Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), degree \(12\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 59.8 | ||
Character | \(\chi\) | \(=\) | 147.59 |
Dual form | 147.2.o.b.5.8 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0569582 | + | 0.377893i | −0.0402755 | + | 0.267211i | −0.999901 | − | 0.0140701i | \(-0.995521\pi\) |
0.959625 | + | 0.281281i | \(0.0907593\pi\) | |||||||
\(3\) | 0.421048 | − | 1.68009i | 0.243092 | − | 0.970003i | ||||
\(4\) | 1.77159 | + | 0.546462i | 0.885793 | + | 0.273231i | ||||
\(5\) | −0.273303 | − | 3.64698i | −0.122225 | − | 1.63098i | −0.635039 | − | 0.772480i | \(-0.719016\pi\) |
0.512814 | − | 0.858500i | \(-0.328603\pi\) | |||||||
\(6\) | 0.610914 | + | 0.254806i | 0.249405 | + | 0.104024i | ||||
\(7\) | −2.49430 | + | 0.882305i | −0.942757 | + | 0.333480i | ||||
\(8\) | −0.639038 | + | 1.32698i | −0.225934 | + | 0.469157i | ||||
\(9\) | −2.64544 | − | 1.41480i | −0.881813 | − | 0.471600i | ||||
\(10\) | 1.39374 | + | 0.104446i | 0.440738 | + | 0.0330287i | ||||
\(11\) | −0.795717 | + | 0.312296i | −0.239918 | + | 0.0941607i | −0.482254 | − | 0.876032i | \(-0.660182\pi\) |
0.242336 | + | 0.970192i | \(0.422086\pi\) | |||||||
\(12\) | 1.66403 | − | 2.74635i | 0.480364 | − | 0.792802i | ||||
\(13\) | 3.66163 | + | 2.92005i | 1.01555 | + | 0.809877i | 0.981870 | − | 0.189556i | \(-0.0607047\pi\) |
0.0336836 | + | 0.999433i | \(0.489276\pi\) | |||||||
\(14\) | −0.191346 | − | 0.992834i | −0.0511394 | − | 0.265346i | ||||
\(15\) | −6.24235 | − | 1.07638i | −1.61177 | − | 0.277919i | ||||
\(16\) | 2.59856 | + | 1.77167i | 0.649640 | + | 0.442917i | ||||
\(17\) | 3.49918 | + | 3.24677i | 0.848676 | + | 0.787456i | 0.978967 | − | 0.204020i | \(-0.0654006\pi\) |
−0.130291 | + | 0.991476i | \(0.541591\pi\) | |||||||
\(18\) | 0.685323 | − | 0.919108i | 0.161532 | − | 0.216636i | ||||
\(19\) | 2.80731 | − | 1.62080i | 0.644041 | − | 0.371837i | −0.142128 | − | 0.989848i | \(-0.545395\pi\) |
0.786170 | + | 0.618011i | \(0.212061\pi\) | |||||||
\(20\) | 1.50876 | − | 6.61029i | 0.337368 | − | 1.47811i | ||||
\(21\) | 0.432137 | + | 4.56215i | 0.0943001 | + | 0.995544i | ||||
\(22\) | −0.0726918 | − | 0.318484i | −0.0154980 | − | 0.0679010i | ||||
\(23\) | 2.30456 | + | 2.48372i | 0.480533 | + | 0.517892i | 0.926060 | − | 0.377377i | \(-0.123174\pi\) |
−0.445526 | + | 0.895269i | \(0.646983\pi\) | |||||||
\(24\) | 1.96038 | + | 1.63236i | 0.400161 | + | 0.333205i | ||||
\(25\) | −8.28162 | + | 1.24825i | −1.65632 | + | 0.249651i | ||||
\(26\) | −1.31203 | + | 1.21738i | −0.257310 | + | 0.238749i | ||||
\(27\) | −3.49085 | + | 3.84889i | −0.671815 | + | 0.740719i | ||||
\(28\) | −4.90102 | + | 0.200039i | −0.926205 | + | 0.0378038i | ||||
\(29\) | −0.0736869 | − | 0.0168186i | −0.0136833 | − | 0.00312313i | 0.215674 | − | 0.976465i | \(-0.430805\pi\) |
−0.229357 | + | 0.973342i | \(0.573662\pi\) | |||||||
\(30\) | 0.762308 | − | 2.29763i | 0.139178 | − | 0.419488i | ||||
\(31\) | −4.42660 | − | 2.55570i | −0.795041 | − | 0.459017i | 0.0466933 | − | 0.998909i | \(-0.485132\pi\) |
−0.841734 | + | 0.539892i | \(0.818465\pi\) | |||||||
\(32\) | −2.82107 | + | 3.04039i | −0.498700 | + | 0.537470i | ||||
\(33\) | 0.189652 | + | 1.46837i | 0.0330142 | + | 0.255611i | ||||
\(34\) | −1.42624 | + | 1.13739i | −0.244598 | + | 0.195060i | ||||
\(35\) | 3.89945 | + | 8.85553i | 0.659128 | + | 1.49686i | ||||
\(36\) | −3.91349 | − | 3.95207i | −0.652248 | − | 0.658679i | ||||
\(37\) | 2.80340 | − | 0.864734i | 0.460876 | − | 0.142161i | −0.0556183 | − | 0.998452i | \(-0.517713\pi\) |
0.516494 | + | 0.856291i | \(0.327237\pi\) | |||||||
\(38\) | 0.452590 | + | 1.15318i | 0.0734198 | + | 0.187071i | ||||
\(39\) | 6.44769 | − | 4.92241i | 1.03246 | − | 0.788216i | ||||
\(40\) | 5.01411 | + | 1.96789i | 0.792800 | + | 0.311151i | ||||
\(41\) | −2.08912 | − | 1.00607i | −0.326266 | − | 0.157122i | 0.263579 | − | 0.964638i | \(-0.415097\pi\) |
−0.589845 | + | 0.807516i | \(0.700811\pi\) | |||||||
\(42\) | −1.74862 | − | 0.0965506i | −0.269818 | − | 0.0148981i | ||||
\(43\) | −1.81967 | + | 0.876307i | −0.277497 | + | 0.133636i | −0.567457 | − | 0.823403i | \(-0.692073\pi\) |
0.289959 | + | 0.957039i | \(0.406358\pi\) | |||||||
\(44\) | −1.58034 | + | 0.118430i | −0.238245 | + | 0.0178540i | ||||
\(45\) | −4.43674 | + | 10.0345i | −0.661390 | + | 1.49586i | ||||
\(46\) | −1.06985 | + | 0.729408i | −0.157740 | + | 0.107545i | ||||
\(47\) | −13.3590 | − | 2.01354i | −1.94861 | − | 0.293705i | −0.948849 | − | 0.315731i | \(-0.897750\pi\) |
−0.999757 | + | 0.0220259i | \(0.992988\pi\) | |||||||
\(48\) | 4.07069 | − | 3.61987i | 0.587553 | − | 0.522483i | ||||
\(49\) | 5.44308 | − | 4.40147i | 0.777582 | − | 0.628781i | ||||
\(50\) | − | 3.20067i | − | 0.452643i | ||||||
\(51\) | 6.92819 | − | 4.51191i | 0.970141 | − | 0.631794i | ||||
\(52\) | 4.89120 | + | 7.17407i | 0.678287 | + | 0.994864i | ||||
\(53\) | −1.59230 | + | 5.16212i | −0.218720 | + | 0.709072i | 0.778009 | + | 0.628253i | \(0.216230\pi\) |
−0.996729 | + | 0.0808188i | \(0.974246\pi\) | |||||||
\(54\) | −1.25564 | − | 1.53840i | −0.170870 | − | 0.209349i | ||||
\(55\) | 1.35641 | + | 2.81661i | 0.182898 | + | 0.379792i | ||||
\(56\) | 0.423155 | − | 3.87370i | 0.0565465 | − | 0.517646i | ||||
\(57\) | −1.54109 | − | 5.39898i | −0.204122 | − | 0.715113i | ||||
\(58\) | 0.0105527 | − | 0.0268878i | 0.00138564 | − | 0.00353054i | ||||
\(59\) | −0.0626888 | + | 0.836524i | −0.00816139 | + | 0.108906i | −0.999797 | − | 0.0201655i | \(-0.993581\pi\) |
0.991635 | + | 0.129072i | \(0.0411997\pi\) | |||||||
\(60\) | −10.4707 | − | 5.31810i | −1.35176 | − | 0.686564i | ||||
\(61\) | −4.09261 | − | 13.2679i | −0.524005 | − | 1.69878i | −0.699785 | − | 0.714353i | \(-0.746721\pi\) |
0.175781 | − | 0.984429i | \(-0.443755\pi\) | |||||||
\(62\) | 1.21791 | − | 1.52721i | 0.154675 | − | 0.193956i | ||||
\(63\) | 7.84680 | + | 1.19485i | 0.988604 | + | 0.150537i | ||||
\(64\) | 2.93355 | + | 3.67855i | 0.366693 | + | 0.459819i | ||||
\(65\) | 9.64864 | − | 14.1520i | 1.19677 | − | 1.75533i | ||||
\(66\) | −0.565690 | − | 0.0119676i | −0.0696316 | − | 0.00147311i | ||||
\(67\) | −2.98362 | + | 5.16779i | −0.364508 | + | 0.631346i | −0.988697 | − | 0.149927i | \(-0.952096\pi\) |
0.624189 | + | 0.781273i | \(0.285429\pi\) | |||||||
\(68\) | 4.42487 | + | 7.66410i | 0.536594 | + | 0.929408i | ||||
\(69\) | 5.14322 | − | 2.82611i | 0.619171 | − | 0.340224i | ||||
\(70\) | −3.56855 | + | 0.969181i | −0.426523 | + | 0.115839i | ||||
\(71\) | −5.77302 | + | 1.31765i | −0.685131 | + | 0.156377i | −0.550897 | − | 0.834573i | \(-0.685714\pi\) |
−0.134234 | + | 0.990950i | \(0.542857\pi\) | |||||||
\(72\) | 3.56794 | − | 2.60632i | 0.420486 | − | 0.307158i | ||||
\(73\) | −0.552711 | − | 3.66700i | −0.0646900 | − | 0.429190i | −0.997609 | − | 0.0691048i | \(-0.977986\pi\) |
0.932919 | − | 0.360085i | \(-0.117252\pi\) | |||||||
\(74\) | 0.167100 | + | 1.10864i | 0.0194250 | + | 0.128877i | ||||
\(75\) | −1.38977 | + | 14.4395i | −0.160477 | + | 1.66733i | ||||
\(76\) | 5.85910 | − | 1.33730i | 0.672085 | − | 0.153399i | ||||
\(77\) | 1.70922 | − | 1.48102i | 0.194783 | − | 0.168778i | ||||
\(78\) | 1.49289 | + | 2.71691i | 0.169037 | + | 0.307629i | ||||
\(79\) | 1.04220 | + | 1.80514i | 0.117256 | + | 0.203094i | 0.918679 | − | 0.395004i | \(-0.129257\pi\) |
−0.801423 | + | 0.598098i | \(0.795923\pi\) | |||||||
\(80\) | 5.75104 | − | 9.96110i | 0.642986 | − | 1.11368i | ||||
\(81\) | 4.99668 | + | 7.48553i | 0.555187 | + | 0.831725i | ||||
\(82\) | 0.499179 | − | 0.732161i | 0.0551251 | − | 0.0808537i | ||||
\(83\) | 8.07797 | + | 10.1295i | 0.886672 | + | 1.11185i | 0.993070 | + | 0.117528i | \(0.0374970\pi\) |
−0.106397 | + | 0.994324i | \(0.533932\pi\) | |||||||
\(84\) | −1.72748 | + | 8.31840i | −0.188483 | + | 0.907612i | ||||
\(85\) | 10.8846 | − | 13.6488i | 1.18060 | − | 1.48042i | ||||
\(86\) | −0.227505 | − | 0.737554i | −0.0245325 | − | 0.0795325i | ||||
\(87\) | −0.0592824 | + | 0.116720i | −0.00635575 | + | 0.0125137i | ||||
\(88\) | 0.0940842 | − | 1.25547i | 0.0100294 | − | 0.133833i | ||||
\(89\) | 5.23882 | − | 13.3483i | 0.555313 | − | 1.41492i | −0.327347 | − | 0.944904i | \(-0.606155\pi\) |
0.882660 | − | 0.470011i | \(-0.155750\pi\) | |||||||
\(90\) | −3.53927 | − | 2.24816i | −0.373072 | − | 0.236977i | ||||
\(91\) | −11.7096 | − | 4.05282i | −1.22750 | − | 0.424850i | ||||
\(92\) | 2.72546 | + | 5.65948i | 0.284149 | + | 0.590042i | ||||
\(93\) | −6.15763 | + | 6.36104i | −0.638516 | + | 0.659609i | ||||
\(94\) | 1.52181 | − | 4.93358i | 0.156962 | − | 0.508859i | ||||
\(95\) | −6.67828 | − | 9.79524i | −0.685177 | − | 1.00497i | ||||
\(96\) | 3.92034 | + | 6.01982i | 0.400118 | + | 0.614395i | ||||
\(97\) | 4.03212i | 0.409399i | 0.978825 | + | 0.204700i | \(0.0656218\pi\) | ||||
−0.978825 | + | 0.204700i | \(0.934378\pi\) | |||||||
\(98\) | 1.35326 | + | 2.30760i | 0.136700 | + | 0.233103i | ||||
\(99\) | 2.54686 | + | 0.299621i | 0.255969 | + | 0.0301130i | ||||
\(100\) | −15.3537 | − | 2.31420i | −1.53537 | − | 0.231420i | ||||
\(101\) | −5.35167 | + | 3.64871i | −0.532511 | + | 0.363060i | −0.799525 | − | 0.600633i | \(-0.794915\pi\) |
0.267014 | + | 0.963693i | \(0.413963\pi\) | |||||||
\(102\) | 1.31040 | + | 2.87511i | 0.129749 | + | 0.284678i | ||||
\(103\) | −1.56407 | + | 0.117211i | −0.154113 | + | 0.0115491i | −0.151563 | − | 0.988448i | \(-0.548431\pi\) |
−0.00254962 | + | 0.999997i | \(0.500812\pi\) | |||||||
\(104\) | −6.21476 | + | 2.99287i | −0.609408 | + | 0.293475i | ||||
\(105\) | 16.5200 | − | 2.82285i | 1.61219 | − | 0.275482i | ||||
\(106\) | −1.86004 | − | 0.895746i | −0.180663 | − | 0.0870025i | ||||
\(107\) | −12.4189 | − | 4.87406i | −1.20058 | − | 0.471194i | −0.321063 | − | 0.947058i | \(-0.604040\pi\) |
−0.879519 | + | 0.475864i | \(0.842135\pi\) | |||||||
\(108\) | −8.28762 | + | 4.91102i | −0.797477 | + | 0.472563i | ||||
\(109\) | −0.182883 | − | 0.465978i | −0.0175170 | − | 0.0446326i | 0.921848 | − | 0.387552i | \(-0.126679\pi\) |
−0.939365 | + | 0.342920i | \(0.888584\pi\) | |||||||
\(110\) | −1.14164 | + | 0.352148i | −0.108851 | + | 0.0335760i | ||||
\(111\) | −0.272471 | − | 5.07407i | −0.0258618 | − | 0.481609i | ||||
\(112\) | −8.04474 | − | 2.12635i | −0.760156 | − | 0.200921i | ||||
\(113\) | 5.36828 | − | 4.28106i | 0.505006 | − | 0.402729i | −0.337575 | − | 0.941299i | \(-0.609607\pi\) |
0.842581 | + | 0.538570i | \(0.181035\pi\) | |||||||
\(114\) | 2.12802 | − | 0.274851i | 0.199307 | − | 0.0257421i | ||||
