Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [616,2,Mod(13,616)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(616, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("616.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 616 = 2^{3} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 616.bi (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.91878476451\) |
Analytic rank: | \(0\) |
Dimension: | \(352\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 616.13 |
Dual form | 616.2.bi.c.237.5 |
$q$-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 \(\left(\mathbb{Z}/616\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(309\) | \(353\) | \(463\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41337 | + | 0.0487330i | −0.999406 | + | 0.0344594i | ||||
\(3\) | −1.21258 | + | 0.880988i | −0.700081 | + | 0.508639i | −0.879959 | − | 0.475050i | \(-0.842430\pi\) |
0.179877 | + | 0.983689i | \(0.442430\pi\) | |||||||
\(4\) | 1.99525 | − | 0.137756i | 0.997625 | − | 0.0688779i | ||||
\(5\) | −1.22746 | − | 3.77772i | −0.548935 | − | 1.68945i | −0.711445 | − | 0.702742i | \(-0.751959\pi\) |
0.162509 | − | 0.986707i | \(-0.448041\pi\) | |||||||
\(6\) | 1.67089 | − | 1.30426i | 0.682138 | − | 0.532461i | ||||
\(7\) | 2.64103 | + | 0.157973i | 0.998216 | + | 0.0597082i | ||||
\(8\) | −2.81332 | + | 0.291935i | −0.994659 | + | 0.103215i | ||||
\(9\) | −0.232850 | + | 0.716639i | −0.0776167 | + | 0.238880i | ||||
\(10\) | 1.91895 | + | 5.27952i | 0.606827 | + | 1.66953i | ||||
\(11\) | 1.12813 | + | 3.11887i | 0.340144 | + | 0.940373i | ||||
\(12\) | −2.29803 | + | 1.92483i | −0.663385 | + | 0.555651i | ||||
\(13\) | 1.74853 | + | 0.568132i | 0.484955 | + | 0.157572i | 0.541282 | − | 0.840841i | \(-0.317939\pi\) |
−0.0563271 | + | 0.998412i | \(0.517939\pi\) | |||||||
\(14\) | −3.74046 | − | 0.0945698i | −0.999681 | − | 0.0252748i | ||||
\(15\) | 4.81651 | + | 3.49940i | 1.24362 | + | 0.903542i | ||||
\(16\) | 3.96205 | − | 0.549715i | 0.990512 | − | 0.137429i | ||||
\(17\) | −0.755978 | − | 2.32666i | −0.183352 | − | 0.564298i | 0.816564 | − | 0.577254i | \(-0.195876\pi\) |
−0.999916 | + | 0.0129559i | \(0.995876\pi\) | |||||||
\(18\) | 0.294180 | − | 1.02423i | 0.0693389 | − | 0.241412i | ||||
\(19\) | −2.44132 | − | 3.36019i | −0.560078 | − | 0.770881i | 0.431258 | − | 0.902228i | \(-0.358070\pi\) |
−0.991336 | + | 0.131347i | \(0.958070\pi\) | |||||||
\(20\) | −2.96949 | − | 7.36841i | −0.663997 | − | 1.64763i | ||||
\(21\) | −3.34162 | + | 2.13516i | −0.729202 | + | 0.465931i | ||||
\(22\) | −1.74646 | − | 4.35314i | −0.372347 | − | 0.928094i | ||||
\(23\) | 4.33306 | 0.903506 | 0.451753 | − | 0.892143i | \(-0.350799\pi\) | ||||
0.451753 | + | 0.892143i | \(0.350799\pi\) | |||||||
\(24\) | 3.15417 | − | 2.83250i | 0.643843 | − | 0.578181i | ||||
\(25\) | −8.71946 | + | 6.33506i | −1.74389 | + | 1.26701i | ||||
\(26\) | −2.49901 | − | 0.717772i | −0.490097 | − | 0.140767i | ||||
\(27\) | −1.73849 | − | 5.35052i | −0.334573 | − | 1.02971i | ||||
\(28\) | 5.29128 | − | 0.0486215i | 0.999958 | − | 0.00918860i | ||||
\(29\) | −4.26464 | − | 3.09844i | −0.791923 | − | 0.575366i | 0.116610 | − | 0.993178i | \(-0.462797\pi\) |
−0.908534 | + | 0.417812i | \(0.862797\pi\) | |||||||
\(30\) | −6.97807 | − | 4.71124i | −1.27402 | − | 0.860151i | ||||
\(31\) | 6.19340 | + | 2.01236i | 1.11237 | + | 0.361430i | 0.806850 | − | 0.590756i | \(-0.201170\pi\) |
0.305518 | + | 0.952186i | \(0.401170\pi\) | |||||||
\(32\) | −5.57306 | + | 0.970035i | −0.985188 | + | 0.171480i | ||||
\(33\) | −4.11563 | − | 2.78799i | −0.716439 | − | 0.485327i | ||||
\(34\) | 1.18187 | + | 3.25160i | 0.202688 | + | 0.557645i | ||||
\(35\) | −2.64497 | − | 10.1710i | −0.447082 | − | 1.71921i | ||||
\(36\) | −0.365873 | + | 1.46195i | −0.0609788 | + | 0.243658i | ||||
\(37\) | 3.54074 | − | 4.87341i | 0.582094 | − | 0.801184i | −0.411829 | − | 0.911261i | \(-0.635110\pi\) |
0.993923 | + | 0.110077i | \(0.0351098\pi\) | |||||||
\(38\) | 3.61425 | + | 4.63024i | 0.586310 | + | 0.751123i | ||||
\(39\) | −2.62075 | + | 0.851532i | −0.419655 | + | 0.136354i | ||||
\(40\) | 4.55608 | + | 10.2696i | 0.720379 | + | 1.62377i | ||||
\(41\) | 5.05152 | − | 3.67014i | 0.788915 | − | 0.573180i | −0.118726 | − | 0.992927i | \(-0.537881\pi\) |
0.907641 | + | 0.419747i | \(0.137881\pi\) | |||||||
\(42\) | 4.61891 | − | 3.18063i | 0.712713 | − | 0.490782i | ||||
\(43\) | 7.64254 | 1.16548 | 0.582738 | − | 0.812660i | \(-0.301981\pi\) | ||||
0.582738 | + | 0.812660i | \(0.301981\pi\) | |||||||
\(44\) | 2.68055 | + | 6.06751i | 0.404107 | + | 0.914712i | ||||
\(45\) | 2.99308 | 0.446181 | ||||||||
\(46\) | −6.12424 | + | 0.211163i | −0.902969 | + | 0.0311343i | ||||
\(47\) | −4.81017 | − | 6.62063i | −0.701636 | − | 0.965718i | −0.999937 | − | 0.0112467i | \(-0.996420\pi\) |
0.298301 | − | 0.954472i | \(-0.403580\pi\) | |||||||
\(48\) | −4.31999 | + | 4.15709i | −0.623537 | + | 0.600024i | ||||
\(49\) | 6.95009 | + | 0.834424i | 0.992870 | + | 0.119203i | ||||
\(50\) | 12.0151 | − | 9.37873i | 1.69920 | − | 1.32635i | ||||
\(51\) | 2.96644 | + | 2.15525i | 0.415385 | + | 0.301795i | ||||
\(52\) | 3.56702 | + | 0.892696i | 0.494657 | + | 0.123795i | ||||
\(53\) | 6.00777 | + | 1.95204i | 0.825231 | + | 0.268134i | 0.691035 | − | 0.722821i | \(-0.257155\pi\) |
0.134196 | + | 0.990955i | \(0.457155\pi\) | |||||||
\(54\) | 2.71788 | + | 7.47757i | 0.369857 | + | 1.01757i | ||||
\(55\) | 10.3975 | − | 8.09004i | 1.40200 | − | 1.09086i | ||||
\(56\) | −7.47619 | + | 0.326580i | −0.999047 | + | 0.0436411i | ||||
\(57\) | 5.92058 | + | 1.92371i | 0.784200 | + | 0.254802i | ||||
\(58\) | 6.17852 | + | 4.17143i | 0.811280 | + | 0.547735i | ||||
\(59\) | −0.130351 | − | 0.0947053i | −0.0169702 | − | 0.0123296i | 0.579268 | − | 0.815137i | \(-0.303339\pi\) |
−0.596238 | + | 0.802808i | \(0.703339\pi\) | |||||||
\(60\) | 10.0922 | + | 6.31868i | 1.30290 | + | 0.815738i | ||||
\(61\) | −3.03197 | + | 0.985146i | −0.388204 | + | 0.126135i | −0.496615 | − | 0.867971i | \(-0.665424\pi\) |
0.108411 | + | 0.994106i | \(0.465424\pi\) | |||||||
\(62\) | −8.85166 | − | 2.54239i | −1.12416 | − | 0.322884i | ||||
\(63\) | −0.728174 | + | 1.85588i | −0.0917413 | + | 0.233819i | ||||
\(64\) | 7.82955 | − | 1.64261i | 0.978693 | − | 0.205327i | ||||
\(65\) | − | 7.30283i | − | 0.905804i | ||||||
\(66\) | 5.95279 | + | 3.73991i | 0.732738 | + | 0.460351i | ||||
\(67\) | − | 7.13660i | − | 0.871874i | −0.899977 | − | 0.435937i | \(-0.856417\pi\) | ||
0.899977 | − | 0.435937i | \(-0.143583\pi\) | |||||||
\(68\) | −1.82888 | − | 4.53813i | −0.221784 | − | 0.550329i | ||||
\(69\) | −5.25417 | + | 3.81738i | −0.632527 | + | 0.459558i | ||||
\(70\) | 4.23400 | + | 14.2465i | 0.506059 | + | 1.70278i | ||||
\(71\) | −3.77254 | − | 11.6107i | −0.447719 | − | 1.37794i | −0.879475 | − | 0.475946i | \(-0.842106\pi\) |
0.431756 | − | 0.901990i | \(-0.357894\pi\) | |||||||
\(72\) | 0.445870 | − | 2.08411i | 0.0525463 | − | 0.245615i | ||||
\(73\) | −9.15891 | − | 6.65433i | −1.07197 | − | 0.778831i | −0.0957037 | − | 0.995410i | \(-0.530510\pi\) |
−0.976265 | + | 0.216579i | \(0.930510\pi\) | |||||||
\(74\) | −4.76689 | + | 7.06050i | −0.554140 | + | 0.820767i | ||||
\(75\) | 4.99190 | − | 15.3635i | 0.576415 | − | 1.77402i | ||||
\(76\) | −5.33394 | − | 6.36812i | −0.611845 | − | 0.730474i | ||||
\(77\) | 2.48673 | + | 8.41523i | 0.283389 | + | 0.959005i | ||||
\(78\) | 3.66259 | − | 1.33125i | 0.414707 | − | 0.150734i | ||||
\(79\) | 4.76686 | + | 1.54885i | 0.536314 | + | 0.174259i | 0.564636 | − | 0.825340i | \(-0.309016\pi\) |
−0.0283223 | + | 0.999599i | \(0.509016\pi\) | |||||||
\(80\) | −6.93991 | − | 14.2928i | −0.775906 | − | 1.59798i | ||||
\(81\) | 4.99297 | + | 3.62761i | 0.554775 | + | 0.403068i | ||||
\(82\) | −6.96083 | + | 5.43346i | −0.768695 | + | 0.600025i | ||||
\(83\) | 3.55839 | − | 1.15619i | 0.390584 | − | 0.126908i | −0.107140 | − | 0.994244i | \(-0.534169\pi\) |
0.497724 | + | 0.867335i | \(0.334169\pi\) | |||||||
\(84\) | −6.37324 | + | 4.72051i | −0.695378 | + | 0.515050i | ||||
\(85\) | −7.86156 | + | 5.71175i | −0.852705 | + | 0.619527i | ||||
\(86\) | −10.8018 | + | 0.372444i | −1.16478 | + | 0.0401616i | ||||
\(87\) | 7.90089 | 0.847064 | ||||||||
\(88\) | −4.08430 | − | 8.44503i | −0.435388 | − | 0.900243i | ||||
\(89\) | 6.31135i | 0.669001i | 0.942395 | + | 0.334501i | \(0.108568\pi\) | ||||
−0.942395 | + | 0.334501i | \(0.891432\pi\) | |||||||
\(90\) | −4.23033 | + | 0.145862i | −0.445916 | + | 0.0153752i | ||||
\(91\) | 4.52818 | + | 1.77668i | 0.474682 | + | 0.186246i | ||||
\(92\) | 8.64554 | − | 0.596905i | 0.901360 | − | 0.0622316i | ||||
\(93\) | −9.28284 | + | 3.01618i | −0.962586 | + | 0.312763i | ||||
\(94\) | 7.12121 | + | 9.12301i | 0.734497 | + | 0.940967i | ||||
\(95\) | −9.69726 | + | 13.3471i | −0.994918 | + | 1.36939i | ||||
\(96\) | 5.90318 | − | 6.08604i | 0.602490 | − | 0.621154i | ||||
\(97\) | 0.490635 | + | 0.159417i | 0.0498165 | + | 0.0161863i | 0.333819 | − | 0.942637i | \(-0.391662\pi\) |
−0.284003 | + | 0.958823i | \(0.591662\pi\) | |||||||
\(98\) | −9.86374 | − | 0.840654i | −0.996388 | − | 0.0849189i | ||||
\(99\) | −2.49778 | + | 0.0822345i | −0.251037 | + | 0.00826487i | ||||
\(100\) | −16.5248 | + | 13.8412i | −1.65248 | + | 1.38412i | ||||
\(101\) | −3.82373 | − | 1.24240i | −0.380475 | − | 0.123624i | 0.112534 | − | 0.993648i | \(-0.464103\pi\) |
−0.493009 | + | 0.870024i | \(0.664103\pi\) | |||||||
\(102\) | −4.29772 | − | 2.90161i | −0.425538 | − | 0.287302i | ||||
\(103\) | 6.14760 | − | 8.46144i | 0.605741 | − | 0.833731i | −0.390478 | − | 0.920612i | \(-0.627690\pi\) |
0.996219 | + | 0.0868817i | \(0.0276902\pi\) | |||||||
\(104\) | −5.08504 | − | 1.08788i | −0.498629 | − | 0.106675i | ||||
\(105\) | 12.1678 | + | 10.0029i | 1.18745 | + | 0.976184i | ||||
\(106\) | −8.58636 | − | 2.46619i | −0.833981 | − | 0.239538i | ||||
\(107\) | 8.15776 | − | 5.92696i | 0.788641 | − | 0.572981i | −0.118919 | − | 0.992904i | \(-0.537943\pi\) |
0.907560 | + | 0.419923i | \(0.137943\pi\) | |||||||
\(108\) | −4.20579 | − | 10.4361i | −0.404702 | − | 1.00422i | ||||
\(109\) | −6.38273 | −0.611355 | −0.305677 | − | 0.952135i | \(-0.598883\pi\) | ||||
−0.305677 | + | 0.952135i | \(0.598883\pi\) | |||||||
\(110\) | −14.3013 | + | 11.9409i | −1.36357 | + | 1.13852i | ||||
\(111\) | 9.02874i | 0.856970i | ||||||||
\(112\) | 10.5507 | − | 0.825917i | 0.996950 | − | 0.0780418i | ||||
