Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.7 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | 0.586306 | + | 1.62980i | 0.338504 | + | 0.940965i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.483736 | − | 2.74340i | 0.216333 | − | 1.22689i | −0.662244 | − | 0.749288i | \(-0.730396\pi\) |
0.878578 | − | 0.477600i | \(-0.158493\pi\) | |||||||
\(6\) | 1.49675 | + | 0.871628i | 0.611046 | + | 0.355841i | ||||
\(7\) | 0.286196 | − | 2.63023i | 0.108172 | − | 0.994132i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.31249 | + | 1.91112i | −0.770830 | + | 0.637041i | ||||
\(10\) | −1.39286 | − | 2.41251i | −0.440462 | − | 0.762902i | ||||
\(11\) | −0.275449 | − | 1.56215i | −0.0830510 | − | 0.471006i | −0.997760 | − | 0.0668929i | \(-0.978691\pi\) |
0.914709 | − | 0.404113i | \(-0.132420\pi\) | |||||||
\(12\) | 1.70685 | − | 0.294387i | 0.492725 | − | 0.0849823i | ||||
\(13\) | 0.943280 | − | 5.34960i | 0.261619 | − | 1.48371i | −0.516875 | − | 0.856061i | \(-0.672905\pi\) |
0.778494 | − | 0.627652i | \(-0.215984\pi\) | |||||||
\(14\) | −1.47144 | − | 2.19883i | −0.393259 | − | 0.587663i | ||||
\(15\) | 4.75482 | − | 0.820082i | 1.22769 | − | 0.211744i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 3.17470 | + | 5.49875i | 0.769979 | + | 1.33364i | 0.937574 | + | 0.347786i | \(0.113066\pi\) |
−0.167595 | + | 0.985856i | \(0.553600\pi\) | |||||||
\(18\) | −0.543024 | + | 2.95044i | −0.127992 | + | 0.695427i | ||||
\(19\) | −3.31733 | + | 5.74579i | −0.761048 | + | 1.31817i | 0.181263 | + | 0.983435i | \(0.441981\pi\) |
−0.942311 | + | 0.334739i | \(0.891352\pi\) | |||||||
\(20\) | −2.61773 | − | 0.952774i | −0.585341 | − | 0.213047i | ||||
\(21\) | 4.45454 | − | 1.07568i | 0.972060 | − | 0.234732i | ||||
\(22\) | −1.21514 | − | 1.01962i | −0.259068 | − | 0.217384i | ||||
\(23\) | 6.11761 | + | 5.13328i | 1.27561 | + | 1.07036i | 0.993833 | + | 0.110884i | \(0.0353682\pi\) |
0.281777 | + | 0.959480i | \(0.409076\pi\) | |||||||
\(24\) | 1.11829 | − | 1.32266i | 0.228271 | − | 0.269986i | ||||
\(25\) | −2.59380 | − | 0.944067i | −0.518761 | − | 0.188813i | ||||
\(26\) | −2.71607 | − | 4.70436i | −0.532664 | − | 0.922601i | ||||
\(27\) | −4.47057 | − | 2.64839i | −0.860362 | − | 0.509683i | ||||
\(28\) | −2.54057 | − | 0.738582i | −0.480123 | − | 0.139579i | ||||
\(29\) | −0.0620252 | − | 0.351762i | −0.0115178 | − | 0.0653206i | 0.978507 | − | 0.206213i | \(-0.0661140\pi\) |
−0.990025 | + | 0.140892i | \(0.955003\pi\) | |||||||
\(30\) | 3.11526 | − | 3.68456i | 0.568766 | − | 0.672705i | ||||
\(31\) | −0.432843 | + | 2.45477i | −0.0777409 | + | 0.440891i | 0.920947 | + | 0.389687i | \(0.127417\pi\) |
−0.998688 | + | 0.0512035i | \(0.983694\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 2.38449 | − | 1.36482i | 0.415087 | − | 0.237585i | ||||
\(34\) | 5.96649 | + | 2.17162i | 1.02324 | + | 0.372431i | ||||
\(35\) | −7.07733 | − | 2.05749i | −1.19629 | − | 0.347779i | ||||
\(36\) | 1.48053 | + | 2.60922i | 0.246755 | + | 0.434870i | ||||
\(37\) | −3.96417 | −0.651705 | −0.325853 | − | 0.945421i | \(-0.605651\pi\) | ||||
−0.325853 | + | 0.945421i | \(0.605651\pi\) | |||||||
\(38\) | 1.15210 | + | 6.53387i | 0.186895 | + | 1.05993i | ||||
\(39\) | 9.27183 | − | 1.59915i | 1.48468 | − | 0.256069i | ||||
\(40\) | −2.61773 | + | 0.952774i | −0.413899 | + | 0.150647i | ||||
\(41\) | −0.0866442 | + | 0.491383i | −0.0135315 | + | 0.0767412i | −0.990826 | − | 0.135146i | \(-0.956850\pi\) |
0.977294 | + | 0.211887i | \(0.0679609\pi\) | |||||||
\(42\) | 2.72094 | − | 3.68734i | 0.419851 | − | 0.568969i | ||||
\(43\) | 9.13494 | − | 7.66513i | 1.39307 | − | 1.16892i | 0.428985 | − | 0.903312i | \(-0.358871\pi\) |
0.964081 | − | 0.265609i | \(-0.0855732\pi\) | |||||||
\(44\) | −1.58625 | −0.239136 | ||||||||
\(45\) | 4.12435 | + | 7.26857i | 0.614821 | + | 1.08354i | ||||
\(46\) | 7.98597 | 1.17747 | ||||||||
\(47\) | 1.92737 | + | 10.9307i | 0.281136 | + | 1.59440i | 0.718769 | + | 0.695249i | \(0.244706\pi\) |
−0.437633 | + | 0.899154i | \(0.644183\pi\) | |||||||
\(48\) | 0.00647654 | − | 1.73204i | 0.000934808 | − | 0.249998i | ||||
\(49\) | −6.83618 | − | 1.50552i | −0.976598 | − | 0.215074i | ||||
\(50\) | −2.59380 | + | 0.944067i | −0.366819 | + | 0.133511i | ||||
\(51\) | −7.10050 | + | 8.39808i | −0.994270 | + | 1.17597i | ||||
\(52\) | −5.10453 | − | 1.85790i | −0.707871 | − | 0.257644i | ||||
\(53\) | 3.02977 | − | 5.24771i | 0.416171 | − | 0.720829i | −0.579380 | − | 0.815058i | \(-0.696705\pi\) |
0.995551 | + | 0.0942287i | \(0.0300385\pi\) | |||||||
\(54\) | −5.12701 | + | 0.844843i | −0.697698 | + | 0.114969i | ||||
\(55\) | −4.41885 | −0.595838 | ||||||||
\(56\) | −2.42094 | + | 1.06726i | −0.323512 | + | 0.142619i | ||||
\(57\) | −11.3094 | − | 2.03779i | −1.49797 | − | 0.269912i | ||||
\(58\) | −0.273622 | − | 0.229596i | −0.0359284 | − | 0.0301475i | ||||
\(59\) | −8.96243 | + | 3.26206i | −1.16681 | + | 0.424684i | −0.851525 | − | 0.524314i | \(-0.824322\pi\) |
−0.315283 | + | 0.948998i | \(0.602100\pi\) | |||||||
\(60\) | 0.0180419 | − | 4.82499i | 0.00232919 | − | 0.622903i | ||||
\(61\) | −0.975123 | − | 5.53019i | −0.124852 | − | 0.708069i | −0.981396 | − | 0.191995i | \(-0.938504\pi\) |
0.856544 | − | 0.516074i | \(-0.172607\pi\) | |||||||
\(62\) | 1.24632 | + | 2.15869i | 0.158283 | + | 0.274154i | ||||
\(63\) | 4.36486 | + | 6.62933i | 0.549921 | + | 0.835217i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −14.2198 | − | 5.17559i | −1.76375 | − | 0.641953i | ||||
\(66\) | 0.949335 | − | 2.57824i | 0.116855 | − | 0.317359i | ||||
\(67\) | 1.75315 | + | 1.47107i | 0.214181 | + | 0.179719i | 0.743566 | − | 0.668662i | \(-0.233133\pi\) |
−0.529385 | + | 0.848382i | \(0.677577\pi\) | |||||||
\(68\) | 5.96649 | − | 2.17162i | 0.723543 | − | 0.263348i | ||||
\(69\) | −4.77943 | + | 12.9802i | −0.575376 | + | 1.56263i | ||||
\(70\) | −6.74408 | + | 2.97310i | −0.806071 | + | 0.355353i | ||||
\(71\) | 0.0982486 | − | 0.170172i | 0.0116600 | − | 0.0201956i | −0.860137 | − | 0.510064i | \(-0.829622\pi\) |
0.871797 | + | 0.489868i | \(0.162955\pi\) | |||||||
\(72\) | 2.81133 | + | 1.04711i | 0.331318 | + | 0.123404i | ||||
\(73\) | −6.65444 | −0.778843 | −0.389421 | − | 0.921060i | \(-0.627325\pi\) | ||||
−0.389421 | + | 0.921060i | \(0.627325\pi\) | |||||||
\(74\) | −3.03673 | + | 2.54812i | −0.353013 | + | 0.296213i | ||||
\(75\) | 0.0178770 | − | 4.78089i | 0.00206426 | − | 0.552050i | ||||
\(76\) | 5.08245 | + | 4.26468i | 0.582996 | + | 0.489192i | ||||
\(77\) | −4.18764 | + | 0.277413i | −0.477226 | + | 0.0316142i | ||||
\(78\) | 6.07472 | − | 7.18484i | 0.687827 | − | 0.813523i | ||||
\(79\) | 1.98128 | − | 1.66249i | 0.222911 | − | 0.187045i | −0.524492 | − | 0.851415i | \(-0.675745\pi\) |
0.747403 | + | 0.664371i | \(0.231300\pi\) | |||||||
\(80\) | −1.39286 | + | 2.41251i | −0.155727 | + | 0.269727i | ||||
\(81\) | 1.69522 | − | 8.83890i | 0.188358 | − | 0.982100i | ||||
\(82\) | 0.249482 | + | 0.432115i | 0.0275507 | + | 0.0477192i | ||||
\(83\) | 3.07726 | + | 17.4520i | 0.337773 | + | 1.91561i | 0.397928 | + | 0.917417i | \(0.369729\pi\) |
−0.0601547 | + | 0.998189i | \(0.519159\pi\) | |||||||
\(84\) | −0.285812 | − | 4.57365i | −0.0311847 | − | 0.499027i | ||||
\(85\) | 16.6210 | − | 6.04955i | 1.80280 | − | 0.656166i | ||||
\(86\) | 2.07072 | − | 11.7437i | 0.223292 | − | 1.26635i | ||||
\(87\) | 0.536936 | − | 0.307329i | 0.0575656 | − | 0.0329491i | ||||
\(88\) | −1.21514 | + | 1.01962i | −0.129534 | + | 0.108692i | ||||
\(89\) | 0.662790 | − | 1.14799i | 0.0702556 | − | 0.121686i | −0.828758 | − | 0.559608i | \(-0.810952\pi\) |
0.899013 | + | 0.437921i | \(0.144285\pi\) | |||||||
\(90\) | 7.83158 | + | 2.91697i | 0.825521 | + | 0.307476i | ||||
\(91\) | −13.8007 | − | 4.01207i | −1.44671 | − | 0.420579i | ||||
\(92\) | 6.11761 | − | 5.13328i | 0.637805 | − | 0.535182i | ||||
\(93\) | −4.25457 | + | 0.733802i | −0.441178 | + | 0.0760918i | ||||
