Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 97.9 | ||
Character | \(\chi\) | \(=\) | 99.97 |
Dual form | 99.2.m.b.49.9 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.55841 | + | 1.73079i | 1.10196 | + | 1.22385i | 0.972657 | + | 0.232245i | \(0.0746072\pi\) |
0.129303 | + | 0.991605i | \(0.458726\pi\) | |||||||
\(3\) | 0.0128080 | − | 1.73200i | 0.00739470 | − | 0.999973i | ||||
\(4\) | −0.357932 | + | 3.40549i | −0.178966 | + | 1.70275i | ||||
\(5\) | −0.212128 | + | 0.235592i | −0.0948664 | + | 0.105360i | −0.788708 | − | 0.614767i | \(-0.789250\pi\) |
0.693842 | + | 0.720127i | \(0.255917\pi\) | |||||||
\(6\) | 3.01769 | − | 2.67700i | 1.23197 | − | 1.09288i | ||||
\(7\) | −1.29586 | + | 0.576953i | −0.489788 | + | 0.218068i | −0.636744 | − | 0.771075i | \(-0.719719\pi\) |
0.146956 | + | 0.989143i | \(0.453052\pi\) | |||||||
\(8\) | −2.68358 | + | 1.94973i | −0.948787 | + | 0.689334i | ||||
\(9\) | −2.99967 | − | 0.0443670i | −0.999891 | − | 0.0147890i | ||||
\(10\) | −0.738340 | −0.233484 | ||||||||
\(11\) | 2.21923 | − | 2.46476i | 0.669123 | − | 0.743152i | ||||
\(12\) | 5.89374 | + | 0.663556i | 1.70138 | + | 0.191552i | ||||
\(13\) | −4.10532 | + | 0.872613i | −1.13861 | + | 0.242019i | −0.738373 | − | 0.674392i | \(-0.764406\pi\) |
−0.400238 | + | 0.916411i | \(0.631072\pi\) | |||||||
\(14\) | −3.01805 | − | 1.34372i | −0.806609 | − | 0.359125i | ||||
\(15\) | 0.405329 | + | 0.370423i | 0.104655 | + | 0.0956429i | ||||
\(16\) | −0.857827 | − | 0.182337i | −0.214457 | − | 0.0455842i | ||||
\(17\) | −1.92957 | − | 5.93860i | −0.467989 | − | 1.44032i | −0.855184 | − | 0.518325i | \(-0.826556\pi\) |
0.387195 | − | 0.921998i | \(-0.373444\pi\) | |||||||
\(18\) | −4.59792 | − | 5.26093i | −1.08374 | − | 1.24001i | ||||
\(19\) | −2.50622 | + | 1.82087i | −0.574966 | + | 0.417737i | −0.836906 | − | 0.547347i | \(-0.815638\pi\) |
0.261940 | + | 0.965084i | \(0.415638\pi\) | |||||||
\(20\) | −0.726379 | − | 0.806725i | −0.162423 | − | 0.180389i | ||||
\(21\) | 0.982687 | + | 2.25182i | 0.214440 | + | 0.491387i | ||||
\(22\) | 7.72443 | 7.98214e-5i | 1.64685 | 1.70180e-5i | ||||||
\(23\) | 2.26025 | + | 3.91487i | 0.471295 | + | 0.816306i | 0.999461 | − | 0.0328349i | \(-0.0104536\pi\) |
−0.528166 | + | 0.849141i | \(0.677120\pi\) | |||||||
\(24\) | 3.34257 | + | 4.67294i | 0.682300 | + | 0.953859i | ||||
\(25\) | 0.512137 | + | 4.87266i | 0.102427 | + | 0.974532i | ||||
\(26\) | −7.90807 | − | 5.74555i | −1.55090 | − | 1.12679i | ||||
\(27\) | −0.115264 | + | 5.19487i | −0.0221825 | + | 0.999754i | ||||
\(28\) | −1.50098 | − | 4.61954i | −0.283659 | − | 0.873011i | ||||
\(29\) | 2.67527 | − | 1.19111i | 0.496785 | − | 0.221183i | −0.143021 | − | 0.989720i | \(-0.545682\pi\) |
0.639805 | + | 0.768537i | \(0.279015\pi\) | |||||||
\(30\) | −0.00945666 | + | 1.27881i | −0.00172654 | + | 0.233477i | ||||
\(31\) | 9.33325 | − | 1.98384i | 1.67630 | − | 0.356309i | 0.730967 | − | 0.682412i | \(-0.239069\pi\) |
0.945334 | + | 0.326103i | \(0.105736\pi\) | |||||||
\(32\) | 2.29583 | + | 3.97649i | 0.405848 | + | 0.702950i | ||||
\(33\) | −4.24054 | − | 3.87528i | −0.738183 | − | 0.674600i | ||||
\(34\) | 7.27140 | − | 12.5944i | 1.24703 | − | 2.15993i | ||||
\(35\) | 0.138962 | − | 0.427681i | 0.0234889 | − | 0.0722913i | ||||
\(36\) | 1.22477 | − | 10.1995i | 0.204128 | − | 1.69991i | ||||
\(37\) | −0.685637 | − | 0.498145i | −0.112718 | − | 0.0818945i | 0.529998 | − | 0.847999i | \(-0.322193\pi\) |
−0.642716 | + | 0.766104i | \(0.722193\pi\) | |||||||
\(38\) | −7.05725 | − | 1.50006i | −1.14484 | − | 0.243343i | ||||
\(39\) | 1.45879 | + | 7.12161i | 0.233593 | + | 1.14037i | ||||
\(40\) | 0.109920 | − | 1.04582i | 0.0173799 | − | 0.165359i | ||||
\(41\) | −3.53506 | − | 1.57391i | −0.552084 | − | 0.245804i | 0.111682 | − | 0.993744i | \(-0.464376\pi\) |
−0.663766 | + | 0.747940i | \(0.731043\pi\) | |||||||
\(42\) | −2.36599 | + | 5.21007i | −0.365080 | + | 0.803931i | ||||
\(43\) | −1.77651 | + | 3.07700i | −0.270915 | + | 0.469239i | −0.969096 | − | 0.246682i | \(-0.920660\pi\) |
0.698181 | + | 0.715921i | \(0.253993\pi\) | |||||||
\(44\) | 7.59937 | + | 8.43978i | 1.14565 | + | 1.27235i | ||||
\(45\) | 0.646766 | − | 0.697286i | 0.0964142 | − | 0.103945i | ||||
\(46\) | −3.25341 | + | 10.0130i | −0.479689 | + | 1.47633i | ||||
\(47\) | 0.778841 | + | 7.41018i | 0.113606 | + | 1.08089i | 0.891665 | + | 0.452695i | \(0.149538\pi\) |
−0.778059 | + | 0.628191i | \(0.783796\pi\) | |||||||
\(48\) | −0.326795 | + | 1.48342i | −0.0471688 | + | 0.214114i | ||||
\(49\) | −3.33754 | + | 3.70672i | −0.476792 | + | 0.529531i | ||||
\(50\) | −7.63541 | + | 8.47998i | −1.07981 | + | 1.19925i | ||||
\(51\) | −10.3104 | + | 3.26596i | −1.44374 | + | 0.457326i | ||||
\(52\) | −1.50225 | − | 14.2930i | −0.208325 | − | 1.98208i | ||||
\(53\) | 2.06517 | − | 6.35595i | 0.283673 | − | 0.873057i | −0.703120 | − | 0.711071i | \(-0.748210\pi\) |
0.986793 | − | 0.161986i | \(-0.0517898\pi\) | |||||||
\(54\) | −9.17084 | + | 7.89623i | −1.24799 | + | 1.07454i | ||||
\(55\) | 0.109916 | + | 1.04568i | 0.0148210 | + | 0.140999i | ||||
\(56\) | 2.35263 | − | 4.07487i | 0.314383 | − | 0.544528i | ||||
\(57\) | 3.12166 | + | 4.36410i | 0.413474 | + | 0.578039i | ||||
\(58\) | 6.23070 | + | 2.77409i | 0.818132 | + | 0.364256i | ||||
\(59\) | 1.26216 | − | 12.0086i | 0.164319 | − | 1.56339i | −0.532680 | − | 0.846317i | \(-0.678815\pi\) |
0.696998 | − | 0.717073i | \(-0.254518\pi\) | |||||||
\(60\) | −1.40655 | + | 1.24776i | −0.181585 | + | 0.161085i | ||||
\(61\) | −4.51935 | − | 0.960618i | −0.578644 | − | 0.122995i | −0.0907135 | − | 0.995877i | \(-0.528915\pi\) |
−0.487931 | + | 0.872882i | \(0.662248\pi\) | |||||||
\(62\) | 17.9786 | + | 13.0622i | 2.28329 | + | 1.65890i | ||||
\(63\) | 3.91274 | − | 1.67318i | 0.492960 | − | 0.210800i | ||||
\(64\) | −3.84663 | + | 11.8387i | −0.480828 | + | 1.47984i | ||||
\(65\) | 0.665272 | − | 1.15229i | 0.0825169 | − | 0.142923i | ||||
\(66\) | 0.0987962 | − | 13.3787i | 0.0121610 | − | 1.64681i | ||||
\(67\) | −4.98385 | − | 8.63229i | −0.608875 | − | 1.05460i | −0.991426 | − | 0.130668i | \(-0.958288\pi\) |
0.382552 | − | 0.923934i | \(-0.375045\pi\) | |||||||
\(68\) | 20.9145 | − | 4.44552i | 2.53626 | − | 0.539098i | ||||
\(69\) | 6.80951 | − | 3.86462i | 0.819769 | − | 0.465245i | ||||
\(70\) | 0.956783 | − | 0.425987i | 0.114357 | − | 0.0509152i | ||||
\(71\) | 0.905630 | + | 2.78724i | 0.107479 | + | 0.330785i | 0.990304 | − | 0.138916i | \(-0.0443618\pi\) |
−0.882826 | + | 0.469701i | \(0.844362\pi\) | |||||||
\(72\) | 8.13635 | − | 5.72949i | 0.958878 | − | 0.675227i | ||||
\(73\) | −3.43158 | − | 2.49319i | −0.401636 | − | 0.291806i | 0.368571 | − | 0.929600i | \(-0.379847\pi\) |
−0.770207 | + | 0.637794i | \(0.779847\pi\) | |||||||
\(74\) | −0.206320 | − | 1.96300i | −0.0239842 | − | 0.228195i | ||||
\(75\) | 8.44602 | − | 0.824614i | 0.975262 | − | 0.0952182i | ||||
\(76\) | −5.30392 | − | 9.18665i | −0.608401 | − | 1.05378i | ||||
\(77\) | −1.45376 | + | 4.47436i | −0.165671 | + | 0.509901i | ||||
\(78\) | −10.0526 | + | 13.6232i | −1.13823 | + | 1.54252i | ||||
\(79\) | −2.26299 | − | 2.51331i | −0.254606 | − | 0.282769i | 0.602268 | − | 0.798294i | \(-0.294264\pi\) |
−0.856875 | + | 0.515525i | \(0.827597\pi\) | |||||||
\(80\) | 0.224926 | − | 0.163418i | 0.0251475 | − | 0.0182707i | ||||
\(81\) | 8.99606 | + | 0.266173i | 0.999563 | + | 0.0295748i | ||||
\(82\) | −2.78496 | − | 8.57123i | −0.307548 | − | 0.946534i | ||||
\(83\) | 13.1927 | + | 2.80420i | 1.44809 | + | 0.307801i | 0.863838 | − | 0.503770i | \(-0.168054\pi\) |
0.584253 | + | 0.811571i | \(0.301387\pi\) | |||||||
\(84\) | −8.02029 | + | 2.54054i | −0.875085 | + | 0.277195i | ||||
\(85\) | 1.80840 | + | 0.805152i | 0.196149 | + | 0.0873310i | ||||
\(86\) | −8.09416 | + | 1.72047i | −0.872815 | + | 0.185523i | ||||
\(87\) | −2.02873 | − | 4.64883i | −0.217503 | − | 0.498407i | ||||
\(88\) | −1.14986 | + | 10.9413i | −0.122575 | + | 1.16634i | ||||
\(89\) | 2.69745 | 0.285929 | 0.142965 | − | 0.989728i | \(-0.454336\pi\) | ||||
0.142965 | + | 0.989728i | \(0.454336\pi\) | |||||||
\(90\) | 2.21478 | + | 0.0327579i | 0.233458 | + | 0.00345299i | ||||
\(91\) | 4.81645 | − | 3.49936i | 0.504902 | − | 0.366833i | ||||
\(92\) | −14.1411 | + | 6.29601i | −1.47431 | + | 0.656404i | ||||
\(93\) | −3.31648 | − | 16.1906i | −0.343903 | − | 1.67889i | ||||
\(94\) | −11.6117 | + | 12.8961i | −1.19765 | + | 1.33013i | ||||
\(95\) | 0.102656 | − | 0.976702i | 0.0105322 | − | 0.100208i | ||||
\(96\) | 6.91669 | − | 3.92545i | 0.705932 | − | 0.400639i | ||||
\(97\) | −3.51792 | − | 3.90704i | −0.357190 | − | 0.396700i | 0.537590 | − | 0.843206i | \(-0.319335\pi\) |
−0.894781 | + | 0.446506i | \(0.852668\pi\) | |||||||
\(98\) | −11.6168 | −1.17347 | ||||||||
\(99\) | −6.76631 | + | 7.29500i | −0.680040 | + | 0.733175i | ||||
\(100\) | −16.7771 | −1.67771 | ||||||||
\(101\) | −6.37664 | − | 7.08198i | −0.634500 | − | 0.704683i | 0.337059 | − | 0.941484i | \(-0.390568\pi\) |
−0.971558 | + | 0.236800i | \(0.923901\pi\) | |||||||
\(102\) | −21.7205 | − | 12.7554i | −2.15065 | − | 1.26297i | ||||
\(103\) | −0.996745 | + | 9.48339i | −0.0982122 | + | 0.934426i | 0.828838 | + | 0.559489i | \(0.189003\pi\) |
−0.927050 | + | 0.374938i | \(0.877664\pi\) | |||||||
\(104\) | 9.31558 | − | 10.3460i | 0.913468 | − | 1.01451i | ||||
\(105\) | −0.738965 | − | 0.246160i | −0.0721156 | − | 0.0240228i | ||||
\(106\) | 14.2192 | − | 6.33078i | 1.38109 | − | 0.614900i | ||||
\(107\) | −4.18472 | + | 3.04038i | −0.404552 | + | 0.293924i | −0.771393 | − | 0.636359i | \(-0.780440\pi\) |
0.366840 | + | 0.930284i | \(0.380440\pi\) | |||||||
\(108\) | −17.6498 | − | 2.25194i | −1.69836 | − | 0.216693i | ||||
\(109\) | 14.4767 | 1.38661 | 0.693307 | − | 0.720643i | \(-0.256153\pi\) | ||||
0.693307 | + | 0.720643i | \(0.256153\pi\) | |||||||
\(110\) | −1.63855 | + | 1.81983i | −0.156229 | + | 0.173514i | ||||
\(111\) | −0.871570 | + | 1.18115i | −0.0827258 | + | 0.112109i | ||||
\(112\) | 1.21682 | − | 0.258643i | 0.114979 | − | 0.0244395i | ||||
\(113\) | −6.78911 | − | 3.02271i | −0.638666 | − | 0.284352i | 0.0617453 | − | 0.998092i | \(-0.480333\pi\) |
−0.700411 | + | 0.713740i | \(0.747000\pi\) | |||||||
\(114\) | −2.68851 | + | 12.2040i | −0.251802 | + | 1.14301i | ||||
\(115\) | −1.40177 | − | 0.297956i | −0.130716 | − | 0.0277845i | ||||
\(116\) | 3.09874 | + | 9.53694i | 0.287711 | + | 0.885482i | ||||
\(117\) | 12.3533 | − | 2.43541i | 1.14207 | − | 0.225154i | ||||
\(118\) | 22.7513 | − | 16.5298i | 2.09443 | − | 1.52169i | ||||
