Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(11,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.q (of order \(15\), degree \(8\), 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 81.6 | ||
Character | \(\chi\) | \(=\) | 350.81 |
Dual form | 350.2.q.b.121.6 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.669131 | + | 0.743145i | −0.473147 | + | 0.525483i | ||||
\(3\) | 0.0698073 | + | 0.664172i | 0.0403033 | + | 0.383460i | 0.996017 | + | 0.0891623i | \(0.0284190\pi\) |
−0.955714 | + | 0.294298i | \(0.904914\pi\) | |||||||
\(4\) | −0.104528 | − | 0.994522i | −0.0522642 | − | 0.497261i | ||||
\(5\) | −1.87316 | + | 1.22117i | −0.837705 | + | 0.546124i | ||||
\(6\) | −0.540286 | − | 0.392541i | −0.220571 | − | 0.160254i | ||||
\(7\) | 2.57149 | − | 0.622454i | 0.971931 | − | 0.235265i | ||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 2.49819 | − | 0.531007i | 0.832730 | − | 0.177002i | ||||
\(10\) | 0.345886 | − | 2.20915i | 0.109379 | − | 0.698596i | ||||
\(11\) | 2.69149 | + | 0.572095i | 0.811516 | + | 0.172493i | 0.594937 | − | 0.803772i | \(-0.297177\pi\) |
0.216579 | + | 0.976265i | \(0.430510\pi\) | |||||||
\(12\) | 0.653237 | − | 0.138850i | 0.188573 | − | 0.0400825i | ||||
\(13\) | −1.13444 | + | 3.49144i | −0.314636 | + | 0.968352i | 0.661267 | + | 0.750150i | \(0.270019\pi\) |
−0.975904 | + | 0.218201i | \(0.929981\pi\) | |||||||
\(14\) | −1.25809 | + | 2.32749i | −0.336238 | + | 0.622048i | ||||
\(15\) | −0.941827 | − | 1.15886i | −0.243179 | − | 0.299216i | ||||
\(16\) | −0.978148 | + | 0.207912i | −0.244537 | + | 0.0519779i | ||||
\(17\) | −5.85908 | + | 2.60863i | −1.42104 | + | 0.632686i | −0.966177 | − | 0.257878i | \(-0.916977\pi\) |
−0.454858 | + | 0.890564i | \(0.650310\pi\) | |||||||
\(18\) | −1.27700 | + | 2.21183i | −0.300992 | + | 0.521334i | ||||
\(19\) | −0.520538 | + | 4.95259i | −0.119420 | + | 1.13620i | 0.756584 | + | 0.653897i | \(0.226867\pi\) |
−0.876003 | + | 0.482305i | \(0.839800\pi\) | |||||||
\(20\) | 1.41028 | + | 1.73526i | 0.315348 | + | 0.388015i | ||||
\(21\) | 0.592925 | + | 1.66446i | 0.129387 | + | 0.363215i | ||||
\(22\) | −2.22611 | + | 1.61736i | −0.474608 | + | 0.344823i | ||||
\(23\) | −1.50889 | + | 1.67579i | −0.314626 | + | 0.349427i | −0.879628 | − | 0.475662i | \(-0.842209\pi\) |
0.565002 | + | 0.825089i | \(0.308875\pi\) | |||||||
\(24\) | −0.333915 | + | 0.578358i | −0.0681602 | + | 0.118057i | ||||
\(25\) | 2.01749 | − | 4.57490i | 0.403498 | − | 0.914981i | ||||
\(26\) | −1.83556 | − | 3.17928i | −0.359983 | − | 0.623508i | ||||
\(27\) | 1.14618 | + | 3.52759i | 0.220583 | + | 0.678886i | ||||
\(28\) | −0.887838 | − | 2.49234i | −0.167786 | − | 0.471007i | ||||
\(29\) | −2.79726 | + | 2.03233i | −0.519438 | + | 0.377394i | −0.816392 | − | 0.577498i | \(-0.804029\pi\) |
0.296954 | + | 0.954892i | \(0.404029\pi\) | |||||||
\(30\) | 1.49140 | + | 0.0755126i | 0.272292 | + | 0.0137866i | ||||
\(31\) | 3.92903 | − | 1.74932i | 0.705675 | − | 0.314187i | −0.0223378 | − | 0.999750i | \(-0.507111\pi\) |
0.728013 | + | 0.685564i | \(0.240444\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.192083 | + | 1.82755i | −0.0334374 | + | 0.318136i | ||||
\(34\) | 1.98190 | − | 6.09966i | 0.339893 | − | 1.04608i | ||||
\(35\) | −4.05670 | + | 4.30618i | −0.685707 | + | 0.727877i | ||||
\(36\) | −0.789230 | − | 2.42900i | −0.131538 | − | 0.404833i | ||||
\(37\) | 11.4292 | − | 2.42935i | 1.87895 | − | 0.399383i | 0.881589 | − | 0.472018i | \(-0.156474\pi\) |
0.997359 | + | 0.0726358i | \(0.0231411\pi\) | |||||||
\(38\) | −3.33218 | − | 3.70076i | −0.540551 | − | 0.600343i | ||||
\(39\) | −2.39811 | − | 0.509734i | −0.384005 | − | 0.0816227i | ||||
\(40\) | −2.23321 | − | 0.113071i | −0.353101 | − | 0.0178782i | ||||
\(41\) | 0.869484 | − | 2.67600i | 0.135791 | − | 0.417921i | −0.859921 | − | 0.510426i | \(-0.829488\pi\) |
0.995712 | + | 0.0925056i | \(0.0294876\pi\) | |||||||
\(42\) | −1.63368 | − | 0.673111i | −0.252082 | − | 0.103863i | ||||
\(43\) | −10.4334 | −1.59107 | −0.795537 | − | 0.605904i | \(-0.792811\pi\) | ||||
−0.795537 | + | 0.605904i | \(0.792811\pi\) | |||||||
\(44\) | 0.287623 | − | 2.73655i | 0.0433608 | − | 0.412551i | ||||
\(45\) | −4.03107 | + | 4.04538i | −0.600917 | + | 0.603049i | ||||
\(46\) | −0.235712 | − | 2.24265i | −0.0347538 | − | 0.330661i | ||||
\(47\) | 7.77238 | + | 3.46049i | 1.13372 | + | 0.504764i | 0.885823 | − | 0.464023i | \(-0.153595\pi\) |
0.247895 | + | 0.968787i | \(0.420261\pi\) | |||||||
\(48\) | −0.206371 | − | 0.635144i | −0.0297871 | − | 0.0916752i | ||||
\(49\) | 6.22510 | − | 3.20126i | 0.889300 | − | 0.457324i | ||||
\(50\) | 2.04985 | + | 4.56049i | 0.289893 | + | 0.644951i | ||||
\(51\) | −2.14159 | − | 3.70933i | −0.299882 | − | 0.519411i | ||||
\(52\) | 3.59090 | + | 0.763268i | 0.497968 | + | 0.105846i | ||||
\(53\) | 1.43426 | + | 13.6460i | 0.197010 | + | 1.87443i | 0.431229 | + | 0.902243i | \(0.358080\pi\) |
−0.234219 | + | 0.972184i | \(0.575253\pi\) | |||||||
\(54\) | −3.38846 | − | 1.50864i | −0.461111 | − | 0.205300i | ||||
\(55\) | −5.74024 | + | 2.21514i | −0.774013 | + | 0.298690i | ||||
\(56\) | 2.44625 | + | 1.00791i | 0.326893 | + | 0.134687i | ||||
\(57\) | −3.32571 | −0.440501 | ||||||||
\(58\) | 0.361418 | − | 3.43866i | 0.0474565 | − | 0.451519i | ||||
\(59\) | −7.66960 | − | 8.51796i | −0.998498 | − | 1.10894i | −0.994047 | − | 0.108954i | \(-0.965250\pi\) |
−0.00445069 | − | 0.999990i | \(-0.501417\pi\) | |||||||
\(60\) | −1.05406 | + | 1.05780i | −0.136079 | + | 0.136562i | ||||
\(61\) | 7.38074 | − | 8.19714i | 0.945007 | − | 1.04954i | −0.0536932 | − | 0.998557i | \(-0.517099\pi\) |
0.998700 | − | 0.0509786i | \(-0.0162340\pi\) | |||||||
\(62\) | −1.32904 | + | 4.09036i | −0.168788 | + | 0.519476i | ||||
\(63\) | 6.09354 | − | 2.92049i | 0.767714 | − | 0.367947i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −2.13865 | − | 7.92538i | −0.265267 | − | 0.983023i | ||||
\(66\) | −1.22961 | − | 1.36562i | −0.151354 | − | 0.168096i | ||||
\(67\) | 5.87387 | − | 2.61521i | 0.717607 | − | 0.319499i | −0.0152482 | − | 0.999884i | \(-0.504854\pi\) |
0.732855 | + | 0.680384i | \(0.238187\pi\) | |||||||
\(68\) | 3.20678 | + | 5.55431i | 0.388879 | + | 0.673558i | ||||
\(69\) | −1.21835 | − | 0.885181i | −0.146672 | − | 0.106563i | ||||
\(70\) | −0.485655 | − | 5.89611i | −0.0580469 | − | 0.704720i | ||||
\(71\) | −3.31711 | + | 2.41002i | −0.393668 | + | 0.286017i | −0.766957 | − | 0.641698i | \(-0.778230\pi\) |
0.373289 | + | 0.927715i | \(0.378230\pi\) | |||||||
\(72\) | 2.33320 | + | 1.03881i | 0.274970 | + | 0.122425i | ||||
\(73\) | −7.89796 | − | 1.67876i | −0.924386 | − | 0.196484i | −0.278956 | − | 0.960304i | \(-0.589988\pi\) |
−0.645430 | + | 0.763819i | \(0.723322\pi\) | |||||||
\(74\) | −5.84226 | + | 10.1191i | −0.679149 | + | 1.17632i | ||||
\(75\) | 3.17936 | + | 1.02060i | 0.367121 | + | 0.117849i | ||||
\(76\) | 4.97987 | 0.571230 | ||||||||
\(77\) | 7.27725 | − | 0.204196i | 0.829320 | − | 0.0232703i | ||||
\(78\) | 1.98345 | − | 1.44106i | 0.224582 | − | 0.163168i | ||||
\(79\) | −2.89888 | − | 1.29066i | −0.326149 | − | 0.145211i | 0.237129 | − | 0.971478i | \(-0.423794\pi\) |
−0.563279 | + | 0.826267i | \(0.690460\pi\) | |||||||
\(80\) | 1.57834 | − | 1.58394i | 0.176463 | − | 0.177090i | ||||
\(81\) | 4.73668 | − | 2.10890i | 0.526297 | − | 0.234323i | ||||
\(82\) | 1.40686 | + | 2.43675i | 0.155361 | + | 0.269093i | ||||
\(83\) | 2.23567 | + | 1.62431i | 0.245397 | + | 0.178291i | 0.703684 | − | 0.710513i | \(-0.251537\pi\) |
−0.458288 | + | 0.888804i | \(0.651537\pi\) | |||||||
\(84\) | 1.59336 | − | 0.763660i | 0.173850 | − | 0.0833221i | ||||
\(85\) | 7.78944 | − | 12.0413i | 0.844883 | − | 1.30606i | ||||
\(86\) | 6.98129 | − | 7.75351i | 0.752812 | − | 0.836082i | ||||
\(87\) | −1.54508 | − | 1.71599i | −0.165650 | − | 0.183974i | ||||
\(88\) | 1.84120 | + | 2.04486i | 0.196272 | + | 0.217982i | ||||
\(89\) | 7.30682 | − | 8.11505i | 0.774522 | − | 0.860194i | −0.218776 | − | 0.975775i | \(-0.570206\pi\) |
0.993298 | + | 0.115582i | \(0.0368731\pi\) | |||||||
\(90\) | −0.308988 | − | 5.70256i | −0.0325701 | − | 0.601102i | ||||
\(91\) | −0.743933 | + | 9.68433i | −0.0779854 | + | 1.01519i | ||||
\(92\) | 1.82434 | + | 1.32546i | 0.190200 | + | 0.138189i | ||||
\(93\) | 1.43612 | + | 2.48744i | 0.148919 | + | 0.257935i | ||||
\(94\) | −7.77238 | + | 3.46049i | −0.801660 | + | 0.356922i | ||||
\(95\) | −5.07290 | − | 9.91268i | −0.520468 | − | 1.01702i | ||||
\(96\) | 0.610093 | + | 0.271631i | 0.0622674 | + | 0.0277232i | ||||
\(97\) | 0.0317626 | − | 0.0230769i | 0.00322500 | − | 0.00234310i | −0.586172 | − | 0.810187i | \(-0.699366\pi\) |
0.589397 | + | 0.807844i | \(0.299366\pi\) | |||||||
\(98\) | −1.78640 | + | 6.76822i | −0.180454 | + | 0.683693i | ||||
\(99\) | 7.02766 | 0.706306 | ||||||||
\(100\) | −4.76073 | − | 1.52823i | −0.476073 | − | 0.152823i | ||||
\(101\) | 5.21131 | − | 9.02626i | 0.518545 | − | 0.898146i | −0.481223 | − | 0.876598i | \(-0.659807\pi\) |
0.999768 | − | 0.0215480i | \(-0.00685947\pi\) | |||||||
\(102\) | 4.18957 | + | 0.890521i | 0.414829 | + | 0.0881747i | ||||
\(103\) | −5.74578 | − | 2.55818i | −0.566148 | − | 0.252065i | 0.103643 | − | 0.994615i | \(-0.466950\pi\) |
−0.669792 | + | 0.742549i | \(0.733617\pi\) | |||||||
\(104\) | −2.97000 | + | 2.15783i | −0.291232 | + | 0.211593i | ||||
\(105\) | −3.14323 | − | 2.39374i | −0.306748 | − | 0.233605i | ||||
\(106\) | −11.1007 | − | 8.06512i | −1.07819 | − | 0.783353i | ||||
\(107\) | −4.00550 | − | 6.93772i | −0.387226 | − | 0.670695i | 0.604849 | − | 0.796340i | \(-0.293233\pi\) |
−0.992075 | + | 0.125645i | \(0.959900\pi\) | |||||||
\(108\) | 3.38846 | − | 1.50864i | 0.326055 | − | 0.145169i | ||||
\(109\) | −2.28236 | − | 2.53482i | −0.218610 | − | 0.242791i | 0.623857 | − | 0.781538i | \(-0.285565\pi\) |
−0.842468 | + | 0.538747i | \(0.818898\pi\) | |||||||
\(110\) | 2.19480 | − | 5.74805i | 0.209266 | − | 0.548055i | ||||
\(111\) | 2.41135 | + | 7.42136i | 0.228875 | + | 0.704404i | ||||
\(112\) | −2.38588 | + | 1.14349i | −0.225444 | + | 0.108050i | ||||
\(113\) | 5.99155 | − | 18.4401i | 0.563637 | − | 1.73470i | −0.108328 | − | 0.994115i | \(-0.534550\pi\) |
0.671965 | − | 0.740582i | \(-0.265450\pi\) | |||||||
\(114\) | 2.22533 | − | 2.47148i | 0.208422 | − | 0.231476i | ||||
\(115\) | 0.779974 | − | 4.98165i | 0.0727329 | − | 0.464541i | ||||
