Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 151.3 | ||
Character | \(\chi\) | \(=\) | 675.151 |
Dual form | 675.2.l.f.76.3 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23677 | − | 1.03778i | −0.874532 | − | 0.733819i | 0.0905154 | − | 0.995895i | \(-0.471149\pi\) |
−0.965047 | + | 0.262076i | \(0.915593\pi\) | |||||||
\(3\) | 1.21085 | + | 1.23848i | 0.699085 | + | 0.715039i | ||||
\(4\) | 0.105334 | + | 0.597379i | 0.0526670 | + | 0.298689i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.212279 | − | 2.78832i | −0.0866625 | − | 1.13833i | ||||
\(7\) | 0.302296 | − | 1.71440i | 0.114257 | − | 0.647984i | −0.872858 | − | 0.487974i | \(-0.837736\pi\) |
0.987115 | − | 0.160010i | \(-0.0511527\pi\) | |||||||
\(8\) | −1.12482 | + | 1.94825i | −0.397685 | + | 0.688811i | ||||
\(9\) | −0.0676836 | + | 2.99924i | −0.0225612 | + | 0.999745i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.93339 | − | 1.06767i | 0.884451 | − | 0.321914i | 0.140447 | − | 0.990088i | \(-0.455146\pi\) |
0.744005 | + | 0.668174i | \(0.232924\pi\) | |||||||
\(12\) | −0.612300 | + | 0.853791i | −0.176756 | + | 0.246468i | ||||
\(13\) | −1.44992 | + | 1.21663i | −0.402137 | + | 0.337433i | −0.821319 | − | 0.570469i | \(-0.806761\pi\) |
0.419182 | + | 0.907902i | \(0.362317\pi\) | |||||||
\(14\) | −2.15304 | + | 1.80662i | −0.575424 | + | 0.482838i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.55303 | − | 1.65717i | 1.13826 | − | 0.414292i | ||||
\(17\) | 3.21175 | + | 5.56291i | 0.778964 | + | 1.34921i | 0.932539 | + | 0.361068i | \(0.117588\pi\) |
−0.153576 | + | 0.988137i | \(0.549079\pi\) | |||||||
\(18\) | 3.19625 | − | 3.63914i | 0.753363 | − | 0.857754i | ||||
\(19\) | 2.43505 | − | 4.21762i | 0.558638 | − | 0.967590i | −0.438972 | − | 0.898501i | \(-0.644657\pi\) |
0.997611 | − | 0.0690890i | \(-0.0220092\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.48930 | − | 1.70150i | 0.543209 | − | 0.371297i | ||||
\(22\) | −4.73595 | − | 1.72374i | −1.00971 | − | 0.367504i | ||||
\(23\) | −0.481999 | − | 2.73355i | −0.100504 | − | 0.569985i | −0.992921 | − | 0.118774i | \(-0.962103\pi\) |
0.892418 | − | 0.451211i | \(-0.149008\pi\) | |||||||
\(24\) | −3.77487 | + | 0.965965i | −0.770542 | + | 0.197177i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.05582 | 0.599296 | ||||||||
\(27\) | −3.79646 | + | 3.54780i | −0.730629 | + | 0.682775i | ||||
\(28\) | 1.05599 | 0.199563 | ||||||||
\(29\) | 5.94510 | + | 4.98853i | 1.10398 | + | 0.926346i | 0.997686 | − | 0.0679886i | \(-0.0216582\pi\) |
0.106291 | + | 0.994335i | \(0.466103\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.687222 | − | 3.89743i | −0.123429 | − | 0.699999i | −0.982229 | − | 0.187688i | \(-0.939901\pi\) |
0.858800 | − | 0.512311i | \(-0.171210\pi\) | |||||||
\(32\) | −3.12289 | − | 1.13664i | −0.552054 | − | 0.200931i | ||||
\(33\) | 4.87419 | + | 2.34017i | 0.848487 | + | 0.407372i | ||||
\(34\) | 1.80085 | − | 10.2132i | 0.308844 | − | 1.75154i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.79881 | + | 0.275489i | −0.299802 | + | 0.0459148i | ||||
\(37\) | 0.406524 | + | 0.704120i | 0.0668321 | + | 0.115757i | 0.897505 | − | 0.441004i | \(-0.145377\pi\) |
−0.830673 | + | 0.556760i | \(0.812044\pi\) | |||||||
\(38\) | −7.38856 | + | 2.68922i | −1.19858 | + | 0.436248i | ||||
\(39\) | −3.26242 | − | 0.322550i | −0.522405 | − | 0.0516493i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.80103 | − | 4.86764i | 0.905969 | − | 0.760198i | −0.0653788 | − | 0.997861i | \(-0.520826\pi\) |
0.971348 | + | 0.237662i | \(0.0763811\pi\) | |||||||
\(42\) | −4.84447 | − | 0.478965i | −0.747519 | − | 0.0739059i | ||||
\(43\) | 2.47752 | − | 0.901745i | 0.377819 | − | 0.137515i | −0.146128 | − | 0.989266i | \(-0.546681\pi\) |
0.523947 | + | 0.851751i | \(0.324459\pi\) | |||||||
\(44\) | 0.946788 | + | 1.63988i | 0.142734 | + | 0.247222i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.24069 | + | 3.88100i | −0.330372 | + | 0.572222i | ||||
\(47\) | −1.24015 | + | 7.03326i | −0.180895 | + | 1.02591i | 0.750222 | + | 0.661186i | \(0.229946\pi\) |
−0.931117 | + | 0.364720i | \(0.881165\pi\) | |||||||
\(48\) | 7.56541 | + | 3.63227i | 1.09197 | + | 0.524273i | ||||
\(49\) | 3.73005 | + | 1.35763i | 0.532864 | + | 0.193947i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.00063 | + | 10.7136i | −0.420172 | + | 1.50020i | ||||
\(52\) | −0.879516 | − | 0.738001i | −0.121967 | − | 0.102342i | ||||
\(53\) | 1.86813 | 0.256608 | 0.128304 | − | 0.991735i | \(-0.459047\pi\) | ||||
0.128304 | + | 0.991735i | \(0.459047\pi\) | |||||||
\(54\) | 8.37719 | − | 0.447951i | 1.13999 | − | 0.0609584i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.00006 | + | 2.51735i | 0.400900 | + | 0.336395i | ||||
\(57\) | 8.17194 | − | 2.09115i | 1.08240 | − | 0.276979i | ||||
\(58\) | −2.17576 | − | 12.3394i | −0.285692 | − | 1.62024i | ||||
\(59\) | 0.971077 | + | 0.353443i | 0.126423 | + | 0.0460144i | 0.404457 | − | 0.914557i | \(-0.367460\pi\) |
−0.278034 | + | 0.960571i | \(0.589683\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.78476 | + | 10.1219i | −0.228515 | + | 1.29597i | 0.627335 | + | 0.778749i | \(0.284146\pi\) |
−0.855850 | + | 0.517224i | \(0.826966\pi\) | |||||||
\(62\) | −3.19472 | + | 5.53342i | −0.405730 | + | 0.702746i | ||||
\(63\) | 5.12144 | + | 1.02269i | 0.645241 | + | 0.128847i | ||||
\(64\) | −2.16250 | − | 3.74556i | −0.270312 | − | 0.468195i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −3.59969 | − | 7.95259i | −0.443092 | − | 0.978896i | ||||
\(67\) | 10.4447 | − | 8.76411i | 1.27602 | − | 1.07071i | 0.282239 | − | 0.959344i | \(-0.408923\pi\) |
0.993780 | − | 0.111363i | \(-0.0355215\pi\) | |||||||
\(68\) | −2.98486 | + | 2.50460i | −0.361967 | + | 0.303727i | ||||
\(69\) | 2.80183 | − | 3.90687i | 0.337301 | − | 0.470332i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.06389 | + | 7.03886i | 0.482294 | + | 0.835359i | 0.999793 | − | 0.0203253i | \(-0.00647020\pi\) |
−0.517499 | + | 0.855684i | \(0.673137\pi\) | |||||||
\(72\) | −5.76713 | − | 3.50548i | −0.679663 | − | 0.413124i | ||||
\(73\) | 4.92790 | − | 8.53538i | 0.576768 | − | 0.998991i | −0.419080 | − | 0.907950i | \(-0.637647\pi\) |
0.995847 | − | 0.0910412i | \(-0.0290195\pi\) | |||||||
\(74\) | 0.227941 | − | 1.29272i | 0.0264976 | − | 0.150276i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.77601 | + | 1.01039i | 0.318430 | + | 0.115899i | ||||
\(77\) | −0.943662 | − | 5.35177i | −0.107540 | − | 0.609891i | ||||
\(78\) | 3.70014 | + | 3.78459i | 0.418959 | + | 0.428520i | ||||
\(79\) | −11.3969 | − | 9.56310i | −1.28225 | − | 1.07593i | −0.992930 | − | 0.118700i | \(-0.962127\pi\) |
−0.289317 | − | 0.957233i | \(-0.593428\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.99084 | − | 0.405998i | −0.998982 | − | 0.0451109i | ||||
\(82\) | −12.2261 | −1.35015 | ||||||||
\(83\) | −7.06632 | − | 5.92935i | −0.775630 | − | 0.650830i | 0.166514 | − | 0.986039i | \(-0.446749\pi\) |
−0.942144 | + | 0.335209i | \(0.891193\pi\) | |||||||
\(84\) | 1.27865 | + | 1.30783i | 0.139512 | + | 0.142696i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −3.99995 | − | 1.45586i | −0.431326 | − | 0.156990i | ||||
\(87\) | 1.02041 | + | 13.4033i | 0.109399 | + | 1.43698i | ||||
\(88\) | −1.21946 | + | 6.91592i | −0.129995 | + | 0.737240i | ||||
