Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.11 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.11 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.397135 | − | 1.68591i | −0.229286 | − | 0.973359i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 2.02447 | + | 0.949486i | 0.905370 | + | 0.424623i | ||||
\(6\) | −1.61223 | + | 0.633022i | −0.658190 | + | 0.258430i | ||||
\(7\) | −4.08214 | + | 2.62343i | −1.54290 | + | 0.991563i | −0.555829 | + | 0.831297i | \(0.687599\pi\) |
−0.987074 | + | 0.160267i | \(0.948765\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −2.68457 | + | 1.33906i | −0.894856 | + | 0.446355i | ||||
\(10\) | 0.651709 | − | 2.13899i | 0.206089 | − | 0.676408i | ||||
\(11\) | 0.475030 | − | 3.30390i | 0.143227 | − | 0.996164i | −0.783758 | − | 0.621066i | \(-0.786700\pi\) |
0.926985 | − | 0.375098i | \(-0.122391\pi\) | |||||||
\(12\) | 0.856023 | + | 1.50573i | 0.247113 | + | 0.434667i | ||||
\(13\) | −0.660771 | + | 1.02818i | −0.183265 | + | 0.285166i | −0.920715 | − | 0.390236i | \(-0.872393\pi\) |
0.737450 | + | 0.675402i | \(0.236030\pi\) | |||||||
\(14\) | 3.17768 | + | 3.66723i | 0.849270 | + | 0.980109i | ||||
\(15\) | 0.796759 | − | 3.79014i | 0.205722 | − | 0.978610i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.75177 | + | 5.96599i | −0.424867 | + | 1.44697i | 0.417804 | + | 0.908537i | \(0.362800\pi\) |
−0.842671 | + | 0.538428i | \(0.819018\pi\) | |||||||
\(18\) | 1.70749 | + | 2.46667i | 0.402459 | + | 0.581401i | ||||
\(19\) | 0.670285 | + | 2.28278i | 0.153774 | + | 0.523706i | 0.999958 | − | 0.00918523i | \(-0.00292379\pi\) |
−0.846184 | + | 0.532891i | \(0.821106\pi\) | |||||||
\(20\) | −2.20997 | − | 0.340666i | −0.494163 | − | 0.0761753i | ||||
\(21\) | 6.04402 | + | 5.84025i | 1.31891 | + | 1.27445i | ||||
\(22\) | −3.33788 | −0.711638 | ||||||||
\(23\) | −4.18997 | + | 2.33328i | −0.873668 | + | 0.486522i | ||||
\(24\) | 1.36858 | − | 1.06160i | 0.279360 | − | 0.216698i | ||||
\(25\) | 3.19695 | + | 3.84441i | 0.639391 | + | 0.768882i | ||||
\(26\) | 1.11175 | + | 0.507720i | 0.218032 | + | 0.0995720i | ||||
\(27\) | 3.32367 | + | 3.99414i | 0.639641 | + | 0.768674i | ||||
\(28\) | 3.17768 | − | 3.66723i | 0.600524 | − | 0.693042i | ||||
\(29\) | −1.83741 | + | 6.25766i | −0.341199 | + | 1.16202i | 0.592981 | + | 0.805216i | \(0.297951\pi\) |
−0.934180 | + | 0.356801i | \(0.883867\pi\) | |||||||
\(30\) | −3.86495 | − | 0.249255i | −0.705641 | − | 0.0455076i | ||||
\(31\) | −2.18940 | − | 4.79412i | −0.393228 | − | 0.861050i | −0.997912 | − | 0.0645844i | \(-0.979428\pi\) |
0.604684 | − | 0.796466i | \(-0.293299\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | −5.75873 | + | 0.511238i | −1.00247 | + | 0.0889952i | ||||
\(34\) | 6.15457 | + | 0.884894i | 1.05550 | + | 0.151758i | ||||
\(35\) | −10.7551 | + | 1.43512i | −1.81794 | + | 0.242580i | ||||
\(36\) | 2.19857 | − | 2.04115i | 0.366428 | − | 0.340192i | ||||
\(37\) | 0.549311 | + | 0.633939i | 0.0903062 | + | 0.104219i | 0.799104 | − | 0.601193i | \(-0.205308\pi\) |
−0.708798 | + | 0.705412i | \(0.750762\pi\) | |||||||
\(38\) | 2.16415 | − | 0.988336i | 0.351072 | − | 0.160329i | ||||
\(39\) | 1.99583 | + | 0.705673i | 0.319589 | + | 0.112998i | ||||
\(40\) | −0.0226878 | + | 2.23595i | −0.00358725 | + | 0.353535i | ||||
\(41\) | 4.44117 | + | 3.84830i | 0.693595 | + | 0.601003i | 0.928640 | − | 0.370981i | \(-0.120979\pi\) |
−0.235046 | + | 0.971984i | \(0.575524\pi\) | |||||||
\(42\) | 4.92065 | − | 6.81365i | 0.759273 | − | 1.05137i | ||||
\(43\) | 0.0334887 | − | 0.0733301i | 0.00510699 | − | 0.0111827i | −0.907061 | − | 0.420999i | \(-0.861680\pi\) |
0.912168 | + | 0.409816i | \(0.134407\pi\) | |||||||
\(44\) | 0.475030 | + | 3.30390i | 0.0716134 | + | 0.498082i | ||||
\(45\) | −6.70625 | + | 0.161935i | −0.999709 | + | 0.0241399i | ||||
\(46\) | 2.90582 | + | 3.81526i | 0.428440 | + | 0.562529i | ||||
\(47\) | 4.46884 | 0.651847 | 0.325923 | − | 0.945396i | \(-0.394325\pi\) | ||||
0.325923 | + | 0.945396i | \(0.394325\pi\) | |||||||
\(48\) | −1.24556 | − | 1.20357i | −0.179781 | − | 0.173720i | ||||
\(49\) | 6.87355 | − | 15.0510i | 0.981936 | − | 2.15014i | ||||
\(50\) | 3.35031 | − | 3.71153i | 0.473805 | − | 0.524889i | ||||
\(51\) | 10.7538 | + | 0.584026i | 1.50583 | + | 0.0817800i | ||||
\(52\) | 0.344333 | − | 1.17269i | 0.0477504 | − | 0.162623i | ||||
\(53\) | −5.83690 | − | 9.08239i | −0.801760 | − | 1.24756i | −0.965330 | − | 0.261031i | \(-0.915937\pi\) |
0.163570 | − | 0.986532i | \(-0.447699\pi\) | |||||||
\(54\) | 3.48048 | − | 3.85827i | 0.473634 | − | 0.525044i | ||||
\(55\) | 4.09869 | − | 6.23762i | 0.552668 | − | 0.841080i | ||||
\(56\) | −4.08214 | − | 2.62343i | −0.545498 | − | 0.350571i | ||||
\(57\) | 3.58236 | − | 2.03661i | 0.474496 | − | 0.269755i | ||||
\(58\) | 6.45546 | + | 0.928154i | 0.847643 | + | 0.121873i | ||||
\(59\) | −2.51261 | + | 3.90970i | −0.327114 | + | 0.509000i | −0.965391 | − | 0.260807i | \(-0.916011\pi\) |
0.638277 | + | 0.769807i | \(0.279648\pi\) | |||||||
\(60\) | 0.303322 | + | 3.86109i | 0.0391587 | + | 0.498464i | ||||
\(61\) | −9.97373 | + | 4.55485i | −1.27701 | + | 0.583189i | −0.934378 | − | 0.356283i | \(-0.884044\pi\) |
−0.342627 | + | 0.939472i | \(0.611317\pi\) | |||||||
\(62\) | −4.43374 | + | 2.84939i | −0.563086 | + | 0.361873i | ||||
\(63\) | 7.44583 | − | 12.5090i | 0.938087 | − | 1.57599i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −2.31395 | + | 1.45412i | −0.287010 | + | 0.180362i | ||||
\(66\) | 1.32559 | + | 5.62735i | 0.163168 | + | 0.692679i | ||||
\(67\) | −0.376968 | − | 2.62187i | −0.0460540 | − | 0.320312i | −0.999806 | − | 0.0197167i | \(-0.993724\pi\) |
0.953752 | − | 0.300596i | \(-0.0971855\pi\) | |||||||
\(68\) | − | 6.21786i | − | 0.754026i | ||||||
\(69\) | 5.59767 | + | 6.13727i | 0.673880 | + | 0.738841i | ||||
\(70\) | 2.95112 | + | 10.4414i | 0.352726 | + | 1.24798i | ||||
\(71\) | 8.42268 | − | 1.21100i | 0.999589 | − | 0.143719i | 0.376954 | − | 0.926232i | \(-0.376971\pi\) |
0.622634 | + | 0.782513i | \(0.286062\pi\) | |||||||
\(72\) | −2.33327 | − | 1.88570i | −0.274978 | − | 0.222232i | ||||
\(73\) | 0.938954 | + | 3.19778i | 0.109896 | + | 0.374272i | 0.996015 | − | 0.0891860i | \(-0.0284266\pi\) |
−0.886119 | + | 0.463458i | \(0.846608\pi\) | |||||||
\(74\) | 0.549311 | − | 0.633939i | 0.0638562 | − | 0.0736939i | ||||
\(75\) | 5.21170 | − | 6.91652i | 0.601795 | − | 0.798650i | ||||
\(76\) | −1.28627 | − | 2.00147i | −0.147545 | − | 0.229584i | ||||
\(77\) | 6.72842 | + | 14.7332i | 0.766775 | + | 1.67900i | ||||
\(78\) | 0.414454 | − | 2.07594i | 0.0469276 | − | 0.235054i | ||||
\(79\) | −3.34150 | + | 5.19947i | −0.375948 | + | 0.584986i | −0.976742 | − | 0.214417i | \(-0.931215\pi\) |
0.600794 | + | 0.799404i | \(0.294851\pi\) | |||||||
\(80\) | 2.21642 | − | 0.295752i | 0.247804 | − | 0.0330661i | ||||
\(81\) | 5.41381 | − | 7.18962i | 0.601535 | − | 0.798847i | ||||
\(82\) | 3.17708 | − | 4.94364i | 0.350850 | − | 0.545933i | ||||
\(83\) | −10.3554 | + | 8.97304i | −1.13666 | + | 0.984919i | −0.999984 | − | 0.00569681i | \(-0.998187\pi\) |
−0.136674 | + | 0.990616i | \(0.543641\pi\) | |||||||
\(84\) | −7.44458 | − | 3.90088i | −0.812270 | − | 0.425621i | ||||
\(85\) | −9.21104 | + | 10.4147i | −0.999077 | + | 1.12963i | ||||
\(86\) | −0.0773497 | − | 0.0227119i | −0.00834083 | − | 0.00244909i | ||||
\(87\) | 11.2795 | + | 0.612578i | 1.20929 | + | 0.0656752i | ||||
\(88\) | 3.20267 | − | 0.940389i | 0.341406 | − | 0.100246i | ||||
\(89\) | 2.16744 | − | 4.74603i | 0.229748 | − | 0.503078i | −0.759288 | − | 0.650755i | \(-0.774452\pi\) |
0.989036 | + | 0.147677i | \(0.0471797\pi\) | |||||||
\(90\) | 1.11469 | + | 6.61494i | 0.117498 | + | 0.697276i | ||||
\(91\) | − | 5.93065i | − | 0.621701i | ||||||
\(92\) | 3.36288 | − | 3.41921i | 0.350605 | − | 0.356478i | ||||
\(93\) | −7.21296 | + | 5.59504i | −0.747949 | + | 0.580179i | ||||
\(94\) | −0.635982 | − | 4.42335i | −0.0655965 | − | 0.456234i | ||||
\(95\) | −0.810497 | + | 5.25784i | −0.0831552 | + | 0.539443i | ||||
\(96\) | −1.01406 | + | 1.40417i | −0.103497 | + | 0.143312i | ||||
\(97\) | −4.90317 | + | 5.65856i | −0.497841 | + | 0.574539i | −0.947944 | − | 0.318437i | \(-0.896842\pi\) |
0.450103 | + | 0.892977i | \(0.351387\pi\) | |||||||
\(98\) | −15.8760 | − | 4.66161i | −1.60372 | − | 0.470894i | ||||
\(99\) | 3.14889 | + | 9.50565i | 0.316475 | + | 0.955354i | ||||
\(100\) | −4.15055 | − | 2.78800i | −0.415055 | − | 0.278800i | ||||
\(101\) | −12.7588 | + | 11.0556i | −1.26955 | + | 1.10007i | −0.279385 | + | 0.960179i | \(0.590131\pi\) |
−0.990167 | + | 0.139893i | \(0.955324\pi\) | |||||||
\(102\) | −0.952344 | − | 10.7275i | −0.0942961 | − | 1.06218i | ||||
\(103\) | 2.50854 | − | 17.4473i | 0.247174 | − | 1.71913i | −0.367220 | − | 0.930134i | \(-0.619690\pi\) |
0.614394 | − | 0.788999i | \(-0.289400\pi\) | |||||||
\(104\) | −1.20976 | − | 0.173937i | −0.118627 | − | 0.0170559i | ||||
\(105\) | 6.69069 | + | 17.5621i | 0.652945 | + | 1.71389i | ||||
\(106\) | −8.15927 | + | 7.07005i | −0.792498 | + | 0.686704i | ||||
\(107\) | −4.12405 | + | 1.88339i | −0.398687 | + | 0.182074i | −0.604660 | − | 0.796483i | \(-0.706691\pi\) |
0.205974 | + | 0.978558i | \(0.433964\pi\) | |||||||
\(108\) | −4.31432 | − | 2.89597i | −0.415146 | − | 0.278665i | ||||
\(109\) | 4.14943 | − | 14.1317i | 0.397443 | − | 1.35357i | −0.481418 | − | 0.876491i | \(-0.659878\pi\) |
0.878861 | − | 0.477077i | \(-0.158304\pi\) | |||||||
\(110\) | −6.75743 | − | 3.16927i | −0.644296 | − | 0.302178i | ||||
\(111\) | 0.850612 | − | 1.17785i | 0.0807365 | − | 0.111796i | ||||
\(112\) | −2.01578 | + | 4.41394i | −0.190473 | + | 0.417078i | ||||
\(113\) | 5.57471 | − | 0.801522i | 0.524425 | − | 0.0754009i | 0.124982 | − | 0.992159i | \(-0.460113\pi\) |
0.399443 | + | 0.916758i | \(0.369204\pi\) | |||||||
\(114\) | −2.52570 | − | 3.25606i | −0.236554 | − | 0.304958i | ||||
\(115\) | −10.6979 | + | 0.745333i | −0.997582 | + | 0.0695026i | ||||
\(116\) | − | 6.52184i | − | 0.605537i | ||||||
\(117\) | 0.397086 | − | 3.64503i | 0.0367106 | − | 0.336983i | ||||
\(118\) | 4.22749 | + | 1.93063i | 0.389172 | + | 0.177729i | ||||
\(119\) | −8.50038 | − | 28.9496i | −0.779229 | − | 2.65381i | ||||
\(120\) | 3.77862 | − | 0.849725i | 0.344939 | − | 0.0775689i | ||||
\(121\) | −0.135698 | − | 0.0398446i | −0.0123362 | − | 0.00362224i | ||||
\(122\) | 5.92790 | + | 9.22399i | 0.536687 | + | 0.835101i | ||||