\(116\) | 2.31359 | + | 2.56950i | 0.214811 | + | 0.238572i | ||||
\(117\) | −0.980064 | + | 9.32468i | −0.0906069 | + | 0.862067i | ||||
\(118\) | 11.4620 | 1.05517 | ||||||||
\(119\) | −13.4428 | + | 10.3551i | −1.23230 | + | 0.949247i | ||||
\(120\) | −0.0807952 | − | 1.49113i | −0.00737556 | − | 0.136121i | ||||
\(121\) | −3.13215 | − | 1.39452i | −0.284741 | − | 0.126775i | ||||
\(122\) | 1.15298 | + | 10.9699i | 0.104386 | + | 0.993169i | ||||
\(123\) | 1.83802 | + | 0.390683i | 0.165729 | + | 0.0352267i | ||||
\(124\) | −2.15043 | − | 3.72465i | −0.193114 | − | 0.334484i | ||||
\(125\) | 1.80764 | + | 11.0332i | 0.161680 | + | 0.986843i | ||||
\(126\) | −1.90703 | + | 6.48257i | −0.169892 | + | 0.577513i | ||||
\(127\) | −1.15645 | − | 3.55917i | −0.102618 | − | 0.315826i | 0.886546 | − | 0.462640i | \(-0.153098\pi\) |
−0.989164 | + | 0.146815i | \(0.953098\pi\) | |||||||
\(128\) | −0.913545 | − | 0.406737i | −0.0807468 | − | 0.0359508i | ||||
\(129\) | −0.728326 | − | 6.92956i | −0.0641255 | − | 0.610113i | ||||
\(130\) | 7.32075 | + | 3.71379i | 0.642072 | + | 0.325721i | ||||
\(131\) | −0.881978 | + | 8.39146i | −0.0770588 | + | 0.733166i | 0.885965 | + | 0.463751i | \(0.153497\pi\) |
−0.963024 | + | 0.269415i | \(0.913170\pi\) | |||||||
\(132\) | 1.83762 | 0.159944 | ||||||||
\(133\) | 1.74420 | + | 13.0595i | 0.151241 | + | 1.13241i | ||||
\(134\) | −1.98690 | + | 6.11505i | −0.171642 | + | 0.528260i | ||||
\(135\) | −6.45478 | − | 5.20808i | −0.555539 | − | 0.448240i | ||||
\(136\) | −6.27341 | − | 1.33345i | −0.537940 | − | 0.114343i | ||||
\(137\) | −5.04709 | − | 5.60536i | −0.431202 | − | 0.478898i | 0.487910 | − | 0.872894i | \(-0.337759\pi\) |
−0.919112 | + | 0.393995i | \(0.871093\pi\) | |||||||
\(138\) | 1.47305 | − | 0.313107i | 0.125394 | − | 0.0266534i | ||||
\(139\) | 3.34443 | + | 10.2931i | 0.283671 | + | 0.873049i | 0.986794 | + | 0.161981i | \(0.0517883\pi\) |
−0.703123 | + | 0.711068i | \(0.748212\pi\) | |||||||
\(140\) | 4.70663 | + | 3.58436i | 0.397783 | + | 0.302933i | ||||
\(141\) | −1.75579 | + | 5.40376i | −0.147864 | + | 0.455079i | ||||
\(142\) | 0.428585 | − | 4.07771i | 0.0359660 | − | 0.342194i | ||||
\(143\) | −5.05077 | + | 8.74819i | −0.422367 | + | 0.731560i | ||||
\(144\) | −2.33320 | + | 1.03881i | −0.194433 | + | 0.0865672i | ||||
\(145\) | 2.75791 | − | 7.22282i | 0.229032 | − | 0.599822i | ||||
\(146\) | 6.53233 | − | 4.74602i | 0.540620 | − | 0.392783i | ||||
\(147\) | 2.56075 | + | 3.91107i | 0.211207 | + | 0.322579i | ||||
\(148\) | −3.61072 | − | 11.1126i | −0.296799 | − | 0.913454i | ||||
\(149\) | 2.22625 | + | 3.85598i | 0.182381 | + | 0.315894i | 0.942691 | − | 0.333667i | \(-0.108286\pi\) |
−0.760310 | + | 0.649561i | \(0.774953\pi\) | |||||||
\(150\) | −2.88586 | + | 1.67981i | −0.235629 | + | 0.137156i | ||||
\(151\) | −2.10582 | + | 3.64739i | −0.171370 | + | 0.296821i | −0.938899 | − | 0.344193i | \(-0.888153\pi\) |
0.767529 | + | 0.641014i | \(0.221486\pi\) | |||||||
\(152\) | −3.33218 | + | 3.70076i | −0.270276 | + | 0.300172i | ||||
\(153\) | −13.2519 | + | 9.62807i | −1.07135 | + | 0.778383i | ||||
\(154\) | −4.71768 | + | 5.54468i | −0.380162 | + | 0.446803i | ||||
\(155\) | −5.22351 | + | 8.07477i | −0.419562 | + | 0.648581i | ||||
\(156\) | −0.256271 | + | 2.43825i | −0.0205181 | + | 0.195217i | ||||
\(157\) | 2.32483 | − | 4.02672i | 0.185541 | − | 0.321367i | −0.758217 | − | 0.652002i | \(-0.773929\pi\) |
0.943759 | + | 0.330635i | \(0.107263\pi\) | |||||||
\(158\) | 2.89888 | − | 1.29066i | 0.230623 | − | 0.102680i | ||||
\(159\) | −8.96319 | + | 1.90518i | −0.710827 | + | 0.151091i | ||||
\(160\) | 0.120982 | + | 2.23279i | 0.00956444 | + | 0.176518i | ||||
\(161\) | −2.83699 | + | 5.24850i | −0.223586 | + | 0.413640i | ||||
\(162\) | −1.60223 | + | 4.93117i | −0.125883 | + | 0.387429i | ||||
\(163\) | −9.49662 | + | 2.01857i | −0.743832 | + | 0.158106i | −0.564213 | − | 0.825630i | \(-0.690820\pi\) |
−0.179620 | + | 0.983736i | \(0.557487\pi\) | |||||||
\(164\) | −2.75222 | − | 0.585003i | −0.214913 | − | 0.0456811i | ||||
\(165\) | −1.87195 | − | 3.65787i | −0.145731 | − | 0.284765i | ||||
\(166\) | −2.70305 | + | 0.574551i | −0.209797 | + | 0.0445938i | ||||
\(167\) | −10.2472 | − | 7.44504i | −0.792953 | − | 0.576114i | 0.115885 | − | 0.993263i | \(-0.463030\pi\) |
−0.908838 | + | 0.417148i | \(0.863030\pi\) | |||||||
\(168\) | −0.498658 | + | 1.69509i | −0.0384723 | + | 0.130779i | ||||
\(169\) | −0.385990 | − | 0.280438i | −0.0296915 | − | 0.0215722i | ||||
\(170\) | 3.73629 | + | 13.8459i | 0.286561 | + | 1.06193i | ||||
\(171\) | 1.32946 | + | 12.6489i | 0.101666 | + | 0.967288i | ||||
\(172\) | 1.09058 | + | 10.3762i | 0.0831563 | + | 0.791179i | ||||
\(173\) | 10.7430 | − | 11.9313i | 0.816777 | − | 0.907123i | −0.180293 | − | 0.983613i | \(-0.557705\pi\) |
0.997070 | + | 0.0764901i | \(0.0243714\pi\) | |||||||
\(174\) | 2.30909 | 0.175052 | ||||||||
\(175\) | 2.34029 | − | 13.0201i | 0.176909 | − | 0.984227i | ||||
\(176\) | −2.75162 | −0.207411 | ||||||||
\(177\) | 5.12200 | − | 5.68855i | 0.384993 | − | 0.427578i | ||||
\(178\) | 1.14144 | + | 10.8601i | 0.0855544 | + | 0.813996i | ||||
\(179\) | −0.764128 | − | 7.27019i | −0.0571136 | − | 0.543400i | −0.985245 | − | 0.171148i | \(-0.945252\pi\) |
0.928132 | − | 0.372252i | \(-0.121414\pi\) | |||||||
\(180\) | 4.44458 | + | 3.58613i | 0.331279 | + | 0.267295i | ||||
\(181\) | 9.04537 | + | 6.57184i | 0.672337 | + | 0.488481i | 0.870807 | − | 0.491626i | \(-0.163597\pi\) |
−0.198470 | + | 0.980107i | \(0.563597\pi\) | |||||||
\(182\) | −6.69907 | − | 7.03293i | −0.496568 | − | 0.521316i | ||||
\(183\) | 5.95954 | + | 4.32986i | 0.440542 | + | 0.320072i | ||||
\(184\) | −2.20573 | + | 0.468842i | −0.162608 | + | 0.0345635i | ||||
\(185\) | −18.4421 | + | 18.5075i | −1.35589 | + | 1.36070i | ||||
\(186\) | −2.80948 | − | 0.597173i | −0.206001 | − | 0.0437869i | ||||
\(187\) | −17.2621 | + | 3.66916i | −1.26233 | + | 0.268316i | ||||
\(188\) | 2.62909 | − | 8.09152i | 0.191746 | − | 0.590135i | ||||
\(189\) | 5.14316 | + | 8.35772i | 0.374110 | + | 0.607935i | ||||
\(190\) | 10.7610 | + | 2.86298i | 0.780684 | + | 0.207702i | ||||
\(191\) | 11.1094 | − | 2.36138i | 0.803850 | − | 0.170864i | 0.212376 | − | 0.977188i | \(-0.431880\pi\) |
0.591473 | + | 0.806324i | \(0.298546\pi\) | |||||||
\(192\) | −0.610093 | + | 0.271631i | −0.0440297 | + | 0.0196033i | ||||
\(193\) | 6.89646 | − | 11.9450i | 0.496418 | − | 0.859821i | −0.503574 | − | 0.863952i | \(-0.667982\pi\) |
0.999991 | + | 0.00413148i | \(0.00131509\pi\) | |||||||
\(194\) | −0.00410386 | + | 0.0390457i | −0.000294640 | + | 0.00280331i | ||||
\(195\) | 5.11452 | − | 1.97368i | 0.366259 | − | 0.141338i | ||||
\(196\) | −3.83443 | − | 5.85638i | −0.273888 | − | 0.418313i | ||||
\(197\) | 9.71301 | − | 7.05692i | 0.692024 | − | 0.502785i | −0.185301 | − | 0.982682i | \(-0.559326\pi\) |
0.877325 | + | 0.479897i | \(0.159326\pi\) | |||||||
\(198\) | −4.70242 | + | 5.22257i | −0.334186 | + | 0.371152i | ||||
\(199\) | 1.79398 | − | 3.10726i | 0.127172 | − | 0.220268i | −0.795408 | − | 0.606074i | \(-0.792743\pi\) |
0.922580 | + | 0.385807i | \(0.126077\pi\) | |||||||
\(200\) | 4.32124 | − | 2.51532i | 0.305558 | − | 0.177860i | ||||
\(201\) | 2.14699 | + | 3.71870i | 0.151437 | + | 0.262297i | ||||
\(202\) | 3.22077 | + | 9.91251i | 0.226612 | + | 0.697442i | ||||
\(203\) | −5.92809 | + | 6.96727i | −0.416070 | + | 0.489007i | ||||
\(204\) | −3.46516 | + | 2.51758i | −0.242610 | + | 0.176266i | ||||
\(205\) | 1.63916 | + | 6.07437i | 0.114484 | + | 0.424253i | ||||
\(206\) | 5.74578 | − | 2.55818i | 0.400327 | − | 0.178237i | ||||
\(207\) | −2.87964 | + | 4.98769i | −0.200149 | + | 0.346668i | ||||
\(208\) | 0.383736 | − | 3.65101i | 0.0266073 | − | 0.253152i | ||||
\(209\) | −4.23438 | + | 13.0321i | −0.292898 | + | 0.901447i | ||||
\(210\) | 3.88213 | − | 0.734150i | 0.267892 | − | 0.0506612i | ||||
\(211\) | −1.55743 | − | 4.79327i | −0.107218 | − | 0.329982i | 0.883027 | − | 0.469322i | \(-0.155502\pi\) |
−0.990245 | + | 0.139340i | \(0.955502\pi\) | |||||||
\(212\) | 13.4214 | − | 2.85280i | 0.921783 | − | 0.195931i | ||||
\(213\) | −1.83223 | − | 2.03489i | −0.125542 | − | 0.139429i | ||||
\(214\) | 7.83593 | + | 1.66558i | 0.535653 | + | 0.113857i | ||||
\(215\) | 19.5434 | − | 12.7409i | 1.33285 | − | 0.868924i | ||||
\(216\) | −1.14618 | + | 3.52759i | −0.0779880 | + | 0.240022i | ||||
\(217\) | 9.01459 | − | 6.94399i | 0.611950 | − | 0.471389i | ||||
\(218\) | 3.41093 | 0.231017 | ||||||||
\(219\) | 0.563652 | − | 5.36279i | 0.0380881 | − | 0.362384i | ||||
\(220\) | 2.80303 | + | 5.47725i | 0.188980 | + | 0.369276i | ||||
\(221\) | −2.46112 | − | 23.4160i | −0.165553 | − | 1.57513i | ||||
\(222\) | −7.12865 | − | 3.17388i | −0.478444 | − | 0.213017i | ||||
\(223\) | 1.63410 | + | 5.02926i | 0.109428 | + | 0.336784i | 0.990744 | − | 0.135743i | \(-0.0433420\pi\) |
−0.881316 | + | 0.472527i | \(0.843342\pi\) | |||||||
\(224\) | 0.746683 | − | 2.53820i | 0.0498899 | − | 0.169591i | ||||
\(225\) | 2.61077 | − | 12.5003i | 0.174051 | − | 0.833352i | ||||
\(226\) | 9.69453 | + | 16.7914i | 0.644870 | + | 1.11695i | ||||
\(227\) | −21.0434 | − | 4.47292i | −1.39670 | − | 0.296878i | −0.552772 | − | 0.833332i | \(-0.686430\pi\) |
−0.843929 | + | 0.536454i | \(0.819763\pi\) | |||||||
\(228\) | 0.347631 | + | 3.30749i | 0.0230224 | + | 0.219044i | ||||
\(229\) | −10.8474 | − | 4.82956i | −0.716815 | − | 0.319146i | 0.0157197 | − | 0.999876i | \(-0.494996\pi\) |
−0.732534 | + | 0.680730i | \(0.761663\pi\) | |||||||
\(230\) | 3.18018 | + | 3.91301i | 0.209695 | + | 0.258016i | ||||
\(231\) | 0.643626 | + | 4.81909i | 0.0423475 | + | 0.317073i | ||||
\(232\) | −3.45760 | −0.227003 | ||||||||
\(233\) | −1.82200 | + | 17.3352i | −0.119363 | + | 1.13566i | 0.756799 | + | 0.653647i | \(0.226762\pi\) |
−0.876162 | + | 0.482016i | \(0.839905\pi\) | |||||||
\(234\) | −6.27380 | − | 6.96776i | −0.410131 | − | 0.455497i | ||||
\(235\) | −18.7848 | + | 3.00933i | −1.22538 | + | 0.196307i | ||||
\(236\) | −7.66960 | + | 8.51796i | −0.499249 | + | 0.554472i | ||||
\(237\) | 0.654860 | − | 2.01545i | 0.0425377 | − | 0.130918i | ||||
\(238\) | 1.29968 | − | 16.9188i | 0.0842454 | − | 1.09669i | ||||
\(239\) | 8.14385 | + | 25.0642i | 0.526782 | + | 1.62127i | 0.760766 | + | 0.649027i | \(0.224824\pi\) |
−0.233984 | + | 0.972240i | \(0.575176\pi\) | |||||||
\(240\) | 1.16219 | + | 0.937716i | 0.0750188 | + | 0.0605293i | ||||
