Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.37 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.37 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.559437 | − | 1.29886i | 0.395582 | − | 0.918431i | ||||
\(3\) | −0.154412 | + | 1.72515i | −0.0891497 | + | 0.996018i | ||||
\(4\) | −1.37406 | − | 1.45326i | −0.687030 | − | 0.726629i | ||||
\(5\) | −0.778418 | + | 2.09620i | −0.348119 | + | 0.937450i | ||||
\(6\) | 2.15435 | + | 1.16567i | 0.879508 | + | 0.475884i | ||||
\(7\) | 3.14870 | 1.19010 | 0.595049 | − | 0.803690i | \(-0.297133\pi\) | ||||
0.595049 | + | 0.803690i | \(0.297133\pi\) | |||||||
\(8\) | −2.65627 | + | 0.971702i | −0.939135 | + | 0.343549i | ||||
\(9\) | −2.95231 | − | 0.532768i | −0.984105 | − | 0.177589i | ||||
\(10\) | 2.28719 | + | 2.18375i | 0.723274 | + | 0.690562i | ||||
\(11\) | 1.76255 | + | 1.28057i | 0.531429 | + | 0.386106i | 0.820892 | − | 0.571083i | \(-0.193477\pi\) |
−0.289463 | + | 0.957189i | \(0.593477\pi\) | |||||||
\(12\) | 2.71926 | − | 2.14607i | 0.784984 | − | 0.619516i | ||||
\(13\) | 2.63696 | + | 3.62946i | 0.731361 | + | 1.00663i | 0.999069 | + | 0.0431323i | \(0.0137337\pi\) |
−0.267708 | + | 0.963500i | \(0.586266\pi\) | |||||||
\(14\) | 1.76150 | − | 4.08971i | 0.470781 | − | 1.09302i | ||||
\(15\) | −3.49608 | − | 1.66657i | −0.902683 | − | 0.430307i | ||||
\(16\) | −0.223916 | + | 3.99373i | −0.0559789 | + | 0.998432i | ||||
\(17\) | −1.48600 | + | 4.57343i | −0.360407 | + | 1.10922i | 0.592400 | + | 0.805644i | \(0.298181\pi\) |
−0.952807 | + | 0.303576i | \(0.901819\pi\) | |||||||
\(18\) | −2.34362 | + | 3.53658i | −0.552397 | + | 0.833581i | ||||
\(19\) | 2.98189 | + | 0.968874i | 0.684092 | + | 0.222275i | 0.630386 | − | 0.776282i | \(-0.282897\pi\) |
0.0537059 | + | 0.998557i | \(0.482897\pi\) | |||||||
\(20\) | 4.11592 | − | 1.74907i | 0.920347 | − | 0.391103i | ||||
\(21\) | −0.486197 | + | 5.43200i | −0.106097 | + | 1.18536i | ||||
\(22\) | 2.64931 | − | 1.57291i | 0.564836 | − | 0.335345i | ||||
\(23\) | 4.21422 | − | 5.80038i | 0.878726 | − | 1.20946i | −0.0980458 | − | 0.995182i | \(-0.531259\pi\) |
0.976772 | − | 0.214281i | \(-0.0687408\pi\) | |||||||
\(24\) | −1.26618 | − | 4.73253i | −0.258457 | − | 0.966023i | ||||
\(25\) | −3.78813 | − | 3.26345i | −0.757626 | − | 0.652689i | ||||
\(26\) | 6.18937 | − | 1.39458i | 1.21384 | − | 0.273499i | ||||
\(27\) | 1.37498 | − | 5.01093i | 0.264615 | − | 0.964354i | ||||
\(28\) | −4.32651 | − | 4.57588i | −0.817633 | − | 0.864759i | ||||
\(29\) | −1.17852 | + | 0.382923i | −0.218845 | + | 0.0711070i | −0.416387 | − | 0.909187i | \(-0.636704\pi\) |
0.197542 | + | 0.980294i | \(0.436704\pi\) | |||||||
\(30\) | −4.12047 | + | 3.60856i | −0.752292 | + | 0.658830i | ||||
\(31\) | −5.04721 | − | 1.63994i | −0.906506 | − | 0.294542i | −0.181587 | − | 0.983375i | \(-0.558123\pi\) |
−0.724920 | + | 0.688833i | \(0.758123\pi\) | |||||||
\(32\) | 5.06202 | + | 2.52507i | 0.894846 | + | 0.446374i | ||||
\(33\) | −2.48134 | + | 2.84294i | −0.431946 | + | 0.494892i | ||||
\(34\) | 5.10891 | + | 4.48865i | 0.876171 | + | 0.769796i | ||||
\(35\) | −2.45101 | + | 6.60032i | −0.414296 | + | 1.11566i | ||||
\(36\) | 3.28241 | + | 5.02253i | 0.547068 | + | 0.837088i | ||||
\(37\) | −5.18020 | − | 7.12994i | −0.851620 | − | 1.17215i | −0.983503 | − | 0.180889i | \(-0.942102\pi\) |
0.131884 | − | 0.991265i | \(-0.457898\pi\) | |||||||
\(38\) | 2.92661 | − | 3.33102i | 0.474758 | − | 0.540363i | ||||
\(39\) | −6.66856 | + | 3.98873i | −1.06782 | + | 0.638708i | ||||
\(40\) | 0.0308082 | − | 6.32448i | 0.00487121 | − | 0.999988i | ||||
\(41\) | −3.03863 | − | 4.18232i | −0.474555 | − | 0.653169i | 0.502892 | − | 0.864349i | \(-0.332269\pi\) |
−0.977447 | + | 0.211180i | \(0.932269\pi\) | |||||||
\(42\) | 6.78339 | + | 3.67036i | 1.04670 | + | 0.566349i | ||||
\(43\) | 0.651734 | 0.0993885 | 0.0496942 | − | 0.998764i | \(-0.484175\pi\) | ||||
0.0496942 | + | 0.998764i | \(0.484175\pi\) | |||||||
\(44\) | −0.560856 | − | 4.32102i | −0.0845523 | − | 0.651419i | ||||
\(45\) | 3.41493 | − | 5.77393i | 0.509067 | − | 0.860727i | ||||
\(46\) | −5.17627 | − | 8.71862i | −0.763200 | − | 1.28549i | ||||
\(47\) | 0.972428 | − | 0.315961i | 0.141843 | − | 0.0460877i | −0.237235 | − | 0.971452i | \(-0.576241\pi\) |
0.379078 | + | 0.925365i | \(0.376241\pi\) | |||||||
\(48\) | −6.85522 | − | 1.00297i | −0.989466 | − | 0.144766i | ||||
\(49\) | 2.91433 | 0.416332 | ||||||||
\(50\) | −6.35797 | + | 3.09455i | −0.899153 | + | 0.437635i | ||||
\(51\) | −7.66042 | − | 3.26977i | −1.07267 | − | 0.457859i | ||||
\(52\) | 1.65120 | − | 8.81929i | 0.228981 | − | 1.22301i | ||||
\(53\) | −0.802886 | − | 2.47103i | −0.110285 | − | 0.339422i | 0.880650 | − | 0.473768i | \(-0.157107\pi\) |
−0.990934 | + | 0.134346i | \(0.957107\pi\) | |||||||
\(54\) | −5.73927 | − | 4.58920i | −0.781016 | − | 0.624511i | ||||
\(55\) | −4.05634 | + | 2.69785i | −0.546956 | + | 0.363778i | ||||
\(56\) | −8.36382 | + | 3.05960i | −1.11766 | + | 0.408856i | ||||
\(57\) | −2.13190 | + | 4.99461i | −0.282376 | + | 0.661552i | ||||
\(58\) | −0.161943 | + | 1.74495i | −0.0212642 | + | 0.229123i | ||||
\(59\) | 2.99418 | − | 2.17540i | 0.389809 | − | 0.283213i | −0.375568 | − | 0.926795i | \(-0.622552\pi\) |
0.765377 | + | 0.643582i | \(0.222552\pi\) | |||||||
\(60\) | 2.38186 | + | 7.37067i | 0.307497 | + | 0.951549i | ||||
\(61\) | 10.3472 | + | 7.51767i | 1.32482 | + | 0.962538i | 0.999859 | + | 0.0168114i | \(0.00535148\pi\) |
0.324962 | + | 0.945727i | \(0.394649\pi\) | |||||||
\(62\) | −4.95365 | + | 5.63817i | −0.629114 | + | 0.716048i | ||||
\(63\) | −9.29596 | − | 1.67753i | −1.17118 | − | 0.211349i | ||||
\(64\) | 6.11159 | − | 5.16222i | 0.763949 | − | 0.645277i | ||||
\(65\) | −9.66075 | + | 2.70236i | −1.19827 | + | 0.335187i | ||||
\(66\) | 2.30442 | + | 4.81335i | 0.283655 | + | 0.592482i | ||||
\(67\) | 3.32333 | − | 10.2281i | 0.406009 | − | 1.24957i | −0.514041 | − | 0.857766i | \(-0.671852\pi\) |
0.920050 | − | 0.391802i | \(-0.128148\pi\) | |||||||
\(68\) | 8.68822 | − | 4.12463i | 1.05360 | − | 0.500185i | ||||
\(69\) | 9.35582 | + | 8.16583i | 1.12631 | + | 0.983051i | ||||
\(70\) | 7.20169 | + | 6.87597i | 0.860766 | + | 0.821836i | ||||
\(71\) | 3.91937 | + | 12.0626i | 0.465144 | + | 1.43157i | 0.858802 | + | 0.512308i | \(0.171210\pi\) |
−0.393658 | + | 0.919257i | \(0.628790\pi\) | |||||||
\(72\) | 8.35985 | − | 1.45359i | 0.985218 | − | 0.171307i | ||||
\(73\) | 6.85959 | − | 9.44142i | 0.802855 | − | 1.10503i | −0.189532 | − | 0.981875i | \(-0.560697\pi\) |
0.992387 | − | 0.123160i | \(-0.0393029\pi\) | |||||||
\(74\) | −12.1588 | + | 2.73959i | −1.41343 | + | 0.318471i | ||||
\(75\) | 6.21488 | − | 6.03119i | 0.717632 | − | 0.696422i | ||||
\(76\) | −2.68927 | − | 5.66474i | −0.308480 | − | 0.649790i | ||||
\(77\) | 5.54975 | + | 4.03213i | 0.632453 | + | 0.459504i | ||||
\(78\) | 1.45015 | + | 10.8930i | 0.164197 | + | 1.23338i | ||||
\(79\) | −10.8901 | + | 3.53841i | −1.22523 | + | 0.398103i | −0.848986 | − | 0.528416i | \(-0.822786\pi\) |
−0.376249 | + | 0.926519i | \(0.622786\pi\) | |||||||
\(80\) | −8.19736 | − | 3.57816i | −0.916493 | − | 0.400051i | ||||
\(81\) | 8.43232 | + | 3.14580i | 0.936924 | + | 0.349533i | ||||
\(82\) | −7.13216 | + | 1.60701i | −0.787616 | + | 0.177464i | ||||
\(83\) | 4.25869 | + | 1.38373i | 0.467451 | + | 0.151884i | 0.533266 | − | 0.845948i | \(-0.320965\pi\) |
−0.0658144 | + | 0.997832i | \(0.520965\pi\) | |||||||
\(84\) | 8.56216 | − | 6.75732i | 0.934208 | − | 0.737284i | ||||
\(85\) | −8.43011 | − | 6.67500i | −0.914374 | − | 0.724005i | ||||
\(86\) | 0.364604 | − | 0.846509i | 0.0393163 | − | 0.0912814i | ||||
\(87\) | −0.478625 | − | 2.09225i | −0.0513139 | − | 0.224313i | ||||
\(88\) | −5.92615 | − | 1.68887i | −0.631730 | − | 0.180034i | ||||
\(89\) | 1.83218 | − | 2.52177i | 0.194210 | − | 0.267308i | −0.700795 | − | 0.713362i | \(-0.747171\pi\) |
0.895006 | + | 0.446055i | \(0.147171\pi\) | |||||||
\(90\) | −5.58908 | − | 7.66565i | −0.589140 | − | 0.808031i | ||||
\(91\) | 8.30300 | + | 11.4281i | 0.870391 | + | 1.19799i | ||||
\(92\) | −14.2200 | + | 1.84572i | −1.48254 | + | 0.192430i | ||||
\(93\) | 3.60850 | − | 8.45400i | 0.374184 | − | 0.876639i | ||||
\(94\) | 0.133624 | − | 1.43981i | 0.0137823 | − | 0.148505i | ||||
\(95\) | −4.35211 | + | 5.49645i | −0.446517 | + | 0.563924i | ||||
\(96\) | −5.13778 | + | 8.34286i | −0.524372 | + | 0.851489i | ||||
\(97\) | −3.13732 | + | 1.01938i | −0.318546 | + | 0.103502i | −0.463926 | − | 0.885874i | \(-0.653560\pi\) |
0.145380 | + | 0.989376i | \(0.453560\pi\) | |||||||
\(98\) | 1.63038 | − | 3.78529i | 0.164693 | − | 0.382372i | ||||
\(99\) | −4.52136 | − | 4.71967i | −0.454414 | − | 0.474345i | ||||
\(100\) | 0.462492 | + | 9.98930i | 0.0462492 | + | 0.998930i | ||||
\(101\) | 0.736578i | 0.0732922i | 0.999328 | + | 0.0366461i | \(0.0116674\pi\) | ||||
−0.999328 | + | 0.0366461i | \(0.988333\pi\) | |||||||
\(102\) | −8.53248 | + | 8.12056i | −0.844842 | + | 0.804055i | ||||
\(103\) | −2.07137 | − | 6.37502i | −0.204098 | − | 0.628150i | −0.999749 | − | 0.0223945i | \(-0.992871\pi\) |
0.795651 | − | 0.605755i | \(-0.207129\pi\) | |||||||
\(104\) | −10.5312 | − | 7.07851i | −1.03267 | − | 0.694105i | ||||
\(105\) | −11.0081 | − | 5.24753i | −1.07428 | − | 0.512107i | ||||
\(106\) | −3.65868 | − | 0.339551i | −0.355362 | − | 0.0329801i | ||||
\(107\) | − | 2.15398i | − | 0.208233i | −0.994565 | − | 0.104116i | \(-0.966799\pi\) | ||
0.994565 | − | 0.104116i | \(-0.0332014\pi\) | |||||||
\(108\) | −9.17148 | + | 4.88712i | −0.882526 | + | 0.470264i | ||||
\(109\) | −13.4159 | + | 9.74722i | −1.28501 | + | 0.933614i | −0.999692 | − | 0.0248185i | \(-0.992099\pi\) |
−0.285318 | + | 0.958433i | \(0.592099\pi\) | |||||||
\(110\) | 1.23485 | + | 6.77788i | 0.117739 | + | 0.646245i | ||||
\(111\) | 13.1001 | − | 7.83570i | 1.24341 | − | 0.743732i | ||||
\(112\) | −0.705044 | + | 12.5751i | −0.0666204 | + | 1.18823i | ||||
\(113\) | 12.7227 | − | 9.24356i | 1.19685 | − | 0.869561i | 0.202877 | − | 0.979204i | \(-0.434971\pi\) |
0.993971 | + | 0.109643i | \(0.0349709\pi\) | |||||||
\(114\) | 5.29462 | + | 5.56320i | 0.495887 | + | 0.521041i | ||||
\(115\) | 8.87834 | + | 13.3490i | 0.827910 | + | 1.24480i | ||||
\(116\) | 2.17584 | + | 1.18653i | 0.202022 | + | 0.110166i | ||||
\(117\) | −5.85147 | − | 12.1202i | −0.540969 | − | 1.12051i | ||||