\(89\) | −6.28136 | + | 10.8796i | −0.665823 | + | 1.15324i | 0.313238 | + | 0.949675i | \(0.398586\pi\) |
−0.979061 | + | 0.203565i | \(0.934747\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.64749 | + | 2.85354i | 0.172704 | + | 0.299132i | ||||
\(92\) | 1.58220 | − | 0.575872i | 0.164955 | − | 0.0600388i | ||||
\(93\) | 3.99478 | − | 5.57031i | 0.414239 | − | 0.577615i | ||||
\(94\) | 8.83274 | − | 7.41155i | 0.911028 | − | 0.764443i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.37364 | − | 5.24395i | −0.242259 | − | 0.535208i | ||||
\(97\) | 14.8157 | − | 5.39248i | 1.50431 | − | 0.547523i | 0.547136 | − | 0.837044i | \(-0.315718\pi\) |
0.957172 | + | 0.289521i | \(0.0934959\pi\) | |||||||
\(98\) | −3.20432 | − | 5.55004i | −0.323685 | − | 0.560639i | ||||
\(99\) | 3.00365 | + | 8.87020i | 0.301878 | + | 0.891489i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.11330 | − | 6.31385i | 0.110778 | − | 0.628251i | −0.877977 | − | 0.478703i | \(-0.841107\pi\) |
0.988754 | − | 0.149548i | \(-0.0477818\pi\) | |||||||
\(102\) | 14.8294 | − | 10.1363i | 1.46833 | − | 1.00364i | ||||
\(103\) | −6.79875 | − | 2.47454i | −0.669901 | − | 0.243824i | −0.0153956 | − | 0.999881i | \(-0.504901\pi\) |
−0.654505 | + | 0.756058i | \(0.727123\pi\) | |||||||
\(104\) | −0.739394 | − | 4.19331i | −0.0725035 | − | 0.411188i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.31046 | − | 1.93871i | −0.224412 | − | 0.188304i | ||||
\(107\) | 4.53705 | 0.438613 | 0.219307 | − | 0.975656i | \(-0.429620\pi\) | ||||
0.219307 | + | 0.975656i | \(0.429620\pi\) | |||||||
\(108\) | −2.51928 | − | 1.89422i | −0.242418 | − | 0.182271i | ||||
\(109\) | −7.64924 | −0.732665 | −0.366332 | − | 0.930484i | \(-0.619387\pi\) | ||||
−0.366332 | + | 0.930484i | \(0.619387\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.379802 | + | 1.35606i | −0.0360492 | + | 0.128711i | ||||
\(112\) | −1.46469 | − | 8.30668i | −0.138400 | − | 0.784908i | ||||
\(113\) | −3.16293 | − | 1.15121i | −0.297544 | − | 0.108297i | 0.188935 | − | 0.981990i | \(-0.439497\pi\) |
−0.486478 | + | 0.873693i | \(0.661719\pi\) | |||||||
\(114\) | −12.2770 | − | 5.89437i | −1.14985 | − | 0.552059i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.35382 | + | 4.07694i | −0.218547 | + | 0.378534i | ||||
\(117\) | −3.55083 | − | 4.43101i | −0.328274 | − | 0.409647i | ||||
\(118\) | −0.834208 | − | 1.44489i | −0.0767951 | − | 0.133013i | ||||
\(119\) | 10.5080 | − | 3.82459i | 0.963265 | − | 0.350600i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.961609 | + | 0.806886i | −0.0874190 | + | 0.0733532i | ||||
\(122\) | 12.7116 | − | 10.6663i | 1.15085 | − | 0.965681i | ||||
\(123\) | 13.0527 | + | 1.29050i | 1.17692 | + | 0.116360i | ||||
\(124\) | 2.25585 | − | 0.821063i | 0.202582 | − | 0.0737336i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.27274 | − | 6.57976i | −0.469733 | − | 0.586171i | ||||
\(127\) | −8.92679 | + | 15.4617i | −0.792125 | + | 1.37200i | 0.132524 | + | 0.991180i | \(0.457692\pi\) |
−0.924649 | + | 0.380820i | \(0.875642\pi\) | |||||||
\(128\) | −2.36670 | + | 13.4222i | −0.209189 | + | 1.18637i | ||||
\(129\) | 4.11671 | + | 1.97649i | 0.362456 | + | 0.174021i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.37367 | − | 13.4617i | −0.207388 | − | 1.17616i | −0.893637 | − | 0.448790i | \(-0.851855\pi\) |
0.686249 | − | 0.727367i | \(-0.259256\pi\) | |||||||
\(132\) | −0.884552 | + | 3.15824i | −0.0769904 | + | 0.274889i | ||||
\(133\) | −6.49461 | − | 5.44962i | −0.563154 | − | 0.472542i | ||||
\(134\) | −22.0129 | −1.90162 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −14.4506 | −1.23913 | ||||||||
\(137\) | −10.6720 | − | 8.95490i | −0.911773 | − | 0.765069i | 0.0606822 | − | 0.998157i | \(-0.480672\pi\) |
−0.972456 | + | 0.233089i | \(0.925117\pi\) | |||||||
\(138\) | −7.51970 | + | 1.92424i | −0.640119 | + | 0.163802i | ||||
\(139\) | 3.10046 | + | 17.5836i | 0.262977 | + | 1.49142i | 0.774734 | + | 0.632288i | \(0.217884\pi\) |
−0.511756 | + | 0.859131i | \(0.671005\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −10.2122 | + | 6.98031i | −0.860023 | + | 0.587848i | ||||
\(142\) | 2.27865 | − | 12.9229i | 0.191220 | − | 1.08446i | ||||
\(143\) | −2.95424 | + | 5.11689i | −0.247046 | + | 0.427896i | ||||
\(144\) | 4.66207 | + | 13.7678i | 0.388506 | + | 1.14731i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −14.9525 | + | 5.44228i | −1.23748 | + | 0.450406i | ||||
\(147\) | 2.83513 | + | 6.26349i | 0.233838 | + | 0.516604i | ||||
\(148\) | −0.377806 | + | 0.317017i | −0.0310554 | + | 0.0260586i | ||||
\(149\) | −13.7598 | + | 11.5458i | −1.12725 | + | 0.945872i | −0.998948 | − | 0.0458641i | \(-0.985396\pi\) |
−0.128298 | + | 0.991736i | \(0.540951\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.3678 | − | 6.68534i | 1.49475 | − | 0.544045i | 0.540057 | − | 0.841629i | \(-0.318403\pi\) |
0.954696 | + | 0.297583i | \(0.0961806\pi\) | |||||||
\(152\) | 5.47800 | + | 9.48817i | 0.444324 | + | 0.769592i | ||||
\(153\) | −16.9019 | + | 9.25628i | −1.36644 | + | 0.748326i | ||||
\(154\) | −4.38685 | + | 7.59825i | −0.353502 | + | 0.612284i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.150959 | − | 1.98287i | −0.0120864 | − | 0.158757i | ||||
\(157\) | 7.55982 | + | 2.75155i | 0.603339 | + | 0.219598i | 0.625586 | − | 0.780155i | \(-0.284860\pi\) |
−0.0222470 | + | 0.999753i | \(0.507082\pi\) | |||||||
\(158\) | 4.17098 | + | 23.6548i | 0.331825 | + | 1.88188i | ||||
\(159\) | 2.26203 | + | 2.31365i | 0.179391 | + | 0.183485i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.83212 | −0.380824 | ||||||||
\(162\) | 10.6983 | + | 9.83262i | 0.840538 | + | 0.772523i | ||||
\(163\) | −5.27505 | −0.413174 | −0.206587 | − | 0.978428i | \(-0.566236\pi\) | ||||
−0.206587 | + | 0.978428i | \(0.566236\pi\) | |||||||
\(164\) | 3.51887 | + | 2.95269i | 0.274778 | + | 0.230566i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.58611 | + | 14.6665i | 0.200721 | + | 1.13834i | ||||
\(167\) | −15.5499 | − | 5.65972i | −1.20329 | − | 0.437962i | −0.338919 | − | 0.940816i | \(-0.610061\pi\) |
−0.864372 | + | 0.502854i | \(0.832284\pi\) | |||||||
\(168\) | 0.514927 | + | 6.76366i | 0.0397275 | + | 0.521828i | ||||
\(169\) | −1.63534 | + | 9.27446i | −0.125795 | + | 0.713420i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 12.4848 | + | 7.58875i | 0.954740 | + | 0.580326i | ||||
\(172\) | 0.799651 | + | 1.38504i | 0.0609728 | + | 0.105608i | ||||
\(173\) | −18.3819 | + | 6.69046i | −1.39755 | + | 0.508666i | −0.927450 | − | 0.373948i | \(-0.878004\pi\) |
−0.470099 | + | 0.882614i | \(0.655782\pi\) | |||||||
\(174\) | 12.6476 | − | 17.6358i | 0.958811 | − | 1.33697i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.5865 | − | 9.72224i | 0.873367 | − | 0.732842i | ||||
\(177\) | 0.738095 | + | 1.63063i | 0.0554786 | + | 0.122566i | ||||
\(178\) | 19.0593 | − | 6.93701i | 1.42855 | − | 0.519951i | ||||
\(179\) | −0.604142 | − | 1.04640i | −0.0451557 | − | 0.0782119i | 0.842564 | − | 0.538596i | \(-0.181045\pi\) |
−0.887720 | + | 0.460384i | \(0.847712\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.2446 | + | 17.7442i | −0.761474 | + | 1.31891i | 0.180616 | + | 0.983554i | \(0.442191\pi\) |
−0.942090 | + | 0.335359i | \(0.891142\pi\) | |||||||
\(182\) | 0.923761 | − | 5.23891i | 0.0684738 | − | 0.388334i | ||||
\(183\) | −14.6969 | + | 10.0457i | −1.08642 | + | 0.742598i | ||||
