Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(26,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.3518667.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 7x^{4} - 8x^{3} + 43x^{2} - 42x + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 201.3 | ||
Root | \(1.14257 - 1.97899i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.201 |
Dual form | 475.2.e.d.26.3 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14257 | − | 1.97899i | 0.807920 | − | 1.39936i | −0.106382 | − | 0.994325i | \(-0.533927\pi\) |
0.914302 | − | 0.405033i | \(-0.132740\pi\) | |||||||
\(3\) | −1.25351 | + | 2.17114i | −0.723714 | + | 1.25351i | 0.235787 | + | 0.971805i | \(0.424233\pi\) |
−0.959501 | + | 0.281705i | \(0.909100\pi\) | |||||||
\(4\) | −1.61094 | − | 2.79023i | −0.805469 | − | 1.39511i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.86445 | + | 4.96137i | 1.16941 | + | 2.02547i | ||||
\(7\) | −3.50702 | −1.32553 | −0.662764 | − | 0.748828i | \(-0.730617\pi\) | ||||
−0.662764 | + | 0.748828i | \(0.730617\pi\) | |||||||
\(8\) | −2.79216 | −0.987178 | ||||||||
\(9\) | −1.64257 | − | 2.84502i | −0.547524 | − | 0.948339i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.50702 | −1.35892 | −0.679459 | − | 0.733714i | \(-0.737785\pi\) | ||||
−0.679459 | + | 0.733714i | \(0.737785\pi\) | |||||||
\(12\) | 8.07730 | 2.33172 | ||||||||
\(13\) | −2.50000 | − | 4.33013i | −0.693375 | − | 1.20096i | −0.970725 | − | 0.240192i | \(-0.922790\pi\) |
0.277350 | − | 0.960769i | \(-0.410544\pi\) | |||||||
\(14\) | −4.00702 | + | 6.94036i | −1.07092 | + | 1.85489i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0316332 | − | 0.0547902i | 0.00790829 | − | 0.0136976i | ||||
\(17\) | 0.0793049 | − | 0.137360i | 0.0192343 | − | 0.0333147i | −0.856248 | − | 0.516565i | \(-0.827210\pi\) |
0.875482 | + | 0.483250i | \(0.160544\pi\) | |||||||
\(18\) | −7.50702 | −1.76942 | ||||||||
\(19\) | −4.26053 | + | 0.920816i | −0.977432 | + | 0.211250i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.39608 | − | 7.61423i | 0.959303 | − | 1.66156i | ||||
\(22\) | −5.14959 | + | 8.91935i | −1.09790 | + | 1.90161i | ||||
\(23\) | 0.579305 | + | 1.00339i | 0.120793 | + | 0.209220i | 0.920081 | − | 0.391729i | \(-0.128123\pi\) |
−0.799287 | + | 0.600949i | \(0.794789\pi\) | |||||||
\(24\) | 3.50000 | − | 6.06218i | 0.714435 | − | 1.23744i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −11.4257 | −2.24077 | ||||||||
\(27\) | 0.714858 | 0.137574 | ||||||||
\(28\) | 5.64959 | + | 9.78538i | 1.06767 | + | 1.84926i | ||||
\(29\) | 1.75351 | + | 3.03717i | 0.325619 | + | 0.563988i | 0.981637 | − | 0.190757i | \(-0.0610942\pi\) |
−0.656019 | + | 0.754745i | \(0.727761\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.28514 | −0.410424 | −0.205212 | − | 0.978718i | \(-0.565788\pi\) | ||||
−0.205212 | + | 0.978718i | \(0.565788\pi\) | |||||||
\(32\) | −2.86445 | − | 4.96137i | −0.506368 | − | 0.877054i | ||||
\(33\) | 5.64959 | − | 9.78538i | 0.983467 | − | 1.70342i | ||||
\(34\) | −0.181223 | − | 0.313888i | −0.0310795 | − | 0.0538313i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −5.29216 | + | 9.16629i | −0.882027 | + | 1.52772i | ||||
\(37\) | 10.9648 | 1.80260 | 0.901302 | − | 0.433192i | \(-0.142613\pi\) | ||||
0.901302 | + | 0.433192i | \(0.142613\pi\) | |||||||
\(38\) | −3.04567 | + | 9.48365i | −0.494073 | + | 1.53845i | ||||
\(39\) | 12.5351 | 2.00722 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.03865 | + | 5.26310i | −0.474558 | + | 0.821958i | −0.999576 | − | 0.0291332i | \(-0.990725\pi\) |
0.525018 | + | 0.851091i | \(0.324059\pi\) | |||||||
\(42\) | −10.0457 | − | 17.3996i | −1.55008 | − | 2.68482i | ||||
\(43\) | −1.67420 | + | 2.89981i | −0.255314 | + | 0.442216i | −0.964981 | − | 0.262321i | \(-0.915512\pi\) |
0.709667 | + | 0.704537i | \(0.248845\pi\) | |||||||
\(44\) | 7.26053 | + | 12.5756i | 1.09457 | + | 1.89584i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.64759 | 0.390366 | ||||||||
\(47\) | 1.53163 | + | 2.65287i | 0.223412 | + | 0.386960i | 0.955842 | − | 0.293882i | \(-0.0949472\pi\) |
−0.732430 | + | 0.680842i | \(0.761614\pi\) | |||||||
\(48\) | 0.0793049 | + | 0.137360i | 0.0114467 | + | 0.0198262i | ||||
\(49\) | 5.29918 | 0.757026 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.198819 | + | 0.344364i | 0.0278402 | + | 0.0482207i | ||||
\(52\) | −8.05469 | + | 13.9511i | −1.11698 | + | 1.93467i | ||||
\(53\) | −2.87147 | − | 4.97353i | −0.394426 | − | 0.683166i | 0.598602 | − | 0.801047i | \(-0.295723\pi\) |
−0.993028 | + | 0.117881i | \(0.962390\pi\) | |||||||
\(54\) | 0.816776 | − | 1.41470i | 0.111149 | − | 0.192516i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.79216 | 1.30853 | ||||||||
\(57\) | 3.34139 | − | 10.4045i | 0.442578 | − | 1.37810i | ||||
\(58\) | 8.01404 | 1.05229 | ||||||||
\(59\) | −1.53163 | + | 2.65287i | −0.199402 | + | 0.345374i | −0.948335 | − | 0.317272i | \(-0.897233\pi\) |
0.748933 | + | 0.662646i | \(0.230567\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.436734 | + | 0.756445i | 0.0559180 | + | 0.0968528i | 0.892629 | − | 0.450791i | \(-0.148858\pi\) |
−0.836711 | + | 0.547644i | \(0.815525\pi\) | |||||||
\(62\) | −2.61094 | + | 4.52228i | −0.331589 | + | 0.574330i | ||||
\(63\) | 5.76053 | + | 9.97753i | 0.725758 | + | 1.25705i | ||||
\(64\) | −12.9648 | −1.62060 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −12.9101 | − | 22.3610i | −1.58913 | − | 2.75245i | ||||
\(67\) | −4.22188 | − | 7.31250i | −0.515784 | − | 0.893365i | −0.999832 | − | 0.0183230i | \(-0.994167\pi\) |
0.484048 | − | 0.875042i | \(-0.339166\pi\) | |||||||
\(68\) | −0.511021 | −0.0619704 | ||||||||
\(69\) | −2.90466 | −0.349680 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.11796 | − | 14.0607i | 0.963424 | − | 1.66870i | 0.249634 | − | 0.968340i | \(-0.419690\pi\) |
0.713790 | − | 0.700359i | \(-0.246977\pi\) | |||||||
\(72\) | 4.58632 | + | 7.94375i | 0.540503 | + | 0.936179i | ||||
\(73\) | −3.57930 | + | 6.19954i | −0.418926 | + | 0.725601i | −0.995832 | − | 0.0912097i | \(-0.970927\pi\) |
0.576906 | + | 0.816811i | \(0.304260\pi\) | |||||||
\(74\) | 12.5281 | − | 21.6993i | 1.45636 | − | 2.52249i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 9.43273 | + | 10.4045i | 1.08201 | + | 1.19347i | ||||
\(77\) | 15.8062 | 1.80128 | ||||||||
\(78\) | 14.3222 | − | 24.8068i | 1.62167 | − | 2.80882i | ||||
\(79\) | 5.06327 | − | 8.76983i | 0.569662 | − | 0.986683i | −0.426937 | − | 0.904281i | \(-0.640407\pi\) |
0.996599 | − | 0.0824022i | \(-0.0262592\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.03163 | − | 6.98299i | 0.447959 | − | 0.775888i | ||||
\(82\) | 6.94375 | + | 12.0269i | 0.766809 | + | 1.32815i | ||||
\(83\) | −4.85543 | −0.532952 | −0.266476 | − | 0.963841i | \(-0.585859\pi\) | ||||
−0.266476 | + | 0.963841i | \(0.585859\pi\) | |||||||
