Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(50,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fy (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 50.3 | ||
Character | \(\chi\) | \(=\) | 819.50 |
Dual form | 819.2.fy.a.344.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.708020 | − | 2.64237i | −0.500646 | − | 1.86844i | −0.495781 | − | 0.868448i | \(-0.665118\pi\) |
−0.00486484 | − | 0.999988i | \(-0.501549\pi\) | |||||||
\(3\) | 0.160527 | + | 1.72460i | 0.0926803 | + | 0.995696i | ||||
\(4\) | −4.74876 | + | 2.74170i | −2.37438 | + | 1.37085i | ||||
\(5\) | 0.977651 | + | 3.64864i | 0.437219 | + | 1.63172i | 0.735700 | + | 0.677308i | \(0.236853\pi\) |
−0.298481 | + | 0.954416i | \(0.596480\pi\) | |||||||
\(6\) | 4.44336 | − | 1.64522i | 1.81399 | − | 0.671658i | ||||
\(7\) | 0.707107 | − | 0.707107i | 0.267261 | − | 0.267261i | ||||
\(8\) | 6.73810 | + | 6.73810i | 2.38228 | + | 2.38228i | ||||
\(9\) | −2.94846 | + | 0.553689i | −0.982821 | + | 0.184563i | ||||
\(10\) | 8.94886 | − | 5.16663i | 2.82988 | − | 1.63383i | ||||
\(11\) | −0.679006 | + | 0.181939i | −0.204728 | + | 0.0548567i | −0.359726 | − | 0.933058i | \(-0.617130\pi\) |
0.154998 | + | 0.987915i | \(0.450463\pi\) | |||||||
\(12\) | −5.49063 | − | 7.74958i | −1.58501 | − | 2.23711i | ||||
\(13\) | 2.06550 | + | 2.95529i | 0.572866 | + | 0.819649i | ||||
\(14\) | −2.36908 | − | 1.36779i | −0.633164 | − | 0.365557i | ||||
\(15\) | −6.13550 | + | 2.27176i | −1.58418 | + | 0.586566i | ||||
\(16\) | 7.55042 | − | 13.0777i | 1.88761 | − | 3.26943i | ||||
\(17\) | 1.19367 | − | 2.06750i | 0.289507 | − | 0.501441i | −0.684185 | − | 0.729309i | \(-0.739842\pi\) |
0.973692 | + | 0.227867i | \(0.0731752\pi\) | |||||||
\(18\) | 3.55062 | + | 7.39890i | 0.836889 | + | 1.74394i | ||||
\(19\) | −1.51828 | + | 0.406822i | −0.348317 | + | 0.0933313i | −0.428736 | − | 0.903430i | \(-0.641041\pi\) |
0.0804188 | + | 0.996761i | \(0.474374\pi\) | |||||||
\(20\) | −14.6461 | − | 14.6461i | −3.27497 | − | 3.27497i | ||||
\(21\) | 1.33298 | + | 1.10596i | 0.290881 | + | 0.241341i | ||||
\(22\) | 0.961500 | + | 1.66537i | 0.204993 | + | 0.355058i | ||||
\(23\) | −5.40400 | −1.12681 | −0.563406 | − | 0.826180i | \(-0.690509\pi\) | ||||
−0.563406 | + | 0.826180i | \(0.690509\pi\) | |||||||
\(24\) | −10.5388 | + | 12.7021i | −2.15123 | + | 2.59281i | ||||
\(25\) | −8.02667 | + | 4.63420i | −1.60533 | + | 0.926840i | ||||
\(26\) | 6.34654 | − | 7.55020i | 1.24466 | − | 1.48072i | ||||
\(27\) | −1.42820 | − | 4.99602i | −0.274857 | − | 0.961485i | ||||
\(28\) | −1.41921 | + | 5.29655i | −0.268205 | + | 1.00095i | ||||
\(29\) | 5.56240 | + | 3.21145i | 1.03291 | + | 0.596352i | 0.917817 | − | 0.397003i | \(-0.129950\pi\) |
0.115094 | + | 0.993355i | \(0.463283\pi\) | |||||||
\(30\) | 10.3469 | + | 14.6038i | 1.88907 | + | 2.66627i | ||||
\(31\) | −10.3805 | + | 2.78144i | −1.86439 | + | 0.499562i | −0.999995 | − | 0.00325169i | \(-0.998965\pi\) |
−0.864395 | + | 0.502813i | \(0.832298\pi\) | |||||||
\(32\) | −21.4932 | − | 5.75907i | −3.79949 | − | 1.01807i | ||||
\(33\) | −0.422770 | − | 1.14181i | −0.0735949 | − | 0.198763i | ||||
\(34\) | −6.30822 | − | 1.69028i | −1.08185 | − | 0.289881i | ||||
\(35\) | 3.27128 | + | 1.88868i | 0.552948 | + | 0.319245i | ||||
\(36\) | 12.4835 | − | 10.7131i | 2.08058 | − | 1.78552i | ||||
\(37\) | −1.52552 | − | 0.408761i | −0.250794 | − | 0.0672000i | 0.131232 | − | 0.991352i | \(-0.458107\pi\) |
−0.382026 | + | 0.924152i | \(0.624773\pi\) | |||||||
\(38\) | 2.14994 | + | 3.72381i | 0.348767 | + | 0.604082i | ||||
\(39\) | −4.76511 | + | 4.03655i | −0.763028 | + | 0.646365i | ||||
\(40\) | −17.9974 | + | 31.1724i | −2.84564 | + | 4.92879i | ||||
\(41\) | 6.74222 | − | 6.74222i | 1.05296 | − | 1.05296i | 0.0544406 | − | 0.998517i | \(-0.482662\pi\) |
0.998517 | − | 0.0544406i | \(-0.0173376\pi\) | |||||||
\(42\) | 1.97858 | − | 4.30528i | 0.305302 | − | 0.664318i | ||||
\(43\) | 6.99013i | 1.06599i | 0.846120 | + | 0.532993i | \(0.178933\pi\) | ||||
−0.846120 | + | 0.532993i | \(0.821067\pi\) | |||||||
\(44\) | 2.72562 | − | 2.72562i | 0.410902 | − | 0.410902i | ||||
\(45\) | −4.90278 | − | 10.2166i | −0.730863 | − | 1.52300i | ||||
\(46\) | 3.82614 | + | 14.2793i | 0.564133 | + | 2.10537i | ||||
\(47\) | −0.566777 | + | 2.11524i | −0.0826730 | + | 0.308540i | −0.994863 | − | 0.101227i | \(-0.967723\pi\) |
0.912190 | + | 0.409767i | \(0.134390\pi\) | |||||||
\(48\) | 23.7658 | + | 10.9221i | 3.43030 | + | 1.57647i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 17.9283 | + | 17.9283i | 2.53545 | + | 2.53545i | ||||
\(51\) | 3.75721 | + | 1.72671i | 0.526115 | + | 0.241787i | ||||
\(52\) | −17.9111 | − | 8.37099i | −2.48382 | − | 1.16085i | ||||
\(53\) | 1.20651i | 0.165727i | 0.996561 | + | 0.0828637i | \(0.0264066\pi\) | ||||
−0.996561 | + | 0.0828637i | \(0.973593\pi\) | |||||||
\(54\) | −12.1901 | + | 7.31111i | −1.65887 | + | 0.994916i | ||||
\(55\) | −1.32766 | − | 2.29958i | −0.179022 | − | 0.310075i | ||||
\(56\) | 9.52911 | 1.27338 | ||||||||
\(57\) | −0.945328 | − | 2.55311i | −0.125212 | − | 0.338168i | ||||
\(58\) | 4.54755 | − | 16.9717i | 0.597122 | − | 2.22849i | ||||
\(59\) | −0.620649 | + | 2.31629i | −0.0808016 | + | 0.301556i | −0.994486 | − | 0.104868i | \(-0.966558\pi\) |
0.913684 | + | 0.406424i | \(0.133225\pi\) | |||||||
\(60\) | 22.9075 | − | 27.6097i | 2.95735 | − | 3.56440i | ||||
\(61\) | −4.37510 | −0.560174 | −0.280087 | − | 0.959975i | \(-0.590363\pi\) | ||||
−0.280087 | + | 0.959975i | \(0.590363\pi\) | |||||||
\(62\) | 14.6992 | + | 25.4597i | 1.86680 | + | 3.23339i | ||||
\(63\) | −1.69336 | + | 2.47639i | −0.213343 | + | 0.311996i | ||||
\(64\) | 30.6687i | 3.83358i | ||||||||
\(65\) | −8.76346 | + | 10.4255i | −1.08697 | + | 1.29312i | ||||
\(66\) | −2.71774 | + | 1.92554i | −0.334531 | + | 0.237017i | ||||
\(67\) | 4.17731 | + | 4.17731i | 0.510340 | + | 0.510340i | 0.914630 | − | 0.404291i | \(-0.132482\pi\) |
−0.404291 | + | 0.914630i | \(0.632482\pi\) | |||||||
\(68\) | 13.0907i | 1.58748i | ||||||||
\(69\) | −0.867488 | − | 9.31971i | −0.104433 | − | 1.12196i | ||||
\(70\) | 2.67444 | − | 9.98116i | 0.319657 | − | 1.19298i | ||||
\(71\) | −1.53924 | − | 5.74452i | −0.182674 | − | 0.681750i | −0.995116 | − | 0.0987079i | \(-0.968529\pi\) |
0.812442 | − | 0.583042i | \(-0.198138\pi\) | |||||||
\(72\) | −23.5978 | − | 16.1362i | −2.78103 | − | 1.90167i | ||||
\(73\) | −3.15627 | + | 3.15627i | −0.369413 | + | 0.369413i | −0.867263 | − | 0.497850i | \(-0.834123\pi\) |
0.497850 | + | 0.867263i | \(0.334123\pi\) | |||||||
\(74\) | 4.32039i | 0.502235i | ||||||||
\(75\) | −9.28062 | − | 13.0989i | −1.07163 | − | 1.51253i | ||||
\(76\) | 6.09456 | − | 6.09456i | 0.699094 | − | 0.699094i | ||||
\(77\) | −0.351480 | + | 0.608780i | −0.0400548 | + | 0.0693770i | ||||
\(78\) | 14.0398 | + | 9.73321i | 1.58970 | + | 1.10207i | ||||
\(79\) | 3.57649 | + | 6.19466i | 0.402387 | + | 0.696954i | 0.994013 | − | 0.109258i | \(-0.0348474\pi\) |
−0.591627 | + | 0.806212i | \(0.701514\pi\) | |||||||
\(80\) | 55.0976 | + | 14.7634i | 6.16010 | + | 1.65059i | ||||
\(81\) | 8.38686 | − | 3.26506i | 0.931873 | − | 0.362784i | ||||
\(82\) | −22.5890 | − | 13.0418i | −2.49454 | − | 1.44022i | ||||
\(83\) | −10.2545 | − | 2.74768i | −1.12558 | − | 0.301597i | −0.352438 | − | 0.935835i | \(-0.614647\pi\) |
−0.773138 | + | 0.634238i | \(0.781314\pi\) | |||||||
\(84\) | −9.36224 | − | 1.59732i | −1.02150 | − | 0.174282i | ||||
\(85\) | 8.71054 | + | 2.33398i | 0.944791 | + | 0.253156i | ||||
\(86\) | 18.4705 | − | 4.94916i | 1.99173 | − | 0.533681i | ||||
\(87\) | −4.64554 | + | 10.1084i | −0.498054 | + | 1.08374i | ||||
\(88\) | −5.80114 | − | 3.34929i | −0.618403 | − | 0.357035i | ||||
\(89\) | 0.0942637 | − | 0.351797i | 0.00999194 | − | 0.0372904i | −0.960750 | − | 0.277416i | \(-0.910522\pi\) |
0.970742 | + | 0.240126i | \(0.0771886\pi\) | |||||||
\(90\) | −23.5247 | + | 20.1885i | −2.47972 | + | 2.12805i | ||||
\(91\) | 3.55023 | + | 0.629178i | 0.372165 | + | 0.0659558i | ||||
\(92\) | 25.6623 | − | 14.8161i | 2.67548 | − | 1.54469i | ||||
\(93\) | −6.46321 | − | 17.4556i | −0.670204 | − | 1.81007i | ||||
\(94\) | 5.99054 | 0.617877 | ||||||||
\(95\) | −2.96869 | − | 5.14193i | −0.304582 | − | 0.527551i | ||||
\(96\) | 6.48184 | − | 37.9915i | 0.661550 | − | 3.87749i | ||||
\(97\) | 0.918904 | + | 0.918904i | 0.0933006 | + | 0.0933006i | 0.752217 | − | 0.658916i | \(-0.228985\pi\) |
−0.658916 | + | 0.752217i | \(0.728985\pi\) | |||||||
\(98\) | −2.64237 | + | 0.708020i | −0.266919 | + | 0.0715208i | ||||
\(99\) | 1.90129 | − | 0.912399i | 0.191087 | − | 0.0916995i | ||||
\(100\) | 25.4112 | − | 44.0134i | 2.54112 | − | 4.40134i | ||||
\(101\) | 7.40680 | − | 12.8290i | 0.737004 | − | 1.27653i | −0.216834 | − | 0.976209i | \(-0.569573\pi\) |
0.953838 | − | 0.300321i | \(-0.0970937\pi\) | |||||||
\(102\) | 1.90241 | − | 11.1505i | 0.188367 | − | 1.10406i | ||||
\(103\) | −15.3772 | − | 8.87805i | −1.51516 | − | 0.874780i | −0.999842 | − | 0.0177834i | \(-0.994339\pi\) |
−0.515322 | − | 0.856997i | \(-0.672328\pi\) | |||||||
\(104\) | −5.99550 | + | 33.8305i | −0.587908 | + | 3.31736i | ||||
\(105\) | −2.73207 | + | 5.94483i | −0.266623 | + | 0.580156i | ||||
\(106\) | 3.18805 | − | 0.854236i | 0.309651 | − | 0.0829708i | ||||
\(107\) | 4.20527 | − | 2.42792i | 0.406539 | − | 0.234716i | −0.282762 | − | 0.959190i | \(-0.591251\pi\) |
0.689302 | + | 0.724474i | \(0.257917\pi\) | |||||||
\(108\) | 20.4798 | + | 19.8092i | 1.97067 | + | 1.90614i | ||||
\(109\) | −5.63598 | − | 5.63598i | −0.539829 | − | 0.539829i | 0.383650 | − | 0.923479i | \(-0.374667\pi\) |
−0.923479 | + | 0.383650i | \(0.874667\pi\) | |||||||
\(110\) | −5.13632 | + | 5.13632i | −0.489729 | + | 0.489729i | ||||
\(111\) | 0.460061 | − | 2.69652i | 0.0436671 | − | 0.255942i | ||||
\(112\) | −3.90839 | − | 14.5863i | −0.369308 | − | 1.37828i | ||||
\(113\) | −5.95701 | + | 3.43928i | −0.560388 | + | 0.323540i | −0.753301 | − | 0.657676i | \(-0.771540\pi\) |
0.192913 | + | 0.981216i | \(0.438206\pi\) | |||||||
\(114\) | −6.07695 | + | 4.30556i | −0.569158 | + | 0.403252i | ||||
\(115\) | −5.28322 | − | 19.7173i | −0.492663 | − | 1.83864i | ||||
