Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(92,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cc (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 92.19 | ||
Character | \(\chi\) | \(=\) | 315.92 |
Dual form | 315.2.cc.a.113.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0573303 | + | 0.213960i | 0.0405387 | + | 0.151292i | 0.983229 | − | 0.182378i | \(-0.0583794\pi\) |
−0.942690 | + | 0.333670i | \(0.891713\pi\) | |||||||
\(3\) | −1.05605 | − | 1.37287i | −0.609711 | − | 0.792624i | ||||
\(4\) | 1.68956 | − | 0.975467i | 0.844779 | − | 0.487734i | ||||
\(5\) | 1.86575 | − | 1.23247i | 0.834387 | − | 0.551179i | ||||
\(6\) | 0.233194 | − | 0.304659i | 0.0952011 | − | 0.124376i | ||||
\(7\) | 0.965926 | − | 0.258819i | 0.365086 | − | 0.0978244i | ||||
\(8\) | 0.618832 | + | 0.618832i | 0.218790 | + | 0.218790i | ||||
\(9\) | −0.769518 | + | 2.89963i | −0.256506 | + | 0.966543i | ||||
\(10\) | 0.370664 | + | 0.328536i | 0.117214 | + | 0.103892i | ||||
\(11\) | 2.09032 | + | 1.20685i | 0.630255 | + | 0.363878i | 0.780851 | − | 0.624718i | \(-0.214786\pi\) |
−0.150596 | + | 0.988595i | \(0.548119\pi\) | |||||||
\(12\) | −3.12344 | − | 1.28939i | −0.901660 | − | 0.372216i | ||||
\(13\) | −3.96308 | − | 1.06190i | −1.09916 | − | 0.294519i | −0.336738 | − | 0.941598i | \(-0.609324\pi\) |
−0.762423 | + | 0.647079i | \(0.775990\pi\) | |||||||
\(14\) | 0.110754 | + | 0.191831i | 0.0296002 | + | 0.0512690i | ||||
\(15\) | −3.66234 | − | 1.25986i | −0.945613 | − | 0.325295i | ||||
\(16\) | 1.85401 | − | 3.21123i | 0.463502 | − | 0.802809i | ||||
\(17\) | −1.21585 | + | 1.21585i | −0.294887 | + | 0.294887i | −0.839007 | − | 0.544120i | \(-0.816864\pi\) |
0.544120 | + | 0.839007i | \(0.316864\pi\) | |||||||
\(18\) | −0.664520 | + | 0.00159073i | −0.156629 | + | 0.000374938i | ||||
\(19\) | − | 5.58574i | − | 1.28146i | −0.767768 | − | 0.640728i | \(-0.778632\pi\) | ||
0.767768 | − | 0.640728i | \(-0.221368\pi\) | |||||||
\(20\) | 1.95005 | − | 3.90231i | 0.436044 | − | 0.872583i | ||||
\(21\) | −1.37539 | − | 1.05276i | −0.300135 | − | 0.229731i | ||||
\(22\) | −0.138378 | + | 0.516433i | −0.0295022 | + | 0.110104i | ||||
\(23\) | −1.58542 | + | 5.91686i | −0.330582 | + | 1.23375i | 0.577997 | + | 0.816039i | \(0.303834\pi\) |
−0.908580 | + | 0.417712i | \(0.862832\pi\) | |||||||
\(24\) | 0.196056 | − | 1.50309i | 0.0400197 | − | 0.306817i | ||||
\(25\) | 1.96201 | − | 4.59897i | 0.392403 | − | 0.919794i | ||||
\(26\) | − | 0.908819i | − | 0.178234i | ||||||
\(27\) | 4.79345 | − | 2.00571i | 0.922499 | − | 0.385998i | ||||
\(28\) | 1.37952 | − | 1.37952i | 0.260705 | − | 0.260705i | ||||
\(29\) | −0.551542 | + | 0.955299i | −0.102419 | + | 0.177395i | −0.912681 | − | 0.408673i | \(-0.865992\pi\) |
0.810262 | + | 0.586068i | \(0.199325\pi\) | |||||||
\(30\) | 0.0595967 | − | 0.855822i | 0.0108808 | − | 0.156251i | ||||
\(31\) | 4.32039 | + | 7.48313i | 0.775965 | + | 1.34401i | 0.934251 | + | 0.356617i | \(0.116070\pi\) |
−0.158286 | + | 0.987393i | \(0.550597\pi\) | |||||||
\(32\) | 2.48405 | + | 0.665599i | 0.439122 | + | 0.117662i | ||||
\(33\) | −0.550643 | − | 4.14422i | −0.0958547 | − | 0.721415i | ||||
\(34\) | −0.329848 | − | 0.190438i | −0.0565685 | − | 0.0326598i | ||||
\(35\) | 1.48318 | − | 1.67337i | 0.250704 | − | 0.282851i | ||||
\(36\) | 1.52835 | + | 5.64973i | 0.254724 | + | 0.941622i | ||||
\(37\) | −4.25538 | − | 4.25538i | −0.699580 | − | 0.699580i | 0.264740 | − | 0.964320i | \(-0.414714\pi\) |
−0.964320 | + | 0.264740i | \(0.914714\pi\) | |||||||
\(38\) | 1.19512 | − | 0.320232i | 0.193875 | − | 0.0519486i | ||||
\(39\) | 2.72736 | + | 6.56220i | 0.436727 | + | 1.05079i | ||||
\(40\) | 1.91728 | + | 0.391889i | 0.303148 | + | 0.0619630i | ||||
\(41\) | −6.77814 | + | 3.91336i | −1.05857 | + | 0.611164i | −0.925036 | − | 0.379880i | \(-0.875965\pi\) |
−0.133532 | + | 0.991045i | \(0.542632\pi\) | |||||||
\(42\) | 0.146397 | − | 0.354633i | 0.0225895 | − | 0.0547211i | ||||
\(43\) | −0.867684 | − | 3.23824i | −0.132321 | − | 0.493827i | 0.867674 | − | 0.497134i | \(-0.165614\pi\) |
−0.999995 | + | 0.00330670i | \(0.998947\pi\) | |||||||
\(44\) | 4.70896 | 0.709902 | ||||||||
\(45\) | 2.13799 | + | 6.35838i | 0.318713 | + | 0.947851i | ||||
\(46\) | −1.35686 | −0.200058 | ||||||||
\(47\) | −1.35770 | − | 5.06702i | −0.198042 | − | 0.739101i | −0.991459 | − | 0.130423i | \(-0.958367\pi\) |
0.793417 | − | 0.608678i | \(-0.208300\pi\) | |||||||
\(48\) | −6.36652 | + | 0.845921i | −0.918927 | + | 0.122098i | ||||
\(49\) | 0.866025 | − | 0.500000i | 0.123718 | − | 0.0714286i | ||||
\(50\) | 1.09648 | + | 0.156131i | 0.155065 | + | 0.0220803i | ||||
\(51\) | 2.95320 | + | 0.385200i | 0.413530 | + | 0.0539389i | ||||
\(52\) | −7.73171 | + | 2.07171i | −1.07220 | + | 0.287294i | ||||
\(53\) | 3.35477 | + | 3.35477i | 0.460813 | + | 0.460813i | 0.898922 | − | 0.438109i | \(-0.144352\pi\) |
−0.438109 | + | 0.898922i | \(0.644352\pi\) | |||||||
\(54\) | 0.703950 | + | 0.910617i | 0.0957955 | + | 0.123919i | ||||
\(55\) | 5.38741 | − | 0.324597i | 0.726438 | − | 0.0437686i | ||||
\(56\) | 0.757912 | + | 0.437581i | 0.101280 | + | 0.0584742i | ||||
\(57\) | −7.66847 | + | 5.89882i | −1.01571 | + | 0.781318i | ||||
\(58\) | −0.236016 | − | 0.0632402i | −0.0309904 | − | 0.00830384i | ||||
\(59\) | 1.40196 | + | 2.42826i | 0.182519 | + | 0.316133i | 0.942738 | − | 0.333535i | \(-0.108241\pi\) |
−0.760218 | + | 0.649667i | \(0.774908\pi\) | |||||||
\(60\) | −7.41670 | + | 1.44388i | −0.957491 | + | 0.186404i | ||||
\(61\) | −0.309791 | + | 0.536573i | −0.0396646 | + | 0.0687012i | −0.885176 | − | 0.465256i | \(-0.845962\pi\) |
0.845512 | + | 0.533957i | \(0.179296\pi\) | |||||||
\(62\) | −1.35340 | + | 1.35340i | −0.171882 | + | 0.171882i | ||||
\(63\) | 0.00718138 | + | 2.99999i | 0.000904768 | + | 0.377963i | ||||
\(64\) | − | 6.84638i | − | 0.855798i | ||||||
\(65\) | −8.70287 | + | 2.90315i | −1.07946 | + | 0.360092i | ||||
\(66\) | 0.855127 | − | 0.355405i | 0.105259 | − | 0.0437473i | ||||
\(67\) | −4.13397 | + | 15.4282i | −0.505045 | + | 1.88485i | −0.0407542 | + | 0.999169i | \(0.512976\pi\) |
−0.464290 | + | 0.885683i | \(0.653691\pi\) | |||||||
\(68\) | −0.868229 | + | 3.24027i | −0.105288 | + | 0.392941i | ||||
\(69\) | 9.79733 | − | 4.07193i | 1.17946 | − | 0.490203i | ||||
\(70\) | 0.443065 | + | 0.221407i | 0.0529564 | + | 0.0264632i | ||||
\(71\) | 16.5772i | 1.96735i | 0.179960 | + | 0.983674i | \(0.442403\pi\) | ||||
−0.179960 | + | 0.983674i | \(0.557597\pi\) | |||||||
\(72\) | −2.27059 | + | 1.31818i | −0.267591 | + | 0.155349i | ||||
\(73\) | −0.642131 | + | 0.642131i | −0.0751557 | + | 0.0751557i | −0.743685 | − | 0.668530i | \(-0.766924\pi\) |
0.668530 | + | 0.743685i | \(0.266924\pi\) | |||||||
\(74\) | 0.666517 | − | 1.15444i | 0.0774811 | − | 0.134201i | ||||
\(75\) | −8.38575 | + | 2.16316i | −0.968303 | + | 0.249780i | ||||
\(76\) | −5.44871 | − | 9.43744i | −0.625010 | − | 1.08255i | ||||
\(77\) | 2.33145 | + | 0.624710i | 0.265693 | + | 0.0711923i | ||||
\(78\) | −1.24769 | + | 0.959758i | −0.141273 | + | 0.108671i | ||||
\(79\) | 10.6181 | + | 6.13038i | 1.19463 | + | 0.689721i | 0.959354 | − | 0.282206i | \(-0.0910663\pi\) |
0.235279 | + | 0.971928i | \(0.424400\pi\) | |||||||
\(80\) | −0.498659 | − | 8.27636i | −0.0557518 | − | 0.925326i | ||||
\(81\) | −7.81568 | − | 4.46263i | −0.868409 | − | 0.495848i | ||||
\(82\) | −1.22589 | − | 1.22589i | −0.135377 | − | 0.135377i | ||||
\(83\) | 9.56030 | − | 2.56167i | 1.04938 | − | 0.281180i | 0.307384 | − | 0.951586i | \(-0.400546\pi\) |
0.741995 | + | 0.670405i | \(0.233880\pi\) | |||||||
\(84\) | −3.35073 | − | 0.437053i | −0.365595 | − | 0.0476864i | ||||
\(85\) | −0.769963 | + | 3.76697i | −0.0835142 | + | 0.408586i | ||||
\(86\) | 0.643108 | − | 0.371299i | 0.0693481 | − | 0.0400382i | ||||
\(87\) | 1.89395 | − | 0.251650i | 0.203053 | − | 0.0269797i | ||||
\(88\) | 0.546722 | + | 2.04039i | 0.0582807 | + | 0.217507i | ||||
\(89\) | 8.40572 | 0.891004 | 0.445502 | − | 0.895281i | \(-0.353025\pi\) | ||||
0.445502 | + | 0.895281i | \(0.353025\pi\) | |||||||
\(90\) | −1.23787 | + | 0.821972i | −0.130482 | + | 0.0866435i | ||||
\(91\) | −4.10288 | −0.430099 | ||||||||
\(92\) | 3.09305 | + | 11.5434i | 0.322472 | + | 1.20348i | ||||
\(93\) | 5.71079 | − | 13.8339i | 0.592181 | − | 1.43451i | ||||
\(94\) | 1.00630 | − | 0.580988i | 0.103792 | − | 0.0599243i | ||||
\(95\) | −6.88428 | − | 10.4216i | −0.706312 | − | 1.06923i | ||||
\(96\) | −1.70950 | − | 4.11317i | −0.174475 | − | 0.419798i | ||||
\(97\) | 1.39759 | − | 0.374484i | 0.141904 | − | 0.0380231i | −0.187168 | − | 0.982328i | \(-0.559931\pi\) |
0.329072 | + | 0.944305i | \(0.393264\pi\) | |||||||
\(98\) | 0.156629 | + | 0.156629i | 0.0158220 | + | 0.0158220i | ||||
\(99\) | −5.10794 | + | 5.13246i | −0.513368 | + | 0.515831i | ||||
\(100\) | −1.17121 | − | 9.68411i | −0.117121 | − | 0.968411i | ||||
\(101\) | −9.14981 | − | 5.28265i | −0.910440 | − | 0.525643i | −0.0298674 | − | 0.999554i | \(-0.509509\pi\) |
−0.880573 | + | 0.473911i | \(0.842842\pi\) | |||||||
\(102\) | 0.0868904 | + | 0.653949i | 0.00860343 | + | 0.0647506i | ||||
\(103\) | −4.73510 | − | 1.26877i | −0.466563 | − | 0.125015i | 0.0178758 | − | 0.999840i | \(-0.494310\pi\) |
−0.484439 | + | 0.874825i | \(0.660976\pi\) | |||||||
\(104\) | −1.79534 | − | 3.10962i | −0.176048 | − | 0.304924i | ||||
\(105\) | −3.86363 | − | 0.269051i | −0.377051 | − | 0.0262566i | ||||
\(106\) | −0.525456 | + | 0.910116i | −0.0510368 | + | 0.0883983i | ||||
\(107\) | 2.10252 | − | 2.10252i | 0.203259 | − | 0.203259i | −0.598136 | − | 0.801395i | \(-0.704092\pi\) |
0.801395 | + | 0.598136i | \(0.204092\pi\) | |||||||
\(108\) | 6.14231 | − | 8.06461i | 0.591044 | − | 0.776017i | ||||
\(109\) | − | 1.93280i | − | 0.185129i | −0.995707 | − | 0.0925644i | \(-0.970494\pi\) | ||
0.995707 | − | 0.0925644i | \(-0.0295064\pi\) | |||||||
\(110\) | 0.378313 | + | 1.13408i | 0.0360707 | + | 0.108130i | ||||
\(111\) | −1.34817 | + | 10.3360i | −0.127963 | + | 0.981045i | ||||
\(112\) | 0.959705 | − | 3.58167i | 0.0906836 | − | 0.338436i | ||||
\(113\) | −0.835339 | + | 3.11753i | −0.0785820 | + | 0.293272i | −0.994022 | − | 0.109183i | \(-0.965176\pi\) |
0.915440 | + | 0.402455i | \(0.131843\pi\) | |||||||
\(114\) | −1.70175 | − | 1.30256i | −0.159383 | − | 0.121996i | ||||
\(115\) | 4.33439 | + | 12.9933i | 0.404184 | + | 1.21164i | ||||
