Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.a.691.4 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | −1.76134 | − | 1.95617i | −1.01691 | − | 1.12939i | −0.991551 | − | 0.129716i | \(-0.958594\pi\) |
−0.0253597 | − | 0.999678i | \(-0.508073\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −1.69383 | + | 1.45977i | −0.757505 | + | 0.652830i | ||||
\(6\) | 1.76134 | − | 1.95617i | 0.719065 | − | 0.798602i | ||||
\(7\) | −4.49296 | −1.69818 | −0.849089 | − | 0.528249i | \(-0.822849\pi\) | ||||
−0.849089 | + | 0.528249i | \(0.822849\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −0.410684 | + | 3.90739i | −0.136895 | + | 1.30246i | ||||
\(10\) | −1.62883 | − | 1.53197i | −0.515081 | − | 0.484450i | ||||
\(11\) | −4.28142 | + | 3.11064i | −1.29090 | + | 0.937892i | −0.999823 | − | 0.0188081i | \(-0.994013\pi\) |
−0.291075 | + | 0.956700i | \(0.594013\pi\) | |||||||
\(12\) | 2.12956 | + | 1.54722i | 0.614752 | + | 0.446643i | ||||
\(13\) | 0.232223 | − | 2.20946i | 0.0644072 | − | 0.612793i | −0.913944 | − | 0.405841i | \(-0.866979\pi\) |
0.978351 | − | 0.206953i | \(-0.0663546\pi\) | |||||||
\(14\) | −0.469642 | − | 4.46835i | −0.125517 | − | 1.19422i | ||||
\(15\) | 5.83897 | + | 0.742263i | 1.50762 | + | 0.191652i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 5.07250 | + | 1.07819i | 1.23026 | + | 0.261500i | 0.776784 | − | 0.629767i | \(-0.216850\pi\) |
0.453478 | + | 0.891268i | \(0.350183\pi\) | |||||||
\(18\) | −3.92892 | −0.926054 | ||||||||
\(19\) | −3.33146 | − | 2.81093i | −0.764290 | − | 0.644872i | ||||
\(20\) | 1.35331 | − | 1.78004i | 0.302610 | − | 0.398029i | ||||
\(21\) | 7.91363 | + | 8.78898i | 1.72690 | + | 1.91791i | ||||
\(22\) | −3.54113 | − | 3.93282i | −0.754971 | − | 0.838480i | ||||
\(23\) | 4.70598 | + | 2.09524i | 0.981264 | + | 0.436887i | 0.833731 | − | 0.552170i | \(-0.186200\pi\) |
0.147533 | + | 0.989057i | \(0.452867\pi\) | |||||||
\(24\) | −1.31614 | + | 2.27962i | −0.268656 | + | 0.465326i | ||||
\(25\) | 0.738134 | − | 4.94522i | 0.147627 | − | 0.989043i | ||||
\(26\) | 2.22163 | 0.435697 | ||||||||
\(27\) | 1.97818 | − | 1.43723i | 0.380702 | − | 0.276596i | ||||
\(28\) | 4.39478 | − | 0.934139i | 0.830535 | − | 0.176536i | ||||
\(29\) | −2.60308 | + | 0.553302i | −0.483380 | + | 0.102746i | −0.443155 | − | 0.896445i | \(-0.646141\pi\) |
−0.0402252 | + | 0.999191i | \(0.512808\pi\) | |||||||
\(30\) | −0.127858 | + | 5.88458i | −0.0233436 | + | 1.07437i | ||||
\(31\) | 0.561595 | + | 1.72841i | 0.100865 | + | 0.310432i | 0.988738 | − | 0.149658i | \(-0.0478173\pi\) |
−0.887872 | + | 0.460090i | \(0.847817\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 13.6260 | + | 2.89629i | 2.37198 | + | 0.504179i | ||||
\(34\) | −0.542066 | + | 5.15741i | −0.0929635 | + | 0.884489i | ||||
\(35\) | 7.61032 | − | 6.55869i | 1.28638 | − | 1.10862i | ||||
\(36\) | −0.410684 | − | 3.90739i | −0.0684473 | − | 0.651232i | ||||
\(37\) | −4.79007 | − | 3.48019i | −0.787483 | − | 0.572140i | 0.119732 | − | 0.992806i | \(-0.461796\pi\) |
−0.907216 | + | 0.420666i | \(0.861796\pi\) | |||||||
\(38\) | 2.44730 | − | 3.60704i | 0.397005 | − | 0.585139i | ||||
\(39\) | −4.73110 | + | 3.43734i | −0.757582 | + | 0.550415i | ||||
\(40\) | 1.91175 | + | 1.15984i | 0.302274 | + | 0.183386i | ||||
\(41\) | −4.14256 | + | 1.84439i | −0.646959 | + | 0.288045i | −0.703864 | − | 0.710335i | \(-0.748543\pi\) |
0.0569049 | + | 0.998380i | \(0.481877\pi\) | |||||||
\(42\) | −7.91363 | + | 8.78898i | −1.22110 | + | 1.35617i | ||||
\(43\) | 5.83371 | − | 10.1043i | 0.889632 | − | 1.54089i | 0.0493220 | − | 0.998783i | \(-0.484294\pi\) |
0.840310 | − | 0.542106i | \(-0.182373\pi\) | |||||||
\(44\) | 3.54113 | − | 3.93282i | 0.533845 | − | 0.592895i | ||||
\(45\) | −5.00827 | − | 7.21797i | −0.746589 | − | 1.07599i | ||||
\(46\) | −1.59185 | + | 4.89921i | −0.234705 | + | 0.722349i | ||||
\(47\) | 6.56563 | − | 1.39557i | 0.957695 | − | 0.203564i | 0.297553 | − | 0.954705i | \(-0.403829\pi\) |
0.660142 | + | 0.751141i | \(0.270496\pi\) | |||||||
\(48\) | −2.40471 | − | 1.07065i | −0.347090 | − | 0.154534i | ||||
\(49\) | 13.1867 | 1.88381 | ||||||||
\(50\) | 4.99528 | + | 0.217174i | 0.706439 | + | 0.0307131i | ||||
\(51\) | −6.82528 | − | 11.8217i | −0.955730 | − | 1.65537i | ||||
\(52\) | 0.232223 | + | 2.20946i | 0.0322036 | + | 0.306397i | ||||
\(53\) | 9.51434 | − | 2.02234i | 1.30690 | − | 0.277789i | 0.498736 | − | 0.866754i | \(-0.333798\pi\) |
0.808159 | + | 0.588965i | \(0.200464\pi\) | |||||||
\(54\) | 1.63614 | + | 1.81712i | 0.222650 | + | 0.247278i | ||||
\(55\) | 2.71119 | − | 11.5188i | 0.365577 | − | 1.55319i | ||||
\(56\) | 1.38840 | + | 4.27306i | 0.185533 | + | 0.571011i | ||||
\(57\) | 0.369191 | + | 11.4679i | 0.0489005 | + | 1.51896i | ||||
\(58\) | −0.822367 | − | 2.53099i | −0.107982 | − | 0.332335i | ||||
\(59\) | −9.35244 | + | 4.16398i | −1.21758 | + | 0.542103i | −0.912051 | − | 0.410078i | \(-0.865502\pi\) |
−0.305534 | + | 0.952181i | \(0.598835\pi\) | |||||||
\(60\) | −5.86570 | + | 0.487948i | −0.757259 | + | 0.0629938i | ||||
\(61\) | 4.26755 | + | 1.90003i | 0.546403 | + | 0.243274i | 0.661324 | − | 0.750100i | \(-0.269995\pi\) |
−0.114921 | + | 0.993375i | \(0.536661\pi\) | |||||||
\(62\) | −1.66024 | + | 0.739186i | −0.210851 | + | 0.0938768i | ||||
\(63\) | 1.84518 | − | 17.5558i | 0.232471 | − | 2.21182i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 2.83196 | + | 4.08144i | 0.351261 | + | 0.506241i | ||||
\(66\) | −1.45612 | + | 13.8541i | −0.179236 | + | 1.70532i | ||||
\(67\) | −6.30441 | + | 7.00175i | −0.770206 | + | 0.855400i | −0.992834 | − | 0.119503i | \(-0.961870\pi\) |
0.222628 | + | 0.974903i | \(0.428537\pi\) | |||||||
\(68\) | −5.18582 | −0.628873 | ||||||||
\(69\) | −4.19020 | − | 12.8961i | −0.504441 | − | 1.55251i | ||||
\(70\) | 7.31826 | + | 6.88306i | 0.874699 | + | 0.822683i | ||||
\(71\) | −7.54398 | − | 8.37844i | −0.895305 | − | 0.994337i | 0.104695 | − | 0.994504i | \(-0.466614\pi\) |
−1.00000 | 0.000166968i | \(0.999947\pi\) | ||||||||
\(72\) | 3.84306 | − | 0.816868i | 0.452909 | − | 0.0962688i | ||||
\(73\) | −0.0205399 | − | 0.195424i | −0.00240401 | − | 0.0228726i | 0.993254 | − | 0.115958i | \(-0.0369938\pi\) |
−0.995658 | + | 0.0930852i | \(0.970327\pi\) | |||||||
\(74\) | 2.96043 | − | 5.12761i | 0.344143 | − | 0.596073i | ||||
\(75\) | −10.9738 | + | 7.26630i | −1.26714 | + | 0.839040i | ||||
\(76\) | 3.84309 | + | 2.05686i | 0.440833 | + | 0.235938i | ||||
\(77\) | 19.2363 | − | 13.9760i | 2.19218 | − | 1.59271i | ||||
\(78\) | −3.91305 | − | 4.34588i | −0.443065 | − | 0.492074i | ||||
\(79\) | 6.99937 | + | 7.77359i | 0.787490 | + | 0.874597i | 0.994607 | − | 0.103720i | \(-0.0330745\pi\) |
−0.207116 | + | 0.978316i | \(0.566408\pi\) | |||||||
\(80\) | −0.953650 | + | 2.02251i | −0.106621 | + | 0.226124i | ||||
\(81\) | 5.23345 | + | 1.11240i | 0.581494 | + | 0.123600i | ||||
\(82\) | −2.26730 | − | 3.92707i | −0.250381 | − | 0.433673i | ||||
\(83\) | 1.91192 | + | 5.88429i | 0.209861 | + | 0.645885i | 0.999479 | + | 0.0322860i | \(0.0102788\pi\) |
−0.789618 | + | 0.613599i | \(0.789721\pi\) | |||||||
\(84\) | −9.56803 | − | 6.95158i | −1.04396 | − | 0.758480i | ||||
\(85\) | −10.1659 | + | 5.57841i | −1.10264 | + | 0.605064i | ||||
\(86\) | 10.6587 | + | 4.74557i | 1.14936 | + | 0.511728i | ||||
\(87\) | 5.66727 | + | 4.11751i | 0.607595 | + | 0.441443i | ||||
\(88\) | 4.28142 | + | 3.11064i | 0.456401 | + | 0.331595i | ||||
\(89\) | 7.93824 | + | 3.53433i | 0.841452 | + | 0.374639i | 0.781761 | − | 0.623578i | \(-0.214322\pi\) |
0.0596913 | + | 0.998217i | \(0.480988\pi\) | |||||||
\(90\) | 6.65492 | − | 5.73532i | 0.701491 | − | 0.604556i | ||||
\(91\) | −1.04337 | + | 9.92701i | −0.109375 | + | 1.04063i | ||||
\(92\) | −5.03876 | − | 1.07102i | −0.525327 | − | 0.111662i | ||||
\(93\) | 2.39190 | − | 4.14289i | 0.248029 | − | 0.429598i | ||||
\(94\) | 2.07422 | + | 6.38378i | 0.213939 | + | 0.658437i | ||||
\(95\) | 9.74626 | − | 0.101930i | 0.999945 | − | 0.0104578i | ||||
\(96\) | 0.813420 | − | 2.50345i | 0.0830194 | − | 0.255507i | ||||
\(97\) | 8.65610 | + | 9.61358i | 0.878894 | + | 0.976111i | 0.999863 | − | 0.0165455i | \(-0.00526683\pi\) |
−0.120969 | + | 0.992656i | \(0.538600\pi\) | |||||||
\(98\) | 1.37838 | + | 13.1144i | 0.139238 | + | 1.32476i | ||||
\(99\) | −10.3962 | − | 18.0067i | −1.04485 | − | 1.80974i | ||||
\(100\) | 0.306164 | + | 4.99062i | 0.0306164 | + | 0.499062i | ||||
\(101\) | 3.19900 | + | 5.54083i | 0.318313 | + | 0.551334i | 0.980136 | − | 0.198326i | \(-0.0635505\pi\) |
−0.661824 | + | 0.749660i | \(0.730217\pi\) | |||||||
\(102\) | 11.0435 | − | 8.02359i | 1.09347 | − | 0.794454i | ||||
\(103\) | 1.16033 | − | 3.57113i | 0.114331 | − | 0.351874i | −0.877476 | − | 0.479621i | \(-0.840774\pi\) |
0.991807 | + | 0.127746i | \(0.0407743\pi\) | |||||||
\(104\) | −2.17308 | + | 0.461903i | −0.213088 | + | 0.0452933i | ||||
\(105\) | −26.2343 | − | 3.33496i | −2.56020 | − | 0.325459i | ||||
\(106\) | 3.00578 | + | 9.25083i | 0.291947 | + | 0.898520i | ||||
\(107\) | −2.70355 | −0.261362 | −0.130681 | − | 0.991424i | \(-0.541716\pi\) | ||||
−0.130681 | + | 0.991424i | \(0.541716\pi\) | |||||||
\(108\) | −1.63614 | + | 1.81712i | −0.157437 | + | 0.174852i | ||||
\(109\) | −1.97222 | + | 0.878089i | −0.188904 | + | 0.0841056i | −0.499009 | − | 0.866597i | \(-0.666303\pi\) |
0.310105 | + | 0.950702i | \(0.399636\pi\) | |||||||
\(110\) | 11.7391 | + | 1.49230i | 1.11928 | + | 0.142285i | ||||
\(111\) | 1.62912 | + | 15.5000i | 0.154629 | + | 1.47119i | ||||
\(112\) | −4.10452 | + | 1.82745i | −0.387841 | + | 0.172678i | ||||
\(113\) | −15.1106 | − | 10.9785i | −1.42148 | − | 1.03277i | −0.991524 | − | 0.129922i | \(-0.958527\pi\) |
−0.429961 | − | 0.902848i | \(-0.641473\pi\) | |||||||
\(114\) | −11.3665 | + | 1.56589i | −1.06457 | + | 0.146659i | ||||
\(115\) | −11.0297 | + | 3.32067i | −1.02852 | + | 0.309654i | ||||
\(116\) | 2.43116 | − | 1.08242i | 0.225728 | − | 0.100500i | ||||
\(117\) | 8.53785 | + | 1.81478i | 0.789325 | + | 0.167776i | ||||
\(118\) | −5.11876 | − | 8.86595i | −0.471220 | − | 0.816177i | ||||
\(119\) | −22.7905 | − | 4.84428i | −2.08920 | − | 0.444074i | ||||
\(120\) | −1.09841 | − | 5.78257i | −0.100270 | − | 0.527874i | ||||
\(121\) | 5.25534 | − | 16.1743i | 0.477759 | − | 1.47039i | ||||
