Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 347.33 | ||
Character | \(\chi\) | \(=\) | 570.347 |
Dual form | 570.2.bi.a.23.33 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.422618 | − | 0.906308i | 0.298836 | − | 0.640856i | ||||
\(3\) | 0.651562 | + | 1.60483i | 0.376179 | + | 0.926547i | ||||
\(4\) | −0.642788 | − | 0.766044i | −0.321394 | − | 0.383022i | ||||
\(5\) | −2.12425 | + | 0.698252i | −0.949994 | + | 0.312268i | ||||
\(6\) | 1.72983 | + | 0.0877136i | 0.706199 | + | 0.0358089i | ||||
\(7\) | 0.771887 | − | 2.88072i | 0.291746 | − | 1.08881i | −0.652022 | − | 0.758200i | \(-0.726079\pi\) |
0.943768 | − | 0.330610i | \(-0.107254\pi\) | |||||||
\(8\) | −0.965926 | + | 0.258819i | −0.341506 | + | 0.0915064i | ||||
\(9\) | −2.15094 | + | 2.09129i | −0.716978 | + | 0.697095i | ||||
\(10\) | −0.264916 | + | 2.22032i | −0.0837738 | + | 0.702127i | ||||
\(11\) | 4.54257 | + | 2.62265i | 1.36964 | + | 0.790760i | 0.990881 | − | 0.134737i | \(-0.0430188\pi\) |
0.378755 | + | 0.925497i | \(0.376352\pi\) | |||||||
\(12\) | 0.810553 | − | 1.53069i | 0.233986 | − | 0.441871i | ||||
\(13\) | 5.15970 | + | 3.61286i | 1.43104 | + | 1.00203i | 0.994762 | + | 0.102219i | \(0.0325941\pi\) |
0.436283 | + | 0.899810i | \(0.356295\pi\) | |||||||
\(14\) | −2.28461 | − | 1.91701i | −0.610587 | − | 0.512343i | ||||
\(15\) | −2.50465 | − | 2.95410i | −0.646699 | − | 0.762745i | ||||
\(16\) | −0.173648 | + | 0.984808i | −0.0434120 | + | 0.246202i | ||||
\(17\) | −0.850862 | + | 1.82468i | −0.206364 | + | 0.442550i | −0.982063 | − | 0.188554i | \(-0.939620\pi\) |
0.775698 | + | 0.631104i | \(0.217398\pi\) | |||||||
\(18\) | 0.986324 | + | 2.83323i | 0.232479 | + | 0.667798i | ||||
\(19\) | 3.51804 | + | 2.57359i | 0.807094 | + | 0.590423i | ||||
\(20\) | 1.90033 | + | 1.17844i | 0.424928 | + | 0.263508i | ||||
\(21\) | 5.12599 | − | 0.638222i | 1.11858 | − | 0.139272i | ||||
\(22\) | 4.29671 | − | 3.00859i | 0.916061 | − | 0.641433i | ||||
\(23\) | −3.36921 | − | 0.294768i | −0.702530 | − | 0.0614634i | −0.269707 | − | 0.962942i | \(-0.586927\pi\) |
−0.432823 | + | 0.901479i | \(0.642482\pi\) | |||||||
\(24\) | −1.04472 | − | 1.38151i | −0.213253 | − | 0.281999i | ||||
\(25\) | 4.02489 | − | 2.96653i | 0.804978 | − | 0.593305i | ||||
\(26\) | 5.45495 | − | 3.14942i | 1.06980 | − | 0.617652i | ||||
\(27\) | −4.75762 | − | 2.08928i | −0.915604 | − | 0.402081i | ||||
\(28\) | −2.70292 | + | 1.26039i | −0.510804 | + | 0.238192i | ||||
\(29\) | 4.14994 | + | 1.51045i | 0.770624 | + | 0.280484i | 0.697257 | − | 0.716821i | \(-0.254403\pi\) |
0.0733667 | + | 0.997305i | \(0.476626\pi\) | |||||||
\(30\) | −3.73584 | + | 1.02153i | −0.682067 | + | 0.186505i | ||||
\(31\) | −1.72653 | − | 2.99044i | −0.310094 | − | 0.537099i | 0.668288 | − | 0.743902i | \(-0.267027\pi\) |
−0.978382 | + | 0.206804i | \(0.933694\pi\) | |||||||
\(32\) | 0.819152 | + | 0.573576i | 0.144807 | + | 0.101395i | ||||
\(33\) | −1.24914 | + | 8.99886i | −0.217447 | + | 1.56650i | ||||
\(34\) | 1.29413 | + | 1.54229i | 0.221942 | + | 0.264500i | ||||
\(35\) | 0.371788 | + | 6.65835i | 0.0628436 | + | 1.12547i | ||||
\(36\) | 2.98461 | + | 0.303459i | 0.497435 | + | 0.0505765i | ||||
\(37\) | 3.88883 | + | 3.88883i | 0.639320 | + | 0.639320i | 0.950388 | − | 0.311068i | \(-0.100687\pi\) |
−0.311068 | + | 0.950388i | \(0.600687\pi\) | |||||||
\(38\) | 3.81926 | − | 2.10078i | 0.619565 | − | 0.340791i | ||||
\(39\) | −2.43615 | + | 10.6344i | −0.390097 | + | 1.70287i | ||||
\(40\) | 1.87115 | − | 1.22426i | 0.295855 | − | 0.193572i | ||||
\(41\) | −8.88378 | − | 1.56645i | −1.38741 | − | 0.244638i | −0.570452 | − | 0.821331i | \(-0.693232\pi\) |
−0.816961 | + | 0.576692i | \(0.804343\pi\) | |||||||
\(42\) | 1.58791 | − | 4.91545i | 0.245020 | − | 0.758470i | ||||
\(43\) | −5.74981 | + | 0.503043i | −0.876838 | + | 0.0767134i | −0.516681 | − | 0.856178i | \(-0.672833\pi\) |
−0.360157 | + | 0.932892i | \(0.617277\pi\) | |||||||
\(44\) | −0.910838 | − | 5.16562i | −0.137314 | − | 0.778747i | ||||
\(45\) | 3.10888 | − | 5.94431i | 0.463445 | − | 0.886126i | ||||
\(46\) | −1.69104 | + | 2.92897i | −0.249331 | + | 0.431853i | ||||
\(47\) | 8.51881 | − | 3.97239i | 1.24260 | − | 0.579432i | 0.313612 | − | 0.949551i | \(-0.398461\pi\) |
0.928984 | + | 0.370119i | \(0.120683\pi\) | |||||||
\(48\) | −1.69359 | + | 0.362988i | −0.244448 | + | 0.0523928i | ||||
\(49\) | −1.64056 | − | 0.947179i | −0.234366 | − | 0.135311i | ||||
\(50\) | −0.987595 | − | 4.90150i | −0.139667 | − | 0.693176i | ||||
\(51\) | −3.48268 | − | 0.176595i | −0.487673 | − | 0.0247282i | ||||
\(52\) | −0.548980 | − | 6.27487i | −0.0761298 | − | 0.870168i | ||||
\(53\) | 10.5832 | + | 0.925908i | 1.45371 | + | 0.127183i | 0.786456 | − | 0.617646i | \(-0.211914\pi\) |
0.667255 | + | 0.744830i | \(0.267469\pi\) | |||||||
\(54\) | −3.90418 | + | 3.42890i | −0.531292 | + | 0.466614i | ||||
\(55\) | −11.4808 | − | 2.39932i | −1.54808 | − | 0.323524i | ||||
\(56\) | 2.98234i | 0.398532i | ||||||||
\(57\) | −1.83795 | + | 7.32270i | −0.243443 | + | 0.969915i | ||||
\(58\) | 3.12278 | − | 3.12278i | 0.410041 | − | 0.410041i | ||||
\(59\) | −4.19415 | + | 1.52654i | −0.546031 | + | 0.198739i | −0.600282 | − | 0.799788i | \(-0.704945\pi\) |
0.0542510 | + | 0.998527i | \(0.482723\pi\) | |||||||
\(60\) | −0.653012 | + | 3.81754i | −0.0843034 | + | 0.492842i | ||||
\(61\) | −8.74677 | + | 7.33941i | −1.11991 | + | 0.939715i | −0.998600 | − | 0.0529000i | \(-0.983154\pi\) |
−0.121309 | + | 0.992615i | \(0.538709\pi\) | |||||||
\(62\) | −3.43992 | + | 0.300954i | −0.436870 | + | 0.0382212i | ||||
\(63\) | 4.36413 | + | 7.81048i | 0.549829 | + | 0.984028i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −13.4832 | − | 4.07186i | −1.67239 | − | 0.505052i | ||||
\(66\) | 7.62783 | + | 4.93519i | 0.938921 | + | 0.607480i | ||||
\(67\) | −4.04485 | − | 8.67420i | −0.494157 | − | 1.05972i | −0.982361 | − | 0.186993i | \(-0.940126\pi\) |
0.488204 | − | 0.872729i | \(-0.337652\pi\) | |||||||
\(68\) | 1.94471 | − | 0.521083i | 0.235831 | − | 0.0631906i | ||||
\(69\) | −1.72220 | − | 5.59906i | −0.207328 | − | 0.674048i | ||||
\(70\) | 6.19163 | + | 2.47698i | 0.740042 | + | 0.296056i | ||||
\(71\) | 1.24794 | − | 1.48724i | 0.148104 | − | 0.176503i | −0.686892 | − | 0.726759i | \(-0.741026\pi\) |
0.834996 | + | 0.550256i | \(0.185470\pi\) | |||||||
\(72\) | 1.53638 | − | 2.57673i | 0.181064 | − | 0.303671i | ||||
\(73\) | −7.61738 | − | 10.8787i | −0.891547 | − | 1.27326i | −0.961246 | − | 0.275692i | \(-0.911093\pi\) |
0.0696993 | − | 0.997568i | \(-0.477796\pi\) | |||||||
\(74\) | 5.16797 | − | 1.88099i | 0.600764 | − | 0.218660i | ||||
\(75\) | 7.38322 | + | 4.52637i | 0.852541 | + | 0.522660i | ||||
\(76\) | −0.289865 | − | 4.34925i | −0.0332498 | − | 0.498893i | ||||
\(77\) | 11.0615 | − | 11.0615i | 1.26057 | − | 1.26057i | ||||
\(78\) | 8.60851 | + | 6.70221i | 0.974721 | + | 0.758876i | ||||
\(79\) | 6.95672 | + | 1.22666i | 0.782692 | + | 0.138010i | 0.550695 | − | 0.834707i | \(-0.314363\pi\) |
0.231997 | + | 0.972716i | \(0.425474\pi\) | |||||||
\(80\) | −0.318772 | − | 2.21323i | −0.0356398 | − | 0.247447i | ||||
\(81\) | 0.253044 | − | 8.99644i | 0.0281160 | − | 0.999605i | ||||
\(82\) | −5.17413 | + | 7.38943i | −0.571388 | + | 0.816026i | ||||
\(83\) | 0.902946 | − | 3.36984i | 0.0991112 | − | 0.369888i | −0.898499 | − | 0.438975i | \(-0.855342\pi\) |
0.997611 | + | 0.0690866i | \(0.0220085\pi\) | |||||||
\(84\) | −3.78383 | − | 3.51649i | −0.412849 | − | 0.383681i | ||||
\(85\) | 0.533359 | − | 4.47020i | 0.0578509 | − | 0.484861i | ||||
\(86\) | −1.97406 | + | 5.42369i | −0.212869 | + | 0.584852i | ||||
\(87\) | 0.279924 | + | 7.64408i | 0.0300110 | + | 0.819532i | ||||
\(88\) | −5.06658 | − | 1.35759i | −0.540099 | − | 0.144719i | ||||
\(89\) | −1.58210 | − | 8.97253i | −0.167702 | − | 0.951087i | −0.946234 | − | 0.323482i | \(-0.895147\pi\) |
0.778532 | − | 0.627605i | \(-0.215965\pi\) | |||||||
\(90\) | −4.07351 | − | 5.32978i | −0.429385 | − | 0.561808i | ||||
\(91\) | 14.3904 | − | 12.0749i | 1.50852 | − | 1.26580i | ||||
\(92\) | 1.93988 | + | 2.77044i | 0.202247 | + | 0.288838i | ||||
\(93\) | 3.67419 | − | 4.71924i | 0.380996 | − | 0.489362i | ||||
\(94\) | − | 9.39947i | − | 0.969481i | ||||||
\(95\) | −9.27022 | − | 3.01048i | −0.951105 | − | 0.308869i | ||||
\(96\) | −0.386763 | + | 1.68832i | −0.0394738 | + | 0.172313i | ||||
\(97\) | −11.9774 | − | 5.58514i | −1.21612 | − | 0.567085i | −0.294674 | − | 0.955598i | \(-0.595211\pi\) |
−0.921443 | + | 0.388513i | \(0.872989\pi\) | |||||||
\(98\) | −1.55177 | + | 1.08656i | −0.156752 | + | 0.109759i | ||||
\(99\) | −15.2555 | + | 3.85866i | −1.53324 | + | 0.387810i | ||||
\(100\) | −4.85964 | − | 1.17640i | −0.485964 | − | 0.117640i | ||||
\(101\) | −2.30532 | + | 0.406489i | −0.229387 | + | 0.0404472i | −0.287160 | − | 0.957883i | \(-0.592711\pi\) |
0.0577728 | + | 0.998330i | \(0.481600\pi\) | |||||||
\(102\) | −1.63189 | + | 3.08175i | −0.161582 | + | 0.305139i | ||||
\(103\) | −0.604862 | − | 2.25738i | −0.0595989 | − | 0.222426i | 0.929703 | − | 0.368311i | \(-0.120064\pi\) |
−0.989302 | + | 0.145885i | \(0.953397\pi\) | |||||||
\(104\) | −5.91897 | − | 2.15433i | −0.580403 | − | 0.211249i | ||||
\(105\) | −10.4432 | + | 4.93498i | −1.01916 | + | 0.481604i | ||||
\(106\) | 5.31180 | − | 9.20031i | 0.515928 | − | 0.893613i | ||||
\(107\) | 10.1828 | + | 2.72847i | 0.984407 | + | 0.263771i | 0.714900 | − | 0.699227i | \(-0.246472\pi\) |
0.269508 | + | 0.962998i | \(0.413139\pi\) | |||||||
\(108\) | 1.45766 | + | 4.98751i | 0.140263 | + | 0.479923i | ||||
\(109\) | −3.14952 | + | 3.75346i | −0.301670 | + | 0.359516i | −0.895490 | − | 0.445082i | \(-0.853175\pi\) |
0.593820 | + | 0.804598i | \(0.297619\pi\) | |||||||
\(110\) | −7.02653 | + | 9.39118i | −0.669954 | + | 0.895414i | ||||
\(111\) | −3.70709 | + | 8.77471i | −0.351861 | + | 0.832859i | ||||
\(112\) | 2.70292 | + | 1.26039i | 0.255402 | + | 0.119096i | ||||
\(113\) | −6.59570 | − | 6.59570i | −0.620472 | − | 0.620472i | 0.325180 | − | 0.945652i | \(-0.394575\pi\) |
−0.945652 | + | 0.325180i | \(0.894575\pi\) | |||||||
\(114\) | 5.85987 | + | 4.76046i | 0.548827 | + | 0.445858i | ||||
\(115\) | 7.36288 | − | 1.72640i | 0.686592 | − | 0.160988i | ||||
\(116\) | −1.51045 | − | 4.14994i | −0.140242 | − | 0.385312i | ||||
\(117\) | −18.6537 | + | 3.01938i | −1.72454 | + | 0.279142i | ||||
\(118\) | −0.389004 | + | 4.44633i | −0.0358107 | + | 0.409318i | ||||
