Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 403.16 |
Dual form | 403.2.bl.b.126.3 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.24423 | − | 0.999195i | −1.58691 | − | 0.706538i | −0.591871 | − | 0.806033i | \(-0.701611\pi\) |
−0.995038 | + | 0.0994950i | \(0.968277\pi\) | |||||||
\(3\) | 0.330998 | − | 3.14923i | 0.191102 | − | 1.81821i | −0.307687 | − | 0.951488i | \(-0.599555\pi\) |
0.498789 | − | 0.866724i | \(-0.333778\pi\) | |||||||
\(4\) | 2.69991 | + | 2.99855i | 1.34996 | + | 1.49928i | ||||
\(5\) | 2.52374 | 1.12865 | 0.564325 | − | 0.825552i | \(-0.309136\pi\) | ||||
0.564325 | + | 0.825552i | \(0.309136\pi\) | |||||||
\(6\) | −3.88953 | + | 6.73687i | −1.58790 | + | 2.75032i | ||||
\(7\) | 2.19826 | + | 2.44142i | 0.830865 | + | 0.922769i | 0.998003 | − | 0.0631644i | \(-0.0201192\pi\) |
−0.167138 | + | 0.985933i | \(0.553453\pi\) | |||||||
\(8\) | −1.54481 | − | 4.75442i | −0.546171 | − | 1.68094i | ||||
\(9\) | −6.87367 | − | 1.46104i | −2.29122 | − | 0.487015i | ||||
\(10\) | −5.66385 | − | 2.52171i | −1.79107 | − | 0.797434i | ||||
\(11\) | 3.84030 | − | 0.816280i | 1.15789 | − | 0.246118i | 0.411364 | − | 0.911471i | \(-0.365052\pi\) |
0.746528 | + | 0.665353i | \(0.231719\pi\) | |||||||
\(12\) | 10.3368 | − | 7.51014i | 2.98398 | − | 2.16799i | ||||
\(13\) | −3.53198 | + | 0.724642i | −0.979595 | + | 0.200980i | ||||
\(14\) | −2.49395 | − | 7.67559i | −0.666536 | − | 2.05139i | ||||
\(15\) | 0.835352 | − | 7.94785i | 0.215687 | − | 2.05213i | ||||
\(16\) | −0.440163 | + | 4.18787i | −0.110041 | + | 1.04697i | ||||
\(17\) | 5.56681 | + | 1.18326i | 1.35015 | + | 0.286983i | 0.825532 | − | 0.564355i | \(-0.190875\pi\) |
0.524618 | + | 0.851338i | \(0.324208\pi\) | |||||||
\(18\) | 13.9662 | + | 10.1471i | 3.29187 | + | 2.39168i | ||||
\(19\) | −0.647823 | − | 6.16362i | −0.148621 | − | 1.41403i | −0.773741 | − | 0.633503i | \(-0.781617\pi\) |
0.625120 | − | 0.780529i | \(-0.285050\pi\) | |||||||
\(20\) | 6.81387 | + | 7.56757i | 1.52363 | + | 1.69216i | ||||
\(21\) | 8.41622 | − | 6.11474i | 1.83657 | − | 1.33435i | ||||
\(22\) | −9.43412 | − | 2.00528i | −2.01136 | − | 0.427528i | ||||
\(23\) | 2.09597 | − | 2.32781i | 0.437040 | − | 0.485383i | −0.483879 | − | 0.875135i | \(-0.660773\pi\) |
0.920920 | + | 0.389752i | \(0.127439\pi\) | |||||||
\(24\) | −15.4841 | + | 3.29125i | −3.16068 | + | 0.671824i | ||||
\(25\) | 1.36926 | 0.273853 | ||||||||
\(26\) | 8.65063 | + | 1.90288i | 1.69653 | + | 0.373185i | ||||
\(27\) | −3.94076 | + | 12.1284i | −0.758400 | + | 2.33411i | ||||
\(28\) | −1.38561 | + | 13.1832i | −0.261856 | + | 2.49139i | ||||
\(29\) | −4.89981 | − | 2.18154i | −0.909872 | − | 0.405101i | −0.102221 | − | 0.994762i | \(-0.532595\pi\) |
−0.807651 | + | 0.589661i | \(0.799262\pi\) | |||||||
\(30\) | −9.81617 | + | 17.0021i | −1.79218 | + | 3.10415i | ||||
\(31\) | −0.816937 | − | 5.50751i | −0.146726 | − | 0.989177i | ||||
\(32\) | 0.173233 | − | 0.300048i | 0.0306235 | − | 0.0530415i | ||||
\(33\) | −1.29953 | − | 12.3642i | −0.226219 | − | 2.15233i | ||||
\(34\) | −11.3109 | − | 8.21784i | −1.93980 | − | 1.40935i | ||||
\(35\) | 5.54784 | + | 6.16150i | 0.937756 | + | 1.04148i | ||||
\(36\) | −14.1773 | − | 24.5558i | −2.36288 | − | 4.09263i | ||||
\(37\) | −1.06714 | − | 1.84835i | −0.175437 | − | 0.303866i | 0.764875 | − | 0.644178i | \(-0.222801\pi\) |
−0.940313 | + | 0.340312i | \(0.889467\pi\) | |||||||
\(38\) | −4.70480 | + | 14.4799i | −0.763219 | + | 2.34895i | ||||
\(39\) | 1.11299 | + | 11.3629i | 0.178221 | + | 1.81952i | ||||
\(40\) | −3.89869 | − | 11.9989i | −0.616436 | − | 1.89720i | ||||
\(41\) | 4.14724 | + | 1.84647i | 0.647690 | + | 0.288370i | 0.704168 | − | 0.710034i | \(-0.251320\pi\) |
−0.0564775 | + | 0.998404i | \(0.517987\pi\) | |||||||
\(42\) | −24.9977 | + | 5.31343i | −3.85723 | + | 0.819880i | ||||
\(43\) | 0.898527 | + | 8.54892i | 0.137024 | + | 1.30370i | 0.819623 | + | 0.572904i | \(0.194183\pi\) |
−0.682598 | + | 0.730794i | \(0.739150\pi\) | |||||||
\(44\) | 12.8161 | + | 9.31145i | 1.93210 | + | 1.40375i | ||||
\(45\) | −17.3474 | − | 3.68730i | −2.58599 | − | 0.549670i | ||||
\(46\) | −7.02978 | + | 3.12986i | −1.03648 | + | 0.461473i | ||||
\(47\) | −1.19236 | − | 0.866298i | −0.173923 | − | 0.126363i | 0.497418 | − | 0.867511i | \(-0.334282\pi\) |
−0.671341 | + | 0.741148i | \(0.734282\pi\) | |||||||
\(48\) | 13.0429 | + | 2.77235i | 1.88258 | + | 0.400155i | ||||
\(49\) | −0.396464 | + | 3.77210i | −0.0566377 | + | 0.538871i | ||||
\(50\) | −3.07294 | − | 1.36816i | −0.434579 | − | 0.193487i | ||||
\(51\) | 5.56897 | − | 17.1395i | 0.779812 | − | 2.40002i | ||||
\(52\) | −11.7089 | − | 8.63437i | −1.62373 | − | 1.19737i | ||||
\(53\) | −0.444540 | − | 1.36815i | −0.0610623 | − | 0.187930i | 0.915872 | − | 0.401470i | \(-0.131501\pi\) |
−0.976934 | + | 0.213540i | \(0.931501\pi\) | |||||||
\(54\) | 20.9626 | − | 23.2813i | 2.85265 | − | 3.16819i | ||||
\(55\) | 9.69191 | − | 2.06008i | 1.30686 | − | 0.277781i | ||||
\(56\) | 8.21164 | − | 14.2230i | 1.09733 | − | 1.90063i | ||||
\(57\) | −19.6251 | −2.59941 | ||||||||
\(58\) | 8.81652 | + | 9.79173i | 1.15767 | + | 1.28572i | ||||
\(59\) | −1.04502 | + | 0.465271i | −0.136049 | + | 0.0605731i | −0.473632 | − | 0.880723i | \(-0.657057\pi\) |
0.337583 | + | 0.941296i | \(0.390391\pi\) | |||||||
\(60\) | 26.0874 | − | 18.9536i | 3.36787 | − | 2.44690i | ||||
\(61\) | −3.47284 | + | 6.01514i | −0.444652 | + | 0.770160i | −0.998028 | − | 0.0627717i | \(-0.980006\pi\) |
0.553376 | + | 0.832932i | \(0.313339\pi\) | |||||||
\(62\) | −3.66968 | + | 13.1764i | −0.466050 | + | 1.67340i | ||||
\(63\) | −11.5431 | − | 19.9933i | −1.45430 | − | 2.51891i | ||||
\(64\) | 6.12486 | − | 4.44997i | 0.765608 | − | 0.556247i | ||||
\(65\) | −8.91380 | + | 1.82881i | −1.10562 | + | 0.226836i | ||||
\(66\) | −9.43779 | + | 29.0465i | −1.16171 | + | 3.57538i | ||||
\(67\) | 2.51100 | + | 4.34918i | 0.306767 | + | 0.531337i | 0.977653 | − | 0.210224i | \(-0.0674193\pi\) |
−0.670886 | + | 0.741561i | \(0.734086\pi\) | |||||||
\(68\) | 11.4818 | + | 19.8871i | 1.39237 | + | 2.41166i | ||||
\(69\) | −6.63707 | − | 7.37121i | −0.799009 | − | 0.887389i | ||||
\(70\) | −6.29408 | − | 19.3712i | −0.752287 | − | 2.31530i | ||||
\(71\) | 5.62512 | + | 1.19566i | 0.667579 | + | 0.141898i | 0.529221 | − | 0.848484i | \(-0.322484\pi\) |
0.138358 | + | 0.990382i | \(0.455818\pi\) | |||||||
\(72\) | 3.67207 | + | 34.9374i | 0.432757 | + | 4.11741i | ||||
\(73\) | −0.0104956 | + | 0.0323021i | −0.00122842 | + | 0.00378068i | −0.951669 | − | 0.307126i | \(-0.900633\pi\) |
0.950440 | + | 0.310907i | \(0.100633\pi\) | |||||||
\(74\) | 0.548055 | + | 5.21440i | 0.0637101 | + | 0.606161i | ||||
\(75\) | 0.453223 | − | 4.31213i | 0.0523337 | − | 0.497922i | ||||
\(76\) | 16.7329 | − | 18.5838i | 1.91939 | − | 2.13170i | ||||
\(77\) | 10.4349 | + | 7.58137i | 1.18916 | + | 0.863977i | ||||
\(78\) | 8.85594 | − | 26.6130i | 1.00274 | − | 3.01333i | ||||
\(79\) | 3.47599 | + | 10.6980i | 0.391079 | + | 1.20362i | 0.931973 | + | 0.362528i | \(0.118086\pi\) |
−0.540894 | + | 0.841091i | \(0.681914\pi\) | |||||||
\(80\) | −1.11086 | + | 10.5691i | −0.124198 | + | 1.18166i | ||||
\(81\) | 17.6317 | + | 7.85015i | 1.95908 | + | 0.872239i | ||||
\(82\) | −7.46237 | − | 8.28781i | −0.824081 | − | 0.915235i | ||||
\(83\) | −5.20158 | + | 3.77917i | −0.570947 | + | 0.414818i | −0.835449 | − | 0.549568i | \(-0.814792\pi\) |
0.264502 | + | 0.964385i | \(0.414792\pi\) | |||||||
\(84\) | 41.0584 | + | 8.72723i | 4.47984 | + | 0.952219i | ||||
\(85\) | 14.0492 | + | 2.98625i | 1.52385 | + | 0.323904i | ||||
\(86\) | 6.52553 | − | 20.0835i | 0.703666 | − | 2.16566i | ||||
\(87\) | −8.49200 | + | 14.7086i | −0.910438 | + | 1.57692i | ||||
\(88\) | −9.81345 | − | 16.9974i | −1.04612 | − | 1.81193i | ||||
\(89\) | 10.0476 | − | 2.13568i | 1.06504 | − | 0.226382i | 0.358123 | − | 0.933675i | \(-0.383417\pi\) |
0.706921 | + | 0.707292i | \(0.250084\pi\) | |||||||
\(90\) | 35.2471 | + | 25.6085i | 3.71537 | + | 2.69938i | ||||
\(91\) | −9.53338 | − | 7.03009i | −0.999369 | − | 0.736953i | ||||
\(92\) | 12.6390 | 1.31771 | ||||||||
\(93\) | −17.6148 | + | 0.749753i | −1.82657 | + | 0.0777458i | ||||
\(94\) | 1.81032 | + | 3.13557i | 0.186720 | + | 0.323409i | ||||
\(95\) | −1.63494 | − | 15.5554i | −0.167741 | − | 1.59595i | ||||
\(96\) | −0.887582 | − | 0.644866i | −0.0905884 | − | 0.0658163i | ||||
\(97\) | −0.433073 | − | 0.480976i | −0.0439719 | − | 0.0488357i | 0.720758 | − | 0.693187i | \(-0.243794\pi\) |
−0.764729 | + | 0.644351i | \(0.777127\pi\) | |||||||
\(98\) | 4.65882 | − | 8.06931i | 0.470612 | − | 0.815123i | ||||
\(99\) | −27.5896 | −2.77285 | ||||||||
\(100\) | 3.69689 | + | 4.10581i | 0.369689 | + | 0.410581i | ||||
\(101\) | 1.39320 | − | 1.54731i | 0.138629 | − | 0.153963i | −0.669833 | − | 0.742512i | \(-0.733634\pi\) |
0.808461 | + | 0.588549i | \(0.200301\pi\) | |||||||
\(102\) | −29.6238 | + | 32.9006i | −2.93319 | + | 3.25764i | ||||
\(103\) | −12.2263 | + | 8.88294i | −1.20469 | + | 0.875262i | −0.994738 | − | 0.102449i | \(-0.967332\pi\) |
−0.209957 | + | 0.977711i | \(0.567332\pi\) | |||||||
\(104\) | 8.90148 | + | 15.6731i | 0.872862 | + | 1.53687i | ||||
\(105\) | 21.2403 | − | 15.4320i | 2.07284 | − | 1.50601i | ||||
\(106\) | −0.369403 | + | 3.51463i | −0.0358796 | + | 0.341371i | ||||
\(107\) | 0.613102 | − | 0.680919i | 0.0592708 | − | 0.0658269i | −0.712780 | − | 0.701387i | \(-0.752564\pi\) |
0.772051 | + | 0.635561i | \(0.219231\pi\) | |||||||
\(108\) | −47.0074 | + | 20.9290i | −4.52329 | + | 2.01390i | ||||
\(109\) | −8.05142 | − | 5.84970i | −0.771186 | − | 0.560299i | 0.131135 | − | 0.991365i | \(-0.458138\pi\) |
−0.902321 | + | 0.431065i | \(0.858138\pi\) | |||||||
\(110\) | −23.8093 | − | 5.06082i | −2.27013 | − | 0.482530i | ||||
\(111\) | −6.17410 | + | 2.74889i | −0.586020 | + | 0.260913i | ||||
\(112\) | −11.1919 | + | 8.13142i | −1.05754 | + | 0.768347i | ||||
\(113\) | −0.936103 | − | 1.03965i | −0.0880612 | − | 0.0978019i | 0.697504 | − | 0.716581i | \(-0.254294\pi\) |
−0.785565 | + | 0.618779i | \(0.787627\pi\) | |||||||
\(114\) | 44.0432 | + | 19.6093i | 4.12503 | + | 1.83658i | ||||
\(115\) | 5.28969 | − | 5.87479i | 0.493266 | − | 0.547827i | ||||
