Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(29,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.o (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.11 | ||
Character | \(\chi\) | \(=\) | 200.29 |
Dual form | 200.2.o.a.69.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.556118 | + | 1.30028i | −0.393234 | + | 0.919438i | ||||
\(3\) | −0.0988780 | − | 0.0718391i | −0.0570872 | − | 0.0414763i | 0.558876 | − | 0.829251i | \(-0.311233\pi\) |
−0.615963 | + | 0.787775i | \(0.711233\pi\) | |||||||
\(4\) | −1.38147 | − | 1.44622i | −0.690733 | − | 0.723110i | ||||
\(5\) | 2.13827 | − | 0.654056i | 0.956265 | − | 0.292503i | ||||
\(6\) | 0.148399 | − | 0.0886183i | 0.0605836 | − | 0.0361783i | ||||
\(7\) | − | 4.12326i | − | 1.55844i | −0.626748 | − | 0.779222i | \(-0.715614\pi\) | ||
0.626748 | − | 0.779222i | \(-0.284386\pi\) | |||||||
\(8\) | 2.64875 | − | 0.992028i | 0.936475 | − | 0.350735i | ||||
\(9\) | −0.922435 | − | 2.83896i | −0.307478 | − | 0.946321i | ||||
\(10\) | −0.338674 | + | 3.14409i | −0.107098 | + | 0.994248i | ||||
\(11\) | −0.296291 | − | 0.0962708i | −0.0893351 | − | 0.0290267i | 0.264008 | − | 0.964520i | \(-0.414955\pi\) |
−0.353344 | + | 0.935494i | \(0.614955\pi\) | |||||||
\(12\) | 0.0327016 | + | 0.242243i | 0.00944014 | + | 0.0699294i | ||||
\(13\) | 1.32691 | + | 4.08381i | 0.368019 | + | 1.13264i | 0.948069 | + | 0.318064i | \(0.103033\pi\) |
−0.580050 | + | 0.814581i | \(0.696967\pi\) | |||||||
\(14\) | 5.36140 | + | 2.29302i | 1.43289 | + | 0.612834i | ||||
\(15\) | −0.258415 | − | 0.0889398i | −0.0667224 | − | 0.0229642i | ||||
\(16\) | −0.183100 | + | 3.99581i | −0.0457750 | + | 0.998952i | ||||
\(17\) | 1.48123 | + | 2.03874i | 0.359252 | + | 0.494468i | 0.949940 | − | 0.312432i | \(-0.101144\pi\) |
−0.590688 | + | 0.806900i | \(0.701144\pi\) | |||||||
\(18\) | 4.20443 | + | 0.379371i | 0.990995 | + | 0.0894187i | ||||
\(19\) | −2.96240 | − | 4.07740i | −0.679622 | − | 0.935419i | 0.320308 | − | 0.947314i | \(-0.396214\pi\) |
−0.999929 | + | 0.0118946i | \(0.996214\pi\) | |||||||
\(20\) | −3.89986 | − | 2.18885i | −0.872035 | − | 0.489443i | ||||
\(21\) | −0.296211 | + | 0.407699i | −0.0646385 | + | 0.0889673i | ||||
\(22\) | 0.289952 | − | 0.331724i | 0.0618179 | − | 0.0707238i | ||||
\(23\) | 6.06625 | + | 1.97104i | 1.26490 | + | 0.410991i | 0.863238 | − | 0.504797i | \(-0.168433\pi\) |
0.401662 | + | 0.915788i | \(0.368433\pi\) | |||||||
\(24\) | −0.333170 | − | 0.0921940i | −0.0680079 | − | 0.0188190i | ||||
\(25\) | 4.14442 | − | 2.79710i | 0.828884 | − | 0.559420i | ||||
\(26\) | −6.04802 | − | 0.545721i | −1.18611 | − | 0.107025i | ||||
\(27\) | −0.226044 | + | 0.695692i | −0.0435022 | + | 0.133886i | ||||
\(28\) | −5.96313 | + | 5.69614i | −1.12693 | + | 1.07647i | ||||
\(29\) | −0.365173 | + | 0.502617i | −0.0678109 | + | 0.0933337i | −0.841575 | − | 0.540140i | \(-0.818371\pi\) |
0.773764 | + | 0.633473i | \(0.218371\pi\) | |||||||
\(30\) | 0.259356 | − | 0.286551i | 0.0473517 | − | 0.0523169i | ||||
\(31\) | −5.55444 | + | 4.03554i | −0.997607 | + | 0.724804i | −0.961574 | − | 0.274547i | \(-0.911472\pi\) |
−0.0360329 | + | 0.999351i | \(0.511472\pi\) | |||||||
\(32\) | −5.09385 | − | 2.46022i | −0.900474 | − | 0.434910i | ||||
\(33\) | 0.0223807 | + | 0.0308043i | 0.00389597 | + | 0.00536235i | ||||
\(34\) | −3.47468 | + | 0.792241i | −0.595903 | + | 0.135868i | ||||
\(35\) | −2.69684 | − | 8.81665i | −0.455849 | − | 1.49029i | ||||
\(36\) | −2.83145 | + | 5.25598i | −0.471908 | + | 0.875996i | ||||
\(37\) | 2.65457 | + | 8.16992i | 0.436408 | + | 1.34313i | 0.891637 | + | 0.452751i | \(0.149557\pi\) |
−0.455229 | + | 0.890374i | \(0.650443\pi\) | |||||||
\(38\) | 6.94921 | − | 1.58445i | 1.12731 | − | 0.257031i | ||||
\(39\) | 0.162175 | − | 0.499123i | 0.0259688 | − | 0.0799236i | ||||
\(40\) | 5.01491 | − | 3.85366i | 0.792927 | − | 0.609317i | ||||
\(41\) | −1.64354 | − | 5.05830i | −0.256678 | − | 0.789974i | −0.993494 | − | 0.113881i | \(-0.963672\pi\) |
0.736816 | − | 0.676093i | \(-0.236328\pi\) | |||||||
\(42\) | −0.365396 | − | 0.611887i | −0.0563818 | − | 0.0944161i | ||||
\(43\) | −2.23204 | −0.340382 | −0.170191 | − | 0.985411i | \(-0.554439\pi\) | ||||
−0.170191 | + | 0.985411i | \(0.554439\pi\) | |||||||
\(44\) | 0.270087 | + | 0.561497i | 0.0407172 | + | 0.0846488i | ||||
\(45\) | −3.82926 | − | 5.46715i | −0.570832 | − | 0.814995i | ||||
\(46\) | −5.93646 | + | 6.79170i | −0.875283 | + | 1.00138i | ||||
\(47\) | 3.74794 | − | 5.15860i | 0.546693 | − | 0.752459i | −0.442866 | − | 0.896588i | \(-0.646038\pi\) |
0.989559 | + | 0.144129i | \(0.0460381\pi\) | |||||||
\(48\) | 0.305160 | − | 0.381944i | 0.0440460 | − | 0.0551288i | ||||
\(49\) | −10.0013 | −1.42875 | ||||||||
\(50\) | 1.33223 | + | 6.94443i | 0.188406 | + | 0.982091i | ||||
\(51\) | − | 0.307997i | − | 0.0431283i | ||||||
\(52\) | 4.07300 | − | 7.56065i | 0.564824 | − | 1.04847i | ||||
\(53\) | −3.81243 | − | 2.76989i | −0.523678 | − | 0.380474i | 0.294310 | − | 0.955710i | \(-0.404910\pi\) |
−0.817988 | + | 0.575236i | \(0.804910\pi\) | |||||||
\(54\) | −0.778889 | − | 0.680807i | −0.105993 | − | 0.0926462i | ||||
\(55\) | −0.696517 | − | 0.0120623i | −0.0939184 | − | 0.00162648i | ||||
\(56\) | −4.09039 | − | 10.9215i | −0.546601 | − | 1.45944i | ||||
\(57\) | 0.615981i | 0.0815887i | ||||||||
\(58\) | −0.450465 | − | 0.754342i | −0.0591490 | − | 0.0990500i | ||||
\(59\) | −2.59396 | + | 0.842829i | −0.337705 | + | 0.109727i | −0.472960 | − | 0.881084i | \(-0.656815\pi\) |
0.135255 | + | 0.990811i | \(0.456815\pi\) | |||||||
\(60\) | 0.228365 | + | 0.496592i | 0.0294818 | + | 0.0641097i | ||||
\(61\) | 12.9582 | + | 4.21037i | 1.65913 | + | 0.539082i | 0.980688 | − | 0.195576i | \(-0.0626577\pi\) |
0.678437 | + | 0.734659i | \(0.262658\pi\) | |||||||
\(62\) | −2.15841 | − | 9.46657i | −0.274119 | − | 1.20226i | ||||
\(63\) | −11.7058 | + | 3.80344i | −1.47479 | + | 0.479188i | ||||
\(64\) | 6.03176 | − | 5.25527i | 0.753970 | − | 0.656909i | ||||
\(65\) | 5.50834 | + | 7.86443i | 0.683225 | + | 0.975462i | ||||
\(66\) | −0.0525006 | + | 0.0119703i | −0.00646238 | + | 0.00147345i | ||||
\(67\) | −7.91813 | + | 5.75286i | −0.967354 | + | 0.702824i | −0.954847 | − | 0.297098i | \(-0.903981\pi\) |
−0.0125070 | + | 0.999922i | \(0.503981\pi\) | |||||||
\(68\) | 0.902195 | − | 4.95865i | 0.109407 | − | 0.601324i | ||||
\(69\) | −0.458220 | − | 0.630686i | −0.0551633 | − | 0.0759257i | ||||
\(70\) | 12.9639 | + | 1.39644i | 1.54948 | + | 0.166906i | ||||
\(71\) | 6.63373 | + | 4.81969i | 0.787279 | + | 0.571992i | 0.907155 | − | 0.420797i | \(-0.138250\pi\) |
−0.119876 | + | 0.992789i | \(0.538250\pi\) | |||||||
\(72\) | −5.25963 | − | 6.60462i | −0.619854 | − | 0.778362i | ||||
\(73\) | 7.18083 | + | 2.33319i | 0.840452 | + | 0.273079i | 0.697441 | − | 0.716642i | \(-0.254322\pi\) |
0.143011 | + | 0.989721i | \(0.454322\pi\) | |||||||
\(74\) | −12.0994 | − | 1.09175i | −1.40653 | − | 0.126913i | ||||
\(75\) | −0.610733 | − | 0.0211597i | −0.0705214 | − | 0.00244332i | ||||
\(76\) | −1.80435 | + | 9.91707i | −0.206973 | + | 1.13757i | ||||
\(77\) | −0.396949 | + | 1.22168i | −0.0452366 | + | 0.139224i | ||||
\(78\) | 0.558812 | + | 0.488444i | 0.0632730 | + | 0.0553054i | ||||
\(79\) | 3.65256 | + | 2.65374i | 0.410945 | + | 0.298569i | 0.773984 | − | 0.633205i | \(-0.218261\pi\) |
−0.363040 | + | 0.931774i | \(0.618261\pi\) | |||||||
\(80\) | 2.22196 | + | 8.66388i | 0.248423 | + | 0.968652i | ||||
\(81\) | −7.17257 | + | 5.21118i | −0.796952 | + | 0.579020i | ||||
\(82\) | 7.49122 | + | 0.675942i | 0.827267 | + | 0.0746453i | ||||
\(83\) | −5.72321 | + | 4.15816i | −0.628204 | + | 0.456417i | −0.855778 | − | 0.517344i | \(-0.826921\pi\) |
0.227573 | + | 0.973761i | \(0.426921\pi\) | |||||||
\(84\) | 0.998828 | − | 0.134837i | 0.108981 | − | 0.0147119i | ||||
\(85\) | 4.50074 | + | 3.39058i | 0.488173 | + | 0.367760i | ||||
\(86\) | 1.24127 | − | 2.90228i | 0.133850 | − | 0.312960i | ||||
\(87\) | 0.0722151 | − | 0.0234641i | 0.00774227 | − | 0.00251562i | ||||
\(88\) | −0.880304 | + | 0.0389318i | −0.0938408 | + | 0.00415014i | ||||
\(89\) | −2.63206 | + | 8.10065i | −0.278998 | + | 0.858667i | 0.709136 | + | 0.705072i | \(0.249085\pi\) |
−0.988134 | + | 0.153595i | \(0.950915\pi\) | |||||||
\(90\) | 9.23836 | − | 1.93874i | 0.973809 | − | 0.204361i | ||||
\(91\) | 16.8386 | − | 5.47119i | 1.76516 | − | 0.573537i | ||||
\(92\) | −5.52976 | − | 11.4961i | −0.576517 | − | 1.19855i | ||||
\(93\) | 0.839121 | 0.0870128 | ||||||||
\(94\) | 4.62334 | + | 7.74217i | 0.476861 | + | 0.798543i | ||||
\(95\) | −9.00127 | − | 6.78101i | −0.923511 | − | 0.695717i | ||||
\(96\) | 0.326930 | + | 0.609199i | 0.0333671 | + | 0.0621761i | ||||
\(97\) | −0.465272 | + | 0.640392i | −0.0472412 | + | 0.0650220i | −0.831984 | − | 0.554799i | \(-0.812795\pi\) |
0.784743 | + | 0.619821i | \(0.212795\pi\) | |||||||
\(98\) | 5.56187 | − | 13.0044i | 0.561834 | − | 1.31365i | ||||
\(99\) | 0.929963i | 0.0934648i | ||||||||
\(100\) | −9.77060 | − | 2.12964i | −0.977060 | − | 0.212964i | ||||
\(101\) | − | 3.69351i | − | 0.367518i | −0.982971 | − | 0.183759i | \(-0.941173\pi\) | ||
0.982971 | − | 0.183759i | \(-0.0588267\pi\) | |||||||
\(102\) | 0.400484 | + | 0.171283i | 0.0396538 | + | 0.0169595i | ||||
\(103\) | −8.55853 | + | 11.7798i | −0.843297 | + | 1.16070i | 0.142003 | + | 0.989866i | \(0.454646\pi\) |
−0.985300 | + | 0.170833i | \(0.945354\pi\) | |||||||
\(104\) | 7.56591 | + | 9.50066i | 0.741898 | + | 0.931616i | ||||
\(105\) | −0.366722 | + | 1.06551i | −0.0357884 | + | 0.103983i | ||||
\(106\) | 5.72180 | − | 3.41685i | 0.555751 | − | 0.331874i | ||||
\(107\) | 16.7052 | 1.61496 | 0.807478 | − | 0.589897i | \(-0.200832\pi\) | ||||
0.807478 | + | 0.589897i | \(0.200832\pi\) | |||||||
\(108\) | 1.31840 | − | 0.634166i | 0.126863 | − | 0.0610227i | ||||
\(109\) | −13.9033 | + | 4.51745i | −1.33169 | + | 0.432693i | −0.886494 | − | 0.462739i | \(-0.846867\pi\) |
−0.445198 | + | 0.895432i | \(0.646867\pi\) | |||||||
\(110\) | 0.403030 | − | 0.898961i | 0.0384274 | − | 0.0857126i | ||||
\(111\) | 0.324441 | − | 0.998526i | 0.0307946 | − | 0.0947759i | ||||
\(112\) | 16.4757 | + | 0.754969i | 1.55681 | + | 0.0713378i | ||||
\(113\) | 10.2530 | − | 3.33141i | 0.964523 | − | 0.313393i | 0.215920 | − | 0.976411i | \(-0.430725\pi\) |
0.748603 | + | 0.663018i | \(0.230725\pi\) | |||||||
\(114\) | −0.800949 | − | 0.342558i | −0.0750157 | − | 0.0320835i | ||||
\(115\) | 14.2605 | + | 0.246963i | 1.32980 | + | 0.0230294i | ||||
\(116\) | 1.23137 | − | 0.166229i | 0.114330 | − | 0.0154340i | ||||