\(123\) | 4.72413 | − | 9.01570i | 0.425961 | − | 0.812918i | ||||
\(124\) | 3.45138 | + | 3.98310i | 0.309943 | + | 0.357693i | ||||
\(125\) | 2.82192 | + | 10.8184i | 0.252400 | + | 0.967623i | ||||
\(126\) | −13.4413 | − | 5.58983i | −1.19745 | − | 0.497981i | ||||
\(127\) | −17.5969 | − | 2.53005i | −1.56147 | − | 0.224506i | −0.693255 | − | 0.720692i | \(-0.743824\pi\) |
−0.868216 | + | 0.496186i | \(0.834733\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −0.136927 | − | 0.0273370i | −0.0120558 | − | 0.00240689i | ||||
\(130\) | 1.76863 | + | 2.08346i | 0.155119 | + | 0.182731i | ||||
\(131\) | 4.82999 | + | 7.51561i | 0.421998 | + | 0.656642i | 0.985540 | − | 0.169446i | \(-0.0541977\pi\) |
−0.563541 | + | 0.826088i | \(0.690561\pi\) | |||||||
\(132\) | 5.38142 | − | 2.11295i | 0.468393 | − | 0.183909i | ||||
\(133\) | −8.72491 | − | 7.56018i | −0.756545 | − | 0.655550i | ||||
\(134\) | −2.54154 | + | 0.746262i | −0.219555 | + | 0.0644672i | ||||
\(135\) | 2.93629 | + | 11.2418i | 0.252716 | + | 0.967541i | ||||
\(136\) | −6.15457 | + | 0.884894i | −0.527750 | + | 0.0758790i | ||||
\(137\) | 11.0512i | 0.944166i | 0.881554 | + | 0.472083i | \(0.156498\pi\) | ||||
−0.881554 | + | 0.472083i | \(0.843502\pi\) | |||||||
\(138\) | 5.27817 | − | 6.41412i | 0.449308 | − | 0.546006i | ||||
\(139\) | 3.22829 | 0.273820 | 0.136910 | − | 0.990583i | \(-0.456283\pi\) | ||||
0.136910 | + | 0.990583i | \(0.456283\pi\) | |||||||
\(140\) | 9.91509 | − | 4.40704i | 0.837978 | − | 0.372463i | ||||
\(141\) | −1.77473 | − | 7.53404i | −0.149459 | − | 0.634481i | ||||
\(142\) | −2.39735 | − | 8.16461i | −0.201181 | − | 0.685159i | ||||
\(143\) | 3.08312 | + | 2.67154i | 0.257823 | + | 0.223405i | ||||
\(144\) | −1.53445 | + | 2.57788i | −0.127871 | + | 0.214823i | ||||
\(145\) | −9.66135 | + | 10.9238i | −0.802331 | + | 0.907175i | ||||
\(146\) | 3.03161 | − | 1.38449i | 0.250898 | − | 0.114581i | ||||
\(147\) | −28.1043 | − | 5.61091i | −2.31800 | − | 0.462780i | ||||
\(148\) | −0.705662 | − | 0.453501i | −0.0580050 | − | 0.0372776i | ||||
\(149\) | 1.45183 | − | 10.0977i | 0.118939 | − | 0.827238i | −0.839789 | − | 0.542913i | \(-0.817321\pi\) |
0.958728 | − | 0.284325i | \(-0.0917695\pi\) | |||||||
\(150\) | −7.58782 | − | 4.17433i | −0.619543 | − | 0.340833i | ||||
\(151\) | −7.84078 | − | 5.03896i | −0.638073 | − | 0.410065i | 0.181217 | − | 0.983443i | \(-0.441996\pi\) |
−0.819291 | + | 0.573378i | \(0.805633\pi\) | |||||||
\(152\) | −1.79804 | + | 1.55801i | −0.145841 | + | 0.126372i | ||||
\(153\) | −3.28609 | − | 18.3618i | −0.265665 | − | 1.48447i | ||||
\(154\) | 13.6257 | − | 8.75669i | 1.09799 | − | 0.705634i | ||||
\(155\) | 0.119574 | − | 11.7844i | 0.00960439 | − | 0.946543i | ||||
\(156\) | −2.11380 | − | 0.114798i | −0.169239 | − | 0.00919117i | ||||
\(157\) | −10.2815 | + | 3.01891i | −0.820549 | + | 0.240935i | −0.664952 | − | 0.746886i | \(-0.731548\pi\) |
−0.155597 | + | 0.987821i | \(0.549730\pi\) | |||||||
\(158\) | 5.62209 | + | 2.56752i | 0.447270 | + | 0.204261i | ||||
\(159\) | −12.9940 | + | 13.4474i | −1.03049 | + | 1.06645i | ||||
\(160\) | −0.608172 | − | 2.15177i | −0.0480802 | − | 0.170113i | ||||
\(161\) | 10.9828 | − | 20.5168i | 0.865568 | − | 1.61695i | ||||
\(162\) | −7.88691 | − | 4.33552i | −0.619654 | − | 0.340631i | ||||
\(163\) | 14.9453 | − | 2.14881i | 1.17061 | − | 0.168308i | 0.470536 | − | 0.882381i | \(-0.344061\pi\) |
0.700071 | + | 0.714073i | \(0.253152\pi\) | |||||||
\(164\) | −5.34546 | − | 2.44119i | −0.417411 | − | 0.190625i | ||||
\(165\) | −12.1438 | − | 4.43284i | −0.945392 | − | 0.345096i | ||||
\(166\) | 10.3554 | + | 8.97304i | 0.803738 | + | 0.696443i | ||||
\(167\) | 8.63720 | + | 2.53611i | 0.668367 | + | 0.196250i | 0.598276 | − | 0.801290i | \(-0.295853\pi\) |
0.0700912 | + | 0.997541i | \(0.477671\pi\) | |||||||
\(168\) | −2.80170 | + | 7.92396i | −0.216156 | + | 0.611347i | ||||
\(169\) | 4.77986 | + | 10.4664i | 0.367682 | + | 0.805110i | ||||
\(170\) | 11.6195 | + | 7.63512i | 0.891178 | + | 0.585587i | ||||
\(171\) | −4.85621 | − | 5.23072i | −0.371364 | − | 0.400004i | ||||
\(172\) | −0.0114727 | + | 0.0797946i | −0.000874788 | + | 0.00608428i | ||||
\(173\) | −1.70696 | + | 11.8722i | −0.129778 | + | 0.902625i | 0.816056 | + | 0.577973i | \(0.196156\pi\) |
−0.945834 | + | 0.324652i | \(0.894753\pi\) | |||||||
\(174\) | −0.998902 | − | 11.2519i | −0.0757266 | − | 0.853005i | ||||
\(175\) | −23.1359 | − | 7.30643i | −1.74891 | − | 0.552314i | ||||
\(176\) | −1.38660 | − | 3.03624i | −0.104519 | − | 0.228865i | ||||
\(177\) | 7.58924 | + | 2.68335i | 0.570442 | + | 0.201693i | ||||
\(178\) | −5.00618 | − | 1.46995i | −0.375229 | − | 0.110177i | ||||
\(179\) | 10.7953 | + | 9.35422i | 0.806882 | + | 0.699167i | 0.957186 | − | 0.289473i | \(-0.0934799\pi\) |
−0.150304 | + | 0.988640i | \(0.548025\pi\) | |||||||
\(180\) | 6.38898 | − | 2.04474i | 0.476206 | − | 0.152406i | ||||
\(181\) | −2.43796 | − | 1.11338i | −0.181212 | − | 0.0827569i | 0.322743 | − | 0.946487i | \(-0.395395\pi\) |
−0.503955 | + | 0.863730i | \(0.668122\pi\) | |||||||
\(182\) | −5.87029 | + | 0.844020i | −0.435135 | + | 0.0625629i | ||||
\(183\) | 11.6400 | + | 15.0059i | 0.860451 | + | 1.10927i | ||||
\(184\) | −3.86300 | − | 2.84205i | −0.284784 | − | 0.209519i | ||||
\(185\) | 0.510148 | + | 1.80495i | 0.0375068 | + | 0.132703i | ||||
\(186\) | 6.56460 | + | 6.34329i | 0.481340 | + | 0.465112i | ||||
\(187\) | 18.8789 | + | 8.62171i | 1.38056 | + | 0.630482i | ||||
\(188\) | −4.28782 | + | 1.25902i | −0.312721 | + | 0.0918232i | ||||
\(189\) | −24.0460 | − | 7.58522i | −1.74909 | − | 0.551744i | ||||
\(190\) | 5.31967 | + | 0.0539777i | 0.385930 | + | 0.00391595i | ||||
\(191\) | −20.2556 | + | 13.0175i | −1.46564 | + | 0.941911i | −0.467315 | + | 0.884091i | \(0.654779\pi\) |
−0.998327 | + | 0.0578200i | \(0.981585\pi\) | |||||||
\(192\) | 1.53419 | + | 0.803900i | 0.110721 | + | 0.0580165i | ||||
\(193\) | 17.2773 | − | 14.9708i | 1.24364 | − | 1.07762i | 0.249634 | − | 0.968340i | \(-0.419690\pi\) |
0.994011 | − | 0.109284i | \(-0.0348559\pi\) | |||||||
\(194\) | 6.29875 | + | 4.04796i | 0.452224 | + | 0.290627i | ||||
\(195\) | 3.37047 | + | 3.32363i | 0.241364 | + | 0.238010i | ||||
\(196\) | −2.35477 | + | 16.3778i | −0.168198 | + | 1.16984i | ||||
\(197\) | 2.03675 | + | 1.30894i | 0.145112 | + | 0.0932579i | 0.611182 | − | 0.791490i | \(-0.290694\pi\) |
−0.466070 | + | 0.884748i | \(0.654331\pi\) | |||||||
\(198\) | 8.96076 | − | 4.46963i | 0.636814 | − | 0.317643i | ||||
\(199\) | −9.03682 | + | 4.12698i | −0.640603 | + | 0.292554i | −0.709111 | − | 0.705097i | \(-0.750903\pi\) |
0.0685079 | + | 0.997651i | \(0.478176\pi\) | |||||||
\(200\) | −2.16894 | + | 4.50508i | −0.153367 | + | 0.318557i | ||||
\(201\) | −4.27052 | + | 1.67677i | −0.301220 | + | 0.118270i | ||||
\(202\) | 12.7588 | + | 11.0556i | 0.897708 | + | 0.777869i | ||||
\(203\) | −8.91595 | − | 30.3649i | −0.625777 | − | 2.13120i | ||||
\(204\) | −10.4827 | + | 2.46933i | −0.733938 | + | 0.172887i | ||||
\(205\) | 5.33711 | + | 12.0076i | 0.372760 | + | 0.838647i | ||||
\(206\) | −17.6267 | −1.22811 | ||||||||
\(207\) | 8.12384 | − | 11.8745i | 0.564646 | − | 0.825333i | ||||
\(208\) | 1.22220i | 0.0847443i | ||||||||
\(209\) | 7.86049 | − | 1.13017i | 0.543721 | − | 0.0781753i | ||||
\(210\) | 16.4312 | − | 9.12194i | 1.13386 | − | 0.629474i | ||||
\(211\) | −11.1065 | + | 3.26116i | −0.764603 | + | 0.224508i | −0.640705 | − | 0.767787i | \(-0.721358\pi\) |
−0.123898 | + | 0.992295i | \(0.539540\pi\) | |||||||
\(212\) | 8.15927 | + | 7.07005i | 0.560381 | + | 0.485573i | ||||
\(213\) | −5.38657 | − | 13.7189i | −0.369082 | − | 0.940006i | ||||
\(214\) | 2.45113 | + | 3.81404i | 0.167556 | + | 0.260722i | ||||
\(215\) | 0.137423 | − | 0.116657i | 0.00937216 | − | 0.00795597i | ||||
\(216\) | −2.25250 | + | 4.68255i | −0.153263 | + | 0.318607i | ||||
\(217\) | 21.5145 | + | 13.8265i | 1.46050 | + | 0.938605i | ||||
\(218\) | −14.5784 | − | 2.09605i | −0.987371 | − | 0.141962i | ||||
\(219\) | 5.01828 | − | 2.85294i | 0.339104 | − | 0.192784i | ||||
\(220\) | −2.17533 | + | 7.13968i | −0.146660 | + | 0.481357i | ||||
\(221\) | −4.97659 | − | 5.74329i | −0.334762 | − | 0.386335i | ||||
\(222\) | −1.28691 | − | 0.674329i | −0.0863720 | − | 0.0452580i | ||||
\(223\) | −0.894659 | − | 1.39212i | −0.0599108 | − | 0.0932231i | 0.810006 | − | 0.586422i | \(-0.199464\pi\) |
−0.869917 | + | 0.493199i | \(0.835828\pi\) | |||||||
\(224\) | 4.65589 | + | 1.36709i | 0.311085 | + | 0.0913427i | ||||
\(225\) | −13.7304 | − | 6.03966i | −0.915357 | − | 0.402644i | ||||
\(226\) | −1.58673 | − | 5.40390i | −0.105548 | − | 0.359462i | ||||
\(227\) | −11.5296 | − | 5.26541i | −0.765250 | − | 0.349478i | −0.00574819 | − | 0.999983i | \(-0.501830\pi\) |
−0.759501 | + | 0.650506i | \(0.774557\pi\) | |||||||
\(228\) | −2.86347 | + | 2.96338i | −0.189638 | + | 0.196255i | ||||
\(229\) | 16.1083i | 1.06447i | 0.846597 | + | 0.532234i | \(0.178647\pi\) | ||||
−0.846597 | + | 0.532234i | \(0.821353\pi\) | |||||||
\(230\) | 2.26021 | + | 10.4829i | 0.149034 | + | 0.691223i | ||||
\(231\) | 22.1667 | − | 17.1946i | 1.45846 | − | 1.13132i | ||||
\(232\) | −6.45546 | + | 0.928154i | −0.423821 | + | 0.0609363i | ||||
\(233\) | −2.35607 | + | 5.15907i | −0.154351 | + | 0.337982i | −0.970972 | − | 0.239192i | \(-0.923117\pi\) |
0.816621 | + | 0.577174i | \(0.195845\pi\) | |||||||
\(234\) | −3.66444 | + | 0.125698i | −0.239552 | + | 0.00821714i | ||||
\(235\) | 9.04702 | + | 4.24310i | 0.590163 | + | 0.276789i | ||||
\(236\) | 1.30934 | − | 4.45922i | 0.0852310 | − | 0.290270i | ||||
\(237\) | 10.0929 | + | 3.56857i | 0.655601 | + | 0.231803i | ||||
\(238\) | −27.4453 | + | 12.5338i | −1.77901 | + | 0.812447i | ||||
\(239\) | −5.58674 | + | 4.84094i | −0.361376 | + | 0.313134i | −0.816557 | − | 0.577265i | \(-0.804120\pi\) |
0.455181 | + | 0.890399i | \(0.349575\pi\) | |||||||
\(240\) | −1.37883 | − | 3.61923i | −0.0890031 | − | 0.233620i | ||||
\(241\) | 10.2681 | + | 1.47633i | 0.661425 | + | 0.0950986i | 0.464849 | − | 0.885390i | \(-0.346109\pi\) |
0.196576 | + | 0.980489i | \(0.437018\pi\) | |||||||
\(242\) | −0.0201272 | + | 0.139988i | −0.00129382 | + | 0.00899874i | ||||
\(243\) | −14.2710 | − | 6.27194i | −0.915488 | − | 0.402345i | ||||
\(244\) | 8.28647 | − | 7.18027i | 0.530487 | − | 0.459670i | ||||
