Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 337.2 | ||
Root | \(0.500000 - 1.00210i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.337 |
Dual form | 378.2.u.b.295.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | 1.65667 | + | 0.505425i | 0.956477 | + | 0.291807i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 1.31259 | + | 1.10139i | 0.587006 | + | 0.492557i | 0.887240 | − | 0.461309i | \(-0.152620\pi\) |
−0.300233 | + | 0.953866i | \(0.597064\pi\) | |||||||
\(6\) | −0.210069 | + | 1.71926i | −0.0857604 | + | 0.701887i | ||||
\(7\) | −0.939693 | − | 0.342020i | −0.355170 | − | 0.129271i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.48909 | + | 1.67464i | 0.829697 | + | 0.558214i | ||||
\(10\) | −0.856730 | + | 1.48390i | −0.270922 | + | 0.469250i | ||||
\(11\) | −0.960783 | + | 0.806193i | −0.289687 | + | 0.243076i | −0.776036 | − | 0.630688i | \(-0.782773\pi\) |
0.486349 | + | 0.873764i | \(0.338328\pi\) | |||||||
\(12\) | −1.72962 | + | 0.0916693i | −0.499299 | + | 0.0264626i | ||||
\(13\) | −0.652160 | + | 3.69858i | −0.180877 | + | 1.02580i | 0.750263 | + | 0.661140i | \(0.229927\pi\) |
−0.931140 | + | 0.364663i | \(0.881184\pi\) | |||||||
\(14\) | 0.173648 | − | 0.984808i | 0.0464094 | − | 0.263201i | ||||
\(15\) | 1.61785 | + | 2.48805i | 0.417726 | + | 0.642412i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 3.04828 | − | 5.27978i | 0.739317 | − | 1.28053i | −0.213486 | − | 0.976946i | \(-0.568482\pi\) |
0.952803 | − | 0.303588i | \(-0.0981848\pi\) | |||||||
\(18\) | −1.21697 | + | 2.74207i | −0.286844 | + | 0.646313i | ||||
\(19\) | 1.39513 | + | 2.41644i | 0.320065 | + | 0.554368i | 0.980501 | − | 0.196514i | \(-0.0629620\pi\) |
−0.660436 | + | 0.750882i | \(0.729629\pi\) | |||||||
\(20\) | −1.61013 | − | 0.586038i | −0.360035 | − | 0.131042i | ||||
\(21\) | −1.38389 | − | 1.04156i | −0.301990 | − | 0.227287i | ||||
\(22\) | −0.960783 | − | 0.806193i | −0.204840 | − | 0.171881i | ||||
\(23\) | −2.42118 | + | 0.881236i | −0.504850 | + | 0.183750i | −0.581874 | − | 0.813279i | \(-0.697680\pi\) |
0.0770242 | + | 0.997029i | \(0.475458\pi\) | |||||||
\(24\) | −0.390623 | − | 1.68743i | −0.0797355 | − | 0.344445i | ||||
\(25\) | −0.358420 | − | 2.03270i | −0.0716839 | − | 0.406540i | ||||
\(26\) | −3.75564 | −0.736542 | ||||||||
\(27\) | 3.27719 | + | 4.03237i | 0.630695 | + | 0.776031i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −0.744954 | − | 4.22485i | −0.138335 | − | 0.784534i | −0.972479 | − | 0.232989i | \(-0.925149\pi\) |
0.834145 | − | 0.551545i | \(-0.185962\pi\) | |||||||
\(30\) | −2.16932 | + | 2.02531i | −0.396061 | + | 0.369770i | ||||
\(31\) | −1.67121 | + | 0.608270i | −0.300158 | + | 0.109249i | −0.487709 | − | 0.873006i | \(-0.662167\pi\) |
0.187551 | + | 0.982255i | \(0.439945\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | −1.99917 | + | 0.849989i | −0.348010 | + | 0.147964i | ||||
\(34\) | 5.72890 | + | 2.08515i | 0.982497 | + | 0.357600i | ||||
\(35\) | −0.856730 | − | 1.48390i | −0.144814 | − | 0.250825i | ||||
\(36\) | −2.91174 | − | 0.722330i | −0.485290 | − | 0.120388i | ||||
\(37\) | 0.699704 | − | 1.21192i | 0.115031 | − | 0.199239i | −0.802761 | − | 0.596300i | \(-0.796637\pi\) |
0.917792 | + | 0.397062i | \(0.129970\pi\) | |||||||
\(38\) | −2.13746 | + | 1.79354i | −0.346742 | + | 0.290951i | ||||
\(39\) | −2.94977 | + | 5.79770i | −0.472341 | + | 0.928375i | ||||
\(40\) | 0.297539 | − | 1.68743i | 0.0470451 | − | 0.266806i | ||||
\(41\) | 0.568290 | − | 3.22293i | 0.0887519 | − | 0.503337i | −0.907732 | − | 0.419551i | \(-0.862188\pi\) |
0.996484 | − | 0.0837863i | \(-0.0267013\pi\) | |||||||
\(42\) | 0.785424 | − | 1.54373i | 0.121194 | − | 0.238203i | ||||
\(43\) | 5.86201 | − | 4.91881i | 0.893949 | − | 0.750112i | −0.0750495 | − | 0.997180i | \(-0.523911\pi\) |
0.968998 | + | 0.247068i | \(0.0794670\pi\) | |||||||
\(44\) | 0.627106 | − | 1.08618i | 0.0945399 | − | 0.163748i | ||||
\(45\) | 1.42271 | + | 4.93957i | 0.212085 | + | 0.736348i | ||||
\(46\) | −1.28828 | − | 2.23137i | −0.189947 | − | 0.328997i | ||||
\(47\) | −6.56218 | − | 2.38844i | −0.957193 | − | 0.348390i | −0.184260 | − | 0.982878i | \(-0.558989\pi\) |
−0.772933 | + | 0.634488i | \(0.781211\pi\) | |||||||
\(48\) | 1.59396 | − | 0.677707i | 0.230069 | − | 0.0978186i | ||||
\(49\) | 0.766044 | + | 0.642788i | 0.109435 | + | 0.0918268i | ||||
\(50\) | 1.93958 | − | 0.705949i | 0.274298 | − | 0.0998362i | ||||
\(51\) | 7.71852 | − | 7.20616i | 1.08081 | − | 1.00906i | ||||
\(52\) | −0.652160 | − | 3.69858i | −0.0904383 | − | 0.512901i | ||||
\(53\) | −3.54440 | −0.486861 | −0.243431 | − | 0.969918i | \(-0.578273\pi\) | ||||
−0.243431 | + | 0.969918i | \(0.578273\pi\) | |||||||
\(54\) | −3.40203 | + | 3.92762i | −0.462958 | + | 0.534481i | ||||
\(55\) | −2.14904 | −0.289777 | ||||||||
\(56\) | 0.173648 | + | 0.984808i | 0.0232047 | + | 0.131600i | ||||
\(57\) | 1.08994 | + | 4.70836i | 0.144366 | + | 0.623638i | ||||
\(58\) | 4.03130 | − | 1.46727i | 0.529336 | − | 0.192662i | ||||
\(59\) | −6.26285 | − | 5.25516i | −0.815354 | − | 0.684163i | 0.136525 | − | 0.990637i | \(-0.456407\pi\) |
−0.951879 | + | 0.306473i | \(0.900851\pi\) | |||||||
\(60\) | −2.37124 | − | 1.78467i | −0.306126 | − | 0.230400i | ||||
\(61\) | 10.9885 | + | 3.99950i | 1.40694 | + | 0.512083i | 0.930229 | − | 0.366979i | \(-0.119608\pi\) |
0.476708 | + | 0.879062i | \(0.341830\pi\) | |||||||
\(62\) | −0.889232 | − | 1.54019i | −0.112933 | − | 0.195605i | ||||
\(63\) | −1.76622 | − | 2.42497i | −0.222523 | − | 0.305517i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −4.92960 | + | 4.13643i | −0.611442 | + | 0.513061i | ||||
\(66\) | −1.18423 | − | 1.82120i | −0.145768 | − | 0.224174i | ||||
\(67\) | −2.70516 | + | 15.3417i | −0.330488 | + | 1.87429i | 0.137422 | + | 0.990513i | \(0.456118\pi\) |
−0.467910 | + | 0.883776i | \(0.654993\pi\) | |||||||
\(68\) | −1.05866 | + | 6.00394i | −0.128381 | + | 0.728085i | ||||
\(69\) | −4.45648 | + | 0.236191i | −0.536497 | + | 0.0284341i | ||||
\(70\) | 1.31259 | − | 1.10139i | 0.156884 | − | 0.131641i | ||||
\(71\) | 5.68458 | − | 9.84598i | 0.674635 | − | 1.16850i | −0.301940 | − | 0.953327i | \(-0.597634\pi\) |
0.976575 | − | 0.215176i | \(-0.0690324\pi\) | |||||||
\(72\) | 0.205737 | − | 2.99294i | 0.0242463 | − | 0.352721i | ||||
\(73\) | −3.34614 | − | 5.79569i | −0.391636 | − | 0.678334i | 0.601029 | − | 0.799227i | \(-0.294757\pi\) |
−0.992666 | + | 0.120893i | \(0.961424\pi\) | |||||||
\(74\) | 1.31501 | + | 0.478626i | 0.152867 | + | 0.0556391i | ||||
\(75\) | 0.433595 | − | 3.54866i | 0.0500672 | − | 0.409764i | ||||
\(76\) | −2.13746 | − | 1.79354i | −0.245184 | − | 0.205734i | ||||
\(77\) | 1.17857 | − | 0.428966i | 0.134311 | − | 0.0488852i | ||||
\(78\) | −6.22184 | − | 1.89819i | −0.704485 | − | 0.214928i | ||||
\(79\) | −0.215477 | − | 1.22203i | −0.0242430 | − | 0.137489i | 0.970284 | − | 0.241969i | \(-0.0777932\pi\) |
−0.994527 | + | 0.104480i | \(0.966682\pi\) | |||||||
\(80\) | 1.71346 | 0.191571 | ||||||||
\(81\) | 3.39115 | + | 8.33667i | 0.376794 | + | 0.926297i | ||||
\(82\) | 3.27265 | 0.361404 | ||||||||
\(83\) | −0.957482 | − | 5.43015i | −0.105097 | − | 0.596037i | −0.991181 | − | 0.132512i | \(-0.957696\pi\) |
0.886084 | − | 0.463525i | \(-0.153415\pi\) | |||||||
\(84\) | 1.65667 | + | 0.505425i | 0.180757 | + | 0.0551464i | ||||
\(85\) | 9.81623 | − | 3.57282i | 1.06472 | − | 0.387526i | ||||
\(86\) | 5.86201 | + | 4.91881i | 0.632117 | + | 0.530409i | ||||
\(87\) | 0.901202 | − | 7.37568i | 0.0966190 | − | 0.790756i | ||||
\(88\) | 1.17857 | + | 0.428966i | 0.125636 | + | 0.0457279i | ||||
\(89\) | −8.40393 | − | 14.5560i | −0.890815 | − | 1.54294i | −0.838900 | − | 0.544286i | \(-0.816801\pi\) |
−0.0519154 | − | 0.998651i | \(-0.516533\pi\) | |||||||
\(90\) | −4.61748 | + | 2.25885i | −0.486725 | + | 0.238103i | ||||
\(91\) | 1.87782 | − | 3.25248i | 0.196849 | − | 0.340953i | ||||
\(92\) | 1.97376 | − | 1.65618i | 0.205779 | − | 0.172669i | ||||
\(93\) | −3.07607 | + | 0.163030i | −0.318974 | + | 0.0169055i | ||||
\(94\) | 1.21264 | − | 6.87724i | 0.125074 | − | 0.709333i | ||||
\(95\) | −0.830211 | + | 4.70836i | −0.0851779 | + | 0.483068i | ||||
\(96\) | 0.944200 | + | 1.45206i | 0.0963670 | + | 0.148201i | ||||
\(97\) | 11.1167 | − | 9.32799i | 1.12873 | − | 0.947114i | 0.129714 | − | 0.991551i | \(-0.458594\pi\) |
0.999012 | + | 0.0444373i | \(0.0141495\pi\) | |||||||
\(98\) | −0.500000 | + | 0.866025i | −0.0505076 | + | 0.0874818i | ||||
\(99\) | −3.74156 | + | 0.397719i | −0.376041 | + | 0.0399723i | ||||
\(100\) | 1.03203 | + | 1.78753i | 0.103203 | + | 0.178753i | ||||
\(101\) | 12.7918 | + | 4.65583i | 1.27283 | + | 0.463272i | 0.888055 | − | 0.459738i | \(-0.152057\pi\) |
0.384775 | + | 0.923010i | \(0.374279\pi\) | |||||||
\(102\) | 8.43699 | + | 6.34992i | 0.835386 | + | 0.628736i | ||||
\(103\) | −0.375422 | − | 0.315016i | −0.0369914 | − | 0.0310395i | 0.624105 | − | 0.781341i | \(-0.285464\pi\) |
−0.661096 | + | 0.750301i | \(0.729908\pi\) | |||||||
\(104\) | 3.52915 | − | 1.28450i | 0.346061 | − | 0.125956i | ||||
\(105\) | −0.669316 | − | 2.89134i | −0.0653185 | − | 0.282166i | ||||
\(106\) | −0.615479 | − | 3.49056i | −0.0597806 | − | 0.339033i | ||||
\(107\) | 4.10282 | 0.396635 | 0.198317 | − | 0.980138i | \(-0.436452\pi\) | ||||
0.198317 | + | 0.980138i | \(0.436452\pi\) | |||||||
\(108\) | −4.45870 | − | 2.66833i | −0.429039 | − | 0.256760i | ||||
\(109\) | −10.5320 | −1.00878 | −0.504390 | − | 0.863476i | \(-0.668283\pi\) | ||||
−0.504390 | + | 0.863476i | \(0.668283\pi\) | |||||||
\(110\) | −0.373177 | − | 2.11639i | −0.0355811 | − | 0.201790i | ||||
\(111\) | 1.77171 | − | 1.65410i | 0.168164 | − | 0.157001i | ||||
\(112\) | −0.939693 | + | 0.342020i | −0.0887926 | + | 0.0323179i | ||||
\(113\) | 5.22859 | + | 4.38731i | 0.491865 | + | 0.412723i | 0.854694 | − | 0.519132i | \(-0.173745\pi\) |
−0.362829 | + | 0.931856i | \(0.618189\pi\) | |||||||
\(114\) | −4.44757 | + | 1.89098i | −0.416553 | + | 0.177106i | ||||
\(115\) | −4.14859 | − | 1.50996i | −0.386858 | − | 0.140805i | ||||
\(116\) | 2.14501 | + | 3.71527i | 0.199159 | + | 0.344954i | ||||
\(117\) | −7.81709 | + | 8.11398i | −0.722690 | + | 0.750137i | ||||
\(118\) | 4.08779 | − | 7.08026i | 0.376311 | − | 0.651790i | ||||