\(116\) | 2.15204i | 0.199812i | ||||||||
\(117\) | 6.12879 | − | 10.6743i | 0.566607 | − | 0.986840i | ||||
\(118\) | −0.439175 | + | 0.439175i | −0.0404294 | + | 0.0404294i | ||||
\(119\) | −0.859736 | + | 1.48911i | −0.0788119 | + | 0.136506i | ||||
\(120\) | −1.48673 | − | 3.04602i | −0.135719 | − | 0.278062i | ||||
\(121\) | −2.58704 | − | 4.48089i | −0.235186 | − | 0.407354i | ||||
\(122\) | −0.132565 | − | 0.0355208i | −0.0120019 | − | 0.00321590i | ||||
\(123\) | 12.5306 | + | 5.17277i | 1.12984 | + | 0.466413i | ||||
\(124\) | 14.5991 | + | 8.42880i | 1.31104 | + | 0.756928i | ||||
\(125\) | −2.00749 | − | 10.9986i | −0.179556 | − | 0.983748i | ||||
\(126\) | −0.641466 | + | 0.173527i | −0.0571463 | + | 0.0154590i | ||||
\(127\) | 7.64856 | + | 7.64856i | 0.678700 | + | 0.678700i | 0.959706 | − | 0.281006i | \(-0.0906681\pi\) |
−0.281006 | + | 0.959706i | \(0.590668\pi\) | |||||||
\(128\) | 6.43295 | − | 1.72370i | 0.568597 | − | 0.152355i | ||||
\(129\) | −3.52935 | + | 4.61095i | −0.310742 | + | 0.405972i | ||||
\(130\) | −1.12010 | − | 1.69563i | −0.0982389 | − | 0.148716i | ||||
\(131\) | 5.75997 | − | 3.32552i | 0.503251 | − | 0.290552i | −0.226804 | − | 0.973940i | \(-0.572828\pi\) |
0.730055 | + | 0.683388i | \(0.239494\pi\) | |||||||
\(132\) | −4.97289 | − | 6.46476i | −0.432835 | − | 0.562685i | ||||
\(133\) | −1.44570 | − | 5.39541i | −0.125358 | − | 0.467841i | ||||
\(134\) | −3.53801 | −0.305638 | ||||||||
\(135\) | 6.47137 | − | 9.64994i | 0.556967 | − | 0.830535i | ||||
\(136\) | −1.50482 | −0.129037 | ||||||||
\(137\) | 2.01885 | + | 7.53445i | 0.172482 | + | 0.643712i | 0.996967 | + | 0.0778276i | \(0.0247984\pi\) |
−0.824485 | + | 0.565884i | \(0.808535\pi\) | |||||||
\(138\) | 1.43291 | + | 1.86279i | 0.121978 | + | 0.158571i | ||||
\(139\) | −6.00656 | + | 3.46789i | −0.509470 | + | 0.294142i | −0.732616 | − | 0.680643i | \(-0.761701\pi\) |
0.223146 | + | 0.974785i | \(0.428367\pi\) | |||||||
\(140\) | 0.873609 | − | 4.27405i | 0.0738335 | − | 0.361223i | ||||
\(141\) | −5.52253 | + | 7.21497i | −0.465081 | + | 0.607610i | ||||
\(142\) | −3.54685 | + | 0.950375i | −0.297645 | + | 0.0797537i | ||||
\(143\) | −7.00255 | − | 7.00255i | −0.585582 | − | 0.585582i | ||||
\(144\) | 7.88469 | + | 7.84703i | 0.657058 | + | 0.653920i | ||||
\(145\) | 0.148344 | + | 2.46211i | 0.0123193 | + | 0.204467i | ||||
\(146\) | −0.174204 | − | 0.100577i | −0.0144172 | − | 0.00832377i | ||||
\(147\) | −1.60100 | − | 0.660911i | −0.132048 | − | 0.0545111i | ||||
\(148\) | −11.3407 | − | 3.03873i | −0.932199 | − | 0.249782i | ||||
\(149\) | −7.67726 | − | 13.2974i | −0.628946 | − | 1.08937i | −0.987764 | − | 0.155958i | \(-0.950153\pi\) |
0.358818 | − | 0.933408i | \(-0.383180\pi\) | |||||||
\(150\) | −0.943587 | − | 1.67020i | −0.0770435 | − | 0.136371i | ||||
\(151\) | 8.47154 | − | 14.6731i | 0.689404 | − | 1.19408i | −0.282627 | − | 0.959230i | \(-0.591206\pi\) |
0.972031 | − | 0.234853i | \(-0.0754609\pi\) | |||||||
\(152\) | 3.45664 | − | 3.45664i | 0.280370 | − | 0.280370i | ||||
\(153\) | −2.58990 | − | 4.46113i | −0.209381 | − | 0.360661i | ||||
\(154\) | 0.534651i | 0.0430834i | ||||||||
\(155\) | 17.2835 | + | 8.63685i | 1.38825 | + | 0.693729i | ||||
\(156\) | 11.0092 | + | 8.42677i | 0.881445 | + | 0.674682i | ||||
\(157\) | −3.95091 | + | 14.7450i | −0.315317 | + | 1.17678i | 0.608377 | + | 0.793648i | \(0.291821\pi\) |
−0.923694 | + | 0.383131i | \(0.874846\pi\) | |||||||
\(158\) | −0.702913 | + | 2.62331i | −0.0559208 | + | 0.208699i | ||||
\(159\) | 1.06284 | − | 8.14845i | 0.0842890 | − | 0.646214i | ||||
\(160\) | 5.45493 | − | 1.81969i | 0.431250 | − | 0.143859i | ||||
\(161\) | 6.12558i | 0.482764i | ||||||||
\(162\) | 0.506748 | − | 1.92809i | 0.0398139 | − | 0.151485i | ||||
\(163\) | 7.87805 | − | 7.87805i | 0.617057 | − | 0.617057i | −0.327719 | − | 0.944775i | \(-0.606280\pi\) |
0.944775 | + | 0.327719i | \(0.106280\pi\) | |||||||
\(164\) | −7.63471 | + | 13.2237i | −0.596171 | + | 1.03260i | ||||
\(165\) | −6.13500 | − | 7.05340i | −0.477609 | − | 0.549106i | ||||
\(166\) | 1.09619 | + | 1.89866i | 0.0850809 | + | 0.147364i | ||||
\(167\) | 14.7429 | + | 3.95035i | 1.14084 | + | 0.305687i | 0.779289 | − | 0.626665i | \(-0.215581\pi\) |
0.361551 | + | 0.932352i | \(0.382247\pi\) | |||||||
\(168\) | −0.199653 | − | 1.50262i | −0.0154036 | − | 0.115929i | ||||
\(169\) | 3.32004 | + | 1.91682i | 0.255388 | + | 0.147448i | ||||
\(170\) | −0.850123 | + | 0.0512207i | −0.0652014 | + | 0.00392845i | ||||
\(171\) | 16.1966 | + | 4.29833i | 1.23858 | + | 0.328701i | ||||
\(172\) | −4.62480 | − | 4.62480i | −0.352638 | − | 0.352638i | ||||
\(173\) | −22.9969 | + | 6.16200i | −1.74842 | + | 0.468488i | −0.984288 | − | 0.176570i | \(-0.943500\pi\) |
−0.764133 | + | 0.645058i | \(0.776833\pi\) | |||||||
\(174\) | 0.162424 | + | 0.390802i | 0.0123133 | + | 0.0296267i | ||||
\(175\) | 0.704859 | − | 4.95007i | 0.0532823 | − | 0.374190i | ||||
\(176\) | 7.75093 | − | 4.47500i | 0.584248 | − | 0.337316i | ||||
\(177\) | 1.85314 | − | 4.48906i | 0.139290 | − | 0.337419i | ||||
\(178\) | 0.481903 | + | 1.79849i | 0.0361201 | + | 0.134802i | ||||
\(179\) | −16.8068 | −1.25620 | −0.628101 | − | 0.778132i | \(-0.716167\pi\) | ||||
−0.628101 | + | 0.778132i | \(0.716167\pi\) | |||||||
\(180\) | 9.81465 | + | 8.65731i | 0.731541 | + | 0.645278i | ||||
\(181\) | 2.26580 | 0.168416 | 0.0842080 | − | 0.996448i | \(-0.473164\pi\) | ||||
0.0842080 | + | 0.996448i | \(0.473164\pi\) | |||||||
\(182\) | −0.235220 | − | 0.877852i | −0.0174356 | − | 0.0650707i | ||||
\(183\) | 1.06380 | − | 0.141347i | 0.0786381 | − | 0.0104487i | ||||
\(184\) | −4.64265 | + | 2.68044i | −0.342261 | + | 0.197604i | ||||
\(185\) | −13.1841 | − | 2.69481i | −0.969314 | − | 0.198126i | ||||
\(186\) | 3.28729 | + | 0.428778i | 0.241036 | + | 0.0314395i | ||||
\(187\) | −4.00886 | + | 1.07417i | −0.293157 | + | 0.0785512i | ||||
\(188\) | −7.23663 | − | 7.23663i | −0.527786 | − | 0.527786i | ||||
\(189\) | 4.11100 | − | 3.17800i | 0.299031 | − | 0.231165i | ||||
\(190\) | 1.83512 | − | 2.07043i | 0.133133 | − | 0.150205i | ||||
\(191\) | −22.2399 | − | 12.8402i | −1.60922 | − | 0.929086i | −0.989544 | − | 0.144230i | \(-0.953929\pi\) |
−0.619679 | − | 0.784855i | \(-0.712737\pi\) | |||||||
\(192\) | −9.39916 | + | 7.23012i | −0.678326 | + | 0.521789i | ||||
\(193\) | −4.31078 | − | 1.15507i | −0.310296 | − | 0.0831437i | 0.100310 | − | 0.994956i | \(-0.468016\pi\) |
−0.410607 | + | 0.911813i | \(0.634683\pi\) | |||||||
\(194\) | 0.160249 | + | 0.277559i | 0.0115052 | + | 0.0199276i | ||||
\(195\) | 13.1763 | + | 8.88200i | 0.943575 | + | 0.636053i | ||||
\(196\) | 0.975467 | − | 1.68956i | 0.0696762 | − | 0.120683i | ||||
\(197\) | 14.3209 | − | 14.3209i | 1.02032 | − | 1.02032i | 0.0205332 | − | 0.999789i | \(-0.493464\pi\) |
0.999789 | − | 0.0205332i | \(-0.00653638\pi\) | |||||||
\(198\) | −1.39098 | − | 0.798649i | −0.0988526 | − | 0.0567575i | ||||
\(199\) | 3.13470i | 0.222213i | 0.993808 | + | 0.111107i | \(0.0354395\pi\) | ||||
−0.993808 | + | 0.111107i | \(0.964561\pi\) | |||||||
\(200\) | 4.06015 | − | 1.63183i | 0.287096 | − | 0.115388i | ||||
\(201\) | 25.5465 | − | 10.6175i | 1.80191 | − | 0.748904i | ||||
\(202\) | 0.605712 | − | 2.26055i | 0.0426177 | − | 0.159052i | ||||
\(203\) | −0.285499 | + | 1.06550i | −0.0200381 | + | 0.0747833i | ||||
\(204\) | 5.36535 | − | 2.22993i | 0.375650 | − | 0.156126i | ||||
\(205\) | −7.82316 | + | 15.6552i | −0.546393 | + | 1.09341i | ||||
\(206\) | − | 1.08586i | − | 0.0756554i | ||||||
\(207\) | −15.9367 | − | 9.15025i | −1.10768 | − | 0.635986i | ||||
\(208\) | −10.7576 | + | 10.7576i | −0.745906 | + | 0.745906i | ||||
\(209\) | 6.74113 | − | 11.6760i | 0.466294 | − | 0.807644i | ||||
\(210\) | −0.163937 | − | 0.842085i | −0.0113127 | − | 0.0581094i | ||||
\(211\) | −5.14418 | − | 8.90999i | −0.354140 | − | 0.613389i | 0.632830 | − | 0.774291i | \(-0.281893\pi\) |
−0.986970 | + | 0.160902i | \(0.948560\pi\) | |||||||
\(212\) | 8.94055 | + | 2.39561i | 0.614040 | + | 0.164531i | ||||
\(213\) | 22.7582 | − | 17.5063i | 1.55937 | − | 1.19951i | ||||
\(214\) | 0.570394 | + | 0.329317i | 0.0389913 | + | 0.0225116i | ||||
\(215\) | −5.60992 | − | 4.97233i | −0.382594 | − | 0.339110i | ||||
\(216\) | 4.20754 | + | 1.72515i | 0.286287 | + | 0.117381i | ||||
\(217\) | 6.10995 | + | 6.10995i | 0.414771 | + | 0.414771i | ||||
\(218\) | 0.413542 | − | 0.110808i | 0.0280086 | − | 0.00750488i | ||||
\(219\) | 1.55968 | + | 0.203437i | 0.105393 | + | 0.0137470i | ||||
\(220\) | 8.78571 | − | 5.80367i | 0.592333 | − | 0.391283i | ||||
\(221\) | 6.10963 | − | 3.52740i | 0.410978 | − | 0.237278i | ||||
\(222\) | −2.28877 | + | 0.304109i | −0.153612 | + | 0.0204105i | ||||
\(223\) | 1.06153 | + | 3.96168i | 0.0710851 | + | 0.265293i | 0.992317 | − | 0.123720i | \(-0.0394826\pi\) |
−0.921232 | + | 0.389014i | \(0.872816\pi\) | |||||||
\(224\) | 2.57168 | 0.171827 | ||||||||
\(225\) | 11.8255 | + | 9.22810i | 0.788366 | + | 0.615207i | ||||
\(226\) | −0.714915 | −0.0475555 | ||||||||
\(227\) | −6.66140 | − | 24.8607i | −0.442132 | − | 1.65006i | −0.723399 | − | 0.690431i | \(-0.757421\pi\) |
0.281266 | − | 0.959630i | \(-0.409246\pi\) | |||||||
\(228\) | −7.20222 | + | 17.4467i | −0.476979 | + | 1.15544i | ||||
\(229\) | 3.31073 | − | 1.91145i | 0.218779 | − | 0.126312i | −0.386606 | − | 0.922245i | \(-0.626352\pi\) |
0.605385 | + | 0.795933i | \(0.293019\pi\) | |||||||
\(230\) | −2.53156 | + | 1.67230i | −0.166926 | + | 0.110268i | ||||
\(231\) | −1.60448 | − | 3.86049i | −0.105567 | − | 0.254001i | ||||
\(232\) | −0.932482 | + | 0.249858i | −0.0612205 | + | 0.0164040i | ||||
\(233\) | −11.7144 | − | 11.7144i | −0.767433 | − | 0.767433i | 0.210221 | − | 0.977654i | \(-0.432582\pi\) |
−0.977654 | + | 0.210221i | \(0.932582\pi\) | |||||||
\(234\) | 2.63524 | + | 0.699353i | 0.172271 | + | 0.0457181i | ||||
\(235\) | −8.77811 | − | 7.78044i | −0.572620 | − | 0.507540i | ||||
\(236\) | 4.73738 | + | 2.73513i | 0.308377 | + | 0.178042i | ||||
\(237\) | −2.79709 | − | 21.0512i | −0.181690 | − | 1.36743i | ||||
\(238\) | −0.367898 | − | 0.0985779i | −0.0238473 | − | 0.00638986i | ||||
\(239\) | −11.0621 | − | 19.1601i | −0.715548 | − | 1.23937i | −0.962748 | − | 0.270401i | \(-0.912844\pi\) |
0.247200 | − | 0.968964i | \(-0.420490\pi\) | |||||||
\(240\) | −10.8357 | + | 9.42484i | −0.699443 | + | 0.608371i | ||||
