Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [676,2,Mod(99,676)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(676, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("676.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 676 = 2^{2} \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 676.f (of order \(4\), degree \(2\), 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: | \(5.39788717664\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | 16.0.102930383934669717504.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 5 x^{14} - 2 x^{13} + 5 x^{12} - 8 x^{11} - 12 x^{10} + 32 x^{9} - 36 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 52) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 99.3 | ||
Root | \(1.08916 + 0.902074i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 676.99 |
Dual form | 676.2.f.i.239.3 |
$q$-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 \(\left(\mathbb{Z}/676\mathbb{Z}\right)^\times\).
\(n\) | \(339\) | \(509\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.492201 | + | 1.32580i | −0.348039 | + | 0.937480i | ||||
\(3\) | 0.850043i | 0.490772i | 0.969425 | + | 0.245386i | \(0.0789148\pi\) | ||||
−0.969425 | + | 0.245386i | \(0.921085\pi\) | |||||||
\(4\) | −1.51548 | − | 1.30512i | −0.757738 | − | 0.652559i | ||||
\(5\) | 0.166404 | + | 0.166404i | 0.0744180 | + | 0.0744180i | 0.743336 | − | 0.668918i | \(-0.233242\pi\) |
−0.668918 | + | 0.743336i | \(0.733242\pi\) | |||||||
\(6\) | −1.12698 | − | 0.418392i | −0.460089 | − | 0.170808i | ||||
\(7\) | −1.86977 | − | 1.86977i | −0.706708 | − | 0.706708i | 0.259134 | − | 0.965841i | \(-0.416563\pi\) |
−0.965841 | + | 0.259134i | \(0.916563\pi\) | |||||||
\(8\) | 2.47624 | − | 1.36683i | 0.875483 | − | 0.483249i | ||||
\(9\) | 2.27743 | 0.759142 | ||||||||
\(10\) | −0.302522 | + | 0.138714i | −0.0956658 | + | 0.0438651i | ||||
\(11\) | −1.01973 | − | 1.01973i | −0.307460 | − | 0.307460i | 0.536463 | − | 0.843924i | \(-0.319760\pi\) |
−0.843924 | + | 0.536463i | \(0.819760\pi\) | |||||||
\(12\) | 1.10941 | − | 1.28822i | 0.320258 | − | 0.371877i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 3.39924 | − | 1.55864i | 0.908486 | − | 0.416563i | ||||
\(15\) | −0.141450 | + | 0.141450i | −0.0365223 | + | 0.0365223i | ||||
\(16\) | 0.593337 | + | 3.95575i | 0.148334 | + | 0.988937i | ||||
\(17\) | 1.39924i | 0.339366i | 0.985499 | + | 0.169683i | \(0.0542744\pi\) | ||||
−0.985499 | + | 0.169683i | \(0.945726\pi\) | |||||||
\(18\) | −1.12095 | + | 3.01941i | −0.264211 | + | 0.711681i | ||||
\(19\) | 3.94713 | − | 3.94713i | 0.905535 | − | 0.905535i | −0.0903734 | − | 0.995908i | \(-0.528806\pi\) |
0.995908 | + | 0.0903734i | \(0.0288060\pi\) | |||||||
\(20\) | −0.0350045 | − | 0.469358i | −0.00782725 | − | 0.104952i | ||||
\(21\) | 1.58939 | − | 1.58939i | 0.346833 | − | 0.346833i | ||||
\(22\) | 1.85387 | − | 0.850043i | 0.395246 | − | 0.181230i | ||||
\(23\) | 8.74431 | 1.82331 | 0.911657 | − | 0.410951i | \(-0.134803\pi\) | ||||
0.911657 | + | 0.410951i | \(0.134803\pi\) | |||||||
\(24\) | 1.16187 | + | 2.10491i | 0.237165 | + | 0.429663i | ||||
\(25\) | − | 4.94462i | − | 0.988924i | ||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.48604i | 0.863339i | ||||||||
\(28\) | 0.393323 | + | 5.27387i | 0.0743311 | + | 0.996668i | ||||
\(29\) | 4.22047 | 0.783722 | 0.391861 | − | 0.920025i | \(-0.371831\pi\) | ||||
0.391861 | + | 0.920025i | \(0.371831\pi\) | |||||||
\(30\) | −0.117912 | − | 0.257157i | −0.0215278 | − | 0.0469501i | ||||
\(31\) | −3.88100 | + | 3.88100i | −0.697047 | + | 0.697047i | −0.963773 | − | 0.266725i | \(-0.914058\pi\) |
0.266725 | + | 0.963773i | \(0.414058\pi\) | |||||||
\(32\) | −5.53656 | − | 1.16038i | −0.978735 | − | 0.205128i | ||||
\(33\) | 0.866814 | − | 0.866814i | 0.150893 | − | 0.150893i | ||||
\(34\) | −1.85511 | − | 0.688709i | −0.318149 | − | 0.118113i | ||||
\(35\) | − | 0.622275i | − | 0.105184i | ||||||
\(36\) | −3.45139 | − | 2.97231i | −0.575231 | − | 0.495385i | ||||
\(37\) | 0.366025 | − | 0.366025i | 0.0601742 | − | 0.0601742i | −0.676379 | − | 0.736553i | \(-0.736452\pi\) |
0.736553 | + | 0.676379i | \(0.236452\pi\) | |||||||
\(38\) | 3.29032 | + | 7.17588i | 0.533760 | + | 1.16408i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.639502 | + | 0.184609i | 0.101114 | + | 0.0291893i | ||||
\(41\) | 4.09808 | + | 4.09808i | 0.640012 | + | 0.640012i | 0.950558 | − | 0.310546i | \(-0.100512\pi\) |
−0.310546 | + | 0.950558i | \(0.600512\pi\) | |||||||
\(42\) | 1.32491 | + | 2.88950i | 0.204438 | + | 0.445860i | ||||
\(43\) | 9.18723 | 1.40104 | 0.700520 | − | 0.713633i | \(-0.252951\pi\) | ||||
0.700520 | + | 0.713633i | \(0.252951\pi\) | |||||||
\(44\) | 0.214509 | + | 2.87624i | 0.0323385 | + | 0.433610i | ||||
\(45\) | 0.378973 | + | 0.378973i | 0.0564939 | + | 0.0564939i | ||||
\(46\) | −4.30396 | + | 11.5932i | −0.634584 | + | 1.70932i | ||||
\(47\) | 2.80318 | + | 2.80318i | 0.408886 | + | 0.408886i | 0.881350 | − | 0.472464i | \(-0.156635\pi\) |
−0.472464 | + | 0.881350i | \(0.656635\pi\) | |||||||
\(48\) | −3.36256 | + | 0.504362i | −0.485343 | + | 0.0727984i | ||||
\(49\) | − | 0.00790080i | − | 0.00112869i | ||||||
\(50\) | 6.55556 | + | 2.43375i | 0.927097 | + | 0.344184i | ||||
\(51\) | −1.18942 | −0.166552 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.94462 | −0.816556 | −0.408278 | − | 0.912858i | \(-0.633871\pi\) | ||||
−0.408278 | + | 0.912858i | \(0.633871\pi\) | |||||||
\(54\) | −5.94758 | − | 2.20803i | −0.809363 | − | 0.300475i | ||||
\(55\) | − | 0.339374i | − | 0.0457612i | ||||||
\(56\) | −7.18567 | − | 2.07434i | −0.960226 | − | 0.277195i | ||||
\(57\) | 3.35523 | + | 3.35523i | 0.444411 | + | 0.444411i | ||||
\(58\) | −2.07732 | + | 5.59549i | −0.272765 | + | 0.734723i | ||||
\(59\) | −6.02449 | − | 6.02449i | −0.784322 | − | 0.784322i | 0.196235 | − | 0.980557i | \(-0.437129\pi\) |
−0.980557 | + | 0.196235i | \(0.937129\pi\) | |||||||
\(60\) | 0.398974 | − | 0.0297554i | 0.0515073 | − | 0.00384140i | ||||
\(61\) | −7.22205 | −0.924688 | −0.462344 | − | 0.886701i | \(-0.652992\pi\) | ||||
−0.462344 | + | 0.886701i | \(0.652992\pi\) | |||||||
\(62\) | −3.23518 | − | 7.05564i | −0.410869 | − | 0.896068i | ||||
\(63\) | −4.25827 | − | 4.25827i | −0.536492 | − | 0.536492i | ||||
\(64\) | 4.26353 | − | 6.76922i | 0.532941 | − | 0.846152i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.722573 | + | 1.57587i | 0.0889426 | + | 0.193976i | ||||
\(67\) | 1.78345 | − | 1.78345i | 0.217884 | − | 0.217884i | −0.589722 | − | 0.807606i | \(-0.700763\pi\) |
0.807606 | + | 0.589722i | \(0.200763\pi\) | |||||||
\(68\) | 1.82618 | − | 2.12052i | 0.221456 | − | 0.257151i | ||||
\(69\) | 7.43304i | 0.894833i | ||||||||
\(70\) | 0.825010 | + | 0.306284i | 0.0986075 | + | 0.0366080i | ||||
\(71\) | 7.68668 | − | 7.68668i | 0.912241 | − | 0.912241i | −0.0842073 | − | 0.996448i | \(-0.526836\pi\) |
0.996448 | + | 0.0842073i | \(0.0268358\pi\) | |||||||
\(72\) | 5.63946 | − | 3.11287i | 0.664616 | − | 0.366855i | ||||
\(73\) | −5.05407 | + | 5.05407i | −0.591534 | + | 0.591534i | −0.938046 | − | 0.346512i | \(-0.887366\pi\) |
0.346512 | + | 0.938046i | \(0.387366\pi\) | |||||||
\(74\) | 0.305117 | + | 0.665434i | 0.0354692 | + | 0.0773551i | ||||
\(75\) | 4.20314 | 0.485337 | ||||||||
\(76\) | −11.1333 | + | 0.830315i | −1.27707 | + | 0.0952437i | ||||
\(77\) | 3.81333i | 0.434569i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.51654i | 0.958186i | 0.877764 | + | 0.479093i | \(0.159034\pi\) | ||||
−0.877764 | + | 0.479093i | \(0.840966\pi\) | |||||||
\(80\) | −0.559518 | + | 0.756985i | −0.0625560 | + | 0.0846335i | ||||
\(81\) | 3.01896 | 0.335440 | ||||||||
\(82\) | −7.45030 | + | 3.41614i | −0.822747 | + | 0.377250i | ||||
\(83\) | 6.91195 | − | 6.91195i | 0.758685 | − | 0.758685i | −0.217398 | − | 0.976083i | \(-0.569757\pi\) |
0.976083 | + | 0.217398i | \(0.0697570\pi\) | |||||||
\(84\) | −4.48301 | + | 0.334342i | −0.489137 | + | 0.0364797i | ||||
\(85\) | −0.232839 | + | 0.232839i | −0.0252550 | + | 0.0252550i | ||||
\(86\) | −4.52197 | + | 12.1804i | −0.487616 | + | 1.31345i | ||||
\(87\) | 3.58758i | 0.384629i | ||||||||
\(88\) | −3.91890 | − | 1.13129i | −0.417756 | − | 0.120596i | ||||
\(89\) | 4.69752 | − | 4.69752i | 0.497936 | − | 0.497936i | −0.412859 | − | 0.910795i | \(-0.635470\pi\) |
0.910795 | + | 0.412859i | \(0.135470\pi\) | |||||||
\(90\) | −0.688971 | + | 0.315910i | −0.0726240 | + | 0.0332998i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −13.2518 | − | 11.4124i | −1.38160 | − | 1.18982i | ||||
\(93\) | −3.29901 | − | 3.29901i | −0.342092 | − | 0.342092i | ||||
\(94\) | −5.09618 | + | 2.33672i | −0.525631 | + | 0.241015i | ||||
\(95\) | 1.31364 | 0.134776 | ||||||||
\(96\) | 0.986372 | − | 4.70632i | 0.100671 | − | 0.480336i | ||||
\(97\) | 10.9412 | + | 10.9412i | 1.11091 | + | 1.11091i | 0.993028 | + | 0.117877i | \(0.0376090\pi\) |
0.117877 | + | 0.993028i | \(0.462391\pi\) | |||||||
\(98\) | 0.0104749 | + | 0.00388878i | 0.00105812 | + | 0.000392826i | ||||
\(99\) | −2.32236 | − | 2.32236i | −0.233406 | − | 0.233406i | ||||
\(100\) | −6.45331 | + | 7.49345i | −0.645331 | + | 0.749345i | ||||
\(101\) | 9.17457i | 0.912904i | 0.889748 | + | 0.456452i | \(0.150880\pi\) | ||||
−0.889748 | + | 0.456452i | \(0.849120\pi\) | |||||||
\(102\) | 0.585432 | − | 1.57693i | 0.0579664 | − | 0.156139i | ||||
\(103\) | −10.9080 | −1.07480 | −0.537398 | − | 0.843329i | \(-0.680593\pi\) | ||||
−0.537398 | + | 0.843329i | \(0.680593\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.528960 | 0.0516212 | ||||||||