\(241\) | −7.85687 | − | 8.72594i | −0.506106 | − | 0.562087i | 0.434900 | − | 0.900479i | \(-0.356784\pi\) |
−0.941005 | + | 0.338392i | \(0.890117\pi\) | |||||||
\(242\) | 3.13215 | − | 1.39452i | 0.201342 | − | 0.0896433i | ||||
\(243\) | 7.29503 | + | 12.6354i | 0.467976 | + | 0.810559i | ||||
\(244\) | −8.92373 | − | 6.48347i | −0.571283 | − | 0.415062i | ||||
\(245\) | −7.75135 | + | 13.5984i | −0.495216 | + | 0.868770i | ||||
\(246\) | −1.52021 | + | 1.10450i | −0.0969250 | + | 0.0704201i | ||||
\(247\) | −16.7012 | − | 7.43583i | −1.06267 | − | 0.473131i | ||||
\(248\) | 4.20688 | + | 0.894199i | 0.267137 | + | 0.0567817i | ||||
\(249\) | −0.922754 | + | 1.59826i | −0.0584772 | + | 0.101285i | ||||
\(250\) | −9.40885 | − | 6.03934i | −0.595068 | − | 0.381961i | ||||
\(251\) | 9.32898 | 0.588840 | 0.294420 | − | 0.955676i | \(-0.404874\pi\) | ||||
0.294420 | + | 0.955676i | \(0.404874\pi\) | |||||||
\(252\) | −3.54144 | − | 5.75489i | −0.223090 | − | 0.362524i | ||||
\(253\) | −5.01989 | + | 3.64716i | −0.315598 | + | 0.229295i | ||||
\(254\) | 3.41879 | + | 1.52215i | 0.214514 | + | 0.0955079i | ||||
\(255\) | 8.54127 | + | 4.33295i | 0.534875 | + | 0.271340i | ||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | 2.49432 | + | 4.32028i | 0.155591 | + | 0.269492i | 0.933274 | − | 0.359165i | \(-0.116938\pi\) |
−0.777683 | + | 0.628657i | \(0.783605\pi\) | |||||||
\(258\) | 5.63701 | + | 4.09553i | 0.350945 | + | 0.254976i | ||||
\(259\) | 27.8779 | − | 13.3612i | 1.73225 | − | 0.830224i | ||||
\(260\) | −7.65842 | + | 2.95537i | −0.474955 | + | 0.183284i | ||||
\(261\) | −5.90891 | + | 6.56251i | −0.365752 | + | 0.406209i | ||||
\(262\) | −5.64591 | − | 6.27042i | −0.348806 | − | 0.387388i | ||||
\(263\) | 5.53347 | + | 6.14555i | 0.341209 | + | 0.378951i | 0.889189 | − | 0.457541i | \(-0.151270\pi\) |
−0.547980 | + | 0.836491i | \(0.684603\pi\) | |||||||
\(264\) | −1.22961 | + | 1.36562i | −0.0756771 | + | 0.0840479i | ||||
\(265\) | −19.3507 | − | 23.8098i | −1.18870 | − | 1.46262i | ||||
\(266\) | −10.8722 | − | 7.44234i | −0.666619 | − | 0.456319i | ||||
\(267\) | 5.89986 | + | 4.28650i | 0.361065 | + | 0.262329i | ||||
\(268\) | −3.21487 | − | 5.56833i | −0.196380 | − | 0.340140i | ||||
\(269\) | −0.343654 | + | 0.153005i | −0.0209529 | + | 0.00932885i | −0.417186 | − | 0.908821i | \(-0.636984\pi\) |
0.396233 | + | 0.918150i | \(0.370317\pi\) | |||||||
\(270\) | 8.18945 | − | 1.31195i | 0.498394 | − | 0.0798430i | ||||
\(271\) | −10.3897 | − | 4.62578i | −0.631127 | − | 0.280996i | 0.0661366 | − | 0.997811i | \(-0.478933\pi\) |
−0.697264 | + | 0.716815i | \(0.745599\pi\) | |||||||
\(272\) | 5.18868 | − | 3.76980i | 0.314610 | − | 0.228577i | ||||
\(273\) | −6.48400 | + | 0.181937i | −0.392429 | + | 0.0110114i | ||||
\(274\) | 7.54276 | 0.455675 | ||||||||
\(275\) | 8.04734 | − | 11.1591i | 0.485273 | − | 0.672921i | ||||
\(276\) | −0.752980 | + | 1.30420i | −0.0453241 | + | 0.0785036i | ||||
\(277\) | 15.4848 | + | 3.29140i | 0.930392 | + | 0.197761i | 0.648089 | − | 0.761564i | \(-0.275568\pi\) |
0.282303 | + | 0.959325i | \(0.408902\pi\) | |||||||
\(278\) | −9.88712 | − | 4.40203i | −0.592990 | − | 0.264016i | ||||
\(279\) | 8.88657 | − | 6.45647i | 0.532025 | − | 0.386539i | ||||
\(280\) | −5.81305 | + | 1.09931i | −0.347396 | + | 0.0656961i | ||||
\(281\) | −8.54871 | − | 6.21100i | −0.509973 | − | 0.370517i | 0.302840 | − | 0.953041i | \(-0.402065\pi\) |
−0.812814 | + | 0.582524i | \(0.802065\pi\) | |||||||
\(282\) | −2.84093 | − | 4.92063i | −0.169175 | − | 0.293019i | ||||
\(283\) | 29.8789 | − | 13.3029i | 1.77612 | − | 0.790778i | 0.792652 | − | 0.609675i | \(-0.208700\pi\) |
0.983464 | − | 0.181103i | \(-0.0579668\pi\) | |||||||
\(284\) | 2.74355 | + | 3.04702i | 0.162800 | + | 0.180807i | ||||
\(285\) | 6.22960 | − | 4.06125i | 0.369010 | − | 0.240568i | ||||
\(286\) | −3.12155 | − | 9.60713i | −0.184581 | − | 0.568082i | ||||
\(287\) | 0.570184 | − | 7.42251i | 0.0336569 | − | 0.438137i | ||||
\(288\) | 0.789230 | − | 2.42900i | 0.0465058 | − | 0.143130i | ||||
\(289\) | 16.1486 | − | 17.9349i | 0.949919 | − | 1.05499i | ||||
\(290\) | 3.52220 | + | 6.88253i | 0.206830 | + | 0.404156i | ||||
\(291\) | 0.0175443 | + | 0.0194849i | 0.00102846 | + | 0.00114222i | ||||
\(292\) | −0.844005 | + | 8.03017i | −0.0493917 | + | 0.469930i | ||||
\(293\) | −33.7700 | −1.97286 | −0.986431 | − | 0.164175i | \(-0.947504\pi\) | ||||
−0.986431 | + | 0.164175i | \(0.947504\pi\) | |||||||
\(294\) | −4.61996 | − | 0.714008i | −0.269442 | − | 0.0416418i | ||||
\(295\) | 24.7683 | + | 6.58965i | 1.44207 | + | 0.383664i | ||||
\(296\) | 10.6743 | + | 4.75252i | 0.620434 | + | 0.276235i | ||||
\(297\) | 1.06683 | + | 10.1502i | 0.0619039 | + | 0.588976i | ||||
\(298\) | −4.35520 | − | 0.925726i | −0.252290 | − | 0.0536259i | ||||
\(299\) | −4.13919 | − | 7.16929i | −0.239376 | − | 0.414611i | ||||
\(300\) | 0.682674 | − | 3.26862i | 0.0394142 | − | 0.188714i | ||||
\(301\) | −26.8293 | + | 6.49429i | −1.54642 | + | 0.374325i | ||||
\(302\) | −1.30147 | − | 4.00552i | −0.0748912 | − | 0.230492i | ||||
\(303\) | 6.35878 | + | 2.83111i | 0.365302 | + | 0.162643i | ||||
\(304\) | −0.520538 | − | 4.95259i | −0.0298549 | − | 0.284050i | ||||
\(305\) | −3.81524 | + | 24.3677i | −0.218460 | + | 1.39529i | ||||
\(306\) | 1.71220 | − | 16.2905i | 0.0978801 | − | 0.931267i | ||||
\(307\) | 1.61221 | 0.0920135 | 0.0460067 | − | 0.998941i | \(-0.485350\pi\) | ||||
0.0460067 | + | 0.998941i | \(0.485350\pi\) | |||||||
\(308\) | −0.963757 | − | 7.21604i | −0.0549151 | − | 0.411172i | ||||
\(309\) | 1.29798 | − | 3.99476i | 0.0738394 | − | 0.227254i | ||||
\(310\) | −2.50552 | − | 9.28490i | −0.142304 | − | 0.527347i | ||||
\(311\) | 11.3898 | + | 2.42098i | 0.645858 | + | 0.137281i | 0.519183 | − | 0.854663i | \(-0.326236\pi\) |
0.126675 | + | 0.991944i | \(0.459570\pi\) | |||||||
\(312\) | −1.64050 | − | 1.82196i | −0.0928749 | − | 0.103148i | ||||
\(313\) | −5.20974 | + | 1.10736i | −0.294472 | + | 0.0625919i | −0.352779 | − | 0.935707i | \(-0.614763\pi\) |
0.0583069 | + | 0.998299i | \(0.481430\pi\) | |||||||
\(314\) | 1.43682 | + | 4.42208i | 0.0810845 | + | 0.249553i | ||||
\(315\) | −7.84780 | + | 12.9118i | −0.442173 | + | 0.727498i | ||||
\(316\) | −0.980579 | + | 3.01791i | −0.0551619 | + | 0.169771i | ||||
\(317\) | −0.314217 | + | 2.98957i | −0.0176482 | + | 0.167911i | −0.999796 | − | 0.0201997i | \(-0.993570\pi\) |
0.982148 | + | 0.188111i | \(0.0602365\pi\) | |||||||
\(318\) | 4.58172 | − | 7.93577i | 0.256930 | − | 0.445016i | ||||
\(319\) | −8.69150 | + | 3.86970i | −0.486630 | + | 0.216662i | ||||
\(320\) | −1.74024 | − | 1.40412i | −0.0972824 | − | 0.0784929i | ||||
\(321\) | 4.32823 | − | 3.14464i | 0.241578 | − | 0.175517i | ||||
\(322\) | −2.00208 | − | 5.62023i | −0.111571 | − | 0.313203i | ||||
\(323\) | −9.86960 | − | 30.3755i | −0.549159 | − | 1.69014i | ||||
\(324\) | −2.59247 | − | 4.49029i | −0.144026 | − | 0.249460i | ||||
\(325\) | 13.6843 | + | 12.2339i | 0.759068 | + | 0.678614i | ||||
\(326\) | 4.85439 | − | 8.40805i | 0.268860 | − | 0.465679i | ||||
\(327\) | 1.52423 | − | 1.69283i | 0.0842900 | − | 0.0936136i | ||||
\(328\) | 2.27634 | − | 1.65386i | 0.125690 | − | 0.0913190i | ||||
\(329\) | 22.1406 | + | 4.06065i | 1.22065 | + | 0.223871i | ||||
\(330\) | 3.97091 | + | 1.05647i | 0.218591 | + | 0.0581565i | ||||
\(331\) | −3.16284 | + | 30.0924i | −0.173845 | + | 1.65403i | 0.465455 | + | 0.885071i | \(0.345891\pi\) |
−0.639301 | + | 0.768957i | \(0.720776\pi\) | |||||||
\(332\) | 1.38172 | − | 2.39321i | 0.0758317 | − | 0.131344i | ||||
\(333\) | 27.2623 | − | 12.1380i | 1.49397 | − | 0.665156i | ||||
\(334\) | 12.3895 | − | 2.63346i | 0.677921 | − | 0.144097i | ||||
\(335\) | −7.80910 | + | 12.0717i | −0.426657 | + | 0.659548i | ||||
\(336\) | −0.926028 | − | 1.50481i | −0.0505190 | − | 0.0820941i | ||||
\(337\) | 0.455223 | − | 1.40103i | 0.0247976 | − | 0.0763191i | −0.937892 | − | 0.346928i | \(-0.887225\pi\) |
0.962689 | + | 0.270609i | \(0.0872249\pi\) | |||||||
\(338\) | 0.466684 | − | 0.0991967i | 0.0253842 | − | 0.00539559i | ||||
\(339\) | 12.6656 | + | 2.69217i | 0.687903 | + | 0.146218i | ||||
\(340\) | −12.7896 | − | 6.48811i | −0.693612 | − | 0.351867i | ||||
\(341\) | 11.5757 | − | 2.46050i | 0.626862 | − | 0.133244i | ||||
\(342\) | −10.2896 | − | 7.47581i | −0.556396 | − | 0.404245i | ||||
\(343\) | 14.0151 | − | 12.1069i | 0.756746 | − | 0.653709i | ||||
\(344\) | −8.44078 | − | 6.13258i | −0.455096 | − | 0.330647i | ||||
\(345\) | 3.36312 | + | 0.170281i | 0.181064 | + | 0.00916763i | ||||
\(346\) | 1.67823 | + | 15.9672i | 0.0902219 | + | 0.858404i | ||||
\(347\) | −3.52498 | − | 33.5379i | −0.189231 | − | 1.80041i | −0.517349 | − | 0.855775i | \(-0.673081\pi\) |
0.328118 | − | 0.944637i | \(-0.393586\pi\) | |||||||
\(348\) | −1.54508 | + | 1.71599i | −0.0828252 | + | 0.0919868i | ||||
\(349\) | 21.2431 | 1.13712 | 0.568558 | − | 0.822643i | \(-0.307501\pi\) | ||||
0.568558 | + | 0.822643i | \(0.307501\pi\) | |||||||
\(350\) | 8.10986 | + | 10.4513i | 0.433491 | + | 0.558647i | ||||
\(351\) | −13.6167 | −0.726804 | ||||||||
\(352\) | 1.84120 | − | 2.04486i | 0.0981361 | − | 0.108991i | ||||
\(353\) | 0.106362 | + | 1.01197i | 0.00566109 | + | 0.0538617i | 0.996988 | − | 0.0775593i | \(-0.0247127\pi\) |
−0.991327 | + | 0.131421i | \(0.958046\pi\) | |||||||
\(354\) | 0.800134 | + | 7.61277i | 0.0425267 | + | 0.404614i | ||||
\(355\) | 3.27045 | − | 8.56512i | 0.173577 | − | 0.454589i | ||||
\(356\) | −8.83437 | − | 6.41854i | −0.468220 | − | 0.340182i | ||||
\(357\) | −7.81595 | − | 8.20547i | −0.413664 | − | 0.434280i | ||||
\(358\) | 5.91411 | + | 4.29685i | 0.312570 | + | 0.227096i | ||||
\(359\) | 18.6012 | − | 3.95380i | 0.981733 | − | 0.208674i | 0.311030 | − | 0.950400i | \(-0.399326\pi\) |
0.670703 | + | 0.741726i | \(0.265993\pi\) | |||||||
\(360\) | −5.63902 | + | 0.903375i | −0.297203 | + | 0.0476120i | ||||
\(361\) | −5.67238 | − | 1.20570i | −0.298546 | − | 0.0634579i | ||||
\(362\) | −10.9364 | + | 2.32460i | −0.574803 | + | 0.122178i | ||||
\(363\) | 0.707556 | − | 2.17763i | 0.0371370 | − | 0.114296i | ||||
\(364\) | 9.70904 | − | 0.272431i | 0.508892 | − | 0.0142792i | ||||
\(365\) | 16.8442 | − | 6.50015i | 0.881667 | − | 0.340233i | ||||
\(366\) | −7.20542 | + | 1.53156i | −0.376633 | + | 0.0800559i | ||||
