Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(29,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.p (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 239.3 | ||
Character | \(\chi\) | \(=\) | 490.239 |
Dual form | 490.2.p.a.449.3 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | − | 0.623490i | −0.552838 | − | 0.440874i | ||||
\(3\) | −1.23386 | + | 2.56214i | −0.712370 | + | 1.47925i | 0.158304 | + | 0.987390i | \(0.449397\pi\) |
−0.870674 | + | 0.491861i | \(0.836317\pi\) | |||||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −1.72545 | + | 1.42226i | −0.771646 | + | 0.636052i | ||||
\(6\) | 2.56214 | − | 1.23386i | 1.04599 | − | 0.503722i | ||||
\(7\) | −1.42526 | + | 2.22904i | −0.538699 | + | 0.842498i | ||||
\(8\) | 0.433884 | − | 0.900969i | 0.153401 | − | 0.318541i | ||||
\(9\) | −3.17167 | − | 3.97715i | −1.05722 | − | 1.32572i | ||||
\(10\) | 2.23578 | − | 0.0361627i | 0.707014 | − | 0.0114357i | ||||
\(11\) | −3.14682 | + | 3.94599i | −0.948802 | + | 1.18976i | 0.0329241 | + | 0.999458i | \(0.489518\pi\) |
−0.981726 | + | 0.190302i | \(0.939053\pi\) | |||||||
\(12\) | −2.77246 | − | 0.632796i | −0.800340 | − | 0.182672i | ||||
\(13\) | −3.59271 | − | 2.86509i | −0.996438 | − | 0.794633i | −0.0177203 | − | 0.999843i | \(-0.505641\pi\) |
−0.978718 | + | 0.205210i | \(0.934212\pi\) | |||||||
\(14\) | 2.50410 | − | 0.854097i | 0.669249 | − | 0.228267i | ||||
\(15\) | −1.51505 | − | 6.17571i | −0.391184 | − | 1.59456i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 6.93952 | + | 1.58390i | 1.68308 | + | 0.384152i | 0.953890 | − | 0.300157i | \(-0.0970390\pi\) |
0.729192 | + | 0.684309i | \(0.239896\pi\) | |||||||
\(18\) | 5.08697i | 1.19901i | ||||||||
\(19\) | 6.75805 | 1.55040 | 0.775202 | − | 0.631714i | \(-0.217648\pi\) | ||||
0.775202 | + | 0.631714i | \(0.217648\pi\) | |||||||
\(20\) | −1.77055 | − | 1.36571i | −0.395906 | − | 0.305382i | ||||
\(21\) | −3.95253 | − | 6.40205i | −0.862514 | − | 1.39704i | ||||
\(22\) | 4.92056 | − | 1.12309i | 1.04907 | − | 0.239443i | ||||
\(23\) | −0.428438 | + | 0.0977881i | −0.0893354 | + | 0.0203902i | −0.266955 | − | 0.963709i | \(-0.586018\pi\) |
0.177620 | + | 0.984099i | \(0.443160\pi\) | |||||||
\(24\) | 1.77305 | + | 2.22334i | 0.361923 | + | 0.453837i | ||||
\(25\) | 0.954373 | − | 4.90807i | 0.190875 | − | 0.981614i | ||||
\(26\) | 1.02254 | + | 4.48004i | 0.200536 | + | 0.878607i | ||||
\(27\) | 5.78603 | − | 1.32062i | 1.11352 | − | 0.254154i | ||||
\(28\) | −2.49031 | − | 0.893521i | −0.470623 | − | 0.168860i | ||||
\(29\) | −0.196990 | + | 0.863069i | −0.0365801 | + | 0.160268i | −0.989919 | − | 0.141634i | \(-0.954764\pi\) |
0.953339 | + | 0.301902i | \(0.0976215\pi\) | |||||||
\(30\) | −2.66598 | + | 5.77299i | −0.486739 | + | 1.05400i | ||||
\(31\) | −0.641708 | −0.115254 | −0.0576271 | − | 0.998338i | \(-0.518353\pi\) | ||||
−0.0576271 | + | 0.998338i | \(0.518353\pi\) | |||||||
\(32\) | 0.974928 | + | 0.222521i | 0.172345 | + | 0.0393365i | ||||
\(33\) | −6.22743 | − | 12.9314i | −1.08406 | − | 2.25106i | ||||
\(34\) | −4.43799 | − | 5.56507i | −0.761109 | − | 0.954401i | ||||
\(35\) | −0.711043 | − | 5.87319i | −0.120188 | − | 0.992751i | ||||
\(36\) | 3.17167 | − | 3.97715i | 0.528612 | − | 0.662858i | ||||
\(37\) | −10.1926 | − | 2.32639i | −1.67565 | − | 0.382457i | −0.724040 | − | 0.689758i | \(-0.757717\pi\) |
−0.951612 | + | 0.307302i | \(0.900574\pi\) | |||||||
\(38\) | −5.28366 | − | 4.21358i | −0.857122 | − | 0.683532i | ||||
\(39\) | 11.7737 | − | 5.66990i | 1.88529 | − | 0.907910i | ||||
\(40\) | 0.532763 | + | 2.17167i | 0.0842372 | + | 0.343372i | ||||
\(41\) | 4.74246 | + | 2.28385i | 0.740648 | + | 0.356677i | 0.765862 | − | 0.643005i | \(-0.222312\pi\) |
−0.0252140 | + | 0.999682i | \(0.508027\pi\) | |||||||
\(42\) | −0.901396 | + | 7.46969i | −0.139088 | + | 1.15260i | ||||
\(43\) | −0.343620 | − | 0.713534i | −0.0524015 | − | 0.108813i | 0.873124 | − | 0.487498i | \(-0.162090\pi\) |
−0.925525 | + | 0.378686i | \(0.876376\pi\) | |||||||
\(44\) | −4.54729 | − | 2.18986i | −0.685529 | − | 0.330133i | ||||
\(45\) | 11.1291 | + | 2.35145i | 1.65903 | + | 0.350534i | ||||
\(46\) | 0.395936 | + | 0.190673i | 0.0583776 | + | 0.0281132i | ||||
\(47\) | −0.250154 | − | 0.199491i | −0.0364887 | − | 0.0290988i | 0.605076 | − | 0.796168i | \(-0.293143\pi\) |
−0.641564 | + | 0.767069i | \(0.721714\pi\) | |||||||
\(48\) | − | 2.84376i | − | 0.410461i | ||||||
\(49\) | −2.93725 | − | 6.35394i | −0.419607 | − | 0.907706i | ||||
\(50\) | −3.80629 | + | 3.24224i | −0.538291 | + | 0.458522i | ||||
\(51\) | −12.6206 | + | 15.8257i | −1.76723 | + | 2.21604i | ||||
\(52\) | 1.99380 | − | 4.14018i | 0.276491 | − | 0.574139i | ||||
\(53\) | −3.92580 | + | 0.896037i | −0.539249 | + | 0.123080i | −0.483467 | − | 0.875363i | \(-0.660623\pi\) |
−0.0557828 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(54\) | −5.34709 | − | 2.57503i | −0.727647 | − | 0.350417i | ||||
\(55\) | −0.182517 | − | 11.2842i | −0.0246106 | − | 1.52156i | ||||
\(56\) | 1.38990 | + | 2.25126i | 0.185733 | + | 0.300838i | ||||
\(57\) | −8.33849 | + | 17.3151i | −1.10446 | + | 2.29344i | ||||
\(58\) | 0.692128 | − | 0.551953i | 0.0908808 | − | 0.0724750i | ||||
\(59\) | −4.16024 | + | 2.00347i | −0.541617 | + | 0.260829i | −0.684629 | − | 0.728892i | \(-0.740036\pi\) |
0.143011 | + | 0.989721i | \(0.454321\pi\) | |||||||
\(60\) | 5.68375 | − | 2.85129i | 0.733769 | − | 0.368100i | ||||
\(61\) | 0.950103 | − | 4.16267i | 0.121648 | − | 0.532976i | −0.876976 | − | 0.480535i | \(-0.840443\pi\) |
0.998624 | − | 0.0524412i | \(-0.0167002\pi\) | |||||||
\(62\) | 0.501708 | + | 0.400098i | 0.0637169 | + | 0.0508126i | ||||
\(63\) | 13.3857 | − | 1.40130i | 1.68644 | − | 0.176547i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | 10.2739 | − | 0.166177i | 1.27433 | − | 0.0206117i | ||||
\(66\) | −3.19379 | + | 13.9929i | −0.393128 | + | 1.72241i | ||||
\(67\) | 0.809991i | 0.0989562i | 0.998775 | + | 0.0494781i | \(0.0157558\pi\) | ||||
−0.998775 | + | 0.0494781i | \(0.984244\pi\) | |||||||
\(68\) | 7.11799i | 0.863183i | ||||||||
\(69\) | 0.278086 | − | 1.21837i | 0.0334776 | − | 0.146675i | ||||
\(70\) | −3.10596 | + | 5.03518i | −0.371233 | + | 0.601819i | ||||
\(71\) | 1.44005 | + | 6.30928i | 0.170903 | + | 0.748773i | 0.985629 | + | 0.168927i | \(0.0540303\pi\) |
−0.814726 | + | 0.579846i | \(0.803113\pi\) | |||||||
\(72\) | −4.95942 | + | 1.13196i | −0.584474 | + | 0.133402i | ||||
\(73\) | 2.10274 | − | 1.67688i | 0.246108 | − | 0.196264i | −0.492665 | − | 0.870219i | \(-0.663977\pi\) |
0.738773 | + | 0.673955i | \(0.235406\pi\) | |||||||
\(74\) | 6.51841 | + | 8.17382i | 0.757749 | + | 0.950188i | ||||
\(75\) | 11.3976 | + | 8.50111i | 1.31608 | + | 0.981624i | ||||
\(76\) | 1.50381 | + | 6.58861i | 0.172499 | + | 0.755766i | ||||
\(77\) | −4.31072 | − | 12.6385i | −0.491252 | − | 1.44029i | ||||
\(78\) | −12.7401 | − | 2.90785i | −1.44254 | − | 0.329250i | ||||
\(79\) | −12.9233 | −1.45398 | −0.726990 | − | 0.686648i | \(-0.759081\pi\) | ||||
−0.726990 | + | 0.686648i | \(0.759081\pi\) | |||||||
\(80\) | 0.937485 | − | 2.03005i | 0.104814 | − | 0.226967i | ||||
\(81\) | −0.359666 | + | 1.57580i | −0.0399628 | + | 0.175089i | ||||
\(82\) | −2.28385 | − | 4.74246i | −0.252209 | − | 0.523717i | ||||
\(83\) | −5.09075 | + | 4.05974i | −0.558782 | + | 0.445614i | −0.861711 | − | 0.507399i | \(-0.830607\pi\) |
0.302929 | + | 0.953013i | \(0.402036\pi\) | |||||||
\(84\) | 5.36201 | − | 5.27803i | 0.585044 | − | 0.575880i | ||||
\(85\) | −14.2265 | + | 7.13684i | −1.54308 | + | 0.774099i | ||||
\(86\) | −0.176228 | + | 0.772106i | −0.0190032 | + | 0.0832584i | ||||
\(87\) | −1.96824 | − | 1.56962i | −0.211018 | − | 0.168281i | ||||
\(88\) | 2.18986 | + | 4.54729i | 0.233440 | + | 0.484742i | ||||
\(89\) | 6.77361 | + | 8.49384i | 0.718002 | + | 0.900346i | 0.998223 | − | 0.0595899i | \(-0.0189793\pi\) |
−0.280221 | + | 0.959935i | \(0.590408\pi\) | |||||||
\(90\) | −7.23497 | − | 8.77732i | −0.762633 | − | 0.925211i | ||||
\(91\) | 11.5070 | − | 3.92479i | 1.20626 | − | 0.411430i | ||||
\(92\) | −0.190673 | − | 0.395936i | −0.0198790 | − | 0.0412792i | ||||
\(93\) | 0.791778 | − | 1.64414i | 0.0821036 | − | 0.170490i | ||||
\(94\) | 0.0711976 | + | 0.311937i | 0.00734347 | + | 0.0321738i | ||||
\(95\) | −11.6607 | + | 9.61168i | −1.19636 | + | 0.986138i | ||||
\(96\) | −1.77305 | + | 2.22334i | −0.180962 | + | 0.226919i | ||||
\(97\) | 0.945358i | 0.0959866i | 0.998848 | + | 0.0479933i | \(0.0152826\pi\) | ||||
−0.998848 | + | 0.0479933i | \(0.984717\pi\) | |||||||
\(98\) | −1.66519 | + | 6.79906i | −0.168209 | + | 0.686808i | ||||
\(99\) | 25.6745 | 2.58038 | ||||||||
\(100\) | 4.99738 | − | 0.161703i | 0.499738 | − | 0.0161703i | ||||
\(101\) | −4.69351 | − | 2.26027i | −0.467021 | − | 0.224906i | 0.185547 | − | 0.982635i | \(-0.440594\pi\) |
−0.652568 | + | 0.757730i | \(0.726309\pi\) | |||||||
