Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.8 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −1.15312 | + | 0.639184i | −0.665753 | + | 0.369033i | −0.781200 | − | 0.624281i | \(-0.785392\pi\) |
0.115447 | + | 0.993314i | \(0.463170\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 1.05144 | − | 1.97344i | 0.470219 | − | 0.882550i | ||||
\(6\) | 1.26735 | − | 0.363406i | 0.517393 | − | 0.148360i | ||||
\(7\) | −4.51015 | − | 1.20849i | −1.70468 | − | 0.456767i | −0.730566 | − | 0.682842i | \(-0.760744\pi\) |
−0.974110 | + | 0.226075i | \(0.927410\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | −0.668633 | + | 1.07004i | −0.222878 | + | 0.356679i | ||||
\(10\) | −1.46842 | + | 1.68634i | −0.464355 | + | 0.533267i | ||||
\(11\) | 1.44460 | + | 1.60439i | 0.435562 | + | 0.483741i | 0.920464 | − | 0.390828i | \(-0.127811\pi\) |
−0.484902 | + | 0.874569i | \(0.661145\pi\) | |||||||
\(12\) | −1.31661 | + | 0.0690009i | −0.380074 | + | 0.0199188i | ||||
\(13\) | 3.49887 | + | 3.75208i | 0.970412 | + | 1.04064i | 0.999157 | + | 0.0410531i | \(0.0130713\pi\) |
−0.0287446 | + | 0.999587i | \(0.509151\pi\) | |||||||
\(14\) | 4.12270 | + | 2.19208i | 1.10184 | + | 0.585858i | ||||
\(15\) | 0.0489552 | + | 2.94767i | 0.0126402 | + | 0.761086i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | 2.11783 | − | 1.84100i | 0.513650 | − | 0.446509i | −0.360080 | − | 0.932922i | \(-0.617250\pi\) |
0.873729 | + | 0.486413i | \(0.161695\pi\) | |||||||
\(18\) | 0.892202 | − | 0.892202i | 0.210294 | − | 0.210294i | ||||
\(19\) | 2.00466 | + | 3.87057i | 0.459901 | + | 0.887970i | ||||
\(20\) | 1.81013 | − | 1.31280i | 0.404757 | − | 0.293550i | ||||
\(21\) | 5.97318 | − | 1.48928i | 1.30345 | − | 0.324988i | ||||
\(22\) | −1.04666 | − | 1.88823i | −0.223149 | − | 0.402572i | ||||
\(23\) | −2.58958 | − | 3.43649i | −0.539965 | − | 0.716558i | 0.443778 | − | 0.896137i | \(-0.353638\pi\) |
−0.983744 | + | 0.179578i | \(0.942527\pi\) | |||||||
\(24\) | 1.29839 | + | 0.228942i | 0.265033 | + | 0.0467325i | ||||
\(25\) | −2.78894 | − | 4.14992i | −0.557788 | − | 0.829983i | ||||
\(26\) | −2.56516 | − | 4.44299i | −0.503070 | − | 0.871342i | ||||
\(27\) | 0.294065 | − | 5.61110i | 0.0565929 | − | 1.07986i | ||||
\(28\) | −3.52393 | − | 3.06330i | −0.665960 | − | 0.578910i | ||||
\(29\) | −3.06407 | + | 0.214260i | −0.568983 | + | 0.0397871i | −0.351351 | − | 0.936244i | \(-0.614278\pi\) |
−0.217632 | + | 0.976031i | \(0.569833\pi\) | |||||||
\(30\) | 0.615382 | − | 2.88314i | 0.112353 | − | 0.526387i | ||||
\(31\) | 2.48397 | − | 5.57909i | 0.446134 | − | 1.00203i | −0.540836 | − | 0.841128i | \(-0.681892\pi\) |
0.986970 | − | 0.160905i | \(-0.0514414\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −2.69129 | − | 0.926685i | −0.468493 | − | 0.161315i | ||||
\(34\) | −2.47769 | + | 1.31741i | −0.424920 | + | 0.225934i | ||||
\(35\) | −7.12704 | + | 7.62986i | −1.20469 | + | 1.28968i | ||||
\(36\) | −1.07004 | + | 0.668633i | −0.178339 | + | 0.111439i | ||||
\(37\) | 2.57740 | − | 5.05842i | 0.423721 | − | 0.831600i | −0.576177 | − | 0.817325i | \(-0.695456\pi\) |
0.999898 | − | 0.0142747i | \(-0.00454392\pi\) | |||||||
\(38\) | −1.08259 | − | 4.22232i | −0.175620 | − | 0.684951i | ||||
\(39\) | −6.43288 | − | 2.09017i | −1.03008 | − | 0.334695i | ||||
\(40\) | −2.05905 | + | 0.871958i | −0.325564 | + | 0.137869i | ||||
\(41\) | 5.70725 | − | 4.45900i | 0.891323 | − | 0.696378i | −0.0620818 | − | 0.998071i | \(-0.519774\pi\) |
0.953405 | + | 0.301693i | \(0.0975517\pi\) | |||||||
\(42\) | −6.15510 | + | 0.107438i | −0.949753 | + | 0.0165780i | ||||
\(43\) | −5.37937 | + | 3.76668i | −0.820347 | + | 0.574413i | −0.906663 | − | 0.421855i | \(-0.861379\pi\) |
0.0863167 | + | 0.996268i | \(0.472490\pi\) | |||||||
\(44\) | 0.595078 | + | 2.07528i | 0.0897114 | + | 0.312861i | ||||
\(45\) | 1.40863 | + | 2.44459i | 0.209986 | + | 0.364418i | ||||
\(46\) | 1.75017 | + | 3.93094i | 0.258048 | + | 0.579586i | ||||
\(47\) | 3.61735 | − | 4.16129i | 0.527645 | − | 0.606987i | −0.427175 | − | 0.904169i | \(-0.640491\pi\) |
0.954821 | + | 0.297182i | \(0.0960469\pi\) | |||||||
\(48\) | −1.21361 | − | 0.515148i | −0.175170 | − | 0.0743553i | ||||
\(49\) | 12.8188 | + | 7.40095i | 1.83126 | + | 1.05728i | ||||
\(50\) | 1.78393 | + | 4.67093i | 0.252286 | + | 0.660569i | ||||
\(51\) | −1.26537 | + | 3.47658i | −0.177187 | + | 0.486818i | ||||
\(52\) | 1.49996 | + | 4.90615i | 0.208007 | + | 0.680361i | ||||
\(53\) | −3.27998 | − | 9.52575i | −0.450540 | − | 1.30846i | −0.907902 | − | 0.419182i | \(-0.862317\pi\) |
0.457362 | − | 0.889280i | \(-0.348794\pi\) | |||||||
\(54\) | −1.54875 | + | 5.40114i | −0.210758 | + | 0.735002i | ||||
\(55\) | 4.68507 | − | 1.16391i | 0.631735 | − | 0.156941i | ||||
\(56\) | 2.74452 | + | 3.77750i | 0.366751 | + | 0.504790i | ||||
\(57\) | −4.78562 | − | 3.18188i | −0.633870 | − | 0.421450i | ||||
\(58\) | 3.03373 | + | 0.480496i | 0.398349 | + | 0.0630922i | ||||
\(59\) | 3.85659 | − | 9.54540i | 0.502086 | − | 1.24271i | −0.437136 | − | 0.899395i | \(-0.644007\pi\) |
0.939222 | − | 0.343310i | \(-0.111548\pi\) | |||||||
\(60\) | −1.24817 | + | 2.67081i | −0.161139 | + | 0.344800i | ||||
\(61\) | −7.37956 | − | 1.03713i | −0.944856 | − | 0.132791i | −0.350114 | − | 0.936707i | \(-0.613857\pi\) |
−0.594743 | + | 0.803916i | \(0.702746\pi\) | |||||||
\(62\) | −3.67533 | + | 4.87732i | −0.466767 | + | 0.619421i | ||||
\(63\) | 4.30876 | − | 4.01799i | 0.542853 | − | 0.506219i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | 11.0834 | − | 2.95972i | 1.37472 | − | 0.367109i | ||||
\(66\) | 2.41385 | + | 1.50834i | 0.297125 | + | 0.185664i | ||||
\(67\) | −9.90823 | + | 5.95347i | −1.21048 | + | 0.727332i | −0.969949 | − | 0.243309i | \(-0.921767\pi\) |
−0.240534 | + | 0.970641i | \(0.577323\pi\) | |||||||
\(68\) | 2.71054 | − | 0.726286i | 0.328701 | − | 0.0880751i | ||||
\(69\) | 5.18264 | + | 2.30746i | 0.623917 | + | 0.277786i | ||||
\(70\) | 8.66072 | − | 5.83107i | 1.03515 | − | 0.696946i | ||||
\(71\) | 1.49667 | + | 1.54985i | 0.177622 | + | 0.183933i | 0.802248 | − | 0.596991i | \(-0.203637\pi\) |
−0.624626 | + | 0.780924i | \(0.714748\pi\) | |||||||
\(72\) | 1.19302 | − | 0.410790i | 0.140599 | − | 0.0484121i | ||||
\(73\) | 9.09819 | − | 9.75662i | 1.06486 | − | 1.14193i | 0.0753978 | − | 0.997154i | \(-0.475977\pi\) |
0.989465 | − | 0.144772i | \(-0.0462449\pi\) | |||||||
\(74\) | −3.64923 | + | 4.34899i | −0.424215 | + | 0.505560i | ||||
\(75\) | 5.86853 | + | 3.00270i | 0.677640 | + | 0.346722i | ||||
\(76\) | 0.105031 | + | 4.35763i | 0.0120479 | + | 0.499855i | ||||
\(77\) | −4.57646 | − | 8.98181i | −0.521536 | − | 1.02357i | ||||
\(78\) | 5.79782 | + | 3.48368i | 0.656474 | + | 0.394449i | ||||
\(79\) | −12.2029 | − | 3.49913i | −1.37294 | − | 0.393683i | −0.493519 | − | 0.869735i | \(-0.664290\pi\) |
−0.879417 | + | 0.476052i | \(0.842067\pi\) | |||||||
\(80\) | 2.20243 | − | 0.386424i | 0.246239 | − | 0.0432036i | ||||
\(81\) | 1.58807 | + | 3.25602i | 0.176452 | + | 0.361780i | ||||
\(82\) | −6.56403 | + | 3.06086i | −0.724876 | + | 0.338015i | ||||
\(83\) | 0.194093 | + | 0.505629i | 0.0213044 | + | 0.0555000i | 0.943820 | − | 0.330460i | \(-0.107204\pi\) |
−0.922516 | + | 0.385960i | \(0.873870\pi\) | |||||||
\(84\) | 6.02152 | + | 1.27991i | 0.657001 | + | 0.139650i | ||||
\(85\) | −1.40633 | − | 6.11512i | −0.152538 | − | 0.663278i | ||||
\(86\) | 6.08882 | − | 2.46004i | 0.656574 | − | 0.265273i | ||||
\(87\) | 3.39628 | − | 2.20557i | 0.364119 | − | 0.236462i | ||||
\(88\) | −0.112989 | − | 2.15596i | −0.0120447 | − | 0.229826i | ||||
\(89\) | 3.76956 | − | 4.82481i | 0.399572 | − | 0.511429i | −0.545580 | − | 0.838059i | \(-0.683691\pi\) |
0.945153 | + | 0.326629i | \(0.105913\pi\) | |||||||
\(90\) | −0.822610 | − | 2.69881i | −0.0867107 | − | 0.284479i | ||||
\(91\) | −11.2461 | − | 21.1508i | −1.17891 | − | 2.21721i | ||||
\(92\) | −0.821042 | − | 4.22390i | −0.0855996 | − | 0.440372i | ||||
\(93\) | 0.701752 | + | 8.02106i | 0.0727682 | + | 0.831745i | ||||
\(94\) | −4.46073 | + | 3.24091i | −0.460089 | + | 0.334274i | ||||
\(95\) | 9.74613 | + | 0.113598i | 0.999932 | + | 0.0116549i | ||||
\(96\) | 1.06663 | + | 0.774949i | 0.108862 | + | 0.0790929i | ||||
\(97\) | 1.55877 | − | 2.59422i | 0.158269 | − | 0.263403i | −0.767855 | − | 0.640624i | \(-0.778676\pi\) |
0.926123 | + | 0.377221i | \(0.123120\pi\) | |||||||
\(98\) | −10.8254 | − | 10.0949i | −1.09353 | − | 1.01974i | ||||
\(99\) | −2.68266 | + | 0.473025i | −0.269617 | + | 0.0475408i | ||||
\(100\) | −0.687479 | − | 4.95251i | −0.0687479 | − | 0.495251i | ||||
\(101\) | 11.7344 | + | 4.27097i | 1.16761 | + | 0.424977i | 0.851812 | − | 0.523848i | \(-0.175504\pi\) |
0.315803 | + | 0.948825i | \(0.397726\pi\) | |||||||
\(102\) | 2.01500 | − | 3.10282i | 0.199515 | − | 0.307225i | ||||
\(103\) | 4.34783 | − | 11.3265i | 0.428405 | − | 1.11603i | −0.534257 | − | 0.845322i | \(-0.679408\pi\) |
0.962661 | − | 0.270710i | \(-0.0872583\pi\) | |||||||
\(104\) | −0.357873 | − | 5.11783i | −0.0350924 | − | 0.501844i | ||||
\(105\) | 3.34144 | − | 13.3536i | 0.326091 | − | 1.30318i | ||||
\(106\) | 1.05309 | + | 10.0194i | 0.102285 | + | 0.973174i | ||||
\(107\) | −2.28488 | + | 8.52728i | −0.220887 | + | 0.824363i | 0.763123 | + | 0.646253i | \(0.223665\pi\) |
−0.984011 | + | 0.178110i | \(0.943002\pi\) | |||||||
\(108\) | 2.72405 | − | 4.91432i | 0.262122 | − | 0.472880i | ||||
\(109\) | 12.1274 | − | 1.70439i | 1.16159 | − | 0.163251i | 0.468074 | − | 0.883689i | \(-0.344948\pi\) |
0.693520 | + | 0.720438i | \(0.256059\pi\) | |||||||
\(110\) | −4.82682 | + | 0.0801641i | −0.460219 | + | 0.00764335i | ||||
\(111\) | 0.261221 | + | 7.48039i | 0.0247940 | + | 0.710007i | ||||
\(112\) | −1.82442 | − | 4.29807i | −0.172392 | − | 0.406129i | ||||
\(113\) | 5.02233 | + | 2.55900i | 0.472461 | + | 0.240731i | 0.673974 | − | 0.738755i | \(-0.264586\pi\) |
−0.201513 | + | 0.979486i | \(0.564586\pi\) | |||||||
\(114\) | 3.94720 | + | 4.17686i | 0.369689 | + | 0.391198i | ||||
\(115\) | −9.50451 | + | 1.49712i | −0.886300 | + | 0.139607i | ||||
\(116\) | −2.84789 | − | 1.15062i | −0.264420 | − | 0.106833i | ||||
\(117\) | −6.35433 | + | 1.23516i | −0.587458 | + | 0.114190i | ||||
\(118\) | −5.90500 | + | 8.43321i | −0.543599 | + | 0.776340i | ||||
\(119\) | −11.7766 | + | 5.74382i | −1.07956 | + | 0.526535i | ||||
\(120\) | 1.81699 | − | 2.32158i | 0.165867 | − | 0.211930i | ||||