\(117\) | 10.3698 | − | 7.53410i | 0.958688 | − | 0.696528i | ||||
\(118\) | 0.346632 | − | 3.84159i | 0.0319100 | − | 0.353647i | ||||
\(119\) | 8.40627 | − | 6.10751i | 0.770601 | − | 0.559875i | ||||
\(120\) | −0.772707 | + | 0.0207756i | −0.0705382 | + | 0.00189654i | ||||
\(121\) | −8.82067 | − | 6.40859i | −0.801879 | − | 0.582599i | ||||
\(122\) | −12.6809 | + | 14.5078i | −1.14808 | + | 1.31348i | ||||
\(123\) | −0.200874 | + | 0.618225i | −0.0181122 | + | 0.0557435i | ||||
\(124\) | 13.5095 | + | 2.45798i | 1.21319 | + | 0.220733i | ||||
\(125\) | 7.03244 | − | 8.69165i | 0.629001 | − | 0.777405i | ||||
\(126\) | 1.56425 | − | 17.3360i | 0.139354 | − | 1.54441i | ||||
\(127\) | −2.12921 | − | 0.691823i | −0.188937 | − | 0.0613894i | 0.213020 | − | 0.977048i | \(-0.431670\pi\) |
−0.401957 | + | 0.915658i | \(0.631670\pi\) | |||||||
\(128\) | 3.47897 | + | 10.7655i | 0.307500 | + | 0.951548i | ||||
\(129\) | 0.220699 | + | 0.160347i | 0.0194315 | + | 0.0141178i | ||||
\(130\) | −13.2893 | + | 2.78885i | −1.16554 | + | 0.244598i | ||||
\(131\) | 2.08338 | + | 2.86752i | 0.182026 | + | 0.250537i | 0.890273 | − | 0.455428i | \(-0.150514\pi\) |
−0.708247 | + | 0.705965i | \(0.750514\pi\) | |||||||
\(132\) | 0.0136317 | − | 0.0749225i | 0.00118649 | − | 0.00652117i | ||||
\(133\) | −16.8122 | + | 12.2147i | −1.45780 | + | 1.05915i | ||||
\(134\) | −3.07693 | − | 13.4951i | −0.265806 | − | 1.16580i | ||||
\(135\) | −0.0283223 | + | 1.63542i | −0.00243760 | + | 0.140755i | ||||
\(136\) | 5.94591 | + | 3.93070i | 0.509858 | + | 0.337055i | ||||
\(137\) | −12.8317 | + | 4.16928i | −1.09629 | + | 0.356205i | −0.800673 | − | 0.599102i | \(-0.795524\pi\) |
−0.295614 | + | 0.955307i | \(0.595524\pi\) | |||||||
\(138\) | 1.07489 | − | 0.245080i | 0.0915011 | − | 0.0208626i | ||||
\(139\) | −9.64111 | − | 3.13259i | −0.817749 | − | 0.265703i | −0.129872 | − | 0.991531i | \(-0.541457\pi\) |
−0.687876 | + | 0.725828i | \(0.741457\pi\) | |||||||
\(140\) | −9.02521 | + | 16.0801i | −0.762770 | + | 1.35902i | ||||
\(141\) | −0.741178 | + | 0.240823i | −0.0624184 | + | 0.0202810i | ||||
\(142\) | −9.95608 | + | 5.94541i | −0.835496 | + | 0.498927i | ||||
\(143\) | − | 1.33774i | − | 0.111867i | ||||||
\(144\) | 11.5128 | − | 3.16606i | 0.959404 | − | 0.263838i | ||||
\(145\) | −0.452099 | + | 1.31358i | −0.0375448 | + | 0.109087i | ||||
\(146\) | −7.02719 | + | 8.03957i | −0.581574 | + | 0.665359i | ||||
\(147\) | 0.988904 | + | 0.718481i | 0.0815634 | + | 0.0592593i | ||||
\(148\) | 8.14829 | − | 15.1256i | 0.669786 | − | 1.24331i | ||||
\(149\) | − | 14.3531i | − | 1.17585i | −0.808916 | − | 0.587925i | \(-0.799945\pi\) | ||
0.808916 | − | 0.587925i | \(-0.200055\pi\) | |||||||
\(150\) | 0.367153 | − | 0.782358i | 0.0299779 | − | 0.0638793i | ||||
\(151\) | 14.4342 | 1.17464 | 0.587321 | − | 0.809354i | \(-0.300183\pi\) | ||||
0.587321 | + | 0.809354i | \(0.300183\pi\) | |||||||
\(152\) | −11.8916 | − | 7.86122i | −0.964533 | − | 0.637629i | ||||
\(153\) | 4.42158 | − | 6.08578i | 0.357463 | − | 0.492006i | ||||
\(154\) | −1.36778 | − | 1.19555i | −0.110219 | − | 0.0963398i | ||||
\(155\) | −9.23744 | + | 12.2620i | −0.741969 | + | 0.984907i | ||||
\(156\) | −0.945880 | + | 0.454981i | −0.0757310 | + | 0.0364276i | ||||
\(157\) | −19.2873 | −1.53930 | −0.769648 | − | 0.638469i | \(-0.779568\pi\) | ||||
−0.769648 | + | 0.638469i | \(0.779568\pi\) | |||||||
\(158\) | −5.48186 | + | 3.27356i | −0.436113 | + | 0.260431i | ||||
\(159\) | 0.177979 | + | 0.547763i | 0.0141147 | + | 0.0434404i | ||||
\(160\) | −12.5012 | − | 1.92896i | −0.988304 | − | 0.152498i | ||||
\(161\) | 8.12712 | − | 25.0127i | 0.640507 | − | 1.97128i | ||||
\(162\) | −2.78721 | − | 12.2244i | −0.218984 | − | 0.960439i | ||||
\(163\) | 2.83773 | + | 8.73364i | 0.222268 | + | 0.684072i | 0.998557 | + | 0.0536946i | \(0.0170997\pi\) |
−0.776289 | + | 0.630377i | \(0.782900\pi\) | |||||||
\(164\) | −5.04492 | + | 9.36480i | −0.393942 | + | 0.731268i | ||||
\(165\) | 0.0680037 | + | 0.0512299i | 0.00529408 | + | 0.00398824i | ||||
\(166\) | −2.22400 | − | 9.75421i | −0.172616 | − | 0.757074i | ||||
\(167\) | 5.19807 | + | 7.15453i | 0.402239 | + | 0.553634i | 0.961304 | − | 0.275489i | \(-0.0888399\pi\) |
−0.559065 | + | 0.829124i | \(0.688840\pi\) | |||||||
\(168\) | −0.380140 | + | 1.37374i | −0.0293284 | + | 0.105987i | ||||
\(169\) | −4.39959 | + | 3.19649i | −0.338430 | + | 0.245884i | ||||
\(170\) | −6.91165 | + | 3.96667i | −0.530099 | + | 0.304229i | ||||
\(171\) | −8.84296 | + | 12.1713i | −0.676238 | + | 0.930761i | ||||
\(172\) | 3.08348 | + | 3.22801i | 0.235113 | + | 0.246134i | ||||
\(173\) | 4.05868 | − | 12.4913i | 0.308576 | − | 0.949698i | −0.669743 | − | 0.742593i | \(-0.733596\pi\) |
0.978319 | − | 0.207105i | \(-0.0664042\pi\) | |||||||
\(174\) | −0.00965013 | + | 0.106949i | −0.000731574 | + | 0.00810777i | ||||
\(175\) | −11.5332 | − | 17.0885i | −0.871825 | − | 1.29177i | ||||
\(176\) | 0.438930 | − | 1.16629i | 0.0330856 | − | 0.0879128i | ||||
\(177\) | 0.317034 | + | 0.103011i | 0.0238297 | + | 0.00774274i | ||||
\(178\) | −9.06939 | − | 7.92733i | −0.679780 | − | 0.594179i | ||||
\(179\) | 0.375298 | − | 0.516553i | 0.0280511 | − | 0.0386090i | −0.794761 | − | 0.606922i | \(-0.792404\pi\) |
0.822812 | + | 0.568313i | \(0.192404\pi\) | |||||||
\(180\) | −2.61671 | + | 13.0906i | −0.195038 | + | 0.975718i | ||||
\(181\) | −11.7000 | − | 16.1037i | −0.869656 | − | 1.19698i | −0.979180 | − | 0.202995i | \(-0.934932\pi\) |
0.109523 | − | 0.993984i | \(-0.465068\pi\) | |||||||
\(182\) | −2.25015 | + | 24.9376i | −0.166792 | + | 1.84849i | ||||
\(183\) | −0.978810 | − | 1.34722i | −0.0723557 | − | 0.0995891i | ||||
\(184\) | 18.0233 | − | 0.797087i | 1.32870 | − | 0.0587620i | ||||
\(185\) | 11.0198 | + | 15.7333i | 0.810190 | + | 1.15673i | ||||
\(186\) | −0.466650 | + | 1.09109i | −0.0342164 | + | 0.0800029i | ||||
\(187\) | −0.242605 | − | 0.746661i | −0.0177410 | − | 0.0546013i | ||||
\(188\) | −12.6381 | + | 1.70609i | −0.921729 | + | 0.124429i | ||||
\(189\) | 2.86852 | + | 0.932038i | 0.208654 | + | 0.0677958i | ||||
\(190\) | 13.8230 | − | 7.93315i | 1.00283 | − | 0.575531i | ||||
\(191\) | 5.61154 | + | 17.2706i | 0.406037 | + | 1.24965i | 0.920026 | + | 0.391857i | \(0.128167\pi\) |
−0.513989 | + | 0.857797i | \(0.671833\pi\) | |||||||
\(192\) | −0.973942 | + | 0.0863147i | −0.0702882 | + | 0.00622923i | ||||
\(193\) | − | 16.2523i | − | 1.16986i | −0.811083 | − | 0.584932i | \(-0.801121\pi\) | ||
0.811083 | − | 0.584932i | \(-0.198879\pi\) | |||||||
\(194\) | −0.573945 | − | 0.961119i | −0.0412068 | − | 0.0690043i | ||||
\(195\) | 0.0203198 | − | 1.17333i | 0.00145513 | − | 0.0840241i | ||||
\(196\) | 13.8164 | + | 14.4640i | 0.986885 | + | 1.03314i | ||||
\(197\) | 9.32654 | + | 6.77613i | 0.664488 | + | 0.482779i | 0.868176 | − | 0.496257i | \(-0.165293\pi\) |
−0.203687 | + | 0.979036i | \(0.565293\pi\) | |||||||
\(198\) | −1.20921 | − | 0.517169i | −0.0859351 | − | 0.0367536i | ||||
\(199\) | 14.9527 | 1.05997 | 0.529983 | − | 0.848008i | \(-0.322198\pi\) | ||||
0.529983 | + | 0.848008i | \(0.322198\pi\) | |||||||
\(200\) | 8.20274 | − | 11.5202i | 0.580021 | − | 0.814601i | ||||
\(201\) | 1.19621 | 0.0843741 | ||||||||
\(202\) | 4.80261 | + | 2.05403i | 0.337911 | + | 0.144521i | ||||
\(203\) | 2.07242 | + | 1.50570i | 0.145455 | + | 0.105680i | ||||
\(204\) | −0.445432 | + | 0.425488i | −0.0311865 | + | 0.0297901i | ||||
\(205\) | −6.82275 | − | 9.74106i | −0.476522 | − | 0.680345i | ||||
\(206\) | −10.5575 | − | 17.6795i | −0.735578 | − | 1.23179i | ||||
\(207\) | − | 19.0400i | − | 1.32337i | ||||||
\(208\) | −16.5611 | + | 4.55433i | −1.14830 | + | 0.315786i | ||||
\(209\) | 0.485199 | + | 1.49329i | 0.0335619 | + | 0.103293i | ||||
\(210\) | −1.18152 | − | 1.06939i | −0.0815329 | − | 0.0737950i | ||||
\(211\) | 2.07919 | + | 0.675570i | 0.143137 | + | 0.0465082i | 0.379710 | − | 0.925106i | \(-0.376024\pi\) |
−0.236572 | + | 0.971614i | \(0.576024\pi\) | |||||||
\(212\) | 1.26087 | + | 9.34013i | 0.0865972 | + | 0.641483i | ||||
\(213\) | −0.309688 | − | 0.953122i | −0.0212195 | − | 0.0653068i | ||||
\(214\) | −9.29008 | + | 21.7215i | −0.635057 | + | 1.48485i | ||||
\(215\) | −4.77270 | + | 1.45988i | −0.325496 | + | 0.0995627i | ||||
\(216\) | 0.0914119 | + | 2.06696i | 0.00621979 | + | 0.140639i | ||||
\(217\) | 16.6396 | + | 22.9024i | 1.12957 | + | 1.55471i | ||||
\(218\) | 1.85790 | − | 20.5904i | 0.125833 | − | 1.39456i | ||||
\(219\) | −0.542411 | − | 0.746565i | −0.0366528 | − | 0.0504482i | ||||
\(220\) | 0.944771 | + | 1.02398i | 0.0636964 | + | 0.0690368i | ||||
\(221\) | −6.36038 | + | 8.75431i | −0.427845 | + | 0.588879i | ||||
\(222\) | 1.11794 | + | 0.977163i | 0.0750311 | + | 0.0655829i | ||||
\(223\) | −18.9624 | − | 6.16124i | −1.26981 | − | 0.412587i | −0.404832 | − | 0.914391i | \(-0.632670\pi\) |
−0.864981 | + | 0.501804i | \(0.832670\pi\) | |||||||
\(224\) | −10.1441 | + | 21.0033i | −0.677783 | + | 1.40334i | ||||
\(225\) | −11.7638 | − | 9.18572i | −0.784255 | − | 0.612381i | ||||
\(226\) | −1.37011 | + | 15.1845i | −0.0911386 | + | 1.01006i | ||||
\(227\) | −3.46276 | + | 10.6573i | −0.229832 | + | 0.707349i | 0.767933 | + | 0.640530i | \(0.221285\pi\) |
−0.997765 | + | 0.0668195i | \(0.978715\pi\) | |||||||
\(228\) | 0.890844 | − | 0.850957i | 0.0589976 | − | 0.0563560i | ||||
\(229\) | 4.28891 | − | 5.90318i | 0.283419 | − | 0.390093i | −0.643444 | − | 0.765494i | \(-0.722495\pi\) |
0.926863 | + | 0.375401i | \(0.122495\pi\) | |||||||
\(230\) | −8.25162 | + | 18.4053i | −0.544095 | + | 1.21361i | ||||
\(231\) | 0.127014 | − | 0.0922812i | 0.00835692 | − | 0.00607166i | ||||
\(232\) | −0.468641 | + | 1.69357i | −0.0307678 | + | 0.111188i | ||||
\(233\) | −6.79487 | − | 9.35234i | −0.445147 | − | 0.612692i | 0.526199 | − | 0.850361i | \(-0.323617\pi\) |
−0.971346 | + | 0.237669i | \(0.923617\pi\) | |||||||
\(234\) | 4.02963 | + | 17.6735i | 0.263425 | + | 1.15535i | ||||
\(235\) | 4.64011 | − | 13.4819i | 0.302687 | − | 0.879459i | ||||
\(236\) | 4.80239 | + | 2.58710i | 0.312609 | + | 0.168406i | ||||
\(237\) | −0.170515 | − | 0.524792i | −0.0110762 | − | 0.0340889i | ||||
\(238\) | 3.26661 | + | 14.3270i | 0.211743 | + | 0.928682i | ||||
\(239\) | −0.177923 | + | 0.547590i | −0.0115089 | + | 0.0354207i | −0.956646 | − | 0.291253i | \(-0.905928\pi\) |
0.945137 | + | 0.326674i | \(0.105928\pi\) | |||||||
\(240\) | 0.402702 | − | 1.01629i | 0.0259943 | − | 0.0656013i | ||||
\(241\) | 0.273524 | + | 0.841820i | 0.0176192 | + | 0.0542264i | 0.959480 | − | 0.281778i | \(-0.0909242\pi\) |
−0.941860 | + | 0.336005i | \(0.890924\pi\) | |||||||