\(119\) | 5.92674 | + | 6.58231i | 0.543303 | + | 0.603400i | ||||
\(120\) | −1.80996 | − | 0.203777i | −0.165226 | − | 0.0186022i | ||||
\(121\) | −1.15004 | − | 10.9397i | −0.104549 | − | 0.994520i | ||||
\(122\) | −5.38037 | − | 9.31907i | −0.487116 | − | 0.843709i | ||||
\(123\) | −2.77130 | + | 6.10258i | −0.249880 | + | 0.550251i | ||||
\(124\) | 3.41530 | + | 32.4944i | 0.306703 | + | 2.91808i | ||||
\(125\) | −2.53897 | − | 1.84467i | −0.227092 | − | 0.164992i | ||||
\(126\) | 8.99356 | + | 4.16463i | 0.801210 | + | 0.371015i | ||||
\(127\) | −4.08040 | − | 12.5582i | −0.362077 | − | 1.11436i | −0.951791 | − | 0.306746i | \(-0.900760\pi\) |
0.589715 | − | 0.807612i | \(-0.299240\pi\) | |||||||
\(128\) | −18.0955 | + | 8.05664i | −1.59943 | + | 0.712113i | ||||
\(129\) | 5.30663 | + | 3.11633i | 0.467222 | + | 0.274377i | ||||
\(130\) | 3.03112 | − | 0.644285i | 0.265847 | − | 0.0565075i | ||||
\(131\) | 3.65021 | + | 6.32236i | 0.318921 | + | 0.552387i | 0.980263 | − | 0.197697i | \(-0.0633463\pi\) |
−0.661342 | + | 0.750084i | \(0.730013\pi\) | |||||||
\(132\) | 14.7151 | − | 13.0540i | 1.28078 | − | 1.13621i | ||||
\(133\) | 2.19714 | − | 3.80556i | 0.190516 | − | 0.329984i | ||||
\(134\) | 7.17377 | − | 22.0786i | 0.619719 | − | 1.90730i | ||||
\(135\) | −1.19942 | − | 1.12913i | −0.103230 | − | 0.0971802i | ||||
\(136\) | 16.7568 | + | 12.1746i | 1.43689 | + | 1.04396i | ||||
\(137\) | −9.59302 | − | 2.03906i | −0.819587 | − | 0.174209i | −0.221008 | − | 0.975272i | \(-0.570935\pi\) |
−0.598579 | + | 0.801064i | \(0.704268\pi\) | |||||||
\(138\) | 17.3008 | + | 5.76316i | 1.47274 | + | 0.490593i | ||||
\(139\) | 0.990605 | − | 9.42498i | 0.0840220 | − | 0.799416i | −0.868652 | − | 0.495423i | \(-0.835013\pi\) |
0.952674 | − | 0.303994i | \(-0.0983202\pi\) | |||||||
\(140\) | 1.40673 | + | 0.626314i | 0.118890 | + | 0.0529332i | ||||
\(141\) | 12.8444 | − | 1.25405i | 1.08170 | − | 0.105610i | ||||
\(142\) | −3.41278 | + | 5.91111i | −0.286394 | + | 0.496049i | ||||
\(143\) | −6.95987 | + | 12.0551i | −0.582014 | + | 1.00810i | ||||
\(144\) | 2.56511 | + | 0.585009i | 0.213759 | + | 0.0487508i | ||||
\(145\) | −0.286884 | + | 0.882938i | −0.0238244 | + | 0.0733240i | ||||
\(146\) | −1.03262 | − | 9.82474i | −0.0854604 | − | 0.813101i | ||||
\(147\) | 6.37730 | + | 5.82811i | 0.525991 | + | 0.480694i | ||||
\(148\) | 1.94184 | − | 2.15663i | 0.159618 | − | 0.177274i | ||||
\(149\) | −2.76180 | + | 3.06729i | −0.226256 | + | 0.251282i | −0.845575 | − | 0.533857i | \(-0.820742\pi\) |
0.619319 | + | 0.785139i | \(0.287409\pi\) | |||||||
\(150\) | 14.5896 | + | 13.3332i | 1.19123 | + | 1.08865i | ||||
\(151\) | 1.85802 | + | 17.6779i | 0.151204 | + | 1.43861i | 0.762389 | + | 0.647119i | \(0.224026\pi\) |
−0.611186 | + | 0.791487i | \(0.709307\pi\) | |||||||
\(152\) | 3.17541 | − | 9.77291i | 0.257560 | − | 0.792688i | ||||
\(153\) | 5.52460 | + | 17.8995i | 0.446637 | + | 1.44709i | ||||
\(154\) | −10.0097 | + | 4.45673i | −0.806605 | + | 0.359134i | ||||
\(155\) | −1.51246 | + | 2.61967i | −0.121484 | + | 0.210417i | ||||
\(156\) | −24.7747 | + | 2.41884i | −1.98357 | + | 0.193662i | ||||
\(157\) | −1.84286 | − | 0.820493i | −0.147076 | − | 0.0654825i | 0.331879 | − | 0.943322i | \(-0.392318\pi\) |
−0.478955 | + | 0.877840i | \(0.658984\pi\) | |||||||
\(158\) | 0.823335 | − | 7.83351i | 0.0655010 | − | 0.623200i | ||||
\(159\) | −10.9821 | − | 3.65830i | −0.870935 | − | 0.290122i | ||||
\(160\) | −1.42384 | − | 0.302646i | −0.112564 | − | 0.0239262i | ||||
\(161\) | −5.18765 | − | 3.76905i | −0.408844 | − | 0.297043i | ||||
\(162\) | 13.5588 | + | 15.9851i | 1.06528 | + | 1.25591i | ||||
\(163\) | −0.488377 | + | 1.50307i | −0.0382526 | + | 0.117729i | −0.968359 | − | 0.249560i | \(-0.919714\pi\) |
0.930107 | + | 0.367289i | \(0.119714\pi\) | |||||||
\(164\) | 6.62526 | − | 11.4753i | 0.517346 | − | 0.896069i | ||||
\(165\) | 1.81252 | − | 0.176982i | 0.141105 | − | 0.0137780i | ||||
\(166\) | 15.7062 | + | 27.2039i | 1.21904 | + | 2.11143i | ||||
\(167\) | −14.9868 | + | 3.18555i | −1.15971 | + | 0.246505i | −0.747297 | − | 0.664490i | \(-0.768649\pi\) |
−0.412417 | + | 0.910995i | \(0.635315\pi\) | |||||||
\(168\) | −7.02756 | − | 4.12695i | −0.542188 | − | 0.318401i | ||||
\(169\) | 4.21612 | − | 1.87714i | 0.324317 | − | 0.144395i | ||||
\(170\) | 1.42468 | + | 4.38471i | 0.109268 | + | 0.336292i | ||||
\(171\) | 7.59862 | − | 5.35083i | 0.581081 | − | 0.409188i | ||||
\(172\) | −9.84284 | − | 7.15124i | −0.750510 | − | 0.545277i | ||||
\(173\) | 0.103069 | + | 0.980638i | 0.00783620 | + | 0.0745565i | 0.997741 | − | 0.0671768i | \(-0.0213991\pi\) |
−0.989905 | + | 0.141733i | \(0.954732\pi\) | |||||||
\(174\) | 4.88453 | − | 10.7561i | 0.370295 | − | 0.815416i | ||||
\(175\) | −3.47495 | − | 6.01879i | −0.262682 | − | 0.454978i | ||||
\(176\) | −2.35313 | + | 1.70969i | −0.177374 | + | 0.128872i | ||||
\(177\) | −20.7828 | − | 2.33987i | −1.56213 | − | 0.175875i | ||||
\(178\) | 4.20373 | + | 4.66871i | 0.315083 | + | 0.349935i | ||||
\(179\) | 9.08186 | − | 6.59836i | 0.678810 | − | 0.493185i | −0.194153 | − | 0.980971i | \(-0.562196\pi\) |
0.872963 | + | 0.487787i | \(0.162196\pi\) | |||||||
\(180\) | 2.14311 | + | 2.45214i | 0.159738 | + | 0.182772i | ||||
\(181\) | 5.53932 | + | 17.0483i | 0.411735 | + | 1.26719i | 0.915139 | + | 0.403138i | \(0.132081\pi\) |
−0.503405 | + | 0.864051i | \(0.667919\pi\) | |||||||
\(182\) | 13.5626 | + | 2.88283i | 1.00533 | + | 0.213689i | ||||
\(183\) | −1.72168 | + | 7.81523i | −0.127270 | + | 0.577719i | ||||
\(184\) | −13.6985 | − | 6.09896i | −1.00987 | − | 0.449621i | ||||
\(185\) | 0.262801 | − | 0.0558602i | 0.0193216 | − | 0.00410692i | ||||
\(186\) | 22.8541 | − | 30.9717i | 1.67574 | − | 2.27096i | ||||
\(187\) | −18.9194 | − | 8.42321i | −1.38352 | − | 0.615966i | ||||
\(188\) | −25.5141 | −1.86081 | ||||||||
\(189\) | −2.84783 | − | 6.79832i | −0.207149 | − | 0.494505i | ||||
\(190\) | 1.85044 | − | 1.34442i | 0.134245 | − | 0.0975348i | ||||
\(191\) | 11.7737 | − | 5.24200i | 0.851917 | − | 0.379298i | 0.0661416 | − | 0.997810i | \(-0.478931\pi\) |
0.785775 | + | 0.618513i | \(0.212264\pi\) | |||||||
\(192\) | 20.4554 | + | 6.81400i | 1.47624 | + | 0.491758i | ||||
\(193\) | −15.4911 | + | 17.2046i | −1.11507 | + | 1.23841i | −0.146624 | + | 0.989192i | \(0.546841\pi\) |
−0.968447 | + | 0.249219i | \(0.919826\pi\) | |||||||
\(194\) | 1.27991 | − | 12.1775i | 0.0918921 | − | 0.874295i | ||||
\(195\) | −1.98724 | − | 1.16701i | −0.142309 | − | 0.0835715i | ||||
\(196\) | −11.4286 | − | 12.6927i | −0.816327 | − | 0.906623i | ||||
\(197\) | 1.07766 | 0.0767801 | 0.0383900 | − | 0.999263i | \(-0.487777\pi\) | ||||
0.0383900 | + | 0.999263i | \(0.487777\pi\) | |||||||
\(198\) | −23.1707 | − | 0.342470i | −1.64667 | − | 0.0243383i | ||||
\(199\) | 16.4307 | 1.16474 | 0.582371 | − | 0.812923i | \(-0.302125\pi\) | ||||
0.582371 | + | 0.812923i | \(0.302125\pi\) | |||||||
\(200\) | −10.8747 | − | 12.0776i | −0.768960 | − | 0.854017i | ||||
\(201\) | −15.0150 | + | 8.52149i | −1.05908 | + | 0.601060i | ||||
\(202\) | 2.31999 | − | 22.0732i | 0.163234 | − | 1.55307i | ||||
\(203\) | −2.77955 | + | 3.08701i | −0.195086 | + | 0.216665i | ||||
\(204\) | −7.43178 | − | 36.2810i | −0.520329 | − | 2.54018i | ||||
\(205\) | 1.12069 | − | 0.498961i | 0.0782721 | − | 0.0348490i | ||||
\(206\) | −17.9671 | + | 13.0538i | −1.25182 | + | 0.909503i | ||||
\(207\) | −6.60631 | − | 11.8436i | −0.459171 | − | 0.823187i | ||||
\(208\) | 3.68076 | 0.255215 | ||||||||
\(209\) | −1.07386 | + | 10.2182i | −0.0742807 | + | 0.706804i | ||||
\(210\) | −0.725557 | − | 1.66261i | −0.0500682 | − | 0.114731i | ||||
\(211\) | 14.6231 | − | 3.10824i | 1.00670 | − | 0.213980i | 0.325077 | − | 0.945688i | \(-0.394610\pi\) |
0.681618 | + | 0.731708i | \(0.261276\pi\) | |||||||
\(212\) | 20.9060 | + | 9.30793i | 1.43583 | + | 0.639271i | ||||
\(213\) | 4.83911 | − | 1.53286i | 0.331571 | − | 0.105030i | ||||
\(214\) | −11.7837 | − | 2.50471i | −0.805520 | − | 0.171219i | ||||
\(215\) | −0.348070 | − | 1.07125i | −0.0237382 | − | 0.0730585i | ||||
\(216\) | −9.81929 | − | 14.1656i | −0.668118 | − | 0.963845i | ||||
\(217\) | −10.9500 | + | 7.95563i | −0.743333 | + | 0.540063i | ||||
\(218\) | 22.5605 | + | 25.0560i | 1.52799 | + | 1.69701i | ||||
\(219\) | −4.36217 | + | 5.91158i | −0.294768 | + | 0.399468i | ||||
\(220\) | −3.60038 | 3.72050e-5i | −0.242738 | 2.50836e-6i | ||||||
\(221\) | 13.1036 | + | 22.6961i | 0.881444 | + | 1.52671i | ||||
\(222\) | −3.40257 | + | 0.332205i | −0.228366 | + | 0.0222961i | ||||
\(223\) | −0.201351 | − | 1.91573i | −0.0134835 | − | 0.128286i | 0.985710 | − | 0.168454i | \(-0.0538775\pi\) |
−0.999193 | + | 0.0401676i | \(0.987211\pi\) | |||||||
\(224\) | −5.26931 | − | 3.82838i | −0.352070 | − | 0.255794i | ||||
\(225\) | −1.32006 | − | 14.6391i | −0.0880039 | − | 0.975940i | ||||
\(226\) | −5.34854 | − | 16.4611i | −0.355779 | − | 1.09498i | ||||
\(227\) | −14.6269 | + | 6.51230i | −0.970819 | + | 0.432236i | −0.829978 | − | 0.557796i | \(-0.811647\pi\) |
−0.140841 | + | 0.990032i | \(0.544980\pi\) | |||||||
\(228\) | −15.9792 | + | 9.06874i | −1.05825 | + | 0.600592i | ||||
\(229\) | 0.511498 | − | 0.108722i | 0.0338007 | − | 0.00718457i | −0.190980 | − | 0.981594i | \(-0.561167\pi\) |
0.224781 | + | 0.974409i | \(0.427833\pi\) | |||||||
\(230\) | −1.66883 | − | 2.89050i | −0.110040 | − | 0.190594i | ||||
\(231\) | 7.73099 | + | 2.57522i | 0.508662 | + | 0.169437i | ||||
\(232\) | −4.85695 | + | 8.41248i | −0.318874 | + | 0.552306i | ||||
\(233\) | −3.16820 | + | 9.75073i | −0.207556 | + | 0.638792i | 0.792043 | + | 0.610466i | \(0.209018\pi\) |
−0.999599 | + | 0.0283260i | \(0.990982\pi\) | |||||||
\(234\) | 23.4667 | + | 17.5856i | 1.53407 | + | 1.14961i | ||||
\(235\) | −1.91099 | − | 1.38842i | −0.124659 | − | 0.0905703i | ||||
\(236\) | 40.4435 | + | 8.59653i | 2.63265 | + | 0.559587i | ||||
\(237\) | −4.38204 | + | 3.88732i | −0.284644 | + | 0.252508i | ||||
\(238\) | −2.15630 | + | 20.5158i | −0.139772 | + | 1.32984i | ||||
\(239\) | −8.80753 | − | 3.92137i | −0.569712 | − | 0.253652i | 0.101602 | − | 0.994825i | \(-0.467603\pi\) |
−0.671314 | + | 0.741173i | \(0.734270\pi\) | |||||||
\(240\) | −0.280160 | − | 0.391665i | −0.0180843 | − | 0.0252819i | ||||
\(241\) | 0.139366 | − | 0.241388i | 0.00897733 | − | 0.0155492i | −0.861502 | − | 0.507754i | \(-0.830476\pi\) |
0.870479 | + | 0.492205i | \(0.163809\pi\) | |||||||
\(242\) | 17.1421 | − | 19.0390i | 1.10193 | − | 1.22387i | ||||
\(243\) | 0.576234 | − | 15.5778i | 0.0369654 | − | 0.999317i | ||||
