(807\) | −15.3348 | − | 39.7043i | −0.539809 | − | 1.39766i | ||||
\(808\) | −15.6894 | − | 16.5002i | −0.551952 | − | 0.580475i | ||||
\(809\) | 1.42666 | − | 2.13514i | 0.0501586 | − | 0.0750677i | −0.805543 | − | 0.592538i | \(-0.798126\pi\) |
0.855701 | + | 0.517470i | \(0.173126\pi\) | |||||||
\(810\) | 27.5370 | − | 25.4462i | 0.967552 | − | 0.894088i | ||||
\(811\) | 32.3346 | + | 39.3999i | 1.13542 | + | 1.38352i | 0.912698 | + | 0.408635i | \(0.133995\pi\) |
0.222725 | + | 0.974881i | \(0.428505\pi\) | |||||||
\(812\) | −2.26776 | − | 10.5216i | −0.0795829 | − | 0.369237i | ||||
\(813\) | −34.7606 | + | 9.63524i | −1.21911 | + | 0.337923i | ||||
\(814\) | 1.66220 | + | 4.53138i | 0.0582602 | + | 0.158825i | ||||
\(815\) | −39.3462 | + | 16.2977i | −1.37824 | + | 0.570884i | ||||
\(816\) | −4.25215 | − | 39.9932i | −0.148855 | − | 1.40004i | ||||
\(817\) | 26.8274 | + | 11.1123i | 0.938572 | + | 0.388769i | ||||
\(818\) | −0.131101 | + | 3.18653i | −0.00458383 | + | 0.111414i | ||||
\(819\) | 5.75443 | + | 5.20673i | 0.201076 | + | 0.181938i | ||||
\(820\) | 7.92006 | − | 0.126230i | 0.276580 | − | 0.00440814i | ||||
\(821\) | 5.01689 | − | 50.9373i | 0.175091 | − | 1.77773i | −0.360021 | − | 0.932944i | \(-0.617231\pi\) |
0.535112 | − | 0.844781i | \(-0.320269\pi\) | |||||||
\(822\) | 12.1425 | + | 52.0278i | 0.423519 | + | 1.81468i | ||||
\(823\) | 2.58878 | + | 13.0147i | 0.0902393 | + | 0.453664i | 0.999314 | + | 0.0370308i | \(0.0117900\pi\) |
−0.909075 | + | 0.416633i | \(0.863210\pi\) | |||||||
\(824\) | 3.57708 | + | 12.9581i | 0.124613 | + | 0.451417i | ||||
\(825\) | −3.05095 | − | 1.35086i | −0.106221 | − | 0.0470311i | ||||
\(826\) | 10.7315 | + | 6.31651i | 0.373395 | + | 0.219779i | ||||
\(827\) | −1.84812 | + | 0.560621i | −0.0642654 | + | 0.0194947i | −0.322254 | − | 0.946653i | \(-0.604440\pi\) |
0.257988 | + | 0.966148i | \(0.416940\pi\) | |||||||
\(828\) | −0.421621 | + | 0.730966i | −0.0146524 | + | 0.0254028i | ||||
\(829\) | 18.5288 | − | 22.5775i | 0.643534 | − | 0.784148i | −0.344434 | − | 0.938811i | \(-0.611929\pi\) |
0.987967 | + | 0.154663i | \(0.0494291\pi\) | |||||||
\(830\) | −0.173973 | − | 1.11172i | −0.00603870 | − | 0.0385885i | ||||
\(831\) | −23.9040 | − | 5.35729i | −0.829220 | − | 0.185842i | ||||
\(832\) | −17.0555 | − | 23.0582i | −0.591294 | − | 0.799400i | ||||
\(833\) | −37.6131 | −1.30322 | ||||||||
\(834\) | 1.61698 | − | 24.7486i | 0.0559914 | − | 0.856974i | ||||
\(835\) | 35.3852 | + | 29.0398i | 1.22455 | + | 1.00497i | ||||
\(836\) | −4.84380 | + | 4.10612i | −0.167526 | + | 0.142013i | ||||
\(837\) | −9.09033 | − | 3.49340i | −0.314208 | − | 0.120750i | ||||
\(838\) | 25.9995 | + | 15.3032i | 0.898137 | + | 0.528641i | ||||
