Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,2,Mod(20,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("63.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.o (of order \(6\), degree \(2\), 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: | \(0.503057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 7x^{10} + 37x^{8} - 78x^{6} + 123x^{4} - 36x^{2} + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 20.1 | ||
Root | \(-1.29589 - 0.748185i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.20 |
Dual form | 63.2.o.a.41.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97141 | − | 1.13819i | −1.39400 | − | 0.804825i | −0.400242 | − | 0.916409i | \(-0.631074\pi\) |
−0.993755 | + | 0.111585i | \(0.964407\pi\) | |||||||
\(3\) | −0.578751 | + | 1.63250i | −0.334142 | + | 0.942523i | ||||
\(4\) | 1.59097 | + | 2.75564i | 0.795486 | + | 1.37782i | ||||
\(5\) | 0.717144 | + | 1.24213i | 0.320716 | + | 0.555497i | 0.980636 | − | 0.195839i | \(-0.0627430\pi\) |
−0.659920 | + | 0.751336i | \(0.729410\pi\) | |||||||
\(6\) | 2.99905 | − | 2.55959i | 1.22436 | − | 1.04495i | ||||
\(7\) | 2.16235 | + | 1.52455i | 0.817291 | + | 0.576225i | ||||
\(8\) | − | 2.69056i | − | 0.951257i | ||||||
\(9\) | −2.33009 | − | 1.88962i | −0.776698 | − | 0.629873i | ||||
\(10\) | − | 3.26499i | − | 1.03248i | ||||||
\(11\) | 2.80150 | + | 1.61745i | 0.844686 | + | 0.487679i | 0.858854 | − | 0.512220i | \(-0.171177\pi\) |
−0.0141686 | + | 0.999900i | \(0.504510\pi\) | |||||||
\(12\) | −5.41936 | + | 1.00243i | −1.56443 | + | 0.289375i | ||||
\(13\) | −4.43334 | + | 2.55959i | −1.22959 | + | 0.709903i | −0.966944 | − | 0.254990i | \(-0.917928\pi\) |
−0.262644 | + | 0.964893i | \(0.584594\pi\) | |||||||
\(14\) | −2.52764 | − | 5.46668i | −0.675541 | − | 1.46103i | ||||
\(15\) | −2.44282 | + | 0.451852i | −0.630733 | + | 0.116668i | ||||
\(16\) | 0.119562 | − | 0.207087i | 0.0298904 | − | 0.0517717i | ||||
\(17\) | −1.09132 | −0.264683 | −0.132341 | − | 0.991204i | \(-0.542250\pi\) | ||||
−0.132341 | + | 0.991204i | \(0.542250\pi\) | |||||||
\(18\) | 2.44282 | + | 6.37731i | 0.575778 | + | 1.50315i | ||||
\(19\) | − | 4.48911i | − | 1.02987i | −0.857228 | − | 0.514936i | \(-0.827816\pi\) | ||
0.857228 | − | 0.514936i | \(-0.172184\pi\) | |||||||
\(20\) | −2.28191 | + | 3.95238i | −0.510251 | + | 0.883780i | ||||
\(21\) | −3.74028 | + | 2.64769i | −0.816197 | + | 0.577774i | ||||
\(22\) | −3.68194 | − | 6.37731i | −0.784993 | − | 1.35965i | ||||
\(23\) | 3.47141 | − | 2.00422i | 0.723839 | − | 0.417909i | −0.0923250 | − | 0.995729i | \(-0.529430\pi\) |
0.816164 | + | 0.577820i | \(0.196097\pi\) | |||||||
\(24\) | 4.39234 | + | 1.55716i | 0.896582 | + | 0.317855i | ||||
\(25\) | 1.47141 | − | 2.54856i | 0.294282 | − | 0.509711i | ||||
\(26\) | 11.6532 | 2.28539 | ||||||||
\(27\) | 4.43334 | − | 2.71026i | 0.853197 | − | 0.521589i | ||||
\(28\) | −0.760877 | + | 8.38418i | −0.143792 | + | 1.58446i | ||||
\(29\) | 1.02859 | + | 0.593857i | 0.191004 | + | 0.110276i | 0.592453 | − | 0.805605i | \(-0.298160\pi\) |
−0.401448 | + | 0.915882i | \(0.631493\pi\) | |||||||
\(30\) | 5.33009 | + | 1.88962i | 0.973138 | + | 0.344996i | ||||
\(31\) | 3.24275 | − | 1.87220i | 0.582414 | − | 0.336257i | −0.179678 | − | 0.983726i | \(-0.557506\pi\) |
0.762092 | + | 0.647468i | \(0.224172\pi\) | |||||||
\(32\) | −5.13160 | + | 2.96273i | −0.907147 | + | 0.523742i | ||||
\(33\) | −4.26186 | + | 3.63735i | −0.741894 | + | 0.633181i | ||||
\(34\) | 2.15143 | + | 1.24213i | 0.368967 | + | 0.213023i | ||||
\(35\) | −0.342971 | + | 3.77924i | −0.0579728 | + | 0.638808i | ||||
\(36\) | 1.50000 | − | 9.42724i | 0.250000 | − | 1.57121i | ||||
\(37\) | −0.239123 | −0.0393116 | −0.0196558 | − | 0.999807i | \(-0.506257\pi\) | ||||
−0.0196558 | + | 0.999807i | \(0.506257\pi\) | |||||||
\(38\) | −5.10948 | + | 8.84988i | −0.828867 | + | 1.43564i | ||||
\(39\) | −1.61273 | − | 8.71878i | −0.258243 | − | 1.39612i | ||||
\(40\) | 3.34203 | − | 1.92952i | 0.528421 | − | 0.305084i | ||||
\(41\) | −3.71620 | − | 6.43664i | −0.580373 | − | 1.00523i | −0.995435 | − | 0.0954418i | \(-0.969574\pi\) |
0.415062 | − | 0.909793i | \(-0.363760\pi\) | |||||||
\(42\) | 10.3872 | − | 0.962525i | 1.60278 | − | 0.148521i | ||||
\(43\) | −3.82326 | + | 6.62208i | −0.583041 | + | 1.00986i | 0.412075 | + | 0.911150i | \(0.364804\pi\) |
−0.995116 | + | 0.0987075i | \(0.968529\pi\) | |||||||
\(44\) | 10.2933i | 1.55177i | ||||||||
\(45\) | 0.676137 | − | 4.24941i | 0.100793 | − | 0.633464i | ||||
\(46\) | −9.12476 | −1.34537 | ||||||||
\(47\) | 2.11042 | − | 3.65536i | 0.307837 | − | 0.533189i | −0.670052 | − | 0.742314i | \(-0.733728\pi\) |
0.977889 | + | 0.209125i | \(0.0670615\pi\) | |||||||
\(48\) | 0.268872 | + | 0.315036i | 0.0388084 | + | 0.0454715i | ||||
\(49\) | 2.35150 | + | 6.59321i | 0.335929 | + | 0.941887i | ||||
\(50\) | −5.80150 | + | 3.34950i | −0.820457 | + | 0.473691i | ||||
\(51\) | 0.631600 | − | 1.78157i | 0.0884417 | − | 0.249470i | ||||
\(52\) | −14.1066 | − | 8.14447i | −1.95624 | − | 1.12944i | ||||
\(53\) | − | 7.01414i | − | 0.963466i | −0.876318 | − | 0.481733i | \(-0.840008\pi\) | ||
0.876318 | − | 0.481733i | \(-0.159992\pi\) | |||||||
\(54\) | −11.8247 | + | 0.297022i | −1.60914 | + | 0.0404196i | ||||
\(55\) | 4.63977i | 0.625627i | ||||||||
\(56\) | 4.10189 | − | 5.81793i | 0.548138 | − | 0.777454i | ||||
\(57\) | 7.32846 | + | 2.59808i | 0.970678 | + | 0.344124i | ||||
\(58\) | −1.35185 | − | 2.34147i | −0.177506 | − | 0.307450i | ||||
\(59\) | 4.73531 | + | 8.20179i | 0.616484 | + | 1.06778i | 0.990122 | + | 0.140208i | \(0.0447770\pi\) |
−0.373638 | + | 0.927575i | \(0.621890\pi\) | |||||||
\(60\) | −5.13160 | − | 6.01266i | −0.662487 | − | 0.776231i | ||||
\(61\) | 2.82757 | + | 1.63250i | 0.362033 | + | 0.209020i | 0.669972 | − | 0.742386i | \(-0.266306\pi\) |
−0.307939 | + | 0.951406i | \(0.599639\pi\) | |||||||
\(62\) | −8.52371 | −1.08251 | ||||||||
\(63\) | −2.15766 | − | 7.63836i | −0.271840 | − | 0.962342i | ||||
\(64\) | 13.0104 | 1.62630 | ||||||||
\(65\) | −6.35868 | − | 3.67119i | −0.788698 | − | 0.455355i | ||||
\(66\) | 12.5419 | − | 2.31989i | 1.54380 | − | 0.285558i | ||||
\(67\) | −0.330095 | − | 0.571741i | −0.0403275 | − | 0.0698493i | 0.845157 | − | 0.534518i | \(-0.179507\pi\) |
−0.885485 | + | 0.464669i | \(0.846173\pi\) | |||||||
\(68\) | −1.73625 | − | 3.00728i | −0.210552 | − | 0.364686i | ||||
\(69\) | 1.26280 | + | 6.82701i | 0.152023 | + | 0.821876i | ||||
\(70\) | 4.97764 | − | 7.06006i | 0.594942 | − | 0.843838i | ||||
\(71\) | − | 3.82347i | − | 0.453762i | −0.973922 | − | 0.226881i | \(-0.927147\pi\) | ||
0.973922 | − | 0.226881i | \(-0.0728529\pi\) | |||||||
\(72\) | −5.08414 | + | 6.26926i | −0.599171 | + | 0.738840i | ||||
\(73\) | − | 7.31073i | − | 0.855656i | −0.903860 | − | 0.427828i | \(-0.859279\pi\) | ||
0.903860 | − | 0.427828i | \(-0.140721\pi\) | |||||||
\(74\) | 0.471410 | + | 0.272169i | 0.0548003 | + | 0.0316390i | ||||
\(75\) | 3.30893 | + | 3.87705i | 0.382083 | + | 0.447683i | ||||
\(76\) | 12.3704 | − | 7.14205i | 1.41898 | − | 0.819249i | ||||
\(77\) | 3.59195 | + | 7.76852i | 0.409341 | + | 0.885305i | ||||
\(78\) | −6.74433 | + | 19.0239i | −0.763644 | + | 2.15403i | ||||
\(79\) | −1.83009 | + | 3.16982i | −0.205902 | + | 0.356632i | −0.950420 | − | 0.310970i | \(-0.899346\pi\) |
0.744518 | + | 0.667602i | \(0.232679\pi\) | |||||||
\(80\) | 0.342971 | 0.0383454 | ||||||||
\(81\) | 1.85868 | + | 8.80598i | 0.206521 | + | 0.978442i | ||||
\(82\) | 16.9190i | 1.86839i | ||||||||
\(83\) | 5.45245 | − | 9.44392i | 0.598484 | − | 1.03660i | −0.394561 | − | 0.918870i | \(-0.629103\pi\) |
0.993045 | − | 0.117735i | \(-0.0375634\pi\) | |||||||
\(84\) | −13.2468 | − | 6.09448i | −1.44534 | − | 0.664962i | ||||
\(85\) | −0.782630 | − | 1.35556i | −0.0848882 | − | 0.147031i | ||||
\(86\) | 15.0744 | − | 8.70322i | 1.62552 | − | 0.938492i | ||||
\(87\) | −1.56477 | + | 1.33548i | −0.167761 | + | 0.143178i | ||||
\(88\) | 4.35185 | − | 7.53762i | 0.463909 | − | 0.803513i | ||||
\(89\) | −13.6915 | −1.45129 | −0.725646 | − | 0.688068i | \(-0.758459\pi\) | ||||
−0.725646 | + | 0.688068i | \(0.758459\pi\) | |||||||
\(90\) | −6.16959 | + | 7.60775i | −0.650332 | + | 0.801927i | ||||
\(91\) | −13.4887 | − | 1.22412i | −1.41399 | − | 0.128322i | ||||
\(92\) | 11.0458 | + | 6.37731i | 1.15161 | + | 0.664881i | ||||
\(93\) | 1.17962 | + | 6.37731i | 0.122321 | + | 0.661297i | ||||
\(94\) | −8.32102 | + | 4.80415i | −0.858248 | + | 0.495510i | ||||
\(95\) | 5.57605 | − | 3.21934i | 0.572091 | − | 0.330297i | ||||
\(96\) | −1.86673 | − | 10.0920i | −0.190523 | − | 1.03001i | ||||
\(97\) | −2.69709 | − | 1.55716i | −0.273848 | − | 0.158106i | 0.356787 | − | 0.934186i | \(-0.383872\pi\) |
−0.630635 | + | 0.776080i | \(0.717205\pi\) | |||||||
\(98\) | 2.86857 | − | 15.6744i | 0.289770 | − | 1.58335i | ||||
\(99\) | −3.47141 | − | 9.06259i | −0.348890 | − | 0.910824i | ||||
\(100\) | 9.36389 | 0.936389 | ||||||||
\(101\) | −3.54471 | + | 6.13962i | −0.352712 | + | 0.610915i | −0.986724 | − | 0.162408i | \(-0.948074\pi\) |
0.634012 | + | 0.773324i | \(0.281407\pi\) | |||||||
\(102\) | −3.27292 | + | 2.79332i | −0.324067 | + | 0.276580i | ||||
\(103\) | −1.47529 | + | 0.851761i | −0.145365 | + | 0.0839265i | −0.570918 | − | 0.821007i | \(-0.693413\pi\) |
0.425553 | + | 0.904933i | \(0.360079\pi\) | |||||||
\(104\) | 6.88674 | + | 11.9282i | 0.675300 | + | 1.16965i | ||||
\(105\) | −5.97110 | − | 2.74714i | −0.582720 | − | 0.268093i | ||||
\(106\) | −7.98345 | + | 13.8277i | −0.775421 | + | 1.34307i | ||||
\(107\) | 4.93582i | 0.477164i | 0.971122 | + | 0.238582i | \(0.0766826\pi\) | ||||
−0.971122 | + | 0.238582i | \(0.923317\pi\) | |||||||
\(108\) | 14.5218 | + | 7.90477i | 1.39736 | + | 0.760637i | ||||
\(109\) | 8.13844 | 0.779521 | 0.389760 | − | 0.920916i | \(-0.372558\pi\) | ||||
0.389760 | + | 0.920916i | \(0.372558\pi\) | |||||||