\(119\) | −4.67024 | + | 3.91880i | −0.428120 | + | 0.359235i | ||||
\(120\) | 1.34579 | − | 2.64512i | 0.122853 | − | 0.241466i | ||||
\(121\) | −1.63697 | + | 9.28373i | −0.148816 | + | 0.843976i | ||||
\(122\) | −2.03060 | + | 11.5161i | −0.183842 | + | 1.04262i | ||||
\(123\) | 2.57042 | − | 5.05209i | 0.231767 | − | 0.455532i | ||||
\(124\) | 1.36238 | − | 1.14317i | 0.122346 | − | 0.102660i | ||||
\(125\) | 6.05199 | − | 10.4823i | 0.541306 | − | 0.937570i | ||||
\(126\) | 2.08143 | − | 2.16048i | 0.185428 | − | 0.192471i | ||||
\(127\) | 3.33416 | + | 5.77494i | 0.295859 | + | 0.512443i | 0.975184 | − | 0.221394i | \(-0.0710607\pi\) |
−0.679325 | + | 0.733837i | \(0.737727\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 12.1975 | − | 5.18603i | 1.07393 | − | 0.456604i | ||||
\(130\) | −4.92960 | − | 4.13643i | −0.432355 | − | 0.362789i | ||||
\(131\) | 0.116911 | − | 0.0425522i | 0.0102146 | − | 0.00371780i | −0.336908 | − | 0.941538i | \(-0.609381\pi\) |
0.347122 | + | 0.937820i | \(0.387159\pi\) | |||||||
\(132\) | 1.58789 | − | 1.48248i | 0.138208 | − | 0.129034i | ||||
\(133\) | −0.484523 | − | 2.74787i | −0.0420135 | − | 0.238270i | ||||
\(134\) | −15.5784 | −1.34577 | ||||||||
\(135\) | −0.139625 | + | 8.90230i | −0.0120170 | + | 0.766188i | ||||
\(136\) | −6.09656 | −0.522776 | ||||||||
\(137\) | −0.543640 | − | 3.08313i | −0.0464463 | − | 0.263410i | 0.952738 | − | 0.303793i | \(-0.0982532\pi\) |
−0.999184 | + | 0.0403833i | \(0.987142\pi\) | |||||||
\(138\) | −1.00646 | − | 4.34776i | −0.0856758 | − | 0.370106i | ||||
\(139\) | −6.99391 | + | 2.54557i | −0.593215 | + | 0.215913i | −0.621143 | − | 0.783697i | \(-0.713331\pi\) |
0.0279276 | + | 0.999610i | \(0.491109\pi\) | |||||||
\(140\) | 1.31259 | + | 1.10139i | 0.110934 | + | 0.0930845i | ||||
\(141\) | −9.66417 | − | 7.27354i | −0.813870 | − | 0.612542i | ||||
\(142\) | 10.6835 | + | 3.88848i | 0.896540 | + | 0.326314i | ||||
\(143\) | −2.35519 | − | 4.07930i | −0.196951 | − | 0.341128i | ||||
\(144\) | 2.98319 | − | 0.317107i | 0.248599 | − | 0.0264256i | ||||
\(145\) | 3.67539 | − | 6.36596i | 0.305224 | − | 0.528664i | ||||
\(146\) | 5.12659 | − | 4.30172i | 0.424279 | − | 0.356013i | ||||
\(147\) | 0.944200 | + | 1.45206i | 0.0778763 | + | 0.119764i | ||||
\(148\) | −0.243005 | + | 1.37815i | −0.0199749 | + | 0.113283i | ||||
\(149\) | −2.78633 | + | 15.8020i | −0.228265 | + | 1.29455i | 0.628080 | + | 0.778149i | \(0.283841\pi\) |
−0.856345 | + | 0.516405i | \(0.827270\pi\) | |||||||
\(150\) | 3.57004 | − | 0.189211i | 0.291493 | − | 0.0154490i | ||||
\(151\) | −13.3844 | + | 11.2309i | −1.08921 | + | 0.913955i | −0.996653 | − | 0.0817521i | \(-0.973948\pi\) |
−0.0925568 | + | 0.995707i | \(0.529504\pi\) | |||||||
\(152\) | 1.39513 | − | 2.41644i | 0.113160 | − | 0.195999i | ||||
\(153\) | 16.4292 | − | 8.03707i | 1.32822 | − | 0.649759i | ||||
\(154\) | 0.627106 | + | 1.08618i | 0.0505337 | + | 0.0875269i | ||||
\(155\) | −2.86355 | − | 1.04225i | −0.230006 | − | 0.0837153i | ||||
\(156\) | 0.788945 | − | 6.45694i | 0.0631661 | − | 0.516969i | ||||
\(157\) | −8.98089 | − | 7.53586i | −0.716753 | − | 0.601427i | 0.209732 | − | 0.977759i | \(-0.432741\pi\) |
−0.926485 | + | 0.376332i | \(0.877185\pi\) | |||||||
\(158\) | 1.16605 | − | 0.424406i | 0.0927656 | − | 0.0337639i | ||||
\(159\) | −5.87190 | − | 1.79143i | −0.465672 | − | 0.142070i | ||||
\(160\) | 0.297539 | + | 1.68743i | 0.0235225 | + | 0.133403i | ||||
\(161\) | 2.57656 | 0.203061 | ||||||||
\(162\) | −7.62115 | + | 4.78728i | −0.598774 | + | 0.376124i | ||||
\(163\) | −24.0423 | −1.88314 | −0.941568 | − | 0.336822i | \(-0.890648\pi\) | ||||
−0.941568 | + | 0.336822i | \(0.890648\pi\) | |||||||
\(164\) | 0.568290 | + | 3.22293i | 0.0443760 | + | 0.251669i | ||||
\(165\) | −3.56025 | − | 1.08618i | −0.277165 | − | 0.0845590i | ||||
\(166\) | 5.18139 | − | 1.88587i | 0.402154 | − | 0.146372i | ||||
\(167\) | −5.63531 | − | 4.72858i | −0.436073 | − | 0.365909i | 0.398164 | − | 0.917314i | \(-0.369647\pi\) |
−0.834237 | + | 0.551405i | \(0.814092\pi\) | |||||||
\(168\) | −0.210069 | + | 1.71926i | −0.0162072 | + | 0.132644i | ||||
\(169\) | −1.03820 | − | 0.377875i | −0.0798617 | − | 0.0290673i | ||||
\(170\) | 5.22311 | + | 9.04669i | 0.400594 | + | 0.693849i | ||||
\(171\) | −0.574060 | + | 8.35107i | −0.0438994 | + | 0.638622i | ||||
\(172\) | −3.82616 | + | 6.62710i | −0.291742 | + | 0.505312i | ||||
\(173\) | −15.9462 | + | 13.3804i | −1.21237 | + | 1.01730i | −0.213177 | + | 0.977014i | \(0.568381\pi\) |
−0.999188 | + | 0.0402822i | \(0.987174\pi\) | |||||||
\(174\) | 7.42012 | − | 0.393263i | 0.562518 | − | 0.0298132i | ||||
\(175\) | −0.358420 | + | 2.03270i | −0.0270940 | + | 0.153658i | ||||
\(176\) | −0.217792 | + | 1.23516i | −0.0164167 | + | 0.0931036i | ||||
\(177\) | −7.71938 | − | 11.8715i | −0.580224 | − | 0.892313i | ||||
\(178\) | 12.8756 | − | 10.8039i | 0.965065 | − | 0.809786i | ||||
\(179\) | −4.93356 | + | 8.54517i | −0.368751 | + | 0.638696i | −0.989371 | − | 0.145416i | \(-0.953548\pi\) |
0.620619 | + | 0.784112i | \(0.286881\pi\) | |||||||
\(180\) | −3.02634 | − | 4.15508i | −0.225570 | − | 0.309702i | ||||
\(181\) | 0.189393 | + | 0.328038i | 0.0140775 | + | 0.0243829i | 0.872978 | − | 0.487759i | \(-0.162186\pi\) |
−0.858901 | + | 0.512142i | \(0.828852\pi\) | |||||||
\(182\) | 3.52915 | + | 1.28450i | 0.261598 | + | 0.0952138i | ||||
\(183\) | 16.1829 | + | 12.1797i | 1.19627 | + | 0.900350i | ||||
\(184\) | 1.97376 | + | 1.65618i | 0.145508 | + | 0.122095i | ||||
\(185\) | 2.25322 | − | 0.820106i | 0.165660 | − | 0.0602954i | ||||
\(186\) | −0.694708 | − | 3.00103i | −0.0509385 | − | 0.220046i | ||||
\(187\) | 1.32778 | + | 7.53022i | 0.0970970 | + | 0.550664i | ||||
\(188\) | 6.98333 | 0.509312 | ||||||||
\(189\) | −1.70040 | − | 4.91006i | −0.123686 | − | 0.357154i | ||||
\(190\) | −4.78100 | −0.346850 | ||||||||
\(191\) | 2.26465 | + | 12.8435i | 0.163865 | + | 0.929322i | 0.950227 | + | 0.311557i | \(0.100851\pi\) |
−0.786363 | + | 0.617765i | \(0.788038\pi\) | |||||||
\(192\) | −1.26604 | + | 1.18200i | −0.0913689 | + | 0.0853037i | ||||
\(193\) | 14.2127 | − | 5.17299i | 1.02305 | − | 0.372360i | 0.224620 | − | 0.974446i | \(-0.427886\pi\) |
0.798431 | + | 0.602087i | \(0.205664\pi\) | |||||||
\(194\) | 11.1167 | + | 9.32799i | 0.798130 | + | 0.669711i | ||||
\(195\) | −10.2574 | + | 4.36114i | −0.734545 | + | 0.312308i | ||||
\(196\) | −0.939693 | − | 0.342020i | −0.0671209 | − | 0.0244300i | ||||
\(197\) | 10.4828 | + | 18.1567i | 0.746868 | + | 1.29361i | 0.949317 | + | 0.314320i | \(0.101777\pi\) |
−0.202449 | + | 0.979293i | \(0.564890\pi\) | |||||||
\(198\) | −1.04139 | − | 3.61565i | −0.0740085 | − | 0.256953i | ||||
\(199\) | −9.49884 | + | 16.4525i | −0.673355 | + | 1.16628i | 0.303592 | + | 0.952802i | \(0.401814\pi\) |
−0.976947 | + | 0.213483i | \(0.931519\pi\) | |||||||
\(200\) | −1.58116 | + | 1.32675i | −0.111805 | + | 0.0938154i | ||||
\(201\) | −12.2356 | + | 24.0489i | −0.863035 | + | 1.69628i | ||||
\(202\) | −2.36383 | + | 13.4059i | −0.166318 | + | 0.943237i | ||||
\(203\) | −0.744954 | + | 4.22485i | −0.0522855 | + | 0.296526i | ||||
\(204\) | −4.78839 | + | 9.41146i | −0.335254 | + | 0.658934i | ||||
\(205\) | 4.29563 | − | 3.60446i | 0.300020 | − | 0.251747i | ||||
\(206\) | 0.245039 | − | 0.424420i | 0.0170727 | − | 0.0295708i | ||||
\(207\) | −7.50228 | − | 1.86113i | −0.521444 | − | 0.129357i | ||||
\(208\) | 1.87782 | + | 3.25248i | 0.130203 | + | 0.225519i | ||||
\(209\) | −3.28853 | − | 1.19693i | −0.227472 | − | 0.0827931i | ||||
\(210\) | 2.73119 | − | 1.16122i | 0.188470 | − | 0.0801320i | ||||
\(211\) | 15.7543 | + | 13.2194i | 1.08457 | + | 0.910063i | 0.996292 | − | 0.0860332i | \(-0.0274191\pi\) |
0.0882782 | + | 0.996096i | \(0.471864\pi\) | |||||||
\(212\) | 3.33065 | − | 1.21226i | 0.228750 | − | 0.0832582i | ||||
\(213\) | 14.3939 | − | 13.4384i | 0.986251 | − | 0.920782i | ||||
\(214\) | 0.712448 | + | 4.04049i | 0.0487019 | + | 0.276202i | ||||
\(215\) | 13.1119 | 0.894226 | ||||||||
\(216\) | 1.85354 | − | 4.85432i | 0.126118 | − | 0.330294i | ||||
\(217\) | 1.77846 | 0.120730 | ||||||||
\(218\) | −1.82886 | − | 10.3720i | −0.123866 | − | 0.702478i | ||||
\(219\) | −2.61416 | − | 11.2927i | −0.176648 | − | 0.763093i | ||||
\(220\) | 2.01944 | − | 0.735016i | 0.136151 | − | 0.0495548i | ||||
\(221\) | 17.5397 | + | 14.7176i | 1.17985 | + | 0.990012i | ||||
\(222\) | 1.93663 | + | 1.45756i | 0.129978 | + | 0.0978253i | ||||
\(223\) | −26.2670 | − | 9.56040i | −1.75897 | − | 0.640212i | −0.759026 | − | 0.651061i | \(-0.774324\pi\) |
−0.999941 | + | 0.0108493i | \(0.996547\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | 2.51190 | − | 5.65980i | 0.167460 | − | 0.377320i | ||||
\(226\) | −3.41272 | + | 5.91101i | −0.227011 | + | 0.393194i | ||||
\(227\) | −7.36444 | + | 6.17950i | −0.488795 | + | 0.410148i | −0.853594 | − | 0.520939i | \(-0.825582\pi\) |
0.364799 | + | 0.931086i | \(0.381138\pi\) | |||||||
\(228\) | −2.63456 | − | 4.05163i | −0.174478 | − | 0.268326i | ||||
\(229\) | −3.11049 | + | 17.6404i | −0.205547 | + | 1.16571i | 0.691031 | + | 0.722826i | \(0.257157\pi\) |
−0.896577 | + | 0.442887i | \(0.853954\pi\) | |||||||
\(230\) | 0.766628 | − | 4.34776i | 0.0505499 | − | 0.286683i | ||||
\(231\) | 2.16932 | − | 0.114973i | 0.142731 | − | 0.00756465i | ||||
\(232\) | −3.28635 | + | 2.75757i | −0.215759 | + | 0.181043i | ||||
\(233\) | −2.35161 | + | 4.07311i | −0.154059 | + | 0.266838i | −0.932716 | − | 0.360612i | \(-0.882568\pi\) |
0.778657 | + | 0.627450i | \(0.215901\pi\) | |||||||
\(234\) | −9.34813 | − | 6.28935i | −0.611106 | − | 0.411148i | ||||
\(235\) | −5.98282 | − | 10.3626i | −0.390276 | − | 0.675979i | ||||
\(236\) | 7.68253 | + | 2.79621i | 0.500090 | + | 0.182018i | ||||
\(237\) | 0.260671 | − | 2.13340i | 0.0169324 | − | 0.138579i | ||||
\(238\) | −4.67024 | − | 3.91880i | −0.302727 | − | 0.254018i | ||||
\(239\) | −23.6469 | + | 8.60676i | −1.52959 | + | 0.556725i | −0.963521 | − | 0.267633i | \(-0.913759\pi\) |
−0.566069 | + | 0.824358i | \(0.691536\pi\) | |||||||
\(240\) | 2.83863 | + | 0.866025i | 0.183233 | + | 0.0559017i | ||||
\(241\) | 0.650035 | + | 3.68653i | 0.0418724 | + | 0.237470i | 0.998560 | − | 0.0536463i | \(-0.0170843\pi\) |