\(106\) | 2.92595 | − | 7.88136i | 0.284193 | − | 0.765505i | ||||
\(107\) | − | 9.85658i | − | 0.952872i | −0.879209 | − | 0.476436i | \(-0.841928\pi\) | ||
0.879209 | − | 0.476436i | \(-0.158072\pi\) | |||||||
\(108\) | 5.85481 | − | 6.79849i | 0.563379 | − | 0.654185i | ||||
\(109\) | −0.0243171 | − | 0.0243171i | −0.00232916 | − | 0.00232916i | 0.705941 | − | 0.708270i | \(-0.250524\pi\) |
−0.708270 | + | 0.705941i | \(0.750524\pi\) | |||||||
\(110\) | 0.449941 | + | 0.167040i | 0.0429002 | + | 0.0159267i | ||||
\(111\) | 0.311137 | + | 0.311137i | 0.0295318 | + | 0.0295318i | ||||
\(112\) | 6.28695 | − | 8.50576i | 0.594061 | − | 0.803718i | ||||
\(113\) | 4.55328 | 0.428336 | 0.214168 | − | 0.976797i | \(-0.431296\pi\) | ||||
0.214168 | + | 0.976797i | \(0.431296\pi\) | |||||||
\(114\) | −6.09981 | + | 2.79691i | −0.571299 | + | 0.261955i | ||||
\(115\) | 1.45509 | + | 1.45509i | 0.135688 | + | 0.135688i | ||||
\(116\) | −6.39602 | − | 5.50821i | −0.593856 | − | 0.511424i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 10.9525 | − | 5.02200i | 1.00826 | − | 0.462312i | ||||
\(119\) | 2.61627 | − | 2.61627i | 0.239833 | − | 0.239833i | ||||
\(120\) | −0.156926 | + | 0.543604i | −0.0143253 | + | 0.0496241i | ||||
\(121\) | − | 8.92030i | − | 0.810937i | ||||||
\(122\) | 3.55470 | − | 9.57497i | 0.321827 | − | 0.866877i | ||||
\(123\) | −3.48354 | + | 3.48354i | −0.314100 | + | 0.314100i | ||||
\(124\) | 10.9467 | − | 0.816402i | 0.983044 | − | 0.0733151i | ||||
\(125\) | 1.65482 | − | 1.65482i | 0.148012 | − | 0.148012i | ||||
\(126\) | 7.74153 | − | 3.54968i | 0.689670 | − | 0.316230i | ||||
\(127\) | −5.34414 | −0.474216 | −0.237108 | − | 0.971483i | \(-0.576199\pi\) | ||||
−0.237108 | + | 0.971483i | \(0.576199\pi\) | |||||||
\(128\) | 6.87610 | + | 8.98439i | 0.607767 | + | 0.794115i | ||||
\(129\) | 7.80954i | 0.687592i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 11.2254i | − | 0.980764i | −0.871508 | − | 0.490382i | \(-0.836857\pi\) | ||
0.871508 | − | 0.490382i | \(-0.163143\pi\) | |||||||
\(132\) | −2.44493 | + | 0.182342i | −0.212804 | + | 0.0158708i | ||||
\(133\) | −14.7605 | −1.27990 | ||||||||
\(134\) | 1.48668 | + | 3.24232i | 0.128430 | + | 0.280094i | ||||
\(135\) | −0.746494 | + | 0.746494i | −0.0642480 | + | 0.0642480i | ||||
\(136\) | 1.91253 | + | 3.46486i | 0.163998 | + | 0.297109i | ||||
\(137\) | 3.39982 | − | 3.39982i | 0.290466 | − | 0.290466i | −0.546798 | − | 0.837264i | \(-0.684154\pi\) |
0.837264 | + | 0.546798i | \(0.184154\pi\) | |||||||
\(138\) | −9.85470 | − | 3.65855i | −0.838888 | − | 0.311436i | ||||
\(139\) | − | 6.94068i | − | 0.588700i | −0.955698 | − | 0.294350i | \(-0.904897\pi\) | ||
0.955698 | − | 0.294350i | \(-0.0951032\pi\) | |||||||
\(140\) | −0.812141 | + | 0.943042i | −0.0686385 | + | 0.0797016i | ||||
\(141\) | −2.38283 | + | 2.38283i | −0.200670 | + | 0.200670i | ||||
\(142\) | 6.40759 | + | 13.9744i | 0.537713 | + | 1.17270i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.35128 | + | 9.00893i | 0.112607 | + | 0.750744i | ||||
\(145\) | 0.702302 | + | 0.702302i | 0.0583230 | + | 0.0583230i | ||||
\(146\) | −4.21305 | − | 9.18828i | −0.348674 | − | 0.760428i | ||||
\(147\) | 0.00671601 | 0.000553928 | ||||||||
\(148\) | −1.03241 | + | 0.0769967i | −0.0848635 | + | 0.00632909i | ||||
\(149\) | −10.7178 | − | 10.7178i | −0.878035 | − | 0.878035i | 0.115296 | − | 0.993331i | \(-0.463218\pi\) |
−0.993331 | + | 0.115296i | \(0.963218\pi\) | |||||||
\(150\) | −2.06879 | + | 5.57251i | −0.168916 | + | 0.454993i | ||||
\(151\) | 0.480824 | + | 0.480824i | 0.0391289 | + | 0.0391289i | 0.726401 | − | 0.687272i | \(-0.241192\pi\) |
−0.687272 | + | 0.726401i | \(0.741192\pi\) | |||||||
\(152\) | 4.37897 | − | 15.1691i | 0.355182 | − | 1.23038i | ||||
\(153\) | 3.18667i | 0.257627i | ||||||||
\(154\) | −5.05570 | − | 1.87692i | −0.407400 | − | 0.151247i | ||||
\(155\) | −1.29162 | −0.103746 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.90408 | 0.471197 | 0.235598 | − | 0.971851i | \(-0.424295\pi\) | ||||
0.235598 | + | 0.971851i | \(0.424295\pi\) | |||||||
\(158\) | −11.2912 | − | 4.19185i | −0.898280 | − | 0.333486i | ||||
\(159\) | − | 5.05318i | − | 0.400743i | ||||||
\(160\) | −0.728214 | − | 1.11440i | −0.0575703 | − | 0.0881008i | ||||
\(161\) | −16.3499 | − | 16.3499i | −1.28855 | − | 1.28855i | ||||
\(162\) | −1.48593 | + | 4.00252i | −0.116746 | + | 0.314468i | ||||
\(163\) | 11.1248 | + | 11.1248i | 0.871358 | + | 0.871358i | 0.992620 | − | 0.121263i | \(-0.0386943\pi\) |
−0.121263 | + | 0.992620i | \(0.538694\pi\) | |||||||
\(164\) | −0.862067 | − | 11.5590i | −0.0673161 | − | 0.902607i | ||||
\(165\) | 0.288482 | 0.0224583 | ||||||||
\(166\) | 5.76177 | + | 12.5659i | 0.447200 | + | 0.975304i | ||||
\(167\) | 3.96436 | + | 3.96436i | 0.306772 | + | 0.306772i | 0.843656 | − | 0.536884i | \(-0.180399\pi\) |
−0.536884 | + | 0.843656i | \(0.680399\pi\) | |||||||
\(168\) | 1.76327 | − | 6.10813i | 0.136040 | − | 0.471253i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −0.194094 | − | 0.423302i | −0.0148863 | − | 0.0324658i | ||||
\(171\) | 8.98931 | − | 8.98931i | 0.687430 | − | 0.687430i | ||||
\(172\) | −13.9230 | − | 11.9904i | −1.06162 | − | 0.914261i | ||||
\(173\) | 2.16078i | 0.164281i | 0.996621 | + | 0.0821405i | \(0.0261756\pi\) | ||||
−0.996621 | + | 0.0821405i | \(0.973824\pi\) | |||||||
\(174\) | −4.75640 | − | 1.76581i | −0.360582 | − | 0.133866i | ||||
\(175\) | −9.24531 | + | 9.24531i | −0.698880 | + | 0.698880i | ||||
\(176\) | 3.42875 | − | 4.63884i | 0.258452 | − | 0.349666i | ||||
\(177\) | 5.12108 | − | 5.12108i | 0.384924 | − | 0.384924i | ||||
\(178\) | 3.91583 | + | 8.54008i | 0.293504 | + | 0.640106i | ||||
\(179\) | −10.1328 | −0.757359 | −0.378679 | − | 0.925528i | \(-0.623622\pi\) | ||||
−0.378679 | + | 0.925528i | \(0.623622\pi\) | |||||||
\(180\) | −0.0797203 | − | 1.06893i | −0.00594200 | − | 0.0796732i | ||||
\(181\) | − | 13.8528i | − | 1.02967i | −0.857289 | − | 0.514836i | \(-0.827853\pi\) | ||
0.857289 | − | 0.514836i | \(-0.172147\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 6.13905i | − | 0.453812i | ||||||
\(184\) | 21.6530 | − | 11.9520i | 1.59628 | − | 0.881115i | ||||
\(185\) | 0.121816 | 0.00895609 | ||||||||
\(186\) | 5.99760 | − | 2.75004i | 0.439765 | − | 0.201643i | ||||
\(187\) | 1.42685 | − | 1.42685i | 0.104342 | − | 0.104342i | ||||
\(188\) | −0.589675 | − | 7.90664i | −0.0430065 | − | 0.576651i | ||||
\(189\) | 8.38787 | − | 8.38787i | 0.610128 | − | 0.610128i | ||||
\(190\) | −0.646573 | + | 1.74162i | −0.0469073 | + | 0.126350i | ||||
\(191\) | − | 3.87048i | − | 0.280058i | −0.990147 | − | 0.140029i | \(-0.955280\pi\) | ||
0.990147 | − | 0.140029i | \(-0.0447196\pi\) | |||||||
\(192\) | 5.75413 | + | 3.62418i | 0.415268 | + | 0.261553i | ||||
\(193\) | −5.81548 | + | 5.81548i | −0.418607 | + | 0.418607i | −0.884724 | − | 0.466116i | \(-0.845653\pi\) |
0.466116 | + | 0.884724i | \(0.345653\pi\) | |||||||
\(194\) | −19.8910 | + | 9.12050i | −1.42809 | + | 0.654814i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.0103115 | + | 0.0119735i | −0.000736533 | + | 0.000855248i | ||||
\(197\) | −8.75448 | − | 8.75448i | −0.623731 | − | 0.623731i | 0.322753 | − | 0.946483i | \(-0.395392\pi\) |
−0.946483 | + | 0.322753i | \(0.895392\pi\) | |||||||
\(198\) | 4.22205 | − | 1.93591i | 0.300048 | − | 0.137579i | ||||
\(199\) | −2.43397 | −0.172539 | −0.0862696 | − | 0.996272i | \(-0.527495\pi\) | ||||
−0.0862696 | + | 0.996272i | \(0.527495\pi\) | |||||||
\(200\) | −6.75848 | − | 12.2441i | −0.477896 | − | 0.865786i | ||||
\(201\) | 1.51601 | + | 1.51601i | 0.106931 | + | 0.106931i | ||||
\(202\) | −12.1636 | − | 4.51573i | −0.855829 | − | 0.317726i | ||||
\(203\) | −7.89132 | − | 7.89132i | −0.553862 | − | 0.553862i | ||||
\(204\) | 1.80253 | + | 1.55233i | 0.126203 | + | 0.108685i | ||||
\(205\) | 1.36387i | 0.0952569i | ||||||||
\(206\) | 5.36892 | − | 14.4618i | 0.374071 | − | 1.00760i | ||||
\(207\) | 19.9145 | 1.38416 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.05002 | −0.556831 | ||||||||
\(210\) | −0.260355 | + | 0.701294i | −0.0179662 | + | 0.0483939i | ||||
\(211\) | 4.19052i | 0.288488i | 0.989542 | + | 0.144244i | \(0.0460750\pi\) | ||||
−0.989542 | + | 0.144244i | \(0.953925\pi\) | |||||||
\(212\) | 9.00893 | + | 7.75843i | 0.618736 | + | 0.532851i | ||||
\(213\) | 6.53401 | + | 6.53401i | 0.447703 | + | 0.447703i | ||||
\(214\) | 13.0678 | + | 4.85142i | 0.893298 | + | 0.331636i | ||||
\(215\) | 1.52879 | + | 1.52879i | 0.104263 | + | 0.104263i | ||||
\(216\) | 6.13167 | + | 11.1085i | 0.417207 | + | 0.755838i | ||||
\(217\) | 14.5132 | 0.985217 | ||||||||
\(218\) | 0.0442085 | − | 0.0202707i | 0.00299418 | − | 0.00137290i | ||||
\(219\) | −4.29617 | − | 4.29617i | −0.290308 | − | 0.290308i | ||||
\(220\) | −0.442923 | + | 0.514313i | −0.0298618 | + | 0.0346750i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −0.565647 | + | 0.259363i | −0.0379637 | + | 0.0174073i | ||||
\(223\) | −13.3137 | + | 13.3137i | −0.891553 | + | 0.891553i | −0.994669 | − | 0.103117i | \(-0.967118\pi\) |
0.103117 | + | 0.994669i | \(0.467118\pi\) | |||||||
\(224\) | 8.18247 | + | 12.5218i | 0.546714 | + | 0.836645i | ||||
\(225\) | − | 11.2610i | − | 0.750734i | ||||||
\(226\) | −2.24113 | + | 6.03672i | −0.149078 | + | 0.401557i | ||||
\(227\) | −5.26077 | + | 5.26077i | −0.349170 | + | 0.349170i | −0.859800 | − | 0.510631i | \(-0.829412\pi\) |
0.510631 | + | 0.859800i | \(0.329412\pi\) | |||||||
\(228\) | −0.705803 | − | 9.46375i | −0.0467430 | − | 0.626752i | ||||
\(229\) | 3.17720 | − | 3.17720i | 0.209955 | − | 0.209955i | −0.594293 | − | 0.804248i | \(-0.702568\pi\) |
