Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 209.16 | ||
Character | \(\chi\) | \(=\) | 378.209 |
Dual form | 378.2.z.a.293.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342020 | + | 0.939693i | 0.241845 | + | 0.664463i | ||||
\(3\) | −1.29192 | + | 1.15367i | −0.745890 | + | 0.666069i | ||||
\(4\) | −0.766044 | + | 0.642788i | −0.383022 | + | 0.321394i | ||||
\(5\) | −0.588971 | − | 3.34022i | −0.263396 | − | 1.49379i | −0.773565 | − | 0.633717i | \(-0.781528\pi\) |
0.510169 | − | 0.860074i | \(-0.329583\pi\) | |||||||
\(6\) | −1.52595 | − | 0.819431i | −0.622968 | − | 0.334531i | ||||
\(7\) | −2.60253 | + | 0.476291i | −0.983663 | + | 0.180021i | ||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.338113 | − | 2.98089i | 0.112704 | − | 0.993629i | ||||
\(10\) | 2.93734 | − | 1.69587i | 0.928868 | − | 0.536282i | ||||
\(11\) | 5.82199 | + | 1.02657i | 1.75540 | + | 0.309524i | 0.956454 | − | 0.291883i | \(-0.0942818\pi\) |
0.798943 | + | 0.601407i | \(0.205393\pi\) | |||||||
\(12\) | 0.248106 | − | 1.71419i | 0.0716220 | − | 0.494844i | ||||
\(13\) | 1.71844 | − | 4.72138i | 0.476610 | − | 1.30947i | −0.435744 | − | 0.900071i | \(-0.643515\pi\) |
0.912353 | − | 0.409404i | \(-0.134263\pi\) | |||||||
\(14\) | −1.33768 | − | 2.28267i | −0.357511 | − | 0.610070i | ||||
\(15\) | 4.61440 | + | 3.63582i | 1.19143 | + | 0.938764i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −0.893547 | − | 1.54767i | −0.216717 | − | 0.375365i | 0.737085 | − | 0.675800i | \(-0.236202\pi\) |
−0.953802 | + | 0.300435i | \(0.902868\pi\) | |||||||
\(18\) | 2.91676 | − | 0.701801i | 0.687486 | − | 0.165416i | ||||
\(19\) | 1.39029 | + | 0.802683i | 0.318954 | + | 0.184148i | 0.650926 | − | 0.759141i | \(-0.274381\pi\) |
−0.331972 | + | 0.943289i | \(0.607714\pi\) | |||||||
\(20\) | 2.59823 | + | 2.18017i | 0.580982 | + | 0.487501i | ||||
\(21\) | 2.81278 | − | 3.61777i | 0.613798 | − | 0.789463i | ||||
\(22\) | 1.02657 | + | 5.82199i | 0.218866 | + | 1.24125i | ||||
\(23\) | −2.97175 | − | 3.54159i | −0.619653 | − | 0.738474i | 0.361358 | − | 0.932427i | \(-0.382313\pi\) |
−0.981011 | + | 0.193954i | \(0.937869\pi\) | |||||||
\(24\) | 1.69567 | − | 0.353144i | 0.346127 | − | 0.0720852i | ||||
\(25\) | −6.11171 | + | 2.22448i | −1.22234 | + | 0.444896i | ||||
\(26\) | 5.02439 | 0.985363 | ||||||||
\(27\) | 3.00213 | + | 4.24113i | 0.577760 | + | 0.816207i | ||||
\(28\) | 1.68750 | − | 2.03773i | 0.318907 | − | 0.385095i | ||||
\(29\) | −0.134460 | − | 0.369425i | −0.0249686 | − | 0.0686005i | 0.926582 | − | 0.376092i | \(-0.122733\pi\) |
−0.951551 | + | 0.307492i | \(0.900510\pi\) | |||||||
\(30\) | −1.83834 | + | 5.57964i | −0.335633 | + | 1.01870i | ||||
\(31\) | −5.48946 | − | 6.54208i | −0.985936 | − | 1.17499i | −0.984570 | − | 0.174994i | \(-0.944009\pi\) |
−0.00136659 | − | 0.999999i | \(-0.500435\pi\) | |||||||
\(32\) | 0.984808 | − | 0.173648i | 0.174091 | − | 0.0306970i | ||||
\(33\) | −8.70587 | + | 5.39038i | −1.51550 | + | 0.938345i | ||||
\(34\) | 1.14872 | − | 1.36899i | 0.197004 | − | 0.234781i | ||||
\(35\) | 3.12373 | + | 8.41249i | 0.528006 | + | 1.42197i | ||||
\(36\) | 1.65707 | + | 2.50083i | 0.276178 | + | 0.416804i | ||||
\(37\) | −3.02735 | − | 5.24352i | −0.497693 | − | 0.862029i | 0.502304 | − | 0.864691i | \(-0.332486\pi\) |
−0.999996 | + | 0.00266226i | \(0.999153\pi\) | |||||||
\(38\) | −0.278769 | + | 1.58098i | −0.0452223 | + | 0.256468i | ||||
\(39\) | 3.22680 | + | 8.08215i | 0.516702 | + | 1.29418i | ||||
\(40\) | −1.16005 | + | 3.18720i | −0.183419 | + | 0.503940i | ||||
\(41\) | 4.59052 | + | 1.67081i | 0.716919 | + | 0.260937i | 0.674617 | − | 0.738168i | \(-0.264309\pi\) |
0.0423018 | + | 0.999105i | \(0.486531\pi\) | |||||||
\(42\) | 4.36162 | + | 1.40579i | 0.673013 | + | 0.216918i | ||||
\(43\) | 1.47068 | − | 8.34064i | 0.224277 | − | 1.27194i | −0.639787 | − | 0.768552i | \(-0.720977\pi\) |
0.864063 | − | 0.503383i | \(-0.167911\pi\) | |||||||
\(44\) | −5.11977 | + | 2.95590i | −0.771835 | + | 0.445619i | ||||
\(45\) | −10.1559 | + | 0.626284i | −1.51396 | + | 0.0933610i | ||||
\(46\) | 2.31161 | − | 4.00383i | 0.340829 | − | 0.590332i | ||||
\(47\) | 4.18245 | + | 3.50949i | 0.610072 | + | 0.511912i | 0.894665 | − | 0.446737i | \(-0.147414\pi\) |
−0.284593 | + | 0.958648i | \(0.591858\pi\) | |||||||
\(48\) | 0.911799 | + | 1.47262i | 0.131607 | + | 0.212555i | ||||
\(49\) | 6.54629 | − | 2.47912i | 0.935185 | − | 0.354160i | ||||
\(50\) | −4.18066 | − | 4.98231i | −0.591234 | − | 0.704605i | ||||
\(51\) | 2.93988 | + | 0.968610i | 0.411666 | + | 0.135632i | ||||
\(52\) | 1.71844 | + | 4.72138i | 0.238305 | + | 0.654737i | ||||
\(53\) | 3.16613i | 0.434902i | 0.976071 | + | 0.217451i | \(0.0697742\pi\) | ||||
−0.976071 | + | 0.217451i | \(0.930226\pi\) | |||||||
\(54\) | −2.95857 | + | 4.27163i | −0.402611 | + | 0.581296i | ||||
\(55\) | − | 20.0514i | − | 2.70372i | ||||||
\(56\) | 2.49200 | + | 0.888783i | 0.333008 | + | 0.118769i | ||||
\(57\) | −2.72217 | + | 0.566925i | −0.360560 | + | 0.0750911i | ||||
\(58\) | 0.301158 | − | 0.252702i | 0.0395440 | − | 0.0331814i | ||||
\(59\) | 0.911701 | + | 5.17051i | 0.118693 | + | 0.673143i | 0.984855 | + | 0.173380i | \(0.0554687\pi\) |
−0.866162 | + | 0.499764i | \(0.833420\pi\) | |||||||
\(60\) | −5.87189 | + | 0.180878i | −0.758058 | + | 0.0233513i | ||||
\(61\) | −2.75704 | + | 3.28571i | −0.353002 | + | 0.420692i | −0.913101 | − | 0.407734i | \(-0.866319\pi\) |
0.560098 | + | 0.828426i | \(0.310763\pi\) | |||||||
\(62\) | 4.27004 | − | 7.39593i | 0.542296 | − | 0.939284i | ||||
\(63\) | 0.539822 | + | 7.91888i | 0.0680112 | + | 0.997685i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −16.7825 | − | 2.95922i | −2.08162 | − | 0.367046i | ||||
\(66\) | −8.04288 | − | 6.33722i | −0.990011 | − | 0.780058i | ||||
\(67\) | −10.1189 | − | 3.68299i | −1.23623 | − | 0.449949i | −0.360500 | − | 0.932759i | \(-0.617394\pi\) |
−0.875725 | + | 0.482810i | \(0.839616\pi\) | |||||||
\(68\) | 1.67932 | + | 0.611222i | 0.203647 | + | 0.0741216i | ||||
\(69\) | 7.92508 | + | 1.14705i | 0.954067 | + | 0.138089i | ||||
\(70\) | −6.83677 | + | 5.81258i | −0.817151 | + | 0.694737i | ||||
\(71\) | 8.84053 | − | 5.10408i | 1.04918 | − | 0.605743i | 0.126759 | − | 0.991934i | \(-0.459543\pi\) |
0.922419 | + | 0.386190i | \(0.126209\pi\) | |||||||
\(72\) | −1.78326 | + | 2.41247i | −0.210159 | + | 0.284312i | ||||
\(73\) | −1.36302 | − | 0.786939i | −0.159529 | − | 0.0921042i | 0.418110 | − | 0.908396i | \(-0.362693\pi\) |
−0.577639 | + | 0.816292i | \(0.696026\pi\) | |||||||
\(74\) | 3.89188 | − | 4.63816i | 0.452422 | − | 0.539176i | ||||
\(75\) | 5.32953 | − | 9.92472i | 0.615401 | − | 1.14601i | ||||
\(76\) | −1.58098 | + | 0.278769i | −0.181351 | + | 0.0319770i | ||||
\(77\) | −15.6408 | + | 0.101275i | −1.78244 | + | 0.0115414i | ||||
\(78\) | −6.49110 | + | 5.79646i | −0.734973 | + | 0.656320i | ||||
\(79\) | −12.3072 | + | 4.47946i | −1.38467 | + | 0.503979i | −0.923591 | − | 0.383379i | \(-0.874760\pi\) |
−0.461080 | + | 0.887358i | \(0.652538\pi\) | |||||||
\(80\) | −3.39175 | −0.379209 | ||||||||
\(81\) | −8.77136 | − | 2.01575i | −0.974596 | − | 0.223972i | ||||
\(82\) | 4.88513i | 0.539472i | ||||||||
\(83\) | −4.62440 | + | 1.68314i | −0.507594 | + | 0.184749i | −0.583106 | − | 0.812396i | \(-0.698163\pi\) |
0.0755126 | + | 0.997145i | \(0.475941\pi\) | |||||||
\(84\) | 0.170750 | + | 4.57939i | 0.0186304 | + | 0.499653i | ||||
\(85\) | −4.64328 | + | 3.89617i | −0.503634 | + | 0.422599i | ||||
\(86\) | 8.34064 | − | 1.47068i | 0.899394 | − | 0.158587i | ||||
\(87\) | 0.599904 | + | 0.322146i | 0.0643165 | + | 0.0345377i | ||||
\(88\) | −4.52871 | − | 3.80004i | −0.482762 | − | 0.405085i | ||||
\(89\) | −0.381819 | + | 0.661330i | −0.0404728 | + | 0.0701009i | −0.885552 | − | 0.464540i | \(-0.846220\pi\) |
0.845079 | + | 0.534641i | \(0.179553\pi\) | |||||||
\(90\) | −4.06205 | − | 9.32927i | −0.428178 | − | 0.983391i | ||||
\(91\) | −2.22354 | + | 13.1060i | −0.233090 | + | 1.37388i | ||||
\(92\) | 4.55299 | + | 0.802814i | 0.474682 | + | 0.0836992i | ||||
\(93\) | 14.6393 | + | 2.11885i | 1.51803 | + | 0.219714i | ||||
\(94\) | −1.86736 | + | 5.13053i | −0.192603 | + | 0.529174i | ||||
\(95\) | 1.86230 | − | 5.11662i | 0.191068 | − | 0.524955i | ||||
\(96\) | −1.07196 | + | 1.36048i | −0.109407 | + | 0.138853i | ||||
\(97\) | 6.77329 | + | 1.19431i | 0.687724 | + | 0.121264i | 0.506581 | − | 0.862193i | \(-0.330909\pi\) |
0.181143 | + | 0.983457i | \(0.442020\pi\) | |||||||
\(98\) | 4.56858 | + | 5.30359i | 0.461496 | + | 0.535744i | ||||
\(99\) | 5.02859 | − | 17.0076i | 0.505392 | − | 1.70933i | ||||
\(100\) | 3.25197 | − | 5.63258i | 0.325197 | − | 0.563258i | ||||
\(101\) | 1.25817 | + | 1.05573i | 0.125193 | + | 0.105049i | 0.703234 | − | 0.710958i | \(-0.251738\pi\) |
−0.578042 | + | 0.816007i | \(0.696183\pi\) | |||||||
\(102\) | 0.0953040 | + | 3.09387i | 0.00943650 | + | 0.306339i | ||||
\(103\) | 11.8869 | − | 2.09598i | 1.17125 | − | 0.206523i | 0.446015 | − | 0.895025i | \(-0.352843\pi\) |
0.725234 | + | 0.688502i | \(0.241732\pi\) | |||||||
\(104\) | −3.84890 | + | 3.22961i | −0.377416 | + | 0.316690i | ||||
\(105\) | −13.7408 | − | 7.26452i | −1.34096 | − | 0.708945i | ||||
\(106\) | −2.97519 | + | 1.08288i | −0.288976 | + | 0.105179i | ||||
\(107\) | 6.36147i | 0.614986i | 0.951550 | + | 0.307493i | \(0.0994901\pi\) | ||||
−0.951550 | + | 0.307493i | \(0.900510\pi\) | |||||||
\(108\) | −5.02591 | − | 1.31916i | −0.483619 | − | 0.126937i | ||||
\(109\) | 4.54397 | 0.435234 | 0.217617 | − | 0.976034i | \(-0.430172\pi\) | ||||
0.217617 | + | 0.976034i | \(0.430172\pi\) | |||||||
\(110\) | 18.8421 | − | 6.85797i | 1.79652 | − | 0.653881i | ||||
\(111\) | 9.96035 | + | 3.28166i | 0.945395 | + | 0.311481i | ||||
\(112\) | 0.0171310 | + | 2.64570i | 0.00161873 | + | 0.249995i | ||||
\(113\) | 13.8518 | − | 2.44245i | 1.30307 | − | 0.229766i | 0.521321 | − | 0.853361i | \(-0.325440\pi\) |
0.781748 | + | 0.623595i | \(0.214328\pi\) | |||||||
\(114\) | −1.46377 | − | 2.36410i | −0.137095 | − | 0.221418i | ||||
\(115\) | −10.0794 | + | 12.0122i | −0.939911 | + | 1.12014i | ||||
\(116\) | 0.340464 | + | 0.196567i | 0.0316113 | + | 0.0182508i | ||||
\(117\) | −13.4929 | − | 6.71883i | −1.24742 | − | 0.621156i | ||||
\(118\) | −4.54687 | + | 2.62514i | −0.418573 | + | 0.241664i | ||||