\(242\) | 13.2383 | − | 7.90543i | 0.850990 | − | 0.508180i | ||||
\(243\) | 3.27806 | 0.210287 | ||||||||
\(244\) | −11.8122 | − | 24.5569i | −0.756197 | − | 1.57209i | ||||
\(245\) | −21.3854 | + | 6.54138i | −1.36626 | + | 0.417913i | ||||
\(246\) | −0.692158 | − | 0.604998i | −0.0441304 | − | 0.0385733i | ||||
\(247\) | 12.7205 | − | 17.5082i | 0.809384 | − | 1.11402i | ||||
\(248\) | −10.7090 | + | 16.1993i | −0.680019 | + | 1.02866i | ||||
\(249\) | 0.864618 | 0.0547929 | ||||||||
\(250\) | 7.39073 | + | 13.9777i | 0.467431 | + | 0.884030i | ||||
\(251\) | − | 10.4673i | − | 0.660692i | −0.943860 | − | 0.330346i | \(-0.892835\pi\) | ||
0.943860 | − | 0.330346i | \(-0.107165\pi\) | |||||||
\(252\) | 21.6717 | + | 11.6748i | 1.36519 | + | 0.735443i | ||||
\(253\) | −1.60762 | − | 1.16800i | −0.101070 | − | 0.0734318i | ||||
\(254\) | 2.08366 | − | 2.38384i | 0.130740 | − | 0.149576i | ||||
\(255\) | −0.201448 | − | 0.658583i | −0.0126151 | − | 0.0412420i | ||||
\(256\) | −15.9329 | − | 1.46327i | −0.995809 | − | 0.0914541i | ||||
\(257\) | 17.6103i | 1.09850i | 0.835658 | + | 0.549250i | \(0.185086\pi\) | ||||
−0.835658 | + | 0.549250i | \(0.814914\pi\) | |||||||
\(258\) | −0.331231 | + | 0.197799i | −0.0206216 | + | 0.0123144i | ||||
\(259\) | 33.6867 | − | 10.9455i | 2.09319 | − | 0.680118i | ||||
\(260\) | 3.76410 | − | 18.8307i | 0.233440 | − | 1.16783i | ||||
\(261\) | 1.76376 | + | 0.573081i | 0.109174 | + | 0.0354728i | ||||
\(262\) | −4.88719 | + | 1.11430i | −0.301932 | + | 0.0688416i | ||||
\(263\) | 20.7083 | − | 6.72853i | 1.27693 | − | 0.414899i | 0.409430 | − | 0.912341i | \(-0.365727\pi\) |
0.867497 | + | 0.497442i | \(0.165727\pi\) | |||||||
\(264\) | 0.0898395 | + | 0.0593907i | 0.00552924 | + | 0.00365525i | ||||
\(265\) | −9.96369 | − | 3.42925i | −0.612064 | − | 0.210657i | ||||
\(266\) | −6.53308 | − | 28.6534i | −0.400569 | − | 1.75685i | ||||
\(267\) | 0.842196 | − | 0.611891i | 0.0515416 | − | 0.0374471i | ||||
\(268\) | 19.2585 | + | 3.50397i | 1.17640 | + | 0.214039i | ||||
\(269\) | 7.13157 | + | 9.81576i | 0.434819 | + | 0.598477i | 0.969051 | − | 0.246861i | \(-0.0793990\pi\) |
−0.534232 | + | 0.845338i | \(0.679399\pi\) | |||||||
\(270\) | −2.11076 | − | 0.946315i | −0.128457 | − | 0.0575909i | ||||
\(271\) | −12.7055 | − | 9.23111i | −0.771806 | − | 0.560750i | 0.130702 | − | 0.991422i | \(-0.458277\pi\) |
−0.902509 | + | 0.430672i | \(0.858277\pi\) | |||||||
\(272\) | −8.41764 | + | 5.54543i | −0.510395 | + | 0.336241i | ||||
\(273\) | −2.05801 | − | 0.668689i | −0.124557 | − | 0.0404709i | ||||
\(274\) | 1.71471 | − | 19.0034i | 0.103589 | − | 1.14804i | ||||
\(275\) | −1.49723 | + | 0.429769i | −0.0902866 | + | 0.0259160i | ||||
\(276\) | −0.279094 | + | 1.53396i | −0.0167995 | + | 0.0923335i | ||||
\(277\) | −0.720234 | + | 2.21665i | −0.0432747 | + | 0.133186i | −0.970360 | − | 0.241666i | \(-0.922306\pi\) |
0.927085 | + | 0.374851i | \(0.122306\pi\) | |||||||
\(278\) | 9.43484 | − | 10.7941i | 0.565864 | − | 0.647386i | ||||
\(279\) | 16.5803 | + | 12.0463i | 0.992639 | + | 0.721195i | ||||
\(280\) | −15.8896 | − | 20.6778i | −0.949587 | − | 1.23573i | ||||
\(281\) | 11.0233 | − | 8.00887i | 0.657592 | − | 0.477769i | −0.208257 | − | 0.978074i | \(-0.566779\pi\) |
0.865849 | + | 0.500305i | \(0.166779\pi\) | |||||||
\(282\) | 0.0990438 | − | 1.09767i | 0.00589797 | − | 0.0653650i | ||||
\(283\) | 3.22475 | − | 2.34292i | 0.191691 | − | 0.139272i | −0.487800 | − | 0.872955i | \(-0.662200\pi\) |
0.679491 | + | 0.733683i | \(0.262200\pi\) | |||||||
\(284\) | −2.19395 | − | 16.2521i | −0.130187 | − | 0.964382i | ||||
\(285\) | 0.402886 | + | 1.31714i | 0.0238649 | + | 0.0780204i | ||||
\(286\) | 1.73944 | + | 0.743940i | 0.102855 | + | 0.0439901i | ||||
\(287\) | −20.8567 | + | 6.77675i | −1.23113 | + | 0.400019i | ||||
\(288\) | −2.28573 | + | 16.7306i | −0.134688 | + | 0.985863i | ||||
\(289\) | 3.29087 | − | 10.1282i | 0.193580 | − | 0.595779i | ||||
\(290\) | −1.45660 | − | 1.31836i | −0.0855345 | − | 0.0774168i | ||||
\(291\) | 0.0920104 | − | 0.0298960i | 0.00539374 | − | 0.00175253i | ||||
\(292\) | −6.54576 | − | 13.6083i | −0.383062 | − | 0.796364i | ||||
\(293\) | 9.63185 | 0.562699 | 0.281349 | − | 0.959605i | \(-0.409218\pi\) | ||||
0.281349 | + | 0.959605i | \(0.409218\pi\) | |||||||
\(294\) | −1.48417 | + | 0.886294i | −0.0865588 | + | 0.0516897i | ||||
\(295\) | −4.99534 | + | 3.49879i | −0.290840 | + | 0.203708i | ||||
\(296\) | 15.1361 | + | 19.0067i | 0.879766 | + | 1.10474i | ||||
\(297\) | 0.133950 | − | 0.184366i | 0.00777255 | − | 0.0106980i | ||||
\(298\) | 18.6630 | + | 7.98199i | 1.08112 | + | 0.462384i | ||||
\(299\) | 27.3888i | 1.58393i | ||||||||
\(300\) | 0.813106 | + | 0.912485i | 0.0469447 | + | 0.0526824i | ||||
\(301\) | 9.20326i | 0.530467i | ||||||||
\(302\) | −8.02713 | + | 18.7686i | −0.461909 | + | 1.08001i | ||||
\(303\) | −0.265339 | + | 0.365207i | −0.0152433 | + | 0.0209806i | ||||
\(304\) | 16.8349 | − | 11.0906i | 0.965548 | − | 0.636090i | ||||
\(305\) | 30.4619 | + | 0.527541i | 1.74425 | + | 0.0302069i | ||||
\(306\) | 5.45431 | + | 9.13371i | 0.311802 | + | 0.522139i | ||||
\(307\) | −8.12625 | −0.463790 | −0.231895 | − | 0.972741i | \(-0.574493\pi\) | ||||
−0.231895 | + | 0.972741i | \(0.574493\pi\) | |||||||
\(308\) | 2.31520 | − | 1.11364i | 0.131920 | − | 0.0634555i | ||||
\(309\) | 1.69250 | − | 0.549927i | 0.0962830 | − | 0.0312842i | ||||
\(310\) | −10.8069 | − | 18.8304i | −0.613793 | − | 1.06949i | ||||
\(311\) | −1.39243 | + | 4.28546i | −0.0789575 | + | 0.243006i | −0.982742 | − | 0.184982i | \(-0.940777\pi\) |
0.903784 | + | 0.427988i | \(0.140777\pi\) | |||||||
\(312\) | −0.0655833 | − | 1.48293i | −0.00371292 | − | 0.0839546i | ||||
\(313\) | 1.88964 | − | 0.613980i | 0.106809 | − | 0.0347042i | −0.255125 | − | 0.966908i | \(-0.582117\pi\) |
0.361934 | + | 0.932204i | \(0.382117\pi\) | |||||||
\(314\) | 10.7260 | − | 25.0789i | 0.605304 | − | 1.41529i | ||||
\(315\) | −22.5425 | + | 15.7890i | −1.27012 | + | 0.889610i | ||||
\(316\) | −1.20800 | − | 8.94844i | −0.0679552 | − | 0.503389i | ||||
\(317\) | 9.97273 | − | 7.24561i | 0.560124 | − | 0.406954i | −0.271380 | − | 0.962472i | \(-0.587480\pi\) |
0.831504 | + | 0.555518i | \(0.187480\pi\) | |||||||
\(318\) | −0.811224 | − | 0.0731978i | −0.0454912 | − | 0.00410473i | ||||
\(319\) | 0.156585 | − | 0.113766i | 0.00876707 | − | 0.00636965i | ||||
\(320\) | 9.46031 | − | 15.1823i | 0.528847 | − | 0.848717i | ||||
\(321\) | −1.65178 | − | 1.20009i | −0.0921934 | − | 0.0669824i | ||||
\(322\) | 28.0039 | + | 24.4775i | 1.56060 | + | 1.36408i | ||||
\(323\) | 3.92476 | − | 12.0792i | 0.218379 | − | 0.672103i | ||||
\(324\) | 17.4452 | + | 3.17404i | 0.969176 | + | 0.176336i | ||||
\(325\) | 16.9221 | + | 13.2135i | 0.938669 | + | 0.732955i | ||||
\(326\) | −12.9343 | − | 1.16708i | −0.716365 | − | 0.0646385i | ||||
\(327\) | 1.69926 | + | 0.552122i | 0.0939691 | + | 0.0305324i | ||||
\(328\) | −9.37131 | − | 11.7677i | −0.517444 | − | 0.649765i | ||||
\(329\) | −21.2702 | − | 15.4537i | −1.17267 | − | 0.851991i | ||||
\(330\) | −0.104431 | + | 0.0599342i | −0.00574875 | + | 0.00329927i | ||||
\(331\) | −15.4091 | − | 21.2088i | −0.846960 | − | 1.16574i | −0.984524 | − | 0.175247i | \(-0.943928\pi\) |
0.137565 | − | 0.990493i | \(-0.456072\pi\) | |||||||
\(332\) | 13.9200 | + | 2.53266i | 0.763961 | + | 0.138998i | ||||
\(333\) | 20.7454 | − | 15.0724i | 1.13684 | − | 0.825964i | ||||
\(334\) | −12.1936 | + | 2.78020i | −0.667206 | + | 0.152126i | ||||
\(335\) | −13.1684 | + | 17.4801i | −0.719469 | + | 0.955039i | ||||
\(336\) | −1.57485 | − | 1.25825i | −0.0859152 | − | 0.0686433i | ||||
\(337\) | −24.2182 | + | 7.86898i | −1.31925 | + | 0.428651i | −0.882238 | − | 0.470805i | \(-0.843964\pi\) |
−0.437013 | + | 0.899455i | \(0.643964\pi\) | |||||||
\(338\) | −1.70965 | − | 7.49833i | −0.0929926 | − | 0.407855i | ||||
\(339\) | −1.25312 | − | 0.407164i | −0.0680603 | − | 0.0221141i | ||||
\(340\) | −1.31409 | − | 11.1930i | −0.0712667 | − | 0.607027i | ||||
\(341\) | 2.03423 | − | 0.660963i | 0.110160 | − | 0.0357931i | ||||
\(342\) | −10.9084 | − | 18.2670i | −0.589858 | − | 0.987766i | ||||
\(343\) | 12.3749i | 0.668184i | ||||||||
\(344\) | −5.91211 | + | 2.21424i | −0.318759 | + | 0.119384i | ||||
\(345\) | −1.39230 | − | 1.04888i | −0.0749591 | − | 0.0564697i | ||||
\(346\) | 13.9851 | + | 12.2241i | 0.751846 | + | 0.657170i | ||||
\(347\) | −21.6770 | − | 15.7492i | −1.16368 | − | 0.845463i | −0.173442 | − | 0.984844i | \(-0.555489\pi\) |
−0.990239 | + | 0.139381i | \(0.955489\pi\) | |||||||
\(348\) | −0.133697 | − | 0.0720240i | −0.00716691 | − | 0.00386089i | ||||
\(349\) | 9.22396i | 0.493747i | 0.969048 | + | 0.246874i | \(0.0794032\pi\) | ||||
−0.969048 | + | 0.246874i | \(0.920597\pi\) | |||||||
\(350\) | 28.6337 | − | 5.49314i | 1.53053 | − | 0.293621i | ||||
\(351\) | −3.14101 | −0.167655 | ||||||||
\(352\) | 1.27241 | + | 1.21933i | 0.0678199 | + | 0.0649905i | ||||
\(353\) | −8.49553 | + | 11.6931i | −0.452172 | + | 0.622361i | −0.972862 | − | 0.231384i | \(-0.925674\pi\) |
0.520691 | + | 0.853745i | \(0.325674\pi\) | |||||||
\(354\) | −0.310251 | + | 0.354947i | −0.0164896 | + | 0.0188652i | ||||
\(355\) | 17.3371 | + | 5.96697i | 0.920156 | + | 0.316694i | ||||
\(356\) | 15.3514 | − | 7.38424i | 0.813624 | − | 0.391364i | ||||
\(357\) | −1.26995 | −0.0672130 | ||||||||
\(358\) | 0.462955 | + | 0.775257i | 0.0244679 | + | 0.0409736i | ||||
\(359\) | −0.995352 | − | 3.06338i | −0.0525327 | − | 0.161679i | 0.921348 | − | 0.388738i | \(-0.127089\pi\) |
−0.973881 | + | 0.227059i | \(0.927089\pi\) | |||||||
\(360\) | −15.5663 | − | 10.6824i | −0.820417 | − | 0.563012i | ||||
\(361\) | −1.97802 | + | 6.08771i | −0.104106 | + | 0.320406i | ||||
\(362\) | 27.4460 | − | 6.25778i | 1.44253 | − | 0.328902i | ||||
\(363\) | 0.411783 | + | 1.26734i | 0.0216130 | + | 0.0665179i | ||||
\(364\) | −31.1745 | − | 16.7940i | −1.63399 | − | 0.880247i | ||||
\(365\) | 16.8806 | + | 0.292339i | 0.883571 | + | 0.0153017i | ||||
\(366\) | 2.29609 | − | 0.523518i | 0.120019 | − | 0.0273647i | ||||
\(367\) | 5.30006 | + | 7.29490i | 0.276661 | + | 0.380791i | 0.924624 | − | 0.380881i | \(-0.124379\pi\) |
−0.647964 | + | 0.761671i | \(0.724379\pi\) | |||||||
\(368\) | −8.98664 | + | 23.8787i | −0.468461 | + | 1.24476i | ||||
\(369\) | −12.8443 | + | 9.33191i | −0.668646 | + | 0.485800i | ||||
\(370\) | −26.5860 | + | 5.57926i | −1.38214 | + | 0.290052i | ||||
\(371\) | −11.4210 | + | 15.7196i | −0.592948 | + | 0.816123i | ||||
\(372\) | −1.15922 | − | 1.21355i | −0.0601026 | − | 0.0629198i | ||||