0.804248 | + | 0.594293i | \(0.202568\pi\) | |||||||
\(230\) | −2.64534 | + | 1.21295i | −0.174429 | + | 0.0799799i | ||||
\(231\) | −3.24149 | −0.213274 | ||||||||
\(232\) | 10.4509 | − | 5.76868i | 0.686135 | − | 0.378733i | ||||
\(233\) | 13.3205i | 0.872655i | 0.899788 | + | 0.436328i | \(0.143721\pi\) | ||||
−0.899788 | + | 0.436328i | \(0.856279\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.932921i | 0.0608571i | ||||||||
\(236\) | 1.26731 | + | 16.9927i | 0.0824946 | + | 1.10613i | ||||
\(237\) | −7.23943 | −0.470251 | ||||||||
\(238\) | 2.18091 | + | 4.75637i | 0.141367 | + | 0.308310i | ||||
\(239\) | 5.96641 | − | 5.96641i | 0.385935 | − | 0.385935i | −0.487300 | − | 0.873235i | \(-0.662018\pi\) |
0.873235 | + | 0.487300i | \(0.162018\pi\) | |||||||
\(240\) | −0.643470 | − | 0.475614i | −0.0415358 | − | 0.0307008i | ||||
\(241\) | −10.9373 | + | 10.9373i | −0.704533 | + | 0.704533i | −0.965380 | − | 0.260847i | \(-0.915998\pi\) |
0.260847 | + | 0.965380i | \(0.415998\pi\) | |||||||
\(242\) | 11.8265 | + | 4.39058i | 0.760237 | + | 0.282237i | ||||
\(243\) | 16.0244i | 1.02796i | ||||||||
\(244\) | 10.9448 | + | 9.42562i | 0.700672 | + | 0.603413i | ||||
\(245\) | 0.00131472 | − | 0.00131472i | 8.39945e−5 | − | 8.39945e-5i | ||||
\(246\) | −2.90387 | − | 6.33307i | −0.185144 | − | 0.403782i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.30560 | + | 14.9150i | −0.273406 | + | 0.947101i | ||||
\(249\) | 5.87545 | + | 5.87545i | 0.372342 | + | 0.372342i | ||||
\(250\) | 1.37945 | + | 3.00846i | 0.0872443 | + | 0.190272i | ||||
\(251\) | −27.4775 | −1.73436 | −0.867182 | − | 0.497992i | \(-0.834071\pi\) | ||||
−0.867182 | + | 0.497992i | \(0.834071\pi\) | |||||||
\(252\) | 0.895766 | + | 12.0109i | 0.0564279 | + | 0.756613i | ||||
\(253\) | −8.91683 | − | 8.91683i | −0.560597 | − | 0.560597i | ||||
\(254\) | 2.63039 | − | 7.08524i | 0.165045 | − | 0.444568i | ||||
\(255\) | −0.197923 | − | 0.197923i | −0.0123944 | − | 0.0123944i | ||||
\(256\) | −15.2959 | + | 4.69419i | −0.955994 | + | 0.293387i | ||||
\(257\) | − | 27.8352i | − | 1.73631i | −0.496289 | − | 0.868157i | \(-0.665304\pi\) | ||
0.496289 | − | 0.868157i | \(-0.334696\pi\) | |||||||
\(258\) | −10.3539 | − | 3.84386i | −0.644604 | − | 0.239309i | ||||
\(259\) | −1.36877 | −0.0850511 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.61181 | 0.594956 | ||||||||
\(262\) | 14.8825 | + | 5.52513i | 0.919446 | + | 0.341344i | ||||
\(263\) | 23.8060i | 1.46794i | 0.679180 | + | 0.733972i | \(0.262336\pi\) | ||||
−0.679180 | + | 0.733972i | \(0.737664\pi\) | |||||||
\(264\) | 0.961648 | − | 3.33123i | 0.0591854 | − | 0.205023i | ||||
\(265\) | −0.989207 | − | 0.989207i | −0.0607665 | − | 0.0607665i | ||||
\(266\) | 7.26513 | − | 19.5694i | 0.445453 | − | 1.19988i | ||||
\(267\) | 3.99309 | + | 3.99309i | 0.244373 | + | 0.244373i | ||||
\(268\) | −5.03040 | + | 0.375166i | −0.307281 | + | 0.0229169i | ||||
\(269\) | −20.7119 | −1.26282 | −0.631412 | − | 0.775448i | \(-0.717524\pi\) | ||||
−0.631412 | + | 0.775448i | \(0.717524\pi\) | |||||||
\(270\) | −0.622275 | − | 1.35712i | −0.0378704 | − | 0.0825920i | ||||
\(271\) | 9.77210 | + | 9.77210i | 0.593613 | + | 0.593613i | 0.938605 | − | 0.344993i | \(-0.112119\pi\) |
−0.344993 | + | 0.938605i | \(0.612119\pi\) | |||||||
\(272\) | −5.53506 | + | 0.830223i | −0.335612 | + | 0.0503397i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.83408 | + | 6.18087i | 0.171213 | + | 0.373400i | ||||
\(275\) | −5.04218 | + | 5.04218i | −0.304055 | + | 0.304055i | ||||
\(276\) | 9.70099 | − | 11.2646i | 0.583931 | − | 0.678049i | ||||
\(277\) | 12.7336i | 0.765090i | 0.923937 | + | 0.382545i | \(0.124952\pi\) | ||||
−0.923937 | + | 0.382545i | \(0.875048\pi\) | |||||||
\(278\) | 9.20193 | + | 3.41621i | 0.551895 | + | 0.204891i | ||||
\(279\) | −8.83868 | + | 8.83868i | −0.529158 | + | 0.529158i | ||||
\(280\) | −0.850546 | − | 1.54090i | −0.0508299 | − | 0.0920865i | ||||
\(281\) | −15.4454 | + | 15.4454i | −0.921396 | + | 0.921396i | −0.997128 | − | 0.0757324i | \(-0.975871\pi\) |
0.0757324 | + | 0.997128i | \(0.475871\pi\) | |||||||
\(282\) | −1.98632 | − | 4.33197i | −0.118283 | − | 0.257965i | ||||
\(283\) | −20.6898 | −1.22988 | −0.614939 | − | 0.788575i | \(-0.710819\pi\) | ||||
−0.614939 | + | 0.788575i | \(0.710819\pi\) | |||||||
\(284\) | −21.6810 | + | 1.61696i | −1.28653 | + | 0.0959490i | ||||
\(285\) | 1.11665i | 0.0661445i | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 15.3249i | − | 0.904603i | ||||||
\(288\) | −12.6091 | − | 2.64268i | −0.742999 | − | 0.155721i | ||||
\(289\) | 15.0421 | 0.884830 | ||||||||
\(290\) | −1.27678 | + | 0.585436i | −0.0749753 | + | 0.0343780i | ||||
\(291\) | −9.30045 | + | 9.30045i | −0.545202 | + | 0.545202i | ||||
\(292\) | 14.2555 | − | 1.06317i | 0.834238 | − | 0.0622172i | ||||
\(293\) | −16.3053 | + | 16.3053i | −0.952565 | + | 0.952565i | −0.998925 | − | 0.0463600i | \(-0.985238\pi\) |
0.0463600 | + | 0.998925i | \(0.485238\pi\) | |||||||
\(294\) | −0.00330563 | + | 0.00890407i | −0.000192788 | + | 0.000519296i | ||||
\(295\) | − | 2.00500i | − | 0.116735i | ||||||
\(296\) | 0.406071 | − | 1.40666i | 0.0236024 | − | 0.0817606i | ||||
\(297\) | 4.57455 | − | 4.57455i | 0.265442 | − | 0.265442i | ||||
\(298\) | 19.4849 | − | 8.93431i | 1.12873 | − | 0.517551i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −6.36976 | − | 5.48559i | −0.367758 | − | 0.316711i | ||||
\(301\) | −17.1780 | − | 17.1780i | −0.990126 | − | 0.990126i | ||||
\(302\) | −0.874138 | + | 0.400813i | −0.0503010 | + | 0.0230642i | ||||
\(303\) | −7.79878 | −0.448028 | ||||||||
\(304\) | 17.9559 | + | 13.2719i | 1.02984 | + | 0.761195i | ||||
\(305\) | −1.20178 | − | 1.20178i | −0.0688135 | − | 0.0688135i | ||||
\(306\) | −4.22488 | − | 1.56848i | −0.241521 | − | 0.0896643i | ||||
\(307\) | 16.3164 | + | 16.3164i | 0.931228 | + | 0.931228i | 0.997783 | − | 0.0665547i | \(-0.0212007\pi\) |
−0.0665547 | + | 0.997783i | \(0.521201\pi\) | |||||||
\(308\) | 4.97684 | − | 5.77900i | 0.283582 | − | 0.329289i | ||||
\(309\) | − | 9.27226i | − | 0.527480i | ||||||
\(310\) | 0.635739 | − | 1.71243i | 0.0361076 | − | 0.0972596i | ||||
\(311\) | 8.54527 | 0.484558 | 0.242279 | − | 0.970207i | \(-0.422105\pi\) | ||||
0.242279 | + | 0.970207i | \(0.422105\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.88378 | 0.332571 | 0.166285 | − | 0.986078i | \(-0.446823\pi\) | ||||
0.166285 | + | 0.986078i | \(0.446823\pi\) | |||||||
\(314\) | −2.90599 | + | 7.82761i | −0.163995 | + | 0.441738i | ||||
\(315\) | − | 1.41718i | − | 0.0798493i | ||||||
\(316\) | 11.1151 | − | 12.9066i | 0.625272 | − | 0.726054i | ||||
\(317\) | 16.5045 | + | 16.5045i | 0.926984 | + | 0.926984i | 0.997510 | − | 0.0705258i | \(-0.0224677\pi\) |
−0.0705258 | + | 0.997510i | \(0.522468\pi\) | |||||||
\(318\) | 6.69949 | + | 2.48718i | 0.375689 | + | 0.139474i | ||||
\(319\) | −4.30374 | − | 4.30374i | −0.240963 | − | 0.240963i | ||||
\(320\) | 1.83589 | − | 0.416956i | 0.102629 | − | 0.0233086i | ||||
\(321\) | 8.37852 | 0.467643 | ||||||||
\(322\) | 29.7240 | − | 13.6292i | 1.65646 | − | 0.759525i | ||||
\(323\) | 5.52300 | + | 5.52300i | 0.307308 | + | 0.307308i | ||||
\(324\) | −4.57516 | − | 3.94009i | −0.254175 | − | 0.218894i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −20.2248 | + | 9.27355i | −1.12015 | + | 0.513614i | ||||
\(327\) | 0.0206706 | − | 0.0206706i | 0.00114309 | − | 0.00114309i | ||||
\(328\) | 15.7492 | + | 4.54643i | 0.869605 | + | 0.251035i | ||||
\(329\) | − | 10.4826i | − | 0.577926i | ||||||
\(330\) | −0.141991 | + | 0.382469i | −0.00781636 | + | 0.0210542i | ||||
\(331\) | −10.1585 | + | 10.1585i | −0.558364 | + | 0.558364i | −0.928842 | − | 0.370477i | \(-0.879194\pi\) |
0.370477 | + | 0.928842i | \(0.379194\pi\) | |||||||
\(332\) | −19.4958 | + | 1.45399i | −1.06997 | + | 0.0797981i | ||||
\(333\) | 0.833596 | − | 0.833596i | 0.0456808 | − | 0.0456808i | ||||
\(334\) | −7.20721 | + | 3.30468i | −0.394361 | + | 0.180824i | ||||
\(335\) | 0.593547 | 0.0324290 | ||||||||
\(336\) | 7.23026 | + | 5.34417i | 0.394443 | + | 0.291549i | ||||
\(337\) | − | 14.3427i | − | 0.781297i | −0.920540 | − | 0.390649i | \(-0.872251\pi\) | ||
0.920540 | − | 0.390649i | \(-0.127749\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.87048i | 0.210216i | ||||||||
\(340\) | 0.656745 | − | 0.0489799i | 0.0356170 | − | 0.00265631i | ||||
\(341\) | 7.91513 | 0.428629 | ||||||||
\(342\) | 7.49345 | + | 16.3425i | 0.405200 | + | 0.883704i | ||||
\(343\) | −13.1032 | + | 13.1032i | −0.707505 | + | 0.707505i | ||||
\(344\) | 22.7498 | − | 12.5574i | 1.22659 | − | 0.677051i | ||||
\(345\) | −1.23689 | + | 1.23689i | −0.0665917 | + | 0.0665917i | ||||
\(346\) | −2.86476 | − | 1.06354i | −0.154010 | − | 0.0571762i | ||||
\(347\) | 0.470309i | 0.0252475i | 0.999920 | + | 0.0126238i | \(0.00401838\pi\) | ||||
−0.999920 | + | 0.0126238i | \(0.995982\pi\) | |||||||
\(348\) | 4.68221 | − | 5.43689i | 0.250993 | − | 0.291448i | ||||
\(349\) | −19.9991 | + | 19.9991i | −1.07053 | + | 1.07053i | −0.0732091 | + | 0.997317i | \(0.523324\pi\) |
−0.997317 | + | 0.0732091i | \(0.976676\pi\) | |||||||
\(350\) | −7.70686 | − | 16.8080i | −0.411949 | − | 0.898423i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.46252 | + | 6.82907i | 0.237853 | + | 0.363991i | ||||
\(353\) | 25.4219 | + | 25.4219i | 1.35307 | + | 1.35307i | 0.882202 | + | 0.470871i | \(0.156060\pi\) |
0.470871 | + | 0.882202i | \(0.343940\pi\) | |||||||
\(354\) | 4.26891 | + | 9.31011i | 0.226890 | + | 0.494827i | ||||
