Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
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([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), 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: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} - 3 x^{18} + 66 x^{17} - 163 x^{16} - 52 x^{15} + 1567 x^{14} - 6182 x^{13} + 17043 x^{12} - 35832 x^{11} + 60906 x^{10} - 87666 x^{9} + 106197 x^{8} - 102542 x^{7} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 211.1 | ||
Root | \(-0.608732 - 1.33294i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.211 |
Dual form | 690.2.m.c.121.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | + | 0.909632i | 0.293743 | + | 0.643207i | ||||
\(3\) | 0.959493 | − | 0.281733i | 0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | + | 0.755750i | −0.327430 | + | 0.377875i | ||||
\(5\) | 0.841254 | + | 0.540641i | 0.376220 | + | 0.241782i | ||||
\(6\) | 0.654861 | + | 0.755750i | 0.267346 | + | 0.308533i | ||||
\(7\) | −0.668052 | − | 4.64640i | −0.252500 | − | 1.75618i | −0.583096 | − | 0.812404i | \(-0.698159\pi\) |
0.330596 | − | 0.943772i | \(-0.392750\pi\) | |||||||
\(8\) | −0.959493 | − | 0.281733i | −0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.142315 | + | 0.989821i | −0.0450039 | + | 0.313009i | ||||
\(11\) | 0.596110 | − | 1.30530i | 0.179734 | − | 0.393562i | −0.798225 | − | 0.602359i | \(-0.794228\pi\) |
0.977959 | + | 0.208797i | \(0.0669548\pi\) | |||||||
\(12\) | −0.415415 | + | 0.909632i | −0.119920 | + | 0.262588i | ||||
\(13\) | 0.659144 | − | 4.58445i | 0.182814 | − | 1.27150i | −0.667257 | − | 0.744828i | \(-0.732532\pi\) |
0.850070 | − | 0.526669i | \(-0.176559\pi\) | |||||||
\(14\) | 3.94900 | − | 2.53787i | 1.05541 | − | 0.678274i | ||||
\(15\) | 0.959493 | + | 0.281733i | 0.247740 | + | 0.0727430i | ||||
\(16\) | −0.142315 | − | 0.989821i | −0.0355787 | − | 0.247455i | ||||
\(17\) | 2.16545 | + | 2.49906i | 0.525198 | + | 0.606111i | 0.954925 | − | 0.296848i | \(-0.0959355\pi\) |
−0.429727 | + | 0.902959i | \(0.641390\pi\) | |||||||
\(18\) | 0.841254 | + | 0.540641i | 0.198285 | + | 0.127430i | ||||
\(19\) | 2.75889 | − | 3.18393i | 0.632932 | − | 0.730443i | −0.345176 | − | 0.938538i | \(-0.612181\pi\) |
0.978109 | + | 0.208095i | \(0.0667264\pi\) | |||||||
\(20\) | −0.959493 | + | 0.281733i | −0.214549 | + | 0.0629973i | ||||
\(21\) | −1.95003 | − | 4.26998i | −0.425533 | − | 0.931786i | ||||
\(22\) | 1.43497 | 0.305937 | ||||||||
\(23\) | −2.66976 | + | 3.98402i | −0.556683 | + | 0.830725i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.415415 | + | 0.909632i | 0.0830830 | + | 0.181926i | ||||
\(26\) | 4.44398 | − | 1.30487i | 0.871536 | − | 0.255906i | ||||
\(27\) | 0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | ||||
\(28\) | 3.94900 | + | 2.53787i | 0.746291 | + | 0.479612i | ||||
\(29\) | −2.01362 | − | 2.32384i | −0.373919 | − | 0.431526i | 0.537336 | − | 0.843368i | \(-0.319431\pi\) |
−0.911255 | + | 0.411843i | \(0.864885\pi\) | |||||||
\(30\) | 0.142315 | + | 0.989821i | 0.0259830 | + | 0.180716i | ||||
\(31\) | 9.43317 | + | 2.76983i | 1.69425 | + | 0.497476i | 0.979421 | − | 0.201826i | \(-0.0646876\pi\) |
0.714826 | + | 0.699302i | \(0.246506\pi\) | |||||||
\(32\) | 0.841254 | − | 0.540641i | 0.148714 | − | 0.0955727i | ||||
\(33\) | 0.204218 | − | 1.42037i | 0.0355498 | − | 0.247254i | ||||
\(34\) | −1.37367 | + | 3.00791i | −0.235582 | + | 0.515852i | ||||
\(35\) | 1.95003 | − | 4.26998i | 0.329616 | − | 0.721758i | ||||
\(36\) | −0.142315 | + | 0.989821i | −0.0237191 | + | 0.164970i | ||||
\(37\) | −9.64008 | + | 6.19530i | −1.58482 | + | 1.01850i | −0.610871 | + | 0.791730i | \(0.709181\pi\) |
−0.973948 | + | 0.226772i | \(0.927183\pi\) | |||||||
\(38\) | 4.04228 | + | 1.18692i | 0.655745 | + | 0.192544i | ||||
\(39\) | −0.659144 | − | 4.58445i | −0.105548 | − | 0.734099i | ||||
\(40\) | −0.654861 | − | 0.755750i | −0.103543 | − | 0.119494i | ||||
\(41\) | 2.56811 | + | 1.65043i | 0.401072 | + | 0.257753i | 0.725591 | − | 0.688126i | \(-0.241566\pi\) |
−0.324520 | + | 0.945879i | \(0.605203\pi\) | |||||||
\(42\) | 3.07404 | − | 3.54763i | 0.474334 | − | 0.547411i | ||||
\(43\) | −4.11868 | + | 1.20935i | −0.628092 | + | 0.184425i | −0.580261 | − | 0.814431i | \(-0.697049\pi\) |
−0.0478318 | + | 0.998855i | \(0.515231\pi\) | |||||||
\(44\) | 0.596110 | + | 1.30530i | 0.0898669 | + | 0.196781i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −4.73305 | − | 0.773476i | −0.697850 | − | 0.114043i | ||||
\(47\) | 0.295107 | 0.0430457 | 0.0215229 | − | 0.999768i | \(-0.493149\pi\) | ||||
0.0215229 | + | 0.999768i | \(0.493149\pi\) | |||||||
\(48\) | −0.415415 | − | 0.909632i | −0.0599600 | − | 0.131294i | ||||
\(49\) | −14.4263 | + | 4.23595i | −2.06090 | + | 0.605136i | ||||
\(50\) | −0.654861 | + | 0.755750i | −0.0926113 | + | 0.106879i | ||||
\(51\) | 2.78180 | + | 1.78775i | 0.389530 | + | 0.250336i | ||||
\(52\) | 3.03305 | + | 3.50032i | 0.420608 | + | 0.485407i | ||||
\(53\) | 1.91236 | + | 13.3007i | 0.262683 | + | 1.82700i | 0.512479 | + | 0.858700i | \(0.328727\pi\) |
−0.249796 | + | 0.968298i | \(0.580364\pi\) | |||||||
\(54\) | 0.959493 | + | 0.281733i | 0.130570 | + | 0.0383389i | ||||
\(55\) | 1.20718 | − | 0.775805i | 0.162776 | − | 0.104610i | ||||
\(56\) | −0.668052 | + | 4.64640i | −0.0892722 | + | 0.620902i | ||||
\(57\) | 1.75012 | − | 3.83222i | 0.231809 | − | 0.507590i | ||||
\(58\) | 1.27735 | − | 2.79701i | 0.167724 | − | 0.367265i | ||||
\(59\) | 2.09506 | − | 14.5715i | 0.272754 | − | 1.89705i | −0.146555 | − | 0.989203i | \(-0.546819\pi\) |
0.419309 | − | 0.907844i | \(-0.362272\pi\) | |||||||
\(60\) | −0.841254 | + | 0.540641i | −0.108605 | + | 0.0697964i | ||||
\(61\) | 8.12938 | + | 2.38700i | 1.04086 | + | 0.305624i | 0.757119 | − | 0.653277i | \(-0.226606\pi\) |
0.283741 | + | 0.958901i | \(0.408424\pi\) | |||||||
\(62\) | 1.39916 | + | 9.73134i | 0.177693 | + | 1.23588i | ||||
\(63\) | −3.07404 | − | 3.54763i | −0.387292 | − | 0.446959i | ||||
\(64\) | 0.841254 | + | 0.540641i | 0.105157 | + | 0.0675801i | ||||
\(65\) | 3.03305 | − | 3.50032i | 0.376203 | − | 0.434162i | ||||
\(66\) | 1.37685 | − | 0.404279i | 0.169478 | − | 0.0497633i | ||||
\(67\) | −4.93976 | − | 10.8166i | −0.603488 | − | 1.32145i | −0.926940 | − | 0.375209i | \(-0.877571\pi\) |
0.323453 | − | 0.946244i | \(-0.395156\pi\) | |||||||
\(68\) | −3.30673 | −0.401000 | ||||||||
\(69\) | −1.43919 | + | 4.57479i | −0.173258 | + | 0.550741i | ||||
\(70\) | 4.69418 | 0.561062 | ||||||||
\(71\) | 4.97324 | + | 10.8899i | 0.590215 | + | 1.29239i | 0.935312 | + | 0.353823i | \(0.115119\pi\) |
−0.345097 | + | 0.938567i | \(0.612154\pi\) | |||||||
\(72\) | −0.959493 | + | 0.281733i | −0.113077 | + | 0.0332025i | ||||
\(73\) | 5.60463 | − | 6.46809i | 0.655972 | − | 0.757033i | −0.326141 | − | 0.945321i | \(-0.605749\pi\) |
0.982114 | + | 0.188288i | \(0.0602940\pi\) | |||||||
\(74\) | −9.64008 | − | 6.19530i | −1.12064 | − | 0.720189i | ||||
\(75\) | 0.654861 | + | 0.755750i | 0.0756168 | + | 0.0872664i | ||||
\(76\) | 0.599564 | + | 4.17006i | 0.0687747 | + | 0.478338i | ||||
\(77\) | −6.46318 | − | 1.89776i | −0.736547 | − | 0.216270i | ||||
\(78\) | 3.89634 | − | 2.50403i | 0.441174 | − | 0.283525i | ||||
\(79\) | −1.95489 | + | 13.5966i | −0.219943 | + | 1.52974i | 0.518299 | + | 0.855200i | \(0.326566\pi\) |
−0.738242 | + | 0.674536i | \(0.764344\pi\) | |||||||
\(80\) | 0.415415 | − | 0.909632i | 0.0464448 | − | 0.101700i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −0.434447 | + | 3.02165i | −0.0479767 | + | 0.333685i | ||||
\(83\) | 7.86619 | − | 5.05530i | 0.863427 | − | 0.554891i | −0.0323087 | − | 0.999478i | \(-0.510286\pi\) |
0.895736 | + | 0.444587i | \(0.146650\pi\) | |||||||
\(84\) | 4.50404 | + | 1.32250i | 0.491431 | + | 0.144297i | ||||
\(85\) | 0.470597 | + | 3.27307i | 0.0510434 | + | 0.355015i | ||||
\(86\) | −2.81103 | − | 3.24410i | −0.303121 | − | 0.349820i | ||||
\(87\) | −2.58675 | − | 1.66240i | −0.277329 | − | 0.178228i | ||||
\(88\) | −0.939708 | + | 1.08448i | −0.100173 | + | 0.115606i | ||||
\(89\) | −5.33745 | + | 1.56722i | −0.565768 | + | 0.166125i | −0.552094 | − | 0.833782i | \(-0.686171\pi\) |
−0.0136745 | + | 0.999906i | \(0.504353\pi\) | |||||||
\(90\) | 0.415415 | + | 0.909632i | 0.0437886 | + | 0.0958836i | ||||
\(91\) | −21.7415 | −2.27913 | ||||||||
\(92\) | −1.26260 | − | 4.62664i | −0.131635 | − | 0.482361i | ||||
\(93\) | 9.83141 | 1.01947 | ||||||||
\(94\) | 0.122592 | + | 0.268439i | 0.0126444 | + | 0.0276873i | ||||
\(95\) | 4.04228 | − | 1.18692i | 0.414730 | − | 0.121776i | ||||
\(96\) | 0.654861 | − | 0.755750i | 0.0668364 | − | 0.0771334i | ||||
\(97\) | −8.67436 | − | 5.57468i | −0.880748 | − | 0.566023i | 0.0202745 | − | 0.999794i | \(-0.493546\pi\) |
−0.901023 | + | 0.433772i | \(0.857182\pi\) | |||||||
\(98\) | −9.84608 | − | 11.3630i | −0.994604 | − | 1.14783i | ||||
\(99\) | −0.204218 | − | 1.42037i | −0.0205247 | − | 0.142752i | ||||
\(100\) | −0.959493 | − | 0.281733i | −0.0959493 | − | 0.0281733i | ||||
\(101\) | −1.92412 | + | 1.23656i | −0.191457 | + | 0.123042i | −0.632858 | − | 0.774268i | \(-0.718118\pi\) |
0.441400 | + | 0.897310i | \(0.354482\pi\) | |||||||
\(102\) | −0.470597 | + | 3.27307i | −0.0465960 | + | 0.324082i | ||||
\(103\) | −0.0449425 | + | 0.0984103i | −0.00442831 | + | 0.00969665i | −0.911833 | − | 0.410561i | \(-0.865333\pi\) |
0.907405 | + | 0.420257i | \(0.138060\pi\) | |||||||
\(104\) | −1.92403 | + | 4.21304i | −0.188667 | + | 0.413123i | ||||
\(105\) | 0.668052 | − | 4.64640i | 0.0651952 | − | 0.453443i | ||||
\(106\) | −11.3044 | + | 7.26487i | −1.09798 | + | 0.705627i | ||||
\(107\) | 11.6565 | + | 3.42266i | 1.12688 | + | 0.330881i | 0.791479 | − | 0.611196i | \(-0.209311\pi\) |
0.335398 | + | 0.942077i | \(0.391129\pi\) | |||||||
\(108\) | 0.142315 | + | 0.989821i | 0.0136943 | + | 0.0952456i | ||||
\(109\) | −0.552043 | − | 0.637092i | −0.0528762 | − | 0.0610223i | 0.728695 | − | 0.684838i | \(-0.240127\pi\) |
−0.781572 | + | 0.623816i | \(0.785582\pi\) | |||||||
\(110\) | 1.20718 | + | 0.775805i | 0.115100 | + | 0.0739701i | ||||
\(111\) | −7.50417 | + | 8.66027i | −0.712264 | + | 0.821997i | ||||
\(112\) | −4.50404 | + | 1.32250i | −0.425592 | + | 0.124965i | ||||