\(121\) | 0.662615 | − | 6.30436i | 0.0602377 | − | 0.573123i | ||||
\(122\) | 6.95712 | + | 2.67059i | 0.629868 | + | 0.241784i | ||||
\(123\) | −3.73102 | + | 8.78973i | −0.336415 | + | 0.792543i | ||||
\(124\) | 4.67829 | − | 3.92555i | 0.420123 | − | 0.352525i | ||||
\(125\) | −11.1220 | + | 1.14041i | −0.994784 | + | 0.102002i | ||||
\(126\) | −5.10218 | + | 2.94575i | −0.454539 | + | 0.262428i | ||||
\(127\) | 14.1090 | − | 1.73237i | 1.25197 | − | 0.153723i | 0.531411 | − | 0.847114i | \(-0.321662\pi\) |
0.720562 | + | 0.693391i | \(0.243884\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | 3.79545 | − | 7.78183i | 0.334171 | − | 0.685152i | ||||
\(130\) | −11.4651 | + | 0.390650i | −1.00556 | + | 0.0342623i | ||||
\(131\) | 20.6702 | + | 1.44540i | 1.80596 | + | 0.126285i | 0.932629 | − | 0.360837i | \(-0.117509\pi\) |
0.873334 | + | 0.487122i | \(0.161953\pi\) | |||||||
\(132\) | −2.01268 | − | 2.01268i | −0.175181 | − | 0.175181i | ||||
\(133\) | −4.36377 | − | 19.8795i | −0.378387 | − | 1.72377i | ||||
\(134\) | 10.9935 | − | 3.57201i | 0.949696 | − | 0.308575i | ||||
\(135\) | −10.7640 | − | 6.48007i | −0.926417 | − | 0.557715i | ||||
\(136\) | −2.80444 | + | 0.0979334i | −0.240479 | + | 0.00839772i | ||||
\(137\) | −1.89744 | + | 6.20626i | −0.162110 | + | 0.530237i | −0.999875 | − | 0.0157932i | \(-0.994973\pi\) |
0.837766 | + | 0.546030i | \(0.183862\pi\) | |||||||
\(138\) | −4.53075 | − | 3.41416i | −0.385683 | − | 0.290633i | ||||
\(139\) | −5.64617 | − | 4.41127i | −0.478902 | − | 0.374159i | 0.347099 | − | 0.937829i | \(-0.387167\pi\) |
−0.826000 | + | 0.563670i | \(0.809389\pi\) | |||||||
\(140\) | −9.75045 | + | 3.73338i | −0.824064 | + | 0.315528i | ||||
\(141\) | −1.51141 | + | 7.11061i | −0.127283 | + | 0.598821i | ||||
\(142\) | −1.10967 | − | 1.84680i | −0.0931214 | − | 0.154980i | ||||
\(143\) | −0.965331 | + | 11.0338i | −0.0807251 | + | 0.922692i | ||||
\(144\) | −1.25485 | + | 0.131890i | −0.104571 | + | 0.0109909i | ||||
\(145\) | −2.79886 | + | 6.27204i | −0.232432 | + | 0.520864i | ||||
\(146\) | −11.0598 | + | 7.45991i | −0.915313 | + | 0.617386i | ||||
\(147\) | −19.5122 | − | 0.340586i | −1.60934 | − | 0.0280911i | ||||
\(148\) | 4.53401 | − | 3.41662i | 0.372694 | − | 0.280845i | ||||
\(149\) | 3.15503 | + | 8.66837i | 0.258470 | + | 0.710141i | 0.999262 | + | 0.0384065i | \(0.0122282\pi\) |
−0.740792 | + | 0.671734i | \(0.765550\pi\) | |||||||
\(150\) | −5.04266 | − | 4.24587i | −0.411732 | − | 0.346674i | ||||
\(151\) | − | 12.6792i | − | 1.03182i | −0.856643 | − | 0.515909i | \(-0.827454\pi\) | ||
0.856643 | − | 0.515909i | \(-0.172546\pi\) | |||||||
\(152\) | 0.877915 | − | 4.26957i | 0.0712083 | − | 0.346308i | ||||
\(153\) | 0.553888 | + | 3.49711i | 0.0447792 | + | 0.282725i | ||||
\(154\) | 2.43870 | + | 9.78108i | 0.196516 | + | 0.788182i | ||||
\(155\) | −8.39825 | − | 10.7681i | −0.674564 | − | 0.864911i | ||||
\(156\) | −4.86556 | − | 4.69862i | −0.389557 | − | 0.376191i | ||||
\(157\) | −1.25260 | − | 1.78890i | −0.0999686 | − | 0.142770i | 0.766051 | − | 0.642779i | \(-0.222219\pi\) |
−0.866020 | + | 0.500009i | \(0.833330\pi\) | |||||||
\(158\) | 11.1030 | + | 6.15451i | 0.883310 | + | 0.489627i | ||||
\(159\) | 9.87091 | + | 8.88780i | 0.782814 | + | 0.704849i | ||||
\(160\) | −2.23290 | − | 0.118917i | −0.176527 | − | 0.00940125i | ||||
\(161\) | 7.52643 | + | 18.6286i | 0.593166 | + | 1.46814i | ||||
\(162\) | −0.814921 | − | 3.52981i | −0.0640262 | − | 0.277328i | ||||
\(163\) | 7.05448 | + | 10.8630i | 0.552550 | + | 0.850852i | 0.999034 | − | 0.0439394i | \(-0.0139909\pi\) |
−0.446484 | + | 0.894791i | \(0.647324\pi\) | |||||||
\(164\) | 7.08434 | − | 1.50582i | 0.553194 | − | 0.117585i | ||||
\(165\) | −4.65849 | + | 4.33674i | −0.362663 | + | 0.337615i | ||||
\(166\) | −0.0753764 | − | 0.536331i | −0.00585034 | − | 0.0416273i | ||||
\(167\) | 0.211429 | + | 12.1127i | 0.0163608 | + | 0.937312i | 0.891389 | + | 0.453240i | \(0.149732\pi\) |
−0.875028 | + | 0.484073i | \(0.839157\pi\) | |||||||
\(168\) | −5.57927 | − | 2.60165i | −0.430450 | − | 0.200722i | ||||
\(169\) | −0.929171 | + | 13.2878i | −0.0714747 | + | 1.02214i | ||||
\(170\) | −0.00531310 | + | 6.27475i | −0.000407496 | + | 0.481251i | ||||
\(171\) | −5.48204 | − | 0.442931i | −0.419222 | − | 0.0338718i | ||||
\(172\) | −6.48615 | + | 1.02731i | −0.494564 | + | 0.0783313i | ||||
\(173\) | −1.92743 | + | 8.34863i | −0.146540 | + | 0.634735i | 0.847966 | + | 0.530051i | \(0.177827\pi\) |
−0.994506 | + | 0.104683i | \(0.966617\pi\) | |||||||
\(174\) | −3.80537 | + | 1.38504i | −0.288485 | + | 0.105000i | ||||
\(175\) | 7.56340 | + | 22.0872i | 0.571739 | + | 1.66963i | ||||
\(176\) | −0.374892 | + | 2.12612i | −0.0282585 | + | 0.160262i | ||||
\(177\) | 1.65416 | + | 13.4720i | 0.124334 | + | 1.01262i | ||||
\(178\) | −4.75829 | + | 3.85319i | −0.356649 | + | 0.288809i | ||||
\(179\) | −12.4709 | + | 5.55242i | −0.932122 | + | 0.415008i | −0.815885 | − | 0.578214i | \(-0.803750\pi\) |
−0.116237 | + | 0.993221i | \(0.537083\pi\) | |||||||
\(180\) | 0.194427 | + | 2.81468i | 0.0144917 | + | 0.209794i | ||||
\(181\) | −1.40986 | − | 0.351518i | −0.104794 | − | 0.0261281i | 0.189172 | − | 0.981944i | \(-0.439420\pi\) |
−0.293966 | + | 0.955816i | \(0.594975\pi\) | |||||||
\(182\) | 6.19995 | + | 23.1385i | 0.459571 | + | 1.71514i | ||||
\(183\) | 9.17242 | − | 3.52096i | 0.678045 | − | 0.260277i | ||||
\(184\) | −0.150171 | + | 4.30033i | −0.0110707 | + | 0.317025i | ||||
\(185\) | −7.27252 | − | 10.4050i | −0.534686 | − | 0.764989i | ||||
\(186\) | 1.12058 | − | 7.97334i | 0.0821649 | − | 0.584633i | ||||
\(187\) | 6.01309 | + | 0.738315i | 0.439721 | + | 0.0539909i | ||||
\(188\) | 5.07545 | − | 2.15440i | 0.370165 | − | 0.157126i | ||||
\(189\) | −8.10724 | + | 24.9515i | −0.589715 | + | 1.81496i | ||||
\(190\) | −9.47079 | − | 2.30309i | −0.687083 | − | 0.167084i | ||||
\(191\) | −3.03346 | − | 9.33602i | −0.219493 | − | 0.675531i | −0.998804 | − | 0.0488931i | \(-0.984431\pi\) |
0.779311 | − | 0.626638i | \(-0.215569\pi\) | |||||||
\(192\) | −0.864962 | − | 0.995025i | −0.0624233 | − | 0.0718098i | ||||
\(193\) | 4.63284 | − | 9.93516i | 0.333479 | − | 0.715148i | −0.666048 | − | 0.745909i | \(-0.732015\pi\) |
0.999527 | + | 0.0307610i | \(0.00979306\pi\) | |||||||
\(194\) | −2.10239 | + | 2.17709i | −0.150943 | + | 0.156306i | ||||
\(195\) | −10.8886 | + | 10.4972i | −0.779750 | + | 0.751721i | ||||
\(196\) | 8.27711 | + | 12.2713i | 0.591222 | + | 0.876523i | ||||
\(197\) | 8.77402 | + | 10.8350i | 0.625123 | + | 0.771963i | 0.987079 | − | 0.160232i | \(-0.0512243\pi\) |
−0.361956 | + | 0.932195i | \(0.617891\pi\) | |||||||
\(198\) | 2.72031 | + | 0.142565i | 0.193324 | + | 0.0101317i | ||||
\(199\) | −13.9281 | − | 16.5988i | −0.987335 | − | 1.17666i | −0.984271 | − | 0.176665i | \(-0.943469\pi\) |
−0.00306446 | − | 0.999995i | \(-0.500975\pi\) | |||||||
\(200\) | −0.444213 | + | 4.98023i | −0.0314106 | + | 0.352155i | ||||
\(201\) | 7.62000 | − | 13.1982i | 0.537473 | − | 0.930931i | ||||
\(202\) | −10.4729 | − | 6.80116i | −0.736869 | − | 0.478528i | ||||
\(203\) | 14.0783 | + | 2.73655i | 0.988105 | + | 0.192068i | ||||
\(204\) | −2.66134 | + | 2.57002i | −0.186331 | + | 0.179938i | ||||
\(205\) | −2.79872 | − | 15.9513i | −0.195471 | − | 1.11409i | ||||
\(206\) | −6.78430 | + | 10.0581i | −0.472685 | + | 0.700784i | ||||
\(207\) | 5.40865 | − | 0.473196i | 0.375927 | − | 0.0328894i | ||||
\(208\) | −0.802559 | + | 5.06716i | −0.0556475 | + | 0.351344i | ||||
\(209\) | −3.31397 | + | 8.80767i | −0.229232 | + | 0.609239i | ||||
\(210\) | −6.25971 | + | 12.2597i | −0.431961 | + | 0.846000i | ||||
\(211\) | −9.62407 | − | 15.4017i | −0.662548 | − | 1.06030i | −0.993186 | − | 0.116541i | \(-0.962819\pi\) |
0.330638 | − | 0.943758i | \(-0.392736\pi\) | |||||||
\(212\) | 1.22779 | − | 9.99954i | 0.0843249 | − | 0.686771i | ||||
\(213\) | −2.71647 | − | 0.830508i | −0.186129 | − | 0.0569055i | ||||
\(214\) | 4.14454 | − | 7.79474i | 0.283315 | − | 0.532837i | ||||
\(215\) | 1.77722 | + | 14.5763i | 0.121205 | + | 0.994097i | ||||
\(216\) | −3.75971 | + | 4.17558i | −0.255816 | + | 0.284113i | ||||
\(217\) | −17.9454 | + | 22.1607i | −1.21821 | + | 1.50436i | ||||
\(218\) | −12.2000 | − | 1.06736i | −0.826287 | − | 0.0722907i | ||||
\(219\) | −4.25502 | + | 17.0659i | −0.287527 | + | 1.15321i | ||||
\(220\) | 4.72114 | + | 1.00769i | 0.318299 | + | 0.0679383i | ||||
\(221\) | 14.3176 | + | 1.50484i | 0.963107 | + | 0.101227i | ||||
\(222\) | 1.42819 | − | 7.34743i | 0.0958542 | − | 0.493127i | ||||
\(223\) | −24.2098 | + | 7.40168i | −1.62121 | + | 0.495653i | −0.965727 | − | 0.259559i | \(-0.916423\pi\) |
−0.655481 | + | 0.755212i | \(0.727534\pi\) | |||||||
\(224\) | 0.810807 | + | 4.59831i | 0.0541743 | + | 0.307238i | ||||
\(225\) | 6.30534 | − | 0.209497i | 0.420356 | − | 0.0139665i | ||||
\(226\) | −4.31796 | − | 3.62320i | −0.287226 | − | 0.241011i | ||||
\(227\) | 14.1018 | − | 7.18524i | 0.935972 | − | 0.476901i | 0.0816588 | − | 0.996660i | \(-0.473978\pi\) |
0.854313 | + | 0.519759i | \(0.173978\pi\) | |||||||
\(228\) | −2.90644 | − | 4.95773i | −0.192484 | − | 0.328334i | ||||
\(229\) | −2.56322 | + | 3.52796i | −0.169382 | + | 0.233134i | −0.885266 | − | 0.465085i | \(-0.846024\pi\) |
0.715884 | + | 0.698219i | \(0.246024\pi\) | |||||||
\(230\) | 9.59769 | + | 0.679303i | 0.632853 | + | 0.0447919i | ||||
\(231\) | 11.0182 | + | 7.43188i | 0.724945 | + | 0.488982i | ||||
\(232\) | 2.51606 | + | 1.76177i | 0.165188 | + | 0.115666i | ||||
\(233\) | 0.437612 | − | 1.27092i | 0.0286689 | − | 0.0832606i | −0.930267 | − | 0.366883i | \(-0.880425\pi\) |
0.958936 | + | 0.283622i | \(0.0915361\pi\) | |||||||
\(234\) | 6.46931 | + | 0.225913i | 0.422912 | + | 0.0147684i | ||||
\(235\) | −4.40862 | − | 11.5140i | −0.287587 | − | 0.751090i | ||||
\(236\) | 7.65071 | − | 6.88873i | 0.498019 | − | 0.448418i | ||||
\(237\) | 16.3080 | − | 3.76500i | 1.05932 | − | 0.244563i | ||||
\(238\) | 12.7668 | − | 2.94745i | 0.827550 | − | 0.191055i | ||||
\(239\) | 7.36089 | − | 6.62777i | 0.476136 | − | 0.428715i | −0.395798 | − | 0.918337i | \(-0.629532\pi\) |
0.871935 | + | 0.489623i | \(0.162865\pi\) | |||||||
\(240\) | −2.29266 | + | 1.85335i | −0.147991 | + | 0.119633i | ||||
\(241\) | −7.90313 | − | 0.275983i | −0.509085 | − | 0.0177777i | −0.220794 | − | 0.975320i | \(-0.570865\pi\) |
−0.288291 | + | 0.957543i | \(0.593087\pi\) | |||||||
\(242\) | −2.06380 | + | 5.99372i | −0.132666 | + | 0.385291i | ||||