\(122\) | −1.44355 | + | 4.44277i | −0.130692 | + | 0.402230i | ||||
\(123\) | 10.9044 | + | 4.85495i | 0.983216 | + | 0.437756i | ||||
\(124\) | −0.908679 | − | 1.57388i | −0.0816018 | − | 0.141338i | ||||
\(125\) | 5.96861 | + | 9.45387i | 0.533849 | + | 0.845580i | ||||
\(126\) | 17.6525 | 1.57261 | ||||||||
\(127\) | −11.7142 | − | 5.21552i | −1.03947 | − | 0.462802i | −0.185238 | − | 0.982694i | \(-0.559306\pi\) |
−0.854232 | + | 0.519891i | \(0.825972\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | −30.0408 | + | 6.38537i | −2.64495 | + | 0.562201i | ||||
\(130\) | −3.76307 | + | 3.24307i | −0.330043 | + | 0.284436i | ||||
\(131\) | 15.9032 | + | 3.38034i | 1.38947 | + | 0.295341i | 0.841094 | − | 0.540890i | \(-0.181912\pi\) |
0.548378 | + | 0.836231i | \(0.315246\pi\) | |||||||
\(132\) | −13.9304 | −1.21248 | ||||||||
\(133\) | 14.9681 | + | 12.6294i | 1.29790 | + | 1.09511i | ||||
\(134\) | −7.62239 | − | 5.53799i | −0.658474 | − | 0.478409i | ||||
\(135\) | −1.25268 | + | 5.32213i | −0.107813 | + | 0.458056i | ||||
\(136\) | −0.542066 | − | 5.15741i | −0.0464818 | − | 0.442244i | ||||
\(137\) | 0.582920 | − | 5.54611i | 0.0498022 | − | 0.473836i | −0.940989 | − | 0.338437i | \(-0.890102\pi\) |
0.990791 | − | 0.135399i | \(-0.0432316\pi\) | |||||||
\(138\) | 12.3875 | − | 5.51525i | 1.05449 | − | 0.469490i | ||||
\(139\) | −0.472956 | − | 0.210574i | −0.0401156 | − | 0.0178606i | 0.386581 | − | 0.922256i | \(-0.373656\pi\) |
−0.426696 | + | 0.904395i | \(0.640323\pi\) | |||||||
\(140\) | −6.08038 | + | 7.99764i | −0.513886 | + | 0.675924i | ||||
\(141\) | −14.2943 | − | 10.3854i | −1.20379 | − | 0.874608i | ||||
\(142\) | 7.54398 | − | 8.37844i | 0.633077 | − | 0.703103i | ||||
\(143\) | 5.87857 | + | 10.1820i | 0.491591 | + | 0.851461i | ||||
\(144\) | 1.21410 | + | 3.73662i | 0.101175 | + | 0.311385i | ||||
\(145\) | 3.60149 | − | 4.73711i | 0.299087 | − | 0.393395i | ||||
\(146\) | 0.192206 | − | 0.0408547i | 0.0159071 | − | 0.00338116i | ||||
\(147\) | −23.2262 | − | 25.7954i | −1.91567 | − | 2.12757i | ||||
\(148\) | 5.40897 | + | 2.40823i | 0.444615 | + | 0.197955i | ||||
\(149\) | 2.68871 | − | 4.65699i | 0.220268 | − | 0.381515i | −0.734621 | − | 0.678477i | \(-0.762640\pi\) |
0.954889 | + | 0.296962i | \(0.0959735\pi\) | |||||||
\(150\) | −8.37357 | − | 10.1541i | −0.683699 | − | 0.829081i | ||||
\(151\) | −4.61041 | −0.375190 | −0.187595 | − | 0.982246i | \(-0.560069\pi\) | ||||
−0.187595 | + | 0.982246i | \(0.560069\pi\) | |||||||
\(152\) | −1.64388 | + | 4.03704i | −0.133336 | + | 0.327447i | ||||
\(153\) | −6.29611 | + | 19.3774i | −0.509011 | + | 1.56657i | ||||
\(154\) | 15.9101 | + | 17.6700i | 1.28208 | + | 1.42389i | ||||
\(155\) | −3.47433 | − | 2.10784i | −0.279065 | − | 0.169306i | ||||
\(156\) | 3.91305 | − | 4.34588i | 0.313294 | − | 0.347949i | ||||
\(157\) | 2.54655 | − | 4.41076i | 0.203237 | − | 0.352017i | −0.746332 | − | 0.665573i | \(-0.768187\pi\) |
0.949570 | + | 0.313556i | \(0.101520\pi\) | |||||||
\(158\) | −6.99937 | + | 7.77359i | −0.556840 | + | 0.618433i | ||||
\(159\) | −20.7140 | − | 15.0496i | −1.64273 | − | 1.19351i | ||||
\(160\) | −2.11112 | − | 0.737016i | −0.166898 | − | 0.0582662i | ||||
\(161\) | −21.1438 | − | 9.41381i | −1.66636 | − | 0.741912i | ||||
\(162\) | −0.559266 | + | 5.32106i | −0.0439401 | + | 0.418062i | ||||
\(163\) | −11.1913 | − | 8.13097i | −0.876572 | − | 0.636867i | 0.0557703 | − | 0.998444i | \(-0.482239\pi\) |
−0.932342 | + | 0.361577i | \(0.882239\pi\) | |||||||
\(164\) | 3.66856 | − | 2.66537i | 0.286467 | − | 0.208130i | ||||
\(165\) | −27.3080 | + | 14.9850i | −2.12593 | + | 1.16658i | ||||
\(166\) | −5.65221 | + | 2.51652i | −0.438696 | + | 0.195320i | ||||
\(167\) | 6.66858 | − | 7.40621i | 0.516030 | − | 0.573110i | −0.427660 | − | 0.903940i | \(-0.640662\pi\) |
0.943690 | + | 0.330830i | \(0.107329\pi\) | |||||||
\(168\) | 5.91337 | − | 10.2423i | 0.456226 | − | 0.790207i | ||||
\(169\) | 7.88814 | + | 1.67668i | 0.606780 | + | 0.128975i | ||||
\(170\) | −6.61048 | − | 9.52708i | −0.507000 | − | 0.730694i | ||||
\(171\) | 12.3516 | − | 11.8629i | 0.944550 | − | 0.907182i | ||||
\(172\) | −3.60543 | + | 11.0964i | −0.274912 | + | 0.846091i | ||||
\(173\) | 1.36903 | + | 13.0255i | 0.104086 | + | 0.990309i | 0.914537 | + | 0.404503i | \(0.132555\pi\) |
−0.810451 | + | 0.585806i | \(0.800778\pi\) | |||||||
\(174\) | −3.50256 | + | 6.06662i | −0.265529 | + | 0.459909i | ||||
\(175\) | −3.31640 | + | 22.2187i | −0.250697 | + | 1.67957i | ||||
\(176\) | −2.64607 | + | 4.58312i | −0.199455 | + | 0.345466i | ||||
\(177\) | 24.6183 | + | 10.9608i | 1.85042 | + | 0.823861i | ||||
\(178\) | −2.68520 | + | 8.26420i | −0.201264 | + | 0.619428i | ||||
\(179\) | −0.626614 | + | 1.92852i | −0.0468353 | + | 0.144144i | −0.971739 | − | 0.236056i | \(-0.924145\pi\) |
0.924904 | + | 0.380201i | \(0.124145\pi\) | |||||||
\(180\) | 6.39953 | + | 6.01896i | 0.476993 | + | 0.448627i | ||||
\(181\) | −1.14632 | + | 1.27311i | −0.0852050 | + | 0.0946298i | −0.784240 | − | 0.620458i | \(-0.786947\pi\) |
0.699035 | + | 0.715088i | \(0.253613\pi\) | |||||||
\(182\) | −9.98169 | −0.739892 | ||||||||
\(183\) | −3.79982 | − | 11.6946i | −0.280891 | − | 0.864493i | ||||
\(184\) | 0.538461 | − | 5.12311i | 0.0396959 | − | 0.377681i | ||||
\(185\) | 13.1939 | − | 1.09755i | 0.970032 | − | 0.0806937i | ||||
\(186\) | 4.37022 | + | 1.94575i | 0.320440 | + | 0.142669i | ||||
\(187\) | −25.0714 | + | 11.1625i | −1.83340 | + | 0.816283i | ||||
\(188\) | −6.13200 | + | 2.73014i | −0.447222 | + | 0.199116i | ||||
\(189\) | −8.88790 | + | 6.45744i | −0.646500 | + | 0.469709i | ||||
\(190\) | 1.12013 | + | 9.68222i | 0.0812630 | + | 0.702422i | ||||
\(191\) | 19.1944 | + | 13.9455i | 1.38885 | + | 1.00906i | 0.995990 | + | 0.0894657i | \(0.0285160\pi\) |
0.392865 | + | 0.919596i | \(0.371484\pi\) | |||||||
\(192\) | 2.57476 | + | 0.547282i | 0.185817 | + | 0.0394967i | ||||
\(193\) | −5.49382 | + | 9.51557i | −0.395454 | + | 0.684946i | −0.993159 | − | 0.116770i | \(-0.962746\pi\) |
0.597705 | + | 0.801716i | \(0.296079\pi\) | |||||||
\(194\) | −8.65610 | + | 9.61358i | −0.621472 | + | 0.690215i | ||||
\(195\) | 2.99595 | − | 12.7286i | 0.214544 | − | 0.911514i | ||||
\(196\) | −12.8985 | + | 2.74166i | −0.921323 | + | 0.195833i | ||||
\(197\) | 1.81562 | − | 5.58790i | 0.129357 | − | 0.398121i | −0.865312 | − | 0.501233i | \(-0.832880\pi\) |
0.994670 | + | 0.103112i | \(0.0328800\pi\) | |||||||
\(198\) | 16.8214 | − | 12.2214i | 1.19544 | − | 0.868539i | ||||
\(199\) | −8.79261 | − | 15.2293i | −0.623292 | − | 1.07957i | −0.988869 | − | 0.148792i | \(-0.952462\pi\) |
0.365577 | − | 0.930781i | \(-0.380872\pi\) | |||||||
\(200\) | −4.93128 | + | 0.826149i | −0.348694 | + | 0.0584175i | ||||
\(201\) | 24.8008 | 1.74931 | ||||||||
\(202\) | −5.17609 | + | 3.76065i | −0.364189 | + | 0.264599i | ||||
\(203\) | 11.6955 | − | 2.48596i | 0.820866 | − | 0.174480i | ||||
\(204\) | 9.13400 | + | 10.1443i | 0.639508 | + | 0.710246i | ||||
\(205\) | 4.32442 | − | 9.17127i | 0.302030 | − | 0.640549i | ||||
\(206\) | 3.67286 | + | 0.780690i | 0.255900 | + | 0.0543932i | ||||
\(207\) | −10.1196 | + | 17.5276i | −0.703359 | + | 1.21825i | ||||
\(208\) | −0.686521 | − | 2.11289i | −0.0476017 | − | 0.146503i | ||||
\(209\) | 23.0072 | + | 1.67182i | 1.59144 | + | 0.115642i | ||||
\(210\) | 0.574462 | − | 26.4392i | 0.0396416 | − | 1.82448i | ||||
\(211\) | −0.346856 | − | 3.30012i | −0.0238786 | − | 0.227189i | −0.999952 | − | 0.00975034i | \(-0.996896\pi\) |
0.976074 | − | 0.217439i | \(-0.0697703\pi\) | |||||||
\(212\) | −8.88596 | + | 3.95629i | −0.610290 | + | 0.271719i | ||||
\(213\) | −3.10211 | + | 29.5146i | −0.212553 | + | 2.02231i | ||||
\(214\) | −0.282598 | − | 2.68874i | −0.0193180 | − | 0.183798i | ||||
\(215\) | 4.86862 | + | 25.6308i | 0.332037 | + | 1.74801i | ||||
\(216\) | −1.97818 | − | 1.43723i | −0.134598 | − | 0.0977914i | ||||
\(217\) | −2.52322 | − | 7.76568i | −0.171287 | − | 0.527169i | ||||
\(218\) | −1.07943 | − | 1.86963i | −0.0731083 | − | 0.126627i | ||||
\(219\) | −0.346104 | + | 0.384387i | −0.0233875 | + | 0.0259745i | ||||
\(220\) | −0.257055 | + | 11.8308i | −0.0173307 | + | 0.797631i | ||||
\(221\) | 3.56018 | − | 10.9571i | 0.239483 | − | 0.737054i | ||||
\(222\) | −15.2448 | + | 3.24038i | −1.02316 | + | 0.217480i | ||||
\(223\) | 0.860585 | + | 8.18792i | 0.0576291 | + | 0.548304i | 0.984803 | + | 0.173673i | \(0.0555637\pi\) |
−0.927174 | + | 0.374630i | \(0.877770\pi\) | |||||||
\(224\) | −2.24648 | − | 3.89102i | −0.150099 | − | 0.259979i | ||||
\(225\) | 19.0198 | + | 4.91510i | 1.26798 | + | 0.327673i | ||||
\(226\) | 9.33886 | − | 16.1754i | 0.621212 | − | 1.07597i | ||||
\(227\) | 16.9762 | − | 12.3339i | 1.12675 | − | 0.818631i | 0.141531 | − | 0.989934i | \(-0.454798\pi\) |
0.985218 | + | 0.171302i | \(0.0547975\pi\) | |||||||
\(228\) | −2.74544 | − | 11.1406i | −0.181821 | − | 0.737801i | ||||
\(229\) | −0.159086 | + | 0.489616i | −0.0105127 | + | 0.0323548i | −0.956175 | − | 0.292795i | \(-0.905415\pi\) |
0.945663 | + | 0.325150i | \(0.105415\pi\) | |||||||
\(230\) | −4.45540 | − | 10.6222i | −0.293780 | − | 0.700405i | ||||
\(231\) | −61.2210 | − | 13.0129i | −4.02804 | − | 0.856187i | ||||
\(232\) | 1.33062 | + | 2.30470i | 0.0873594 | + | 0.151311i | ||||
\(233\) | −29.0089 | − | 6.16602i | −1.90043 | − | 0.403950i | −0.900887 | − | 0.434054i | \(-0.857083\pi\) |
−0.999547 | + | 0.0301042i | \(0.990416\pi\) | |||||||
\(234\) | −0.912386 | + | 8.68078i | −0.0596446 | + | 0.567480i | ||||
\(235\) | −9.08386 | + | 11.9482i | −0.592566 | + | 0.779413i | ||||
\(236\) | 8.28233 | − | 6.01746i | 0.539134 | − | 0.391704i | ||||
\(237\) | 2.87816 | − | 27.3839i | 0.186957 | − | 1.77877i | ||||
\(238\) | 2.43548 | − | 23.1720i | 0.157869 | − | 1.50202i | ||||
\(239\) | 16.8147 | − | 12.2166i | 1.08765 | − | 0.790227i | 0.108652 | − | 0.994080i | \(-0.465346\pi\) |
0.979001 | + | 0.203853i | \(0.0653465\pi\) | |||||||
\(240\) | 5.63607 | − | 1.69683i | 0.363807 | − | 0.109530i | ||||
\(241\) | −0.588824 | + | 5.60229i | −0.0379295 | + | 0.360875i | 0.959052 | + | 0.283231i | \(0.0914064\pi\) |
−0.996981 | + | 0.0776439i | \(0.975260\pi\) | |||||||
\(242\) | 16.6350 | + | 3.53588i | 1.06934 | + | 0.227295i | ||||