\(116\) | −6.68760 | − | 20.5823i | −0.620928 | − | 1.91102i | ||||
\(117\) | 25.3364 | + | 0.179428i | 2.34235 | + | 0.0165881i | ||||
\(118\) | 2.81015 | 0.258695 | ||||||||
\(119\) | 9.34848 | + | 16.1920i | 0.856973 | + | 1.48432i | ||||
\(120\) | −39.0779 | + | 8.30626i | −3.56731 | + | 0.758254i | ||||
\(121\) | 4.03255 | − | 1.79541i | 0.366596 | − | 0.163219i | ||||
\(122\) | 13.8042 | − | 10.0293i | 1.24977 | − | 0.908011i | ||||
\(123\) | 7.18770 | − | 12.4495i | 0.648093 | − | 1.12253i | ||||
\(124\) | 14.3089 | − | 17.3194i | 1.28498 | − | 1.55533i | ||||
\(125\) | −9.16304 | −0.819567 | ||||||||
\(126\) | 5.92822 | + | 56.4033i | 0.528128 | + | 5.02480i | ||||
\(127\) | −1.70485 | + | 16.2206i | −0.151281 | + | 1.43935i | 0.610760 | + | 0.791816i | \(0.290864\pi\) |
−0.762041 | + | 0.647529i | \(0.775802\pi\) | |||||||
\(128\) | −18.8698 | + | 4.01089i | −1.66787 | + | 0.354516i | ||||
\(129\) | 27.2199 | 2.39658 | ||||||||
\(130\) | 21.8319 | + | 4.80236i | 1.91479 | + | 0.421195i | ||||
\(131\) | −0.998259 | + | 3.07233i | −0.0872183 | + | 0.268430i | −0.985148 | − | 0.171709i | \(-0.945071\pi\) |
0.897929 | + | 0.440140i | \(0.145071\pi\) | |||||||
\(132\) | 33.5660 | − | 37.2789i | 2.92155 | − | 3.24471i | ||||
\(133\) | 13.6239 | − | 15.1309i | 1.18134 | − | 1.31201i | ||||
\(134\) | −1.28958 | − | 12.2695i | −0.111403 | − | 1.05993i | ||||
\(135\) | −9.94545 | + | 30.6090i | −0.855968 | + | 2.63440i | ||||
\(136\) | −2.97391 | − | 28.2949i | −0.255011 | − | 2.42627i | ||||
\(137\) | 10.5199 | − | 4.68374i | 0.898772 | − | 0.400159i | 0.0952632 | − | 0.995452i | \(-0.469631\pi\) |
0.803509 | + | 0.595293i | \(0.202964\pi\) | |||||||
\(138\) | 7.52982 | + | 23.1744i | 0.640981 | + | 1.97274i | ||||
\(139\) | 10.5647 | − | 4.70370i | 0.896085 | − | 0.398963i | 0.0935823 | − | 0.995612i | \(-0.470168\pi\) |
0.802502 | + | 0.596649i | \(0.203502\pi\) | |||||||
\(140\) | −3.49692 | + | 33.2710i | −0.295544 | + | 2.81191i | ||||
\(141\) | −3.12284 | + | 3.46827i | −0.262991 | + | 0.292081i | ||||
\(142\) | −11.4294 | − | 8.30391i | −0.959130 | − | 0.696849i | ||||
\(143\) | −12.9723 | + | 5.66593i | −1.08480 | + | 0.473808i | ||||
\(144\) | 9.14420 | − | 28.1430i | 0.762017 | − | 2.34525i | ||||
\(145\) | −12.3658 | − | 5.50563i | −1.02693 | − | 0.457218i | ||||
\(146\) | 0.0558306 | − | 0.0620062i | 0.00462057 | − | 0.00513167i | ||||
\(147\) | 11.7480 | + | 2.49711i | 0.968958 | + | 0.205958i | ||||
\(148\) | 2.66118 | − | 8.19026i | 0.218747 | − | 0.673235i | ||||
\(149\) | 8.61901 | − | 14.9286i | 0.706097 | − | 1.22300i | −0.260197 | − | 0.965555i | \(-0.583788\pi\) |
0.966294 | − | 0.257440i | \(-0.0828790\pi\) | |||||||
\(150\) | −5.32580 | + | 9.22455i | −0.434849 | + | 0.753181i | ||||
\(151\) | −0.669584 | + | 2.06077i | −0.0544900 | + | 0.167703i | −0.974598 | − | 0.223962i | \(-0.928101\pi\) |
0.920108 | + | 0.391665i | \(0.128101\pi\) | |||||||
\(152\) | −28.3037 | + | 12.6016i | −2.29573 | + | 1.02213i | ||||
\(153\) | −36.5356 | − | 16.2667i | −2.95373 | − | 1.31509i | ||||
\(154\) | −15.8429 | − | 27.4408i | −1.27666 | − | 2.21124i | ||||
\(155\) | −2.06174 | − | 13.8995i | −0.165603 | − | 1.11644i | ||||
\(156\) | −31.0673 | + | 34.0162i | −2.48737 | + | 2.72347i | ||||
\(157\) | −8.93488 | + | 6.49157i | −0.713081 | + | 0.518084i | −0.884166 | − | 0.467173i | \(-0.845273\pi\) |
0.171085 | + | 0.985256i | \(0.445273\pi\) | |||||||
\(158\) | 2.88847 | − | 27.4819i | 0.229794 | − | 2.18635i | ||||
\(159\) | −4.45578 | + | 0.947105i | −0.353366 | + | 0.0751103i | ||||
\(160\) | 0.437194 | − | 0.757243i | 0.0345633 | − | 0.0598653i | ||||
\(161\) | 10.2907 | 0.811018 | ||||||||
\(162\) | −31.7258 | − | 35.2351i | −2.49261 | − | 2.76833i | ||||
\(163\) | 1.74969 | + | 0.371908i | 0.137046 | + | 0.0291301i | 0.275924 | − | 0.961179i | \(-0.411016\pi\) |
−0.138878 | + | 0.990310i | \(0.544350\pi\) | |||||||
\(164\) | 5.66044 | + | 17.4210i | 0.442006 | + | 1.36035i | ||||
\(165\) | −3.27967 | − | 31.2040i | −0.255322 | − | 2.42923i | ||||
\(166\) | 15.4497 | − | 3.28393i | 1.19913 | − | 0.254882i | ||||
\(167\) | 7.06594 | + | 3.14596i | 0.546778 | + | 0.243441i | 0.661486 | − | 0.749958i | \(-0.269926\pi\) |
−0.114707 | + | 0.993399i | \(0.536593\pi\) | |||||||
\(168\) | −42.0735 | − | 30.5682i | −3.24604 | − | 2.35838i | ||||
\(169\) | 11.9498 | − | 5.11885i | 0.919214 | − | 0.393757i | ||||
\(170\) | −28.5457 | − | 20.7397i | −2.18936 | − | 1.59066i | ||||
\(171\) | −4.55240 | + | 43.3132i | −0.348131 | + | 3.31224i | ||||
\(172\) | −23.2084 | + | 25.7756i | −1.76963 | + | 1.96537i | ||||
\(173\) | 9.08125 | − | 4.04324i | 0.690435 | − | 0.307401i | −0.0313602 | − | 0.999508i | \(-0.509984\pi\) |
0.721795 | + | 0.692107i | \(0.243317\pi\) | |||||||
\(174\) | 33.7547 | − | 24.5242i | 2.55894 | − | 1.85918i | ||||
\(175\) | 3.01000 | + | 3.34294i | 0.227535 | + | 0.252703i | ||||
\(176\) | 1.72812 | + | 16.4420i | 0.130262 | + | 1.23936i | ||||
\(177\) | 1.11935 | + | 3.44500i | 0.0841354 | + | 0.258942i | ||||
\(178\) | −24.6831 | − | 5.24655i | −1.85008 | − | 0.393246i | ||||
\(179\) | −9.08272 | + | 1.93059i | −0.678874 | + | 0.144299i | −0.534429 | − | 0.845214i | \(-0.679473\pi\) |
−0.144446 | + | 0.989513i | \(0.546140\pi\) | |||||||
\(180\) | −35.7798 | − | 61.9724i | −2.66687 | − | 4.61915i | ||||
\(181\) | −25.5096 | −1.89611 | −0.948056 | − | 0.318103i | \(-0.896954\pi\) | ||||
−0.948056 | + | 0.318103i | \(0.896954\pi\) | |||||||
\(182\) | 14.3706 | + | 25.3028i | 1.06522 | + | 1.87557i | ||||
\(183\) | 17.7936 | + | 12.9278i | 1.31534 | + | 0.955650i | ||||
\(184\) | −14.3053 | − | 6.36912i | −1.05460 | − | 0.469538i | ||||
\(185\) | −2.69319 | − | 4.66475i | −0.198007 | − | 0.342959i | ||||
\(186\) | 40.2809 | + | 15.9180i | 2.95354 | + | 1.16717i | ||||
\(187\) | 22.3441 | 1.63396 | ||||||||
\(188\) | −0.621616 | − | 5.91428i | −0.0453360 | − | 0.431343i | ||||
\(189\) | −38.2733 | + | 17.0404i | −2.78398 | + | 1.23951i | ||||
\(190\) | −11.8737 | + | 36.5434i | −0.861407 | + | 2.65114i | ||||
\(191\) | 0.322495 | − | 0.558577i | 0.0233349 | − | 0.0404172i | −0.854122 | − | 0.520072i | \(-0.825905\pi\) |
0.877457 | + | 0.479655i | \(0.159238\pi\) | |||||||
\(192\) | −11.9867 | − | 20.7616i | −0.865065 | − | 1.49834i | ||||
\(193\) | 2.76554 | − | 0.587834i | 0.199068 | − | 0.0423132i | −0.107298 | − | 0.994227i | \(-0.534220\pi\) |
0.306367 | + | 0.951914i | \(0.400887\pi\) | |||||||
\(194\) | 0.491325 | + | 1.51214i | 0.0352751 | + | 0.108566i | ||||
\(195\) | 2.80890 | + | 28.6770i | 0.201149 | + | 2.05360i | ||||
\(196\) | −12.3813 | + | 8.99551i | −0.884376 | + | 0.642537i | ||||
\(197\) | 0.485277 | − | 0.103149i | 0.0345746 | − | 0.00734905i | −0.190592 | − | 0.981669i | \(-0.561041\pi\) |
0.225166 | + | 0.974320i | \(0.427707\pi\) | |||||||
\(198\) | 61.9173 | + | 27.5673i | 4.40027 | + | 1.95913i | ||||
\(199\) | −20.5458 | + | 9.14760i | −1.45646 | + | 0.648456i | −0.973811 | − | 0.227360i | \(-0.926991\pi\) |
−0.482646 | + | 0.875816i | \(0.660324\pi\) | |||||||
\(200\) | −2.11524 | − | 6.51005i | −0.149570 | − | 0.460330i | ||||
\(201\) | 14.5277 | − | 6.46816i | 1.02471 | − | 0.456229i | ||||
\(202\) | −4.67272 | + | 2.08043i | −0.328772 | + | 0.146379i | ||||
\(203\) | −5.44503 | − | 16.7581i | −0.382166 | − | 1.17619i | ||||
\(204\) | 66.4296 | − | 29.5763i | 4.65100 | − | 2.07076i | ||||
\(205\) | 10.4666 | + | 4.66001i | 0.731016 | + | 0.325469i | ||||
\(206\) | 36.3144 | − | 7.71887i | 2.53015 | − | 0.537799i | ||||
\(207\) | −17.8081 | + | 12.9383i | −1.23775 | + | 0.899275i | ||||
\(208\) | −1.48006 | − | 15.1104i | −0.102624 | − | 1.04772i | ||||
\(209\) | −7.51907 | − | 23.1413i | −0.520105 | − | 1.60072i | ||||
\(210\) | −63.0878 | + | 13.4097i | −4.35347 | + | 0.925358i | ||||
\(211\) | −11.9052 | − | 20.6203i | −0.819585 | − | 1.41956i | −0.905988 | − | 0.423303i | \(-0.860871\pi\) |
0.0864029 | − | 0.996260i | \(-0.472463\pi\) | |||||||
\(212\) | 2.90227 | − | 5.02687i | 0.199328 | − | 0.345247i | ||||
\(213\) | 5.62730 | − | 17.3191i | 0.385576 | − | 1.18668i | ||||
\(214\) | −2.05631 | + | 0.915529i | −0.140567 | + | 0.0625843i | ||||
\(215\) | 2.26765 | + | 21.5752i | 0.154652 | + | 1.47142i | ||||
\(216\) | 63.7513 | 4.33773 | ||||||||
\(217\) | 11.6503 | − | 14.1014i | 0.790872 | − | 0.957267i | ||||
\(218\) | 12.2242 | + | 21.1730i | 0.827930 | + | 1.43402i | ||||
\(219\) | 0.0982529 | + | 0.0437450i | 0.00663932 | + | 0.00295601i | ||||
\(220\) | 32.3445 | + | 23.4997i | 2.18067 | + | 1.58435i | ||||
\(221\) | −20.5193 | − | 0.145314i | −1.38028 | − | 0.00977489i | ||||
\(222\) | 16.6028 | 1.11430 | ||||||||
\(223\) | 7.23151 | + | 12.5253i | 0.484258 | + | 0.838759i | 0.999836 | − | 0.0180830i | \(-0.00575633\pi\) |
−0.515579 | + | 0.856842i | \(0.672423\pi\) | |||||||
\(224\) | 1.11335 | − | 0.236651i | 0.0743890 | − | 0.0158119i | ||||
\(225\) | −9.41187 | − | 2.00055i | −0.627458 | − | 0.133370i | ||||
\(226\) | 1.06202 | + | 3.26856i | 0.0706444 | + | 0.217421i | ||||
\(227\) | 0.478216 | + | 4.54993i | 0.0317403 | + | 0.301989i | 0.998863 | + | 0.0476779i | \(0.0151821\pi\) |
−0.967122 | + | 0.254311i | \(0.918151\pi\) | |||||||
\(228\) | −52.9860 | − | 58.8470i | −3.50909 | − | 3.89724i | ||||
\(229\) | −11.5514 | + | 8.39256i | −0.763336 | + | 0.554596i | −0.899932 | − | 0.436031i | \(-0.856384\pi\) |
0.136596 | + | 0.990627i | \(0.456384\pi\) | |||||||
\(230\) | −17.7413 | + | 7.89895i | −1.16983 | + | 0.520841i | ||||
\(231\) | 27.3294 | − | 30.3524i | 1.79814 | − | 1.99704i | ||||
\(232\) | −2.80269 | + | 26.6658i | −0.184006 | + | 1.75070i | ||||
\(233\) | 8.32842 | + | 6.05095i | 0.545613 | + | 0.396411i | 0.826165 | − | 0.563428i | \(-0.190518\pi\) |
−0.280552 | + | 0.959839i | \(0.590518\pi\) | |||||||
\(234\) | −56.6814 | − | 25.7187i | −3.70538 | − | 1.68128i | ||||
\(235\) | −3.00920 | − | 2.18631i | −0.196299 | − | 0.142619i | ||||
\(236\) | −4.21659 | − | 1.87735i | −0.274477 | − | 0.122205i | ||||
\(237\) | 34.8410 | − | 7.40569i | 2.26317 | − | 0.481051i | ||||
\(238\) | −4.80112 | − | 45.6796i | −0.311210 | − | 2.96097i | ||||
\(239\) | 7.07114 | + | 21.7627i | 0.457394 | + | 1.40771i | 0.868301 | + | 0.496038i | \(0.165212\pi\) |
−0.410907 | + | 0.911677i | \(0.634788\pi\) | |||||||
\(240\) | 32.9169 | + | 6.99670i | 2.12478 | + | 0.451635i | ||||