\(244\) | 4.88900 | − | 15.0468i | 0.312986 | − | 0.963272i | ||||
\(245\) | −0.165286 | − | 1.57259i | −0.0105598 | − | 0.100469i | ||||
\(246\) | −14.8811 | + | 4.71378i | −0.948783 | + | 0.300540i | ||||
\(247\) | 8.69991 | − | 9.66223i | 0.553562 | − | 0.614793i | ||||
\(248\) | −21.1785 | + | 23.5211i | −1.34484 | + | 1.49359i | ||||
\(249\) | 5.02586 | − | 22.8140i | 0.318501 | − | 1.44578i | ||||
\(250\) | −0.764019 | − | 7.26916i | −0.0483208 | − | 0.459742i | ||||
\(251\) | 1.36753 | − | 4.20881i | 0.0863175 | − | 0.265658i | −0.898576 | − | 0.438817i | \(-0.855398\pi\) |
0.984894 | + | 0.173159i | \(0.0553975\pi\) | |||||||
\(252\) | 4.29749 | + | 13.9237i | 0.270717 | + | 0.877111i | ||||
\(253\) | 14.6652 | + | 3.11703i | 0.921993 | + | 0.195966i | ||||
\(254\) | 15.3766 | − | 26.6330i | 0.964813 | − | 1.67111i | ||||
\(255\) | 1.41769 | − | 3.12184i | 0.0887791 | − | 0.195497i | ||||
\(256\) | −19.4009 | − | 8.63785i | −1.21256 | − | 0.539866i | ||||
\(257\) | −0.382002 | + | 3.63450i | −0.0238286 | + | 0.226714i | 0.976126 | + | 0.217204i | \(0.0696938\pi\) |
−0.999955 | + | 0.00950980i | \(0.996973\pi\) | |||||||
\(258\) | 2.87618 | + | 14.0411i | 0.179063 | + | 0.874163i | ||||
\(259\) | 1.17589 | + | 0.249944i | 0.0730665 | + | 0.0155308i | ||||
\(260\) | 3.68598 | + | 2.67802i | 0.228595 | + | 0.166084i | ||||
\(261\) | −8.07777 | + | 3.45423i | −0.500001 | + | 0.213812i | ||||
\(262\) | −5.25413 | + | 16.1705i | −0.324601 | + | 0.999019i | ||||
\(263\) | 7.22621 | − | 12.5162i | 0.445587 | − | 0.771780i | −0.552506 | − | 0.833509i | \(-0.686328\pi\) |
0.998093 | + | 0.0617294i | \(0.0196616\pi\) | |||||||
\(264\) | 18.9356 | + | 2.13170i | 1.16540 | + | 0.131197i | ||||
\(265\) | 1.05933 | + | 1.83481i | 0.0650741 | + | 0.112712i | ||||
\(266\) | 10.0107 | − | 2.12783i | 0.613793 | − | 0.130466i | ||||
\(267\) | 0.0345490 | − | 4.67200i | 0.00211436 | − | 0.285922i | ||||
\(268\) | 31.1811 | − | 13.8827i | 1.90469 | − | 0.848021i | ||||
\(269\) | 0.283600 | + | 0.872830i | 0.0172914 | + | 0.0532174i | 0.959330 | − | 0.282287i | \(-0.0910931\pi\) |
−0.942039 | + | 0.335505i | \(0.891093\pi\) | |||||||
\(270\) | 0.0851038 | − | 3.83558i | 0.00517925 | − | 0.233426i | ||||
\(271\) | 2.13921 | + | 1.55422i | 0.129948 | + | 0.0944124i | 0.650860 | − | 0.759197i | \(-0.274408\pi\) |
−0.520913 | + | 0.853610i | \(0.674408\pi\) | |||||||
\(272\) | 0.572411 | + | 5.44612i | 0.0347075 | + | 0.330220i | ||||
\(273\) | −5.99921 | − | 8.38694i | −0.363089 | − | 0.507600i | ||||
\(274\) | −11.4206 | − | 19.7811i | −0.689947 | − | 1.19502i | ||||
\(275\) | 13.1465 | + | 9.55126i | 0.792761 | + | 0.575962i | ||||
\(276\) | 10.7236 | + | 24.5730i | 0.645484 | + | 1.47912i | ||||
\(277\) | 19.3409 | + | 21.4802i | 1.16208 | + | 1.29062i | 0.949603 | + | 0.313456i | \(0.101487\pi\) |
0.212478 | + | 0.977166i | \(0.431847\pi\) | |||||||
\(278\) | 17.8564 | − | 12.9734i | 1.07095 | − | 0.778094i | ||||
\(279\) | −28.0847 | + | 5.53679i | −1.68139 | + | 0.331479i | ||||
\(280\) | 0.460948 | + | 1.41865i | 0.0275469 | + | 0.0847807i | ||||
\(281\) | −8.55152 | − | 1.81768i | −0.510141 | − | 0.108434i | −0.0543523 | − | 0.998522i | \(-0.517309\pi\) |
−0.455789 | + | 0.890088i | \(0.650643\pi\) | |||||||
\(282\) | 22.1873 | + | 20.2767i | 1.32124 | + | 1.20746i | ||||
\(283\) | −21.2100 | − | 9.44331i | −1.26081 | − | 0.561347i | −0.336027 | − | 0.941852i | \(-0.609083\pi\) |
−0.924778 | + | 0.380506i | \(0.875750\pi\) | |||||||
\(284\) | −9.81609 | + | 2.08647i | −0.582478 | + | 0.123809i | ||||
\(285\) | −1.69034 | − | 0.190309i | −0.100127 | − | 0.0112730i | ||||
\(286\) | −31.7112 | + | 6.74076i | −1.87512 | + | 0.398590i | ||||
\(287\) | 5.48901 | 0.324006 | ||||||||
\(288\) | −6.71030 | − | 12.0300i | −0.395408 | − | 0.708875i | ||||
\(289\) | −17.7905 | + | 12.9255i | −1.04650 | + | 0.760326i | ||||
\(290\) | −1.97526 | + | 0.879441i | −0.115991 | + | 0.0516426i | ||||
\(291\) | −6.81207 | + | 6.04300i | −0.399330 | + | 0.354247i | ||||
\(292\) | 9.71881 | − | 10.7938i | 0.568751 | − | 0.631662i | ||||
\(293\) | 2.19253 | − | 20.8605i | 0.128089 | − | 1.21868i | −0.721944 | − | 0.691952i | \(-0.756751\pi\) |
0.850032 | − | 0.526731i | \(-0.176582\pi\) | |||||||
\(294\) | −0.148788 | + | 20.1203i | −0.00867748 | + | 1.17344i | ||||
\(295\) | 2.56139 | + | 2.84472i | 0.149130 | + | 0.165626i | ||||
\(296\) | 2.81121 | 0.163398 | ||||||||
\(297\) | 12.5483 | + | 11.8127i | 0.728126 | + | 0.685443i | ||||
\(298\) | −9.61284 | −0.556857 | ||||||||
\(299\) | −12.6952 | − | 14.0995i | −0.734183 | − | 0.815393i | ||||
\(300\) | −0.214881 | + | 29.0580i | −0.0124062 | + | 1.67767i | ||||
\(301\) | 0.526816 | − | 5.01232i | 0.0303652 | − | 0.288905i | ||||
\(302\) | −27.7011 | + | 30.7652i | −1.59402 | + | 1.77034i | ||||
\(303\) | −12.3477 | + | 10.9537i | −0.709356 | + | 0.629272i | ||||
\(304\) | 2.48191 | − | 1.10502i | 0.142347 | − | 0.0633772i | ||||
\(305\) | 1.18499 | − | 0.860949i | 0.0678526 | − | 0.0492978i | ||||
\(306\) | −22.3706 | + | 37.4565i | −1.27884 | + | 2.14125i | ||||
\(307\) | 23.1324 | 1.32024 | 0.660118 | − | 0.751162i | \(-0.270506\pi\) | ||||
0.660118 | + | 0.751162i | \(0.270506\pi\) | |||||||
\(308\) | −14.7171 | − | 6.55228i | −0.838582 | − | 0.373351i | ||||
\(309\) | 16.4125 | + | 1.84783i | 0.933675 | + | 0.105119i | ||||
\(310\) | −6.89111 | + | 1.46475i | −0.391389 | + | 0.0831923i | ||||
\(311\) | 18.6499 | + | 8.30346i | 1.05754 | + | 0.470846i | 0.860447 | − | 0.509540i | \(-0.170184\pi\) |
0.197090 | + | 0.980385i | \(0.436851\pi\) | |||||||
\(312\) | −17.8000 | − | 16.2671i | −1.00773 | − | 0.920945i | ||||
\(313\) | 33.2955 | + | 7.07718i | 1.88197 | + | 0.400026i | 0.997750 | − | 0.0670406i | \(-0.0213557\pi\) |
0.884222 | + | 0.467066i | \(0.154689\pi\) | |||||||
\(314\) | −1.45182 | − | 4.46825i | −0.0819311 | − | 0.252158i | ||||
\(315\) | −0.435815 | + | 1.27674i | −0.0245554 | + | 0.0719360i | ||||
\(316\) | 9.36904 | − | 6.80701i | 0.527050 | − | 0.382924i | ||||
\(317\) | −18.3478 | − | 20.3773i | −1.03052 | − | 1.14451i | −0.989380 | − | 0.145352i | \(-0.953569\pi\) |
−0.0411371 | − | 0.999154i | \(-0.513098\pi\) | |||||||
\(318\) | −10.7828 | − | 24.7087i | −0.604670 | − | 1.38560i | ||||
\(319\) | 3.00125 | − | 9.23722i | 0.168038 | − | 0.517185i | ||||
\(320\) | −1.97312 | − | 3.41755i | −0.110301 | − | 0.191047i | ||||
\(321\) | 5.21235 | + | 7.28689i | 0.290925 | + | 0.406715i | ||||
\(322\) | −1.56105 | − | 14.8524i | −0.0869941 | − | 0.827694i | ||||
\(323\) | 15.6494 | + | 11.3699i | 0.870754 | + | 0.632640i | ||||
\(324\) | −4.12643 | + | 30.5408i | −0.229246 | + | 1.69671i | ||||
\(325\) | −6.35443 | − | 19.5569i | −0.352480 | − | 1.08482i | ||||
\(326\) | −3.36258 | + | 1.49712i | −0.186236 | + | 0.0829176i | ||||
\(327\) | 0.185417 | − | 25.0736i | 0.0102536 | − | 1.38658i | ||||
\(328\) | 12.5553 | − | 2.66872i | 0.693252 | − | 0.147355i | ||||
\(329\) | −5.28459 | − | 9.15318i | −0.291349 | − | 0.504631i | ||||
\(330\) | 3.13096 | + | 2.86128i | 0.172354 | + | 0.157508i | ||||
\(331\) | 8.98622 | − | 15.5646i | 0.493927 | − | 0.855507i | −0.506048 | − | 0.862505i | \(-0.668894\pi\) |
0.999976 | + | 0.00699827i | \(0.00222764\pi\) | |||||||
\(332\) | −14.2718 | + | 43.9241i | −0.783266 | + | 2.41065i | ||||
\(333\) | 2.03459 | + | 1.52469i | 0.111495 | + | 0.0835525i | ||||
\(334\) | −28.8690 | − | 20.9746i | −1.57964 | − | 1.14768i | ||||
\(335\) | 3.09091 | + | 0.656993i | 0.168874 | + | 0.0358954i | ||||
\(336\) | −0.432386 | − | 2.11085i | −0.0235886 | − | 0.115156i | ||||
\(337\) | −1.14690 | + | 10.9120i | −0.0624757 | + | 0.594417i | 0.917836 | + | 0.396960i | \(0.129935\pi\) |
−0.980312 | + | 0.197457i | \(0.936732\pi\) | |||||||
\(338\) | 9.81935 | + | 4.37186i | 0.534102 | + | 0.237798i | ||||
\(339\) | −5.32229 | + | 11.7201i | −0.289067 | + | 0.636546i | ||||
\(340\) | −3.38922 | + | 5.87031i | −0.183806 | + | 0.318362i | ||||
\(341\) | 15.8229 | − | 27.4068i | 0.856860 | − | 1.48416i | ||||
\(342\) | 21.1029 | + | 4.81281i | 1.14111 | + | 0.260247i | ||||
\(343\) | 5.25475 | − | 16.1724i | 0.283730 | − | 0.873230i | ||||
\(344\) | −1.23194 | − | 11.7211i | −0.0664215 | − | 0.631959i | ||||
\(345\) | −0.534014 | + | 2.42406i | −0.0287504 | + | 0.130507i | ||||
\(346\) | −1.53665 | + | 1.70662i | −0.0826108 | + | 0.0917486i | ||||
\(347\) | 14.7870 | − | 16.4226i | 0.793807 | − | 0.881612i | −0.201389 | − | 0.979511i | \(-0.564546\pi\) |
0.995196 | + | 0.0978989i | \(0.0312122\pi\) | |||||||
\(348\) | 16.5577 | − | 5.24488i | 0.887586 | − | 0.281155i | ||||
\(349\) | 1.92371 | + | 18.3029i | 0.102974 | + | 0.979732i | 0.916996 | + | 0.398897i | \(0.130607\pi\) |
−0.814022 | + | 0.580835i | \(0.802726\pi\) | |||||||
\(350\) | 5.00185 | − | 15.3941i | 0.267360 | − | 0.822850i | ||||
\(351\) | −4.05992 | − | 21.4272i | −0.216703 | − | 1.14370i | ||||
\(352\) | 14.8960 | + | 3.16609i | 0.793961 | + | 0.168753i | ||||
\(353\) | −16.5354 | + | 28.6401i | −0.880089 | + | 1.52436i | −0.0288486 | + | 0.999584i | \(0.509184\pi\) |
−0.851241 | + | 0.524776i | \(0.824149\pi\) | |||||||
\(354\) | −28.3383 | − | 39.6171i | −1.50616 | − | 2.10562i | ||||
\(355\) | −0.848761 | − | 0.377893i | −0.0450475 | − | 0.0200565i | ||||
\(356\) | −0.965504 | + | 9.18616i | −0.0511716 | + | 0.486865i | ||||
\(357\) | 11.4765 | − | 10.1808i | 0.607401 | − | 0.538827i | ||||
\(358\) | 25.5736 | + | 5.43583i | 1.35161 | + | 0.287293i | ||||
\(359\) | −2.42595 | − | 1.76256i | −0.128037 | − | 0.0930242i | 0.521924 | − | 0.852992i | \(-0.325215\pi\) |
−0.649960 | + | 0.759968i | \(0.725215\pi\) | |||||||
\(360\) | −0.376124 | + | 3.13224i | −0.0198235 | + | 0.165084i | ||||
\(361\) | −2.90578 | + | 8.94306i | −0.152936 | + | 0.470687i | ||||
\(362\) | −20.8744 | + | 36.1555i | −1.09713 | + | 1.90029i | ||||
\(363\) | −18.9624 | + | 1.85176i | −0.995266 | + | 0.0971920i | ||||
\(364\) | 10.1931 | + | 17.6549i | 0.534262 | + | 0.925370i | ||||
\(365\) | 1.31531 | − | 0.279578i | 0.0688464 | − | 0.0146338i | ||||
\(366\) | −16.2096 | + | 9.19945i | −0.847288 | + | 0.480863i | ||||
\(367\) | 1.51873 | − | 0.676183i | 0.0792772 | − | 0.0352965i | −0.366715 | − | 0.930333i | \(-0.619518\pi\) |
0.445992 | + | 0.895037i | \(0.352851\pi\) | |||||||
\(368\) | −1.22508 | − | 3.77040i | −0.0638616 | − | 0.196546i | ||||
\(369\) | 10.5342 | + | 4.87806i | 0.548389 | + | 0.253942i | ||||
\(370\) | 0.506234 | + | 0.367800i | 0.0263178 | + | 0.0191210i | ||||
\(371\) | 0.990914 | + | 9.42791i | 0.0514457 | + | 0.489473i | ||||
\(372\) | 56.3242 | − | 5.49912i | 2.92027 | − | 0.285116i | ||||