\(245\) | 28.2060 | − | 23.9439i | 1.80201 | − | 1.52972i | ||||
\(246\) | −9.59624 | − | 3.39298i | −0.611834 | − | 0.216328i | ||||
\(247\) | −2.79001 | − | 0.819221i | −0.177524 | − | 0.0521258i | ||||
\(248\) | 3.45138 | − | 3.98310i | 0.219163 | − | 0.252927i | ||||
\(249\) | 19.2402 | + | 13.8948i | 1.21930 | + | 0.880548i | ||||
\(250\) | 10.3066 | − | 4.33281i | 0.651849 | − | 0.274031i | ||||
\(251\) | −0.398058 | − | 2.76855i | −0.0251252 | − | 0.174749i | 0.973395 | − | 0.229134i | \(-0.0735894\pi\) |
−0.998520 | + | 0.0543845i | \(0.982680\pi\) | |||||||
\(252\) | −3.62003 | + | 14.1001i | −0.228040 | + | 0.888220i | ||||
\(253\) | 5.71856 | + | 14.9516i | 0.359523 | + | 0.940000i | ||||
\(254\) | 17.7778i | 1.11548i | ||||||||
\(255\) | 21.2162 | + | 11.3929i | 1.32861 | + | 0.713453i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 22.0394 | − | 6.47135i | 1.37478 | − | 0.403672i | 0.490831 | − | 0.871255i | \(-0.336693\pi\) |
0.883949 | + | 0.467583i | \(0.154875\pi\) | |||||||
\(258\) | −0.00757195 | + | 0.139424i | −0.000471409 | + | 0.00868016i | ||||
\(259\) | −3.90546 | − | 1.14675i | −0.242673 | − | 0.0712553i | ||||
\(260\) | 1.81055 | − | 2.04714i | 0.112285 | − | 0.126958i | ||||
\(261\) | −3.44674 | − | 19.2595i | −0.213348 | − | 1.19213i | ||||
\(262\) | 6.75174 | − | 5.85041i | 0.417124 | − | 0.361440i | ||||
\(263\) | 6.44216 | − | 10.0242i | 0.397241 | − | 0.618119i | −0.583805 | − | 0.811894i | \(-0.698437\pi\) |
0.981046 | + | 0.193775i | \(0.0620732\pi\) | |||||||
\(264\) | −2.85730 | − | 5.02594i | −0.175855 | − | 0.309326i | ||||
\(265\) | −3.19302 | − | 23.9291i | −0.196146 | − | 1.46995i | ||||
\(266\) | −6.24154 | + | 9.71203i | −0.382693 | + | 0.595482i | ||||
\(267\) | −8.86213 | − | 1.76929i | −0.542353 | − | 0.108279i | ||||
\(268\) | 1.10036 | + | 2.40946i | 0.0672155 | + | 0.147181i | ||||
\(269\) | 3.21489 | + | 5.00247i | 0.196016 | + | 0.305006i | 0.925323 | − | 0.379180i | \(-0.123794\pi\) |
−0.729307 | + | 0.684186i | \(0.760158\pi\) | |||||||
\(270\) | 10.7095 | − | 4.50628i | 0.651760 | − | 0.274243i | ||||
\(271\) | 2.07086 | − | 2.38989i | 0.125796 | − | 0.145176i | −0.689358 | − | 0.724421i | \(-0.742107\pi\) |
0.815153 | + | 0.579245i | \(0.196653\pi\) | |||||||
\(272\) | 1.75177 | + | 5.96599i | 0.106217 | + | 0.361741i | ||||
\(273\) | −9.99853 | + | 2.35527i | −0.605139 | + | 0.142547i | ||||
\(274\) | 10.9387 | − | 1.57275i | 0.660830 | − | 0.0950131i | ||||
\(275\) | 14.2202 | − | 8.73621i | 0.857511 | − | 0.526813i | ||||
\(276\) | −7.09999 | − | 4.31162i | −0.427369 | − | 0.259529i | ||||
\(277\) | − | 32.3648i | − | 1.94462i | −0.233705 | − | 0.972308i | \(-0.575085\pi\) | ||
0.233705 | − | 0.972308i | \(-0.424915\pi\) | |||||||
\(278\) | −0.459434 | − | 3.19543i | −0.0275550 | − | 0.191649i | ||||
\(279\) | 12.2972 | + | 9.93840i | 0.736217 | + | 0.594996i | ||||
\(280\) | −5.77325 | − | 9.18698i | −0.345018 | − | 0.549027i | ||||
\(281\) | −3.09085 | + | 3.56703i | −0.184385 | + | 0.212791i | −0.840415 | − | 0.541943i | \(-0.817689\pi\) |
0.656031 | + | 0.754734i | \(0.272234\pi\) | |||||||
\(282\) | −7.20479 | + | 2.82887i | −0.429039 | + | 0.168457i | ||||
\(283\) | 9.86425 | − | 6.33937i | 0.586369 | − | 0.376837i | −0.213561 | − | 0.976930i | \(-0.568506\pi\) |
0.799930 | + | 0.600093i | \(0.204870\pi\) | |||||||
\(284\) | −7.74033 | + | 3.53489i | −0.459304 | + | 0.209757i | ||||
\(285\) | 9.18612 | − | 0.721650i | 0.544139 | − | 0.0427468i | ||||
\(286\) | 2.20557 | − | 3.43194i | 0.130418 | − | 0.202935i | ||||
\(287\) | −28.2252 | − | 4.05817i | −1.66608 | − | 0.239546i | ||||
\(288\) | 2.77002 | + | 1.15196i | 0.163225 | + | 0.0678799i | ||||
\(289\) | −18.2230 | − | 11.7112i | −1.07194 | − | 0.688896i | ||||
\(290\) | 12.1876 | + | 8.00838i | 0.715681 | + | 0.470269i | ||||
\(291\) | 11.4870 | + | 6.01908i | 0.673381 | + | 0.352845i | ||||
\(292\) | −1.80184 | − | 2.80372i | −0.105445 | − | 0.164075i | ||||
\(293\) | −0.449712 | + | 1.53158i | −0.0262725 | + | 0.0894758i | −0.971586 | − | 0.236688i | \(-0.923938\pi\) |
0.945313 | + | 0.326164i | \(0.105756\pi\) | |||||||
\(294\) | −1.55414 | + | 28.6167i | −0.0906393 | + | 1.66896i | ||||
\(295\) | −8.79891 | + | 5.52938i | −0.512293 | + | 0.321933i | ||||
\(296\) | −0.348459 | + | 0.763019i | −0.0202538 | + | 0.0443496i | ||||
\(297\) | 14.7751 | − | 9.08376i | 0.857339 | − | 0.527093i | ||||
\(298\) | −10.2016 | −0.590961 | ||||||||
\(299\) | 0.369581 | − | 5.84980i | 0.0213734 | − | 0.338303i | ||||
\(300\) | −3.05198 | + | 8.10465i | −0.176206 | + | 0.467922i | ||||
\(301\) | 0.0556708 | + | 0.387199i | 0.00320881 | + | 0.0223178i | ||||
\(302\) | −3.87181 | + | 8.47809i | −0.222798 | + | 0.487859i | ||||
\(303\) | 23.7057 | + | 17.1197i | 1.36186 | + | 0.983499i | ||||
\(304\) | 1.79804 | + | 1.55801i | 0.103125 | + | 0.0893582i | ||||
\(305\) | −24.5163 | − | 0.248762i | −1.40380 | − | 0.0142441i | ||||
\(306\) | −17.7073 | + | 5.86581i | −1.01226 | + | 0.335326i | ||||
\(307\) | −0.772740 | + | 0.352899i | −0.0441026 | + | 0.0201410i | −0.437344 | − | 0.899294i | \(-0.644081\pi\) |
0.393242 | + | 0.919435i | \(0.371354\pi\) | |||||||
\(308\) | −10.6067 | − | 12.2408i | −0.604372 | − | 0.697483i | ||||
\(309\) | −30.4108 | + | 2.69975i | −1.73001 | + | 0.153584i | ||||
\(310\) | −11.6814 | + | 1.55873i | −0.663461 | + | 0.0885301i | ||||
\(311\) | 14.6416 | + | 2.10514i | 0.830248 | + | 0.119372i | 0.544318 | − | 0.838879i | \(-0.316789\pi\) |
0.285930 | + | 0.958251i | \(0.407698\pi\) | |||||||
\(312\) | 0.187195 | + | 2.10862i | 0.0105978 | + | 0.119377i | ||||
\(313\) | −21.6863 | − | 25.0273i | −1.22578 | − | 1.41463i | −0.879095 | − | 0.476646i | \(-0.841852\pi\) |
−0.346686 | − | 0.937981i | \(-0.612693\pi\) | |||||||
\(314\) | 4.45138 | + | 9.74717i | 0.251206 | + | 0.550064i | ||||
\(315\) | 26.9510 | − | 18.2544i | 1.51852 | − | 1.02852i | ||||
\(316\) | 1.74128 | − | 5.93026i | 0.0979548 | − | 0.333603i | ||||
\(317\) | 13.6650 | − | 15.7702i | 0.767501 | − | 0.885744i | −0.228640 | − | 0.973511i | \(-0.573428\pi\) |
0.996141 | + | 0.0877675i | \(0.0279732\pi\) | |||||||
\(318\) | 15.1598 | + | 10.9480i | 0.850118 | + | 0.613934i | ||||
\(319\) | 19.8019 | + | 9.04321i | 1.10869 | + | 0.506323i | ||||
\(320\) | −2.04332 | + | 0.908211i | −0.114225 | + | 0.0507705i | ||||
\(321\) | 4.81302 | + | 6.20480i | 0.268637 | + | 0.346318i | ||||
\(322\) | −21.8710 | − | 7.95119i | −1.21882 | − | 0.443102i | ||||
\(323\) | −14.7932 | −0.823118 | ||||||||
\(324\) | −3.16897 | + | 8.42364i | −0.176054 | + | 0.467980i | ||||
\(325\) | −6.06520 | + | 0.746767i | −0.336437 | + | 0.0414232i | ||||
\(326\) | −4.25388 | − | 14.4874i | −0.235601 | − | 0.802382i | ||||
\(327\) | −25.4726 | − | 1.38338i | −1.40864 | − | 0.0765013i | ||||
\(328\) | −1.65561 | + | 5.63847i | −0.0914155 | + | 0.311333i | ||||
\(329\) | −18.2424 | + | 11.7237i | −1.00574 | + | 0.646347i | ||||
\(330\) | −2.65948 | + | 12.6510i | −0.146400 | + | 0.696416i | ||||
\(331\) | 19.0804 | + | 22.0199i | 1.04875 | + | 1.21032i | 0.977075 | + | 0.212895i | \(0.0682893\pi\) |
0.0716761 | + | 0.997428i | \(0.477165\pi\) | |||||||
\(332\) | 7.40798 | − | 11.5270i | 0.406566 | − | 0.632628i | ||||
\(333\) | −2.32355 | − | 0.966290i | −0.127330 | − | 0.0529523i | ||||
\(334\) | 1.28110 | − | 8.91022i | 0.0700984 | − | 0.487545i | ||||
\(335\) | 1.72627 | − | 5.66582i | 0.0943161 | − | 0.309557i | ||||
\(336\) | 8.24203 | + | 1.64549i | 0.449640 | + | 0.0897687i | ||||
\(337\) | 12.9115 | + | 28.2722i | 0.703333 | + | 1.54009i | 0.835882 | + | 0.548909i | \(0.184957\pi\) |
−0.132549 | + | 0.991176i | \(0.542316\pi\) | |||||||
\(338\) | 9.67966 | − | 6.22074i | 0.526504 | − | 0.338364i | ||||
\(339\) | −3.56520 | − | 9.08013i | −0.193635 | − | 0.493165i | ||||
\(340\) | 5.90377 | − | 12.5879i | 0.320177 | − | 0.682673i | ||||
\(341\) | −16.8793 | + | 4.95622i | −0.914068 | + | 0.268395i | ||||
\(342\) | −4.48637 | + | 5.55120i | −0.242595 | + | 0.300174i | ||||
\(343\) | 6.59238 | + | 45.8510i | 0.355955 | + | 2.47572i | ||||
\(344\) | 0.0806151 | 0.00434648 | ||||||||
\(345\) | 5.50506 | + | 17.7396i | 0.296382 | + | 0.955069i | ||||
\(346\) | 11.9943 | 0.644815 | ||||||||
\(347\) | −3.14886 | − | 21.9008i | −0.169040 | − | 1.17570i | −0.880874 | − | 0.473350i | \(-0.843045\pi\) |
0.711835 | − | 0.702347i | \(-0.247864\pi\) | |||||||
\(348\) | −10.9952 | + | 2.59005i | −0.589405 | + | 0.138841i | ||||
\(349\) | 13.3853 | − | 3.93029i | 0.716501 | − | 0.210384i | 0.0968927 | − | 0.995295i | \(-0.469110\pi\) |
0.619608 | + | 0.784911i | \(0.287291\pi\) | |||||||
\(350\) | −3.93947 | + | 23.9403i | −0.210574 | + | 1.27966i | ||||
\(351\) | −6.30288 | + | 0.778118i | −0.336423 | + | 0.0415329i | ||||
\(352\) | −2.80800 | + | 1.80459i | −0.149667 | + | 0.0961851i | ||||
\(353\) | 10.1537 | + | 22.2336i | 0.540429 | + | 1.18338i | 0.961110 | + | 0.276166i | \(0.0890641\pi\) |
−0.420680 | + | 0.907209i | \(0.638209\pi\) | |||||||
\(354\) | 1.57598 | − | 7.89387i | 0.0837624 | − | 0.419555i | ||||
\(355\) | 18.2013 | + | 5.54559i | 0.966024 | + | 0.294329i | ||||
\(356\) | −0.742531 | + | 5.16442i | −0.0393541 | + | 0.273714i | ||||
\(357\) | −45.4306 | + | 25.8278i | −2.40444 | + | 1.36695i | ||||
\(358\) | 7.72267 | − | 12.0167i | 0.408156 | − | 0.635103i | ||||
\(359\) | −14.6951 | − | 16.9591i | −0.775579 | − | 0.895066i | 0.221202 | − | 0.975228i | \(-0.429002\pi\) |
−0.996782 | + | 0.0801615i | \(0.974456\pi\) | |||||||
\(360\) | −2.93318 | − | 6.03295i | −0.154592 | − | 0.317964i | ||||
\(361\) | 11.2220 | − | 7.21195i | 0.590632 | − | 0.379576i | ||||
\(362\) | −0.755089 | + | 2.57160i | −0.0396866 | + | 0.135160i | ||||
\(363\) | −0.0132838 | + | 0.244598i | −0.000697221 | + | 0.0128381i | ||||
\(364\) | 1.67086 | + | 5.69042i | 0.0875768 | + | 0.298259i | ||||
\(365\) | −1.13537 | + | 7.36534i | −0.0594278 | + | 0.385520i | ||||
\(366\) | 13.1966 | − | 13.6570i | 0.689798 | − | 0.713865i | ||||
\(367\) | 18.1073 | 0.945192 | 0.472596 | − | 0.881279i | \(-0.343317\pi\) | ||||
0.472596 | + | 0.881279i | \(0.343317\pi\) | |||||||
\(368\) | −2.26336 | + | 4.22814i | −0.117986 | + | 0.220407i | ||||
\(369\) | −17.0757 | − | 4.38400i | −0.888928 | − | 0.228222i | ||||
\(370\) | 1.71398 | − | 0.761827i | 0.0891056 | − | 0.0396055i | ||||
\(371\) | 47.6540 | + | 21.7629i | 2.47407 | + | 1.12987i | ||||
\(372\) | 5.34448 | − | 7.40053i | 0.277098 | − | 0.383700i | ||||