\(184\) | 5.86781 | + | 2.13571i | 0.432581 | + | 0.157447i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −10.7214 | + | 2.74353i | −0.786130 | + | 0.201166i | ||||
\(187\) | 15.3607 | + | 12.8891i | 1.12328 | + | 0.942547i | ||||
\(188\) | −4.33215 | −0.315954 | ||||||||
\(189\) | 4.93471 | + | 7.58115i | 0.358947 | + | 0.551447i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.41048 | − | 1.18353i | −0.102059 | − | 0.0856373i | 0.590331 | − | 0.807162i | \(-0.298997\pi\) |
−0.692389 | + | 0.721524i | \(0.743442\pi\) | |||||||
\(192\) | 2.02035 | − | 7.21353i | 0.145806 | − | 0.520592i | ||||
\(193\) | −2.29931 | − | 13.0401i | −0.165508 | − | 0.938643i | −0.948539 | − | 0.316660i | \(-0.897438\pi\) |
0.783031 | − | 0.621983i | \(-0.213673\pi\) | |||||||
\(194\) | −23.9199 | − | 8.70613i | −1.71735 | − | 0.625064i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.418117 | + | 2.37126i | −0.0298655 | + | 0.169376i | ||||
\(197\) | −9.36409 | + | 16.2191i | −0.667164 | + | 1.15556i | 0.311530 | + | 0.950236i | \(0.399159\pi\) |
−0.978694 | + | 0.205325i | \(0.934175\pi\) | |||||||
\(198\) | 5.49046 | − | 14.0876i | 0.390190 | − | 1.00116i | ||||
\(199\) | −3.20552 | − | 5.55213i | −0.227233 | − | 0.393580i | 0.729754 | − | 0.683710i | \(-0.239635\pi\) |
−0.956987 | + | 0.290130i | \(0.906301\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 23.5011 | + | 2.32352i | 1.65764 | + | 0.163888i | ||||
\(202\) | −7.92927 | + | 6.65345i | −0.557901 | + | 0.468135i | ||||
\(203\) | 10.3495 | − | 8.68429i | 0.726394 | − | 0.609517i | ||||
\(204\) | −6.71612 | − | 0.664011i | −0.470222 | − | 0.0464901i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 5.84050 | + | 10.1160i | 0.406927 | + | 0.704818i | ||||
\(207\) | 8.23119 | − | 1.26061i | 0.572107 | − | 0.0876186i | ||||
\(208\) | −4.58539 | + | 7.94212i | −0.317939 | + | 0.550687i | ||||
\(209\) | 2.63993 | − | 14.9718i | 0.182608 | − | 1.03562i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.3119 | − | 5.57306i | −1.05411 | − | 0.383665i | −0.243899 | − | 0.969801i | \(-0.578426\pi\) |
−0.810213 | + | 0.586135i | \(0.800649\pi\) | |||||||
\(212\) | 0.196778 | + | 1.11598i | 0.0135148 | + | 0.0766461i | ||||
\(213\) | −3.79675 | + | 13.5561i | −0.260149 | + | 0.928846i | ||||
\(214\) | −5.61131 | − | 4.70845i | −0.383581 | − | 0.321863i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.64166 | − | 11.3871i | −0.179742 | − | 0.774794i | ||||
\(217\) | −6.88951 | −0.467690 | ||||||||
\(218\) | 9.46039 | + | 7.93821i | 0.640739 | + | 0.537643i | ||||
\(219\) | 16.5379 | − | 4.23194i | 1.11753 | − | 0.285968i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.4248 | − | 4.15829i | −0.768516 | − | 0.279717i | ||||
\(222\) | 1.87701 | − | 1.28299i | 0.125977 | − | 0.0861085i | ||||
\(223\) | −3.25026 | + | 18.4332i | −0.217654 | + | 1.23438i | 0.658588 | + | 0.752504i | \(0.271154\pi\) |
−0.876242 | + | 0.481872i | \(0.839957\pi\) | |||||||
\(224\) | −2.89269 | + | 5.01029i | −0.193276 | + | 0.334764i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.71713 | + | 4.70621i | 0.180741 | + | 0.313053i | ||||
\(227\) | −16.5040 | + | 6.00696i | −1.09541 | + | 0.398696i | −0.825622 | − | 0.564224i | \(-0.809175\pi\) |
−0.269787 | + | 0.962920i | \(0.586953\pi\) | |||||||
\(228\) | 2.10999 | + | 4.66147i | 0.139737 | + | 0.308714i | ||||
\(229\) | −5.79494 | + | 4.86253i | −0.382940 | + | 0.321325i | −0.813855 | − | 0.581067i | \(-0.802635\pi\) |
0.430915 | + | 0.902392i | \(0.358191\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.48545 | − | 7.64890i | 0.360916 | − | 0.503261i | ||||
\(232\) | −16.4061 | + | 5.97133i | −1.07711 | + | 0.392037i | ||||
\(233\) | 3.47331 | + | 6.01595i | 0.227544 | + | 0.394118i | 0.957080 | − | 0.289825i | \(-0.0935971\pi\) |
−0.729536 | + | 0.683943i | \(0.760264\pi\) | |||||||
\(234\) | −0.206829 | + | 9.16513i | −0.0135208 | + | 0.599143i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.108852 | + | 0.617330i | −0.00708566 | + | 0.0401848i | ||||
\(237\) | −1.95615 | − | 25.6943i | −0.127065 | − | 1.66902i | ||||
\(238\) | −16.9651 | − | 6.17478i | −1.09968 | − | 0.400252i | ||||
\(239\) | −3.56006 | − | 20.1901i | −0.230281 | − | 1.30599i | −0.852327 | − | 0.523009i | \(-0.824809\pi\) |
0.622046 | − | 0.782981i | \(-0.286302\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −17.8973 | − | 15.0176i | −1.15287 | − | 0.967369i | −0.153083 | − | 0.988213i | \(-0.548920\pi\) |
−0.999783 | + | 0.0208438i | \(0.993365\pi\) | |||||||
\(242\) | 2.02666 | 0.130279 | ||||||||
\(243\) | −10.3837 | − | 11.6266i | −0.666117 | − | 0.745847i | ||||
\(244\) | −6.23459 | −0.399129 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −14.8040 | − | 15.1418i | −0.943867 | − | 0.965408i | ||||
\(247\) | 1.60066 | + | 9.07779i | 0.101847 | + | 0.577606i | ||||
\(248\) | 8.36617 | + | 3.04504i | 0.531252 | + | 0.193360i | ||||
\(249\) | −1.21286 | − | 15.9311i | −0.0768616 | − | 1.00959i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.60669 | − | 7.97903i | 0.290772 | − | 0.503632i | −0.683221 | − | 0.730212i | \(-0.739421\pi\) |
0.973992 | + | 0.226580i | \(0.0727546\pi\) | |||||||
\(252\) | −0.0714732 | + | 3.16716i | −0.00450239 | + | 0.199513i | ||||
\(253\) | −4.33242 | − | 7.50397i | −0.272377 | − | 0.471770i | ||||
\(254\) | 27.0862 | − | 9.85857i | 1.69954 | − | 0.618581i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.2301 | − | 8.58408i | 0.639381 | − | 0.536505i | ||||
\(257\) | 19.7561 | − | 16.5773i | 1.23235 | − | 1.03406i | 0.234266 | − | 0.972172i | \(-0.424731\pi\) |
0.998083 | − | 0.0618912i | \(-0.0197132\pi\) | |||||||
\(258\) | −3.04028 | − | 6.71670i | −0.189279 | − | 0.418164i | ||||
\(259\) | 1.33004 | − | 0.484094i | 0.0826445 | − | 0.0300801i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −15.3642 | + | 17.4931i | −0.951018 | + | 1.08280i | ||||
\(262\) | −11.0346 | + | 19.1125i | −0.681719 | + | 1.18077i | ||||
\(263\) | 3.97396 | − | 22.5375i | 0.245045 | − | 1.38972i | −0.575343 | − | 0.817912i | \(-0.695131\pi\) |
0.820388 | − | 0.571807i | \(-0.193758\pi\) | |||||||
\(264\) | −10.0418 | + | 6.86386i | −0.618033 | + | 0.422441i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.37687 | + | 13.4799i | 0.145735 | + | 0.826507i | ||||
\(267\) | −21.0801 | + | 5.39425i | −1.29008 | + | 0.330123i | ||||
\(268\) | 6.33567 | + | 5.31626i | 0.387013 | + | 0.324742i | ||||
\(269\) | 18.4780 | 1.12662 | 0.563311 | − | 0.826245i | \(-0.309527\pi\) | ||||
0.563311 | + | 0.826245i | \(0.309527\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.64576 | 0.282210 | 0.141105 | − | 0.989995i | \(-0.454935\pi\) | ||||
0.141105 | + | 0.989995i | \(0.454935\pi\) | |||||||
\(272\) | 23.8419 | + | 20.0057i | 1.44563 | + | 1.21302i | ||||
\(273\) | −1.53920 | + | 5.49560i | −0.0931563 | + | 0.332609i | ||||
\(274\) | 3.90571 | + | 22.1504i | 0.235953 | + | 1.33815i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.62901 | + | 1.26223i | 0.158248 | + | 0.0759772i | ||||
\(277\) | 4.49325 | − | 25.4825i | 0.269973 | − | 1.53109i | −0.484517 | − | 0.874782i | \(-0.661005\pi\) |
0.754490 | − | 0.656311i | \(-0.227884\pi\) | |||||||
\(278\) | 14.4133 | − | 24.9645i | 0.864450 | − | 1.49727i | ||||
\(279\) | 11.7358 | − | 1.79735i | 0.702605 | − | 0.107604i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.1177 | − | 3.68254i | 0.603572 | − | 0.219682i | −0.0221165 | − | 0.999755i | \(-0.507040\pi\) |