\(115\) | 8.42824 | − | 9.08349i | 0.785938 | − | 0.847040i | ||||
\(116\) | −0.121352 | − | 0.0700626i | −0.0112673 | − | 0.00650515i | ||||
\(117\) | −5.55533 | − | 12.9053i | −0.513590 | − | 1.19309i | ||||
\(118\) | −0.312546 | − | 0.0713366i | −0.0287722 | − | 0.00656707i | ||||
\(119\) | −11.5926 | − | 5.01106i | −1.06270 | − | 0.459363i | ||||
\(120\) | 5.41742 | − | 7.59560i | 0.494541 | − | 0.693380i | ||||
\(121\) | −7.52793 | + | 6.98490i | −0.684358 | + | 0.634991i | ||||
\(122\) | 5.24696 | − | 0.790852i | 0.475038 | − | 0.0716004i | ||||
\(123\) | −2.56991 | + | 3.08632i | −0.231721 | + | 0.278284i | ||||
\(124\) | −6.44551 | − | 6.94661i | −0.578824 | − | 0.623824i | ||||
\(125\) | 2.74673 | + | 12.0342i | 0.245675 | + | 1.07637i | ||||
\(126\) | −0.898467 | + | 2.89720i | −0.0800418 | + | 0.258103i | ||||
\(127\) | −0.997137 | + | 4.36874i | −0.0884816 | + | 0.387663i | −0.999706 | − | 0.0242471i | \(-0.992281\pi\) |
0.911224 | + | 0.411910i | \(0.135138\pi\) | |||||||
\(128\) | −8.74101 | + | 5.04662i | −0.772603 | + | 0.446063i | ||||
\(129\) | 0.706112 | + | 3.42619i | 0.0621697 | + | 0.301659i | ||||
\(130\) | 4.79836 | + | 4.45223i | 0.420844 | + | 0.390486i | ||||
\(131\) | 12.0900 | + | 8.24285i | 1.05631 | + | 0.720181i | 0.961358 | − | 0.275300i | \(-0.0887773\pi\) |
0.0949537 | + | 0.995482i | \(0.469730\pi\) | |||||||
\(132\) | −0.466424 | + | 2.70498i | −0.0405970 | + | 0.235439i | ||||
\(133\) | −5.57224 | + | 6.51967i | −0.483174 | + | 0.565327i | ||||
\(134\) | −1.78293 | − | 1.42184i | −0.154022 | − | 0.122828i | ||||
\(135\) | 14.9909 | + | 11.6792i | 1.29021 | + | 1.00518i | ||||
\(136\) | −6.54449 | + | 2.56852i | −0.561185 | + | 0.220249i | ||||
\(137\) | 16.3326 | + | 1.22396i | 1.39539 | + | 0.104570i | 0.751087 | − | 0.660203i | \(-0.229530\pi\) |
0.644300 | + | 0.764773i | \(0.277149\pi\) | |||||||
\(138\) | 0.775019 | + | 2.10456i | 0.0659740 | + | 0.179152i | ||||
\(139\) | 0.416352 | − | 0.864565i | 0.0353145 | − | 0.0733314i | −0.882565 | − | 0.470190i | \(-0.844185\pi\) |
0.917880 | + | 0.396859i | \(0.129900\pi\) | |||||||
\(140\) | 2.06900 | + | 17.8192i | 0.174863 | + | 1.50600i | ||||
\(141\) | −9.00770 | + | 21.5965i | −0.758585 | + | 1.81876i | ||||
\(142\) | −0.169111 | − | 2.25663i | −0.0141915 | − | 0.189373i | ||||
\(143\) | −3.82554 | − | 1.18002i | −0.319908 | − | 0.0986785i | ||||
\(144\) | −4.36777 | − | 8.36327i | −0.363981 | − | 0.696940i | ||||
\(145\) | −0.0411981 | + | 0.273331i | −0.00342131 | + | 0.0226989i | ||||
\(146\) | 1.41722 | 0.117290 | ||||||||
\(147\) | −5.10309 | − | 10.9981i | −0.420896 | − | 0.907109i | ||||
\(148\) | 5.43901 | 0.447084 | ||||||||
\(149\) | −1.34663 | + | 8.93428i | −0.110320 | + | 0.731925i | 0.863457 | + | 0.504422i | \(0.168294\pi\) |
−0.973777 | + | 0.227503i | \(0.926944\pi\) | |||||||
\(150\) | −5.37742 | − | 1.34763i | −0.439065 | − | 0.110034i | ||||
\(151\) | 0.686547 | + | 0.211772i | 0.0558704 | + | 0.0172337i | 0.322564 | − | 0.946548i | \(-0.395455\pi\) |
−0.266694 | + | 0.963781i | \(0.585931\pi\) | |||||||
\(152\) | 0.356787 | + | 4.76099i | 0.0289392 | + | 0.386167i | ||||
\(153\) | −4.66334 | − | 13.5398i | −0.377009 | − | 1.09462i | ||||
\(154\) | 0.462315 | + | 0.730258i | 0.0372544 | + | 0.0588459i | ||||
\(155\) | −8.11078 | + | 16.8422i | −0.651474 | + | 1.35280i | ||||
\(156\) | 14.1125 | − | 5.19705i | 1.12991 | − | 0.416097i | ||||
\(157\) | 12.2202 | + | 0.915779i | 0.975279 | + | 0.0730871i | 0.552825 | − | 0.833297i | \(-0.313550\pi\) |
0.422454 | + | 0.906384i | \(0.361169\pi\) | |||||||
\(158\) | −0.741511 | + | 0.291022i | −0.0589915 | + | 0.0231524i | ||||
\(159\) | 8.00242 | + | 4.84872i | 0.634633 | + | 0.384528i | ||||
\(160\) | 11.8593 | + | 9.45744i | 0.937557 | + | 0.747677i | ||||
\(161\) | −7.93966 | − | 4.16183i | −0.625733 | − | 0.327998i | ||||
\(162\) | −3.11333 | + | 1.46185i | −0.244606 | + | 0.114854i | ||||
\(163\) | −12.1496 | − | 8.28343i | −0.951627 | − | 0.648808i | −0.0152795 | − | 0.999883i | \(-0.504864\pi\) |
−0.936347 | + | 0.351075i | \(0.885816\pi\) | |||||||
\(164\) | −3.15128 | − | 2.92396i | −0.246074 | − | 0.228323i | ||||
\(165\) | 5.30329 | − | 1.09297i | 0.412861 | − | 0.0850875i | ||||
\(166\) | −4.28796 | + | 2.47565i | −0.332810 | + | 0.192148i | ||||
\(167\) | 2.80518 | − | 12.2903i | 0.217071 | − | 0.951052i | −0.742558 | − | 0.669782i | \(-0.766387\pi\) |
0.959629 | − | 0.281269i | \(-0.0907554\pi\) | |||||||
\(168\) | −6.33002 | − | 2.34195i | −0.488372 | − | 0.180686i | ||||
\(169\) | 1.98806 | + | 8.71025i | 0.152927 | + | 0.670019i | ||||
\(170\) | 4.53782 | + | 4.89061i | 0.348035 | + | 0.375093i | ||||
\(171\) | −9.71967 | + | 0.315948i | −0.743282 | + | 0.0241611i | ||||
\(172\) | −3.70257 | + | 0.558073i | −0.282319 | + | 0.0425527i | ||||
\(173\) | 3.89856 | − | 3.61734i | 0.296402 | − | 0.275021i | −0.517926 | − | 0.855425i | \(-0.673296\pi\) |
0.814329 | + | 0.580404i | \(0.197105\pi\) | |||||||
\(174\) | −0.0407309 | − | 0.0290506i | −0.00308780 | − | 0.00220232i | ||||
\(175\) | 19.5555 | − | 10.4204i | 1.47826 | − | 0.787711i | ||||
\(176\) | −2.62100 | − | 0.598226i | −0.197565 | − | 0.0450930i | ||||
\(177\) | 1.37905 | + | 0.457540i | 0.103655 | + | 0.0343908i | ||||
\(178\) | 4.74583 | + | 2.74001i | 0.355715 | + | 0.205372i | ||||
\(179\) | 17.9072 | − | 19.2994i | 1.33845 | − | 1.44250i | 0.538217 | − | 0.842806i | \(-0.319098\pi\) |
0.800228 | − | 0.599695i | \(-0.204712\pi\) | |||||||
\(180\) | −13.3436 | + | 15.3525i | −0.994570 | + | 1.14431i | ||||
\(181\) | −15.6279 | + | 12.4628i | −1.16161 | + | 0.926355i | −0.998186 | − | 0.0602001i | \(-0.980826\pi\) |
−0.163427 | + | 0.986555i | \(0.552255\pi\) | |||||||
\(182\) | 2.19849 | − | 4.19413i | 0.162963 | − | 0.310890i | ||||
\(183\) | −24.0145 | + | 1.28955i | −1.77521 | + | 0.0953263i | ||||
\(184\) | −4.76854 | + | 1.47090i | −0.351541 | + | 0.108436i | ||||
\(185\) | −3.91985 | − | 9.98760i | −0.288193 | − | 0.734303i | ||||
\(186\) | −2.05307 | − | 2.68924i | −0.150538 | − | 0.197185i | ||||
\(187\) | −3.79831 | − | 1.49073i | −0.277760 | − | 0.109013i | ||||
\(188\) | −22.5663 | − | 10.8673i | −1.64581 | − | 0.792582i | ||||
\(189\) | 5.31134 | − | 12.6803i | 0.386343 | − | 0.922355i | ||||
\(190\) | 4.08194 | − | 1.96576i | 0.296135 | − | 0.142611i | ||||
\(191\) | 13.5505 | − | 1.01547i | 0.980478 | − | 0.0734766i | 0.425163 | − | 0.905117i | \(-0.360217\pi\) |
0.555315 | + | 0.831640i | \(0.312598\pi\) | |||||||
\(192\) | 7.41548 | − | 3.37979i | 0.535166 | − | 0.243916i | ||||
\(193\) | 15.9229 | − | 10.8560i | 1.14615 | − | 0.781434i | 0.167282 | − | 0.985909i | \(-0.446501\pi\) |
0.978872 | + | 0.204475i | \(0.0655487\pi\) | |||||||
\(194\) | −1.52371 | − | 0.229662i | −0.109396 | − | 0.0164888i | ||||
\(195\) | −19.7141 | − | 22.1693i | −1.41176 | − | 1.58758i | ||||
\(196\) | 12.0481 | − | 4.82315i | 0.860580 | − | 0.344511i | ||||
\(197\) | − | 11.9014i | − | 0.847943i | −0.905676 | − | 0.423971i | \(-0.860636\pi\) | ||
0.905676 | − | 0.423971i | \(-0.139364\pi\) | |||||||
\(198\) | −0.258289 | + | 0.945373i | −0.0183558 | + | 0.0671848i | ||||
\(199\) | −4.08591 | − | 5.99293i | −0.289643 | − | 0.424828i | 0.653647 | − | 0.756800i | \(-0.273238\pi\) |
−0.943289 | + | 0.331972i | \(0.892286\pi\) | |||||||
\(200\) | 3.63587 | − | 11.7872i | 0.257095 | − | 0.833481i | ||||
\(201\) | 7.42613 | + | 7.18866i | 0.523799 | + | 0.507049i | ||||
\(202\) | −1.07400 | − | 2.23018i | −0.0755663 | − | 0.156915i | ||||
\(203\) | 0.198636 | − | 0.0230638i | 0.0139415 | − | 0.00161876i | ||||
\(204\) | 14.7395 | − | 4.20725i | 1.03197 | − | 0.294566i | ||||
\(205\) | −3.09815 | + | 7.89395i | −0.216384 | + | 0.551338i | ||||
\(206\) | 0.0447935 | − | 0.597728i | 0.00312091 | − | 0.0416457i | ||||
\(207\) | −2.58259 | − | 9.83102i | −0.179503 | − | 0.683303i | ||||
\(208\) | 4.34160 | + | 14.0751i | 0.301036 | + | 0.975934i | ||||
\(209\) | −1.72765 | + | 2.16641i | −0.119504 | + | 0.149854i | ||||
\(210\) | 0.125786 | + | 6.40357i | 0.00868006 | + | 0.441889i | ||||
\(211\) | 7.84667 | + | 9.83942i | 0.540187 | + | 0.677373i | 0.974758 | − | 0.223264i | \(-0.0716713\pi\) |
−0.434571 | + | 0.900638i | \(0.643100\pi\) | |||||||
\(212\) | −5.64181 | + | 8.27501i | −0.387481 | + | 0.568330i | ||||
\(213\) | −0.216932 | + | 10.2540i | −0.0148639 | + | 0.702593i | ||||
\(214\) | 2.54924 | − | 4.41540i | 0.174262 | − | 0.301831i | ||||
\(215\) | 3.69320 | + | 6.39681i | 0.251874 | + | 0.436259i | ||||
\(216\) | −2.87660 | − | 7.09187i | −0.195728 | − | 0.482540i | ||||
\(217\) | 13.2962 | + | 2.46907i | 0.902604 | + | 0.167611i | ||||
\(218\) | 0.186507 | − | 0.0425689i | 0.0126318 | − | 0.00288313i | ||||
\(219\) | −6.39363 | − | 0.615374i | −0.432041 | − | 0.0415831i | ||||
\(220\) | 0.863824 | + | 5.73110i | 0.0582390 | + | 0.386391i | ||||
\(221\) | 3.33198 | + | 22.1062i | 0.224133 | + | 1.48703i | ||||
\(222\) | 1.93298 | + | 0.186045i | 0.129733 | + | 0.0124865i | ||||
\(223\) | −19.9730 | + | 4.55871i | −1.33749 | + | 0.305274i | −0.830664 | − | 0.556774i | \(-0.812039\pi\) |
−0.506828 | + | 0.862047i | \(0.669182\pi\) | |||||||
\(224\) | 4.35405 | − | 10.0727i | 0.290917 | − | 0.673010i | ||||
\(225\) | 23.6745 | + | 8.41466i | 1.57830 | + | 0.560977i | ||||
\(226\) | 1.31202 | + | 2.27248i | 0.0872740 | + | 0.151163i | ||||
\(227\) | −11.0080 | + | 19.0664i | −0.730628 | + | 1.26548i | 0.225988 | + | 0.974130i | \(0.427439\pi\) |
−0.956615 | + | 0.291354i | \(0.905894\pi\) | |||||||
\(228\) | 0.220166 | − | 10.4069i | 0.0145809 | − | 0.689215i | ||||
\(229\) | 9.82793 | − | 14.4149i | 0.649448 | − | 0.952566i | −0.350424 | − | 0.936591i | \(-0.613963\pi\) |
0.999872 | − | 0.0159745i | \(-0.00508505\pi\) | |||||||
\(230\) | 2.95253 | + | 3.70236i | 0.194684 | + | 0.244126i | ||||
\(231\) | −1.76860 | − | 3.49523i | −0.116365 | − | 0.229969i | ||||
\(232\) | 0.0694065 | − | 0.0870331i | 0.00455676 | − | 0.00571400i | ||||
\(233\) | 3.77714 | + | 12.2452i | 0.247449 | + | 0.802210i | 0.991039 | + | 0.133574i | \(0.0426453\pi\) |
−0.743590 | + | 0.668636i | \(0.766879\pi\) | |||||||
\(234\) | 5.19324 | − | 1.36426i | 0.339493 | − | 0.0891843i | ||||
\(235\) | −3.69229 | + | 49.2702i | −0.240859 | + | 3.21403i | ||||
\(236\) | −0.568188 | + | 1.44772i | −0.0369859 | + | 0.0942384i | ||||
\(237\) | 3.47162 | − | 0.990941i | 0.225506 | − | 0.0643685i | ||||
\(238\) | 2.55394 | − | 4.09536i | 0.165548 | − | 0.265463i | ||||
\(239\) | −6.04265 | − | 12.5477i | −0.390867 | − | 0.811643i | −0.999830 | − | 0.0184446i | \(-0.994129\pi\) |