\(373\) | 10.7543 | + | 18.6271i | 0.556839 | + | 0.964473i | 0.997758 | + | 0.0669259i | \(0.0213191\pi\) |
−0.440919 | + | 0.897547i | \(0.645348\pi\) | |||||||
\(374\) | −14.9053 | − | 45.8721i | −0.770734 | − | 2.37199i | ||||
\(375\) | −3.22749 | + | 4.37388i | −0.166667 | + | 0.225866i | ||||
\(376\) | −16.5380 | − | 18.3673i | −0.852880 | − | 0.947219i | ||||
\(377\) | −9.94346 | + | 7.22435i | −0.512114 | + | 0.372073i | ||||
\(378\) | 7.32835 | − | 15.5235i | 0.376930 | − | 0.798444i | ||||
\(379\) | 3.83779 | + | 11.8115i | 0.197134 | + | 0.606715i | 0.999945 | + | 0.0104822i | \(0.00333665\pi\) |
−0.802811 | + | 0.596233i | \(0.796663\pi\) | |||||||
\(380\) | 3.28941 | + | 0.699185i | 0.168743 | + | 0.0358674i | ||||
\(381\) | −21.8031 | + | 6.90642i | −1.11700 | + | 0.353827i | ||||
\(382\) | 27.4210 | + | 12.2086i | 1.40298 | + | 0.624648i | ||||
\(383\) | −0.782202 | + | 0.166262i | −0.0399686 | + | 0.00849560i | −0.227853 | − | 0.973696i | \(-0.573170\pi\) |
0.187884 | + | 0.982191i | \(0.439837\pi\) | |||||||
\(384\) | 13.7224 | + | 31.4447i | 0.700266 | + | 1.60465i | ||||
\(385\) | −0.745741 | − | 1.29163i | −0.0380065 | − | 0.0658275i | ||||
\(386\) | −53.9188 | −2.74439 | ||||||||
\(387\) | 5.46546 | − | 9.15118i | 0.277825 | − | 0.465181i | ||||
\(388\) | 14.5646 | − | 10.5818i | 0.739404 | − | 0.537209i | ||||
\(389\) | −1.58654 | + | 0.706374i | −0.0804408 | + | 0.0358146i | −0.446563 | − | 0.894752i | \(-0.647352\pi\) |
0.366122 | + | 0.930567i | \(0.380685\pi\) | |||||||
\(390\) | −1.07708 | − | 5.25817i | −0.0545401 | − | 0.266258i | ||||
\(391\) | 18.8875 | − | 20.9767i | 0.955184 | − | 1.06084i | ||||
\(392\) | 1.72945 | − | 16.4546i | 0.0873502 | − | 0.831081i | ||||
\(393\) | 10.9971 | − | 6.24121i | 0.554730 | − | 0.314827i | ||||
\(394\) | 1.67943 | + | 1.86520i | 0.0846086 | + | 0.0939673i | ||||
\(395\) | 1.07216 | 0.0539461 | ||||||||
\(396\) | −22.4212 | − | 25.6537i | −1.12671 | − | 1.28915i | ||||
\(397\) | −24.7599 | −1.24267 | −0.621333 | − | 0.783547i | \(-0.713409\pi\) | ||||
−0.621333 | + | 0.783547i | \(0.713409\pi\) | |||||||
\(398\) | 25.6057 | + | 28.4380i | 1.28350 | + | 1.42547i | ||||
\(399\) | −6.56311 | − | 3.85420i | −0.328566 | − | 0.192951i | ||||
\(400\) | 0.449140 | − | 4.27328i | 0.0224570 | − | 0.213664i | ||||
\(401\) | 14.6221 | − | 16.2395i | 0.730191 | − | 0.810960i | −0.257681 | − | 0.966230i | \(-0.582958\pi\) |
0.987872 | + | 0.155271i | \(0.0496249\pi\) | |||||||
\(402\) | −38.1483 | − | 12.7078i | −1.90267 | − | 0.633806i | ||||
\(403\) | −36.5849 | + | 16.2886i | −1.82242 | + | 0.811395i | ||||
\(404\) | 26.4000 | − | 19.1807i | 1.31345 | − | 0.954278i | ||||
\(405\) | −1.97102 | + | 2.06294i | −0.0979409 | + | 0.102508i | ||||
\(406\) | −9.67462 | −0.480143 | ||||||||
\(407\) | −2.74939 | + | 0.584431i | −0.136282 | + | 0.0289692i | ||||
\(408\) | 21.3010 | − | 28.8670i | 1.05456 | − | 1.42913i | ||||
\(409\) | −7.85919 | + | 1.67052i | −0.388612 | + | 0.0826020i | −0.398074 | − | 0.917353i | \(-0.630321\pi\) |
0.00946221 | + | 0.999955i | \(0.496988\pi\) | |||||||
\(410\) | 2.61008 | + | 1.16208i | 0.128903 | + | 0.0573911i | ||||
\(411\) | −3.65452 | + | 16.5890i | −0.180264 | + | 0.818276i | ||||
\(412\) | −31.9389 | − | 6.78881i | −1.57351 | − | 0.334461i | ||||
\(413\) | 5.29283 | + | 16.2897i | 0.260443 | + | 0.801562i | ||||
\(414\) | 10.2034 | − | 29.8913i | 0.501470 | − | 1.46907i | ||||
\(415\) | −3.45919 | + | 2.51325i | −0.169805 | + | 0.123371i | ||||
\(416\) | −12.8950 | − | 14.3214i | −0.632231 | − | 0.702164i | ||||
\(417\) | −16.3114 | − | 1.83645i | −0.798773 | − | 0.0899312i | ||||
\(418\) | −19.3590 | + | 14.0654i | −0.946877 | + | 0.687962i | ||||
\(419\) | 2.79840 | + | 4.84698i | 0.136711 | + | 0.236790i | 0.926250 | − | 0.376910i | \(-0.123014\pi\) |
−0.789539 | + | 0.613701i | \(0.789680\pi\) | |||||||
\(420\) | 1.10280 | − | 2.42843i | 0.0538109 | − | 0.118495i | ||||
\(421\) | −3.95686 | − | 37.6470i | −0.192846 | − | 1.83480i | −0.480413 | − | 0.877043i | \(-0.659513\pi\) |
0.287567 | − | 0.957760i | \(-0.407154\pi\) | |||||||
\(422\) | 28.1684 | + | 20.4656i | 1.37122 | + | 0.996248i | ||||
\(423\) | −2.00750 | − | 22.2627i | −0.0976081 | − | 1.08245i | ||||
\(424\) | 6.85035 | + | 21.0832i | 0.332682 | + | 1.02389i | ||||
\(425\) | 27.9486 | − | 12.4435i | 1.35571 | − | 0.603599i | ||||
\(426\) | 10.1944 | + | 5.98666i | 0.493918 | + | 0.290055i | ||||
\(427\) | 6.41067 | − | 1.36263i | 0.310234 | − | 0.0659423i | ||||
\(428\) | −8.85614 | − | 15.3393i | −0.428078 | − | 0.741452i | ||||
\(429\) | 20.7904 | + | 12.2089i | 1.00377 | + | 0.589453i | ||||
\(430\) | 1.31167 | − | 2.27187i | 0.0632542 | − | 0.109560i | ||||
\(431\) | −9.20389 | + | 28.3267i | −0.443336 | + | 1.36445i | 0.440963 | + | 0.897525i | \(0.354637\pi\) |
−0.884299 | + | 0.466922i | \(0.845363\pi\) | |||||||
\(432\) | 1.04609 | − | 4.43528i | 0.0503301 | − | 0.213393i | ||||
\(433\) | 0.225935 | + | 0.164152i | 0.0108578 | + | 0.00788862i | 0.593201 | − | 0.805054i | \(-0.297864\pi\) |
−0.582343 | + | 0.812943i | \(0.697864\pi\) | |||||||
\(434\) | −30.8340 | − | 6.55397i | −1.48008 | − | 0.314601i | ||||
\(435\) | 1.52558 | + | 0.508192i | 0.0731458 | + | 0.0243660i | ||||
\(436\) | −5.18166 | + | 49.3002i | −0.248156 | + | 2.36105i | ||||
\(437\) | −12.7932 | − | 5.69588i | −0.611980 | − | 0.272471i | ||||
\(438\) | −17.0297 | + | 1.66267i | −0.813711 | + | 0.0794454i | ||||
\(439\) | −7.49827 | + | 12.9874i | −0.357873 | + | 0.619854i | −0.987605 | − | 0.156958i | \(-0.949831\pi\) |
0.629732 | + | 0.776812i | \(0.283165\pi\) | |||||||
\(440\) | −2.33375 | − | 2.59184i | −0.111257 | − | 0.123561i | ||||
\(441\) | 10.1760 | − | 10.9709i | 0.484571 | − | 0.522422i | ||||
\(442\) | −18.8614 | + | 58.0493i | −0.897143 | + | 2.76112i | ||||
\(443\) | −1.51564 | − | 14.4204i | −0.0720104 | − | 0.685133i | −0.969666 | − | 0.244435i | \(-0.921398\pi\) |
0.897655 | − | 0.440698i | \(-0.145269\pi\) | |||||||
\(444\) | −3.71042 | − | 3.39089i | −0.176089 | − | 0.160925i | ||||
\(445\) | −0.572205 | + | 0.635498i | −0.0271251 | + | 0.0301255i | ||||
\(446\) | 3.00192 | − | 3.33397i | 0.142145 | − | 0.157868i | ||||
\(447\) | 5.27719 | + | 4.82274i | 0.249602 | + | 0.228108i | ||||
\(448\) | −1.84569 | − | 17.5606i | −0.0872008 | − | 0.829660i | ||||
\(449\) | −6.55787 | + | 20.1830i | −0.309485 | + | 0.952497i | 0.668481 | + | 0.743730i | \(0.266945\pi\) |
−0.977965 | + | 0.208767i | \(0.933055\pi\) | |||||||
\(450\) | 23.2800 | − | 25.0984i | 1.09743 | − | 1.18315i | ||||
\(451\) | −11.7244 | + | 5.22020i | −0.552082 | + | 0.245809i | ||||
\(452\) | 12.7238 | − | 22.0383i | 0.598479 | − | 1.03660i | ||||
\(453\) | 30.6420 | − | 2.99168i | 1.43968 | − | 0.140561i | ||||
\(454\) | −34.0660 | − | 15.1672i | −1.59880 | − | 0.711830i | ||||
\(455\) | −0.197284 | + | 1.87703i | −0.00924880 | + | 0.0879964i | ||||
\(456\) | −16.8860 | − | 5.62499i | −0.790761 | − | 0.263414i | ||||
\(457\) | 3.13937 | + | 0.667293i | 0.146853 | + | 0.0312146i | 0.280752 | − | 0.959780i | \(-0.409416\pi\) |
−0.133898 | + | 0.990995i | \(0.542750\pi\) | |||||||
\(458\) | 0.985297 | + | 0.715860i | 0.0460399 | + | 0.0334499i | ||||
\(459\) | 31.0727 | − | 9.33936i | 1.45035 | − | 0.435924i | ||||
\(460\) | 1.51642 | − | 4.66707i | 0.0707037 | − | 0.217603i | ||||
\(461\) | −13.1628 | + | 22.7986i | −0.613052 | + | 1.06184i | 0.377671 | + | 0.925940i | \(0.376725\pi\) |
−0.990723 | + | 0.135897i | \(0.956608\pi\) | |||||||
\(462\) | 7.59087 | + | 17.3939i | 0.353159 | + | 0.809239i | ||||
\(463\) | −1.81412 | − | 3.14215i | −0.0843093 | − | 0.146028i | 0.820787 | − | 0.571234i | \(-0.193535\pi\) |
−0.905097 | + | 0.425206i | \(0.860202\pi\) | |||||||
\(464\) | −2.51210 | + | 0.533963i | −0.116621 | + | 0.0247886i | ||||
\(465\) | 4.51790 | + | 2.65315i | 0.209512 | + | 0.123037i | ||||
\(466\) | −21.8138 | + | 9.71212i | −1.01050 | + | 0.449905i | ||||
\(467\) | −5.71532 | − | 17.5899i | −0.264473 | − | 0.813965i | −0.991814 | − | 0.127689i | \(-0.959244\pi\) |
0.727341 | − | 0.686276i | \(-0.240756\pi\) | |||||||
\(468\) | 3.87213 | + | 42.9409i | 0.178989 | + | 1.98494i | ||||
\(469\) | 11.4388 | + | 8.31077i | 0.528194 | + | 0.383756i | ||||
\(470\) | −0.575050 | − | 5.47123i | −0.0265251 | − | 0.252369i | ||||
\(471\) | −1.44470 | + | 3.18133i | −0.0665682 | + | 0.146588i | ||||
\(472\) | 20.0265 | + | 34.6869i | 0.921795 | + | 1.59660i | ||||
\(473\) | 3.64158 | + | 11.2072i | 0.167440 | + | 0.515309i | ||||
\(474\) | −13.5571 | − | 1.52635i | −0.622699 | − | 0.0701076i | ||||
\(475\) | −10.1560 | − | 11.2794i | −0.465990 | − | 0.517535i | ||||
\(476\) | −24.5374 | + | 17.8275i | −1.12467 | + | 0.817120i | ||||
\(477\) | −6.47684 | + | 18.9741i | −0.296554 | + | 0.868766i | ||||
\(478\) | −6.93867 | − | 21.3550i | −0.317367 | − | 0.976756i | ||||
\(479\) | 0.153567 | + | 0.0326418i | 0.00701668 | + | 0.00149144i | 0.211419 | − | 0.977396i | \(-0.432192\pi\) |
−0.204402 | + | 0.978887i | \(0.565525\pi\) | |||||||
\(480\) | −0.542420 | + | 2.46221i | −0.0247580 | + | 0.112384i | ||||
\(481\) | 3.24945 | + | 1.44675i | 0.148162 | + | 0.0659660i | ||||
\(482\) | 0.634980 | − | 0.134969i | 0.0289225 | − | 0.00614767i | ||||
\(483\) | −6.59445 | + | 8.93676i | −0.300058 | + | 0.406637i | ||||
\(484\) | 37.6668 | 0.000778469i | 1.71213 | 3.53850e-5i | ||||||
\(485\) | 1.66671 | 0.0756816 | ||||||||
\(486\) | 27.8598 | − | 23.2792i | 1.26375 | − | 1.05597i | ||||
\(487\) | −14.5028 | + | 10.5369i | −0.657187 | + | 0.477474i | −0.865712 | − | 0.500543i | \(-0.833134\pi\) |
0.208525 | + | 0.978017i | \(0.433134\pi\) | |||||||
\(488\) | 14.0010 | − | 6.23364i | 0.633795 | − | 0.282184i | ||||
\(489\) | 2.59706 | + | 0.865121i | 0.117443 | + | 0.0391221i | ||||
\(490\) | 2.46424 | − | 2.73682i | 0.111323 | − | 0.123637i | ||||
\(491\) | 0.694902 | − | 6.61155i | 0.0313605 | − | 0.298375i | −0.967588 | − | 0.252533i | \(-0.918736\pi\) |
0.998949 | − | 0.0458419i | \(-0.0145971\pi\) | |||||||
\(492\) | −19.7904 | − | 11.6219i | −0.892219 | − | 0.523958i | ||||
\(493\) | −12.2356 | − | 13.5890i | −0.551065 | − | 0.612019i | ||||
\(494\) | 30.2813 | 1.36242 | ||||||||
\(495\) | −0.283318 | − | 3.14156i | −0.0127342 | − | 0.141203i | ||||
\(496\) | −8.36804 | −0.375736 | ||||||||
\(497\) | −2.78168 | − | 3.08936i | −0.124775 | − | 0.138577i | ||||
\(498\) | 47.3184 | − | 26.8547i | 2.12039 | − | 1.20339i | ||||
\(499\) | −3.54846 | + | 33.7614i | −0.158851 | + | 1.51137i | 0.567117 | + | 0.823638i | \(0.308059\pi\) |
−0.725968 | + | 0.687729i | \(0.758608\pi\) | |||||||
\(500\) | 7.19078 | − | 7.98617i | 0.321582 | − | 0.357153i | ||||