\(241\) | 19.9024 | + | 22.1039i | 1.28203 | + | 1.42384i | 0.854172 | + | 0.519991i | \(0.174065\pi\) |
0.427857 | + | 0.903846i | \(0.359269\pi\) | |||||||
\(242\) | −10.8439 | −0.697075 | ||||||||
\(243\) | 11.4292 | − | 19.7959i | 0.733182 | − | 1.26991i | ||||
\(244\) | −27.4131 | + | 5.82683i | −1.75494 | + | 0.373025i | ||||
\(245\) | −1.00057 | + | 9.51980i | −0.0639241 | + | 0.608197i | ||||
\(246\) | −28.5703 | + | 20.7575i | −1.82157 | + | 1.32345i | ||||
\(247\) | 6.75452 | + | 21.3004i | 0.429780 | + | 1.35531i | ||||
\(248\) | −24.9230 | + | 12.3921i | −1.58261 | + | 0.786898i | ||||
\(249\) | 10.1798 | + | 17.6319i | 0.645117 | + | 1.11738i | ||||
\(250\) | 20.5639 | + | 9.15566i | 1.30058 | + | 0.579055i | ||||
\(251\) | −21.1547 | + | 9.41868i | −1.33527 | + | 0.594502i | −0.945263 | − | 0.326309i | \(-0.894195\pi\) |
−0.390010 | + | 0.920811i | \(0.627529\pi\) | |||||||
\(252\) | 28.7855 | − | 88.5927i | 1.81332 | − | 5.58082i | ||||
\(253\) | 6.14900 | − | 10.6504i | 0.386585 | − | 0.669584i | ||||
\(254\) | 20.0336 | − | 34.6992i | 1.25702 | − | 2.17722i | ||||
\(255\) | 14.0546 | − | 43.2557i | 0.880136 | − | 2.70878i | ||||
\(256\) | 31.5451 | + | 6.70513i | 1.97157 | + | 0.419070i | ||||
\(257\) | −9.41316 | + | 10.4544i | −0.587177 | + | 0.652126i | −0.961381 | − | 0.275220i | \(-0.911249\pi\) |
0.374205 | + | 0.927346i | \(0.377916\pi\) | |||||||
\(258\) | −61.0878 | − | 27.1980i | −3.80316 | − | 1.69328i | ||||
\(259\) | 2.16673 | − | 6.66849i | 0.134634 | − | 0.414360i | ||||
\(260\) | −29.5503 | − | 21.7909i | −1.83263 | − | 1.35141i | ||||
\(261\) | 30.4924 | + | 22.1540i | 1.88743 | + | 1.37130i | ||||
\(262\) | 5.31018 | − | 5.89755i | 0.328064 | − | 0.364352i | ||||
\(263\) | −1.76203 | + | 16.7646i | −0.108652 | + | 1.03375i | 0.795329 | + | 0.606178i | \(0.207298\pi\) |
−0.903981 | + | 0.427573i | \(0.859369\pi\) | |||||||
\(264\) | −56.7770 | + | 25.2787i | −3.49438 | + | 1.55580i | ||||
\(265\) | −1.12190 | − | 3.45287i | −0.0689180 | − | 0.212108i | ||||
\(266\) | −45.6938 | + | 20.3442i | −2.80167 | + | 1.24738i | ||||
\(267\) | −3.40003 | − | 32.3492i | −0.208079 | − | 1.97974i | ||||
\(268\) | −6.26178 | + | 19.2718i | −0.382499 | + | 1.17721i | ||||
\(269\) | −0.677280 | − | 6.44389i | −0.0412945 | − | 0.392891i | −0.995574 | − | 0.0939764i | \(-0.970042\pi\) |
0.954280 | − | 0.298914i | \(-0.0966245\pi\) | |||||||
\(270\) | 52.9042 | − | 58.7561i | 3.21965 | − | 3.57578i | ||||
\(271\) | −0.949950 | + | 1.05503i | −0.0577054 | + | 0.0640883i | −0.771306 | − | 0.636464i | \(-0.780396\pi\) |
0.713601 | + | 0.700552i | \(0.247063\pi\) | |||||||
\(272\) | −7.40566 | + | 22.7923i | −0.449034 | + | 1.38198i | ||||
\(273\) | −25.2949 | + | 27.6959i | −1.53092 | + | 1.67623i | ||||
\(274\) | −28.2889 | −1.70900 | ||||||||
\(275\) | 5.25837 | − | 1.11770i | 0.317092 | − | 0.0674000i | ||||
\(276\) | 4.18349 | − | 39.8032i | 0.251816 | − | 2.39587i | ||||
\(277\) | 0.566288 | + | 5.38787i | 0.0340249 | + | 0.323726i | 0.998274 | + | 0.0587280i | \(0.0187045\pi\) |
−0.964249 | + | 0.264998i | \(0.914629\pi\) | |||||||
\(278\) | −28.4095 | −1.70389 | ||||||||
\(279\) | −2.43135 | + | 39.0504i | −0.145561 | + | 2.33788i | ||||
\(280\) | 20.7240 | − | 35.8951i | 1.23850 | − | 2.14514i | ||||
\(281\) | 19.7516 | − | 14.3504i | 1.17828 | − | 0.856073i | 0.186306 | − | 0.982492i | \(-0.440348\pi\) |
0.991977 | + | 0.126419i | \(0.0403483\pi\) | |||||||
\(282\) | 10.4739 | − | 4.66326i | 0.623709 | − | 0.277693i | ||||
\(283\) | 25.7023 | − | 5.46318i | 1.52784 | − | 0.324753i | 0.634069 | − | 0.773276i | \(-0.281383\pi\) |
0.893771 | + | 0.448524i | \(0.148050\pi\) | |||||||
\(284\) | 11.6021 | + | 20.0954i | 0.688456 | + | 1.19244i | ||||
\(285\) | −49.5287 | −2.93383 | ||||||||
\(286\) | 34.7743 | + | 0.246265i | 2.05625 | + | 0.0145620i | ||||
\(287\) | 4.60872 | + | 14.1842i | 0.272044 | + | 0.837265i | ||||
\(288\) | −1.62913 | + | 1.80933i | −0.0959973 | + | 0.106616i | ||||
\(289\) | 14.0590 | + | 6.25948i | 0.827001 | + | 0.368204i | ||||
\(290\) | 22.2506 | + | 24.7118i | 1.30660 | + | 1.45113i | ||||
\(291\) | −1.65805 | + | 1.20465i | −0.0971967 | + | 0.0706176i | ||||
\(292\) | −0.125197 | + | 0.0557412i | −0.00732659 | + | 0.00326201i | ||||
\(293\) | −8.83911 | − | 1.87881i | −0.516387 | − | 0.109761i | −0.0576555 | − | 0.998337i | \(-0.518363\pi\) |
−0.458731 | + | 0.888575i | \(0.651696\pi\) | |||||||
\(294\) | −23.8701 | − | 17.3426i | −1.39213 | − | 1.01144i | ||||
\(295\) | −2.63735 | + | 1.17422i | −0.153552 | + | 0.0683659i | ||||
\(296\) | −7.13929 | + | 7.92899i | −0.414963 | + | 0.460863i | ||||
\(297\) | −5.23350 | + | 49.7934i | −0.303679 | + | 2.88931i | ||||
\(298\) | −34.2596 | + | 24.8910i | −1.98460 | + | 1.44190i | ||||
\(299\) | −5.71610 | + | 9.74062i | −0.330571 | + | 0.563315i | ||||
\(300\) | 14.1538 | − | 10.2834i | 0.817171 | − | 0.593710i | ||||
\(301\) | −18.8963 | + | 20.9864i | −1.08916 | + | 1.20964i | ||||
\(302\) | 3.56181 | − | 3.95579i | 0.204959 | − | 0.227630i | ||||
\(303\) | −4.41168 | − | 4.89967i | −0.253445 | − | 0.281479i | ||||
\(304\) | 26.0976 | 1.49680 | ||||||||
\(305\) | −8.76455 | + | 15.1807i | −0.501857 | + | 0.869242i | ||||
\(306\) | 65.7407 | + | 73.0125i | 3.75815 | + | 4.17385i | ||||
\(307\) | 8.73470 | + | 6.34613i | 0.498516 | + | 0.362193i | 0.808450 | − | 0.588565i | \(-0.200307\pi\) |
−0.309934 | + | 0.950758i | \(0.600307\pi\) | |||||||
\(308\) | 5.44004 | + | 51.7585i | 0.309975 | + | 2.94921i | ||||
\(309\) | 23.9276 | + | 41.4438i | 1.36119 | + | 2.35765i | ||||
\(310\) | −9.26131 | + | 33.2538i | −0.526007 | + | 1.88869i | ||||
\(311\) | 24.4966 | 1.38908 | 0.694538 | − | 0.719456i | \(-0.255609\pi\) | ||||
0.694538 | + | 0.719456i | \(0.255609\pi\) | |||||||
\(312\) | 52.3046 | − | 22.8451i | 2.96117 | − | 1.29335i | ||||
\(313\) | −10.2274 | − | 7.43063i | −0.578086 | − | 0.420004i | 0.259948 | − | 0.965623i | \(-0.416295\pi\) |
−0.838034 | + | 0.545619i | \(0.816295\pi\) | |||||||
\(314\) | 26.5383 | − | 5.64088i | 1.49764 | − | 0.318333i | ||||
\(315\) | −29.1318 | − | 50.4578i | −1.64139 | − | 2.84298i | ||||
\(316\) | −22.6937 | + | 39.3066i | −1.27662 | + | 2.21117i | ||||
\(317\) | −7.37906 | + | 22.7104i | −0.414450 | + | 1.27554i | 0.498293 | + | 0.867009i | \(0.333960\pi\) |
−0.912742 | + | 0.408536i | \(0.866040\pi\) | |||||||
\(318\) | 10.9461 | + | 2.32667i | 0.613829 | + | 0.130473i | ||||
\(319\) | −20.5975 | − | 4.37813i | −1.15324 | − | 0.245128i | ||||
\(320\) | 15.4576 | − | 11.2306i | 0.864104 | − | 0.627808i | ||||
\(321\) | −1.94144 | − | 2.15619i | −0.108361 | − | 0.120347i | ||||
\(322\) | −23.0946 | − | 10.2824i | −1.28701 | − | 0.573014i | ||||
\(323\) | 3.68687 | − | 35.0783i | 0.205143 | − | 1.95181i | ||||
\(324\) | 24.0650 | + | 74.0644i | 1.33694 | + | 4.11469i | ||||
\(325\) | −4.83621 | + | 0.992226i | −0.268265 | + | 0.0550388i | ||||
\(326\) | −3.55509 | − | 2.58293i | −0.196898 | − | 0.143055i | ||||
\(327\) | −21.0871 | + | 23.4196i | −1.16612 | + | 1.29510i | ||||
\(328\) | 2.37222 | − | 22.5702i | 0.130984 | − | 1.24623i | ||||
\(329\) | −0.506118 | − | 4.81539i | −0.0279032 | − | 0.265481i | ||||
\(330\) | −23.8185 | + | 73.3059i | −1.31117 | + | 4.03535i | ||||
\(331\) | −0.323183 | − | 3.07488i | −0.0177637 | − | 0.169011i | 0.982043 | − | 0.188656i | \(-0.0604130\pi\) |
−0.999807 | + | 0.0196451i | \(0.993746\pi\) | |||||||
\(332\) | −25.3758 | − | 5.39380i | −1.39268 | − | 0.296023i | ||||
\(333\) | 4.63468 | + | 14.2641i | 0.253979 | + | 0.781667i | ||||
\(334\) | −12.7141 | − | 14.1205i | −0.695687 | − | 0.772639i | ||||
\(335\) | 6.33711 | + | 10.9762i | 0.346233 | + | 0.599694i | ||||
\(336\) | 21.9032 | + | 37.9375i | 1.19492 | + | 2.06966i | ||||
\(337\) | 6.39428 | − | 19.6796i | 0.348319 | − | 1.07202i | −0.611464 | − | 0.791272i | \(-0.709419\pi\) |
0.959783 | − | 0.280743i | \(-0.0905808\pi\) | |||||||
\(338\) | −31.9328 | − | 0.452307i | −1.73691 | − | 0.0246023i | ||||
\(339\) | −3.58394 | + | 2.60389i | −0.194653 | + | 0.141424i | ||||
\(340\) | 28.9771 | + | 50.1898i | 1.57151 | + | 2.72193i | ||||
\(341\) | −7.63295 | − | 20.4836i | −0.413347 | − | 1.10925i | ||||
\(342\) | 53.4950 | − | 92.6560i | 2.89268 | − | 5.01026i | ||||
\(343\) | 8.52397 | − | 6.19303i | 0.460251 | − | 0.334392i | ||||
\(344\) | 39.2571 | − | 17.4784i | 2.11660 | − | 0.942371i | ||||
\(345\) | −16.7502 | − | 18.6030i | −0.901802 | − | 1.00155i | ||||
\(346\) | −24.4204 | −1.31285 | ||||||||
\(347\) | 2.58813 | − | 4.48277i | 0.138938 | − | 0.240648i | −0.788157 | − | 0.615475i | \(-0.788964\pi\) |
0.927095 | + | 0.374827i | \(0.122298\pi\) | |||||||
\(348\) | −67.0321 | + | 14.2481i | −3.59330 | + | 0.763779i | ||||
\(349\) | 3.67334 | − | 4.07966i | 0.196630 | − | 0.218379i | −0.636765 | − | 0.771058i | \(-0.719728\pi\) |
0.833394 | + | 0.552679i | \(0.186394\pi\) | |||||||
\(350\) | −3.41488 | − | 10.5099i | −0.182533 | − | 0.561778i | ||||
\(351\) | 5.12993 | − | 45.6930i | 0.273816 | − | 2.43891i | ||||
\(352\) | 0.420342 | − | 1.29368i | 0.0224043 | − | 0.0689533i | ||||
\(353\) | −16.3631 | − | 7.28533i | −0.870921 | − | 0.387759i | −0.0779054 | − | 0.996961i | \(-0.524823\pi\) |
−0.793015 | + | 0.609202i | \(0.791490\pi\) | |||||||
\(354\) | 0.930154 | − | 8.84982i | 0.0494371 | − | 0.470363i | ||||
\(355\) | 14.1963 | + | 3.01752i | 0.753463 | + | 0.160154i | ||||
\(356\) | 33.5316 | + | 24.3621i | 1.77717 | + | 1.29119i | ||||
\(357\) | 54.0868 | − | 24.0810i | 2.86258 | − | 1.27450i | ||||
\(358\) | 22.3127 | + | 4.74272i | 1.17926 | + | 0.250660i | ||||
\(359\) | −3.41702 | − | 2.48261i | −0.180343 | − | 0.131027i | 0.493951 | − | 0.869490i | \(-0.335552\pi\) |
−0.674294 | + | 0.738463i | \(0.735552\pi\) | |||||||
\(360\) | 9.26734 | + | 88.1728i | 0.488432 | + | 4.64712i | ||||
\(361\) | −18.9857 | + | 4.03554i | −0.999249 | + | 0.212397i | ||||
\(362\) | 57.2493 | + | 25.4890i | 3.00896 | + | 1.33967i | ||||
\(363\) | −4.31940 | − | 13.2937i | −0.226709 | − | 0.697740i | ||||
\(364\) | −4.65916 | − | 47.5670i | −0.244206 | − | 2.49319i | ||||
\(365\) | −0.0264881 | + | 0.0815221i | −0.00138645 | + | 0.00426706i | ||||
\(366\) | −27.0155 | − | 46.7922i | −1.41212 | − | 2.44587i | ||||