\(243\) | −10.7096 | − | 18.5496i | −0.687021 | − | 1.18996i | ||||
\(244\) | −4.56933 | − | 0.971241i | −0.292521 | − | 0.0621773i | ||||
\(245\) | −22.3360 | + | 19.2495i | −1.42700 | + | 1.22981i | ||||
\(246\) | −3.68853 | + | 11.3521i | −0.235172 | + | 0.723786i | ||||
\(247\) | −6.98428 | + | 6.70797i | −0.444399 | + | 0.426818i | ||||
\(248\) | 1.47027 | − | 1.06822i | 0.0933625 | − | 0.0678318i | ||||
\(249\) | 8.14311 | − | 14.1043i | 0.516049 | − | 0.893823i | ||||
\(250\) | −8.77819 | + | 6.92411i | −0.555182 | + | 0.437919i | ||||
\(251\) | −9.94788 | − | 17.2302i | −0.627905 | − | 1.08756i | −0.987971 | − | 0.154636i | \(-0.950579\pi\) |
0.360067 | − | 0.932927i | \(-0.382754\pi\) | |||||||
\(252\) | 1.84518 | + | 17.5558i | 0.116236 | + | 1.10591i | ||||
\(253\) | −26.6658 | + | 5.66799i | −1.67646 | + | 0.356343i | ||||
\(254\) | 3.96247 | − | 12.1952i | 0.248628 | − | 0.765197i | ||||
\(255\) | 28.8179 | + | 10.0607i | 1.80465 | + | 0.630024i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 6.27422 | + | 10.8673i | 0.391375 | + | 0.677882i | 0.992631 | − | 0.121175i | \(-0.0386661\pi\) |
−0.601256 | + | 0.799056i | \(0.705333\pi\) | |||||||
\(258\) | −9.49052 | − | 29.2088i | −0.590854 | − | 1.81846i | ||||
\(259\) | 21.5216 | + | 15.6364i | 1.33729 | + | 0.971596i | ||||
\(260\) | −3.61865 | − | 3.40346i | −0.224419 | − | 0.211073i | ||||
\(261\) | −1.09293 | − | 10.3985i | −0.0676504 | − | 0.643651i | ||||
\(262\) | −1.69948 | + | 16.1694i | −0.104994 | + | 0.998952i | ||||
\(263\) | −5.28782 | + | 2.35429i | −0.326061 | + | 0.145172i | −0.563238 | − | 0.826295i | \(-0.690445\pi\) |
0.237177 | + | 0.971466i | \(0.423778\pi\) | |||||||
\(264\) | −1.45612 | − | 13.8541i | −0.0896181 | − | 0.852659i | ||||
\(265\) | −13.1635 | + | 17.3143i | −0.808630 | + | 1.06361i | ||||
\(266\) | −10.9956 | + | 16.2063i | −0.674185 | + | 0.993670i | ||||
\(267\) | −7.06821 | − | 21.7537i | −0.432567 | − | 1.33131i | ||||
\(268\) | 4.71089 | − | 8.15951i | 0.287764 | − | 0.498421i | ||||
\(269\) | −18.2723 | − | 3.88390i | −1.11408 | − | 0.236805i | −0.386137 | − | 0.922441i | \(-0.626191\pi\) |
−0.727944 | + | 0.685636i | \(0.759524\pi\) | |||||||
\(270\) | −5.42392 | − | 0.689500i | −0.330089 | − | 0.0419617i | ||||
\(271\) | 4.20139 | + | 4.66612i | 0.255216 | + | 0.283446i | 0.857114 | − | 0.515127i | \(-0.172255\pi\) |
−0.601898 | + | 0.798573i | \(0.705589\pi\) | |||||||
\(272\) | 5.07250 | − | 1.07819i | 0.307565 | − | 0.0653750i | ||||
\(273\) | 21.2566 | − | 15.4438i | 1.28651 | − | 0.934704i | ||||
\(274\) | 5.57666 | 0.336898 | ||||||||
\(275\) | 12.2225 | + | 23.4686i | 0.737045 | + | 1.41521i | ||||
\(276\) | 6.77988 | + | 11.7431i | 0.408101 | + | 0.706852i | ||||
\(277\) | 20.4343 | − | 14.8464i | 1.22778 | − | 0.892034i | 0.231058 | − | 0.972940i | \(-0.425781\pi\) |
0.996722 | + | 0.0809058i | \(0.0257813\pi\) | |||||||
\(278\) | 0.159983 | − | 0.492376i | 0.00959513 | − | 0.0295308i | ||||
\(279\) | −6.98422 | + | 1.48454i | −0.418134 | + | 0.0888772i | ||||
\(280\) | −8.58941 | − | 5.21109i | −0.513315 | − | 0.311422i | ||||
\(281\) | 3.17905 | − | 3.53069i | 0.189646 | − | 0.210623i | −0.640822 | − | 0.767690i | \(-0.721406\pi\) |
0.830468 | + | 0.557066i | \(0.188073\pi\) | |||||||
\(282\) | 8.83435 | − | 15.3015i | 0.526078 | − | 0.911193i | ||||
\(283\) | 20.4864 | + | 4.35453i | 1.21779 | + | 0.258850i | 0.771612 | − | 0.636093i | \(-0.219451\pi\) |
0.446180 | + | 0.894943i | \(0.352784\pi\) | |||||||
\(284\) | 9.12110 | + | 6.62687i | 0.541238 | + | 0.393232i | ||||
\(285\) | −17.3659 | − | 18.8858i | −1.02867 | − | 1.11870i | ||||
\(286\) | −9.51173 | + | 6.91068i | −0.562441 | + | 0.408637i | ||||
\(287\) | 18.6123 | − | 8.28675i | 1.09865 | − | 0.489151i | ||||
\(288\) | −3.58924 | + | 1.59803i | −0.211498 | + | 0.0941651i | ||||
\(289\) | 9.03747 | + | 4.02374i | 0.531616 | + | 0.236691i | ||||
\(290\) | 5.08761 | + | 3.08660i | 0.298755 | + | 0.181251i | ||||
\(291\) | 3.55942 | − | 33.8656i | 0.208657 | − | 1.98524i | ||||
\(292\) | 0.0607219 | + | 0.186883i | 0.00355348 | + | 0.0109365i | ||||
\(293\) | −10.3729 | −0.605989 | −0.302994 | − | 0.952992i | \(-0.597986\pi\) | ||||
−0.302994 | + | 0.952992i | \(0.597986\pi\) | |||||||
\(294\) | 23.2262 | − | 25.7954i | 1.35458 | − | 1.50442i | ||||
\(295\) | 9.76301 | − | 20.7055i | 0.568425 | − | 1.20552i | ||||
\(296\) | −1.82965 | + | 5.63107i | −0.106346 | + | 0.327299i | ||||
\(297\) | −3.99873 | + | 12.3068i | −0.232030 | + | 0.714114i | ||||
\(298\) | 4.91253 | + | 2.18720i | 0.284575 | + | 0.126701i | ||||
\(299\) | 5.72217 | − | 9.91110i | 0.330922 | − | 0.573173i | ||||
\(300\) | 9.22323 | − | 9.38909i | 0.532503 | − | 0.542079i | ||||
\(301\) | −26.2106 | + | 45.3981i | −1.51075 | + | 2.61670i | ||||
\(302\) | −0.481919 | − | 4.58516i | −0.0277313 | − | 0.263846i | ||||
\(303\) | 5.20427 | − | 16.0171i | 0.298977 | − | 0.920157i | ||||
\(304\) | −4.18675 | − | 1.21289i | −0.240127 | − | 0.0695638i | ||||
\(305\) | −10.0021 | + | 3.01130i | −0.572720 | + | 0.172427i | ||||
\(306\) | −19.9294 | − | 4.23613i | −1.13929 | − | 0.242163i | ||||
\(307\) | 8.65264 | − | 14.9868i | 0.493832 | − | 0.855342i | −0.506143 | − | 0.862450i | \(-0.668929\pi\) |
0.999975 | + | 0.00710764i | \(0.00226245\pi\) | |||||||
\(308\) | −15.9101 | + | 17.6700i | −0.906564 | + | 1.00684i | ||||
\(309\) | −9.02948 | + | 4.02018i | −0.513669 | + | 0.228700i | ||||
\(310\) | 1.73312 | − | 3.67563i | 0.0984348 | − | 0.208762i | ||||
\(311\) | 19.0234 | − | 13.8213i | 1.07872 | − | 0.783736i | 0.101261 | − | 0.994860i | \(-0.467712\pi\) |
0.977459 | + | 0.211123i | \(0.0677122\pi\) | |||||||
\(312\) | 4.73110 | + | 3.43734i | 0.267846 | + | 0.194601i | ||||
\(313\) | 0.997165 | − | 9.48739i | 0.0563631 | − | 0.536259i | −0.929514 | − | 0.368787i | \(-0.879773\pi\) |
0.985877 | − | 0.167472i | \(-0.0535603\pi\) | |||||||
\(314\) | 4.65279 | + | 2.07155i | 0.262572 | + | 0.116905i | ||||
\(315\) | 22.5020 | + | 32.4300i | 1.26784 | + | 1.82723i | ||||
\(316\) | −8.46263 | − | 6.14846i | −0.476060 | − | 0.345878i | ||||
\(317\) | 21.2332 | − | 23.5818i | 1.19257 | − | 1.32449i | 0.259095 | − | 0.965852i | \(-0.416576\pi\) |
0.933478 | − | 0.358635i | \(-0.116758\pi\) | |||||||
\(318\) | 12.8020 | − | 22.1737i | 0.717899 | − | 1.24344i | ||||
\(319\) | 9.42377 | − | 10.4662i | 0.527630 | − | 0.585993i | ||||
\(320\) | 0.512307 | − | 2.17659i | 0.0286388 | − | 0.121675i | ||||
\(321\) | 4.76187 | + | 5.28859i | 0.265782 | + | 0.295180i | ||||
\(322\) | 7.15211 | − | 22.0119i | 0.398572 | − | 1.22668i | ||||
\(323\) | −13.8681 | − | 17.8504i | −0.771643 | − | 0.993224i | ||||
\(324\) | −5.35037 | −0.297243 | ||||||||
\(325\) | −10.7548 | − | 2.77927i | −0.596571 | − | 0.154166i | ||||
\(326\) | 6.91662 | − | 11.9799i | 0.383076 | − | 0.663507i | ||||
\(327\) | 5.19144 | + | 2.31138i | 0.287087 | + | 0.127820i | ||||
\(328\) | 3.03424 | + | 3.36986i | 0.167538 | + | 0.186069i | ||||
\(329\) | −29.4991 | + | 6.27022i | −1.62634 | + | 0.345689i | ||||
\(330\) | −17.7574 | − | 25.5921i | −0.977511 | − | 1.40880i | ||||
\(331\) | 9.97702 | + | 30.7061i | 0.548387 | + | 1.68776i | 0.712799 | + | 0.701369i | \(0.247427\pi\) |
−0.164412 | + | 0.986392i | \(0.552573\pi\) | |||||||
\(332\) | −3.09355 | − | 5.35819i | −0.169781 | − | 0.294069i | ||||
\(333\) | 15.5657 | − | 17.2874i | 0.852994 | − | 0.947346i | ||||
\(334\) | 8.06270 | + | 5.85789i | 0.441171 | + | 0.320530i | ||||
\(335\) | 0.457646 | − | 21.0628i | 0.0250038 | − | 1.15078i | ||||
\(336\) | 10.8043 | + | 4.81037i | 0.589421 | + | 0.262427i | ||||
\(337\) | 21.0683 | − | 9.38020i | 1.14766 | − | 0.510972i | 0.257348 | − | 0.966319i | \(-0.417151\pi\) |
0.890314 | + | 0.455346i | \(0.150485\pi\) | |||||||
\(338\) | −0.842956 | + | 8.02019i | −0.0458508 | + | 0.436241i | ||||
\(339\) | 5.13915 | + | 48.8957i | 0.279120 | + | 2.65565i | ||||
\(340\) | 8.78391 | − | 7.57011i | 0.476374 | − | 0.410547i | ||||
\(341\) | −7.78088 | − | 5.65314i | −0.421358 | − | 0.306135i | ||||
\(342\) | 13.0890 | + | 11.0439i | 0.707774 | + | 0.597187i | ||||
\(343\) | −27.7965 | −1.50087 | ||||||||
\(344\) | −11.4125 | − | 2.42579i | −0.615319 | − | 0.130790i | ||||
\(345\) | 25.9229 | + | 15.7271i | 1.39564 | + | 0.846719i | ||||
\(346\) | −12.8110 | + | 2.72307i | −0.688725 | + | 0.146393i | ||||
\(347\) | −0.278765 | − | 0.309600i | −0.0149649 | − | 0.0166202i | 0.735616 | − | 0.677399i | \(-0.236893\pi\) |
−0.750581 | + | 0.660779i | \(0.770226\pi\) | |||||||
\(348\) | −6.39950 | − | 2.84924i | −0.343049 | − | 0.152735i | ||||
\(349\) | −20.6887 | −1.10744 | −0.553722 | − | 0.832702i | \(-0.686793\pi\) | ||||
−0.553722 | + | 0.832702i | \(0.686793\pi\) | |||||||
\(350\) | −22.4436 | − | 0.975755i | −1.19966 | − | 0.0521563i | ||||
\(351\) | −2.71613 | − | 4.70447i | −0.144976 | − | 0.251106i | ||||
\(352\) | −4.83460 | − | 2.15250i | −0.257685 | − | 0.114729i | ||||
\(353\) | −0.152401 | + | 0.469042i | −0.00811149 | + | 0.0249646i | −0.955030 | − | 0.296508i | \(-0.904178\pi\) |
0.946919 | + | 0.321473i | \(0.104178\pi\) | |||||||
\(354\) | −8.32741 | + | 25.6291i | −0.442597 | + | 1.36217i | ||||
\(355\) | 25.0088 | + | 3.17918i | 1.32733 | + | 0.168733i | ||||
\(356\) | −8.49960 | − | 1.80665i | −0.450478 | − | 0.0957521i | ||||
\(357\) | 30.6657 | + | 53.1145i | 1.62300 | + | 2.81112i | ||||
\(358\) | −1.98345 | − | 0.421596i | −0.104829 | − | 0.0222820i | ||||
\(359\) | 24.1798 | − | 10.7655i | 1.27616 | − | 0.568184i | 0.347003 | − | 0.937864i | \(-0.387200\pi\) |
0.929159 | + | 0.369680i | \(0.120533\pi\) | |||||||
\(360\) | −5.31706 | + | 6.99363i | −0.280234 | + | 0.368596i | ||||
\(361\) | 3.19732 | + | 18.7290i | 0.168280 | + | 0.985739i | ||||
\(362\) | −1.38596 | − | 1.00696i | −0.0728445 | − | 0.0529247i | ||||
\(363\) | −40.8961 | + | 18.2081i | −2.14649 | + | 0.955678i | ||||
\(364\) | −1.04337 | − | 9.92701i | −0.0546875 | − | 0.520316i | ||||
\(365\) | 0.320065 | + | 0.301031i | 0.0167530 | + | 0.0157567i | ||||
\(366\) | 11.2334 | − | 5.00143i | 0.587179 | − | 0.261429i | ||||
\(367\) | 1.54832 | − | 1.71958i | 0.0808216 | − | 0.0897615i | −0.701378 | − | 0.712790i | \(-0.747431\pi\) |
0.782199 | + | 0.623028i | \(0.214098\pi\) | |||||||
\(368\) | 5.15133 | 0.268532 | ||||||||
\(369\) | −5.50546 | − | 16.9441i | −0.286603 | − | 0.882073i | ||||