\(94\) | 8.50255 | + | 7.13449i | 0.876971 | + | 0.735866i | ||||
\(95\) | 14.1583 | + | 11.8802i | 1.45261 | + | 1.21889i | ||||
\(96\) | −1.10837 | − | 1.33098i | −0.113123 | − | 0.135843i | ||||
\(97\) | −6.75544 | + | 5.66849i | −0.685911 | + | 0.575548i | −0.917727 | − | 0.397212i | \(-0.869978\pi\) |
0.231816 | + | 0.972760i | \(0.425533\pi\) | |||||||
\(98\) | −6.20455 | + | 3.24092i | −0.626754 | + | 0.327382i | ||||
\(99\) | 3.62243 | + | 3.08604i | 0.364068 | + | 0.310159i | ||||
\(100\) | −1.38013 | + | 2.39046i | −0.138013 | + | 0.239046i | ||||
\(101\) | −6.28632 | + | 5.27485i | −0.625512 | + | 0.524867i | −0.899531 | − | 0.436857i | \(-0.856091\pi\) |
0.274019 | + | 0.961724i | \(0.411647\pi\) | |||||||
\(102\) | −0.0411222 | + | 10.9974i | −0.00407170 | + | 1.08891i | ||||
\(103\) | 1.40680 | − | 7.97834i | 0.138616 | − | 0.786129i | −0.833657 | − | 0.552282i | \(-0.813757\pi\) |
0.972273 | − | 0.233847i | \(-0.0751316\pi\) | |||||||
\(104\) | −5.10453 | + | 1.85790i | −0.500541 | + | 0.182182i | ||||
\(105\) | −0.796195 | − | 12.7409i | −0.0777006 | − | 1.24339i | ||||
\(106\) | −1.05223 | − | 5.96748i | −0.102201 | − | 0.579613i | ||||
\(107\) | 0.811790 | + | 1.40606i | 0.0784787 | + | 0.135929i | 0.902594 | − | 0.430493i | \(-0.141660\pi\) |
−0.824115 | + | 0.566422i | \(0.808327\pi\) | |||||||
\(108\) | −3.38446 | + | 3.94277i | −0.325670 | + | 0.379393i | ||||
\(109\) | −4.63410 | + | 8.02650i | −0.443866 | + | 0.768799i | −0.997972 | − | 0.0636468i | \(-0.979727\pi\) |
0.554106 | + | 0.832446i | \(0.313060\pi\) | |||||||
\(110\) | −3.38504 | + | 2.84038i | −0.322751 | + | 0.270820i | ||||
\(111\) | −2.32422 | − | 6.46080i | −0.220605 | − | 0.613232i | ||||
\(112\) | −1.16853 | + | 2.37372i | −0.110415 | + | 0.224295i | ||||
\(113\) | 1.67323 | + | 1.40401i | 0.157404 | + | 0.132078i | 0.718088 | − | 0.695952i | \(-0.245017\pi\) |
−0.560684 | + | 0.828030i | \(0.689462\pi\) | |||||||
\(114\) | −9.97341 | + | 5.70853i | −0.934095 | + | 0.534653i | ||||
\(115\) | 17.0420 | − | 14.2999i | 1.58917 | − | 1.33347i | ||||
\(116\) | −0.357189 | −0.0331641 | ||||||||
\(117\) | 8.04242 | + | 14.1736i | 0.743522 | + | 1.31035i | ||||
\(118\) | −4.76881 | + | 8.25982i | −0.439004 | + | 0.760378i | ||||
\(119\) | 15.3715 | − | 6.77647i | 1.40911 | − | 0.621198i | ||||
\(120\) | −3.08762 | − | 3.70775i | −0.281860 | − | 0.338470i | ||||
\(121\) | 7.97218 | − | 2.90164i | 0.724744 | − | 0.263785i | ||||
\(122\) | −4.30173 | − | 3.60958i | −0.389460 | − | 0.326796i | ||||
\(123\) | −0.851656 | + | 0.146889i | −0.0767913 | + | 0.0132445i | ||||
\(124\) | 2.34232 | + | 0.852534i | 0.210346 | + | 0.0765598i | ||||
\(125\) | 3.11964 | − | 5.40337i | 0.279029 | − | 0.483292i | ||||
\(126\) | 7.60493 | + | 2.27268i | 0.677501 | + | 0.202467i | ||||
\(127\) | −6.62007 | − | 11.4663i | −0.587436 | − | 1.01747i | −0.994567 | − | 0.104100i | \(-0.966804\pi\) |
0.407131 | − | 0.913370i | \(-0.366529\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 17.8485 | + | 10.3940i | 1.57147 | + | 0.915142i | ||||
\(130\) | −14.2198 | + | 5.17559i | −1.24716 | + | 0.453930i | ||||
\(131\) | 1.41329 | + | 1.18589i | 0.123480 | + | 0.103612i | 0.702436 | − | 0.711747i | \(-0.252096\pi\) |
−0.578957 | + | 0.815358i | \(0.696540\pi\) | |||||||
\(132\) | −0.930027 | − | 2.58527i | −0.0809485 | − | 0.225019i | ||||
\(133\) | 14.1633 | + | 10.3697i | 1.22811 | + | 0.899171i | ||||
\(134\) | 2.28857 | 0.197703 | ||||||||
\(135\) | −9.42819 | + | 10.9835i | −0.811449 | + | 0.945306i | ||||
\(136\) | 3.17470 | − | 5.49875i | 0.272229 | − | 0.471514i | ||||
\(137\) | −5.42356 | − | 1.97402i | −0.463366 | − | 0.168652i | 0.0997787 | − | 0.995010i | \(-0.468187\pi\) |
−0.563145 | + | 0.826358i | \(0.690409\pi\) | |||||||
\(138\) | 4.68223 | + | 13.0155i | 0.398578 | + | 1.10796i | ||||
\(139\) | 17.9535 | − | 6.53454i | 1.52280 | − | 0.554252i | 0.560951 | − | 0.827849i | \(-0.310436\pi\) |
0.961845 | + | 0.273597i | \(0.0882133\pi\) | |||||||
\(140\) | −3.25519 | + | 6.61253i | −0.275114 | + | 0.558861i | ||||
\(141\) | −16.6848 | + | 9.54995i | −1.40511 | + | 0.804251i | ||||
\(142\) | −0.0341214 | − | 0.193512i | −0.00286340 | − | 0.0162392i | ||||
\(143\) | −8.61671 | −0.720565 | ||||||||
\(144\) | 2.82667 | − | 1.00495i | 0.235556 | − | 0.0837458i | ||||
\(145\) | −0.995030 | −0.0826327 | ||||||||
\(146\) | −5.09759 | + | 4.27739i | −0.421880 | + | 0.353999i | ||||
\(147\) | −1.55440 | − | 12.0243i | −0.128205 | − | 0.991748i | ||||
\(148\) | −0.688371 | + | 3.90394i | −0.0565837 | + | 0.320902i | ||||
\(149\) | 5.77529 | − | 2.10203i | 0.473130 | − | 0.172205i | −0.0944398 | − | 0.995531i | \(-0.530106\pi\) |
0.567570 | + | 0.823325i | \(0.307884\pi\) | |||||||
\(150\) | −3.05940 | − | 3.67387i | −0.249799 | − | 0.299970i | ||||
\(151\) | 0.581997 | + | 3.30067i | 0.0473623 | + | 0.268605i | 0.999288 | − | 0.0377235i | \(-0.0120106\pi\) |
−0.951926 | + | 0.306328i | \(0.900899\pi\) | |||||||
\(152\) | 6.63466 | 0.538142 | ||||||||
\(153\) | −17.8502 | − | 6.64855i | −1.44311 | − | 0.537504i | ||||
\(154\) | −3.02960 | + | 2.90427i | −0.244132 | + | 0.234033i | ||||
\(155\) | 6.52506 | + | 2.37493i | 0.524105 | + | 0.190759i | ||||
\(156\) | 0.0351814 | − | 9.40866i | 0.00281677 | − | 0.753296i | ||||
\(157\) | −7.01902 | + | 2.55471i | −0.560178 | + | 0.203888i | −0.606563 | − | 0.795035i | \(-0.707452\pi\) |
0.0463846 | + | 0.998924i | \(0.485230\pi\) | |||||||
\(158\) | 0.449119 | − | 2.54708i | 0.0357300 | − | 0.202635i | ||||
\(159\) | 10.3291 | + | 1.86115i | 0.819150 | + | 0.147599i | ||||
\(160\) | 0.483736 | + | 2.74340i | 0.0382427 | + | 0.216885i | ||||
\(161\) | 15.2525 | − | 14.6216i | 1.20207 | − | 1.15234i | ||||
\(162\) | −4.38292 | − | 7.86066i | −0.344355 | − | 0.617592i | ||||
\(163\) | 0.283776 | + | 0.491514i | 0.0222271 | + | 0.0384984i | 0.876925 | − | 0.480627i | \(-0.159591\pi\) |
−0.854698 | + | 0.519126i | \(0.826258\pi\) | |||||||
\(164\) | 0.468873 | + | 0.170656i | 0.0366128 | + | 0.0133260i | ||||
\(165\) | −2.59080 | − | 7.20184i | −0.201694 | − | 0.560663i | ||||
\(166\) | 13.5752 | + | 11.3910i | 1.05364 | + | 0.884112i | ||||
\(167\) | −8.03215 | − | 6.73978i | −0.621547 | − | 0.521540i | 0.276743 | − | 0.960944i | \(-0.410745\pi\) |
−0.898289 | + | 0.439404i | \(0.855190\pi\) | |||||||
\(168\) | −3.15883 | − | 3.31991i | −0.243709 | − | 0.256136i | ||||
\(169\) | −15.5125 | − | 5.64608i | −1.19327 | − | 0.434314i | ||||
\(170\) | 8.84385 | − | 15.3180i | 0.678292 | − | 1.17484i | ||||
\(171\) | −3.30961 | − | 19.6269i | −0.253092 | − | 1.50091i | ||||
\(172\) | −5.96241 | − | 10.3272i | −0.454630 | − | 0.787442i | ||||
\(173\) | −1.30516 | − | 0.475039i | −0.0992294 | − | 0.0361165i | 0.291928 | − | 0.956440i | \(-0.405703\pi\) |
−0.391158 | + | 0.920324i | \(0.627925\pi\) | |||||||
\(174\) | 0.213770 | − | 0.580563i | 0.0162058 | − | 0.0440124i | ||||
\(175\) | −3.22545 | + | 6.55210i | −0.243821 | + | 0.495293i | ||||
\(176\) | −0.275449 | + | 1.56215i | −0.0207628 | + | 0.117751i | ||||
\(177\) | −10.5712 | − | 12.6944i | −0.794582 | − | 0.954169i | ||||
\(178\) | −0.230185 | − | 1.30544i | −0.0172531 | − | 0.0978470i | ||||
\(179\) | −3.70163 | − | 6.41141i | −0.276673 | − | 0.479211i | 0.693883 | − | 0.720088i | \(-0.255898\pi\) |
−0.970556 | + | 0.240877i | \(0.922565\pi\) | |||||||
\(180\) | 7.87433 | − | 2.79951i | 0.586918 | − | 0.208663i | ||||
\(181\) | −6.70877 | − | 11.6199i | −0.498659 | − | 0.863702i | 0.501340 | − | 0.865250i | \(-0.332841\pi\) |
−0.999999 | + | 0.00154822i | \(0.999507\pi\) | |||||||
\(182\) | −13.1509 | + | 5.79750i | −0.974807 | + | 0.429739i | ||||
\(183\) | 8.44139 | − | 4.83164i | 0.624005 | − | 0.357165i | ||||
\(184\) | 1.38675 | − | 7.86465i | 0.102233 | − | 0.579790i | ||||
\(185\) | −1.91761 | + | 10.8753i | −0.140986 | + | 0.799569i | ||||
\(186\) | −2.78751 | + | 3.29691i | −0.204390 | + | 0.241741i | ||||
\(187\) | 7.71540 | − | 6.47399i | 0.564206 | − | 0.473425i | ||||