\(102\) | 19.7343 | − | 4.50423i | 1.95399 | − | 0.445985i | ||||
\(103\) | 3.64422 | − | 7.56731i | 0.359076 | − | 0.745629i | −0.640678 | − | 0.767810i | \(-0.721347\pi\) |
0.999754 | + | 0.0221808i | \(0.00706096\pi\) | |||||||
\(104\) | −4.14018 | + | 1.99380i | −0.405978 | + | 0.195508i | ||||
\(105\) | 15.9253 | + | 5.42491i | 1.55415 | + | 0.529417i | ||||
\(106\) | 3.62798 | + | 1.74714i | 0.352381 | + | 0.169698i | ||||
\(107\) | 12.6083 | − | 10.0548i | 1.21889 | − | 0.972034i | 0.218899 | − | 0.975748i | \(-0.429754\pi\) |
0.999993 | + | 0.00371364i | \(0.00118209\pi\) | |||||||
\(108\) | 2.57503 | + | 5.34709i | 0.247782 | + | 0.514524i | ||||
\(109\) | −7.41901 | + | 9.30315i | −0.710613 | + | 0.891080i | −0.997766 | − | 0.0668046i | \(-0.978720\pi\) |
0.287154 | + | 0.957885i | \(0.407291\pi\) | |||||||
\(110\) | −6.89288 | + | 8.93614i | −0.657211 | + | 0.852027i | ||||
\(111\) | 18.5368 | − | 23.2444i | 1.75943 | − | 2.20626i | ||||
\(112\) | 0.316974 | − | 2.62670i | 0.0299512 | − | 0.248199i | ||||
\(113\) | −13.6057 | + | 10.8502i | −1.27991 | + | 1.02070i | −0.281790 | + | 0.959476i | \(0.590928\pi\) |
−0.998124 | + | 0.0612214i | \(0.980500\pi\) | |||||||
\(114\) | 17.3151 | − | 8.33849i | 1.62170 | − | 0.780971i | ||||
\(115\) | 0.600169 | − | 0.778077i | 0.0559661 | − | 0.0725561i | ||||
\(116\) | −0.885264 | −0.0821947 | ||||||||
\(117\) | 23.3759i | 2.16110i | ||||||||
\(118\) | 4.50175 | + | 1.02749i | 0.414420 | + | 0.0945886i | ||||
\(119\) | −13.4212 | + | 13.2110i | −1.23032 | + | 1.21105i | ||||
\(120\) | −6.22148 | − | 1.31453i | −0.567941 | − | 0.120000i | ||||
\(121\) | −3.22061 | − | 14.1104i | −0.292782 | − | 1.28276i | ||||
\(122\) | −3.33821 | + | 2.66213i | −0.302227 | + | 0.241018i | ||||
\(123\) | −11.7031 | + | 9.33289i | −1.05523 | + | 0.841519i | ||||
\(124\) | −0.142793 | − | 0.625619i | −0.0128232 | − | 0.0561823i | ||||
\(125\) | 5.33381 | + | 9.82601i | 0.477071 | + | 0.878865i | ||||
\(126\) | −11.3391 | − | 7.25027i | −1.01016 | − | 0.645905i | ||||
\(127\) | 15.9903 | + | 3.64968i | 1.41891 | + | 0.323857i | 0.862081 | − | 0.506770i | \(-0.169161\pi\) |
0.556829 | + | 0.830627i | \(0.312018\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 2.25215 | 0.198291 | ||||||||
\(130\) | −8.13610 | − | 6.27578i | −0.713583 | − | 0.550422i | ||||
\(131\) | −11.8399 | + | 5.70178i | −1.03445 | + | 0.498166i | −0.872491 | − | 0.488631i | \(-0.837497\pi\) |
−0.161962 | + | 0.986797i | \(0.551782\pi\) | |||||||
\(132\) | 11.2214 | − | 8.94879i | 0.976700 | − | 0.778893i | ||||
\(133\) | −9.63200 | + | 15.0640i | −0.835201 | + | 1.30621i | ||||
\(134\) | 0.505021 | − | 0.633277i | 0.0436272 | − | 0.0547068i | ||||
\(135\) | −8.10525 | + | 10.5079i | −0.697589 | + | 0.904375i | ||||
\(136\) | 4.43799 | − | 5.56507i | 0.380555 | − | 0.477200i | ||||
\(137\) | −6.97876 | − | 14.4915i | −0.596235 | − | 1.23810i | −0.952736 | − | 0.303800i | \(-0.901744\pi\) |
0.356500 | − | 0.934295i | \(-0.383970\pi\) | |||||||
\(138\) | −0.977060 | + | 0.779179i | −0.0831729 | + | 0.0663281i | ||||
\(139\) | −3.40151 | − | 1.63808i | −0.288513 | − | 0.138940i | 0.284030 | − | 0.958815i | \(-0.408329\pi\) |
−0.572542 | + | 0.819875i | \(0.694043\pi\) | |||||||
\(140\) | 5.56772 | − | 2.00012i | 0.470558 | − | 0.169041i | ||||
\(141\) | 0.819779 | − | 0.394785i | 0.0690379 | − | 0.0332469i | ||||
\(142\) | 2.80789 | − | 5.83065i | 0.235633 | − | 0.489297i | ||||
\(143\) | 22.6112 | − | 5.16086i | 1.89084 | − | 0.431573i | ||||
\(144\) | 4.58320 | + | 2.20715i | 0.381933 | + | 0.183929i | ||||
\(145\) | −0.887609 | − | 1.76935i | −0.0737119 | − | 0.146937i | ||||
\(146\) | −2.68951 | −0.222586 | ||||||||
\(147\) | 19.9038 | + | 0.314246i | 1.64164 | + | 0.0259186i | ||||
\(148\) | − | 10.4547i | − | 0.859372i | ||||||
\(149\) | −5.37208 | + | 6.73637i | −0.440098 | + | 0.551865i | −0.951569 | − | 0.307435i | \(-0.900529\pi\) |
0.511471 | + | 0.859300i | \(0.329101\pi\) | |||||||
\(150\) | −3.61064 | − | 13.7527i | −0.294808 | − | 1.12291i | ||||
\(151\) | 1.54629 | + | 6.77474i | 0.125835 | + | 0.551321i | 0.998062 | + | 0.0622197i | \(0.0198179\pi\) |
−0.872227 | + | 0.489101i | \(0.837325\pi\) | |||||||
\(152\) | 2.93221 | − | 6.08879i | 0.237833 | − | 0.493866i | ||||
\(153\) | −15.7105 | − | 32.6231i | −1.27012 | − | 2.63742i | ||||
\(154\) | −4.50969 | + | 12.5688i | −0.363402 | + | 1.01283i | ||||
\(155\) | 1.10724 | − | 0.912673i | 0.0889354 | − | 0.0733077i | ||||
\(156\) | 8.14763 | + | 10.2168i | 0.652332 | + | 0.817999i | ||||
\(157\) | 1.91141 | + | 3.96908i | 0.152547 | + | 0.316767i | 0.963212 | − | 0.268743i | \(-0.0866084\pi\) |
−0.810665 | + | 0.585511i | \(0.800894\pi\) | |||||||
\(158\) | 10.1038 | + | 8.05752i | 0.803816 | + | 0.641022i | ||||
\(159\) | 2.54811 | − | 11.1640i | 0.202079 | − | 0.885364i | ||||
\(160\) | −1.99867 | + | 1.00265i | −0.158009 | + | 0.0792663i | ||||
\(161\) | 0.392663 | − | 1.09438i | 0.0309462 | − | 0.0862492i | ||||
\(162\) | 1.26369 | − | 1.00776i | 0.0992850 | − | 0.0791771i | ||||
\(163\) | −1.86494 | − | 3.87259i | −0.146073 | − | 0.303324i | 0.815076 | − | 0.579355i | \(-0.196695\pi\) |
−0.961149 | + | 0.276030i | \(0.910981\pi\) | |||||||
\(164\) | −1.17129 | + | 5.13176i | −0.0914625 | + | 0.400723i | ||||
\(165\) | 29.1369 | + | 13.4555i | 2.26830 | + | 1.04751i | ||||
\(166\) | 6.51131 | 0.505376 | ||||||||
\(167\) | 15.7654 | + | 3.59835i | 1.21996 | + | 0.278448i | 0.783567 | − | 0.621307i | \(-0.213398\pi\) |
0.436395 | + | 0.899755i | \(0.356255\pi\) | |||||||
\(168\) | −7.48299 | + | 0.783366i | −0.577325 | + | 0.0604380i | ||||
\(169\) | 1.80605 | + | 7.91281i | 0.138927 | + | 0.608678i | ||||
\(170\) | 15.5725 | + | 3.29030i | 1.19436 | + | 0.252354i | ||||
\(171\) | −21.4343 | − | 26.8778i | −1.63912 | − | 2.05540i | ||||
\(172\) | 0.619181 | − | 0.493781i | 0.0472121 | − | 0.0376504i | ||||
\(173\) | −6.04573 | + | 1.37990i | −0.459648 | + | 0.104912i | −0.446074 | − | 0.894996i | \(-0.647178\pi\) |
−0.0135745 | + | 0.999908i | \(0.504321\pi\) | |||||||
\(174\) | 0.560192 | + | 2.45436i | 0.0424680 | + | 0.186065i | ||||
\(175\) | 9.58006 | + | 9.12263i | 0.724184 | + | 0.689606i | ||||
\(176\) | 1.12309 | − | 4.92056i | 0.0846558 | − | 0.370901i | ||||
\(177\) | − | 13.1311i | − | 0.986995i | ||||||
\(178\) | − | 10.8640i | − | 0.814294i | ||||||
\(179\) | 4.10235 | − | 17.9736i | 0.306624 | − | 1.34341i | −0.553298 | − | 0.832983i | \(-0.686631\pi\) |
0.859922 | − | 0.510425i | \(-0.170512\pi\) | |||||||
\(180\) | 0.183958 | + | 11.3733i | 0.0137115 | + | 0.847717i | ||||
\(181\) | −4.32496 | − | 5.42332i | −0.321471 | − | 0.403112i | 0.594668 | − | 0.803971i | \(-0.297283\pi\) |
−0.916140 | + | 0.400859i | \(0.868712\pi\) | |||||||
\(182\) | −11.4436 | − | 4.10595i | −0.848254 | − | 0.304353i | ||||
\(183\) | 9.49305 | + | 7.57046i | 0.701747 | + | 0.559624i | ||||
\(184\) | −0.0977881 | + | 0.428438i | −0.00720904 | + | 0.0315848i | ||||
\(185\) | 20.8956 | − | 10.4824i | 1.53627 | − | 0.770681i | ||||
\(186\) | −1.64414 | + | 0.791778i | −0.120555 | + | 0.0580560i | ||||
\(187\) | −28.0875 | + | 22.3990i | −2.05396 | + | 1.63798i | ||||
\(188\) | 0.138825 | − | 0.288273i | 0.0101249 | − | 0.0210245i | ||||
\(189\) | −5.30289 | + | 14.7795i | −0.385729 | + | 1.07505i | ||||
\(190\) | 15.1095 | − | 0.244389i | 1.09616 | − | 0.0177299i | ||||
\(191\) | −16.1777 | − | 7.79076i | −1.17058 | − | 0.563719i | −0.255424 | − | 0.966829i | \(-0.582215\pi\) |
−0.915152 | + | 0.403110i | \(0.867929\pi\) | |||||||
\(192\) | 2.77246 | − | 0.632796i | 0.200085 | − | 0.0456681i | ||||
\(193\) | 6.63466 | − | 13.7770i | 0.477574 | − | 0.991692i | −0.513464 | − | 0.858111i | \(-0.671638\pi\) |
0.991038 | − | 0.133581i | \(-0.0426475\pi\) | |||||||
\(194\) | 0.589421 | − | 0.739111i | 0.0423180 | − | 0.0530651i | ||||
\(195\) | −12.2508 | + | 26.5283i | −0.877301 | + | 1.89973i | ||||
\(196\) | 5.54104 | − | 4.27749i | 0.395788 | − | 0.305535i | ||||
\(197\) | 11.0383i | 0.786446i | 0.919443 | + | 0.393223i | \(0.128640\pi\) | ||||
−0.919443 | + | 0.393223i | \(0.871360\pi\) | |||||||
\(198\) | −20.0731 | − | 16.0078i | −1.42653 | − | 1.13762i | ||||
\(199\) | 4.76048 | + | 2.29253i | 0.337462 | + | 0.162513i | 0.594938 | − | 0.803772i | \(-0.297177\pi\) |
−0.257476 | + | 0.966285i | \(0.582891\pi\) | |||||||
\(200\) | −4.00793 | − | 2.98939i | −0.283404 | − | 0.211382i | ||||
\(201\) | −2.07531 | − | 0.999416i | −0.146381 | − | 0.0704934i | ||||
\(202\) | 2.26027 | + | 4.69351i | 0.159032 | + | 0.330234i | ||||
\(203\) | −1.64305 | − | 1.66920i | −0.115320 | − | 0.117155i | ||||
\(204\) | −18.2373 | − | 8.78260i | −1.27686 | − | 0.614905i | ||||
\(205\) | −11.4311 | + | 2.80432i | −0.798384 | + | 0.195862i | ||||
\(206\) | −7.56731 | + | 3.64422i | −0.527239 | + | 0.253905i | ||||
\(207\) | 1.74778 | + | 1.39381i | 0.121479 | + | 0.0968764i | ||||