\(370\) | 2.47067 | + | 13.0069i | 0.128444 | + | 0.676195i | ||||
\(371\) | −42.7475 | + | 9.08627i | −2.21934 | + | 0.471736i | ||||
\(372\) | −1.47828 | + | 4.54967i | −0.0766451 | + | 0.235889i | ||||
\(373\) | 21.1954 | − | 15.3994i | 1.09746 | − | 0.797350i | 0.116815 | − | 0.993154i | \(-0.462731\pi\) |
0.980643 | + | 0.195803i | \(0.0627314\pi\) | |||||||
\(374\) | −13.7220 | − | 23.7672i | −0.709549 | − | 1.22897i | ||||
\(375\) | 7.98060 | − | 28.3271i | 0.412116 | − | 1.46281i | ||||
\(376\) | −3.35615 | − | 5.81303i | −0.173080 | − | 0.299784i | ||||
\(377\) | 0.618001 | + | 5.87989i | 0.0318287 | + | 0.302830i | ||||
\(378\) | −7.35110 | − | 8.16422i | −0.378100 | − | 0.419922i | ||||
\(379\) | −2.26682 | + | 6.97656i | −0.116439 | + | 0.358362i | −0.992244 | − | 0.124302i | \(-0.960331\pi\) |
0.875806 | + | 0.482664i | \(0.160331\pi\) | |||||||
\(380\) | −9.51209 | + | 2.12606i | −0.487960 | + | 0.109065i | ||||
\(381\) | 10.4304 | + | 32.1013i | 0.534363 | + | 1.64460i | ||||
\(382\) | −11.8628 | + | 20.5469i | −0.606952 | + | 1.05127i | ||||
\(383\) | −6.72602 | − | 1.42966i | −0.343684 | − | 0.0730522i | 0.0328363 | − | 0.999461i | \(-0.489546\pi\) |
−0.376520 | + | 0.926409i | \(0.622879\pi\) | |||||||
\(384\) | −0.275149 | + | 2.61786i | −0.0140411 | + | 0.133592i | ||||
\(385\) | −12.1813 | + | 51.7535i | −0.620816 | + | 2.63760i | ||||
\(386\) | −10.0377 | − | 4.46907i | −0.510906 | − | 0.227470i | ||||
\(387\) | 37.0856 | + | 26.9443i | 1.88517 | + | 1.36965i | ||||
\(388\) | −10.4657 | − | 7.60379i | −0.531317 | − | 0.386024i | ||||
\(389\) | −4.85494 | − | 2.16156i | −0.246155 | − | 0.109595i | 0.279951 | − | 0.960014i | \(-0.409682\pi\) |
−0.526106 | + | 0.850419i | \(0.676348\pi\) | |||||||
\(390\) | 12.9720 | + | 1.64903i | 0.656864 | + | 0.0835021i | ||||
\(391\) | 21.6120 | + | 15.7020i | 1.09297 | + | 0.794086i | ||||
\(392\) | −4.07491 | − | 12.5413i | −0.205814 | − | 0.633430i | ||||
\(393\) | −21.3985 | − | 37.0633i | −1.07941 | − | 1.86960i | ||||
\(394\) | 5.74707 | + | 1.22158i | 0.289533 | + | 0.0615422i | ||||
\(395\) | −23.2034 | − | 2.94967i | −1.16749 | − | 0.148414i | ||||
\(396\) | 13.9128 | + | 15.4517i | 0.699144 | + | 0.776478i | ||||
\(397\) | 10.7347 | + | 11.9221i | 0.538761 | + | 0.598354i | 0.949643 | − | 0.313334i | \(-0.101446\pi\) |
−0.410882 | + | 0.911688i | \(0.634779\pi\) | |||||||
\(398\) | 14.2267 | − | 10.3363i | 0.713122 | − | 0.518114i | ||||
\(399\) | −1.65876 | − | 51.5249i | −0.0830418 | − | 2.57947i | ||||
\(400\) | −1.33708 | − | 4.81791i | −0.0668541 | − | 0.240895i | ||||
\(401\) | −0.945021 | + | 1.63683i | −0.0471921 | + | 0.0817391i | −0.888657 | − | 0.458573i | \(-0.848361\pi\) |
0.841464 | + | 0.540312i | \(0.181694\pi\) | |||||||
\(402\) | 2.59239 | + | 24.6650i | 0.129297 | + | 1.23018i | ||||
\(403\) | 3.94927 | − | 0.839443i | 0.196727 | − | 0.0418156i | ||||
\(404\) | −4.28110 | − | 4.75464i | −0.212993 | − | 0.236552i | ||||
\(405\) | −10.4884 | + | 5.75542i | −0.521175 | + | 0.285989i | ||||
\(406\) | 3.69486 | + | 11.3716i | 0.183373 | + | 0.564364i | ||||
\(407\) | 31.3339 | 1.55317 | ||||||||
\(408\) | −9.13400 | + | 10.1443i | −0.452200 | + | 0.502219i | ||||
\(409\) | −3.68346 | + | 35.0457i | −0.182135 | + | 1.73290i | 0.397131 | + | 0.917762i | \(0.370006\pi\) |
−0.579266 | + | 0.815138i | \(0.696661\pi\) | |||||||
\(410\) | 9.57305 | + | 3.34207i | 0.472779 | + | 0.165053i | ||||
\(411\) | −11.8758 | + | 8.62831i | −0.585792 | + | 0.425603i | ||||
\(412\) | −0.392495 | + | 3.73434i | −0.0193368 | + | 0.183978i | ||||
\(413\) | 42.0201 | − | 18.7086i | 2.06768 | − | 0.920589i | ||||
\(414\) | −18.4894 | − | 8.23200i | −0.908704 | − | 0.404581i | ||||
\(415\) | −11.8282 | − | 7.17603i | −0.580623 | − | 0.352257i | ||||
\(416\) | 2.02956 | − | 0.903618i | 0.0995073 | − | 0.0443035i | ||||
\(417\) | 0.421120 | + | 1.29607i | 0.0206223 | + | 0.0634690i | ||||
\(418\) | 0.742248 | + | 23.0559i | 0.0363045 | + | 1.12770i | ||||
\(419\) | 4.89818 | + | 15.0751i | 0.239292 | + | 0.736464i | 0.996523 | + | 0.0833176i | \(0.0265516\pi\) |
−0.757231 | + | 0.653147i | \(0.773448\pi\) | |||||||
\(420\) | 26.3544 | − | 2.19233i | 1.28596 | − | 0.106975i | ||||
\(421\) | −23.7091 | − | 26.3316i | −1.15551 | − | 1.28332i | −0.952634 | − | 0.304118i | \(-0.901638\pi\) |
−0.202875 | − | 0.979205i | \(-0.565028\pi\) | |||||||
\(422\) | 3.24578 | − | 0.689912i | 0.158002 | − | 0.0335844i | ||||
\(423\) | 2.75663 | + | 26.2276i | 0.134032 | + | 1.27523i | ||||
\(424\) | −4.86345 | − | 8.42374i | −0.236190 | − | 0.409093i | ||||
\(425\) | 9.07608 | − | 24.2887i | 0.440254 | − | 1.17818i | ||||
\(426\) | −29.6771 | −1.43786 | ||||||||
\(427\) | −19.1739 | − | 8.53677i | −0.927890 | − | 0.413123i | ||||
\(428\) | 2.64447 | − | 0.562099i | 0.127825 | − | 0.0271701i | ||||
\(429\) | 9.56350 | − | 29.4334i | 0.461730 | − | 1.42106i | ||||
\(430\) | −24.9815 | + | 7.52110i | −1.20472 | + | 0.362700i | ||||
\(431\) | 12.6816 | − | 14.0843i | 0.610851 | − | 0.678418i | −0.355787 | − | 0.934567i | \(-0.615787\pi\) |
0.966637 | + | 0.256149i | \(0.0824537\pi\) | |||||||
\(432\) | 1.22258 | − | 2.11758i | 0.0588216 | − | 0.101882i | ||||
\(433\) | −16.6670 | + | 18.5106i | −0.800964 | + | 0.889561i | −0.995826 | − | 0.0912695i | \(-0.970908\pi\) |
0.194862 | + | 0.980831i | \(0.437574\pi\) | |||||||
\(434\) | 7.45939 | − | 3.32113i | 0.358062 | − | 0.159420i | ||||
\(435\) | −15.6100 | + | 1.29854i | −0.748443 | + | 0.0622604i | ||||
\(436\) | 1.74656 | − | 1.26895i | 0.0836449 | − | 0.0607716i | ||||
\(437\) | −9.78823 | − | 20.2084i | −0.468234 | − | 0.966698i | ||||
\(438\) | −0.418459 | − | 0.304028i | −0.0199948 | − | 0.0145270i | ||||
\(439\) | −0.197598 | − | 1.88002i | −0.00943084 | − | 0.0897284i | 0.988794 | − | 0.149286i | \(-0.0476976\pi\) |
−0.998225 | + | 0.0595578i | \(0.981031\pi\) | |||||||
\(440\) | −11.7928 | + | 0.981005i | −0.562201 | + | 0.0467676i | ||||
\(441\) | −5.41555 | + | 51.5255i | −0.257883 | + | 2.45360i | ||||
\(442\) | 11.2692 | + | 2.39534i | 0.536022 | + | 0.113935i | ||||
\(443\) | 10.2123 | + | 17.6882i | 0.485201 | + | 0.840394i | 0.999855 | − | 0.0170044i | \(-0.00541294\pi\) |
−0.514654 | + | 0.857398i | \(0.672080\pi\) | |||||||
\(444\) | −4.81614 | − | 14.8226i | −0.228564 | − | 0.703448i | ||||
\(445\) | −18.6054 | + | 5.60146i | −0.881979 | + | 0.265534i | ||||
\(446\) | −8.05311 | + | 1.71174i | −0.381326 | + | 0.0810533i | ||||
\(447\) | −13.8456 | + | 2.94297i | −0.654874 | + | 0.139198i | ||||
\(448\) | 3.63488 | − | 2.64089i | 0.171732 | − | 0.124771i | ||||
\(449\) | 24.9125 | 1.17569 | 0.587846 | − | 0.808973i | \(-0.299976\pi\) | ||||
0.587846 | + | 0.808973i | \(0.299976\pi\) | |||||||
\(450\) | −2.90007 | + | 19.4293i | −0.136710 | + | 0.915908i | ||||
\(451\) | 11.9988 | − | 20.7826i | 0.565003 | − | 0.978614i | ||||
\(452\) | 17.0629 | + | 7.59691i | 0.802573 | + | 0.357329i | ||||
\(453\) | 8.12051 | + | 9.01874i | 0.381535 | + | 0.423738i | ||||
\(454\) | 14.0409 | + | 15.5939i | 0.658970 | + | 0.731860i | ||||
\(455\) | −12.7239 | − | 18.3378i | −0.596504 | − | 0.859688i | ||||
\(456\) | 10.7926 | − | 3.89490i | 0.505407 | − | 0.182396i | ||||
\(457\) | 6.47226 | 0.302760 | 0.151380 | − | 0.988476i | \(-0.451628\pi\) | ||||
0.151380 | + | 0.988476i | \(0.451628\pi\) | |||||||
\(458\) | −0.503563 | − | 0.107036i | −0.0235300 | − | 0.00500145i | ||||
\(459\) | 11.5840 | − | 5.15751i | 0.540693 | − | 0.240732i | ||||
\(460\) | 10.0983 | − | 5.54131i | 0.470834 | − | 0.258365i | ||||
\(461\) | 4.04166 | + | 38.4538i | 0.188239 | + | 1.79097i | 0.526760 | + | 0.850014i | \(0.323407\pi\) |
−0.338521 | + | 0.940959i | \(0.609927\pi\) | |||||||
\(462\) | 6.54230 | − | 62.2458i | 0.304375 | − | 2.89594i | ||||
\(463\) | 5.23477 | + | 3.80328i | 0.243280 | + | 0.176753i | 0.702743 | − | 0.711443i | \(-0.251958\pi\) |
−0.459463 | + | 0.888197i | \(0.651958\pi\) | |||||||
\(464\) | −2.15299 | + | 1.56424i | −0.0999498 | + | 0.0726178i | ||||
\(465\) | 1.99620 | + | 10.5090i | 0.0925716 | + | 0.487343i | ||||
\(466\) | 3.09999 | − | 29.4945i | 0.143604 | − | 1.36631i | ||||
\(467\) | 4.11075 | + | 12.6516i | 0.190223 | + | 0.585446i | 0.999999 | − | 0.00129309i | \(-0.000411604\pi\) |
−0.809776 | + | 0.586739i | \(0.800412\pi\) | |||||||
\(468\) | −8.72859 | −0.403479 | ||||||||
\(469\) | 28.3254 | − | 31.4586i | 1.30795 | − | 1.45262i | ||||
\(470\) | −12.8322 | − | 7.78517i | −0.591907 | − | 0.359103i | ||||
\(471\) | −13.1135 | + | 2.78737i | −0.604240 | + | 0.128435i | ||||
\(472\) | 6.85024 | + | 7.60796i | 0.315308 | + | 0.350185i | ||||
\(473\) | 6.45416 | + | 61.4073i | 0.296763 | + | 2.82351i | ||||
\(474\) | 27.5347 | 1.26471 | ||||||||
\(475\) | −16.3597 | + | 14.4000i | −0.750636 | + | 0.660716i | ||||
\(476\) | 23.2997 | 1.06794 | ||||||||
\(477\) | 3.99468 | + | 38.0068i | 0.182904 | + | 1.74021i | ||||
\(478\) | 13.9073 | + | 15.4456i | 0.636105 | + | 0.706466i | ||||
\(479\) | 10.0018 | − | 2.12594i | 0.456992 | − | 0.0971366i | 0.0263367 | − | 0.999653i | \(-0.491616\pi\) |
0.430655 | + | 0.902516i | \(0.358282\pi\) | |||||||
\(480\) | 2.27667 | + | 5.42783i | 0.103915 | + | 0.247746i | ||||
\(481\) | −8.80171 | + | 9.77529i | −0.401323 | + | 0.445715i | ||||
\(482\) | −5.63315 | −0.256583 | ||||||||
\(483\) | 18.8264 | + | 57.9417i | 0.856630 | + | 2.63644i | ||||
\(484\) | −1.77768 | + | 16.9135i | −0.0808036 | + | 0.768795i | ||||
\(485\) | −28.6956 | − | 3.64785i | −1.30300 | − | 0.165640i | ||||
\(486\) | 17.3285 | − | 12.5899i | 0.786036 | − | 0.571089i | ||||
\(487\) | 18.7672 | + | 13.6352i | 0.850422 | + | 0.617868i | 0.925262 | − | 0.379328i | \(-0.123845\pi\) |
−0.0748402 | + | 0.997196i | \(0.523845\pi\) | |||||||
\(488\) | 0.488295 | − | 4.64582i | 0.0221041 | − | 0.210306i | ||||
\(489\) | 3.80619 | + | 36.2135i | 0.172122 | + | 1.63763i | ||||
\(490\) | −21.4788 | − | 20.2015i | −0.970315 | − | 0.912612i | ||||
\(491\) | 28.4390 | − | 12.6619i | 1.28344 | − | 0.571422i | 0.352229 | − | 0.935914i | \(-0.385424\pi\) |
0.931207 | + | 0.364492i | \(0.118757\pi\) | |||||||
\(492\) | −11.6755 | − | 2.48170i | −0.526372 | − | 0.111884i | ||||
\(493\) | −13.8007 | −0.621552 | ||||||||
\(494\) | −7.40128 | − | 6.24485i | −0.332999 | − | 0.280969i | ||||
