Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,2,Mod(127,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.bj (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.18653618192\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 300) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 127.11 | ||
Character | \(\chi\) | \(=\) | 900.127 |
Dual form | 900.2.bj.f.163.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/900\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(451\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.510631 | + | 1.31881i | −0.361070 | + | 0.932539i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.47851 | − | 1.34685i | −0.739256 | − | 0.673424i | ||||
\(5\) | 1.27726 | + | 1.83538i | 0.571208 | + | 0.820805i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.58459 | + | 3.58459i | −1.35485 | + | 1.35485i | −0.474702 | + | 0.880147i | \(0.657444\pi\) |
−0.880147 | + | 0.474702i | \(0.842556\pi\) | |||||||
\(8\) | 2.53121 | − | 1.26213i | 0.894918 | − | 0.446232i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.07272 | + | 0.747264i | −0.971679 | + | 0.236306i | ||||
\(11\) | −2.14789 | − | 2.95632i | −0.647613 | − | 0.891363i | 0.351380 | − | 0.936233i | \(-0.385713\pi\) |
−0.998993 | + | 0.0448703i | \(0.985713\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.29513 | + | 0.363512i | −0.636553 | + | 0.100820i | −0.466366 | − | 0.884592i | \(-0.654437\pi\) |
−0.170187 | + | 0.985412i | \(0.554437\pi\) | |||||||
\(14\) | −2.89699 | − | 6.55779i | −0.774253 | − | 1.75264i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.372000 | + | 3.98266i | 0.0929999 | + | 0.995666i | ||||
\(17\) | −0.0789506 | + | 0.154949i | −0.0191483 | + | 0.0375807i | −0.900383 | − | 0.435099i | \(-0.856713\pi\) |
0.881234 | + | 0.472680i | \(0.156713\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.48237 | − | 7.63995i | −0.569495 | − | 1.75272i | −0.654203 | − | 0.756319i | \(-0.726996\pi\) |
0.0847083 | − | 0.996406i | \(-0.473004\pi\) | |||||||
\(20\) | 0.583526 | − | 4.43390i | 0.130480 | − | 0.991451i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.99559 | − | 1.32307i | 1.06506 | − | 0.282079i | ||||
\(23\) | 3.36266 | + | 0.532593i | 0.701164 | + | 0.111053i | 0.496830 | − | 0.867848i | \(-0.334497\pi\) |
0.204334 | + | 0.978901i | \(0.434497\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.73721 | + | 4.68851i | −0.347442 | + | 0.937702i | ||||
\(26\) | 0.692558 | − | 3.21245i | 0.135822 | − | 0.630014i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 10.1278 | − | 0.471963i | 1.91397 | − | 0.0891927i | ||||
\(29\) | 3.85226 | + | 1.25167i | 0.715346 | + | 0.232430i | 0.644004 | − | 0.765022i | \(-0.277272\pi\) |
0.0713420 | + | 0.997452i | \(0.477272\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.48919 | + | 2.10846i | −1.16549 | + | 0.378691i | −0.826959 | − | 0.562263i | \(-0.809931\pi\) |
−0.338534 | + | 0.940954i | \(0.609931\pi\) | |||||||
\(32\) | −5.44233 | − | 1.54307i | −0.962077 | − | 0.272780i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.164034 | − | 0.183243i | −0.0281316 | − | 0.0314258i | ||||
\(35\) | −11.1575 | − | 2.00061i | −1.88597 | − | 0.338166i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.376041 | − | 2.37423i | −0.0618208 | − | 0.390321i | −0.999126 | − | 0.0418104i | \(-0.986687\pi\) |
0.937305 | − | 0.348511i | \(-0.113313\pi\) | |||||||
\(38\) | 11.3432 | + | 0.627421i | 1.84011 | + | 0.101781i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.54950 | + | 3.03365i | 0.877454 | + | 0.479662i | ||||
\(41\) | 1.04472 | + | 0.759030i | 0.163157 | + | 0.118541i | 0.666368 | − | 0.745623i | \(-0.267848\pi\) |
−0.503211 | + | 0.864164i | \(0.667848\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.11142 | − | 1.11142i | −0.169491 | − | 0.169491i | 0.617265 | − | 0.786755i | \(-0.288241\pi\) |
−0.786755 | + | 0.617265i | \(0.788241\pi\) | |||||||
\(44\) | −0.806027 | + | 7.26383i | −0.121513 | + | 1.09506i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.41947 | + | 4.16275i | −0.356731 | + | 0.613764i | ||||
\(47\) | 2.44309 | + | 4.79484i | 0.356362 | + | 0.699399i | 0.997695 | − | 0.0678636i | \(-0.0216183\pi\) |
−0.641333 | + | 0.767263i | \(0.721618\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 18.6986i | − | 2.67123i | ||||||
\(50\) | −5.29617 | − | 4.68514i | −0.748992 | − | 0.662579i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.88297 | + | 2.55373i | 0.538471 | + | 0.354138i | ||||
\(53\) | −5.47602 | − | 10.7473i | −0.752189 | − | 1.47625i | −0.875155 | − | 0.483842i | \(-0.839241\pi\) |
0.122966 | − | 0.992411i | \(-0.460759\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.68254 | − | 7.71817i | 0.361713 | − | 1.04072i | ||||
\(56\) | −4.54912 | + | 13.5976i | −0.607901 | + | 1.81705i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.61780 | + | 4.44125i | −0.475040 | + | 0.583164i | ||||
\(59\) | −8.45350 | − | 6.14182i | −1.10055 | − | 0.799597i | −0.119402 | − | 0.992846i | \(-0.538098\pi\) |
−0.981150 | + | 0.193249i | \(0.938098\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.26236 | − | 2.37025i | 0.417703 | − | 0.303479i | −0.359010 | − | 0.933334i | \(-0.616886\pi\) |
0.776713 | + | 0.629855i | \(0.216886\pi\) | |||||||
\(62\) | 0.532916 | − | 9.63464i | 0.0676804 | − | 1.22360i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.81404 | − | 6.38945i | 0.601755 | − | 0.798681i | ||||
\(65\) | −3.59866 | − | 3.74812i | −0.446358 | − | 0.464897i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.44454 | − | 3.28366i | −0.787326 | − | 0.401163i | 0.0136140 | − | 0.999907i | \(-0.495666\pi\) |
−0.800940 | + | 0.598745i | \(0.795666\pi\) | |||||||
\(68\) | 0.325423 | − | 0.122760i | 0.0394633 | − | 0.0148868i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.33581 | − | 13.6931i | 0.996319 | − | 1.63664i | ||||
\(71\) | 2.21118 | + | 0.718455i | 0.262419 | + | 0.0852650i | 0.437271 | − | 0.899330i | \(-0.355945\pi\) |
−0.174853 | + | 0.984595i | \(0.555945\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.489747 | + | 3.09214i | −0.0573205 | + | 0.361908i | 0.942310 | + | 0.334740i | \(0.108649\pi\) |
−0.999631 | + | 0.0271671i | \(0.991351\pi\) | |||||||
\(74\) | 3.32318 | + | 0.716429i | 0.386311 | + | 0.0832831i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.61964 | + | 14.6391i | −0.759324 | + | 1.67922i | ||||
\(77\) | 18.2965 | + | 2.89788i | 2.08508 | + | 0.330244i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.57257 | + | 4.83988i | −0.176928 | + | 0.544529i | −0.999716 | − | 0.0238193i | \(-0.992417\pi\) |
0.822788 | + | 0.568348i | \(0.192417\pi\) | |||||||
\(80\) | −6.83455 | + | 5.76966i | −0.764125 | + | 0.645068i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.53448 | + | 0.990196i | −0.169455 | + | 0.109349i | ||||
\(83\) | −4.71681 | + | 9.25727i | −0.517738 | + | 1.01612i | 0.473094 | + | 0.881012i | \(0.343137\pi\) |
−0.990831 | + | 0.135105i | \(0.956863\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.385231 | + | 0.0530066i | −0.0417841 | + | 0.00574938i | ||||
\(86\) | 2.03328 | − | 0.898229i | 0.219255 | − | 0.0968585i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −9.16802 | − | 4.77213i | −0.977314 | − | 0.508711i | ||||
\(89\) | 0.271710 | + | 0.373976i | 0.0288012 | + | 0.0396414i | 0.823175 | − | 0.567788i | \(-0.192201\pi\) |
−0.794374 | + | 0.607430i | \(0.792201\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.92404 | − | 9.53013i | 0.725837 | − | 0.999029i | ||||
\(92\) | −4.25442 | − | 5.31644i | −0.443554 | − | 0.554277i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.57099 | + | 0.773580i | −0.780888 | + | 0.0797887i | ||||
\(95\) | 10.8515 | − | 14.3143i | 1.11335 | − | 1.46862i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.98438 | + | 4.06824i | −0.810691 | + | 0.413067i | −0.809636 | − | 0.586932i | \(-0.800336\pi\) |
−0.00105434 | + | 0.999999i | \(0.500336\pi\) | |||||||
\(98\) | 24.6599 | + | 9.54808i | 2.49102 | + | 0.964501i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.88319 | − | 4.59226i | 0.888319 | − | 0.459226i | ||||
\(101\) | −13.9581 | −1.38889 | −0.694443 | − | 0.719548i | \(-0.744349\pi\) | ||||
−0.694443 | + | 0.719548i | \(0.744349\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.74857 | − | 0.890942i | 0.172292 | − | 0.0877872i | −0.365718 | − | 0.930726i | \(-0.619176\pi\) |
0.538010 | + | 0.842939i | \(0.319176\pi\) | |||||||
\(104\) | −5.35064 | + | 3.81688i | −0.524674 | + | 0.374276i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 16.9698 | − | 1.73392i | 1.64826 | − | 0.168414i | ||||
\(107\) | 1.69891 | − | 1.69891i | 0.164239 | − | 0.164239i | −0.620202 | − | 0.784442i | \(-0.712950\pi\) |
0.784442 | + | 0.620202i | \(0.212950\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.28790 | + | 10.0309i | −0.698054 | + | 0.960790i | 0.301918 | + | 0.953334i | \(0.402373\pi\) |
−0.999972 | + | 0.00745557i | \(0.997627\pi\) | |||||||
\(110\) | 8.80900 | + | 7.47888i | 0.839906 | + | 0.713084i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −15.6097 | − | 12.9428i | −1.47498 | − | 1.22298i | ||||