\(839\) | 0.941702 | − | 4.73426i | 0.0325112 | − | 0.163445i | −0.961119 | − | 0.276134i | \(-0.910947\pi\) |
0.993630 | + | 0.112690i | \(0.0359466\pi\) | |||||||
\(840\) | −4.45004 | − | 9.41417i | −0.153541 | − | 0.324820i | ||||
\(841\) | −26.1168 | + | 5.19495i | −0.900579 | + | 0.179136i | ||||
\(842\) | −32.5587 | + | 15.7178i | −1.12205 | + | 0.541671i | ||||
\(843\) | −10.8911 | − | 3.59287i | −0.375110 | − | 0.123745i | ||||
\(844\) | 31.8150 | − | 32.8455i | 1.09512 | − | 1.13059i | ||||
\(845\) | −0.415209 | − | 0.125952i | −0.0142836 | − | 0.00433289i | ||||
\(846\) | −9.00878 | − | 4.71376i | −0.309728 | − | 0.162062i | ||||
\(847\) | 2.96161 | − | 7.14995i | 0.101762 | − | 0.245675i | ||||
\(848\) | −13.4137 | − | 23.2790i | −0.460629 | − | 0.799404i | ||||
\(849\) | −44.1130 | + | 7.67338i | −1.51395 | + | 0.263350i | ||||
\(850\) | −10.3979 | − | 28.3459i | −0.356644 | − | 0.972258i | ||||
\(851\) | 0.808174 | − | 0.431978i | 0.0277038 | − | 0.0148080i | ||||
\(852\) | 6.08054 | − | 5.98178i | 0.208316 | − | 0.204932i | ||||
\(853\) | −13.5889 | + | 11.1521i | −0.465274 | + | 0.381841i | −0.837620 | − | 0.546253i | \(-0.816054\pi\) |
0.372346 | + | 0.928094i | \(0.378554\pi\) | |||||||
\(854\) | −11.8483 | + | 0.676749i | −0.405441 | + | 0.0231579i | ||||
\(855\) | −27.5778 | − | 45.9234i | −0.943142 | − | 1.57055i | ||||
\(856\) | −14.4609 | − | 37.5599i | −0.494264 | − | 1.28377i | ||||
\(857\) | −13.1267 | + | 8.77096i | −0.448398 | + | 0.299610i | −0.759191 | − | 0.650867i | \(-0.774405\pi\) |
0.310793 | + | 0.950478i | \(0.399405\pi\) | |||||||
\(858\) | −4.30532 | − | 1.61939i | −0.146981 | − | 0.0552851i | ||||
\(859\) | 9.24406 | − | 17.2944i | 0.315403 | − | 0.590078i | −0.673404 | − | 0.739274i | \(-0.735169\pi\) |
0.988808 | + | 0.149196i | \(0.0476687\pi\) | |||||||
\(860\) | 7.76155 | − | 27.1358i | 0.264667 | − | 0.925324i | ||||
\(861\) | 1.66770 | + | 0.204982i | 0.0568352 | + | 0.00698576i | ||||
\(862\) | −9.11528 | + | 37.6610i | −0.310468 | + | 1.28274i | ||||
\(863\) | 30.2462 | − | 30.2462i | 1.02959 | − | 1.02959i | 0.0300443 | − | 0.999549i | \(-0.490435\pi\) |
0.999549 | − | 0.0300443i | \(-0.00956484\pi\) | |||||||
\(864\) | −26.9665 | + | 11.6966i | −0.917418 | + | 0.397926i | ||||
\(865\) | −5.88882 | − | 5.88882i | −0.200226 | − | 0.200226i | ||||
\(866\) | 0.467846 | − | 0.285508i | 0.0158981 | − | 0.00970195i | ||||
\(867\) | 3.52845 | − | 28.7070i | 0.119833 | − | 0.974941i | ||||
\(868\) | −1.68225 | + | 2.11777i | −0.0570992 | + | 0.0718816i | ||||
\(869\) | −0.758123 | − | 0.405225i | −0.0257176 | − | 0.0137463i | ||||
\(870\) | −49.0163 | + | 22.2212i | −1.66181 | + | 0.753369i | ||||
\(871\) | 21.8099 | + | 32.6407i | 0.738999 | + | 1.10599i | ||||