\(84\) | −28.3273 | −3.09076 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.82580 | + | 6.62647i | 0.412546 | + | 0.714551i | ||||
\(87\) | −8.79216 | −0.942619 | ||||||||
\(88\) | 12.5843 | 1.34149 | ||||||||
\(89\) | 0.556248 | + | 0.963449i | 0.0589621 | + | 0.102125i | 0.894000 | − | 0.448067i | \(-0.147888\pi\) |
−0.835038 | + | 0.550193i | \(0.814554\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.76755 | + | 15.1858i | 0.919089 | + | 1.59191i | ||||
\(92\) | 1.86645 | − | 3.23278i | 0.194591 | − | 0.337041i | ||||
\(93\) | 2.86445 | − | 4.96137i | 0.297029 | − | 0.514470i | ||||
\(94\) | 7.00000 | 0.721995 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 14.3624 | 1.46586 | ||||||||
\(97\) | 0.809757 | − | 1.40254i | 0.0822184 | − | 0.142406i | −0.821984 | − | 0.569510i | \(-0.807133\pi\) |
0.904203 | + | 0.427104i | \(0.140466\pi\) | |||||||
\(98\) | 6.05469 | − | 10.4870i | 0.611616 | − | 1.05935i | ||||
\(99\) | 7.40310 | + | 12.8225i | 0.744039 | + | 1.28871i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.15661 | − | 10.6636i | −0.612605 | − | 1.06106i | −0.990800 | − | 0.135337i | \(-0.956788\pi\) |
0.378194 | − | 0.925726i | \(-0.376545\pi\) | |||||||
\(102\) | 0.908659 | 0.0899707 | ||||||||
\(103\) | −10.6164 | −1.04606 | −0.523032 | − | 0.852313i | \(-0.675199\pi\) | ||||
−0.523032 | + | 0.852313i | \(0.675199\pi\) | |||||||
\(104\) | 6.98040 | + | 12.0904i | 0.684485 | + | 1.18556i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −13.1234 | −1.27466 | ||||||||
\(107\) | 2.17265 | 0.210038 | 0.105019 | − | 0.994470i | \(-0.466510\pi\) | ||||
0.105019 | + | 0.994470i | \(0.466510\pi\) | |||||||
\(108\) | −1.15159 | − | 1.99461i | −0.110812 | − | 0.191932i | ||||
\(109\) | −7.91012 | + | 13.7007i | −0.757652 | + | 1.31229i | 0.186393 | + | 0.982475i | \(0.440320\pi\) |
−0.944045 | + | 0.329816i | \(0.893013\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −13.7445 | + | 23.8062i | −1.30457 | + | 2.25958i | ||||
\(112\) | −0.110938 | + | 0.192150i | −0.0104827 | + | 0.0181565i | ||||
\(113\) | −9.83828 | −0.925507 | −0.462754 | − | 0.886487i | \(-0.653139\pi\) | ||||
−0.462754 | + | 0.886487i | \(0.653139\pi\) | |||||||
\(114\) | −16.7726 | − | 18.5004i | −1.57089 | − | 1.73272i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 5.64959 | − | 9.78538i | 0.524551 | − | 0.908549i | ||||
\(117\) | −8.21286 | + | 14.2251i | −0.759279 | + | 1.31511i | ||||
\(118\) | 3.50000 | + | 6.06218i | 0.322201 | + | 0.558069i | ||||
\(119\) | −0.278124 | + | 0.481725i | −0.0254956 | + | 0.0441596i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.31322 | 0.846656 | ||||||||
\(122\) | 1.99600 | 0.180709 | ||||||||
\(123\) | −7.61796 | − | 13.1947i | −0.686888 | − | 1.18972i | ||||
\(124\) | 3.68122 | + | 6.37607i | 0.330584 | + | 0.572588i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 26.3273 | 2.34542 | ||||||||
\(127\) | 7.85543 | + | 13.6060i | 0.697056 | + | 1.20734i | 0.969483 | + | 0.245160i | \(0.0788407\pi\) |
−0.272426 | + | 0.962177i | \(0.587826\pi\) | |||||||
\(128\) | −9.08432 | + | 15.7345i | −0.802948 | + | 1.39075i | ||||
\(129\) | −4.19726 | − | 7.26987i | −0.369548 | − | 0.640076i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.76755 | − | 9.98968i | 0.503913 | − | 0.872803i | −0.496077 | − | 0.868279i | \(-0.665227\pi\) |
0.999990 | − | 0.00452412i | \(-0.00144008\pi\) | |||||||
\(132\) | −36.4046 | −3.16861 | ||||||||
\(133\) | 14.9418 | − | 3.22932i | 1.29561 | − | 0.280017i | ||||
\(134\) | −19.2952 | −1.66685 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.221432 | + | 0.383532i | −0.0189876 | + | 0.0328876i | ||||
\(137\) | 0.0546904 | + | 0.0947266i | 0.00467252 | + | 0.00809304i | 0.868352 | − | 0.495948i | \(-0.165179\pi\) |
−0.863680 | + | 0.504041i | \(0.831846\pi\) | |||||||
\(138\) | −3.31878 | + | 5.74829i | −0.282513 | + | 0.489327i | ||||
\(139\) | −0.721876 | − | 1.25033i | −0.0612287 | − | 0.106051i | 0.833786 | − | 0.552088i | \(-0.186169\pi\) |
−0.895015 | + | 0.446036i | \(0.852835\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.67967 | −0.646745 | ||||||||
\(142\) | −18.5507 | − | 32.1307i | −1.55674 | − | 2.69635i | ||||
\(143\) | 11.2675 | + | 19.5160i | 0.942240 | + | 1.63201i | ||||
\(144\) | −0.207839 | −0.0173199 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 8.17922 | + | 14.1668i | 0.676917 | + | 1.17245i | ||||
\(147\) | −6.64257 | + | 11.5053i | −0.547870 | + | 0.948939i | ||||
\(148\) | −17.6636 | − | 30.5943i | −1.45194 | − | 2.51484i | ||||
\(149\) | −0.864447 | + | 1.49727i | −0.0708183 | + | 0.122661i | −0.899260 | − | 0.437414i | \(-0.855894\pi\) |
0.828442 | + | 0.560075i | \(0.189228\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.1406 | −1.63902 | −0.819508 | − | 0.573068i | \(-0.805753\pi\) | ||||
−0.819508 | + | 0.573068i | \(0.805753\pi\) | |||||||
\(152\) | 11.8961 | − | 2.57107i | 0.964900 | − | 0.208541i | ||||
\(153\) | −0.521056 | −0.0421249 | ||||||||
\(154\) | 18.0597 | − | 31.2803i | 1.45529 | − | 2.52064i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −20.1933 | − | 34.9758i | −1.61675 | − | 2.80030i | ||||
\(157\) | 1.88906 | − | 3.27195i | 0.150764 | − | 0.261130i | −0.780745 | − | 0.624850i | \(-0.785160\pi\) |
0.931508 | + | 0.363720i | \(0.118493\pi\) | |||||||
\(158\) | −11.5703 | − | 20.0403i | −0.920482 | − | 1.59432i | ||||
\(159\) | 14.3976 | 1.14181 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.03163 | − | 3.51889i | −0.160115 | − | 0.277328i | ||||
\(162\) | −9.21286 | − | 15.9571i | −0.723830 | − | 1.25371i | ||||
\(163\) | 1.61640 | 0.126606 | 0.0633031 | − | 0.997994i | \(-0.479837\pi\) | ||||
0.0633031 | + | 0.997994i | \(0.479837\pi\) | |||||||
\(164\) | 19.5803 | 1.52897 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.54767 | + | 9.60885i | −0.430583 | + | 0.745791i | ||||
\(167\) | 3.24649 | + | 5.62309i | 0.251221 | + | 0.435128i | 0.963862 | − | 0.266401i | \(-0.0858346\pi\) |
−0.712641 | + | 0.701529i | \(0.752501\pi\) | |||||||
\(168\) | −12.2746 | + | 21.2602i | −0.947003 | + | 1.64026i | ||||
\(169\) | −6.00000 | + | 10.3923i | −0.461538 | + | 0.799408i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.61796 | + | 10.6088i | 0.735504 | + | 0.811273i | ||||
\(172\) | 10.7882 | 0.822589 | ||||||||
\(173\) | 4.26053 | − | 7.37945i | 0.323922 | − | 0.561049i | −0.657372 | − | 0.753567i | \(-0.728332\pi\) |
0.981294 | + | 0.192517i | \(0.0616651\pi\) | |||||||
\(174\) | −10.0457 | + | 17.3996i | −0.761560 | + | 1.31906i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.142571 | + | 0.246941i | −0.0107467 | + | 0.0186139i | ||||
\(177\) | −3.83983 | − | 6.65079i | −0.288620 | − | 0.499904i | ||||
\(178\) | 2.54221 | 0.190547 | ||||||||
\(179\) | −10.2711 | −0.767698 | −0.383849 | − | 0.923396i | \(-0.625402\pi\) | ||||
−0.383849 | + | 0.923396i | \(0.625402\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.13355 | − | 10.6236i | −0.455903 | − | 0.789648i | 0.542836 | − | 0.839838i | \(-0.317350\pi\) |