\(113\) | 2.53451 | − | 0.401427i | 0.238427 | − | 0.0377631i | −0.0360775 | − | 0.999349i | \(-0.511486\pi\) |
0.274504 | + | 0.961586i | \(0.411486\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.31749 | + | 6.85201i | 0.309357 | + | 0.638953i | ||||
\(116\) | −4.00980 | − | 7.03902i | −0.372300 | − | 0.653557i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.4165 | − | 8.01234i | 1.14303 | − | 0.737596i | ||||
\(119\) | −0.272424 | − | 0.838435i | −0.0249731 | − | 0.0768593i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.727187 | + | 2.23805i | −0.0661079 | + | 0.203459i | ||||
\(122\) | 1.46004 | + | 5.51276i | 0.132186 | + | 0.499101i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.4341 | + | 5.62256i | 1.11662 | + | 0.504921i | ||||
\(125\) | −10.8240 | + | 2.80002i | −0.968132 | + | 0.250441i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.925072 | + | 5.84068i | −0.0820869 | + | 0.518276i | 0.912044 | + | 0.410092i | \(0.134504\pi\) |
−0.994131 | + | 0.108184i | \(0.965496\pi\) | |||||||
\(128\) | 5.96826 | + | 9.61144i | 0.527525 | + | 0.849540i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.78063 | − | 2.83203i | 0.594701 | − | 0.248386i | ||||
\(131\) | 7.60143 | − | 2.46985i | 0.664140 | − | 0.215792i | 0.0425014 | − | 0.999096i | \(-0.486467\pi\) |
0.621639 | + | 0.783304i | \(0.286467\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 36.2844 | + | 18.4878i | 3.14626 | + | 1.60310i | ||||
\(134\) | 7.62130 | − | 6.82238i | 0.658380 | − | 0.589364i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.00427381 | + | 0.491855i | −0.000366476 | + | 0.0421762i | ||||
\(137\) | −1.34244 | − | 8.47586i | −0.114693 | − | 0.724141i | −0.976277 | − | 0.216526i | \(-0.930527\pi\) |
0.861584 | − | 0.507615i | \(-0.169473\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00917 | + | 4.36592i | −0.509691 | + | 0.370312i | −0.812706 | − | 0.582674i | \(-0.802007\pi\) |
0.303015 | + | 0.952986i | \(0.402007\pi\) | |||||||
\(140\) | 13.8020 | + | 17.9854i | 1.16648 | + | 1.52005i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.07660 | + | 2.54926i | −0.174264 | + | 0.213929i | ||||
\(143\) | 6.00433 | + | 6.00433i | 0.502107 | + | 0.502107i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.62305 | + | 8.66906i | 0.217832 | + | 0.719926i | ||||
\(146\) | −3.82786 | − | 2.22482i | −0.316796 | − | 0.184128i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.64175 | + | 4.01680i | −0.217150 | + | 0.330179i | ||||
\(149\) | − | 2.32631i | − | 0.190579i | −0.995450 | − | 0.0952895i | \(-0.969622\pi\) | ||
0.995450 | − | 0.0952895i | \(-0.0303777\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 0.484681i | − | 0.0394428i | −0.999806 | − | 0.0197214i | \(-0.993722\pi\) | ||
0.999806 | − | 0.0197214i | \(-0.00627792\pi\) | |||||||
\(152\) | −15.9260 | − | 16.2052i | −1.29177 | − | 1.31442i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −13.1645 | + | 22.6498i | −1.06083 | + | 1.82517i | ||||
\(155\) | −12.1582 | − | 9.21704i | −0.976571 | − | 0.740330i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.830154 | − | 0.830154i | −0.0662535 | − | 0.0662535i | 0.673204 | − | 0.739457i | \(-0.264918\pi\) |
−0.739457 | + | 0.673204i | \(0.764918\pi\) | |||||||
\(158\) | −5.57987 | − | 4.54531i | −0.443911 | − | 0.361606i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.11915 | − | 11.9596i | −0.325647 | − | 0.945491i | ||||
\(161\) | −13.9629 | + | 10.1446i | −1.10043 | + | 0.799510i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.817862 | − | 5.16378i | −0.0640599 | − | 0.404458i | −0.998793 | − | 0.0491088i | \(-0.984362\pi\) |
0.934734 | − | 0.355349i | \(-0.115638\pi\) | |||||||
\(164\) | −0.522327 | − | 2.52931i | −0.0407869 | − | 0.197506i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.80002 | − | 10.9476i | −0.760629 | − | 0.849700i | ||||
\(167\) | 4.98818 | + | 2.54161i | 0.385997 | + | 0.196675i | 0.636211 | − | 0.771515i | \(-0.280501\pi\) |
−0.250214 | + | 0.968191i | \(0.580501\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.22828 | + | 2.34861i | −0.556021 | + | 0.180662i | ||||
\(170\) | 0.126805 | − | 0.535112i | 0.00972550 | − | 0.0410412i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.146335 | + | 3.14018i | 0.0111579 | + | 0.239436i | ||||
\(173\) | −1.74772 | + | 11.0347i | −0.132877 | + | 0.838951i | 0.827748 | + | 0.561101i | \(0.189622\pi\) |
−0.960624 | + | 0.277850i | \(0.910378\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.5792 | − | 23.0336i | −0.799712 | − | 1.74117i | ||||
\(176\) | 10.9750 | − | 9.65407i | 0.827272 | − | 0.727703i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.631946 | + | 0.167369i | −0.0473664 | + | 0.0125449i | ||||
\(179\) | −4.77193 | + | 14.6865i | −0.356671 | + | 1.09772i | 0.598364 | + | 0.801224i | \(0.295818\pi\) |
−0.955035 | + | 0.296495i | \(0.904182\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.03056 | + | 12.4048i | 0.299589 | + | 0.922040i | 0.981641 | + | 0.190737i | \(0.0610877\pi\) |
−0.682052 | + | 0.731303i | \(0.738912\pi\) | |||||||
\(182\) | 9.03279 | + | 13.9979i | 0.669555 | + | 1.03759i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 9.18381 | − | 2.89602i | 0.677039 | − | 0.213498i | ||||
\(185\) | 3.87730 | − | 3.72269i | 0.285065 | − | 0.273698i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.627656 | − | 0.0994109i | 0.0458987 | − | 0.00726965i | ||||
\(188\) | 2.84578 | − | 10.3797i | 0.207550 | − | 0.757018i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.3367 | + | 21.6204i | 0.967545 | + | 1.56851i | ||||
\(191\) | −3.56464 | + | 4.90630i | −0.257928 | + | 0.355007i | −0.918268 | − | 0.395959i | \(-0.870412\pi\) |
0.660340 | + | 0.750967i | \(0.270412\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.5167 | + | 15.5167i | −1.11692 | + | 1.11692i | −0.124726 | + | 0.992191i | \(0.539805\pi\) |
−0.992191 | + | 0.124726i | \(0.960195\pi\) | |||||||
\(194\) | −1.28817 | − | 12.6072i | −0.0924850 | − | 0.905147i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −25.1842 | + | 27.6461i | −1.79887 | + | 1.97472i | ||||
\(197\) | 5.39911 | − | 2.75099i | 0.384671 | − | 0.196000i | −0.250952 | − | 0.968000i | \(-0.580744\pi\) |
0.635623 | + | 0.772000i | \(0.280744\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.50614 | −0.602984 | −0.301492 | − | 0.953469i | \(-0.597485\pi\) | ||||
−0.301492 | + | 0.953469i | \(0.597485\pi\) | |||||||
\(200\) | 1.52028 | + | 14.0602i | 0.107500 | + | 0.994205i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.12745 | − | 18.4081i | 0.501486 | − | 1.29519i | ||||
\(203\) | −18.2955 | + | 9.32203i | −1.28409 | + | 0.654278i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0587314 | + | 2.88692i | −0.00410198 | + | 0.201632i | ||||
\(206\) | 0.282108 | + | 2.76098i | 0.0196554 | + | 0.192366i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.30153 | − | 9.00549i | −0.159583 | − | 0.624418i | ||||
\(209\) | −17.2542 | + | 23.7484i | −1.19350 | + | 1.64271i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.0641 | + | 19.3576i | 0.968216 | + | 1.33263i | 0.942943 | + | 0.332954i | \(0.108046\pi\) |
0.0252730 | + | 0.999681i | \(0.491954\pi\) | |||||||
\(212\) | −6.37860 | + | 23.2654i | −0.438084 | + | 1.59787i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.37302 | + | 3.10804i | 0.0938576 | + | 0.212462i | ||||
\(215\) | 0.620303 | − | 3.45946i | 0.0423043 | − | 0.235933i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.7031 | − | 30.8191i | 1.06600 | − | 2.09214i | ||||
\(218\) | −9.50746 | − | 14.7335i | −0.643927 | − | 0.997875i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −14.3614 | + | 7.79844i | −0.968243 | + | 0.525771i | ||||
\(221\) | 0.124876 | − | 0.384327i | 0.00840004 | − | 0.0258527i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.2020 | − | 1.93261i | −0.817106 | − | 0.129417i | −0.266129 | − | 0.963937i | \(-0.585745\pi\) |
−0.550977 | + | 0.834520i | \(0.685745\pi\) | |||||||
\(224\) | 25.0398 | − | 13.9772i | 1.67304 | − | 0.933893i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.764793 | + | 3.54751i | −0.0508733 | + | 0.235977i | ||||
\(227\) | −1.66272 | + | 10.4980i | −0.110358 | + | 0.696776i | 0.869025 | + | 0.494768i | \(0.164747\pi\) |
−0.979384 | + | 0.202008i | \(0.935253\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −27.1390 | − | 8.81799i | −1.79339 | − | 0.582709i | −0.793721 | − | 0.608282i | \(-0.791859\pi\) |
−0.999673 | + | 0.0255728i | \(0.991859\pi\) | |||||||
\(230\) | −10.7305 | + | 0.876286i | −0.707548 | + | 0.0577806i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.3307 | − | 1.69381i | 0.743894 | − | 0.111204i | ||||
\(233\) | 12.6044 | + | 6.42226i | 0.825741 | + | 0.420736i | 0.815180 | − | 0.579208i | \(-0.196638\pi\) |
0.0105616 | + | 0.999944i | \(0.496638\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.67986 | + | 10.6083i | −0.370513 | + | 0.692006i | ||||