\(119\) | 4.59962 | + | 3.85954i | 0.421647 | + | 0.353804i | ||||
\(120\) | 3.18389 | + | 2.20519i | 0.290648 | + | 0.201305i | ||||
\(121\) | 8.25664 | + | 14.3009i | 0.750603 | + | 1.30008i | ||||
\(122\) | 2.95522 | + | 11.0290i | 0.267553 | + | 0.998521i | ||||
\(123\) | −3.27445 | − | 15.2776i | −0.295247 | − | 1.37753i | ||||
\(124\) | −1.18102 | + | 3.24482i | −0.106058 | + | 0.291393i | ||||
\(125\) | −6.47849 | + | 9.11203i | −0.579454 | + | 0.815005i | ||||
\(126\) | 8.92306 | − | 0.654396i | 0.794929 | − | 0.0582983i | ||||
\(127\) | 5.77456 | − | 8.24692i | 0.512409 | − | 0.731796i | −0.476686 | − | 0.879074i | \(-0.658162\pi\) |
0.989095 | + | 0.147277i | \(0.0470510\pi\) | |||||||
\(128\) | −0.0871557 | − | 0.996195i | −0.00770355 | − | 0.0880520i | ||||
\(129\) | −4.55365 | − | 8.89969i | −0.400927 | − | 0.783574i | ||||
\(130\) | −9.38860 | + | 10.4991i | −0.823435 | + | 0.920831i | ||||
\(131\) | 6.58150 | + | 18.0825i | 0.575028 | + | 1.57988i | 0.796454 | + | 0.604699i | \(0.206707\pi\) |
−0.221426 | + | 0.975177i | \(0.571071\pi\) | |||||||
\(132\) | 7.69646 | − | 4.82746i | 0.669891 | − | 0.420176i | ||||
\(133\) | 10.1293 | − | 8.14797i | 0.878325 | − | 0.706518i | ||||
\(134\) | −9.57092 | −0.826802 | ||||||||
\(135\) | 11.5652 | + | 1.11613i | 0.995375 | + | 0.0960612i | ||||
\(136\) | 0.349608 | − | 1.98272i | 0.0299786 | − | 0.170017i | ||||
\(137\) | −0.294698 | + | 3.36841i | −0.0251777 | + | 0.287783i | 0.973159 | + | 0.230133i | \(0.0739162\pi\) |
−0.998337 | + | 0.0576496i | \(0.981639\pi\) | |||||||
\(138\) | −5.80231 | − | 0.805424i | −0.493925 | − | 0.0685623i | ||||
\(139\) | −5.82449 | + | 1.02701i | −0.494027 | + | 0.0871102i | −0.415111 | − | 0.909771i | \(-0.636257\pi\) |
−0.0789163 | + | 0.996881i | \(0.525146\pi\) | |||||||
\(140\) | 4.86161 | − | 4.56471i | 0.410881 | − | 0.385788i | ||||
\(141\) | 11.9255 | + | 11.0830i | 1.00431 | + | 0.933354i | ||||
\(142\) | −0.820494 | − | 1.75955i | −0.0688543 | − | 0.147659i | ||||
\(143\) | 13.9630 | + | 29.9438i | 1.16765 | + | 2.50403i | ||||
\(144\) | −1.68601 | − | 2.48141i | −0.140501 | − | 0.206784i | ||||
\(145\) | −9.87019 | − | 0.310881i | −0.819675 | − | 0.0258172i | ||||
\(146\) | −13.0787 | + | 2.30613i | −1.08240 | + | 0.190857i | ||||
\(147\) | 0.451131 | − | 3.24996i | 0.0372086 | − | 0.268052i | ||||
\(148\) | 0.479325 | − | 5.47871i | 0.0394003 | − | 0.450347i | ||||
\(149\) | 1.52277 | − | 8.63608i | 0.124750 | − | 0.707495i | −0.856705 | − | 0.515806i | \(-0.827492\pi\) |
0.981456 | − | 0.191689i | \(-0.0613964\pi\) | |||||||
\(150\) | 7.22257 | − | 4.77854i | 0.589720 | − | 0.390166i | ||||
\(151\) | 3.43774 | 0.279759 | 0.139880 | − | 0.990169i | \(-0.455328\pi\) | ||||
0.139880 | + | 0.990169i | \(0.455328\pi\) | |||||||
\(152\) | −4.06426 | − | 1.57537i | −0.329655 | − | 0.127779i | ||||
\(153\) | −1.98578 | − | 5.70416i | −0.160541 | − | 0.461154i | ||||
\(154\) | −5.35032 | − | 14.6999i | −0.431141 | − | 1.18455i | ||||
\(155\) | 5.75566 | + | 5.14689i | 0.462306 | + | 0.413408i | ||||
\(156\) | 9.71238 | − | 4.96948i | 0.777613 | − | 0.397877i | ||||
\(157\) | −1.32588 | − | 15.1548i | −0.105816 | − | 1.20949i | −0.844545 | − | 0.535485i | \(-0.820129\pi\) |
0.738729 | − | 0.674003i | \(-0.235427\pi\) | |||||||
\(158\) | 4.05176 | − | 5.78652i | 0.322341 | − | 0.460351i | ||||
\(159\) | 5.40967 | + | 17.5874i | 0.429015 | + | 1.39477i | ||||
\(160\) | −2.14059 | − | 0.646446i | −0.169228 | − | 0.0511060i | ||||
\(161\) | −3.44980 | + | 9.47824i | −0.271882 | + | 0.746990i | ||||
\(162\) | −8.04660 | − | 4.03140i | −0.632201 | − | 0.316736i | ||||
\(163\) | 1.29378 | + | 4.82847i | 0.101337 | + | 0.378195i | 0.997904 | − | 0.0647136i | \(-0.0206134\pi\) |
−0.896567 | + | 0.442908i | \(0.853947\pi\) | |||||||
\(164\) | 4.51041 | + | 7.81227i | 0.352204 | + | 0.610036i | ||||
\(165\) | −3.62998 | − | 19.9881i | −0.282594 | − | 1.55607i | ||||
\(166\) | −2.67251 | − | 2.24250i | −0.207427 | − | 0.174052i | ||||
\(167\) | 1.27084 | − | 14.5258i | 0.0983405 | − | 1.12404i | −0.773350 | − | 0.633980i | \(-0.781420\pi\) |
0.871690 | − | 0.490057i | \(-0.163024\pi\) | |||||||
\(168\) | −4.78614 | + | 1.94318i | −0.369259 | + | 0.149919i | ||||
\(169\) | 9.12350 | + | 25.0666i | 0.701808 | + | 1.92820i | ||||
\(170\) | −3.82597 | − | 2.37257i | −0.293438 | − | 0.181968i | ||||
\(171\) | −12.9492 | + | 1.82159i | −0.990250 | + | 0.139301i | ||||
\(172\) | 4.08126 | + | 4.08126i | 0.311193 | + | 0.311193i | ||||
\(173\) | 1.15563 | + | 0.538881i | 0.0878613 | + | 0.0409704i | 0.466052 | − | 0.884757i | \(-0.345676\pi\) |
−0.378191 | + | 0.925728i | \(0.623454\pi\) | |||||||
\(174\) | 7.04619 | + | 2.97683i | 0.534171 | + | 0.225673i | ||||
\(175\) | −5.43897 | − | 13.8844i | −0.411148 | − | 1.04956i | ||||
\(176\) | −3.37162 | + | 4.01814i | −0.254145 | + | 0.302879i | ||||
\(177\) | −5.18258 | − | 5.73624i | −0.389547 | − | 0.431162i | ||||
\(178\) | −8.80050 | − | 2.35809i | −0.659625 | − | 0.176746i | ||||
\(179\) | −2.67508 | + | 4.63337i | −0.199945 | + | 0.346314i | −0.948510 | − | 0.316747i | \(-0.897410\pi\) |
0.748566 | + | 0.663061i | \(0.230743\pi\) | |||||||
\(180\) | −6.55196 | + | 1.43939i | −0.488354 | + | 0.107286i | ||||
\(181\) | −15.1461 | − | 5.51273i | −1.12580 | − | 0.409758i | −0.289034 | − | 0.957319i | \(-0.593334\pi\) |
−0.836766 | + | 0.547561i | \(0.815556\pi\) | |||||||
\(182\) | −4.86199 | − | 18.1452i | −0.360395 | − | 1.34501i | ||||
\(183\) | −17.4775 | − | 9.25496i | −1.29198 | − | 0.684147i | ||||
\(184\) | 3.33070 | − | 0.587293i | 0.245543 | − | 0.0432958i | ||||
\(185\) | −10.9762 | − | 5.54547i | −0.806989 | − | 0.407711i | ||||
\(186\) | −2.72430 | − | 5.32439i | −0.199755 | − | 0.390403i | ||||
\(187\) | −8.65061 | + | 6.05722i | −0.632595 | + | 0.442948i | ||||
\(188\) | −8.51881 | − | 3.97239i | −0.621298 | − | 0.289716i | ||||
\(189\) | −9.69096 | + | 12.0927i | −0.704914 | + | 0.879613i | ||||
\(190\) | −6.64619 | + | 7.12939i | −0.482165 | + | 0.517220i | ||||
\(191\) | 21.6744i | 1.56830i | 0.620569 | + | 0.784152i | \(0.286902\pi\) | ||||
−0.620569 | + | 0.784152i | \(0.713098\pi\) | |||||||
\(192\) | 1.36668 | + | 1.06404i | 0.0986318 | + | 0.0767904i | ||||
\(193\) | 3.22893 | + | 4.61139i | 0.232423 | + | 0.331935i | 0.918374 | − | 0.395713i | \(-0.129502\pi\) |
−0.685951 | + | 0.727648i | \(0.740614\pi\) | |||||||
\(194\) | −10.1237 | + | 8.49480i | −0.726840 | + | 0.609891i | ||||
\(195\) | −2.25051 | − | 24.2913i | −0.161162 | − | 1.73953i | ||||
\(196\) | 0.328952 | + | 1.86558i | 0.0234966 | + | 0.133256i | ||||
\(197\) | −13.6769 | − | 3.66471i | −0.974438 | − | 0.261100i | −0.263738 | − | 0.964594i | \(-0.584955\pi\) |
−0.710701 | + | 0.703494i | \(0.751622\pi\) | |||||||
\(198\) | −2.95012 | + | 15.4569i | −0.209656 | + | 1.09848i | ||||
\(199\) | −1.09449 | + | 3.00709i | −0.0775864 | + | 0.213167i | −0.972422 | − | 0.233230i | \(-0.925071\pi\) |
0.894835 | + | 0.446396i | \(0.147293\pi\) | |||||||
\(200\) | −3.11995 | + | 3.90716i | −0.220614 | + | 0.276278i | ||||
\(201\) | 11.2851 | − | 12.1431i | 0.795991 | − | 0.856505i | ||||
\(202\) | −0.605864 | + | 2.26112i | −0.0426284 | + | 0.159092i | ||||
\(203\) | 7.55448 | − | 10.7889i | 0.530220 | − | 0.757233i | ||||
\(204\) | 2.10335 | + | 2.78140i | 0.147264 | + | 0.194737i | ||||
\(205\) | 19.9652 | − | 2.87558i | 1.39443 | − | 0.200840i | ||||
\(206\) | −2.30150 | − | 0.405817i | −0.160353 | − | 0.0282746i | ||||
\(207\) | 7.86341 | − | 6.41196i | 0.546545 | − | 0.445662i | ||||
\(208\) | −4.45395 | + | 4.45395i | −0.308826 | + | 0.308826i | ||||
\(209\) | 9.23130 | + | 20.9173i | 0.638542 | + | 1.44688i | ||||
\(210\) | 0.0591012 | + | 11.5504i | 0.00407837 | + | 0.797054i | ||||
\(211\) | −6.54194 | + | 2.38107i | −0.450366 | + | 0.163920i | −0.557238 | − | 0.830353i | \(-0.688139\pi\) |
0.106872 | + | 0.994273i | \(0.465916\pi\) | |||||||
\(212\) | −6.09345 | − | 8.70234i | −0.418500 | − | 0.597679i | ||||
\(213\) | 3.19987 | + | 1.03370i | 0.219252 | + | 0.0708281i | ||||
\(214\) | 6.77626 | − | 8.07564i | 0.463216 | − | 0.552039i | ||||
\(215\) | 11.8628 | − | 5.08341i | 0.809036 | − | 0.346686i | ||||
\(216\) | 5.13625 | + | 0.786723i | 0.349478 | + | 0.0535297i | ||||
\(217\) | −9.94730 | + | 2.66537i | −0.675267 | + | 0.180937i | ||||
\(218\) | 2.07074 | + | 4.44072i | 0.140248 | + | 0.300763i | ||||
\(219\) | 12.4953 | − | 19.3127i | 0.844354 | − | 1.30503i | ||||
\(220\) | 5.54176 | + | 10.3371i | 0.373625 | + | 0.696926i | ||||
\(221\) | −10.9825 | + | 6.34076i | −0.738764 | + | 0.426526i | ||||
\(222\) | 6.38591 | + | 7.06812i | 0.428594 | + | 0.474381i | ||||
\(223\) | 11.2959 | − | 0.988260i | 0.756427 | − | 0.0661788i | 0.297583 | − | 0.954696i | \(-0.403819\pi\) |
0.458844 | + | 0.888517i | \(0.348264\pi\) | |||||||
\(224\) | 2.28461 | − | 1.91701i | 0.152647 | − | 0.128086i | ||||
\(225\) | −2.45342 | + | 14.7980i | −0.163561 | + | 0.986533i | ||||
\(226\) | −8.76520 | + | 3.19027i | −0.583053 | + | 0.212214i | ||||
\(227\) | 6.24355 | − | 6.24355i | 0.414399 | − | 0.414399i | −0.468869 | − | 0.883268i | \(-0.655338\pi\) |
0.883268 | + | 0.468869i | \(0.155338\pi\) | |||||||
\(228\) | 6.79093 | − | 3.29899i | 0.449740 | − | 0.218481i | ||||
\(229\) | − | 9.89106i | − | 0.653620i | −0.945090 | − | 0.326810i | \(-0.894026\pi\) | ||
0.945090 | − | 0.326810i | \(-0.105974\pi\) | |||||||
\(230\) | 1.54704 | − | 7.40264i | 0.102009 | − | 0.488116i | ||||
\(231\) | 24.9590 | + | 10.5445i | 1.64218 | + | 0.693779i | ||||
\(232\) | −4.39947 | − | 0.384903i | −0.288839 | − | 0.0252701i | ||||
\(233\) | −1.18431 | − | 13.5367i | −0.0775865 | − | 0.886817i | −0.930865 | − | 0.365363i | \(-0.880945\pi\) |
0.853279 | − | 0.521455i | \(-0.174611\pi\) | |||||||
\(234\) | −5.14691 | + | 18.1821i | −0.336464 | + | 1.18860i | ||||
\(235\) | −15.3224 | + | 14.3866i | −0.999521 | + | 0.938480i | ||||
\(236\) | 3.86535 | + | 2.23166i | 0.251613 | + | 0.145269i | ||||
\(237\) | 2.56416 | + | 11.9636i | 0.166560 | + | 0.777117i | ||||
\(238\) | 5.44182 | − | 2.53756i | 0.352741 | − | 0.164486i | ||||
\(239\) | 7.13591 | − | 12.3598i | 0.461583 | − | 0.799486i | −0.537457 | − | 0.843291i | \(-0.680615\pi\) |
0.999040 | + | 0.0438055i | \(0.0139482\pi\) | |||||||
\(240\) | 3.34415 | − | 1.95363i | 0.215864 | − | 0.126106i | ||||
\(241\) | 2.30887 | + | 13.0942i | 0.148727 | + | 0.843475i | 0.964298 | + | 0.264818i | \(0.0853118\pi\) |
−0.815571 | + | 0.578657i | \(0.803577\pi\) | |||||||
\(242\) | 16.4504 | − | 1.43923i | 1.05747 | − | 0.0925170i | ||||