\(113\) | 12.7320 | − | 9.25034i | 1.19773 | − | 0.870199i | 0.203667 | − | 0.979040i | \(-0.434714\pi\) |
0.994059 | + | 0.108842i | \(0.0347141\pi\) | |||||||
\(114\) | −8.46174 | − | 2.43040i | −0.792515 | − | 0.227628i | ||||
\(115\) | −5.31865 | − | 16.3691i | −0.495966 | − | 1.52643i | ||||
\(116\) | −8.93585 | − | 5.59469i | −0.829673 | − | 0.519454i | ||||
\(117\) | −0.814291 | + | 1.12078i | −0.0752812 | + | 0.103616i | ||||
\(118\) | 0.188849 | + | 0.127502i | 0.0173850 | + | 0.0117375i | ||||
\(119\) | −1.62901 | − | 6.26421i | −0.149331 | − | 0.574239i | ||||
\(120\) | −14.5720 | − | 8.43883i | −1.33024 | − | 0.770357i | ||||
\(121\) | −8.45464 | + | 7.03698i | −0.768604 | + | 0.639725i | ||||
\(122\) | 4.23730 | − | 1.54014i | 0.383627 | − | 0.139437i | ||||
\(123\) | −2.89200 | + | 8.90066i | −0.260763 | + | 0.802545i | ||||
\(124\) | 12.6346 | + | 3.16198i | 1.13462 | + | 0.283954i | ||||
\(125\) | 18.5672 | + | 13.4899i | 1.66070 | + | 1.20657i | ||||
\(126\) | 0.938739 | − | 2.65854i | 0.0836295 | − | 0.236841i | ||||
\(127\) | 7.50533 | − | 2.43863i | 0.665990 | − | 0.216393i | 0.0435388 | − | 0.999052i | \(-0.486137\pi\) |
0.622451 | + | 0.782658i | \(0.286137\pi\) | |||||||
\(128\) | −10.9860 | + | 2.70318i | −0.971037 | + | 0.238930i | ||||
\(129\) | −9.26716 | + | 6.73299i | −0.815928 | + | 0.592806i | ||||
\(130\) | 0.355888 | + | 10.3216i | 0.0312135 | + | 0.905266i | ||||
\(131\) | 9.63747i | 0.842030i | 0.907054 | + | 0.421015i | \(0.138326\pi\) | ||||
−0.907054 | + | 0.421015i | \(0.861674\pi\) | |||||||
\(132\) | −8.59577 | − | 4.99579i | −0.748166 | − | 0.434828i | ||||
\(133\) | −5.91679 | − | 9.26004i | −0.513051 | − | 0.802947i | ||||
\(134\) | 0.347788 | + | 10.0867i | 0.0300443 | + | 0.871356i | ||||
\(135\) | −18.0789 | + | 13.1351i | −1.55598 | + | 1.13049i | ||||
\(136\) | 2.80604 | + | 6.32495i | 0.240616 | + | 0.542360i | ||||
\(137\) | −6.37533 | − | 19.6212i | −0.544681 | − | 1.67636i | −0.721747 | − | 0.692157i | \(-0.756661\pi\) |
0.177066 | − | 0.984199i | \(-0.443339\pi\) | |||||||
\(138\) | 7.24007 | − | 5.65143i | 0.616316 | − | 0.481082i | ||||
\(139\) | −9.08070 | + | 12.4985i | −0.770215 | + | 1.06011i | 0.226080 | + | 0.974109i | \(0.427409\pi\) |
−0.996295 | + | 0.0860010i | \(0.972591\pi\) | |||||||
\(140\) | −6.67849 | − | 19.9293i | −0.564436 | − | 1.68433i | ||||
\(141\) | 11.6654 | + | 3.79032i | 0.982404 | + | 0.319202i | ||||
\(142\) | 5.89784 | + | 16.2264i | 0.494936 | + | 1.36169i | ||||
\(143\) | 0.200644 | + | 6.09436i | 0.0167787 | + | 0.509636i | ||||
\(144\) | −0.528616 | + | 2.96736i | −0.0440513 | + | 0.247280i | ||||
\(145\) | −6.47039 | + | 19.9138i | −0.537337 | + | 1.65375i | ||||
\(146\) | 13.2692 | + | 8.95872i | 1.09817 | + | 0.741429i | ||||
\(147\) | −9.16263 | + | 5.11114i | −0.755721 | + | 0.421560i | ||||
\(148\) | 6.39332 | − | 10.2114i | 0.525528 | − | 0.839375i | ||||
\(149\) | 5.90475 | + | 18.1730i | 0.483736 | + | 1.48879i | 0.833803 | + | 0.552062i | \(0.186159\pi\) |
−0.350067 | + | 0.936725i | \(0.613841\pi\) | |||||||
\(150\) | −6.30671 | + | 21.9576i | −0.514940 | + | 1.79283i | ||||
\(151\) | −8.39731 | − | 11.5579i | −0.683363 | − | 0.940569i | 0.316605 | − | 0.948558i | \(-0.397457\pi\) |
−0.999968 | + | 0.00798848i | \(0.997457\pi\) | |||||||
\(152\) | 7.84918 | + | 8.74059i | 0.636653 | + | 0.708956i | ||||
\(153\) | 1.84341 | 0.149031 | ||||||||
\(154\) | −3.92478 | − | 11.7727i | −0.316268 | − | 0.948670i | ||||
\(155\) | − | 25.8671i | − | 2.07769i | ||||||
\(156\) | −5.11174 | + | 2.06004i | −0.409267 | + | 0.164935i | ||||
\(157\) | 6.73048 | − | 4.88998i | 0.537151 | − | 0.390263i | −0.285875 | − | 0.958267i | \(-0.592284\pi\) |
0.823026 | + | 0.568004i | \(0.192284\pi\) | |||||||
\(158\) | −6.81284 | − | 1.95680i | −0.542000 | − | 0.155674i | ||||
\(159\) | −9.00461 | + | 2.92578i | −0.714112 | + | 0.232029i | ||||
\(160\) | 10.5052 | + | 19.8628i | 0.830510 | + | 1.57029i | ||||
\(161\) | 11.4437 | + | 0.684507i | 0.901894 | + | 0.0539467i | ||||
\(162\) | −7.23372 | − | 4.88384i | −0.568335 | − | 0.383711i | ||||
\(163\) | −1.95299 | − | 0.634564i | −0.152970 | − | 0.0497029i | 0.231531 | − | 0.972827i | \(-0.425626\pi\) |
−0.384501 | + | 0.923125i | \(0.625626\pi\) | |||||||
\(164\) | 9.57346 | − | 8.01873i | 0.747562 | − | 0.626158i | ||||
\(165\) | −5.48051 | + | 18.9698i | −0.426657 | + | 1.47680i | ||||
\(166\) | −4.97299 | + | 1.80754i | −0.385979 | + | 0.140292i | ||||
\(167\) | −1.35211 | + | 4.16136i | −0.104629 | + | 0.322016i | −0.989643 | − | 0.143549i | \(-0.954149\pi\) |
0.885014 | + | 0.465564i | \(0.154149\pi\) | |||||||
\(168\) | 8.77773 | − | 6.98243i | 0.677217 | − | 0.538707i | ||||
\(169\) | −7.78263 | − | 5.65441i | −0.598664 | − | 0.434955i | ||||
\(170\) | 10.8330 | − | 8.45596i | 0.830850 | − | 0.648543i | ||||
\(171\) | 2.97651 | − | 0.967126i | 0.227619 | − | 0.0739579i | ||||
\(172\) | 15.2488 | − | 1.05280i | 1.16271 | − | 0.0802756i | ||||
\(173\) | 11.2748 | + | 15.5184i | 0.857208 | + | 1.17985i | 0.982228 | + | 0.187691i | \(0.0601004\pi\) |
−0.125020 | + | 0.992154i | \(0.539900\pi\) | |||||||
\(174\) | −11.1669 | + | 0.385034i | −0.846561 | + | 0.0291893i | ||||
\(175\) | −24.0291 | + | 15.3536i | −1.81643 | + | 1.16063i | ||||
\(176\) | 6.18419 | + | 11.7369i | 0.466151 | + | 0.884705i | ||||
\(177\) | 0.241494 | 0.0181518 | ||||||||
\(178\) | −0.307571 | − | 8.92029i | −0.0230534 | − | 0.668604i | ||||
\(179\) | 13.4845 | + | 18.5599i | 1.00788 | + | 1.38723i | 0.920363 | + | 0.391066i | \(0.127893\pi\) |
0.0875177 | + | 0.996163i | \(0.472107\pi\) | |||||||
\(180\) | 5.97193 | − | 0.412314i | 0.445122 | − | 0.0307320i | ||||
\(181\) | 1.34875 | + | 4.15103i | 0.100252 | + | 0.308544i | 0.988587 | − | 0.150653i | \(-0.0481375\pi\) |
−0.888335 | + | 0.459196i | \(0.848138\pi\) | |||||||
\(182\) | −6.48659 | − | 2.29044i | −0.480818 | − | 0.169778i | ||||
\(183\) | 2.80859 | − | 3.86569i | 0.207617 | − | 0.285760i | ||||
\(184\) | −12.1903 | + | 1.26497i | −0.898680 | + | 0.0932550i | ||||
\(185\) | −22.7565 | − | 7.39404i | −1.67309 | − | 0.543621i | ||||
\(186\) | 12.9731 | − | 4.71537i | 0.951236 | − | 0.345747i | ||||
\(187\) | 6.40370 | − | 4.98257i | 0.468285 | − | 0.364362i | ||||
\(188\) | −10.5095 | − | 12.5472i | −0.766486 | − | 0.915098i | ||||
\(189\) | −3.74617 | − | 14.4055i | −0.272494 | − | 1.04785i | ||||
\(190\) | 13.0554 | − | 19.3371i | 0.947139 | − | 1.40286i | ||||
\(191\) | 3.03759 | + | 2.20693i | 0.219792 | + | 0.159688i | 0.692233 | − | 0.721674i | \(-0.256627\pi\) |
−0.472441 | + | 0.881362i | \(0.656627\pi\) | |||||||
\(192\) | −8.04680 | + | 8.88953i | −0.580728 | + | 0.641547i | ||||
\(193\) | −10.9365 | + | 3.55347i | −0.787223 | + | 0.255784i | −0.674921 | − | 0.737890i | \(-0.735822\pi\) |
−0.112302 | + | 0.993674i | \(0.535822\pi\) | |||||||
\(194\) | −0.701220 | − | 0.201406i | −0.0503446 | − | 0.0144601i | ||||
\(195\) | 6.43370 | + | 8.85523i | 0.460727 | + | 0.634136i | ||||
\(196\) | 13.9821 | + | 0.707469i | 0.998722 | + | 0.0505335i | ||||
\(197\) | −13.1303 | −0.935495 | −0.467747 | − | 0.883862i | \(-0.654934\pi\) | ||||
−0.467747 | + | 0.883862i | \(0.654934\pi\) | |||||||
\(198\) | 3.52630 | − | 0.237953i | 0.250603 | − | 0.0169105i | ||||
\(199\) | 20.7768i | 1.47283i | 0.676530 | + | 0.736415i | \(0.263483\pi\) | ||||
−0.676530 | + | 0.736415i | \(0.736517\pi\) | |||||||
\(200\) | 22.6812 | − | 20.3681i | 1.60380 | − | 1.44024i | ||||
\(201\) | 6.28726 | + | 8.65367i | 0.443469 | + | 0.610383i | ||||
\(202\) | 5.46490 | + | 1.56964i | 0.384509 | + | 0.110439i | ||||
\(203\) | −10.7736 | − | 8.85678i | −0.756156 | − | 0.621624i | ||||
\(204\) | 6.21570 | + | 3.89161i | 0.435186 | + | 0.272467i | ||||
\(205\) | −20.0653 | − | 14.5783i | −1.40142 | − | 1.01819i | ||||
\(206\) | −8.27650 | + | 12.2588i | −0.576651 | + | 0.854109i | ||||
\(207\) | −1.00895 | + | 3.10524i | −0.0701271 | + | 0.215829i | ||||
\(208\) | 7.24007 | + | 1.28977i | 0.502009 | + | 0.0894297i | ||||
\(209\) | 7.72586 | − | 11.4049i | 0.534409 | − | 0.788893i | ||||
\(210\) | −17.6851 | − | 13.5449i | −1.22038 | − | 0.934685i | ||||
\(211\) | 1.60049 | − | 4.92579i | 0.110182 | − | 0.339105i | −0.880730 | − | 0.473619i | \(-0.842947\pi\) |
0.990912 | + | 0.134514i | \(0.0429473\pi\) | |||||||
\(212\) | 12.2559 | + | 3.06721i | 0.841740 | + | 0.210657i | ||||
\(213\) | 14.8034 | + | 10.7553i | 1.01431 | + | 0.736940i | ||||
\(214\) | −11.2411 | + | 8.77457i | −0.768428 | + | 0.599817i | ||||
\(215\) | −9.38089 | − | 28.8714i | −0.639771 | − | 1.96901i | ||||
\(216\) | 6.45294 | + | 14.5452i | 0.439067 | + | 0.989676i | ||||
\(217\) | 16.0391 | + | 6.29309i | 1.08880 | + | 0.427203i | ||||
\(218\) | 9.02118 | − | 0.311050i | 0.610992 | − | 0.0210669i | ||||
\(219\) | 16.9683 | 1.14661 | ||||||||
\(220\) | 19.6311 | − | 17.5740i | 1.32353 | − | 1.18484i | ||||
\(221\) | − | 4.49774i | − | 0.302551i | ||||||
\(222\) | −0.439997 | − | 12.7610i | −0.0295307 | − | 0.856461i | ||||
\(223\) | 3.28797 | + | 4.52551i | 0.220179 | + | 0.303050i | 0.904790 | − | 0.425858i | \(-0.140028\pi\) |
−0.684611 | + | 0.728909i | \(0.740028\pi\) | |||||||
\(224\) | −14.8719 | + | 1.68150i | −0.993669 | + | 0.112350i | ||||
\(225\) | −2.50962 | − | 7.72382i | −0.167308 | − | 0.514921i | ||||
\(226\) | −17.5443 | + | 13.6947i | −1.16703 | + | 0.910955i | ||||
\(227\) | −12.5146 | + | 17.2248i | −0.830621 | + | 1.14325i | 0.157186 | + | 0.987569i | \(0.449758\pi\) |
−0.987807 | + | 0.155682i | \(0.950242\pi\) | |||||||
\(228\) | 12.0780 | + | 3.02270i | 0.799888 | + | 0.200183i | ||||
\(229\) | −2.55524 | + | 7.86421i | −0.168855 | + | 0.519682i | −0.999300 | − | 0.0374190i | \(-0.988086\pi\) |
0.830445 | + | 0.557101i | \(0.188086\pi\) | |||||||
\(230\) | 8.31495 | + | 22.8765i | 0.548271 | + | 1.50843i | ||||
\(231\) | −10.4291 | − | 8.01333i | −0.686183 | − | 0.527239i | ||||
\(232\) | 12.9023 | + | 7.47191i | 0.847080 | + | 0.490555i | ||||
\(233\) | −15.2958 | − | 4.96992i | −1.00206 | − | 0.325590i | −0.238374 | − | 0.971173i | \(-0.576614\pi\) |
−0.763690 | + | 0.645583i | \(0.776614\pi\) | |||||||
\(234\) | 1.09628 | − | 1.62376i | 0.0716660 | − | 0.106148i | ||||
\(235\) | −19.1066 | + | 26.2980i | −1.24638 | + | 1.71549i | ||||
\(236\) | −0.273128 | − | 0.171004i | −0.0177791 | − | 0.0111314i | ||||
\(237\) | −7.14470 | + | 2.32145i | −0.464098 | + | 0.150795i | ||||