\(110\) | 5.28096 | − | 9.14690i | 0.503520 | − | 0.872123i | ||||
\(111\) | 0.138393 | − | 0.390368i | 0.0131357 | − | 0.0370521i | ||||
\(112\) | 0.574248 | − | 0.265516i | 0.0542613 | − | 0.0250889i | ||||
\(113\) | −3.39699 | + | 1.96125i | −0.319562 | + | 0.184499i | −0.651197 | − | 0.758908i | \(-0.725733\pi\) |
0.331635 | + | 0.943408i | \(0.392400\pi\) | |||||||
\(114\) | −11.4903 | − | 13.4631i | −1.07616 | − | 1.26093i | ||||
\(115\) | 4.97900 | + | 2.87463i | 0.464294 | + | 0.268060i | ||||
\(116\) | 3.77924i | 0.350893i | ||||||||
\(117\) | 15.1668 | + | 2.41323i | 1.40217 | + | 0.223104i | ||||
\(118\) | − | 21.5588i | − | 1.98465i | ||||||
\(119\) | −2.35981 | − | 1.66376i | −0.216323 | − | 0.152517i | ||||
\(120\) | 1.21574 | + | 6.57256i | 0.110981 | + | 0.599990i | ||||
\(121\) | −0.267713 | − | 0.463693i | −0.0243376 | − | 0.0421539i | ||||
\(122\) | −3.71620 | − | 6.43664i | −0.336449 | − | 0.582746i | ||||
\(123\) | 12.6586 | − | 2.34147i | 1.14138 | − | 0.211123i | ||||
\(124\) | 10.3182 | + | 5.95724i | 0.926605 | + | 0.534976i | ||||
\(125\) | 11.3923 | 1.01896 | ||||||||
\(126\) | −4.44029 | + | 17.5142i | −0.395573 | + | 1.56029i | ||||
\(127\) | 6.16827 | 0.547345 | 0.273673 | − | 0.961823i | \(-0.411761\pi\) | ||||
0.273673 | + | 0.961823i | \(0.411761\pi\) | |||||||
\(128\) | −15.3856 | − | 8.88290i | −1.35991 | − | 0.785145i | ||||
\(129\) | −8.59781 | − | 10.0740i | −0.756995 | − | 0.886966i | ||||
\(130\) | 8.35705 | + | 14.4748i | 0.732962 | + | 1.26953i | ||||
\(131\) | −4.13138 | − | 7.15575i | −0.360960 | − | 0.625201i | 0.627159 | − | 0.778891i | \(-0.284218\pi\) |
−0.988119 | + | 0.153690i | \(0.950884\pi\) | |||||||
\(132\) | −16.8037 | − | 5.95724i | −1.46258 | − | 0.518511i | ||||
\(133\) | 6.84387 | − | 9.70702i | 0.593438 | − | 0.841706i | ||||
\(134\) | 1.50285i | 0.129826i | ||||||||
\(135\) | 6.54583 | + | 3.56314i | 0.563375 | + | 0.306666i | ||||
\(136\) | 2.93625i | 0.251782i | ||||||||
\(137\) | −8.96169 | − | 5.17404i | −0.765649 | − | 0.442048i | 0.0656711 | − | 0.997841i | \(-0.479081\pi\) |
−0.831320 | + | 0.555794i | \(0.812415\pi\) | |||||||
\(138\) | 5.28096 | − | 14.8962i | 0.449546 | − | 1.26804i | ||||
\(139\) | −15.4589 | + | 8.92521i | −1.31121 | + | 0.757026i | −0.982296 | − | 0.187334i | \(-0.940015\pi\) |
−0.328912 | + | 0.944361i | \(0.606682\pi\) | |||||||
\(140\) | −10.9599 | + | 5.06755i | −0.926280 | + | 0.428286i | ||||
\(141\) | 4.74596 | + | 5.56081i | 0.399682 | + | 0.468304i | ||||
\(142\) | −4.35185 | + | 7.53762i | −0.365199 | + | 0.632543i | ||||
\(143\) | −16.5600 | −1.38482 | ||||||||
\(144\) | −0.669905 | + | 0.256606i | −0.0558254 | + | 0.0213838i | ||||
\(145\) | 1.70352i | 0.141470i | ||||||||
\(146\) | −8.32102 | + | 14.4124i | −0.688653 | + | 1.19278i | ||||
\(147\) | −12.1243 | + | 0.0229982i | −0.999998 | + | 0.00189686i | ||||
\(148\) | −0.380438 | − | 0.658939i | −0.0312718 | − | 0.0541644i | ||||
\(149\) | −15.1758 | + | 8.76175i | −1.24325 | + | 0.717790i | −0.969754 | − | 0.244083i | \(-0.921513\pi\) |
−0.273495 | + | 0.961873i | \(0.588180\pi\) | |||||||
\(150\) | −2.11042 | − | 11.4095i | −0.172315 | − | 0.931579i | ||||
\(151\) | −0.550343 | + | 0.953223i | −0.0447863 | + | 0.0775722i | −0.887550 | − | 0.460712i | \(-0.847594\pi\) |
0.842763 | + | 0.538284i | \(0.180927\pi\) | |||||||
\(152\) | −12.0782 | −0.979674 | ||||||||
\(153\) | 2.54287 | + | 2.06217i | 0.205579 | + | 0.166717i | ||||
\(154\) | 1.76088 | − | 19.4033i | 0.141895 | − | 1.56356i | ||||
\(155\) | 4.65103 | + | 2.68527i | 0.373580 | + | 0.215686i | ||||
\(156\) | 21.4601 | − | 18.3154i | 1.71818 | − | 1.46641i | ||||
\(157\) | 8.45150 | − | 4.87948i | 0.674503 | − | 0.389425i | −0.123277 | − | 0.992372i | \(-0.539340\pi\) |
0.797781 | + | 0.602947i | \(0.206007\pi\) | |||||||
\(158\) | 7.21574 | − | 4.16601i | 0.574053 | − | 0.331430i | ||||
\(159\) | 11.4506 | + | 4.05944i | 0.908088 | + | 0.321934i | ||||
\(160\) | −7.36019 | − | 4.24941i | −0.581874 | − | 0.335945i | ||||
\(161\) | 10.5619 | + | 0.958511i | 0.832397 | + | 0.0755413i | ||||
\(162\) | 6.35868 | − | 19.4757i | 0.499585 | − | 1.53016i | ||||
\(163\) | −7.22545 | −0.565941 | −0.282970 | − | 0.959129i | \(-0.591320\pi\) | ||||
−0.282970 | + | 0.959129i | \(0.591320\pi\) | |||||||
\(164\) | 11.8247 | − | 20.4810i | 0.923356 | − | 1.59930i | ||||
\(165\) | −7.57442 | − | 2.68527i | −0.589668 | − | 0.209048i | ||||
\(166\) | −21.4980 | + | 12.4119i | −1.66857 | + | 0.963350i | ||||
\(167\) | 8.65419 | + | 14.9895i | 0.669681 | + | 1.15992i | 0.977993 | + | 0.208637i | \(0.0669027\pi\) |
−0.308312 | + | 0.951285i | \(0.599764\pi\) | |||||||
\(168\) | 7.12379 | + | 10.0635i | 0.549612 | + | 0.776413i | ||||
\(169\) | 6.60301 | − | 11.4367i | 0.507924 | − | 0.879750i | ||||
\(170\) | 3.56314i | 0.273280i | ||||||||
\(171\) | −8.48270 | + | 10.4601i | −0.648689 | + | 0.799900i | ||||
\(172\) | −24.3308 | −1.85520 | ||||||||
\(173\) | −0.978103 | + | 1.69412i | −0.0743638 | + | 0.128802i | −0.900809 | − | 0.434215i | \(-0.857026\pi\) |
0.826446 | + | 0.563017i | \(0.190359\pi\) | |||||||
\(174\) | 4.60483 | − | 0.851761i | 0.349091 | − | 0.0645718i | ||||
\(175\) | 7.06710 | − | 3.26763i | 0.534223 | − | 0.247010i | ||||
\(176\) | 0.669905 | − | 0.386770i | 0.0504960 | − | 0.0291539i | ||||
\(177\) | −16.1300 | + | 2.98358i | −1.21240 | + | 0.224260i | ||||
\(178\) | 26.9915 | + | 15.5835i | 2.02310 | + | 1.16804i | ||||
\(179\) | 23.2017i | 1.73418i | 0.498152 | + | 0.867090i | \(0.334012\pi\) | ||||
−0.498152 | + | 0.867090i | \(0.665988\pi\) | |||||||
\(180\) | 12.7856 | − | 4.89749i | 0.952980 | − | 0.365037i | ||||
\(181\) | 10.2744i | 0.763689i | 0.924226 | + | 0.381845i | \(0.124711\pi\) | ||||
−0.924226 | + | 0.381845i | \(0.875289\pi\) | |||||||
\(182\) | 25.1984 | + | 17.7659i | 1.86783 | + | 1.31690i | ||||
\(183\) | −4.30150 | + | 3.67119i | −0.317976 | + | 0.271382i | ||||
\(184\) | −5.39248 | − | 9.34004i | −0.397539 | − | 0.688557i | ||||
\(185\) | −0.171486 | − | 0.297022i | −0.0126079 | − | 0.0218375i | ||||
\(186\) | 4.93310 | − | 13.9149i | 0.361713 | − | 1.02029i | ||||
\(187\) | −3.05733 | − | 1.76515i | −0.223574 | − | 0.129080i | ||||
\(188\) | 13.4305 | 0.979520 | ||||||||
\(189\) | 13.7183 | + | 0.898326i | 0.997863 | + | 0.0653436i | ||||
\(190\) | −14.6569 | −1.06332 | ||||||||
\(191\) | 19.6758 | + | 11.3598i | 1.42369 | + | 0.821968i | 0.996612 | − | 0.0822464i | \(-0.0262094\pi\) |
0.427079 | + | 0.904215i | \(0.359543\pi\) | |||||||
\(192\) | −7.52978 | + | 21.2394i | −0.543415 | + | 1.53283i | ||||
\(193\) | −8.43598 | − | 14.6116i | −0.607235 | − | 1.05176i | −0.991694 | − | 0.128620i | \(-0.958945\pi\) |
0.384459 | − | 0.923142i | \(-0.374388\pi\) | |||||||
\(194\) | 3.54471 | + | 6.13962i | 0.254495 | + | 0.440799i | ||||
\(195\) | 9.67330 | − | 8.25583i | 0.692719 | − | 0.591212i | ||||
\(196\) | −14.4274 | + | 16.9695i | −1.03053 | + | 1.21211i | ||||
\(197\) | − | 8.94426i | − | 0.637252i | −0.947880 | − | 0.318626i | \(-0.896779\pi\) | ||
0.947880 | − | 0.318626i | \(-0.103221\pi\) | |||||||
\(198\) | −3.47141 | + | 21.8172i | −0.246702 | + | 1.55048i | ||||
\(199\) | 5.78528i | 0.410108i | 0.978751 | + | 0.205054i | \(0.0657369\pi\) | ||||
−0.978751 | + | 0.205054i | \(0.934263\pi\) | |||||||
\(200\) | −6.85705 | − | 3.95892i | −0.484867 | − | 0.279938i | ||||
\(201\) | 1.12441 | − | 0.207983i | 0.0793097 | − | 0.0146700i | ||||
\(202\) | 13.9762 | − | 8.06914i | 0.983359 | − | 0.567743i | ||||
\(203\) | 1.31881 | + | 2.85226i | 0.0925621 | + | 0.200189i | ||||
\(204\) | 5.91423 | − | 1.09396i | 0.414079 | − | 0.0765927i | ||||
\(205\) | 5.33009 | − | 9.23200i | 0.372270 | − | 0.644791i | ||||
\(206\) | 3.87788 | 0.270185 | ||||||||
\(207\) | −11.8759 | − | 1.88962i | −0.825434 | − | 0.131338i | ||||
\(208\) | 1.22412i | 0.0848771i | ||||||||
\(209\) | 7.26091 | − | 12.5763i | 0.502248 | − | 0.869918i | ||||
\(210\) | 8.64471 | + | 12.2120i | 0.596542 | + | 0.842708i | ||||
\(211\) | −12.9451 | − | 22.4216i | −0.891180 | − | 1.54357i | −0.838462 | − | 0.544960i | \(-0.816545\pi\) |
−0.0527186 | − | 0.998609i | \(-0.516789\pi\) | |||||||
\(212\) | 19.3285 | − | 11.1593i | 1.32748 | − | 0.766423i | ||||
\(213\) | 6.24180 | + | 2.21284i | 0.427681 | + | 0.151621i | ||||
\(214\) | 5.61793 | − | 9.73053i | 0.384034 | − | 0.665166i | ||||
\(215\) | −10.9673 | −0.747964 | ||||||||
\(216\) | −7.29211 | − | 11.9282i | −0.496165 | − | 0.811610i | ||||
\(217\) | 9.86621 | + | 0.895374i | 0.669762 | + | 0.0607819i | ||||
\(218\) | −16.0442 | − | 9.26312i | −1.08665 | − | 0.627378i | ||||
\(219\) | 11.9347 | + | 4.23109i | 0.806475 | + | 0.285910i | ||||
\(220\) | −12.7856 | + | 7.38175i | −0.862003 | + | 0.497678i | ||||
\(221\) | 4.83818 | − | 2.79332i | 0.325451 | − | 0.187899i | ||||
\(222\) | −0.717144 | + | 0.612058i | −0.0481315 | + | 0.0410786i | ||||
\(223\) | −15.4827 | − | 8.93892i | −1.03680 | − | 0.598594i | −0.117871 | − | 0.993029i | \(-0.537607\pi\) |
−0.918924 | + | 0.394435i | \(0.870940\pi\) | |||||||
\(224\) | −15.6131 | − | 1.41692i | −1.04320 | − | 0.0946717i | ||||
\(225\) | −8.24433 | + | 3.15798i | −0.549622 | + | 0.210532i | ||||
\(226\) | 8.92915 | 0.593958 | ||||||||
\(227\) | 5.48365 | − | 9.49796i | 0.363963 | − | 0.630402i | −0.624646 | − | 0.780908i | \(-0.714757\pi\) |
0.988609 | + | 0.150506i | \(0.0480902\pi\) | |||||||
\(228\) | 4.50000 | + | 24.3281i | 0.298020 | + | 1.61117i | ||||
\(229\) | 16.8349 | − | 9.71965i | 1.11248 | − | 0.642293i | 0.173012 | − | 0.984920i | \(-0.444650\pi\) |
0.939471 | + | 0.342627i | \(0.111317\pi\) | |||||||
\(230\) | −6.54377 | − | 11.3341i | −0.431483 | − | 0.747351i | ||||
\(231\) | −14.7609 | + | 1.36781i | −0.971198 | + | 0.0899954i | ||||
\(232\) | 1.59781 | − | 2.76748i | 0.104901 | − | 0.181694i | ||||
\(233\) | 2.94031i | 0.192626i | 0.995351 | + | 0.0963131i | \(0.0307050\pi\) | ||||
−0.995351 | + | 0.0963131i | \(0.969295\pi\) | |||||||
