Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,2,Mod(127,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.bj (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.18653618192\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 300) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 127.19 | ||
Character | \(\chi\) | \(=\) | 900.127 |
Dual form | 900.2.bj.f.163.19 |
$q$-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 \(\left(\mathbb{Z}/900\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(451\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.510574 | + | 1.31883i | 0.361030 | + | 0.932554i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.47863 | + | 1.34672i | −0.739315 | + | 0.673360i | ||||
\(5\) | −0.968294 | − | 2.01554i | −0.433034 | − | 0.901377i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.67499 | + | 2.67499i | −1.01105 | + | 1.01105i | −0.0111136 | + | 0.999938i | \(0.503538\pi\) |
−0.999938 | + | 0.0111136i | \(0.996462\pi\) | |||||||
\(8\) | −2.53105 | − | 1.26246i | −0.894860 | − | 0.446348i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.16377 | − | 2.30610i | 0.684245 | − | 0.729252i | ||||
\(11\) | −1.87313 | − | 2.57815i | −0.564771 | − | 0.777341i | 0.427152 | − | 0.904180i | \(-0.359517\pi\) |
−0.991923 | + | 0.126839i | \(0.959517\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.65630 | − | 0.895870i | 1.56878 | − | 0.248470i | 0.689323 | − | 0.724455i | \(-0.257908\pi\) |
0.879453 | + | 0.475985i | \(0.157908\pi\) | |||||||
\(14\) | −4.89364 | − | 2.16208i | −1.30788 | − | 0.577841i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.372689 | − | 3.98260i | 0.0931723 | − | 0.995650i | ||||
\(17\) | 2.03694 | − | 3.99773i | 0.494031 | − | 0.969591i | −0.500558 | − | 0.865703i | \(-0.666872\pi\) |
0.994589 | − | 0.103888i | \(-0.0331283\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.869130 | − | 2.67491i | −0.199392 | − | 0.613665i | −0.999897 | − | 0.0143397i | \(-0.995435\pi\) |
0.800505 | − | 0.599326i | \(-0.204565\pi\) | |||||||
\(20\) | 4.14612 | + | 1.67622i | 0.927100 | + | 0.374814i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.44377 | − | 3.78668i | 0.521013 | − | 0.807323i | ||||
\(23\) | 5.81945 | + | 0.921710i | 1.21344 | + | 0.192190i | 0.730160 | − | 0.683276i | \(-0.239446\pi\) |
0.483279 | + | 0.875466i | \(0.339446\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.12481 | + | 3.90327i | −0.624963 | + | 0.780655i | ||||
\(26\) | 4.06946 | + | 7.00230i | 0.798087 | + | 1.37326i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.352856 | − | 7.55779i | 0.0666835 | − | 1.42829i | ||||
\(29\) | −8.67000 | − | 2.81705i | −1.60998 | − | 0.523114i | −0.640431 | − | 0.768016i | \(-0.721244\pi\) |
−0.969548 | + | 0.244902i | \(0.921244\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.80347 | − | 2.21058i | 1.22194 | − | 0.397032i | 0.374151 | − | 0.927368i | \(-0.377934\pi\) |
0.847788 | + | 0.530336i | \(0.177934\pi\) | |||||||
\(32\) | 5.44266 | − | 1.54190i | 0.962136 | − | 0.272571i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.31233 | + | 0.645250i | 1.08256 | + | 0.110659i | ||||
\(35\) | 7.98173 | + | 2.80138i | 1.34916 | + | 0.473519i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.906743 | − | 5.72495i | −0.149068 | − | 0.941176i | −0.942909 | − | 0.333051i | \(-0.891922\pi\) |
0.793841 | − | 0.608125i | \(-0.208078\pi\) | |||||||
\(38\) | 3.08399 | − | 2.51197i | 0.500290 | − | 0.407496i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0937491 | + | 6.32386i | −0.0148230 | + | 0.999890i | ||||
\(41\) | 6.17980 | + | 4.48988i | 0.965122 | + | 0.701202i | 0.954335 | − | 0.298740i | \(-0.0965662\pi\) |
0.0107873 | + | 0.999942i | \(0.496566\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.72744 | − | 4.72744i | −0.720928 | − | 0.720928i | 0.247866 | − | 0.968794i | \(-0.420271\pi\) |
−0.968794 | + | 0.247866i | \(0.920271\pi\) | |||||||
\(44\) | 6.24171 | + | 1.28954i | 0.940974 | + | 0.194405i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.75568 | + | 8.14547i | 0.258861 | + | 1.20098i | ||||
\(47\) | −2.06198 | − | 4.04686i | −0.300771 | − | 0.590296i | 0.690317 | − | 0.723507i | \(-0.257471\pi\) |
−0.991088 | + | 0.133211i | \(0.957471\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 7.31116i | − | 1.04445i | ||||||
\(50\) | −6.74320 | − | 2.12819i | −0.953633 | − | 0.300972i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.15709 | + | 8.94212i | −0.992509 | + | 1.24005i | ||||
\(53\) | −1.95228 | − | 3.83156i | −0.268166 | − | 0.526305i | 0.717177 | − | 0.696891i | \(-0.245434\pi\) |
−0.985343 | + | 0.170586i | \(0.945434\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.38262 | + | 6.27178i | −0.456112 | + | 0.845687i | ||||
\(56\) | 10.1476 | − | 3.39345i | 1.35603 | − | 0.453469i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.711456 | − | 12.8726i | −0.0934187 | − | 1.69025i | ||||
\(59\) | −5.25683 | − | 3.81931i | −0.684381 | − | 0.497232i | 0.190427 | − | 0.981701i | \(-0.439013\pi\) |
−0.874808 | + | 0.484469i | \(0.839013\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.90898 | − | 2.84004i | 0.500493 | − | 0.363630i | −0.308712 | − | 0.951156i | \(-0.599898\pi\) |
0.809205 | + | 0.587526i | \(0.199898\pi\) | |||||||
\(62\) | 6.38905 | + | 7.84396i | 0.811411 | + | 0.996184i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.81238 | + | 6.39070i | 0.601547 | + | 0.798837i | ||||
\(65\) | −7.28263 | − | 10.5330i | −0.903299 | − | 1.30646i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.86745 | − | 4.51819i | −1.08333 | − | 0.551985i | −0.181200 | − | 0.983446i | \(-0.557998\pi\) |
−0.902132 | + | 0.431461i | \(0.857998\pi\) | |||||||
\(68\) | 2.37193 | + | 8.65435i | 0.287639 | + | 1.04949i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.380718 | + | 11.9569i | 0.0455046 | + | 1.42912i | ||||
\(71\) | −2.55860 | − | 0.831340i | −0.303650 | − | 0.0986619i | 0.153229 | − | 0.988191i | \(-0.451033\pi\) |
−0.456879 | + | 0.889529i | \(0.651033\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.818638 | − | 5.16868i | 0.0958143 | − | 0.604948i | −0.892326 | − | 0.451392i | \(-0.850928\pi\) |
0.988140 | − | 0.153556i | \(-0.0490724\pi\) | |||||||
\(74\) | 7.08728 | − | 4.11885i | 0.823880 | − | 0.478806i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.88747 | + | 2.78472i | 0.560631 | + | 0.319429i | ||||
\(77\) | 11.9071 | + | 1.88591i | 1.35694 | + | 0.214919i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.62208 | + | 4.99225i | −0.182498 | + | 0.561672i | −0.999896 | − | 0.0144014i | \(-0.995416\pi\) |
0.817398 | + | 0.576073i | \(0.195416\pi\) | |||||||
\(80\) | −8.38797 | + | 3.10516i | −0.937803 | + | 0.347167i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.76616 | + | 10.4425i | −0.305471 | + | 1.15318i | ||||
\(83\) | 0.853734 | − | 1.67555i | 0.0937094 | − | 0.183915i | −0.839394 | − | 0.543524i | \(-0.817090\pi\) |
0.933103 | + | 0.359609i | \(0.117090\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0299 | − | 0.234570i | −1.08790 | − | 0.0254426i | ||||
\(86\) | 3.82099 | − | 8.64841i | 0.412028 | − | 0.932582i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.48617 | + | 8.89017i | 0.158427 | + | 0.947695i | ||||
\(89\) | 6.51253 | + | 8.96373i | 0.690327 | + | 0.950153i | 1.00000 | 0.000689768i | \(-0.000219560\pi\) | |
−0.309673 | + | 0.950843i | \(0.600220\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.7341 | + | 17.5270i | −1.33490 | + | 1.83733i | ||||
\(92\) | −9.84610 | + | 6.47430i | −1.02653 | + | 0.674993i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.28434 | − | 4.78562i | 0.441895 | − | 0.493599i | ||||
\(95\) | −4.54981 | + | 4.34186i | −0.466801 | + | 0.445466i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.14245 | + | 2.11068i | −0.420602 | + | 0.214307i | −0.651465 | − | 0.758679i | \(-0.725845\pi\) |
0.230863 | + | 0.972986i | \(0.425845\pi\) | |||||||
\(98\) | 9.64219 | − | 3.73289i | 0.974008 | − | 0.377078i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.636175 | − | 9.97974i | −0.0636175 | − | 0.997974i | ||||
\(101\) | −5.39783 | −0.537104 | −0.268552 | − | 0.963265i | \(-0.586545\pi\) | ||||
−0.268552 | + | 0.963265i | \(0.586545\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.7306 | − | 5.46751i | 1.05732 | − | 0.538730i | 0.163213 | − | 0.986591i | \(-0.447814\pi\) |
0.894103 | + | 0.447861i | \(0.147814\pi\) | |||||||
\(104\) | −15.4474 | − | 4.87338i | −1.51474 | − | 0.477874i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.05640 | − | 4.53101i | 0.393992 | − | 0.440091i | ||||
\(107\) | −6.85755 | + | 6.85755i | −0.662945 | + | 0.662945i | −0.956073 | − | 0.293128i | \(-0.905304\pi\) |
0.293128 | + | 0.956073i | \(0.405304\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.08613 | + | 4.24770i | −0.295598 | + | 0.406856i | −0.930822 | − | 0.365472i | \(-0.880908\pi\) |
0.635224 | + | 0.772328i | \(0.280908\pi\) | |||||||