\(188\) | 11.0993 | 0.809499 | ||||||||
\(189\) | −8.24533 | + | 11.0007i | −0.599759 | + | 0.800180i | ||||
\(190\) | 18.4823 | 1.34085 | ||||||||
\(191\) | −3.29563 | + | 2.76537i | −0.238464 | + | 0.200095i | −0.754186 | − | 0.656661i | \(-0.771968\pi\) |
0.515722 | + | 0.856756i | \(0.327524\pi\) | |||||||
\(192\) | −1.70460 | − | 0.307144i | −0.123019 | − | 0.0221662i | ||||
\(193\) | −3.34878 | + | 18.9919i | −0.241050 | + | 1.36706i | 0.588439 | + | 0.808541i | \(0.299743\pi\) |
−0.829490 | + | 0.558522i | \(0.811369\pi\) | |||||||
\(194\) | −1.53133 | + | 8.68462i | −0.109943 | + | 0.623520i | ||||
\(195\) | 0.0980057 | − | 26.2099i | 0.00701834 | − | 1.87693i | ||||
\(196\) | −2.66974 | + | 6.47090i | −0.190696 | + | 0.462207i | ||||
\(197\) | −6.79535 | − | 11.7699i | −0.484149 | − | 0.838570i | 0.515686 | − | 0.856778i | \(-0.327537\pi\) |
−0.999834 | + | 0.0182080i | \(0.994204\pi\) | |||||||
\(198\) | 4.75861 | + | 0.0355878i | 0.338180 | + | 0.00252912i | ||||
\(199\) | 4.28539 | + | 7.42251i | 0.303783 | + | 0.526168i | 0.976990 | − | 0.213287i | \(-0.0684169\pi\) |
−0.673207 | + | 0.739454i | \(0.735084\pi\) | |||||||
\(200\) | 0.479316 | + | 2.71833i | 0.0338927 | + | 0.192215i | ||||
\(201\) | −1.36966 | + | 3.71978i | −0.0966084 | + | 0.262373i | ||||
\(202\) | −1.42499 | + | 8.08154i | −0.100262 | + | 0.568615i | ||||
\(203\) | −0.942966 | + | 0.0624675i | −0.0661832 | + | 0.00438436i | ||||
\(204\) | 7.03750 | + | 8.45094i | 0.492724 | + | 0.591684i | ||||
\(205\) | 1.30615 | + | 0.475400i | 0.0912255 | + | 0.0332034i | ||||
\(206\) | −4.05071 | − | 7.01603i | −0.282226 | − | 0.488830i | ||||
\(207\) | −23.9573 | − | 0.179167i | −1.66514 | − | 0.0124530i | ||||
\(208\) | −2.71607 | + | 4.70436i | −0.188325 | + | 0.326189i | ||||
\(209\) | 9.88953 | + | 3.59950i | 0.684073 | + | 0.248982i | ||||
\(210\) | −8.79964 | − | 9.24835i | −0.607233 | − | 0.638197i | ||||
\(211\) | 0.423929 | + | 0.355718i | 0.0291844 | + | 0.0244887i | 0.657263 | − | 0.753661i | \(-0.271714\pi\) |
−0.628079 | + | 0.778150i | \(0.716158\pi\) | |||||||
\(212\) | −4.64188 | − | 3.89500i | −0.318805 | − | 0.267509i | ||||
\(213\) | 0.334949 | + | 0.0603528i | 0.0229503 | + | 0.00413531i | ||||
\(214\) | 1.52567 | + | 0.555297i | 0.104292 | + | 0.0379593i | ||||
\(215\) | −16.6096 | − | 28.7687i | −1.13277 | − | 1.96201i | ||||
\(216\) | −0.0582878 | + | 5.19583i | −0.00396598 | + | 0.353531i | ||||
\(217\) | 6.33274 | + | 1.84102i | 0.429894 | + | 0.124977i | ||||
\(218\) | 1.60941 | + | 9.12740i | 0.109003 | + | 0.618185i | ||||
\(219\) | −3.90154 | − | 10.8454i | −0.263641 | − | 0.732864i | ||||
\(220\) | −0.767326 | + | 4.35172i | −0.0517331 | + | 0.293393i | ||||
\(221\) | 32.4107 | − | 11.7965i | 2.18018 | − | 0.793522i | ||||
\(222\) | −5.93337 | − | 3.45528i | −0.398222 | − | 0.231903i | ||||
\(223\) | −12.9524 | − | 4.71428i | −0.867355 | − | 0.315691i | −0.130259 | − | 0.991480i | \(-0.541581\pi\) |
−0.737096 | + | 0.675789i | \(0.763803\pi\) | |||||||
\(224\) | 0.630655 | + | 2.56949i | 0.0421374 | + | 0.171681i | ||||
\(225\) | 7.80237 | − | 2.77393i | 0.520158 | − | 0.184929i | ||||
\(226\) | 2.18425 | 0.145294 | ||||||||
\(227\) | −2.49048 | − | 14.1242i | −0.165299 | − | 0.937457i | −0.948756 | − | 0.316010i | \(-0.897657\pi\) |
0.783457 | − | 0.621446i | \(-0.213455\pi\) | |||||||
\(228\) | −3.97070 | + | 10.7838i | −0.262966 | + | 0.714173i | ||||
\(229\) | −15.6032 | + | 5.67911i | −1.03109 | + | 0.375286i | −0.801496 | − | 0.598001i | \(-0.795962\pi\) |
−0.229594 | + | 0.973286i | \(0.573740\pi\) | |||||||
\(230\) | 3.86310 | − | 21.9088i | 0.254726 | − | 1.44462i | ||||
\(231\) | −2.90737 | − | 6.66236i | −0.191291 | − | 0.438351i | ||||
\(232\) | −0.273622 | + | 0.229596i | −0.0179642 | + | 0.0150737i | ||||
\(233\) | −10.9925 | −0.720144 | −0.360072 | − | 0.932924i | \(-0.617248\pi\) | ||||
−0.360072 | + | 0.932924i | \(0.617248\pi\) | |||||||
\(234\) | 15.2715 | + | 5.68806i | 0.998328 | + | 0.371840i | ||||
\(235\) | 30.9196 | 2.01697 | ||||||||
\(236\) | 1.65619 | + | 9.39272i | 0.107809 | + | 0.611414i | ||||
\(237\) | 3.87116 | + | 2.25436i | 0.251459 | + | 0.146436i | ||||
\(238\) | 7.41945 | − | 15.0717i | 0.480931 | − | 0.976954i | ||||
\(239\) | 7.37903 | − | 2.68575i | 0.477310 | − | 0.173727i | −0.0921511 | − | 0.995745i | \(-0.529374\pi\) |
0.569461 | + | 0.822019i | \(0.307152\pi\) | |||||||
\(240\) | −4.74855 | − | 0.855618i | −0.306518 | − | 0.0552299i | ||||
\(241\) | 6.78791 | + | 2.47060i | 0.437248 | + | 0.159145i | 0.551259 | − | 0.834334i | \(-0.314148\pi\) |
−0.114011 | + | 0.993479i | \(0.536370\pi\) | |||||||
\(242\) | 4.24191 | − | 7.34720i | 0.272680 | − | 0.472296i | ||||
\(243\) | 15.3996 | − | 2.41943i | 0.987882 | − | 0.155207i | ||||
\(244\) | −5.61551 | −0.359496 | ||||||||
\(245\) | −7.43716 | + | 18.0261i | −0.475142 | + | 1.15165i | ||||
\(246\) | −0.557988 | + | 0.659957i | −0.0355760 | + | 0.0420773i | ||||
\(247\) | 27.6085 | + | 23.1663i | 1.75669 | + | 1.47404i | ||||
\(248\) | 2.34232 | − | 0.852534i | 0.148737 | − | 0.0541360i | ||||
\(249\) | −26.6390 | + | 15.2475i | −1.68818 | + | 0.966273i | ||||
\(250\) | −1.08344 | − | 6.14449i | −0.0685227 | − | 0.388612i | ||||
\(251\) | 13.8030 | + | 23.9075i | 0.871237 | + | 1.50903i | 0.860718 | + | 0.509081i | \(0.170015\pi\) |
0.0105180 | + | 0.999945i | \(0.496652\pi\) | |||||||
\(252\) | 7.28656 | − | 3.14738i | 0.459010 | − | 0.198266i | ||||
\(253\) | 6.33387 | − | 10.9706i | 0.398207 | − | 0.689715i | ||||
\(254\) | −12.4417 | − | 4.52840i | −0.780659 | − | 0.284137i | ||||
\(255\) | 19.6046 | + | 23.5420i | 1.22768 | + | 1.47426i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 8.46330 | − | 3.08039i | 0.527926 | − | 0.192149i | −0.0642860 | − | 0.997932i | \(-0.520477\pi\) |
0.592212 | + | 0.805782i | \(0.298255\pi\) | |||||||
\(258\) | 20.3539 | − | 3.51052i | 1.26718 | − | 0.218555i | ||||
\(259\) | −1.13453 | + | 10.4267i | −0.0704961 | + | 0.647881i | ||||
\(260\) | −7.56621 | + | 13.1051i | −0.469237 | + | 0.812742i | ||||
\(261\) | 0.815693 | + | 0.694909i | 0.0504901 | + | 0.0430138i | ||||
\(262\) | 1.84492 | 0.113979 | ||||||||
\(263\) | −0.816348 | + | 0.684998i | −0.0503382 | + | 0.0422388i | −0.667610 | − | 0.744511i | \(-0.732682\pi\) |
0.617271 | + | 0.786750i | \(0.288238\pi\) | |||||||
\(264\) | −2.37422 | − | 1.38262i | −0.146123 | − | 0.0850943i | ||||
\(265\) | −12.9310 | − | 10.8504i | −0.794345 | − | 0.666534i | ||||
\(266\) | 17.5153 | − | 1.16031i | 1.07393 | − | 0.0711433i | ||||
\(267\) | 2.25958 | + | 0.407143i | 0.138284 | + | 0.0249168i | ||||
\(268\) | 1.75315 | − | 1.47107i | 0.107091 | − | 0.0898597i | ||||
\(269\) | −5.72064 | + | 9.90845i | −0.348794 | + | 0.604129i | −0.986035 | − | 0.166535i | \(-0.946742\pi\) |
0.637242 | + | 0.770664i | \(0.280075\pi\) | |||||||
\(270\) | −0.162374 | + | 14.4741i | −0.00988175 | + | 0.880868i | ||||
\(271\) | 0.632743 | + | 1.09594i | 0.0384364 | + | 0.0665738i | 0.884604 | − | 0.466344i | \(-0.154429\pi\) |
−0.846167 | + | 0.532917i | \(0.821096\pi\) | |||||||
\(272\) | −1.10256 | − | 6.25294i | −0.0668527 | − | 0.379140i | ||||
\(273\) | −1.55257 | − | 24.8447i | −0.0939658 | − | 1.50367i | ||||
\(274\) | −5.42356 | + | 1.97402i | −0.327649 | + | 0.119255i | ||||
\(275\) | −0.760314 | + | 4.31195i | −0.0458486 | + | 0.260021i | ||||
\(276\) | 11.9530 | + | 6.96080i | 0.719487 | + | 0.418991i | ||||
\(277\) | −2.03688 | + | 1.70914i | −0.122384 | + | 0.102692i | −0.701926 | − | 0.712250i | \(-0.747676\pi\) |
0.579542 | + | 0.814943i | \(0.303232\pi\) | |||||||
\(278\) | 9.55286 | − | 16.5460i | 0.572942 | − | 0.992365i | ||||
\(279\) | −3.69043 | − | 6.50386i | −0.220940 | − | 0.389376i | ||||
\(280\) | 1.75683 | + | 7.15789i | 0.104991 | + | 0.427766i | ||||
\(281\) | 15.1420 | − | 12.7057i | 0.903297 | − | 0.757956i | −0.0675354 | − | 0.997717i | \(-0.521514\pi\) |
0.970832 | + | 0.239761i | \(0.0770691\pi\) | |||||||