\(116\) | −35.2193 | −3.27003 | ||||||||
\(117\) | −7.72635 | − | 7.56991i | −0.714301 | − | 0.699839i | ||||
\(118\) | 6.55993 | 0.603891 | ||||||||
\(119\) | −0.617888 | − | 2.30599i | −0.0566417 | − | 0.211390i | ||||
\(120\) | −56.6489 | − | 26.0342i | −5.17131 | − | 2.37659i | ||||
\(121\) | −9.09833 | + | 5.25292i | −0.827121 | + | 0.477539i | ||||
\(122\) | 3.09766 | + | 11.5606i | 0.280449 | + | 1.04665i | ||||
\(123\) | 12.7099 | + | 10.5453i | 1.14601 | + | 0.950837i | ||||
\(124\) | 41.6686 | − | 41.6686i | 3.74195 | − | 3.74195i | ||||
\(125\) | −11.4009 | − | 11.4009i | −1.01973 | − | 1.01973i | ||||
\(126\) | 7.74248 | + | 2.72114i | 0.689755 | + | 0.242419i | ||||
\(127\) | −8.81320 | + | 5.08830i | −0.782045 | + | 0.451514i | −0.837155 | − | 0.546966i | \(-0.815783\pi\) |
0.0551094 | + | 0.998480i | \(0.482449\pi\) | |||||||
\(128\) | 38.0515 | − | 10.1959i | 3.36331 | − | 0.901197i | ||||
\(129\) | −12.0552 | + | 1.12211i | −1.06140 | + | 0.0987959i | ||||
\(130\) | 33.7527 | + | 15.7748i | 2.96031 | + | 1.38354i | ||||
\(131\) | 16.2370 | + | 9.37443i | 1.41863 | + | 0.819048i | 0.996179 | − | 0.0873366i | \(-0.0278356\pi\) |
0.422454 | + | 0.906385i | \(0.361169\pi\) | |||||||
\(132\) | 5.13812 | + | 4.26305i | 0.447216 | + | 0.371051i | ||||
\(133\) | −0.785919 | + | 1.36125i | −0.0681478 | + | 0.118035i | ||||
\(134\) | 8.08037 | − | 13.9956i | 0.698037 | − | 1.20904i | ||||
\(135\) | 16.8324 | − | 10.0954i | 1.44871 | − | 0.868869i | ||||
\(136\) | 21.9740 | − | 5.88793i | 1.88426 | − | 0.504886i | ||||
\(137\) | 11.8334 | + | 11.8334i | 1.01100 | + | 1.01100i | 0.999939 | + | 0.0110566i | \(0.00351951\pi\) |
0.0110566 | + | 0.999939i | \(0.496480\pi\) | |||||||
\(138\) | −24.0119 | + | 8.89076i | −2.04403 | + | 0.756832i | ||||
\(139\) | 10.1729 | + | 17.6200i | 0.862853 | + | 1.49450i | 0.869164 | + | 0.494525i | \(0.164658\pi\) |
−0.00631072 | + | 0.999980i | \(0.502009\pi\) | |||||||
\(140\) | −20.7127 | −1.75055 | ||||||||
\(141\) | −3.73892 | − | 0.637908i | −0.314874 | − | 0.0537216i | ||||
\(142\) | −14.0893 | + | 8.13448i | −1.18235 | + | 0.682630i | ||||
\(143\) | −1.94017 | − | 1.63086i | −0.162245 | − | 0.136380i | ||||
\(144\) | −15.0212 | + | 42.7397i | −1.25176 | + | 3.56164i | ||||
\(145\) | −6.27936 | + | 23.4349i | −0.521473 | + | 1.94616i | ||||
\(146\) | 10.5747 | + | 6.10531i | 0.875170 | + | 0.505279i | ||||
\(147\) | 1.72460 | − | 0.160527i | 0.142242 | − | 0.0132400i | ||||
\(148\) | 8.36502 | − | 2.24140i | 0.687601 | − | 0.184242i | ||||
\(149\) | 6.02810 | + | 1.61522i | 0.493841 | + | 0.132324i | 0.497140 | − | 0.867670i | \(-0.334383\pi\) |
−0.00329905 | + | 0.999995i | \(0.501050\pi\) | |||||||
\(150\) | −28.0411 | + | 33.7971i | −2.28955 | + | 2.75952i | ||||
\(151\) | 10.0393 | + | 2.69002i | 0.816985 | + | 0.218910i | 0.643028 | − | 0.765843i | \(-0.277678\pi\) |
0.173957 | + | 0.984753i | \(0.444345\pi\) | |||||||
\(152\) | −12.9715 | − | 7.48911i | −1.05213 | − | 0.607447i | ||||
\(153\) | −2.37474 | + | 6.75685i | −0.191986 | + | 0.546259i | ||||
\(154\) | 1.85748 | + | 0.497709i | 0.149680 | + | 0.0401066i | ||||
\(155\) | −20.2970 | − | 35.1554i | −1.63029 | − | 2.82375i | ||||
\(156\) | 11.5614 | − | 32.2331i | 0.925650 | − | 2.58071i | ||||
\(157\) | 6.68718 | − | 11.5825i | 0.533695 | − | 0.924387i | −0.465530 | − | 0.885032i | \(-0.654136\pi\) |
0.999225 | − | 0.0393552i | \(-0.0125304\pi\) | |||||||
\(158\) | 13.8363 | − | 13.8363i | 1.10076 | − | 1.10076i | ||||
\(159\) | −2.08075 | + | 0.193678i | −0.165014 | + | 0.0153597i | ||||
\(160\) | − | 84.0512i | − | 6.64483i | ||||||
\(161\) | −3.82120 | + | 3.82120i | −0.301153 | + | 0.301153i | ||||
\(162\) | −14.5656 | − | 19.8494i | −1.14438 | − | 1.55952i | ||||
\(163\) | 4.23038 | + | 15.7880i | 0.331349 | + | 1.23661i | 0.907773 | + | 0.419461i | \(0.137781\pi\) |
−0.576424 | + | 0.817151i | \(0.695552\pi\) | |||||||
\(164\) | −13.5321 | + | 50.5023i | −1.05668 | + | 3.94357i | ||||
\(165\) | 3.75272 | − | 2.65883i | 0.292149 | − | 0.206989i | ||||
\(166\) | 29.0415i | 2.25406i | ||||||||
\(167\) | 14.1063 | + | 14.1063i | 1.09158 | + | 1.09158i | 0.995361 | + | 0.0962154i | \(0.0306738\pi\) |
0.0962154 | + | 0.995361i | \(0.469326\pi\) | |||||||
\(168\) | 1.52968 | + | 16.4339i | 0.118017 | + | 1.26790i | ||||
\(169\) | −4.46745 | + | 12.2083i | −0.343650 | + | 0.939098i | ||||
\(170\) | − | 24.6690i | − | 1.89202i | ||||||
\(171\) | 4.25133 | − | 2.04015i | 0.325108 | − | 0.156014i | ||||
\(172\) | −19.1648 | − | 33.1945i | −1.46131 | − | 2.53105i | ||||
\(173\) | 7.65093 | 0.581689 | 0.290845 | − | 0.956770i | \(-0.406064\pi\) | ||||
0.290845 | + | 0.956770i | \(0.406064\pi\) | |||||||
\(174\) | 29.9993 | + | 5.11827i | 2.27424 | + | 0.388015i | ||||
\(175\) | −2.39884 | + | 8.95259i | −0.181335 | + | 0.676752i | ||||
\(176\) | −2.74744 | + | 10.2536i | −0.207096 | + | 0.772892i | ||||
\(177\) | −4.09430 | − | 0.698541i | −0.307747 | − | 0.0525056i | ||||
\(178\) | −0.996318 | −0.0746772 | ||||||||
\(179\) | −1.17460 | − | 2.03447i | −0.0877938 | − | 0.152063i | 0.818785 | − | 0.574101i | \(-0.194648\pi\) |
−0.906578 | + | 0.422038i | \(0.861315\pi\) | |||||||
\(180\) | 51.2929 | + | 35.0741i | 3.82315 | + | 2.61427i | ||||
\(181\) | 18.6087i | 1.38317i | 0.722295 | + | 0.691585i | \(0.243087\pi\) | ||||
−0.722295 | + | 0.691585i | \(0.756913\pi\) | |||||||
\(182\) | −0.851116 | − | 9.82648i | −0.0630889 | − | 0.728387i | ||||
\(183\) | −0.702321 | − | 7.54527i | −0.0519171 | − | 0.557762i | ||||
\(184\) | −36.4127 | − | 36.4127i | −2.68438 | − | 2.68438i | ||||
\(185\) | − | 5.96570i | − | 0.438607i | ||||||
\(186\) | −41.5481 | + | 29.4371i | −3.04646 | + | 2.15843i | ||||
\(187\) | −0.434350 | + | 1.62102i | −0.0317628 | + | 0.118541i | ||||
\(188\) | −3.10787 | − | 11.5987i | −0.226664 | − | 0.845923i | ||||
\(189\) | −4.54261 | − | 2.52283i | −0.330426 | − | 0.183509i | ||||
\(190\) | −11.4850 | + | 11.4850i | −0.833207 | + | 0.833207i | ||||
\(191\) | − | 1.38113i | − | 0.0999353i | −0.998751 | − | 0.0499677i | \(-0.984088\pi\) | ||
0.998751 | − | 0.0499677i | \(-0.0159118\pi\) | |||||||
\(192\) | −52.8910 | + | 4.92315i | −3.81708 | + | 0.355298i | ||||
\(193\) | 15.6242 | − | 15.6242i | 1.12465 | − | 1.12465i | 0.133623 | − | 0.991032i | \(-0.457339\pi\) |
0.991032 | − | 0.133623i | \(-0.0426610\pi\) | |||||||
\(194\) | 1.77748 | − | 3.07868i | 0.127616 | − | 0.221037i | ||||
\(195\) | −19.3865 | − | 13.4398i | −1.38830 | − | 0.962448i | ||||
\(196\) | 2.74170 | + | 4.74876i | 0.195836 | + | 0.339197i | ||||
\(197\) | 9.69489 | + | 2.59774i | 0.690733 | + | 0.185081i | 0.587076 | − | 0.809532i | \(-0.300279\pi\) |
0.103657 | + | 0.994613i | \(0.466946\pi\) | |||||||
\(198\) | −3.75704 | − | 4.37790i | −0.267001 | − | 0.311124i | ||||
\(199\) | −12.3134 | − | 7.10914i | −0.872873 | − | 0.503954i | −0.00457119 | − | 0.999990i | \(-0.501455\pi\) |
−0.868302 | + | 0.496036i | \(0.834788\pi\) | |||||||
\(200\) | −85.3102 | − | 22.8588i | −6.03234 | − | 1.61636i | ||||
\(201\) | −6.53360 | + | 7.87474i | −0.460845 | + | 0.555441i | ||||
\(202\) | −39.1430 | − | 10.4883i | −2.75409 | − | 0.737956i | ||||
\(203\) | 6.20405 | − | 1.66237i | 0.435439 | − | 0.116676i | ||||
\(204\) | −22.5762 | + | 2.10141i | −1.58065 | + | 0.147128i | ||||
\(205\) | 31.1915 | + | 18.0084i | 2.17851 | + | 1.25776i | ||||
\(206\) | −12.5717 | + | 46.9181i | −0.875910 | + | 3.26894i | ||||
\(207\) | 15.9335 | − | 2.99213i | 1.10745 | − | 0.207968i | ||||
\(208\) | 54.2438 | − | 4.69830i | 3.76113 | − | 0.325768i | ||||
\(209\) | 0.956904 | − | 0.552469i | 0.0661904 | − | 0.0382151i | ||||
\(210\) | 17.6428 | + | 3.01009i | 1.21747 | + | 0.207716i | ||||
\(211\) | −10.5171 | −0.724026 | −0.362013 | − | 0.932173i | \(-0.617910\pi\) | ||||
−0.362013 | + | 0.932173i | \(0.617910\pi\) | |||||||
\(212\) | −3.30790 | − | 5.72945i | −0.227187 | − | 0.393500i | ||||
\(213\) | 9.65989 | − | 3.57672i | 0.661885 | − | 0.245073i | ||||
\(214\) | −9.39286 | − | 9.39286i | −0.642083 | − | 0.642083i | ||||
\(215\) | −25.5045 | + | 6.83391i | −1.73939 | + | 0.466069i | ||||
\(216\) | 24.0404 | − | 43.2870i | 1.63574 | − | 2.94531i | ||||
\(217\) | −5.37333 | + | 9.30689i | −0.364766 | + | 0.631793i | ||||
\(218\) | −10.9019 | + | 18.8827i | −0.738373 | + | 1.27890i | ||||
\(219\) | −5.94995 | − | 4.93662i | −0.402060 | − | 0.333586i | ||||
\(220\) | 12.6095 | + | 7.28010i | 0.850133 | + | 0.490824i | ||||
\(221\) | 8.57556 | − | 0.742768i | 0.576855 | − | 0.0499640i | ||||
\(222\) | −7.45093 | + | 0.693540i | −0.500074 | + | 0.0465473i | ||||
\(223\) | 4.74839 | − | 1.27233i | 0.317976 | − | 0.0852014i | −0.0963010 | − | 0.995352i | \(-0.530701\pi\) |
0.414277 | + | 0.910151i | \(0.364034\pi\) | |||||||
\(224\) | −19.2702 | + | 11.1257i | −1.28755 | + | 0.743365i | ||||
\(225\) | 21.1004 | − | 18.1080i | 1.40670 | − | 1.20720i | ||||
\(226\) | 13.3055 | + | 13.3055i | 0.885070 | + | 0.885070i | ||||
\(227\) | 8.46144 | − | 8.46144i | 0.561606 | − | 0.561606i | −0.368158 | − | 0.929763i | \(-0.620011\pi\) |
0.929763 | + | 0.368158i | \(0.120011\pi\) | |||||||
\(228\) | 11.4890 | + | 9.53231i | 0.760877 | + | 0.631293i | ||||
\(229\) | 1.02602 | + | 3.82918i | 0.0678016 | + | 0.253039i | 0.991505 | − | 0.130070i | \(-0.0415201\pi\) |
−0.923703 | + | 0.383109i | \(0.874853\pi\) | |||||||
\(230\) | −48.3596 | + | 27.9204i | −3.18874 | + | 1.84102i | ||||
\(231\) | −1.10632 | − | 0.508434i | −0.0727907 | − | 0.0334525i | ||||
\(232\) | 15.8409 | + | 59.1191i | 1.04001 | + | 3.88136i | ||||
\(233\) | −7.18023 | −0.470393 | −0.235196 | − | 0.971948i | \(-0.575573\pi\) | ||||
−0.235196 | + | 0.971948i | \(0.575573\pi\) | |||||||
\(234\) | −14.5321 | + | 25.7755i | −0.949992 | + | 1.68500i | ||||
\(235\) | −8.27188 | −0.539598 | ||||||||
\(236\) | −3.40327 | − | 12.7012i | −0.221534 | − | 0.826775i | ||||
\(237\) | −10.1092 | + | 7.16241i | −0.656661 | + | 0.465249i | ||||
\(238\) | −5.65580 | + | 3.26538i | −0.366611 | + | 0.211663i | ||||
\(239\) | 1.46899 | + | 5.48236i | 0.0950212 | + | 0.354624i | 0.997023 | − | 0.0771089i | \(-0.0245689\pi\) |
−0.902001 | + | 0.431733i | \(0.857902\pi\) | |||||||