\(501\) | 5.32543 | + | 25.9980i | 0.237922 | + | 1.16151i | ||||
\(502\) | 9.41572 | − | 4.19215i | 0.420244 | − | 0.187105i | ||||
\(503\) | −2.53812 | + | 1.84405i | −0.113169 | + | 0.0822222i | −0.642930 | − | 0.765925i | \(-0.722282\pi\) |
0.529761 | + | 0.848147i | \(0.322282\pi\) | |||||||
\(504\) | −7.23790 | + | 12.1189i | −0.322402 | + | 0.539819i | ||||
\(505\) | 3.02112 | 0.134438 | ||||||||
\(506\) | 17.4594 | + | 30.2399i | 0.776167 | + | 1.34433i | ||||
\(507\) | −3.19721 | − | 7.32638i | −0.141993 | − | 0.325376i | ||||
\(508\) | 44.2273 | − | 9.40080i | 1.96227 | − | 0.417093i | ||||
\(509\) | 20.8320 | + | 9.27502i | 0.923364 | + | 0.411108i | 0.812655 | − | 0.582745i | \(-0.198021\pi\) |
0.110709 | + | 0.993853i | \(0.464688\pi\) | |||||||
\(510\) | 7.61258 | − | 2.41139i | 0.337091 | − | 0.106778i | ||||
\(511\) | 5.88530 | + | 1.25096i | 0.260350 | + | 0.0553391i | ||||
\(512\) | −3.04225 | − | 9.36310i | −0.134450 | − | 0.413794i | ||||
\(513\) | −9.17033 | − | 13.2294i | −0.404880 | − | 0.584091i | ||||
\(514\) | −6.88586 | + | 5.00287i | −0.303722 | + | 0.220667i | ||||
\(515\) | −2.02277 | − | 2.24652i | −0.0891340 | − | 0.0989933i | ||||
\(516\) | −12.5120 | + | 16.9562i | −0.550812 | + | 0.746457i | ||||
\(517\) | 19.9927 | + | 14.5252i | 0.879279 | + | 0.638819i | ||||
\(518\) | 1.39992 | + | 2.42474i | 0.0615090 | + | 0.106537i | ||||
\(519\) | 1.69979 | − | 0.165956i | 0.0746124 | − | 0.00728467i | ||||
\(520\) | 0.461339 | + | 4.38935i | 0.0202311 | + | 0.192486i | ||||
\(521\) | −4.26200 | − | 3.09653i | −0.186722 | − | 0.135661i | 0.490497 | − | 0.871443i | \(-0.336815\pi\) |
−0.677219 | + | 0.735781i | \(0.736815\pi\) | |||||||
\(522\) | −18.5670 | − | 8.59779i | −0.812655 | − | 0.376315i | ||||
\(523\) | 3.67595 | + | 11.3134i | 0.160738 | + | 0.494701i | 0.998697 | − | 0.0510325i | \(-0.0162512\pi\) |
−0.837959 | + | 0.545733i | \(0.816251\pi\) | |||||||
\(524\) | −22.8373 | + | 10.1678i | −0.997651 | + | 0.444183i | ||||
\(525\) | −10.4691 | + | 5.94154i | −0.456908 | + | 0.259310i | ||||
\(526\) | 32.9242 | − | 6.99825i | 1.43556 | − | 0.305138i | ||||
\(527\) | −29.7904 | − | 51.5985i | −1.29769 | − | 2.24767i | ||||
\(528\) | 2.93104 | + | 4.09753i | 0.127557 | + | 0.178322i | ||||
\(529\) | 1.28255 | − | 2.22144i | 0.0557629 | − | 0.0965843i | ||||
\(530\) | −1.52480 | + | 4.69285i | −0.0662331 | + | 0.203845i | ||||
\(531\) | −4.31884 | + | 35.9659i | −0.187422 | + | 1.56079i | ||||
\(532\) | 12.1734 | + | 8.84448i | 0.527783 | + | 0.383457i | ||||
\(533\) | 15.8860 | + | 3.37667i | 0.688099 | + | 0.146260i | ||||
\(534\) | 8.14007 | − | 7.22108i | 0.352255 | − | 0.312487i | ||||
\(535\) | 0.171408 | − | 1.63083i | 0.00741060 | − | 0.0705071i | ||||
\(536\) | 30.2052 | + | 13.4482i | 1.30467 | + | 0.580875i | ||||
\(537\) | −11.3121 | − | 15.8143i | −0.488151 | − | 0.682439i | ||||
\(538\) | −1.06872 | + | 1.85108i | −0.0460757 | + | 0.0798055i | ||||
\(539\) | 1.72938 | + | 16.4523i | 0.0744895 | + | 0.708650i | ||||
\(540\) | 4.27456 | − | 3.68046i | 0.183948 | − | 0.158382i | ||||
\(541\) | 12.5401 | − | 38.5945i | 0.539142 | − | 1.65931i | −0.195383 | − | 0.980727i | \(-0.562595\pi\) |
0.734525 | − | 0.678581i | \(-0.237405\pi\) | |||||||
\(542\) | 0.643724 | + | 6.12462i | 0.0276503 | + | 0.263075i | ||||
\(543\) | 29.5986 | − | 9.37577i | 1.27020 | − | 0.402353i | ||||
\(544\) | 19.1848 | − | 21.3069i | 0.822542 | − | 0.913526i | ||||
\(545\) | −3.07090 | + | 3.41058i | −0.131543 | + | 0.146093i | ||||
\(546\) | 5.16678 | − | 23.4536i | 0.221118 | − | 1.00372i | ||||
\(547\) | −2.46000 | − | 23.4054i | −0.105182 | − | 1.00074i | −0.912069 | − | 0.410036i | \(-0.865516\pi\) |
0.806887 | − | 0.590706i | \(-0.201151\pi\) | |||||||
\(548\) | 10.3776 | − | 31.9391i | 0.443311 | − | 1.36437i | ||||
\(549\) | 13.5140 | + | 3.08205i | 0.576762 | + | 0.131539i | ||||
\(550\) | 3.95635 | + | 37.6384i | 0.168699 | + | 1.60491i | ||||
\(551\) | −4.53595 | + | 7.85650i | −0.193238 | + | 0.334698i | ||||
\(552\) | −10.7389 | + | 23.6477i | −0.457077 | + | 1.00651i | ||||
\(553\) | 4.38257 | + | 1.95125i | 0.186366 | + | 0.0829755i | ||||
\(554\) | −7.03671 | + | 66.9498i | −0.298961 | + | 2.84443i | ||||
\(555\) | −0.0933841 | − | 0.455889i | −0.00396393 | − | 0.0193514i | ||||
\(556\) | 31.7421 | + | 6.74700i | 1.34617 | + | 0.286136i | ||||
\(557\) | 5.08590 | + | 3.69513i | 0.215497 | + | 0.156568i | 0.690297 | − | 0.723526i | \(-0.257480\pi\) |
−0.474800 | + | 0.880093i | \(0.657480\pi\) | |||||||
\(558\) | −53.3504 | − | 39.9800i | −2.25850 | − | 1.69249i | ||||
\(559\) | 4.60811 | − | 14.1823i | 0.194902 | − | 0.599847i | ||||
\(560\) | −0.197187 | + | 0.341538i | −0.00833268 | + | 0.0144326i | ||||
\(561\) | −14.8313 | + | 32.6605i | −0.626180 | + | 1.37893i | ||||
\(562\) | −10.1807 | − | 17.6335i | −0.429448 | − | 0.743826i | ||||
\(563\) | 16.5956 | − | 3.52751i | 0.699423 | − | 0.148667i | 0.155542 | − | 0.987829i | \(-0.450288\pi\) |
0.543881 | + | 0.839162i | \(0.316954\pi\) | |||||||
\(564\) | −0.326785 | + | 44.1905i | −0.0137601 | + | 1.86076i | ||||
\(565\) | 2.15228 | − | 0.958259i | 0.0905473 | − | 0.0403142i | ||||
\(566\) | −16.7095 | − | 51.4265i | −0.702352 | − | 2.16162i | ||||
\(567\) | −11.8112 | + | 4.84538i | −0.496023 | + | 0.203487i | ||||
\(568\) | −7.86471 | − | 5.71404i | −0.329996 | − | 0.239756i | ||||
\(569\) | −2.32581 | − | 22.1286i | −0.0975031 | − | 0.927680i | −0.928482 | − | 0.371376i | \(-0.878886\pi\) |
0.830979 | − | 0.556303i | \(-0.187781\pi\) | |||||||
\(570\) | −2.30485 | − | 3.22219i | −0.0965394 | − | 0.134963i | ||||
\(571\) | −17.6576 | − | 30.5838i | −0.738947 | − | 1.27989i | −0.952970 | − | 0.303065i | \(-0.901990\pi\) |
0.214023 | − | 0.976829i | \(-0.431343\pi\) | |||||||
\(572\) | −38.5625 | − | 28.0167i | −1.61238 | − | 1.17144i | ||||
\(573\) | −8.92836 | − | 20.4593i | −0.372988 | − | 0.854698i | ||||
\(574\) | 8.55411 | + | 9.50030i | 0.357042 | + | 0.396535i | ||||
\(575\) | −17.9182 | + | 13.0184i | −0.747243 | + | 0.542904i | ||||
\(576\) | 12.0639 | − | 35.3416i | 0.502661 | − | 1.47256i | ||||
\(577\) | −11.8156 | − | 36.3646i | −0.491889 | − | 1.51388i | −0.821749 | − | 0.569850i | \(-0.807001\pi\) |
0.329859 | − | 0.944030i | \(-0.392999\pi\) | |||||||
\(578\) | −50.0962 | − | 10.6483i | −2.08373 | − | 0.442910i | ||||
\(579\) | 29.6000 | + | 27.0509i | 1.23013 | + | 1.12420i | ||||
\(580\) | −2.90415 | − | 1.29301i | −0.120588 | − | 0.0536894i | ||||
\(581\) | −18.7138 | + | 3.97774i | −0.776379 | + | 0.165025i | ||||
\(582\) | −21.0751 | − | 2.37278i | −0.873592 | − | 0.0983547i | ||||
\(583\) | −11.0828 | − | 19.1955i | −0.459001 | − | 0.794995i | ||||
\(584\) | 14.0700 | 0.582219 | ||||||||
\(585\) | −2.04672 | + | 3.42696i | −0.0846215 | + | 0.141687i | ||||
\(586\) | 39.5219 | − | 28.7143i | 1.63263 | − | 1.18618i | ||||
\(587\) | −11.3185 | + | 5.03932i | −0.467165 | + | 0.207995i | −0.626799 | − | 0.779181i | \(-0.715635\pi\) |
0.159634 | + | 0.987176i | \(0.448969\pi\) | |||||||
\(588\) | −22.1302 | + | 19.6318i | −0.912635 | + | 0.809601i | ||||
\(589\) | −19.7788 | + | 21.9666i | −0.814973 | + | 0.905119i | ||||
\(590\) | −0.931901 | + | 8.86645i | −0.0383658 | + | 0.365026i | ||||
\(591\) | 0.0138027 | − | 1.86651i | 0.000567766 | − | 0.0767780i | ||||
\(592\) | 0.497328 | + | 0.552339i | 0.0204401 | + | 0.0227010i | ||||
\(593\) | 4.18039 | 0.171668 | 0.0858340 | − | 0.996309i | \(-0.472645\pi\) | ||||
0.0858340 | + | 0.996309i | \(0.472645\pi\) | |||||||
\(594\) | −0.889931 | + | 40.1274i | −0.0365143 | + | 1.64645i | ||||
\(595\) | −2.80796 | −0.115115 | ||||||||
\(596\) | −9.45710 | − | 10.5032i | −0.387378 | − | 0.430227i | ||||
\(597\) | 0.210445 | − | 28.4580i | 0.00861292 | − | 1.16471i | ||||
\(598\) | 4.61885 | − | 43.9454i | 0.188879 | − | 1.79706i | ||||
\(599\) | −29.4944 | + | 32.7569i | −1.20511 | + | 1.33841i | −0.279401 | + | 0.960174i | \(0.590136\pi\) |
−0.925709 | + | 0.378236i | \(0.876531\pi\) | |||||||
\(600\) | −21.0578 | + | 18.6804i | −0.859680 | + | 0.762624i | ||||
\(601\) | −1.59991 | + | 0.712324i | −0.0652616 | + | 0.0290563i | −0.439108 | − | 0.898434i | \(-0.644705\pi\) |
0.373846 | + | 0.927491i | \(0.378039\pi\) | |||||||
\(602\) | 9.49624 | − | 6.89943i | 0.387038 | − | 0.281200i | ||||
\(603\) | 14.5669 | + | 26.1152i | 0.593212 | + | 1.06349i | ||||
\(604\) | −60.8670 | −2.47664 | ||||||||
\(605\) | 2.82126 | + | 2.04968i | 0.114701 | + | 0.0833312i | ||||
\(606\) | −38.2012 | − | 4.30094i | −1.55182 | − | 0.174714i | ||||
\(607\) | 10.6316 | − | 2.25982i | 0.431525 | − | 0.0917234i | 0.0129718 | − | 0.999916i | \(-0.495871\pi\) |
0.418553 | + | 0.908192i | \(0.362538\pi\) | |||||||
\(608\) | −12.9945 | − | 5.78553i | −0.526997 | − | 0.234634i | ||||
\(609\) | 5.31111 | + | 4.85373i | 0.215217 | + | 0.196683i | ||||
\(610\) | 3.33682 | + | 0.709263i | 0.135104 | + | 0.0287172i | ||||
\(611\) | −9.66362 | − | 29.7416i | −0.390948 | − | 1.20321i | ||||
\(612\) | −62.9339 | + | 12.4072i | −2.54395 | + | 0.501531i | ||||
\(613\) | −14.3951 | + | 10.4586i | −0.581412 | + | 0.422421i | −0.839233 | − | 0.543772i | \(-0.816996\pi\) |
0.257821 | + | 0.966193i | \(0.416996\pi\) | |||||||
\(614\) | 36.0497 | + | 40.0372i | 1.45485 | + | 1.61577i | ||||
\(615\) | −0.849849 | − | 1.94742i | −0.0342692 | − | 0.0785276i | ||||
\(616\) | −4.82254 | − | 14.8417i | −0.194306 | − | 0.597990i | ||||
\(617\) | −1.99805 | − | 3.46073i | −0.0804386 | − | 0.139324i | 0.823000 | − | 0.568042i | \(-0.192299\pi\) |
−0.903438 | + | 0.428718i | \(0.858965\pi\) | |||||||
\(618\) | 22.3792 | + | 31.2862i | 0.900222 | + | 1.25852i | ||||
\(619\) | 1.14724 | + | 10.9153i | 0.0461115 | + | 0.438721i | 0.993084 | + | 0.117407i | \(0.0374581\pi\) |
−0.946972 | + | 0.321315i | \(0.895875\pi\) | |||||||
\(620\) | −8.37989 | − | 6.08835i | −0.336544 | − | 0.244514i | ||||
\(621\) | −20.5978 | + | 11.2905i | −0.826560 | + | 0.453071i | ||||
\(622\) | 14.6926 | + | 45.2191i | 0.589118 | + | 1.81312i | ||||
\(623\) | −3.49552 | + | 1.55630i | −0.140045 | + | 0.0623520i | ||||
\(624\) | 0.0471432 | − | 6.37510i | 0.00188724 | − | 0.255208i | ||||
\(625\) | −22.9890 | + | 4.88646i | −0.919560 | + | 0.195458i | ||||
\(626\) | 39.6388 | + | 68.6565i | 1.58429 | + | 2.74407i | ||||
\(627\) | 17.6841 | + | 1.99081i | 0.706236 | + | 0.0795053i | ||||
\(628\) | 3.45380 | − | 5.98216i | 0.137822 | − | 0.238714i | ||||
\(629\) | −1.63530 | + | 5.03293i | −0.0652037 | + | 0.200676i | ||||
\(630\) | −2.88894 | + | 1.23537i | −0.115098 | + | 0.0492184i | ||||