\(113\) | −5.19756 | − | 11.3811i | −0.488945 | − | 1.07064i | −0.979906 | − | 0.199459i | \(-0.936082\pi\) |
0.490961 | − | 0.871182i | \(-0.336646\pi\) | |||||||
\(114\) | 4.21294 | 0.394578 | ||||||||
\(115\) | −4.39987 | + | 1.90819i | −0.410290 | + | 0.177940i | ||||
\(116\) | 3.07488 | 0.285495 | ||||||||
\(117\) | −1.92403 | − | 4.21304i | −0.177877 | − | 0.389496i | ||||
\(118\) | 14.1250 | − | 4.14748i | 1.30031 | − | 0.381806i | ||||
\(119\) | 10.1650 | − | 11.7310i | 0.931825 | − | 1.07538i | ||||
\(120\) | −0.841254 | − | 0.540641i | −0.0767956 | − | 0.0493535i | ||||
\(121\) | 5.85501 | + | 6.75704i | 0.532274 | + | 0.614277i | ||||
\(122\) | 1.20577 | + | 8.38634i | 0.109166 | + | 0.759264i | ||||
\(123\) | 2.92906 | + | 0.860051i | 0.264105 | + | 0.0775482i | ||||
\(124\) | −8.27071 | + | 5.31526i | −0.742732 | + | 0.477325i | ||||
\(125\) | −0.142315 | + | 0.989821i | −0.0127290 | + | 0.0885323i | ||||
\(126\) | 1.95003 | − | 4.26998i | 0.173723 | − | 0.380400i | ||||
\(127\) | −3.46102 | + | 7.57857i | −0.307116 | + | 0.672490i | −0.998762 | − | 0.0497469i | \(-0.984159\pi\) |
0.691646 | + | 0.722237i | \(0.256886\pi\) | |||||||
\(128\) | −0.142315 | + | 0.989821i | −0.0125790 | + | 0.0874887i | ||||
\(129\) | −3.61113 | + | 2.32073i | −0.317942 | + | 0.204329i | ||||
\(130\) | 4.44398 | + | 1.30487i | 0.389763 | + | 0.114445i | ||||
\(131\) | 2.23897 | + | 15.5724i | 0.195620 | + | 1.36056i | 0.816811 | + | 0.576906i | \(0.195740\pi\) |
−0.621191 | + | 0.783659i | \(0.713351\pi\) | |||||||
\(132\) | 0.939708 | + | 1.08448i | 0.0817911 | + | 0.0943919i | ||||
\(133\) | −16.6369 | − | 10.6919i | −1.44260 | − | 0.927104i | ||||
\(134\) | 7.78704 | − | 8.98673i | 0.672698 | − | 0.776335i | ||||
\(135\) | 0.959493 | − | 0.281733i | 0.0825800 | − | 0.0242477i | ||||
\(136\) | −1.37367 | − | 3.00791i | −0.117791 | − | 0.257926i | ||||
\(137\) | −4.08410 | −0.348928 | −0.174464 | − | 0.984664i | \(-0.555819\pi\) | ||||
−0.174464 | + | 0.984664i | \(0.555819\pi\) | |||||||
\(138\) | −4.75924 | + | 0.591308i | −0.405133 | + | 0.0503355i | ||||
\(139\) | −4.37740 | −0.371286 | −0.185643 | − | 0.982617i | \(-0.559437\pi\) | ||||
−0.185643 | + | 0.982617i | \(0.559437\pi\) | |||||||
\(140\) | 1.95003 | + | 4.26998i | 0.164808 | + | 0.360879i | ||||
\(141\) | 0.283153 | − | 0.0831412i | 0.0238458 | − | 0.00700175i | ||||
\(142\) | −7.83982 | + | 9.04763i | −0.657903 | + | 0.759261i | ||||
\(143\) | −5.59115 | − | 3.59321i | −0.467555 | − | 0.300480i | ||||
\(144\) | −0.654861 | − | 0.755750i | −0.0545717 | − | 0.0629791i | ||||
\(145\) | −0.437601 | − | 3.04358i | −0.0363407 | − | 0.252755i | ||||
\(146\) | 8.21183 | + | 2.41121i | 0.679616 | + | 0.199553i | ||||
\(147\) | −12.6486 | + | 8.12874i | −1.04324 | + | 0.670447i | ||||
\(148\) | 1.63081 | − | 11.3425i | 0.134052 | − | 0.932352i | ||||
\(149\) | −6.31785 | + | 13.8342i | −0.517579 | + | 1.13334i | 0.452769 | + | 0.891628i | \(0.350436\pi\) |
−0.970348 | + | 0.241712i | \(0.922291\pi\) | |||||||
\(150\) | −0.415415 | + | 0.909632i | −0.0339185 | + | 0.0742711i | ||||
\(151\) | 1.54818 | − | 10.7678i | 0.125989 | − | 0.876273i | −0.824577 | − | 0.565750i | \(-0.808587\pi\) |
0.950566 | − | 0.310523i | \(-0.100504\pi\) | |||||||
\(152\) | −3.54415 | + | 2.27769i | −0.287468 | + | 0.184745i | ||||
\(153\) | 3.17278 | + | 0.931613i | 0.256504 | + | 0.0753165i | ||||
\(154\) | −0.958637 | − | 6.66747i | −0.0772492 | − | 0.537280i | ||||
\(155\) | 6.43821 | + | 7.43009i | 0.517129 | + | 0.596799i | ||||
\(156\) | 3.89634 | + | 2.50403i | 0.311957 | + | 0.200483i | ||||
\(157\) | −10.2246 | + | 11.7998i | −0.816011 | + | 0.941727i | −0.999144 | − | 0.0413610i | \(-0.986831\pi\) |
0.183133 | + | 0.983088i | \(0.441376\pi\) | |||||||
\(158\) | −13.1800 | + | 3.86999i | −1.04854 | + | 0.307880i | ||||
\(159\) | 5.58215 | + | 12.2232i | 0.442693 | + | 0.969363i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 20.2949 | + | 9.74324i | 1.59946 | + | 0.767875i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 4.17031 | + | 9.13171i | 0.326644 | + | 0.715251i | 0.999704 | − | 0.0243373i | \(-0.00774756\pi\) |
−0.673060 | + | 0.739588i | \(0.735020\pi\) | |||||||
\(164\) | −2.92906 | + | 0.860051i | −0.228721 | + | 0.0671587i | ||||
\(165\) | 0.939708 | − | 1.08448i | 0.0731562 | − | 0.0844267i | ||||
\(166\) | 7.86619 | + | 5.05530i | 0.610535 | + | 0.392367i | ||||
\(167\) | −7.34209 | − | 8.47322i | −0.568148 | − | 0.655678i | 0.396866 | − | 0.917877i | \(-0.370098\pi\) |
−0.965014 | + | 0.262199i | \(0.915552\pi\) | |||||||
\(168\) | 0.668052 | + | 4.64640i | 0.0515413 | + | 0.358478i | ||||
\(169\) | −8.10929 | − | 2.38110i | −0.623791 | − | 0.183162i | ||||
\(170\) | −2.78180 | + | 1.78775i | −0.213354 | + | 0.137114i | ||||
\(171\) | 0.599564 | − | 4.17006i | 0.0458498 | − | 0.318892i | ||||
\(172\) | 1.78319 | − | 3.90465i | 0.135967 | − | 0.297726i | ||||
\(173\) | 4.37809 | − | 9.58667i | 0.332860 | − | 0.728861i | −0.667009 | − | 0.745050i | \(-0.732426\pi\) |
0.999869 | + | 0.0161882i | \(0.00515308\pi\) | |||||||
\(174\) | 0.437601 | − | 3.04358i | 0.0331744 | − | 0.230733i | ||||
\(175\) | 3.94900 | − | 2.53787i | 0.298516 | − | 0.191845i | ||||
\(176\) | −1.37685 | − | 0.404279i | −0.103784 | − | 0.0304737i | ||||
\(177\) | −2.09506 | − | 14.5715i | −0.157475 | − | 1.09526i | ||||
\(178\) | −3.64285 | − | 4.20407i | −0.273043 | − | 0.315108i | ||||
\(179\) | 11.5446 | + | 7.41928i | 0.862886 | + | 0.554543i | 0.895569 | − | 0.444923i | \(-0.146769\pi\) |
−0.0326832 | + | 0.999466i | \(0.510405\pi\) | |||||||
\(180\) | −0.654861 | + | 0.755750i | −0.0488104 | + | 0.0563302i | ||||
\(181\) | −6.07936 | + | 1.78506i | −0.451875 | + | 0.132683i | −0.499748 | − | 0.866171i | \(-0.666574\pi\) |
0.0478725 | + | 0.998853i | \(0.484756\pi\) | |||||||
\(182\) | −9.03176 | − | 19.7768i | −0.669479 | − | 1.46595i | ||||
\(183\) | 8.47258 | 0.626311 | ||||||||
\(184\) | 3.68404 | − | 3.07048i | 0.271591 | − | 0.226359i | ||||
\(185\) | −11.4592 | −0.842496 | ||||||||
\(186\) | 4.08412 | + | 8.94297i | 0.299462 | + | 0.655730i | ||||
\(187\) | 4.55286 | − | 1.33684i | 0.332938 | − | 0.0977595i | ||||
\(188\) | −0.193254 | + | 0.223027i | −0.0140945 | + | 0.0162659i | ||||
\(189\) | −3.94900 | − | 2.53787i | −0.287247 | − | 0.184603i | ||||
\(190\) | 2.75889 | + | 3.18393i | 0.200151 | + | 0.230986i | ||||
\(191\) | −1.84961 | − | 12.8643i | −0.133833 | − | 0.930830i | −0.940493 | − | 0.339814i | \(-0.889636\pi\) |
0.806660 | − | 0.591016i | \(-0.201273\pi\) | |||||||
\(192\) | 0.959493 | + | 0.281733i | 0.0692454 | + | 0.0203323i | ||||
\(193\) | −7.52332 | + | 4.83494i | −0.541541 | + | 0.348027i | −0.782641 | − | 0.622473i | \(-0.786128\pi\) |
0.241101 | + | 0.970500i | \(0.422492\pi\) | |||||||
\(194\) | 1.46744 | − | 10.2063i | 0.105356 | − | 0.732768i | ||||
\(195\) | 1.92403 | − | 4.21304i | 0.137783 | − | 0.301702i | ||||
\(196\) | 6.24592 | − | 13.6767i | 0.446137 | − | 0.976904i | ||||
\(197\) | 1.51397 | − | 10.5299i | 0.107866 | − | 0.750222i | −0.862057 | − | 0.506811i | \(-0.830824\pi\) |
0.969923 | − | 0.243412i | \(-0.0782665\pi\) | |||||||
\(198\) | 1.20718 | − | 0.775805i | 0.0857903 | − | 0.0551341i | ||||
\(199\) | −24.3900 | − | 7.16156i | −1.72896 | − | 0.507670i | −0.742248 | − | 0.670125i | \(-0.766241\pi\) |
−0.986716 | + | 0.162455i | \(0.948059\pi\) | |||||||
\(200\) | −0.142315 | − | 0.989821i | −0.0100632 | − | 0.0699909i | ||||
\(201\) | −7.78704 | − | 8.98673i | −0.549256 | − | 0.633875i | ||||
\(202\) | −1.92412 | − | 1.23656i | −0.135381 | − | 0.0870039i | ||||
\(203\) | −9.45228 | + | 10.9085i | −0.663420 | + | 0.765628i | ||||
\(204\) | −3.17278 | + | 0.931613i | −0.222139 | + | 0.0652260i | ||||
\(205\) | 1.26815 | + | 2.77685i | 0.0885712 | + | 0.193944i | ||||
\(206\) | −0.108187 | −0.00753774 | ||||||||
\(207\) | −0.0920206 | + | 4.79495i | −0.00639587 | + | 0.333272i | ||||
\(208\) | −4.63159 | −0.321143 | ||||||||
\(209\) | −2.51137 | − | 5.49914i | −0.173715 | − | 0.380383i | ||||
\(210\) | 4.50404 | − | 1.32250i | 0.310808 | − | 0.0912615i | ||||
\(211\) | 2.56520 | − | 2.96040i | 0.176596 | − | 0.203803i | −0.660550 | − | 0.750782i | \(-0.729677\pi\) |
0.837146 | + | 0.546979i | \(0.184222\pi\) | |||||||
\(212\) | −11.3044 | − | 7.26487i | −0.776387 | − | 0.498954i | ||||
\(213\) | 7.83982 | + | 9.04763i | 0.537176 | + | 0.619934i | ||||
\(214\) | 1.72893 | + | 12.0250i | 0.118187 | + | 0.822009i | ||||
\(215\) | −4.11868 | − | 1.20935i | −0.280891 | − | 0.0824772i | ||||
\(216\) | −0.841254 | + | 0.540641i | −0.0572401 | + | 0.0367859i | ||||
\(217\) | 6.56790 | − | 45.6807i | 0.445858 | − | 3.10101i | ||||
\(218\) | 0.350192 | − | 0.766814i | 0.0237180 | − | 0.0519352i | ||||
\(219\) | 3.55533 | − | 7.78509i | 0.240247 | − | 0.526068i | ||||
\(220\) | −0.204218 | + | 1.42037i | −0.0137684 | + | 0.0957612i | ||||
\(221\) | 12.8842 | − | 8.28014i | 0.866682 | − | 0.556983i | ||||
\(222\) | −10.9950 | − | 3.22843i | −0.737937 | − | 0.216678i | ||||
\(223\) | 2.27890 | + | 15.8501i | 0.152606 | + | 1.06140i | 0.911829 | + | 0.410569i | \(0.134670\pi\) |
−0.759223 | + | 0.650831i | \(0.774421\pi\) | |||||||
\(224\) | −3.07404 | − | 3.54763i | −0.205393 | − | 0.237036i | ||||
\(225\) | 0.841254 | + | 0.540641i | 0.0560836 | + | 0.0360427i | ||||
\(226\) | 8.19344 | − | 9.45573i | 0.545019 | − | 0.628986i | ||||
\(227\) | 9.45746 | − | 2.77696i | 0.627714 | − | 0.184313i | 0.0476231 | − | 0.998865i | \(-0.484835\pi\) |
0.580090 | + | 0.814552i | \(0.303017\pi\) | |||||||
\(228\) | 1.75012 | + | 3.83222i | 0.115904 | + | 0.253795i | ||||
\(229\) | 9.28423 | 0.613519 | 0.306760 | − | 0.951787i | \(-0.400755\pi\) | ||||
0.306760 | + | 0.951787i | \(0.400755\pi\) | |||||||
\(230\) | −3.56352 | − | 3.20957i | −0.234972 | − | 0.211633i | ||||
\(231\) | −6.73603 | −0.443198 | ||||||||
\(232\) | 1.27735 | + | 2.79701i | 0.0838621 | + | 0.183632i | ||||
\(233\) | −22.5586 | + | 6.62380i | −1.47786 | + | 0.433940i | −0.918646 | − | 0.395082i | \(-0.870716\pi\) |
−0.559217 | + | 0.829021i | \(0.688898\pi\) | |||||||
\(234\) | 3.03305 | − | 3.50032i | 0.198277 | − | 0.228823i | ||||
\(235\) | 0.248260 | + | 0.159547i | 0.0161947 | + | 0.0104077i | ||||
\(236\) | 9.64042 | + | 11.1256i | 0.627538 | + | 0.724217i | ||||
\(237\) | 1.95489 | + | 13.5966i | 0.126984 | + | 0.883194i | ||||