0.608963 | − | 0.793199i | \(-0.291586\pi\) | |||||||
\(240\) | −14.3141 | − | 13.8564i | −0.923973 | − | 0.894426i | ||||
\(241\) | 4.50064 | − | 14.5907i | 0.289911 | − | 0.939870i | −0.687078 | − | 0.726583i | \(-0.741107\pi\) |
0.976990 | − | 0.213287i | \(-0.0684168\pi\) | |||||||
\(242\) | −2.21077 | − | 3.24260i | −0.142114 | − | 0.208442i | ||||
\(243\) | 14.6802 | − | 5.24314i | 0.941738 | − | 0.336348i | ||||
\(244\) | − | 25.7417i | − | 1.64794i | ||||||
\(245\) | −17.5397 | − | 18.6479i | −1.12057 | − | 1.19137i | ||||
\(246\) | −1.01992 | − | 1.14694i | −0.0650279 | − | 0.0731264i | ||||
\(247\) | 15.0122 | + | 2.26272i | 0.955201 | + | 0.143973i | ||||
\(248\) | 6.22012 | − | 4.24080i | 0.394978 | − | 0.269291i | ||||
\(249\) | 20.4197 | − | 9.30677i | 1.29404 | − | 0.589793i | ||||
\(250\) | −4.70409 | + | 0.352523i | −0.297513 | + | 0.0222955i | ||||
\(251\) | 4.03881 | − | 1.94499i | 0.254927 | − | 0.122767i | −0.302056 | − | 0.953290i | \(-0.597673\pi\) |
0.556983 | + | 0.830524i | \(0.311959\pi\) | |||||||
\(252\) | 13.2484 | + | 6.40477i | 0.834568 | + | 0.403462i | ||||
\(253\) | −2.60943 | − | 1.25664i | −0.164054 | − | 0.0790040i | ||||
\(254\) | −1.59412 | − | 0.625647i | −0.100024 | − | 0.0392566i | ||||
\(255\) | −18.3484 | − | 24.0339i | −1.14902 | − | 1.50506i | ||||
\(256\) | 2.02868 | + | 5.16899i | 0.126792 | + | 0.323062i | ||||
\(257\) | −8.59659 | + | 2.65170i | −0.536241 | + | 0.165408i | −0.551035 | − | 0.834482i | \(-0.685767\pi\) |
0.0147942 | + | 0.999891i | \(0.495291\pi\) | |||||||
\(258\) | −1.33495 | + | 0.0716852i | −0.0831104 | + | 0.00446292i | ||||
\(259\) | −6.22956 | + | 4.63036i | −0.387086 | + | 0.287716i | ||||
\(260\) | 24.8269 | − | 19.7988i | 1.53970 | − | 1.22787i | ||||
\(261\) | 0.171139 | + | 0.148745i | 0.0105933 | + | 0.00920706i | ||||
\(262\) | −3.80354 | + | 4.09925i | −0.234984 | + | 0.253252i | ||||
\(263\) | −2.07991 | − | 1.20084i | −0.128253 | − | 0.0740467i | 0.434501 | − | 0.900671i | \(-0.356925\pi\) |
−0.562754 | + | 0.826625i | \(0.690258\pi\) | |||||||
\(264\) | −2.06969 | − | 0.686681i | −0.127381 | − | 0.0422623i | ||||
\(265\) | 19.2613 | + | 4.39628i | 1.18321 | + | 0.270061i | ||||
\(266\) | −2.14635 | − | 2.47706i | −0.131601 | − | 0.151878i | ||||
\(267\) | −20.2206 | − | 14.4220i | −1.23748 | − | 0.882610i | ||||
\(268\) | −8.10975 | + | 7.52475i | −0.495382 | + | 0.459647i | ||||
\(269\) | −11.0646 | + | 1.66772i | −0.674622 | + | 0.101683i | −0.477414 | − | 0.878679i | \(-0.658426\pi\) |
−0.197208 | + | 0.980362i | \(0.563188\pi\) | |||||||
\(270\) | −5.26733 | + | 4.99973i | −0.320559 | + | 0.304274i | ||||
\(271\) | −7.17186 | − | 7.72943i | −0.435660 | − | 0.469530i | 0.476613 | − | 0.879113i | \(-0.341864\pi\) |
−0.912272 | + | 0.409584i | \(0.865674\pi\) | |||||||
\(272\) | 3.34064 | + | 14.6363i | 0.202556 | + | 0.887455i | ||||
\(273\) | −11.7394 | + | 17.9668i | −0.710501 | + | 1.08740i | ||||
\(274\) | −1.39280 | + | 6.10226i | −0.0841422 | + | 0.368651i | ||||
\(275\) | 6.20000 | − | 3.57957i | 0.373874 | − | 0.215856i | ||||
\(276\) | 10.6560 | − | 2.19613i | 0.641417 | − | 0.132191i | ||||
\(277\) | −6.33717 | − | 5.88004i | −0.380764 | − | 0.353297i | 0.466452 | − | 0.884547i | \(-0.345532\pi\) |
−0.847215 | + | 0.531249i | \(0.821723\pi\) | |||||||
\(278\) | 0.302998 | + | 0.206581i | 0.0181726 | + | 0.0123899i | ||||
\(279\) | 8.09450 | + | 13.0237i | 0.484605 | + | 0.779708i | ||||
\(280\) | −14.2430 | − | 0.484542i | −0.851181 | − | 0.0289570i | ||||
\(281\) | 23.1125 | + | 18.4316i | 1.37878 | + | 1.09954i | 0.983486 | + | 0.180982i | \(0.0579276\pi\) |
0.395291 | + | 0.918556i | \(0.370644\pi\) | |||||||
\(282\) | −7.64812 | − | 4.63405i | −0.455439 | − | 0.275954i | ||||
\(283\) | 16.7465 | − | 6.57252i | 0.995476 | − | 0.390696i | 0.189009 | − | 0.981975i | \(-0.439472\pi\) |
0.806467 | + | 0.591280i | \(0.201377\pi\) | |||||||
\(284\) | −10.9474 | − | 0.820398i | −0.649611 | − | 0.0486816i | ||||
\(285\) | −19.2688 | + | 7.09588i | −1.14139 | + | 0.420324i | ||||
\(286\) | 0.663819 | − | 1.37843i | 0.0392524 | − | 0.0815085i | ||||
\(287\) | 6.09856 | + | 0.666194i | 0.359987 | + | 0.0393242i | ||||
\(288\) | 11.7645 | − | 4.05192i | 0.693231 | − | 0.238761i | ||||
\(289\) | 0.432369 | + | 5.76957i | 0.0254335 | + | 0.339386i | ||||
\(290\) | −0.100943 | − | 0.0311369i | −0.00592760 | − | 0.00182842i | ||||
\(291\) | 6.77434 | + | 1.69771i | 0.397119 | + | 0.0995216i | ||||
\(292\) | 1.02470 | − | 6.79844i | 0.0599661 | − | 0.397849i | ||||
\(293\) | −27.1075 | −1.58364 | −0.791820 | − | 0.610755i | \(-0.790866\pi\) | ||||
−0.791820 | + | 0.610755i | \(0.790866\pi\) | |||||||
\(294\) | 4.44677 | − | 1.30199i | 0.259341 | − | 0.0759337i | ||||
\(295\) | 3.06792 | 0.178621 | ||||||||
\(296\) | −0.643997 | + | 4.27264i | −0.0374316 | + | 0.248342i | ||||
\(297\) | 1.57574 | − | 4.15280i | 0.0914336 | − | 0.240970i | ||||
\(298\) | −3.29950 | − | 1.01776i | −0.191135 | − | 0.0589574i | ||||
\(299\) | 1.18584 | + | 15.8239i | 0.0685788 | + | 0.915120i | ||||
\(300\) | −10.3527 | + | 24.8213i | −0.597715 | + | 1.43306i | ||||
\(301\) | 3.76564 | − | 3.79128i | 0.217048 | − | 0.218526i | ||||
\(302\) | −0.119132 | + | 0.247379i | −0.00685526 | + | 0.0142351i | ||||
\(303\) | 3.87687 | + | 10.5276i | 0.222720 | + | 0.604794i | ||||
\(304\) | 10.1665 | + | 0.761872i | 0.583088 | + | 0.0436964i | ||||
\(305\) | −47.2693 | + | 18.5518i | −2.70663 | + | 1.06228i | ||||
\(306\) | 5.38220 | − | 0.991045i | 0.307680 | − | 0.0566543i | ||||
\(307\) | 8.69038 | + | 6.93034i | 0.495986 | + | 0.395536i | 0.839286 | − | 0.543690i | \(-0.182973\pi\) |
−0.343300 | + | 0.939226i | \(0.611545\pi\) | |||||||
\(308\) | 3.83735 | − | 1.68974i | 0.218653 | − | 0.0962820i | ||||
\(309\) | −0.461623 | + | 2.67714i | −0.0262608 | + | 0.152297i | ||||
\(310\) | −5.90258 | − | 4.02431i | −0.335244 | − | 0.228565i | ||||
\(311\) | −7.83616 | − | 7.27090i | −0.444348 | − | 0.412295i | 0.426007 | − | 0.904720i | \(-0.359920\pi\) |
−0.870355 | + | 0.492425i | \(0.836110\pi\) | |||||||
\(312\) | 2.41160 | + | 11.7015i | 0.136530 | + | 0.662469i | ||||
\(313\) | −27.6690 | + | 15.9747i | −1.56394 | + | 0.902944i | −0.567093 | + | 0.823654i | \(0.691932\pi\) |
−0.996852 | + | 0.0792902i | \(0.974735\pi\) | |||||||
\(314\) | −1.04211 | + | 4.56577i | −0.0588096 | + | 0.257662i | ||||
\(315\) | 2.21305 | − | 28.9437i | 0.124691 | − | 1.63079i | ||||
\(316\) | 0.859903 | + | 3.76748i | 0.0483733 | + | 0.211937i | ||||
\(317\) | −4.38031 | − | 4.72086i | −0.246023 | − | 0.265150i | 0.597952 | − | 0.801532i | \(-0.295981\pi\) |
−0.843975 | + | 0.536382i | \(0.819791\pi\) | |||||||
\(318\) | −2.28810 | + | 2.74788i | −0.128310 | + | 0.154094i | ||||
\(319\) | 0.0638863 | − | 0.00962930i | 0.00357694 | − | 0.000539138i | ||||
\(320\) | 12.6139 | − | 11.7040i | 0.705136 | − | 0.654271i | ||||
\(321\) | −13.4178 | + | 18.8127i | −0.748911 | + | 1.05002i | ||||
\(322\) | 2.02496 | − | 2.76329i | 0.112846 | − | 0.153992i | ||||
\(323\) | 15.0856 | + | 3.44320i | 0.839388 | + | 0.191585i | ||||
\(324\) | 4.76150 | + | 15.9918i | 0.264528 | + | 0.888431i | ||||
\(325\) | −33.9692 | − | 19.6121i | −1.88427 | − | 1.08789i | ||||
\(326\) | 3.82227 | − | 4.11943i | 0.211696 | − | 0.228154i | ||||
\(327\) | −0.859890 | + | 0.111062i | −0.0475520 | + | 0.00614173i | ||||
\(328\) | 2.67006 | − | 2.12930i | 0.147429 | − | 0.117571i | ||||
\(329\) | 35.0979 | − | 6.76431i | 1.93501 | − | 0.372929i | ||||
\(330\) | 0.110959 | + | 2.06633i | 0.00610811 | + | 0.113748i | ||||
\(331\) | −9.41533 | + | 2.90425i | −0.517513 | + | 0.159632i | −0.542500 | − | 0.840056i | \(-0.682522\pi\) |
0.0249862 | + | 0.999688i | \(0.492046\pi\) | |||||||
\(332\) | 8.77546 | + | 22.3595i | 0.481616 | + | 1.22714i | ||||
\(333\) | −8.63964 | − | 1.67865i | −0.473449 | − | 0.0919893i | ||||
\(334\) | 4.48464 | + | 1.76009i | 0.245389 | + | 0.0963079i | ||||
\(335\) | 19.6623 | + | 9.46885i | 1.07426 | + | 0.517338i | ||||
\(336\) | −6.95969 | + | 12.6206i | −0.379682 | + | 0.688512i | ||||
\(337\) | −6.43020 | + | 3.09662i | −0.350275 | + | 0.168684i | −0.600745 | − | 0.799441i | \(-0.705129\pi\) |
0.250470 | + | 0.968124i | \(0.419415\pi\) | |||||||
\(338\) | −3.40478 | + | 0.255153i | −0.185196 | + | 0.0138785i | ||||
\(339\) | −4.93229 | − | 10.8218i | −0.267885 | − | 0.587757i | ||||
\(340\) | 26.7415 | − | 18.2320i | 1.45026 | − | 0.988771i | ||||
\(341\) | 4.32045 | + | 0.651204i | 0.233966 | + | 0.0352647i | ||||
\(342\) | 0.434221 | − | 3.69099i | 0.0234800 | − | 0.199586i | ||||
\(343\) | −9.69323 | + | 15.7810i | −0.523385 | + | 0.852096i | ||||
\(344\) | − | 2.97465i | − | 0.160383i | ||||||
\(345\) | −11.7124 | − | 17.9848i | −0.630576 | − | 0.968271i | ||||
\(346\) | 1.14491 | + | 1.67928i | 0.0615508 | + | 0.0902785i | ||||
\(347\) | 2.88180 | − | 9.34257i | 0.154703 | − | 0.501535i | −0.844730 | − | 0.535192i | \(-0.820239\pi\) |
0.999433 | + | 0.0336569i | \(0.0107153\pi\) | |||||||
\(348\) | −0.168807 | + | 0.174383i | −0.00904899 | + | 0.00934792i | ||||
\(349\) | −7.47382 | − | 15.5195i | −0.400064 | − | 0.830742i | −0.999539 | − | 0.0303486i | \(-0.990338\pi\) |
0.599475 | − | 0.800393i | \(-0.295376\pi\) | |||||||
\(350\) | 2.82396 | + | 7.98343i | 0.150947 | + | 0.426732i | ||||
\(351\) | −24.0212 | + | 3.89974i | −1.28216 | + | 0.208152i | ||||
\(352\) | 1.29527 | − | 3.30030i | 0.0690382 | − | 0.175907i | ||||
\(353\) | 0.676252 | − | 9.02396i | 0.0359933 | − | 0.480297i | −0.949859 | − | 0.312679i | \(-0.898774\pi\) |
0.985852 | − | 0.167618i | \(-0.0536074\pi\) | |||||||
\(354\) | −0.251449 | + | 0.495071i | −0.0133644 | + | 0.0263127i | ||||
\(355\) | 6.38324 | + | 20.6940i | 0.338787 | + | 1.09832i | ||||
\(356\) | 16.5754 | − | 20.7848i | 0.878492 | − | 1.10159i | ||||
\(357\) | −13.3001 | + | 17.3669i | −0.703917 | + | 0.919151i | ||||
\(358\) | 6.27313 | + | 7.86626i | 0.331545 | + | 0.415745i | ||||
\(359\) | −6.17158 | + | 9.05205i | −0.325724 | + | 0.477749i | −0.953817 | − | 0.300389i | \(-0.902883\pi\) |
0.628093 | + | 0.778138i | \(0.283836\pi\) | |||||||
\(360\) | −10.4803 | − | 12.2999i | −0.552362 | − | 0.648261i | ||||
\(361\) | −4.24601 | + | 7.35430i | −0.223474 | + | 0.387068i | ||||
\(362\) | −3.81948 | − | 6.61554i | −0.200748 | − | 0.347705i | ||||
\(363\) | 8.56568 | + | 15.5886i | 0.449582 | + | 0.818190i | ||||
\(364\) | −18.5298 | − | 13.5788i | −0.971227 | − | 0.711720i | ||||
\(365\) | −13.2224 | + | 3.01793i | −0.692093 | + | 0.157966i | ||||