\(373\) | −2.96932 | + | 9.13862i | −0.153746 | + | 0.473180i | −0.998032 | − | 0.0627126i | \(-0.980025\pi\) |
0.844286 | + | 0.535893i | \(0.180025\pi\) | |||||||
\(374\) | 1.10579 | + | 0.0997766i | 0.0571789 | + | 0.00515932i | ||||
\(375\) | −1.31975 | + | 0.354208i | −0.0681518 | + | 0.0182912i | ||||
\(376\) | 4.80988 | − | 17.3819i | 0.248051 | − | 0.896403i | ||||
\(377\) | −2.53715 | − | 0.824369i | −0.130670 | − | 0.0424571i | ||||
\(378\) | −2.80714 | + | 3.21156i | −0.144384 | + | 0.165185i | ||||
\(379\) | −0.875430 | + | 1.20493i | −0.0449678 | + | 0.0618929i | −0.830909 | − | 0.556409i | \(-0.812179\pi\) |
0.785941 | + | 0.618302i | \(0.212179\pi\) | |||||||
\(380\) | 2.62813 | + | 22.3855i | 0.134820 | + | 1.14835i | ||||
\(381\) | 0.160832 | + | 0.221367i | 0.00823969 | + | 0.0113410i | ||||
\(382\) | −25.5773 | − | 2.30787i | −1.30865 | − | 0.118081i | ||||
\(383\) | 7.26441 | + | 9.99860i | 0.371194 | + | 0.510905i | 0.953225 | − | 0.302262i | \(-0.0977418\pi\) |
−0.582031 | + | 0.813167i | \(0.697742\pi\) | |||||||
\(384\) | 0.429393 | − | 1.31440i | 0.0219124 | − | 0.0670752i | ||||
\(385\) | −0.0497360 | + | 2.87192i | −0.00253478 | + | 0.146367i | ||||
\(386\) | 21.1325 | + | 9.03817i | 1.07562 | + | 0.460031i | ||||
\(387\) | 2.05891 | + | 6.33667i | 0.104660 | + | 0.322111i | ||||
\(388\) | 1.56891 | − | 0.211795i | 0.0796491 | − | 0.0107523i | ||||
\(389\) | 11.0661 | + | 3.59560i | 0.561074 | + | 0.182304i | 0.575805 | − | 0.817587i | \(-0.304689\pi\) |
−0.0147301 | + | 0.999892i | \(0.504689\pi\) | |||||||
\(390\) | 1.51436 | + | 0.678932i | 0.0766827 | + | 0.0343791i | ||||
\(391\) | 4.96708 | + | 15.2871i | 0.251196 | + | 0.773102i | ||||
\(392\) | −26.4908 | + | 9.92153i | −1.33799 | + | 0.501113i | ||||
\(393\) | − | 0.433203i | − | 0.0218522i | ||||||
\(394\) | −13.9975 | + | 8.35881i | −0.705185 | + | 0.421111i | ||||
\(395\) | 9.54585 | + | 3.28544i | 0.480304 | + | 0.165308i | ||||
\(396\) | 1.34493 | − | 1.28471i | 0.0675853 | − | 0.0645592i | ||||
\(397\) | −2.73979 | − | 1.99057i | −0.137506 | − | 0.0999040i | 0.516906 | − | 0.856042i | \(-0.327084\pi\) |
−0.654412 | + | 0.756138i | \(0.727084\pi\) | |||||||
\(398\) | −8.31543 | + | 19.4427i | −0.416815 | + | 0.974573i | ||||
\(399\) | 2.53985 | 0.127151 | ||||||||
\(400\) | 10.4178 | + | 17.0725i | 0.520891 | + | 0.853623i | ||||
\(401\) | 3.08560 | 0.154088 | 0.0770439 | − | 0.997028i | \(-0.475452\pi\) | ||||
0.0770439 | + | 0.997028i | \(0.475452\pi\) | |||||||
\(402\) | −0.665233 | + | 1.55541i | −0.0331788 | + | 0.0775768i | ||||
\(403\) | −23.8506 | − | 17.3285i | −1.18808 | − | 0.863193i | ||||
\(404\) | −5.34163 | + | 5.10247i | −0.265756 | + | 0.253857i | ||||
\(405\) | −11.9285 | + | 15.8342i | −0.592732 | + | 0.786807i | ||||
\(406\) | −3.11035 | + | 1.85738i | −0.154364 | + | 0.0921804i | ||||
\(407\) | − | 2.67623i | − | 0.132656i | ||||||
\(408\) | −0.305542 | − | 0.815809i | −0.0151266 | − | 0.0403885i | ||||
\(409\) | 3.02158 | + | 9.29945i | 0.149407 | + | 0.459828i | 0.997551 | − | 0.0699372i | \(-0.0222799\pi\) |
−0.848144 | + | 0.529766i | \(0.822280\pi\) | |||||||
\(410\) | 16.4604 | − | 3.45433i | 0.812920 | − | 0.170597i | ||||
\(411\) | 1.56829 | + | 0.509568i | 0.0773581 | + | 0.0251352i | ||||
\(412\) | 28.8595 | − | 3.89590i | 1.42181 | − | 0.191937i | ||||
\(413\) | 3.47520 | + | 10.6956i | 0.171003 | + | 0.526295i | ||||
\(414\) | 24.7574 | + | 10.5885i | 1.21676 | + | 0.520396i | ||||
\(415\) | −9.51812 | + | 12.6346i | −0.467226 | + | 0.620207i | ||||
\(416\) | 3.28799 | − | 24.0668i | 0.161207 | − | 1.17997i | ||||
\(417\) | 0.728252 | + | 1.00235i | 0.0356626 | + | 0.0490854i | ||||
\(418\) | −2.21152 | − | 0.199549i | −0.108169 | − | 0.00976024i | ||||
\(419\) | −22.2630 | − | 30.6425i | −1.08762 | − | 1.49698i | −0.850844 | − | 0.525418i | \(-0.823909\pi\) |
−0.236776 | − | 0.971564i | \(-0.576091\pi\) | |||||||
\(420\) | 2.04758 | − | 0.941608i | 0.0999115 | − | 0.0459458i | ||||
\(421\) | −8.76743 | + | 12.0673i | −0.427298 | + | 0.588126i | −0.967331 | − | 0.253519i | \(-0.918412\pi\) |
0.540032 | + | 0.841644i | \(0.318412\pi\) | |||||||
\(422\) | −2.03471 | + | 2.32784i | −0.0990480 | + | 0.113317i | ||||
\(423\) | −18.1023 | − | 5.88179i | −0.880164 | − | 0.285983i | ||||
\(424\) | −12.8460 | − | 3.55472i | −0.623857 | − | 0.172632i | ||||
\(425\) | 11.8414 | + | 4.30626i | 0.574394 | + | 0.208884i | ||||
\(426\) | 1.41155 | + | 0.127366i | 0.0683898 | + | 0.00617090i | ||||
\(427\) | 17.3604 | − | 53.4299i | 0.840130 | − | 2.58566i | ||||
\(428\) | −23.0777 | − | 24.1594i | −1.11550 | − | 1.16779i | ||||
\(429\) | −0.0961019 | + | 0.132273i | −0.00463984 | + | 0.00638620i | ||||
\(430\) | 0.755932 | − | 7.01772i | 0.0364543 | − | 0.338425i | ||||
\(431\) | −7.25169 | + | 5.26866i | −0.349302 | + | 0.253782i | −0.748576 | − | 0.663049i | \(-0.769262\pi\) |
0.399274 | + | 0.916831i | \(0.369262\pi\) | |||||||
\(432\) | −2.73846 | − | 1.03061i | −0.131754 | − | 0.0495852i | ||||
\(433\) | 16.5255 | + | 22.7455i | 0.794167 | + | 1.09308i | 0.993577 | + | 0.113161i | \(0.0360974\pi\) |
−0.199410 | + | 0.979916i | \(0.563903\pi\) | |||||||
\(434\) | −39.0331 | + | 8.89970i | −1.87365 | + | 0.427199i | ||||
\(435\) | 0.139069 | − | 0.0974054i | 0.00666784 | − | 0.00467023i | ||||
\(436\) | 25.7401 | + | 13.8665i | 1.23273 | + | 0.664084i | ||||
\(437\) | −9.93394 | − | 30.5735i | −0.475205 | − | 1.46253i | ||||
\(438\) | 1.27239 | − | 0.290110i | 0.0607971 | − | 0.0138620i | ||||
\(439\) | −1.43731 | + | 4.42358i | −0.0685991 | + | 0.211126i | −0.979479 | − | 0.201544i | \(-0.935404\pi\) |
0.910880 | + | 0.412671i | \(0.135404\pi\) | |||||||
\(440\) | −1.85687 | + | 0.659015i | −0.0885227 | + | 0.0314173i | ||||
\(441\) | 9.22550 | + | 28.3932i | 0.439310 | + | 1.35206i | ||||
\(442\) | −7.84596 | − | 13.1387i | −0.373194 | − | 0.624945i | ||||
\(443\) | 33.9122 | 1.61122 | 0.805609 | − | 0.592448i | \(-0.201838\pi\) | ||||
0.805609 | + | 0.592448i | \(0.201838\pi\) | |||||||
\(444\) | −1.89229 | + | 0.910218i | −0.0898042 | + | 0.0431970i | ||||
\(445\) | −0.329786 | + | 19.0429i | −0.0156334 | + | 0.902721i | ||||
\(446\) | 18.5566 | − | 21.2300i | 0.878683 | − | 1.00527i | ||||
\(447\) | −1.03111 | + | 1.41920i | −0.0487699 | + | 0.0671260i | ||||
\(448\) | −21.6688 | − | 24.8705i | −1.02376 | − | 1.17502i | ||||
\(449\) | 6.81383 | 0.321565 | 0.160782 | − | 0.986990i | \(-0.448598\pi\) | ||||
0.160782 | + | 0.986990i | \(0.448598\pi\) | |||||||
\(450\) | 18.4861 | − | 10.1879i | 0.871443 | − | 0.480265i | ||||
\(451\) | 1.65695i | 0.0780229i | ||||||||
\(452\) | −18.9822 | − | 10.2259i | −0.892845 | − | 0.480985i | ||||
\(453\) | −1.42723 | − | 1.03694i | −0.0670570 | − | 0.0487198i | ||||
\(454\) | −11.9318 | − | 10.4293i | −0.559986 | − | 0.489470i | ||||
\(455\) | 32.4271 | − | 22.7123i | 1.52020 | − | 1.06477i | ||||
\(456\) | 0.611071 | + | 1.63158i | 0.0286160 | + | 0.0764057i | ||||
\(457\) | − | 41.0652i | − | 1.92095i | −0.278365 | − | 0.960475i | \(-0.589792\pi\) | ||
0.278365 | − | 0.960475i | \(-0.410208\pi\) | |||||||
\(458\) | 5.29066 | + | 8.85965i | 0.247216 | + | 0.413984i | ||||
\(459\) | −1.75316 | + | 0.569637i | −0.0818306 | + | 0.0265884i | ||||
\(460\) | −19.3432 | − | 20.9649i | −0.901881 | − | 0.977495i | ||||
\(461\) | −23.5979 | − | 7.66744i | −1.09907 | − | 0.357108i | −0.297323 | − | 0.954777i | \(-0.596094\pi\) |
−0.801743 | + | 0.597669i | \(0.796094\pi\) | |||||||
\(462\) | 0.0493568 | + | 0.216473i | 0.00229629 | + | 0.0100713i | ||||
\(463\) | −18.4536 | + | 5.99593i | −0.857610 | + | 0.278654i | −0.704630 | − | 0.709575i | \(-0.748887\pi\) |
−0.152980 | + | 0.988229i | \(0.548887\pi\) | |||||||
\(464\) | −1.94150 | − | 1.55119i | −0.0901318 | − | 0.0720122i | ||||
\(465\) | 1.79427 | − | 0.548832i | 0.0832072 | − | 0.0254515i | ||||
\(466\) | 15.9394 | − | 3.63425i | 0.738380 | − | 0.168353i | ||||
\(467\) | 0.0546334 | − | 0.0396935i | 0.00252813 | − | 0.00183679i | −0.586520 | − | 0.809934i | \(-0.699503\pi\) |
0.589049 | + | 0.808098i | \(0.299503\pi\) | |||||||
\(468\) | −25.2215 | − | 4.58889i | −1.16586 | − | 0.212122i | ||||
\(469\) | 23.7205 | + | 32.6485i | 1.09531 | + | 1.50757i | ||||
\(470\) | 14.9498 | + | 13.5309i | 0.689581 | + | 0.624136i | ||||
\(471\) | 1.90709 | + | 1.38558i | 0.0878741 | + | 0.0638443i | ||||
\(472\) | −6.03465 | + | 4.80573i | −0.277767 | + | 0.221202i | ||||
\(473\) | 0.661332 | + | 0.214880i | 0.0304081 | + | 0.00988019i | ||||
\(474\) | 0.777205 | + | 0.0701281i | 0.0356982 | + | 0.00322109i | ||||
\(475\) | −23.6823 | − | 8.61232i | −1.08662 | − | 0.395160i | ||||
\(476\) | −20.4458 | − | 3.71998i | −0.937131 | − | 0.170505i | ||||
\(477\) | −4.34691 | + | 13.3784i | −0.199031 | + | 0.612555i | ||||
\(478\) | −0.613076 | − | 0.535875i | −0.0280414 | − | 0.0245103i | ||||
\(479\) | −29.8640 | − | 21.6974i | −1.36452 | − | 0.991381i | −0.998143 | − | 0.0609142i | \(-0.980598\pi\) |
−0.366376 | − | 0.930467i | \(-0.619402\pi\) | |||||||
\(480\) | 1.09752 | + | 1.08880i | 0.0500945 | + | 0.0496969i | ||||
\(481\) | −29.8420 | + | 21.6815i | −1.36068 | + | 0.988591i | ||||
\(482\) | −1.24672 | − | 0.112493i | −0.0567863 | − | 0.00512390i | ||||
\(483\) | −2.60048 | + | 1.88936i | −0.118326 | + | 0.0859689i | ||||
\(484\) | 2.91723 | + | 21.6099i | 0.132601 | + | 0.982267i | ||||
\(485\) | −0.576027 | + | 1.67365i | −0.0261560 | + | 0.0759964i | ||||
\(486\) | −1.82298 | + | 4.26240i | −0.0826923 | + | 0.193346i | ||||
\(487\) | −5.62357 | + | 1.82721i | −0.254828 | + | 0.0827987i | −0.433645 | − | 0.901084i | \(-0.642773\pi\) |
0.178817 | + | 0.983882i | \(0.442773\pi\) | |||||||
\(488\) | 38.4998 | − | 1.70267i | 1.74280 | − | 0.0770761i | ||||
\(489\) | 0.346827 | − | 1.06743i | 0.0156841 | − | 0.0482706i | ||||
\(490\) | 3.38716 | − | 31.4448i | 0.153016 | − | 1.42053i | ||||
\(491\) | −33.7674 | + | 10.9717i | −1.52390 | + | 0.495146i | −0.946881 | − | 0.321584i | \(-0.895785\pi\) |
−0.577020 | + | 0.816730i | \(0.695785\pi\) | |||||||
\(492\) | 1.17159 | − | 0.563550i | 0.0528193 | − | 0.0254068i | ||||
\(493\) | −1.56562 | −0.0705118 | ||||||||
\(494\) | 15.6916 | + | 26.2768i | 0.705996 | + | 1.18225i | ||||
\(495\) | 0.608248 | + | 1.98851i | 0.0273387 | + | 0.0893771i | ||||
\(496\) | −15.1082 | − | 22.9334i | −0.678378 | − | 1.02974i | ||||
\(497\) | 19.8728 | − | 27.3526i | 0.891417 | − | 1.22693i | ||||
\(498\) | −0.480829 | + | 1.12425i | −0.0215465 | + | 0.0503787i | ||||
\(499\) | 24.7413i | 1.10757i | 0.832658 | + | 0.553787i | \(0.186818\pi\) | ||||
−0.832658 | + | 0.553787i | \(0.813182\pi\) | |||||||