\(238\) | 14.8936 | + | 4.37317i | 0.965411 | + | 0.283470i | ||||
\(239\) | 2.07543 | − | 1.33380i | 0.134248 | − | 0.0862762i | −0.471793 | − | 0.881709i | \(-0.656393\pi\) |
0.606041 | + | 0.795433i | \(0.292757\pi\) | |||||||
\(240\) | 0.142315 | − | 0.989821i | 0.00918638 | − | 0.0638927i | ||||
\(241\) | −2.77875 | + | 6.08462i | −0.178995 | + | 0.391945i | −0.977769 | − | 0.209687i | \(-0.932755\pi\) |
0.798773 | + | 0.601632i | \(0.205483\pi\) | |||||||
\(242\) | −3.71416 | + | 8.13288i | −0.238755 | + | 0.522802i | ||||
\(243\) | 0.142315 | − | 0.989821i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | −7.12759 | + | 4.58062i | −0.456297 | + | 0.293244i | ||||
\(245\) | −14.4263 | − | 4.23595i | −0.921665 | − | 0.270625i | ||||
\(246\) | 0.434447 | + | 3.02165i | 0.0276994 | + | 0.192653i | ||||
\(247\) | −12.7780 | − | 14.7466i | −0.813047 | − | 0.938306i | ||||
\(248\) | −8.27071 | − | 5.31526i | −0.525191 | − | 0.337520i | ||||
\(249\) | 6.12332 | − | 7.06668i | 0.388049 | − | 0.447833i | ||||
\(250\) | −0.959493 | + | 0.281733i | −0.0606837 | + | 0.0178183i | ||||
\(251\) | −4.02365 | − | 8.81056i | −0.253970 | − | 0.556118i | 0.739106 | − | 0.673589i | \(-0.235248\pi\) |
−0.993076 | + | 0.117472i | \(0.962521\pi\) | |||||||
\(252\) | 4.69418 | 0.295706 | ||||||||
\(253\) | 3.60886 | + | 5.85974i | 0.226887 | + | 0.368399i | ||||
\(254\) | −8.33147 | −0.522763 | ||||||||
\(255\) | 1.37367 | + | 3.00791i | 0.0860223 | + | 0.188362i | ||||
\(256\) | −0.959493 | + | 0.281733i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −0.979816 | + | 1.13077i | −0.0611192 | + | 0.0705354i | −0.785486 | − | 0.618880i | \(-0.787587\pi\) |
0.724367 | + | 0.689415i | \(0.242132\pi\) | |||||||
\(258\) | −3.61113 | − | 2.32073i | −0.224819 | − | 0.144482i | ||||
\(259\) | 35.2260 | + | 40.6529i | 2.18883 | + | 2.52605i | ||||
\(260\) | 0.659144 | + | 4.58445i | 0.0408784 | + | 0.284315i | ||||
\(261\) | −2.95032 | − | 0.866293i | −0.182620 | − | 0.0536222i | ||||
\(262\) | −13.2350 | + | 8.50564i | −0.817663 | + | 0.525480i | ||||
\(263\) | −2.76936 | + | 19.2614i | −0.170766 | + | 1.18771i | 0.706504 | + | 0.707709i | \(0.250271\pi\) |
−0.877270 | + | 0.479997i | \(0.840638\pi\) | |||||||
\(264\) | −0.596110 | + | 1.30530i | −0.0366880 | + | 0.0803355i | ||||
\(265\) | −5.58215 | + | 12.2232i | −0.342909 | + | 0.750865i | ||||
\(266\) | 2.81446 | − | 19.5750i | 0.172566 | − | 1.20022i | ||||
\(267\) | −4.67971 | + | 3.00747i | −0.286394 | + | 0.184054i | ||||
\(268\) | 11.4095 | + | 3.35012i | 0.696944 | + | 0.204641i | ||||
\(269\) | 4.63641 | + | 32.2469i | 0.282687 | + | 1.96613i | 0.256799 | + | 0.966465i | \(0.417332\pi\) |
0.0258878 | + | 0.999665i | \(0.491759\pi\) | |||||||
\(270\) | 0.654861 | + | 0.755750i | 0.0398536 | + | 0.0459935i | ||||
\(271\) | 18.9683 | + | 12.1902i | 1.15224 | + | 0.740501i | 0.970084 | − | 0.242769i | \(-0.0780556\pi\) |
0.182157 | + | 0.983269i | \(0.441692\pi\) | |||||||
\(272\) | 2.16545 | − | 2.49906i | 0.131300 | − | 0.151528i | ||||
\(273\) | −20.8609 | + | 6.12530i | −1.26256 | + | 0.370720i | ||||
\(274\) | −1.69659 | − | 3.71502i | −0.102495 | − | 0.224433i | ||||
\(275\) | 1.43497 | 0.0865322 | ||||||||
\(276\) | −2.51493 | − | 4.08352i | −0.151381 | − | 0.245799i | ||||
\(277\) | 12.6591 | 0.760612 | 0.380306 | − | 0.924861i | \(-0.375819\pi\) | ||||
0.380306 | + | 0.924861i | \(0.375819\pi\) | |||||||
\(278\) | −1.81844 | − | 3.98182i | −0.109063 | − | 0.238814i | ||||
\(279\) | 9.43317 | − | 2.76983i | 0.564749 | − | 0.165825i | ||||
\(280\) | −3.07404 | + | 3.54763i | −0.183709 | + | 0.212011i | ||||
\(281\) | 7.70029 | + | 4.94867i | 0.459361 | + | 0.295213i | 0.749781 | − | 0.661686i | \(-0.230159\pi\) |
−0.290420 | + | 0.956899i | \(0.593795\pi\) | |||||||
\(282\) | 0.193254 | + | 0.223027i | 0.0115081 | + | 0.0132811i | ||||
\(283\) | 0.403864 | + | 2.80894i | 0.0240072 | + | 0.166974i | 0.998298 | − | 0.0583208i | \(-0.0185746\pi\) |
−0.974291 | + | 0.225295i | \(0.927666\pi\) | |||||||
\(284\) | −11.4868 | − | 3.37283i | −0.681616 | − | 0.200141i | ||||
\(285\) | 3.54415 | − | 2.27769i | 0.209937 | − | 0.134918i | ||||
\(286\) | 0.945855 | − | 6.57856i | 0.0559296 | − | 0.388999i | ||||
\(287\) | 5.95291 | − | 13.0351i | 0.351389 | − | 0.769435i | ||||
\(288\) | 0.415415 | − | 0.909632i | 0.0244786 | − | 0.0536006i | ||||
\(289\) | 0.863216 | − | 6.00380i | 0.0507774 | − | 0.353165i | ||||
\(290\) | 2.58675 | − | 1.66240i | 0.151899 | − | 0.0976197i | ||||
\(291\) | −9.89356 | − | 2.90501i | −0.579971 | − | 0.170295i | ||||
\(292\) | 1.21800 | + | 8.47140i | 0.0712782 | + | 0.495751i | ||||
\(293\) | −7.91301 | − | 9.13210i | −0.462283 | − | 0.533503i | 0.475966 | − | 0.879464i | \(-0.342098\pi\) |
−0.938249 | + | 0.345961i | \(0.887553\pi\) | |||||||
\(294\) | −12.6486 | − | 8.12874i | −0.737679 | − | 0.474078i | ||||
\(295\) | 9.64042 | − | 11.1256i | 0.561287 | − | 0.647760i | ||||
\(296\) | 10.9950 | − | 3.22843i | 0.639072 | − | 0.187648i | ||||
\(297\) | −0.596110 | − | 1.30530i | −0.0345898 | − | 0.0757411i | ||||
\(298\) | −15.2085 | −0.881007 | ||||||||
\(299\) | 16.5048 | + | 14.8654i | 0.954495 | + | 0.859689i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 8.37063 | + | 18.3291i | 0.482475 | + | 1.05647i | ||||
\(302\) | 10.4379 | − | 3.06484i | 0.600633 | − | 0.176362i | ||||
\(303\) | −1.49780 | + | 1.72856i | −0.0860465 | + | 0.0993030i | ||||
\(304\) | −3.54415 | − | 2.27769i | −0.203271 | − | 0.130634i | ||||
\(305\) | 5.54836 | + | 6.40315i | 0.317698 | + | 0.366643i | ||||
\(306\) | 0.470597 | + | 3.27307i | 0.0269022 | + | 0.187109i | ||||
\(307\) | 6.16998 | + | 1.81167i | 0.352140 | + | 0.103398i | 0.453018 | − | 0.891501i | \(-0.350347\pi\) |
−0.100879 | + | 0.994899i | \(0.532165\pi\) | |||||||
\(308\) | 5.66671 | − | 3.64177i | 0.322891 | − | 0.207509i | ||||
\(309\) | −0.0153966 | + | 0.107086i | −0.000875882 | + | 0.00609189i | ||||
\(310\) | −4.08412 | + | 8.94297i | −0.231962 | + | 0.507926i | ||||
\(311\) | 2.22162 | − | 4.86466i | 0.125976 | − | 0.275850i | −0.836126 | − | 0.548537i | \(-0.815185\pi\) |
0.962103 | + | 0.272687i | \(0.0879124\pi\) | |||||||
\(312\) | −0.659144 | + | 4.58445i | −0.0373167 | + | 0.259543i | ||||
\(313\) | 19.8143 | − | 12.7339i | 1.11997 | − | 0.719763i | 0.156529 | − | 0.987673i | \(-0.449970\pi\) |
0.963444 | + | 0.267911i | \(0.0863332\pi\) | |||||||
\(314\) | −14.9809 | − | 4.39880i | −0.845423 | − | 0.248239i | ||||
\(315\) | −0.668052 | − | 4.64640i | −0.0376405 | − | 0.261795i | ||||
\(316\) | −8.99543 | − | 10.3813i | −0.506033 | − | 0.583993i | ||||
\(317\) | −9.76031 | − | 6.27257i | −0.548194 | − | 0.352303i | 0.237042 | − | 0.971499i | \(-0.423822\pi\) |
−0.785236 | + | 0.619197i | \(0.787458\pi\) | |||||||
\(318\) | −8.79971 | + | 10.1554i | −0.493463 | + | 0.569487i | ||||
\(319\) | −4.23363 | + | 1.24311i | −0.237038 | + | 0.0696007i | ||||
\(320\) | 0.415415 | + | 0.909632i | 0.0232224 | + | 0.0508500i | ||||
\(321\) | 12.1486 | 0.678069 | ||||||||
\(322\) | −0.431961 | + | 22.5084i | −0.0240723 | + | 1.25434i | ||||
\(323\) | 13.9310 | 0.775144 | ||||||||
\(324\) | 0.415415 | + | 0.909632i | 0.0230786 | + | 0.0505351i | ||||
\(325\) | 4.44398 | − | 1.30487i | 0.246508 | − | 0.0723812i | ||||
\(326\) | −6.57409 | + | 7.58690i | −0.364105 | + | 0.420200i | ||||
\(327\) | −0.709171 | − | 0.455757i | −0.0392173 | − | 0.0252034i | ||||
\(328\) | −1.99911 | − | 2.30709i | −0.110382 | − | 0.127388i | ||||
\(329\) | −0.197147 | − | 1.37119i | −0.0108690 | − | 0.0755959i | ||||
\(330\) | 1.37685 | + | 0.404279i | 0.0757929 | + | 0.0222548i | ||||
\(331\) | 16.6020 | − | 10.6695i | 0.912529 | − | 0.586447i | 0.00204816 | − | 0.999998i | \(-0.499348\pi\) |
0.910481 | + | 0.413551i | \(0.135712\pi\) | |||||||
\(332\) | −1.33072 | + | 9.25539i | −0.0730329 | + | 0.507955i | ||||
\(333\) | −4.76032 | + | 10.4236i | −0.260864 | + | 0.571212i | ||||
\(334\) | 4.65750 | − | 10.1985i | 0.254847 | − | 0.558037i | ||||
\(335\) | 1.69229 | − | 11.7701i | 0.0924595 | − | 0.643070i | ||||
\(336\) | −3.94900 | + | 2.53787i | −0.215436 | + | 0.138452i | ||||
\(337\) | −4.79352 | − | 1.40750i | −0.261120 | − | 0.0766717i | 0.148552 | − | 0.988905i | \(-0.452539\pi\) |
−0.409672 | + | 0.912233i | \(0.634357\pi\) | |||||||
\(338\) | −1.20279 | − | 8.36561i | −0.0654233 | − | 0.455029i | ||||
\(339\) | −8.19344 | − | 9.45573i | −0.445006 | − | 0.513565i | ||||
\(340\) | −2.78180 | − | 1.78775i | −0.150864 | − | 0.0969545i | ||||
\(341\) | 9.23866 | − | 10.6620i | 0.500301 | − | 0.577379i | ||||
\(342\) | 4.04228 | − | 1.18692i | 0.218582 | − | 0.0641814i | ||||
\(343\) | 15.6693 | + | 34.3109i | 0.846060 | + | 1.85261i | ||||
\(344\) | 4.29256 | 0.231439 | ||||||||
\(345\) | −3.68404 | + | 3.07048i | −0.198342 | + | 0.165309i | ||||
\(346\) | 10.5391 | 0.566584 | ||||||||
\(347\) | 7.10506 | + | 15.5579i | 0.381419 | + | 0.835192i | 0.998821 | + | 0.0485439i | \(0.0154581\pi\) |
−0.617402 | + | 0.786648i | \(0.711815\pi\) | |||||||
\(348\) | 2.95032 | − | 0.866293i | 0.158154 | − | 0.0464382i | ||||
\(349\) | 6.22054 | − | 7.17889i | 0.332978 | − | 0.384277i | −0.564428 | − | 0.825482i | \(-0.690903\pi\) |
0.897406 | + | 0.441205i | \(0.145449\pi\) | |||||||
\(350\) | 3.94900 | + | 2.53787i | 0.211083 | + | 0.135655i | ||||
\(351\) | −3.03305 | − | 3.50032i | −0.161892 | − | 0.186833i | ||||
\(352\) | −0.204218 | − | 1.42037i | −0.0108849 | − | 0.0757059i | ||||
\(353\) | −4.17976 | − | 1.22729i | −0.222466 | − | 0.0653220i | 0.168600 | − | 0.985685i | \(-0.446075\pi\) |
−0.391066 | + | 0.920363i | \(0.627894\pi\) | |||||||
\(354\) | 12.3844 | − | 7.95895i | 0.658222 | − | 0.423013i | ||||
\(355\) | −1.70376 | + | 11.8499i | −0.0904260 | + | 0.628926i | ||||
\(356\) | 2.31086 | − | 5.06008i | 0.122475 | − | 0.268184i | ||||
\(357\) | 6.44824 | − | 14.1197i | 0.341277 | − | 0.747292i | ||||
\(358\) | −1.95300 | + | 13.5834i | −0.103219 | + | 0.717907i | ||||
\(359\) | −11.3677 | + | 7.30559i | −0.599965 | + | 0.385574i | −0.805082 | − | 0.593163i | \(-0.797879\pi\) |
0.205117 | + | 0.978737i | \(0.434243\pi\) | |||||||
\(360\) | −0.959493 | − | 0.281733i | −0.0505697 | − | 0.0148486i | ||||
\(361\) | 0.178058 | + | 1.23842i | 0.00937148 | + | 0.0651800i | ||||
\(362\) | −4.14921 | − | 4.78844i | −0.218078 | − | 0.251675i | ||||
