Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,2,Mod(35,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.p (of order \(6\), 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: | \(1.24566627153\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 156.35 |
Dual form | 156.2.p.b.107.6 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.998939 | − | 1.00106i | −0.706356 | − | 0.707857i | ||||
\(3\) | 1.10270 | − | 1.33569i | 0.636644 | − | 0.771158i | ||||
\(4\) | −0.00424367 | + | 2.00000i | −0.00212183 | + | 0.999998i | ||||
\(5\) | 0.171572i | 0.0767293i | 0.999264 | + | 0.0383647i | \(0.0122149\pi\) | ||||
−0.999264 | + | 0.0383647i | \(0.987785\pi\) | |||||||
\(6\) | −2.43863 | + | 0.230399i | −0.995567 | + | 0.0940599i | ||||
\(7\) | 2.51891 | − | 1.45429i | 0.952057 | − | 0.549670i | 0.0583377 | − | 0.998297i | \(-0.481420\pi\) |
0.893719 | + | 0.448627i | \(0.148087\pi\) | |||||||
\(8\) | 2.00636 | − | 1.99362i | 0.709354 | − | 0.704853i | ||||
\(9\) | −0.568109 | − | 2.94572i | −0.189370 | − | 0.981906i | ||||
\(10\) | 0.171754 | − | 0.171390i | 0.0543134 | − | 0.0541982i | ||||
\(11\) | 0.674360 | − | 1.16803i | 0.203327 | − | 0.352173i | −0.746271 | − | 0.665642i | \(-0.768158\pi\) |
0.949598 | + | 0.313469i | \(0.101491\pi\) | |||||||
\(12\) | 2.66668 | + | 2.21106i | 0.769806 | + | 0.638279i | ||||
\(13\) | −3.29935 | + | 1.45406i | −0.915075 | + | 0.403283i | ||||
\(14\) | −3.97207 | − | 1.06883i | −1.06158 | − | 0.285657i | ||||
\(15\) | 0.229166 | + | 0.189192i | 0.0591704 | + | 0.0488492i | ||||
\(16\) | −3.99996 | − | 0.0169746i | −0.999991 | − | 0.00424366i | ||||
\(17\) | −4.48929 | + | 2.59189i | −1.08881 | + | 0.628627i | −0.933260 | − | 0.359201i | \(-0.883049\pi\) |
−0.155553 | + | 0.987828i | \(0.549716\pi\) | |||||||
\(18\) | −2.38134 | + | 3.51130i | −0.561286 | + | 0.827622i | ||||
\(19\) | 4.90054 | − | 2.82933i | 1.12426 | − | 0.649092i | 0.181775 | − | 0.983340i | \(-0.441816\pi\) |
0.942485 | + | 0.334248i | \(0.108482\pi\) | |||||||
\(20\) | −0.343143 | 0.000728095i | −0.0767292 | 0.000162807i | ||||||
\(21\) | 0.835121 | − | 4.96811i | 0.182238 | − | 1.08413i | ||||
\(22\) | −1.84291 | + | 0.491711i | −0.392909 | + | 0.104833i | ||||
\(23\) | −1.40931 | + | 2.44099i | −0.293861 | + | 0.508983i | −0.974719 | − | 0.223433i | \(-0.928274\pi\) |
0.680858 | + | 0.732415i | \(0.261607\pi\) | |||||||
\(24\) | −0.450448 | − | 4.87823i | −0.0919473 | − | 0.995764i | ||||
\(25\) | 4.97056 | 0.994113 | ||||||||
\(26\) | 4.75145 | + | 1.85033i | 0.931836 | + | 0.362881i | ||||
\(27\) | −4.56100 | − | 2.48943i | −0.877766 | − | 0.479090i | ||||
\(28\) | 2.89789 | + | 5.04397i | 0.547649 | + | 0.953221i | ||||
\(29\) | 2.51772 | + | 1.45360i | 0.467528 | + | 0.269927i | 0.715204 | − | 0.698915i | \(-0.246334\pi\) |
−0.247676 | + | 0.968843i | \(0.579667\pi\) | |||||||
\(30\) | −0.0395300 | − | 0.418401i | −0.00721715 | − | 0.0763892i | ||||
\(31\) | 3.62947i | 0.651871i | 0.945392 | + | 0.325936i | \(0.105679\pi\) | ||||
−0.945392 | + | 0.325936i | \(0.894321\pi\) | |||||||
\(32\) | 3.97873 | + | 4.02116i | 0.703346 | + | 0.710848i | ||||
\(33\) | −0.816498 | − | 2.18871i | −0.142134 | − | 0.381006i | ||||
\(34\) | 7.07917 | + | 1.90491i | 1.21407 | + | 0.326689i | ||||
\(35\) | 0.249516 | + | 0.432174i | 0.0421758 | + | 0.0730507i | ||||
\(36\) | 5.89383 | − | 1.12371i | 0.982305 | − | 0.187286i | ||||
\(37\) | −1.64578 | + | 2.85058i | −0.270565 | + | 0.468632i | −0.969007 | − | 0.247035i | \(-0.920544\pi\) |
0.698442 | + | 0.715667i | \(0.253877\pi\) | |||||||
\(38\) | −7.72766 | − | 2.07941i | −1.25359 | − | 0.337325i | ||||
\(39\) | −1.69603 | + | 6.01028i | −0.271582 | + | 0.962415i | ||||
\(40\) | 0.342050 | + | 0.344234i | 0.0540829 | + | 0.0544282i | ||||
\(41\) | 4.85479 | + | 2.80291i | 0.758191 | + | 0.437742i | 0.828646 | − | 0.559773i | \(-0.189112\pi\) |
−0.0704550 | + | 0.997515i | \(0.522445\pi\) | |||||||
\(42\) | −5.80761 | + | 4.12683i | −0.896134 | + | 0.636784i | ||||
\(43\) | −6.79514 | + | 3.92318i | −1.03625 | + | 0.598279i | −0.918769 | − | 0.394796i | \(-0.870815\pi\) |
−0.117481 | + | 0.993075i | \(0.537482\pi\) | |||||||
\(44\) | 2.33318 | + | 1.35367i | 0.351741 | + | 0.204074i | ||||
\(45\) | 0.505403 | − | 0.0974716i | 0.0753410 | − | 0.0145302i | ||||
\(46\) | 3.85140 | − | 1.02760i | 0.567857 | − | 0.151511i | ||||
\(47\) | 7.05455 | 1.02901 | 0.514506 | − | 0.857487i | \(-0.327975\pi\) | ||||
0.514506 | + | 0.857487i | \(0.327975\pi\) | |||||||
\(48\) | −4.43343 | + | 5.32397i | −0.639910 | + | 0.768449i | ||||
\(49\) | 0.729925 | − | 1.26427i | 0.104275 | − | 0.180610i | ||||
\(50\) | −4.96529 | − | 4.97583i | −0.702198 | − | 0.703689i | ||||
\(51\) | −1.48838 | + | 8.85436i | −0.208416 | + | 1.23986i | ||||
\(52\) | −2.89411 | − | 6.60486i | −0.401341 | − | 0.915929i | ||||
\(53\) | 12.1484i | 1.66871i | 0.551225 | + | 0.834357i | \(0.314161\pi\) | ||||
−0.551225 | + | 0.834357i | \(0.685839\pi\) | |||||||
\(54\) | 2.06410 | + | 7.05262i | 0.280888 | + | 0.959741i | ||||
\(55\) | 0.200401 | + | 0.115701i | 0.0270220 | + | 0.0156012i | ||||
\(56\) | 2.15451 | − | 7.93958i | 0.287909 | − | 1.06097i | ||||
\(57\) | 1.62473 | − | 9.66547i | 0.215201 | − | 1.28022i | ||||
\(58\) | −1.05990 | − | 3.97245i | −0.139171 | − | 0.521608i | ||||
\(59\) | −4.93659 | − | 8.55042i | −0.642689 | − | 1.11317i | −0.984830 | − | 0.173521i | \(-0.944485\pi\) |
0.342141 | − | 0.939648i | \(-0.388848\pi\) | |||||||
\(60\) | −0.379356 | + | 0.457528i | −0.0489747 | + | 0.0590667i | ||||
\(61\) | −0.259736 | − | 0.449877i | −0.0332558 | − | 0.0576008i | 0.848918 | − | 0.528524i | \(-0.177254\pi\) |
−0.882174 | + | 0.470923i | \(0.843921\pi\) | |||||||
\(62\) | 3.63331 | − | 3.62561i | 0.461431 | − | 0.460453i | ||||
\(63\) | −5.71494 | − | 6.59379i | −0.720015 | − | 0.830739i | ||||
\(64\) | 0.0509237 | − | 7.99984i | 0.00636547 | − | 0.999980i | ||||
\(65\) | −0.249476 | − | 0.566076i | −0.0309436 | − | 0.0702131i | ||||
\(66\) | −1.37540 | + | 3.00375i | −0.169300 | + | 0.369737i | ||||
\(67\) | −9.87336 | − | 5.70039i | −1.20622 | − | 0.696413i | −0.244291 | − | 0.969702i | \(-0.578555\pi\) |
−0.961932 | + | 0.273289i | \(0.911888\pi\) | |||||||
\(68\) | −5.16472 | − | 8.98956i | −0.626315 | − | 1.09014i | ||||
\(69\) | 1.70636 | + | 4.57408i | 0.205421 | + | 0.550654i | ||||
\(70\) | 0.183381 | − | 0.681495i | 0.0219183 | − | 0.0814543i | ||||
\(71\) | 5.79987 | + | 10.0457i | 0.688318 | + | 1.19220i | 0.972382 | + | 0.233397i | \(0.0749841\pi\) |
−0.284063 | + | 0.958806i | \(0.591683\pi\) | |||||||
\(72\) | −7.01248 | − | 4.77756i | −0.826429 | − | 0.563041i | ||||
\(73\) | 1.09675 | 0.128365 | 0.0641824 | − | 0.997938i | \(-0.479556\pi\) | ||||
0.0641824 | + | 0.997938i | \(0.479556\pi\) | |||||||
\(74\) | 4.49763 | − | 1.20002i | 0.522839 | − | 0.139500i | ||||
\(75\) | 5.48104 | − | 6.63911i | 0.632895 | − | 0.766618i | ||||
\(76\) | 5.63784 | + | 9.81306i | 0.646705 | + | 1.12564i | ||||
\(77\) | − | 3.92286i | − | 0.447052i | ||||||
\(78\) | 7.71088 | − | 4.30608i | 0.873086 | − | 0.487567i | ||||
\(79\) | − | 5.99431i | − | 0.674413i | −0.941431 | − | 0.337206i | \(-0.890518\pi\) | ||
0.941431 | − | 0.337206i | \(-0.109482\pi\) | |||||||
\(80\) | 0.00291237 | − | 0.686282i | 0.000325613 | − | 0.0767286i | ||||
\(81\) | −8.35450 | + | 3.34698i | −0.928278 | + | 0.371886i | ||||
\(82\) | −2.04375 | − | 7.65988i | −0.225694 | − | 0.845892i | ||||
\(83\) | −3.19647 | −0.350858 | −0.175429 | − | 0.984492i | \(-0.556131\pi\) | ||||
−0.175429 | + | 0.984492i | \(0.556131\pi\) | |||||||
\(84\) | 9.93266 | + | 1.69132i | 1.08374 | + | 0.184538i | ||||
\(85\) | −0.444696 | − | 0.770237i | −0.0482341 | − | 0.0835439i | ||||
\(86\) | 10.7153 | + | 2.88333i | 1.15546 | + | 0.310918i | ||||
\(87\) | 4.71784 | − | 1.75999i | 0.505806 | − | 0.188690i | ||||
\(88\) | −0.975599 | − | 3.68790i | −0.103999 | − | 0.393131i | ||||
\(89\) | −3.87432 | − | 2.23684i | −0.410677 | − | 0.237104i | 0.280404 | − | 0.959882i | \(-0.409532\pi\) |
−0.691080 | + | 0.722778i | \(0.742865\pi\) | |||||||
\(90\) | −0.602441 | − | 0.408570i | −0.0635029 | − | 0.0430671i | ||||
\(91\) | −6.19613 | + | 8.46085i | −0.649531 | + | 0.886938i | ||||
\(92\) | −4.87600 | − | 2.82897i | −0.508358 | − | 0.294941i | ||||
\(93\) | 4.84782 | + | 4.00221i | 0.502696 | + | 0.415010i | ||||
\(94\) | −7.04707 | − | 7.06204i | −0.726849 | − | 0.728393i | ||||
\(95\) | 0.485433 | + | 0.840795i | 0.0498044 | + | 0.0862638i | ||||
\(96\) | 9.75834 | − | 0.880192i | 0.995957 | − | 0.0898342i | ||||
\(97\) | −4.06164 | − | 7.03496i | −0.412397 | − | 0.714292i | 0.582755 | − | 0.812648i | \(-0.301975\pi\) |
−0.995151 | + | 0.0983561i | \(0.968642\pi\) | |||||||
\(98\) | −1.99476 | + | 0.532226i | −0.201501 | + | 0.0537630i | ||||
\(99\) | −3.82378 | − | 1.32291i | −0.384305 | − | 0.132957i | ||||
\(100\) | −0.0210934 | + | 9.94110i | −0.00210934 | + | 0.994110i | ||||
\(101\) | −13.1871 | − | 7.61360i | −1.31217 | − | 0.757581i | −0.329714 | − | 0.944081i | \(-0.606952\pi\) |
−0.982455 | + | 0.186500i | \(0.940286\pi\) | |||||||
\(102\) | 10.3506 | − | 7.35500i | 1.02486 | − | 0.728253i | ||||
\(103\) | 15.1782i | 1.49555i | 0.663952 | + | 0.747775i | \(0.268878\pi\) | ||||
−0.663952 | + | 0.747775i | \(0.731122\pi\) | |||||||
\(104\) | −3.72083 | + | 9.49502i | −0.364857 | + | 0.931064i | ||||
\(105\) | 0.852389 | + | 0.143283i | 0.0831846 | + | 0.0139830i | ||||
\(106\) | 12.1613 | − | 12.1355i | 1.18121 | − | 1.17871i | ||||
\(107\) | 8.88746 | − | 15.3935i | 0.859183 | − | 1.48815i | −0.0135269 | − | 0.999909i | \(-0.504306\pi\) |
0.872710 | − | 0.488240i | \(-0.162361\pi\) | |||||||
\(108\) | 4.99820 | − | 9.11142i | 0.480952 | − | 0.876747i | ||||
\(109\) | −8.55660 | −0.819574 | −0.409787 | − | 0.912181i | \(-0.634397\pi\) | ||||
−0.409787 | + | 0.912181i | \(0.634397\pi\) | |||||||
\(110\) | −0.0843638 | − | 0.316191i | −0.00804377 | − | 0.0301477i | ||||
\(111\) | 1.99267 | + | 5.34157i | 0.189136 | + | 0.507000i | ||||
\(112\) | −10.1002 | + | 5.77435i | −0.954381 | + | 0.545625i | ||||
\(113\) | 6.29921 | − | 3.63685i | 0.592580 | − | 0.342126i | −0.173537 | − | 0.984827i | \(-0.555520\pi\) |
0.766117 | + | 0.642701i | \(0.222186\pi\) | |||||||
\(114\) | −11.2987 | + | 8.02876i | −1.05822 | + | 0.751962i | ||||
\(115\) | −0.418806 | − | 0.241798i | −0.0390539 | − | 0.0225478i | ||||