\(240\) | −16.6162 | + | 97.3910i | −1.07257 | + | 6.28656i | ||||
\(241\) | 12.8827 | − | 12.8827i | 0.829846 | − | 0.829846i | −0.157650 | − | 0.987495i | \(-0.550392\pi\) |
0.987495 | + | 0.157650i | \(0.0503916\pi\) | |||||||
\(242\) | 20.3220 | + | 20.3220i | 1.30634 | + | 1.30634i | ||||
\(243\) | 6.97723 | + | 13.9398i | 0.447589 | + | 0.894239i | ||||
\(244\) | 20.7763 | − | 11.9952i | 1.33007 | − | 0.767913i | ||||
\(245\) | 3.64864 | − | 0.977651i | 0.233103 | − | 0.0624598i | ||||
\(246\) | 18.8657 | − | 41.0505i | 1.20283 | − | 2.61729i | ||||
\(247\) | −4.33827 | − | 3.64666i | −0.276038 | − | 0.232032i | ||||
\(248\) | −88.6863 | − | 51.2031i | −5.63159 | − | 3.25140i | ||||
\(249\) | 3.09252 | − | 18.1259i | 0.195980 | − | 1.14868i | ||||
\(250\) | −22.0532 | + | 38.1973i | −1.39477 | + | 2.41581i | ||||
\(251\) | −3.29737 | + | 5.71121i | −0.208128 | + | 0.360489i | −0.951125 | − | 0.308807i | \(-0.900070\pi\) |
0.742997 | + | 0.669295i | \(0.233404\pi\) | |||||||
\(252\) | 1.25184 | − | 16.4025i | 0.0788583 | − | 1.03326i | ||||
\(253\) | 3.66935 | − | 0.983199i | 0.230690 | − | 0.0618132i | ||||
\(254\) | 19.6851 | + | 19.6851i | 1.23515 | + | 1.23515i | ||||
\(255\) | −2.62690 | + | 15.3968i | −0.164503 | + | 0.964187i | ||||
\(256\) | −23.2139 | − | 40.2076i | −1.45087 | − | 2.51297i | ||||
\(257\) | 2.74970 | 0.171522 | 0.0857609 | − | 0.996316i | \(-0.472668\pi\) | ||||
0.0857609 | + | 0.996316i | \(0.472668\pi\) | |||||||
\(258\) | 11.5003 | + | 31.0597i | 0.715978 | + | 1.93369i | ||||
\(259\) | −1.36774 | + | 0.789667i | −0.0849874 | + | 0.0490675i | ||||
\(260\) | 13.0320 | − | 73.5350i | 0.808210 | − | 4.56044i | ||||
\(261\) | −18.1787 | − | 6.38901i | −1.12523 | − | 0.395470i | ||||
\(262\) | 13.2746 | − | 49.5414i | 0.820106 | − | 3.06068i | ||||
\(263\) | −2.67711 | − | 1.54563i | −0.165078 | − | 0.0953077i | 0.415185 | − | 0.909737i | \(-0.363717\pi\) |
−0.580263 | + | 0.814429i | \(0.697050\pi\) | |||||||
\(264\) | 4.84493 | − | 10.5423i | 0.298185 | − | 0.648832i | ||||
\(265\) | −4.40214 | + | 1.17955i | −0.270421 | + | 0.0724592i | ||||
\(266\) | 4.15337 | + | 1.11289i | 0.254660 | + | 0.0682358i | ||||
\(267\) | 0.621840 | + | 0.106094i | 0.0380560 | + | 0.00649284i | ||||
\(268\) | −31.2900 | − | 8.38412i | −1.91134 | − | 0.512142i | ||||
\(269\) | 3.85612 | + | 2.22633i | 0.235112 | + | 0.135742i | 0.612928 | − | 0.790139i | \(-0.289992\pi\) |
−0.377816 | + | 0.925881i | \(0.623325\pi\) | |||||||
\(270\) | −38.5933 | − | 37.3298i | −2.34872 | − | 2.27182i | ||||
\(271\) | −18.0999 | − | 4.84985i | −1.09949 | − | 0.294607i | −0.336933 | − | 0.941529i | \(-0.609389\pi\) |
−0.762557 | + | 0.646922i | \(0.776056\pi\) | |||||||
\(272\) | −18.0254 | − | 31.2209i | −1.09295 | − | 1.89305i | ||||
\(273\) | −0.515170 | + | 6.22371i | −0.0311795 | + | 0.376676i | ||||
\(274\) | 22.8899 | − | 39.6465i | 1.38283 | − | 2.39513i | ||||
\(275\) | 4.60702 | − | 4.60702i | 0.277814 | − | 0.277814i | ||||
\(276\) | 29.6713 | + | 41.8787i | 1.78600 | + | 2.52080i | ||||
\(277\) | 3.22819i | 0.193963i | 0.995286 | + | 0.0969816i | \(0.0309188\pi\) | ||||
−0.995286 | + | 0.0969816i | \(0.969081\pi\) | |||||||
\(278\) | 39.3558 | − | 39.3558i | 2.36040 | − | 2.36040i | ||||
\(279\) | 29.0664 | − | 13.9485i | 1.74016 | − | 0.835077i | ||||
\(280\) | 9.31615 | + | 34.7683i | 0.556746 | + | 2.07781i | ||||
\(281\) | 3.98072 | − | 14.8562i | 0.237470 | − | 0.886249i | −0.739550 | − | 0.673101i | \(-0.764962\pi\) |
0.977020 | − | 0.213148i | \(-0.0683715\pi\) | |||||||
\(282\) | 0.961643 | + | 10.3313i | 0.0572650 | + | 0.615217i | ||||
\(283\) | − | 2.79863i | − | 0.166361i | −0.996534 | − | 0.0831806i | \(-0.973492\pi\) | ||
0.996534 | − | 0.0831806i | \(-0.0265078\pi\) | |||||||
\(284\) | 23.0592 | + | 23.0592i | 1.36831 | + | 1.36831i | ||||
\(285\) | 8.39119 | − | 5.94522i | 0.497051 | − | 0.352164i | ||||
\(286\) | −2.93567 | + | 6.28132i | −0.173590 | + | 0.371422i | ||||
\(287\) | − | 9.53494i | − | 0.562830i | ||||||
\(288\) | 66.5605 | + | 5.07989i | 3.92211 | + | 0.299336i | ||||
\(289\) | 5.65031 | + | 9.78662i | 0.332371 | + | 0.575684i | ||||
\(290\) | 66.3695 | 3.89735 | ||||||||
\(291\) | −1.43723 | + | 1.73225i | −0.0842519 | + | 0.101546i | ||||
\(292\) | 6.33482 | − | 23.6419i | 0.370718 | − | 1.38354i | ||||
\(293\) | 7.55867 | − | 28.2093i | 0.441582 | − | 1.64801i | −0.283223 | − | 0.959054i | \(-0.591404\pi\) |
0.724805 | − | 0.688954i | \(-0.241930\pi\) | |||||||
\(294\) | −1.64522 | − | 4.44336i | −0.0959512 | − | 0.259142i | ||||
\(295\) | −9.05811 | −0.527384 | ||||||||
\(296\) | −7.52482 | − | 13.0334i | −0.437371 | − | 0.757549i | ||||
\(297\) | 1.87873 | + | 3.13249i | 0.109015 | + | 0.181765i | ||||
\(298\) | − | 17.0721i | − | 0.988958i | ||||||
\(299\) | −11.1619 | − | 15.9704i | −0.645511 | − | 0.923590i | ||||
\(300\) | 79.9846 | + | 36.7586i | 4.61791 | + | 2.12226i | ||||
\(301\) | 4.94277 | + | 4.94277i | 0.284897 | + | 0.284897i | ||||
\(302\) | − | 28.4320i | − | 1.63608i | ||||||
\(303\) | 23.3138 | + | 10.7143i | 1.33934 | + | 0.615523i | ||||
\(304\) | −6.14335 | + | 22.9273i | −0.352345 | + | 1.31497i | ||||
\(305\) | −4.27732 | − | 15.9632i | −0.244918 | − | 0.914048i | ||||
\(306\) | 19.5354 | + | 1.49094i | 1.11677 | + | 0.0852316i | ||||
\(307\) | 12.1435 | − | 12.1435i | 0.693066 | − | 0.693066i | −0.269839 | − | 0.962905i | \(-0.586971\pi\) |
0.962905 | + | 0.269839i | \(0.0869705\pi\) | |||||||
\(308\) | − | 3.85460i | − | 0.219636i | ||||||
\(309\) | 12.8426 | − | 27.9447i | 0.730589 | − | 1.58972i | ||||
\(310\) | −78.5228 | + | 78.5228i | −4.45980 | + | 4.45980i | ||||
\(311\) | −0.239843 | + | 0.415420i | −0.0136002 | + | 0.0235563i | −0.872745 | − | 0.488176i | \(-0.837663\pi\) |
0.859145 | + | 0.511732i | \(0.170996\pi\) | |||||||
\(312\) | −59.3064 | − | 4.90911i | −3.35757 | − | 0.277923i | ||||
\(313\) | 6.15942 | + | 10.6684i | 0.348151 | + | 0.603015i | 0.985921 | − | 0.167212i | \(-0.0534764\pi\) |
−0.637770 | + | 0.770227i | \(0.720143\pi\) | |||||||
\(314\) | −35.3400 | − | 9.46932i | −1.99435 | − | 0.534385i | ||||
\(315\) | −10.6910 | − | 3.75742i | −0.602369 | − | 0.211707i | ||||
\(316\) | −33.9678 | − | 19.6113i | −1.91084 | − | 1.10322i | ||||
\(317\) | −17.0303 | − | 4.56327i | −0.956519 | − | 0.256299i | −0.253393 | − | 0.967363i | \(-0.581547\pi\) |
−0.703126 | + | 0.711065i | \(0.748213\pi\) | |||||||
\(318\) | 1.98498 | + | 5.36098i | 0.111312 | + | 0.300629i | ||||
\(319\) | −4.36119 | − | 1.16858i | −0.244180 | − | 0.0654278i | ||||
\(320\) | −111.899 | + | 29.9832i | −6.25534 | + | 1.67611i | ||||
\(321\) | 4.86223 | + | 6.86265i | 0.271383 | + | 0.383036i | ||||
\(322\) | 12.8025 | + | 7.39153i | 0.713456 | + | 0.411914i | ||||
\(323\) | −0.971220 | + | 3.62464i | −0.0540401 | + | 0.201681i | ||||
\(324\) | −30.8754 | + | 38.4992i | −1.71530 | + | 2.13885i | ||||
\(325\) | −30.2745 | − | 14.1492i | −1.67932 | − | 0.784857i | ||||
\(326\) | 38.7225 | − | 22.3565i | 2.14464 | − | 1.23821i | ||||
\(327\) | 8.81506 | − | 10.6245i | 0.487474 | − | 0.587537i | ||||
\(328\) | 90.8595 | 5.01687 | ||||||||
\(329\) | 1.09493 | + | 1.89647i | 0.0603654 | + | 0.104556i | ||||
\(330\) | −9.68260 | − | 8.03356i | −0.533009 | − | 0.442233i | ||||
\(331\) | 4.69721 | + | 4.69721i | 0.258182 | + | 0.258182i | 0.824314 | − | 0.566132i | \(-0.191561\pi\) |
−0.566132 | + | 0.824314i | \(0.691561\pi\) | |||||||
\(332\) | 56.2294 | − | 15.0666i | 3.08599 | − | 0.826889i | ||||
\(333\) | 4.72426 | + | 0.360555i | 0.258888 | + | 0.0197583i | ||||
\(334\) | 27.2864 | − | 47.2615i | 1.49305 | − | 2.58603i | ||||
\(335\) | −11.1576 | + | 19.3255i | −0.609603 | + | 1.05586i | ||||
\(336\) | 24.5281 | − | 9.08188i | 1.33812 | − | 0.495457i | ||||
\(337\) | 28.7065 | + | 16.5737i | 1.56374 | + | 0.902826i | 0.996873 | + | 0.0790172i | \(0.0251782\pi\) |
0.566868 | + | 0.823809i | \(0.308155\pi\) | |||||||
\(338\) | 35.4218 | + | 3.16095i | 1.92669 | + | 0.171933i | ||||
\(339\) | −6.88763 | − | 9.72133i | −0.374085 | − | 0.527990i | ||||
\(340\) | −47.7634 | + | 12.7982i | −2.59033 | + | 0.694078i | ||||
\(341\) | 6.54236 | − | 3.77723i | 0.354289 | − | 0.204549i | ||||
\(342\) | −8.40086 | − | 9.78912i | −0.454267 | − | 0.529335i | ||||
\(343\) | −0.707107 | − | 0.707107i | −0.0381802 | − | 0.0381802i | ||||
\(344\) | −47.1002 | + | 47.1002i | −2.53947 | + | 2.53947i | ||||
\(345\) | 33.1562 | − | 12.2766i | 1.78507 | − | 0.660949i | ||||
\(346\) | −5.41701 | − | 20.2166i | −0.291220 | − | 1.08685i | ||||
\(347\) | −19.9377 | + | 11.5110i | −1.07031 | + | 0.617943i | −0.928266 | − | 0.371917i | \(-0.878701\pi\) |
−0.142043 | + | 0.989860i | \(0.545367\pi\) | |||||||
\(348\) | −5.65366 | − | 60.7391i | −0.303068 | − | 3.25596i | ||||
\(349\) | −2.96939 | − | 11.0819i | −0.158948 | − | 0.593201i | −0.998735 | − | 0.0502854i | \(-0.983987\pi\) |
0.839787 | − | 0.542916i | \(-0.182680\pi\) | |||||||
\(350\) | 25.3545 | 1.35525 | ||||||||
\(351\) | 11.8148 | − | 14.5400i | 0.630625 | − | 0.776088i | ||||
\(352\) | 15.6418 | 0.833710 | ||||||||
\(353\) | −0.599508 | − | 2.23740i | −0.0319086 | − | 0.119085i | 0.948135 | − | 0.317869i | \(-0.102967\pi\) |
−0.980043 | + | 0.198785i | \(0.936301\pi\) | |||||||
\(354\) | 1.05305 | + | 11.3132i | 0.0559688 | + | 0.601291i | ||||
\(355\) | 19.4549 | − | 11.2323i | 1.03256 | − | 0.596148i | ||||
\(356\) | 0.516885 | + | 1.92904i | 0.0273949 | + | 0.102239i | ||||
\(357\) | 3.87771 | − | 1.43578i | 0.205230 | − | 0.0759896i | ||||
\(358\) | −4.54417 | + | 4.54417i | −0.240167 | + | 0.240167i | ||||
\(359\) | 17.5796 | + | 17.5796i | 0.927817 | + | 0.927817i | 0.997565 | − | 0.0697480i | \(-0.0222195\pi\) |
−0.0697480 | + | 0.997565i | \(0.522220\pi\) | |||||||
\(360\) | 35.8049 | − | 101.876i | 1.88708 | − | 5.36932i | ||||
\(361\) | −14.3148 | + | 8.26466i | −0.753411 | + | 0.434982i | ||||
\(362\) | 49.1709 | − | 13.1753i | 2.58437 | − | 0.692479i | ||||
\(363\) | −10.5197 | − | 14.8477i | −0.552141 | − | 0.779303i | ||||
\(364\) | −18.5842 | + | 6.74585i | −0.974077 | + | 0.353578i | ||||
\(365\) | −14.6018 | − | 8.43036i | −0.764294 | − | 0.441265i | ||||