\(355\) | 2.55819 | 0.135774 | ||||||||
\(356\) | −13.2498 | + | 0.988165i | −0.702238 | + | 0.0523726i | ||||
\(357\) | 2.22394 | + | 2.22394i | 0.117703 | + | 0.117703i | ||||
\(358\) | 4.98736 | − | 13.4340i | 0.263590 | − | 0.710009i | ||||
\(359\) | −11.7167 | − | 11.7167i | −0.618383 | − | 0.618383i | 0.326733 | − | 0.945117i | \(-0.394052\pi\) |
−0.945117 | + | 0.326733i | \(0.894052\pi\) | |||||||
\(360\) | 1.45642 | + | 0.420434i | 0.0767601 | + | 0.0221588i | ||||
\(361\) | − | 12.1597i | − | 0.639986i | ||||||
\(362\) | 18.3660 | + | 6.81837i | 0.965297 | + | 0.358366i | ||||
\(363\) | 7.58264 | 0.397985 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.68203 | −0.0880416 | ||||||||
\(366\) | 8.13913 | + | 3.02165i | 0.425439 | + | 0.157944i | ||||
\(367\) | 10.1556i | 0.530118i | 0.964232 | + | 0.265059i | \(0.0853914\pi\) | ||||
−0.964232 | + | 0.265059i | \(0.914609\pi\) | |||||||
\(368\) | 5.18832 | + | 34.5903i | 0.270460 | + | 1.80314i | ||||
\(369\) | 9.33307 | + | 9.33307i | 0.485860 | + | 0.485860i | ||||
\(370\) | −0.0599580 | + | 0.161503i | −0.00311707 | + | 0.00839616i | ||||
\(371\) | 11.1151 | + | 11.1151i | 0.577067 | + | 0.577067i | ||||
\(372\) | 0.693977 | + | 9.30517i | 0.0359810 | + | 0.482451i | ||||
\(373\) | −15.0158 | −0.777489 | −0.388744 | − | 0.921346i | \(-0.627091\pi\) | ||||
−0.388744 | + | 0.921346i | \(0.627091\pi\) | |||||||
\(374\) | 1.18942 | + | 2.59401i | 0.0615033 | + | 0.134133i | ||||
\(375\) | 1.40667 | + | 1.40667i | 0.0726401 | + | 0.0726401i | ||||
\(376\) | 10.7728 | + | 3.10987i | 0.555567 | + | 0.160379i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 6.99210 | + | 15.2491i | 0.359635 | + | 0.784331i | ||||
\(379\) | −23.5868 | + | 23.5868i | −1.21157 | + | 1.21157i | −0.241064 | + | 0.970509i | \(0.577496\pi\) |
−0.970509 | + | 0.241064i | \(0.922504\pi\) | |||||||
\(380\) | −1.99078 | − | 1.71445i | −0.102125 | − | 0.0879494i | ||||
\(381\) | − | 4.54275i | − | 0.232732i | ||||||
\(382\) | 5.13147 | + | 1.90505i | 0.262549 | + | 0.0974711i | ||||
\(383\) | 14.8033 | − | 14.8033i | 0.756412 | − | 0.756412i | −0.219256 | − | 0.975667i | \(-0.570363\pi\) |
0.975667 | + | 0.219256i | \(0.0703629\pi\) | |||||||
\(384\) | −7.63712 | + | 5.84498i | −0.389730 | + | 0.298275i | ||||
\(385\) | −0.634552 | + | 0.634552i | −0.0323398 | + | 0.0323398i | ||||
\(386\) | −4.84776 | − | 10.5725i | −0.246745 | − | 0.538128i | ||||
\(387\) | 20.9233 | 1.06359 | ||||||||
\(388\) | −2.30157 | − | 30.8605i | −0.116844 | − | 1.56671i | ||||
\(389\) | 9.60410i | 0.486947i | 0.969908 | + | 0.243474i | \(0.0782870\pi\) | ||||
−0.969908 | + | 0.243474i | \(0.921713\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.2354i | 0.618772i | ||||||||
\(392\) | −0.0107991 | − | 0.0195643i | −0.000545436 | − | 0.000988145i | ||||
\(393\) | 9.54203 | 0.481332 | ||||||||
\(394\) | 15.9156 | − | 7.29770i | 0.801817 | − | 0.367653i | ||||
\(395\) | −1.41718 | + | 1.41718i | −0.0713063 | + | 0.0713063i | ||||
\(396\) | 0.488529 | + | 6.55043i | 0.0245495 | + | 0.329172i | ||||
\(397\) | 1.82627 | − | 1.82627i | 0.0916580 | − | 0.0916580i | −0.659791 | − | 0.751449i | \(-0.729355\pi\) |
0.751449 | + | 0.659791i | \(0.229355\pi\) | |||||||
\(398\) | 1.19800 | − | 3.22694i | 0.0600503 | − | 0.161752i | ||||
\(399\) | − | 12.5470i | − | 0.628138i | ||||||
\(400\) | 19.5597 | − | 2.93383i | 0.977984 | − | 0.146691i | ||||
\(401\) | 19.1281 | − | 19.1281i | 0.955211 | − | 0.955211i | −0.0438280 | − | 0.999039i | \(-0.513955\pi\) |
0.999039 | + | 0.0438280i | \(0.0139554\pi\) | |||||||
\(402\) | −2.75611 | + | 1.26374i | −0.137462 | + | 0.0630298i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 11.9739 | − | 13.9038i | 0.595723 | − | 0.691742i | ||||
\(405\) | 0.502366 | + | 0.502366i | 0.0249628 | + | 0.0249628i | ||||
\(406\) | 14.3464 | − | 6.57817i | 0.712000 | − | 0.326469i | ||||
\(407\) | −0.746494 | −0.0370023 | ||||||||
\(408\) | −2.94528 | + | 1.62574i | −0.145813 | + | 0.0804859i | ||||
\(409\) | −3.39034 | − | 3.39034i | −0.167642 | − | 0.167642i | 0.618300 | − | 0.785942i | \(-0.287822\pi\) |
−0.785942 | + | 0.618300i | \(0.787822\pi\) | |||||||
\(410\) | −1.80822 | − | 0.671299i | −0.0893014 | − | 0.0331531i | ||||
\(411\) | 2.88999 | + | 2.88999i | 0.142553 | + | 0.142553i | ||||
\(412\) | 16.5308 | + | 14.2362i | 0.814414 | + | 0.701368i | ||||
\(413\) | 22.5289i | 1.10857i | ||||||||
\(414\) | −9.80195 | + | 26.4026i | −0.481740 | + | 1.29762i | ||||
\(415\) | 2.30035 | 0.112920 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.89987 | 0.288918 | ||||||||
\(418\) | 3.96223 | − | 10.6727i | 0.193799 | − | 0.522018i | ||||
\(419\) | 5.60503i | 0.273824i | 0.990583 | + | 0.136912i | \(0.0437177\pi\) | ||||
−0.990583 | + | 0.136912i | \(0.956282\pi\) | |||||||
\(420\) | −0.801626 | − | 0.690355i | −0.0391154 | − | 0.0336859i | ||||
\(421\) | −3.55354 | − | 3.55354i | −0.173189 | − | 0.173189i | 0.615190 | − | 0.788379i | \(-0.289079\pi\) |
−0.788379 | + | 0.615190i | \(0.789079\pi\) | |||||||
\(422\) | −5.55579 | − | 2.06258i | −0.270451 | − | 0.100405i | ||||
\(423\) | 6.38405 | + | 6.38405i | 0.310403 | + | 0.310403i | ||||
\(424\) | −14.7203 | + | 8.12531i | −0.714881 | + | 0.394600i | ||||
\(425\) | 6.91873 | 0.335607 | ||||||||
\(426\) | −11.8788 | + | 5.44672i | −0.575530 | + | 0.263895i | ||||
\(427\) | 13.5036 | + | 13.5036i | 0.653484 | + | 0.653484i | ||||
\(428\) | −12.8640 | + | 14.9374i | −0.621805 | + | 0.722027i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.77934 | + | 1.27439i | −0.134032 | + | 0.0614567i | ||||
\(431\) | 2.44497 | − | 2.44497i | 0.117770 | − | 0.117770i | −0.645766 | − | 0.763536i | \(-0.723462\pi\) |
0.763536 | + | 0.645766i | \(0.223462\pi\) | |||||||
\(432\) | −17.7456 | + | 2.66173i | −0.853788 | + | 0.128063i | ||||
\(433\) | − | 5.47262i | − | 0.262997i | −0.991316 | − | 0.131499i | \(-0.958021\pi\) | ||
0.991316 | − | 0.131499i | \(-0.0419789\pi\) | |||||||
\(434\) | −7.14339 | + | 19.2415i | −0.342894 | + | 0.923622i | ||||
\(435\) | −0.596987 | + | 0.596987i | −0.0286233 | + | 0.0286233i | ||||
\(436\) | 0.00511532 | + | 0.0685887i | 0.000244980 | + | 0.00328480i | ||||
\(437\) | 34.5150 | − | 34.5150i | 1.65107 | − | 1.65107i | ||||
\(438\) | 7.81043 | − | 3.58127i | 0.373197 | − | 0.171120i | ||||
\(439\) | −30.5063 | −1.45599 | −0.727994 | − | 0.685584i | \(-0.759547\pi\) | ||||
−0.727994 | + | 0.685584i | \(0.759547\pi\) | |||||||
\(440\) | −0.463868 | − | 0.840371i | −0.0221140 | − | 0.0400631i | ||||
\(441\) | − | 0.0179935i | − | 0.000856833i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 12.8994i | − | 0.612869i | −0.951892 | − | 0.306434i | \(-0.900864\pi\) | ||
0.951892 | − | 0.306434i | \(-0.0991360\pi\) | |||||||
\(444\) | −0.0654505 | − | 0.877592i | −0.00310614 | − | 0.0416487i | ||||
\(445\) | 1.56337 | 0.0741108 | ||||||||
\(446\) | −11.0983 | − | 24.2043i | −0.525518 | − | 1.14611i | ||||
\(447\) | 9.11058 | − | 9.11058i | 0.430916 | − | 0.430916i | ||||
\(448\) | −20.6287 | + | 4.68507i | −0.974616 | + | 0.221349i | ||||
\(449\) | 6.97915 | − | 6.97915i | 0.329367 | − | 0.329367i | −0.522979 | − | 0.852346i | \(-0.675179\pi\) |
0.852346 | + | 0.522979i | \(0.175179\pi\) | |||||||
\(450\) | 14.9298 | + | 5.54268i | 0.703798 | + | 0.261284i | ||||
\(451\) | − | 8.35786i | − | 0.393556i | ||||||
\(452\) | −6.90038 | − | 5.94256i | −0.324567 | − | 0.279515i | ||||
\(453\) | −0.408721 | + | 0.408721i | −0.0192034 | + | 0.0192034i | ||||
\(454\) | −4.38536 | − | 9.56407i | −0.205815 | − | 0.448864i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.8944 | + | 3.72231i | 0.603836 | + | 0.174313i | ||||
\(457\) | 7.34129 | + | 7.34129i | 0.343411 | + | 0.343411i | 0.857648 | − | 0.514237i | \(-0.171925\pi\) |
−0.514237 | + | 0.857648i | \(0.671925\pi\) | |||||||
\(458\) | 2.64850 | + | 5.77614i | 0.123756 | + | 0.269901i | ||||
\(459\) | −6.27706 | −0.292988 | ||||||||
\(460\) | −0.306091 | − | 4.10421i | −0.0142715 | − | 0.191360i | ||||
\(461\) | −20.3185 | − | 20.3185i | −0.946329 | − | 0.946329i | 0.0523023 | − | 0.998631i | \(-0.483344\pi\) |
−0.998631 | + | 0.0523023i | \(0.983344\pi\) | |||||||
\(462\) | 1.59546 | − | 4.29756i | 0.0742277 | − | 0.199941i | ||||
\(463\) | 5.89061 | + | 5.89061i | 0.273760 | + | 0.273760i | 0.830612 | − | 0.556852i | \(-0.187991\pi\) |
−0.556852 | + | 0.830612i | \(0.687991\pi\) | |||||||
\(464\) | 2.50416 | + | 16.6951i | 0.116253 | + | 0.775051i | ||||
\(465\) | − | 1.09794i | − | 0.0509156i | ||||||
\(466\) | −17.6603 | − | 6.55637i | −0.818097 | − | 0.303718i | ||||
\(467\) | 3.30334 | 0.152860 | 0.0764301 | − | 0.997075i | \(-0.475648\pi\) | ||||
0.0764301 | + | 0.997075i | \(0.475648\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.66931 | −0.307960 | ||||||||
\(470\) | −1.23686 | − | 0.459185i | −0.0570523 | − | 0.0211806i | ||||
\(471\) | 5.01872i | 0.231250i | ||||||||
\(472\) | −23.1526 | − | 6.68361i | −1.06568 | − | 0.307638i | ||||
\(473\) | −9.36849 | − | 9.36849i | −0.430764 | − | 0.430764i | ||||
\(474\) | 3.56325 | − | 9.59801i | 0.163666 | − | 0.440851i | ||||
\(475\) | −19.5171 | − | 19.5171i | −0.895505 | − | 0.895505i | ||||
\(476\) | −7.37943 | + | 0.550355i | −0.338235 | + | 0.0252255i | ||||
\(477\) | −13.5384 | −0.619882 | ||||||||
\(478\) | 4.97358 | + | 10.8469i | 0.227486 | + | 0.496127i | ||||
\(479\) | −19.6666 | − | 19.6666i | −0.898589 | − | 0.898589i | 0.0967224 | − | 0.995311i | \(-0.469164\pi\) |
−0.995311 | + | 0.0967224i | \(0.969164\pi\) | |||||||
\(480\) | 0.947285 | − | 0.619013i | 0.0432374 | − | 0.0282539i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −9.11729 | − | 19.8840i | −0.415281 | − | 0.905691i | ||||