\(238\) | 2.60768 | + | 8.77428i | 0.169031 | + | 0.568752i | ||||
\(239\) | 17.4600 | + | 24.0317i | 1.12940 | + | 1.55448i | 0.789213 | + | 0.614119i | \(0.210489\pi\) |
0.340182 | + | 0.940360i | \(0.389511\pi\) | |||||||
\(240\) | 21.0069 | + | 11.2171i | 1.35599 | + | 0.724060i | ||||
\(241\) | −9.43387 | −0.607689 | −0.303844 | − | 0.952722i | \(-0.598270\pi\) | ||||
−0.303844 | + | 0.952722i | \(0.598270\pi\) | |||||||
\(242\) | 11.6066 | − | 10.3579i | 0.746103 | − | 0.665831i | ||||
\(243\) | 7.62738 | 0.489297 | ||||||||
\(244\) | −5.91383 | + | 2.38329i | −0.378594 | + | 0.152574i | ||||
\(245\) | −5.37871 | − | 27.2797i | −0.343633 | − | 1.74284i | ||||
\(246\) | 3.65372 | − | 12.7209i | 0.232953 | − | 0.811055i | ||||
\(247\) | −2.35970 | − | 7.26240i | −0.150144 | − | 0.462095i | ||||
\(248\) | −18.0115 | − | 3.85334i | −1.14373 | − | 0.244687i | ||||
\(249\) | −3.29623 | + | 4.53687i | −0.208890 | + | 0.287512i | ||||
\(250\) | −26.8998 | − | 18.1614i | −1.70129 | − | 1.14863i | ||||
\(251\) | 3.85857 | − | 11.8755i | 0.243551 | − | 0.749573i | −0.752320 | − | 0.658797i | \(-0.771065\pi\) |
0.995871 | − | 0.0907753i | \(-0.0289345\pi\) | |||||||
\(252\) | −1.19723 | + | 3.80326i | −0.0754184 | + | 0.239583i | ||||
\(253\) | 4.88826 | + | 13.5142i | 0.307322 | + | 0.849633i | ||||
\(254\) | −10.4890 | + | 3.81245i | −0.658138 | + | 0.239214i | ||||
\(255\) | 4.50075 | − | 13.8519i | 0.281848 | − | 0.867438i | ||||
\(256\) | 15.3956 | − | 4.35599i | 0.962227 | − | 0.272249i | ||||
\(257\) | 12.6081 | − | 17.3536i | 0.786474 | − | 1.08249i | −0.208065 | − | 0.978115i | \(-0.566716\pi\) |
0.994538 | − | 0.104373i | \(-0.0332836\pi\) | |||||||
\(258\) | 12.7698 | − | 9.96784i | 0.795016 | − | 0.620571i | ||||
\(259\) | 10.1211 | − | 12.3115i | 0.628893 | − | 0.764999i | ||||
\(260\) | −1.00601 | − | 14.5710i | −0.0623899 | − | 0.903653i | ||||
\(261\) | 3.21348 | − | 2.33473i | 0.198910 | − | 0.144516i | ||||
\(262\) | −0.469663 | − | 13.6213i | −0.0290159 | − | 0.841530i | ||||
\(263\) | − | 0.00919536i | − | 0.000567010i | −1.00000 | 0.000283505i | \(-0.999910\pi\) | |||
1.00000 | 0.000283505i | \(-9.02425e-5\pi\) | ||||||||
\(264\) | 12.3925 | + | 6.64202i | 0.762705 | + | 0.408788i | ||||
\(265\) | − | 25.0918i | − | 1.54137i | ||||||
\(266\) | 8.81391 | + | 12.7996i | 0.540415 | + | 0.784791i | ||||
\(267\) | −5.56022 | − | 7.65299i | −0.340280 | − | 0.468355i | ||||
\(268\) | −0.983108 | − | 14.2393i | −0.0600529 | − | 0.869803i | ||||
\(269\) | −7.39795 | − | 22.7685i | −0.451061 | − | 1.38822i | −0.875698 | − | 0.482859i | \(-0.839598\pi\) |
0.424637 | − | 0.905364i | \(-0.360402\pi\) | |||||||
\(270\) | 24.9121 | − | 19.4458i | 1.51610 | − | 1.18343i | ||||
\(271\) | 18.1023 | + | 13.1521i | 1.09963 | + | 0.798931i | 0.981000 | − | 0.194007i | \(-0.0621485\pi\) |
0.118634 | + | 0.992938i | \(0.462149\pi\) | |||||||
\(272\) | −4.27422 | − | 8.80277i | −0.259163 | − | 0.533746i | ||||
\(273\) | −7.05599 | + | 1.83491i | −0.427048 | + | 0.111054i | ||||
\(274\) | 9.96692 | + | 27.4215i | 0.602124 | + | 1.65659i | ||||
\(275\) | −29.5949 | − | 20.0480i | −1.78464 | − | 1.20894i | ||||
\(276\) | −9.95751 | + | 8.34041i | −0.599372 | + | 0.502034i | ||||
\(277\) | 3.85714 | − | 11.8711i | 0.231753 | − | 0.713263i | −0.765782 | − | 0.643100i | \(-0.777648\pi\) |
0.997536 | − | 0.0701629i | \(-0.0223519\pi\) | |||||||
\(278\) | 12.2253 | − | 18.1076i | 0.733227 | − | 1.08602i | ||||
\(279\) | −2.88427 | + | 3.96986i | −0.172677 | + | 0.237669i | ||||
\(280\) | 10.4104 | + | 27.8421i | 0.622142 | + | 1.66388i | ||||
\(281\) | −28.9929 | + | 9.42036i | −1.72957 | + | 0.561971i | −0.993387 | − | 0.114811i | \(-0.963374\pi\) |
−0.736183 | + | 0.676783i | \(0.763374\pi\) | |||||||
\(282\) | −16.6723 | − | 4.78865i | −0.992820 | − | 0.285160i | ||||
\(283\) | 3.52902 | + | 4.85728i | 0.209778 | + | 0.288735i | 0.900921 | − | 0.433983i | \(-0.142892\pi\) |
−0.691143 | + | 0.722718i | \(0.742892\pi\) | |||||||
\(284\) | −9.12661 | − | 22.6466i | −0.541565 | − | 1.34383i | ||||
\(285\) | − | 24.7276i | − | 1.46474i | ||||||
\(286\) | −0.580582 | − | 8.60383i | −0.0343305 | − | 0.508755i | ||||
\(287\) | 13.9210 | − | 8.89496i | 0.821731 | − | 0.525053i | ||||
\(288\) | 0.602523 | − | 4.21974i | 0.0355040 | − | 0.248651i | ||||
\(289\) | 8.91143 | − | 6.47454i | 0.524202 | − | 0.380855i | ||||
\(290\) | 8.17462 | − | 28.4610i | 0.480030 | − | 1.67129i | ||||
\(291\) | −0.735377 | + | 0.238939i | −0.0431086 | + | 0.0140068i | ||||
\(292\) | −19.1910 | − | 12.0154i | −1.12307 | − | 0.703146i | ||||
\(293\) | −2.57003 | + | 3.53734i | −0.150143 | + | 0.206654i | −0.877463 | − | 0.479645i | \(-0.840766\pi\) |
0.727320 | + | 0.686298i | \(0.240766\pi\) | |||||||
\(294\) | 12.7011 | − | 7.67048i | 0.740746 | − | 0.447351i | ||||
\(295\) | −0.197771 | + | 0.608675i | −0.0115146 | + | 0.0354384i | ||||
\(296\) | −8.53852 | + | 14.7441i | −0.496292 | + | 0.856986i | ||||
\(297\) | 14.7263 | − | 11.4582i | 0.854508 | − | 0.664873i | ||||
\(298\) | −9.23125 | − | 25.3974i | −0.534752 | − | 1.47123i | ||||
\(299\) | 7.57649 | + | 2.46175i | 0.438160 | + | 0.142367i | ||||
\(300\) | 7.84367 | − | 31.3416i | 0.452855 | − | 1.80951i | ||||
\(301\) | 20.1842 | + | 1.20732i | 1.16340 | + | 0.0695885i | ||||
\(302\) | 12.4318 | + | 15.9264i | 0.715369 | + | 0.916462i | ||||
\(303\) | 5.73111 | − | 1.86215i | 0.329243 | − | 0.106978i | ||||
\(304\) | −11.5198 | − | 11.9712i | −0.660705 | − | 0.686596i | ||||
\(305\) | 7.44322 | + | 10.2447i | 0.426198 | + | 0.586611i | ||||
\(306\) | −2.60542 | + | 0.0898347i | −0.148942 | + | 0.00513551i | ||||
\(307\) | − | 5.99703i | − | 0.342268i | −0.985248 | − | 0.171134i | \(-0.945257\pi\) | ||
0.985248 | − | 0.171134i | \(-0.0547432\pi\) | |||||||
\(308\) | 6.12090 | + | 16.4479i | 0.348771 | + | 0.937208i | ||||
\(309\) | 15.6761i | 0.891782i | ||||||||
\(310\) | 1.26058 | + | 36.5598i | 0.0715961 | + | 2.07646i | ||||
\(311\) | 12.6182 | + | 17.3675i | 0.715513 | + | 0.984819i | 0.999661 | + | 0.0260390i | \(0.00828939\pi\) |
−0.284148 | + | 0.958781i | \(0.591711\pi\) | |||||||
\(312\) | 7.12441 | − | 3.16072i | 0.403340 | − | 0.178941i | ||||
\(313\) | −17.0090 | + | 5.52657i | −0.961408 | + | 0.312380i | −0.747343 | − | 0.664439i | \(-0.768671\pi\) |
−0.214066 | + | 0.976819i | \(0.568671\pi\) | |||||||
\(314\) | −9.27438 | + | 7.23937i | −0.523384 | + | 0.408541i | ||||
\(315\) | 7.90481 | + | 0.472826i | 0.445385 | + | 0.0266407i | ||||
\(316\) | 9.72445 | + | 2.43368i | 0.547043 | + | 0.136905i | ||||
\(317\) | 16.2265 | + | 5.27232i | 0.911373 | + | 0.296123i | 0.726923 | − | 0.686719i | \(-0.240950\pi\) |
0.184450 | + | 0.982842i | \(0.440950\pi\) | |||||||
\(318\) | 12.5843 | − | 4.57404i | 0.705692 | − | 0.256499i | ||||
\(319\) | 4.85255 | − | 16.7963i | 0.271691 | − | 0.940411i | ||||
\(320\) | −15.8158 | − | 27.5616i | −0.884128 | − | 1.54074i | ||||
\(321\) | −4.67033 | + | 14.3738i | −0.260672 | + | 0.802267i | ||||
\(322\) | −16.2077 | − | 0.409777i | −0.903217 | − | 0.0228360i | ||||
\(323\) | −5.97245 | + | 8.22037i | −0.332316 | + | 0.457394i | ||||
\(324\) | 10.4620 | + | 6.55017i | 0.581220 | + | 0.363899i | ||||
\(325\) | −18.8454 | + | 6.12324i | −1.04535 | + | 0.339656i | ||||
\(326\) | 2.79123 | + | 0.801702i | 0.154592 | + | 0.0444021i | ||||
\(327\) | 7.73955 | − | 5.62311i | 0.427998 | − | 0.310959i | ||||
\(328\) | −13.1401 | + | 11.8000i | −0.725541 | + | 0.651546i | ||||
\(329\) | −11.6579 | − | 18.2452i | −0.642722 | − | 1.00589i | ||||
\(330\) | 6.82155 | − | 27.0786i | 0.375514 | − | 1.49063i | ||||
\(331\) | − | 0.611925i | − | 0.0336344i | −0.999859 | − | 0.0168172i | \(-0.994647\pi\) | ||
0.999859 | − | 0.0168172i | \(-0.00535334\pi\) | |||||||
\(332\) | 6.94061 | − | 2.79708i | 0.380915 | − | 0.153510i | ||||
\(333\) | 2.66801 | + | 3.67221i | 0.146206 | + | 0.201236i | ||||
\(334\) | 1.70824 | − | 5.94745i | 0.0934706 | − | 0.325430i | ||||
\(335\) | −26.9601 | + | 8.75986i | −1.47299 | + | 0.478602i | ||||
\(336\) | −12.0659 | + | 10.2966i | −0.658251 | + | 0.561723i | ||||
\(337\) | −0.173465 | + | 0.238754i | −0.00944923 | + | 0.0130058i | −0.813715 | − | 0.581263i | \(-0.802559\pi\) |
0.804266 | + | 0.594269i | \(0.202559\pi\) | |||||||
\(338\) | 11.2753 | + | 7.61253i | 0.613297 | + | 0.414067i | ||||
\(339\) | −7.28908 | + | 22.4335i | −0.395889 | + | 1.21842i | ||||
\(340\) | −14.8989 | + | 12.4794i | −0.808009 | + | 0.676788i | ||||
\(341\) | 0.710695 | + | 21.5866i | 0.0384863 | + | 1.16898i | ||||
\(342\) | −4.15979 | + | 1.51196i | −0.224935 | + | 0.0817577i | ||||
\(343\) | 18.2236 | + | 3.30167i | 0.983981 | + | 0.178273i | ||||
\(344\) | −21.5009 | + | 2.23112i | −1.15925 | + | 0.120294i | ||||
\(345\) | 20.8703 | + | 15.1631i | 1.12362 | + | 0.816355i | ||||
\(346\) | −16.6918 | − | 21.3839i | −0.897355 | − | 1.14961i | ||||
\(347\) | 10.0169 | + | 30.8289i | 0.537737 | + | 1.65498i | 0.737660 | + | 0.675173i | \(0.235931\pi\) |
−0.199923 | + | 0.979812i | \(0.564069\pi\) | |||||||
\(348\) | 15.7642 | − | 1.08839i | 0.845052 | − | 0.0583440i | ||||
\(349\) | −1.16837 | − | 1.60813i | −0.0625415 | − | 0.0860810i | 0.776601 | − | 0.629993i | \(-0.216942\pi\) |
−0.839142 | + | 0.543912i | \(0.816942\pi\) | |||||||
\(350\) | 33.2139 | − | 22.8714i | 1.77536 | − | 1.22253i | ||||
\(351\) | − | 10.3433i | − | 0.552082i | ||||||
\(352\) | −9.31255 | − | 16.2873i | −0.496361 | − | 0.868116i | ||||
\(353\) | 35.7880i | 1.90480i | 0.304846 | + | 0.952402i | \(0.401395\pi\) | ||||
−0.304846 | + | 0.952402i | \(0.598605\pi\) | |||||||
\(354\) | −0.341322 | + | 0.0117687i | −0.0181410 | + | 0.000625501i | ||||
\(355\) | −39.2314 | + | 28.5033i | −2.08218 | + | 1.51280i | ||||
\(356\) | 0.869425 | + | 12.5927i | 0.0460794 | + | 0.667413i | ||||
\(357\) | 7.49400 | + | 6.16069i | 0.396624 | + | 0.326058i | ||||
\(358\) | −19.9631 | − | 25.5749i | −1.05509 | − | 1.35167i | ||||
\(359\) | 8.65087 | − | 11.9069i | 0.456575 | − | 0.628422i | −0.517219 | − | 0.855853i | \(-0.673033\pi\) |
0.973794 | + | 0.227431i | \(0.0730327\pi\) | |||||||
\(360\) | −8.42048 | + | 0.873783i | −0.443798 | + | 0.0460524i | ||||
\(361\) | 0.540482 | − | 1.66343i | 0.0284464 | − | 0.0875491i | ||||
\(362\) | −2.10858 | − | 5.80123i | −0.110825 | − | 0.304906i | ||||
\(363\) | 4.05240 | − | 15.9813i | 0.212696 | − | 0.838801i | ||||
\(364\) | 9.27959 | + | 2.92113i | 0.486383 | + | 0.153109i | ||||