\(373\) | −12.3454 | + | 14.2473i | −0.639219 | + | 0.737698i | −0.979236 | − | 0.202721i | \(-0.935021\pi\) |
0.340018 | + | 0.940419i | \(0.389567\pi\) | |||||||
\(374\) | 5.84720 | − | 19.9137i | 0.302352 | − | 1.02972i | ||||
\(375\) | 17.1181 | − | 9.05384i | 0.883973 | − | 0.467538i | ||||
\(376\) | 1.85642 | + | 4.06500i | 0.0957376 | + | 0.209636i | ||||
\(377\) | −5.21988 | − | 6.02407i | −0.268838 | − | 0.310255i | ||||
\(378\) | −4.08590 | + | 24.8808i | −0.210156 | + | 1.27973i | ||||
\(379\) | 13.8020 | + | 1.98442i | 0.708959 | + | 0.101933i | 0.487355 | − | 0.873204i | \(-0.337962\pi\) |
0.221604 | + | 0.975137i | \(0.428871\pi\) | |||||||
\(380\) | −0.703640 | − | 5.27321i | −0.0360960 | − | 0.270510i | ||||
\(381\) | 2.72290 | + | 30.6715i | 0.139499 | + | 1.57135i | ||||
\(382\) | 15.7676 | + | 18.1968i | 0.806743 | + | 0.931031i | ||||
\(383\) | 21.4044 | − | 9.77508i | 1.09372 | − | 0.499483i | 0.214896 | − | 0.976637i | \(-0.431059\pi\) |
0.878820 | + | 0.477154i | \(0.158332\pi\) | |||||||
\(384\) | 0.577380 | − | 1.63298i | 0.0294643 | − | 0.0833328i | ||||
\(385\) | −0.367471 | + | 36.2154i | −0.0187281 | + | 1.84571i | ||||
\(386\) | −17.2773 | − | 14.9708i | −0.879390 | − | 0.761996i | ||||
\(387\) | 0.00829093 | + | 0.241703i | 0.000421452 | + | 0.0122865i | ||||
\(388\) | 3.11035 | − | 6.81073i | 0.157904 | − | 0.345762i | ||||
\(389\) | 3.01858 | + | 20.9947i | 0.153048 | + | 1.06447i | 0.911072 | + | 0.412247i | \(0.135256\pi\) |
−0.758024 | + | 0.652227i | \(0.773835\pi\) | |||||||
\(390\) | 2.81013 | − | 3.80917i | 0.142296 | − | 0.192885i | ||||
\(391\) | −6.58044 | − | 29.0847i | −0.332787 | − | 1.47088i | ||||
\(392\) | 16.5462 | 0.835710 | ||||||||
\(393\) | 10.7525 | − | 11.1276i | 0.542391 | − | 0.561315i | ||||
\(394\) | 1.00575 | − | 2.20230i | 0.0506692 | − | 0.110950i | ||||
\(395\) | −11.7016 | + | 7.35347i | −0.588771 | + | 0.369993i | ||||
\(396\) | −5.69939 | − | 8.23346i | −0.286405 | − | 0.413747i | ||||
\(397\) | −0.194218 | + | 0.661447i | −0.00974755 | + | 0.0331971i | −0.964223 | − | 0.265092i | \(-0.914598\pi\) |
0.954476 | + | 0.298289i | \(0.0964159\pi\) | |||||||
\(398\) | 5.37104 | + | 8.35750i | 0.269226 | + | 0.418924i | ||||
\(399\) | −9.28079 | + | 17.7118i | −0.464621 | + | 0.886699i | ||||
\(400\) | 4.76789 | + | 1.50572i | 0.238395 | + | 0.0752860i | ||||
\(401\) | 10.8465 | + | 6.97064i | 0.541650 | + | 0.348097i | 0.782684 | − | 0.622419i | \(-0.213850\pi\) |
−0.241034 | + | 0.970517i | \(0.577487\pi\) | |||||||
\(402\) | 2.26746 | + | 3.98843i | 0.113091 | + | 0.198925i | ||||
\(403\) | 6.37591 | + | 0.916718i | 0.317607 | + | 0.0456650i | ||||
\(404\) | 9.12729 | − | 14.2023i | 0.454100 | − | 0.706593i | ||||
\(405\) | 17.7865 | − | 9.41483i | 0.883820 | − | 0.467826i | ||||
\(406\) | −28.7870 | + | 13.1466i | −1.42867 | + | 0.652454i | ||||
\(407\) | 2.35541 | − | 1.51373i | 0.116753 | − | 0.0750329i | ||||
\(408\) | 3.93604 | + | 10.0246i | 0.194863 | + | 0.496292i | ||||
\(409\) | 19.9229 | − | 22.9923i | 0.985125 | − | 1.13689i | −0.00545882 | − | 0.999985i | \(-0.501738\pi\) |
0.990584 | − | 0.136909i | \(-0.0437169\pi\) | |||||||
\(410\) | 11.1258 | − | 6.99165i | 0.549465 | − | 0.345293i | ||||
\(411\) | 18.6313 | − | 4.38880i | 0.919012 | − | 0.216484i | ||||
\(412\) | 2.50854 | + | 17.4473i | 0.123587 | + | 0.859567i | ||||
\(413\) | − | 22.5516i | − | 1.10969i | ||||||
\(414\) | −12.9098 | − | 6.35124i | −0.634480 | − | 0.312146i | ||||
\(415\) | −29.4841 | + | 8.33330i | −1.44732 | + | 0.409066i | ||||
\(416\) | 1.20976 | − | 0.173937i | 0.0593133 | − | 0.00852797i | ||||
\(417\) | −1.28207 | − | 5.44260i | −0.0627830 | − | 0.266525i | ||||
\(418\) | −2.23733 | − | 7.61964i | −0.109431 | − | 0.372689i | ||||
\(419\) | −11.9438 | + | 13.7838i | −0.583491 | + | 0.673384i | −0.968352 | − | 0.249590i | \(-0.919704\pi\) |
0.384861 | + | 0.922975i | \(0.374249\pi\) | |||||||
\(420\) | −11.3675 | − | 14.9657i | −0.554677 | − | 0.730253i | ||||
\(421\) | −7.44535 | − | 11.5852i | −0.362864 | − | 0.564627i | 0.611037 | − | 0.791602i | \(-0.290753\pi\) |
−0.973901 | + | 0.226975i | \(0.927116\pi\) | |||||||
\(422\) | 4.80859 | + | 10.5293i | 0.234078 | + | 0.512560i | ||||
\(423\) | −11.9969 | + | 5.98406i | −0.583309 | + | 0.290955i | ||||
\(424\) | 5.83690 | − | 9.08239i | 0.283465 | − | 0.441080i | ||||
\(425\) | −28.5361 | + | 12.3385i | −1.38420 | + | 0.598503i | ||||
\(426\) | −12.8127 | + | 7.28415i | −0.620778 | + | 0.352918i | ||||
\(427\) | 28.7648 | − | 44.7589i | 1.39203 | − | 2.16603i | ||||
\(428\) | 3.42638 | − | 2.96898i | 0.165620 | − | 0.143511i | ||||
\(429\) | 3.27955 | − | 6.25881i | 0.158338 | − | 0.302178i | ||||
\(430\) | −0.135027 | − | 0.119422i | −0.00651160 | − | 0.00575904i | ||||
\(431\) | 15.1604 | + | 4.45149i | 0.730249 | + | 0.214421i | 0.625661 | − | 0.780095i | \(-0.284829\pi\) |
0.104588 | + | 0.994516i | \(0.466648\pi\) | |||||||
\(432\) | 4.95545 | + | 1.56317i | 0.238419 | + | 0.0752083i | ||||
\(433\) | 7.25996 | − | 2.13172i | 0.348892 | − | 0.102444i | −0.102591 | − | 0.994724i | \(-0.532713\pi\) |
0.451483 | + | 0.892280i | \(0.350895\pi\) | |||||||
\(434\) | 10.6240 | − | 23.2632i | 0.509966 | − | 1.11667i | ||||
\(435\) | 22.2534 | + | 11.9499i | 1.06697 | + | 0.572954i | ||||
\(436\) | 14.7283i | 0.705356i | ||||||||
\(437\) | −8.13483 | − | 8.00081i | −0.389142 | − | 0.382731i | ||||
\(438\) | −3.53808 | − | 4.56118i | −0.169056 | − | 0.217942i | ||||
\(439\) | −0.819397 | − | 5.69903i | −0.0391077 | − | 0.272000i | 0.960880 | − | 0.276965i | \(-0.0893286\pi\) |
−0.999988 | + | 0.00496511i | \(0.998420\pi\) | |||||||
\(440\) | 7.37659 | + | 1.13710i | 0.351665 | + | 0.0542092i | ||||
\(441\) | 1.70171 | + | 49.6095i | 0.0810338 | + | 2.36236i | ||||
\(442\) | −4.97659 | + | 5.74329i | −0.236712 | + | 0.273180i | ||||
\(443\) | 5.18802 | + | 1.52334i | 0.246490 | + | 0.0723760i | 0.402644 | − | 0.915357i | \(-0.368091\pi\) |
−0.156154 | + | 0.987733i | \(0.549910\pi\) | |||||||
\(444\) | −0.484318 | + | 1.36978i | −0.0229847 | + | 0.0650069i | ||||
\(445\) | 8.89420 | − | 7.55023i | 0.421625 | − | 0.357915i | ||||
\(446\) | −1.25062 | + | 1.08367i | −0.0592188 | + | 0.0513134i | ||||
\(447\) | −17.6004 | + | 1.56250i | −0.832471 | + | 0.0739037i | ||||
\(448\) | 0.690575 | − | 4.80305i | 0.0326266 | − | 0.226923i | ||||
\(449\) | 17.6544 | + | 2.53831i | 0.833160 | + | 0.119790i | 0.545677 | − | 0.837995i | \(-0.316272\pi\) |
0.287483 | + | 0.957786i | \(0.407181\pi\) | |||||||
\(450\) | −4.02415 | + | 14.4501i | −0.189700 | + | 0.681186i | ||||
\(451\) | 14.8241 | − | 12.8451i | 0.698039 | − | 0.604854i | ||||
\(452\) | −5.12308 | + | 2.33963i | −0.240969 | + | 0.110047i | ||||
\(453\) | −5.38138 | + | 15.2200i | −0.252839 | + | 0.715097i | ||||
\(454\) | −3.57098 | + | 12.1616i | −0.167594 | + | 0.570774i | ||||
\(455\) | 5.63107 | − | 12.0064i | 0.263989 | − | 0.562870i | ||||
\(456\) | 3.34073 | + | 2.41259i | 0.156444 | + | 0.112980i | ||||
\(457\) | −9.77133 | + | 21.3962i | −0.457083 | + | 1.00087i | 0.531059 | + | 0.847335i | \(0.321794\pi\) |
−0.988143 | + | 0.153538i | \(0.950933\pi\) | |||||||
\(458\) | 15.9444 | − | 2.29245i | 0.745031 | − | 0.107119i | ||||
\(459\) | −29.6514 | + | 12.8322i | −1.38401 | + | 0.598955i | ||||
\(460\) | 10.0545 | − | 3.72908i | 0.468796 | − | 0.173869i | ||||
\(461\) | − | 1.49932i | − | 0.0698304i | −0.999390 | − | 0.0349152i | \(-0.988884\pi\) | ||
0.999390 | − | 0.0349152i | \(-0.0111161\pi\) | |||||||
\(462\) | −20.1742 | − | 19.4940i | −0.938588 | − | 0.906945i | ||||
\(463\) | −1.31129 | − | 0.598848i | −0.0609410 | − | 0.0278308i | 0.384711 | − | 0.923037i | \(-0.374301\pi\) |
−0.445652 | + | 0.895206i | \(0.647028\pi\) | |||||||
\(464\) | 1.83741 | + | 6.25766i | 0.0852998 | + | 0.290504i | ||||
\(465\) | −19.9148 | + | 4.47839i | −0.923528 | + | 0.207680i | ||||
\(466\) | 5.44186 | + | 1.59787i | 0.252089 | + | 0.0740201i | ||||
\(467\) | 15.2039 | + | 23.6578i | 0.703555 | + | 1.09475i | 0.990594 | + | 0.136834i | \(0.0436926\pi\) |
−0.287039 | + | 0.957919i | \(0.592671\pi\) | |||||||
\(468\) | 0.645923 | + | 3.60925i | 0.0298578 | + | 0.166838i | ||||
\(469\) | 8.41713 | + | 9.71388i | 0.388667 | + | 0.448545i | ||||
\(470\) | 2.91238 | − | 9.55879i | 0.134338 | − | 0.440914i | ||||
\(471\) | 9.17272 | + | 16.1347i | 0.422657 | + | 0.743446i | ||||
\(472\) | −4.60017 | − | 0.661404i | −0.211740 | − | 0.0304436i | ||||
\(473\) | −0.226367 | − | 0.145478i | −0.0104084 | − | 0.00668906i | ||||
\(474\) | 2.09588 | − | 10.4980i | 0.0962669 | − | 0.482188i | ||||
\(475\) | −6.63307 | + | 9.87479i | −0.304346 | + | 0.453086i | ||||
\(476\) | 16.3121 | + | 25.3821i | 0.747665 | + | 1.16339i | ||||
\(477\) | 27.8315 | + | 16.5663i | 1.27432 | + | 0.758520i | ||||
\(478\) | 5.58674 | + | 4.84094i | 0.255532 | + | 0.221419i | ||||
\(479\) | 28.1512 | − | 8.26594i | 1.28626 | − | 0.377680i | 0.434055 | − | 0.900886i | \(-0.357082\pi\) |
0.852206 | + | 0.523206i | \(0.175264\pi\) | |||||||
\(480\) | −3.38616 | + | 1.87987i | −0.154557 | + | 0.0858037i | ||||
\(481\) | −1.01477 | + | 0.145902i | −0.0462696 | + | 0.00665257i | ||||
\(482\) | − | 10.3737i | − | 0.472508i | ||||||
\(483\) | −38.9512 | − | 10.3681i | −1.77234 | − | 0.471764i | ||||
\(484\) | 0.141427 | 0.00642850 | ||||||||
\(485\) | −15.2990 | + | 6.80009i | −0.694693 | + | 0.308776i | ||||
\(486\) | −4.17712 | + | 15.0184i | −0.189478 | + | 0.681247i | ||||
\(487\) | −10.5266 | − | 35.8502i | −0.477005 | − | 1.62453i | −0.749240 | − | 0.662298i | \(-0.769581\pi\) |
0.272235 | − | 0.962231i | \(-0.412237\pi\) | |||||||
\(488\) | −8.28647 | − | 7.18027i | −0.375111 | − | 0.325036i | ||||
\(489\) | −9.55800 | − | 24.3430i | −0.432228 | − | 1.10083i | ||||
\(490\) | −27.7143 | − | 24.5113i | −1.25201 | − | 1.10731i | ||||
\(491\) | 3.12892 | − | 1.42893i | 0.141206 | − | 0.0644867i | −0.343559 | − | 0.939131i | \(-0.611632\pi\) |
0.484765 | + | 0.874645i | \(0.338905\pi\) | |||||||
\(492\) | −1.99275 | + | 9.98144i | −0.0898403 | + | 0.449998i | ||||
\(493\) | −34.1144 | − | 21.9240i | −1.53644 | − | 0.987407i | ||||
\(494\) | −0.413823 | + | 2.87820i | −0.0186188 | + | 0.129496i | ||||
\(495\) | −2.65065 | + | 22.2337i | −0.119138 | + | 0.999331i | ||||
\(496\) | −4.43374 | − | 2.84939i | −0.199081 | − | 0.127942i | ||||
\(497\) | −31.2056 | + | 27.0398i | −1.39976 | + | 1.21290i | ||||
\(498\) | 11.0152 | − | 21.0218i | 0.493604 | − | 0.942010i | ||||