\(367\) | 0.0563750 | + | 0.0976444i | 0.00294275 | + | 0.00509700i | 0.867493 | − | 0.497449i | \(-0.165730\pi\) |
−0.864550 | + | 0.502546i | \(0.832397\pi\) | |||||||
\(368\) | 8.82601 | + | 9.80228i | 0.460088 | + | 0.510979i | ||||
\(369\) | −25.8090 | − | 18.7513i | −1.34356 | − | 0.976156i | ||||
\(370\) | 1.38315 | + | 13.1598i | 0.0719065 | + | 0.684145i | ||||
\(371\) | 2.36302 | − | 4.09287i | 0.122682 | − | 0.212491i | ||||
\(372\) | −49.8066 | − | 50.7948i | −2.58235 | − | 2.63359i | ||||
\(373\) | −14.3213 | + | 24.8053i | −0.741531 | + | 1.28437i | 0.210267 | + | 0.977644i | \(0.432567\pi\) |
−0.951798 | + | 0.306725i | \(0.900767\pi\) | |||||||
\(374\) | −50.1452 | − | 22.3261i | −2.59295 | − | 1.15445i | ||||
\(375\) | −3.03295 | + | 28.8565i | −0.156621 | + | 1.49015i | ||||
\(376\) | −2.27679 | + | 7.00723i | −0.117416 | + | 0.361370i | ||||
\(377\) | 18.8869 | + | 4.15454i | 0.972724 | + | 0.213970i | ||||
\(378\) | 102.921 | 5.29368 | ||||||||
\(379\) | 13.9304 | − | 2.96100i | 0.715556 | − | 0.152096i | 0.164274 | − | 0.986415i | \(-0.447472\pi\) |
0.551283 | + | 0.834319i | \(0.314139\pi\) | |||||||
\(380\) | 42.2295 | − | 46.9006i | 2.16633 | − | 2.40595i | ||||
\(381\) | 50.5182 | + | 10.7380i | 2.58812 | + | 0.550123i | ||||
\(382\) | −1.28188 | + | 0.931340i | −0.0655867 | + | 0.0476515i | ||||
\(383\) | −1.04006 | − | 1.15511i | −0.0531448 | − | 0.0590233i | 0.715986 | − | 0.698114i | \(-0.245977\pi\) |
−0.769131 | + | 0.639091i | \(0.779311\pi\) | |||||||
\(384\) | 6.38539 | + | 60.7529i | 0.325853 | + | 3.10029i | ||||
\(385\) | 26.3349 | + | 19.1334i | 1.34215 | + | 0.975128i | ||||
\(386\) | −6.79387 | − | 1.44408i | −0.345799 | − | 0.0735018i | ||||
\(387\) | 6.31416 | − | 60.0752i | 0.320967 | − | 3.05380i | ||||
\(388\) | 0.272975 | − | 2.59718i | 0.0138582 | − | 0.131852i | ||||
\(389\) | −3.04884 | − | 9.38338i | −0.154583 | − | 0.475756i | 0.843536 | − | 0.537073i | \(-0.180470\pi\) |
−0.998118 | + | 0.0613168i | \(0.980470\pi\) | |||||||
\(390\) | 22.3501 | − | 67.1643i | 1.13174 | − | 3.40100i | ||||
\(391\) | 14.4223 | − | 10.4784i | 0.729367 | − | 0.529916i | ||||
\(392\) | 18.5466 | − | 3.94220i | 0.936745 | − | 0.199111i | ||||
\(393\) | 9.34505 | + | 4.16069i | 0.471396 | + | 0.209879i | ||||
\(394\) | −1.19214 | − | 0.253397i | −0.0600591 | − | 0.0127660i | ||||
\(395\) | 8.77249 | + | 26.9990i | 0.441392 | + | 1.35847i | ||||
\(396\) | −74.4893 | − | 82.7288i | −3.74323 | − | 4.15728i | ||||
\(397\) | 8.99414 | − | 15.5783i | 0.451403 | − | 0.781853i | −0.547071 | − | 0.837086i | \(-0.684257\pi\) |
0.998473 | + | 0.0552337i | \(0.0175904\pi\) | |||||||
\(398\) | 55.2498 | 2.76942 | ||||||||
\(399\) | −43.1411 | − | 47.9131i | −2.15976 | − | 2.39865i | ||||
\(400\) | −0.602699 | + | 5.73430i | −0.0301350 | + | 0.286715i | ||||
\(401\) | −22.2862 | − | 9.92247i | −1.11292 | − | 0.495504i | −0.233887 | − | 0.972264i | \(-0.575145\pi\) |
−0.879034 | + | 0.476759i | \(0.841811\pi\) | |||||||
\(402\) | −39.0665 | −1.94846 | ||||||||
\(403\) | 6.87638 | + | 18.8604i | 0.342537 | + | 0.939504i | ||||
\(404\) | 8.40120 | 0.417975 | ||||||||
\(405\) | 44.4979 | + | 19.8117i | 2.21112 | + | 0.984453i | ||||
\(406\) | −4.52470 | + | 43.0496i | −0.224557 | + | 2.13652i | ||||
\(407\) | −5.60691 | − | 6.22711i | −0.277924 | − | 0.308666i | ||||
\(408\) | −90.0916 | −4.46020 | ||||||||
\(409\) | −13.0549 | + | 22.6117i | −0.645522 | + | 1.11808i | 0.338658 | + | 0.940909i | \(0.390027\pi\) |
−0.984181 | + | 0.177168i | \(0.943306\pi\) | |||||||
\(410\) | −18.8331 | − | 20.9163i | −0.930100 | − | 1.03298i | ||||
\(411\) | −11.2681 | − | 34.6798i | −0.555817 | − | 1.71063i | ||||
\(412\) | −59.6459 | − | 12.6781i | −2.93854 | − | 0.624607i | ||||
\(413\) | −3.43314 | − | 1.52853i | −0.168934 | − | 0.0752141i | ||||
\(414\) | 52.8933 | − | 11.2428i | 2.59956 | − | 0.552554i | ||||
\(415\) | −13.1274 | + | 9.53764i | −0.644400 | + | 0.468184i | ||||
\(416\) | −0.394427 | + | 1.18530i | −0.0193384 | + | 0.0581139i | ||||
\(417\) | −11.3162 | − | 34.8276i | −0.554155 | − | 1.70551i | ||||
\(418\) | −6.24818 | + | 59.4474i | −0.305608 | + | 2.90767i | ||||
\(419\) | 3.60263 | − | 34.2768i | 0.176000 | − | 1.67453i | −0.448713 | − | 0.893676i | \(-0.648118\pi\) |
0.624713 | − | 0.780854i | \(-0.285216\pi\) | |||||||
\(420\) | 103.621 | + | 22.0253i | 5.05617 | + | 1.07472i | ||||
\(421\) | 20.2607 | + | 14.7203i | 0.987446 | + | 0.717421i | 0.959360 | − | 0.282184i | \(-0.0910589\pi\) |
0.0280855 | + | 0.999606i | \(0.491059\pi\) | |||||||
\(422\) | 6.11416 | + | 58.1724i | 0.297633 | + | 2.83179i | ||||
\(423\) | 6.93017 | + | 7.69674i | 0.336957 | + | 0.374228i | ||||
\(424\) | −5.81805 | + | 4.22706i | −0.282550 | + | 0.205284i | ||||
\(425\) | 7.62243 | + | 1.62020i | 0.369742 | + | 0.0785911i | ||||
\(426\) | −29.9341 | + | 33.2451i | −1.45031 | + | 1.61073i | ||||
\(427\) | −22.3197 | + | 4.74420i | −1.08013 | + | 0.229588i | ||||
\(428\) | 3.69709 | 0.178706 | ||||||||
\(429\) | 13.5495 | + | 42.7283i | 0.654176 | + | 2.06294i | ||||
\(430\) | 16.4687 | − | 50.6856i | 0.794194 | − | 2.44428i | ||||
\(431\) | 1.45527 | − | 13.8460i | 0.0700978 | − | 0.666936i | −0.901900 | − | 0.431945i | \(-0.857827\pi\) |
0.971998 | − | 0.234991i | \(-0.0755060\pi\) | |||||||
\(432\) | −49.0577 | − | 21.8419i | −2.36029 | − | 1.05087i | ||||
\(433\) | 8.13879 | − | 14.0968i | 0.391125 | − | 0.677449i | −0.601473 | − | 0.798893i | \(-0.705419\pi\) |
0.992598 | + | 0.121444i | \(0.0387526\pi\) | |||||||
\(434\) | −40.2360 | + | 20.0059i | −1.93139 | + | 0.960315i | ||||
\(435\) | −21.4316 | + | 37.1206i | −1.02757 | + | 1.77980i | ||||
\(436\) | −4.19747 | − | 39.9363i | −0.201022 | − | 1.91260i | ||||
\(437\) | −15.7056 | − | 11.4108i | −0.751299 | − | 0.545851i | ||||
\(438\) | −0.176792 | − | 0.196348i | −0.00844746 | − | 0.00938185i | ||||
\(439\) | −8.42607 | − | 14.5944i | −0.402154 | − | 0.696551i | 0.591831 | − | 0.806062i | \(-0.298405\pi\) |
−0.993986 | + | 0.109510i | \(0.965072\pi\) | |||||||
\(440\) | −24.7666 | − | 42.8970i | −1.18070 | − | 2.04503i | ||||
\(441\) | 8.23637 | − | 25.3489i | 0.392208 | − | 1.20709i | ||||
\(442\) | 45.9048 | + | 20.8289i | 2.18347 | + | 0.990731i | ||||
\(443\) | 5.24186 | + | 16.1328i | 0.249048 | + | 0.766491i | 0.994944 | + | 0.100429i | \(0.0320215\pi\) |
−0.745896 | + | 0.666062i | \(0.767979\pi\) | |||||||
\(444\) | −24.9122 | − | 11.0916i | −1.18228 | − | 0.526385i | ||||
\(445\) | 25.3575 | − | 5.38991i | 1.20206 | − | 0.255506i | ||||
\(446\) | −3.71390 | − | 35.3354i | −0.175858 | − | 1.67318i | ||||
\(447\) | −44.1607 | − | 32.0846i | −2.08873 | − | 1.51755i | ||||
\(448\) | 24.3283 | + | 5.17114i | 1.14940 | + | 0.244313i | ||||
\(449\) | 20.0568 | − | 8.92986i | 0.946538 | − | 0.421426i | 0.125369 | − | 0.992110i | \(-0.459989\pi\) |
0.821170 | + | 0.570684i | \(0.193322\pi\) | |||||||
\(450\) | 19.1234 | + | 13.8940i | 0.901488 | + | 0.654969i | ||||
\(451\) | 17.4339 | + | 3.70568i | 0.820929 | + | 0.174494i | ||||
\(452\) | 0.590046 | − | 5.61391i | 0.0277534 | − | 0.264056i | ||||
\(453\) | 6.26821 | + | 2.79079i | 0.294506 | + | 0.131123i | ||||
\(454\) | 3.47304 | − | 10.6889i | 0.162998 | − | 0.501655i | ||||
\(455\) | −24.0598 | − | 17.7421i | −1.12794 | − | 0.831763i | ||||
\(456\) | 30.3170 | + | 93.3060i | 1.41972 | + | 4.36946i | ||||
\(457\) | −22.4771 | + | 24.9634i | −1.05144 | + | 1.16774i | −0.0659771 | + | 0.997821i | \(0.521016\pi\) |
−0.985458 | + | 0.169916i | \(0.945650\pi\) | |||||||
\(458\) | 34.3097 | − | 7.29275i | 1.60319 | − | 0.340768i | ||||
\(459\) | −36.2886 | + | 62.8536i | −1.69381 | + | 2.93376i | ||||
\(460\) | 31.8976 | 1.48723 | ||||||||
\(461\) | −19.5532 | − | 21.7161i | −0.910684 | − | 1.01142i | −0.999881 | − | 0.0154036i | \(-0.995097\pi\) |
0.0891969 | − | 0.996014i | \(-0.471570\pi\) | |||||||
\(462\) | −91.6614 | + | 40.8103i | −4.26447 | + | 1.89867i | ||||
\(463\) | 23.2982 | − | 16.9271i | 1.08276 | − | 0.786670i | 0.104596 | − | 0.994515i | \(-0.466645\pi\) |
0.978162 | + | 0.207845i | \(0.0666449\pi\) | |||||||
\(464\) | 11.2927 | − | 19.5596i | 0.524251 | − | 0.908029i | ||||
\(465\) | −44.4552 | + | 1.89218i | −2.06156 | + | 0.0877479i | ||||
\(466\) | −12.6448 | − | 21.9014i | −0.585759 | − | 1.01456i | ||||
\(467\) | −11.1350 | + | 8.09005i | −0.515266 | + | 0.374363i | −0.814818 | − | 0.579717i | \(-0.803163\pi\) |
0.299551 | + | 0.954080i | \(0.403163\pi\) | |||||||
\(468\) | 67.8680 | + | 76.4571i | 3.13720 | + | 3.53423i | ||||
\(469\) | −5.09833 | + | 15.6910i | −0.235419 | + | 0.724545i | ||||
\(470\) | 4.56878 | + | 7.91336i | 0.210742 | + | 0.365016i | ||||
\(471\) | 17.4860 | + | 30.2867i | 0.805715 | + | 1.39554i | ||||
\(472\) | 3.82644 | + | 4.24969i | 0.176126 | + | 0.195608i | ||||
\(473\) | 10.4289 | + | 32.0969i | 0.479522 | + | 1.47582i | ||||
\(474\) | −85.5910 | − | 18.1929i | −3.93132 | − | 0.835629i | ||||
\(475\) | −0.887039 | − | 8.43962i | −0.0407002 | − | 0.387236i | ||||
\(476\) | −23.3126 | + | 71.7490i | −1.06853 | + | 3.28861i | ||||
\(477\) | 1.05669 | + | 10.0537i | 0.0483825 | + | 0.460329i | ||||
\(478\) | 5.87596 | − | 55.9060i | 0.268760 | − | 2.55708i | ||||
\(479\) | −20.4455 | + | 22.7071i | −0.934180 | + | 1.03751i | 0.0650340 | + | 0.997883i | \(0.479284\pi\) |
−0.999214 | + | 0.0396294i | \(0.987382\pi\) | |||||||
\(480\) | −2.24002 | − | 1.62747i | −0.102243 | − | 0.0742837i | ||||
\(481\) | 5.10852 | + | 5.75503i | 0.232929 | + | 0.262407i | ||||
\(482\) | −22.5795 | − | 69.4926i | −1.02847 | − | 3.16530i | ||||
\(483\) | 3.40619 | − | 32.4077i | 0.154987 | − | 1.47460i | ||||
\(484\) | 16.2712 | + | 7.24439i | 0.739598 | + | 0.329290i | ||||
\(485\) | −1.09296 | − | 1.21386i | −0.0496289 | − | 0.0551185i | ||||
\(486\) | −45.4297 | + | 33.0066i | −2.06073 | + | 1.49721i | ||||
\(487\) | 23.7687 | + | 5.05219i | 1.07706 | + | 0.228936i | 0.712094 | − | 0.702084i | \(-0.247747\pi\) |
0.364967 | + | 0.931020i | \(0.381080\pi\) | |||||||
\(488\) | 33.9634 | + | 7.21914i | 1.53745 | + | 0.326795i | ||||
\(489\) | 1.75037 | − | 5.38708i | 0.0791543 | − | 0.243612i | ||||
\(490\) | 11.7576 | − | 20.3648i | 0.531156 | − | 0.919989i | ||||
\(491\) | 0.674712 | + | 1.16863i | 0.0304493 | + | 0.0527397i | 0.880848 | − | 0.473398i | \(-0.156973\pi\) |