\(282\) | −6.64268 | + | 18.0404i | −0.395566 | + | 1.07429i | ||||
\(283\) | −9.77769 | − | 8.20445i | −0.581223 | − | 0.487704i | 0.304125 | − | 0.952632i | \(-0.401636\pi\) |
−0.885349 | + | 0.464928i | \(0.846080\pi\) | |||||||
\(284\) | −0.150526 | − | 0.126306i | −0.00893205 | − | 0.00749488i | ||||
\(285\) | −11.0613 | + | 30.0406i | −0.655214 | + | 1.77945i | ||||
\(286\) | −6.60078 | + | 5.53871i | −0.390312 | + | 0.327511i | ||||
\(287\) | 1.26765 | + | 0.368526i | 0.0748272 | + | 0.0217534i | ||||
\(288\) | 1.51939 | − | 2.58679i | 0.0895308 | − | 0.152428i | ||||
\(289\) | −11.6575 | + | 20.1913i | −0.685734 | + | 1.18773i | ||||
\(290\) | −0.762237 | + | 0.639593i | −0.0447601 | + | 0.0375582i | ||||
\(291\) | −13.1992 | − | 7.68654i | −0.773754 | − | 0.450593i | ||||
\(292\) | −1.15553 | + | 6.55334i | −0.0676223 | + | 0.383505i | ||||
\(293\) | 20.1819 | − | 7.34561i | 1.17904 | − | 0.429135i | 0.323177 | − | 0.946339i | \(-0.395249\pi\) |
0.855863 | + | 0.517203i | \(0.173027\pi\) | |||||||
\(294\) | −8.91982 | − | 8.21200i | −0.520214 | − | 0.478933i | ||||
\(295\) | 4.61369 | + | 26.1655i | 0.268619 | + | 1.52342i | ||||
\(296\) | 1.98208 | + | 3.43307i | 0.115206 | + | 0.199543i | ||||
\(297\) | −2.90577 | + | 7.71320i | −0.168610 | + | 0.447565i | ||||
\(298\) | 3.07297 | − | 5.32253i | 0.178012 | − | 0.308326i | ||||
\(299\) | 33.2317 | − | 27.8847i | 1.92184 | − | 1.61261i | ||||
\(300\) | −4.70516 | − | 0.847799i | −0.271652 | − | 0.0489477i | ||||
\(301\) | −17.5466 | − | 26.2207i | −1.01137 | − | 1.51134i | ||||
\(302\) | 2.56747 | + | 2.15436i | 0.147741 | + | 0.123969i | ||||
\(303\) | −12.2826 | − | 7.15276i | −0.705620 | − | 0.410915i | ||||
\(304\) | 5.08245 | − | 4.26468i | 0.291498 | − | 0.244596i | ||||
\(305\) | −15.6433 | −0.895731 | ||||||||
\(306\) | −17.9477 | + | 6.38083i | −1.02600 | + | 0.364768i | ||||
\(307\) | −17.0932 | + | 29.6062i | −0.975558 | + | 1.68972i | −0.297477 | + | 0.954729i | \(0.596145\pi\) |
−0.678081 | + | 0.734987i | \(0.737188\pi\) | |||||||
\(308\) | −0.453977 | + | 4.17219i | −0.0258678 | + | 0.237733i | ||||
\(309\) | 13.8279 | − | 2.38495i | 0.786642 | − | 0.135675i | ||||
\(310\) | 6.52506 | − | 2.37493i | 0.370598 | − | 0.134887i | ||||
\(311\) | 6.66513 | + | 5.59271i | 0.377945 | + | 0.317133i | 0.811895 | − | 0.583804i | \(-0.198436\pi\) |
−0.433950 | + | 0.900937i | \(0.642881\pi\) | |||||||
\(312\) | −6.02082 | − | 7.23007i | −0.340862 | − | 0.409322i | ||||
\(313\) | −11.8442 | − | 4.31095i | −0.669476 | − | 0.243669i | −0.0151536 | − | 0.999885i | \(-0.504824\pi\) |
−0.654322 | + | 0.756216i | \(0.727046\pi\) | |||||||
\(314\) | −3.73474 | + | 6.46876i | −0.210764 | + | 0.365053i | ||||
\(315\) | 20.2984 | − | 8.76773i | 1.14368 | − | 0.494006i | ||||
\(316\) | −1.29319 | − | 2.23987i | −0.0727474 | − | 0.126002i | ||||
\(317\) | −3.15383 | − | 17.8863i | −0.177137 | − | 1.00459i | −0.935649 | − | 0.352933i | \(-0.885184\pi\) |
0.758512 | − | 0.651659i | \(-0.225927\pi\) | |||||||
\(318\) | 9.10887 | − | 5.21369i | 0.510800 | − | 0.292369i | ||||
\(319\) | −0.532420 | + | 0.193785i | −0.0298098 | + | 0.0108499i | ||||
\(320\) | 2.13399 | + | 1.79063i | 0.119294 | + | 0.100099i | ||||
\(321\) | −1.81564 | + | 2.14744i | −0.101339 | + | 0.119858i | ||||
\(322\) | 2.28555 | − | 21.0049i | 0.127369 | − | 1.17056i | ||||
\(323\) | −42.1262 | −2.34396 | ||||||||
\(324\) | −8.41025 | − | 3.20433i | −0.467236 | − | 0.178018i | ||||
\(325\) | −7.49707 | + | 12.9853i | −0.415863 | + | 0.720295i | ||||
\(326\) | 0.533324 | + | 0.194114i | 0.0295381 | + | 0.0107510i | ||||
\(327\) | −15.7986 | − | 2.84667i | −0.873664 | − | 0.157421i | ||||
\(328\) | 0.468873 | − | 0.170656i | 0.0258892 | − | 0.00942288i | ||||
\(329\) | 29.3017 | − | 1.94112i | 1.61546 | − | 0.107017i | ||||
\(330\) | −6.61392 | − | 3.85160i | −0.364085 | − | 0.212023i | ||||
\(331\) | 3.97953 | + | 22.5690i | 0.218735 | + | 1.24051i | 0.874307 | + | 0.485373i | \(0.161316\pi\) |
−0.655573 | + | 0.755132i | \(0.727573\pi\) | |||||||
\(332\) | 17.7212 | 0.972579 | ||||||||
\(333\) | 9.16710 | − | 7.57601i | 0.502354 | − | 0.415163i | ||||
\(334\) | −10.4852 | −0.573726 | ||||||||
\(335\) | 4.88379 | − | 4.09799i | 0.266830 | − | 0.223897i | ||||
\(336\) | −4.55380 | − | 0.512737i | −0.248430 | − | 0.0279721i | ||||
\(337\) | −5.11480 | + | 29.0075i | −0.278621 | + | 1.58014i | 0.448599 | + | 0.893733i | \(0.351923\pi\) |
−0.727220 | + | 0.686404i | \(0.759188\pi\) | |||||||
\(338\) | −15.5125 | + | 5.64608i | −0.843768 | + | 0.307106i | ||||
\(339\) | −1.30722 | + | 3.55021i | −0.0709987 | + | 0.192821i | ||||
\(340\) | −3.07144 | − | 17.4190i | −0.166572 | − | 0.944677i | ||||
\(341\) | 3.95395 | 0.214118 | ||||||||
\(342\) | −15.1512 | − | 12.9077i | −0.819285 | − | 0.697969i | ||||
\(343\) | −5.91634 | + | 17.5498i | −0.319452 | + | 0.947602i | ||||
\(344\) | −11.2057 | − | 4.07853i | −0.604169 | − | 0.219900i | ||||
\(345\) | 33.2978 | + | 19.3909i | 1.79269 | + | 1.04397i | ||||
\(346\) | −1.30516 | + | 0.475039i | −0.0701658 | + | 0.0255383i | ||||
\(347\) | 0.103428 | − | 0.586568i | 0.00555230 | − | 0.0314886i | −0.981906 | − | 0.189370i | \(-0.939355\pi\) |
0.987458 | + | 0.157882i | \(0.0504665\pi\) | |||||||
\(348\) | −0.209422 | − | 0.582146i | −0.0112262 | − | 0.0312063i | ||||
\(349\) | −2.79952 | − | 15.8769i | −0.149855 | − | 0.849870i | −0.963340 | − | 0.268284i | \(-0.913544\pi\) |
0.813485 | − | 0.581586i | \(-0.197568\pi\) | |||||||
\(350\) | 1.74078 | + | 7.09248i | 0.0930484 | + | 0.379109i | ||||
\(351\) | −18.3848 | + | 21.4176i | −0.981310 | + | 1.14319i | ||||
\(352\) | 0.793124 | + | 1.37373i | 0.0422737 | + | 0.0732201i | ||||
\(353\) | −8.94675 | − | 3.25635i | −0.476187 | − | 0.173318i | 0.0927658 | − | 0.995688i | \(-0.470429\pi\) |
−0.568953 | + | 0.822370i | \(0.692651\pi\) | |||||||
\(354\) | −16.2578 | − | 2.92942i | −0.864094 | − | 0.155697i | ||||
\(355\) | −0.419323 | − | 0.351854i | −0.0222553 | − | 0.0186745i | ||||
\(356\) | −1.01545 | − | 0.852066i | −0.0538189 | − | 0.0451594i | ||||
\(357\) | 20.0567 | + | 21.0794i | 1.06151 | + | 1.11564i | ||||
\(358\) | −6.95678 | − | 2.53206i | −0.367677 | − | 0.133824i | ||||
\(359\) | −2.99162 | + | 5.18165i | −0.157892 | + | 0.273477i | −0.934108 | − | 0.356990i | \(-0.883803\pi\) |
0.776216 | + | 0.630467i | \(0.217136\pi\) | |||||||
\(360\) | 4.23260 | − | 7.20608i | 0.223077 | − | 0.379794i | ||||
\(361\) | −12.5094 | − | 21.6669i | −0.658388 | − | 1.14036i | ||||
\(362\) | −12.6084 | − | 4.58907i | −0.662680 | − | 0.241196i | ||||
\(363\) | 9.40322 | + | 11.2918i | 0.493541 | + | 0.592666i | ||||
\(364\) | −6.34759 | + | 12.8944i | −0.332704 | + | 0.675848i | ||||
\(365\) | −3.21899 | + | 18.2558i | −0.168490 | + | 0.955553i | ||||
\(366\) | 3.36076 | − | 9.12727i | 0.175670 | − | 0.477090i | ||||
\(367\) | −2.10734 | − | 11.9513i | −0.110002 | − | 0.623854i | −0.989104 | − | 0.147219i | \(-0.952968\pi\) |
0.879102 | − | 0.476634i | \(-0.158143\pi\) | |||||||
\(368\) | −3.99299 | − | 6.91606i | −0.208149 | − | 0.360524i | ||||
\(369\) | −0.738730 | − | 1.30191i | −0.0384568 | − | 0.0677746i | ||||
\(370\) | 5.52154 | + | 9.56359i | 0.287051 | + | 0.497187i | ||||
\(371\) | −12.9356 | − | 9.47085i | −0.671581 | − | 0.491702i | ||||
\(372\) | −0.0161437 | + | 4.31735i | −0.000837012 | + | 0.223844i | ||||
\(373\) | 5.54424 | − | 31.4430i | 0.287070 | − | 1.62805i | −0.410727 | − | 0.911758i | \(-0.634725\pi\) |
0.697797 | − | 0.716296i | \(-0.254164\pi\) | |||||||
\(374\) | 1.74894 | − | 9.91872i | 0.0904354 | − | 0.512885i | ||||
\(375\) | 10.6355 | + | 1.91635i | 0.549214 | + | 0.0989601i | ||||
\(376\) | 8.50255 | − | 7.13449i | 0.438486 | − | 0.367933i | ||||
\(377\) | −1.94030 | −0.0999303 | ||||||||
\(378\) | 0.754802 | + | 13.7270i | 0.0388228 | + | 0.706040i | ||||
\(379\) | −9.11400 | −0.468154 | −0.234077 | − | 0.972218i | \(-0.575207\pi\) | ||||