\(500\) | −22.2851 | + | 1.83676i | −0.996621 | + | 0.0821426i | ||||
\(501\) | − | 1.08085i | − | 0.0482888i | ||||||
\(502\) | 13.6105 | + | 5.82107i | 0.607466 | + | 0.259807i | ||||
\(503\) | 7.29652 | − | 10.0428i | 0.325336 | − | 0.447786i | −0.614751 | − | 0.788721i | \(-0.710744\pi\) |
0.940087 | + | 0.340935i | \(0.110744\pi\) | |||||||
\(504\) | −27.2326 | + | 21.6868i | −1.21303 | + | 0.966008i | ||||
\(505\) | −2.41577 | − | 7.89774i | −0.107500 | − | 0.351445i | ||||
\(506\) | 2.41276 | − | 1.44081i | 0.107260 | − | 0.0640519i | ||||
\(507\) | 0.664655 | 0.0295184 | ||||||||
\(508\) | 1.94091 | + | 4.03504i | 0.0861139 | + | 0.179026i | ||||
\(509\) | −20.9803 | + | 6.81693i | −0.929937 | + | 0.302155i | −0.734537 | − | 0.678569i | \(-0.762601\pi\) |
−0.195400 | + | 0.980724i | \(0.562601\pi\) | |||||||
\(510\) | 0.968372 | + | 0.104311i | 0.0428802 | + | 0.00461896i | ||||
\(511\) | 9.62035 | − | 29.6084i | 0.425579 | − | 1.30980i | ||||
\(512\) | 10.7632 | − | 19.9036i | 0.475673 | − | 0.879622i | ||||
\(513\) | 3.50625 | − | 1.13925i | 0.154805 | − | 0.0502990i | ||||
\(514\) | −22.8983 | − | 9.79339i | −1.01000 | − | 0.431968i | ||||
\(515\) | −10.5958 | + | 30.7862i | −0.466908 | + | 1.35660i | ||||
\(516\) | −0.0729911 | − | 0.540694i | −0.00321326 | − | 0.0238027i | ||||
\(517\) | −1.60710 | + | 1.16763i | −0.0706803 | + | 0.0513523i | ||||
\(518\) | −4.50156 | + | 49.8891i | −0.197787 | + | 2.19200i | ||||
\(519\) | −1.29868 | + | 0.943546i | −0.0570057 | + | 0.0414171i | ||||
\(520\) | 22.3919 | + | 15.3665i | 0.981952 | + | 0.673865i | ||||
\(521\) | −30.0779 | − | 21.8528i | −1.31773 | − | 0.957390i | −0.999957 | − | 0.00922497i | \(-0.997064\pi\) |
−0.317777 | − | 0.948165i | \(-0.602936\pi\) | |||||||
\(522\) | −1.72602 | + | 1.97469i | −0.0755460 | + | 0.0864297i | ||||
\(523\) | 1.73482 | − | 5.33924i | 0.0758585 | − | 0.233469i | −0.905936 | − | 0.423415i | \(-0.860831\pi\) |
0.981795 | + | 0.189946i | \(0.0608313\pi\) | |||||||
\(524\) | 1.26895 | − | 6.97441i | 0.0554344 | − | 0.304678i | ||||
\(525\) | −0.0872471 | + | 2.51821i | −0.00380777 | + | 0.109904i | ||||
\(526\) | −2.76725 | + | 30.6685i | −0.120658 | + | 1.33721i | ||||
\(527\) | −16.4549 | − | 5.34651i | −0.716785 | − | 0.232897i | ||||
\(528\) | −0.127186 | + | 0.0837885i | −0.00553506 | + | 0.00364643i | ||||
\(529\) | 14.3070 | + | 10.3946i | 0.622041 | + | 0.451940i | ||||
\(530\) | 9.99997 | − | 11.0485i | 0.434371 | − | 0.479918i | ||||
\(531\) | 4.78552 | + | 6.58671i | 0.207674 | + | 0.285839i | ||||
\(532\) | 40.8906 | + | 7.43980i | 1.77283 | + | 0.322556i | ||||
\(533\) | 18.4763 | − | 13.4238i | 0.800298 | − | 0.581450i | ||||
\(534\) | 0.327271 | + | 1.43538i | 0.0141624 | + | 0.0621148i | ||||
\(535\) | 35.7204 | − | 10.9262i | 1.54433 | − | 0.472379i | ||||
\(536\) | −15.2662 | + | 23.0929i | −0.659398 | + | 0.997462i | ||||
\(537\) | −0.0742173 | + | 0.0241147i | −0.00320271 | + | 0.00104063i | ||||
\(538\) | −16.7292 | + | 3.81433i | −0.721249 | + | 0.164448i | ||||
\(539\) | 2.96328 | + | 0.962828i | 0.127638 | + | 0.0414720i | ||||
\(540\) | 2.40431 | − | 2.21832i | 0.103465 | − | 0.0954615i | ||||
\(541\) | 24.9767 | − | 8.11542i | 1.07383 | − | 0.348909i | 0.281853 | − | 0.959458i | \(-0.409051\pi\) |
0.791979 | + | 0.610549i | \(0.209051\pi\) | |||||||
\(542\) | 19.0688 | − | 11.3872i | 0.819076 | − | 0.489122i | ||||
\(543\) | 2.43282i | 0.104402i | ||||||||
\(544\) | −2.52943 | − | 14.0292i | −0.108448 | − | 0.601498i | ||||
\(545\) | −26.7743 | + | 18.7531i | −1.14689 | + | 0.803293i | ||||
\(546\) | 2.01398 | − | 2.30413i | 0.0861904 | − | 0.0986075i | ||||
\(547\) | −25.9886 | − | 18.8818i | −1.11119 | − | 0.807327i | −0.128340 | − | 0.991730i | \(-0.540965\pi\) |
−0.982851 | + | 0.184403i | \(0.940965\pi\) | |||||||
\(548\) | 23.7563 | + | 12.7978i | 1.01482 | + | 0.546693i | ||||
\(549\) | − | 40.6716i | − | 1.73582i | ||||||
\(550\) | 0.273817 | − | 2.18583i | 0.0116756 | − | 0.0932040i | ||||
\(551\) | 3.13116 | 0.133392 | ||||||||
\(552\) | −1.83937 | − | 1.21596i | −0.0782888 | − | 0.0517548i | ||||
\(553\) | 10.9420 | − | 15.0604i | 0.465303 | − | 0.640434i | ||||
\(554\) | −2.48174 | − | 2.16923i | −0.105439 | − | 0.0921616i | ||||
\(555\) | 0.0406510 | − | 2.34732i | 0.00172554 | − | 0.0996384i | ||||
\(556\) | 8.78847 | + | 18.2707i | 0.372714 | + | 0.774851i | ||||
\(557\) | 10.0696 | 0.426664 | 0.213332 | − | 0.976980i | \(-0.431568\pi\) | ||||
0.213332 | + | 0.976980i | \(0.431568\pi\) | |||||||
\(558\) | −24.8842 | + | 14.8600i | −1.05343 | + | 0.629072i | ||||
\(559\) | −2.96171 | − | 9.11521i | −0.125267 | − | 0.385532i | ||||
\(560\) | 35.7234 | − | 9.16173i | 1.50959 | − | 0.387154i | ||||
\(561\) | −0.0296512 | + | 0.0912569i | −0.00125187 | + | 0.00385287i | ||||
\(562\) | 4.28356 | + | 18.7872i | 0.180691 | + | 0.792491i | ||||
\(563\) | −8.80460 | − | 27.0978i | −0.371069 | − | 1.14203i | −0.946092 | − | 0.323897i | \(-0.895007\pi\) |
0.575023 | − | 0.818137i | \(-0.304993\pi\) | |||||||
\(564\) | 1.37220 | + | 0.739216i | 0.0577798 | + | 0.0311266i | ||||
\(565\) | 19.7448 | − | 13.8295i | 0.830671 | − | 0.581812i | ||||
\(566\) | 1.25311 | + | 5.49602i | 0.0526723 | + | 0.231015i | ||||
\(567\) | 21.4870 | + | 29.5744i | 0.902370 | + | 1.24201i | ||||
\(568\) | 22.3524 | + | 6.18530i | 0.937884 | + | 0.259529i | ||||
\(569\) | 21.6286 | − | 15.7141i | 0.906718 | − | 0.658769i | −0.0334647 | − | 0.999440i | \(-0.510654\pi\) |
0.940183 | + | 0.340671i | \(0.110654\pi\) | |||||||
\(570\) | −1.93670 | − | 0.208617i | −0.0811194 | − | 0.00873799i | ||||
\(571\) | 16.2766 | − | 22.4028i | 0.681155 | − | 0.937529i | −0.318792 | − | 0.947825i | \(-0.603277\pi\) |
0.999947 | + | 0.0102955i | \(0.00327723\pi\) | |||||||
\(572\) | −1.93466 | + | 1.84804i | −0.0808923 | + | 0.0772705i | ||||
\(573\) | 0.685842 | − | 2.11081i | 0.0286515 | − | 0.0881802i | ||||
\(574\) | 2.78708 | − | 30.8882i | 0.116331 | − | 1.28925i | ||||
\(575\) | 30.6543 | − | 8.79907i | 1.27837 | − | 0.366946i | ||||
\(576\) | −20.4834 | − | 12.2763i | −0.853476 | − | 0.511512i | ||||
\(577\) | −3.37588 | − | 1.09689i | −0.140540 | − | 0.0456641i | 0.237902 | − | 0.971289i | \(-0.423540\pi\) |
−0.378442 | + | 0.925625i | \(0.623540\pi\) | |||||||
\(578\) | 11.3395 | + | 9.91155i | 0.471659 | + | 0.412266i | ||||
\(579\) | −1.16755 | + | 1.60699i | −0.0485216 | + | 0.0667843i | ||||
\(580\) | 2.52428 | − | 1.16083i | 0.104815 | − | 0.0482007i | ||||
\(581\) | 17.1452 | + | 23.5983i | 0.711301 | + | 0.979022i | ||||
\(582\) | −0.0122954 | + | 0.136265i | −0.000509660 | + | 0.00564837i | ||||
\(583\) | 0.862930 | + | 1.18772i | 0.0357389 | + | 0.0491904i | ||||
\(584\) | 21.3348 | − | 0.943539i | 0.882841 | − | 0.0390439i | ||||
\(585\) | 17.2457 | − | 22.8924i | 0.713023 | − | 0.946484i | ||||
\(586\) | −5.35644 | + | 12.5241i | −0.221273 | + | 0.517367i | ||||
\(587\) | 14.4792 | + | 44.5624i | 0.597620 | + | 1.83929i | 0.541224 | + | 0.840878i | \(0.317961\pi\) |
0.0563961 | + | 0.998408i | \(0.482039\pi\) | |||||||
\(588\) | −0.327057 | − | 2.42273i | −0.0134876 | − | 0.0999116i | ||||
\(589\) | 32.9090 | + | 10.6928i | 1.35599 | + | 0.440588i | ||||
\(590\) | −1.77142 | − | 8.44109i | −0.0729284 | − | 0.347514i | ||||
\(591\) | −0.435399 | − | 1.34002i | −0.0179099 | − | 0.0551210i | ||||
\(592\) | −33.1315 | + | 9.11122i | −1.36169 | + | 0.374469i | ||||
\(593\) | 9.84501i | 0.404286i | 0.979356 | + | 0.202143i | \(0.0647906\pi\) | ||||
−0.979356 | + | 0.202143i | \(0.935209\pi\) | |||||||
\(594\) | 0.165236 | + | 0.276701i | 0.00677971 | + | 0.0113532i | ||||
\(595\) | 13.9802 | − | 18.5577i | 0.573134 | − | 0.760791i | ||||
\(596\) | −20.7577 | + | 19.8283i | −0.850268 | + | 0.812198i | ||||
\(597\) | −1.47849 | − | 1.07418i | −0.0605105 | − | 0.0439635i | ||||
\(598\) | −35.6132 | − | 15.2314i | −1.45633 | − | 0.622858i | ||||
\(599\) | −30.6535 | −1.25247 | −0.626235 | − | 0.779634i | \(-0.715405\pi\) | ||||
−0.626235 | + | 0.779634i | \(0.715405\pi\) | |||||||
\(600\) | −1.63867 | + | 0.549818i | −0.0668985 | + | 0.0224462i | ||||
\(601\) | 19.2818 | 0.786520 | 0.393260 | − | 0.919427i | \(-0.371347\pi\) | ||||
0.393260 | + | 0.919427i | \(0.371347\pi\) | |||||||
\(602\) | −11.9668 | − | 5.11809i | −0.487732 | − | 0.208598i | ||||
\(603\) | 23.6361 | + | 17.1726i | 0.962537 | + | 0.699324i | ||||
\(604\) | −19.9404 | − | 20.8751i | −0.811364 | − | 0.849394i | ||||
\(605\) | −23.0526 | − | 7.93410i | −0.937220 | − | 0.322567i | ||||
\(606\) | −0.327313 | − | 0.548113i | −0.0132962 | − | 0.0222656i | ||||
\(607\) | 7.58873i | 0.308017i | 0.988070 | + | 0.154009i | \(0.0492183\pi\) | ||||
−0.988070 | + | 0.154009i | \(0.950782\pi\) | |||||||
\(608\) | 5.05874 | + | 28.0578i | 0.205159 | + | 1.13789i | ||||
\(609\) | −0.0967486 | − | 0.297762i | −0.00392045 | − | 0.0120659i | ||||
\(610\) | −17.6264 | + | 39.3157i | −0.713671 | + | 1.59185i | ||||
\(611\) | 26.0399 | + | 8.46088i | 1.05346 | + | 0.342291i | ||||
\(612\) | −14.9096 | + | 2.01273i | −0.602686 | + | 0.0813598i | ||||
\(613\) | −9.10557 | − | 28.0241i | −0.367771 | − | 1.13188i | −0.948228 | − | 0.317591i | \(-0.897126\pi\) |
0.580457 | − | 0.814291i | \(-0.302874\pi\) | |||||||
\(614\) | 4.51915 | − | 10.5664i | 0.182378 | − | 0.426426i | ||||
\(615\) | −0.0251686 | + | 1.45332i | −0.00101490 | + | 0.0586034i | ||||
\(616\) | 0.160526 | + | 3.62972i | 0.00646777 | + | 0.146246i | ||||
\(617\) | 3.79899 | + | 5.22886i | 0.152942 | + | 0.210506i | 0.878612 | − | 0.477537i | \(-0.158470\pi\) |
−0.725670 | + | 0.688043i | \(0.758470\pi\) | |||||||
\(618\) | −0.226169 | + | 2.50655i | −0.00909787 | + | 0.100828i | ||||
\(619\) | 25.9223 | + | 35.6790i | 1.04191 | + | 1.43406i | 0.895621 | + | 0.444819i | \(0.146732\pi\) |
0.146286 | + | 0.989242i | \(0.453268\pi\) | |||||||
\(620\) | 30.4947 | − | 3.58017i | 1.22470 | − | 0.143783i | ||||
\(621\) | −2.74248 | + | 3.77470i | −0.110052 | + | 0.151473i | ||||
\(622\) | −4.79795 | − | 4.19377i | −0.192380 | − | 0.168155i | ||||
\(623\) | 33.4011 | + | 10.8527i | 1.33819 | + | 0.434803i | ||||
\(624\) | 1.96470 | + | 0.739409i | 0.0786511 | + | 0.0296000i | ||||
\(625\) | 9.35246 | − | 23.1847i | 0.374098 | − | 0.927389i | ||||
\(626\) | −0.252513 | + | 2.79850i | −0.0100924 | + | 0.111851i | ||||
\(627\) | 0.0593010 | − | 0.182510i | 0.00236825 | − | 0.00728873i | ||||
\(628\) | 26.6448 | + | 27.8937i | 1.06324 | + | 1.11308i | ||||
\(629\) | −12.7243 | + | 17.5135i | −0.507352 | + | 0.698311i | ||||
\(630\) | −7.99391 | − | 38.0921i | −0.318485 | − | 1.51763i | ||||