\(234\) | −27.1532 | − | 22.0202i | −1.77506 | − | 1.43950i | ||||
\(235\) | 6.05391 | 0.394914 | ||||||||
\(236\) | −15.0675 | + | 26.0976i | −0.980809 | + | 1.69881i | ||||
\(237\) | −4.11555 | − | 4.82216i | −0.267334 | − | 0.313233i | ||||
\(238\) | 2.75846 | + | 5.96588i | 0.178804 | + | 0.386710i | ||||
\(239\) | −10.7255 | + | 6.19234i | −0.693772 | + | 0.400549i | −0.805023 | − | 0.593243i | \(-0.797847\pi\) |
0.111252 | + | 0.993792i | \(0.464514\pi\) | |||||||
\(240\) | −0.198495 | + | 0.559900i | −0.0128128 | + | 0.0361414i | ||||
\(241\) | −11.6943 | − | 6.75168i | −0.753293 | − | 0.434914i | 0.0735896 | − | 0.997289i | \(-0.476555\pi\) |
−0.826882 | + | 0.562375i | \(0.809888\pi\) | |||||||
\(242\) | 1.21884i | 0.0783499i | ||||||||
\(243\) | −15.4515 | − | 2.06217i | −0.991211 | − | 0.132288i | ||||
\(244\) | 10.3890i | 0.665089i | ||||||||
\(245\) | −6.50325 | + | 7.64915i | −0.415478 | + | 0.488686i | ||||
\(246\) | −27.6202 | − | 9.79190i | −1.76100 | − | 0.624308i | ||||
\(247\) | 11.4903 | + | 19.9018i | 0.731109 | + | 1.26632i | ||||
\(248\) | −5.03727 | − | 8.72481i | −0.319867 | − | 0.554026i | ||||
\(249\) | 12.2616 | + | 14.3668i | 0.777045 | + | 0.910458i | ||||
\(250\) | −22.4589 | − | 12.9666i | −1.42042 | − | 0.820082i | ||||
\(251\) | −7.51441 | −0.474305 | −0.237153 | − | 0.971472i | \(-0.576214\pi\) | ||||
−0.237153 | + | 0.971472i | \(0.576214\pi\) | |||||||
\(252\) | 17.6158 | − | 18.0982i | 1.10969 | − | 1.14008i | ||||
\(253\) | 12.9669 | 0.815222 | ||||||||
\(254\) | −12.1602 | − | 7.02069i | −0.762998 | − | 0.440517i | ||||
\(255\) | 2.66589 | − | 0.493113i | 0.166944 | − | 0.0308799i | ||||
\(256\) | 7.21053 | + | 12.4890i | 0.450658 | + | 0.780563i | ||||
\(257\) | −3.87788 | − | 6.71668i | −0.241895 | − | 0.418975i | 0.719359 | − | 0.694639i | \(-0.244436\pi\) |
−0.961254 | + | 0.275664i | \(0.911102\pi\) | |||||||
\(258\) | 5.48365 | + | 29.6459i | 0.341397 | + | 1.84568i | ||||
\(259\) | −0.517068 | − | 0.364555i | −0.0321290 | − | 0.0226523i | ||||
\(260\) | − | 23.3630i | − | 1.44891i | ||||||
\(261\) | −1.27455 | − | 3.32738i | −0.0788927 | − | 0.205960i | ||||
\(262\) | 18.8092i | 1.16204i | ||||||||
\(263\) | −12.1127 | − | 6.99329i | −0.746903 | − | 0.431224i | 0.0776710 | − | 0.996979i | \(-0.475252\pi\) |
−0.824574 | + | 0.565755i | \(0.808585\pi\) | |||||||
\(264\) | 9.78651 | + | 11.4668i | 0.602318 | + | 0.705732i | ||||
\(265\) | 8.71246 | − | 5.03014i | 0.535202 | − | 0.308999i | ||||
\(266\) | −24.5405 | + | 11.3469i | −1.50468 | + | 0.695721i | ||||
\(267\) | 7.92395 | − | 22.3513i | 0.484938 | − | 1.36788i | ||||
\(268\) | 1.05034 | − | 1.81925i | 0.0641599 | − | 0.111128i | ||||
\(269\) | 25.8321 | 1.57501 | 0.787505 | − | 0.616308i | \(-0.211372\pi\) | ||||
0.787505 | + | 0.616308i | \(0.211372\pi\) | |||||||
\(270\) | −8.84897 | − | 14.4748i | −0.538531 | − | 0.880910i | ||||
\(271\) | − | 16.6537i | − | 1.01164i | −0.862639 | − | 0.505821i | \(-0.831190\pi\) | ||
0.862639 | − | 0.505821i | \(-0.168810\pi\) | |||||||
\(272\) | −0.130480 | + | 0.225997i | −0.00791148 | + | 0.0137031i | ||||
\(273\) | 9.80493 | − | 21.3117i | 0.593422 | − | 1.28984i | ||||
\(274\) | 11.7781 | + | 20.4003i | 0.711542 | + | 1.23243i | ||||
\(275\) | 8.24433 | − | 4.75986i | 0.497152 | − | 0.287031i | ||||
\(276\) | −16.8037 | + | 14.3414i | −1.01147 | + | 0.863252i | ||||
\(277\) | −15.7044 | + | 27.2008i | −0.943585 | + | 1.63434i | −0.185025 | + | 0.982734i | \(0.559237\pi\) |
−0.758560 | + | 0.651603i | \(0.774097\pi\) | |||||||
\(278\) | 40.6345 | 2.43709 | ||||||||
\(279\) | −11.0937 | − | 1.76515i | −0.664160 | − | 0.105677i | ||||
\(280\) | 10.1683 | + | 0.922786i | 0.607670 | + | 0.0551470i | ||||
\(281\) | 8.10464 | + | 4.67922i | 0.483483 | + | 0.279139i | 0.721867 | − | 0.692032i | \(-0.243284\pi\) |
−0.238384 | + | 0.971171i | \(0.576618\pi\) | |||||||
\(282\) | −3.02696 | − | 16.3645i | −0.180253 | − | 0.974489i | ||||
\(283\) | 13.6603 | − | 7.88676i | 0.812018 | − | 0.468819i | −0.0356380 | − | 0.999365i | \(-0.511346\pi\) |
0.847656 | + | 0.530546i | \(0.178013\pi\) | |||||||
\(284\) | 10.5361 | − | 6.08303i | 0.625203 | − | 0.360961i | ||||
\(285\) | 2.02841 | + | 10.9661i | 0.120153 | + | 0.649575i | ||||
\(286\) | 32.6466 | + | 18.8485i | 1.93044 | + | 1.11454i | ||||
\(287\) | 1.77726 | − | 19.5838i | 0.104908 | − | 1.15599i | ||||
\(288\) | 17.5555 | + | 2.79332i | 1.03447 | + | 0.164598i | ||||
\(289\) | −15.8090 | −0.929943 | ||||||||
\(290\) | 1.93894 | − | 3.35834i | 0.113858 | − | 0.197209i | ||||
\(291\) | 4.10301 | − | 3.50178i | 0.240523 | − | 0.205278i | ||||
\(292\) | 20.1458 | − | 11.6312i | 1.17894 | − | 0.680662i | ||||
\(293\) | −12.4287 | − | 21.5271i | −0.726090 | − | 1.25762i | −0.958524 | − | 0.285013i | \(-0.908002\pi\) |
0.232434 | − | 0.972612i | \(-0.425331\pi\) | |||||||
\(294\) | 23.9282 | + | 13.7545i | 1.39552 | + | 0.802179i | ||||
\(295\) | −6.79179 | + | 11.7637i | −0.395433 | + | 0.684911i | ||||
\(296\) | 0.643376i | 0.0373955i | ||||||||
\(297\) | 16.8037 | − | 0.422088i | 0.975051 | − | 0.0244920i | ||||
\(298\) | 39.8903 | 2.31078 | ||||||||
\(299\) | −10.2600 | + | 17.7708i | −0.593349 | + | 1.02771i | ||||
\(300\) | −5.41936 | + | 15.2865i | −0.312887 | + | 0.882568i | ||||
\(301\) | −18.3629 | + | 8.49050i | −1.05842 | + | 0.489384i | ||||
\(302\) | 2.16991 | − | 1.25280i | 0.124864 | − | 0.0720903i | ||||
\(303\) | −7.97141 | − | 9.34004i | −0.457946 | − | 0.536571i | ||||
\(304\) | −0.929636 | − | 0.536725i | −0.0533183 | − | 0.0307833i | ||||
\(305\) | 4.68294i | 0.268144i | ||||||||
\(306\) | −2.66589 | − | 6.95966i | −0.152399 | − | 0.397857i | ||||
\(307\) | 18.8878i | 1.07799i | 0.842310 | + | 0.538993i | \(0.181195\pi\) | ||||
−0.842310 | + | 0.538993i | \(0.818805\pi\) | |||||||
\(308\) | −15.6926 | + | 22.2576i | −0.894168 | + | 1.26825i | ||||
\(309\) | −0.536670 | − | 2.90137i | −0.0305301 | − | 0.165053i | ||||
\(310\) | −6.11273 | − | 10.5876i | −0.347179 | − | 0.601332i | ||||
\(311\) | −3.97716 | − | 6.88864i | −0.225524 | − | 0.390619i | 0.730953 | − | 0.682428i | \(-0.239076\pi\) |
−0.956476 | + | 0.291809i | \(0.905743\pi\) | |||||||
\(312\) | −23.4584 | + | 4.33914i | −1.32807 | + | 0.245655i | ||||
\(313\) | −9.64210 | − | 5.56687i | −0.545004 | − | 0.314658i | 0.202101 | − | 0.979365i | \(-0.435223\pi\) |
−0.747104 | + | 0.664707i | \(0.768556\pi\) | |||||||
\(314\) | −22.2152 | −1.25367 | ||||||||
\(315\) | 7.94047 | − | 8.15790i | 0.447395 | − | 0.459645i | ||||
\(316\) | −11.6465 | −0.655168 | ||||||||
\(317\) | −20.1380 | − | 11.6267i | −1.13107 | − | 0.653021i | −0.186863 | − | 0.982386i | \(-0.559832\pi\) |
−0.944203 | + | 0.329365i | \(0.893165\pi\) | |||||||
\(318\) | −17.9533 | − | 21.0358i | −1.00677 | − | 1.17963i | ||||
\(319\) | 1.92107 | + | 3.32738i | 0.107559 | + | 0.186298i | ||||
\(320\) | 9.33033 | + | 16.1606i | 0.521581 | + | 0.903405i | ||||
\(321\) | −8.05772 | − | 2.85661i | −0.449738 | − | 0.159441i | ||||
\(322\) | −19.7309 | − | 13.9111i | −1.09956 | − | 0.775238i | ||||
\(323\) | 4.89904i | 0.272590i | ||||||||
\(324\) | −21.3090 | + | 19.1319i | −1.18383 | + | 1.06289i | ||||
\(325\) | 15.0648i | 0.835646i | ||||||||
\(326\) | 14.2443 | + | 8.22396i | 0.788920 | + | 0.455483i | ||||
\(327\) | −4.71013 | + | 13.2860i | −0.260471 | + | 0.734716i | ||||
\(328\) | −17.3182 | + | 9.99866i | −0.956237 | + | 0.552084i | ||||
\(329\) | 10.1363 | − | 4.68672i | 0.558830 | − | 0.258387i | ||||
\(330\) | 11.8759 | + | 13.9149i | 0.653748 | + | 0.765992i | ||||
\(331\) | 9.57962 | − | 16.5924i | 0.526544 | − | 0.912000i | −0.472978 | − | 0.881074i | \(-0.656821\pi\) |
0.999522 | − | 0.0309261i | \(-0.00984566\pi\) | |||||||
\(332\) | 34.6988 | 1.90434 | ||||||||
\(333\) | 0.557180 | + | 0.451852i | 0.0305333 | + | 0.0247613i | ||||
\(334\) | − | 39.4006i | − | 2.15590i | ||||||
\(335\) | 0.473451 | − | 0.820041i | 0.0258674 | − | 0.0448036i | ||||
\(336\) | 0.101108 | + | 1.09113i | 0.00551592 | + | 0.0595258i | ||||
\(337\) | 14.2781 | + | 24.7304i | 0.777779 | + | 1.34715i | 0.933219 | + | 0.359307i | \(0.116987\pi\) |
−0.155441 | + | 0.987845i | \(0.549680\pi\) | |||||||
\(338\) | −26.0345 | + | 15.0310i | −1.41609 | + | 0.817579i | ||||
\(339\) | −1.23573 | − | 6.68065i | −0.0671156 | − | 0.362843i | ||||
\(340\) | 2.49028 | − | 4.31330i | 0.135055 | − | 0.233922i | ||||
\(341\) | 12.1128 | 0.655943 | ||||||||
\(342\) | 28.6285 | − | 10.9661i | 1.54805 | − | 0.592978i | ||||
\(343\) | −4.96690 | + | 17.8418i | −0.268187 | + | 0.963367i | ||||
\(344\) | 17.8171 | + | 10.2867i | 0.960634 | + | 0.554622i | ||||
\(345\) | −7.57442 | + | 6.46451i | −0.407793 | + | 0.348038i | ||||
\(346\) | 3.85648 | − | 2.22654i | 0.207326 | − | 0.119700i | ||||
\(347\) | 2.56690 | − | 1.48200i | 0.137798 | − | 0.0795578i | −0.429516 | − | 0.903059i | \(-0.641316\pi\) |
0.567314 | + | 0.823501i | \(0.307983\pi\) | |||||||
\(348\) | −6.16959 | − | 2.18724i | −0.330725 | − | 0.117248i | ||||
\(349\) | 23.3885 | + | 13.5034i | 1.25196 | + | 0.722818i | 0.971498 | − | 0.237048i | \(-0.0761797\pi\) |
0.280460 | + | 0.959866i | \(0.409513\pi\) | |||||||
\(350\) | −17.6514 | − | 1.60189i | −0.943504 | − | 0.0856245i | ||||
\(351\) | −12.7174 | + | 23.3630i | −0.678803 | + | 1.24703i | ||||
\(352\) | −19.1683 | −1.02167 | ||||||||
\(353\) | −14.8238 | + | 25.6755i | −0.788990 | + | 1.36657i | 0.137596 | + | 0.990488i | \(0.456063\pi\) |
−0.926586 | + | 0.376083i | \(0.877271\pi\) | |||||||
\(354\) | 35.1947 | + | 12.4772i | 1.87058 | + | 0.663154i | ||||
\(355\) | 4.74924 | − | 2.74198i | 0.252064 | − | 0.145529i | ||||
\(356\) | −21.7827 | − | 37.7288i | −1.15448 | − | 1.99962i | ||||
\(357\) | 4.08183 | − | 2.88947i | 0.216033 | − | 0.152927i | ||||
\(358\) | 26.4081 | − | 45.7401i | 1.39571 | − | 2.41744i | ||||
\(359\) | − | 24.6261i | − | 1.29972i | −0.760056 | − | 0.649858i | \(-0.774828\pi\) | ||
0.760056 | − | 0.649858i | \(-0.225172\pi\) | |||||||