\(208\) | 4.48004 | + | 1.02254i | 0.310635 | + | 0.0709003i | ||||
\(209\) | −21.2664 | + | 26.6672i | −1.47102 | + | 1.84461i | ||||
\(210\) | −9.06850 | − | 14.1706i | −0.625786 | − | 0.977865i | ||||
\(211\) | −2.48930 | − | 3.12148i | −0.171370 | − | 0.214891i | 0.688728 | − | 0.725020i | \(-0.258169\pi\) |
−0.860098 | + | 0.510128i | \(0.829598\pi\) | |||||||
\(212\) | −1.74714 | − | 3.62798i | −0.119994 | − | 0.249171i | ||||
\(213\) | −17.9421 | − | 4.09516i | −1.22937 | − | 0.280596i | ||||
\(214\) | −16.1266 | −1.10239 | ||||||||
\(215\) | 1.60773 | + | 0.742453i | 0.109646 | + | 0.0506349i | ||||
\(216\) | 1.32062 | − | 5.78603i | 0.0898570 | − | 0.393689i | ||||
\(217\) | 0.914603 | − | 1.43039i | 0.0620873 | − | 0.0971014i | ||||
\(218\) | 11.6008 | − | 2.64781i | 0.785708 | − | 0.179333i | ||||
\(219\) | 1.70191 | + | 7.45656i | 0.115005 | + | 0.503868i | ||||
\(220\) | 10.9607 | − | 2.68891i | 0.738968 | − | 0.181286i | ||||
\(221\) | −20.3937 | − | 25.5729i | −1.37183 | − | 1.72022i | ||||
\(222\) | −28.9853 | + | 6.61570i | −1.94536 | + | 0.444017i | ||||
\(223\) | −26.0962 | + | 5.95628i | −1.74753 | + | 0.398862i | −0.972470 | − | 0.233028i | \(-0.925137\pi\) |
−0.775058 | + | 0.631890i | \(0.782279\pi\) | |||||||
\(224\) | −1.88554 | + | 1.85600i | −0.125983 | + | 0.124009i | ||||
\(225\) | −22.5471 | + | 11.7711i | −1.50314 | + | 0.784740i | ||||
\(226\) | 17.4023 | 1.15758 | ||||||||
\(227\) | 24.5432i | 1.62899i | 0.580171 | + | 0.814495i | \(0.302986\pi\) | ||||
−0.580171 | + | 0.814495i | \(0.697014\pi\) | |||||||
\(228\) | −18.7364 | − | 4.27647i | −1.24085 | − | 0.283216i | ||||
\(229\) | −0.670680 | + | 0.322982i | −0.0443198 | + | 0.0213433i | −0.455912 | − | 0.890025i | \(-0.650687\pi\) |
0.411593 | + | 0.911368i | \(0.364973\pi\) | |||||||
\(230\) | −0.954354 | + | 0.234126i | −0.0629283 | + | 0.0154378i | ||||
\(231\) | 37.7003 | + | 4.54944i | 2.48050 | + | 0.299331i | ||||
\(232\) | 0.692128 | + | 0.551953i | 0.0454404 | + | 0.0362375i | ||||
\(233\) | −29.4226 | − | 6.71552i | −1.92754 | − | 0.439948i | −0.997340 | − | 0.0728948i | \(-0.976776\pi\) |
−0.930200 | − | 0.367054i | \(-0.880367\pi\) | |||||||
\(234\) | 14.5746 | − | 18.2760i | 0.952772 | − | 1.19474i | ||||
\(235\) | 0.715357 | − | 0.0115706i | 0.0466647 | − | 0.000754782i | ||||
\(236\) | −2.87898 | − | 3.61012i | −0.187405 | − | 0.234999i | ||||
\(237\) | 15.9455 | − | 33.1112i | 1.03577 | − | 2.15080i | ||||
\(238\) | 18.7301 | − | 1.96078i | 1.21409 | − | 0.127098i | ||||
\(239\) | −5.40535 | + | 2.60308i | −0.349643 | + | 0.168379i | −0.600459 | − | 0.799656i | \(-0.705015\pi\) |
0.250816 | + | 0.968035i | \(0.419301\pi\) | |||||||
\(240\) | 4.04455 | + | 4.90677i | 0.261075 | + | 0.316731i | ||||
\(241\) | 1.52762 | + | 6.69293i | 0.0984025 | + | 0.431130i | 0.999999 | − | 0.00144850i | \(-0.000461071\pi\) |
−0.901596 | + | 0.432578i | \(0.857604\pi\) | |||||||
\(242\) | −6.27972 | + | 13.0400i | −0.403676 | + | 0.838241i | ||||
\(243\) | 10.3265 | + | 8.23509i | 0.662443 | + | 0.528281i | ||||
\(244\) | 4.26973 | 0.273341 | ||||||||
\(245\) | 14.1050 | + | 6.78591i | 0.901136 | + | 0.433536i | ||||
\(246\) | 14.9688 | 0.954376 | ||||||||
\(247\) | −24.2797 | − | 19.3624i | −1.54488 | − | 1.23200i | ||||
\(248\) | −0.278427 | + | 0.578159i | −0.0176801 | + | 0.0367131i | ||||
\(249\) | −4.12033 | − | 18.0524i | −0.261115 | − | 1.14402i | ||||
\(250\) | 1.95628 | − | 11.0079i | 0.123726 | − | 0.696198i | ||||
\(251\) | −6.23578 | + | 3.00299i | −0.393599 | + | 0.189547i | −0.620206 | − | 0.784439i | \(-0.712951\pi\) |
0.226607 | + | 0.973986i | \(0.427237\pi\) | |||||||
\(252\) | 4.34476 | + | 12.7383i | 0.273694 | + | 0.802436i | ||||
\(253\) | 0.962345 | − | 1.99833i | 0.0605021 | − | 0.125634i | ||||
\(254\) | −10.2262 | − | 12.8232i | −0.641648 | − | 0.804601i | ||||
\(255\) | −0.732000 | − | 45.2562i | −0.0458396 | − | 2.83405i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −5.85758 | − | 1.33696i | −0.365386 | − | 0.0833970i | 0.0358860 | − | 0.999356i | \(-0.488575\pi\) |
−0.401272 | + | 0.915959i | \(0.631432\pi\) | |||||||
\(258\) | −1.76080 | − | 1.40419i | −0.109623 | − | 0.0874212i | ||||
\(259\) | 19.7128 | − | 19.4040i | 1.22489 | − | 1.20570i | ||||
\(260\) | 2.44818 | + | 9.97938i | 0.151830 | + | 0.618895i | ||||
\(261\) | 4.05734 | − | 1.95391i | 0.251143 | − | 0.120944i | ||||
\(262\) | 12.8118 | + | 2.92420i | 0.791514 | + | 0.180658i | ||||
\(263\) | 6.78965i | 0.418668i | 0.977844 | + | 0.209334i | \(0.0671295\pi\) | ||||
−0.977844 | + | 0.209334i | \(0.932870\pi\) | |||||||
\(264\) | −14.3528 | −0.883351 | ||||||||
\(265\) | 5.49938 | − | 7.12956i | 0.337824 | − | 0.437965i | ||||
\(266\) | 16.9228 | − | 5.77203i | 1.03761 | − | 0.353906i | ||||
\(267\) | −30.1201 | + | 6.87472i | −1.84332 | + | 0.420726i | ||||
\(268\) | −0.789683 | + | 0.180240i | −0.0482376 | + | 0.0110099i | ||||
\(269\) | 0.227961 | + | 0.285854i | 0.0138990 | + | 0.0174288i | 0.788732 | − | 0.614737i | \(-0.210738\pi\) |
−0.774833 | + | 0.632165i | \(0.782166\pi\) | |||||||
\(270\) | 12.8885 | − | 3.16186i | 0.784369 | − | 0.192424i | ||||
\(271\) | −0.843966 | − | 3.69766i | −0.0512673 | − | 0.224617i | 0.942804 | − | 0.333348i | \(-0.108178\pi\) |
−0.994071 | + | 0.108731i | \(0.965321\pi\) | |||||||
\(272\) | −6.93952 | + | 1.58390i | −0.420770 | + | 0.0960381i | ||||
\(273\) | −4.14214 | + | 34.3251i | −0.250694 | + | 2.07745i | ||||
\(274\) | −3.57911 | + | 15.6811i | −0.216222 | + | 0.947331i | ||||
\(275\) | 16.3639 | + | 19.2108i | 0.986783 | + | 1.15845i | ||||
\(276\) | 1.24971 | 0.0752235 | ||||||||
\(277\) | 4.00983 | + | 0.915217i | 0.240927 | + | 0.0549901i | 0.341279 | − | 0.939962i | \(-0.389140\pi\) |
−0.100352 | + | 0.994952i | \(0.531997\pi\) | |||||||
\(278\) | 1.63808 | + | 3.40151i | 0.0982457 | + | 0.204009i | ||||
\(279\) | 2.03529 | + | 2.55217i | 0.121849 | + | 0.152794i | ||||
\(280\) | −5.60008 | − | 1.90766i | −0.334669 | − | 0.114004i | ||||
\(281\) | 10.3267 | − | 12.9492i | 0.616036 | − | 0.772485i | −0.371744 | − | 0.928335i | \(-0.621240\pi\) |
0.987781 | + | 0.155850i | \(0.0498116\pi\) | |||||||
\(282\) | −0.887074 | − | 0.202469i | −0.0528245 | − | 0.0120568i | ||||
\(283\) | −15.7072 | − | 12.5261i | −0.933695 | − | 0.744597i | 0.0332856 | − | 0.999446i | \(-0.489403\pi\) |
−0.966981 | + | 0.254849i | \(0.917974\pi\) | |||||||
\(284\) | −5.83065 | + | 2.80789i | −0.345985 | + | 0.166618i | ||||
\(285\) | −10.2388 | − | 41.7358i | −0.606493 | − | 2.47222i | ||||
\(286\) | −20.8959 | − | 10.0629i | −1.23560 | − | 0.595034i | ||||
\(287\) | −11.8501 | + | 7.31606i | −0.699487 | + | 0.431853i | ||||
\(288\) | −2.20715 | − | 4.58320i | −0.130058 | − | 0.270068i | ||||
\(289\) | 30.3318 | + | 14.6070i | 1.78422 | + | 0.859236i | ||||
\(290\) | −0.409214 | + | 1.93675i | −0.0240299 | + | 0.113730i | ||||
\(291\) | −2.42214 | − | 1.16644i | −0.141988 | − | 0.0683780i | ||||
\(292\) | 2.10274 | + | 1.67688i | 0.123054 | + | 0.0981321i | ||||
\(293\) | 3.19907i | 0.186892i | 0.995624 | + | 0.0934458i | \(0.0297882\pi\) | ||||
−0.995624 | + | 0.0934458i | \(0.970212\pi\) | |||||||
\(294\) | −15.3655 | − | 12.6555i | −0.896135 | − | 0.738085i | ||||
\(295\) | 4.32886 | − | 9.37382i | 0.252036 | − | 0.545765i | ||||
\(296\) | −6.51841 | + | 8.17382i | −0.378875 | + | 0.475094i | ||||
\(297\) | −12.9964 | + | 26.9874i | −0.754129 | + | 1.56596i | ||||
\(298\) | 8.40012 | − | 1.91727i | 0.486606 | − | 0.111065i | ||||
\(299\) | 1.81942 | + | 0.876188i | 0.105220 | + | 0.0506713i | ||||
\(300\) | −5.75177 | + | 13.0035i | −0.332079 | + | 0.750758i | ||||
\(301\) | 2.08024 | + | 0.251031i | 0.119903 | + | 0.0144692i | ||||
\(302\) | 3.01504 | − | 6.26080i | 0.173496 | − | 0.360269i | ||||
\(303\) | 11.5823 | − | 9.23655i | 0.665384 | − | 0.530626i | ||||
\(304\) | −6.08879 | + | 2.93221i | −0.349216 | + | 0.168174i | ||||
\(305\) | 4.28103 | + | 8.53379i | 0.245131 | + | 0.488643i | ||||
\(306\) | −8.05725 | + | 35.3011i | −0.460602 | + | 2.01803i | ||||
\(307\) | 11.3064 | + | 9.01656i | 0.645291 | + | 0.514602i | 0.890568 | − | 0.454851i | \(-0.150307\pi\) |
−0.245277 | + | 0.969453i | \(0.578879\pi\) | |||||||
\(308\) | 11.3624 | − | 7.01496i | 0.647431 | − | 0.399714i | ||||
\(309\) | 14.8920 | + | 18.6740i | 0.847177 | + | 1.06233i | ||||
\(310\) | −1.43472 | + | 0.0232059i | −0.0814863 | + | 0.00131801i | ||||
\(311\) | −1.22065 | + | 5.34802i | −0.0692167 | + | 0.303258i | −0.997673 | − | 0.0681840i | \(-0.978280\pi\) |
0.928456 | + | 0.371442i | \(0.121137\pi\) | |||||||
\(312\) | − | 13.0678i | − | 0.739817i | ||||||
\(313\) | − | 21.9119i | − | 1.23853i | −0.785181 | − | 0.619267i | \(-0.787430\pi\) | ||
0.785181 | − | 0.619267i | \(-0.212570\pi\) | |||||||
\(314\) | 0.980282 | − | 4.29490i | 0.0553205 | − | 0.242375i | ||||
\(315\) | −21.1034 | + | 21.4558i | −1.18904 | + | 1.20890i | ||||
\(316\) | −2.87570 | − | 12.5992i | −0.161771 | − | 0.708763i | ||||