\(365\) | −13.8961 | + | 42.7677i | −0.727354 | + | 2.23856i | ||||
\(366\) | −3.78120 | + | 5.60054i | −0.197647 | + | 0.292745i | ||||
\(367\) | 1.56729 | − | 2.15719i | 0.0818119 | − | 0.112604i | −0.766150 | − | 0.642662i | \(-0.777830\pi\) |
0.847961 | + | 0.530058i | \(0.177830\pi\) | |||||||
\(368\) | 17.1678 | − | 2.38195i | 0.894933 | − | 0.124168i | ||||
\(369\) | 1.45392 | + | 4.47471i | 0.0756881 | + | 0.232944i | ||||
\(370\) | 32.5238 | + | 9.34155i | 1.69083 | + | 0.485644i | ||||
\(371\) | 15.5583 | + | 6.10447i | 0.807749 | + | 0.316929i | ||||
\(372\) | −18.1061 | + | 7.29679i | −0.938757 | + | 0.378321i | ||||
\(373\) | 18.1838 | 0.941522 | 0.470761 | − | 0.882261i | \(-0.343979\pi\) | ||||
0.470761 | + | 0.882261i | \(0.343979\pi\) | |||||||
\(374\) | −8.80801 | + | 7.35431i | −0.455451 | + | 0.380282i | ||||
\(375\) | −34.3986 | −1.77634 | ||||||||
\(376\) | 15.4653 | + | 17.2217i | 0.797564 | + | 0.888142i | ||||
\(377\) | −5.69653 | − | 7.84060i | −0.293386 | − | 0.403811i | ||||
\(378\) | 5.99676 | + | 20.1778i | 0.308440 | + | 1.03784i | ||||
\(379\) | 21.9048 | − | 7.11729i | 1.12517 | − | 0.365590i | 0.313432 | − | 0.949610i | \(-0.398521\pi\) |
0.811739 | + | 0.584020i | \(0.198521\pi\) | |||||||
\(380\) | −17.5098 | + | 27.9667i | −0.898235 | + | 1.43466i | ||||
\(381\) | −6.95238 | + | 9.56913i | −0.356181 | + | 0.490241i | ||||
\(382\) | −4.40079 | − | 2.97119i | −0.225164 | − | 0.152019i | ||||
\(383\) | 26.7169 | + | 8.68085i | 1.36517 | + | 0.443571i | 0.897766 | − | 0.440473i | \(-0.145189\pi\) |
0.467405 | + | 0.884044i | \(0.345189\pi\) | |||||||
\(384\) | 10.9399 | − | 12.9564i | 0.558276 | − | 0.661177i | ||||
\(385\) | 28.7381 | − | 19.7235i | 1.46463 | − | 1.00520i | ||||
\(386\) | 15.2841 | − | 5.55535i | 0.777942 | − | 0.282760i | ||||
\(387\) | −1.77957 | + | 5.47694i | −0.0904604 | + | 0.278408i | ||||
\(388\) | 1.00090 | + | 0.250489i | 0.0508130 | + | 0.0127167i | ||||
\(389\) | 6.56373 | − | 9.03420i | 0.332794 | − | 0.458052i | −0.609525 | − | 0.792767i | \(-0.708640\pi\) |
0.942320 | + | 0.334715i | \(0.108640\pi\) | |||||||
\(390\) | −9.52477 | − | 12.2022i | −0.482305 | − | 0.617883i | ||||
\(391\) | −3.27570 | − | 10.0816i | −0.165659 | − | 0.509847i | ||||
\(392\) | −19.7964 | − | 0.318528i | −0.999871 | − | 0.0160881i | ||||
\(393\) | −8.49050 | − | 11.6862i | −0.428289 | − | 0.589489i | ||||
\(394\) | 18.5580 | − | 0.639879i | 0.934939 | − | 0.0322366i | ||||
\(395\) | − | 19.9090i | − | 1.00173i | ||||||
\(396\) | −4.97238 | + | 0.508163i | −0.249871 | + | 0.0255361i | ||||
\(397\) | −33.8966 | −1.70122 | −0.850611 | − | 0.525796i | \(-0.823767\pi\) | ||||
−0.850611 | + | 0.525796i | \(0.823767\pi\) | |||||||
\(398\) | −1.01252 | − | 29.3654i | −0.0507529 | − | 1.47196i | ||||
\(399\) | 15.3325 | + | 6.01588i | 0.767587 | + | 0.301171i | ||||
\(400\) | −31.0644 | + | 29.8930i | −1.55322 | + | 1.49465i | ||||
\(401\) | 7.85626 | + | 24.1791i | 0.392323 | + | 1.20745i | 0.931027 | + | 0.364950i | \(0.118914\pi\) |
−0.538704 | + | 0.842495i | \(0.681086\pi\) | |||||||
\(402\) | −9.30796 | − | 11.9245i | −0.464239 | − | 0.594738i | ||||
\(403\) | 9.68608 | + | 7.03735i | 0.482498 | + | 0.350555i | ||||
\(404\) | −7.80044 | − | 1.95217i | −0.388086 | − | 0.0971239i | ||||
\(405\) | 7.57544 | − | 23.3148i | 0.376427 | − | 1.15852i | ||||
\(406\) | 15.6587 | + | 11.9929i | 0.777128 | + | 0.595198i | ||||
\(407\) | 19.1939 | + | 5.54525i | 0.951408 | + | 0.274868i | ||||
\(408\) | −8.97475 | − | 5.19739i | −0.444316 | − | 0.257309i | ||||
\(409\) | 9.77921 | − | 30.0973i | 0.483551 | − | 1.48822i | −0.350518 | − | 0.936556i | \(-0.613994\pi\) |
0.834069 | − | 0.551661i | \(-0.186006\pi\) | |||||||
\(410\) | 29.0702 | + | 19.6267i | 1.43568 | + | 0.969296i | ||||
\(411\) | 25.0167 | + | 18.1757i | 1.23398 | + | 0.896539i | ||||
\(412\) | 11.1004 | − | 17.7296i | 0.546877 | − | 0.873473i | ||||
\(413\) | −0.329299 | − | 0.270711i | −0.0162038 | − | 0.0133208i | ||||
\(414\) | 1.27470 | − | 4.43803i | 0.0626481 | − | 0.218117i | ||||
\(415\) | −8.73554 | − | 12.0234i | −0.428811 | − | 0.590207i | ||||
\(416\) | −10.2958 | − | 1.47010i | −0.504792 | − | 0.0720776i | ||||
\(417\) | − | 23.1554i | − | 1.13392i | ||||||
\(418\) | −10.3637 | + | 16.4959i | −0.506907 | + | 0.806840i | ||||
\(419\) | −33.1677 | −1.62035 | −0.810175 | − | 0.586189i | \(-0.800628\pi\) | ||||
−0.810175 | + | 0.586189i | \(0.800628\pi\) | |||||||
\(420\) | 25.6557 | + | 18.2821i | 1.25187 | + | 0.892077i | ||||
\(421\) | −5.58059 | − | 7.68102i | −0.271981 | − | 0.374350i | 0.651076 | − | 0.759012i | \(-0.274318\pi\) |
−0.923057 | + | 0.384662i | \(0.874318\pi\) | |||||||
\(422\) | −2.02204 | + | 7.03998i | −0.0984312 | + | 0.342701i | ||||
\(423\) | 5.86465 | − | 1.90554i | 0.285149 | − | 0.0926505i | ||||
\(424\) | −17.4717 | − | 3.73785i | −0.848499 | − | 0.181526i | ||||
\(425\) | 21.3313 | + | 15.4981i | 1.03472 | + | 0.751767i | ||||
\(426\) | −21.4469 | − | 14.4798i | −1.03910 | − | 0.701550i | ||||
\(427\) | −8.16315 | + | 2.12283i | −0.395043 | + | 0.102731i | ||||
\(428\) | 15.4603 | − | 12.9496i | 0.747302 | − | 0.625940i | ||||
\(429\) | −5.61236 | − | 7.21311i | −0.270967 | − | 0.348252i | ||||
\(430\) | 14.6657 | + | 40.3489i | 0.707242 | + | 1.94580i | ||||
\(431\) | −32.2347 | − | 10.4737i | −1.55269 | − | 0.504501i | −0.597849 | − | 0.801609i | \(-0.703978\pi\) |
−0.954844 | + | 0.297108i | \(0.903978\pi\) | |||||||
\(432\) | −9.82924 | − | 20.2434i | −0.472910 | − | 0.973959i | ||||
\(433\) | −14.5545 | + | 20.0326i | −0.699446 | + | 0.962704i | 0.300515 | + | 0.953777i | \(0.402842\pi\) |
−0.999960 | + | 0.00892696i | \(0.997158\pi\) | |||||||
\(434\) | −22.9759 | − | 8.11286i | −1.10288 | − | 0.389430i | ||||
\(435\) | −9.69800 | − | 29.8474i | −0.464983 | − | 1.43107i | ||||
\(436\) | −12.7351 | + | 0.879258i | −0.609903 | + | 0.0421088i | ||||
\(437\) | −10.5784 | − | 14.5599i | −0.506034 | − | 0.696496i | ||||
\(438\) | −23.9825 | + | 0.826914i | −1.14593 | + | 0.0395115i | ||||
\(439\) | 5.19462 | 0.247926 | 0.123963 | − | 0.992287i | \(-0.460440\pi\) | ||||
0.123963 | + | 0.992287i | \(0.460440\pi\) | |||||||
\(440\) | −26.8897 | + | 25.7953i | −1.28191 | + | 1.22974i | ||||
\(441\) | −2.21631 | + | 4.78641i | −0.105539 | + | 0.227924i | ||||
\(442\) | 0.219188 | + | 6.35698i | 0.0104257 | + | 0.302371i | ||||
\(443\) | −3.98697 | − | 5.48760i | −0.189427 | − | 0.260724i | 0.703732 | − | 0.710466i | \(-0.251516\pi\) |
−0.893158 | + | 0.449742i | \(0.851516\pi\) | |||||||
\(444\) | 1.24376 | + | 18.0146i | 0.0590263 | + | 0.854935i | ||||
\(445\) | 23.8425 | − | 7.74691i | 1.13024 | − | 0.367239i | ||||
\(446\) | −4.86768 | − | 6.23600i | −0.230491 | − | 0.295283i | ||||
\(447\) | −23.1701 | − | 16.8341i | −1.09591 | − | 0.796225i | ||||
\(448\) | 20.9376 | − | 3.10133i | 0.989207 | − | 0.146524i | ||||
\(449\) | −2.66893 | + | 8.21412i | −0.125955 | + | 0.387648i | −0.994074 | − | 0.108708i | \(-0.965329\pi\) |
0.868119 | + | 0.496356i | \(0.165329\pi\) | |||||||
\(450\) | 3.92344 | + | 10.7943i | 0.184953 | + | 0.508850i | ||||
\(451\) | 17.1455 | + | 11.6146i | 0.807348 | + | 0.546911i | ||||
\(452\) | 24.1292 | − | 20.2106i | 1.13494 | − | 0.950629i | ||||
\(453\) | 20.3648 | + | 6.61691i | 0.956820 | + | 0.310890i | ||||
\(454\) | 16.8483 | − | 24.9550i | 0.790732 | − | 1.17120i | ||||
\(455\) | 1.15365 | − | 19.2870i | 0.0540840 | − | 0.904188i | ||||
\(456\) | −17.2181 | − | 3.68360i | −0.806311 | − | 0.172500i | ||||
\(457\) | 4.65798 | − | 1.51347i | 0.217891 | − | 0.0707971i | −0.198037 | − | 0.980194i | \(-0.563457\pi\) |
0.415928 | + | 0.909397i | \(0.363457\pi\) | |||||||
\(458\) | 3.22826 | − | 11.2396i | 0.150847 | − | 0.525192i | ||||
\(459\) | −11.1346 | + | 8.08976i | −0.519719 | + | 0.377598i | ||||
\(460\) | −12.8670 | − | 31.9278i | −0.599925 | − | 1.48864i | ||||
\(461\) | − | 39.6608i | − | 1.84719i | −0.383374 | − | 0.923593i | \(-0.625238\pi\) | ||
0.383374 | − | 0.923593i | \(-0.374762\pi\) | |||||||
\(462\) | 15.1307 | + | 10.8176i | 0.703944 | + | 0.503280i | ||||
\(463\) | −7.15799 | −0.332660 | −0.166330 | − | 0.986070i | \(-0.553192\pi\) | ||||
−0.166330 | + | 0.986070i | \(0.553192\pi\) | |||||||
\(464\) | −18.6000 | − | 9.93183i | −0.863481 | − | 0.461074i | ||||
\(465\) | 22.7886 | + | 31.3658i | 1.05679 | + | 1.45455i | ||||
\(466\) | 21.8609 | + | 6.27894i | 1.01269 | + | 0.290866i | ||||
\(467\) | 7.23714 | + | 22.2736i | 0.334895 | + | 1.03070i | 0.966774 | + | 0.255634i | \(0.0822840\pi\) |
−0.631879 | + | 0.775067i | \(0.717716\pi\) | |||||||
\(468\) | −1.47032 | + | 2.34840i | −0.0679656 | + | 0.108555i | ||||
\(469\) | 1.12739 | − | 18.8480i | 0.0520581 | − | 0.870318i | ||||
\(470\) | 25.7232 | − | 38.1001i | 1.18652 | − | 1.75743i | ||||
\(471\) | −3.85321 | + | 11.8590i | −0.177546 | + | 0.546432i | ||||
\(472\) | 0.394366 | + | 0.228382i | 0.0181522 | + | 0.0105122i | ||||
\(473\) | 8.62179 | + | 23.8360i | 0.396430 | + | 1.09598i | ||||
\(474\) | 9.98500 | − | 3.62927i | 0.458626 | − | 0.166698i | ||||
\(475\) | 42.5740 | + | 13.8331i | 1.95343 | + | 0.634708i | ||||
\(476\) | −4.11322 | − | 12.2743i | −0.188529 | − | 0.562590i | ||||
\(477\) | −2.79782 | + | 3.85087i | −0.128103 | + | 0.176319i | ||||
\(478\) | −25.8487 | − | 33.1148i | −1.18229 | − | 1.51464i | ||||
\(479\) | −8.26005 | − | 25.4218i | −0.377411 | − | 1.16155i | −0.941837 | − | 0.336069i | \(-0.890902\pi\) |
0.564426 | − | 0.825484i | \(-0.309098\pi\) | |||||||
\(480\) | −30.2373 | − | 14.8302i | −1.38014 | − | 0.676903i | ||||
\(481\) | 8.95984 | − | 6.50971i | 0.408534 | − | 0.296817i | ||||
\(482\) | 13.3336 | − | 0.459741i | 0.607328 | − | 0.0209406i | ||||
\(483\) | −14.4795 | + | 9.25179i | −0.658838 | + | 0.420971i | ||||
\(484\) | −15.8997 | + | 15.2052i | −0.722715 | + | 0.691146i | ||||
\(485\) | − | 2.04916i | − | 0.0930476i | ||||||
\(486\) | −10.7803 | + | 0.371705i | −0.489006 | + | 0.0168609i | ||||
\(487\) | 8.62207 | − | 6.26430i | 0.390703 | − | 0.283862i | −0.375040 | − | 0.927008i | \(-0.622371\pi\) |
0.765744 | + | 0.643146i | \(0.222371\pi\) | |||||||
\(488\) | 8.24230 | − | 3.65667i | 0.373112 | − | 0.165530i | ||||
\(489\) | 2.92719 | − | 0.951102i | 0.132372 | − | 0.0430103i | ||||
\(490\) | 8.93155 | + | 38.2943i | 0.403486 | + | 1.72996i | ||||
\(491\) | 18.5379 | + | 13.4685i | 0.836602 | + | 0.607827i | 0.921419 | − | 0.388570i | \(-0.127031\pi\) |