\(119\) | 3.06262 | + | 3.60226i | 0.280750 | + | 0.330219i | ||||
\(120\) | −2.17828 | − | 5.45591i | −0.198848 | − | 0.498054i | ||||
\(121\) | 22.5051 | + | 8.19120i | 2.04592 | + | 0.744654i | ||||
\(122\) | −4.03052 | − | 1.46699i | −0.364906 | − | 0.132815i | ||||
\(123\) | −7.85814 | + | 3.13737i | −0.708545 | + | 0.282887i | ||||
\(124\) | 8.41034 | + | 1.48297i | 0.755271 | + | 0.133175i | ||||
\(125\) | 2.55050 | + | 4.41760i | 0.228124 | + | 0.395122i | ||||
\(126\) | −7.25668 | + | 3.21568i | −0.646476 | + | 0.286476i | ||||
\(127\) | −10.3565 | + | 17.9380i | −0.918993 | + | 1.59174i | −0.118047 | + | 0.993008i | \(0.537663\pi\) |
−0.800947 | + | 0.598735i | \(0.795670\pi\) | |||||||
\(128\) | −0.642788 | + | 0.766044i | −0.0568149 | + | 0.0677094i | ||||
\(129\) | 7.72230 | + | 12.4721i | 0.679911 | + | 1.09811i | ||||
\(130\) | −2.95922 | − | 16.7825i | −0.259540 | − | 1.47193i | ||||
\(131\) | −4.24237 | + | 3.55977i | −0.370657 | + | 0.311018i | −0.809021 | − | 0.587779i | \(-0.800002\pi\) |
0.438364 | + | 0.898797i | \(0.355558\pi\) | |||||||
\(132\) | 3.20421 | − | 9.72530i | 0.278891 | − | 0.846478i | ||||
\(133\) | −4.00057 | − | 1.42682i | −0.346894 | − | 0.123721i | ||||
\(134\) | − | 10.7684i | − | 0.930244i | ||||||
\(135\) | 12.3981 | − | 12.5257i | 1.06706 | − | 1.07804i | ||||
\(136\) | 1.78709i | 0.153242i | ||||||||
\(137\) | 0.439665 | + | 1.20797i | 0.0375631 | + | 0.103204i | 0.957056 | − | 0.289902i | \(-0.0936228\pi\) |
−0.919493 | + | 0.393106i | \(0.871401\pi\) | |||||||
\(138\) | 1.63266 | + | 7.83945i | 0.138981 | + | 0.667338i | ||||
\(139\) | 7.76148 | + | 9.24977i | 0.658320 | + | 0.784555i | 0.987144 | − | 0.159836i | \(-0.0510966\pi\) |
−0.328824 | + | 0.944391i | \(0.606652\pi\) | |||||||
\(140\) | −7.80036 | − | 4.43645i | −0.659251 | − | 0.374948i | ||||
\(141\) | −9.45216 | + | 0.291165i | −0.796015 | + | 0.0245206i | ||||
\(142\) | 7.81991 | + | 6.56168i | 0.656232 | + | 0.550644i | ||||
\(143\) | 14.8516 | − | 25.7237i | 1.24195 | − | 2.15113i | ||||
\(144\) | −2.87689 | − | 0.850601i | −0.239741 | − | 0.0708834i | ||||
\(145\) | −1.15477 | + | 0.666706i | −0.0958983 | + | 0.0553669i | ||||
\(146\) | 0.273301 | − | 1.54997i | 0.0226185 | − | 0.128276i | ||||
\(147\) | −5.59721 | + | 10.7551i | −0.461650 | + | 0.887062i | ||||
\(148\) | 5.68955 | + | 2.07083i | 0.467678 | + | 0.170221i | ||||
\(149\) | −3.11442 | + | 8.55680i | −0.255143 | + | 0.701000i | 0.744307 | + | 0.667838i | \(0.232780\pi\) |
−0.999450 | + | 0.0331623i | \(0.989442\pi\) | |||||||
\(150\) | 11.1490 | + | 1.61367i | 0.910311 | + | 0.131755i | ||||
\(151\) | 2.04684 | − | 11.6082i | 0.166569 | − | 0.944662i | −0.780862 | − | 0.624703i | \(-0.785220\pi\) |
0.947432 | − | 0.319958i | \(-0.103669\pi\) | |||||||
\(152\) | −0.802683 | − | 1.39029i | −0.0651062 | − | 0.112767i | ||||
\(153\) | −4.91554 | + | 2.14028i | −0.397398 | + | 0.173031i | ||||
\(154\) | −5.44465 | − | 14.6629i | −0.438742 | − | 1.18157i | ||||
\(155\) | −18.6189 | + | 22.1891i | −1.49550 | + | 1.78227i | ||||
\(156\) | −7.66698 | − | 4.11713i | −0.613849 | − | 0.329635i | ||||
\(157\) | −9.79853 | + | 1.72775i | −0.782008 | + | 0.137889i | −0.550379 | − | 0.834915i | \(-0.685517\pi\) |
−0.231629 | + | 0.972804i | \(0.574406\pi\) | |||||||
\(158\) | −8.41864 | − | 10.0329i | −0.669751 | − | 0.798178i | ||||
\(159\) | −3.65266 | − | 4.09039i | −0.289675 | − | 0.324389i | ||||
\(160\) | −1.16005 | − | 3.18720i | −0.0917097 | − | 0.251970i | ||||
\(161\) | 9.42089 | + | 7.80168i | 0.742470 | + | 0.614858i | ||||
\(162\) | −1.10580 | − | 8.93181i | −0.0868796 | − | 0.701749i | ||||
\(163\) | 2.03725 | 0.159570 | 0.0797848 | − | 0.996812i | \(-0.474577\pi\) | ||||
0.0797848 | + | 0.996812i | \(0.474577\pi\) | |||||||
\(164\) | −4.59052 | + | 1.67081i | −0.358460 | + | 0.130469i | ||||
\(165\) | 23.1325 | + | 25.9047i | 1.80087 | + | 2.01668i | ||||
\(166\) | −3.16328 | − | 3.76984i | −0.245518 | − | 0.292597i | ||||
\(167\) | −2.52761 | − | 14.3348i | −0.195592 | − | 1.10926i | −0.911573 | − | 0.411139i | \(-0.865131\pi\) |
0.715980 | − | 0.698120i | \(-0.245980\pi\) | |||||||
\(168\) | −4.24482 | + | 1.72670i | −0.327495 | + | 0.133218i | ||||
\(169\) | −9.37979 | − | 7.87058i | −0.721522 | − | 0.605429i | ||||
\(170\) | −5.24930 | − | 3.03069i | −0.402603 | − | 0.232443i | ||||
\(171\) | 2.86278 | − | 3.87289i | 0.218922 | − | 0.296168i | ||||
\(172\) | 4.23465 | + | 7.33463i | 0.322889 | + | 0.559261i | ||||
\(173\) | 2.50773 | − | 14.2220i | 0.190659 | − | 1.08128i | −0.727807 | − | 0.685782i | \(-0.759460\pi\) |
0.918466 | − | 0.395500i | \(-0.129429\pi\) | |||||||
\(174\) | −0.0975389 | + | 0.673906i | −0.00739441 | + | 0.0510887i | ||||
\(175\) | 14.8464 | − | 8.70022i | 1.12228 | − | 0.657675i | ||||
\(176\) | 2.02196 | − | 5.55528i | 0.152411 | − | 0.418745i | ||||
\(177\) | −7.14288 | − | 5.62809i | −0.536892 | − | 0.423033i | ||||
\(178\) | −0.752037 | − | 0.132604i | −0.0563676 | − | 0.00993912i | ||||
\(179\) | 21.3104 | − | 12.3036i | 1.59282 | − | 0.919612i | 0.599994 | − | 0.800005i | \(-0.295170\pi\) |
0.992821 | − | 0.119608i | \(-0.0381637\pi\) | |||||||
\(180\) | 7.37734 | − | 7.00788i | 0.549874 | − | 0.522336i | ||||
\(181\) | 6.64468 | + | 3.83631i | 0.493895 | + | 0.285150i | 0.726189 | − | 0.687495i | \(-0.241290\pi\) |
−0.232294 | + | 0.972646i | \(0.574623\pi\) | |||||||
\(182\) | −13.0761 | + | 2.39307i | −0.969265 | + | 0.177386i | ||||
\(183\) | −0.228738 | − | 7.42557i | −0.0169088 | − | 0.548914i | ||||
\(184\) | 0.802814 | + | 4.55299i | 0.0591843 | + | 0.335651i | ||||
\(185\) | −15.7315 | + | 13.2003i | −1.15660 | + | 0.970504i | ||||
\(186\) | 3.01588 | + | 14.4811i | 0.221135 | + | 1.06181i | ||||
\(187\) | −3.61343 | − | 9.92781i | −0.264240 | − | 0.725994i | ||||
\(188\) | −5.45980 | −0.398197 | ||||||||
\(189\) | −9.83314 | − | 9.60778i | −0.715256 | − | 0.698863i | ||||
\(190\) | 5.44500 | 0.395022 | ||||||||
\(191\) | 9.16428 | + | 25.1787i | 0.663104 | + | 1.82186i | 0.562258 | + | 0.826962i | \(0.309933\pi\) |
0.100846 | + | 0.994902i | \(0.467845\pi\) | |||||||
\(192\) | −1.64506 | − | 0.542003i | −0.118722 | − | 0.0391157i | ||||
\(193\) | −1.68733 | + | 1.41584i | −0.121457 | + | 0.101914i | −0.701493 | − | 0.712676i | \(-0.747483\pi\) |
0.580036 | + | 0.814591i | \(0.303038\pi\) | |||||||
\(194\) | 1.19431 | + | 6.77329i | 0.0857467 | + | 0.486294i | ||||
\(195\) | 25.0956 | − | 15.5384i | 1.79714 | − | 1.11273i | ||||
\(196\) | −3.42120 | + | 6.10699i | −0.244372 | + | 0.436214i | ||||
\(197\) | −7.23110 | − | 4.17488i | −0.515195 | − | 0.297448i | 0.219772 | − | 0.975551i | \(-0.429469\pi\) |
−0.734966 | + | 0.678103i | \(0.762802\pi\) | |||||||
\(198\) | 17.7018 | − | 1.09161i | 1.25801 | − | 0.0775775i | ||||
\(199\) | 13.2610 | − | 7.65623i | 0.940046 | − | 0.542736i | 0.0500710 | − | 0.998746i | \(-0.484055\pi\) |
0.889975 | + | 0.456010i | \(0.150722\pi\) | |||||||
\(200\) | 6.40514 | + | 1.12940i | 0.452912 | + | 0.0798605i | ||||
\(201\) | 17.3218 | − | 6.91574i | 1.22179 | − | 0.487799i | ||||
\(202\) | −0.561742 | + | 1.54337i | −0.0395240 | + | 0.108591i | ||||
\(203\) | 0.525889 | + | 0.897397i | 0.0369102 | + | 0.0629849i | ||||
\(204\) | −2.87469 | + | 1.14772i | −0.201269 | + | 0.0803567i | ||||
\(205\) | 2.87720 | − | 16.3174i | 0.200952 | − | 1.13966i | ||||
\(206\) | 6.03513 | + | 10.4531i | 0.420487 | + | 0.728305i | ||||
\(207\) | −11.5619 | + | 7.66099i | −0.803606 | + | 0.532476i | ||||
\(208\) | −4.35125 | − | 2.51219i | −0.301705 | − | 0.174189i | ||||
\(209\) | 7.27024 | + | 6.10045i | 0.502893 | + | 0.421977i | ||||
\(210\) | 2.12679 | − | 15.3967i | 0.146762 | − | 1.06248i | ||||
\(211\) | 3.76549 | + | 21.3551i | 0.259227 | + | 1.47015i | 0.784985 | + | 0.619514i | \(0.212670\pi\) |
−0.525759 | + | 0.850634i | \(0.676218\pi\) | |||||||
\(212\) | −2.03515 | − | 2.42540i | −0.139775 | − | 0.166577i | ||||
\(213\) | −5.53285 | + | 16.7931i | −0.379105 | + | 1.15064i | ||||
\(214\) | −5.97783 | + | 2.17575i | −0.408636 | + | 0.148731i | ||||
\(215\) | −28.7257 | −1.95908 | ||||||||
\(216\) | −0.479354 | − | 5.17399i | −0.0326159 | − | 0.352046i | ||||
\(217\) | 17.4024 | + | 14.4114i | 1.18135 | + | 0.978307i | ||||
\(218\) | 1.55413 | + | 4.26994i | 0.105259 | + | 0.289197i | ||||
\(219\) | 2.66877 | − | 0.555805i | 0.180339 | − | 0.0375578i | ||||
\(220\) | 12.8888 | + | 15.3602i | 0.868960 | + | 1.03559i | ||||
\(221\) | −8.84264 | + | 1.55920i | −0.594820 | + | 0.104883i | ||||
\(222\) | 0.322891 | + | 10.4821i | 0.0216710 | + | 0.703510i | ||||
\(223\) | −12.6316 | + | 15.0537i | −0.845874 | + | 1.00807i | 0.153927 | + | 0.988082i | \(0.450808\pi\) |
−0.999800 | + | 0.0199906i | \(0.993636\pi\) | |||||||
\(224\) | −2.48028 | + | 0.920979i | −0.165721 | + | 0.0615355i | ||||
\(225\) | 4.56448 | + | 18.9704i | 0.304298 | + | 1.26470i | ||||
\(226\) | 7.03275 | + | 12.1811i | 0.467811 | + | 0.810273i | ||||
\(227\) | −1.95774 | + | 11.1029i | −0.129940 | + | 0.736924i | 0.848311 | + | 0.529498i | \(0.177620\pi\) |
−0.978251 | + | 0.207426i | \(0.933491\pi\) | |||||||
\(228\) | 1.72089 | − | 2.18407i | 0.113969 | − | 0.144643i | ||||
\(229\) | −4.81100 | + | 13.2181i | −0.317920 | + | 0.873478i | 0.673074 | + | 0.739575i | \(0.264973\pi\) |
−0.990994 | + | 0.133903i | \(0.957249\pi\) | |||||||
\(230\) | −14.7351 | − | 5.36315i | −0.971606 | − | 0.353636i | ||||
\(231\) | 20.0899 | − | 18.1751i | 1.32182 | − | 1.19584i | ||||
\(232\) | −0.0682670 | + | 0.387162i | −0.00448195 | + | 0.0254184i | ||||
\(233\) | 5.82309 | − | 3.36196i | 0.381483 | − | 0.220250i | −0.296980 | − | 0.954884i | \(-0.595980\pi\) |
0.678463 | + | 0.734634i | \(0.262646\pi\) | |||||||
\(234\) | 1.69881 | − | 14.9771i | 0.111055 | − | 0.979085i | ||||
\(235\) | 9.25912 | − | 16.0373i | 0.603999 | − | 1.04616i | ||||
\(236\) | −4.02194 | − | 3.37481i | −0.261806 | − | 0.219682i | ||||
\(237\) | 10.7321 | − | 19.9855i | 0.697128 | − | 1.29820i | ||||
\(238\) | −2.33754 | + | 4.10997i | −0.151520 | + | 0.266410i | ||||
\(239\) | 13.2190 | + | 15.7538i | 0.855064 | + | 1.01903i | 0.999564 | + | 0.0295212i | \(0.00939824\pi\) |
−0.144500 | + | 0.989505i | \(0.546157\pi\) | |||||||
\(240\) | 4.38186 | − | 3.91294i | 0.282848 | − | 0.252579i | ||||
\(241\) | −7.91792 | − | 21.7543i | −0.510038 | − | 1.40132i | −0.881197 | − | 0.472749i | \(-0.843262\pi\) |