\(360\) | −11.4333 | − | 1.81919i | −0.602587 | − | 0.0958797i | ||||
\(361\) | −1.15211 | −0.0606373 | ||||||||
\(362\) | 11.6943 | − | 20.2550i | 0.614636 | − | 1.06458i | ||||
\(363\) | 0.911917 | − | 0.168678i | 0.0478632 | − | 0.00885332i | ||||
\(364\) | −18.0868 | − | 39.1174i | −0.948008 | − | 2.05031i | ||||
\(365\) | 9.08087 | − | 5.24284i | 0.475314 | − | 0.274423i | ||||
\(366\) | 12.6586 | − | 2.34147i | 0.661673 | − | 0.122391i | ||||
\(367\) | 4.85598 | + | 2.80360i | 0.253480 | + | 0.146347i | 0.621357 | − | 0.783528i | \(-0.286582\pi\) |
−0.367877 | + | 0.929875i | \(0.619915\pi\) | |||||||
\(368\) | − | 0.958511i | − | 0.0499658i | ||||||
\(369\) | −3.50371 | + | 22.0202i | −0.182396 | + | 1.14633i | ||||
\(370\) | 0.780736i | 0.0405885i | ||||||||
\(371\) | 10.6934 | − | 15.1670i | 0.555173 | − | 0.787432i | ||||
\(372\) | −15.6969 | + | 13.3967i | −0.813844 | + | 0.694588i | ||||
\(373\) | 1.86677 | + | 3.23333i | 0.0966574 | + | 0.167416i | 0.910299 | − | 0.413951i | \(-0.135852\pi\) |
−0.813642 | + | 0.581367i | \(0.802518\pi\) | |||||||
\(374\) | 4.01816 | + | 6.95966i | 0.207774 | + | 0.359876i | ||||
\(375\) | −6.59329 | + | 18.5979i | −0.340476 | + | 0.960390i | ||||
\(376\) | −9.83498 | − | 5.67823i | −0.507200 | − | 0.292832i | ||||
\(377\) | −6.08012 | −0.313142 | ||||||||
\(378\) | −26.0220 | − | 17.3851i | −1.33843 | − | 0.894194i | ||||
\(379\) | −30.4419 | −1.56369 | −0.781847 | − | 0.623470i | \(-0.785722\pi\) | ||||
−0.781847 | + | 0.623470i | \(0.785722\pi\) | |||||||
\(380\) | 17.7427 | + | 10.2437i | 0.910181 | + | 0.525493i | ||||
\(381\) | −3.56989 | + | 10.0697i | −0.182891 | + | 0.515886i | ||||
\(382\) | −25.8594 | − | 44.7897i | −1.32308 | − | 2.29164i | ||||
\(383\) | 8.49251 | + | 14.7095i | 0.433947 | + | 0.751618i | 0.997209 | − | 0.0746601i | \(-0.0237872\pi\) |
−0.563262 | + | 0.826278i | \(0.690454\pi\) | |||||||
\(384\) | 23.4058 | − | 19.9760i | 1.19442 | − | 1.01940i | ||||
\(385\) | −7.07356 | + | 10.0328i | −0.360502 | + | 0.511319i | ||||
\(386\) | 38.4071i | 1.95487i | ||||||||
\(387\) | 21.4218 | − | 8.20557i | 1.08893 | − | 0.417113i | ||||
\(388\) | − | 9.90962i | − | 0.503085i | ||||||
\(389\) | 9.43310 | + | 5.44621i | 0.478277 | + | 0.276134i | 0.719698 | − | 0.694287i | \(-0.244280\pi\) |
−0.241421 | + | 0.970420i | \(0.577613\pi\) | |||||||
\(390\) | −28.4668 | + | 5.26554i | −1.44147 | + | 0.266631i | ||||
\(391\) | −3.78840 | + | 2.18724i | −0.191588 | + | 0.110613i | ||||
\(392\) | 17.7394 | − | 6.32687i | 0.895977 | − | 0.319555i | ||||
\(393\) | 14.0728 | − | 2.60306i | 0.709878 | − | 0.131307i | ||||
\(394\) | −10.1803 | + | 17.6328i | −0.512877 | + | 0.888328i | ||||
\(395\) | −5.24976 | −0.264144 | ||||||||
\(396\) | 19.4503 | − | 23.9843i | 0.977417 | − | 1.20526i | ||||
\(397\) | − | 22.3035i | − | 1.11938i | −0.828702 | − | 0.559690i | \(-0.810920\pi\) | ||
0.828702 | − | 0.559690i | \(-0.189080\pi\) | |||||||
\(398\) | 6.58477 | − | 11.4052i | 0.330065 | − | 0.571689i | ||||
\(399\) | 11.8858 | + | 16.7905i | 0.595034 | + | 0.840578i | ||||
\(400\) | −0.351848 | − | 0.609419i | −0.0175924 | − | 0.0304710i | ||||
\(401\) | 20.8554 | − | 12.0409i | 1.04147 | − | 0.601293i | 0.121221 | − | 0.992626i | \(-0.461319\pi\) |
0.920249 | + | 0.391333i | \(0.127986\pi\) | |||||||
\(402\) | −2.45340 | − | 0.869775i | −0.122364 | − | 0.0433804i | ||||
\(403\) | −9.58414 | + | 16.6002i | −0.477420 | + | 0.826915i | ||||
\(404\) | −22.5581 | −1.12231 | ||||||||
\(405\) | −9.60522 | + | 8.62388i | −0.477287 | + | 0.428524i | ||||
\(406\) | 0.646517 | − | 7.12403i | 0.0320861 | − | 0.353560i | ||||
\(407\) | −0.669905 | − | 0.386770i | −0.0332060 | − | 0.0191715i | ||||
\(408\) | −4.79342 | − | 1.69936i | −0.237310 | − | 0.0841308i | ||||
\(409\) | −22.8191 | + | 13.1746i | −1.12833 | + | 0.651443i | −0.943515 | − | 0.331330i | \(-0.892503\pi\) |
−0.184817 | + | 0.982773i | \(0.559169\pi\) | |||||||
\(410\) | −21.0156 | + | 12.1334i | −1.03789 | + | 0.599224i | ||||
\(411\) | 13.6332 | − | 11.6355i | 0.672476 | − | 0.573935i | ||||
\(412\) | −4.69430 | − | 2.71026i | −0.231272 | − | 0.133525i | ||||
\(413\) | −2.26464 | + | 24.9543i | −0.111436 | + | 1.22792i | ||||
\(414\) | 21.2616 | + | 17.2423i | 1.04495 | + | 0.847414i | ||||
\(415\) | 15.6408 | 0.767775 | ||||||||
\(416\) | 15.1668 | − | 26.2696i | 0.743611 | − | 1.28797i | ||||
\(417\) | −5.62352 | − | 30.4021i | −0.275385 | − | 1.48880i | ||||
\(418\) | −28.6285 | + | 16.5286i | −1.40026 | + | 0.808443i | ||||
\(419\) | 16.1761 | + | 28.0178i | 0.790252 | + | 1.36876i | 0.925811 | + | 0.377988i | \(0.123384\pi\) |
−0.135558 | + | 0.990769i | \(0.543283\pi\) | |||||||
\(420\) | −1.92972 | − | 20.8248i | −0.0941607 | − | 1.01615i | ||||
\(421\) | −5.54746 | + | 9.60849i | −0.270367 | + | 0.468289i | −0.968956 | − | 0.247234i | \(-0.920478\pi\) |
0.698589 | + | 0.715523i | \(0.253812\pi\) | |||||||
\(422\) | 58.9363i | 2.86898i | ||||||||
\(423\) | −11.8247 | + | 4.52945i | −0.574938 | + | 0.220229i | ||||
\(424\) | −18.8720 | −0.916504 | ||||||||
\(425\) | −1.60577 | + | 2.78128i | −0.0778914 | + | 0.134912i | ||||
\(426\) | −9.78651 | − | 11.4668i | −0.474158 | − | 0.555568i | ||||
\(427\) | 3.62537 | + | 7.84079i | 0.175444 | + | 0.379443i | ||||
\(428\) | −13.6014 | + | 7.85276i | −0.657447 | + | 0.379577i | ||||
\(429\) | 9.58414 | − | 27.0342i | 0.462726 | − | 1.30522i | ||||
\(430\) | 21.6210 | + | 12.4829i | 1.04266 | + | 0.601980i | ||||
\(431\) | − | 16.3047i | − | 0.785368i | −0.919673 | − | 0.392684i | \(-0.871547\pi\) | ||
0.919673 | − | 0.392684i | \(-0.128453\pi\) | |||||||
\(432\) | −0.0312007 | − | 1.24213i | −0.00150114 | − | 0.0597620i | ||||
\(433\) | − | 12.5359i | − | 0.602438i | −0.953555 | − | 0.301219i | \(-0.902606\pi\) | ||
0.953555 | − | 0.301219i | \(-0.0973936\pi\) | |||||||
\(434\) | −18.4312 | − | 12.9948i | −0.884728 | − | 0.623771i | ||||
\(435\) | −2.78100 | − | 0.985915i | −0.133339 | − | 0.0472710i | ||||
\(436\) | 12.9480 | + | 22.4266i | 0.620098 | + | 1.07404i | ||||
\(437\) | −8.99716 | − | 15.5835i | −0.430393 | − | 0.745462i | ||||
\(438\) | −18.7125 | − | 21.9253i | −0.894116 | − | 1.04763i | ||||
\(439\) | 16.1276 | + | 9.31127i | 0.769728 | + | 0.444403i | 0.832778 | − | 0.553608i | \(-0.186749\pi\) |
−0.0630496 | + | 0.998010i | \(0.520083\pi\) | |||||||
\(440\) | 12.4836 | 0.595132 | ||||||||
\(441\) | 6.97942 | − | 19.8063i | 0.332354 | − | 0.943155i | ||||
\(442\) | −12.7174 | −0.604904 | ||||||||
\(443\) | 4.11436 | + | 2.37543i | 0.195479 | + | 0.112860i | 0.594545 | − | 0.804062i | \(-0.297332\pi\) |
−0.399066 | + | 0.916922i | \(0.630666\pi\) | |||||||
\(444\) | 1.29589 | − | 0.239703i | 0.0615004 | − | 0.0113758i | ||||
\(445\) | −9.81875 | − | 17.0066i | −0.465453 | − | 0.806189i | ||||
\(446\) | 20.3484 | + | 35.2445i | 0.963527 | + | 1.66888i | ||||
\(447\) | −5.52053 | − | 29.8453i | −0.261112 | − | 1.41163i | ||||
\(448\) | 28.1330 | + | 19.8350i | 1.32916 | + | 0.937115i | ||||
\(449\) | − | 16.2393i | − | 0.766379i | −0.923670 | − | 0.383189i | \(-0.874826\pi\) | ||
0.923670 | − | 0.383189i | \(-0.125174\pi\) | |||||||
\(450\) | 19.8473 | + | 3.15798i | 0.935612 | + | 0.148868i | ||||
\(451\) | − | 24.0431i | − | 1.13214i | ||||||
\(452\) | −10.8090 | − | 6.24060i | −0.508414 | − | 0.293533i | ||||
\(453\) | −1.23762 | − | 1.45011i | −0.0581485 | − | 0.0681322i | ||||
\(454\) | −21.6210 | + | 12.4829i | −1.01473 | + | 0.585852i | ||||
\(455\) | −8.15279 | − | 17.6325i | −0.382209 | − | 0.826625i | ||||
\(456\) | 6.99028 | − | 19.7177i | 0.327350 | − | 0.923365i | ||||
\(457\) | 2.87360 | − | 4.97722i | 0.134421 | − | 0.232825i | −0.790955 | − | 0.611874i | \(-0.790416\pi\) |
0.925376 | + | 0.379050i | \(0.123749\pi\) | |||||||
\(458\) | −44.2514 | −2.06773 | ||||||||
\(459\) | −4.83818 | + | 2.95774i | −0.225827 | + | 0.138056i | ||||
\(460\) | 18.2938i | 0.852953i | ||||||||
\(461\) | −18.1346 | + | 31.4101i | −0.844613 | + | 1.46291i | 0.0413440 | + | 0.999145i | \(0.486836\pi\) |
−0.885957 | + | 0.463768i | \(0.846497\pi\) | |||||||
\(462\) | 30.6567 | + | 14.1043i | 1.42628 | + | 0.656191i | ||||
\(463\) | 14.6202 | + | 25.3230i | 0.679461 | + | 1.17686i | 0.975144 | + | 0.221574i | \(0.0711195\pi\) |
−0.295683 | + | 0.955286i | \(0.595547\pi\) | |||||||
\(464\) | 0.245960 | − | 0.142005i | 0.0114184 | − | 0.00659241i | ||||
\(465\) | −7.07549 | + | 6.03869i | −0.328118 | + | 0.280038i | ||||
\(466\) | 3.34665 | − | 5.79656i | 0.155030 | − | 0.268521i | ||||
\(467\) | −2.64215 | −0.122264 | −0.0611320 | − | 0.998130i | \(-0.519471\pi\) | ||||
−0.0611320 | + | 0.998130i | \(0.519471\pi\) | |||||||
\(468\) | 17.4799 | + | 45.6336i | 0.808007 | + | 2.10941i | ||||
\(469\) | 0.157867 | − | 1.73955i | 0.00728961 | − | 0.0803249i | ||||
\(470\) | −11.9347 | − | 6.89053i | −0.550508 | − | 0.317836i | ||||
\(471\) | 3.07442 | + | 16.6211i | 0.141662 | + | 0.765858i | ||||
\(472\) | 22.0674 | − | 12.7406i | 1.01574 | − | 0.586435i | ||||
\(473\) | −21.4218 | + | 12.3679i | −0.984973 | + | 0.568675i | ||||
\(474\) | 2.62488 | + | 14.1907i | 0.120565 | + | 0.651803i | ||||
\(475\) | −11.4408 | − | 6.60532i | −0.524938 | − | 0.303073i | ||||
\(476\) | 0.830357 | − | 9.14978i | 0.0380593 | − | 0.419380i | ||||
\(477\) | −13.2540 | + | 16.3436i | −0.606861 | + | 0.748322i | ||||
\(478\) | 28.1923 | 1.28949 | ||||||||
\(479\) | 15.5409 | − | 26.9177i | 0.710083 | − | 1.22990i | −0.254742 | − | 0.967009i | \(-0.581991\pi\) |
0.964826 | − | 0.262891i | \(-0.0846760\pi\) | |||||||
\(480\) | 11.1969 | − | 9.55614i | 0.511064 | − | 0.436176i | ||||
\(481\) | 1.06012 | − | 0.612058i | 0.0483371 | − | 0.0279074i | ||||
\(482\) | 15.3694 | + | 26.6207i | 0.700059 | + | 1.21254i | ||||
\(483\) | −7.67749 | + | 16.6876i | −0.349338 | + | 0.759311i | ||||
\(484\) | 0.851848 | − | 1.47544i | 0.0387204 | − | 0.0670657i | ||||
\(485\) | − | 4.46684i | − | 0.202829i | ||||||
\(486\) | 28.1140 | + | 21.6521i | 1.27528 | + | 0.982161i | ||||