\(317\) | 31.1548 | − | 7.11087i | 1.74983 | − | 0.399386i | 0.776738 | − | 0.629823i | \(-0.216873\pi\) |
0.973087 | + | 0.230437i | \(0.0740155\pi\) | |||||||
\(318\) | −8.95285 | + | 7.13966i | −0.502051 | + | 0.400372i | ||||
\(319\) | −2.78577 | − | 3.49324i | −0.155973 | − | 0.195584i | ||||
\(320\) | 2.18777 | + | 0.462251i | 0.122300 | + | 0.0258406i | ||||
\(321\) | 10.2049 | + | 44.7105i | 0.569580 | + | 2.49550i | ||||
\(322\) | −0.989331 | + | 0.610799i | −0.0551332 | + | 0.0340385i | ||||
\(323\) | 46.8977 | + | 10.7041i | 2.60946 | + | 0.595591i | ||||
\(324\) | −1.61632 | −0.0897957 | ||||||||
\(325\) | −17.4909 | + | 14.8989i | −0.970218 | + | 0.826443i | ||||
\(326\) | −0.956450 | + | 4.19048i | −0.0529728 | + | 0.232089i | ||||
\(327\) | −14.6819 | − | 30.4873i | −0.811912 | − | 1.68595i | ||||
\(328\) | 4.11536 | − | 3.28189i | 0.227232 | − | 0.181212i | ||||
\(329\) | 0.801210 | − | 0.273276i | 0.0441721 | − | 0.0150662i | ||||
\(330\) | −14.3908 | − | 28.6865i | −0.792185 | − | 1.57914i | ||||
\(331\) | 5.58444 | − | 24.4670i | 0.306949 | − | 1.34483i | −0.552459 | − | 0.833540i | \(-0.686311\pi\) |
0.859408 | − | 0.511290i | \(-0.170832\pi\) | |||||||
\(332\) | −5.09075 | − | 4.05974i | −0.279391 | − | 0.222807i | ||||
\(333\) | 23.0751 | + | 47.9160i | 1.26451 | + | 2.62578i | ||||
\(334\) | −10.0823 | − | 12.6429i | −0.551681 | − | 0.691787i | ||||
\(335\) | −1.15202 | − | 1.39760i | −0.0629413 | − | 0.0763591i | ||||
\(336\) | 6.33886 | + | 4.05311i | 0.345813 | + | 0.221115i | ||||
\(337\) | 6.09315 | + | 12.6526i | 0.331915 | + | 0.689229i | 0.998415 | − | 0.0562762i | \(-0.0179227\pi\) |
−0.666500 | + | 0.745505i | \(0.732208\pi\) | |||||||
\(338\) | 3.52153 | − | 7.31253i | 0.191546 | − | 0.397749i | ||||
\(339\) | −11.0121 | − | 48.2472i | −0.598096 | − | 2.62043i | ||||
\(340\) | −10.1236 | − | 12.2817i | −0.549029 | − | 0.666071i | ||||
\(341\) | 2.01934 | − | 2.53217i | 0.109353 | − | 0.137125i | ||||
\(342\) | 34.3780i | 1.85895i | ||||||||
\(343\) | 18.3495 | + | 2.50880i | 0.990782 | + | 0.135462i | ||||
\(344\) | −0.791962 | −0.0426998 | ||||||||
\(345\) | 1.25302 | + | 2.49776i | 0.0674601 | + | 0.134475i | ||||
\(346\) | 5.58710 | + | 2.69060i | 0.300364 | + | 0.144648i | ||||
\(347\) | 9.36779 | − | 2.13814i | 0.502889 | − | 0.114781i | 0.0364519 | − | 0.999335i | \(-0.488394\pi\) |
0.466437 | + | 0.884554i | \(0.345537\pi\) | |||||||
\(348\) | 1.09229 | − | 2.26817i | 0.0585531 | − | 0.121587i | ||||
\(349\) | 0.447708 | − | 0.215605i | 0.0239653 | − | 0.0115411i | −0.421863 | − | 0.906660i | \(-0.638624\pi\) |
0.445828 | + | 0.895119i | \(0.352909\pi\) | |||||||
\(350\) | −1.80212 | − | 13.1054i | −0.0963275 | − | 0.700515i | ||||
\(351\) | −24.5712 | − | 11.8329i | −1.31151 | − | 0.631592i | ||||
\(352\) | −3.94599 | + | 3.14682i | −0.210322 | + | 0.167726i | ||||
\(353\) | 1.53597 | + | 3.18947i | 0.0817513 | + | 0.169758i | 0.937837 | − | 0.347075i | \(-0.112825\pi\) |
−0.856086 | + | 0.516833i | \(0.827111\pi\) | |||||||
\(354\) | −8.18712 | + | 10.2663i | −0.435140 | + | 0.545649i | ||||
\(355\) | −11.4582 | − | 8.83824i | −0.608135 | − | 0.469085i | ||||
\(356\) | −6.77361 | + | 8.49384i | −0.359001 | + | 0.450173i | ||||
\(357\) | −17.2885 | − | 50.6876i | −0.915004 | − | 2.68267i | ||||
\(358\) | −14.4137 | + | 11.4945i | −0.761787 | + | 0.607505i | ||||
\(359\) | −3.25985 | + | 1.56986i | −0.172048 | + | 0.0828540i | −0.517926 | − | 0.855426i | \(-0.673296\pi\) |
0.345877 | + | 0.938280i | \(0.387581\pi\) | |||||||
\(360\) | 6.94732 | − | 9.00671i | 0.366156 | − | 0.474695i | ||||
\(361\) | 26.6712 | 1.40375 | ||||||||
\(362\) | 6.93669i | 0.364584i | ||||||||
\(363\) | 40.1266 | + | 9.15863i | 2.10610 | + | 0.480703i | ||||
\(364\) | 6.38692 | + | 10.3451i | 0.334766 | + | 0.542231i | ||||
\(365\) | −1.24323 | + | 5.88402i | −0.0650736 | + | 0.307984i | ||||
\(366\) | −2.70186 | − | 11.8376i | −0.141229 | − | 0.618763i | ||||
\(367\) | 8.47228 | − | 6.75642i | 0.442250 | − | 0.352682i | −0.376908 | − | 0.926251i | \(-0.623013\pi\) |
0.819158 | + | 0.573568i | \(0.194441\pi\) | |||||||
\(368\) | 0.343580 | − | 0.273996i | 0.0179104 | − | 0.0142830i | ||||
\(369\) | −5.95832 | − | 26.1051i | −0.310178 | − | 1.35898i | ||||
\(370\) | −22.8725 | − | 4.83270i | −1.18908 | − | 0.251240i | ||||
\(371\) | 3.59799 | − | 10.0278i | 0.186798 | − | 0.520620i | ||||
\(372\) | 1.77911 | + | 0.406070i | 0.0922426 | + | 0.0210538i | ||||
\(373\) | 27.2348i | 1.41016i | 0.709126 | + | 0.705082i | \(0.249090\pi\) | ||||
−0.709126 | + | 0.705082i | \(0.750910\pi\) | |||||||
\(374\) | 35.9252 | 1.85765 | ||||||||
\(375\) | −31.7568 | + | 1.54203i | −1.63991 | + | 0.0796302i | ||||
\(376\) | −0.288273 | + | 0.138825i | −0.0148666 | + | 0.00715935i | ||||
\(377\) | 3.18050 | − | 2.53636i | 0.163804 | − | 0.130629i | ||||
\(378\) | 13.3609 | − | 8.24880i | 0.687208 | − | 0.424273i | ||||
\(379\) | −12.7718 | + | 16.0153i | −0.656042 | + | 0.822651i | −0.992906 | − | 0.118903i | \(-0.962062\pi\) |
0.336864 | + | 0.941553i | \(0.390634\pi\) | |||||||
\(380\) | −11.9654 | − | 9.22954i | −0.613814 | − | 0.473465i | ||||
\(381\) | −29.0808 | + | 36.4662i | −1.48985 | + | 1.86822i | ||||
\(382\) | 7.79076 | + | 16.1777i | 0.398610 | + | 0.827722i | ||||
\(383\) | −0.0263298 | + | 0.0209973i | −0.00134539 | + | 0.00107291i | −0.624162 | − | 0.781295i | \(-0.714560\pi\) |
0.622817 | + | 0.782368i | \(0.285988\pi\) | |||||||
\(384\) | −2.56214 | − | 1.23386i | −0.130749 | − | 0.0629652i | ||||
\(385\) | 25.4131 | + | 15.6761i | 1.29517 | + | 0.798929i | ||||
\(386\) | −13.7770 | + | 6.63466i | −0.701232 | + | 0.337695i | ||||
\(387\) | −1.74798 | + | 3.62972i | −0.0888549 | + | 0.184509i | ||||
\(388\) | −0.921656 | + | 0.210362i | −0.0467900 | + | 0.0106795i | ||||
\(389\) | −11.9009 | − | 5.73117i | −0.603399 | − | 0.290582i | 0.107135 | − | 0.994244i | \(-0.465832\pi\) |
−0.710534 | + | 0.703663i | \(0.751547\pi\) | |||||||
\(390\) | 26.1182 | − | 13.1024i | 1.32255 | − | 0.663465i | ||||
\(391\) | −3.12804 | −0.158192 | ||||||||
\(392\) | −6.99913 | − | 0.110504i | −0.353509 | − | 0.00558129i | ||||
\(393\) | − | 37.3706i | − | 1.88509i | ||||||
\(394\) | 6.88226 | − | 8.63008i | 0.346723 | − | 0.434777i | ||||
\(395\) | 22.2985 | − | 18.3802i | 1.12196 | − | 0.924808i | ||||
\(396\) | 5.71310 | + | 25.0307i | 0.287094 | + | 1.25784i | ||||
\(397\) | 9.33961 | − | 19.3939i | 0.468742 | − | 0.973352i | −0.523845 | − | 0.851814i | \(-0.675503\pi\) |
0.992587 | − | 0.121539i | \(-0.0387828\pi\) | |||||||
\(398\) | −2.29253 | − | 4.76048i | −0.114914 | − | 0.238622i | ||||
\(399\) | −26.7114 | − | 43.2654i | −1.33724 | − | 2.16598i | ||||
\(400\) | 1.26967 | + | 4.83611i | 0.0634836 | + | 0.241805i | ||||
\(401\) | −0.265395 | − | 0.332795i | −0.0132532 | − | 0.0166190i | 0.775161 | − | 0.631764i | \(-0.217669\pi\) |
−0.788414 | + | 0.615145i | \(0.789097\pi\) | |||||||
\(402\) | 0.999416 | + | 2.07531i | 0.0498464 | + | 0.103507i | ||||
\(403\) | 2.30547 | + | 1.83855i | 0.114844 | + | 0.0915848i | ||||
\(404\) | 1.15920 | − | 5.07879i | 0.0576724 | − | 0.252679i | ||||
\(405\) | −1.62060 | − | 3.23050i | −0.0805284 | − | 0.160525i | ||||
\(406\) | 0.243862 | + | 2.32946i | 0.0121027 | + | 0.115609i | ||||
\(407\) | 41.2542 | − | 32.8991i | 2.04489 | − | 1.63075i | ||||
\(408\) | 8.78260 | + | 18.2373i | 0.434804 | + | 0.902879i | ||||
\(409\) | 6.45021 | − | 28.2602i | 0.318942 | − | 1.39738i | −0.520469 | − | 0.853881i | \(-0.674243\pi\) |
0.839411 | − | 0.543497i | \(-0.182900\pi\) | |||||||
\(410\) | 10.6857 | + | 4.93468i | 0.527728 | + | 0.243706i | ||||
\(411\) | 45.7401 | 2.25619 | ||||||||
\(412\) | 8.18849 | + | 1.86897i | 0.403418 | + | 0.0920775i | ||||
\(413\) | 1.46363 | − | 12.1288i | 0.0720206 | − | 0.596820i | ||||
\(414\) | −0.497445 | − | 2.17945i | −0.0244481 | − | 0.107114i | ||||
\(415\) | 3.00986 | − | 14.2452i | 0.147748 | − | 0.699271i | ||||
\(416\) | −2.86509 | − | 3.59271i | −0.140473 | − | 0.176147i | ||||
\(417\) | 8.39399 | − | 6.69398i | 0.411055 | − | 0.327806i | ||||
\(418\) | 33.2534 | − | 7.58988i | 1.62648 | − | 0.371233i | ||||
\(419\) | 6.00820 | + | 26.3236i | 0.293520 | + | 1.28599i | 0.879589 | + | 0.475734i | \(0.157817\pi\) |
−0.586070 | + | 0.810261i | \(0.699326\pi\) | |||||||
\(420\) | −1.74520 | + | 16.7331i | −0.0851568 | + | 0.816494i | ||||
\(421\) | −4.77127 | + | 20.9043i | −0.232537 | + | 1.01881i | 0.714989 | + | 0.699136i | \(0.246432\pi\) |
−0.947527 | + | 0.319677i | \(0.896426\pi\) | |||||||
\(422\) | 3.99252i | 0.194353i | ||||||||
\(423\) | 1.62762i | 0.0791376i | ||||||||
\(424\) | −0.896037 | + | 3.92580i | −0.0435154 | + | 0.190653i | ||||
\(425\) | 14.3968 | − | 32.5480i | 0.698347 | − | 1.57881i | ||||
\(426\) | 11.4744 | + | 14.3884i | 0.555936 | + | 0.697121i | ||||
\(427\) | 7.92462 | + | 8.05073i | 0.383499 | + | 0.389602i | ||||