\(367\) | −29.2243 | + | 13.0115i | −1.52550 | + | 0.679195i | −0.986597 | − | 0.163174i | \(-0.947827\pi\) |
−0.538901 | + | 0.842369i | \(0.681160\pi\) | |||||||
\(368\) | 1.12750 | − | 1.95289i | 0.0587751 | − | 0.101801i | ||||
\(369\) | 0.751165 | − | 7.14686i | 0.0391041 | − | 0.372051i | ||||
\(370\) | −1.41361 | − | 26.0891i | −0.0734903 | − | 1.35631i | ||||
\(371\) | 12.1822 | + | 34.1978i | 0.632468 | + | 1.77546i | ||||
\(372\) | 2.32369 | − | 1.68826i | 0.120478 | − | 0.0875324i | ||||
\(373\) | −1.58785 | + | 1.76349i | −0.0822157 | + | 0.0913098i | −0.782849 | − | 0.622212i | \(-0.786234\pi\) |
0.700633 | + | 0.713522i | \(0.252901\pi\) | |||||||
\(374\) | 8.82385 | − | 15.2834i | 0.456271 | − | 0.790284i | ||||
\(375\) | −7.20178 | + | 1.97079i | −0.371898 | + | 0.101771i | ||||
\(376\) | 4.25396 | + | 7.36808i | 0.219381 | + | 0.379980i | ||||
\(377\) | −3.92244 | − | 12.0720i | −0.202016 | − | 0.621741i | ||||
\(378\) | −9.65244 | − | 1.77029i | −0.496468 | − | 0.0910539i | ||||
\(379\) | −26.2276 | + | 19.0554i | −1.34722 | + | 0.978812i | −0.348075 | + | 0.937467i | \(0.613165\pi\) |
−0.999145 | + | 0.0413458i | \(0.986835\pi\) | |||||||
\(380\) | −9.32811 | + | 6.08127i | −0.478522 | + | 0.311962i | ||||
\(381\) | 2.28317 | − | 1.01653i | 0.116971 | − | 0.0520787i | ||||
\(382\) | −5.67881 | + | 9.83598i | −0.290553 | + | 0.503253i | ||||
\(383\) | 1.89158 | − | 17.9972i | 0.0966554 | − | 0.919615i | −0.833518 | − | 0.552493i | \(-0.813677\pi\) |
0.930173 | − | 0.367122i | \(-0.119657\pi\) | |||||||
\(384\) | 0.206371 | − | 0.635144i | 0.0105313 | − | 0.0324121i | ||||
\(385\) | −13.3821 | + | 9.26925i | −0.682016 | + | 0.472405i | ||||
\(386\) | 4.26224 | + | 13.1178i | 0.216943 | + | 0.667680i | ||||
\(387\) | −26.0646 | + | 5.54020i | −1.32494 | + | 0.281624i | ||||
\(388\) | −0.0262706 | − | 0.0291764i | −0.00133369 | − | 0.00148121i | ||||
\(389\) | 13.1015 | + | 2.78482i | 0.664275 | + | 0.141196i | 0.527696 | − | 0.849433i | \(-0.323056\pi\) |
0.136579 | + | 0.990629i | \(0.456389\pi\) | |||||||
\(390\) | −1.95555 | + | 5.12148i | −0.0990233 | + | 0.259336i | ||||
\(391\) | 4.46919 | − | 13.7547i | 0.226017 | − | 0.695608i | ||||
\(392\) | 6.91787 | + | 1.06915i | 0.349405 | + | 0.0540000i | ||||
\(393\) | −5.63494 | −0.284245 | ||||||||
\(394\) | −1.25496 | + | 11.9402i | −0.0632241 | + | 0.601537i | ||||
\(395\) | 7.00620 | − | 1.12240i | 0.352520 | − | 0.0564739i | ||||
\(396\) | −0.734590 | − | 6.98916i | −0.0369145 | − | 0.351218i | ||||
\(397\) | 7.20849 | + | 3.20943i | 0.361784 | + | 0.161076i | 0.579575 | − | 0.814919i | \(-0.303219\pi\) |
−0.217791 | + | 0.975995i | \(0.569885\pi\) | |||||||
\(398\) | 1.10874 | + | 3.41234i | 0.0555760 | + | 0.171045i | ||||
\(399\) | −8.55202 | + | 2.07010i | −0.428136 | + | 0.103635i | ||||
\(400\) | −1.02223 | + | 4.89439i | −0.0511113 | + | 0.244719i | ||||
\(401\) | −3.98786 | − | 6.90717i | −0.199144 | − | 0.344928i | 0.749107 | − | 0.662449i | \(-0.230483\pi\) |
−0.948251 | + | 0.317521i | \(0.897150\pi\) | |||||||
\(402\) | −4.20015 | − | 0.892769i | −0.209484 | − | 0.0445273i | ||||
\(403\) | 1.65040 | + | 15.7025i | 0.0822121 | + | 0.782196i | ||||
\(404\) | −9.52154 | − | 4.23926i | −0.473714 | − | 0.210911i | ||||
\(405\) | −6.29724 | + | 9.73461i | −0.312912 | + | 0.483717i | ||||
\(406\) | −1.21103 | − | 9.06745i | −0.0601022 | − | 0.450010i | ||||
\(407\) | 32.1514 | 1.59369 | ||||||||
\(408\) | 0.447713 | − | 4.25971i | 0.0221651 | − | 0.210887i | ||||
\(409\) | 4.64367 | + | 5.15732i | 0.229615 | + | 0.255013i | 0.846932 | − | 0.531701i | \(-0.178447\pi\) |
−0.617317 | + | 0.786714i | \(0.711780\pi\) | |||||||
\(410\) | −5.61095 | − | 2.84642i | −0.277105 | − | 0.140574i | ||||
\(411\) | 3.37060 | − | 3.74343i | 0.166259 | − | 0.184650i | ||||
\(412\) | −1.94357 | + | 5.98170i | −0.0957530 | + | 0.294697i | ||||
\(413\) | −25.0243 | − | 17.1299i | −1.23137 | − | 0.842905i | ||||
\(414\) | −1.77972 | − | 5.47741i | −0.0874683 | − | 0.269200i | ||||
\(415\) | −6.17133 | − | 0.312466i | −0.302939 | − | 0.0153384i | ||||
\(416\) | 2.45646 | + | 2.72817i | 0.120438 | + | 0.133760i | ||||
\(417\) | −6.60292 | + | 2.93981i | −0.323346 | + | 0.143963i | ||||
\(418\) | −6.85137 | − | 11.8669i | −0.335111 | − | 0.580430i | ||||
\(419\) | −29.7447 | − | 21.6108i | −1.45313 | − | 1.05576i | −0.985089 | − | 0.172048i | \(-0.944961\pi\) |
−0.468037 | − | 0.883709i | \(-0.655039\pi\) | |||||||
\(420\) | −2.05207 | + | 3.37623i | −0.100131 | + | 0.164743i | ||||
\(421\) | −21.6277 | + | 15.7134i | −1.05407 | + | 0.765825i | −0.972982 | − | 0.230882i | \(-0.925839\pi\) |
−0.0810864 | + | 0.996707i | \(0.525839\pi\) | |||||||
\(422\) | 4.60421 | + | 2.04993i | 0.224130 | + | 0.0997889i | ||||
\(423\) | 21.2544 | + | 4.51777i | 1.03343 | + | 0.219661i | ||||
\(424\) | −6.86060 | + | 11.8829i | −0.333180 | + | 0.577085i | ||||
\(425\) | 0.113597 | + | 32.0676i | 0.00551026 | + | 1.55551i | ||||
\(426\) | 2.73822 | 0.132667 | ||||||||
\(427\) | 13.8771 | − | 25.6730i | 0.671562 | − | 1.24240i | ||||
\(428\) | −6.48103 | + | 4.70874i | −0.313272 | + | 0.227606i | ||||
\(429\) | −6.16288 | − | 2.74389i | −0.297547 | − | 0.132476i | ||||
\(430\) | −3.60876 | + | 23.0489i | −0.174030 | + | 1.11152i | ||||
\(431\) | −6.82602 | + | 3.03914i | −0.328798 | + | 0.146390i | −0.564495 | − | 0.825436i | \(-0.690929\pi\) |
0.235698 | + | 0.971826i | \(0.424263\pi\) | |||||||
\(432\) | −1.85457 | − | 3.21220i | −0.0892278 | − | 0.154547i | ||||
\(433\) | 17.3291 | + | 12.5903i | 0.832782 | + | 0.605051i | 0.920345 | − | 0.391108i | \(-0.127908\pi\) |
−0.0875633 | + | 0.996159i | \(0.527908\pi\) | |||||||
\(434\) | −0.871547 | + | 11.3456i | −0.0418356 | + | 0.544605i | ||||
\(435\) | 4.98971 | + | 1.32752i | 0.239238 | + | 0.0636498i | ||||
\(436\) | −2.28236 | + | 2.53482i | −0.109305 | + | 0.121396i | ||||
\(437\) | −7.51409 | − | 8.34524i | −0.359447 | − | 0.399207i | ||||
\(438\) | 3.60818 | + | 4.00728i | 0.172405 | + | 0.191475i | ||||
\(439\) | −4.76100 | + | 5.28763i | −0.227230 | + | 0.252365i | −0.845969 | − | 0.533232i | \(-0.820977\pi\) |
0.618739 | + | 0.785597i | \(0.287644\pi\) | |||||||
\(440\) | −5.94598 | − | 1.58194i | −0.283463 | − | 0.0754159i | ||||
\(441\) | 13.8516 | − | 11.3029i | 0.659600 | − | 0.538235i | ||||
\(442\) | 19.0483 | + | 13.8394i | 0.906033 | + | 0.658272i | ||||
\(443\) | −11.5283 | − | 19.9676i | −0.547726 | − | 0.948689i | −0.998430 | − | 0.0560158i | \(-0.982160\pi\) |
0.450704 | − | 0.892674i | \(-0.351173\pi\) | |||||||
\(444\) | 7.12865 | − | 3.17388i | 0.338311 | − | 0.150626i | ||||
\(445\) | −3.77703 | + | 24.1237i | −0.179048 | + | 1.14357i | ||||
\(446\) | −4.83090 | − | 2.15085i | −0.228750 | − | 0.101846i | ||||
\(447\) | −2.40562 | + | 1.74779i | −0.113782 | + | 0.0826675i | ||||
\(448\) | 1.38662 | + | 2.25328i | 0.0655117 | + | 0.106458i | ||||
\(449\) | 5.87956 | 0.277473 | 0.138737 | − | 0.990329i | \(-0.455696\pi\) | ||||
0.138737 | + | 0.990329i | \(0.455696\pi\) | |||||||
\(450\) | 7.54258 | + | 10.3045i | 0.355560 | + | 0.485759i | ||||
\(451\) | 3.87114 | − | 6.70501i | 0.182285 | − | 0.315726i | ||||
\(452\) | −18.9654 | − | 4.03121i | −0.892055 | − | 0.189612i | ||||
\(453\) | −2.56950 | − | 1.14401i | −0.120726 | − | 0.0537505i | ||||
\(454\) | 17.4048 | − | 12.6454i | 0.816849 | − | 0.593476i | ||||
\(455\) | −10.4327 | − | 19.0488i | −0.489093 | − | 0.893022i | ||||
\(456\) | −2.69055 | − | 1.95480i | −0.125997 | − | 0.0915420i | ||||
\(457\) | 1.77192 | + | 3.06906i | 0.0828870 | + | 0.143564i | 0.904489 | − | 0.426497i | \(-0.140253\pi\) |
−0.821602 | + | 0.570062i | \(0.806919\pi\) | |||||||
\(458\) | 10.8474 | − | 4.82956i | 0.506865 | − | 0.225671i | ||||
\(459\) | −15.9178 | − | 17.6785i | −0.742978 | − | 0.825161i | ||||
\(460\) | −5.03589 | − | 0.254977i | −0.234800 | − | 0.0118883i | ||||
\(461\) | 2.73673 | + | 8.42279i | 0.127462 | + | 0.392289i | 0.994342 | − | 0.106229i | \(-0.0338778\pi\) |
−0.866879 | + | 0.498518i | \(0.833878\pi\) | |||||||
\(462\) | −4.01195 | − | 2.74629i | −0.186653 | − | 0.127769i | ||||
\(463\) | 3.05258 | − | 9.39487i | 0.141865 | − | 0.436617i | −0.854729 | − | 0.519074i | \(-0.826277\pi\) |
0.996595 | + | 0.0824575i | \(0.0262769\pi\) | |||||||
\(464\) | 2.31359 | − | 2.56950i | 0.107406 | − | 0.119286i | ||||
\(465\) | −5.72768 | − | 2.90563i | −0.265615 | − | 0.134745i | ||||
\(466\) | −11.6634 | − | 12.9535i | −0.540295 | − | 0.600059i | ||||
\(467\) | −1.08452 | + | 10.3186i | −0.0501858 | + | 0.477486i | 0.940348 | + | 0.340215i | \(0.110500\pi\) |
−0.990534 | + | 0.137271i | \(0.956167\pi\) | |||||||
\(468\) | 9.37605 | 0.433408 | ||||||||
\(469\) | 13.4767 | − | 10.3812i | 0.622298 | − | 0.479359i | ||||
\(470\) | 10.3331 | − | 15.9735i | 0.476630 | − | 0.736800i | ||||
\(471\) | 2.83672 | + | 1.26299i | 0.130709 | + | 0.0581955i | ||||
\(472\) | −1.19811 | − | 11.3993i | −0.0551475 | − | 0.524693i | ||||
\(473\) | −28.0814 | − | 5.96888i | −1.29118 | − | 0.274449i | ||||
\(474\) | 1.05959 | + | 1.83526i | 0.0486684 | + | 0.0842961i | ||||
\(475\) | 21.6074 | + | 12.3732i | 0.991417 | + | 0.567722i | ||||
\(476\) | 11.7035 | + | 12.2868i | 0.536429 | + | 0.563163i | ||||
\(477\) | 10.8292 | + | 33.3288i | 0.495834 | + | 1.52602i | ||||
\(478\) | −24.0756 | − | 10.7192i | −1.10119 | − | 0.490283i | ||||
\(479\) | 1.27497 | + | 12.1306i | 0.0582550 | + | 0.554259i | 0.984257 | + | 0.176741i | \(0.0565557\pi\) |
−0.926002 | + | 0.377518i | \(0.876778\pi\) | |||||||
\(480\) | −1.47451 | + | 0.236218i | −0.0673020 | + | 0.0107818i | ||||
\(481\) | −4.48378 | + | 42.6603i | −0.204443 | + | 1.94514i | ||||
\(482\) | 11.7419 | 0.534829 | ||||||||
\(483\) | −3.68395 | − | 1.51787i | −0.167626 | − | 0.0690654i | ||||
\(484\) | −1.05948 | + | 3.26076i | −0.0481584 | + | 0.148216i | ||||
\(485\) | −0.0313158 | + | 0.0820143i | −0.00142198 | + | 0.00372408i | ||||
\(486\) | −14.2712 | − | 3.03344i | −0.647356 | − | 0.137600i | ||||
\(487\) | 15.1744 | + | 16.8529i | 0.687618 | + | 0.763677i | 0.981354 | − | 0.192210i | \(-0.0615654\pi\) |
−0.293736 | + | 0.955887i | \(0.594899\pi\) | |||||||
\(488\) | 10.7893 | − | 2.29334i | 0.488409 | − | 0.103814i | ||||
\(489\) | −2.00361 | − | 6.16648i | −0.0906064 | − | 0.278858i | ||||
\(490\) | −4.91891 | − | 14.8595i | −0.222214 | − | 0.671283i | ||||
\(491\) | 4.19772 | − | 12.9192i | 0.189440 | − | 0.583037i | −0.810556 | − | 0.585661i | \(-0.800835\pi\) |
0.999997 | + | 0.00262344i | \(0.000835069\pi\) | |||||||