\(487\) | 34.8720 | 1.58020 | 0.790100 | − | 0.612978i | \(-0.210029\pi\) | ||||
0.790100 | + | 0.612978i | \(0.210029\pi\) | |||||||
\(488\) | 4.39234 | − | 7.60775i | 0.198832 | − | 0.344387i | ||||
\(489\) | 4.18174 | − | 11.7955i | 0.189105 | − | 0.533412i | ||||
\(490\) | 21.5268 | − | 7.67765i | 0.972482 | − | 0.346841i | ||||
\(491\) | −22.6758 | + | 13.0919i | −1.02334 | + | 0.590828i | −0.915071 | − | 0.403293i | \(-0.867866\pi\) |
−0.108273 | + | 0.994121i | \(0.534532\pi\) | |||||||
\(492\) | 26.5917 | + | 31.1573i | 1.19884 | + | 1.40468i | ||||
\(493\) | −1.12252 | − | 0.648085i | −0.0505556 | − | 0.0291883i | ||||
\(494\) | − | 52.3127i | − | 2.35366i | ||||||
\(495\) | 8.76740 | − | 10.8111i | 0.394065 | − | 0.485924i | ||||
\(496\) | − | 0.895374i | − | 0.0402035i | ||||||
\(497\) | 5.82906 | − | 8.26767i | 0.261469 | − | 0.370856i | ||||
\(498\) | −7.82038 | − | 42.2789i | −0.350440 | − | 1.89456i | ||||
\(499\) | −6.23912 | − | 10.8065i | −0.279302 | − | 0.483764i | 0.691910 | − | 0.721984i | \(-0.256770\pi\) |
−0.971211 | + | 0.238220i | \(0.923436\pi\) | |||||||
\(500\) | 18.1248 | + | 31.3931i | 0.810566 | + | 1.40394i | ||||
\(501\) | −29.4789 | + | 5.45276i | −1.31702 | + | 0.243611i | ||||
\(502\) | 14.8140 | + | 8.55285i | 0.661180 | + | 0.381733i | ||||
\(503\) | 37.8479 | 1.68756 | 0.843778 | − | 0.536693i | \(-0.180327\pi\) | ||||
0.843778 | + | 0.536693i | \(0.180327\pi\) | |||||||
\(504\) | −20.5515 | + | 5.80533i | −0.915435 | + | 0.258590i | ||||
\(505\) | −10.1683 | −0.452482 | ||||||||
\(506\) | −25.5631 | − | 14.7588i | −1.13642 | − | 0.656111i | ||||
\(507\) | 14.8490 | + | 17.3984i | 0.659466 | + | 0.772691i | ||||
\(508\) | 9.81354 | + | 16.9976i | 0.435406 | + | 0.754145i | ||||
\(509\) | −17.6924 | − | 30.6441i | −0.784200 | − | 1.35827i | −0.929476 | − | 0.368883i | \(-0.879740\pi\) |
0.145276 | − | 0.989391i | \(-0.453593\pi\) | |||||||
\(510\) | −5.81682 | − | 2.06217i | −0.257573 | − | 0.0913144i | ||||
\(511\) | 11.1456 | − | 15.8083i | 0.493050 | − | 0.699320i | ||||
\(512\) | 2.70367i | 0.119486i | ||||||||
\(513\) | −12.1666 | − | 19.9018i | −0.537170 | − | 0.878684i | ||||
\(514\) | 17.6551i | 0.778734i | ||||||||
\(515\) | −2.11599 | − | 1.22167i | −0.0932419 | − | 0.0538332i | ||||
\(516\) | 14.0815 | − | 39.7199i | 0.619902 | − | 1.74857i | ||||
\(517\) | 11.8247 | − | 6.82701i | 0.520051 | − | 0.300252i | ||||
\(518\) | 0.604419 | + | 1.30721i | 0.0265566 | + | 0.0574356i | ||||
\(519\) | −2.19957 | − | 2.57723i | −0.0965506 | − | 0.113128i | ||||
\(520\) | −9.87756 | + | 17.1084i | −0.433160 | + | 0.750255i | ||||
\(521\) | 2.31879 | 0.101588 | 0.0507940 | − | 0.998709i | \(-0.483825\pi\) | ||||
0.0507940 | + | 0.998709i | \(0.483825\pi\) | |||||||
\(522\) | −1.27455 | + | 8.01033i | −0.0557855 | + | 0.350602i | ||||
\(523\) | 20.1840i | 0.882585i | 0.897363 | + | 0.441293i | \(0.145480\pi\) | ||||
−0.897363 | + | 0.441293i | \(0.854520\pi\) | |||||||
\(524\) | 13.1458 | − | 22.7692i | 0.574277 | − | 0.994677i | ||||
\(525\) | 1.24431 | + | 13.4282i | 0.0543062 | + | 0.586053i | ||||
\(526\) | 15.9194 | + | 27.5733i | 0.694120 | + | 1.20225i | ||||
\(527\) | −3.53886 | + | 2.04316i | −0.154155 | + | 0.0890015i | ||||
\(528\) | 0.243693 | + | 1.31746i | 0.0106054 | + | 0.0573352i | ||||
\(529\) | −3.46621 | + | 6.00365i | −0.150705 | + | 0.261028i | ||||
\(530\) | −22.9011 | −0.994761 | ||||||||
\(531\) | 4.46454 | − | 28.0589i | 0.193745 | − | 1.21765i | ||||
\(532\) | 37.6375 | + | 3.41566i | 1.63179 | + | 0.148088i | ||||
\(533\) | 32.9503 | + | 19.0239i | 1.42724 | + | 0.824016i | ||||
\(534\) | −41.0614 | + | 35.0445i | −1.77690 | + | 1.51653i | ||||
\(535\) | −6.13093 | + | 3.53970i | −0.265063 | + | 0.153034i | ||||
\(536\) | −1.53831 | + | 0.888141i | −0.0664447 | + | 0.0383618i | ||||
\(537\) | −37.8768 | − | 13.4280i | −1.63450 | − | 0.579462i | ||||
\(538\) | −50.9256 | − | 29.4019i | −2.19556 | − | 1.26761i | ||||
\(539\) | −4.07644 | + | 22.2744i | −0.175585 | + | 0.959424i | ||||
\(540\) | 0.595485 | + | 23.7068i | 0.0256256 | + | 1.02018i | ||||
\(541\) | −22.7713 | −0.979014 | −0.489507 | − | 0.871999i | \(-0.662823\pi\) | ||||
−0.489507 | + | 0.871999i | \(0.662823\pi\) | |||||||
\(542\) | −18.9552 | + | 32.8313i | −0.814194 | + | 1.41023i | ||||
\(543\) | −16.7729 | − | 5.94631i | −0.719795 | − | 0.255181i | ||||
\(544\) | 5.60020 | − | 3.23327i | 0.240106 | − | 0.138626i | ||||
\(545\) | 5.83643 | + | 10.1090i | 0.250005 | + | 0.433022i | ||||
\(546\) | −43.5864 | + | 30.8542i | −1.86533 | + | 1.32044i | ||||
\(547\) | 14.7918 | − | 25.6201i | 0.632451 | − | 1.09544i | −0.354598 | − | 0.935019i | \(-0.615382\pi\) |
0.987049 | − | 0.160419i | \(-0.0512845\pi\) | |||||||
\(548\) | − | 32.9270i | − | 1.40657i | ||||||
\(549\) | −3.50371 | − | 9.14690i | −0.149535 | − | 0.390380i | ||||
\(550\) | −21.6706 | −0.924037 | ||||||||
\(551\) | 2.66589 | − | 4.61745i | 0.113571 | − | 0.196710i | ||||
\(552\) | 18.3685 | − | 3.39765i | 0.781815 | − | 0.144613i | ||||
\(553\) | −8.78984 | + | 4.06418i | −0.373782 | + | 0.172827i | ||||
\(554\) | 61.9196 | − | 35.7493i | 2.63071 | − | 1.51884i | ||||
\(555\) | 0.584135 | − | 0.108048i | 0.0247952 | − | 0.00458639i | ||||
\(556\) | −49.1894 | − | 28.3995i | −2.08609 | − | 1.20441i | ||||
\(557\) | 4.71407i | 0.199741i | 0.995000 | + | 0.0998707i | \(0.0318429\pi\) | ||||
−0.995000 | + | 0.0998707i | \(0.968157\pi\) | |||||||
\(558\) | 19.8611 | + | 16.1066i | 0.840786 | + | 0.681845i | ||||
\(559\) | − | 39.1439i | − | 1.65561i | ||||||
\(560\) | 0.741624 | + | 0.522877i | 0.0313393 | + | 0.0220956i | ||||
\(561\) | 4.65103 | − | 3.96950i | 0.196367 | − | 0.167592i | ||||
\(562\) | −10.6517 | − | 18.4493i | −0.449316 | − | 0.778238i | ||||
\(563\) | −13.6742 | − | 23.6844i | −0.576299 | − | 0.998179i | −0.995899 | − | 0.0904697i | \(-0.971163\pi\) |
0.419601 | − | 0.907709i | \(-0.362170\pi\) | |||||||
\(564\) | −7.77292 | + | 21.9253i | −0.327299 | + | 0.923220i | ||||
\(565\) | −4.87226 | − | 2.81300i | −0.204977 | − | 0.118344i | ||||
\(566\) | −35.9066 | −1.50927 | ||||||||
\(567\) | −9.40602 | + | 21.8753i | −0.395016 | + | 0.918674i | ||||
\(568\) | −10.2873 | −0.431645 | ||||||||
\(569\) | 20.4018 | + | 11.7790i | 0.855288 | + | 0.493801i | 0.862432 | − | 0.506174i | \(-0.168941\pi\) |
−0.00714355 | + | 0.999974i | \(0.502274\pi\) | |||||||
\(570\) | 8.48270 | − | 23.9274i | 0.355301 | − | 1.00221i | ||||
\(571\) | −9.59385 | − | 16.6170i | −0.401490 | − | 0.695401i | 0.592416 | − | 0.805632i | \(-0.298174\pi\) |
−0.993906 | + | 0.110231i | \(0.964841\pi\) | |||||||
\(572\) | −26.3465 | − | 45.6336i | −1.10160 | − | 1.90804i | ||||
\(573\) | −29.9323 | + | 25.5462i | −1.25044 | + | 1.06721i | ||||
\(574\) | −25.7939 | + | 36.5848i | −1.07661 | + | 1.52702i | ||||
\(575\) | − | 11.7961i | − | 0.491932i | ||||||
\(576\) | −30.3155 | − | 24.5847i | −1.26314 | − | 1.02436i | ||||
\(577\) | 2.23413i | 0.0930079i | 0.998918 | + | 0.0465039i | \(0.0148080\pi\) | ||||
−0.998918 | + | 0.0465039i | \(0.985192\pi\) | |||||||
\(578\) | 31.1661 | + | 17.9937i | 1.29634 | + | 0.748441i | ||||
\(579\) | 28.7357 | − | 5.31527i | 1.19421 | − | 0.220895i | ||||
\(580\) | −4.69430 | + | 2.71026i | −0.194920 | + | 0.112537i | ||||
\(581\) | 26.1878 | − | 12.1085i | 1.08645 | − | 0.502346i | ||||
\(582\) | −12.0744 | + | 2.23342i | −0.500501 | + | 0.0925783i | ||||
\(583\) | 11.3450 | − | 19.6501i | 0.469862 | − | 0.813826i | ||||
\(584\) | −19.6700 | −0.813949 | ||||||||
\(585\) | 7.87919 | + | 20.5697i | 0.325765 | + | 0.850453i | ||||
\(586\) | 56.5849i | 2.33750i | ||||||||
\(587\) | −12.9883 | + | 22.4963i | −0.536083 | + | 0.928522i | 0.463028 | + | 0.886344i | \(0.346763\pi\) |
−0.999110 | + | 0.0421784i | \(0.986570\pi\) | |||||||
\(588\) | −19.3528 | − | 33.3738i | −0.798098 | − | 1.37631i | ||||
\(589\) | −8.40451 | − | 14.5570i | −0.346302 | − | 0.599813i | ||||
\(590\) | 26.7788 | − | 15.4608i | 1.10247 | − | 0.636509i | ||||
\(591\) | 14.6015 | + | 5.17650i | 0.600625 | + | 0.212933i | ||||
\(592\) | −0.0285900 | + | 0.0495193i | −0.00117504 | + | 0.00203523i | ||||
\(593\) | 5.71754 | 0.234791 | 0.117396 | − | 0.993085i | \(-0.462545\pi\) | ||||
0.117396 | + | 0.993085i | \(0.462545\pi\) | |||||||
\(594\) | −33.6075 | − | 18.2938i | −1.37893 | − | 0.750604i | ||||
\(595\) | 0.374290 | − | 4.12434i | 0.0153444 | − | 0.169081i | ||||
\(596\) | −48.2885 | − | 27.8794i | −1.97797 | − | 1.14198i | ||||
\(597\) | −9.44445 | − | 3.34824i | −0.386536 | − | 0.137034i | ||||
\(598\) | 40.4532 | − | 23.3557i | 1.65425 | − | 0.955084i | ||||
\(599\) | 21.8662 | − | 12.6245i | 0.893429 | − | 0.515822i | 0.0183665 | − | 0.999831i | \(-0.494153\pi\) |
0.875063 | + | 0.484010i | \(0.160820\pi\) | |||||||
\(600\) | 10.4314 | − | 8.90289i | 0.425862 | − | 0.363459i | ||||
\(601\) | 40.2546 | + | 23.2410i | 1.64202 | + | 0.948021i | 0.980114 | + | 0.198435i | \(0.0635858\pi\) |
0.661907 | + | 0.749586i | \(0.269748\pi\) | |||||||
\(602\) | 45.8646 | + | 4.16229i | 1.86930 | + | 0.169642i | ||||
\(603\) | −0.311220 | + | 1.95596i | −0.0126739 | + | 0.0796530i | ||||
\(604\) | −3.50232 | −0.142508 | ||||||||
\(605\) | 0.383978 | − | 0.665069i | 0.0156109 | − | 0.0270389i | ||||
\(606\) | 5.08414 | + | 27.4861i | 0.206529 | + | 1.11655i | ||||
\(607\) | −6.09405 | + | 3.51840i | −0.247350 | + | 0.142808i | −0.618550 | − | 0.785745i | \(-0.712280\pi\) |
0.371200 | + | 0.928553i | \(0.378946\pi\) | |||||||
\(608\) | 13.3000 | + | 23.0363i | 0.539387 | + | 0.934246i | ||||
\(609\) | −5.41957 | + | 0.502201i | −0.219612 | + | 0.0203502i | ||||
\(610\) | 5.33009 | − | 9.23200i | 0.215809 | − | 0.373793i | ||||
\(611\) | 21.6073i | 0.874138i | ||||||||
\(612\) | −1.63697 | + | 10.2881i | −0.0661707 | + | 0.415872i | ||||
\(613\) | 6.54256 | 0.264252 | 0.132126 | − | 0.991233i | \(-0.457820\pi\) | ||||
0.132126 | + | 0.991233i | \(0.457820\pi\) | |||||||