−0.0848175 | + | 0.996397i | \(0.527031\pi\) | |||||||
\(492\) | −4.54415 | + | 18.1574i | −0.204866 | + | 0.818600i | ||||
\(493\) | −3.98505 | + | 12.2647i | −0.179478 | + | 0.552375i | ||||
\(494\) | 3.68905 | + | 10.1495i | 0.165978 | + | 0.456647i | ||||
\(495\) | 3.37658 | + | 9.33500i | 0.151766 | + | 0.419577i | ||||
\(496\) | 25.6448 | + | 4.56846i | 1.15148 | + | 0.205130i | ||||
\(497\) | −8.12923 | − | 31.2602i | −0.364646 | − | 1.40221i | ||||
\(498\) | 4.43771 | − | 6.57293i | 0.198858 | − | 0.294540i | ||||
\(499\) | 0.970146 | − | 1.33529i | 0.0434297 | − | 0.0597758i | −0.786750 | − | 0.617272i | \(-0.788238\pi\) |
0.830180 | + | 0.557496i | \(0.188238\pi\) | |||||||
\(500\) | 38.9046 | + | 24.3579i | 1.73987 | + | 1.08932i | ||||
\(501\) | −2.02657 | − | 6.23715i | −0.0905407 | − | 0.278655i | ||||
\(502\) | −4.87488 | + | 16.9725i | −0.217576 | + | 0.757520i | ||||
\(503\) | −30.3387 | + | 22.0423i | −1.35273 | + | 0.982819i | −0.353865 | + | 0.935297i | \(0.615133\pi\) |
−0.998870 | + | 0.0475228i | \(0.984867\pi\) | |||||||
\(504\) | 1.50679 | − | 5.43377i | 0.0671178 | − | 0.242039i | ||||
\(505\) | 15.9700i | 0.710655i | ||||||||
\(506\) | −7.56753 | − | 18.8624i | −0.336418 | − | 0.838538i | ||||
\(507\) | 14.4185 | 0.640348 | ||||||||
\(508\) | 14.6391 | − | 5.89958i | 0.649504 | − | 0.261751i | ||||
\(509\) | 20.0659 | − | 14.5787i | 0.889406 | − | 0.646191i | −0.0463172 | − | 0.998927i | \(-0.514748\pi\) |
0.935723 | + | 0.352736i | \(0.114748\pi\) | |||||||
\(510\) | −5.68619 | + | 19.7972i | −0.251789 | + | 0.876635i | ||||
\(511\) | −23.1377 | − | 19.0212i | −1.02355 | − | 0.841447i | ||||
\(512\) | −21.5475 | + | 6.90692i | −0.952274 | + | 0.305246i | ||||
\(513\) | −13.7346 | + | 18.9040i | −0.606396 | + | 0.834633i | ||||
\(514\) | −16.9743 | + | 25.1416i | −0.748705 | + | 1.10895i | ||||
\(515\) | −39.5109 | − | 12.8379i | −1.74106 | − | 0.565704i | ||||
\(516\) | −17.5628 | + | 14.7106i | −0.773159 | + | 0.647598i | ||||
\(517\) | 15.2224 | − | 22.4712i | 0.669479 | − | 0.988283i | ||||
\(518\) | −13.7049 | + | 17.8940i | −0.602158 | + | 0.786216i | ||||
\(519\) | −27.3431 | − | 8.88432i | −1.20023 | − | 0.389978i | ||||
\(520\) | 2.13195 | + | 20.5452i | 0.0934922 | + | 0.900966i | ||||
\(521\) | −4.92477 | + | 6.77836i | −0.215758 | + | 0.296965i | −0.903153 | − | 0.429318i | \(-0.858754\pi\) |
0.687395 | + | 0.726283i | \(0.258754\pi\) | |||||||
\(522\) | −4.42807 | + | 3.45645i | −0.193812 | + | 0.151285i | ||||
\(523\) | −8.17698 | + | 2.65686i | −0.357554 | + | 0.116176i | −0.482285 | − | 0.876014i | \(-0.660193\pi\) |
0.124731 | + | 0.992191i | \(0.460193\pi\) | |||||||
\(524\) | 1.32762 | + | 19.2292i | 0.0579973 | + | 0.840030i | ||||
\(525\) | 15.6108 | − | 39.7868i | 0.681310 | − | 1.73644i | ||||
\(526\) | 0.000448118 | 0.0129965i | 1.95389e−5 | 0.000566674i | ||||||
\(527\) | − | 15.9313i | − | 0.693977i | ||||||
\(528\) | −17.8389 | − | 8.78373i | −0.776339 | − | 0.382263i | ||||
\(529\) | −4.22458 | −0.183677 | ||||||||
\(530\) | 1.22280 | + | 35.4640i | 0.0531149 | + | 1.54046i | ||||
\(531\) | 0.0982216 | − | 0.0713622i | 0.00426245 | − | 0.00309685i | ||||
\(532\) | −13.0811 | − | 17.6610i | −0.567138 | − | 0.765702i | ||||
\(533\) | 10.9179 | − | 3.54743i | 0.472905 | − | 0.153656i | ||||
\(534\) | 8.23163 | + | 10.5456i | 0.356217 | + | 0.456351i | ||||
\(535\) | −32.4037 | − | 23.5427i | −1.40094 | − | 1.01784i | ||||
\(536\) | 2.08342 | + | 20.0775i | 0.0899901 | + | 0.867217i | ||||
\(537\) | −32.7020 | − | 10.6255i | −1.41120 | − | 0.458526i | ||||
\(538\) | 11.5656 | + | 31.8199i | 0.498630 | + | 1.37185i | ||||
\(539\) | 5.23816 | + | 22.6177i | 0.225623 | + | 0.974215i | ||||
\(540\) | −34.2624 | + | 28.6982i | −1.47442 | + | 1.23498i | ||||
\(541\) | −3.51281 | + | 10.8113i | −0.151027 | + | 0.464814i | −0.997737 | − | 0.0672413i | \(-0.978580\pi\) |
0.846709 | + | 0.532056i | \(0.178580\pi\) | |||||||
\(542\) | −26.2262 | − | 17.7066i | −1.12651 | − | 0.760564i | ||||
\(543\) | −5.29247 | − | 3.84520i | −0.227122 | − | 0.165014i | ||||
\(544\) | 6.47006 | + | 12.2333i | 0.277401 | + | 0.524499i | ||||
\(545\) | 7.83453 | + | 24.1122i | 0.335594 | + | 1.03285i | ||||
\(546\) | 9.88333 | − | 2.93728i | 0.422967 | − | 0.125704i | ||||
\(547\) | −0.531438 | + | 0.386112i | −0.0227227 | + | 0.0165090i | −0.599089 | − | 0.800683i | \(-0.704470\pi\) |
0.576366 | + | 0.817192i | \(0.304470\pi\) | |||||||
\(548\) | −15.4233 | − | 38.2710i | −0.658851 | − | 1.63486i | ||||
\(549\) | − | 2.40222i | − | 0.102524i | ||||||
\(550\) | 42.8056 | + | 26.8931i | 1.82524 | + | 1.14673i | ||||
\(551\) | 21.8943i | 0.932729i | ||||||||
\(552\) | 13.6672 | − | 12.2734i | 0.581716 | − | 0.522390i | ||||
\(553\) | 12.3448 | + | 4.84359i | 0.524952 | + | 0.205970i | ||||
\(554\) | −4.87307 | + | 16.9662i | −0.207037 | + | 0.720825i | ||||
\(555\) | 34.1081 | − | 11.0824i | 1.44781 | − | 0.470421i | ||||
\(556\) | −16.3965 | + | 26.1886i | −0.695367 | + | 1.11064i | ||||
\(557\) | 0.638638 | + | 0.463998i | 0.0270600 | + | 0.0196602i | 0.601233 | − | 0.799074i | \(-0.294676\pi\) |
−0.574173 | + | 0.818734i | \(0.694676\pi\) | |||||||
\(558\) | 3.88309 | − | 5.75145i | 0.164384 | − | 0.243478i | ||||
\(559\) | 13.3632 | + | 4.34197i | 0.565204 | + | 0.183646i | ||||
\(560\) | −16.0706 | − | 38.8440i | −0.679109 | − | 1.64146i | ||||
\(561\) | −3.37539 | + | 11.6833i | −0.142509 | + | 0.493271i | ||||
\(562\) | 40.5187 | − | 14.7274i | 1.70918 | − | 0.621238i | ||||
\(563\) | −14.7285 | − | 4.78559i | −0.620734 | − | 0.201689i | −0.0182679 | − | 0.999833i | \(-0.505815\pi\) |
−0.602466 | + | 0.798144i | \(0.705815\pi\) | |||||||
\(564\) | 23.7975 | + | 5.95566i | 1.00206 | + | 0.250778i | ||||
\(565\) | −50.5732 | − | 36.7436i | −2.12763 | − | 1.54581i | ||||
\(566\) | −5.22453 | − | 6.69317i | −0.219603 | − | 0.281335i | ||||
\(567\) | 12.6135 | + | 10.3694i | 0.529719 | + | 0.435473i | ||||
\(568\) | 14.0029 | + | 31.5633i | 0.587551 | + | 1.32437i | ||||
\(569\) | 1.24663 | + | 1.71584i | 0.0522616 | + | 0.0719319i | 0.834348 | − | 0.551238i | \(-0.185844\pi\) |
−0.782086 | + | 0.623170i | \(0.785844\pi\) | |||||||
\(570\) | 1.20505 | + | 34.9493i | 0.0504740 | + | 1.46387i | ||||
\(571\) | −7.95604 | −0.332950 | −0.166475 | − | 0.986046i | \(-0.553238\pi\) | ||||
−0.166475 | + | 0.986046i | \(0.553238\pi\) | |||||||
\(572\) | 1.23987 | + | 12.1321i | 0.0518416 | + | 0.507270i | ||||
\(573\) | −5.62759 | −0.235096 | ||||||||
\(574\) | −19.2421 | + | 13.2503i | −0.803150 | + | 0.553057i | ||||
\(575\) | −37.7819 | + | 27.4502i | −1.57562 | + | 1.14475i | ||||
\(576\) | −0.645950 | + | 5.99344i | −0.0269146 | + | 0.249727i | ||||
\(577\) | 33.1140 | − | 10.7594i | 1.37855 | − | 0.447919i | 0.476359 | − | 0.879251i | \(-0.341956\pi\) |
0.902193 | + | 0.431332i | \(0.141956\pi\) | |||||||
\(578\) | −12.2797 | + | 9.58522i | −0.510767 | + | 0.398693i | ||||
\(579\) | 10.1307 | − | 13.9437i | 0.421018 | − | 0.579482i | ||||
\(580\) | −10.1668 | + | 40.6244i | −0.422154 | + | 1.68684i | ||||
\(581\) | 9.58047 | − | 2.49141i | 0.397465 | − | 0.103361i | ||||
\(582\) | 1.02772 | − | 0.373547i | 0.0426003 | − | 0.0154840i | ||||
\(583\) | 0.689393 | + | 20.9396i | 0.0285518 | + | 0.867229i | ||||
\(584\) | 27.7096 | + | 16.0470i | 1.14663 | + | 0.664028i | ||||
\(585\) | 5.23349 | + | 1.70046i | 0.216378 | + | 0.0703055i | ||||
\(586\) | 3.46002 | − | 5.12483i | 0.142932 | − | 0.211705i | ||||
\(587\) | −33.4758 | − | 24.3216i | −1.38170 | − | 1.00386i | −0.996719 | − | 0.0809340i | \(-0.974210\pi\) |
−0.384976 | − | 0.922927i | \(-0.625790\pi\) | |||||||
\(588\) | −17.5777 | + | 11.4602i | −0.724890 | + | 0.472611i | ||||
\(589\) | −8.35819 | − | 25.7239i | −0.344393 | − | 1.05993i | ||||
\(590\) | 0.249861 | − | 0.869923i | 0.0102866 | − | 0.0358142i | ||||
\(591\) | 15.9215 | − | 11.5676i | 0.654922 | − | 0.475829i | ||||
\(592\) | 11.3496 | − | 21.2551i | 0.466466 | − | 0.873579i | ||||
\(593\) | −21.4575 | −0.881152 | −0.440576 | − | 0.897715i | \(-0.645226\pi\) | ||||
−0.440576 | + | 0.897715i | \(0.645226\pi\) | |||||||
\(594\) | −20.2554 | + | 16.9124i | −0.831089 | + | 0.693924i | ||||
\(595\) | −21.6649 | + | 13.8430i | −0.888175 | + | 0.567508i | ||||
\(596\) | 14.2849 | + | 35.4462i | 0.585132 | + | 1.45193i | ||||
\(597\) | −18.3041 | − | 25.1935i | −0.749139 | − | 1.03110i | ||||
\(598\) | −10.8284 | − | 3.11015i | −0.442806 | − | 0.127184i | ||||
\(599\) | 12.1065 | + | 37.2601i | 0.494659 | + | 1.52241i | 0.817487 | + | 0.575947i | \(0.195367\pi\) |
−0.322827 | + | 0.946458i | \(0.604633\pi\) | |||||||
\(600\) | −9.55867 | + | 44.6797i | −0.390231 | + | 1.82404i | ||||
\(601\) | −15.7762 | − | 11.4621i | −0.643525 | − | 0.467548i | 0.217534 | − | 0.976053i | \(-0.430199\pi\) |
−0.861060 | + | 0.508504i | \(0.830199\pi\) | |||||||
\(602\) | −28.5866 | − | 0.722753i | −1.16510 | − | 0.0294572i | ||||
\(603\) | 5.11436 | + | 1.66176i | 0.208273 | + | 0.0676720i | ||||
\(604\) | −18.3469 | − | 21.9041i | −0.746525 | − | 0.891267i | ||||
\(605\) | 36.9615 | + | 23.3017i | 1.50270 | + | 0.947349i | ||||
\(606\) | −8.00945 | + | 2.91121i | −0.325361 | + | 0.118260i | ||||
\(607\) | −1.38834 | + | 4.27288i | −0.0563512 | + | 0.173431i | −0.975271 | − | 0.221014i | \(-0.929063\pi\) |
0.918919 | + | 0.394445i | \(0.129063\pi\) | |||||||
\(608\) | 16.8652 | + | 16.3584i | 0.683972 | + | 0.663421i | ||||
\(609\) | 20.8665 | + | 1.24813i | 0.845553 | + | 0.0505767i | ||||
\(610\) | −11.0193 | − | 14.1169i | −0.446159 | − | 0.571576i | ||||
\(611\) | −4.64934 | − | 14.3092i | −0.188092 | − | 0.578888i | ||||
\(612\) | 3.67806 | − | 0.253940i | 0.148677 | − | 0.0102649i | ||||
\(613\) | −37.8992 | + | 27.5354i | −1.53073 | + | 1.11214i | −0.574905 | + | 0.818220i | \(0.694961\pi\) |
−0.955829 | + | 0.293924i | \(0.905039\pi\) | |||||||
\(614\) | 0.292253 | + | 8.47604i | 0.0117944 | + | 0.342065i | ||||
\(615\) | 37.1740 | 1.49900 | ||||||||
\(616\) | −9.45268 | − | 22.9488i | −0.380859 | − | 0.924633i | ||||
\(617\) | 12.8290 | 0.516475 | 0.258237 | − | 0.966081i | \(-0.416858\pi\) | ||||
0.258237 | + | 0.966081i | \(0.416858\pi\) | |||||||
\(618\) | −0.763943 | − | 22.1562i | −0.0307303 | − | 0.891253i | ||||
\(619\) | −0.328517 | + | 0.238682i | −0.0132042 | + | 0.00959343i | −0.594368 | − | 0.804193i | \(-0.702598\pi\) |
0.581164 | + | 0.813787i | \(0.302598\pi\) | |||||||
\(620\) | −3.56334 | − | 51.6112i | −0.143107 | − | 2.07276i | ||||