\(428\) | 12.6083 | + | 10.0548i | 0.609446 | + | 0.486017i | ||||
\(429\) | −14.6762 | + | 64.3008i | −0.708576 | + | 3.10447i | ||||
\(430\) | −0.794060 | − | 1.58287i | −0.0382930 | − | 0.0763330i | ||||
\(431\) | −5.23128 | + | 2.51925i | −0.251982 | + | 0.121348i | −0.555612 | − | 0.831442i | \(-0.687516\pi\) |
0.303629 | + | 0.952790i | \(0.401802\pi\) | |||||||
\(432\) | −4.64003 | + | 3.70030i | −0.223244 | + | 0.178031i | ||||
\(433\) | −14.8382 | + | 30.8119i | −0.713081 | + | 1.48073i | 0.156886 | + | 0.987617i | \(0.449854\pi\) |
−0.869967 | + | 0.493111i | \(0.835860\pi\) | |||||||
\(434\) | −1.60690 | + | 0.548081i | −0.0771337 | + | 0.0263087i | ||||
\(435\) | 5.62852 | − | 0.0910389i | 0.269867 | − | 0.00436498i | ||||
\(436\) | −10.7208 | − | 5.16286i | −0.513432 | − | 0.247256i | ||||
\(437\) | −2.89540 | + | 0.660857i | −0.138506 | + | 0.0316131i | ||||
\(438\) | 3.31848 | − | 6.89090i | 0.158563 | − | 0.329260i | ||||
\(439\) | −21.3210 | + | 26.7357i | −1.01760 | + | 1.27603i | −0.0569128 | + | 0.998379i | \(0.518126\pi\) |
−0.960683 | + | 0.277646i | \(0.910446\pi\) | |||||||
\(440\) | −10.2459 | − | 4.73159i | −0.488454 | − | 0.225570i | ||||
\(441\) | −15.9546 | + | 31.8345i | −0.759743 | + | 1.51593i | ||||
\(442\) | 32.7089i | 1.55580i | ||||||||
\(443\) | 9.39342 | + | 7.49100i | 0.446295 | + | 0.355908i | 0.820702 | − | 0.571356i | \(-0.193582\pi\) |
−0.374408 | + | 0.927264i | \(0.622154\pi\) | |||||||
\(444\) | 26.7864 | + | 12.8997i | 1.27123 | + | 0.612191i | ||||
\(445\) | −23.7680 | − | 5.02191i | −1.12671 | − | 0.238061i | ||||
\(446\) | 24.1165 | + | 11.6139i | 1.14195 | + | 0.549933i | ||||
\(447\) | −10.6311 | − | 22.0758i | −0.502835 | − | 1.04415i | ||||
\(448\) | 2.63137 | − | 0.275468i | 0.124321 | − | 0.0130147i | ||||
\(449\) | −18.7106 | − | 9.01054i | −0.883007 | − | 0.425234i | −0.0632849 | − | 0.997995i | \(-0.520158\pi\) |
−0.819722 | + | 0.572762i | \(0.805872\pi\) | |||||||
\(450\) | 24.9672 | + | 4.85487i | 1.17696 | + | 0.228861i | ||||
\(451\) | −23.9357 | + | 11.5268i | −1.12709 | + | 0.542777i | ||||
\(452\) | −13.6057 | − | 10.8502i | −0.639957 | − | 0.510349i | ||||
\(453\) | −19.2657 | − | 4.39728i | −0.905183 | − | 0.206602i | ||||
\(454\) | 15.3024 | − | 19.1886i | 0.718179 | − | 0.900568i | ||||
\(455\) | −14.2727 | + | 23.1379i | −0.669113 | + | 1.08472i | ||||
\(456\) | 11.9824 | + | 15.0254i | 0.561127 | + | 0.703631i | ||||
\(457\) | 12.8674 | + | 26.7195i | 0.601914 | + | 1.24989i | 0.949949 | + | 0.312405i | \(0.101135\pi\) |
−0.348036 | + | 0.937481i | \(0.613151\pi\) | |||||||
\(458\) | 0.725735 | + | 0.165644i | 0.0339114 | + | 0.00774005i | ||||
\(459\) | 42.2440 | 1.97178 | ||||||||
\(460\) | 0.892119 | + | 0.411983i | 0.0415953 | + | 0.0192088i | ||||
\(461\) | 6.79182 | − | 29.7569i | 0.316326 | − | 1.38592i | −0.527616 | − | 0.849483i | \(-0.676914\pi\) |
0.843942 | − | 0.536434i | \(-0.180229\pi\) | |||||||
\(462\) | −26.6388 | − | 27.0627i | −1.23935 | − | 1.25907i | ||||
\(463\) | −15.0760 | + | 3.44099i | −0.700640 | + | 0.159917i | −0.557979 | − | 0.829855i | \(-0.688423\pi\) |
−0.142661 | + | 0.989772i | \(0.545566\pi\) | |||||||
\(464\) | −0.196990 | − | 0.863069i | −0.00914503 | − | 0.0400670i | ||||
\(465\) | 0.972219 | + | 3.96301i | 0.0450856 | + | 0.183780i | ||||
\(466\) | 18.8165 | + | 23.5951i | 0.871656 | + | 1.09302i | ||||
\(467\) | −33.2082 | + | 7.57956i | −1.53669 | + | 0.350740i | −0.905317 | − | 0.424737i | \(-0.860367\pi\) |
−0.631376 | + | 0.775477i | \(0.717509\pi\) | |||||||
\(468\) | −22.7898 | + | 5.20162i | −1.05346 | + | 0.240445i | ||||
\(469\) | −1.80550 | − | 1.15445i | −0.0833704 | − | 0.0533076i | ||||
\(470\) | −0.566502 | − | 0.436971i | −0.0261308 | − | 0.0201560i | ||||
\(471\) | −12.5277 | −0.577248 | ||||||||
\(472\) | 4.61752i | 0.212539i | ||||||||
\(473\) | 3.89690 | + | 0.889442i | 0.179180 | + | 0.0408966i | ||||
\(474\) | −33.1112 | + | 15.9455i | −1.52085 | + | 0.732401i | ||||
\(475\) | 6.44970 | − | 33.1690i | 0.295933 | − | 1.52190i | ||||
\(476\) | −15.8663 | − | 10.1450i | −0.727230 | − | 0.464996i | ||||
\(477\) | 16.0150 | + | 12.7715i | 0.733277 | + | 0.584769i | ||||
\(478\) | 5.84907 | + | 1.33501i | 0.267530 | + | 0.0610620i | ||||
\(479\) | −22.1086 | + | 27.7233i | −1.01017 | + | 1.26671i | −0.0466907 | + | 0.998909i | \(0.514868\pi\) |
−0.963475 | + | 0.267798i | \(0.913704\pi\) | |||||||
\(480\) | −0.102838 | − | 6.35801i | −0.00469389 | − | 0.290202i | ||||
\(481\) | 29.9537 | + | 37.5607i | 1.36577 | + | 1.71262i | ||||
\(482\) | 2.97864 | − | 6.18520i | 0.135673 | − | 0.281728i | ||||
\(483\) | 2.31946 | + | 2.35637i | 0.105539 | + | 0.107218i | ||||
\(484\) | 13.0400 | − | 6.27972i | 0.592726 | − | 0.285442i | ||||
\(485\) | −1.34454 | − | 1.63117i | −0.0610525 | − | 0.0740677i | ||||
\(486\) | −2.93907 | − | 12.8769i | −0.133319 | − | 0.584108i | ||||
\(487\) | 3.93745 | − | 8.17620i | 0.178423 | − | 0.370499i | −0.792507 | − | 0.609863i | \(-0.791225\pi\) |
0.970930 | + | 0.239364i | \(0.0769388\pi\) | |||||||
\(488\) | −3.33821 | − | 2.66213i | −0.151113 | − | 0.120509i | ||||
\(489\) | 12.2232 | 0.552751 | ||||||||
\(490\) | −6.79680 | − | 14.0998i | −0.307048 | − | 0.636963i | ||||
\(491\) | −22.1037 | −0.997527 | −0.498764 | − | 0.866738i | \(-0.666212\pi\) | ||||
−0.498764 | + | 0.866738i | \(0.666212\pi\) | |||||||
\(492\) | −11.7031 | − | 9.33289i | −0.527616 | − | 0.420759i | ||||
\(493\) | −2.73403 | + | 5.67728i | −0.123135 | + | 0.255692i | ||||
\(494\) | 6.91037 | + | 30.2763i | 0.310912 | + | 1.36220i | ||||
\(495\) | −44.3001 | + | 36.5157i | −1.99114 | + | 1.64126i | ||||
\(496\) | 0.578159 | − | 0.278427i | 0.0259601 | − | 0.0125017i | ||||
\(497\) | −16.1161 | − | 5.78245i | −0.722905 | − | 0.259378i | ||||
\(498\) | −8.03405 | + | 16.6829i | −0.360015 | + | 0.747578i | ||||
\(499\) | −5.31664 | − | 6.66685i | −0.238005 | − | 0.298449i | 0.648456 | − | 0.761252i | \(-0.275415\pi\) |
−0.886461 | + | 0.462803i | \(0.846844\pi\) | |||||||
\(500\) | −8.39277 | + | 7.38657i | −0.375336 | + | 0.330338i | ||||
\(501\) | −28.6718 | + | 35.9532i | −1.28096 | + | 1.60627i | ||||
\(502\) | 6.74766 | + | 1.54011i | 0.301163 | + | 0.0687385i | ||||
\(503\) | −25.9603 | − | 20.7027i | −1.15751 | − | 0.923086i | −0.159569 | − | 0.987187i | \(-0.551011\pi\) |
−0.997943 | + | 0.0641011i | \(0.979582\pi\) | |||||||
\(504\) | 4.54531 | − | 12.6681i | 0.202464 | − | 0.564282i | ||||
\(505\) | 11.3131 | − | 2.77537i | 0.503427 | − | 0.123503i | ||||
\(506\) | −1.99833 | + | 0.962345i | −0.0888366 | + | 0.0427815i | ||||
\(507\) | −22.5021 | − | 5.13596i | −0.999354 | − | 0.228096i | ||||
\(508\) | 16.4015i | 0.727700i | ||||||||
\(509\) | 35.9329 | 1.59270 | 0.796350 | − | 0.604836i | \(-0.206761\pi\) | ||||
0.796350 | + | 0.604836i | \(0.206761\pi\) | |||||||
\(510\) | −27.6445 | + | 35.8391i | −1.22412 | + | 1.58698i | ||||
\(511\) | 0.740875 | + | 7.07710i | 0.0327744 | + | 0.313073i | ||||
\(512\) | −0.974928 | + | 0.222521i | −0.0430861 | + | 0.00983413i | ||||
\(513\) | 39.1023 | − | 8.92484i | 1.72641 | − | 0.394041i | ||||
\(514\) | 3.74607 | + | 4.69742i | 0.165232 | + | 0.207194i | ||||
\(515\) | 4.47472 | + | 18.2400i | 0.197180 | + | 0.803752i | ||||
\(516\) | 0.501151 | + | 2.19568i | 0.0220619 | + | 0.0966596i | ||||
\(517\) | 1.57438 | − | 0.359342i | 0.0692411 | − | 0.0158038i | ||||
\(518\) | −27.5102 | + | 2.87994i | −1.20873 | + | 0.126537i | ||||
\(519\) | 3.92410 | − | 17.1926i | 0.172249 | − | 0.754671i | ||||
\(520\) | 4.30798 | − | 9.32860i | 0.188917 | − | 0.409086i | ||||
\(521\) | 25.8458 | 1.13233 | 0.566164 | − | 0.824293i | \(-0.308427\pi\) | ||||
0.566164 | + | 0.824293i | \(0.308427\pi\) | |||||||
\(522\) | −4.39040 | − | 1.00208i | −0.192163 | − | 0.0438599i | ||||
\(523\) | 7.54134 | + | 15.6597i | 0.329760 | + | 0.684753i | 0.998260 | − | 0.0589584i | \(-0.0187779\pi\) |
−0.668501 | + | 0.743711i | \(0.733064\pi\) | |||||||
\(524\) | −8.19344 | − | 10.2742i | −0.357932 | − | 0.448832i | ||||
\(525\) | −35.1939 | + | 13.2894i | −1.53599 | + | 0.579996i | ||||
\(526\) | 4.23328 | − | 5.30836i | 0.184580 | − | 0.231456i | ||||
\(527\) | −4.45315 | − | 1.01640i | −0.193982 | − | 0.0442752i | ||||
\(528\) | 11.2214 | + | 8.94879i | 0.488350 | + | 0.389446i | ||||
\(529\) | −20.5483 | + | 9.89553i | −0.893404 | + | 0.430241i | ||||
\(530\) | −8.74479 | + | 2.14531i | −0.379850 | + | 0.0931861i | ||||
\(531\) | 21.1630 | + | 10.1916i | 0.918396 | + | 0.442276i | ||||
\(532\) | −16.8296 | − | 6.03846i | −0.729656 | − | 0.261800i | ||||
\(533\) | −10.4949 | − | 21.7928i | −0.454583 | − | 0.943951i | ||||
\(534\) | 27.8352 | + | 13.4047i | 1.20454 | + | 0.580078i | ||||
\(535\) | −7.45455 | + | 35.2813i | −0.322288 | + | 1.52535i | ||||
\(536\) | 0.729777 | + | 0.351442i | 0.0315216 | + | 0.0151800i | ||||
\(537\) | 40.9891 | + | 32.6877i | 1.76881 | + | 1.41058i | ||||