\(366\) | −19.4401 | + | 7.19799i | −1.01615 | + | 0.376245i | ||||
\(367\) | 2.02691 | − | 3.51071i | 0.105804 | − | 0.183258i | −0.808263 | − | 0.588822i | \(-0.799592\pi\) |
0.914066 | + | 0.405565i | \(0.132925\pi\) | |||||||
\(368\) | −40.8025 | + | 70.6719i | −2.12698 | + | 3.68403i | ||||
\(369\) | −16.1461 | + | 23.6123i | −0.840532 | + | 1.22921i | ||||
\(370\) | −15.7636 | + | 4.22384i | −0.819509 | + | 0.219587i | ||||
\(371\) | 0.853134 | + | 0.853134i | 0.0442925 | + | 0.0442925i | ||||
\(372\) | 78.5504 | + | 65.1725i | 4.07265 | + | 3.37904i | ||||
\(373\) | 13.6102 | + | 23.5735i | 0.704707 | + | 1.22059i | 0.966797 | + | 0.255545i | \(0.0822548\pi\) |
−0.262090 | + | 0.965043i | \(0.584412\pi\) | |||||||
\(374\) | 4.59085 | 0.237387 | ||||||||
\(375\) | 17.8318 | − | 21.4921i | 0.920828 | − | 1.10984i | ||||
\(376\) | −18.0717 | + | 10.4337i | −0.931977 | + | 0.538077i | ||||
\(377\) | 1.99835 | + | 23.0717i | 0.102920 | + | 1.18825i | ||||
\(378\) | −3.45000 | + | 13.7895i | −0.177449 | + | 0.709253i | ||||
\(379\) | −1.98792 | + | 7.41903i | −0.102113 | + | 0.381090i | −0.998002 | − | 0.0631884i | \(-0.979873\pi\) |
0.895889 | + | 0.444278i | \(0.146540\pi\) | |||||||
\(380\) | 28.1952 | + | 16.2785i | 1.44639 | + | 0.835071i | ||||
\(381\) | −10.1900 | − | 14.3824i | −0.522051 | − | 0.736833i | ||||
\(382\) | −3.64946 | + | 0.977871i | −0.186723 | + | 0.0500322i | ||||
\(383\) | 0.914556 | + | 0.245055i | 0.0467316 | + | 0.0125217i | 0.282109 | − | 0.959382i | \(-0.408966\pi\) |
−0.235377 | + | 0.971904i | \(0.575633\pi\) | |||||||
\(384\) | 23.6921 | + | 63.9868i | 1.20903 | + | 3.26531i | ||||
\(385\) | −2.56485 | − | 0.687249i | −0.130717 | − | 0.0350254i | ||||
\(386\) | −52.3471 | − | 30.2226i | −2.66440 | − | 1.53829i | ||||
\(387\) | −3.87036 | − | 20.6101i | −0.196741 | − | 1.04767i | ||||
\(388\) | −6.88301 | − | 1.84430i | −0.349432 | − | 0.0936300i | ||||
\(389\) | 16.1169 | + | 27.9152i | 0.817158 | + | 1.41536i | 0.907768 | + | 0.419472i | \(0.137785\pi\) |
−0.0906102 | + | 0.995886i | \(0.528882\pi\) | |||||||
\(390\) | −21.7870 | + | 60.7421i | −1.10323 | + | 3.07579i | ||||
\(391\) | −6.45058 | + | 11.1727i | −0.326220 | + | 0.565030i | ||||
\(392\) | 6.73810 | − | 6.73810i | 0.340325 | − | 0.340325i | ||||
\(393\) | −13.5606 | + | 29.5071i | −0.684043 | + | 1.48844i | ||||
\(394\) | − | 27.4567i | − | 1.38325i | ||||||
\(395\) | −19.1056 | + | 19.1056i | −0.961305 | + | 0.961305i | ||||
\(396\) | −6.52723 | + | 9.54552i | −0.328006 | + | 0.479680i | ||||
\(397\) | −3.20826 | − | 11.9734i | −0.161018 | − | 0.600928i | −0.998515 | − | 0.0544850i | \(-0.982648\pi\) |
0.837496 | − | 0.546443i | \(-0.184018\pi\) | |||||||
\(398\) | −10.0668 | + | 37.5699i | −0.504605 | + | 1.88321i | ||||
\(399\) | −2.47377 | − | 1.13687i | −0.123843 | − | 0.0569149i | ||||
\(400\) | 139.961i | 6.99804i | ||||||||
\(401\) | 0.889692 | + | 0.889692i | 0.0444291 | + | 0.0444291i | 0.728972 | − | 0.684543i | \(-0.239998\pi\) |
−0.684543 | + | 0.728972i | \(0.739998\pi\) | |||||||
\(402\) | 25.4339 | + | 11.6887i | 1.26853 | + | 0.582979i | ||||
\(403\) | −29.6608 | − | 24.9323i | −1.47751 | − | 1.24196i | ||||
\(404\) | 81.2289i | 4.04129i | ||||||||
\(405\) | 20.1125 | + | 27.4086i | 0.999396 | + | 1.36194i | ||||
\(406\) | −8.78519 | − | 15.2164i | −0.436001 | − | 0.755177i | ||||
\(407\) | 1.11021 | 0.0550309 | ||||||||
\(408\) | 13.6817 | + | 36.9512i | 0.677346 | + | 1.82936i | ||||
\(409\) | −3.29224 | + | 12.2868i | −0.162791 | + | 0.607544i | 0.835521 | + | 0.549459i | \(0.185166\pi\) |
−0.998312 | + | 0.0580852i | \(0.981500\pi\) | |||||||
\(410\) | 25.5006 | − | 95.1697i | 1.25939 | − | 4.70010i | ||||
\(411\) | −18.5083 | + | 22.3074i | −0.912945 | + | 1.10034i | ||||
\(412\) | 97.3637 | 4.79677 | ||||||||
\(413\) | 1.19900 | + | 2.07673i | 0.0589990 | + | 0.102189i | ||||
\(414\) | −19.1875 | − | 39.9836i | −0.943016 | − | 1.96509i | ||||
\(415\) | − | 40.1013i | − | 1.96849i | ||||||
\(416\) | −27.3743 | − | 75.4138i | −1.34214 | − | 3.69747i | ||||
\(417\) | −28.7543 | + | 20.3726i | −1.40810 | + | 0.997650i | ||||
\(418\) | −2.13733 | − | 2.13733i | −0.104540 | − | 0.104540i | ||||
\(419\) | − | 27.9666i | − | 1.36626i | −0.730297 | − | 0.683130i | \(-0.760618\pi\) | ||
0.730297 | − | 0.683130i | \(-0.239382\pi\) | |||||||
\(420\) | −3.32495 | − | 35.7211i | −0.162241 | − | 1.74301i | ||||
\(421\) | −5.99285 | + | 22.3656i | −0.292074 | + | 1.09003i | 0.651440 | + | 0.758700i | \(0.274165\pi\) |
−0.943514 | + | 0.331334i | \(0.892501\pi\) | |||||||
\(422\) | 7.44631 | + | 27.7900i | 0.362481 | + | 1.35280i | ||||
\(423\) | 0.499936 | − | 6.55053i | 0.0243077 | − | 0.318498i | ||||
\(424\) | −8.12961 | + | 8.12961i | −0.394809 | + | 0.394809i | ||||
\(425\) | 22.1268i | 1.07331i | ||||||||
\(426\) | −16.2904 | − | 22.9926i | −0.789273 | − | 1.11399i | ||||
\(427\) | −3.09366 | + | 3.09366i | −0.149713 | + | 0.149713i | ||||
\(428\) | −13.3132 | + | 23.0592i | −0.643519 | + | 1.11461i | ||||
\(429\) | 2.50113 | − | 3.60780i | 0.120756 | − | 0.174186i | ||||
\(430\) | 36.1154 | + | 62.5537i | 1.74164 | + | 3.01661i | ||||
\(431\) | −18.6312 | − | 4.99221i | −0.897433 | − | 0.240466i | −0.219519 | − | 0.975608i | \(-0.570449\pi\) |
−0.677913 | + | 0.735142i | \(0.737116\pi\) | |||||||
\(432\) | −76.1201 | − | 19.0445i | −3.66233 | − | 0.916281i | ||||
\(433\) | 17.4891 | + | 10.0973i | 0.840471 | + | 0.485246i | 0.857424 | − | 0.514610i | \(-0.172063\pi\) |
−0.0169534 | + | 0.999856i | \(0.505397\pi\) | |||||||
\(434\) | 28.3966 | + | 7.60886i | 1.36308 | + | 0.365237i | ||||
\(435\) | −41.4237 | − | 7.06743i | −1.98612 | − | 0.338857i | ||||
\(436\) | 42.2161 | + | 11.3118i | 2.02178 | + | 0.541735i | ||||
\(437\) | 8.20477 | − | 2.19846i | 0.392488 | − | 0.105167i | ||||
\(438\) | −8.83167 | + | 19.2172i | −0.421994 | + | 0.918232i | ||||
\(439\) | −10.4036 | − | 6.00650i | −0.496535 | − | 0.286674i | 0.230747 | − | 0.973014i | \(-0.425883\pi\) |
−0.727281 | + | 0.686339i | \(0.759216\pi\) | |||||||
\(440\) | 6.54887 | − | 24.4407i | 0.312205 | − | 1.16517i | ||||
\(441\) | 0.553689 | + | 2.94846i | 0.0263661 | + | 0.140403i | ||||
\(442\) | −8.03434 | − | 22.1339i | −0.382154 | − | 1.05280i | ||||
\(443\) | −16.2883 | + | 9.40406i | −0.773881 | + | 0.446800i | −0.834257 | − | 0.551376i | \(-0.814103\pi\) |
0.0603766 | + | 0.998176i | \(0.480770\pi\) | |||||||
\(444\) | 5.20832 | + | 14.0665i | 0.247176 | + | 0.667566i | ||||
\(445\) | 1.37574 | 0.0652163 | ||||||||
\(446\) | −6.72392 | − | 11.6462i | −0.318387 | − | 0.551462i | ||||
\(447\) | −1.81794 | + | 10.6553i | −0.0859854 | + | 0.503979i | ||||
\(448\) | 21.6860 | + | 21.6860i | 1.02457 | + | 1.02457i | ||||
\(449\) | −3.14327 | + | 0.842238i | −0.148340 | + | 0.0397477i | −0.332225 | − | 0.943200i | \(-0.607799\pi\) |
0.183885 | + | 0.982948i | \(0.441133\pi\) | |||||||
\(450\) | −62.7876 | − | 42.9342i | −2.95984 | − | 2.02394i | ||||
\(451\) | −3.35134 | + | 5.80468i | −0.157808 | + | 0.273332i | ||||
\(452\) | 18.8589 | − | 32.6646i | 0.887050 | − | 1.53642i | ||||
\(453\) | −3.02761 | + | 17.7455i | −0.142250 | + | 0.833757i | ||||
\(454\) | −28.3491 | − | 16.3674i | −1.33049 | − | 0.768159i | ||||
\(455\) | 1.17524 | + | 13.5686i | 0.0550961 | + | 0.636108i | ||||
\(456\) | 10.8334 | − | 23.5728i | 0.507321 | − | 1.10390i | ||||
\(457\) | 38.2402 | − | 10.2464i | 1.78880 | − | 0.479308i | 0.796659 | − | 0.604429i | \(-0.206599\pi\) |
0.992141 | + | 0.125121i | \(0.0399320\pi\) | |||||||
\(458\) | 9.39164 | − | 5.42227i | 0.438843 | − | 0.253366i | ||||
\(459\) | −12.0340 | − | 3.01081i | −0.561701 | − | 0.140532i | ||||
\(460\) | 79.1475 | + | 79.1475i | 3.69027 | + | 3.69027i | ||||
\(461\) | −8.56819 | + | 8.56819i | −0.399060 | + | 0.399060i | −0.877902 | − | 0.478841i | \(-0.841057\pi\) |
0.478841 | + | 0.877902i | \(0.341057\pi\) | |||||||
\(462\) | −0.560172 | + | 3.28329i | −0.0260616 | + | 0.152753i | ||||
\(463\) | −9.67281 | − | 36.0994i | −0.449534 | − | 1.67768i | −0.703680 | − | 0.710517i | \(-0.748461\pi\) |
0.254147 | − | 0.967166i | \(-0.418205\pi\) | |||||||
\(464\) | 83.9969 | − | 48.4957i | 3.89946 | − | 2.25135i | ||||
\(465\) | 57.3707 | − | 40.6475i | 2.66050 | − | 1.88498i | ||||
\(466\) | 5.08375 | + | 18.9728i | 0.235500 | + | 0.878899i | ||||
\(467\) | 27.6646 | 1.28016 | 0.640082 | − | 0.768307i | \(-0.278901\pi\) | ||||
0.640082 | + | 0.768307i | \(0.278901\pi\) | |||||||
\(468\) | 57.4450 | + | 14.7644i | 2.65540 | + | 0.682484i | ||||
\(469\) | 5.90761 | 0.272788 | ||||||||
\(470\) | 5.85666 | + | 21.8573i | 0.270147 | + | 1.00820i | ||||
\(471\) | 21.0487 | + | 9.67338i | 0.969872 | + | 0.445726i | ||||
\(472\) | −19.7894 | + | 11.4254i | −0.910881 | + | 0.525898i | ||||
\(473\) | −1.27178 | − | 4.74635i | −0.0584765 | − | 0.218237i | ||||
\(474\) | 26.0832 | + | 21.6410i | 1.19804 | + | 0.994004i | ||||
\(475\) | 10.3014 | − | 10.3014i | 0.472662 | − | 0.472662i | ||||
\(476\) | 9.25654 | + | 9.25654i | 0.424273 | + | 0.424273i | ||||
\(477\) | −0.668033 | − | 3.55736i | −0.0305871 | − | 0.162880i | ||||
\(478\) | 13.4463 | − | 7.76324i | 0.615020 | − | 0.355082i | ||||
\(479\) | 27.7921 | − | 7.44686i | 1.26985 | − | 0.340256i | 0.439878 | − | 0.898058i | \(-0.355022\pi\) |
0.829974 | + | 0.557802i | \(0.188355\pi\) | |||||||
\(480\) | 144.954 | − | 13.4925i | 6.61623 | − | 0.615845i | ||||
\(481\) | −1.94294 | − | 5.35264i | −0.0885907 | − | 0.244059i | ||||
\(482\) | −43.1619 | − | 24.9195i | −1.96597 | − | 1.13505i | ||||
\(483\) | −7.20344 | − | 5.97662i | −0.327768 | − | 0.271946i | ||||
\(484\) | 28.8039 | − | 49.8898i | 1.30927 | − | 2.26772i | ||||
\(485\) | −2.45439 | + | 4.25112i | −0.111448 | + | 0.193033i | ||||
\(486\) | 31.8941 | − | 28.3061i | 1.44674 | − | 1.28399i | ||||
\(487\) | 36.3509 | − | 9.74018i | 1.64721 | − | 0.441370i | 0.688384 | − | 0.725347i | \(-0.258321\pi\) |
0.958831 | + | 0.283977i | \(0.0916540\pi\) | |||||||
\(488\) | −29.4798 | − | 29.4798i | −1.33449 | − | 1.33449i | ||||
\(489\) | −26.5488 | + | 9.83010i | −1.20058 | + | 0.444533i | ||||
\(490\) | −5.16663 | − | 8.94886i | −0.233404 | − | 0.404268i | ||||
\(491\) | −7.67459 | −0.346349 | −0.173175 | − | 0.984891i | \(-0.555402\pi\) | ||||