\(366\) | 0.880513 | − | 9.14838i | 0.0460252 | − | 0.478193i | ||||
\(367\) | 0.770951 | + | 5.11492i | 0.0402433 | + | 0.266997i | 0.999899 | − | 0.0141794i | \(-0.00451358\pi\) |
−0.959656 | + | 0.281176i | \(0.909275\pi\) | |||||||
\(368\) | 1.58820 | + | 10.5370i | 0.0827905 | + | 0.549279i | ||||
\(369\) | 4.10326 | + | 5.61718i | 0.213607 | + | 0.292419i | ||||
\(370\) | 3.99751 | − | 0.912407i | 0.207821 | − | 0.0474338i | ||||
\(371\) | −0.582882 | − | 14.2808i | −0.0302617 | − | 0.741421i | ||||
\(372\) | −14.3848 | + | 7.90422i | −0.745819 | + | 0.409815i | ||||
\(373\) | −10.2430 | − | 17.7413i | −0.530360 | − | 0.918611i | −0.999373 | − | 0.0354194i | \(-0.988723\pi\) |
0.469012 | − | 0.883192i | \(-0.344610\pi\) | |||||||
\(374\) | 0.779680 | − | 1.35045i | 0.0403163 | − | 0.0698299i | ||||
\(375\) | 21.3751 | + | 0.452207i | 1.10381 | + | 0.0233519i | ||||
\(376\) | 11.2088 | − | 16.4403i | 0.578050 | − | 0.847844i | ||||
\(377\) | −0.220703 | − | 0.276753i | −0.0113668 | − | 0.0142535i | ||||
\(378\) | 4.48927 | + | 2.72937i | 0.230903 | + | 0.140383i | ||||
\(379\) | 3.94006 | − | 4.94067i | 0.202387 | − | 0.253785i | −0.670272 | − | 0.742116i | \(-0.733822\pi\) |
0.872659 | + | 0.488330i | \(0.162394\pi\) | |||||||
\(380\) | −6.47842 | − | 21.0025i | −0.332336 | − | 1.07741i | ||||
\(381\) | 6.92006 | + | 3.51473i | 0.354525 | + | 0.180065i | ||||
\(382\) | −0.388073 | + | 5.17847i | −0.0198555 | + | 0.264953i | ||||
\(383\) | −2.76768 | + | 7.05194i | −0.141422 | + | 0.360337i | −0.983983 | − | 0.178264i | \(-0.942952\pi\) |
0.842561 | + | 0.538601i | \(0.181047\pi\) | |||||||
\(384\) | 4.79843 | + | 16.8106i | 0.244869 | + | 0.857862i | ||||
\(385\) | −5.86841 | − | 5.82871i | −0.299082 | − | 0.297059i | ||||
\(386\) | 3.19548 | + | 6.63549i | 0.162646 | + | 0.337737i | ||||
\(387\) | 6.05363 | + | 0.256253i | 0.307723 | + | 0.0130261i | ||||
\(388\) | −2.20340 | + | 7.14324i | −0.111861 | + | 0.362643i | ||||
\(389\) | 2.98757 | + | 4.38196i | 0.151476 | + | 0.222174i | 0.894475 | − | 0.447118i | \(-0.147550\pi\) |
−0.742999 | + | 0.669292i | \(0.766597\pi\) | |||||||
\(390\) | 9.50050 | − | 6.18710i | 0.481076 | − | 0.313296i | ||||
\(391\) | 16.1733i | 0.817921i | ||||||||
\(392\) | 2.36231 | + | 10.0355i | 0.119315 | + | 0.506871i | ||||
\(393\) | 18.9393 | − | 16.8418i | 0.955359 | − | 0.849556i | ||||
\(394\) | 4.49747 | + | 0.677885i | 0.226579 | + | 0.0341514i | ||||
\(395\) | 6.29847 | − | 4.29422i | 0.316910 | − | 0.216066i | ||||
\(396\) | 4.34824 | + | 1.92256i | 0.218507 | + | 0.0966125i | ||||
\(397\) | 20.5869 | − | 1.54278i | 1.03323 | − | 0.0774298i | 0.452695 | − | 0.891666i | \(-0.350463\pi\) |
0.580534 | + | 0.814236i | \(0.302844\pi\) | |||||||
\(398\) | 2.49741 | − | 1.20269i | 0.125184 | − | 0.0602855i | ||||
\(399\) | 8.60749 | + | 12.1070i | 0.430913 | + | 0.606107i | ||||
\(400\) | −23.7318 | − | 11.4286i | −1.18659 | − | 0.571431i | ||||
\(401\) | 5.68021 | + | 2.22932i | 0.283656 | + | 0.111327i | 0.502904 | − | 0.864342i | \(-0.332265\pi\) |
−0.219248 | + | 0.975669i | \(0.570360\pi\) | |||||||
\(402\) | −3.13952 | + | 2.39683i | −0.156585 | + | 0.119543i | ||||
\(403\) | −8.74580 | − | 22.2839i | −0.435659 | − | 1.11004i | ||||
\(404\) | −11.4748 | + | 3.53951i | −0.570894 | + | 0.176097i | ||||
\(405\) | 25.9340 | − | 20.2686i | 1.28867 | − | 1.00716i | ||||
\(406\) | −0.00259833 | + | 0.0763770i | −0.000128953 | + | 0.00379053i | ||||
\(407\) | −1.96066 | + | 1.56357i | −0.0971862 | + | 0.0775034i | ||||
\(408\) | 1.55982 | + | 12.0768i | 0.0772227 | + | 0.597892i | ||||
\(409\) | −8.43602 | + | 9.09187i | −0.417134 | + | 0.449564i | −0.906305 | − | 0.422624i | \(-0.861109\pi\) |
0.489171 | + | 0.872188i | \(0.337299\pi\) | |||||||
\(410\) | −2.80661 | − | 1.62039i | −0.138608 | − | 0.0800256i | ||||
\(411\) | 8.93316 | − | 26.9250i | 0.440640 | − | 1.32811i | ||||
\(412\) | −2.83494 | − | 0.647056i | −0.139667 | − | 0.0318782i | ||||
\(413\) | −0.581705 | − | 2.14185i | −0.0286238 | − | 0.105394i | ||||
\(414\) | 3.86218 | − | 0.415987i | 0.189816 | − | 0.0204447i | ||||
\(415\) | 34.7342 | − | 32.2286i | 1.70503 | − | 1.58204i | ||||
\(416\) | −19.2078 | + | 2.89511i | −0.941741 | + | 0.141945i | ||||
\(417\) | −1.27725 | − | 1.06353i | −0.0625470 | − | 0.0520815i | ||||
\(418\) | −0.720267 | − | 0.776264i | −0.0352294 | − | 0.0379683i | ||||
\(419\) | −4.26246 | − | 18.6751i | −0.208235 | − | 0.912337i | −0.965741 | − | 0.259508i | \(-0.916439\pi\) |
0.757506 | − | 0.652828i | \(-0.226418\pi\) | |||||||
\(420\) | 30.8092 | + | 4.02663i | 1.50333 | + | 0.196479i | ||||
\(421\) | 0.724850 | − | 3.17578i | 0.0353270 | − | 0.154778i | −0.954188 | − | 0.299208i | \(-0.903278\pi\) |
0.989515 | + | 0.144430i | \(0.0461348\pi\) | |||||||
\(422\) | −4.16518 | + | 2.40477i | −0.202758 | + | 0.117062i | ||||
\(423\) | 32.4916 | + | 24.2270i | 1.57979 | + | 1.17796i | ||||
\(424\) | −5.83247 | − | 5.41174i | −0.283250 | − | 0.262817i | ||||
\(425\) | −33.0317 | − | 22.5206i | −1.60227 | − | 1.09241i | ||||
\(426\) | −3.86256 | − | 0.666027i | −0.187142 | − | 0.0322691i | ||||
\(427\) | 21.9146 | + | 29.4832i | 1.06052 | + | 1.42679i | ||||
\(428\) | −19.3377 | − | 15.4213i | −0.934723 | − | 0.745416i | ||||
\(429\) | −3.59329 | + | 5.93043i | −0.173485 | + | 0.286324i | ||||
\(430\) | −2.62767 | + | 1.03128i | −0.126717 | + | 0.0497329i | ||||
\(431\) | 17.7599 | + | 1.33092i | 0.855463 | + | 0.0641081i | 0.495238 | − | 0.868757i | \(-0.335081\pi\) |
0.360225 | + | 0.932865i | \(0.382700\pi\) | |||||||
\(432\) | −15.8901 | + | 3.81693i | −0.764514 | + | 0.183642i | ||||
\(433\) | 10.2984 | − | 21.3848i | 0.494909 | − | 1.02769i | −0.492619 | − | 0.870245i | \(-0.663960\pi\) |
0.987528 | − | 0.157444i | \(-0.0503253\pi\) | |||||||
\(434\) | −1.69037 | + | 4.88390i | −0.0811404 | + | 0.234435i | ||||
\(435\) | 0.441876 | + | 0.184302i | 0.0211863 | + | 0.00883661i | ||||
\(436\) | −0.0693536 | − | 0.925459i | −0.00332143 | − | 0.0443215i | ||||
\(437\) | 10.4952 | + | 3.23735i | 0.502055 | + | 0.154863i | ||||
\(438\) | 0.596715 | − | 2.38106i | 0.0285122 | − | 0.113771i | ||||
\(439\) | −4.69281 | + | 31.1347i | −0.223976 | + | 1.48598i | 0.540509 | + | 0.841338i | \(0.318232\pi\) |
−0.764484 | + | 0.644642i | \(0.777006\pi\) | |||||||
\(440\) | −4.60438 | −0.219505 | ||||||||
\(441\) | −20.6265 | + | 3.94295i | −0.982215 | + | 0.187760i | ||||
\(442\) | −8.54358 | −0.406377 | ||||||||
\(443\) | 1.09586 | − | 7.27057i | 0.0520660 | − | 0.345435i | −0.947597 | − | 0.319469i | \(-0.896496\pi\) |
0.999663 | − | 0.0259665i | \(-0.00826632\pi\) | |||||||
\(444\) | 2.29008 | − | 9.13805i | 0.108682 | − | 0.433673i | ||||
\(445\) | −50.1127 | − | 15.4577i | −2.37557 | − | 0.732767i | ||||
\(446\) | −0.585078 | − | 7.80732i | −0.0277042 | − | 0.369687i | ||||
\(447\) | 14.4435 | + | 6.02422i | 0.683152 | + | 0.284936i | ||||
\(448\) | −10.5628 | − | 6.58713i | −0.499043 | − | 0.311213i | ||||
\(449\) | −6.47056 | + | 13.4363i | −0.305365 | + | 0.634096i | −0.996024 | − | 0.0890838i | \(-0.971606\pi\) |
0.690659 | + | 0.723180i | \(0.257320\pi\) | |||||||
\(450\) | −4.52830 | + | 8.46716i | −0.213466 | + | 0.399146i | ||||
\(451\) | 1.97654 | + | 0.148121i | 0.0930717 | + | 0.00697476i | ||||
\(452\) | 11.8498 | − | 4.65071i | 0.557369 | − | 0.218751i | ||||
\(453\) | 0.644866 | − | 1.06430i | 0.0302984 | − | 0.0500051i | ||||
\(454\) | −6.57808 | − | 5.24584i | −0.308725 | − | 0.246200i | ||||
\(455\) | −11.5803 | + | 43.8123i | −0.542891 | + | 2.05395i | ||||
\(456\) | 8.14914 | + | 1.40517i | 0.381618 | + | 0.0658030i | ||||
\(457\) | 23.6549 | + | 16.1276i | 1.10653 | + | 0.754419i | 0.971646 | − | 0.236442i | \(-0.0759814\pi\) |
0.134884 | + | 0.990861i | \(0.456934\pi\) | |||||||
\(458\) | 4.88752 | + | 4.53496i | 0.228379 | + | 0.211905i | ||||
\(459\) | −24.7116 | + | 2.13398i | −1.15344 | + | 0.0996056i | ||||
\(460\) | 19.8951 | − | 11.4865i | 0.927616 | − | 0.535559i | ||||
\(461\) | 2.62912 | − | 11.5189i | 0.122450 | − | 0.536490i | −0.876074 | − | 0.482177i | \(-0.839846\pi\) |
0.998524 | − | 0.0543125i | \(-0.0172967\pi\) | |||||||
\(462\) | 1.42156 | − | 0.469260i | 0.0661369 | − | 0.0218320i | ||||
\(463\) | −7.60979 | − | 33.3407i | −0.353657 | − | 1.54947i | −0.768663 | − | 0.639654i | \(-0.779078\pi\) |
0.415006 | − | 0.909819i | \(-0.363779\pi\) | |||||||
\(464\) | −0.161683 | − | 0.174253i | −0.00750594 | − | 0.00808947i | ||||
\(465\) | 24.8815 | + | 20.7183i | 1.15385 | + | 0.960786i | ||||
\(466\) | −4.84252 | + | 0.729892i | −0.224325 | + | 0.0338116i | ||||
\(467\) | 8.99594 | − | 8.34702i | 0.416283 | − | 0.386254i | −0.444037 | − | 0.896008i | \(-0.646454\pi\) |
0.860320 | + | 0.509754i | \(0.170264\pi\) | |||||||
\(468\) | −2.78949 | − | 25.8986i | −0.128944 | − | 1.19716i | ||||
\(469\) | 2.88249 | − | 15.5225i | 0.133101 | − | 0.716762i | ||||
\(470\) | −18.4086 | − | 4.20164i | −0.849124 | − | 0.193807i | ||||
\(471\) | 6.68389 | − | 20.1455i | 0.307977 | − | 0.928257i | ||||
\(472\) | −1.06999 | − | 0.617758i | −0.0492502 | − | 0.0284346i | ||||
\(473\) | 1.17428 | − | 1.26557i | 0.0539932 | − | 0.0581909i | ||||
\(474\) | 0.176733 | + | 1.36834i | 0.00811760 | + | 0.0628501i | ||||
\(475\) | −21.2259 | + | 16.9271i | −0.973912 | + | 0.776669i | ||||
\(476\) | −17.7990 | − | 15.2125i | −0.815817 | − | 0.697263i | ||||
\(477\) | 11.5157 | − | 11.4033i | 0.527268 | − | 0.522120i | ||||
\(478\) | 5.08587 | − | 1.56878i | 0.232622 | − | 0.0717544i | ||||
\(479\) | −1.23603 | − | 3.14936i | −0.0564758 | − | 0.143898i | 0.899851 | − | 0.436197i | \(-0.143675\pi\) |
−0.956327 | + | 0.292299i | \(0.905580\pi\) | |||||||
\(480\) | 20.8827 | − | 15.9426i | 0.953161 | − | 0.727679i | ||||
\(481\) | 12.7901 | + | 5.01973i | 0.583177 | + | 0.228880i | ||||
\(482\) | 5.25738 | + | 2.53182i | 0.239467 | + | 0.115321i | ||||
\(483\) | −10.3352 | + | 11.5871i | −0.470270 | + | 0.527229i | ||||
\(484\) | −17.1534 | + | 8.26063i | −0.779699 | + | 0.375483i | ||||
\(485\) | 14.7050 | − | 1.10199i | 0.667722 | − | 0.0500388i | ||||
\(486\) | 1.14519 | + | 5.84620i | 0.0519467 | + | 0.265189i | ||||
\(487\) | 20.5068 | − | 13.9813i | 0.929253 | − | 0.633554i | −0.00118623 | − | 0.999999i | \(-0.500378\pi\) |
0.930440 | + | 0.366445i | \(0.119425\pi\) | |||||||
\(488\) | 20.2215 | + | 3.04791i | 0.915386 | + | 0.137972i | ||||
\(489\) | −19.0325 | + | 16.9247i | −0.860679 | + | 0.765361i | ||||
\(490\) | 8.04593 | − | 5.56598i | 0.363478 | − | 0.251445i | ||||
\(491\) | 12.6538i | 0.571058i | 0.958370 | + | 0.285529i | \(0.0921692\pi\) | ||||