\(243\) | 9.89553 | + | 6.92893i | 0.634799 | + | 0.444491i | ||||
\(244\) | −6.17806 | − | 4.16715i | −0.395510 | − | 0.266775i | ||||
\(245\) | 28.0836 | − | 17.5155i | 1.79419 | − | 1.11903i | ||||
\(246\) | 5.61265 | − | 7.72515i | 0.357850 | − | 0.492538i | ||||
\(247\) | −7.50864 | + | 21.0643i | −0.477764 | + | 1.34029i | ||||
\(248\) | −5.44144 | + | 2.77255i | −0.345532 | + | 0.176057i | ||||
\(249\) | −0.547001 | − | 0.458989i | −0.0346648 | − | 0.0290872i | ||||
\(250\) | 11.0935 | + | 1.39073i | 0.701615 | + | 0.0879572i | ||||
\(251\) | 2.92918 | + | 16.6122i | 0.184888 | + | 1.04855i | 0.926099 | + | 0.377280i | \(0.123141\pi\) |
−0.741211 | + | 0.671272i | \(0.765748\pi\) | |||||||
\(252\) | 5.63406 | − | 1.72251i | 0.354913 | − | 0.108508i | ||||
\(253\) | 1.77256 | − | 9.11904i | 0.111440 | − | 0.573309i | ||||
\(254\) | −14.1371 | − | 1.48587i | −0.887041 | − | 0.0932318i | ||||
\(255\) | 5.53035 | + | 6.15255i | 0.346324 | + | 0.385288i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | −8.16914 | − | 0.714707i | −0.509577 | − | 0.0445822i | −0.170532 | − | 0.985352i | \(-0.554549\pi\) |
−0.339045 | + | 0.940770i | \(0.610104\pi\) | |||||||
\(258\) | −5.44870 | + | 6.72859i | −0.339222 | + | 0.418904i | ||||
\(259\) | −17.7375 | + | 19.6995i | −1.10215 | + | 1.22407i | ||||
\(260\) | 11.2591 | + | 2.19845i | 0.698261 | + | 0.136342i | ||||
\(261\) | 1.81947 | − | 3.42192i | 0.112622 | − | 0.211812i | ||||
\(262\) | −19.8153 | − | 6.05814i | −1.22419 | − | 0.374273i | ||||
\(263\) | 3.44170 | − | 28.0304i | 0.212224 | − | 1.72843i | −0.382030 | − | 0.924150i | \(-0.624775\pi\) |
0.594254 | − | 0.804277i | \(-0.297447\pi\) | |||||||
\(264\) | 1.50834 | + | 2.41385i | 0.0928320 | + | 0.148562i | ||||
\(265\) | −22.2472 | − | 3.54293i | −1.36664 | − | 0.217640i | ||||
\(266\) | −0.219978 | + | 20.3516i | −0.0134877 | + | 1.24784i | ||||
\(267\) | −1.26280 | + | 7.97302i | −0.0772822 | + | 0.487941i | ||||
\(268\) | −11.5153 | + | 1.00746i | −0.703408 | + | 0.0615402i | ||||
\(269\) | 11.5141 | − | 17.0704i | 0.702027 | − | 1.04080i | −0.294345 | − | 0.955699i | \(-0.595102\pi\) |
0.996373 | − | 0.0850988i | \(-0.0271206\pi\) | |||||||
\(270\) | 9.03041 | + | 8.73535i | 0.549573 | + | 0.531617i | ||||
\(271\) | 6.31551 | − | 6.09882i | 0.383640 | − | 0.370477i | −0.477685 | − | 0.878531i | \(-0.658524\pi\) |
0.861325 | + | 0.508054i | \(0.169635\pi\) | |||||||
\(272\) | 2.75460 | + | 0.535439i | 0.167022 | + | 0.0324658i | ||||
\(273\) | 26.4873 | + | 17.2010i | 1.60308 | + | 1.04105i | ||||
\(274\) | 3.24492 | − | 5.62036i | 0.196033 | − | 0.339539i | ||||
\(275\) | 2.62918 | − | 10.4695i | 0.158545 | − | 0.631334i | ||||
\(276\) | 3.64660 | + | 4.34585i | 0.219500 | + | 0.261590i | ||||
\(277\) | 2.14777 | + | 0.112560i | 0.129047 | + | 0.00676307i | 0.116750 | − | 0.993161i | \(-0.462752\pi\) |
0.0122969 | + | 0.999924i | \(0.496086\pi\) | |||||||
\(278\) | 4.50914 | + | 5.56832i | 0.270440 | + | 0.333966i | ||||
\(279\) | 4.30896 | + | 6.38830i | 0.257971 | + | 0.382458i | ||||
\(280\) | 10.3404 | − | 1.44432i | 0.617956 | − | 0.0863145i | ||||
\(281\) | −9.37335 | + | 9.70639i | −0.559167 | + | 0.579035i | −0.938089 | − | 0.346394i | \(-0.887406\pi\) |
0.378922 | + | 0.925429i | \(0.376295\pi\) | |||||||
\(282\) | 3.07221 | − | 6.58837i | 0.182947 | − | 0.392332i | ||||
\(283\) | −3.19440 | − | 3.67474i | −0.189888 | − | 0.218441i | 0.651821 | − | 0.758373i | \(-0.274005\pi\) |
−0.841708 | + | 0.539932i | \(0.818450\pi\) | |||||||
\(284\) | 0.665789 | + | 2.04909i | 0.0395073 | + | 0.121591i | ||||
\(285\) | −11.3110 | + | 6.09857i | −0.670009 | + | 0.361248i | ||||
\(286\) | 3.42265 | − | 10.5338i | 0.202386 | − | 0.622879i | ||||
\(287\) | −31.1292 | + | 13.2136i | −1.83750 | + | 0.779972i | ||||
\(288\) | 1.25236 | + | 0.153770i | 0.0737960 | + | 0.00906101i | ||||
\(289\) | −1.27002 | + | 9.03669i | −0.0747073 | + | 0.531570i | ||||
\(290\) | 4.13802 | − | 5.48168i | 0.242993 | − | 0.321895i | ||||
\(291\) | −0.139256 | + | 3.98778i | −0.00816335 | + | 0.233768i | ||||
\(292\) | 12.4544 | − | 4.78080i | 0.728840 | − | 0.279775i | ||||
\(293\) | −4.92684 | − | 18.3872i | −0.287829 | − | 1.07419i | −0.946747 | − | 0.321977i | \(-0.895653\pi\) |
0.658919 | − | 0.752214i | \(-0.271014\pi\) | |||||||
\(294\) | 18.9355 | + | 4.72114i | 1.10434 | + | 0.275342i | ||||
\(295\) | −14.7823 | − | 17.6472i | −0.860659 | − | 1.02746i | ||||
\(296\) | −5.18638 | + | 2.30913i | −0.301452 | + | 0.134215i | ||||
\(297\) | 9.42718 | − | 7.63398i | 0.547021 | − | 0.442969i | ||||
\(298\) | −1.12421 | − | 9.15593i | −0.0651236 | − | 0.530389i | ||||
\(299\) | 3.83338 | − | 21.7402i | 0.221690 | − | 1.25727i | ||||
\(300\) | 3.95831 | + | 5.27140i | 0.228533 | + | 0.304345i | ||||
\(301\) | 28.8138 | − | 10.4874i | 1.66080 | − | 0.604481i | ||||
\(302\) | −2.85220 | + | 12.3542i | −0.164126 | + | 0.710906i | ||||
\(303\) | −16.2611 | + | 2.57550i | −0.934173 | + | 0.147959i | ||||
\(304\) | −1.81586 | + | 3.96266i | −0.104147 | + | 0.227274i | ||||
\(305\) | −9.80590 | + | 13.4727i | −0.561484 | + | 0.771442i | ||||
\(306\) | 0.246987 | − | 3.53208i | 0.0141193 | − | 0.201916i | ||||
\(307\) | −18.2931 | − | 8.53023i | −1.04404 | − | 0.486846i | −0.176549 | − | 0.984292i | \(-0.556493\pi\) |
−0.867495 | + | 0.497446i | \(0.834271\pi\) | |||||||
\(308\) | −0.175929 | − | 10.0790i | −0.0100245 | − | 0.574303i | ||||
\(309\) | 2.22614 | + | 15.8398i | 0.126641 | + | 0.901097i | ||||
\(310\) | 5.76072 | + | 12.3813i | 0.327187 | + | 0.703209i | ||||
\(311\) | 25.2091 | − | 5.35835i | 1.42948 | − | 0.303844i | 0.572798 | − | 0.819697i | \(-0.305858\pi\) |
0.856677 | + | 0.515852i | \(0.172525\pi\) | |||||||
\(312\) | 3.68390 | + | 5.67271i | 0.208560 | + | 0.321154i | ||||
\(313\) | 6.36047 | + | 27.5502i | 0.359515 | + | 1.55723i | 0.765552 | + | 0.643374i | \(0.222466\pi\) |
−0.406036 | + | 0.913857i | \(0.633089\pi\) | |||||||
\(314\) | 0.818084 | + | 2.02483i | 0.0461671 | + | 0.114268i | ||||
\(315\) | −3.39885 | − | 12.7278i | −0.191503 | − | 0.717129i | ||||
\(316\) | −9.43400 | − | 8.49441i | −0.530704 | − | 0.477848i | ||||
\(317\) | −11.1723 | − | 6.19292i | −0.627501 | − | 0.347829i | 0.138791 | − | 0.990322i | \(-0.455678\pi\) |
−0.766292 | + | 0.642492i | \(0.777900\pi\) | |||||||
\(318\) | −7.61859 | − | 10.8805i | −0.427230 | − | 0.610147i | ||||
\(319\) | −4.77010 | − | 4.60643i | −0.267074 | − | 0.257910i | ||||
\(320\) | 2.14892 | + | 0.618164i | 0.120128 | + | 0.0345564i | ||||
\(321\) | −2.81576 | − | 11.2934i | −0.157161 | − | 0.630337i | ||||
\(322\) | −3.14301 | − | 19.8442i | −0.175153 | − | 1.10587i | ||||
\(323\) | 11.3713 | + | 4.50663i | 0.632714 | + | 0.250756i | ||||
\(324\) | 3.62266i | 0.201259i | ||||||||
\(325\) | 5.81268 | − | 24.9844i | 0.322429 | − | 1.38588i | ||||
\(326\) | −4.43004 | − | 12.1714i | −0.245357 | − | 0.674114i | ||||
\(327\) | −12.8949 | + | 9.71700i | −0.713089 | + | 0.537351i | ||||
\(328\) | −7.24151 | − | 0.126401i | −0.399845 | − | 0.00697933i | ||||
\(329\) | −21.3437 | + | 14.3965i | −1.17672 | + | 0.793705i | ||||
\(330\) | 5.51465 | − | 3.17766i | 0.303571 | − | 0.174924i | ||||
\(331\) | 28.7032 | − | 3.01683i | 1.57767 | − | 0.165820i | 0.725180 | − | 0.688560i | \(-0.241757\pi\) |
0.852492 | + | 0.522740i | \(0.175090\pi\) | |||||||
\(332\) | −0.0472037 | + | 0.539541i | −0.00259064 | + | 0.0296111i | ||||
\(333\) | 3.68937 | + | 6.14014i | 0.202176 | + | 0.336477i | ||||
\(334\) | 2.51876 | − | 11.8499i | 0.137821 | − | 0.648395i | ||||
\(335\) | 1.33089 | + | 25.8130i | 0.0727142 | + | 1.41032i | ||||
\(336\) | 4.85103 | + | 3.79004i | 0.264645 | + | 0.206763i | ||||
\(337\) | 3.60715 | + | 2.71818i | 0.196494 | + | 0.148069i | 0.695491 | − | 0.718535i | \(-0.255187\pi\) |
−0.498997 | + | 0.866604i | \(0.666298\pi\) | |||||||
\(338\) | 3.89445 | − | 12.7382i | 0.211830 | − | 0.692866i | ||||
\(339\) | −7.42701 | + | 0.259357i | −0.403380 | + | 0.0140863i | ||||
\(340\) | 1.41669 | − | 6.11273i | 0.0768307 | − | 0.331509i | ||||
\(341\) | 12.5394 | − | 4.07428i | 0.679044 | − | 0.220635i | ||||
\(342\) | 5.24190 | + | 1.66477i | 0.283449 | + | 0.0900204i | ||||
\(343\) | −25.7592 | − | 25.7592i | −1.39087 | − | 1.39087i | ||||
\(344\) | 6.55100 | + | 0.458091i | 0.353207 | + | 0.0246986i | ||||
\(345\) | 10.0029 | − | 7.80148i | 0.538537 | − | 0.420018i | ||||
\(346\) | 3.75607 | − | 7.70108i | 0.201927 | − | 0.414013i | ||||
\(347\) | −0.574342 | + | 32.9041i | −0.0308323 | + | 1.76638i | 0.453272 | + | 0.891372i | \(0.350257\pi\) |
−0.484105 | + | 0.875010i | \(0.660855\pi\) | |||||||
\(348\) | 4.01941 | − | 0.493522i | 0.215463 | − | 0.0264555i | ||||
\(349\) | −20.7271 | + | 11.9668i | −1.10949 | + | 0.640567i | −0.938698 | − | 0.344740i | \(-0.887967\pi\) |
−0.170796 | + | 0.985306i | \(0.554634\pi\) | |||||||
\(350\) | −2.40102 | − | 23.2225i | −0.128340 | − | 1.24129i | ||||
\(351\) | 22.0822 | − | 18.5292i | 1.17866 | − | 0.989014i | ||||
\(352\) | 0.843556 | − | 1.98729i | 0.0449617 | − | 0.105923i | ||||
\(353\) | −18.6100 | − | 7.14370i | −0.990509 | − | 0.380221i | −0.191469 | − | 0.981499i | \(-0.561325\pi\) |
−0.799040 | + | 0.601278i | \(0.794658\pi\) | |||||||
\(354\) | 1.41879 | − | 13.4989i | 0.0754077 | − | 0.717456i | ||||
\(355\) | 4.63219 | − | 1.32401i | 0.245851 | − | 0.0702714i | ||||
\(356\) | 5.50312 | − | 2.68405i | 0.291665 | − | 0.142254i | ||||
\(357\) | 9.90842 | − | 14.1507i | 0.524409 | − | 0.748934i | ||||
\(358\) | 13.4003 | − | 2.60476i | 0.708230 | − | 0.137666i | ||||
\(359\) | 4.01955 | + | 1.62400i | 0.212144 | + | 0.0857117i | 0.478219 | − | 0.878241i | \(-0.341283\pi\) |
−0.266075 | + | 0.963952i | \(0.585727\pi\) | |||||||
\(360\) | 0.443722 | − | 2.78628i | 0.0233862 | − | 0.146850i | ||||
\(361\) | −10.9627 | + | 15.5184i | −0.576982 | + | 0.816757i | ||||
\(362\) | 1.29465 | + | 0.659659i | 0.0680455 | + | 0.0346709i | ||||
\(363\) | 3.26557 | + | 7.69320i | 0.171398 | + | 0.403788i | ||||
\(364\) | −0.836009 | − | 23.9402i | −0.0438188 | − | 1.25481i | ||||
\(365\) | −9.68789 | − | 28.2133i | −0.507087 | − | 1.47675i | ||||
\(366\) | −9.72938 | + | 1.36737i | −0.508563 | + | 0.0714738i | ||||
\(367\) | −9.37002 | + | 16.9040i | −0.489111 | + | 0.882380i | 0.510634 | + | 0.859798i | \(0.329411\pi\) |
−0.999745 | + | 0.0225816i | \(0.992811\pi\) | |||||||
\(368\) | 1.11369 | − | 4.15634i | 0.0580549 | − | 0.216664i | ||||
\(369\) | 0.955230 | + | 9.08840i | 0.0497273 | + | 0.473123i | ||||