\(621\) | −7.53299 | − | 23.1841i | −0.302288 | − | 0.930348i | ||||
\(622\) | −18.6806 | − | 23.9318i | −0.749025 | − | 0.959578i | ||||
\(623\) | −0.997023 | + | 16.6685i | −0.0399449 | + | 0.667808i | ||||
\(624\) | −9.91542 | + | 4.81447i | −0.396934 | + | 0.192733i | ||||
\(625\) | 11.5179 | − | 35.4484i | 0.460716 | − | 1.41794i | ||||
\(626\) | 23.7708 | − | 8.64002i | 0.950073 | − | 0.345325i | ||||
\(627\) | 0.679388 | + | 20.6357i | 0.0271322 | + | 0.824110i | ||||
\(628\) | 12.7554 | − | 10.6839i | 0.508995 | − | 0.426334i | ||||
\(629\) | −14.0155 | − | 4.55392i | −0.558835 | − | 0.181576i | ||||
\(630\) | −11.1955 | − | 0.283054i | −0.446039 | − | 0.0112772i | ||||
\(631\) | 13.9226 | + | 10.1153i | 0.554248 | + | 0.402685i | 0.829349 | − | 0.558730i | \(-0.188711\pi\) |
−0.275101 | + | 0.961415i | \(0.588711\pi\) | |||||||
\(632\) | −13.8629 | − | 2.96579i | −0.551436 | − | 0.117973i | ||||
\(633\) | 2.39885 | + | 7.38291i | 0.0953458 | + | 0.293444i | ||||
\(634\) | −23.1911 | − | 6.66099i | −0.921036 | − | 0.264542i | ||||
\(635\) | −18.4249 | − | 25.3597i | −0.731171 | − | 1.00637i | ||||
\(636\) | −17.5634 | + | 7.07809i | −0.696434 | + | 0.280665i | ||||
\(637\) | 11.6784 | + | 5.40759i | 0.462714 | + | 0.214256i | ||||
\(638\) | −6.03993 | + | 23.9759i | −0.239123 | + | 0.949215i | ||||
\(639\) | 9.19911 | 0.363911 | ||||||||
\(640\) | 23.6968 | + | 38.1841i | 0.936696 | + | 1.50936i | ||||
\(641\) | −19.0684 | + | 13.8540i | −0.753158 | + | 0.547202i | −0.896804 | − | 0.442428i | \(-0.854117\pi\) |
0.143646 | + | 0.989629i | \(0.454117\pi\) | |||||||
\(642\) | 5.90044 | − | 20.5431i | 0.232872 | − | 0.810773i | ||||
\(643\) | 1.40484 | + | 4.32367i | 0.0554016 | + | 0.170509i | 0.974928 | − | 0.222519i | \(-0.0714278\pi\) |
−0.919527 | + | 0.393027i | \(0.871428\pi\) | |||||||
\(644\) | 22.9274 | − | 0.210680i | 0.903468 | − | 0.00830195i | ||||
\(645\) | 36.8104 | + | 26.7443i | 1.44941 | + | 1.05306i | ||||
\(646\) | 8.04070 | − | 11.9095i | 0.316357 | − | 0.468573i | ||||
\(647\) | −22.2464 | − | 7.22829i | −0.874596 | − | 0.284174i | −0.162885 | − | 0.986645i | \(-0.552080\pi\) |
−0.711712 | + | 0.702472i | \(0.752080\pi\) | |||||||
\(648\) | −15.1059 | − | 8.74800i | −0.593414 | − | 0.343654i | ||||
\(649\) | 0.148320 | − | 0.513386i | 0.00582208 | − | 0.0201522i | ||||
\(650\) | 26.3372 | − | 9.57282i | 1.03303 | − | 0.375477i | ||||
\(651\) | −24.9927 | + | 6.49938i | −0.979543 | + | 0.254731i | ||||
\(652\) | −3.98412 | − | 0.997079i | −0.156030 | − | 0.0390486i | ||||
\(653\) | −4.31189 | + | 5.93481i | −0.168737 | + | 0.232247i | −0.885008 | − | 0.465575i | \(-0.845847\pi\) |
0.716271 | + | 0.697822i | \(0.245847\pi\) | |||||||
\(654\) | −10.6648 | + | 8.32473i | −0.417028 | + | 0.325523i | ||||
\(655\) | 36.4077 | − | 11.8296i | 1.42257 | − | 0.462220i | ||||
\(656\) | 17.9968 | − | 17.3182i | 0.702658 | − | 0.676161i | ||||
\(657\) | 6.90140 | − | 5.01416i | 0.269249 | − | 0.195621i | ||||
\(658\) | 17.3662 | + | 25.2191i | 0.677003 | + | 0.983144i | ||||
\(659\) | −28.2973 | −1.10231 | −0.551154 | − | 0.834404i | \(-0.685812\pi\) | ||||
−0.551154 | + | 0.834404i | \(0.685812\pi\) | |||||||
\(660\) | −8.32177 | + | 38.6046i | −0.323925 | + | 1.50268i | ||||
\(661\) | 16.9838 | 0.660593 | 0.330296 | − | 0.943877i | \(-0.392851\pi\) | ||||
0.330296 | + | 0.943877i | \(0.392851\pi\) | |||||||
\(662\) | 0.0298209 | + | 0.864879i | 0.00115902 | + | 0.0336145i | ||||
\(663\) | 3.96245 | + | 5.45385i | 0.153889 | + | 0.211810i | ||||
\(664\) | −9.67336 | + | 4.29156i | −0.375399 | + | 0.166545i | ||||
\(665\) | −27.7193 | + | 33.7183i | −1.07491 | + | 1.30754i | ||||
\(666\) | −3.94986 | − | 5.06018i | −0.153054 | − | 0.196078i | ||||
\(667\) | −18.4789 | − | 13.4257i | −0.715507 | − | 0.519847i | ||||
\(668\) | −2.12454 | + | 8.48921i | −0.0822009 | + | 0.328457i | ||||
\(669\) | −7.97384 | − | 2.59086i | −0.308286 | − | 0.100168i | ||||
\(670\) | 37.6778 | − | 13.6948i | 1.45562 | − | 0.529076i | ||||
\(671\) | −6.49300 | − | 8.34493i | −0.250659 | − | 0.322152i | ||||
\(672\) | 16.5519 | − | 15.1409i | 0.638503 | − | 0.584072i | ||||
\(673\) | −19.8317 | − | 6.44371i | −0.764456 | − | 0.248387i | −0.0992660 | − | 0.995061i | \(-0.531649\pi\) |
−0.665190 | + | 0.746674i | \(0.731649\pi\) | |||||||
\(674\) | 0.233536 | − | 0.345902i | 0.00899545 | − | 0.0133236i | ||||
\(675\) | 49.0546 | + | 35.6402i | 1.88811 | + | 1.37179i | ||||
\(676\) | −16.3072 | − | 10.2099i | −0.627201 | − | 0.392687i | ||||
\(677\) | 30.0845 | − | 9.77503i | 1.15624 | − | 0.375685i | 0.332749 | − | 0.943015i | \(-0.392024\pi\) |
0.823490 | + | 0.567330i | \(0.192024\pi\) | |||||||
\(678\) | 9.20894 | − | 32.0621i | 0.353667 | − | 1.23134i | ||||
\(679\) | 1.27060 | + | 0.498533i | 0.0487611 | + | 0.0191319i | ||||
\(680\) | 20.4496 | − | 18.3641i | 0.784207 | − | 0.704230i | ||||
\(681\) | − | 31.9116i | − | 1.22285i | ||||||
\(682\) | −2.05646 | − | 30.4753i | −0.0787458 | − | 1.16696i | ||||
\(683\) | 6.47508i | 0.247762i | 0.992297 | + | 0.123881i | \(0.0395341\pi\) | ||||
−0.992297 | + | 0.123881i | \(0.960466\pi\) | |||||||
\(684\) | 5.80565 | − | 2.33969i | 0.221985 | − | 0.0894602i | ||||
\(685\) | −66.2982 | + | 48.1684i | −2.53312 | + | 1.84042i | ||||
\(686\) | −25.9176 | − | 3.77840i | −0.989540 | − | 0.144260i | ||||
\(687\) | −3.82986 | − | 11.7871i | −0.146118 | − | 0.449706i | ||||
\(688\) | 30.2801 | − | 4.20122i | 1.15442 | − | 0.160170i | ||||
\(689\) | 9.39576 | + | 6.82642i | 0.357950 | + | 0.260066i | ||||
\(690\) | −30.2364 | − | 20.4141i | −1.15108 | − | 0.777151i | ||||
\(691\) | −2.11781 | + | 6.51796i | −0.0805654 | + | 0.247955i | −0.983224 | − | 0.182403i | \(-0.941613\pi\) |
0.902658 | + | 0.430358i | \(0.141613\pi\) | |||||||
\(692\) | 24.6338 | + | 29.4100i | 0.936437 | + | 1.11800i | ||||
\(693\) | −6.60972 | − | 0.177399i | −0.251082 | − | 0.00673884i | ||||
\(694\) | −15.6601 | − | 43.0847i | −0.594448 | − | 1.63547i | ||||
\(695\) | 58.3621 | + | 18.9630i | 2.21380 | + | 0.719307i | ||||
\(696\) | −22.2277 | + | 2.30655i | −0.842540 | + | 0.0874294i | ||||
\(697\) | −12.3580 | − | 8.97863i | −0.468094 | − | 0.340090i | ||||
\(698\) | 1.72971 | + | 2.21594i | 0.0654706 | + | 0.0838747i | ||||
\(699\) | 22.9258 | − | 7.44905i | 0.867134 | − | 0.281749i | ||||
\(700\) | −45.8291 | + | 33.9445i | −1.73218 | + | 1.28298i | ||||
\(701\) | −27.7901 | + | 20.1907i | −1.04962 | + | 0.762592i | −0.972140 | − | 0.234402i | \(-0.924687\pi\) |
−0.0774783 | + | 0.996994i | \(0.524687\pi\) | |||||||
\(702\) | 0.504058 | + | 14.6189i | 0.0190244 | + | 0.551754i | ||||
\(703\) | −25.0197 | −0.943636 | ||||||||
\(704\) | 13.9558 | + | 22.5662i | 0.525981 | + | 0.850496i | ||||
\(705\) | − | 48.7211i | − | 1.83494i | ||||||
\(706\) | −1.74406 | − | 50.5818i | −0.0656384 | − | 1.90367i | ||||
\(707\) | −9.90232 | − | 3.88527i | −0.372415 | − | 0.146121i | ||||
\(708\) | 0.481842 | − | 0.0332673i | 0.0181087 | − | 0.00125026i | ||||
\(709\) | 28.1087 | − | 9.13307i | 1.05564 | − | 0.343000i | 0.270763 | − | 0.962646i | \(-0.412724\pi\) |
0.784881 | + | 0.619647i | \(0.212724\pi\) | |||||||
\(710\) | 54.0595 | − | 42.1976i | 2.02882 | − | 1.58365i | ||||
\(711\) | −2.21993 | + | 3.05547i | −0.0832538 | + | 0.114589i | ||||
\(712\) | −1.84250 | − | 17.7558i | −0.0690507 | − | 0.665428i | ||||
\(713\) | 26.8364 | + | 8.71968i | 1.00503 | + | 0.326554i | ||||
\(714\) | −10.8920 | − | 8.34216i | −0.407625 | − | 0.312197i | ||||
\(715\) | 22.7765 | − | 8.23854i | 0.851794 | − | 0.308104i | ||||
\(716\) | 29.4617 | + | 35.1740i | 1.10104 | + | 1.31451i | ||||
\(717\) | −42.3432 | − | 13.7581i | −1.58134 | − | 0.513807i | ||||
\(718\) | −11.6467 | + | 17.2505i | −0.434649 | + | 0.643782i | ||||
\(719\) | 17.7163 | − | 24.3843i | 0.660705 | − | 0.909382i | −0.338800 | − | 0.940859i | \(-0.610021\pi\) |
0.999504 | + | 0.0314764i | \(0.0100209\pi\) | |||||||
\(720\) | 11.8587 | − | 1.64534i | 0.441948 | − | 0.0613181i | ||||
\(721\) | 17.5727 | − | 21.3758i | 0.654441 | − | 0.796075i | ||||
\(722\) | −0.682840 | + | 2.37739i | −0.0254127 | + | 0.0884774i | ||||
\(723\) | 11.4393 | − | 8.31113i | 0.425432 | − | 0.309094i | ||||
\(724\) | 3.26292 | + | 8.09654i | 0.121266 | + | 0.300906i | ||||
\(725\) | 56.8141 | 2.11002 | ||||||||
\(726\) | −4.94874 | + | 22.7850i | −0.183665 | + | 0.845633i | ||||
\(727\) | − | 7.87256i | − | 0.291977i | −0.989286 | − | 0.145989i | \(-0.953364\pi\) | ||
0.989286 | − | 0.145989i | \(-0.0466363\pi\) | |||||||
\(728\) | −13.2579 | − | 3.67643i | −0.491370 | − | 0.136257i | ||||
\(729\) | −24.2277 | + | 17.6025i | −0.897322 | + | 0.651943i | ||||
\(730\) | 17.5561 | − | 61.1240i | 0.649782 | − | 2.26230i | ||||
\(731\) | −5.77759 | − | 17.7816i | −0.213692 | − | 0.657677i | ||||
\(732\) | 5.07132 | − | 8.09993i | 0.187441 | − | 0.299382i | ||||
\(733\) | 11.0729 | − | 15.2405i | 0.408985 | − | 0.562920i | −0.553985 | − | 0.832526i | \(-0.686894\pi\) |
0.962971 | + | 0.269607i | \(0.0868937\pi\) | |||||||
\(734\) | −2.11004 | + | 3.12530i | −0.0778831 | + | 0.115357i | ||||
\(735\) | 30.5552 | + | 28.3402i | 1.12705 | + | 1.04534i | ||||
\(736\) | −24.1484 | + | 4.20322i | −0.890123 | + | 0.154933i | ||||
\(737\) | 22.2581 | − | 8.05102i | 0.819887 | − | 0.296563i | ||||
\(738\) | −2.27300 | − | 6.25358i | −0.0836703 | − | 0.230197i | ||||
\(739\) | −0.664596 | + | 2.04542i | −0.0244476 | + | 0.0752419i | −0.962536 | − | 0.271154i | \(-0.912595\pi\) |
0.938088 | + | 0.346396i | \(0.112595\pi\) | |||||||
\(740\) | −46.4235 | − | 11.6181i | −1.70656 | − | 0.427090i | ||||
\(741\) | 9.25940 | + | 6.72735i | 0.340153 | + | 0.247135i | ||||
\(742\) | −22.2872 | − | 7.86970i | −0.818190 | − | 0.288906i | ||||
\(743\) | 29.2447 | − | 9.50217i | 1.07288 | − | 0.348601i | 0.281274 | − | 0.959628i | \(-0.409243\pi\) |
0.791610 | + | 0.611027i | \(0.209243\pi\) | |||||||
\(744\) | 25.2351 | − | 11.1955i | 0.925163 | − | 0.410446i | ||||
\(745\) | 61.4046 | − | 44.6131i | 2.24969 | − | 1.63450i | ||||
\(746\) | −25.7005 | + | 0.886151i | −0.940962 | + | 0.0324443i | ||||
\(747\) | 2.81930i | 0.103153i | ||||||||
\(748\) | 12.0906 | − | 10.8236i | 0.442077 | − | 0.395751i | ||||
\(749\) | 22.4812 | − | 14.3646i | 0.821446 | − | 0.524870i | ||||
\(750\) | 48.6181 | − | 1.67635i | 1.77528 | − | 0.0612115i | ||||
\(751\) | 9.06629 | − | 6.58705i | 0.330834 | − | 0.240365i | −0.409951 | − | 0.912108i | \(-0.634454\pi\) |