−0.998740 | + | 0.0501908i | \(0.984017\pi\) | |||||||
\(182\) | 40.0702 | 2.97020 | ||||||||
\(183\) | −2.18980 | −0.161875 | ||||||||
\(184\) | −1.61751 | − | 2.80161i | −0.119245 | − | 0.206538i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −6.54567 | − | 11.3374i | −0.479952 | − | 0.831301i | ||||
\(187\) | −0.357429 | + | 0.619085i | −0.0261378 | + | 0.0452720i | ||||
\(188\) | 4.93473 | − | 8.54721i | 0.359902 | − | 0.623369i | ||||
\(189\) | −2.50702 | −0.182359 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.71085 | 0.413223 | 0.206611 | − | 0.978423i | \(-0.433756\pi\) | ||||
0.206611 | + | 0.978423i | \(0.433756\pi\) | |||||||
\(192\) | 16.2515 | − | 28.1484i | 1.17285 | − | 2.03144i | ||||
\(193\) | −5.07930 | + | 8.79761i | −0.365616 | + | 0.633266i | −0.988875 | − | 0.148750i | \(-0.952475\pi\) |
0.623259 | + | 0.782016i | \(0.285808\pi\) | |||||||
\(194\) | −1.85041 | − | 3.20500i | −0.132852 | − | 0.230106i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.53665 | − | 14.7859i | −0.609761 | − | 1.05614i | ||||
\(197\) | −16.2038 | −1.15448 | −0.577238 | − | 0.816576i | \(-0.695869\pi\) | ||||
−0.577238 | + | 0.816576i | \(0.695869\pi\) | |||||||
\(198\) | 33.8343 | 2.40450 | ||||||||
\(199\) | −0.167186 | − | 0.289574i | −0.0118515 | − | 0.0205274i | 0.860039 | − | 0.510229i | \(-0.170439\pi\) |
−0.871890 | + | 0.489701i | \(0.837106\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 21.1686 | 1.49312 | ||||||||
\(202\) | −28.1375 | −1.97974 | ||||||||
\(203\) | −6.14959 | − | 10.6514i | −0.431617 | − | 0.747582i | ||||
\(204\) | 0.640570 | − | 1.10950i | 0.0448489 | − | 0.0776805i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −12.1300 | + | 21.0098i | −0.845137 | + | 1.46382i | ||||
\(207\) | 1.90310 | − | 3.29626i | 0.132275 | − | 0.229106i | ||||
\(208\) | −0.316332 | −0.0219336 | ||||||||
\(209\) | 19.2023 | − | 4.15013i | 1.32825 | − | 0.287071i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.01404 | + | 1.75636i | −0.0698092 | + | 0.120913i | −0.898817 | − | 0.438324i | \(-0.855572\pi\) |
0.829008 | + | 0.559237i | \(0.188906\pi\) | |||||||
\(212\) | −9.25151 | + | 16.0241i | −0.635396 | + | 1.10054i | ||||
\(213\) | 20.3519 | + | 35.2505i | 1.39449 | + | 2.41532i | ||||
\(214\) | 2.48240 | − | 4.29965i | 0.169694 | − | 0.293918i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.99600 | −0.135810 | ||||||||
\(217\) | 8.01404 | 0.544028 | ||||||||
\(218\) | 18.0757 | + | 31.3081i | 1.22424 | + | 2.12045i | ||||
\(219\) | −8.97338 | − | 15.5424i | −0.606365 | − | 1.05026i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.793049 | −0.0533463 | ||||||||
\(222\) | 31.4081 | + | 54.4005i | 2.10797 | + | 3.65112i | ||||
\(223\) | −9.61596 | + | 16.6553i | −0.643932 | + | 1.11532i | 0.340615 | + | 0.940203i | \(0.389365\pi\) |
−0.984547 | + | 0.175120i | \(0.943969\pi\) | |||||||
\(224\) | 10.0457 | + | 17.3996i | 0.671205 | + | 1.16256i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.2409 | + | 19.4699i | −0.747736 | + | 1.29512i | ||||
\(227\) | −4.00000 | −0.265489 | −0.132745 | − | 0.991150i | \(-0.542379\pi\) | ||||
−0.132745 | + | 0.991150i | \(0.542379\pi\) | |||||||
\(228\) | −34.4136 | + | 7.43771i | −2.27909 | + | 0.492574i | ||||
\(229\) | −12.9788 | −0.857666 | −0.428833 | − | 0.903384i | \(-0.641075\pi\) | ||||
−0.428833 | + | 0.903384i | \(0.641075\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −19.8132 | + | 34.3175i | −1.30361 | + | 2.25793i | ||||
\(232\) | −4.89608 | − | 8.48026i | −0.321443 | − | 0.556756i | ||||
\(233\) | 13.5367 | − | 23.4462i | 0.886815 | − | 1.53601i | 0.0431968 | − | 0.999067i | \(-0.486246\pi\) |
0.843619 | − | 0.536943i | \(-0.180421\pi\) | |||||||
\(234\) | 18.7675 | + | 32.5063i | 1.22687 | + | 2.12501i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 9.86946 | 0.642447 | ||||||||
\(237\) | 12.6937 | + | 21.9861i | 0.824545 | + | 1.42815i | ||||
\(238\) | 0.635553 | + | 1.10081i | 0.0411968 | + | 0.0713549i | ||||
\(239\) | 20.0602 | 1.29758 | 0.648792 | − | 0.760966i | \(-0.275275\pi\) | ||||
0.648792 | + | 0.760966i | \(0.275275\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.7922 | + | 18.6926i | 0.695184 | + | 1.20409i | 0.970119 | + | 0.242631i | \(0.0780105\pi\) |
−0.274934 | + | 0.961463i | \(0.588656\pi\) | |||||||
\(242\) | 10.6410 | − | 18.4308i | 0.684030 | − | 1.18478i | ||||
\(243\) | 11.1797 | + | 19.3637i | 0.717176 | + | 1.24219i | ||||
\(244\) | 1.40710 | − | 2.43717i | 0.0900805 | − | 0.156024i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −34.8162 | −2.21980 | ||||||||
\(247\) | 14.6386 | + | 16.1466i | 0.931430 | + | 1.02738i | ||||
\(248\) | 6.38049 | 0.405161 | ||||||||
\(249\) | 6.08632 | − | 10.5418i | 0.385705 | − | 0.668061i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.63400 | + | 6.29426i | 0.229376 | + | 0.397290i | 0.957623 | − | 0.288024i | \(-0.0929982\pi\) |
−0.728248 | + | 0.685314i | \(0.759665\pi\) | |||||||
\(252\) | 18.5597 | − | 32.1464i | 1.16915 | − | 2.02503i | ||||
\(253\) | −2.61094 | − | 4.52228i | −0.164148 | − | 0.284313i | ||||
\(254\) | 35.9015 | 2.25266 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.79416 | + | 13.4999i | 0.487135 | + | 0.843743i | ||||
\(257\) | 7.53865 | + | 13.0573i | 0.470248 | + | 0.814494i | 0.999421 | − | 0.0340202i | \(-0.0108311\pi\) |
−0.529173 | + | 0.848514i | \(0.677498\pi\) | |||||||
\(258\) | −19.1827 | −1.19426 | ||||||||
\(259\) | −38.4538 | −2.38940 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.76053 | − | 9.97753i | 0.356568 | − | 0.617593i | ||||
\(262\) | −13.1797 | − | 22.8279i | −0.814242 | − | 1.41031i | ||||
\(263\) | 10.0773 | − | 17.4544i | 0.621393 | − | 1.07628i | −0.367833 | − | 0.929892i | \(-0.619900\pi\) |
0.989227 | − | 0.146393i | \(-0.0467663\pi\) | |||||||
\(264\) | −15.7746 | + | 27.3223i | −0.970857 | + | 1.68157i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 10.6812 | − | 33.2593i | 0.654908 | − | 2.03926i | ||||
\(267\) | −2.78905 | −0.170687 | ||||||||
\(268\) | −13.6024 | + | 23.5600i | −0.830897 | + | 1.43915i | ||||
\(269\) | 3.86245 | − | 6.68995i | 0.235497 | − | 0.407894i | −0.723920 | − | 0.689884i | \(-0.757661\pi\) |
0.959417 | + | 0.281991i | \(0.0909947\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.64257 | − | 4.57707i | 0.160525 | − | 0.278037i | −0.774532 | − | 0.632534i | \(-0.782015\pi\) |
0.935057 | + | 0.354497i | \(0.115348\pi\) | |||||||
\(272\) | −0.00501733 | − | 0.00869027i | −0.000304220 | − | 0.000526925i | ||||
\(273\) | −43.9608 | −2.66063 | ||||||||
\(274\) | 0.249951 | 0.0151001 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 4.67922 | + | 8.10465i | 0.281656 | + | 0.487843i | ||||
\(277\) | −30.6264 | −1.84016 | −0.920082 | − | 0.391726i | \(-0.871878\pi\) | ||||