\(236\) | 4.22650 | + | 20.4663i | 0.275121 | + | 1.33225i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.24484 | + | 0.0688554i | 0.0806913 | + | 0.00446324i | ||||
\(239\) | 11.1088 | − | 8.07104i | 0.718571 | − | 0.522072i | −0.167356 | − | 0.985896i | \(-0.553523\pi\) |
0.885927 | + | 0.463824i | \(0.153523\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.3875 | − | 8.27348i | −0.733531 | − | 0.532942i | 0.157147 | − | 0.987575i | \(-0.449770\pi\) |
−0.890679 | + | 0.454634i | \(0.849770\pi\) | |||||||
\(242\) | −2.58024 | − | 2.10184i | −0.165864 | − | 0.135111i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.01581 | − | 0.889470i | −0.513160 | − | 0.0569425i | ||||
\(245\) | 34.3190 | − | 23.8830i | 2.19256 | − | 1.52583i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.47457 | + | 16.6323i | 0.539224 | + | 1.05829i | ||||
\(248\) | −13.7643 | + | 13.5272i | −0.874036 | + | 0.858977i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.83440 | − | 15.7046i | 0.116018 | − | 0.993247i | ||||
\(251\) | − | 23.3921i | − | 1.47650i | −0.674529 | − | 0.738248i | \(-0.735653\pi\) | ||
0.674529 | − | 0.738248i | \(-0.264347\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.64811 | − | 11.0850i | −0.355094 | − | 0.696911i | ||||
\(254\) | −7.23037 | − | 4.20242i | −0.453673 | − | 0.263683i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.7232 | + | 2.96310i | −0.982702 | + | 0.185194i | ||||
\(257\) | −1.62654 | − | 1.62654i | −0.101461 | − | 0.101461i | 0.654554 | − | 0.756015i | \(-0.272856\pi\) |
−0.756015 | + | 0.654554i | \(0.772856\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.85860 | + | 7.16270i | 0.612584 | + | 0.445068i | ||||
\(260\) | 0.272512 | + | 10.3885i | 0.0169005 | + | 0.644266i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.624258 | + | 11.2860i | −0.0385668 | + | 0.697252i | ||||
\(263\) | 0.459613 | + | 2.90188i | 0.0283409 | + | 0.178938i | 0.997798 | − | 0.0663225i | \(-0.0211266\pi\) |
−0.969457 | + | 0.245260i | \(0.921127\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.7310 | − | 23.7776i | 0.782060 | − | 1.46065i | ||||
\(266\) | −42.9098 | + | 38.4117i | −2.63097 | + | 2.35517i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.10575 | + | 13.5347i | 0.311883 | + | 0.826766i | ||||
\(269\) | −6.22594 | + | 2.02293i | −0.379602 | + | 0.123340i | −0.492602 | − | 0.870255i | \(-0.663954\pi\) |
0.113000 | + | 0.993595i | \(0.463954\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.56017 | − | 2.78137i | −0.519993 | − | 0.168956i | 0.0372489 | − | 0.999306i | \(-0.488141\pi\) |
−0.557242 | + | 0.830350i | \(0.688141\pi\) | |||||||
\(272\) | −0.646480 | − | 0.256793i | −0.0391986 | − | 0.0155703i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.8635 | + | 2.55761i | 0.716702 | + | 0.154511i | ||||
\(275\) | 17.5920 | − | 4.93466i | 1.06084 | − | 0.297571i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −23.4349 | − | 3.71172i | −1.40807 | − | 0.223016i | −0.594317 | − | 0.804231i | \(-0.702577\pi\) |
−0.813750 | + | 0.581215i | \(0.802577\pi\) | |||||||
\(278\) | −2.68934 | − | 10.1543i | −0.161296 | − | 0.609015i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −30.7671 | + | 9.01832i | −1.83869 | + | 0.538948i | ||||
\(281\) | 3.61430 | + | 11.1237i | 0.215611 | + | 0.663582i | 0.999110 | + | 0.0421887i | \(0.0134331\pi\) |
−0.783499 | + | 0.621393i | \(0.786567\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.51629 | + | 4.93851i | −0.149578 | + | 0.293564i | −0.953622 | − | 0.301006i | \(-0.902678\pi\) |
0.804044 | + | 0.594570i | \(0.202678\pi\) | |||||||
\(284\) | −2.30160 | − | 4.04037i | −0.136575 | − | 0.239752i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.9846 | + | 4.85257i | −0.649531 | + | 0.286938i | ||||
\(287\) | −6.46569 | + | 1.02406i | −0.381658 | + | 0.0604486i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.97457 | + | 13.7288i | 0.586740 | + | 0.807578i | ||||
\(290\) | −12.7722 | − | 0.967390i | −0.750011 | − | 0.0568071i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.88874 | − | 3.91215i | 0.286092 | − | 0.228941i | ||||
\(293\) | −12.6498 | + | 12.6498i | −0.739007 | + | 0.739007i | −0.972386 | − | 0.233379i | \(-0.925022\pi\) |
0.233379 | + | 0.972386i | \(0.425022\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.475236 | − | 23.3601i | 0.0276693 | − | 1.36007i | ||||
\(296\) | −3.94844 | − | 5.53506i | −0.229498 | − | 0.321719i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.06796 | + | 1.18789i | 0.177722 | + | 0.0688124i | ||||
\(299\) | −7.91134 | −0.457524 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.96801 | 0.459268 | ||||||||
\(302\) | 0.639201 | + | 0.247493i | 0.0367819 | + | 0.0142416i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 29.5039 | − | 12.7285i | 1.69217 | − | 0.730030i | ||||
\(305\) | 8.51718 | + | 2.96024i | 0.487693 | + | 0.169503i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 19.3582 | − | 19.3582i | 1.10483 | − | 1.10483i | 0.111010 | − | 0.993819i | \(-0.464591\pi\) |
0.993819 | − | 0.111010i | \(-0.0354086\pi\) | |||||||
\(308\) | −23.1486 | − | 28.9271i | −1.31901 | − | 1.64828i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 18.3639 | − | 11.3279i | 1.04300 | − | 0.643379i | ||||
\(311\) | 19.4921 | + | 26.8285i | 1.10529 | + | 1.52131i | 0.828175 | + | 0.560470i | \(0.189379\pi\) |
0.277118 | + | 0.960836i | \(0.410621\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.1010 | − | 2.55014i | 0.910080 | − | 0.144143i | 0.316197 | − | 0.948694i | \(-0.397594\pi\) |
0.593883 | + | 0.804551i | \(0.297594\pi\) | |||||||
\(314\) | 1.51872 | − | 0.670912i | 0.0857061 | − | 0.0378618i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.84365 | − | 5.03781i | 0.497494 | − | 0.283399i | ||||
\(317\) | −0.737751 | + | 1.44792i | −0.0414362 | + | 0.0813232i | −0.910796 | − | 0.412856i | \(-0.864531\pi\) |
0.869360 | + | 0.494179i | \(0.164531\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.57388 | − | 14.0769i | −0.256088 | − | 0.788158i | ||||
\(320\) | 17.8758 | + | 0.674578i | 0.999289 | + | 0.0377101i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.24896 | − | 23.5946i | −0.348241 | − | 1.31487i | ||||
\(323\) | 1.37979 | + | 0.218537i | 0.0767735 | + | 0.0121597i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.28278 | − | 11.3922i | 0.126626 | − | 0.631926i | ||||
\(326\) | 7.22766 | + | 1.55818i | 0.400303 | + | 0.0862996i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.60239 | + | 0.602694i | 0.198909 | + | 0.0332782i | ||||
\(329\) | −25.9450 | − | 8.43005i | −1.43040 | − | 0.464764i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 28.9649 | − | 9.41126i | 1.59205 | − | 0.517290i | 0.626928 | − | 0.779077i | \(-0.284312\pi\) |
0.965126 | + | 0.261787i | \(0.0843118\pi\) | |||||||
\(332\) | 19.4420 | − | 7.33416i | 1.06702 | − | 0.402514i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.89901 | + | 5.28064i | −0.322780 | + | 0.288944i | ||||
\(335\) | −2.20461 | − | 16.0222i | −0.120451 | − | 0.875389i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.338783 | + | 2.13899i | 0.0184547 | + | 0.116518i | 0.995196 | − | 0.0979030i | \(-0.0312135\pi\) |
−0.976741 | + | 0.214421i | \(0.931213\pi\) | |||||||
\(338\) | 0.593613 | − | 10.7320i | 0.0322883 | − | 0.583743i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.640960 | + | 0.440476i | 0.0347609 | + | 0.0238882i | ||||
\(341\) | 20.1713 | + | 14.6553i | 1.09234 | + | 0.793631i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 41.9347 | + | 41.9347i | 2.26426 | + | 2.26426i | ||||
\(344\) | −4.21601 | − | 1.41048i | −0.227312 | − | 0.0760481i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −13.6602 | − | 7.93955i | −0.734376 | − | 0.426833i | ||||
\(347\) | 9.21046 | + | 18.0766i | 0.494444 | + | 0.970400i | 0.994533 | + | 0.104426i | \(0.0333006\pi\) |
−0.500089 | + | 0.865974i | \(0.666699\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 14.1136i | − | 0.755485i | −0.925911 | − | 0.377742i | \(-0.876701\pi\) | ||
0.925911 | − | 0.377742i | \(-0.123299\pi\) | |||||||
\(350\) | 35.7789 | − | 2.19030i | 1.91246 | − | 0.117076i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.12770 | + | 19.4036i | 0.379908 | + | 1.03421i | ||||
\(353\) | −2.65081 | − | 5.20251i | −0.141088 | − | 0.276901i | 0.809640 | − | 0.586927i | \(-0.199662\pi\) |
−0.950728 | + | 0.310025i | \(0.899662\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.50562 | + | 4.97600i | 0.0799098 | + | 0.264099i | ||||
\(356\) | 0.101963 | − | 0.918880i | 0.00540403 | − | 0.0487006i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −16.9320 | − | 13.7926i | −0.894882 | − | 0.728963i | ||||
\(359\) | −11.6169 | − | 8.44018i | −0.613117 | − | 0.445456i | 0.237393 | − | 0.971414i | \(-0.423707\pi\) |
−0.850511 | + | 0.525958i | \(0.823707\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −36.8354 | + | 26.7624i | −1.93870 | + | 1.40855i | ||||
\(362\) | −18.4177 | − | 1.01873i | −0.968011 | − | 0.0535431i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −23.0729 | + | 4.76478i | −1.20935 | + | 0.249742i | ||||