\(872\) | 2.83254 | + | 16.3865i | 0.0959219 | + | 0.554915i | ||||
\(873\) | −44.0057 | + | 26.4262i | −1.48937 | + | 0.894391i | ||||
\(874\) | 0.899718 | + | 0.802492i | 0.0304334 | + | 0.0271447i | ||||
\(875\) | 1.78295 | + | 2.17253i | 0.0602748 | + | 0.0734451i | ||||
\(876\) | −37.6302 | − | 15.9491i | −1.27141 | − | 0.538871i | ||||
\(877\) | −7.82546 | − | 14.6404i | −0.264247 | − | 0.494371i | 0.714449 | − | 0.699688i | \(-0.246678\pi\) |
−0.978696 | + | 0.205317i | \(0.934178\pi\) | |||||||
\(878\) | 39.7044 | + | 18.3931i | 1.33996 | + | 0.620737i | ||||
\(879\) | 9.16413 | + | 52.6830i | 0.309099 | + | 1.77696i | ||||
\(880\) | 4.50117 | + | 4.22300i | 0.151734 | + | 0.142357i | ||||
\(881\) | 4.90593 | + | 2.03210i | 0.165285 | + | 0.0684632i | 0.463792 | − | 0.885944i | \(-0.346489\pi\) |
−0.298507 | + | 0.954407i | \(0.596489\pi\) | |||||||
\(882\) | 8.21118 | + | 26.2346i | 0.276485 | + | 0.883367i | ||||
\(883\) | −3.22734 | + | 10.6391i | −0.108609 | + | 0.358035i | −0.994351 | − | 0.106143i | \(-0.966150\pi\) |
0.885742 | + | 0.464177i | \(0.153650\pi\) | |||||||
\(884\) | −16.5392 | − | 38.1960i | −0.556275 | − | 1.28467i | ||||
\(885\) | 19.5063 | − | 59.1297i | 0.655698 | − | 1.98762i | ||||
\(886\) | 11.3493 | − | 32.5341i | 0.381287 | − | 1.09300i | ||||
\(887\) | −2.45078 | − | 12.3209i | −0.0822892 | − | 0.413696i | −0.999870 | − | 0.0161455i | \(-0.994860\pi\) |
0.917580 | − | 0.397550i | \(-0.130140\pi\) | |||||||
\(888\) | 31.5739 | + | 4.69062i | 1.05955 | + | 0.157407i | ||||
\(889\) | 12.6711 | + | 2.52044i | 0.424975 | + | 0.0845328i | ||||
\(890\) | −12.9347 | − | 49.9463i | −0.433573 | − | 1.67420i | ||||
\(891\) | −2.61250 | + | 3.92411i | −0.0875219 | + | 0.131463i | ||||
\(892\) | −8.43705 | + | 16.4083i | −0.282493 | + | 0.549392i | ||||
\(893\) | −9.21540 | + | 11.2290i | −0.308382 | + | 0.375764i | ||||
\(894\) | −27.5062 | − | 31.3517i | −0.919944 | − | 1.04856i | ||||
\(895\) | − | 23.7827i | − | 0.794970i | ||||||
\(896\) | 0.854490 | + | 8.11853i | 0.0285465 | + | 0.271221i | ||||
\(897\) | −0.190987 | + | 0.852174i | −0.00637686 | + | 0.0284532i | ||||
\(898\) | 19.7636 | − | 27.0968i | 0.659521 | − | 0.904231i | ||||
\(899\) | 10.8055 | + | 8.86781i | 0.360382 | + | 0.295758i | ||||
\(900\) | −17.5010 | + | 13.4405i | −0.583366 | + | 0.448015i | ||||
\(901\) | −11.3186 | − | 37.3123i | −0.377076 | − | 1.24305i | ||||
\(902\) | −0.964129 | + | 0.249683i | −0.0321020 | + | 0.00831353i | ||||
\(903\) | 2.42389 | − | 5.47440i | 0.0806620 | − | 0.182177i | ||||
\(904\) | −20.6388 | − | 17.8261i | −0.686436 | − | 0.592888i | ||||
\(905\) | −18.3814 | + | 3.65629i | −0.611019 | + | 0.121539i | ||||
\(906\) | −25.9892 | + | 41.8132i | −0.863432 | + | 1.38915i | ||||