\(118\) | −1.15048 | − | 5.10601i | −0.105910 | − | 0.470047i | ||||
\(119\) | −4.67896 | + | 14.4004i | −0.428920 | + | 1.32008i | ||||
\(120\) | 10.9059 | + | 1.02972i | 0.995572 | + | 0.0940004i | ||||
\(121\) | −1.93245 | − | 5.94748i | −0.175678 | − | 0.540680i | ||||
\(122\) | 15.5530 | − | 9.23385i | 1.40810 | − | 0.835993i | ||||
\(123\) | 7.68435 | − | 4.59631i | 0.692875 | − | 0.414436i | ||||
\(124\) | 4.55192 | + | 9.58828i | 0.408775 | + | 0.861053i | ||||
\(125\) | 9.78959 | − | 5.40036i | 0.875608 | − | 0.483023i | ||||
\(126\) | −7.37937 | + | 11.1357i | −0.657407 | + | 0.992043i | ||||
\(127\) | −3.49604 | − | 2.54002i | −0.310223 | − | 0.225390i | 0.421769 | − | 0.906703i | \(-0.361409\pi\) |
−0.731992 | + | 0.681313i | \(0.761409\pi\) | |||||||
\(128\) | −3.28593 | − | 10.8260i | −0.290438 | − | 0.956894i | ||||
\(129\) | −0.100635 | + | 1.12434i | −0.00886045 | + | 0.0989927i | ||||
\(130\) | −1.89460 | + | 14.0597i | −0.166167 | + | 1.23312i | ||||
\(131\) | 1.63335 | − | 5.02693i | 0.142706 | − | 0.439205i | −0.854003 | − | 0.520269i | \(-0.825832\pi\) |
0.996709 | + | 0.0810640i | \(0.0258318\pi\) | |||||||
\(132\) | 7.54103 | − | 0.300347i | 0.656363 | − | 0.0261419i | ||||
\(133\) | 9.38907 | + | 3.05070i | 0.814136 | + | 0.264529i | ||||
\(134\) | −11.4257 | − | 10.0385i | −0.987031 | − | 0.867197i | ||||
\(135\) | 9.43362 | + | 6.78284i | 0.811916 | + | 0.583774i | ||||
\(136\) | −0.496795 | − | 13.5922i | −0.0425999 | − | 1.16552i | ||||
\(137\) | −8.06374 | + | 5.85865i | −0.688932 | + | 0.500538i | −0.876309 | − | 0.481750i | \(-0.840001\pi\) |
0.187377 | + | 0.982288i | \(0.440001\pi\) | |||||||
\(138\) | 15.8402 | − | 7.58361i | 1.34841 | − | 0.645560i | ||||
\(139\) | 3.77253 | − | 5.19245i | 0.319982 | − | 0.440417i | −0.618480 | − | 0.785801i | \(-0.712251\pi\) |
0.938462 | + | 0.345383i | \(0.112251\pi\) | |||||||
\(140\) | 12.9598 | − | 5.50729i | 1.09530 | − | 0.465451i | ||||
\(141\) | 0.394927 | + | 1.72638i | 0.0332589 | + | 0.145387i | ||||
\(142\) | 17.8602 | + | 1.65755i | 1.49880 | + | 0.139099i | ||||
\(143\) | 9.77393i | 0.817337i | ||||||||
\(144\) | 2.78880 | − | 11.6714i | 0.232400 | − | 0.972620i | ||||
\(145\) | 0.114694 | − | 2.76848i | 0.00952485 | − | 0.229910i | ||||
\(146\) | −8.42555 | − | 14.1915i | −0.697303 | − | 1.17450i | ||||
\(147\) | −0.450006 | + | 5.02766i | −0.0371159 | + | 0.414675i | ||||
\(148\) | −3.24372 | + | 17.3251i | −0.266632 | + | 1.42412i | ||||
\(149\) | 7.76880i | 0.636445i | 0.948016 | + | 0.318222i | \(0.103086\pi\) | ||||
−0.948016 | + | 0.318222i | \(0.896914\pi\) | |||||||
\(150\) | −4.35683 | − | 11.4463i | −0.355733 | − | 0.934587i | ||||
\(151\) | 5.58897i | 0.454824i | 0.973799 | + | 0.227412i | \(0.0730265\pi\) | ||||
−0.973799 | + | 0.227412i | \(0.926974\pi\) | |||||||
\(152\) | −8.86217 | + | 0.323912i | −0.718817 | + | 0.0262727i | ||||
\(153\) | 6.82371 | − | 12.7105i | 0.551664 | − | 1.02758i | ||||
\(154\) | 8.34190 | − | 4.95261i | 0.672209 | − | 0.399093i | ||||
\(155\) | 7.36649 | − | 9.30342i | 0.591691 | − | 0.747269i | ||||
\(156\) | 14.9597 | + | 4.21038i | 1.19773 | + | 0.337100i | ||||
\(157\) | 11.7964i | 0.941452i | 0.882279 | + | 0.470726i | \(0.156008\pi\) | ||||
−0.882279 | + | 0.470726i | \(0.843992\pi\) | |||||||
\(158\) | −1.49644 | + | 16.1242i | −0.119050 | + | 1.28277i | ||||
\(159\) | 4.38688 | − | 1.00355i | 0.347902 | − | 0.0795864i | ||||
\(160\) | −9.23343 | + | 8.64545i | −0.729967 | + | 0.683483i | ||||
\(161\) | 13.2693 | − | 18.2637i | 1.04577 | − | 1.43938i | ||||
\(162\) | 8.80329 | − | 9.19250i | 0.691652 | − | 0.722231i | ||||
\(163\) | 16.2585 | − | 11.8125i | 1.27347 | − | 0.925228i | 0.274132 | − | 0.961692i | \(-0.411609\pi\) |
0.999335 | + | 0.0364641i | \(0.0116095\pi\) | |||||||
\(164\) | −1.90272 | + | 10.1627i | −0.148578 | + | 0.793572i | ||||
\(165\) | −4.02786 | − | 7.41438i | −0.313568 | − | 0.577209i | ||||
\(166\) | 4.17974 | − | 4.75731i | 0.324410 | − | 0.369239i | ||||
\(167\) | 10.8653 | + | 3.53036i | 0.840784 | + | 0.273187i | 0.697581 | − | 0.716506i | \(-0.254260\pi\) |
0.143203 | + | 0.989693i | \(0.454260\pi\) | |||||||
\(168\) | −3.98681 | − | 14.9013i | −0.307589 | − | 1.14966i | ||||
\(169\) | −2.20223 | + | 6.77777i | −0.169402 | + | 0.521367i | ||||
\(170\) | −13.3860 | + | 7.21527i | −1.02666 | + | 0.553386i | ||||
\(171\) | −8.28728 | − | 4.44907i | −0.633744 | − | 0.340229i | ||||
\(172\) | −0.895522 | − | 0.947137i | −0.0682829 | − | 0.0722185i | ||||
\(173\) | −8.36246 | − | 6.07568i | −0.635786 | − | 0.461926i | 0.222614 | − | 0.974907i | \(-0.428541\pi\) |
−0.858400 | + | 0.512981i | \(0.828541\pi\) | |||||||
\(174\) | −2.98529 | − | 0.548817i | −0.226315 | − | 0.0416057i | ||||
\(175\) | −11.9277 | − | 10.2756i | −0.901649 | − | 0.776764i | ||||
\(176\) | −5.50891 | + | 6.75241i | −0.415250 | + | 0.508982i | ||||
\(177\) | 3.29056 | + | 5.50133i | 0.247334 | + | 0.413505i | ||||
\(178\) | −2.25044 | − | 3.79051i | −0.168677 | − | 0.284111i | ||||
\(179\) | −5.35967 | − | 16.4954i | −0.400600 | − | 1.23292i | −0.924514 | − | 0.381149i | \(-0.875528\pi\) |
0.523913 | − | 0.851772i | \(-0.324472\pi\) | |||||||
\(180\) | −13.0833 | + | 2.97096i | −0.975173 | + | 0.221443i | ||||
\(181\) | −1.65808 | + | 5.10304i | −0.123244 | + | 0.379306i | −0.993577 | − | 0.113158i | \(-0.963904\pi\) |
0.870333 | + | 0.492464i | \(0.163904\pi\) | |||||||
\(182\) | 19.4885 | − | 4.39111i | 1.44458 | − | 0.325491i | ||||
\(183\) | −14.5669 | + | 16.6897i | −1.07681 | + | 1.23374i | ||||
\(184\) | −5.55789 | + | 19.5024i | −0.409733 | + | 1.43773i | ||||
\(185\) | 18.9782 | − | 5.30868i | 1.39530 | − | 0.390302i | ||||
\(186\) | −8.96181 | − | 9.41640i | −0.657112 | − | 0.690444i | ||||
\(187\) | −8.47574 | + | 6.15799i | −0.619808 | + | 0.450317i | ||||
\(188\) | −1.79535 | − | 0.979039i | −0.130939 | − | 0.0714038i | ||||
\(189\) | 4.32940 | − | 15.7779i | 0.314918 | − | 1.14768i | ||||
\(190\) | 4.70437 | + | 8.72769i | 0.341291 | + | 0.633173i | ||||
\(191\) | 17.5836 | − | 12.7752i | 1.27230 | − | 0.924382i | 0.273011 | − | 0.962011i | \(-0.411980\pi\) |
0.999292 | + | 0.0376288i | \(0.0119805\pi\) | |||||||
\(192\) | 7.96192 | + | 11.3405i | 0.574602 | + | 0.818433i | ||||
\(193\) | − | 4.54215i | − | 0.326951i | −0.986547 | − | 0.163476i | \(-0.947730\pi\) | ||
0.986547 | − | 0.163476i | \(-0.0522705\pi\) | |||||||
\(194\) | −0.431107 | + | 4.64520i | −0.0309517 | + | 0.333506i | ||||
\(195\) | −3.17025 | − | 17.0836i | −0.227027 | − | 1.22338i | ||||
\(196\) | −4.00446 | − | 4.23527i | −0.286033 | − | 0.302519i | ||||
\(197\) | 6.54918 | + | 20.1563i | 0.466610 | + | 1.43608i | 0.856947 | + | 0.515405i | \(0.172359\pi\) |
−0.390337 | + | 0.920672i | \(0.627641\pi\) | |||||||
\(198\) | −8.65960 | + | 3.23224i | −0.615411 | + | 0.229705i | ||||
\(199\) | − | 13.2061i | − | 0.936152i | −0.883688 | − | 0.468076i | \(-0.844947\pi\) | ||
0.883688 | − | 0.468076i | \(-0.155053\pi\) | |||||||
\(200\) | 13.2334 | + | 4.98767i | 0.935743 | + | 0.352682i | ||||
\(201\) | 17.1320 | + | 7.31260i | 1.20840 | + | 0.515791i | ||||
\(202\) | 0.956709 | + | 0.412069i | 0.0673138 | + | 0.0289931i | ||||
\(203\) | −3.71080 | + | 1.20571i | −0.260447 | + | 0.0846243i | ||||
\(204\) | 5.77406 | + | 15.6254i | 0.404265 | + | 1.09400i | ||||
\(205\) | 11.1323 | − | 3.11400i | 0.777515 | − | 0.217491i | ||||
\(206\) | −9.43905 | − | 0.876009i | −0.657650 | − | 0.0610345i | ||||
\(207\) | −15.5320 | + | 14.8793i | −1.07955 | + | 1.03419i | ||||
\(208\) | −15.0855 | + | 9.71861i | −1.04599 | + | 0.673864i | ||||
\(209\) | 4.01502 | + | 5.52620i | 0.277725 | + | 0.382255i | ||||
\(210\) | −12.9741 | + | 11.3623i | −0.895300 | + | 0.784072i | ||||
\(211\) | −4.11230 | + | 5.66009i | −0.283102 | + | 0.389657i | −0.926758 | − | 0.375658i | \(-0.877417\pi\) |
0.643656 | + | 0.765315i | \(0.277417\pi\) | |||||||
\(212\) | −2.48783 | + | 4.56214i | −0.170865 | + | 0.313329i | ||||
\(213\) | −21.4150 | + | 4.89891i | −1.46733 | + | 0.335668i | ||||
\(214\) | −2.79771 | − | 1.20501i | −0.191247 | − | 0.0823731i | ||||
\(215\) | −0.507322 | + | 1.36617i | −0.0345990 | + | 0.0931717i | ||||
\(216\) | 1.21681 | + | 14.6465i | 0.0827935 | + | 0.996567i | ||||
\(217\) | −15.8922 | − | 5.16368i | −1.07883 | − | 0.350533i | ||||
\(218\) | 5.15490 | + | 22.8783i | 0.349134 | + | 1.54951i | ||||
\(219\) | 15.2287 | + | 13.2917i | 1.02906 | + | 0.898171i | ||||
\(220\) | 9.49432 | + | 2.18789i | 0.640107 | + | 0.147508i | ||||
\(221\) | −20.5176 | + | 6.66658i | −1.38016 | + | 0.448443i | ||||
\(222\) | −2.84876 | − | 21.3988i | −0.191196 | − | 1.43619i | ||||
\(223\) | 3.65405 | + | 2.65482i | 0.244693 | + | 0.177780i | 0.703372 | − | 0.710822i | \(-0.251677\pi\) |
−0.458678 | + | 0.888602i | \(0.651677\pi\) | |||||||
\(224\) | 15.9388 | + | 7.95070i | 1.06495 | + | 0.531229i | ||||
\(225\) | 9.44509 | + | 11.6529i | 0.629673 | + | 0.776861i | ||||
\(226\) | −4.88853 | − | 21.6961i | −0.325180 | − | 1.44320i | ||||
\(227\) | −9.30073 | + | 12.8014i | −0.617311 | + | 0.849656i | −0.997154 | − | 0.0753949i | \(-0.975978\pi\) |
0.379842 | + | 0.925051i | \(0.375978\pi\) | |||||||
\(228\) | 10.1878 | − | 3.76470i | 0.674704 | − | 0.249324i | ||||
\(229\) | 5.40156 | + | 16.6243i | 0.356945 | + | 1.09856i | 0.954873 | + | 0.297014i | \(0.0959909\pi\) |
−0.597928 | + | 0.801550i | \(0.704009\pi\) | |||||||
\(230\) | 22.3053 | − | 4.06378i | 1.47077 | − | 0.267958i | ||||
\(231\) | −7.81300 | + | 8.95157i | −0.514057 | + | 0.588970i | ||||
\(232\) | 2.75837 | − | 2.16232i | 0.181096 | − | 0.141963i | ||||
\(233\) | −0.673758 | + | 2.07361i | −0.0441393 | + | 0.135847i | −0.970698 | − | 0.240304i | \(-0.922753\pi\) |
0.926558 | + | 0.376151i | \(0.122753\pi\) | |||||||
\(234\) | −19.0159 | + | 0.819734i | −1.24311 | + | 0.0535877i | ||||
\(235\) | −0.0946377 | + | 2.28436i | −0.00617348 | + | 0.149015i | ||||
\(236\) | −7.27560 | − | 1.36219i | −0.473601 | − | 0.0886707i | ||||
\(237\) | −4.42275 | − | 19.3335i | −0.287288 | − | 1.25585i | ||||
\(238\) | 16.0864 | + | 14.1334i | 1.04273 | + | 0.916133i | ||||
\(239\) | −15.5633 | − | 11.3074i | −1.00671 | − | 0.731416i | −0.0431918 | − | 0.999067i | \(-0.513753\pi\) |
−0.963516 | + | 0.267651i | \(0.913753\pi\) | |||||||
\(240\) | 7.43865 | − | 13.5892i | 0.480163 | − | 0.877179i | ||||
\(241\) | −13.6390 | + | 9.90929i | −0.878563 | + | 0.638313i | −0.932871 | − | 0.360211i | \(-0.882705\pi\) |