−0.920082 | + | 0.391726i | \(0.871878\pi\) | |||||||
\(278\) | −3.29918 | −0.197872 | ||||||||
\(279\) | 3.75351 | + | 6.50127i | 0.224717 | + | 0.389221i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.68122 | − | 11.5722i | −0.398568 | − | 0.690341i | 0.594981 | − | 0.803740i | \(-0.297159\pi\) |
−0.993550 | + | 0.113399i | \(0.963826\pi\) | |||||||
\(282\) | −8.77457 | + | 15.1980i | −0.522518 | + | 0.905027i | ||||
\(283\) | 2.04767 | − | 3.54667i | 0.121721 | − | 0.210828i | −0.798725 | − | 0.601696i | \(-0.794492\pi\) |
0.920447 | + | 0.390868i | \(0.127825\pi\) | |||||||
\(284\) | −52.3101 | −3.10403 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 51.4959 | 3.04502 | ||||||||
\(287\) | 10.6566 | − | 18.4578i | 0.629040 | − | 1.08953i | ||||
\(288\) | −9.41012 | + | 16.2988i | −0.554497 | + | 0.960416i | ||||
\(289\) | 8.48742 | + | 14.7006i | 0.499260 | + | 0.864744i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.03008 | + | 3.51619i | 0.119005 | + | 0.206123i | ||||
\(292\) | 23.0642 | 1.34973 | ||||||||
\(293\) | −12.1726 | −0.711134 | −0.355567 | − | 0.934651i | \(-0.615712\pi\) | ||||
−0.355567 | + | 0.934651i | \(0.615712\pi\) | |||||||
\(294\) | 15.1792 | + | 26.2912i | 0.885270 | + | 1.53333i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −30.6155 | −1.77949 | ||||||||
\(297\) | −3.22188 | −0.186952 | ||||||||
\(298\) | 1.97539 | + | 3.42147i | 0.114431 | + | 0.198200i | ||||
\(299\) | 2.89652 | − | 5.01693i | 0.167510 | − | 0.290136i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.87147 | − | 10.1697i | 0.338426 | − | 0.586170i | ||||
\(302\) | −23.0120 | + | 39.8580i | −1.32419 | + | 2.29357i | ||||
\(303\) | 30.8695 | 1.77340 | ||||||||
\(304\) | −0.0843223 | + | 0.262564i | −0.00483621 | + | 0.0150591i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.595344 | + | 1.03117i | −0.0340335 | + | 0.0589478i | ||||
\(307\) | 12.2675 | − | 21.2480i | 0.700146 | − | 1.21269i | −0.268269 | − | 0.963344i | \(-0.586452\pi\) |
0.968415 | − | 0.249344i | \(-0.0802150\pi\) | |||||||
\(308\) | −25.4628 | − | 44.1029i | −1.45088 | − | 2.51299i | ||||
\(309\) | 13.3078 | − | 23.0497i | 0.757052 | − | 1.31125i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.2038 | −0.578606 | −0.289303 | − | 0.957238i | \(-0.593424\pi\) | ||||
−0.289303 | + | 0.957238i | \(0.593424\pi\) | |||||||
\(312\) | −35.0000 | −1.98148 | ||||||||
\(313\) | −15.9910 | − | 27.6972i | −0.903864 | − | 1.56554i | −0.822435 | − | 0.568859i | \(-0.807385\pi\) |
−0.0814282 | − | 0.996679i | \(-0.525948\pi\) | |||||||
\(314\) | −4.31678 | − | 7.47687i | −0.243610 | − | 0.421944i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −32.6264 | −1.83538 | ||||||||
\(317\) | 1.11796 | + | 1.93636i | 0.0627907 | + | 0.108757i | 0.895712 | − | 0.444635i | \(-0.146667\pi\) |
−0.832921 | + | 0.553392i | \(0.813333\pi\) | |||||||
\(318\) | 16.4503 | − | 28.4928i | 0.922489 | − | 1.59780i | ||||
\(319\) | −7.90310 | − | 13.6886i | −0.442489 | − | 0.766413i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.72343 | + | 4.71713i | −0.152007 | + | 0.263284i | ||||
\(322\) | −9.28514 | −0.517441 | ||||||||
\(323\) | −0.211397 | + | 0.658252i | −0.0117625 | + | 0.0366261i | ||||
\(324\) | −25.9788 | −1.44327 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.84685 | − | 3.19884i | 0.102288 | − | 0.177167i | ||||
\(327\) | −19.8308 | − | 34.3480i | −1.09665 | − | 1.89945i | ||||
\(328\) | 8.48441 | − | 14.6954i | 0.468473 | − | 0.811419i | ||||
\(329\) | −5.37147 | − | 9.30365i | −0.296139 | − | 0.512927i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0913 | −0.554670 | −0.277335 | − | 0.960773i | \(-0.589451\pi\) | ||||
−0.277335 | + | 0.960773i | \(0.589451\pi\) | |||||||
\(332\) | 7.82179 | + | 13.5477i | 0.429277 | + | 0.743529i | ||||
\(333\) | −18.0105 | − | 31.1951i | −0.986968 | − | 1.70948i | ||||
\(334\) | 14.8374 | 0.811866 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.278124 | − | 0.481725i | −0.0151729 | − | 0.0262802i | ||||
\(337\) | 2.80620 | − | 4.86048i | 0.152863 | − | 0.264767i | −0.779416 | − | 0.626507i | \(-0.784484\pi\) |
0.932279 | + | 0.361740i | \(0.117817\pi\) | |||||||
\(338\) | 13.7109 | + | 23.7479i | 0.745772 | + | 1.29172i | ||||
\(339\) | 12.3324 | − | 21.3603i | 0.669802 | − | 1.16013i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 10.2992 | 0.557732 | ||||||||
\(342\) | 31.9839 | − | 6.91258i | 1.72949 | − | 0.373790i | ||||
\(343\) | 5.96481 | 0.322069 | ||||||||
\(344\) | 4.67465 | − | 8.09673i | 0.252040 | − | 0.436546i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.73591 | − | 16.8631i | −0.523406 | − | 0.906566i | ||||
\(347\) | 2.73747 | − | 4.74144i | 0.146955 | − | 0.254534i | −0.783146 | − | 0.621838i | \(-0.786386\pi\) |
0.930101 | + | 0.367305i | \(0.119719\pi\) | |||||||
\(348\) | 14.1636 | + | 24.5321i | 0.759250 | + | 1.31506i | ||||
\(349\) | −18.8202 | −1.00742 | −0.503712 | − | 0.863872i | \(-0.668033\pi\) | ||||
−0.503712 | + | 0.863872i | \(0.668033\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.78714 | − | 3.09542i | −0.0953907 | − | 0.165222i | ||||
\(352\) | 12.9101 | + | 22.3610i | 0.688112 | + | 1.19184i | ||||
\(353\) | 12.7008 | 0.675996 | 0.337998 | − | 0.941147i | \(-0.390250\pi\) | ||||
0.337998 | + | 0.941147i | \(0.390250\pi\) | |||||||
\(354\) | −17.5491 | −0.932726 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.79216 | − | 3.10411i | 0.0949843 | − | 0.164518i | ||||
\(357\) | −0.697262 | − | 1.20769i | −0.0369030 | − | 0.0639179i | ||||
\(358\) | −11.7355 | + | 20.3264i | −0.620239 | + | 1.07429i | ||||
\(359\) | 5.54021 | − | 9.59592i | 0.292401 | − | 0.506453i | −0.681976 | − | 0.731375i | \(-0.738879\pi\) |
0.974377 | + | 0.224921i | \(0.0722125\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.3042 | − | 7.84632i | 0.910747 | − | 0.412964i | ||||
\(362\) | −28.0321 | −1.47333 | ||||||||
\(363\) | −11.6742 | + | 20.2203i | −0.612737 | + | 1.06129i | ||||
\(364\) | 28.2479 | − | 48.9269i | 1.48059 | − | 2.56447i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −2.50200 | + | 4.33359i | −0.130782 | + | 0.226521i | ||||
\(367\) | −10.3202 | − | 17.8752i | −0.538712 | − | 0.933076i | −0.998974 | − | 0.0452932i | \(-0.985578\pi\) |
0.460262 | − | 0.887783i | \(-0.347756\pi\) | |||||||
\(368\) | 0.0733010 | 0.00382108 | ||||||||
\(369\) | 19.9648 | 1.03933 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.0703 | + | 17.4422i | 0.522823 | + | 0.905556i | ||||
\(372\) | −18.4578 | −0.956992 | ||||||||
\(373\) | −4.55313 | −0.235752 | −0.117876 | − | 0.993028i | \(-0.537609\pi\) | ||||
−0.117876 | + | 0.993028i | \(0.537609\pi\) | |||||||
\(374\) | 0.816776 | + | 1.41470i | 0.0422345 | + | 0.0731522i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.27657 | − | 7.40723i | −0.220547 | − | 0.381999i | ||||
\(377\) | 8.76755 | − | 15.1858i | 0.451552 | − | 0.782110i | ||||