−0.173175 | + | 0.984891i | \(0.555402\pi\) | |||||||
\(492\) | −89.2683 | − | 15.2303i | −4.02453 | − | 0.686637i | ||||
\(493\) | 13.2793 | − | 7.66682i | 0.598071 | − | 0.345296i | ||||
\(494\) | −6.56424 | + | 14.0452i | −0.295339 | + | 0.631924i | ||||
\(495\) | 5.18781 | + | 6.04511i | 0.233175 | + | 0.271708i | ||||
\(496\) | −42.0021 | + | 156.754i | −1.88595 | + | 7.03847i | ||||
\(497\) | −5.15040 | − | 2.97358i | −0.231027 | − | 0.133384i | ||||
\(498\) | −50.0849 | + | 4.66195i | −2.24436 | + | 0.208907i | ||||
\(499\) | 18.7746 | − | 5.03063i | 0.840465 | − | 0.225202i | 0.187191 | − | 0.982324i | \(-0.440062\pi\) |
0.653274 | + | 0.757122i | \(0.273395\pi\) | |||||||
\(500\) | 85.3978 | + | 22.8823i | 3.81911 | + | 1.02333i | ||||
\(501\) | −22.0632 | + | 26.5921i | −0.985710 | + | 1.18805i | ||||
\(502\) | 17.4257 | + | 4.66921i | 0.777748 | + | 0.208397i | ||||
\(503\) | −5.30495 | − | 3.06281i | −0.236536 | − | 0.136564i | 0.377048 | − | 0.926194i | \(-0.376939\pi\) |
−0.613584 | + | 0.789630i | \(0.710273\pi\) | |||||||
\(504\) | −28.0962 | + | 5.27616i | −1.25151 | + | 0.235019i | ||||
\(505\) | 54.0496 | + | 14.4825i | 2.40517 | + | 0.644465i | ||||
\(506\) | −5.19595 | − | 8.99964i | −0.230988 | − | 0.400083i | ||||
\(507\) | −21.7715 | − | 5.74479i | −0.966905 | − | 0.255135i | ||||
\(508\) | 27.9012 | − | 48.3263i | 1.23792 | − | 2.14413i | ||||
\(509\) | −18.1227 | + | 18.1227i | −0.803277 | + | 0.803277i | −0.983606 | − | 0.180330i | \(-0.942284\pi\) |
0.180330 | + | 0.983606i | \(0.442284\pi\) | |||||||
\(510\) | 42.5440 | − | 3.96004i | 1.88388 | − | 0.175353i | ||||
\(511\) | 4.46363i | 0.197460i | ||||||||
\(512\) | −34.0960 | + | 34.0960i | −1.50684 | + | 1.50684i | ||||
\(513\) | 4.20089 | + | 7.00434i | 0.185474 | + | 0.309249i | ||||
\(514\) | −1.94685 | − | 7.26573i | −0.0858717 | − | 0.320477i | ||||
\(515\) | 17.3593 | − | 64.7857i | 0.764941 | − | 2.85480i | ||||
\(516\) | 54.1706 | − | 38.3802i | 2.38473 | − | 1.68959i | ||||
\(517\) | − | 1.53938i | − | 0.0677019i | ||||||
\(518\) | 3.05498 | + | 3.05498i | 0.134228 | + | 0.134228i | ||||
\(519\) | 1.22818 | + | 13.1948i | 0.0539112 | + | 0.579186i | ||||
\(520\) | −129.297 | + | 11.1990i | −5.67005 | + | 0.491109i | ||||
\(521\) | 19.6433i | 0.860589i | 0.902688 | + | 0.430295i | \(0.141590\pi\) | ||||
−0.902688 | + | 0.430295i | \(0.858410\pi\) | |||||||
\(522\) | −4.01125 | + | 52.5583i | −0.175567 | + | 2.30041i | ||||
\(523\) | −10.5402 | − | 18.2562i | −0.460891 | − | 0.798286i | 0.538115 | − | 0.842872i | \(-0.319137\pi\) |
−0.999006 | + | 0.0445852i | \(0.985803\pi\) | |||||||
\(524\) | −102.807 | −4.49116 | ||||||||
\(525\) | −15.8247 | − | 2.69990i | −0.690646 | − | 0.117833i | ||||
\(526\) | −2.18867 | + | 8.16825i | −0.0954308 | + | 0.356152i | ||||
\(527\) | −6.64024 | + | 24.7817i | −0.289253 | + | 1.07951i | ||||
\(528\) | −18.1243 | − | 3.09224i | −0.788759 | − | 0.134573i | ||||
\(529\) | 6.20318 | 0.269704 | ||||||||
\(530\) | 6.23361 | + | 10.7969i | 0.270771 | + | 0.468989i | ||||
\(531\) | 0.547455 | − | 7.17315i | 0.0237575 | − | 0.311288i | ||||
\(532\) | − | 8.61901i | − | 0.373681i | ||||||
\(533\) | 33.8512 | + | 5.99917i | 1.46626 | + | 0.259853i | ||||
\(534\) | −0.159936 | − | 1.71825i | −0.00692110 | − | 0.0743557i | ||||
\(535\) | 12.9699 | + | 12.9699i | 0.560737 | + | 0.560737i | ||||
\(536\) | 56.2942i | 2.43154i | ||||||||
\(537\) | 3.32008 | − | 2.35230i | 0.143272 | − | 0.101509i | ||||
\(538\) | 3.15258 | − | 11.7656i | 0.135917 | − | 0.507250i | ||||
\(539\) | 0.181939 | + | 0.679006i | 0.00783668 | + | 0.0292469i | ||||
\(540\) | −52.2548 | + | 94.0899i | −2.24869 | + | 4.04898i | ||||
\(541\) | −14.2539 | + | 14.2539i | −0.612825 | + | 0.612825i | −0.943681 | − | 0.330856i | \(-0.892662\pi\) |
0.330856 | + | 0.943681i | \(0.392662\pi\) | |||||||
\(542\) | 51.2603i | 2.20182i | ||||||||
\(543\) | −32.0924 | + | 2.98719i | −1.37722 | + | 0.128193i | ||||
\(544\) | −37.5626 | + | 37.5626i | −1.61048 | + | 1.61048i | ||||
\(545\) | 15.0537 | − | 26.0737i | 0.644828 | − | 1.11687i | ||||
\(546\) | 16.8101 | − | 3.04525i | 0.719405 | − | 0.130325i | ||||
\(547\) | −5.49890 | − | 9.52437i | −0.235116 | − | 0.407233i | 0.724190 | − | 0.689600i | \(-0.242214\pi\) |
−0.959306 | + | 0.282367i | \(0.908880\pi\) | |||||||
\(548\) | −88.6376 | − | 23.7504i | −3.78641 | − | 1.01457i | ||||
\(549\) | 12.8998 | − | 2.42244i | 0.550550 | − | 0.103387i | ||||
\(550\) | −15.4353 | − | 8.91157i | −0.658163 | − | 0.379991i | ||||
\(551\) | −9.75176 | − | 2.61298i | −0.415439 | − | 0.111317i | ||||
\(552\) | 56.9519 | − | 68.6423i | 2.42403 | − | 2.92161i | ||||
\(553\) | 6.90925 | + | 1.85133i | 0.293811 | + | 0.0787265i | ||||
\(554\) | 8.53006 | − | 2.28562i | 0.362408 | − | 0.0971068i | ||||
\(555\) | 10.2884 | − | 0.957656i | 0.436719 | − | 0.0406503i | ||||
\(556\) | −96.6172 | − | 55.7820i | −4.09748 | − | 2.36568i | ||||
\(557\) | −5.05658 | + | 18.8714i | −0.214254 | + | 0.799607i | 0.772174 | + | 0.635412i | \(0.219170\pi\) |
−0.986428 | + | 0.164196i | \(0.947497\pi\) | |||||||
\(558\) | −57.4367 | − | 66.9283i | −2.43149 | − | 2.83330i | ||||
\(559\) | −20.6579 | + | 14.4381i | −0.873734 | + | 0.610666i | ||||
\(560\) | 49.3992 | − | 28.5206i | 2.08750 | − | 1.20522i | ||||
\(561\) | −2.86532 | − | 0.488862i | −0.120974 | − | 0.0206398i | ||||
\(562\) | −42.0741 | −1.77479 | ||||||||
\(563\) | 8.37041 | + | 14.4980i | 0.352771 | + | 0.611017i | 0.986734 | − | 0.162347i | \(-0.0519063\pi\) |
−0.633963 | + | 0.773363i | \(0.718573\pi\) | |||||||
\(564\) | 19.5042 | − | 7.22172i | 0.821275 | − | 0.304089i | ||||
\(565\) | −18.3726 | − | 18.3726i | −0.772940 | − | 0.772940i | ||||
\(566\) | −7.39501 | + | 1.98149i | −0.310835 | + | 0.0832881i | ||||
\(567\) | 3.62166 | − | 8.23915i | 0.152095 | − | 0.346012i | ||||
\(568\) | 28.3356 | − | 49.0787i | 1.18894 | − | 2.05930i | ||||
\(569\) | 3.85597 | − | 6.67873i | 0.161651 | − | 0.279987i | −0.773810 | − | 0.633418i | \(-0.781652\pi\) |
0.935461 | + | 0.353431i | \(0.114985\pi\) | |||||||
\(570\) | −21.6506 | − | 17.9633i | −0.906843 | − | 0.752399i | ||||
\(571\) | 13.6260 | + | 7.86697i | 0.570230 | + | 0.329223i | 0.757241 | − | 0.653135i | \(-0.226547\pi\) |
−0.187011 | + | 0.982358i | \(0.559880\pi\) | |||||||
\(572\) | 13.6847 | + | 2.42523i | 0.572187 | + | 0.101404i | ||||
\(573\) | 2.38190 | − | 0.221709i | 0.0995052 | − | 0.00926204i | ||||
\(574\) | −25.1948 | + | 6.75093i | −1.05161 | + | 0.281778i | ||||
\(575\) | 43.3761 | − | 25.0432i | 1.80891 | − | 1.04437i | ||||
\(576\) | −16.9809 | − | 90.4254i | −0.707537 | − | 3.76772i | ||||
\(577\) | 0.276174 | + | 0.276174i | 0.0114973 | + | 0.0114973i | 0.712832 | − | 0.701335i | \(-0.247412\pi\) |
−0.701335 | + | 0.712832i | \(0.747412\pi\) | |||||||
\(578\) | 21.8593 | − | 21.8593i | 0.909228 | − | 0.909228i | ||||
\(579\) | 29.4536 | + | 24.4373i | 1.22405 | + | 1.01558i | ||||
\(580\) | −34.4322 | − | 128.503i | −1.42972 | − | 5.33579i | ||||
\(581\) | −9.19392 | + | 5.30811i | −0.381428 | + | 0.220218i | ||||
\(582\) | 5.59482 | + | 2.57122i | 0.231913 | + | 0.106581i | ||||
\(583\) | −0.219512 | − | 0.819231i | −0.00909127 | − | 0.0339291i | ||||
\(584\) | −42.5345 | −1.76009 | ||||||||
\(585\) | 20.0662 | − | 35.5914i | 0.829637 | − | 1.47152i | ||||
\(586\) | −79.8911 | −3.30027 | ||||||||
\(587\) | 0.601024 | + | 2.24305i | 0.0248069 | + | 0.0925806i | 0.977219 | − | 0.212231i | \(-0.0680730\pi\) |
−0.952413 | + | 0.304812i | \(0.901406\pi\) | |||||||
\(588\) | −7.74958 | + | 5.49063i | −0.319587 | + | 0.226430i | ||||
\(589\) | 14.6289 | − | 8.44601i | 0.602774 | − | 0.348012i | ||||
\(590\) | 6.41332 | + | 23.9349i | 0.264032 | + | 0.985382i | ||||
\(591\) | −2.92376 | + | 17.1368i | −0.120267 | + | 0.704913i | ||||
\(592\) | −16.8640 | + | 16.8640i | −0.693105 | + | 0.693105i | ||||
\(593\) | 19.4500 | + | 19.4500i | 0.798715 | + | 0.798715i | 0.982893 | − | 0.184178i | \(-0.0589622\pi\) |
−0.184178 | + | 0.982893i | \(0.558962\pi\) | |||||||
\(594\) | 6.94700 | − | 7.18215i | 0.285039 | − | 0.294687i | ||||
\(595\) | 7.80966 | − | 4.50891i | 0.320165 | − | 0.184847i | ||||
\(596\) | −33.0545 | + | 8.85692i | −1.35396 | + | 0.362793i | ||||
\(597\) | 10.2838 | − | 22.3768i | 0.420886 | − | 0.915823i | ||||
\(598\) | −34.2967 | + | 40.8013i | −1.40250 | + | 1.66849i | ||||
\(599\) | 29.9112 | + | 17.2693i | 1.22214 | + | 0.705603i | 0.965374 | − | 0.260870i | \(-0.0840095\pi\) |
0.256766 | + | 0.966473i | \(0.417343\pi\) | |||||||
\(600\) | 25.7276 | − | 150.795i | 1.05032 | − | 6.15618i | ||||
\(601\) | −14.0149 | + | 24.2745i | −0.571678 | + | 0.990176i | 0.424716 | + | 0.905327i | \(0.360374\pi\) |
−0.996394 | + | 0.0848489i | \(0.972959\pi\) | |||||||
\(602\) | 9.56103 | − | 16.5602i | 0.389679 | − | 0.674943i | ||||
\(603\) | −14.6296 | − | 10.0037i | −0.595762 | − | 0.407383i | ||||
\(604\) | −55.0493 | + | 14.7504i | −2.23993 | + | 0.600186i | ||||
\(605\) | −28.0610 | − | 28.0610i | −1.14084 | − | 1.14084i | ||||
\(606\) | 11.8046 | − | 69.1895i | 0.479530 | − | 2.81063i | ||||
\(607\) | 2.95070 | + | 5.11076i | 0.119765 | + | 0.207439i | 0.919675 | − | 0.392681i | \(-0.128452\pi\) |
−0.799909 | + | 0.600121i | \(0.795119\pi\) | |||||||
\(608\) | 34.9755 | 1.41844 | ||||||||
\(609\) | 3.86284 | + | 10.4326i | 0.156530 | + | 0.422751i | ||||
\(610\) | −39.1521 | + | 22.6045i | −1.58522 | + | 0.915229i | ||||
\(611\) | −7.42183 | + | 2.69403i | −0.300255 | + | 0.108989i | ||||
\(612\) | −7.24818 | − | 38.5975i | −0.292990 | − | 1.56021i | ||||
\(613\) | −1.24896 | + | 4.66119i | −0.0504451 | + | 0.188264i | −0.986551 | − | 0.163455i | \(-0.947736\pi\) |
0.936106 | + | 0.351719i | \(0.114403\pi\) | |||||||
\(614\) | −40.6854 | − | 23.4897i | −1.64193 | − | 0.947969i | ||||
\(615\) | −26.0502 | + | 56.6836i | −1.05044 | + | 2.28570i | ||||
\(616\) | −6.47033 | + | 1.73372i | −0.260697 | + | 0.0698535i | ||||
\(617\) | −7.13205 | − | 1.91103i | −0.287125 | − | 0.0769350i | 0.112382 | − | 0.993665i | \(-0.464152\pi\) |
−0.399507 | + | 0.916730i | \(0.630819\pi\) | |||||||
\(618\) | −82.9329 | − | 14.1494i | −3.33605 | − | 0.569174i | ||||