\(110\) | −9.99849 | − | 1.25890i | −0.953319 | − | 0.120031i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.65648 | + | 11.6504i | 0.912452 | + | 1.10086i | ||||
\(113\) | 4.10283 | − | 0.649824i | 0.385962 | − | 0.0611303i | 0.0395615 | − | 0.999217i | \(-0.487404\pi\) |
0.346400 | + | 0.938087i | \(0.387404\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.77719 | − | 12.6218i | −0.352225 | − | 1.17699i | ||||
\(116\) | 16.6135 | − | 7.51069i | 1.54253 | − | 0.697350i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.35303 | − | 8.88291i | 0.216614 | − | 0.817739i | ||||
\(119\) | 5.24508 | + | 16.1427i | 0.480815 | + | 1.47980i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.260974 | − | 0.803195i | 0.0237249 | − | 0.0730177i | ||||
\(122\) | 5.74135 | + | 3.70523i | 0.519798 | + | 0.335456i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.08278 | + | 12.4310i | −0.636052 | + | 1.11634i | ||||
\(125\) | 10.8929 | + | 2.51868i | 0.974295 | + | 0.225277i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.81207 | − | 11.4410i | 0.160795 | − | 1.01522i | −0.766869 | − | 0.641804i | \(-0.778186\pi\) |
0.927664 | − | 0.373417i | \(-0.121814\pi\) | |||||||
\(128\) | −5.97117 | + | 9.60963i | −0.527782 | + | 0.849380i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.1730 | − | 14.9824i | 0.892230 | − | 1.31405i | ||||
\(131\) | −10.4381 | + | 3.39154i | −0.911981 | + | 0.296321i | −0.727173 | − | 0.686454i | \(-0.759166\pi\) |
−0.184808 | + | 0.982775i | \(0.559166\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.48027 | + | 4.83044i | 0.822043 | + | 0.418852i | ||||
\(134\) | 1.43124 | − | 14.0015i | 0.123641 | − | 1.20955i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −10.2026 | + | 7.54686i | −0.874863 | + | 0.647138i | ||||
\(137\) | 1.12464 | + | 7.10069i | 0.0960844 | + | 0.606653i | 0.988000 | + | 0.154452i | \(0.0493612\pi\) |
−0.891916 | + | 0.452201i | \(0.850639\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.371124 | + | 0.269638i | −0.0314784 | + | 0.0228704i | −0.603413 | − | 0.797429i | \(-0.706193\pi\) |
0.571935 | + | 0.820299i | \(0.306193\pi\) | |||||||
\(140\) | −15.5747 | + | 6.60696i | −1.31630 | + | 0.558390i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.209957 | − | 3.79882i | −0.0176192 | − | 0.318790i | ||||
\(143\) | −12.9047 | − | 12.9047i | −1.07914 | − | 1.07914i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.71722 | + | 20.2025i | 0.225653 | + | 1.67773i | ||||
\(146\) | 7.23458 | − | 1.55934i | 0.598738 | − | 0.129052i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.05064 | + | 7.24395i | 0.743958 | + | 0.595449i | ||||
\(149\) | 7.21619i | 0.591173i | 0.955316 | + | 0.295587i | \(0.0955151\pi\) | ||||
−0.955316 | + | 0.295587i | \(0.904485\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 6.00455i | − | 0.488643i | −0.969694 | − | 0.244322i | \(-0.921435\pi\) | ||
0.969694 | − | 0.244322i | \(-0.0785653\pi\) | |||||||
\(152\) | −1.17716 | + | 7.86755i | −0.0954804 | + | 0.638143i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.59228 | + | 16.6664i | 0.289474 | + | 1.34302i | ||||
\(155\) | −11.0433 | − | 11.5722i | −0.887017 | − | 0.929500i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.17494 | − | 5.17494i | −0.413005 | − | 0.413005i | 0.469779 | − | 0.882784i | \(-0.344334\pi\) |
−0.882784 | + | 0.469779i | \(0.844334\pi\) | |||||||
\(158\) | −7.41212 | + | 0.409661i | −0.589677 | + | 0.0325909i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.37785 | − | 9.47690i | −0.662327 | − | 0.749215i | ||||
\(161\) | −18.0326 | + | 13.1014i | −1.42116 | + | 1.03254i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.30952 | + | 8.26801i | 0.102570 | + | 0.647601i | 0.984388 | + | 0.176011i | \(0.0563195\pi\) |
−0.881818 | + | 0.471589i | \(0.843680\pi\) | |||||||
\(164\) | −15.1842 | + | 1.68358i | −1.18569 | + | 0.131466i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.64566 | + | 0.270440i | 0.205343 | + | 0.0209902i | ||||
\(167\) | −2.24832 | − | 1.14558i | −0.173980 | − | 0.0886475i | 0.364831 | − | 0.931074i | \(-0.381127\pi\) |
−0.538812 | + | 0.842426i | \(0.681127\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.8274 | − | 6.11740i | 1.44826 | − | 0.470570i | ||||
\(170\) | −4.81166 | − | 13.3476i | −0.369038 | − | 1.02371i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 13.3567 | + | 0.623593i | 1.01844 | + | 0.0475485i | ||||
\(173\) | 1.71345 | − | 10.8183i | 0.130271 | − | 0.822498i | −0.832864 | − | 0.553478i | \(-0.813300\pi\) |
0.963135 | − | 0.269020i | \(-0.0866997\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.08237 | − | 18.8001i | −0.157412 | − | 1.42115i | ||||
\(176\) | −10.9658 | + | 6.49909i | −0.826580 | + | 0.489888i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.49652 | + | 13.1656i | −0.636841 | + | 0.986801i | ||||
\(179\) | −1.95273 | + | 6.00987i | −0.145954 | + | 0.449199i | −0.997132 | − | 0.0756768i | \(-0.975888\pi\) |
0.851179 | + | 0.524876i | \(0.175888\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.77451 | − | 20.8498i | −0.503545 | − | 1.54975i | −0.803203 | − | 0.595706i | \(-0.796873\pi\) |
0.299658 | − | 0.954047i | \(-0.403127\pi\) | |||||||
\(182\) | −29.6169 | − | 7.84532i | −2.19535 | − | 0.581534i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.5657 | − | 9.67973i | −1.00007 | − | 0.713599i | ||||
\(185\) | −10.6609 | + | 7.37101i | −0.783804 | + | 0.541928i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.1222 | + | 2.23674i | −1.03272 | + | 0.163566i | ||||
\(188\) | 8.49890 | + | 3.20690i | 0.619846 | + | 0.233887i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.04919 | − | 3.78359i | −0.583950 | − | 0.274491i | ||||
\(191\) | −2.31470 | + | 3.18591i | −0.167486 | + | 0.230524i | −0.884507 | − | 0.466527i | \(-0.845505\pi\) |
0.717021 | + | 0.697051i | \(0.245505\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.560677 | + | 0.560677i | −0.0403584 | + | 0.0403584i | −0.726998 | − | 0.686640i | \(-0.759085\pi\) |
0.686640 | + | 0.726998i | \(0.259085\pi\) | |||||||
\(194\) | −4.89865 | − | 4.38553i | −0.351703 | − | 0.314862i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.84609 | + | 10.8105i | 0.703292 | + | 0.772179i | ||||
\(197\) | 14.5597 | − | 7.41854i | 1.03734 | − | 0.528549i | 0.149525 | − | 0.988758i | \(-0.452225\pi\) |
0.887811 | + | 0.460209i | \(0.152225\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.83105 | 0.626017 | 0.313008 | − | 0.949750i | \(-0.398663\pi\) | ||||
0.313008 | + | 0.949750i | \(0.398663\pi\) | |||||||
\(200\) | 12.8368 | − | 5.93440i | 0.907697 | − | 0.419625i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.75599 | − | 7.11882i | −0.193911 | − | 0.500878i | ||||
\(203\) | 30.7278 | − | 15.6566i | 2.15667 | − | 1.09888i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.06569 | − | 16.8032i | 0.214117 | − | 1.17358i | ||||
\(206\) | 12.6895 | + | 11.3603i | 0.884118 | + | 0.791507i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.45985 | − | 22.8607i | −0.101222 | − | 1.58510i | ||||
\(209\) | −5.26830 | + | 7.25120i | −0.364416 | + | 0.501576i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.83691 | + | 10.7866i | 0.539515 | + | 0.742578i | 0.988543 | − | 0.150939i | \(-0.0482297\pi\) |
−0.449028 | + | 0.893518i | \(0.648230\pi\) | |||||||
\(212\) | 8.04673 | + | 3.03628i | 0.552652 | + | 0.208533i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.5452 | − | 5.54267i | −0.857575 | − | 0.378889i | ||||
\(215\) | −4.95080 | + | 14.1059i | −0.337642 | + | 0.962015i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.2859 | + | 24.1125i | −0.834024 | + | 1.63686i | ||||
\(218\) | −7.17769 | − | 1.90133i | −0.486135 | − | 0.128774i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.44470 | − | 13.8291i | −0.232241 | − | 0.932356i | ||||
\(221\) | 7.94012 | − | 24.4372i | 0.534110 | − | 1.64382i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.44805 | − | 1.17966i | −0.498758 | − | 0.0789956i | −0.0980131 | − | 0.995185i | \(-0.531249\pi\) |
−0.400745 | + | 0.916190i | \(0.631249\pi\) | |||||||
\(224\) | −10.4345 | + | 18.6836i | −0.697185 | + | 1.24835i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.95181 | + | 5.07916i | 0.196351 | + | 0.337860i | ||||
\(227\) | 1.55633 | − | 9.82630i | 0.103297 | − | 0.652194i | −0.880654 | − | 0.473759i | \(-0.842897\pi\) |
0.983952 | − | 0.178435i | \(-0.0571034\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.7309 | − | 4.78636i | −0.973446 | − | 0.316292i | −0.221240 | − | 0.975219i | \(-0.571010\pi\) |
−0.752206 | + | 0.658928i | \(0.771010\pi\) | |||||||
\(230\) | 14.7175 | − | 11.4259i | 0.970445 | − | 0.753398i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.3877 | + | 18.0756i | 1.20721 | + | 1.18672i | ||||
\(233\) | −6.23351 | − | 3.17613i | −0.408371 | − | 0.208075i | 0.237723 | − | 0.971333i | \(-0.423599\pi\) |
−0.646094 | + | 0.763257i | \(0.723599\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.16002 | + | 8.07456i | −0.401835 | + | 0.526726i | ||||