\(483\) | 13.8981 | − | 13.8981i | 0.632385 | − | 0.632385i | ||||
\(484\) | −11.6420 | + | 13.5185i | −0.529184 | + | 0.614478i | ||||
\(485\) | 3.64130i | 0.165343i | ||||||||
\(486\) | −21.2451 | − | 7.88721i | −0.963695 | − | 0.357771i | ||||
\(487\) | −7.29545 | + | 7.29545i | −0.330588 | + | 0.330588i | −0.852810 | − | 0.522222i | \(-0.825103\pi\) |
0.522222 | + | 0.852810i | \(0.325103\pi\) | |||||||
\(488\) | −17.8835 | + | 9.87134i | −0.809549 | + | 0.446855i | ||||
\(489\) | −9.45652 | + | 9.45652i | −0.427638 | + | 0.427638i | ||||
\(490\) | 0.00109595 | + | 0.00239016i | 4.95099e−5 | + | 0.000107977i | ||||
\(491\) | 13.6249 | 0.614881 | 0.307441 | − | 0.951567i | \(-0.400527\pi\) | ||||
0.307441 | + | 0.951567i | \(0.400527\pi\) | |||||||
\(492\) | 9.82565 | − | 0.732794i | 0.442975 | − | 0.0330369i | ||||
\(493\) | 5.90546i | 0.265969i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 0.772899i | − | 0.0347392i | ||||||
\(496\) | −17.6550 | − | 13.0495i | −0.792732 | − | 0.585940i | ||||
\(497\) | −28.7447 | −1.28938 | ||||||||
\(498\) | −10.6816 | + | 4.89775i | −0.478652 | + | 0.219474i | ||||
\(499\) | −11.2288 | + | 11.2288i | −0.502670 | + | 0.502670i | −0.912267 | − | 0.409597i | \(-0.865669\pi\) |
0.409597 | + | 0.912267i | \(0.365669\pi\) | |||||||
\(500\) | −4.66758 | + | 0.348107i | −0.208741 | + | 0.0155678i | ||||
\(501\) | −3.36988 | + | 3.36988i | −0.150555 | + | 0.150555i | ||||
\(502\) | 13.5244 | − | 36.4296i | 0.603625 | − | 1.62593i | ||||
\(503\) | 22.8605i | 1.01930i | 0.860382 | + | 0.509650i | \(0.170225\pi\) | ||||
−0.860382 | + | 0.509650i | \(0.829775\pi\) | |||||||
\(504\) | −16.3649 | − | 4.72415i | −0.728948 | − | 0.210430i | ||||
\(505\) | −1.52668 | + | 1.52668i | −0.0679365 | + | 0.0679365i | ||||
\(506\) | 16.2108 | − | 7.43304i | 0.720657 | − | 0.330439i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.09892 | + | 6.97473i | 0.359331 | + | 0.309454i | ||||
\(509\) | −6.97468 | − | 6.97468i | −0.309147 | − | 0.309147i | 0.535431 | − | 0.844579i | \(-0.320149\pi\) |
−0.844579 | + | 0.535431i | \(0.820149\pi\) | |||||||
\(510\) | 0.359824 | − | 0.164988i | 0.0159333 | − | 0.00730580i | ||||
\(511\) | 18.8999 | 0.836083 | ||||||||
\(512\) | 1.30512 | − | 22.5897i | 0.0576787 | − | 0.998335i | ||||
\(513\) | 17.7070 | + | 17.7070i | 0.781783 | + | 0.781783i | ||||
\(514\) | 36.9039 | + | 13.7005i | 1.62776 | + | 0.604305i | ||||
\(515\) | −1.81513 | − | 1.81513i | −0.0799842 | − | 0.0799842i | ||||
\(516\) | 10.1924 | − | 11.8352i | 0.448694 | − | 0.521015i | ||||
\(517\) | − | 5.71698i | − | 0.251433i | ||||||
\(518\) | 0.673709 | − | 1.81471i | 0.0296011 | − | 0.0797338i | ||||
\(519\) | −1.83676 | −0.0806246 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.9204 | 0.697486 | 0.348743 | − | 0.937218i | \(-0.386609\pi\) | ||||
0.348743 | + | 0.937218i | \(0.386609\pi\) | |||||||
\(522\) | −4.73094 | + | 12.7433i | −0.207068 | + | 0.557760i | ||||
\(523\) | − | 2.15778i | − | 0.0943532i | −0.998887 | − | 0.0471766i | \(-0.984978\pi\) | ||
0.998887 | − | 0.0471766i | \(-0.0150224\pi\) | |||||||
\(524\) | −14.6504 | + | 17.0118i | −0.640006 | + | 0.743162i | ||||
\(525\) | −7.85891 | − | 7.85891i | −0.342991 | − | 0.342991i | ||||
\(526\) | −31.5620 | − | 11.7174i | −1.37617 | − | 0.510901i | ||||
\(527\) | −5.43046 | − | 5.43046i | −0.236554 | − | 0.236554i | ||||
\(528\) | 3.94321 | + | 2.91459i | 0.171606 | + | 0.126841i | ||||
\(529\) | 53.4630 | 2.32448 | ||||||||
\(530\) | 1.79838 | − | 0.824599i | 0.0781165 | − | 0.0358183i | ||||
\(531\) | −13.7203 | − | 13.7203i | −0.595412 | − | 0.595412i | ||||
\(532\) | 22.3692 | + | 19.2642i | 0.969826 | + | 0.835207i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −7.25943 | + | 3.32863i | −0.314146 | + | 0.144044i | ||||
\(535\) | 1.64017 | − | 1.64017i | 0.0709109 | − | 0.0709109i | ||||
\(536\) | 1.97857 | − | 6.85395i | 0.0854614 | − | 0.296045i | ||||
\(537\) | − | 8.61329i | − | 0.371691i | ||||||
\(538\) | 10.1944 | − | 27.4597i | 0.439512 | − | 1.18387i | ||||
\(539\) | −0.00805668 | + | 0.00805668i | −0.000347026 | + | 0.000347026i | ||||
\(540\) | 2.10556 | − | 0.157032i | 0.0906087 | − | 0.00675757i | ||||
\(541\) | −8.15947 | + | 8.15947i | −0.350803 | + | 0.350803i | −0.860408 | − | 0.509605i | \(-0.829791\pi\) |
0.509605 | + | 0.860408i | \(0.329791\pi\) | |||||||
\(542\) | −17.7657 | + | 8.14598i | −0.763100 | + | 0.349900i | ||||
\(543\) | 11.7755 | 0.505334 | ||||||||
\(544\) | 1.62365 | − | 7.74700i | 0.0696135 | − | 0.332150i | ||||
\(545\) | − | 0.00809292i | − | 0.000346663i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.11076i | 0.346791i | 0.984852 | + | 0.173396i | \(0.0554739\pi\) | ||||
−0.984852 | + | 0.173396i | \(0.944526\pi\) | |||||||
\(548\) | −9.58951 | + | 0.715183i | −0.409644 | + | 0.0305511i | ||||
\(549\) | −16.4477 | −0.701970 | ||||||||
\(550\) | −4.20314 | − | 9.16667i | −0.179222 | − | 0.390868i | ||||
\(551\) | 16.6588 | − | 16.6588i | 0.709687 | − | 0.709687i | ||||
\(552\) | 10.1597 | + | 18.4060i | 0.432427 | + | 0.783411i | ||||
\(553\) | 15.9240 | − | 15.9240i | 0.677157 | − | 0.677157i | ||||
\(554\) | −16.8822 | − | 6.26750i | −0.717256 | − | 0.266281i | ||||
\(555\) | 0.103549i | 0.00439540i | ||||||||
\(556\) | −9.05840 | + | 10.5184i | −0.384162 | + | 0.446081i | ||||
\(557\) | 2.42571 | − | 2.42571i | 0.102781 | − | 0.102781i | −0.653846 | − | 0.756627i | \(-0.726846\pi\) |
0.756627 | + | 0.653846i | \(0.226846\pi\) | |||||||
\(558\) | −7.36789 | − | 16.0687i | −0.311908 | − | 0.680243i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.46156 | − | 0.369219i | 0.104020 | − | 0.0156023i | ||||
\(561\) | 1.21288 | + | 1.21288i | 0.0512080 | + | 0.0512080i | ||||
\(562\) | −12.8752 | − | 28.0797i | −0.543109 | − | 1.18447i | ||||
\(563\) | 6.24260 | 0.263094 | 0.131547 | − | 0.991310i | \(-0.458006\pi\) | ||||
0.131547 | + | 0.991310i | \(0.458006\pi\) | |||||||
\(564\) | 6.72099 | − | 0.501249i | 0.283005 | − | 0.0211064i | ||||
\(565\) | 0.757683 | + | 0.757683i | 0.0318759 | + | 0.0318759i | ||||
\(566\) | 10.1835 | − | 27.4304i | 0.428045 | − | 1.15299i | ||||
\(567\) | −5.64476 | − | 5.64476i | −0.237058 | − | 0.237058i | ||||
\(568\) | 8.52765 | − | 29.5405i | 0.357812 | − | 1.23949i | ||||
\(569\) | 32.2126i | 1.35042i | 0.737625 | + | 0.675211i | \(0.235947\pi\) | ||||
−0.737625 | + | 0.675211i | \(0.764053\pi\) | |||||||
\(570\) | −1.48045 | − | 0.549615i | −0.0620091 | − | 0.0230208i | ||||
\(571\) | −41.4189 | −1.73333 | −0.866663 | − | 0.498894i | \(-0.833740\pi\) | ||||
−0.866663 | + | 0.498894i | \(0.833740\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.29007 | 0.137445 | ||||||||
\(574\) | 20.3178 | + | 7.54295i | 0.848047 | + | 0.314837i | ||||
\(575\) | − | 43.2373i | − | 1.80312i | ||||||
\(576\) | 9.70988 | − | 15.4164i | 0.404578 | − | 0.642350i | ||||
\(577\) | −12.3408 | − | 12.3408i | −0.513753 | − | 0.513753i | 0.401921 | − | 0.915674i | \(-0.368343\pi\) |
−0.915674 | + | 0.401921i | \(0.868343\pi\) | |||||||
\(578\) | −7.40375 | + | 19.9428i | −0.307955 | + | 0.829511i | ||||
\(579\) | −4.94341 | − | 4.94341i | −0.205441 | − | 0.205441i | ||||
\(580\) | −0.147736 | − | 1.98091i | −0.00613439 | − | 0.0822528i | ||||
\(581\) | −25.8475 | −1.07234 | ||||||||
\(582\) | −7.75282 | − | 16.9082i | −0.321365 | − | 0.700867i | ||||
\(583\) | 6.06191 | + | 6.06191i | 0.251058 | + | 0.251058i | ||||
\(584\) | −5.60701 | + | 19.4231i | −0.232020 | + | 0.803736i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.5920 | − | 29.6430i | −0.561481 | − | 1.22454i | ||||
\(587\) | 16.3380 | − | 16.3380i | 0.674340 | − | 0.674340i | −0.284374 | − | 0.958713i | \(-0.591786\pi\) |
0.958713 | + | 0.284374i | \(0.0917857\pi\) | |||||||
\(588\) | −0.0101780 | − | 0.00876519i | −0.000419732 | − | 0.000361470i | ||||
\(589\) | 30.6376i | 1.26240i | ||||||||
\(590\) | 2.65822 | + | 0.986862i | 0.109437 | + | 0.0406285i | ||||
\(591\) | 7.44168 | − | 7.44168i | 0.306110 | − | 0.306110i | ||||
\(592\) | 1.66508 | + | 1.23073i | 0.0684344 | + | 0.0505826i | ||||
\(593\) | −11.0244 | + | 11.0244i | −0.452717 | + | 0.452717i | −0.896255 | − | 0.443538i | \(-0.853723\pi\) |
0.443538 | + | 0.896255i | \(0.353723\pi\) | |||||||
\(594\) | 3.81333 | + | 8.31652i | 0.156463 | + | 0.341231i | ||||
\(595\) | 0.870713 | 0.0356958 | ||||||||
\(596\) | 2.25458 | + | 30.2305i | 0.0923513 | + | 1.23829i | ||||
\(597\) | − | 2.06898i | − | 0.0846775i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.6090i | 0.433471i | 0.976230 | + | 0.216735i | \(0.0695409\pi\) | ||||
−0.976230 | + | 0.216735i | \(0.930459\pi\) | |||||||
\(600\) | 10.4080 | − | 5.74499i | 0.424904 | − | 0.234538i | ||||
\(601\) | 28.2503 | 1.15235 | 0.576177 | − | 0.817325i | \(-0.304544\pi\) | ||||
0.576177 | + | 0.817325i | \(0.304544\pi\) | |||||||
\(602\) | 31.2296 | − | 14.3195i | 1.27283 | − | 0.583621i | ||||
\(603\) | 4.06169 | − | 4.06169i | 0.165405 | − | 0.165405i | ||||
\(604\) | −0.101146 | − | 1.35621i | −0.00411556 | − | 0.0551834i | ||||
\(605\) | 1.48437 | − | 1.48437i | 0.0603483 | − | 0.0603483i | ||||
\(606\) | 3.83856 | − | 10.3396i | 0.155931 | − | 0.420017i | ||||
\(607\) | − | 10.2708i | − | 0.416878i | −0.978035 | − | 0.208439i | \(-0.933162\pi\) | ||
0.978035 | − | 0.208439i | \(-0.0668383\pi\) | |||||||
\(608\) | −26.4337 | + | 17.2734i | −1.07203 | + | 0.700528i | ||||
\(609\) | 6.70796 | − | 6.70796i | 0.271820 | − | 0.271820i | ||||
\(610\) | 2.18483 | − | 1.00180i | 0.0884610 | − | 0.0405615i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 4.15898 | − | 4.82933i | 0.168117 | − | 0.195214i | ||||