\(365\) | −6.30077 | + | 3.05060i | −0.329797 | + | 0.159676i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.4013 | + | 5.80923i | 0.595141 | + | 0.303239i | 0.725494 | − | 0.688228i | \(-0.241611\pi\) |
−0.130354 | + | 0.991468i | \(0.541611\pi\) | |||||||
\(368\) | −0.870232 | + | 13.5905i | −0.0453640 | + | 0.708453i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.92965 | + | 7.01434i | 0.152305 | + | 0.364658i | ||||
\(371\) | 58.1539 | + | 18.8954i | 3.01920 | + | 0.980998i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.82551 | − | 11.5258i | 0.0945215 | − | 0.596785i | −0.894275 | − | 0.447517i | \(-0.852308\pi\) |
0.988797 | − | 0.149268i | \(-0.0476917\pi\) | |||||||
\(374\) | −0.189396 | + | 0.878520i | −0.00979345 | + | 0.0454272i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.2357 | + | 9.05323i | 0.631008 | + | 0.466885i | ||||
\(377\) | −9.29641 | − | 1.47241i | −0.478790 | − | 0.0758328i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.06211 | + | 18.6573i | −0.311390 | + | 0.958359i | 0.665825 | + | 0.746108i | \(0.268080\pi\) |
−0.977215 | + | 0.212251i | \(0.931920\pi\) | |||||||
\(380\) | −35.3233 | + | 6.54848i | −1.81205 | + | 0.335930i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.65026 | − | 7.20638i | −0.237928 | − | 0.368710i | ||||
\(383\) | 6.04626 | − | 11.8664i | 0.308949 | − | 0.606347i | −0.683367 | − | 0.730075i | \(-0.739485\pi\) |
0.992316 | + | 0.123728i | \(0.0394851\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.0507 | + | 37.2823i | 0.919949 | + | 1.90008i | ||||
\(386\) | −12.5403 | − | 28.3869i | −0.638283 | − | 1.44485i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 17.2843 | + | 4.73879i | 0.877478 | + | 0.240576i | ||||
\(389\) | 14.6739 | + | 20.1969i | 0.743995 | + | 1.02402i | 0.998379 | + | 0.0569179i | \(0.0181273\pi\) |
−0.254384 | + | 0.967103i | \(0.581873\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.348009 | + | 0.478994i | −0.0175996 | + | 0.0242237i | ||||
\(392\) | −23.6001 | − | 47.3301i | −1.19199 | − | 2.39053i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.871071 | + | 8.52514i | 0.0438839 | + | 0.429490i | ||||
\(395\) | −10.8916 | + | 3.29553i | −0.548015 | + | 0.165816i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.79542 | − | 4.99102i | 0.491618 | − | 0.250492i | −0.190563 | − | 0.981675i | \(-0.561031\pi\) |
0.682181 | + | 0.731183i | \(0.261031\pi\) | |||||||
\(398\) | 4.34349 | − | 11.2180i | 0.217720 | − | 0.562306i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −19.3190 | − | 5.17460i | −0.965950 | − | 0.258730i | ||||
\(401\) | −17.4413 | −0.870979 | −0.435490 | − | 0.900194i | \(-0.643425\pi\) | ||||
−0.435490 | + | 0.900194i | \(0.643425\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.1270 | − | 7.19809i | 0.703718 | − | 0.358562i | ||||
\(404\) | 20.6373 | + | 18.7995i | 1.02674 | + | 0.935309i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.95172 | − | 28.8884i | −0.146492 | − | 1.43371i | ||||
\(407\) | −6.21128 | + | 6.21128i | −0.307882 | + | 0.307882i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.170633 | − | 0.234856i | 0.00843724 | − | 0.0116129i | −0.804778 | − | 0.593577i | \(-0.797715\pi\) |
0.813215 | + | 0.581964i | \(0.197715\pi\) | |||||||
\(410\) | −3.77731 | − | 1.55161i | −0.186548 | − | 0.0766284i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.78525 | − | 1.03779i | −0.186486 | − | 0.0511284i | ||||
\(413\) | 52.3183 | − | 8.28640i | 2.57441 | − | 0.407747i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.0152 | + | 3.16682i | −1.12977 | + | 0.155453i | ||||
\(416\) | 13.0517 | + | 1.56320i | 0.639915 | + | 0.0766420i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −22.5091 | − | 34.8817i | −1.10096 | − | 1.70612i | ||||
\(419\) | −7.74771 | − | 23.8450i | −0.378500 | − | 1.16490i | −0.941087 | − | 0.338166i | \(-0.890194\pi\) |
0.562586 | − | 0.826739i | \(-0.309806\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.37229 | − | 25.7672i | 0.408040 | − | 1.25582i | −0.510289 | − | 0.860003i | \(-0.670462\pi\) |
0.918330 | − | 0.395816i | \(-0.129538\pi\) | |||||||
\(422\) | −32.7106 | + | 8.66332i | −1.59233 | + | 0.421724i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −27.4255 | − | 20.2922i | −1.33190 | − | 0.985475i | ||||
\(425\) | −0.589327 | − | 0.639340i | −0.0285866 | − | 0.0310125i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.19788 | + | 20.1906i | −0.154756 | + | 0.977092i | ||||
\(428\) | −4.80002 | + | 0.223685i | −0.232018 | + | 0.0108122i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.24562 | + | 2.58457i | 0.204742 | + | 0.124639i | ||||
\(431\) | −16.1967 | + | 5.26263i | −0.780168 | + | 0.253492i | −0.671912 | − | 0.740631i | \(-0.734527\pi\) |
−0.108256 | + | 0.994123i | \(0.534527\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.15400 | − | 1.60704i | −0.151571 | − | 0.0772295i | 0.376560 | − | 0.926392i | \(-0.377107\pi\) |
−0.528131 | + | 0.849163i | \(0.677107\pi\) | |||||||
\(434\) | 32.6260 | + | 36.4466i | 1.56610 | + | 1.74949i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 24.2854 | − | 5.01517i | 1.16306 | − | 0.240183i | ||||
\(437\) | −4.27839 | − | 27.0127i | −0.204663 | − | 1.29219i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.6963 | + | 16.4898i | −1.08324 | + | 0.787016i | −0.978244 | − | 0.207457i | \(-0.933481\pi\) |
−0.104991 | + | 0.994473i | \(0.533481\pi\) | |||||||
\(440\) | −2.95130 | − | 22.9220i | −0.140698 | − | 1.09276i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.443089 | + | 0.360936i | 0.0210756 | + | 0.0171680i | ||||
\(443\) | −14.4728 | − | 14.4728i | −0.687624 | − | 0.687624i | 0.274082 | − | 0.961706i | \(-0.411626\pi\) |
−0.961706 | + | 0.274082i | \(0.911626\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.339343 | + | 0.976355i | −0.0160864 | + | 0.0462836i | ||||
\(446\) | 8.77945 | − | 15.1052i | 0.415719 | − | 0.715254i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.64720 | + | 40.1599i | 0.266805 | + | 1.89738i | ||||
\(449\) | − | 31.4725i | − | 1.48528i | −0.669692 | − | 0.742639i | \(-0.733574\pi\) | ||
0.669692 | − | 0.742639i | \(-0.266426\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 4.71882i | − | 0.222201i | ||||||
\(452\) | −4.28796 | − | 2.82008i | −0.201689 | − | 0.132646i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.9958 | − | 7.55340i | −0.609923 | − | 0.354499i | ||||
\(455\) | 26.3352 | + | 0.535761i | 1.23461 | + | 0.0251169i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.4538 | + | 11.4538i | 0.535787 | + | 0.535787i | 0.922289 | − | 0.386502i | \(-0.126317\pi\) |
−0.386502 | + | 0.922289i | \(0.626317\pi\) | |||||||
\(458\) | 25.4872 | − | 31.2884i | 1.19094 | − | 1.46201i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.32367 | − | 14.5989i | 0.201592 | − | 0.680679i | ||||
\(461\) | 27.0478 | − | 19.6514i | 1.25974 | − | 0.915257i | 0.260998 | − | 0.965339i | \(-0.415949\pi\) |
0.998745 | + | 0.0500827i | \(0.0159485\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.528273 | − | 3.33538i | −0.0245509 | − | 0.155008i | 0.972367 | − | 0.233456i | \(-0.0750036\pi\) |
−0.996918 | + | 0.0784479i | \(0.975004\pi\) | |||||||
\(464\) | −3.55196 | + | 15.8079i | −0.164896 | + | 0.733862i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.9059 | + | 13.3434i | −0.690504 | + | 0.618120i | ||||
\(467\) | 21.4459 | + | 10.9272i | 0.992398 | + | 0.505652i | 0.873275 | − | 0.487228i | \(-0.161992\pi\) |
0.119123 | + | 0.992880i | \(0.461992\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.8716 | − | 11.3305i | 1.61022 | − | 0.523193i | ||||
\(470\) | −11.0899 | − | 12.9076i | −0.511541 | − | 0.595381i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −29.1494 | − | 4.87680i | −1.34171 | − | 0.224473i | ||||
\(473\) | −0.898505 | + | 5.67294i | −0.0413133 | + | 0.260842i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 40.1324 | + | 1.63358i | 1.84140 | + | 0.0749537i | ||||
\(476\) | −0.726463 | + | 1.60655i | −0.0332974 | + | 0.0736362i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.97165 | + | 18.7718i | 0.227398 | + | 0.858600i | ||||
\(479\) | 0.487335 | − | 1.49986i | 0.0222669 | − | 0.0685305i | −0.939306 | − | 0.343082i | \(-0.888529\pi\) |
0.961572 | + | 0.274551i | \(0.0885293\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.72612 | + | 5.31246i | 0.0787045 | + | 0.242227i | ||||
\(482\) | 16.7259 | − | 10.7932i | 0.761845 | − | 0.491617i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.08947 | − | 2.32958i | 0.185885 | − | 0.105890i | ||||
\(485\) | −17.6649 | − | 9.45812i | −0.802121 | − | 0.429471i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.1551 | − | 1.60842i | 0.460173 | − | 0.0728843i | 0.0779561 | − | 0.996957i | \(-0.475161\pi\) |
0.382217 | + | 0.924073i | \(0.375161\pi\) | |||||||
\(488\) | 5.26616 | − | 10.1171i | 0.238388 | − | 0.457981i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.9728 | + | 57.4555i | 0.631226 | + | 2.59558i | ||||