−0.234077 | + | 0.972218i | \(0.575207\pi\) | |||||||
\(380\) | 14.1583 | − | 11.8802i | 0.726305 | − | 0.609443i | ||||
\(381\) | 14.8064 | − | 17.5121i | 0.758554 | − | 0.897174i | ||||
\(382\) | −0.747060 | + | 4.23679i | −0.0382229 | + | 0.216773i | ||||
\(383\) | −0.959928 | + | 5.44402i | −0.0490500 | + | 0.278176i | −0.999461 | − | 0.0328193i | \(-0.989551\pi\) |
0.950411 | + | 0.310996i | \(0.100663\pi\) | |||||||
\(384\) | −1.50323 | + | 0.860411i | −0.0767113 | + | 0.0439076i | ||||
\(385\) | −1.26466 | + | 11.6226i | −0.0644528 | + | 0.592342i | ||||
\(386\) | 9.64242 | + | 16.7012i | 0.490786 | + | 0.850066i | ||||
\(387\) | −6.47547 | + | 35.1835i | −0.329167 | + | 1.78848i | ||||
\(388\) | 4.40930 | + | 7.63713i | 0.223848 | + | 0.387717i | ||||
\(389\) | 1.91558 | + | 10.8638i | 0.0971238 | + | 0.550817i | 0.994076 | + | 0.108689i | \(0.0346652\pi\) |
−0.896952 | + | 0.442128i | \(0.854224\pi\) | |||||||
\(390\) | −16.7724 | − | 20.1410i | −0.849301 | − | 1.01988i | ||||
\(391\) | −8.80504 | + | 49.9358i | −0.445290 | + | 2.52536i | ||||
\(392\) | 2.11428 | + | 6.67307i | 0.106787 | + | 0.337041i | ||||
\(393\) | −1.10414 | + | 2.99867i | −0.0556967 | + | 0.151263i | ||||
\(394\) | −12.7711 | − | 4.64829i | −0.643398 | − | 0.234178i | ||||
\(395\) | −3.60246 | − | 6.23965i | −0.181260 | − | 0.313951i | ||||
\(396\) | 3.66818 | − | 3.03151i | 0.184333 | − | 0.152339i | ||||
\(397\) | −5.81627 | + | 10.0741i | −0.291910 | + | 0.505603i | −0.974261 | − | 0.225421i | \(-0.927624\pi\) |
0.682351 | + | 0.731024i | \(0.260957\pi\) | |||||||
\(398\) | 8.05389 | + | 2.93138i | 0.403705 | + | 0.146937i | ||||
\(399\) | −8.59657 | + | 29.1632i | −0.430367 | + | 1.45999i | ||||
\(400\) | 2.11449 | + | 1.77427i | 0.105724 | + | 0.0887133i | ||||
\(401\) | −6.56881 | − | 5.51189i | −0.328031 | − | 0.275251i | 0.463866 | − | 0.885905i | \(-0.346462\pi\) |
−0.791897 | + | 0.610655i | \(0.790906\pi\) | |||||||
\(402\) | 1.34180 | + | 3.72992i | 0.0669231 | + | 0.186031i | ||||
\(403\) | 12.7238 | + | 4.63108i | 0.633817 | + | 0.230690i | ||||
\(404\) | 4.10310 | + | 7.10678i | 0.204137 | + | 0.353576i | ||||
\(405\) | −23.4286 | − | 8.92638i | −1.16418 | − | 0.443555i | ||||
\(406\) | −0.682200 | + | 0.653979i | −0.0338570 | + | 0.0324565i | ||||
\(407\) | 1.09193 | + | 6.19262i | 0.0541248 | + | 0.306957i | ||||
\(408\) | 10.8232 | + | 1.95018i | 0.535828 | + | 0.0965482i | ||||
\(409\) | 5.60050 | − | 31.7620i | 0.276927 | − | 1.57053i | −0.455847 | − | 0.890058i | \(-0.650664\pi\) |
0.732774 | − | 0.680472i | \(-0.238225\pi\) | |||||||
\(410\) | 1.30615 | − | 0.475400i | 0.0645062 | − | 0.0234783i | ||||
\(411\) | 0.0373802 | − | 9.99670i | 0.00184383 | − | 0.493101i | ||||
\(412\) | −7.61284 | − | 2.77085i | −0.375058 | − | 0.136510i | ||||
\(413\) | 6.01494 | + | 24.5068i | 0.295976 | + | 1.20590i | ||||
\(414\) | −18.4675 | + | 15.2622i | −0.907627 | + | 0.750095i | ||||
\(415\) | 49.3665 | 2.42330 | ||||||||
\(416\) | 0.943280 | + | 5.34960i | 0.0462481 | + | 0.262286i | ||||
\(417\) | 21.1762 | + | 25.4294i | 1.03700 | + | 1.24528i | ||||
\(418\) | 9.88953 | − | 3.59950i | 0.483713 | − | 0.176057i | ||||
\(419\) | 2.99828 | − | 17.0041i | 0.146475 | − | 0.830703i | −0.819695 | − | 0.572800i | \(-0.805857\pi\) |
0.966171 | − | 0.257903i | \(-0.0830316\pi\) | |||||||
\(420\) | −12.6856 | − | 1.42834i | −0.618996 | − | 0.0696960i | ||||
\(421\) | 25.5691 | − | 21.4550i | 1.24616 | − | 1.04565i | 0.249147 | − | 0.968466i | \(-0.419850\pi\) |
0.997016 | − | 0.0771891i | \(-0.0245945\pi\) | |||||||
\(422\) | 0.553399 | 0.0269391 | ||||||||
\(423\) | −25.3469 | − | 21.5936i | −1.23241 | − | 1.04992i | ||||
\(424\) | −6.05954 | −0.294277 | ||||||||
\(425\) | −3.04337 | − | 17.2598i | −0.147625 | − | 0.837224i | ||||
\(426\) | 0.295380 | − | 0.169068i | 0.0143112 | − | 0.00819138i | ||||
\(427\) | −14.8247 | + | 0.982076i | −0.717420 | + | 0.0475260i | ||||
\(428\) | 1.52567 | − | 0.555297i | 0.0737459 | − | 0.0268413i | ||||
\(429\) | −5.05203 | − | 14.0435i | −0.243914 | − | 0.678027i | ||||
\(430\) | −31.2159 | − | 11.3617i | −1.50537 | − | 0.547908i | ||||
\(431\) | −11.4752 | + | 19.8756i | −0.552741 | + | 0.957375i | 0.445334 | + | 0.895364i | \(0.353085\pi\) |
−0.998075 | + | 0.0620112i | \(0.980249\pi\) | |||||||
\(432\) | 3.29516 | + | 4.01770i | 0.158539 | + | 0.193302i | ||||
\(433\) | −15.4656 | −0.743231 | −0.371615 | − | 0.928387i | \(-0.621196\pi\) | ||||
−0.371615 | + | 0.928387i | \(0.621196\pi\) | |||||||
\(434\) | 6.03454 | − | 2.66030i | 0.289667 | − | 0.127698i | ||||
\(435\) | −0.583392 | − | 1.62170i | −0.0279715 | − | 0.0777545i | ||||
\(436\) | 7.09986 | + | 5.95749i | 0.340021 | + | 0.285312i | ||||
\(437\) | −49.7889 | + | 18.1217i | −2.38173 | + | 0.866877i | ||||
\(438\) | −9.96004 | − | 5.80019i | −0.475909 | − | 0.277144i | ||||
\(439\) | −2.71277 | − | 15.3849i | −0.129473 | − | 0.734280i | −0.978550 | − | 0.206010i | \(-0.933952\pi\) |
0.849077 | − | 0.528270i | \(-0.177159\pi\) | |||||||
\(440\) | 2.20943 | + | 3.82684i | 0.105330 | + | 0.182437i | ||||
\(441\) | 18.6858 | − | 9.58329i | 0.889802 | − | 0.456347i | ||||
\(442\) | 17.2454 | − | 29.8699i | 0.820280 | − | 1.42077i | ||||
\(443\) | −10.0422 | − | 3.65505i | −0.477118 | − | 0.173657i | 0.0922563 | − | 0.995735i | \(-0.470592\pi\) |
−0.569374 | + | 0.822079i | \(0.692814\pi\) | |||||||
\(444\) | −6.76624 | + | 1.16700i | −0.321111 | + | 0.0553834i | ||||
\(445\) | −2.82877 | − | 2.37362i | −0.134097 | − | 0.112521i | ||||
\(446\) | −12.9524 | + | 4.71428i | −0.613313 | + | 0.223228i | ||||
\(447\) | 6.81198 | + | 8.18012i | 0.322195 | + | 0.386906i | ||||
\(448\) | 2.13475 | + | 1.56297i | 0.100857 | + | 0.0738432i | ||||
\(449\) | 6.55973 | − | 11.3618i | 0.309573 | − | 0.536196i | −0.668696 | − | 0.743536i | \(-0.733147\pi\) |
0.978269 | + | 0.207340i | \(0.0664807\pi\) | |||||||
\(450\) | 4.19392 | − | 7.14022i | 0.197703 | − | 0.336593i | ||||
\(451\) | 0.791481 | 0.0372694 | ||||||||
\(452\) | 1.67323 | − | 1.40401i | 0.0787021 | − | 0.0660389i | ||||
\(453\) | −5.03820 | + | 2.88374i | −0.236715 | + | 0.135490i | ||||
\(454\) | −10.9867 | − | 9.21892i | −0.515631 | − | 0.432665i | ||||
\(455\) | −17.6826 | + | 35.9201i | −0.828975 | + | 1.68396i | ||||
\(456\) | 3.88994 | + | 10.8132i | 0.182163 | + | 0.506373i | ||||
\(457\) | −1.58081 | + | 1.32645i | −0.0739470 | + | 0.0620489i | −0.679012 | − | 0.734127i | \(-0.737592\pi\) |
0.605065 | + | 0.796176i | \(0.293147\pi\) | |||||||
\(458\) | −8.30230 | + | 14.3800i | −0.387941 | + | 0.671933i | ||||
\(459\) | 0.370093 | − | 32.9904i | 0.0172744 | − | 1.53986i | ||||
\(460\) | −11.1234 | − | 19.2662i | −0.518630 | − | 0.898293i | ||||
\(461\) | −0.665461 | − | 3.77402i | −0.0309936 | − | 0.175774i | 0.965381 | − | 0.260842i | \(-0.0840002\pi\) |
−0.996375 | + | 0.0850685i | \(0.972889\pi\) | |||||||
\(462\) | −6.50966 | − | 3.23485i | −0.302857 | − | 0.150499i | ||||
\(463\) | 13.3257 | − | 4.85018i | 0.619300 | − | 0.225407i | −0.0132675 | − | 0.999912i | \(-0.504223\pi\) |
0.632568 | + | 0.774505i | \(0.282001\pi\) | |||||||
\(464\) | −0.0620252 | + | 0.351762i | −0.00287945 | + | 0.0163301i | ||||
\(465\) | −0.0449719 | + | 12.0270i | −0.00208552 | + | 0.557737i | ||||
\(466\) | −8.42076 | + | 7.06586i | −0.390084 | + | 0.327320i | ||||
\(467\) | −2.09984 | + | 3.63703i | −0.0971690 | + | 0.168302i | −0.910512 | − | 0.413483i | \(-0.864312\pi\) |
0.813343 | + | 0.581785i | \(0.197645\pi\) | |||||||
\(468\) | 15.3549 | − | 5.45902i | 0.709778 | − | 0.252343i | ||||
\(469\) | 4.37098 | − | 4.19017i | 0.201833 | − | 0.193484i | ||||
\(470\) | 23.6858 | − | 19.8747i | 1.09254 | − | 0.916753i | ||||
\(471\) | −8.27896 | − | 9.94174i | −0.381474 | − | 0.458091i | ||||
\(472\) | 7.30624 | + | 6.13066i | 0.336297 | + | 0.282187i | ||||
\(473\) | −14.4903 | − | 12.1588i | −0.666264 | − | 0.559062i | ||||
\(474\) | 4.41455 | − | 0.761395i | 0.202767 | − | 0.0349720i | ||||