0.625688 | + | 0.780073i | \(0.284818\pi\) | |||||||
\(282\) | 19.8742 | + | 1.96493i | 1.18349 | + | 0.117010i | ||||
\(283\) | 12.1469 | − | 10.1924i | 0.722056 | − | 0.605877i | −0.205897 | − | 0.978574i | \(-0.566011\pi\) |
0.927953 | + | 0.372697i | \(0.121567\pi\) | |||||||
\(284\) | −3.77680 | + | 3.16911i | −0.224112 | + | 0.188052i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.96393 | − | 3.26260i | 0.530048 | − | 0.192922i | ||||
\(287\) | −6.59148 | − | 11.4168i | −0.389083 | − | 0.673911i | ||||
\(288\) | 3.62042 | − | 9.28935i | 0.213335 | − | 0.547380i | ||||
\(289\) | −12.1307 | + | 21.0110i | −0.713569 | + | 1.23594i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 24.6181 | + | 11.8195i | 1.44314 | + | 0.692873i | ||||
\(292\) | 5.61793 | + | 2.04476i | 0.328765 | + | 0.119661i | ||||
\(293\) | 0.577683 | + | 3.27620i | 0.0337486 | + | 0.191398i | 0.997021 | − | 0.0771274i | \(-0.0245748\pi\) |
−0.963273 | + | 0.268525i | \(0.913464\pi\) | |||||||
\(294\) | 2.99369 | − | 10.6888i | 0.174595 | − | 0.623382i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.82907 | −0.106313 | ||||||||
\(297\) | −7.34864 | + | 14.4605i | −0.426411 | + | 0.839081i | ||||
\(298\) | 28.9998 | 1.67991 | ||||||||
\(299\) | 4.02459 | + | 3.37703i | 0.232748 | + | 0.195299i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.797010 | − | 4.52007i | −0.0459389 | − | 0.260532i | ||||
\(302\) | −29.6548 | − | 10.7935i | −1.70644 | − | 0.621093i | ||||
\(303\) | 9.16764 | − | 6.26632i | 0.526667 | − | 0.359990i | ||||
\(304\) | 4.09753 | − | 23.2382i | 0.235009 | − | 1.33280i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 30.5098 | + | 6.09245i | 1.74413 | + | 0.348282i | ||||
\(307\) | −2.19929 | − | 3.80928i | −0.125520 | − | 0.217407i | 0.796416 | − | 0.604749i | \(-0.206727\pi\) |
−0.921936 | + | 0.387342i | \(0.873393\pi\) | |||||||
\(308\) | 3.09763 | − | 1.12745i | 0.176504 | − | 0.0642422i | ||||
\(309\) | −5.16759 | − | 11.4164i | −0.293974 | − | 0.649459i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.8600 | + | 9.95173i | −0.672519 | + | 0.564311i | −0.913810 | − | 0.406142i | \(-0.866874\pi\) |
0.241290 | + | 0.970453i | \(0.422429\pi\) | |||||||
\(312\) | 4.29805 | − | 5.99320i | 0.243329 | − | 0.339298i | ||||
\(313\) | −10.1811 | + | 3.70561i | −0.575469 | + | 0.209454i | −0.613327 | − | 0.789829i | \(-0.710169\pi\) |
0.0378572 | + | 0.999283i | \(0.487947\pi\) | |||||||
\(314\) | −6.49430 | − | 11.2485i | −0.366495 | − | 0.634787i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.51232 | − | 7.81556i | 0.253838 | − | 0.439660i | ||||
\(317\) | 1.83589 | − | 10.4118i | 0.103114 | − | 0.584787i | −0.888843 | − | 0.458212i | \(-0.848490\pi\) |
0.991957 | − | 0.126576i | \(-0.0403987\pi\) | |||||||
\(318\) | −0.396565 | − | 5.20895i | −0.0222383 | − | 0.292104i | ||||
\(319\) | 22.7654 | + | 8.28593i | 1.27462 | + | 0.463923i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.49369 | + | 5.61906i | 0.306628 | + | 0.313626i | ||||
\(322\) | 5.97624 | + | 5.01466i | 0.333043 | + | 0.279456i | ||||
\(323\) | 31.2831 | 1.74064 | ||||||||
\(324\) | −0.704506 | − | 5.41370i | −0.0391392 | − | 0.300761i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 6.52405 | + | 5.47433i | 0.361334 | + | 0.303195i | ||||
\(327\) | −9.26209 | − | 9.47346i | −0.512195 | − | 0.523884i | ||||
\(328\) | 2.95826 | + | 16.7771i | 0.163342 | + | 0.926361i | ||||
\(329\) | 11.6829 | + | 4.25225i | 0.644102 | + | 0.234434i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.83100 | + | 10.3841i | −0.100641 | + | 0.570762i | 0.892231 | + | 0.451578i | \(0.149139\pi\) |
−0.992872 | + | 0.119184i | \(0.961972\pi\) | |||||||
\(332\) | 2.79774 | − | 4.84583i | 0.153546 | − | 0.265950i | ||||
\(333\) | −2.13934 | + | 1.17160i | −0.117235 | + | 0.0642035i | ||||
\(334\) | 13.3583 | + | 23.1372i | 0.730931 | + | 1.26601i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 8.51417 | − | 11.8721i | 0.464486 | − | 0.647679i | ||||
\(337\) | −0.933557 | + | 0.783347i | −0.0508541 | + | 0.0426717i | −0.667860 | − | 0.744287i | \(-0.732790\pi\) |
0.617006 | + | 0.786958i | \(0.288345\pi\) | |||||||
\(338\) | 11.6474 | − | 9.77330i | 0.633533 | − | 0.531597i | ||||
\(339\) | −2.40408 | − | 5.31119i | −0.130572 | − | 0.288464i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.17705 | − | 10.6990i | −0.334506 | − | 0.579381i | ||||
\(342\) | −7.56551 | − | 22.3421i | −0.409096 | − | 1.20812i | ||||
\(343\) | 9.54808 | − | 16.5378i | 0.515548 | − | 0.892955i | ||||
\(344\) | −1.02995 | + | 5.84114i | −0.0555312 | + | 0.314933i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 29.6775 | + | 10.8017i | 1.59547 | + | 0.580703i | ||||
\(347\) | 0.177046 | + | 1.00408i | 0.00950431 | + | 0.0539016i | 0.989191 | − | 0.146632i | \(-0.0468434\pi\) |
−0.979687 | + | 0.200534i | \(0.935732\pi\) | |||||||
\(348\) | −7.89934 | + | 2.02139i | −0.423449 | + | 0.108358i | ||||
\(349\) | −19.3802 | − | 16.2620i | −1.03740 | − | 0.870483i | −0.0456879 | − | 0.998956i | \(-0.514548\pi\) |
−0.991713 | + | 0.128473i | \(0.958992\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.18821 | − | 9.76293i | 0.0634222 | − | 0.521107i | ||||
\(352\) | −10.3742 | −0.552947 | ||||||||
\(353\) | −11.2458 | − | 9.43633i | −0.598552 | − | 0.502245i | 0.292428 | − | 0.956288i | \(-0.405537\pi\) |
−0.890980 | + | 0.454043i | \(0.849981\pi\) | |||||||
\(354\) | 0.779373 | − | 2.78270i | 0.0414232 | − | 0.147899i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −7.16091 | − | 2.60636i | −0.379527 | − | 0.138137i | ||||
\(357\) | 17.4603 | + | 8.38295i | 0.924096 | + | 0.443673i | ||||
\(358\) | −0.338747 | + | 1.92113i | −0.0179033 | + | 0.101535i | ||||
\(359\) | −11.7675 | + | 20.3820i | −0.621067 | + | 1.07572i | 0.368221 | + | 0.929738i | \(0.379967\pi\) |
−0.989287 | + | 0.145981i | \(0.953366\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.35891 | − | 4.08575i | −0.124153 | − | 0.215039i | ||||
\(362\) | 31.0847 | − | 11.3139i | 1.63378 | − | 0.594646i | ||||
\(363\) | −2.16368 | − | 0.213919i | −0.113564 | − | 0.0112278i | ||||
\(364\) | −1.53111 | + | 1.28475i | −0.0802517 | + | 0.0673392i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 28.6019 | + | 2.82782i | 1.49504 | + | 0.147812i | ||||
\(367\) | −23.4316 | + | 8.52841i | −1.22312 | + | 0.445180i | −0.871236 | − | 0.490864i | \(-0.836681\pi\) |
−0.351884 | + | 0.936043i | \(0.614459\pi\) | |||||||
\(368\) | −6.72451 | − | 11.6472i | −0.350539 | − | 0.607152i | ||||
\(369\) | 14.2066 | + | 17.7281i | 0.739565 | + | 0.922890i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.564729 | − | 3.20274i | 0.0293193 | − | 0.166278i | ||||
\(372\) | 3.74837 | + | 1.79965i | 0.194344 | + | 0.0933076i | ||||
\(373\) | 12.0820 | + | 4.39750i | 0.625584 | + | 0.227694i | 0.635308 | − | 0.772259i | \(-0.280873\pi\) |
−0.00972404 | + | 0.999953i | \(0.503095\pi\) | |||||||
\(374\) | −5.62164 | − | 31.8819i | −0.290688 | − | 1.64857i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.3076 | − | 10.3273i | −0.634716 | − | 0.532590i | ||||
\(377\) | −14.6891 | −0.756529 | ||||||||
\(378\) | 1.76442 | − | 14.4973i | 0.0907520 | − | 0.745661i | ||||
\(379\) | 3.07162 | 0.157779 | 0.0788894 | − | 0.996883i | \(-0.474863\pi\) | ||||