0.740784 | + | 0.671743i | \(0.234454\pi\) | |||||||
\(752\) | −22.6976 | − | 23.5870i | −0.827696 | − | 0.860131i | ||||
\(753\) | 5.78333 | + | 17.7993i | 0.210756 | + | 0.648641i | ||||
\(754\) | 8.43342 | + | 10.8041i | 0.307127 | + | 0.393462i | ||||
\(755\) | −33.3552 | + | 45.9095i | −1.21392 | + | 1.67082i | ||||
\(756\) | −9.45899 | − | 28.2266i | −0.344020 | − | 1.02659i | ||||
\(757\) | 24.9464 | + | 8.10558i | 0.906692 | + | 0.294602i | 0.724996 | − | 0.688753i | \(-0.241841\pi\) |
0.181696 | + | 0.983355i | \(0.441841\pi\) | |||||||
\(758\) | −30.6128 | + | 11.1269i | −1.11191 | + | 0.404146i | ||||
\(759\) | −17.8333 | − | 12.0805i | −0.647307 | − | 0.438496i | ||||
\(760\) | 23.3850 | − | 40.3807i | 0.848264 | − | 1.46476i | ||||
\(761\) | −5.92010 | + | 18.2202i | −0.214604 | + | 0.660482i | 0.784578 | + | 0.620030i | \(0.212880\pi\) |
−0.999181 | + | 0.0404518i | \(0.987120\pi\) | |||||||
\(762\) | 9.35998 | − | 13.8636i | 0.339076 | − | 0.502224i | ||||
\(763\) | −16.8570 | − | 1.00830i | −0.610264 | − | 0.0365029i | ||||
\(764\) | 6.36476 | + | 3.98494i | 0.230269 | + | 0.144170i | ||||
\(765\) | −2.26270 | − | 6.96388i | −0.0818081 | − | 0.251779i | ||||
\(766\) | −38.1840 | − | 10.9673i | −1.37964 | − | 0.396264i | ||||
\(767\) | −0.174117 | − | 0.239652i | −0.00628700 | − | 0.00865332i | ||||
\(768\) | −14.8308 | + | 18.8453i | −0.535160 | + | 0.680023i | ||||
\(769\) | −5.06939 | −0.182807 | −0.0914035 | − | 0.995814i | \(-0.529135\pi\) | ||||
−0.0914035 | + | 0.995814i | \(0.529135\pi\) | |||||||
\(770\) | −39.6564 | + | 29.2772i | −1.42912 | + | 1.05508i | ||||
\(771\) | 32.1502i | 1.15786i | ||||||||
\(772\) | −21.3315 | + | 8.59662i | −0.767736 | + | 0.309399i | ||||
\(773\) | 30.3848 | − | 22.0759i | 1.09287 | − | 0.794014i | 0.112985 | − | 0.993597i | \(-0.463959\pi\) |
0.979881 | + | 0.199583i | \(0.0639587\pi\) | |||||||
\(774\) | 2.24828 | − | 7.82768i | 0.0808129 | − | 0.281360i | ||||
\(775\) | −66.7515 | + | 21.6889i | −2.39779 | + | 0.779088i | ||||
\(776\) | −1.42685 | − | 0.305258i | −0.0512211 | − | 0.0109581i | ||||
\(777\) | −1.42630 | + | 23.8452i | −0.0511682 | + | 0.855441i | ||||
\(778\) | −8.83674 | + | 13.0886i | −0.316813 | + | 0.469248i | ||||
\(779\) | −24.6648 | − | 8.01408i | −0.883708 | − | 0.287134i | ||||
\(780\) | 14.0567 | + | 16.7821i | 0.503311 | + | 0.600896i | ||||
\(781\) | 31.9563 | − | 24.8644i | 1.14349 | − | 0.889720i | ||||
\(782\) | 5.12109 | + | 14.0894i | 0.183130 | + | 0.503836i | ||||
\(783\) | −9.16425 | + | 28.2047i | −0.327504 | + | 1.00795i | ||||
\(784\) | 27.9953 | − | 0.514540i | 0.999831 | − | 0.0183764i | ||||
\(785\) | −26.7344 | − | 19.4237i | −0.954191 | − | 0.693260i | ||||
\(786\) | 12.5697 | + | 16.1032i | 0.448348 | + | 0.574381i | ||||
\(787\) | −5.45054 | + | 1.77099i | −0.194291 | + | 0.0631288i | −0.404546 | − | 0.914518i | \(-0.632570\pi\) |
0.210255 | + | 0.977646i | \(0.432570\pi\) | |||||||
\(788\) | −26.1982 | + | 1.80878i | −0.933273 | + | 0.0644349i | ||||
\(789\) | 0.00810101 | + | 0.0111501i | 0.000288403 | + | 0.000396953i | ||||
\(790\) | 0.970227 | + | 28.1389i | 0.0345191 | + | 1.00114i | ||||
\(791\) | 35.0869 | − | 22.4191i | 1.24755 | − | 0.797132i | ||||
\(792\) | 7.00306 | − | 0.960543i | 0.248843 | − | 0.0341314i | ||||
\(793\) | −5.86119 | −0.208137 | ||||||||
\(794\) | 47.9086 | − | 1.65188i | 1.70021 | − | 0.0586231i | ||||
\(795\) | 22.1055 | + | 30.4257i | 0.784003 | + | 1.07909i | ||||
\(796\) | 2.86213 | + | 41.4550i | 0.101445 | + | 1.46933i | ||||
\(797\) | 2.91613 | + | 8.97494i | 0.103295 | + | 0.317909i | 0.989326 | − | 0.145716i | \(-0.0465486\pi\) |
−0.886032 | + | 0.463625i | \(0.846549\pi\) | |||||||
\(798\) | −21.9638 | − | 7.75549i | −0.777510 | − | 0.274541i | ||||
\(799\) | −11.7676 | + | 16.1967i | −0.416307 | + | 0.572998i | ||||
\(800\) | 42.4489 | − | 43.7638i | 1.50079 | − | 1.54729i | ||||
\(801\) | −4.52296 | − | 1.46960i | −0.159811 | − | 0.0519257i | ||||
\(802\) | −12.2821 | − | 33.7912i | −0.433698 | − | 1.19321i | ||||
\(803\) | 10.4215 | − | 36.0724i | 0.367768 | − | 1.27297i | ||||
\(804\) | 13.7367 | + | 16.4001i | 0.484458 | + | 0.578388i | ||||
\(805\) | −11.4608 | − | 44.0715i | −0.403941 | − | 1.55332i | ||||
\(806\) | −14.0330 | − | 9.47437i | −0.494291 | − | 0.333720i | ||||
\(807\) | 29.0294 | + | 21.0911i | 1.02188 | + | 0.742442i | ||||
\(808\) | 11.1201 | + | 2.37900i | 0.391203 | + | 0.0836930i | ||||
\(809\) | −6.19588 | + | 2.01316i | −0.217835 | + | 0.0707790i | −0.415902 | − | 0.909410i | \(-0.636534\pi\) |
0.198066 | + | 0.980189i | \(0.436534\pi\) | |||||||
\(810\) | −9.57073 | + | 33.3217i | −0.336281 | + | 1.17081i | ||||
\(811\) | 8.95432 | + | 12.3246i | 0.314429 | + | 0.432774i | 0.936756 | − | 0.349983i | \(-0.113813\pi\) |
−0.622327 | + | 0.782757i | \(0.713813\pi\) | |||||||
\(812\) | −22.7160 | − | 16.1874i | −0.797177 | − | 0.568065i | ||||
\(813\) | −33.5372 | −1.17620 | ||||||||
\(814\) | −27.3984 | − | 6.90213i | −0.960315 | − | 0.241920i | ||||
\(815\) | 8.15675i | 0.285718i | ||||||||
\(816\) | 12.9380 | + | 6.90849i | 0.452919 | + | 0.241846i | ||||
\(817\) | −18.6579 | − | 25.6804i | −0.652758 | − | 0.898444i | ||||
\(818\) | −12.3549 | + | 43.0153i | −0.431981 | + | 1.50400i | ||||
\(819\) | −2.32762 | + | 2.83137i | −0.0813336 | + | 0.0989360i | ||||
\(820\) | −42.0436 | − | 26.3232i | −1.46822 | − | 0.919248i | ||||
\(821\) | 1.39594 | + | 1.01421i | 0.0487186 | + | 0.0353961i | 0.611878 | − | 0.790952i | \(-0.290414\pi\) |
−0.563159 | + | 0.826348i | \(0.690414\pi\) | |||||||
\(822\) | −36.2436 | − | 24.4699i | −1.26414 | − | 0.853485i | ||||
\(823\) | −3.28766 | + | 10.1184i | −0.114601 | + | 0.352705i | −0.991864 | − | 0.127306i | \(-0.959367\pi\) |
0.877263 | + | 0.480010i | \(0.159367\pi\) | |||||||
\(824\) | −14.8250 | + | 25.5994i | −0.516452 | + | 0.891799i | ||||
\(825\) | 53.5481 | − | 1.76296i | 1.86431 | − | 0.0613785i | ||||
\(826\) | 0.478615 | + | 0.366569i | 0.0166532 | + | 0.0127546i | ||||
\(827\) | 14.6133 | − | 44.9750i | 0.508153 | − | 1.56393i | −0.287252 | − | 0.957855i | \(-0.592742\pi\) |
0.795405 | − | 0.606078i | \(-0.207258\pi\) | |||||||
\(828\) | −1.58535 | + | 6.33472i | −0.0550947 | + | 0.220147i | ||||
\(829\) | −15.9603 | − | 11.5958i | −0.554323 | − | 0.402739i | 0.275054 | − | 0.961429i | \(-0.411304\pi\) |
−0.829377 | + | 0.558690i | \(0.811304\pi\) | |||||||
\(830\) | 12.9325 | + | 16.5679i | 0.448894 | + | 0.575080i | ||||
\(831\) | 5.78118 | + | 17.7927i | 0.200547 | + | 0.617220i | ||||
\(832\) | 14.6234 | + | 1.57606i | 0.506976 | + | 0.0546400i | ||||
\(833\) | −3.31269 | − | 16.8013i | −0.114778 | − | 0.582131i | ||||
\(834\) | 1.12843 | + | 32.7272i | 0.0390744 | + | 1.13325i | ||||
\(835\) | 17.3801 | 0.601464 | ||||||||
\(836\) | 13.8439 | − | 23.8199i | 0.478802 | − | 0.823829i | ||||
\(837\) | − | 36.6364i | − | 1.26634i | ||||||
\(838\) | 46.8784 | − | 1.61636i | 1.61939 | − | 0.0558363i | ||||
\(839\) | 15.6326 | + | 21.5164i | 0.539696 | + | 0.742828i | 0.988569 | − | 0.150768i | \(-0.0481745\pi\) |
−0.448873 | + | 0.893595i | \(0.648175\pi\) | |||||||
\(840\) | −37.1520 | − | 24.5892i | −1.28187 | − | 0.848408i | ||||
\(841\) | −0.374692 | − | 1.15318i | −0.0129204 | − | 0.0397650i | ||||
\(842\) | 8.26178 | + | 10.5842i | 0.284720 | + | 0.364755i | ||||
\(843\) | 26.8569 | − | 36.9653i | 0.924999 | − | 1.27315i | ||||
\(844\) | 2.51481 | − | 10.0487i | 0.0865635 | − | 0.345889i | ||||
\(845\) | −11.8080 | + | 36.3412i | −0.406206 | + | 1.25017i | ||||
\(846\) | −8.19608 | + | 2.97904i | −0.281787 | + | 0.102422i | ||||
\(847\) | −23.4406 | + | 17.2493i | −0.805429 | + | 0.592692i | ||||
\(848\) | 24.8761 | + | 4.43153i | 0.854250 | + | 0.152179i | ||||
\(849\) | −8.55841 | − | 2.78080i | −0.293724 | − | 0.0954366i | ||||
\(850\) | −30.9043 | − | 20.8650i | −1.06001 | − | 0.715664i | ||||
\(851\) | 15.3423 | − | 21.1168i | 0.525926 | − | 0.723875i | ||||
\(852\) | 31.0181 | + | 19.4202i | 1.06266 | + | 0.665326i | ||||
\(853\) | −10.4297 | + | 3.38881i | −0.357106 | + | 0.116031i | −0.482075 | − | 0.876130i | \(-0.660117\pi\) |
0.124969 | + | 0.992161i | \(0.460117\pi\) | |||||||
\(854\) | 11.4341 | − | 3.39817i | 0.391268 | − | 0.116283i | ||||
\(855\) | −7.30707 | − | 10.0573i | −0.249896 | − | 0.343953i | ||||
\(856\) | −21.2201 | + | 19.0560i | −0.725289 | + | 0.651320i | ||||
\(857\) | −29.2379 | −0.998747 | −0.499373 | − | 0.866387i | \(-0.666436\pi\) | ||||
−0.499373 | + | 0.866387i | \(0.666436\pi\) | |||||||
\(858\) | 8.28387 | + | 9.92132i | 0.282807 | + | 0.338708i | ||||
\(859\) | −7.60160 | −0.259363 | −0.129682 | − | 0.991556i | \(-0.541396\pi\) | ||||
−0.129682 | + | 0.991556i | \(0.541396\pi\) | |||||||
\(860\) | −22.6944 | − | 56.3134i | −0.773873 | − | 1.92027i | ||||
\(861\) | −9.04393 | + | 23.0501i | −0.308216 | + | 0.785544i | ||||
\(862\) | 46.0702 | + | 13.2324i | 1.56916 | + | 0.450696i | ||||
\(863\) | −8.50663 | − | 26.1807i | −0.289569 | − | 0.891201i | −0.984992 | − | 0.172601i | \(-0.944783\pi\) |
0.695423 | − | 0.718601i | \(-0.255217\pi\) | |||||||
\(864\) | 14.8789 | + | 28.1324i | 0.506191 | + | 0.957084i | ||||
\(865\) | 44.7850 | − | 61.6413i | 1.52274 | − | 2.09587i | ||||
\(866\) | 19.5947 | − | 29.0228i | 0.665856 | − | 0.986235i | ||||
\(867\) | −5.10180 | + | 15.7017i | −0.173266 | + | 0.533259i | ||||
\(868\) | 32.8689 | + | 10.3468i | 1.11564 | + | 0.351194i | ||||
\(869\) | 0.546999 | + | 16.6145i | 0.0185557 | + | 0.563609i | ||||
\(870\) | 15.1614 | + | 41.7129i | 0.514021 | + | 1.41420i | ||||
\(871\) | 4.05453 | − | 12.4786i | 0.137383 | − | 0.422820i | ||||
\(872\) | 17.9567 | − | 1.86334i | 0.608090 | − | 0.0631007i | ||||
\(873\) | −0.228489 | + | 0.314488i | −0.00773317 | + | 0.0106438i | ||||
\(874\) | 15.6608 | + | 20.0631i | 0.529734 | + | 0.678644i | ||||
\(875\) | 46.9056 | + | 38.5603i | 1.58570 | + | 1.30358i | ||||
\(876\) | 33.8559 | − | 2.33748i | 1.14389 | − | 0.0789760i | ||||
\(877\) | 7.68045 | − | 5.58018i | 0.259351 | − | 0.188429i | −0.450510 | − | 0.892771i | \(-0.648758\pi\) |
0.709861 | + | 0.704342i | \(0.248758\pi\) | |||||||
\(878\) | −7.34195 | + | 0.253150i | −0.247779 | + | 0.00854338i | ||||
\(879\) | − | 6.55346i | − | 0.221043i | ||||||
\(880\) | 36.7481 | − | 37.7688i | 1.23878 | − | 1.27318i | ||||
\(881\) | 11.8374i | 0.398813i | 0.979917 | + | 0.199406i | \(0.0639014\pi\) | ||||