0.0543080 | + | 0.998524i | \(0.482705\pi\) | |||||||
\(242\) | −8.80602 | − | 0.817259i | −0.566072 | − | 0.0525354i | ||||
\(243\) | −6.72904 | + | 14.0613i | −0.431668 | + | 0.902033i | ||||
\(244\) | −3.29254 | − | 25.3668i | −0.210784 | − | 1.62395i | ||||
\(245\) | −2.26857 | + | 6.10902i | −0.144933 | + | 0.390291i | ||||
\(246\) | −1.67105 | − | 12.5522i | −0.106542 | − | 0.800301i | ||||
\(247\) | 4.34662 | + | 13.3775i | 0.276569 | + | 0.851192i | ||||
\(248\) | 15.0003 | − | 0.548261i | 0.952521 | − | 0.0348146i | ||||
\(249\) | −3.04474 | + | 7.13323i | −0.192953 | + | 0.452050i | ||||
\(250\) | −1.53764 | − | 15.7364i | −0.0972487 | − | 0.995260i | ||||
\(251\) | −11.6721 | −0.736734 | −0.368367 | − | 0.929680i | \(-0.620083\pi\) | ||||
−0.368367 | + | 0.929680i | \(0.620083\pi\) | |||||||
\(252\) | 10.3353 | + | 15.8144i | 0.651064 | + | 0.996217i | ||||
\(253\) | 14.8556 | − | 4.82687i | 0.933962 | − | 0.303463i | ||||
\(254\) | −5.25493 | + | 3.11987i | −0.329724 | + | 0.195758i | ||||
\(255\) | 12.8171 | − | 13.5125i | 0.802638 | − | 0.846188i | ||||
\(256\) | −15.8997 | − | 1.78852i | −0.993733 | − | 0.111782i | ||||
\(257\) | −20.2519 | −1.26328 | −0.631639 | − | 0.775262i | \(-0.717618\pi\) | ||||
−0.631639 | + | 0.775262i | \(0.717618\pi\) | |||||||
\(258\) | 1.40406 | + | 0.759709i | 0.0874129 | + | 0.0472974i | ||||
\(259\) | −16.3109 | − | 22.4500i | −1.01351 | − | 1.39498i | ||||
\(260\) | 17.2017 | + | 10.3264i | 1.06680 | + | 0.640413i | ||||
\(261\) | 3.68336 | − | 0.502633i | 0.227994 | − | 0.0311122i | ||||
\(262\) | −5.61551 | − | 4.93373i | −0.346927 | − | 0.304807i | ||||
\(263\) | 5.07241 | + | 6.98157i | 0.312778 | + | 0.430502i | 0.936245 | − | 0.351348i | \(-0.114276\pi\) |
−0.623467 | + | 0.781850i | \(0.714276\pi\) | |||||||
\(264\) | 3.82862 | − | 9.96275i | 0.235636 | − | 0.613165i | ||||
\(265\) | 5.80476 | + | 0.240483i | 0.356583 | + | 0.0147727i | ||||
\(266\) | 9.21501 | − | 10.4884i | 0.565009 | − | 0.643085i | ||||
\(267\) | 4.06754 | + | 3.55018i | 0.248929 | + | 0.217267i | ||||
\(268\) | −19.4306 | + | 9.22444i | −1.18691 | + | 0.563473i | ||||
\(269\) | −23.6312 | − | 7.67824i | −1.44082 | − | 0.468150i | −0.518666 | − | 0.854977i | \(-0.673571\pi\) |
−0.922153 | + | 0.386826i | \(0.873571\pi\) | |||||||
\(270\) | 14.0875 | − | 8.45835i | 0.857335 | − | 0.514759i | ||||
\(271\) | −23.5753 | + | 7.66008i | −1.43210 | + | 0.465316i | −0.919424 | − | 0.393268i | \(-0.871345\pi\) |
−0.512673 | + | 0.858584i | \(0.671345\pi\) | |||||||
\(272\) | −17.9323 | − | 6.95873i | −1.08731 | − | 0.421935i | ||||
\(273\) | −20.9973 | + | 12.5593i | −1.27082 | + | 0.760125i | ||||
\(274\) | 3.09840 | + | 13.7512i | 0.187181 | + | 0.830740i | ||||
\(275\) | −2.49771 | − | 10.6030i | −0.150617 | − | 0.639382i | ||||
\(276\) | −0.988412 | − | 24.8168i | −0.0594954 | − | 1.49379i | ||||
\(277\) | 2.68838 | − | 3.70024i | 0.161529 | − | 0.222326i | −0.720579 | − | 0.693373i | \(-0.756124\pi\) |
0.882108 | + | 0.471047i | \(0.156124\pi\) | |||||||
\(278\) | −4.63375 | − | 7.80483i | −0.277914 | − | 0.468102i | ||||
\(279\) | 14.0273 | + | 7.53061i | 0.839790 | + | 0.450846i | ||||
\(280\) | 0.0970060 | − | 19.9139i | 0.00579722 | − | 1.19008i | ||||
\(281\) | 9.45731 | + | 3.07287i | 0.564176 | + | 0.183312i | 0.577199 | − | 0.816603i | \(-0.304146\pi\) |
−0.0130233 | + | 0.999915i | \(0.504146\pi\) | |||||||
\(282\) | 2.46325 | + | 0.452845i | 0.146685 | + | 0.0269665i | ||||
\(283\) | 0.948172 | − | 2.91817i | 0.0563630 | − | 0.173467i | −0.918912 | − | 0.394463i | \(-0.870931\pi\) |
0.975275 | + | 0.220996i | \(0.0709306\pi\) | |||||||
\(284\) | 12.1446 | − | 22.2706i | 0.720649 | − | 1.32152i | ||||
\(285\) | −8.81021 | − | 8.35678i | −0.521872 | − | 0.495013i | ||||
\(286\) | 12.6949 | + | 5.46790i | 0.750668 | + | 0.323324i | ||||
\(287\) | −9.56776 | − | 13.1689i | −0.564767 | − | 0.777335i | ||||
\(288\) | −13.5994 | − | 10.1517i | −0.801351 | − | 0.598194i | ||||
\(289\) | −4.95479 | − | 3.59987i | −0.291458 | − | 0.211757i | ||||
\(290\) | −3.53170 | − | 1.69776i | −0.207389 | − | 0.0996961i | ||||
\(291\) | −1.27414 | − | 5.56976i | −0.0746915 | − | 0.326505i | ||||
\(292\) | −23.1463 | + | 3.00433i | −1.35454 | + | 0.175815i | ||||
\(293\) | −2.31737 | −0.135382 | −0.0676912 | − | 0.997706i | \(-0.521563\pi\) | ||||
−0.0676912 | + | 0.997706i | \(0.521563\pi\) | |||||||
\(294\) | 6.27847 | + | 3.39715i | 0.366168 | + | 0.198126i | ||||
\(295\) | 2.22935 | + | 7.96978i | 0.129798 | + | 0.464019i | ||||
\(296\) | 20.6882 | + | 13.9055i | 1.20248 | + | 0.808238i | ||||
\(297\) | 8.84032 | − | 7.07127i | 0.512967 | − | 0.410317i | ||||
\(298\) | 10.0906 | + | 4.34615i | 0.584530 | + | 0.251766i | ||||
\(299\) | 32.1650 | 1.86015 | ||||||||
\(300\) | −17.3045 | − | 0.744595i | −0.999076 | − | 0.0429892i | ||||
\(301\) | 2.05212 | 0.118282 | ||||||||
\(302\) | 7.25928 | + | 3.12668i | 0.417725 | + | 0.179920i | ||||
\(303\) | −1.27071 | − | 0.113736i | −0.0730004 | − | 0.00653398i | ||||
\(304\) | −4.53711 | + | 11.6919i | −0.260221 | + | 0.670576i | ||||
\(305\) | −23.8130 | + | 15.8379i | −1.36353 | + | 0.906875i | ||||
\(306\) | −12.6917 | − | 15.9738i | −0.725536 | − | 0.913159i | ||||
\(307\) | 28.8797 | 1.64825 | 0.824126 | − | 0.566407i | \(-0.191667\pi\) | ||||
0.824126 | + | 0.566407i | \(0.191667\pi\) | |||||||
\(308\) | −1.76597 | − | 13.6056i | −0.100625 | − | 0.775252i | ||||
\(309\) | 11.3177 | − | 2.58906i | 0.643844 | − | 0.147286i | ||||
\(310\) | −7.96273 | − | 14.7727i | −0.452253 | − | 0.839033i | ||||
\(311\) | −18.7272 | − | 13.6061i | −1.06192 | − | 0.771533i | −0.0874808 | − | 0.996166i | \(-0.527882\pi\) |
−0.974443 | + | 0.224633i | \(0.927882\pi\) | |||||||
\(312\) | 13.8377 | − | 17.0750i | 0.783404 | − | 0.966683i | ||||
\(313\) | 3.63733 | + | 5.00635i | 0.205594 | + | 0.282976i | 0.899346 | − | 0.437239i | \(-0.144043\pi\) |
−0.693752 | + | 0.720214i | \(0.744043\pi\) | |||||||
\(314\) | 15.3218 | + | 6.59932i | 0.864659 | + | 0.372421i | ||||
\(315\) | 10.7526 | − | 18.1804i | 0.605840 | − | 1.02435i | ||||
\(316\) | 20.1059 | + | 10.9642i | 1.13105 | + | 0.616782i | ||||
\(317\) | 9.58331 | − | 29.4944i | 0.538252 | − | 1.65657i | −0.198263 | − | 0.980149i | \(-0.563530\pi\) |
0.736515 | − | 0.676421i | \(-0.236470\pi\) | |||||||
\(318\) | 1.15072 | − | 6.25935i | 0.0645292 | − | 0.351007i | ||||
\(319\) | −2.56756 | − | 0.834249i | −0.143756 | − | 0.0467090i | ||||
\(320\) | 6.06368 | + | 16.8295i | 0.338970 | + | 0.940797i | ||||
\(321\) | 3.71594 | + | 0.332599i | 0.207404 | + | 0.0185639i | ||||
\(322\) | −16.2985 | − | 27.4523i | −0.908282 | − | 1.52986i | ||||
\(323\) | −8.86216 | + | 12.1977i | −0.493104 | + | 0.678699i | ||||
\(324\) | −7.01486 | − | 16.5768i | −0.389714 | − | 0.920936i | ||||
\(325\) | 1.85541 | − | 22.3545i | 0.102920 | − | 1.24000i | ||||
\(326\) | −6.24715 | − | 27.7259i | −0.345998 | − | 1.53559i | ||||
\(327\) | −14.7439 | − | 24.6496i | −0.815339 | − | 1.36312i | ||||
\(328\) | 12.1354 | + | 8.15675i | 0.670067 | + | 0.450381i | ||||
\(329\) | 3.06189 | − | 0.994867i | 0.168807 | − | 0.0548488i | ||||
\(330\) | −11.8836 | + | 1.08373i | −0.654168 | + | 0.0596574i | ||||
\(331\) | 12.3747 | + | 4.02077i | 0.680173 | + | 0.221002i | 0.628671 | − | 0.777671i | \(-0.283599\pi\) |
0.0515019 | + | 0.998673i | \(0.483599\pi\) | |||||||
\(332\) | −3.84077 | − | 8.09030i | −0.210790 | − | 0.444013i | ||||
\(333\) | 11.4950 | + | 23.8097i | 0.629921 | + | 1.30476i | ||||
\(334\) | 10.6639 | − | 12.1375i | 0.583502 | − | 0.664134i | ||||
\(335\) | 18.8533 | + | 14.9281i | 1.03007 | + | 0.815612i | ||||
\(336\) | −21.5851 | − | 3.15805i | −1.17756 | − | 0.172286i | ||||
\(337\) | 13.4721 | + | 18.5428i | 0.733872 | + | 1.01009i | 0.998948 | + | 0.0458606i | \(0.0146030\pi\) |
−0.265076 | + | 0.964228i | \(0.585397\pi\) | |||||||
\(338\) | 7.57135 | + | 6.65212i | 0.411827 | + | 0.361828i | ||||
\(339\) | 13.9820 | + | 23.3759i | 0.759400 | + | 1.26960i | ||||
\(340\) | 1.88299 | + | 21.4230i | 0.102120 | + | 1.16182i | ||||
\(341\) | −6.79592 | − | 9.35379i | −0.368020 | − | 0.506536i | ||||
\(342\) | −10.4149 | + | 8.27502i | −0.563175 | + | 0.447462i | ||||
\(343\) | −12.8646 | −0.694621 | ||||||||
\(344\) | −1.73118 | + | 0.633291i | −0.0933392 | + | 0.0341448i | ||||
\(345\) | −24.4000 | + | 13.2553i | −1.31365 | + | 0.713640i | ||||
\(346\) | −12.5697 | + | 7.46268i | −0.675752 | + | 0.401196i | ||||
\(347\) | −27.6581 | + | 8.98666i | −1.48477 | + | 0.482429i | −0.935533 | − | 0.353240i | \(-0.885080\pi\) |
−0.549232 | + | 0.835670i | \(0.685080\pi\) | |||||||
\(348\) | −2.38292 | + | 3.57044i | −0.127738 | + | 0.191396i | ||||
\(349\) | 5.92600 | 0.317212 | 0.158606 | − | 0.987342i | \(-0.449300\pi\) | ||||
0.158606 | + | 0.987342i | \(0.449300\pi\) | |||||||
\(350\) | −20.0194 | + | 9.74381i | −1.07008 | + | 0.520828i | ||||
\(351\) | 21.8128 | − | 8.22319i | 1.16428 | − | 0.438921i | ||||
\(352\) | 5.68854 | + | 10.9328i | 0.303200 | + | 0.582722i | ||||
\(353\) | 2.48576 | + | 7.65037i | 0.132303 | + | 0.407188i | 0.995161 | − | 0.0982593i | \(-0.0313274\pi\) |
−0.862857 | + | 0.505447i | \(0.831327\pi\) | |||||||
\(354\) | 8.98631 | − | 1.19632i | 0.477617 | − | 0.0635839i | ||||
\(355\) | −28.3365 | − | 1.17394i | −1.50395 | − | 0.0623064i | ||||
\(356\) | −6.18231 | + | 0.802446i | −0.327662 | + | 0.0425296i | ||||
\(357\) | −24.1204 | − | 10.2955i | −1.27659 | − | 0.544897i | ||||
\(358\) | −24.4235 | − | 2.26667i | −1.29082 | − | 0.119797i | ||||
\(359\) | −1.50430 | + | 1.09294i | −0.0793940 | + | 0.0576831i | −0.626774 | − | 0.779201i | \(-0.715625\pi\) |
0.547380 | + | 0.836884i | \(0.315625\pi\) | |||||||
\(360\) | −3.46044 | + | 18.6554i | −0.182381 | + | 0.983228i | ||||
\(361\) | −7.41839 | − | 5.38978i | −0.390442 | − | 0.283672i | ||||
\(362\) | 5.70053 | + | 5.00844i | 0.299613 | + | 0.263238i | ||||
\(363\) | 10.5587 | − | 2.41542i | 0.554189 | − | 0.126777i | ||||
\(364\) | 5.19915 | − | 27.7693i | 0.272510 | − | 1.45551i | ||||
\(365\) | 14.4515 | + | 21.7285i | 0.756426 | + | 1.13732i | ||||
\(366\) | 13.5283 | + | 28.2571i | 0.707133 | + | 1.47702i | ||||
\(367\) | 0.121948 | − | 0.375316i | 0.00636561 | − | 0.0195913i | −0.947823 | − | 0.318796i | \(-0.896721\pi\) |
0.954189 | + | 0.299205i | \(0.0967214\pi\) | |||||||
\(368\) | 22.2215 | + | 18.1293i | 1.15838 | + | 0.945053i | ||||