\(378\) | −2.86445 | + | 4.96137i | −0.147331 | + | 0.255185i | ||||
\(379\) | −19.9187 | −1.02315 | −0.511577 | − | 0.859237i | \(-0.670939\pi\) | ||||
−0.511577 | + | 0.859237i | \(0.670939\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −39.3874 | −2.01788 | ||||||||
\(382\) | 6.52506 | − | 11.3017i | 0.333851 | − | 0.578247i | ||||
\(383\) | −9.98742 | + | 17.2987i | −0.510333 | + | 0.883923i | 0.489595 | + | 0.871950i | \(0.337145\pi\) |
−0.999928 | + | 0.0119734i | \(0.996189\pi\) | |||||||
\(384\) | −22.7746 | − | 39.4467i | −1.16221 | − | 2.01301i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.6069 | + | 20.1038i | 0.590777 | + | 1.02326i | ||||
\(387\) | 11.0000 | 0.559161 | ||||||||
\(388\) | −5.21787 | −0.264897 | ||||||||
\(389\) | −6.90110 | − | 11.9531i | −0.349900 | − | 0.606044i | 0.636332 | − | 0.771416i | \(-0.280451\pi\) |
−0.986231 | + | 0.165372i | \(0.947118\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.183767 | 0.00929349 | ||||||||
\(392\) | −14.7962 | −0.747319 | ||||||||
\(393\) | 14.4593 | + | 25.0443i | 0.729378 | + | 1.26332i | ||||
\(394\) | −18.5140 | + | 32.0673i | −0.932724 | + | 1.61552i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 23.8519 | − | 41.3126i | 1.19860 | − | 2.07604i | ||||
\(397\) | −8.27457 | + | 14.3320i | −0.415289 | + | 0.719301i | −0.995459 | − | 0.0951945i | \(-0.969653\pi\) |
0.580170 | + | 0.814495i | \(0.302986\pi\) | |||||||
\(398\) | −0.764087 | −0.0383002 | ||||||||
\(399\) | −11.7183 | + | 36.4886i | −0.586650 | + | 1.82672i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.26253 | + | 7.38292i | −0.212861 | + | 0.368685i | −0.952609 | − | 0.304199i | \(-0.901611\pi\) |
0.739748 | + | 0.672884i | \(0.234945\pi\) | |||||||
\(402\) | 24.1867 | − | 41.8926i | 1.20632 | − | 2.08941i | ||||
\(403\) | 5.71286 | + | 9.89496i | 0.284578 | + | 0.492903i | ||||
\(404\) | −19.8358 | + | 34.3567i | −0.986869 | + | 1.70931i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −28.1054 | −1.39485 | ||||||||
\(407\) | −49.4186 | −2.44959 | ||||||||
\(408\) | −0.555134 | − | 0.961521i | −0.0274833 | − | 0.0476024i | ||||
\(409\) | 5.78314 | + | 10.0167i | 0.285958 | + | 0.495294i | 0.972841 | − | 0.231474i | \(-0.0743549\pi\) |
−0.686883 | + | 0.726768i | \(0.741022\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.274220 | −0.0135263 | ||||||||
\(412\) | 17.1024 | + | 29.6222i | 0.842573 | + | 1.45938i | ||||
\(413\) | 5.37147 | − | 9.30365i | 0.264313 | − | 0.457803i | ||||
\(414\) | −4.34885 | − | 7.53243i | −0.213734 | − | 0.370199i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −14.3222 | + | 24.8068i | −0.702205 | + | 1.21626i | ||||
\(417\) | 3.61951 | 0.177248 | ||||||||
\(418\) | 13.7269 | − | 42.7430i | 0.671404 | − | 2.09063i | ||||
\(419\) | −21.7149 | −1.06084 | −0.530420 | − | 0.847735i | \(-0.677966\pi\) | ||||
−0.530420 | + | 0.847735i | \(0.677966\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.46135 | − | 5.99523i | 0.168696 | − | 0.292190i | −0.769266 | − | 0.638929i | \(-0.779378\pi\) |
0.937962 | + | 0.346739i | \(0.112711\pi\) | |||||||
\(422\) | 2.31722 | + | 4.01354i | 0.112800 | + | 0.195376i | ||||
\(423\) | 5.03163 | − | 8.71504i | 0.244646 | − | 0.423740i | ||||
\(424\) | 8.01760 | + | 13.8869i | 0.389369 | + | 0.674407i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 93.0138 | 4.50654 | ||||||||
\(427\) | −1.53163 | − | 2.65287i | −0.0741209 | − | 0.128381i | ||||
\(428\) | −3.50000 | − | 6.06218i | −0.169179 | − | 0.293026i | ||||
\(429\) | −56.4959 | −2.72765 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.9894 | + | 24.2304i | 0.673847 | + | 1.16714i | 0.976805 | + | 0.214133i | \(0.0686926\pi\) |
−0.302958 | + | 0.953004i | \(0.597974\pi\) | |||||||
\(432\) | 0.0226132 | − | 0.0391672i | 0.00108798 | − | 0.00188443i | ||||
\(433\) | 3.12698 | + | 5.41608i | 0.150273 | + | 0.260280i | 0.931328 | − | 0.364182i | \(-0.118651\pi\) |
−0.781055 | + | 0.624462i | \(0.785318\pi\) | |||||||
\(434\) | 9.15661 | − | 15.8597i | 0.439531 | − | 0.761290i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 50.9708 | 2.44106 | ||||||||
\(437\) | −3.39208 | − | 3.74152i | −0.162265 | − | 0.178981i | ||||
\(438\) | −41.0109 | −1.95958 | ||||||||
\(439\) | −15.5988 | + | 27.0179i | −0.744490 | + | 1.28949i | 0.205942 | + | 0.978564i | \(0.433974\pi\) |
−0.950433 | + | 0.310931i | \(0.899359\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −8.70428 | − | 15.0763i | −0.414490 | − | 0.717917i | ||||
\(442\) | −0.906115 | + | 1.56944i | −0.0430995 | + | 0.0746505i | ||||
\(443\) | −16.3519 | − | 28.3223i | −0.776901 | − | 1.34563i | −0.933720 | − | 0.358004i | \(-0.883457\pi\) |
0.156819 | − | 0.987627i | \(-0.449876\pi\) | |||||||
\(444\) | 88.5661 | 4.20316 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 21.9738 | + | 38.0598i | 1.04049 | + | 1.80218i | ||||
\(447\) | −2.16719 | − | 3.75368i | −0.102504 | − | 0.177543i | ||||
\(448\) | 45.4678 | 2.14815 | ||||||||
\(449\) | 25.6304 | 1.20958 | 0.604788 | − | 0.796387i | \(-0.293258\pi\) | ||||
0.604788 | + | 0.796387i | \(0.293258\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.6953 | − | 23.7209i | 0.644885 | − | 1.11697i | ||||
\(452\) | 15.8489 | + | 27.4510i | 0.745467 | + | 1.29119i | ||||
\(453\) | 25.2464 | − | 43.7280i | 1.18618 | − | 2.05452i | ||||
\(454\) | −4.57028 | + | 7.91597i | −0.214494 | + | 0.371515i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.32970 | + | 29.0509i | −0.436903 | + | 1.36043i | ||||
\(457\) | −33.1646 | −1.55138 | −0.775688 | − | 0.631116i | \(-0.782597\pi\) | ||||
−0.775688 | + | 0.631116i | \(0.782597\pi\) | |||||||
\(458\) | −14.8293 | + | 25.6850i | −0.692926 | + | 1.20018i | ||||
\(459\) | 0.0566917 | − | 0.0981929i | 0.00264614 | − | 0.00458325i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.08788 | + | 1.88426i | −0.0506677 | + | 0.0877590i | −0.890247 | − | 0.455478i | \(-0.849468\pi\) |
0.839579 | + | 0.543237i | \(0.182802\pi\) | |||||||
\(462\) | 45.2760 | + | 78.4204i | 2.10643 | + | 3.64845i | ||||
\(463\) | 6.20072 | 0.288172 | 0.144086 | − | 0.989565i | \(-0.453976\pi\) | ||||
0.144086 | + | 0.989565i | \(0.453976\pi\) | |||||||
\(464\) | 0.221876 | 0.0103003 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −30.9332 | − | 53.5778i | −1.43295 | − | 2.48195i | ||||
\(467\) | 17.1546 | 0.793821 | 0.396910 | − | 0.917857i | \(-0.370082\pi\) | ||||
0.396910 | + | 0.917857i | \(0.370082\pi\) | |||||||
\(468\) | 52.9216 | 2.44630 | ||||||||
\(469\) | 14.8062 | + | 25.6451i | 0.683687 | + | 1.18418i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.73591 | + | 8.20284i | 0.218219 | + | 0.377967i | ||||
\(472\) | 4.27657 | − | 7.40723i | 0.196845 | − | 0.340945i | ||||
\(473\) | 7.54567 | − | 13.0695i | 0.346950 | − | 0.600936i | ||||
\(474\) | 58.0138 | 2.66466 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 1.79216 | 0.0821436 | ||||||||