\(236\) | 12.9165 | − | 1.43214i | 0.840790 | − | 0.0932241i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −18.6115 | + | 15.1594i | −1.20640 | + | 0.982638i | ||||
\(239\) | 4.50266 | − | 3.27138i | 0.291253 | − | 0.211608i | −0.432558 | − | 0.901606i | \(-0.642389\pi\) |
0.723811 | + | 0.689998i | \(0.242389\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.28091 | + | 3.11026i | 0.275757 | + | 0.200350i | 0.717065 | − | 0.697006i | \(-0.245485\pi\) |
−0.441307 | + | 0.897356i | \(0.645485\pi\) | |||||||
\(242\) | 1.19252 | − | 0.0659097i | 0.0766584 | − | 0.00423684i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.95519 | + | 9.46367i | −0.125168 | + | 0.605849i | ||||
\(245\) | −14.7360 | + | 7.07935i | −0.941445 | + | 0.452283i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.31243 | − | 14.3514i | −0.465279 | − | 0.913161i | ||||
\(248\) | −20.0107 | − | 2.99404i | −1.27068 | − | 0.190122i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.23994 | + | 15.6519i | 0.141666 | + | 0.989914i | ||||
\(251\) | 15.3609i | 0.969572i | 0.874633 | + | 0.484786i | \(0.161102\pi\) | ||||
−0.874633 | + | 0.484786i | \(0.838898\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.52430 | − | 16.7299i | −0.535918 | − | 1.05180i | ||||
\(254\) | 16.0139 | − | 3.45164i | 1.00480 | − | 0.216575i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.7222 | − | 2.96854i | −0.982638 | − | 0.185534i | ||||
\(257\) | 12.1799 | + | 12.1799i | 0.759760 | + | 0.759760i | 0.976278 | − | 0.216519i | \(-0.0694703\pi\) |
−0.216519 | + | 0.976278i | \(0.569470\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.7397 | + | 12.8887i | 1.10229 | + | 0.800863i | ||||
\(260\) | 24.9534 | + | 5.76681i | 1.54754 | + | 0.357642i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.80229 | − | 12.0345i | −0.605588 | − | 0.743491i | ||||
\(263\) | −3.97405 | − | 25.0911i | −0.245050 | − | 1.54719i | −0.736595 | − | 0.676334i | \(-0.763568\pi\) |
0.491545 | − | 0.870852i | \(-0.336432\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.83229 | + | 7.64497i | −0.358275 | + | 0.469627i | ||||
\(266\) | −1.53016 | + | 14.9692i | −0.0938199 | + | 0.917818i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 19.1964 | − | 5.26125i | 1.17261 | − | 0.321382i | ||||
\(269\) | 18.7336 | − | 6.08693i | 1.14221 | − | 0.371126i | 0.324006 | − | 0.946055i | \(-0.394970\pi\) |
0.818204 | + | 0.574928i | \(0.194970\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 24.1214 | + | 7.83752i | 1.46527 | + | 0.476095i | 0.929676 | − | 0.368379i | \(-0.120087\pi\) |
0.535595 | + | 0.844475i | \(0.320087\pi\) | |||||||
\(272\) | −15.1622 | − | 9.60224i | −0.919343 | − | 0.582221i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.79040 | + | 5.10864i | −0.531048 | + | 0.308624i | ||||
\(275\) | 15.9164 | + | 0.744879i | 0.959795 | + | 0.0449179i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 28.7725 | + | 4.55711i | 1.72877 | + | 0.273810i | 0.940073 | − | 0.340973i | \(-0.110756\pi\) |
0.788696 | + | 0.614783i | \(0.210756\pi\) | |||||||
\(278\) | −0.545093 | − | 0.351780i | −0.0326925 | − | 0.0210984i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −16.6655 | − | 17.1671i | −0.995954 | − | 1.02593i | ||||
\(281\) | 0.728710 | + | 2.24274i | 0.0434712 | + | 0.133790i | 0.970437 | − | 0.241356i | \(-0.0775923\pi\) |
−0.926965 | + | 0.375147i | \(0.877592\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.68103 | − | 11.1496i | 0.337702 | − | 0.662777i | −0.658237 | − | 0.752811i | \(-0.728697\pi\) |
0.995939 | + | 0.0900336i | \(0.0286974\pi\) | |||||||
\(284\) | 4.90280 | − | 2.21648i | 0.290928 | − | 0.131524i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.4303 | − | 23.6079i | 0.616757 | − | 1.39596i | ||||
\(287\) | −28.5413 | + | 4.52050i | −1.68474 | + | 0.266837i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.84032 | − | 2.53299i | −0.108254 | − | 0.148999i | ||||
\(290\) | −25.2563 | + | 13.8984i | −1.48310 | + | 0.816143i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.75030 | + | 8.74503i | 0.336511 | + | 0.511764i | ||||
\(293\) | −9.39519 | + | 9.39519i | −0.548873 | + | 0.548873i | −0.926115 | − | 0.377242i | \(-0.876873\pi\) |
0.377242 | + | 0.926115i | \(0.376873\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.60782 | + | 14.2936i | −0.151833 | + | 0.832205i | ||||
\(296\) | −4.93253 | + | 15.6348i | −0.286697 | + | 0.908756i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.51693 | + | 3.68439i | −0.551301 | + | 0.213431i | ||||
\(299\) | 33.7423 | 1.95137 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.2917 | 1.45779 | ||||||||
\(302\) | 7.91898 | − | 3.06576i | 0.455686 | − | 0.176415i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −10.9770 | + | 2.46449i | −0.629574 | + | 0.141348i | ||||
\(305\) | −9.50926 | − | 5.12872i | −0.544498 | − | 0.293669i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.71466 | + | 5.71466i | −0.326153 | + | 0.326153i | −0.851122 | − | 0.524969i | \(-0.824077\pi\) |
0.524969 | + | 0.851122i | \(0.324077\pi\) | |||||||
\(308\) | −20.1460 | + | 13.2470i | −1.14793 | + | 0.754820i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.62335 | − | 20.4727i | 0.546569 | − | 1.16277i | ||||
\(311\) | 1.83300 | + | 2.52291i | 0.103940 | + | 0.143061i | 0.857819 | − | 0.513953i | \(-0.171819\pi\) |
−0.753879 | + | 0.657014i | \(0.771819\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.3284 | + | 3.06132i | −1.09251 | + | 0.173036i | −0.676586 | − | 0.736364i | \(-0.736541\pi\) |
−0.415922 | + | 0.909400i | \(0.636541\pi\) | |||||||
\(314\) | 4.18268 | − | 9.46706i | 0.236042 | − | 0.534257i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.32471 | − | 9.56618i | −0.243284 | − | 0.538139i | ||||
\(317\) | 4.91849 | − | 9.65308i | 0.276250 | − | 0.542171i | −0.710642 | − | 0.703554i | \(-0.751595\pi\) |
0.986892 | + | 0.161383i | \(0.0515954\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.97729 | + | 27.6293i | 0.502632 | + | 1.54694i | ||||
\(320\) | 8.22092 | − | 15.8876i | 0.459563 | − | 0.888145i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −26.4855 | − | 17.0926i | −1.47598 | − | 0.952536i | ||||
\(323\) | −12.4639 | − | 1.97409i | −0.693510 | − | 0.109841i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −14.1781 | + | 24.8775i | −0.786458 | + | 1.37996i | ||||
\(326\) | −10.2355 | + | 5.94847i | −0.566892 | + | 0.329455i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.97303 | − | 19.1659i | −0.550669 | − | 1.05826i | ||||
\(329\) | 16.3411 | + | 5.30955i | 0.900914 | + | 0.292725i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.3803 | + | 8.24655i | −1.39503 | + | 0.453271i | −0.907579 | − | 0.419881i | \(-0.862072\pi\) |
−0.487447 | + | 0.873153i | \(0.662072\pi\) | |||||||
\(332\) | 0.994137 | + | 3.62725i | 0.0545604 | + | 0.199071i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.362889 | − | 3.55006i | 0.0198564 | − | 0.194251i | ||||
\(335\) | −0.520304 | + | 22.2477i | −0.0284273 | + | 1.21552i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.384015 | + | 2.42457i | 0.0209186 | + | 0.132075i | 0.995938 | − | 0.0900470i | \(-0.0287017\pi\) |
−0.975019 | + | 0.222122i | \(0.928702\pi\) | |||||||
\(338\) | 17.6806 | + | 21.7068i | 0.961699 | + | 1.18070i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 15.1465 | − | 13.1607i | 0.821432 | − | 0.713738i | ||||
\(341\) | −18.4430 | − | 13.3996i | −0.998745 | − | 0.725631i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.832357 | + | 0.832357i | 0.0449431 | + | 0.0449431i | ||||
\(344\) | 5.99715 | + | 17.9336i | 0.323345 | + | 0.966915i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.1423 | − | 3.26378i | 0.814055 | − | 0.175462i | ||||
\(347\) | −11.8684 | − | 23.2931i | −0.637129 | − | 1.25044i | −0.953383 | − | 0.301762i | \(-0.902425\pi\) |
0.316254 | − | 0.948675i | \(-0.397575\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.9516i | 1.44269i | 0.692578 | + | 0.721343i | \(0.256475\pi\) | ||||
−0.692578 | + | 0.721343i | \(0.743525\pi\) | |||||||
\(350\) | 23.7309 | − | 12.3451i | 1.26847 | − | 0.659874i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −14.1701 | − | 11.1438i | −0.755267 | − | 0.593967i | ||||
\(353\) | −1.86058 | − | 3.65160i | −0.0990289 | − | 0.194355i | 0.836177 | − | 0.548460i | \(-0.184786\pi\) |
−0.935206 | + | 0.354105i | \(0.884786\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.801878 | + | 5.96195i | 0.0425593 | + | 0.316427i | ||||
\(356\) | −21.7013 | − | 4.48348i | −1.15016 | − | 0.237624i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.92302 | + | 0.493167i | −0.471596 | + | 0.0260647i | ||||
\(359\) | 0.119029 | + | 0.0864800i | 0.00628213 | + | 0.00456424i | 0.590922 | − | 0.806729i | \(-0.298764\pi\) |
−0.584640 | + | 0.811293i | \(0.698764\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.97159 | − | 6.51824i | 0.472189 | − | 0.343065i | ||||
\(362\) | 24.0385 | − | 19.5798i | 1.26343 | − | 1.02909i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.77494 | − | 43.0652i | −0.250275 | − | 2.25723i | ||||