0.0788894 | + | 0.996883i | \(0.474863\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −29.9580 | + | 7.66606i | −1.53480 | + | 0.392744i | ||||
\(382\) | 0.516201 | + | 2.92752i | 0.0264112 | + | 0.149785i | ||||
\(383\) | 6.80599 | + | 2.47718i | 0.347770 | + | 0.126578i | 0.509998 | − | 0.860175i | \(-0.329646\pi\) |
−0.162229 | + | 0.986753i | \(0.551868\pi\) | |||||||
\(384\) | −19.4890 | + | 13.3212i | −0.994542 | + | 0.679795i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −10.6889 | + | 18.5138i | −0.544053 | + | 0.942327i | ||||
\(387\) | 2.53686 | + | 7.49171i | 0.128956 | + | 0.380825i | ||||
\(388\) | 4.78195 | + | 8.28258i | 0.242767 | + | 0.420484i | ||||
\(389\) | −6.63847 | + | 2.41621i | −0.336584 | + | 0.122507i | −0.504782 | − | 0.863247i | \(-0.668427\pi\) |
0.168198 | + | 0.985753i | \(0.446205\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.6585 | − | 11.4608i | 0.690738 | − | 0.579598i | ||||
\(392\) | −6.84065 | + | 5.73999i | −0.345505 | + | 0.289913i | ||||
\(393\) | 13.7980 | − | 19.2399i | 0.696016 | − | 0.970524i | ||||
\(394\) | 28.4131 | − | 10.3415i | 1.43143 | − | 0.520998i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −4.98248 | + | 2.72865i | −0.250379 | + | 0.137120i | ||||
\(397\) | 12.9728 | − | 22.4696i | 0.651088 | − | 1.12772i | −0.331771 | − | 0.943360i | \(-0.607646\pi\) |
0.982859 | − | 0.184358i | \(-0.0590206\pi\) | |||||||
\(398\) | −1.79736 | + | 10.1933i | −0.0900936 | + | 0.510946i | ||||
\(399\) | −1.11473 | − | 14.6421i | −0.0558062 | − | 0.733024i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.29238 | + | 13.0007i | 0.114476 | + | 0.649226i | 0.987008 | + | 0.160670i | \(0.0513654\pi\) |
−0.872532 | + | 0.488557i | \(0.837524\pi\) | |||||||
\(402\) | −26.6543 | − | 27.2626i | −1.32940 | − | 1.35974i | ||||
\(403\) | 5.73815 | + | 4.81488i | 0.285838 | + | 0.239846i | ||||
\(404\) | 3.88903 | 0.193486 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.8124 | −1.08253 | ||||||||
\(407\) | 1.94426 | + | 1.63143i | 0.0963734 | + | 0.0808669i | ||||
\(408\) | −17.4975 | − | 17.8968i | −0.866256 | − | 0.886026i | ||||
\(409\) | −2.60351 | − | 14.7653i | −0.128735 | − | 0.730095i | −0.979019 | − | 0.203770i | \(-0.934681\pi\) |
0.850283 | − | 0.526325i | \(-0.176430\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.83174 | − | 24.0602i | −0.0903529 | − | 1.18680i | ||||
\(412\) | 0.762100 | − | 4.32208i | 0.0375460 | − | 0.212934i | ||||
\(413\) | 0.899496 | − | 1.55797i | 0.0442613 | − | 0.0766628i | ||||
\(414\) | −11.4884 | − | 6.98305i | −0.564623 | − | 0.343198i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 5.91082 | − | 2.15136i | 0.289802 | − | 0.105479i | ||||
\(417\) | −18.0228 | + | 25.1309i | −0.882579 | + | 1.23067i | ||||
\(418\) | −18.8024 | + | 15.7771i | −0.919654 | + | 0.771681i | ||||
\(419\) | 21.5326 | − | 18.0680i | 1.05194 | − | 0.882681i | 0.0586424 | − | 0.998279i | \(-0.481323\pi\) |
0.993296 | + | 0.115598i | \(0.0368784\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.6729 | − | 9.70814i | 1.29996 | − | 0.473146i | 0.402974 | − | 0.915211i | \(-0.367976\pi\) |
0.896983 | + | 0.442066i | \(0.145754\pi\) | |||||||
\(422\) | 13.1537 | + | 22.7829i | 0.640313 | + | 1.10906i | ||||
\(423\) | −21.0105 | − | 4.19555i | −1.02156 | − | 0.203995i | ||||
\(424\) | −2.10132 | + | 3.63959i | −0.102049 | + | 0.176754i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 18.7639 | − | 12.8256i | 0.909114 | − | 0.621403i | ||||
\(427\) | 16.8135 | + | 6.11960i | 0.813660 | + | 0.296148i | ||||
\(428\) | 0.477906 | + | 2.71034i | 0.0231004 | + | 0.131009i | ||||
\(429\) | −9.91433 | + | 2.53701i | −0.478668 | + | 0.122488i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.66843 | 0.417543 | 0.208772 | − | 0.977964i | \(-0.433053\pi\) | ||||
0.208772 | + | 0.977964i | \(0.433053\pi\) | |||||||
\(432\) | −11.4061 | + | 22.4446i | −0.548776 | + | 1.07987i | ||||
\(433\) | 8.61185 | 0.413859 | 0.206929 | − | 0.978356i | \(-0.433653\pi\) | ||||
0.206929 | + | 0.978356i | \(0.433653\pi\) | |||||||
\(434\) | 8.52077 | + | 7.14978i | 0.409010 | + | 0.343200i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.805725 | − | 4.56949i | −0.0385872 | − | 0.218839i | ||||
\(437\) | −12.7028 | − | 4.62344i | −0.607657 | − | 0.221169i | ||||
\(438\) | −24.8455 | − | 11.9287i | −1.18716 | − | 0.569975i | ||||
\(439\) | −2.79044 | + | 15.8254i | −0.133181 | + | 0.755305i | 0.842929 | + | 0.538025i | \(0.180829\pi\) |
−0.976109 | + | 0.217280i | \(0.930282\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.32431 | + | 11.0954i | −0.205919 | + | 0.528353i | ||||
\(442\) | 9.81454 | + | 16.9993i | 0.466830 | + | 0.808573i | ||||
\(443\) | 8.68429 | − | 3.16082i | 0.412603 | − | 0.150175i | −0.127374 | − | 0.991855i | \(-0.540655\pi\) |
0.539977 | + | 0.841679i | \(0.318433\pi\) | |||||||
\(444\) | −0.850086 | − | 0.0840465i | −0.0403433 | − | 0.00398867i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 23.1494 | − | 19.4246i | 1.09615 | − | 0.919782i | ||||
\(447\) | −30.9604 | − | 3.06100i | −1.46438 | − | 0.144780i | ||||
\(448\) | −7.07511 | + | 2.57513i | −0.334268 | + | 0.121663i | ||||
\(449\) | 18.5220 | + | 32.0810i | 0.874106 | + | 1.51400i | 0.857713 | + | 0.514130i | \(0.171885\pi\) |
0.0163930 | + | 0.999866i | \(0.494782\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.8197 | − | 20.4723i | 0.556567 | − | 0.964002i | ||||
\(452\) | 0.354546 | − | 2.01073i | 0.0166764 | − | 0.0945768i | ||||
\(453\) | 30.5204 | + | 14.6533i | 1.43397 | + | 0.688472i | ||||
\(454\) | 26.6456 | + | 9.69821i | 1.25054 | + | 0.455160i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −5.11791 | + | 18.2732i | −0.239668 | + | 0.855719i | ||||
\(457\) | −1.04395 | − | 0.875976i | −0.0488338 | − | 0.0409764i | 0.618044 | − | 0.786143i | \(-0.287925\pi\) |
−0.666878 | + | 0.745167i | \(0.732370\pi\) | |||||||
\(458\) | 12.2133 | 0.570688 | ||||||||
\(459\) | −31.9294 | − | 9.72473i | −1.49034 | − | 0.453912i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.41944 | − | 5.38655i | −0.298983 | − | 0.250876i | 0.480938 | − | 0.876755i | \(-0.340296\pi\) |
−0.779921 | + | 0.625878i | \(0.784741\pi\) | |||||||
\(462\) | −14.7221 | + | 3.76730i | −0.684935 | + | 0.175271i | ||||
\(463\) | 4.96946 | + | 28.1832i | 0.230950 | + | 1.30978i | 0.850977 | + | 0.525203i | \(0.176011\pi\) |
−0.620027 | + | 0.784581i | \(0.712878\pi\) | |||||||
\(464\) | 35.3350 | + | 12.8609i | 1.64039 | + | 0.597052i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.94751 | − | 11.0449i | 0.0902168 | − | 0.511645i | ||||
\(467\) | −1.15409 | + | 1.99894i | −0.0534049 | + | 0.0925000i | −0.891492 | − | 0.453036i | \(-0.850341\pi\) |
0.838087 | + | 0.545536i | \(0.183674\pi\) | |||||||
\(468\) | 2.27297 | − | 2.58792i | 0.105068 | − | 0.119627i | ||||
\(469\) | −11.8679 | − | 20.5557i | −0.548006 | − | 0.949175i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.74606 | + | 12.6944i | 0.264765 | + | 0.584928i | ||||
\(472\) | −1.78089 | + | 1.49434i | −0.0819719 | + | 0.0687826i | ||||
\(473\) | 6.30479 | − | 5.29034i | 0.289894 | − | 0.243250i | ||||
\(474\) | −24.2457 | + | 33.8081i | −1.11364 | + | 1.55286i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.39158 | + | 5.87438i | 0.155453 | + | 0.269252i | ||||
\(477\) | −0.126442 | + | 5.60298i | −0.00578938 | + | 0.256543i | ||||