\(475\) | 14.0289 | − | 11.7717i | 0.643691 | − | 0.540121i | ||||
\(476\) | −4.00428 | − | 16.3147i | −0.183536 | − | 0.747784i | ||||
\(477\) | 3.02271 | + | 17.9255i | 0.138401 | + | 0.820755i | ||||
\(478\) | 3.92630 | − | 6.80055i | 0.179585 | − | 0.311050i | ||||
\(479\) | −33.3768 | + | 28.0065i | −1.52503 | + | 1.27965i | −0.700868 | + | 0.713291i | \(0.747204\pi\) |
−0.824159 | + | 0.566358i | \(0.808352\pi\) | |||||||
\(480\) | −4.18758 | + | 2.39687i | −0.191136 | + | 0.109402i | ||||
\(481\) | −3.73932 | + | 21.2067i | −0.170498 | + | 0.966944i | ||||
\(482\) | 6.78791 | − | 2.47060i | 0.309181 | − | 0.112533i | ||||
\(483\) | 32.7729 | + | 16.2858i | 1.49122 | + | 0.741032i | ||||
\(484\) | −1.47320 | − | 8.35493i | −0.0669636 | − | 0.379769i | ||||
\(485\) | 12.2831 | + | 21.2750i | 0.557747 | + | 0.966046i | ||||
\(486\) | 10.2416 | − | 11.7520i | 0.464567 | − | 0.533083i | ||||
\(487\) | 7.51091 | − | 13.0093i | 0.340352 | − | 0.589507i | −0.644146 | − | 0.764902i | \(-0.722787\pi\) |
0.984498 | + | 0.175396i | \(0.0561205\pi\) | |||||||
\(488\) | −4.30173 | + | 3.60958i | −0.194730 | + | 0.163398i | ||||
\(489\) | −0.634690 | + | 0.750676i | −0.0287017 | + | 0.0339467i | ||||
\(490\) | 5.88979 | + | 18.5893i | 0.266074 | + | 0.839781i | ||||
\(491\) | −21.7701 | − | 18.2672i | −0.982469 | − | 0.824389i | 0.00199135 | − | 0.999998i | \(-0.499366\pi\) |
−0.984460 | + | 0.175609i | \(0.943811\pi\) | |||||||
\(492\) | −0.00323156 | + | 0.864225i | −0.000145690 | + | 0.0389623i | ||||
\(493\) | 1.73734 | − | 1.45780i | 0.0782458 | − | 0.0656561i | ||||
\(494\) | 36.0403 | 1.62153 | ||||||||
\(495\) | 10.2186 | − | 8.44497i | 0.459290 | − | 0.379573i | ||||
\(496\) | 1.24632 | − | 2.15869i | 0.0559615 | − | 0.0969282i | ||||
\(497\) | −0.419471 | − | 0.307118i | −0.0188159 | − | 0.0137761i | ||||
\(498\) | −10.6058 | + | 28.8035i | −0.475256 | + | 1.29072i | ||||
\(499\) | 16.5113 | − | 6.00961i | 0.739145 | − | 0.269027i | 0.0551145 | − | 0.998480i | \(-0.482448\pi\) |
0.684031 | + | 0.729453i | \(0.260225\pi\) | |||||||
\(500\) | −4.77956 | − | 4.01053i | −0.213749 | − | 0.179356i | ||||
\(501\) | 6.27518 | − | 17.0424i | 0.280354 | − | 0.761397i | ||||
\(502\) | 25.9411 | + | 9.44180i | 1.15781 | + | 0.421408i | ||||
\(503\) | −12.3330 | + | 21.3614i | −0.549902 | + | 0.952457i | 0.448379 | + | 0.893843i | \(0.352001\pi\) |
−0.998281 | + | 0.0586140i | \(0.981332\pi\) | |||||||
\(504\) | 3.55874 | − | 7.09474i | 0.158519 | − | 0.316025i | ||||
\(505\) | 11.4301 | + | 19.7975i | 0.508634 | + | 0.880979i | ||||
\(506\) | −2.19973 | − | 12.4753i | −0.0977899 | − | 0.554594i | ||||
\(507\) | 0.106915 | − | 28.5926i | 0.00474826 | − | 1.26984i | ||||
\(508\) | −12.4417 | + | 4.52840i | −0.552010 | + | 0.200915i | ||||
\(509\) | −18.4789 | − | 15.5057i | −0.819065 | − | 0.687277i | 0.133688 | − | 0.991023i | \(-0.457318\pi\) |
−0.952753 | + | 0.303747i | \(0.901762\pi\) | |||||||
\(510\) | 30.1505 | + | 5.43266i | 1.33509 | + | 0.240562i | ||||
\(511\) | −1.90447 | + | 17.5027i | −0.0842488 | + | 0.774273i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 30.0475 | − | 16.9014i | 1.32663 | − | 0.746213i | ||||
\(514\) | 4.50323 | − | 7.79982i | 0.198629 | − | 0.344035i | ||||
\(515\) | −21.2073 | − | 7.71882i | −0.934505 | − | 0.340132i | ||||
\(516\) | 13.3355 | − | 15.7724i | 0.587061 | − | 0.694343i | ||||
\(517\) | 16.5445 | − | 6.02169i | 0.727624 | − | 0.264834i | ||||
\(518\) | 5.83303 | + | 8.71654i | 0.256289 | + | 0.382983i | ||||
\(519\) | 0.00899540 | − | 2.40566i | 0.000394854 | − | 0.105597i | ||||
\(520\) | 2.62772 | + | 14.9025i | 0.115233 | + | 0.653519i | ||||
\(521\) | 7.52398 | 0.329632 | 0.164816 | − | 0.986324i | \(-0.447297\pi\) | ||||
0.164816 | + | 0.986324i | \(0.447297\pi\) | |||||||
\(522\) | 1.07154 | + | 0.00801361i | 0.0468999 | + | 0.000350746i | ||||
\(523\) | 24.6061 | 1.07595 | 0.537975 | − | 0.842961i | \(-0.319189\pi\) | ||||
0.537975 | + | 0.842961i | \(0.319189\pi\) | |||||||
\(524\) | 1.41329 | − | 1.18589i | 0.0617399 | − | 0.0518059i | ||||
\(525\) | −12.5697 | − | 1.41529i | −0.548587 | − | 0.0617683i | ||||
\(526\) | −0.185051 | + | 1.04948i | −0.00806861 | + | 0.0457594i | ||||
\(527\) | −14.8723 | + | 5.41309i | −0.647849 | + | 0.235798i | ||||
\(528\) | −2.70749 | + | 0.466971i | −0.117828 | + | 0.0203223i | ||||
\(529\) | 7.08064 | + | 40.1563i | 0.307854 | + | 1.74593i | ||||
\(530\) | −16.8802 | −0.733230 | ||||||||
\(531\) | 14.4913 | − | 24.6718i | 0.628870 | − | 1.07066i | ||||
\(532\) | 12.6716 | − | 12.1475i | 0.549385 | − | 0.526659i | ||||
\(533\) | 2.54698 | + | 0.927024i | 0.110322 | + | 0.0401539i | ||||
\(534\) | 1.99265 | − | 1.14054i | 0.0862303 | − | 0.0493561i | ||||
\(535\) | 4.25009 | − | 1.54691i | 0.183747 | − | 0.0668786i | ||||
\(536\) | 0.397407 | − | 2.25381i | 0.0171654 | − | 0.0973496i | ||||
\(537\) | 8.27902 | − | 9.79195i | 0.357266 | − | 0.422554i | ||||
\(538\) | 1.98676 | + | 11.2675i | 0.0856552 | + | 0.485775i | ||||
\(539\) | −0.468824 | + | 11.0938i | −0.0201937 | + | 0.477845i | ||||
\(540\) | 9.17942 | + | 11.1922i | 0.395019 | + | 0.481636i | ||||
\(541\) | 19.9879 | + | 34.6201i | 0.859347 | + | 1.48843i | 0.872552 | + | 0.488520i | \(0.162463\pi\) |
−0.0132052 | + | 0.999913i | \(0.504203\pi\) | |||||||
\(542\) | 1.18917 | + | 0.432822i | 0.0510792 | + | 0.0185913i | ||||
\(543\) | 15.0047 | − | 17.7468i | 0.643915 | − | 0.761587i | ||||
\(544\) | −4.86393 | − | 4.08132i | −0.208539 | − | 0.174985i | ||||
\(545\) | 19.7783 | + | 16.5959i | 0.847207 | + | 0.710891i | ||||
\(546\) | −17.1592 | − | 18.0342i | −0.734346 | − | 0.771791i | ||||
\(547\) | −6.60822 | − | 2.40520i | −0.282547 | − | 0.102839i | 0.196859 | − | 0.980432i | \(-0.436926\pi\) |
−0.479406 | + | 0.877593i | \(0.659148\pi\) | |||||||
\(548\) | −2.88582 | + | 4.99838i | −0.123276 | + | 0.213520i | ||||
\(549\) | 12.8238 | + | 10.9249i | 0.547308 | + | 0.466265i | ||||
\(550\) | 2.18924 | + | 3.79187i | 0.0933493 | + | 0.161686i | ||||
\(551\) | 2.22691 | + | 0.810528i | 0.0948695 | + | 0.0345297i | ||||
\(552\) | 13.6309 | − | 2.35097i | 0.580168 | − | 0.100064i | ||||
\(553\) | −3.80569 | − | 5.68700i | −0.161834 | − | 0.241836i | ||||
\(554\) | −0.461722 | + | 2.61856i | −0.0196167 | + | 0.111252i | ||||
\(555\) | −18.8489 | + | 3.25094i | −0.800091 | + | 0.137995i | ||||
\(556\) | −3.31767 | − | 18.8155i | −0.140701 | − | 0.797953i | ||||
\(557\) | 5.05497 | + | 8.75547i | 0.214186 | + | 0.370981i | 0.953020 | − | 0.302906i | \(-0.0979568\pi\) |
−0.738834 | + | 0.673887i | \(0.764623\pi\) | |||||||
\(558\) | −7.00763 | − | 2.61008i | −0.296657 | − | 0.110494i | ||||
\(559\) | −32.3886 | − | 56.0987i | −1.36989 | − | 2.37272i | ||||
\(560\) | 5.94682 | + | 4.35399i | 0.251299 | + | 0.183990i | ||||
\(561\) | 15.0749 | + | 8.77881i | 0.636462 | + | 0.370642i | ||||
\(562\) | 3.43241 | − | 19.4662i | 0.144788 | − | 0.821132i | ||||
\(563\) | 1.84251 | − | 10.4494i | 0.0776527 | − | 0.440390i | −0.921049 | − | 0.389447i | \(-0.872666\pi\) |
0.998702 | − | 0.0509433i | \(-0.0162228\pi\) | |||||||
\(564\) | 6.50759 | + | 18.0896i | 0.274019 | + | 0.761710i | ||||
\(565\) | 4.66116 | − | 3.91118i | 0.196097 | − | 0.164545i | ||||
\(566\) | −12.7639 | −0.536505 | ||||||||
\(567\) | −22.7632 | − | 6.98847i | −0.955963 | − | 0.293488i | ||||
\(568\) | −0.196497 | −0.00824484 | ||||||||
\(569\) | 13.9329 | − | 11.6911i | 0.584096 | − | 0.490115i | −0.302193 | − | 0.953247i | \(-0.597719\pi\) |
0.886289 | + | 0.463132i | \(0.153274\pi\) | |||||||
\(570\) | 10.8363 | + | 30.1225i | 0.453883 | + | 1.26169i | ||||
\(571\) | 7.93900 | − | 45.0243i | 0.332237 | − | 1.88421i | −0.120735 | − | 0.992685i | \(-0.538525\pi\) |
0.452972 | − | 0.891525i | \(-0.350364\pi\) | |||||||
\(572\) | −1.49628 | + | 8.48580i | −0.0625624 | + | 0.354809i | ||||
\(573\) | −6.43924 | − | 3.74987i | −0.269003 | − | 0.156653i | ||||
\(574\) | 1.20796 | − | 0.532524i | 0.0504194 | − | 0.0222271i | ||||