\(243\) | 14.6026 | − | 5.45564i | 0.936757 | − | 0.349980i | ||||
\(244\) | 11.2446 | + | 1.98273i | 0.719863 | + | 0.126931i | ||||
\(245\) | 4.14634 | + | 0.866521i | 0.264900 | + | 0.0553600i | ||||
\(246\) | −15.2300 | − | 3.48892i | −0.971031 | − | 0.222445i | ||||
\(247\) | 8.85400 | + | 25.9892i | 0.563367 | + | 1.65365i | ||||
\(248\) | 2.44168 | + | 2.44168i | 0.155047 | + | 0.155047i | ||||
\(249\) | 5.99633 | − | 0.746587i | 0.380002 | − | 0.0473130i | ||||
\(250\) | 5.52038 | + | 9.72242i | 0.349139 | + | 0.614900i | ||||
\(251\) | −12.7462 | − | 15.1904i | −0.804534 | − | 0.958807i | 0.195225 | − | 0.980759i | \(-0.437456\pi\) |
−0.999759 | + | 0.0219517i | \(0.993012\pi\) | |||||||
\(252\) | 3.17796 | − | 8.36360i | 0.200193 | − | 0.526857i | ||||
\(253\) | −14.5318 | − | 10.1753i | −0.913608 | − | 0.639715i | ||||
\(254\) | −5.03382 | − | 8.71883i | −0.315850 | − | 0.547068i | ||||
\(255\) | 7.52140 | − | 2.05666i | 0.471009 | − | 0.128793i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −3.30755 | + | 1.54234i | −0.206319 | + | 0.0962083i | −0.523031 | − | 0.852313i | \(-0.675199\pi\) |
0.316712 | + | 0.948522i | \(0.397421\pi\) | |||||||
\(258\) | −9.99031 | + | 0.365842i | −0.621970 | + | 0.0227763i | ||||
\(259\) | 14.2044 | − | 8.20090i | 0.882617 | − | 0.509579i | ||||
\(260\) | 5.54761 | + | 12.9461i | 0.344048 | + | 0.802881i | ||||
\(261\) | −12.0850 | + | 5.42982i | −0.748045 | + | 0.336097i | ||||
\(262\) | 19.1698 | + | 1.67714i | 1.18431 | + | 0.103614i | ||||
\(263\) | 7.32234 | − | 5.12716i | 0.451515 | − | 0.316154i | −0.325606 | − | 0.945506i | \(-0.605568\pi\) |
0.777121 | + | 0.629351i | \(0.216679\pi\) | |||||||
\(264\) | −1.12250 | − | 9.01553i | −0.0690850 | − | 0.554868i | ||||
\(265\) | −23.1278 | + | 5.42286i | −1.42073 | + | 0.333124i | ||||
\(266\) | −3.10372 | − | 12.6238i | −0.190302 | − | 0.774013i | ||||
\(267\) | 13.3685 | − | 8.38515i | 0.818140 | − | 0.513163i | ||||
\(268\) | −4.04485 | + | 8.67420i | −0.247078 | + | 0.529861i | ||||
\(269\) | −1.30023 | + | 7.37396i | −0.0792763 | + | 0.449598i | 0.919169 | + | 0.393863i | \(0.128861\pi\) |
−0.998446 | + | 0.0557354i | \(0.982250\pi\) | |||||||
\(270\) | 5.89923 | − | 10.0099i | 0.359016 | − | 0.609186i | ||||
\(271\) | −2.96649 | − | 2.48918i | −0.180202 | − | 0.151207i | 0.548225 | − | 0.836331i | \(-0.315304\pi\) |
−0.728427 | + | 0.685124i | \(0.759748\pi\) | |||||||
\(272\) | −1.64921 | − | 1.15479i | −0.0999979 | − | 0.0700193i | ||||
\(273\) | 28.7544 | + | 15.2265i | 1.74030 | + | 0.921547i | ||||
\(274\) | 2.92827 | + | 1.69064i | 0.176903 | + | 0.102135i | ||||
\(275\) | 26.0635 | − | 2.91976i | 1.57169 | − | 0.176068i | ||||
\(276\) | −3.18212 | + | 4.91829i | −0.191541 | + | 0.296046i | ||||
\(277\) | 18.1472 | − | 4.86254i | 1.09036 | − | 0.292162i | 0.331528 | − | 0.943446i | \(-0.392436\pi\) |
0.758834 | + | 0.651284i | \(0.225769\pi\) | |||||||
\(278\) | −1.53074 | + | 5.71282i | −0.0918079 | + | 0.342632i | ||||
\(279\) | 9.96752 | + | 2.82157i | 0.596740 | + | 0.168923i | ||||
\(280\) | −2.08243 | − | 6.33524i | −0.124449 | − | 0.378603i | ||||
\(281\) | −10.8277 | − | 12.9040i | −0.645928 | − | 0.769787i | 0.339366 | − | 0.940655i | \(-0.389788\pi\) |
−0.985294 | + | 0.170867i | \(0.945343\pi\) | |||||||
\(282\) | 15.0845 | − | 6.12433i | 0.898270 | − | 0.364699i | ||||
\(283\) | −9.71324 | + | 20.8301i | −0.577392 | + | 1.23822i | 0.373191 | + | 0.927754i | \(0.378263\pi\) |
−0.950584 | + | 0.310468i | \(0.899514\pi\) | |||||||
\(284\) | −1.94145 | −0.115204 | ||||||||
\(285\) | −1.20882 | − | 16.8386i | −0.0716041 | − | 0.997433i | ||||
\(286\) | 33.0393 | 1.95366 | ||||||||
\(287\) | −11.3698 | + | 24.3826i | −0.671137 | + | 1.43926i | ||||
\(288\) | −2.96146 | + | 0.479356i | −0.174505 | + | 0.0282463i | ||||
\(289\) | 8.32190 | + | 9.91765i | 0.489523 | + | 0.583391i | ||||
\(290\) | −4.45308 | + | 8.81405i | −0.261494 | + | 0.517579i | ||||
\(291\) | 1.15919 | − | 22.8607i | 0.0679526 | − | 1.34012i | ||||
\(292\) | −3.43724 | + | 12.8280i | −0.201150 | + | 0.750700i | ||||
\(293\) | 22.5939 | − | 6.05403i | 1.31995 | − | 0.353680i | 0.470992 | − | 0.882138i | \(-0.343896\pi\) |
0.848960 | + | 0.528458i | \(0.177229\pi\) | |||||||
\(294\) | −2.75481 | − | 1.78236i | −0.160664 | − | 0.103949i | ||||
\(295\) | 7.84351 | − | 6.17134i | 0.456667 | − | 0.359309i | ||||
\(296\) | −4.76283 | − | 2.74982i | −0.276834 | − | 0.159830i | ||||
\(297\) | −16.1324 | − | 21.9683i | −0.936095 | − | 1.27473i | ||||
\(298\) | −7.18339 | − | 5.02987i | −0.416123 | − | 0.291372i | ||||
\(299\) | −16.3192 | − | 13.6934i | −0.943763 | − | 0.791912i | ||||
\(300\) | −1.27844 | − | 8.56537i | −0.0738108 | − | 0.494522i | ||||
\(301\) | −2.98908 | + | 16.9519i | −0.172287 | + | 0.977091i | ||||
\(302\) | 1.45285 | − | 3.11565i | 0.0836022 | − | 0.179285i | ||||
\(303\) | −2.15440 | − | 3.43478i | −0.123767 | − | 0.197323i | ||||
\(304\) | −3.14540 | + | 3.01769i | −0.180401 | + | 0.173077i | ||||
\(305\) | 13.4556 | − | 21.6982i | 0.770464 | − | 1.24243i | ||||
\(306\) | −6.00896 | − | 0.610958i | −0.343509 | − | 0.0349261i | ||||
\(307\) | 2.56772 | − | 1.79793i | 0.146547 | − | 0.102614i | −0.498003 | − | 0.867175i | \(-0.665933\pi\) |
0.644551 | + | 0.764562i | \(0.277044\pi\) | |||||||
\(308\) | −15.5838 | − | 1.36340i | −0.887968 | − | 0.0776871i | ||||
\(309\) | 3.22859 | − | 2.44152i | 0.183668 | − | 0.138893i | ||||
\(310\) | 7.09711 | − | 3.04123i | 0.403089 | − | 0.172730i | ||||
\(311\) | 4.79978 | − | 2.77115i | 0.272171 | − | 0.157138i | −0.357703 | − | 0.933835i | \(-0.616440\pi\) |
0.629874 | + | 0.776698i | \(0.283107\pi\) | |||||||
\(312\) | −0.399249 | − | 10.9026i | −0.0226030 | − | 0.617238i | ||||
\(313\) | 30.4975 | − | 14.2212i | 1.72382 | − | 0.803832i | 0.731260 | − | 0.682099i | \(-0.238933\pi\) |
0.992563 | − | 0.121733i | \(-0.0388452\pi\) | |||||||
\(314\) | −14.2953 | − | 5.20306i | −0.806730 | − | 0.293626i | ||||
\(315\) | −14.7242 | − | 13.5442i | −0.829615 | − | 0.763127i | ||||
\(316\) | −3.53202 | − | 6.11763i | −0.198691 | − | 0.344144i | ||||
\(317\) | −1.93373 | − | 1.35401i | −0.108609 | − | 0.0760490i | 0.518010 | − | 0.855375i | \(-0.326673\pi\) |
−0.626619 | + | 0.779326i | \(0.715562\pi\) | |||||||
\(318\) | 18.2259 | + | 2.52995i | 1.02206 | + | 0.141873i | ||||
\(319\) | 14.8900 | + | 17.7452i | 0.833679 | + | 0.993540i | ||||
\(320\) | −1.49053 | + | 1.66683i | −0.0833231 | + | 0.0931786i | ||||
\(321\) | 2.25599 | + | 18.1194i | 0.125917 | + | 1.01132i | ||||
\(322\) | 7.13225 | + | 7.13225i | 0.397465 | + | 0.397465i | ||||
\(323\) | −7.68935 | + | 4.22952i | −0.427847 | + | 0.235337i | ||||
\(324\) | −7.05433 | + | 5.58896i | −0.391907 | + | 0.310498i | ||||
\(325\) | 31.4849 | − | 0.765025i | 1.74647 | − | 0.0424360i | ||||
\(326\) | 4.92285 | + | 0.868032i | 0.272652 | + | 0.0480758i | ||||
\(327\) | −8.07576 | − | 2.60883i | −0.446590 | − | 0.144269i | ||||
\(328\) | 8.98650 | − | 0.786217i | 0.496197 | − | 0.0434116i | ||||
\(329\) | −4.86778 | − | 27.6065i | −0.268369 | − | 1.52200i | ||||
\(330\) | −19.6494 | − | 5.15743i | −1.08167 | − | 0.283907i | ||||
\(331\) | −4.03310 | + | 6.98554i | −0.221679 | + | 0.383960i | −0.955318 | − | 0.295580i | \(-0.904487\pi\) |
0.733639 | + | 0.679540i | \(0.237820\pi\) | |||||||
\(332\) | −3.16185 | + | 1.47439i | −0.173529 | + | 0.0809179i | ||||
\(333\) | −16.4973 | − | 0.231965i | −0.904046 | − | 0.0127116i | ||||
\(334\) | −12.6277 | − | 7.29062i | −0.690958 | − | 0.398925i | ||||
\(335\) | 14.6491 | + | 15.6019i | 0.800363 | + | 0.852421i | ||||
\(336\) | −0.261592 | + | 5.15894i | −0.0142710 | + | 0.281443i | ||||
\(337\) | −1.21997 | − | 13.9443i | −0.0664558 | − | 0.759594i | −0.954183 | − | 0.299224i | \(-0.903272\pi\) |
0.887727 | − | 0.460370i | \(-0.152283\pi\) | |||||||
\(338\) | 26.5738 | + | 2.32491i | 1.44543 | + | 0.126458i | ||||
\(339\) | 6.28745 | − | 14.8825i | 0.341488 | − | 0.808305i | ||||
\(340\) | −3.76720 | + | 2.46481i | −0.204305 | + | 0.133673i | ||||
\(341\) | − | 18.1124i | − | 0.980840i | ||||||
\(342\) | −3.82164 | + | 12.5058i | −0.206651 | + | 0.676236i | ||||
\(343\) | 10.7669 | − | 10.7669i | 0.581361 | − | 0.581361i | ||||
\(344\) | 5.42369 | − | 1.97406i | 0.292426 | − | 0.106434i | ||||
\(345\) | 7.56794 | + | 10.6913i | 0.407444 | + | 0.575600i | ||||
\(346\) | 0.976785 | − | 0.819620i | 0.0525123 | − | 0.0440630i | ||||
\(347\) | −0.935054 | + | 0.0818066i | −0.0501963 | + | 0.00439161i | −0.112226 | − | 0.993683i | \(-0.535798\pi\) |
0.0620299 | + | 0.998074i | \(0.480243\pi\) | |||||||
\(348\) | 5.67578 | − | 5.12796i | 0.304254 | − | 0.274887i | ||||
\(349\) | −7.28582 | + | 4.20647i | −0.390001 | + | 0.225167i | −0.682161 | − | 0.731202i | \(-0.738959\pi\) |
0.292160 | + | 0.956370i | \(0.405626\pi\) | |||||||
\(350\) | −14.8821 | − | 0.938415i | −0.795484 | − | 0.0501604i | ||||
\(351\) | −16.9996 | − | 27.9687i | −0.907373 | − | 1.49286i | ||||
\(352\) | 2.21676 | + | 4.75386i | 0.118154 | + | 0.253382i | ||||
\(353\) | −11.9516 | + | 3.20242i | −0.636119 | + | 0.170447i | −0.562445 | − | 0.826835i | \(-0.690139\pi\) |
−0.0736740 | + | 0.997282i | \(0.523472\pi\) | |||||||
\(354\) | −7.38905 | + | 2.27278i | −0.392724 | + | 0.120797i | ||||
\(355\) | −1.61248 | + | 4.03065i | −0.0855813 | + | 0.213925i | ||||
\(356\) | −5.85641 | + | 6.97939i | −0.310389 | + | 0.369907i | ||||
\(357\) | −3.19696 | + | 9.89633i | −0.169201 | + | 0.523769i | ||||
\(358\) | 3.06872 | + | 4.38259i | 0.162187 | + | 0.231627i | ||||
\(359\) | 20.5893 | − | 7.49391i | 1.08666 | − | 0.395513i | 0.264280 | − | 0.964446i | \(-0.414866\pi\) |
0.822384 | + | 0.568933i | \(0.192644\pi\) | |||||||
\(360\) | −1.46445 | + | 6.54640i | −0.0771832 | + | 0.345026i | ||||
\(361\) | 5.75322 | + | 18.1080i | 0.302801 | + | 0.953054i | ||||
\(362\) | −11.3972 | + | 11.3972i | −0.599026 | + | 0.599026i | ||||
\(363\) | −17.5708 | + | 22.5684i | −0.922227 | + | 1.18453i | ||||
\(364\) | −18.4999 | − | 3.26203i | −0.969658 | − | 0.170977i | ||||
\(365\) | 23.7773 | + | 17.7903i | 1.24456 | + | 0.931189i | ||||
\(366\) | −15.7742 | + | 11.9287i | −0.824529 | + | 0.623523i | ||||
\(367\) | −1.97843 | + | 2.82549i | −0.103273 | + | 0.147489i | −0.867462 | − | 0.497503i | \(-0.834250\pi\) |
0.764189 | + | 0.644992i | \(0.223139\pi\) | |||||||
\(368\) | 0.875348 | − | 3.26684i | 0.0456307 | − | 0.170296i | ||||
\(369\) | 22.3843 | − | 15.2092i | 1.16528 | − | 0.791759i | ||||