\(491\) | 17.6012 | − | 24.2260i | 0.794333 | − | 1.09331i | −0.199222 | − | 0.979954i | \(-0.563842\pi\) |
0.993555 | − | 0.113351i | \(-0.0361585\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.498084 | + | 0.498084i | −0.0224326 | + | 0.0224326i | ||||
\(494\) | −26.2622 | + | 2.68338i | −1.18159 | + | 0.120731i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.8113 | − | 25.0599i | −0.485441 | − | 1.12522i | ||||
\(497\) | −10.5015 | + | 5.35080i | −0.471059 | + | 0.240016i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.8477 | 0.530374 | 0.265187 | − | 0.964197i | \(-0.414566\pi\) | ||||
0.265187 | + | 0.964197i | \(0.414566\pi\) | |||||||
\(500\) | 19.7747 | + | 10.4385i | 0.884351 | + | 0.466823i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 30.8497 | + | 11.9447i | 1.37689 | + | 0.533119i | ||||
\(503\) | −30.3925 | + | 15.4858i | −1.35514 | + | 0.690477i | −0.972387 | − | 0.233375i | \(-0.925023\pi\) |
−0.382750 | + | 0.923852i | \(0.625023\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.8282 | − | 25.6184i | −0.793343 | − | 1.14000i | ||||
\(506\) | 17.5032 | − | 1.78842i | 0.778110 | − | 0.0795048i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.23424 | − | 7.38958i | 0.409703 | − | 0.327860i | ||||
\(509\) | 15.7134 | − | 21.6276i | 0.696482 | − | 0.958626i | −0.303501 | − | 0.952831i | \(-0.598156\pi\) |
0.999983 | − | 0.00579453i | \(-0.00184447\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.32851 | − | 12.8396i | −0.412669 | − | 0.567990i | ||||
\(512\) | 4.12100 | − | 22.2490i | 0.182124 | − | 0.983276i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.97565 | − | 1.31453i | 0.131250 | − | 0.0579815i | ||||
\(515\) | 3.86860 | + | 2.07132i | 0.170471 | + | 0.0912734i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.92756 | − | 17.5213i | 0.392634 | − | 0.770587i | ||||
\(518\) | −14.4803 | + | 9.34412i | −0.636229 | + | 0.410557i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −13.8396 | − | 4.94529i | −0.606905 | − | 0.216865i | ||||
\(521\) | 8.01289 | − | 24.6611i | 0.351051 | − | 1.08042i | −0.607213 | − | 0.794539i | \(-0.707712\pi\) |
0.958264 | − | 0.285885i | \(-0.0922876\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −39.6455 | − | 6.27924i | −1.73358 | − | 0.274572i | −0.791793 | − | 0.610789i | \(-0.790852\pi\) |
−0.941785 | + | 0.336217i | \(0.890852\pi\) | |||||||
\(524\) | −14.5653 | − | 6.58626i | −0.636289 | − | 0.287722i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.06172 | − | 0.875648i | −0.177099 | − | 0.0381801i | ||||
\(527\) | 0.185620 | − | 1.17196i | 0.00808574 | − | 0.0510514i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.8505 | − | 3.52553i | −0.471759 | − | 0.153284i | ||||
\(530\) | 24.8573 | + | 28.9314i | 1.07973 | + | 1.25670i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −28.7466 | − | 76.2040i | −1.24632 | − | 3.30386i | ||||
\(533\) | −2.67367 | − | 1.36230i | −0.115809 | − | 0.0590079i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.28807 | + | 0.948184i | 0.228623 | + | 0.0409936i | ||||
\(536\) | −20.4569 | − | 0.177753i | −0.883603 | − | 0.00767777i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.511297 | − | 9.24379i | 0.0220436 | − | 0.398528i | ||||
\(539\) | −55.2790 | + | 40.1625i | −2.38103 | + | 1.72992i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.8700 | − | 10.0772i | −0.596319 | − | 0.433251i | 0.248252 | − | 0.968696i | \(-0.420144\pi\) |
−0.844570 | + | 0.535445i | \(0.820144\pi\) | |||||||
\(542\) | 8.03918 | − | 9.86898i | 0.345312 | − | 0.423909i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.668773 | − | 0.721458i | 0.0286734 | − | 0.0309323i | ||||
\(545\) | −27.7191 | − | 0.563916i | −1.18736 | − | 0.0241555i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.6963 | − | 24.9180i | −0.542857 | − | 1.06542i | −0.985652 | − | 0.168793i | \(-0.946013\pi\) |
0.442795 | − | 0.896623i | \(-0.353987\pi\) | |||||||
\(548\) | −9.43087 | + | 14.3397i | −0.402867 | + | 0.612563i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.47517 | + | 25.7203i | −0.105541 | + | 1.09672i | ||||
\(551\) | − | 32.5382i | − | 1.38617i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.7120 | − | 22.9860i | −0.498043 | − | 0.977465i | ||||
\(554\) | 16.8616 | − | 29.0108i | 0.716382 | − | 1.23255i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 14.7649 | + | 1.63837i | 0.626169 | + | 0.0694826i | ||||
\(557\) | −21.2811 | − | 21.2811i | −0.901710 | − | 0.901710i | 0.0938737 | − | 0.995584i | \(-0.470075\pi\) |
−0.995584 | + | 0.0938737i | \(0.970075\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.95487 | + | 2.14684i | 0.124978 | + | 0.0908018i | ||||
\(560\) | 3.81718 | − | 45.1809i | 0.161305 | − | 1.90924i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.5156 | − | 0.913516i | −0.696666 | − | 0.0385344i | ||||
\(563\) | 3.04270 | + | 19.2108i | 0.128234 | + | 0.809640i | 0.965033 | + | 0.262129i | \(0.0844247\pi\) |
−0.836798 | + | 0.547511i | \(0.815575\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.97400 | + | 4.13905i | 0.167187 | + | 0.174131i | ||||
\(566\) | −5.22805 | − | 5.84026i | −0.219751 | − | 0.245485i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.50374 | − | 0.972241i | 0.272891 | − | 0.0407943i | ||||
\(569\) | 30.0678 | − | 9.76960i | 1.26051 | − | 0.409563i | 0.398831 | − | 0.917024i | \(-0.369416\pi\) |
0.861675 | + | 0.507461i | \(0.169416\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.6115 | + | 7.99676i | 1.02996 | + | 0.334654i | 0.774774 | − | 0.632238i | \(-0.217864\pi\) |
0.255185 | + | 0.966892i | \(0.417864\pi\) | |||||||
\(572\) | −0.790557 | − | 16.9644i | −0.0330548 | − | 0.709317i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.95103 | − | 9.04993i | 0.0814346 | − | 0.377737i | ||||
\(575\) | −8.33872 | + | 14.8406i | −0.347749 | + | 0.618898i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.74572 | − | 0.593263i | −0.155936 | − | 0.0246979i | 0.0779781 | − | 0.996955i | \(-0.475154\pi\) |
−0.233914 | + | 0.972257i | \(0.575154\pi\) | |||||||
\(578\) | −23.1990 | + | 6.14420i | −0.964952 | + | 0.255565i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.79770 | − | 16.3502i | 0.323782 | − | 0.678903i | ||||
\(581\) | −16.2757 | − | 50.0914i | −0.675229 | − | 2.07814i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.0105 | + | 39.2728i | −0.828750 | + | 1.62651i | ||||
\(584\) | 2.66304 | + | 8.44498i | 0.110197 | + | 0.349456i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −10.2233 | − | 23.1420i | −0.422319 | − | 0.955986i | ||||
\(587\) | 8.90911 | − | 1.41106i | 0.367718 | − | 0.0582409i | 0.0301590 | − | 0.999545i | \(-0.490399\pi\) |
0.337559 | + | 0.941304i | \(0.390399\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 32.2171 | + | 44.3431i | 1.32748 | + | 1.82712i | ||||
\(590\) | 30.5648 | + | 12.5551i | 1.25833 | + | 0.516885i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.31588 | − | 2.38086i | 0.382880 | − | 0.0978527i | ||||
\(593\) | −32.7211 | + | 32.7211i | −1.34370 | + | 1.34370i | −0.451349 | + | 0.892348i | \(0.649057\pi\) |
−0.892348 | + | 0.451349i | \(0.850943\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.19089 | − | 1.57090i | 0.0488216 | − | 0.0644007i | ||||
\(596\) | −3.13319 | + | 3.43948i | −0.128341 | + | 0.140887i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.03977 | − | 10.4335i | 0.165199 | − | 0.426659i | ||||
\(599\) | −29.9007 | −1.22171 | −0.610854 | − | 0.791743i | \(-0.709174\pi\) | ||||
−0.610854 | + | 0.791743i | \(0.709174\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.0255 | 0.857649 | 0.428825 | − | 0.903388i | \(-0.358928\pi\) | ||||
0.428825 | + | 0.903388i | \(0.358928\pi\) | |||||||
\(602\) | −4.06871 | + | 10.5083i | −0.165828 | + | 0.428285i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.652791 | + | 0.716607i | −0.0265617 | + | 0.0291583i | ||||
\(605\) | −5.03647 | + | 1.52391i | −0.204762 | + | 0.0619559i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.79927 | + | 8.79927i | −0.357151 | + | 0.357151i | −0.862762 | − | 0.505611i | \(-0.831267\pi\) |
0.505611 | + | 0.862762i | \(0.331267\pi\) | |||||||
\(608\) | 1.72086 | + | 45.4096i | 0.0697902 | + | 1.84160i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.25313 | + | 9.72095i | −0.334159 | + | 0.393590i | ||||
\(611\) | −7.35018 | − | 10.1167i | −0.297357 | − | 0.409276i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.2679 | + | 2.73497i | −0.697445 | + | 0.110464i | −0.495082 | − | 0.868846i | \(-0.664862\pi\) |
−0.202363 | + | 0.979311i | \(0.564862\pi\) | |||||||
\(614\) | 15.6449 | + | 35.4146i | 0.631375 | + | 1.42922i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 49.9697 | − | 15.7575i | 2.01334 | − | 0.634887i | ||||
\(617\) | −14.0284 | + | 27.5323i | −0.564763 | + | 1.10841i | 0.415293 | + | 0.909688i | \(0.363679\pi\) |
−0.980056 | + | 0.198722i | \(0.936321\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.97483 | − | 15.3110i | −0.199955 | − | 0.615399i | −0.999883 | − | 0.0153026i | \(-0.995129\pi\) |