\(613\) | −25.0553 | − | 25.0553i | −1.01198 | − | 1.01198i | −0.999927 | − | 0.0120477i | \(-0.996165\pi\) |
−0.0120477 | − | 0.999927i | \(-0.503835\pi\) | |||||||
\(614\) | −29.6632 | + | 13.6013i | −1.19711 | + | 0.548905i | ||||
\(615\) | −1.15935 | −0.0467495 | ||||||||
\(616\) | 5.21218 | + | 9.44271i | 0.210005 | + | 0.380458i | ||||
\(617\) | 29.6355 | + | 29.6355i | 1.19308 | + | 1.19308i | 0.976198 | + | 0.216881i | \(0.0695882\pi\) |
0.216881 | + | 0.976198i | \(0.430412\pi\) | |||||||
\(618\) | 12.2931 | + | 4.56381i | 0.494502 | + | 0.183584i | ||||
\(619\) | −12.0880 | − | 12.0880i | −0.485858 | − | 0.485858i | 0.421138 | − | 0.906996i | \(-0.361631\pi\) |
−0.906996 | + | 0.421138i | \(0.861631\pi\) | |||||||
\(620\) | 1.95743 | + | 1.68572i | 0.0786122 | + | 0.0677002i | ||||
\(621\) | 39.2273i | 1.57414i | ||||||||
\(622\) | −4.20599 | + | 11.3293i | −0.168645 | + | 0.454263i | ||||
\(623\) | −17.5666 | −0.703790 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.1724 | −0.966894 | ||||||||
\(626\) | −2.89600 | + | 7.80069i | −0.115747 | + | 0.311778i | ||||
\(627\) | − | 6.84286i | − | 0.273278i | ||||||
\(628\) | −8.94749 | − | 7.70552i | −0.357044 | − | 0.307484i | ||||
\(629\) | 0.512159 | + | 0.512159i | 0.0204211 | + | 0.0204211i | ||||
\(630\) | 1.87890 | + | 0.697540i | 0.0748572 | + | 0.0277907i | ||||
\(631\) | 8.52621 | + | 8.52621i | 0.339423 | + | 0.339423i | 0.856150 | − | 0.516727i | \(-0.172850\pi\) |
−0.516727 | + | 0.856150i | \(0.672850\pi\) | |||||||
\(632\) | 11.6407 | + | 21.0890i | 0.463042 | + | 0.838875i | ||||
\(633\) | −3.56213 | −0.141582 | ||||||||
\(634\) | −30.0051 | + | 13.7581i | −1.19166 | + | 0.546403i | ||||
\(635\) | −0.889285 | − | 0.889285i | −0.0352902 | − | 0.0352902i | ||||
\(636\) | −6.59499 | + | 7.65798i | −0.261509 | + | 0.303659i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 7.82419 | − | 3.58758i | 0.309763 | − | 0.142034i | ||||
\(639\) | 17.5059 | − | 17.5059i | 0.692521 | − | 0.692521i | ||||
\(640\) | −0.350828 | + | 2.63925i | −0.0138677 | + | 0.104325i | ||||
\(641\) | − | 2.09731i | − | 0.0828386i | −0.999142 | − | 0.0414193i | \(-0.986812\pi\) | ||
0.999142 | − | 0.0414193i | \(-0.0131880\pi\) | |||||||
\(642\) | −4.12391 | + | 11.1082i | −0.162758 | + | 0.438406i | ||||
\(643\) | 29.9695 | − | 29.9695i | 1.18188 | − | 1.18188i | 0.202627 | − | 0.979256i | \(-0.435052\pi\) |
0.979256 | − | 0.202627i | \(-0.0649478\pi\) | |||||||
\(644\) | 3.43934 | + | 46.1163i | 0.135529 | + | 1.81724i | ||||
\(645\) | −1.29954 | + | 1.29954i | −0.0511692 | + | 0.0511692i | ||||
\(646\) | −10.0408 | + | 4.60395i | −0.395050 | + | 0.181140i | ||||
\(647\) | 43.0799 | 1.69365 | 0.846824 | − | 0.531874i | \(-0.178512\pi\) | ||||
0.846824 | + | 0.531874i | \(0.178512\pi\) | |||||||
\(648\) | 7.47566 | − | 4.12641i | 0.293672 | − | 0.162101i | ||||
\(649\) | 12.2867i | 0.482296i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.3368i | 0.483518i | ||||||||
\(652\) | −2.34019 | − | 31.3784i | −0.0916490 | − | 1.22887i | ||||
\(653\) | −11.1212 | −0.435206 | −0.217603 | − | 0.976037i | \(-0.569824\pi\) | ||||
−0.217603 | + | 0.976037i | \(0.569824\pi\) | |||||||
\(654\) | 0.0172309 | + | 0.0375791i | 0.000673782 | + | 0.00146946i | ||||
\(655\) | 1.86794 | − | 1.86794i | 0.0729865 | − | 0.0729865i | ||||
\(656\) | −13.7794 | + | 18.6425i | −0.537996 | + | 0.727867i | ||||
\(657\) | −11.5103 | + | 11.5103i | −0.449058 | + | 0.449058i | ||||
\(658\) | 13.8978 | + | 5.15956i | 0.541795 | + | 0.201141i | ||||
\(659\) | − | 15.2432i | − | 0.593792i | −0.954910 | − | 0.296896i | \(-0.904048\pi\) | ||
0.954910 | − | 0.296896i | \(-0.0959515\pi\) | |||||||
\(660\) | −0.437188 | − | 0.376503i | −0.0170175 | − | 0.0146554i | ||||
\(661\) | 7.30232 | − | 7.30232i | 0.284027 | − | 0.284027i | −0.550685 | − | 0.834713i | \(-0.685634\pi\) |
0.834713 | + | 0.550685i | \(0.185634\pi\) | |||||||
\(662\) | −8.46813 | − | 18.4682i | −0.329123 | − | 0.717788i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.66815 | − | 26.5631i | 0.297582 | − | 1.03085i | ||||
\(665\) | −2.45620 | − | 2.45620i | −0.0952474 | − | 0.0952474i | ||||
\(666\) | 0.694883 | + | 1.51548i | 0.0269262 | + | 0.0587235i | ||||
\(667\) | 36.9051 | 1.42897 | ||||||||
\(668\) | −0.833940 | − | 11.1819i | −0.0322661 | − | 0.432639i | ||||
\(669\) | −11.3172 | − | 11.3172i | −0.437549 | − | 0.437549i | ||||
\(670\) | −0.292145 | + | 0.786923i | −0.0112865 | + | 0.0304015i | ||||
\(671\) | 7.36454 | + | 7.36454i | 0.284305 | + | 0.284305i | ||||
\(672\) | −10.6440 | + | 6.95545i | −0.410602 | + | 0.268312i | ||||
\(673\) | − | 29.7947i | − | 1.14850i | −0.818680 | − | 0.574251i | \(-0.805293\pi\) | ||
0.818680 | − | 0.574251i | \(-0.194707\pi\) | |||||||
\(674\) | 19.0155 | + | 7.05950i | 0.732451 | + | 0.271922i | ||||
\(675\) | 22.1818 | 0.853776 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −29.1021 | −1.11849 | −0.559243 | − | 0.829004i | \(-0.688908\pi\) | ||||
−0.559243 | + | 0.829004i | \(0.688908\pi\) | |||||||
\(678\) | −5.13147 | − | 1.90505i | −0.197073 | − | 0.0731632i | ||||
\(679\) | − | 40.9149i | − | 1.57017i | ||||||
\(680\) | −0.258313 | + | 0.894819i | −0.00990586 | + | 0.0343147i | ||||
\(681\) | −4.47188 | − | 4.47188i | −0.171363 | − | 0.171363i | ||||
\(682\) | −3.89584 | + | 10.4939i | −0.149179 | + | 0.401831i | ||||
\(683\) | 3.56874 | + | 3.56874i | 0.136554 | + | 0.136554i | 0.772080 | − | 0.635526i | \(-0.219217\pi\) |
−0.635526 | + | 0.772080i | \(0.719217\pi\) | |||||||
\(684\) | −25.3552 | + | 1.89098i | −0.969480 | + | 0.0723035i | ||||
\(685\) | 1.13149 | 0.0432319 | ||||||||
\(686\) | −10.9228 | − | 23.8216i | −0.417033 | − | 0.909511i | ||||
\(687\) | 2.70075 | + | 2.70075i | 0.103040 | + | 0.103040i | ||||
\(688\) | 5.45113 | + | 36.3424i | 0.207822 | + | 1.38554i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −1.03106 | − | 2.24866i | −0.0392519 | − | 0.0856049i | ||||
\(691\) | −7.90295 | + | 7.90295i | −0.300642 | + | 0.300642i | −0.841265 | − | 0.540623i | \(-0.818189\pi\) |
0.540623 | + | 0.841265i | \(0.318189\pi\) | |||||||
\(692\) | 2.82007 | − | 3.27461i | 0.107203 | − | 0.124482i | ||||
\(693\) | 8.68457i | 0.329900i | ||||||||
\(694\) | −0.623535 | − | 0.231487i | −0.0236691 | − | 0.00878711i | ||||
\(695\) | 1.15495 | − | 1.15495i | 0.0438099 | − | 0.0438099i | ||||
\(696\) | 4.90363 | + | 8.88371i | 0.185872 | + | 0.336736i | ||||
\(697\) | −5.73421 | + | 5.73421i | −0.217199 | + | 0.217199i | ||||
\(698\) | −16.6711 | − | 36.3583i | −0.631012 | − | 1.37618i | ||||
\(699\) | −11.3230 | −0.428275 | ||||||||
\(700\) | 26.0773 | − | 1.94483i | 0.985628 | − | 0.0735078i | ||||
\(701\) | − | 27.1476i | − | 1.02535i | −0.858582 | − | 0.512676i | \(-0.828654\pi\) | ||
0.858582 | − | 0.512676i | \(-0.171346\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 2.88950i | − | 0.108980i | ||||||
\(704\) | −11.2504 | + | 2.55513i | −0.424016 | + | 0.0963000i | ||||
\(705\) | −0.793023 | −0.0298670 | ||||||||
\(706\) | −46.2170 | + | 21.1916i | −1.73940 | + | 0.797557i | ||||
\(707\) | 17.1544 | − | 17.1544i | 0.645156 | − | 0.645156i | ||||
\(708\) | −14.4445 | + | 1.07726i | −0.542857 | + | 0.0404861i | ||||
\(709\) | 30.0036 | − | 30.0036i | 1.12681 | − | 1.12681i | 0.136118 | − | 0.990693i | \(-0.456537\pi\) |
0.990693 | − | 0.136118i | \(-0.0434626\pi\) | |||||||
\(710\) | −1.25914 | + | 3.39163i | −0.0472547 | + | 0.127286i | ||||
\(711\) | 19.3958i | 0.727399i | ||||||||
\(712\) | 5.21145 | − | 18.0529i | 0.195307 | − | 0.676561i | ||||
\(713\) | −33.9366 | + | 33.9366i | −1.27094 | + | 1.27094i | ||||
\(714\) | −4.04312 | + | 1.85387i | −0.151310 | + | 0.0693792i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 15.3560 | + | 13.2245i | 0.573880 | + | 0.494221i | ||||
\(717\) | 5.07171 | + | 5.07171i | 0.189406 | + | 0.189406i | ||||
\(718\) | 21.3009 | − | 9.76699i | 0.794943 | − | 0.364501i | ||||
\(719\) | 16.4313 | 0.612785 | 0.306392 | − | 0.951905i | \(-0.400878\pi\) | ||||
0.306392 | + | 0.951905i | \(0.400878\pi\) | |||||||
\(720\) | −1.27426 | + | 1.72398i | −0.0474889 | + | 0.0642489i | ||||
\(721\) | 20.3955 | + | 20.3955i | 0.759567 | + | 0.759567i | ||||
\(722\) | 16.1213 | + | 5.98503i | 0.599974 | + | 0.222740i | ||||
\(723\) | −9.29717 | − | 9.29717i | −0.345765 | − | 0.345765i | ||||
\(724\) | −18.0795 | + | 20.9936i | −0.671921 | + | 0.780221i | ||||
\(725\) | − | 20.8686i | − | 0.775041i | ||||||
\(726\) | −3.73218 | + | 10.0530i | −0.138514 | + | 0.373103i | ||||
\(727\) | −32.1429 | −1.19211 | −0.596057 | − | 0.802942i | \(-0.703267\pi\) | ||||
−0.596057 | + | 0.802942i | \(0.703267\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4.56452 | −0.169056 | ||||||||
\(730\) | 0.827898 | − | 2.23003i | 0.0306419 | − | 0.0825372i | ||||
\(731\) | 12.8552i | 0.475466i | ||||||||
\(732\) | −8.01218 | + | 9.30358i | −0.296139 | + | 0.343870i | ||||
\(733\) | 19.2047 | + | 19.2047i | 0.709343 | + | 0.709343i | 0.966397 | − | 0.257054i | \(-0.0827518\pi\) |
−0.257054 | + | 0.966397i | \(0.582752\pi\) | |||||||
\(734\) | −13.4643 | − | 4.99860i | −0.496975 | − | 0.184502i | ||||
\(735\) | 0.00111757 | + | 0.00111757i | 4.12222e−5 | + | 4.12222e-5i | ||||
\(736\) | −48.4134 | − | 10.1467i | −1.78454 | − | 0.374013i | ||||
\(737\) | −3.63728 | −0.133981 | ||||||||
\(738\) | −16.9675 | + | 7.78001i | −0.624582 | + | 0.286386i | ||||
\(739\) | −16.4275 | − | 16.4275i | −0.604297 | − | 0.604297i | 0.337153 | − | 0.941450i | \(-0.390536\pi\) |
−0.941450 | + | 0.337153i | \(0.890536\pi\) | |||||||