\(363\) | 7.52152 | + | 4.83379i | 0.394778 | + | 0.253708i | ||||
\(364\) | 14.2377 | − | 16.4312i | 0.746257 | − | 0.861227i | ||||
\(365\) | 8.21183 | − | 2.41121i | 0.429827 | − | 0.126209i | ||||
\(366\) | 3.51964 | + | 7.70693i | 0.183974 | + | 0.402848i | ||||
\(367\) | 21.8299 | 1.13951 | 0.569755 | − | 0.821814i | \(-0.307038\pi\) | ||||
0.569755 | + | 0.821814i | \(0.307038\pi\) | |||||||
\(368\) | 4.32341 | + | 2.07560i | 0.225373 | + | 0.108198i | ||||
\(369\) | 3.05272 | 0.158918 | ||||||||
\(370\) | −4.76032 | − | 10.4236i | −0.247477 | − | 0.541899i | ||||
\(371\) | 60.5231 | − | 17.7712i | 3.14220 | − | 0.922634i | ||||
\(372\) | −6.43821 | + | 7.43009i | −0.333805 | + | 0.385232i | ||||
\(373\) | 4.98037 | + | 3.20069i | 0.257874 | + | 0.165725i | 0.663190 | − | 0.748451i | \(-0.269202\pi\) |
−0.405316 | + | 0.914177i | \(0.632839\pi\) | |||||||
\(374\) | 3.10736 | + | 3.58608i | 0.160678 | + | 0.185432i | ||||
\(375\) | 0.142315 | + | 0.989821i | 0.00734911 | + | 0.0511142i | ||||
\(376\) | −0.283153 | − | 0.0831412i | −0.0146025 | − | 0.00428768i | ||||
\(377\) | −11.9808 | + | 7.69957i | −0.617041 | + | 0.396548i | ||||
\(378\) | 0.668052 | − | 4.64640i | 0.0343609 | − | 0.238985i | ||||
\(379\) | 5.57525 | − | 12.2081i | 0.286381 | − | 0.627087i | −0.710695 | − | 0.703500i | \(-0.751619\pi\) |
0.997076 | + | 0.0764129i | \(0.0243467\pi\) | |||||||
\(380\) | −1.75012 | + | 3.83222i | −0.0897791 | + | 0.196589i | ||||
\(381\) | −1.18569 | + | 8.24667i | −0.0607448 | + | 0.422490i | ||||
\(382\) | 10.9334 | − | 7.02650i | 0.559404 | − | 0.359507i | ||||
\(383\) | 19.6524 | + | 5.77045i | 1.00419 | + | 0.294856i | 0.742174 | − | 0.670207i | \(-0.233795\pi\) |
0.262015 | + | 0.965064i | \(0.415613\pi\) | |||||||
\(384\) | 0.142315 | + | 0.989821i | 0.00726247 | + | 0.0505116i | ||||
\(385\) | −4.41116 | − | 5.09075i | −0.224814 | − | 0.259449i | ||||
\(386\) | −7.52332 | − | 4.83494i | −0.382927 | − | 0.246092i | ||||
\(387\) | −2.81103 | + | 3.24410i | −0.142892 | + | 0.164907i | ||||
\(388\) | 9.89356 | − | 2.90501i | 0.502269 | − | 0.147480i | ||||
\(389\) | 5.13476 | + | 11.2435i | 0.260343 | + | 0.570071i | 0.993991 | − | 0.109458i | \(-0.0349116\pi\) |
−0.733649 | + | 0.679529i | \(0.762184\pi\) | |||||||
\(390\) | 4.63159 | 0.234530 | ||||||||
\(391\) | −15.7375 | + | 1.95530i | −0.795880 | + | 0.0988836i | ||||
\(392\) | 15.0354 | 0.759401 | ||||||||
\(393\) | 6.53552 | + | 14.3108i | 0.329673 | + | 0.721884i | ||||
\(394\) | 10.2072 | − | 2.99711i | 0.514233 | − | 0.150992i | ||||
\(395\) | −8.99543 | + | 10.3813i | −0.452609 | + | 0.522339i | ||||
\(396\) | 1.20718 | + | 0.775805i | 0.0606629 | + | 0.0389857i | ||||
\(397\) | −2.77121 | − | 3.19814i | −0.139083 | − | 0.160510i | 0.681935 | − | 0.731413i | \(-0.261139\pi\) |
−0.821018 | + | 0.570903i | \(0.806593\pi\) | |||||||
\(398\) | −3.61760 | − | 25.1610i | −0.181334 | − | 1.26121i | ||||
\(399\) | −18.9752 | − | 5.57163i | −0.949950 | − | 0.278930i | ||||
\(400\) | 0.841254 | − | 0.540641i | 0.0420627 | − | 0.0270320i | ||||
\(401\) | −4.12020 | + | 28.6566i | −0.205753 | + | 1.43104i | 0.581064 | + | 0.813858i | \(0.302636\pi\) |
−0.786817 | + | 0.617186i | \(0.788273\pi\) | |||||||
\(402\) | 4.93976 | − | 10.8166i | 0.246373 | − | 0.539481i | ||||
\(403\) | 18.9160 | − | 41.4202i | 0.942271 | − | 2.06329i | ||||
\(404\) | 0.325504 | − | 2.26393i | 0.0161944 | − | 0.112635i | ||||
\(405\) | 0.841254 | − | 0.540641i | 0.0418022 | − | 0.0268647i | ||||
\(406\) | −13.8494 | − | 4.06654i | −0.687332 | − | 0.201819i | ||||
\(407\) | 2.34017 | + | 16.2763i | 0.115998 | + | 0.806784i | ||||
\(408\) | −2.16545 | − | 2.49906i | −0.107206 | − | 0.123722i | ||||
\(409\) | 10.7850 | + | 6.93110i | 0.533284 | + | 0.342721i | 0.779407 | − | 0.626518i | \(-0.215520\pi\) |
−0.246123 | + | 0.969239i | \(0.579157\pi\) | |||||||
\(410\) | −1.99911 | + | 2.30709i | −0.0987289 | + | 0.113939i | ||||
\(411\) | −3.91866 | + | 1.15062i | −0.193293 | + | 0.0567560i | ||||
\(412\) | −0.0449425 | − | 0.0984103i | −0.00221416 | − | 0.00484833i | ||||
\(413\) | −69.1046 | −3.40042 | ||||||||
\(414\) | −4.39987 | + | 1.90819i | −0.216242 | + | 0.0937824i | ||||
\(415\) | 9.35056 | 0.459001 | ||||||||
\(416\) | −1.92403 | − | 4.21304i | −0.0943335 | − | 0.206561i | ||||
\(417\) | −4.20008 | + | 1.23326i | −0.205679 | + | 0.0603928i | ||||
\(418\) | 3.95893 | − | 4.56885i | 0.193638 | − | 0.223470i | ||||
\(419\) | −1.99134 | − | 1.27976i | −0.0972835 | − | 0.0625203i | 0.491095 | − | 0.871106i | \(-0.336597\pi\) |
−0.588378 | + | 0.808586i | \(0.700233\pi\) | |||||||
\(420\) | 3.07404 | + | 3.54763i | 0.149998 | + | 0.173107i | ||||
\(421\) | −3.47036 | − | 24.1369i | −0.169135 | − | 1.17636i | −0.880677 | − | 0.473717i | \(-0.842912\pi\) |
0.711542 | − | 0.702644i | \(-0.247997\pi\) | |||||||
\(422\) | 3.75850 | + | 1.10360i | 0.182961 | + | 0.0537222i | ||||
\(423\) | 0.248260 | − | 0.159547i | 0.0120708 | − | 0.00775743i | ||||
\(424\) | 1.91236 | − | 13.3007i | 0.0928724 | − | 0.645941i | ||||
\(425\) | −1.37367 | + | 3.00791i | −0.0666325 | + | 0.145905i | ||||
\(426\) | −4.97324 | + | 10.8899i | −0.240954 | + | 0.527616i | ||||
\(427\) | 5.66013 | − | 39.3670i | 0.273913 | − | 1.90510i | ||||
\(428\) | −10.2201 | + | 6.56803i | −0.494005 | + | 0.317478i | ||||
\(429\) | −6.37699 | − | 1.87245i | −0.307884 | − | 0.0904029i | ||||
\(430\) | −0.610894 | − | 4.24886i | −0.0294599 | − | 0.204898i | ||||
\(431\) | −6.14310 | − | 7.08952i | −0.295903 | − | 0.341490i | 0.588258 | − | 0.808674i | \(-0.299814\pi\) |
−0.884160 | + | 0.467184i | \(0.845269\pi\) | |||||||
\(432\) | −0.841254 | − | 0.540641i | −0.0404748 | − | 0.0260116i | ||||
\(433\) | 8.42055 | − | 9.71783i | 0.404666 | − | 0.467009i | −0.516439 | − | 0.856324i | \(-0.672743\pi\) |
0.921105 | + | 0.389315i | \(0.127288\pi\) | |||||||
\(434\) | 44.2811 | − | 13.0021i | 2.12556 | − | 0.624120i | ||||
\(435\) | −1.27735 | − | 2.79701i | −0.0612442 | − | 0.134106i | ||||
\(436\) | 0.842993 | 0.0403721 | ||||||||
\(437\) | 5.31926 | + | 19.4918i | 0.254454 | + | 0.932418i | ||||
\(438\) | 8.55851 | 0.408941 | ||||||||
\(439\) | −3.53332 | − | 7.73689i | −0.168636 | − | 0.369261i | 0.806379 | − | 0.591399i | \(-0.201424\pi\) |
−0.975015 | + | 0.222137i | \(0.928697\pi\) | |||||||
\(440\) | −1.37685 | + | 0.404279i | −0.0656386 | + | 0.0192732i | ||||
\(441\) | −9.84608 | + | 11.3630i | −0.468861 | + | 0.541094i | ||||
\(442\) | 12.8842 | + | 8.28014i | 0.612837 | + | 0.393846i | ||||
\(443\) | −5.05439 | − | 5.83307i | −0.240141 | − | 0.277138i | 0.622867 | − | 0.782328i | \(-0.285968\pi\) |
−0.863008 | + | 0.505190i | \(0.831422\pi\) | |||||||
\(444\) | −1.63081 | − | 11.3425i | −0.0773949 | − | 0.538293i | ||||
\(445\) | −5.33745 | − | 1.56722i | −0.253019 | − | 0.0742932i | ||||
\(446\) | −13.4711 | + | 8.65732i | −0.637873 | + | 0.409936i | ||||
\(447\) | −2.16440 | + | 15.0537i | −0.102373 | + | 0.712017i | ||||
\(448\) | 1.95003 | − | 4.26998i | 0.0921305 | − | 0.201738i | ||||
\(449\) | −11.6378 | + | 25.4832i | −0.549221 | + | 1.20263i | 0.407924 | + | 0.913016i | \(0.366253\pi\) |
−0.957145 | + | 0.289610i | \(0.906474\pi\) | |||||||
\(450\) | −0.142315 | + | 0.989821i | −0.00670879 | + | 0.0466606i | ||||
\(451\) | 3.68517 | − | 2.36832i | 0.173528 | − | 0.111520i | ||||
\(452\) | 12.0049 | + | 3.52496i | 0.564664 | + | 0.165800i | ||||
\(453\) | −1.54818 | − | 10.7678i | −0.0727398 | − | 0.505917i | ||||
\(454\) | 6.45478 | + | 7.44922i | 0.302938 | + | 0.349609i | ||||
\(455\) | −18.2902 | − | 11.7544i | −0.857456 | − | 0.551053i | ||||
\(456\) | −2.75889 | + | 3.18393i | −0.129197 | + | 0.149101i | ||||
\(457\) | −12.3929 | + | 3.63887i | −0.579714 | + | 0.170219i | −0.558426 | − | 0.829554i | \(-0.688595\pi\) |
−0.0212874 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(458\) | 3.85681 | + | 8.44523i | 0.180217 | + | 0.394620i | ||||
\(459\) | 3.30673 | 0.154345 | ||||||||
\(460\) | 1.43919 | − | 4.57479i | 0.0671024 | − | 0.213301i | ||||
\(461\) | −12.0148 | −0.559585 | −0.279792 | − | 0.960060i | \(-0.590266\pi\) | ||||
−0.279792 | + | 0.960060i | \(0.590266\pi\) | |||||||
\(462\) | −2.79825 | − | 6.12731i | −0.130186 | − | 0.285068i | ||||
\(463\) | −0.686756 | + | 0.201650i | −0.0319162 | + | 0.00937145i | −0.297652 | − | 0.954675i | \(-0.596203\pi\) |
0.265735 | + | 0.964046i | \(0.414385\pi\) | |||||||
\(464\) | −2.01362 | + | 2.32384i | −0.0934798 | + | 0.107881i | ||||
\(465\) | 8.27071 | + | 5.31526i | 0.383545 | + | 0.246489i | ||||
\(466\) | −15.3964 | − | 17.7684i | −0.713225 | − | 0.823105i | ||||
\(467\) | 0.466386 | + | 3.24379i | 0.0215818 | + | 0.150104i | 0.997763 | − | 0.0668529i | \(-0.0212958\pi\) |
−0.976181 | + | 0.216957i | \(0.930387\pi\) | |||||||
\(468\) | 4.44398 | + | 1.30487i | 0.205423 | + | 0.0603176i | ||||
\(469\) | −46.9581 | + | 30.1781i | −2.16832 | + | 1.39350i | ||||
\(470\) | −0.0419981 | + | 0.292103i | −0.00193723 | + | 0.0134737i | ||||
\(471\) | −6.48603 | + | 14.2024i | −0.298861 | + | 0.654413i | ||||
\(472\) | −6.11546 | + | 13.3910i | −0.281487 | + | 0.616370i | ||||
\(473\) | −0.876617 | + | 6.09701i | −0.0403069 | + | 0.280341i | ||||
\(474\) | −11.5558 | + | 7.42646i | −0.530776 | + | 0.341109i | ||||
\(475\) | 4.04228 | + | 1.18692i | 0.185473 | + | 0.0544597i | ||||
\(476\) | 2.20907 | + | 15.3644i | 0.101252 | + | 0.704226i | ||||
\(477\) | 8.79971 | + | 10.1554i | 0.402911 | + | 0.464984i | ||||
\(478\) | 2.07543 | + | 1.33380i | 0.0949279 | + | 0.0610065i | ||||
\(479\) | 8.22471 | − | 9.49182i | 0.375796 | − | 0.433692i | −0.536074 | − | 0.844171i | \(-0.680093\pi\) |
0.911870 | + | 0.410479i | \(0.134638\pi\) | |||||||
\(480\) | 0.959493 | − | 0.281733i | 0.0437947 | − | 0.0128593i | ||||
\(481\) | 22.0478 | + | 48.2780i | 1.00530 | + | 2.20129i | ||||
\(482\) | −6.68910 | −0.304680 | ||||||||
\(483\) | 22.2178 | + | 3.63084i | 1.01094 | + | 0.165209i | ||||
\(484\) | −8.94085 | −0.406402 | ||||||||
\(485\) | −4.28344 | − | 9.37943i | −0.194501 | − | 0.425898i | ||||
\(486\) | 0.959493 | − | 0.281733i | 0.0435235 | − | 0.0127796i | ||||
\(487\) | −0.713730 | + | 0.823688i | −0.0323422 | + | 0.0373249i | −0.771690 | − | 0.635999i | \(-0.780588\pi\) |
0.739348 | + | 0.673323i | \(0.235134\pi\) | |||||||
\(488\) | −7.12759 | − | 4.58062i | −0.322651 | − | 0.207355i | ||||