−0.958370 | + | 0.285529i | \(0.907831\pi\) | |||||||
\(492\) | −6.23938 | + | 4.06333i | −0.281293 | + | 0.183189i | ||||
\(493\) | −0.203238 | − | 0.298095i | −0.00915337 | − | 0.0134255i | ||||
\(494\) | −1.71013 | + | 5.54411i | −0.0769425 | + | 0.249441i | ||||
\(495\) | 0.396646 | − | 9.37022i | 0.0178279 | − | 0.421160i | ||||
\(496\) | −6.97493 | − | 14.4836i | −0.313184 | − | 0.650333i | ||||
\(497\) | 13.2371 | − | 8.38019i | 0.593764 | − | 0.375903i | ||||
\(498\) | 2.35390 | + | 8.24654i | 0.105481 | + | 0.369536i | ||||
\(499\) | 3.34430 | − | 8.52114i | 0.149711 | − | 0.381459i | −0.836269 | − | 0.548319i | \(-0.815268\pi\) |
0.985980 | + | 0.166861i | \(0.0533631\pi\) | |||||||
\(500\) | −1.71017 | + | 22.8206i | −0.0764811 | + | 1.02057i | ||||
\(501\) | −19.4678 | − | 9.88777i | −0.869755 | − | 0.441753i | ||||
\(502\) | 0.504954 | + | 1.63702i | 0.0225372 | + | 0.0730638i | ||||
\(503\) | 7.99019 | − | 10.0194i | 0.356265 | − | 0.446742i | −0.571111 | − | 0.820873i | \(-0.693487\pi\) |
0.927376 | + | 0.374131i | \(0.122059\pi\) | |||||||
\(504\) | −6.59995 | + | 9.64897i | −0.293985 | + | 0.429799i | ||||
\(505\) | 14.7694 | + | 18.5202i | 0.657229 | + | 0.824139i | ||||
\(506\) | 0.623503 | − | 0.914510i | 0.0277181 | − | 0.0406549i | ||||
\(507\) | 15.4711 | + | 0.327303i | 0.687096 | + | 0.0145361i | ||||
\(508\) | −4.15387 | + | 7.19471i | −0.184298 | + | 0.319214i | ||||
\(509\) | 4.08274 | + | 7.07152i | 0.180964 | + | 0.313440i | 0.942209 | − | 0.335025i | \(-0.108745\pi\) |
−0.761245 | + | 0.648465i | \(0.775411\pi\) | |||||||
\(510\) | 10.1273 | − | 5.56479i | 0.448446 | − | 0.246413i | ||||
\(511\) | 4.61404 | + | 8.65894i | 0.204113 | + | 0.383049i | ||||
\(512\) | −21.7493 | + | 4.96413i | −0.961190 | + | 0.219385i | ||||
\(513\) | −3.56162 | + | 16.4630i | −0.157249 | + | 0.726859i | ||||
\(514\) | −0.512412 | − | 3.39963i | −0.0226015 | − | 0.149951i | ||||
\(515\) | 0.854932 | + | 5.67211i | 0.0376728 | + | 0.249943i | ||||
\(516\) | −0.621343 | + | 6.45565i | −0.0273531 | + | 0.284194i | ||||
\(517\) | 11.2588 | − | 2.56974i | 0.495161 | − | 0.113017i | ||||
\(518\) | −1.39496 | − | 2.61784i | −0.0612909 | − | 0.115021i | ||||
\(519\) | −4.43599 | − | 8.07302i | −0.194718 | − | 0.354366i | ||||
\(520\) | 12.6135 | + | 21.8472i | 0.553137 | + | 0.958061i | ||||
\(521\) | 7.46140 | − | 12.9235i | 0.326890 | − | 0.566190i | −0.655003 | − | 0.755626i | \(-0.727333\pi\) |
0.981893 | + | 0.189436i | \(0.0606660\pi\) | |||||||
\(522\) | −0.0659574 | + | 0.0562001i | −0.00288687 | + | 0.00245981i | ||||
\(523\) | 4.57879 | − | 6.71584i | 0.200216 | − | 0.293663i | −0.712979 | − | 0.701185i | \(-0.752655\pi\) |
0.913195 | + | 0.407522i | \(0.133607\pi\) | |||||||
\(524\) | 16.9142 | + | 21.2097i | 0.738898 | + | 0.926549i | ||||
\(525\) | −9.27352 | − | 37.2426i | −0.404730 | − | 1.62540i | ||||
\(526\) | 0.572256 | − | 0.717586i | 0.0249515 | − | 0.0312882i | ||||
\(527\) | −7.19172 | − | 23.3150i | −0.313276 | − | 1.01562i | ||||
\(528\) | −2.10864 | + | 4.15165i | −0.0917669 | + | 0.180677i | ||||
\(529\) | 0.860901 | − | 11.4879i | 0.0374305 | − | 0.499475i | ||||
\(530\) | −2.75841 | + | 7.02832i | −0.119818 | + | 0.305291i | ||||
\(531\) | 1.34935 | − | 2.12428i | 0.0585570 | − | 0.0921860i | ||||
\(532\) | −13.4345 | + | 8.50515i | −0.582457 | + | 0.368745i | ||||
\(533\) | −4.71182 | − | 9.78420i | −0.204092 | − | 0.423801i | ||||
\(534\) | 6.60169 | − | 6.81978i | 0.285683 | − | 0.295121i | ||||
\(535\) | −14.3815 | + | 46.6236i | −0.621766 | + | 2.01572i | ||||
\(536\) | −4.95088 | − | 7.26161i | −0.213846 | − | 0.313654i | ||||
\(537\) | −24.8850 | − | 38.2117i | −1.07387 | − | 1.64896i | ||||
\(538\) | − | 4.27624i | − | 0.184362i | ||||||
\(539\) | −2.95659 | + | 5.20217i | −0.127349 | + | 0.224073i | ||||
\(540\) | 20.1754 | + | 28.8826i | 0.868213 | + | 1.24291i | ||||
\(541\) | 25.6593 | + | 3.86751i | 1.10318 | + | 0.166277i | 0.675288 | − | 0.737554i | \(-0.264019\pi\) |
0.427889 | + | 0.903831i | \(0.359257\pi\) | |||||||
\(542\) | 3.32940 | − | 2.26994i | 0.143010 | − | 0.0975024i | ||||
\(543\) | 14.3587 | + | 31.5038i | 0.616189 | + | 1.35196i | ||||
\(544\) | −19.7429 | + | 1.47952i | −0.846469 | + | 0.0634341i | ||||
\(545\) | −1.64943 | + | 0.794324i | −0.0706539 | + | 0.0340251i | ||||
\(546\) | −6.12087 | − | 5.45960i | −0.261949 | − | 0.233649i | ||||
\(547\) | 0.962110 | + | 0.463328i | 0.0411368 | + | 0.0198105i | 0.454339 | − | 0.890829i | \(-0.349875\pi\) |
−0.413202 | + | 0.910639i | \(0.635590\pi\) | |||||||
\(548\) | 28.2657 | + | 11.0935i | 1.20745 | + | 0.473890i | ||||
\(549\) | −7.94470 | + | 40.8897i | −0.339071 | + | 1.74513i | ||||
\(550\) | 0.999555 | + | 2.54682i | 0.0426212 | + | 0.108597i | ||||
\(551\) | −0.234121 | + | 0.0722169i | −0.00997391 | + | 0.00307654i | ||||
\(552\) | 0.463469 | + | 8.63092i | 0.0197266 | + | 0.367356i | ||||
\(553\) | −4.19224 | − | 3.58302i | −0.178272 | − | 0.152366i | ||||
\(554\) | 2.58298 | − | 2.05986i | 0.109740 | − | 0.0875150i | ||||
\(555\) | −18.4306 | + | 2.38046i | −0.782334 | + | 0.101045i | ||||
\(556\) | 1.21006 | − | 1.30413i | 0.0513178 | − | 0.0553074i | ||||
\(557\) | 24.1891 | + | 13.9656i | 1.02493 | + | 0.591742i | 0.915527 | − | 0.402256i | \(-0.131774\pi\) |
0.109399 | + | 0.993998i | \(0.465107\pi\) | |||||||
\(558\) | −5.38261 | + | 2.31705i | −0.227864 | + | 0.0980884i | ||||
\(559\) | −9.22183 | − | 2.10482i | −0.390042 | − | 0.0890245i | ||||
\(560\) | −5.55610 | + | 29.9201i | −0.234788 | + | 1.26436i | ||||
\(561\) | −4.10383 | + | 5.75385i | −0.173264 | + | 0.242928i | ||||
\(562\) | −8.28163 | + | 7.68423i | −0.349339 | + | 0.324140i | ||||
\(563\) | 36.7612 | − | 5.54085i | 1.54930 | − | 0.233519i | 0.682017 | − | 0.731337i | \(-0.261103\pi\) |
0.867282 | + | 0.497817i | \(0.165865\pi\) | |||||||
\(564\) | −27.7596 | + | 33.3378i | −1.16889 | + | 1.40377i | ||||
\(565\) | −17.0801 | − | 18.4080i | −0.718566 | − | 0.774430i | ||||
\(566\) | 1.52986 | + | 6.70275i | 0.0643047 | + | 0.281737i | ||||
\(567\) | −19.0678 | − | 14.2626i | −0.800770 | − | 0.598971i | ||||
\(568\) | 1.94068 | − | 8.50269i | 0.0814292 | − | 0.356765i | ||||
\(569\) | 1.57261 | − | 0.907949i | 0.0659274 | − | 0.0380632i | −0.466674 | − | 0.884429i | \(-0.654548\pi\) |
0.532601 | + | 0.846366i | \(0.321215\pi\) | |||||||
\(570\) | −1.58397 | − | 7.68572i | −0.0663452 | − | 0.321919i | ||||
\(571\) | 8.15572 | + | 7.56740i | 0.341306 | + | 0.316686i | 0.832138 | − | 0.554568i | \(-0.187117\pi\) |
−0.490832 | + | 0.871254i | \(0.663307\pi\) | |||||||
\(572\) | −6.13244 | − | 4.18103i | −0.256410 | − | 0.174818i | ||||
\(573\) | 3.99931 | − | 23.1936i | 0.167074 | − | 0.968928i | ||||
\(574\) | −0.599113 | + | 2.26666i | −0.0250065 | + | 0.0946085i | ||||
\(575\) | −22.1858 | − | 17.6926i | −0.925211 | − | 0.737831i | ||||
\(576\) | −2.55610 | − | 13.8818i | −0.106504 | − | 0.578407i | ||||
\(577\) | −32.6975 | + | 12.8328i | −1.36122 | + | 0.534238i | −0.929850 | − | 0.367939i | \(-0.880063\pi\) |
−0.431366 | + | 0.902177i | \(0.641968\pi\) | |||||||
\(578\) | −2.20491 | − | 0.165235i | −0.0917121 | − | 0.00687287i | ||||
\(579\) | −11.5349 | − | 31.3228i | −0.479373 | − | 1.30173i | ||||
\(580\) | −0.222351 | + | 0.461717i | −0.00923263 | + | 0.0191717i | ||||
\(581\) | −29.0862 | − | 18.1387i | −1.20670 | − | 0.752519i | ||||
\(582\) | −1.02741 | + | 2.46328i | −0.0425874 | + | 0.102106i | ||||
\(583\) | −0.345086 | − | 4.60486i | −0.0142920 | − | 0.190714i | ||||
\(584\) | 5.21923 | + | 1.60992i | 0.215973 | + | 0.0666189i | ||||
\(585\) | −45.5471 | + | 23.7872i | −1.88314 | + | 0.983481i | ||||
\(586\) | 1.54400 | − | 10.2438i | 0.0637819 | − | 0.423166i | ||||
\(587\) | −22.3257 | −0.921481 | −0.460741 | − | 0.887535i | \(-0.652416\pi\) | ||||
−0.460741 | + | 0.887535i | \(0.652416\pi\) | |||||||
\(588\) | −3.03052 | − | 22.2728i | −0.124977 | − | 0.918513i | ||||
\(589\) | −16.5691 | −0.682719 | ||||||||
\(590\) | −0.174743 | + | 1.15935i | −0.00719407 | + | 0.0477295i | ||||
\(591\) | −19.9956 | − | 5.01107i | −0.822507 | − | 0.206128i | ||||
\(592\) | 8.81681 | + | 2.71963i | 0.362369 | + | 0.111776i | ||||
\(593\) | −1.27689 | − | 17.0389i | −0.0524355 | − | 0.699703i | −0.960037 | − | 0.279871i | \(-0.909708\pi\) |
0.907602 | − | 0.419832i | \(-0.137911\pi\) | |||||||
\(594\) | 1.47957 | + | 0.831997i | 0.0607073 | + | 0.0341373i | ||||
\(595\) | −15.1069 | + | 43.6477i | −0.619324 | + | 1.78938i | ||||
\(596\) | −7.26791 | + | 15.0920i | −0.297705 | + | 0.618192i | ||||
\(597\) | −11.7891 | + | 4.34141i | −0.482494 | + | 0.177682i | ||||
\(598\) | −6.04729 | − | 0.453182i | −0.247292 | − | 0.0185320i | ||||
\(599\) | 16.5673 | − | 6.50218i | 0.676921 | − | 0.265672i | −0.00187569 | − | 0.999998i | \(-0.500597\pi\) |
0.678797 | + | 0.734326i | \(0.262502\pi\) | |||||||
\(600\) | −18.2727 | − | 11.0716i | −0.745981 | − | 0.451995i | ||||
\(601\) | 27.3440 | + | 21.8061i | 1.11539 | + | 0.889491i | 0.994661 | − | 0.103195i | \(-0.0329066\pi\) |
0.120725 | + | 0.992686i | \(0.461478\pi\) | |||||||
\(602\) | 1.21821 | + | 1.63895i | 0.0496507 | + | 0.0667987i | ||||
\(603\) | 15.2044 | − | 9.44983i | 0.619170 | − | 0.384827i | ||||
\(604\) | 1.10055 | + | 0.750344i | 0.0447809 | + | 0.0305311i | ||||
\(605\) | 27.5312 | + | 25.5452i | 1.11930 | + | 1.03856i | ||||
\(606\) | −4.19912 | + | 0.865408i | −0.170578 | + | 0.0351548i | ||||
\(607\) | −7.05725 | + | 4.07450i | −0.286445 | + | 0.165379i | −0.636337 | − | 0.771411i | \(-0.719551\pi\) |
0.349893 | + | 0.936790i | \(0.386218\pi\) | |||||||
\(608\) | −2.99175 | + | 13.1077i | −0.121332 | + | 0.531588i | ||||
\(609\) | 0.0448860 | − | 0.343439i | 0.00181887 | − | 0.0139168i | ||||
\(610\) | −4.31824 | − | 18.9194i | −0.174840 | − | 0.766025i | ||||
\(611\) | −43.0360 | − | 46.3817i | −1.74105 | − | 1.87640i | ||||
\(612\) | −0.862553 | − | 26.5352i | −0.0348667 | − | 1.07262i | ||||
\(613\) | −10.3326 | + | 1.55739i | −0.417329 | + | 0.0629023i | −0.354351 | − | 0.935113i | \(-0.615298\pi\) |
−0.0629787 | + | 0.998015i | \(0.520060\pi\) | |||||||
\(614\) | −3.11392 | + | 2.88929i | −0.125668 | + | 0.116602i | ||||
\(615\) | 11.9581 | + | 8.52891i | 0.482198 | + | 0.343919i | ||||
\(616\) | 0.873030 | + | 3.21452i | 0.0351754 | + | 0.129517i | ||||
\(617\) | 7.04701 | + | 1.60843i | 0.283702 | + | 0.0647531i | 0.362004 | − | 0.932177i | \(-0.382093\pi\) |
−0.0783021 | + | 0.996930i | \(0.524950\pi\) | |||||||
\(618\) | −0.985380 | − | 0.326929i | −0.0396378 | − | 0.0131510i | ||||