\(370\) | −9.66466 | + | 7.60424i | −0.502442 | + | 0.395325i | ||||
\(371\) | 10.8363 | − | 29.7725i | 0.562592 | − | 1.54571i | ||||
\(372\) | −5.97687 | + | 0.218871i | −0.309886 | + | 0.0113479i | ||||
\(373\) | −30.8790 | − | 8.27400i | −1.59885 | − | 0.428411i | −0.654157 | − | 0.756359i | \(-0.726977\pi\) |
−0.944696 | + | 0.327947i | \(0.893643\pi\) | |||||||
\(374\) | 1.83380 | + | 10.4000i | 0.0948236 | + | 0.537771i | ||||
\(375\) | −18.8444 | − | 4.45980i | −0.973119 | − | 0.230303i | ||||
\(376\) | −7.20041 | + | 6.04186i | −0.371333 | + | 0.311585i | ||||
\(377\) | 15.9554 | + | 22.7867i | 0.821744 | + | 1.17357i | ||||
\(378\) | 6.86411 | + | 13.8936i | 0.353052 | + | 0.714609i | ||||
\(379\) | − | 11.3542i | − | 0.583228i | −0.956536 | − | 0.291614i | \(-0.905808\pi\) | ||
0.956536 | − | 0.291614i | \(-0.0941922\pi\) | |||||||
\(380\) | 3.65262 | + | 9.03650i | 0.187375 | + | 0.463563i | ||||
\(381\) | 16.9974 | + | 3.89378i | 0.870801 | + | 0.199485i | ||||
\(382\) | 19.6437 | + | 9.15999i | 1.00506 | + | 0.468666i | ||||
\(383\) | −0.526180 | + | 0.368435i | −0.0268865 | + | 0.0188262i | −0.586942 | − | 0.809629i | \(-0.699669\pi\) |
0.560056 | + | 0.828455i | \(0.310780\pi\) | |||||||
\(384\) | 1.54193 | − | 0.788952i | 0.0786864 | − | 0.0402610i | ||||
\(385\) | −15.7737 | + | 31.2211i | −0.803901 | + | 1.59117i | ||||
\(386\) | 5.54394 | − | 0.977546i | 0.282179 | − | 0.0497558i | ||||
\(387\) | 11.3155 | − | 13.1065i | 0.575197 | − | 0.666242i | ||||
\(388\) | 3.42044 | + | 12.7653i | 0.173647 | + | 0.648058i | ||||
\(389\) | −4.84457 | − | 1.76328i | −0.245629 | − | 0.0894018i | 0.216272 | − | 0.976333i | \(-0.430610\pi\) |
−0.461901 | + | 0.886931i | \(0.652833\pi\) | |||||||
\(390\) | −22.9665 | − | 8.22627i | −1.16295 | − | 0.416554i | ||||
\(391\) | 3.40459 | − | 5.89693i | 0.172178 | − | 0.298221i | ||||
\(392\) | 1.82981 | + | 0.490296i | 0.0924194 | + | 0.0247637i | ||||
\(393\) | −24.7310 | + | 22.3440i | −1.24752 | + | 1.12711i | ||||
\(394\) | −9.10146 | + | 10.8467i | −0.458525 | + | 0.546449i | ||||
\(395\) | −15.6343 | + | 2.25181i | −0.786648 | + | 0.113301i | ||||
\(396\) | 12.7619 | + | 9.20609i | 0.641312 | + | 0.462624i | ||||
\(397\) | −32.9781 | − | 15.3779i | −1.65512 | − | 0.771797i | −0.999866 | − | 0.0163919i | \(-0.994782\pi\) |
−0.655258 | − | 0.755405i | \(-0.727440\pi\) | |||||||
\(398\) | 2.26280 | + | 2.26280i | 0.113424 | + | 0.113424i | ||||
\(399\) | 19.6760 | + | 10.9469i | 0.985030 | + | 0.548032i | ||||
\(400\) | 2.22254 | + | 4.47887i | 0.111127 | + | 0.223944i | ||||
\(401\) | 6.98171 | + | 19.1821i | 0.348650 | + | 0.957908i | 0.982796 | + | 0.184695i | \(0.0591296\pi\) |
−0.634146 | + | 0.773213i | \(0.718648\pi\) | |||||||
\(402\) | −6.23605 | − | 15.3597i | −0.311026 | − | 0.766071i | ||||
\(403\) | 1.89566 | − | 21.6675i | 0.0944296 | − | 1.07933i | ||||
\(404\) | 1.79322 | + | 1.50469i | 0.0892159 | + | 0.0748610i | ||||
\(405\) | 5.74426 | + | 19.2874i | 0.285434 | + | 0.958398i | ||||
\(406\) | −6.58541 | − | 11.4063i | −0.326829 | − | 0.566084i | ||||
\(407\) | 7.46623 | + | 27.8644i | 0.370087 | + | 1.38119i | ||||
\(408\) | 3.40972 | − | 0.730807i | 0.168806 | − | 0.0361804i | ||||
\(409\) | −2.33415 | + | 6.41301i | −0.115416 | + | 0.317103i | −0.983928 | − | 0.178565i | \(-0.942855\pi\) |
0.868512 | + | 0.495668i | \(0.165077\pi\) | |||||||
\(410\) | 5.83148 | − | 19.3099i | 0.287996 | − | 0.953646i | ||||
\(411\) | −5.59773 | + | 1.72179i | −0.276116 | + | 0.0849296i | ||||
\(412\) | −1.34045 | + | 1.91437i | −0.0660394 | + | 0.0943140i | ||||
\(413\) | 1.16014 | + | 13.2605i | 0.0570869 | + | 0.652506i | ||||
\(414\) | −2.48799 | − | 9.83648i | −0.122278 | − | 0.483437i | ||||
\(415\) | 0.434914 | + | 7.78887i | 0.0213491 | + | 0.382341i | ||||
\(416\) | 2.15433 | + | 5.91897i | 0.105625 | + | 0.290201i | ||||
\(417\) | −5.44319 | − | 8.67813i | −0.266554 | − | 0.424970i | ||||
\(418\) | 22.8589 | + | 0.473652i | 1.11806 | + | 0.0231671i | ||||
\(419\) | 6.76793 | 0.330635 | 0.165318 | − | 0.986240i | \(-0.447135\pi\) | ||||
0.165318 | + | 0.986240i | \(0.447135\pi\) | |||||||
\(420\) | 10.4932 | + | 4.82785i | 0.512016 | + | 0.235575i | ||||
\(421\) | 0.526979 | − | 2.98865i | 0.0256834 | − | 0.145658i | −0.969269 | − | 0.246002i | \(-0.920883\pi\) |
0.994953 | + | 0.100344i | \(0.0319943\pi\) | |||||||
\(422\) | −0.606759 | + | 6.93529i | −0.0295366 | + | 0.337605i | ||||
\(423\) | −10.0160 | + | 26.3596i | −0.486995 | + | 1.28165i | ||||
\(424\) | −10.4622 | + | 1.84477i | −0.508090 | + | 0.0895899i | ||||
\(425\) | 1.98834 | + | 9.86824i | 0.0964484 | + | 0.478680i | ||||
\(426\) | 2.28918 | − | 2.46321i | 0.110911 | − | 0.119343i | ||||
\(427\) | 14.3913 | + | 30.8622i | 0.696442 | + | 1.49353i | ||||
\(428\) | −4.45524 | − | 9.55429i | −0.215352 | − | 0.461824i | ||||
\(429\) | −38.9569 | + | 41.9185i | −1.88085 | + | 2.02384i | ||||
\(430\) | 0.406301 | − | 12.8997i | 0.0195936 | − | 0.622078i | ||||
\(431\) | −39.1867 | + | 6.90968i | −1.88756 | + | 0.332828i | −0.993379 | − | 0.114881i | \(-0.963351\pi\) |
−0.894179 | + | 0.447709i | \(0.852240\pi\) | |||||||
\(432\) | 2.88369 | − | 4.32254i | 0.138741 | − | 0.207968i | ||||
\(433\) | 1.12085 | − | 12.8114i | 0.0538645 | − | 0.615674i | −0.920506 | − | 0.390727i | \(-0.872224\pi\) |
0.974371 | − | 0.224947i | \(-0.0722209\pi\) | |||||||
\(434\) | −1.78826 | + | 10.1418i | −0.0858394 | + | 0.486820i | ||||
\(435\) | −5.93213 | − | 16.0425i | −0.284424 | − | 0.769179i | ||||
\(436\) | 4.89979 | 0.234657 | ||||||||
\(437\) | −11.0944 | − | 9.70800i | −0.530718 | − | 0.464397i | ||||
\(438\) | −12.2225 | − | 19.4865i | −0.584016 | − | 0.931101i | ||||
\(439\) | −0.696102 | − | 1.91253i | −0.0332232 | − | 0.0912799i | 0.921972 | − | 0.387256i | \(-0.126577\pi\) |
−0.955195 | + | 0.295977i | \(0.904355\pi\) | |||||||
\(440\) | 11.7106 | − | 0.653896i | 0.558282 | − | 0.0311733i | ||||
\(441\) | 5.50957 | − | 1.39356i | 0.262360 | − | 0.0663602i | ||||
\(442\) | 1.10527 | + | 12.6333i | 0.0525722 | + | 0.600903i | ||||
\(443\) | 20.9141 | − | 29.8684i | 0.993659 | − | 1.41909i | 0.0874952 | − | 0.996165i | \(-0.472114\pi\) |
0.906164 | − | 0.422927i | \(-0.138997\pi\) | |||||||
\(444\) | 9.10469 | − | 2.80048i | 0.432089 | − | 0.132905i | ||||
\(445\) | 9.62587 | + | 17.9552i | 0.456310 | + | 0.851159i | ||||
\(446\) | 3.87817 | − | 10.6552i | 0.183637 | − | 0.504538i | ||||
\(447\) | 14.8516 | − | 3.18315i | 0.702456 | − | 0.150558i | ||||
\(448\) | −0.771887 | − | 2.88072i | −0.0364682 | − | 0.136101i | ||||
\(449\) | −14.9035 | − | 25.8136i | −0.703338 | − | 1.21822i | −0.967288 | − | 0.253681i | \(-0.918359\pi\) |
0.263950 | − | 0.964536i | \(-0.414975\pi\) | |||||||
\(450\) | 12.3747 | + | 8.47746i | 0.583348 | + | 0.399631i | ||||
\(451\) | −36.2470 | − | 30.4148i | −1.70680 | − | 1.43218i | ||||
\(452\) | −0.812966 | + | 9.29224i | −0.0382387 | + | 0.437070i | ||||
\(453\) | 2.23990 | + | 5.51697i | 0.105240 | + | 0.259210i | ||||
\(454\) | −3.01994 | − | 8.29722i | −0.141733 | − | 0.389408i | ||||
\(455\) | −22.1374 | + | 35.6983i | −1.03782 | + | 1.67356i | ||||
\(456\) | −0.119928 | − | 7.54888i | −0.00561615 | − | 0.353509i | ||||
\(457\) | −7.39630 | − | 7.39630i | −0.345984 | − | 0.345984i | 0.512627 | − | 0.858611i | \(-0.328672\pi\) |
−0.858611 | + | 0.512627i | \(0.828672\pi\) | |||||||
\(458\) | −8.96434 | − | 4.18014i | −0.418876 | − | 0.195325i | ||||
\(459\) | 7.86034 | − | 6.90344i | 0.366889 | − | 0.322225i | ||||
\(460\) | −6.05527 | − | 4.53059i | −0.282328 | − | 0.211240i | ||||
\(461\) | 13.7098 | − | 16.3386i | 0.638527 | − | 0.760967i | −0.345610 | − | 0.938378i | \(-0.612328\pi\) |
0.984137 | + | 0.177412i | \(0.0567724\pi\) | |||||||
\(462\) | 20.1047 | − | 18.1642i | 0.935356 | − | 0.845076i | ||||
\(463\) | −8.49534 | − | 2.27632i | −0.394812 | − | 0.105789i | 0.0559505 | − | 0.998434i | \(-0.482181\pi\) |
−0.450762 | + | 0.892644i | \(0.648848\pi\) | |||||||
\(464\) | −2.20814 | + | 3.82460i | −0.102510 | + | 0.177553i | ||||
\(465\) | −4.50969 | + | 12.5904i | −0.209132 | + | 0.583864i | ||||
\(466\) | −12.7689 | − | 4.64750i | −0.591508 | − | 0.215291i | ||||
\(467\) | 3.02788 | + | 11.3002i | 0.140113 | + | 0.522910i | 0.999924 | + | 0.0122978i | \(0.00391461\pi\) |
−0.859811 | + | 0.510612i | \(0.829419\pi\) | |||||||
\(468\) | 14.3034 | + | 12.3488i | 0.661173 | + | 0.570822i | ||||
\(469\) | −28.1101 | + | 4.95657i | −1.29800 | + | 0.228873i | ||||
\(470\) | 6.56320 | + | 19.9668i | 0.302738 | + | 0.921002i | ||||
\(471\) | 23.4570 | − | 12.0021i | 1.08084 | − | 0.553028i | ||||
\(472\) | 3.65614 | − | 2.56005i | 0.168287 | − | 0.117836i | ||||
\(473\) | −27.4382 | − | 12.7947i | −1.26161 | − | 0.588299i | ||||
\(474\) | 11.9263 | + | 2.73210i | 0.547794 | + | 0.125490i | ||||
\(475\) | 21.7944 | − | 0.0779288i | 0.999994 | − | 0.00357562i | ||||
\(476\) | − | 6.00438i | − | 0.275210i | ||||||
\(477\) | −24.7001 | + | 20.1409i | −1.13094 | + | 0.922187i | ||||
\(478\) | −8.18597 | − | 11.6908i | −0.374418 | − | 0.534724i | ||||
\(479\) | 12.2537 | − | 10.2821i | 0.559887 | − | 0.469801i | −0.318386 | − | 0.947961i | \(-0.603141\pi\) |
0.878272 | + | 0.478161i | \(0.158696\pi\) | |||||||
\(480\) | −0.357290 | − | 3.85647i | −0.0163080 | − | 0.176023i | ||||
\(481\) | 6.01540 | + | 34.1150i | 0.274279 | + | 1.55551i | ||||
\(482\) | 12.8432 | + | 3.44132i | 0.584991 | + | 0.156748i | ||||
\(483\) | −17.4587 | + | 0.639331i | −0.794397 | + | 0.0290906i | ||||
\(484\) | 5.64787 | − | 15.5174i | 0.256721 | − | 0.705336i | ||||
\(485\) | 29.3428 | + | 3.50102i | 1.33239 | + | 0.158973i | ||||
\(486\) | 1.22683 | − | 15.5401i | 0.0556503 | − | 0.704914i | ||||
\(487\) | 2.80344 | − | 10.4626i | 0.127036 | − | 0.474105i | −0.872868 | − | 0.487956i | \(-0.837743\pi\) |
0.999904 | + | 0.0138515i | \(0.00440921\pi\) | |||||||
\(488\) | 6.54915 | − | 9.35315i | 0.296466 | − | 0.423397i | ||||
\(489\) | −6.90587 | + | 5.22234i | −0.312294 | + | 0.236162i | ||||
\(490\) | 2.53765 | − | 3.39165i | 0.114639 | − | 0.153219i | ||||
\(491\) | −24.0307 | − | 4.23726i | −1.08449 | − | 0.191225i | −0.397290 | − | 0.917693i | \(-0.630049\pi\) |
−0.687200 | + | 0.726468i | \(0.741160\pi\) | |||||||
\(492\) | −9.59852 | + | 12.3286i | −0.432735 | + | 0.555816i | ||||
\(493\) | −6.28712 | + | 6.28712i | −0.283158 | + | 0.283158i | ||||
\(494\) | 27.2961 | + | 2.95906i | 1.22811 | + | 0.133134i | ||||
\(495\) | 29.7122 | − | 18.8489i | 1.33546 | − | 0.847197i | ||||