\(492\) | 0.196418 | − | 1.86879i | 0.00885519 | − | 0.0842515i | ||||
\(493\) | 11.0878 | − | 19.2046i | 0.499368 | − | 0.864931i | ||||
\(494\) | 16.7012 | − | 7.43583i | 0.751421 | − | 0.334554i | ||||
\(495\) | −13.1640 | + | 8.58196i | −0.591676 | + | 0.385730i | ||||
\(496\) | −3.47947 | + | 2.52798i | −0.156233 | + | 0.113510i | ||||
\(497\) | −7.02978 | + | 8.26209i | −0.315329 | + | 0.370605i | ||||
\(498\) | −0.570294 | − | 1.75518i | −0.0255555 | − | 0.0786516i | ||||
\(499\) | 21.1610 | + | 36.6518i | 0.947294 | + | 1.64076i | 0.751091 | + | 0.660199i | \(0.229528\pi\) |
0.196204 | + | 0.980563i | \(0.437139\pi\) | |||||||
\(500\) | 10.7839 | − | 2.95103i | 0.482268 | − | 0.131974i | ||||
\(501\) | 4.22945 | − | 7.32563i | 0.188958 | − | 0.327285i | ||||
\(502\) | −6.24230 | + | 6.93278i | −0.278608 | + | 0.309425i | ||||
\(503\) | 8.40870 | − | 6.10928i | 0.374925 | − | 0.272399i | −0.384325 | − | 0.923198i | \(-0.625566\pi\) |
0.759250 | + | 0.650799i | \(0.225566\pi\) | |||||||
\(504\) | 6.64640 | + | 1.21897i | 0.296054 | + | 0.0542973i | ||||
\(505\) | 1.26095 | + | 23.2716i | 0.0561114 | + | 1.03557i | ||||
\(506\) | 0.648591 | − | 6.17093i | 0.0288334 | − | 0.274331i | ||||
\(507\) | 0.159314 | − | 0.275940i | 0.00707539 | − | 0.0122549i | ||||
\(508\) | −3.41879 | + | 1.52215i | −0.151684 | + | 0.0675343i | ||||
\(509\) | −4.77028 | + | 1.01395i | −0.211439 | + | 0.0449427i | −0.312413 | − | 0.949946i | \(-0.601137\pi\) |
0.100974 | + | 0.994889i | \(0.467804\pi\) | |||||||
\(510\) | −8.93524 | + | 3.44809i | −0.395659 | + | 0.152684i | ||||
\(511\) | −21.3545 | + | 0.599195i | −0.944666 | + | 0.0265068i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −18.0674 | + | 3.84034i | −0.797693 | + | 0.169555i | ||||
\(514\) | −4.87962 | − | 1.03719i | −0.215231 | − | 0.0457487i | ||||
\(515\) | 13.8868 | − | 2.22467i | 0.611924 | − | 0.0980306i | ||||
\(516\) | −6.81546 | + | 1.44867i | −0.300034 | + | 0.0637742i | ||||
\(517\) | 18.9396 | + | 13.7604i | 0.832962 | + | 0.605182i | ||||
\(518\) | −8.72464 | + | 29.6577i | −0.383339 | + | 1.30308i | ||||
\(519\) | 8.67440 | + | 6.30232i | 0.380764 | + | 0.276641i | ||||
\(520\) | 2.92822 | − | 7.66884i | 0.128411 | − | 0.336301i | ||||
\(521\) | −3.93276 | − | 37.4177i | −0.172297 | − | 1.63930i | −0.649398 | − | 0.760449i | \(-0.724979\pi\) |
0.477100 | − | 0.878849i | \(-0.341688\pi\) | |||||||
\(522\) | −0.923063 | − | 8.78235i | −0.0404014 | − | 0.384393i | ||||
\(523\) | −1.80686 | + | 2.00672i | −0.0790085 | + | 0.0877479i | −0.781353 | − | 0.624090i | \(-0.785470\pi\) |
0.702344 | + | 0.711837i | \(0.252137\pi\) | |||||||
\(524\) | 8.43769 | 0.368602 | ||||||||
\(525\) | 8.81096 | + | 0.645454i | 0.384542 | + | 0.0281699i | ||||
\(526\) | −8.26965 | −0.360574 | ||||||||
\(527\) | −18.4572 | + | 20.4988i | −0.804007 | + | 0.892940i | ||||
\(528\) | −0.192083 | − | 1.82755i | −0.00835936 | − | 0.0795340i | ||||
\(529\) | 1.87262 | + | 17.8168i | 0.0814184 | + | 0.774644i | ||||
\(530\) | 30.6423 | + | 1.55148i | 1.33102 | + | 0.0673918i | ||||
\(531\) | −23.6832 | − | 17.2069i | −1.02776 | − | 0.746715i | ||||
\(532\) | 12.8057 | − | 3.09974i | 0.555196 | − | 0.134391i | ||||
\(533\) | 8.35671 | + | 6.07151i | 0.361969 | + | 0.262986i | ||||
\(534\) | −7.13326 | + | 1.51622i | −0.308687 | + | 0.0656133i | ||||
\(535\) | 15.9751 | + | 8.10410i | 0.690663 | + | 0.350371i | ||||
\(536\) | 6.28924 | + | 1.33682i | 0.271654 | + | 0.0577418i | ||||
\(537\) | 4.77532 | − | 1.01503i | 0.206070 | − | 0.0438016i | ||||
\(538\) | 0.116245 | − | 0.357765i | 0.00501167 | − | 0.0154243i | ||||
\(539\) | 18.5863 | − | 5.05484i | 0.800567 | − | 0.217727i | ||||
\(540\) | −4.50484 | + | 6.96382i | −0.193857 | + | 0.299675i | ||||
\(541\) | −10.0905 | + | 2.14480i | −0.433823 | + | 0.0922119i | −0.419647 | − | 0.907688i | \(-0.637846\pi\) |
−0.0141765 | + | 0.999900i | \(0.504513\pi\) | |||||||
\(542\) | 10.3897 | − | 4.62578i | 0.446274 | − | 0.198694i | ||||
\(543\) | −3.73340 | + | 6.46644i | −0.160216 | + | 0.277502i | ||||
\(544\) | −0.670400 | + | 6.37843i | −0.0287431 | + | 0.273473i | ||||
\(545\) | 7.37067 | + | 1.96098i | 0.315725 | + | 0.0839992i | ||||
\(546\) | 4.20343 | − | 4.94029i | 0.179890 | − | 0.211425i | ||||
\(547\) | −28.7376 | + | 20.8791i | −1.22873 | + | 0.892724i | −0.996794 | − | 0.0800074i | \(-0.974506\pi\) |
−0.231935 | + | 0.972731i | \(0.574506\pi\) | |||||||
\(548\) | −5.04709 | + | 5.60536i | −0.215601 | + | 0.239449i | ||||
\(549\) | 14.0858 | − | 24.3972i | 0.601165 | − | 1.04125i | ||||
\(550\) | 2.90813 | + | 13.4473i | 0.124003 | + | 0.573393i | ||||
\(551\) | −8.60921 | − | 14.9116i | −0.366765 | − | 0.635255i | ||||
\(552\) | −0.465367 | − | 1.43225i | −0.0198073 | − | 0.0609607i | ||||
\(553\) | −8.25781 | − | 1.51451i | −0.351158 | − | 0.0644035i | ||||
\(554\) | −12.8073 | + | 9.30508i | −0.544132 | + | 0.395335i | ||||
\(555\) | −13.5796 | − | 10.9568i | −0.576421 | − | 0.465089i | ||||
\(556\) | 9.88712 | − | 4.40203i | 0.419307 | − | 0.186688i | ||||
\(557\) | −2.46140 | + | 4.26328i | −0.104293 | + | 0.180641i | −0.913449 | − | 0.406953i | \(-0.866591\pi\) |
0.809156 | + | 0.587594i | \(0.199925\pi\) | |||||||
\(558\) | −1.14818 | + | 10.9242i | −0.0486065 | + | 0.462460i | ||||
\(559\) | 11.8360 | − | 36.4275i | 0.500610 | − | 1.54072i | ||||
\(560\) | 3.07274 | − | 5.05552i | 0.129847 | − | 0.213635i | ||||
\(561\) | −3.64197 | − | 11.2088i | −0.153764 | − | 0.473238i | ||||
\(562\) | 10.3359 | − | 2.19696i | 0.435993 | − | 0.0926731i | ||||
\(563\) | 4.75626 | + | 5.28236i | 0.200453 | + | 0.222625i | 0.834987 | − | 0.550269i | \(-0.185475\pi\) |
−0.634535 | + | 0.772894i | \(0.718808\pi\) | |||||||
\(564\) | 5.55769 | + | 1.18132i | 0.234021 | + | 0.0497427i | ||||
\(565\) | 11.2953 | + | 41.8580i | 0.475198 | + | 1.76098i | ||||
\(566\) | −10.1069 | + | 31.1058i | −0.424823 | + | 1.30747i | ||||
\(567\) | 10.8676 | − | 8.37138i | 0.456397 | − | 0.351565i | ||||
\(568\) | −4.10017 | −0.172039 | ||||||||
\(569\) | 0.495241 | − | 4.71190i | 0.0207616 | − | 0.197533i | −0.979225 | − | 0.202778i | \(-0.935003\pi\) |
0.999986 | + | 0.00524515i | \(0.00166959\pi\) | |||||||
\(570\) | −1.15032 | + | 7.34700i | −0.0481814 | + | 0.307732i | ||||
\(571\) | 0.397436 | + | 3.78135i | 0.0166322 | + | 0.158245i | 0.999686 | − | 0.0250748i | \(-0.00798239\pi\) |
−0.983053 | + | 0.183319i | \(0.941316\pi\) | |||||||
\(572\) | 9.22821 | + | 4.10867i | 0.385851 | + | 0.171792i | ||||
\(573\) | 2.34388 | + | 7.21373i | 0.0979171 | + | 0.301358i | ||||
\(574\) | 5.13447 | + | 5.39036i | 0.214309 | + | 0.224989i | ||||
\(575\) | 4.62242 | + | 10.2839i | 0.192768 | + | 0.428870i | ||||
\(576\) | 1.27700 | + | 2.21183i | 0.0532084 | + | 0.0921596i | ||||
\(577\) | 12.6412 | + | 2.68697i | 0.526260 | + | 0.111860i | 0.463378 | − | 0.886161i | \(-0.346637\pi\) |
0.0628824 | + | 0.998021i | \(0.479971\pi\) | |||||||
\(578\) | 2.52266 | + | 24.0015i | 0.104929 | + | 0.998332i | ||||
\(579\) | 8.41497 | + | 3.74658i | 0.349714 | + | 0.155703i | ||||
\(580\) | −7.47153 | − | 1.98781i | −0.310238 | − | 0.0825394i | ||||
\(581\) | 6.76005 | + | 2.78529i | 0.280454 | + | 0.115553i | ||||
\(582\) | −0.0262195 | −0.00108683 | ||||||||
\(583\) | −3.94653 | + | 37.5488i | −0.163449 | + | 1.55511i | ||||
\(584\) | −5.40283 | − | 6.00045i | −0.223571 | − | 0.248300i | ||||
\(585\) | −9.55120 | − | 18.6635i | −0.394893 | − | 0.771640i | ||||
\(586\) | 22.5965 | − | 25.0960i | 0.933453 | − | 1.03671i | ||||
\(587\) | 7.62241 | − | 23.4594i | 0.314611 | − | 0.968272i | −0.661304 | − | 0.750118i | \(-0.729997\pi\) |
0.975914 | − | 0.218154i | \(-0.0700034\pi\) | |||||||
\(588\) | 3.62197 | − | 2.95554i | 0.149368 | − | 0.121884i | ||||
\(589\) | 6.61844 | + | 20.3695i | 0.272708 | + | 0.839309i | ||||
\(590\) | −21.4703 | + | 13.9971i | −0.883918 | + | 0.576251i | ||||
\(591\) | 5.36505 | + | 5.95849i | 0.220689 | + | 0.245099i | ||||
\(592\) | −10.6743 | + | 4.75252i | −0.438713 | + | 0.195328i | ||||
\(593\) | −6.05646 | − | 10.4901i | −0.248709 | − | 0.430776i | 0.714459 | − | 0.699677i | \(-0.246673\pi\) |
−0.963168 | + | 0.268901i | \(0.913340\pi\) | |||||||
\(594\) | −8.25694 | − | 5.99902i | −0.338786 | − | 0.246143i | ||||
\(595\) | 12.5353 | − | 35.8127i | 0.513896 | − | 1.46818i | ||||
\(596\) | 3.60215 | − | 2.61711i | 0.147550 | − | 0.107201i | ||||
\(597\) | 2.18899 | + | 0.974599i | 0.0895892 | + | 0.0398877i | ||||
\(598\) | 8.09748 | + | 1.72117i | 0.331131 | + | 0.0703840i | ||||
\(599\) | 0.711641 | − | 1.23260i | 0.0290769 | − | 0.0503626i | −0.851121 | − | 0.524970i | \(-0.824077\pi\) |
0.880198 | + | 0.474607i | \(0.157410\pi\) | |||||||
\(600\) | 1.97226 | + | 2.69446i | 0.0805172 | + | 0.110001i | ||||
\(601\) | −4.45408 | −0.181686 | −0.0908429 | − | 0.995865i | \(-0.528956\pi\) | ||||
−0.0908429 | + | 0.995865i | \(0.528956\pi\) | |||||||
\(602\) | 13.1261 | − | 24.2836i | 0.534980 | − | 0.989725i | ||||
\(603\) | 13.2854 | − | 9.65237i | 0.541021 | − | 0.393075i | ||||
\(604\) | 3.84753 | + | 1.71303i | 0.156554 | + | 0.0697023i | ||||
\(605\) | 7.56998 | − | 1.21271i | 0.307763 | − | 0.0493039i | ||||
\(606\) | −6.35878 | + | 2.83111i | −0.258308 | + | 0.115006i | ||||
\(607\) | 4.06676 | + | 7.04383i | 0.165065 | + | 0.285900i | 0.936678 | − | 0.350191i | \(-0.113883\pi\) |
−0.771614 | + | 0.636092i | \(0.780550\pi\) | |||||||
\(608\) | 4.02880 | + | 2.92709i | 0.163389 | + | 0.118709i | ||||
\(609\) | −5.04129 | − | 3.45091i | −0.204283 | − | 0.139838i | ||||
\(610\) | −15.5559 | − | 19.1405i | −0.629838 | − | 0.774975i | ||||
\(611\) | −20.8994 | + | 23.2111i | −0.845498 | + | 0.939020i | ||||
\(612\) | 10.9605 | + | 12.1729i | 0.443053 | + | 0.492060i | ||||
\(613\) | −23.2974 | − | 25.8744i | −0.940972 | − | 1.04506i | −0.998907 | − | 0.0467350i | \(-0.985118\pi\) |
0.0579353 | − | 0.998320i | \(-0.481548\pi\) | |||||||
\(614\) | −1.07878 | + | 1.19810i | −0.0435359 | + | 0.0483515i | ||||
\(615\) | −3.92000 | + | 1.51272i | −0.158070 | + | 0.0609987i | ||||
\(616\) | 6.00744 | + | 4.11226i | 0.242047 | + | 0.165688i | ||||
\(617\) | −23.2017 | − | 16.8570i | −0.934066 | − | 0.678639i | 0.0129191 | − | 0.999917i | \(-0.495888\pi\) |
−0.946985 | + | 0.321278i | \(0.895888\pi\) | |||||||
\(618\) | 2.10017 | + | 3.63760i | 0.0844813 | + | 0.146326i | ||||
\(619\) | −2.37825 | + | 1.05887i | −0.0955900 | + | 0.0425594i | −0.453975 | − | 0.891015i | \(-0.649994\pi\) |