\(241\) | −12.3545 | + | 21.3986i | −0.795822 | + | 1.37840i | 0.126495 | + | 0.991967i | \(0.459627\pi\) |
−0.922316 | + | 0.386436i | \(0.873706\pi\) | |||||||
\(242\) | 0.810414 | − | 0.810414i | 0.0520954 | − | 0.0520954i | ||||
\(243\) | 2.12716 | + | 15.4426i | 0.136457 | + | 0.990646i | ||||
\(244\) | 1.20876i | 0.0773831i | ||||||||
\(245\) | 0.999546 | − | 2.00023i | 0.0638586 | − | 0.127790i | ||||
\(246\) | −0.388382 | + | 2.97759i | −0.0247624 | + | 0.189844i | ||||
\(247\) | −5.93152 | + | 22.1367i | −0.377414 | + | 1.40853i | ||||
\(248\) | −1.95721 | + | 7.30440i | −0.124283 | + | 0.463830i | ||||
\(249\) | −13.6130 | − | 10.4197i | −0.862688 | − | 0.660325i | ||||
\(250\) | 2.23817 | − | 1.06008i | 0.141555 | − | 0.0670452i | ||||
\(251\) | 20.9686i | 1.32353i | 0.749712 | + | 0.661764i | \(0.230192\pi\) | ||||
−0.749712 | + | 0.661764i | \(0.769808\pi\) | |||||||
\(252\) | 2.93853 | + | 5.06166i | 0.185110 | + | 0.318854i | ||||
\(253\) | −10.4548 | + | 10.4548i | −0.657286 | + | 0.657286i | ||||
\(254\) | −1.19799 | + | 2.07498i | −0.0751686 | + | 0.130196i | ||||
\(255\) | 5.98467 | − | 2.92105i | 0.374774 | − | 0.182924i | ||||
\(256\) | −6.10878 | − | 10.5807i | −0.381799 | − | 0.661295i | ||||
\(257\) | −8.42379 | − | 2.25715i | −0.525461 | − | 0.140797i | −0.0136697 | − | 0.999907i | \(-0.504351\pi\) |
−0.511792 | + | 0.859110i | \(0.671018\pi\) | |||||||
\(258\) | −1.18890 | − | 0.490791i | −0.0740175 | − | 0.0305553i | ||||
\(259\) | −5.21175 | − | 3.00901i | −0.323843 | − | 0.186971i | ||||
\(260\) | −11.8721 | + | 13.3944i | −0.736275 | + | 0.830686i | ||||
\(261\) | −2.34559 | − | 2.33439i | −0.145188 | − | 0.144495i | ||||
\(262\) | 1.04175 | + | 1.04175i | 0.0643595 | + | 0.0643595i | ||||
\(263\) | 18.9629 | − | 5.08109i | 1.16930 | − | 0.313313i | 0.378627 | − | 0.925550i | \(-0.376396\pi\) |
0.790675 | + | 0.612236i | \(0.209730\pi\) | |||||||
\(264\) | 2.22382 | − | 2.90533i | 0.136867 | − | 0.178811i | ||||
\(265\) | 10.3938 | + | 2.12448i | 0.638487 | + | 0.130506i | ||||
\(266\) | 1.07152 | − | 0.618641i | 0.0656990 | − | 0.0379313i | ||||
\(267\) | −8.87686 | − | 11.5399i | −0.543255 | − | 0.706232i | ||||
\(268\) | 8.06510 | + | 30.0994i | 0.492654 | + | 1.83861i | ||||
\(269\) | −17.0169 | −1.03754 | −0.518770 | − | 0.854914i | \(-0.673610\pi\) | ||||
−0.518770 | + | 0.854914i | \(0.673610\pi\) | |||||||
\(270\) | 2.43570 | + | 0.831379i | 0.148232 | + | 0.0505961i | ||||
\(271\) | −18.1080 | −1.09998 | −0.549991 | − | 0.835171i | \(-0.685369\pi\) | ||||
−0.549991 | + | 0.835171i | \(0.685369\pi\) | |||||||
\(272\) | 1.65019 | + | 6.15858i | 0.100057 | + | 0.373419i | ||||
\(273\) | 4.33285 | + | 5.63271i | 0.262236 | + | 0.340907i | ||||
\(274\) | −1.49633 | + | 0.863905i | −0.0903965 | + | 0.0521904i | ||||
\(275\) | 9.65148 | − | 7.24546i | 0.582006 | − | 0.436918i | ||||
\(276\) | 12.5811 | − | 16.4367i | 0.757295 | − | 0.989376i | ||||
\(277\) | 21.9777 | − | 5.88891i | 1.32051 | − | 0.353830i | 0.471343 | − | 0.881950i | \(-0.343770\pi\) |
0.849170 | + | 0.528120i | \(0.177103\pi\) | |||||||
\(278\) | −1.08635 | − | 1.08635i | −0.0651547 | − | 0.0651547i | ||||
\(279\) | −25.0229 | + | 6.76911i | −1.49808 | + | 0.405256i | ||||
\(280\) | 1.95338 | − | 0.117693i | 0.116737 | − | 0.00703350i | ||||
\(281\) | −7.89538 | − | 4.55840i | −0.470999 | − | 0.271931i | 0.245659 | − | 0.969356i | \(-0.420996\pi\) |
−0.716658 | + | 0.697425i | \(0.754329\pi\) | |||||||
\(282\) | −1.86032 | − | 0.767963i | −0.110781 | − | 0.0457315i | ||||
\(283\) | 19.2332 | + | 5.15353i | 1.14330 | + | 0.306345i | 0.780276 | − | 0.625435i | \(-0.215079\pi\) |
0.363021 | + | 0.931781i | \(0.381745\pi\) | |||||||
\(284\) | 16.1705 | + | 28.0081i | 0.959542 | + | 1.66197i | ||||
\(285\) | −7.03727 | + | 20.4569i | −0.416852 | + | 1.21176i | ||||
\(286\) | 1.09680 | − | 1.89972i | 0.0648554 | − | 0.112333i | ||||
\(287\) | −5.53433 | + | 5.53433i | −0.326681 | + | 0.326681i | ||||
\(288\) | −3.84151 | + | 6.69062i | −0.226363 | + | 0.394249i | ||||
\(289\) | 14.0434i | 0.826083i | ||||||||
\(290\) | −0.518287 | + | 0.172893i | −0.0304349 | + | 0.0101526i | ||||
\(291\) | −1.99004 | − | 1.52323i | −0.116658 | − | 0.0892935i | ||||
\(292\) | −0.458540 | + | 1.71129i | −0.0268340 | + | 0.100146i | ||||
\(293\) | −3.11371 | + | 11.6205i | −0.181905 | + | 0.678879i | 0.813367 | + | 0.581751i | \(0.197632\pi\) |
−0.995272 | + | 0.0971278i | \(0.969034\pi\) | |||||||
\(294\) | 0.0496226 | − | 0.380439i | 0.00289405 | − | 0.0221877i | ||||
\(295\) | 5.60847 | + | 2.80264i | 0.326538 | + | 0.163176i | ||||
\(296\) | − | 5.26673i | − | 0.306123i | ||||||
\(297\) | 12.4404 | + | 1.59239i | 0.721866 | + | 0.0923998i | ||||
\(298\) | 2.40497 | − | 2.40497i | 0.139316 | − | 0.139316i | ||||
\(299\) | 12.5663 | − | 21.7654i | 0.726726 | − | 1.25873i | ||||
\(300\) | −12.0581 | + | 11.8348i | −0.696176 | + | 0.683283i | ||||
\(301\) | −1.67624 | − | 2.90333i | −0.0966166 | − | 0.167345i | ||||
\(302\) | 3.62514 | + | 0.971353i | 0.208603 | + | 0.0558951i | ||||
\(303\) | 2.41029 | + | 18.1402i | 0.138468 | + | 1.04213i | ||||
\(304\) | −17.9371 | − | 10.3560i | −1.02876 | − | 0.593957i | ||||
\(305\) | 0.0833222 | + | 1.38292i | 0.00477102 | + | 0.0791857i | ||||
\(306\) | 0.806023 | − | 0.809892i | 0.0460773 | − | 0.0462984i | ||||
\(307\) | −9.89052 | − | 9.89052i | −0.564482 | − | 0.564482i | 0.366095 | − | 0.930577i | \(-0.380694\pi\) |
−0.930577 | + | 0.366095i | \(0.880694\pi\) | |||||||
\(308\) | 4.54850 | − | 1.21877i | 0.259175 | − | 0.0694457i | ||||
\(309\) | 3.25866 | + | 7.84054i | 0.185378 | + | 0.446033i | ||||
\(310\) | −0.857069 | + | 4.19313i | −0.0486783 | + | 0.238154i | ||||
\(311\) | −8.52730 | + | 4.92324i | −0.483539 | + | 0.279171i | −0.721890 | − | 0.692008i | \(-0.756726\pi\) |
0.238351 | + | 0.971179i | \(0.423393\pi\) | |||||||
\(312\) | −2.37312 | + | 5.74868i | −0.134352 | + | 0.325455i | ||||
\(313\) | −7.18679 | − | 26.8215i | −0.406221 | − | 1.51604i | −0.801792 | − | 0.597603i | \(-0.796120\pi\) |
0.395570 | − | 0.918436i | \(-0.370547\pi\) | |||||||
\(314\) | −3.38134 | −0.190820 | ||||||||
\(315\) | 3.71081 | + | 5.58837i | 0.209081 | + | 0.314869i | ||||
\(316\) | 23.9199 | 1.34560 | ||||||||
\(317\) | 4.20490 | + | 15.6929i | 0.236171 | + | 0.881402i | 0.977618 | + | 0.210390i | \(0.0674734\pi\) |
−0.741447 | + | 0.671012i | \(0.765860\pi\) | |||||||
\(318\) | 1.80437 | − | 0.239748i | 0.101184 | − | 0.0134444i | ||||
\(319\) | −2.30580 | + | 1.33125i | −0.129100 | + | 0.0745359i | ||||
\(320\) | −8.43799 | − | 12.7736i | −0.471698 | − | 0.714066i | ||||
\(321\) | −5.10685 | − | 0.666112i | −0.285037 | − | 0.0371788i | ||||
\(322\) | −1.31063 | + | 0.351182i | −0.0730384 | + | 0.0195706i | ||||
\(323\) | 6.79143 | + | 6.79143i | 0.377885 | + | 0.377885i | ||||
\(324\) | −17.5582 | + | 0.0840621i | −0.975456 | + | 0.00467012i | ||||
\(325\) | −12.6593 | + | 16.1426i | −0.702211 | + | 0.895431i | ||||
\(326\) | 2.13724 | + | 1.23393i | 0.118371 | + | 0.0683413i | ||||
\(327\) | −2.65348 | + | 2.04113i | −0.146738 | + | 0.112875i | ||||
\(328\) | −6.61625 | − | 1.77282i | −0.365321 | − | 0.0978875i | ||||
\(329\) | −2.62288 | − | 4.54297i | −0.144604 | − | 0.250462i | ||||
\(330\) | 1.15742 | − | 1.71702i | 0.0637140 | − | 0.0945187i | ||||
\(331\) | 0.258873 | − | 0.448382i | 0.0142290 | − | 0.0246453i | −0.858823 | − | 0.512272i | \(-0.828804\pi\) |
0.873052 | + | 0.487627i | \(0.162137\pi\) | |||||||
\(332\) | 13.6539 | − | 13.6539i | 0.749353 | − | 0.749353i | ||||
\(333\) | 15.6136 | − | 9.06442i | 0.855620 | − | 0.496727i | ||||
\(334\) | 3.38086i | 0.184993i | ||||||||
\(335\) | 11.3019 | + | 33.8801i | 0.617489 | + | 1.85107i | ||||
\(336\) | −5.93064 | + | 2.46487i | −0.323543 | + | 0.134470i | ||||
\(337\) | 0.620652 | − | 2.31630i | 0.0338091 | − | 0.126177i | −0.946959 | − | 0.321355i | \(-0.895862\pi\) |
0.980768 | + | 0.195178i | \(0.0625284\pi\) | |||||||
\(338\) | −0.219784 | + | 0.820247i | −0.0119547 | + | 0.0446155i | ||||
\(339\) | 5.16210 | − | 2.14545i | 0.280367 | − | 0.116525i | ||||
\(340\) | 2.37366 | + | 7.11560i | 0.128730 | + | 0.385897i | ||||
\(341\) | 20.8562i | 1.12943i | ||||||||
\(342\) | 0.00888539 | + | 3.71184i | 0.000480467 | + | 0.200713i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | 1.46698 | − | 2.54088i | 0.0790941 | − | 0.136995i | ||||
\(345\) | 13.2608 | − | 19.6721i | 0.713936 | − | 1.05911i | ||||
\(346\) | −2.63684 | − | 4.56714i | −0.141757 | − | 0.245531i | ||||
\(347\) | −5.27145 | − | 1.41248i | −0.282986 | − | 0.0758259i | 0.114534 | − | 0.993419i | \(-0.463462\pi\) |
−0.397520 | + | 0.917593i | \(0.630129\pi\) | |||||||
\(348\) | 2.95447 | − | 2.27267i | 0.158376 | − | 0.121828i | ||||
\(349\) | 12.3075 | + | 7.10573i | 0.658805 | + | 0.380361i | 0.791821 | − | 0.610753i | \(-0.209133\pi\) |
−0.133017 | + | 0.991114i | \(0.542466\pi\) | |||||||
\(350\) | 1.09953 | − | 0.132978i | 0.0587721 | − | 0.00710796i | ||||
\(351\) | −21.1267 | + | 2.85859i | −1.12766 | + | 0.152580i | ||||
\(352\) | 4.38918 | + | 4.38918i | 0.233944 | + | 0.233944i | ||||
\(353\) | −28.2771 | + | 7.57684i | −1.50504 | + | 0.403274i | −0.914785 | − | 0.403942i | \(-0.867640\pi\) |
−0.590256 | + | 0.807216i | \(0.700973\pi\) | |||||||
\(354\) | 1.06672 | + | 0.139138i | 0.0566955 | + | 0.00739508i | ||||
\(355\) | 20.4309 | + | 30.9288i | 1.08436 | + | 1.64153i | ||||
\(356\) | 14.2020 | − | 8.19950i | 0.752702 | − | 0.434573i | ||||
\(357\) | 2.95227 | − | 0.392269i | 0.156251 | − | 0.0207611i | ||||
\(358\) | −0.963541 | − | 3.59598i | −0.0509247 | − | 0.190054i | ||||
\(359\) | −1.55204 | −0.0819134 | −0.0409567 | − | 0.999161i | \(-0.513041\pi\) | ||||
−0.0409567 | + | 0.999161i | \(0.513041\pi\) | |||||||
\(360\) | −2.61171 | + | 5.25783i | −0.137649 | + | 0.277112i | ||||
\(361\) | −12.2005 | −0.642131 | ||||||||
\(362\) | 0.129899 | + | 0.484791i | 0.00682736 | + | 0.0254800i | ||||
\(363\) | −3.41961 | + | 8.28371i | −0.179483 | + | 0.434782i | ||||
\(364\) | −6.93206 | + | 4.00223i | −0.363339 | + | 0.209774i | ||||
\(365\) | −0.406643 | + | 1.98946i | −0.0212847 | + | 0.104133i | ||||
\(366\) | 0.0912304 | + | 0.219506i | 0.00476869 | + | 0.0114738i | ||||
\(367\) | 6.79574 | − | 1.82091i | 0.354735 | − | 0.0950509i | −0.0770509 | − | 0.997027i | \(-0.524550\pi\) |
0.431786 | + | 0.901976i | \(0.357884\pi\) | |||||||