\(477\) | −9.43318 | + | 16.3387i | −0.431915 | + | 0.748099i | ||||
\(478\) | 22.9202 | − | 39.6989i | 1.04834 | − | 1.81578i | ||||
\(479\) | 17.8891 | + | 30.9848i | 0.817372 | + | 1.41573i | 0.907612 | + | 0.419810i | \(0.137903\pi\) |
−0.0902399 | + | 0.995920i | \(0.528763\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −27.4120 | − | 47.4790i | −1.24988 | − | 2.16486i | ||||
\(482\) | 49.3233 | 2.24661 | ||||||||
\(483\) | 10.1867 | 0.463510 | ||||||||
\(484\) | −15.0030 | − | 25.9860i | −0.681955 | − | 1.18118i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 51.0943 | 2.31768 | ||||||||
\(487\) | 23.7149 | 1.07462 | 0.537311 | − | 0.843384i | \(-0.319440\pi\) | ||||
0.537311 | + | 0.843384i | \(0.319440\pi\) | |||||||
\(488\) | −1.21943 | − | 2.11212i | −0.0552010 | − | 0.0956110i | ||||
\(489\) | −2.02617 | + | 3.50943i | −0.0916267 | + | 0.158702i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.5933 | − | 33.9367i | 0.884235 | − | 1.53154i | 0.0376474 | − | 0.999291i | \(-0.488014\pi\) |
0.846588 | − | 0.532249i | \(-0.178653\pi\) | |||||||
\(492\) | −24.5441 | + | 42.5117i | −1.10653 | + | 1.91657i | ||||
\(493\) | 0.556248 | 0.0250521 | ||||||||
\(494\) | 48.6796 | − | 10.5210i | 2.19020 | − | 0.473361i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.0722863 | + | 0.125204i | −0.00324575 | + | 0.00562180i | ||||
\(497\) | −28.4698 | + | 49.3112i | −1.27705 | + | 2.21191i | ||||
\(498\) | −13.9081 | − | 24.0896i | −0.623238 | − | 1.07948i | ||||
\(499\) | 4.68824 | − | 8.12027i | 0.209875 | − | 0.363513i | −0.741800 | − | 0.670621i | \(-0.766028\pi\) |
0.951675 | + | 0.307107i | \(0.0993611\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −16.2780 | −0.727249 | ||||||||
\(502\) | 16.6084 | 0.741269 | ||||||||
\(503\) | 6.74649 | + | 11.6853i | 0.300811 | + | 0.521020i | 0.976320 | − | 0.216332i | \(-0.0694093\pi\) |
−0.675509 | + | 0.737352i | \(0.736076\pi\) | |||||||
\(504\) | −16.0843 | − | 27.8589i | −0.716453 | − | 1.24093i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −11.9327 | −0.530475 | ||||||||
\(507\) | −15.0421 | − | 26.0537i | −0.668044 | − | 1.15709i | ||||
\(508\) | 25.3092 | − | 43.8368i | 1.12291 | − | 1.94495i | ||||
\(509\) | −12.8534 | − | 22.2628i | −0.569718 | − | 0.986781i | −0.996594 | − | 0.0824703i | \(-0.973719\pi\) |
0.426875 | − | 0.904310i | \(-0.359614\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.5527 | − | 21.7419i | 0.555298 | − | 0.961805i | ||||
\(512\) | −0.715746 | −0.0316318 | ||||||||
\(513\) | −3.04567 | + | 0.658252i | −0.134470 | + | 0.0290625i | ||||
\(514\) | 34.4538 | 1.51969 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −13.5231 | + | 23.4226i | −0.595319 | + | 1.03112i | ||||
\(517\) | −6.90310 | − | 11.9565i | −0.303598 | − | 0.525847i | ||||
\(518\) | −43.9362 | + | 76.0997i | −1.93045 | + | 3.34363i | ||||
\(519\) | 10.6812 | + | 18.5004i | 0.468854 | + | 0.812078i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −37.7358 | −1.65324 | −0.826618 | − | 0.562763i | \(-0.809738\pi\) | ||||
−0.826618 | + | 0.562763i | \(0.809738\pi\) | |||||||
\(522\) | −13.1636 | − | 22.8001i | −0.576156 | − | 0.997932i | ||||
\(523\) | 19.2003 | + | 33.2559i | 0.839570 | + | 1.45418i | 0.890255 | + | 0.455462i | \(0.150526\pi\) |
−0.0506855 | + | 0.998715i | \(0.516141\pi\) | |||||||
\(524\) | −37.1646 | −1.62354 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −23.0281 | − | 39.8858i | −1.00407 | − | 1.73910i | ||||
\(527\) | −0.181223 | + | 0.313888i | −0.00789420 | + | 0.0136732i | ||||
\(528\) | −0.357429 | − | 0.619085i | −0.0155551 | − | 0.0269422i | ||||
\(529\) | 10.8288 | − | 18.7561i | 0.470818 | − | 0.815481i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.0633 | 0.436709 | ||||||||
\(532\) | −33.0808 | − | 36.4886i | −1.43423 | − | 1.58198i | ||||
\(533\) | 30.3865 | 1.31619 | ||||||||
\(534\) | −3.18668 | + | 5.51950i | −0.137901 | + | 0.238852i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 11.7882 | + | 20.4177i | 0.509171 | + | 0.881910i | ||||
\(537\) | 12.8749 | − | 22.3000i | 0.555594 | − | 0.962317i | ||||
\(538\) | −8.82624 | − | 15.2875i | −0.380526 | − | 0.659091i | ||||
\(539\) | −23.8835 | −1.02874 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.40310 | + | 11.0905i | 0.275291 | + | 0.476818i | 0.970208 | − | 0.242272i | \(-0.0778926\pi\) |
−0.694918 | + | 0.719089i | \(0.744559\pi\) | |||||||
\(542\) | −6.03865 | − | 10.4593i | −0.259382 | − | 0.449263i | ||||
\(543\) | 30.7539 | 1.31977 | ||||||||
\(544\) | −0.908659 | −0.0389584 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −50.2284 | + | 86.9981i | −2.14958 | + | 3.72317i | ||||
\(547\) | −9.12853 | − | 15.8111i | −0.390308 | − | 0.676033i | 0.602182 | − | 0.798359i | \(-0.294298\pi\) |
−0.992490 | + | 0.122326i | \(0.960965\pi\) | |||||||
\(548\) | 0.176206 | − | 0.305197i | 0.00752714 | − | 0.0130374i | ||||
\(549\) | 1.43473 | − | 2.48503i | 0.0612329 | − | 0.106058i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −10.2675 | − | 11.3253i | −0.437412 | − | 0.482473i | ||||
\(552\) | 8.11027 | 0.345196 | ||||||||
\(553\) | −17.7570 | + | 30.7560i | −0.755103 | + | 1.30788i | ||||
\(554\) | −34.9929 | + | 60.6095i | −1.48671 | + | 2.57505i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.32580 | + | 4.02840i | −0.0986357 | + | 0.170842i | ||||
\(557\) | 7.45233 | + | 12.9078i | 0.315765 | + | 0.546922i | 0.979600 | − | 0.200958i | \(-0.0644054\pi\) |
−0.663835 | + | 0.747879i | \(0.731072\pi\) | |||||||
\(558\) | 17.1546 | 0.726212 | ||||||||
\(559\) | 16.7420 | 0.708113 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.896081 | − | 1.55206i | −0.0378326 | − | 0.0655279i | ||||
\(562\) | −30.5351 | −1.28805 | ||||||||
\(563\) | −45.7810 | −1.92944 | −0.964720 | − | 0.263276i | \(-0.915197\pi\) | ||||
−0.964720 | + | 0.263276i | \(0.915197\pi\) | |||||||
\(564\) | 12.3715 | + | 21.4280i | 0.520933 | + | 0.902282i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.67922 | − | 8.10465i | −0.196682 | − | 0.340664i | ||||
\(567\) | −14.1390 | + | 24.4895i | −0.593783 | + | 1.02846i | ||||
\(568\) | −22.6666 | + | 39.2598i | −0.951071 | + | 1.64730i | ||||
\(569\) | 0.379598 | 0.0159136 | 0.00795679 | − | 0.999968i | \(-0.497467\pi\) | ||||
0.00795679 | + | 0.999968i | \(0.497467\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.8514 | −0.663361 | −0.331681 | − | 0.943392i | \(-0.607616\pi\) | ||||
−0.331681 | + | 0.943392i | \(0.607616\pi\) | |||||||
\(572\) | 36.3026 | − | 62.8780i | 1.51789 | − | 2.62906i | ||||
\(573\) | −7.15861 | + | 12.3991i | −0.299055 | + | 0.517979i | ||||
\(574\) | −24.3519 | − | 42.1787i | −1.01643 | − | 1.76050i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 21.2956 | + | 36.8851i | 0.887318 | + | 1.53688i | ||||
\(577\) | 19.2350 | 0.800765 | 0.400382 | − | 0.916348i | \(-0.368877\pi\) | ||||