\(631\) | −25.4366 | + | 18.4808i | −1.01262 | + | 0.735708i | −0.964756 | − | 0.263146i | \(-0.915240\pi\) |
−0.0478593 | + | 0.998854i | \(0.515240\pi\) | |||||||
\(632\) | 12.3073 | + | 3.40565i | 0.489558 | + | 0.135469i | ||||
\(633\) | −0.157054 | − | 0.216166i | −0.00624233 | − | 0.00859183i | ||||
\(634\) | 3.87533 | + | 16.9968i | 0.153909 | + | 0.675028i | ||||
\(635\) | −5.00533 | − | 0.0866825i | −0.198630 | − | 0.00343989i | ||||
\(636\) | 0.546314 | − | 1.01411i | 0.0216627 | − | 0.0402122i | ||||
\(637\) | −13.2708 | − | 40.8432i | −0.525807 | − | 1.61827i | ||||
\(638\) | 0.0608477 | + | 0.266871i | 0.00240898 | + | 0.0105655i | ||||
\(639\) | 7.56373 | − | 23.2788i | 0.299216 | − | 0.920893i | ||||
\(640\) | 14.4802 | + | 20.7442i | 0.572382 | + | 0.819987i | ||||
\(641\) | −4.73875 | − | 14.5844i | −0.187169 | − | 0.576048i | 0.812810 | − | 0.582529i | \(-0.197937\pi\) |
−0.999979 | + | 0.00648140i | \(0.997937\pi\) | |||||||
\(642\) | 2.47904 | − | 1.48039i | 0.0978398 | − | 0.0584263i | ||||
\(643\) | −23.5431 | −0.928448 | −0.464224 | − | 0.885718i | \(-0.653667\pi\) | ||||
−0.464224 | + | 0.885718i | \(0.653667\pi\) | |||||||
\(644\) | −47.4012 | + | 22.8006i | −1.86787 | + | 0.898470i | ||||
\(645\) | 0.576791 | + | 0.198517i | 0.0227111 | + | 0.00781659i | ||||
\(646\) | 13.5237 | + | 11.8207i | 0.532083 | + | 0.465080i | ||||
\(647\) | 7.32343 | − | 10.0798i | 0.287914 | − | 0.396280i | −0.640421 | − | 0.768024i | \(-0.721240\pi\) |
0.928335 | + | 0.371744i | \(0.121240\pi\) | |||||||
\(648\) | −13.8287 | + | 20.9185i | −0.543243 | + | 0.821756i | ||||
\(649\) | 0.849707 | 0.0333539 | ||||||||
\(650\) | −26.5920 | + | 14.6552i | −1.04302 | + | 0.574825i | ||||
\(651\) | − | 3.45991i | − | 0.135605i | ||||||
\(652\) | 8.71053 | − | 16.1692i | 0.341131 | − | 0.633236i | ||||
\(653\) | 6.50662 | + | 4.72734i | 0.254624 | + | 0.184995i | 0.707773 | − | 0.706439i | \(-0.249700\pi\) |
−0.453150 | + | 0.891434i | \(0.649700\pi\) | |||||||
\(654\) | −1.66290 | + | 1.90247i | −0.0650246 | + | 0.0743924i | ||||
\(655\) | 6.33035 | + | 4.76890i | 0.247347 | + | 0.186336i | ||||
\(656\) | 20.5129 | − | 5.64110i | 0.800895 | − | 0.220248i | ||||
\(657\) | − | 22.5383i | − | 0.879303i | ||||||
\(658\) | 31.9229 | − | 19.0632i | 1.24449 | − | 0.743161i | ||||
\(659\) | 43.9188 | − | 14.2701i | 1.71083 | − | 0.555883i | 0.720361 | − | 0.693599i | \(-0.243976\pi\) |
0.990472 | + | 0.137716i | \(0.0439762\pi\) | |||||||
\(660\) | −0.0198552 | − | 0.169121i | −0.000772864 | − | 0.00658301i | ||||
\(661\) | −31.8290 | − | 10.3419i | −1.23800 | − | 0.402252i | −0.384396 | − | 0.923168i | \(-0.625590\pi\) |
−0.853607 | + | 0.520917i | \(0.825590\pi\) | |||||||
\(662\) | 36.1467 | − | 8.24158i | 1.40488 | − | 0.320318i | ||||
\(663\) | 1.25780 | − | 0.408685i | 0.0488490 | − | 0.0158720i | ||||
\(664\) | −11.0344 | + | 16.6915i | −0.428216 | + | 0.647756i | ||||
\(665\) | −27.9599 | + | 37.1146i | −1.08424 | + | 1.43924i | ||||
\(666\) | 8.06152 | + | 35.3569i | 0.312378 | + | 1.37005i | ||||
\(667\) | −3.20591 | + | 2.32923i | −0.124133 | + | 0.0901881i | ||||
\(668\) | 3.16606 | − | 17.4013i | 0.122498 | − | 0.673276i | ||||
\(669\) | 1.43234 | + | 1.97145i | 0.0553775 | + | 0.0762206i | ||||
\(670\) | −15.4058 | − | 26.8437i | −0.595180 | − | 1.03706i | ||||
\(671\) | −3.43406 | − | 2.49499i | −0.132570 | − | 0.0963180i | ||||
\(672\) | 2.51188 | − | 1.34802i | 0.0968981 | − | 0.0520008i | ||||
\(673\) | −30.1023 | − | 9.78082i | −1.16036 | − | 0.377023i | −0.335321 | − | 0.942104i | \(-0.608845\pi\) |
−0.825035 | + | 0.565081i | \(0.808845\pi\) | |||||||
\(674\) | 3.23629 | − | 35.8666i | 0.124657 | − | 1.38153i | ||||
\(675\) | 1.00910 | + | 3.51551i | 0.0388402 | + | 0.135312i | ||||
\(676\) | 10.7007 | + | 1.94693i | 0.411566 | + | 0.0748818i | ||||
\(677\) | −10.7847 | + | 33.1919i | −0.414489 | + | 1.27567i | 0.498217 | + | 0.867052i | \(0.333988\pi\) |
−0.912707 | + | 0.408615i | \(0.866012\pi\) | |||||||
\(678\) | 1.22631 | − | 1.40298i | 0.0470963 | − | 0.0538812i | ||||
\(679\) | 2.64050 | + | 1.91844i | 0.101333 | + | 0.0736229i | ||||
\(680\) | 15.2849 | + | 4.51595i | 0.586149 | + | 0.173179i | ||||
\(681\) | 1.10800 | − | 0.805010i | 0.0424587 | − | 0.0308480i | ||||
\(682\) | −0.271835 | + | 3.01265i | −0.0104091 | + | 0.115360i | ||||
\(683\) | 5.66818 | − | 4.11817i | 0.216887 | − | 0.157578i | −0.474037 | − | 0.880505i | \(-0.657204\pi\) |
0.690924 | + | 0.722927i | \(0.257204\pi\) | |||||||
\(684\) | 29.8186 | − | 4.02537i | 1.14014 | − | 0.153914i | ||||
\(685\) | −24.7108 | + | 17.3077i | −0.944150 | + | 0.661293i | ||||
\(686\) | −16.0909 | − | 6.88192i | −0.614354 | − | 0.262753i | ||||
\(687\) | −0.848157 | + | 0.275583i | −0.0323592 | + | 0.0105141i | ||||
\(688\) | 0.408686 | − | 8.91878i | 0.0155810 | − | 0.340025i | ||||
\(689\) | 6.25297 | − | 19.2447i | 0.238219 | − | 0.733163i | ||||
\(690\) | 2.13812 | − | 1.22709i | 0.0813969 | − | 0.0467145i | ||||
\(691\) | −7.77133 | + | 2.52506i | −0.295635 | + | 0.0960578i | −0.453079 | − | 0.891470i | \(-0.649675\pi\) |
0.157444 | + | 0.987528i | \(0.449675\pi\) | |||||||
\(692\) | −23.6721 | + | 11.3866i | −0.899879 | + | 0.432854i | ||||
\(693\) | 3.83448 | 0.145660 | ||||||||
\(694\) | 32.5334 | − | 19.4277i | 1.23495 | − | 0.737467i | ||||
\(695\) | −22.6642 | − | 0.392500i | −0.859703 | − | 0.0148884i | ||||
\(696\) | 0.168003 | − | 0.133790i | 0.00636813 | − | 0.00507130i | ||||
\(697\) | 7.87811 | − | 10.8433i | 0.298405 | − | 0.410719i | ||||
\(698\) | −11.9937 | − | 5.12960i | −0.453970 | − | 0.194158i | ||||
\(699\) | 1.41288i | 0.0534400i | ||||||||
\(700\) | −8.78106 | + | 40.2867i | −0.331893 | + | 1.52269i | ||||
\(701\) | − | 20.0038i | − | 0.755534i | −0.925901 | − | 0.377767i | \(-0.876692\pi\) | ||
0.925901 | − | 0.377767i | \(-0.123308\pi\) | |||||||
\(702\) | 1.74677 | − | 4.08420i | 0.0659277 | − | 0.154148i | ||||
\(703\) | 25.4481 | − | 35.0263i | 0.959793 | − | 1.32104i | ||||
\(704\) | −2.29309 | + | 0.976407i | −0.0864239 | + | 0.0367997i | ||||
\(705\) | −1.42733 | + | 0.999717i | −0.0537563 | + | 0.0376515i | ||||
\(706\) | −10.4798 | − | 17.5493i | −0.394413 | − | 0.660478i | ||||
\(707\) | −15.2293 | −0.572757 | ||||||||
\(708\) | −0.288996 | − | 0.600806i | −0.0108611 | − | 0.0225797i | ||||
\(709\) | −46.7136 | + | 15.1782i | −1.75437 | + | 0.570029i | −0.996592 | − | 0.0824870i | \(-0.973714\pi\) |
−0.757775 | + | 0.652516i | \(0.773714\pi\) | |||||||
\(710\) | −17.4002 | + | 19.2247i | −0.653018 | + | 0.721492i | ||||
\(711\) | 4.16462 | − | 12.8174i | 0.156185 | − | 0.480689i | ||||
\(712\) | 1.06440 | + | 24.0677i | 0.0398901 | + | 0.901974i | ||||
\(713\) | −41.6488 | + | 13.5325i | −1.55976 | + | 0.506797i | ||||
\(714\) | 0.706243 | − | 1.65130i | 0.0264305 | − | 0.0617982i | ||||
\(715\) | −0.874956 | − | 2.86045i | −0.0327215 | − | 0.106975i | ||||
\(716\) | −1.26551 | + | 0.170838i | −0.0472943 | + | 0.00638451i | ||||
\(717\) | 0.0569310 | − | 0.0413628i | 0.00212613 | − | 0.00154472i | ||||
\(718\) | 4.53679 | + | 0.409360i | 0.169311 | + | 0.0152772i | ||||
\(719\) | −38.2305 | + | 27.7761i | −1.42576 | + | 1.03587i | −0.434971 | + | 0.900444i | \(0.643242\pi\) |
−0.990787 | + | 0.135430i | \(0.956758\pi\) | |||||||
\(720\) | 22.5468 | − | 14.2999i | 0.840271 | − | 0.532927i | ||||
\(721\) | 48.5712 | + | 35.2890i | 1.80889 | + | 1.31423i | ||||
\(722\) | −6.81573 | − | 5.95746i | −0.253655 | − | 0.221714i | ||||
\(723\) | 0.0334301 | − | 0.102887i | 0.00124328 | − | 0.00382642i | ||||
\(724\) | −7.12629 | + | 39.1676i | −0.264847 | + | 1.45565i | ||||
\(725\) | −0.107559 | + | 3.10448i | −0.00399466 | + | 0.115298i | ||||
\(726\) | −1.87689 | − | 0.169355i | −0.0696581 | − | 0.00628534i | ||||
\(727\) | −1.36442 | − | 0.443325i | −0.0506034 | − | 0.0164420i | 0.283606 | − | 0.958941i | \(-0.408469\pi\) |
−0.334209 | + | 0.942499i | \(0.608469\pi\) | |||||||
\(728\) | 39.1737 | − | 31.1962i | 1.45187 | − | 1.15621i | ||||
\(729\) | 21.1936 | + | 15.3980i | 0.784947 | + | 0.570298i | ||||
\(730\) | −9.76772 | + | 21.7870i | −0.361520 | + | 0.806372i | ||||
\(731\) | −3.30617 | − | 4.55055i | −0.122283 | − | 0.168308i | ||||
\(732\) | −0.596177 | + | 3.27671i | −0.0220353 | + | 0.121111i | ||||
\(733\) | −30.8009 | + | 22.3782i | −1.13766 | + | 0.826556i | −0.986791 | − | 0.161998i | \(-0.948206\pi\) |
−0.150866 | + | 0.988554i | \(0.548206\pi\) | |||||||
\(734\) | −12.4329 | + | 2.83475i | −0.458906 | + | 0.104632i | ||||
\(735\) | 2.58447 | + | 0.889509i | 0.0953297 | + | 0.0328100i | ||||
\(736\) | −26.0514 | − | 24.9645i | −0.960266 | − | 0.920204i | ||||
\(737\) | 2.89990 | − | 0.942236i | 0.106819 | − | 0.0347077i | ||||
\(738\) | −4.99119 | − | 21.8908i | −0.183728 | − | 0.805812i | ||||
\(739\) | −30.0806 | − | 9.77378i | −1.10653 | − | 0.359534i | −0.301920 | − | 0.953333i | \(-0.597627\pi\) |
−0.804613 | + | 0.593799i | \(0.797627\pi\) | |||||||
\(740\) | 7.53032 | − | 37.6720i | 0.276820 | − | 1.38485i | ||||
\(741\) | −2.51555 | + | 0.817351i | −0.0924110 | + | 0.0300262i | ||||
\(742\) | −14.0886 | − | 23.5925i | −0.517207 | − | 0.866107i | ||||
\(743\) | − | 13.6505i | − | 0.500790i | −0.968144 | − | 0.250395i | \(-0.919440\pi\) | ||
0.968144 | − | 0.250395i | \(-0.0805605\pi\) | |||||||
\(744\) | 2.22262 | − | 0.832432i | 0.0814853 | − | 0.0305184i | ||||
\(745\) | −9.38771 | − | 30.6908i | −0.343939 | − | 1.12442i | ||||
\(746\) | −10.2315 | − | 8.94310i | −0.374602 | − | 0.327430i | ||||
\(747\) | 17.0841 | + | 12.4124i | 0.625076 | + | 0.454144i | ||||
\(748\) | −0.744685 | + | 1.38235i | −0.0272284 | + | 0.0505436i | ||||
\(749\) | − | 68.8800i | − | 2.51682i | ||||||
\(750\) | 0.273367 | − | 1.91303i | 0.00998197 | − | 0.0698541i | ||||
\(751\) | 13.2979 | 0.485247 | 0.242623 | − | 0.970121i | \(-0.421992\pi\) | ||||
0.242623 | + | 0.970121i | \(0.421992\pi\) | |||||||
\(752\) | 19.9265 | + | 15.9206i | 0.726645 | + | 0.580564i | ||||
\(753\) | −0.751964 | + | 1.03499i | −0.0274031 | + | 0.0377171i | ||||
\(754\) | 2.48286 | − | 2.84056i | 0.0904205 | − | 0.103447i | ||||
\(755\) | 30.8643 | − | 9.44079i | 1.12327 | − | 0.343586i | ||||
\(756\) | −2.61483 | − | 5.43608i | −0.0951004 | − | 0.197708i | ||||
\(757\) | −15.4070 | −0.559979 | −0.279989 | − | 0.960003i | \(-0.590331\pi\) | ||||
−0.279989 | + | 0.960003i | \(0.590331\pi\) | |||||||
\(758\) | −1.07990 | − | 1.80839i | −0.0392238 | − | 0.0656836i | ||||
\(759\) | 0.0750499 | + | 0.230980i | 0.00272414 | + | 0.00838404i | ||||
\(760\) | −30.5691 | − | 9.03169i | −1.10886 | − | 0.327614i | ||||
\(761\) | −6.51536 | + | 20.0522i | −0.236182 | + | 0.726893i | 0.760781 | + | 0.649009i | \(0.224816\pi\) |