−0.850399 | + | 0.526138i | \(0.823640\pi\) | |||||||
\(492\) | 56.7365 | − | 12.0597i | 2.55788 | − | 0.543694i | ||||
\(493\) | −24.6950 | − | 17.9420i | −1.11221 | − | 0.808066i | ||||
\(494\) | 6.12453 | − | 54.5519i | 0.275555 | − | 2.45441i | ||||
\(495\) | −69.6289 | −3.12958 | ||||||||
\(496\) | 23.4243 | − | 0.997027i | 1.05178 | − | 0.0447678i | ||||
\(497\) | 9.44639 | + | 16.3616i | 0.423728 | + | 0.733919i | ||||
\(498\) | −5.22805 | − | 49.7416i | −0.234274 | − | 2.22897i | ||||
\(499\) | −9.96441 | − | 7.23957i | −0.446068 | − | 0.324088i | 0.341973 | − | 0.939710i | \(-0.388905\pi\) |
−0.788042 | + | 0.615622i | \(0.788905\pi\) | |||||||
\(500\) | −24.7394 | − | 27.4759i | −1.10638 | − | 1.22876i | ||||
\(501\) | 12.2462 | − | 21.2110i | 0.547118 | − | 0.947637i | ||||
\(502\) | 56.8871 | 2.53900 | ||||||||
\(503\) | −7.61331 | − | 8.45543i | −0.339461 | − | 0.377009i | 0.549109 | − | 0.835751i | \(-0.314967\pi\) |
−0.888570 | + | 0.458741i | \(0.848300\pi\) | |||||||
\(504\) | −77.2245 | + | 85.7665i | −3.43985 | + | 3.82035i | ||||
\(505\) | 3.51608 | − | 3.90500i | 0.156463 | − | 0.173770i | ||||
\(506\) | −24.4416 | + | 17.7579i | −1.08656 | + | 0.789433i | ||||
\(507\) | −12.1651 | − | 39.3270i | −0.540271 | − | 1.74657i | ||||
\(508\) | −53.2413 | + | 38.6821i | −2.36220 | + | 1.71624i | ||||
\(509\) | 3.16085 | − | 30.0735i | 0.140102 | − | 1.33298i | −0.668097 | − | 0.744074i | \(-0.732891\pi\) |
0.808199 | − | 0.588909i | \(-0.200442\pi\) | |||||||
\(510\) | −74.7627 | + | 83.0324i | −3.31055 | + | 3.67674i | ||||
\(511\) | −0.101935 | + | 0.0453844i | −0.00450934 | + | 0.00200769i | ||||
\(512\) | −32.8807 | − | 23.8893i | −1.45314 | − | 1.05577i | ||||
\(513\) | 77.3078 | + | 16.4323i | 3.41322 | + | 0.725503i | ||||
\(514\) | 31.5712 | − | 14.0564i | 1.39255 | − | 0.620002i | ||||
\(515\) | −30.8560 | + | 22.4182i | −1.35968 | + | 0.987865i | ||||
\(516\) | 73.4914 | + | 81.6205i | 3.23528 | + | 3.59314i | ||||
\(517\) | −5.28615 | − | 2.35354i | −0.232484 | − | 0.103509i | ||||
\(518\) | −11.5258 | + | 12.8006i | −0.506412 | + | 0.562428i | ||||
\(519\) | −9.72722 | − | 29.9373i | −0.426977 | − | 1.31410i | ||||
\(520\) | 22.4650 | + | 39.5548i | 0.985156 | + | 1.73459i | ||||
\(521\) | −16.4735 | −0.721718 | −0.360859 | − | 0.932620i | \(-0.617516\pi\) | ||||
−0.360859 | + | 0.932620i | \(0.617516\pi\) | |||||||
\(522\) | −46.2957 | − | 80.1865i | −2.02631 | − | 3.50967i | ||||
\(523\) | −4.93938 | + | 1.04990i | −0.215984 | + | 0.0459088i | −0.314633 | − | 0.949214i | \(-0.601881\pi\) |
0.0986487 | + | 0.995122i | \(0.468548\pi\) | |||||||
\(524\) | −11.9077 | + | 5.30167i | −0.520192 | + | 0.231605i | ||||
\(525\) | 11.5240 | − | 8.37269i | 0.502949 | − | 0.365414i | ||||
\(526\) | 20.7055 | − | 35.8630i | 0.902804 | − | 1.56370i | ||||
\(527\) | 1.96909 | − | 31.6259i | 0.0857749 | − | 1.37765i | ||||
\(528\) | 52.3516 | 2.27831 | ||||||||
\(529\) | 1.37854 | + | 13.1159i | 0.0599366 | + | 0.570258i | ||||
\(530\) | −0.932277 | + | 8.87002i | −0.0404955 | + | 0.385289i | ||||
\(531\) | 7.86288 | − | 1.67131i | 0.341220 | − | 0.0725285i | ||||
\(532\) | 82.1540 | 3.56183 | ||||||||
\(533\) | −15.9860 | − | 3.51643i | −0.692431 | − | 0.152314i | ||||
\(534\) | −24.6927 | + | 75.9962i | −1.06856 | + | 3.28868i | ||||
\(535\) | 1.54731 | − | 1.71846i | 0.0668961 | − | 0.0742956i | ||||
\(536\) | 16.7988 | − | 18.6570i | 0.725599 | − | 0.805859i | ||||
\(537\) | 3.07352 | + | 29.2426i | 0.132632 | + | 1.26191i | ||||
\(538\) | −4.91873 | + | 15.1383i | −0.212062 | + | 0.652658i | ||||
\(539\) | 1.55655 | + | 14.8096i | 0.0670454 | + | 0.637895i | ||||
\(540\) | −118.634 | + | 52.8195i | −5.10521 | + | 2.27299i | ||||
\(541\) | −0.222642 | − | 0.685221i | −0.00957211 | − | 0.0294599i | 0.946156 | − | 0.323710i | \(-0.104930\pi\) |
−0.955728 | + | 0.294250i | \(0.904930\pi\) | |||||||
\(542\) | 3.18608 | − | 1.41854i | 0.136854 | − | 0.0609313i | ||||
\(543\) | −8.44362 | + | 80.3357i | −0.362350 | + | 3.44753i | ||||
\(544\) | 1.31939 | − | 1.46533i | 0.0565684 | − | 0.0628255i | ||||
\(545\) | −20.3197 | − | 14.7631i | −0.870400 | − | 0.632382i | ||||
\(546\) | 84.4412 | − | 36.8814i | 3.61375 | − | 1.57838i | ||||
\(547\) | 2.32885 | − | 7.16747i | 0.0995745 | − | 0.306459i | −0.888844 | − | 0.458209i | \(-0.848491\pi\) |
0.988419 | + | 0.151750i | \(0.0484910\pi\) | |||||||
\(548\) | 42.4471 | + | 18.8987i | 1.81325 | + | 0.807311i | ||||
\(549\) | 32.6596 | − | 36.2721i | 1.39388 | − | 1.54806i | ||||
\(550\) | −12.9178 | − | 2.74576i | −0.550817 | − | 0.117080i | ||||
\(551\) | −10.2720 | + | 31.6138i | −0.437600 | + | 1.34679i | ||||
\(552\) | −24.7929 | + | 42.9425i | −1.05525 | + | 1.82775i | ||||
\(553\) | −18.4771 | + | 32.0033i | −0.785728 | + | 1.36092i | ||||
\(554\) | 4.11265 | − | 12.6574i | 0.174730 | − | 0.537763i | ||||
\(555\) | −15.5818 | + | 6.93747i | −0.661411 | + | 0.294479i | ||||
\(556\) | 42.6280 | + | 18.9792i | 1.80783 | + | 0.804898i | ||||
\(557\) | −10.0611 | − | 17.4263i | −0.426302 | − | 0.738377i | 0.570239 | − | 0.821479i | \(-0.306851\pi\) |
−0.996541 | + | 0.0831019i | \(0.973517\pi\) | |||||||
\(558\) | 44.4754 | − | 85.2086i | 1.88280 | − | 3.60717i | ||||
\(559\) | −9.36849 | − | 29.5435i | −0.396245 | − | 1.24956i | ||||
\(560\) | −28.2455 | + | 20.5216i | −1.19359 | + | 0.867195i | ||||
\(561\) | 7.39584 | − | 70.3667i | 0.312253 | − | 2.97089i | ||||
\(562\) | −58.6660 | + | 12.4698i | −2.47468 | + | 0.526009i | ||||
\(563\) | −7.56647 | + | 13.1055i | −0.318889 | + | 0.552332i | −0.980256 | − | 0.197730i | \(-0.936643\pi\) |
0.661368 | + | 0.750062i | \(0.269976\pi\) | |||||||
\(564\) | −18.8312 | −0.792936 | ||||||||
\(565\) | −2.36248 | − | 2.62380i | −0.0993903 | − | 0.110384i | ||||
\(566\) | −63.1405 | − | 13.4209i | −2.65399 | − | 0.564124i | ||||
\(567\) | 19.5937 | + | 60.3031i | 0.822857 | + | 2.53249i | ||||
\(568\) | −3.00506 | − | 28.5912i | −0.126089 | − | 1.19966i | ||||
\(569\) | 21.7860 | − | 4.63075i | 0.913315 | − | 0.194131i | 0.272795 | − | 0.962072i | \(-0.412052\pi\) |
0.640520 | + | 0.767941i | \(0.278719\pi\) | |||||||
\(570\) | 111.154 | + | 49.4888i | 4.65571 | + | 2.07286i | ||||
\(571\) | 28.0133 | + | 20.3529i | 1.17232 | + | 0.851742i | 0.991285 | − | 0.131735i | \(-0.0420547\pi\) |
0.181037 | + | 0.983476i | \(0.442055\pi\) | |||||||
\(572\) | −52.0137 | − | 23.6008i | −2.17480 | − | 0.986798i | ||||
\(573\) | −1.65235 | − | 1.20050i | −0.0690277 | − | 0.0501516i | ||||
\(574\) | 3.82974 | − | 36.4375i | 0.159850 | − | 1.52087i | ||||
\(575\) | 2.86994 | − | 3.18739i | 0.119685 | − | 0.132923i | ||||
\(576\) | −48.6019 | + | 21.6390i | −2.02508 | + | 0.901624i | ||||
\(577\) | 29.1809 | − | 21.2012i | 1.21482 | − | 0.882617i | 0.219158 | − | 0.975689i | \(-0.429669\pi\) |
0.995659 | + | 0.0930727i | \(0.0296689\pi\) | |||||||
\(578\) | −25.2972 | − | 28.0954i | −1.05222 | − | 1.16861i | ||||
\(579\) | −0.935839 | − | 8.90391i | −0.0388921 | − | 0.370034i | ||||
\(580\) | −16.8778 | − | 51.9444i | −0.700811 | − | 2.15687i | ||||
\(581\) | −20.6610 | − | 4.39162i | −0.857161 | − | 0.182195i | ||||
\(582\) | 4.92472 | − | 1.04678i | 0.204136 | − | 0.0433905i | ||||
\(583\) | −2.82396 | − | 4.89125i | −0.116957 | − | 0.202575i | ||||
\(584\) | 0.169791 | 0.00702602 | ||||||||
\(585\) | 63.9425 | + | 0.452830i | 2.64370 | + | 0.0187222i | ||||
\(586\) | 17.9597 | + | 13.0485i | 0.741908 | + | 0.539028i | ||||
\(587\) | −0.461195 | − | 0.205337i | −0.0190355 | − | 0.00847517i | 0.397197 | − | 0.917733i | \(-0.369983\pi\) |
−0.416232 | + | 0.909258i | \(0.636650\pi\) | |||||||
\(588\) | 24.2308 | + | 41.9690i | 0.999262 | + | 1.73077i | ||||
\(589\) | −33.4169 | + | 8.60317i | −1.37692 | + | 0.354488i | ||||
\(590\) | 7.09209 | 0.291977 | ||||||||
\(591\) | −0.164214 | − | 1.56239i | −0.00675487 | − | 0.0642683i | ||||
\(592\) | 8.21036 | − | 3.65549i | 0.337444 | − | 0.150240i | ||||
\(593\) | 6.73304 | − | 20.7222i | 0.276493 | − | 0.850958i | −0.712328 | − | 0.701847i | \(-0.752359\pi\) |
0.988821 | − | 0.149111i | \(-0.0476411\pi\) | |||||||
\(594\) | 61.4985 | − | 106.519i | 2.52332 | − | 4.37051i | ||||
\(595\) | 23.5931 | + | 40.8645i | 0.967224 | + | 1.67528i | ||||
\(596\) | 68.0347 | − | 14.4612i | 2.78681 | − | 0.592354i | ||||
\(597\) | 22.0073 | + | 67.7315i | 0.900699 | + | 2.77207i | ||||
\(598\) | 22.5610 | − | 16.1487i | 0.922589 | − | 0.660369i | ||||
\(599\) | 29.3679 | − | 21.3370i | 1.19994 | − | 0.871807i | 0.205660 | − | 0.978623i | \(-0.434066\pi\) |
0.994279 | + | 0.106817i | \(0.0340658\pi\) | |||||||
\(600\) | −21.2018 | + | 4.50659i | −0.865561 | + | 0.183981i | ||||
\(601\) | −27.6515 | − | 12.3112i | −1.12793 | − | 0.502186i | −0.243985 | − | 0.969779i | \(-0.578455\pi\) |
−0.883944 | + | 0.467593i | \(0.845121\pi\) | |||||||
\(602\) | 63.3771 | − | 28.2173i | 2.58306 | − | 1.15005i | ||||
\(603\) | −10.9055 | − | 33.5635i | −0.444104 | − | 1.36681i | ||||
\(604\) | −7.98714 | + | 3.55610i | −0.324992 | + | 0.144696i | ||||
\(605\) | 10.1771 | − | 4.53114i | 0.413759 | − | 0.184217i | ||||
\(606\) | 5.00510 | + | 15.4041i | 0.203318 | + | 0.625749i | ||||
\(607\) | −42.9662 | + | 19.1298i | −1.74394 | + | 0.776454i | −0.750669 | + | 0.660679i | \(0.770269\pi\) |
−0.993275 | + | 0.115775i | \(0.963065\pi\) | |||||||
\(608\) | −1.96161 | − | 0.873363i | −0.0795536 | − | 0.0354195i | ||||
\(609\) | −54.5774 | + | 11.6008i | −2.21159 | + | 0.470087i | ||||
\(610\) | 34.8381 | − | 25.3114i | 1.41055 | − | 1.02483i | ||||
\(611\) | 4.83914 | + | 2.19572i | 0.195771 | + | 0.0888292i | ||||
\(612\) | −49.8663 | − | 153.473i | −2.01573 | − | 6.20377i | ||||
\(613\) | −32.4673 | + | 6.90114i | −1.31134 | + | 0.278735i | −0.809957 | − | 0.586489i | \(-0.800510\pi\) |
−0.501386 | + | 0.865224i | \(0.667176\pi\) | |||||||
\(614\) | −13.2616 | − | 22.9699i | −0.535197 | − | 0.926988i | ||||
\(615\) | 18.1399 | − | 31.4192i | 0.731470 | − | 1.26694i | ||||
\(616\) | 19.9252 | − | 61.3234i | 0.802809 | − | 2.47079i | ||||
\(617\) | −22.7019 | + | 10.1075i | −0.913943 | + | 0.406914i | −0.809165 | − | 0.587582i | \(-0.800080\pi\) |
−0.104778 | + | 0.994496i | \(0.533413\pi\) | |||||||
\(618\) | −12.2885 | − | 116.918i | −0.494317 | − | 4.70312i | ||||
\(619\) | 20.5378 | 0.825484 | 0.412742 | − | 0.910848i | \(-0.364571\pi\) | ||||