−0.956688 | + | 0.291117i | \(0.905973\pi\) | |||||||
\(242\) | −9.42695 | −0.605987 | ||||||||
\(243\) | 1.40444 | + | 15.5251i | 0.0900948 | + | 0.995933i | ||||
\(244\) | −11.6937 | −0.748615 | ||||||||
\(245\) | 0.297539 | + | 1.68743i | 0.0190091 | + | 0.107806i | ||||
\(246\) | 5.42169 | + | 1.65408i | 0.345674 | + | 0.105460i | ||||
\(247\) | −9.84723 | + | 3.58410i | −0.626565 | + | 0.228051i | ||||
\(248\) | 1.36238 | + | 1.14317i | 0.0865114 | + | 0.0725917i | ||||
\(249\) | 1.15831 | − | 9.47989i | 0.0734046 | − | 0.600764i | ||||
\(250\) | 11.3740 | + | 4.13980i | 0.719356 | + | 0.261824i | ||||
\(251\) | −10.6347 | − | 18.4199i | −0.671258 | − | 1.16265i | −0.977548 | − | 0.210715i | \(-0.932421\pi\) |
0.306289 | − | 0.951938i | \(-0.400913\pi\) | |||||||
\(252\) | 2.48909 | + | 1.67464i | 0.156798 | + | 0.105493i | ||||
\(253\) | 1.61578 | − | 2.79861i | 0.101583 | − | 0.175947i | ||||
\(254\) | −5.10824 | + | 4.28632i | −0.320519 | + | 0.268948i | ||||
\(255\) | 18.0680 | − | 0.957597i | 1.13146 | − | 0.0599670i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 5.55886 | − | 31.5259i | 0.346752 | − | 1.96653i | 0.118274 | − | 0.992981i | \(-0.462264\pi\) |
0.228478 | − | 0.973549i | \(-0.426625\pi\) | |||||||
\(258\) | 7.22531 | + | 11.1116i | 0.449828 | + | 0.691781i | ||||
\(259\) | −1.07201 | + | 0.899522i | −0.0666114 | + | 0.0558936i | ||||
\(260\) | 3.21757 | − | 5.57299i | 0.199545 | − | 0.345622i | ||||
\(261\) | 5.22084 | − | 11.7636i | 0.323162 | − | 0.728146i | ||||
\(262\) | 0.0622071 | + | 0.107746i | 0.00384317 | + | 0.00665656i | ||||
\(263\) | 9.60132 | + | 3.49459i | 0.592043 | + | 0.215486i | 0.620628 | − | 0.784105i | \(-0.286878\pi\) |
−0.0285849 | + | 0.999591i | \(0.509100\pi\) | |||||||
\(264\) | 1.73570 | + | 1.30634i | 0.106825 | + | 0.0803994i | ||||
\(265\) | −4.65233 | − | 3.90377i | −0.285791 | − | 0.239807i | ||||
\(266\) | 2.62199 | − | 0.954325i | 0.160764 | − | 0.0585134i | ||||
\(267\) | −6.56553 | − | 28.3621i | −0.401804 | − | 1.73573i | ||||
\(268\) | −2.70516 | − | 15.3417i | −0.165244 | − | 0.937144i | ||||
\(269\) | 18.4643 | 1.12579 | 0.562894 | − | 0.826529i | \(-0.309688\pi\) | ||||
0.562894 | + | 0.826529i | \(0.309688\pi\) | |||||||
\(270\) | −8.79130 | + | 1.40836i | −0.535022 | + | 0.0857103i | ||||
\(271\) | 12.7983 | 0.777443 | 0.388722 | − | 0.921355i | \(-0.372917\pi\) | ||||
0.388722 | + | 0.921355i | \(0.372917\pi\) | |||||||
\(272\) | −1.05866 | − | 6.00394i | −0.0641905 | − | 0.364043i | ||||
\(273\) | 4.75481 | − | 4.43918i | 0.287774 | − | 0.268671i | ||||
\(274\) | 2.94189 | − | 1.07076i | 0.177726 | − | 0.0646871i | ||||
\(275\) | 1.98311 | + | 1.66403i | 0.119586 | + | 0.100345i | ||||
\(276\) | 4.10694 | − | 1.74615i | 0.247209 | − | 0.105106i | ||||
\(277\) | −13.9464 | − | 5.07608i | −0.837959 | − | 0.304992i | −0.112838 | − | 0.993613i | \(-0.535994\pi\) |
−0.725121 | + | 0.688621i | \(0.758216\pi\) | |||||||
\(278\) | −3.72138 | − | 6.44562i | −0.223194 | − | 0.386583i | ||||
\(279\) | −5.17843 | − | 1.28464i | −0.310024 | − | 0.0769092i | ||||
\(280\) | −0.856730 | + | 1.48390i | −0.0511994 | + | 0.0886800i | ||||
\(281\) | 3.72253 | − | 3.12358i | 0.222068 | − | 0.186337i | −0.524966 | − | 0.851123i | \(-0.675922\pi\) |
0.747034 | + | 0.664786i | \(0.231477\pi\) | |||||||
\(282\) | 5.48487 | − | 10.7804i | 0.326619 | − | 0.641963i | ||||
\(283\) | −3.25925 | + | 18.4841i | −0.193742 | + | 1.09877i | 0.720456 | + | 0.693501i | \(0.243933\pi\) |
−0.914198 | + | 0.405267i | \(0.867178\pi\) | |||||||
\(284\) | −1.97423 | + | 11.1964i | −0.117149 | + | 0.664386i | ||||
\(285\) | −3.75511 | + | 7.38058i | −0.222433 | + | 0.437188i | ||||
\(286\) | 3.60835 | − | 3.02777i | 0.213366 | − | 0.179036i | ||||
\(287\) | −1.63632 | + | 2.83420i | −0.0965892 | + | 0.167297i | ||||
\(288\) | 0.830315 | + | 2.88281i | 0.0489268 | + | 0.169871i | ||||
\(289\) | −10.0840 | − | 17.4661i | −0.593179 | − | 1.02742i | ||||
\(290\) | 6.90747 | + | 2.51411i | 0.405621 | + | 0.147634i | ||||
\(291\) | 23.1312 | − | 9.83473i | 1.35598 | − | 0.576522i | ||||
\(292\) | 5.12659 | + | 4.30172i | 0.300011 | + | 0.251739i | ||||
\(293\) | 13.7105 | − | 4.99021i | 0.800975 | − | 0.291531i | 0.0910848 | − | 0.995843i | \(-0.470967\pi\) |
0.709891 | + | 0.704312i | \(0.248744\pi\) | |||||||
\(294\) | −1.26604 | + | 1.18200i | −0.0738372 | + | 0.0689358i | ||||
\(295\) | −2.43255 | − | 13.7957i | −0.141629 | − | 0.803217i | ||||
\(296\) | −1.39941 | −0.0813389 | ||||||||
\(297\) | −6.39954 | − | 1.23219i | −0.371339 | − | 0.0714989i | ||||
\(298\) | −16.0458 | −0.929509 | ||||||||
\(299\) | −1.68033 | − | 9.52962i | −0.0971760 | − | 0.551112i | ||||
\(300\) | 0.806267 | + | 3.48295i | 0.0465498 | + | 0.201088i | ||||
\(301\) | −7.19082 | + | 2.61725i | −0.414472 | + | 0.150856i | ||||
\(302\) | −13.3844 | − | 11.2309i | −0.770187 | − | 0.646264i | ||||
\(303\) | 18.8386 | + | 14.1784i | 1.08225 | + | 0.814530i | ||||
\(304\) | 2.62199 | + | 0.954325i | 0.150381 | + | 0.0547343i | ||||
\(305\) | 10.0184 | + | 17.3523i | 0.573651 | + | 0.993592i | ||||
\(306\) | 10.7679 | + | 14.7840i | 0.615558 | + | 0.845143i | ||||
\(307\) | 5.33942 | − | 9.24814i | 0.304737 | − | 0.527819i | −0.672466 | − | 0.740128i | \(-0.734765\pi\) |
0.977203 | + | 0.212309i | \(0.0680982\pi\) | |||||||
\(308\) | −0.960783 | + | 0.806193i | −0.0547457 | + | 0.0459371i | ||||
\(309\) | −0.462732 | − | 0.711625i | −0.0263239 | − | 0.0404829i | ||||
\(310\) | 0.529163 | − | 3.00103i | 0.0300544 | − | 0.170447i | ||||
\(311\) | 2.66283 | − | 15.1016i | 0.150995 | − | 0.856336i | −0.811361 | − | 0.584545i | \(-0.801273\pi\) |
0.962356 | − | 0.271791i | \(-0.0876158\pi\) | |||||||
\(312\) | 6.49584 | − | 0.344277i | 0.367755 | − | 0.0194908i | ||||
\(313\) | −9.95410 | + | 8.35248i | −0.562639 | + | 0.472110i | −0.879194 | − | 0.476464i | \(-0.841918\pi\) |
0.316555 | + | 0.948574i | \(0.397474\pi\) | |||||||
\(314\) | 5.86186 | − | 10.1530i | 0.330804 | − | 0.572969i | ||||
\(315\) | 0.352522 | − | 5.12828i | 0.0198624 | − | 0.288946i | ||||
\(316\) | 0.620440 | + | 1.07463i | 0.0349025 | + | 0.0604529i | ||||
\(317\) | −9.15813 | − | 3.33328i | −0.514372 | − | 0.187216i | 0.0717752 | − | 0.997421i | \(-0.477134\pi\) |
−0.586147 | + | 0.810205i | \(0.699356\pi\) | |||||||
\(318\) | 0.744570 | − | 6.09377i | 0.0417534 | − | 0.341722i | ||||
\(319\) | 4.12178 | + | 3.45858i | 0.230775 | + | 0.193643i | ||||
\(320\) | −1.61013 | + | 0.586038i | −0.0900087 | + | 0.0327605i | ||||
\(321\) | 6.79701 | + | 2.07367i | 0.379372 | + | 0.115741i | ||||
\(322\) | 0.447415 | + | 2.53742i | 0.0249335 | + | 0.141405i | ||||
\(323\) | 17.0110 | 0.946517 | ||||||||
\(324\) | −6.03795 | − | 6.67407i | −0.335441 | − | 0.370782i | ||||
\(325\) | 7.75185 | 0.429995 | ||||||||
\(326\) | −4.17490 | − | 23.6770i | −0.231226 | − | 1.31135i | ||||
\(327\) | −17.4480 | − | 5.32312i | −0.964875 | − | 0.294369i | ||||
\(328\) | −3.07528 | + | 1.11931i | −0.169804 | + | 0.0618037i | ||||
\(329\) | 5.34954 | + | 4.48880i | 0.294930 | + | 0.247475i | ||||
\(330\) | 0.451448 | − | 3.69477i | 0.0248514 | − | 0.203391i | ||||
\(331\) | 2.79680 | + | 1.01795i | 0.153726 | + | 0.0559517i | 0.417737 | − | 0.908568i | \(-0.362823\pi\) |
−0.264011 | + | 0.964520i | \(0.585046\pi\) | |||||||
\(332\) | 2.75696 | + | 4.77520i | 0.151308 | + | 0.262073i | ||||
\(333\) | 3.77116 | − | 1.84483i | 0.206658 | − | 0.101096i | ||||
\(334\) | 3.67818 | − | 6.37080i | 0.201261 | − | 0.348595i | ||||
\(335\) | −20.4480 | + | 17.1579i | −1.11719 | + | 0.937435i | ||||
\(336\) | −1.72962 | + | 0.0916693i | −0.0943587 | + | 0.00500097i | ||||
\(337\) | −2.03813 | + | 11.5588i | −0.111024 | + | 0.629650i | 0.877618 | + | 0.479361i | \(0.159131\pi\) |
−0.988642 | + | 0.150289i | \(0.951980\pi\) | |||||||
\(338\) | 0.191852 | − | 1.08805i | 0.0104354 | − | 0.0591819i | ||||
\(339\) | 6.44458 | + | 9.91097i | 0.350022 | + | 0.538290i | ||||
\(340\) | −8.00226 | + | 6.71470i | −0.433984 | + | 0.364156i | ||||
\(341\) | 1.11529 | − | 1.93173i | 0.0603961 | − | 0.104609i | ||||
\(342\) | −8.32388 | + | 0.884810i | −0.450104 | + | 0.0478450i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | −7.19082 | − | 2.61725i | −0.387703 | − | 0.141112i | ||||
\(345\) | −6.10965 | − | 4.59830i | −0.328933 | − | 0.247564i | ||||
\(346\) | −15.9462 | − | 13.3804i | −0.857272 | − | 0.719337i | ||||
\(347\) | 25.1905 | − | 9.16860i | 1.35230 | − | 0.492196i | 0.438634 | − | 0.898666i | \(-0.355462\pi\) |
0.913664 | + | 0.406469i | \(0.133240\pi\) | |||||||
\(348\) | 1.67578 | + | 7.23910i | 0.0898312 | + | 0.388057i | ||||
\(349\) | 1.34593 | + | 7.63313i | 0.0720458 | + | 0.408592i | 0.999407 | + | 0.0344255i | \(0.0109601\pi\) |
−0.927361 | + | 0.374167i | \(0.877929\pi\) | |||||||
\(350\) | −2.06406 | −0.110328 | ||||||||
\(351\) | −17.0513 | + | 9.49120i | −0.910132 | + | 0.506603i | ||||
\(352\) | −1.25421 | −0.0668498 | ||||||||
\(353\) | 0.305997 | + | 1.73539i | 0.0162866 | + | 0.0923657i | 0.991868 | − | 0.127274i | \(-0.0406228\pi\) |
−0.975581 | + | 0.219640i | \(0.929512\pi\) | |||||||
\(354\) | 10.3506 | − | 9.66356i | 0.550130 | − | 0.513612i | ||||
\(355\) | 18.3058 | − | 6.66275i | 0.971569 | − | 0.353622i | ||||
\(356\) | 12.8756 | + | 10.8039i | 0.682404 | + | 0.572605i | ||||
\(357\) | −9.71769 | + | 4.13168i | −0.514315 | + | 0.218672i | ||||
\(358\) | −9.27205 | − | 3.37475i | −0.490043 | − | 0.178361i | ||||
\(359\) | −8.54676 | − | 14.8034i | −0.451081 | − | 0.781295i | 0.547373 | − | 0.836889i | \(-0.315628\pi\) |
−0.998453 | + | 0.0555942i | \(0.982295\pi\) | |||||||
\(360\) | 3.56644 | − | 3.70189i | 0.187968 | − | 0.195107i | ||||
\(361\) | 5.60723 | − | 9.71200i | 0.295117 | − | 0.511158i | ||||
\(362\) | −0.290167 | + | 0.243479i | −0.0152508 | + | 0.0127970i | ||||
\(363\) | −7.40415 | + | 14.5527i | −0.388617 | + | 0.763818i | ||||
\(364\) | −0.652160 | + | 3.69858i | −0.0341825 | + | 0.193858i | ||||
\(365\) | 1.99122 | − | 11.2927i | 0.104225 | − | 0.591089i | ||||
\(366\) | −9.18455 | + | 18.0520i | −0.480084 | + | 0.943594i | ||||
\(367\) | −10.9253 | + | 9.16739i | −0.570295 | + | 0.478534i | −0.881744 | − | 0.471729i | \(-0.843630\pi\) |
0.311449 | + | 0.950263i | \(0.399186\pi\) | |||||||