\(116\) | −2.91789 | + | 5.02925i | −0.270919 | + | 0.466954i | ||||
\(117\) | 6.15763 | + | 8.89289i | 0.569274 | + | 0.822148i | ||||
\(118\) | −3.62814 | + | 13.4832i | −0.333997 | + | 1.24123i | ||||
\(119\) | −7.53874 | + | 13.0575i | −0.691075 | + | 1.19698i | ||||
\(120\) | 0.836967 | − | 0.0772842i | 0.0764043 | − | 0.00705505i | ||||
\(121\) | 4.59048 | + | 7.95094i | 0.417316 | + | 0.722813i | ||||
\(122\) | −0.190893 | + | 0.709411i | −0.0172826 | + | 0.0642270i | ||||
\(123\) | 9.09718 | − | 3.39370i | 0.820265 | − | 0.306000i | ||||
\(124\) | −7.25891 | − | 0.0154023i | −0.651870 | − | 0.00138316i | ||||
\(125\) | 1.71067i | 0.153007i | ||||||||
\(126\) | −0.891904 | + | 12.3078i | −0.0794571 | + | 1.09647i | ||||
\(127\) | 0.671291 | + | 0.387570i | 0.0595674 | + | 0.0343913i | 0.529488 | − | 0.848317i | \(-0.322384\pi\) |
−0.469921 | + | 0.882709i | \(0.655717\pi\) | |||||||
\(128\) | −8.05919 | + | 7.94037i | −0.712339 | + | 0.701836i | ||||
\(129\) | −2.25287 | + | 13.4022i | −0.198354 | + | 1.18000i | ||||
\(130\) | −0.317466 | + | 0.815216i | −0.0278436 | + | 0.0714991i | ||||
\(131\) | −12.0165 | −1.04989 | −0.524943 | − | 0.851137i | \(-0.675913\pi\) | ||||
−0.524943 | + | 0.851137i | \(0.675913\pi\) | |||||||
\(132\) | 4.38088 | − | 1.62370i | 0.381307 | − | 0.141325i | ||||
\(133\) | 8.22933 | − | 14.2536i | 0.713573 | − | 1.23595i | ||||
\(134\) | 4.15645 | + | 15.5782i | 0.359062 | + | 1.34575i | ||||
\(135\) | 0.427116 | − | 0.782541i | 0.0367603 | − | 0.0673504i | ||||
\(136\) | −3.83985 | + | 14.1502i | −0.329265 | + | 1.21337i | ||||
\(137\) | −0.421258 | + | 0.243214i | −0.0359905 | + | 0.0207791i | −0.517887 | − | 0.855449i | \(-0.673281\pi\) |
0.481897 | + | 0.876228i | \(0.339948\pi\) | |||||||
\(138\) | 2.87438 | − | 6.27739i | 0.244684 | − | 0.534367i | ||||
\(139\) | 19.2556 | − | 11.1172i | 1.63324 | − | 0.942952i | 0.650156 | − | 0.759801i | \(-0.274703\pi\) |
0.983085 | − | 0.183151i | \(-0.0586298\pi\) | |||||||
\(140\) | −0.865404 | + | 0.497196i | −0.0731400 | + | 0.0420207i | ||||
\(141\) | 7.77905 | − | 9.42266i | 0.655114 | − | 0.793531i | ||||
\(142\) | 4.26261 | − | 15.8410i | 0.357710 | − | 1.32935i | ||||
\(143\) | −0.526573 | + | 4.83429i | −0.0440343 | + | 0.404263i | ||||
\(144\) | 2.22241 | + | 11.7924i | 0.185201 | + | 0.982701i | ||||
\(145\) | −0.249398 | + | 0.431970i | −0.0207114 | + | 0.0358731i | ||||
\(146\) | −1.09558 | − | 1.09791i | −0.0906712 | − | 0.0908638i | ||||
\(147\) | −0.883775 | − | 2.36906i | −0.0728925 | − | 0.195396i | ||||
\(148\) | −5.69416 | − | 3.30365i | −0.468057 | − | 0.271558i | ||||
\(149\) | 16.5166 | − | 9.53587i | 1.35309 | − | 0.781209i | 0.364412 | − | 0.931238i | \(-0.381270\pi\) |
0.988682 | + | 0.150029i | \(0.0479366\pi\) | |||||||
\(150\) | −12.1214 | + | 1.14521i | −0.989705 | + | 0.0935061i | ||||
\(151\) | − | 13.4507i | − | 1.09461i | −0.836934 | − | 0.547303i | \(-0.815654\pi\) | ||
0.836934 | − | 0.547303i | \(-0.184346\pi\) | |||||||
\(152\) | 4.19161 | − | 15.4465i | 0.339984 | − | 1.25287i | ||||
\(153\) | 10.1854 | + | 11.7517i | 0.823440 | + | 0.950069i | ||||
\(154\) | −3.92702 | + | 3.91870i | −0.316448 | + | 0.315778i | ||||
\(155\) | −0.622715 | −0.0500176 | ||||||||
\(156\) | −12.0133 | − | 3.41755i | −0.961837 | − | 0.273623i | ||||
\(157\) | −11.0195 | −0.879451 | −0.439725 | − | 0.898132i | \(-0.644924\pi\) | ||||
−0.439725 | + | 0.898132i | \(0.644924\pi\) | |||||||
\(158\) | −6.00067 | + | 5.98795i | −0.477387 | + | 0.476376i | ||||
\(159\) | 16.2265 | + | 13.3960i | 1.28684 | + | 1.06238i | ||||
\(160\) | −0.689919 | + | 0.682638i | −0.0545429 | + | 0.0539673i | ||||
\(161\) | 8.19818i | 0.646107i | ||||||||
\(162\) | 11.6962 | + | 5.01994i | 0.918937 | + | 0.394404i | ||||
\(163\) | −0.184262 | + | 0.106384i | −0.0144325 | + | 0.00833262i | −0.507199 | − | 0.861829i | \(-0.669319\pi\) |
0.492766 | + | 0.870162i | \(0.335986\pi\) | |||||||
\(164\) | −5.62642 | + | 9.69766i | −0.439349 | + | 0.757260i | ||||
\(165\) | 0.375522 | − | 0.140088i | 0.0292343 | − | 0.0109059i | ||||
\(166\) | 3.19308 | + | 3.19986i | 0.247831 | + | 0.248357i | ||||
\(167\) | 2.15786 | − | 3.73752i | 0.166980 | − | 0.289218i | −0.770377 | − | 0.637589i | \(-0.779932\pi\) |
0.937357 | + | 0.348371i | \(0.113265\pi\) | |||||||
\(168\) | −8.22900 | − | 11.6327i | −0.634881 | − | 0.897483i | ||||
\(169\) | 8.77143 | − | 9.59489i | 0.674726 | − | 0.738069i | ||||
\(170\) | −0.326829 | + | 1.21459i | −0.0250666 | + | 0.0931546i | ||||
\(171\) | −11.1184 | − | 12.8282i | −0.850248 | − | 0.981000i | ||||
\(172\) | −7.81750 | − | 13.6069i | −0.596079 | − | 1.03752i | ||||
\(173\) | 0.739061 | − | 0.426697i | 0.0561898 | − | 0.0324412i | −0.471642 | − | 0.881790i | \(-0.656339\pi\) |
0.527832 | + | 0.849349i | \(0.323005\pi\) | |||||||
\(174\) | −6.47469 | − | 2.96472i | −0.490845 | − | 0.224755i | ||||
\(175\) | 12.5204 | − | 7.22865i | 0.946452 | − | 0.546434i | ||||
\(176\) | −2.71724 | + | 4.66061i | −0.204820 | + | 0.351307i | ||||
\(177\) | −16.8642 | − | 2.83481i | −1.26759 | − | 0.213078i | ||||
\(178\) | 1.63099 | + | 6.11289i | 0.122248 | + | 0.458180i | ||||
\(179\) | −4.07330 | + | 7.05516i | −0.304453 | + | 0.527328i | −0.977139 | − | 0.212600i | \(-0.931807\pi\) |
0.672687 | + | 0.739928i | \(0.265140\pi\) | |||||||
\(180\) | 0.192798 | + | 1.01122i | 0.0143703 | + | 0.0753716i | ||||
\(181\) | −0.787667 | −0.0585468 | −0.0292734 | − | 0.999571i | \(-0.509319\pi\) | ||||
−0.0292734 | + | 0.999571i | \(0.509319\pi\) | |||||||
\(182\) | 14.6594 | − | 2.24917i | 1.08663 | − | 0.166719i | ||||
\(183\) | −0.887304 | − | 0.149153i | −0.0655914 | − | 0.0110257i | ||||
\(184\) | 2.03885 | + | 7.70713i | 0.150306 | + | 0.568178i | ||||
\(185\) | −0.489079 | − | 0.282370i | −0.0359578 | − | 0.0207602i | ||||
\(186\) | −0.836225 | − | 8.85092i | −0.0613150 | − | 0.648981i | ||||
\(187\) | 6.99148i | 0.511267i | ||||||||
\(188\) | −0.0299372 | + | 14.1091i | −0.00218339 | + | 1.02901i | ||||
\(189\) | −15.1091 | + | 0.362399i | −1.09902 | + | 0.0263606i | ||||
\(190\) | 0.356769 | − | 1.32585i | 0.0258827 | − | 0.0961873i | ||||
\(191\) | −4.96963 | − | 8.60766i | −0.359590 | − | 0.622828i | 0.628302 | − | 0.777969i | \(-0.283750\pi\) |
−0.987892 | + | 0.155141i | \(0.950417\pi\) | |||||||
\(192\) | −10.6291 | − | 8.88943i | −0.767090 | − | 0.641540i | ||||
\(193\) | −7.17024 | + | 12.4192i | −0.516125 | + | 0.893955i | 0.483699 | + | 0.875234i | \(0.339293\pi\) |
−0.999825 | + | 0.0187211i | \(0.994041\pi\) | |||||||
\(194\) | −2.98510 | + | 11.0934i | −0.214317 | + | 0.796462i | ||||
\(195\) | −1.03120 | − | 0.290991i | −0.0738455 | − | 0.0208383i | ||||
\(196\) | 2.52543 | + | 1.46521i | 0.180388 | + | 0.104658i | ||||
\(197\) | −11.2794 | − | 6.51216i | −0.803623 | − | 0.463972i | 0.0411135 | − | 0.999154i | \(-0.486909\pi\) |
−0.844736 | + | 0.535183i | \(0.820243\pi\) | |||||||
\(198\) | 2.49541 | + | 5.14934i | 0.177341 | + | 0.365948i | ||||
\(199\) | 4.26010 | − | 2.45957i | 0.301990 | − | 0.174354i | −0.341346 | − | 0.939938i | \(-0.610883\pi\) |
0.643337 | + | 0.765583i | \(0.277550\pi\) | |||||||
\(200\) | 9.97272 | − | 9.90944i | 0.705178 | − | 0.700703i | ||||
\(201\) | −18.5013 | + | 6.90188i | −1.30498 | + | 0.486821i | ||||
\(202\) | 5.55147 | + | 20.8066i | 0.390600 | + | 1.46395i | ||||
\(203\) | 8.45585 | 0.593485 | ||||||||
\(204\) | −17.7024 | − | 3.01434i | −1.23941 | − | 0.211046i | ||||
\(205\) | −0.480902 | + | 0.832946i | −0.0335876 | + | 0.0581755i | ||||
\(206\) | 15.1943 | − | 15.1621i | 1.05863 | − | 1.05639i | ||||
\(207\) | 7.99112 | + | 2.76467i | 0.555421 | + | 0.192158i | ||||
\(208\) | 13.2220 | − | 5.76017i | 0.916778 | − | 0.399396i | ||||
\(209\) | − | 7.63194i | − | 0.527912i | ||||||
\(210\) | −0.708049 | − | 0.996424i | −0.0488600 | − | 0.0687598i | ||||
\(211\) | 15.0614 | + | 8.69568i | 1.03687 | + | 0.598635i | 0.918944 | − | 0.394388i | \(-0.129043\pi\) |
0.117922 | + | 0.993023i | \(0.462377\pi\) | |||||||
\(212\) | −24.2968 | − | 0.0515539i | −1.66871 | − | 0.00354073i | ||||
\(213\) | 19.8134 | + | 3.33055i | 1.35759 | + | 0.228206i | ||||
\(214\) | −24.2879 | + | 6.48031i | −1.66028 | + | 0.442985i | ||||
\(215\) | −0.673107 | − | 1.16586i | −0.0459055 | − | 0.0795107i | ||||
\(216\) | −14.1140 | + | 4.09826i | −0.960334 | + | 0.278851i | ||||
\(217\) | 5.27830 | + | 9.14228i | 0.358314 | + | 0.620619i | ||||
\(218\) | 8.54752 | + | 8.56567i | 0.578911 | + | 0.580140i | ||||
\(219\) | 1.20938 | − | 1.46491i | 0.0817226 | − | 0.0989895i | ||||
\(220\) | −0.232253 | + | 0.400309i | −0.0156585 | + | 0.0269888i | ||||
\(221\) | 11.0430 | − | 15.0793i | 0.742831 | − | 1.01434i | ||||
\(222\) | 3.35668 | − | 7.33069i | 0.225286 | − | 0.492003i | ||||
\(223\) | −17.8918 | − | 10.3298i | −1.19812 | − | 0.691737i | −0.237987 | − | 0.971268i | \(-0.576488\pi\) |
−0.960137 | + | 0.279531i | \(0.909821\pi\) | |||||||
\(224\) | 15.8700 | + | 4.34270i | 1.06036 | + | 0.290159i | ||||
\(225\) | −2.82382 | − | 14.6419i | −0.188255 | − | 0.976125i | ||||
\(226\) | −9.93323 | − | 2.67290i | −0.660748 | − | 0.177799i | ||||
\(227\) | −9.16326 | − | 15.8712i | −0.608187 | − | 1.05341i | −0.991539 | − | 0.129808i | \(-0.958564\pi\) |
0.383352 | − | 0.923602i | \(-0.374770\pi\) | |||||||
\(228\) | 19.3240 | + | 3.29047i | 1.27976 | + | 0.217917i | ||||
\(229\) | 2.55207 | 0.168645 | 0.0843227 | − | 0.996439i | \(-0.473127\pi\) | ||||
0.0843227 | + | 0.996439i | \(0.473127\pi\) | |||||||
\(230\) | 0.176307 | + | 0.660792i | 0.0116254 | + | 0.0435713i | ||||
\(231\) | −5.23971 | − | 4.32574i | −0.344748 | − | 0.284613i | ||||
\(232\) | 7.94937 | − | 2.10293i | 0.521902 | − | 0.138064i | ||||
\(233\) | − | 17.0173i | − | 1.11484i | −0.830230 | − | 0.557422i | \(-0.811791\pi\) | ||
0.830230 | − | 0.557422i | \(-0.188209\pi\) | |||||||
\(234\) | 2.75122 | − | 15.0476i | 0.179853 | − | 0.983693i | ||||
\(235\) | 1.21036i | 0.0789555i | ||||||||
\(236\) | 17.1217 | − | 9.83687i | 1.11453 | − | 0.640325i | ||||
\(237\) | −8.00651 | − | 6.60992i | −0.520079 | − | 0.429361i | ||||
\(238\) | 20.6021 | − | 5.49688i | 1.33543 | − | 0.356310i | ||||
\(239\) | 17.4768 | 1.13048 | 0.565241 | − | 0.824926i | \(-0.308783\pi\) | ||||
0.565241 | + | 0.824926i | \(0.308783\pi\) | |||||||
\(240\) | −0.913445 | − | 0.760652i | −0.0589626 | − | 0.0490999i | ||||