0.371159 | − | 0.928569i | \(-0.378961\pi\) | |||||||
\(242\) | 23.9495i | 1.53953i | ||||||||
\(243\) | 13.6574 | − | 7.51503i | 0.876122 | − | 0.482089i | ||||
\(244\) | − | 4.28919i | − | 0.274587i | ||||||
\(245\) | −12.1364 | − | 20.4059i | −0.775365 | − | 1.30369i | ||||
\(246\) | −5.63581 | − | 6.31120i | −0.359326 | − | 0.402387i | ||||
\(247\) | 6.17890 | − | 5.18471i | 0.393154 | − | 0.329895i | ||||
\(248\) | 1.48297 | + | 8.41034i | 0.0941687 | + | 0.534057i | ||||
\(249\) | 4.03257 | − | 7.50950i | 0.255554 | − | 0.475895i | ||||
\(250\) | −3.27886 | + | 3.90760i | −0.207373 | + | 0.247138i | ||||
\(251\) | 10.9424 | − | 18.9528i | 0.690679 | − | 1.19629i | −0.280937 | − | 0.959726i | \(-0.590645\pi\) |
0.971616 | − | 0.236564i | \(-0.0760214\pi\) | |||||||
\(252\) | −5.50368 | − | 5.71922i | −0.346699 | − | 0.360277i | ||||
\(253\) | −13.6658 | − | 23.6699i | −0.859162 | − | 1.48811i | ||||
\(254\) | −20.3984 | − | 3.59679i | −1.27991 | − | 0.225682i | ||||
\(255\) | 1.50386 | − | 10.3903i | 0.0941756 | − | 0.650668i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 9.38249 | + | 3.41495i | 0.585264 | + | 0.213019i | 0.617645 | − | 0.786457i | \(-0.288087\pi\) |
−0.0323813 | + | 0.999476i | \(0.510309\pi\) | |||||||
\(258\) | −9.07876 | + | 11.5223i | −0.565219 | + | 0.717347i | ||||
\(259\) | 10.3762 | + | 12.2045i | 0.644745 | + | 0.758351i | ||||
\(260\) | 14.7583 | − | 8.52072i | 0.915272 | − | 0.528433i | ||||
\(261\) | −1.14668 | + | 0.275902i | −0.0709775 | + | 0.0170779i | ||||
\(262\) | −4.79606 | − | 2.76901i | −0.296302 | − | 0.171070i | ||||
\(263\) | 11.3621 | − | 13.5408i | 0.700616 | − | 0.834961i | −0.291980 | − | 0.956424i | \(-0.594314\pi\) |
0.992596 | + | 0.121463i | \(0.0387586\pi\) | |||||||
\(264\) | 10.2347 | − | 0.315271i | 0.629902 | − | 0.0194036i | ||||
\(265\) | 10.5756 | − | 1.86476i | 0.649653 | − | 0.114551i | ||||
\(266\) | −0.0275015 | − | 4.24731i | −0.00168623 | − | 0.260419i | ||||
\(267\) | −0.269674 | − | 1.29488i | −0.0165038 | − | 0.0792452i | ||||
\(268\) | 10.1189 | − | 3.68299i | 0.618113 | − | 0.224975i | ||||
\(269\) | −23.7183 | −1.44613 | −0.723065 | − | 0.690780i | \(-0.757267\pi\) | ||||
−0.723065 | + | 0.690780i | \(0.757267\pi\) | |||||||
\(270\) | 16.0107 | + | 7.36641i | 0.974380 | + | 0.448306i | ||||
\(271\) | − | 7.59459i | − | 0.461339i | −0.973032 | − | 0.230669i | \(-0.925908\pi\) | ||
0.973032 | − | 0.230669i | \(-0.0740915\pi\) | |||||||
\(272\) | −1.67932 | + | 0.611222i | −0.101824 | + | 0.0370608i | ||||
\(273\) | −12.2473 | − | 19.4971i | −0.741240 | − | 1.18002i | ||||
\(274\) | −0.984746 | + | 0.826300i | −0.0594907 | + | 0.0499186i | ||||
\(275\) | −37.8659 | + | 6.67679i | −2.28340 | + | 0.402625i | ||||
\(276\) | −6.80827 | + | 4.21545i | −0.409810 | + | 0.253740i | ||||
\(277\) | −0.314131 | − | 0.263587i | −0.0188743 | − | 0.0158374i | 0.633302 | − | 0.773905i | \(-0.281699\pi\) |
−0.652176 | + | 0.758068i | \(0.726144\pi\) | |||||||
\(278\) | −6.03736 | + | 10.4570i | −0.362097 | + | 0.627170i | ||||
\(279\) | −21.3573 | + | 14.1515i | −1.27863 | + | 0.847228i | ||||
\(280\) | 1.50102 | − | 8.84729i | 0.0897029 | − | 0.528727i | ||||
\(281\) | −0.919047 | − | 0.162053i | −0.0548257 | − | 0.00966726i | 0.146168 | − | 0.989260i | \(-0.453306\pi\) |
−0.200994 | + | 0.979593i | \(0.564417\pi\) | |||||||
\(282\) | −3.50644 | − | 8.78254i | −0.208805 | − | 0.522993i | ||||
\(283\) | 1.62474 | − | 4.46394i | 0.0965808 | − | 0.265354i | −0.881989 | − | 0.471271i | \(-0.843795\pi\) |
0.978569 | + | 0.205917i | \(0.0660177\pi\) | |||||||
\(284\) | −3.49140 | + | 9.59254i | −0.207176 | + | 0.569212i | ||||
\(285\) | 3.49693 | + | 8.75874i | 0.207140 | + | 0.518823i | ||||
\(286\) | 29.2519 | + | 5.15791i | 1.72970 | + | 0.304993i | ||||
\(287\) | −12.7428 | − | 2.16191i | −0.752181 | − | 0.127614i | ||||
\(288\) | −0.184650 | − | 2.99431i | −0.0108806 | − | 0.176442i | ||||
\(289\) | 6.90315 | − | 11.9566i | 0.406067 | − | 0.703329i | ||||
\(290\) | −1.02145 | − | 0.857100i | −0.0599817 | − | 0.0503307i | ||||
\(291\) | −10.1284 | + | 6.27115i | −0.593737 | + | 0.367622i | ||||
\(292\) | 1.54997 | − | 0.273301i | 0.0907049 | − | 0.0159937i | ||||
\(293\) | 19.8636 | − | 16.6675i | 1.16044 | − | 0.973727i | 0.160531 | − | 0.987031i | \(-0.448679\pi\) |
0.999911 | + | 0.0133043i | \(0.00423502\pi\) | |||||||
\(294\) | −12.0208 | − | 1.58121i | −0.701068 | − | 0.0922181i | ||||
\(295\) | 16.7337 | − | 6.09056i | 0.974272 | − | 0.354606i | ||||
\(296\) | 6.05469i | 0.351922i | ||||||||
\(297\) | 13.1245 | + | 27.7738i | 0.761563 | + | 1.61160i | ||||
\(298\) | −9.10595 | −0.527494 | ||||||||
\(299\) | −21.8280 | + | 7.94474i | −1.26234 | + | 0.459456i | ||||
\(300\) | 2.29683 | + | 11.0285i | 0.132607 | + | 0.636733i | ||||
\(301\) | 0.145088 | + | 22.4072i | 0.00836271 | + | 1.29153i | ||||
\(302\) | 11.6082 | − | 2.04684i | 0.667977 | − | 0.117782i | ||||
\(303\) | −2.84341 | + | 0.0875888i | −0.163350 | + | 0.00503185i | ||||
\(304\) | 1.03191 | − | 1.22978i | 0.0591841 | − | 0.0705329i | ||||
\(305\) | 12.5988 | + | 7.27392i | 0.721405 | + | 0.416503i | ||||
\(306\) | −3.69242 | − | 3.88708i | −0.211081 | − | 0.222210i | ||||
\(307\) | −11.3241 | + | 6.53797i | −0.646300 | + | 0.373142i | −0.787037 | − | 0.616905i | \(-0.788386\pi\) |
0.140737 | + | 0.990047i | \(0.455053\pi\) | |||||||
\(308\) | 11.9165 | − | 10.1313i | 0.679005 | − | 0.577286i | ||||
\(309\) | −12.9388 | + | 16.4213i | −0.736065 | + | 0.934176i | ||||
\(310\) | −27.2189 | − | 9.90689i | −1.54593 | − | 0.562673i | ||||
\(311\) | −15.8107 | − | 5.75464i | −0.896545 | − | 0.326316i | −0.147677 | − | 0.989036i | \(-0.547180\pi\) |
−0.748867 | + | 0.662720i | \(0.769402\pi\) | |||||||
\(312\) | 1.24658 | − | 8.61275i | 0.0705737 | − | 0.487601i | ||||
\(313\) | −3.78665 | − | 0.667688i | −0.214034 | − | 0.0377400i | 0.0656029 | − | 0.997846i | \(-0.479103\pi\) |
−0.279637 | + | 0.960106i | \(0.590214\pi\) | |||||||
\(314\) | −4.97485 | − | 8.61669i | −0.280747 | − | 0.486268i | ||||
\(315\) | 26.1328 | − | 6.46711i | 1.47242 | − | 0.364380i | ||||
\(316\) | 6.54854 | − | 11.3424i | 0.368384 | − | 0.638060i | ||||
\(317\) | −4.08949 | + | 4.87367i | −0.229689 | + | 0.273732i | −0.868563 | − | 0.495579i | \(-0.834956\pi\) |
0.638874 | + | 0.769311i | \(0.279400\pi\) | |||||||
\(318\) | 2.59443 | − | 4.83137i | 0.145488 | − | 0.270930i | ||||
\(319\) | −0.403581 | − | 2.28882i | −0.0225962 | − | 0.128150i | ||||
\(320\) | 2.59823 | − | 2.18017i | 0.145245 | − | 0.121875i | ||||
\(321\) | −7.33901 | − | 8.21851i | −0.409623 | − | 0.458712i | ||||
\(322\) | −4.10904 | + | 11.5211i | −0.228988 | + | 0.642044i | ||||
\(323\) | − | 2.86894i | − | 0.159632i | ||||||
\(324\) | 8.01495 | − | 4.09397i | 0.445275 | − | 0.227443i | ||||
\(325\) | 32.6783i | 1.81267i | ||||||||
\(326\) | 0.696780 | + | 1.91439i | 0.0385911 | + | 0.106028i | ||||
\(327\) | −5.87045 | + | 5.24222i | −0.324636 | + | 0.289896i | ||||
\(328\) | −3.14010 | − | 3.74223i | −0.173383 | − | 0.206630i | ||||
\(329\) | −12.5565 | − | 7.14148i | −0.692260 | − | 0.393722i | ||||
\(330\) | −16.4307 | + | 30.5974i | −0.904480 | + | 1.68433i | ||||
\(331\) | −1.60830 | − | 1.34953i | −0.0884004 | − | 0.0741767i | 0.597517 | − | 0.801857i | \(-0.296154\pi\) |
−0.685917 | + | 0.727680i | \(0.740599\pi\) | |||||||
\(332\) | 2.46059 | − | 4.26187i | 0.135042 | − | 0.233900i | ||||
\(333\) | −16.6539 | + | 7.25127i | −0.912629 | + | 0.397367i | ||||
\(334\) | 12.6058 | − | 7.27796i | 0.689759 | − | 0.398232i | ||||
\(335\) | −6.34224 | + | 35.9687i | −0.346514 | + | 1.96518i | ||||
\(336\) | −3.07438 | − | 3.39826i | −0.167721 | − | 0.185390i | ||||
\(337\) | −4.75287 | − | 1.72990i | −0.258905 | − | 0.0942338i | 0.209307 | − | 0.977850i | \(-0.432879\pi\) |
−0.468212 | + | 0.883616i | \(0.655102\pi\) | |||||||
\(338\) | 4.18785 | − | 11.5060i | 0.227789 | − | 0.625845i | ||||
\(339\) | −15.0777 | + | 19.1358i | −0.818906 | + | 1.03931i | ||||
\(340\) | 1.05255 | − | 5.96929i | 0.0570823 | − | 0.323730i | ||||
\(341\) | −25.2437 | − | 43.7233i | −1.36702 | − | 2.36775i | ||||
\(342\) | 4.61846 | + | 1.36553i | 0.249738 | + | 0.0738392i | ||||
\(343\) | −15.8561 | + | 9.56992i | −0.856150 | + | 0.516727i | ||||
\(344\) | −5.44396 | + | 6.48786i | −0.293519 | + | 0.349802i | ||||
\(345\) | −0.836242 | − | 27.1471i | −0.0450217 | − | 1.46155i | ||||
\(346\) | 14.2220 | − | 2.50773i | 0.764582 | − | 0.134816i | ||||
\(347\) | 9.92985 | + | 11.8339i | 0.533062 | + | 0.635279i | 0.963617 | − | 0.267285i | \(-0.0861266\pi\) |
−0.430555 | + | 0.902564i | \(0.641682\pi\) | |||||||
\(348\) | −0.666625 | + | 0.138833i | −0.0357348 | + | 0.00744222i | ||||
\(349\) | 7.10042 | + | 19.5083i | 0.380077 | + | 1.04425i | 0.971323 | + | 0.237762i | \(0.0764139\pi\) |
−0.591246 | + | 0.806491i | \(0.701364\pi\) | |||||||
\(350\) | 13.2533 | + | 10.9754i | 0.708419 | + | 0.586659i | ||||
\(351\) | 25.1830 | − | 6.88605i | 1.34417 | − | 0.367550i | ||||
\(352\) | 5.91181 | 0.315100 | ||||||||
\(353\) | 29.0492 | − | 10.5731i | 1.54614 | − | 0.562747i | 0.578628 | − | 0.815591i | \(-0.303588\pi\) |
0.967507 | + | 0.252844i | \(0.0813660\pi\) | |||||||
\(354\) | 2.84566 | − | 8.63704i | 0.151245 | − | 0.459053i | ||||
\(355\) | −22.2556 | − | 26.5231i | −1.18120 | − | 1.40770i | ||||
\(356\) | −0.132604 | − | 0.752037i | −0.00702802 | − | 0.0398579i | ||||
\(357\) | −8.11247 | − | 1.12059i | −0.429357 | − | 0.0593081i | ||||
\(358\) | 18.8502 | + | 15.8172i | 0.996262 | + | 0.835963i | ||||
\(359\) | 0.0115214 | + | 0.00665186i | 0.000608074 | + | 0.000351072i | 0.500304 | − | 0.865850i | \(-0.333222\pi\) |
−0.499696 | + | 0.866201i | \(0.666555\pi\) | |||||||
\(360\) | 9.10845 | + | 4.53560i | 0.480058 | + | 0.239047i | ||||
\(361\) | −8.21140 | − | 14.2226i | −0.432179 | − | 0.748556i | ||||
\(362\) | −1.33234 | + | 7.55605i | −0.0700260 | + | 0.397137i | ||||
\(363\) | −38.5247 | + | 15.3810i | −2.02202 | + | 0.807294i | ||||
\(364\) | −6.72104 | − | 11.4690i | −0.352278 | − | 0.601141i | ||||
\(365\) | −1.82577 | + | 5.01626i | −0.0955651 | + | 0.262563i | ||||
\(366\) | 6.89952 | − | 2.75464i | 0.360644 | − | 0.143987i | ||||
\(367\) | 3.00138 | + | 0.529224i | 0.156671 | + | 0.0276253i | 0.251433 | − | 0.967875i | \(-0.419098\pi\) |