\(368\) | −1.28828 | + | 2.23137i | −0.0671563 | + | 0.116318i | ||||
\(369\) | 6.81178 | − | 7.07049i | 0.354607 | − | 0.368075i | ||||
\(370\) | 1.19891 | + | 2.07658i | 0.0623286 | + | 0.107956i | ||||
\(371\) | 3.33065 | + | 1.21226i | 0.172919 | + | 0.0629373i | ||||
\(372\) | 2.83480 | − | 1.20528i | 0.146978 | − | 0.0624907i | ||||
\(373\) | −24.2229 | − | 20.3254i | −1.25422 | − | 1.05241i | −0.996273 | − | 0.0862515i | \(-0.972511\pi\) |
−0.257942 | − | 0.966160i | \(-0.583044\pi\) | |||||||
\(374\) | −7.18525 | + | 2.61522i | −0.371541 | + | 0.135230i | ||||
\(375\) | 15.3242 | − | 14.3069i | 0.791337 | − | 0.738807i | ||||
\(376\) | 1.21264 | + | 6.87724i | 0.0625372 | + | 0.354666i | ||||
\(377\) | 16.1118 | 0.829798 | ||||||||
\(378\) | 4.54019 | − | 2.52719i | 0.233522 | − | 0.129984i | ||||
\(379\) | 28.6868 | 1.47354 | 0.736770 | − | 0.676144i | \(-0.236350\pi\) | ||||
0.736770 | + | 0.676144i | \(0.236350\pi\) | |||||||
\(380\) | −0.830211 | − | 4.70836i | −0.0425889 | − | 0.241534i | ||||
\(381\) | 2.60480 | + | 11.2523i | 0.133448 | + | 0.576474i | ||||
\(382\) | −12.2551 | + | 4.46050i | −0.627026 | + | 0.228219i | ||||
\(383\) | −5.73043 | − | 4.80840i | −0.292811 | − | 0.245698i | 0.484534 | − | 0.874773i | \(-0.338989\pi\) |
−0.777345 | + | 0.629075i | \(0.783434\pi\) | |||||||
\(384\) | −1.38389 | − | 1.04156i | −0.0706215 | − | 0.0531518i | ||||
\(385\) | 2.01944 | + | 0.735016i | 0.102920 | + | 0.0374599i | ||||
\(386\) | 7.56241 | + | 13.0985i | 0.384916 | + | 0.666695i | ||||
\(387\) | 22.8283 | − | 2.42660i | 1.16043 | − | 0.123351i | ||||
\(388\) | −7.25589 | + | 12.5676i | −0.368362 | + | 0.638022i | ||||
\(389\) | −8.45937 | + | 7.09826i | −0.428907 | + | 0.359896i | −0.831539 | − | 0.555466i | \(-0.812540\pi\) |
0.402632 | + | 0.915362i | \(0.368095\pi\) | |||||||
\(390\) | −6.07605 | − | 9.34423i | −0.307673 | − | 0.473163i | ||||
\(391\) | −2.72769 | + | 15.4695i | −0.137945 | + | 0.782327i | ||||
\(392\) | 0.173648 | − | 0.984808i | 0.00877056 | − | 0.0497403i | ||||
\(393\) | 0.215190 | − | 0.0114050i | 0.0108549 | − | 0.000575304i | ||||
\(394\) | −16.0606 | + | 13.4764i | −0.809120 | + | 0.678932i | ||||
\(395\) | 1.06310 | − | 1.84134i | 0.0534903 | − | 0.0926479i | ||||
\(396\) | 3.37989 | − | 1.65342i | 0.169846 | − | 0.0830876i | ||||
\(397\) | −15.9992 | − | 27.7114i | −0.802977 | − | 1.39080i | −0.917648 | − | 0.397394i | \(-0.869915\pi\) |
0.114671 | − | 0.993404i | \(-0.463419\pi\) | |||||||
\(398\) | −17.8520 | − | 6.49759i | −0.894839 | − | 0.325695i | ||||
\(399\) | 0.586148 | − | 4.79719i | 0.0293441 | − | 0.240160i | ||||
\(400\) | −1.58116 | − | 1.32675i | −0.0790579 | − | 0.0663375i | ||||
\(401\) | −0.622863 | + | 0.226704i | −0.0311043 | + | 0.0113210i | −0.357525 | − | 0.933903i | \(-0.616379\pi\) |
0.326421 | + | 0.945224i | \(0.394157\pi\) | |||||||
\(402\) | −25.8082 | − | 7.87371i | −1.28720 | − | 0.392705i | ||||
\(403\) | −1.15984 | − | 6.57780i | −0.0577759 | − | 0.327663i | ||||
\(404\) | −13.6127 | −0.677259 | ||||||||
\(405\) | −4.73076 | + | 14.6776i | −0.235073 | + | 0.729335i | ||||
\(406\) | −4.29002 | −0.212910 | ||||||||
\(407\) | 0.304780 | + | 1.72849i | 0.0151074 | + | 0.0856781i | ||||
\(408\) | −10.1000 | − | 3.08136i | −0.500023 | − | 0.152550i | ||||
\(409\) | 24.2399 | − | 8.82259i | 1.19858 | − | 0.436249i | 0.335854 | − | 0.941914i | \(-0.390975\pi\) |
0.862730 | + | 0.505665i | \(0.168753\pi\) | |||||||
\(410\) | 4.29563 | + | 3.60446i | 0.212146 | + | 0.178012i | ||||
\(411\) | 0.657663 | − | 5.38250i | 0.0324401 | − | 0.265499i | ||||
\(412\) | 0.460523 | + | 0.167617i | 0.0226883 | + | 0.00825788i | ||||
\(413\) | 4.08779 | + | 7.08026i | 0.201147 | + | 0.348397i | ||||
\(414\) | 0.530094 | − | 7.71148i | 0.0260527 | − | 0.378999i | ||||
\(415\) | 4.72394 | − | 8.18210i | 0.231889 | − | 0.401644i | ||||
\(416\) | −2.87699 | + | 2.41408i | −0.141056 | + | 0.118360i | ||||
\(417\) | −12.8732 | + | 0.682272i | −0.630402 | + | 0.0334110i | ||||
\(418\) | 0.607695 | − | 3.44641i | 0.0297234 | − | 0.168570i | ||||
\(419\) | −1.58766 | + | 9.00409i | −0.0775624 | + | 0.439878i | 0.921153 | + | 0.389201i | \(0.127249\pi\) |
−0.998715 | + | 0.0506769i | \(0.983862\pi\) | |||||||
\(420\) | 1.61785 | + | 2.48805i | 0.0789429 | + | 0.121404i | ||||
\(421\) | 17.8021 | − | 14.9377i | 0.867620 | − | 0.728019i | −0.0959758 | − | 0.995384i | \(-0.530597\pi\) |
0.963596 | + | 0.267364i | \(0.0861527\pi\) | |||||||
\(422\) | −10.2829 | + | 17.8105i | −0.500563 | + | 0.867001i | ||||
\(423\) | −12.3341 | − | 16.9343i | −0.599704 | − | 0.823376i | ||||
\(424\) | 1.77220 | + | 3.06954i | 0.0860657 | + | 0.149070i | ||||
\(425\) | −11.8248 | − | 4.30386i | −0.573585 | − | 0.208768i | ||||
\(426\) | 15.7337 | + | 11.8416i | 0.762299 | + | 0.573729i | ||||
\(427\) | −8.95793 | − | 7.51660i | −0.433505 | − | 0.363754i | ||||
\(428\) | −3.85539 | + | 1.40325i | −0.186357 | + | 0.0678286i | ||||
\(429\) | −1.83998 | − | 7.94842i | −0.0888350 | − | 0.383753i | ||||
\(430\) | 2.27686 | + | 12.9127i | 0.109800 | + | 0.622707i | ||||
\(431\) | −5.99707 | −0.288869 | −0.144434 | − | 0.989514i | \(-0.546136\pi\) | ||||
−0.144434 | + | 0.989514i | \(0.546136\pi\) | |||||||
\(432\) | 5.10243 | + | 0.982441i | 0.245491 | + | 0.0472677i | ||||
\(433\) | 12.6815 | 0.609432 | 0.304716 | − | 0.952443i | \(-0.401438\pi\) | ||||
0.304716 | + | 0.952443i | \(0.401438\pi\) | |||||||
\(434\) | 0.308827 | + | 1.75145i | 0.0148242 | + | 0.0840721i | ||||
\(435\) | 9.30641 | − | 8.68864i | 0.446208 | − | 0.416588i | ||||
\(436\) | 9.89681 | − | 3.60215i | 0.473971 | − | 0.172511i | ||||
\(437\) | −5.50730 | − | 4.62117i | −0.263450 | − | 0.221061i | ||||
\(438\) | 10.6672 | − | 4.53541i | 0.509700 | − | 0.216710i | ||||
\(439\) | 18.8863 | + | 6.87404i | 0.901392 | + | 0.328080i | 0.750811 | − | 0.660518i | \(-0.229663\pi\) |
0.150582 | + | 0.988598i | \(0.451885\pi\) | |||||||
\(440\) | 1.07452 | + | 1.86113i | 0.0512258 | + | 0.0887257i | ||||
\(441\) | 0.830315 | + | 2.88281i | 0.0395388 | + | 0.137277i | ||||
\(442\) | −11.4482 | + | 19.8289i | −0.544538 | + | 0.943167i | ||||
\(443\) | 25.1520 | − | 21.1050i | 1.19501 | − | 1.00273i | 0.195247 | − | 0.980754i | \(-0.437449\pi\) |
0.999759 | − | 0.0219748i | \(-0.00699536\pi\) | |||||||
\(444\) | −1.09913 | + | 2.16031i | −0.0521623 | + | 0.102524i | ||||
\(445\) | 5.00100 | − | 28.3621i | 0.237070 | − | 1.34449i | ||||
\(446\) | 4.85394 | − | 27.5281i | 0.229841 | − | 1.30349i | ||||
\(447\) | −12.6028 | + | 24.7704i | −0.596090 | + | 1.17160i | ||||
\(448\) | 0.766044 | − | 0.642788i | 0.0361922 | − | 0.0303689i | ||||
\(449\) | −17.8043 | + | 30.8380i | −0.840238 | + | 1.45533i | 0.0494557 | + | 0.998776i | \(0.484251\pi\) |
−0.889694 | + | 0.456558i | \(0.849082\pi\) | |||||||
\(450\) | 6.01000 | + | 1.49093i | 0.283314 | + | 0.0702831i | ||||
\(451\) | 2.05230 | + | 3.55469i | 0.0966390 | + | 0.167384i | ||||
\(452\) | −6.41382 | − | 2.33444i | −0.301681 | − | 0.109803i | ||||
\(453\) | −27.8499 | + | 11.8410i | −1.30850 | + | 0.556338i | ||||
\(454\) | −7.36444 | − | 6.17950i | −0.345630 | − | 0.290018i | ||||
\(455\) | 6.04705 | − | 2.20095i | 0.283490 | − | 0.103182i | ||||
\(456\) | 3.53259 | − | 3.29809i | 0.165429 | − | 0.154447i | ||||
\(457\) | 2.80215 | + | 15.8918i | 0.131079 | + | 0.743385i | 0.977510 | + | 0.210888i | \(0.0676354\pi\) |
−0.846431 | + | 0.532498i | \(0.821253\pi\) | |||||||
\(458\) | −17.9126 | −0.837000 | ||||||||
\(459\) | 31.2798 | − | 5.01102i | 1.46002 | − | 0.233894i | ||||
\(460\) | 4.41483 | 0.205843 | ||||||||
\(461\) | 6.57323 | + | 37.2786i | 0.306146 | + | 1.73624i | 0.618062 | + | 0.786129i | \(0.287918\pi\) |
−0.311916 | + | 0.950110i | \(0.600971\pi\) | |||||||
\(462\) | 0.489924 | + | 2.11639i | 0.0227933 | + | 0.0984636i | ||||
\(463\) | 29.4281 | − | 10.7110i | 1.36764 | − | 0.497781i | 0.449233 | − | 0.893414i | \(-0.351697\pi\) |
0.918408 | + | 0.395634i | \(0.129475\pi\) | |||||||
\(464\) | −3.28635 | − | 2.75757i | −0.152565 | − | 0.128017i | ||||
\(465\) | −4.21717 | − | 3.17397i | −0.195567 | − | 0.147189i | ||||
\(466\) | −4.41958 | − | 1.60860i | −0.204733 | − | 0.0745168i | ||||
\(467\) | −13.1073 | − | 22.7024i | −0.606531 | − | 1.05054i | −0.991807 | − | 0.127742i | \(-0.959227\pi\) |
0.385276 | − | 0.922801i | \(-0.374106\pi\) | |||||||
\(468\) | 4.57052 | − | 10.2982i | 0.211272 | − | 0.476037i | ||||
\(469\) | 7.78919 | − | 13.4913i | 0.359672 | − | 0.622969i | ||||
\(470\) | 9.16622 | − | 7.69137i | 0.422806 | − | 0.354776i | ||||
\(471\) | −11.0695 | − | 17.0236i | −0.510057 | − | 0.784405i | ||||
\(472\) | −1.41967 | + | 8.05137i | −0.0653458 | + | 0.370594i | ||||
\(473\) | −1.66661 | + | 9.45182i | −0.0766309 | + | 0.434595i | ||||
\(474\) | 2.14626 | − | 0.113751i | 0.0985808 | − | 0.00522474i | ||||
\(475\) | 4.41184 | − | 3.70198i | 0.202429 | − | 0.169858i | ||||
\(476\) | 3.04828 | − | 5.27978i | 0.139718 | − | 0.241998i | ||||
\(477\) | −8.82234 | − | 5.93561i | −0.403947 | − | 0.271773i | ||||
\(478\) | −12.5822 | − | 21.7931i | −0.575499 | − | 0.996793i | ||||
\(479\) | 4.62221 | + | 1.68235i | 0.211194 | + | 0.0768683i | 0.445451 | − | 0.895306i | \(-0.353043\pi\) |
−0.234257 | + | 0.972175i | \(0.575266\pi\) | |||||||
\(480\) | −0.359945 | + | 2.94589i | −0.0164292 | + | 0.134461i | ||||
\(481\) | 4.02608 | + | 3.37828i | 0.183573 | + | 0.154036i | ||||
\(482\) | −3.51765 | + | 1.28032i | −0.160224 | + | 0.0583169i | ||||
\(483\) | 4.26850 | + | 1.30226i | 0.194224 | + | 0.0592548i | ||||
\(484\) | −1.63697 | − | 9.28373i | −0.0744078 | − | 0.421988i | ||||
\(485\) | 24.8653 | 1.12908 | ||||||||
\(486\) | −15.0453 | + | 4.07900i | −0.682470 | + | 0.185027i | ||||
\(487\) | 4.88965 | 0.221571 | 0.110786 | − | 0.993844i | \(-0.464663\pi\) | ||||
0.110786 | + | 0.993844i | \(0.464663\pi\) | |||||||
\(488\) | −2.03060 | − | 11.5161i | −0.0919208 | − | 0.521309i | ||||
\(489\) | −39.8300 | − | 12.1516i | −1.80118 | − | 0.549513i | ||||
\(490\) | −1.61013 | + | 0.586038i | −0.0727380 | + | 0.0264745i | ||||
\(491\) | −23.1798 | − | 19.4502i | −1.04609 | − | 0.877775i | −0.0534147 | − | 0.998572i | \(-0.517011\pi\) |
−0.992677 | + | 0.120797i | \(0.961455\pi\) | |||||||
\(492\) | −0.687483 | + | 5.62655i | −0.0309941 | + | 0.253664i | ||||