\(614\) | 21.4980 | − | 37.2357i | 0.867590 | − | 1.50271i | ||||
\(615\) | 11.9864 | + | 14.0444i | 0.483339 | + | 0.566324i | ||||
\(616\) | 20.9017 | − | 9.66437i | 0.842153 | − | 0.389388i | ||||
\(617\) | −30.0043 | + | 17.3230i | −1.20793 | + | 0.697396i | −0.962306 | − | 0.271970i | \(-0.912325\pi\) |
−0.245620 | + | 0.969366i | \(0.578992\pi\) | |||||||
\(618\) | −2.24433 | + | 6.33063i | −0.0902800 | + | 0.254655i | ||||
\(619\) | 14.7072 | + | 8.49123i | 0.591134 | + | 0.341291i | 0.765546 | − | 0.643381i | \(-0.222469\pi\) |
−0.174412 | + | 0.984673i | \(0.555802\pi\) | |||||||
\(620\) | 17.0888i | 0.686302i | ||||||||
\(621\) | 9.95800 | − | 18.2938i | 0.399601 | − | 0.734105i | ||||
\(622\) | 18.1071i | 0.726029i | ||||||||
\(623\) | −29.6057 | − | 20.8733i | −1.18613 | − | 0.836271i | ||||
\(624\) | −1.99837 | − | 0.708458i | −0.0799986 | − | 0.0283610i | ||||
\(625\) | 0.812855 | + | 1.40791i | 0.0325142 | + | 0.0563162i | ||||
\(626\) | 12.6724 | + | 21.9492i | 0.506489 | + | 0.877265i | ||||
\(627\) | 16.3285 | + | 19.1319i | 0.652096 | + | 0.764056i | ||||
\(628\) | 26.8922 | + | 15.5262i | 1.07312 | + | 0.619564i | ||||
\(629\) | 0.260959 | 0.0104051 | ||||||||
\(630\) | −24.9392 | + | 7.04476i | −0.993601 | + | 0.280670i | ||||
\(631\) | 26.2438 | 1.04475 | 0.522374 | − | 0.852716i | \(-0.325047\pi\) | ||||
0.522374 | + | 0.852716i | \(0.325047\pi\) | |||||||
\(632\) | 8.52859 | + | 4.92398i | 0.339249 | + | 0.195866i | ||||
\(633\) | 44.0953 | − | 8.15637i | 1.75263 | − | 0.324186i | ||||
\(634\) | 26.4669 | + | 45.8420i | 1.05113 | + | 1.82062i | ||||
\(635\) | 4.42354 | + | 7.66179i | 0.175543 | + | 0.304049i | ||||
\(636\) | 7.03115 | + | 38.0121i | 0.278803 | + | 1.50728i | ||||
\(637\) | −27.3009 | − | 23.2111i | −1.08170 | − | 0.919656i | ||||
\(638\) | − | 8.74619i | − | 0.346265i | ||||||
\(639\) | −7.22489 | + | 8.90904i | −0.285812 | + | 0.352436i | ||||
\(640\) | − | 25.4813i | − | 1.00724i | ||||||
\(641\) | 16.5092 | + | 9.53157i | 0.652073 | + | 0.376474i | 0.789250 | − | 0.614072i | \(-0.210470\pi\) |
−0.137177 | + | 0.990547i | \(0.543803\pi\) | |||||||
\(642\) | 12.6337 | + | 14.8028i | 0.498612 | + | 0.584220i | ||||
\(643\) | 15.3447 | − | 8.85928i | 0.605136 | − | 0.349376i | −0.165923 | − | 0.986139i | \(-0.553060\pi\) |
0.771060 | + | 0.636763i | \(0.219727\pi\) | |||||||
\(644\) | 14.1624 | + | 30.6299i | 0.558077 | + | 1.20699i | ||||
\(645\) | 6.34733 | − | 17.9041i | 0.249926 | − | 0.704973i | ||||
\(646\) | 5.57605 | − | 9.65801i | 0.219387 | − | 0.379989i | ||||
\(647\) | −21.7902 | −0.856661 | −0.428330 | − | 0.903622i | \(-0.640898\pi\) | ||||
−0.428330 | + | 0.903622i | \(0.640898\pi\) | |||||||
\(648\) | 23.6930 | − | 5.00091i | 0.930750 | − | 0.196454i | ||||
\(649\) | 30.6365i | 1.20259i | ||||||||
\(650\) | 17.1467 | − | 29.6990i | 0.672549 | − | 1.16489i | ||||
\(651\) | −7.17177 | + | 15.5884i | −0.281084 | + | 0.610956i | ||||
\(652\) | −11.4955 | − | 19.9108i | −0.450198 | − | 0.779766i | ||||
\(653\) | −13.0852 | + | 7.55475i | −0.512064 | + | 0.295640i | −0.733682 | − | 0.679493i | \(-0.762200\pi\) |
0.221618 | + | 0.975134i | \(0.428866\pi\) | |||||||
\(654\) | 24.4076 | − | 20.8311i | 0.954413 | − | 0.814559i | ||||
\(655\) | 5.92558 | − | 10.2634i | 0.231532 | − | 0.401024i | ||||
\(656\) | −1.77726 | −0.0693903 | ||||||||
\(657\) | −13.8145 | + | 17.0347i | −0.538954 | + | 0.664586i | ||||
\(658\) | −25.3171 | − | 2.29757i | −0.986964 | − | 0.0895685i | ||||
\(659\) | −27.1850 | − | 15.6952i | −1.05898 | − | 0.611400i | −0.133827 | − | 0.991005i | \(-0.542727\pi\) |
−0.925149 | + | 0.379605i | \(0.876060\pi\) | |||||||
\(660\) | −4.65103 | − | 25.1446i | −0.181041 | − | 0.978752i | ||||
\(661\) | −37.8554 | + | 21.8558i | −1.47240 | + | 0.850093i | −0.999518 | − | 0.0310314i | \(-0.990121\pi\) |
−0.472885 | + | 0.881124i | \(0.656787\pi\) | |||||||
\(662\) | −37.7707 | + | 21.8069i | −1.46800 | + | 0.847551i | ||||
\(663\) | 1.75999 | + | 9.51495i | 0.0683524 | + | 0.369530i | ||||
\(664\) | −25.4095 | − | 14.6702i | −0.986078 | − | 0.569312i | ||||
\(665\) | 16.9654 | + | 1.53964i | 0.657890 | + | 0.0597046i | ||||
\(666\) | −0.584135 | − | 1.52496i | −0.0226348 | − | 0.0590912i | ||||
\(667\) | 4.76088 | 0.184342 | ||||||||
\(668\) | −27.5371 | + | 47.6957i | −1.06544 | + | 1.84540i | ||||
\(669\) | 23.5534 | − | 20.1020i | 0.910625 | − | 0.777188i | ||||
\(670\) | −1.86673 | + | 1.07776i | −0.0721181 | + | 0.0416374i | ||||
\(671\) | 5.28096 | + | 9.14690i | 0.203869 | + | 0.353112i | ||||
\(672\) | 11.3492 | − | 24.6684i | 0.437806 | − | 0.951603i | ||||
\(673\) | −4.60589 | + | 7.97763i | −0.177544 | + | 0.307515i | −0.941039 | − | 0.338299i | \(-0.890149\pi\) |
0.763495 | + | 0.645814i | \(0.223482\pi\) | |||||||
\(674\) | − | 65.0051i | − | 2.50390i | ||||||
\(675\) | −0.383978 | − | 15.2865i | −0.0147793 | − | 0.588378i | ||||
\(676\) | 42.0208 | 1.61618 | ||||||||
\(677\) | −11.4194 | + | 19.7789i | −0.438882 | + | 0.760165i | −0.997604 | − | 0.0691899i | \(-0.977959\pi\) |
0.558722 | + | 0.829355i | \(0.311292\pi\) | |||||||
\(678\) | −5.16775 | + | 14.5768i | −0.198466 | + | 0.559819i | ||||
\(679\) | −3.45807 | − | 7.47898i | −0.132709 | − | 0.287017i | ||||
\(680\) | −3.64721 | + | 2.10571i | −0.139864 | + | 0.0807505i | ||||
\(681\) | 12.3317 | + | 14.4490i | 0.472553 | + | 0.553687i | ||||
\(682\) | −23.8792 | − | 13.7867i | −0.914383 | − | 0.527919i | ||||
\(683\) | 34.1826i | 1.30796i | 0.756511 | + | 0.653981i | \(0.226902\pi\) | ||||
−0.756511 | + | 0.653981i | \(0.773098\pi\) | |||||||
\(684\) | −42.3199 | − | 6.73367i | −1.61814 | − | 0.257468i | ||||
\(685\) | − | 14.8421i | − | 0.567088i | ||||||
\(686\) | 30.0992 | − | 29.5202i | 1.14919 | − | 1.12709i | ||||
\(687\) | 6.12408 | + | 33.1082i | 0.233648 | + | 1.26316i | ||||
\(688\) | 0.914230 | + | 1.58349i | 0.0348547 | + | 0.0603701i | ||||
\(689\) | 17.9533 | + | 31.0961i | 0.683967 | + | 1.18467i | ||||
\(690\) | 22.2902 | − | 4.12304i | 0.848572 | − | 0.156961i | ||||
\(691\) | −0.224082 | − | 0.129374i | −0.00852446 | − | 0.00492160i | 0.495732 | − | 0.868476i | \(-0.334900\pi\) |
−0.504256 | + | 0.863554i | \(0.668233\pi\) | |||||||
\(692\) | −6.22453 | −0.236621 | ||||||||
\(693\) | 6.30995 | − | 24.8888i | 0.239695 | − | 0.945448i | ||||
\(694\) | −6.74720 | −0.256120 | ||||||||
\(695\) | −22.1725 | − | 12.8013i | −0.841052 | − | 0.485582i | ||||
\(696\) | 3.59318 | + | 4.21010i | 0.136199 | + | 0.159583i | ||||
\(697\) | 4.05555 | + | 7.02441i | 0.153615 | + | 0.266069i | ||||
\(698\) | −30.7389 | − | 53.2413i | −1.16348 | − | 2.01521i | ||||
\(699\) | −4.80005 | − | 1.70171i | −0.181555 | − | 0.0643645i | ||||
\(700\) | 20.2480 | + | 14.2757i | 0.765302 | + | 0.539571i | ||||
\(701\) | 5.16189i | 0.194962i | 0.995237 | + | 0.0974810i | \(0.0310785\pi\) | ||||
−0.995237 | + | 0.0974810i | \(0.968921\pi\) | |||||||
\(702\) | 51.6628 | − | 31.5833i | 1.94989 | − | 1.19203i | ||||
\(703\) | 1.07345i | 0.0404860i | ||||||||
\(704\) | 36.4487 | + | 21.0437i | 1.37371 | + | 0.793113i | ||||
\(705\) | −3.50371 | + | 9.88299i | −0.131957 | + | 0.372215i | ||||
\(706\) | 58.4475 | − | 33.7447i | 2.19970 | − | 1.27000i | ||||
\(707\) | −17.0251 | + | 7.87192i | −0.640293 | + | 0.296054i | ||||
\(708\) | −33.8840 | − | 39.7016i | −1.27344 | − | 1.49208i | ||||
\(709\) | −11.7472 | + | 20.3468i | −0.441175 | + | 0.764138i | −0.997777 | − | 0.0666412i | \(-0.978772\pi\) |
0.556602 | + | 0.830780i | \(0.312105\pi\) | |||||||
\(710\) | −12.4836 | −0.468501 | ||||||||
\(711\) | 10.2540 | − | 3.92779i | 0.384557 | − | 0.147304i | ||||
\(712\) | 36.8377i | 1.38055i | ||||||||
\(713\) | 7.50460 | − | 12.9984i | 0.281050 | − | 0.486792i | ||||
\(714\) | −11.3357 | + | 1.05042i | −0.424229 | + | 0.0393109i | ||||
\(715\) | −11.8759 | − | 20.5697i | −0.444134 | − | 0.769263i | ||||
\(716\) | −63.9357 | + | 36.9133i | −2.38939 | + | 1.37952i | ||||
\(717\) | −3.90162 | − | 21.0931i | −0.145709 | − | 0.787736i | ||||
\(718\) | −28.0293 | + | 48.5481i | −1.04604 | + | 1.81180i | ||||
\(719\) | −10.1566 | −0.378776 | −0.189388 | − | 0.981902i | \(-0.560650\pi\) | ||||
−0.189388 | + | 0.981902i | \(0.560650\pi\) | |||||||
\(720\) | −0.799156 | − | 0.648085i | −0.0297828 | − | 0.0241527i | ||||
\(721\) | −4.48865 | − | 0.407352i | −0.167166 | − | 0.0151706i | ||||
\(722\) | 2.27128 | + | 1.31132i | 0.0845283 | + | 0.0488024i | ||||
\(723\) | 17.7902 | − | 15.1833i | 0.661623 | − | 0.564673i | ||||
\(724\) | −28.3126 | + | 16.3463i | −1.05223 | + | 0.607504i | ||||
\(725\) | 3.02696 | − | 1.74761i | 0.112418 | − | 0.0649047i | ||||
\(726\) | −1.98975 | − | 0.705404i | −0.0738466 | − | 0.0261800i | ||||
\(727\) | −5.74874 | − | 3.31904i | −0.213209 | − | 0.123096i | 0.389593 | − | 0.920987i | \(-0.372616\pi\) |
−0.602802 | + | 0.797891i | \(0.705949\pi\) | |||||||
\(728\) | −3.29356 | + | 36.2920i | −0.122067 | + | 1.34507i | ||||
\(729\) | 12.3090 | − | 24.0310i | 0.455890 | − | 0.890036i | ||||
\(730\) | −23.8695 | −0.883449 | ||||||||
\(731\) | 4.17238 | − | 7.22678i | 0.154321 | − | 0.267292i | ||||
\(732\) | −16.9601 | − | 6.01266i | −0.626862 | − | 0.222234i | ||||
\(733\) | 5.20130 | − | 3.00297i | 0.192114 | − | 0.110917i | −0.400858 | − | 0.916140i | \(-0.631288\pi\) |
0.592972 | + | 0.805223i | \(0.297954\pi\) | |||||||
\(734\) | −6.38209 | − | 11.0541i | −0.235567 | − | 0.408014i | ||||
\(735\) | −8.72346 | − | 15.0435i | −0.321770 | − | 0.554888i | ||||
\(736\) | −11.8759 | + | 20.5697i | −0.437752 | + | 0.758209i | ||||
\(737\) | − | 2.13565i | − | 0.0786676i | ||||||
\(738\) | 31.9705 | − | 39.4229i | 1.17685 | − | 1.45118i | ||||
\(739\) | −15.6386 | −0.575275 | −0.287638 | − | 0.957739i | \(-0.592870\pi\) | ||||
−0.287638 | + | 0.957739i | \(0.592870\pi\) | |||||||
\(740\) | 0.545658 | − | 0.945107i | 0.0200588 | − | 0.0347428i | ||||
\(741\) | −39.1396 | + | 7.23970i | −1.43783 | + | 0.265957i | ||||