\(495\) | 43.8950 | + | 15.3243i | 1.97293 | + | 0.688775i | ||||
\(496\) | 1.21605 | + | 1.35056i | 0.0546023 | + | 0.0606420i | ||||
\(497\) | 33.8948 | + | 37.6440i | 1.52039 | + | 1.68856i | ||||
\(498\) | 14.8782 | + | 6.62420i | 0.666708 | + | 0.296838i | ||||
\(499\) | −15.1244 | + | 26.1963i | −0.677062 | + | 1.17271i | 0.298799 | + | 0.954316i | \(0.403414\pi\) |
−0.975862 | + | 0.218390i | \(0.929919\pi\) | |||||||
\(500\) | −7.80375 | − | 8.00634i | −0.348994 | − | 0.358054i | ||||
\(501\) | −26.2334 | −1.17202 | ||||||||
\(502\) | 16.0960 | − | 11.6944i | 0.718400 | − | 0.521948i | ||||
\(503\) | 28.7487 | − | 6.11072i | 1.28184 | − | 0.272463i | 0.483858 | − | 0.875146i | \(-0.339235\pi\) |
0.797981 | + | 0.602683i | \(0.205902\pi\) | |||||||
\(504\) | −17.2667 | + | 3.67015i | −0.769120 | + | 0.163482i | ||||
\(505\) | −13.5069 | − | 4.71543i | −0.601050 | − | 0.209834i | ||||
\(506\) | −8.42427 | − | 25.9273i | −0.374505 | − | 1.15261i | ||||
\(507\) | −10.6138 | − | 18.3837i | −0.471378 | − | 0.816450i | ||||
\(508\) | 12.5426 | + | 2.66602i | 0.556489 | + | 0.118285i | ||||
\(509\) | 2.13689 | − | 20.3312i | 0.0947162 | − | 0.901164i | −0.839236 | − | 0.543767i | \(-0.816998\pi\) |
0.933952 | − | 0.357397i | \(-0.116336\pi\) | |||||||
\(510\) | −6.99327 | + | 29.7116i | −0.309667 | + | 1.31565i | ||||
\(511\) | 0.0922847 | + | 0.878030i | 0.00408244 | + | 0.0388418i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −10.6302 | − | 0.772445i | −0.469336 | − | 0.0341043i | ||||
\(514\) | −10.1519 | + | 7.37579i | −0.447781 | + | 0.325332i | ||||
\(515\) | 3.24763 | + | 7.74272i | 0.143108 | + | 0.341185i | ||||
\(516\) | 28.0568 | − | 12.4917i | 1.23513 | − | 0.549915i | ||||
\(517\) | −23.7691 | + | 26.3983i | −1.04536 | + | 1.16100i | ||||
\(518\) | −13.3011 | + | 23.0382i | −0.584416 | + | 1.01224i | ||||
\(519\) | 23.0687 | − | 25.6204i | 1.01260 | − | 1.12461i | ||||
\(520\) | 3.00656 | − | 3.95459i | 0.131846 | − | 0.173420i | ||||
\(521\) | −1.89162 | + | 5.82181i | −0.0828734 | + | 0.255058i | −0.983904 | − | 0.178697i | \(-0.942812\pi\) |
0.901031 | + | 0.433755i | \(0.142812\pi\) | |||||||
\(522\) | 10.2273 | − | 2.17388i | 0.447636 | − | 0.0951480i | ||||
\(523\) | 7.62910 | + | 3.39670i | 0.333597 | + | 0.148527i | 0.566698 | − | 0.823925i | \(-0.308221\pi\) |
−0.233101 | + | 0.972453i | \(0.574887\pi\) | |||||||
\(524\) | −16.2585 | −0.710256 | ||||||||
\(525\) | 49.3047 | − | 32.6472i | 2.15183 | − | 1.42484i | ||||
\(526\) | −2.89412 | − | 5.01277i | −0.126190 | − | 0.218567i | ||||
\(527\) | 0.985128 | + | 9.37287i | 0.0429129 | + | 0.408289i | ||||
\(528\) | 13.6260 | − | 2.89629i | 0.592995 | − | 0.126045i | ||||
\(529\) | 2.36620 | + | 2.62793i | 0.102878 | + | 0.114258i | ||||
\(530\) | −18.5954 | − | 11.2816i | −0.807732 | − | 0.490042i | ||||
\(531\) | −12.4294 | − | 38.2537i | −0.539390 | − | 1.66007i | ||||
\(532\) | −17.2668 | − | 9.24137i | −0.748613 | − | 0.400664i | ||||
\(533\) | 3.11309 | + | 9.58112i | 0.134843 | + | 0.415004i | ||||
\(534\) | 20.8957 | − | 9.30337i | 0.904246 | − | 0.402596i | ||||
\(535\) | 4.57935 | − | 3.94656i | 0.197983 | − | 0.170625i | ||||
\(536\) | 8.60723 | + | 3.83219i | 0.371776 | + | 0.165525i | ||||
\(537\) | 4.87619 | − | 2.17102i | 0.210423 | − | 0.0936863i | ||||
\(538\) | 1.95264 | − | 18.5782i | 0.0841845 | − | 0.800962i | ||||
\(539\) | −56.4578 | + | 41.0190i | −2.43181 | + | 1.76681i | ||||
\(540\) | 0.118770 | − | 5.46628i | 0.00511103 | − | 0.235231i | ||||
\(541\) | 1.79516 | − | 17.0798i | 0.0771800 | − | 0.734318i | −0.885676 | − | 0.464303i | \(-0.846305\pi\) |
0.962856 | − | 0.270015i | \(-0.0870286\pi\) | |||||||
\(542\) | −4.20139 | + | 4.66612i | −0.180465 | + | 0.200427i | ||||
\(543\) | 4.50948 | 0.193520 | ||||||||
\(544\) | 1.60251 | + | 4.93201i | 0.0687069 | + | 0.211458i | ||||
\(545\) | 2.05880 | − | 4.36632i | 0.0881893 | − | 0.187033i | ||||
\(546\) | 17.5812 | + | 19.5259i | 0.752404 | + | 0.835629i | ||||
\(547\) | −13.8026 | + | 2.93383i | −0.590156 | + | 0.125441i | −0.493303 | − | 0.869857i | \(-0.664211\pi\) |
−0.0968522 | + | 0.995299i | \(0.530877\pi\) | |||||||
\(548\) | 0.582920 | + | 5.54611i | 0.0249011 | + | 0.236918i | ||||
\(549\) | −9.17679 | + | 15.8947i | −0.391656 | + | 0.678368i | ||||
\(550\) | −22.0625 | + | 14.6087i | −0.940747 | + | 0.622917i | ||||
\(551\) | 10.2274 | + | 5.47378i | 0.435701 | + | 0.233191i | ||||
\(552\) | −10.9701 | + | 7.97023i | −0.466918 | + | 0.339236i | ||||
\(553\) | −31.4479 | − | 34.9264i | −1.33730 | − | 1.48522i | ||||
\(554\) | 16.9010 | + | 18.7705i | 0.718057 | + | 0.797483i | ||||
\(555\) | −25.3859 | − | 23.8762i | −1.07757 | − | 1.01349i | ||||
\(556\) | 0.506402 | + | 0.107639i | 0.0214762 | + | 0.00456491i | ||||
\(557\) | −22.0945 | − | 38.2688i | −0.936174 | − | 1.62150i | −0.772527 | − | 0.634982i | \(-0.781008\pi\) |
−0.163647 | − | 0.986519i | \(-0.552326\pi\) | |||||||
\(558\) | −2.20646 | − | 6.79078i | −0.0934068 | − | 0.287477i | ||||
\(559\) | −20.9703 | − | 15.2358i | −0.886948 | − | 0.644405i | ||||
\(560\) | 4.28471 | − | 9.08706i | 0.181062 | − | 0.383998i | ||||
\(561\) | 65.9950 | + | 29.3829i | 2.78631 | + | 1.24055i | ||||
\(562\) | 3.84365 | + | 2.79258i | 0.162135 | + | 0.117798i | ||||
\(563\) | −31.1842 | − | 22.6567i | −1.31426 | − | 0.954865i | −0.999985 | − | 0.00553278i | \(-0.998239\pi\) |
−0.314274 | − | 0.949332i | \(-0.601761\pi\) | |||||||
\(564\) | 16.1412 | + | 7.18650i | 0.679665 | + | 0.302606i | ||||
\(565\) | 41.6209 | − | 3.46230i | 1.75100 | − | 0.145660i | ||||
\(566\) | −2.18926 | + | 20.8294i | −0.0920213 | + | 0.875524i | ||||
\(567\) | −23.5137 | − | 4.99799i | −0.987481 | − | 0.209896i | ||||
\(568\) | −5.63715 | + | 9.76383i | −0.236530 | + | 0.409681i | ||||
\(569\) | −3.97334 | − | 12.2287i | −0.166571 | − | 0.512653i | 0.832577 | − | 0.553909i | \(-0.186864\pi\) |
−0.999149 | + | 0.0412552i | \(0.986864\pi\) | |||||||
\(570\) | 16.9671 | − | 19.2449i | 0.710674 | − | 0.806078i | ||||
\(571\) | −2.69876 | + | 8.30593i | −0.112940 | + | 0.347592i | −0.991512 | − | 0.130017i | \(-0.958497\pi\) |
0.878572 | + | 0.477610i | \(0.158497\pi\) | |||||||
\(572\) | −7.86707 | − | 8.73726i | −0.328939 | − | 0.365323i | ||||
\(573\) | −6.52804 | − | 62.1102i | −0.272713 | − | 2.59469i | ||||
\(574\) | 10.1869 | + | 17.6442i | 0.425192 | + | 0.736454i | ||||
\(575\) | 13.8350 | − | 21.7255i | 0.576961 | − | 0.906016i | ||||
\(576\) | −1.96446 | − | 3.40254i | −0.0818524 | − | 0.141773i | ||||
\(577\) | 18.5867 | − | 13.5040i | 0.773775 | − | 0.562181i | −0.129329 | − | 0.991602i | \(-0.541282\pi\) |
0.903104 | + | 0.429421i | \(0.141282\pi\) | |||||||
\(578\) | −3.05703 | + | 9.40856i | −0.127155 | + | 0.391344i | ||||
\(579\) | 28.2905 | − | 6.01334i | 1.17571 | − | 0.249906i | ||||
\(580\) | −2.53789 | + | 5.38238i | −0.105380 | + | 0.223491i | ||||
\(581\) | −8.59019 | − | 26.4379i | −0.356381 | − | 1.09683i | ||||
\(582\) | 34.0521 | 1.41151 | ||||||||
\(583\) | −34.4442 | + | 38.2541i | −1.42653 | + | 1.58432i | ||||
\(584\) | −0.179512 | + | 0.0799238i | −0.00742825 | + | 0.00330727i | ||||
\(585\) | −17.1108 | + | 9.38939i | −0.707446 | + | 0.388203i | ||||
\(586\) | −1.08426 | − | 10.3160i | −0.0447903 | − | 0.426151i | ||||
\(587\) | 0.697324 | − | 0.310469i | 0.0287817 | − | 0.0128144i | −0.392295 | − | 0.919839i | \(-0.628319\pi\) |
0.421077 | + | 0.907025i | \(0.361652\pi\) | |||||||
\(588\) | 28.0819 | + | 20.4027i | 1.15808 | + | 0.841392i | ||||
\(589\) | 2.98751 | − | 7.33674i | 0.123098 | − | 0.302305i | ||||
\(590\) | 21.6126 | + | 7.54522i | 0.889776 | + | 0.310632i | ||||
\(591\) | −14.1288 | + | 6.29054i | −0.581181 | + | 0.258758i | ||||
\(592\) | −5.79147 | − | 1.23102i | −0.238028 | − | 0.0505944i | ||||
\(593\) | −0.199860 | − | 0.346168i | −0.00820727 | − | 0.0142154i | 0.861893 | − | 0.507091i | \(-0.169279\pi\) |
−0.870100 | + | 0.492875i | \(0.835946\pi\) | |||||||
\(594\) | −12.6574 | − | 2.69041i | −0.519339 | − | 0.110389i | ||||
\(595\) | 45.6749 | − | 25.0636i | 1.87249 | − | 1.02751i | ||||
\(596\) | −1.66172 | + | 5.11424i | −0.0680666 | + | 0.209487i | ||||
\(597\) | −14.3042 | + | 44.0237i | −0.585431 | + | 1.80177i | ||||
\(598\) | 10.4549 | + | 4.65484i | 0.427534 | + | 0.190350i | ||||
\(599\) | 23.2220 | + | 40.2217i | 0.948826 | + | 1.64341i | 0.747904 | + | 0.663807i | \(0.231060\pi\) |
0.200922 | + | 0.979607i | \(0.435606\pi\) | |||||||
\(600\) | 10.3017 | + | 8.19127i | 0.420567 | + | 0.334407i | ||||
\(601\) | −2.28005 | −0.0930053 | −0.0465027 | − | 0.998918i | \(-0.514808\pi\) | ||||
−0.0465027 | + | 0.998918i | \(0.514808\pi\) | |||||||
\(602\) | −47.8892 | − | 21.3216i | −1.95182 | − | 0.869005i | ||||
\(603\) | −24.7695 | − | 27.5093i | −1.00869 | − | 1.12027i | ||||
\(604\) | 4.50967 | − | 0.958559i | 0.183496 | − | 0.0390032i | ||||
\(605\) | 14.7091 | + | 35.0681i | 0.598010 | + | 1.42572i | ||||
\(606\) | 16.4733 | + | 3.50152i | 0.669183 | + | 0.142239i | ||||
\(607\) | −0.248201 | −0.0100742 | −0.00503709 | − | 0.999987i | \(-0.501603\pi\) | ||||
−0.00503709 | + | 0.999987i | \(0.501603\pi\) | |||||||
\(608\) | 0.768607 | − | 4.29060i | 0.0311711 | − | 0.174007i | ||||
\(609\) | −25.4628 | − | 18.4998i | −1.03180 | − | 0.749650i | ||||
\(610\) | −4.04031 | − | 9.63256i | −0.163588 | − | 0.390011i | ||||
\(611\) | −1.55875 | − | 14.8306i | −0.0630605 | − | 0.599980i | ||||
\(612\) | 2.12973 | − | 20.2630i | 0.0860893 | − | 0.819085i | ||||
\(613\) | 29.7555 | − | 13.2480i | 1.20181 | − | 0.535082i | 0.294547 | − | 0.955637i | \(-0.404831\pi\) |
0.907267 | + | 0.420555i | \(0.138165\pi\) | |||||||
\(614\) | 15.8092 | + | 7.03869i | 0.638005 | + | 0.284058i | ||||
\(615\) | −25.5573 | + | 7.69445i | −1.03057 | + | 0.310270i | ||||
\(616\) | −19.2363 | − | 13.9760i | −0.775051 | − | 0.563108i | ||||
\(617\) | 12.9260 | − | 14.3558i | 0.520382 | − | 0.577943i | −0.424469 | − | 0.905442i | \(-0.639539\pi\) |
0.944851 | + | 0.327499i | \(0.106206\pi\) | |||||||
\(618\) | −4.94200 | − | 8.55979i | −0.198796 | − | 0.344325i | ||||
\(619\) | −7.80253 | − | 24.0137i | −0.313610 | − | 0.965193i | −0.976323 | − | 0.216319i | \(-0.930595\pi\) |
0.662713 | − | 0.748874i | \(-0.269405\pi\) | |||||||
\(620\) | 3.83665 | + | 1.33942i | 0.154084 | + | 0.0537925i | ||||
\(621\) | 12.3206 | − | 2.61883i | 0.494410 | − | 0.105090i | ||||