\(499\) | −34.7028 | + | 22.3022i | −1.55351 | + | 0.998382i | −0.569148 | + | 0.822235i | \(0.692727\pi\) |
−0.984364 | + | 0.176147i | \(0.943637\pi\) | |||||||
\(500\) | −5.75549 | − | 9.58511i | −0.257394 | − | 0.428659i | ||||
\(501\) | 0.845518 | − | 15.5687i | 0.0377749 | − | 0.695558i | ||||
\(502\) | −2.68372 | + | 0.788012i | −0.119780 | + | 0.0351707i | ||||
\(503\) | 15.8125 | + | 7.22133i | 0.705045 | + | 0.321983i | 0.735473 | − | 0.677554i | \(-0.236960\pi\) |
−0.0304282 | + | 0.999537i | \(0.509687\pi\) | |||||||
\(504\) | 14.4717 | + | 1.57653i | 0.644621 | + | 0.0702244i | ||||
\(505\) | −36.3270 | + | 10.2674i | −1.61653 | + | 0.456892i | ||||
\(506\) | 13.9856 | − | 7.78819i | 0.621736 | − | 0.346227i | ||||
\(507\) | 15.7472 | − | 12.2150i | 0.699357 | − | 0.542487i | ||||
\(508\) | 17.5969 | − | 2.53005i | 0.780736 | − | 0.112253i | ||||
\(509\) | −0.466876 | − | 0.213215i | −0.0206939 | − | 0.00945060i | 0.405041 | − | 0.914298i | \(-0.367257\pi\) |
−0.425735 | + | 0.904848i | \(0.639984\pi\) | |||||||
\(510\) | 8.25758 | − | 22.6216i | 0.365652 | − | 1.00170i | ||||
\(511\) | −12.2221 | − | 10.5905i | −0.540674 | − | 0.468497i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −6.88995 | + | 10.2644i | −0.304199 | + | 0.453186i | ||||
\(514\) | −9.54202 | − | 20.8941i | −0.420880 | − | 0.921599i | ||||
\(515\) | 21.6444 | − | 32.9397i | 0.953768 | − | 1.45150i | ||||
\(516\) | 0.139083 | − | 0.0123472i | 0.00612277 | − | 0.000543557i | ||||
\(517\) | 2.12283 | − | 14.7646i | 0.0933619 | − | 0.649346i | ||||
\(518\) | −0.579269 | + | 4.02891i | −0.0254516 | + | 0.177020i | ||||
\(519\) | 20.6933 | − | 1.83707i | 0.908334 | − | 0.0806386i | ||||
\(520\) | −2.28397 | − | 1.50078i | −0.100159 | − | 0.0658135i | ||||
\(521\) | −8.65873 | − | 18.9600i | −0.379346 | − | 0.830652i | −0.998953 | − | 0.0457398i | \(-0.985435\pi\) |
0.619607 | − | 0.784912i | \(-0.287292\pi\) | |||||||
\(522\) | −18.5730 | + | 6.15258i | −0.812917 | + | 0.269291i | ||||
\(523\) | 9.22426 | + | 2.70849i | 0.403349 | + | 0.118434i | 0.477113 | − | 0.878842i | \(-0.341683\pi\) |
−0.0737644 | + | 0.997276i | \(0.523501\pi\) | |||||||
\(524\) | −6.75174 | − | 5.85041i | −0.294951 | − | 0.255576i | ||||
\(525\) | −3.12988 | + | 41.9067i | −0.136599 | + | 1.82896i | ||||
\(526\) | −10.8390 | − | 4.95000i | −0.472602 | − | 0.215830i | ||||
\(527\) | 32.4370 | − | 4.66374i | 1.41298 | − | 0.203156i | ||||
\(528\) | −4.56815 | + | 3.54348i | −0.198803 | + | 0.154210i | ||||
\(529\) | 12.1116 | − | 19.5527i | 0.526593 | − | 0.850117i | ||||
\(530\) | −23.2311 | + | 6.56598i | −1.00909 | + | 0.285208i | ||||
\(531\) | 1.50994 | − | 13.8604i | 0.0655257 | − | 0.601491i | ||||
\(532\) | 10.5014 | + | 4.79584i | 0.455295 | + | 0.207926i | ||||
\(533\) | −6.89134 | + | 2.02348i | −0.298497 | + | 0.0876466i | ||||
\(534\) | −0.490067 | + | 9.02372i | −0.0212073 | + | 0.390494i | ||||
\(535\) | −10.1373 | − | 0.102861i | −0.438272 | − | 0.00444706i | ||||
\(536\) | 2.22834 | − | 1.43207i | 0.0962496 | − | 0.0618559i | ||||
\(537\) | 11.4831 | − | 21.9148i | 0.495534 | − | 0.945695i | ||||
\(538\) | 4.49403 | − | 3.89410i | 0.193751 | − | 0.167886i | ||||
\(539\) | −46.4618 | − | 29.8592i | −2.00125 | − | 1.28613i | ||||
\(540\) | −5.98453 | − | 9.95918i | −0.257533 | − | 0.428575i | ||||
\(541\) | −1.91788 | + | 13.3391i | −0.0824561 | + | 0.573495i | 0.906149 | + | 0.422959i | \(0.139009\pi\) |
−0.988605 | + | 0.150535i | \(0.951900\pi\) | |||||||
\(542\) | −2.66028 | − | 1.70966i | −0.114269 | − | 0.0734362i | ||||
\(543\) | −0.908857 | + | 4.55234i | −0.0390028 | + | 0.195360i | ||||
\(544\) | 5.65596 | − | 2.58299i | 0.242497 | − | 0.110745i | ||||
\(545\) | 21.8182 | − | 24.6693i | 0.934590 | − | 1.05672i | ||||
\(546\) | 3.75423 | + | 9.56157i | 0.160666 | + | 0.409198i | ||||
\(547\) | 13.1168 | + | 11.3658i | 0.560834 | + | 0.485965i | 0.888530 | − | 0.458818i | \(-0.151727\pi\) |
−0.327697 | + | 0.944783i | \(0.606272\pi\) | |||||||
\(548\) | −3.11348 | − | 10.6035i | −0.133001 | − | 0.452960i | ||||
\(549\) | 20.6759 | − | 25.5833i | 0.882427 | − | 1.09187i | ||||
\(550\) | −10.6710 | − | 12.8322i | −0.455015 | − | 0.547166i | ||||
\(551\) | −15.5164 | −0.661023 | ||||||||
\(552\) | −3.25730 | + | 7.64133i | −0.138640 | + | 0.325237i | ||||
\(553\) | − | 29.9911i | − | 1.27535i | ||||||
\(554\) | −32.0354 | + | 4.60600i | −1.36105 | + | 0.195690i | ||||
\(555\) | 2.84039 | − | 1.57687i | 0.120568 | − | 0.0669345i | ||||
\(556\) | −3.09752 | + | 0.909515i | −0.131364 | + | 0.0385720i | ||||
\(557\) | −1.24654 | − | 1.08014i | −0.0528178 | − | 0.0457669i | 0.628052 | − | 0.778171i | \(-0.283853\pi\) |
−0.680870 | + | 0.732405i | \(0.738398\pi\) | |||||||
\(558\) | 8.08716 | − | 13.5865i | 0.342357 | − | 0.575160i | ||||
\(559\) | 0.0532681 | + | 0.0828868i | 0.00225300 | + | 0.00350574i | ||||
\(560\) | −8.27186 | + | 7.02193i | −0.349550 | + | 0.296731i | ||||
\(561\) | 7.03794 | − | 35.2521i | 0.297142 | − | 1.48834i | ||||
\(562\) | 3.97060 | + | 2.55175i | 0.167489 | + | 0.107639i | ||||
\(563\) | 10.1569 | + | 1.46034i | 0.428061 | + | 0.0615458i | 0.352978 | − | 0.935632i | \(-0.385169\pi\) |
0.0750823 | + | 0.997177i | \(0.476078\pi\) | |||||||
\(564\) | 3.82543 | + | 6.72886i | 0.161079 | + | 0.283336i | ||||
\(565\) | 12.0469 | + | 3.67045i | 0.506815 | + | 0.154417i | ||||
\(566\) | −7.67868 | − | 8.86166i | −0.322759 | − | 0.372484i | ||||
\(567\) | −3.23846 | + | 43.5518i | −0.136003 | + | 1.82900i | ||||
\(568\) | 4.60047 | + | 7.15847i | 0.193032 | + | 0.300363i | ||||
\(569\) | 8.71612 | + | 2.55928i | 0.365399 | + | 0.107291i | 0.459277 | − | 0.888293i | \(-0.348108\pi\) |
−0.0938787 | + | 0.995584i | \(0.529927\pi\) | |||||||
\(570\) | −2.02162 | − | 8.98991i | −0.0846765 | − | 0.376546i | ||||
\(571\) | −0.652046 | − | 2.22066i | −0.0272873 | − | 0.0929319i | 0.944724 | − | 0.327868i | \(-0.106330\pi\) |
−0.972011 | + | 0.234936i | \(0.924512\pi\) | |||||||
\(572\) | −3.71089 | − | 1.69471i | −0.155160 | − | 0.0708592i | ||||
\(573\) | 29.9904 | + | 28.9793i | 1.25287 | + | 1.21063i | ||||
\(574\) | 28.5155i | 1.19021i | ||||||||
\(575\) | −22.3652 | − | 8.64858i | −0.932693 | − | 0.360671i | ||||
\(576\) | 0.746021 | − | 2.90576i | 0.0310842 | − | 0.121073i | ||||
\(577\) | −46.6498 | + | 6.70723i | −1.94206 | + | 0.279226i | −0.998629 | − | 0.0523524i | \(-0.983328\pi\) |
−0.943428 | + | 0.331578i | \(0.892419\pi\) | |||||||
\(578\) | −8.99862 | + | 19.7042i | −0.374293 | + | 0.819588i | ||||
\(579\) | −32.1008 | − | 23.1824i | −1.33407 | − | 0.963429i | ||||
\(580\) | 6.19239 | − | 13.2033i | 0.257125 | − | 0.548236i | ||||
\(581\) | 18.7322 | − | 63.7960i | 0.777142 | − | 2.64670i | ||||
\(582\) | 4.32304 | − | 12.2267i | 0.179196 | − | 0.506813i | ||||
\(583\) | −32.7800 | + | 14.9701i | −1.35761 | + | 0.620000i | ||||
\(584\) | −2.51875 | + | 2.18251i | −0.104227 | + | 0.0903129i | ||||
\(585\) | 4.26479 | − | 7.00223i | 0.176328 | − | 0.289506i | ||||
\(586\) | 1.57999 | + | 0.227168i | 0.0652688 | + | 0.00938424i | ||||
\(587\) | −3.64962 | + | 25.3837i | −0.150636 | + | 1.04770i | 0.764521 | + | 0.644599i | \(0.222976\pi\) |
−0.915157 | + | 0.403097i | \(0.867934\pi\) | |||||||
\(588\) | 28.5466 | − | 2.53426i | 1.17724 | − | 0.104511i | ||||
\(589\) | 9.47641 | − | 8.21135i | 0.390469 | − | 0.338343i | ||||
\(590\) | 6.72532 | + | 7.92244i | 0.276877 | + | 0.326162i | ||||
\(591\) | 1.39788 | − | 3.95359i | 0.0575013 | − | 0.162629i | ||||
\(592\) | 0.804844 | + | 0.236323i | 0.0330789 | + | 0.00971283i | ||||
\(593\) | −0.557126 | + | 0.642958i | −0.0228784 | + | 0.0264031i | −0.767073 | − | 0.641559i | \(-0.778288\pi\) |
0.744195 | + | 0.667962i | \(0.232833\pi\) | |||||||
\(594\) | −11.0940 | − | 13.3320i | −0.455193 | − | 0.547017i | ||||
\(595\) | 10.2785 | − | 66.6787i | 0.421378 | − | 2.73356i | ||||
\(596\) | 1.45183 | + | 10.0977i | 0.0594694 | + | 0.413619i | ||||
\(597\) | 10.5465 | + | 13.5963i | 0.431641 | + | 0.556458i | ||||
\(598\) | −5.84285 | + | 0.466694i | −0.238932 | + | 0.0190845i | ||||
\(599\) | − | 0.0217945i | − | 0.000890501i | −1.00000 | 0.000445250i | \(-0.999858\pi\) | |||
1.00000 | 0.000445250i | \(-0.000141728\pi\) | ||||||||
\(600\) | 8.45650 | + | 1.86750i | 0.345235 | + | 0.0762406i | ||||
\(601\) | 6.82025 | − | 14.9343i | 0.278204 | − | 0.609181i | −0.718018 | − | 0.696024i | \(-0.754951\pi\) |
0.996222 | + | 0.0868431i | \(0.0276779\pi\) | |||||||
\(602\) | 0.375335 | − | 0.110208i | 0.0152975 | − | 0.00449175i | ||||
\(603\) | 4.52285 | + | 6.53381i | 0.184185 | + | 0.266077i | ||||
\(604\) | 8.94281 | + | 2.62585i | 0.363878 | + | 0.106844i | ||||
\(605\) | −0.236885 | − | 0.209508i | −0.00963075 | − | 0.00851770i | ||||
\(606\) | 13.5717 | − | 25.9008i | 0.551314 | − | 1.05215i | ||||
\(607\) | −19.5482 | + | 16.9386i | −0.793435 | + | 0.687516i | −0.954098 | − | 0.299494i | \(-0.903182\pi\) |
0.160663 | + | 0.987009i | \(0.448637\pi\) | |||||||
\(608\) | 1.28627 | − | 2.00147i | 0.0521650 | − | 0.0811703i | ||||
\(609\) | −47.6517 | + | 27.0904i | −1.93094 | + | 1.09776i | ||||
\(610\) | 3.24280 | + | 24.3021i | 0.131297 | + | 0.983965i | ||||
\(611\) | −2.95288 | + | 4.59476i | −0.119461 | + | 0.185884i | ||||
\(612\) | 8.32611 | + | 16.6923i | 0.336563 | + | 0.674745i | ||||
\(613\) | 15.0218 | + | 32.8931i | 0.606724 | + | 1.32854i | 0.924792 | + | 0.380472i | \(0.124239\pi\) |
−0.318068 | + | 0.948068i | \(0.603034\pi\) | |||||||
\(614\) | 0.459279 | + | 0.714652i | 0.0185350 | + | 0.0288410i | ||||
\(615\) | 18.1241 | − | 13.7665i | 0.730836 | − | 0.555119i | ||||
\(616\) | −10.6067 | + | 12.2408i | −0.427356 | + | 0.493195i | ||||
\(617\) | −5.79065 | − | 19.7211i | −0.233123 | − | 0.793943i | −0.990083 | − | 0.140482i | \(-0.955135\pi\) |
0.756961 | − | 0.653461i | \(-0.226683\pi\) | |||||||
\(618\) | 7.00018 | + | 29.7170i | 0.281588 | + | 1.19539i | ||||
\(619\) | −11.4223 | + | 1.64227i | −0.459099 | + | 0.0660085i | −0.367985 | − | 0.929832i | \(-0.619952\pi\) |
−0.0911146 | + | 0.995840i | \(0.529043\pi\) | |||||||
\(620\) | 3.20531 | + | 11.3407i | 0.128728 | + | 0.455454i | ||||
\(621\) | −23.2455 | − | 8.98028i | −0.932811 | − | 0.360366i | ||||
\(622\) | − | 14.7921i | − | 0.593111i | ||||||
\(623\) | 3.60309 | + | 25.0600i | 0.144355 | + | 1.00401i | ||||
\(624\) | 2.06051 | − | 0.485378i | 0.0824866 | − | 0.0194307i | ||||
\(625\) | −4.55898 | + | 24.5808i | −0.182359 | + | 0.983232i | ||||