\(478\) | −16.5498 | + | 28.6652i | −0.756972 | + | 1.31111i | ||||
\(479\) | −0.150408 | + | 0.853009i | −0.00687234 | + | 0.0389750i | −0.988051 | − | 0.154127i | \(-0.950744\pi\) |
0.981179 | + | 0.193102i | \(0.0618547\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.44608 | − | 0.526331i | −0.0659357 | − | 0.0239986i | ||||
\(482\) | 6.54999 | + | 37.1468i | 0.298344 | + | 1.69199i | ||||
\(483\) | −5.85097 | − | 5.98450i | −0.266228 | − | 0.272304i | ||||
\(484\) | −0.583306 | − | 0.489452i | −0.0265139 | − | 0.0222478i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.776512 | + | 25.1555i | 0.0352233 | + | 1.14108i | ||||
\(487\) | 20.4700 | 0.927584 | 0.463792 | − | 0.885944i | \(-0.346488\pi\) | ||||
0.463792 | + | 0.885944i | \(0.346488\pi\) | |||||||
\(488\) | −17.7124 | − | 14.8625i | −0.801803 | − | 0.672793i | ||||
\(489\) | −6.38730 | − | 6.53307i | −0.288844 | − | 0.295435i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −40.3022 | − | 14.6688i | −1.81881 | − | 0.661993i | −0.995539 | − | 0.0943459i | \(-0.969924\pi\) |
−0.823272 | − | 0.567647i | \(-0.807854\pi\) | |||||||
\(492\) | 0.603976 | + | 7.93333i | 0.0272293 | + | 0.357662i | ||||
\(493\) | −8.65659 | + | 49.0940i | −0.389873 | + | 2.21108i | ||||
\(494\) | 7.44107 | − | 12.8883i | 0.334790 | − | 0.579872i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.58763 | − | 16.6063i | −0.430497 | − | 0.745643i | ||||
\(497\) | 13.2959 | − | 4.83932i | 0.596404 | − | 0.217073i | ||||
\(498\) | −15.0329 | + | 20.9618i | −0.673639 | + | 0.939322i | ||||
\(499\) | 4.70186 | − | 3.94533i | 0.210484 | − | 0.176617i | −0.531451 | − | 0.847089i | \(-0.678353\pi\) |
0.741935 | + | 0.670472i | \(0.233908\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −11.8192 | − | 26.1114i | −0.528042 | − | 1.16657i | ||||
\(502\) | −13.9779 | + | 5.08754i | −0.623864 | + | 0.227068i | ||||
\(503\) | −3.43713 | − | 5.95329i | −0.153254 | − | 0.265444i | 0.779168 | − | 0.626815i | \(-0.215642\pi\) |
−0.932422 | + | 0.361371i | \(0.882309\pi\) | |||||||
\(504\) | −7.75318 | + | 8.82751i | −0.345354 | + | 0.393208i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.42922 | + | 13.7768i | −0.107992 | + | 0.612454i | ||||
\(507\) | −13.4664 | + | 9.20464i | −0.598064 | + | 0.408792i | ||||
\(508\) | −10.1768 | − | 3.70404i | −0.451521 | − | 0.164340i | ||||
\(509\) | −2.31722 | − | 13.1416i | −0.102709 | − | 0.582493i | −0.992111 | − | 0.125366i | \(-0.959990\pi\) |
0.889401 | − | 0.457127i | \(-0.151122\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.1434 | − | 11.0286i | −0.581430 | − | 0.487878i | ||||
\(512\) | 5.69791 | 0.251815 | ||||||||
\(513\) | 5.71874 | + | 24.6511i | 0.252488 | + | 1.08837i | ||||
\(514\) | −41.6373 | −1.83654 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.747087 | + | 2.66743i | −0.0328887 | + | 0.117427i | ||||
\(517\) | 3.87133 | + | 21.9554i | 0.170261 | + | 0.965596i | ||||
\(518\) | −2.14734 | − | 0.781567i | −0.0943486 | − | 0.0343401i | ||||
\(519\) | −30.5437 | − | 14.6645i | −1.34072 | − | 0.643701i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.2664 | + | 21.2461i | −0.537401 | + | 0.930807i | 0.461642 | + | 0.887067i | \(0.347261\pi\) |
−0.999043 | + | 0.0437400i | \(0.986073\pi\) | |||||||
\(522\) | 37.1560 | − | 5.69046i | 1.62627 | − | 0.249065i | ||||
\(523\) | 19.7850 | + | 34.2687i | 0.865140 | + | 1.49847i | 0.866908 | + | 0.498468i | \(0.166104\pi\) |
−0.00176851 | + | 0.999998i | \(0.500563\pi\) | |||||||
\(524\) | 7.79172 | − | 2.83595i | 0.340383 | − | 0.123889i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.3038 | + | 23.7497i | −1.23410 | + | 1.03554i | ||||
\(527\) | 19.4739 | − | 16.3405i | 0.848295 | − | 0.711804i | ||||
\(528\) | 26.0704 | + | 2.57753i | 1.13457 | + | 0.112173i | ||||
\(529\) | 14.3729 | − | 5.23132i | 0.624911 | − | 0.227449i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.12578 | + | 2.88857i | −0.0488549 | + | 0.125353i | ||||
\(532\) | 2.57139 | − | 4.45377i | 0.111484 | − | 0.193095i | ||||
\(533\) | −2.48893 | + | 14.1154i | −0.107808 | + | 0.611407i | ||||
\(534\) | 31.6693 | + | 15.2049i | 1.37047 | + | 0.657982i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.32629 | + | 30.2069i | 0.230061 | + | 1.30474i | ||||
\(537\) | 0.564429 | − | 2.01526i | 0.0243569 | − | 0.0869648i | ||||
\(538\) | −22.8531 | − | 19.1760i | −0.985267 | − | 0.826737i | ||||
\(539\) | 12.3912 | 0.533727 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 32.1065 | 1.38036 | 0.690182 | − | 0.723635i | \(-0.257530\pi\) | ||||
0.690182 | + | 0.723635i | \(0.257530\pi\) | |||||||
\(542\) | −5.74576 | − | 4.82126i | −0.246801 | − | 0.207091i | ||||
\(543\) | −34.3805 | + | 8.79775i | −1.47541 | + | 0.377548i | ||||
\(544\) | −3.70692 | − | 21.0230i | −0.158933 | − | 0.901352i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 7.60684 | − | 5.19947i | 0.325543 | − | 0.222517i | ||||
\(547\) | 3.82427 | − | 21.6885i | 0.163514 | − | 0.927333i | −0.787070 | − | 0.616864i | \(-0.788403\pi\) |
0.950583 | − | 0.310469i | \(-0.100486\pi\) | |||||||
\(548\) | 4.22534 | − | 7.31850i | 0.180497 | − | 0.312631i | ||||
\(549\) | −30.2371 | − | 6.03800i | −1.29049 | − | 0.257696i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 35.5163 | − | 12.9269i | 1.51305 | − | 0.550704i | ||||
\(552\) | 4.46000 | + | 9.85321i | 0.189830 | + | 0.419380i | ||||
\(553\) | −19.8402 | + | 16.6479i | −0.843693 | + | 0.707942i | ||||
\(554\) | −32.0023 | + | 26.8531i | −1.35965 | + | 1.14088i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.1775 | + | 3.70429i | −0.431621 | + | 0.157097i | ||||
\(557\) | −11.1210 | − | 19.2621i | −0.471212 | − | 0.816163i | 0.528246 | − | 0.849092i | \(-0.322850\pi\) |
−0.999458 | + | 0.0329284i | \(0.989517\pi\) | |||||||
\(558\) | −16.3798 | − | 9.95625i | −0.693413 | − | 0.421482i | ||||
\(559\) | −2.49513 | + | 4.32169i | −0.105533 | + | 0.182788i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.63649 | + | 34.6307i | 0.111313 | + | 1.46211i | ||||
\(562\) | −16.3350 | − | 5.94545i | −0.689050 | − | 0.250794i | ||||
\(563\) | −2.45892 | − | 13.9452i | −0.103631 | − | 0.587721i | −0.991758 | − | 0.128123i | \(-0.959105\pi\) |
0.888127 | − | 0.459598i | \(-0.152006\pi\) | |||||||
\(564\) | −5.24558 | − | 5.36529i | −0.220879 | − | 0.225920i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −25.6004 | −1.07607 | ||||||||
\(567\) | −3.41394 | + | 15.2912i | −0.143372 | + | 0.642170i | ||||
\(568\) | −18.2846 | −0.767205 | ||||||||
\(569\) | −4.81198 | − | 4.03773i | −0.201729 | − | 0.169270i | 0.536327 | − | 0.844010i | \(-0.319811\pi\) |
−0.738056 | + | 0.674740i | \(0.764256\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.42129 | − | 30.7457i | −0.226874 | − | 1.28667i | −0.859070 | − | 0.511858i | \(-0.828957\pi\) |
0.632196 | − | 0.774809i | \(-0.282154\pi\) | |||||||
\(572\) | −3.36790 | − | 1.22582i | −0.140819 | − | 0.0512540i | ||||
\(573\) | −0.242093 | − | 3.17993i | −0.0101136 | − | 0.132844i | ||||
\(574\) | −3.69590 | + | 20.9605i | −0.154264 | + | 0.874873i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 11.3802 | − | 6.23233i | 0.474174 | − | 0.259680i | ||||
\(577\) | −9.13906 | − | 15.8293i | −0.380464 | − | 0.658983i | 0.610664 | − | 0.791889i | \(-0.290902\pi\) |
−0.991129 | + | 0.132906i | \(0.957569\pi\) | |||||||