0.412742 | + | 0.910848i | \(0.364571\pi\) | |||||||
\(620\) | 36.1119 | − | 43.7097i | 1.45029 | − | 1.75542i | ||||
\(621\) | 19.9730 | + | 34.5942i | 0.801487 | + | 1.38822i | ||||
\(622\) | −54.9761 | − | 24.4769i | −2.20434 | − | 0.981435i | ||||
\(623\) | 27.3014 | + | 19.8356i | 1.09381 | + | 0.794697i | ||||
\(624\) | −48.0762 | − | 0.340467i | −1.92459 | − | 0.0136296i | ||||
\(625\) | −29.9714 | −1.19886 | ||||||||
\(626\) | 15.5279 | + | 26.8952i | 0.620621 | + | 1.07495i | ||||
\(627\) | −75.3662 | + | 16.0196i | −3.00984 | + | 0.639761i | ||||
\(628\) | −43.5887 | − | 9.26506i | −1.73938 | − | 0.369716i | ||||
\(629\) | −3.75351 | − | 11.5521i | −0.149662 | − | 0.460613i | ||||
\(630\) | 14.9613 | + | 142.347i | 0.596072 | + | 5.67125i | ||||
\(631\) | 23.0744 | + | 25.6267i | 0.918577 | + | 1.02018i | 0.999724 | + | 0.0234813i | \(0.00747503\pi\) |
−0.0811469 | + | 0.996702i | \(0.525858\pi\) | |||||||
\(632\) | 45.4931 | − | 33.0526i | 1.80962 | − | 1.31476i | ||||
\(633\) | −68.8789 | + | 30.6669i | −2.73769 | + | 1.21890i | ||||
\(634\) | 39.2524 | − | 43.5943i | 1.55891 | − | 1.73135i | ||||
\(635\) | −4.30261 | + | 40.9366i | −0.170744 | + | 1.62452i | ||||
\(636\) | −14.8702 | − | 10.8038i | −0.589640 | − | 0.428398i | ||||
\(637\) | −1.33312 | − | 13.6103i | −0.0528201 | − | 0.539259i | ||||
\(638\) | 41.8508 | + | 30.4064i | 1.65689 | + | 1.20380i | ||||
\(639\) | −36.9183 | − | 16.4371i | −1.46047 | − | 0.650241i | ||||
\(640\) | −47.6224 | + | 10.1225i | −1.88244 | + | 0.400125i | ||||
\(641\) | 4.38314 | + | 41.7028i | 0.173123 | + | 1.64716i | 0.644047 | + | 0.764986i | \(0.277254\pi\) |
−0.470924 | + | 0.882174i | \(0.656079\pi\) | |||||||
\(642\) | 2.20258 | + | 6.77885i | 0.0869290 | + | 0.267540i | ||||
\(643\) | 13.2968 | + | 2.82632i | 0.524374 | + | 0.111459i | 0.462490 | − | 0.886624i | \(-0.346956\pi\) |
0.0618834 | + | 0.998083i | \(0.480289\pi\) | |||||||
\(644\) | 27.7839 | + | 30.8571i | 1.09484 | + | 1.21594i | ||||
\(645\) | 68.6961 | 2.70491 | ||||||||
\(646\) | −43.3242 | + | 75.0397i | −1.70457 | + | 2.95240i | ||||
\(647\) | 4.83911 | − | 1.02858i | 0.190245 | − | 0.0404378i | −0.111804 | − | 0.993730i | \(-0.535663\pi\) |
0.302049 | + | 0.953293i | \(0.402329\pi\) | |||||||
\(648\) | 10.0853 | − | 95.9556i | 0.396190 | − | 3.76949i | ||||
\(649\) | −3.63338 | + | 2.63980i | −0.142623 | + | 0.103621i | ||||
\(650\) | 11.8450 | + | 2.60554i | 0.464599 | + | 0.102198i | ||||
\(651\) | −40.5525 | − | 41.3570i | −1.58938 | − | 1.62091i | ||||
\(652\) | 3.60882 | + | 6.25065i | 0.141332 | + | 0.244794i | ||||
\(653\) | 9.19308 | + | 4.09302i | 0.359753 | + | 0.160172i | 0.578651 | − | 0.815575i | \(-0.303579\pi\) |
−0.218898 | + | 0.975748i | \(0.570246\pi\) | |||||||
\(654\) | 70.7249 | − | 31.4888i | 2.76556 | − | 1.23131i | ||||
\(655\) | −2.51935 | + | 7.75375i | −0.0984390 | + | 0.302964i | ||||
\(656\) | −9.55825 | + | 16.5554i | −0.373187 | + | 0.646378i | ||||
\(657\) | 0.119338 | − | 0.206700i | 0.00465582 | − | 0.00806412i | ||||
\(658\) | −3.67567 | + | 11.3126i | −0.143293 | + | 0.441009i | ||||
\(659\) | 39.5108 | + | 8.39828i | 1.53912 | + | 0.327150i | 0.897898 | − | 0.440204i | \(-0.145094\pi\) |
0.641224 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(660\) | 84.7120 | − | 94.0822i | 3.29741 | − | 3.66214i | ||||
\(661\) | 25.5255 | + | 11.3647i | 0.992826 | + | 0.442034i | 0.837860 | − | 0.545885i | \(-0.183807\pi\) |
0.154966 | + | 0.987920i | \(0.450473\pi\) | |||||||
\(662\) | −2.34711 | + | 7.22365i | −0.0912229 | + | 0.280755i | ||||
\(663\) | −7.24948 | + | 64.5720i | −0.281546 | + | 2.50777i | ||||
\(664\) | 26.0032 | + | 18.8924i | 1.00912 | + | 0.733168i | ||||
\(665\) | 34.3831 | − | 38.1863i | 1.33332 | − | 1.48080i | ||||
\(666\) | 3.85131 | − | 36.6428i | 0.149235 | − | 1.41988i | ||||
\(667\) | −15.3481 | + | 6.83340i | −0.594280 | + | 0.264590i | ||||
\(668\) | 9.64407 | + | 29.6814i | 0.373140 | + | 1.14841i | ||||
\(669\) | 41.8389 | − | 18.6279i | 1.61758 | − | 0.720195i | ||||
\(670\) | −3.25456 | − | 30.9651i | −0.125735 | − | 1.19629i | ||||
\(671\) | −8.42671 | + | 25.9347i | −0.325309 | + | 1.00120i | ||||
\(672\) | −0.376750 | − | 3.58454i | −0.0145335 | − | 0.138277i | ||||
\(673\) | −5.48626 | + | 6.09311i | −0.211480 | + | 0.234872i | −0.839547 | − | 0.543287i | \(-0.817180\pi\) |
0.628067 | + | 0.778159i | \(0.283846\pi\) | |||||||
\(674\) | −34.0140 | + | 37.7763i | −1.31017 | + | 1.45509i | ||||
\(675\) | −5.39594 | + | 16.6070i | −0.207690 | + | 0.639203i | ||||
\(676\) | 47.6125 | + | 22.0117i | 1.83125 | + | 0.846602i | ||||
\(677\) | 36.0797 | 1.38666 | 0.693328 | − | 0.720622i | \(-0.256144\pi\) | ||||
0.693328 | + | 0.720622i | \(0.256144\pi\) | |||||||
\(678\) | 10.6450 | − | 2.26266i | 0.408818 | − | 0.0868969i | ||||
\(679\) | 0.222256 | − | 2.11462i | 0.00852939 | − | 0.0811518i | ||||
\(680\) | −7.50538 | − | 71.4089i | −0.287818 | − | 2.73841i | ||||
\(681\) | 14.4871 | 0.555146 | ||||||||
\(682\) | −3.33703 | + | 53.5967i | −0.127782 | + | 2.05232i | ||||
\(683\) | 2.00678 | − | 3.47584i | 0.0767872 | − | 0.132999i | −0.825075 | − | 0.565023i | \(-0.808867\pi\) |
0.901862 | + | 0.432024i | \(0.142200\pi\) | |||||||
\(684\) | −142.168 | + | 103.291i | −5.43593 | + | 3.94944i | ||||
\(685\) | 26.5494 | − | 11.8205i | 1.01440 | − | 0.451640i | ||||
\(686\) | −25.3178 | + | 5.38146i | −0.966637 | + | 0.205465i | ||||
\(687\) | 22.6067 | + | 39.1559i | 0.862498 | + | 1.49389i | ||||
\(688\) | −36.1973 | −1.38001 | ||||||||
\(689\) | 2.56153 | + | 4.51016i | 0.0975865 | + | 0.171824i | ||||
\(690\) | 19.0033 | + | 58.4862i | 0.723443 | + | 2.22653i | ||||
\(691\) | −9.14833 | + | 10.1603i | −0.348019 | + | 0.386514i | −0.891586 | − | 0.452852i | \(-0.850407\pi\) |
0.543567 | + | 0.839366i | \(0.317073\pi\) | |||||||
\(692\) | 36.6424 | + | 16.3143i | 1.39294 | + | 0.620175i | ||||
\(693\) | −60.6491 | − | 67.3576i | −2.30387 | − | 2.55870i | ||||
\(694\) | −10.2875 | + | 7.47432i | −0.390509 | + | 0.283721i | ||||
\(695\) | 26.6625 | − | 11.8709i | 1.01137 | − | 0.450289i | ||||
\(696\) | 83.0492 | + | 17.6527i | 3.14797 | + | 0.669122i | ||||
\(697\) | 20.9021 | + | 15.1862i | 0.791722 | + | 0.575219i | ||||
\(698\) | −12.3202 | + | 5.48531i | −0.466327 | + | 0.207622i | ||||
\(699\) | 21.8126 | − | 24.2253i | 0.825027 | − | 0.916285i | ||||
\(700\) | −1.89727 | + | 18.0513i | −0.0717100 | + | 0.682275i | ||||
\(701\) | −33.8908 | + | 24.6231i | −1.28004 | + | 0.930001i | −0.999554 | − | 0.0298583i | \(-0.990494\pi\) |
−0.280482 | + | 0.959859i | \(0.590494\pi\) | |||||||
\(702\) | −57.1689 | + | 97.4197i | −2.15770 | + | 3.67687i | ||||
\(703\) | −10.7012 | + | 7.77487i | −0.403603 | + | 0.293235i | ||||
\(704\) | 19.8889 | − | 22.0888i | 0.749590 | − | 0.832504i | ||||
\(705\) | −7.88125 | + | 8.75301i | −0.296825 | + | 0.329657i | ||||
\(706\) | 29.4431 | + | 32.6999i | 1.10811 | + | 1.23068i | ||||
\(707\) | 6.84024 | 0.257254 | ||||||||
\(708\) | −7.30788 | + | 12.6576i | −0.274647 | + | 0.475703i | ||||
\(709\) | −18.0163 | − | 20.0091i | −0.676615 | − | 0.751457i | 0.302857 | − | 0.953036i | \(-0.402060\pi\) |
−0.979472 | + | 0.201579i | \(0.935393\pi\) | |||||||
\(710\) | −28.8447 | − | 20.9569i | −1.08252 | − | 0.786499i | ||||
\(711\) | −8.26257 | − | 78.6131i | −0.309871 | − | 2.94822i | ||||
\(712\) | −25.6755 | − | 44.4713i | −0.962231 | − | 1.66663i | ||||
\(713\) | −14.5327 | − | 9.64190i | −0.544255 | − | 0.361092i | ||||
\(714\) | −145.445 | −5.44314 | ||||||||
\(715\) | −32.7388 | + | 14.2993i | −1.22436 | + | 0.534764i | ||||
\(716\) | −30.3115 | − | 22.0226i | −1.13279 | − | 0.823023i | ||||
\(717\) | 70.8765 | − | 15.0653i | 2.64693 | − | 0.562623i | ||||
\(718\) | 5.18796 | + | 8.98580i | 0.193613 | + | 0.335347i | ||||
\(719\) | 6.98743 | − | 12.1026i | 0.260587 | − | 0.451350i | −0.705811 | − | 0.708400i | \(-0.749417\pi\) |
0.966398 | + | 0.257050i | \(0.0827505\pi\) | |||||||
\(720\) | 23.0776 | − | 71.0255i | 0.860051 | − | 2.64697i | ||||
\(721\) | −48.5636 | − | 10.3225i | −1.80860 | − | 0.384431i | ||||
\(722\) | 46.6406 | + | 9.91377i | 1.73578 | + | 0.368952i | ||||
\(723\) | 76.1980 | − | 55.3611i | 2.83383 | − | 2.05890i | ||||
\(724\) | −68.8736 | − | 76.4919i | −2.55967 | − | 2.84280i | ||||
\(725\) | −6.70913 | − | 2.98710i | −0.249171 | − | 0.110938i | ||||
\(726\) | −3.58932 | + | 34.1501i | −0.133212 | + | 1.26743i | ||||
\(727\) | −10.1062 | − | 31.1036i | −0.374818 | − | 1.15357i | −0.943602 | − | 0.331083i | \(-0.892586\pi\) |
0.568784 | − | 0.822487i | \(-0.307414\pi\) | |||||||
\(728\) | −18.6968 | + | 56.1858i | −0.692949 | + | 2.08238i | ||||
\(729\) | −11.7161 | − | 8.51222i | −0.433929 | − | 0.315268i | ||||
\(730\) | 0.140902 | − | 0.156487i | 0.00521502 | − | 0.00579186i | ||||
\(731\) | −5.11368 | + | 48.6534i | −0.189136 | + | 1.79951i | ||||
\(732\) | 9.27639 | + | 88.2589i | 0.342865 | + | 3.26214i | ||||
\(733\) | 13.6790 | − | 42.0997i | 0.505246 | − | 1.55499i | −0.295111 | − | 0.955463i | \(-0.595357\pi\) |
0.800357 | − | 0.599524i | \(-0.204643\pi\) | |||||||
\(734\) | −0.0289526 | − | 0.275466i | −0.00106866 | − | 0.0101676i | ||||
\(735\) | 29.6489 | + | 6.30206i | 1.09362 | + | 0.232455i | ||||
\(736\) | −0.335364 | − | 1.03215i | −0.0123617 | − | 0.0380454i | ||||
\(737\) | 13.1931 | + | 14.6525i | 0.485975 | + | 0.539730i | ||||
\(738\) | 39.1851 | + | 67.8705i | 1.44242 | + | 2.49835i | ||||
\(739\) | 13.6542 | + | 23.6498i | 0.502279 | + | 0.869973i | 0.999997 | + | 0.00263369i | \(0.000838331\pi\) |
−0.497717 | + | 0.867339i | \(0.665828\pi\) | |||||||
\(740\) | 6.71612 | − | 20.6701i | 0.246889 | − | 0.759847i | ||||
\(741\) | 69.3155 | − | 14.2212i | 2.54637 | − | 0.522428i | ||||
\(742\) | −9.39273 | + | 6.82422i | −0.344818 | + | 0.250525i | ||||
\(743\) | −6.81643 | − | 11.8064i | −0.250070 | − | 0.433135i | 0.713475 | − | 0.700681i | \(-0.247120\pi\) |
−0.963545 | + | 0.267546i | \(0.913787\pi\) | |||||||
\(744\) | 30.7761 | + | 82.5901i | 1.12831 | + | 3.02790i | ||||
\(745\) | 21.7521 | − | 37.6758i | 0.796937 | − | 1.38033i | ||||
\(746\) | 56.9257 | − | 41.3589i | 2.08420 | − | 1.51426i | ||||
\(747\) | 41.2755 | − | 18.3770i | 1.51019 | − | 0.672380i | ||||