\(907\) | −1.43198 | − | 0.141038i | −0.0475481 | − | 0.00468308i | 0.0742151 | − | 0.997242i | \(-0.476355\pi\) |
−0.121763 | + | 0.992559i | \(0.538855\pi\) | |||||||
\(908\) | 6.21783 | + | 14.3595i | 0.206346 | + | 0.476538i | ||||
\(909\) | −16.2031 | + | 17.9075i | −0.537422 | + | 0.593954i | ||||
\(910\) | −7.30050 | − | 7.92699i | −0.242009 | − | 0.262777i | ||||
\(911\) | 13.1169 | − | 31.6671i | 0.434584 | − | 1.04918i | −0.543208 | − | 0.839598i | \(-0.682790\pi\) |
0.977792 | − | 0.209580i | \(-0.0672097\pi\) | |||||||
\(912\) | 8.51176 | + | 41.1235i | 0.281852 | + | 1.36173i | ||||
\(913\) | 0.0541425 | + | 0.130711i | 0.00179185 | + | 0.00432592i | ||||
\(914\) | 2.81336 | − | 6.07309i | 0.0930578 | − | 0.200880i | ||||
\(915\) | 15.8508 | + | 57.1840i | 0.524010 | + | 1.89044i | ||||
\(916\) | −49.6003 | − | 9.04690i | −1.63884 | − | 0.298918i | ||||
\(917\) | 0.513325 | − | 0.421275i | 0.0169515 | − | 0.0139117i | ||||
\(918\) | −41.9612 | + | 7.68041i | −1.38493 | + | 0.253491i | ||||
\(919\) | −38.6469 | − | 25.8230i | −1.27484 | − | 0.851823i | −0.280690 | − | 0.959799i | \(-0.590563\pi\) |
−0.994154 | + | 0.107976i | \(0.965563\pi\) | |||||||
\(920\) | 0.675355 | − | 0.957630i | 0.0222658 | − | 0.0315721i | ||||
\(921\) | 8.28037 | − | 3.19808i | 0.272848 | − | 0.105380i | ||||
\(922\) | 32.3091 | − | 24.3635i | 1.06404 | − | 0.802369i | ||||
\(923\) | 4.16125 | − | 7.78515i | 0.136969 | − | 0.256251i | ||||
\(924\) | 0.822263 | + | 1.01883i | 0.0270505 | + | 0.0335170i | ||||
\(925\) | 23.8478 | − | 2.34881i | 0.784112 | − | 0.0772283i | ||||
\(926\) | 12.1443 | + | 19.9001i | 0.399085 | + | 0.653959i | ||||
\(927\) | 13.4207 | − | 4.81470i | 0.440793 | − | 0.158135i | ||||
\(928\) | 42.0246 | − | 3.74709i | 1.37953 | − | 0.123004i | ||||
\(929\) | −13.6475 | − | 13.6475i | −0.447759 | − | 0.447759i | 0.446850 | − | 0.894609i | \(-0.352546\pi\) |
−0.894609 | + | 0.446850i | \(0.852546\pi\) | |||||||
\(930\) | 12.1301 | + | 5.97878i | 0.397761 | + | 0.196052i | ||||
\(931\) | 39.0854 | − | 3.84958i | 1.28097 | − | 0.126165i | ||||
\(932\) | 3.52934 | − | 12.3392i | 0.115607 | − | 0.404185i | ||||
\(933\) | −11.0567 | + | 12.8286i | −0.361980 | + | 0.419991i | ||||
\(934\) | −2.07762 | + | 14.8188i | −0.0679817 | + | 0.484885i | ||||
\(935\) | 4.97640 | + | 7.44771i | 0.162746 | + | 0.243566i | ||||
\(936\) | −23.0306 | + | 19.8743i | −0.752777 | + | 0.649613i | ||||
\(937\) | −10.8803 | − | 7.27000i | −0.355445 | − | 0.237501i | 0.365008 | − | 0.931004i | \(-0.381066\pi\) |
−0.720453 | + | 0.693504i | \(0.756066\pi\) | |||||||
\(938\) | −0.637176 | − | 11.1555i | −0.0208045 | − | 0.364240i | ||||
\(939\) | −4.99133 | − | 9.90572i | −0.162886 | − | 0.323261i | ||||