\(489\) | 6.57409 | + | 7.58690i | 0.297290 | + | 0.343092i | ||||
\(490\) | −2.13976 | − | 14.8823i | −0.0966644 | − | 0.672315i | ||||
\(491\) | 16.1781 | + | 4.75032i | 0.730107 | + | 0.214379i | 0.625599 | − | 0.780145i | \(-0.284855\pi\) |
0.104509 | + | 0.994524i | \(0.466673\pi\) | |||||||
\(492\) | −2.56811 | + | 1.65043i | −0.115779 | + | 0.0744069i | ||||
\(493\) | 1.44703 | − | 10.0643i | 0.0651708 | − | 0.453273i | ||||
\(494\) | 8.10583 | − | 17.7493i | 0.364699 | − | 0.798578i | ||||
\(495\) | 0.596110 | − | 1.30530i | 0.0267931 | − | 0.0586688i | ||||
\(496\) | 1.39916 | − | 9.73134i | 0.0628240 | − | 0.436950i | ||||
\(497\) | 47.2764 | − | 30.3827i | 2.12064 | − | 1.36285i | ||||
\(498\) | 8.97180 | + | 2.63436i | 0.402036 | + | 0.118048i | ||||
\(499\) | −5.69078 | − | 39.5803i | −0.254754 | − | 1.77186i | −0.568828 | − | 0.822457i | \(-0.692603\pi\) |
0.314073 | − | 0.949399i | \(-0.398306\pi\) | |||||||
\(500\) | −0.654861 | − | 0.755750i | −0.0292863 | − | 0.0337981i | ||||
\(501\) | −9.43186 | − | 6.06149i | −0.421385 | − | 0.270807i | ||||
\(502\) | 6.34289 | − | 7.32008i | 0.283097 | − | 0.326711i | ||||
\(503\) | −6.23722 | + | 1.83141i | −0.278104 | + | 0.0816587i | −0.417810 | − | 0.908534i | \(-0.637202\pi\) |
0.139706 | + | 0.990193i | \(0.455384\pi\) | |||||||
\(504\) | 1.95003 | + | 4.26998i | 0.0868615 | + | 0.190200i | ||||
\(505\) | −2.28721 | −0.101779 | ||||||||
\(506\) | −3.83103 | + | 5.71696i | −0.170310 | + | 0.254150i | ||||
\(507\) | −8.45164 | −0.375350 | ||||||||
\(508\) | −3.46102 | − | 7.57857i | −0.153558 | − | 0.336245i | ||||
\(509\) | 10.4018 | − | 3.05425i | 0.461053 | − | 0.135377i | −0.0429538 | − | 0.999077i | \(-0.513677\pi\) |
0.504007 | + | 0.863700i | \(0.331859\pi\) | |||||||
\(510\) | −2.16545 | + | 2.49906i | −0.0958876 | + | 0.110660i | ||||
\(511\) | −33.7975 | − | 21.7204i | −1.49512 | − | 0.960852i | ||||
\(512\) | −0.654861 | − | 0.755750i | −0.0289410 | − | 0.0333997i | ||||
\(513\) | −0.599564 | − | 4.17006i | −0.0264714 | − | 0.184112i | ||||
\(514\) | −1.43561 | − | 0.421534i | −0.0633222 | − | 0.0185931i | ||||
\(515\) | −0.0910126 | + | 0.0584902i | −0.00401049 | + | 0.00257739i | ||||
\(516\) | 0.610894 | − | 4.24886i | 0.0268931 | − | 0.187046i | ||||
\(517\) | 0.175916 | − | 0.385202i | 0.00773678 | − | 0.0169412i | ||||
\(518\) | −22.3458 | + | 48.9305i | −0.981818 | + | 2.14988i | ||||
\(519\) | 1.49987 | − | 10.4318i | 0.0658368 | − | 0.457905i | ||||
\(520\) | −3.89634 | + | 2.50403i | −0.170866 | + | 0.109809i | ||||
\(521\) | −1.79668 | − | 0.527553i | −0.0787139 | − | 0.0231125i | 0.242138 | − | 0.970242i | \(-0.422151\pi\) |
−0.320852 | + | 0.947129i | \(0.603969\pi\) | |||||||
\(522\) | −0.437601 | − | 3.04358i | −0.0191533 | − | 0.133214i | ||||
\(523\) | −15.4425 | − | 17.8216i | −0.675255 | − | 0.779286i | 0.309934 | − | 0.950758i | \(-0.399693\pi\) |
−0.985189 | + | 0.171472i | \(0.945148\pi\) | |||||||
\(524\) | −13.2350 | − | 8.50564i | −0.578175 | − | 0.371571i | ||||
\(525\) | 3.07404 | − | 3.54763i | 0.134162 | − | 0.154831i | ||||
\(526\) | −18.6712 | + | 5.48235i | −0.814102 | + | 0.239042i | ||||
\(527\) | 13.5051 | + | 29.5720i | 0.588290 | + | 1.28818i | ||||
\(528\) | −1.43497 | −0.0624492 | ||||||||
\(529\) | −8.74479 | − | 21.2727i | −0.380208 | − | 0.924901i | ||||
\(530\) | −13.4375 | −0.583689 | ||||||||
\(531\) | −6.11546 | − | 13.3910i | −0.265388 | − | 0.581120i | ||||
\(532\) | 18.9752 | − | 5.57163i | 0.822681 | − | 0.241561i | ||||
\(533\) | 9.25905 | − | 10.6855i | 0.401054 | − | 0.462841i | ||||
\(534\) | −4.67971 | − | 3.00747i | −0.202511 | − | 0.130146i | ||||
\(535\) | 7.95565 | + | 9.18131i | 0.343953 | + | 0.396943i | ||||
\(536\) | 1.69229 | + | 11.7701i | 0.0730956 | + | 0.508391i | ||||
\(537\) | 13.1672 | + | 3.86625i | 0.568208 | + | 0.166841i | ||||
\(538\) | −27.4068 | + | 17.6133i | −1.18159 | + | 0.759362i | ||||
\(539\) | −3.07049 | + | 21.3558i | −0.132256 | + | 0.919858i | ||||
\(540\) | −0.415415 | + | 0.909632i | −0.0178766 | + | 0.0391443i | ||||
\(541\) | −2.89286 | + | 6.33447i | −0.124374 | + | 0.272340i | −0.961569 | − | 0.274564i | \(-0.911466\pi\) |
0.837195 | + | 0.546904i | \(0.184194\pi\) | |||||||
\(542\) | −3.20886 | + | 22.3181i | −0.137833 | + | 0.958646i | ||||
\(543\) | −5.33020 | + | 3.42551i | −0.228741 | + | 0.147003i | ||||
\(544\) | 3.17278 | + | 0.931613i | 0.136032 | + | 0.0399426i | ||||
\(545\) | −0.119970 | − | 0.834413i | −0.00513897 | − | 0.0357423i | ||||
\(546\) | −14.2377 | − | 16.4312i | −0.609317 | − | 0.703189i | ||||
\(547\) | −16.9113 | − | 10.8682i | −0.723075 | − | 0.464692i | 0.126630 | − | 0.991950i | \(-0.459584\pi\) |
−0.849705 | + | 0.527258i | \(0.823220\pi\) | |||||||
\(548\) | 2.67451 | − | 3.08655i | 0.114250 | − | 0.131851i | ||||
\(549\) | 8.12938 | − | 2.38700i | 0.346954 | − | 0.101875i | ||||
\(550\) | 0.596110 | + | 1.30530i | 0.0254182 | + | 0.0556581i | ||||
\(551\) | −12.9543 | −0.551870 | ||||||||
\(552\) | 2.66976 | − | 3.98402i | 0.113632 | − | 0.169571i | ||||
\(553\) | 64.4812 | 2.74202 | ||||||||
\(554\) | 5.25878 | + | 11.5151i | 0.223424 | + | 0.489231i | ||||
\(555\) | −10.9950 | + | 3.22843i | −0.466712 | + | 0.137039i | ||||
\(556\) | 2.86659 | − | 3.30822i | 0.121570 | − | 0.140300i | ||||
\(557\) | −25.4637 | − | 16.3645i | −1.07893 | − | 0.693386i | −0.124620 | − | 0.992205i | \(-0.539771\pi\) |
−0.954310 | + | 0.298818i | \(0.903408\pi\) | |||||||
\(558\) | 6.43821 | + | 7.43009i | 0.272551 | + | 0.314541i | ||||
\(559\) | 2.82941 | + | 19.6790i | 0.119671 | + | 0.832333i | ||||
\(560\) | −4.50404 | − | 1.32250i | −0.190330 | − | 0.0558860i | ||||
\(561\) | 3.99181 | − | 2.56538i | 0.168534 | − | 0.108310i | ||||
\(562\) | −1.30266 | + | 9.06018i | −0.0549493 | + | 0.382181i | ||||
\(563\) | 1.48002 | − | 3.24078i | 0.0623752 | − | 0.136583i | −0.875877 | − | 0.482534i | \(-0.839716\pi\) |
0.938252 | + | 0.345951i | \(0.112444\pi\) | |||||||
\(564\) | −0.122592 | + | 0.268439i | −0.00516204 | + | 0.0113033i | ||||
\(565\) | 1.78060 | − | 12.3844i | 0.0749106 | − | 0.521014i | ||||
\(566\) | −2.38733 | + | 1.53424i | −0.100347 | + | 0.0644890i | ||||
\(567\) | −4.50404 | − | 1.32250i | −0.189152 | − | 0.0555400i | ||||
\(568\) | −1.70376 | − | 11.8499i | −0.0714880 | − | 0.497210i | ||||
\(569\) | −21.4803 | − | 24.7895i | −0.900499 | − | 1.03923i | −0.999027 | − | 0.0440971i | \(-0.985959\pi\) |
0.0985282 | − | 0.995134i | \(-0.468587\pi\) | |||||||
\(570\) | 3.54415 | + | 2.27769i | 0.148448 | + | 0.0954018i | ||||
\(571\) | −22.2792 | + | 25.7115i | −0.932354 | + | 1.07599i | 0.0645926 | + | 0.997912i | \(0.479425\pi\) |
−0.996947 | + | 0.0780825i | \(0.975120\pi\) | |||||||
\(572\) | 6.37699 | − | 1.87245i | 0.266636 | − | 0.0782912i | ||||
\(573\) | −5.39899 | − | 11.8221i | −0.225546 | − | 0.493877i | ||||
\(574\) | 14.3300 | 0.598124 | ||||||||
\(575\) | −4.73305 | − | 0.773476i | −0.197382 | − | 0.0322562i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −8.41135 | − | 18.4183i | −0.350169 | − | 0.766764i | −0.999978 | − | 0.00666577i | \(-0.997878\pi\) |
0.649809 | − | 0.760098i | \(-0.274849\pi\) | |||||||
\(578\) | 5.81984 | − | 1.70886i | 0.242073 | − | 0.0710792i | ||||
\(579\) | −5.85641 | + | 6.75866i | −0.243384 | + | 0.280880i | ||||
\(580\) | 2.58675 | + | 1.66240i | 0.107409 | + | 0.0690276i | ||||
\(581\) | −28.7440 | − | 33.1723i | −1.19250 | − | 1.37622i | ||||
\(582\) | −1.46744 | − | 10.2063i | −0.0608274 | − | 0.423064i | ||||
\(583\) | 18.5014 | + | 5.43251i | 0.766250 | + | 0.224991i | ||||
\(584\) | −7.19988 | + | 4.62708i | −0.297933 | + | 0.191470i | ||||
\(585\) | 0.659144 | − | 4.58445i | 0.0272523 | − | 0.189544i | ||||
\(586\) | 5.01967 | − | 10.9915i | 0.207361 | − | 0.454056i | ||||
\(587\) | 3.46741 | − | 7.59257i | 0.143115 | − | 0.313379i | −0.824477 | − | 0.565895i | \(-0.808531\pi\) |
0.967593 | + | 0.252516i | \(0.0812581\pi\) | |||||||
\(588\) | 2.13976 | − | 14.8823i | 0.0882421 | − | 0.613737i | ||||
\(589\) | 34.8440 | − | 22.3929i | 1.43572 | − | 0.922682i | ||||
\(590\) | 14.1250 | + | 4.14748i | 0.581518 | + | 0.170749i | ||||
\(591\) | −1.51397 | − | 10.5299i | −0.0622763 | − | 0.433141i | ||||
\(592\) | 7.50417 | + | 8.66027i | 0.308419 | + | 0.355935i | ||||
\(593\) | −21.4703 | − | 13.7981i | −0.881680 | − | 0.566621i | 0.0196247 | − | 0.999807i | \(-0.493753\pi\) |
−0.901304 | + | 0.433186i | \(0.857389\pi\) | |||||||
\(594\) | 0.939708 | − | 1.08448i | 0.0385567 | − | 0.0444968i | ||||
\(595\) | 14.8936 | − | 4.37317i | 0.610580 | − | 0.179282i | ||||
\(596\) | −6.31785 | − | 13.8342i | −0.258789 | − | 0.566670i | ||||
\(597\) | −25.4197 | −1.04036 | ||||||||
\(598\) | −6.66572 | + | 21.1886i | −0.272582 | + | 0.866465i | ||||
\(599\) | −29.5317 | −1.20663 | −0.603317 | − | 0.797501i | \(-0.706155\pi\) | ||||
−0.603317 | + | 0.797501i | \(0.706155\pi\) | |||||||
\(600\) | −0.415415 | − | 0.909632i | −0.0169592 | − | 0.0371356i | ||||
\(601\) | −8.13090 | + | 2.38745i | −0.331666 | + | 0.0973860i | −0.443326 | − | 0.896360i | \(-0.646202\pi\) |
0.111660 | + | 0.993747i | \(0.464383\pi\) | |||||||
\(602\) | −13.1955 | + | 15.2284i | −0.537808 | + | 0.620663i | ||||
\(603\) | −10.0035 | − | 6.42884i | −0.407373 | − | 0.261802i | ||||
\(604\) | 7.12394 | + | 8.22146i | 0.289869 | + | 0.334527i | ||||
\(605\) | 1.27242 | + | 8.84985i | 0.0517311 | + | 0.359797i | ||||
\(606\) | −2.19456 | − | 0.644381i | −0.0891479 | − | 0.0261762i | ||||
\(607\) | 28.5036 | − | 18.3182i | 1.15693 | − | 0.743511i | 0.185920 | − | 0.982565i | \(-0.440473\pi\) |
0.971006 | + | 0.239053i | \(0.0768371\pi\) | |||||||
\(608\) | 0.599564 | − | 4.17006i | 0.0243155 | − | 0.169118i | ||||
\(609\) | −5.99612 | + | 13.1297i | −0.242975 | + | 0.532041i | ||||
\(610\) | −3.51964 | + | 7.70693i | −0.142506 | + | 0.312044i | ||||
\(611\) | 0.194518 | − | 1.35290i | 0.00786935 | − | 0.0547325i | ||||
\(612\) | −2.78180 | + | 1.78775i | −0.112448 | + | 0.0722656i | ||||
\(613\) | −23.5402 | − | 6.91203i | −0.950781 | − | 0.279174i | −0.230669 | − | 0.973032i | \(-0.574091\pi\) |
−0.720112 | + | 0.693858i | \(0.755910\pi\) | |||||||
\(614\) | 0.915150 | + | 6.36501i | 0.0369325 | + | 0.256871i | ||||
\(615\) | 1.99911 | + | 2.30709i | 0.0806118 | + | 0.0930309i | ||||
\(616\) | 5.66671 | + | 3.64177i | 0.228318 | + | 0.146731i | ||||