0.358385 | + | 0.933574i | \(0.383328\pi\) | |||||||
\(620\) | 8.57654 | + | 4.35085i | 0.344442 | + | 0.174734i | ||||
\(621\) | −7.64099 | − | 3.40199i | −0.306622 | − | 0.136517i | ||||
\(622\) | −9.42042 | + | 6.84434i | −0.377724 | + | 0.274433i | ||||
\(623\) | 13.7382 | − | 25.4159i | 0.550408 | − | 1.01827i | ||||
\(624\) | 2.45168 | 0.0981459 | ||||||||
\(625\) | −16.8595 | − | 18.4596i | −0.674379 | − | 0.738386i | ||||
\(626\) | 2.66306 | − | 4.61256i | 0.106437 | − | 0.184355i | ||||
\(627\) | −8.95113 | − | 1.90262i | −0.357474 | − | 0.0759834i | ||||
\(628\) | −4.24767 | − | 1.89118i | −0.169500 | − | 0.0754665i | ||||
\(629\) | −60.6272 | + | 44.0483i | −2.41737 | + | 1.75632i | ||||
\(630\) | −4.34414 | − | 14.4717i | −0.173075 | − | 0.576568i | ||||
\(631\) | −30.1637 | − | 21.9152i | −1.20080 | − | 0.872431i | −0.206435 | − | 0.978460i | \(-0.566186\pi\) |
−0.994363 | + | 0.106030i | \(0.966186\pi\) | |||||||
\(632\) | −1.58661 | − | 2.74809i | −0.0631119 | − | 0.109313i | ||||
\(633\) | 3.07483 | − | 1.36900i | 0.122214 | − | 0.0544130i | ||||
\(634\) | −2.01143 | − | 2.23392i | −0.0798843 | − | 0.0887205i | ||||
\(635\) | 6.51257 | + | 5.25470i | 0.258443 | + | 0.208526i | ||||
\(636\) | 2.83166 | + | 8.71494i | 0.112282 | + | 0.345570i | ||||
\(637\) | 4.11503 | + | 25.3662i | 0.163044 | + | 1.00505i | ||||
\(638\) | 2.94000 | − | 9.04838i | 0.116396 | − | 0.358229i | ||||
\(639\) | −7.00704 | + | 7.78210i | −0.277194 | + | 0.307855i | ||||
\(640\) | 2.20792 | − | 0.353709i | 0.0872755 | − | 0.0139816i | ||||
\(641\) | 10.9821 | + | 12.1969i | 0.433767 | + | 0.481747i | 0.919909 | − | 0.392133i | \(-0.128263\pi\) |
−0.486141 | + | 0.873880i | \(0.661596\pi\) | |||||||
\(642\) | −0.559226 | + | 5.32068i | −0.0220709 | + | 0.209990i | ||||
\(643\) | −13.4821 | −0.531684 | −0.265842 | − | 0.964017i | \(-0.585650\pi\) | ||||
−0.265842 | + | 0.964017i | \(0.585650\pi\) | |||||||
\(644\) | 5.51630 | + | 2.27283i | 0.217372 | + | 0.0895622i | ||||
\(645\) | 9.82644 | + | 12.0908i | 0.386916 | + | 0.476074i | ||||
\(646\) | 29.1774 | + | 12.9906i | 1.14797 | + | 0.511110i | ||||
\(647\) | −1.49112 | − | 14.1871i | −0.0586220 | − | 0.557751i | −0.983932 | − | 0.178541i | \(-0.942862\pi\) |
0.925310 | − | 0.379210i | \(-0.123804\pi\) | |||||||
\(648\) | 5.07163 | + | 1.07801i | 0.199233 | + | 0.0423482i | ||||
\(649\) | −15.7696 | − | 27.3138i | −0.619012 | − | 1.07216i | ||||
\(650\) | −18.2481 | + | 1.98334i | −0.715750 | + | 0.0777929i | ||||
\(651\) | 5.24129 | + | 5.50249i | 0.205422 | + | 0.215660i | ||||
\(652\) | 3.00018 | + | 9.23360i | 0.117496 | + | 0.361616i | ||||
\(653\) | 6.13974 | + | 2.73359i | 0.240267 | + | 0.106974i | 0.523338 | − | 0.852125i | \(-0.324687\pi\) |
−0.283071 | + | 0.959099i | \(0.591353\pi\) | |||||||
\(654\) | 0.238108 | + | 2.26545i | 0.00931075 | + | 0.0885859i | ||||
\(655\) | −8.59531 | − | 16.7956i | −0.335847 | − | 0.656260i | ||||
\(656\) | −0.294113 | + | 2.79830i | −0.0114832 | + | 0.109255i | ||||
\(657\) | −20.6221 | −0.804543 | ||||||||
\(658\) | −17.8326 | + | 13.7365i | −0.695187 | + | 0.535506i | ||||
\(659\) | −6.18157 | + | 19.0249i | −0.240800 | + | 0.741105i | 0.755499 | + | 0.655150i | \(0.227394\pi\) |
−0.996299 | + | 0.0859558i | \(0.972606\pi\) | |||||||
\(660\) | −3.44216 | + | 2.24404i | −0.133986 | + | 0.0873493i | ||||
\(661\) | 0.785214 | + | 0.166902i | 0.0305413 | + | 0.00649175i | 0.223157 | − | 0.974783i | \(-0.428364\pi\) |
−0.192616 | + | 0.981274i | \(0.561697\pi\) | |||||||
\(662\) | −20.2467 | − | 22.4862i | −0.786909 | − | 0.873951i | ||||
\(663\) | 15.3804 | − | 3.26921i | 0.597326 | − | 0.126966i | ||||
\(664\) | 0.853950 | + | 2.62819i | 0.0331397 | + | 0.101993i | ||||
\(665\) | −19.2151 | − | 22.3327i | −0.745129 | − | 0.866025i | ||||
\(666\) | −9.22178 | + | 28.3817i | −0.357337 | + | 1.09977i | ||||
\(667\) | 0.814999 | − | 7.75420i | 0.0315569 | − | 0.300244i | ||||
\(668\) | −6.33313 | + | 10.9693i | −0.245036 | + | 0.424415i | ||||
\(669\) | −3.22622 | + | 1.43641i | −0.124733 | + | 0.0555346i | ||||
\(670\) | −3.74573 | − | 13.8808i | −0.144710 | − | 0.536264i | ||||
\(671\) | 24.5548 | − | 17.8401i | 0.947926 | − | 0.688708i | ||||
\(672\) | 1.73793 | + | 0.318741i | 0.0670419 | + | 0.0122957i | ||||
\(673\) | −13.9006 | − | 42.7815i | −0.535827 | − | 1.64911i | −0.741854 | − | 0.670561i | \(-0.766053\pi\) |
0.206027 | − | 0.978546i | \(-0.433947\pi\) | |||||||
\(674\) | 0.736567 | + | 1.27577i | 0.0283715 | + | 0.0491409i | ||||
\(675\) | 18.4508 | + | 1.87320i | 0.710172 | + | 0.0720995i | ||||
\(676\) | −0.238555 | + | 0.413189i | −0.00917519 | + | 0.0158919i | ||||
\(677\) | −17.6120 | + | 19.5601i | −0.676883 | + | 0.751755i | −0.979519 | − | 0.201351i | \(-0.935467\pi\) |
0.302636 | + | 0.953106i | \(0.402133\pi\) | |||||||
\(678\) | −10.4756 | + | 7.61100i | −0.402314 | + | 0.292299i | ||||
\(679\) | 0.0673129 | − | 0.0791127i | 0.00258323 | − | 0.00303607i | ||||
\(680\) | 13.3795 | − | 5.16312i | 0.513080 | − | 0.197996i | ||||
\(681\) | 1.50180 | − | 14.2887i | 0.0575492 | − | 0.547544i | ||||
\(682\) | −5.91717 | + | 10.2488i | −0.226580 | + | 0.392449i | ||||
\(683\) | 42.9229 | − | 19.1105i | 1.64240 | − | 0.731244i | 0.643000 | − | 0.765866i | \(-0.277689\pi\) |
0.999400 | + | 0.0346221i | \(0.0110228\pi\) | |||||||
\(684\) | 12.4407 | − | 2.64435i | 0.475681 | − | 0.101109i | ||||
\(685\) | 16.2991 | + | 4.33641i | 0.622758 | + | 0.165686i | ||||
\(686\) | −0.380814 | + | 18.5163i | −0.0145395 | + | 0.706957i | ||||
\(687\) | 2.45043 | − | 7.54166i | 0.0934899 | − | 0.287732i | ||||
\(688\) | 10.2054 | − | 2.16922i | 0.389077 | − | 0.0827008i | ||||
\(689\) | −49.2714 | − | 10.4730i | −1.87709 | − | 0.398988i | ||||
\(690\) | −2.37691 | + | 2.38535i | −0.0904874 | + | 0.0908086i | ||||
\(691\) | 34.0064 | − | 7.22829i | 1.29367 | − | 0.274977i | 0.490871 | − | 0.871232i | \(-0.336679\pi\) |
0.802795 | + | 0.596255i | \(0.203345\pi\) | |||||||
\(692\) | −12.9889 | − | 9.43701i | −0.493765 | − | 0.358741i | ||||
\(693\) | 18.0715 | − | 4.37439i | 0.686481 | − | 0.166169i | ||||
\(694\) | 27.2822 | + | 19.8217i | 1.03562 | + | 0.752421i | ||||
\(695\) | −18.8343 | − | 15.1966i | −0.714425 | − | 0.576438i | ||||
\(696\) | −0.241366 | − | 2.29644i | −0.00914895 | − | 0.0870465i | ||||
\(697\) | 1.88631 | + | 17.9470i | 0.0714491 | + | 0.679793i | ||||
\(698\) | −14.2144 | + | 15.7867i | −0.538023 | + | 0.597535i | ||||
\(699\) | −11.6407 | −0.440292 | ||||||||
\(700\) | −13.1934 | − | 0.966494i | −0.498664 | − | 0.0365300i | ||||
\(701\) | 3.09368 | 0.116847 | 0.0584234 | − | 0.998292i | \(-0.481393\pi\) | ||||
0.0584234 | + | 0.998292i | \(0.481393\pi\) | |||||||
\(702\) | 9.11133 | − | 10.1192i | 0.343885 | − | 0.381923i | ||||
\(703\) | 6.08224 | + | 57.8687i | 0.229396 | + | 2.18256i | ||||
\(704\) | 0.287623 | + | 2.73655i | 0.0108402 | + | 0.103138i | ||||
\(705\) | −3.31003 | − | 12.2663i | −0.124663 | − | 0.461974i | ||||
\(706\) | −0.823210 | − | 0.598097i | −0.0309819 | − | 0.0225097i | ||||
\(707\) | 7.78240 | − | 26.4547i | 0.292687 | − | 0.994932i | ||||
\(708\) | −6.19278 | − | 4.49932i | −0.232739 | − | 0.169095i | ||||
\(709\) | 5.98754 | − | 1.27269i | 0.224867 | − | 0.0477969i | −0.0941003 | − | 0.995563i | \(-0.529997\pi\) |
0.318967 | + | 0.947766i | \(0.396664\pi\) | |||||||
\(710\) | 4.17677 | + | 8.16160i | 0.156751 | + | 0.306299i | ||||
\(711\) | −7.92731 | − | 1.68500i | −0.297297 | − | 0.0631925i | ||||
\(712\) | 10.6813 | − | 2.27037i | 0.400297 | − | 0.0850857i | ||||
\(713\) | −2.99699 | + | 9.22378i | −0.112238 | + | 0.345433i | ||||
\(714\) | 11.3277 | − | 0.317850i | 0.423930 | − | 0.0118953i | ||||
\(715\) | −1.22210 | − | 22.5546i | −0.0457040 | − | 0.843496i | ||||
\(716\) | −7.15049 | + | 1.51988i | −0.267227 | + | 0.0568008i | ||||
\(717\) | −16.0784 | + | 7.15858i | −0.600460 | + | 0.267342i | ||||
\(718\) | −9.50837 | + | 16.4690i | −0.354849 | + | 0.614617i | ||||
\(719\) | −1.47103 | + | 13.9959i | −0.0548601 | + | 0.521959i | 0.932238 | + | 0.361845i | \(0.117853\pi\) |
−0.987098 | + | 0.160114i | \(0.948814\pi\) | |||||||
\(720\) | 3.10190 | − | 4.79508i | 0.115601 | − | 0.178702i | ||||
\(721\) | −16.3675 | − | 3.00186i | −0.609559 | − | 0.111795i | ||||
\(722\) | 4.69157 | − | 3.40863i | 0.174602 | − | 0.126856i | ||||
\(723\) | 5.24706 | − | 5.82745i | 0.195140 | − | 0.216725i | ||||
\(724\) | 5.59034 | − | 9.68276i | 0.207764 | − | 0.359857i | ||||
\(725\) | 3.65426 | + | 16.8974i | 0.135716 | + | 0.627554i | ||||
\(726\) | 1.14485 | + | 1.98294i | 0.0424893 | + | 0.0735937i | ||||
\(727\) | −10.3745 | − | 31.9293i | −0.384768 | − | 1.18419i | −0.936648 | − | 0.350271i | \(-0.886090\pi\) |
0.551881 | − | 0.833923i | \(-0.313910\pi\) | |||||||
\(728\) | −6.29416 | + | 7.39752i | −0.233277 | + | 0.274170i | ||||
\(729\) | 4.70130 | − | 3.41570i | 0.174122 | − | 0.126507i | ||||
\(730\) | −6.44044 | + | 16.8672i | −0.238371 | + | 0.624281i | ||||
\(731\) | 61.1300 | − | 27.2168i | 2.26097 | − | 1.00665i | ||||
\(732\) | 3.68320 | − | 6.37949i | 0.136135 | − | 0.235793i | ||||
\(733\) | −1.84549 | + | 17.5587i | −0.0681649 | + | 0.648545i | 0.906088 | + | 0.423089i | \(0.139054\pi\) |
−0.974253 | + | 0.225457i | \(0.927613\pi\) | |||||||
\(734\) | 9.88546 | − | 30.4243i | 0.364879 | − | 1.12298i | ||||
\(735\) | −9.57278 | − | 4.19896i | −0.353097 | − | 0.154881i | ||||
\(736\) | 0.696834 | + | 2.14464i | 0.0256857 | + | 0.0790523i | ||||
\(737\) | 17.3056 | − | 3.67843i | 0.637461 | − | 0.135497i | ||||
\(738\) | 4.80852 | + | 5.34041i | 0.177004 | + | 0.196583i | ||||
\(739\) | −45.4005 | − | 9.65017i | −1.67008 | − | 0.354987i | −0.726768 | − | 0.686883i | \(-0.758979\pi\) |
−0.943316 | + | 0.331896i | \(0.892312\pi\) | |||||||
\(740\) | 20.3339 | + | 16.4065i | 0.747489 | + | 0.603115i | ||||
\(741\) | 3.77281 | − | 11.6115i | 0.138598 | − | 0.426560i | ||||
\(742\) | −33.5654 | − | 13.8297i | −1.23223 | − | 0.507704i | ||||
\(743\) | −0.0187817 | −0.000689035 | −0.000344517 | − | 1.00000i | \(-0.500110\pi\) | ||||
−0.000344517 | 1.00000i | \(0.500110\pi\) | ||||||||
\(744\) | −0.300231 | + | 2.85651i | −0.0110070 | + | 0.104725i | ||||
\(745\) | −8.87893 | − | 4.50425i | −0.325299 | − | 0.165023i | ||||
\(746\) | −0.248046 | − | 2.36000i | −0.00908163 | − | 0.0864059i | ||||
\(747\) | 6.44765 | + | 2.87068i | 0.235907 | + | 0.105033i | ||||