\(368\) | 16.0610 | + | 16.0610i | 0.837240 | + | 0.837240i | ||||
\(369\) | −6.13139 | − | 22.6655i | −0.319187 | − | 1.17992i | ||||
\(370\) | −0.179268 | − | 2.97536i | −0.00931972 | − | 0.154682i | ||||
\(371\) | 4.10874 | + | 2.37218i | 0.213315 | + | 0.123158i | ||||
\(372\) | −3.84578 | − | 28.9438i | −0.199394 | − | 1.50067i | ||||
\(373\) | 6.61758 | + | 1.77317i | 0.342645 | + | 0.0918115i | 0.426038 | − | 0.904705i | \(-0.359909\pi\) |
−0.0833928 | + | 0.996517i | \(0.526576\pi\) | |||||||
\(374\) | −0.459659 | − | 0.796152i | −0.0237684 | − | 0.0411680i | ||||
\(375\) | −12.9796 | + | 14.3711i | −0.670265 | + | 0.742122i | ||||
\(376\) | 2.29545 | − | 3.97583i | 0.118379 | − | 0.205038i | ||||
\(377\) | 3.20024 | − | 3.20024i | 0.164821 | − | 0.164821i | ||||
\(378\) | 0.915649 | + | 0.697393i | 0.0470959 | + | 0.0358700i | ||||
\(379\) | − | 28.3518i | − | 1.45633i | −0.685400 | − | 0.728166i | \(-0.740373\pi\) | ||
0.685400 | − | 0.728166i | \(-0.259627\pi\) | |||||||
\(380\) | −21.7973 | − | 10.8925i | −1.11818 | − | 0.558772i | ||||
\(381\) | 2.42318 | − | 18.5777i | 0.124143 | − | 0.951765i | ||||
\(382\) | 1.47227 | − | 5.49458i | 0.0753278 | − | 0.281127i | ||||
\(383\) | −4.48353 | + | 16.7328i | −0.229098 | + | 0.855004i | 0.751624 | + | 0.659592i | \(0.229271\pi\) |
−0.980721 | + | 0.195412i | \(0.937396\pi\) | |||||||
\(384\) | −9.15992 | − | 7.01125i | −0.467440 | − | 0.357791i | ||||
\(385\) | 5.11983 | − | 1.70790i | 0.260931 | − | 0.0870427i | ||||
\(386\) | − | 0.988553i | − | 0.0503160i | ||||||
\(387\) | 10.0574 | − | 0.0240754i | 0.511246 | − | 0.00122382i | ||||
\(388\) | 1.99602 | − | 1.99602i | 0.101332 | − | 0.101332i | ||||
\(389\) | −0.482813 | + | 0.836256i | −0.0244796 | + | 0.0423999i | −0.878006 | − | 0.478650i | \(-0.841126\pi\) |
0.853526 | + | 0.521050i | \(0.174460\pi\) | |||||||
\(390\) | −1.14499 | + | 3.32841i | −0.0579787 | + | 0.168540i | ||||
\(391\) | −5.26639 | − | 9.12165i | −0.266333 | − | 0.461302i | ||||
\(392\) | 0.845341 | + | 0.226508i | 0.0426962 | + | 0.0114404i | ||||
\(393\) | −10.6483 | − | 4.39575i | −0.537136 | − | 0.221736i | ||||
\(394\) | 3.88512 | + | 2.24308i | 0.195730 | + | 0.113004i | ||||
\(395\) | 27.3663 | − | 1.64884i | 1.37695 | − | 0.0829624i | ||||
\(396\) | −3.62363 | + | 13.6542i | −0.182094 | + | 0.686150i | ||||
\(397\) | −6.76864 | − | 6.76864i | −0.339708 | − | 0.339708i | 0.516549 | − | 0.856258i | \(-0.327216\pi\) |
−0.856258 | + | 0.516549i | \(0.827216\pi\) | |||||||
\(398\) | −0.670700 | + | 0.179714i | −0.0336192 | + | 0.00900822i | ||||
\(399\) | −5.88045 | + | 7.68257i | −0.294390 | + | 0.384609i | ||||
\(400\) | −11.1308 | − | 14.8270i | −0.556539 | − | 0.741350i | ||||
\(401\) | −10.0860 | + | 5.82314i | −0.503670 | + | 0.290794i | −0.730228 | − | 0.683204i | \(-0.760586\pi\) |
0.226558 | + | 0.973998i | \(0.427253\pi\) | |||||||
\(402\) | 3.73632 | + | 4.85721i | 0.186350 | + | 0.242256i | ||||
\(403\) | −9.17568 | − | 34.2441i | −0.457073 | − | 1.70582i | ||||
\(404\) | −20.6122 | −1.02549 | ||||||||
\(405\) | −20.0822 | + | 1.30649i | −0.997890 | + | 0.0649201i | ||||
\(406\) | −0.244341 | −0.0121265 | ||||||||
\(407\) | −3.75951 | − | 14.0307i | −0.186352 | − | 0.695475i | ||||
\(408\) | 1.58916 | + | 2.06591i | 0.0786751 | + | 0.102278i | ||||
\(409\) | 27.1233 | − | 15.6597i | 1.34116 | − | 0.774321i | 0.354185 | − | 0.935176i | \(-0.384758\pi\) |
0.986978 | + | 0.160855i | \(0.0514252\pi\) | |||||||
\(410\) | −3.79809 | − | 0.776323i | −0.187574 | − | 0.0383399i | ||||
\(411\) | 8.21178 | − | 10.7284i | 0.405057 | − | 0.529191i | ||||
\(412\) | −9.23787 | + | 2.47528i | −0.455117 | + | 0.121948i | ||||
\(413\) | 1.98267 | + | 1.98267i | 0.0975607 | + | 0.0975607i | ||||
\(414\) | 1.04413 | − | 3.93439i | 0.0513162 | − | 0.193365i | ||||
\(415\) | 14.6799 | − | 16.5623i | 0.720607 | − | 0.813009i | ||||
\(416\) | −9.13768 | − | 5.27564i | −0.448012 | − | 0.258660i | ||||
\(417\) | 11.1042 | + | 4.58393i | 0.543773 | + | 0.224476i | ||||
\(418\) | 2.88466 | + | 0.772942i | 0.141093 | + | 0.0378059i | ||||
\(419\) | 5.97779 | + | 10.3538i | 0.292034 | + | 0.505818i | 0.974291 | − | 0.225295i | \(-0.0723345\pi\) |
−0.682256 | + | 0.731113i | \(0.739001\pi\) | |||||||
\(420\) | −6.79027 | + | 3.31426i | −0.331331 | + | 0.161720i | ||||
\(421\) | 17.9287 | − | 31.0535i | 0.873793 | − | 1.51345i | 0.0157499 | − | 0.999876i | \(-0.494986\pi\) |
0.858043 | − | 0.513578i | \(-0.171680\pi\) | |||||||
\(422\) | 1.61146 | − | 1.61146i | 0.0784447 | − | 0.0784447i | ||||
\(423\) | 15.7373 | − | 0.0376718i | 0.765172 | − | 0.00183167i | ||||
\(424\) | 4.15208i | 0.201643i | ||||||||
\(425\) | 3.20614 | + | 7.97717i | 0.155521 | + | 0.386950i | ||||
\(426\) | 5.05038 | + | 3.86570i | 0.244692 | + | 0.187294i | ||||
\(427\) | −0.160359 | + | 0.598470i | −0.00776034 | + | 0.0289620i | ||||
\(428\) | 1.50139 | − | 5.60328i | 0.0725726 | − | 0.270845i | ||||
\(429\) | −2.21852 | + | 17.0086i | −0.107111 | + | 0.821183i | ||||
\(430\) | 0.742260 | − | 1.48536i | 0.0357950 | − | 0.0716306i | ||||
\(431\) | − | 7.62108i | − | 0.367095i | −0.983011 | − | 0.183547i | \(-0.941242\pi\) | ||
0.983011 | − | 0.183547i | \(-0.0587580\pi\) | |||||||
\(432\) | 2.44629 | − | 19.1115i | 0.117697 | − | 0.919501i | ||||
\(433\) | 19.0999 | − | 19.0999i | 0.917883 | − | 0.917883i | −0.0789926 | − | 0.996875i | \(-0.525170\pi\) |
0.996875 | + | 0.0789926i | \(0.0251703\pi\) | |||||||
\(434\) | −0.956998 | + | 1.65757i | −0.0459374 | + | 0.0795659i | ||||
\(435\) | 3.22348 | − | 2.80376i | 0.154554 | − | 0.134430i | ||||
\(436\) | −1.88538 | − | 3.26558i | −0.0902935 | − | 0.156393i | ||||
\(437\) | 33.0500 | + | 8.85573i | 1.58100 | + | 0.423627i | ||||
\(438\) | 0.0458897 | + | 0.345372i | 0.00219269 | + | 0.0165025i | ||||
\(439\) | −32.0247 | − | 18.4895i | −1.52846 | − | 0.882454i | −0.999427 | − | 0.0338507i | \(-0.989223\pi\) |
−0.529029 | − | 0.848604i | \(-0.677444\pi\) | |||||||
\(440\) | 3.53478 | + | 3.13303i | 0.168514 | + | 0.149362i | ||||
\(441\) | 0.783392 | + | 2.89591i | 0.0373044 | + | 0.137900i | ||||
\(442\) | 1.10499 | + | 1.10499i | 0.0525589 | + | 0.0525589i | ||||
\(443\) | 32.5384 | − | 8.71865i | 1.54595 | − | 0.414235i | 0.617766 | − | 0.786362i | \(-0.288038\pi\) |
0.928182 | + | 0.372127i | \(0.121371\pi\) | |||||||
\(444\) | 7.80457 | + | 18.7783i | 0.370389 | + | 0.891179i | ||||
\(445\) | 15.6829 | − | 10.3598i | 0.743442 | − | 0.491103i | ||||
\(446\) | −0.786781 | + | 0.454248i | −0.0372552 | + | 0.0215093i | ||||
\(447\) | −10.1480 | + | 24.5826i | −0.479983 | + | 1.16272i | ||||
\(448\) | −1.77197 | − | 6.61310i | −0.0837179 | − | 0.312440i | ||||
\(449\) | 7.27060 | 0.343121 | 0.171560 | − | 0.985174i | \(-0.445119\pi\) | ||||
0.171560 | + | 0.985174i | \(0.445119\pi\) | |||||||
\(450\) | −1.29648 | + | 3.05923i | −0.0611167 | + | 0.144213i | ||||
\(451\) | −18.8913 | −0.889556 | ||||||||
\(452\) | 1.62969 | + | 6.08209i | 0.0766542 | + | 0.286077i | ||||
\(453\) | −29.0906 | + | 3.86528i | −1.36680 | + | 0.181607i | ||||
\(454\) | 4.93728 | − | 2.85054i | 0.231718 | − | 0.133783i | ||||
\(455\) | −7.65494 | + | 5.05670i | −0.358869 | + | 0.237062i | ||||
\(456\) | −8.39588 | − | 1.09512i | −0.393173 | − | 0.0512835i | ||||
\(457\) | −15.5098 | + | 4.15585i | −0.725519 | + | 0.194402i | −0.602633 | − | 0.798018i | \(-0.705882\pi\) |
−0.122886 | + | 0.992421i | \(0.539215\pi\) | |||||||
\(458\) | 0.598779 | + | 0.598779i | 0.0279791 | + | 0.0279791i | ||||
\(459\) | −3.38948 | + | 8.26676i | −0.158207 | + | 0.385859i | ||||
\(460\) | 19.9978 | + | 17.7250i | 0.932402 | + | 0.826430i | ||||
\(461\) | −5.56834 | − | 3.21488i | −0.259344 | − | 0.149732i | 0.364692 | − | 0.931128i | \(-0.381174\pi\) |
−0.624035 | + | 0.781396i | \(0.714508\pi\) | |||||||
\(462\) | 0.734003 | − | 0.564618i | 0.0341489 | − | 0.0262684i | ||||
\(463\) | −17.6450 | − | 4.72796i | −0.820032 | − | 0.219727i | −0.175672 | − | 0.984449i | \(-0.556210\pi\) |
−0.644360 | + | 0.764722i | \(0.722876\pi\) | |||||||
\(464\) | 2.04513 | + | 3.54226i | 0.0949426 | + | 0.164445i | ||||
\(465\) | −6.39502 | − | 32.8489i | −0.296562 | − | 1.52333i | ||||
\(466\) | 1.83481 | − | 3.17799i | 0.0849961 | − | 0.147217i | ||||
\(467\) | 6.37687 | − | 6.37687i | 0.295086 | − | 0.295086i | −0.543999 | − | 0.839086i | \(-0.683091\pi\) |
0.839086 | + | 0.543999i | \(0.183091\pi\) | |||||||
\(468\) | −0.0574830 | − | 24.0133i | −0.00265715 | − | 1.11002i | ||||
\(469\) | 15.9724i | 0.737538i | ||||||||
\(470\) | 1.16145 | − | 2.32422i | 0.0535736 | − | 0.107208i | ||||
\(471\) | 24.4152 | − | 10.1474i | 1.12500 | − | 0.467567i | ||||
\(472\) | −0.635110 | + | 2.37026i | −0.0292333 | + | 0.109100i | ||||
\(473\) | 2.09432 | − | 7.81611i | 0.0962970 | − | 0.359385i | ||||
\(474\) | 4.34376 | − | 1.80534i | 0.199516 | − | 0.0829219i | ||||
\(475\) | −25.6886 | − | 10.9593i | −1.17868 | − | 0.502847i | ||||
\(476\) | 3.35458i | 0.153757i | ||||||||
\(477\) | −12.3091 | + | 7.14603i | −0.563597 | + | 0.327194i | ||||
\(478\) | 3.46530 | − | 3.46530i | 0.158499 | − | 0.158499i | ||||
\(479\) | −2.02650 | + | 3.51001i | −0.0925933 | + | 0.160376i | −0.908602 | − | 0.417664i | \(-0.862849\pi\) |
0.816008 | + | 0.578040i | \(0.196182\pi\) | |||||||
\(480\) | −8.25887 | − | 5.56721i | −0.376964 | − | 0.254107i | ||||
\(481\) | 12.3456 | + | 21.3832i | 0.562911 | + | 0.974991i | ||||
\(482\) | −5.28672 | − | 1.41657i | −0.240803 | − | 0.0645231i | ||||
\(483\) | 8.40960 | − | 6.46892i | 0.382650 | − | 0.294346i | ||||
\(484\) | −8.74193 | − | 5.04715i | −0.397360 | − | 0.229416i | ||||
\(485\) | 2.14601 | − | 2.42119i | 0.0974453 | − | 0.109941i | ||||
\(486\) | −3.18215 | + | 1.34046i | −0.144345 | + | 0.0608044i | ||||
\(487\) | 19.4032 | + | 19.4032i | 0.879243 | + | 0.879243i | 0.993456 | − | 0.114213i | \(-0.0364346\pi\) |
−0.114213 | + | 0.993456i | \(0.536435\pi\) | |||||||
\(488\) | −0.523758 | + | 0.140340i | −0.0237094 | + | 0.00635291i | ||||
\(489\) | −19.1351 | − | 2.49589i | −0.865320 | − | 0.112868i | ||||
\(490\) | 0.485272 | + | 0.0991889i | 0.0219224 | + | 0.00448090i | ||||
\(491\) | 13.1879 | − | 7.61405i | 0.595163 | − | 0.343617i | −0.171974 | − | 0.985102i | \(-0.555014\pi\) |
0.767136 | + | 0.641484i | \(0.221681\pi\) | |||||||
\(492\) | 26.2170 | − | 3.48346i | 1.18195 | − | 0.157047i | ||||