\(241\) | 11.8427 | + | 20.5122i | 0.762859 | + | 1.32131i | 0.941371 | + | 0.337372i | \(0.109538\pi\) |
−0.178513 | + | 0.983938i | \(0.557129\pi\) | |||||||
\(242\) | 3.37377 | − | 12.5378i | 0.216874 | − | 0.805963i | ||||
\(243\) | −4.74200 | + | 14.8497i | −0.304199 | + | 0.952608i | ||||
\(244\) | 0.900853 | − | 0.517562i | 0.0576712 | − | 0.0331335i | ||||
\(245\) | 0.216913 | + | 0.125235i | 0.0138581 | + | 0.00800095i | ||||
\(246\) | −12.4848 | − | 5.71673i | −0.796003 | − | 0.364486i | ||||
\(247\) | −12.0546 | + | 16.4606i | −0.767015 | + | 1.04736i | ||||
\(248\) | 7.23579 | + | 7.28200i | 0.459473 | + | 0.462407i | ||||
\(249\) | −3.52475 | + | 4.26948i | −0.223372 | + | 0.270567i | ||||
\(250\) | 1.71248 | − | 1.70885i | 0.108307 | − | 0.108077i | ||||
\(251\) | −0.277058 | − | 0.479878i | −0.0174877 | − | 0.0302896i | 0.857149 | − | 0.515068i | \(-0.172233\pi\) |
−0.874637 | + | 0.484779i | \(0.838900\pi\) | |||||||
\(252\) | 13.2118 | − | 11.4019i | 0.832265 | − | 0.718251i | ||||
\(253\) | 1.90076 | + | 3.29222i | 0.119500 | + | 0.206980i | ||||
\(254\) | −0.282597 | − | 1.05916i | −0.0177317 | − | 0.0664577i | ||||
\(255\) | −1.51916 | − | 0.255365i | −0.0951335 | − | 0.0159916i | ||||
\(256\) | 15.9994 | + | 0.135796i | 0.999964 | + | 0.00848724i | ||||
\(257\) | 0.303934 | + | 0.175476i | 0.0189589 | + | 0.0109459i | 0.509449 | − | 0.860501i | \(-0.329849\pi\) |
−0.490491 | + | 0.871446i | \(0.663182\pi\) | |||||||
\(258\) | 15.6669 | − | 11.1328i | 0.975381 | − | 0.693096i | ||||
\(259\) | 9.57378i | 0.594886i | ||||||||
\(260\) | 1.13321 | − | 0.496548i | 0.0702786 | − | 0.0307946i | ||||
\(261\) | 2.85157 | − | 8.24229i | 0.176508 | − | 0.510185i | ||||
\(262\) | 12.0037 | + | 12.0292i | 0.741594 | + | 0.743169i | ||||
\(263\) | −6.60132 | + | 11.4338i | −0.407055 | + | 0.705039i | −0.994558 | − | 0.104182i | \(-0.966778\pi\) |
0.587504 | + | 0.809222i | \(0.300111\pi\) | |||||||
\(264\) | −6.00166 | − | 2.76355i | −0.369377 | − | 0.170085i | ||||
\(265\) | −2.08433 | −0.128039 | ||||||||
\(266\) | −22.4893 | + | 6.00043i | −1.37891 | + | 0.367910i | ||||
\(267\) | −7.25992 | + | 2.70831i | −0.444300 | + | 0.165746i | ||||
\(268\) | 11.4426 | − | 19.7225i | 0.698971 | − | 1.20474i | ||||
\(269\) | −21.8373 | + | 12.6078i | −1.33144 | + | 0.768709i | −0.985521 | − | 0.169554i | \(-0.945767\pi\) |
−0.345922 | + | 0.938263i | \(0.612434\pi\) | |||||||
\(270\) | −1.21003 | + | 0.354141i | −0.0736403 | + | 0.0215524i | ||||
\(271\) | −4.72912 | − | 2.73036i | −0.287274 | − | 0.165857i | 0.349438 | − | 0.936959i | \(-0.386372\pi\) |
−0.636712 | + | 0.771102i | \(0.719706\pi\) | |||||||
\(272\) | 18.0010 | − | 10.2913i | 1.09147 | − | 0.624000i | ||||
\(273\) | 4.46856 | + | 17.6059i | 0.270450 | + | 1.06555i | ||||
\(274\) | 0.664283 | + | 0.178750i | 0.0401308 | + | 0.0107987i | ||||
\(275\) | 3.35195 | − | 5.80575i | 0.202130 | − | 0.350100i | ||||
\(276\) | −9.15537 | + | 3.39329i | −0.551089 | + | 0.204252i | ||||
\(277\) | −9.41867 | − | 16.3136i | −0.565913 | − | 0.980190i | −0.996964 | − | 0.0778625i | \(-0.975190\pi\) |
0.431051 | − | 0.902327i | \(-0.358143\pi\) | |||||||
\(278\) | −30.3642 | − | 8.17060i | −1.82112 | − | 0.490040i | ||||
\(279\) | 10.6914 | − | 2.06193i | 0.640076 | − | 0.123445i | ||||
\(280\) | 1.36221 | + | 0.369654i | 0.0814076 | + | 0.0220910i | ||||
\(281\) | 8.41164i | 0.501796i | 0.968014 | + | 0.250898i | \(0.0807259\pi\) | ||||
−0.968014 | + | 0.250898i | \(0.919274\pi\) | |||||||
\(282\) | −17.2034 | + | 1.62536i | −1.02445 | + | 0.0967888i | ||||
\(283\) | −15.0914 | − | 8.71301i | −0.897089 | − | 0.517935i | −0.0208343 | − | 0.999783i | \(-0.506632\pi\) |
−0.876255 | + | 0.481848i | \(0.839966\pi\) | |||||||
\(284\) | −20.1159 | + | 11.5571i | −1.19366 | + | 0.685787i | ||||
\(285\) | 1.65832 | + | 0.278758i | 0.0982306 | + | 0.0165122i | ||||
\(286\) | 5.36543 | − | 4.30202i | 0.317264 | − | 0.254384i | ||||
\(287\) | 16.3050 | 0.962454 | ||||||||
\(288\) | 9.58486 | − | 14.0047i | 0.564793 | − | 0.825233i | ||||
\(289\) | 4.93582 | − | 8.54910i | 0.290343 | − | 0.502888i | ||||
\(290\) | 0.681561 | − | 0.181849i | 0.0400226 | − | 0.0106785i | ||||
\(291\) | −13.8753 | − | 2.33238i | −0.813382 | − | 0.136726i | ||||
\(292\) | −0.00465424 | + | 2.19349i | −0.000272369 | + | 0.128364i | ||||
\(293\) | 19.6594 | − | 11.3504i | 1.14852 | − | 0.663096i | 0.199991 | − | 0.979798i | \(-0.435909\pi\) |
0.948525 | + | 0.316702i | \(0.102575\pi\) | |||||||
\(294\) | −1.48873 | + | 3.25125i | −0.0868246 | + | 0.189617i | ||||
\(295\) | 1.46701 | − | 0.846980i | 0.0854128 | − | 0.0493131i | ||||
\(296\) | 2.38096 | + | 9.00034i | 0.138390 | + | 0.523134i | ||||
\(297\) | −5.98347 | + | 3.64860i | −0.347196 | + | 0.211713i | ||||
\(298\) | −26.0451 | − | 7.00838i | −1.50875 | − | 0.405984i | ||||
\(299\) | 1.10046 | − | 10.1029i | 0.0636411 | − | 0.584267i | ||||
\(300\) | 13.2549 | + | 10.9902i | 0.765273 | + | 0.634521i | ||||
\(301\) | −11.4109 | + | 19.7642i | −0.657712 | + | 1.13919i | ||||
\(302\) | −13.4650 | + | 13.4365i | −0.774824 | + | 0.773182i | ||||
\(303\) | −24.7108 | + | 9.21835i | −1.41960 | + | 0.529581i | ||||
\(304\) | −19.6500 | + | 11.2340i | −1.12700 | + | 0.644315i | ||||
\(305\) | 0.0771862 | − | 0.0445635i | 0.00441967 | − | 0.00255170i | ||||
\(306\) | 1.58959 | − | 21.9354i | 0.0908706 | − | 1.25396i | ||||
\(307\) | − | 9.52541i | − | 0.543644i | −0.962348 | − | 0.271822i | \(-0.912374\pi\) | ||
0.962348 | − | 0.271822i | \(-0.0876261\pi\) | |||||||
\(308\) | 7.84571 | + | 0.0166473i | 0.447051 | + | 0.000948570i | ||||
\(309\) | 20.2733 | + | 16.7370i | 1.15331 | + | 0.952132i | ||||
\(310\) | 0.622054 | + | 0.623375i | 0.0353303 | + | 0.0354053i | ||||
\(311\) | −11.5311 | −0.653871 | −0.326936 | − | 0.945047i | \(-0.606016\pi\) | ||||
−0.326936 | + | 0.945047i | \(0.606016\pi\) | |||||||
\(312\) | 8.57941 | + | 15.4400i | 0.485713 | + | 0.874118i | ||||
\(313\) | 11.8072 | 0.667380 | 0.333690 | − | 0.942683i | \(-0.391706\pi\) | ||||
0.333690 | + | 0.942683i | \(0.391706\pi\) | |||||||
\(314\) | 11.0078 | + | 11.0312i | 0.621205 | + | 0.622525i | ||||
\(315\) | 1.13131 | − | 0.980524i | 0.0637421 | − | 0.0552463i | ||||
\(316\) | 11.9886 | + | 0.0254379i | 0.674411 | + | 0.00143099i | ||||
\(317\) | 28.1140i | 1.57904i | 0.613725 | + | 0.789520i | \(0.289670\pi\) | ||||
−0.613725 | + | 0.789520i | \(0.710330\pi\) | |||||||
\(318\) | −2.79898 | − | 29.6255i | −0.156959 | − | 1.66131i | ||||
\(319\) | 3.39569 | − | 1.96050i | 0.190122 | − | 0.109767i | ||||
\(320\) | 1.37255 | + | 0.00873709i | 0.0767278 | + | 0.000488418i | ||||
\(321\) | −10.7607 | − | 28.8453i | −0.600604 | − | 1.60999i | ||||
\(322\) | 8.20687 | − | 8.18948i | 0.457351 | − | 0.456382i | ||||
\(323\) | −14.6666 | + | 25.4033i | −0.816073 | + | 1.41348i | ||||
\(324\) | −6.65849 | − | 16.7232i | −0.369916 | − | 0.929065i | ||||
\(325\) | −16.3996 | + | 7.22749i | −0.909688 | + | 0.400909i | ||||
\(326\) | 0.290563 | + | 0.0781866i | 0.0160928 | + | 0.00433036i | ||||
\(327\) | −9.43535 | + | 11.4289i | −0.521776 | + | 0.632021i | ||||
\(328\) | 15.3284 | − | 4.05499i | 0.846369 | − | 0.223899i | ||||
\(329\) | 17.7698 | − | 10.2594i | 0.979679 | − | 0.565618i | ||||
\(330\) | −0.515360 | − | 0.235981i | −0.0283696 | − | 0.0129903i | ||||
\(331\) | −12.7868 | + | 7.38247i | −0.702827 | + | 0.405777i | −0.808399 | − | 0.588634i | \(-0.799666\pi\) |
0.105573 | + | 0.994412i | \(0.466332\pi\) | |||||||
\(332\) | 0.0135648 | − | 6.39293i | 0.000744463 | − | 0.350858i | ||||
\(333\) | 9.33197 | + | 3.22857i | 0.511389 | + | 0.176924i | ||||
\(334\) | −5.89704 | + | 1.57340i | −0.322672 | + | 0.0860929i | ||||
\(335\) | 0.978027 | − | 1.69399i | 0.0534353 | − | 0.0925526i | ||||
\(336\) | −3.42478 | + | 19.8581i | −0.186837 | + | 1.08335i | ||||
\(337\) | 19.7777 | 1.07736 | 0.538680 | − | 0.842510i | \(-0.318923\pi\) | ||||
0.538680 | + | 0.842510i | \(0.318923\pi\) | |||||||
\(338\) | −18.3672 | + | 0.803976i | −0.999043 | + | 0.0437306i | ||||
\(339\) | 2.08845 | − | 12.4241i | 0.113429 | − | 0.674785i | ||||
\(340\) | 1.54236 | − | 0.886122i | 0.0836461 | − | 0.0480567i | ||||
\(341\) | 4.23931 | + | 2.44757i | 0.229571 | + | 0.132543i | ||||
\(342\) | −1.73520 | + | 23.9448i | −0.0938289 | + | 1.29479i | ||||
\(343\) | 16.1140i | 0.870073i | ||||||||
\(344\) | −5.81213 | + | 21.4182i | −0.313369 | + | 1.15479i | ||||
\(345\) | −0.784783 | + | 0.292763i | −0.0422513 | + | 0.0157618i | ||||
\(346\) | −1.16543 | − | 0.313601i | −0.0626537 | − | 0.0168593i | ||||
\(347\) | 6.96485 | + | 12.0635i | 0.373893 | + | 0.647601i | 0.990161 | − | 0.139935i | \(-0.0446895\pi\) |
−0.616268 | + | 0.787537i | \(0.711356\pi\) | |||||||
\(348\) | 3.49995 | + | 9.44313i | 0.187617 | + | 0.506205i | ||||
\(349\) | 2.76721 | − | 4.79295i | 0.148126 | − | 0.256561i | −0.782409 | − | 0.622765i | \(-0.786009\pi\) |
0.930535 | + | 0.366204i | \(0.119343\pi\) | |||||||
\(350\) | −19.7434 | − | 5.31268i | −1.05533 | − | 0.283975i | ||||
\(351\) | 18.6681 | + | 1.58152i | 0.996431 | + | 0.0844155i | ||||
\(352\) | 7.37991 | − | 1.93554i | 0.393351 | − | 0.103165i | ||||
\(353\) | −17.3485 | − | 10.0162i | −0.923368 | − | 0.533107i | −0.0386598 | − | 0.999252i | \(-0.512309\pi\) |
−0.884708 | + | 0.466146i | \(0.845642\pi\) | |||||||
\(354\) | 14.0085 | + | 19.7139i | 0.744544 | + | 1.04778i | ||||
\(355\) | −1.72356 | + | 0.995096i | −0.0914769 | + | 0.0528142i | ||||
\(356\) | 4.49011 | − | 7.73912i | 0.237975 | − | 0.410173i | ||||
\(357\) | 9.12771 | + | 24.4678i | 0.483090 | + | 1.29498i | ||||
\(358\) | 11.1316 | − | 2.97005i | 0.588324 | − | 0.156972i | ||||
\(359\) | −28.6461 | −1.51189 | −0.755943 | − | 0.654638i | \(-0.772821\pi\) | ||||
−0.755943 | + | 0.654638i | \(0.772821\pi\) | |||||||
\(360\) | 0.819696 | − | 1.20315i | 0.0432018 | − | 0.0634114i | ||||
\(361\) | 6.51018 | − | 11.2760i | 0.342641 | − | 0.593471i | ||||
\(362\) | 0.786831 | + | 0.788502i | 0.0413549 | + | 0.0414428i | ||||
\(363\) | 15.6819 | + | 2.63606i | 0.823085 | + | 0.138357i | ||||
\(364\) | −16.8954 | − | 12.4281i | −0.885558 | − | 0.651412i | ||||
\(365\) | 0.188171i | 0.00984934i | ||||||||
\(366\) | 0.737052 | + | 1.03724i | 0.0385263 | + | 0.0542174i | ||||
\(367\) | −0.296615 | − | 0.171250i | −0.0154832 | − | 0.00893920i | 0.492238 | − | 0.870460i | \(-0.336179\pi\) |
−0.507722 | + | 0.861521i | \(0.669512\pi\) | |||||||