0.799928 | − | 0.600097i | \(-0.204871\pi\) | |||||||
\(620\) | 5.56212 | + | 30.0028i | 0.223380 | + | 1.20494i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −45.3349 | + | 12.0068i | −1.81776 | + | 0.481430i | ||||
\(623\) | −2.31452 | − | 0.366584i | −0.0927293 | − | 0.0146869i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.9642 | − | 16.2898i | −0.758568 | − | 0.651593i | ||||
\(626\) | −4.85849 | + | 22.5363i | −0.194185 | + | 0.900730i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.109302 | + | 2.34548i | 0.00436162 | + | 0.0935950i | ||||
\(629\) | 0.397574 | + | 0.129180i | 0.0158523 | + | 0.00515073i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.9039 | − | 6.46717i | 0.792362 | − | 0.257454i | 0.115253 | − | 0.993336i | \(-0.463232\pi\) |
0.677110 | + | 0.735882i | \(0.263232\pi\) | |||||||
\(632\) | 2.12806 | + | 14.2355i | 0.0846499 | + | 0.566259i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.53281 | − | 1.71230i | −0.0608756 | − | 0.0680043i | ||||
\(635\) | −11.9014 | + | 5.76221i | −0.472293 | + | 0.228666i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.79717 | + | 42.9156i | 0.269314 | + | 1.70038i | ||||
\(638\) | 20.9004 | + | 1.15605i | 0.827453 | + | 0.0457685i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −10.0176 | + | 23.2303i | −0.395980 | + | 0.918259i | ||||
\(641\) | −20.7955 | − | 15.1088i | −0.821375 | − | 0.596764i | 0.0957313 | − | 0.995407i | \(-0.469481\pi\) |
−0.917106 | + | 0.398644i | \(0.869481\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.3854 | − | 21.3854i | −0.843357 | − | 0.843357i | 0.145937 | − | 0.989294i | \(-0.453380\pi\) |
−0.989294 | + | 0.145937i | \(0.953380\pi\) | |||||||
\(644\) | 34.3076 | + | 3.80693i | 1.35191 | + | 0.150014i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.992771 | + | 1.70809i | −0.0390601 | + | 0.0672037i | ||||
\(647\) | −3.69522 | − | 7.25227i | −0.145274 | − | 0.285116i | 0.806891 | − | 0.590700i | \(-0.201148\pi\) |
−0.952165 | + | 0.305584i | \(0.901148\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 38.1832i | 1.49882i | ||||||||
\(650\) | 13.8585 | + | 8.82776i | 0.543575 | + | 0.346253i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.74560 | + | 8.73625i | −0.225015 | + | 0.342138i | ||||
\(653\) | −7.89301 | − | 15.4909i | −0.308878 | − | 0.606206i | 0.683428 | − | 0.730018i | \(-0.260488\pi\) |
−0.992306 | + | 0.123811i | \(0.960488\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.2421 | + | 10.7968i | 0.556486 | + | 0.421867i | ||||
\(656\) | −2.63433 | + | 4.44311i | −0.102853 | + | 0.173474i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 24.3659 | − | 29.9119i | 0.949884 | − | 1.16609i | ||||
\(659\) | 23.0988 | + | 16.7822i | 0.899800 | + | 0.653743i | 0.938415 | − | 0.345511i | \(-0.112294\pi\) |
−0.0386145 | + | 0.999254i | \(0.512294\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.1962 | − | 9.58763i | 0.513274 | − | 0.372916i | −0.300790 | − | 0.953690i | \(-0.597250\pi\) |
0.814064 | + | 0.580775i | \(0.197250\pi\) | |||||||
\(662\) | −2.37870 | + | 43.0048i | −0.0924510 | + | 1.67143i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.255334 | + | 29.3853i | −0.00990887 | + | 1.14037i | ||||
\(665\) | 12.4125 | + | 90.2093i | 0.481337 | + | 3.49816i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.2872 | + | 6.26065i | 0.475763 | + | 0.242413i | ||||
\(668\) | −3.95194 | − | 10.4761i | −0.152905 | − | 0.405333i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 22.2560 | + | 5.27398i | 0.859825 | + | 0.203752i | ||||
\(671\) | −14.0144 | − | 4.55355i | −0.541020 | − | 0.175788i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.95002 | + | 43.8807i | −0.267903 | + | 1.69148i | 0.376201 | + | 0.926538i | \(0.377230\pi\) |
−0.644104 | + | 0.764938i | \(0.722770\pi\) | |||||||
\(674\) | −2.99391 | − | 0.645444i | −0.115321 | − | 0.0248616i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.8503 | + | 6.26294i | 0.532705 | + | 0.240882i | ||||
\(677\) | 43.8185 | + | 6.94016i | 1.68408 | + | 0.266732i | 0.923804 | − | 0.382867i | \(-0.125063\pi\) |
0.760277 | + | 0.649599i | \(0.225063\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.0377 | − | 43.2037i | 0.538719 | − | 1.65801i | ||||
\(680\) | −0.908198 | + | 0.620383i | −0.0348278 | + | 0.0237906i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −29.6277 | + | 19.1187i | −1.13450 | + | 0.732092i | ||||
\(683\) | −10.0493 | + | 19.7229i | −0.384527 | + | 0.754676i | −0.999424 | − | 0.0339308i | \(-0.989197\pi\) |
0.614897 | + | 0.788607i | \(0.289197\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.8417 | − | 13.2898i | 0.528865 | − | 0.507776i | ||||
\(686\) | −76.7170 | + | 33.8907i | −2.92907 | + | 1.29395i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.01298 | − | 4.83988i | 0.152993 | − | 0.184519i | ||||
\(689\) | 16.4749 | + | 22.6758i | 0.627644 | + | 0.863878i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.55773 | + | 11.7787i | −0.325551 | + | 0.448083i | −0.940152 | − | 0.340755i | \(-0.889317\pi\) |
0.614601 | + | 0.788838i | \(0.289317\pi\) | |||||||
\(692\) | 17.4461 | − | 13.9610i | 0.663200 | − | 0.530717i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −28.5427 | + | 2.91640i | −1.08346 | + | 0.110705i | ||||
\(695\) | −15.6884 | − | 5.45267i | −0.595094 | − | 0.206831i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.200092 | + | 0.101952i | −0.00757903 | + | 0.00386171i | ||||
\(698\) | 18.6132 | + | 7.20685i | 0.704519 | + | 0.272783i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −15.3812 | + | 48.3040i | −0.581356 | + | 1.82572i | ||||
\(701\) | 25.3484 | 0.957396 | 0.478698 | − | 0.877980i | \(-0.341109\pi\) | ||||
0.478698 | + | 0.877980i | \(0.341109\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.2055 | + | 8.76666i | −0.648919 | + | 0.330641i | ||||
\(704\) | −29.2292 | − | 0.507993i | −1.10162 | − | 0.0191457i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.21469 | − | 0.839351i | 0.309164 | − | 0.0315894i | ||||
\(707\) | 50.0342 | − | 50.0342i | 1.88173 | − | 1.88173i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.90556 | − | 2.62277i | 0.0715646 | − | 0.0985003i | −0.771734 | − | 0.635945i | \(-0.780610\pi\) |
0.843299 | + | 0.537445i | \(0.180610\pi\) | |||||||
\(710\) | −7.33120 | − | 0.555278i | −0.275135 | − | 0.0208392i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.15976 | + | 0.603678i | 0.0434639 | + | 0.0226238i | ||||
\(713\) | −22.9439 | + | 3.63396i | −0.859256 | + | 0.136093i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.35111 | + | 18.6893i | −0.125324 | + | 0.698940i | ||||
\(716\) | 26.8358 | − | 15.2871i | 1.00290 | − | 0.571305i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 17.0629 | − | 11.0107i | 0.636783 | − | 0.410915i | ||||
\(719\) | −5.03398 | − | 15.4930i | −0.187736 | − | 0.577792i | 0.812249 | − | 0.583311i | \(-0.198243\pi\) |
−0.999985 | + | 0.00551941i | \(0.998243\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.07426 | + | 9.46159i | −0.114491 | + | 0.352368i | ||||
\(722\) | −16.4853 | − | 62.2445i | −0.613519 | − | 2.31650i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.7481 | − | 23.7692i | 0.399451 | − | 0.883375i | ||||
\(725\) | −12.5607 | + | 15.8869i | −0.466491 | + | 0.590025i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.01165 | + | 6.38733i | −0.0375201 | + | 0.236893i | −0.999320 | − | 0.0368591i | \(-0.988265\pi\) |
0.961800 | + | 0.273752i | \(0.0882647\pi\) | |||||||
\(728\) | 5.49791 | − | 32.8618i | 0.203766 | − | 1.21794i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.805790 | − | 9.86724i | −0.0298236 | − | 0.365203i | ||||
\(731\) | 0.259962 | − | 0.0844668i | 0.00961504 | − | 0.00312412i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.8807 | − | 16.7535i | −1.21447 | − | 0.618806i | −0.275007 | − | 0.961442i | \(-0.588680\pi\) |
−0.939468 | + | 0.342637i | \(0.888680\pi\) | |||||||
\(734\) | −13.4831 | + | 12.0697i | −0.497670 | + | 0.445501i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.4789 | − | 8.08739i | −0.644280 | − | 0.298105i | ||||
\(737\) | 4.13463 | + | 26.1050i | 0.152301 | + | 0.961591i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.37894 | + | 5.36112i | −0.271439 | + | 0.197212i | −0.715175 | − | 0.698946i | \(-0.753653\pi\) |
0.443736 | + | 0.896158i | \(0.353653\pi\) | |||||||
\(740\) | −10.7465 | + | 0.281905i | −0.395051 | + | 0.0103630i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −54.6145 | + | 67.0453i | −2.00496 | + | 2.46131i | ||||
\(743\) | 30.2418 | + | 30.2418i | 1.10946 | + | 1.10946i | 0.993221 | + | 0.116243i | \(0.0370853\pi\) |
0.116243 | + | 0.993221i | \(0.462915\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.26966 | − | 2.97131i | 0.156428 | − | 0.108860i | ||||
\(746\) | 14.2682 | + | 8.29295i | 0.522396 | + | 0.303626i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.06189 | − | 0.698377i | −0.0388265 | − | 0.0255352i | ||||
\(749\) | 12.1798i | 0.445039i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 30.4435i | − | 1.11090i | −0.831550 | − | 0.555450i | \(-0.812546\pi\) | ||