\(626\) | −21.6863 | + | 25.0273i | −0.866758 | + | 1.00029i | ||||
\(627\) | −5.02703 | − | 12.8032i | −0.200760 | − | 0.511312i | ||||
\(628\) | 9.01446 | − | 5.79324i | 0.359716 | − | 0.231175i | ||||
\(629\) | −4.74434 | + | 2.16667i | −0.189169 | + | 0.0863908i | ||||
\(630\) | −21.9041 | − | 24.0788i | −0.872682 | − | 0.959322i | ||||
\(631\) | −1.42084 | + | 2.21088i | −0.0565629 | + | 0.0880136i | −0.868383 | − | 0.495894i | \(-0.834841\pi\) |
0.811820 | + | 0.583907i | \(0.198477\pi\) | |||||||
\(632\) | −6.11771 | − | 0.879594i | −0.243350 | − | 0.0349884i | ||||
\(633\) | 9.90879 | + | 17.4294i | 0.393839 | + | 0.692757i | ||||
\(634\) | −17.5544 | − | 11.2815i | −0.697175 | − | 0.448047i | ||||
\(635\) | −33.2221 | − | 21.8300i | −1.31838 | − | 0.866298i | ||||
\(636\) | 8.67912 | − | 16.5635i | 0.344149 | − | 0.656787i | ||||
\(637\) | 10.9333 | + | 17.0125i | 0.433191 | + | 0.674059i | ||||
\(638\) | 6.13306 | − | 20.8873i | 0.242810 | − | 0.826936i | ||||
\(639\) | −20.9897 | + | 14.5295i | −0.830338 | + | 0.574779i | ||||
\(640\) | 1.18976 | + | 1.89327i | 0.0470294 | + | 0.0748380i | ||||
\(641\) | −16.0864 | + | 35.2243i | −0.635375 | + | 1.39128i | 0.268417 | + | 0.963303i | \(0.413500\pi\) |
−0.903791 | + | 0.427973i | \(0.859228\pi\) | |||||||
\(642\) | 5.45668 | − | 5.64707i | 0.215358 | − | 0.222872i | ||||
\(643\) | −26.9435 | −1.06255 | −0.531275 | − | 0.847200i | \(-0.678287\pi\) | ||||
−0.531275 | + | 0.847200i | \(0.678287\pi\) | |||||||
\(644\) | −4.75769 | + | 22.7800i | −0.187479 | + | 0.897657i | ||||
\(645\) | −0.251249 | − | 0.185353i | −0.00989292 | − | 0.00729829i | ||||
\(646\) | 2.10530 | + | 14.6427i | 0.0828318 | + | 0.576108i | ||||
\(647\) | −18.5997 | + | 40.7277i | −0.731230 | + | 1.60117i | 0.0662342 | + | 0.997804i | \(0.478902\pi\) |
−0.797464 | + | 0.603366i | \(0.793826\pi\) | |||||||
\(648\) | 8.78889 | + | 1.93790i | 0.345260 | + | 0.0761280i | ||||
\(649\) | 11.7237 | + | 10.1587i | 0.460196 | + | 0.398762i | ||||
\(650\) | 1.60233 | + | 5.89718i | 0.0628487 | + | 0.231307i | ||||
\(651\) | 14.7661 | − | 41.7624i | 0.578729 | − | 1.63680i | ||||
\(652\) | −13.7345 | + | 6.27235i | −0.537886 | + | 0.245644i | ||||
\(653\) | 6.13103 | + | 7.07558i | 0.239926 | + | 0.276889i | 0.862923 | − | 0.505335i | \(-0.168631\pi\) |
−0.622998 | + | 0.782224i | \(0.714085\pi\) | |||||||
\(654\) | 2.25582 | + | 25.4102i | 0.0882096 | + | 0.993616i | ||||
\(655\) | 2.64220 | + | 19.8011i | 0.103239 | + | 0.773695i | ||||
\(656\) | 5.81670 | + | 0.836315i | 0.227104 | + | 0.0326526i | ||||
\(657\) | −6.80273 | − | 7.32735i | −0.265400 | − | 0.285867i | ||||
\(658\) | 14.2005 | + | 16.3883i | 0.553594 | + | 0.638881i | ||||
\(659\) | 12.1960 | + | 26.7055i | 0.475088 | + | 1.04030i | 0.983785 | + | 0.179352i | \(0.0574001\pi\) |
−0.508697 | + | 0.860946i | \(0.669873\pi\) | |||||||
\(660\) | 12.9007 | + | 0.831984i | 0.502161 | + | 0.0323849i | ||||
\(661\) | 1.95949 | − | 6.67340i | 0.0762152 | − | 0.259565i | −0.912568 | − | 0.408926i | \(-0.865903\pi\) |
0.988783 | + | 0.149361i | \(0.0477216\pi\) | |||||||
\(662\) | 19.0804 | − | 22.0199i | 0.741579 | − | 0.855828i | ||||
\(663\) | −7.70628 | + | 10.6709i | −0.299287 | + | 0.414424i | ||||
\(664\) | −12.4640 | − | 5.69211i | −0.483696 | − | 0.220897i | ||||
\(665\) | −10.4850 | − | 23.5895i | −0.406592 | − | 0.914762i | ||||
\(666\) | −0.625779 | + | 2.43742i | −0.0242484 | + | 0.0944480i | ||||
\(667\) | −6.90214 | − | 30.5066i | −0.267252 | − | 1.18122i | ||||
\(668\) | −9.00184 | −0.348292 | ||||||||
\(669\) | −1.99168 | + | 2.06117i | −0.0770028 | + | 0.0796895i | ||||
\(670\) | −5.85383 | − | 0.902367i | −0.226153 | − | 0.0348615i | ||||
\(671\) | 10.3110 | + | 35.1159i | 0.398050 | + | 1.35563i | ||||
\(672\) | 0.455776 | − | 8.39231i | 0.0175820 | − | 0.323741i | ||||
\(673\) | 7.36965 | − | 25.0987i | 0.284079 | − | 0.967485i | −0.686586 | − | 0.727049i | \(-0.740891\pi\) |
0.970665 | − | 0.240436i | \(-0.0772905\pi\) | |||||||
\(674\) | 26.1469 | − | 16.8036i | 1.00714 | − | 0.647251i | ||||
\(675\) | −4.72950 | + | 25.5467i | −0.182039 | + | 0.983291i | ||||
\(676\) | −7.53498 | − | 8.69583i | −0.289807 | − | 0.334455i | ||||
\(677\) | 25.1682 | − | 39.1626i | 0.967294 | − | 1.50514i | 0.107686 | − | 0.994185i | \(-0.465656\pi\) |
0.859608 | − | 0.510954i | \(-0.170708\pi\) | |||||||
\(678\) | −8.48033 | + | 4.82115i | −0.325685 | + | 0.185155i | ||||
\(679\) | 5.17057 | − | 35.9621i | 0.198428 | − | 1.38010i | ||||
\(680\) | −13.2999 | − | 4.05224i | −0.510029 | − | 0.155396i | ||||
\(681\) | −4.29818 | + | 21.5290i | −0.164707 | + | 0.824993i | ||||
\(682\) | 7.30796 | + | 16.0022i | 0.279836 | + | 0.612756i | ||||
\(683\) | 11.6957 | − | 7.51640i | 0.447525 | − | 0.287607i | −0.297403 | − | 0.954752i | \(-0.596120\pi\) |
0.744928 | + | 0.667145i | \(0.232484\pi\) | |||||||
\(684\) | 6.13317 | + | 3.65069i | 0.234508 | + | 0.139588i | ||||
\(685\) | −10.4929 | + | 22.3728i | −0.400914 | + | 0.854819i | ||||
\(686\) | 44.4461 | − | 13.0506i | 1.69696 | − | 0.498273i | ||||
\(687\) | 27.1571 | − | 6.39717i | 1.03611 | − | 0.244067i | ||||
\(688\) | −0.0114727 | − | 0.0797946i | −0.000437394 | − | 0.00304214i | ||||
\(689\) | 13.1952 | 0.502696 | ||||||||
\(690\) | 16.7756 | − | 7.97364i | 0.638637 | − | 0.303551i | ||||
\(691\) | −48.1594 | −1.83207 | −0.916035 | − | 0.401099i | \(-0.868628\pi\) | ||||
−0.916035 | + | 0.401099i | \(0.868628\pi\) | |||||||
\(692\) | −1.70696 | − | 11.8722i | −0.0648889 | − | 0.451312i | ||||
\(693\) | −37.7916 | − | 30.5425i | −1.43558 | − | 1.16021i | ||||
\(694\) | −21.2298 | + | 6.23362i | −0.805871 | + | 0.236625i | ||||
\(695\) | 6.53558 | + | 3.06522i | 0.247909 | + | 0.116270i | ||||
\(696\) | 4.12847 | + | 10.5147i | 0.156489 | + | 0.398559i | ||||
\(697\) | −30.7388 | + | 19.7547i | −1.16432 | + | 0.748261i | ||||
\(698\) | −5.79522 | − | 12.6898i | −0.219352 | − | 0.480315i | ||||
\(699\) | 9.63338 | + | 1.92327i | 0.364368 | + | 0.0727446i | ||||
\(700\) | 24.2572 | + | 0.492318i | 0.916837 | + | 0.0186079i | ||||
\(701\) | 3.67381 | − | 25.5519i | 0.138758 | − | 0.965083i | −0.794855 | − | 0.606799i | \(-0.792453\pi\) |
0.933613 | − | 0.358283i | \(-0.116638\pi\) | |||||||
\(702\) | 1.66719 | + | 6.12799i | 0.0629241 | + | 0.231286i | ||||
\(703\) | −1.07895 | + | 1.67888i | −0.0406933 | + | 0.0633200i | ||||
\(704\) | 2.18584 | + | 2.52260i | 0.0823821 | + | 0.0950740i | ||||
\(705\) | 3.56058 | − | 16.9375i | 0.134099 | − | 0.637904i | ||||
\(706\) | 20.5623 | − | 13.2146i | 0.773871 | − | 0.497337i | ||||
\(707\) | 23.0797 | − | 78.6023i | 0.868003 | − | 2.95615i | ||||
\(708\) | −8.03781 | − | 0.436524i | −0.302079 | − | 0.0164056i | ||||
\(709\) | −1.69608 | − | 5.77633i | −0.0636977 | − | 0.216934i | 0.921493 | − | 0.388394i | \(-0.126970\pi\) |
−0.985191 | + | 0.171459i | \(0.945152\pi\) | |||||||
\(710\) | 2.89883 | − | 18.8052i | 0.108791 | − | 0.705748i | ||||
\(711\) | 2.00805 | − | 18.4328i | 0.0753078 | − | 0.691285i | ||||
\(712\) | 5.21752 | 0.195535 | ||||||||
\(713\) | 20.3595 | + | 14.9787i | 0.762471 | + | 0.560958i | ||||
\(714\) | 32.0303 | + | 41.2925i | 1.19870 | + | 1.54533i | ||||
\(715\) | 3.70509 | + | 8.33582i | 0.138563 | + | 0.311742i | ||||
\(716\) | −12.9934 | − | 5.93391i | −0.485588 | − | 0.221761i | ||||
\(717\) | 10.3801 | + | 7.49622i | 0.387651 | + | 0.279952i | ||||
\(718\) | −14.6951 | + | 16.9591i | −0.548418 | + | 0.632908i | ||||
\(719\) | −9.67608 | + | 32.9537i | −0.360857 | + | 1.22897i | 0.556482 | + | 0.830859i | \(0.312151\pi\) |
−0.917339 | + | 0.398106i | \(0.869668\pi\) | |||||||
\(720\) | −5.55411 | + | 3.76190i | −0.206989 | + | 0.140198i | ||||
\(721\) | 35.5315 | + | 77.8032i | 1.32326 | + | 2.89754i | ||||
\(722\) | −8.73560 | − | 10.0814i | −0.325105 | − | 0.375192i | ||||
\(723\) | −1.58886 | − | 17.8973i | −0.0590903 | − | 0.665609i | ||||
\(724\) | 2.65288 | + | 0.381427i | 0.0985936 | + | 0.0141756i | ||||
\(725\) | −29.9311 | + | 12.9417i | −1.11161 | + | 0.480641i | ||||
\(726\) | 0.243999 | − | 0.0216614i | 0.00905566 | − | 0.000803928i | ||||
\(727\) | 1.34472 | + | 1.55190i | 0.0498731 | + | 0.0575566i | 0.780138 | − | 0.625607i | \(-0.215149\pi\) |
−0.730265 | + | 0.683164i | \(0.760603\pi\) | |||||||
\(728\) | 5.39471 | − | 2.46368i | 0.199941 | − | 0.0913101i | ||||
\(729\) | −4.90639 | + | 26.5505i | −0.181718 | + | 0.983351i | ||||
\(730\) | 7.45195 | + | 0.0756135i | 0.275809 | + | 0.00279858i | ||||
\(731\) | 0.378822 | + | 0.328251i | 0.0140112 | + | 0.0121408i | ||||
\(732\) | −15.3961 | − | 11.1187i | −0.569057 | − | 0.410959i | ||||
\(733\) | −17.4106 | + | 38.1240i | −0.643076 | + | 1.40814i | 0.254409 | + | 0.967097i | \(0.418119\pi\) |
−0.897485 | + | 0.441044i | \(0.854608\pi\) | |||||||
\(734\) | −2.57694 | − | 17.9230i | −0.0951164 | − | 0.661549i | ||||
\(735\) | −51.5688 | − | 38.0437i | −1.90214 | − | 1.40326i | ||||
\(736\) | 4.50722 | + | 1.63859i | 0.166138 | + | 0.0603994i | ||||
\(737\) | −8.84148 | −0.325680 | ||||||||
\(738\) | −1.90925 | + | 17.5259i | −0.0702803 | + | 0.645135i | ||||
\(739\) | −8.05339 | + | 17.6345i | −0.296249 | + | 0.648694i | −0.997965 | − | 0.0637622i | \(-0.979690\pi\) |
0.701716 | + | 0.712456i | \(0.252417\pi\) | |||||||
\(740\) | −0.997998 | − | 1.58812i | −0.0366871 | − | 0.0583803i | ||||
\(741\) | −0.273121 | + | 5.02904i | −0.0100334 | + | 0.184746i | ||||
\(742\) | 14.7595 | − | 50.2662i | 0.541838 | − | 1.84533i | ||||
\(743\) | 13.6799 | + | 21.2864i | 0.501867 | + | 0.780921i | 0.996083 | − | 0.0884183i | \(-0.0281812\pi\) |
−0.494216 | + | 0.869339i | \(0.664545\pi\) | |||||||
\(744\) | −8.08580 | − | 4.23688i | −0.296440 | − | 0.155331i | ||||
\(745\) | 12.5268 | − | 19.0640i | 0.458948 | − | 0.698453i | ||||
\(746\) | 15.8592 | + | 10.1921i | 0.580647 | + | 0.373159i | ||||
\(747\) | 15.7844 | − | 37.9553i | 0.577521 | − | 1.38871i | ||||
\(748\) | −20.5432 | − | 2.95367i | −0.751134 | − | 0.107997i | ||||
\(749\) | 11.8940 | − | 18.5074i | 0.434597 | − | 0.676246i | ||||
\(750\) | −11.3978 | − | 15.6553i | −0.416190 | − | 0.571652i | ||||
\(751\) | −30.8269 | + | 14.0782i | −1.12489 | + | 0.513720i | −0.888930 | − | 0.458042i | \(-0.848551\pi\) |
−0.235960 | + | 0.971763i | \(0.575824\pi\) | |||||||
\(752\) | 3.75942 | − | 2.41603i | 0.137092 | − | 0.0881037i | ||||
\(753\) | −4.50944 | + | 1.77058i | −0.164333 | + | 0.0645234i | ||||