\(368\) | 5.67862 | − | 9.73997i | 0.296019 | − | 0.507731i | ||||
\(369\) | 5.49854 | − | 15.8932i | 0.286243 | − | 0.827367i | ||||
\(370\) | 0.205891 | + | 0.771668i | 0.0107037 | + | 0.0401171i | ||||
\(371\) | 17.6673 | + | 30.6007i | 0.917242 | + | 1.58871i | ||||
\(372\) | −8.02497 | + | 9.67864i | −0.416075 | + | 0.501814i | ||||
\(373\) | 1.03183 | + | 1.78717i | 0.0534259 | + | 0.0925364i | 0.891502 | − | 0.453018i | \(-0.149653\pi\) |
−0.838076 | + | 0.545554i | \(0.816319\pi\) | |||||||
\(374\) | 6.99889 | − | 6.98406i | 0.361904 | − | 0.361137i | ||||
\(375\) | 2.28492 | + | 1.88635i | 0.117993 | + | 0.0974109i | ||||
\(376\) | 14.1539 | − | 14.0641i | 0.729934 | − | 0.725302i | ||||
\(377\) | −10.4205 | − | 1.13504i | −0.536681 | − | 0.0584578i | ||||
\(378\) | 15.4558 | + | 14.7631i | 0.794962 | + | 0.759332i | ||||
\(379\) | 14.0053 | + | 8.08598i | 0.719406 | + | 0.415349i | 0.814534 | − | 0.580116i | \(-0.196993\pi\) |
−0.0951282 | + | 0.995465i | \(0.530326\pi\) | |||||||
\(380\) | −1.68365 | + | 0.967296i | −0.0863692 | + | 0.0496212i | ||||
\(381\) | 1.25790 | − | 0.469260i | 0.0644443 | − | 0.0240409i | ||||
\(382\) | −3.65243 | + | 13.5734i | −0.186874 | + | 0.694477i | ||||
\(383\) | −13.4610 | − | 23.3152i | −0.687827 | − | 1.19135i | −0.972539 | − | 0.232738i | \(-0.925231\pi\) |
0.284712 | − | 0.958613i | \(-0.408102\pi\) | |||||||
\(384\) | 1.71897 | + | 19.5204i | 0.0877208 | + | 0.996145i | ||||
\(385\) | 0.673053 | 0.0343020 | ||||||||
\(386\) | 19.5950 | − | 5.22820i | 0.997360 | − | 0.266108i | ||||
\(387\) | 15.4169 | + | 17.7878i | 0.783688 | + | 0.904203i | ||||
\(388\) | 14.0871 | − | 8.09340i | 0.715165 | − | 0.410880i | ||||
\(389\) | 8.30017i | 0.420835i | 0.977612 | + | 0.210418i | \(0.0674824\pi\) | ||||
−0.977612 | + | 0.210418i | \(0.932518\pi\) | |||||||
\(390\) | 0.738802 | + | 1.32297i | 0.0374107 | + | 0.0669913i | ||||
\(391\) | − | 14.6111i | − | 0.738916i | ||||||
\(392\) | −1.05599 | − | 3.99177i | −0.0533353 | − | 0.201615i | ||||
\(393\) | −13.2506 | + | 16.0503i | −0.668403 | + | 0.809628i | ||||
\(394\) | 4.74835 | + | 17.7966i | 0.239218 | + | 0.896579i | ||||
\(395\) | 1.02846 | 0.0517472 | ||||||||
\(396\) | 2.66204 | − | 7.64194i | 0.133772 | − | 0.384022i | ||||
\(397\) | −4.16428 | − | 7.21275i | −0.208999 | − | 0.361998i | 0.742400 | − | 0.669957i | \(-0.233687\pi\) |
−0.951400 | + | 0.307959i | \(0.900354\pi\) | |||||||
\(398\) | −6.71775 | − | 1.80766i | −0.336730 | − | 0.0906096i | ||||
\(399\) | −9.96387 | − | 26.7092i | −0.498817 | − | 1.33713i | ||||
\(400\) | −19.8821 | − | 0.0843735i | −0.994104 | − | 0.00421868i | ||||
\(401\) | 20.1790 | + | 11.6504i | 1.00769 | + | 0.581792i | 0.910515 | − | 0.413475i | \(-0.135685\pi\) |
0.0971774 | + | 0.995267i | \(0.469019\pi\) | |||||||
\(402\) | 25.3908 | + | 11.6263i | 1.26638 | + | 0.579868i | ||||
\(403\) | −5.27745 | − | 11.9749i | −0.262889 | − | 0.596511i | ||||
\(404\) | 15.2831 | − | 26.3419i | 0.760364 | − | 1.31056i | ||||
\(405\) | −0.574248 | − | 1.43340i | −0.0285346 | − | 0.0712262i | ||||
\(406\) | −8.44688 | − | 8.46482i | −0.419211 | − | 0.420102i | ||||
\(407\) | 2.21970 | + | 3.84463i | 0.110026 | + | 0.190571i | ||||
\(408\) | 14.6660 | + | 20.7323i | 0.726077 | + | 1.02640i | ||||
\(409\) | −12.4686 | − | 21.5963i | −0.616534 | − | 1.06787i | −0.990113 | − | 0.140270i | \(-0.955203\pi\) |
0.373580 | − | 0.927598i | \(-0.378130\pi\) | |||||||
\(410\) | 1.31422 | − | 0.350650i | 0.0649047 | − | 0.0173174i | ||||
\(411\) | −0.139664 | + | 0.830860i | −0.00688914 | + | 0.0409833i | ||||
\(412\) | −30.3563 | − | 0.0644112i | −1.49555 | − | 0.00317331i | ||||
\(413\) | −24.8696 | − | 14.3585i | −1.22375 | − | 0.706534i | ||||
\(414\) | −5.21503 | − | 10.7613i | −0.256305 | − | 0.528891i | ||||
\(415\) | − | 0.548425i | − | 0.0269211i | ||||||
\(416\) | −18.9742 | − | 7.48193i | −0.930287 | − | 0.366832i | ||||
\(417\) | 6.38403 | − | 37.9784i | 0.312627 | − | 1.85981i | ||||
\(418\) | −7.64003 | + | 7.62384i | −0.373686 | + | 0.372894i | ||||
\(419\) | −5.44397 | + | 9.42924i | −0.265956 | + | 0.460649i | −0.967814 | − | 0.251668i | \(-0.919021\pi\) |
0.701858 | + | 0.712317i | \(0.252354\pi\) | |||||||
\(420\) | −0.290183 | + | 1.70417i | −0.0141595 | + | 0.0831548i | ||||
\(421\) | −20.1015 | −0.979688 | −0.489844 | − | 0.871810i | \(-0.662946\pi\) | ||||
−0.489844 | + | 0.871810i | \(0.662946\pi\) | |||||||
\(422\) | −6.34047 | − | 23.7638i | −0.308649 | − | 1.15680i | ||||
\(423\) | −4.00776 | − | 20.7807i | −0.194864 | − | 1.01039i | ||||
\(424\) | 24.2194 | + | 24.3740i | 1.17620 | + | 1.18371i | ||||
\(425\) | −22.3143 | + | 12.8832i | −1.08240 | + | 0.624926i | ||||
\(426\) | −16.4583 | − | 23.1614i | −0.797405 | − | 1.12217i | ||||
\(427\) | −1.30850 | − | 0.755464i | −0.0633229 | − | 0.0365595i | ||||
\(428\) | 30.7493 | + | 17.8402i | 1.48632 | + | 0.862338i | ||||
\(429\) | 5.87643 | + | 6.03410i | 0.283717 | + | 0.291329i | ||||
\(430\) | −0.494699 | + | 1.83844i | −0.0238565 | + | 0.0886574i | ||||
\(431\) | 14.6267 | − | 25.3343i | 0.704545 | − | 1.22031i | −0.262310 | − | 0.964984i | \(-0.584484\pi\) |
0.966855 | − | 0.255325i | \(-0.0821823\pi\) | |||||||
\(432\) | 18.2016 | + | 10.0350i | 0.875725 | + | 0.482811i | ||||
\(433\) | 8.03306 | + | 13.9137i | 0.386044 | + | 0.668648i | 0.991913 | − | 0.126916i | \(-0.0405079\pi\) |
−0.605869 | + | 0.795564i | \(0.707175\pi\) | |||||||
\(434\) | 3.87928 | − | 14.4165i | 0.186211 | − | 0.692013i | ||||
\(435\) | 0.301965 | + | 0.809449i | 0.0144781 | + | 0.0388101i | ||||
\(436\) | 0.0363114 | − | 17.1132i | 0.00173900 | − | 0.819572i | ||||
\(437\) | 15.9496i | 0.762972i | ||||||||
\(438\) | −2.67456 | + | 0.252690i | −0.127796 | + | 0.0120740i | ||||
\(439\) | 11.7386 | + | 6.77729i | 0.560253 | + | 0.323462i | 0.753247 | − | 0.657738i | \(-0.228486\pi\) |
−0.192994 | + | 0.981200i | \(0.561820\pi\) | |||||||
\(440\) | 0.632740 | − | 0.167385i | 0.0301647 | − | 0.00797979i | ||||
\(441\) | −4.13885 | − | 1.43191i | −0.197088 | − | 0.0681863i | ||||
\(442\) | −26.1265 | + | 4.00856i | −1.24271 | + | 0.190668i | ||||
\(443\) | 15.5790 | 0.740181 | 0.370090 | − | 0.928996i | \(-0.379327\pi\) | ||||
0.370090 | + | 0.928996i | \(0.379327\pi\) | |||||||
\(444\) | −10.6916 | + | 3.96266i | −0.507400 | + | 0.188060i | ||||
\(445\) | 0.383779 | − | 0.664724i | 0.0181929 | − | 0.0315110i | ||||
\(446\) | 7.53202 | + | 28.2297i | 0.356652 | + | 1.33671i | ||||
\(447\) | 5.47594 | − | 32.5762i | 0.259003 | − | 1.54080i | ||||
\(448\) | −11.5058 | − | 20.2249i | −0.543599 | − | 0.955537i | ||||
\(449\) | −11.6795 | + | 6.74317i | −0.551190 | + | 0.318230i | −0.749602 | − | 0.661889i | \(-0.769755\pi\) |
0.198412 | + | 0.980119i | \(0.436422\pi\) | |||||||
\(450\) | −11.8366 | + | 17.4531i | −0.557982 | + | 0.822749i | ||||
\(451\) | 6.54775 | − | 3.78035i | 0.308322 | − | 0.178010i | ||||
\(452\) | 7.24695 | + | 12.6138i | 0.340868 | + | 0.593304i | ||||
\(453\) | −17.9660 | − | 14.8321i | −0.844115 | − | 0.696874i | ||||
\(454\) | −6.73453 | + | 25.0274i | −0.316067 | + | 1.17459i | ||||
\(455\) | −1.45165 | − | 1.06308i | −0.0680542 | − | 0.0498381i | ||||
\(456\) | −16.0095 | − | 22.6315i | −0.749715 | − | 1.05982i | ||||
\(457\) | 11.8227 | − | 20.4775i | 0.553041 | − | 0.957895i | −0.445012 | − | 0.895525i | \(-0.646801\pi\) |
0.998053 | − | 0.0623706i | \(-0.0198661\pi\) | |||||||
\(458\) | −2.54936 | − | 2.55477i | −0.119124 | − | 0.119377i | ||||
\(459\) | 26.9280 | − | 0.645881i | 1.25689 | − | 0.0301471i | ||||
\(460\) | 0.485372 | − | 0.836585i | 0.0226306 | − | 0.0390060i | ||||
\(461\) | 10.2865 | − | 5.93893i | 0.479091 | − | 0.276604i | −0.240946 | − | 0.970538i | \(-0.577458\pi\) |
0.720038 | + | 0.693935i | \(0.244124\pi\) | |||||||
\(462\) | 0.903823 | + | 9.56641i | 0.0420496 | + | 0.445070i | ||||
\(463\) | 16.6611i | 0.774307i | 0.922015 | + | 0.387153i | \(0.126542\pi\) | ||||
−0.922015 | + | 0.387153i | \(0.873458\pi\) | |||||||
\(464\) | −10.0461 | − | 5.85710i | −0.466378 | − | 0.271909i | ||||
\(465\) | −0.686667 | + | 0.831751i | −0.0318434 | + | 0.0385715i | ||||
\(466\) | −17.0354 | + | 16.9993i | −0.789149 | + | 0.787477i | ||||
\(467\) | 15.5933 | 0.721573 | 0.360787 | − | 0.932648i | \(-0.382508\pi\) | ||||
0.360787 | + | 0.932648i | \(0.382508\pi\) | |||||||
\(468\) | −17.8119 | + | 12.2775i | −0.823354 | + | 0.567528i | ||||
\(469\) | −33.1601 | −1.53119 | ||||||||
\(470\) | 1.21165 | − | 1.20908i | 0.0558891 | − | 0.0557707i | ||||
\(471\) | −12.1512 | + | 14.7186i | −0.559897 | + | 0.678195i | ||||
\(472\) | −26.9509 | − | 7.31348i | −1.24051 | − | 0.336630i | ||||
\(473\) | 10.5825i | 0.486585i | ||||||||
\(474\) | 1.38108 | + | 14.6179i | 0.0634352 | + | 0.671423i | ||||
\(475\) | 24.3584 | − | 14.0633i | 1.11764 | − | 0.645271i | ||||
\(476\) | −26.0829 | − | 15.1328i | −1.19551 | − | 0.693613i | ||||
\(477\) | 35.7858 | − | 6.90162i | 1.63852 | − | 0.316004i | ||||
\(478\) | −17.4583 | − | 17.4954i | −0.798523 | − | 0.800219i | ||||
\(479\) | 11.6112 | − | 20.1112i | 0.530529 | − | 0.918902i | −0.468837 | − | 0.883285i | \(-0.655327\pi\) |
0.999365 | − | 0.0356177i | \(-0.0113399\pi\) | |||||||
\(480\) | 0.151016 | + | 1.67426i | 0.00689292 | + | 0.0764191i | ||||
\(481\) | 1.28511 | − | 11.7981i | 0.0585958 | − | 0.537948i | ||||
\(482\) | 8.70381 | − | 32.3458i | 0.396448 | − | 1.47331i | ||||
\(483\) | 10.9502 | + | 9.04013i | 0.498251 | + | 0.411340i | ||||
\(484\) | −15.9213 | + | 9.14719i | −0.723697 | + | 0.415781i | ||||
\(485\) | 1.20700 | − | 0.696863i | 0.0548072 | − | 0.0316429i | ||||
\(486\) | 19.6024 | − | 10.0869i | 0.889183 | − | 0.457551i | ||||
\(487\) | 1.83471 | − | 1.05927i | 0.0831385 | − | 0.0480000i | −0.457854 | − | 0.889027i | \(-0.651382\pi\) |
0.540993 | + | 0.841027i | \(0.318049\pi\) | |||||||
\(488\) | −1.41801 | − | 0.384796i | −0.0641902 | − | 0.0174189i | ||||
\(489\) | −0.0610905 | + | 0.363425i | −0.00276261 | + | 0.0164347i | ||||
\(490\) | −0.0913151 | − | 0.342245i | −0.00412520 | − | 0.0154610i | ||||
\(491\) | 9.42204 | − | 16.3195i | 0.425211 | − | 0.736487i | −0.571229 | − | 0.820790i | \(-0.693533\pi\) |
0.996440 | + | 0.0843040i | \(0.0268667\pi\) | |||||||
\(492\) | 6.74878 | + | 18.2087i | 0.304258 | + | 0.820913i | ||||
\(493\) | −15.0703 | −0.678734 | ||||||||
\(494\) | 28.5199 | − | 4.37576i | 1.28317 | − | 0.196875i | ||||