\(575\) | −11.0217 | − | 19.0902i | −0.459637 | − | 0.796115i | ||||
\(576\) | −0.498836 | − | 2.95824i | −0.0207848 | − | 0.123260i | ||||
\(577\) | −9.55290 | − | 16.5461i | −0.397693 | − | 0.688824i | 0.595748 | − | 0.803171i | \(-0.296856\pi\) |
−0.993441 | + | 0.114348i | \(0.963522\pi\) | |||||||
\(578\) | 4.04860 | + | 22.9607i | 0.168400 | + | 0.955041i | ||||
\(579\) | −32.9163 | + | 5.67721i | −1.36796 | + | 0.235937i | ||||
\(580\) | −0.172785 | + | 0.979913i | −0.00717451 | + | 0.0406887i | ||||
\(581\) | 46.7834 | − | 3.09920i | 1.94090 | − | 0.128577i | ||||
\(582\) | −15.0520 | + | 2.59608i | −0.623926 | + | 0.107611i | ||||
\(583\) | −9.03226 | − | 3.28747i | −0.374078 | − | 0.136153i | ||||
\(584\) | 3.32722 | + | 5.76291i | 0.137681 | + | 0.238471i | ||||
\(585\) | 42.7744 | − | 15.2073i | 1.76850 | − | 0.628745i | ||||
\(586\) | 10.7386 | − | 18.5997i | 0.443606 | − | 0.768348i | ||||
\(587\) | 29.0244 | + | 10.5640i | 1.19797 | + | 0.436024i | 0.862514 | − | 0.506033i | \(-0.168889\pi\) |
0.335453 | + | 0.942057i | \(0.391111\pi\) | |||||||
\(588\) | −12.1115 | − | 0.557208i | −0.499472 | − | 0.0229789i | ||||
\(589\) | −12.6687 | − | 10.6303i | −0.522006 | − | 0.438015i | ||||
\(590\) | 20.3532 | + | 17.0783i | 0.837927 | + | 0.703104i | ||||
\(591\) | 15.1984 | − | 17.9758i | 0.625179 | − | 0.739426i | ||||
\(592\) | 3.72510 | + | 1.35583i | 0.153101 | + | 0.0557241i | ||||
\(593\) | 9.09010 | + | 15.7445i | 0.373286 | + | 0.646550i | 0.990069 | − | 0.140583i | \(-0.0448978\pi\) |
−0.616783 | + | 0.787133i | \(0.711564\pi\) | |||||||
\(594\) | 2.73200 | + | 7.77645i | 0.112095 | + | 0.319071i | ||||
\(595\) | −11.1548 | − | 45.4484i | −0.457304 | − | 1.86320i | ||||
\(596\) | −1.06723 | − | 6.05256i | −0.0437154 | − | 0.247923i | ||||
\(597\) | −9.58465 | + | 11.3362i | −0.392274 | + | 0.463959i | ||||
\(598\) | 7.53301 | − | 42.7218i | 0.308047 | − | 1.74702i | ||||
\(599\) | −5.32970 | + | 1.93985i | −0.217765 | + | 0.0792601i | −0.448599 | − | 0.893733i | \(-0.648077\pi\) |
0.230834 | + | 0.972993i | \(0.425855\pi\) | |||||||
\(600\) | −4.14931 | + | 2.37496i | −0.169395 | + | 0.0969575i | ||||
\(601\) | 35.0446 | + | 12.7552i | 1.42950 | + | 0.520295i | 0.936788 | − | 0.349898i | \(-0.113784\pi\) |
0.492711 | + | 0.870193i | \(0.336006\pi\) | |||||||
\(602\) | −30.2958 | − | 8.80745i | −1.23477 | − | 0.358965i | ||||
\(603\) | −6.86553 | − | 0.0513447i | −0.279586 | − | 0.00209092i | ||||
\(604\) | 3.35159 | 0.136374 | ||||||||
\(605\) | −4.10393 | − | 23.2745i | −0.166848 | − | 0.946245i | ||||
\(606\) | −14.0068 | + | 2.41580i | −0.568986 | + | 0.0981353i | ||||
\(607\) | −24.3953 | + | 8.87916i | −0.990174 | + | 0.360394i | −0.785788 | − | 0.618496i | \(-0.787742\pi\) |
−0.204386 | + | 0.978890i | \(0.565520\pi\) | |||||||
\(608\) | 1.15210 | − | 6.53387i | 0.0467237 | − | 0.264983i | ||||
\(609\) | −0.654676 | − | 1.50022i | −0.0265288 | − | 0.0607920i | ||||
\(610\) | −11.9834 | + | 10.0553i | −0.485195 | + | 0.407127i | ||||
\(611\) | 60.2928 | 2.43919 | ||||||||
\(612\) | −9.64721 | + | 16.4246i | −0.389965 | + | 0.663923i | ||||
\(613\) | 3.91973 | 0.158317 | 0.0791583 | − | 0.996862i | \(-0.474777\pi\) | ||||
0.0791583 | + | 0.996862i | \(0.474777\pi\) | |||||||
\(614\) | 5.93639 | + | 33.6669i | 0.239573 | + | 1.35869i | ||||
\(615\) | −0.00900224 | + | 2.40749i | −0.000363005 | + | 0.0970795i | ||||
\(616\) | 2.33407 | + | 3.48790i | 0.0940422 | + | 0.140531i | ||||
\(617\) | −34.4264 | + | 12.5302i | −1.38595 | + | 0.504446i | −0.923978 | − | 0.382446i | \(-0.875082\pi\) |
−0.461976 | + | 0.886892i | \(0.652859\pi\) | |||||||
\(618\) | 9.05977 | − | 10.7154i | 0.364437 | − | 0.431036i | ||||
\(619\) | −46.4200 | − | 16.8955i | −1.86578 | − | 0.679087i | −0.973973 | − | 0.226662i | \(-0.927219\pi\) |
−0.891803 | − | 0.452425i | \(-0.850559\pi\) | |||||||
\(620\) | 3.47191 | − | 6.01353i | 0.139435 | − | 0.241509i | ||||
\(621\) | −13.7543 | − | 39.1506i | −0.551940 | − | 1.57106i | ||||
\(622\) | 8.70071 | 0.348867 | ||||||||
\(623\) | −2.82978 | − | 2.07184i | −0.113373 | − | 0.0830064i | ||||
\(624\) | −9.25961 | − | 1.66844i | −0.370681 | − | 0.0667912i | ||||
\(625\) | −23.8870 | − | 20.0436i | −0.955480 | − | 0.801743i | ||||
\(626\) | −11.8442 | + | 4.31095i | −0.473391 | + | 0.172300i | ||||
\(627\) | −0.0681605 | + | 18.2284i | −0.00272207 | + | 0.727970i | ||||
\(628\) | 1.29706 | + | 7.35600i | 0.0517584 | + | 0.293536i | ||||
\(629\) | −12.5851 | − | 21.7980i | −0.501799 | − | 0.869141i | ||||
\(630\) | 9.91366 | − | 19.7640i | 0.394970 | − | 0.787417i | ||||
\(631\) | −10.3646 | + | 17.9519i | −0.412606 | + | 0.714655i | −0.995174 | − | 0.0981271i | \(-0.968715\pi\) |
0.582568 | + | 0.812782i | \(0.302048\pi\) | |||||||
\(632\) | −2.43040 | − | 0.884592i | −0.0966760 | − | 0.0351872i | ||||
\(633\) | −0.331197 | + | 0.899478i | −0.0131639 | + | 0.0357511i | ||||
\(634\) | −13.9130 | − | 11.6744i | −0.552557 | − | 0.463651i | ||||
\(635\) | −34.6591 | + | 12.6149i | −1.37540 | + | 0.500606i | ||||
\(636\) | 3.62650 | − | 9.84899i | 0.143800 | − | 0.390538i | ||||
\(637\) | −14.5024 | + | 35.1508i | −0.574604 | + | 1.39272i | ||||
\(638\) | −0.283295 | + | 0.490681i | −0.0112158 | + | 0.0194263i | ||||
\(639\) | 0.0980198 | + | 0.581285i | 0.00387760 | + | 0.0229953i | ||||
\(640\) | 2.78573 | 0.110115 | ||||||||
\(641\) | 17.6880 | − | 14.8420i | 0.698634 | − | 0.586223i | −0.222751 | − | 0.974875i | \(-0.571504\pi\) |
0.921385 | + | 0.388652i | \(0.127059\pi\) | |||||||
\(642\) | −0.0105152 | + | 2.81210i | −0.000415001 | + | 0.110985i | ||||
\(643\) | 8.83350 | + | 7.41219i | 0.348359 | + | 0.292308i | 0.800131 | − | 0.599826i | \(-0.204763\pi\) |
−0.451772 | + | 0.892134i | \(0.649208\pi\) | |||||||
\(644\) | −11.7509 | − | 17.5598i | −0.463049 | − | 0.691954i | ||||
\(645\) | 37.1489 | − | 43.9377i | 1.46274 | − | 1.73004i | ||||
\(646\) | −32.2705 | + | 27.0782i | −1.26967 | + | 1.06538i | ||||
\(647\) | 9.88562 | − | 17.1224i | 0.388644 | − | 0.673151i | −0.603624 | − | 0.797269i | \(-0.706277\pi\) |
0.992267 | + | 0.124119i | \(0.0396103\pi\) | |||||||
\(648\) | −8.50233 | + | 2.95135i | −0.334003 | + | 0.115940i | ||||
\(649\) | 7.56451 | + | 13.1021i | 0.296933 | + | 0.514303i | ||||
\(650\) | 2.60370 | + | 14.7663i | 0.102126 | + | 0.579184i | ||||
\(651\) | 0.712428 | + | 11.4005i | 0.0279223 | + | 0.446820i | ||||
\(652\) | 0.533324 | − | 0.194114i | 0.0208866 | − | 0.00760210i | ||||
\(653\) | −1.10737 | + | 6.28022i | −0.0433348 | + | 0.245764i | −0.998779 | − | 0.0494091i | \(-0.984266\pi\) |
0.955444 | + | 0.295173i | \(0.0953773\pi\) | |||||||
\(654\) | −13.9322 | + | 7.97446i | −0.544793 | + | 0.311826i | ||||
\(655\) | 3.93704 | − | 3.30357i | 0.153833 | − | 0.129081i | ||||
\(656\) | 0.249482 | − | 0.432115i | 0.00974063 | − | 0.0168713i | ||||
\(657\) | 15.3883 | − | 12.7174i | 0.600355 | − | 0.496155i | ||||
\(658\) | 21.1987 | − | 20.3218i | 0.826412 | − | 0.792226i | ||||
\(659\) | −16.9418 | + | 14.2158i | −0.659958 | + | 0.553770i | −0.910074 | − | 0.414445i | \(-0.863976\pi\) |
0.250116 | + | 0.968216i | \(0.419531\pi\) | |||||||
\(660\) | −7.54232 | + | 1.30085i | −0.293584 | + | 0.0506357i | ||||
\(661\) | −18.1265 | − | 15.2099i | −0.705038 | − | 0.591597i | 0.218164 | − | 0.975912i | \(-0.429993\pi\) |
−0.923202 | + | 0.384315i | \(0.874438\pi\) | |||||||
\(662\) | 17.5556 | + | 14.7309i | 0.682317 | + | 0.572532i | ||||
\(663\) | 38.2286 | + | 45.9066i | 1.48468 | + | 1.78287i | ||||
\(664\) | 13.5752 | − | 11.3910i | 0.526822 | − | 0.442056i | ||||
\(665\) | 35.2997 | − | 33.8395i | 1.36886 | − | 1.31224i | ||||
\(666\) | 2.15264 | − | 11.6961i | 0.0834131 | − | 0.453213i | ||||
\(667\) | 1.42625 | − | 2.47034i | 0.0552246 | − | 0.0956518i | ||||
\(668\) | −8.03215 | + | 6.73978i | −0.310773 | + | 0.260770i | ||||
\(669\) | 0.0892702 | − | 23.8738i | 0.00345139 | − | 0.923013i | ||||