−0.0947626 | + | 0.995500i | \(0.530209\pi\) | |||||||
\(368\) | −4.00383 | + | 2.31161i | −0.208714 | + | 0.120501i | ||||
\(369\) | 6.53262 | − | 13.1189i | 0.340074 | − | 0.682943i | ||||
\(370\) | −17.7847 | − | 10.2680i | −0.924582 | − | 0.533807i | ||||
\(371\) | −1.50800 | − | 8.23995i | −0.0782915 | − | 0.427797i | ||||
\(372\) | −12.5763 | + | 7.78684i | −0.652053 | + | 0.403729i | ||||
\(373\) | 4.45776 | + | 25.2812i | 0.230814 | + | 1.30901i | 0.851253 | + | 0.524756i | \(0.175843\pi\) |
−0.620439 | + | 0.784255i | \(0.713046\pi\) | |||||||
\(374\) | 8.09323 | − | 6.79102i | 0.418491 | − | 0.351155i | ||||
\(375\) | −8.39148 | − | 2.76476i | −0.433334 | − | 0.142771i | ||||
\(376\) | −1.86736 | − | 5.13053i | −0.0963017 | − | 0.264587i | ||||
\(377\) | −1.97526 | −0.101731 | ||||||||
\(378\) | 5.66523 | − | 12.5262i | 0.291388 | − | 0.644277i | ||||
\(379\) | −24.4008 | −1.25338 | −0.626692 | − | 0.779267i | \(-0.715591\pi\) | ||||
−0.626692 | + | 0.779267i | \(0.715591\pi\) | |||||||
\(380\) | 1.86230 | + | 5.11662i | 0.0955339 | + | 0.262477i | ||||
\(381\) | −7.31469 | − | 35.1225i | −0.374743 | − | 1.79938i | ||||
\(382\) | −20.5258 | + | 17.2232i | −1.05019 | + | 0.881216i | ||||
\(383\) | 5.57597 | + | 31.6229i | 0.284919 | + | 1.61586i | 0.705575 | + | 0.708635i | \(0.250689\pi\) |
−0.420656 | + | 0.907220i | \(0.638200\pi\) | |||||||
\(384\) | −0.0533290 | − | 1.73123i | −0.00272143 | − | 0.0883464i | ||||
\(385\) | 9.55028 | + | 52.1842i | 0.486727 | + | 2.65955i | ||||
\(386\) | −1.90755 | − | 1.10133i | −0.0970919 | − | 0.0560560i | ||||
\(387\) | −24.3652 | − | 7.20400i | −1.23855 | − | 0.366200i | ||||
\(388\) | −5.95633 | + | 3.43889i | −0.302387 | + | 0.174583i | ||||
\(389\) | 7.82218 | + | 1.37926i | 0.396600 | + | 0.0699313i | 0.368392 | − | 0.929671i | \(-0.379909\pi\) |
0.0282088 | + | 0.999602i | \(0.491020\pi\) | |||||||
\(390\) | 23.1845 | + | 18.2678i | 1.17399 | + | 0.925024i | ||||
\(391\) | −2.82582 | + | 7.76387i | −0.142908 | + | 0.392636i | ||||
\(392\) | −6.90882 | − | 1.12617i | −0.348948 | − | 0.0568800i | ||||
\(393\) | 1.37402 | − | 9.49320i | 0.0693099 | − | 0.478869i | ||||
\(394\) | 1.44992 | − | 8.22291i | 0.0730459 | − | 0.414264i | ||||
\(395\) | 22.2110 | + | 38.4706i | 1.11756 | + | 1.93566i | ||||
\(396\) | 7.08015 | + | 16.2609i | 0.355791 | + | 0.817141i | ||||
\(397\) | 11.0476 | + | 6.37836i | 0.554465 | + | 0.320121i | 0.750921 | − | 0.660392i | \(-0.229610\pi\) |
−0.196456 | + | 0.980513i | \(0.562943\pi\) | |||||||
\(398\) | 11.7300 | + | 9.84266i | 0.587973 | + | 0.493368i | ||||
\(399\) | 6.81450 | − | 2.77198i | 0.341152 | − | 0.138773i | ||||
\(400\) | 1.12940 | + | 6.40514i | 0.0564699 | + | 0.320257i | ||||
\(401\) | 0.333197 | + | 0.397088i | 0.0166390 | + | 0.0198296i | 0.774300 | − | 0.632819i | \(-0.218102\pi\) |
−0.757661 | + | 0.652649i | \(0.773658\pi\) | |||||||
\(402\) | 12.4231 | + | 13.9118i | 0.619607 | + | 0.693860i | ||||
\(403\) | −40.3210 | + | 14.6756i | −2.00853 | + | 0.731045i | ||||
\(404\) | −1.64242 | −0.0817136 | ||||||||
\(405\) | −1.56697 | + | 30.4855i | −0.0778634 | + | 1.51484i | ||||
\(406\) | −0.663413 | + | 0.801102i | −0.0329246 | + | 0.0397580i | ||||
\(407\) | −12.2423 | − | 33.6355i | −0.606830 | − | 1.66725i | ||||
\(408\) | −2.06171 | − | 2.30878i | −0.102070 | − | 0.114302i | ||||
\(409\) | −4.06920 | − | 4.84948i | −0.201209 | − | 0.239791i | 0.655999 | − | 0.754761i | \(-0.272247\pi\) |
−0.857208 | + | 0.514970i | \(0.827803\pi\) | |||||||
\(410\) | 16.3174 | − | 2.87720i | 0.805859 | − | 0.142095i | ||||
\(411\) | −1.96160 | − | 1.05337i | −0.0967588 | − | 0.0519591i | ||||
\(412\) | −7.75861 | + | 9.24635i | −0.382239 | + | 0.455535i | ||||
\(413\) | −4.83539 | − | 13.0222i | −0.237934 | − | 0.640779i | ||||
\(414\) | −11.1534 | − | 8.24440i | −0.548158 | − | 0.405190i | ||||
\(415\) | 8.34570 | + | 14.4552i | 0.409674 | + | 0.709577i | ||||
\(416\) | 0.872475 | − | 4.94805i | 0.0427766 | − | 0.242598i | ||||
\(417\) | −20.6983 | − | 2.99581i | −1.01360 | − | 0.146705i | ||||
\(418\) | −3.24598 | + | 8.91826i | −0.158766 | + | 0.436207i | ||||
\(419\) | 14.7613 | + | 5.37267i | 0.721136 | + | 0.262472i | 0.676408 | − | 0.736527i | \(-0.263536\pi\) |
0.0447282 | + | 0.998999i | \(0.485758\pi\) | |||||||
\(420\) | 15.1956 | − | 3.26747i | 0.741470 | − | 0.159436i | ||||
\(421\) | 5.62674 | − | 31.9108i | 0.274230 | − | 1.55524i | −0.467166 | − | 0.884170i | \(-0.654725\pi\) |
0.741396 | − | 0.671068i | \(-0.234164\pi\) | |||||||
\(422\) | −18.7794 | + | 10.8423i | −0.914166 | + | 0.527794i | ||||
\(423\) | 11.8755 | − | 11.2808i | 0.577408 | − | 0.548491i | ||||
\(424\) | 1.58307 | − | 2.74195i | 0.0768805 | − | 0.133161i | ||||
\(425\) | 8.90386 | + | 7.47123i | 0.431901 | + | 0.362408i | ||||
\(426\) | −17.6727 | + | 0.544391i | −0.856244 | + | 0.0263758i | ||||
\(427\) | 5.61031 | − | 9.86429i | 0.271502 | − | 0.477367i | ||||
\(428\) | −4.08907 | − | 4.87317i | −0.197653 | − | 0.235553i | ||||
\(429\) | 10.4895 | + | 50.3668i | 0.506438 | + | 2.43173i | ||||
\(430\) | −9.82478 | − | 26.9934i | −0.473793 | − | 1.30174i | ||||
\(431\) | − | 19.0894i | − | 0.919506i | −0.888047 | − | 0.459753i | \(-0.847938\pi\) | ||
0.888047 | − | 0.459753i | \(-0.152062\pi\) | |||||||
\(432\) | 4.69802 | − | 2.22006i | 0.226033 | − | 0.106813i | ||||
\(433\) | − | 6.39156i | − | 0.307159i | −0.988136 | − | 0.153579i | \(-0.950920\pi\) | ||
0.988136 | − | 0.153579i | \(-0.0490800\pi\) | |||||||
\(434\) | −7.59028 | + | 21.2819i | −0.364345 | + | 1.02156i | ||||
\(435\) | 0.722712 | − | 2.19355i | 0.0346514 | − | 0.105172i | ||||
\(436\) | −3.48088 | + | 2.92081i | −0.166704 | + | 0.139881i | ||||
\(437\) | −1.28881 | − | 7.30921i | −0.0616522 | − | 0.349647i | ||||
\(438\) | 1.43506 | + | 2.31773i | 0.0685698 | + | 0.110745i | ||||
\(439\) | 12.7631 | − | 15.2105i | 0.609150 | − | 0.725957i | −0.370014 | − | 0.929026i | \(-0.620647\pi\) |
0.979164 | + | 0.203069i | \(0.0650917\pi\) | |||||||
\(440\) | −10.0257 | + | 17.3650i | −0.477955 | + | 0.827843i | ||||
\(441\) | −5.17659 | − | 20.3520i | −0.246504 | − | 0.969142i | ||||
\(442\) | −4.48953 | − | 7.77609i | −0.213545 | − | 0.369871i | ||||
\(443\) | −29.6889 | − | 5.23496i | −1.41056 | − | 0.248721i | −0.584087 | − | 0.811691i | \(-0.698547\pi\) |
−0.826477 | + | 0.562970i | \(0.809659\pi\) | |||||||
\(444\) | −9.73948 | + | 3.88849i | −0.462215 | + | 0.184540i | ||||
\(445\) | 2.43387 | + | 0.885856i | 0.115376 | + | 0.0419936i | ||||
\(446\) | −18.4661 | − | 6.72113i | −0.874397 | − | 0.318255i | ||||
\(447\) | −5.84810 | − | 14.6477i | −0.276606 | − | 0.692812i | ||||
\(448\) | −1.71374 | − | 2.01571i | −0.0809668 | − | 0.0952333i | ||||
\(449\) | −15.0790 | + | 8.70584i | −0.711620 | + | 0.410854i | −0.811661 | − | 0.584129i | \(-0.801436\pi\) |
0.100040 | + | 0.994983i | \(0.468103\pi\) | |||||||
\(450\) | −16.2652 | + | 10.7775i | −0.766751 | + | 0.508055i | ||||
\(451\) | 25.0108 | + | 14.4400i | 1.17771 | + | 0.679952i | ||||
\(452\) | −9.04113 | + | 10.7748i | −0.425259 | + | 0.506804i | ||||
\(453\) | 10.7476 | + | 17.3582i | 0.504967 | + | 0.815560i | ||||
\(454\) | −11.1029 | + | 1.95774i | −0.521084 | + | 0.0918812i | ||||
\(455\) | 45.0865 | − | 0.291937i | 2.11369 | − | 0.0136862i | ||||
\(456\) | 2.64093 | + | 0.870113i | 0.123673 | + | 0.0407468i | ||||
\(457\) | 19.7002 | − | 7.17030i | 0.921538 | − | 0.335412i | 0.162688 | − | 0.986678i | \(-0.447984\pi\) |
0.758850 | + | 0.651265i | \(0.225761\pi\) | |||||||
\(458\) | −14.0664 | −0.657281 | ||||||||
\(459\) | 3.88133 | − | 8.43596i | 0.181165 | − | 0.393757i | ||||
\(460\) | − | 15.6808i | − | 0.731121i | ||||||
\(461\) | −10.2920 | + | 3.74598i | −0.479346 | + | 0.174468i | −0.570381 | − | 0.821380i | \(-0.693205\pi\) |
0.0910353 | + | 0.995848i | \(0.470982\pi\) | |||||||
\(462\) | 23.9502 | + | 12.6620i | 1.11426 | + | 0.589092i | ||||
\(463\) | 28.5593 | − | 23.9641i | 1.32726 | − | 1.11371i | 0.342555 | − | 0.939498i | \(-0.388708\pi\) |
0.984709 | − | 0.174209i | \(-0.0557367\pi\) | |||||||
\(464\) | −0.387162 | + | 0.0682670i | −0.0179735 | + | 0.00316922i | ||||
\(465\) | −1.54472 | − | 50.1465i | −0.0716346 | − | 2.32549i | ||||
\(466\) | 5.15083 | + | 4.32206i | 0.238607 | + | 0.200215i | ||||
\(467\) | −12.5094 | + | 21.6670i | −0.578867 | + | 1.00263i | 0.416743 | + | 0.909025i | \(0.363172\pi\) |
−0.995610 | + | 0.0936026i | \(0.970162\pi\) | |||||||
\(468\) | 14.6549 | − | 3.52612i | 0.677424 | − | 0.162995i | ||||
\(469\) | 28.0890 | + | 4.76553i | 1.29703 | + | 0.220052i | ||||
\(470\) | 18.2369 | + | 3.21566i | 0.841206 | + | 0.148327i | ||||
\(471\) | 10.6657 | − | 13.5363i | 0.491448 | − | 0.623722i | ||||
\(472\) | 1.79570 | − | 4.93365i | 0.0826538 | − | 0.227089i | ||||
\(473\) | 17.1246 | − | 47.0494i | 0.787389 | − | 2.16333i | ||||
\(474\) | 22.4509 | + | 3.24946i | 1.03120 | + | 0.149253i | ||||
\(475\) | −10.2826 | − | 1.81310i | −0.471798 | − | 0.0831907i | ||||
\(476\) | −4.66159 | − | 0.790878i | −0.213664 | − | 0.0362498i | ||||
\(477\) | 9.43789 | + | 1.07051i | 0.432131 | + | 0.0490153i | ||||
\(478\) | −10.2825 | + | 17.8099i | −0.470312 | + | 0.814605i | ||||
\(479\) | −2.42248 | − | 2.03270i | −0.110686 | − | 0.0928765i | 0.585765 | − | 0.810481i | \(-0.300794\pi\) |
−0.696451 | + | 0.717604i | \(0.745239\pi\) | |||||||
\(480\) | 5.17565 | + | 2.77930i | 0.236235 | + | 0.126857i | ||||
\(481\) | −29.9589 | + | 5.28257i | −1.36601 | + | 0.240864i | ||||
\(482\) | 17.7343 | − | 14.8808i | 0.807774 | − | 0.677803i | ||||
\(483\) | −21.1716 | + | 0.789415i | −0.963339 | + | 0.0359196i | ||||
\(484\) | −22.5051 | + | 8.19120i | −1.02296 | + | 0.372327i | ||||
\(485\) | − | 23.3277i | − | 1.05926i | ||||||
\(486\) | 11.7329 | + | 10.2635i | 0.532216 | + | 0.465560i | ||||
\(487\) | −12.2791 | −0.556418 | −0.278209 | − | 0.960521i | \(-0.589741\pi\) | ||||
−0.278209 | + | 0.960521i | \(0.589741\pi\) | |||||||
\(488\) | 4.03052 | − | 1.46699i | 0.182453 | − | 0.0664074i | ||||
\(489\) | −2.63196 | + | 2.35030i | −0.119021 | + | 0.106284i | ||||
\(490\) | 15.0244 | − | 18.3837i | 0.678734 | − | 0.830491i | ||||
\(491\) | 6.68367 | − | 1.17851i | 0.301630 | − | 0.0531855i | −0.0207850 | − | 0.999784i | \(-0.506617\pi\) |
0.322415 | + | 0.946599i | \(0.395505\pi\) | |||||||
\(492\) | 4.00303 | − | 7.45448i | 0.180470 | − | 0.336074i | ||||