\(740\) | −0.184609 | − | 0.158984i | −0.00678637 | − | 0.00584438i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.2072 | + | 9.26549i | −0.741830 | + | 0.340147i | ||||
\(743\) | 27.2871 | − | 27.2871i | 1.00107 | − | 1.00107i | 0.00106799 | − | 0.999999i | \(-0.499660\pi\) |
0.999999 | − | 0.00106799i | \(-0.000339950\pi\) | |||||||
\(744\) | −12.6783 | − | 3.65994i | −0.464811 | − | 0.134180i | ||||
\(745\) | − | 3.56696i | − | 0.130683i | ||||||
\(746\) | 7.39079 | − | 19.9079i | 0.270596 | − | 0.728880i | ||||
\(747\) | 15.7415 | − | 15.7415i | 0.575950 | − | 0.575950i | ||||
\(748\) | −4.02456 | + | 0.300151i | −0.147153 | + | 0.0109746i | ||||
\(749\) | −18.4296 | + | 18.4296i | −0.673402 | + | 0.673402i | ||||
\(750\) | −2.55732 | + | 1.17259i | −0.0933803 | + | 0.0428171i | ||||
\(751\) | 1.29395 | 0.0472168 | 0.0236084 | − | 0.999721i | \(-0.492485\pi\) | ||||
0.0236084 | + | 0.999721i | \(0.492485\pi\) | |||||||
\(752\) | −9.42546 | + | 12.7519i | −0.343711 | + | 0.465015i | ||||
\(753\) | − | 23.3570i | − | 0.851178i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.160022i | 0.00582380i | ||||||||
\(756\) | −23.6588 | + | 1.76446i | −0.860462 | + | 0.0641730i | ||||
\(757\) | −22.5600 | −0.819958 | −0.409979 | − | 0.912095i | \(-0.634464\pi\) | ||||
−0.409979 | + | 0.912095i | \(0.634464\pi\) | |||||||
\(758\) | −19.6619 | − | 42.8808i | −0.714152 | − | 1.55750i | ||||
\(759\) | 7.57969 | − | 7.57969i | 0.275125 | − | 0.275125i | ||||
\(760\) | 3.25288 | − | 1.79552i | 0.117994 | − | 0.0651305i | ||||
\(761\) | 6.15099 | − | 6.15099i | 0.222973 | − | 0.222973i | −0.586776 | − | 0.809749i | \(-0.699603\pi\) |
0.809749 | + | 0.586776i | \(0.199603\pi\) | |||||||
\(762\) | 6.02276 | + | 2.23594i | 0.218182 | + | 0.0809997i | ||||
\(763\) | 0.0909349i | 0.00329207i | ||||||||
\(764\) | −5.05143 | + | 5.86562i | −0.182754 | + | 0.212211i | ||||
\(765\) | −0.530275 | + | 0.530275i | −0.0191721 | + | 0.0191721i | ||||
\(766\) | 12.3399 | + | 26.9123i | 0.445860 | + | 0.972381i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −3.99026 | − | 13.0022i | −0.143986 | − | 0.469175i | ||||
\(769\) | −6.84481 | − | 6.84481i | −0.246830 | − | 0.246830i | 0.572838 | − | 0.819668i | \(-0.305842\pi\) |
−0.819668 | + | 0.572838i | \(0.805842\pi\) | |||||||
\(770\) | −0.528960 | − | 1.15361i | −0.0190624 | − | 0.0415734i | ||||
\(771\) | 23.6611 | 0.852135 | ||||||||
\(772\) | 16.4031 | − | 1.22334i | 0.590361 | − | 0.0440289i | ||||
\(773\) | 13.5763 | + | 13.5763i | 0.488306 | + | 0.488306i | 0.907771 | − | 0.419465i | \(-0.137782\pi\) |
−0.419465 | + | 0.907771i | \(0.637782\pi\) | |||||||
\(774\) | −10.2984 | + | 27.7400i | −0.370170 | + | 0.997093i | ||||
\(775\) | 19.1900 | + | 19.1900i | 0.689327 | + | 0.689327i | ||||
\(776\) | 42.0477 | + | 12.1382i | 1.50942 | + | 0.435735i | ||||
\(777\) | − | 1.16351i | − | 0.0417408i | ||||||
\(778\) | −12.7331 | − | 4.72715i | −0.456504 | − | 0.169477i | ||||
\(779\) | 32.3513 | 1.15911 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.6767 | −0.560955 | ||||||||
\(782\) | −16.2217 | − | 6.02228i | −0.580086 | − | 0.215356i | ||||
\(783\) | 18.9332i | 0.676617i | ||||||||
\(784\) | 0.0312536 | − | 0.00468784i | 0.00111620 | − | 0.000167423i | ||||
\(785\) | 0.982461 | + | 0.982461i | 0.0350655 | + | 0.0350655i | ||||
\(786\) | −4.69660 | + | 12.6508i | −0.167522 | + | 0.451239i | ||||
\(787\) | −21.1389 | − | 21.1389i | −0.753520 | − | 0.753520i | 0.221614 | − | 0.975134i | \(-0.428867\pi\) |
−0.975134 | + | 0.221614i | \(0.928867\pi\) | |||||||
\(788\) | 1.84158 | + | 24.6928i | 0.0656037 | + | 0.879645i | ||||
\(789\) | −20.2362 | −0.720426 | ||||||||
\(790\) | −1.18136 | − | 2.57644i | −0.0420309 | − | 0.0916656i | ||||
\(791\) | −8.51359 | − | 8.51359i | −0.302709 | − | 0.302709i | ||||
\(792\) | −8.92500 | − | 2.57644i | −0.317136 | − | 0.0915498i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 1.52237 | + | 3.32016i | 0.0540270 | + | 0.117828i | ||||
\(795\) | 0.840869 | − | 0.840869i | 0.0298225 | − | 0.0298225i | ||||
\(796\) | 3.68862 | + | 3.17661i | 0.130740 | + | 0.112592i | ||||
\(797\) | 37.2463i | 1.31933i | 0.751559 | + | 0.659665i | \(0.229302\pi\) | ||||
−0.751559 | + | 0.659665i | \(0.770698\pi\) | |||||||
\(798\) | 16.6348 | + | 6.17567i | 0.588867 | + | 0.218616i | ||||
\(799\) | −3.92234 | + | 3.92234i | −0.138762 | + | 0.138762i | ||||
\(800\) | −5.73763 | + | 27.3762i | −0.202856 | + | 0.967895i | ||||
\(801\) | 10.6983 | − | 10.6983i | 0.378004 | − | 0.378004i | ||||
\(802\) | 15.9451 | + | 34.7748i | 0.563041 | + | 1.22794i | ||||
\(803\) | 10.3076 | 0.363746 | ||||||||
\(804\) | −0.318907 | − | 4.27606i | −0.0112470 | − | 0.150805i | ||||
\(805\) | − | 5.44136i | − | 0.191783i | ||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 17.6060i | − | 0.619759i | ||||||
\(808\) | 12.5401 | + | 22.7184i | 0.441160 | + | 0.799232i | ||||
\(809\) | 41.8180 | 1.47024 | 0.735121 | − | 0.677936i | \(-0.237125\pi\) | ||||
0.735121 | + | 0.677936i | \(0.237125\pi\) | |||||||
\(810\) | −0.913300 | + | 0.418770i | −0.0320901 | + | 0.0147141i | ||||
\(811\) | 4.29617 | − | 4.29617i | 0.150859 | − | 0.150859i | −0.627643 | − | 0.778502i | \(-0.715980\pi\) |
0.778502 | + | 0.627643i | \(0.215980\pi\) | |||||||
\(812\) | 1.66001 | + | 22.2582i | 0.0582549 | + | 0.781110i | ||||
\(813\) | −8.30670 | + | 8.30670i | −0.291329 | + | 0.291329i | ||||
\(814\) | 0.367425 | − | 0.989700i | 0.0128782 | − | 0.0346890i | ||||
\(815\) | 3.70240i | 0.129689i | ||||||||
\(816\) | −0.705725 | − | 4.70503i | −0.0247053 | − | 0.164709i | ||||
\(817\) | 36.2632 | − | 36.2632i | 1.26869 | − | 1.26869i | ||||
\(818\) | 6.16364 | − | 2.82618i | 0.215506 | − | 0.0988149i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.78001 | − | 2.06691i | 0.0621607 | − | 0.0721798i | ||||
\(821\) | 13.3510 | + | 13.3510i | 0.465954 | + | 0.465954i | 0.900601 | − | 0.434647i | \(-0.143127\pi\) |
−0.434647 | + | 0.900601i | \(0.643127\pi\) | |||||||
\(822\) | −5.25400 | + | 2.40909i | −0.183254 | + | 0.0840266i | ||||
\(823\) | −13.6087 | −0.474371 | −0.237185 | − | 0.971464i | \(-0.576225\pi\) | ||||
−0.237185 | + | 0.971464i | \(0.576225\pi\) | |||||||
\(824\) | −27.0108 | + | 14.9094i | −0.940966 | + | 0.519394i | ||||
\(825\) | −4.28607 | − | 4.28607i | −0.149222 | − | 0.149222i | ||||
\(826\) | −29.8687 | − | 11.0887i | −1.03927 | − | 0.385826i | ||||
\(827\) | 17.0815 | + | 17.0815i | 0.593982 | + | 0.593982i | 0.938705 | − | 0.344723i | \(-0.112027\pi\) |
−0.344723 | + | 0.938705i | \(0.612027\pi\) | |||||||
\(828\) | −30.1800 | − | 25.9908i | −1.04883 | − | 0.903243i | ||||
\(829\) | 27.4835i | 0.954541i | 0.878757 | + | 0.477270i | \(0.158374\pi\) | ||||
−0.878757 | + | 0.477270i | \(0.841626\pi\) | |||||||
\(830\) | −1.13223 | + | 3.04980i | −0.0393004 | + | 0.105860i | ||||
\(831\) | −10.8241 | −0.375485 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.0110551 | 0.000383038 | ||||||||
\(834\) | −2.90392 | + | 7.82203i | −0.100555 | + | 0.270855i | ||||
\(835\) | 1.31937i | 0.0456587i | ||||||||
\(836\) | 12.1996 | + | 10.5062i | 0.421932 | + | 0.363365i | ||||
\(837\) | −17.4103 | − | 17.4103i | −0.601788 | − | 0.601788i | ||||
\(838\) | −7.43113 | − | 2.75880i | −0.256704 | − | 0.0953012i | ||||
\(839\) | −28.2374 | − | 28.2374i | −0.974865 | − | 0.974865i | 0.0248272 | − | 0.999692i | \(-0.492096\pi\) |
−0.999692 | + | 0.0248272i | \(0.992096\pi\) | |||||||
\(840\) | 1.30983 | − | 0.723001i | 0.0451935 | − | 0.0249459i | ||||
\(841\) | −11.1876 | −0.385781 | ||||||||
\(842\) | 6.46033 | − | 2.96222i | 0.222638 | − | 0.102085i | ||||
\(843\) | −13.1293 | − | 13.1293i | −0.452196 | − | 0.452196i | ||||
\(844\) | 5.46913 | − | 6.35064i | 0.188255 | − | 0.218598i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −11.6062 | + | 5.32172i | −0.399029 | + | 0.182964i | ||||
\(847\) | −16.6789 | + | 16.6789i | −0.573095 | + | 0.573095i | ||||
\(848\) | −3.52716 | − | 23.5154i | −0.121123 | − | 0.807523i | ||||
\(849\) | − | 17.5872i | − | 0.603590i | ||||||
\(850\) | −3.40540 | + | 9.17283i | −0.116804 | + | 0.314625i | ||||
\(851\) | 3.20064 | − | 3.20064i | 0.109717 | − | 0.109717i | ||||
\(852\) | −1.37449 | − | 18.4298i | −0.0470891 | − | 0.631394i | ||||
\(853\) | 6.78242 | − | 6.78242i | 0.232226 | − | 0.232226i | −0.581395 | − | 0.813621i | \(-0.697493\pi\) |
0.813621 | + | 0.581395i | \(0.197493\pi\) | |||||||
\(854\) | −24.5495 | + | 11.2565i | −0.840066 | + | 0.385191i | ||||
\(855\) | 2.99171 | 0.102314 | ||||||||
\(856\) | −13.4723 | − | 24.4073i | −0.460474 | − | 0.834223i | ||||
\(857\) | 25.7579i | 0.879872i | 0.898029 | + | 0.439936i | \(0.144999\pi\) | ||||
−0.898029 | + | 0.439936i | \(0.855001\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 51.8251i | 1.76825i | 0.467252 | + | 0.884124i | \(0.345244\pi\) | ||||
−0.467252 | + | 0.884124i | \(0.654756\pi\) | |||||||
\(860\) | −0.321595 | − | 4.31210i | −0.0109663 | − | 0.147041i | ||||
\(861\) | 13.0269 | 0.443954 | ||||||||
\(862\) | 2.03812 | + | 4.44495i | 0.0694186 | + | 0.151396i | ||||
\(863\) | −35.1233 | + | 35.1233i | −1.19561 | + | 1.19561i | −0.220144 | + | 0.975467i | \(0.570653\pi\) |
−0.975467 | + | 0.220144i | \(0.929347\pi\) | |||||||
\(864\) | 5.20550 | − | 24.8372i | 0.177095 | − | 0.844980i | ||||
\(865\) | −0.359562 | + | 0.359562i | −0.0122255 | + | 0.0122255i | ||||
\(866\) | 7.25558 | + | 2.69363i | 0.246555 | + | 0.0915332i | ||||
\(867\) | 12.7864i | 0.434250i | ||||||||
\(868\) | −21.9943 | − | 18.9414i | −0.746537 | − | 0.642912i | ||||
\(869\) | 8.68457 | − | 8.68457i | 0.294604 | − | 0.294604i | ||||