\(617\) | 4.00623 | − | 4.62344i | 0.161285 | − | 0.186133i | −0.669355 | − | 0.742943i | \(-0.733429\pi\) |
0.830640 | + | 0.556810i | \(0.187975\pi\) | |||||||
\(618\) | −0.103805 | + | 0.0304798i | −0.00417563 | + | 0.00122608i | ||||
\(619\) | 15.2937 | + | 33.4886i | 0.614707 | + | 1.34602i | 0.919308 | + | 0.393540i | \(0.128750\pi\) |
−0.304601 | + | 0.952480i | \(0.598523\pi\) | |||||||
\(620\) | −9.83141 | −0.394839 | ||||||||
\(621\) | 1.26260 | + | 4.62664i | 0.0506664 | + | 0.185661i | ||||
\(622\) | 5.34794 | 0.214433 | ||||||||
\(623\) | 10.8476 | + | 23.7530i | 0.434601 | + | 0.951643i | ||||
\(624\) | −4.44398 | + | 1.30487i | −0.177902 | + | 0.0522366i | ||||
\(625\) | −0.654861 | + | 0.755750i | −0.0261944 | + | 0.0302300i | ||||
\(626\) | 19.8143 | + | 12.7339i | 0.791940 | + | 0.508949i | ||||
\(627\) | −3.95893 | − | 4.56885i | −0.158104 | − | 0.182462i | ||||
\(628\) | −2.22202 | − | 15.4545i | −0.0886681 | − | 0.616700i | ||||
\(629\) | −36.3575 | − | 10.6755i | −1.44967 | − | 0.425661i | ||||
\(630\) | 3.94900 | − | 2.53787i | 0.157332 | − | 0.101111i | ||||
\(631\) | 4.81059 | − | 33.4584i | 0.191507 | − | 1.33196i | −0.636516 | − | 0.771264i | \(-0.719625\pi\) |
0.828022 | − | 0.560695i | \(-0.189466\pi\) | |||||||
\(632\) | 5.70631 | − | 12.4951i | 0.226985 | − | 0.497027i | ||||
\(633\) | 1.62725 | − | 3.56319i | 0.0646775 | − | 0.141624i | ||||
\(634\) | 1.65115 | − | 11.4840i | 0.0655756 | − | 0.456088i | ||||
\(635\) | −7.00888 | + | 4.50433i | −0.278139 | + | 0.178749i | ||||
\(636\) | −12.8932 | − | 3.78579i | −0.511249 | − | 0.150116i | ||||
\(637\) | 9.91048 | + | 68.9289i | 0.392667 | + | 2.73106i | ||||
\(638\) | −2.88949 | − | 3.33464i | −0.114396 | − | 0.132020i | ||||
\(639\) | 10.0713 | + | 6.47241i | 0.398413 | + | 0.256045i | ||||
\(640\) | −0.654861 | + | 0.755750i | −0.0258856 | + | 0.0298736i | ||||
\(641\) | −20.9910 | + | 6.16352i | −0.829095 | + | 0.243444i | −0.668628 | − | 0.743597i | \(-0.733118\pi\) |
−0.160467 | + | 0.987041i | \(0.551300\pi\) | |||||||
\(642\) | 5.04672 | + | 11.0508i | 0.199178 | + | 0.436139i | ||||
\(643\) | −40.5773 | −1.60021 | −0.800106 | − | 0.599859i | \(-0.795223\pi\) | ||||
−0.800106 | + | 0.599859i | \(0.795223\pi\) | |||||||
\(644\) | −20.6538 | + | 8.95739i | −0.813873 | + | 0.352971i | ||||
\(645\) | −4.29256 | −0.169019 | ||||||||
\(646\) | 5.78717 | + | 12.6721i | 0.227693 | + | 0.498578i | ||||
\(647\) | 21.8834 | − | 6.42556i | 0.860327 | − | 0.252615i | 0.178331 | − | 0.983971i | \(-0.442930\pi\) |
0.681996 | + | 0.731356i | \(0.261112\pi\) | |||||||
\(648\) | −0.654861 | + | 0.755750i | −0.0257254 | + | 0.0296886i | ||||
\(649\) | −17.7712 | − | 11.4209i | −0.697582 | − | 0.448309i | ||||
\(650\) | 3.03305 | + | 3.50032i | 0.118966 | + | 0.137294i | ||||
\(651\) | −6.56790 | − | 45.6807i | −0.257416 | − | 1.79037i | ||||
\(652\) | −9.63226 | − | 2.82829i | −0.377229 | − | 0.110764i | ||||
\(653\) | −12.0225 | + | 7.72640i | −0.470478 | + | 0.302358i | −0.754312 | − | 0.656516i | \(-0.772030\pi\) |
0.283835 | + | 0.958873i | \(0.408393\pi\) | |||||||
\(654\) | 0.119970 | − | 0.834413i | 0.00469122 | − | 0.0326281i | ||||
\(655\) | −6.53552 | + | 14.3108i | −0.255364 | + | 0.559169i | ||||
\(656\) | 1.26815 | − | 2.77685i | 0.0495128 | − | 0.108418i | ||||
\(657\) | 1.21800 | − | 8.47140i | 0.0475188 | − | 0.330501i | ||||
\(658\) | 1.16538 | − | 0.748942i | 0.0454311 | − | 0.0291968i | ||||
\(659\) | 18.7366 | + | 5.50155i | 0.729873 | + | 0.214310i | 0.625496 | − | 0.780228i | \(-0.284897\pi\) |
0.104378 | + | 0.994538i | \(0.466715\pi\) | |||||||
\(660\) | 0.204218 | + | 1.42037i | 0.00794918 | + | 0.0552877i | ||||
\(661\) | −3.62174 | − | 4.17971i | −0.140869 | − | 0.162572i | 0.680931 | − | 0.732348i | \(-0.261575\pi\) |
−0.821800 | + | 0.569776i | \(0.807030\pi\) | |||||||
\(662\) | 16.6020 | + | 10.6695i | 0.645256 | + | 0.414681i | ||||
\(663\) | 10.0295 | − | 11.5746i | 0.389512 | − | 0.449521i | ||||
\(664\) | −8.97180 | + | 2.63436i | −0.348173 | + | 0.102233i | ||||
\(665\) | −8.21538 | − | 17.9892i | −0.318579 | − | 0.697590i | ||||
\(666\) | −11.4592 | −0.444034 | ||||||||
\(667\) | 14.6341 | − | 1.81820i | 0.566633 | − | 0.0704010i | ||||
\(668\) | 11.2117 | 0.433793 | ||||||||
\(669\) | 6.65207 | + | 14.5660i | 0.257184 | + | 0.563154i | ||||
\(670\) | 11.4095 | − | 3.35012i | 0.440786 | − | 0.129426i | ||||
\(671\) | 7.96175 | − | 9.18835i | 0.307360 | − | 0.354712i | ||||
\(672\) | −3.94900 | − | 2.53787i | −0.152336 | − | 0.0979004i | ||||
\(673\) | 0.160246 | + | 0.184934i | 0.00617705 | + | 0.00712869i | 0.758830 | − | 0.651289i | \(-0.225771\pi\) |
−0.752653 | + | 0.658418i | \(0.771226\pi\) | |||||||
\(674\) | −0.710989 | − | 4.94504i | −0.0273863 | − | 0.190476i | ||||
\(675\) | 0.959493 | + | 0.281733i | 0.0369309 | + | 0.0108439i | ||||
\(676\) | 7.10997 | − | 4.56930i | 0.273460 | − | 0.175742i | ||||
\(677\) | 2.58348 | − | 17.9685i | 0.0992914 | − | 0.690587i | −0.877996 | − | 0.478668i | \(-0.841120\pi\) |
0.977287 | − | 0.211919i | \(-0.0679712\pi\) | |||||||
\(678\) | 5.19756 | − | 11.3811i | 0.199611 | − | 0.437087i | ||||
\(679\) | −20.1073 | + | 44.0288i | −0.771646 | + | 1.68967i | ||||
\(680\) | 0.470597 | − | 3.27307i | 0.0180466 | − | 0.125517i | ||||
\(681\) | 8.29201 | − | 5.32895i | 0.317750 | − | 0.204206i | ||||
\(682\) | 13.5364 | + | 3.97463i | 0.518334 | + | 0.152197i | ||||
\(683\) | 3.70090 | + | 25.7403i | 0.141611 | + | 0.984925i | 0.929425 | + | 0.369012i | \(0.120304\pi\) |
−0.787814 | + | 0.615913i | \(0.788787\pi\) | |||||||
\(684\) | 2.75889 | + | 3.18393i | 0.105489 | + | 0.121740i | ||||
\(685\) | −3.43576 | − | 2.20803i | −0.131274 | − | 0.0843644i | ||||
\(686\) | −24.7010 | + | 28.5065i | −0.943090 | + | 1.08838i | ||||
\(687\) | 8.90815 | − | 2.61567i | 0.339867 | − | 0.0997940i | ||||
\(688\) | 1.78319 | + | 3.90465i | 0.0679836 | + | 0.148863i | ||||
\(689\) | 62.2371 | 2.37105 | ||||||||
\(690\) | −4.32341 | − | 2.07560i | −0.164589 | − | 0.0790167i | ||||
\(691\) | −3.43481 | −0.130666 | −0.0653331 | − | 0.997864i | \(-0.520811\pi\) | ||||
−0.0653331 | + | 0.997864i | \(0.520811\pi\) | |||||||
\(692\) | 4.37809 | + | 9.58667i | 0.166430 | + | 0.364431i | ||||
\(693\) | −6.46318 | + | 1.89776i | −0.245516 | + | 0.0720899i | ||||
\(694\) | −11.2004 | + | 12.9260i | −0.425162 | + | 0.490663i | ||||
\(695\) | −3.68250 | − | 2.36660i | −0.139685 | − | 0.0897703i | ||||
\(696\) | 2.01362 | + | 2.32384i | 0.0763259 | + | 0.0880848i | ||||
\(697\) | 1.43660 | + | 9.99178i | 0.0544151 | + | 0.378465i | ||||
\(698\) | 9.11425 | + | 2.67619i | 0.344980 | + | 0.101295i | ||||
\(699\) | −19.7787 | + | 12.7110i | −0.748098 | + | 0.480774i | ||||
\(700\) | −0.668052 | + | 4.64640i | −0.0252500 | + | 0.175618i | ||||
\(701\) | 0.627306 | − | 1.37361i | 0.0236930 | − | 0.0518805i | −0.897416 | − | 0.441186i | \(-0.854558\pi\) |
0.921109 | + | 0.389306i | \(0.127285\pi\) | |||||||
\(702\) | 1.92403 | − | 4.21304i | 0.0726179 | − | 0.159011i | ||||
\(703\) | −6.87051 | + | 47.7854i | −0.259126 | + | 1.80226i | ||||
\(704\) | 1.20718 | − | 0.775805i | 0.0454972 | − | 0.0292393i | ||||
\(705\) | 0.283153 | + | 0.0831412i | 0.0106642 | + | 0.00313128i | ||||
\(706\) | −0.619954 | − | 4.31188i | −0.0233323 | − | 0.162280i | ||||
\(707\) | 7.03096 | + | 8.11416i | 0.264427 | + | 0.305165i | ||||
\(708\) | 12.3844 | + | 7.95895i | 0.465433 | + | 0.299116i | ||||
\(709\) | 27.6768 | − | 31.9407i | 1.03942 | − | 1.19956i | 0.0599056 | − | 0.998204i | \(-0.480920\pi\) |
0.979518 | − | 0.201355i | \(-0.0645345\pi\) | |||||||
\(710\) | −11.4868 | + | 3.37283i | −0.431092 | + | 0.126580i | ||||
\(711\) | 5.70631 | + | 12.4951i | 0.214003 | + | 0.468602i | ||||
\(712\) | 5.56278 | 0.208474 | ||||||||
\(713\) | −36.2193 | + | 30.1871i | −1.35642 | + | 1.13052i | ||||
\(714\) | 15.5224 | 0.580911 | ||||||||
\(715\) | −2.76094 | − | 6.04561i | −0.103253 | − | 0.226093i | ||||
\(716\) | −13.1672 | + | 3.86625i | −0.492083 | + | 0.144489i | ||||
\(717\) | 1.61559 | − | 1.86448i | 0.0603351 | − | 0.0696305i | ||||
\(718\) | −11.3677 | − | 7.30559i | −0.424240 | − | 0.272642i | ||||
\(719\) | 14.1604 | + | 16.3420i | 0.528094 | + | 0.609453i | 0.955639 | − | 0.294541i | \(-0.0951669\pi\) |
−0.427545 | + | 0.903994i | \(0.640621\pi\) | |||||||
\(720\) | −0.142315 | − | 0.989821i | −0.00530376 | − | 0.0368885i | ||||
\(721\) | 0.487278 | + | 0.143078i | 0.0181472 | + | 0.00532849i | ||||
\(722\) | −1.05254 | + | 0.676426i | −0.0391715 | + | 0.0251740i | ||||
\(723\) | −0.951958 | + | 6.62102i | −0.0354037 | + | 0.246238i | ||||
\(724\) | 2.63208 | − | 5.76344i | 0.0978203 | − | 0.214197i | ||||
\(725\) | 1.27735 | − | 2.79701i | 0.0474396 | − | 0.103878i | ||||
\(726\) | −1.27242 | + | 8.84985i | −0.0472238 | + | 0.328449i | ||||
\(727\) | −30.6873 | + | 19.7215i | −1.13813 | + | 0.731432i | −0.967241 | − | 0.253859i | \(-0.918300\pi\) |
−0.170888 | + | 0.985290i | \(0.554664\pi\) | |||||||
\(728\) | 20.8609 | + | 6.12530i | 0.773155 | + | 0.227019i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 5.60463 | + | 6.46809i | 0.207437 | + | 0.239395i | ||||
\(731\) | −11.9410 | − | 7.67403i | −0.441655 | − | 0.283834i | ||||
\(732\) | −5.54836 | + | 6.40315i | −0.205073 | + | 0.236667i | ||||
\(733\) | 10.9310 | − | 3.20963i | 0.403745 | − | 0.118550i | −0.0735539 | − | 0.997291i | \(-0.523434\pi\) |
0.477299 | + | 0.878741i | \(0.341616\pi\) | |||||||
\(734\) | 9.06846 | + | 19.8572i | 0.334723 | + | 0.732941i | ||||
\(735\) | −15.0354 | −0.554588 | ||||||||
\(736\) | −0.0920206 | + | 4.79495i | −0.00339192 | + | 0.176744i | ||||
\(737\) | −17.0635 | −0.628541 | ||||||||
\(738\) | 1.26815 | + | 2.77685i | 0.0466811 | + | 0.102217i | ||||
\(739\) | −6.66856 | + | 1.95806i | −0.245307 | + | 0.0720286i | −0.402075 | − | 0.915607i | \(-0.631711\pi\) |
0.156768 | + | 0.987635i | \(0.449893\pi\) | |||||||
\(740\) | 7.50417 | − | 8.66027i | 0.275859 | − | 0.318358i | ||||
\(741\) | −16.4150 | − | 10.5493i | −0.603022 | − | 0.387539i | ||||
\(742\) | 41.3074 | + | 47.6713i | 1.51644 | + | 1.75007i | ||||
\(743\) | −3.07917 | − | 21.4161i | −0.112964 | − | 0.785679i | −0.965010 | − | 0.262213i | \(-0.915548\pi\) |
0.852046 | − | 0.523466i | \(-0.175361\pi\) | |||||||
\(744\) | −9.43317 | − | 2.76983i | −0.345837 | − | 0.101547i | ||||