\(670\) | 1.10707 | − | 6.27848i | 0.0427697 | − | 0.242559i | ||||
\(671\) | −8.37039 | + | 3.04657i | −0.323136 | + | 0.117612i | ||||
\(672\) | −3.81799 | + | 2.53435i | −0.147282 | + | 0.0977646i | ||||
\(673\) | −1.50081 | − | 8.51150i | −0.0578518 | − | 0.328094i | 0.942122 | − | 0.335269i | \(-0.108827\pi\) |
−0.999974 | + | 0.00717497i | \(0.997716\pi\) | |||||||
\(674\) | 14.7275 | + | 25.5087i | 0.567281 | + | 0.982560i | ||||
\(675\) | 9.09553 | + | 11.0899i | 0.350087 | + | 0.426852i | ||||
\(676\) | −8.25402 | + | 14.2964i | −0.317462 | + | 0.549861i | ||||
\(677\) | −0.903327 | + | 0.757982i | −0.0347177 | + | 0.0291316i | −0.659981 | − | 0.751282i | \(-0.729436\pi\) |
0.625264 | + | 0.780414i | \(0.284991\pi\) | |||||||
\(678\) | 1.28064 | + | 3.55988i | 0.0491826 | + | 0.136717i | ||||
\(679\) | 12.9760 | + | 19.3906i | 0.497974 | + | 0.744144i | ||||
\(680\) | −13.5496 | − | 11.3694i | −0.519602 | − | 0.435998i | ||||
\(681\) | 21.5594 | − | 12.3401i | 0.826160 | − | 0.472873i | ||||
\(682\) | 3.02890 | − | 2.54155i | 0.115983 | − | 0.0973210i | ||||
\(683\) | −36.7444 | −1.40598 | −0.702992 | − | 0.711197i | \(-0.748153\pi\) | ||||
−0.702992 | + | 0.711197i | \(0.748153\pi\) | |||||||
\(684\) | −19.9034 | − | 0.148850i | −0.761027 | − | 0.00569143i | ||||
\(685\) | −8.03910 | + | 13.9241i | −0.307158 | + | 0.532014i | ||||
\(686\) | 6.74864 | + | 17.2469i | 0.257664 | + | 0.658490i | ||||
\(687\) | −18.4041 | − | 22.1004i | −0.702159 | − | 0.843183i | ||||
\(688\) | −11.2057 | + | 4.07853i | −0.427212 | + | 0.155492i | ||||
\(689\) | −25.2153 | − | 21.1581i | −0.960625 | − | 0.806060i | ||||
\(690\) | 37.9718 | − | 6.54915i | 1.44556 | − | 0.249322i | ||||
\(691\) | −32.5887 | − | 11.8613i | −1.23973 | − | 0.451226i | −0.362813 | − | 0.931862i | \(-0.618184\pi\) |
−0.876920 | + | 0.480636i | \(0.840406\pi\) | |||||||
\(692\) | −0.694460 | + | 1.20284i | −0.0263994 | + | 0.0457251i | ||||
\(693\) | 9.15370 | − | 8.64461i | 0.347720 | − | 0.328382i | ||||
\(694\) | −0.297809 | − | 0.515819i | −0.0113047 | − | 0.0195802i | ||||
\(695\) | −9.24213 | − | 52.4147i | −0.350574 | − | 1.98820i | ||||
\(696\) | −0.534623 | − | 0.311336i | −0.0202648 | − | 0.0118011i | ||||
\(697\) | −2.97706 | + | 1.08356i | −0.112764 | + | 0.0410428i | ||||
\(698\) | −12.3500 | − | 10.3629i | −0.467455 | − | 0.392241i | ||||
\(699\) | −6.44499 | − | 17.9156i | −0.243772 | − | 0.677631i | ||||
\(700\) | 5.89247 | + | 4.31421i | 0.222714 | + | 0.163062i | ||||
\(701\) | −14.0402 | −0.530292 | −0.265146 | − | 0.964208i | \(-0.585420\pi\) | ||||
−0.265146 | + | 0.964208i | \(0.585420\pi\) | |||||||
\(702\) | −0.316627 | + | 28.2244i | −0.0119503 | + | 1.06526i | ||||
\(703\) | 13.1505 | − | 22.7773i | 0.495979 | − | 0.859061i | ||||
\(704\) | 1.49059 | + | 0.542529i | 0.0561786 | + | 0.0204473i | ||||
\(705\) | 18.1283 | + | 50.3927i | 0.682753 | + | 1.89790i | ||||
\(706\) | −8.94675 | + | 3.25635i | −0.336715 | + | 0.122554i | ||||
\(707\) | 12.0749 | + | 18.0441i | 0.454124 | + | 0.678617i | ||||
\(708\) | −14.3372 | + | 8.20626i | −0.538825 | + | 0.308410i | ||||
\(709\) | −5.41002 | − | 30.6818i | −0.203178 | − | 1.15228i | −0.900282 | − | 0.435308i | \(-0.856639\pi\) |
0.697104 | − | 0.716970i | \(-0.254472\pi\) | |||||||
\(710\) | −0.547387 | −0.0205431 | ||||||||
\(711\) | −1.40446 | + | 7.63095i | −0.0526715 | + | 0.286183i | ||||
\(712\) | −1.32558 | −0.0496782 | ||||||||
\(713\) | −15.2490 | + | 12.7954i | −0.571080 | + | 0.479193i | ||||
\(714\) | 28.9139 | + | 3.25557i | 1.08208 | + | 0.121837i | ||||
\(715\) | −4.16821 | + | 23.6391i | −0.155882 | + | 0.884053i | ||||
\(716\) | −6.95678 | + | 2.53206i | −0.259987 | + | 0.0946276i | ||||
\(717\) | 8.70360 | + | 10.4517i | 0.325042 | + | 0.390325i | ||||
\(718\) | 1.03898 | + | 5.89235i | 0.0387744 | + | 0.219901i | ||||
\(719\) | −14.3269 | −0.534303 | −0.267152 | − | 0.963655i | \(-0.586082\pi\) | ||||
−0.267152 | + | 0.963655i | \(0.586082\pi\) | |||||||
\(720\) | −1.38962 | − | 8.24084i | −0.0517880 | − | 0.307118i | ||||
\(721\) | −20.5822 | − | 5.98356i | −0.766522 | − | 0.222839i | ||||
\(722\) | −23.5099 | − | 8.55691i | −0.874949 | − | 0.318455i | ||||
\(723\) | −0.0467836 | + | 12.5115i | −0.00173990 | + | 0.465306i | ||||
\(724\) | −12.6084 | + | 4.58907i | −0.468586 | + | 0.170551i | ||||
\(725\) | −0.171206 | + | 0.970958i | −0.00635844 | + | 0.0360605i | ||||
\(726\) | 14.4615 | + | 2.60575i | 0.536717 | + | 0.0967084i | ||||
\(727\) | −0.936272 | − | 5.30986i | −0.0347244 | − | 0.196932i | 0.962511 | − | 0.271244i | \(-0.0874350\pi\) |
−0.997235 | + | 0.0743121i | \(0.976324\pi\) | |||||||
\(728\) | 3.42580 | + | 13.9578i | 0.126969 | + | 0.517310i | ||||
\(729\) | 12.9720 | + | 23.6797i | 0.480446 | + | 0.877024i | ||||
\(730\) | 9.26872 | + | 16.0539i | 0.343051 | + | 0.594181i | ||||
\(731\) | 71.1493 | + | 25.8962i | 2.63155 | + | 0.957807i | ||||
\(732\) | −3.29241 | − | 9.15215i | −0.121691 | − | 0.338273i | ||||
\(733\) | 13.6687 | + | 11.4694i | 0.504864 | + | 0.423631i | 0.859318 | − | 0.511442i | \(-0.170889\pi\) |
−0.354453 | + | 0.935074i | \(0.615333\pi\) | |||||||
\(734\) | −9.29648 | − | 7.80067i | −0.343139 | − | 0.287928i | ||||
\(735\) | −33.7394 | − | 1.55223i | −1.24450 | − | 0.0572549i | ||||
\(736\) | −7.50436 | − | 2.73136i | −0.276614 | − | 0.100679i | ||||
\(737\) | 1.81512 | − | 3.14389i | 0.0668609 | − | 0.115807i | ||||
\(738\) | −1.40275 | − | 0.522472i | −0.0516359 | − | 0.0192325i | ||||
\(739\) | 20.3205 | + | 35.1961i | 0.747501 | + | 1.29471i | 0.949017 | + | 0.315225i | \(0.102080\pi\) |
−0.201516 | + | 0.979485i | \(0.564587\pi\) | |||||||
\(740\) | 10.3771 | + | 3.77696i | 0.381470 | + | 0.138844i | ||||
\(741\) | −21.5694 | + | 58.5789i | −0.792370 | + | 2.15195i | ||||
\(742\) | −15.9970 | + | 1.05973i | −0.587267 | + | 0.0389040i | ||||
\(743\) | −5.13821 | + | 29.1402i | −0.188502 | + | 1.06905i | 0.732870 | + | 0.680369i | \(0.238180\pi\) |
−0.921372 | + | 0.388682i | \(0.872931\pi\) | |||||||
\(744\) | 2.76278 | + | 3.31766i | 0.101288 | + | 0.121631i | ||||
\(745\) | −2.97301 | − | 16.8608i | −0.108923 | − | 0.617731i | ||||
\(746\) | −15.9640 | − | 27.6505i | −0.584484 | − | 1.01236i | ||||
\(747\) | −40.4690 | − | 34.4766i | −1.48068 | − | 1.26143i | ||||
\(748\) | −5.03587 | − | 8.72238i | −0.184130 | − | 0.318922i | ||||
\(749\) | 3.93059 | − | 1.73278i | 0.143621 | − | 0.0633145i | ||||
\(750\) | 9.37906 | − | 5.36834i | 0.342475 | − | 0.196024i | ||||
\(751\) | 3.20254 | − | 18.1625i | 0.116862 | − | 0.662759i | −0.868949 | − | 0.494902i | \(-0.835204\pi\) |
0.985811 | − | 0.167857i | \(-0.0536848\pi\) | |||||||
\(752\) | 1.92737 | − | 10.9307i | 0.0702840 | − | 0.398601i | ||||
\(753\) | −30.8716 | + | 36.5132i | −1.12502 | + | 1.33061i | ||||
\(754\) | −1.48635 | + | 1.24720i | −0.0541298 | + | 0.0454203i | ||||
\(755\) | 9.33661 | 0.339794 | ||||||||
\(756\) | 9.40175 | + | 10.0303i | 0.341938 | + | 0.364799i | ||||
\(757\) | −27.3164 | −0.992830 | −0.496415 | − | 0.868085i | \(-0.665351\pi\) | ||||
−0.496415 | + | 0.868085i | \(0.665351\pi\) | |||||||
\(758\) | −6.98173 | + | 5.85836i | −0.253588 | + | 0.212785i | ||||
\(759\) | 21.5934 | + | 3.89081i | 0.783792 | + | 0.141228i | ||||
\(760\) | 3.20943 | − | 18.2016i | 0.116418 | − | 0.660240i | ||||
\(761\) | 7.29600 | − | 41.3777i | 0.264480 | − | 1.49994i | −0.506033 | − | 0.862514i | \(-0.668888\pi\) |
0.770512 | − | 0.637425i | \(-0.220000\pi\) | |||||||
\(762\) | 0.0857503 | − | 22.9324i | 0.00310641 | − | 0.830755i | ||||
\(763\) | 19.7853 | + | 14.4859i | 0.716274 | + | 0.524424i | ||||
\(764\) | 2.15107 | + | 3.72577i | 0.0778231 | + | 0.134794i | ||||
\(765\) | −26.8745 | + | 45.7543i | −0.971649 | + | 1.65425i | ||||
\(766\) | 2.76400 | + | 4.78739i | 0.0998674 | + | 0.172975i | ||||
\(767\) | 8.99664 | + | 51.0225i | 0.324850 | + | 1.84231i | ||||
\(768\) | −0.598478 | + | 1.62537i | −0.0215957 | + | 0.0586504i | ||||
\(769\) | 3.36957 | − |