\(370\) | 4.74552 | + | 11.7743i | 0.246708 | + | 0.612115i | ||||
\(371\) | 3.28141 | + | 46.9264i | 0.170362 | + | 2.43630i | ||||
\(372\) | −2.88547 | + | 7.51691i | −0.149605 | + | 0.389733i | ||||
\(373\) | 8.14105 | − | 12.5361i | 0.421528 | − | 0.649096i | −0.562565 | − | 0.826753i | \(-0.690185\pi\) |
0.984092 | + | 0.177658i | \(0.0568520\pi\) | |||||||
\(374\) | −5.69289 | − | 2.07204i | −0.294372 | − | 0.107143i | ||||
\(375\) | 12.0961 | − | 8.42405i | 0.624638 | − | 0.435016i | ||||
\(376\) | −5.43000 | + | 0.957455i | −0.280031 | + | 0.0493770i | ||||
\(377\) | −11.5247 | − | 10.7470i | −0.593552 | − | 0.553496i | ||||
\(378\) | 13.5123 | − | 22.4883i | 0.694999 | − | 1.15667i | ||||
\(379\) | 5.36128 | + | 3.89520i | 0.275391 | + | 0.200083i | 0.716904 | − | 0.697171i | \(-0.245558\pi\) |
−0.441514 | + | 0.897254i | \(0.645558\pi\) | |||||||
\(380\) | 8.70997 | + | 4.37452i | 0.446812 | + | 0.224408i | ||||
\(381\) | −15.1621 | + | 11.0159i | −0.776776 | + | 0.564361i | ||||
\(382\) | 0.855562 | + | 9.77912i | 0.0437744 | + | 0.500343i | ||||
\(383\) | 1.24420 | + | 6.40085i | 0.0635756 | + | 0.327068i | 0.999697 | − | 0.0246085i | \(-0.00783393\pi\) |
−0.936122 | + | 0.351677i | \(0.885612\pi\) | |||||||
\(384\) | 0.618961 | + | 1.16410i | 0.0315862 | + | 0.0594051i | ||||
\(385\) | −22.5369 | − | 0.412473i | −1.14859 | − | 0.0210216i | ||||
\(386\) | −6.74902 | + | 8.63836i | −0.343516 | + | 0.439681i | ||||
\(387\) | −0.433656 | − | 8.27465i | −0.0220440 | − | 0.420624i | ||||
\(388\) | 2.53824 | − | 1.64835i | 0.128860 | − | 0.0836825i | ||||
\(389\) | −32.7878 | + | 13.2471i | −1.66241 | + | 0.671656i | −0.997184 | − | 0.0749896i | \(-0.976108\pi\) |
−0.665222 | + | 0.746645i | \(0.731663\pi\) | |||||||
\(390\) | 12.9709 | − | 7.77877i | 0.656807 | − | 0.393893i | ||||
\(391\) | −11.8109 | − | 2.51048i | −0.597302 | − | 0.126961i | ||||
\(392\) | −5.30452 | − | 13.8188i | −0.267919 | − | 0.697953i | ||||
\(393\) | −24.7590 | + | 11.5453i | −1.24893 | + | 0.582385i | ||||
\(394\) | −6.11180 | − | 12.5310i | −0.307908 | − | 0.631305i | ||||
\(395\) | −19.7360 | + | 20.4026i | −0.993026 | + | 1.02657i | ||||
\(396\) | −2.61852 | − | 0.750848i | −0.131585 | − | 0.0377315i | ||||
\(397\) | −16.8348 | − | 10.1154i | −0.844914 | − | 0.507675i | 0.0256844 | − | 0.999670i | \(-0.491824\pi\) |
−0.870598 | + | 0.491995i | \(0.836268\pi\) | |||||||
\(398\) | 9.83718 | + | 19.3065i | 0.493093 | + | 0.967750i | ||||
\(399\) | 17.7386 | + | 20.1341i | 0.888040 | + | 1.00797i | ||||
\(400\) | 1.55314 | − | 4.75266i | 0.0776568 | − | 0.237633i | ||||
\(401\) | 21.9433 | − | 26.1511i | 1.09580 | − | 1.30592i | 0.147317 | − | 0.989089i | \(-0.452936\pi\) |
0.948482 | − | 0.316832i | \(-0.102619\pi\) | |||||||
\(402\) | −10.3937 | + | 11.1458i | −0.518388 | + | 0.555903i | ||||
\(403\) | 29.6243 | − | 10.2005i | 1.47569 | − | 0.508121i | ||||
\(404\) | 8.67453 | + | 8.98274i | 0.431574 | + | 0.446908i | ||||
\(405\) | 8.09533 | + | 0.289558i | 0.402260 | + | 0.0143883i | ||||
\(406\) | −13.1019 | − | 5.83335i | −0.650237 | − | 0.289504i | ||||
\(407\) | 11.8390 | − | 3.17224i | 0.586836 | − | 0.157242i | ||||
\(408\) | 3.17126 | − | 1.90548i | 0.157001 | − | 0.0943355i | ||||
\(409\) | −8.90531 | − | 5.56465i | −0.440339 | − | 0.275154i | 0.291579 | − | 0.956547i | \(-0.405819\pi\) |
−0.731918 | + | 0.681392i | \(0.761375\pi\) | |||||||
\(410\) | −0.861273 | + | 16.1720i | −0.0425352 | + | 0.798681i | ||||
\(411\) | −1.77896 | − | 8.36937i | −0.0877498 | − | 0.412830i | ||||
\(412\) | 8.87301 | − | 8.27422i | 0.437142 | − | 0.407641i | ||||
\(413\) | −28.9293 | + | 38.3905i | −1.42352 | + | 1.88907i | ||||
\(414\) | −5.37648 | − | 0.755615i | −0.264239 | − | 0.0371364i | ||||
\(415\) | 1.20191 | + | 0.148609i | 0.0589992 | + | 0.00729491i | ||||
\(416\) | 1.92185 | − | 4.75675i | 0.0942266 | − | 0.233219i | ||||
\(417\) | 9.33031 | + | 1.47778i | 0.456907 | + | 0.0723670i | ||||
\(418\) | 5.21033 | − | 7.83645i | 0.254845 | − | 0.383293i | ||||
\(419\) | 10.6618 | + | 14.6747i | 0.520864 | + | 0.716908i | 0.985704 | − | 0.168487i | \(-0.0538881\pi\) |
−0.464840 | + | 0.885395i | \(0.653888\pi\) | |||||||
\(420\) | 8.85711 | − | 10.5374i | 0.432182 | − | 0.514170i | ||||
\(421\) | −3.67953 | + | 12.8320i | −0.179329 | + | 0.625395i | 0.819315 | + | 0.573343i | \(0.194354\pi\) |
−0.998644 | + | 0.0520519i | \(0.983424\pi\) | |||||||
\(422\) | 5.91277 | + | 17.1719i | 0.287829 | + | 0.835917i | ||||
\(423\) | 2.03405 | + | 6.65308i | 0.0988989 | + | 0.323484i | ||||
\(424\) | −3.44573 | + | 9.46706i | −0.167339 | + | 0.459761i | ||||
\(425\) | −13.5465 | − | 3.65438i | −0.657102 | − | 0.177263i | ||||
\(426\) | 2.46002 | + | 1.42030i | 0.119189 | + | 0.0688135i | ||||
\(427\) | 32.0296 | + | 13.5957i | 1.55002 | + | 0.657944i | ||||
\(428\) | −5.79175 | + | 6.66264i | −0.279955 | + | 0.322051i | ||||
\(429\) | −5.93947 | − | 13.3403i | −0.286760 | − | 0.644075i | ||||
\(430\) | 1.54729 | − | 14.6025i | 0.0746169 | − | 0.704196i | ||||
\(431\) | −7.13997 | − | 24.9000i | −0.343920 | − | 1.19939i | −0.923218 | − | 0.384277i | \(-0.874451\pi\) |
0.579298 | − | 0.815116i | \(-0.303327\pi\) | |||||||
\(432\) | 4.60265 | − | 3.22281i | 0.221445 | − | 0.155058i | ||||
\(433\) | 14.2351 | − | 0.248475i | 0.684095 | − | 0.0119409i | 0.325648 | − | 0.945491i | \(-0.394417\pi\) |
0.358447 | + | 0.933550i | \(0.383306\pi\) | |||||||
\(434\) | 22.4705 | − | 17.5559i | 1.07862 | − | 0.842708i | ||||
\(435\) | −0.781572 | − | 9.02138i | −0.0374735 | − | 0.432542i | ||||
\(436\) | 11.6472 | + | 3.78440i | 0.557799 | + | 0.181240i | ||||
\(437\) | 8.10995 | − | 16.9122i | 0.387952 | − | 0.809019i | ||||
\(438\) | 7.98496 | − | 15.6714i | 0.381536 | − | 0.748807i | ||||
\(439\) | 14.9070 | − | 9.31493i | 0.711473 | − | 0.444577i | −0.125306 | − | 0.992118i | \(-0.539991\pi\) |
0.836779 | + | 0.547541i | \(0.184436\pi\) | |||||||
\(440\) | −4.37346 | − | 2.04389i | −0.208496 | − | 0.0974384i | ||||
\(441\) | −16.4904 | + | 8.76809i | −0.785256 | + | 0.417528i | ||||
\(442\) | −13.6121 | − | 4.68703i | −0.647463 | − | 0.222939i | ||||
\(443\) | 5.64626 | + | 12.1085i | 0.268262 | + | 0.575290i | 0.993581 | − | 0.113123i | \(-0.0360855\pi\) |
−0.725319 | + | 0.688413i | \(0.758308\pi\) | |||||||
\(444\) | −3.04440 | + | 6.83784i | −0.144481 | + | 0.324509i | ||||
\(445\) | −5.55802 | − | 12.5120i | −0.263475 | − | 0.593126i | ||||
\(446\) | 25.2543 | − | 1.76595i | 1.19583 | − | 0.0836203i | ||||
\(447\) | −9.17880 | − | 7.97901i | −0.434142 | − | 0.377394i | ||||
\(448\) | 0.244370 | − | 4.66285i | 0.0115454 | − | 0.220299i | ||||
\(449\) | −17.1451 | − | 29.6963i | −0.809129 | − | 1.40145i | −0.913468 | − | 0.406911i | \(-0.866606\pi\) |
0.104339 | − | 0.994542i | \(-0.466727\pi\) | |||||||
\(450\) | −6.19086 | − | 1.21427i | −0.291840 | − | 0.0572410i | ||||
\(451\) | 15.3986 | + | 2.71519i | 0.725093 | + | 0.127854i | ||||
\(452\) | 3.39225 | + | 4.50166i | 0.159558 | + | 0.211740i | ||||
\(453\) | 8.10434 | + | 14.6206i | 0.380775 | + | 0.686936i | ||||
\(454\) | −15.3567 | + | 3.82886i | −0.720727 | + | 0.179698i | ||||
\(455\) | −53.5644 | − | 0.0453553i | −2.51114 | − | 0.00212629i | ||||
\(456\) | 1.71670 | + | 5.48447i | 0.0803920 | + | 0.256834i | ||||
\(457\) | −8.05303 | + | 8.05303i | −0.376705 | + | 0.376705i | −0.869912 | − | 0.493207i | \(-0.835825\pi\) |
0.493207 | + | 0.869912i | \(0.335825\pi\) | |||||||
\(458\) | 3.29114 | − | 2.86094i | 0.153785 | − | 0.133683i | ||||
\(459\) | −9.70727 | − | 12.4247i | −0.453097 | − | 0.579937i | ||||
\(460\) | −9.19889 | − | 2.82090i | −0.428901 | − | 0.131525i | ||||
\(461\) | −20.7526 | − | 11.0343i | −0.966543 | − | 0.513920i | −0.0903655 | − | 0.995909i | \(-0.528804\pi\) |
−0.876177 | + | 0.481989i | \(0.839915\pi\) | |||||||
\(462\) | −9.06401 | − | 9.71996i | −0.421696 | − | 0.452214i | ||||
\(463\) | −12.2787 | + | 0.643498i | −0.570639 | + | 0.0299059i | −0.335474 | − | 0.942050i | \(-0.608896\pi\) |
−0.235165 | + | 0.971955i | \(0.575563\pi\) | |||||||
\(464\) | −2.05527 | − | 2.28260i | −0.0954134 | − | 0.105967i | ||||
\(465\) | 16.5669 | + | 7.04881i | 0.768273 | + | 0.326881i | ||||
\(466\) | −0.712290 | + | 1.13990i | −0.0329962 | + | 0.0528050i | ||||
\(467\) | 12.6077 | + | 10.2095i | 0.583414 | + | 0.472439i | 0.875012 | − | 0.484102i | \(-0.160854\pi\) |
−0.291598 | + | 0.956541i | \(0.594187\pi\) | |||||||
\(468\) | −6.25269 | − | 1.67540i | −0.289031 | − | 0.0774455i | ||||
\(469\) | 51.8823 | − | 14.8770i | 2.39570 | − | 0.686957i | ||||
\(470\) | 1.70555 | + | 12.2106i | 0.0786710 | + | 0.563234i | ||||
\(471\) | 2.58784 | + | 1.26217i | 0.119241 | + | 0.0581578i | ||||
\(472\) | −9.00425 | + | 4.99114i | −0.414454 | + | 0.229736i | ||||
\(473\) | −13.8142 | − | 3.18927i | −0.635179 | − | 0.146643i | ||||
\(474\) | −16.7370 | −0.768754 | ||||||||
\(475\) | 10.4717 | − | 19.1140i | 0.480473 | − | 0.877009i | ||||
\(476\) | −13.1026 | −0.600558 | ||||||||
\(477\) | 12.3860 | + | 2.85954i | 0.567116 | + | 0.130929i | ||||
\(478\) | −8.66315 | + | 4.80206i | −0.396243 | + | 0.219641i | ||||
\(479\) | 35.9478 | + | 17.5329i | 1.64250 | + | 0.801100i | 0.999375 | + | 0.0353372i | \(0.0112505\pi\) |
0.643123 | + | 0.765763i | \(0.277638\pi\) | |||||||
\(480\) | 2.65081 | − | 1.29011i | 0.120992 | − | 0.0588852i | ||||
\(481\) | 27.9976 | − | 8.02818i | 1.27658 | − | 0.366053i | ||||
\(482\) | 7.63849 | + | 2.04673i | 0.347924 | + | 0.0932259i | ||||
\(483\) | −20.5859 | − | 16.6702i | −0.936693 | − | 0.758519i | ||||
\(484\) | 3.35920 | − | 5.37585i | 0.152691 | − | 0.244357i | ||||
\(485\) | −3.48059 | − | 5.80381i | −0.158046 | − | 0.263537i | ||||
\(486\) | −8.08324 | − | 8.97735i | −0.366663 | − | 0.407221i | ||||
\(487\) | 9.84097 | − | 0.515743i | 0.445937 | − | 0.0233706i | 0.171954 | − | 0.985105i | \(-0.444992\pi\) |
0.273983 | + | 0.961734i | \(0.411659\pi\) | |||||||
\(488\) | 5.08231 | + | 5.45011i | 0.230065 | + | 0.246715i | ||||
\(489\) | −15.0781 | − | 8.01715i | −0.681854 | − | 0.362548i | ||||
\(490\) | −31.3039 | + | 10.7492i | −1.41417 | + | 0.485598i | ||||
\(491\) | 1.74084 | + | 2.22817i | 0.0785628 | + | 0.100556i | 0.825687 | − | 0.564129i | \(-0.190788\pi\) |
−0.747124 | + | 0.664685i | \(0.768566\pi\) | |||||||
\(492\) | −7.20658 | + | 6.26459i | −0.324898 | + | 0.282429i | ||||
\(493\) | −6.09472 | + | 6.09472i | −0.274492 | + | 0.274492i | ||||
\(494\) | 12.0546 | − | 18.8353i | 0.542363 | − | 0.847442i | ||||