\(369\) | 6.74280 | + | 13.9664i | 0.351016 | + | 0.727063i | ||||
\(370\) | 3.72187 | − | 27.6198i | 0.193491 | − | 1.43588i | ||||
\(371\) | −2.52805 | − | 7.78053i | −0.131250 | − | 0.403945i | ||||
\(372\) | −17.2441 | + | 6.37223i | −0.894066 | + | 0.330385i | ||||
\(373\) | −11.2377 | + | 15.4674i | −0.581868 | + | 0.800872i | −0.993899 | − | 0.110297i | \(-0.964820\pi\) |
0.412031 | + | 0.911170i | \(0.364820\pi\) | |||||||
\(374\) | 3.25670 | + | 14.4538i | 0.168400 | + | 0.747388i | ||||
\(375\) | 7.80483 | + | 17.7224i | 0.403039 | + | 0.915183i | ||||
\(376\) | −2.27602 | + | 1.78419i | −0.117377 | + | 0.0920126i | ||||
\(377\) | −4.49751 | − | 3.26763i | −0.231633 | − | 0.168291i | ||||
\(378\) | −18.0713 | − | 14.4500i | −0.929485 | − | 0.743229i | ||||
\(379\) | 3.28955 | − | 1.06884i | 0.168973 | − | 0.0549027i | −0.223309 | − | 0.974748i | \(-0.571686\pi\) |
0.392282 | + | 0.919845i | \(0.371686\pi\) | |||||||
\(380\) | 13.9678 | − | 1.22771i | 0.716534 | − | 0.0629804i | ||||
\(381\) | 4.92175 | − | 5.63899i | 0.252149 | − | 0.288894i | ||||
\(382\) | −6.75628 | − | 29.9855i | −0.345681 | − | 1.53419i | ||||
\(383\) | −18.3405 | − | 5.95919i | −0.937156 | − | 0.304500i | −0.199670 | − | 0.979863i | \(-0.563987\pi\) |
−0.737486 | + | 0.675363i | \(0.763987\pi\) | |||||||
\(384\) | 19.1839 | − | 3.99708i | 0.978976 | − | 0.203975i | ||||
\(385\) | −12.7722 | + | 8.49472i | −0.650931 | + | 0.432931i | ||||
\(386\) | −5.89961 | − | 2.54105i | −0.300282 | − | 0.129336i | ||||
\(387\) | −1.92412 | − | 0.347223i | −0.0978087 | − | 0.0176503i | ||||
\(388\) | 5.79228 | + | 3.15865i | 0.294058 | + | 0.160356i | ||||
\(389\) | −9.43895 | + | 12.9916i | −0.478574 | + | 0.658700i | −0.978230 | − | 0.207524i | \(-0.933460\pi\) |
0.499656 | + | 0.866224i | \(0.333460\pi\) | |||||||
\(390\) | −23.9627 | − | 5.43947i | −1.21340 | − | 0.275438i | ||||
\(391\) | 20.2653 | + | 27.8928i | 1.02486 | + | 1.41060i | ||||
\(392\) | −7.74125 | + | 2.83186i | −0.390992 | + | 0.143030i | ||||
\(393\) | 8.42002 | + | 3.59399i | 0.424734 | + | 0.181293i | ||||
\(394\) | 29.8440 | + | 2.76973i | 1.50352 | + | 0.139537i | ||||
\(395\) | 1.05984 | − | 25.5823i | 0.0533262 | − | 1.28718i | ||||
\(396\) | −0.646279 | + | 13.0558i | −0.0324767 | + | 0.656080i | ||||
\(397\) | −0.716276 | + | 0.232732i | −0.0359489 | + | 0.0116805i | −0.326936 | − | 0.945046i | \(-0.606016\pi\) |
0.290987 | + | 0.956727i | \(0.406016\pi\) | |||||||
\(398\) | −17.1528 | − | 7.38795i | −0.859791 | − | 0.370325i | ||||
\(399\) | −6.71270 | + | 15.7265i | −0.336056 | + | 0.787312i | ||||
\(400\) | 13.8815 | − | 14.3980i | 0.694077 | − | 0.719901i | ||||
\(401\) | 8.21552i | 0.410264i | 0.978734 | + | 0.205132i | \(0.0657623\pi\) | ||||
−0.978734 | + | 0.205132i | \(0.934238\pi\) | |||||||
\(402\) | 19.0823 | − | 18.1611i | 0.951738 | − | 0.905791i | ||||
\(403\) | −7.35720 | − | 22.6431i | −0.366488 | − | 1.12794i | ||||
\(404\) | 1.07044 | − | 1.01210i | 0.0532562 | − | 0.0503540i | ||||
\(405\) | −13.1581 | + | 15.2271i | −0.653831 | + | 0.756640i | ||||
\(406\) | −0.509910 | + | 5.49431i | −0.0253064 | + | 0.272678i | ||||
\(407\) | − | 19.2005i | − | 0.951733i | ||||||
\(408\) | 23.5254 | + | 1.24175i | 1.16468 | + | 0.0614759i | ||||
\(409\) | 26.4187 | − | 19.1943i | 1.30632 | − | 0.949096i | 0.306323 | − | 0.951928i | \(-0.400901\pi\) |
0.999996 | + | 0.00283185i | \(0.000901408\pi\) | |||||||
\(410\) | 2.18320 | − | 16.2014i | 0.107820 | − | 0.800129i | ||||
\(411\) | −8.86194 | − | 14.8158i | −0.437127 | − | 0.730812i | ||||
\(412\) | −6.41836 | + | 11.7699i | −0.316210 | + | 0.579862i | ||||
\(413\) | 9.42778 | − | 6.84969i | 0.463911 | − | 0.337051i | ||||
\(414\) | 10.6370 | + | 28.4979i | 0.522779 | + | 1.40059i | ||||
\(415\) | −6.21562 | + | 7.84995i | −0.305113 | + | 0.385339i | ||||
\(416\) | 4.18367 | + | 25.0309i | 0.205121 | + | 1.22724i | ||||
\(417\) | 8.37525 | + | 7.30997i | 0.410138 | + | 0.357971i | ||||
\(418\) | 9.42390 | − | 2.12338i | 0.460938 | − | 0.103858i | ||||
\(419\) | −0.230406 | + | 0.709116i | −0.0112561 | + | 0.0346426i | −0.956527 | − | 0.291644i | \(-0.905798\pi\) |
0.945271 | + | 0.326287i | \(0.105798\pi\) | |||||||
\(420\) | 7.49978 | + | 23.2080i | 0.365952 | + | 1.13244i | ||||
\(421\) | 4.36803 | + | 13.4434i | 0.212885 | + | 0.655192i | 0.999297 | + | 0.0374897i | \(0.0119362\pi\) |
−0.786412 | + | 0.617702i | \(0.788064\pi\) | |||||||
\(422\) | 5.05108 | + | 8.50775i | 0.245883 | + | 0.414151i | ||||
\(423\) | −3.03925 | + | 0.414737i | −0.147773 | + | 0.0201652i | ||||
\(424\) | 4.53379 | + | 5.78356i | 0.220180 | + | 0.280875i | ||||
\(425\) | 20.5543 | − | 12.4753i | 0.997030 | − | 0.605140i | ||||
\(426\) | −5.61736 | + | 30.5557i | −0.272162 | + | 1.48043i | ||||
\(427\) | 32.5802 | + | 23.6709i | 1.57667 | + | 1.14551i | ||||
\(428\) | −3.13028 | + | 2.95969i | −0.151308 | + | 0.143062i | ||||
\(429\) | −16.8615 | − | 1.50921i | −0.814083 | − | 0.0728653i | ||||
\(430\) | 1.49064 | + | 1.42322i | 0.0718850 | + | 0.0686339i | ||||
\(431\) | −2.59889 | + | 7.99856i | −0.125184 | + | 0.385277i | −0.993935 | − | 0.109973i | \(-0.964924\pi\) |
0.868750 | + | 0.495250i | \(0.164924\pi\) | |||||||
\(432\) | 19.7044 | + | 6.61332i | 0.948029 | + | 0.318183i | ||||
\(433\) | −37.6095 | − | 12.2201i | −1.80739 | − | 0.587258i | −0.807399 | − | 0.590006i | \(-0.799125\pi\) |
−0.999996 | + | 0.00274802i | \(0.999125\pi\) | |||||||
\(434\) | −15.5976 | + | 17.7529i | −0.748707 | + | 0.852167i | ||||
\(435\) | 4.75835 | + | 0.625352i | 0.228145 | + | 0.0299833i | ||||
\(436\) | 32.5995 | + | 6.10349i | 1.56123 | + | 0.292304i | ||||
\(437\) | 18.1862 | − | 13.2130i | 0.869963 | − | 0.632065i | ||||
\(438\) | 25.7836 | − | 12.3440i | 1.23199 | − | 0.589821i | ||||
\(439\) | −12.6738 | + | 17.4441i | −0.604890 | + | 0.832559i | −0.996145 | − | 0.0877231i | \(-0.972041\pi\) |
0.391255 | + | 0.920282i | \(0.372041\pi\) | |||||||
\(440\) | 8.15324 | − | 11.1078i | 0.388690 | − | 0.529542i | ||||
\(441\) | −8.60401 | − | 1.55266i | −0.409715 | − | 0.0739362i | ||||
\(442\) | −2.81938 | + | 30.3790i | −0.134104 | + | 1.44498i | ||||
\(443\) | − | 17.3000i | − | 0.821948i | −0.911647 | − | 0.410974i | \(-0.865189\pi\) | ||
0.911647 | − | 0.410974i | \(-0.134811\pi\) | |||||||
\(444\) | −29.3877 | − | 8.27113i | −1.39468 | − | 0.392530i | ||||
\(445\) | 3.85995 | + | 5.80361i | 0.182979 | + | 0.275117i | ||||
\(446\) | 5.49245 | − | 3.26088i | 0.260075 | − | 0.154407i | ||||
\(447\) | −13.4024 | − | 1.19959i | −0.633910 | − | 0.0567388i | ||||
\(448\) | 19.2436 | − | 16.2543i | 0.909173 | − | 0.767943i | ||||
\(449\) | 5.83429i | 0.275337i | 0.990478 | + | 0.137669i | \(0.0439609\pi\) | ||||
−0.990478 | + | 0.137669i | \(0.956039\pi\) | |||||||
\(450\) | 20.4194 | − | 5.74875i | 0.962580 | − | 0.270999i | ||||
\(451\) | − | 11.2627i | − | 0.530342i | ||||||
\(452\) | −30.9150 | − | 5.78810i | −1.45412 | − | 0.272250i | ||||
\(453\) | −9.64184 | − | 0.863003i | −0.453013 | − | 0.0405474i | ||||
\(454\) | 11.4240 | + | 19.2419i | 0.536153 | + | 0.903066i | ||||
\(455\) | −30.4188 | + | 8.50893i | −1.42606 | + | 0.398905i | ||||
\(456\) | 0.809625 | − | 15.3386i | 0.0379142 | − | 0.718297i | ||||
\(457\) | 2.37590i | 0.111140i | 0.998455 | + | 0.0555699i | \(0.0176976\pi\) | ||||
−0.998455 | + | 0.0555699i | \(0.982302\pi\) | |||||||
\(458\) | 24.6144 | + | 2.28439i | 1.15016 | + | 0.106742i | ||||
\(459\) | 20.8739 | + | 13.7346i | 0.974312 | + | 0.641077i | ||||
\(460\) | 7.20014 | − | 31.2448i | 0.335708 | − | 1.45680i | ||||
\(461\) | 8.59164 | − | 11.8254i | 0.400152 | − | 0.550762i | −0.560630 | − | 0.828067i | \(-0.689441\pi\) |
0.960782 | + | 0.277304i | \(0.0894409\pi\) | |||||||
\(462\) | 7.25593 | + | 15.1558i | 0.337577 | + | 0.705112i | ||||
\(463\) | 5.25785 | − | 3.82005i | 0.244353 | − | 0.177533i | −0.458867 | − | 0.888505i | \(-0.651745\pi\) |
0.703220 | + | 0.710972i | \(0.251745\pi\) | |||||||
\(464\) | −1.26540 | − | 4.79241i | −0.0587448 | − | 0.222482i | ||||
\(465\) | 14.9124 | + | 14.1449i | 0.691544 | + | 0.655953i | ||||
\(466\) | 2.31640 | + | 2.03517i | 0.107305 | + | 0.0942774i | ||||
\(467\) | −21.8778 | − | 7.10854i | −1.01239 | − | 0.328944i | −0.244581 | − | 0.969629i | \(-0.578651\pi\) |
−0.767804 | + | 0.640685i | \(0.778651\pi\) | |||||||
\(468\) | −9.57351 | + | 25.1576i | −0.442536 | + | 1.16291i | ||||
\(469\) | 10.4642 | − | 32.2054i | 0.483190 | − | 1.48711i | ||||
\(470\) | 2.91411 | + | 1.40087i | 0.134418 | + | 0.0646175i | ||||
\(471\) | −20.3505 | − | 1.82150i | −0.937704 | − | 0.0839302i | ||||
\(472\) | −5.83952 | + | 8.68791i | −0.268786 | + | 0.399893i | ||||
\(473\) | 1.14871 | + | 0.834590i | 0.0528180 | + | 0.0383745i | ||||
\(474\) | −27.5857 | − | 5.07136i | −1.26705 | − | 0.232935i | ||||
\(475\) | −8.13391 | − | 13.4014i | −0.373209 | − | 0.614900i | ||||
\(476\) | 27.3566 | − | 12.9872i | 1.25389 | − | 0.595269i | ||||
\(477\) | 1.05389 | + | 7.72300i | 0.0482541 | + | 0.353612i | ||||
\(478\) | −23.3934 | + | 13.8888i | −1.06999 | + | 0.635257i | ||||
\(479\) | 2.55938 | + | 7.87696i | 0.116941 | + | 0.359908i | 0.992347 | − | 0.123481i | \(-0.0394058\pi\) |
−0.875406 | + | 0.483389i | \(0.839406\pi\) | |||||||
\(480\) | −13.4890 | − | 17.2641i | −0.615685 | − | 0.787993i | ||||
\(481\) | 12.2179 | − | 37.6027i | 0.557087 | − | 1.71454i | ||||
\(482\) | 5.24061 | + | 23.2587i | 0.238703 | + | 1.05940i | ||||
\(483\) | 29.4587 | + | 25.7118i | 1.34042 | + | 1.16993i | ||||
\(484\) | −5.98791 | + | 10.9806i | −0.272178 | + | 0.499116i | ||||
\(485\) | 0.305327 | − | 7.36995i | 0.0138642 | − | 0.334652i | ||||
\(486\) | 14.4991 | + | 16.6065i | 0.657695 | + | 0.753285i | ||||
\(487\) | 22.1343 | − | 16.0815i | 1.00300 | − | 0.728722i | 0.0402704 | − | 0.999189i | \(-0.487178\pi\) |
0.962729 | + | 0.270467i | \(0.0871781\pi\) | |||||||
\(488\) | −34.7899 | − | 9.91461i | −1.57486 | − | 0.448813i | ||||
\(489\) | 17.8679 | + | 29.8725i | 0.808015 | + | 1.35088i | ||||
\(490\) | 6.66562 | + | 6.36415i | 0.301122 | + | 0.287503i | ||||
\(491\) | −1.14907 | + | 0.834847i | −0.0518567 | + | 0.0376761i | −0.613412 | − | 0.789763i | \(-0.710203\pi\) |
0.561555 | + | 0.827439i | \(0.310203\pi\) | |||||||
\(492\) | −17.2384 | − | 4.85173i | −0.777167 | − | 0.218733i | ||||
\(493\) | − | 5.95888i | − | 0.268375i | ||||||
\(494\) | 19.8072 | + | 1.83824i | 0.891167 | + | 0.0827065i | ||||