\(538\) | − | 0.365620i | − | 0.0157630i | ||||||
\(539\) | 34.3156 | + | 8.40437i | 1.47808 | + | 0.362002i | ||||
\(540\) | −12.0480 | − | 5.56381i | −0.518464 | − | 0.239428i | ||||
\(541\) | 15.8908 | − | 19.9264i | 0.683197 | − | 0.856702i | −0.312447 | − | 0.949935i | \(-0.601149\pi\) |
0.995644 | + | 0.0932330i | \(0.0297201\pi\) | |||||||
\(542\) | −1.64561 | + | 3.41715i | −0.0706851 | + | 0.146779i | ||||
\(543\) | 19.2317 | − | 4.38951i | 0.825311 | − | 0.188372i | ||||
\(544\) | 6.41308 | + | 3.08838i | 0.274959 | + | 0.132413i | ||||
\(545\) | −0.430306 | − | 26.6039i | −0.0184323 | − | 1.13958i | ||||
\(546\) | 24.6398 | − | 24.2538i | 1.05449 | − | 1.03797i | ||||
\(547\) | −2.79167 | + | 5.79696i | −0.119363 | + | 0.247860i | −0.952086 | − | 0.305830i | \(-0.901066\pi\) |
0.832723 | + | 0.553689i | \(0.186781\pi\) | |||||||
\(548\) | 12.5753 | − | 10.0285i | 0.537190 | − | 0.428394i | ||||
\(549\) | −19.5690 | + | 9.42393i | −0.835184 | + | 0.402204i | ||||
\(550\) | −0.816134 | − | 25.2223i | −0.0348001 | − | 1.07548i | ||||
\(551\) | −1.33127 | + | 5.83266i | −0.0567139 | + | 0.248480i | ||||
\(552\) | −0.977060 | − | 0.779179i | −0.0415864 | − | 0.0331641i | ||||
\(553\) | 18.4191 | − | 28.8065i | 0.783258 | − | 1.22498i | ||||
\(554\) | −2.56438 | − | 3.21563i | −0.108950 | − | 0.136619i | ||||
\(555\) | 1.07514 | + | 66.4711i | 0.0456372 | + | 2.82154i | ||||
\(556\) | 0.840104 | − | 3.68074i | 0.0356284 | − | 0.156098i | ||||
\(557\) | − | 22.5672i | − | 0.956202i | −0.878305 | − | 0.478101i | \(-0.841325\pi\) | ||
0.878305 | − | 0.478101i | \(-0.158675\pi\) | |||||||
\(558\) | − | 3.26435i | − | 0.138191i | ||||||
\(559\) | −0.809812 | + | 3.54802i | −0.0342514 | + | 0.150065i | ||||
\(560\) | 3.18891 | + | 4.98306i | 0.134756 | + | 0.210573i | ||||
\(561\) | −22.7333 | − | 99.6013i | −0.959802 | − | 4.20517i | ||||
\(562\) | −16.1474 | + | 3.68554i | −0.681137 | + | 0.155465i | ||||
\(563\) | −6.49342 | + | 5.17833i | −0.273665 | + | 0.218241i | −0.750699 | − | 0.660644i | \(-0.770283\pi\) |
0.477034 | + | 0.878885i | \(0.341712\pi\) | |||||||
\(564\) | 0.567305 | + | 0.711378i | 0.0238878 | + | 0.0299544i | ||||
\(565\) | 8.04423 | − | 38.0722i | 0.338423 | − | 1.60171i | ||||
\(566\) | 4.47050 | + | 19.5865i | 0.187909 | + | 0.823284i | ||||
\(567\) | −2.99990 | − | 3.04764i | −0.125984 | − | 0.127989i | ||||
\(568\) | 6.30928 | + | 1.44005i | 0.264731 | + | 0.0604232i | ||||
\(569\) | −7.20738 | −0.302149 | −0.151075 | − | 0.988522i | \(-0.548273\pi\) | ||||
−0.151075 | + | 0.988522i | \(0.548273\pi\) | |||||||
\(570\) | −18.0168 | + | 39.0141i | −0.754642 | + | 1.63412i | ||||
\(571\) | −7.18871 | + | 31.4958i | −0.300838 | + | 1.31806i | 0.568028 | + | 0.823009i | \(0.307707\pi\) |
−0.868866 | + | 0.495048i | \(0.835151\pi\) | |||||||
\(572\) | 10.0629 | + | 20.8959i | 0.420752 | + | 0.873701i | ||||
\(573\) | 39.9220 | − | 31.8367i | 1.66777 | − | 1.33000i | ||||
\(574\) | 13.8262 | + | 1.66847i | 0.577096 | + | 0.0696404i | ||||
\(575\) | 0.0710615 | + | 2.19613i | 0.00296347 | + | 0.0915849i | ||||
\(576\) | −1.13196 | + | 4.95942i | −0.0471648 | + | 0.206643i | ||||
\(577\) | 1.83961 | + | 1.46704i | 0.0765839 | + | 0.0610736i | 0.661034 | − | 0.750356i | \(-0.270118\pi\) |
−0.584450 | + | 0.811430i | \(0.698690\pi\) | |||||||
\(578\) | −14.6070 | − | 30.3318i | −0.607572 | − | 1.26164i | ||||
\(579\) | 27.1124 | + | 33.9979i | 1.12675 | + | 1.41290i | ||||
\(580\) | 1.52748 | − | 1.25907i | 0.0634252 | − | 0.0522802i | ||||
\(581\) | −1.79366 | − | 17.1337i | −0.0744136 | − | 0.710825i | ||||
\(582\) | 1.16644 | + | 2.42214i | 0.0483505 | + | 0.100401i | ||||
\(583\) | 8.81802 | − | 18.3108i | 0.365205 | − | 0.758356i | ||||
\(584\) | −0.598473 | − | 2.62208i | −0.0247650 | − | 0.108502i | ||||
\(585\) | −33.2465 | − | 40.3339i | −1.37457 | − | 1.66760i | ||||
\(586\) | 1.99459 | − | 2.50113i | 0.0823956 | − | 0.103321i | ||||
\(587\) | 29.7710i | 1.22878i | 0.789003 | + | 0.614390i | \(0.210598\pi\) | ||||
−0.789003 | + | 0.614390i | \(0.789402\pi\) | |||||||
\(588\) | 4.12265 | + | 19.4747i | 0.170015 | + | 0.803124i | ||||
\(589\) | −4.33670 | −0.178690 | ||||||||
\(590\) | −9.22892 | + | 4.62975i | −0.379948 | + | 0.190604i | ||||
\(591\) | −28.2816 | − | 13.6197i | −1.16335 | − | 0.560240i | ||||
\(592\) | 10.1926 | − | 2.32639i | 0.418913 | − | 0.0956141i | ||||
\(593\) | 1.40802 | − | 2.92378i | 0.0578204 | − | 0.120065i | −0.870056 | − | 0.492952i | \(-0.835918\pi\) |
0.927877 | + | 0.372887i | \(0.121632\pi\) | |||||||
\(594\) | 26.9874 | − | 12.9964i | 1.10730 | − | 0.533250i | ||||
\(595\) | 4.36826 | − | 41.8834i | 0.179081 | − | 1.71705i | ||||
\(596\) | −7.76288 | − | 3.73840i | −0.317980 | − | 0.153131i | ||||
\(597\) | −11.7476 | + | 9.36836i | −0.480795 | + | 0.383421i | ||||
\(598\) | −0.876188 | − | 1.81942i | −0.0358300 | − | 0.0744018i | ||||
\(599\) | 8.07374 | − | 10.1241i | 0.329884 | − | 0.413661i | −0.589035 | − | 0.808107i | \(-0.700492\pi\) |
0.918919 | + | 0.394446i | \(0.129063\pi\) | |||||||
\(600\) | 12.6045 | − | 6.58038i | 0.514575 | − | 0.268643i | ||||
\(601\) | 10.5027 | − | 13.1700i | 0.428415 | − | 0.537215i | −0.520034 | − | 0.854145i | \(-0.674081\pi\) |
0.948449 | + | 0.316931i | \(0.102652\pi\) | |||||||
\(602\) | −1.46988 | − | 1.49327i | −0.0599080 | − | 0.0608613i | ||||
\(603\) | 3.22146 | − | 2.56903i | 0.131188 | − | 0.104619i | ||||
\(604\) | −6.26080 | + | 3.01504i | −0.254749 | + | 0.122680i | ||||
\(605\) | 25.6256 | + | 19.7663i | 1.04183 | + | 0.803614i | ||||
\(606\) | −14.8143 | −0.601789 | ||||||||
\(607\) | − | 1.70092i | − | 0.0690384i | −0.999404 | − | 0.0345192i | \(-0.989010\pi\) | ||
0.999404 | − | 0.0345192i | \(-0.0109900\pi\) | |||||||
\(608\) | 6.58861 | + | 1.50381i | 0.267204 | + | 0.0609875i | ||||
\(609\) | 6.30402 | − | 2.15017i | 0.255452 | − | 0.0871293i | ||||
\(610\) | 1.97368 | − | 9.34116i | 0.0799121 | − | 0.378213i | ||||
\(611\) | 0.327171 | + | 1.43343i | 0.0132359 | + | 0.0579903i | ||||
\(612\) | 28.3093 | − | 22.5759i | 1.14434 | − | 0.912577i | ||||
\(613\) | 8.96929 | − | 7.15277i | 0.362266 | − | 0.288898i | −0.425393 | − | 0.905009i | \(-0.639864\pi\) |
0.787659 | + | 0.616111i | \(0.211293\pi\) | |||||||
\(614\) | −3.21797 | − | 14.0989i | −0.129867 | − | 0.568984i | ||||
\(615\) | 6.91934 | − | 32.7482i | 0.279015 | − | 1.32054i | ||||
\(616\) | −13.2572 | − | 1.59980i | −0.534148 | − | 0.0644577i | ||||
\(617\) | −36.0261 | − | 8.22272i | −1.45036 | − | 0.331034i | −0.576451 | − | 0.817132i | \(-0.695563\pi\) |
−0.873904 | + | 0.486098i | \(0.838420\pi\) | |||||||
\(618\) | − | 23.8849i | − | 0.960793i | ||||||
\(619\) | −2.05805 | −0.0827199 | −0.0413600 | − | 0.999144i | \(-0.513169\pi\) | ||||
−0.0413600 | + | 0.999144i | \(0.513169\pi\) | |||||||
\(620\) | 1.13617 | + | 0.876387i | 0.0456299 | + | 0.0351966i | ||||
\(621\) | −2.34981 | + | 1.13161i | −0.0942947 | + | 0.0454099i | ||||
\(622\) | 4.28878 | − | 3.42019i | 0.171964 | − | 0.137137i | ||||
\(623\) | −28.5873 | + | 2.99270i | −1.14533 | + | 0.119900i | ||||
\(624\) | −8.14763 | + | 10.2168i | −0.326166 | + | 0.408999i | ||||
\(625\) | −23.1783 | − | 9.36827i | −0.927134 | − | 0.374731i | ||||
\(626\) | −13.6618 | + | 17.1314i | −0.546037 | + | 0.684709i | ||||
\(627\) | −42.0853 | − | 87.3909i | −1.68072 | − | 3.49006i | ||||
\(628\) | −3.44424 | + | 2.74669i | −0.137440 | + | 0.109605i | ||||
\(629\) | −67.0470 | − | 32.2881i | −2.67334 | − | 1.28741i | ||||
\(630\) | 29.8767 | − | 3.61705i | 1.19032 | − | 0.144107i | ||||
\(631\) | −12.3041 | + | 5.92533i | −0.489817 | + | 0.235884i | −0.662455 | − | 0.749102i | \(-0.730485\pi\) |
0.172638 | + | 0.984985i | \(0.444771\pi\) | |||||||
\(632\) | −5.60719 | + | 11.6435i | −0.223042 | + | 0.463152i | ||||
\(633\) | 11.0691 | − | 2.52645i | 0.439958 | − | 0.100417i | ||||
\(634\) | −28.7913 | − | 13.8652i | −1.14345 | − | 0.550656i | ||||
\(635\) | −32.7813 | + | 16.4450i | −1.30089 | + | 0.652598i | ||||
\(636\) | 11.4511 | 0.454066 | ||||||||
\(637\) | −7.65194 | + | 31.2433i | −0.303181 | + | 1.23791i | ||||
\(638\) | 4.46802i | 0.176891i | ||||||||
\(639\) | 20.5256 | − | 25.7383i | 0.811979 | − | 1.01819i | ||||
\(640\) | −1.42226 | − | 1.72545i | −0.0562196 | − | 0.0682045i | ||||
\(641\) | 0.803696 | + | 3.52122i | 0.0317441 | + | 0.139080i | 0.988317 | − | 0.152414i | \(-0.0487048\pi\) |
−0.956573 | + | 0.291494i | \(0.905848\pi\) | |||||||
\(642\) | 19.8980 | − | 41.3187i | 0.785313 | − | 1.63072i | ||||
\(643\) | 18.7622 | + | 38.9601i | 0.739909 | + | 1.53644i | 0.840684 | + | 0.541527i | \(0.182153\pi\) |
−0.100775 | + | 0.994909i | \(0.532132\pi\) | |||||||
\(644\) | 1.15432 | + | 0.139296i | 0.0454864 | + | 0.00548903i | ||||
\(645\) | −3.88598 | + | 3.20314i | −0.153010 | + | 0.126123i | ||||
\(646\) | −29.9922 | − | 37.6090i | −1.18003 | − | 1.47971i | ||||
\(647\) | 10.2928 | + | 21.3731i | 0.404650 | + | 0.840265i | 0.999341 | + | 0.0363100i | \(0.0115604\pi\) |