\(619\) | −20.8380 | − | 5.58351i | −0.837548 | − | 0.224420i | −0.185544 | − | 0.982636i | \(-0.559405\pi\) |
−0.652004 | + | 0.758216i | \(0.726071\pi\) | |||||||
\(620\) | 192.771 | + | 111.296i | 7.74187 | + | 4.46977i | ||||
\(621\) | 7.71797 | + | 26.9985i | 0.309712 | + | 1.08341i | ||||
\(622\) | 1.26751 | + | 0.339627i | 0.0508223 | + | 0.0136178i | ||||
\(623\) | −0.182104 | − | 0.315413i | −0.00729582 | − | 0.0126367i | ||||
\(624\) | 16.8103 | + | 92.7944i | 0.672949 | + | 3.71475i | ||||
\(625\) | 7.28064 | − | 12.6104i | 0.291226 | − | 0.504418i | ||||
\(626\) | 23.8289 | − | 23.8289i | 0.952395 | − | 0.952395i | ||||
\(627\) | 1.10639 | + | 1.56159i | 0.0441851 | + | 0.0623638i | ||||
\(628\) | 73.3369i | 2.92646i | ||||||||
\(629\) | −2.66608 | + | 2.66608i | −0.106303 | + | 0.106303i | ||||
\(630\) | −2.35904 | + | 30.9099i | −0.0939864 | + | 1.23148i | ||||
\(631\) | −11.4840 | − | 42.8589i | −0.457171 | − | 1.70619i | −0.681625 | − | 0.731701i | \(-0.738727\pi\) |
0.224454 | − | 0.974485i | \(-0.427940\pi\) | |||||||
\(632\) | −17.6415 | + | 65.8390i | −0.701741 | + | 2.61893i | ||||
\(633\) | −1.68828 | − | 18.1377i | −0.0671030 | − | 0.720910i | ||||
\(634\) | 48.2313i | 1.91551i | ||||||||
\(635\) | −27.1816 | − | 27.1816i | −1.07867 | − | 1.07867i | ||||
\(636\) | 9.34998 | − | 6.62452i | 0.370751 | − | 0.262679i | ||||
\(637\) | 2.95529 | − | 2.06550i | 0.117093 | − | 0.0818379i | ||||
\(638\) | 12.3513i | 0.488991i | ||||||||
\(639\) | 7.71907 | + | 16.0853i | 0.305362 | + | 0.636323i | ||||
\(640\) | 74.4023 | + | 128.868i | 2.94101 | + | 5.09397i | ||||
\(641\) | 0.316437 | 0.0124985 | 0.00624925 | − | 0.999980i | \(-0.498011\pi\) | ||||
0.00624925 | + | 0.999980i | \(0.498011\pi\) | |||||||
\(642\) | 14.6911 | − | 17.7067i | 0.579811 | − | 0.698828i | ||||
\(643\) | 2.81716 | − | 10.5138i | 0.111098 | − | 0.414623i | −0.887868 | − | 0.460099i | \(-0.847814\pi\) |
0.998965 | + | 0.0454763i | \(0.0144806\pi\) | |||||||
\(644\) | 7.66939 | − | 28.6226i | 0.302216 | − | 1.12789i | ||||
\(645\) | −15.8799 | − | 42.8879i | −0.625271 | − | 1.68871i | ||||
\(646\) | 10.2653 | 0.403882 | ||||||||
\(647\) | 1.93256 | + | 3.34729i | 0.0759768 | + | 0.131596i | 0.901511 | − | 0.432757i | \(-0.142459\pi\) |
−0.825534 | + | 0.564353i | \(0.809126\pi\) | |||||||
\(648\) | 78.5118 | + | 34.5112i | 3.08423 | + | 1.35573i | ||||
\(649\) | − | 1.68570i | − | 0.0661695i | ||||||
\(650\) | −15.9525 | + | 90.0142i | −0.625707 | + | 3.53065i | ||||
\(651\) | −16.9132 | − | 7.77282i | −0.662880 | − | 0.304641i | ||||
\(652\) | −63.3750 | − | 63.3750i | −2.48196 | − | 2.48196i | ||||
\(653\) | 0.877160i | 0.0343259i | 0.999853 | + | 0.0171630i | \(0.00546341\pi\) | ||||
−0.999853 | + | 0.0171630i | \(0.994537\pi\) | |||||||
\(654\) | −34.3151 | − | 15.7703i | −1.34183 | − | 0.616666i | ||||
\(655\) | −18.3298 | + | 68.4079i | −0.716206 | + | 2.67292i | ||||
\(656\) | −37.2662 | − | 139.079i | −1.45500 | − | 5.43014i | ||||
\(657\) | 7.55854 | − | 11.0537i | 0.294887 | − | 0.431247i | ||||
\(658\) | 4.23595 | − | 4.23595i | 0.165134 | − | 0.165134i | ||||
\(659\) | − | 0.842461i | − | 0.0328176i | −0.999865 | − | 0.0164088i | \(-0.994777\pi\) | ||
0.999865 | − | 0.0164088i | \(-0.00522332\pi\) | |||||||
\(660\) | −10.5311 | + | 22.9150i | −0.409921 | + | 0.891963i | ||||
\(661\) | 29.9372 | − | 29.9372i | 1.16442 | − | 1.16442i | 0.180924 | − | 0.983497i | \(-0.442091\pi\) |
0.983497 | − | 0.180924i | \(-0.0579087\pi\) | |||||||
\(662\) | 9.08603 | − | 15.7375i | 0.353139 | − | 0.611654i | ||||
\(663\) | 2.65758 | + | 14.6701i | 0.103212 | + | 0.569741i | ||||
\(664\) | −50.5816 | − | 87.6099i | −1.96295 | − | 3.39992i | ||||
\(665\) | −5.73508 | − | 1.53671i | −0.222397 | − | 0.0595910i | ||||
\(666\) | −2.39215 | − | 12.7385i | −0.0926940 | − | 0.493607i | ||||
\(667\) | −30.0592 | − | 17.3547i | −1.16390 | − | 0.671976i | ||||
\(668\) | −105.662 | − | 28.3122i | −4.08820 | − | 1.09543i | ||||
\(669\) | 2.95650 | + | 7.98482i | 0.114305 | + | 0.308711i | ||||
\(670\) | 58.9647 | + | 15.7996i | 2.27801 | + | 0.610390i | ||||
\(671\) | 2.97072 | − | 0.796001i | 0.114683 | − | 0.0307293i | ||||
\(672\) | −22.2807 | − | 31.4474i | −0.859496 | − | 1.21311i | ||||
\(673\) | −1.45635 | − | 0.840824i | −0.0561382 | − | 0.0324114i | 0.471668 | − | 0.881776i | \(-0.343652\pi\) |
−0.527806 | + | 0.849365i | \(0.676985\pi\) | |||||||
\(674\) | 23.4690 | − | 87.5875i | 0.903992 | − | 3.37375i | ||||
\(675\) | 34.6163 | + | 33.4829i | 1.33238 | + | 1.28876i | ||||
\(676\) | −12.2565 | − | 70.2226i | −0.471405 | − | 2.70087i | ||||
\(677\) | 25.1404 | − | 14.5148i | 0.966222 | − | 0.557849i | 0.0681398 | − | 0.997676i | \(-0.478294\pi\) |
0.898082 | + | 0.439827i | \(0.144960\pi\) | |||||||
\(678\) | −20.8108 | + | 25.0825i | −0.799232 | + | 0.963289i | ||||
\(679\) | 1.29953 | 0.0498712 | ||||||||
\(680\) | 42.9659 | + | 74.4191i | 1.64767 | + | 2.85384i | ||||
\(681\) | 15.9509 | + | 13.2343i | 0.611238 | + | 0.507139i | ||||
\(682\) | −14.6130 | − | 14.6130i | −0.559559 | − | 0.559559i | ||||
\(683\) | −17.7934 | + | 4.76772i | −0.680844 | + | 0.182432i | −0.582635 | − | 0.812734i | \(-0.697978\pi\) |
−0.0982093 | + | 0.995166i | \(0.531311\pi\) | |||||||
\(684\) | −14.5951 | + | 21.3441i | −0.558057 | + | 0.816111i | ||||
\(685\) | −31.6069 | + | 54.7448i | −1.20764 | + | 2.09169i | ||||
\(686\) | −1.36779 | + | 2.36908i | −0.0522225 | + | 0.0904520i | ||||
\(687\) | −6.43908 | + | 2.38416i | −0.245666 | + | 0.0909615i | ||||
\(688\) | 91.4150 | + | 52.7785i | 3.48516 | + | 2.01216i | ||||
\(689\) | −3.56560 | + | 2.49205i | −0.135838 | + | 0.0949396i | ||||
\(690\) | −55.9145 | − | 78.9188i | −2.12863 | − | 3.00439i | ||||
\(691\) | 35.7122 | − | 9.56904i | 1.35855 | − | 0.364024i | 0.495269 | − | 0.868740i | \(-0.335069\pi\) |
0.863285 | + | 0.504716i | \(0.168403\pi\) | |||||||
\(692\) | −36.3324 | + | 20.9765i | −1.38115 | + | 0.797408i | ||||
\(693\) | 0.699249 | − | 1.98958i | 0.0265623 | − | 0.0755778i | ||||
\(694\) | 44.5326 | + | 44.5326i | 1.69043 | + | 1.69043i | ||||
\(695\) | −54.3434 | + | 54.3434i | −2.06136 | + | 2.06136i | ||||
\(696\) | −99.4136 | + | 36.8094i | −3.76826 | + | 1.39526i | ||||
\(697\) | −5.89153 | − | 21.9875i | −0.223158 | − | 0.832835i | ||||
\(698\) | −27.1801 | + | 15.6924i | −1.02878 | + | 0.593967i | ||||
\(699\) | −1.15262 | − | 12.3830i | −0.0435962 | − | 0.468368i | ||||
\(700\) | −13.1538 | − | 49.0906i | −0.497166 | − | 1.85545i | ||||
\(701\) | −12.8606 | −0.485736 | −0.242868 | − | 0.970059i | \(-0.578088\pi\) | ||||
−0.242868 | + | 0.970059i | \(0.578088\pi\) | |||||||
\(702\) | −46.7851 | − | 20.9243i | −1.76579 | − | 0.789737i | ||||
\(703\) | 2.48246 | 0.0936276 | ||||||||
\(704\) | −5.57983 | − | 20.8242i | −0.210298 | − | 0.784842i | ||||
\(705\) | −1.32786 | − | 14.2656i | −0.0500101 | − | 0.537275i | ||||
\(706\) | −5.48756 | + | 3.16824i | −0.206527 | + | 0.119238i | ||||
\(707\) | −3.83404 | − | 14.3088i | −0.144194 | − | 0.538140i | ||||
\(708\) | 21.3581 | − | 7.90814i | 0.802685 | − | 0.297206i | ||||
\(709\) | −19.7345 | + | 19.7345i | −0.741143 | + | 0.741143i | −0.972798 | − | 0.231655i | \(-0.925586\pi\) |
0.231655 | + | 0.972798i | \(0.425586\pi\) | |||||||
\(710\) | −43.4543 | − | 43.4543i | −1.63081 | − | 1.63081i | ||||
\(711\) | −13.9751 | − | 16.2845i | −0.524106 | − | 0.610715i | ||||
\(712\) | 3.00560 | − | 1.73528i | 0.112640 | − | 0.0650325i | ||||
\(713\) | 56.0961 | − | 15.0309i | 2.10082 | − | 0.562912i | ||||
\(714\) | −6.53936 | − | 9.22978i | −0.244730 | − | 0.345416i | ||||
\(715\) | 4.05364 | − | 8.67340i | 0.151597 | − | 0.324367i | ||||
\(716\) | 11.1558 | + | 6.44080i | 0.416912 | + | 0.240704i | ||||
\(717\) | −9.21904 | + | 3.41349i | −0.344291 | + | 0.127479i | ||||
\(718\) | 34.0051 | − | 58.8985i | 1.26906 | − | 2.19807i | ||||
\(719\) | −22.0060 | + | 38.1154i | −0.820684 | + | 1.42147i | 0.0844901 | + | 0.996424i | \(0.473074\pi\) |
−0.905174 | + | 0.425042i | \(0.860259\pi\) | |||||||
\(720\) | −170.628 | − | 13.0223i | −6.35891 | − | 0.485312i | ||||
\(721\) | −17.1511 | + | 4.59562i | −0.638739 | + | 0.171150i | ||||
\(722\) | 31.9735 | + | 31.9735i | 1.18993 | + | 1.18993i | ||||
\(723\) | 24.2854 | + | 20.1494i | 0.903184 | + | 0.749363i | ||||
\(724\) | −51.0193 | − | 88.3681i | −1.89612 | − | 3.28417i | ||||
\(725\) | −59.5301 | −2.21089 | ||||||||
\(726\) | −31.7849 | + | 38.3094i | −1.17965 | + | 1.42179i | ||||
\(727\) | −28.0154 | + | 16.1747i | −1.03903 | + | 0.599886i | −0.919559 | − | 0.392952i | \(-0.871454\pi\) |
−0.119473 | + | 0.992837i | \(0.538121\pi\) | |||||||
\(728\) | 19.6823 | + | 28.1613i | 0.729476 | + | 1.04373i | ||||
\(729\) | −22.9205 | + | 14.2706i | −0.848908 | + | 0.528541i | ||||
\(730\) | −11.9377 | + | 44.5522i | −0.441835 | + | 1.64895i | ||||
\(731\) | 14.4521 | + | 8.34390i | 0.534529 | + | 0.308610i | ||||
\(732\) | 24.0220 | + | 33.9051i | 0.887879 | + | 1.25317i | ||||
\(733\) | −8.68030 | + | 2.32588i | −0.320614 | + | 0.0859083i | −0.415537 | − | 0.909576i | \(-0.636406\pi\) |
0.0949227 | + | 0.995485i | \(0.469740\pi\) | |||||||
\(734\) | −10.7117 | − | 2.87018i | −0.395375 | − | 0.105940i | ||||
\(735\) | 2.27176 | + | 6.13550i | 0.0837951 | + | 0.226311i | ||||
\(736\) | 116.149 | + | 31.1220i | 4.28131 | + | 1.14717i | ||||
\(737\) | −3.59644 | − | 2.07640i | −0.132476 | − | 0.0764853i | ||||
\(738\) | 73.8240 | + | 25.9459i | 2.71750 | + | 0.955083i | ||||
\(739\) | 2.09418 | + | 0.561133i | 0.0770356 | + | 0.0206416i | 0.297131 | − | 0.954837i | \(-0.403970\pi\) |
−0.220095 | + | 0.975478i | \(0.570637\pi\) | |||||||
\(740\) | 16.3562 | + | 28.3297i | 0.601264 | + | 1.04142i | ||||
\(741\) | 5.59261 | − | 8.06716i | 0.205450 | − | 0.296354i | ||||
\(742\) | 1.65026 | − | 2.85833i | 0.0605829 | − | 0.104933i | ||||
\(743\) | 28.8410 | − | 28.8410i | 1.05807 | − | 1.05807i | 0.0598665 | − | 0.998206i | \(-0.480932\pi\) |
0.998206 | − | 0.0598665i | \(-0.0190675\pi\) | |||||||
\(744\) | 74.0681 | − | 161.168i | 2.71547 | − | 5.90869i | ||||
\(745\) | 23.5735i | 0.863667i | ||||||||
\(746\) | 52.6535 | − | 52.6535i | 1.92778 | − | 1.92778i | ||||