\(619\) | 13.0669 | + | 7.54418i | 0.525203 | + | 0.303226i | 0.739061 | − | 0.673638i | \(-0.235269\pi\) |
−0.213858 | + | 0.976865i | \(0.568603\pi\) | |||||||
\(620\) | −23.5726 | + | 25.4052i | −0.946698 | + | 1.02030i | ||||
\(621\) | −17.6044 | + | 0.199677i | −0.706442 | + | 0.00801278i | ||||
\(622\) | 3.19396 | − | 2.54709i | 0.128066 | − | 0.102129i | ||||
\(623\) | −1.28992 | + | 37.9169i | −0.0516797 | + | 1.51911i | ||||
\(624\) | 25.4756 | − | 1.36800i | 1.01984 | − | 0.0547640i | ||||
\(625\) | 3.12241 | − | 0.963135i | 0.124896 | − | 0.0385254i | ||||
\(626\) | −4.46076 | − | 11.3658i | −0.178288 | − | 0.454269i | ||||
\(627\) | 2.91235 | + | 3.81479i | 0.116308 | + | 0.152348i | ||||
\(628\) | 21.1487 | + | 8.30027i | 0.843926 | + | 0.331217i | ||||
\(629\) | 12.6172 | + | 6.07611i | 0.503080 | + | 0.242271i | ||||
\(630\) | 10.8116 | + | 2.48488i | 0.430743 | + | 0.0989999i | ||||
\(631\) | 21.3963 | − | 10.3039i | 0.851774 | − | 0.410193i | 0.0435385 | − | 0.999052i | \(-0.486137\pi\) |
0.808236 | + | 0.588859i | \(0.200423\pi\) | |||||||
\(632\) | −3.06138 | + | 0.229419i | −0.121775 | + | 0.00912579i | ||||
\(633\) | 19.8350 | − | 9.04029i | 0.788370 | − | 0.359319i | ||||
\(634\) | 2.03347 | − | 1.38640i | 0.0807596 | − | 0.0550609i | ||||
\(635\) | 16.2052 | + | 2.44255i | 0.643086 | + | 0.0969295i | ||||
\(636\) | 11.5273 | + | 12.9629i | 0.457089 | + | 0.514014i | ||||
\(637\) | 32.7831 | − | 0.222488i | 1.29891 | − | 0.00881529i | ||||
\(638\) | 0.0246906i | 0.000977512i | ||||||||
\(639\) | 17.1364 | + | 4.68189i | 0.677904 | + | 0.185213i | ||||
\(640\) | 20.7939 | + | 30.4990i | 0.821951 | + | 1.20558i | ||||
\(641\) | −4.49233 | + | 14.5638i | −0.177436 | + | 0.575235i | 0.822542 | + | 0.568704i | \(0.192555\pi\) |
−0.999979 | + | 0.00653064i | \(0.997921\pi\) | |||||||
\(642\) | −6.34495 | − | 6.14205i | −0.250415 | − | 0.242407i | ||||
\(643\) | 11.8390 | + | 24.5839i | 0.466883 | + | 0.969493i | 0.992893 | + | 0.119014i | \(0.0379735\pi\) |
−0.526009 | + | 0.850479i | \(0.676312\pi\) | |||||||
\(644\) | −11.7915 | − | 11.7118i | −0.464651 | − | 0.461508i | ||||
\(645\) | 12.3023 | − | 3.51156i | 0.484401 | − | 0.138268i | ||||
\(646\) | −2.16041 | + | 5.50464i | −0.0850003 | + | 0.216577i | ||||
\(647\) | 2.71985 | − | 36.2938i | 0.106928 | − | 1.42686i | −0.643267 | − | 0.765642i | \(-0.722422\pi\) |
0.750196 | − | 0.661216i | \(-0.229959\pi\) | |||||||
\(648\) | −13.1262 | + | 1.84694i | −0.515645 | + | 0.0725548i | ||||
\(649\) | −0.211361 | − | 0.685214i | −0.00829663 | − | 0.0268970i | ||||
\(650\) | 9.34612 | − | 11.7197i | 0.366585 | − | 0.459683i | ||||
\(651\) | 9.74660 | − | 21.2993i | 0.381999 | − | 0.834783i | ||||
\(652\) | −16.9974 | − | 21.3141i | −0.665670 | − | 0.834724i | ||||
\(653\) | −23.5301 | + | 34.5124i | −0.920805 | + | 1.35057i | 0.0156843 | + | 0.999877i | \(0.495007\pi\) |
−0.936489 | + | 0.350696i | \(0.885945\pi\) | |||||||
\(654\) | 0.00700832 | − | 0.331272i | 0.000274047 | − | 0.0129538i | ||||
\(655\) | 26.7573 | − | 46.3450i | 1.04549 | − | 1.81085i | ||||
\(656\) | −3.64629 | − | 6.31556i | −0.142364 | − | 0.246581i | ||||
\(657\) | −3.72591 | + | 10.4828i | −0.145361 | + | 0.408973i | ||||
\(658\) | 0.557076 | + | 13.6485i | 0.0217171 | + | 0.532075i | ||||
\(659\) | 15.6911 | − | 3.58140i | 0.611240 | − | 0.139512i | 0.0943152 | − | 0.995542i | \(-0.469934\pi\) |
0.516925 | + | 0.856031i | \(0.327077\pi\) | |||||||
\(660\) | 9.99250 | + | 0.961759i | 0.388958 | + | 0.0374364i | ||||
\(661\) | −3.84161 | − | 25.4874i | −0.149421 | − | 0.991345i | −0.930336 | − | 0.366708i | \(-0.880485\pi\) |
0.780915 | − | 0.624637i | \(-0.214753\pi\) | |||||||
\(662\) | −0.561214 | − | 3.72341i | −0.0218122 | − | 0.144714i | ||||
\(663\) | 38.5435 | + | 3.70974i | 1.49691 | + | 0.144074i | ||||
\(664\) | −18.6037 | + | 4.24617i | −0.721963 | + | 0.164783i | ||||
\(665\) | 25.3000 | + | 18.5400i | 0.981093 | + | 0.718950i | ||||
\(666\) | 1.12645 | − | 3.16925i | 0.0436490 | − | 0.122806i | ||||
\(667\) | −0.128043 | − | 0.221777i | −0.00495785 | − | 0.00858724i | ||||
\(668\) | 11.6858 | − | 20.2404i | 0.452137 | − | 0.783125i | ||||
\(669\) | −0.750522 | + | 35.4760i | −0.0290169 | + | 1.37158i | ||||
\(670\) | −4.69814 | + | 6.89091i | −0.181505 | + | 0.266219i | ||||
\(671\) | 7.40007 | + | 9.27940i | 0.285677 | + | 0.358227i | ||||
\(672\) | −15.0898 | − | 11.5563i | −0.582103 | − | 0.445794i | ||||
\(673\) | −3.54280 | + | 4.44252i | −0.136565 | + | 0.171247i | −0.845411 | − | 0.534116i | \(-0.820645\pi\) |
0.708846 | + | 0.705363i | \(0.249216\pi\) | |||||||
\(674\) | −0.803939 | − | 2.60631i | −0.0309666 | − | 0.100391i | ||||
\(675\) | 24.1055 | − | 36.2325i | 0.927822 | − | 1.39459i | ||||
\(676\) | −1.23780 | + | 16.5174i | −0.0476079 | + | 0.635283i | ||||
\(677\) | −7.63686 | + | 19.4584i | −0.293509 | + | 0.747848i | 0.705717 | + | 0.708494i | \(0.250625\pi\) |
−0.999225 | + | 0.0393536i | \(0.987470\pi\) | |||||||
\(678\) | 4.37040 | − | 1.24749i | 0.167844 | − | 0.0479096i | ||||
\(679\) | −3.55756 | − | 10.0573i | −0.136526 | − | 0.385964i | ||||
\(680\) | 11.1560 | + | 23.1656i | 0.427813 | + | 0.888362i | ||||
\(681\) | 27.3985 | + | 26.5224i | 1.04991 | + | 1.01634i | ||||
\(682\) | −0.492171 | + | 1.59558i | −0.0188462 | + | 0.0610979i | ||||
\(683\) | −21.8817 | − | 32.0945i | −0.837279 | − | 1.22806i | −0.971483 | − | 0.237110i | \(-0.923800\pi\) |
0.134204 | − | 0.990954i | \(-0.457152\pi\) | |||||||
\(684\) | −17.3919 | − | 4.75170i | −0.664996 | − | 0.181686i | ||||
\(685\) | − | 59.8991i | − | 2.28863i | ||||||
\(686\) | −5.41144 | − | 4.56186i | −0.206610 | − | 0.174173i | ||||
\(687\) | −20.0804 | − | 22.5812i | −0.766116 | − | 0.861528i | ||||
\(688\) | −6.28105 | − | 0.946715i | −0.239463 | − | 0.0360932i | ||||
\(689\) | −20.9041 | + | 14.2522i | −0.796383 | + | 0.542964i | ||||
\(690\) | 7.46346 | − | 3.40166i | 0.284129 | − | 0.129499i | ||||
\(691\) | −20.5986 | + | 1.54365i | −0.783608 | + | 0.0587233i | −0.460524 | − | 0.887647i | \(-0.652339\pi\) |
−0.323084 | + | 0.946370i | \(0.604720\pi\) | |||||||
\(692\) | 8.88338 | − | 4.27801i | 0.337695 | − | 0.162625i | ||||
\(693\) | −6.61698 | + | 1.49976i | −0.251358 | + | 0.0569712i | ||||
\(694\) | 3.36635 | + | 1.62115i | 0.127785 | + | 0.0615380i | ||||
\(695\) | −3.26684 | − | 1.28214i | −0.123918 | − | 0.0486344i | ||||
\(696\) | −0.117000 | − | 0.153255i | −0.00443489 | − | 0.00580910i | ||||
\(697\) | −4.04375 | − | 10.3033i | −0.153168 | − | 0.390266i | ||||
\(698\) | 6.29042 | − | 1.94034i | 0.238096 | − | 0.0734429i | ||||
\(699\) | 22.1635 | − | 1.19015i | 0.838299 | − | 0.0450156i | ||||
\(700\) | 40.3387 | − | 7.77436i | 1.52466 | − | 0.293843i | ||||
\(701\) | −25.5596 | + | 20.3831i | −0.965374 | + | 0.769860i | −0.973165 | − | 0.230109i | \(-0.926092\pi\) |
0.00779042 | + | 0.999970i | \(0.497520\pi\) | |||||||
\(702\) | −0.105480 | − | 9.29956i | −0.00398108 | − | 0.350989i | ||||
\(703\) | 6.46845 | − | 6.97133i | 0.243962 | − | 0.262929i | ||||
\(704\) | −3.48307 | − | 2.01095i | −0.131273 | − | 0.0757906i | ||||
\(705\) | 81.2240 | + | 26.9485i | 3.05907 | + | 1.01494i | ||||
\(706\) | 3.37157 | + | 0.769539i | 0.126891 | + | 0.0289620i | ||||
\(707\) | 10.1294 | − | 13.8228i | 0.380955 | − | 0.519859i | ||||
\(708\) | 2.19307 | + | 1.56417i | 0.0824206 | + | 0.0587850i | ||||
\(709\) | −15.3565 | + | 14.2488i | −0.576726 | + | 0.535123i | −0.913699 | − | 0.406391i | \(-0.866787\pi\) |
0.336974 | + | 0.941514i | \(0.390597\pi\) | |||||||
\(710\) | −8.18368 | + | 1.23349i | −0.307128 | + | 0.0462921i | ||||
\(711\) | −0.203159 | − | 6.24988i | −0.00761905 | − | 0.234389i | ||||
\(712\) | 14.3651 | + | 15.4819i | 0.538353 | + | 0.580207i | ||||
\(713\) | −3.85371 | − | 16.8842i | −0.144323 | − | 0.632318i | ||||
\(714\) | −5.80526 | − | 6.01521i | −0.217256 | − | 0.225114i | ||||
\(715\) | −3.25799 | + | 14.2742i | −0.121842 | + | 0.533824i | ||||
\(716\) | 42.2705 | − | 24.4049i | 1.57972 | − | 0.912053i | ||||
\(717\) | −23.6256 | + | 4.86905i | −0.882313 | + | 0.181838i | ||||
\(718\) | −3.06919 | − | 2.84779i | −0.114541 | − | 0.106279i | ||||
\(719\) | 7.36510 | + | 5.02144i | 0.274672 | + | 0.187268i | 0.692820 | − | 0.721111i | \(-0.256368\pi\) |
−0.418148 | + | 0.908379i | \(0.637321\pi\) | |||||||
\(720\) | −29.3070 | + | 18.2149i | −1.09221 | + | 0.678829i | ||||
\(721\) | 3.79785 | − | 1.67235i | 0.141439 | − | 0.0622815i | ||||
\(722\) | −2.53729 | − | 2.02342i | −0.0944283 | − | 0.0753041i | ||||
\(723\) | −22.6188 | − | 13.7049i | −0.841202 | − | 0.509690i | ||||
\(724\) | −34.4967 | + | 13.5389i | −1.28206 | + | 0.503171i | ||||
\(725\) | 0.631241 | + | 0.0473050i | 0.0234437 | + | 0.00175686i | ||||
\(726\) | −6.37872 | + | 2.34901i | −0.236736 | + | 0.0871800i | ||||
\(727\) | −7.63171 | + | 15.8474i | −0.283044 | + | 0.587748i | −0.993216 | − | 0.116280i | \(-0.962903\pi\) |
0.710172 | + | 0.704028i | \(0.248617\pi\) | |||||||
\(728\) | 12.8609 | − | 12.9484i | 0.476655 | − | 0.479901i | ||||
\(729\) | −2.62789 | − | 26.8718i | −0.0973294 | − | 0.995252i | ||||
\(730\) | −0.387330 | − | 5.16856i | −0.0143357 | − | 0.191297i | ||||
\(731\) | −9.21252 | − | 2.84169i | −0.340737 | − | 0.105104i | ||||
\(732\) | −43.2485 | − | 10.8385i | −1.59851 | − | 0.400602i | ||||
\(733\) | −6.93618 | + | 46.0186i | −0.256194 | + | 1.69973i | 0.377385 | + | 0.926057i | \(0.376823\pi\) |
−0.633579 | + | 0.773678i | \(0.718415\pi\) | |||||||
\(734\) | −1.97681 | −0.0729652 | ||||||||
\(735\) | −38.7152 | + | 21.6167i | −1.42803 | + | 0.797344i | ||||
\(736\) | −14.0528 | −0.517993 | ||||||||
\(737\) | 0.760241 | − | 5.04387i | 0.0280038 | − | 0.185793i | ||||
\(738\) | −2.35641 | + | 1.23065i | −0.0867406 | + | 0.0453008i | ||||
\(739\) | 15.9824 | + | 4.92991i | 0.587921 | + | 0.181350i | 0.574422 | − | 0.818559i | \(-0.305227\pi\) |
0.0134989 | + | 0.999909i | \(0.495703\pi\) | |||||||
\(740\) | −1.48650 | − | 19.8360i | −0.0546448 | − | 0.729184i | ||||
\(741\) | 10.1224 | − | 24.2691i | 0.371856 | − | 0.891549i | ||||
\(742\) | 5.42981 | + | 0.593141i | 0.199335 | + | 0.0217749i | ||||
\(743\) | 16.7772 | − | 34.8382i | 0.615495 | − | 1.27809i | −0.327364 | − | 0.944898i | \(-0.606160\pi\) |
0.942859 | − | 0.333191i | \(-0.108125\pi\) | |||||||
\(744\) | −4.50599 | − | 12.2360i | −0.165198 | − | 0.448592i | ||||
\(745\) | 32.9512 | + | 2.46935i | 1.20724 | + | 0.0904700i | ||||
\(746\) | 7.28775 | − | 2.86023i | 0.266823 | − | 0.104720i | ||||
\(747\) | −7.03862 | − | 38.2255i | −0.257530 | − | 1.39860i | ||||