\(496\) | 3.24482 | − | 1.18102i | 0.145697 | − | 0.0530292i | ||||
\(497\) | −3.32105 | − | 4.74295i | −0.148970 | − | 0.212751i | ||||
\(498\) | 1.85752 | − | 5.75004i | 0.0832376 | − | 0.257666i | ||||
\(499\) | 13.6561 | − | 16.2747i | 0.611332 | − | 0.728558i | −0.368222 | − | 0.929738i | \(-0.620033\pi\) |
0.979554 | + | 0.201180i | \(0.0644777\pi\) | |||||||
\(500\) | 11.1445 | − | 0.894290i | 0.498398 | − | 0.0399939i | ||||
\(501\) | 24.1393 | − | 7.42495i | 1.07847 | − | 0.331722i | ||||
\(502\) | −19.1539 | + | 5.13228i | −0.854882 | + | 0.229065i | ||||
\(503\) | 13.9731 | + | 29.9654i | 0.623029 | + | 1.33609i | 0.923976 | + | 0.382450i | \(0.124920\pi\) |
−0.300947 | + | 0.953641i | \(0.597303\pi\) | |||||||
\(504\) | −6.23693 | − | 6.41482i | −0.277815 | − | 0.285739i | ||||
\(505\) | 4.61324 | − | 2.47318i | 0.205286 | − | 0.110055i | ||||
\(506\) | −15.3634 | + | 8.87004i | −0.682985 | + | 0.394321i | ||||
\(507\) | −34.2830 | + | 30.9741i | −1.52256 | + | 1.37561i | ||||
\(508\) | −10.0293 | + | 0.877452i | −0.444979 | + | 0.0389306i | ||||
\(509\) | −24.7885 | + | 20.8000i | −1.09873 | + | 0.921945i | −0.997339 | − | 0.0729014i | \(-0.976774\pi\) |
−0.101392 | + | 0.994847i | \(0.532330\pi\) | |||||||
\(510\) | 1.31472 | − | 7.68589i | 0.0582166 | − | 0.340337i | ||||
\(511\) | −37.2184 | + | 13.5464i | −1.64644 | + | 0.599256i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −11.3605 | − | 19.5943i | −0.501580 | − | 0.865111i | ||||
\(514\) | 3.64948i | 0.160972i | ||||||||
\(515\) | 2.86110 | + | 4.37289i | 0.126075 | + | 0.192693i | ||||
\(516\) | −3.89052 | + | 9.20891i | −0.171271 | + | 0.405400i | ||||
\(517\) | 49.1155 | + | 4.29705i | 2.16010 | + | 0.188984i | ||||
\(518\) | −1.42951 | − | 16.3394i | −0.0628091 | − | 0.717911i | ||||
\(519\) | −0.111844 | + | 2.20571i | −0.00490940 | + | 0.0968198i | ||||
\(520\) | 14.0776 | + | 0.443403i | 0.617346 | + | 0.0194445i | ||||
\(521\) | −28.8289 | − | 16.6444i | −1.26302 | − | 0.729204i | −0.289361 | − | 0.957220i | \(-0.593443\pi\) |
−0.973657 | + | 0.228016i | \(0.926776\pi\) | |||||||
\(522\) | −0.186270 | + | 13.2475i | −0.00815283 | + | 0.579828i | ||||
\(523\) | −29.1596 | + | 13.5974i | −1.27506 | + | 0.594571i | −0.937910 | − | 0.346880i | \(-0.887241\pi\) |
−0.337152 | + | 0.941450i | \(0.609464\pi\) | |||||||
\(524\) | 9.62151 | − | 16.6649i | 0.420317 | − | 0.728011i | ||||
\(525\) | 18.7382 | − | 17.7751i | 0.817803 | − | 0.775771i | ||||
\(526\) | −1.55223 | − | 8.80313i | −0.0676804 | − | 0.383835i | ||||
\(527\) | 6.92563 | − | 0.605914i | 0.301685 | − | 0.0263940i | ||||
\(528\) | −8.64524 | − | 2.79280i | −0.376236 | − | 0.121541i | ||||
\(529\) | −11.3859 | − | 2.00763i | −0.495037 | − | 0.0872884i | ||||
\(530\) | −4.85946 | + | 23.2527i | −0.211082 | + | 1.01003i | ||||
\(531\) | 5.82890 | − | 12.0547i | 0.252953 | − | 0.523128i | ||||
\(532\) | −12.7527 | − | 2.52211i | −0.552900 | − | 0.109347i | ||||
\(533\) | −40.1783 | − | 40.1783i | −1.74032 | − | 1.74032i | ||||
\(534\) | −1.94975 | − | 15.6597i | −0.0843738 | − | 0.677662i | ||||
\(535\) | −23.5360 | + | 1.31420i | −1.01755 | + | 0.0568177i | ||||
\(536\) | 6.15207 | + | 7.33175i | 0.265729 | + | 0.316684i | ||||
\(537\) | −9.17873 | − | 1.27411i | −0.396091 | − | 0.0549818i | ||||
\(538\) | 6.13358 | + | 4.29478i | 0.264437 | + | 0.185161i | ||||
\(539\) | −4.96825 | − | 8.60526i | −0.213998 | − | 0.370655i | ||||
\(540\) | −6.57897 | − | 9.57691i | −0.283114 | − | 0.412124i | ||||
\(541\) | 15.5421 | + | 5.65685i | 0.668206 | + | 0.243207i | 0.653775 | − | 0.756689i | \(-0.273184\pi\) |
0.0144307 | + | 0.999896i | \(0.495406\pi\) | |||||||
\(542\) | −3.50966 | + | 1.63658i | −0.150753 | + | 0.0702972i | ||||
\(543\) | −1.02164 | − | 27.8987i | −0.0438428 | − | 1.19725i | ||||
\(544\) | −1.74358 | + | 1.00666i | −0.0747553 | + | 0.0431600i | ||||
\(545\) | 4.06952 | − | 10.1724i | 0.174319 | − | 0.435740i | ||||
\(546\) | 25.9520 | − | 19.6254i | 1.11064 | − | 0.839888i | ||||
\(547\) | −13.4843 | − | 1.17972i | −0.576545 | − | 0.0504411i | −0.204846 | − | 0.978794i | \(-0.565669\pi\) |
−0.371699 | + | 0.928353i | \(0.621225\pi\) | |||||||
\(548\) | 2.76978 | − | 1.93942i | 0.118319 | − | 0.0828480i | ||||
\(549\) | 3.46492 | − | 34.0786i | 0.147879 | − | 1.45444i | ||||
\(550\) | 8.36871 | − | 24.8555i | 0.356843 | − | 1.05984i | ||||
\(551\) | 10.7124 | + | 15.9941i | 0.456362 | + | 0.681371i | ||||
\(552\) | 3.11266 | + | 4.96254i | 0.132484 | + | 0.211220i | ||||
\(553\) | 8.90345 | − | 19.0935i | 0.378613 | − | 0.811939i | ||||
\(554\) | 3.26240 | − | 18.5020i | 0.138606 | − | 0.786074i | ||||
\(555\) | 1.74782 | − | 21.2282i | 0.0741909 | − | 0.901086i | ||||
\(556\) | 4.53065 | + | 3.80167i | 0.192142 | + | 0.161227i | ||||
\(557\) | 9.96609 | + | 6.97833i | 0.422277 | + | 0.295682i | 0.765334 | − | 0.643633i | \(-0.222574\pi\) |
−0.343057 | + | 0.939314i | \(0.611463\pi\) | |||||||
\(558\) | 6.76967 | − | 7.84119i | 0.286583 | − | 0.331944i | ||||
\(559\) | −31.4848 | − | 18.1777i | −1.33166 | − | 0.768836i | ||||
\(560\) | −6.62175 | − | 0.790070i | −0.279820 | − | 0.0333866i | ||||
\(561\) | −15.3572 | − | 9.93607i | −0.648381 | − | 0.419501i | ||||
\(562\) | −16.2710 | + | 4.35980i | −0.686350 | + | 0.183907i | ||||
\(563\) | −8.06651 | + | 30.1046i | −0.339963 | + | 1.26876i | 0.558425 | + | 0.829555i | \(0.311406\pi\) |
−0.898388 | + | 0.439203i | \(0.855261\pi\) | |||||||
\(564\) | 0.824462 | − | 16.2595i | 0.0347161 | − | 0.684647i | ||||
\(565\) | 18.6164 | + | 9.40547i | 0.783198 | + | 0.395691i | ||||
\(566\) | 14.7735 | + | 17.6064i | 0.620977 | + | 0.740051i | ||||
\(567\) | −25.7209 | − | 7.67318i | −1.08018 | − | 0.322243i | ||||
\(568\) | −0.820494 | + | 1.75955i | −0.0344272 | + | 0.0738293i | ||||
\(569\) | −0.279833 | −0.0117312 | −0.00586561 | − | 0.999983i | \(-0.501867\pi\) | ||||
−0.00586561 | + | 0.999983i | \(0.501867\pi\) | |||||||
\(570\) | −15.7718 | − | 6.02074i | −0.660609 | − | 0.252181i | ||||
\(571\) | 20.1066 | 0.841434 | 0.420717 | − | 0.907192i | \(-0.361779\pi\) | ||||
0.420717 | + | 0.907192i | \(0.361779\pi\) | |||||||
\(572\) | 13.9630 | − | 29.9438i | 0.583824 | − | 1.25201i | ||||
\(573\) | −34.7836 | + | 14.1222i | −1.45311 | + | 0.589963i | ||||
\(574\) | 17.2930 | + | 20.6090i | 0.721797 | + | 0.860205i | ||||
\(575\) | −14.4351 | + | 8.80845i | −0.601987 | + | 0.367338i | ||||
\(576\) | −0.817121 | + | 2.88657i | −0.0340467 | + | 0.120274i | ||||
\(577\) | −2.71584 | + | 10.1356i | −0.113062 | + | 0.421952i | −0.999135 | − | 0.0415937i | \(-0.986756\pi\) |
0.886073 | + | 0.463546i | \(0.153423\pi\) | |||||||
\(578\) | 12.5054 | − | 3.35082i | 0.520157 | − | 0.139376i | ||||
\(579\) | −5.29663 | + | 8.18647i | −0.220120 | + | 0.340218i | ||||
\(580\) | 6.10629 | + | 7.76083i | 0.253550 | + | 0.322251i | ||||
\(581\) | −9.01060 | − | 5.20227i | −0.373822 | − | 0.215827i | ||||
\(582\) | −20.2289 | − | 10.7119i | −0.838515 | − | 0.444023i | ||||
\(583\) | 45.6465 | + | 31.9620i | 1.89048 | + | 1.32373i | ||||
\(584\) | 10.1734 | + | 8.53654i | 0.420980 | + | 0.353244i | ||||
\(585\) | 37.5169 | − | 19.4389i | 1.55113 | − | 0.803701i | ||||
\(586\) | 4.06180 | − | 23.0356i | 0.167791 | − | 0.951592i | ||||
\(587\) | −10.2854 | + | 22.0572i | −0.424526 | + | 0.910398i | 0.571438 | + | 0.820645i | \(0.306386\pi\) |
−0.995964 | + | 0.0897533i | \(0.971392\pi\) | |||||||
\(588\) | −2.77960 | + | 1.74345i | −0.114629 | + | 0.0718987i | ||||
\(589\) | 1.62217 | − | 14.9639i | 0.0668404 | − | 0.616576i | ||||
\(590\) | −2.27832 | − | 9.71675i | −0.0937969 | − | 0.400032i | ||||
\(591\) | −3.03011 | − | 24.3368i | −0.124642 | − | 1.00108i | ||||
\(592\) | −4.50504 | + | 3.15446i | −0.185156 | + | 0.129648i | ||||
\(593\) | 1.21650 | + | 0.106430i | 0.0499558 | + | 0.00437057i | 0.112106 | − | 0.993696i | \(-0.464240\pi\) |
−0.0621504 | + | 0.998067i | \(0.519796\pi\) | |||||||
\(594\) | −26.7279 | + | 5.33670i | −1.09666 | + | 0.218967i | ||||
\(595\) | −12.4657 | − | 4.98694i | −0.511043 | − | 0.204445i | ||||
\(596\) | −7.59444 | + | 4.38465i | −0.311080 | + | 0.179602i | ||||
\(597\) | −5.53898 | + | 0.202836i | −0.226696 | + | 0.00830151i | ||||
\(598\) | −19.3073 | + | 9.00312i | −0.789532 | + | 0.368165i | ||||
\(599\) | −10.6955 | − | 3.89283i | −0.437004 | − | 0.159057i | 0.114143 | − | 0.993464i | \(-0.463588\pi\) |
−0.551148 | + | 0.834408i | \(0.685810\pi\) | |||||||
\(600\) | −8.30316 | − | 2.46122i | −0.338975 | − | 0.100479i | ||||
\(601\) | −4.34754 | − | 7.53016i | −0.177340 | − | 0.307162i | 0.763629 | − | 0.645656i | \(-0.223416\pi\) |
−0.940969 | + | 0.338494i | \(0.890082\pi\) | |||||||
\(602\) | 14.1004 | + | 9.87320i | 0.574689 | + | 0.402402i | ||||
\(603\) | 26.8404 | + | 10.1987i | 1.09303 | + | 0.415324i | ||||
\(604\) | −2.20973 | − | 2.63346i | −0.0899128 | − | 0.107154i | ||||
\(605\) | −27.5248 | − | 24.6135i | −1.11904 | − | 1.00068i | ||||
\(606\) | −4.02345 | + | 0.500949i | −0.163442 | + | 0.0203497i | ||||
\(607\) | −2.28976 | − | 2.28976i | −0.0929387 | − | 0.0929387i | 0.659109 | − | 0.752048i | \(-0.270934\pi\) |
−0.752048 | + | 0.659109i | \(0.770934\pi\) | |||||||
\(608\) | 1.40566 | + | 4.12603i | 0.0570069 | + | 0.167333i | ||||
\(609\) | 22.2365 | + | 5.09398i | 0.901070 | + | 0.206419i | ||||
\(610\) | −13.9787 | − | 21.3649i | −0.565980 | − | 0.865041i | ||||
\(611\) | 58.3063 | + | 10.2810i | 2.35882 | + | 0.415923i | ||||
\(612\) | −3.09321 | + | 5.18776i | −0.125036 | + | 0.209703i | ||||
\(613\) | 12.4695 | − | 1.09094i | 0.503637 | − | 0.0440626i | 0.167493 | − | 0.985873i | \(-0.446433\pi\) |
0.336144 | + | 0.941811i | \(0.390877\pi\) | |||||||
\(614\) | −0.544318 | − | 3.08698i | −0.0219669 | − | 0.124580i | ||||
\(615\) | 17.6233 | + | 30.1670i | 0.710642 | + | 1.21645i | ||||
\(616\) | −7.82165 | + | 13.5475i | −0.315143 | + | 0.545844i | ||||
\(617\) | 3.91390 | − | 1.82508i | 0.157568 | − | 0.0734750i | −0.342235 | − | 0.939615i | \(-0.611184\pi\) |
0.499802 | + | 0.866140i | \(0.333406\pi\) | |||||||
\(618\) | −0.848305 | − | 3.95793i | −0.0341238 | − | 0.159211i | ||||
\(619\) | 0.855340 | + | 0.493831i | 0.0343790 | + | 0.0198487i | 0.517091 | − | 0.855930i | \(-0.327015\pi\) |
−0.482712 | + | 0.875779i | \(0.660348\pi\) | |||||||
\(620\) | 0.243076 | − | 7.71745i | 0.00976217 | − | 0.309940i | ||||
\(621\) | 15.4136 | + | 8.44161i | 0.618526 | + | 0.338750i | ||||
\(622\) | −0.483044 | − | 5.52122i | −0.0193683 | − | 0.221381i | ||||
\(623\) | −27.0686 | − | 2.36819i | −1.08448 | − | 0.0948796i | ||||