\(754\) | −5.21988 | + | 6.02407i | −0.190097 | + | 0.219384i | ||||
\(755\) | −11.0890 | − | 17.6459i | −0.403570 | − | 0.642201i | ||||
\(756\) | 25.2090 | + | 0.503411i | 0.916843 | + | 0.0183089i | ||||
\(757\) | −6.15408 | − | 42.8025i | −0.223674 | − | 1.55568i | −0.723971 | − | 0.689831i | \(-0.757685\pi\) |
0.500297 | − | 0.865854i | \(-0.333224\pi\) | |||||||
\(758\) | − | 13.9439i | − | 0.506465i | ||||||
\(759\) | 22.9360 | − | 15.5788i | 0.832524 | − | 0.565474i | ||||
\(760\) | −5.11940 | + | 1.44693i | −0.185700 | + | 0.0524858i | ||||
\(761\) | −4.51009 | + | 0.648452i | −0.163490 | + | 0.0235064i | −0.223574 | − | 0.974687i | \(-0.571772\pi\) |
0.0600834 | + | 0.998193i | \(0.480863\pi\) | |||||||
\(762\) | 29.9718 | − | 7.06020i | 1.08576 | − | 0.255764i | ||||
\(763\) | 20.1349 | + | 68.5731i | 0.728932 | + | 2.48251i | ||||
\(764\) | 15.7676 | − | 18.1968i | 0.570453 | − | 0.658338i | ||||
\(765\) | 10.7817 | − | 40.2931i | 0.389814 | − | 1.45680i | ||||
\(766\) | −12.7217 | − | 19.7954i | −0.459655 | − | 0.715238i | ||||
\(767\) | −2.35961 | − | 5.16683i | −0.0852007 | − | 0.186564i | ||||
\(768\) | −1.69853 | − | 0.339105i | −0.0612905 | − | 0.0122364i | ||||
\(769\) | 21.6637 | − | 33.7093i | 0.781212 | − | 1.21559i | −0.191024 | − | 0.981585i | \(-0.561181\pi\) |
0.972236 | − | 0.234004i | \(-0.0751828\pi\) | |||||||
\(770\) | 35.8991 | − | 4.79026i | 1.29371 | − | 0.172629i | ||||
\(771\) | −19.6627 | − | 34.5864i | −0.708135 | − | 1.24560i | ||||
\(772\) | −12.3596 | + | 19.2320i | −0.444833 | + | 0.692174i | ||||
\(773\) | 3.63972 | − | 3.15384i | 0.130912 | − | 0.113436i | −0.586944 | − | 0.809627i | \(-0.699669\pi\) |
0.717856 | + | 0.696192i | \(0.245124\pi\) | |||||||
\(774\) | 0.238063 | − | 0.0426045i | 0.00855700 | − | 0.00153139i | ||||
\(775\) | 11.4312 | − | 23.7435i | 0.410619 | − | 0.852893i | ||||
\(776\) | −7.18405 | − | 2.10943i | −0.257892 | − | 0.0757241i | ||||
\(777\) | −0.382315 | + | 7.03966i | −0.0137155 | + | 0.252546i | ||||
\(778\) | 20.3514 | − | 5.97572i | 0.729634 | − | 0.214240i | ||||
\(779\) | −5.80797 | + | 12.7177i | −0.208092 | + | 0.455658i | ||||
\(780\) | −4.17032 | − | 2.23942i | −0.149321 | − | 0.0801842i | ||||
\(781\) | − | 28.4030i | − | 1.01634i | ||||||
\(782\) | −27.8521 | + | 10.6526i | −0.995991 | + | 0.380938i | ||||
\(783\) | −31.1010 | + | 13.4595i | −1.11146 | + | 0.481004i | ||||
\(784\) | −2.35477 | − | 16.3778i | −0.0840990 | − | 0.584922i | ||||
\(785\) | −23.6809 | − | 3.65041i | −0.845207 | − | 0.130289i | ||||
\(786\) | −12.5446 | − | 9.05940i | −0.447451 | − | 0.323138i | ||||
\(787\) | 2.55237 | − | 2.94559i | 0.0909820 | − | 0.104999i | −0.708433 | − | 0.705778i | \(-0.750598\pi\) |
0.799415 | + | 0.600779i | \(0.205143\pi\) | |||||||
\(788\) | −2.32301 | − | 0.682098i | −0.0827539 | − | 0.0242987i | ||||
\(789\) | −19.4583 | − | 6.87993i | −0.692733 | − | 0.244932i | ||||
\(790\) | 8.94393 | + | 10.5360i | 0.318211 | + | 0.374853i | ||||
\(791\) | −20.6540 | + | 17.8968i | −0.734371 | + | 0.636336i | ||||
\(792\) | −7.33855 | + | 6.81312i | −0.260764 | + | 0.242094i | ||||
\(793\) | 1.90715 | − | 13.2645i | 0.0677247 | − | 0.471036i | ||||
\(794\) | 0.682355 | + | 0.0981078i | 0.0242159 | + | 0.00348172i | ||||
\(795\) | −39.0742 | + | 14.8862i | −1.38582 | + | 0.527959i | ||||
\(796\) | 7.50806 | − | 6.50577i | 0.266116 | − | 0.230591i | ||||
\(797\) | −35.6636 | + | 16.2870i | −1.26327 | + | 0.576916i | −0.930569 | − | 0.366116i | \(-0.880687\pi\) |
−0.332701 | + | 0.943032i | \(0.607960\pi\) | |||||||
\(798\) | 18.8523 | + | 6.66568i | 0.667364 | + | 0.235962i | ||||
\(799\) | −7.82839 | + | 26.6610i | −0.276948 | + | 0.943200i | ||||
\(800\) | 0.811853 | − | 4.93365i | 0.0287033 | − | 0.174431i | ||||
\(801\) | 0.536601 | + | 15.6434i | 0.0189599 | + | 0.552731i | ||||
\(802\) | 5.35607 | − | 11.7282i | 0.189129 | − | 0.414135i | ||||
\(803\) | 11.0112 | − | 1.58317i | 0.388577 | − | 0.0558689i | ||||
\(804\) | 3.62514 | − | 2.81199i | 0.127849 | − | 0.0991714i | ||||
\(805\) | 41.7148 | − | 31.1077i | 1.47026 | − | 1.09640i | ||||
\(806\) | − | 6.44148i | − | 0.226891i | ||||||
\(807\) | 7.15696 | − | 7.40667i | 0.251937 | − | 0.260727i | ||||
\(808\) | −15.3567 | − | 7.01318i | −0.540248 | − | 0.246723i | ||||
\(809\) | 2.94322 | + | 10.0237i | 0.103478 | + | 0.352414i | 0.994913 | − | 0.100734i | \(-0.0321190\pi\) |
−0.891435 | + | 0.453148i | \(0.850301\pi\) | |||||||
\(810\) | −11.8503 | − | 16.2656i | −0.416377 | − | 0.571516i | ||||
\(811\) | −2.41772 | − | 0.709907i | −0.0848977 | − | 0.0249282i | 0.239008 | − | 0.971018i | \(-0.423178\pi\) |
−0.323906 | + | 0.946089i | \(0.604996\pi\) | |||||||
\(812\) | 17.1096 | + | 26.6230i | 0.600429 | + | 0.934285i | ||||
\(813\) | −4.85155 | − | 2.54216i | −0.170151 | − | 0.0891575i | ||||
\(814\) | −1.83353 | − | 2.11601i | −0.0642653 | − | 0.0741662i | ||||
\(815\) | 32.2966 | + | 9.84016i | 1.13130 | + | 0.344686i | ||||
\(816\) | 9.36242 | − | 5.32263i | 0.327750 | − | 0.186329i | ||||
\(817\) | 0.189844 | + | 0.0272954i | 0.00664178 | + | 0.000954944i | ||||
\(818\) | −25.5936 | − | 16.4480i | −0.894858 | − | 0.575090i | ||||
\(819\) | 7.94153 | + | 15.9212i | 0.277499 | + | 0.556333i | ||||
\(820\) | −8.50385 | − | 10.0176i | −0.296967 | − | 0.349828i | ||||
\(821\) | −4.25616 | − | 6.62271i | −0.148541 | − | 0.231134i | 0.759007 | − | 0.651082i | \(-0.225685\pi\) |
−0.907548 | + | 0.419948i | \(0.862048\pi\) | |||||||
\(822\) | −6.99564 | − | 17.8170i | −0.244001 | − | 0.621440i | ||||
\(823\) | 0.779323 | + | 0.675287i | 0.0271655 | + | 0.0235390i | 0.668338 | − | 0.743858i | \(-0.267006\pi\) |
−0.641172 | + | 0.767397i | \(0.721552\pi\) | |||||||
\(824\) | 16.9127 | − | 4.96602i | 0.589182 | − | 0.172999i | ||||
\(825\) | −20.3758 | − | 20.5045i | −0.709394 | − | 0.713875i | ||||
\(826\) | −22.3221 | + | 3.20943i | −0.776684 | + | 0.111670i | ||||
\(827\) | − | 15.4463i | − | 0.537121i | −0.963263 | − | 0.268560i | \(-0.913452\pi\) | ||
0.963263 | − | 0.268560i | \(-0.0865479\pi\) | |||||||
\(828\) | −4.44934 | + | 13.6822i | −0.154625 | + | 0.475490i | ||||
\(829\) | 21.4942 | 0.746524 | 0.373262 | − | 0.927726i | \(-0.378239\pi\) | ||||
0.373262 | + | 0.927726i | \(0.378239\pi\) | |||||||
\(830\) | 12.4445 | + | 27.9980i | 0.431955 | + | 0.971825i | ||||
\(831\) | −54.5641 | + | 12.8532i | −1.89281 | + | 0.445873i | ||||
\(832\) | −0.344333 | − | 1.17269i | −0.0119376 | − | 0.0406558i | ||||
\(833\) | 77.7531 | + | 67.3734i | 2.69398 | + | 2.33435i | ||||
\(834\) | −5.20475 | + | 2.04358i | −0.180226 | + | 0.0707634i | ||||
\(835\) | 15.0778 | + | 13.3352i | 0.521787 | + | 0.461483i | ||||
\(836\) | −7.22368 | + | 3.29894i | −0.249836 | + | 0.114096i | ||||
\(837\) | 11.8716 | − | 24.6789i | 0.410341 | − | 0.853027i | ||||
\(838\) | 15.3433 | + | 9.86055i | 0.530026 | + | 0.340627i | ||||
\(839\) | −0.0621969 | + | 0.432589i | −0.00214728 | + | 0.0149346i | −0.990867 | − | 0.134843i | \(-0.956947\pi\) |
0.988720 | + | 0.149778i | \(0.0478559\pi\) | |||||||
\(840\) | −13.1956 | + | 13.3816i | −0.455293 | + | 0.461710i | ||||
\(841\) | −11.3858 | − | 7.31723i | −0.392615 | − | 0.252318i | ||||
\(842\) | −10.4077 | + | 9.01831i | −0.358672 | + | 0.310791i | ||||
\(843\) | 7.24116 | + | 3.79429i | 0.249399 | + | 0.130682i | ||||
\(844\) | 9.73783 | − | 6.25812i | 0.335190 | − | 0.215413i | ||||
\(845\) | −0.261051 | + | 25.7274i | −0.00898042 | + | 0.885049i | ||||
\(846\) | 7.63049 | + | 11.0232i | 0.262341 | + | 0.378984i | ||||
\(847\) | 0.658469 | − | 0.193344i | 0.0226252 | − | 0.00664337i | ||||
\(848\) | −9.82063 | − | 4.48493i | −0.337242 | − | 0.154013i | ||||
\(849\) | −14.6050 | − | 14.1126i | −0.501243 | − | 0.484344i | ||||
\(850\) | 16.2740 | + | 26.4897i | 0.558193 | + | 0.908588i | ||||
\(851\) | −3.78075 | − | 1.37449i | −0.129603 | − | 0.0471169i | ||||
\(852\) | 9.03345 | + | 11.6456i | 0.309481 | + | 0.398973i | ||||
\(853\) | 32.4840 | − | 4.67050i | 1.11223 | − | 0.159915i | 0.438386 | − | 0.898787i | \(-0.355550\pi\) |
0.673846 | + | 0.738872i | \(0.264641\pi\) | |||||||
\(854\) | −48.3970 | − | 22.1022i | −1.65611 | − | 0.756320i | ||||
\(855\) | −4.86476 | − | 15.2003i | −0.166371 | − | 0.519841i | ||||
\(856\) | −3.42638 | − | 2.96898i | −0.117111 | − | 0.101478i | ||||
\(857\) | −29.9628 | − | 8.79789i | −1.02351 | − | 0.300530i | −0.273441 | − | 0.961889i | \(-0.588162\pi\) |
−0.750070 | + | 0.661359i | \(0.769980\pi\) | |||||||
\(858\) | −6.66184 | − | 2.35545i | −0.227431 | − | 0.0804137i | ||||
\(859\) | −1.02094 | − | 2.23555i | −0.0348340 | − | 0.0762759i | 0.891415 | − | 0.453188i | \(-0.149713\pi\) |
−0.926249 | + | 0.376912i | \(0.876986\pi\) | |||||||
\(860\) | −0.0989900 | + | 0.150649i | −0.00337553 | + | 0.00513707i | ||||
\(861\) | 4.36750 | + | 49.1967i | 0.148844 | + | 1.67662i | ||||
\(862\) | 2.24863 | − | 15.6396i | 0.0765887 | − | 0.532686i | ||||
\(863\) | −2.99165 | + | 20.8074i | −0.101837 | + | 0.708292i | 0.873380 | + | 0.487040i | \(0.161923\pi\) |
−0.975217 | + | 0.221252i | \(0.928986\pi\) | |||||||
\(864\) | 0.842030 | − | 5.12747i | 0.0286464 | − | 0.174440i | ||||
\(865\) | −14.7282 | + | 22.4141i | −0.500772 | + | 0.762103i | ||||
\(866\) | −3.14322 | − | 6.88269i | −0.106811 | − | 0.233883i | ||||
\(867\) | −12.5071 | + | 35.3733i | −0.424762 | + | 1.20134i | ||||
\(868\) | −24.5384 | − | 7.20512i | −0.832887 | − | 0.244558i | ||||
\(869\) | 15.5912 | + | 13.5099i | 0.528896 | + | 0.458291i | ||||
\(870\) | 8.66128 | − | 23.7276i | 0.293645 | − | 0.804440i | ||||
\(871\) | 2.94484 | + | 1.34486i | 0.0997822 | + | 0.0455690i | ||||
\(872\) | 14.5784 | − | 2.09605i | 0.493685 | − | 0.0709812i | ||||
\(873\) | 5.58571 | − | 21.7564i | 0.189048 | − | 0.736344i | ||||
\(874\) | −6.76167 | + | 9.19066i | −0.228717 | + | 0.310879i | ||||
\(875\) | −39.9007 | − | 36.7589i | −1.34889 | − | 1.24268i | ||||
\(876\) | −4.01124 | + | 4.15119i | −0.135527 | + | 0.140256i | ||||
\(877\) | −28.0338 | − | 12.8026i | −0.946635 | − | 0.432314i | −0.118570 | − | 0.992946i | \(-0.537831\pi\) |
−0.828065 | + | 0.560632i | \(0.810558\pi\) | |||||||
\(878\) | −5.52441 | + | 1.62211i | −0.186440 | + | 0.0547437i | ||||
\(879\) | 2.76070 | + | 0.149930i | 0.0931160 | + | 0.00505702i | ||||
\(880\) | 0.0757290 | − | 7.46334i | 0.00255283 | − | 0.251589i | ||||
\(881\) | 40.1117 | − | 25.7782i | 1.35140 | − | 0.868491i | 0.353638 | − | 0.935382i | \(-0.384944\pi\) |