\(747\) | 31.7563 | + | 2.42364i | 1.16190 | + | 0.0886764i | ||||
\(748\) | −2.38172 | − | 8.88868i | −0.0870841 | − | 0.325002i | ||||
\(749\) | 1.25678 | − | 4.69037i | 0.0459218 | − | 0.171383i | ||||
\(750\) | −69.4151 | − | 31.9012i | −2.53468 | − | 1.16487i | ||||
\(751\) | − | 9.20713i | − | 0.335973i | −0.985789 | − | 0.167986i | \(-0.946274\pi\) | ||
0.985789 | − | 0.167986i | \(-0.0537265\pi\) | |||||||
\(752\) | 23.3831 | + | 23.3831i | 0.852695 | + | 0.852695i | ||||
\(753\) | −10.3789 | − | 4.76983i | −0.378226 | − | 0.173822i | ||||
\(754\) | 59.5491 | − | 21.6156i | 2.16865 | − | 0.787194i | ||||
\(755\) | 39.2596i | 1.42880i | ||||||||
\(756\) | 28.4886 | − | 0.474130i | 1.03612 | − | 0.0172439i | ||||
\(757\) | 10.1885 | + | 17.6470i | 0.370308 | + | 0.641392i | 0.989613 | − | 0.143759i | \(-0.0459189\pi\) |
−0.619305 | + | 0.785150i | \(0.712586\pi\) | |||||||
\(758\) | 21.0113 | 0.763164 | ||||||||
\(759\) | 2.28465 | + | 6.17031i | 0.0829276 | + | 0.223968i | ||||
\(760\) | 14.6435 | − | 54.6502i | 0.531174 | − | 1.98237i | ||||
\(761\) | −13.9788 | + | 52.1695i | −0.506730 | + | 1.89114i | −0.0561177 | + | 0.998424i | \(0.517872\pi\) |
−0.450613 | + | 0.892720i | \(0.648794\pi\) | |||||||
\(762\) | −30.7888 | + | 37.1088i | −1.11536 | + | 1.34431i | ||||
\(763\) | −7.97048 | −0.288551 | ||||||||
\(764\) | 3.78665 | + | 6.55867i | 0.136996 | + | 0.237285i | ||||
\(765\) | −26.9750 | − | 2.05873i | −0.975284 | − | 0.0744336i | ||||
\(766\) | − | 2.59010i | − | 0.0935840i | ||||||
\(767\) | −8.12726 | + | 2.95010i | −0.293458 | + | 0.106522i | ||||
\(768\) | 65.6154 | − | 46.4889i | 2.36769 | − | 1.67752i | ||||
\(769\) | −4.30496 | − | 4.30496i | −0.155241 | − | 0.155241i | 0.625213 | − | 0.780454i | \(-0.285012\pi\) |
−0.780454 | + | 0.625213i | \(0.785012\pi\) | |||||||
\(770\) | 7.26385i | 0.261771i | ||||||||
\(771\) | 0.441402 | + | 4.74213i | 0.0158967 | + | 0.170784i | ||||
\(772\) | −31.3588 | + | 117.032i | −1.12863 | + | 4.21209i | ||||
\(773\) | −9.26836 | − | 34.5900i | −0.333360 | − | 1.24412i | −0.905636 | − | 0.424055i | \(-0.860606\pi\) |
0.572276 | − | 0.820061i | \(-0.306060\pi\) | |||||||
\(774\) | −51.7193 | + | 24.8193i | −1.85901 | + | 0.892111i | ||||
\(775\) | 70.4310 | − | 70.4310i | 2.52996 | − | 2.52996i | ||||
\(776\) | 12.3833i | 0.444536i | ||||||||
\(777\) | −1.58142 | − | 2.23204i | −0.0567330 | − | 0.0800740i | ||||
\(778\) | 62.3512 | − | 62.3512i | 2.23540 | − | 2.23540i | ||||
\(779\) | −7.49369 | + | 12.9794i | −0.268489 | + | 0.465037i | ||||
\(780\) | 128.910 | + | 10.6706i | 4.61572 | + | 0.382068i | ||||
\(781\) | 2.09031 | + | 3.62052i | 0.0747971 | + | 0.129552i | ||||
\(782\) | 34.0896 | + | 9.13429i | 1.21904 | + | 0.326641i | ||||
\(783\) | 8.10029 | − | 32.3765i | 0.289481 | − | 1.15704i | ||||
\(784\) | −13.0777 | − | 7.55042i | −0.467061 | − | 0.269658i | ||||
\(785\) | 48.7983 | + | 13.0755i | 1.74169 | + | 0.466683i | ||||
\(786\) | 87.5698 | + | 14.9405i | 3.12351 | + | 0.532911i | ||||
\(787\) | 41.6430 | + | 11.1582i | 1.48441 | + | 0.397747i | 0.907847 | − | 0.419302i | \(-0.137725\pi\) |
0.576567 | + | 0.817050i | \(0.304392\pi\) | |||||||
\(788\) | −53.1610 | + | 14.2444i | −1.89378 | + | 0.507437i | ||||
\(789\) | 2.23584 | − | 4.86505i | 0.0795980 | − | 0.173200i | ||||
\(790\) | 64.0110 | + | 36.9568i | 2.27741 | + | 1.31486i | ||||
\(791\) | −1.78030 | + | 6.64418i | −0.0633003 | + | 0.236240i | ||||
\(792\) | 18.9589 | + | 6.66322i | 0.673675 | + | 0.236767i | ||||
\(793\) | −9.03674 | − | 12.9297i | −0.320904 | − | 0.459146i | ||||
\(794\) | −29.3666 | + | 16.9548i | −1.04218 | + | 0.601704i | ||||
\(795\) | −2.74091 | − | 7.40256i | −0.0972101 | − | 0.262542i | ||||
\(796\) | 77.9645 | 2.76338 | ||||||||
\(797\) | 7.02239 | + | 12.1631i | 0.248746 | + | 0.430840i | 0.963178 | − | 0.268864i | \(-0.0866483\pi\) |
−0.714432 | + | 0.699705i | \(0.753315\pi\) | |||||||
\(798\) | −1.25256 | + | 7.34154i | −0.0443402 | + | 0.259888i | ||||
\(799\) | 3.69671 | + | 3.69671i | 0.130780 | + | 0.130780i | ||||
\(800\) | 199.207 | − | 53.3774i | 7.04304 | − | 1.88718i | ||||
\(801\) | −0.0831470 | + | 1.08945i | −0.00293786 | + | 0.0384939i | ||||
\(802\) | 1.72097 | − | 2.98081i | 0.0607697 | − | 0.105256i | ||||
\(803\) | 1.56888 | − | 2.71737i | 0.0553644 | − | 0.0958940i | ||||
\(804\) | 9.43633 | − | 55.3084i | 0.332794 | − | 1.95058i | ||||
\(805\) | −17.6780 | − | 10.2064i | −0.623068 | − | 0.359729i | ||||
\(806\) | −44.8797 | + | 96.0273i | −1.58082 | + | 3.38242i | ||||
\(807\) | −3.22051 | + | 7.00764i | −0.113367 | + | 0.246681i | ||||
\(808\) | 136.351 | − | 36.5350i | 4.79680 | − | 1.28530i | ||||
\(809\) | 12.5764 | − | 7.26102i | 0.442164 | − | 0.255284i | −0.262351 | − | 0.964973i | \(-0.584498\pi\) |
0.704515 | + | 0.709689i | \(0.251164\pi\) | |||||||
\(810\) | 58.1835 | − | 72.5503i | 2.04436 | − | 2.54916i | ||||
\(811\) | −18.5117 | − | 18.5117i | −0.650035 | − | 0.650035i | 0.302967 | − | 0.953001i | \(-0.402023\pi\) |
−0.953001 | + | 0.302967i | \(0.902023\pi\) | |||||||
\(812\) | −24.9038 | + | 24.9038i | −0.873953 | + | 0.873953i | ||||
\(813\) | 5.45851 | − | 31.9935i | 0.191438 | − | 1.12206i | ||||
\(814\) | −0.786049 | − | 2.93357i | −0.0275510 | − | 0.102822i | ||||
\(815\) | −53.4690 | + | 30.8703i | −1.87294 | + | 1.08134i | ||||
\(816\) | 50.9499 | − | 36.0984i | 1.78360 | − | 1.26370i | ||||
\(817\) | −2.84374 | − | 10.6130i | −0.0994898 | − | 0.371301i | ||||
\(818\) | 34.7973 | 1.21666 | ||||||||
\(819\) | −10.8161 | + | 0.110615i | −0.377945 | + | 0.00386521i | ||||
\(820\) | −197.495 | −6.89681 | ||||||||
\(821\) | −9.17016 | − | 34.2235i | −0.320041 | − | 1.19441i | −0.919204 | − | 0.393782i | \(-0.871167\pi\) |
0.599163 | − | 0.800627i | \(-0.295500\pi\) | |||||||
\(822\) | 72.0486 | + | 33.1115i | 2.51298 | + | 1.15490i | ||||
\(823\) | −15.3567 | + | 8.86617i | −0.535300 | + | 0.309055i | −0.743172 | − | 0.669101i | \(-0.766680\pi\) |
0.207872 | + | 0.978156i | \(0.433346\pi\) | |||||||
\(824\) | −43.7921 | − | 163.434i | −1.52557 | − | 5.69351i | ||||
\(825\) | 8.68480 | + | 7.20569i | 0.302366 | + | 0.250870i | ||||
\(826\) | 4.63857 | − | 4.63857i | 0.161397 | − | 0.161397i | ||||
\(827\) | 16.3813 | + | 16.3813i | 0.569635 | + | 0.569635i | 0.932026 | − | 0.362391i | \(-0.118040\pi\) |
−0.362391 | + | 0.932026i | \(0.618040\pi\) | |||||||
\(828\) | −67.4608 | + | 57.8937i | −2.34442 | + | 2.01195i | ||||
\(829\) | −15.2373 | + | 8.79725i | −0.529213 | + | 0.305541i | −0.740696 | − | 0.671840i | \(-0.765504\pi\) |
0.211483 | + | 0.977382i | \(0.432171\pi\) | |||||||
\(830\) | −105.962 | + | 28.3925i | −3.67800 | + | 0.985518i | ||||
\(831\) | −5.56732 | + | 0.518212i | −0.193128 | + | 0.0179766i | ||||
\(832\) | −90.6347 | + | 63.3460i | −3.14219 | + | 2.19613i | ||||
\(833\) | −2.06750 | − | 1.19367i | −0.0716345 | − | 0.0413582i | ||||
\(834\) | 74.1905 | + | 61.5551i | 2.56901 | + | 2.13148i | ||||
\(835\) | −37.6777 | + | 65.2598i | −1.30389 | + | 2.25841i | ||||
\(836\) | −3.02941 | + | 5.24708i | −0.104774 | + | 0.181474i | ||||
\(837\) | 28.7215 | + | 47.8887i | 0.992761 | + | 1.65528i | ||||
\(838\) | −73.8981 | + | 19.8009i | −2.55277 | + | 0.684012i | ||||
\(839\) | −15.6662 | − | 15.6662i | −0.540858 | − | 0.540858i | 0.382923 | − | 0.923780i | \(-0.374918\pi\) |
−0.923780 | + | 0.382923i | \(0.874918\pi\) | |||||||
\(840\) | −58.4658 | + | 21.6478i | −2.01726 | + | 0.746922i | ||||
\(841\) | 6.12686 | + | 10.6120i | 0.211271 | + | 0.365932i | ||||
\(842\) | 63.3413 | 2.18288 | ||||||||
\(843\) | 26.2600 | + | 4.48030i | 0.904443 | + | 0.154310i | ||||
\(844\) | 49.9431 | − | 28.8347i | 1.71911 | − | 0.992530i | ||||
\(845\) | −48.9112 | − | 4.36471i | −1.68260 | − | 0.150151i | ||||
\(846\) | −17.6629 | + | 3.31689i | −0.607262 | + | 0.114037i | ||||
\(847\) | −2.71911 | + | 10.1479i | −0.0934299 | + | 0.348685i | ||||
\(848\) | 15.7785 | + | 9.10969i | 0.541834 | + | 0.312828i | ||||
\(849\) | 4.82651 | − | 0.449256i | 0.165645 | − | 0.0154184i | ||||
\(850\) | 58.4672 | − | 15.6662i | 2.00541 | − | 0.537347i | ||||
\(851\) | 8.24390 | + | 2.20895i | 0.282597 | + | 0.0757217i | ||||
\(852\) | −36.0662 | + | 43.4695i | −1.23561 | + | 1.48924i | ||||
\(853\) | 28.2297 | + | 7.56411i | 0.966565 | + | 0.258990i | 0.707377 | − | 0.706837i | \(-0.249878\pi\) |
0.259188 | + | 0.965827i | \(0.416545\pi\) | |||||||
\(854\) | 10.3650 | + | 5.98421i | 0.354682 | + | 0.204775i | ||||
\(855\) | 11.6001 | + | 13.5170i | 0.396715 | + | 0.462273i | ||||
\(856\) | 44.6951 | + | 11.9760i | 1.52765 | + | 0.409332i | ||||
\(857\) | −24.6461 | − | 42.6883i | −0.841895 | − | 1.45821i | −0.888290 | − | 0.459282i | \(-0.848107\pi\) |
0.0463951 | − | 0.998923i | \(-0.485227\pi\) | |||||||
\(858\) | −11.3040 | − | 4.05451i | −0.385912 | − | 0.138419i | ||||
\(859\) | −13.6064 | + | 23.5670i | −0.464244 | + | 0.804095i | −0.999167 | − | 0.0408062i | \(-0.987007\pi\) |
0.534923 | + | 0.844901i | \(0.320341\pi\) | |||||||
\(860\) | 102.378 | − | 102.378i | 3.49107 | − | 3.49107i | ||||
\(861\) | 16.4439 | − | 1.53062i | 0.560407 | − | 0.0521632i | ||||
\(862\) | 52.7650i | 1.79718i | ||||||||
\(863\) | 10.8147 | − | 10.8147i | 0.368137 | − | 0.368137i | −0.498660 | − | 0.866797i | \(-0.666175\pi\) |
0.866797 | + | 0.498660i | \(0.166175\pi\) | |||||||
\(864\) | 1.92399 | + | 115.605i | 0.0654556 | + | 3.93298i | ||||
\(865\) | 7.47994 | + | 27.9155i | 0.254326 | + | 0.949156i | ||||
\(866\) | 14.2982 | − | 53.3616i | 0.485873 | − | 1.81330i | ||||
\(867\) | −15.9709 | + | 11.3155i | −0.542402 | + | 0.384295i | ||||
\(868\) | − | 58.9282i | − | 2.00015i | ||||||
\(869\) | −3.55551 | − | 3.55551i | −0.120612 | − | 0.120612i | ||||
\(870\) | 10.6541 | + | 114.461i | 0.361208 | + | 3.88058i | ||||
\(871\) | −3.71694 | + | 20.9734i | −0.125944 | + | 0.710655i | ||||
\(872\) | − | 75.9516i | − | 2.57204i | ||||||
\(873\) | −3.21814 | − | 2.20057i | −0.108918 | − | 0.0744779i | ||||
\(874\) | −11.6183 | − | 20.1235i | −0.392995 | − | 0.680686i | ||||
\(875\) | −16.1233 | −0.545066 | ||||||||
\(876\) | 41.7896 | + | 7.12985i | 1.41194 | + | 0.240895i | ||||