−0.594690 | + | 0.803955i | \(0.702725\pi\) | |||||||
\(648\) | 1.26369 | + | 1.00776i | 0.0496425 | + | 0.0395886i | ||||
\(649\) | 5.18588 | − | 22.7208i | 0.203563 | − | 0.891870i | ||||
\(650\) | 22.9642 | − | 0.743067i | 0.900731 | − | 0.0291455i | ||||
\(651\) | 2.53637 | + | 4.10825i | 0.0994083 | + | 0.161015i | ||||
\(652\) | 3.36050 | − | 2.67991i | 0.131607 | − | 0.104953i | ||||
\(653\) | 15.5782 | + | 32.3485i | 0.609623 | + | 1.26589i | 0.946000 | + | 0.324167i | \(0.105084\pi\) |
−0.336377 | + | 0.941727i | \(0.609202\pi\) | |||||||
\(654\) | −7.52975 | + | 32.9900i | −0.294436 | + | 1.29001i | ||||
\(655\) | 12.3197 | − | 26.6775i | 0.481372 | − | 1.04237i | ||||
\(656\) | −5.26374 | −0.205514 | ||||||||
\(657\) | −13.3384 | − | 3.04441i | −0.520382 | − | 0.118774i | ||||
\(658\) | −0.796796 | − | 0.285890i | −0.0310623 | − | 0.0111452i | ||||
\(659\) | 3.32235 | + | 14.5562i | 0.129420 | + | 0.567027i | 0.997504 | + | 0.0706095i | \(0.0224944\pi\) |
−0.868084 | + | 0.496418i | \(0.834648\pi\) | |||||||
\(660\) | −6.63457 | + | 31.4005i | −0.258250 | + | 1.22226i | ||||
\(661\) | 22.7290 | + | 28.5012i | 0.884055 | + | 1.10857i | 0.993416 | + | 0.114567i | \(0.0365481\pi\) |
−0.109361 | + | 0.994002i | \(0.534880\pi\) | |||||||
\(662\) | −19.6210 | + | 15.6473i | −0.762593 | + | 0.608148i | ||||
\(663\) | 90.6841 | − | 20.6981i | 3.52188 | − | 0.803846i | ||||
\(664\) | 1.44890 | + | 6.34806i | 0.0562284 | + | 0.246353i | ||||
\(665\) | −4.80526 | − | 39.6913i | −0.186340 | − | 1.53916i | ||||
\(666\) | 11.8343 | − | 51.8494i | 0.458569 | − | 2.00912i | ||||
\(667\) | − | 0.389035i | − | 0.0150635i | ||||||
\(668\) | 16.1708i | 0.625668i | ||||||||
\(669\) | 16.9382 | − | 74.2112i | 0.654869 | − | 2.86917i | ||||
\(670\) | 0.0292915 | + | 1.81096i | 0.00113163 | + | 0.0699634i | ||||
\(671\) | 13.4361 | + | 16.8483i | 0.518693 | + | 0.650420i | ||||
\(672\) | −2.42885 | − | 7.12106i | −0.0936948 | − | 0.274701i | ||||
\(673\) | 20.9995 | + | 16.7465i | 0.809470 | + | 0.645531i | 0.938179 | − | 0.346152i | \(-0.112512\pi\) |
−0.128708 | + | 0.991682i | \(0.541083\pi\) | |||||||
\(674\) | 3.12492 | − | 13.6912i | 0.120368 | − | 0.527365i | ||||
\(675\) | −0.959682 | − | 29.6586i | −0.0369382 | − | 1.14156i | ||||
\(676\) | −7.31253 | + | 3.52153i | −0.281251 | + | 0.135443i | ||||
\(677\) | 12.5283 | − | 9.99101i | 0.481503 | − | 0.383986i | −0.352442 | − | 0.935834i | \(-0.614649\pi\) |
0.833945 | + | 0.551848i | \(0.186077\pi\) | |||||||
\(678\) | −21.4720 | + | 44.5871i | −0.824628 | + | 1.71236i | ||||
\(679\) | −2.10724 | − | 1.34738i | −0.0808685 | − | 0.0517079i | ||||
\(680\) | 0.257406 | + | 15.9142i | 0.00987106 | + | 0.610282i | ||||
\(681\) | −62.8831 | − | 30.2829i | −2.40968 | − | 1.16044i | ||||
\(682\) | −3.15757 | + | 0.720694i | −0.120909 | + | 0.0275968i | ||||
\(683\) | −5.87023 | + | 12.1897i | −0.224618 | + | 0.466424i | −0.982572 | − | 0.185884i | \(-0.940485\pi\) |
0.757954 | + | 0.652308i | \(0.226199\pi\) | |||||||
\(684\) | 21.4343 | − | 26.8778i | 0.819561 | − | 1.02770i | ||||
\(685\) | 32.6522 | + | 15.0789i | 1.24758 | + | 0.576134i | ||||
\(686\) | −12.7820 | − | 13.4022i | −0.488021 | − | 0.511699i | ||||
\(687\) | − | 2.11689i | − | 0.0807644i | ||||||
\(688\) | 0.619181 | + | 0.493781i | 0.0236061 | + | 0.0188252i | ||||
\(689\) | 16.6715 | + | 8.02856i | 0.635132 | + | 0.305864i | ||||
\(690\) | 0.577678 | − | 2.73407i | 0.0219918 | − | 0.104084i | ||||
\(691\) | −22.0558 | − | 10.6215i | −0.839042 | − | 0.404061i | −0.0355433 | − | 0.999368i | \(-0.511316\pi\) |
−0.803498 | + | 0.595307i | \(0.797030\pi\) | |||||||
\(692\) | −2.69060 | − | 5.58710i | −0.102281 | − | 0.212390i | ||||
\(693\) | −36.5929 | + | 57.2294i | −1.39005 | + | 2.17397i | ||||
\(694\) | −8.65714 | − | 4.16906i | −0.328621 | − | 0.158255i | ||||
\(695\) | 8.19892 | − | 2.01139i | 0.311003 | − | 0.0762964i | ||||
\(696\) | −2.26817 | + | 1.09229i | −0.0859748 | + | 0.0414033i | ||||
\(697\) | 29.2930 | + | 23.3604i | 1.10955 | + | 0.884839i | ||||
\(698\) | −0.484460 | − | 0.110575i | −0.0183371 | − | 0.00418532i | ||||
\(699\) | 53.5095 | − | 67.0988i | 2.02392 | − | 2.53791i | ||||
\(700\) | −6.76215 | + | 11.3698i | −0.255585 | + | 0.429740i | ||||
\(701\) | −2.66853 | − | 3.34623i | −0.100789 | − | 0.126385i | 0.728879 | − | 0.684643i | \(-0.240042\pi\) |
−0.829668 | + | 0.558257i | \(0.811470\pi\) | |||||||
\(702\) | 11.8329 | + | 24.5712i | 0.446603 | + | 0.927381i | ||||
\(703\) | −68.8821 | − | 15.7219i | −2.59794 | − | 0.592962i | ||||
\(704\) | 5.04711 | 0.190220 | ||||||||
\(705\) | −0.853005 | + | 1.84712i | −0.0321260 | + | 0.0695665i | ||||
\(706\) | 0.787734 | − | 3.45129i | 0.0296468 | − | 0.129891i | ||||
\(707\) | 11.7277 | − | 7.24053i | 0.441066 | − | 0.272308i | ||||
\(708\) | 12.8019 | − | 2.92195i | 0.481124 | − | 0.109814i | ||||
\(709\) | −0.0729235 | − | 0.319499i | −0.00273870 | − | 0.0119990i | 0.973540 | − | 0.228516i | \(-0.0733874\pi\) |
−0.976279 | + | 0.216517i | \(0.930530\pi\) | |||||||
\(710\) | 3.44779 | + | 14.0541i | 0.129393 | + | 0.527439i | ||||
\(711\) | 40.9883 | + | 51.3977i | 1.53718 | + | 1.92757i | ||||
\(712\) | 10.5916 | − | 2.41747i | 0.396939 | − | 0.0905987i | ||||
\(713\) | 0.274932 | − | 0.0627514i | 0.0102963 | − | 0.00235006i | ||||
\(714\) | −18.0865 | + | 50.4084i | −0.676871 | + | 1.88649i | ||||
\(715\) | −31.6745 | + | 41.0638i | −1.18456 | + | 1.53570i | ||||
\(716\) | 18.4358 | 0.688978 | ||||||||
\(717\) | − | 17.0611i | − | 0.637159i | ||||||
\(718\) | 3.52744 | + | 0.805116i | 0.131643 | + | 0.0300467i | ||||
\(719\) | 12.7625 | − | 6.14612i | 0.475963 | − | 0.229212i | −0.180493 | − | 0.983576i | \(-0.557769\pi\) |
0.656455 | + | 0.754365i | \(0.272055\pi\) | |||||||
\(720\) | −11.0472 | + | 2.71015i | −0.411706 | + | 0.101001i | ||||
\(721\) | 11.6739 | + | 18.9085i | 0.434757 | + | 0.704190i | ||||
\(722\) | −20.8524 | − | 16.6293i | −0.776047 | − | 0.618877i | ||||
\(723\) | −19.0331 | − | 4.34418i | −0.707848 | − | 0.161562i | ||||
\(724\) | 4.32496 | − | 5.42332i | 0.160736 | − | 0.201556i | ||||
\(725\) | 4.04800 | + | 1.79053i | 0.150339 | + | 0.0664986i | ||||
\(726\) | −25.6619 | − | 32.1790i | −0.952403 | − | 1.19428i | ||||
\(727\) | −14.1406 | + | 29.3633i | −0.524446 | + | 1.08902i | 0.455587 | + | 0.890191i | \(0.349429\pi\) |
−0.980033 | + | 0.198833i | \(0.936285\pi\) | |||||||
\(728\) | 1.45657 | − | 12.0703i | 0.0539841 | − | 0.447356i | ||||
\(729\) | −38.2096 | + | 18.4008i | −1.41517 | + | 0.681511i | ||||
\(730\) | 4.64062 | − | 3.82517i | 0.171757 | − | 0.141576i | ||||
\(731\) | −1.25439 | − | 5.49584i | −0.0463953 | − | 0.203271i | ||||
\(732\) | −5.26825 | + | 10.9396i | −0.194720 | + | 0.404340i | ||||
\(733\) | −23.7016 | − | 18.9014i | −0.875439 | − | 0.698139i | 0.0788944 | − | 0.996883i | \(-0.474861\pi\) |
−0.954333 | + | 0.298744i | \(0.903432\pi\) | |||||||
\(734\) | −10.8365 | −0.399981 | ||||||||
\(735\) | −34.7901 | + | 27.7661i | −1.28325 | + | 1.02417i | ||||
\(736\) | −0.439456 | −0.0161986 | ||||||||
\(737\) | −3.19621 | − | 2.54890i | −0.117734 | − | 0.0938898i | ||||
\(738\) | −11.6179 | + | 24.1247i | −0.427660 | + | 0.888044i | ||||
\(739\) | 4.92529 | + | 21.5791i | 0.181180 | + | 0.793799i | 0.981070 | + | 0.193653i | \(0.0620337\pi\) |
−0.799890 | + | 0.600146i | \(0.795109\pi\) | |||||||
\(740\) | 14.8693 | + | 18.0391i | 0.546606 | + | 0.663131i | ||||
\(741\) | 79.5670 | − | 38.3174i | 2.92297 | − | 1.40763i | ||||
\(742\) | −9.06528 | + | 5.59678i | −0.332797 | + | 0.205464i | ||||
\(743\) | 8.51626 | − | 17.6842i | 0.312431 | − | 0.648770i | −0.684331 | − | 0.729171i | \(-0.739906\pi\) |
0.996763 | + | 0.0804011i | \(0.0256201\pi\) | |||||||
\(744\) | −1.13778 | − | 1.42674i | −0.0417132 | − | 0.0523067i | ||||
\(745\) | −0.311583 | − | 19.2638i | −0.0114155 | − | 0.705770i | ||||
\(746\) | 16.9806 | − | 21.2930i | 0.621705 | − | 0.779593i | ||||
\(747\) | 32.2924 | + | 7.37052i | 1.18152 | + | 0.269673i | ||||
\(748\) | −28.0875 | − | 22.3990i | −1.02698 | − | 0.818989i | ||||
\(749\) | 4.44238 | + | 42.4352i | 0.162321 | + | 1.55055i | ||||
\(750\) | 25.7899 | + | 18.5944i | 0.941714 | + | 0.678972i | ||||
\(751\) | −19.9759 | + | 9.61989i | −0.728932 | + | 0.351035i | −0.761264 | − | 0.648442i | \(-0.775421\pi\) |
0.0323323 | + | 0.999477i | \(0.489707\pi\) | |||||||
\(752\) | 0.311937 | + | 0.0711976i | 0.0113752 | + | 0.00259631i | ||||
\(753\) | − | 19.6822i | − | 0.717259i | ||||||
\(754\) | −4.06801 | −0.148148 | ||||||||
\(755\) | −12.3035 | − | 9.49028i | −0.447769 | − | 0.345387i | ||||
\(756\) | −15.5890 | − | 1.88118i | −0.566966 | − | 0.0684180i | ||||
\(757\) | −40.4372 | + | 9.22953i | −1.46972 | + | 0.335453i | −0.881088 | − | 0.472952i | \(-0.843189\pi\) |
−0.588627 | + | 0.808405i | \(0.700331\pi\) | |||||||