\(631\) | −6.99735 | − | 5.08388i | −0.278560 | − | 0.202386i | 0.439729 | − | 0.898131i | \(-0.355075\pi\) |
−0.718289 | + | 0.695745i | \(0.755075\pi\) | |||||||
\(632\) | 10.9732 | + | 2.33242i | 0.436490 | + | 0.0927788i | ||||
\(633\) | −5.19618 | − | 25.3671i | −0.206530 | − | 1.00825i | ||||
\(634\) | 6.67542 | − | 63.5123i | 0.265115 | − | 2.52240i | ||||
\(635\) | 3.82417 | + | 1.70263i | 0.151757 | + | 0.0675668i | ||||
\(636\) | 16.3891 | − | 36.0900i | 0.649871 | − | 1.43106i | ||||
\(637\) | 10.4672 | − | 18.1296i | 0.414724 | − | 0.718323i | ||||
\(638\) | 20.6648 | − | 9.20082i | 0.818128 | − | 0.364264i | ||||
\(639\) | −2.59293 | − | 8.40100i | −0.102575 | − | 0.332338i | ||||
\(640\) | 1.94048 | − | 5.97219i | 0.0767042 | − | 0.236071i | ||||
\(641\) | −3.87671 | − | 36.8844i | −0.153121 | − | 1.45685i | −0.753666 | − | 0.657257i | \(-0.771717\pi\) |
0.600546 | − | 0.799591i | \(-0.294950\pi\) | |||||||
\(642\) | −4.48910 | + | 20.3774i | −0.177170 | + | 0.804232i | ||||
\(643\) | −27.2554 | + | 30.2702i | −1.07485 | + | 1.19374i | −0.0946941 | + | 0.995506i | \(0.530187\pi\) |
−0.980155 | + | 0.198234i | \(0.936479\pi\) | |||||||
\(644\) | 14.6923 | − | 16.3175i | 0.578958 | − | 0.642998i | ||||
\(645\) | −1.85986 | + | 0.589137i | −0.0732321 | + | 0.0231973i | ||||
\(646\) | 4.70916 | + | 44.8047i | 0.185280 | + | 1.76282i | ||||
\(647\) | −0.175813 | + | 0.541098i | −0.00691193 | + | 0.0212727i | −0.954453 | − | 0.298361i | \(-0.903560\pi\) |
0.947541 | + | 0.319634i | \(0.103560\pi\) | |||||||
\(648\) | −24.6606 | + | 16.8256i | −0.968759 | + | 0.660973i | ||||
\(649\) | −26.7973 | − | 29.7608i | −1.05189 | − | 1.16821i | ||||
\(650\) | 23.9461 | − | 41.4758i | 0.939242 | − | 1.62682i | ||||
\(651\) | 13.6389 | + | 19.0673i | 0.534552 | + | 0.747306i | ||||
\(652\) | −4.94388 | − | 2.20116i | −0.193617 | − | 0.0862040i | ||||
\(653\) | 3.81817 | − | 36.3275i | 0.149417 | − | 1.42160i | −0.620873 | − | 0.783911i | \(-0.713222\pi\) |
0.770290 | − | 0.637694i | \(-0.220111\pi\) | |||||||
\(654\) | 43.6861 | − | 38.7540i | 1.70826 | − | 1.51540i | ||||
\(655\) | −2.26381 | − | 0.481187i | −0.0884542 | − | 0.0188015i | ||||
\(656\) | 2.74549 | + | 1.99472i | 0.107193 | + | 0.0778806i | ||||
\(657\) | 10.1830 | + | 7.63100i | 0.397277 | + | 0.297714i | ||||
\(658\) | 7.60666 | − | 23.4109i | 0.296538 | − | 0.912651i | ||||
\(659\) | 12.0035 | − | 20.7907i | 0.467590 | − | 0.809889i | −0.531725 | − | 0.846917i | \(-0.678456\pi\) |
0.999314 | + | 0.0370284i | \(0.0117892\pi\) | |||||||
\(660\) | −0.0460493 | + | 6.23587i | −0.00179246 | + | 0.242731i | ||||
\(661\) | −6.49165 | − | 11.2439i | −0.252496 | − | 0.437336i | 0.711717 | − | 0.702467i | \(-0.247918\pi\) |
−0.964212 | + | 0.265131i | \(0.914585\pi\) | |||||||
\(662\) | 40.9431 | − | 8.70273i | 1.59130 | − | 0.338241i | ||||
\(663\) | 39.4776 | − | 22.4048i | 1.53318 | − | 0.870130i | ||||
\(664\) | −40.8712 | + | 18.1970i | −1.58611 | + | 0.706181i | ||||
\(665\) | 0.430484 | + | 1.32489i | 0.0166935 | + | 0.0513772i | ||||
\(666\) | 0.531800 | + | 5.89752i | 0.0206068 | + | 0.228524i | ||||
\(667\) | 10.7098 | + | 7.78112i | 0.414685 | + | 0.301286i | ||||
\(668\) | −5.48410 | − | 52.1777i | −0.212186 | − | 2.01882i | ||||
\(669\) | −3.32062 | + | 0.324204i | −0.128383 | + | 0.0125344i | ||||
\(670\) | 3.67978 | + | 6.37356i | 0.142162 | + | 0.246232i | ||||
\(671\) | −12.3972 | + | 9.00727i | −0.478588 | + | 0.347722i | ||||
\(672\) | −6.69825 | + | 9.07743i | −0.258391 | + | 0.350169i | ||||
\(673\) | 11.3924 | + | 12.6525i | 0.439144 | + | 0.487719i | 0.921567 | − | 0.388219i | \(-0.126910\pi\) |
−0.482423 | + | 0.875939i | \(0.660243\pi\) | |||||||
\(674\) | −20.6737 | + | 15.0204i | −0.796323 | + | 0.578562i | ||||
\(675\) | −25.3719 | + | 2.09885i | −0.976564 | + | 0.0807847i | ||||
\(676\) | 4.88349 | + | 15.0298i | 0.187827 | + | 0.578071i | ||||
\(677\) | 34.6574 | + | 7.36665i | 1.33199 | + | 0.283123i | 0.818270 | − | 0.574834i | \(-0.194933\pi\) |
0.513721 | + | 0.857957i | \(0.328267\pi\) | |||||||
\(678\) | −28.5792 | + | 9.05285i | −1.09758 | + | 0.347673i | ||||
\(679\) | 6.81290 | + | 3.03330i | 0.261455 | + | 0.116407i | ||||
\(680\) | −6.42281 | + | 1.36521i | −0.246304 | + | 0.0523535i | ||||
\(681\) | 11.0920 | + | 25.4172i | 0.425046 | + | 0.973988i | ||||
\(682\) | 72.0939 | − | 15.3248i | 2.76062 | − | 0.586817i | ||||
\(683\) | 23.8967 | 0.914381 | 0.457191 | − | 0.889369i | \(-0.348856\pi\) | ||||
0.457191 | + | 0.889369i | \(0.348856\pi\) | |||||||
\(684\) | 15.5024 | + | 27.7923i | 0.592750 | + | 1.06266i | ||||
\(685\) | 2.51533 | − | 1.82749i | 0.0961058 | − | 0.0698250i | ||||
\(686\) | 36.1801 | − | 16.1084i | 1.38136 | − | 0.615022i | ||||
\(687\) | −0.181756 | − | 0.887309i | −0.00693443 | − | 0.0338530i | ||||
\(688\) | 2.08499 | − | 2.31561i | 0.0794894 | − | 0.0882819i | ||||
\(689\) | −2.93192 | + | 27.8953i | −0.111697 | + | 1.06273i | ||||
\(690\) | −5.02773 | + | 2.85340i | −0.191403 | + | 0.108627i | ||||
\(691\) | −0.396537 | − | 0.440399i | −0.0150850 | − | 0.0167536i | 0.735555 | − | 0.677465i | \(-0.236921\pi\) |
−0.750640 | + | 0.660711i | \(0.770255\pi\) | |||||||
\(692\) | −3.37645 | −0.128353 | ||||||||
\(693\) | 4.55931 | − | 13.3571i | 0.173194 | − | 0.507395i | ||||
\(694\) | 51.4682 | 1.95371 | ||||||||
\(695\) | 2.01031 | + | 2.23268i | 0.0762555 | + | 0.0846903i | ||||
\(696\) | 14.5082 | + | 8.52000i | 0.549933 | + | 0.322950i | ||||
\(697\) | −2.52569 | + | 24.0303i | −0.0956672 | + | 0.910213i | ||||
\(698\) | −28.6805 | + | 31.8529i | −1.08557 | + | 1.20565i | ||||
\(699\) | 16.8477 | + | 5.61223i | 0.637239 | + | 0.212274i | ||||
\(700\) | 21.7407 | − | 9.67960i | 0.821723 | − | 0.365855i | ||||
\(701\) | 20.5701 | − | 14.9451i | 0.776922 | − | 0.564467i | −0.127131 | − | 0.991886i | \(-0.540577\pi\) |
0.904054 | + | 0.427419i | \(0.140577\pi\) | |||||||
\(702\) | 30.7589 | − | 40.4192i | 1.16092 | − | 1.52552i | ||||
\(703\) | 2.62542 | 0.0990194 | ||||||||
\(704\) | 20.6430 | + | 35.7538i | 0.778011 | + | 1.34752i | ||||
\(705\) | −2.42922 | + | 3.29206i | −0.0914896 | + | 0.123986i | ||||
\(706\) | −75.3387 | + | 16.0137i | −2.83541 | + | 0.602685i | ||||
\(707\) | 12.3492 | + | 5.49821i | 0.464439 | + | 0.206782i | ||||
\(708\) | 15.4072 | − | 69.9382i | 0.579039 | − | 2.62844i | ||||
\(709\) | −14.7746 | − | 3.14044i | −0.554871 | − | 0.117942i | −0.0780624 | − | 0.996948i | \(-0.524873\pi\) |
−0.476809 | + | 0.879007i | \(0.658207\pi\) | |||||||
\(710\) | −0.668663 | − | 2.05793i | −0.0250945 | − | 0.0772329i | ||||
\(711\) | 6.67672 | + | 7.63950i | 0.250397 | + | 0.286504i | ||||
\(712\) | −7.23882 | + | 5.25931i | −0.271286 | + | 0.197101i | ||||
\(713\) | 28.8620 | + | 32.0545i | 1.08089 | + | 1.20045i | ||||
\(714\) | 35.5059 | + | 3.99749i | 1.32877 | + | 0.149602i | ||||
\(715\) | −1.36371 | − | 4.19692i | −0.0509998 | − | 0.156956i | ||||
\(716\) | 19.2200 | + | 33.2900i | 0.718284 | + | 1.24410i | ||||
\(717\) | −6.90463 | + | 15.2045i | −0.257858 | + | 0.567821i | ||||
\(718\) | −0.730010 | − | 6.94558i | −0.0272437 | − | 0.259207i | ||||
\(719\) | −9.74281 | − | 7.07857i | −0.363345 | − | 0.263986i | 0.391101 | − | 0.920348i | \(-0.372094\pi\) |
−0.754446 | + | 0.656362i | \(0.772094\pi\) | |||||||
\(720\) | −0.681954 | + | 0.480222i | −0.0254149 | + | 0.0178968i | ||||
\(721\) | −4.17983 | − | 12.8642i | −0.155665 | − | 0.479088i | ||||
\(722\) | −20.0069 | + | 8.90765i | −0.744580 | + | 0.331508i | ||||
\(723\) | −0.416300 | − | 0.244473i | −0.0154824 | − | 0.00909206i | ||||
\(724\) | −60.0405 | + | 12.7620i | −2.23139 | + | 0.474296i | ||||
\(725\) | 7.17396 | + | 12.4257i | 0.266434 | + | 0.461477i | ||||
\(726\) | −32.7561 | − | 29.9340i | −1.21569 | − | 1.11095i | ||||
\(727\) | −24.7966 | + | 42.9489i | −0.919654 | + | 1.59289i | −0.119714 | + | 0.992808i | \(0.538198\pi\) |
−0.799940 | + | 0.600079i | \(0.795136\pi\) | |||||||
\(728\) | −6.10251 | + | 18.7816i | −0.226174 | + | 0.696092i | ||||
\(729\) | −26.9734 | − | 1.19756i | −0.999016 | − | 0.0443541i | ||||
\(730\) | 2.53368 | + | 1.84082i | 0.0937755 | + | 0.0681319i | ||||
\(731\) | 21.7010 | + | 4.61269i | 0.802640 | + | 0.170606i | ||||
\(732\) | −25.9985 | − | 8.66048i | −0.960931 | − | 0.320101i | ||||
\(733\) | 3.37265 | − | 32.0886i | 0.124572 | − | 1.18522i | −0.736392 | − | 0.676555i | \(-0.763472\pi\) |
0.860964 | − | 0.508666i | \(-0.169861\pi\) | |||||||
\(734\) | 3.53713 | + | 1.57483i | 0.130558 | + | 0.0581281i | ||||
\(735\) | −2.72586 | + | 0.266135i | −0.100545 | + | 0.00981653i | ||||
\(736\) | −10.3783 | + | 17.9757i | −0.382548 | + | 0.662593i | ||||
\(737\) | −32.3368 | − | 6.87305i | −1.19114 | − | 0.253172i | ||||
\(738\) | 7.97369 | + | 25.8344i | 0.293516 | + | 0.950979i | ||||
\(739\) | −0.968005 | + | 2.97921i | −0.0356086 | + | 0.109592i | −0.967281 | − | 0.253708i | \(-0.918350\pi\) |
0.931672 | + | 0.363300i | \(0.118350\pi\) | |||||||
\(740\) | 0.0961664 | + | 0.914963i | 0.00353515 | + | 0.0336347i | ||||
\(741\) | −16.6236 | − | 15.1920i | −0.610683 | − | 0.558093i | ||||
\(742\) | −14.7735 | + | 16.4076i | −0.542351 | + | 0.602341i | ||||
\(743\) | 5.21170 | − | 5.78818i | 0.191199 | − | 0.212348i | −0.639922 | − | 0.768440i | \(-0.721033\pi\) |
0.831121 | + | 0.556092i | \(0.187700\pi\) | |||||||
\(744\) | 40.4674 | + | 36.9825i | 1.48361 | + | 1.35585i | ||||
\(745\) | −0.136774 | − | 1.30132i | −0.00501100 | − | 0.0476765i | ||||
\(746\) | −15.4798 | + | 47.6420i | −0.566756 | + | 1.74430i | ||||
\(747\) | −39.4495 | − | 8.99701i | −1.44338 | − | 0.329183i | ||||
\(748\) | 35.4570 | − | 61.4148i | 1.29644 | − | 2.24555i | ||||
\(749\) | 3.66865 | − | 6.35428i | 0.134049 | − | 0.232180i | ||||
\(750\) | −12.6000 | + | 1.23018i | −0.460087 | + | 0.0449198i | ||||
\(751\) | 45.3932 | + | 20.2103i | 1.65642 | + | 0.737486i | 0.999859 | − | 0.0167864i | \(-0.00534354\pi\) |
0.656562 | + | 0.754272i | \(0.272010\pi\) | |||||||
\(752\) | 0.683037 | − | 6.49866i | 0.0249078 | − | 0.236982i | ||||
\(753\) | −7.27216 | − | 2.42247i | −0.265012 | − | 0.0882796i | ||||
\(754\) | −27.9997 | − | 5.95153i | −1.01969 | − | 0.216742i | ||||
\(755\) | −4.55890 | − | 3.31224i | −0.165915 | − | 0.120545i | ||||
\(756\) | 24.1709 | − | 7.26494i | 0.879089 | − | 0.264223i | ||||
\(757\) | −8.35296 | + | 25.7078i | −0.303594 | + | 0.934365i | 0.676605 | + | 0.736346i | \(0.263451\pi\) |
−0.980198 | + | 0.198018i | \(0.936549\pi\) | |||||||
\(758\) | −14.4623 | + | 25.0495i | −0.525295 | + | 0.909838i | ||||
\(759\) | 5.58653 | − | 25.3603i | 0.202778 | − | 0.920519i | ||||
\(760\) | 1.62882 | + | 2.82121i | 0.0590836 | + | 0.102336i | ||||