0.400382 | + | 0.916348i | \(0.368877\pi\) | |||||||
\(578\) | 38.7899 | 1.61345 | ||||||||
\(579\) | −12.7339 | − | 22.0558i | −0.529203 | − | 0.916607i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.0281 | 0.706444 | ||||||||
\(582\) | 9.27803 | 0.384587 | ||||||||
\(583\) | 12.9418 | + | 22.4158i | 0.535993 | + | 0.928366i | ||||
\(584\) | 9.99400 | − | 17.3101i | 0.413554 | − | 0.716297i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.9081 | + | 24.0896i | −0.574539 | + | 0.995131i | ||||
\(587\) | 20.4242 | − | 35.3757i | 0.842995 | − | 1.46011i | −0.0443559 | − | 0.999016i | \(-0.514124\pi\) |
0.887351 | − | 0.461095i | \(-0.152543\pi\) | |||||||
\(588\) | 42.8031 | 1.76517 | ||||||||
\(589\) | 9.73591 | − | 2.10419i | 0.401161 | − | 0.0867018i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 20.3117 | − | 35.1808i | 0.835510 | − | 1.44715i | ||||
\(592\) | 0.346852 | − | 0.600764i | 0.0142555 | − | 0.0246913i | ||||
\(593\) | −7.12342 | − | 12.3381i | −0.292524 | − | 0.506666i | 0.681882 | − | 0.731462i | \(-0.261162\pi\) |
−0.974406 | + | 0.224796i | \(0.927828\pi\) | |||||||
\(594\) | −3.68122 | + | 6.37607i | −0.151042 | + | 0.261613i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.57028 | 0.228168 | ||||||||
\(597\) | 0.838276 | 0.0343083 | ||||||||
\(598\) | −6.61897 | − | 11.4644i | −0.270670 | − | 0.468814i | ||||
\(599\) | 7.92571 | + | 13.7277i | 0.323836 | + | 0.560900i | 0.981276 | − | 0.192607i | \(-0.0616941\pi\) |
−0.657440 | + | 0.753507i | \(0.728361\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.4718 | 0.671900 | 0.335950 | − | 0.941880i | \(-0.390943\pi\) | ||||
0.335950 | + | 0.941880i | \(0.390943\pi\) | |||||||
\(602\) | −13.4171 | − | 23.2392i | −0.546842 | − | 0.947158i | ||||
\(603\) | −13.8695 | + | 24.0226i | −0.564808 | + | 0.978277i | ||||
\(604\) | 32.4452 | + | 56.1968i | 1.32018 | + | 2.28661i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 35.2706 | − | 61.0904i | 1.43277 | − | 2.48163i | ||||
\(607\) | 10.3914 | 0.421774 | 0.210887 | − | 0.977510i | \(-0.432365\pi\) | ||||
0.210887 | + | 0.977510i | \(0.432365\pi\) | |||||||
\(608\) | 16.7726 | + | 18.5004i | 0.680217 | + | 0.750291i | ||||
\(609\) | 30.8343 | 1.24947 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.65817 | − | 13.2643i | 0.309816 | − | 0.536617i | ||||
\(612\) | 0.839389 | + | 1.45386i | 0.0339303 | + | 0.0587690i | ||||
\(613\) | −10.8925 | + | 18.8664i | −0.439945 | + | 0.762007i | −0.997685 | − | 0.0680090i | \(-0.978335\pi\) |
0.557740 | + | 0.830016i | \(0.311669\pi\) | |||||||
\(614\) | −28.0331 | − | 48.5547i | −1.13132 | − | 1.95951i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −44.1335 | −1.77819 | ||||||||
\(617\) | −21.3855 | − | 37.0408i | −0.860948 | − | 1.49121i | −0.871015 | − | 0.491256i | \(-0.836538\pi\) |
0.0100671 | − | 0.999949i | \(-0.496795\pi\) | |||||||
\(618\) | −30.4101 | − | 52.6719i | −1.22327 | − | 2.11877i | ||||
\(619\) | 28.7882 | 1.15709 | 0.578547 | − | 0.815649i | \(-0.303620\pi\) | ||||
0.578547 | + | 0.815649i | \(0.303620\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.414120 | + | 0.717278i | 0.0166181 | + | 0.0287834i | ||||
\(622\) | −11.6586 | + | 20.1933i | −0.467468 | + | 0.809678i | ||||
\(623\) | −1.95077 | − | 3.37883i | −0.0781560 | − | 0.135370i | ||||
\(624\) | 0.396525 | − | 0.686801i | 0.0158737 | − | 0.0274940i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −73.0833 | −2.92100 | ||||||||
\(627\) | −15.0597 | + | 46.8931i | −0.601427 | + | 1.87273i | ||||
\(628\) | −12.1726 | −0.485742 | ||||||||
\(629\) | 0.869563 | − | 1.50613i | 0.0346718 | − | 0.0600532i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.69370 | + | 16.7900i | 0.385900 | + | 0.668399i | 0.991894 | − | 0.127071i | \(-0.0405576\pi\) |
−0.605993 | + | 0.795470i | \(0.707224\pi\) | |||||||
\(632\) | −14.1375 | + | 24.4868i | −0.562358 | + | 0.974032i | ||||
\(633\) | −2.54221 | − | 4.40324i | −0.101044 | − | 0.175013i | ||||
\(634\) | 5.10938 | 0.202919 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −23.1937 | − | 40.1727i | −0.919690 | − | 1.59295i | ||||
\(637\) | −13.2479 | − | 22.9461i | −0.524903 | − | 0.909158i | ||||
\(638\) | −36.1194 | −1.42998 | ||||||||
\(639\) | −53.3373 | −2.10999 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.3433 | + | 35.2356i | −0.803512 | + | 1.39172i | 0.113779 | + | 0.993506i | \(0.463704\pi\) |
−0.917291 | + | 0.398217i | \(0.869629\pi\) | |||||||
\(642\) | 6.22343 | + | 10.7793i | 0.245619 | + | 0.425425i | ||||
\(643\) | −17.0527 | + | 29.5361i | −0.672492 | + | 1.16479i | 0.304703 | + | 0.952448i | \(0.401443\pi\) |
−0.977195 | + | 0.212344i | \(0.931890\pi\) | |||||||
\(644\) | −6.54567 | + | 11.3374i | −0.257936 | + | 0.446757i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.06114 | + | 1.17045i | 0.0417499 | + | 0.0460509i | ||||
\(647\) | 48.0029 | 1.88719 | 0.943595 | − | 0.331103i | \(-0.107421\pi\) | ||||
0.943595 | + | 0.331103i | \(0.107421\pi\) | |||||||
\(648\) | −11.2570 | + | 19.4976i | −0.442216 | + | 0.765940i | ||||
\(649\) | 6.90310 | − | 11.9565i | 0.270970 | − | 0.469334i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.0457 | + | 17.3996i | −0.393721 | + | 0.681945i | ||||
\(652\) | −2.60392 | − | 4.51012i | −0.101977 | − | 0.176630i | ||||
\(653\) | −3.90866 | −0.152958 | −0.0764788 | − | 0.997071i | \(-0.524368\pi\) | ||||
−0.0764788 | + | 0.997071i | \(0.524368\pi\) | |||||||
\(654\) | −90.6325 | −3.54401 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.192244 | + | 0.332977i | 0.00750588 | + | 0.0130006i | ||||
\(657\) | 23.5171 | 0.917488 | ||||||||
\(658\) | −24.5491 | −0.957025 | ||||||||
\(659\) | −6.54411 | − | 11.3347i | −0.254922 | − | 0.441539i | 0.709952 | − | 0.704250i | \(-0.248717\pi\) |
−0.964874 | + | 0.262711i | \(0.915383\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.9714 | + | 20.7350i | 0.465633 | + | 0.806500i | 0.999230 | − | 0.0392391i | \(-0.0124934\pi\) |
−0.533597 | + | 0.845739i | \(0.679160\pi\) | |||||||
\(662\) | −11.5301 | + | 19.9707i | −0.448129 | + | 0.776182i | ||||
\(663\) | 0.994095 | − | 1.72182i | 0.0386074 | − | 0.0668700i | ||||
\(664\) | 13.5571 | 0.526119 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −82.3130 | −3.18956 | ||||||||
\(667\) | −2.03163 | + | 3.51889i | −0.0786652 | + | 0.136252i | ||||
\(668\) | 10.4598 | − | 18.1169i | 0.404701 | − | 0.700963i | ||||
\(669\) | −24.1074 | − | 41.7552i | −0.932045 | − | 1.61435i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.96837 | − | 3.40931i | −0.0759880 | − | 0.131615i | ||||
\(672\) | −50.3694 | −1.94304 | ||||||||
\(673\) | 11.3304 | 0.436754 | 0.218377 | − | 0.975865i | \(-0.429924\pi\) | ||||
0.218377 | + | 0.975865i | \(0.429924\pi\) | |||||||
\(674\) | −6.41256 | − | 11.1069i | −0.247003 | − | 0.427821i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 38.6625 | 1.48702 | ||||||||