\(493\) | −0.451602 | + | 0.538198i | −0.0203391 | + | 0.0242392i | ||||
\(494\) | 6.98535 | + | 4.03299i | 0.314286 | + | 0.181453i | ||||
\(495\) | −59.7708 | − | 6.77961i | −2.68650 | − | 0.304721i | ||||
\(496\) | −7.39593 | + | 4.27004i | −0.332087 | + | 0.191731i | ||||
\(497\) | −20.5767 | + | 17.4942i | −0.922991 | + | 0.784721i | ||||
\(498\) | 8.43584 | + | 1.22098i | 0.378019 | + | 0.0547132i | ||||
\(499\) | −4.24722 | − | 1.54586i | −0.190132 | − | 0.0692022i | 0.245200 | − | 0.969473i | \(-0.421147\pi\) |
−0.435331 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(500\) | −4.79338 | − | 1.74465i | −0.214366 | − | 0.0780230i | ||||
\(501\) | 19.8030 | + | 15.6034i | 0.884734 | + | 0.697107i | ||||
\(502\) | 21.5523 | + | 3.80026i | 0.961928 | + | 0.169614i | ||||
\(503\) | 8.26199 | + | 14.3102i | 0.368384 | + | 0.638060i | 0.989313 | − | 0.145807i | \(-0.0465778\pi\) |
−0.620929 | + | 0.783867i | \(0.713245\pi\) | |||||||
\(504\) | 3.49194 | − | 7.12786i | 0.155543 | − | 0.317500i | ||||
\(505\) | 2.78534 | − | 4.82435i | 0.123946 | − | 0.214681i | ||||
\(506\) | 17.5684 | − | 20.9372i | 0.781011 | − | 0.930773i | ||||
\(507\) | 21.1980 | − | 0.652984i | 0.941434 | − | 0.0290001i | ||||
\(508\) | −3.59679 | − | 20.3984i | −0.159582 | − | 0.905032i | ||||
\(509\) | 12.0018 | − | 10.0707i | 0.531969 | − | 0.446375i | −0.336811 | − | 0.941572i | \(-0.609348\pi\) |
0.868781 | + | 0.495197i | \(0.164904\pi\) | |||||||
\(510\) | 10.2781 | − | 2.14054i | 0.455121 | − | 0.0947845i | ||||
\(511\) | 3.92210 | + | 1.39884i | 0.173504 | + | 0.0618809i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0.769540 | + | 8.30616i | 0.0339760 | + | 0.366726i | ||||
\(514\) | 9.98464i | 0.440404i | ||||||||
\(515\) | −14.0021 | − | 38.4703i | −0.617004 | − | 1.69520i | ||||
\(516\) | −13.9325 | − | 4.59038i | −0.613346 | − | 0.202080i | ||||
\(517\) | 20.7474 | + | 24.7258i | 0.912470 | + | 1.08744i | ||||
\(518\) | −7.91961 | + | 13.9246i | −0.347968 | + | 0.611812i | ||||
\(519\) | 13.1677 | + | 21.2668i | 0.577998 | + | 0.933510i | ||||
\(520\) | 13.0545 | + | 10.9540i | 0.572478 | + | 0.480366i | ||||
\(521\) | 0.635723 | − | 1.10110i | 0.0278515 | − | 0.0482403i | −0.851764 | − | 0.523926i | \(-0.824467\pi\) |
0.879615 | + | 0.475686i | \(0.157800\pi\) | |||||||
\(522\) | −0.651450 | − | 0.983160i | −0.0285132 | − | 0.0430317i | ||||
\(523\) | −12.9025 | + | 7.44924i | −0.564186 | + | 0.325733i | −0.754824 | − | 0.655928i | \(-0.772278\pi\) |
0.190638 | + | 0.981660i | \(0.438944\pi\) | |||||||
\(524\) | 0.961666 | − | 5.45388i | 0.0420106 | − | 0.238254i | ||||
\(525\) | −9.14320 | + | 28.3678i | −0.399042 | + | 1.23807i | ||||
\(526\) | 16.6102 | + | 6.04564i | 0.724241 | + | 0.263602i | ||||
\(527\) | −5.21989 | + | 14.3415i | −0.227382 | + | 0.624727i | ||||
\(528\) | 3.79673 | + | 9.50964i | 0.165231 | + | 0.413854i | ||||
\(529\) | 0.282318 | − | 1.60110i | 0.0122747 | − | 0.0696132i | ||||
\(530\) | 5.36936 | + | 9.30001i | 0.233230 | + | 0.403967i | ||||
\(531\) | 15.7210 | − | 0.969461i | 0.682232 | − | 0.0420710i | ||||
\(532\) | 3.98176 | − | 1.47851i | 0.172631 | − | 0.0641015i | ||||
\(533\) | 15.7771 | − | 18.8024i | 0.683381 | − | 0.814422i | ||||
\(534\) | 1.12455 | − | 0.696285i | 0.0486642 | − | 0.0301312i | ||||
\(535\) | 21.2487 | − | 3.74672i | 0.918661 | − | 0.161985i | ||||
\(536\) | 6.92176 | + | 8.24904i | 0.298975 | + | 0.356304i | ||||
\(537\) | −13.3371 | + | 40.4803i | −0.575540 | + | 1.74685i | ||||
\(538\) | −8.11214 | − | 22.2879i | −0.349739 | − | 0.960900i | ||||
\(539\) | 40.6575 | − | 7.71316i | 1.75124 | − | 0.332229i | ||||
\(540\) | −1.44618 | + | 17.5646i | −0.0622338 | + | 0.755860i | ||||
\(541\) | −15.6445 | −0.672609 | −0.336304 | − | 0.941753i | \(-0.609177\pi\) | ||||
−0.336304 | + | 0.941753i | \(0.609177\pi\) | |||||||
\(542\) | 7.13658 | − | 2.59750i | 0.306542 | − | 0.111572i | ||||
\(543\) | −13.0102 | + | 2.70953i | −0.558321 | + | 0.116277i | ||||
\(544\) | −1.14872 | − | 1.36899i | −0.0492511 | − | 0.0586951i | ||||
\(545\) | −2.67627 | − | 15.1779i | −0.114639 | − | 0.650148i | ||||
\(546\) | 14.1325 | − | 18.1771i | 0.604814 | − | 0.777908i | ||||
\(547\) | 2.90719 | + | 2.43942i | 0.124302 | + | 0.104302i | 0.702820 | − | 0.711368i | \(-0.251924\pi\) |
−0.578517 | + | 0.815670i | \(0.696369\pi\) | |||||||
\(548\) | −1.11327 | − | 0.642747i | −0.0475566 | − | 0.0274568i | ||||
\(549\) | 8.86213 | + | 9.32935i | 0.378227 | + | 0.398167i | ||||
\(550\) | −19.2250 | − | 33.2987i | −0.819758 | − | 1.41986i | ||||
\(551\) | 0.109594 | − | 0.621536i | 0.00466884 | − | 0.0264783i | ||||
\(552\) | −6.28979 | − | 4.95591i | −0.267711 | − | 0.210938i | ||||
\(553\) | 29.8964 | − | 17.5197i | 1.27132 | − | 0.745015i | ||||
\(554\) | 0.140252 | − | 0.385338i | 0.00595872 | − | 0.0163715i | ||||
\(555\) | 5.09510 | − | 35.2026i | 0.216275 | − | 1.49427i | ||||
\(556\) | −11.8913 | − | 2.09675i | −0.504302 | − | 0.0889221i | ||||
\(557\) | 12.9923 | − | 7.50110i | 0.550500 | − | 0.317832i | −0.198823 | − | 0.980035i | \(-0.563712\pi\) |
0.749324 | + | 0.662204i | \(0.230379\pi\) | |||||||
\(558\) | −20.6027 | − | 15.2292i | −0.872180 | − | 0.644702i | ||||
\(559\) | −36.8520 | − | 21.2765i | −1.55867 | − | 0.899901i | ||||
\(560\) | 8.82711 | − | 1.61546i | 0.373014 | − | 0.0682656i | ||||
\(561\) | 16.1216 | + | 8.65725i | 0.680656 | + | 0.365509i | ||||
\(562\) | −0.162053 | − | 0.919047i | −0.00683578 | − | 0.0387677i | ||||
\(563\) | −12.1730 | + | 10.2144i | −0.513032 | + | 0.430485i | −0.862195 | − | 0.506577i | \(-0.830911\pi\) |
0.349163 | + | 0.937062i | \(0.386466\pi\) | |||||||
\(564\) | 7.05362 | − | 6.29878i | 0.297011 | − | 0.265226i | ||||
\(565\) | −16.3166 | − | 44.8295i | −0.686445 | − | 1.88599i | ||||
\(566\) | 4.75042 | 0.199675 | ||||||||
\(567\) | 23.7878 | + | 1.06832i | 0.998993 | + | 0.0448654i | ||||
\(568\) | −10.2082 | −0.428325 | ||||||||
\(569\) | 10.8568 | + | 29.8287i | 0.455139 | + | 1.25048i | 0.929064 | + | 0.369919i | \(0.120615\pi\) |
−0.473925 | + | 0.880565i | \(0.657163\pi\) | |||||||
\(570\) | −7.03450 | + | 6.28171i | −0.294643 | + | 0.263112i | ||||
\(571\) | 15.9869 | − | 13.4146i | 0.669031 | − | 0.561383i | −0.243748 | − | 0.969839i | \(-0.578377\pi\) |
0.912778 | + | 0.408455i | \(0.133932\pi\) | |||||||
\(572\) | 5.15791 | + | 29.2519i | 0.215663 | + | 1.22308i | ||||
\(573\) | −40.8873 | − | 21.9563i | −1.70809 | − | 0.917237i | ||||
\(574\) | −2.32674 | − | 12.7137i | −0.0971164 | − | 0.530659i | ||||
\(575\) | 26.0407 | + | 15.0346i | 1.08597 | + | 0.626986i | ||||
\(576\) | 2.75058 | − | 1.19763i | 0.114607 | − | 0.0499012i | ||||
\(577\) | −10.9520 | + | 6.32314i | −0.455938 | + | 0.263236i | −0.710335 | − | 0.703864i | \(-0.751456\pi\) |
0.254397 | + | 0.967100i | \(0.418123\pi\) | |||||||
\(578\) | 13.5965 | + | 2.39744i | 0.565542 | + | 0.0997203i | ||||
\(579\) | 0.546491 | − | 3.77576i | 0.0227114 | − | 0.156915i | ||||
\(580\) | 0.456054 | − | 1.25300i | 0.0189366 | − | 0.0520279i | ||||
\(581\) | 11.2335 | − | 6.58299i | 0.466042 | − | 0.273108i | ||||
\(582\) | −9.35707 | − | 7.37271i | −0.387863 | − | 0.305609i | ||||
\(583\) | −3.25027 | + | 18.4332i | −0.134613 | + | 0.763426i | ||||
\(584\) | 0.786939 | + | 1.36302i | 0.0325638 | + | 0.0564021i | ||||
\(585\) | −14.4955 | + | 49.0263i | −0.599314 | + | 2.02699i | ||||
\(586\) | 22.4561 | + | 12.9650i | 0.927652 | + | 0.535580i | ||||
\(587\) | −22.8987 | − | 19.2143i | −0.945131 | − | 0.793059i | 0.0333397 | − | 0.999444i | \(-0.489386\pi\) |
−0.978471 | + | 0.206385i | \(0.933830\pi\) | |||||||
\(588\) | −2.62551 | − | 11.8367i | −0.108274 | − | 0.488136i | ||||
\(589\) | −2.38071 | − | 13.5017i | −0.0980955 | − | 0.556327i | ||||
\(590\) | 11.4465 | + | 13.6414i | 0.471245 | + | 0.561608i | ||||
\(591\) | 14.1584 | − | 2.94867i | 0.582400 | − | 0.121292i | ||||
\(592\) | −5.68955 | + | 2.07083i | −0.233839 | + | 0.0851105i | ||||
\(593\) | 41.8483 | 1.71850 | 0.859252 | − | 0.511552i | \(-0.170929\pi\) | ||||
0.859252 | + | 0.511552i | \(0.170929\pi\) | |||||||
\(594\) | −21.6099 | + | 21.8322i | −0.886667 | + | 0.895787i | ||||
\(595\) | 10.2285 | − | 12.3515i | 0.419330 | − | 0.506360i | ||||
\(596\) | −3.11442 | − | 8.55680i | −0.127572 | − | 0.350500i | ||||
\(597\) | −8.29939 | + | 25.1900i | −0.339671 | + | 1.03096i | ||||
\(598\) | −14.9312 | − | 17.7943i | −0.610583 | − | 0.727665i | ||||
\(599\) | −2.11789 | + | 0.373441i | −0.0865347 | + | 0.0152584i | −0.216748 | − | 0.976228i | \(-0.569545\pi\) |
0.130213 | + | 0.991486i | \(0.458434\pi\) | |||||||
\(600\) | −9.57787 | + | 5.93029i | −0.391015 | + | 0.242103i | ||||
\(601\) | 11.7749 | − | 14.0328i | 0.480308 | − | 0.572409i | −0.470417 | − | 0.882444i | \(-0.655896\pi\) |
0.950725 | + | 0.310035i | \(0.100341\pi\) | |||||||
\(602\) | −21.0063 | + | 7.80005i | −0.856151 | + | 0.317906i | ||||
\(603\) | −14.3999 | + | 28.9181i | −0.586410 | + | 1.17764i | ||||
\(604\) | 5.89364 | + | 10.2081i | 0.239809 | + | 0.415361i | ||||
\(605\) | 14.1055 | − | 79.9964i | 0.573471 | − | 3.25232i | ||||
\(606\) | −1.05481 | − | 2.64198i | −0.0428488 | − | 0.107323i | ||||
\(607\) | −8.05702 | + | 22.1365i | −0.327024 | + | 0.898492i | 0.661836 | + | 0.749648i | \(0.269777\pi\) |
−0.988861 | + | 0.148844i | \(0.952445\pi\) | |||||||
\(608\) | 1.50855 | + | 0.549068i | 0.0611798 | + | 0.0222676i | ||||
\(609\) | −1.71470 | − | 0.552665i | −0.0694832 | − | 0.0223951i | ||||
\(610\) | −2.52621 | + | 14.3268i | −0.102283 | + | 0.580076i | ||||
\(611\) | 23.7569 | − | 13.7161i | 0.961102 | − | 0.554892i | ||||
\(612\) | 2.38978 | − | 4.79920i | 0.0966012 | − | 0.193996i | ||||
\(613\) | −19.6552 | + | 34.0438i | −0.793866 | + | 1.37502i | 0.129690 | + | 0.991555i | \(0.458602\pi\) |
−0.923556 | + | 0.383462i | \(0.874732\pi\) | |||||||
\(614\) | −10.0168 | − | 8.40505i | −0.404243 | − | 0.339200i | ||||
\(615\) | 15.1077 | + | 24.4001i | 0.609202 | + | 0.983907i | ||||
\(616\) | 13.5960 | + | 7.73271i | 0.547799 | + | 0.311560i | ||||
\(617\) | 19.5415 | + | 23.2886i | 0.786711 | + | 0.937565i | 0.999216 | − | 0.0395946i | \(-0.0126066\pi\) |
−0.212505 | + | 0.977160i | \(0.568162\pi\) | |||||||
\(618\) | −19.8563 | − | 6.54211i | −0.798739 | − | 0.263162i | ||||
\(619\) | −11.0590 | − | 30.3844i | −0.444499 | − | 1.22125i | −0.936503 | − | 0.350659i | \(-0.885958\pi\) |