\(870\) | −0.497646 | − | 1.08532i | −0.0168718 | − | 0.0367958i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −0.0934525 | − | 0.0269775i | −0.00316470 | − | 0.000913575i | ||||
\(873\) | 24.9177 | + | 24.9177i | 0.843335 | + | 0.843335i | ||||
\(874\) | 28.7715 | + | 62.7481i | 0.973212 | + | 2.12249i | ||||
\(875\) | −6.18828 | −0.209202 | ||||||||
\(876\) | 0.903738 | + | 12.1178i | 0.0305345 | + | 0.409421i | ||||
\(877\) | −26.2620 | − | 26.2620i | −0.886805 | − | 0.886805i | 0.107410 | − | 0.994215i | \(-0.465744\pi\) |
−0.994215 | + | 0.107410i | \(0.965744\pi\) | |||||||
\(878\) | 15.0152 | − | 40.4452i | 0.506740 | − | 1.36496i | ||||
\(879\) | −13.8602 | − | 13.8602i | −0.467493 | − | 0.467493i | ||||
\(880\) | 1.34248 | − | 0.201363i | 0.0452549 | − | 0.00678795i | ||||
\(881\) | 1.99779i | 0.0673074i | 0.999434 | + | 0.0336537i | \(0.0107143\pi\) | ||||
−0.999434 | + | 0.0336537i | \(0.989286\pi\) | |||||||
\(882\) | 0.0238557 | + | 0.00885641i | 0.000803264 | + | 0.000298211i | ||||
\(883\) | −16.1625 | −0.543913 | −0.271956 | − | 0.962310i | \(-0.587671\pi\) | ||||
−0.271956 | + | 0.962310i | \(0.587671\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.70433 | 0.0572906 | ||||||||
\(886\) | 17.1020 | + | 6.34909i | 0.574552 | + | 0.213302i | ||||
\(887\) | − | 17.6060i | − | 0.591150i | −0.955319 | − | 0.295575i | \(-0.904489\pi\) | ||
0.955319 | − | 0.295575i | \(-0.0955113\pi\) | |||||||
\(888\) | 1.19572 | + | 0.345177i | 0.0401259 | + | 0.0115834i | ||||
\(889\) | 9.99232 | + | 9.99232i | 0.335132 | + | 0.335132i | ||||
\(890\) | −0.769492 | + | 2.07271i | −0.0257934 | + | 0.0694774i | ||||
\(891\) | −3.07852 | − | 3.07852i | −0.103134 | − | 0.103134i | ||||
\(892\) | 37.5526 | − | 2.80066i | 1.25735 | − | 0.0937730i | ||||
\(893\) | 22.1291 | 0.740522 | ||||||||
\(894\) | 7.59454 | + | 16.5630i | 0.254000 | + | 0.553950i | ||||
\(895\) | −1.68613 | − | 1.68613i | −0.0563611 | − | 0.0563611i | ||||
\(896\) | 3.94203 | − | 29.6555i | 0.131694 | − | 0.990721i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.81779 | + | 12.6881i | 0.194142 | + | 0.423407i | ||||
\(899\) | −16.3796 | + | 16.3796i | −0.546291 | + | 0.546291i | ||||
\(900\) | −14.6969 | + | 17.0658i | −0.489898 | + | 0.568860i | ||||
\(901\) | − | 8.31797i | − | 0.277112i | ||||||
\(902\) | 11.0808 | + | 4.11375i | 0.368951 | + | 0.136973i | ||||
\(903\) | 14.6021 | − | 14.6021i | 0.485926 | − | 0.485926i | ||||
\(904\) | 11.2750 | − | 6.22358i | 0.375001 | − | 0.206993i | ||||
\(905\) | 2.30516 | − | 2.30516i | 0.0766261 | − | 0.0766261i | ||||
\(906\) | −0.340708 | − | 0.743054i | −0.0113193 | − | 0.0246863i | ||||
\(907\) | 29.4107 | 0.976567 | 0.488283 | − | 0.872685i | \(-0.337623\pi\) | ||||
0.488283 | + | 0.872685i | \(0.337623\pi\) | |||||||
\(908\) | 14.8385 | − | 1.10665i | 0.492433 | − | 0.0367255i | ||||
\(909\) | 20.8944i | 0.693024i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20.5091i | 0.679495i | 0.940517 | + | 0.339748i | \(0.110342\pi\) | ||||
−0.940517 | + | 0.339748i | \(0.889658\pi\) | |||||||
\(912\) | −11.2817 | + | 15.2632i | −0.373574 | + | 0.505416i | ||||
\(913\) | −14.0966 | −0.466531 | ||||||||
\(914\) | −13.3464 | + | 6.11967i | −0.441461 | + | 0.202421i | ||||
\(915\) | 1.02156 | − | 1.02156i | 0.0337718 | − | 0.0337718i | ||||
\(916\) | −8.96158 | + | 0.668352i | −0.296099 | + | 0.0220830i | ||||
\(917\) | −20.9889 | + | 20.9889i | −0.693113 | + | 0.693113i | ||||
\(918\) | 3.08958 | − | 8.32211i | 0.101971 | − | 0.274671i | ||||
\(919\) | − | 48.9751i | − | 1.61554i | −0.589498 | − | 0.807770i | \(-0.700674\pi\) | ||
0.589498 | − | 0.807770i | \(-0.299326\pi\) | |||||||
\(920\) | 5.59201 | + | 1.61428i | 0.184363 | + | 0.0532213i | ||||
\(921\) | −13.8697 | + | 13.8697i | −0.457021 | + | 0.457021i | ||||
\(922\) | 36.9391 | − | 16.9375i | 1.21652 | − | 0.557806i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 4.91240 | + | 4.23053i | 0.161606 | + | 0.139174i | ||||
\(925\) | −1.80986 | − | 1.80986i | −0.0595077 | − | 0.0595077i | ||||
\(926\) | −10.7091 | + | 4.91039i | −0.351923 | + | 0.161365i | ||||
\(927\) | −24.8422 | −0.815923 | ||||||||
\(928\) | −23.3669 | − | 4.89734i | −0.767056 | − | 0.160763i | ||||
\(929\) | 4.84435 | + | 4.84435i | 0.158938 | + | 0.158938i | 0.782096 | − | 0.623158i | \(-0.214151\pi\) |
−0.623158 | + | 0.782096i | \(0.714151\pi\) | |||||||
\(930\) | 1.45564 | + | 0.540405i | 0.0477324 | + | 0.0177206i | ||||
\(931\) | −0.0311855 | − | 0.0311855i | −0.00102206 | − | 0.00102206i | ||||
\(932\) | 17.3848 | − | 20.1869i | 0.569459 | − | 0.661244i | ||||
\(933\) | 7.26384i | 0.237808i | ||||||||
\(934\) | −1.62591 | + | 4.37956i | −0.0532013 | + | 0.143303i | ||||
\(935\) | 0.474867 | 0.0155298 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.1107 | 0.362970 | 0.181485 | − | 0.983394i | \(-0.441910\pi\) | ||||
0.181485 | + | 0.983394i | \(0.441910\pi\) | |||||||
\(938\) | 3.28264 | − | 8.84215i | 0.107182 | − | 0.288706i | ||||
\(939\) | 5.00146i | 0.163217i | ||||||||
\(940\) | 1.21757 | − | 1.41382i | 0.0397128 | − | 0.0461137i | ||||
\(941\) | 20.5970 | + | 20.5970i | 0.671442 | + | 0.671442i | 0.958048 | − | 0.286606i | \(-0.0925272\pi\) |
−0.286606 | + | 0.958048i | \(0.592527\pi\) | |||||||
\(942\) | −6.65380 | − | 2.47022i | −0.216793 | − | 0.0804841i | ||||
\(943\) | 35.8348 | + | 35.8348i | 1.16694 | + | 1.16694i | ||||
\(944\) | 20.2568 | − | 27.4059i | 0.659304 | − | 0.891988i | ||||
\(945\) | 2.79155 | 0.0908091 | ||||||||
\(946\) | 17.0319 | − | 7.80954i | 0.553755 | − | 0.253910i | ||||
\(947\) | 20.7444 | + | 20.7444i | 0.674102 | + | 0.674102i | 0.958659 | − | 0.284557i | \(-0.0918465\pi\) |
−0.284557 | + | 0.958659i | \(0.591846\pi\) | |||||||
\(948\) | 10.9712 | + | 9.44830i | 0.356327 | + | 0.306867i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 35.4820 | − | 16.2694i | 1.15119 | − | 0.527848i | ||||
\(951\) | −14.0295 | + | 14.0295i | −0.454938 | + | 0.454938i | ||||
\(952\) | 2.90250 | − | 10.0545i | 0.0940706 | − | 0.325868i | ||||
\(953\) | − | 13.1218i | − | 0.425057i | −0.977155 | − | 0.212529i | \(-0.931830\pi\) | ||
0.977155 | − | 0.212529i | \(-0.0681699\pi\) | |||||||
\(954\) | 6.66363 | − | 17.9492i | 0.215743 | − | 0.581128i | ||||
\(955\) | 0.644063 | − | 0.644063i | 0.0208414 | − | 0.0208414i | ||||
\(956\) | −16.8288 | + | 1.25509i | −0.544283 | + | 0.0405925i | ||||
\(957\) | 3.65836 | − | 3.65836i | 0.118258 | − | 0.118258i | ||||
\(958\) | 35.7538 | − | 16.3940i | 1.15515 | − | 0.529666i | ||||
\(959\) | −12.7138 | −0.410549 | ||||||||
\(960\) | 0.354431 | + | 1.56059i | 0.0114392 | + | 0.0503677i | ||||
\(961\) | 0.875747i | 0.0282499i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 22.4477i | − | 0.723365i | ||||||
\(964\) | 30.8497 | − | 2.30076i | 0.993601 | − | 0.0741024i | ||||
\(965\) | −1.93544 | −0.0623039 | ||||||||
\(966\) | 11.5854 | + | 25.2667i | 0.372754 | + | 0.812943i | ||||
\(967\) | −13.0476 | + | 13.0476i | −0.419581 | + | 0.419581i | −0.885059 | − | 0.465478i | \(-0.845882\pi\) |
0.465478 | + | 0.885059i | \(0.345882\pi\) | |||||||
\(968\) | −12.1926 | − | 22.0888i | −0.391884 | − | 0.709961i | ||||
\(969\) | −4.69479 | + | 4.69479i | −0.150818 | + | 0.150818i | ||||
\(970\) | −4.82762 | − | 1.79225i | −0.155006 | − | 0.0575457i | ||||
\(971\) | 44.2841i | 1.42115i | 0.703624 | + | 0.710573i | \(0.251564\pi\) | ||||
−0.703624 | + | 0.710573i | \(0.748436\pi\) | |||||||
\(972\) | 20.9137 | − | 24.2845i | 0.670806 | − | 0.778927i | ||||
\(973\) | −12.9775 | + | 12.9775i | −0.416039 | + | 0.416039i | ||||
\(974\) | −6.08146 | − | 13.2631i | −0.194862 | − | 0.424978i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.28511 | − | 28.5686i | −0.137163 | − | 0.914459i | ||||
\(977\) | 0.175234 | + | 0.175234i | 0.00560624 | + | 0.00560624i | 0.709904 | − | 0.704298i | \(-0.248738\pi\) |
−0.704298 | + | 0.709904i | \(0.748738\pi\) | |||||||
\(978\) | −7.88292 | − | 17.1919i | −0.252068 | − | 0.549737i | ||||
\(979\) | −9.58040 | −0.306191 | ||||||||
\(980\) | −0.00370830 | 0.000276564i | −0.000118457 | 8.83450e-6i | ||||||
\(981\) | −0.0553805 | − | 0.0553805i | −0.00176816 | − | 0.00176816i | ||||
\(982\) | −6.70617 | + | 18.0638i | −0.214002 | + | 0.576439i | ||||
\(983\) | −8.44991 | − | 8.44991i | −0.269510 | − | 0.269510i | 0.559393 | − | 0.828903i | \(-0.311034\pi\) |
−0.828903 | + | 0.559393i | \(0.811034\pi\) | |||||||
\(984\) | −3.86466 | + | 13.3875i | −0.123201 | + | 0.426778i | ||||
\(985\) | − | 2.91356i | − | 0.0928336i | ||||||
\(986\) | −7.82945 | − | 2.90667i | −0.249340 | − | 0.0925674i | ||||
\(987\) | 8.91069 | 0.283630 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 80.3360 | 2.55454 | ||||||||
\(990\) | 1.02471 | + | 0.380422i | 0.0325673 | + | 0.0120906i | ||||
\(991\) | 41.8295i | 1.32876i | 0.747396 | + | 0.664379i | \(0.231304\pi\) | ||||
−0.747396 | + | 0.664379i | \(0.768696\pi\) | |||||||
\(992\) | 25.9908 | − | 16.9839i | 0.825209 | − | 0.539241i | ||||
\(993\) | −8.63520 | − | 8.63520i | −0.274030 | − | 0.274030i | ||||
\(994\) | 14.1482 | − | 38.1096i | 0.448752 | − | 1.20876i | ||||
\(995\) | −0.405021 | − | 0.405021i | −0.0128400 | − | 0.0128400i | ||||
\(996\) | −1.23595 | − | 16.5723i | −0.0391627 | − | 0.525112i | ||||
\(997\) | 12.7618 | 0.404169 | 0.202085 | − | 0.979368i | \(-0.435228\pi\) | ||||
0.202085 | + | 0.979368i | \(0.435228\pi\) | |||||||
\(998\) | −9.36028 | − | 20.4139i | −0.296294 | − | 0.646191i | ||||
\(999\) | 1.64200 | + | 1.64200i | 0.0519507 | + | 0.0519507i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))