0.831550 | − | 0.555450i | \(-0.187454\pi\) | |||||||
\(752\) | −18.1874 | + | 11.5137i | −0.663226 | + | 0.419861i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.68886 | − | 11.5083i | 0.243594 | − | 0.419109i | ||||
\(755\) | 0.889571 | − | 0.619064i | 0.0323748 | − | 0.0225300i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.7586 | + | 21.7586i | 0.790830 | + | 0.790830i | 0.981629 | − | 0.190799i | \(-0.0611080\pi\) |
−0.190799 | + | 0.981629i | \(0.561108\pi\) | |||||||
\(758\) | −21.5099 | − | 17.5217i | −0.781273 | − | 0.636418i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.40098 | − | 49.9286i | 0.341009 | − | 1.81110i | ||||
\(761\) | 43.4573 | − | 31.5736i | 1.57533 | − | 1.14454i | 0.653505 | − | 0.756922i | \(-0.273298\pi\) |
0.921820 | − | 0.387619i | \(-0.126702\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.83266 | − | 62.0810i | −0.355966 | − | 2.24748i | ||||
\(764\) | 11.8784 | − | 2.45300i | 0.429745 | − | 0.0887466i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.5622 | + | 14.0332i | 0.453890 | + | 0.507041i | ||||
\(767\) | 21.6345 | + | 11.0233i | 0.781175 | + | 0.398029i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −31.7516 | + | 10.3167i | −1.14499 | + | 0.372031i | −0.819255 | − | 0.573429i | \(-0.805613\pi\) |
−0.325738 | + | 0.945460i | \(0.605613\pi\) | |||||||
\(770\) | −58.3854 | + | 4.76794i | −2.10406 | + | 0.171824i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 43.8403 | − | 2.04300i | 1.57785 | − | 0.0735292i | ||||
\(773\) | −0.594263 | + | 3.75203i | −0.0213742 | + | 0.134951i | −0.996068 | − | 0.0885934i | \(-0.971763\pi\) |
0.974694 | + | 0.223545i | \(0.0717628\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.38752 | − | 34.0875i | 0.0498412 | − | 1.22446i | ||||
\(776\) | −15.0755 | + | 20.3749i | −0.541177 | + | 0.731417i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −34.1287 | + | 9.03890i | −1.22357 | + | 0.324060i | ||||
\(779\) | 3.20558 | − | 9.86577i | 0.114852 | − | 0.353478i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.62538 | − | 8.08010i | −0.0939436 | − | 0.289129i | ||||
\(782\) | −0.453997 | − | 0.703546i | −0.0162349 | − | 0.0251588i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 74.4702 | − | 6.95587i | 2.65965 | − | 0.248424i | ||||
\(785\) | 0.463321 | − | 2.58397i | 0.0165366 | − | 0.0922257i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −49.7140 | + | 7.87392i | −1.77211 | + | 0.280675i | −0.955173 | − | 0.296048i | \(-0.904331\pi\) |
−0.816940 | + | 0.576723i | \(0.804331\pi\) | |||||||
\(788\) | −11.6878 | − | 3.20442i | −0.416361 | − | 0.114153i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.21540 | − | 16.0467i | 0.0432422 | − | 0.570916i | ||||
\(791\) | −7.64623 | + | 10.5241i | −0.271869 | + | 0.374195i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.62592 | + | 6.62592i | −0.235293 | + | 0.235293i | ||||
\(794\) | 1.58035 | + | 15.4669i | 0.0560847 | + | 0.548898i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.5764 | + | 11.4565i | 0.445760 | + | 0.406064i | ||||
\(797\) | −26.4812 | + | 13.4929i | −0.938013 | + | 0.477942i | −0.855012 | − | 0.518608i | \(-0.826450\pi\) |
−0.0830009 | + | 0.996549i | \(0.526450\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.935840 | −0.0331076 | ||||||||
\(800\) | 16.6892 | − | 22.8358i | 0.590051 | − | 0.807366i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.90609 | − | 23.0018i | 0.314485 | − | 0.812222i | ||||
\(803\) | 10.1933 | − | 5.19373i | 0.359712 | − | 0.183283i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −36.4535 | − | 12.6698i | −1.28482 | − | 0.446552i | ||||
\(806\) | 2.27920 | + | 22.3064i | 0.0802814 | + | 0.785711i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −35.3309 | + | 17.6170i | −1.24294 | + | 0.619765i | ||||
\(809\) | 0.842151 | − | 1.15912i | 0.0296085 | − | 0.0407525i | −0.793956 | − | 0.607975i | \(-0.791982\pi\) |
0.823565 | + | 0.567223i | \(0.191982\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.2040 | + | 15.4209i | 0.393425 | + | 0.541503i | 0.959079 | − | 0.283140i | \(-0.0913761\pi\) |
−0.565654 | + | 0.824643i | \(0.691376\pi\) | |||||||
\(812\) | 39.6055 | + | 10.8585i | 1.38988 | + | 0.381060i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −5.01982 | − | 11.3632i | −0.175945 | − | 0.398279i | ||||
\(815\) | 8.43285 | − | 8.09657i | 0.295390 | − | 0.283611i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.73226 | + | 11.2502i | −0.200546 | + | 0.393595i | ||||
\(818\) | 0.222599 | + | 0.344956i | 0.00778300 | + | 0.0120611i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.97508 | − | 4.18925i | 0.138816 | − | 0.146295i | ||||
\(821\) | −11.2314 | + | 34.5666i | −0.391978 | + | 1.20638i | 0.539312 | + | 0.842106i | \(0.318684\pi\) |
−0.931290 | + | 0.364278i | \(0.881316\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.2611 | + | 6.05996i | 1.33370 | + | 0.211237i | 0.782246 | − | 0.622970i | \(-0.214074\pi\) |
0.551452 | + | 0.834207i | \(0.314074\pi\) | |||||||
\(824\) | 3.30152 | − | 4.46209i | 0.115014 | − | 0.155444i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.7871 | + | 73.2291i | −0.549305 | + | 2.54797i | ||||
\(827\) | −5.96468 | + | 37.6595i | −0.207412 | + | 1.30955i | 0.635752 | + | 0.771894i | \(0.280690\pi\) |
−0.843164 | + | 0.537656i | \(0.819310\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 38.8788 | + | 12.6325i | 1.35032 | + | 0.438745i | 0.892799 | − | 0.450455i | \(-0.148738\pi\) |
0.457519 | + | 0.889200i | \(0.348738\pi\) | |||||||
\(830\) | 7.57582 | − | 31.9697i | 0.262961 | − | 1.10968i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.72618 | + | 16.4145i | −0.302526 | + | 0.569072i | ||||
\(833\) | 2.89733 | + | 1.47627i | 0.100387 | + | 0.0511496i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.70641 | + | 12.4015i | 0.0590527 | + | 0.429171i | ||||
\(836\) | 57.4962 | − | 11.8735i | 1.98855 | − | 0.410654i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 35.4032 | + | 1.95824i | 1.22298 | + | 0.0676463i | ||||
\(839\) | 23.4014 | − | 17.0021i | 0.807905 | − | 0.586977i | −0.105318 | − | 0.994439i | \(-0.533586\pi\) |
0.913222 | + | 0.407461i | \(0.133586\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.1883 | − | 7.40223i | −0.351320 | − | 0.255249i | ||||
\(842\) | 29.7069 | + | 24.1990i | 1.02377 | + | 0.833952i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.27778 | − | 47.5628i | 0.181669 | − | 1.63718i | ||||
\(845\) | −13.5430 | − | 10.2668i | −0.465893 | − | 0.353189i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.41583 | − | 10.6292i | −0.186090 | − | 0.365223i | ||||
\(848\) | 40.7658 | − | 25.8071i | 1.39990 | − | 0.886220i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.14410 | − | 0.450743i | 0.0392421 | − | 0.0154604i | ||||
\(851\) | − | 8.18402i | − | 0.280544i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.8285 | − | 36.9530i | −0.644675 | − | 1.26525i | −0.949778 | − | 0.312926i | \(-0.898691\pi\) |
0.305103 | − | 0.952319i | \(-0.401309\pi\) | |||||||
\(854\) | −24.9946 | − | 14.5273i | −0.855298 | − | 0.497115i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.15604 | − | 6.44453i | 0.0736919 | − | 0.220269i | ||||
\(857\) | −17.7064 | − | 17.7064i | −0.604839 | − | 0.604839i | 0.336754 | − | 0.941593i | \(-0.390671\pi\) |
−0.941593 | + | 0.336754i | \(0.890671\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.27825 | − | 3.10833i | −0.145972 | − | 0.106055i | 0.512402 | − | 0.858745i | \(-0.328756\pi\) |
−0.658374 | + | 0.752691i | \(0.728756\pi\) | |||||||
\(860\) | −5.57649 | + | 4.27940i | −0.190157 | + | 0.145926i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.33013 | − | 24.0476i | 0.0453046 | − | 0.819066i | ||||
\(863\) | −6.09322 | − | 38.4711i | −0.207416 | − | 1.30957i | −0.843156 | − | 0.537668i | \(-0.819305\pi\) |
0.635741 | − | 0.771903i | \(-0.280695\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.4851 | + | 10.8864i | −0.764515 | + | 0.370150i | ||||
\(866\) | 3.72991 | − | 3.33892i | 0.126747 | − | 0.113461i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −64.7259 | + | 24.4167i | −2.19694 | + | 0.828757i | ||||
\(869\) | 17.6859 | − | 5.74650i | 0.599954 | − | 0.194937i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.9847 | + | 5.19374i | 0.541620 | + | 0.175983i | ||||
\(872\) | −5.78682 | + | 34.5887i | −0.195967 | + | 1.17132i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 37.8092 | + | 8.15112i | 1.27892 | + | 0.275716i | ||||
\(875\) | 28.7629 | − | 48.8367i | 0.972362 | − | 1.65098i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.9564 | + | 3.47756i | 0.741416 | + | 0.117429i | 0.515706 | − | 0.856766i | \(-0.327530\pi\) |
0.225710 | + | 0.974195i | \(0.427530\pi\) | |||||||
\(878\) | −10.1575 | − | 38.3523i | −0.342799 | − | 1.29433i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 31.7368 | + | 7.81248i | 1.06985 | + | 0.263359i | ||||