\(742\) | −38.3441 | + | 17.7292i | −1.40765 | + | 0.650861i | ||||
\(743\) | 27.3807 | − | 15.8083i | 1.00450 | − | 0.579949i | 0.0949246 | − | 0.995484i | \(-0.469739\pi\) |
0.909577 | + | 0.415535i | \(0.136406\pi\) | |||||||
\(744\) | 17.1586 | − | 3.17384i | 0.629063 | − | 0.116359i | ||||
\(745\) | −21.7664 | − | 12.5669i | −0.797461 | − | 0.460414i | ||||
\(746\) | − | 8.49897i | − | 0.311169i | ||||||
\(747\) | −30.5501 | + | 11.7022i | −1.11777 | + | 0.428160i | ||||
\(748\) | − | 11.2332i | − | 0.410727i | ||||||
\(749\) | −7.52490 | + | 10.6730i | −0.274954 | + | 0.389982i | ||||
\(750\) | 34.1661 | − | 29.1596i | 1.24757 | − | 1.06476i | ||||
\(751\) | 7.13680 | + | 12.3613i | 0.260426 | + | 0.451070i | 0.966355 | − | 0.257212i | \(-0.0828038\pi\) |
−0.705929 | + | 0.708282i | \(0.749470\pi\) | |||||||
\(752\) | −0.504652 | − | 0.874082i | −0.0184028 | − | 0.0318745i | ||||
\(753\) | 4.34897 | − | 12.2673i | 0.158485 | − | 0.447043i | ||||
\(754\) | 11.9864 | + | 6.92036i | 0.436519 | + | 0.252025i | ||||
\(755\) | −1.57870 | −0.0574548 | ||||||||
\(756\) | 19.3500 | + | 39.2321i | 0.703754 | + | 1.42686i | ||||
\(757\) | −10.8227 | −0.393358 | −0.196679 | − | 0.980468i | \(-0.563016\pi\) | ||||
−0.196679 | + | 0.980468i | \(0.563016\pi\) | |||||||
\(758\) | 60.0134 | + | 34.6488i | 2.17979 | + | 1.25850i | ||||
\(759\) | −7.50460 | + | 21.1684i | −0.272400 | + | 0.768365i | ||||
\(760\) | −8.66182 | − | 15.0027i | −0.314197 | − | 0.544206i | ||||
\(761\) | 2.93098 | + | 5.07660i | 0.106248 | + | 0.184027i | 0.914247 | − | 0.405157i | \(-0.132783\pi\) |
−0.808000 | + | 0.589183i | \(0.799450\pi\) | |||||||
\(762\) | 18.4990 | − | 15.7882i | 0.670147 | − | 0.571948i | ||||
\(763\) | 17.5981 | + | 12.4074i | 0.637095 | + | 0.449180i | ||||
\(764\) | 72.2926i | 2.61546i | ||||||||
\(765\) | −0.737879 | + | 4.63744i | −0.0266781 | + | 0.167667i | ||||
\(766\) | − | 38.6645i | − | 1.39701i | ||||||
\(767\) | −41.9865 | − | 24.2409i | −1.51604 | − | 0.875288i | ||||
\(768\) | −24.5614 | + | 4.54315i | −0.886282 | + | 0.163937i | ||||
\(769\) | 27.5683 | − | 15.9166i | 0.994140 | − | 0.573967i | 0.0876307 | − | 0.996153i | \(-0.472070\pi\) |
0.906509 | + | 0.422186i | \(0.138737\pi\) | |||||||
\(770\) | 25.3642 | − | 11.7277i | 0.914061 | − | 0.422637i | ||||
\(771\) | 13.2093 | − | 2.44334i | 0.475721 | − | 0.0879947i | ||||
\(772\) | 26.8428 | − | 46.4931i | 0.966094 | − | 1.67332i | ||||
\(773\) | 19.0382 | 0.684755 | 0.342378 | − | 0.939562i | \(-0.388768\pi\) | ||||
0.342378 | + | 0.939562i | \(0.388768\pi\) | |||||||
\(774\) | −51.5706 | − | 8.20557i | −1.85367 | − | 0.294943i | ||||
\(775\) | − | 11.0191i | − | 0.395818i | ||||||
\(776\) | −4.18965 | + | 7.25668i | −0.150400 | + | 0.260500i | ||||
\(777\) | 0.894389 | − | 0.633125i | 0.0320860 | − | 0.0227132i | ||||
\(778\) | −12.3977 | − | 21.4734i | −0.444478 | − | 0.769859i | ||||
\(779\) | −28.8948 | + | 16.6824i | −1.03526 | + | 0.597710i | ||||
\(780\) | 38.1401 | + | 13.5214i | 1.36563 | + | 0.484143i | ||||
\(781\) | 6.18427 | − | 10.7115i | 0.221290 | − | 0.383286i | ||||
\(782\) | 9.95800 | 0.356097 | ||||||||
\(783\) | 6.16959 | − | 0.154972i | 0.220483 | − | 0.00553826i | ||||
\(784\) | 1.64652 | + | 0.301330i | 0.0588042 | + | 0.0107618i | ||||
\(785\) | 12.1219 | + | 6.99857i | 0.432649 | + | 0.249790i | ||||
\(786\) | −30.7060 | − | 10.8859i | −1.09525 | − | 0.388286i | ||||
\(787\) | −16.4123 | + | 9.47564i | −0.585035 | + | 0.337770i | −0.763132 | − | 0.646243i | \(-0.776339\pi\) |
0.178097 | + | 0.984013i | \(0.443006\pi\) | |||||||
\(788\) | 24.6472 | − | 14.2301i | 0.878020 | − | 0.506925i | ||||
\(789\) | 18.4268 | − | 15.7266i | 0.656010 | − | 0.559883i | ||||
\(790\) | 10.3494 | + | 5.97525i | 0.368216 | + | 0.212590i | ||||
\(791\) | −10.3355 | − | 0.937963i | −0.367488 | − | 0.0333501i | ||||
\(792\) | −24.3834 | + | 9.34004i | −0.866428 | + | 0.331884i | ||||
\(793\) | −16.7141 | −0.593535 | ||||||||
\(794\) | −25.3857 | + | 43.9693i | −0.900905 | + | 1.56041i | ||||
\(795\) | 3.16935 | + | 17.1343i | 0.112405 | + | 0.607690i | ||||
\(796\) | −15.9422 | + | 9.20422i | −0.565055 | + | 0.326235i | ||||
\(797\) | −26.7207 | − | 46.2816i | −0.946497 | − | 1.63938i | −0.752727 | − | 0.658333i | \(-0.771262\pi\) |
−0.193770 | − | 0.981047i | \(-0.562071\pi\) | |||||||
\(798\) | −4.32088 | − | 46.6294i | −0.152958 | − | 1.65066i | ||||
\(799\) | −2.30314 | + | 3.98916i | −0.0814792 | + | 0.141126i | ||||
\(800\) | 17.4376i | 0.616511i | ||||||||
\(801\) | 31.9024 | + | 25.8716i | 1.12722 | + | 0.914129i | ||||
\(802\) | −54.8194 | −1.93574 | ||||||||
\(803\) | 11.8247 | − | 20.4810i | 0.417286 | − | 0.722760i | ||||
\(804\) | 2.36203 | + | 2.76757i | 0.0833024 | + | 0.0976048i | ||||
\(805\) | 6.38383 | + | 13.8067i | 0.225000 | + | 0.486621i | ||||
\(806\) | 37.7885 | − | 21.8172i | 1.33104 | − | 0.768479i | ||||
\(807\) | −14.9503 | + | 42.1708i | −0.526277 | + | 1.48448i | ||||
\(808\) | 16.5190 | + | 9.53727i | 0.581137 | + | 0.335520i | ||||
\(809\) | − | 2.58095i | − | 0.0907413i | −0.998970 | − | 0.0453706i | \(-0.985553\pi\) | ||
0.998970 | − | 0.0453706i | \(-0.0144469\pi\) | |||||||
\(810\) | 28.7515 | − | 6.06860i | 1.01022 | − | 0.213229i | ||||
\(811\) | 6.06938i | 0.213125i | 0.994306 | + | 0.106562i | \(0.0339844\pi\) | ||||
−0.994306 | + | 0.106562i | \(0.966016\pi\) | |||||||
\(812\) | −5.76163 | + | 8.17203i | −0.202194 | + | 0.286782i | ||||
\(813\) | 27.1871 | + | 9.63835i | 0.953495 | + | 0.338032i | ||||
\(814\) | 0.880438 | + | 1.52496i | 0.0308593 | + | 0.0534500i | ||||
\(815\) | −5.18169 | − | 8.97494i | −0.181507 | − | 0.314379i | ||||
\(816\) | −0.293425 | − | 0.343803i | −0.0102719 | − | 0.0120355i | ||||
\(817\) | 29.7272 | + | 17.1630i | 1.04002 | + | 0.600458i | ||||
\(818\) | 59.9811 | 2.09719 | ||||||||
\(819\) | 29.1167 | + | 28.3407i | 1.01742 | + | 0.990304i | ||||
\(820\) | 33.9201 | 1.18454 | ||||||||
\(821\) | 8.03938 | + | 4.64154i | 0.280576 | + | 0.161991i | 0.633684 | − | 0.773592i | \(-0.281542\pi\) |
−0.353108 | + | 0.935583i | \(0.614875\pi\) | |||||||
\(822\) | −40.1200 | + | 7.42106i | −1.39935 | + | 0.258839i | ||||
\(823\) | −9.03448 | − | 15.6482i | −0.314922 | − | 0.545461i | 0.664499 | − | 0.747289i | \(-0.268645\pi\) |
−0.979421 | + | 0.201828i | \(0.935312\pi\) | |||||||
\(824\) | 2.29172 | + | 3.96937i | 0.0798357 | + | 0.138280i | ||||
\(825\) | 2.99905 | + | 16.2136i | 0.104414 | + | 0.564486i | ||||
\(826\) | 32.8674 | − | 46.6176i | 1.14360 | − | 1.62203i | ||||
\(827\) | − | 48.5440i | − | 1.68804i | −0.536310 | − | 0.844021i | \(-0.680182\pi\) | ||
0.536310 | − | 0.844021i | \(-0.319818\pi\) | |||||||
\(828\) | −13.6871 | − | 35.7321i | −0.475661 | − | 1.24178i | ||||
\(829\) | − | 5.44792i | − | 0.189214i | −0.995515 | − | 0.0946071i | \(-0.969841\pi\) | ||
0.995515 | − | 0.0946071i | \(-0.0301595\pi\) | |||||||
\(830\) | −30.8344 | − | 17.8022i | −1.07028 | − | 0.617924i | ||||
\(831\) | −35.3163 | − | 41.3798i | −1.22511 | − | 1.43545i | ||||
\(832\) | −57.6796 | + | 33.3013i | −1.99968 | + | 1.15452i | ||||
\(833\) | −2.56623 | − | 7.19527i | −0.0889147 | − | 0.249302i | ||||
\(834\) | −23.5172 | + | 66.3357i | −0.814335 | + | 2.29702i | ||||
\(835\) | −12.4126 | + | 21.4992i | −0.429556 | + | 0.744012i | ||||
\(836\) | 46.2076 | 1.59812 | ||||||||
\(837\) | 9.30206 | − | 17.0888i | 0.321526 | − | 0.590675i | ||||
\(838\) | − | 73.6460i | − | 2.54406i | ||||||
\(839\) | −24.2673 | + | 42.0322i | −0.837801 | + | 1.45111i | 0.0539281 | + | 0.998545i | \(0.482826\pi\) |
−0.891729 | + | 0.452569i | \(0.850508\pi\) | |||||||
\(840\) | −7.39134 | + | 16.0656i | −0.255025 | + | 0.554316i | ||||
\(841\) | −13.7947 | − | 23.8931i | −0.475678 | − | 0.823899i | ||||
\(842\) | 21.8727 | − | 12.6282i | 0.753781 | − | 0.435196i | ||||
\(843\) | −12.3294 | + | 10.5227i | −0.424646 | + | 0.362421i | ||||
\(844\) | 41.1907 | − | 71.3444i | 1.41784 | − | 2.45578i | ||||
\(845\) | 18.9412 | 0.651598 | ||||||||
\(846\) | 28.4668 | + | 4.52945i | 0.978708 | + | 0.155726i | ||||
\(847\) | 0.128033 | − | 1.41081i | 0.00439926 | − | 0.0484759i | ||||
\(848\) | −1.45254 | − | 0.838622i | −0.0498803 | − | 0.0287984i | ||||
\(849\) | 4.96922 | + | 26.8648i | 0.170543 | + | 0.921998i | ||||
\(850\) | 6.33127 | − | 3.65536i | 0.217161 | − | 0.125378i | ||||
\(851\) | −0.830095 | + | 0.479256i | −0.0284553 | + | 0.0164287i | ||||
\(852\) | 3.83274 | + | 20.7207i | 0.131308 | + | 0.709881i | ||||
\(853\) | −10.7703 | − | 6.21823i | −0.368768 | − | 0.212908i | 0.304152 | − | 0.952623i | \(-0.401627\pi\) |
−0.672920 | + | 0.739715i | \(0.734960\pi\) | |||||||
\(854\) | 1.77726 | − | 19.5838i | 0.0608165 | − | 0.670144i | ||||
\(855\) | −19.0761 | − | 3.03526i | −0.652387 | − | 0.103804i | ||||
\(856\) | 13.2801 | 0.453906 | ||||||||
\(857\) | 5.29077 | − | 9.16388i | 0.180729 | − | 0.313032i | −0.761400 | − | 0.648283i | \(-0.775488\pi\) |
0.942129 | + | 0.335250i | \(0.108821\pi\) | |||||||
\(858\) | −49.6644 | + | 42.3869i | −1.69552 | + | 1.44707i | ||||
\(859\) | −28.1452 | + | 16.2496i | −0.960302 | + | 0.554431i | −0.896266 | − | 0.443517i | \(-0.853731\pi\) |
−0.0640360 | + | 0.997948i | \(0.520397\pi\) | |||||||
\(860\) | −17.4487 | − | 30.2220i | −0.594995 | − | 1.03056i | ||||
\(861\) | 30.9419 | + | 14.2355i | 1.05450 | + | 0.485145i | ||||
\(862\) | −18.5579 | + | 32.1432i | −0.632084 | + | 1.09480i | ||||
\(863\) | − | 25.2203i | − | 0.858510i | −0.903183 | − | 0.429255i | \(-0.858776\pi\) | ||
0.903183 | − | 0.429255i | \(-0.141224\pi\) | |||||||
\(864\) | −14.7204 | + | 27.0427i | −0.500797 | + | 0.920013i | ||||
\(865\) | −2.80576 | −0.0953987 | ||||||||
\(866\) | −14.2683 | + | 24.7135i | −0.484857 | + | 0.839797i | ||||
\(867\) | 9.14949 | − | 25.8082i | 0.310733 | − | 0.876492i | ||||
\(868\) | 13.2295 | + | 28.6123i | 0.449040 | + | 0.971164i | ||||
\(869\) | −10.2540 | + | 5.92017i | −0.347844 | + | 0.200828i | ||||