\(677\) | −8.90466 | −0.342234 | −0.171117 | − | 0.985251i | \(-0.554738\pi\) | ||||
−0.171117 | + | 0.985251i | \(0.554738\pi\) | |||||||
\(678\) | −28.1812 | − | 48.8113i | −1.08229 | − | 1.87459i | ||||
\(679\) | −2.83983 | + | 4.91873i | −0.108983 | + | 0.188764i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.01404 | − | 8.68457i | 0.192138 | − | 0.332793i | ||||
\(682\) | 11.7675 | − | 20.3820i | 0.450603 | − | 0.780467i | ||||
\(683\) | 26.6977 | 1.02156 | 0.510780 | − | 0.859712i | \(-0.329357\pi\) | ||||
0.510780 | + | 0.859712i | \(0.329357\pi\) | |||||||
\(684\) | 14.1069 | − | 43.9263i | 0.539392 | − | 1.67957i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.81522 | − | 11.8043i | 0.260206 | − | 0.450690i | ||||
\(687\) | 16.2691 | − | 28.1789i | 0.620705 | − | 1.07509i | ||||
\(688\) | 0.105921 | + | 0.183460i | 0.00403819 | + | 0.00699435i | ||||
\(689\) | −14.3573 | + | 24.8676i | −0.546971 | + | 0.947381i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 35.9708 | 1.36840 | 0.684198 | − | 0.729297i | \(-0.260153\pi\) | ||||
0.684198 | + | 0.729297i | \(0.260153\pi\) | |||||||
\(692\) | −27.4538 | −1.04364 | ||||||||
\(693\) | −25.9628 | − | 44.9689i | −0.986245 | − | 1.70823i | ||||
\(694\) | −6.25551 | − | 10.8349i | −0.237456 | − | 0.411286i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 24.5491 | 0.930532 | ||||||||
\(697\) | 0.481960 | + | 0.834779i | 0.0182555 | + | 0.0316195i | ||||
\(698\) | −21.5035 | + | 37.2451i | −0.813918 | + | 1.40975i | ||||
\(699\) | 33.9366 | + | 58.7800i | 1.28360 | + | 2.22326i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.22543 | + | 2.12252i | −0.0462840 | + | 0.0801663i | −0.888239 | − | 0.459381i | \(-0.848071\pi\) |
0.841955 | + | 0.539547i | \(0.181405\pi\) | |||||||
\(702\) | −8.16776 | −0.308272 | ||||||||
\(703\) | −46.7159 | + | 10.0966i | −1.76192 | + | 0.380799i | ||||
\(704\) | 58.4326 | 2.20226 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.5116 | − | 25.1348i | 0.546151 | − | 0.945961i | ||||
\(707\) | 21.5913 | + | 37.3973i | 0.812026 | + | 1.40647i | ||||
\(708\) | −12.3715 | + | 21.4280i | −0.464948 | + | 0.805314i | ||||
\(709\) | 25.1440 | + | 43.5507i | 0.944304 | + | 1.63558i | 0.757139 | + | 0.653254i | \(0.226597\pi\) |
0.187165 | + | 0.982329i | \(0.440070\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −33.2671 | −1.24761 | ||||||||
\(712\) | −1.55313 | − | 2.69011i | −0.0582061 | − | 0.100816i | ||||
\(713\) | −1.32379 | − | 2.29288i | −0.0495765 | − | 0.0858690i | ||||
\(714\) | −3.18668 | −0.119259 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 16.5461 | + | 28.6587i | 0.618357 | + | 1.07103i | ||||
\(717\) | −25.1456 | + | 43.5534i | −0.939079 | + | 1.62653i | ||||
\(718\) | −12.6602 | − | 21.9281i | −0.472473 | − | 0.818348i | ||||
\(719\) | 24.0491 | − | 41.6543i | 0.896881 | − | 1.55344i | 0.0654223 | − | 0.997858i | \(-0.479161\pi\) |
0.831459 | − | 0.555586i | \(-0.187506\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 37.2319 | 1.38659 | ||||||||
\(722\) | 4.24347 | − | 43.2098i | 0.157926 | − | 1.60810i | ||||
\(723\) | −54.1123 | −2.01246 | ||||||||
\(724\) | −19.7615 | + | 34.2280i | −0.734432 | + | 1.27207i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 26.6772 | + | 46.2063i | 0.990085 | + | 1.71488i | ||||
\(727\) | −8.33983 | + | 14.4450i | −0.309307 | + | 0.535736i | −0.978211 | − | 0.207613i | \(-0.933430\pi\) |
0.668904 | + | 0.743349i | \(0.266764\pi\) | |||||||
\(728\) | −24.4804 | − | 42.4013i | −0.907304 | − | 1.57150i | ||||
\(729\) | −31.8655 | −1.18020 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.265545 | + | 0.459938i | 0.00982155 | + | 0.0170114i | ||||
\(732\) | 3.52763 | + | 6.11004i | 0.130385 | + | 0.225833i | ||||
\(733\) | 4.13365 | 0.152680 | 0.0763399 | − | 0.997082i | \(-0.475677\pi\) | ||||
0.0763399 | + | 0.997082i | \(0.475677\pi\) | |||||||
\(734\) | −47.1664 | −1.74094 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.31878 | − | 5.74829i | 0.122332 | − | 0.211885i | ||||
\(737\) | 19.0281 | + | 32.9576i | 0.700908 | + | 1.21401i | ||||
\(738\) | 22.8112 | − | 39.5102i | 0.839692 | − | 1.45439i | ||||
\(739\) | −23.4870 | + | 40.6806i | −0.863982 | + | 1.49646i | 0.00407159 | + | 0.999992i | \(0.498704\pi\) |
−0.868054 | + | 0.496470i | \(0.834629\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −53.4061 | + | 11.5425i | −1.96192 | + | 0.424025i | ||||
\(742\) | 46.0241 | 1.68960 | ||||||||
\(743\) | 20.6069 | − | 35.6923i | 0.755995 | − | 1.30942i | −0.188883 | − | 0.982000i | \(-0.560487\pi\) |
0.944878 | − | 0.327422i | \(-0.106180\pi\) | |||||||
\(744\) | −7.99800 | + | 13.8529i | −0.293221 | + | 0.507873i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.20228 | + | 9.01061i | −0.190469 | + | 0.329902i | ||||
\(747\) | 7.97539 | + | 13.8138i | 0.291804 | + | 0.505420i | ||||
\(748\) | 2.30318 | 0.0842127 | ||||||||
\(749\) | −7.61951 | −0.278411 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.98942 | − | 5.17783i | −0.109086 | − | 0.188942i | 0.806314 | − | 0.591487i | \(-0.201459\pi\) |
−0.915400 | + | 0.402545i | \(0.868126\pi\) | |||||||
\(752\) | 0.193802 | 0.00706722 | ||||||||
\(753\) | −18.2210 | −0.664010 | ||||||||
\(754\) | −20.0351 | − | 34.7018i | −0.729635 | − | 1.26376i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.03865 | + | 6.99515i | 0.146884 | + | 0.254411i | ||||
\(757\) | 18.1968 | − | 31.5178i | 0.661375 | − | 1.14553i | −0.318880 | − | 0.947795i | \(-0.603307\pi\) |
0.980255 | − | 0.197739i | \(-0.0633599\pi\) | |||||||
\(758\) | −22.7585 | + | 39.4189i | −0.826627 | + | 1.43176i | ||||
\(759\) | 13.0913 | 0.475186 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.71397 | −0.0983813 | −0.0491907 | − | 0.998789i | \(-0.515664\pi\) | ||||
−0.0491907 | + | 0.998789i | \(0.515664\pi\) | |||||||
\(762\) | −45.0029 | + | 77.9473i | −1.63028 | + | 2.82373i | ||||
\(763\) | 27.7409 | − | 48.0487i | 1.00429 | − | 1.73948i | ||||
\(764\) | −9.19983 | − | 15.9346i | −0.332838 | − | 0.576493i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.8227 | + | 39.5300i | 0.824617 | + | 1.42828i | ||||
\(767\) | 15.3163 | 0.553041 | ||||||||
\(768\) | −39.0802 | −1.41019 | ||||||||
\(769\) | −19.8995 | − | 34.4670i | −0.717596 | − | 1.24291i | −0.961950 | − | 0.273226i | \(-0.911909\pi\) |
0.244354 | − | 0.969686i | \(-0.421424\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −37.7991 | −1.36130 | ||||||||
\(772\) | 32.7298 | 1.17797 | ||||||||
\(773\) | 22.4874 | + | 38.9494i | 0.808816 | + | 1.40091i | 0.913684 | + | 0.406425i | \(0.133225\pi\) |
−0.104868 | + | 0.994486i | \(0.533442\pi\) | |||||||
\(774\) | 12.5683 | − | 21.7689i | 0.451758 | − | 0.782467i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −2.26097 | + | 3.91612i | −0.0811642 | + | 0.140580i | ||||
\(777\) | 48.2022 | − | 83.4886i | 1.72924 | − | 2.99514i |