\(622\) | 15.7341 | + | 17.4745i | 0.630881 | + | 0.700664i | ||||
\(623\) | −35.6662 | − | 15.8796i | −1.42894 | − | 0.636203i | ||||
\(624\) | −2.92398 | + | 5.06448i | −0.117053 | + | 0.202741i | ||||
\(625\) | −23.9103 | − | 7.30046i | −0.956413 | − | 0.292018i | ||||
\(626\) | 9.53965 | 0.381281 | ||||||||
\(627\) | −37.2532 | − | 47.9506i | −1.48775 | − | 1.91496i | ||||
\(628\) | −1.57386 | + | 4.84383i | −0.0628037 | + | 0.193290i | ||||
\(629\) | −20.5453 | − | 22.8179i | −0.819196 | − | 0.909809i | ||||
\(630\) | −29.9003 | + | 25.7686i | −1.19126 | + | 1.02664i | ||||
\(631\) | 21.4275 | − | 23.7977i | 0.853017 | − | 0.947371i | −0.146105 | − | 0.989269i | \(-0.546674\pi\) |
0.999122 | + | 0.0418978i | \(0.0133404\pi\) | |||||||
\(632\) | 5.23020 | − | 9.05896i | 0.208046 | − | 0.360346i | ||||
\(633\) | −5.84465 | + | 6.49114i | −0.232304 | + | 0.258000i | ||||
\(634\) | 25.6721 | + | 18.6519i | 1.01957 | + | 0.740760i | ||||
\(635\) | 27.4554 | − | 8.26591i | 1.08954 | − | 0.328023i | ||||
\(636\) | 23.3904 | + | 10.4141i | 0.927489 | + | 0.412945i | ||||
\(637\) | 3.06226 | − | 29.1354i | 0.121331 | − | 1.15439i | ||||
\(638\) | 11.3939 | + | 8.27814i | 0.451088 | + | 0.327735i | ||||
\(639\) | 35.8360 | − | 26.0364i | 1.41765 | − | 1.02998i | ||||
\(640\) | 2.21822 | + | 0.281985i | 0.0876827 | + | 0.0111464i | ||||
\(641\) | 2.16021 | − | 0.961789i | 0.0853233 | − | 0.0379884i | −0.363631 | − | 0.931543i | \(-0.618463\pi\) |
0.448955 | + | 0.893555i | \(0.351797\pi\) | |||||||
\(642\) | −4.76187 | + | 5.28859i | −0.187936 | + | 0.208724i | ||||
\(643\) | 3.30920 | − | 5.73170i | 0.130502 | − | 0.226036i | −0.793368 | − | 0.608742i | \(-0.791674\pi\) |
0.923870 | + | 0.382706i | \(0.125008\pi\) | |||||||
\(644\) | 22.6390 | + | 4.81206i | 0.892100 | + | 0.189622i | ||||
\(645\) | 41.5629 | − | 54.6685i | 1.63654 | − | 2.15257i | ||||
\(646\) | 16.3030 | − | 15.6580i | 0.641433 | − | 0.616057i | ||||
\(647\) | 10.0344 | − | 30.8828i | 0.394494 | − | 1.21413i | −0.534860 | − | 0.844941i | \(-0.679636\pi\) |
0.929355 | − | 0.369188i | \(-0.120364\pi\) | |||||||
\(648\) | −0.559266 | − | 5.32106i | −0.0219700 | − | 0.209031i | ||||
\(649\) | 27.0892 | − | 46.9198i | 1.06334 | − | 1.84176i | ||||
\(650\) | 1.63986 | − | 10.9864i | 0.0643206 | − | 0.430923i | ||||
\(651\) | −10.7467 | + | 18.6139i | −0.421197 | + | 0.729534i | ||||
\(652\) | 12.6373 | + | 5.62648i | 0.494914 | + | 0.220350i | ||||
\(653\) | 0.856319 | − | 2.63548i | 0.0335104 | − | 0.103134i | −0.932902 | − | 0.360130i | \(-0.882732\pi\) |
0.966413 | + | 0.256995i | \(0.0827325\pi\) | |||||||
\(654\) | −1.75606 | + | 5.40461i | −0.0686675 | + | 0.211337i | ||||
\(655\) | −31.8719 | + | 17.4894i | −1.24534 | + | 0.683366i | ||||
\(656\) | −3.03424 | + | 3.36986i | −0.118467 | + | 0.131571i | ||||
\(657\) | 0.772032 | 0.0301199 | ||||||||
\(658\) | −9.31937 | − | 28.6821i | −0.363307 | − | 1.11814i | ||||
\(659\) | −1.84647 | + | 17.5680i | −0.0719283 | + | 0.684352i | 0.897840 | + | 0.440323i | \(0.145136\pi\) |
−0.969768 | + | 0.244029i | \(0.921531\pi\) | |||||||
\(660\) | 23.5957 | − | 20.3352i | 0.918463 | − | 0.791546i | ||||
\(661\) | 19.6161 | + | 8.73365i | 0.762978 | + | 0.339699i | 0.751064 | − | 0.660230i | \(-0.229541\pi\) |
0.0119137 | + | 0.999929i | \(0.496208\pi\) | |||||||
\(662\) | −29.4950 | + | 13.1320i | −1.14636 | + | 0.510391i | ||||
\(663\) | −27.7046 | + | 12.3349i | −1.07596 | + | 0.479047i | ||||
\(664\) | 5.00548 | − | 3.63669i | 0.194250 | − | 0.141131i | ||||
\(665\) | −43.7896 | + | 0.457967i | −1.69809 | + | 0.0177592i | ||||
\(666\) | 18.8198 | + | 13.6734i | 0.729252 | + | 0.529833i | ||||
\(667\) | −13.4093 | − | 2.85024i | −0.519212 | − | 0.110362i | ||||
\(668\) | −4.98302 | + | 8.63084i | −0.192799 | + | 0.333937i | ||||
\(669\) | 14.5012 | − | 16.1052i | 0.560647 | − | 0.622662i | ||||
\(670\) | 20.9952 | − | 1.74652i | 0.811117 | − | 0.0674740i | ||||
\(671\) | −24.1815 | + | 5.13993i | −0.933516 | + | 0.198425i | ||||
\(672\) | −3.65466 | + | 11.2479i | −0.140982 | + | 0.433897i | ||||
\(673\) | −31.7095 | + | 23.0383i | −1.22231 | + | 0.888061i | −0.996290 | − | 0.0860614i | \(-0.972572\pi\) |
−0.226021 | + | 0.974122i | \(0.572572\pi\) | |||||||
\(674\) | 11.5311 | + | 19.9724i | 0.444160 | + | 0.769307i | ||||
\(675\) | −5.64727 | − | 10.8434i | −0.217364 | − | 0.417363i | ||||
\(676\) | −8.06437 | −0.310168 | ||||||||
\(677\) | −24.4049 | + | 17.7312i | −0.937957 | + | 0.681465i | −0.947928 | − | 0.318485i | \(-0.896826\pi\) |
0.00997127 | + | 0.999950i | \(0.496826\pi\) | |||||||
\(678\) | −48.0907 | + | 10.2220i | −1.84691 | + | 0.392573i | ||||
\(679\) | −38.8915 | − | 43.1934i | −1.49252 | − | 1.65761i | ||||
\(680\) | 8.44681 | + | 7.94450i | 0.323921 | + | 0.304658i | ||||
\(681\) | −54.0281 | − | 11.4840i | −2.07036 | − | 0.440069i | ||||
\(682\) | 4.80885 | − | 8.32917i | 0.184140 | − | 0.318940i | ||||
\(683\) | 8.80075 | + | 27.0859i | 0.336751 | + | 1.03641i | 0.965853 | + | 0.259091i | \(0.0834228\pi\) |
−0.629102 | + | 0.777323i | \(0.716577\pi\) | |||||||
\(684\) | −9.61524 | + | 14.1717i | −0.367648 | + | 0.541870i | ||||
\(685\) | 7.10869 | + | 10.2451i | 0.271609 | + | 0.391446i | ||||
\(686\) | −2.90553 | − | 27.6442i | −0.110933 | − | 1.05546i | ||||
\(687\) | 1.23798 | − | 0.551183i | 0.0472317 | − | 0.0210289i | ||||
\(688\) | 1.21958 | − | 11.6035i | 0.0464960 | − | 0.442379i | ||||
\(689\) | −2.25881 | − | 21.4912i | −0.0860539 | − | 0.818748i | ||||
\(690\) | −12.9313 | + | 27.4248i | −0.492285 | + | 1.04404i | ||||
\(691\) | 1.52694 | + | 1.10939i | 0.0580876 | + | 0.0422031i | 0.616450 | − | 0.787394i | \(-0.288570\pi\) |
−0.558363 | + | 0.829597i | \(0.688570\pi\) | |||||||
\(692\) | −4.04727 | − | 12.4562i | −0.153854 | − | 0.473514i | ||||
\(693\) | 46.7096 | + | 80.9033i | 1.77435 | + | 3.07326i | ||||
\(694\) | 0.278765 | − | 0.309600i | 0.0105818 | − | 0.0117523i | ||||
\(695\) | 1.10850 | − | 0.333732i | 0.0420477 | − | 0.0126592i | ||||
\(696\) | 2.16470 | − | 6.66227i | 0.0820529 | − | 0.252533i | ||||
\(697\) | −23.0017 | + | 4.88917i | −0.871253 | + | 0.185190i | ||||
\(698\) | −2.16256 | − | 20.5754i | −0.0818542 | − | 0.778791i | ||||
\(699\) | 39.0327 | + | 67.6067i | 1.47635 | + | 2.55712i | ||||
\(700\) | −1.37558 | − | 22.4226i | −0.0519922 | − | 0.847496i | ||||
\(701\) | −22.8862 | + | 39.6400i | −0.864399 | + | 1.49718i | 0.00324423 | + | 0.999995i | \(0.498967\pi\) |
−0.867643 | + | 0.497188i | \(0.834366\pi\) | |||||||
\(702\) | 4.39479 | − | 3.19300i | 0.165871 | − | 0.120512i | ||||
\(703\) | 6.17538 | + | 25.0587i | 0.232909 | + | 0.945107i | ||||
\(704\) | 1.63536 | − | 5.03312i | 0.0616349 | − | 0.189693i | ||||
\(705\) | 39.3724 | − | 3.27526i | 1.48285 | − | 0.123353i | ||||
\(706\) | −0.482403 | − | 0.102538i | −0.0181555 | − | 0.00385907i | ||||
\(707\) | −14.3730 | − | 24.8947i | −0.540552 | − | 0.936263i | ||||
\(708\) | −26.3592 | − | 5.60282i | −0.990639 | − | 0.210567i | ||||
\(709\) | −0.220463 | + | 2.09757i | −0.00827967 | + | 0.0787758i | −0.997881 | − | 0.0650585i | \(-0.979277\pi\) |
0.989602 | + | 0.143834i | \(0.0459433\pi\) | |||||||
\(710\) | −0.547628 | + | 25.2041i | −0.0205521 | + | 0.945895i | ||||
\(711\) | −33.2490 | + | 24.1568i | −1.24693 | + | 0.905951i | ||||
\(712\) | 0.908299 | − | 8.64189i | 0.0340399 | − | 0.323868i | ||||
\(713\) | −0.978576 | + | 9.31053i | −0.0366480 | + | 0.348682i | ||||
\(714\) | −49.6181 | + | 36.0497i | −1.85691 | + | 1.34913i | ||||
\(715\) | −24.8207 | − | 8.66520i | −0.928241 | − | 0.324060i | ||||
\(716\) | 0.211959 | − | 2.01666i | 0.00792128 | − | 0.0753660i | ||||
\(717\) | −53.5142 | − | 11.3748i | −1.99852 | − | 0.424799i | ||||
\(718\) | 13.2340 | + | 22.9220i | 0.493890 | + | 0.855443i | ||||
\(719\) | −8.50039 | − | 1.80681i | −0.317011 | − | 0.0673828i | 0.0466581 | − | 0.998911i | \(-0.485143\pi\) |
−0.363669 | + | 0.931528i | \(0.618476\pi\) | |||||||
\(720\) | −7.51110 | − | 4.55690i | −0.279922 | − | 0.169826i | ||||
\(721\) | −5.21332 | + | 16.0450i | −0.194154 | + | 0.597545i | ||||
\(722\) | −18.2922 | + | 5.13752i | −0.680767 | + | 0.191199i | ||||
\(723\) | 11.9961 | − | 8.71571i | 0.446141 | − | 0.324141i | ||||
\(724\) | 0.856571 | − | 1.48363i | 0.0318342 | − | 0.0551385i | ||||
\(725\) | 0.814776 | + | 13.2812i | 0.0302600 | + | 0.493252i | ||||
\(726\) | −22.3832 | − | 38.7688i | −0.830717 | − | 1.43884i | ||||
\(727\) | 3.17550 | + | 30.2129i | 0.117773 | + | 1.12053i | 0.880577 | + | 0.473904i | \(0.157156\pi\) |
−0.762804 | + | 0.646630i | \(0.776178\pi\) | |||||||
\(728\) | 9.76356 | − | 2.07531i | 0.361862 | − | 0.0769161i | ||||
\(729\) | −12.4627 | + | 38.3564i | −0.461583 | + | 1.42061i | ||||
\(730\) | −0.265926 | + | 0.349778i | −0.00984238 | + | 0.0129459i | ||||
\(731\) | 40.4858 | − | 44.9641i | 1.49742 | − | 1.66306i | ||||
\(732\) | 6.14824 | + | 10.6491i | 0.227245 | + | 0.393601i | ||||
\(733\) | −10.8632 | − | 33.4335i | −0.401241 | − | 1.23489i | −0.923993 | − | 0.382409i | \(-0.875095\pi\) |
0.522752 | − | 0.852485i | \(-0.324905\pi\) | |||||||
\(734\) | 1.87201 | + | 1.36009i | 0.0690970 | + | 0.0502019i | ||||
\(735\) | 76.9967 | + | 9.78799i | 2.84007 | + | 0.361035i | ||||
\(736\) | 0.538461 | + | 5.12311i | 0.0198479 | + | 0.188840i | ||||
\(737\) | 5.21193 | − | 49.5882i | 0.191984 | − | 1.82660i | ||||
\(738\) | 16.2758 | − | 7.24644i | 0.599119 | − | 0.266745i | ||||
\(739\) | −3.12648 | − | 29.7465i | −0.115010 | − | 1.09424i | −0.888006 | − | 0.459832i | \(-0.847910\pi\) |
0.772996 | − | 0.634410i | \(-0.218757\pi\) | |||||||
\(740\) | −12.6774 | + | 3.81673i | −0.466029 | + | 0.140306i | ||||
\(741\) | 25.4236 | + | 1.84741i | 0.933960 | + | 0.0678662i | ||||
\(742\) | −13.5048 | − | 41.5636i | −0.495778 | − | 1.52585i | ||||
\(743\) | 20.4472 | − | 35.4157i | 0.750136 | − | 1.29927i | −0.197620 | − | 0.980279i | \(-0.563321\pi\) |
0.947756 | − | 0.318996i | \(-0.103346\pi\) | |||||||
\(744\) | −4.67926 | − | 0.994608i | −0.171550 | − | 0.0364641i | ||||
\(745\) | 2.24391 | + | 11.8131i | 0.0822105 | + | 0.432797i | ||||
\(746\) | 17.5306 | + | 19.4697i | 0.641839 | + | 0.712835i | ||||
\(747\) | −23.7774 | + | 5.05405i | −0.869971 | + | 0.184918i | ||||
\(748\) | 22.2027 | − | 16.1312i | 0.811811 | − | 0.589815i | ||||