\(495\) | −1.88717 | + | 5.79143i | −0.0848221 | + | 0.260305i | ||||
\(496\) | 5.92567 | − | 1.47743i | 0.266070 | − | 0.0663388i | ||||
\(497\) | −4.87722 | − | 8.79874i | −0.218773 | − | 0.394678i | ||||
\(498\) | 0.429732 | + | 0.570273i | 0.0192567 | + | 0.0255546i | ||||
\(499\) | −39.6771 | − | 6.99615i | −1.77619 | − | 0.313191i | −0.813053 | − | 0.582190i | \(-0.802196\pi\) |
−0.963140 | + | 0.268999i | \(0.913307\pi\) | |||||||
\(500\) | −10.4963 | − | 3.85058i | −0.469410 | − | 0.172203i | ||||
\(501\) | −7.98607 | − | 13.8323i | −0.356791 | − | 0.617980i | ||||
\(502\) | 0.882827 | − | 16.8453i | 0.0394025 | − | 0.751845i | ||||
\(503\) | −11.7491 | − | 10.2133i | −0.523867 | − | 0.455390i | 0.353346 | − | 0.935493i | \(-0.385044\pi\) |
−0.877212 | + | 0.480102i | \(0.840599\pi\) | |||||||
\(504\) | −5.87714 | + | 0.410970i | −0.261789 | + | 0.0183060i | ||||
\(505\) | 20.7665 | − | 18.6664i | 0.924098 | − | 0.830646i | ||||
\(506\) | −3.77847 | + | 8.48658i | −0.167973 | + | 0.377274i | ||||
\(507\) | −7.42187 | − | 15.9163i | −0.329617 | − | 0.706866i | ||||
\(508\) | 13.4405 | + | 4.62794i | 0.596327 | + | 0.205332i | ||||
\(509\) | 25.5185 | − | 13.5684i | 1.13109 | − | 0.601410i | 0.205016 | − | 0.978759i | \(-0.434275\pi\) |
0.926071 | + | 0.377349i | \(0.123164\pi\) | |||||||
\(510\) | −4.00459 | − | 7.23892i | −0.177326 | − | 0.320545i | ||||
\(511\) | −52.8250 | + | 33.0087i | −2.33684 | + | 1.46022i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | 22.3077 | − | 10.1102i | 0.984908 | − | 0.446375i | ||||
\(514\) | 7.79899 | + | 2.53405i | 0.343999 | + | 0.111772i | ||||
\(515\) | −17.7807 | − | 20.4893i | −0.783510 | − | 0.902868i | ||||
\(516\) | 6.82266 | − | 5.33044i | 0.300351 | − | 0.234660i | ||||
\(517\) | 11.9019 | − | 0.207749i | 0.523447 | − | 0.00913680i | ||||
\(518\) | 21.7143 | − | 15.2045i | 0.954072 | − | 0.668048i | ||||
\(519\) | −3.11375 | − | 10.8589i | −0.136678 | − | 0.476654i | ||||
\(520\) | −10.4760 | − | 4.67485i | −0.459403 | − | 0.205006i | ||||
\(521\) | −4.48717 | − | 10.0784i | −0.196587 | − | 0.441541i | 0.788175 | − | 0.615451i | \(-0.211026\pi\) |
−0.984761 | + | 0.173911i | \(0.944360\pi\) | |||||||
\(522\) | −2.54260 | + | 2.92493i | −0.111287 | + | 0.128021i | ||||
\(523\) | −4.41987 | − | 1.87612i | −0.193268 | − | 0.0820372i | 0.291938 | − | 0.956437i | \(-0.405700\pi\) |
−0.485206 | + | 0.874400i | \(0.661255\pi\) | |||||||
\(524\) | 17.9446 | + | 10.3603i | 0.783915 | + | 0.452593i | ||||
\(525\) | −22.8392 | − | 20.6347i | −0.996786 | − | 0.900571i | ||||
\(526\) | −9.65895 | + | 26.5378i | −0.421150 | + | 1.15710i | ||||
\(527\) | −5.01049 | − | 16.3886i | −0.218260 | − | 0.713897i | ||||
\(528\) | −0.926685 | − | 2.69129i | −0.0403288 | − | 0.117123i | ||||
\(529\) | 1.23612 | − | 4.31086i | 0.0537443 | − | 0.187428i | ||||
\(530\) | 20.8800 | + | 8.45666i | 0.906971 | + | 0.367334i | ||||
\(531\) | 7.63529 | + | 10.5091i | 0.331343 | + | 0.456055i | ||||
\(532\) | 4.79245 | − | 19.7805i | 0.207779 | − | 0.857594i | ||||
\(533\) | 36.6995 | + | 5.81262i | 1.58963 | + | 0.251773i | ||||
\(534\) | 3.02397 | − | 7.48460i | 0.130860 | − | 0.323890i | ||||
\(535\) | 14.4257 | + | 13.4750i | 0.623676 | + | 0.582575i | ||||
\(536\) | 11.4468 | + | 1.60874i | 0.494425 | + | 0.0694870i | ||||
\(537\) | 10.8315 | − | 14.3738i | 0.467412 | − | 0.620276i | ||||
\(538\) | −15.0590 | + | 14.0427i | −0.649239 | + | 0.605425i | ||||
\(539\) | 6.64403 | + | 31.2577i | 0.286179 | + | 1.34637i | ||||
\(540\) | −6.83393 | − | 10.5429i | −0.294086 | − | 0.453693i | ||||
\(541\) | 11.7861 | + | 7.36480i | 0.506726 | + | 0.316638i | 0.759080 | − | 0.650997i | \(-0.225649\pi\) |
−0.252354 | + | 0.967635i | \(0.581205\pi\) | |||||||
\(542\) | −7.52558 | + | 4.52182i | −0.323251 | + | 0.194229i | ||||
\(543\) | 1.85042 | − | 0.495819i | 0.0794092 | − | 0.0212776i | ||||
\(544\) | −2.56355 | − | 1.14137i | −0.109911 | − | 0.0489356i | ||||
\(545\) | 9.38773 | − | 25.7248i | 0.402126 | − | 1.10193i | ||||
\(546\) | −21.9390 | − | 22.7185i | −0.938904 | − | 0.972263i | ||||
\(547\) | 39.3697 | − | 13.5561i | 1.68333 | − | 0.579616i | 0.693319 | − | 0.720631i | \(-0.256148\pi\) |
0.990007 | + | 0.141016i | \(0.0450368\pi\) | |||||||
\(548\) | −4.42606 | + | 4.74637i | −0.189072 | + | 0.202755i | ||||
\(549\) | 6.04399 | − | 7.20295i | 0.257951 | − | 0.307414i | ||||
\(550\) | −4.91692 | + | 9.60973i | −0.209658 | + | 0.409760i | ||||
\(551\) | −6.97173 | − | 11.4302i | −0.297006 | − | 0.486942i | ||||
\(552\) | −2.57554 | − | 5.05478i | −0.109622 | − | 0.215146i | ||||
\(553\) | 50.8083 | + | 30.5287i | 2.16059 | + | 1.29821i | ||||
\(554\) | −2.06740 | − | 0.592818i | −0.0878355 | − | 0.0251864i | ||||
\(555\) | 15.0368 | + | 7.34969i | 0.638275 | + | 0.311977i | ||||
\(556\) | −3.14097 | − | 6.43994i | −0.133207 | − | 0.273114i | ||||
\(557\) | 31.1949 | − | 14.5464i | 1.32177 | − | 0.616352i | 0.371691 | − | 0.928356i | \(-0.378778\pi\) |
0.950081 | + | 0.312004i | \(0.101000\pi\) | |||||||
\(558\) | −2.76147 | − | 7.19388i | −0.116902 | − | 0.304541i | ||||
\(559\) | −32.9546 | − | 7.00472i | −1.39383 | − | 0.296268i | ||||
\(560\) | −10.4003 | − | 0.918779i | −0.439491 | − | 0.0388255i | ||||
\(561\) | −7.40572 | + | 2.99211i | −0.312670 | + | 0.126327i | ||||
\(562\) | 11.3166 | − | 7.34907i | 0.477361 | − | 0.310002i | ||||
\(563\) | 0.418954 | + | 7.99412i | 0.0176568 | + | 0.336912i | 0.993147 | + | 0.116870i | \(0.0372861\pi\) |
−0.975490 | + | 0.220042i | \(0.929381\pi\) | |||||||
\(564\) | −4.47553 | + | 5.72842i | −0.188454 | + | 0.241210i | ||||
\(565\) | 10.3307 | − | 7.22063i | 0.434617 | − | 0.303774i | ||||
\(566\) | 2.28589 | + | 4.29914i | 0.0960833 | + | 0.180706i | ||||
\(567\) | −3.22755 | − | 16.6043i | −0.135544 | − | 0.697316i | ||||
\(568\) | −0.187780 | − | 2.14634i | −0.00787909 | − | 0.0900584i | ||||
\(569\) | −2.01544 | + | 1.46431i | −0.0844918 | + | 0.0613869i | −0.629229 | − | 0.777220i | \(-0.716629\pi\) |
0.544737 | + | 0.838607i | \(0.316629\pi\) | |||||||
\(570\) | 12.3930 | − | 3.39784i | 0.519087 | − | 0.142320i | ||||
\(571\) | −15.0245 | − | 10.9159i | −0.628756 | − | 0.456818i | 0.227213 | − | 0.973845i | \(-0.427039\pi\) |
−0.855969 | + | 0.517027i | \(0.827039\pi\) | |||||||
\(572\) | −5.70453 | + | 9.49393i | −0.238518 | + | 0.396961i | ||||
\(573\) | 9.46536 | + | 8.82659i | 0.395421 | + | 0.368736i | ||||
\(574\) | 33.3038 | − | 5.87236i | 1.39007 | − | 0.245107i | ||||
\(575\) | −7.03897 | + | 20.3307i | −0.293545 | + | 0.847850i | ||||
\(576\) | −1.18567 | − | 0.431549i | −0.0494029 | − | 0.0179812i | ||||
\(577\) | 0.205148 | − | 0.315900i | 0.00854042 | − | 0.0131511i | −0.834375 | − | 0.551198i | \(-0.814171\pi\) |
0.842915 | + | 0.538047i | \(0.180838\pi\) | |||||||
\(578\) | 3.27029 | − | 8.51939i | 0.136026 | − | 0.354360i | ||||
\(579\) | 1.00818 | + | 14.4176i | 0.0418985 | + | 0.599177i | ||||
\(580\) | −5.26507 | + | 4.41033i | −0.218620 | + | 0.183129i | ||||
\(581\) | −0.264339 | − | 2.51502i | −0.0109666 | − | 0.104341i | ||||
\(582\) | 1.03274 | − | 3.85425i | 0.0428086 | − | 0.159764i | ||||
\(583\) | 10.5447 | − | 19.0232i | 0.436719 | − | 0.787861i | ||||
\(584\) | −13.2107 | + | 1.85664i | −0.546661 | + | 0.0768282i | ||||
\(585\) | −4.24370 | + | 13.8386i | −0.175455 | + | 0.572155i | ||||
\(586\) | 0.664341 | + | 19.0242i | 0.0274437 | + | 0.785884i | ||||
\(587\) | −0.201364 | − | 0.474384i | −0.00831118 | − | 0.0195799i | 0.916297 | − | 0.400499i | \(-0.131163\pi\) |
−0.924608 | + | 0.380919i | \(0.875608\pi\) | |||||||
\(588\) | −17.3881 | − | 8.85969i | −0.717074 | − | 0.365367i | ||||
\(589\) | 26.5738 | − | 1.56980i | 1.09495 | − | 0.0646825i | ||||
\(590\) | 10.4337 | + | 20.5202i | 0.429548 | + | 0.844803i | ||||
\(591\) | −17.0430 | − | 6.88584i | −0.701057 | − | 0.283245i | ||||
\(592\) | 5.57289 | − | 1.08326i | 0.229045 | − | 0.0445218i | ||||
\(593\) | 2.03928 | − | 2.91240i | 0.0837434 | − | 0.119598i | −0.775095 | − | 0.631845i | \(-0.782298\pi\) |
0.858838 | + | 0.512247i | \(0.171187\pi\) | |||||||
\(594\) | −10.9028 | + | 5.31767i | −0.447349 | + | 0.218187i | ||||
\(595\) | −1.04729 | + | 29.2797i | −0.0429348 | + | 1.20035i | ||||
\(596\) | −0.964243 | + | 9.17416i | −0.0394969 | + | 0.375788i | ||||
\(597\) | 26.6704 | + | 10.2378i | 1.09155 | + | 0.419006i | ||||
\(598\) | −8.62560 | + | 20.3206i | −0.352727 | + | 0.830973i | ||||
\(599\) | −0.437921 | + | 0.367460i | −0.0178930 | + | 0.0150140i | −0.651690 | − | 0.758485i | \(-0.725940\pi\) |
0.633797 | + | 0.773499i | \(0.281495\pi\) | |||||||
\(600\) | −2.67105 | − | 6.02672i | −0.109045 | − | 0.246040i | ||||
\(601\) | −15.7649 | + | 9.10188i | −0.643064 | + | 0.371273i | −0.785794 | − | 0.618488i | \(-0.787745\pi\) |
0.142730 | + | 0.989762i | \(0.454412\pi\) | |||||||
\(602\) | −30.4344 | + | 3.73688i | −1.24041 | + | 0.152304i | ||||
\(603\) | 0.254545 | − | 14.5829i | 0.0103659 | − | 0.593860i | ||||
\(604\) | 5.55820 | − | 11.3960i | 0.226160 | − | 0.463696i | ||||
\(605\) | −11.7446 | − | 7.93630i | −0.477485 | − | 0.322656i | ||||
\(606\) | 16.4236 | + | 1.14845i | 0.667165 | + | 0.0466527i | ||||
\(607\) | 23.1925 | + | 23.1925i | 0.941353 | + | 0.941353i | 0.998373 | − | 0.0570201i | \(-0.0181599\pi\) |
−0.0570201 | + | 0.998373i | \(0.518160\pi\) | |||||||
\(608\) | 2.66072 | − | 3.45262i | 0.107907 | − | 0.140022i | ||||
\(609\) | −17.9831 | + | 5.84307i | −0.728713 | + | 0.236773i | ||||
\(610\) | 12.5853 | − | 10.9215i | 0.509562 | − | 0.442199i | ||||
\(611\) | 28.2702 | − | 0.987216i | 1.14369 | − | 0.0399385i | ||||
\(612\) | −1.03520 | + | 3.38599i | −0.0418456 | + | 0.136871i | ||||
\(613\) | −34.3629 | − | 25.8943i | −1.38791 | − | 1.04586i | −0.991819 | − | 0.127649i | \(-0.959257\pi\) |
−0.396086 | − | 0.918213i | \(-0.629632\pi\) | |||||||
\(614\) | 15.9054 | + | 12.4267i | 0.641889 | + | 0.501499i | ||||
\(615\) | 13.4231 | + | 16.6048i | 0.541270 | + | 0.669572i | ||||
\(616\) | −2.09586 | + | 9.86023i | −0.0844445 | + | 0.397280i | ||||
\(617\) | 15.8195 | + | 26.3280i | 0.636867 | + | 1.05993i | 0.992136 | + | 0.125161i | \(0.0399448\pi\) |
−0.355269 | + | 0.934764i | \(0.615611\pi\) | |||||||
\(618\) | 1.39410 | − | 15.9346i | 0.0560789 | − | 0.640985i | ||||
\(619\) | −15.6718 | + | 1.64718i | −0.629905 | + | 0.0662056i | −0.414101 | − | 0.910231i | \(-0.635904\pi\) |
−0.215804 | + | 0.976437i | \(0.569237\pi\) | |||||||
\(620\) | −2.82790 | − | 13.3598i | −0.113571 | − | 0.536543i | ||||