\(495\) | 0.226974 | − | 0.656054i | 0.0102017 | − | 0.0294874i | ||||
\(496\) | 0.0616089 | − | 14.5177i | 0.00276632 | − | 0.651865i | ||||
\(497\) | 29.2187 | + | 16.8694i | 1.31064 | + | 0.756696i | ||||
\(498\) | 7.79501 | − | 0.736463i | 0.349303 | − | 0.0330017i | ||||
\(499\) | − | 1.99668i | − | 0.0893837i | −0.999001 | − | 0.0446918i | \(-0.985769\pi\) | ||
0.999001 | − | 0.0446918i | \(-0.0142306\pi\) | |||||||
\(500\) | −3.42133 | − | 0.00725952i | −0.153007 | − | 0.000324655i | ||||
\(501\) | −2.61268 | − | 7.00357i | −0.116726 | − | 0.312896i | ||||
\(502\) | −0.203623 | + | 0.756720i | −0.00908814 | + | 0.0337741i | ||||
\(503\) | −5.40723 | − | 9.36559i | −0.241096 | − | 0.417591i | 0.719931 | − | 0.694046i | \(-0.244174\pi\) |
−0.961027 | + | 0.276455i | \(0.910840\pi\) | |||||||
\(504\) | −24.6117 | − | 1.83603i | −1.09629 | − | 0.0817835i | ||||
\(505\) | 1.30628 | − | 2.26254i | 0.0581287 | − | 0.100682i | ||||
\(506\) | 1.39696 | − | 5.19150i | 0.0621026 | − | 0.230790i | ||||
\(507\) | −3.14351 | − | 22.2962i | −0.139608 | − | 0.990207i | ||||
\(508\) | −0.777987 | + | 1.34093i | −0.0345176 | + | 0.0594943i | ||||
\(509\) | 15.1229 | + | 8.73124i | 0.670313 | + | 0.387005i | 0.796195 | − | 0.605040i | \(-0.206843\pi\) |
−0.125882 | + | 0.992045i | \(0.540176\pi\) | |||||||
\(510\) | 1.26191 | + | 1.77586i | 0.0558784 | + | 0.0786366i | ||||
\(511\) | 2.76261 | − | 1.59499i | 0.122211 | − | 0.0705583i | ||||
\(512\) | −15.8465 | − | 16.1520i | −0.700323 | − | 0.713826i | ||||
\(513\) | −29.3948 | + | 0.705047i | −1.29781 | + | 0.0311286i | ||||
\(514\) | −0.127949 | − | 0.479546i | −0.00564358 | − | 0.0211519i | ||||
\(515\) | −2.60415 | −0.114753 | ||||||||
\(516\) | −26.7949 | − | 4.56260i | −1.17958 | − | 0.200857i | ||||
\(517\) | 4.75731 | − | 8.23990i | 0.209226 | − | 0.362390i | ||||
\(518\) | 9.58393 | − | 9.56362i | 0.421094 | − | 0.420201i | ||||
\(519\) | 0.245029 | − | 1.45767i | 0.0107556 | − | 0.0639847i | ||||
\(520\) | −1.62908 | − | 0.638389i | −0.0714399 | − | 0.0279952i | ||||
\(521\) | 17.9116i | 0.784723i | 0.919811 | + | 0.392362i | \(0.128342\pi\) | ||||
−0.919811 | + | 0.392362i | \(0.871658\pi\) | |||||||
\(522\) | −11.0996 | + | 5.37894i | −0.485815 | + | 0.235430i | ||||
\(523\) | −23.3909 | − | 13.5047i | −1.02281 | − | 0.590521i | −0.107895 | − | 0.994162i | \(-0.534411\pi\) |
−0.914917 | + | 0.403641i | \(0.867744\pi\) | |||||||
\(524\) | 0.0509940 | − | 24.0329i | 0.00222768 | − | 1.04988i | ||||
\(525\) | 4.15102 | − | 24.6943i | 0.181165 | − | 1.07775i | ||||
\(526\) | 18.0403 | − | 4.81336i | 0.786592 | − | 0.209873i | ||||
\(527\) | −9.40719 | − | 16.2937i | −0.409784 | − | 0.709766i | ||||
\(528\) | 3.22881 | + | 8.76864i | 0.140516 | + | 0.381606i | ||||
\(529\) | 7.52770 | + | 13.0384i | 0.327291 | + | 0.566885i | ||||
\(530\) | 2.08212 | + | 2.08654i | 0.0904413 | + | 0.0906334i | ||||
\(531\) | −22.3826 | + | 19.3994i | −0.971322 | + | 0.841860i | ||||
\(532\) | 28.4722 | + | 16.5191i | 1.23443 | + | 0.716194i | ||||
\(533\) | −20.0933 | − | 2.18865i | −0.870335 | − | 0.0948011i | ||||
\(534\) | 9.96339 | + | 4.56218i | 0.431158 | + | 0.197425i | ||||
\(535\) | 2.64110 | + | 1.52484i | 0.114185 | + | 0.0659245i | ||||
\(536\) | −31.1739 | + | 8.24677i | −1.34651 | + | 0.356206i | ||||
\(537\) | 4.93185 | + | 13.2204i | 0.212825 | + | 0.570501i | ||||
\(538\) | 34.4352 | + | 9.26606i | 1.48461 | + | 0.399488i | ||||
\(539\) | −0.984465 | − | 1.70514i | −0.0424039 | − | 0.0734457i | ||||
\(540\) | 1.56327 | + | 0.857550i | 0.0672722 | + | 0.0369031i | ||||
\(541\) | 32.0116 | 1.37629 | 0.688143 | − | 0.725575i | \(-0.258426\pi\) | ||||
0.688143 | + | 0.725575i | \(0.258426\pi\) | |||||||
\(542\) | 1.99085 | + | 7.46159i | 0.0855142 | + | 0.320503i | ||||
\(543\) | −0.868560 | + | 1.05208i | −0.0372735 | + | 0.0451489i | ||||
\(544\) | −28.2841 | − | 7.73973i | −1.21267 | − | 0.331838i | ||||
\(545\) | − | 1.46807i | − | 0.0628853i | ||||||
\(546\) | 13.1607 | − | 22.0605i | 0.563226 | − | 0.944101i | ||||
\(547\) | 19.3455i | 0.827154i | 0.910469 | + | 0.413577i | \(0.135721\pi\) | ||||
−0.910469 | + | 0.413577i | \(0.864279\pi\) | |||||||
\(548\) | −0.484639 | − | 0.843547i | −0.0207027 | − | 0.0360345i | ||||
\(549\) | −1.17765 | + | 1.02069i | −0.0502609 | + | 0.0435619i | ||||
\(550\) | −9.16029 | + | 2.44408i | −0.390596 | + | 0.104216i | ||||
\(551\) | 16.4509 | 0.700831 | ||||||||
\(552\) | 12.5425 | + | 5.77539i | 0.533846 | + | 0.245817i | ||||
\(553\) | −8.71747 | − | 15.0991i | −0.370705 | − | 0.642079i | ||||
\(554\) | −6.92224 | + | 25.7250i | −0.294098 | + | 1.09295i | ||||
\(555\) | −0.916464 | + | 0.341886i | −0.0389017 | + | 0.0145123i | ||||
\(556\) | 22.1527 | + | 38.5583i | 0.939484 | + | 1.63524i | ||||
\(557\) | 21.7309 | + | 12.5463i | 0.920767 | + | 0.531605i | 0.883880 | − | 0.467714i | \(-0.154922\pi\) |
0.0368873 | + | 0.999319i | \(0.488256\pi\) | |||||||
\(558\) | −12.7442 | − | 8.64297i | −0.539503 | − | 0.365886i | ||||
\(559\) | 16.7150 | − | 22.8245i | 0.706970 | − | 0.965372i | ||||
\(560\) | −0.990718 | − | 1.73291i | −0.0418655 | − | 0.0732290i | ||||
\(561\) | 9.33841 | + | 7.70950i | 0.394268 | + | 0.325495i | ||||
\(562\) | 8.42055 | − | 8.40271i | 0.355200 | − | 0.354447i | ||||
\(563\) | 10.4526 | + | 18.1045i | 0.440526 | + | 0.763014i | 0.997729 | − | 0.0673628i | \(-0.0214585\pi\) |
−0.557202 | + | 0.830377i | \(0.688125\pi\) | |||||||
\(564\) | 18.8123 | + | 15.5981i | 0.792140 | + | 0.656797i | ||||
\(565\) | 0.623981 | + | 1.08077i | 0.0262511 | + | 0.0454682i | ||||
\(566\) | 6.35311 | + | 23.8111i | 0.267041 | + | 1.00086i | ||||
\(567\) | −16.1767 | + | 20.5806i | −0.679359 | + | 0.864304i | ||||
\(568\) | 31.6639 | + | 8.59243i | 1.32859 | + | 0.360530i | ||||
\(569\) | −10.2495 | − | 5.91753i | −0.429680 | − | 0.248076i | 0.269530 | − | 0.962992i | \(-0.413132\pi\) |
−0.699210 | + | 0.714916i | \(0.746465\pi\) | |||||||
\(570\) | −1.37751 | − | 1.93854i | −0.0576976 | − | 0.0811967i | ||||
\(571\) | − | 10.0564i | − | 0.420848i | −0.977610 | − | 0.210424i | \(-0.932516\pi\) | ||
0.977610 | − | 0.210424i | \(-0.0674844\pi\) | |||||||
\(572\) | −9.66631 | − | 1.07366i | −0.404169 | − | 0.0448919i | ||||
\(573\) | −16.9771 | − | 2.85379i | −0.709230 | − | 0.119219i | ||||
\(574\) | −16.2877 | − | 16.3223i | −0.679836 | − | 0.681280i | ||||
\(575\) | −7.00506 | + | 12.1331i | −0.292131 | + | 0.505986i | ||||
\(576\) | −23.5942 | + | 4.39477i | −0.983091 | + | 0.183116i | ||||
\(577\) | 11.4248 | 0.475621 | 0.237811 | − | 0.971312i | \(-0.423570\pi\) | ||||
0.237811 | + | 0.971312i | \(0.423570\pi\) | |||||||
\(578\) | −13.4887 | + | 3.59897i | −0.561058 | + | 0.149697i | ||||
\(579\) | 8.68155 | + | 23.2719i | 0.360793 | + | 0.967145i | ||||
\(580\) | −0.862879 | − | 0.500628i | −0.0358291 | − | 0.0207874i | ||||
\(581\) | −8.05161 | + | 4.64860i | −0.334037 | + | 0.192856i | ||||
\(582\) | 11.5257 | + | 16.2199i | 0.477755 | + | 0.672335i | ||||
\(583\) | 14.1897 | + | 8.19240i | 0.587676 | + | 0.339295i | ||||
\(584\) | 2.20047 | − | 2.18650i | 0.0910560 | − | 0.0904782i | ||||
\(585\) | −1.52577 | + | 1.05648i | −0.0630829 | + | 0.0436800i | ||||
\(586\) | −31.0010 | − | 8.34195i | −1.28064 | − | 0.344603i | ||||
\(587\) | −10.2232 | + | 17.7070i | −0.421955 | + | 0.730848i | −0.996131 | − | 0.0878845i | \(-0.971989\pi\) |
0.574176 | + | 0.818732i | \(0.305323\pi\) | |||||||
\(588\) | 4.74185 | − | 1.75749i | 0.195551 | − | 0.0724778i | ||||
\(589\) | 10.2689 | + | 17.7863i | 0.423124 | + | 0.732873i | ||||
\(590\) | −2.31333 | − | 0.622487i | −0.0952384 | − | 0.0256274i | ||||
\(591\) | −21.1360 | + | 7.88476i | −0.869417 | + | 0.324336i | ||||
\(592\) | 6.63145 | − | 11.3743i | 0.272551 | − | 0.467479i | ||||
\(593\) | − | 0.947862i | − | 0.0389240i | −0.999811 | − | 0.0194620i | \(-0.993805\pi\) | ||
0.999811 | − | 0.0194620i | \(-0.00619534\pi\) | |||||||
\(594\) | 9.62959 | + | 2.34509i | 0.395107 | + | 0.0962201i | ||||
\(595\) | −2.24030 | − | 1.29344i | −0.0918432 | − | 0.0530257i | ||||
\(596\) | 19.0016 | + | 33.0736i | 0.778336 | + | 1.35475i | ||||
\(597\) | 1.41240 | − | 8.40231i | 0.0578055 | − | 0.343884i | ||||
\(598\) | −11.2129 | + | 8.99057i | −0.458530 | + | 0.367652i | ||||
\(599\) | 9.95044 | 0.406564 | 0.203282 | − | 0.979120i | \(-0.434839\pi\) | ||||
0.203282 | + | 0.979120i | \(0.434839\pi\) | |||||||
\(600\) | −2.23898 | − | 24.2475i | −0.0914059 | − | 0.989901i | ||||
\(601\) | −11.7822 | + | 20.4074i | −0.480606 | + | 0.832434i | −0.999752 | − | 0.0222511i | \(-0.992917\pi\) |
0.519146 | + | 0.854685i | \(0.326250\pi\) | |||||||
\(602\) | 31.1839 | − | 8.32026i | 1.27096 | − | 0.339109i | ||||
\(603\) | −11.1826 | + | 32.3226i | −0.455390 | + | 1.31628i | ||||
\(604\) | 26.9014 | + | 0.0570805i | 1.09460 | + | 0.00232257i | ||||
\(605\) | −1.36416 | + | 0.787597i | −0.0554609 | + | 0.0320204i | ||||
\(606\) | 33.9127 | + | 15.5284i | 1.37761 | + | 0.630800i | ||||
\(607\) | −22.3427 | + | 12.8996i | −0.906862 | + | 0.523577i | −0.879420 | − | 0.476046i | \(-0.842069\pi\) |
−0.0274417 | + | 0.999623i | \(0.508736\pi\) | |||||||
\(608\) | 30.8751 | + | 8.44874i | 1.25215 | + | 0.342642i | ||||
\(609\) | 9.32426 | − | 11.2944i | 0.377838 | − | 0.457670i | ||||
\(610\) | −0.121715 | − | 0.0327519i | −0.00492810 | − | 0.00132608i | ||||
\(611\) | −23.2755 | + | 10.2577i | −0.941624 | + | 0.414983i | ||||
\(612\) | −23.5466 | + | 20.3209i | −0.951814 | + | 0.821423i | ||||
\(613\) | −1.58675 | + | 2.74834i | −0.0640884 | + | 0.111004i | −0.896289 | − | 0.443470i | \(-0.853747\pi\) |
0.832201 | + | 0.554474i | \(0.187081\pi\) | |||||||
\(614\) | −9.53551 | + | 9.51530i | −0.384822 | + | 0.384006i | ||||
\(615\) | 0.582264 | + | 1.56082i | 0.0234791 | + | 0.0629384i | ||||
\(616\) | −7.82071 | − | 7.87066i | −0.315106 | − | 0.317118i | ||||
\(617\) | 11.3868 | − | 6.57419i | 0.458417 | − | 0.264667i | −0.252961 | − | 0.967476i | \(-0.581405\pi\) |
0.711378 | + | 0.702809i | \(0.248071\pi\) | |||||||
\(618\) | −3.49703 | − | 37.0140i | −0.140671 | − | 1.48892i | ||||
\(619\) | 6.20282i | 0.249312i | 0.992200 | + | 0.124656i | \(0.0397828\pi\) | ||||
−0.992200 | + | 0.124656i | \(0.960217\pi\) | |||||||
\(620\) | 0.00264260 | − | 1.24543i | 0.000106129 | − | 0.0500175i | ||||
\(621\) | 12.5045 | − | 7.62502i | 0.501790 | − | 0.305981i | ||||