\(578\) | 36.8076 | − | 13.3969i | 1.53100 | − | 0.557237i | ||||
\(579\) | 13.3658 | − | 18.6372i | 0.555462 | − | 0.774536i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.3014 | + | 10.3221i | −0.510349 | + | 0.428233i | ||||
\(582\) | −18.1810 | − | 40.1662i | −0.753627 | − | 1.66494i | ||||
\(583\) | 5.47997 | − | 1.99455i | 0.226957 | − | 0.0826057i | ||||
\(584\) | 11.0860 | + | 19.2016i | 0.458744 | + | 0.794568i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.68551 | − | 4.65143i | 0.110937 | − | 0.192149i | ||||
\(587\) | 1.42984 | − | 8.10900i | 0.0590156 | − | 0.334694i | −0.940977 | − | 0.338470i | \(-0.890091\pi\) |
0.999993 | + | 0.00377558i | \(0.00120181\pi\) | |||||||
\(588\) | −3.44304 | + | 2.35341i | −0.141989 | + | 0.0970529i | ||||
\(589\) | −18.1113 | − | 6.59198i | −0.746263 | − | 0.271618i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −31.4256 | + | 8.04160i | −1.29268 | + | 0.330787i | ||||
\(592\) | 3.01776 | + | 2.53220i | 0.124029 | + | 0.104073i | ||||
\(593\) | −38.8812 | −1.59666 | −0.798329 | − | 0.602222i | \(-0.794282\pi\) | ||||
−0.798329 | + | 0.602222i | \(0.794282\pi\) | |||||||
\(594\) | 24.0953 | − | 10.2581i | 0.988644 | − | 0.420894i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −8.34661 | − | 7.00364i | −0.341890 | − | 0.286880i | ||||
\(597\) | 2.99481 | − | 10.6928i | 0.122569 | − | 0.437626i | ||||
\(598\) | −1.47290 | − | 8.35325i | −0.0602315 | − | 0.341590i | ||||
\(599\) | 0.729650 | + | 0.265571i | 0.0298127 | + | 0.0108509i | 0.356883 | − | 0.934149i | \(-0.383839\pi\) |
−0.327071 | + | 0.945000i | \(0.606062\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.46708 | + | 25.3341i | −0.182216 | + | 1.03340i | 0.747265 | + | 0.664527i | \(0.231367\pi\) |
−0.929481 | + | 0.368871i | \(0.879744\pi\) | |||||||
\(602\) | −3.70510 | + | 6.41743i | −0.151009 | + | 0.261555i | ||||
\(603\) | 25.5787 | + | 31.9192i | 1.04165 | + | 1.29985i | ||||
\(604\) | 5.92844 | + | 10.2684i | 0.241225 | + | 0.417813i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −17.8413 | − | 1.76394i | −0.724755 | − | 0.0716553i | ||||
\(607\) | 5.10054 | − | 4.27987i | 0.207025 | − | 0.173714i | −0.533380 | − | 0.845876i | \(-0.679078\pi\) |
0.740405 | + | 0.672161i | \(0.234634\pi\) | |||||||
\(608\) | −12.3983 | + | 10.4034i | −0.502817 | + | 0.421914i | ||||
\(609\) | 23.2871 | + | 2.30235i | 0.943640 | + | 0.0932961i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.75875 | − | 11.7065i | −0.273430 | − | 0.473594i | ||||
\(612\) | −7.30985 | − | 9.12182i | −0.295483 | − | 0.368728i | ||||
\(613\) | 16.4901 | − | 28.5617i | 0.666030 | − | 1.15360i | −0.312975 | − | 0.949761i | \(-0.601326\pi\) |
0.979005 | − | 0.203837i | \(-0.0653412\pi\) | |||||||
\(614\) | −1.23316 | + | 6.99359i | −0.0497662 | + | 0.282238i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.4880 | + | 4.18131i | 0.462867 | + | 0.168470i | ||||
\(617\) | 6.36077 | + | 36.0737i | 0.256075 | + | 1.45227i | 0.793298 | + | 0.608834i | \(0.208362\pi\) |
−0.537223 | + | 0.843440i | \(0.680527\pi\) | |||||||
\(618\) | −5.45658 | + | 19.4824i | −0.219496 | + | 0.783696i | ||||
\(619\) | 10.7534 | + | 9.02320i | 0.432217 | + | 0.362673i | 0.832787 | − | 0.553593i | \(-0.186744\pi\) |
−0.400571 | + | 0.916266i | \(0.631188\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 11.5280 | + | 8.66779i | 0.462602 | + | 0.347826i | ||||
\(622\) | 24.9958 | 1.00224 | ||||||||
\(623\) | 16.7533 | + | 14.0577i | 0.671206 | + | 0.563208i | ||||
\(624\) | −15.3884 | + | 3.93779i | −0.616029 | + | 0.157638i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 16.4373 | + | 5.98270i | 0.656967 | + | 0.239117i | ||||
\(627\) | 21.7389 | − | 14.8591i | 0.868166 | − | 0.593414i | ||||
\(628\) | −0.847411 | + | 4.80591i | −0.0338154 | + | 0.191777i | ||||
\(629\) | −2.61131 | + | 4.52292i | −0.104120 | + | 0.180340i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.61405 | + | 2.79562i | 0.0642543 | + | 0.111292i | 0.896363 | − | 0.443321i | \(-0.146200\pi\) |
−0.832109 | + | 0.554613i | \(0.812866\pi\) | |||||||
\(632\) | 31.4508 | − | 11.4471i | 1.25104 | − | 0.455343i | ||||
\(633\) | −11.6382 | − | 25.7116i | −0.462578 | − | 1.02195i | ||||
\(634\) | −13.0758 | + | 10.9719i | −0.519305 | + | 0.435748i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.14386 | + | 1.59500i | −0.0453569 | + | 0.0632457i | ||||
\(637\) | −7.06002 | + | 2.56964i | −0.279728 | + | 0.101813i | ||||
\(638\) | −19.5567 | − | 33.8732i | −0.774258 | − | 1.34105i | ||||
\(639\) | −21.3863 | + | 11.7121i | −0.846027 | + | 0.463325i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.01704 | + | 5.76795i | −0.0401709 | + | 0.227820i | −0.998283 | − | 0.0585725i | \(-0.981345\pi\) |
0.958112 | + | 0.286393i | \(0.0924562\pi\) | |||||||
\(642\) | −0.963120 | − | 12.6507i | −0.0380113 | − | 0.499285i | ||||
\(643\) | 15.6152 | + | 5.68345i | 0.615802 | + | 0.224134i | 0.631040 | − | 0.775750i | \(-0.282628\pi\) |
−0.0152381 | + | 0.999884i | \(0.504851\pi\) | |||||||
\(644\) | −0.508986 | − | 2.88660i | −0.0200569 | − | 0.113748i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −38.6901 | − | 32.4648i | −1.52224 | − | 1.27731i | ||||
\(647\) | 5.31018 | 0.208765 | 0.104382 | − | 0.994537i | \(-0.466713\pi\) | ||||
0.104382 | + | 0.994537i | \(0.466713\pi\) | |||||||
\(648\) | 10.9041 | − | 17.0597i | 0.428353 | − | 0.670170i | ||||
\(649\) | 3.22591 | 0.126628 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.34216 | − | 8.53254i | −0.326955 | − | 0.334417i | ||||
\(652\) | −0.555642 | − | 3.15120i | −0.0217606 | − | 0.123411i | ||||
\(653\) | −23.6382 | − | 8.60359i | −0.925034 | − | 0.336685i | −0.164794 | − | 0.986328i | \(-0.552696\pi\) |
−0.760239 | + | 0.649643i | \(0.774918\pi\) | |||||||
\(654\) | 1.62377 | + | 21.3285i | 0.0634945 | + | 0.834011i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 18.3458 | − | 31.7758i | 0.716282 | − | 1.24064i | ||||
\(657\) | 25.2661 | + | 15.3577i | 0.985724 | + | 0.599159i | ||||
\(658\) | −10.0363 | − | 17.3834i | −0.391255 | − | 0.677674i | ||||
\(659\) | 0.253053 | − | 0.0921038i | 0.00985755 | − | 0.00358786i | −0.337087 | − | 0.941474i | \(-0.609442\pi\) |
0.346944 | + | 0.937886i | \(0.387219\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.1827 | + | 14.4180i | −0.668329 | + | 0.560795i | −0.912570 | − | 0.408920i | \(-0.865906\pi\) |
0.244241 | + | 0.969714i | \(0.421461\pi\) | |||||||
\(662\) | 13.0409 | − | 10.9426i | 0.506850 | − | 0.425298i | ||||
\(663\) | −8.68376 | − | 19.1845i | −0.337249 | − | 0.745064i | ||||
\(664\) | 19.5002 | − | 7.09750i | 0.756755 | − | 0.275436i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.86174 | + | 0.771146i | 0.149640 | + | 0.0298813i | ||||
\(667\) | 10.7709 | − | 18.6557i | 0.417050 | − | 0.722352i | ||||
\(668\) | 1.74306 | − | 9.88537i | 0.0674409 | − | 0.382476i | ||||
\(669\) | −26.7647 | + | 18.2944i | −1.03478 | + | 0.707302i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.57140 | + | 31.5970i | 0.215081 | + | 1.21979i | ||||
\(672\) | −9.70778 | + | 2.48416i | −0.374486 | + | 0.0958285i | ||||
\(673\) | −12.7839 | − | 10.7270i | −0.492784 | − | 0.413494i | 0.362239 | − | 0.932085i | \(-0.382012\pi\) |
−0.855023 | + | 0.518591i | \(0.826457\pi\) | |||||||
\(674\) | 1.96754 | 0.0757868 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.71262 | −0.219716 | ||||||||