\(940\) | 11.8632 | + | 7.65614i | 0.386936 | + | 0.249716i | ||||
\(941\) | 24.1853 | + | 45.2475i | 0.788419 | + | 1.47503i | 0.877799 | + | 0.479030i | \(0.159011\pi\) |
−0.0893800 | + | 0.995998i | \(0.528489\pi\) | |||||||
\(942\) | −3.75828 | − | 28.5015i | −0.122451 | − | 0.928628i | ||||
\(943\) | 0.0723605 | + | 0.174694i | 0.00235638 | + | 0.00568881i | ||||
\(944\) | −29.7483 | + | 38.7005i | −0.968225 | + | 1.25959i | ||||
\(945\) | −9.60291 | + | 5.45595i | −0.312383 | + | 0.177482i | ||||
\(946\) | −0.145877 | + | 3.54568i | −0.00474287 | + | 0.115280i | ||||
\(947\) | −11.6424 | + | 38.3797i | −0.378326 | + | 1.24717i | 0.536698 | + | 0.843774i | \(0.319671\pi\) |
−0.915024 | + | 0.403399i | \(0.867829\pi\) | |||||||
\(948\) | −4.75265 | + | 3.11964i | −0.154359 | + | 0.101321i | ||||
\(949\) | −42.0941 | − | 4.14591i | −1.36643 | − | 0.134582i | ||||
\(950\) | 13.7060 | + | 28.3913i | 0.444681 | + | 0.921135i | ||||
\(951\) | 1.73217 | + | 0.0417957i | 0.0561695 | + | 0.00135532i | ||||
\(952\) | −1.45774 | + | 11.7572i | −0.0472455 | + | 0.381053i | ||||
\(953\) | 9.14144 | + | 1.81835i | 0.296120 | + | 0.0589020i | 0.340915 | − | 0.940094i | \(-0.389263\pi\) |
−0.0447943 | + | 0.998996i | \(0.514263\pi\) | |||||||
\(954\) | −23.5539 | + | 16.0400i | −0.762585 | + | 0.519315i | ||||
\(955\) | −18.2564 | − | 60.1834i | −0.590764 | − | 1.94749i | ||||
\(956\) | −30.4296 | + | 25.7953i | −0.984164 | + | 0.834280i | ||||
\(957\) | 5.33274 | − | 4.16531i | 0.172383 | − | 0.134645i | ||||
\(958\) | 1.66572 | + | 10.6443i | 0.0538169 | + | 0.343901i | ||||
\(959\) | − | 15.7377i | − | 0.508197i | ||||||
\(960\) | 38.7690 | − | 12.7707i | 1.25127 | − | 0.412172i | ||||
\(961\) | 27.4875i | 0.886693i | ||||||||
\(962\) | 32.6379 | − | 5.10748i | 1.05229 | − | 0.164672i | ||||
\(963\) | −38.5750 | + | 18.2842i | −1.24306 | + | 0.589201i | ||||
\(964\) | −10.9942 | − | 0.906184i | −0.354099 | − | 0.0291862i | ||||
\(965\) | −2.34016 | − | 7.71448i | −0.0753325 | − | 0.248338i | ||||
\(966\) | 0.169884 | − | 0.181459i | 0.00546594 | − | 0.00583834i | ||||
\(967\) | 14.1254 | + | 2.80971i | 0.454242 | + | 0.0903543i | 0.416908 | − | 0.908949i | \(-0.363114\pi\) |
0.0373335 | + | 0.999303i | \(0.488114\pi\) | |||||||
\(968\) | 26.3860 | + | 14.9697i | 0.848078 | + | 0.481146i | ||||
\(969\) | −1.47014 | + | 60.9283i | −0.0472278 | + | 1.95730i | ||||
\(970\) | 64.1926 | − | 30.9891i | 2.06110 | − | 0.995001i | ||||
\(971\) | −46.0208 | − | 4.53266i | −1.47688 | − | 0.145460i | −0.672730 | − | 0.739888i | \(-0.734879\pi\) |
−0.804149 | + | 0.594428i | \(0.797379\pi\) | |||||||
\(972\) | 14.5174 | + | 27.5907i | 0.465645 | + | 0.884972i | ||||