\(495\) | 13.4129 | − | 5.80381i | 0.602865 | − | 0.260862i | ||||
\(496\) | 7.67962 | − | 19.7900i | 0.344825 | − | 0.888597i | ||||
\(497\) | 12.3409 | + | 37.9815i | 0.553567 | + | 1.70370i | ||||
\(498\) | 7.56170 | + | 7.94527i | 0.338848 | + | 0.356036i | ||||
\(499\) | − | 3.74440i | − | 0.167622i | −0.996482 | − | 0.0838111i | \(-0.973291\pi\) | ||
0.996482 | − | 0.0838111i | \(-0.0267092\pi\) | |||||||
\(500\) | −21.2996 | − | 6.80638i | −0.952547 | − | 0.304390i | ||||
\(501\) | −7.76815 | + | 18.1992i | −0.347055 | + | 0.813082i | ||||
\(502\) | −6.52978 | + | 15.1603i | −0.291439 | + | 0.676639i | ||||
\(503\) | 13.7647 | − | 4.47241i | 0.613736 | − | 0.199415i | 0.0143790 | − | 0.999897i | \(-0.495423\pi\) |
0.599357 | + | 0.800482i | \(0.295423\pi\) | |||||||
\(504\) | 26.3227 | − | 4.57693i | 1.17251 | − | 0.203873i | ||||
\(505\) | −1.54402 | − | 0.573366i | −0.0687078 | − | 0.0255144i | ||||
\(506\) | 2.04134 | − | 21.9956i | 0.0907488 | − | 0.977824i | ||||
\(507\) | −11.3527 | − | 4.84576i | −0.504189 | − | 0.215208i | ||||
\(508\) | 1.11246 | + | 8.57078i | 0.0493576 | + | 0.380267i | ||||
\(509\) | −14.0390 | − | 19.3230i | −0.622266 | − | 0.856475i | 0.375250 | − | 0.926924i | \(-0.377557\pi\) |
−0.997515 | + | 0.0704484i | \(0.977557\pi\) | |||||||
\(510\) | −10.3805 | − | 24.2070i | −0.459656 | − | 1.07190i | ||||
\(511\) | 21.5988 | − | 29.7282i | 0.955475 | − | 1.31510i | ||||
\(512\) | −11.2179 | + | 19.6509i | −0.495767 | + | 0.868456i | ||||
\(513\) | 8.95499 | − | 13.6098i | 0.395373 | − | 0.600890i | ||||
\(514\) | −11.3297 | + | 26.3043i | −0.499730 | + | 1.16023i | ||||
\(515\) | 14.9757 | + | 0.620424i | 0.659910 | + | 0.0273391i | ||||
\(516\) | 1.77224 | − | 1.39866i | 0.0780184 | − | 0.0615727i | ||||
\(517\) | 2.11857 | + | 0.688364i | 0.0931744 | + | 0.0302742i | ||||
\(518\) | −38.2843 | + | 8.62616i | −1.68212 | + | 0.379012i | ||||
\(519\) | 11.7728 | − | 13.4884i | 0.516767 | − | 0.592074i | ||||
\(520\) | 23.0357 | − | 16.5656i | 1.01018 | − | 0.726449i | ||||
\(521\) | 1.04897 | − | 0.340832i | 0.0459563 | − | 0.0149321i | −0.285949 | − | 0.958245i | \(-0.592309\pi\) |
0.331905 | + | 0.943313i | \(0.392309\pi\) | |||||||
\(522\) | 1.40776 | − | 5.06535i | 0.0616159 | − | 0.221704i | ||||
\(523\) | 31.1401 | + | 22.6246i | 1.36166 | + | 0.989304i | 0.998337 | + | 0.0576413i | \(0.0183580\pi\) |
0.363323 | + | 0.931663i | \(0.381642\pi\) | |||||||
\(524\) | −9.54974 | + | 4.53363i | −0.417182 | + | 0.198052i | ||||
\(525\) | 19.5688 | − | 18.9904i | 0.854053 | − | 0.828810i | ||||
\(526\) | 11.9058 | − | 2.68258i | 0.519116 | − | 0.116966i | ||||
\(527\) | 15.0003 | − | 20.6461i | 0.653423 | − | 0.899360i | ||||
\(528\) | −10.7983 | − | 10.5464i | −0.469936 | − | 0.458972i | ||||
\(529\) | −8.77735 | − | 27.0139i | −0.381624 | − | 1.17452i | ||||
\(530\) | 3.55975 | − | 7.40501i | 0.154626 | − | 0.321653i | ||||
\(531\) | −9.99874 | + | 4.82726i | −0.433909 | + | 0.209485i | ||||
\(532\) | −8.46771 | − | 17.8366i | −0.367122 | − | 0.773314i | ||||
\(533\) | 7.16683 | − | 22.0572i | 0.310430 | − | 0.955405i | ||||
\(534\) | 6.88671 | − | 3.29705i | 0.298017 | − | 0.142677i | ||||
\(535\) | 4.51517 | + | 1.67669i | 0.195208 | + | 0.0724898i | ||||
\(536\) | 1.11105 | + | 30.3981i | 0.0479899 | + | 1.31300i | ||||
\(537\) | 29.2846 | − | 6.69917i | 1.26372 | − | 0.289091i | ||||
\(538\) | −23.1931 | + | 26.3980i | −0.999925 | + | 1.13810i | ||||
\(539\) | 5.13665 | + | 3.73200i | 0.221251 | + | 0.160748i | ||||
\(540\) | −3.10515 | − | 23.0295i | −0.133624 | − | 0.991032i | ||||
\(541\) | −10.0337 | + | 7.28994i | −0.431384 | + | 0.313419i | −0.782202 | − | 0.623025i | \(-0.785904\pi\) |
0.350818 | + | 0.936444i | \(0.385904\pi\) | |||||||
\(542\) | −3.23954 | + | 34.9063i | −0.139150 | + | 1.49935i | ||||
\(543\) | −8.54750 | − | 3.64841i | −0.366808 | − | 0.156568i | ||||
\(544\) | −19.0704 | + | 19.3985i | −0.817636 | + | 0.831705i | ||||
\(545\) | −9.98897 | − | 35.7099i | −0.427880 | − | 1.52964i | ||||
\(546\) | 4.56609 | + | 34.2987i | 0.195411 | + | 1.46785i | ||||
\(547\) | −1.95152 | − | 6.00616i | −0.0834410 | − | 0.256805i | 0.900628 | − | 0.434590i | \(-0.143107\pi\) |
−0.984069 | + | 0.177785i | \(0.943107\pi\) | |||||||
\(548\) | 19.5942 | + | 3.66855i | 0.837023 | + | 0.156713i | ||||
\(549\) | −26.5429 | − | 27.7072i | −1.13283 | − | 1.18251i | ||||
\(550\) | −15.1690 | − | 2.68752i | −0.646810 | − | 0.114596i | ||||
\(551\) | −3.88521 | −0.165515 | ||||||||
\(552\) | −32.7864 | − | 12.5996i | −1.39548 | − | 0.536275i | ||||
\(553\) | −34.2897 | + | 11.1414i | −1.45815 | + | 0.473781i | ||||
\(554\) | −3.30211 | − | 5.56188i | −0.140293 | − | 0.236302i | ||||
\(555\) | 6.22784 | + | 33.5600i | 0.264357 | + | 1.42454i | ||||
\(556\) | −12.7296 | + | 1.65227i | −0.539857 | + | 0.0700720i | ||||
\(557\) | −43.8286 | −1.85708 | −0.928539 | − | 0.371236i | \(-0.878934\pi\) | ||||
−0.928539 | + | 0.371236i | \(0.878934\pi\) | |||||||
\(558\) | 17.6286 | − | 14.0065i | 0.746276 | − | 0.592942i | ||||
\(559\) | 1.71860 | + | 2.36544i | 0.0726889 | + | 0.100048i | ||||
\(560\) | −25.8111 | − | 11.2666i | −1.09072 | − | 0.476100i | ||||
\(561\) | −9.31472 | − | 15.5728i | −0.393268 | − | 0.657485i | ||||
\(562\) | 9.28199 | − | 10.5646i | 0.391537 | − | 0.445642i | ||||
\(563\) | 11.8810 | + | 16.3529i | 0.500726 | + | 0.689191i | 0.982321 | − | 0.187203i | \(-0.0599423\pi\) |
−0.481595 | + | 0.876394i | \(0.659942\pi\) | |||||||
\(564\) | 1.96622 | − | 2.94608i | 0.0827926 | − | 0.124052i | ||||
\(565\) | 9.47281 | + | 33.8646i | 0.398524 | + | 1.42470i | ||||
\(566\) | −3.25985 | − | 2.86407i | −0.137022 | − | 0.120386i | ||||
\(567\) | 26.5509 | + | 9.90518i | 1.11503 | + | 0.415979i | ||||
\(568\) | −22.1322 | − | 28.2331i | −0.928645 | − | 1.18463i | ||||
\(569\) | 6.83824 | + | 2.22188i | 0.286674 | + | 0.0931460i | 0.448824 | − | 0.893620i | \(-0.351843\pi\) |
−0.162150 | + | 0.986766i | \(0.551843\pi\) | |||||||
\(570\) | −15.7830 | + | 6.76811i | −0.661078 | + | 0.283485i | ||||
\(571\) | −8.99158 | + | 2.92154i | −0.376286 | + | 0.122263i | −0.491053 | − | 0.871130i | \(-0.663388\pi\) |
0.114767 | + | 0.993392i | \(0.463388\pi\) | |||||||
\(572\) | 14.2040 | − | 13.4300i | 0.593901 | − | 0.561535i | ||||
\(573\) | 19.3241 | + | 32.3070i | 0.807276 | + | 1.34965i | ||||
\(574\) | −22.4571 | + | 5.05999i | −0.937340 | + | 0.211200i | ||||
\(575\) | −34.8932 | + | 8.21971i | −1.45515 | + | 0.342785i | ||||
\(576\) | −20.7936 | + | 11.9844i | −0.866400 | + | 0.499351i | ||||
\(577\) | 13.2052 | − | 18.1754i | 0.549740 | − | 0.756653i | −0.440237 | − | 0.897882i | \(-0.645105\pi\) |
0.989977 | + | 0.141229i | \(0.0451054\pi\) | |||||||
\(578\) | −7.44761 | + | 4.42167i | −0.309780 | + | 0.183917i | ||||
\(579\) | 7.83591 | + | 0.701361i | 0.325649 | + | 0.0291476i | ||||
\(580\) | −4.18092 | + | 3.63738i | −0.173603 | + | 0.151034i | ||||
\(581\) | 13.4093 | + | 4.35696i | 0.556313 | + | 0.180757i | ||||
\(582\) | −7.94712 | − | 1.46100i | −0.329419 | − | 0.0605604i | ||||
\(583\) | 1.74919 | − | 5.38347i | 0.0724442 | − | 0.222960i | ||||
\(584\) | −9.04671 | + | 31.7445i | −0.374356 | + | 1.31360i | ||||
\(585\) | 29.9613 | − | 2.83128i | 1.23875 | − | 0.117059i | ||||
\(586\) | −1.29642 | + | 3.00994i | −0.0535548 | + | 0.124339i | ||||
\(587\) | 23.2299 | + | 31.9733i | 0.958802 | + | 1.31968i | 0.947505 | + | 0.319741i | \(0.103596\pi\) |
0.0112970 | + | 0.999936i | \(0.496404\pi\) | |||||||
\(588\) | 7.92483 | − | 6.25434i | 0.326814 | − | 0.257925i | ||||
\(589\) | −13.4613 | − | 9.78023i | −0.554664 | − | 0.402987i | ||||
\(590\) | 11.5988 | + | 1.56298i | 0.477515 | + | 0.0643468i | ||||
\(591\) | −35.7840 | + | 8.18598i | −1.47196 | + | 0.336726i | ||||
\(592\) | 29.6350 | − | 19.0918i | 1.21799 | − | 0.784669i | ||||
\(593\) | −13.3435 | −0.547953 | −0.273977 | − | 0.961736i | \(-0.588339\pi\) | ||||
−0.273977 | + | 0.961736i | \(0.588339\pi\) | |||||||
\(594\) | −4.23897 | − | 15.4382i | −0.173927 | − | 0.633439i | ||||
\(595\) | −26.5439 | − | 21.0176i | −1.08819 | − | 0.861637i | ||||
\(596\) | 11.2901 | − | 10.6748i | 0.462459 | − | 0.437257i | ||||
\(597\) | 22.7825 | + | 2.03917i | 0.932425 | + | 0.0834577i | ||||
\(598\) | 17.9943 | − | 41.7778i | 0.735842 | − | 1.70842i | ||||
\(599\) | −10.8222 | −0.442182 | −0.221091 | − | 0.975253i | \(-0.570962\pi\) | ||||
−0.221091 | + | 0.975253i | \(0.570962\pi\) | |||||||
\(600\) | −10.6479 | + | 22.0595i | −0.434699 | + | 0.900576i | ||||
\(601\) | 7.06828 | 0.288321 | 0.144160 | − | 0.989554i | \(-0.453952\pi\) | ||||
0.144160 | + | 0.989554i | \(0.453952\pi\) | |||||||
\(602\) | 1.14803 | − | 2.66541i | 0.0467902 | − | 0.108634i | ||||
\(603\) | −15.2607 | + | 28.4261i | −0.621465 | + | 1.15760i | ||||
\(604\) | 8.12222 | − | 7.67959i | 0.330488 | − | 0.312478i | ||||
\(605\) | 13.9714 | + | 0.578815i | 0.568018 | + | 0.0235322i | ||||
\(606\) | −0.858610 | + | 1.58684i | −0.0348786 | + | 0.0644611i | ||||
\(607\) | −20.7689 | −0.842983 | −0.421492 | − | 0.906832i | \(-0.638493\pi\) | ||||
−0.421492 | + | 0.906832i | \(0.638493\pi\) | |||||||
\(608\) | 12.6479 | + | 12.4339i | 0.512939 | + | 0.504263i | ||||
\(609\) | −1.50705 | − | 6.58787i | −0.0610686 | − | 0.266954i | ||||
\(610\) | 7.24930 | + | 39.7900i | 0.293515 | + | 1.61105i | ||||
\(611\) | 3.71102 | + | 2.69622i | 0.150132 | + | 0.109077i | ||||
\(612\) | −27.8478 | + | 7.54840i | −1.12568 | + | 0.305126i | ||||
\(613\) | 20.8906 | + | 28.7535i | 0.843764 | + | 1.16134i | 0.985202 | + | 0.171395i | \(0.0548274\pi\) |
−0.141438 | + | 0.989947i | \(0.545173\pi\) | |||||||
\(614\) | 16.1564 | − | 37.5106i | 0.652018 | − | 1.51381i | ||||
\(615\) | 3.65316 | + | 19.6858i | 0.147310 | + | 0.793809i | ||||
\(616\) | −18.6597 | − | 5.31774i | −0.751821 | − | 0.214258i | ||||
\(617\) | 14.8717 | − | 45.7703i | 0.598711 | − | 1.84264i | 0.0633979 | − | 0.997988i | \(-0.479806\pi\) |
0.535313 | − | 0.844654i | \(-0.320194\pi\) | |||||||
\(618\) | 2.96875 | − | 16.1485i | 0.119421 | − | 0.649590i | ||||
\(619\) | −21.0541 | − | 6.84090i | −0.846236 | − | 0.274959i | −0.146368 | − | 0.989230i | \(-0.546758\pi\) |
−0.699869 | + | 0.714271i | \(0.746758\pi\) | |||||||
\(620\) | −23.6423 | + | 2.07806i | −0.949497 | + | 0.0834569i | ||||
\(621\) | −23.2708 | − | 29.0926i | −0.933827 | − | 1.16745i | ||||
\(622\) | −28.1491 | + | 16.7122i | −1.12868 | + | 0.670100i | ||||