\(624\) | −10.0498 | − | 4.24579i | −0.402316 | − | 0.169968i | ||||
\(625\) | 7.39945 | − | 23.8799i | 0.295978 | − | 0.955195i | ||||
\(626\) | − | 33.6503i | − | 1.34494i | ||||||
\(627\) | −27.5539 | + | 28.4436i | −1.10040 | + | 1.13593i | ||||
\(628\) | −10.7570 | + | 10.7570i | −0.429252 | + | 0.429252i | ||||
\(629\) | −10.4047 | + | 3.78701i | −0.414864 | + | 0.150998i | ||||
\(630\) | −18.4979 | + | 7.62065i | −0.736974 | + | 0.303614i | ||||
\(631\) | 26.9539 | − | 22.6170i | 1.07302 | − | 0.900370i | 0.0776966 | − | 0.996977i | \(-0.475243\pi\) |
0.995323 | + | 0.0966070i | \(0.0307990\pi\) | |||||||
\(632\) | −7.03715 | + | 0.615671i | −0.279923 | + | 0.0244901i | ||||
\(633\) | −8.08368 | − | 8.94726i | −0.321297 | − | 0.355622i | ||||
\(634\) | −2.04438 | + | 1.18033i | −0.0811928 | + | 0.0468767i | ||||
\(635\) | −6.50818 | + | 21.5506i | −0.258269 | + | 0.855211i | ||||
\(636\) | 9.99550 | − | 15.4490i | 0.396347 | − | 0.612594i | ||||
\(637\) | −5.04279 | − | 10.8143i | −0.199803 | − | 0.428478i | ||||
\(638\) | 22.3754 | − | 5.99547i | 0.885850 | − | 0.237363i | ||||
\(639\) | 0.426001 | + | 5.80876i | 0.0168523 | + | 0.229791i | ||||
\(640\) | 0.880736 | + | 2.05531i | 0.0348141 | + | 0.0812433i | ||||
\(641\) | 11.4765 | − | 13.6772i | 0.453296 | − | 0.540217i | −0.490196 | − | 0.871612i | \(-0.663075\pi\) |
0.943492 | + | 0.331395i | \(0.107519\pi\) | |||||||
\(642\) | 17.3751 | + | 5.61295i | 0.685742 | + | 0.221526i | ||||
\(643\) | 25.3833 | + | 36.2511i | 1.00102 | + | 1.42960i | 0.900596 | + | 0.434658i | \(0.143131\pi\) |
0.100423 | + | 0.994945i | \(0.467981\pi\) | |||||||
\(644\) | 9.47824 | − | 3.44980i | 0.373495 | − | 0.135941i | ||||
\(645\) | 15.8873 | + | 15.7256i | 0.625563 | + | 0.619194i | ||||
\(646\) | 0.583589 | + | 8.75640i | 0.0229610 | + | 0.344516i | ||||
\(647\) | 4.75082 | − | 4.75082i | 0.186774 | − | 0.186774i | −0.607526 | − | 0.794300i | \(-0.707838\pi\) |
0.794300 | + | 0.607526i | \(0.207838\pi\) | |||||||
\(648\) | 2.08403 | + | 8.75539i | 0.0818684 | + | 0.343944i | ||||
\(649\) | −23.0558 | − | 4.06536i | −0.905020 | − | 0.159579i | ||||
\(650\) | 12.6127 | − | 28.8583i | 0.494712 | − | 1.13192i | ||||
\(651\) | −10.7587 | − | 14.2270i | −0.421668 | − | 0.557602i | ||||
\(652\) | 2.86719 | − | 4.09478i | 0.112288 | − | 0.160364i | ||||
\(653\) | 3.04073 | − | 11.3482i | 0.118993 | − | 0.444088i | −0.880561 | − | 0.473932i | \(-0.842834\pi\) |
0.999555 | + | 0.0298435i | \(0.00950091\pi\) | |||||||
\(654\) | −5.77737 | + | 6.21658i | −0.225913 | + | 0.243088i | ||||
\(655\) | −26.6069 | − | 33.8163i | −1.03962 | − | 1.32131i | ||||
\(656\) | 3.08530 | − | 8.47681i | 0.120461 | − | 0.330964i | ||||
\(657\) | 39.1350 | + | 7.46935i | 1.52680 | + | 0.291407i | ||||
\(658\) | −27.0772 | − | 7.25533i | −1.05558 | − | 0.282842i | ||||
\(659\) | 1.57079 | + | 8.90841i | 0.0611894 | + | 0.347023i | 0.999997 | + | 0.00257956i | \(0.000821101\pi\) |
−0.938807 | + | 0.344443i | \(0.888068\pi\) | |||||||
\(660\) | −12.9784 | + | 15.6288i | −0.505185 | + | 0.608350i | ||||
\(661\) | 11.1294 | − | 9.33871i | 0.432885 | − | 0.363234i | −0.400154 | − | 0.916448i | \(-0.631043\pi\) |
0.833039 | + | 0.553214i | \(0.186599\pi\) | |||||||
\(662\) | 4.62658 | + | 6.60745i | 0.179817 | + | 0.256806i | ||||
\(663\) | −17.3316 | − | 13.4936i | −0.673104 | − | 0.524050i | ||||
\(664\) | 3.48872i | 0.135388i | ||||||||
\(665\) | −15.8279 | + | 24.3812i | −0.613780 | + | 0.945461i | ||||
\(666\) | −7.18229 | + | 14.8536i | −0.278308 | + | 0.575565i | ||||
\(667\) | −13.5368 | − | 6.31231i | −0.524147 | − | 0.244414i | ||||
\(668\) | −11.9443 | + | 8.36346i | −0.462137 | + | 0.323592i | ||||
\(669\) | 8.94594 | + | 17.4840i | 0.345870 | + | 0.675970i | ||||
\(670\) | 20.3310 | − | 6.68292i | 0.785457 | − | 0.258184i | ||||
\(671\) | −58.9815 | + | 10.4000i | −2.27696 | + | 0.401489i | ||||
\(672\) | 4.56503 | + | 2.41734i | 0.176100 | + | 0.0932511i | ||||
\(673\) | −4.98372 | − | 18.5995i | −0.192108 | − | 0.716958i | −0.992996 | − | 0.118144i | \(-0.962306\pi\) |
0.800888 | − | 0.598814i | \(-0.204361\pi\) | |||||||
\(674\) | −13.1534 | − | 4.78745i | −0.506650 | − | 0.184405i | ||||
\(675\) | −25.3468 | + | 5.70450i | −0.975598 | + | 0.219566i | ||||
\(676\) | 13.3377 | − | 23.1015i | 0.512987 | − | 0.888520i | ||||
\(677\) | −2.85044 | − | 0.763774i | −0.109551 | − | 0.0293542i | 0.203627 | − | 0.979049i | \(-0.434727\pi\) |
−0.313178 | + | 0.949694i | \(0.601394\pi\) | |||||||
\(678\) | −10.8309 | − | 11.9880i | −0.415958 | − | 0.460395i | ||||
\(679\) | −25.3344 | + | 30.1924i | −0.972245 | + | 1.15868i | ||||
\(680\) | 0.641787 | + | 4.45592i | 0.0246114 | + | 0.170877i | ||||
\(681\) | 14.0879 | + | 5.95176i | 0.539849 | + | 0.228072i | ||||
\(682\) | −16.4154 | − | 7.65462i | −0.628578 | − | 0.293111i | ||||
\(683\) | −15.4021 | − | 15.4021i | −0.589346 | − | 0.589346i | 0.348109 | − | 0.937454i | \(-0.386824\pi\) |
−0.937454 | + | 0.348109i | \(0.886824\pi\) | |||||||
\(684\) | 9.71901 | + | 8.74876i | 0.371616 | + | 0.334517i | ||||
\(685\) | −1.72599 | − | 7.36113i | −0.0659466 | − | 0.281254i | ||||
\(686\) | −5.20786 | − | 14.3085i | −0.198837 | − | 0.546300i | ||||
\(687\) | 15.8734 | − | 6.44463i | 0.605609 | − | 0.245878i | ||||
\(688\) | 0.503043 | − | 5.74981i | 0.0191783 | − | 0.219210i | ||||
\(689\) | 51.2609 | + | 43.0130i | 1.95288 | + | 1.63866i | ||||
\(690\) | 12.8879 | − | 2.34055i | 0.490636 | − | 0.0891032i | ||||
\(691\) | 4.93248 | + | 8.54330i | 0.187640 | + | 0.325002i | 0.944463 | − | 0.328618i | \(-0.106583\pi\) |
−0.756823 | + | 0.653620i | \(0.773249\pi\) | |||||||
\(692\) | −0.330021 | − | 1.23165i | −0.0125455 | − | 0.0468204i | ||||
\(693\) | −0.659806 | + | 46.9253i | −0.0250640 | + | 1.78254i | ||||
\(694\) | −0.321029 | + | 0.882019i | −0.0121861 | + | 0.0334810i | ||||
\(695\) | 11.6556 | − | 6.24860i | 0.442121 | − | 0.237023i | ||||
\(696\) | −2.24882 | − | 7.31117i | −0.0852413 | − | 0.277129i | ||||
\(697\) | 10.4171 | − | 14.8772i | 0.394577 | − | 0.563515i | ||||
\(698\) | 0.733236 | + | 8.38092i | 0.0277534 | + | 0.317223i | ||||
\(699\) | 20.9524 | − | 10.7206i | 0.792492 | − | 0.405490i | ||||
\(700\) | −7.13996 | + | 13.0912i | −0.269865 | + | 0.494801i | ||||
\(701\) | 1.46716 | + | 4.03098i | 0.0554138 | + | 0.152248i | 0.964311 | − | 0.264772i | \(-0.0852967\pi\) |
−0.908897 | + | 0.417020i | \(0.863074\pi\) | |||||||
\(702\) | −32.5326 | + | 3.58683i | −1.22786 | + | 0.135376i | ||||
\(703\) | 3.67279 | + | 23.6893i | 0.138522 | + | 0.893461i | ||||
\(704\) | 5.24531 | 0.197690 | ||||||||
\(705\) | −33.0715 | − | 15.2160i | −1.24555 | − | 0.573067i | ||||
\(706\) | −2.14858 | + | 12.1852i | −0.0808630 | + | 0.458597i | ||||
\(707\) | −0.608460 | + | 6.95473i | −0.0228835 | + | 0.261560i | ||||
\(708\) | −1.06291 | + | 7.65727i | −0.0399467 | + | 0.287778i | ||||
\(709\) | 38.5505 | − | 6.79749i | 1.44779 | − | 0.255285i | 0.606164 | − | 0.795340i | \(-0.292707\pi\) |
0.841630 | + | 0.540054i | \(0.181596\pi\) | |||||||
\(710\) | 2.97155 | + | 3.16483i | 0.111520 | + | 0.118774i | ||||
\(711\) | −17.5287 | + | 11.9100i | −0.657379 | + | 0.446661i | ||||
\(712\) | 3.85045 | + | 8.25732i | 0.144302 | + | 0.309456i | ||||
\(713\) | 4.93557 | + | 10.5844i | 0.184838 | + | 0.396387i | ||||
\(714\) | 7.61802 | + | 7.07980i | 0.285097 | + | 0.264955i | ||||
\(715\) | −50.5693 | − | 53.8585i | −1.89119 | − | 2.01419i | ||||
\(716\) | 5.26887 | − | 0.929044i | 0.196907 | − | 0.0347200i | ||||
\(717\) | 24.4847 | + | 3.39875i | 0.914399 | + | 0.126929i | ||||
\(718\) | 1.90964 | − | 21.8273i | 0.0712673 | − | 0.814589i | ||||
\(719\) | −4.72401 | + | 26.7912i | −0.176176 | + | 0.999144i | 0.760602 | + | 0.649219i | \(0.224904\pi\) |
−0.936778 | + | 0.349925i | \(0.886207\pi\) | |||||||
\(720\) | 5.31415 | + | 4.09387i | 0.198047 | + | 0.152570i | ||||
\(721\) | −6.96976 | −0.259567 | ||||||||
\(722\) | 18.8429 | + | 2.43859i | 0.701259 | + | 0.0907550i | ||||
\(723\) | −19.5096 | + | 12.2370i | −0.725571 | + | 0.455100i | ||||
\(724\) | 5.51273 | + | 15.1461i | 0.204879 | + | 0.562900i | ||||
\(725\) | 21.1838 | − | 6.23149i | 0.786748 | − | 0.231432i | ||||
\(726\) | 13.0282 | + | 25.4623i | 0.483521 | + | 0.944996i | ||||
\(727\) | 0.239917 | + | 2.74226i | 0.00889802 | + | 0.101705i | 0.999345 | − | 0.0361897i | \(-0.0115221\pi\) |
−0.990447 | + | 0.137895i | \(0.955967\pi\) | |||||||
\(728\) | −10.7748 | + | 15.3880i | −0.399340 | + | 0.570317i | ||||
\(729\) | 18.2699 | + | 19.8800i | 0.676661 | + | 0.736294i | ||||
\(730\) | 26.1723 | − | 14.0311i | 0.968679 | − | 0.519313i | ||||
\(731\) | 3.97440 | − | 10.9196i | 0.146999 | − | 0.403876i | ||||
\(732\) | 4.14463 | + | 19.3375i | 0.153190 | + | 0.714736i | ||||
\(733\) | 9.79046 | + | 36.5385i | 0.361619 | + | 1.34958i | 0.871947 | + | 0.489600i | \(0.162857\pi\) |
−0.510328 | + | 0.859980i | \(0.670476\pi\) | |||||||
\(734\) | 1.72464 | + | 2.98717i | 0.0636578 | + | 0.110259i | ||||
\(735\) | 1.31098 | + | 7.21874i | 0.0483562 | + | 0.266267i | ||||
\(736\) | −2.59083 | − | 2.17396i | −0.0954992 | − | 0.0801333i | ||||
\(737\) | 4.37543 | − | 50.0114i | 0.161171 | − | 1.84219i | ||||
\(738\) | −4.32418 | − | 26.7148i | −0.159175 | − | 0.983385i | ||||
\(739\) | 15.7765 | + | 43.3456i | 0.580349 | + | 1.59450i | 0.787586 | + | 0.616205i | \(0.211331\pi\) |
−0.207237 | + | 0.978291i | \(0.566447\pi\) | |||||||
\(740\) | 2.80731 | + | 11.9728i | 0.103199 | + | 0.440131i | ||||
\(741\) | −35.9392 | + | 31.1427i | −1.32026 | + | 1.14406i | ||||
\(742\) | −22.4034 | − | 22.4034i | −0.822455 | − | 0.822455i | ||||
\(743\) | −3.08551 | − | 1.43880i | −0.113196 | − | 0.0527843i | 0.365195 | − | 0.930931i | \(-0.381002\pi\) |
−0.478392 | + | 0.878147i | \(0.658780\pi\) | |||||||
\(744\) | −2.32757 | + | 5.50938i | −0.0853329 | + | 0.201984i | ||||
\(745\) | 2.79541 | + | 19.4085i | 0.102416 | + | 0.711072i | ||||
\(746\) | −20.5488 | + | 24.4891i | −0.752346 | + | 0.896611i | ||||
\(747\) | 5.10512 | + | 9.13663i | 0.186787 | + | 0.334292i | ||||
\(748\) | 10.2006 | + | 2.73324i | 0.372971 | + | 0.0999373i | ||||
\(749\) | 15.7199 | − | 27.2277i | 0.574393 | − | 0.994878i | ||||
\(750\) | −12.0059 | + | 15.1940i | −0.438394 | + | 0.554807i | ||||
\(751\) | 31.9133 | + | 11.6155i | 1.16453 | + | 0.423856i | 0.850715 | − | 0.525627i | \(-0.176169\pi\) |
0.313819 | + | 0.949483i | \(0.398391\pi\) | |||||||
\(752\) | 2.43276 | + | 9.07919i | 0.0887137 | + | 0.331084i | ||||