\(493\) | −0.490908 | − | 1.83209i | −0.0221094 | − | 0.0825133i | ||||
\(494\) | −5.07643 | −0.228399 | ||||||||
\(495\) | −3.20450 | + | 15.8713i | −0.144032 | + | 0.713360i | ||||
\(496\) | 32.0401 | 1.43864 | ||||||||
\(497\) | 4.29049 | + | 16.0123i | 0.192455 | + | 0.718250i | ||||
\(498\) | 1.44897 | − | 3.51000i | 0.0649299 | − | 0.157287i | ||||
\(499\) | −26.6773 | + | 15.4021i | −1.19424 | + | 0.689494i | −0.959265 | − | 0.282508i | \(-0.908834\pi\) |
−0.234973 | + | 0.972002i | \(0.575500\pi\) | |||||||
\(500\) | −14.1206 | − | 16.6246i | −0.631492 | − | 0.743475i | ||||
\(501\) | −10.1459 | − | 24.4118i | −0.453287 | − | 1.09064i | ||||
\(502\) | −4.48644 | + | 1.20214i | −0.200240 | + | 0.0536541i | ||||
\(503\) | 16.5256 | + | 16.5256i | 0.736841 | + | 0.736841i | 0.971965 | − | 0.235124i | \(-0.0755497\pi\) |
−0.235124 | + | 0.971965i | \(0.575550\pi\) | |||||||
\(504\) | −1.85205 | + | 1.86094i | −0.0824968 | + | 0.0828927i | ||||
\(505\) | −23.5819 | + | 1.42084i | −1.04938 | + | 0.0632264i | ||||
\(506\) | −2.83627 | − | 1.63752i | −0.126088 | − | 0.0727968i | ||||
\(507\) | −0.874583 | − | 6.58223i | −0.0388416 | − | 0.292327i | ||||
\(508\) | 20.3836 | + | 5.46177i | 0.904377 | + | 0.242327i | ||||
\(509\) | 10.7964 | + | 18.7000i | 0.478543 | + | 0.828861i | 0.999697 | − | 0.0246016i | \(-0.00783172\pi\) |
−0.521154 | + | 0.853462i | \(0.674498\pi\) | |||||||
\(510\) | 0.968091 | + | 1.11301i | 0.0428678 | + | 0.0492850i | ||||
\(511\) | −0.454055 | + | 0.786446i | −0.0200862 | + | 0.0347903i | ||||
\(512\) | 11.3321 | − | 11.3321i | 0.500813 | − | 0.500813i | ||||
\(513\) | −11.2034 | − | 26.7750i | −0.494640 | − | 1.18214i | ||||
\(514\) | − | 1.93175i | − | 0.0852060i | ||||||
\(515\) | −10.3982 | + | 3.46870i | −0.458200 | + | 0.152849i | ||||
\(516\) | −1.46521 | + | 11.2332i | −0.0645022 | + | 0.494516i | ||||
\(517\) | 3.27708 | − | 12.2302i | 0.144126 | − | 0.537885i | ||||
\(518\) | 0.345015 | − | 1.28761i | 0.0151591 | − | 0.0565745i | ||||
\(519\) | 32.7455 | + | 25.0643i | 1.43737 | + | 1.10020i | ||||
\(520\) | −7.18218 | − | 3.58905i | −0.314960 | − | 0.157390i | ||||
\(521\) | − | 27.2554i | − | 1.19408i | −0.802211 | − | 0.597041i | \(-0.796343\pi\) | ||
0.802211 | − | 0.597041i | \(-0.203657\pi\) | |||||||
\(522\) | 0.364991 | − | 0.635693i | 0.0159752 | − | 0.0278235i | ||||
\(523\) | −5.79009 | + | 5.79009i | −0.253183 | + | 0.253183i | −0.822274 | − | 0.569091i | \(-0.807295\pi\) |
0.569091 | + | 0.822274i | \(0.307295\pi\) | |||||||
\(524\) | 6.48788 | − | 11.2373i | 0.283424 | − | 0.490905i | ||||
\(525\) | −7.54014 | + | 4.25984i | −0.329079 | + | 0.185915i | ||||
\(526\) | 2.17430 | + | 3.76599i | 0.0948039 | + | 0.164205i | ||||
\(527\) | −14.3513 | − | 3.84542i | −0.625153 | − | 0.167509i | ||||
\(528\) | −14.3289 | − | 5.91516i | −0.623587 | − | 0.257424i | ||||
\(529\) | −12.5771 | − | 7.26138i | −0.546830 | − | 0.315712i | ||||
\(530\) | 0.141328 | + | 2.34566i | 0.00613890 | + | 0.101889i | ||||
\(531\) | −8.11989 | + | 2.19656i | −0.352373 | + | 0.0953227i | ||||
\(532\) | −7.70563 | − | 7.70563i | −0.334082 | − | 0.334082i | ||||
\(533\) | 31.0179 | − | 8.31123i | 1.34354 | − | 0.359999i | ||||
\(534\) | 1.96016 | − | 2.56088i | 0.0848246 | − | 0.110820i | ||||
\(535\) | 1.33147 | − | 6.51408i | 0.0575643 | − | 0.281628i | ||||
\(536\) | −12.1057 | + | 6.98923i | −0.522886 | + | 0.301889i | ||||
\(537\) | 17.7488 | + | 23.0735i | 0.765919 | + | 0.995695i | ||||
\(538\) | −0.975586 | − | 3.64094i | −0.0420605 | − | 0.156972i | ||||
\(539\) | 2.41369 | 0.103965 | ||||||||
\(540\) | 1.52056 | − | 22.6168i | 0.0654347 | − | 0.973270i | ||||
\(541\) | 11.2560 | 0.483934 | 0.241967 | − | 0.970284i | \(-0.422207\pi\) | ||||
0.241967 | + | 0.970284i | \(0.422207\pi\) | |||||||
\(542\) | −1.03814 | − | 3.87438i | −0.0445918 | − | 0.166419i | ||||
\(543\) | −2.39280 | − | 3.11064i | −0.102685 | − | 0.133491i | ||||
\(544\) | −3.82950 | + | 2.21096i | −0.164188 | + | 0.0947942i | ||||
\(545\) | −2.38213 | − | 3.60612i | −0.102039 | − | 0.154469i | ||||
\(546\) | −0.956769 | + | 1.24998i | −0.0409459 | + | 0.0534942i | ||||
\(547\) | 7.06681 | − | 1.89355i | 0.302155 | − | 0.0809622i | −0.104556 | − | 0.994519i | \(-0.533342\pi\) |
0.406711 | + | 0.913557i | \(0.366676\pi\) | |||||||
\(548\) | 10.7606 | + | 10.7606i | 0.459669 | + | 0.459669i | ||||
\(549\) | −1.31747 | − | 1.31118i | −0.0562284 | − | 0.0559598i | ||||
\(550\) | 2.10356 | + | 1.64964i | 0.0896961 | + | 0.0703410i | ||||
\(551\) | 5.33605 | + | 3.08077i | 0.227323 | + | 0.131245i | ||||
\(552\) | 8.58275 | + | 3.54306i | 0.365306 | + | 0.150803i | ||||
\(553\) | 11.8430 | + | 3.17332i | 0.503615 | + | 0.134943i | ||||
\(554\) | 2.51998 | + | 4.36473i | 0.107064 | + | 0.185440i | ||||
\(555\) | 10.2235 | + | 20.9458i | 0.433962 | + | 0.889102i | ||||
\(556\) | −6.76562 | + | 11.7184i | −0.286926 | + | 0.496971i | ||||
\(557\) | 0.101718 | − | 0.101718i | 0.00430991 | − | 0.00430991i | −0.704949 | − | 0.709258i | \(-0.749030\pi\) |
0.709258 | + | 0.704949i | \(0.249030\pi\) | |||||||
\(558\) | −2.88289 | − | 4.96582i | −0.122042 | − | 0.210220i | ||||
\(559\) | 13.7548i | 0.581766i | ||||||||
\(560\) | −2.62375 | − | 7.86529i | −0.110874 | − | 0.332369i | ||||
\(561\) | 5.70825 | + | 4.36925i | 0.241002 | + | 0.184470i | ||||
\(562\) | 0.522669 | − | 1.95063i | 0.0220475 | − | 0.0822823i | ||||
\(563\) | −7.14204 | + | 26.6544i | −0.301001 | + | 1.12335i | 0.635332 | + | 0.772239i | \(0.280863\pi\) |
−0.936333 | + | 0.351112i | \(0.885804\pi\) | |||||||
\(564\) | −2.29268 | + | 17.5772i | −0.0965392 | + | 0.740132i | ||||
\(565\) | 2.28374 | + | 6.84604i | 0.0960777 | + | 0.288015i | ||||
\(566\) | 4.41059i | 0.185391i | ||||||||
\(567\) | −8.70438 | − | 2.28772i | −0.365550 | − | 0.0960754i | ||||
\(568\) | −10.2585 | + | 10.2585i | −0.430437 | + | 0.430437i | ||||
\(569\) | 2.33597 | − | 4.04603i | 0.0979291 | − | 0.169618i | −0.812898 | − | 0.582406i | \(-0.802111\pi\) |
0.910827 | + | 0.412788i | \(0.135445\pi\) | |||||||
\(570\) | −4.78040 | − | 0.332892i | −0.200229 | − | 0.0139433i | ||||
\(571\) | −0.566249 | − | 0.980773i | −0.0236968 | − | 0.0410441i | 0.853934 | − | 0.520382i | \(-0.174210\pi\) |
−0.877631 | + | 0.479338i | \(0.840877\pi\) | |||||||
\(572\) | −18.6620 | − | 5.00046i | −0.780296 | − | 0.209080i | ||||
\(573\) | 5.85856 | + | 44.0923i | 0.244745 | + | 1.84198i | ||||
\(574\) | −1.50141 | − | 0.866838i | −0.0626675 | − | 0.0361811i | ||||
\(575\) | 24.1008 | + | 18.9002i | 1.00507 | + | 0.788194i | ||||
\(576\) | 19.8520 | + | 5.26842i | 0.827165 | + | 0.219517i | ||||
\(577\) | 15.0500 | + | 15.0500i | 0.626541 | + | 0.626541i | 0.947196 | − | 0.320655i | \(-0.103903\pi\) |
−0.320655 | + | 0.947196i | \(0.603903\pi\) | |||||||
\(578\) | −3.00473 | + | 0.805114i | −0.124980 | + | 0.0334883i | ||||
\(579\) | 2.96664 | + | 7.13793i | 0.123289 | + | 0.296642i | ||||
\(580\) | 2.65234 | + | 4.01517i | 0.110132 | + | 0.166721i | ||||
\(581\) | 8.57153 | − | 4.94878i | 0.355607 | − | 0.205310i | ||||
\(582\) | 0.211821 | − | 0.513116i | 0.00878025 | − | 0.0212694i | ||||
\(583\) | 2.96385 | + | 11.0612i | 0.122750 | + | 0.458110i | ||||
\(584\) | −0.794742 | −0.0328867 | ||||||||
\(585\) | −1.72105 | − | 27.4691i | −0.0711565 | − | 1.13571i | ||||
\(586\) | −2.66484 | −0.110083 | ||||||||
\(587\) | 2.29950 | + | 8.58186i | 0.0949106 | + | 0.354211i | 0.997006 | − | 0.0773257i | \(-0.0246381\pi\) |
−0.902095 | + | 0.431537i | \(0.857971\pi\) | |||||||
\(588\) | −3.34968 | + | 0.445073i | −0.138138 | + | 0.0183545i | ||||
\(589\) | 41.7988 | − | 24.1326i | 1.72229 | − | 0.994365i | ||||
\(590\) | −0.278117 | + | 1.36066i | −0.0114499 | + | 0.0560176i | ||||
\(591\) | −34.7843 | − | 4.53709i | −1.43083 | − | 0.186631i | ||||
\(592\) | −21.5545 | + | 5.77552i | −0.885885 | + | 0.237372i | ||||
\(593\) | −29.9869 | − | 29.9869i | −1.23141 | − | 1.23141i | −0.963421 | − | 0.267994i | \(-0.913639\pi\) |
−0.267994 | − | 0.963421i | \(-0.586361\pi\) | |||||||
\(594\) | 0.372506 | + | 2.75304i | 0.0152841 | + | 0.112959i | ||||
\(595\) | 0.231237 | + | 3.83790i | 0.00947980 | + | 0.157338i | ||||
\(596\) | −25.9424 | − | 14.9778i | −1.06264 | − | 0.613516i | ||||
\(597\) | 4.30352 | − | 3.31040i | 0.176131 | − | 0.135486i | ||||
\(598\) | 5.37735 | + | 1.44086i | 0.219896 | + | 0.0589210i | ||||
\(599\) | −5.93776 | − | 10.2845i | −0.242610 | − | 0.420213i | 0.718847 | − | 0.695169i | \(-0.244670\pi\) |
−0.961457 | + | 0.274955i | \(0.911337\pi\) | |||||||
\(600\) | −6.52801 | − | 3.85074i | −0.266505 | − | 0.157206i | ||||
\(601\) | −6.61882 | + | 11.4641i | −0.269987 | + | 0.467632i | −0.968858 | − | 0.247616i | \(-0.920353\pi\) |
0.698871 | + | 0.715248i | \(0.253686\pi\) | |||||||
\(602\) | 0.525096 | − | 0.525096i | 0.0214013 | − | 0.0214013i | ||||
\(603\) | −41.5548 | − | 23.8592i | −1.69224 | − | 0.971623i | ||||
\(604\) | − | 33.0548i | − | 1.34498i | ||||||
\(605\) | −10.3494 | − | 5.17174i | −0.420761 | − | 0.210261i | ||||
\(606\) | −3.74309 | + | 1.55569i | −0.152053 | + | 0.0631956i | ||||
\(607\) | 11.3455 | − | 42.3421i | 0.460501 | − | 1.71861i | −0.210889 | − | 0.977510i | \(-0.567636\pi\) |
0.671390 | − | 0.741104i | \(-0.265698\pi\) | |||||||
\(608\) | 3.71786 | − | 13.8752i | 0.150779 | − | 0.562715i | ||||
\(609\) | 1.76429 | − | 0.733266i | 0.0714925 | − | 0.0297135i | ||||
\(610\) | −0.291112 | + | 0.0971108i | −0.0117868 | + | 0.00393190i | ||||
\(611\) | 21.5228i | 0.870718i | ||||||||
\(612\) | −8.72747 | − | 5.01099i | −0.352787 | − | 0.202557i | ||||
\(613\) | −3.45641 | + | 3.45641i | −0.139603 | + | 0.139603i | −0.773455 | − | 0.633852i | \(-0.781473\pi\) |
0.633852 | + | 0.773455i | \(0.281473\pi\) | |||||||
\(614\) | 1.54915 | − | 2.68320i | 0.0625185 | − | 0.108285i | ||||
\(615\) | 29.7542 | − | 5.79253i | 1.19980 | − | 0.233577i | ||||
\(616\) | 1.05619 | + | 1.82937i | 0.0425549 | + | 0.0737073i | ||||
\(617\) | −12.3112 | − | 3.29877i | −0.495629 | − | 0.132803i | 0.00234147 | − | 0.999997i | \(-0.499255\pi\) |
−0.497971 | + | 0.867194i | \(0.665921\pi\) | |||||||
\(618\) | −1.49074 | + | 1.14672i | −0.0599663 | + | 0.0461279i | ||||
\(619\) | −11.5751 | − | 6.68290i | −0.465244 | − | 0.268608i | 0.249003 | − | 0.968503i | \(-0.419897\pi\) |
−0.714246 | + | 0.699894i | \(0.753230\pi\) | |||||||
\(620\) | 37.6265 | − | 2.26703i | 1.51112 | − | 0.0910463i | ||||