\(623\) | 5.76898 | − | 7.94032i | 0.231129 | − | 0.318122i | ||||
\(624\) | −14.4367 | − | 27.5256i | −0.577931 | − | 1.10190i | ||||
\(625\) | 3.69985 | + | 24.7247i | 0.147994 | + | 0.988988i | ||||
\(626\) | 8.53739 | − | 1.92363i | 0.341223 | − | 0.0768837i | ||||
\(627\) | −10.1535 | + | 6.07322i | −0.405493 | + | 0.242541i | ||||
\(628\) | 17.1432 | − | 16.2089i | 0.684086 | − | 0.646806i | ||||
\(629\) | 40.3060 | − | 13.0962i | 1.60711 | − | 0.522181i | ||||
\(630\) | −17.5983 | − | 24.1369i | −0.701135 | − | 0.961635i | ||||
\(631\) | −2.11030 | − | 0.685677i | −0.0840095 | − | 0.0272964i | 0.266711 | − | 0.963777i | \(-0.414063\pi\) |
−0.350720 | + | 0.936480i | \(0.614063\pi\) | |||||||
\(632\) | 25.4889 | − | 19.9810i | 1.01389 | − | 0.794800i | ||||
\(633\) | −9.12954 | − | 7.96833i | −0.362867 | − | 0.316713i | ||||
\(634\) | −32.9477 | − | 28.9476i | −1.30852 | − | 1.14966i | ||||
\(635\) | 8.04577 | − | 5.35120i | 0.319287 | − | 0.212356i | ||||
\(636\) | −7.48625 | − | 4.99633i | −0.296849 | − | 0.198118i | ||||
\(637\) | 7.68496 | + | 10.5774i | 0.304489 | + | 0.419094i | ||||
\(638\) | −2.51996 | + | 2.86818i | −0.0997660 | + | 0.113552i | ||||
\(639\) | −5.14465 | − | 37.7007i | −0.203519 | − | 1.49141i | ||||
\(640\) | 25.2514 | + | 1.53919i | 0.998147 | + | 0.0608418i | ||||
\(641\) | 0.775928 | + | 1.06797i | 0.0306473 | + | 0.0421824i | 0.824066 | − | 0.566494i | \(-0.191701\pi\) |
−0.793418 | + | 0.608677i | \(0.791701\pi\) | |||||||
\(642\) | 2.51083 | − | 4.64041i | 0.0990947 | − | 0.183142i | ||||
\(643\) | 16.1293 | 0.636078 | 0.318039 | − | 0.948078i | \(-0.396976\pi\) | ||||
0.318039 | + | 0.948078i | \(0.396976\pi\) | |||||||
\(644\) | −44.7747 | + | 5.81163i | −1.76437 | + | 0.229010i | ||||
\(645\) | −2.27851 | − | 1.08616i | −0.0897163 | − | 0.0427675i | ||||
\(646\) | 10.8853 | + | 18.3345i | 0.428275 | + | 0.721362i | ||||
\(647\) | 31.3201 | − | 10.1765i | 1.23132 | − | 0.400081i | 0.380129 | − | 0.924934i | \(-0.375880\pi\) |
0.851193 | + | 0.524853i | \(0.175880\pi\) | |||||||
\(648\) | −25.4553 | − | 0.162402i | −0.999980 | − | 0.00637977i | ||||
\(649\) | 8.06315 | 0.316506 | ||||||||
\(650\) | −27.9973 | − | 14.9158i | −1.09814 | − | 0.585047i | ||||
\(651\) | 11.3621 | − | 26.6191i | 0.445315 | − | 1.04329i | ||||
\(652\) | −39.5068 | − | 7.39673i | −1.54721 | − | 0.289678i | ||||
\(653\) | 12.3997 | + | 38.1622i | 0.485236 | + | 1.49340i | 0.831638 | + | 0.555317i | \(0.187403\pi\) |
−0.346402 | + | 0.938086i | \(0.612597\pi\) | |||||||
\(654\) | −40.2646 | + | 5.36032i | −1.57447 | + | 0.209605i | ||||
\(655\) | 9.26603 | + | 7.33688i | 0.362054 | + | 0.286676i | ||||
\(656\) | 17.3835 | − | 11.1990i | 0.678710 | − | 0.437247i | ||||
\(657\) | −25.2818 | + | 24.2195i | −0.986336 | + | 0.944891i | ||||
\(658\) | 0.420742 | − | 4.53352i | 0.0164022 | − | 0.176735i | ||||
\(659\) | −5.18431 | + | 3.76662i | −0.201952 | + | 0.146727i | −0.684165 | − | 0.729327i | \(-0.739833\pi\) |
0.482213 | + | 0.876054i | \(0.339833\pi\) | |||||||
\(660\) | −5.24049 | + | 16.0413i | −0.203986 | + | 0.624408i | ||||
\(661\) | −27.1923 | − | 19.7564i | −1.05766 | − | 0.768434i | −0.0840046 | − | 0.996465i | \(-0.526771\pi\) |
−0.973654 | + | 0.228032i | \(0.926771\pi\) | |||||||
\(662\) | 12.1453 | − | 13.8236i | 0.472039 | − | 0.537268i | ||||
\(663\) | −8.33272 | − | 36.4255i | −0.323616 | − | 1.41465i | ||||
\(664\) | −12.6568 | + | 0.462606i | −0.491180 | + | 0.0179526i | ||||
\(665\) | −13.7035 | + | 17.3067i | −0.531399 | + | 0.671124i | ||||
\(666\) | 37.3561 | − | 1.61033i | 1.44752 | − | 0.0623992i | ||||
\(667\) | −2.74543 | + | 8.44956i | −0.106303 | + | 0.327168i | ||||
\(668\) | −9.79909 | − | 20.6410i | −0.379138 | − | 0.798626i | ||||
\(669\) | −5.14421 | + | 5.89386i | −0.198886 | + | 0.227870i | ||||
\(670\) | 29.9368 | − | 16.1364i | 1.15656 | − | 0.623405i | ||||
\(671\) | 8.61055 | + | 26.5006i | 0.332407 | + | 1.02304i | ||||
\(672\) | −16.1773 | + | 26.2692i | −0.624054 | + | 1.01336i | ||||
\(673\) | 22.2887 | − | 30.6778i | 0.859167 | − | 1.18254i | −0.122600 | − | 0.992456i | \(-0.539123\pi\) |
0.981767 | − | 0.190086i | \(-0.0608766\pi\) | |||||||
\(674\) | 31.6212 | − | 7.12483i | 1.21800 | − | 0.274438i | ||||
\(675\) | −21.5615 | + | 14.4949i | −0.829903 | + | 0.557908i | ||||
\(676\) | 12.8758 | − | 6.11266i | 0.495225 | − | 0.235102i | ||||
\(677\) | 29.2698 | + | 21.2657i | 1.12493 | + | 0.817309i | 0.984949 | − | 0.172845i | \(-0.0552961\pi\) |
0.139980 | + | 0.990154i | \(0.455296\pi\) | |||||||
\(678\) | 38.1840 | − | 5.08334i | 1.46645 | − | 0.195224i | ||||
\(679\) | −9.87848 | + | 3.20971i | −0.379101 | + | 0.123177i | ||||
\(680\) | 28.8788 | + | 9.53906i | 1.10745 | + | 0.365806i | ||||
\(681\) | −20.6482 | − | 18.0219i | −0.791240 | − | 0.690600i | ||||
\(682\) | −15.9511 | + | 3.59408i | −0.610800 | + | 0.137624i | ||||
\(683\) | −6.27951 | − | 2.04034i | −0.240279 | − | 0.0780713i | 0.186402 | − | 0.982474i | \(-0.440317\pi\) |
−0.426681 | + | 0.904402i | \(0.640317\pi\) | |||||||
\(684\) | 4.92157 | + | 18.1569i | 0.188181 | + | 0.694245i | ||||
\(685\) | −6.00396 | − | 21.4637i | −0.229399 | − | 0.820087i | ||||
\(686\) | −7.19692 | + | 16.7092i | −0.274780 | + | 0.637962i | ||||
\(687\) | −29.5135 | + | 6.75154i | −1.12601 | + | 0.257587i | ||||
\(688\) | −0.145933 | + | 2.60285i | −0.00556366 | + | 0.0992326i | ||||
\(689\) | 6.85133 | − | 9.43005i | 0.261015 | − | 0.359256i | ||||
\(690\) | 3.56645 | + | 39.1076i | 0.135772 | + | 1.48880i | ||||
\(691\) | 6.82283 | + | 9.39083i | 0.259553 | + | 0.357244i | 0.918828 | − | 0.394658i | \(-0.129137\pi\) |
−0.659275 | + | 0.751902i | \(0.729137\pi\) | |||||||
\(692\) | 2.66099 | + | 20.5012i | 0.101156 | + | 0.779338i | ||||
\(693\) | −14.2364 | − | 14.8608i | −0.540797 | − | 0.564517i | ||||
\(694\) | −3.80058 | + | 40.9514i | −0.144268 | + | 1.55449i | ||||
\(695\) | 7.94781 | + | 11.9499i | 0.301478 | + | 0.453285i | ||||
\(696\) | 3.30440 | + | 5.09251i | 0.125253 | + | 0.193031i | ||||
\(697\) | 23.6430 | − | 7.68207i | 0.895541 | − | 0.290979i | ||||
\(698\) | 3.31523 | − | 7.69703i | 0.125483 | − | 0.291337i | ||||
\(699\) | −3.47327 | − | 1.48253i | −0.131371 | − | 0.0560743i | ||||
\(700\) | 1.45625 | + | 31.4533i | 0.0550411 | + | 1.18882i | ||||
\(701\) | 7.71123i | 0.291249i | 0.989340 | + | 0.145625i | \(0.0465192\pi\) | ||||
−0.989340 | + | 0.145625i | \(0.953481\pi\) | |||||||
\(702\) | 1.52212 | − | 32.9320i | 0.0574487 | − | 1.24294i | ||||
\(703\) | −8.53877 | − | 26.2796i | −0.322046 | − | 0.991155i | ||||
\(704\) | 17.3826 | − | 1.27236i | 0.655130 | − | 0.0479540i | ||||
\(705\) | −3.92625 | − | 0.515996i | −0.147871 | − | 0.0194335i | ||||
\(706\) | 11.3274 | + | 1.05126i | 0.426311 | + | 0.0395646i | ||||
\(707\) | 2.31926i | 0.0872249i | ||||||||
\(708\) | 3.47342 | − | 12.3412i | 0.130539 | − | 0.463811i | ||||
\(709\) | −7.86571 | + | 5.71477i | −0.295403 | + | 0.214623i | −0.725608 | − | 0.688108i | \(-0.758441\pi\) |
0.430205 | + | 0.902731i | \(0.358441\pi\) | |||||||
\(710\) | −17.3773 | + | 36.1484i | −0.652158 | + | 1.35662i | ||||
\(711\) | 34.0362 | − | 4.64460i | 1.27646 | − | 0.174186i | ||||
\(712\) | −2.41635 | + | 8.47886i | −0.0905565 | + | 0.317759i | ||||
\(713\) | −30.7824 | + | 22.3647i | −1.15281 | + | 0.837564i | ||||
\(714\) | −26.8662 | + | 25.5692i | −1.00544 | + | 0.956904i | ||||
\(715\) | −20.4881 | − | 7.60821i | −0.766213 | − | 0.284531i | ||||
\(716\) | −16.6075 | + | 30.4546i | −0.620651 | + | 1.13814i | ||||
\(717\) | 21.9102 | − | 25.1031i | 0.818251 | − | 0.937494i | ||||
\(718\) | 0.578010 | + | 2.56530i | 0.0215711 | + | 0.0957362i | ||||
\(719\) | −5.91073 | + | 18.1913i | −0.220433 | + | 0.678423i | 0.778290 | + | 0.627905i | \(0.216087\pi\) |
−0.998723 | + | 0.0505180i | \(0.983913\pi\) | |||||||
\(720\) | 22.2949 | + | 14.9312i | 0.830880 | + | 0.556451i | ||||
\(721\) | −6.52213 | − | 20.0731i | −0.242897 | − | 0.747560i | ||||
\(722\) | −11.1507 | + | 6.62019i | −0.414985 | + | 0.246378i | ||||
\(723\) | −14.9890 | − | 25.0594i | −0.557448 | − | 0.931970i | ||||
\(724\) | 9.69433 | − | 4.60227i | 0.360287 | − | 0.171042i | ||||
\(725\) | 5.71402 | + | 2.39546i | 0.212213 | + | 0.0889652i | ||||
\(726\) | 2.76965 | − | 15.0655i | 0.102791 | − | 0.559135i | ||||
\(727\) | 10.2976 | + | 7.48165i | 0.381917 | + | 0.277479i | 0.762135 | − | 0.647418i | \(-0.224151\pi\) |
−0.380218 | + | 0.924897i | \(0.624151\pi\) | |||||||
\(728\) | −33.1598 | − | 22.2881i | −1.22898 | − | 0.826053i | ||||
\(729\) | −23.2189 | − | 13.7799i | −0.859958 | − | 0.510365i | ||||
\(730\) | 36.3069 | − | 6.61472i | 1.34378 | − | 0.244822i | ||||
\(731\) | −0.968475 | + | 2.98066i | −0.0358203 | + | 0.110244i | ||||
\(732\) | 44.2701 | − | 1.76321i | 1.63627 | − | 0.0651700i | ||||
\(733\) | −17.8317 | − | 5.79386i | −0.658628 | − | 0.214001i | −0.0394131 | − | 0.999223i | \(-0.512549\pi\) |
−0.619214 | + | 0.785222i | \(0.712549\pi\) | |||||||
\(734\) | −0.419260 | − | 0.368358i | −0.0154752 | − | 0.0135963i | ||||
\(735\) | −10.1887 | − | 4.85693i | −0.375816 | − | 0.179151i | ||||
\(736\) | 35.9788 | − | 18.7204i | 1.32620 | − | 0.690043i | ||||
\(737\) | 18.9554 | − | 13.7719i | 0.698231 | − | 0.507294i | ||||
\(738\) | 21.9126 | − | 0.944600i | 0.806612 | − | 0.0347712i | ||||
\(739\) | 4.09366 | − | 5.63444i | 0.150588 | − | 0.207266i | −0.727058 | − | 0.686576i | \(-0.759113\pi\) |
0.877646 | + | 0.479310i | \(0.159113\pi\) | |||||||
\(740\) | −33.7920 | − | 20.2857i | −1.24222 | − | 0.745717i | ||||
\(741\) | −23.7495 | + | 5.43295i | −0.872459 | + | 0.199584i | ||||
\(742\) | −11.5201 | − | 1.06914i | −0.422916 | − | 0.0392495i | ||||
\(743\) | − | 38.3548i | − | 1.40710i | −0.710645 | − | 0.703551i | \(-0.751597\pi\) | ||
0.710645 | − | 0.703551i | \(-0.248403\pi\) | |||||||
\(744\) | −1.37039 | + | 25.9625i | −0.0502410 | + | 0.951832i | ||||
\(745\) | −16.2850 | − | 6.04737i | −0.596635 | − | 0.221559i | ||||
\(746\) | 13.8032 | + | 23.2493i | 0.505370 | + | 0.851216i | ||||
\(747\) | −11.8358 | − | 6.35410i | −0.433048 | − | 0.232484i | ||||
\(748\) | 20.5953 | + | 3.85599i | 0.753040 | + | 0.140989i | ||||
\(749\) | − | 6.78223i | − | 0.247817i | ||||||
\(750\) | 27.3852 | − | 0.222769i | 0.999967 | − | 0.00813438i | ||||
\(751\) | 16.5627i | 0.604381i | 0.953248 | + | 0.302191i | \(0.0977179\pi\) | ||||
−0.953248 | + | 0.302191i | \(0.902282\pi\) | |||||||