\(748\) | 60.3270 | + | 66.9999i | 2.20577 | + | 2.44976i | ||||
\(749\) | 3.01017 | 0.109989 | ||||||||
\(750\) | 35.6399 | − | 61.7302i | 1.30139 | − | 2.25407i | ||||
\(751\) | −7.77340 | + | 1.65229i | −0.283655 | + | 0.0602928i | −0.347542 | − | 0.937664i | \(-0.612984\pi\) |
0.0638869 | + | 0.997957i | \(0.479650\pi\) | |||||||
\(752\) | 4.15278 | − | 4.61213i | 0.151436 | − | 0.168187i | ||||
\(753\) | 22.6595 | + | 69.7387i | 0.825757 | + | 2.54142i | ||||
\(754\) | −38.2353 | − | 28.1954i | −1.39245 | − | 1.02682i | ||||
\(755\) | −1.68986 | + | 5.20084i | −0.0615002 | + | 0.189278i | ||||
\(756\) | −154.431 | − | 68.7572i | −5.61661 | − | 2.50067i | ||||
\(757\) | −1.28521 | + | 12.2279i | −0.0467117 | + | 0.444432i | 0.946022 | + | 0.324102i | \(0.105062\pi\) |
−0.992734 | + | 0.120330i | \(0.961605\pi\) | |||||||
\(758\) | −34.2216 | − | 7.27403i | −1.24298 | − | 0.264205i | ||||
\(759\) | −31.5053 | − | 22.8899i | −1.14357 | − | 0.830851i | ||||
\(760\) | −71.4311 | + | 31.8032i | −2.59108 | + | 1.15362i | ||||
\(761\) | −39.9371 | − | 8.48889i | −1.44772 | − | 0.307722i | −0.584024 | − | 0.811737i | \(-0.698523\pi\) |
−0.863695 | + | 0.504014i | \(0.831856\pi\) | |||||||
\(762\) | −102.645 | − | 74.5759i | −3.71843 | − | 2.70160i | ||||
\(763\) | −3.41757 | − | 32.5160i | −0.123724 | − | 1.17716i | ||||
\(764\) | 2.54563 | − | 0.541091i | 0.0920977 | − | 0.0195760i | ||||
\(765\) | −92.2065 | − | 41.0530i | −3.33373 | − | 1.48427i | ||||
\(766\) | 1.17996 | + | 3.63155i | 0.0426338 | + | 0.131213i | ||||
\(767\) | 3.35382 | − | 2.40059i | 0.121099 | − | 0.0866803i | ||||
\(768\) | 31.5574 | − | 97.1236i | 1.13873 | − | 3.50465i | ||||
\(769\) | −23.1315 | − | 40.0650i | −0.834145 | − | 1.44478i | −0.894725 | − | 0.446617i | \(-0.852629\pi\) |
0.0605806 | − | 0.998163i | \(-0.480705\pi\) | |||||||
\(770\) | −39.9835 | − | 69.2534i | −1.44090 | − | 2.49572i | ||||
\(771\) | 29.8075 | + | 33.1046i | 1.07349 | + | 1.19223i | ||||
\(772\) | 9.22937 | + | 6.70553i | 0.332172 | + | 0.241337i | ||||
\(773\) | 0.752929 | + | 7.16364i | 0.0270810 | + | 0.257658i | 0.999683 | + | 0.0251814i | \(0.00801635\pi\) |
−0.972602 | + | 0.232477i | \(0.925317\pi\) | |||||||
\(774\) | −74.1973 | + | 128.514i | −2.66697 | + | 4.61932i | ||||
\(775\) | −1.11860 | − | 7.54122i | −0.0401814 | − | 0.270889i | ||||
\(776\) | −1.61775 | + | 2.80202i | −0.0580738 | + | 0.100587i | ||||
\(777\) | −20.2835 | − | 9.03078i | −0.727665 | − | 0.323977i | ||||
\(778\) | −2.53352 | + | 24.1048i | −0.0908311 | + | 0.864200i | ||||
\(779\) | 8.69427 | − | 26.7582i | 0.311504 | − | 0.958712i | ||||
\(780\) | −78.4057 | + | 85.8479i | −2.80738 | + | 3.07385i | ||||
\(781\) | 22.5781 | 0.807908 | ||||||||
\(782\) | −42.8369 | + | 9.10527i | −1.53184 | + | 0.325604i | ||||
\(783\) | 45.7676 | − | 50.8300i | 1.63560 | − | 1.81652i | ||||
\(784\) | −15.6226 | − | 3.32068i | −0.557949 | − | 0.118596i | ||||
\(785\) | −22.5493 | + | 16.3830i | −0.804819 | + | 0.584736i | ||||
\(786\) | −16.8151 | − | 18.6751i | −0.599775 | − | 0.666117i | ||||
\(787\) | −2.06181 | − | 19.6168i | −0.0734956 | − | 0.699264i | −0.967786 | − | 0.251776i | \(-0.918985\pi\) |
0.894290 | − | 0.447488i | \(-0.147681\pi\) | |||||||
\(788\) | 1.61950 | + | 1.17664i | 0.0576924 | + | 0.0419160i | ||||
\(789\) | 52.2125 | + | 11.0981i | 1.85881 | + | 0.395103i | ||||
\(790\) | 7.28974 | − | 69.3573i | 0.259357 | − | 2.46762i | ||||
\(791\) | 0.480414 | − | 4.57084i | 0.0170816 | − | 0.162520i | ||||
\(792\) | 42.6205 | + | 131.172i | 1.51445 | + | 4.66101i | ||||
\(793\) | 7.90719 | − | 23.7619i | 0.280793 | − | 0.843811i | ||||
\(794\) | −35.7507 | + | 25.9744i | −1.26874 | + | 0.921796i | ||||
\(795\) | −11.2452 | + | 2.39025i | −0.398827 | + | 0.0847733i | ||||
\(796\) | −82.9015 | − | 36.9101i | −2.93837 | − | 1.30825i | ||||
\(797\) | −22.0379 | − | 4.68430i | −0.780622 | − | 0.165926i | −0.199669 | − | 0.979863i | \(-0.563987\pi\) |
−0.580953 | + | 0.813937i | \(0.697320\pi\) | |||||||
\(798\) | 48.9441 | + | 150.634i | 1.73260 | + | 5.33240i | ||||
\(799\) | −5.61257 | − | 6.23339i | −0.198558 | − | 0.220522i | ||||
\(800\) | 0.237201 | − | 0.410845i | 0.00838633 | − | 0.0145255i | ||||
\(801\) | −72.1843 | −2.55051 | ||||||||
\(802\) | 40.1009 | + | 44.5366i | 1.41601 | + | 1.57264i | ||||
\(803\) | −0.0139386 | + | 0.132617i | −0.000491883 | + | 0.00467995i | ||||
\(804\) | 58.6187 | + | 26.0987i | 2.06732 | + | 0.920431i | ||||
\(805\) | 25.9709 | 0.915356 | ||||||||
\(806\) | 3.41307 | − | 49.1979i | 0.120220 | − | 1.73292i | ||||
\(807\) | −20.5175 | −0.722250 | ||||||||
\(808\) | −9.50877 | − | 4.23358i | −0.334517 | − | 0.148937i | ||||
\(809\) | −4.17540 | + | 39.7263i | −0.146799 | + | 1.39670i | 0.634682 | + | 0.772773i | \(0.281131\pi\) |
−0.781481 | + | 0.623929i | \(0.785536\pi\) | |||||||
\(810\) | −80.0677 | − | 88.9242i | −2.81329 | − | 3.12448i | ||||
\(811\) | −50.5329 | −1.77445 | −0.887225 | − | 0.461337i | \(-0.847370\pi\) | ||||
−0.887225 | + | 0.461337i | \(0.847370\pi\) | |||||||
\(812\) | 35.5489 | − | 61.5725i | 1.24752 | − | 2.16077i | ||||
\(813\) | 3.00809 | + | 3.34083i | 0.105498 | + | 0.117168i | ||||
\(814\) | 6.36110 | + | 19.5775i | 0.222957 | + | 0.686190i | ||||
\(815\) | 4.41576 | + | 0.938598i | 0.154677 | + | 0.0328777i | ||||
\(816\) | 69.3269 | + | 30.8663i | 2.42693 | + | 1.08054i | ||||
\(817\) | 52.1102 | − | 11.0764i | 1.82310 | − | 0.387513i | ||||
\(818\) | 51.8917 | − | 37.7015i | 1.81435 | − | 1.31820i | ||||
\(819\) | 55.2580 | + | 62.2512i | 1.93087 | + | 2.17523i | ||||
\(820\) | 14.2855 | + | 43.9662i | 0.498870 | + | 1.53536i | ||||
\(821\) | −2.73891 | + | 26.0590i | −0.0955887 | + | 0.909466i | 0.836678 | + | 0.547695i | \(0.184494\pi\) |
−0.932267 | + | 0.361771i | \(0.882172\pi\) | |||||||
\(822\) | −9.36358 | + | 89.0885i | −0.326592 | + | 3.10732i | ||||
\(823\) | −13.4877 | − | 2.86691i | −0.470153 | − | 0.0999342i | −0.0332585 | − | 0.999447i | \(-0.510588\pi\) |
−0.436895 | + | 0.899513i | \(0.643922\pi\) | |||||||
\(824\) | 61.1205 | + | 44.4067i | 2.12923 | + | 1.54698i | ||||
\(825\) | −1.77939 | − | 16.9298i | −0.0619506 | − | 0.589420i | ||||
\(826\) | 6.17745 | + | 6.86075i | 0.214941 | + | 0.238716i | ||||
\(827\) | −29.4905 | + | 21.4261i | −1.02549 | + | 0.745060i | −0.967400 | − | 0.253252i | \(-0.918500\pi\) |
−0.0580863 | + | 0.998312i | \(0.518500\pi\) | |||||||
\(828\) | −86.8764 | − | 18.4662i | −3.01916 | − | 0.641743i | ||||
\(829\) | 1.00956 | − | 1.12123i | 0.0350636 | − | 0.0389421i | −0.725358 | − | 0.688372i | \(-0.758326\pi\) |
0.760422 | + | 0.649430i | \(0.224992\pi\) | |||||||
\(830\) | 38.9909 | − | 8.28778i | 1.35339 | − | 0.287673i | ||||
\(831\) | 17.1551 | 0.595104 | ||||||||
\(832\) | −18.4083 | + | 20.1556i | −0.638192 | + | 0.698768i | ||||
\(833\) | −6.67042 | + | 20.5294i | −0.231116 | + | 0.711303i | ||||
\(834\) | −9.40348 | + | 89.4681i | −0.325616 | + | 3.09803i | ||||
\(835\) | 17.8326 | + | 7.93958i | 0.617122 | + | 0.274760i | ||||
\(836\) | 49.0897 | − | 85.0258i | 1.69780 | − | 2.94068i | ||||
\(837\) | 70.0166 | + | 11.7956i | 2.42013 | + | 0.407716i | ||||
\(838\) | −42.3343 | + | 73.3252i | −1.46241 | + | 2.53298i | ||||
\(839\) | 2.10057 | + | 19.9856i | 0.0725196 | + | 0.689978i | 0.969028 | + | 0.246951i | \(0.0794287\pi\) |
−0.896508 | + | 0.443027i | \(0.853905\pi\) | |||||||
\(840\) | −106.182 | − | 77.1461i | −3.66364 | − | 2.66179i | ||||
\(841\) | −0.155736 | − | 0.172963i | −0.00537022 | − | 0.00596424i | ||||
\(842\) | −30.7612 | − | 53.2800i | −1.06010 | − | 1.83615i | ||||
\(843\) | −38.6550 | − | 66.9525i | −1.33135 | − | 2.30597i | ||||
\(844\) | 29.6884 | − | 91.3714i | 1.02192 | − | 3.14513i | ||||
\(845\) | 30.1582 | − | 12.9186i | 1.03747 | − | 0.444415i | ||||
\(846\) | −7.86235 | − | 24.1978i | −0.270313 | − | 0.831939i | ||||
\(847\) | 13.2480 | + | 5.89837i | 0.455205 | + | 0.202670i | ||||
\(848\) | 5.92532 | − | 1.25947i | 0.203476 | − | 0.0432503i | ||||
\(849\) | −8.69745 | − | 82.7507i | −0.298496 | − | 2.84000i | ||||
\(850\) | −15.4876 | − | 11.2524i | −0.531220 | − | 0.385954i | ||||
\(851\) | −6.53931 | − | 1.38997i | −0.224165 | − | 0.0476477i | ||||
\(852\) | 67.1253 | − | 29.8861i | 2.29968 | − | 1.02388i | ||||
\(853\) | −2.56178 | − | 1.86125i | −0.0877138 | − | 0.0637278i | 0.543064 | − | 0.839691i | \(-0.317264\pi\) |
−0.630778 | + | 0.775963i | \(0.717264\pi\) | |||||||
\(854\) | 54.8309 | + | 11.6547i | 1.87627 | + | 0.398814i | ||||
\(855\) | −11.4891 | + | 109.311i | −0.392918 | + | 3.73837i | ||||
\(856\) | −4.18450 | − | 1.86306i | −0.143023 | − | 0.0636781i | ||||
\(857\) | −0.748170 | + | 2.30263i | −0.0255570 | + | 0.0786563i | −0.963022 | − | 0.269425i | \(-0.913167\pi\) |
0.937465 | + | 0.348081i | \(0.113167\pi\) | |||||||
\(858\) | 12.2858 | − | 109.431i | 0.419429 | − | 3.73591i | ||||
\(859\) | −10.7869 | − | 33.1987i | −0.368045 | − | 1.13272i | −0.948053 | − | 0.318114i | \(-0.896951\pi\) |
0.580008 | − | 0.814611i | \(-0.303049\pi\) | |||||||
\(860\) | −58.5721 | + | 65.0509i | −1.99729 | + | 2.21822i | ||||
\(861\) | 46.1948 | − | 9.81900i | 1.57431 | − | 0.334631i | ||||
\(862\) | −17.1008 | + | 29.6194i | −0.582454 | + | 1.00884i | ||||
\(863\) | −45.6483 | −1.55389 | −0.776943 | − | 0.629571i | \(-0.783231\pi\) | ||||
−0.776943 | + | 0.629571i | \(0.783231\pi\) | |||||||
\(864\) | 2.95644 | + | 3.28346i | 0.100580 | + | 0.111705i | ||||
\(865\) | 22.9187 | − | 10.2041i | 0.779260 | − | 0.346949i | ||||
\(866\) | −32.3507 | + | 23.5042i | −1.09932 | + | 0.798705i | ||||
\(867\) | 24.3661 | − | 42.2033i | 0.827515 | − | 1.43330i | ||||
\(868\) | 73.7386 | − | 3.13859i | 2.50285 | − | 0.106531i | ||||
\(869\) | 22.0814 | + | 38.2461i | 0.749060 | + | 1.29741i | ||||
\(870\) | 85.1881 | − | 61.8928i | 2.88815 | − | 2.09836i | ||||
\(871\) | −12.0204 | − | 13.5416i | −0.407296 | − | 0.458841i | ||||
\(872\) | −15.3741 | + | 47.3165i | −0.520631 | + | 1.60234i | ||||
\(873\) | 2.27407 | + | 3.93881i | 0.0769657 | + | 0.133309i | ||||
\(874\) | 23.8453 | + | 41.3013i | 0.806580 | + | 1.39704i | ||||
\(875\) | −20.1428 | − | 22.3708i | −0.680949 | − | 0.756271i | ||||
\(876\) | 0.134102 | + | 0.412724i | 0.00453089 | + | 0.0139447i | ||||
\(877\) | 29.6216 | + | 6.29627i | 1.00025 | + | 0.212610i | 0.678806 | − | 0.734318i | \(-0.262498\pi\) |