\(753\) | 16.0729 | − | 30.3529i | 0.585730 | − | 1.10612i | ||||
\(754\) | 27.3948 | − | 4.83044i | 0.997658 | − | 0.175914i | ||||
\(755\) | −7.30262 | + | 2.40041i | −0.265769 | + | 0.0873598i | ||||
\(756\) | 15.4928 | − | 0.349319i | 0.563466 | − | 0.0127046i | ||||
\(757\) | 33.2232 | − | 23.2632i | 1.20752 | − | 0.845514i | 0.216117 | − | 0.976367i | \(-0.430661\pi\) |
0.991402 | + | 0.130853i | \(0.0417717\pi\) | |||||||
\(758\) | −10.2904 | − | 4.79851i | −0.373765 | − | 0.174290i | ||||
\(759\) | 6.86120 | − | 29.9509i | 0.249046 | − | 1.08715i | ||||
\(760\) | 9.73352 | + | 0.508593i | 0.353072 | + | 0.0184486i | ||||
\(761\) | − | 4.27771i | − | 0.155067i | −0.996990 | − | 0.0775334i | \(-0.975296\pi\) | ||
0.996990 | − | 0.0775334i | \(-0.0247044\pi\) | |||||||
\(762\) | 10.7124 | − | 13.7593i | 0.388068 | − | 0.498445i | ||||
\(763\) | 8.38158 | + | 11.9701i | 0.303434 | + | 0.433348i | ||||
\(764\) | 16.6035 | − | 13.9320i | 0.600695 | − | 0.504043i | ||||
\(765\) | 8.20124 | + | 10.7305i | 0.296516 | + | 0.387962i | ||||
\(766\) | 0.111542 | + | 0.632588i | 0.00403019 | + | 0.0228563i | ||||
\(767\) | −27.1558 | − | 7.27636i | −0.980538 | − | 0.262734i | ||||
\(768\) | −0.0633846 | − | 1.73089i | −0.00228720 | − | 0.0624581i | ||||
\(769\) | 13.3480 | − | 36.6734i | 0.481342 | − | 1.32248i | −0.427001 | − | 0.904251i | \(-0.640430\pi\) |
0.908343 | − | 0.418226i | \(-0.137348\pi\) | |||||||
\(770\) | 21.6297 | + | 27.4904i | 0.779479 | + | 0.990685i | ||||
\(771\) | −4.63026 | − | 4.30312i | −0.166755 | − | 0.154973i | ||||
\(772\) | 1.45701 | − | 5.43764i | 0.0524390 | − | 0.195705i | ||||
\(773\) | 21.5214 | − | 30.7358i | 0.774072 | − | 1.10549i | −0.217516 | − | 0.976057i | \(-0.569795\pi\) |
0.991588 | − | 0.129433i | \(-0.0413158\pi\) | |||||||
\(774\) | −7.09642 | − | 15.7943i | −0.255075 | − | 0.567716i | ||||
\(775\) | −15.8203 | − | 6.91438i | −0.568282 | − | 0.248372i | ||||
\(776\) | 13.0148 | + | 2.29486i | 0.467204 | + | 0.0823806i | ||||
\(777\) | 22.4160 | + | 17.4522i | 0.804171 | + | 0.626093i | ||||
\(778\) | −3.64548 | + | 3.64548i | −0.130697 | + | 0.130697i | ||||
\(779\) | −27.2221 | − | 28.3741i | −0.975333 | − | 1.01661i | ||||
\(780\) | −17.1616 | + | 17.3381i | −0.614483 | + | 0.620804i | ||||
\(781\) | 9.56938 | − | 3.48297i | 0.342420 | − | 0.124631i | ||||
\(782\) | −3.90559 | − | 5.57776i | −0.139664 | − | 0.199460i | ||||
\(783\) | −16.5881 | − | 15.8565i | −0.592809 | − | 0.566666i | ||||
\(784\) | 1.21767 | − | 1.45116i | 0.0434882 | − | 0.0518272i | ||||
\(785\) | 13.3984 | + | 31.2669i | 0.478209 | + | 1.11596i | ||||
\(786\) | 9.79878 | + | 31.8569i | 0.349511 | + | 1.13630i | ||||
\(787\) | 17.4512 | − | 4.67604i | 0.622069 | − | 0.166683i | 0.0660007 | − | 0.997820i | \(-0.478976\pi\) |
0.556068 | + | 0.831137i | \(0.312309\pi\) | |||||||
\(788\) | 5.98401 | + | 12.8327i | 0.213171 | + | 0.457147i | ||||
\(789\) | 12.9992 | + | 8.41043i | 0.462782 | + | 0.299419i | ||||
\(790\) | −4.56652 | + | 15.1212i | −0.162469 | + | 0.537987i | ||||
\(791\) | −24.0915 | + | 13.9092i | −0.856596 | + | 0.494556i | ||||
\(792\) | 13.7370 | − | 7.67559i | 0.488123 | − | 0.272740i | ||||
\(793\) | −71.6470 | + | 6.26830i | −2.54426 | + | 0.222594i | ||||
\(794\) | −27.8743 | + | 23.3893i | −0.989222 | + | 0.830056i | ||||
\(795\) | −23.7720 | − | 33.5828i | −0.843105 | − | 1.19106i | ||||
\(796\) | 3.00709 | − | 1.09449i | 0.106583 | − | 0.0387932i | ||||
\(797\) | −27.1903 | + | 27.1903i | −0.963129 | + | 0.963129i | −0.999344 | − | 0.0362152i | \(-0.988470\pi\) |
0.0362152 | + | 0.999344i | \(0.488470\pi\) | |||||||
\(798\) | 18.2367 | − | 13.2061i | 0.645572 | − | 0.467491i | ||||
\(799\) | 18.9241i | 0.669485i | ||||||||
\(800\) | 4.99852 | − | 0.121455i | 0.176725 | − | 0.00429408i | ||||
\(801\) | 22.1671 | + | 15.9907i | 0.783237 | + | 0.565004i | ||||
\(802\) | 20.3355 | + | 1.77912i | 0.718071 | + | 0.0628231i | ||||
\(803\) | −6.07129 | − | 69.3952i | −0.214251 | − | 2.44890i | ||||
\(804\) | −16.5561 | − | 0.839501i | −0.583887 | − | 0.0296069i | ||||
\(805\) | 0.710035 | − | 22.5430i | 0.0250255 | − | 0.794536i | ||||
\(806\) | −18.8363 | − | 10.8751i | −0.663480 | − | 0.383060i | ||||
\(807\) | −12.6811 | + | 2.71795i | −0.446396 | + | 0.0956763i | ||||
\(808\) | 2.12156 | − | 0.989298i | 0.0746361 | − | 0.0348034i | ||||
\(809\) | 2.91279 | − | 5.04511i | 0.102408 | − | 0.177377i | −0.810268 | − | 0.586060i | \(-0.800678\pi\) |
0.912676 | + | 0.408683i | \(0.134012\pi\) | |||||||
\(810\) | 19.9079 | + | 2.94514i | 0.699494 | + | 0.103482i | ||||
\(811\) | 7.23770 | + | 41.0471i | 0.254150 | + | 1.44136i | 0.798245 | + | 0.602333i | \(0.205762\pi\) |
−0.544095 | + | 0.839024i | \(0.683127\pi\) | |||||||
\(812\) | −13.1207 | + | 1.14791i | −0.460447 | + | 0.0402839i | ||||
\(813\) | 2.06185 | − | 6.38256i | 0.0723124 | − | 0.223846i | ||||
\(814\) | 28.4091 | + | 5.00928i | 0.995737 | + | 0.175575i | ||||
\(815\) | −6.11981 | − | 9.35349i | −0.214368 | − | 0.327639i | ||||
\(816\) | 0.778674 | − | 3.39911i | 0.0272590 | − | 0.118993i | ||||
\(817\) | −21.5227 | − | 13.0280i | −0.752984 | − | 0.455791i | ||||
\(818\) | 4.82571 | + | 4.82571i | 0.168727 | + | 0.168727i | ||||
\(819\) | −5.70056 | + | 56.0668i | −0.199194 | + | 1.95913i | ||||
\(820\) | −15.0362 | − | 13.4458i | −0.525086 | − | 0.469548i | ||||
\(821\) | −20.9710 | − | 24.9923i | −0.731893 | − | 0.872236i | 0.263836 | − | 0.964568i | \(-0.415012\pi\) |
−0.995728 | + | 0.0923320i | \(0.970568\pi\) | |||||||
\(822\) | −0.805232 | + | 5.80092i | −0.0280857 | + | 0.202330i | ||||
\(823\) | 18.6010 | + | 13.0245i | 0.648388 | + | 0.454006i | 0.850938 | − | 0.525265i | \(-0.176034\pi\) |
−0.202550 | + | 0.979272i | \(0.564923\pi\) | |||||||
\(824\) | 1.16850 | + | 2.02391i | 0.0407068 | + | 0.0705062i | ||||
\(825\) | 21.6677 | + | 39.9250i | 0.754372 | + | 1.39001i | ||||
\(826\) | 12.5084 | + | 4.55268i | 0.435222 | + | 0.158408i | ||||
\(827\) | −44.3405 | + | 20.6763i | −1.54187 | + | 0.718986i | −0.993131 | − | 0.117006i | \(-0.962670\pi\) |
−0.548740 | + | 0.835993i | \(0.684892\pi\) | |||||||
\(828\) | −9.96635 | − | 1.90219i | −0.346355 | − | 0.0661056i | ||||
\(829\) | −15.6982 | + | 9.06336i | −0.545221 | + | 0.314784i | −0.747192 | − | 0.664608i | \(-0.768599\pi\) |
0.201971 | + | 0.979391i | \(0.435265\pi\) | |||||||
\(830\) | 7.24292 | + | 2.89755i | 0.251405 | + | 0.100576i | ||||
\(831\) | 19.6276 | + | 25.9549i | 0.680873 | + | 0.900366i | ||||
\(832\) | 6.27487 | + | 0.548980i | 0.217542 | + | 0.0190324i | ||||
\(833\) | 3.12419 | − | 2.18758i | 0.108247 | − | 0.0757953i | ||||
\(834\) | −10.1655 | + | 1.26567i | −0.352001 | + | 0.0438266i | ||||
\(835\) | 7.44306 | + | 31.7437i | 0.257578 | + | 1.09854i | ||||
\(836\) | 10.0898 | − | 20.5170i | 0.348965 | − | 0.709595i | ||||
\(837\) | 1.96632 | + | 17.8346i | 0.0679660 | + | 0.616453i | ||||
\(838\) | 2.86025 | − | 6.13383i | 0.0988058 | − | 0.211890i | ||||
\(839\) | −2.45322 | + | 13.9129i | −0.0846945 | + | 0.480326i | 0.912728 | + | 0.408569i | \(0.133972\pi\) |
−0.997422 | + | 0.0717577i | \(0.977139\pi\) | |||||||
\(840\) | 8.81014 | − | 7.46973i | 0.303979 | − | 0.257730i | ||||
\(841\) | −7.27478 | − | 6.10426i | −0.250854 | − | 0.210492i | ||||
\(842\) | −2.48592 | − | 1.74066i | −0.0856706 | − | 0.0599872i | ||||
\(843\) | 13.6537 | − | 25.7844i | 0.470259 | − | 0.888061i | ||||
\(844\) | 6.02908 | + | 3.48089i | 0.207530 | + | 0.119817i | ||||
\(845\) | −36.8834 | − | 46.8773i | −1.26883 | − | 1.61263i | ||||
\(846\) | 19.6570 | + | 20.2176i | 0.675821 | + | 0.695097i | ||||
\(847\) | 47.5701 | − | 12.7464i | 1.63453 | − | 0.437971i | ||||
\(848\) | −2.74959 | + | 10.2616i | −0.0944213 | + | 0.352385i | ||||
\(849\) | −39.7575 | − | 2.01597i | −1.36447 | − | 0.0691878i | ||||
\(850\) | 9.78397 | + | 2.36845i | 0.335587 | + | 0.0812373i | ||||
\(851\) | −11.9560 | − | 14.2486i | −0.409847 | − | 0.488436i | ||||
\(852\) | −1.26498 | − | 3.11570i | −0.0433374 | − | 0.106742i | ||||
\(853\) | −15.2753 | + | 32.7579i | −0.523015 | + | 1.12161i | 0.450456 | + | 0.892799i | \(0.351261\pi\) |
−0.973471 | + | 0.228810i | \(0.926516\pi\) | |||||||
\(854\) | 34.0526 | 1.16526 | ||||||||
\(855\) | 26.2354 | − | 12.9113i | 0.897233 | − | 0.441558i | ||||
\(856\) | −10.5420 | −0.360318 | ||||||||
\(857\) | −11.0818 | + | 23.7649i | −0.378546 | + | 0.811794i | 0.621061 | + | 0.783762i | \(0.286702\pi\) |
−0.999607 | + | 0.0280319i | \(0.991076\pi\) | |||||||
\(858\) | 21.5272 | + | 53.0224i | 0.734925 | + | 1.81016i | ||||
\(859\) | 8.03284 | + | 9.57317i | 0.274077 | + | 0.326632i | 0.885472 | − | 0.464694i | \(-0.153836\pi\) |
−0.611394 | + | 0.791326i | \(0.709391\pi\) | |||||||
\(860\) | −11.5194 | − | 5.81988i | −0.392807 | − | 0.198456i | ||||
\(861\) | −46.5379 | − | 2.35978i | −1.58601 | − | 0.0804210i | ||||
\(862\) | −10.2987 | + | 38.4354i | −0.350776 | + | 1.30911i | ||||
\(863\) | 33.2675 | − | 8.91401i | 1.13244 | − | 0.303436i | 0.356532 | − | 0.934283i | \(-0.383959\pi\) |
0.775908 | + | 0.630846i | \(0.217292\pi\) | |||||||
\(864\) | −2.69885 | − | 4.44029i | −0.0918168 | − | 0.151062i | ||||
\(865\) | −2.83113 | − | 0.337795i | −0.0962614 | − | 0.0114854i | ||||
\(866\) | −11.1373 | − | 6.43015i | −0.378462 | − | 0.218505i | ||||
\(867\) | −10.4939 | + | 19.8172i | −0.356391 | + | 0.673026i | ||||
\(868\) | 8.43580 | + | 5.90681i | 0.286330 | + | 0.200490i | ||||
\(869\) | 28.3843 | + | 23.8172i | 0.962871 | + | 0.807944i | ||||
\(870\) | −17.0465 | − | 1.40352i | −0.577929 | − | 0.0475838i | ||||
\(871\) | 10.4685 | − | 59.3698i | 0.354712 | − | 2.01167i | ||||
\(872\) | 2.07074 | − | 4.44072i | 0.0701241 | − | 0.150382i | ||||
\(873\) | 37.4427 | − | 13.0348i | 1.26724 | − | 0.441162i | ||||
\(874\) | −13.4871 | + | 5.95218i | −0.456209 | + | 0.201336i | ||||
\(875\) | 21.2486 | + | 25.6962i | 0.718332 | + | 0.868689i | ||||
\(876\) | −22.8262 | + | 2.84203i | −0.771227 | + | 0.0960234i | ||||
\(877\) | −25.6636 | + | 17.9698i | −0.866597 | + | 0.606798i | −0.920062 | − | 0.391772i | \(-0.871862\pi\) |
0.0534653 | + | 0.998570i | \(0.482973\pi\) | |||||||
\(878\) | −2.02752 | − | 0.177385i | −0.0684256 | − | 0.00598646i | ||||
\(879\) | 24.4370 | + | 32.3148i | 0.824239 | + | 1.08995i | ||||
\(880\) | 4.35649 | − | 10.8898i | 0.146857 | − | 0.367094i | ||||
\(881\) | −13.2747 | + | 7.66418i | −0.447237 | + | 0.258213i | −0.706663 | − | 0.707550i | \(-0.749800\pi\) |
0.259425 | + | 0.965763i | \(0.416467\pi\) | |||||||