\(752\) | 1.04412 | + | 3.95436i | 0.0380752 | + | 0.144201i | ||||
\(753\) | 1.80230 | − | 20.1361i | 0.0656796 | − | 0.733801i | ||||
\(754\) | −6.76026 | + | 4.01359i | −0.246194 | + | 0.146166i | ||||
\(755\) | −11.7156 | − | 4.35056i | −0.426375 | − | 0.158333i | ||||
\(756\) | −28.8783 | + | 15.3881i | −1.05029 | + | 0.559660i | ||||
\(757\) | 19.9055i | 0.723479i | 0.932279 | + | 0.361739i | \(0.117817\pi\) | ||||
−0.932279 | + | 0.361739i | \(0.882183\pi\) | |||||||
\(758\) | 0.452027 | − | 4.87061i | 0.0164183 | − | 0.176909i | ||||
\(759\) | 6.03322 | + | 26.3735i | 0.218992 | + | 0.957297i | ||||
\(760\) | 6.21949 | − | 18.8290i | 0.225605 | − | 0.683001i | ||||
\(761\) | −29.7135 | + | 40.8972i | −1.07712 | + | 1.48252i | −0.214458 | + | 0.976733i | \(0.568798\pi\) |
−0.862657 | + | 0.505789i | \(0.831202\pi\) | |||||||
\(762\) | −4.57083 | − | 9.54731i | −0.165584 | − | 0.345863i | ||||
\(763\) | −42.2427 | + | 30.6911i | −1.52929 | + | 1.11109i | ||||
\(764\) | −42.7266 | − | 7.99955i | −1.54579 | − | 0.289413i | ||||
\(765\) | 21.3321 | + | 24.1980i | 0.771264 | + | 0.874880i | ||||
\(766\) | −18.0005 | + | 20.4879i | −0.650384 | + | 0.740258i | ||||
\(767\) | 15.7911 | + | 5.13083i | 0.570183 | + | 0.185264i | ||||
\(768\) | 5.54057 | − | 27.1533i | 0.199928 | − | 0.979811i | ||||
\(769\) | 8.29531 | − | 25.5303i | 0.299136 | − | 0.920647i | −0.682664 | − | 0.730732i | \(-0.739179\pi\) |
0.981801 | − | 0.189915i | \(-0.0608213\pi\) | |||||||
\(770\) | 3.88819 | + | 21.3415i | 0.140121 | + | 0.769095i | ||||
\(771\) | 3.12713 | − | 34.9376i | 0.112621 | − | 1.25825i | ||||
\(772\) | −6.60091 | + | 6.24119i | −0.237572 | + | 0.224625i | ||||
\(773\) | 20.6276 | + | 14.9869i | 0.741925 | + | 0.539040i | 0.893313 | − | 0.449434i | \(-0.148374\pi\) |
−0.151388 | + | 0.988474i | \(0.548374\pi\) | |||||||
\(774\) | −1.52742 | + | 2.30491i | −0.0549019 | + | 0.0828483i | ||||
\(775\) | 13.7676 | + | 22.6836i | 0.494549 | + | 0.814819i | ||||
\(776\) | 7.34304 | − | 5.75628i | 0.263600 | − | 0.206638i | ||||
\(777\) | 41.2484 | − | 24.6723i | 1.47978 | − | 0.885114i | ||||
\(778\) | 11.5937 | + | 19.5278i | 0.415655 | + | 0.700106i | ||||
\(779\) | −5.00872 | − | 15.4153i | −0.179456 | − | 0.552309i | ||||
\(780\) | −20.4707 | + | 28.0810i | −0.732968 | + | 1.00546i | ||||
\(781\) | −8.53888 | + | 26.2800i | −0.305545 | + | 0.940371i | ||||
\(782\) | 47.5659 | − | 10.7175i | 1.70095 | − | 0.383256i | ||||
\(783\) | 0.298366 | + | 6.43197i | 0.0106627 | + | 0.229860i | ||||
\(784\) | −0.652563 | + | 11.6390i | −0.0233058 | + | 0.415680i | ||||
\(785\) | −24.7276 | − | 9.18251i | −0.882565 | − | 0.327738i | ||||
\(786\) | 9.37855 | − | 8.92579i | 0.334522 | − | 0.318372i | ||||
\(787\) | −15.8981 | + | 11.5506i | −0.566705 | + | 0.411735i | −0.833907 | − | 0.551905i | \(-0.813901\pi\) |
0.267202 | + | 0.963641i | \(0.413901\pi\) | |||||||
\(788\) | 20.2933 | − | 37.2136i | 0.722920 | − | 1.32568i | ||||
\(789\) | −12.8275 | + | 7.67265i | −0.456672 | + | 0.273154i | ||||
\(790\) | −32.6348 | − | 15.6882i | −1.16109 | − | 0.558163i | ||||
\(791\) | 40.0599 | − | 29.1052i | 1.42437 | − | 1.03486i | ||||
\(792\) | 16.5961 | + | 8.14333i | 0.589717 | + | 0.289361i | ||||
\(793\) | 57.3785i | 2.03757i | ||||||||
\(794\) | −0.0984255 | + | 1.06054i | −0.00349299 | + | 0.0376372i | ||||
\(795\) | −1.31119 | + | 9.97697i | −0.0465032 | + | 0.353847i | ||||
\(796\) | −19.1918 | + | 18.1459i | −0.680235 | + | 0.643165i | ||||
\(797\) | −1.02356 | − | 3.15018i | −0.0362563 | − | 0.111585i | 0.931290 | − | 0.364277i | \(-0.118684\pi\) |
−0.967547 | + | 0.252692i | \(0.918684\pi\) | |||||||
\(798\) | 16.6712 | + | 17.5169i | 0.590154 | + | 0.620090i | ||||
\(799\) | 4.91685i | 0.173946i | ||||||||
\(800\) | −10.9351 | − | 26.0849i | −0.386615 | − | 0.922241i | ||||
\(801\) | −6.75268 | + | 6.46895i | −0.238594 | + | 0.228569i | ||||
\(802\) | 10.6708 | + | 4.59607i | 0.376799 | + | 0.162293i | ||||
\(803\) | 24.1808 | − | 7.85681i | 0.853321 | − | 0.277261i | ||||
\(804\) | −12.9133 | − | 34.9451i | −0.455416 | − | 1.23242i | ||||
\(805\) | 27.9553 | + | 42.0320i | 0.985293 | + | 1.48143i | ||||
\(806\) | −33.5261 | − | 3.11145i | −1.18091 | − | 0.109596i | ||||
\(807\) | 16.8951 | − | 39.5818i | 0.594735 | − | 1.39335i | ||||
\(808\) | −0.715734 | − | 1.95655i | −0.0251794 | − | 0.0688313i | ||||
\(809\) | 8.97385 | + | 12.3514i | 0.315504 | + | 0.434254i | 0.937088 | − | 0.349094i | \(-0.113511\pi\) |
−0.621584 | + | 0.783348i | \(0.713511\pi\) | |||||||
\(810\) | 12.4167 | + | 25.6091i | 0.436278 | + | 0.899812i | ||||
\(811\) | −15.7802 | + | 21.7196i | −0.554119 | + | 0.762679i | −0.990564 | − | 0.137052i | \(-0.956237\pi\) |
0.436445 | + | 0.899731i | \(0.356237\pi\) | |||||||
\(812\) | 6.85107 | + | 3.73602i | 0.240425 | + | 0.131109i | ||||
\(813\) | −9.57451 | − | 41.8538i | −0.335793 | − | 1.46788i | ||||
\(814\) | −24.9387 | − | 10.7415i | −0.874101 | − | 0.376488i | ||||
\(815\) | 12.1055 | + | 43.2763i | 0.424037 | + | 1.51590i | ||||
\(816\) | 14.7738 | − | 29.8615i | 0.517188 | − | 1.04536i | ||||
\(817\) | 1.94340 | + | 0.631448i | 0.0679908 | + | 0.0220916i | ||||
\(818\) | −10.1511 | − | 45.0521i | −0.354923 | − | 1.57521i | ||||
\(819\) | −18.4245 | − | 38.1629i | −0.643806 | − | 1.33352i | ||||
\(820\) | −19.8219 | − | 11.8993i | −0.692212 | − | 0.415542i | ||||
\(821\) | −52.2383 | + | 16.9732i | −1.82313 | + | 0.592370i | −0.823439 | + | 0.567404i | \(0.807948\pi\) |
−0.999688 | + | 0.0249655i | \(0.992052\pi\) | |||||||
\(822\) | −24.2014 | + | 3.22187i | −0.844120 | + | 0.112375i | ||||
\(823\) | −2.76638 | − | 2.00989i | −0.0964299 | − | 0.0700604i | 0.538526 | − | 0.842609i | \(-0.318982\pi\) |
−0.634955 | + | 0.772549i | \(0.718982\pi\) | |||||||
\(824\) | 11.6968 | + | 14.9211i | 0.407476 | + | 0.519800i | ||||
\(825\) | 18.6774 | − | 2.67171i | 0.650264 | − | 0.0930171i | ||||
\(826\) | −3.62251 | − | 16.0773i | −0.126043 | − | 0.559401i | ||||
\(827\) | −19.3792 | + | 26.6732i | −0.673881 | + | 0.927517i | −0.999840 | − | 0.0178664i | \(-0.994313\pi\) |
0.325960 | + | 0.945384i | \(0.394313\pi\) | |||||||
\(828\) | 42.9654 | + | 2.12684i | 1.49315 | + | 0.0739127i | ||||
\(829\) | 7.01433 | + | 21.5879i | 0.243618 | + | 0.749778i | 0.995861 | + | 0.0908925i | \(0.0289720\pi\) |
−0.752243 | + | 0.658886i | \(0.771028\pi\) | |||||||
\(830\) | 6.71871 | + | 12.4648i | 0.233210 | + | 0.432658i | ||||
\(831\) | 5.96837 | + | 5.20924i | 0.207041 | + | 0.180706i | ||||
\(832\) | 34.8521 | + | 8.56924i | 1.20828 | + | 0.297085i | ||||
\(833\) | −4.33068 | + | 13.3285i | −0.150049 | + | 0.461804i | ||||
\(834\) | 14.1800 | − | 6.78878i | 0.491015 | − | 0.235076i | ||||
\(835\) | −15.8581 | + | 20.0278i | −0.548793 | + | 0.693091i | ||||
\(836\) | 2.51411 | − | 13.4282i | 0.0869525 | − | 0.464424i | ||||
\(837\) | −15.1574 | + | 23.0364i | −0.523918 | + | 0.796253i | ||||
\(838\) | 0.792143 | + | 0.695970i | 0.0273641 | + | 0.0240419i | ||||
\(839\) | −9.61057 | − | 6.98249i | −0.331794 | − | 0.241062i | 0.409398 | − | 0.912356i | \(-0.365739\pi\) |
−0.741191 | + | 0.671294i | \(0.765739\pi\) | |||||||
\(840\) | 34.3396 | + | 3.24229i | 1.18483 | + | 0.111870i | ||||
\(841\) | −22.2192 | + | 16.1432i | −0.766180 | + | 0.556662i | ||||
\(842\) | 19.9047 | + | 1.84729i | 0.685961 | + | 0.0636620i | ||||
\(843\) | −6.76149 | + | 15.8408i | −0.232878 | + | 0.545587i | ||||
\(844\) | 13.8761 | − | 1.80108i | 0.477636 | − | 0.0619957i | ||||
\(845\) | −12.4933 | − | 9.89227i | −0.429783 | − | 0.340304i | ||||
\(846\) | −1.16158 | + | 4.17957i | −0.0399360 | + | 0.143697i | ||||
\(847\) | −6.08472 | − | 18.7268i | −0.209074 | − | 0.643462i | ||||
\(848\) | 10.0484 | − | 2.65321i | 0.345063 | − | 0.0911114i | ||||
\(849\) | 4.88789 | + | 2.08634i | 0.167752 | + | 0.0716031i | ||||
\(850\) | −4.70477 | − | 33.6762i | −0.161372 | − | 1.15509i | ||||
\(851\) | −63.1869 | −2.16602 | ||||||||
\(852\) | 36.5449 | + | 24.3901i | 1.25201 | + | 0.835592i | ||||
\(853\) | −13.3093 | + | 4.32445i | −0.455701 | + | 0.148066i | −0.527868 | − | 0.849326i | \(-0.677009\pi\) |
0.0721669 | + | 0.997393i | \(0.477009\pi\) | |||||||
\(854\) | 48.9717 | − | 29.0746i | 1.67578 | − | 0.994914i | ||||
\(855\) | 15.7771 | − | 13.9086i | 0.539567 | − | 0.475663i | ||||
\(856\) | 2.09302 | + | 5.72155i | 0.0715381 | + | 0.195559i | ||||
\(857\) | −7.48884 | −0.255814 | −0.127907 | − | 0.991786i | \(-0.540826\pi\) | ||||
−0.127907 | + | 0.991786i | \(0.540826\pi\) | |||||||
\(858\) | −11.3932 | + | 21.0564i | −0.388958 | + | 0.718854i | ||||
\(859\) | −12.6391 | − | 17.3963i | −0.431242 | − | 0.593553i | 0.536996 | − | 0.843585i | \(-0.319559\pi\) |
−0.968238 | + | 0.250032i | \(0.919559\pi\) | |||||||
\(860\) | 2.68248 | − | 1.13993i | 0.0914719 | − | 0.0388711i | ||||
\(861\) | 24.1957 | − | 14.4724i | 0.824588 | − | 0.493219i | ||||
\(862\) | 8.93507 | + | 7.85027i | 0.304330 | + | 0.267381i | ||||
\(863\) | −29.7893 | − | 41.0014i | −1.01404 | − | 1.39570i | −0.916300 | − | 0.400492i | \(-0.868839\pi\) |
−0.0977378 | − | 0.995212i | \(-0.531161\pi\) | |||||||
\(864\) | 19.6131 | − | 21.8935i | 0.667252 | − | 0.744832i | ||||
\(865\) | 19.2454 | − | 12.8000i | 0.654362 | − | 0.435213i | ||||
\(866\) | −36.9122 | + | 42.0130i | −1.25433 | + | 1.42766i | ||||
\(867\) | 6.97541 | − | 7.99192i | 0.236897 | − | 0.271420i | ||||
\(868\) | 14.3327 | + | 30.1906i | 0.486482 | + | 1.02474i | ||||
\(869\) | −23.7256 | − | 7.70891i | −0.804835 | − | 0.261507i | ||||
\(870\) | 3.47424 | − | 5.83057i | 0.117788 | − | 0.197675i | ||||
\(871\) | 45.8862 | − | 14.9093i | 1.55479 | − | 0.505183i | ||||
\(872\) | 26.1649 | − | 38.9276i | 0.886056 | − | 1.31825i | ||||
\(873\) | 9.80543 | − | 1.33806i | 0.331864 | − | 0.0452863i | ||||
\(874\) | −6.98782 | − | 31.0131i | −0.236367 | − | 1.04903i | ||||
\(875\) | 30.8245 | − | 17.0041i | 1.04206 | − | 0.574844i | ||||
\(876\) | −1.60886 | − | 40.3949i | −0.0543584 | − | 1.36482i | ||||
\(877\) | −17.4476 | + | 24.0145i | −0.589163 | + | 0.810913i | −0.994662 | − | 0.103182i | \(-0.967097\pi\) |
0.405500 | + | 0.914095i | \(0.367097\pi\) | |||||||
\(878\) | 15.5671 | + | 26.2204i | 0.525365 | + | 0.884894i | ||||
\(879\) | 0.357830 | − | 3.99783i | 0.0120693 | − | 0.134843i | ||||
\(880\) | −9.86619 | − | 16.8040i | −0.332589 | − | 0.566462i | ||||
\(881\) | 21.4138 | + | 6.95778i | 0.721451 | + | 0.234413i | 0.646652 | − | 0.762785i | \(-0.276169\pi\) |