0.997760 | + | 0.0668911i | \(0.0213080\pi\) | |||||||
\(882\) | 48.8624 | − | 8.74456i | 1.64528 | − | 0.294445i | ||||
\(883\) | −5.31685 | + | 4.60707i | −0.178926 | + | 0.155040i | −0.739719 | − | 0.672916i | \(-0.765042\pi\) |
0.560793 | + | 0.827956i | \(0.310496\pi\) | |||||||
\(884\) | 6.39307 | + | 4.10858i | 0.215022 | + | 0.138186i | ||||
\(885\) | 12.8164 | + | 12.6382i | 0.430818 | + | 0.424830i | ||||
\(886\) | 0.769502 | − | 5.35200i | 0.0258519 | − | 0.179804i | ||||
\(887\) | 40.2287 | + | 25.8534i | 1.35075 | + | 0.868073i | 0.997717 | − | 0.0675383i | \(-0.0215145\pi\) |
0.353031 | + | 0.935611i | \(0.385151\pi\) | |||||||
\(888\) | 1.42476 | + | 0.284449i | 0.0478120 | + | 0.00954547i | ||||
\(889\) | 78.4703 | − | 35.8362i | 2.63181 | − | 1.20191i | ||||
\(890\) | −8.73916 | − | 7.72916i | −0.292937 | − | 0.259082i | ||||
\(891\) | −21.1821 | − | 21.3020i | −0.709626 | − | 0.713644i | ||||
\(892\) | 1.25062 | + | 1.08367i | 0.0418740 | + | 0.0362840i | ||||
\(893\) | 2.99539 | + | 10.2014i | 0.100237 | + | 0.341376i | ||||
\(894\) | 4.05139 | + | 17.1989i | 0.135499 | + | 0.575217i | ||||
\(895\) | 12.9731 | + | 29.1874i | 0.433644 | + | 0.975626i | ||||
\(896\) | −4.85245 | −0.162109 | ||||||||
\(897\) | −10.0090 | + | 1.70008i | −0.334190 | + | 0.0567640i | ||||
\(898\) | − | 17.8359i | − | 0.595192i | ||||||
\(899\) | 34.0228 | − | 4.89174i | 1.13472 | − | 0.163149i | ||||
\(900\) | 14.8757 | + | 1.92672i | 0.495858 | + | 0.0642240i | ||||
\(901\) | 64.4104 | − | 18.9126i | 2.14582 | − | 0.630070i | ||||
\(902\) | −14.8241 | − | 12.8451i | −0.493588 | − | 0.427697i | ||||
\(903\) | 0.630673 | − | 0.247626i | 0.0209875 | − | 0.00824047i | ||||
\(904\) | 3.04491 | + | 4.73797i | 0.101272 | + | 0.157583i | ||||
\(905\) | −3.87844 | − | 4.56881i | −0.128924 | − | 0.151873i | ||||
\(906\) | 15.8309 | + | 3.16058i | 0.525947 | + | 0.105003i | ||||
\(907\) | −3.61375 | − | 2.32241i | −0.119992 | − | 0.0771145i | 0.479268 | − | 0.877669i | \(-0.340902\pi\) |
−0.599260 | + | 0.800554i | \(0.704539\pi\) | |||||||
\(908\) | 12.5461 | + | 1.80385i | 0.416355 | + | 0.0598629i | ||||
\(909\) | 19.4478 | − | 46.7644i | 0.645043 | − | 1.55108i | ||||
\(910\) | −12.6856 | − | 3.86506i | −0.420524 | − | 0.128126i | ||||
\(911\) | −10.4131 | − | 12.0174i | −0.345001 | − | 0.398153i | 0.556558 | − | 0.830809i | \(-0.312122\pi\) |
−0.901559 | + | 0.432656i | \(0.857576\pi\) | |||||||
\(912\) | 1.91260 | − | 3.65008i | 0.0633326 | − | 0.120866i | ||||
\(913\) | 24.7269 | + | 38.4758i | 0.818342 | + | 1.27336i | ||||
\(914\) | 22.5690 | + | 6.62687i | 0.746517 | + | 0.219197i | ||||
\(915\) | 9.31687 | + | 41.4310i | 0.308006 | + | 1.36967i | ||||
\(916\) | −4.53824 | − | 15.4558i | −0.149948 | − | 0.510675i | ||||
\(917\) | −39.4334 | − | 18.0086i | −1.30220 | − | 0.594697i | ||||
\(918\) | 16.9214 | + | 27.5233i | 0.558489 | + | 0.908406i | ||||
\(919\) | 40.9080i | 1.34943i | 0.738079 | + | 0.674715i | \(0.235733\pi\) | ||||
−0.738079 | + | 0.674715i | \(0.764267\pi\) | |||||||
\(920\) | −5.12204 | − | 9.42150i | −0.168869 | − | 0.310618i | ||||
\(921\) | 0.901836 | + | 1.16262i | 0.0297165 | + | 0.0383096i | ||||
\(922\) | −1.48406 | + | 0.213376i | −0.0488749 | + | 0.00702715i | ||||
\(923\) | −4.32034 | + | 9.46022i | −0.142206 | + | 0.311387i | ||||
\(924\) | −16.4245 | + | 22.7431i | −0.540327 | + | 0.748194i | ||||
\(925\) | −0.681000 | + | 4.13845i | −0.0223911 | + | 0.136071i | ||||
\(926\) | −0.406136 | + | 1.38317i | −0.0133465 | + | 0.0454539i | ||||
\(927\) | 16.6287 | + | 50.1976i | 0.546158 | + | 1.64870i | ||||
\(928\) | 5.93247 | − | 2.70927i | 0.194743 | − | 0.0889361i | ||||
\(929\) | −11.4904 | + | 9.95647i | −0.376987 | + | 0.326661i | −0.822659 | − | 0.568535i | \(-0.807510\pi\) |
0.445672 | + | 0.895196i | \(0.352965\pi\) | |||||||
\(930\) | 7.26698 | + | 19.0748i | 0.238294 | + | 0.625487i | ||||
\(931\) | 38.9653 | + | 5.60236i | 1.27704 | + | 0.183610i | ||||
\(932\) | 0.807152 | − | 5.61387i | 0.0264392 | − | 0.183888i | ||||
\(933\) | −2.26560 | − | 25.5204i | −0.0741725 | − | 0.835499i | ||||
\(934\) | 21.2532 | − | 18.4160i | 0.695428 | − | 0.602591i | ||||
\(935\) | 30.0336 | + | 35.3797i | 0.982203 | + | 1.15704i | ||||
\(936\) | 3.48059 | − | 1.15300i | 0.113767 | − | 0.0376870i | ||||
\(937\) | 33.0757 | + | 9.71190i | 1.08054 | + | 0.317274i | 0.773093 | − | 0.634292i | \(-0.218708\pi\) |
0.307443 | + | 0.951566i | \(0.400527\pi\) | |||||||
\(938\) | 8.41713 | − | 9.71388i | 0.274829 | − | 0.317170i | ||||
\(939\) | −33.5814 | + | 46.5003i | −1.09589 | + | 1.51748i | ||||
\(940\) | −9.87597 | − | 1.52238i | −0.322119 | − | 0.0496546i | ||||
\(941\) | 5.15384 | + | 35.8458i | 0.168011 | + | 1.16854i | 0.882989 | + | 0.469393i | \(0.155527\pi\) |
−0.714979 | + | 0.699146i | \(0.753564\pi\) | |||||||
\(942\) | 14.6650 | − | 11.3756i | 0.477812 | − | 0.370636i | ||||
\(943\) | −27.5875 | − | 5.76176i | −0.898373 | − | 0.187629i | ||||
\(944\) | 4.64747i | 0.151262i | ||||||||
\(945\) | −41.4784 | − | 38.1874i | −1.34929 | − | 1.24224i | ||||
\(946\) | −0.111781 | + | 0.244767i | −0.00363432 | + | 0.00795806i | ||||
\(947\) | −47.2606 | + | 13.8770i | −1.53576 | + | 0.450941i | −0.936808 | − | 0.349843i | \(-0.886235\pi\) |
−0.598954 | + | 0.800783i | \(0.704417\pi\) | |||||||
\(948\) | −10.6894 | − | 0.580528i | −0.347176 | − | 0.0188547i | ||||
\(949\) | −3.90833 | − | 1.14759i | −0.126870 | − | 0.0372523i | ||||
\(950\) | 10.7183 | + | 5.16023i | 0.347746 | + | 0.167420i | ||||
\(951\) | −32.0140 | − | 16.7750i | −1.03812 | − | 0.543966i | ||||
\(952\) | 22.8023 | − | 19.7583i | 0.739028 | − | 0.640371i | ||||
\(953\) | −21.7497 | + | 33.8431i | −0.704541 | + | 1.09629i | 0.285888 | + | 0.958263i | \(0.407711\pi\) |
−0.990429 | + | 0.138024i | \(0.955925\pi\) | |||||||
\(954\) | 12.4369 | − | 29.9058i | 0.402659 | − | 0.968237i | ||||
\(955\) | −53.3667 | + | 7.12108i | −1.72691 | + | 0.230433i | ||||
\(956\) | 3.99659 | − | 6.21881i | 0.129259 | − | 0.201131i | ||||
\(957\) | 7.38201 | − | 36.9755i | 0.238626 | − | 1.19525i | ||||
\(958\) | −12.1881 | − | 26.6883i | −0.393781 | − | 0.862260i | ||||
\(959\) | −28.9920 | − | 45.1124i | −0.936200 | − | 1.45676i | ||||
\(960\) | 2.34263 | + | 3.08417i | 0.0756081 | + | 0.0995410i | ||||
\(961\) | 2.11055 | − | 2.43570i | 0.0680822 | − | 0.0785711i | ||||
\(962\) | 0.288834 | + | 0.983679i | 0.00931239 | + | 0.0317151i | ||||
\(963\) | 8.54931 | − | 10.5785i | 0.275498 | − | 0.340886i | ||||
\(964\) | −10.2681 | + | 1.47633i | −0.330713 | + | 0.0475493i | ||||
\(965\) | 49.1919 | − | 13.9035i | 1.58354 | − | 0.447569i | ||||
\(966\) | −4.71923 | + | 40.0302i | −0.151839 | + | 1.28795i | ||||
\(967\) | 43.4317i | 1.39667i | 0.715772 | + | 0.698335i | \(0.246075\pi\) | ||||
−0.715772 | + | 0.698335i | \(0.753925\pi\) | |||||||
\(968\) | −0.0201272 | − | 0.139988i | −0.000646912 | − | 0.00449937i | ||||
\(969\) | 5.87490 | + | 24.9400i | 0.188729 | + | 0.801189i | ||||
\(970\) | 8.90815 | + | 14.1756i | 0.286023 | + | 0.455150i | ||||
\(971\) | 13.1848 | − | 15.2160i | 0.423119 | − | 0.488305i | −0.503666 | − | 0.863899i | \(-0.668016\pi\) |
0.926785 | + | 0.375593i | \(0.122561\pi\) | |||||||
\(972\) | 15.4600 | + | 1.99727i | 0.495879 | + | 0.0640623i | ||||
\(973\) | −13.1783 | + | 8.46920i | −0.422478 | + | 0.271510i | ||||
\(974\) | −33.9872 | + | 15.5215i | −1.08902 | + | 0.497339i | ||||
\(975\) | 3.66768 | + | 9.92879i | 0.117460 | + | 0.317976i | ||||
\(976\) | −5.92790 | + | 9.22399i | −0.189747 | + | 0.295253i | ||||
\(977\) | −30.8721 | − | 4.43874i | −0.987687 | − | 0.142008i | −0.370507 | − | 0.928830i | \(-0.620816\pi\) |
−0.617180 | + | 0.786822i | \(0.711725\pi\) | |||||||
\(978\) | −22.7350 | + | 12.9251i | −0.726986 | + | 0.413299i | ||||
\(979\) | −14.6508 | − | 9.41551i | −0.468242 | − | 0.300921i | ||||
\(980\) | −20.3177 | + | 30.9205i | −0.649024 | + | 0.987721i | ||||
\(981\) | 7.78378 | + | 43.4938i | 0.248517 | + | 1.38865i | ||||
\(982\) | −1.85968 | − | 2.89371i | −0.0593447 | − | 0.0923421i | ||||
\(983\) | −4.67730 | + | 15.9294i | −0.149183 | + | 0.508070i | −0.999844 | − | 0.0176438i | \(-0.994384\pi\) |
0.850662 | + | 0.525714i | \(0.176202\pi\) | |||||||
\(984\) | 10.1634 | + | 0.551964i | 0.323999 | + | 0.0175960i | ||||
\(985\) | 2.88051 | + | 4.58376i | 0.0917808 | + | 0.146051i | ||||
\(986\) | −16.8459 | + | 36.8873i | −0.536481 | + | 1.17473i | ||||
\(987\) | 27.0097 | + | 26.0991i | 0.859729 | + | 0.830744i | ||||
\(988\) | 2.90780 | 0.0925094 | ||||||||
\(989\) | 0.0307827 | + | 0.385389i | 0.000978834 | + | 0.0122547i | ||||
\(990\) | 22.3846 | − | 0.540520i | 0.711431 | − | 0.0171788i | ||||
\(991\) | 0.894086 | + | 6.21851i | 0.0284016 | + | 0.197537i | 0.999082 | − | 0.0428359i | \(-0.0136393\pi\) |
−0.970681 | + | 0.240373i | \(0.922730\pi\) | |||||||
\(992\) | −2.18940 | + | 4.79412i | −0.0695136 | + | 0.152214i | ||||
\(993\) | 29.5460 | − | 40.9126i | 0.937616 | − | 1.29832i | ||||
\(994\) | 31.2056 | + | 27.0398i | 0.989781 | + | 0.857650i | ||||
\(995\) | −22.2133 | − | 0.225394i | −0.704208 | − | 0.00714546i | ||||
\(996\) | −22.3755 | − | 7.91138i | −0.708994 | − | 0.250682i | ||||
\(997\) | 15.6127 | − | 7.13008i | 0.494459 | − | 0.225812i | −0.152548 | − | 0.988296i | \(-0.548748\pi\) |
0.647007 | + | 0.762484i | \(0.276021\pi\) | |||||||
\(998\) | 27.0139 | + | 31.1757i | 0.855109 | + | 0.986849i | ||||
\(999\) | −0.706313 | + | 4.30104i | −0.0223468 | + | 0.136079i |
(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 | 690.2.n.a.89.11 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.5 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.14 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.20 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.20 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.14 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.5 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.11 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.11 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.20 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.11 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.20 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.5 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.14 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.5 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.14 | yes | 240 | 69.38 | even | 22 |