\(749\) | 12.1469 | 0.443839 | ||||||||
\(750\) | 29.0061 | + | 4.97589i | 1.05915 | + | 0.181694i | ||||
\(751\) | −14.4123 | − | 24.9629i | −0.525913 | − | 0.910908i | −0.999544 | − | 0.0301851i | \(-0.990390\pi\) |
0.473631 | − | 0.880723i | \(-0.342943\pi\) | |||||||
\(752\) | 5.43037 | − | 3.94539i | 0.198025 | − | 0.143874i | ||||
\(753\) | −16.1836 | + | 49.8081i | −0.589764 | + | 1.81511i | ||||
\(754\) | −5.78308 | + | 1.22923i | −0.210607 | + | 0.0447660i | ||||
\(755\) | 7.80927 | − | 6.73015i | 0.284208 | − | 0.244935i | ||||
\(756\) | 7.35110 | − | 8.16422i | 0.267357 | − | 0.296930i | ||||
\(757\) | 8.34515 | − | 14.4542i | 0.303310 | − | 0.525348i | −0.673574 | − | 0.739120i | \(-0.735242\pi\) |
0.976884 | + | 0.213772i | \(0.0685750\pi\) | |||||||
\(758\) | −7.17529 | − | 1.52516i | −0.260618 | − | 0.0553961i | ||||
\(759\) | 58.0551 | + | 42.1795i | 2.10727 | + | 1.53102i | ||||
\(760\) | −3.10870 | − | 9.23775i | −0.112764 | − | 0.335088i | ||||
\(761\) | −25.1793 | + | 18.2939i | −0.912750 | + | 0.663152i | −0.941709 | − | 0.336429i | \(-0.890781\pi\) |
0.0289590 | + | 0.999581i | \(0.490781\pi\) | |||||||
\(762\) | −30.8352 | + | 13.7287i | −1.11704 | + | 0.497339i | ||||
\(763\) | 8.86110 | − | 3.94522i | 0.320793 | − | 0.142826i | ||||
\(764\) | −21.6743 | − | 9.65004i | −0.784150 | − | 0.349126i | ||||
\(765\) | −17.6221 | − | 42.0130i | −0.637128 | − | 1.51898i | ||||
\(766\) | 0.718767 | − | 6.83861i | 0.0259701 | − | 0.247089i | ||||
\(767\) | 7.02827 | + | 21.6308i | 0.253776 | + | 0.781043i | ||||
\(768\) | −2.63228 | −0.0949843 | ||||||||
\(769\) | 23.3148 | − | 25.8937i | 0.840753 | − | 0.933750i | −0.157803 | − | 0.987471i | \(-0.550441\pi\) |
0.998556 | + | 0.0537201i | \(0.0171079\pi\) | |||||||
\(770\) | −52.7433 | − | 6.70484i | −1.90074 | − | 0.241626i | ||||
\(771\) | 10.2072 | − | 31.4144i | 0.367602 | − | 1.13136i | ||||
\(772\) | 3.39537 | − | 10.4499i | 0.122202 | − | 0.376099i | ||||
\(773\) | −15.3444 | − | 6.83175i | −0.551898 | − | 0.245721i | 0.111788 | − | 0.993732i | \(-0.464342\pi\) |
−0.663686 | + | 0.748011i | \(0.731009\pi\) | |||||||
\(774\) | −22.9202 | + | 39.6989i | −0.823848 | + | 1.42695i | ||||
\(775\) | 8.96190 | − | 1.50141i | 0.321921 | − | 0.0539322i | ||||
\(776\) | 6.46817 | − | 11.2032i | 0.232194 | − | 0.402172i | ||||
\(777\) | −7.31955 | − | 69.6408i | −0.262587 | − | 2.49835i | ||||
\(778\) | 1.64224 | − | 5.05428i | 0.0588770 | − | 0.181205i | ||||
\(779\) | 18.9852 | + | 5.49995i | 0.680217 | + | 0.197056i | ||||
\(780\) | −0.284053 | + | 13.0733i | −0.0101707 | + | 0.468101i | ||||
\(781\) | 58.3612 | + | 12.4051i | 2.08833 | + | 0.443888i | ||||
\(782\) | −13.3569 | + | 23.1349i | −0.477643 | + | 0.827303i | ||||
\(783\) | −4.35415 | + | 4.83577i | −0.155605 | + | 0.172816i | ||||
\(784\) | 12.0466 | − | 5.36351i | 0.430237 | − | 0.191554i | ||||
\(785\) | 2.12527 | + | 11.1885i | 0.0758541 | + | 0.399334i | ||||
\(786\) | 34.6235 | − | 25.1555i | 1.23498 | − | 0.897265i | ||||
\(787\) | −16.0689 | − | 11.6747i | −0.572793 | − | 0.416159i | 0.263326 | − | 0.964707i | \(-0.415181\pi\) |
−0.836119 | + | 0.548548i | \(0.815181\pi\) | |||||||
\(788\) | −0.614153 | + | 5.84328i | −0.0218783 | + | 0.208158i | ||||
\(789\) | 13.9191 | + | 6.19716i | 0.495531 | + | 0.220625i | ||||
\(790\) | 0.508094 | − | 23.3846i | 0.0180772 | − | 0.831988i | ||||
\(791\) | 67.8913 | + | 49.3259i | 2.41394 | + | 1.75383i | ||||
\(792\) | −13.9128 | + | 15.4517i | −0.494369 | + | 0.549053i | ||||
\(793\) | 5.18907 | − | 8.98773i | 0.184269 | − | 0.319164i | ||||
\(794\) | −10.7347 | + | 11.9221i | −0.380961 | + | 0.423100i | ||||
\(795\) | 57.0551 | − | 4.74622i | 2.02354 | − | 0.168331i | ||||
\(796\) | 11.7668 | + | 13.0684i | 0.417064 | + | 0.463196i | ||||
\(797\) | 10.0772 | − | 31.0145i | 0.356953 | − | 1.09859i | −0.597915 | − | 0.801560i | \(-0.704004\pi\) |
0.954868 | − | 0.297030i | \(-0.0959961\pi\) | |||||||
\(798\) | 51.0692 | − | 7.03549i | 1.80783 | − | 0.249054i | ||||
\(799\) | 34.8088 | 1.23145 | ||||||||
\(800\) | 4.65175 | − | 1.83337i | 0.164464 | − | 0.0648193i | ||||
\(801\) | −17.0701 | + | 29.5663i | −0.603144 | + | 1.04468i | ||||
\(802\) | −1.72664 | − | 0.768750i | −0.0609698 | − | 0.0271455i | ||||
\(803\) | 0.695832 | + | 0.772799i | 0.0245554 | + | 0.0272715i | ||||
\(804\) | −24.2589 | + | 5.15638i | −0.855544 | + | 0.181852i | ||||
\(805\) | 49.5560 | − | 14.9196i | 1.74662 | − | 0.525849i | ||||
\(806\) | 1.24765 | + | 3.83989i | 0.0439468 | + | 0.135254i | ||||
\(807\) | 24.5862 | + | 42.5845i | 0.865475 | + | 1.49905i | ||||
\(808\) | 4.28110 | − | 4.75464i | 0.150609 | − | 0.167268i | ||||
\(809\) | −42.4318 | − | 30.8285i | −1.49182 | − | 1.08387i | −0.973499 | − | 0.228690i | \(-0.926556\pi\) |
−0.518325 | − | 0.855184i | \(-0.673444\pi\) | |||||||
\(810\) | −6.82023 | − | 9.82938i | −0.239638 | − | 0.345369i | ||||
\(811\) | 42.5546 | + | 18.9465i | 1.49429 | + | 0.665302i | 0.981194 | − | 0.193026i | \(-0.0618303\pi\) |
0.513100 | + | 0.858329i | \(0.328497\pi\) | |||||||
\(812\) | −10.9231 | + | 4.86328i | −0.383326 | + | 0.170668i | ||||
\(813\) | 1.72762 | − | 16.4372i | 0.0605904 | − | 0.576479i | ||||
\(814\) | 3.27529 | + | 31.1623i | 0.114799 | + | 1.09224i | ||||
\(815\) | 30.8256 | − | 2.56427i | 1.07977 | − | 0.0898226i | ||||
\(816\) | −11.0435 | − | 8.02359i | −0.386601 | − | 0.280882i | ||||
\(817\) | −47.8373 | + | 17.2639i | −1.67361 | + | 0.603987i | ||||
\(818\) | −35.2388 | −1.23209 | ||||||||
\(819\) | −38.3602 | − | 8.15372i | −1.34041 | − | 0.284914i | ||||
\(820\) | −2.32310 | + | 9.86995i | −0.0811263 | + | 0.344674i | ||||
\(821\) | 31.3199 | − | 6.65725i | 1.09307 | − | 0.232340i | 0.374107 | − | 0.927386i | \(-0.377949\pi\) |
0.718965 | + | 0.695046i | \(0.244616\pi\) | |||||||
\(822\) | −9.82240 | − | 10.9089i | −0.342596 | − | 0.380491i | ||||
\(823\) | −12.2828 | − | 5.46864i | −0.428150 | − | 0.190625i | 0.181336 | − | 0.983421i | \(-0.441958\pi\) |
−0.609487 | + | 0.792796i | \(0.708624\pi\) | |||||||
\(824\) | −3.75491 | −0.130809 | ||||||||
\(825\) | 24.3806 | − | 65.2455i | 0.848823 | − | 2.27156i | ||||
\(826\) | 22.9984 | + | 39.8344i | 0.800216 | + | 1.38602i | ||||
\(827\) | −16.4645 | − | 7.33046i | −0.572526 | − | 0.254905i | 0.0999887 | − | 0.994989i | \(-0.468119\pi\) |
−0.672515 | + | 0.740083i | \(0.734786\pi\) | |||||||
\(828\) | 6.25424 | − | 19.2486i | 0.217350 | − | 0.668934i | ||||
\(829\) | 4.45764 | − | 13.7192i | 0.154820 | − | 0.476487i | −0.843322 | − | 0.537408i | \(-0.819404\pi\) |
0.998143 | + | 0.0609205i | \(0.0194036\pi\) | |||||||
\(830\) | 5.90034 | − | 12.5135i | 0.204804 | − | 0.434350i | ||||
\(831\) | −65.0339 | − | 13.8234i | −2.25600 | − | 0.479528i | ||||
\(832\) | 1.11081 | + | 1.92399i | 0.0385106 | + | 0.0667022i | ||||
\(833\) | 66.8894 | + | 14.2178i | 2.31758 | + | 0.492617i | ||||
\(834\) | −1.24495 | + | 0.554290i | −0.0431093 | + | 0.0191935i | ||||
\(835\) | −0.484082 | + | 22.2795i | −0.0167523 | + | 0.771013i | ||||
\(836\) | −22.8520 | + | 3.14818i | −0.790354 | + | 0.108882i | ||||
\(837\) | 3.59507 | + | 2.61197i | 0.124264 | + | 0.0902829i | ||||
\(838\) | −14.4805 | + | 6.44712i | −0.500219 | + | 0.222712i | ||||
\(839\) | 2.54751 | + | 24.2380i | 0.0879499 | + | 0.836787i | 0.946206 | + | 0.323565i | \(0.104882\pi\) |
−0.858256 | + | 0.513222i | \(0.828452\pi\) | |||||||
\(840\) | 4.93510 | + | 25.9808i | 0.170277 | + | 0.896424i | ||||
\(841\) | −20.0229 | + | 8.91478i | −0.690446 | + | 0.307406i | ||||
\(842\) | 23.7091 | − | 26.3316i | 0.817068 | − | 0.907446i | ||||
\(843\) | −12.5060 | −0.430730 | ||||||||
\(844\) | 1.02541 | + | 3.15589i | 0.0352961 | + | 0.108630i | ||||
\(845\) | −15.8087 | + | 8.67488i | −0.543838 | + | 0.298425i | ||||
\(846\) | −25.7958 | + | 5.48306i | −0.886878 | + | 0.188512i | ||||
\(847\) | −23.6120 | + | 72.6704i | −0.811319 | + | 2.49698i | ||||
\(848\) | 7.86922 | − | 5.71733i | 0.270230 | − | 0.196334i | ||||
\(849\) | −27.5654 | − | 47.7447i | −0.946043 | − | 1.63859i | ||||
\(850\) | 25.1044 | + | 6.48749i | 0.861074 | + | 0.222519i | ||||
\(851\) | −15.2501 | − | 26.4140i | −0.522768 | − | 0.905461i | ||||
\(852\) | −3.10211 | − | 29.5146i | −0.106276 | − | 1.01115i | ||||
\(853\) | 16.3956 | + | 18.2092i | 0.561376 | + | 0.623471i | 0.955288 | − | 0.295677i | \(-0.0955453\pi\) |
−0.393912 | + | 0.919148i | \(0.628879\pi\) | |||||||
\(854\) | 6.48579 | − | 19.9612i | 0.221939 | − | 0.683058i | ||||
\(855\) | −3.60435 | + | 38.1243i | −0.123266 | + | 1.30382i | ||||
\(856\) | 0.835442 | + | 2.57123i | 0.0285548 | + | 0.0878827i | ||||
\(857\) | −4.53854 | + | 7.86098i | −0.155034 | + | 0.268526i | −0.933071 | − | 0.359692i | \(-0.882882\pi\) |
0.778038 | + | 0.628218i | \(0.216215\pi\) | |||||||
\(858\) | 30.2719 | + | 6.43448i | 1.03346 | + | 0.219670i | ||||
\(859\) | 0.0604931 | − | 0.575553i | 0.00206400 | − | 0.0196376i | −0.993441 | − | 0.114342i | \(-0.963524\pi\) |
0.995505 | + | 0.0947046i | \(0.0301906\pi\) | |||||||
\(860\) | −10.0912 | − | 24.0585i | −0.344106 | − | 0.820388i | ||||
\(861\) | −48.9930 | − | 21.8131i | −1.66968 | − | 0.743388i | ||||
\(862\) | 15.3328 | + | 11.1399i | 0.522236 | + | 0.379427i | ||||
\(863\) | −2.69085 | − | 1.95502i | −0.0915978 | − | 0.0665497i | 0.541044 | − | 0.840994i | \(-0.318029\pi\) |
−0.632642 | + | 0.774445i | \(0.718029\pi\) | |||||||
\(864\) | 2.23377 | + | 0.994540i | 0.0759945 | + | 0.0338349i | ||||
\(865\) | −21.3331 | − | 20.0645i | −0.725349 | − | 0.682214i | ||||
\(866\) | −20.1513 | − | 14.6408i | −0.684770 | − | 0.497515i | ||||
\(867\) | −8.04696 | − | 24.7660i | −0.273289 | − | 0.841097i | ||||
\(868\) | 4.08266 | + | 7.07137i | 0.138574 | + | 0.240018i | ||||
\(869\) | −54.1481 | − | 11.5095i | −1.83685 | − | 0.390434i | ||||
\(870\) | −2.92312 | − | 15.3888i | −0.0991031 | − | 0.521728i | ||||
\(871\) | 14.0061 | + | 15.5553i | 0.474577 | + | 0.527071i | ||||
\(872\) | 1.44456 | + | 1.60435i | 0.0489190 | + | 0.0543301i | ||||
\(873\) | −41.1189 | + | 29.8747i | −1.39167 | + | 1.01110i | ||||
\(874\) | 19.0745 | − | 11.8470i | 0.645206 | − | 0.400729i | ||||
\(875\) | −26.8167 | − | 42.4759i | −0.906571 | − | 1.43595i | ||||
\(876\) | 0.258622 | − | 0.447946i | 0.00873803 | − | 0.0151347i | ||||