\(881\) | −1.35026 | − | 4.15569i | −0.0454916 | − | 0.140009i | 0.925731 | − | 0.378183i | \(-0.123451\pi\) |
−0.971222 | + | 0.238174i | \(0.923451\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.2399 | + | 22.0596i | −0.378254 | + | 0.742365i | −0.999137 | − | 0.0415385i | \(-0.986774\pi\) |
0.620883 | + | 0.783903i | \(0.286774\pi\) | |||||||
\(884\) | −0.702261 | + | 0.400045i | −0.0236196 | + | 0.0134550i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 26.4771 | − | 11.6966i | 0.889517 | − | 0.392955i | ||||
\(887\) | −23.2179 | + | 3.67735i | −0.779581 | + | 0.123473i | −0.533527 | − | 0.845783i | \(-0.679134\pi\) |
−0.246053 | + | 0.969256i | \(0.579134\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.6204 | − | 24.2525i | −0.590971 | − | 0.813401i | ||||
\(890\) | −1.11435 | − | 0.946085i | −0.0373530 | − | 0.0317128i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 15.4379 | + | 19.2916i | 0.516898 | + | 0.645931i | ||||
\(893\) | 30.5677 | − | 30.5677i | 1.02291 | − | 1.02291i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −33.0502 | + | 10.0002i | −1.10475 | + | 0.334269i | ||||
\(896\) | −55.8469 | − | 13.0593i | −1.86571 | − | 0.436281i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 41.5062 | + | 16.0708i | 1.38508 | + | 0.536290i | ||||
\(899\) | −27.6371 | −0.921750 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.09762 | 0.0698818 | ||||||||
\(902\) | 6.22322 | + | 2.40957i | 0.207211 | + | 0.0802300i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.90872 | − | 4.21498i | 0.196521 | − | 0.140188i | ||||
\(905\) | −17.6194 | + | 23.2417i | −0.585687 | + | 0.772581i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.2451 | − | 17.2451i | 0.572613 | − | 0.572613i | −0.360245 | − | 0.932858i | \(-0.617307\pi\) |
0.932858 | + | 0.360245i | \(0.117307\pi\) | |||||||
\(908\) | 16.5975 | − | 13.2820i | 0.550809 | − | 0.440778i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −14.1541 | + | 34.4575i | −0.469204 | + | 1.14225i | ||||
\(911\) | −9.09960 | − | 12.5245i | −0.301483 | − | 0.414956i | 0.631218 | − | 0.775605i | \(-0.282555\pi\) |
−0.932702 | + | 0.360649i | \(0.882555\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 37.4986 | − | 5.93919i | 1.24102 | − | 0.196559i | ||||
\(914\) | −20.9540 | + | 9.25672i | −0.693098 | + | 0.306185i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 28.2488 | + | 49.5896i | 0.933368 | + | 1.63849i | ||||
\(917\) | −18.3946 | + | 36.1014i | −0.607443 | + | 1.19217i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.20487 | − | 3.70821i | −0.0397450 | − | 0.122323i | 0.929215 | − | 0.369539i | \(-0.120484\pi\) |
−0.968960 | + | 0.247216i | \(0.920484\pi\) | |||||||
\(920\) | 17.0454 | + | 13.1568i | 0.561971 | + | 0.433765i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.1050 | + | 45.7055i | 0.398656 | + | 1.50523i | ||||
\(923\) | −5.33610 | − | 0.845155i | −0.175640 | − | 0.0278186i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.7849 | + | 2.36146i | 0.387484 | + | 0.0776444i | ||||
\(926\) | 4.66849 | + | 1.00646i | 0.153416 | + | 0.0330743i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −19.0338 | − | 12.7563i | −0.624816 | − | 0.418747i | ||||
\(929\) | −38.5916 | − | 12.5392i | −1.26615 | − | 0.411397i | −0.402468 | − | 0.915434i | \(-0.631847\pi\) |
−0.863682 | + | 0.504037i | \(0.831847\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −142.856 | + | 46.4168i | −4.68193 | + | 1.52125i | ||||
\(932\) | −9.98595 | − | 26.4716i | −0.327101 | − | 0.867106i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.3619 | + | 22.7033i | −0.829866 | + | 0.742873i | ||||
\(935\) | 0.984137 | + | 1.02501i | 0.0321847 | + | 0.0335214i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.186494 | + | 1.17748i | 0.00609250 | + | 0.0384665i | 0.990547 | − | 0.137172i | \(-0.0438012\pi\) |
−0.984455 | + | 0.175638i | \(0.943801\pi\) | |||||||
\(938\) | −2.86379 | + | 51.7747i | −0.0935060 | + | 1.69050i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 22.6855 | − | 8.03452i | 0.739918 | − | 0.262057i | ||||
\(941\) | 33.0777 | + | 24.0323i | 1.07830 | + | 0.783432i | 0.977386 | − | 0.211463i | \(-0.0678229\pi\) |
0.100915 | + | 0.994895i | \(0.467823\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.10877 | + | 3.10877i | 0.101236 | + | 0.101236i | ||||
\(944\) | 21.3161 | − | 35.9522i | 0.693781 | − | 1.17014i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.02272 | − | 4.08173i | −0.228328 | − | 0.132709i | ||||
\(947\) | −9.49396 | − | 18.6329i | −0.308512 | − | 0.605489i | 0.683741 | − | 0.729725i | \(-0.260352\pi\) |
−0.992253 | + | 0.124236i | \(0.960352\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 7.27488i | − | 0.236152i | ||||||
\(950\) | −22.6472 | + | 52.0928i | −0.734772 | + | 1.69011i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.74778 | − | 1.77842i | −0.0566459 | − | 0.0576389i | ||||
\(953\) | 15.2023 | + | 29.8361i | 0.492450 | + | 0.966488i | 0.994802 | + | 0.101825i | \(0.0324680\pi\) |
−0.502352 | + | 0.864663i | \(0.667532\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.5579 | − | 0.275821i | −0.438722 | − | 0.00892535i | ||||
\(956\) | −27.2950 | − | 3.02878i | −0.882784 | − | 0.0979577i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.72918 | + | 1.40858i | 0.0558674 | + | 0.0455091i | ||||
\(959\) | 35.1946 | + | 25.5704i | 1.13649 | + | 0.825711i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.5844 | − | 9.14311i | 0.405949 | − | 0.294939i | ||||
\(962\) | −7.88753 | − | 0.436279i | −0.254304 | − | 0.0140662i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.69339 | + | 27.5696i | 0.183372 | + | 0.887958i | ||||
\(965\) | −48.2979 | − | 8.66011i | −1.55476 | − | 0.278779i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 42.1959 | + | 21.4999i | 1.35693 | + | 0.691390i | 0.972747 | − | 0.231868i | \(-0.0744838\pi\) |
0.384181 | + | 0.923258i | \(0.374484\pi\) | |||||||
\(968\) | 0.984057 | + | 6.58278i | 0.0316288 | + | 0.211579i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 21.4937 | − | 18.4670i | 0.690121 | − | 0.592940i | ||||
\(971\) | −2.37842 | − | 0.772795i | −0.0763271 | − | 0.0248002i | 0.270605 | − | 0.962691i | \(-0.412776\pi\) |
−0.346932 | + | 0.937890i | \(0.612776\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.89039 | − | 37.1904i | 0.188837 | − | 1.19227i | ||||
\(974\) | −3.06433 | + | 14.2140i | −0.0981875 | + | 0.455446i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.6535 | + | 12.1112i | 0.341010 | + | 0.387669i | ||||
\(977\) | 30.5830 | + | 4.84387i | 0.978436 | + | 0.154969i | 0.625114 | − | 0.780533i | \(-0.285052\pi\) |
0.353321 | + | 0.935502i | \(0.385052\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.521990 | − | 1.60652i | 0.0166829 | − | 0.0513446i | ||||
\(980\) | −82.9078 | − | 10.9111i | −2.64839 | − | 0.348543i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 22.9618 | + | 35.5832i | 0.732739 | + | 1.13551i | ||||
\(983\) | −13.7947 | + | 27.0737i | −0.439983 | + | 0.863516i | 0.559417 | + | 0.828887i | \(0.311025\pi\) |
−0.999400 | + | 0.0346297i | \(0.988975\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.9452 | + | 6.39568i | 0.380605 | + | 0.203783i | ||||
\(986\) | −0.402541 | − | 0.911215i | −0.0128195 | − | 0.0290190i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.87139 | − | 36.0050i | 0.314051 | − | 1.14547i | ||||
\(989\) | −3.14541 | − | 4.32928i | −0.100018 | − | 0.137663i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.41083 | − | 3.31822i | 0.0765826 | − | 0.105407i | −0.769007 | − | 0.639240i | \(-0.779249\pi\) |
0.845590 | + | 0.533833i | \(0.179249\pi\) | |||||||
\(992\) | 38.5698 | − | 1.46166i | 1.22459 | − | 0.0464077i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.69428 | − | 16.5818i | −0.0537392 | − | 0.525943i | ||||
\(995\) | −10.8646 | − | 15.6120i | −0.344430 | − | 0.494932i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.2908 | + | 11.3577i | −0.705957 | + | 0.359703i | −0.769825 | − | 0.638255i | \(-0.779656\pi\) |
0.0638675 | + | 0.997958i | \(0.479656\pi\) | |||||||
\(998\) | −6.04978 | + | 15.6248i | −0.191502 | + | 0.494594i | ||||
\(999\) | 0 | 0 |
(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 | 900.2.bj.f.127.11 | 240 | ||
3.2 | odd | 2 | 300.2.w.a.127.20 | yes | 240 | ||
4.3 | odd | 2 | inner | 900.2.bj.f.127.15 | 240 | ||
12.11 | even | 2 | 300.2.w.a.127.16 | ✓ | 240 | ||
25.13 | odd | 20 | inner | 900.2.bj.f.163.15 | 240 | ||
75.38 | even | 20 | 300.2.w.a.163.16 | yes | 240 | ||
100.63 | even | 20 | inner | 900.2.bj.f.163.11 | 240 | ||
300.263 | odd | 20 | 300.2.w.a.163.20 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.16 | ✓ | 240 | 12.11 | even | 2 | ||
300.2.w.a.127.20 | yes | 240 | 3.2 | odd | 2 | ||
300.2.w.a.163.16 | yes | 240 | 75.38 | even | 20 | ||
300.2.w.a.163.20 | yes | 240 | 300.263 | odd | 20 | ||
900.2.bj.f.127.11 | 240 | 1.1 | even | 1 | trivial | ||
900.2.bj.f.127.15 | 240 | 4.3 | odd | 2 | inner | ||
900.2.bj.f.163.11 | 240 | 100.63 | even | 20 | inner | ||
900.2.bj.f.163.15 | 240 | 25.13 | odd | 20 | inner |