0.492004 | − | 0.870593i | \(-0.336265\pi\) | |||||||
\(620\) | − | 28.9658i | − | 1.16329i | ||||||
\(621\) | 6.09879 | − | 23.2359i | 0.244736 | − | 0.932425i | ||||
\(622\) | − | 16.8254i | − | 0.674638i | ||||||
\(623\) | 0.678709 | − | 1.90299i | 0.0271919 | − | 0.0762416i | ||||
\(624\) | 8.51969 | − | 1.77433i | 0.341061 | − | 0.0710300i | ||||
\(625\) | −11.6580 | + | 9.78221i | −0.466319 | + | 0.391288i | ||||
\(626\) | −0.667688 | − | 3.78665i | −0.0266862 | − | 0.151345i | ||||
\(627\) | −16.4304 | + | 0.506125i | −0.656169 | + | 0.0202127i | ||||
\(628\) | 6.39554 | − | 7.62191i | 0.255210 | − | 0.304147i | ||||
\(629\) | −5.41015 | + | 9.37066i | −0.215717 | + | 0.373633i | ||||
\(630\) | 15.0151 | + | 22.3450i | 0.598214 | + | 0.890244i | ||||
\(631\) | 10.4957 | + | 18.1790i | 0.417826 | + | 0.723695i | 0.995720 | − | 0.0924158i | \(-0.0294589\pi\) |
−0.577895 | + | 0.816111i | \(0.696126\pi\) | |||||||
\(632\) | 12.8981 | + | 2.27428i | 0.513059 | + | 0.0904661i | ||||
\(633\) | −29.5014 | − | 23.2450i | −1.17257 | − | 0.923906i | ||||
\(634\) | −5.97844 | − | 2.17597i | −0.237434 | − | 0.0864189i | ||||
\(635\) | 66.0167 | + | 24.0281i | 2.61979 | + | 0.953526i | ||||
\(636\) | 5.42735 | + | 0.785537i | 0.215209 | + | 0.0311486i | ||||
\(637\) | −0.455444 | − | 35.1677i | −0.0180454 | − | 1.39340i | ||||
\(638\) | 2.01276 | − | 1.16207i | 0.0796859 | − | 0.0460066i | ||||
\(639\) | −12.2256 | − | 28.0784i | −0.483637 | − | 1.11076i | ||||
\(640\) | 2.93734 | + | 1.69587i | 0.116109 | + | 0.0670353i | ||||
\(641\) | −9.44214 | + | 11.2527i | −0.372942 | + | 0.444455i | −0.919573 | − | 0.392918i | \(-0.871466\pi\) |
0.546631 | + | 0.837373i | \(0.315910\pi\) | |||||||
\(642\) | 5.21278 | − | 9.70730i | 0.205732 | − | 0.383117i | ||||
\(643\) | −38.0576 | + | 6.71058i | −1.50084 | + | 0.264639i | −0.862873 | − | 0.505421i | \(-0.831337\pi\) |
−0.637971 | + | 0.770060i | \(0.720226\pi\) | |||||||
\(644\) | −12.2316 | + | 0.0792004i | −0.481994 | + | 0.00312093i | ||||
\(645\) | 37.1113 | − | 33.1399i | 1.46126 | − | 1.30488i | ||||
\(646\) | 2.69592 | − | 0.981236i | 0.106070 | − | 0.0386062i | ||||
\(647\) | 9.26330 | 0.364178 | 0.182089 | − | 0.983282i | \(-0.441714\pi\) | ||||
0.182089 | + | 0.983282i | \(0.441714\pi\) | |||||||
\(648\) | 6.58835 | + | 6.13137i | 0.258815 | + | 0.240863i | ||||
\(649\) | 31.0386i | 1.21837i | ||||||||
\(650\) | −30.7076 | + | 11.1766i | −1.20445 | + | 0.438384i | ||||
\(651\) | −39.1084 | + | 1.45822i | −1.53278 | + | 0.0571521i | ||||
\(652\) | −1.56062 | + | 1.30952i | −0.0611187 | + | 0.0512847i | ||||
\(653\) | 11.8096 | − | 2.08235i | 0.462145 | − | 0.0814887i | 0.0622722 | − | 0.998059i | \(-0.480165\pi\) |
0.399873 | + | 0.916571i | \(0.369054\pi\) | |||||||
\(654\) | −6.93389 | − | 3.72347i | −0.271136 | − | 0.145599i | ||||
\(655\) | 14.3890 | + | 12.0738i | 0.562226 | + | 0.471764i | ||||
\(656\) | 2.44257 | − | 4.23065i | 0.0953662 | − | 0.165179i | ||||
\(657\) | −2.80663 | + | 3.79693i | −0.109497 | + | 0.148132i | ||||
\(658\) | 2.41623 | − | 14.2417i | 0.0941945 | − | 0.555201i | ||||
\(659\) | 10.9123 | + | 1.92413i | 0.425083 | + | 0.0749536i | 0.382097 | − | 0.924122i | \(-0.375202\pi\) |
0.0429856 | + | 0.999076i | \(0.486313\pi\) | |||||||
\(660\) | −34.3718 | − | 4.97486i | −1.33792 | − | 0.193646i | ||||
\(661\) | 4.59265 | − | 12.6182i | 0.178633 | − | 0.490791i | −0.817768 | − | 0.575547i | \(-0.804789\pi\) |
0.996402 | + | 0.0847566i | \(0.0270113\pi\) | |||||||
\(662\) | 0.718069 | − | 1.97288i | 0.0279085 | − | 0.0766780i | ||||
\(663\) | 9.62519 | − | 12.2158i | 0.373811 | − | 0.474422i | ||||
\(664\) | 4.84642 | + | 0.854554i | 0.188078 | + | 0.0331631i | ||||
\(665\) | −2.40968 | + | 14.2031i | −0.0934434 | + | 0.550775i | ||||
\(666\) | −12.5099 | − | 13.1695i | −0.484750 | − | 0.510307i | ||||
\(667\) | −0.908773 | + | 1.57404i | −0.0351878 | + | 0.0609471i | ||||
\(668\) | 11.1505 | + | 9.35637i | 0.431425 | + | 0.362009i | ||||
\(669\) | −1.04798 | − | 34.0208i | −0.0405173 | − | 1.31532i | ||||
\(670\) | −35.9687 | + | 6.34224i | −1.38959 | + | 0.245022i | ||||
\(671\) | −19.4245 | + | 16.2991i | −0.749873 | + | 0.629218i | ||||
\(672\) | 2.14182 | − | 4.05125i | 0.0826226 | − | 0.156280i | ||||
\(673\) | −44.5338 | + | 16.2090i | −1.71665 | + | 0.624810i | −0.997541 | − | 0.0700856i | \(-0.977673\pi\) |
−0.719111 | + | 0.694896i | \(0.755451\pi\) | |||||||
\(674\) | − | 5.05790i | − | 0.194823i | ||||||
\(675\) | −27.7825 | − | 19.2424i | −1.06935 | − | 0.740640i | ||||
\(676\) | 12.2444 | 0.470940 | ||||||||
\(677\) | 36.7206 | − | 13.3652i | 1.41129 | − | 0.513666i | 0.479779 | − | 0.877389i | \(-0.340717\pi\) |
0.931507 | + | 0.363723i | \(0.118494\pi\) | |||||||
\(678\) | −23.1386 | − | 7.62353i | −0.888634 | − | 0.292780i | ||||
\(679\) | −18.1965 | + | 0.117823i | −0.698318 | + | 0.00452164i | ||||
\(680\) | 5.96929 | − | 1.05255i | 0.228912 | − | 0.0403633i | ||||
\(681\) | −10.2798 | − | 16.6026i | −0.393922 | − | 0.636213i | ||||
\(682\) | 32.4526 | − | 38.6755i | 1.24268 | − | 1.48096i | ||||
\(683\) | 5.14546 | + | 2.97073i | 0.196886 | + | 0.113672i | 0.595202 | − | 0.803576i | \(-0.297072\pi\) |
−0.398316 | + | 0.917248i | \(0.630405\pi\) | |||||||
\(684\) | 0.296430 | + | 4.80697i | 0.0113343 | + | 0.183799i | ||||
\(685\) | 3.77593 | − | 2.18004i | 0.144271 | − | 0.0832949i | ||||
\(686\) | −14.4159 | − | 11.6268i | −0.550401 | − | 0.443912i | ||||
\(687\) | −9.03386 | − | 22.6270i | −0.344663 | − | 0.863275i | ||||
\(688\) | −7.95854 | − | 2.89667i | −0.303417 | − | 0.110435i | ||||
\(689\) | 14.9485 | + | 5.44082i | 0.569493 | + | 0.207279i | ||||
\(690\) | 25.2239 | − | 10.0707i | 0.960257 | − | 0.383383i | ||||
\(691\) | 35.2625 | + | 6.21772i | 1.34145 | + | 0.236533i | 0.797872 | − | 0.602827i | \(-0.205959\pi\) |
0.543576 | + | 0.839360i | \(0.317070\pi\) | |||||||
\(692\) | 7.22072 | + | 12.5067i | 0.274491 | + | 0.475432i | ||||
\(693\) | −4.98648 | + | 46.6578i | −0.189421 | + | 1.77238i | ||||
\(694\) | −7.72405 | + | 13.3785i | −0.293201 | + | 0.507839i | ||||
\(695\) | 26.3250 | − | 31.3729i | 0.998563 | − | 1.19004i | ||||
\(696\) | −0.358459 | − | 0.578939i | −0.0135874 | − | 0.0219446i | ||||
\(697\) | −1.51598 | − | 8.59756i | −0.0574219 | − | 0.325656i | ||||
\(698\) | −15.9033 | + | 13.3444i | −0.601948 | + | 0.505094i | ||||
\(699\) | −3.64438 | + | 11.0613i | −0.137843 | + | 0.418376i | ||||
\(700\) | −5.78060 | + | 16.2078i | −0.218486 | + | 0.612599i | ||||
\(701\) | 23.7517i | 0.897089i | 0.893761 | + | 0.448544i | \(0.148057\pi\) | ||||
−0.893761 | + | 0.448544i | \(0.851943\pi\) | |||||||
\(702\) | 15.0839 | + | 21.3091i | 0.569304 | + | 0.804260i | ||||
\(703\) | − | 9.72000i | − | 0.366597i | ||||||
\(704\) | 2.02196 | + | 5.55528i | 0.0762054 | + | 0.209373i | ||||
\(705\) | 6.53960 | + | 31.4008i | 0.246296 | + | 1.18262i | ||||
\(706\) | 19.8709 | + | 23.6812i | 0.747849 | + | 0.891252i | ||||
\(707\) | −3.77725 | − | 2.14831i | −0.142058 | − | 0.0807955i | ||||
\(708\) | 9.08943 | − | 0.279992i | 0.341602 | − | 0.0105227i | ||||
\(709\) | 17.4693 | + | 14.6585i | 0.656073 | + | 0.550511i | 0.908907 | − | 0.416999i | \(-0.136918\pi\) |
−0.252834 | + | 0.967510i | \(0.581363\pi\) | |||||||
\(710\) | 17.3118 | − | 29.9848i | 0.649699 | − | 1.12531i | ||||
\(711\) | 9.19154 | + | 38.2010i | 0.344710 | + | 1.43265i | ||||
\(712\) | 0.661330 | − | 0.381819i | 0.0247844 | − | 0.0143093i | ||||
\(713\) | −6.85610 | + | 38.8829i | −0.256763 | + | 1.45618i | ||||
\(714\) | −1.72161 | − | 8.00649i | −0.0644298 | − | 0.299635i | ||||
\(715\) | −94.6700 | − | 34.4571i | −3.54046 | − | 1.28862i | ||||
\(716\) | −8.41614 | + | 23.1232i | −0.314526 | + | 0.864153i | ||||
\(717\) | −35.2524 | − | 5.10232i | −1.31653 | − | 0.190550i | ||||
\(718\) | −0.00231017 | + | 0.0131016i | −8.62147e−5 | + | 0.000488948i | ||||
\(719\) | −22.5456 | − | 39.0501i | −0.840808 | − | 1.45632i | −0.889212 | − | 0.457495i | \(-0.848747\pi\) |
0.0484037 | − | 0.998828i | \(-0.484587\pi\) | |||||||
\(720\) | −1.14679 | + | 10.1104i | −0.0427384 | + | 0.376793i | ||||
\(721\) | −29.9376 | + | 11.1165i | −1.11494 | + | 0.413998i | ||||
\(722\) | 10.5564 | − | 12.5806i | 0.392867 | − | 0.468201i | ||||
\(723\) | 35.3265 | + | 18.9702i | 1.31381 | + | 0.705509i | ||||
\(724\) | −7.55605 | + | 1.33234i | −0.280818 | + | 0.0495158i | ||||
\(725\) | 1.64356 | + | 1.95872i | 0.0610402 | + | 0.0727449i | ||||
\(726\) | −27.6297 | − | 30.9408i | −1.02543 | − | 1.14832i | ||||
\(727\) | 11.2011 | + | 30.7749i | 0.415428 | + | 1.14138i | 0.954263 | + | 0.298967i | \(0.0966421\pi\) |
−0.538836 | + | 0.842411i | \(0.681136\pi\) | |||||||
\(728\) | 8.47864 | − | 10.2384i | 0.314239 | − | 0.379459i | ||||
\(729\) | −8.97443 | + | 25.4649i | −0.332386 | + | 0.943143i | ||||
\(730\) | −5.33819 | −0.197575 | ||||||||
\(731\) | −14.2227 | + | 5.17663i | −0.526044 | + | 0.191465i | ||||
\(732\) | 4.94829 | + | 5.54128i | 0.182894 | + | 0.204812i | ||||
\(733\) | 20.5348 | + | 24.4724i | 0.758470 | + | 0.903909i | 0.997750 | − | 0.0670416i | \(-0.0213560\pi\) |
−0.239281 | + | 0.970950i | \(0.576912\pi\) | |||||||
\(734\) | 0.529224 | + | 3.00138i | 0.0195340 | + | 0.110783i | ||||
\(735\) | 39.2208 | + | 12.3615i | 1.44668 | + | 0.455961i | ||||
\(736\) | −3.54159 | − | 2.97175i | −0.130545 | − | 0.109540i | ||||
\(737\) | −55.1315 | − | 31.8302i | −2.03080 | − | 1.17248i | ||||
\(738\) | 14.5620 | + | 1.65172i | 0.536035 | + | 0.0608008i | ||||
\(739\) | 12.5266 | + | 21.6967i | 0.460799 | + | 0.798127i | 0.999001 | − | 0.0446889i | \(-0.0142297\pi\) |
−0.538202 | + | 0.842816i | \(0.680896\pi\) | |||||||
\(740\) | 3.56604 | − | 20.2240i | 0.131090 | − | 0.743449i | ||||
\(741\) | −2.00122 | + | 13.8266i | −0.0735166 | + | 0.507933i | ||||
\(742\) | 7.22725 | − | 4.23529i | 0.265321 | − | 0.155482i | ||||
\(743\) | −3.24557 | + | 8.91713i | −0.119068 | + | 0.327138i | −0.984881 | − | 0.173230i | \(-0.944580\pi\) |
0.865813 | + | 0.500368i | \(0.166802\pi\) | |||||||
\(744\) | −11.6186 | − | 9.15463i | −0.425958 | − | 0.335625i | ||||
\(745\) | 30.4159 | + | 5.36314i | 1.11435 | + | 0.196490i | ||||
\(746\) | −22.2319 | + | 12.8356i | −0.813968 | + | 0.469945i | ||||
\(747\) | 3.45369 | + | 14.3539i | 0.126364 | + | 0.525182i | ||||