\(622\) | 11.5189 | + | 11.5434i | 0.461866 | + | 0.462847i | ||||
\(623\) | −13.0121 | −0.521317 | ||||||||
\(624\) | 6.88607 | − | 24.0121i | 0.275664 | − | 0.961254i | ||||
\(625\) | 24.5593 | 0.982372 | ||||||||
\(626\) | −11.7946 | − | 11.8197i | −0.471408 | − | 0.472409i | ||||
\(627\) | −10.1939 | − | 8.41573i | −0.407104 | − | 0.336092i | ||||
\(628\) | 0.0467630 | − | 22.0389i | 0.00186605 | − | 0.879449i | ||||
\(629\) | − | 17.0628i | − | 0.680337i | ||||||
\(630\) | −2.11167 | − | 0.153026i | −0.0841311 | − | 0.00609669i | ||||
\(631\) | −25.3236 | + | 14.6206i | −1.00812 | + | 0.582037i | −0.910640 | − | 0.413200i | \(-0.864411\pi\) |
−0.0974780 | + | 0.995238i | \(0.531078\pi\) | |||||||
\(632\) | −11.9504 | − | 12.0267i | −0.475362 | − | 0.478397i | ||||
\(633\) | 28.2228 | − | 10.5285i | 1.12176 | − | 0.418471i | ||||
\(634\) | 28.1438 | − | 28.0842i | 1.11773 | − | 1.11536i | ||||
\(635\) | −0.0664961 | + | 0.115175i | −0.00263882 | + | 0.00457057i | ||||
\(636\) | −26.8609 | + | 32.3960i | −1.06510 | + | 1.28458i | ||||
\(637\) | −0.569961 | + | 5.23261i | −0.0225827 | + | 0.207324i | ||||
\(638\) | −5.35467 | − | 1.44087i | −0.211994 | − | 0.0570446i | ||||
\(639\) | 26.2968 | − | 22.7918i | 1.04028 | − | 0.901631i | ||||
\(640\) | −1.36234 | − | 1.38273i | −0.0538514 | − | 0.0546573i | ||||
\(641\) | −16.5253 | + | 9.54090i | −0.652711 | + | 0.376843i | −0.789494 | − | 0.613758i | \(-0.789657\pi\) |
0.136783 | + | 0.990601i | \(0.456324\pi\) | |||||||
\(642\) | −18.1266 | + | 39.5868i | −0.715398 | + | 1.56237i | ||||
\(643\) | −8.29436 | + | 4.78875i | −0.327098 | + | 0.188850i | −0.654552 | − | 0.756017i | \(-0.727143\pi\) |
0.327454 | + | 0.944867i | \(0.393809\pi\) | |||||||
\(644\) | −16.3963 | − | 0.0347904i | −0.646106 | − | 0.00137093i | ||||
\(645\) | −2.29945 | − | 0.386529i | −0.0905408 | − | 0.0152196i | ||||
\(646\) | 40.0813 | − | 10.6942i | 1.57698 | − | 0.420758i | ||||
\(647\) | −15.4279 | + | 26.7218i | −0.606532 | + | 1.05054i | 0.385275 | + | 0.922802i | \(0.374106\pi\) |
−0.991807 | + | 0.127743i | \(0.959227\pi\) | |||||||
\(648\) | −10.0895 | + | 23.3710i | −0.396353 | + | 0.918098i | ||||
\(649\) | −13.3161 | −0.522704 | ||||||||
\(650\) | 23.6174 | + | 9.19721i | 0.926350 | + | 0.360744i | ||||
\(651\) | 18.0316 | + | 3.03104i | 0.706714 | + | 0.118796i | ||||
\(652\) | −0.211985 | − | 0.368975i | −0.00830198 | − | 0.0144502i | ||||
\(653\) | −3.95794 | − | 2.28512i | −0.154886 | − | 0.0894235i | 0.420554 | − | 0.907268i | \(-0.361836\pi\) |
−0.575440 | + | 0.817844i | \(0.695169\pi\) | |||||||
\(654\) | 20.8664 | − | 1.97143i | 0.815940 | − | 0.0770890i | ||||
\(655\) | − | 2.06169i | − | 0.0805571i | ||||||
\(656\) | −19.3714 | − | 11.2940i | −0.756326 | − | 0.440955i | ||||
\(657\) | −0.623073 | − | 3.23071i | −0.0243084 | − | 0.126042i | ||||
\(658\) | −28.0212 | − | 7.54012i | −1.09238 | − | 0.293944i | ||||
\(659\) | 16.2707 | + | 28.1817i | 0.633817 | + | 1.09780i | 0.986764 | + | 0.162160i | \(0.0518461\pi\) |
−0.352947 | + | 0.935643i | \(0.614821\pi\) | |||||||
\(660\) | 0.278582 | + | 0.751637i | 0.0108438 | + | 0.0292574i | ||||
\(661\) | −0.410505 | + | 0.711016i | −0.0159668 | + | 0.0276553i | −0.873898 | − | 0.486109i | \(-0.838416\pi\) |
0.857932 | + | 0.513764i | \(0.171749\pi\) | |||||||
\(662\) | 20.1635 | + | 5.42574i | 0.783678 | + | 0.210877i | ||||
\(663\) | −7.96405 | − | 31.3778i | −0.309298 | − | 1.21861i | ||||
\(664\) | −6.41326 | + | 6.37256i | −0.248883 | + | 0.247303i | ||||
\(665\) | 2.44552 | + | 1.41192i | 0.0948333 | + | 0.0547520i | ||||
\(666\) | −6.09008 | − | 12.5670i | −0.235986 | − | 0.486962i | ||||
\(667\) | −7.09648 | + | 4.09715i | −0.274777 | + | 0.158642i | ||||
\(668\) | 7.46586 | + | 4.33156i | 0.288863 | + | 0.167593i | ||||
\(669\) | −33.5267 | + | 12.5071i | −1.29622 | + | 0.483553i | ||||
\(670\) | −2.67278 | + | 0.713130i | −0.103258 | + | 0.0275506i | ||||
\(671\) | −0.700623 | −0.0270473 | ||||||||
\(672\) | 23.3003 | − | 16.4086i | 0.898828 | − | 0.632975i | ||||
\(673\) | −17.2140 | + | 29.8155i | −0.663551 | + | 1.14930i | 0.316124 | + | 0.948718i | \(0.397618\pi\) |
−0.979676 | + | 0.200587i | \(0.935715\pi\) | |||||||
\(674\) | −19.7567 | − | 19.7987i | −0.761000 | − | 0.762617i | ||||
\(675\) | −22.6708 | − | 12.3738i | −0.872598 | − | 0.476270i | ||||
\(676\) | 19.1525 | + | 17.5835i | 0.736635 | + | 0.676290i | ||||
\(677\) | 30.8951i | 1.18739i | 0.804689 | + | 0.593697i | \(0.202332\pi\) | ||||
−0.804689 | + | 0.593697i | \(0.797668\pi\) | |||||||
\(678\) | −14.5235 | + | 10.3203i | −0.557772 | + | 0.396347i | ||||
\(679\) | −20.4618 | − | 11.8136i | −0.785250 | − | 0.453365i | ||||
\(680\) | −2.42778 | − | 0.658811i | −0.0931012 | − | 0.0252643i | ||||
\(681\) | −31.3033 | − | 5.26197i | −1.19954 | − | 0.201639i | ||||
\(682\) | −1.78465 | − | 6.68877i | −0.0683377 | − | 0.256126i | ||||
\(683\) | 6.55427 | + | 11.3523i | 0.250792 | + | 0.434385i | 0.963744 | − | 0.266828i | \(-0.0859756\pi\) |
−0.712952 | + | 0.701213i | \(0.752642\pi\) | |||||||
\(684\) | 25.7036 | − | 22.1824i | 0.982801 | − | 0.848165i | ||||
\(685\) | −0.0417287 | − | 0.0722762i | −0.00159437 | − | 0.00276153i | ||||
\(686\) | 16.1311 | − | 16.0969i | 0.615887 | − | 0.614582i | ||||
\(687\) | 2.81416 | − | 3.40876i | 0.107367 | − | 0.130052i | ||||
\(688\) | 27.2469 | − | 15.5772i | 1.03878 | − | 0.593876i | ||||
\(689\) | −17.6645 | − | 40.0819i | −0.672964 | − | 1.52700i | ||||
\(690\) | 1.07702 | + | 0.493163i | 0.0410016 | + | 0.0187744i | ||||
\(691\) | 12.8151 | + | 7.39882i | 0.487510 | + | 0.281464i | 0.723541 | − | 0.690281i | \(-0.242513\pi\) |
−0.236031 | + | 0.971746i | \(0.575847\pi\) | |||||||
\(692\) | 0.850256 | + | 1.47993i | 0.0323219 | + | 0.0562585i | ||||
\(693\) | −11.5556 | + | 2.22861i | −0.438963 | + | 0.0846580i | ||||
\(694\) | 5.11881 | − | 19.0229i | 0.194307 | − | 0.722100i | ||||
\(695\) | 1.90741 | + | 3.30373i | 0.0723521 | + | 0.125317i | ||||
\(696\) | 5.95691 | − | 12.9368i | 0.225796 | − | 0.490367i | ||||
\(697\) | −29.0594 | −1.10070 | ||||||||
\(698\) | −7.56231 | + | 2.01772i | −0.286238 | + | 0.0763718i | ||||
\(699\) | −22.7298 | − | 18.7650i | −0.859721 | − | 0.709758i | ||||
\(700\) | 14.4041 | + | 25.0714i | 0.544425 | + | 0.947609i | ||||
\(701\) | − | 6.32038i | − | 0.238718i | −0.992851 | − | 0.119359i | \(-0.961916\pi\) | ||
0.992851 | − | 0.119359i | \(-0.0380839\pi\) | |||||||
\(702\) | −17.0651 | − | 20.2678i | −0.644081 | − | 0.764957i | ||||
\(703\) | 18.6258i | 0.702486i | ||||||||
\(704\) | −9.30968 | − | 5.45425i | −0.350872 | − | 0.205565i | ||||
\(705\) | 1.61667 | + | 1.33467i | 0.0608871 | + | 0.0502665i | ||||
\(706\) | 7.30330 | + | 27.3724i | 0.274863 | + | 1.03017i | ||||
\(707\) | −44.2895 | −1.66568 | ||||||||
\(708\) | 5.74118 | − | 33.7164i | 0.215767 | − | 1.26714i | ||||
\(709\) | 0.165850 | + | 0.287260i | 0.00622862 | + | 0.0107883i | 0.869123 | − | 0.494596i | \(-0.164684\pi\) |
−0.862894 | + | 0.505384i | \(0.831351\pi\) | |||||||
\(710\) | 2.71788 | + | 0.731345i | 0.102000 | + | 0.0274469i | ||||
\(711\) | −17.6575 | + | 3.40542i | −0.662210 | + | 0.127713i | ||||
\(712\) | −12.2327 | + | 3.23604i | −0.458439 | + | 0.121276i | ||||
\(713\) | −8.85951 | − | 5.11504i | −0.331791 | − | 0.191560i | ||||
\(714\) | 15.3758 | − | 33.5793i | 0.575423 | − | 1.25667i | ||||
\(715\) | −0.829428 | − | 0.0903452i | −0.0310188 | − | 0.00337872i | ||||
\(716\) | −14.0930 | − | 8.17652i | −0.526680 | − | 0.305571i | ||||
\(717\) | 19.2717 | − | 23.3435i | 0.719714 | − | 0.871781i | ||||
\(718\) | 28.6157 | + | 28.6765i | 1.06793 | + | 1.07020i | ||||
\(719\) | −22.8751 | − | 39.6208i | −0.853096 | − | 1.47761i | −0.878400 | − | 0.477926i | \(-0.841389\pi\) |
0.0253041 | − | 0.999680i | \(-0.491945\pi\) | |||||||
\(720\) | −2.02325 | + | 0.381304i | −0.0754020 | + | 0.0142104i | ||||
\(721\) | 22.0735 | + | 38.2324i | 0.822059 | + | 1.42385i | ||||
\(722\) | −17.7912 | + | 4.74691i | −0.662119 | + | 0.176662i | ||||
\(723\) | 40.4569 | + | 6.80065i | 1.50461 | + | 0.252919i | ||||
\(724\) | 0.00334260 | − | 1.57533i | 0.000124227 | − | 0.0585467i | ||||
\(725\) | 12.5145 | + | 7.22523i | 0.464776 | + | 0.268338i | ||||
\(726\) | −13.0264 | − | 18.3318i | −0.483454 | − | 0.680355i | ||||
\(727\) | − | 46.7652i | − | 1.73443i | −0.497936 | − | 0.867214i | \(-0.665909\pi\) | ||
0.497936 | − | 0.867214i | \(-0.334091\pi\) | |||||||
\(728\) | 4.43612 | + | 29.3282i | 0.164413 | + | 1.08698i | ||||
\(729\) | 14.6055 | + | 22.7086i | 0.540945 | + | 0.841058i | ||||
\(730\) | 0.188371 | − | 0.187972i | 0.00697192 | − | 0.00695714i | ||||
\(731\) | 20.3369 | − | 35.2246i | 0.752188 | − | 1.30283i | ||||
\(732\) | 0.302070 | − | 1.77397i | 0.0111648 | − | 0.0655679i | ||||
\(733\) | 6.19718 | 0.228898 | 0.114449 | − | 0.993429i | \(-0.463490\pi\) | ||||
0.114449 | + | 0.993429i | \(0.463490\pi\) | |||||||
\(734\) | 0.124868 | + | 0.467998i | 0.00460895 | + | 0.0172741i | ||||
\(735\) | 0.406464 | − | 0.151631i | 0.0149926 | − | 0.00559300i | ||||
\(736\) | −15.4229 | + | 4.04499i | −0.568495 | + | 0.149100i | ||||
\(737\) | −13.3164 | + | 7.68822i | −0.490516 | + | 0.283199i | ||||
\(738\) | −21.4028 | + | 10.3720i | −0.787847 | + | 0.381797i | ||||
\(739\) | 19.7031 | + | 11.3756i | 0.724790 | + | 0.418458i | 0.816513 | − | 0.577327i | \(-0.195904\pi\) |
−0.0917228 | + | 0.995785i | \(0.529237\pi\) | |||||||
\(740\) | 0.566814 | − | 0.976958i | 0.0208365 | − | 0.0359137i | ||||
\(741\) | 8.69360 | + | 34.2522i | 0.319367 | + | 1.25829i | ||||
\(742\) | 12.9846 | − | 48.2543i | 0.476679 | − | 1.77147i | ||||
\(743\) | 2.25184 | − | 3.90030i | 0.0826119 | − | 0.143088i | −0.821759 | − | 0.569835i | \(-0.807007\pi\) |
0.904371 | + | 0.426747i | \(0.140340\pi\) | |||||||
\(744\) | 17.7054 | − | 1.63488i | 0.649110 | − | 0.0599378i | ||||
\(745\) | 1.63609 | + | 2.83379i | 0.0599417 | + | 0.103822i | ||||
\(746\) | 0.758339 | − | 2.81820i | 0.0277648 | − | 0.103181i | ||||
\(747\) | 1.81594 | + | 9.41590i | 0.0664419 | + | 0.344510i | ||||
\(748\) | −13.9829 | − | 0.0296695i | −0.511266 | − | 0.00108482i | ||||
\(749\) | − | 51.6998i | − | 1.88907i | ||||||
\(750\) | −0.394136 | − | 4.17169i | −0.0143918 | − | 0.152329i | ||||
\(751\) | 7.67230 | + | 4.42960i | 0.279966 | + | 0.161639i | 0.633408 | − | 0.773818i | \(-0.281655\pi\) |