\(365\) | −11.2104 | + | 3.35480i | −0.586777 | + | 0.175598i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.01183 | + | 2.04413i | 0.209416 | + | 0.106703i | 0.555553 | − | 0.831481i | \(-0.312507\pi\) |
−0.346137 | + | 0.938184i | \(0.612507\pi\) | |||||||
\(368\) | 5.83965 | − | 22.8330i | 0.304413 | − | 1.19025i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −15.1643 | − | 10.2965i | −0.788354 | − | 0.535287i | ||||
\(371\) | 15.4717 | + | 5.02706i | 0.803251 | + | 0.260992i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.30218 | + | 20.8491i | −0.170980 | + | 1.07953i | 0.741664 | + | 0.670772i | \(0.234037\pi\) |
−0.912644 | + | 0.408755i | \(0.865963\pi\) | |||||||
\(374\) | −10.1603 | − | 17.4828i | −0.525376 | − | 0.904012i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.109952 | + | 12.8460i | 0.00567036 | + | 0.662480i | ||||
\(377\) | −51.5639 | − | 8.16691i | −2.65567 | − | 0.420618i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.41385 | − | 13.5844i | 0.226724 | − | 0.697786i | −0.771388 | − | 0.636366i | \(-0.780437\pi\) |
0.998112 | − | 0.0614203i | \(-0.0195630\pi\) | |||||||
\(380\) | 0.880210 | − | 12.5473i | 0.0451538 | − | 0.643664i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.38350 | − | 1.42605i | −0.275444 | − | 0.0729633i | ||||
\(383\) | −1.28672 | + | 2.52534i | −0.0657485 | + | 0.129039i | −0.921542 | − | 0.388279i | \(-0.873070\pi\) |
0.855793 | + | 0.517318i | \(0.173070\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.72849 | − | 25.8254i | −0.393880 | − | 1.31619i | ||||
\(386\) | −1.02570 | − | 0.453171i | −0.0522070 | − | 0.0230658i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.28264 | − | 8.69963i | 0.166651 | − | 0.441657i | ||||
\(389\) | 5.93355 | + | 8.16684i | 0.300843 | + | 0.414075i | 0.932498 | − | 0.361174i | \(-0.117624\pi\) |
−0.631655 | + | 0.775250i | \(0.717624\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.5386 | − | 21.3871i | 0.785823 | − | 1.08159i | ||||
\(392\) | −9.23007 | + | 18.5049i | −0.466189 | + | 0.934638i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 17.2176 | + | 15.4141i | 0.867410 | + | 0.776550i | ||||
\(395\) | 11.6327 | − | 1.56459i | 0.585306 | − | 0.0787233i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.5436 | − | 11.4865i | 1.13143 | − | 0.576492i | 0.214970 | − | 0.976621i | \(-0.431035\pi\) |
0.916459 | + | 0.400129i | \(0.131035\pi\) | |||||||
\(398\) | 4.50890 | + | 11.6467i | 0.226011 | + | 0.583794i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.3806 | + | 13.8996i | 0.719029 | + | 0.694980i | ||||
\(401\) | −17.2518 | −0.861514 | −0.430757 | − | 0.902468i | \(-0.641753\pi\) | ||||
−0.430757 | + | 0.902468i | \(0.641753\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 36.5021 | − | 18.5987i | 1.81830 | − | 0.926469i | ||||
\(404\) | 7.98138 | − | 7.26936i | 0.397089 | − | 0.361664i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 36.3372 | + | 32.5309i | 1.80338 | + | 1.61448i | ||||
\(407\) | −13.0613 | + | 13.0613i | −0.647425 | + | 0.647425i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.0539 | + | 28.9783i | −1.04105 | + | 1.43288i | −0.144732 | + | 0.989471i | \(0.546232\pi\) |
−0.896318 | + | 0.443412i | \(0.853768\pi\) | |||||||
\(410\) | 23.7258 | − | 4.53612i | 1.17173 | − | 0.224023i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.50336 | + | 22.5355i | −0.418931 | + | 1.11025i | ||||
\(413\) | 24.2786 | − | 3.84536i | 1.19467 | − | 0.189218i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.20380 | − | 0.0983139i | −0.206356 | − | 0.00482604i | ||||
\(416\) | 29.4040 | − | 13.5973i | 1.44165 | − | 0.666665i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.2530 | − | 3.24573i | −0.599312 | − | 0.158754i | ||||
\(419\) | 0.811971 | + | 2.49899i | 0.0396674 | + | 0.122084i | 0.968929 | − | 0.247338i | \(-0.0795558\pi\) |
−0.929262 | + | 0.369422i | \(0.879556\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.6553 | + | 32.7937i | −0.519308 | + | 1.59827i | 0.255996 | + | 0.966678i | \(0.417596\pi\) |
−0.775304 | + | 0.631588i | \(0.782404\pi\) | |||||||
\(422\) | −10.2244 | + | 15.8429i | −0.497714 | + | 0.771220i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.104103 | + | 12.1625i | 0.00505567 | + | 0.590664i | ||||
\(425\) | 9.23915 | + | 20.4429i | 0.448164 | + | 0.991626i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.85940 | + | 18.0536i | −0.138376 | + | 0.873673i | ||||
\(428\) | 0.904574 | − | 19.3750i | 0.0437242 | − | 0.936525i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −21.1311 | + | 0.672834i | −1.01903 | + | 0.0324469i | ||||
\(431\) | −17.2790 | + | 5.61428i | −0.832299 | + | 0.270430i | −0.694014 | − | 0.719962i | \(-0.744159\pi\) |
−0.138286 | + | 0.990392i | \(0.544159\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 29.5954 | + | 15.0796i | 1.42226 | + | 0.724679i | 0.984659 | − | 0.174490i | \(-0.0558276\pi\) |
0.437603 | + | 0.899168i | \(0.355828\pi\) | |||||||
\(434\) | −38.0732 | − | 3.89186i | −1.82757 | − | 0.186815i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.15721 | − | 10.4369i | −0.0554205 | − | 0.499838i | ||||
\(437\) | −2.59237 | − | 16.3676i | −0.124010 | − | 0.782967i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −20.3567 | + | 14.7900i | −0.971575 | + | 0.705890i | −0.955810 | − | 0.293986i | \(-0.905018\pi\) |
−0.0157647 | + | 0.999876i | \(0.505018\pi\) | |||||||
\(440\) | 16.4794 | − | 11.6037i | 0.785627 | − | 0.553186i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 36.2825 | − | 2.00530i | 1.72578 | − | 0.0953825i | ||||
\(443\) | 26.7805 | + | 26.7805i | 1.27238 | + | 1.27238i | 0.944837 | + | 0.327541i | \(0.106220\pi\) |
0.327541 | + | 0.944837i | \(0.393780\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.7607 | − | 21.8058i | 0.557512 | − | 1.03369i | ||||
\(446\) | −2.24701 | − | 10.4250i | −0.106399 | − | 0.493639i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −29.9681 | − | 4.22199i | −1.41586 | − | 0.199470i | ||||
\(449\) | 13.0315i | 0.614996i | 0.951549 | + | 0.307498i | \(0.0994918\pi\) | ||||
−0.951549 | + | 0.307498i | \(0.900508\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 24.3426i | − | 1.14625i | ||||||
\(452\) | −5.19143 | + | 6.48621i | −0.244184 | + | 0.305086i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.7538 | − | 2.96451i | 0.645500 | − | 0.139131i | ||||
\(455\) | 47.6568 | + | 8.69484i | 2.23418 | + | 0.407621i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.56587 | + | 2.56587i | 0.120026 | + | 0.120026i | 0.764569 | − | 0.644542i | \(-0.222952\pi\) |
−0.644542 | + | 0.764569i | \(0.722952\pi\) | |||||||
\(458\) | −1.20881 | − | 21.8714i | −0.0564840 | − | 1.02198i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.5831 | + | 13.5762i | 1.05294 | + | 0.632993i | ||||
\(461\) | 24.2919 | − | 17.6491i | 1.13138 | − | 0.821999i | 0.145489 | − | 0.989360i | \(-0.453524\pi\) |
0.985896 | + | 0.167361i | \(0.0535244\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.50581 | − | 9.50734i | −0.0699811 | − | 0.441844i | −0.997654 | − | 0.0684508i | \(-0.978194\pi\) |
0.927673 | − | 0.373393i | \(-0.121806\pi\) | |||||||
\(464\) | −14.4504 | + | 33.4793i | −0.670844 | + | 1.55424i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.00612 | − | 9.84260i | 0.0466074 | − | 0.455950i | ||||
\(467\) | 21.9563 | + | 11.1873i | 1.01602 | + | 0.517686i | 0.880980 | − | 0.473154i | \(-0.156885\pi\) |
0.135037 | + | 0.990841i | \(0.456885\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 35.8065 | − | 11.6342i | 1.65339 | − | 0.537219i | ||||
\(470\) | −13.7941 | − | 4.00137i | −0.636275 | − | 0.184569i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.48355 | + | 16.3034i | 0.390487 | + | 0.750425i | ||||
\(473\) | −3.33291 | + | 21.0432i | −0.153247 | + | 0.967566i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.1568 | + | 4.96613i | 0.603673 | + | 0.227862i | ||||
\(476\) | −29.4952 | − | 16.8054i | −1.35191 | − | 0.770274i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.61334 | + | 4.26797i | 0.302487 | + | 0.195213i | ||||
\(479\) | 10.8575 | − | 33.4159i | 0.496091 | − | 1.52681i | −0.319159 | − | 0.947701i | \(-0.603400\pi\) |
0.815250 | − | 0.579110i | \(-0.196600\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.2576 | − | 31.5697i | −0.467707 | − | 1.43946i | ||||
\(482\) | −1.91619 | + | 7.23381i | −0.0872801 | + | 0.329491i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.695795 | + | 1.53909i | 0.0316271 | + | 0.0699585i | ||||
\(485\) | 8.26527 | + | 6.30551i | 0.375307 | + | 0.286318i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 30.0414 | − | 4.75809i | 1.36131 | − | 0.215610i | 0.567296 | − | 0.823514i | \(-0.307990\pi\) |
0.794010 | + | 0.607904i | \(0.207990\pi\) | |||||||
\(488\) | −13.4792 | + | 2.25333i | −0.610177 | + | 0.102003i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −16.8603 | − | 15.8197i | −0.761669 | − | 0.714661i | ||||
\(491\) | 4.57417 | − | 6.29580i | 0.206429 | − | 0.284125i | −0.693232 | − | 0.720715i | \(-0.743814\pi\) |