\(493\) | −24.5771 | − | 8.94532i | −1.10690 | − | 0.402877i | ||||
\(494\) | −5.23960 | − | 9.07526i | −0.235741 | − | 0.408315i | ||||
\(495\) | −5.34916 | − | 3.59888i | −0.240427 | − | 0.161758i | ||||
\(496\) | −0.889232 | + | 1.54019i | −0.0399277 | + | 0.0691568i | ||||
\(497\) | −8.70928 | + | 7.30795i | −0.390664 | + | 0.327806i | ||||
\(498\) | 9.53701 | − | 0.505457i | 0.427363 | − | 0.0226501i | ||||
\(499\) | −5.49178 | + | 31.1454i | −0.245846 | + | 1.39426i | 0.572674 | + | 0.819783i | \(0.305906\pi\) |
−0.818520 | + | 0.574478i | \(0.805205\pi\) | |||||||
\(500\) | −2.10183 | + | 11.9201i | −0.0939968 | + | 0.533083i | ||||
\(501\) | −6.94588 | − | 10.6819i | −0.310319 | − | 0.477233i | ||||
\(502\) | 16.2934 | − | 13.6717i | 0.727208 | − | 0.610200i | ||||
\(503\) | −9.71695 | + | 16.8303i | −0.433257 | + | 0.750424i | −0.997152 | − | 0.0754231i | \(-0.975969\pi\) |
0.563894 | + | 0.825847i | \(0.309303\pi\) | |||||||
\(504\) | −1.21697 | + | 2.74207i | −0.0542083 | + | 0.122142i | ||||
\(505\) | 11.6624 | + | 20.1999i | 0.518971 | + | 0.898885i | ||||
\(506\) | 3.03667 | + | 1.10526i | 0.134996 | + | 0.0491347i | ||||
\(507\) | −1.52897 | − | 1.15075i | −0.0679039 | − | 0.0511064i | ||||
\(508\) | −5.10824 | − | 4.28632i | −0.226641 | − | 0.190175i | ||||
\(509\) | 17.0878 | − | 6.21944i | 0.757402 | − | 0.275672i | 0.0656851 | − | 0.997840i | \(-0.479077\pi\) |
0.691717 | + | 0.722169i | \(0.256855\pi\) | |||||||
\(510\) | 4.08053 | + | 17.6272i | 0.180689 | + | 0.780547i | ||||
\(511\) | 1.16210 | + | 6.59061i | 0.0514084 | + | 0.291551i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −5.17187 | + | 13.5448i | −0.228343 | + | 0.598017i | ||||
\(514\) | 32.0122 | 1.41200 | ||||||||
\(515\) | −0.145818 | − | 0.826972i | −0.00642549 | − | 0.0364408i | ||||
\(516\) | −9.68817 | + | 9.04506i | −0.426498 | + | 0.398187i | ||||
\(517\) | 8.23037 | − | 2.99561i | 0.361971 | − | 0.131747i | ||||
\(518\) | −1.07201 | − | 0.899522i | −0.0471014 | − | 0.0395227i | ||||
\(519\) | −33.1803 | + | 14.1073i | −1.45645 | + | 0.619243i | ||||
\(520\) | 6.04705 | + | 2.20095i | 0.265181 | + | 0.0965179i | ||||
\(521\) | 5.19696 | + | 9.00140i | 0.227683 | + | 0.394359i | 0.957121 | − | 0.289688i | \(-0.0935517\pi\) |
−0.729438 | + | 0.684047i | \(0.760218\pi\) | |||||||
\(522\) | 12.4914 | + | 3.09881i | 0.546735 | + | 0.135631i | ||||
\(523\) | 17.0844 | − | 29.5910i | 0.747048 | − | 1.29392i | −0.202184 | − | 0.979347i | \(-0.564804\pi\) |
0.949232 | − | 0.314577i | \(-0.101863\pi\) | |||||||
\(524\) | −0.0953068 | + | 0.0799719i | −0.00416350 | + | 0.00349359i | ||||
\(525\) | −1.62116 | + | 3.18635i | −0.0707532 | + | 0.139064i | ||||
\(526\) | −1.77425 | + | 10.0623i | −0.0773611 | + | 0.438736i | ||||
\(527\) | −1.88278 | + | 10.6778i | −0.0820153 | + | 0.465132i | ||||
\(528\) | −0.985089 | + | 1.93617i | −0.0428705 | + | 0.0842609i | ||||
\(529\) | −12.5335 | + | 10.5169i | −0.544935 | + | 0.457255i | ||||
\(530\) | 3.03660 | − | 5.25954i | 0.131901 | − | 0.228460i | ||||
\(531\) | −6.78830 | − | 23.5686i | −0.294587 | − | 1.02279i | ||||
\(532\) | 1.39513 | + | 2.41644i | 0.0604865 | + | 0.104766i | ||||
\(533\) | 11.5497 | + | 4.20373i | 0.500271 | + | 0.182084i | ||||
\(534\) | 26.7911 | − | 11.3908i | 1.15936 | − | 0.492929i | ||||
\(535\) | 5.38531 | + | 4.51881i | 0.232827 | + | 0.195365i | ||||
\(536\) | 14.6389 | − | 5.32812i | 0.632304 | − | 0.230140i | ||||
\(537\) | −12.4922 | + | 11.6630i | −0.539078 | + | 0.503294i | ||||
\(538\) | 3.20629 | + | 18.1838i | 0.138233 | + | 0.783958i | ||||
\(539\) | −1.25421 | −0.0540228 | ||||||||
\(540\) | −2.91356 | − | 8.41318i | −0.125380 | − | 0.362046i | ||||
\(541\) | 27.8490 | 1.19732 | 0.598662 | − | 0.801002i | \(-0.295699\pi\) | ||||
0.598662 | + | 0.801002i | \(0.295699\pi\) | |||||||
\(542\) | 2.22241 | + | 12.6039i | 0.0954606 | + | 0.541384i | ||||
\(543\) | 0.147962 | + | 0.639174i | 0.00634967 | + | 0.0274296i | ||||
\(544\) | 5.72890 | − | 2.08515i | 0.245624 | − | 0.0894000i | ||||
\(545\) | −13.8241 | − | 11.5998i | −0.592160 | − | 0.496881i | ||||
\(546\) | 5.19740 | + | 3.91172i | 0.222428 | + | 0.167406i | ||||
\(547\) | −10.3695 | − | 3.77418i | −0.443367 | − | 0.161372i | 0.110683 | − | 0.993856i | \(-0.464696\pi\) |
−0.554050 | + | 0.832483i | \(0.686918\pi\) | |||||||
\(548\) | 1.56535 | + | 2.71126i | 0.0668684 | + | 0.115819i | ||||
\(549\) | 20.6537 | + | 28.3570i | 0.881479 | + | 1.21025i | ||||
\(550\) | −1.29438 | + | 2.24194i | −0.0551927 | + | 0.0955965i | ||||
\(551\) | 9.16976 | − | 7.69434i | 0.390645 | − | 0.327790i | ||||
\(552\) | 2.43279 | + | 3.74133i | 0.103546 | + | 0.159242i | ||||
\(553\) | −0.215477 | + | 1.22203i | −0.00916300 | + | 0.0519659i | ||||
\(554\) | 2.57719 | − | 14.6160i | 0.109495 | − | 0.620974i | ||||
\(555\) | 4.14734 | − | 0.219807i | 0.176045 | − | 0.00933030i | ||||
\(556\) | 5.70148 | − | 4.78411i | 0.241797 | − | 0.202892i | ||||
\(557\) | −18.1741 | + | 31.4784i | −0.770059 | + | 1.33378i | 0.167470 | + | 0.985877i | \(0.446440\pi\) |
−0.937530 | + | 0.347905i | \(0.886893\pi\) | |||||||
\(558\) | 0.365896 | − | 5.32283i | 0.0154896 | − | 0.225333i | ||||
\(559\) | 14.3697 | + | 24.8890i | 0.607772 | + | 1.05269i | ||||
\(560\) | −1.61013 | − | 0.586038i | −0.0680402 | − | 0.0247646i | ||||
\(561\) | −1.60627 | + | 13.1462i | −0.0678168 | + | 0.555032i | ||||
\(562\) | 3.72253 | + | 3.12358i | 0.157026 | + | 0.131760i | ||||
\(563\) | −24.2070 | + | 8.81062i | −1.02020 | + | 0.371323i | −0.797343 | − | 0.603527i | \(-0.793762\pi\) |
−0.222860 | + | 0.974850i | \(0.571539\pi\) | |||||||
\(564\) | 11.5690 | + | 3.52955i | 0.487145 | + | 0.148621i | ||||
\(565\) | 2.03084 | + | 11.5174i | 0.0854379 | + | 0.484543i | ||||
\(566\) | −18.7693 | −0.788932 | ||||||||
\(567\) | −0.335327 | − | 8.99375i | −0.0140824 | − | 0.377702i | ||||
\(568\) | −11.3692 | −0.477039 | ||||||||
\(569\) | 1.63546 | + | 9.27514i | 0.0685620 | + | 0.388834i | 0.999707 | + | 0.0241864i | \(0.00769952\pi\) |
−0.931145 | + | 0.364648i | \(0.881189\pi\) | |||||||
\(570\) | −7.92052 | − | 2.41644i | −0.331754 | − | 0.101213i | ||||
\(571\) | 43.2087 | − | 15.7267i | 1.80823 | − | 0.658140i | 0.810890 | − | 0.585199i | \(-0.198984\pi\) |
0.997336 | − | 0.0729416i | \(-0.0232387\pi\) | |||||||
\(572\) | 3.60835 | + | 3.02777i | 0.150873 | + | 0.126597i | ||||
\(573\) | −2.73964 | + | 22.4220i | −0.114450 | + | 0.936692i | ||||
\(574\) | −3.07528 | − | 1.11931i | −0.128360 | − | 0.0467192i | ||||
\(575\) | 2.65908 | + | 4.60567i | 0.110891 | + | 0.192070i | ||||
\(576\) | −2.69483 | + | 1.31830i | −0.112285 | + | 0.0549290i | ||||
\(577\) | −16.4242 | + | 28.4475i | −0.683747 | + | 1.18428i | 0.290082 | + | 0.957002i | \(0.406317\pi\) |
−0.973829 | + | 0.227283i | \(0.927016\pi\) | |||||||
\(578\) | 15.4496 | − | 12.9638i | 0.642621 | − | 0.539223i | ||||
\(579\) | 26.1602 | − | 1.38648i | 1.08718 | − | 0.0576202i | ||||
\(580\) | −1.27645 | + | 7.23910i | −0.0530017 | + | 0.300587i | ||||
\(581\) | −0.957482 | + | 5.43015i | −0.0397231 | + | 0.225281i | ||||
\(582\) | 13.7020 | + | 21.0720i | 0.567967 | + | 0.873463i | ||||
\(583\) | 3.40540 | − | 2.85747i | 0.141037 | − | 0.118344i | ||||
\(584\) | −3.34614 | + | 5.79569i | −0.138464 | + | 0.239827i | ||||
\(585\) | −19.1973 | + | 2.04062i | −0.793709 | + | 0.0843694i | ||||
\(586\) | 7.29520 | + | 12.6357i | 0.301362 | + | 0.521974i | ||||
\(587\) | 23.7564 | + | 8.64661i | 0.980530 | + | 0.356884i | 0.782046 | − | 0.623220i | \(-0.214176\pi\) |
0.198484 | + | 0.980104i | \(0.436398\pi\) | |||||||
\(588\) | −1.38389 | − | 1.04156i | −0.0570708 | − | 0.0429531i | ||||
\(589\) | −3.80140 | − | 3.18975i | −0.156634 | − | 0.131431i | ||||
\(590\) | 13.1637 | − | 4.79120i | 0.541941 | − | 0.197250i | ||||
\(591\) | 8.18963 | + | 35.3779i | 0.336876 | + | 1.45525i | ||||
\(592\) | −0.243005 | − | 1.37815i | −0.00998743 | − | 0.0566415i | ||||
\(593\) | −38.9252 | −1.59847 | −0.799234 | − | 0.601021i | \(-0.794761\pi\) | ||||
−0.799234 | + | 0.601021i | \(0.794761\pi\) | |||||||
\(594\) | 0.102202 | − | 6.51628i | 0.00419341 | − | 0.267366i | ||||
\(595\) | −10.4462 | −0.428253 | ||||||||
\(596\) | −2.78633 | − | 15.8020i | −0.114132 | − | 0.647277i | ||||
\(597\) | −24.0519 | + | 22.4553i | −0.984379 | + | 0.919035i | ||||
\(598\) | 9.09306 | − | 3.30960i | 0.371843 | − | 0.135340i | ||||
\(599\) | −19.7740 | − | 16.5923i | −0.807942 | − | 0.677944i | 0.142174 | − | 0.989842i | \(-0.454591\pi\) |
−0.950116 | + | 0.311898i | \(0.899035\pi\) | |||||||
\(600\) | −3.29003 | + | 1.39883i | −0.134315 | + | 0.0571068i | ||||
\(601\) | 33.7633 | + | 12.2889i | 1.37724 | + | 0.501273i | 0.921339 | − | 0.388760i | \(-0.127097\pi\) |
0.455896 | + | 0.890033i | \(0.349319\pi\) | |||||||
\(602\) | −3.82616 | − | 6.62710i | −0.155943 | − | 0.270100i | ||||
\(603\) | −32.4253 | + | 33.6568i | −1.32046 | + | 1.37061i | ||||
\(604\) | 8.73607 | − | 15.1313i | 0.355466 | − | 0.615684i | ||||
\(605\) | −12.3737 | + | 10.3828i | −0.503062 | + | 0.422119i | ||||
\(606\) | −10.6918 | + | 21.0144i | −0.434323 | + | 0.853652i | ||||
\(607\) | 0.858112 | − | 4.86659i | 0.0348297 | − | 0.197529i | −0.962428 | − | 0.271537i | \(-0.912468\pi\) |
0.997258 | + | 0.0740083i | \(0.0235791\pi\) | |||||||
\(608\) | −0.484523 | + | 2.74787i | −0.0196500 | + | 0.111441i | ||||
\(609\) | −3.36948 | + | 6.62264i | −0.136538 | + | 0.268363i | ||||
\(610\) | −15.3491 | + | 12.8794i | −0.621465 | + | 0.521471i | ||||
\(611\) | 13.1134 | − | 22.7131i | 0.530513 | − | 0.918875i | ||||
\(612\) | −12.6895 | + | 13.1715i | −0.512945 | + | 0.532426i | ||||
\(613\) | −3.00127 | − | 5.19836i | −0.121220 | − | 0.209960i | 0.799029 | − | 0.601293i | \(-0.205347\pi\) |
−0.920249 | + | 0.391333i | \(0.872014\pi\) | |||||||
\(614\) | 10.0348 | + | 3.65238i | 0.404973 | + | 0.147398i | ||||
\(615\) | 8.93822 | − | 3.80028i | 0.360424 | − | 0.153242i | ||||
\(616\) | −0.960783 | − | 0.806193i | −0.0387110 | − | 0.0324824i | ||||
\(617\) | −39.7116 | + | 14.4539i | −1.59873 | + | 0.581890i | −0.979167 | − | 0.203057i | \(-0.934912\pi\) |
−0.619563 | + | 0.784947i | \(0.712690\pi\) | |||||||
\(618\) | 0.620461 | − | 0.579274i | 0.0249586 | − | 0.0233018i | ||||