−0.996962 | + | 0.0778836i | \(0.975184\pi\) | |||||||
\(762\) | −0.377281 | + | 0.0860215i | −0.0136674 | + | 0.00311623i | ||||
\(763\) | 18.6266 | + | 57.3268i | 0.674328 | + | 2.07537i | ||||
\(764\) | 17.2248 | − | 31.9742i | 0.623173 | − | 1.15679i | ||||
\(765\) | 5.47410 | − | 15.9050i | 0.197916 | − | 0.575047i | ||||
\(766\) | −17.0409 | + | 3.88538i | −0.615711 | + | 0.140385i | ||||
\(767\) | −6.88391 | − | 9.47489i | −0.248563 | − | 0.342118i | ||||
\(768\) | 1.47030 | + | 1.28929i | 0.0530548 | + | 0.0465233i | ||||
\(769\) | 12.8730 | − | 9.35276i | 0.464211 | − | 0.337269i | −0.330970 | − | 0.943641i | \(-0.607376\pi\) |
0.795181 | + | 0.606372i | \(0.207376\pi\) | |||||||
\(770\) | −3.70665 | − | 1.66180i | −0.133578 | − | 0.0598870i | ||||
\(771\) | 1.26511 | − | 1.74127i | 0.0455617 | − | 0.0627103i | ||||
\(772\) | −23.5043 | + | 22.4520i | −0.845939 | + | 0.808063i | ||||
\(773\) | 0.718367 | − | 2.21091i | 0.0258379 | − | 0.0795208i | −0.937306 | − | 0.348507i | \(-0.886689\pi\) |
0.963144 | + | 0.268986i | \(0.0866887\pi\) | |||||||
\(774\) | −9.38445 | − | 0.846771i | −0.337317 | − | 0.0304365i | ||||
\(775\) | −11.7321 | + | 32.2613i | −0.421431 | + | 1.15886i | ||||
\(776\) | −0.597103 | + | 2.15780i | −0.0214347 | + | 0.0774606i | ||||
\(777\) | −4.11718 | − | 1.33775i | −0.147703 | − | 0.0479916i | ||||
\(778\) | −10.8294 | + | 12.3895i | −0.388251 | + | 0.444185i | ||||
\(779\) | −15.7559 | + | 21.6861i | −0.564513 | + | 0.776985i | ||||
\(780\) | −1.72497 | + | 1.59153i | −0.0617637 | + | 0.0569860i | ||||
\(781\) | −1.50152 | − | 2.06666i | −0.0537286 | − | 0.0739511i | ||||
\(782\) | −22.6398 | − | 2.04282i | −0.809599 | − | 0.0730511i | ||||
\(783\) | −0.267122 | − | 0.367662i | −0.00954615 | − | 0.0131392i | ||||
\(784\) | 1.83123 | − | 39.9631i | 0.0654011 | − | 1.42725i | ||||
\(785\) | −41.2415 | + | 12.6150i | −1.47197 | + | 0.450248i | ||||
\(786\) | 0.563286 | + | 0.240912i | 0.0200917 | + | 0.00859304i | ||||
\(787\) | 11.5499 | + | 35.5471i | 0.411711 | + | 1.26712i | 0.915160 | + | 0.403091i | \(0.132064\pi\) |
−0.503449 | + | 0.864025i | \(0.667936\pi\) | |||||||
\(788\) | −3.08454 | − | 22.8492i | −0.109882 | − | 0.813969i | ||||
\(789\) | −2.53096 | − | 0.822360i | −0.0901047 | − | 0.0292768i | ||||
\(790\) | −9.58061 | + | 10.5852i | −0.340863 | + | 0.376605i | ||||
\(791\) | −13.7363 | − | 42.2758i | −0.488405 | − | 1.50316i | ||||
\(792\) | 0.922549 | + | 2.46324i | 0.0327814 | + | 0.0875274i | ||||
\(793\) | 58.5055i | 2.07759i | ||||||||
\(794\) | 4.11195 | − | 2.45551i | 0.145928 | − | 0.0871426i | ||||
\(795\) | 0.738836 | + | 1.05486i | 0.0262038 | + | 0.0374120i | ||||
\(796\) | −20.6566 | − | 21.6248i | −0.732153 | − | 0.766471i | ||||
\(797\) | 27.6045 | + | 20.0559i | 0.977802 | + | 0.710415i | 0.957216 | − | 0.289373i | \(-0.0934469\pi\) |
0.0205856 | + | 0.999788i | \(0.493447\pi\) | |||||||
\(798\) | −1.41245 | + | 3.30252i | −0.0500003 | + | 0.116908i | ||||
\(799\) | 16.0686 | 0.568468 | ||||||||
\(800\) | −27.9925 | + | 4.05182i | −0.989686 | + | 0.143254i | ||||
\(801\) | 25.4253 | 0.898361 | ||||||||
\(802\) | −1.71596 | + | 4.01216i | −0.0605926 | + | 0.141674i | ||||
\(803\) | −1.90300 | − | 1.38261i | −0.0671553 | − | 0.0487912i | ||||
\(804\) | −1.65252 | − | 1.72998i | −0.0582800 | − | 0.0610117i | ||||
\(805\) | 1.01829 | − | 58.7996i | 0.0358901 | − | 2.07241i | ||||
\(806\) | 35.7956 | − | 21.3758i | 1.26085 | − | 0.752932i | ||||
\(807\) | − | 1.48289i | − | 0.0522001i | ||||||
\(808\) | −3.66407 | − | 9.78320i | −0.128902 | − | 0.344172i | ||||
\(809\) | 0.931838 | + | 2.86790i | 0.0327617 | + | 0.100830i | 0.966100 | − | 0.258167i | \(-0.0831186\pi\) |
−0.933338 | + | 0.358998i | \(0.883119\pi\) | |||||||
\(810\) | −13.9552 | − | 24.3161i | −0.490337 | − | 0.854380i | ||||
\(811\) | −27.5066 | − | 8.93745i | −0.965889 | − | 0.313836i | −0.216734 | − | 0.976231i | \(-0.569540\pi\) |
−0.749155 | + | 0.662394i | \(0.769540\pi\) | |||||||
\(812\) | −0.685405 | − | 5.07725i | −0.0240530 | − | 0.178177i | ||||
\(813\) | 0.593143 | + | 1.82551i | 0.0208024 | + | 0.0640233i | ||||
\(814\) | 3.47985 | + | 1.48830i | 0.121969 | + | 0.0521648i | ||||
\(815\) | 11.7801 | + | 16.8189i | 0.412640 | + | 0.589140i | ||||
\(816\) | 1.23070 | + | 0.0563944i | 0.0430831 | + | 0.00197420i | ||||
\(817\) | 6.61219 | + | 9.10090i | 0.231331 | + | 0.318400i | ||||
\(818\) | −13.7723 | − | 1.24269i | −0.481536 | − | 0.0434496i | ||||
\(819\) | −31.0650 | − | 42.7573i | −1.08550 | − | 1.49406i | ||||
\(820\) | −4.66230 | + | 23.3241i | −0.162815 | + | 0.814515i | ||||
\(821\) | 12.8958 | − | 17.7496i | 0.450067 | − | 0.619464i | −0.522345 | − | 0.852734i | \(-0.674943\pi\) |
0.972412 | + | 0.233270i | \(0.0749427\pi\) | |||||||
\(822\) | −1.53474 | + | 1.75584i | −0.0535301 | + | 0.0612419i | ||||
\(823\) | 19.0241 | + | 6.18129i | 0.663137 | + | 0.215466i | 0.621198 | − | 0.783654i | \(-0.286646\pi\) |
0.0419394 | + | 0.999120i | \(0.486646\pi\) | |||||||
\(824\) | −10.9835 | + | 39.6921i | −0.382629 | + | 1.38274i | ||||
\(825\) | 0.178918 | + | 0.0650652i | 0.00622911 | + | 0.00226528i | ||||
\(826\) | −15.8399 | − | 1.42925i | −0.551140 | − | 0.0497300i | ||||
\(827\) | 5.28600 | − | 16.2686i | 0.183812 | − | 0.565716i | −0.816114 | − | 0.577891i | \(-0.803876\pi\) |
0.999926 | + | 0.0121758i | \(0.00387576\pi\) | |||||||
\(828\) | −27.5360 | + | 26.3031i | −0.956943 | + | 0.914097i | ||||
\(829\) | 21.2432 | − | 29.2388i | 0.737807 | − | 1.01550i | −0.260935 | − | 0.965356i | \(-0.584031\pi\) |
0.998742 | − | 0.0501475i | \(-0.0159692\pi\) | |||||||
\(830\) | −11.1353 | − | 19.4026i | −0.386512 | − | 0.673472i | ||||
\(831\) | 0.230458 | − | 0.167437i | 0.00799448 | − | 0.00580833i | ||||
\(832\) | 29.4651 | + | 17.6593i | 1.02152 | + | 0.612226i | ||||
\(833\) | −14.8142 | − | 20.3900i | −0.513282 | − | 0.706472i | ||||
\(834\) | −1.70833 | + | 0.389507i | −0.0591548 | + | 0.0134875i | ||||
\(835\) | 15.7944 | + | 11.8985i | 0.546586 | + | 0.411765i | ||||
\(836\) | 1.48934 | − | 2.76463i | 0.0515098 | − | 0.0956168i | ||||
\(837\) | −1.55194 | − | 4.77639i | −0.0536430 | − | 0.165096i | ||||
\(838\) | 52.2247 | − | 11.9074i | 1.80407 | − | 0.411335i | ||||
\(839\) | −9.69350 | + | 29.8335i | −0.334657 | + | 1.02997i | 0.632234 | + | 0.774777i | \(0.282138\pi\) |
−0.966891 | + | 0.255190i | \(0.917862\pi\) | |||||||
\(840\) | 0.0856630 | + | 3.18607i | 0.00295566 | + | 0.109930i | ||||
\(841\) | 8.84222 | + | 27.2136i | 0.304904 | + | 0.938398i | ||||
\(842\) | −10.8152 | − | 18.1110i | −0.372717 | − | 0.624146i | ||||
\(843\) | −1.66531 | −0.0573562 | ||||||||
\(844\) | −1.89531 | − | 3.94024i | −0.0652393 | − | 0.135629i | ||||
\(845\) | −7.31684 | + | 9.71254i | −0.251707 | + | 0.334122i | ||||
\(846\) | 17.7150 | − | 20.2671i | 0.609054 | − | 0.696798i | ||||
\(847\) | −26.4243 | + | 36.3699i | −0.907948 | + | 1.24968i | ||||
\(848\) | 11.7660 | − | 14.7266i | 0.404047 | − | 0.505713i | ||||
\(849\) | −0.487170 | −0.0167196 | ||||||||
\(850\) | −12.1846 | + | 13.0024i | −0.417928 | + | 0.445979i | ||||
\(851\) | 54.7930i | 1.87828i | ||||||||
\(852\) | −0.950599 | + | 1.76458i | −0.0325670 | + | 0.0604536i | ||||
\(853\) | 20.4120 | + | 14.8302i | 0.698894 | + | 0.507776i | 0.879572 | − | 0.475766i | \(-0.157829\pi\) |
−0.180678 | + | 0.983542i | \(0.557829\pi\) | |||||||
\(854\) | 59.8195 | + | 52.2868i | 2.04698 | + | 1.78922i | ||||
\(855\) | −10.9480 | + | 31.8093i | −0.374412 | + | 1.08786i | ||||
\(856\) | 44.2480 | − | 16.5721i | 1.51237 | − | 0.566422i | ||||
\(857\) | 40.0337i | 1.36753i | 0.729704 | + | 0.683763i | \(0.239658\pi\) | ||||
−0.729704 | + | 0.683763i | \(0.760342\pi\) | |||||||
\(858\) | −0.118548 | − | 0.198519i | −0.00404717 | − | 0.00677732i | ||||
\(859\) | 18.4443 | − | 5.99291i | 0.629311 | − | 0.204475i | 0.0230409 | − | 0.999735i | \(-0.492665\pi\) |
0.606270 | + | 0.795259i | \(0.292665\pi\) | |||||||
\(860\) | 8.70463 | + | 4.88560i | 0.296825 | + | 0.166598i | ||||
\(861\) | 2.54910 | + | 0.828253i | 0.0868732 | + | 0.0282268i | ||||
\(862\) | −2.81795 | − | 12.3592i | −0.0959798 | − | 0.420957i | ||||
\(863\) | 15.3173 | − | 4.97690i | 0.521408 | − | 0.169416i | −0.0364763 | − | 0.999335i | \(-0.511613\pi\) |
0.557884 | + | 0.829919i | \(0.311613\pi\) | |||||||
\(864\) | 2.86299 | − | 2.98763i | 0.0974009 | − | 0.101641i | ||||
\(865\) | 0.508535 | − | 29.3645i | 0.0172907 | − | 0.998422i | ||||
\(866\) | −38.7656 | + | 8.83872i | −1.31731 | + | 0.300352i | ||||
\(867\) | −1.05300 | + | 0.765048i | −0.0357617 | + | 0.0259824i | ||||
\(868\) | 10.1349 | − | 55.7033i | 0.344000 | − | 1.89069i | ||||
\(869\) | −0.826742 | − | 1.13791i | −0.0280453 | − | 0.0386010i | ||||
\(870\) | 0.0493159 | + | 0.234998i | 0.00167197 | + | 0.00796716i | ||||
\(871\) | −34.0002 | − | 24.7026i | −1.15205 | − | 0.837016i | ||||
\(872\) | −32.3449 | + | 25.7580i | −1.09534 | + | 0.872277i | ||||
\(873\) | 2.24723 | + | 0.730170i | 0.0760573 | + | 0.0247125i | ||||
\(874\) | 45.2786 | + | 4.08555i | 1.53157 | + | 0.138196i | ||||
\(875\) | −35.8379 | − | 28.9966i | −1.21154 | − | 0.980263i | ||||
\(876\) | −0.330374 | + | 1.81580i | −0.0111623 | + | 0.0613502i | ||||
\(877\) | −3.77880 | + | 11.6300i | −0.127601 | + | 0.392716i | −0.994366 | − | 0.106001i | \(-0.966195\pi\) |
0.866765 | + | 0.498717i | \(0.166195\pi\) | |||||||
\(878\) | −4.95259 | − | 4.32894i | −0.167142 | − | 0.146095i | ||||
\(879\) | −0.952378 | − | 0.691943i | −0.0321229 | − | 0.0233387i | ||||
\(880\) | 0.175731 | − | 2.78094i | 0.00592389 | − | 0.0937455i | ||||
\(881\) | −14.6870 | + | 10.6707i | −0.494818 | + | 0.359506i | −0.807034 | − | 0.590505i | \(-0.798929\pi\) |
0.312216 | + | 0.950011i | \(0.398929\pi\) | |||||||
\(882\) | −42.0496 | − | 3.79419i | −1.41588 | − | 0.127757i | ||||
\(883\) | 6.74673 | − | 4.90179i | 0.227046 | − | 0.164958i | −0.468447 | − | 0.883492i | \(-0.655186\pi\) |
0.695492 | + | 0.718533i | \(0.255186\pi\) | |||||||
\(884\) | 21.4473 | − | 2.89529i | 0.721351 | − | 0.0973790i | ||||
\(885\) | 0.745279 | + | 0.0129068i | 0.0250523 | + | 0.000433856i | ||||
\(886\) | −18.8592 | + | 44.0954i | −0.633586 | + | 1.48142i | ||||
\(887\) | −47.8491 | + | 15.5471i | −1.60662 | + | 0.522021i | −0.968732 | − | 0.248110i | \(-0.920190\pi\) |
−0.637885 | + | 0.770132i | \(0.720190\pi\) | |||||||
\(888\) | −0.131203 | − | 2.96670i | −0.00440290 | − | 0.0995560i | ||||
\(889\) | −2.85256 | + | 8.77929i | −0.0956720 | + | 0.294448i | ||||
\(890\) | −24.5778 | − | 11.0189i | −0.823848 | − | 0.369355i | ||||
\(891\) | 2.62685 | − | 0.853516i | 0.0880029 | − | 0.0285939i | ||||