\(748\) | −5.91441 | − | 4.71658i | −0.216252 | − | 0.172455i | ||||
\(749\) | 35.2769 | + | 1.20011i | 1.28899 | + | 0.0438511i | ||||
\(750\) | −1.38837 | + | 8.05175i | −0.0506962 | + | 0.294008i | ||||
\(751\) | 5.64171 | + | 3.84645i | 0.205869 | + | 0.140359i | 0.661866 | − | 0.749622i | \(-0.269765\pi\) |
−0.455997 | + | 0.889981i | \(0.650717\pi\) | |||||||
\(752\) | −31.1467 | − | 28.9000i | −1.13580 | − | 1.05387i | ||||
\(753\) | −1.56723 | − | 7.60452i | −0.0571132 | − | 0.277124i | ||||
\(754\) | 0.117154 | − | 0.0676388i | 0.00426649 | − | 0.00246326i | ||||
\(755\) | 0.584692 | − | 2.56170i | 0.0212791 | − | 0.0932299i | ||||
\(756\) | 16.3388 | − | 19.5618i | 0.594236 | − | 0.711455i | ||||
\(757\) | 10.6995 | + | 46.8777i | 0.388881 | + | 1.70380i | 0.668519 | + | 0.743695i | \(0.266929\pi\) |
−0.279638 | + | 0.960106i | \(0.590214\pi\) | |||||||
\(758\) | 1.64263 | + | 1.77033i | 0.0596629 | + | 0.0643014i | ||||
\(759\) | −3.20996 | + | 3.85499i | −0.116514 | + | 0.139927i | ||||
\(760\) | 17.2657 | − | 2.60239i | 0.626294 | − | 0.0943986i | ||||
\(761\) | −30.7147 | + | 28.4991i | −1.11341 | + | 1.03309i | −0.114193 | + | 0.993459i | \(0.536428\pi\) |
−0.999214 | + | 0.0396325i | \(0.987381\pi\) | |||||||
\(762\) | −1.72235 | + | 2.41485i | −0.0623941 | + | 0.0874808i | ||||
\(763\) | 0.867300 | + | 1.00093i | 0.0313984 | + | 0.0362361i | ||||
\(764\) | 24.5607 | + | 5.60583i | 0.888577 | + | 0.202812i | ||||
\(765\) | −48.1047 | + | 20.7076i | −1.73923 | + | 0.748684i | ||||
\(766\) | −2.50724 | − | 1.44755i | −0.0905902 | − | 0.0523023i | ||||
\(767\) | −2.67224 | + | 2.87999i | −0.0964890 | + | 0.103990i | ||||
\(768\) | 9.53857 | − | 1.23198i | 0.344193 | − | 0.0444554i | ||||
\(769\) | −5.82508 | + | 4.64535i | −0.210058 | + | 0.167515i | −0.722867 | − | 0.690987i | \(-0.757176\pi\) |
0.512809 | + | 0.858502i | \(0.328605\pi\) | |||||||
\(770\) | 2.53688 | − | 1.88564i | 0.0914230 | − | 0.0679536i | ||||
\(771\) | 0.835530 | + | 15.5596i | 0.0300909 | + | 0.560365i | ||||
\(772\) | 34.1412 | − | 10.5312i | 1.22877 | − | 0.379025i | ||||
\(773\) | −7.93586 | − | 20.2203i | −0.285433 | − | 0.727272i | −0.999627 | − | 0.0273236i | \(-0.991302\pi\) |
0.714193 | − | 0.699948i | \(-0.246794\pi\) | |||||||
\(774\) | −0.441640 | + | 2.27303i | −0.0158744 | + | 0.0817023i | ||||
\(775\) | 39.8496 | + | 15.6398i | 1.43144 | + | 0.561799i | ||||
\(776\) | −5.35052 | − | 2.57668i | −0.192073 | − | 0.0924972i | ||||
\(777\) | 5.15650 | + | 12.4159i | 0.184988 | + | 0.445416i | ||||
\(778\) | −1.82608 | + | 0.879393i | −0.0654681 | + | 0.0315278i | ||||
\(779\) | −7.49545 | + | 0.561707i | −0.268552 | + | 0.0201252i | ||||
\(780\) | −22.8106 | − | 50.0478i | −0.816749 | − | 1.79200i | ||||
\(781\) | 4.18219 | − | 2.85137i | 0.149650 | − | 0.102030i | ||||
\(782\) | −6.11180 | − | 0.921205i | −0.218557 | − | 0.0329422i | ||||
\(783\) | 0.321963 | − | 0.224902i | 0.0115060 | − | 0.00803733i | ||||
\(784\) | 21.9421 | − | 1.79416i | 0.783646 | − | 0.0640771i | ||||
\(785\) | − | 44.8172i | − | 1.59959i | ||||||
\(786\) | 5.28565 | + | 8.11629i | 0.188533 | + | 0.289499i | ||||
\(787\) | 12.9559 | + | 19.0029i | 0.461830 | + | 0.677379i | 0.984546 | − | 0.175127i | \(-0.0560337\pi\) |
−0.522716 | + | 0.852507i | \(0.675081\pi\) | |||||||
\(788\) | 6.50369 | − | 21.0844i | 0.231684 | − | 0.751102i | ||||
\(789\) | −2.89326 | + | 2.98884i | −0.103003 | + | 0.106405i | ||||
\(790\) | 1.26401 | + | 2.62474i | 0.0449714 | + | 0.0933841i | ||||
\(791\) | −9.61291 | + | 15.4147i | −0.341796 | + | 0.548085i | ||||
\(792\) | −2.02513 | + | 3.18815i | −0.0719598 | + | 0.113286i | ||||
\(793\) | 23.7574 | − | 60.5328i | 0.843650 | − | 2.14958i | ||||
\(794\) | −0.589590 | + | 7.86754i | −0.0209238 | + | 0.279208i | ||||
\(795\) | 15.4961 | − | 30.5098i | 0.549590 | − | 1.08207i | ||||
\(796\) | −3.96364 | − | 12.8498i | −0.140487 | − | 0.455449i | ||||
\(797\) | −21.4665 | + | 26.9181i | −0.760382 | + | 0.953489i | −0.999848 | − | 0.0174156i | \(-0.994456\pi\) |
0.239466 | + | 0.970905i | \(0.423028\pi\) | |||||||
\(798\) | −5.06541 | + | 2.56312i | −0.179314 | + | 0.0907334i | ||||
\(799\) | −40.2080 | − | 50.4192i | −1.42246 | − | 1.78370i | ||||
\(800\) | 19.5679 | − | 28.7008i | 0.691829 | − | 1.01473i | ||||
\(801\) | −32.7441 | + | 27.9002i | −1.15696 | + | 0.985805i | ||||
\(802\) | −1.16598 | + | 2.01953i | −0.0411721 | + | 0.0713122i | ||||
\(803\) | 1.58499 | + | 2.74528i | 0.0559331 | + | 0.0968790i | ||||
\(804\) | 9.22770 | + | 16.7934i | 0.325436 | + | 0.592258i | ||||
\(805\) | −13.0082 | + | 30.0932i | −0.458478 | + | 1.06065i | ||||
\(806\) | 8.91909 | − | 2.03572i | 0.314162 | − | 0.0717053i | ||||
\(807\) | −1.85680 | + | 19.2918i | −0.0653624 | + | 0.679104i | ||||
\(808\) | −1.42183 | − | 9.43320i | −0.0500197 | − | 0.331859i | ||||
\(809\) | −4.88675 | − | 32.4215i | −0.171809 | − | 1.13988i | −0.893961 | − | 0.448144i | \(-0.852085\pi\) |
0.722152 | − | 0.691734i | \(-0.243153\pi\) | |||||||
\(810\) | 6.18222 | + | 10.9547i | 0.217221 | + | 0.384910i | ||||
\(811\) | −22.7150 | + | 5.18456i | −0.797633 | + | 0.182055i | −0.601867 | − | 0.798596i | \(-0.705576\pi\) |
−0.195766 | + | 0.980651i | \(0.562719\pi\) | |||||||
\(812\) | 0.364505 | + | 0.0676877i | 0.0127916 | + | 0.00237537i | ||||
\(813\) | −16.0059 | + | 8.79496i | −0.561351 | + | 0.308453i | ||||
\(814\) | −0.479188 | − | 0.829978i | −0.0167955 | − | 0.0290907i | ||||
\(815\) | −26.8890 | + | 46.5731i | −0.941880 | + | 1.63138i | ||||
\(816\) | 25.9969 | + | 0.549985i | 0.910074 | + | 0.0192533i | ||||
\(817\) | −3.68806 | + | 5.40939i | −0.129029 | + | 0.189251i | ||||
\(818\) | −2.95525 | − | 3.70577i | −0.103328 | − | 0.129569i | ||||
\(819\) | 25.2431 | + | 27.2882i | 0.882064 | + | 0.953527i | ||||
\(820\) | −9.80239 | + | 12.2918i | −0.342314 | + | 0.429248i | ||||
\(821\) | 10.8151 | + | 35.0616i | 0.377448 | + | 1.22366i | 0.922744 | + | 0.385414i | \(0.125941\pi\) |
−0.545295 | + | 0.838244i | \(0.683583\pi\) | |||||||
\(822\) | 9.66594 | + | 4.90938i | 0.337138 | + | 0.171234i | ||||
\(823\) | 1.89206 | − | 25.2478i | 0.0659530 | − | 0.880082i | −0.861886 | − | 0.507102i | \(-0.830717\pi\) |
0.927839 | − | 0.372980i | \(-0.121664\pi\) | |||||||
\(824\) | 0.843965 | − | 2.15039i | 0.0294009 | − | 0.0749123i | ||||
\(825\) | −3.40353 | − | 11.9238i | −0.118496 | − | 0.415132i | ||||
\(826\) | 0.842525 | − | 0.0978261i | 0.0293152 | − | 0.00340381i | ||||
\(827\) | 14.3696 | + | 29.8389i | 0.499681 | + | 1.03760i | 0.986449 | + | 0.164067i | \(0.0524615\pi\) |
−0.486768 | + | 0.873531i | \(0.661824\pi\) | |||||||
\(828\) | 0.796990 | − | 18.8278i | 0.0276973 | − | 0.654311i | ||||
\(829\) | −7.37713 | + | 23.9161i | −0.256218 | + | 0.830639i | 0.732489 | + | 0.680779i | \(0.238359\pi\) |
−0.988707 | + | 0.149860i | \(0.952118\pi\) | |||||||
\(830\) | 10.2006 | + | 14.9615i | 0.354067 | + | 0.519321i | ||||
\(831\) | −12.5473 | + | 8.17128i | −0.435260 | + | 0.283459i | ||||
\(832\) | 22.0356i | 0.763947i | ||||||||
\(833\) | 33.3368 | + | 2.27085i | 1.15505 | + | 0.0786803i | ||||
\(834\) | 0.474652 | − | 0.422086i | 0.0164359 | − | 0.0146156i | ||||
\(835\) | −45.5891 | − | 6.87146i | −1.57768 | − | 0.237797i | ||||
\(836\) | −4.24455 | + | 2.89389i | −0.146801 | + | 0.100087i | ||||
\(837\) | 25.2892 | − | 8.11593i | 0.874123 | − | 0.280527i | ||||
\(838\) | 7.29996 | − | 0.547057i | 0.252173 | − | 0.0188978i | ||||
\(839\) | −21.3169 | + | 10.2657i | −0.735941 | + | 0.354410i | −0.764018 | − | 0.645195i | \(-0.776776\pi\) |
0.0280770 | + | 0.999606i | \(0.491062\pi\) | |||||||
\(840\) | −6.81105 | + | 23.7255i | −0.235003 | + | 0.818609i | ||||
\(841\) | −26.1230 | − | 12.5801i | −0.900791 | − | 0.433798i | ||||
\(842\) | 1.15882 | + | 0.454803i | 0.0399355 | + | 0.0156735i | ||||
\(843\) | 40.6983 | − | 31.0706i | 1.40173 | − | 1.07013i | ||||
\(844\) | 8.52419 | + | 21.7193i | 0.293415 | + | 0.747609i | ||||
\(845\) | 31.2228 | − | 9.63095i | 1.07410 | − | 0.331315i | ||||
\(846\) | −11.0059 | + | 10.8984i | −0.378389 | + | 0.374695i | ||||
\(847\) | 12.6141 | − | 24.0644i | 0.433426 | − | 0.826862i | ||||
\(848\) | −13.2833 | + | 10.5930i | −0.456149 | + | 0.363766i | ||||
\(849\) | −3.99138 | − | 30.9030i | −0.136984 | − | 1.06059i | ||||
\(850\) | 10.3918 | − | 11.1997i | 0.356436 | − | 0.384147i | ||||
\(851\) | 8.60835 | + | 4.97003i | 0.295090 | + | 0.170371i | ||||
\(852\) | −5.98774 | + | 18.0473i | −0.205137 | + | 0.618291i | ||||
\(853\) | 5.62617 | + | 1.28414i | 0.192636 | + | 0.0439680i | 0.317751 | − | 0.948174i | \(-0.397073\pi\) |
−0.125114 | + | 0.992142i | \(0.539930\pi\) | |||||||
\(854\) | −12.3897 | + | 6.60205i | −0.423968 | + | 0.225917i | ||||
\(855\) | 3.80868 | + | 35.3611i | 0.130254 | + | 1.20932i | ||||
\(856\) | 14.4039 | − | 13.3649i | 0.492316 | − | 0.456803i | ||||
\(857\) | 12.6731 | − | 1.91016i | 0.432904 | − | 0.0652498i | 0.0710244 | − | 0.997475i | \(-0.477373\pi\) |
0.361880 | + | 0.932225i | \(0.382135\pi\) | |||||||
\(858\) | −2.03640 | − | 1.69566i | −0.0695216 | − | 0.0578890i | ||||
\(859\) | −29.2214 | − | 31.4931i | −0.997020 | − | 1.07453i | −0.997219 | − | 0.0745321i | \(-0.976254\pi\) |
0.000198581 | − | 1.00000i | \(-0.499937\pi\) | |||||||
\(860\) | 3.04721 | + | 13.3507i | 0.103909 | + | 0.455255i | ||||
\(861\) | 3.68705 | − | 9.96566i | 0.125654 | − | 0.339629i | ||||
\(862\) | −1.51452 | + | 6.63553i | −0.0515846 | + | 0.226007i | ||||
\(863\) | −36.7626 | + | 21.2249i | −1.25141 | + | 0.722504i | −0.971390 | − | 0.237490i | \(-0.923675\pi\) |
−0.280023 | + | 0.959993i | \(0.590342\pi\) | |||||||
\(864\) | −1.85419 | − | 21.4715i | −0.0630807 | − | 0.730477i | ||||
\(865\) | −14.2578 | − | 13.2293i | −0.484781 | − | 0.449811i | ||||
\(866\) | 7.49460 | + | 5.10973i | 0.254677 | + | 0.173636i | ||||
\(867\) | 9.87547 | + | 1.70284i | 0.335389 | + | 0.0578315i | ||||
\(868\) | 22.2061 | + | 11.6400i | 0.753724 | + | 0.395088i | ||||
\(869\) | −1.39303 | − | 1.11091i | −0.0472553 | − | 0.0376849i | ||||
\(870\) | −0.0948150 | + | 0.156484i | −0.00321453 | + | 0.00530532i | ||||
\(871\) | −26.0151 | + | 10.2102i | −0.881490 | + | 0.345959i | ||||
\(872\) | 0.735211 | + | 0.0550965i | 0.0248974 | + | 0.00186580i | ||||
\(873\) | 5.70463 | − | 10.6667i | 0.193073 | − | 0.361013i | ||||
\(874\) | −1.82116 | + | 3.78168i | −0.0616017 | + | 0.127917i | ||||
\(875\) | −17.4690 | − | 27.5935i | −0.590560 | − | 0.932829i | ||||
\(876\) | −10.9906 | − | 4.58406i | −0.371337 | − | 0.154881i | ||||