\(745\) | −12.7942 | + | 8.22235i | −0.468744 | + | 0.301244i | ||||
\(746\) | −0.842529 | + | 5.85992i | −0.0308472 | + | 0.214547i | ||||
\(747\) | 3.88436 | − | 8.50557i | 0.142121 | − | 0.311203i | ||||
\(748\) | −1.97117 | + | 4.31627i | −0.0720732 | + | 0.157818i | ||||
\(749\) | 8.11591 | − | 56.4474i | 0.296549 | − | 2.06254i | ||||
\(750\) | −0.841254 | + | 0.540641i | −0.0307182 | + | 0.0197414i | ||||
\(751\) | −43.3952 | − | 12.7420i | −1.58351 | − | 0.464962i | −0.632616 | − | 0.774466i | \(-0.718019\pi\) |
−0.950898 | + | 0.309504i | \(0.899837\pi\) | |||||||
\(752\) | −0.0419981 | − | 0.292103i | −0.00153151 | − | 0.0106519i | ||||
\(753\) | −6.34289 | − | 7.32008i | −0.231148 | − | 0.266759i | ||||
\(754\) | −11.9808 | − | 7.69957i | −0.436314 | − | 0.280402i | ||||
\(755\) | 7.12394 | − | 8.22146i | 0.259267 | − | 0.299210i | ||||
\(756\) | 4.50404 | − | 1.32250i | 0.163810 | − | 0.0480990i | ||||
\(757\) | 14.9031 | + | 32.6332i | 0.541662 | + | 1.18607i | 0.960568 | + | 0.278044i | \(0.0896862\pi\) |
−0.418907 | + | 0.908029i | \(0.637587\pi\) | |||||||
\(758\) | 13.4209 | 0.487469 | ||||||||
\(759\) | 5.11356 | + | 4.60565i | 0.185610 | + | 0.167174i | ||||
\(760\) | −4.21294 | −0.152819 | ||||||||
\(761\) | 9.81389 | + | 21.4894i | 0.355753 | + | 0.778991i | 0.999901 | + | 0.0140895i | \(0.00448499\pi\) |
−0.644148 | + | 0.764901i | \(0.722788\pi\) | |||||||
\(762\) | −7.99399 | + | 2.34725i | −0.289592 | + | 0.0850318i | ||||
\(763\) | −2.59139 | + | 2.99063i | −0.0938147 | + | 0.108268i | ||||
\(764\) | 10.9334 | + | 7.02650i | 0.395558 | + | 0.254210i | ||||
\(765\) | 2.16545 | + | 2.49906i | 0.0782919 | + | 0.0903537i | ||||
\(766\) | 2.91490 | + | 20.2736i | 0.105319 | + | 0.732513i | ||||
\(767\) | −65.4213 | − | 19.2094i | −2.36223 | − | 0.693612i | ||||
\(768\) | −0.841254 | + | 0.540641i | −0.0303561 | + | 0.0195087i | ||||
\(769\) | 2.57692 | − | 17.9229i | 0.0929262 | − | 0.646316i | −0.889120 | − | 0.457675i | \(-0.848682\pi\) |
0.982046 | − | 0.188642i | \(-0.0604084\pi\) | |||||||
\(770\) | 2.79825 | − | 6.12731i | 0.100842 | − | 0.220813i | ||||
\(771\) | −0.621552 | + | 1.36101i | −0.0223847 | + | 0.0490156i | ||||
\(772\) | 1.27272 | − | 8.85196i | 0.0458062 | − | 0.318589i | ||||
\(773\) | −25.0497 | + | 16.0984i | −0.900974 | + | 0.579021i | −0.907079 | − | 0.420960i | \(-0.861693\pi\) |
0.00610491 | + | 0.999981i | \(0.498057\pi\) | |||||||
\(774\) | −4.11868 | − | 1.20935i | −0.148043 | − | 0.0434693i | ||||
\(775\) | 1.39916 | + | 9.73134i | 0.0502592 | + | 0.349560i | ||||
\(776\) | 6.75242 | + | 7.79271i | 0.242398 | + | 0.279742i | ||||
\(777\) | 45.2523 | + | 29.0819i | 1.62342 | + | 1.04331i | ||||
\(778\) | −8.09444 | + | 9.34148i | −0.290200 | + | 0.334908i | ||||
\(779\) | 12.3400 | − | 3.62334i | 0.442125 | − | 0.129820i | ||||
\(780\) | 1.92403 | + | 4.21304i | 0.0688914 | + | 0.150851i | ||||
\(781\) | 17.1791 | 0.614717 | ||||||||
\(782\) | −8.31620 | − | 13.5031i | −0.297387 | − | 0.482869i | ||||
\(783\) | −3.07488 | −0.109887 | ||||||||
\(784\) | 6.24592 | + | 13.6767i | 0.223069 | + | 0.488452i | ||||
\(785\) | −14.9809 | + | 4.39880i | −0.534692 | + | 0.157000i | ||||
\(786\) | −10.3026 | + | 11.8898i | −0.367482 | + | 0.424097i | ||||
\(787\) | −35.7068 | − | 22.9474i | −1.27281 | − | 0.817986i | −0.282828 | − | 0.959171i | \(-0.591273\pi\) |
−0.989983 | + | 0.141185i | \(0.954909\pi\) | |||||||
\(788\) | 6.96651 | + | 8.03978i | 0.248172 | + | 0.286405i | ||||
\(789\) | 2.76936 | + | 19.2614i | 0.0985920 | + | 0.685722i | ||||
\(790\) | −13.1800 | − | 3.86999i | −0.468923 | − | 0.137688i | ||||
\(791\) | −49.4088 | + | 31.7531i | −1.75677 | + | 1.12901i | ||||
\(792\) | −0.204218 | + | 1.42037i | −0.00725657 | + | 0.0504706i | ||||
\(793\) | 16.3015 | − | 35.6953i | 0.578884 | − | 1.26758i | ||||
\(794\) | 1.75793 | − | 3.84934i | 0.0623867 | − | 0.136608i | ||||
\(795\) | −1.91236 | + | 13.3007i | −0.0678244 | + | 0.471729i | ||||
\(796\) | 21.3844 | − | 13.7429i | 0.757951 | − | 0.487106i | ||||
\(797\) | 15.4850 | + | 4.54680i | 0.548506 | + | 0.161056i | 0.544232 | − | 0.838935i | \(-0.316821\pi\) |
0.00427432 | + | 0.999991i | \(0.498639\pi\) | |||||||
\(798\) | −2.81446 | − | 19.5750i | −0.0996309 | − | 0.692948i | ||||
\(799\) | 0.639038 | + | 0.737489i | 0.0226075 | + | 0.0260905i | ||||
\(800\) | 0.841254 | + | 0.540641i | 0.0297428 | + | 0.0191145i | ||||
\(801\) | −3.64285 | + | 4.20407i | −0.128714 | + | 0.148543i | ||||
\(802\) | −27.7786 | + | 8.15653i | −0.980896 | + | 0.288017i | ||||
\(803\) | −5.10181 | − | 11.1714i | −0.180039 | − | 0.394230i | ||||
\(804\) | 11.8911 | 0.419368 | ||||||||
\(805\) | 11.8056 | + | 19.1688i | 0.416091 | + | 0.675611i | ||||
\(806\) | 45.5351 | 1.60391 | ||||||||
\(807\) | 13.5336 | + | 29.6345i | 0.476406 | + | 1.04318i | ||||
\(808\) | 2.19456 | − | 0.644381i | 0.0772043 | − | 0.0226692i | ||||
\(809\) | 6.89705 | − | 7.95962i | 0.242487 | − | 0.279845i | −0.621440 | − | 0.783462i | \(-0.713452\pi\) |
0.863927 | + | 0.503616i | \(0.167997\pi\) | |||||||
\(810\) | 0.841254 | + | 0.540641i | 0.0295586 | + | 0.0189962i | ||||
\(811\) | −34.7224 | − | 40.0718i | −1.21927 | − | 1.40711i | −0.885618 | − | 0.464414i | \(-0.846265\pi\) |
−0.333650 | − | 0.942697i | \(-0.608280\pi\) | |||||||
\(812\) | −2.05418 | − | 14.2871i | −0.0720875 | − | 0.501380i | ||||
\(813\) | 21.6343 | + | 6.35241i | 0.758748 | + | 0.222789i | ||||
\(814\) | −13.8333 | + | 8.89010i | −0.484856 | + | 0.311598i | ||||
\(815\) | −1.42869 | + | 9.93673i | −0.0500447 | + | 0.348068i | ||||
\(816\) | 1.37367 | − | 3.00791i | 0.0480879 | − | 0.105298i | ||||
\(817\) | −7.51248 | + | 16.4500i | −0.262828 | + | 0.575514i | ||||
\(818\) | −1.82450 | + | 12.6897i | −0.0637921 | + | 0.443684i | ||||
\(819\) | −18.2902 | + | 11.7544i | −0.639110 | + | 0.410731i | ||||
\(820\) | −2.92906 | − | 0.860051i | −0.102287 | − | 0.0300343i | ||||
\(821\) | −6.26233 | − | 43.5555i | −0.218557 | − | 1.52010i | −0.743371 | − | 0.668880i | \(-0.766774\pi\) |
0.524814 | − | 0.851217i | \(-0.324135\pi\) | |||||||
\(822\) | −2.67451 | − | 3.08655i | −0.0932844 | − | 0.107656i | ||||
\(823\) | 3.38554 | + | 2.17575i | 0.118012 | + | 0.0758420i | 0.598316 | − | 0.801261i | \(-0.295837\pi\) |
−0.480303 | + | 0.877103i | \(0.659473\pi\) | |||||||
\(824\) | 0.0708473 | − | 0.0817622i | 0.00246808 | − | 0.00284832i | ||||
\(825\) | 1.37685 | − | 0.404279i | 0.0479357 | − | 0.0140752i | ||||
\(826\) | −28.7071 | − | 62.8598i | −0.998848 | − | 2.18717i | ||||
\(827\) | −19.5779 | −0.680792 | −0.340396 | − | 0.940282i | \(-0.610561\pi\) | ||||
−0.340396 | + | 0.940282i | \(0.610561\pi\) | |||||||
\(828\) | −3.56352 | − | 3.20957i | −0.123841 | − | 0.111540i | ||||
\(829\) | −8.55886 | −0.297262 | −0.148631 | − | 0.988893i | \(-0.547487\pi\) | ||||
−0.148631 | + | 0.988893i | \(0.547487\pi\) | |||||||
\(830\) | 3.88436 | + | 8.50557i | 0.134828 | + | 0.295233i | ||||
\(831\) | 12.1463 | − | 3.56648i | 0.421351 | − | 0.123720i | ||||
\(832\) | 3.03305 | − | 3.50032i | 0.105152 | − | 0.121352i | ||||
\(833\) | −41.8254 | − | 26.8795i | −1.44916 | − | 0.931321i | ||||
\(834\) | −2.86659 | − | 3.30822i | −0.0992618 | − | 0.114554i | ||||
\(835\) | −1.59559 | − | 11.0976i | −0.0552176 | − | 0.384047i | ||||
\(836\) | 5.80057 | + | 1.70320i | 0.200617 | + | 0.0589065i | ||||
\(837\) | 8.27071 | − | 5.31526i | 0.285878 | − | 0.183722i | ||||
\(838\) | 0.336876 | − | 2.34302i | 0.0116372 | − | 0.0809383i | ||||
\(839\) | −5.63295 | + | 12.3344i | −0.194471 | + | 0.425832i | −0.981598 | − | 0.190959i | \(-0.938840\pi\) |
0.787127 | + | 0.616791i | \(0.211568\pi\) | |||||||
\(840\) | −1.95003 | + | 4.26998i | −0.0672826 | + | 0.147328i | ||||
\(841\) | 2.78156 | − | 19.3462i | 0.0959160 | − | 0.667110i | ||||
\(842\) | 20.5141 | − | 13.1836i | 0.706961 | − | 0.454336i | ||||
\(843\) | 8.78258 | + | 2.57880i | 0.302488 | + | 0.0888185i | ||||
\(844\) | 0.557472 | + | 3.87731i | 0.0191890 | + | 0.133462i | ||||
\(845\) | −5.53465 | − | 6.38732i | −0.190398 | − | 0.219731i | ||||
\(846\) | 0.248260 | + | 0.159547i | 0.00853534 | + | 0.00548533i | ||||
\(847\) | 27.4845 | − | 31.7188i | 0.944379 | − | 1.08987i | ||||
\(848\) | 12.8932 | − | 3.78579i | 0.442755 | − | 0.130004i | ||||
\(849\) | 1.17887 | + | 2.58137i | 0.0404588 | + | 0.0885925i | ||||
\(850\) | −3.30673 | −0.113420 | ||||||||
\(851\) | 1.05448 | − | 54.9462i | 0.0361471 | − | 1.88353i | ||||
\(852\) | −11.9717 | −0.410145 | ||||||||
\(853\) | −7.88984 | − | 17.2763i | −0.270143 | − | 0.591531i | 0.725134 | − | 0.688608i | \(-0.241778\pi\) |
−0.995277 | + | 0.0970772i | \(0.969051\pi\) | |||||||
\(854\) | 38.1608 | − | 11.2050i | 1.30584 | − | 0.383428i | ||||
\(855\) | 2.75889 | − | 3.18393i | 0.0943520 | − | 0.108888i | ||||
\(856\) | −10.2201 | − | 6.56803i | −0.349315 | − | 0.224491i | ||||
\(857\) | 9.81979 | + | 11.3326i | 0.335438 | + | 0.387116i | 0.898262 | − | 0.439461i | \(-0.144831\pi\) |
−0.562824 | + | 0.826577i | \(0.690285\pi\) | |||||||
\(858\) | −0.945855 | − | 6.57856i | −0.0322909 | − | 0.224588i | ||||
\(859\) | −0.733496 | − | 0.215374i | −0.0250266 | − | 0.00734846i | 0.269195 | − | 0.963086i | \(-0.413242\pi\) |
−0.294222 | + | 0.955737i | \(0.595060\pi\) | |||||||
\(860\) | 3.61113 | − | 2.32073i | 0.123138 | − | 0.0791363i | ||||
\(861\) | 2.03938 | − | 14.1842i | 0.0695018 | − | 0.483395i | ||||
\(862\) | 3.89691 | − | 8.53305i | 0.132729 | − | 0.290637i | ||||
\(863\) | 2.56099 | − | 5.60779i | 0.0871772 | − | 0.190892i | −0.861022 | − | 0.508568i | \(-0.830175\pi\) |
0.948199 | + | 0.317676i | \(0.102902\pi\) | |||||||
\(864\) | 0.142315 | − | 0.989821i | 0.00484165 | − | 0.0336744i | ||||
\(865\) | 8.86603 | − | 5.69785i | 0.301454 | − | 0.193733i | ||||
\(866\) | 12.3377 | + | 3.62267i | 0.419251 | + | 0.123103i | ||||
\(867\) | −0.863216 | − | 6.00380i | −0.0293164 | − | 0.203900i | ||||
\(868\) | 30.2221 | + | 34.8782i | 1.02581 | + | 1.18384i | ||||
\(869\) | 16.5823 | + | 10.6568i | 0.562515 | + | 0.361506i | ||||
\(870\) | 2.01362 | − | 2.32384i | 0.0682680 | − | 0.0787854i | ||||
\(871\) | −52.8440 | + | 15.5164i | −1.79055 | + | 0.525753i | ||||
\(872\) | 0.350192 | + | 0.766814i | 0.0118590 | + | 0.0259676i | ||||
\(873\) | −10.3112 | −0.348982 | ||||||||