0.899661 | + | 0.436589i | \(0.143814\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −28.9221 | + | 28.9221i | −1.30259 | + | 1.30259i | ||||
\(494\) | 15.1936 | − | 16.9713i | 0.683592 | − | 0.763576i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.26828 | − | 27.9194i | −0.281454 | − | 1.25362i | ||||
\(497\) | 9.06806 | − | 4.62041i | 0.406758 | − | 0.207254i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.1079 | 0.944921 | 0.472461 | − | 0.881352i | \(-0.343366\pi\) | ||||
0.472461 | + | 0.881352i | \(0.343366\pi\) | |||||||
\(500\) | −19.4986 | + | 10.9456i | −0.872003 | + | 0.489500i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −20.2584 | + | 7.84287i | −0.904178 | + | 0.350044i | ||||
\(503\) | 29.0339 | − | 14.7935i | 1.29456 | − | 0.659610i | 0.335291 | − | 0.942115i | \(-0.391165\pi\) |
0.959266 | + | 0.282505i | \(0.0911653\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.22668 | + | 10.8795i | 0.232584 | + | 0.484133i | ||||
\(506\) | 17.7116 | − | 19.7840i | 0.787377 | − | 0.879504i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.7284 | + | 19.3573i | 0.564731 | + | 0.858840i | ||||
\(509\) | −9.07044 | + | 12.4844i | −0.402040 | + | 0.553361i | −0.961255 | − | 0.275662i | \(-0.911103\pi\) |
0.559214 | + | 0.829023i | \(0.311103\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.6363 | + | 16.0160i | 0.514760 | + | 0.708507i | ||||
\(512\) | −4.11233 | − | 22.2506i | −0.181741 | − | 0.983346i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.84447 | + | 22.2819i | −0.434221 | + | 0.982813i | ||||
\(515\) | −21.4104 | − | 16.3338i | −0.943453 | − | 0.719753i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.57105 | + | 12.8964i | −0.288994 | + | 0.567183i | ||||
\(518\) | −7.94053 | + | 29.9763i | −0.348887 | + | 1.31708i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.13508 | + | 35.8537i | 0.225188 | + | 1.57229i | ||||
\(521\) | 11.0271 | − | 33.9378i | 0.483104 | − | 1.48684i | −0.351603 | − | 0.936149i | \(-0.614363\pi\) |
0.834708 | − | 0.550693i | \(-0.185637\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 22.2177 | + | 3.51894i | 0.971512 | + | 0.153872i | 0.621964 | − | 0.783046i | \(-0.286335\pi\) |
0.349548 | + | 0.936918i | \(0.386335\pi\) | |||||||
\(524\) | 10.8666 | − | 19.0720i | 0.474711 | − | 0.833166i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 31.0619 | − | 18.0520i | 1.35436 | − | 0.787103i | ||||
\(527\) | 5.02098 | − | 31.7012i | 0.218717 | − | 1.38093i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.1422 | + | 3.62031i | 0.484442 | + | 0.157405i | ||||
\(530\) | −13.0602 | − | 3.78848i | −0.567300 | − | 0.164561i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −20.5230 | + | 5.62484i | −0.889787 | + | 0.243868i | ||||
\(533\) | 38.9771 | + | 19.8598i | 1.68829 | + | 0.860226i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.4618 | + | 7.18156i | 0.884641 | + | 0.310486i | ||||
\(536\) | 16.7399 | + | 22.6306i | 0.723052 | + | 0.977492i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 17.5925 | + | 21.5987i | 0.758468 | + | 0.931185i | ||||
\(539\) | −18.8493 | + | 13.6948i | −0.811895 | + | 0.589876i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.2427 | − | 19.0664i | −1.12826 | − | 0.819730i | −0.142820 | − | 0.989749i | \(-0.545617\pi\) |
−0.985441 | + | 0.170019i | \(0.945617\pi\) | |||||||
\(542\) | 1.97939 | + | 35.8137i | 0.0850220 | + | 1.53833i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.92231 | − | 24.8990i | 0.211042 | − | 1.06754i | ||||
\(545\) | 11.5497 | + | 2.10721i | 0.494735 | + | 0.0902629i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.08784 | + | 15.8733i | 0.345811 | + | 0.678692i | 0.996760 | − | 0.0804289i | \(-0.0256290\pi\) |
−0.650949 | + | 0.759121i | \(0.725629\pi\) | |||||||
\(548\) | −11.2256 | − | 8.98472i | −0.479533 | − | 0.383808i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.14413 | + | 21.3714i | 0.304627 | + | 0.911278i | ||||
\(551\) | 25.6398i | 1.09229i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.01518 | − | 17.6933i | −0.383364 | − | 0.752395i | ||||
\(554\) | 8.68040 | + | 40.2727i | 0.368795 | + | 1.71102i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.185629 | − | 0.898495i | 0.00787242 | − | 0.0381047i | ||||
\(557\) | −1.21960 | − | 1.21960i | −0.0516762 | − | 0.0516762i | 0.680796 | − | 0.732473i | \(-0.261634\pi\) |
−0.732473 | + | 0.680796i | \(0.761634\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −30.9750 | − | 22.5047i | −1.31010 | − | 0.951846i | ||||
\(560\) | 14.1315 | − | 30.7440i | 0.597164 | − | 1.29917i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.58573 | + | 2.10613i | −0.109072 | + | 0.0888416i | ||||
\(563\) | 3.05112 | + | 19.2640i | 0.128589 | + | 0.811882i | 0.964706 | + | 0.263330i | \(0.0848207\pi\) |
−0.836116 | + | 0.548552i | \(0.815179\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.28249 | − | 7.64020i | −0.222236 | − | 0.321426i | ||||
\(566\) | 17.6051 | + | 1.79960i | 0.739996 | + | 0.0756428i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.42640 | + | 5.33430i | 0.227687 | + | 0.223822i | ||||
\(569\) | −7.24903 | + | 2.35535i | −0.303895 | + | 0.0987415i | −0.456995 | − | 0.889469i | \(-0.651074\pi\) |
0.153100 | + | 0.988211i | \(0.451074\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.36607 | + | 0.768784i | 0.0990171 | + | 0.0321726i | 0.358107 | − | 0.933681i | \(-0.383422\pi\) |
−0.259089 | + | 0.965853i | \(0.583422\pi\) | |||||||
\(572\) | 36.4603 | + | 1.70225i | 1.52448 | + | 0.0711745i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −20.5342 | − | 35.3331i | −0.857081 | − | 1.47478i | ||||
\(575\) | −21.7824 | + | 19.8347i | −0.908388 | + | 0.827165i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −36.6621 | − | 5.80671i | −1.52626 | − | 0.241736i | −0.663821 | − | 0.747891i | \(-0.731066\pi\) |
−0.862443 | + | 0.506155i | \(0.831066\pi\) | |||||||
\(578\) | 2.40096 | − | 3.72035i | 0.0998669 | − | 0.154746i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −31.2249 | − | 26.2127i | −1.29654 | − | 1.08842i | ||||
\(581\) | 2.19834 | + | 6.76580i | 0.0912026 | + | 0.280693i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.22145 | + | 12.2103i | −0.257666 | + | 0.505698i | ||||
\(584\) | −8.59727 | + | 12.0487i | −0.355757 | + | 0.498577i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.1876 | − | 7.59373i | −0.710013 | − | 0.313694i | ||||
\(587\) | 11.9115 | − | 1.88659i | 0.491638 | − | 0.0778678i | 0.0943071 | − | 0.995543i | \(-0.469936\pi\) |
0.397331 | + | 0.917675i | \(0.369936\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.8262 | − | 16.2774i | −0.487290 | − | 0.670697i | ||||
\(590\) | −20.1823 | + | 3.85865i | −0.830892 | + | 0.158858i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −23.1381 | + | 1.47757i | −0.950971 | + | 0.0607277i | ||||
\(593\) | −22.6034 | + | 22.6034i | −0.928211 | + | 0.928211i | −0.997590 | − | 0.0693792i | \(-0.977898\pi\) |
0.0693792 | + | 0.997590i | \(0.477898\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 27.4575 | − | 26.2025i | 1.12565 | − | 1.07420i | ||||
\(596\) | −9.71819 | − | 10.6701i | −0.398072 | − | 0.437063i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 17.2279 | + | 44.5004i | 0.704502 | + | 1.81976i | ||||
\(599\) | 33.3121 | 1.36109 | 0.680547 | − | 0.732705i | \(-0.261742\pi\) | ||||
0.680547 | + | 0.732705i | \(0.261742\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.4204 | −1.07771 | −0.538856 | − | 0.842398i | \(-0.681143\pi\) | ||||
−0.538856 | + | 0.842398i | \(0.681143\pi\) | |||||||
\(602\) | 12.9133 | + | 33.3555i | 0.526307 | + | 1.35947i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.08645 | + | 8.87850i | 0.329033 | + | 0.361261i | ||||
\(605\) | −1.87157 | + | 0.251725i | −0.0760902 | + | 0.0102341i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.2216 | − | 20.2216i | 0.820768 | − | 0.820768i | −0.165450 | − | 0.986218i | \(-0.552908\pi\) |
0.986218 | + | 0.165450i | \(0.0529076\pi\) | |||||||
\(608\) | −8.85480 | − | 13.2185i | −0.359110 | − | 0.536081i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.90873 | − | 15.1597i | 0.0772823 | − | 0.613798i | ||||
\(611\) | −15.2886 | − | 21.0430i | −0.618512 | − | 0.851309i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 40.0338 | − | 6.34074i | 1.61695 | − | 0.256100i | 0.718615 | − | 0.695408i | \(-0.244776\pi\) |
0.898336 | + | 0.439308i | \(0.144776\pi\) | |||||||
\(614\) | −10.4544 | − | 4.61891i | −0.421906 | − | 0.186404i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −27.7566 | − | 19.8056i | −1.11835 | − | 0.797991i | ||||
\(617\) | 5.90249 | − | 11.5843i | 0.237625 | − | 0.466366i | −0.741140 | − | 0.671351i | \(-0.765714\pi\) |
0.978765 | + | 0.204985i | \(0.0657144\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.82642 | − | 17.9319i | −0.234183 | − | 0.720743i | −0.997229 | − | 0.0743975i | \(-0.976297\pi\) |
0.763045 | − | 0.646345i | \(-0.223703\pi\) | |||||||