\(621\) | −20.0440 | + | 13.5199i | −0.804339 | + | 0.542533i | ||||
\(622\) | −25.7683 | − | 0.449788i | −1.03322 | − | 0.0180349i | ||||
\(623\) | −22.8320 | + | 17.2052i | −0.914745 | + | 0.689310i | ||||
\(624\) | −2.31340 | − | 6.35601i | −0.0926101 | − | 0.254444i | ||||
\(625\) | −9.44362 | + | 23.1477i | −0.377745 | + | 0.925910i | ||||
\(626\) | − | 28.2749i | − | 1.13009i | ||||||
\(627\) | −1.80832 | − | 12.2745i | −0.0722174 | − | 0.490197i | ||||
\(628\) | −0.341629 | − | 2.15696i | −0.0136325 | − | 0.0860721i | ||||
\(629\) | −3.85408 | − | 15.4579i | −0.153672 | − | 0.616346i | ||||
\(630\) | 0.448610 | + | 13.1661i | 0.0178731 | + | 0.524551i | ||||
\(631\) | 14.6847 | + | 14.1808i | 0.584588 | + | 0.564530i | 0.927020 | − | 0.375012i | \(-0.122362\pi\) |
−0.342432 | + | 0.939543i | \(0.611250\pi\) | |||||||
\(632\) | 7.28138 | + | 10.3989i | 0.289638 | + | 0.413645i | ||||
\(633\) | 20.9422 | + | 11.6085i | 0.832378 | + | 0.461395i | ||||
\(634\) | 9.49288 | + | 8.54743i | 0.377010 | + | 0.339462i | ||||
\(635\) | 11.4161 | − | 29.6648i | 0.453033 | − | 1.17721i | ||||
\(636\) | 4.97575 | + | 12.3154i | 0.197302 | + | 0.488338i | ||||
\(637\) | 17.0824 | + | 73.9922i | 0.676831 | + | 2.93168i | ||||
\(638\) | 3.61162 | + | 5.56140i | 0.142985 | + | 0.220178i | ||||
\(639\) | −2.65911 | + | 0.565212i | −0.105193 | + | 0.0223594i | ||||
\(640\) | −1.95479 | − | 1.08572i | −0.0772699 | − | 0.0429170i | ||||
\(641\) | −2.24229 | − | 15.9547i | −0.0885652 | − | 0.630174i | −0.983086 | − | 0.183147i | \(-0.941372\pi\) |
0.894520 | − | 0.447027i | \(-0.147517\pi\) | |||||||
\(642\) | 0.203131 | + | 11.6374i | 0.00801694 | + | 0.459290i | ||||
\(643\) | −8.57318 | − | 3.99774i | −0.338093 | − | 0.157655i | 0.246155 | − | 0.969230i | \(-0.420833\pi\) |
−0.584248 | + | 0.811575i | \(0.698611\pi\) | |||||||
\(644\) | −1.40152 | + | 20.0426i | −0.0552275 | + | 0.789790i | ||||
\(645\) | −11.3663 | − | 15.6722i | −0.447547 | − | 0.617094i | ||||
\(646\) | −10.0661 | − | 6.94911i | −0.396044 | − | 0.273409i | ||||
\(647\) | 23.8724 | − | 3.78102i | 0.938523 | − | 0.148647i | 0.331611 | − | 0.943416i | \(-0.392408\pi\) |
0.606912 | + | 0.794769i | \(0.292408\pi\) | |||||||
\(648\) | 0.814921 | − | 3.52981i | 0.0320131 | − | 0.138664i | ||||
\(649\) | 20.8857 | − | 7.60179i | 0.819837 | − | 0.298396i | ||||
\(650\) | −11.2840 | + | 23.0364i | −0.442593 | + | 0.903564i | ||||
\(651\) | 6.52837 | − | 37.0242i | 0.255867 | − | 1.45109i | ||||
\(652\) | 1.57852 | + | 12.8560i | 0.0618197 | + | 0.503481i | ||||
\(653\) | 12.9943 | − | 10.5226i | 0.508507 | − | 0.411781i | −0.340434 | − | 0.940268i | \(-0.610574\pi\) |
0.848941 | + | 0.528488i | \(0.177241\pi\) | |||||||
\(654\) | 14.7502 | − | 6.56723i | 0.576780 | − | 0.256799i | ||||
\(655\) | 24.5859 | − | 39.2717i | 0.960651 | − | 1.53447i | ||||
\(656\) | 7.02747 | + | 1.75215i | 0.274377 | + | 0.0684098i | ||||
\(657\) | 4.35659 | + | 16.2590i | 0.169967 | + | 0.634324i | ||||
\(658\) | 24.0352 | − | 9.22623i | 0.936988 | − | 0.359676i | ||||
\(659\) | 1.12057 | − | 32.0889i | 0.0436511 | − | 1.25000i | −0.758017 | − | 0.652235i | \(-0.773831\pi\) |
0.801668 | − | 0.597770i | \(-0.203946\pi\) | |||||||
\(660\) | −6.08813 | + | 1.85569i | −0.236980 | + | 0.0722327i | ||||
\(661\) | −3.39050 | + | 24.1247i | −0.131875 | + | 0.938340i | 0.806135 | + | 0.591732i | \(0.201556\pi\) |
−0.938010 | + | 0.346608i | \(0.887333\pi\) | |||||||
\(662\) | −28.6462 | − | 3.51731i | −1.11337 | − | 0.136704i | ||||
\(663\) | −17.4718 | + | 7.41632i | −0.678547 | + | 0.288026i | ||||
\(664\) | 0.167364 | − | 0.515094i | 0.00649499 | − | 0.0199895i | ||||
\(665\) | −43.8192 | − | 12.2905i | −1.69924 | − | 0.476603i | ||||
\(666\) | −2.21358 | − | 6.81269i | −0.0857744 | − | 0.263987i | ||||
\(667\) | 8.67096 | + | 9.97479i | 0.335741 | + | 0.386226i | ||||
\(668\) | −5.11985 | + | 10.9795i | −0.198093 | + | 0.424811i | ||||
\(669\) | 23.1857 | − | 24.0095i | 0.896411 | − | 0.928261i | ||||
\(670\) | 4.50989 | − | 25.4508i | 0.174232 | − | 0.983251i | ||||
\(671\) | −8.99654 | − | 13.3379i | −0.347307 | − | 0.514904i | ||||
\(672\) | −3.87412 | − | 4.78414i | −0.149447 | − | 0.184552i | ||||
\(673\) | 17.0081 | + | 0.891358i | 0.655615 | + | 0.0343593i | 0.377244 | − | 0.926114i | \(-0.376872\pi\) |
0.278372 | + | 0.960473i | \(0.410205\pi\) | |||||||
\(674\) | −2.90324 | − | 3.45995i | −0.111829 | − | 0.133272i | ||||
\(675\) | −24.1057 | + | 14.4287i | −0.927830 | + | 0.555360i | ||||
\(676\) | −6.66010 | + | 11.5356i | −0.256158 | + | 0.443678i | ||||
\(677\) | 1.08060 | + | 0.701748i | 0.0415307 | + | 0.0269704i | 0.565237 | − | 0.824928i | \(-0.308785\pi\) |
−0.523707 | + | 0.851899i | \(0.675451\pi\) | |||||||
\(678\) | 7.29500 | + | 1.41800i | 0.280163 | + | 0.0544581i | ||||
\(679\) | −10.1654 | + | 9.81657i | −0.390111 | + | 0.376725i | ||||
\(680\) | −2.75544 | + | 5.63738i | −0.105666 | + | 0.216184i | ||||
\(681\) | −11.6684 | + | 17.2991i | −0.447134 | + | 0.662903i | ||||
\(682\) | −13.1345 | + | 1.14912i | −0.502945 | + | 0.0440020i | ||||
\(683\) | −6.68629 | + | 42.2156i | −0.255844 | + | 1.61533i | 0.440587 | + | 0.897710i | \(0.354770\pi\) |
−0.696431 | + | 0.717624i | \(0.745230\pi\) | |||||||
\(684\) | −4.73306 | − | 2.80127i | −0.180973 | − | 0.107109i | ||||
\(685\) | 10.2526 | + | 10.2700i | 0.391733 | + | 0.392397i | ||||
\(686\) | 19.3044 | + | 30.8935i | 0.737046 | + | 1.17952i | ||||
\(687\) | 0.700673 | − | 5.70652i | 0.0267323 | − | 0.217717i | ||||
\(688\) | −6.28005 | − | 1.92001i | −0.239425 | − | 0.0731995i | ||||
\(689\) | 24.2652 | − | 45.6361i | 0.924429 | − | 1.73860i | ||||
\(690\) | −11.5015 | + | 5.35137i | −0.437853 | + | 0.203723i | ||||
\(691\) | −8.41296 | + | 9.34354i | −0.320044 | + | 0.355445i | −0.881603 | − | 0.471992i | \(-0.843535\pi\) |
0.561559 | + | 0.827437i | \(0.310202\pi\) | |||||||
\(692\) | −5.39216 | + | 6.65877i | −0.204979 | + | 0.253128i | ||||
\(693\) | 12.6708 | + | 1.10855i | 0.481325 | + | 0.0421105i | ||||
\(694\) | 7.96142 | − | 31.9315i | 0.302212 | − | 1.21210i | ||||
\(695\) | −14.6420 | + | 6.50419i | −0.555403 | + | 0.246718i | ||||
\(696\) | −4.02741 | − | 0.423298i | −0.152659 | − | 0.0160451i | ||||
\(697\) | 3.87798 | − | 19.9505i | 0.146889 | − | 0.755678i | ||||
\(698\) | 22.8878 | − | 6.99749i | 0.866315 | − | 0.264859i | ||||
\(699\) | 0.307732 | + | 1.74523i | 0.0116395 | + | 0.0660107i | ||||
\(700\) | −2.88443 | + | 23.1674i | −0.109021 | + | 0.875645i | ||||
\(701\) | −10.0728 | − | 8.45205i | −0.380443 | − | 0.319230i | 0.432433 | − | 0.901666i | \(-0.357655\pi\) |
−0.812876 | + | 0.582436i | \(0.802100\pi\) | |||||||
\(702\) | −25.6844 | + | 13.0869i | −0.969395 | + | 0.493931i | ||||
\(703\) | 24.7458 | − | 0.164434i | 0.933306 | − | 0.00620176i | ||||
\(704\) | −1.26898 | + | 1.74660i | −0.0478264 | + | 0.0658274i | ||||
\(705\) | 12.4432 | + | 10.4591i | 0.468639 | + | 0.393911i | ||||
\(706\) | 16.5260 | + | 11.1469i | 0.621965 | + | 0.419520i | ||||
\(707\) | −47.7624 | − | 33.4436i | −1.79629 | − | 1.25778i | ||||
\(708\) | −4.41901 | + | 12.8337i | −0.166076 | + | 0.482321i | ||||
\(709\) | −15.7720 | − | 0.550770i | −0.592330 | − | 0.0206846i | −0.262833 | − | 0.964841i | \(-0.584657\pi\) |
−0.329497 | + | 0.944157i | \(0.606879\pi\) | |||||||
\(710\) | −4.81130 | + | 0.248065i | −0.180565 | + | 0.00930971i | ||||
\(711\) | 11.9035 | − | 10.7179i | 0.446415 | − | 0.401954i | ||||
\(712\) | −5.96585 | + | 1.37733i | −0.223580 | + | 0.0516174i | ||||
\(713\) | −25.6049 | + | 5.91137i | −0.958913 | + | 0.221382i | ||||
\(714\) | −12.8377 | + | 11.5591i | −0.480438 | + | 0.432588i | ||||
\(715\) | 20.7595 | + | 13.5064i | 0.776363 | + | 0.505111i | ||||
\(716\) | −13.6428 | − | 0.476418i | −0.509857 | − | 0.0178046i | ||||
\(717\) | −4.25161 | + | 12.3476i | −0.158779 | + | 0.461128i | ||||
\(718\) | −3.55121 | − | 2.48658i | −0.132530 | − | 0.0927985i | ||||
\(719\) | −15.3534 | − | 10.3560i | −0.572584 | − | 0.386213i | 0.238500 | − | 0.971143i | \(-0.423344\pi\) |
−0.811084 | + | 0.584929i | \(0.801122\pi\) | |||||||
\(720\) | −1.05913 | + | 2.61505i | −0.0394713 | + | 0.0974572i | ||||
\(721\) | −33.2973 | + | 45.8298i | −1.24006 | + | 1.70679i | ||||
\(722\) | 14.1726 | − | 12.6546i | 0.527448 | − | 0.470955i | ||||
\(723\) | 9.28964 | − | 4.73331i | 0.345485 | − | 0.176034i | ||||
\(724\) | −1.11308 | − | 0.933986i | −0.0413673 | − | 0.0347113i | ||||
\(725\) | 9.43466 | + | 12.1181i | 0.350394 | + | 0.450053i | ||||
\(726\) | −1.45128 | − | 8.23061i | −0.0538620 | − | 0.305467i | ||||
\(727\) | 7.25856 | − | 2.21916i | 0.269205 | − | 0.0823042i | −0.154859 | − | 0.987937i | \(-0.549492\pi\) |
0.424064 | + | 0.905632i | \(0.360603\pi\) | |||||||
\(728\) | −4.57078 | + | 23.5146i | −0.169404 | + | 0.871511i | ||||
\(729\) | −26.6480 | − | 2.80082i | −0.986963 | − | 0.103734i | ||||
\(730\) | 3.09299 | + | 29.6695i | 0.114477 | + | 1.09812i | ||||
\(731\) | −4.45814 | + | 17.8806i | −0.164890 | + | 0.661339i | ||||
\(732\) | 9.78761 | + | 0.856305i | 0.361760 | + | 0.0316499i | ||||
\(733\) | 5.66670 | − | 6.99780i | 0.209304 | − | 0.258469i | −0.661673 | − | 0.749793i | \(-0.730153\pi\) |
0.870977 | + | 0.491323i | \(0.163487\pi\) | |||||||
\(734\) | 12.9324 | − | 14.3629i | 0.477345 | − | 0.530145i | ||||
\(735\) | −21.1880 | + | 38.1480i | −0.781532 | + | 1.40711i | ||||
\(736\) | −2.02011 | + | 3.79928i | −0.0744624 | + | 0.140043i | ||||
\(737\) | −23.8651 | − | 7.29628i | −0.879081 | − | 0.268762i | ||||
\(738\) | 1.11370 | − | 9.07035i | 0.0409958 | − | 0.333884i | ||||
\(739\) | −8.94899 | − | 14.3214i | −0.329194 | − | 0.526820i | 0.641505 | − | 0.767119i | \(-0.278310\pi\) |
−0.970699 | + | 0.240298i | \(0.922755\pi\) | |||||||
\(740\) | −1.97526 | − | 12.5400i | −0.0726119 | − | 0.460979i | ||||
\(741\) | −4.80560 | − | 29.0890i | −0.176538 | − | 1.06861i | ||||
\(742\) | 7.35883 | − | 46.4618i | 0.270151 | − | 1.70567i | ||||
\(743\) | −7.92413 | + | 0.693272i | −0.290708 | + | 0.0254337i | −0.231577 | − | 0.972817i | \(-0.574389\pi\) |
−0.0591311 | + | 0.998250i | \(0.518833\pi\) | |||||||
\(744\) | 4.50245 | − | 6.67516i | 0.165068 | − | 0.244723i | ||||
\(745\) | 20.4239 | + | 2.88802i | 0.748272 | + | 0.105809i | ||||
\(746\) | −10.7524 | + | 10.3835i | −0.393674 | + | 0.380166i | ||||
\(747\) | −0.670818 | − | 0.130394i | −0.0245440 | − | 0.00477086i | ||||
\(748\) | 5.08088 | + | 3.29956i | 0.185775 | + | 0.120644i | ||||