0.321446 | + | 0.946928i | \(0.395831\pi\) | |||||||
\(878\) | 4.32739 | + | 41.1724i | 0.146042 | + | 1.38950i | ||||
\(879\) | −8.84254 | + | 27.2146i | −0.298252 | + | 0.917924i | ||||
\(880\) | 4.36132 | + | 41.4952i | 0.147020 | + | 1.39880i | ||||
\(881\) | −3.16872 | + | 30.1484i | −0.106757 | + | 1.01572i | 0.801694 | + | 0.597734i | \(0.203932\pi\) |
−0.908451 | + | 0.417991i | \(0.862735\pi\) | |||||||
\(882\) | −43.8128 | + | 48.6591i | −1.47525 | + | 1.63844i | ||||
\(883\) | −40.4710 | − | 29.4039i | −1.36196 | − | 0.989520i | −0.998318 | − | 0.0579801i | \(-0.981534\pi\) |
−0.363639 | − | 0.931540i | \(-0.618466\pi\) | |||||||
\(884\) | −54.9646 | − | 61.9206i | −1.84866 | − | 2.08262i | ||||
\(885\) | 2.82495 | + | 8.69429i | 0.0949595 | + | 0.292255i | ||||
\(886\) | 4.35586 | − | 41.4433i | 0.146338 | − | 1.39231i | ||||
\(887\) | 14.4561 | + | 6.43626i | 0.485387 | + | 0.216108i | 0.634815 | − | 0.772664i | \(-0.281076\pi\) |
−0.149427 | + | 0.988773i | \(0.547743\pi\) | |||||||
\(888\) | 22.6071 | + | 25.1078i | 0.758646 | + | 0.842562i | ||||
\(889\) | −43.3490 | + | 31.4949i | −1.45388 | + | 1.05630i | ||||
\(890\) | −62.2937 | − | 13.2409i | −2.08809 | − | 0.443837i | ||||
\(891\) | 74.1190 | + | 15.7545i | 2.48308 | + | 0.527795i | ||||
\(892\) | −18.0335 | + | 55.5014i | −0.603806 | + | 1.85832i | ||||
\(893\) | −4.56710 | + | 7.91045i | −0.152832 | + | 0.264713i | ||||
\(894\) | 67.0479 | + | 116.130i | 2.24242 | + | 3.88398i | ||||
\(895\) | −22.9224 | + | 4.87231i | −0.766212 | + | 0.162863i | ||||
\(896\) | −51.2730 | − | 37.2520i | −1.71291 | − | 1.24450i | ||||
\(897\) | 28.7835 | + | 21.2255i | 0.961052 | + | 0.708698i | ||||
\(898\) | −53.9347 | −1.79982 | ||||||||
\(899\) | −8.01199 | + | 28.7679i | −0.267215 | + | 0.959464i | ||||
\(900\) | −19.4124 | − | 33.6233i | −0.647081 | − | 1.12078i | ||||
\(901\) | −0.855786 | − | 8.14226i | −0.0285104 | − | 0.271258i | ||||
\(902\) | −35.4229 | − | 25.7362i | −1.17945 | − | 0.856923i | ||||
\(903\) | 59.8366 | + | 66.4553i | 1.99124 | + | 2.21149i | ||||
\(904\) | −3.49683 | + | 6.05668i | −0.116303 | + | 0.201442i | ||||
\(905\) | −64.3796 | −2.14005 | ||||||||
\(906\) | −11.2788 | − | 12.5263i | −0.374712 | − | 0.416159i | ||||
\(907\) | 33.0235 | − | 36.6763i | 1.09653 | − | 1.21782i | 0.122241 | − | 0.992500i | \(-0.460992\pi\) |
0.974286 | − | 0.225316i | \(-0.0723414\pi\) | |||||||
\(908\) | −12.3521 | + | 13.7183i | −0.409917 | + | 0.455259i | ||||
\(909\) | −11.8371 | + | 8.60015i | −0.392612 | + | 0.285249i | ||||
\(910\) | 36.2678 | + | 63.8578i | 1.20227 | + | 2.11686i | ||||
\(911\) | 41.4170 | − | 30.0912i | 1.37221 | − | 0.996967i | 0.374647 | − | 0.927168i | \(-0.377764\pi\) |
0.997561 | − | 0.0697999i | \(-0.0222361\pi\) | |||||||
\(912\) | 8.63825 | − | 82.1874i | 0.286041 | − | 2.72150i | ||||
\(913\) | −16.8907 | + | 18.7591i | −0.559002 | + | 0.620834i | ||||
\(914\) | 75.3871 | − | 33.5645i | 2.49358 | − | 1.11021i | ||||
\(915\) | 44.9064 | + | 32.6264i | 1.48456 | + | 1.07860i | ||||
\(916\) | −56.3532 | − | 11.9782i | −1.86196 | − | 0.395772i | ||||
\(917\) | −9.69527 | + | 4.31661i | −0.320166 | + | 0.142547i | ||||
\(918\) | 144.243 | − | 104.799i | 4.76072 | − | 3.45887i | ||||
\(919\) | 11.5027 | + | 12.7750i | 0.379437 | + | 0.421408i | 0.902367 | − | 0.430968i | \(-0.141828\pi\) |
−0.522930 | + | 0.852376i | \(0.675161\pi\) | |||||||
\(920\) | −36.1028 | − | 16.0740i | −1.19027 | − | 0.529944i | ||||
\(921\) | 22.8766 | − | 25.4071i | 0.753811 | − | 0.837192i | ||||
\(922\) | 22.1833 | + | 68.2733i | 0.730569 | + | 2.24846i | ||||
\(923\) | −20.7342 | − | 0.146836i | −0.682476 | − | 0.00483317i | ||||
\(924\) | 164.800 | 5.42153 | ||||||||
\(925\) | −1.46120 | − | 2.53087i | −0.0480440 | − | 0.0832146i | ||||
\(926\) | −69.1999 | + | 14.7089i | −2.27405 | + | 0.483364i | ||||
\(927\) | 97.0181 | − | 43.1952i | 3.18649 | − | 1.41872i | ||||
\(928\) | −1.50337 | + | 1.09226i | −0.0493506 | + | 0.0358553i | ||||
\(929\) | −6.50256 | + | 11.2628i | −0.213342 | + | 0.369520i | −0.952758 | − | 0.303729i | \(-0.901768\pi\) |
0.739416 | + | 0.673249i | \(0.235102\pi\) | |||||||
\(930\) | 101.658 | + | 40.1730i | 3.33351 | + | 1.31732i | ||||
\(931\) | 23.5066 | 0.770398 | ||||||||
\(932\) | 4.34188 | + | 41.3103i | 0.142223 | + | 1.35316i | ||||
\(933\) | 8.10833 | − | 77.1456i | 0.265455 | − | 2.52564i | ||||
\(934\) | 33.0730 | − | 7.02989i | 1.08218 | − | 0.230025i | ||||
\(935\) | 56.3906 | 1.84417 | ||||||||
\(936\) | −38.2868 | − | 120.737i | −1.25144 | − | 3.94642i | ||||
\(937\) | 3.26446 | − | 10.0470i | 0.106645 | − | 0.328220i | −0.883468 | − | 0.468492i | \(-0.844798\pi\) |
0.990113 | + | 0.140271i | \(0.0447975\pi\) | |||||||
\(938\) | 27.1202 | − | 30.1201i | 0.885507 | − | 0.983455i | ||||
\(939\) | −26.7860 | + | 29.7489i | −0.874129 | + | 0.970819i | ||||
\(940\) | −1.56880 | − | 14.9261i | −0.0511685 | − | 0.486836i | ||||
\(941\) | −9.64932 | + | 29.6976i | −0.314559 | + | 0.968113i | 0.661377 | + | 0.750054i | \(0.269973\pi\) |
−0.975936 | + | 0.218059i | \(0.930027\pi\) | |||||||
\(942\) | −8.98035 | − | 85.4423i | −0.292596 | − | 2.78386i | ||||
\(943\) | 12.9907 | − | 5.78385i | 0.423037 | − | 0.188348i | ||||
\(944\) | −1.48852 | − | 4.58119i | −0.0484471 | − | 0.149105i | ||||
\(945\) | −96.5920 | + | 43.0055i | −3.14214 | + | 1.39897i | ||||
\(946\) | 8.66619 | − | 82.4533i | 0.281762 | − | 2.68079i | ||||
\(947\) | 12.7998 | − | 14.2156i | 0.415937 | − | 0.461945i | −0.498371 | − | 0.866964i | \(-0.666068\pi\) |
0.914308 | + | 0.405019i | \(0.132735\pi\) | |||||||
\(948\) | 116.274 | + | 84.4781i | 3.77641 | + | 2.74372i | ||||
\(949\) | 0.0136628 | − | 0.121696i | 0.000443512 | − | 0.00395042i | ||||
\(950\) | −6.44210 | + | 19.8268i | −0.209009 | + | 0.643265i | ||||
\(951\) | 69.0780 | + | 30.7555i | 2.24001 | + | 0.997315i | ||||
\(952\) | 62.5422 | − | 69.4601i | 2.02700 | − | 2.25122i | ||||
\(953\) | −3.41251 | − | 0.725352i | −0.110542 | − | 0.0234964i | 0.152308 | − | 0.988333i | \(-0.451329\pi\) |
−0.262851 | + | 0.964837i | \(0.584663\pi\) | |||||||
\(954\) | 7.67419 | − | 23.6187i | 0.248461 | − | 0.764685i | ||||
\(955\) | 0.813893 | − | 1.40970i | 0.0263370 | − | 0.0456169i | ||||
\(956\) | −46.1653 | + | 79.9607i | −1.49309 | + | 2.58611i | ||||
\(957\) | −20.6055 | + | 63.4171i | −0.666080 | + | 2.04998i | ||||
\(958\) | 68.5733 | − | 30.5308i | 2.21550 | − | 0.986405i | ||||
\(959\) | 34.5604 | + | 15.3873i | 1.11601 | + | 0.496881i | ||||
\(960\) | −30.2513 | − | 52.3968i | −0.976356 | − | 1.69110i | ||||
\(961\) | −29.6652 | + | 8.99857i | −0.956943 | + | 0.290276i | ||||
\(962\) | −5.71429 | − | 18.0200i | −0.184236 | − | 0.580988i | ||||
\(963\) | −5.20912 | + | 3.78465i | −0.167861 | + | 0.121959i | ||||
\(964\) | −12.5449 | + | 119.357i | −0.404045 | + | 3.84423i | ||||
\(965\) | 6.97951 | − | 1.48354i | 0.224678 | − | 0.0477569i | ||||
\(966\) | −40.0259 | + | 69.3268i | −1.28781 | + | 2.23055i | ||||
\(967\) | −24.1248 | −0.775800 | −0.387900 | − | 0.921701i | \(-0.626799\pi\) | ||||
−0.387900 | + | 0.921701i | \(0.626799\pi\) | |||||||
\(968\) | −14.7656 | − | 16.3989i | −0.474586 | − | 0.527081i | ||||
\(969\) | −109.249 | − | 23.2217i | −3.50959 | − | 0.745987i | ||||
\(970\) | 1.23998 | + | 3.81626i | 0.0398133 | + | 0.122533i | ||||
\(971\) | −1.93193 | − | 18.3811i | −0.0619986 | − | 0.589878i | −0.980781 | − | 0.195113i | \(-0.937493\pi\) |
0.918782 | − | 0.394765i | \(-0.129174\pi\) | |||||||
\(972\) | 90.2169 | − | 19.1762i | 2.89371 | − | 0.615077i | ||||
\(973\) | 34.7076 | + | 15.4528i | 1.11268 | + | 0.495395i | ||||
\(974\) | −48.2942 | − | 35.0878i | −1.54745 | − | 1.12429i | ||||
\(975\) | 1.52398 | + | 15.5588i | 0.0488063 | + | 0.498280i | ||||
\(976\) | −23.6620 | − | 17.1915i | −0.757403 | − | 0.550285i | ||||
\(977\) | −2.04728 | + | 19.4785i | −0.0654982 | + | 0.623173i | 0.911702 | + | 0.410852i | \(0.134769\pi\) |
−0.977200 | + | 0.212321i | \(0.931898\pi\) | |||||||
\(978\) | −9.31096 | + | 10.3409i | −0.297732 | + | 0.330665i | ||||
\(979\) | 36.8424 | − | 16.4033i | 1.17749 | − | 0.524252i | ||||
\(980\) | −31.2471 | + | 22.7023i | −0.998151 | + | 0.725199i | ||||
\(981\) | 46.7961 | + | 51.9724i | 1.49409 | + | 1.65935i | ||||
\(982\) | −0.346513 | − | 3.29685i | −0.0110577 | − | 0.105207i | ||||
\(983\) | 11.6623 | + | 35.8930i | 0.371971 | + | 1.14481i | 0.945500 | + | 0.325623i | \(0.105574\pi\) |
−0.573529 | + | 0.819185i | \(0.694426\pi\) | |||||||
\(984\) | −70.2935 | − | 14.9414i | −2.24088 | − | 0.476313i | ||||
\(985\) | 1.22471 | − | 0.260321i | 0.0390226 | − | 0.00829451i | ||||
\(986\) | 37.4937 | + | 64.9410i | 1.19404 | + | 2.06814i | ||||
\(987\) | −15.3323 | −0.488033 | ||||||||
\(988\) | −45.6337 | + | 77.7628i | −1.45180 | + | 2.47397i | ||||
\(989\) | 21.7836 | + | 15.8267i | 0.692677 | + | 0.503259i | ||||
\(990\) | 156.263 | + | 69.5728i | 4.96637 | + | 2.21117i | ||||
\(991\) | −0.527238 | − | 0.913204i | −0.0167483 | − | 0.0290089i | 0.857530 | − | 0.514434i | \(-0.171998\pi\) |
−0.874278 | + | 0.485425i | \(0.838665\pi\) | |||||||
\(992\) | −1.79404 | − | 0.708960i | −0.0569607 | − | 0.0225095i | ||||
\(993\) | −9.79049 | −0.310692 | ||||||||
\(994\) | −4.85140 | − | 46.1580i | −0.153877 | − | 1.46404i | ||||
\(995\) | −51.8524 | + | 23.0862i | −1.64383 | + | 0.731881i | ||||
\(996\) | −25.3857 | + | 78.1291i | −0.804376 | + | 2.47562i | ||||
\(997\) | −26.8060 | + | 46.4293i | −0.848953 | + | 1.47043i | 0.0331901 | + | 0.999449i | \(0.489433\pi\) |
−0.882143 | + | 0.470981i | \(0.843900\pi\) | |||||||
\(998\) | 15.1287 | + | 26.2036i | 0.478890 | + | 0.829462i | ||||
\(999\) | 26.6229 | − | 5.65887i | 0.842310 | − | 0.179039i |
(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 | 403.2.bl.b.16.3 | ✓ | 280 | |
13.9 | even | 3 | inner | 403.2.bl.b.295.33 | yes | 280 | |
31.2 | even | 5 | inner | 403.2.bl.b.250.33 | yes | 280 | |
403.126 | even | 15 | inner | 403.2.bl.b.126.3 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.3 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.126.3 | yes | 280 | 403.126 | even | 15 | inner | |
403.2.bl.b.250.33 | yes | 280 | 31.2 | even | 5 | inner | |
403.2.bl.b.295.33 | yes | 280 | 13.9 | even | 3 | inner |