\(748\) | 5.45344 | + | 16.7840i | 0.199398 | + | 0.613683i | ||||
\(749\) | −14.6185 | − | 15.3470i | −0.534148 | − | 0.560768i | ||||
\(750\) | 3.35435 | − | 6.67068i | 0.122484 | − | 0.243579i | ||||
\(751\) | 9.61838 | + | 16.6595i | 0.350980 | + | 0.607915i | 0.986421 | − | 0.164234i | \(-0.0525152\pi\) |
−0.635442 | + | 0.772149i | \(0.719182\pi\) | |||||||
\(752\) | −8.32201 | − | 1.76890i | −0.303472 | − | 0.0645051i | ||||
\(753\) | 0.651230 | + | 6.19604i | 0.0237322 | + | 0.225796i | ||||
\(754\) | 11.5959 | + | 5.16282i | 0.422297 | + | 0.188019i | ||||
\(755\) | −0.509532 | − | 9.40374i | −0.0185438 | − | 0.342237i | ||||
\(756\) | 7.77433 | − | 5.98861i | 0.282750 | − | 0.217804i | ||||
\(757\) | 11.6393 | 0.423037 | 0.211518 | − | 0.977374i | \(-0.432159\pi\) | ||||
0.211518 | + | 0.977374i | \(0.432159\pi\) | |||||||
\(758\) | 3.38871 | − | 32.2415i | 0.123084 | − | 1.17106i | ||||
\(759\) | −2.77277 | − | 3.07947i | −0.100645 | − | 0.111778i | ||||
\(760\) | 1.72247 | − | 11.0013i | 0.0624804 | − | 0.399059i | ||||
\(761\) | 7.25163 | − | 8.05375i | 0.262871 | − | 0.291948i | −0.597232 | − | 0.802069i | \(-0.703733\pi\) |
0.860103 | + | 0.510121i | \(0.170399\pi\) | |||||||
\(762\) | −0.772309 | + | 2.37692i | −0.0279778 | + | 0.0861069i | ||||
\(763\) | −7.44686 | − | 5.09759i | −0.269595 | − | 0.184545i | ||||
\(764\) | −3.50970 | − | 10.8017i | −0.126976 | − | 0.390793i | ||||
\(765\) | 13.0655 | − | 34.2178i | 0.472383 | − | 1.23715i | ||||
\(766\) | 12.1088 | + | 13.4482i | 0.437509 | + | 0.485903i | ||||
\(767\) | 38.4406 | − | 17.1149i | 1.38801 | − | 0.617982i | ||||
\(768\) | 0.333915 | + | 0.578358i | 0.0120491 | + | 0.0208697i | ||||
\(769\) | −8.47977 | − | 6.16092i | −0.305788 | − | 0.222168i | 0.424299 | − | 0.905522i | \(-0.360521\pi\) |
−0.730087 | + | 0.683354i | \(0.760521\pi\) | |||||||
\(770\) | 2.06600 | − | 16.1472i | 0.0744534 | − | 0.581905i | ||||
\(771\) | −2.69529 | + | 1.95824i | −0.0970685 | + | 0.0705244i | ||||
\(772\) | −12.6005 | − | 5.61008i | −0.453500 | − | 0.201911i | ||||
\(773\) | 0.878084 | + | 0.186642i | 0.0315825 | + | 0.00671306i | 0.223676 | − | 0.974664i | \(-0.428194\pi\) |
−0.192093 | + | 0.981377i | \(0.561528\pi\) | |||||||
\(774\) | 13.3234 | − | 23.0769i | 0.478901 | − | 0.829481i | ||||
\(775\) | −0.0761769 | − | 21.5042i | −0.00273635 | − | 0.772452i | ||||
\(776\) | 0.0392607 | 0.00140938 | ||||||||
\(777\) | 10.8202 | + | 17.5830i | 0.388173 | + | 0.630786i | ||||
\(778\) | −10.8362 | + | 7.87294i | −0.388495 | + | 0.282258i | ||||
\(779\) | 12.8005 | + | 5.69916i | 0.458626 | + | 0.204194i | ||||
\(780\) | −2.49748 | − | 4.88020i | −0.0894243 | − | 0.174739i | ||||
\(781\) | −10.3067 | + | 4.58886i | −0.368804 | + | 0.164202i | ||||
\(782\) | 7.23130 | + | 12.5250i | 0.258591 | + | 0.447892i | ||||
\(783\) | −10.3754 | − | 7.53818i | −0.370787 | − | 0.269392i | ||||
\(784\) | −5.42349 | + | 4.42558i | −0.193696 | + | 0.158056i | ||||
\(785\) | 0.562523 | + | 10.3817i | 0.0200773 | + | 0.370539i | ||||
\(786\) | 3.77051 | − | 4.18758i | 0.134490 | − | 0.149366i | ||||
\(787\) | 25.8334 | + | 28.6909i | 0.920862 | + | 1.02272i | 0.999666 | + | 0.0258305i | \(0.00822301\pi\) |
−0.0788046 | + | 0.996890i | \(0.525110\pi\) | |||||||
\(788\) | −8.03355 | − | 8.92216i | −0.286183 | − | 0.317839i | ||||
\(789\) | −3.69542 | + | 4.10418i | −0.131561 | + | 0.146113i | ||||
\(790\) | −3.85396 | + | 5.95765i | −0.137118 | + | 0.211964i | ||||
\(791\) | 3.92909 | − | 51.1479i | 0.139702 | − | 1.81861i | ||||
\(792\) | 5.68549 | + | 4.13075i | 0.202025 | + | 0.146780i | ||||
\(793\) | 20.2468 | + | 35.0686i | 0.718986 | + | 1.24532i | ||||
\(794\) | −7.20849 | + | 3.20943i | −0.255820 | + | 0.113898i | ||||
\(795\) | 14.4630 | − | 14.5143i | 0.512949 | − | 0.514769i | ||||
\(796\) | −3.27776 | − | 1.45935i | −0.116177 | − | 0.0517253i | ||||
\(797\) | −5.16533 | + | 3.75283i | −0.182965 | + | 0.132932i | −0.675498 | − | 0.737362i | \(-0.736071\pi\) |
0.492533 | + | 0.870294i | \(0.336071\pi\) | |||||||
\(798\) | 4.18403 | − | 7.74056i | 0.148113 | − | 0.274013i | ||||
\(799\) | −54.5661 | −1.93041 | ||||||||
\(800\) | −2.95324 | − | 4.03465i | −0.104413 | − | 0.142646i | ||||
\(801\) | 13.9447 | − | 24.1529i | 0.492712 | − | 0.853402i | ||||
\(802\) | 7.80143 | + | 1.65824i | 0.275478 | + | 0.0585547i | ||||
\(803\) | −20.2969 | − | 9.03677i | −0.716262 | − | 0.318901i | ||||
\(804\) | 3.47390 | − | 2.52394i | 0.122515 | − | 0.0890125i | ||||
\(805\) | −1.09515 | − | 13.2958i | −0.0385991 | − | 0.468614i | ||||
\(806\) | −12.7735 | − | 9.28052i | −0.449929 | − | 0.326892i | ||||
\(807\) | −0.125611 | − | 0.217564i | −0.00442171 | − | 0.00765863i | ||||
\(808\) | 9.52154 | − | 4.23926i | 0.334967 | − | 0.149137i | ||||
\(809\) | −8.63401 | − | 9.58904i | −0.303556 | − | 0.337133i | 0.571997 | − | 0.820256i | \(-0.306169\pi\) |
−0.875552 | + | 0.483123i | \(0.839502\pi\) | |||||||
\(810\) | −3.02055 | − | 11.1935i | −0.106131 | − | 0.393299i | ||||
\(811\) | −6.43795 | − | 19.8140i | −0.226067 | − | 0.695763i | −0.998182 | − | 0.0602792i | \(-0.980801\pi\) |
0.772115 | − | 0.635483i | \(-0.219199\pi\) | |||||||
\(812\) | 7.54876 | + | 5.16734i | 0.264910 | + | 0.181338i | ||||
\(813\) | 2.34704 | − | 7.22344i | 0.0823142 | − | 0.253337i | ||||
\(814\) | −21.5135 | + | 23.8932i | −0.754048 | + | 0.837455i | ||||
\(815\) | 15.3237 | − | 15.3781i | 0.536766 | − | 0.538671i | ||||
\(816\) | 2.86600 | + | 3.18302i | 0.100330 | + | 0.111428i | ||||
\(817\) | 5.43097 | − | 51.6722i | 0.190006 | − | 1.80778i | ||||
\(818\) | −6.93986 | −0.242647 | ||||||||
\(819\) | 3.28396 | + | 24.5884i | 0.114751 | + | 0.859187i | ||||
\(820\) | 5.86976 | − | 2.26513i | 0.204981 | − | 0.0791016i | ||||
\(821\) | 10.3317 | + | 4.59996i | 0.360578 | + | 0.160540i | 0.579026 | − | 0.815309i | \(-0.303433\pi\) |
−0.218448 | + | 0.975849i | \(0.570100\pi\) | |||||||
\(822\) | 0.526539 | + | 5.00969i | 0.0183652 | + | 0.174733i | ||||
\(823\) | 15.9329 | + | 3.38664i | 0.555386 | + | 0.118051i | 0.477050 | − | 0.878876i | \(-0.341706\pi\) |
0.0783357 | + | 0.996927i | \(0.475039\pi\) | |||||||
\(824\) | −3.14477 | − | 5.44690i | −0.109553 | − | 0.189752i | ||||
\(825\) | 7.97335 | + | 4.56583i | 0.277596 | + | 0.158962i | ||||
\(826\) | 29.4745 | − | 7.13459i | 1.02555 | − | 0.248244i | ||||
\(827\) | 0.870090 | + | 2.67786i | 0.0302560 | + | 0.0931184i | 0.965044 | − | 0.262087i | \(-0.0844108\pi\) |
−0.934788 | + | 0.355206i | \(0.884411\pi\) | |||||||
\(828\) | 5.26137 | + | 2.34251i | 0.182845 | + | 0.0814079i | ||||
\(829\) | 0.672077 | + | 6.39438i | 0.0233422 | + | 0.222086i | 0.999974 | + | 0.00716819i | \(0.00228172\pi\) |
−0.976632 | + | 0.214918i | \(0.931052\pi\) | |||||||
\(830\) | 4.36164 | − | 4.37711i | 0.151395 | − | 0.151932i | ||||
\(831\) | −1.10510 | + | 10.5143i | −0.0383356 | + | 0.364738i | ||||
\(832\) | −3.67112 | −0.127273 | ||||||||
\(833\) | −28.1224 | + | 34.9954i | −0.974385 | + | 1.21252i | ||||
\(834\) | 2.23351 | − | 6.87404i | 0.0773402 | − | 0.238029i | ||||
\(835\) | 28.2864 | + | 1.43219i | 0.978890 | + | 0.0495630i | ||||
\(836\) | 13.4033 | + | 2.84896i | 0.463563 | + | 0.0985333i | ||||
\(837\) | 10.6743 | + | 11.8550i | 0.368957 | + | 0.409768i | ||||
\(838\) | 35.9631 | − | 7.64419i | 1.24232 | − | 0.264064i | ||||
\(839\) | 11.3842 | + | 35.0370i | 0.393027 | + | 1.20961i | 0.930488 | + | 0.366323i | \(0.119384\pi\) |
−0.537461 | + | 0.843289i | \(0.680616\pi\) | |||||||
\(840\) | −1.13592 | − | 3.78412i | −0.0391930 | − | 0.130565i | ||||
\(841\) | −5.26719 | + | 16.2107i | −0.181627 | + | 0.558991i | ||||
\(842\) | 2.79439 | − | 26.5868i | 0.0963010 | − | 0.916242i | ||||
\(843\) | 3.52841 | − | 6.11139i | 0.121525 | − | 0.210487i | ||||
\(844\) | −4.60421 | + | 2.04993i | −0.158484 | + | 0.0705614i | ||||
\(845\) | 1.06548 | + | 0.0539475i | 0.0366538 | + | 0.00185585i | ||||
\(846\) | −17.5793 | + | 12.7721i | −0.604390 | + | 0.439115i | ||||
\(847\) | −8.92231 | − | 1.63638i | −0.306574 | − | 0.0562267i | ||||
\(848\) | −4.24008 | − | 13.0496i | −0.145605 | − | 0.448126i | ||||
\(849\) | 10.9212 | + | 18.9161i | 0.374815 | + | 0.649198i | ||||
\(850\) | −23.9069 | − | 21.3730i | −0.819999 | − | 0.733088i | ||||
\(851\) | −13.1743 | + | 22.8186i | −0.451610 | + | 0.782211i | ||||
\(852\) | −1.83223 | + | 2.03489i | −0.0627710 | + | 0.0697143i | ||||
\(853\) | 39.7380 | − | 28.8713i | 1.36060 | − | 0.988535i | 0.362195 | − | 0.932102i | \(-0.382027\pi\) |
0.998406 | − | 0.0564329i | \(-0.0179727\pi\) | |||||||
\(854\) | 9.79315 | + | 27.4913i | 0.335115 | + | 0.940734i | ||||
\(855\) | −17.9368 | − | 22.0700i | −0.613425 | − | 0.754779i | ||||
\(856\) | 0.837377 | − | 7.96711i | 0.0286209 | − | 0.272310i | ||||
\(857\) | −14.6258 | + | 25.3327i | −0.499608 | + | 0.865347i | −1.00000 | 0.000452160i | \(-0.999856\pi\) | |
0.500392 | + | 0.865799i | \(0.333189\pi\) | |||||||
\(858\) | 6.16288 | − | 2.74389i | 0.210397 | − | 0.0936749i | ||||
\(859\) | −45.4711 | + | 9.66519i | −1.55146 | + | 0.329772i | −0.902376 | − | 0.430949i | \(-0.858179\pi\) |
−0.649079 | + | 0.760721i | \(0.724846\pi\) | |||||||
\(860\) | −14.7140 | − | 18.1046i | −0.501742 | − | 0.617361i | ||||
\(861\) | 4.96963 | − | 0.139445i | 0.169364 | − | 0.00475227i | ||||
\(862\) | 2.30898 | − | 7.10630i | 0.0786441 | − | 0.242042i | ||||
\(863\) | −15.1486 | + | 3.21993i | −0.515663 | + | 0.109608i | −0.458390 | − | 0.888751i | \(-0.651574\pi\) |
−0.0572728 | + | 0.998359i | \(0.518240\pi\) | |||||||
\(864\) | 3.62808 | + | 0.771172i | 0.123430 | + | 0.0262358i | ||||
\(865\) | −5.55326 | + | 35.4684i | −0.188817 | + | 1.20596i | ||||
\(866\) | −20.9518 | + | 4.45345i | −0.711972 | + | 0.151334i | ||||
\(867\) | 13.0391 | + | 9.47348i | 0.442832 | + | 0.321736i | ||||
\(868\) | −7.84823 | − | 8.23936i | −0.266386 | − | 0.279662i | ||||
\(869\) | −7.06394 | − | 5.13225i | −0.239628 | − | 0.174100i | ||||
\(870\) | −4.32531 | + | 2.81979i | −0.146642 | + | 0.0956000i | ||||
\(871\) | 2.46733 | + | 23.4751i | 0.0836022 | + | 0.795422i | ||||
\(872\) | −0.356539 | − | 3.39225i | −0.0120739 | − | 0.114876i | ||||
\(873\) | 0.0670951 | − | 0.0745166i | 0.00227082 | − | 0.00252201i | ||||
\(874\) | 11.2296 | 0.379848 | ||||||||
\(875\) | 11.5160 | + | 27.2467i | 0.389312 | + | 0.921106i | ||||
\(876\) | −5.39233 | −0.182190 | ||||||||
\(877\) | 5.98276 | − | 6.64452i | 0.202023 | − | 0.224370i | −0.633617 | − | 0.773647i | \(-0.718430\pi\) |