\(877\) | 0.657540 | − | 2.45397i | 0.0222035 | − | 0.0828647i | −0.953935 | − | 0.300013i | \(-0.903009\pi\) |
0.976139 | + | 0.217148i | \(0.0696756\pi\) | |||||||
\(878\) | −8.50544 | + | 31.7427i | −0.287045 | + | 1.07127i | ||||
\(879\) | 49.8631 | + | 8.50729i | 1.68184 | + | 0.286944i | ||||
\(880\) | −40.0977 | −1.35169 | ||||||||
\(881\) | −13.8425 | − | 23.9759i | −0.466365 | − | 0.807768i | 0.532897 | − | 0.846180i | \(-0.321103\pi\) |
−0.999262 | + | 0.0384125i | \(0.987770\pi\) | |||||||
\(882\) | 7.39890 | − | 3.55062i | 0.249134 | − | 0.119556i | ||||
\(883\) | 32.9254i | 1.10803i | 0.832507 | + | 0.554014i | \(0.186905\pi\) | ||||
−0.832507 | + | 0.554014i | \(0.813095\pi\) | |||||||
\(884\) | −38.6868 | + | 27.0388i | −1.30118 | + | 0.909414i | ||||
\(885\) | −1.45407 | − | 15.6216i | −0.0488781 | − | 0.525114i | ||||
\(886\) | 36.3814 | + | 36.3814i | 1.22226 | + | 1.22226i | ||||
\(887\) | − | 7.59083i | − | 0.254875i | −0.991847 | − | 0.127438i | \(-0.959325\pi\) | ||
0.991847 | − | 0.127438i | \(-0.0406752\pi\) | |||||||
\(888\) | 21.2694 | − | 15.0695i | 0.713753 | − | 0.505699i | ||||
\(889\) | −2.63390 | + | 9.82985i | −0.0883382 | + | 0.329683i | ||||
\(890\) | −0.974051 | − | 3.63521i | −0.0326503 | − | 0.121852i | ||||
\(891\) | −5.10069 | + | 3.74289i | −0.170879 | + | 0.125392i | ||||
\(892\) | −19.0606 | + | 19.0606i | −0.638198 | + | 0.638198i | ||||
\(893\) | − | 3.44210i | − | 0.115186i | ||||||
\(894\) | 29.4424 | − | 2.74053i | 0.984702 | − | 0.0916570i | ||||
\(895\) | 6.27470 | − | 6.27470i | 0.209740 | − | 0.209740i | ||||
\(896\) | 19.6969 | − | 34.1161i | 0.658028 | − | 1.13974i | ||||
\(897\) | 25.7506 | − | 21.8135i | 0.859789 | − | 0.728332i | ||||
\(898\) | 4.45100 | + | 7.70936i | 0.148532 | + | 0.257265i | ||||
\(899\) | −66.6729 | − | 17.8649i | −2.22366 | − | 0.595829i | ||||
\(900\) | −50.5541 | + | 143.842i | −1.68514 | + | 4.79473i | ||||
\(901\) | 2.49446 | + | 1.44018i | 0.0831026 | + | 0.0479793i | ||||
\(902\) | 17.7109 | + | 4.74563i | 0.589709 | + | 0.158012i | ||||
\(903\) | −7.73083 | + | 9.31773i | −0.257266 | + | 0.310075i | ||||
\(904\) | −63.3131 | − | 16.9647i | −2.10576 | − | 0.564237i | ||||
\(905\) | −67.8964 | + | 18.1928i | −2.25695 | + | 0.604748i | ||||
\(906\) | 49.0338 | − | 4.56411i | 1.62904 | − | 0.151632i | ||||
\(907\) | −15.0785 | − | 8.70559i | −0.500674 | − | 0.289064i | 0.228318 | − | 0.973587i | \(-0.426678\pi\) |
−0.728992 | + | 0.684522i | \(0.760011\pi\) | |||||||
\(908\) | −16.9826 | + | 63.3801i | −0.563589 | + | 2.10334i | ||||
\(909\) | −14.7354 | + | 41.9268i | −0.488743 | + | 1.39062i | ||||
\(910\) | 35.0212 | − | 12.7123i | 1.16094 | − | 0.421408i | ||||
\(911\) | −26.1047 | + | 15.0715i | −0.864887 | + | 0.499342i | −0.865646 | − | 0.500657i | \(-0.833092\pi\) |
0.000759100 | 1.00000i | \(0.499758\pi\) | ||||||||
\(912\) | −40.5265 | − | 6.91434i | −1.34197 | − | 0.228957i | ||||
\(913\) | 7.46277 | 0.246982 | ||||||||
\(914\) | −54.1496 | − | 93.7899i | −1.79111 | − | 3.10230i | ||||
\(915\) | 26.8434 | − | 9.93916i | 0.887415 | − | 0.328579i | ||||
\(916\) | −15.3708 | − | 15.3708i | −0.507865 | − | 0.507865i | ||||
\(917\) | 18.1100 | − | 4.85256i | 0.598045 | − | 0.160246i | ||||
\(918\) | 0.564691 | + | 33.9301i | 0.0186376 | + | 1.11986i | ||||
\(919\) | −5.40450 | + | 9.36087i | −0.178278 | + | 0.308787i | −0.941291 | − | 0.337597i | \(-0.890386\pi\) |
0.763013 | + | 0.646383i | \(0.223719\pi\) | |||||||
\(920\) | 97.2580 | − | 168.456i | 3.20650 | − | 5.55382i | ||||
\(921\) | 22.8920 | + | 18.9933i | 0.754317 | + | 0.625850i | ||||
\(922\) | 28.7067 | + | 16.5738i | 0.945406 | + | 0.545831i | ||||
\(923\) | 13.7974 | − | 16.4142i | 0.454148 | − | 0.540280i | ||||
\(924\) | 6.64763 | − | 0.618768i | 0.218691 | − | 0.0203560i | ||||
\(925\) | 14.1391 | − | 3.78857i | 0.464891 | − | 0.124567i | ||||
\(926\) | −88.5394 | + | 51.1182i | −2.90958 | + | 1.67985i | ||||
\(927\) | 50.2549 | + | 17.6624i | 1.65059 | + | 0.580109i | ||||
\(928\) | −101.059 | − | 101.059i | −3.31741 | − | 3.31741i | ||||
\(929\) | −10.6490 | + | 10.6490i | −0.349383 | + | 0.349383i | −0.859880 | − | 0.510497i | \(-0.829462\pi\) |
0.510497 | + | 0.859880i | \(0.329462\pi\) | |||||||
\(930\) | −148.025 | − | 122.815i | −4.85394 | − | 4.02727i | ||||
\(931\) | 0.406822 | + | 1.51828i | 0.0133330 | + | 0.0497596i | ||||
\(932\) | 34.0972 | − | 19.6860i | 1.11689 | − | 0.644838i | ||||
\(933\) | −0.754932 | − | 0.346946i | −0.0247154 | − | 0.0113585i | ||||
\(934\) | −19.5871 | − | 73.0999i | −0.640908 | − | 2.39190i | ||||
\(935\) | −6.33916 | −0.207313 | ||||||||
\(936\) | −1.05406 | − | 103.068i | −0.0344531 | − | 3.36887i | ||||
\(937\) | −28.0532 | −0.916457 | −0.458229 | − | 0.888834i | \(-0.651516\pi\) | ||||
−0.458229 | + | 0.888834i | \(0.651516\pi\) | |||||||
\(938\) | −4.18270 | − | 15.6101i | −0.136570 | − | 0.509687i | ||||
\(939\) | −17.4100 | + | 12.3351i | −0.568153 | + | 0.402540i | ||||
\(940\) | 39.2812 | − | 22.6790i | 1.28121 | − | 0.739707i | ||||
\(941\) | 5.24105 | + | 19.5599i | 0.170853 | + | 0.637633i | 0.997221 | + | 0.0745019i | \(0.0237367\pi\) |
−0.826368 | + | 0.563131i | \(0.809597\pi\) | |||||||
\(942\) | 10.6577 | − | 62.4673i | 0.347247 | − | 2.03529i | ||||
\(943\) | −36.4349 | + | 36.4349i | −1.18648 | + | 1.18648i | ||||
\(944\) | 25.6057 | + | 25.6057i | 0.833394 | + | 0.833394i | ||||
\(945\) | 4.76384 | − | 19.0408i | 0.154968 | − | 0.619398i | ||||
\(946\) | −11.6411 | + | 6.72102i | −0.378486 | + | 0.218519i | ||||
\(947\) | 36.9488 | − | 9.90040i | 1.20067 | − | 0.321720i | 0.397578 | − | 0.917569i | \(-0.369851\pi\) |
0.803097 | + | 0.595849i | \(0.203184\pi\) | |||||||
\(948\) | 28.3688 | − | 61.7289i | 0.921377 | − | 2.00486i | ||||
\(949\) | −15.8469 | − | 2.80842i | −0.514413 | − | 0.0911652i | ||||
\(950\) | −34.5138 | − | 19.9265i | −1.11978 | − | 0.646503i | ||||
\(951\) | 5.13596 | − | 30.1030i | 0.166545 | − | 0.976156i | ||||
\(952\) | 11.3746 | − | 19.7014i | 0.368653 | − | 0.638526i | ||||
\(953\) | 11.7189 | − | 20.2977i | 0.379613 | − | 0.657509i | −0.611393 | − | 0.791327i | \(-0.709391\pi\) |
0.991006 | + | 0.133818i | \(0.0427239\pi\) | |||||||
\(954\) | −8.92687 | + | 4.28387i | −0.289018 | + | 0.138696i | ||||
\(955\) | 5.03927 | − | 1.35027i | 0.163067 | − | 0.0436936i | ||||
\(956\) | −22.0069 | − | 22.0069i | −0.711753 | − | 0.711753i | ||||
\(957\) | 1.31524 | − | 7.70889i | 0.0425155 | − | 0.249193i | ||||
\(958\) | −39.3547 | − | 68.1643i | −1.27149 | − | 2.20229i | ||||
\(959\) | 16.7350 | 0.540400 | ||||||||
\(960\) | −69.6718 | − | 188.167i | −2.24865 | − | 6.07308i | ||||
\(961\) | 73.1712 | − | 42.2454i | 2.36036 | − | 1.36276i | ||||
\(962\) | −12.7680 | + | 8.92375i | −0.411657 | + | 0.287713i | ||||
\(963\) | −11.0548 | + | 9.48703i | −0.356235 | + | 0.305715i | ||||
\(964\) | −25.8563 | + | 96.4971i | −0.832776 | + | 3.10796i | ||||
\(965\) | 72.2822 | + | 41.7321i | 2.32685 | + | 1.34341i | ||||
\(966\) | −10.6923 | + | 23.2657i | −0.344018 | + | 0.748562i | ||||
\(967\) | 16.3561 | − | 4.38261i | 0.525977 | − | 0.140935i | 0.0139473 | − | 0.999903i | \(-0.495560\pi\) |
0.512030 | + | 0.858968i | \(0.328894\pi\) | |||||||
\(968\) | −96.7002 | − | 25.9107i | −3.10806 | − | 0.832802i | ||||
\(969\) | −6.40695 | − | 1.09311i | −0.205821 | − | 0.0351157i | ||||
\(970\) | 12.9708 | + | 3.47551i | 0.416467 | + | 0.111592i | ||||
\(971\) | 42.9385 | + | 24.7905i | 1.37796 | + | 0.795566i | 0.991914 | − | 0.126913i | \(-0.0405067\pi\) |
0.386048 | + | 0.922479i | \(0.373840\pi\) | |||||||
\(972\) | −71.3519 | − | 47.0674i | −2.28861 | − | 1.50969i | ||||
\(973\) | 19.6525 | + | 5.26587i | 0.630030 | + | 0.168816i | ||||
\(974\) | −51.4743 | − | 89.1561i | −1.64934 | − | 2.85674i | ||||
\(975\) | 19.5418 | − | 54.4825i | 0.625838 | − | 1.74484i | ||||
\(976\) | −33.0338 | + | 57.2163i | −1.05739 | + | 1.83145i | ||||
\(977\) | −38.1829 | + | 38.1829i | −1.22158 | + | 1.22158i | −0.254509 | + | 0.967070i | \(0.581914\pi\) |
−0.967070 | + | 0.254509i | \(0.918086\pi\) | |||||||
\(978\) | 44.7719 | + | 63.1919i | 1.43165 | + | 2.02065i | ||||
\(979\) | 0.256023i | 0.00818252i | ||||||||
\(980\) | −14.6461 | + | 14.6461i | −0.467853 | + | 0.467853i | ||||
\(981\) | 19.7381 | + | 13.4969i | 0.630187 | + | 0.430923i | ||||
\(982\) | 5.43376 | + | 20.2791i | 0.173398 | + | 0.647131i | ||||
\(983\) | −0.612428 | + | 2.28561i | −0.0195334 | + | 0.0728997i | −0.975005 | − | 0.222185i | \(-0.928681\pi\) |
0.955471 | + | 0.295085i | \(0.0953478\pi\) | |||||||
\(984\) | 14.5854 | + | 156.696i | 0.464966 | + | 4.99528i | ||||
\(985\) | 37.9129i | 1.20801i | ||||||||
\(986\) | −29.6606 | − | 29.6606i | −0.944586 | − | 0.944586i | ||||
\(987\) | −3.09489 | + | 2.19275i | −0.0985113 | + | 0.0697959i | ||||
\(988\) | 30.5995 | + | 5.42289i | 0.973499 | + | 0.172525i | ||||
\(989\) | − | 37.7747i | − | 1.20116i | ||||||
\(990\) | 12.3003 | − | 17.9882i | 0.390930 | − | 0.571702i | ||||
\(991\) | 16.5978 | + | 28.7482i | 0.527245 | + | 0.913215i | 0.999496 | + | 0.0317510i | \(0.0101083\pi\) |
−0.472251 | + | 0.881464i | \(0.656558\pi\) | |||||||
\(992\) | 239.128 | 7.59232 | ||||||||
\(993\) | −7.34676 | + | 8.85481i | −0.233142 | + | 0.280999i | ||||
\(994\) | −4.21072 | + | 15.7146i | −0.133556 | + | 0.498437i | ||||
\(995\) | 13.9005 | − | 51.8774i | 0.440676 | − | 1.64463i | ||||
\(996\) | 35.0102 | + | 94.5544i | 1.10934 | + | 2.99607i | ||||
\(997\) | −48.8858 | −1.54823 | −0.774114 | − | 0.633046i | \(-0.781805\pi\) | ||||
−0.774114 | + | 0.633046i | \(0.781805\pi\) | |||||||
\(998\) | −26.5855 | − | 46.0475i | −0.841551 | − | 1.45761i | ||||
\(999\) | 0.136559 | + | 8.20532i | 0.00432055 | + | 0.259605i |
(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 | 819.2.fy.a.50.3 | yes | 336 | |
9.2 | odd | 6 | 819.2.ew.a.596.82 | ✓ | 336 | ||
13.6 | odd | 12 | 819.2.ew.a.617.82 | yes | 336 | ||
117.110 | even | 12 | inner | 819.2.fy.a.344.3 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.596.82 | ✓ | 336 | 9.2 | odd | 6 | ||
819.2.ew.a.617.82 | yes | 336 | 13.6 | odd | 12 | ||
819.2.fy.a.50.3 | yes | 336 | 1.1 | even | 1 | trivial | |
819.2.fy.a.344.3 | yes | 336 | 117.110 | even | 12 | inner |