−0.979917 | + | 0.199406i | \(0.936099\pi\) | |||||||
\(882\) | 2.89922 | − | 6.87299i | 0.0976217 | − | 0.231426i | ||||
\(883\) | −31.6354 | − | 43.5424i | −1.06462 | − | 1.46532i | −0.875410 | − | 0.483381i | \(-0.839409\pi\) |
−0.189206 | − | 0.981937i | \(-0.560591\pi\) | |||||||
\(884\) | −0.619590 | − | 8.97411i | −0.0208391 | − | 0.301832i | ||||
\(885\) | −0.296424 | − | 0.912299i | −0.00996418 | − | 0.0306666i | ||||
\(886\) | 5.90251 | + | 7.56173i | 0.198299 | + | 0.254041i | ||||
\(887\) | 5.82550 | + | 4.23247i | 0.195601 | + | 0.142112i | 0.681275 | − | 0.732028i | \(-0.261426\pi\) |
−0.485674 | + | 0.874140i | \(0.661426\pi\) | |||||||
\(888\) | −2.63580 | − | 25.4007i | −0.0884518 | − | 0.852393i | ||||
\(889\) | 20.2070 | − | 5.25485i | 0.677722 | − | 0.176242i | ||||
\(890\) | −33.3209 | + | 12.1112i | −1.11692 | + | 0.405968i | ||||
\(891\) | −5.68129 | + | 19.6648i | −0.190330 | + | 0.658797i | ||||
\(892\) | 7.18374 | + | 8.57658i | 0.240530 | + | 0.287165i | ||||
\(893\) | −10.5034 | + | 32.3262i | −0.351484 | + | 1.08176i | ||||
\(894\) | 33.5684 | + | 22.6637i | 1.12270 | + | 0.757988i | ||||
\(895\) | 53.5623 | − | 73.7222i | 1.79039 | − | 2.46426i | ||||
\(896\) | −29.4415 | + | 5.40370i | −0.983570 | + | 0.180525i | ||||
\(897\) | −11.3559 | + | 3.68974i | −0.379161 | + | 0.123197i | ||||
\(898\) | 3.37189 | − | 11.7397i | 0.112522 | − | 0.391758i | ||||
\(899\) | −20.1775 | − | 27.7719i | −0.672956 | − | 0.926244i | ||||
\(900\) | −6.07132 | − | 15.0652i | −0.202377 | − | 0.502174i | ||||
\(901\) | − | 15.4538i | − | 0.514839i | ||||||
\(902\) | −24.7990 | − | 15.5802i | −0.825715 | − | 0.518765i | ||||
\(903\) | −25.5385 | + | 16.3181i | −0.849868 | + | 0.543031i | ||||
\(904\) | −33.1187 | + | 29.7411i | −1.10151 | + | 0.989174i | ||||
\(905\) | 14.0259 | − | 10.1904i | 0.466237 | − | 0.338741i | ||||
\(906\) | −29.1055 | − | 8.35973i | −0.966965 | − | 0.277734i | ||||
\(907\) | −25.7604 | + | 8.37006i | −0.855360 | + | 0.277923i | −0.703689 | − | 0.710508i | \(-0.748465\pi\) |
−0.151671 | + | 0.988431i | \(0.548465\pi\) | |||||||
\(908\) | −22.5969 | + | 36.0918i | −0.749903 | + | 1.19775i | ||||
\(909\) | 1.78071 | − | 2.45094i | 0.0590624 | − | 0.0812925i | ||||
\(910\) | −0.690626 | + | 27.3159i | −0.0228940 | + | 0.905515i | ||||
\(911\) | 5.73175 | − | 17.6405i | 0.189901 | − | 0.584456i | −0.810097 | − | 0.586296i | \(-0.800586\pi\) |
0.999998 | + | 0.00183978i | \(0.000585622\pi\) | |||||||
\(912\) | 24.5151 | + | 4.36721i | 0.811777 | + | 0.144613i | ||||
\(913\) | 7.62034 | + | 9.79381i | 0.252196 | + | 0.324128i | ||||
\(914\) | −6.50971 | + | 2.36609i | −0.215322 | + | 0.0782635i | ||||
\(915\) | −18.0509 | − | 5.86511i | −0.596746 | − | 0.193894i | ||||
\(916\) | −4.01500 | + | 16.0431i | −0.132659 | + | 0.530078i | ||||
\(917\) | −1.52246 | + | 25.4529i | −0.0502761 | + | 0.840527i | ||||
\(918\) | 15.3431 | − | 11.9765i | 0.506398 | − | 0.395283i | ||||
\(919\) | −4.45024 | + | 1.44597i | −0.146800 | + | 0.0476982i | −0.381495 | − | 0.924371i | \(-0.624591\pi\) |
0.234695 | + | 0.972069i | \(0.424591\pi\) | |||||||
\(920\) | 19.7418 | + | 44.4989i | 0.650867 | + | 1.46708i | ||||
\(921\) | 5.28331 | + | 7.27185i | 0.174091 | + | 0.239616i | ||||
\(922\) | 1.93279 | + | 56.0555i | 0.0636530 | + | 1.84609i | ||||
\(923\) | − | 22.4450i | − | 0.738785i | ||||||
\(924\) | −21.9125 | − | 14.5519i | −0.720868 | − | 0.478724i | ||||
\(925\) | 64.9243i | 2.13470i | ||||||||
\(926\) | 10.1169 | − | 0.348830i | 0.332462 | − | 0.0114633i | ||||
\(927\) | 4.63233 | + | 6.37585i | 0.152146 | + | 0.209410i | ||||
\(928\) | 26.7727 | + | 13.1310i | 0.878857 | + | 0.431045i | ||||
\(929\) | 35.2487 | − | 11.4530i | 1.15647 | − | 0.375761i | 0.332895 | − | 0.942964i | \(-0.391975\pi\) |
0.823578 | + | 0.567203i | \(0.191975\pi\) | |||||||
\(930\) | −33.7373 | − | 43.2210i | −1.10629 | − | 1.41727i | ||||
\(931\) | −14.1636 | − | 25.3907i | −0.464193 | − | 0.832148i | ||||
\(932\) | −31.2037 | − | 7.80914i | −1.02211 | − | 0.255797i | ||||
\(933\) | −30.6011 | − | 9.94290i | −1.00183 | − | 0.325516i | ||||
\(934\) | −11.3142 | − | 31.1283i | −0.370213 | − | 1.01855i | ||||
\(935\) | −26.6831 | − | 18.0755i | −0.872629 | − | 0.591133i | ||||
\(936\) | 1.96367 | − | 3.39082i | 0.0641845 | − | 0.110832i | ||||
\(937\) | −14.4127 | + | 44.3576i | −0.470841 | + | 1.44910i | 0.380644 | + | 0.924722i | \(0.375702\pi\) |
−0.851485 | + | 0.524379i | \(0.824298\pi\) | |||||||
\(938\) | −0.674906 | + | 26.6942i | −0.0220365 | + | 0.871595i | ||||
\(939\) | 15.7559 | − | 21.6862i | 0.514175 | − | 0.707701i | ||||
\(940\) | −34.4998 | + | 55.1032i | −1.12526 | + | 1.79727i | ||||
\(941\) | 12.0031 | − | 3.90005i | 0.391290 | − | 0.127138i | −0.106763 | − | 0.994285i | \(-0.534049\pi\) |
0.498053 | + | 0.867147i | \(0.334049\pi\) | |||||||
\(942\) | 4.86810 | − | 16.9489i | 0.158611 | − | 0.552225i | ||||
\(943\) | 21.8885 | − | 15.9030i | 0.712789 | − | 0.517872i | ||||
\(944\) | −0.568516 | − | 0.303571i | −0.0185036 | − | 0.00988040i | ||||
\(945\) | −49.8219 | + | 31.8342i | −1.62071 | + | 1.03557i | ||||
\(946\) | −13.3474 | − | 33.2691i | −0.433962 | − | 1.08167i | ||||
\(947\) | − | 4.87194i | − | 0.158317i | −0.996862 | − | 0.0791583i | \(-0.974777\pi\) | ||
0.996862 | − | 0.0791583i | \(-0.0252233\pi\) | |||||||
\(948\) | −13.9357 | + | 5.61611i | −0.452610 | + | 0.182403i | ||||
\(949\) | −12.2341 | − | 16.8388i | −0.397135 | − | 0.546610i | ||||
\(950\) | −60.8471 | − | 17.4766i | −1.97414 | − | 0.567017i | ||||
\(951\) | −24.3208 | + | 7.90230i | −0.788655 | + | 0.256250i | ||||
\(952\) | 6.41168 | + | 17.1477i | 0.207804 | + | 0.555759i | ||||
\(953\) | 9.29076 | − | 12.7876i | 0.300957 | − | 0.414232i | −0.631577 | − | 0.775313i | \(-0.717592\pi\) |
0.932535 | + | 0.361081i | \(0.117592\pi\) | |||||||
\(954\) | 3.76670 | − | 5.57906i | 0.121951 | − | 0.180629i | ||||
\(955\) | 4.60868 | − | 14.1841i | 0.149134 | − | 0.458986i | ||||
\(956\) | 38.1476 | + | 45.5440i | 1.23378 | + | 1.47300i | ||||
\(957\) | 8.91324 | + | 24.6418i | 0.288124 | + | 0.796556i | ||||
\(958\) | 12.9134 | + | 35.5280i | 0.417214 | + | 1.14786i | ||||
\(959\) | −13.7378 | − | 52.8274i | −0.443617 | − | 1.70589i | ||||
\(960\) | 43.4593 | + | 19.4871i | 1.40264 | + | 0.628942i | ||||
\(961\) | 9.22915 | + | 6.70537i | 0.297714 | + | 0.216302i | ||||
\(962\) | −12.3464 | + | 9.63729i | −0.398063 | + | 0.310719i | ||||
\(963\) | 2.34795 | + | 7.22626i | 0.0756618 | + | 0.232863i | ||||
\(964\) | −18.8229 | + | 1.29957i | −0.606246 | + | 0.0418563i | ||||
\(965\) | 26.8481 | + | 36.9532i | 0.864269 | + | 1.18956i | ||||
\(966\) | 20.0140 | − | 13.7819i | 0.643941 | − | 0.443424i | ||||
\(967\) | 48.4826i | 1.55910i | 0.626343 | + | 0.779548i | \(0.284551\pi\) | ||||
−0.626343 | + | 0.779548i | \(0.715449\pi\) | |||||||
\(968\) | 21.7313 | − | 22.2655i | 0.698470 | − | 0.715640i | ||||
\(969\) | − | 15.2295i | − | 0.489241i | ||||||
\(970\) | 0.0998618 | + | 2.89623i | 0.00320637 | + | 0.0929924i | ||||
\(971\) | −29.6540 | + | 21.5449i | −0.951642 | + | 0.691409i | −0.951195 | − | 0.308591i | \(-0.900142\pi\) |
−0.000447478 | 1.00000i | \(0.500142\pi\) | ||||||||
\(972\) | 15.2185 | − | 1.05072i | 0.488135 | − | 0.0337017i | ||||
\(973\) | −25.9568 | + | 31.5744i | −0.832138 | + | 1.01223i | ||||
\(974\) | −11.8809 | + | 9.27397i | −0.380689 | + | 0.297157i | ||||
\(975\) | 17.4570 | − | 24.0275i | 0.559071 | − | 0.769495i | ||||
\(976\) | −11.4713 | + | 5.56991i | −0.367186 | + | 0.178289i | ||||
\(977\) | −9.39265 | + | 28.9076i | −0.300498 | + | 0.924837i | 0.680821 | + | 0.732449i | \(0.261623\pi\) |
−0.981319 | + | 0.192387i | \(0.938377\pi\) | |||||||
\(978\) | −4.09086 | + | 1.48691i | −0.130811 | + | 0.0475462i | ||||
\(979\) | −19.6842 | + | 7.12003i | −0.629111 | + | 0.227557i | ||||
\(980\) | −14.4898 | − | 53.6889i | −0.462860 | − | 1.71503i | ||||
\(981\) | 1.48622 | − | 4.57411i | 0.0474513 | − | 0.146040i | ||||
\(982\) | −26.8573 | − | 18.1327i | −0.857050 | − | 0.578637i | ||||
\(983\) | −19.3893 | + | 26.6870i | −0.618421 | + | 0.851184i | −0.997237 | − | 0.0742882i | \(-0.976332\pi\) |
0.378815 | + | 0.925472i | \(0.376332\pi\) | |||||||
\(984\) | 5.53771 | − | 25.8847i | 0.176536 | − | 0.825174i | ||||
\(985\) | 16.1169 | + | 49.6026i | 0.513526 | + | 1.58047i | ||||
\(986\) | 5.03467 | − | 17.5288i | 0.160337 | − | 0.558232i | ||||
\(987\) | 30.2099 | + | 11.8532i | 0.961592 | + | 0.377290i | ||||
\(988\) | −5.70862 | − | 14.1652i | −0.181615 | − | 0.450656i | ||||
\(989\) | 33.1156 | 1.05301 | ||||||||
\(990\) | −5.22729 | − | 13.0293i | −0.166134 | − | 0.414098i | ||||
\(991\) | −45.7990 | −1.45485 | −0.727426 | − | 0.686186i | \(-0.759284\pi\) | ||||
−0.727426 | + | 0.686186i | \(0.759284\pi\) | |||||||
\(992\) | −36.4683 | − | 5.20719i | −1.15787 | − | 0.165328i | ||||
\(993\) | 0.539099 | + | 0.742006i | 0.0171078 | + | 0.0235468i | ||||
\(994\) | 13.0130 | + | 43.7861i | 0.412749 | + | 1.38881i | ||||
\(995\) | 78.4891 | − | 25.5027i | 2.48827 | − | 0.808488i | ||||
\(996\) | −5.95182 | + | 9.50627i | −0.188591 | + | 0.301218i | ||||
\(997\) | −13.2615 | + | 18.2529i | −0.419997 | + | 0.578076i | −0.965621 | − | 0.259954i | \(-0.916293\pi\) |
0.545624 | + | 0.838030i | \(0.316293\pi\) | |||||||
\(998\) | −1.30611 | + | 1.93454i | −0.0413441 | + | 0.0612369i | ||||
\(999\) | −32.2309 | − | 10.4724i | −1.01974 | − | 0.331333i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 616.2.bi.c.13.5 | ✓ | 352 | |
7.6 | odd | 2 | inner | 616.2.bi.c.13.6 | yes | 352 | |
8.5 | even | 2 | inner | 616.2.bi.c.13.22 | yes | 352 | |
11.6 | odd | 10 | inner | 616.2.bi.c.237.21 | yes | 352 | |
56.13 | odd | 2 | inner | 616.2.bi.c.13.21 | yes | 352 | |
77.6 | even | 10 | inner | 616.2.bi.c.237.22 | yes | 352 | |
88.61 | odd | 10 | inner | 616.2.bi.c.237.6 | yes | 352 | |
616.237 | even | 10 | inner | 616.2.bi.c.237.5 | yes | 352 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
616.2.bi.c.13.5 | ✓ | 352 | 1.1 | even | 1 | trivial | |
616.2.bi.c.13.6 | yes | 352 | 7.6 | odd | 2 | inner | |
616.2.bi.c.13.21 | yes | 352 | 56.13 | odd | 2 | inner | |
616.2.bi.c.13.22 | yes | 352 | 8.5 | even | 2 | inner | |
616.2.bi.c.237.5 | yes | 352 | 616.237 | even | 10 | inner | |
616.2.bi.c.237.6 | yes | 352 | 88.61 | odd | 10 | inner | |
616.2.bi.c.237.21 | yes | 352 | 11.6 | odd | 10 | inner | |
616.2.bi.c.237.22 | yes | 352 | 77.6 | even | 10 | inner |