\(677\) | 22.7606 | + | 19.0984i | 0.874762 | + | 0.734012i | 0.965095 | − | 0.261899i | \(-0.0843489\pi\) |
−0.0903336 | + | 0.995912i | \(0.528793\pi\) | |||||||
\(678\) | −2.53853 | + | 9.06364i | −0.0974915 | + | 0.348087i | ||||
\(679\) | −4.76616 | − | 27.0302i | −0.182908 | − | 1.03733i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −27.4234 | − | 13.1664i | −1.05087 | − | 0.504537i | ||||
\(682\) | −3.46352 | + | 19.6426i | −0.132625 | + | 0.752154i | ||||
\(683\) | 6.26849 | − | 10.8573i | 0.239857 | − | 0.415445i | −0.720816 | − | 0.693126i | \(-0.756233\pi\) |
0.960673 | + | 0.277682i | \(0.0895661\pi\) | |||||||
\(684\) | −3.21828 | + | 8.25753i | −0.123054 | + | 0.315735i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −28.9713 | + | 10.5447i | −1.10613 | + | 0.402599i | ||||
\(687\) | −13.0390 | − | 1.28914i | −0.497467 | − | 0.0491838i | ||||
\(688\) | 9.78590 | − | 8.21134i | 0.373084 | − | 0.313054i | ||||
\(689\) | −2.70865 | + | 2.27283i | −0.103191 | + | 0.0865879i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.85438 | + | 2.49479i | −0.260753 | + | 0.0949064i | −0.469089 | − | 0.883151i | \(-0.655418\pi\) |
0.208336 | + | 0.978057i | \(0.433195\pi\) | |||||||
\(692\) | −5.93297 | − | 10.2762i | −0.225538 | − | 0.390643i | ||||
\(693\) | 16.1151 | − | 2.46804i | 0.612162 | − | 0.0937530i | ||||
\(694\) | 0.823042 | − | 1.42555i | 0.0312422 | − | 0.0541131i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −27.2607 | − | 13.0883i | −1.03331 | − | 0.496110i | ||||
\(697\) | 45.7098 | + | 16.6370i | 1.73138 | + | 0.630171i | ||||
\(698\) | 7.09271 | + | 40.2248i | 0.268463 | + | 1.52253i | ||||
\(699\) | −3.24500 | + | 11.5860i | −0.122737 | + | 0.438225i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.1934 | −0.384998 | −0.192499 | − | 0.981297i | \(-0.561659\pi\) | ||||
−0.192499 | + | 0.981297i | \(0.561659\pi\) | |||||||
\(702\) | −11.6013 | + | 10.8414i | −0.437863 | + | 0.409184i | ||||
\(703\) | 3.95962 | 0.149340 | ||||||||
\(704\) | −10.3425 | − | 8.67836i | −0.389796 | − | 0.327078i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.11569 | + | 23.3412i | 0.154896 | + | 0.878459i | ||||
\(707\) | −10.4879 | − | 3.81730i | −0.394439 | − | 0.143564i | ||||
\(708\) | −0.896357 | + | 0.612683i | −0.0336871 | + | 0.0230260i | ||||
\(709\) | 3.06522 | − | 17.3837i | 0.115117 | − | 0.652860i | −0.871575 | − | 0.490261i | \(-0.836901\pi\) |
0.986692 | − | 0.162599i | \(-0.0519876\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.4534 | − | 33.5346i | 1.10459 | − | 1.25765i | ||||
\(712\) | −14.1309 | − | 24.4754i | −0.529576 | − | 0.917253i | ||||
\(713\) | −10.3226 | + | 3.75711i | −0.386584 | + | 0.140705i | ||||
\(714\) | −12.8948 | − | 28.4877i | −0.482576 | − | 1.06613i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.561463 | − | 0.471123i | 0.0209828 | − | 0.0176067i | ||||
\(717\) | 20.6944 | − | 28.8563i | 0.772847 | − | 1.07766i | ||||
\(718\) | 35.7057 | − | 12.9958i | 1.33253 | − | 0.485000i | ||||
\(719\) | 1.57416 | + | 2.72652i | 0.0587062 | + | 0.101682i | 0.893885 | − | 0.448297i | \(-0.147969\pi\) |
−0.835179 | + | 0.549979i | \(0.814636\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.29760 | + | 10.9078i | −0.234535 | + | 0.406226i | ||||
\(722\) | −1.32266 | + | 7.50117i | −0.0492242 | + | 0.279165i | ||||
\(723\) | −3.07187 | − | 40.3496i | −0.114244 | − | 1.50062i | ||||
\(724\) | −11.6791 | − | 4.25084i | −0.434050 | − | 0.157981i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.45398 | + | 2.50999i | 0.0910759 | + | 0.0931544i | ||||
\(727\) | −25.1799 | − | 21.1284i | −0.933869 | − | 0.783609i | 0.0426388 | − | 0.999091i | \(-0.486424\pi\) |
−0.976508 | + | 0.215481i | \(0.930868\pi\) | |||||||
\(728\) | −7.41254 | −0.274727 | ||||||||
\(729\) | 1.82622 | − | 26.9382i | 0.0676377 | − | 0.997710i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.9735 | + | 10.8861i | 0.479843 | + | 0.402636i | ||||
\(732\) | −7.54915 | − | 7.72143i | −0.279025 | − | 0.285392i | ||||
\(733\) | −1.20830 | − | 6.85262i | −0.0446297 | − | 0.253107i | 0.954328 | − | 0.298762i | \(-0.0965737\pi\) |
−0.998957 | + | 0.0456547i | \(0.985463\pi\) | |||||||
\(734\) | 37.8302 | + | 13.7691i | 1.39634 | + | 0.508226i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.60183 | + | 9.08444i | −0.0590443 | + | 0.334857i | ||||
\(737\) | 21.2811 | − | 36.8600i | 0.783901 | − | 1.35776i | ||||
\(738\) | 0.827507 | − | 36.6690i | 0.0304609 | − | 1.34980i | ||||
\(739\) | 3.80631 | + | 6.59273i | 0.140017 | + | 0.242517i | 0.927503 | − | 0.373816i | \(-0.121951\pi\) |
−0.787485 | + | 0.616333i | \(0.788617\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.30453 | + | 12.9742i | −0.341811 | + | 0.476620i | ||||
\(742\) | −4.02217 | + | 3.37500i | −0.147658 | + | 0.123900i | ||||
\(743\) | 2.40844 | − | 2.02092i | 0.0883571 | − | 0.0741404i | −0.597539 | − | 0.801840i | \(-0.703855\pi\) |
0.685896 | + | 0.727699i | \(0.259410\pi\) | |||||||
\(744\) | 6.35895 | + | 14.0485i | 0.233130 | + | 0.515041i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −10.3791 | − | 17.9772i | −0.380007 | − | 0.658191i | ||||
\(747\) | 18.2618 | − | 20.7922i | 0.668164 | − | 0.760749i | ||||
\(748\) | −6.08169 | + | 10.5338i | −0.222369 | + | 0.385154i | ||||
\(749\) | 1.37153 | − | 7.77834i | 0.0501146 | − | 0.284214i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.55689 | + | 1.65857i | 0.166283 | + | 0.0605222i | 0.423821 | − | 0.905746i | \(-0.360689\pi\) |
−0.257537 | + | 0.966268i | \(0.582911\pi\) | |||||||
\(752\) | 6.00883 | + | 34.0778i | 0.219119 | + | 1.24269i | ||||
\(753\) | 15.4599 | − | 3.95609i | 0.563390 | − | 0.144168i | ||||
\(754\) | 18.1672 | + | 15.2441i | 0.661609 | + | 0.555156i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.00902 | + | 3.74644i | −0.145807 | + | 0.136257i | ||||
\(757\) | −16.2063 | −0.589028 | −0.294514 | − | 0.955647i | \(-0.595158\pi\) | ||||
−0.294514 | + | 0.955647i | \(0.595158\pi\) | |||||||
\(758\) | −3.79891 | − | 3.18766i | −0.137983 | − | 0.115781i | ||||
\(759\) | 4.04763 | − | 14.4518i | 0.146920 | − | 0.524567i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −37.9046 | − | 13.7961i | −1.37404 | − | 0.500110i | −0.453674 | − | 0.891168i | \(-0.649887\pi\) |
−0.920366 | + | 0.391058i | \(0.872109\pi\) | |||||||
\(762\) | 45.0070 | + | 21.6086i | 1.63043 | + | 0.782795i | ||||
\(763\) | −2.31233 | + | 13.1139i | −0.0837121 | + | 0.474755i | ||||
\(764\) | 0.558445 | − | 0.967255i | 0.0202038 | − | 0.0349941i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.84672 | − | 10.1268i | −0.211250 | − | 0.365896i | ||||
\(767\) | −1.83800 | + | 0.668976i | −0.0663662 | + | 0.0241553i | ||||
\(768\) | 23.0184 | + | 2.27579i | 0.830604 | + | 0.0821204i | ||||
\(769\) | 8.23144 | − | 6.90700i | 0.296833 | − | 0.249073i | −0.482191 | − | 0.876066i | \(-0.660159\pi\) |
0.779025 | + | 0.626993i | \(0.215715\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 44.4523 | + | 4.39493i | 1.60091 | + | 0.158279i | ||||
\(772\) | 7.54765 | − | 2.74712i | 0.271646 | − | 0.0988711i | ||||
\(773\) | 27.2618 | + | 47.2189i | 0.980540 | + | 1.69835i | 0.660286 | + | 0.751014i | \(0.270435\pi\) |
0.320254 | + | 0.947332i | \(0.396232\pi\) | |||||||
\(774\) | 4.63721 | − | 11.8983i | 0.166681 | − | 0.427674i | ||||
\(775\) | 0 | 0 |