\(619\) | −4.67530 | − | 26.5149i | −0.187916 | − | 1.06572i | −0.922151 | − | 0.386830i | \(-0.873570\pi\) |
0.734235 | − | 0.678895i | \(-0.237541\pi\) | |||||||
\(620\) | 3.04733 | 0.122384 | ||||||||
\(621\) | −11.4881 | − | 6.87511i | −0.461002 | − | 0.275889i | ||||
\(622\) | 15.3346 | 0.614862 | ||||||||
\(623\) | 2.91866 | + | 16.5525i | 0.116933 | + | 0.663163i | ||||
\(624\) | 1.46704 | + | 6.33737i | 0.0587285 | + | 0.253698i | ||||
\(625\) | 9.79102 | − | 3.56364i | 0.391641 | − | 0.142546i | ||||
\(626\) | −9.95410 | − | 8.35248i | −0.397846 | − | 0.333832i | ||||
\(627\) | −4.84304 | − | 3.64501i | −0.193412 | − | 0.145568i | ||||
\(628\) | 11.0167 | + | 4.00975i | 0.439614 | + | 0.160006i | ||||
\(629\) | −4.26579 | − | 7.38856i | −0.170088 | − | 0.294601i | ||||
\(630\) | 5.11158 | − | 0.543349i | 0.203650 | − | 0.0216476i | ||||
\(631\) | −9.17121 | + | 15.8850i | −0.365100 | + | 0.632372i | −0.988792 | − | 0.149298i | \(-0.952299\pi\) |
0.623692 | + | 0.781670i | \(0.285632\pi\) | |||||||
\(632\) | −0.950569 | + | 0.797622i | −0.0378116 | + | 0.0317277i | ||||
\(633\) | 19.4182 | + | 29.8628i | 0.771804 | + | 1.18694i | ||||
\(634\) | 1.69235 | − | 9.59781i | 0.0672119 | − | 0.381178i | ||||
\(635\) | −1.98409 | + | 11.2523i | −0.0787362 | + | 0.446535i | ||||
\(636\) | 6.13048 | − | 0.324913i | 0.243089 | − | 0.0128836i | ||||
\(637\) | −2.87699 | + | 2.41408i | −0.113990 | + | 0.0956493i | ||||
\(638\) | −2.69030 | + | 4.65974i | −0.106510 | + | 0.184481i | ||||
\(639\) | 30.6379 | − | 14.9879i | 1.21202 | − | 0.592912i | ||||
\(640\) | −0.856730 | − | 1.48390i | −0.0338652 | − | 0.0586563i | ||||
\(641\) | 2.30577 | + | 0.839230i | 0.0910723 | + | 0.0331476i | 0.387154 | − | 0.922015i | \(-0.373458\pi\) |
−0.296082 | + | 0.955162i | \(0.595680\pi\) | |||||||
\(642\) | −0.861878 | + | 7.05384i | −0.0340156 | + | 0.278393i | ||||
\(643\) | −15.7539 | − | 13.2191i | −0.621275 | − | 0.521312i | 0.276929 | − | 0.960890i | \(-0.410683\pi\) |
−0.898204 | + | 0.439579i | \(0.855128\pi\) | |||||||
\(644\) | −2.42118 | + | 0.881236i | −0.0954077 | + | 0.0347256i | ||||
\(645\) | 21.7221 | + | 6.62710i | 0.855307 | + | 0.260942i | ||||
\(646\) | 2.95393 | + | 16.7526i | 0.116221 | + | 0.659120i | ||||
\(647\) | 34.4411 | 1.35402 | 0.677010 | − | 0.735974i | \(-0.263275\pi\) | ||||
0.677010 | + | 0.735974i | \(0.263275\pi\) | |||||||
\(648\) | 5.52420 | − | 7.10516i | 0.217011 | − | 0.279117i | ||||
\(649\) | 10.2539 | 0.402501 | ||||||||
\(650\) | 1.34610 | + | 7.63408i | 0.0527982 | + | 0.299433i | ||||
\(651\) | 2.94632 | + | 0.898880i | 0.115475 | + | 0.0352299i | ||||
\(652\) | 22.5924 | − | 8.22294i | 0.884785 | − | 0.322035i | ||||
\(653\) | 1.89648 | + | 1.59133i | 0.0742149 | + | 0.0622737i | 0.679140 | − | 0.734008i | \(-0.262353\pi\) |
−0.604926 | + | 0.796282i | \(0.706797\pi\) | |||||||
\(654\) | 2.21244 | − | 18.1072i | 0.0865134 | − | 0.708049i | ||||
\(655\) | 0.200322 | + | 0.0729114i | 0.00782725 | + | 0.00284889i | ||||
\(656\) | −1.63632 | − | 2.83420i | −0.0638877 | − | 0.110657i | ||||
\(657\) | 1.37685 | − | 20.0296i | 0.0537161 | − | 0.781428i | ||||
\(658\) | −3.49166 | + | 6.04774i | −0.136119 | + | 0.235765i | ||||
\(659\) | 26.9032 | − | 22.5745i | 1.04800 | − | 0.879378i | 0.0551197 | − | 0.998480i | \(-0.482446\pi\) |
0.992882 | + | 0.119102i | \(0.0380015\pi\) | |||||||
\(660\) | 3.71704 | − | 0.197001i | 0.144685 | − | 0.00766826i | ||||
\(661\) | 3.92439 | − | 22.2563i | 0.152641 | − | 0.865671i | −0.808270 | − | 0.588812i | \(-0.799596\pi\) |
0.960911 | − | 0.276858i | \(-0.0892932\pi\) | |||||||
\(662\) | −0.516827 | + | 2.93107i | −0.0200871 | + | 0.113919i | ||||
\(663\) | 21.6189 | + | 33.2472i | 0.839607 | + | 1.29121i | ||||
\(664\) | −4.22391 | + | 3.54428i | −0.163919 | + | 0.137545i | ||||
\(665\) | 2.39050 | − | 4.14046i | 0.0926995 | − | 0.160560i | ||||
\(666\) | 2.47166 | + | 3.39352i | 0.0957749 | + | 0.131496i | ||||
\(667\) | 5.52675 | + | 9.57261i | 0.213997 | + | 0.370653i | ||||
\(668\) | 6.91273 | + | 2.51603i | 0.267461 | + | 0.0973480i | ||||
\(669\) | −38.6836 | − | 29.1144i | −1.49559 | − | 1.12563i | ||||
\(670\) | −20.4480 | − | 17.1579i | −0.789974 | − | 0.662867i | ||||
\(671\) | −13.7820 | + | 5.01622i | −0.532046 | + | 0.193649i | ||||
\(672\) | −0.390623 | − | 1.68743i | −0.0150686 | − | 0.0650940i | ||||
\(673\) | −6.10431 | − | 34.6192i | −0.235304 | − | 1.33447i | −0.841973 | − | 0.539520i | \(-0.818606\pi\) |
0.606669 | − | 0.794954i | \(-0.292505\pi\) | |||||||
\(674\) | −11.7371 | −0.452098 | ||||||||
\(675\) | 7.02199 | − | 8.10682i | 0.270277 | − | 0.312032i | ||||
\(676\) | 1.10483 | 0.0424935 | ||||||||
\(677\) | −6.38106 | − | 36.1888i | −0.245244 | − | 1.39085i | −0.819925 | − | 0.572470i | \(-0.805985\pi\) |
0.574681 | − | 0.818377i | \(-0.305126\pi\) | |||||||
\(678\) | −8.64131 | + | 8.06769i | −0.331868 | + | 0.309838i | ||||
\(679\) | −13.6366 | + | 4.96332i | −0.523325 | + | 0.190475i | ||||
\(680\) | −8.00226 | − | 6.71470i | −0.306873 | − | 0.257497i | ||||
\(681\) | −15.3237 | + | 6.51520i | −0.587205 | + | 0.249663i | ||||
\(682\) | 2.09605 | + | 0.762901i | 0.0802620 | + | 0.0292130i | ||||
\(683\) | 3.40776 | + | 5.90241i | 0.130394 | + | 0.225849i | 0.923829 | − | 0.382806i | \(-0.125042\pi\) |
−0.793434 | + | 0.608656i | \(0.791709\pi\) | |||||||
\(684\) | −2.31679 | − | 8.04378i | −0.0885848 | − | 0.307562i | ||||
\(685\) | 2.68216 | − | 4.64564i | 0.102480 | − | 0.177501i | ||||
\(686\) | 0.766044 | − | 0.642788i | 0.0292477 | − | 0.0245417i | ||||
\(687\) | −14.0690 | + | 27.6522i | −0.536764 | + | 1.05500i | ||||
\(688\) | 1.32881 | − | 7.53606i | 0.0506604 | − | 0.287310i | ||||
\(689\) | 2.31152 | − | 13.1093i | 0.0880618 | − | 0.499423i | ||||
\(690\) | 3.46751 | − | 6.81532i | 0.132006 | − | 0.259455i | ||||
\(691\) | −4.27495 | + | 3.58711i | −0.162627 | + | 0.136460i | −0.720469 | − | 0.693487i | \(-0.756074\pi\) |
0.557843 | + | 0.829947i | \(0.311629\pi\) | |||||||
\(692\) | 10.4081 | − | 18.0274i | 0.395658 | − | 0.685299i | ||||
\(693\) | 3.65194 | + | 0.905955i | 0.138726 | + | 0.0344144i | ||||
\(694\) | 13.4036 | + | 23.2157i | 0.508794 | + | 0.881257i | ||||
\(695\) | −11.9838 | − | 4.36174i | −0.454571 | − | 0.165450i | ||||
\(696\) | −6.83813 | + | 2.90738i | −0.259199 | + | 0.110204i | ||||
\(697\) | −15.2841 | − | 12.8248i | −0.578925 | − | 0.485776i | ||||
\(698\) | −7.28345 | + | 2.65096i | −0.275683 | + | 0.100340i | ||||
\(699\) | −5.95449 | + | 5.55923i | −0.225220 | + | 0.210269i | ||||
\(700\) | −0.358420 | − | 2.03270i | −0.0135470 | − | 0.0768288i | ||||
\(701\) | 17.6988 | 0.668473 | 0.334237 | − | 0.942489i | \(-0.391521\pi\) | ||||
0.334237 | + | 0.942489i | \(0.391521\pi\) | |||||||
\(702\) | −12.3079 | − | 15.1441i | −0.464533 | − | 0.571579i | ||||
\(703\) | 3.90471 | 0.147269 | ||||||||
\(704\) | −0.217792 | − | 1.23516i | −0.00820834 | − | 0.0465518i | ||||
\(705\) | −4.67405 | − | 20.1912i | −0.176035 | − | 0.760444i | ||||
\(706\) | −1.65589 | + | 0.602696i | −0.0623204 | + | 0.0226828i | ||||
\(707\) | −10.4280 | − | 8.75009i | −0.392184 | − | 0.329081i | ||||
\(708\) | 11.3141 | + | 8.51533i | 0.425211 | + | 0.320026i | ||||
\(709\) | −7.27144 | − | 2.64659i | −0.273085 | − | 0.0993947i | 0.201848 | − | 0.979417i | \(-0.435305\pi\) |
−0.474933 | + | 0.880022i | \(0.657528\pi\) | |||||||
\(710\) | 9.74029 | + | 16.8707i | 0.365547 | + | 0.633145i | ||||
\(711\) | 1.51012 | − | 3.40259i | 0.0566339 | − | 0.127607i | ||||
\(712\) | −8.40393 | + | 14.5560i | −0.314951 | + | 0.545511i | ||||
\(713\) | 3.51026 | − | 2.94546i | 0.131460 | − | 0.110308i | ||||
\(714\) | −5.75637 | − | 8.85259i | −0.215427 | − | 0.331300i | ||||
\(715\) | 1.40152 | − | 7.94842i | 0.0524139 | − | 0.297254i | ||||
\(716\) | 1.71341 | − | 9.71721i | 0.0640330 | − | 0.363149i | ||||
\(717\) | −43.5251 | + | 2.30681i | −1.62547 | + | 0.0861494i | ||||
\(718\) | 13.0944 | − | 10.9875i | 0.488678 | − | 0.410050i | ||||
\(719\) | 0.415956 | − | 0.720458i | 0.0155126 | − | 0.0268685i | −0.858165 | − | 0.513374i | \(-0.828395\pi\) |
0.873677 | + | 0.486506i | \(0.161729\pi\) | |||||||
\(720\) | 4.26496 | + | 2.86943i | 0.158946 | + | 0.106937i | ||||
\(721\) | 0.245039 | + | 0.424420i | 0.00912574 | + | 0.0158062i | ||||
\(722\) | 10.5381 | + | 3.83557i | 0.392189 | + | 0.142745i | ||||
\(723\) | −0.786374 | + | 6.43590i | −0.0292456 | + | 0.239354i | ||||
\(724\) | −0.290167 | − | 0.243479i | −0.0107840 | − | 0.00904882i | ||||
\(725\) | −8.32083 | + | 3.02854i | −0.309028 | + | 0.112477i | ||||
\(726\) | −15.6173 | − | 4.76462i | −0.579613 | − | 0.176832i | ||||
\(727\) | 2.54091 | + | 14.4102i | 0.0942371 | + | 0.534445i | 0.994978 | + | 0.100089i | \(0.0319128\pi\) |
−0.900741 | + | 0.434356i | \(0.856976\pi\) | |||||||
\(728\) | −3.75564 | −0.139193 | ||||||||
\(729\) | −5.52007 | + | 26.4297i | −0.204447 | + | 0.978878i | ||||
\(730\) | 11.4670 | 0.424411 | ||||||||
\(731\) | −8.10118 | − | 45.9441i | −0.299633 | − | 1.69930i | ||||
\(732\) | −19.3726 | − | 5.91031i | −0.716034 | − | 0.218451i | ||||
\(733\) | 8.82838 | − | 3.21327i | 0.326084 | − | 0.118685i | −0.173791 | − | 0.984783i | \(-0.555602\pi\) |
0.499874 | + | 0.866098i | \(0.333379\pi\) | |||||||
\(734\) | −10.9253 | − | 9.16739i | −0.403259 | − | 0.338375i | ||||
\(735\) | −0.359945 | + | 2.94589i | −0.0132768 | + | 0.108661i | ||||
\(736\) | −2.42118 | − | 0.881236i | −0.0892457 | − | 0.0324828i | ||||
\(737\) | −9.76931 | − | 16.9209i | −0.359857 | − | 0.623291i | ||||
\(738\) | 8.14592 | + | 5.48052i | 0.299856 | + | 0.201741i | ||||
\(739\) | 19.3348 | − | 33.4889i | 0.711242 | − | 1.23191i | −0.253149 | − | 0.967427i | \(-0.581466\pi\) |
0.964391 | − | 0.264481i | \(-0.0852005\pi\) | |||||||
\(740\) | −1.83684 | + | 1.54129i | −0.0675237 | + | 0.0566591i | ||||
\(741\) | −18.1251 | + | 0.960621i | −0.665842 | + | 0.0352893i | ||||
\(742\) | −0.615479 | + | 3.49056i | −0.0225950 | + | 0.128142i | ||||
\(743\) | 0.115651 | − | 0.655890i | 0.00424282 | − | 0.0240623i | −0.982613 | − | 0.185666i | \(-0.940556\pi\) |
0.986856 | + | 0.161604i | \(0.0516668\pi\) | |||||||
\(744\) | 1.67922 | + | 2.58244i | 0.0615634 | + | 0.0946769i | ||||
\(745\) | −21.0615 | + | 17.6727i | −0.771634 | + | 0.647478i | ||||