0.835640 | + | 0.549278i | \(0.185097\pi\) | |||||||
\(878\) | −0.743742 | − | 7.07623i | −0.0251001 | − | 0.238811i | ||||
\(879\) | −2.35739 | − | 22.4291i | −0.0795128 | − | 0.756514i | ||||
\(880\) | 5.15424 | − | 3.36020i | 0.173750 | − | 0.113272i | ||||
\(881\) | 41.9671 | + | 30.4909i | 1.41391 | + | 1.02726i | 0.992740 | + | 0.120280i | \(0.0383793\pi\) |
0.421167 | + | 0.906983i | \(0.361621\pi\) | |||||||
\(882\) | −0.868807 | + | 17.8569i | −0.0292543 | + | 0.601273i | ||||
\(883\) | 33.0365 | + | 24.0024i | 1.11177 | + | 0.807746i | 0.982941 | − | 0.183921i | \(-0.0588790\pi\) |
0.128826 | + | 0.991667i | \(0.458879\pi\) | |||||||
\(884\) | −23.0304 | + | 4.89527i | −0.774597 | + | 0.164646i | ||||
\(885\) | −2.64765 | + | 16.9104i | −0.0889999 | + | 0.568437i | ||||
\(886\) | 22.5528 | + | 4.79374i | 0.757675 | + | 0.161049i | ||||
\(887\) | 12.4364 | − | 2.64343i | 0.417572 | − | 0.0887577i | 0.00566591 | − | 0.999984i | \(-0.498196\pi\) |
0.411906 | + | 0.911226i | \(0.364863\pi\) | |||||||
\(888\) | −2.41135 | + | 7.42136i | −0.0809195 | + | 0.249045i | ||||
\(889\) | −5.18921 | − | 8.43254i | −0.174040 | − | 0.282818i | ||||
\(890\) | −15.4001 | − | 18.9488i | −0.516212 | − | 0.635165i | ||||
\(891\) | 13.9552 | − | 2.96628i | 0.467518 | − | 0.0993740i | ||||
\(892\) | 4.83090 | − | 2.15085i | 0.161750 | − | 0.0720159i | ||||
\(893\) | −21.1842 | + | 36.6921i | −0.708902 | + | 1.22785i | ||||
\(894\) | 0.310817 | − | 2.95722i | 0.0103953 | − | 0.0989044i | ||||
\(895\) | 10.3095 | + | 12.6851i | 0.344608 | + | 0.424017i | ||||
\(896\) | −2.60235 | − | 0.477279i | −0.0869383 | − | 0.0159448i | ||||
\(897\) | 4.47270 | − | 3.24960i | 0.149339 | − | 0.108501i | ||||
\(898\) | −3.93419 | + | 4.36936i | −0.131286 | + | 0.145808i | ||||
\(899\) | −7.43533 | + | 12.8784i | −0.247982 | + | 0.429518i | ||||
\(900\) | −12.7047 | − | 1.28983i | −0.423490 | − | 0.0429944i | ||||
\(901\) | −44.0009 | − | 76.2117i | −1.46588 | − | 2.53898i | ||||
\(902\) | 2.39249 | + | 7.36334i | 0.0796614 | + | 0.245172i | ||||
\(903\) | −6.18621 | − | 17.3659i | −0.205864 | − | 0.577902i | ||||
\(904\) | 15.6861 | − | 11.3966i | 0.521711 | − | 0.379045i | ||||
\(905\) | −24.9688 | − | 1.26422i | −0.829991 | − | 0.0420240i | ||||
\(906\) | 2.56950 | − | 1.14401i | 0.0853659 | − | 0.0380073i | ||||
\(907\) | −27.5035 | + | 47.6374i | −0.913238 | + | 1.58177i | −0.103777 | + | 0.994601i | \(0.533093\pi\) |
−0.809461 | + | 0.587174i | \(0.800240\pi\) | |||||||
\(908\) | −2.24878 | + | 21.3957i | −0.0746284 | + | 0.710041i | ||||
\(909\) | 8.22585 | − | 25.3166i | 0.272834 | − | 0.839698i | ||||
\(910\) | 21.1369 | + | 4.99314i | 0.700681 | + | 0.165521i | ||||
\(911\) | 14.9404 | + | 45.9818i | 0.494997 | + | 1.52345i | 0.816961 | + | 0.576693i | \(0.195657\pi\) |
−0.321963 | + | 0.946752i | \(0.604343\pi\) | |||||||
\(912\) | 3.25303 | − | 0.691454i | 0.107719 | − | 0.0228963i | ||||
\(913\) | 5.08803 | + | 5.65083i | 0.168389 | + | 0.187015i | ||||
\(914\) | −3.46640 | − | 0.736806i | −0.114658 | − | 0.0243714i | ||||
\(915\) | −16.4507 | − | 0.832929i | −0.543843 | − | 0.0275358i | ||||
\(916\) | −3.66925 | + | 11.2928i | −0.121235 | + | 0.373124i | ||||
\(917\) | 2.95530 | + | 22.1275i | 0.0975926 | + | 0.730716i | ||||
\(918\) | 23.7887 | 0.785145 | ||||||||
\(919\) | 4.52299 | − | 43.0334i | 0.149200 | − | 1.41954i | −0.622035 | − | 0.782989i | \(-0.713694\pi\) |
0.771235 | − | 0.636551i | \(-0.219639\pi\) | |||||||
\(920\) | 3.55915 | − | 3.57178i | 0.117342 | − | 0.117758i | ||||
\(921\) | 0.112544 | + | 1.07078i | 0.00370844 | + | 0.0352835i | ||||
\(922\) | −8.09058 | − | 3.60216i | −0.266449 | − | 0.118631i | ||||
\(923\) | −4.65139 | − | 14.3155i | −0.153102 | − | 0.471201i | ||||
\(924\) | 4.72541 | − | 1.14383i | 0.155455 | − | 0.0376293i | ||||
\(925\) | 11.9442 | − | 57.1886i | 0.392724 | − | 1.88035i | ||||
\(926\) | 4.93918 | + | 8.55490i | 0.162311 | + | 0.281132i | ||||
\(927\) | −15.7125 | − | 3.33979i | −0.516065 | − | 0.109693i | ||||
\(928\) | 0.361418 | + | 3.43866i | 0.0118641 | + | 0.112880i | ||||
\(929\) | −0.963985 | − | 0.429194i | −0.0316273 | − | 0.0140814i | 0.390862 | − | 0.920449i | \(-0.372177\pi\) |
−0.422489 | + | 0.906368i | \(0.638844\pi\) | |||||||
\(930\) | 5.99187 | − | 2.31225i | 0.196481 | − | 0.0758216i | ||||
\(931\) | 12.6141 | + | 32.4968i | 0.413412 | + | 1.06504i | ||||
\(932\) | 17.4306 | 0.570960 | ||||||||
\(933\) | −0.812856 | + | 7.73381i | −0.0266117 | + | 0.253193i | ||||
\(934\) | −6.94249 | − | 7.71042i | −0.227165 | − | 0.252293i | ||||
\(935\) | 27.8540 | − | 27.9529i | 0.910923 | − | 0.914156i | ||||
\(936\) | −6.27380 | + | 6.96776i | −0.205066 | + | 0.227748i | ||||
\(937\) | 9.78899 | − | 30.1274i | 0.319792 | − | 0.984220i | −0.653944 | − | 0.756543i | \(-0.726887\pi\) |
0.973737 | − | 0.227677i | \(-0.0731130\pi\) | |||||||
\(938\) | −1.30296 | + | 16.9615i | −0.0425430 | + | 0.553814i | ||||
\(939\) | −1.09916 | − | 3.38286i | −0.0358697 | − | 0.110395i | ||||
\(940\) | 4.95639 | + | 18.3673i | 0.161660 | + | 0.599076i | ||||
\(941\) | −37.5156 | − | 41.6653i | −1.22297 | − | 1.35825i | −0.913237 | − | 0.407429i | \(-0.866425\pi\) |
−0.309738 | − | 0.950822i | \(-0.600241\pi\) | |||||||
\(942\) | −2.83672 | + | 1.26299i | −0.0924254 | + | 0.0411504i | ||||
\(943\) | 3.17246 | + | 5.49487i | 0.103310 | + | 0.178938i | ||||
\(944\) | 9.27299 | + | 6.73722i | 0.301810 | + | 0.219278i | ||||
\(945\) | −19.8402 | − | 9.37471i | −0.645401 | − | 0.304959i | ||||
\(946\) | 23.2259 | − | 16.8746i | 0.755138 | − | 0.548640i | ||||
\(947\) | 8.33763 | + | 3.71215i | 0.270936 | + | 0.120629i | 0.537708 | − | 0.843131i | \(-0.319290\pi\) |
−0.266772 | + | 0.963760i | \(0.585957\pi\) | |||||||
\(948\) | −2.07286 | − | 0.440601i | −0.0673235 | − | 0.0143100i | ||||
\(949\) | 14.8210 | − | 25.6708i | 0.481112 | − | 0.833310i | ||||
\(950\) | −23.6533 | + | 7.77816i | −0.767414 | + | 0.252357i | ||||
\(951\) | −2.00753 | −0.0650985 | ||||||||
\(952\) | −16.9620 | + | 0.475945i | −0.549742 | + | 0.0154255i | ||||
\(953\) | 9.38052 | − | 6.81534i | 0.303865 | − | 0.220771i | −0.425395 | − | 0.905008i | \(-0.639865\pi\) |
0.729259 | + | 0.684237i | \(0.239865\pi\) | |||||||
\(954\) | −32.0143 | − | 14.2537i | −1.03650 | − | 0.461480i | ||||
\(955\) | −17.9261 | + | 17.9897i | −0.580076 | + | 0.582134i | ||||
\(956\) | 24.0756 | − | 10.7192i | 0.778661 | − | 0.346682i | ||||
\(957\) | −3.17688 | − | 5.50252i | −0.102694 | − | 0.177871i | ||||
\(958\) | −9.86788 | − | 7.16944i | −0.318817 | − | 0.231634i | ||||
\(959\) | −16.4676 | − | 11.2725i | −0.531767 | − | 0.364009i | ||||
\(960\) | 0.811098 | − | 1.25384i | 0.0261781 | − | 0.0404674i | ||||
\(961\) | −8.36588 | + | 9.29125i | −0.269867 | + | 0.299718i | ||||
\(962\) | −28.7025 | − | 31.8774i | −0.925407 | − | 1.02777i | ||||
\(963\) | −13.6905 | − | 15.2048i | −0.441169 | − | 0.489968i | ||||
\(964\) | −7.85687 | + | 8.72594i | −0.253053 | + | 0.281044i | ||||
\(965\) | 1.66869 | + | 30.7967i | 0.0537170 | + | 0.991381i | ||||
\(966\) | 3.59304 | − | 1.72206i | 0.115604 | − | 0.0554063i | ||||
\(967\) | 43.2136 | + | 31.3965i | 1.38966 | + | 1.00964i | 0.995903 | + | 0.0904272i | \(0.0288232\pi\) |
0.393752 | + | 0.919217i | \(0.371177\pi\) | |||||||
\(968\) | −1.71428 | − | 2.96922i | −0.0550991 | − | 0.0954344i | ||||
\(969\) | 19.4856 | − | 8.67554i | 0.625967 | − | 0.278699i | ||||
\(970\) | −0.0399942 | − | 0.0781504i | −0.00128413 | − | 0.00250926i | ||||
\(971\) | −21.1822 | − | 9.43091i | −0.679768 | − | 0.302652i | 0.0376542 | − | 0.999291i | \(-0.488011\pi\) |
−0.717422 | + | 0.696639i | \(0.754678\pi\) | |||||||
\(972\) | 11.8036 | − | 8.57582i | 0.378601 | − | 0.275070i | ||||
\(973\) | 15.0071 | + | 24.3868i | 0.481107 | + | 0.781806i | ||||
\(974\) | −22.6778 | −0.726643 | ||||||||
\(975\) | −7.17014 | + | 9.94273i | −0.229628 | + | 0.318422i | ||||
\(976\) | −5.51517 | + | 9.55255i | −0.176536 | + | 0.305770i | ||||
\(977\) | 46.5745 | + | 9.89972i | 1.49005 | + | 0.316720i | 0.879745 | − | 0.475446i | \(-0.157713\pi\) |
0.610306 | + | 0.792166i | \(0.291047\pi\) | |||||||
\(978\) | 5.92326 | + | 2.63721i | 0.189405 | + | 0.0843285i | ||||
\(979\) | 24.3089 | − | 17.6614i | 0.776914 | − | 0.564461i | ||||
\(980\) | 14.3341 | + | 6.28747i | 0.457887 | + | 0.200846i | ||||
\(981\) | −7.04777 | − | 5.12051i | −0.225018 | − | 0.163485i | ||||
\(982\) | 6.79205 | + | 11.7642i | 0.216743 | + | 0.375410i | ||||
\(983\) | −42.3665 | + | 18.8628i | −1.35128 | + | 0.601629i | −0.949402 | − | 0.314064i | \(-0.898309\pi\) |
−0.401879 | + | 0.915693i | \(0.631643\pi\) | |||||||
\(984\) | 1.25735 | + | 1.39643i | 0.0400829 | + | 0.0445166i | ||||
\(985\) | −9.57638 | + | 25.0800i | −0.305129 | + | 0.799115i | ||||
\(986\) | 6.85262 | + | 21.0902i | 0.218232 | + | 0.671649i | ||||
\(987\) | −1.15140 | + | 14.9886i | −0.0366494 | + | 0.477093i | ||||
\(988\) | −5.64935 | + | 17.3869i | −0.179730 | + | 0.553152i | ||||
\(989\) | 15.7428 | − | 17.4842i | 0.500593 | − | 0.555965i | ||||
\(990\) | 2.43077 | − | 15.5252i | 0.0772548 | − | 0.493423i | ||||
\(991\) | 30.0230 | + | 33.3439i | 0.953712 | + | 1.05920i | 0.998187 | + | 0.0601935i | \(0.0191718\pi\) |
−0.0444752 | + | 0.999010i | \(0.514162\pi\) | |||||||
\(992\) | 0.449562 | − | 4.27730i | 0.0142736 | − | 0.135804i | ||||
\(993\) | −20.2073 | −0.641260 | ||||||||
\(994\) | −1.43609 | − | 10.7526i | −0.0455499 | − | 0.341050i | ||||
\(995\) | 0.434076 | + | 8.01115i | 0.0137611 | + | 0.253971i | ||||
\(996\) | 1.68596 | + | 0.750636i | 0.0534216 | + | 0.0237848i | ||||
\(997\) | 0.564870 | + | 5.37438i | 0.0178896 | + | 0.170208i | 0.999819 | − | 0.0190409i | \(-0.00606126\pi\) |
−0.981929 | + | 0.189249i | \(0.939395\pi\) | |||||||
\(998\) | −41.3971 | − | 8.79922i | −1.31040 | − | 0.278534i | ||||
\(999\) | 21.6697 | + | 37.5331i | 0.685600 | + | 1.18749i |
(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 | 350.2.q.b.81.6 | ✓ | 72 | |
7.2 | even | 3 | inner | 350.2.q.b.331.4 | yes | 72 | |
25.21 | even | 5 | inner | 350.2.q.b.221.4 | yes | 72 | |
175.121 | even | 15 | inner | 350.2.q.b.121.6 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.q.b.81.6 | ✓ | 72 | 1.1 | even | 1 | trivial | |
350.2.q.b.121.6 | yes | 72 | 175.121 | even | 15 | inner | |
350.2.q.b.221.4 | yes | 72 | 25.21 | even | 5 | inner | |
350.2.q.b.331.4 | yes | 72 | 7.2 | even | 3 | inner |