\(748\) | 9.14952 | + | 5.28248i | 0.334540 | + | 0.193147i | ||||
\(749\) | −3.02991 | − | 16.5559i | −0.110711 | − | 0.604939i | ||||
\(750\) | −0.272032 | − | 8.83101i | −0.00993319 | − | 0.322463i | ||||
\(751\) | −5.68100 | − | 32.2186i | −0.207303 | − | 1.17567i | −0.893775 | − | 0.448516i | \(-0.851953\pi\) |
0.686472 | − | 0.727156i | \(-0.259158\pi\) | |||||||
\(752\) | 4.18245 | − | 3.50949i | 0.152518 | − | 0.127978i | ||||
\(753\) | 7.72849 | + | 37.1094i | 0.281642 | + | 1.35234i | ||||
\(754\) | −0.675578 | − | 1.85613i | −0.0246031 | − | 0.0675964i | ||||
\(755\) | −39.9794 | −1.45500 | ||||||||
\(756\) | 13.7084 | + | 1.03936i | 0.498569 | + | 0.0378013i | ||||
\(757\) | 10.1663 | 0.369500 | 0.184750 | − | 0.982786i | \(-0.440852\pi\) | ||||
0.184750 | + | 0.982786i | \(0.440852\pi\) | |||||||
\(758\) | −8.34555 | − | 22.9292i | −0.303124 | − | 0.832827i | ||||
\(759\) | 44.9622 | + | 14.8138i | 1.63203 | + | 0.537707i | ||||
\(760\) | −4.17111 | + | 3.49998i | −0.151302 | + | 0.126958i | ||||
\(761\) | −0.948028 | − | 5.37653i | −0.0343660 | − | 0.194899i | 0.962791 | − | 0.270245i | \(-0.0871049\pi\) |
−0.997157 | + | 0.0753464i | \(0.975994\pi\) | |||||||
\(762\) | 30.5026 | − | 18.8862i | 1.10499 | − | 0.684173i | ||||
\(763\) | −11.8258 | + | 2.16425i | −0.428123 | + | 0.0783512i | ||||
\(764\) | −23.2048 | − | 13.3973i | −0.839519 | − | 0.484697i | ||||
\(765\) | 10.0441 | + | 15.1584i | 0.363145 | + | 0.548054i | ||||
\(766\) | −27.8087 | + | 16.0554i | −1.00477 | + | 0.580104i | ||||
\(767\) | 25.9786 | + | 4.58074i | 0.938035 | + | 0.165401i | ||||
\(768\) | 1.60858 | − | 0.642228i | 0.0580448 | − | 0.0231744i | ||||
\(769\) | 11.5799 | − | 31.8156i | 0.417583 | − | 1.14730i | −0.535486 | − | 0.844544i | \(-0.679871\pi\) |
0.953068 | − | 0.302755i | \(-0.0979064\pi\) | |||||||
\(770\) | −45.7707 | + | 26.8224i | −1.64946 | + | 0.966611i | ||||
\(771\) | −16.0611 | + | 6.41242i | −0.578428 | + | 0.230938i | ||||
\(772\) | 0.382486 | − | 2.16919i | 0.0137660 | − | 0.0780708i | ||||
\(773\) | 26.3939 | + | 45.7155i | 0.949322 | + | 1.64427i | 0.746858 | + | 0.664984i | \(0.231562\pi\) |
0.202464 | + | 0.979290i | \(0.435105\pi\) | |||||||
\(774\) | −1.56385 | − | 25.3597i | −0.0562115 | − | 0.911537i | ||||
\(775\) | 48.1027 | + | 27.7721i | 1.72790 | + | 0.997604i | ||||
\(776\) | −5.26869 | − | 4.42095i | −0.189135 | − | 0.158703i | ||||
\(777\) | −27.4851 | − | 3.79658i | −0.986023 | − | 0.136202i | ||||
\(778\) | 1.37926 | + | 7.82218i | 0.0494489 | + | 0.280439i | ||||
\(779\) | 5.04102 | + | 6.00765i | 0.180613 | + | 0.215246i | ||||
\(780\) | −9.23651 | + | 28.0343i | −0.330720 | + | 1.00379i | ||||
\(781\) | 56.7092 | − | 20.6405i | 2.02922 | − | 0.738574i | ||||
\(782\) | −8.26214 | −0.295453 | ||||||||
\(783\) | 1.16312 | − | 1.67932i | 0.0415664 | − | 0.0600142i | ||||
\(784\) | −1.30470 | − | 6.87734i | −0.0465966 | − | 0.245619i | ||||
\(785\) | 11.5421 | + | 31.7117i | 0.411955 | + | 1.13184i | ||||
\(786\) | 9.39063 | − | 1.95572i | 0.334953 | − | 0.0697580i | ||||
\(787\) | −3.95690 | − | 4.71565i | −0.141048 | − | 0.168095i | 0.690896 | − | 0.722954i | \(-0.257216\pi\) |
−0.831944 | + | 0.554860i | \(0.812772\pi\) | |||||||
\(788\) | 8.22291 | − | 1.44992i | 0.292929 | − | 0.0516513i | ||||
\(789\) | 0.942657 | + | 30.6017i | 0.0335595 | + | 1.08945i | ||||
\(790\) | −28.5539 | + | 34.0292i | −1.01590 | + | 1.21070i | ||||
\(791\) | −34.8864 | + | 12.9540i | −1.24042 | + | 0.460592i | ||||
\(792\) | −12.8587 | + | 12.2147i | −0.456914 | + | 0.434031i | ||||
\(793\) | 10.7753 | + | 18.6633i | 0.382641 | + | 0.662753i | ||||
\(794\) | −2.21518 | + | 12.5629i | −0.0786138 | + | 0.445841i | ||||
\(795\) | −11.5115 | + | 14.6098i | −0.408271 | + | 0.518156i | ||||
\(796\) | −5.23717 | + | 14.3890i | −0.185626 | + | 0.510005i | ||||
\(797\) | −13.3197 | − | 4.84797i | −0.471807 | − | 0.171724i | 0.0951636 | − | 0.995462i | \(-0.469663\pi\) |
−0.566971 | + | 0.823738i | \(0.691885\pi\) | |||||||
\(798\) | 4.93551 | + | 5.45546i | 0.174715 | + | 0.193121i | ||||
\(799\) | 1.69431 | − | 9.60894i | 0.0599406 | − | 0.339940i | ||||
\(800\) | −5.63258 | + | 3.25197i | −0.199142 | + | 0.114975i | ||||
\(801\) | 1.84225 | + | 1.36176i | 0.0650928 | + | 0.0481156i | ||||
\(802\) | −0.259181 | + | 0.448915i | −0.00915200 | + | 0.0158517i | ||||
\(803\) | −7.12763 | − | 5.98079i | −0.251529 | − | 0.211058i | ||||
\(804\) | −8.82392 | + | 16.4320i | −0.311196 | + | 0.579512i | ||||
\(805\) | 20.5107 | − | 36.0628i | 0.722906 | − | 1.27105i | ||||
\(806\) | −27.5812 | − | 32.8699i | −0.971505 | − | 1.15779i | ||||
\(807\) | 30.6421 | − | 27.3630i | 1.07865 | − | 0.963223i | ||||
\(808\) | −0.561742 | − | 1.54337i | −0.0197620 | − | 0.0542957i | ||||
\(809\) | 0.0409937i | 0.00144126i | 1.00000 | 0.000720631i | \(0.000229384\pi\) | |||||
−1.00000 | 0.000720631i | \(0.999771\pi\) | ||||||||
\(810\) | −29.1829 | + | 8.95418i | −1.02538 | + | 0.314618i | ||||
\(811\) | 2.77830i | 0.0975593i | 0.998810 | + | 0.0487797i | \(0.0155332\pi\) | ||||
−0.998810 | + | 0.0487797i | \(0.984467\pi\) | |||||||
\(812\) | −0.979690 | − | 0.349411i | −0.0343804 | − | 0.0122619i | ||||
\(813\) | 8.76162 | + | 9.81160i | 0.307283 | + | 0.344108i | ||||
\(814\) | 27.4199 | − | 23.0080i | 0.961068 | − | 0.806432i | ||||
\(815\) | −1.19988 | − | 6.80485i | −0.0420299 | − | 0.238364i | ||||
\(816\) | 1.46440 | − | 2.72702i | 0.0512642 | − | 0.0954649i | ||||
\(817\) | 8.73956 | − | 10.4154i | 0.305759 | − | 0.364389i | ||||
\(818\) | 3.16527 | − | 5.48241i | 0.110671 | − | 0.191688i | ||||
\(819\) | 38.3157 | + | 11.0594i | 1.33886 | + | 0.386447i | ||||
\(820\) | 8.28456 | + | 14.3493i | 0.289310 | + | 0.501099i | ||||
\(821\) | 31.5365 | + | 5.56073i | 1.10063 | + | 0.194071i | 0.694321 | − | 0.719665i | \(-0.255705\pi\) |
0.406309 | + | 0.913736i | \(0.366816\pi\) | |||||||
\(822\) | 0.318939 | − | 2.20358i | 0.0111243 | − | 0.0768587i | ||||
\(823\) | 36.6406 | + | 13.3361i | 1.27721 | + | 0.464867i | 0.889509 | − | 0.456918i | \(-0.151047\pi\) |
0.387702 | + | 0.921785i | \(0.373269\pi\) | |||||||
\(824\) | −11.3423 | − | 4.12827i | −0.395129 | − | 0.143815i | ||||
\(825\) | 41.2170 | − | 52.3105i | 1.43499 | − | 1.82122i | ||||
\(826\) | 10.5830 | − | 8.99763i | 0.368231 | − | 0.313067i | ||||
\(827\) | −31.2739 | + | 18.0560i | −1.08750 | + | 0.627869i | −0.932910 | − | 0.360110i | \(-0.882739\pi\) |
−0.154591 | + | 0.987979i | \(0.549406\pi\) | |||||||
\(828\) | 3.93252 | − | 13.3005i | 0.136665 | − | 0.462224i | ||||
\(829\) | 23.9244 | + | 13.8128i | 0.830930 | + | 0.479738i | 0.854171 | − | 0.519992i | \(-0.174065\pi\) |
−0.0232407 | + | 0.999730i | \(0.507398\pi\) | |||||||
\(830\) | −10.7290 | + | 12.7864i | −0.372410 | + | 0.443821i | ||||
\(831\) | 0.709922 | − | 0.0218685i | 0.0246269 | − | 0.000758611i | ||||
\(832\) | 4.94805 | − | 0.872475i | 0.171543 | − | 0.0302476i | ||||
\(833\) | −9.68628 | − | 7.91629i | −0.335610 | − | 0.274283i | ||||
\(834\) | −4.26411 | − | 20.4747i | −0.147654 | − | 0.708981i | ||||
\(835\) | −46.3926 | + | 16.8855i | −1.60548 | + | 0.584348i | ||||
\(836\) | −9.49062 | −0.328240 | ||||||||
\(837\) | 11.2658 | − | 42.9217i | 0.389402 | − | 1.48359i | ||||
\(838\) | 15.7086i | 0.542646i | ||||||||
\(839\) | −12.4498 | + | 4.53134i | −0.429814 | + | 0.156439i | −0.547862 | − | 0.836568i | \(-0.684558\pi\) |
0.118049 | + | 0.993008i | \(0.462336\pi\) | |||||||
\(840\) | 8.26762 | + | 13.1617i | 0.285260 | + | 0.454120i | ||||
\(841\) | 22.0969 | − | 18.5415i | 0.761962 | − | 0.639362i | ||||
\(842\) | 31.9108 | − | 5.62674i | 1.09972 | − | 0.193910i | ||||
\(843\) | 1.37429 | − | 0.850914i | 0.0473330 | − | 0.0293070i | ||||
\(844\) | −16.6113 | − | 13.9386i | −0.571786 | − | 0.479785i | ||||
\(845\) | −20.7650 | + | 35.9661i | −0.714339 | + | 1.23727i | ||||
\(846\) | 14.6621 | + | 7.30108i | 0.504095 | + | 0.251016i | ||||
\(847\) | −62.4716 | − | 10.5988i | −2.14655 | − | 0.364180i | ||||
\(848\) | 3.11803 | + | 0.549793i | 0.107074 | + | 0.0188800i | ||||
\(849\) | 3.05086 | + | 7.64146i | 0.104705 | + | 0.262254i | ||||
\(850\) | −3.97536 | + | 10.9222i | −0.136354 | + | 0.374628i | ||||
\(851\) | −9.57389 | + | 26.3041i | −0.328189 | + | 0.901692i | ||||
\(852\) | −6.55597 | − | 16.4207i | −0.224604 | − | 0.562564i | ||||
\(853\) | 34.9167 | + | 6.15675i | 1.19552 | + | 0.210803i | 0.735763 | − | 0.677239i | \(-0.236824\pi\) |
0.459761 | + | 0.888043i | \(0.347935\pi\) | |||||||
\(854\) | 11.1882 | + | 1.89818i | 0.382854 | + | 0.0649543i | ||||
\(855\) | −14.6224 | − | 7.28130i | −0.500076 | − | 0.249015i | ||||
\(856\) | 3.18073 | − | 5.50919i | 0.108715 | − | 0.188300i | ||||
\(857\) | −15.8927 | − | 13.3356i | −0.542884 | − | 0.455534i | 0.329639 | − | 0.944107i | \(-0.393073\pi\) |
−0.872523 | + | 0.488573i | \(0.837518\pi\) | |||||||
\(858\) | −43.7416 | + | 27.0833i | −1.49332 | + | 0.924610i | ||||
\(859\) | −42.1444 | + | 7.43120i | −1.43795 | + | 0.253549i | −0.837642 | − | 0.546220i | \(-0.816066\pi\) |
−0.600308 | + | 0.799769i | \(0.704955\pi\) | |||||||
\(860\) | 22.0052 | − | 18.4645i | 0.750371 | − | 0.629636i | ||||
\(861\) | 18.9567 | − | 11.9079i | 0.646044 | − | 0.405819i | ||||
\(862\) | 17.9382 | − | 6.52897i | 0.610978 | − | 0.222378i | ||||
\(863\) | 36.6851i | 1.24877i | 0.781115 | + | 0.624387i | \(0.214651\pi\) | ||||
−0.781115 | + | 0.624387i | \(0.785349\pi\) | |||||||
\(864\) | 3.69299 | + | 3.65539i | 0.125638 | + | 0.124359i | ||||
\(865\) | −48.9817 | −1.66543 | ||||||||
\(866\) | 6.00610 | − | 2.18604i | 0.204096 | − | 0.0742847i | ||||
\(867\) | 4.87561 | + | 23.4109i | 0.165584 | + | 0.795075i | ||||
\(868\) | −22.5945 | + | 0.146300i | −0.766906 | + | 0.00496575i | ||||
\(869\) | −76.2511 | + | 13.4451i | −2.58664 | + | 0.456095i | ||||
\(870\) | 2.30844 | − | 0.0711095i | 0.0782635 | − | 0.00241084i | ||||
\(871\) | −34.7776 | + | 41.4463i | −1.17839 | + | 1.40436i | ||||
\(872\) | −3.93519 | − | 2.27199i | −0.133262 | − | 0.0769391i | ||||
\(873\) | 5.85025 | − | 19.7866i | 0.198001 | − | 0.669675i | ||||
\(874\) | 6.42761 | − | 3.71098i | 0.217417 | − | 0.125526i | ||||
\(875\) | −8.74181 | − | 10.2821i | −0.295527 | − | 0.347600i | ||||
\(876\) | −1.68713 | + | 2.14123i | −0.0570030 | + | 0.0723453i | ||||
\(877\) | 34.5055 | + | 12.5590i | 1.16517 | + | 0.424086i | 0.850941 | − | 0.525262i | \(-0.176033\pi\) |