\(877\) | 0.447553 | + | 5.97218i | 0.0151128 | + | 0.201666i | 0.999649 | + | 0.0264860i | \(0.00843175\pi\) |
−0.984536 | + | 0.175180i | \(0.943949\pi\) | |||||||
\(878\) | −11.4983 | − | 3.54676i | −0.388049 | − | 0.119697i | ||||
\(879\) | −11.4136 | + | 45.5432i | −0.384970 | + | 1.53614i | ||||
\(880\) | −1.46539 | + | 9.72224i | −0.0493983 | + | 0.327737i | ||||
\(881\) | 24.4269 | 0.822964 | 0.411482 | − | 0.911418i | \(-0.365011\pi\) | ||||
0.411482 | + | 0.911418i | \(0.365011\pi\) | |||||||
\(882\) | −0.315166 | − | 8.01920i | −0.0106122 | − | 0.270021i | ||||
\(883\) | 50.7525 | 1.70796 | 0.853979 | − | 0.520307i | \(-0.174183\pi\) | ||||
0.853979 | + | 0.520307i | \(0.174183\pi\) | |||||||
\(884\) | −6.17733 | + | 40.9839i | −0.207766 | + | 1.37844i | ||||
\(885\) | 1.29174 | − | 5.15440i | 0.0434214 | − | 0.173263i | ||||
\(886\) | 2.68508 | + | 0.828237i | 0.0902070 | + | 0.0278252i | ||||
\(887\) | −1.30547 | − | 17.4203i | −0.0438334 | − | 0.584915i | −0.975271 | − | 0.221014i | \(-0.929063\pi\) |
0.931437 | − | 0.363902i | \(-0.118556\pi\) | |||||||
\(888\) | 6.90729 | + | 2.88096i | 0.231793 | + | 0.0966787i | ||||
\(889\) | −1.36740 | − | 11.7767i | −0.0458613 | − | 0.394979i | ||||
\(890\) | 8.69570 | − | 18.0568i | 0.291481 | − | 0.605266i | ||||
\(891\) | −6.31365 | − | 4.39592i | −0.211515 | − | 0.147269i | ||||
\(892\) | −37.8751 | − | 2.83835i | −1.26815 | − | 0.0950348i | ||||
\(893\) | −40.7663 | + | 15.9996i | −1.36419 | + | 0.535406i | ||||
\(894\) | −3.09918 | + | 5.11495i | −0.103652 | + | 0.171070i | ||||
\(895\) | −75.2785 | − | 60.0326i | −2.51628 | − | 2.00667i | ||||
\(896\) | 17.3500 | − | 20.3000i | 0.579624 | − | 0.678177i | ||||
\(897\) | 27.0850 | + | 4.67030i | 0.904340 | + | 0.155937i | ||||
\(898\) | −4.70892 | − | 3.21049i | −0.157139 | − | 0.107135i | ||||
\(899\) | 0.283199 | + | 0.262771i | 0.00944522 | + | 0.00876389i | ||||
\(900\) | 37.3432 | + | 27.8445i | 1.24477 | + | 0.928151i | ||||
\(901\) | −22.3320 | + | 12.8934i | −0.743985 | + | 0.429540i | ||||
\(902\) | −0.168554 | + | 0.738485i | −0.00561224 | + | 0.0245889i | ||||
\(903\) | −4.78420 | − | 7.92294i | −0.159208 | − | 0.263659i | ||||
\(904\) | 2.25033 | + | 9.85935i | 0.0748449 | + | 0.327917i | ||||
\(905\) | 49.7229 | + | 53.5885i | 1.65284 | + | 1.78134i | ||||
\(906\) | 0.365461 | + | 0.304311i | 0.0121416 | + | 0.0101101i | ||||
\(907\) | 11.6553 | − | 1.75676i | 0.387010 | − | 0.0583323i | 0.0473441 | − | 0.998879i | \(-0.484924\pi\) |
0.339665 | + | 0.940546i | \(0.389686\pi\) | |||||||
\(908\) | −29.9207 | + | 27.7624i | −0.992955 | + | 0.921327i | ||||
\(909\) | 19.3197 | − | 2.08089i | 0.640794 | − | 0.0690186i | ||||
\(910\) | −15.8968 | − | 6.87157i | −0.526973 | − | 0.227790i | ||||
\(911\) | 33.5544 | + | 7.65857i | 1.11171 | + | 0.253740i | 0.738664 | − | 0.674074i | \(-0.235457\pi\) |
0.373043 | + | 0.927814i | \(0.378314\pi\) | |||||||
\(912\) | 5.56059 | − | 16.7599i | 0.184129 | − | 0.554975i | ||||
\(913\) | −9.59116 | − | 5.53746i | −0.317421 | − | 0.183263i | ||||
\(914\) | −7.44187 | + | 8.02042i | −0.246155 | + | 0.265292i | ||||
\(915\) | 11.2662 | + | 87.2281i | 0.372450 | + | 2.88367i | ||||
\(916\) | 25.2883 | − | 20.1667i | 0.835547 | − | 0.666327i | ||||
\(917\) | −37.4289 | − | 9.89305i | −1.23601 | − | 0.326697i | ||||
\(918\) | 0.601111 | − | 9.45988i | 0.0198396 | − | 0.312222i | ||||
\(919\) | −14.9220 | + | 4.60281i | −0.492230 | + | 0.151833i | −0.530926 | − | 0.847418i | \(-0.678156\pi\) |
0.0386961 | + | 0.999251i | \(0.487680\pi\) | |||||||
\(920\) | 6.66760 | + | 16.9888i | 0.219824 | + | 0.560103i | ||||
\(921\) | 15.3027 | − | 11.6827i | 0.504241 | − | 0.384957i | ||||
\(922\) | 4.20317 | + | 1.64962i | 0.138424 | + | 0.0543275i | ||||
\(923\) | −24.9863 | − | 12.0328i | −0.822433 | − | 0.396063i | ||||
\(924\) | −1.22322 | − | 7.15857i | −0.0402410 | − | 0.235500i | ||||
\(925\) | −22.1373 | + | 10.6608i | −0.727869 | + | 0.350523i | ||||
\(926\) | 13.0326 | − | 0.976662i | 0.428279 | − | 0.0320951i | ||||
\(927\) | 4.30348 | + | 1.90277i | 0.141345 | + | 0.0624953i | ||||
\(928\) | 0.259011 | − | 0.176591i | 0.00850245 | − | 0.00579687i | ||||
\(929\) | 7.98854 | + | 1.20408i | 0.262096 | + | 0.0395046i | 0.278775 | − | 0.960356i | \(-0.410071\pi\) |
−0.0166798 | + | 0.999861i | \(0.505310\pi\) | |||||||
\(930\) | −9.24649 | + | 8.22247i | −0.303204 | + | 0.269625i | ||||
\(931\) | 8.14649 | − | 21.1784i | 0.266991 | − | 0.694095i | ||||
\(932\) | 23.7575i | 0.778203i | ||||||||
\(933\) | −15.5152 | + | 10.1041i | −0.507945 | + | 0.330794i | ||||
\(934\) | 2.64189 | + | 3.87494i | 0.0864452 | + | 0.126792i | ||||
\(935\) | −4.39856 | + | 14.2598i | −0.143848 | + | 0.466345i | ||||
\(936\) | 20.6751 | + | 0.875187i | 0.675786 | + | 0.0286064i | ||||
\(937\) | −9.97258 | − | 20.7083i | −0.325790 | − | 0.676510i | 0.672167 | − | 0.740400i | \(-0.265364\pi\) |
−0.997957 | + | 0.0638896i | \(0.979649\pi\) | |||||||
\(938\) | 5.70166 | + | 1.97341i | 0.186166 | + | 0.0644340i | ||||
\(939\) | 15.1891 | + | 53.2127i | 0.495676 | + | 1.73653i | ||||
\(940\) | −33.4655 | + | 85.2688i | −1.09153 | + | 2.78116i | ||||
\(941\) | −3.10962 | + | 41.4950i | −0.101371 | + | 1.35270i | 0.682095 | + | 0.731264i | \(0.261069\pi\) |
−0.783465 | + | 0.621435i | \(0.786550\pi\) | |||||||
\(942\) | 7.23216 | + | 3.67325i | 0.235636 | + | 0.119681i | ||||
\(943\) | −2.31571 | − | 7.50734i | −0.0754099 | − | 0.244473i | ||||
\(944\) | −1.64494 | + | 2.06269i | −0.0535383 | + | 0.0671350i | ||||
\(945\) | −47.6964 | − | 15.9048i | −1.55156 | − | 0.517383i | ||||
\(946\) | 0.411365 | + | 0.515835i | 0.0133746 | + | 0.0167712i | ||||
\(947\) | −16.3846 | + | 24.0318i | −0.532428 | + | 0.780929i | −0.994368 | − | 0.105982i | \(-0.966201\pi\) |
0.461940 | + | 0.886911i | \(0.347154\pi\) | |||||||
\(948\) | 6.69179 | + | 0.141570i | 0.217339 | + | 0.00459798i | ||||
\(949\) | 8.68401 | − | 15.0411i | 0.281895 | − | 0.488256i | ||||
\(950\) | −5.18764 | − | 8.98526i | −0.168309 | − | 0.291520i | ||||
\(951\) | −9.77581 | + | 5.37164i | −0.317002 | + | 0.174187i | ||||
\(952\) | 14.0577 | − | 12.1809i | 0.455613 | − | 0.394785i | ||||
\(953\) | 36.6897 | − | 8.37419i | 1.18850 | − | 0.271266i | 0.417842 | − | 0.908520i | \(-0.362787\pi\) |
0.770654 | + | 0.637253i | \(0.219930\pi\) | |||||||
\(954\) | 3.65331 | + | 5.00122i | 0.118280 | + | 0.161920i | ||||
\(955\) | −7.40678 | − | 49.1408i | −0.239678 | − | 1.59016i | ||||
\(956\) | −3.84824 | − | 25.5314i | −0.124461 | − | 0.825745i | ||||
\(957\) | 0.0107210 | − | 0.111389i | 0.000346561 | − | 0.00360071i | ||||
\(958\) | 1.26052 | − | 0.287706i | 0.0407257 | − | 0.00929537i | ||||
\(959\) | −41.8183 | + | 11.3574i | −1.35038 | + | 0.366750i | ||||
\(960\) | −14.3527 | − | 26.1204i | −0.463232 | − | 0.843032i | ||||
\(961\) | −2.43680 | − | 4.22067i | −0.0786066 | − | 0.136151i | ||||
\(962\) | −2.62542 | + | 4.54737i | −0.0846470 | + | 0.146613i | ||||
\(963\) | 25.9576 | + | 30.4643i | 0.836473 | + | 0.981699i | ||||
\(964\) | 15.9465 | − | 23.3893i | 0.513603 | − | 0.753318i | ||||
\(965\) | −43.9435 | − | 55.1034i | −1.41459 | − | 1.77384i | ||||
\(966\) | −3.78999 | − | 4.56559i | −0.121941 | − | 0.146896i | ||||
\(967\) | −2.54293 | + | 3.18873i | −0.0817750 | + | 0.102543i | −0.821036 | − | 0.570876i | \(-0.806604\pi\) |
0.739261 | + | 0.673419i | \(0.235175\pi\) | |||||||
\(968\) | −4.45816 | − | 14.4530i | −0.143291 | − | 0.464537i | ||||
\(969\) | 12.1367 | − | 23.8956i | 0.389886 | − | 0.767636i | ||||
\(970\) | −0.421139 | + | 5.61970i | −0.0135219 | + | 0.180438i | ||||
\(971\) | −2.85266 | + | 7.26847i | −0.0915463 | + | 0.233256i | −0.969312 | − | 0.245834i | \(-0.920938\pi\) |
0.877766 | + | 0.479090i | \(0.159033\pi\) | |||||||
\(972\) | 28.8725 | − | 1.26648i | 0.926086 | − | 0.0406224i | ||||
\(973\) | −0.275698 | + | 2.52383i | −0.00883848 | + | 0.0809104i | ||||
\(974\) | 4.11541 | + | 8.54574i | 0.131866 | + | 0.273823i | ||||
\(975\) | −47.2529 | + | 48.8139i | −1.51330 | + | 1.56329i | ||||
\(976\) | 12.8714 | − | 41.7282i | 0.412005 | − | 1.33569i | ||||
\(977\) | −3.92124 | − | 5.75140i | −0.125452 | − | 0.184004i | 0.758375 | − | 0.651819i | \(-0.225994\pi\) |
−0.883826 | + | 0.467815i | \(0.845041\pi\) | |||||||
\(978\) | −5.31167 | − | 8.15625i | −0.169848 | − | 0.260808i | ||||
\(979\) | 12.2575i | 0.391752i | ||||||||
\(980\) | −20.8827 | − | 42.6211i | −0.667074 | − | 1.36148i | ||||
\(981\) | −0.175460 | + | 1.49146i | −0.00560201 | + | 0.0476186i | ||||
\(982\) | −4.78178 | − | 0.720737i | −0.152593 | − | 0.0229997i | ||||
\(983\) | 27.5883 | − | 18.8094i | 0.879930 | − | 0.599926i | −0.0368487 | − | 0.999321i | \(-0.511732\pi\) |
0.916779 | + | 0.399394i | \(0.130780\pi\) | |||||||
\(984\) | −2.45321 | − | 5.38249i | −0.0782053 | − | 0.171587i | ||||
\(985\) | −43.4043 | + | 3.25271i | −1.38298 | + | 0.103640i | ||||
\(986\) | 0.124224 | − | 0.0598232i | 0.00395610 | − | 0.00190516i | ||||
\(987\) | 3.41318 | − | 61.8158i | 0.108643 | − | 1.96762i | ||||
\(988\) | 25.3588 | + | 12.2122i | 0.806772 | + | 0.388521i | ||||
\(989\) | −6.37004 | − | 2.50006i | −0.202555 | − | 0.0794972i | ||||
\(990\) | 3.51835 | + | 0.683601i | 0.111821 | + | 0.0217263i | ||||
\(991\) | 20.9493 | + | 53.3780i | 0.665477 | + | 1.69561i | 0.717128 | + | 0.696941i | \(0.245456\pi\) |
−0.0516517 | + | 0.998665i | \(0.516449\pi\) | |||||||
\(992\) | 20.2581 | − | 6.24879i | 0.643195 | − | 0.198399i | ||||
\(993\) | 0.915106 | + | 17.0415i | 0.0290400 | + | 0.540795i | ||||
\(994\) | 2.41285 | + | 5.47952i | 0.0765311 | + | 0.173800i | ||||
\(995\) | −20.7394 | + | 16.5391i | −0.657484 | + | 0.524326i | ||||
\(996\) | 41.2610 | − | 5.32919i | 1.30740 | − | 0.168862i | ||||
\(997\) | 28.6014 | − | 30.8250i | 0.905815 | − | 0.976236i | −0.0939983 | − | 0.995572i | \(-0.529965\pi\) |
0.999813 | + | 0.0193363i | \(0.00615530\pi\) | |||||||
\(998\) | 3.02959 | + | 1.74914i | 0.0959001 | + | 0.0553680i | ||||
\(999\) | −6.45799 | + | 13.8086i | −0.204322 | + | 0.436886i |
(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 | 147.2.o.b.59.8 | yes | 192 | |
3.2 | odd | 2 | inner | 147.2.o.b.59.9 | yes | 192 | |
49.5 | odd | 42 | inner | 147.2.o.b.5.9 | yes | 192 | |
147.5 | even | 42 | inner | 147.2.o.b.5.8 | ✓ | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.o.b.5.8 | ✓ | 192 | 147.5 | even | 42 | inner | |
147.2.o.b.5.9 | yes | 192 | 49.5 | odd | 42 | inner | |
147.2.o.b.59.8 | yes | 192 | 1.1 | even | 1 | trivial | |
147.2.o.b.59.9 | yes | 192 | 3.2 | odd | 2 | inner |