−0.353442 | + | 0.935456i | \(0.614989\pi\) | |||||||
\(752\) | −28.2180 | − | 0.119749i | −1.02900 | − | 0.00436678i | ||||
\(753\) | −0.946477 | − | 0.159099i | −0.0344915 | − | 0.00579790i | ||||
\(754\) | 9.27314 | + | 11.5653i | 0.337708 | + | 0.421185i | ||||
\(755\) | 2.30777 | 0.0839884 | ||||||||
\(756\) | −0.660678 | − | 30.2197i | −0.0240286 | − | 1.09908i | ||||
\(757\) | 11.7497 | − | 20.3511i | 0.427051 | − | 0.739674i | −0.569559 | − | 0.821951i | \(-0.692886\pi\) |
0.996610 | + | 0.0822768i | \(0.0262192\pi\) | |||||||
\(758\) | −5.89591 | − | 22.0976i | −0.214149 | − | 0.802620i | ||||
\(759\) | 6.49334 | + | 1.09151i | 0.235693 | + | 0.0396191i | ||||
\(760\) | 2.65018 | + | 0.719162i | 0.0961322 | + | 0.0260868i | ||||
\(761\) | 46.2699 | − | 26.7140i | 1.67728 | − | 0.968381i | 0.713903 | − | 0.700244i | \(-0.246926\pi\) |
0.963381 | − | 0.268136i | \(-0.0864077\pi\) | |||||||
\(762\) | −1.72633 | − | 0.790475i | −0.0625382 | − | 0.0286359i | ||||
\(763\) | −21.5533 | + | 12.4438i | −0.780281 | + | 0.450495i | ||||
\(764\) | 17.2364 | − | 9.90272i | 0.623590 | − | 0.358268i | ||||
\(765\) | −2.01626 | + | 1.74753i | −0.0728982 | + | 0.0631820i | ||||
\(766\) | −9.89318 | + | 36.7658i | −0.357455 | + | 1.32840i | ||||
\(767\) | 28.7203 | + | 21.0327i | 1.03703 | + | 0.759449i | ||||
\(768\) | 17.8239 | − | 21.2204i | 0.643166 | − | 0.765727i | ||||
\(769\) | 20.5718 | − | 35.6313i | 0.741836 | − | 1.28490i | −0.209822 | − | 0.977740i | \(-0.567288\pi\) |
0.951658 | − | 0.307159i | \(-0.0993782\pi\) | |||||||
\(770\) | −0.672339 | − | 0.673767i | −0.0242294 | − | 0.0242809i | ||||
\(771\) | 0.569529 | − | 0.212462i | 0.0205111 | − | 0.00765165i | ||||
\(772\) | −24.8080 | − | 14.3932i | −0.892858 | − | 0.518021i | ||||
\(773\) | 8.85245 | − | 5.11097i | 0.318401 | − | 0.183829i | −0.332279 | − | 0.943181i | \(-0.607817\pi\) |
0.650679 | + | 0.759352i | \(0.274484\pi\) | |||||||
\(774\) | 2.40605 | − | 33.2022i | 0.0864837 | − | 1.19343i | ||||
\(775\) | 18.0405i | 0.648033i | ||||||||
\(776\) | −22.1742 | − | 6.01725i | −0.796006 | − | 0.216007i | ||||
\(777\) | 12.7876 | + | 10.5570i | 0.458751 | + | 0.378730i | ||||
\(778\) | 8.30897 | − | 8.29136i | 0.297891 | − | 0.297260i | ||||
\(779\) | 31.7214 | 1.13654 | ||||||||
\(780\) | 0.586357 | − | 2.06115i | 0.0209949 | − | 0.0738011i | ||||
\(781\) | 15.6448 | 0.559815 | ||||||||
\(782\) | −14.6266 | + | 14.5956i | −0.523046 | + | 0.521938i | ||||
\(783\) | −7.86467 | − | 12.8976i | −0.281061 | − | 0.460921i | ||||
\(784\) | −2.94113 | + | 5.04463i | −0.105041 | + | 0.180165i | ||||
\(785\) | − | 1.89064i | − | 0.0674797i | ||||||
\(786\) | 29.3038 | − | 2.76859i | 1.04523 | − | 0.0987522i | ||||
\(787\) | −4.04768 | + | 2.33693i | −0.144284 | + | 0.0833026i | −0.570404 | − | 0.821364i | \(-0.693213\pi\) |
0.426120 | + | 0.904667i | \(0.359880\pi\) | |||||||
\(788\) | 13.0721 | − | 22.5311i | 0.465676 | − | 0.802637i | ||||
\(789\) | 7.99271 | + | 21.4253i | 0.284548 | + | 0.762762i | ||||
\(790\) | −1.02736 | − | 1.02955i | −0.0365520 | − | 0.0366296i | ||||
\(791\) | 10.5781 | − | 18.3218i | 0.376113 | − | 0.651447i | ||||
\(792\) | −10.3093 | + | 4.96897i | −0.366323 | + | 0.176564i | ||||
\(793\) | 1.51111 | + | 1.10663i | 0.0536610 | + | 0.0392975i | ||||
\(794\) | −3.06054 | + | 11.3738i | −0.108614 | + | 0.403641i | ||||
\(795\) | −2.29839 | + | 2.78401i | −0.0815154 | + | 0.0987385i | ||||
\(796\) | 4.90105 | + | 8.53061i | 0.173713 | + | 0.302359i | ||||
\(797\) | −17.0922 | + | 9.86819i | −0.605437 | + | 0.349549i | −0.771178 | − | 0.636620i | \(-0.780332\pi\) |
0.165740 | + | 0.986169i | \(0.446999\pi\) | |||||||
\(798\) | −16.7843 | + | 36.6553i | −0.594157 | + | 1.29758i | ||||
\(799\) | −31.6700 | + | 18.2847i | −1.12040 | + | 0.646865i | ||||
\(800\) | 19.7765 | + | 19.9874i | 0.699205 | + | 0.706663i | ||||
\(801\) | −4.38806 | + | 12.6834i | −0.155044 | + | 0.448146i | ||||
\(802\) | −8.49489 | − | 31.8384i | −0.299965 | − | 1.12425i | ||||
\(803\) | 0.739603 | − | 1.28103i | 0.0261000 | − | 0.0452066i | ||||
\(804\) | −13.7252 | − | 37.0317i | −0.484051 | − | 1.30601i | ||||
\(805\) | −1.40658 | −0.0495754 | ||||||||
\(806\) | −6.71573 | + | 17.2452i | −0.236551 | + | 0.607437i | ||||
\(807\) | −7.23996 | + | 43.0703i | −0.254859 | + | 1.51615i | ||||
\(808\) | −41.6367 | + | 11.0146i | −1.46478 | + | 0.387493i | ||||
\(809\) | 9.80678 | + | 5.66195i | 0.344788 | + | 0.199063i | 0.662387 | − | 0.749162i | \(-0.269543\pi\) |
−0.317599 | + | 0.948225i | \(0.602877\pi\) | |||||||
\(810\) | −0.861281 | + | 2.00673i | −0.0302623 | + | 0.0705094i | ||||
\(811\) | − | 41.4661i | − | 1.45607i | −0.685539 | − | 0.728036i | \(-0.740434\pi\) | ||
0.685539 | − | 0.728036i | \(-0.259566\pi\) | |||||||
\(812\) | −0.0358838 | + | 16.9117i | −0.00125928 | + | 0.593483i | ||||
\(813\) | −8.86169 | + | 3.30585i | −0.310793 | + | 0.115941i | ||||
\(814\) | 1.63136 | − | 6.06260i | 0.0571793 | − | 0.212494i | ||||
\(815\) | −0.0182525 | − | 0.0316142i | −0.000639356 | − | 0.00110740i | ||||
\(816\) | 6.10378 | − | 35.3918i | 0.213675 | − | 1.23896i | ||||
\(817\) | −22.1999 | + | 38.4513i | −0.776676 | + | 1.34524i | ||||
\(818\) | −9.16380 | + | 34.0552i | −0.320405 | + | 1.19071i | ||||
\(819\) | 28.4434 | + | 13.4454i | 0.993891 | + | 0.469819i | ||||
\(820\) | −1.66385 | − | 0.965336i | −0.0581041 | − | 0.0337110i | ||||
\(821\) | −15.9432 | − | 9.20482i | −0.556422 | − | 0.321250i | 0.195286 | − | 0.980746i | \(-0.437436\pi\) |
−0.751708 | + | 0.659496i | \(0.770770\pi\) | |||||||
\(822\) | 0.971257 | − | 0.690166i | 0.0338765 | − | 0.0240723i | ||||
\(823\) | 30.0338 | − | 17.3400i | 1.04691 | − | 0.604434i | 0.125128 | − | 0.992141i | \(-0.460066\pi\) |
0.921783 | + | 0.387706i | \(0.126732\pi\) | |||||||
\(824\) | 30.2596 | + | 30.4528i | 1.05414 | + | 1.06087i | ||||
\(825\) | −4.05846 | − | 10.8791i | −0.141297 | − | 0.378763i | ||||
\(826\) | 10.4695 | + | 39.2392i | 0.364281 | + | 1.36531i | ||||
\(827\) | 6.14558 | 0.213703 | 0.106851 | − | 0.994275i | \(-0.465923\pi\) | ||||
0.106851 | + | 0.994275i | \(0.465923\pi\) | |||||||
\(828\) | −5.56325 | + | 15.9705i | −0.193336 | + | 0.555012i | ||||
\(829\) | 5.16391 | − | 8.94415i | 0.179350 | − | 0.310643i | −0.762308 | − | 0.647214i | \(-0.775934\pi\) |
0.941658 | + | 0.336571i | \(0.109267\pi\) | |||||||
\(830\) | −0.549007 | + | 0.547843i | −0.0190563 | + | 0.0190159i | ||||
\(831\) | −32.1758 | − | 5.40863i | −1.11617 | − | 0.187623i | ||||
\(832\) | 11.4642 | + | 26.4683i | 0.397450 | + | 0.917624i | ||||
\(833\) | 7.56755i | 0.262200i | ||||||||
\(834\) | −44.3959 | + | 31.5473i | −1.53731 | + | 1.09239i | ||||
\(835\) | 0.641253 | + | 0.370228i | 0.0221915 | + | 0.0128123i | ||||
\(836\) | 15.2638 | + | 0.0323874i | 0.527911 | + | 0.00112014i | ||||
\(837\) | 9.03528 | − | 16.5540i | 0.312305 | − | 0.572190i | ||||
\(838\) | 14.8774 | − | 3.96948i | 0.513932 | − | 0.137124i | ||||
\(839\) | −24.3150 | − | 42.1148i | −0.839446 | − | 1.45396i | −0.890358 | − | 0.455260i | \(-0.849546\pi\) |
0.0509123 | − | 0.998703i | \(-0.483787\pi\) | |||||||
\(840\) | 1.99585 | − | 1.41187i | 0.0688633 | − | 0.0487140i | ||||
\(841\) | −10.2741 | − | 17.7952i | −0.354278 | − | 0.613628i | ||||
\(842\) | 20.0802 | + | 20.1228i | 0.692009 | + | 0.693479i | ||||
\(843\) | 11.2353 | + | 9.27550i | 0.386964 | + | 0.319465i | ||||
\(844\) | −17.4552 | + | 30.0857i | −0.600834 | + | 1.03559i | ||||
\(845\) | 1.64622 | + | 1.50493i | 0.0566315 | + | 0.0517712i | ||||
\(846\) | −16.7993 | + | 24.7707i | −0.577570 | + | 0.851633i | ||||
\(847\) | 23.1260 | + | 13.3518i | 0.794617 | + | 0.458773i | ||||
\(848\) | 0.206215 | − | 48.5932i | 0.00708145 | − | 1.66870i | ||||
\(849\) | −28.2791 | + | 10.5495i | −0.970535 | + | 0.362058i | ||||
\(850\) | 35.1875 | + | 9.46847i | 1.20692 | + | 0.324766i | ||||
\(851\) | −4.63883 | − | 8.03468i | −0.159017 | − | 0.275425i | ||||
\(852\) | −6.74517 | + | 39.6125i | −0.231086 | + | 1.35710i | ||||
\(853\) | −10.1311 | −0.346882 | −0.173441 | − | 0.984844i | \(-0.555489\pi\) | ||||
−0.173441 | + | 0.984844i | \(0.555489\pi\) | |||||||
\(854\) | 0.550848 | + | 2.06455i | 0.0188496 | + | 0.0706475i | ||||
\(855\) | 2.20097 | − | 1.90761i | 0.0752714 | − | 0.0652390i | ||||
\(856\) | −12.8575 | − | 48.6031i | −0.439461 | − | 1.66122i | ||||
\(857\) | 7.65315i | 0.261427i | 0.991420 | + | 0.130713i | \(0.0417268\pi\) | ||||
−0.991420 | + | 0.130713i | \(0.958273\pi\) | |||||||
\(858\) | 0.170304 | − | 11.9104i | 0.00581407 | − | 0.406613i | ||||
\(859\) | − | 4.63175i | − | 0.158033i | −0.996873 | − | 0.0790166i | \(-0.974822\pi\) | ||
0.996873 | − | 0.0790166i | \(-0.0251780\pi\) | |||||||
\(860\) | 2.33456 | − | 1.34126i | 0.0796079 | − | 0.0457367i | ||||
\(861\) | 17.9795 | − | 21.7784i | 0.612741 | − | 0.742205i | ||||
\(862\) | −39.9723 | + | 10.6651i | −1.36146 | + | 0.363255i | ||||
\(863\) | 25.3093 | 0.861538 | 0.430769 | − | 0.902462i | \(-0.358242\pi\) | ||||
0.430769 | + | 0.902462i | \(0.358242\pi\) | |||||||
\(864\) | −8.13660 | − | 28.2453i | −0.276813 | − | 0.960924i | ||||
\(865\) | 0.0732093 | + | 0.126802i | 0.00248919 | + | 0.00431140i | ||||
\(866\) | 5.90389 | − | 21.9405i | 0.200622 | − | 0.745568i | ||||
\(867\) | −5.97617 | − | 16.0198i | −0.202962 | − | 0.544061i | ||||
\(868\) | −18.3069 | + | 10.5178i | −0.621377 | + | 0.356997i | ||||
\(869\) | −7.00151 | − | 4.04232i | −0.237510 | − | 0.137126i | ||||
\(870\) | 0.508664 | − | 1.11087i | 0.0172453 | − | 0.0376622i | ||||
\(871\) | 40.8644 | + | 4.45114i | 1.38464 | + | 0.150821i | ||||
\(872\) | −17.1676 | + | 17.0586i | −0.581368 | + | 0.577679i | ||||
\(873\) | −18.4156 | + | 15.9611i | −0.623272 | + | 0.540200i | ||||
\(874\) | 15.9665 | − | 15.9326i | 0.540075 | − | 0.538930i | ||||
\(875\) | 2.48781 | + | 4.30902i | 0.0841034 | + | 0.145671i | ||||
\(876\) | 2.92468 | + | 2.42498i | 0.0988159 | + | 0.0819324i | ||||
\(877\) | 14.6757 | + | 25.4190i | 0.495563 | + | 0.858340i | 0.999987 | − | 0.00511586i | \(-0.00162844\pi\) |
−0.504424 | + | 0.863456i | \(0.668295\pi\) | |||||||
\(878\) | −4.94167 | − | 18.5211i | −0.166773 | − | 0.625058i | ||||
\(879\) | 6.51791 | − | 38.7749i | 0.219844 | − | 1.30784i | ||||
\(880\) | −0.799631 | − | 0.466203i | −0.0269556 | − | 0.0157157i | ||||
\(881\) | −36.2350 | − | 20.9203i | −1.22079 | − | 0.704822i | −0.255702 | − | 0.966756i | \(-0.582307\pi\) |