0.314226 | + | 0.949348i | \(0.398255\pi\) | |||||||
\(878\) | 18.6584 | + | 6.79111i | 0.629691 | + | 0.229189i | ||||
\(879\) | −6.43340 | + | 44.4490i | −0.216993 | + | 1.49923i | ||||
\(880\) | −19.7467 | − | 3.48188i | −0.665662 | − | 0.117374i | ||||
\(881\) | 6.77937 | + | 11.7422i | 0.228403 | + | 0.395605i | 0.957335 | − | 0.288981i | \(-0.0933163\pi\) |
−0.728932 | + | 0.684586i | \(0.759983\pi\) | |||||||
\(882\) | 17.3541 | − | 11.8252i | 0.584343 | − | 0.398175i | ||||
\(883\) | 7.49854 | − | 12.9878i | 0.252346 | − | 0.437076i | −0.711825 | − | 0.702356i | \(-0.752131\pi\) |
0.964171 | + | 0.265281i | \(0.0854646\pi\) | |||||||
\(884\) | 5.77162 | − | 6.87835i | 0.194121 | − | 0.231344i | ||||
\(885\) | −14.5921 | + | 27.1736i | −0.490508 | + | 0.913430i | ||||
\(886\) | −5.23496 | − | 29.6889i | −0.175872 | − | 0.997420i | ||||
\(887\) | −11.1296 | + | 9.33884i | −0.373695 | + | 0.313568i | −0.810221 | − | 0.586124i | \(-0.800653\pi\) |
0.436526 | + | 0.899692i | \(0.356209\pi\) | |||||||
\(888\) | −6.98509 | − | 7.82218i | −0.234404 | − | 0.262495i | ||||
\(889\) | 18.4094 | − | 51.6169i | 0.617432 | − | 1.73118i | ||||
\(890\) | 2.59007i | 0.0868193i | ||||||||
\(891\) | −48.9975 | − | 20.7401i | −1.64148 | − | 0.694821i | ||||
\(892\) | − | 19.6513i | − | 0.657973i | ||||||
\(893\) | 2.99780 | + | 8.23638i | 0.100317 | + | 0.275620i | ||||
\(894\) | 11.7642 | − | 10.5052i | 0.393452 | − | 0.351347i | ||||
\(895\) | −53.6478 | − | 63.9350i | −1.79325 | − | 2.13711i | ||||
\(896\) | 1.30801 | − | 2.29981i | 0.0436976 | − | 0.0768311i | ||||
\(897\) | 19.0344 | − | 35.4462i | 0.635541 | − | 1.18351i | ||||
\(898\) | −13.3381 | − | 11.1920i | −0.445099 | − | 0.373482i | ||||
\(899\) | −1.67870 | + | 2.90759i | −0.0559877 | + | 0.0969736i | ||||
\(900\) | −15.6906 | − | 11.5982i | −0.523018 | − | 0.386607i | ||||
\(901\) | 4.90013 | − | 2.82909i | 0.163247 | − | 0.0942507i | ||||
\(902\) | −5.01495 | + | 28.4412i | −0.166980 | + | 0.946988i | ||||
\(903\) | −26.0379 | − | 28.7809i | −0.866486 | − | 0.957769i | ||||
\(904\) | −13.2172 | − | 4.81068i | −0.439599 | − | 0.160001i | ||||
\(905\) | 8.90058 | − | 24.4541i | 0.295865 | − | 0.812883i | ||||
\(906\) | −12.6355 | + | 16.0363i | −0.419786 | + | 0.532771i | ||||
\(907\) | −1.91838 | + | 10.8797i | −0.0636987 | + | 0.361254i | 0.936252 | + | 0.351329i | \(0.114270\pi\) |
−0.999951 | + | 0.00992438i | \(0.996841\pi\) | |||||||
\(908\) | −5.63708 | − | 9.76371i | −0.187073 | − | 0.324020i | ||||
\(909\) | 3.57241 | − | 3.39350i | 0.118489 | − | 0.112555i | ||||
\(910\) | 15.6948 | + | 42.2676i | 0.520278 | + | 1.40116i | ||||
\(911\) | −17.2529 | + | 20.5612i | −0.571614 | + | 0.681223i | −0.971961 | − | 0.235141i | \(-0.924445\pi\) |
0.400348 | + | 0.916363i | \(0.368889\pi\) | |||||||
\(912\) | 0.0856126 | + | 2.77926i | 0.00283492 | + | 0.0920305i | ||||
\(913\) | −28.6511 | + | 5.05196i | −0.948213 | + | 0.167195i | ||||
\(914\) | 13.4758 | + | 16.0598i | 0.445738 | + | 0.531210i | ||||
\(915\) | −24.6683 | + | 5.13748i | −0.815509 | + | 0.169840i | ||||
\(916\) | −4.81100 | − | 13.2181i | −0.158960 | − | 0.436739i | ||||
\(917\) | 9.34539 | − | 11.2850i | 0.308612 | − | 0.372663i | ||||
\(918\) | 9.25470 | + | 0.761986i | 0.305451 | + | 0.0251493i | ||||
\(919\) | −20.6706 | −0.681860 | −0.340930 | − | 0.940089i | \(-0.610742\pi\) | ||||
−0.340930 | + | 0.940089i | \(0.610742\pi\) | |||||||
\(920\) | 14.7351 | − | 5.36315i | 0.485803 | − | 0.176818i | ||||
\(921\) | 7.08719 | − | 21.5108i | 0.233531 | − | 0.708803i | ||||
\(922\) | −7.04014 | − | 8.39011i | −0.231855 | − | 0.276314i | ||||
\(923\) | −8.90637 | − | 50.5105i | −0.293157 | − | 1.66257i | ||||
\(924\) | −3.70698 | + | 26.8365i | −0.121951 | + | 0.882856i | ||||
\(925\) | 30.1664 | + | 25.3126i | 0.991864 | + | 0.832273i | ||||
\(926\) | 32.2868 | + | 18.6408i | 1.06101 | + | 0.612574i | ||||
\(927\) | −2.22877 | − | 36.1421i | −0.0732023 | − | 1.18706i | ||||
\(928\) | −0.196567 | − | 0.340464i | −0.00645263 | − | 0.0111763i | ||||
\(929\) | 8.28362 | − | 46.9787i | 0.271777 | − | 1.54132i | −0.477241 | − | 0.878772i | \(-0.658363\pi\) |
0.749018 | − | 0.662550i | \(-0.230526\pi\) | |||||||
\(930\) | 46.5939 | − | 18.6027i | 1.52788 | − | 0.610005i | ||||
\(931\) | 11.0912 | + | 1.80791i | 0.363499 | + | 0.0592518i | ||||
\(932\) | −2.29972 | + | 6.31842i | −0.0753298 | + | 0.206967i | ||||
\(933\) | 27.0651 | − | 10.8058i | 0.886072 | − | 0.353765i | ||||
\(934\) | −24.6388 | − | 4.34448i | −0.806205 | − | 0.142156i | ||||
\(935\) | −31.0329 | + | 17.9168i | −1.01488 | + | 0.585943i | ||||
\(936\) | 8.32574 | + | 12.5651i | 0.272135 | + | 0.410704i | ||||
\(937\) | −12.5774 | − | 7.26158i | −0.410887 | − | 0.237226i | 0.280284 | − | 0.959917i | \(-0.409571\pi\) |
−0.691171 | + | 0.722692i | \(0.742905\pi\) | |||||||
\(938\) | 5.12887 | + | 28.0249i | 0.167464 | + | 0.915046i | ||||
\(939\) | 5.66233 | − | 3.50592i | 0.184783 | − | 0.114412i | ||||
\(940\) | 3.21566 | + | 18.2369i | 0.104883 | + | 0.594822i | ||||
\(941\) | −19.0755 | + | 16.0062i | −0.621843 | + | 0.521789i | −0.898382 | − | 0.439214i | \(-0.855257\pi\) |
0.276539 | + | 0.961003i | \(0.410812\pi\) | |||||||
\(942\) | 16.3679 | + | 5.39276i | 0.533294 | + | 0.175706i | ||||
\(943\) | −7.72454 | − | 21.2230i | −0.251546 | − | 0.691116i | ||||
\(944\) | 5.25028 | 0.170882 | ||||||||
\(945\) | −26.3006 | + | 38.5035i | −0.855560 | + | 1.25252i | ||||
\(946\) | 50.0689 | 1.62788 | ||||||||
\(947\) | −11.1659 | − | 30.6782i | −0.362844 | − | 0.996906i | −0.978019 | − | 0.208515i | \(-0.933137\pi\) |
0.615175 | − | 0.788391i | \(-0.289085\pi\) | |||||||
\(948\) | 4.62515 | + | 22.2083i | 0.150218 | + | 0.721292i | ||||
\(949\) | −6.05770 | + | 5.08301i | −0.196641 | + | 0.165002i | ||||
\(950\) | −1.81310 | − | 10.2826i | −0.0588247 | − | 0.333611i | ||||
\(951\) | −0.339286 | − | 11.0143i | −0.0110021 | − | 0.357163i | ||||
\(952\) | −0.851177 | − | 4.65096i | −0.0275868 | − | 0.150739i | ||||
\(953\) | −17.1700 | − | 9.91308i | −0.556190 | − | 0.321116i | 0.195425 | − | 0.980719i | \(-0.437391\pi\) |
−0.751615 | + | 0.659602i | \(0.770725\pi\) | |||||||
\(954\) | 2.22200 | + | 9.23485i | 0.0719398 | + | 0.298989i | ||||
\(955\) | 78.7047 | − | 45.4402i | 2.54683 | − | 1.47041i | ||||
\(956\) | −20.2526 | − | 3.57109i | −0.655017 | − | 0.115497i | ||||
\(957\) | 3.16193 | + | 2.49138i | 0.102211 | + | 0.0805348i | ||||
\(958\) | 1.08158 | − | 2.97161i | 0.0349442 | − | 0.0960084i | ||||
\(959\) | −1.71959 | − | 2.93437i | −0.0555283 | − | 0.0947556i | ||||
\(960\) | −0.841513 | + | 5.81409i | −0.0271597 | + | 0.187649i | ||||
\(961\) | −7.28159 | + | 41.2960i | −0.234890 | + | 1.33213i | ||||
\(962\) | −15.2106 | − | 26.3455i | −0.490408 | − | 0.849411i | ||||
\(963\) | 18.9628 | + | 2.15089i | 0.611068 | + | 0.0693115i | ||||
\(964\) | 20.0489 | + | 11.5752i | 0.645731 | + | 0.372813i | ||||
\(965\) | 5.72299 | + | 4.80216i | 0.184230 | + | 0.154587i | ||||
\(966\) | −7.98291 | − | 19.6248i | −0.256846 | − | 0.631416i | ||||
\(967\) | −6.87991 | − | 39.0179i | −0.221243 | − | 1.25473i | −0.869738 | − | 0.493513i | \(-0.835713\pi\) |
0.648495 | − | 0.761219i | \(-0.275399\pi\) | |||||||
\(968\) | −15.3944 | − | 18.3463i | −0.494795 | − | 0.589674i | ||||
\(969\) | 3.30980 | + | 3.70644i | 0.106326 | + | 0.119068i | ||||
\(970\) | 21.9209 | − | 7.97854i | 0.703836 | − | 0.256175i | ||||
\(971\) | −57.4256 | −1.84288 | −0.921438 | − | 0.388525i | \(-0.872985\pi\) | ||||
−0.921438 | + | 0.388525i | \(0.872985\pi\) | |||||||
\(972\) | −5.63160 | + | 14.5356i | −0.180634 | + | 0.466231i | ||||
\(973\) | −24.6050 | − | 20.3761i | −0.788801 | − | 0.653226i | ||||
\(974\) | −4.19969 | − | 11.5386i | −0.134567 | − | 0.369719i | ||||
\(975\) | −37.6999 | − | 42.2178i | −1.20736 | − | 1.35205i | ||||
\(976\) | 2.75704 | + | 3.28571i | 0.0882506 | + | 0.105173i | ||||
\(977\) | 43.8735 | − | 7.73609i | 1.40364 | − | 0.247499i | 0.580001 | − | 0.814616i | \(-0.303052\pi\) |
0.823638 | + | 0.567117i | \(0.191941\pi\) | |||||||
\(978\) | −3.10875 | − | 1.66938i | −0.0994067 | − | 0.0533810i | ||||
\(979\) | −2.90185 | + | 3.45830i | −0.0927437 | + | 0.110528i | ||||
\(980\) | 22.4137 | + | 7.83073i | 0.715979 | + | 0.250143i | ||||
\(981\) | 1.53637 | − | 13.5451i | 0.0490526 | − | 0.432460i | ||||
\(982\) | 3.39339 | + | 5.87752i | 0.108287 | + | 0.187559i | ||||
\(983\) | −1.07544 | + | 6.09915i | −0.0343013 | + | 0.194533i | −0.997143 | − | 0.0755328i | \(-0.975934\pi\) |
0.962842 | + | 0.270065i | \(0.0870453\pi\) | |||||||
\(984\) | 8.37404 | + | 1.21203i | 0.266955 | + | 0.0386381i | ||||
\(985\) | −9.68610 | + | 26.6124i | −0.308625 | + | 0.847940i | ||||
\(986\) | −0.660198 | − | 0.240292i | −0.0210250 | − | 0.00765247i | ||||
\(987\) | 24.4608 | − | 5.25974i | 0.778597 | − | 0.167420i | ||||
\(988\) | −1.40064 | + | 7.94344i | −0.0445604 | + | 0.252715i | ||||
\(989\) | −33.9096 | + | 19.5777i | −1.07826 | + | 0.622536i | ||||
\(990\) | −14.0721 | − | 58.4849i | −0.447239 | − | 1.85877i | ||||
\(991\) | 1.81751 | − | 3.14802i | 0.0577351 | − | 0.100000i | −0.835713 | − | 0.549166i | \(-0.814945\pi\) |
0.893448 | + | 0.449166i | \(0.148279\pi\) | |||||||
\(992\) | −6.54208 | − | 5.48946i | −0.207711 | − | 0.174291i | ||||
\(993\) | 3.63470 | − | 0.111964i | 0.115344 | − | 0.00355306i | ||||
\(994\) | −23.4768 | − | 13.3524i | −0.744639 | − | 0.423512i | ||||
\(995\) | −33.3838 | − | 39.7853i | −1.05834 | − | 1.26128i | ||||
\(996\) | 1.73788 | + | 8.34469i | 0.0550670 | + | 0.264412i | ||||
\(997\) | 11.3278 | + | 31.1227i | 0.358754 | + | 0.985667i | 0.979463 | + | 0.201626i | \(0.0646226\pi\) |
−0.620709 | + | 0.784041i | \(0.713155\pi\) | |||||||
\(998\) | − | 4.51980i | − | 0.143072i | ||||||
\(999\) | 13.1500 | − | 28.5811i | 0.416047 | − | 0.904266i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.z.a.209.16 | ✓ | 144 | |
7.6 | odd | 2 | inner | 378.2.z.a.209.21 | yes | 144 | |
27.23 | odd | 18 | inner | 378.2.z.a.293.21 | yes | 144 | |
189.104 | even | 18 | inner | 378.2.z.a.293.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.z.a.209.16 | ✓ | 144 | 1.1 | even | 1 | trivial | |
378.2.z.a.209.21 | yes | 144 | 7.6 | odd | 2 | inner | |
378.2.z.a.293.16 | yes | 144 | 189.104 | even | 18 | inner | |
378.2.z.a.293.21 | yes | 144 | 27.23 | odd | 18 | inner |