\(877\) | −0.817296 | − | 7.77605i | −0.0275981 | − | 0.262579i | −0.999617 | − | 0.0276757i | \(-0.991189\pi\) |
0.972019 | − | 0.234903i | \(-0.0754772\pi\) | |||||||
\(878\) | 1.84907 | − | 0.393031i | 0.0624029 | − | 0.0132642i | ||||
\(879\) | 18.2701 | + | 20.2910i | 0.616236 | + | 0.684400i | ||||
\(880\) | −2.20832 | − | 11.6257i | −0.0744424 | − | 0.391902i | ||||
\(881\) | 7.10946 | + | 21.8807i | 0.239524 | + | 0.737178i | 0.996489 | + | 0.0837232i | \(0.0266812\pi\) |
−0.756965 | + | 0.653455i | \(0.773319\pi\) | |||||||
\(882\) | −51.8094 | −1.74451 | ||||||||
\(883\) | −5.91671 | + | 6.57117i | −0.199113 | + | 0.221138i | −0.834430 | − | 0.551114i | \(-0.814203\pi\) |
0.635317 | + | 0.772252i | \(0.280870\pi\) | |||||||
\(884\) | −1.20427 | + | 11.4579i | −0.0405040 | + | 0.385369i | ||||
\(885\) | −57.6994 | + | 17.3714i | −1.93955 | + | 0.583932i | ||||
\(886\) | −16.5239 | + | 12.0053i | −0.555130 | + | 0.403326i | ||||
\(887\) | −6.13087 | + | 58.3313i | −0.205855 | + | 1.95858i | 0.0704790 | + | 0.997513i | \(0.477547\pi\) |
−0.276334 | + | 0.961062i | \(0.589119\pi\) | |||||||
\(888\) | 14.2379 | − | 6.33914i | 0.477794 | − | 0.212728i | ||||
\(889\) | 52.6316 | + | 23.4331i | 1.76521 | + | 0.785921i | ||||
\(890\) | −7.51556 | − | 17.9179i | −0.251922 | − | 0.600611i | ||||
\(891\) | −25.8669 | + | 11.5167i | −0.866574 | + | 0.385823i | ||||
\(892\) | −2.54414 | − | 7.83007i | −0.0851842 | − | 0.262170i | ||||
\(893\) | −25.7960 | − | 13.8062i | −0.863230 | − | 0.462009i | ||||
\(894\) | −4.37411 | − | 13.4621i | −0.146292 | − | 0.450241i | ||||
\(895\) | −1.75382 | − | 4.18130i | −0.0586237 | − | 0.139765i | ||||
\(896\) | 3.00638 | + | 3.33892i | 0.100436 | + | 0.111545i | ||||
\(897\) | −29.4665 | + | 6.26329i | −0.983857 | + | 0.209125i | ||||
\(898\) | 2.60406 | + | 24.7760i | 0.0868987 | + | 0.826786i | ||||
\(899\) | −2.41821 | − | 4.18846i | −0.0806518 | − | 0.139693i | ||||
\(900\) | −19.6260 | − | 0.853260i | −0.654201 | − | 0.0284420i | ||||
\(901\) | 50.4419 | 1.68046 | ||||||||
\(902\) | 21.9230 | + | 9.76073i | 0.729955 | + | 0.324997i | ||||
\(903\) | 134.972 | − | 28.6892i | 4.49159 | − | 0.954718i | ||||
\(904\) | −5.77173 | + | 17.7636i | −0.191965 | + | 0.590807i | ||||
\(905\) | 0.0832127 | − | 3.82980i | 0.00276608 | − | 0.127307i | ||||
\(906\) | −8.12051 | + | 9.01874i | −0.269786 | + | 0.299628i | ||||
\(907\) | −22.1923 | + | 38.4382i | −0.736884 | + | 1.27632i | 0.217008 | + | 0.976170i | \(0.430370\pi\) |
−0.953892 | + | 0.300151i | \(0.902963\pi\) | |||||||
\(908\) | −14.0409 | + | 15.5939i | −0.465962 | + | 0.517503i | ||||
\(909\) | −22.9640 | + | 10.2242i | −0.761667 | + | 0.339116i | ||||
\(910\) | 16.9073 | − | 14.5710i | 0.560471 | − | 0.483023i | ||||
\(911\) | 2.07815 | − | 1.50986i | 0.0688522 | − | 0.0500240i | −0.552827 | − | 0.833296i | \(-0.686451\pi\) |
0.621679 | + | 0.783272i | \(0.286451\pi\) | |||||||
\(912\) | 5.00169 | + | 10.3263i | 0.165623 | + | 0.341938i | ||||
\(913\) | −26.4896 | − | 19.2458i | −0.876679 | − | 0.636945i | ||||
\(914\) | 0.676536 | + | 6.43681i | 0.0223778 | + | 0.212911i | ||||
\(915\) | 23.5078 | + | 14.2619i | 0.777143 | + | 0.471484i | ||||
\(916\) | 0.0538126 | − | 0.511993i | 0.00177802 | − | 0.0169167i | ||||
\(917\) | −71.4525 | − | 15.1877i | −2.35957 | − | 0.501542i | ||||
\(918\) | 6.34011 | + | 10.9814i | 0.209255 | + | 0.362440i | ||||
\(919\) | 2.06463 | + | 6.35428i | 0.0681058 | + | 0.209608i | 0.979317 | − | 0.202331i | \(-0.0648516\pi\) |
−0.911211 | + | 0.411939i | \(0.864852\pi\) | |||||||
\(920\) | 6.56651 | + | 9.46372i | 0.216491 | + | 0.312010i | ||||
\(921\) | −44.5569 | + | 9.47087i | −1.46820 | + | 0.312076i | ||||
\(922\) | −37.8207 | + | 8.03904i | −1.24556 | + | 0.264752i | ||||
\(923\) | −20.2637 | + | 14.7224i | −0.666988 | + | 0.484595i | ||||
\(924\) | 62.5887 | 2.05902 | ||||||||
\(925\) | −20.7460 | + | 21.1191i | −0.682125 | + | 0.694392i | ||||
\(926\) | −3.23526 | + | 5.60364i | −0.106317 | + | 0.184147i | ||||
\(927\) | 13.4773 | + | 6.00048i | 0.442652 | + | 0.197082i | ||||
\(928\) | −1.78071 | − | 1.97768i | −0.0584548 | − | 0.0649206i | ||||
\(929\) | 3.38170 | + | 3.75576i | 0.110950 | + | 0.123223i | 0.796062 | − | 0.605216i | \(-0.206913\pi\) |
−0.685111 | + | 0.728438i | \(0.740246\pi\) | |||||||
\(930\) | −10.2428 | + | 3.08375i | −0.335874 | + | 0.101120i | ||||
\(931\) | −43.9310 | − | 37.0669i | −1.43978 | − | 1.21482i | ||||
\(932\) | 29.6569 | 0.971445 | ||||||||
\(933\) | −60.5436 | − | 12.8689i | −1.98211 | − | 0.421310i | ||||
\(934\) | −12.1526 | + | 5.41068i | −0.397645 | + | 0.177043i | ||||
\(935\) | 26.1720 | − | 55.5059i | 0.855916 | − | 1.81524i | ||||
\(936\) | −0.912386 | − | 8.68078i | −0.0298223 | − | 0.283740i | ||||
\(937\) | −4.62266 | + | 43.9817i | −0.151016 | + | 1.43682i | 0.612214 | + | 0.790692i | \(0.290279\pi\) |
−0.763230 | + | 0.646127i | \(0.776388\pi\) | |||||||
\(938\) | 34.2471 | + | 24.8820i | 1.11821 | + | 0.812425i | ||||
\(939\) | −20.3153 | + | 14.7599i | −0.662964 | + | 0.481672i | ||||
\(940\) | 6.40119 | − | 13.5757i | 0.208784 | − | 0.442791i | ||||
\(941\) | 4.66387 | − | 44.3738i | 0.152038 | − | 1.44654i | −0.606587 | − | 0.795017i | \(-0.707462\pi\) |
0.758625 | − | 0.651527i | \(-0.225871\pi\) | |||||||
\(942\) | −4.14284 | − | 12.7503i | −0.134981 | − | 0.415429i | ||||
\(943\) | −23.3592 | −0.760680 | ||||||||
\(944\) | −6.85024 | + | 7.60796i | −0.222956 | + | 0.247618i | ||||
\(945\) | 5.62823 | − | 23.9121i | 0.183086 | − | 0.777861i | ||||
\(946\) | −60.3962 | + | 12.8376i | −1.96365 | + | 0.417387i | ||||
\(947\) | −16.8240 | − | 18.6849i | −0.546706 | − | 0.607178i | 0.404952 | − | 0.914338i | \(-0.367288\pi\) |
−0.951658 | + | 0.307160i | \(0.900621\pi\) | |||||||
\(948\) | 2.87816 | + | 27.3839i | 0.0934783 | + | 0.889387i | ||||
\(949\) | −0.436550 | −0.0141710 | ||||||||
\(950\) | −16.0311 | − | 14.7649i | −0.520119 | − | 0.479037i | ||||
\(951\) | −83.5288 | −2.70861 | ||||||||
\(952\) | 2.43548 | + | 23.1720i | 0.0789344 | + | 0.751010i | ||||
\(953\) | 10.5779 | + | 11.7479i | 0.342651 | + | 0.380553i | 0.889698 | − | 0.456549i | \(-0.150915\pi\) |
−0.547047 | + | 0.837102i | \(0.684248\pi\) | |||||||
\(954\) | −37.3810 | + | 7.94559i | −1.21026 | + | 0.257248i | ||||
\(955\) | −52.8693 | + | 4.39801i | −1.71081 | + | 0.142316i | ||||
\(956\) | −13.9073 | + | 15.4456i | −0.449794 | + | 0.499547i | ||||
\(957\) | −37.0721 | −1.19837 | ||||||||
\(958\) | 3.15976 | + | 9.72475i | 0.102087 | + | 0.314192i | ||||
\(959\) | −2.61903 | + | 24.9185i | −0.0845731 | + | 0.804659i | ||||
\(960\) | −5.16012 | + | 2.83156i | −0.166542 | + | 0.0913882i | ||||
\(961\) | 22.4075 | − | 16.2800i | 0.722823 | − | 0.525162i | ||||
\(962\) | −10.6418 | − | 7.73169i | −0.343104 | − | 0.249280i | ||||
\(963\) | 1.11030 | − | 10.5638i | 0.0357790 | − | 0.340414i | ||||
\(964\) | −0.588824 | − | 5.60229i | −0.0189648 | − | 0.180438i | ||||
\(965\) | −4.58496 | − | 24.1375i | −0.147595 | − | 0.777013i | ||||
\(966\) | −55.6564 | + | 24.7798i | −1.79071 | + | 0.797277i | ||||
\(967\) | 41.0551 | + | 8.72653i | 1.32024 | + | 0.280626i | 0.813547 | − | 0.581499i | \(-0.197534\pi\) |
0.506695 | + | 0.862125i | \(0.330867\pi\) | |||||||
\(968\) | −17.0067 | −0.546614 | ||||||||
\(969\) | −10.4919 | + | 58.5690i | −0.337049 | + | 1.88151i | ||||
\(970\) | 0.628358 | − | 28.9197i | 0.0201754 | − | 0.928556i | ||||
\(971\) | 34.7205 | + | 38.5610i | 1.11423 | + | 1.23748i | 0.968728 | + | 0.248124i | \(0.0798141\pi\) |
0.145505 | + | 0.989357i | \(0.453519\pi\) | |||||||
\(972\) | 14.3322 | + | 15.9176i | 0.459707 | + | 0.510556i | ||||
\(973\) | 2.12497 | + | 0.946099i | 0.0681235 | + | 0.0303305i | ||||
\(974\) | −11.5988 | + | 20.0896i | −0.371648 | + | 0.643713i | ||||
\(975\) | 13.5062 | + | 25.9335i | 0.432545 | + | 0.830537i | ||||
\(976\) | 4.67141 | 0.149528 | ||||||||
\(977\) | −4.73249 | + | 3.43835i | −0.151406 | + | 0.110003i | −0.660909 | − | 0.750466i | \(-0.729829\pi\) |
0.509503 | + | 0.860469i | \(0.329829\pi\) | |||||||
\(978\) | −35.6173 | + | 7.57069i | −1.13892 | + | 0.242084i | ||||
\(979\) | −44.9810 | + | 9.56101i | −1.43760 | + | 0.305571i | ||||
\(980\) | 17.8457 | − | 23.4728i | 0.570061 | − | 0.749811i | ||||
\(981\) | −2.62108 | − | 8.06685i | −0.0836846 | − | 0.257555i | ||||
\(982\) | 15.5652 | + | 26.9597i | 0.496705 | + | 0.860319i | ||||
\(983\) | 9.62412 | + | 2.04567i | 0.306962 | + | 0.0652468i | 0.358817 | − | 0.933408i | \(-0.383180\pi\) |
−0.0518553 | + | 0.998655i | \(0.516513\pi\) | |||||||
\(984\) | 1.24769 | − | 11.8710i | 0.0397748 | − | 0.378432i | ||||
\(985\) | 5.08170 | + | 12.1153i | 0.161916 | + | 0.386027i | ||||
\(986\) | −1.44257 | − | 13.7251i | −0.0459406 | − | 0.437096i | ||||
\(987\) | 64.2236 | + | 46.6612i | 2.04426 | + | 1.48524i | ||||
\(988\) | 5.43699 | − | 8.01350i | 0.172974 | − | 0.254943i | ||||
\(989\) | 48.6241 | − | 35.3275i | 1.54616 | − | 1.12335i | ||||
\(990\) | −10.6521 | + | 45.2564i | −0.338544 | + | 1.43834i | ||||
\(991\) | −5.65211 | + | 2.51648i | −0.179545 | + | 0.0799387i | −0.494541 | − | 0.869154i | \(-0.664664\pi\) |
0.314995 | + | 0.949093i | \(0.397997\pi\) | |||||||
\(992\) | −1.21605 | + | 1.35056i | −0.0386096 | + | 0.0428803i | ||||
\(993\) | 42.4934 | − | 73.6007i | 1.34849 | − | 2.33565i | ||||
\(994\) | −33.8948 | + | 37.6440i | −1.07508 | + | 1.19399i | ||||
\(995\) | 37.1244 | + | 12.9606i | 1.17692 | + | 0.410878i | ||||
\(996\) | −5.03272 | + | 15.4891i | −0.159468 | + | 0.490792i | ||||
\(997\) | 5.33324 | − | 1.13362i | 0.168905 | − | 0.0359019i | −0.122683 | − | 0.992446i | \(-0.539150\pi\) |
0.291588 | + | 0.956544i | \(0.405816\pi\) | |||||||
\(998\) | −27.6337 | − | 12.3033i | −0.874729 | − | 0.389455i | ||||
\(999\) | −14.4775 | −0.458048 |
(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 | 950.2.r.a.11.4 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.a.311.22 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.a.391.22 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.a.691.4 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.a.11.4 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.a.311.22 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.a.391.22 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.a.691.4 | yes | 200 | 475.216 | even | 15 | inner |