−0.965086 | + | 0.261933i | \(0.915640\pi\) | |||||||
\(882\) | 2.70103 | + | 5.57363i | 0.0909484 | + | 0.187674i | ||||
\(883\) | − | 38.7219i | − | 1.30310i | −0.758607 | − | 0.651548i | \(-0.774120\pi\) | ||
0.758607 | − | 0.651548i | \(-0.225880\pi\) | |||||||
\(884\) | 30.1116 | + | 22.1499i | 1.01276 | + | 0.744982i | ||||
\(885\) | 0.486375 | − | 2.89343i | 0.0163493 | − | 0.0972616i | ||||
\(886\) | −15.5625 | − | 15.5955i | −0.522831 | − | 0.523942i | ||||
\(887\) | −22.7090 | + | 39.3331i | −0.762493 | + | 1.32068i | 0.179068 | + | 0.983837i | \(0.442692\pi\) |
−0.941562 | + | 0.336841i | \(0.890642\pi\) | |||||||
\(888\) | 14.6471 | + | 6.74446i | 0.491524 | + | 0.226329i | ||||
\(889\) | 2.25456 | 0.0756154 | ||||||||
\(890\) | −1.04880 | + | 0.279833i | −0.0351559 | + | 0.00938002i | ||||
\(891\) | −1.72459 | + | 12.0153i | −0.0577758 | + | 0.402529i | ||||
\(892\) | 20.7356 | − | 35.7397i | 0.694278 | − | 1.19665i | ||||
\(893\) | 34.5711 | − | 19.9596i | 1.15688 | − | 0.667924i | ||||
\(894\) | −38.0809 | + | 27.0599i | −1.27361 | + | 0.905018i | ||||
\(895\) | −1.21047 | − | 0.698864i | −0.0404615 | − | 0.0233605i | ||||
\(896\) | −8.75274 | + | 31.7215i | −0.292408 | + | 1.05974i | ||||
\(897\) | −12.2808 | − | 12.6103i | −0.410045 | − | 0.421047i | ||||
\(898\) | 18.4174 | + | 4.95588i | 0.614597 | + | 0.165380i | ||||
\(899\) | −5.27581 | + | 9.13796i | −0.175958 | + | 0.304768i | ||||
\(900\) | 29.2957 | − | 5.58550i | 0.976522 | − | 0.186183i | ||||
\(901\) | −31.4874 | − | 54.5378i | −1.04900 | − | 1.81692i | ||||
\(902\) | −10.3252 | − | 2.77836i | −0.343790 | − | 0.0925093i | ||||
\(903\) | 13.8160 | + | 37.0353i | 0.459768 | + | 1.23246i | ||||
\(904\) | 5.38794 | − | 19.8551i | 0.179200 | − | 0.660370i | ||||
\(905\) | − | 0.135142i | − | 0.00449226i | ||||||
\(906\) | 3.09904 | + | 32.8014i | 0.102959 | + | 1.08975i | ||||
\(907\) | 27.5046 | + | 15.8798i | 0.913274 | + | 0.527279i | 0.881483 | − | 0.472216i | \(-0.156546\pi\) |
0.0317909 | + | 0.999495i | \(0.489879\pi\) | |||||||
\(908\) | 31.7813 | − | 18.2591i | 1.05470 | − | 0.605950i | ||||
\(909\) | −14.9358 | + | 43.1709i | −0.495388 | + | 1.43189i | ||||
\(910\) | 0.385894 | + | 2.51514i | 0.0127923 | + | 0.0833760i | ||||
\(911\) | −30.9954 | −1.02692 | −0.513462 | − | 0.858112i | \(-0.671637\pi\) | ||||
−0.513462 | + | 0.858112i | \(0.671637\pi\) | |||||||
\(912\) | −6.66293 | + | 38.6340i | −0.220632 | + | 1.27930i | ||||
\(913\) | −2.15557 | + | 3.73356i | −0.0713390 | + | 0.123563i | ||||
\(914\) | −32.3093 | + | 8.62052i | −1.06870 | + | 0.285141i | ||||
\(915\) | 0.0255904 | − | 0.152237i | 0.000845993 | − | 0.00503279i | ||||
\(916\) | −0.0108301 | + | 5.10412i | −0.000357838 | + | 0.168645i | ||||
\(917\) | −30.2684 | + | 17.4755i | −0.999552 | + | 0.577091i | ||||
\(918\) | −27.5460 | − | 26.3114i | −0.909153 | − | 0.868404i | ||||
\(919\) | −1.27353 | + | 0.735272i | −0.0420098 | + | 0.0242544i | −0.520858 | − | 0.853643i | \(-0.674388\pi\) |
0.478848 | + | 0.877898i | \(0.341055\pi\) | |||||||
\(920\) | −1.32233 | + | 0.349810i | −0.0435959 | + | 0.0115329i | ||||
\(921\) | −12.7229 | − | 10.5037i | −0.419235 | − | 0.346107i | ||||
\(922\) | −16.2208 | − | 4.36481i | −0.534205 | − | 0.143747i | ||||
\(923\) | −33.7428 | − | 24.7109i | −1.11066 | − | 0.813368i | ||||
\(924\) | 8.67369 | − | 10.4610i | 0.285343 | − | 0.344143i | ||||
\(925\) | −8.18046 | + | 14.1690i | −0.268972 | + | 0.465873i | ||||
\(926\) | 16.6788 | − | 16.6434i | 0.548098 | − | 0.546936i | ||||
\(927\) | 44.7106 | − | 8.62286i | 1.46849 | − | 0.283212i | ||||
\(928\) | 4.17212 | + | 15.9076i | 0.136957 | + | 0.522194i | ||||
\(929\) | 50.4608 | − | 29.1336i | 1.65557 | − | 0.955841i | 0.680841 | − | 0.732431i | \(-0.261614\pi\) |
0.974724 | − | 0.223410i | \(-0.0717190\pi\) | |||||||
\(930\) | 1.51857 | − | 0.143473i | 0.0497959 | − | 0.00470466i | ||||
\(931\) | − | 8.26079i | − | 0.270736i | ||||||
\(932\) | 34.0346 | + | 0.0722160i | 1.11484 | + | 0.00236551i | ||||
\(933\) | −12.7154 | + | 15.4020i | −0.416283 | + | 0.504238i | ||||
\(934\) | −15.5768 | − | 15.6099i | −0.509688 | − | 0.510770i | ||||
\(935\) | −1.19954 | −0.0392292 | ||||||||
\(936\) | 30.0835 | + | 5.56629i | 0.983310 | + | 0.181940i | ||||
\(937\) | −8.25249 | −0.269597 | −0.134799 | − | 0.990873i | \(-0.543039\pi\) | ||||
−0.134799 | + | 0.990873i | \(0.543039\pi\) | |||||||
\(938\) | 33.1249 | + | 33.1952i | 1.08157 | + | 1.08386i | ||||
\(939\) | 13.0197 | − | 15.7706i | 0.424883 | − | 0.514655i | ||||
\(940\) | −2.42072 | − | 0.00513639i | −0.0789553 | − | 0.000167530i | ||||
\(941\) | 2.19413i | 0.0715267i | 0.999360 | + | 0.0357634i | \(0.0113863\pi\) | ||||
−0.999360 | + | 0.0357634i | \(0.988614\pi\) | |||||||
\(942\) | 26.8724 | − | 2.53888i | 0.875552 | − | 0.0827211i | ||||
\(943\) | −13.6838 | + | 7.90034i | −0.445606 | + | 0.257271i | ||||
\(944\) | 19.6010 | + | 34.2852i | 0.637959 | + | 1.11589i | ||||
\(945\) | −0.0621775 | − | 2.59230i | −0.00202263 | − | 0.0843274i | ||||
\(946\) | 10.5938 | − | 10.5713i | 0.344433 | − | 0.343703i | ||||
\(947\) | 4.90604 | − | 8.49752i | 0.159425 | − | 0.276132i | −0.775236 | − | 0.631671i | \(-0.782369\pi\) |
0.934661 | + | 0.355539i | \(0.115703\pi\) | |||||||
\(948\) | 13.2538 | − | 15.9849i | 0.430463 | − | 0.519167i | ||||
\(949\) | −3.61856 | + | 1.59474i | −0.117463 | + | 0.0517673i | ||||
\(950\) | −38.4108 | − | 10.3358i | −1.24621 | − | 0.335339i | ||||
\(951\) | 37.5515 | + | 31.0013i | 1.21769 | + | 1.00529i | ||||
\(952\) | 10.9063 | + | 41.2273i | 0.353476 | + | 1.33619i | ||||
\(953\) | 10.8988 | − | 6.29241i | 0.353046 | − | 0.203831i | −0.312980 | − | 0.949760i | \(-0.601327\pi\) |
0.666026 | + | 0.745929i | \(0.267994\pi\) | |||||||
\(954\) | −42.6568 | − | 28.9294i | −1.38106 | − | 0.936625i | ||||
\(955\) | 1.47683 | − | 0.852650i | 0.0477892 | − | 0.0275911i | ||||
\(956\) | −0.0741659 | + | 34.9536i | −0.00239870 | + | 1.13048i | ||||
\(957\) | 1.12581 | − | 6.69742i | 0.0363923 | − | 0.216497i | ||||
\(958\) | −31.7313 | + | 8.46632i | −1.02519 | + | 0.273534i | ||||
\(959\) | −0.707407 | + | 1.22526i | −0.0228434 | + | 0.0395659i | ||||
\(960\) | 1.52518 | − | 1.82366i | 0.0492249 | − | 0.0588583i | ||||
\(961\) | 17.8270 | 0.575064 | ||||||||
\(962\) | −13.0944 | + | 10.4991i | −0.422179 | + | 0.338505i | ||||
\(963\) | −50.3940 | − | 17.4347i | −1.62392 | − | 0.561826i | ||||
\(964\) | −41.0746 | + | 23.5984i | −1.32293 | + | 0.760053i | ||||
\(965\) | −2.13079 | − | 1.23021i | −0.0685926 | − | 0.0396019i | ||||
\(966\) | −1.88885 | − | 19.9923i | −0.0607728 | − | 0.643243i | ||||
\(967\) | − | 31.3493i | − | 1.00812i | −0.863667 | − | 0.504062i | \(-0.831838\pi\) | ||
0.863667 | − | 0.504062i | \(-0.168162\pi\) | |||||||
\(968\) | 25.0613 | + | 6.80072i | 0.805501 | + | 0.218584i | ||||
\(969\) | 17.7580 | + | 47.6022i | 0.570469 | + | 1.52920i | ||||
\(970\) | −1.90332 | − | 0.512159i | −0.0611120 | − | 0.0164444i | ||||
\(971\) | 11.7172 | + | 20.2947i | 0.376022 | + | 0.651289i | 0.990479 | − | 0.137661i | \(-0.0439585\pi\) |
−0.614458 | + | 0.788950i | \(0.710625\pi\) | |||||||
\(972\) | −29.6792 | − | 9.54699i | −0.951961 | − | 0.306220i | ||||
\(973\) | 32.3354 | − | 56.0066i | 1.03663 | − | 1.79549i | ||||
\(974\) | −2.89315 | − | 0.778508i | −0.0927025 | − | 0.0249450i | ||||
\(975\) | −8.43021 | + | 29.8745i | −0.269983 | + | 0.956749i | ||||
\(976\) | 1.03130 | + | 1.80390i | 0.0330111 | + | 0.0577414i | ||||
\(977\) | 19.0132 | + | 10.9773i | 0.608286 | + | 0.351194i | 0.772294 | − | 0.635265i | \(-0.219109\pi\) |
−0.164008 | + | 0.986459i | \(0.552442\pi\) | |||||||
\(978\) | 0.424836 | − | 0.301884i | 0.0135848 | − | 0.00965320i | ||||
\(979\) | −5.22537 | + | 3.01687i | −0.167004 | + | 0.0964195i | ||||
\(980\) | −0.251389 | + | 0.433293i | −0.00803034 | + | 0.0138410i | ||||
\(981\) | 4.86108 | + | 25.2053i | 0.155202 | + | 0.804744i | ||||
\(982\) | −25.7488 | + | 6.87010i | −0.821677 | + | 0.219234i | ||||
\(983\) | −13.4993 | −0.430560 | −0.215280 | − | 0.976552i | \(-0.569066\pi\) | ||||
−0.215280 | + | 0.976552i | \(0.569066\pi\) | |||||||
\(984\) | 11.4864 | − | 24.9453i | 0.366174 | − | 0.795228i | ||||
\(985\) | 1.11730 | − | 1.93523i | 0.0356003 | − | 0.0616615i | ||||
\(986\) | 15.0544 | + | 15.0863i | 0.479428 | + | 0.480447i | ||||
\(987\) | 5.89141 | − | 35.0478i | 0.187526 | − | 1.11558i | ||||
\(988\) | −32.8700 | − | 24.1790i | −1.04573 | − | 0.769236i | ||||
\(989\) | − | 22.1159i | − | 0.703244i | ||||||
\(990\) | −0.883483 | + | 0.428143i | −0.0280789 | + | 0.0136073i | ||||
\(991\) | −12.9161 | − | 7.45713i | −0.410294 | − | 0.236884i | 0.280622 | − | 0.959818i | \(-0.409459\pi\) |
−0.690916 | + | 0.722935i | \(0.742793\pi\) | |||||||
\(992\) | −14.5947 | + | 14.4406i | −0.463381 | + | 0.458491i | ||||
\(993\) | −4.23935 | + | 25.2198i | −0.134532 | + | 0.800326i | ||||
\(994\) | −12.3004 | − | 46.1012i | −0.390144 | − | 1.46224i | ||||
\(995\) | 0.421993 | + | 0.730913i | 0.0133781 | + | 0.0231715i | ||||
\(996\) | −8.52398 | − | 7.06759i | −0.270093 | − | 0.223945i | ||||
\(997\) | −20.5797 | − | 35.6450i | −0.651765 | − | 1.12889i | −0.982694 | − | 0.185234i | \(-0.940696\pi\) |
0.330930 | − | 0.943655i | \(-0.392638\pi\) | |||||||
\(998\) | −1.99880 | + | 1.99456i | −0.0632708 | + | 0.0631367i | ||||
\(999\) | 14.6027 | − | 8.90444i | 0.462009 | − | 0.281724i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 156.2.p.b.35.6 | yes | 40 | |
3.2 | odd | 2 | inner | 156.2.p.b.35.15 | yes | 40 | |
4.3 | odd | 2 | inner | 156.2.p.b.35.3 | ✓ | 40 | |
12.11 | even | 2 | inner | 156.2.p.b.35.18 | yes | 40 | |
13.3 | even | 3 | inner | 156.2.p.b.107.18 | yes | 40 | |
39.29 | odd | 6 | inner | 156.2.p.b.107.3 | yes | 40 | |
52.3 | odd | 6 | inner | 156.2.p.b.107.15 | yes | 40 | |
156.107 | even | 6 | inner | 156.2.p.b.107.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.2.p.b.35.3 | ✓ | 40 | 4.3 | odd | 2 | inner | |
156.2.p.b.35.6 | yes | 40 | 1.1 | even | 1 | trivial | |
156.2.p.b.35.15 | yes | 40 | 3.2 | odd | 2 | inner | |
156.2.p.b.35.18 | yes | 40 | 12.11 | even | 2 | inner | |
156.2.p.b.107.3 | yes | 40 | 39.29 | odd | 6 | inner | |
156.2.p.b.107.6 | yes | 40 | 156.107 | even | 6 | inner | |
156.2.p.b.107.15 | yes | 40 | 52.3 | odd | 6 | inner | |
156.2.p.b.107.18 | yes | 40 | 13.3 | even | 3 | inner |