\(761\) | −43.5379 | + | 9.25426i | −1.57825 | + | 0.335467i | −0.911976 | − | 0.410243i | \(-0.865444\pi\) |
−0.666271 | + | 0.745710i | \(0.732111\pi\) | |||||||
\(762\) | −45.9316 | − | 26.9734i | −1.66393 | − | 0.977144i | ||||
\(763\) | −18.7597 | + | 8.35235i | −0.679147 | + | 0.302376i | ||||
\(764\) | 13.6374 | + | 41.9716i | 0.493384 | + | 1.51848i | ||||
\(765\) | −5.38889 | − | 2.49543i | −0.194836 | − | 0.0902223i | ||||
\(766\) | −1.50675 | − | 1.09472i | −0.0544412 | − | 0.0395538i | ||||
\(767\) | 5.29732 | + | 50.4006i | 0.191275 | + | 1.81986i | ||||
\(768\) | −15.2093 | + | 33.4918i | −0.548817 | + | 1.20853i | ||||
\(769\) | 1.65952 | + | 2.87438i | 0.0598440 | + | 0.103653i | 0.894395 | − | 0.447277i | \(-0.147606\pi\) |
−0.834551 | + | 0.550930i | \(0.814273\pi\) | |||||||
\(770\) | 1.07337 | − | 3.30360i | 0.0386815 | − | 0.119054i | ||||
\(771\) | 6.29008 | + | 0.708179i | 0.226532 | + | 0.0255044i | ||||
\(772\) | −53.0453 | − | 58.9127i | −1.90914 | − | 2.12032i | ||||
\(773\) | −23.0471 | + | 16.7447i | −0.828946 | + | 0.602264i | −0.919261 | − | 0.393649i | \(-0.871213\pi\) |
0.0903152 | + | 0.995913i | \(0.471213\pi\) | |||||||
\(774\) | 24.3561 | − | 4.80172i | 0.875464 | − | 0.172594i | ||||
\(775\) | 14.4465 | + | 44.4617i | 0.518934 | + | 1.59711i | ||||
\(776\) | 17.0583 | + | 3.62585i | 0.612357 | + | 0.130160i | ||||
\(777\) | 0.447965 | − | 2.03345i | 0.0160707 | − | 0.0729497i | ||||
\(778\) | −3.69506 | − | 1.64515i | −0.132474 | − | 0.0589813i | ||||
\(779\) | 11.7255 | − | 2.49234i | 0.420111 | − | 0.0892973i | ||||
\(780\) | 4.68555 | − | 6.34982i | 0.167769 | − | 0.227360i | ||||
\(781\) | 8.87968 | + | 3.95338i | 0.317740 | + | 0.141463i | ||||
\(782\) | 65.7407 | 2.35088 | ||||||||
\(783\) | 5.87928 | + | 14.0350i | 0.210108 | + | 0.501569i | ||||
\(784\) | 3.53890 | − | 2.57116i | 0.126389 | − | 0.0918273i | ||||
\(785\) | 0.584222 | − | 0.260113i | 0.0208518 | − | 0.00928382i | ||||
\(786\) | 27.9401 | + | 9.30728i | 0.996592 | + | 0.331980i | ||||
\(787\) | 8.73129 | − | 9.69708i | 0.311237 | − | 0.345663i | −0.567150 | − | 0.823615i | \(-0.691954\pi\) |
0.878386 | + | 0.477951i | \(0.158621\pi\) | |||||||
\(788\) | −0.385729 | + | 3.66996i | −0.0137410 | + | 0.130737i | ||||
\(789\) | −21.5855 | − | 12.6761i | −0.768464 | − | 0.451282i | ||||
\(790\) | 1.67086 | + | 1.85568i | 0.0594464 | + | 0.0660220i | ||||
\(791\) | 10.5417 | 0.374819 | ||||||||
\(792\) | 3.93463 | − | 32.7692i | 0.139811 | − | 1.16440i | ||||
\(793\) | 19.3917 | 0.688618 | ||||||||
\(794\) | −38.5861 | − | 42.8542i | −1.36937 | − | 1.52084i | ||||
\(795\) | 3.19147 | − | 1.81126i | 0.113190 | − | 0.0642388i | ||||
\(796\) | −5.88107 | + | 55.9547i | −0.208449 | + | 1.98326i | ||||
\(797\) | 33.5725 | − | 37.2861i | 1.18920 | − | 1.32074i | 0.253754 | − | 0.967269i | \(-0.418334\pi\) |
0.935445 | − | 0.353471i | \(-0.114999\pi\) | |||||||
\(798\) | −3.55719 | − | 17.3657i | −0.125923 | − | 0.614741i | ||||
\(799\) | 42.5033 | − | 18.9237i | 1.50366 | − | 0.669472i | ||||
\(800\) | −18.2003 | + | 13.2233i | −0.643477 | + | 0.467514i | ||||
\(801\) | −8.09148 | − | 0.119678i | −0.285898 | − | 0.00422861i | ||||
\(802\) | 50.8941 | 1.79713 | ||||||||
\(803\) | −13.7606 | + | 2.92505i | −0.485600 | + | 0.103223i | ||||
\(804\) | −23.6455 | − | 54.1835i | −0.833914 | − | 1.91091i | ||||
\(805\) | 1.98840 | − | 0.422648i | 0.0700820 | − | 0.0148964i | ||||
\(806\) | −85.2062 | − | 37.9363i | −3.00126 | − | 1.33625i | ||||
\(807\) | 1.51538 | − | 0.480017i | 0.0533438 | − | 0.0168974i | ||||
\(808\) | 30.9202 | + | 6.57229i | 1.08777 | + | 0.231212i | ||||
\(809\) | −10.8621 | − | 33.4301i | −0.381892 | − | 1.17534i | −0.938710 | − | 0.344707i | \(-0.887978\pi\) |
0.556819 | − | 0.830634i | \(-0.312022\pi\) | |||||||
\(810\) | −6.64215 | − | 0.196526i | −0.233381 | − | 0.00690523i | ||||
\(811\) | −17.8837 | + | 12.9933i | −0.627981 | + | 0.456255i | −0.855700 | − | 0.517472i | \(-0.826873\pi\) |
0.227719 | + | 0.973727i | \(0.426873\pi\) | |||||||
\(812\) | −9.51789 | − | 10.5707i | −0.334012 | − | 0.370958i | ||||
\(813\) | 2.71932 | − | 3.68521i | 0.0953708 | − | 0.129246i | ||||
\(814\) | −5.29620 | − | 3.84783i | −0.185632 | − | 0.134866i | ||||
\(815\) | −0.250512 | − | 0.433900i | −0.00877506 | − | 0.0151989i | ||||
\(816\) | 9.44004 | − | 0.921663i | 0.330467 | − | 0.0322647i | ||||
\(817\) | −1.15052 | − | 10.9464i | −0.0402515 | − | 0.382967i | ||||
\(818\) | −15.1391 | − | 10.9992i | −0.529327 | − | 0.384579i | ||||
\(819\) | −14.6030 | + | 10.2832i | −0.510272 | + | 0.359325i | ||||
\(820\) | 1.29808 | + | 3.99508i | 0.0453309 | + | 0.139514i | ||||
\(821\) | 2.31785 | − | 1.03197i | 0.0808934 | − | 0.0360160i | −0.365891 | − | 0.930658i | \(-0.619236\pi\) |
0.446784 | + | 0.894642i | \(0.352569\pi\) | |||||||
\(822\) | −34.4073 | + | 19.5272i | −1.20009 | + | 0.681091i | ||||
\(823\) | 10.1460 | − | 2.15660i | 0.353668 | − | 0.0751745i | −0.0276517 | − | 0.999618i | \(-0.508803\pi\) |
0.381320 | + | 0.924443i | \(0.375470\pi\) | |||||||
\(824\) | −15.8152 | − | 27.3928i | −0.550950 | − | 0.954273i | ||||
\(825\) | 16.7112 | − | 22.6474i | 0.581809 | − | 0.788481i | ||||
\(826\) | −19.9455 | + | 34.5467i | −0.693994 | + | 1.20203i | ||||
\(827\) | 16.2925 | − | 50.1431i | 0.566546 | − | 1.74365i | −0.0967683 | − | 0.995307i | \(-0.530851\pi\) |
0.663314 | − | 0.748341i | \(-0.269149\pi\) | |||||||
\(828\) | 42.6979 | − | 18.2586i | 1.48385 | − | 0.634529i | ||||
\(829\) | −30.6163 | − | 22.2440i | −1.06335 | − | 0.772566i | −0.0886419 | − | 0.996064i | \(-0.528253\pi\) |
−0.974705 | + | 0.223497i | \(0.928253\pi\) | |||||||
\(830\) | −9.74073 | − | 2.07046i | −0.338106 | − | 0.0718666i | ||||
\(831\) | 37.4515 | − | 33.2234i | 1.29918 | − | 1.15251i | ||||
\(832\) | 5.46104 | − | 51.9583i | 0.189327 | − | 1.80133i | ||||
\(833\) | 28.4527 | + | 12.6680i | 0.985829 | + | 0.438919i | ||||
\(834\) | −22.2413 | − | 31.0935i | −0.770154 | − | 1.07668i | ||||
\(835\) | 2.42863 | − | 4.20651i | 0.0840462 | − | 0.145572i | ||||
\(836\) | −34.4135 | − | 7.31444i | −1.19021 | − | 0.252975i | ||||
\(837\) | 9.23003 | + | 48.7137i | 0.319037 | + | 1.68379i | ||||
\(838\) | −4.02803 | + | 12.3970i | −0.139146 | + | 0.428247i | ||||
\(839\) | 2.10265 | + | 20.0054i | 0.0725915 | + | 0.690662i | 0.968937 | + | 0.247306i | \(0.0795454\pi\) |
−0.896346 | + | 0.443355i | \(0.853788\pi\) | |||||||
\(840\) | 2.46302 | − | 0.780194i | 0.0849821 | − | 0.0269193i | ||||
\(841\) | −13.6665 | + | 15.1781i | −0.471257 | + | 0.523384i | ||||
\(842\) | 58.9925 | − | 65.5178i | 2.03302 | − | 2.25789i | ||||
\(843\) | −3.25776 | + | 14.7880i | −0.112203 | + | 0.509325i | ||||
\(844\) | 5.35100 | + | 50.9114i | 0.184189 | + | 1.75244i | ||||
\(845\) | −0.452118 | + | 1.39148i | −0.0155533 | + | 0.0478682i | ||||
\(846\) | 35.4034 | − | 38.1688i | 1.21719 | − | 1.31227i | ||||
\(847\) | 7.80199 | + | 13.5128i | 0.268079 | + | 0.464305i | ||||
\(848\) | −2.93048 | + | 5.07575i | −0.100633 | + | 0.174302i | ||||
\(849\) | −16.6275 | + | 36.6149i | −0.570655 | + | 1.25662i | ||||
\(850\) | 65.0923 | + | 28.9810i | 2.23265 | + | 0.994039i | ||||
\(851\) | 0.400459 | − | 3.81011i | 0.0137275 | − | 0.130609i | ||||
\(852\) | 3.48806 | + | 17.0282i | 0.119499 | + | 0.583377i | ||||
\(853\) | −8.92089 | − | 1.89619i | −0.305446 | − | 0.0649245i | 0.0526390 | − | 0.998614i | \(-0.483237\pi\) |
−0.358085 | + | 0.933689i | \(0.616570\pi\) | |||||||
\(854\) | 12.3489 | + | 8.97197i | 0.422569 | + | 0.307014i | ||||
\(855\) | −0.351266 | + | 2.92523i | −0.0120131 | + | 0.100041i | ||||
\(856\) | 5.30210 | − | 16.3182i | 0.181222 | − | 0.557744i | ||||
\(857\) | 0.922678 | − | 1.59813i | 0.0315181 | − | 0.0545909i | −0.849836 | − | 0.527047i | \(-0.823299\pi\) |
0.881354 | + | 0.472456i | \(0.156632\pi\) | |||||||
\(858\) | 11.2689 | + | 55.0102i | 0.384713 | + | 1.87802i | ||||
\(859\) | −14.2555 | − | 24.6913i | −0.486392 | − | 0.842456i | 0.513485 | − | 0.858098i | \(-0.328354\pi\) |
−0.999878 | + | 0.0156422i | \(0.995021\pi\) | |||||||
\(860\) | 3.77271 | − | 0.801915i | 0.128648 | − | 0.0273451i | ||||
\(861\) | 0.0703033 | − | 9.50699i | 0.00239593 | − | 0.323997i | ||||
\(862\) | −63.3708 | + | 28.2145i | −2.15842 | + | 0.960989i | ||||
\(863\) | −3.30628 | − | 10.1757i | −0.112547 | − | 0.346385i | 0.878880 | − | 0.477042i | \(-0.158291\pi\) |
−0.991428 | + | 0.130658i | \(0.958291\pi\) | |||||||
\(864\) | −20.9220 | + | 11.4682i | −0.711780 | + | 0.390155i | ||||
\(865\) | −0.252894 | − | 0.183738i | −0.00859865 | − | 0.00624729i | ||||
\(866\) | 0.0679878 | + | 0.646861i | 0.00231032 | + | 0.0219812i | ||||
\(867\) | 22.1592 | + | 30.9787i | 0.752567 | + | 1.05209i | ||||
\(868\) | −23.1735 | − | 40.1376i | −0.786559 | − | 1.36236i | ||||
\(869\) | −11.2168 | 0.000115910i | −0.380503 | 3.93198e-6i | ||||||
\(870\) | 1.49790 | + | 3.43242i | 0.0507834 | + | 0.116370i | ||||
\(871\) | 27.9930 | + | 31.0893i | 0.948506 | + | 1.05342i | ||||
\(872\) | −38.8492 | + | 28.2256i | −1.31560 | + | 0.955840i | ||||
\(873\) | 10.3793 | + | 11.8759i | 0.351284 | + | 0.401939i | ||||
\(874\) | −10.0786 | − | 31.0187i | −0.340913 | − | 1.04922i | ||||
\(875\) | 4.35443 | + | 0.925562i | 0.147207 | + | 0.0312897i | ||||
\(876\) | −18.5705 | − | 16.9713i | −0.627439 | − | 0.573406i | ||||
\(877\) | 37.3021 | + | 16.6080i | 1.25960 | + | 0.560811i | 0.924432 | − | 0.381346i | \(-0.124539\pi\) |
0.335171 | + | 0.942157i | \(0.391206\pi\) | |||||||
\(878\) | −34.1637 | + | 7.26173i | −1.15297 | + | 0.245071i | ||||
\(879\) | −36.1024 | − | 4.06464i | −1.21770 | − | 0.137097i | ||||
\(880\) | 0.0963762 | − | 0.917050i | 0.00324884 | − | 0.0309137i | ||||
\(881\) | 21.0458 | 0.709050 | 0.354525 | − | 0.935047i | \(-0.384643\pi\) | ||||
0.354525 | + | 0.935047i | \(0.384643\pi\) | |||||||
\(882\) | 34.8465 | + | 0.515402i | 1.17334 | + | 0.0173545i | ||||
\(883\) | −10.2973 | + | 7.48145i | −0.346533 | + | 0.251771i | −0.747413 | − | 0.664360i | \(-0.768704\pi\) |
0.400880 | + | 0.916130i | \(0.368704\pi\) | |||||||
\(884\) | −81.9816 | + | 36.5006i | −2.75734 | + | 1.22765i | ||||
\(885\) | 4.95986 | − | 4.39991i | 0.166724 | − | 0.147901i | ||||
\(886\) | 22.5966 | − | 25.0961i | 0.759148 | − | 0.843119i | ||||
\(887\) | −1.12107 | + | 10.6662i | −0.0376417 | + | 0.358137i | 0.959447 | + | 0.281889i | \(0.0909609\pi\) |
−0.997089 | + | 0.0762484i | \(0.975706\pi\) | |||||||
\(888\) | 0.0360060 | − | 4.86902i | 0.00120828 | − | 0.163394i | ||||
\(889\) | 12.5331 | + | 13.9194i | 0.420346 | + | 0.466842i | ||||