\(621\) | 4.26786 | + | 31.5420i | 0.171263 | + | 1.26574i | ||||
\(622\) | −1.54225 | − | 1.54225i | −0.0618385 | − | 0.0618385i | ||||
\(623\) | 8.11930 | − | 2.17556i | 0.325293 | − | 0.0871620i | ||||
\(624\) | 26.1293 | + | 3.40818i | 1.04601 | + | 0.136436i | ||||
\(625\) | −17.3010 | − | 18.0465i | −0.692040 | − | 0.721859i | ||||
\(626\) | 5.32669 | − | 3.07537i | 0.212897 | − | 0.122916i | ||||
\(627\) | −23.1485 | + | 3.07575i | −0.924463 | + | 0.122834i | ||||
\(628\) | 7.70796 | + | 28.7665i | 0.307581 | + | 1.14791i | ||||
\(629\) | 10.3478 | 0.412594 | ||||||||
\(630\) | −0.982944 | + | 1.11435i | −0.0391614 | + | 0.0443967i | ||||
\(631\) | 19.7625 | 0.786733 | 0.393367 | − | 0.919382i | \(-0.371310\pi\) | ||||
0.393367 | + | 0.919382i | \(0.371310\pi\) | |||||||
\(632\) | 2.77716 | + | 10.3645i | 0.110470 | + | 0.412278i | ||||
\(633\) | −6.79970 | + | 16.4717i | −0.270264 | + | 0.654690i | ||||
\(634\) | −3.11658 | + | 1.79936i | −0.123775 | + | 0.0714617i | ||||
\(635\) | 23.6969 | + | 4.84361i | 0.940384 | + | 0.192213i | ||||
\(636\) | −6.15281 | − | 14.8041i | −0.243975 | − | 0.587019i | ||||
\(637\) | −3.96308 | + | 1.06190i | −0.157023 | + | 0.0420742i | ||||
\(638\) | −0.417027 | − | 0.417027i | −0.0165102 | − | 0.0165102i | ||||
\(639\) | −48.0676 | − | 12.7564i | −1.90153 | − | 0.504637i | ||||
\(640\) | 9.87782 | − | 11.1444i | 0.390455 | − | 0.440522i | ||||
\(641\) | 20.3879 | + | 11.7709i | 0.805272 | + | 0.464924i | 0.845311 | − | 0.534274i | \(-0.179415\pi\) |
−0.0400390 | + | 0.999198i | \(0.512748\pi\) | |||||||
\(642\) | −0.150256 | − | 1.13085i | −0.00593014 | − | 0.0446310i | ||||
\(643\) | −21.8938 | − | 5.86642i | −0.863406 | − | 0.231349i | −0.200172 | − | 0.979761i | \(-0.564150\pi\) |
−0.663234 | + | 0.748412i | \(0.730817\pi\) | |||||||
\(644\) | 5.97531 | + | 10.3495i | 0.235460 | + | 0.407829i | ||||
\(645\) | −0.901985 | + | 12.9527i | −0.0355156 | + | 0.510012i | ||||
\(646\) | −1.06374 | + | 1.84245i | −0.0418522 | + | 0.0724901i | ||||
\(647\) | −13.8366 | + | 13.8366i | −0.543972 | + | 0.543972i | −0.924691 | − | 0.380719i | \(-0.875677\pi\) |
0.380719 | + | 0.924691i | \(0.375677\pi\) | |||||||
\(648\) | −2.07498 | − | 7.59822i | −0.0815128 | − | 0.298486i | ||||
\(649\) | 6.76779i | 0.265659i | ||||||||
\(650\) | −4.17963 | − | 1.78311i | −0.163939 | − | 0.0699395i | ||||
\(651\) | 1.93573 | − | 14.8406i | 0.0758672 | − | 0.581647i | ||||
\(652\) | 5.62565 | − | 20.9952i | 0.220318 | − | 0.822236i | ||||
\(653\) | 0.377082 | − | 1.40729i | 0.0147564 | − | 0.0550715i | −0.958155 | − | 0.286250i | \(-0.907591\pi\) |
0.972911 | + | 0.231178i | \(0.0742580\pi\) | |||||||
\(654\) | −0.588845 | − | 0.450718i | −0.0230257 | − | 0.0176245i | ||||
\(655\) | 6.64802 | − | 13.3036i | 0.259760 | − | 0.519815i | ||||
\(656\) | 29.0216i | 1.13310i | ||||||||
\(657\) | −1.36781 | − | 2.35607i | −0.0533633 | − | 0.0919191i | ||||
\(658\) | 0.821641 | − | 0.821641i | 0.0320309 | − | 0.0320309i | ||||
\(659\) | −13.6365 | + | 23.6192i | −0.531204 | + | 0.920072i | 0.468133 | + | 0.883658i | \(0.344927\pi\) |
−0.999337 | + | 0.0364140i | \(0.988407\pi\) | |||||||
\(660\) | −17.2458 | − | 5.93264i | −0.671292 | − | 0.230928i | ||||
\(661\) | 19.9575 | + | 34.5673i | 0.776255 | + | 1.34451i | 0.934086 | + | 0.357047i | \(0.116217\pi\) |
−0.157831 | + | 0.987466i | \(0.550450\pi\) | |||||||
\(662\) | 0.110777 | + | 0.0296826i | 0.00430547 | + | 0.00115365i | ||||
\(663\) | −11.2947 | − | 4.66259i | −0.438650 | − | 0.181080i | ||||
\(664\) | 7.50147 | + | 4.33098i | 0.291114 | + | 0.168075i | ||||
\(665\) | −9.34701 | − | 8.28468i | −0.362461 | − | 0.321266i | ||||
\(666\) | 2.83455 | + | 2.82102i | 0.109837 | + | 0.109312i | ||||
\(667\) | −4.77794 | − | 4.77794i | −0.185003 | − | 0.185003i | ||||
\(668\) | 28.7624 | − | 7.70687i | 1.11285 | − | 0.298188i | ||||
\(669\) | 4.31782 | − | 5.64106i | 0.166937 | − | 0.218096i | ||||
\(670\) | −6.60103 | + | 4.36051i | −0.255020 | + | 0.168461i | ||||
\(671\) | −1.29512 | + | 0.747739i | −0.0499977 | + | 0.0288662i | ||||
\(672\) | −2.71582 | − | 3.53056i | −0.104765 | − | 0.136194i | ||||
\(673\) | −0.681737 | − | 2.54428i | −0.0262790 | − | 0.0980747i | 0.951541 | − | 0.307523i | \(-0.0995000\pi\) |
−0.977820 | + | 0.209448i | \(0.932833\pi\) | |||||||
\(674\) | 0.531178 | 0.0204602 | ||||||||
\(675\) | 0.180630 | − | 25.9801i | 0.00695246 | − | 0.999976i | ||||
\(676\) | 7.47920 | 0.287661 | ||||||||
\(677\) | 4.18527 | + | 15.6196i | 0.160853 | + | 0.600311i | 0.998533 | + | 0.0541495i | \(0.0172448\pi\) |
−0.837680 | + | 0.546161i | \(0.816089\pi\) | |||||||
\(678\) | 0.754986 | + | 0.981482i | 0.0289951 | + | 0.0376936i | ||||
\(679\) | 1.25305 | − | 0.723447i | 0.0480875 | − | 0.0277634i | ||||
\(680\) | −2.80760 | + | 1.85465i | −0.107667 | + | 0.0711225i | ||||
\(681\) | −27.0956 | + | 35.3993i | −1.03831 | + | 1.35650i | ||||
\(682\) | −4.46238 | + | 1.19569i | −0.170873 | + | 0.0457854i | ||||
\(683\) | −7.90415 | − | 7.90415i | −0.302444 | − | 0.302444i | 0.539526 | − | 0.841969i | \(-0.318604\pi\) |
−0.841969 | + | 0.539526i | \(0.818604\pi\) | |||||||
\(684\) | 31.5579 | − | 8.53694i | 1.20665 | − | 0.326418i | ||||
\(685\) | 13.0527 | + | 11.5692i | 0.498717 | + | 0.442036i | ||||
\(686\) | 0.191831 | + | 0.110754i | 0.00732414 | + | 0.00422860i | ||||
\(687\) | −6.12047 | − | 2.52660i | −0.233510 | − | 0.0963959i | ||||
\(688\) | −12.0074 | − | 3.21738i | −0.457779 | − | 0.122662i | ||||
\(689\) | −9.73278 | − | 16.8577i | −0.370790 | − | 0.642226i | ||||
\(690\) | 4.96929 | + | 1.70946i | 0.189178 | + | 0.0650780i | ||||
\(691\) | −8.35950 | + | 14.4791i | −0.318010 | + | 0.550810i | −0.980073 | − | 0.198639i | \(-0.936348\pi\) |
0.662063 | + | 0.749449i | \(0.269681\pi\) | |||||||
\(692\) | −32.8438 | + | 32.8438i | −1.24853 | + | 1.24853i | ||||
\(693\) | −3.60552 | + | 6.27961i | −0.136962 | + | 0.238542i | ||||
\(694\) | − | 1.20886i | − | 0.0458875i | ||||||
\(695\) | −6.93263 | + | 13.8731i | −0.262969 | + | 0.526238i | ||||
\(696\) | 1.32777 | + | 1.01631i | 0.0503289 | + | 0.0385231i | ||||
\(697\) | 3.48314 | − | 12.9993i | 0.131933 | − | 0.492382i | ||||
\(698\) | −0.814748 | + | 3.04068i | −0.0308387 | + | 0.115091i | ||||
\(699\) | −3.71129 | + | 28.4532i | −0.140374 | + | 1.07620i | ||||
\(700\) | −3.63773 | − | 9.05100i | −0.137493 | − | 0.342096i | ||||
\(701\) | − | 28.5556i | − | 1.07853i | −0.842136 | − | 0.539266i | \(-0.818702\pi\) | ||
0.842136 | − | 0.539266i | \(-0.181298\pi\) | |||||||
\(702\) | −1.82282 | − | 4.35638i | −0.0687981 | − | 0.164421i | ||||
\(703\) | −23.7694 | + | 23.7694i | −0.896481 | + | 0.896481i | ||||
\(704\) | 8.26253 | − | 14.3111i | 0.311406 | − | 0.539371i | ||||
\(705\) | −1.41138 | + | 20.2677i | −0.0531555 | + | 0.763325i | ||||
\(706\) | −3.24228 | − | 5.61579i | −0.122025 | − | 0.211353i | ||||
\(707\) | −10.2053 | − | 2.73450i | −0.383809 | − | 0.102841i | ||||
\(708\) | −1.24795 | − | 9.39221i | −0.0469007 | − | 0.352981i | ||||
\(709\) | 33.0480 | + | 19.0803i | 1.24114 | + | 0.716574i | 0.969327 | − | 0.245775i | \(-0.0790426\pi\) |
0.271816 | + | 0.962349i | \(0.412376\pi\) | |||||||
\(710\) | −5.44620 | + | 6.14455i | −0.204392 | + | 0.230601i | ||||
\(711\) | −25.9467 | + | 26.0712i | −0.973076 | + | 0.977746i | ||||
\(712\) | 5.20173 | + | 5.20173i | 0.194943 | + | 0.194943i | ||||
\(713\) | −51.1263 | + | 13.6992i | −1.91469 | + | 0.513041i | ||||
\(714\) | 0.253184 | + | 0.609177i | 0.00947518 | + | 0.0227979i | ||||
\(715\) | −21.6954 | − | 4.43451i | −0.811363 | − | 0.165841i | ||||
\(716\) | −28.3961 | + | 16.3945i | −1.06121 | + | 0.612692i | ||||
\(717\) | −14.6221 | + | 35.4208i | −0.546074 | + | 1.32281i | ||||
\(718\) | −0.0889788 | − | 0.332074i | −0.00332066 | − | 0.0123929i | ||||
\(719\) | 40.4768 | 1.50953 | 0.754765 | − | 0.655995i | \(-0.227751\pi\) | ||||
0.754765 | + | 0.655995i | \(0.227751\pi\) | |||||||
\(720\) | 24.3821 | + | 4.92289i | 0.908667 | + | 0.183465i | ||||
\(721\) | −4.90214 | −0.182565 | ||||||||
\(722\) | −0.699459 | − | 2.61041i | −0.0260311 | − | 0.0971496i | ||||
\(723\) | 42.4243 | − | 5.63693i | 1.57778 | − | 0.209640i | ||||
\(724\) | 3.82821 | − | 2.21022i | 0.142274 | − | 0.0821421i | ||||
\(725\) | 3.31126 | + | 4.41083i | 0.122977 | + | 0.163814i | ||||
\(726\) | −1.96843 | − | 0.256752i | −0.0730552 | − | 0.00952896i | ||||
\(727\) | 16.3478 | − | 4.38037i | 0.606305 | − | 0.162459i | 0.0574107 | − | 0.998351i | \(-0.481716\pi\) |
0.548894 | + | 0.835892i | \(0.315049\pi\) | |||||||
\(728\) | −2.53900 | − | 2.53900i | −0.0941015 | − | 0.0941015i | ||||
\(729\) | 18.9543 | − | 19.2285i | 0.702011 | − | 0.712167i | ||||
\(730\) | −0.448978 | + | 0.0270513i | −0.0166174 | + | 0.00100122i | ||||
\(731\) | 4.99219 | + | 2.88224i | 0.184643 | + | 0.106604i | ||||
\(732\) | 1.65947 | − | 1.27651i | 0.0613357 | − | 0.0471813i | ||||
\(733\) | 1.91715 | + | 0.513699i | 0.0708116 | + | 0.0189739i | 0.294051 | − | 0.955790i | \(-0.404996\pi\) |
−0.223239 | + | 0.974764i | \(0.571663\pi\) | |||||||
\(734\) | 0.779204 | + | 1.34962i | 0.0287609 | + | 0.0498154i | ||||
\(735\) | −3.80161 | + | 0.740097i | −0.140225 | + | 0.0272989i | ||||
\(736\) | −7.87650 | + | 13.6425i | −0.290332 | + | 0.502869i | ||||
\(737\) | −27.2608 | + | 27.2608i | −1.00416 | + | 1.00416i | ||||
\(738\) | 4.49799 | − | 2.61129i | 0.165573 | − | 0.0961229i | ||||
\(739\) | 11.0692i | 0.407187i | 0.979056 | + | 0.203593i | \(0.0652621\pi\) | ||||
−0.979056 | + | 0.203593i | \(0.934738\pi\) | |||||||
\(740\) | −24.9040 | + | 8.30762i | −0.915490 | + | 0.305394i | ||||
\(741\) | 36.6547 | − | 15.2343i | 1.34655 | − | 0.559647i | ||||
\(742\) | −0.271996 | + | 1.01510i | −0.00998528 | + | 0.0372656i | ||||
\(743\) | −10.3606 | + | 38.6662i | −0.380093 | + | 1.41852i | 0.465667 | + | 0.884960i | \(0.345815\pi\) |
−0.845759 | + | 0.533565i | \(0.820852\pi\) | |||||||
\(744\) | 12.0949 | − | 5.02683i | 0.443420 | − | 0.184292i | ||||
\(745\) | −30.7125 | − | 15.3475i | −1.12522 | − | 0.562291i | ||||
\(746\) | 1.51755i | 0.0555615i | ||||||||
\(747\) | 0.0710780 | + | 29.6926i | 0.00260061 | + | 1.08639i | ||||
\(748\) | −5.72539 | + | 5.72539i | −0.209341 | + | 0.209341i | ||||
\(749\) | 1.48671 | − | 2.57505i | 0.0543231 | − | 0.0940904i | ||||
\(750\) | −3.81897 | − | 1.95322i | −0.139449 | − | 0.0713214i | ||||