\(746\) | 15.8104 | − | 27.3844i | 0.578860 | − | 1.00261i | ||||
\(747\) | 6.71030 | − | 15.1196i | 0.245517 | − | 0.553197i | ||||
\(748\) | −3.82319 | − | 6.62197i | −0.139790 | − | 0.242123i | ||||
\(749\) | −3.85539 | − | 1.40325i | −0.140873 | − | 0.0512736i | ||||
\(750\) | 16.7506 | + | 12.6070i | 0.611645 | + | 0.460342i | ||||
\(751\) | −13.7199 | − | 11.5123i | −0.500645 | − | 0.420091i | 0.357178 | − | 0.934036i | \(-0.383739\pi\) |
−0.857823 | + | 0.513945i | \(0.828183\pi\) | |||||||
\(752\) | −6.56218 | + | 2.38844i | −0.239298 | + | 0.0870974i | ||||
\(753\) | −8.30833 | − | 35.8907i | −0.302772 | − | 1.30793i | ||||
\(754\) | 2.79778 | + | 15.8670i | 0.101889 | + | 0.577842i | ||||
\(755\) | −29.9378 | −1.08955 | ||||||||
\(756\) | 3.27719 | + | 4.03237i | 0.119190 | + | 0.146656i | ||||
\(757\) | −39.4556 | −1.43404 | −0.717019 | − | 0.697053i | \(-0.754494\pi\) | ||||
−0.717019 | + | 0.697053i | \(0.754494\pi\) | |||||||
\(758\) | 4.98140 | + | 28.2509i | 0.180933 | + | 1.02612i | ||||
\(759\) | 4.09129 | − | 3.81971i | 0.148505 | − | 0.138647i | ||||
\(760\) | 4.49267 | − | 1.63520i | 0.162966 | − | 0.0593148i | ||||
\(761\) | 23.4940 | + | 19.7138i | 0.851657 | + | 0.714625i | 0.960154 | − | 0.279472i | \(-0.0901594\pi\) |
−0.108497 | + | 0.994097i | \(0.534604\pi\) | |||||||
\(762\) | −10.6291 | + | 4.51917i | −0.385050 | + | 0.163712i | ||||
\(763\) | 9.89681 | + | 3.60215i | 0.358289 | + | 0.130406i | ||||
\(764\) | −6.52081 | − | 11.2944i | −0.235915 | − | 0.408616i | ||||
\(765\) | 30.4167 | + | 7.54561i | 1.09972 | + | 0.272812i | ||||
\(766\) | 3.74027 | − | 6.47834i | 0.135141 | − | 0.234072i | ||||
\(767\) | 23.5210 | − | 19.7365i | 0.849295 | − | 0.712643i | ||||
\(768\) | 0.785424 | − | 1.54373i | 0.0283415 | − | 0.0557046i | ||||
\(769\) | 3.91627 | − | 22.2102i | 0.141224 | − | 0.800922i | −0.829097 | − | 0.559104i | \(-0.811145\pi\) |
0.970322 | − | 0.241818i | \(-0.0777437\pi\) | |||||||
\(770\) | −0.373177 | + | 2.11639i | −0.0134484 | + | 0.0762696i | ||||
\(771\) | 25.1432 | − | 49.4183i | 0.905508 | − | 1.77976i | ||||
\(772\) | −11.5863 | + | 9.72204i | −0.416999 | + | 0.349904i | ||||
\(773\) | −23.3947 | + | 40.5209i | −0.841450 | + | 1.45743i | 0.0472189 | + | 0.998885i | \(0.484964\pi\) |
−0.888669 | + | 0.458550i | \(0.848369\pi\) | |||||||
\(774\) | 6.35383 | + | 22.0601i | 0.228384 | + | 0.792936i | ||||
\(775\) | 1.83542 | + | 3.17905i | 0.0659304 | + | 0.114195i | ||||
\(776\) | −13.6366 | − | 4.96332i | −0.489526 | − | 0.178173i | ||||
\(777\) | −2.23060 | + | 0.948388i | −0.0800224 | + | 0.0340232i | ||||
\(778\) | −8.45937 | − | 7.09826i | −0.303283 | − | 0.254485i | ||||
\(779\) | 8.58084 | − | 3.12317i | 0.307440 | − | 0.111899i | ||||
\(780\) | 8.14717 | − | 7.60635i | 0.291715 | − | 0.272351i | ||||
\(781\) | 2.47611 | + | 14.0427i | 0.0886021 | + | 0.502488i | ||||
\(782\) | −15.7082 | −0.561723 | ||||||||
\(783\) | 14.5948 | − | 16.8495i | 0.521576 | − | 0.602154i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −3.48827 | − | 19.7829i | −0.124502 | − | 0.706083i | ||||
\(786\) | 0.0485990 | + | 0.209940i | 0.00173347 | + | 0.00748831i | ||||
\(787\) | −35.5802 | + | 12.9501i | −1.26830 | + | 0.461622i | −0.886545 | − | 0.462643i | \(-0.846901\pi\) |
−0.381752 | + | 0.924265i | \(0.624679\pi\) | |||||||
\(788\) | −16.0606 | − | 13.4764i | −0.572134 | − | 0.480077i | ||||
\(789\) | 14.1399 | + | 10.6421i | 0.503395 | + | 0.378870i | ||||
\(790\) | 1.99797 | + | 0.727203i | 0.0710847 | + | 0.0258727i | ||||
\(791\) | −3.41272 | − | 5.91101i | −0.121342 | − | 0.210171i | ||||
\(792\) | 2.21521 | + | 3.04143i | 0.0787142 | + | 0.108072i | ||||
\(793\) | −21.9588 | + | 38.0337i | −0.779778 | + | 1.35062i | ||||
\(794\) | 24.5122 | − | 20.5682i | 0.869906 | − | 0.729938i | ||||
\(795\) | −5.73430 | − | 8.81866i | −0.203375 | − | 0.312766i | ||||
\(796\) | 3.29891 | − | 18.7091i | 0.116927 | − | 0.663125i | ||||
\(797\) | 2.04003 | − | 11.5696i | 0.0722617 | − | 0.409816i | −0.927123 | − | 0.374756i | \(-0.877727\pi\) |
0.999385 | − | 0.0350605i | \(-0.0111624\pi\) | |||||||
\(798\) | 4.82610 | − | 0.255781i | 0.170842 | − | 0.00905455i | ||||
\(799\) | −32.6138 | + | 27.3662i | −1.15379 | + | 0.968148i | ||||
\(800\) | 1.03203 | − | 1.78753i | 0.0364877 | − | 0.0631986i | ||||
\(801\) | 3.45800 | − | 50.3049i | 0.122182 | − | 1.77744i | ||||
\(802\) | −0.331419 | − | 0.574034i | −0.0117028 | − | 0.0202698i | ||||
\(803\) | 7.88735 | + | 2.87076i | 0.278339 | + | 0.101307i | ||||
\(804\) | 3.27254 | − | 26.7834i | 0.115414 | − | 0.944577i | ||||
\(805\) | 3.38196 | + | 2.83780i | 0.119198 | + | 0.100019i | ||||
\(806\) | 6.27646 | − | 2.28445i | 0.221079 | − | 0.0804661i | ||||
\(807\) | 30.5892 | + | 9.33232i | 1.07679 | + | 0.328513i | ||||
\(808\) | −2.36383 | − | 13.4059i | −0.0831591 | − | 0.471619i | ||||
\(809\) | 21.1089 | 0.742150 | 0.371075 | − | 0.928603i | \(-0.378989\pi\) | ||||
0.371075 | + | 0.928603i | \(0.378989\pi\) | |||||||
\(810\) | −15.2761 | − | 2.11015i | −0.536747 | − | 0.0741432i | ||||
\(811\) | 21.5118 | 0.755383 | 0.377692 | − | 0.925931i | \(-0.376718\pi\) | ||||
0.377692 | + | 0.925931i | \(0.376718\pi\) | |||||||
\(812\) | −0.744954 | − | 4.22485i | −0.0261428 | − | 0.148263i | ||||
\(813\) | 21.2026 | + | 6.46860i | 0.743607 | + | 0.226864i | ||||
\(814\) | −1.64931 | + | 0.600299i | −0.0578082 | + | 0.0210405i | ||||
\(815\) | −31.5576 | − | 26.4799i | −1.10541 | − | 0.927552i | ||||
\(816\) | 1.28070 | − | 10.4816i | 0.0448335 | − | 0.366930i | ||||
\(817\) | 20.0643 | + | 7.30279i | 0.701960 | + | 0.255492i | ||||
\(818\) | 12.8978 | + | 22.3396i | 0.450960 | + | 0.781085i | ||||
\(819\) | 10.1208 | − | 4.95104i | 0.353650 | − | 0.173003i | ||||
\(820\) | −2.80378 | + | 4.85628i | −0.0979121 | + | 0.169589i | ||||
\(821\) | 18.7703 | − | 15.7501i | 0.655086 | − | 0.549683i | −0.253523 | − | 0.967329i | \(-0.581589\pi\) |
0.908610 | + | 0.417646i | \(0.137145\pi\) | |||||||
\(822\) | 5.41493 | − | 0.286989i | 0.188867 | − | 0.0100099i | ||||
\(823\) | −2.30464 | + | 13.0703i | −0.0803348 | + | 0.455602i | 0.917931 | + | 0.396739i | \(0.129858\pi\) |
−0.998266 | + | 0.0588621i | \(0.981253\pi\) | |||||||
\(824\) | −0.0851012 | + | 0.482633i | −0.00296464 | + | 0.0168133i | ||||
\(825\) | 2.44431 | + | 3.75905i | 0.0851000 | + | 0.130873i | ||||
\(826\) | −6.26285 | + | 5.25516i | −0.217913 | + | 0.182850i | ||||
\(827\) | −7.74580 | + | 13.4161i | −0.269348 | + | 0.466524i | −0.968694 | − | 0.248259i | \(-0.920141\pi\) |
0.699346 | + | 0.714784i | \(0.253475\pi\) | |||||||
\(828\) | 7.68638 | − | 0.817044i | 0.267120 | − | 0.0283943i | ||||
\(829\) | 0.649236 | + | 1.12451i | 0.0225489 | + | 0.0390558i | 0.877080 | − | 0.480345i | \(-0.159489\pi\) |
−0.854531 | + | 0.519401i | \(0.826155\pi\) | |||||||
\(830\) | 8.87810 | + | 3.23137i | 0.308163 | + | 0.112162i | ||||
\(831\) | −20.5390 | − | 15.4582i | −0.712490 | − | 0.536241i | ||||
\(832\) | −2.87699 | − | 2.41408i | −0.0997416 | − | 0.0836931i | ||||
\(833\) | 5.72890 | − | 2.08515i | 0.198494 | − | 0.0722461i | ||||
\(834\) | −2.90731 | − | 12.5591i | −0.100672 | − | 0.434887i | ||||
\(835\) | −2.18881 | − | 12.4133i | −0.0757468 | − | 0.429582i | ||||
\(836\) | 3.49958 | 0.121035 | ||||||||
\(837\) | −7.92964 | − | 4.74552i | −0.274089 | − | 0.164029i | ||||
\(838\) | −9.14299 | −0.315839 | ||||||||
\(839\) | 4.64390 | + | 26.3368i | 0.160325 | + | 0.909249i | 0.953755 | + | 0.300587i | \(0.0971824\pi\) |
−0.793429 | + | 0.608662i | \(0.791706\pi\) | |||||||
\(840\) | −2.16932 | + | 2.02531i | −0.0748485 | + | 0.0698800i | ||||
\(841\) | 9.95673 | − | 3.62395i | 0.343335 | − | 0.124964i | ||||
\(842\) | 17.8021 | + | 14.9377i | 0.613500 | + | 0.514787i | ||||
\(843\) | 7.74573 | − | 3.29326i | 0.266777 | − | 0.113426i | ||||
\(844\) | −19.3255 | − | 7.03391i | −0.665211 | − | 0.242117i | ||||
\(845\) | −0.946542 | − | 1.63946i | −0.0325620 | − | 0.0563991i | ||||
\(846\) | 14.5353 | − | 15.0873i | 0.499733 | − | 0.518713i | ||||
\(847\) | 4.71347 | − | 8.16398i | 0.161957 | − | 0.280518i | ||||
\(848\) | −2.71517 | + | 2.27830i | −0.0932393 | + | 0.0782371i | ||||
\(849\) | −14.7418 | + | 28.9748i | −0.505939 | + | 0.994411i | ||||
\(850\) | 2.18513 | − | 12.3925i | 0.0749493 | − | 0.425058i | ||||
\(851\) | −0.626116 | + | 3.55088i | −0.0214630 | + | 0.121723i | ||||
\(852\) | −8.92960 | + | 17.5509i | −0.305923 | + | 0.601285i | ||||
\(853\) | 34.0714 | − | 28.5893i | 1.16658 | − | 0.978878i | 0.166607 | − | 0.986023i | \(-0.446719\pi\) |
0.999974 | + | 0.00714556i | \(0.00227452\pi\) | |||||||
\(854\) | 5.84687 | − | 10.1271i | 0.200076 | − | 0.346542i | ||||
\(855\) | −9.95129 | + | 10.3292i | −0.340327 | + | 0.353252i | ||||
\(856\) | −2.05141 | − | 3.55315i | −0.0701158 | − | 0.121444i | ||||
\(857\) | −5.55120 | − | 2.02047i | −0.189625 | − | 0.0690180i | 0.245462 | − | 0.969406i | \(-0.421060\pi\) |
−0.435087 | + | 0.900388i | \(0.643283\pi\) | |||||||
\(858\) | 7.50815 | − | 3.19225i | 0.256324 | − | 0.108982i | ||||
\(859\) | −20.3020 | − | 17.0354i | −0.692694 | − | 0.581239i | 0.226991 | − | 0.973897i | \(-0.427111\pi\) |
−0.919685 | + | 0.392658i | \(0.871556\pi\) | |||||||
\(860\) | −12.3212 | + | 4.48454i | −0.420149 | + | 0.152922i | ||||
\(861\) | −4.14332 | + | 3.86828i | −0.141204 | + | 0.131831i | ||||
\(862\) | −1.04138 | − | 5.90596i | −0.0354695 | − | 0.201158i | ||||
\(863\) | −29.4642 | −1.00297 | −0.501487 | − | 0.865165i | \(-0.667214\pi\) | ||||
−0.501487 | + | 0.865165i | \(0.667214\pi\) | |||||||
\(864\) | −0.0814873 | + | 5.19551i | −0.00277225 | + | 0.176755i | ||||
\(865\) | −35.6678 | −1.21274 | ||||||||
\(866\) | 2.20211 | + | 12.4888i | 0.0748308 | + | 0.424386i | ||||
\(867\) | −7.87811 | − | 34.0322i | −0.267555 | − | 1.15579i | ||||
\(868\) | −1.67121 | + | 0.608270i | −0.0567245 | + | 0.0206460i | ||||
\(869\) | 1.19222 | + | 1.00039i | 0.0404432 | + | 0.0339358i | ||||
\(870\) | 10.1727 | + | 7.65626i | 0.344886 | + | 0.259571i | ||||
\(871\) | −54.9784 | − | 20.0105i | −1.86287 | − | 0.678030i | ||||
\(872\) | 5.26598 | + | 9.12095i | 0.178329 | + | 0.308874i | ||||
\(873\) | 43.2914 | − | 4.60178i | 1.46519 | − | 0.155747i | ||||
\(874\) | 3.59464 | − | 6.22609i | 0.121590 | − | 0.210601i | ||||