\(749\) | 20.6103 | − | 35.6980i | 0.753083 | − | 1.30438i | ||||
\(750\) | −13.6810 | + | 5.48712i | −0.499561 | + | 0.200361i | ||||
\(751\) | −10.2892 | − | 12.2622i | −0.375458 | − | 0.447454i | 0.544917 | − | 0.838490i | \(-0.316561\pi\) |
−0.920375 | + | 0.391036i | \(0.872117\pi\) | |||||||
\(752\) | 5.50621 | + | 0.288568i | 0.200791 | + | 0.0105230i | ||||
\(753\) | −13.9959 | − | 17.2835i | −0.510040 | − | 0.629847i | ||||
\(754\) | 8.81178 | + | 13.0640i | 0.320906 | + | 0.475763i | ||||
\(755\) | −25.0217 | − | 13.3314i | −0.910631 | − | 0.485181i | ||||
\(756\) | −18.2248 | + | 18.8723i | −0.662829 | + | 0.686379i | ||||
\(757\) | −15.3464 | + | 32.9105i | −0.557774 | + | 1.19615i | 0.402068 | + | 0.915610i | \(0.368292\pi\) |
−0.959842 | + | 0.280541i | \(0.909486\pi\) | |||||||
\(758\) | −4.34764 | − | 5.00139i | −0.157914 | − | 0.181659i | ||||
\(759\) | 3.78477 | + | 11.6483i | 0.137378 | + | 0.422807i | ||||
\(760\) | −7.50268 | − | 6.22172i | −0.272151 | − | 0.225686i | ||||
\(761\) | −9.10552 | + | 28.0239i | −0.330075 | + | 1.01587i | 0.639023 | + | 0.769188i | \(0.279339\pi\) |
−0.969098 | + | 0.246678i | \(0.920661\pi\) | |||||||
\(762\) | 17.2515 | − | 7.32282i | 0.624955 | − | 0.265278i | ||||
\(763\) | −56.7561 | − | 6.96877i | −2.05471 | − | 0.252287i | ||||
\(764\) | 1.36619 | − | 9.72094i | 0.0494270 | − | 0.351691i | ||||
\(765\) | 7.48373 | + | 2.58394i | 0.270575 | + | 0.0934227i | ||||
\(766\) | 0.227567 | − | 6.51668i | 0.00822234 | − | 0.235457i | ||||
\(767\) | 49.3088 | − | 18.9279i | 1.78044 | − | 0.683447i | ||||
\(768\) | −0.341233 | − | 1.27350i | −0.0123132 | − | 0.0459534i | ||||
\(769\) | −28.5864 | − | 7.12739i | −1.03085 | − | 0.257020i | −0.310460 | − | 0.950587i | \(-0.600483\pi\) |
−0.720393 | + | 0.693566i | \(0.756038\pi\) | |||||||
\(770\) | 21.8665 | + | 5.47161i | 0.788015 | + | 0.197183i | ||||
\(771\) | 9.87681 | − | 4.39744i | 0.355705 | − | 0.158370i | ||||
\(772\) | 8.51925 | − | 6.89876i | 0.306615 | − | 0.248292i | ||||
\(773\) | 4.82039 | + | 39.2589i | 0.173377 | + | 1.41205i | 0.784313 | + | 0.620365i | \(0.213016\pi\) |
−0.610935 | + | 0.791680i | \(0.709207\pi\) | |||||||
\(774\) | −1.43885 | + | 8.16013i | −0.0517184 | + | 0.293310i | ||||
\(775\) | −30.0804 | + | 5.25148i | −1.08052 | + | 0.188639i | ||||
\(776\) | −2.84399 | + | 1.03513i | −0.102093 | + | 0.0371589i | ||||
\(777\) | 7.86183 | − | 34.0533i | 0.282042 | − | 1.22166i | ||||
\(778\) | 34.9274 | − | 5.53195i | 1.25221 | − | 0.198330i | ||||
\(779\) | 28.7000 | + | 13.1516i | 1.02828 | + | 0.471204i | ||||
\(780\) | −14.3883 | + | 4.66158i | −0.515184 | + | 0.166911i | ||||
\(781\) | −0.324470 | + | 4.64014i | −0.0116104 | + | 0.166037i | ||||
\(782\) | 10.9434 | + | 5.10301i | 0.391337 | + | 0.182483i | ||||
\(783\) | 0.301201 | + | 17.2558i | 0.0107640 | + | 0.616672i | ||||
\(784\) | 2.06003 | + | 14.6578i | 0.0735723 | + | 0.523494i | ||||
\(785\) | −4.84733 | + | 0.591012i | −0.173009 | + | 0.0210941i | ||||
\(786\) | 26.7216 | − | 5.67985i | 0.953128 | − | 0.202594i | ||||
\(787\) | 9.75459 | + | 15.0207i | 0.347713 | + | 0.535432i | 0.968650 | − | 0.248429i | \(-0.0799142\pi\) |
−0.620937 | + | 0.783861i | \(0.713248\pi\) | |||||||
\(788\) | 3.13628 | + | 13.5847i | 0.111725 | + | 0.483936i | ||||
\(789\) | 13.9479 | + | 34.5222i | 0.496558 | + | 1.22902i | ||||
\(790\) | 23.8198 | − | 15.4401i | 0.847469 | − | 0.549333i | ||||
\(791\) | −19.5589 | − | 17.6109i | −0.695435 | − | 0.626173i | ||||
\(792\) | 2.38250 | + | 1.32064i | 0.0846585 | + | 0.0469270i | ||||
\(793\) | −21.9288 | − | 31.3175i | −0.778713 | − | 1.11212i | ||||
\(794\) | 14.1279 | + | 13.6431i | 0.501379 | + | 0.484176i | ||||
\(795\) | 27.9182 | − | 10.1346i | 0.990158 | − | 0.359439i | ||||
\(796\) | −5.24202 | − | 21.0246i | −0.185799 | − | 0.745197i | ||||
\(797\) | 2.54086 | + | 16.0423i | 0.0900018 | + | 0.568249i | 0.990940 | + | 0.134302i | \(0.0428794\pi\) |
−0.900939 | + | 0.433947i | \(0.857121\pi\) | |||||||
\(798\) | −12.7547 | − | 23.6084i | −0.451513 | − | 0.835728i | ||||
\(799\) | − | 15.4725i | − | 0.547377i | ||||||
\(800\) | −2.58244 | + | 4.28147i | −0.0913032 | + | 0.151373i | ||||
\(801\) | 2.64228 | + | 7.25960i | 0.0933603 | + | 0.256505i | ||||
\(802\) | −27.2636 | + | 20.5446i | −0.962713 | + | 0.725456i | ||||
\(803\) | 28.7966 | + | 0.502647i | 1.01621 | + | 0.0177380i | ||||
\(804\) | 12.6345 | − | 8.52210i | 0.445585 | − | 0.300551i | ||||
\(805\) | 44.6760 | + | 4.73389i | 1.57462 | + | 0.166848i | ||||
\(806\) | −31.1596 | + | 3.27501i | −1.09755 | + | 0.115357i | ||||
\(807\) | −2.36602 | + | 27.0437i | −0.0832879 | + | 0.951985i | ||||
\(808\) | −6.43152 | − | 10.7039i | −0.226260 | − | 0.376560i | ||||
\(809\) | −1.39167 | + | 6.54730i | −0.0489285 | + | 0.230191i | −0.995817 | − | 0.0913720i | \(-0.970875\pi\) |
0.946888 | + | 0.321563i | \(0.104208\pi\) | |||||||
\(810\) | −7.82271 | − | 2.10319i | −0.274862 | − | 0.0738986i | ||||
\(811\) | 34.9650 | + | 27.3177i | 1.22779 | + | 0.959253i | 0.999896 | − | 0.0144333i | \(-0.00459443\pi\) |
0.227892 | + | 0.973686i | \(0.426817\pi\) | |||||||
\(812\) | 11.4539 | + | 8.63113i | 0.401953 | + | 0.302893i | ||||
\(813\) | −3.38426 | + | 11.0694i | −0.118691 | + | 0.388222i | ||||
\(814\) | −12.2491 | + | 0.427749i | −0.429332 | + | 0.0149926i | ||||
\(815\) | 28.8548 | − | 2.49985i | 1.01074 | − | 0.0875658i | ||||
\(816\) | −3.51862 | + | 1.14327i | −0.123176 | + | 0.0400224i | ||||
\(817\) | −25.3630 | − | 13.2703i | −0.887340 | − | 0.464270i | ||||
\(818\) | 7.42529 | + | 7.42529i | 0.259619 | + | 0.259619i | ||||
\(819\) | 30.1516 | + | 2.10841i | 1.05358 | + | 0.0736737i | ||||
\(820\) | 4.47712 | − | 15.5638i | 0.156348 | − | 0.543512i | ||||
\(821\) | −14.7112 | + | 30.1623i | −0.513423 | + | 1.05267i | 0.471849 | + | 0.881679i | \(0.343587\pi\) |
−0.985272 | + | 0.170993i | \(0.945302\pi\) | |||||||
\(822\) | −0.149329 | + | 8.55504i | −0.00520844 | + | 0.298391i | ||||
\(823\) | −31.1644 | + | 3.82651i | −1.08632 | + | 0.133384i | −0.645163 | − | 0.764045i | \(-0.723210\pi\) |
−0.441160 | + | 0.897429i | \(0.645433\pi\) | |||||||
\(824\) | −10.5069 | + | 6.06615i | −0.366025 | + | 0.211325i | ||||
\(825\) | 3.66018 | + | 13.7531i | 0.127431 | + | 0.478821i | ||||
\(826\) | 36.8239 | − | 30.8989i | 1.28127 | − | 1.07511i | ||||
\(827\) | −8.87191 | + | 20.9009i | −0.308506 | + | 0.726796i | 0.691484 | + | 0.722392i | \(0.256957\pi\) |
−0.999990 | + | 0.00440379i | \(0.998598\pi\) | |||||||
\(828\) | 5.06870 | + | 1.94569i | 0.176150 | + | 0.0676175i | ||||
\(829\) | 1.70886 | − | 16.2587i | 0.0593510 | − | 0.564687i | −0.923926 | − | 0.382571i | \(-0.875039\pi\) |
0.983277 | − | 0.182116i | \(-0.0582947\pi\) | |||||||
\(830\) | −1.13767 | − | 0.415170i | −0.0394891 | − | 0.0144108i | ||||
\(831\) | −2.54858 | + | 1.24302i | −0.0884092 | + | 0.0431200i | ||||
\(832\) | −2.94263 | + | 4.20251i | −0.102017 | + | 0.145696i | ||||
\(833\) | 40.7733 | − | 7.92552i | 1.41271 | − | 0.274603i | ||||
\(834\) | −8.75874 | − | 3.53876i | −0.303290 | − | 0.122537i | ||||
\(835\) | 24.1261 | + | 12.3186i | 0.834918 | + | 0.426303i | ||||
\(836\) | −6.83960 | + | 6.46353i | −0.236553 | + | 0.223546i | ||||
\(837\) | −30.5744 | − | 15.5784i | −1.05681 | − | 0.538469i | ||||
\(838\) | −7.08746 | − | 16.6970i | −0.244832 | − | 0.576789i | ||||
\(839\) | −0.317679 | − | 9.09712i | −0.0109675 | − | 0.314068i | −0.992460 | − | 0.122568i | \(-0.960887\pi\) |
0.981493 | − | 0.191500i | \(-0.0613351\pi\) | |||||||
\(840\) | −11.0005 | + | 8.27487i | −0.379553 | + | 0.285510i | ||||
\(841\) | −19.3752 | + | 2.72300i | −0.668110 | + | 0.0938967i | ||||
\(842\) | 6.47180 | − | 11.6754i | 0.223033 | − | 0.402362i | ||||
\(843\) | 4.60441 | − | 17.1839i | 0.158584 | − | 0.591845i | ||||
\(844\) | −1.89838 | − | 18.0619i | −0.0653450 | − | 0.621716i | ||||
\(845\) | 25.2456 | + | 15.8050i | 0.868477 | + | 0.543708i | ||||
\(846\) | −0.485301 | − | 6.94012i | −0.0166850 | − | 0.238606i | ||||
\(847\) | −10.6072 | + | 27.6328i | −0.364469 | + | 0.949475i | ||||
\(848\) | 5.48704 | − | 8.44930i | 0.188426 | − | 0.290150i | ||||
\(849\) | 6.03236 | + | 2.19560i | 0.207030 | + | 0.0753528i | ||||
\(850\) | 12.3773 | + | 6.60802i | 0.424537 | + | 0.226653i | ||||
\(851\) | −24.0576 | + | 4.24201i | −0.824684 | + | 0.145414i | ||||
\(852\) | −2.07748 | − | 1.93728i | −0.0711732 | − | 0.0663701i | ||||
\(853\) | −21.2616 | + | 35.3853i | −0.727983 | + | 1.21157i | 0.242442 | + | 0.970166i | \(0.422052\pi\) |
−0.970425 | + | 0.241402i | \(0.922393\pi\) | |||||||
\(854\) | −28.1503 | − | 20.4524i | −0.963283 | − | 0.699866i | ||||
\(855\) | −6.63814 | + | 10.3528i | −0.227020 | + | 0.354057i | ||||
\(856\) | 7.14207 | − | 5.18902i | 0.244111 | − | 0.177357i | ||||
\(857\) | −2.37131 | − | 27.1042i | −0.0810024 | − | 0.925861i | −0.922600 | − | 0.385757i | \(-0.873940\pi\) |
0.841598 | − | 0.540104i | \(-0.181615\pi\) | |||||||
\(858\) | 2.78634 | + | 14.3345i | 0.0951239 | + | 0.489370i | ||||
\(859\) | −10.3959 | − | 19.5519i | −0.354705 | − | 0.667103i | 0.640168 | − | 0.768235i | \(-0.278865\pi\) |
−0.994873 | + | 0.101132i | \(0.967754\pi\) | |||||||
\(860\) | −4.79248 | + | 13.8802i | −0.163422 | + | 0.473311i | ||||
\(861\) | 27.4498 | − | 35.1341i | 0.935485 | − | 1.19737i | ||||
\(862\) | 1.35568 | + | 25.8680i | 0.0461748 | + | 0.881067i | ||||
\(863\) | −25.6858 | + | 16.6805i | −0.874354 | + | 0.567812i | −0.901966 | − | 0.431806i | \(-0.857876\pi\) |
0.0276121 | + | 0.999619i | \(0.491210\pi\) | |||||||
\(864\) | −5.20966 | + | 2.10484i | −0.177236 | + | 0.0716081i | ||||
\(865\) | 14.4489 | + | 12.5818i | 0.491279 | + | 0.427793i | ||||
\(866\) | −13.9261 | − | 2.96009i | −0.473230 | − | 0.100588i | ||||
\(867\) | −4.31162 | − | 11.2321i | −0.146430 | − | 0.381464i | ||||
\(868\) | −25.8438 | + | 12.0511i | −0.877195 | + | 0.409043i | ||||
\(869\) | −12.0143 | − | 24.6330i | −0.407559 | − | 0.835619i | ||||
\(870\) | −1.26783 | + | 8.96598i | −0.0429834 | + | 0.303975i | ||||
\(871\) | −57.0055 | − | 16.3461i | −1.93156 | − | 0.553865i | ||||
\(872\) | −10.4974 | − | 6.30745i | −0.355486 | − | 0.213597i | ||||
\(873\) | 1.73367 | + | 3.40252i | 0.0586758 | + | 0.115158i | ||||
\(874\) | −11.7065 | + | 14.6544i | −0.395979 | + | 0.495692i | ||||
\(875\) | 51.5402 | + | 8.29742i | 1.74238 | + | 0.280504i | ||||
\(876\) | −11.3056 | + | 13.4735i | −0.381981 | + | 0.455227i | ||||
\(877\) | 27.3998 | − | 29.3827i | 0.925225 | − | 0.992182i | −0.0747629 | − | 0.997201i | \(-0.523820\pi\) |