\(892\) | 17.2854 | + | 35.9353i | 0.578756 | + | 1.20320i | ||||
\(893\) | −32.1366 | −1.07541 | ||||||||
\(894\) | −1.27194 | − | 2.12998i | −0.0425402 | − | 0.0712371i | ||||
\(895\) | 0.464634 | − | 1.35000i | 0.0155310 | − | 0.0451254i | ||||
\(896\) | 44.3891 | − | 14.3447i | 1.48294 | − | 0.479222i | ||||
\(897\) | 1.96759 | − | 2.70815i | 0.0656958 | − | 0.0904225i | ||||
\(898\) | −3.78929 | + | 8.85991i | −0.126450 | + | 0.295659i | ||||
\(899\) | − | 4.26543i | − | 0.142260i | ||||||
\(900\) | 2.96677 | + | 29.7028i | 0.0988923 | + | 0.990094i | ||||
\(901\) | − | 11.8754i | − | 0.395628i | ||||||
\(902\) | −2.15451 | − | 0.921461i | −0.0717373 | − | 0.0306813i | ||||
\(903\) | 0.661153 | − | 0.910000i | 0.0220018 | − | 0.0302829i | ||||
\(904\) | 23.8528 | − | 18.9954i | 0.793334 | − | 0.631776i | ||||
\(905\) | −35.5506 | − | 26.7817i | −1.18174 | − | 0.890252i | ||||
\(906\) | 2.14202 | − | 1.27914i | 0.0711639 | − | 0.0424965i | ||||
\(907\) | 40.7553 | 1.35326 | 0.676629 | − | 0.736324i | \(-0.263440\pi\) | ||||
0.676629 | + | 0.736324i | \(0.263440\pi\) | |||||||
\(908\) | 20.1965 | − | 9.71478i | 0.670243 | − | 0.322396i | ||||
\(909\) | −10.4858 | + | 3.40703i | −0.347790 | + | 0.113004i | ||||
\(910\) | 11.4991 | + | 54.7950i | 0.381192 | + | 1.81644i | ||||
\(911\) | 0.0419150 | − | 0.129001i | 0.00138871 | − | 0.00427400i | −0.950360 | − | 0.311153i | \(-0.899285\pi\) |
0.951748 | + | 0.306879i | \(0.0992848\pi\) | |||||||
\(912\) | −2.46134 | − | 0.112786i | −0.0815032 | − | 0.00373472i | ||||
\(913\) | 2.09605 | − | 0.681046i | 0.0693690 | − | 0.0225393i | ||||
\(914\) | 53.3964 | + | 22.8371i | 1.76620 | + | 0.755384i | ||||
\(915\) | −2.97412 | − | 2.24052i | −0.0983213 | − | 0.0740693i | ||||
\(916\) | −14.4623 | + | 1.95234i | −0.477847 | + | 0.0645071i | ||||
\(917\) | 11.8235 | − | 8.59030i | 0.390448 | − | 0.283677i | ||||
\(918\) | 0.234276 | − | 2.59639i | 0.00773225 | − | 0.0856937i | ||||
\(919\) | 8.15739 | − | 5.92669i | 0.269087 | − | 0.195503i | −0.445056 | − | 0.895503i | \(-0.646816\pi\) |
0.714144 | + | 0.699999i | \(0.246816\pi\) | |||||||
\(920\) | 38.0174 | − | 13.4926i | 1.25340 | − | 0.444839i | ||||
\(921\) | 0.803507 | + | 0.583782i | 0.0264765 | + | 0.0192363i | ||||
\(922\) | 23.0931 | − | 26.4200i | 0.760530 | − | 0.870096i | ||||
\(923\) | −10.8803 | + | 33.4862i | −0.358130 | + | 1.10221i | ||||
\(924\) | −0.308925 | − | 0.0562069i | −0.0101629 | − | 0.00184907i | ||||
\(925\) | 33.8537 | + | 26.4345i | 1.11310 | + | 0.869161i | ||||
\(926\) | 2.46596 | − | 27.3293i | 0.0810363 | − | 0.898096i | ||||
\(927\) | 41.3371 | + | 13.4312i | 1.35769 | + | 0.441140i | ||||
\(928\) | 3.09669 | − | 1.66185i | 0.101654 | − | 0.0545530i | ||||
\(929\) | −6.77547 | − | 4.92267i | −0.222296 | − | 0.161508i | 0.471064 | − | 0.882099i | \(-0.343870\pi\) |
−0.693360 | + | 0.720592i | \(0.743870\pi\) | |||||||
\(930\) | −0.284188 | + | 2.63827i | −0.00931890 | + | 0.0865123i | ||||
\(931\) | 29.6277 | + | 40.7791i | 0.971010 | + | 1.33648i | ||||
\(932\) | −4.13865 | + | 22.7468i | −0.135566 | + | 0.745097i | ||||
\(933\) | 0.445544 | − | 0.323707i | 0.0145865 | − | 0.0105977i | ||||
\(934\) | 0.0212301 | + | 0.0931130i | 0.000694671 | + | 0.00304675i | ||||
\(935\) | −1.00711 | − | 1.43789i | −0.0329361 | − | 0.0470240i | ||||
\(936\) | 19.9930 | − | 30.2431i | 0.653490 | − | 0.988526i | ||||
\(937\) | −15.2292 | + | 4.94826i | −0.497516 | + | 0.161653i | −0.547017 | − | 0.837121i | \(-0.684237\pi\) |
0.0495015 | + | 0.998774i | \(0.484237\pi\) | |||||||
\(938\) | −55.6437 | + | 12.6870i | −1.81683 | + | 0.414244i | ||||
\(939\) | −0.230951 | − | 0.0750406i | −0.00753681 | − | 0.00244886i | ||||
\(940\) | −25.9079 | + | 11.9141i | −0.845021 | + | 0.388596i | ||||
\(941\) | −33.5449 | + | 10.8994i | −1.09353 | + | 0.355311i | −0.799611 | − | 0.600519i | \(-0.794961\pi\) |
−0.293923 | + | 0.955829i | \(0.594961\pi\) | |||||||
\(942\) | −2.86221 | + | 1.70921i | −0.0932560 | + | 0.0556890i | ||||
\(943\) | − | 33.9244i | − | 1.10473i | ||||||
\(944\) | −2.89283 | − | 10.5193i | −0.0941535 | − | 0.342374i | ||||
\(945\) | 6.74328 | + | 0.116780i | 0.219359 | + | 0.00379886i | ||||
\(946\) | −0.647183 | + | 0.740420i | −0.0210417 | + | 0.0240731i | ||||
\(947\) | 13.2108 | + | 9.59818i | 0.429292 | + | 0.311899i | 0.781366 | − | 0.624073i | \(-0.214523\pi\) |
−0.352074 | + | 0.935972i | \(0.614523\pi\) | |||||||
\(948\) | −0.523403 | + | 0.971586i | −0.0169994 | + | 0.0315556i | ||||
\(949\) | 32.4211i | 1.05243i | ||||||||
\(950\) | 24.3686 | − | 26.0042i | 0.790622 | − | 0.843689i | ||||
\(951\) | −1.50660 | −0.0488549 | ||||||||
\(952\) | 16.2073 | − | 24.5165i | 0.525281 | − | 0.794585i | ||||
\(953\) | −9.40127 | + | 12.9397i | −0.304537 | + | 0.419159i | −0.933668 | − | 0.358140i | \(-0.883411\pi\) |
0.629131 | + | 0.777299i | \(0.283411\pi\) | |||||||
\(954\) | −14.9783 | − | 13.0922i | −0.484941 | − | 0.423875i | ||||
\(955\) | 23.2949 | + | 33.2589i | 0.753806 | + | 1.07623i | ||||
\(956\) | 1.03773 | − | 0.499162i | 0.0335626 | − | 0.0161441i | ||||
\(957\) | −0.0236556 | −0.000764677 | ||||||||
\(958\) | 44.8207 | − | 26.7652i | 1.44809 | − | 0.864746i | ||||
\(959\) | 17.1910 | + | 52.9084i | 0.555126 | + | 1.70850i | ||||
\(960\) | −2.02610 | + | 0.821577i | −0.0653921 | + | 0.0265163i | ||||
\(961\) | 4.98671 | − | 15.3475i | 0.160862 | − | 0.495081i | ||||
\(962\) | −11.5964 | − | 50.8605i | −0.373882 | − | 1.63981i | ||||
\(963\) | −15.4095 | − | 47.4256i | −0.496564 | − | 1.52827i | ||||
\(964\) | 0.839593 | − | 1.55852i | 0.0270415 | − | 0.0501966i | ||||
\(965\) | −10.6299 | − | 34.7518i | −0.342188 | − | 1.11870i | ||||
\(966\) | −1.01053 | − | 4.43207i | −0.0325132 | − | 0.142599i | ||||
\(967\) | 27.9288 | + | 38.4407i | 0.898129 | + | 1.23617i | 0.971061 | + | 0.238832i | \(0.0767646\pi\) |
−0.0729314 | + | 0.997337i | \(0.523235\pi\) | |||||||
\(968\) | −29.7212 | − | 8.22440i | −0.955277 | − | 0.264342i | ||||
\(969\) | −1.25583 | + | 0.912412i | −0.0403430 | + | 0.0293109i | ||||
\(970\) | −1.85588 | − | 1.67974i | −0.0595886 | − | 0.0539333i | ||||
\(971\) | 27.8358 | − | 38.3127i | 0.893294 | − | 1.22951i | −0.0792647 | − | 0.996854i | \(-0.525257\pi\) |
0.972558 | − | 0.232660i | \(-0.0747428\pi\) | |||||||
\(972\) | −4.52853 | − | 4.74079i | −0.145253 | − | 0.152061i | ||||
\(973\) | −12.9165 | + | 39.7528i | −0.414083 | + | 1.27442i | ||||
\(974\) | 0.751479 | − | 8.32837i | 0.0240789 | − | 0.266858i | ||||
\(975\) | −0.723976 | − | 2.52219i | −0.0231858 | − | 0.0807749i | ||||
\(976\) | −19.1965 | + | 51.0075i | −0.614464 | + | 1.63271i | ||||
\(977\) | 21.1525 | + | 6.87286i | 0.676728 | + | 0.219882i | 0.627162 | − | 0.778889i | \(-0.284216\pi\) |
0.0495655 | + | 0.998771i | \(0.484216\pi\) | |||||||
\(978\) | 1.19508 | + | 1.04459i | 0.0382143 | + | 0.0334022i | ||||
\(979\) | 1.55971 | − | 2.14676i | 0.0498486 | − | 0.0686107i | ||||
\(980\) | 39.0035 | + | 21.8913i | 1.24592 | + | 0.699292i | ||||
\(981\) | 25.6497 | + | 35.3038i | 0.818933 | + | 1.12716i | ||||
\(982\) | 4.51235 | − | 50.0087i | 0.143995 | − | 1.59584i | ||||
\(983\) | −27.0299 | − | 37.2035i | −0.862121 | − | 1.18661i | −0.981060 | − | 0.193707i | \(-0.937949\pi\) |
0.118938 | − | 0.992902i | \(-0.462051\pi\) | |||||||
\(984\) | 0.0812330 | + | 1.83680i | 0.00258961 | + | 0.0585549i | ||||
\(985\) | 24.3746 | + | 8.38913i | 0.776641 | + | 0.267300i | ||||
\(986\) | 0.870666 | − | 2.03574i | 0.0277277 | − | 0.0648312i | ||||
\(987\) | 0.992976 | + | 3.05607i | 0.0316068 | + | 0.0972756i | ||||
\(988\) | −42.8936 | + | 5.79044i | −1.36463 | + | 0.184218i | ||||
\(989\) | −13.5401 | − | 4.39944i | −0.430550 | − | 0.139894i | ||||
\(990\) | −2.92389 | − | 0.314954i | −0.0929272 | − | 0.0100099i | ||||
\(991\) | −4.44841 | − | 13.6908i | −0.141308 | − | 0.434902i | 0.855209 | − | 0.518283i | \(-0.173428\pi\) |
−0.996518 | + | 0.0833801i | \(0.973428\pi\) | |||||||
\(992\) | 38.2218 | − | 6.89128i | 1.21354 | − | 0.218798i | ||||
\(993\) | 3.20406i | 0.101678i | ||||||||
\(994\) | 24.5144 | + | 41.0515i | 0.777551 | + | 1.30207i | ||||
\(995\) | 31.9729 | − | 9.77987i | 1.01361 | − | 0.310043i | ||||
\(996\) | −1.19444 | − | 1.25043i | −0.0378473 | − | 0.0396213i | ||||
\(997\) | 0.677675 | + | 0.492360i | 0.0214622 | + | 0.0155932i | 0.598465 | − | 0.801149i | \(-0.295778\pi\) |
−0.577002 | + | 0.816742i | \(0.695778\pi\) | |||||||
\(998\) | −32.1707 | − | 13.7591i | −1.01835 | − | 0.435537i | ||||
\(999\) | −6.28379 | −0.198810 |
(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 | 200.2.o.a.29.11 | ✓ | 112 | |
4.3 | odd | 2 | 800.2.be.a.529.15 | 112 | |||
5.2 | odd | 4 | 1000.2.t.b.101.8 | 224 | |||
5.3 | odd | 4 | 1000.2.t.b.101.49 | 224 | |||
5.4 | even | 2 | 1000.2.o.a.149.18 | 112 | |||
8.3 | odd | 2 | 800.2.be.a.529.14 | 112 | |||
8.5 | even | 2 | inner | 200.2.o.a.29.18 | yes | 112 | |
25.6 | even | 5 | 1000.2.o.a.349.11 | 112 | |||
25.8 | odd | 20 | 1000.2.t.b.901.5 | 224 | |||
25.17 | odd | 20 | 1000.2.t.b.901.52 | 224 | |||
25.19 | even | 10 | inner | 200.2.o.a.69.18 | yes | 112 | |
40.13 | odd | 4 | 1000.2.t.b.101.5 | 224 | |||
40.29 | even | 2 | 1000.2.o.a.149.11 | 112 | |||
40.37 | odd | 4 | 1000.2.t.b.101.52 | 224 | |||
100.19 | odd | 10 | 800.2.be.a.369.14 | 112 | |||
200.19 | odd | 10 | 800.2.be.a.369.15 | 112 | |||
200.69 | even | 10 | inner | 200.2.o.a.69.11 | yes | 112 | |
200.117 | odd | 20 | 1000.2.t.b.901.8 | 224 | |||
200.133 | odd | 20 | 1000.2.t.b.901.49 | 224 | |||
200.181 | even | 10 | 1000.2.o.a.349.18 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.2.o.a.29.11 | ✓ | 112 | 1.1 | even | 1 | trivial | |
200.2.o.a.29.18 | yes | 112 | 8.5 | even | 2 | inner | |
200.2.o.a.69.11 | yes | 112 | 200.69 | even | 10 | inner | |
200.2.o.a.69.18 | yes | 112 | 25.19 | even | 10 | inner | |
800.2.be.a.369.14 | 112 | 100.19 | odd | 10 | |||
800.2.be.a.369.15 | 112 | 200.19 | odd | 10 | |||
800.2.be.a.529.14 | 112 | 8.3 | odd | 2 | |||
800.2.be.a.529.15 | 112 | 4.3 | odd | 2 | |||
1000.2.o.a.149.11 | 112 | 40.29 | even | 2 | |||
1000.2.o.a.149.18 | 112 | 5.4 | even | 2 | |||
1000.2.o.a.349.11 | 112 | 25.6 | even | 5 | |||
1000.2.o.a.349.18 | 112 | 200.181 | even | 10 | |||
1000.2.t.b.101.5 | 224 | 40.13 | odd | 4 | |||
1000.2.t.b.101.8 | 224 | 5.2 | odd | 4 | |||
1000.2.t.b.101.49 | 224 | 5.3 | odd | 4 | |||
1000.2.t.b.101.52 | 224 | 40.37 | odd | 4 | |||
1000.2.t.b.901.5 | 224 | 25.8 | odd | 20 | |||
1000.2.t.b.901.8 | 224 | 200.117 | odd | 20 | |||
1000.2.t.b.901.49 | 224 | 200.133 | odd | 20 | |||
1000.2.t.b.901.52 | 224 | 25.17 | odd | 20 |