\(620\) | 31.9134 | + | 2.23876i | 1.28167 | + | 0.0899109i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.39141 | + | 3.70555i | −0.0958868 | + | 0.148579i | ||||
\(623\) | −41.3989 | − | 6.55694i | −1.65861 | − | 0.262698i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.47108 | − | 24.3940i | −0.218843 | − | 0.975760i | ||||
\(626\) | −13.9060 | − | 23.9279i | −0.555794 | − | 0.956352i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.6210 | + | 0.682622i | 0.583442 | + | 0.0272396i | ||||
\(629\) | −24.7338 | − | 8.03649i | −0.986200 | − | 0.320436i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −43.8376 | + | 14.2437i | −1.74515 | + | 0.567032i | −0.995496 | − | 0.0948030i | \(-0.969778\pi\) |
−0.749649 | + | 0.661835i | \(0.769778\pi\) | |||||||
\(632\) | 10.4081 | − | 10.5878i | 0.414011 | − | 0.421160i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.2420 | + | 1.55805i | 0.605338 | + | 0.0618780i | ||||
\(635\) | −24.8143 | + | 7.42591i | −0.984727 | + | 0.294688i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.54985 | − | 41.3541i | −0.259515 | − | 1.63851i | ||||
\(638\) | −31.8548 | + | 25.9463i | −1.26114 | + | 1.02722i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 25.1505 | + | 2.73020i | 0.994160 | + | 0.107921i | ||||
\(641\) | −0.312769 | − | 0.227240i | −0.0123537 | − | 0.00897545i | 0.581591 | − | 0.813481i | \(-0.302430\pi\) |
−0.593945 | + | 0.804506i | \(0.702430\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.3778 | − | 13.3778i | −0.527569 | − | 0.527569i | 0.392278 | − | 0.919847i | \(-0.371687\pi\) |
−0.919847 | + | 0.392278i | \(0.871687\pi\) | |||||||
\(644\) | 9.01952 | − | 43.6569i | 0.355419 | − | 1.72032i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.76025 | − | 17.4457i | −0.147945 | − | 0.686392i | ||||
\(647\) | −6.16863 | − | 12.1066i | −0.242514 | − | 0.475960i | 0.737380 | − | 0.675478i | \(-0.236063\pi\) |
−0.979894 | + | 0.199518i | \(0.936063\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.7070i | 0.812820i | ||||||||
\(650\) | −40.0482 | − | 5.99667i | −1.57082 | − | 0.235209i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −13.0710 | − | 10.4618i | −0.511900 | − | 0.409714i | ||||
\(653\) | 17.6758 | + | 34.6908i | 0.691709 | + | 1.35755i | 0.923049 | + | 0.384682i | \(0.125689\pi\) |
−0.231341 | + | 0.972873i | \(0.574311\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.9429 | + | 17.7544i | 0.662016 | + | 0.693722i | ||||
\(656\) | 20.1846 | − | 22.9383i | 0.788075 | − | 0.895591i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.34094 | + | 24.2621i | 0.0522754 | + | 0.945834i | ||||
\(659\) | 19.0465 | + | 13.8381i | 0.741948 | + | 0.539057i | 0.893320 | − | 0.449420i | \(-0.148369\pi\) |
−0.151373 | + | 0.988477i | \(0.548369\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.6894 | + | 11.3990i | −0.610249 | + | 0.443372i | −0.849502 | − | 0.527586i | \(-0.823097\pi\) |
0.239253 | + | 0.970957i | \(0.423097\pi\) | |||||||
\(662\) | −23.8343 | − | 29.2618i | −0.926346 | − | 1.13729i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.27615 | + | 3.16308i | −0.165947 | + | 0.122751i | ||||
\(665\) | 0.556262 | − | 23.7852i | 0.0215709 | − | 0.922349i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −47.8581 | − | 24.3849i | −1.85307 | − | 0.944189i | ||||
\(668\) | 4.86721 | − | 1.33398i | 0.188318 | − | 0.0516131i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −29.6065 | + | 10.6729i | −1.14380 | + | 0.412329i | ||||
\(671\) | −14.6441 | − | 4.75815i | −0.565328 | − | 0.183686i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.78582 | − | 30.2165i | 0.184480 | − | 1.16476i | −0.705483 | − | 0.708726i | \(-0.749270\pi\) |
0.889963 | − | 0.456033i | \(-0.150730\pi\) | |||||||
\(674\) | −3.00153 | + | 1.74437i | −0.115615 | + | 0.0671907i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −19.6004 | + | 34.4007i | −0.753860 | + | 1.32310i | ||||
\(677\) | −37.1215 | − | 5.87947i | −1.42670 | − | 0.225966i | −0.605151 | − | 0.796111i | \(-0.706887\pi\) |
−0.821545 | + | 0.570144i | \(0.806887\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.43495 | − | 16.7271i | 0.208574 | − | 0.641926i | ||||
\(680\) | 25.0901 | + | 13.2561i | 0.962161 | + | 0.508349i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.25533 | − | 31.1647i | 0.316113 | − | 1.19336i | ||||
\(683\) | 2.82681 | − | 5.54792i | 0.108165 | − | 0.212285i | −0.830579 | − | 0.556900i | \(-0.811991\pi\) |
0.938744 | + | 0.344615i | \(0.111991\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.2228 | − | 9.14232i | 0.505216 | − | 0.349310i | ||||
\(686\) | −0.672759 | + | 1.52272i | −0.0256861 | + | 0.0581377i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −20.5894 | + | 17.0657i | −0.784963 | + | 0.650622i | ||||
\(689\) | −14.4752 | − | 19.9235i | −0.551463 | − | 0.759024i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −27.7225 | + | 38.1568i | −1.05462 | + | 1.45155i | −0.169877 | + | 0.985465i | \(0.554337\pi\) |
−0.884738 | + | 0.466088i | \(0.845663\pi\) | |||||||
\(692\) | 12.0356 | + | 18.3037i | 0.457526 | + | 0.695804i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.6599 | − | 27.5452i | 0.936077 | − | 1.04560i | ||||
\(695\) | 0.902823 | + | 0.486928i | 0.0342460 | + | 0.0184702i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.5372 | − | 15.5595i | 1.15668 | − | 0.589358i | ||||
\(698\) | −35.5446 | + | 13.7608i | −1.34538 | + | 0.520853i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 28.3975 | + | 24.9940i | 1.07332 | + | 0.944683i | ||||
\(701\) | 32.9433 | 1.24425 | 0.622126 | − | 0.782917i | \(-0.286269\pi\) | ||||
0.622126 | + | 0.782917i | \(0.286269\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.5256 | + | 7.40118i | −0.547844 | + | 0.279141i | ||||
\(704\) | 7.46193 | − | 24.3776i | 0.281232 | − | 0.918767i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.86588 | − | 4.31821i | 0.145494 | − | 0.162518i | ||||
\(707\) | 14.4391 | − | 14.4391i | 0.543040 | − | 0.543040i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.33723 | − | 4.59330i | 0.125332 | − | 0.172505i | −0.741740 | − | 0.670688i | \(-0.765999\pi\) |
0.867072 | + | 0.498183i | \(0.165999\pi\) | |||||||
\(710\) | −7.45338 | + | 4.10155i | −0.279720 | + | 0.153929i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.16714 | − | 30.9094i | −0.193647 | − | 1.15838i | ||||
\(713\) | 41.6300 | − | 6.59354i | 1.55905 | − | 0.246930i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −13.5144 | + | 38.5055i | −0.505410 | + | 1.44002i | ||||
\(716\) | −5.20626 | − | 11.5162i | −0.194567 | − | 0.430379i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.0532791 | + | 0.201134i | −0.00198836 | + | 0.00750626i | ||||
\(719\) | 10.8641 | + | 33.4362i | 0.405162 | + | 1.24696i | 0.920760 | + | 0.390130i | \(0.127570\pi\) |
−0.515597 | + | 0.856831i | \(0.672430\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.0787 | + | 43.3298i | −0.524318 | + | 1.61369i | ||||
\(722\) | 13.1771 | + | 8.50397i | 0.490401 | + | 0.316485i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 38.0958 | + | 21.7057i | 1.41582 | + | 0.806687i | ||||
\(725\) | 38.0879 | − | 25.0386i | 1.41455 | − | 0.929911i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.97044 | + | 37.6959i | −0.221432 | + | 1.39806i | 0.587054 | + | 0.809548i | \(0.300288\pi\) |
−0.808486 | + | 0.588516i | \(0.799712\pi\) | |||||||
\(728\) | 54.3578 | − | 28.2853i | 2.01463 | − | 1.04832i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −10.1481 | − | 13.0717i | −0.375599 | − | 0.483805i | ||||
\(731\) | −28.5286 | + | 9.26949i | −1.05517 | + | 0.342844i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −33.2393 | − | 16.9363i | −1.22772 | − | 0.625555i | −0.284805 | − | 0.958586i | \(-0.591929\pi\) |
−0.942916 | + | 0.333031i | \(0.891929\pi\) | |||||||
\(734\) | −0.647527 | + | 6.33460i | −0.0239006 | + | 0.233815i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.0945 | − | 3.95643i | 1.21988 | − | 0.145836i | ||||
\(737\) | 4.96136 | + | 31.3248i | 0.182754 | + | 1.15386i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.6572 | − | 13.5552i | 0.686316 | − | 0.498638i | −0.189131 | − | 0.981952i | \(-0.560567\pi\) |
0.875447 | + | 0.483314i | \(0.160567\pi\) | |||||||
\(740\) | 5.83680 | − | 25.2562i | 0.214565 | − | 0.928437i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.26960 | + | 22.9713i | 0.0466085 | + | 0.843301i | ||||
\(743\) | −27.6530 | − | 27.6530i | −1.01449 | − | 1.01449i | −0.999893 | − | 0.0145985i | \(-0.995353\pi\) |
−0.0145985 | − | 0.999893i | \(-0.504647\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.5445 | − | 6.98739i | 0.532870 | − | 0.255998i | ||||
\(746\) | −29.1825 | + | 6.29000i | −1.06845 | + | 0.230293i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.8692 | − | 22.3259i | 0.653364 | − | 0.816317i | ||||
\(749\) | − | 36.6878i | − | 1.34054i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 46.4576i | − | 1.69526i | −0.530586 | − | 0.847631i | \(-0.678028\pi\) | ||