\(890\) | −1.99164 | −0.0667599 | ||||||||
\(891\) | 20.6204 | − | 21.5824i | 0.690809 | − | 0.723038i | ||||
\(892\) | 6.59606 | 0.220852 | ||||||||
\(893\) | −15.4450 | − | 17.1534i | −0.516846 | − | 0.574015i | ||||
\(894\) | −0.123121 | + | 16.6495i | −0.00411779 | + | 0.556841i | ||||
\(895\) | −0.371996 | + | 3.53931i | −0.0124345 | + | 0.118306i | ||||
\(896\) | 18.8009 | − | 20.8805i | 0.628094 | − | 0.697569i | ||||
\(897\) | −24.5829 | + | 21.8076i | −0.820800 | + | 0.728133i | ||||
\(898\) | −45.1523 | + | 20.1031i | −1.50675 | + | 0.670850i | ||||
\(899\) | 22.6060 | − | 16.4242i | 0.753952 | − | 0.547778i | ||||
\(900\) | 50.3258 | + | 0.744350i | 1.67753 | + | 0.0248117i | ||||
\(901\) | −41.7304 | −1.39024 | ||||||||
\(902\) | −27.3065 | − | 12.1573i | −0.909206 | − | 0.404793i | ||||
\(903\) | −8.67461 | − | 0.976645i | −0.288673 | − | 0.0325007i | ||||
\(904\) | 24.1126 | − | 5.12529i | 0.801972 | − | 0.170464i | ||||
\(905\) | −5.19148 | − | 2.31139i | −0.172571 | − | 0.0768334i | ||||
\(906\) | 52.9306 | + | 48.3724i | 1.75850 | + | 1.60707i | ||||
\(907\) | 12.9561 | + | 2.75391i | 0.430201 | + | 0.0914421i | 0.417923 | − | 0.908483i | \(-0.362758\pi\) |
0.0122784 | + | 0.999925i | \(0.496092\pi\) | |||||||
\(908\) | −16.9422 | − | 52.1426i | −0.562245 | − | 1.73041i | ||||
\(909\) | 18.8136 | + | 21.5265i | 0.624009 | + | 0.713990i | ||||
\(910\) | −3.55618 | + | 2.58372i | −0.117886 | + | 0.0856494i | ||||
\(911\) | −38.2237 | − | 42.4518i | −1.26641 | − | 1.40649i | −0.873436 | − | 0.486939i | \(-0.838113\pi\) |
−0.392973 | − | 0.919550i | \(-0.628553\pi\) | |||||||
\(912\) | −1.88211 | − | 4.31283i | −0.0623228 | − | 0.142812i | ||||
\(913\) | 36.1894 | − | 26.2937i | 1.19769 | − | 0.870195i | ||||
\(914\) | 3.73747 | + | 6.47348i | 0.123624 | + | 0.214124i | ||||
\(915\) | −1.47599 | − | 2.06344i | −0.0487947 | − | 0.0682153i | ||||
\(916\) | 0.187172 | + | 1.78082i | 0.00618432 | + | 0.0588399i | ||||
\(917\) | −8.37786 | − | 6.08687i | −0.276661 | − | 0.201006i | ||||
\(918\) | 64.5883 | + | 39.2257i | 2.13173 | + | 1.29464i | ||||
\(919\) | 5.12287 | + | 15.7666i | 0.168988 | + | 0.520091i | 0.999308 | − | 0.0371955i | \(-0.0118424\pi\) |
−0.830320 | + | 0.557287i | \(0.811842\pi\) | |||||||
\(920\) | 4.34269 | − | 1.93349i | 0.143174 | − | 0.0637454i | ||||
\(921\) | 0.296280 | − | 40.0654i | 0.00976275 | − | 1.32020i | ||||
\(922\) | −59.9725 | + | 12.7475i | −1.97509 | + | 0.419818i | ||||
\(923\) | −6.15009 | − | 10.6523i | −0.202433 | − | 0.350624i | ||||
\(924\) | −11.5371 | + | 25.4061i | −0.379541 | + | 0.835799i | ||||
\(925\) | 2.07615 | − | 3.59600i | 0.0682634 | − | 0.118236i | ||||
\(926\) | 2.61125 | − | 8.03660i | 0.0858109 | − | 0.264099i | ||||
\(927\) | 3.41066 | − | 28.4028i | 0.112021 | − | 0.932872i | ||||
\(928\) | 10.8784 | + | 7.90359i | 0.357100 | + | 0.259448i | ||||
\(929\) | 7.20288 | + | 1.53102i | 0.236319 | + | 0.0502311i | 0.324549 | − | 0.945869i | \(-0.394788\pi\) |
−0.0882298 | + | 0.996100i | \(0.528121\pi\) | |||||||
\(930\) | 2.44869 | + | 11.9542i | 0.0802958 | + | 0.391993i | ||||
\(931\) | 1.61515 | − | 15.3671i | 0.0529343 | − | 0.503636i | ||||
\(932\) | −32.0720 | − | 14.2794i | −1.05055 | − | 0.467737i | ||||
\(933\) | 14.6205 | − | 32.1953i | 0.478653 | − | 1.05403i | ||||
\(934\) | 21.5376 | − | 37.3043i | 0.704733 | − | 1.22063i | ||||
\(935\) | 5.99776 | − | 2.67045i | 0.196148 | − | 0.0873330i | ||||
\(936\) | −28.4027 | + | 30.6213i | −0.928372 | + | 1.00089i | ||||
\(937\) | 14.6033 | − | 44.9444i | 0.477069 | − | 1.46827i | −0.366077 | − | 0.930584i | \(-0.619299\pi\) |
0.843147 | − | 0.537684i | \(-0.180701\pi\) | |||||||
\(938\) | 3.44213 | + | 32.7496i | 0.112389 | + | 1.06931i | ||||
\(939\) | 12.6841 | − | 57.5773i | 0.413931 | − | 1.87896i | ||||
\(940\) | 5.41225 | − | 6.01091i | 0.176528 | − | 0.196054i | ||||
\(941\) | −37.5574 | + | 41.7118i | −1.22434 | + | 1.35976i | −0.312128 | + | 0.950040i | \(0.601042\pi\) |
−0.912209 | + | 0.409725i | \(0.865625\pi\) | |||||||
\(942\) | −7.75762 | + | 2.45733i | −0.252757 | + | 0.0800642i | ||||
\(943\) | −1.82847 | − | 17.3967i | −0.0595432 | − | 0.566516i | ||||
\(944\) | −3.27233 | + | 10.0712i | −0.106505 | + | 0.327789i | ||||
\(945\) | 2.20573 | + | 0.771186i | 0.0717525 | + | 0.0250867i | ||||
\(946\) | −13.7223 | + | 23.7682i | −0.446149 | + | 0.772772i | ||||
\(947\) | 6.39323 | − | 11.0734i | 0.207752 | − | 0.359837i | −0.743254 | − | 0.669009i | \(-0.766719\pi\) |
0.951006 | + | 0.309172i | \(0.100052\pi\) | |||||||
\(948\) | −11.6698 | − | 16.3144i | −0.379016 | − | 0.529867i | ||||
\(949\) | 16.2633 | + | 7.24091i | 0.527930 | + | 0.235050i | ||||
\(950\) | 3.69502 | − | 35.1558i | 0.119882 | − | 1.14060i | ||||
\(951\) | −35.5286 | + | 31.5175i | −1.15209 | + | 1.02203i | ||||
\(952\) | −28.7386 | − | 6.10858i | −0.931424 | − | 0.197980i | ||||
\(953\) | 18.8480 | + | 13.6939i | 0.610547 | + | 0.443588i | 0.849607 | − | 0.527417i | \(-0.176839\pi\) |
−0.239060 | + | 0.971005i | \(0.576839\pi\) | |||||||
\(954\) | −42.9337 | + | 18.3594i | −1.39003 | + | 0.594408i | ||||
\(955\) | −1.26256 | + | 3.88576i | −0.0408555 | + | 0.125740i | ||||
\(956\) | 16.5067 | − | 28.5904i | 0.533864 | − | 0.924680i | ||||
\(957\) | −15.9605 | − | 5.31648i | −0.515928 | − | 0.171857i | ||||
\(958\) | 0.182825 | + | 0.316662i | 0.00590680 | + | 0.0102309i | ||||
\(959\) | 13.6076 | − | 2.89239i | 0.439413 | − | 0.0934001i | ||||
\(960\) | −5.94448 | + | 3.37369i | −0.191857 | + | 0.108885i | ||||
\(961\) | 54.8540 | − | 24.4226i | 1.76949 | − | 0.787826i | ||||
\(962\) | 2.55995 | + | 7.87872i | 0.0825362 | + | 0.254020i | ||||
\(963\) | 12.6877 | − | 8.93447i | 0.408855 | − | 0.287909i | ||||
\(964\) | 0.772163 | + | 0.561009i | 0.0248697 | + | 0.0180689i | ||||
\(965\) | −0.767170 | − | 7.29913i | −0.0246961 | − | 0.234967i | ||||
\(966\) | −25.7445 | + | 2.51352i | −0.828314 | + | 0.0808712i | ||||
\(967\) | 27.7586 | + | 48.0794i | 0.892657 | + | 1.54613i | 0.836677 | + | 0.547696i | \(0.184495\pi\) |
0.0559798 | + | 0.998432i | \(0.482172\pi\) | |||||||
\(968\) | 24.4157 | + | 27.1153i | 0.784752 | + | 0.871519i | ||||
\(969\) | 19.8932 | − | 26.9591i | 0.639062 | − | 0.866052i | ||||
\(970\) | 2.59742 | + | 2.88473i | 0.0833981 | + | 0.0926230i | ||||
\(971\) | 3.65698 | − | 2.65695i | 0.117358 | − | 0.0852656i | −0.527558 | − | 0.849519i | \(-0.676892\pi\) |
0.644916 | + | 0.764253i | \(0.276892\pi\) | |||||||
\(972\) | 52.8438 | + | 7.53815i | 1.69497 | + | 0.241786i | ||||
\(973\) | 4.15409 | + | 12.7850i | 0.133174 | + | 0.409867i | ||||
\(974\) | −40.8385 | − | 8.68049i | −1.30855 | − | 0.278141i | ||||
\(975\) | −33.9541 | + | 10.7554i | −1.08740 | + | 0.344449i | ||||
\(976\) | 3.70167 | + | 1.64809i | 0.118487 | + | 0.0527540i | ||||
\(977\) | 26.4484 | − | 5.62178i | 0.846159 | − | 0.179857i | 0.235623 | − | 0.971845i | \(-0.424287\pi\) |
0.610537 | + | 0.791988i | \(0.290954\pi\) | |||||||
\(978\) | 2.54994 | + | 5.84317i | 0.0815382 | + | 0.186844i | ||||
\(979\) | 5.98627 | − | 6.64856i | 0.191322 | − | 0.212489i | ||||
\(980\) | 5.41462 | 0.172964 | ||||||||
\(981\) | −43.4253 | − | 0.642286i | −1.38646 | − | 0.0205066i | ||||
\(982\) | 12.5261 | − | 9.10076i | 0.399725 | − | 0.290417i | ||||
\(983\) | 9.71793 | − | 4.32670i | 0.309954 | − | 0.138000i | −0.245864 | − | 0.969304i | \(-0.579072\pi\) |
0.555818 | + | 0.831304i | \(0.312405\pi\) | |||||||
\(984\) | −4.46142 | − | 21.7800i | −0.142225 | − | 0.694322i | ||||
\(985\) | −0.228602 | + | 0.253888i | −0.00728385 | + | 0.00808953i | ||||
\(986\) | 4.45163 | − | 42.3545i | 0.141769 | − | 1.34884i | ||||
\(987\) | −15.9210 | + | 9.03570i | −0.506772 | + | 0.287609i | ||||
\(988\) | 29.7907 | + | 33.0859i | 0.947768 | + | 1.05260i | ||||
\(989\) | −16.0614 | −0.510723 | ||||||||
\(990\) | 4.99584 | − | 5.38619i | 0.158778 | − | 0.171184i | ||||
\(991\) | −18.7938 | −0.597005 | −0.298502 | − | 0.954409i | \(-0.596487\pi\) | ||||
−0.298502 | + | 0.954409i | \(0.596487\pi\) | |||||||
\(992\) | 29.3162 | + | 32.5590i | 0.930792 | + | 1.03375i | ||||
\(993\) | −26.8428 | − | 15.7635i | −0.851831 | − | 0.500240i | ||||
\(994\) | 1.01205 | − | 9.62897i | 0.0321001 | − | 0.305412i | ||||
\(995\) | −3.48541 | + | 3.87094i | −0.110495 | + | 0.122717i | ||||
\(996\) | 75.8938 | + | 25.2814i | 2.40479 | + | 0.801071i | ||||
\(997\) | −23.8686 | + | 10.6270i | −0.755926 | + | 0.336560i | −0.748256 | − | 0.663411i | \(-0.769108\pi\) |
−0.00767052 | + | 0.999971i | \(0.502442\pi\) | |||||||
\(998\) | −63.9637 | + | 46.4723i | −2.02473 | + | 1.47106i | ||||
\(999\) | 2.66683 | − | 3.50438i | 0.0843747 | − | 0.110874i |
(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 | 99.2.m.b.97.9 | yes | 72 | |
3.2 | odd | 2 | 297.2.n.b.262.1 | 72 | |||
9.2 | odd | 6 | 891.2.f.e.163.1 | 36 | |||
9.4 | even | 3 | inner | 99.2.m.b.31.1 | yes | 72 | |
9.5 | odd | 6 | 297.2.n.b.64.9 | 72 | |||
9.7 | even | 3 | 891.2.f.f.163.9 | 36 | |||
11.4 | even | 5 | 1089.2.e.p.727.1 | 36 | |||
11.5 | even | 5 | inner | 99.2.m.b.16.1 | ✓ | 72 | |
11.7 | odd | 10 | 1089.2.e.o.727.18 | 36 | |||
33.5 | odd | 10 | 297.2.n.b.181.9 | 72 | |||
99.4 | even | 15 | 1089.2.e.p.364.1 | 36 | |||
99.5 | odd | 30 | 297.2.n.b.280.1 | 72 | |||
99.7 | odd | 30 | 9801.2.a.co.1.1 | 18 | |||
99.16 | even | 15 | 891.2.f.f.82.9 | 36 | |||
99.29 | even | 30 | 9801.2.a.cn.1.18 | 18 | |||
99.38 | odd | 30 | 891.2.f.e.82.1 | 36 | |||
99.40 | odd | 30 | 1089.2.e.o.364.18 | 36 | |||
99.49 | even | 15 | inner | 99.2.m.b.49.9 | yes | 72 | |
99.70 | even | 15 | 9801.2.a.cm.1.18 | 18 | |||
99.92 | odd | 30 | 9801.2.a.cp.1.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.16.1 | ✓ | 72 | 11.5 | even | 5 | inner | |
99.2.m.b.31.1 | yes | 72 | 9.4 | even | 3 | inner | |
99.2.m.b.49.9 | yes | 72 | 99.49 | even | 15 | inner | |
99.2.m.b.97.9 | yes | 72 | 1.1 | even | 1 | trivial | |
297.2.n.b.64.9 | 72 | 9.5 | odd | 6 | |||
297.2.n.b.181.9 | 72 | 33.5 | odd | 10 | |||
297.2.n.b.262.1 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.280.1 | 72 | 99.5 | odd | 30 | |||
891.2.f.e.82.1 | 36 | 99.38 | odd | 30 | |||
891.2.f.e.163.1 | 36 | 9.2 | odd | 6 | |||
891.2.f.f.82.9 | 36 | 99.16 | even | 15 | |||
891.2.f.f.163.9 | 36 | 9.7 | even | 3 | |||
1089.2.e.o.364.18 | 36 | 99.40 | odd | 30 | |||
1089.2.e.o.727.18 | 36 | 11.7 | odd | 10 | |||
1089.2.e.p.364.1 | 36 | 99.4 | even | 15 | |||
1089.2.e.p.727.1 | 36 | 11.4 | even | 5 | |||
9801.2.a.cm.1.18 | 18 | 99.70 | even | 15 | |||
9801.2.a.cn.1.18 | 18 | 99.29 | even | 30 | |||
9801.2.a.co.1.1 | 18 | 99.7 | odd | 30 | |||
9801.2.a.cp.1.1 | 18 | 99.92 | odd | 30 |