0.999987 | + | 0.00501953i | \(0.00159777\pi\) | |||||||
\(878\) | −16.6203 | + | 5.72284i | −0.560909 | + | 0.193137i | ||||
\(879\) | 17.4340 | + | 18.0535i | 0.588035 | + | 0.608928i | ||||
\(880\) | 3.80159 | + | 2.97531i | 0.128152 | + | 0.100298i | ||||
\(881\) | −51.2283 | − | 22.8083i | −1.72593 | − | 0.768432i | −0.996428 | − | 0.0844498i | \(-0.973087\pi\) |
−0.729499 | − | 0.683982i | \(-0.760247\pi\) | |||||||
\(882\) | 18.0401 | − | 4.83383i | 0.607442 | − | 0.162764i | ||||
\(883\) | 31.9313 | − | 19.1863i | 1.07457 | − | 0.645669i | 0.135987 | − | 0.990711i | \(-0.456580\pi\) |
0.938587 | + | 0.345041i | \(0.112135\pi\) | |||||||
\(884\) | 12.2089 | + | 7.62897i | 0.410630 | + | 0.256590i | ||||
\(885\) | 28.3255 | + | 10.9007i | 0.952152 | + | 0.366422i | ||||
\(886\) | −2.77774 | − | 13.0682i | −0.0933201 | − | 0.439036i | ||||
\(887\) | 17.9903 | − | 16.7762i | 0.604055 | − | 0.563291i | −0.319099 | − | 0.947722i | \(-0.603380\pi\) |
0.923154 | + | 0.384431i | \(0.125602\pi\) | |||||||
\(888\) | 4.50455 | − | 5.97774i | 0.151163 | − | 0.200600i | ||||
\(889\) | −65.7273 | − | 9.23737i | −2.20442 | − | 0.309812i | ||||
\(890\) | 2.60097 | + | 13.4416i | 0.0871849 | + | 0.450564i | ||||
\(891\) | −2.92980 | + | 7.25152i | −0.0981521 | + | 0.242935i | ||||
\(892\) | −25.0043 | − | 3.96029i | −0.837206 | − | 0.132600i | ||||
\(893\) | 23.3581 | + | 5.65925i | 0.781651 | + | 0.189380i | ||||
\(894\) | 7.14866 | + | 9.83929i | 0.239087 | + | 0.329075i | ||||
\(895\) | −2.15509 | + | 30.4487i | −0.0720368 | + | 1.01779i | ||||
\(896\) | −1.28702 | + | 4.48837i | −0.0429963 | + | 0.149946i | ||||
\(897\) | 9.47562 | + | 27.5192i | 0.316382 | + | 0.918839i | ||||
\(898\) | 10.0255 | + | 32.7920i | 0.334556 | + | 1.09428i | ||||
\(899\) | −6.41567 | + | 17.6269i | −0.213975 | + | 0.587890i | ||||
\(900\) | 5.75904 | + | 2.57579i | 0.191968 | + | 0.0858595i | ||||
\(901\) | −24.4834 | − | 14.1355i | −0.815660 | − | 0.470921i | ||||
\(902\) | −14.3932 | − | 6.10954i | −0.479241 | − | 0.203426i | ||||
\(903\) | −26.5223 | + | 30.5104i | −0.882608 | + | 1.01532i | ||||
\(904\) | −2.29265 | − | 5.14937i | −0.0762524 | − | 0.171266i | ||||
\(905\) | −2.17609 | + | 2.41268i | −0.0723356 | + | 0.0802002i | ||||
\(906\) | −4.60770 | − | 16.0690i | −0.153081 | − | 0.533856i | ||||
\(907\) | 19.0841 | − | 13.3628i | 0.633676 | − | 0.443705i | −0.212096 | − | 0.977249i | \(-0.568029\pi\) |
0.845772 | + | 0.533544i | \(0.179140\pi\) | |||||||
\(908\) | 15.8245 | − | 0.276217i | 0.525153 | − | 0.00916658i | ||||
\(909\) | −12.4161 | + | 9.70051i | −0.411816 | + | 0.321746i | ||||
\(910\) | 52.1814 | + | 12.0936i | 1.72980 | + | 0.400898i | ||||
\(911\) | −13.7758 | − | 4.47604i | −0.456413 | − | 0.148298i | 0.0717825 | − | 0.997420i | \(-0.477131\pi\) |
−0.528196 | + | 0.849123i | \(0.677131\pi\) | |||||||
\(912\) | −0.438966 | − | 5.73008i | −0.0145356 | − | 0.189742i | ||||
\(913\) | −0.530839 | + | 1.04183i | −0.0175682 | + | 0.0344795i | ||||
\(914\) | 9.65817 | − | 6.03510i | 0.319464 | − | 0.199623i | ||||
\(915\) | 2.69585 | − | 21.8033i | 0.0891222 | − | 0.720796i | ||||
\(916\) | −3.85036 | + | 2.04727i | −0.127219 | + | 0.0676438i | ||||
\(917\) | −91.4789 | − | 31.4987i | −3.02090 | − | 1.04018i | ||||
\(918\) | 6.66352 | + | 14.2900i | 0.219929 | + | 0.471639i | ||||
\(919\) | −19.5956 | + | 44.0125i | −0.646400 | + | 1.45184i | 0.231422 | + | 0.972853i | \(0.425662\pi\) |
−0.877823 | + | 0.478986i | \(0.841005\pi\) | |||||||
\(920\) | 8.32856 | + | 4.81790i | 0.274584 | + | 0.158842i | ||||
\(921\) | 26.5465 | − | 1.85631i | 0.874737 | − | 0.0611676i | ||||
\(922\) | 17.7385 | + | 15.4198i | 0.584186 | + | 0.507825i | ||||
\(923\) | −0.578494 | + | 11.0383i | −0.0190414 | + | 0.363331i | ||||
\(924\) | 6.64519 | + | 11.5098i | 0.218611 | + | 0.378645i | ||||
\(925\) | −28.1802 | + | 3.41167i | −0.926561 | + | 0.112175i | ||||
\(926\) | 12.1087 | + | 2.13510i | 0.397918 | + | 0.0701636i | ||||
\(927\) | 9.21265 | + | 12.2256i | 0.302583 | + | 0.401542i | ||||
\(928\) | 1.48912 | + | 2.68644i | 0.0488826 | + | 0.0881866i | ||||
\(929\) | 44.1932 | − | 11.0186i | 1.44993 | − | 0.361509i | 0.564174 | − | 0.825656i | \(-0.309195\pi\) |
0.885758 | + | 0.464148i | \(0.153639\pi\) | |||||||
\(930\) | −14.5567 | − | 10.5949i | −0.477333 | − | 0.347420i | ||||
\(931\) | −2.94851 | + | 64.4526i | −0.0966334 | + | 2.11235i | ||||
\(932\) | 0.950457 | − | 0.950457i | 0.0311333 | − | 0.0311333i | ||||
\(933\) | −25.6441 | + | 22.2920i | −0.839549 | + | 0.729808i | ||||
\(934\) | −9.98791 | − | 12.7839i | −0.326814 | − | 0.418303i | ||||
\(935\) | 7.77944 | − | 11.0902i | 0.254415 | − | 0.362688i | ||||
\(936\) | 5.71555 | + | 3.03901i | 0.186819 | + | 0.0993332i | ||||
\(937\) | 30.1381 | + | 32.3192i | 0.984570 | + | 1.05582i | 0.998435 | + | 0.0559178i | \(0.0178085\pi\) |
−0.0138658 | + | 0.999904i | \(0.504414\pi\) | |||||||
\(938\) | −53.8992 | + | 2.82474i | −1.75987 | + | 0.0922309i | ||||
\(939\) | −24.9440 | − | 27.7032i | −0.814018 | − | 0.904058i | ||||
\(940\) | 1.08496 | − | 12.2813i | 0.0353874 | − | 0.400573i | ||||
\(941\) | −20.1470 | + | 32.2419i | −0.656772 | + | 1.05106i | 0.337201 | + | 0.941433i | \(0.390520\pi\) |
−0.993973 | + | 0.109623i | \(0.965036\pi\) | |||||||
\(942\) | −2.23758 | − | 1.81196i | −0.0729044 | − | 0.0590368i | ||||
\(943\) | −30.1027 | − | 8.06600i | −0.980279 | − | 0.262665i | ||||
\(944\) | 9.89624 | − | 2.83770i | 0.322095 | − | 0.0923593i | ||||
\(945\) | 40.7161 | + | 42.2342i | 1.32449 | + | 1.37388i | ||||
\(946\) | 12.7427 | + | 6.21505i | 0.414302 | + | 0.202069i | ||||
\(947\) | −0.759868 | + | 0.421202i | −0.0246924 | + | 0.0136872i | −0.497108 | − | 0.867689i | \(-0.665605\pi\) |
0.472415 | + | 0.881376i | \(0.343382\pi\) | |||||||
\(948\) | 16.3080 | + | 3.76500i | 0.529659 | + | 0.122281i | ||||
\(949\) | 68.4410 | 2.22169 | ||||||||
\(950\) | −14.5030 | + | 16.2685i | −0.470539 | + | 0.527819i | ||||
\(951\) | 16.8414 | 0.546121 | ||||||||
\(952\) | 12.7668 | + | 2.94745i | 0.413775 | + | 0.0955274i | ||||
\(953\) | −32.5127 | + | 18.0221i | −1.05319 | + | 0.583793i | −0.913683 | − | 0.406428i | \(-0.866774\pi\) |
−0.139507 | + | 0.990221i | \(0.544552\pi\) | |||||||
\(954\) | −11.4253 | − | 5.57249i | −0.369908 | − | 0.180416i | ||||
\(955\) | −21.6136 | − | 3.82993i | −0.699399 | − | 0.123934i | ||||
\(956\) | 9.52135 | − | 2.73020i | 0.307942 | − | 0.0883010i | ||||
\(957\) | 8.44483 | + | 2.26279i | 0.272983 | + | 0.0731455i | ||||
\(958\) | −31.0824 | − | 25.1701i | −1.00423 | − | 0.813208i | ||||
\(959\) | 16.0580 | − | 25.6981i | 0.518539 | − | 0.829836i | ||||
\(960\) | −2.87308 | + | 0.660741i | −0.0927283 | + | 0.0213253i | ||||
\(961\) | −4.21307 | − | 4.67909i | −0.135905 | − | 0.150938i | ||||
\(962\) | −29.0860 | + | 1.52433i | −0.937769 | + | 0.0491464i | ||||
\(963\) | −7.59676 | − | 8.14652i | −0.244802 | − | 0.262518i | ||||
\(964\) | −6.98230 | − | 3.71256i | −0.224885 | − | 0.119573i | ||||
\(965\) | −14.7353 | − | 19.5889i | −0.474346 | − | 0.630588i | ||||
\(966\) | 16.3084 | + | 20.8737i | 0.524713 | + | 0.671602i | ||||
\(967\) | 41.7260 | − | 36.2718i | 1.34182 | − | 1.16642i | 0.370446 | − | 0.928854i | \(-0.379205\pi\) |
0.971371 | − | 0.237569i | \(-0.0763507\pi\) | |||||||
\(968\) | −4.48241 | + | 4.48241i | −0.144070 | + | 0.144070i | ||||
\(969\) | −15.9930 | + | 2.07165i | −0.513768 | + | 0.0665511i | ||||
\(970\) | 2.08581 | + | 6.43802i | 0.0669714 | + | 0.206712i | ||||
\(971\) | 44.5614 | − | 11.1104i | 1.43004 | − | 0.356550i | 0.551485 | − | 0.834185i | \(-0.314062\pi\) |
0.878558 | + | 0.477635i | \(0.158506\pi\) | |||||||
\(972\) | 5.85661 | + | 10.5656i | 0.187851 | + | 0.338892i | ||||
\(973\) | 20.1341 | + | 26.7188i | 0.645469 | + | 0.856566i | ||||
\(974\) | −9.70476 | − | 1.71121i | −0.310961 | − | 0.0548307i | ||||
\(975\) | 9.26689 | + | 32.5253i | 0.296778 | + | 1.04164i | ||||
\(976\) | −3.72604 | − | 6.45370i | −0.119268 | − | 0.206578i | ||||
\(977\) | 0.127364 | − | 2.43025i | 0.00407473 | − | 0.0777506i | −0.995835 | − | 0.0911716i | \(-0.970939\pi\) |
0.999910 | + | 0.0134210i | \(0.00427217\pi\) | |||||||
\(978\) | 12.8882 | + | 11.2035i | 0.412118 | + | 0.358248i | ||||
\(979\) | 13.1864 | − | 0.922080i | 0.421438 | − | 0.0294698i | ||||
\(980\) | 32.9196 | − | 3.43181i | 1.05158 | − | 0.109625i | ||||
\(981\) | −6.28502 | + | 14.1164i | −0.200665 | + | 0.450701i | ||||
\(982\) | −1.19499 | − | 2.56266i | −0.0381337 | − | 0.0817779i | ||||
\(983\) | −17.0513 | − | 5.87124i | −0.543853 | − | 0.187264i | 0.0398871 | − | 0.999204i | \(-0.487300\pi\) |
−0.583740 | + | 0.811941i | \(0.698411\pi\) | |||||||
\(984\) | 8.43110 | − | 4.48290i | 0.268774 | − | 0.142910i | ||||
\(985\) | 30.6076 | − | 5.92263i | 0.975240 | − | 0.188711i | ||||
\(986\) | 7.30953 | − | 4.56750i | 0.232783 | − | 0.145459i | ||||
\(987\) | 15.4098 | − | 30.2434i | 0.490499 | − | 0.962658i | ||||
\(988\) | −15.9827 | + | 15.6409i | −0.508477 | + | 0.497603i | ||||
\(989\) | 26.8745 | + | 8.73205i | 0.854559 | + | 0.277663i | ||||
\(990\) | 3.14159 | − | 5.21847i | 0.0998463 | − | 0.165854i | ||||
\(991\) | −11.8239 | + | 9.23787i | −0.375600 | + | 0.293451i | −0.785722 | − | 0.618580i | \(-0.787708\pi\) |
0.410122 | + | 0.912031i | \(0.365486\pi\) | |||||||
\(992\) | −6.10614 | + | 0.106583i | −0.193870 | + | 0.00338402i | ||||
\(993\) | −31.1699 | + | 21.8254i | −0.989146 | + | 0.692608i | ||||
\(994\) | 2.77293 | + | 9.67037i | 0.0879521 | + | 0.306725i | ||||
\(995\) | −47.4014 | + | 10.0335i | −1.50273 | + | 0.318084i | ||||
\(996\) | −0.290434 | − | 0.652326i | −0.00920276 | − | 0.0206697i | ||||
\(997\) | 6.51835 | − | 7.49851i | 0.206438 | − | 0.237480i | −0.642091 | − | 0.766628i | \(-0.721933\pi\) |
0.848529 | + | 0.529148i | \(0.177488\pi\) | |||||||
\(998\) | 37.0864 | + | 15.7423i | 1.17395 | + | 0.498312i | ||||
\(999\) | −27.6254 | − | 15.9495i | −0.874029 | − | 0.504621i |
(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 | 950.2.bi.a.3.8 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.43 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.43 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.8 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.8 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.43 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.43 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.8 | yes | 2400 | 475.317 | even | 180 | inner |