0.530586 | − | 0.847631i | \(-0.321972\pi\) | |||||||
\(752\) | −16.8855 | + | 6.70382i | −0.615751 | + | 0.244463i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.5564 | − | 72.1738i | −0.566530 | − | 2.62842i | ||||
\(755\) | −12.1024 | + | 5.81417i | −0.440452 | + | 0.211599i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.68302 | − | 9.68302i | −0.351935 | − | 0.351935i | 0.508894 | − | 0.860829i | \(-0.330055\pi\) |
−0.860829 | + | 0.508894i | \(0.830055\pi\) | |||||||
\(758\) | 20.1692 | − | 1.11473i | 0.732578 | − | 0.0404889i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.9972 | − | 5.24548i | 0.616554 | − | 0.190274i | ||||
\(761\) | −10.6853 | + | 7.76333i | −0.387342 | + | 0.281420i | −0.764365 | − | 0.644783i | \(-0.776948\pi\) |
0.377023 | + | 0.926204i | \(0.376948\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.10718 | − | 19.6179i | −0.112487 | − | 0.710217i | ||||
\(764\) | −0.867947 | − | 7.82803i | −0.0314012 | − | 0.283208i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.98746 | − | 0.407600i | −0.144073 | − | 0.0147272i | ||||
\(767\) | −33.1559 | − | 16.8937i | −1.19719 | − | 0.609998i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.2437 | + | 7.22741i | −0.802128 | + | 0.260627i | −0.681260 | − | 0.732041i | \(-0.738568\pi\) |
−0.120868 | + | 0.992669i | \(0.538568\pi\) | |||||||
\(770\) | 30.1134 | − | 23.3784i | 1.08521 | − | 0.842497i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0739584 | − | 1.58411i | 0.00266182 | − | 0.0570133i | ||||
\(773\) | 3.05840 | − | 19.3100i | 0.110003 | − | 0.694533i | −0.869625 | − | 0.493713i | \(-0.835639\pi\) |
0.979628 | − | 0.200820i | \(-0.0643606\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.6311 | + | 33.4635i | −0.453722 | + | 1.20204i | ||||
\(776\) | 13.1494 | − | 0.112549i | 0.472035 | − | 0.00404029i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.74116 | + | 11.9951i | −0.277534 | + | 0.430046i | ||||
\(779\) | 6.63897 | − | 20.4327i | 0.237866 | − | 0.732076i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.64928 | + | 8.15366i | 0.0947989 | + | 0.291761i | ||||
\(782\) | 36.1396 | + | 9.57314i | 1.29235 | + | 0.342335i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −29.1174 | − | 2.72479i | −1.03991 | − | 0.0973140i | ||||
\(785\) | −5.41944 | + | 15.4412i | −0.193428 | + | 0.551119i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.84772 | − | 0.451034i | 0.101510 | − | 0.0160776i | −0.105473 | − | 0.994422i | \(-0.533636\pi\) |
0.206983 | + | 0.978345i | \(0.433636\pi\) | |||||||
\(788\) | −11.5377 | + | 30.5771i | −0.411014 | + | 1.08926i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.00280 | + | 14.5428i | 0.284727 | + | 0.517409i | ||||
\(791\) | −9.23676 | + | 12.7133i | −0.328421 | + | 0.452033i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19.5661 | − | 19.5661i | 0.694811 | − | 0.694811i | ||||
\(794\) | 26.6589 | + | 23.8664i | 0.946090 | + | 0.846988i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −13.0578 | + | 11.8930i | −0.462823 | + | 0.421535i | ||||
\(797\) | −28.2728 | + | 14.4057i | −1.00147 | + | 0.510276i | −0.876252 | − | 0.481853i | \(-0.839964\pi\) |
−0.125221 | + | 0.992129i | \(0.539964\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −20.3784 | −0.720935 | ||||||||
\(800\) | −10.9889 | + | 26.0623i | −0.388515 | + | 0.921442i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.80832 | − | 22.7522i | −0.311033 | − | 0.803409i | ||||
\(803\) | −14.8590 | + | 7.57105i | −0.524364 | + | 0.267177i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 43.8673 | + | 23.6593i | 1.54612 | + | 0.833882i | ||||
\(806\) | 43.1656 | + | 38.6440i | 1.52044 | + | 1.36118i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 13.6621 | + | 6.81455i | 0.480632 | + | 0.239735i | ||||
\(809\) | −20.9392 | + | 28.8204i | −0.736184 | + | 1.01327i | 0.262645 | + | 0.964892i | \(0.415405\pi\) |
−0.998829 | + | 0.0483777i | \(0.984595\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.94055 | − | 13.6820i | −0.349060 | − | 0.480440i | 0.598000 | − | 0.801496i | \(-0.295962\pi\) |
−0.947060 | + | 0.321056i | \(0.895962\pi\) | |||||||
\(812\) | −24.3500 | + | 64.5320i | −0.854516 | + | 2.26463i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −23.8944 | − | 10.5569i | −0.837499 | − | 0.370019i | ||||
\(815\) | 15.3965 | − | 10.6453i | 0.539316 | − | 0.372887i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.53671 | + | 16.7542i | −0.298662 | + | 0.586156i | ||||
\(818\) | −48.9670 | − | 12.9710i | −1.71209 | − | 0.453522i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 18.0961 | + | 28.9743i | 0.631945 | + | 1.01183i | ||||
\(821\) | −11.9857 | + | 36.8881i | −0.418303 | + | 1.28740i | 0.490961 | + | 0.871182i | \(0.336646\pi\) |
−0.909263 | + | 0.416221i | \(0.863354\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −43.9738 | − | 6.96477i | −1.53283 | − | 0.242777i | −0.667741 | − | 0.744393i | \(-0.732739\pi\) |
−0.865090 | + | 0.501617i | \(0.832739\pi\) | |||||||
\(824\) | −34.0621 | + | 0.291548i | −1.18661 | + | 0.0101566i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.4674 | + | 30.0561i | 0.607768 | + | 1.04578i | ||||
\(827\) | −3.77162 | + | 23.8130i | −0.131152 | + | 0.828061i | 0.831144 | + | 0.556057i | \(0.187686\pi\) |
−0.962296 | + | 0.272004i | \(0.912314\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.9774 | + | 5.51628i | 0.589648 | + | 0.191588i | 0.588618 | − | 0.808411i | \(-0.299672\pi\) |
0.00103007 | + | 0.999999i | \(0.499672\pi\) | |||||||
\(830\) | −2.01669 | − | 5.59430i | −0.0700003 | − | 0.194181i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 32.9455 | + | 31.8364i | 1.14218 | + | 1.10373i | ||||
\(833\) | −29.2280 | − | 14.8924i | −1.01269 | − | 0.515992i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.131922 | + | 5.64085i | −0.00456535 | + | 0.195209i | ||||
\(836\) | −1.97547 | − | 17.8168i | −0.0683230 | − | 0.616206i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.88117 | + | 2.34677i | −0.0995285 | + | 0.0810679i | ||||
\(839\) | 29.6949 | − | 21.5746i | 1.02518 | − | 0.744838i | 0.0578434 | − | 0.998326i | \(-0.481578\pi\) |
0.967339 | + | 0.253487i | \(0.0815776\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 43.7717 | + | 31.8020i | 1.50937 | + | 1.09662i | ||||
\(842\) | −48.6896 | + | 2.69103i | −1.67796 | + | 0.0927390i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −26.1144 | − | 5.39523i | −0.898894 | − | 0.185711i | ||||
\(845\) | −30.5604 | − | 32.0240i | −1.05131 | − | 1.10166i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.45044 | + | 2.84664i | 0.0498376 | + | 0.0978118i | ||||
\(848\) | −15.9872 | + | 6.34716i | −0.549001 | + | 0.217962i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −22.2435 | + | 22.6225i | −0.762944 | + | 0.775944i | ||||
\(851\) | − | 34.1518i | − | 1.17071i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.8328 | + | 34.9989i | 0.610584 | + | 1.19834i | 0.964753 | + | 0.263157i | \(0.0847637\pi\) |
−0.354169 | + | 0.935181i | \(0.615236\pi\) | |||||||
\(854\) | −25.2695 | + | 5.44660i | −0.864706 | + | 0.186379i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 26.0142 | − | 8.69938i | 0.889146 | − | 0.297339i | ||||
\(857\) | 10.9795 | + | 10.9795i | 0.375051 | + | 0.375051i | 0.869313 | − | 0.494262i | \(-0.164562\pi\) |
−0.494262 | + | 0.869313i | \(0.664562\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.93540 | − | 2.85923i | −0.134274 | − | 0.0975558i | 0.518621 | − | 0.855004i | \(-0.326446\pi\) |
−0.652895 | + | 0.757449i | \(0.726446\pi\) | |||||||
\(860\) | −11.6763 | − | 27.5248i | −0.398159 | − | 0.938587i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.2265 | − | 19.9216i | −0.552676 | − | 0.678531i | ||||
\(863\) | 8.04227 | + | 50.7769i | 0.273762 | + | 1.72847i | 0.615034 | + | 0.788501i | \(0.289142\pi\) |
−0.341272 | + | 0.939965i | \(0.610858\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.4638 | + | 7.02174i | −0.797793 | + | 0.238746i | ||||
\(866\) | −4.77682 | + | 46.7305i | −0.162323 | + | 1.58797i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −14.3065 | − | 52.1992i | −0.485593 | − | 1.77176i | ||||
\(869\) | 15.9091 | − | 5.16919i | 0.539680 | − | 0.175353i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −54.2047 | − | 17.6122i | −1.83666 | − | 0.596766i | ||||
\(872\) | 13.1737 | − | 6.85499i | 0.446118 | − | 0.232139i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 20.2625 | − | 11.7757i | 0.685388 | − | 0.398320i | ||||
\(875\) | −35.8760 | + | 22.4011i | −1.21283 | + | 0.757295i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 38.6996 | + | 6.12942i | 1.30679 | + | 0.206976i | 0.770708 | − | 0.637188i | \(-0.219903\pi\) |
0.536085 | + | 0.844164i | \(0.319903\pi\) | |||||||
\(878\) | −29.8992 | − | 19.2957i | −1.00905 | − | 0.651198i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 23.7173 | + | 15.8090i | 0.799511 | + | 0.532923i | ||||