\(973\) | −2.12075 | + | 6.99117i | −0.0679880 | + | 0.224127i | ||||
\(974\) | 43.3177 | + | 1.78219i | 1.38799 | + | 0.0571049i | ||||
\(975\) | −13.1419 | + | 18.6768i | −0.420879 | + | 0.598135i | ||||
\(976\) | 3.08212 | − | 46.4183i | 0.0986562 | − | 1.48581i | ||||
\(977\) | −8.43641 | − | 20.3673i | −0.269905 | − | 0.651608i | 0.729574 | − | 0.683902i | \(-0.239719\pi\) |
−0.999478 | + | 0.0322946i | \(0.989719\pi\) | |||||||
\(978\) | −4.62953 | − | 35.1088i | −0.148036 | − | 1.12266i | ||||
\(979\) | 3.05797 | + | 5.72106i | 0.0977332 | + | 0.182846i | ||||
\(980\) | −8.04306 | − | 37.3170i | −0.256926 | − | 1.19205i | ||||
\(981\) | 17.1060 | − | 4.30008i | 0.546153 | − | 0.137291i | ||||
\(982\) | −39.7496 | + | 2.27041i | −1.26846 | + | 0.0724516i | ||||
\(983\) | 31.1095 | + | 20.7867i | 0.992239 | + | 0.662993i | 0.941954 | − | 0.335742i | \(-0.108987\pi\) |
0.0502852 | + | 0.998735i | \(0.483987\pi\) | |||||||
\(984\) | −1.60179 | + | 6.38877i | −0.0510633 | + | 0.203667i | ||||
\(985\) | 7.79261 | + | 11.6625i | 0.248293 | + | 0.371597i | ||||
\(986\) | 60.6378 | + | 8.50152i | 1.93110 | + | 0.270744i | ||||
\(987\) | 2.26869 | + | 1.95533i | 0.0722132 | + | 0.0622387i | ||||
\(988\) | 21.0959 | + | 37.9983i | 0.671149 | + | 1.20889i | ||||
\(989\) | 0.670503 | − | 0.0660388i | 0.0213208 | − | 0.00209991i | ||||
\(990\) | 4.10830 | − | 5.09686i | 0.130570 | − | 0.161989i | ||||
\(991\) | 23.4405 | + | 23.4405i | 0.744613 | + | 0.744613i | 0.973462 | − | 0.228849i | \(-0.0734961\pi\) |
−0.228849 | + | 0.973462i | \(0.573496\pi\) | |||||||
\(992\) | −7.42705 | − | 7.56568i | −0.235809 | − | 0.240210i | ||||
\(993\) | 19.3088 | + | 30.4637i | 0.612748 | + | 0.966737i | ||||
\(994\) | −2.14475 | + | 1.30885i | −0.0680273 | + | 0.0415143i | ||||
\(995\) | 40.5178 | − | 3.99065i | 1.28450 | − | 0.126512i | ||||
\(996\) | 0.930382 | + | 0.0993327i | 0.0294803 | + | 0.00314748i | ||||
\(997\) | 6.39729 | − | 11.9685i | 0.202604 | − | 0.379046i | −0.760014 | − | 0.649906i | \(-0.774808\pi\) |
0.962619 | + | 0.270860i | \(0.0873082\pi\) | |||||||
\(998\) | −1.05470 | − | 1.39867i | −0.0333861 | − | 0.0442742i | ||||
\(999\) | 2.44818 | − | 33.7681i | 0.0774569 | − | 1.06837i |
(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 | 384.2.w.a.107.18 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.107.45 | yes | 992 | |
128.67 | odd | 32 | inner | 384.2.w.a.323.45 | yes | 992 | |
384.323 | even | 32 | inner | 384.2.w.a.323.18 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.107.18 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.107.45 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.323.18 | yes | 992 | 384.323 | even | 32 | inner | |
384.2.w.a.323.45 | yes | 992 | 128.67 | odd | 32 | inner |