\(875\) | −9.27218 | + | 7.78029i | −0.313457 | + | 0.263022i | ||||
\(876\) | 6.31885 | + | 9.71762i | 0.213494 | + | 0.328328i | ||||
\(877\) | 3.82766 | − | 21.7077i | 0.129251 | − | 0.733018i | −0.849441 | − | 0.527684i | \(-0.823061\pi\) |
0.978692 | − | 0.205334i | \(-0.0658282\pi\) | |||||||
\(878\) | −3.49004 | + | 19.7930i | −0.117783 | + | 0.667982i | ||||
\(879\) | 25.2359 | − | 1.33749i | 0.851186 | − | 0.0451125i | ||||
\(880\) | −1.64626 | + | 1.38138i | −0.0554955 | + | 0.0465663i | ||||
\(881\) | 1.49650 | − | 2.59201i | 0.0504182 | − | 0.0873269i | −0.839715 | − | 0.543028i | \(-0.817278\pi\) |
0.890133 | + | 0.455701i | \(0.150611\pi\) | |||||||
\(882\) | −2.69483 | + | 1.31830i | −0.0907396 | + | 0.0443893i | ||||
\(883\) | 20.2298 | + | 35.0390i | 0.680786 | + | 1.17916i | 0.974741 | + | 0.223336i | \(0.0716949\pi\) |
−0.293956 | + | 0.955819i | \(0.594972\pi\) | |||||||
\(884\) | −21.5157 | − | 7.83106i | −0.723650 | − | 0.263387i | ||||
\(885\) | 2.94276 | − | 24.0844i | 0.0989198 | − | 0.809587i | ||||
\(886\) | 25.1520 | + | 21.1050i | 0.844997 | + | 0.709036i | ||||
\(887\) | −1.58338 | + | 0.576305i | −0.0531648 | + | 0.0193504i | −0.368466 | − | 0.929641i | \(-0.620117\pi\) |
0.315301 | + | 0.948992i | \(0.397895\pi\) | |||||||
\(888\) | −2.31835 | − | 0.707296i | −0.0777988 | − | 0.0237353i | ||||
\(889\) | −1.15794 | − | 6.56702i | −0.0388362 | − | 0.220251i | ||||
\(890\) | 28.7996 | 0.965365 | ||||||||
\(891\) | −9.97912 | − | 5.27581i | −0.334313 | − | 0.176746i | ||||
\(892\) | 27.9527 | 0.935927 | ||||||||
\(893\) | −3.38359 | − | 19.1893i | −0.113227 | − | 0.642144i | ||||
\(894\) | −26.5826 | − | 8.10995i | −0.889054 | − | 0.271237i | ||||
\(895\) | −15.8873 | + | 5.78250i | −0.531053 | + | 0.193288i | ||||
\(896\) | 0.766044 | + | 0.642788i | 0.0255917 | + | 0.0214740i | ||||
\(897\) | 2.03276 | − | 16.6367i | 0.0678720 | − | 0.555483i | ||||
\(898\) | −33.4612 | − | 12.1789i | −1.11661 | − | 0.406414i | ||||
\(899\) | 3.81482 | + | 6.60747i | 0.127231 | + | 0.220371i | ||||
\(900\) | −0.424653 | + | 6.17759i | −0.0141551 | + | 0.205920i | ||||
\(901\) | −10.8043 | + | 18.7137i | −0.359945 | + | 0.623443i | ||||
\(902\) | −3.14431 | + | 2.63839i | −0.104694 | + | 0.0878486i | ||||
\(903\) | −13.2356 | + | 0.701482i | −0.440454 | + | 0.0233439i | ||||
\(904\) | 1.18523 | − | 6.72175i | 0.0394200 | − | 0.223562i | ||||
\(905\) | −0.112704 | + | 0.639174i | −0.00374640 | + | 0.0212469i | ||||
\(906\) | −16.4972 | − | 25.3706i | −0.548082 | − | 0.842883i | ||||
\(907\) | 12.2402 | − | 10.2708i | 0.406430 | − | 0.341035i | −0.416543 | − | 0.909116i | \(-0.636758\pi\) |
0.822973 | + | 0.568081i | \(0.192314\pi\) | |||||||
\(908\) | 4.80679 | − | 8.32561i | 0.159519 | − | 0.276295i | ||||
\(909\) | 24.0431 | + | 33.0104i | 0.797458 | + | 1.09489i | ||||
\(910\) | 3.21757 | + | 5.57299i | 0.106661 | + | 0.184743i | ||||
\(911\) | 28.5440 | + | 10.3892i | 0.945706 | + | 0.344209i | 0.768417 | − | 0.639950i | \(-0.221045\pi\) |
0.177289 | + | 0.984159i | \(0.443267\pi\) | |||||||
\(912\) | 3.86142 | + | 2.90622i | 0.127864 | + | 0.0962344i | ||||
\(913\) | 5.29768 | + | 4.44528i | 0.175328 | + | 0.147117i | ||||
\(914\) | −15.1637 | + | 5.51915i | −0.501572 | + | 0.182557i | ||||
\(915\) | 7.82681 | + | 33.8106i | 0.258746 | + | 1.11774i | ||||
\(916\) | −3.11049 | − | 17.6404i | −0.102773 | − | 0.582857i | ||||
\(917\) | −0.124414 | −0.00410852 | ||||||||
\(918\) | 10.3666 | + | 29.9345i | 0.342148 | + | 0.987985i | ||||
\(919\) | 22.9564 | 0.757262 | 0.378631 | − | 0.925548i | \(-0.376395\pi\) | ||||
0.378631 | + | 0.925548i | \(0.376395\pi\) | |||||||
\(920\) | 0.766628 | + | 4.34776i | 0.0252750 | + | 0.143341i | ||||
\(921\) | 13.5199 | − | 12.6224i | 0.445495 | − | 0.415923i | ||||
\(922\) | −35.5709 | + | 12.9467i | −1.17146 | + | 0.426378i | ||||
\(923\) | 32.7089 | + | 27.4460i | 1.07663 | + | 0.903397i | ||||
\(924\) | −1.99917 | + | 0.849989i | −0.0657678 | + | 0.0279626i | ||||
\(925\) | −2.71426 | − | 0.987910i | −0.0892444 | − | 0.0324823i | ||||
\(926\) | 15.6584 | + | 27.1211i | 0.514567 | + | 0.891255i | ||||
\(927\) | −0.406920 | − | 1.41280i | −0.0133650 | − | 0.0464025i | ||||
\(928\) | 2.14501 | − | 3.71527i | 0.0704134 | − | 0.121960i | ||||
\(929\) | −3.77717 | + | 3.16942i | −0.123925 | + | 0.103985i | −0.702644 | − | 0.711542i | \(-0.747997\pi\) |
0.578719 | + | 0.815527i | \(0.303553\pi\) | |||||||
\(930\) | 2.39344 | − | 4.70426i | 0.0784841 | − | 0.154259i | ||||
\(931\) | −0.484523 | + | 2.74787i | −0.0158796 | + | 0.0900578i | ||||
\(932\) | 0.816706 | − | 4.63177i | 0.0267521 | − | 0.151719i | ||||
\(933\) | 12.0442 | − | 23.6725i | 0.394308 | − | 0.775004i | ||||
\(934\) | 20.0815 | − | 16.8504i | 0.657086 | − | 0.551361i | ||||
\(935\) | −6.55089 | + | 11.3465i | −0.214237 | + | 0.371069i | ||||
\(936\) | 10.9355 | + | 2.71281i | 0.357436 | + | 0.0886710i | ||||
\(937\) | 1.54514 | + | 2.67627i | 0.0504776 | + | 0.0874298i | 0.890160 | − | 0.455648i | \(-0.150592\pi\) |
−0.839683 | + | 0.543077i | \(0.817259\pi\) | |||||||
\(938\) | 14.6389 | + | 5.32812i | 0.477977 | + | 0.173969i | ||||
\(939\) | −20.7122 | + | 8.80623i | −0.675917 | + | 0.287380i | ||||
\(940\) | 9.16622 | + | 7.69137i | 0.298969 | + | 0.250865i | ||||
\(941\) | 25.5251 | − | 9.29039i | 0.832096 | − | 0.302858i | 0.109377 | − | 0.994000i | \(-0.465114\pi\) |
0.722719 | + | 0.691142i | \(0.242892\pi\) | |||||||
\(942\) | 14.8428 | − | 13.8575i | 0.483603 | − | 0.451501i | ||||
\(943\) | 1.46423 | + | 8.30408i | 0.0476820 | + | 0.270418i | ||||
\(944\) | −8.17558 | −0.266092 | ||||||||
\(945\) | 3.17597 | − | 8.31767i | 0.103314 | − | 0.270574i | ||||
\(946\) | −9.59763 | −0.312046 | ||||||||
\(947\) | 4.76379 | + | 27.0168i | 0.154802 | + | 0.877928i | 0.958966 | + | 0.283520i | \(0.0915024\pi\) |
−0.804164 | + | 0.594408i | \(0.797387\pi\) | |||||||
\(948\) | 0.484716 | + | 2.09390i | 0.0157428 | + | 0.0680066i | ||||
\(949\) | 23.6180 | − | 8.59627i | 0.766674 | − | 0.279047i | ||||
\(950\) | 4.41184 | + | 3.70198i | 0.143139 | + | 0.120108i | ||||
\(951\) | −13.4872 | − | 10.1509i | −0.437354 | − | 0.329165i | ||||
\(952\) | 5.72890 | + | 2.08515i | 0.185675 | + | 0.0675800i | ||||
\(953\) | 4.78950 | + | 8.29565i | 0.155147 | + | 0.268723i | 0.933113 | − | 0.359584i | \(-0.117082\pi\) |
−0.777966 | + | 0.628307i | \(0.783748\pi\) | |||||||
\(954\) | 4.31345 | − | 9.71902i | 0.139653 | − | 0.314665i | ||||
\(955\) | −11.1731 | + | 19.3525i | −0.361555 | + | 0.626231i | ||||
\(956\) | 19.2771 | − | 16.1754i | 0.623467 | − | 0.523151i | ||||
\(957\) | 5.08036 | + | 7.81297i | 0.164225 | + | 0.252557i | ||||
\(958\) | −0.854149 | + | 4.84412i | −0.0275963 | + | 0.156506i | ||||
\(959\) | −0.543640 | + | 3.08313i | −0.0175550 | + | 0.0995596i | ||||
\(960\) | −2.96364 | + | 0.157072i | −0.0956511 | + | 0.00506946i | ||||
\(961\) | −21.3244 | + | 17.8933i | −0.687885 | + | 0.577204i | ||||
\(962\) | −2.62784 | + | 4.55155i | −0.0847248 | + | 0.146748i | ||||
\(963\) | 10.2123 | + | 6.87076i | 0.329087 | + | 0.221407i | ||||
\(964\) | −1.87170 | − | 3.24188i | −0.0602834 | − | 0.104414i | ||||
\(965\) | 24.3528 | + | 8.86371i | 0.783946 | + | 0.285333i | ||||
\(966\) | −0.541256 | + | 4.42979i | −0.0174146 | + | 0.142526i | ||||
\(967\) | −21.0791 | − | 17.6874i | −0.677857 | − | 0.568790i | 0.237522 | − | 0.971382i | \(-0.423665\pi\) |
−0.915379 | + | 0.402592i | \(0.868109\pi\) | |||||||
\(968\) | 8.85844 | − | 3.22421i | 0.284721 | − | 0.103630i | ||||
\(969\) | 28.1815 | + | 8.59778i | 0.905322 | + | 0.276201i | ||||
\(970\) | 4.31782 | + | 24.4876i | 0.138637 | + | 0.786249i | ||||
\(971\) | 5.63993 | 0.180994 | 0.0904970 | − | 0.995897i | \(-0.471154\pi\) | ||||
0.0904970 | + | 0.995897i | \(0.471154\pi\) | |||||||
\(972\) | −6.62963 | − | 14.1084i | −0.212645 | − | 0.452528i | ||||
\(973\) | 7.44276 | 0.238604 | ||||||||
\(974\) | 0.849079 | + | 4.81537i | 0.0272062 | + | 0.154294i | ||||
\(975\) | 12.8422 | + | 3.91798i | 0.411281 | + | 0.125476i | ||||
\(976\) | 10.9885 | − | 3.99950i | 0.351734 | − | 0.128021i | ||||
\(977\) | −25.9217 | − | 21.7509i | −0.829309 | − | 0.695873i | 0.125823 | − | 0.992053i | \(-0.459843\pi\) |
−0.955132 | + | 0.296180i | \(0.904287\pi\) | |||||||
\(978\) | 5.05055 | − | 41.3350i | 0.161499 | − | 1.32175i | ||||
\(979\) | 19.8093 | + | 7.21001i | 0.633109 | + | 0.230433i | ||||
\(980\) | −0.856730 | − | 1.48390i | −0.0273672 | − | 0.0474014i | ||||
\(981\) | −26.2150 | − | 17.6373i | −0.836981 | − | 0.563115i | ||||
\(982\) | 15.1296 | − | 26.2052i | 0.482804 | − | 0.836241i | ||||
\(983\) | 22.1965 | − | 18.6251i | 0.707958 | − | 0.594047i | −0.216068 | − | 0.976378i | \(-0.569323\pi\) |
0.924025 | + | 0.382331i | \(0.124879\pi\) | |||||||
\(984\) | −5.66045 | + | 0.300001i | −0.180449 | + | 0.00956369i | ||||
\(985\) | −6.23808 | + | 35.3779i | −0.198762 | + | 1.12723i | ||||
\(986\) | 4.54166 | − | 25.7570i | 0.144636 | − | 0.820271i | ||||
\(987\) | 6.59365 | + | 10.1402i | 0.209878 | + | 0.322767i | ||||
\(988\) | 8.02754 | − | 6.73591i | 0.255390 | − | 0.214298i | ||||
\(989\) | −9.85833 | + | 17.0751i | −0.313477 | + | 0.542957i | ||||
\(990\) | 2.61533 | − | 5.89284i | 0.0831207 | − | 0.187287i | ||||
\(991\) | 18.2070 | + | 31.5355i | 0.578366 | + | 1.00176i | 0.995667 | + | 0.0929906i | \(0.0296427\pi\) |
−0.417301 | + | 0.908768i | \(0.637024\pi\) | |||||||
\(992\) | −1.67121 | − | 0.608270i | −0.0530610 | − | 0.0193126i | ||||
\(993\) | 4.11886 | + | 3.09998i | 0.130708 | + | 0.0983748i | ||||
\(994\) | −8.70928 | − | 7.30795i | −0.276242 | − | 0.231794i | ||||
\(995\) | −30.5886 | + | 11.1334i | −0.969725 | + | 0.352951i | ||||
\(996\) | 2.15386 | + | 9.30435i | 0.0682477 | + | 0.294819i | ||||
\(997\) | −3.27169 | − | 18.5547i | −0.103615 | − | 0.587632i | −0.991764 | − | 0.128076i | \(-0.959120\pi\) |
0.888149 | − | 0.459556i | \(-0.151991\pi\) | |||||||
\(998\) | −31.6259 | −1.00110 | ||||||||
\(999\) | 7.17999 | − | 1.15023i | 0.227165 | − | 0.0363917i |
(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 | 378.2.u.b.337.2 | yes | 12 | |
27.25 | even | 9 | inner | 378.2.u.b.295.2 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.b.295.2 | ✓ | 12 | 27.25 | even | 9 | inner | |
378.2.u.b.337.2 | yes | 12 | 1.1 | even | 1 | trivial |