\(881\) | −2.79199 | − | 8.59285i | −0.0940645 | − | 0.289501i | 0.892944 | − | 0.450167i | \(-0.148636\pi\) |
−0.987009 | + | 0.160667i | \(0.948636\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.91111 | + | 15.5264i | −0.266230 | + | 0.522506i | −0.984960 | − | 0.172784i | \(-0.944724\pi\) |
0.718730 | + | 0.695289i | \(0.244724\pi\) | |||||||
\(884\) | 21.1695 | + | 46.8267i | 0.712009 | + | 1.57495i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −21.6455 | + | 48.9923i | −0.727195 | + | 1.64593i | ||||
\(887\) | 29.1515 | − | 4.61715i | 0.978812 | − | 0.155029i | 0.353526 | − | 0.935425i | \(-0.384983\pi\) |
0.625286 | + | 0.780396i | \(0.284983\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.7572 | + | 35.4517i | 0.863868 | + | 1.18901i | ||||
\(890\) | 34.7629 | + | 4.37694i | 1.16525 | + | 0.146715i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.6016 | − | 8.28617i | 0.421932 | − | 0.277441i | ||||
\(893\) | −9.03285 | + | 9.03285i | −0.302273 | + | 0.302273i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 14.0040 | − | 1.88352i | 0.468101 | − | 0.0629592i | ||||
\(896\) | −9.73285 | − | 41.6785i | −0.325152 | − | 1.39238i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.1864 | + | 6.65356i | −0.573517 | + | 0.222032i | ||||
\(899\) | −65.2134 | −2.17499 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −19.2942 | −0.642783 | ||||||||
\(902\) | 32.1037 | − | 12.4287i | 1.06894 | − | 0.413830i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.2048 | − | 3.53493i | −0.372667 | − | 0.117570i | ||||
\(905\) | −35.4639 | + | 33.8430i | −1.17886 | + | 1.12498i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.1655 | − | 20.1655i | 0.669586 | − | 0.669586i | −0.288034 | − | 0.957620i | \(-0.593002\pi\) |
0.957620 | + | 0.288034i | \(0.0930018\pi\) | |||||||
\(908\) | 10.9320 | + | 16.6254i | 0.362792 | + | 0.551733i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 12.8653 | + | 67.2906i | 0.426479 | + | 2.23066i | ||||
\(911\) | 20.6077 | + | 28.3641i | 0.682764 | + | 0.939744i | 0.999963 | − | 0.00861519i | \(-0.00274233\pi\) |
−0.317199 | + | 0.948359i | \(0.602742\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.91896 | + | 0.937472i | −0.195889 | + | 0.0310258i | ||||
\(914\) | −2.07388 | + | 4.69401i | −0.0685980 | + | 0.155264i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 28.2275 | − | 12.7612i | 0.932661 | − | 0.421641i | ||||
\(917\) | 18.8495 | − | 36.9942i | 0.622465 | − | 1.22166i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.59985 | + | 29.5453i | 0.316670 | + | 0.974609i | 0.975062 | + | 0.221934i | \(0.0712369\pi\) |
−0.658392 | + | 0.752675i | \(0.728763\pi\) | |||||||
\(920\) | −6.37434 | + | 36.7150i | −0.210156 | + | 1.21046i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 35.6789 | + | 23.0257i | 1.17502 | + | 0.758311i | ||||
\(923\) | −15.2170 | − | 2.41013i | −0.500873 | − | 0.0793306i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 25.1794 | + | 14.3501i | 0.827895 | + | 0.471830i | ||||
\(926\) | 11.7697 | − | 6.84011i | 0.386778 | − | 0.224780i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −51.5315 | − | 1.96403i | −1.69160 | − | 0.0644724i | ||||
\(929\) | −9.92021 | − | 3.22327i | −0.325472 | − | 0.105752i | 0.141724 | − | 0.989906i | \(-0.454736\pi\) |
−0.467195 | + | 0.884154i | \(0.654736\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.5567 | + | 6.35435i | −0.640944 | + | 0.208255i | ||||
\(932\) | 13.4944 | − | 3.69847i | 0.442024 | − | 0.121148i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.54384 | + | 34.6686i | −0.115958 | + | 1.13439i | ||||
\(935\) | 18.1827 | + | 26.2980i | 0.594637 | + | 0.860038i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.36346 | − | 40.1773i | −0.207885 | − | 1.31254i | −0.842076 | − | 0.539359i | \(-0.818666\pi\) |
0.634190 | − | 0.773177i | \(-0.281334\pi\) | |||||||
\(938\) | 33.6254 | + | 41.2826i | 1.09791 | + | 1.34792i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.76579 | − | 20.2351i | −0.0575937 | − | 0.659996i | ||||
\(941\) | −11.2321 | − | 8.16062i | −0.366157 | − | 0.266028i | 0.389459 | − | 0.921044i | \(-0.372662\pi\) |
−0.755615 | + | 0.655015i | \(0.772662\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 31.8246 | + | 31.8246i | 1.03635 | + | 1.03635i | ||||
\(944\) | −17.1700 | + | 19.5124i | −0.558835 | + | 0.635076i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −29.4541 | + | 6.34854i | −0.957635 | + | 0.206409i | ||||
\(947\) | 0.980303 | + | 1.92395i | 0.0318556 | + | 0.0625201i | 0.906386 | − | 0.422451i | \(-0.138830\pi\) |
−0.874530 | + | 0.484971i | \(0.838830\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 29.9690i | − | 0.972834i | ||||||
\(950\) | 0.168002 | + | 19.8871i | 0.00545069 | + | 0.645223i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.10401 | − | 47.4796i | 0.230242 | − | 1.53882i | ||||
\(953\) | −14.3483 | − | 28.1601i | −0.464786 | − | 0.912194i | −0.997813 | − | 0.0660958i | \(-0.978946\pi\) |
0.533027 | − | 0.846098i | \(-0.321054\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.66264 | + | 1.58047i | 0.280316 | + | 0.0511429i | ||||
\(956\) | −2.25214 | + | 10.9010i | −0.0728395 | + | 0.352563i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 49.6135 | − | 2.74209i | 1.60294 | − | 0.0885929i | ||||
\(959\) | −22.0027 | − | 15.9859i | −0.710504 | − | 0.516212i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.3210 | − | 11.8579i | 0.526484 | − | 0.382513i | ||||
\(962\) | 36.3979 | − | 29.6467i | 1.17351 | − | 0.955849i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.5185 | + | 1.16626i | −0.338779 | + | 0.0375627i | ||||
\(965\) | 1.67297 | + | 0.587167i | 0.0538547 | + | 0.0189016i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.6084 | − | 9.99098i | −0.630564 | − | 0.321288i | 0.109337 | − | 0.994005i | \(-0.465127\pi\) |
−0.739900 | + | 0.672717i | \(0.765127\pi\) | |||||||
\(968\) | −1.67454 | + | 1.70345i | −0.0538217 | + | 0.0547511i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.09587 | + | 14.1199i | −0.131511 | + | 0.453363i | ||||
\(971\) | −20.8080 | − | 6.76092i | −0.667759 | − | 0.216968i | −0.0445309 | − | 0.999008i | \(-0.514179\pi\) |
−0.623228 | + | 0.782040i | \(0.714179\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.271476 | − | 1.71403i | 0.00870313 | − | 0.0549494i | ||||
\(974\) | 21.6135 | + | 37.1902i | 0.692540 | + | 1.19165i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.85391 | − | 16.6263i | −0.315416 | − | 0.532196i | ||||
\(977\) | 6.40242 | + | 1.01404i | 0.204832 | + | 0.0324421i | 0.258007 | − | 0.966143i | \(-0.416934\pi\) |
−0.0531754 | + | 0.998585i | \(0.516934\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.9110 | − | 33.5805i | 0.348716 | − | 1.07324i | ||||
\(980\) | 12.2551 | − | 30.3129i | 0.391475 | − | 0.968311i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 10.6385 | + | 2.81808i | 0.339489 | + | 0.0899286i | ||||
\(983\) | 14.9685 | − | 29.3774i | 0.477422 | − | 0.936994i | −0.519183 | − | 0.854663i | \(-0.673764\pi\) |
0.996605 | − | 0.0823306i | \(-0.0262364\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −29.0504 | − | 22.1624i | −0.925624 | − | 0.706151i | ||||
\(986\) | −52.9102 | − | 23.3765i | −1.68501 | − | 0.744460i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 30.1398 | + | 11.3727i | 0.958873 | + | 0.361813i | ||||
\(989\) | −23.1538 | − | 31.8685i | −0.736248 | − | 1.01336i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.0778 | − | 26.2584i | 0.606027 | − | 0.834124i | −0.390216 | − | 0.920723i | \(-0.627600\pi\) |
0.996243 | + | 0.0865988i | \(0.0275998\pi\) | |||||||
\(992\) | 33.6205 | − | 22.5217i | 1.06745 | − | 0.715064i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 10.7235 | + | 9.60018i | 0.340127 | + | 0.304499i | ||||
\(995\) | −8.55105 | − | 17.7993i | −0.271087 | − | 0.564277i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.62660 | − | 1.33832i | 0.0831852 | − | 0.0423850i | −0.411903 | − | 0.911228i | \(-0.635136\pi\) |
0.495088 | + | 0.868843i | \(0.335136\pi\) | |||||||
\(998\) | 10.7772 | + | 27.8378i | 0.341145 | + | 0.881190i | ||||
\(999\) | 0 | 0 |
(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 | 900.2.bj.f.127.19 | 240 | ||
3.2 | odd | 2 | 300.2.w.a.127.12 | yes | 240 | ||
4.3 | odd | 2 | inner | 900.2.bj.f.127.22 | 240 | ||
12.11 | even | 2 | 300.2.w.a.127.9 | ✓ | 240 | ||
25.13 | odd | 20 | inner | 900.2.bj.f.163.22 | 240 | ||
75.38 | even | 20 | 300.2.w.a.163.9 | yes | 240 | ||
100.63 | even | 20 | inner | 900.2.bj.f.163.19 | 240 | ||
300.263 | odd | 20 | 300.2.w.a.163.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.9 | ✓ | 240 | 12.11 | even | 2 | ||
300.2.w.a.127.12 | yes | 240 | 3.2 | odd | 2 | ||
300.2.w.a.163.9 | yes | 240 | 75.38 | even | 20 | ||
300.2.w.a.163.12 | yes | 240 | 300.263 | odd | 20 | ||
900.2.bj.f.127.19 | 240 | 1.1 | even | 1 | trivial | ||
900.2.bj.f.127.22 | 240 | 4.3 | odd | 2 | inner | ||
900.2.bj.f.163.19 | 240 | 100.63 | even | 20 | inner | ||
900.2.bj.f.163.22 | 240 | 25.13 | odd | 20 | inner |