\(751\) | −13.4102 | − | 23.2272i | −0.489347 | − | 0.847573i | 0.510578 | − | 0.859831i | \(-0.329431\pi\) |
−0.999925 | + | 0.0122579i | \(0.996098\pi\) | |||||||
\(752\) | −18.7886 | − | 5.03439i | −0.685149 | − | 0.183585i | ||||
\(753\) | 28.7871 | − | 22.1439i | 1.04906 | − | 0.806969i | ||||
\(754\) | 0.868194 | + | 0.501252i | 0.0316178 | + | 0.0182545i | ||||
\(755\) | −2.27853 | − | 37.8173i | −0.0829242 | − | 1.37631i | ||||
\(756\) | 3.84574 | − | 9.37956i | 0.139868 | − | 0.341131i | ||||
\(757\) | −6.97073 | − | 6.97073i | −0.253355 | − | 0.253355i | 0.568989 | − | 0.822345i | \(-0.307335\pi\) |
−0.822345 | + | 0.568989i | \(0.807335\pi\) | |||||||
\(758\) | 6.06614 | − | 1.62542i | 0.220332 | − | 0.0590378i | ||||
\(759\) | 25.3937 | + | 3.31223i | 0.921734 | + | 0.120226i | ||||
\(760\) | 2.18899 | − | 10.7094i | 0.0794030 | − | 0.388472i | ||||
\(761\) | 35.0482 | − | 20.2351i | 1.27050 | − | 0.733522i | 0.295415 | − | 0.955369i | \(-0.404542\pi\) |
0.975081 | + | 0.221847i | \(0.0712086\pi\) | |||||||
\(762\) | 4.11380 | − | 0.546602i | 0.149027 | − | 0.0198013i | ||||
\(763\) | −0.500246 | − | 1.86694i | −0.0181101 | − | 0.0675879i | ||||
\(764\) | −50.1008 | −1.81259 | ||||||||
\(765\) | −10.3303 | − | 5.13136i | −0.373493 | − | 0.185525i | ||||
\(766\) | −3.83718 | −0.138643 | ||||||||
\(767\) | −2.97749 | − | 11.1121i | −0.107511 | − | 0.401236i | ||||
\(768\) | −8.07472 | + | 19.5603i | −0.291371 | + | 0.705821i | ||||
\(769\) | −13.1923 | + | 7.61659i | −0.475727 | + | 0.274661i | −0.718634 | − | 0.695388i | \(-0.755232\pi\) |
0.242907 | + | 0.970050i | \(0.421899\pi\) | |||||||
\(770\) | 0.658943 | + | 0.997522i | 0.0237467 | + | 0.0359482i | ||||
\(771\) | 5.79718 | + | 13.9484i | 0.208780 | + | 0.502339i | ||||
\(772\) | −8.41004 | + | 2.25346i | −0.302684 | + | 0.0811040i | ||||
\(773\) | 4.10943 | + | 4.10943i | 0.147806 | + | 0.147806i | 0.777137 | − | 0.629331i | \(-0.216671\pi\) |
−0.629331 | + | 0.777137i | \(0.716671\pi\) | |||||||
\(774\) | 0.581745 | + | 2.15050i | 0.0209104 | + | 0.0772980i | ||||
\(775\) | 42.8914 | − | 5.18732i | 1.54070 | − | 0.186334i | ||||
\(776\) | 1.09662 | + | 0.633133i | 0.0393663 | + | 0.0227281i | ||||
\(777\) | 1.37291 | + | 10.3327i | 0.0492528 | + | 0.370683i | ||||
\(778\) | −0.206605 | − | 0.0553596i | −0.00740714 | − | 0.00198474i | ||||
\(779\) | 21.8590 | + | 37.8609i | 0.783180 | + | 1.35651i | ||||
\(780\) | 30.9262 | + | 2.15360i | 1.10734 | + | 0.0771114i | ||||
\(781\) | −20.0061 | + | 34.6516i | −0.715874 | + | 1.23993i | ||||
\(782\) | 1.64974 | − | 1.64974i | 0.0589946 | − | 0.0589946i | ||||
\(783\) | −0.727739 | + | 5.68541i | −0.0260073 | + | 0.203180i | ||||
\(784\) | − | 3.70801i | − | 0.132429i | ||||||
\(785\) | 10.8014 | + | 32.3798i | 0.385520 | + | 1.15568i | ||||
\(786\) | 0.330042 | − | 2.53032i | 0.0117722 | − | 0.0902535i | ||||
\(787\) | 2.57034 | − | 9.59262i | 0.0916226 | − | 0.341940i | −0.904863 | − | 0.425702i | \(-0.860027\pi\) |
0.996486 | + | 0.0837624i | \(0.0266937\pi\) | |||||||
\(788\) | 10.2264 | − | 38.1656i | 0.364302 | − | 1.35959i | ||||
\(789\) | −27.0014 | − | 20.6676i | −0.961275 | − | 0.735786i | ||||
\(790\) | 1.92170 | + | 5.76075i | 0.0683711 | + | 0.204958i | ||||
\(791\) | 3.22750i | 0.114757i | ||||||||
\(792\) | −6.33709 | + | 0.0151697i | −0.225179 | + | 0.000539033i | ||||
\(793\) | 1.79752 | − | 1.79752i | 0.0638316 | − | 0.0638316i | ||||
\(794\) | 1.06017 | − | 1.83627i | 0.0376240 | − | 0.0651666i | ||||
\(795\) | −8.05977 | − | 16.5129i | −0.285850 | − | 0.585651i | ||||
\(796\) | 3.05780 | + | 5.29626i | 0.108381 | + | 0.187721i | ||||
\(797\) | −32.4043 | − | 8.68271i | −1.14782 | − | 0.307557i | −0.365729 | − | 0.930722i | \(-0.619180\pi\) |
−0.782091 | + | 0.623164i | \(0.785847\pi\) | |||||||
\(798\) | −1.98089 | − | 0.817734i | −0.0701227 | − | 0.0289475i | ||||
\(799\) | 7.81151 | + | 4.50998i | 0.276351 | + | 0.159551i | ||||
\(800\) | 7.93480 | − | 10.1181i | 0.280538 | − | 0.357730i | ||||
\(801\) | −6.46835 | + | 24.3735i | −0.228548 | + | 0.861194i | ||||
\(802\) | −1.82415 | − | 1.82415i | −0.0644130 | − | 0.0644130i | ||||
\(803\) | −2.11721 | + | 0.567305i | −0.0747147 | + | 0.0200198i | ||||
\(804\) | 32.8052 | − | 42.8587i | 1.15695 | − | 1.51151i | ||||
\(805\) | 7.54962 | + | 11.4288i | 0.266089 | + | 0.402812i | ||||
\(806\) | 6.80081 | − | 3.92645i | 0.239548 | − | 0.138303i | ||||
\(807\) | 17.9707 | + | 23.3620i | 0.632599 | + | 0.822380i | ||||
\(808\) | −2.39313 | − | 8.93127i | −0.0841899 | − | 0.314201i | ||||
\(809\) | −23.3160 | −0.819748 | −0.409874 | − | 0.912142i | \(-0.634427\pi\) | ||||
−0.409874 | + | 0.912142i | \(0.634427\pi\) | |||||||
\(810\) | −1.43085 | − | 4.22187i | −0.0502751 | − | 0.148341i | ||||
\(811\) | −37.7095 | −1.32416 | −0.662081 | − | 0.749433i | \(-0.730326\pi\) | ||||
−0.662081 | + | 0.749433i | \(0.730326\pi\) | |||||||
\(812\) | 0.556990 | + | 2.07872i | 0.0195465 | + | 0.0729486i | ||||
\(813\) | 19.1229 | + | 24.8598i | 0.670670 | + | 0.871872i | ||||
\(814\) | 2.78647 | − | 1.60877i | 0.0976656 | − | 0.0563873i | ||||
\(815\) | 4.98894 | − | 24.4079i | 0.174755 | − | 0.854973i | ||||
\(816\) | 6.71222 | − | 8.76925i | 0.234975 | − | 0.306985i | ||||
\(817\) | −18.0880 | + | 4.84666i | −0.632818 | + | 0.169563i | ||||
\(818\) | 4.90553 | + | 4.90553i | 0.171518 | + | 0.171518i | ||||
\(819\) | 3.15724 | − | 11.8968i | 0.110323 | − | 0.415709i | ||||
\(820\) | 2.05345 | + | 34.0816i | 0.0717097 | + | 1.19018i | ||||
\(821\) | −21.2475 | − | 12.2672i | −0.741542 | − | 0.428130i | 0.0810877 | − | 0.996707i | \(-0.474161\pi\) |
−0.822630 | + | 0.568577i | \(0.807494\pi\) | |||||||
\(822\) | 2.76622 | + | 1.14193i | 0.0964831 | + | 0.0398294i | ||||
\(823\) | 8.22162 | + | 2.20298i | 0.286588 | + | 0.0767909i | 0.399249 | − | 0.916843i | \(-0.369271\pi\) |
−0.112661 | + | 0.993633i | \(0.535938\pi\) | |||||||
\(824\) | −2.14508 | − | 3.71539i | −0.0747274 | − | 0.129432i | ||||
\(825\) | −20.1395 | − | 5.59861i | −0.701167 | − | 0.194919i | ||||
\(826\) | −0.310544 | + | 0.537878i | −0.0108052 | + | 0.0187152i | ||||
\(827\) | 14.2802 | − | 14.2802i | 0.496570 | − | 0.496570i | −0.413799 | − | 0.910368i | \(-0.635798\pi\) |
0.910368 | + | 0.413799i | \(0.135798\pi\) | |||||||
\(828\) | −35.8517 | + | 0.0858218i | −1.24593 | + | 0.00298251i | ||||
\(829\) | 29.7903i | 1.03466i | 0.855786 | + | 0.517330i | \(0.173074\pi\) | ||||
−0.855786 | + | 0.517330i | \(0.826926\pi\) | |||||||
\(830\) | 4.38526 | + | 2.19139i | 0.152215 | + | 0.0760641i | ||||
\(831\) | −31.2942 | − | 23.9535i | −1.08558 | − | 0.830936i | ||||
\(832\) | −7.27020 | + | 27.1328i | −0.252049 | + | 0.940660i | ||||
\(833\) | −0.445032 | + | 1.66088i | −0.0154195 | + | 0.0575462i | ||||
\(834\) | −0.344171 | + | 2.63864i | −0.0119177 | + | 0.0913687i | ||||
\(835\) | 32.3752 | − | 10.7999i | 1.12039 | − | 0.373746i | ||||
\(836\) | − | 26.3030i | − | 0.909708i | ||||||
\(837\) | 35.7185 | + | 27.2046i | 1.23461 | + | 0.940328i | ||||
\(838\) | −1.87260 | + | 1.87260i | −0.0646878 | + | 0.0646878i | ||||
\(839\) | 24.9879 | − | 43.2802i | 0.862676 | − | 1.49420i | −0.00665959 | − | 0.999978i | \(-0.502120\pi\) |
0.869336 | − | 0.494222i | \(-0.164547\pi\) | |||||||
\(840\) | −2.22444 | − | 2.55743i | −0.0767505 | − | 0.0882399i | ||||
\(841\) | 13.8916 | + | 24.0610i | 0.479021 | + | 0.829688i | ||||
\(842\) | 7.67205 | + | 2.05572i | 0.264396 | + | 0.0708448i | ||||
\(843\) | 2.07985 | + | 15.6532i | 0.0716337 | + | 0.539125i | ||||
\(844\) | −17.3828 | − | 10.0360i | −0.598341 | − | 0.345452i | ||||
\(845\) | 8.55678 | − | 0.515555i | 0.294362 | − | 0.0177356i | ||||
\(846\) | 0.910282 | + | 3.36498i | 0.0312962 | + | 0.115690i | ||||
\(847\) | −3.65863 | − | 3.65863i | −0.125712 | − | 0.125712i | ||||
\(848\) | 16.9927 | − | 4.55319i | 0.583533 | − | 0.156357i | ||||
\(849\) | −13.2361 | − | 31.8470i | −0.454263 | − | 1.09299i | ||||
\(850\) | −1.52298 | + | 1.14332i | −0.0522379 | + | 0.0392155i | ||||
\(851\) | 31.9250 | − | 18.4319i | 1.09438 | − | 0.631838i | ||||
\(852\) | 21.3745 | − | 51.7778i | 0.732279 | − | 1.77388i | ||||
\(853\) | 7.25470 | + | 27.0749i | 0.248396 | + | 0.927027i | 0.971646 | + | 0.236440i | \(0.0759808\pi\) |
−0.723250 | + | 0.690586i | \(0.757353\pi\) | |||||||
\(854\) | −0.137242 | −0.00469632 | ||||||||
\(855\) | 35.5163 | − | 11.9423i | 1.21463 | − | 0.408417i | ||||
\(856\) | 2.60222 | 0.0889420 | ||||||||
\(857\) | 1.38141 | + | 5.15548i | 0.0471879 | + | 0.176108i | 0.985498 | − | 0.169687i | \(-0.0542758\pi\) |
−0.938310 | + | 0.345795i | \(0.887609\pi\) | |||||||
\(858\) | −3.76634 | + | 0.500435i | −0.128581 | + | 0.0170846i | ||||
\(859\) | 29.5785 | − | 17.0772i | 1.00921 | − | 0.582665i | 0.0982463 | − | 0.995162i | \(-0.468677\pi\) |
0.910959 | + | 0.412497i | \(0.135343\pi\) | |||||||
\(860\) | −14.3286 | − | 2.92875i | −0.488603 | − | 0.0998696i | ||||
\(861\) | 13.4424 | + | 1.75336i | 0.458116 | + | 0.0597544i | ||||
\(862\) | 1.63060 | − | 0.436919i | 0.0555386 | − | 0.0148815i | ||||
\(863\) | −33.1610 | − | 33.1610i | −1.12881 | − | 1.12881i | −0.990370 | − | 0.138443i | \(-0.955790\pi\) |
−0.138443 | − | 0.990370i | \(-0.544210\pi\) | |||||||
\(864\) | 13.2421 | − | 1.79176i | 0.450507 | − | 0.0609568i | ||||
\(865\) | −35.3118 | + | 39.8398i | −1.20064 | + | 1.35459i | ||||
\(866\) | 5.18161 | + | 2.99161i | 0.176078 | + | 0.101659i | ||||
\(867\) | 19.2797 | − | 14.8305i | 0.654774 | − | 0.503672i | ||||
\(868\) | 16.2832 | + | 4.36307i | 0.552687 | + | 0.148092i | ||||
\(869\) | 14.7968 | + | 25.6289i | 0.501949 | + | 0.869401i | ||||
\(870\) | 0.784696 | + | 0.528955i | 0.0266037 | + | 0.0179332i | ||||
\(871\) | 32.7665 | − | 56.7532i | 1.11025 | − | 1.92301i | ||||
\(872\) | 1.19608 | − | 1.19608i | 0.0405044 | − | 0.0405044i | ||||
\(873\) | 0.0103907 | + | 4.34067i | 0.000351672 | + | 0.146909i | ||||
\(874\) | 7.57908i | 0.256366i | ||||||||
\(875\) | −4.78575 | − | 10.1043i | −0.161788 | − | 0.341587i | ||||
\(876\) | 2.83362 | − | 1.17770i | 0.0957391 | − | 0.0397907i | ||||
\(877\) | 9.51519 | − | 35.5112i | 0.321305 | − | 1.19913i | −0.596669 | − | 0.802488i | \(-0.703509\pi\) |
0.917974 | − | 0.396640i | \(-0.129824\pi\) | |||||||
\(878\) | 2.12002 | − | 7.91201i | 0.0715471 | − | 0.267017i | ||||
\(879\) | 19.2417 | − | 7.99715i | 0.649005 | − | 0.269737i | ||||
\(880\) | 8.94594 | − | 17.9020i | 0.301568 | − | 0.603478i | ||||