\(870\) | 4.36032 | + | 5.10896i | 0.147829 | + | 0.173210i | ||||
\(871\) | 2.92685 | + | 1.68982i | 0.0991724 | + | 0.0572572i | ||||
\(872\) | − | 21.8970i | − | 0.741525i | ||||||
\(873\) | 3.34203 | + | 8.72481i | 0.113110 | + | 0.295290i | ||||
\(874\) | 40.9621i | 1.38556i | ||||||||
\(875\) | 24.6341 | + | 17.3681i | 0.832784 | + | 0.587149i | ||||
\(876\) | 7.32846 | + | 39.6194i | 0.247606 | + | 1.33862i | ||||
\(877\) | 7.47893 | + | 12.9539i | 0.252546 | + | 0.437422i | 0.964226 | − | 0.265082i | \(-0.0853989\pi\) |
−0.711680 | + | 0.702503i | \(0.752066\pi\) | |||||||
\(878\) | −21.1961 | − | 36.7127i | −0.715333 | − | 1.23899i | ||||
\(879\) | 42.3360 | − | 7.83094i | 1.42796 | − | 0.264131i | ||||
\(880\) | 0.960836 | + | 0.554739i | 0.0323898 | + | 0.0187003i | ||||
\(881\) | −36.4482 | −1.22797 | −0.613985 | − | 0.789318i | \(-0.710434\pi\) | ||||
−0.613985 | + | 0.789318i | \(0.710434\pi\) | |||||||
\(882\) | −36.3027 | + | 31.1023i | −1.22237 | + | 1.04727i | ||||
\(883\) | 15.9831 | 0.537873 | 0.268936 | − | 0.963158i | \(-0.413328\pi\) | ||||
0.268936 | + | 0.963158i | \(0.413328\pi\) | |||||||
\(884\) | 15.3948 | + | 8.88819i | 0.517783 | + | 0.298942i | ||||
\(885\) | −15.2735 | − | 17.8958i | −0.513413 | − | 0.601562i | ||||
\(886\) | −5.40739 | − | 9.36588i | −0.181665 | − | 0.314653i | ||||
\(887\) | 24.5208 | + | 42.4713i | 0.823329 | + | 1.42605i | 0.903190 | + | 0.429241i | \(0.141219\pi\) |
−0.0798613 | + | 0.996806i | \(0.525448\pi\) | |||||||
\(888\) | −1.05031 | − | 0.372354i | −0.0352461 | − | 0.0124954i | ||||
\(889\) | 13.3380 | + | 9.40383i | 0.447341 | + | 0.315394i | ||||
\(890\) | 44.7026i | 1.49843i | ||||||||
\(891\) | −9.03611 | + | 27.6763i | −0.302721 | + | 0.927192i | ||||
\(892\) | − | 56.8862i | − | 1.90469i | ||||||
\(893\) | −16.4093 | − | 9.47393i | −0.549117 | − | 0.317033i | ||||
\(894\) | −23.0865 | + | 65.1208i | −0.772129 | + | 2.17796i | ||||
\(895\) | −28.8196 | + | 16.6390i | −0.963332 | + | 0.556180i | ||||
\(896\) | −19.7267 | − | 42.6641i | −0.659023 | − | 1.42531i | ||||
\(897\) | −23.0728 | − | 27.0342i | −0.770378 | − | 0.902646i | ||||
\(898\) | −18.4834 | + | 32.0143i | −0.616801 | + | 1.06833i | ||||
\(899\) | 4.44728 | 0.148325 | ||||||||
\(900\) | −21.8187 | − | 17.6942i | −0.727292 | − | 0.589806i | ||||
\(901\) | 7.65464i | 0.255013i | ||||||||
\(902\) | −27.3657 | + | 47.3987i | −0.911177 | + | 1.57820i | ||||
\(903\) | −3.23318 | − | 34.8913i | −0.107593 | − | 1.16111i | ||||
\(904\) | 5.27687 | + | 9.13981i | 0.175506 | + | 0.303986i | ||||
\(905\) | −12.7621 | + | 7.36821i | −0.424227 | + | 0.244928i | ||||
\(906\) | 0.789351 | + | 4.26742i | 0.0262244 | + | 0.141776i | ||||
\(907\) | 2.42915 | − | 4.20741i | 0.0806585 | − | 0.139705i | −0.822874 | − | 0.568223i | \(-0.807631\pi\) |
0.903533 | + | 0.428519i | \(0.140964\pi\) | |||||||
\(908\) | 34.8973 | 1.15811 | ||||||||
\(909\) | 19.8611 | − | 7.60775i | 0.658750 | − | 0.252333i | ||||
\(910\) | −3.99673 | + | 44.0404i | −0.132490 | + | 1.45992i | ||||
\(911\) | 14.4945 | + | 8.36843i | 0.480226 | + | 0.277258i | 0.720510 | − | 0.693444i | \(-0.243908\pi\) |
−0.240285 | + | 0.970702i | \(0.577241\pi\) | |||||||
\(912\) | 1.41423 | − | 1.20700i | 0.0468298 | − | 0.0399677i | ||||
\(913\) | 30.5501 | − | 17.6381i | 1.01106 | − | 0.583737i | ||||
\(914\) | −11.3301 | + | 6.54143i | −0.374766 | + | 0.216371i | ||||
\(915\) | −7.64489 | − | 2.71026i | −0.252732 | − | 0.0895983i | ||||
\(916\) | 53.5678 | + | 30.9274i | 1.76993 | + | 1.02187i | ||||
\(917\) | 1.97582 | − | 21.7717i | 0.0652472 | − | 0.718965i | ||||
\(918\) | 12.9045 | − | 0.324145i | 0.425912 | − | 0.0106984i | ||||
\(919\) | 30.6400 | 1.01072 | 0.505360 | − | 0.862909i | \(-0.331360\pi\) | ||||
0.505360 | + | 0.862909i | \(0.331360\pi\) | |||||||
\(920\) | 7.73436 | − | 13.3963i | 0.254994 | − | 0.441663i | ||||
\(921\) | −30.8344 | − | 10.9314i | −1.01603 | − | 0.360200i | ||||
\(922\) | 71.5015 | − | 41.2814i | 2.35478 | − | 1.35953i | ||||
\(923\) | 9.78651 | + | 16.9507i | 0.322127 | + | 0.557940i | ||||
\(924\) | −27.2534 | − | 38.4997i | −0.896572 | − | 1.26655i | ||||
\(925\) | −0.351848 | + | 0.609419i | −0.0115687 | + | 0.0200376i | ||||
\(926\) | − | 66.5627i | − | 2.18739i | ||||||
\(927\) | 5.04708 | + | 0.803057i | 0.165768 | + | 0.0263759i | ||||
\(928\) | −7.03775 | −0.231025 | ||||||||
\(929\) | 14.8723 | − | 25.7595i | 0.487943 | − | 0.845142i | −0.511961 | − | 0.859009i | \(-0.671081\pi\) |
0.999904 | + | 0.0138670i | \(0.00441415\pi\) | |||||||
\(930\) | 20.8219 | − | 3.85145i | 0.682777 | − | 0.126294i | ||||
\(931\) | 29.5976 | − | 10.5562i | 0.970024 | − | 0.345964i | ||||
\(932\) | −8.10245 | + | 4.67795i | −0.265405 | + | 0.153231i | ||||
\(933\) | 13.5475 | − | 2.50589i | 0.443524 | − | 0.0820393i | ||||
\(934\) | 5.20876 | + | 3.00728i | 0.170436 | + | 0.0984011i | ||||
\(935\) | − | 5.06346i | − | 0.165593i | ||||||
\(936\) | 6.49295 | − | 40.8071i | 0.212229 | − | 1.33382i | ||||
\(937\) | 4.03712i | 0.131887i | 0.997823 | + | 0.0659434i | \(0.0210057\pi\) | ||||
−0.997823 | + | 0.0659434i | \(0.978994\pi\) | |||||||
\(938\) | −2.29117 | + | 3.24968i | −0.0748092 | + | 0.106106i | ||||
\(939\) | 14.6683 | − | 12.5189i | 0.478681 | − | 0.408538i | ||||
\(940\) | 9.63160 | + | 16.6824i | 0.314148 | + | 0.544121i | ||||
\(941\) | 7.20264 | + | 12.4753i | 0.234799 | + | 0.406684i | 0.959214 | − | 0.282680i | \(-0.0912234\pi\) |
−0.724415 | + | 0.689364i | \(0.757890\pi\) | |||||||
\(942\) | 12.8571 | − | 36.2662i | 0.418905 | − | 1.18162i | ||||
\(943\) | −25.8009 | − | 14.8962i | −0.840193 | − | 0.485085i | ||||
\(944\) | 2.26464 | 0.0737079 | ||||||||
\(945\) | 8.72219 | + | 17.6842i | 0.283733 | + | 0.575267i | ||||
\(946\) | 56.3081 | 1.83073 | ||||||||
\(947\) | 27.0334 | + | 15.6077i | 0.878467 | + | 0.507183i | 0.870153 | − | 0.492782i | \(-0.164020\pi\) |
0.00831468 | + | 0.999965i | \(0.497353\pi\) | |||||||
\(948\) | 6.74043 | − | 19.0129i | 0.218919 | − | 0.617511i | ||||
\(949\) | 18.7125 | + | 32.4109i | 0.607432 | + | 1.05210i | ||||
\(950\) | 15.0363 | + | 26.0436i | 0.487841 | + | 0.844966i | ||||
\(951\) | 30.6355 | − | 26.1463i | 0.993423 | − | 0.847853i | ||||
\(952\) | −4.47646 | + | 6.34920i | −0.145083 | + | 0.205779i | ||||
\(953\) | 8.55869i | 0.277243i | 0.990345 | + | 0.138622i | \(0.0442672\pi\) | ||||
−0.990345 | + | 0.138622i | \(0.955733\pi\) | |||||||
\(954\) | 44.7313 | − | 17.1343i | 1.44823 | − | 0.554743i | ||||
\(955\) | 32.5865i | 1.05447i | ||||||||
\(956\) | −34.1278 | − | 19.7037i | −1.10377 | − | 0.637263i | ||||
\(957\) | −6.54377 | + | 1.21041i | −0.211530 | + | 0.0391270i | ||||
\(958\) | −61.2751 | + | 35.3772i | −1.97971 | + | 1.14298i | ||||
\(959\) | −11.4902 | − | 24.8506i | −0.371039 | − | 0.802468i | ||||
\(960\) | −31.7821 | + | 5.87877i | −1.02576 | + | 0.189737i | ||||
\(961\) | −8.48973 | + | 14.7046i | −0.273862 | + | 0.474343i | ||||
\(962\) | −2.78656 | −0.0898424 | ||||||||
\(963\) | 9.32683 | − | 11.5009i | 0.300553 | − | 0.370613i | ||||
\(964\) | − | 42.9669i | − | 1.38387i | ||||||
\(965\) | 12.0996 | − | 20.9572i | 0.389501 | − | 0.674635i | ||||
\(966\) | 34.1292 | − | 24.1596i | 1.09809 | − | 0.777322i | ||||
\(967\) | 16.0280 | + | 27.7614i | 0.515427 | + | 0.892745i | 0.999840 | + | 0.0179059i | \(0.00569994\pi\) |
−0.484413 | + | 0.874840i | \(0.660967\pi\) | |||||||
\(968\) | −1.24759 | + | 0.720299i | −0.0400992 | + | 0.0231513i | ||||
\(969\) | −7.99766 | − | 2.83532i | −0.256922 | − | 0.0910837i | ||||
\(970\) | −5.08414 | + | 8.80598i | −0.163242 | + | 0.282743i | ||||
\(971\) | 33.2366 | 1.06661 | 0.533307 | − | 0.845922i | \(-0.320949\pi\) | ||||
0.533307 | + | 0.845922i | \(0.320949\pi\) | |||||||
\(972\) | −18.9002 | − | 45.8596i | −0.606225 | − | 1.47095i | ||||
\(973\) | −47.0345 | − | 4.26845i | −1.50786 | − | 0.136840i | ||||
\(974\) | −68.7469 | − | 39.6911i | −2.20279 | − | 1.27178i | ||||
\(975\) | −24.5933 | − | 8.71878i | −0.787616 | − | 0.279225i | ||||
\(976\) | 0.676137 | − | 0.390368i | 0.0216426 | − | 0.0124954i | ||||
\(977\) | 45.1558 | − | 26.0707i | 1.44466 | − | 0.834076i | 0.446507 | − | 0.894780i | \(-0.352668\pi\) |
0.998156 | + | 0.0607042i | \(0.0193346\pi\) | |||||||
\(978\) | −21.6695 | + | 18.4942i | −0.692915 | + | 0.591379i | ||||
\(979\) | −38.3567 | − | 22.1453i | −1.22589 | − | 0.707765i | ||||
\(980\) | −31.4248 | − | 5.75107i | −1.00383 | − | 0.183711i | ||||
\(981\) | −18.9633 | − | 15.3785i | −0.605453 | − | 0.490999i | ||||
\(982\) | 59.6044 | 1.90205 | ||||||||
\(983\) | −12.1192 | + | 20.9911i | −0.386544 | + | 0.669513i | −0.991982 | − | 0.126379i | \(-0.959664\pi\) |
0.605438 | + | 0.795892i | \(0.292998\pi\) | |||||||
\(984\) | −6.29987 | − | 34.0586i | −0.200833 | − | 1.08575i | ||||
\(985\) | 11.1099 | − | 6.41432i | 0.353992 | − | 0.204377i | ||||
\(986\) | 1.47529 | + | 2.55528i | 0.0469829 | + | 0.0813768i | ||||
\(987\) | 1.78470 | + | 19.2598i | 0.0568077 | + | 0.613048i | ||||
\(988\) | −36.5614 | + | 63.3263i | −1.16317 | + | 2.01468i | ||||
\(989\) | 30.6506i | 0.974632i | ||||||||
\(990\) | −29.5893 | + | 11.3341i | −0.940410 | + | 0.360222i | ||||
\(991\) | −24.1981 | −0.768678 | −0.384339 | − | 0.923192i | \(-0.625571\pi\) | ||||
−0.384339 | + | 0.923192i | \(0.625571\pi\) | |||||||
\(992\) | −11.0937 | + | 19.2148i | −0.352224 | + | 0.610070i | ||||
\(993\) | 21.5428 | + | 25.2416i | 0.683641 | + | 0.801017i | ||||
\(994\) | −20.9017 | + | 9.66437i | −0.662961 | + | 0.306535i | ||||
\(995\) | −7.18607 | + | 4.14888i | −0.227814 | + | 0.131528i | ||||
\(996\) | −20.0819 | + | 56.6457i | −0.636321 | + | 1.79489i | ||||
\(997\) | 8.81920 | + | 5.09177i | 0.279307 | + | 0.161258i | 0.633110 | − | 0.774062i | \(-0.281778\pi\) |
−0.353803 | + | 0.935320i | \(0.615112\pi\) | |||||||
\(998\) | 28.4053i | 0.899155i | ||||||||
\(999\) | −1.06012 | + | 0.648085i | −0.0335406 | + | 0.0205045i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))