\(882\) | 1.06544 | − | 5.58231i | 0.0358754 | − | 0.187966i | ||||
\(883\) | 9.52928 | − | 4.44358i | 0.320686 | − | 0.149538i | −0.255609 | − | 0.966780i | \(-0.582276\pi\) |
0.576295 | + | 0.817242i | \(0.304498\pi\) | |||||||
\(884\) | 11.9167 | + | 4.33734i | 0.400803 | + | 0.145880i | ||||
\(885\) | 15.0145 | + | 8.56646i | 0.504705 | + | 0.287959i | ||||
\(886\) | −18.2313 | − | 31.5776i | −0.612493 | − | 1.06087i | ||||
\(887\) | −39.6428 | − | 27.7582i | −1.33107 | − | 0.932028i | −0.331140 | − | 0.943582i | \(-0.607433\pi\) |
−0.999933 | + | 0.0115539i | \(0.996322\pi\) | |||||||
\(888\) | 1.30971 | − | 9.43519i | 0.0439509 | − | 0.316624i | ||||
\(889\) | −19.2998 | − | 23.0006i | −0.647294 | − | 0.771415i | ||||
\(890\) | 20.3410 | − | 1.13580i | 0.681832 | − | 0.0380721i | ||||
\(891\) | 24.7440 | − | 40.2033i | 0.828956 | − | 1.34686i | ||||
\(892\) | −8.01789 | − | 8.01789i | −0.268459 | − | 0.268459i | ||||
\(893\) | 40.1928 | + | 7.94895i | 1.34500 | + | 0.266001i | ||||
\(894\) | 3.39164 | − | 14.8054i | 0.113433 | − | 0.495165i | ||||
\(895\) | 2.44728 | − | 11.7103i | 0.0818034 | − | 0.391433i | ||||
\(896\) | −2.93703 | − | 0.517878i | −0.0981194 | − | 0.0173011i | ||||
\(897\) | 11.3426 | − | 35.1116i | 0.378719 | − | 1.17234i | ||||
\(898\) | −29.6935 | + | 2.59785i | −0.990885 | + | 0.0866912i | ||||
\(899\) | −2.64807 | − | 15.0180i | −0.0883182 | − | 0.500878i | ||||
\(900\) | 12.9130 | − | 7.63254i | 0.430432 | − | 0.254418i | ||||
\(901\) | −10.6943 | + | 18.5231i | −0.356279 | + | 0.617093i | ||||
\(902\) | −42.8838 | + | 19.9970i | −1.42787 | + | 0.665829i | ||||
\(903\) | −29.1524 | + | 6.24825i | −0.970132 | + | 0.207929i | ||||
\(904\) | 8.07806 | + | 4.66387i | 0.268672 | + | 0.155118i | ||||
\(905\) | 36.0234 | + | 1.13463i | 1.19746 | + | 0.0377163i | ||||
\(906\) | 5.94670 | + | 0.301536i | 0.197566 | + | 0.0100179i | ||||
\(907\) | 1.15359 | + | 13.1855i | 0.0383042 | + | 0.437819i | 0.990997 | + | 0.133884i | \(0.0427450\pi\) |
−0.952693 | + | 0.303935i | \(0.901699\pi\) | |||||||
\(908\) | −8.79612 | − | 0.769561i | −0.291909 | − | 0.0255388i | ||||
\(909\) | 4.10850 | − | 5.69541i | 0.136270 | − | 0.188905i | ||||
\(910\) | 22.9980 | + | 35.1500i | 0.762376 | + | 1.16521i | ||||
\(911\) | 31.0208i | 1.02777i | 0.857860 | + | 0.513883i | \(0.171793\pi\) | ||||
−0.857860 | + | 0.513883i | \(0.828207\pi\) | |||||||
\(912\) | −6.89229 | − | 3.08160i | −0.228227 | − | 0.102042i | ||||
\(913\) | 12.9396 | − | 12.9396i | 0.428239 | − | 0.428239i | ||||
\(914\) | −9.82914 | + | 3.57751i | −0.325119 | + | 0.118334i | ||||
\(915\) | 43.5890 | + | 7.45615i | 1.44101 | + | 0.246493i | ||||
\(916\) | −7.57699 | + | 6.35785i | −0.250351 | + | 0.210069i | ||||
\(917\) | 57.1708 | − | 5.00180i | 1.88795 | − | 0.165174i | ||||
\(918\) | −2.93472 | − | 10.0414i | −0.0968603 | − | 0.331416i | ||||
\(919\) | 13.0833 | − | 7.55367i | 0.431580 | − | 0.249173i | −0.268440 | − | 0.963296i | \(-0.586508\pi\) |
0.700019 | + | 0.714124i | \(0.253175\pi\) | |||||||
\(920\) | −6.66517 | + | 3.57323i | −0.219744 | + | 0.117806i | ||||
\(921\) | 4.55840 | + | 2.94927i | 0.150204 | + | 0.0971819i | ||||
\(922\) | −9.01385 | − | 19.3303i | −0.296855 | − | 0.636608i | ||||
\(923\) | 11.8122 | − | 3.16507i | 0.388804 | − | 0.104180i | ||||
\(924\) | −7.96576 | − | 25.8976i | −0.262054 | − | 0.851968i | ||||
\(925\) | 27.1884 | + | 4.11579i | 0.893950 | + | 0.135326i | ||||
\(926\) | −5.65333 | + | 6.73738i | −0.185780 | + | 0.221404i | ||||
\(927\) | 6.02184 | + | 3.59053i | 0.197783 | + | 0.117929i | ||||
\(928\) | 2.53307 | + | 3.61760i | 0.0831521 | + | 0.118753i | ||||
\(929\) | −3.25796 | + | 1.18580i | −0.106890 | + | 0.0389049i | −0.394912 | − | 0.918719i | \(-0.629225\pi\) |
0.288021 | + | 0.957624i | \(0.407003\pi\) | |||||||
\(930\) | 9.50486 | + | 9.40809i | 0.311677 | + | 0.308503i | ||||
\(931\) | −3.33391 | − | 7.55436i | −0.109265 | − | 0.247584i | ||||
\(932\) | −9.60844 | + | 9.60844i | −0.314735 | + | 0.314735i | ||||
\(933\) | 7.57457 | + | 5.89724i | 0.247980 | + | 0.193067i | ||||
\(934\) | 11.5211 | + | 2.03148i | 0.376981 | + | 0.0664720i | ||||
\(935\) | 14.1466 | − | 18.9074i | 0.462643 | − | 0.618337i | ||||
\(936\) | 17.2366 | − | 7.74444i | 0.563397 | − | 0.253135i | ||||
\(937\) | 11.4725 | − | 16.3844i | 0.374790 | − | 0.535255i | −0.586805 | − | 0.809728i | \(-0.699614\pi\) |
0.961595 | + | 0.274473i | \(0.0885034\pi\) | |||||||
\(938\) | −7.38767 | + | 27.5712i | −0.241216 | + | 0.900230i | ||||
\(939\) | 42.6936 | + | 39.6772i | 1.39325 | + | 1.29482i | ||||
\(940\) | 20.8698 | + | 2.49007i | 0.680699 | + | 0.0812172i | ||||
\(941\) | −4.27932 | + | 11.7573i | −0.139502 | + | 0.383278i | −0.989695 | − | 0.143193i | \(-0.954263\pi\) |
0.850193 | + | 0.526471i | \(0.176485\pi\) | |||||||
\(942\) | −0.964253 | − | 26.3316i | −0.0314171 | − | 0.857929i | ||||
\(943\) | 29.4696 | + | 7.89636i | 0.959663 | + | 0.257141i | ||||
\(944\) | −0.775047 | − | 4.39551i | −0.0252256 | − | 0.143062i | ||||
\(945\) | 12.1423 | − | 32.4546i | 0.394989 | − | 1.05575i | ||||
\(946\) | −23.1918 | + | 19.4602i | −0.754031 | + | 0.632707i | ||||
\(947\) | −0.621350 | − | 0.887380i | −0.0201912 | − | 0.0288360i | 0.808930 | − | 0.587906i | \(-0.200047\pi\) |
−0.829121 | + | 0.559070i | \(0.811158\pi\) | |||||||
\(948\) | 7.51641 | − | 9.65429i | 0.244122 | − | 0.313557i | ||||
\(949\) | − | 83.6516i | − | 2.71545i | ||||||
\(950\) | 9.14007 | − | 19.7853i | 0.296543 | − | 0.641921i | ||||
\(951\) | 0.913011 | − | 3.98553i | 0.0296064 | − | 0.129240i | ||||
\(952\) | −5.44182 | − | 2.53756i | −0.176370 | − | 0.0822428i | ||||
\(953\) | −39.4152 | + | 27.5988i | −1.27678 | + | 0.894014i | −0.997801 | − | 0.0662816i | \(-0.978886\pi\) |
−0.278984 | + | 0.960296i | \(0.589998\pi\) | |||||||
\(954\) | 7.81514 | + | 30.8978i | 0.253024 | + | 1.00035i | ||||
\(955\) | −15.1342 | − | 46.0418i | −0.489731 | − | 1.48988i | ||||
\(956\) | −14.0550 | + | 2.47827i | −0.454571 | + | 0.0801531i | ||||
\(957\) | −18.7762 | + | 35.4579i | −0.606949 | + | 1.14619i | ||||
\(958\) | −4.14009 | − | 15.4510i | −0.133760 | − | 0.499200i | ||||
\(959\) | 9.47598 | + | 3.44897i | 0.305995 | + | 0.111373i | ||||
\(960\) | −3.64614 | − | 1.30600i | −0.117679 | − | 0.0421509i | ||||
\(961\) | 9.53819 | − | 16.5206i | 0.307683 | − | 0.532923i | ||||
\(962\) | 33.4610 | + | 8.96584i | 1.07882 | + | 0.289070i | ||||
\(963\) | −27.6085 | + | 15.4264i | −0.889672 | + | 0.497108i | ||||
\(964\) | 8.54666 | − | 10.1855i | 0.275269 | − | 0.328053i | ||||
\(965\) | −10.0790 | − | 7.54114i | −0.324453 | − | 0.242758i | ||||
\(966\) | −6.79893 | + | 16.0931i | −0.218752 | + | 0.517788i | ||||
\(967\) | −41.8917 | − | 19.5344i | −1.34715 | − | 0.628185i | −0.390815 | − | 0.920469i | \(-0.627807\pi\) |
−0.956331 | + | 0.292285i | \(0.905585\pi\) | |||||||
\(968\) | −11.6766 | − | 11.6766i | −0.375302 | − | 0.375302i | ||||
\(969\) | −11.7977 | − | 9.58428i | −0.378998 | − | 0.307892i | ||||
\(970\) | 15.5738 | − | 25.1140i | 0.500044 | − | 0.806362i | ||||
\(971\) | 2.42617 | + | 6.66586i | 0.0778596 | + | 0.213918i | 0.972515 | − | 0.232839i | \(-0.0748014\pi\) |
−0.894656 | + | 0.446756i | \(0.852579\pi\) | |||||||
\(972\) | −13.5656 | − | 7.67942i | −0.435118 | − | 0.246318i | ||||
\(973\) | −1.53730 | + | 17.5715i | −0.0492837 | + | 0.563315i | ||||
\(974\) | −8.29753 | − | 6.96246i | −0.265870 | − | 0.223092i | ||||
\(975\) | 21.7421 | + | 50.0293i | 0.696304 | + | 1.60222i | ||||
\(976\) | −5.70905 | − | 9.88836i | −0.182742 | − | 0.316519i | ||||
\(977\) | 14.1987 | + | 52.9901i | 0.454255 | + | 1.69530i | 0.690268 | + | 0.723554i | \(0.257493\pi\) |
−0.236013 | + | 0.971750i | \(0.575841\pi\) | |||||||
\(978\) | 1.81450 | + | 8.46590i | 0.0580214 | + | 0.270710i | ||||
\(979\) | 16.3451 | − | 44.9077i | 0.522390 | − | 1.43526i | ||||
\(980\) | −2.00142 | − | 3.73327i | −0.0639331 | − | 0.119255i | ||||
\(981\) | −1.07513 | − | 14.6600i | −0.0343263 | − | 0.468058i | ||||
\(982\) | −13.9961 | + | 19.9885i | −0.446633 | + | 0.637858i | ||||
\(983\) | 0.241863 | + | 2.76450i | 0.00771422 | + | 0.0881739i | 0.999076 | − | 0.0429834i | \(-0.0136863\pi\) |
−0.991362 | + | 0.131157i | \(0.958131\pi\) | |||||||
\(984\) | 7.11700 | + | 13.9095i | 0.226882 | + | 0.443419i | ||||
\(985\) | 31.6121 | − | 1.76515i | 1.00724 | − | 0.0562423i | ||||
\(986\) | 3.04101 | + | 8.35512i | 0.0968456 | + | 0.266081i | ||||
\(987\) | 41.1321 | − | 25.7993i | 1.30925 | − | 0.821201i | ||||
\(988\) | 14.2176 | − | 23.4881i | 0.452323 | − | 0.747256i | ||||
\(989\) | 19.5206 | 0.620720 | ||||||||
\(990\) | −4.52602 | − | 34.8943i | −0.143846 | − | 1.10901i | ||||
\(991\) | 6.78407 | − | 38.4744i | 0.215503 | − | 1.22218i | −0.664529 | − | 0.747263i | \(-0.731368\pi\) |
0.880032 | − | 0.474915i | \(-0.157521\pi\) | |||||||
\(992\) | 0.300954 | − | 3.43992i | 0.00955530 | − | 0.109218i | ||||
\(993\) | −13.8384 | − | 1.92092i | −0.439148 | − | 0.0609586i | ||||
\(994\) | −5.70211 | + | 1.00544i | −0.180860 | + | 0.0318905i | ||||
\(995\) | 0.225268 | − | 7.15204i | 0.00714146 | − | 0.226735i | ||||
\(996\) | −4.42629 | − | 4.11356i | −0.140252 | − | 0.130343i | ||||
\(997\) | −3.50695 | − | 7.52067i | −0.111066 | − | 0.238182i | 0.842916 | − | 0.538045i | \(-0.180837\pi\) |
−0.953982 | + | 0.299863i | \(0.903059\pi\) | |||||||
\(998\) | −8.97860 | − | 19.2547i | −0.284213 | − | 0.609496i | ||||
\(999\) | −10.3767 | − | 26.6264i | −0.328305 | − | 0.842423i |
(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 | 570.2.bi.a.347.33 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.347.15 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.233.3 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.233.25 | yes | 480 | |
19.4 | even | 9 | inner | 570.2.bi.a.137.25 | yes | 480 | |
57.23 | odd | 18 | inner | 570.2.bi.a.137.3 | yes | 480 | |
95.23 | odd | 36 | inner | 570.2.bi.a.23.15 | ✓ | 480 | |
285.23 | even | 36 | inner | 570.2.bi.a.23.33 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.15 | ✓ | 480 | 95.23 | odd | 36 | inner | |
570.2.bi.a.23.33 | yes | 480 | 285.23 | even | 36 | inner | |
570.2.bi.a.137.3 | yes | 480 | 57.23 | odd | 18 | inner | |
570.2.bi.a.137.25 | yes | 480 | 19.4 | even | 9 | inner | |
570.2.bi.a.233.3 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.233.25 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.347.15 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.347.33 | yes | 480 | 1.1 | even | 1 | trivial |