\(881\) | 18.7387i | 0.631322i | 0.948872 | + | 0.315661i | \(0.102226\pi\) | ||||
−0.948872 | + | 0.315661i | \(0.897774\pi\) | |||||||
\(882\) | −0.574696 | + | 0.333638i | −0.0193510 | + | 0.0112342i | ||||
\(883\) | 10.9800 | − | 10.9800i | 0.369505 | − | 0.369505i | −0.497791 | − | 0.867297i | \(-0.665856\pi\) |
0.867297 | + | 0.497791i | \(0.165856\pi\) | |||||||
\(884\) | 6.88172 | − | 11.9195i | 0.231457 | − | 0.400896i | ||||
\(885\) | −2.07517 | − | 10.6594i | −0.0697561 | − | 0.358312i | ||||
\(886\) | 3.73088 | + | 6.46207i | 0.125341 | + | 0.217097i | ||||
\(887\) | −9.47808 | − | 2.53964i | −0.318243 | − | 0.0852729i | 0.0961617 | − | 0.995366i | \(-0.469343\pi\) |
−0.414404 | + | 0.910093i | \(0.636010\pi\) | |||||||
\(888\) | −7.23051 | + | 5.56193i | −0.242640 | + | 0.186646i | ||||
\(889\) | 9.36754 | + | 5.40835i | 0.314177 | + | 0.181390i | ||||
\(890\) | 3.11570 | + | 2.76158i | 0.104438 | + | 0.0925685i | ||||
\(891\) | −10.9516 | − | 18.7607i | −0.366891 | − | 0.628506i | ||||
\(892\) | 5.65800 | + | 5.65800i | 0.189444 | + | 0.189444i | ||||
\(893\) | −28.3031 | + | 7.58378i | −0.947126 | + | 0.253782i | ||||
\(894\) | −5.84147 | − | 0.761932i | −0.195368 | − | 0.0254828i | ||||
\(895\) | −31.3573 | + | 20.7140i | −1.04816 | + | 0.692392i | ||||
\(896\) | 5.76762 | − | 3.32994i | 0.192683 | − | 0.111245i | ||||
\(897\) | −43.1516 | + | 5.73357i | −1.44079 | + | 0.191438i | ||||
\(898\) | 0.416826 | + | 1.55562i | 0.0139097 | + | 0.0519116i | ||||
\(899\) | −9.53151 | −0.317894 | ||||||||
\(900\) | 28.9816 | + | 4.05604i | 0.966052 | + | 0.135201i | ||||
\(901\) | −8.15780 | −0.271776 | ||||||||
\(902\) | −1.08304 | − | 4.04198i | −0.0360614 | − | 0.134583i | ||||
\(903\) | −2.21569 | + | 5.36730i | −0.0737334 | + | 0.178613i | ||||
\(904\) | −2.44616 | + | 1.41229i | −0.0813581 | + | 0.0469721i | ||||
\(905\) | 4.22742 | − | 2.79255i | 0.140524 | − | 0.0928274i | ||||
\(906\) | −2.49479 | − | 6.00262i | −0.0828838 | − | 0.199424i | ||||
\(907\) | −4.51507 | + | 1.20981i | −0.149921 | + | 0.0401711i | −0.332999 | − | 0.942927i | \(-0.608061\pi\) |
0.183078 | + | 0.983098i | \(0.441394\pi\) | |||||||
\(908\) | −35.5056 | − | 35.5056i | −1.17829 | − | 1.17829i | ||||
\(909\) | 22.3587 | − | 22.4660i | 0.741590 | − | 0.745149i | ||||
\(910\) | −1.52079 | − | 1.34795i | −0.0504137 | − | 0.0446840i | ||||
\(911\) | 3.38019 | + | 1.95155i | 0.111991 | + | 0.0646578i | 0.554949 | − | 0.831884i | \(-0.312738\pi\) |
−0.442958 | + | 0.896542i | \(0.646071\pi\) | |||||||
\(912\) | 4.72510 | + | 35.5617i | 0.156464 | + | 1.17757i | ||||
\(913\) | 23.0756 | + | 6.18309i | 0.763692 | + | 0.204631i | ||||
\(914\) | −1.77837 | − | 3.08022i | −0.0588232 | − | 0.101885i | ||||
\(915\) | 1.81057 | − | 1.57482i | 0.0598555 | − | 0.0520620i | ||||
\(916\) | 3.72912 | − | 6.45902i | 0.123214 | − | 0.213412i | ||||
\(917\) | 4.70300 | − | 4.70300i | 0.155307 | − | 0.155307i | ||||
\(918\) | −1.96307 | − | 0.251276i | −0.0647911 | − | 0.00829334i | ||||
\(919\) | 24.8685i | 0.820336i | 0.912010 | + | 0.410168i | \(0.134530\pi\) | ||||
−0.912010 | + | 0.410168i | \(0.865470\pi\) | |||||||
\(920\) | −5.35844 | + | 10.7230i | −0.176662 | + | 0.353526i | ||||
\(921\) | −3.13347 | + | 24.0232i | −0.103251 | + | 0.791592i | ||||
\(922\) | 0.368621 | − | 1.37571i | 0.0121399 | − | 0.0453066i | ||||
\(923\) | 17.6034 | − | 65.6966i | 0.579422 | − | 2.16243i | ||||
\(924\) | −6.47665 | − | 4.95740i | −0.213066 | − | 0.163087i | ||||
\(925\) | −27.9195 | + | 11.2212i | −0.917986 | + | 0.368952i | ||||
\(926\) | − | 4.04637i | − | 0.132972i | ||||||
\(927\) | 7.32270 | − | 12.7537i | 0.240509 | − | 0.418886i | ||||
\(928\) | −2.00590 | + | 2.00590i | −0.0658470 | + | 0.0658470i | ||||
\(929\) | 23.0525 | − | 39.9281i | 0.756327 | − | 1.31000i | −0.188384 | − | 0.982095i | \(-0.560325\pi\) |
0.944712 | − | 0.327902i | \(-0.106342\pi\) | |||||||
\(930\) | 6.66171 | − | 3.25151i | 0.218446 | − | 0.106621i | ||||
\(931\) | −2.79287 | − | 4.83739i | −0.0915326 | − | 0.158539i | ||||
\(932\) | −31.2191 | − | 8.36512i | −1.02261 | − | 0.274009i | ||||
\(933\) | 15.7642 | + | 6.50765i | 0.516097 | + | 0.213051i | ||||
\(934\) | 1.72998 | + | 0.998805i | 0.0566067 | + | 0.0326819i | ||||
\(935\) | −6.15562 | + | 6.94495i | −0.201310 | + | 0.227124i | ||||
\(936\) | 10.3983 | − | 2.81291i | 0.339879 | − | 0.0919429i | ||||
\(937\) | −14.6972 | − | 14.6972i | −0.480136 | − | 0.480136i | 0.425039 | − | 0.905175i | \(-0.360260\pi\) |
−0.905175 | + | 0.425039i | \(0.860260\pi\) | |||||||
\(938\) | −3.41746 | + | 0.915705i | −0.111584 | + | 0.0298988i | ||||
\(939\) | −29.2327 | + | 38.1913i | −0.953972 | + | 1.24633i | ||||
\(940\) | −22.4207 | − | 4.58275i | −0.731282 | − | 0.149473i | ||||
\(941\) | 20.8945 | − | 12.0634i | 0.681141 | − | 0.393257i | −0.119144 | − | 0.992877i | \(-0.538015\pi\) |
0.800285 | + | 0.599620i | \(0.204682\pi\) | |||||||
\(942\) | 3.57086 | + | 4.64213i | 0.116345 | + | 0.151249i | ||||
\(943\) | −12.4086 | − | 46.3096i | −0.404080 | − | 1.50805i | ||||
\(944\) | 10.3970 | 0.338392 | ||||||||
\(945\) | 3.75328 | − | 10.9960i | 0.122094 | − | 0.357701i | ||||
\(946\) | 1.79240 | 0.0582760 | ||||||||
\(947\) | 1.12942 | + | 4.21504i | 0.0367011 | + | 0.136970i | 0.981845 | − | 0.189682i | \(-0.0607459\pi\) |
−0.945144 | + | 0.326653i | \(0.894079\pi\) | |||||||
\(948\) | −25.2606 | − | 32.8388i | −0.820427 | − | 1.06656i | ||||
\(949\) | 3.22670 | − | 1.86293i | 0.104743 | − | 0.0604734i | ||||
\(950\) | 0.872110 | − | 6.12463i | 0.0282950 | − | 0.198709i | ||||
\(951\) | 17.1037 | − | 22.3453i | 0.554625 | − | 0.724595i | ||||
\(952\) | −1.45354 | + | 0.389475i | −0.0471095 | + | 0.0126230i | ||||
\(953\) | −30.6552 | − | 30.6552i | −0.993020 | − | 0.993020i | 0.00695595 | − | 0.999976i | \(-0.497786\pi\) |
−0.999976 | + | 0.00695595i | \(0.997786\pi\) | |||||||
\(954\) | −2.23465 | − | 2.22398i | −0.0723495 | − | 0.0720039i | ||||
\(955\) | −57.3193 | + | 3.45354i | −1.85481 | + | 0.111754i | ||||
\(956\) | −37.3801 | − | 21.5814i | −1.20896 | − | 0.697994i | ||||
\(957\) | 4.26267 | + | 1.75968i | 0.137792 | + | 0.0568824i | ||||
\(958\) | −0.867181 | − | 0.232360i | −0.0280173 | − | 0.00750722i | ||||
\(959\) | 3.90012 | + | 6.75520i | 0.125941 | + | 0.218137i | ||||
\(960\) | −8.62551 | + | 25.0738i | −0.278387 | + | 0.809253i | ||||
\(961\) | −21.8315 | + | 37.8133i | −0.704243 | + | 1.21978i | ||||
\(962\) | −3.86737 | + | 3.86737i | −0.124689 | + | 0.124689i | ||||
\(963\) | 4.47860 | + | 7.71446i | 0.144321 | + | 0.248595i | ||||
\(964\) | 48.2055i | 1.55260i | ||||||||
\(965\) | −9.46641 | + | 3.15786i | −0.304734 | + | 0.101655i | ||||
\(966\) | 1.86621 | + | 1.42845i | 0.0600444 | + | 0.0459596i | ||||
\(967\) | −14.2214 | + | 53.0750i | −0.457330 | + | 1.70678i | 0.223817 | + | 0.974631i | \(0.428148\pi\) |
−0.681147 | + | 0.732147i | \(0.738519\pi\) | |||||||
\(968\) | 1.17197 | − | 4.37387i | 0.0376687 | − | 0.140581i | ||||
\(969\) | 2.15163 | − | 16.4958i | 0.0691203 | − | 0.529921i | ||||
\(970\) | 0.641068 | + | 0.320352i | 0.0205835 | + | 0.0102859i | ||||
\(971\) | − | 15.6158i | − | 0.501136i | −0.968099 | − | 0.250568i | \(-0.919383\pi\) | ||
0.968099 | − | 0.250568i | \(-0.0806174\pi\) | |||||||
\(972\) | 18.6577 | + | 24.0163i | 0.598448 | + | 0.770323i | ||||
\(973\) | −4.90433 | + | 4.90433i | −0.157226 | + | 0.157226i | ||||
\(974\) | −3.03911 | + | 5.26390i | −0.0973795 | + | 0.168666i | ||||
\(975\) | 35.5305 | + | 0.332088i | 1.13789 | + | 0.0106353i | ||||
\(976\) | 1.14871 | + | 1.98962i | 0.0367693 | + | 0.0636862i | ||||
\(977\) | −42.8953 | − | 11.4938i | −1.37234 | − | 0.367718i | −0.504008 | − | 0.863699i | \(-0.668142\pi\) |
−0.868333 | + | 0.495981i | \(0.834809\pi\) | |||||||
\(978\) | −0.563003 | − | 4.23724i | −0.0180028 | − | 0.135492i | ||||
\(979\) | 17.5706 | + | 10.1444i | 0.561560 | + | 0.324217i | ||||
\(980\) | −0.262364 | − | 4.35453i | −0.00838093 | − | 0.139100i | ||||
\(981\) | 5.60440 | + | 1.48733i | 0.178935 | + | 0.0474867i | ||||
\(982\) | 2.38517 | + | 2.38517i | 0.0761138 | + | 0.0761138i | ||||
\(983\) | 60.4941 | − | 16.2093i | 1.92946 | − | 0.516998i | 0.951863 | − | 0.306523i | \(-0.0991658\pi\) |
0.977599 | − | 0.210474i | \(-0.0675009\pi\) | |||||||
\(984\) | 4.55324 | + | 10.9554i | 0.145152 | + | 0.349245i | ||||
\(985\) | 9.06902 | − | 44.3693i | 0.288963 | − | 1.41372i | ||||
\(986\) | 0.363850 | − | 0.210069i | 0.0115874 | − | 0.00668996i | ||||
\(987\) | −3.46699 | + | 8.39846i | −0.110355 | + | 0.267326i | ||||
\(988\) | 11.5720 | + | 43.1873i | 0.368155 | + | 1.37397i | ||||
\(989\) | 20.5358 | 0.653002 | ||||||||
\(990\) | −3.57953 | + | 0.224271i | −0.113765 | + | 0.00712780i | ||||
\(991\) | 0.0755681 | 0.00240050 | 0.00120025 | − | 0.999999i | \(-0.499618\pi\) | ||||
0.00120025 | + | 0.999999i | \(0.499618\pi\) | |||||||
\(992\) | 5.75129 | + | 21.4641i | 0.182604 | + | 0.681486i | ||||
\(993\) | −0.888951 | + | 0.118115i | −0.0282100 | + | 0.00374827i | ||||
\(994\) | −3.18002 | + | 1.83598i | −0.100864 | + | 0.0582338i | ||||
\(995\) | 3.86344 | + | 5.84856i | 0.122479 | + | 0.185412i | ||||
\(996\) | −33.1641 | − | 4.32576i | −1.05084 | − | 0.137067i | ||||
\(997\) | 40.7049 | − | 10.9068i | 1.28914 | − | 0.345423i | 0.451804 | − | 0.892117i | \(-0.350781\pi\) |
0.837332 | + | 0.546695i | \(0.184114\pi\) | |||||||
\(998\) | −4.82485 | − | 4.82485i | −0.152728 | − | 0.152728i | ||||
\(999\) | −28.9330 | − | 11.8629i | −0.915399 | − | 0.375325i |
(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 | 315.2.cc.a.92.19 | ✓ | 144 | |
3.2 | odd | 2 | 945.2.cf.a.197.18 | 144 | |||
5.3 | odd | 4 | inner | 315.2.cc.a.218.19 | yes | 144 | |
9.4 | even | 3 | 945.2.cf.a.827.18 | 144 | |||
9.5 | odd | 6 | inner | 315.2.cc.a.302.19 | yes | 144 | |
15.8 | even | 4 | 945.2.cf.a.8.18 | 144 | |||
45.13 | odd | 12 | 945.2.cf.a.638.18 | 144 | |||
45.23 | even | 12 | inner | 315.2.cc.a.113.19 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.cc.a.92.19 | ✓ | 144 | 1.1 | even | 1 | trivial | |
315.2.cc.a.113.19 | yes | 144 | 45.23 | even | 12 | inner | |
315.2.cc.a.218.19 | yes | 144 | 5.3 | odd | 4 | inner | |
315.2.cc.a.302.19 | yes | 144 | 9.5 | odd | 6 | inner | |
945.2.cf.a.8.18 | 144 | 15.8 | even | 4 | |||
945.2.cf.a.197.18 | 144 | 3.2 | odd | 2 | |||
945.2.cf.a.638.18 | 144 | 45.13 | odd | 12 | |||
945.2.cf.a.827.18 | 144 | 9.4 | even | 3 |