\(874\) | −15.5206 | + | 12.9357i | −0.524993 | + | 0.437558i | ||||
\(875\) | 4.69418 | 0.158692 | ||||||||
\(876\) | 3.55533 | + | 7.78509i | 0.120124 | + | 0.263034i | ||||
\(877\) | 11.5733 | − | 3.39824i | 0.390804 | − | 0.114750i | −0.0804263 | − | 0.996761i | \(-0.525628\pi\) |
0.471231 | + | 0.882010i | \(0.343810\pi\) | |||||||
\(878\) | 5.56993 | − | 6.42804i | 0.187976 | − | 0.216936i | ||||
\(879\) | −10.1653 | − | 6.53283i | −0.342867 | − | 0.220347i | ||||
\(880\) | −0.939708 | − | 1.08448i | −0.0316775 | − | 0.0365578i | ||||
\(881\) | 6.95765 | + | 48.3915i | 0.234409 | + | 1.63035i | 0.678663 | + | 0.734450i | \(0.262560\pi\) |
−0.444254 | + | 0.895901i | \(0.646531\pi\) | |||||||
\(882\) | −14.4263 | − | 4.23595i | −0.485760 | − | 0.142632i | ||||
\(883\) | 40.6633 | − | 26.1327i | 1.36843 | − | 0.879437i | 0.369667 | − | 0.929164i | \(-0.379472\pi\) |
0.998763 | + | 0.0497276i | \(0.0158353\pi\) | |||||||
\(884\) | −2.17961 | + | 15.1595i | −0.0733083 | + | 0.509870i | ||||
\(885\) | 6.11546 | − | 13.3910i | 0.205569 | − | 0.450133i | ||||
\(886\) | 3.20628 | − | 7.02078i | 0.107717 | − | 0.235868i | ||||
\(887\) | −6.54237 | + | 45.5032i | −0.219671 | + | 1.52785i | 0.519582 | + | 0.854421i | \(0.326088\pi\) |
−0.739253 | + | 0.673428i | \(0.764821\pi\) | |||||||
\(888\) | 9.64008 | − | 6.19530i | 0.323500 | − | 0.207901i | ||||
\(889\) | 37.5253 | + | 11.0184i | 1.25856 | + | 0.369546i | ||||
\(890\) | −0.791666 | − | 5.50616i | −0.0265367 | − | 0.184567i | ||||
\(891\) | −0.939708 | − | 1.08448i | −0.0314814 | − | 0.0363315i | ||||
\(892\) | −13.4711 | − | 8.65732i | −0.451044 | − | 0.289869i | ||||
\(893\) | 0.814166 | − | 0.939598i | 0.0272450 | − | 0.0314424i | ||||
\(894\) | −14.5925 | + | 4.28474i | −0.488046 | + | 0.143303i | ||||
\(895\) | 5.70079 | + | 12.4830i | 0.190556 | + | 0.417260i | ||||
\(896\) | 4.69418 | 0.156822 | ||||||||
\(897\) | 20.0243 | + | 9.61332i | 0.668591 | + | 0.320980i | ||||
\(898\) | −28.0148 | −0.934867 | ||||||||
\(899\) | −12.5582 | − | 27.4985i | −0.418838 | − | 0.917127i | ||||
\(900\) | −0.959493 | + | 0.281733i | −0.0319831 | + | 0.00939109i | ||||
\(901\) | −29.0983 | + | 33.5812i | −0.969403 | + | 1.11875i | ||||
\(902\) | 3.68517 | + | 2.36832i | 0.122703 | + | 0.0788563i | ||||
\(903\) | 13.1955 | + | 15.2284i | 0.439118 | + | 0.506769i | ||||
\(904\) | 1.78060 | + | 12.3844i | 0.0592220 | + | 0.411898i | ||||
\(905\) | −6.07936 | − | 1.78506i | −0.202085 | − | 0.0593375i | ||||
\(906\) | 9.15162 | − | 5.88139i | 0.304042 | − | 0.195396i | ||||
\(907\) | 1.99604 | − | 13.8828i | 0.0662775 | − | 0.460970i | −0.929474 | − | 0.368888i | \(-0.879739\pi\) |
0.995751 | − | 0.0920822i | \(-0.0293523\pi\) | |||||||
\(908\) | −4.09463 | + | 8.96599i | −0.135885 | + | 0.297547i | ||||
\(909\) | −0.950141 | + | 2.08052i | −0.0315142 | + | 0.0690064i | ||||
\(910\) | 3.09414 | − | 21.5202i | 0.102570 | − | 0.713389i | ||||
\(911\) | 18.4675 | − | 11.8683i | 0.611854 | − | 0.393215i | −0.197698 | − | 0.980263i | \(-0.563346\pi\) |
0.809552 | + | 0.587048i | \(0.199710\pi\) | |||||||
\(912\) | −4.04228 | − | 1.18692i | −0.133853 | − | 0.0393029i | ||||
\(913\) | −1.90955 | − | 13.2812i | −0.0631970 | − | 0.439545i | ||||
\(914\) | −8.45822 | − | 9.76131i | −0.279773 | − | 0.322875i | ||||
\(915\) | 7.12759 | + | 4.58062i | 0.235631 | + | 0.151431i | ||||
\(916\) | −6.07988 | + | 7.01655i | −0.200885 | + | 0.231833i | ||||
\(917\) | 70.8598 | − | 20.8063i | 2.34000 | − | 0.687085i | ||||
\(918\) | 1.37367 | + | 3.00791i | 0.0453377 | + | 0.0992757i | ||||
\(919\) | −54.3659 | −1.79337 | −0.896683 | − | 0.442673i | \(-0.854030\pi\) | ||||
−0.896683 | + | 0.442673i | \(0.854030\pi\) | |||||||
\(920\) | 4.75924 | − | 0.591308i | 0.156907 | − | 0.0194949i | ||||
\(921\) | 6.43046 | 0.211891 | ||||||||
\(922\) | −4.99113 | − | 10.9290i | −0.164374 | − | 0.359929i | ||||
\(923\) | 53.2021 | − | 15.6216i | 1.75117 | − | 0.514190i | ||||
\(924\) | 4.41116 | − | 5.09075i | 0.145117 | − | 0.167473i | ||||
\(925\) | −9.64008 | − | 6.19530i | −0.316964 | − | 0.203700i | ||||
\(926\) | −0.468715 | − | 0.540927i | −0.0154029 | − | 0.0177759i | ||||
\(927\) | 0.0153966 | + | 0.107086i | 0.000505691 | + | 0.00351716i | ||||
\(928\) | −2.95032 | − | 0.866293i | −0.0968491 | − | 0.0284375i | ||||
\(929\) | −8.75811 | + | 5.62850i | −0.287344 | + | 0.184665i | −0.676370 | − | 0.736562i | \(-0.736448\pi\) |
0.389026 | + | 0.921227i | \(0.372812\pi\) | |||||||
\(930\) | −1.39916 | + | 9.73134i | −0.0458801 | + | 0.319103i | ||||
\(931\) | −26.3137 | + | 57.6189i | −0.862396 | + | 1.88838i | ||||
\(932\) | 9.76680 | − | 21.3863i | 0.319922 | − | 0.700532i | ||||
\(933\) | 0.761092 | − | 5.29351i | 0.0249170 | − | 0.173302i | ||||
\(934\) | −2.75691 | + | 1.77176i | −0.0902088 | + | 0.0579736i | ||||
\(935\) | 4.55286 | + | 1.33684i | 0.148895 | + | 0.0437194i | ||||
\(936\) | 0.659144 | + | 4.58445i | 0.0215448 | + | 0.149847i | ||||
\(937\) | −1.87210 | − | 2.16052i | −0.0611588 | − | 0.0705810i | 0.724346 | − | 0.689437i | \(-0.242142\pi\) |
−0.785505 | + | 0.618856i | \(0.787596\pi\) | |||||||
\(938\) | −46.9581 | − | 30.1781i | −1.53324 | − | 0.985352i | ||||
\(939\) | 15.4242 | − | 17.8004i | 0.503349 | − | 0.580895i | ||||
\(940\) | −0.283153 | + | 0.0831412i | −0.00923543 | + | 0.00271177i | ||||
\(941\) | −0.525311 | − | 1.15027i | −0.0171246 | − | 0.0374977i | 0.900876 | − | 0.434076i | \(-0.142925\pi\) |
−0.918001 | + | 0.396578i | \(0.870198\pi\) | |||||||
\(942\) | −15.6134 | −0.508711 | ||||||||
\(943\) | −13.4316 | + | 5.82517i | −0.437392 | + | 0.189694i | ||||
\(944\) | −14.7213 | −0.479138 | ||||||||
\(945\) | −1.95003 | − | 4.26998i | −0.0634346 | − | 0.138902i | ||||
\(946\) | −5.91019 | + | 1.73539i | −0.192157 | + | 0.0564224i | ||||
\(947\) | 37.1522 | − | 42.8759i | 1.20728 | − | 1.39328i | 0.310639 | − | 0.950528i | \(-0.399457\pi\) |
0.896645 | − | 0.442751i | \(-0.145997\pi\) | |||||||
\(948\) | −11.5558 | − | 7.42646i | −0.375315 | − | 0.241200i | ||||
\(949\) | −25.9584 | − | 29.9575i | −0.842644 | − | 0.972463i | ||||
\(950\) | 0.599564 | + | 4.17006i | 0.0194524 | + | 0.135294i | ||||
\(951\) | −11.1321 | − | 3.26869i | −0.360984 | − | 0.105995i | ||||
\(952\) | −13.0583 | + | 8.39204i | −0.423221 | + | 0.271988i | ||||
\(953\) | 2.93928 | − | 20.4431i | 0.0952126 | − | 0.662218i | −0.885192 | − | 0.465225i | \(-0.845973\pi\) |
0.980405 | − | 0.196993i | \(-0.0631176\pi\) | |||||||
\(954\) | −5.58215 | + | 12.2232i | −0.180729 | + | 0.395741i | ||||
\(955\) | 5.39899 | − | 11.8221i | 0.174707 | − | 0.382555i | ||||
\(956\) | −0.351100 | + | 2.44196i | −0.0113554 | + | 0.0789785i | ||||
\(957\) | −3.71192 | + | 2.38551i | −0.119989 | + | 0.0771124i | ||||
\(958\) | 12.0507 | + | 3.53841i | 0.389341 | + | 0.114321i | ||||
\(959\) | 2.72839 | + | 18.9764i | 0.0881043 | + | 0.612779i | ||||
\(960\) | 0.654861 | + | 0.755750i | 0.0211355 | + | 0.0243917i | ||||
\(961\) | 55.2339 | + | 35.4967i | 1.78174 | + | 1.14505i | ||||
\(962\) | −34.7562 | + | 40.1108i | −1.12059 | + | 1.29323i | ||||
\(963\) | 11.6565 | − | 3.42266i | 0.375626 | − | 0.110294i | ||||
\(964\) | −2.77875 | − | 6.08462i | −0.0894976 | − | 0.195972i | ||||
\(965\) | −8.94299 | −0.287885 | ||||||||
\(966\) | 5.92688 | + | 21.7183i | 0.190694 | + | 0.698776i | ||||
\(967\) | −43.0077 | −1.38303 | −0.691517 | − | 0.722360i | \(-0.743057\pi\) | ||||
−0.691517 | + | 0.722360i | \(0.743057\pi\) | |||||||
\(968\) | −3.71416 | − | 8.13288i | −0.119378 | − | 0.261401i | ||||
\(969\) | 13.3667 | − | 3.92483i | 0.429402 | − | 0.126084i | ||||
\(970\) | 6.75242 | − | 7.79271i | 0.216807 | − | 0.250209i | ||||
\(971\) | −8.01856 | − | 5.15322i | −0.257328 | − | 0.165375i | 0.405616 | − | 0.914043i | \(-0.367057\pi\) |
−0.662944 | + | 0.748669i | \(0.730693\pi\) | |||||||
\(972\) | 0.654861 | + | 0.755750i | 0.0210047 | + | 0.0242407i | ||||
\(973\) | 2.92433 | + | 20.3392i | 0.0937497 | + | 0.652044i | ||||
\(974\) | −1.04575 | − | 0.307059i | −0.0335079 | − | 0.00983881i | ||||
\(975\) | 3.89634 | − | 2.50403i | 0.124783 | − | 0.0801931i | ||||
\(976\) | 1.20577 | − | 8.38634i | 0.0385959 | − | 0.268440i | ||||
\(977\) | −12.6895 | + | 27.7862i | −0.405974 | + | 0.888959i | 0.590656 | + | 0.806924i | \(0.298869\pi\) |
−0.996629 | + | 0.0820351i | \(0.973858\pi\) | |||||||
\(978\) | −4.17031 | + | 9.13171i | −0.133352 | + | 0.292000i | ||||
\(979\) | −1.13602 | + | 7.90120i | −0.0363074 | + | 0.252523i | ||||
\(980\) | 12.6486 | − | 8.12874i | 0.404043 | − | 0.259663i | ||||
\(981\) | −0.808846 | − | 0.237499i | −0.0258245 | − | 0.00758275i | ||||
\(982\) | 2.39958 | + | 16.6895i | 0.0765738 | + | 0.532582i | ||||
\(983\) | −37.2175 | − | 42.9513i | −1.18706 | − | 1.36993i | −0.912866 | − | 0.408259i | \(-0.866136\pi\) |
−0.274189 | − | 0.961676i | \(-0.588409\pi\) | |||||||
\(984\) | −2.56811 | − | 1.65043i | −0.0818684 | − | 0.0526136i | ||||
\(985\) | 6.96651 | − | 8.03978i | 0.221971 | − | 0.256169i | ||||
\(986\) | 9.75592 | − | 2.86460i | 0.310692 | − | 0.0912273i | ||||
\(987\) | −0.575468 | − | 1.26010i | −0.0183174 | − | 0.0401094i | ||||
\(988\) | 19.5126 | 0.620779 | ||||||||
\(989\) | 6.17779 | − | 19.6376i | 0.196442 | − | 0.624438i | ||||
\(990\) | 1.43497 | 0.0456065 | ||||||||
\(991\) | 1.07583 | + | 2.35575i | 0.0341750 | + | 0.0748328i | 0.925950 | − | 0.377647i | \(-0.123267\pi\) |
−0.891775 | + | 0.452480i | \(0.850539\pi\) | |||||||
\(992\) | 9.43317 | − | 2.76983i | 0.299503 | − | 0.0879422i | ||||
\(993\) | 12.9236 | − | 14.9146i | 0.410117 | − | 0.473301i | ||||
\(994\) | 47.2764 | + | 30.3827i | 1.49952 | + | 0.963680i | ||||
\(995\) | −16.6464 | − | 19.2109i | −0.527726 | − | 0.609028i | ||||
\(996\) | 1.33072 | + | 9.25539i | 0.0421656 | + | 0.293268i | ||||
\(997\) | 30.4012 | + | 8.92659i | 0.962815 | + | 0.282708i | 0.725113 | − | 0.688630i | \(-0.241788\pi\) |
0.237702 | + | 0.971338i | \(0.423606\pi\) | |||||||
\(998\) | 33.6394 | − | 21.6187i | 1.06484 | − | 0.684329i | ||||
\(999\) | −1.63081 | + | 11.3425i | −0.0515966 | + | 0.358862i |
(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.m.c.211.1 | yes | 20 | |
23.6 | even | 11 | inner | 690.2.m.c.121.1 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.c.121.1 | ✓ | 20 | 23.6 | even | 11 | inner | |
690.2.m.c.211.1 | yes | 20 | 1.1 | even | 1 | trivial |