0.0747986 | + | 0.997199i | \(0.476169\pi\) | |||||||
\(882\) | −6.83008 | + | 10.3068i | −0.229981 | + | 0.347047i | ||||
\(883\) | 16.7696 | − | 51.6115i | 0.564342 | − | 1.73687i | −0.105557 | − | 0.994413i | \(-0.533663\pi\) |
0.669899 | − | 0.742452i | \(-0.266337\pi\) | |||||||
\(884\) | 37.8807 | + | 20.6571i | 1.27407 | + | 0.694774i | ||||
\(885\) | −14.0933 | + | 2.61535i | −0.473742 | + | 0.0879140i | ||||
\(886\) | −22.4702 | − | 9.67826i | −0.754903 | − | 0.325148i | ||||
\(887\) | 16.8855 | + | 23.2408i | 0.566958 | + | 0.780351i | 0.992190 | − | 0.124733i | \(-0.0398075\pi\) |
−0.425232 | + | 0.905084i | \(0.639808\pi\) | |||||||
\(888\) | −27.1836 | + | 33.5432i | −0.912220 | + | 1.12564i | ||||
\(889\) | −11.0080 | − | 7.99776i | −0.369196 | − | 0.268236i | ||||
\(890\) | 9.69746 | − | 1.76677i | 0.325060 | − | 0.0592223i | ||||
\(891\) | 10.8340 | + | 16.3428i | 0.362952 | + | 0.547504i | ||||
\(892\) | −1.16274 | − | 8.95816i | −0.0389315 | − | 0.299941i | ||||
\(893\) | 3.20580 | 0.107278 | ||||||||
\(894\) | −9.05588 | + | 16.7367i | −0.302874 | + | 0.559758i | ||||
\(895\) | 38.7497 | + | 1.60534i | 1.29526 | + | 0.0536607i | ||||
\(896\) | −10.3464 | − | 34.0879i | −0.345650 | − | 1.13880i | ||||
\(897\) | −4.96666 | + | 55.4896i | −0.165832 | + | 1.85274i | ||||
\(898\) | 7.57791 | + | 3.26392i | 0.252878 | + | 0.108918i | ||||
\(899\) | 6.57619 | 0.219328 | ||||||||
\(900\) | 3.95656 | − | 29.7379i | 0.131885 | − | 0.991265i | ||||
\(901\) | 12.4942 | 0.416241 | ||||||||
\(902\) | −14.6287 | − | 6.30080i | −0.487082 | − | 0.209794i | ||||
\(903\) | −0.316871 | + | 3.54022i | −0.0105448 | + | 0.117811i | ||||
\(904\) | −24.8129 | + | 36.9161i | −0.825265 | + | 1.22781i | ||||
\(905\) | −9.40633 | − | 7.44797i | −0.312677 | − | 0.247579i | ||||
\(906\) | −6.51492 | + | 12.0406i | −0.216444 | + | 0.400022i | ||||
\(907\) | 7.41562 | 0.246232 | 0.123116 | − | 0.992392i | \(-0.460711\pi\) | ||||
0.123116 | + | 0.992392i | \(0.460711\pi\) | |||||||
\(908\) | 31.3835 | − | 4.07348i | 1.04150 | − | 0.135183i | ||||
\(909\) | 0.392425 | − | 2.17461i | 0.0130159 | − | 0.0721272i | ||||
\(910\) | −5.96553 | + | 44.2699i | −0.197756 | + | 1.46753i | ||||
\(911\) | 41.1661 | + | 29.9089i | 1.36389 | + | 0.990926i | 0.998187 | + | 0.0601958i | \(0.0191725\pi\) |
0.365706 | + | 0.930730i | \(0.380827\pi\) | |||||||
\(912\) | −19.4697 | − | 9.63258i | −0.644708 | − | 0.318967i | ||||
\(913\) | 5.73419 | + | 7.89244i | 0.189774 | + | 0.261202i | ||||
\(914\) | 3.08595 | + | 1.32917i | 0.102074 | + | 0.0439649i | ||||
\(915\) | −23.6458 | − | 43.5266i | −0.781706 | − | 1.43895i | ||||
\(916\) | 16.7373 | − | 30.6926i | 0.553016 | − | 1.01411i | ||||
\(917\) | 5.14293 | − | 15.8283i | 0.169834 | − | 0.522696i | ||||
\(918\) | 29.5169 | − | 19.4286i | 0.974204 | − | 0.641240i | ||||
\(919\) | 30.1486 | + | 9.79588i | 0.994511 | + | 0.323136i | 0.760670 | − | 0.649139i | \(-0.224871\pi\) |
0.233841 | + | 0.972275i | \(0.424871\pi\) | |||||||
\(920\) | −36.5546 | − | 26.8315i | −1.20517 | − | 0.884607i | ||||
\(921\) | −4.45937 | + | 49.8219i | −0.146941 | + | 1.64169i | ||||
\(922\) | −10.5530 | − | 17.7749i | −0.347544 | − | 0.585384i | ||||
\(923\) | −33.4455 | + | 46.0338i | −1.10087 | + | 1.51522i | ||||
\(924\) | 23.7445 | − | 0.945704i | 0.781136 | − | 0.0311114i | ||||
\(925\) | −3.64488 | + | 43.9144i | −0.119843 | + | 1.44390i | ||||
\(926\) | −2.02027 | − | 8.96627i | −0.0663900 | − | 0.294650i | ||||
\(927\) | 2.71893 | + | 19.9246i | 0.0893013 | + | 0.654411i | ||||
\(928\) | −6.93258 | − | 1.03748i | −0.227573 | − | 0.0340569i | ||||
\(929\) | −14.2613 | + | 4.63377i | −0.467897 | + | 0.152029i | −0.533470 | − | 0.845819i | \(-0.679112\pi\) |
0.0655734 | + | 0.997848i | \(0.479112\pi\) | |||||||
\(930\) | 26.7147 | − | 11.4559i | 0.876010 | − | 0.375653i | ||||
\(931\) | 8.69019 | + | 2.82361i | 0.284810 | + | 0.0925402i | ||||
\(932\) | 3.93928 | − | 1.87013i | 0.129035 | − | 0.0612580i | ||||
\(933\) | 26.3644 | − | 30.2064i | 0.863131 | − | 0.988914i | ||||
\(934\) | −21.4722 | + | 24.4394i | −0.702593 | + | 0.799682i | ||||
\(935\) | −6.31071 | − | 22.5604i | −0.206382 | − | 0.737803i | ||||
\(936\) | 27.3203 | + | 26.5087i | 0.892994 | + | 0.866464i | ||||
\(937\) | −15.0163 | − | 20.6681i | −0.490560 | − | 0.675198i | 0.489931 | − | 0.871761i | \(-0.337022\pi\) |
−0.980491 | + | 0.196563i | \(0.937022\pi\) | |||||||
\(938\) | −35.9762 | − | 31.6084i | −1.17466 | − | 1.03205i | ||||
\(939\) | −9.19837 | + | 5.50191i | −0.300178 | + | 0.179548i | ||||
\(940\) | 3.44980 | − | 3.00131i | 0.112520 | − | 0.0978920i | ||||
\(941\) | −9.07867 | − | 12.4957i | −0.295956 | − | 0.407349i | 0.634981 | − | 0.772528i | \(-0.281008\pi\) |
−0.930937 | + | 0.365179i | \(0.881008\pi\) | |||||||
\(942\) | −13.7507 | + | 25.4134i | −0.448022 | + | 0.828015i | ||||
\(943\) | −37.0645 | −1.20699 | ||||||||
\(944\) | 8.01751 | + | 12.4450i | 0.260948 | + | 0.405052i | ||||
\(945\) | 29.7037 | + | 21.3571i | 0.966260 | + | 0.694748i | ||||
\(946\) | 1.72665 | − | 1.02512i | 0.0561381 | − | 0.0333294i | ||||
\(947\) | 34.6174 | − | 11.2479i | 1.12491 | − | 0.365507i | 0.313273 | − | 0.949663i | \(-0.398575\pi\) |
0.811641 | + | 0.584156i | \(0.198575\pi\) | |||||||
\(948\) | −22.0194 | + | 32.9928i | −0.715158 | + | 1.07156i | ||||
\(949\) | 52.3558 | 1.69954 | ||||||||
\(950\) | −21.9570 | + | 3.06752i | −0.712378 | + | 0.0995235i | ||||
\(951\) | 49.4026 | + | 21.0870i | 1.60199 | + | 0.683792i | ||||
\(952\) | −1.56426 | − | 42.7979i | −0.0506980 | − | 1.38709i | ||||
\(953\) | −6.65664 | − | 20.4870i | −0.215630 | − | 0.663640i | −0.999108 | − | 0.0422213i | \(-0.986557\pi\) |
0.783479 | − | 0.621419i | \(-0.213443\pi\) | |||||||
\(954\) | 10.6207 | + | 2.95169i | 0.343857 | + | 0.0955644i | ||||
\(955\) | 13.0921 | + | 46.8032i | 0.423649 | + | 1.51452i | ||||
\(956\) | 4.95236 | + | 38.1546i | 0.160171 | + | 1.23401i | ||||
\(957\) | 1.83567 | − | 4.30061i | 0.0593388 | − | 0.139019i | ||||
\(958\) | 11.6629 | + | 1.08239i | 0.376810 | + | 0.0349706i | ||||
\(959\) | −25.3903 | + | 18.4472i | −0.819896 | + | 0.595690i | ||||
\(960\) | −29.9698 | + | 7.86211i | −0.967270 | + | 0.253748i | ||||
\(961\) | −2.29456 | − | 1.66709i | −0.0740180 | − | 0.0537772i | ||||
\(962\) | −42.0054 | − | 36.9056i | −1.35431 | − | 1.18988i | ||||
\(963\) | −1.14757 | + | 6.35921i | −0.0369799 | + | 0.204923i | ||||
\(964\) | 33.1415 | + | 6.20497i | 1.06742 | + | 0.199849i | ||||
\(965\) | 9.52127 | + | 3.53569i | 0.306500 | + | 0.113818i | ||||
\(966\) | 49.8762 | − | 23.8785i | 1.60474 | − | 0.768279i | ||||
\(967\) | −1.42209 | + | 4.37674i | −0.0457313 | + | 0.140747i | −0.971315 | − | 0.237797i | \(-0.923575\pi\) |
0.925584 | + | 0.378543i | \(0.123575\pi\) | |||||||
\(968\) | 10.9123 | + | 13.9204i | 0.350735 | + | 0.447418i | ||||
\(969\) | −19.6745 | − | 17.1721i | −0.632036 | − | 0.551646i | ||||
\(970\) | −9.40170 | − | 4.51960i | −0.301871 | − | 0.145116i | ||||
\(971\) | 14.0446 | + | 43.2248i | 0.450712 | + | 1.38715i | 0.876096 | + | 0.482137i | \(0.160139\pi\) |
−0.425383 | + | 0.905013i | \(0.639861\pi\) | |||||||
\(972\) | 29.6808 | − | 9.54205i | 0.952012 | − | 0.306061i | ||||
\(973\) | 11.8786 | − | 16.3495i | 0.380810 | − | 0.524140i | ||||
\(974\) | −8.50483 | − | 37.7458i | −0.272512 | − | 1.20945i | ||||
\(975\) | 38.2784 | + | 6.65266i | 1.22589 | + | 0.213056i | ||||
\(976\) | −32.3404 | + | 39.6405i | −1.03519 | + | 1.26886i | ||||
\(977\) | −47.4755 | − | 34.4930i | −1.51888 | − | 1.10353i | −0.962041 | − | 0.272905i | \(-0.912015\pi\) |
−0.556835 | − | 0.830623i | \(-0.687985\pi\) | |||||||
\(978\) | 48.7961 | − | 6.49609i | 1.56033 | − | 0.207722i | ||||
\(979\) | 6.45861 | − | 2.09853i | 0.206418 | − | 0.0670693i | ||||
\(980\) | 11.9951 | − | 5.09735i | 0.383170 | − | 0.162829i | ||||
\(981\) | 44.8010 | − | 21.6293i | 1.43038 | − | 0.690570i | ||||
\(982\) | 0.441516 | + | 1.95952i | 0.0140893 | + | 0.0625308i | ||||
\(983\) | 28.8848 | + | 9.38525i | 0.921283 | + | 0.299343i | 0.730993 | − | 0.682385i | \(-0.239057\pi\) |
0.190290 | + | 0.981728i | \(0.439057\pi\) | |||||||
\(984\) | −15.9455 | + | 19.6760i | −0.508324 | + | 0.627247i | ||||
\(985\) | −47.3497 | − | 1.96163i | −1.50869 | − | 0.0625028i | ||||
\(986\) | −7.73974 | − | 3.33362i | −0.246484 | − | 0.106164i | ||||
\(987\) | 1.24351 | + | 5.43585i | 0.0395813 | + | 0.173025i | ||||
\(988\) | 13.4685 | − | 24.6983i | 0.428489 | − | 0.785758i | ||||
\(989\) | 2.74655 | − | 3.78030i | 0.0873353 | − | 0.120207i | ||||
\(990\) | −0.0346424 | − | 20.6683i | −0.00110101 | − | 0.656882i | ||||
\(991\) | −27.8358 | − | 38.3127i | −0.884233 | − | 1.21704i | −0.975230 | − | 0.221191i | \(-0.929006\pi\) |
0.0909975 | − | 0.995851i | \(-0.470994\pi\) | |||||||
\(992\) | −21.4081 | − | 21.0460i | −0.679708 | − | 0.668211i | ||||
\(993\) | −8.84725 | + | 20.7273i | −0.280759 | + | 0.657763i | ||||
\(994\) | 56.2365 | + | 5.21914i | 1.78371 | + | 0.165541i | ||||
\(995\) | 27.6826 | + | 10.2798i | 0.877596 | + | 0.325893i | ||||
\(996\) | 14.5501 | − | 5.37669i | 0.461037 | − | 0.170367i | ||||
\(997\) | 39.9997 | − | 12.9967i | 1.26680 | − | 0.411609i | 0.402889 | − | 0.915249i | \(-0.368006\pi\) |
0.863914 | + | 0.503640i | \(0.168006\pi\) | |||||||
\(998\) | −4.86344 | − | 2.09475i | −0.153949 | − | 0.0663083i | ||||
\(999\) | −42.8503 | + | 16.1541i | −1.35572 | + | 0.511094i |
(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 | 300.2.r.a.59.37 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.20 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.13 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.44 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.44 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.13 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.20 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.37 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.13 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.20 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.37 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.44 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.239.13 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.20 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.37 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.44 | yes | 224 | 25.14 | even | 10 | inner |