\(758\) | 19.9708 | − | 4.55819i | 0.725370 | − | 0.165561i | ||||
\(759\) | 3.93260 | + | 4.93132i | 0.142744 | + | 0.178996i | ||||
\(760\) | 3.60044 | + | 14.6763i | 0.130602 | + | 0.532364i | ||||
\(761\) | 5.75815 | + | 25.2281i | 0.208733 | + | 0.914518i | 0.965411 | + | 0.260731i | \(0.0839636\pi\) |
−0.756679 | + | 0.653787i | \(0.773179\pi\) | |||||||
\(762\) | 45.4726 | − | 10.3788i | 1.64730 | − | 0.375985i | ||||
\(763\) | −10.1630 | − | 29.7967i | −0.367927 | − | 1.07871i | ||||
\(764\) | 3.99556 | − | 17.5057i | 0.144554 | − | 0.633333i | ||||
\(765\) | 73.5061 | + | 33.9454i | 2.65762 | + | 1.22730i | ||||
\(766\) | 0.0336770 | 0.00121680 | ||||||||
\(767\) | 20.6867 | + | 4.72159i | 0.746952 | + | 0.170487i | ||||
\(768\) | 1.23386 | + | 2.56214i | 0.0445231 | + | 0.0924532i | ||||
\(769\) | 22.7146 | + | 28.4833i | 0.819111 | + | 1.02713i | 0.999055 | + | 0.0434561i | \(0.0138369\pi\) |
−0.179944 | + | 0.983677i | \(0.557592\pi\) | |||||||
\(770\) | −10.0948 | − | 28.1009i | −0.363793 | − | 1.01269i | ||||
\(771\) | 10.6529 | − | 13.3583i | 0.383655 | − | 0.481088i | ||||
\(772\) | 14.9080 | + | 3.40264i | 0.536549 | + | 0.122464i | ||||
\(773\) | 23.6035 | + | 18.8232i | 0.848959 | + | 0.677023i | 0.948073 | − | 0.318054i | \(-0.103029\pi\) |
−0.0991133 | + | 0.995076i | \(0.531601\pi\) | |||||||
\(774\) | 3.62972 | − | 1.74798i | 0.130468 | − | 0.0628299i | ||||
\(775\) | −0.612429 | + | 3.14955i | −0.0219991 | + | 0.113135i | ||||
\(776\) | 0.851738 | + | 0.410176i | 0.0305756 | + | 0.0147244i | ||||
\(777\) | 25.3929 | + | 74.4486i | 0.910965 | + | 2.67083i | ||||
\(778\) | 5.73117 | + | 11.9009i | 0.205472 | + | 0.426668i | ||||
\(779\) | 32.0498 | + | 15.4344i | 1.14830 | + | 0.552994i | ||||
\(780\) | −28.5893 | − | 6.04059i | −1.02366 | − | 0.216288i | ||||
\(781\) | −29.4279 | − | 14.1717i | −1.05301 | − | 0.507104i | ||||
\(782\) | 2.44560 | + | 1.95030i | 0.0874545 | + | 0.0697426i | ||||
\(783\) | 5.25389i | 0.187759i | ||||||||
\(784\) | 5.40324 | + | 4.45028i | 0.192973 | + | 0.158939i | ||||
\(785\) | −8.94310 | − | 4.12995i | −0.319193 | − | 0.147404i | ||||
\(786\) | −23.3002 | + | 29.2175i | −0.831089 | + | 1.04215i | ||||
\(787\) | −1.88967 | + | 3.92395i | −0.0673596 | + | 0.139874i | −0.931930 | − | 0.362638i | \(-0.881876\pi\) |
0.864571 | + | 0.502511i | \(0.167591\pi\) | |||||||
\(788\) | −10.7615 | + | 2.45625i | −0.383364 | + | 0.0875003i | ||||
\(789\) | −17.3960 | − | 8.37748i | −0.619315 | − | 0.298246i | ||||
\(790\) | −28.8935 | + | 0.467340i | −1.02798 | + | 0.0166272i | ||||
\(791\) | −4.79379 | − | 45.7920i | −0.170447 | − | 1.62817i | ||||
\(792\) | 11.1397 | − | 23.1319i | 0.395833 | − | 0.821956i | ||||
\(793\) | −15.3399 | + | 12.2331i | −0.544735 | + | 0.434412i | ||||
\(794\) | −19.3939 | + | 9.33961i | −0.688264 | + | 0.331450i | ||||
\(795\) | 11.4814 | + | 22.8871i | 0.407205 | + | 0.811720i | ||||
\(796\) | −1.17574 | + | 5.15126i | −0.0416731 | + | 0.182582i | ||||
\(797\) | −29.9391 | − | 23.8756i | −1.06050 | − | 0.845717i | −0.0720666 | − | 0.997400i | \(-0.522959\pi\) |
−0.988429 | + | 0.151683i | \(0.951531\pi\) | |||||||
\(798\) | −6.09168 | + | 50.4805i | −0.215643 | + | 1.78699i | ||||
\(799\) | −1.41998 | − | 1.78059i | −0.0502351 | − | 0.0629929i | ||||
\(800\) | 2.02259 | − | 4.57265i | 0.0715095 | − | 0.161668i | ||||
\(801\) | 12.2976 | − | 53.8794i | 0.434515 | − | 1.90373i | ||||
\(802\) | 0.425661i | 0.0150306i | ||||||||
\(803\) | 13.5742i | 0.479025i | ||||||||
\(804\) | 0.512559 | − | 2.24567i | 0.0180766 | − | 0.0791986i | ||||
\(805\) | 0.878966 | + | 2.44677i | 0.0309795 | + | 0.0862372i | ||||
\(806\) | −0.656171 | − | 2.87487i | −0.0231127 | − | 0.101263i | ||||
\(807\) | −1.01367 | + | 0.231363i | −0.0356828 | + | 0.00814437i | ||||
\(808\) | −4.07287 | + | 3.24801i | −0.143283 | + | 0.114264i | ||||
\(809\) | −2.35536 | − | 2.95353i | −0.0828100 | − | 0.103841i | 0.738701 | − | 0.674034i | \(-0.235440\pi\) |
−0.821511 | + | 0.570193i | \(0.806868\pi\) | |||||||
\(810\) | −0.747146 | + | 3.53614i | −0.0262520 | + | 0.124247i | ||||
\(811\) | 6.96778 | + | 30.5278i | 0.244672 | + | 1.07198i | 0.936707 | + | 0.350114i | \(0.113857\pi\) |
−0.692035 | + | 0.721864i | \(0.743286\pi\) | |||||||
\(812\) | 1.26174 | − | 1.97329i | 0.0442782 | − | 0.0692489i | ||||
\(813\) | 10.5152 | + | 2.40004i | 0.368786 | + | 0.0841729i | ||||
\(814\) | −52.7660 | −1.84945 | ||||||||
\(815\) | 8.72567 | + | 4.02954i | 0.305647 | + | 0.141149i | ||||
\(816\) | 4.50423 | − | 19.7343i | 0.157680 | − | 0.690840i | ||||
\(817\) | −2.32220 | − | 4.82210i | −0.0812435 | − | 0.168704i | ||||
\(818\) | −22.6629 | + | 18.0731i | −0.792391 | + | 0.631910i | ||||
\(819\) | −52.1058 | − | 33.3168i | −1.82072 | − | 1.16418i | ||||
\(820\) | −5.27768 | − | 10.5205i | −0.184304 | − | 0.367392i | ||||
\(821\) | 10.0457 | − | 44.0132i | 0.350598 | − | 1.53607i | −0.425205 | − | 0.905097i | \(-0.639798\pi\) |
0.775803 | − | 0.630975i | \(-0.217345\pi\) | |||||||
\(822\) | −35.7611 | − | 28.5185i | −1.24731 | − | 0.994697i | ||||
\(823\) | 0.255994 | + | 0.531578i | 0.00892341 | + | 0.0185296i | 0.905383 | − | 0.424596i | \(-0.139584\pi\) |
−0.896460 | + | 0.443126i | \(0.853870\pi\) | |||||||
\(824\) | −5.23674 | − | 6.56666i | −0.182430 | − | 0.228760i | ||||
\(825\) | −69.4114 | + | 18.2233i | −2.41660 | + | 0.634453i | ||||
\(826\) | −8.70651 | + | 8.57013i | −0.302938 | + | 0.298193i | ||||
\(827\) | −19.9934 | − | 41.5168i | −0.695240 | − | 1.44368i | −0.886778 | − | 0.462196i | \(-0.847062\pi\) |
0.191538 | − | 0.981485i | \(-0.438653\pi\) | |||||||
\(828\) | −0.969946 | + | 2.01411i | −0.0337079 | + | 0.0699953i | ||||
\(829\) | −0.312076 | − | 1.36729i | −0.0108388 | − | 0.0474881i | 0.969219 | − | 0.246199i | \(-0.0791817\pi\) |
−0.980058 | + | 0.198711i | \(0.936325\pi\) | |||||||
\(830\) | −11.2350 | + | 9.26076i | −0.389971 | + | 0.321446i | ||||
\(831\) | −7.29248 | + | 9.14449i | −0.252973 | + | 0.317219i | ||||
\(832\) | 4.59525i | 0.159312i | ||||||||
\(833\) | −10.3191 | − | 48.7456i | −0.357535 | − | 1.68894i | ||||
\(834\) | −10.7363 | −0.371768 | ||||||||
\(835\) | −32.3202 | + | 16.2136i | −1.11849 | + | 0.561096i | ||||
\(836\) | −30.7308 | − | 14.7992i | −1.06285 | − | 0.511840i | ||||
\(837\) | −3.71294 | + | 0.847455i | −0.128338 | + | 0.0292923i | ||||
\(838\) | 11.7151 | − | 24.3267i | 0.404692 | − | 0.840352i | ||||
\(839\) | −15.1546 | + | 7.29806i | −0.523194 | + | 0.251957i | −0.676789 | − | 0.736177i | \(-0.736629\pi\) |
0.153595 | + | 0.988134i | \(0.450915\pi\) | |||||||
\(840\) | 11.7974 | − | 11.9944i | 0.407049 | − | 0.413846i | ||||
\(841\) | 25.4220 | + | 12.2426i | 0.876621 | + | 0.422159i | ||||
\(842\) | 16.7639 | − | 13.3688i | 0.577724 | − | 0.460719i | ||||
\(843\) | 20.4360 | + | 42.4358i | 0.703854 | + | 1.46157i | ||||
\(844\) | 2.48930 | − | 3.12148i | 0.0856851 | − | 0.107446i | ||||
\(845\) | −14.3703 | − | 11.0845i | −0.494353 | − | 0.381319i | ||||
\(846\) | 1.01480 | − | 1.27253i | 0.0348897 | − | 0.0437503i | ||||
\(847\) | 36.0429 | + | 12.9322i | 1.23845 | + | 0.444355i | ||||
\(848\) | 3.14824 | − | 2.51064i | 0.108111 | − | 0.0862157i | ||||
\(849\) | 51.4740 | − | 24.7886i | 1.76658 | − | 0.850741i | ||||
\(850\) | −31.5492 | + | 16.4708i | −1.08213 | + | 0.564945i | ||||
\(851\) | 4.59438 | 0.157493 | ||||||||
\(852\) | − | 18.4035i | − | 0.630493i | ||||||
\(853\) | −25.6719 | − | 5.85945i | −0.878990 | − | 0.200624i | −0.240867 | − | 0.970558i | \(-0.577432\pi\) |
−0.638123 | + | 0.769934i | \(0.720289\pi\) | |||||||
\(854\) | −1.17617 | − | 11.2352i | −0.0402478 | − | 0.384462i | ||||
\(855\) | 75.2110 | + | 15.8912i | 2.57216 | + | 0.543469i | ||||
\(856\) | −3.58852 | − | 15.7223i | −0.122653 | − | 0.537378i | ||||
\(857\) | −17.8569 | + | 14.2404i | −0.609981 | + | 0.486443i | −0.879083 | − | 0.476668i | \(-0.841844\pi\) |
0.269103 | + | 0.963112i | \(0.413273\pi\) | |||||||
\(858\) | 51.5653 | − | 41.1219i | 1.76041 | − | 1.40388i | ||||
\(859\) | −5.00083 | − | 21.9101i | −0.170626 | − | 0.747563i | −0.985742 | − | 0.168264i | \(-0.946184\pi\) |
0.815116 | − | 0.579298i | \(-0.196673\pi\) | |||||||
\(860\) | −0.366085 | + | 1.73263i | −0.0124834 | + | 0.0590822i | ||||
\(861\) | −4.12343 | − | 39.3885i | −0.140526 | − | 1.34236i | ||||
\(862\) | 5.66071 | + | 1.29202i | 0.192805 | + | 0.0440064i | ||||
\(863\) | 27.6489i | 0.941181i | 0.882352 | + | 0.470590i | \(0.155959\pi\) | ||||
−0.882352 | + | 0.470590i | \(0.844041\pi\) | |||||||
\(864\) | 5.93483 | 0.201907 | ||||||||
\(865\) | 8.46905 | − | 10.9795i | 0.287956 | − | 0.373315i | ||||
\(866\) | 30.8119 | − | 14.8382i | 1.04703 | − | 0.504224i | ||||
\(867\) | −74.8504 | + | 59.6912i | −2.54205 | + | 2.02722i | ||||
\(868\) | 1.59805 | + | 0.573380i | 0.0542413 | + | 0.0194618i | ||||
\(869\) | 40.6672 | − | 50.9950i | 1.37954 | − | 1.72989i | ||||
\(870\) | −4.45731 | − | 3.43815i | −0.151117 | − | 0.116564i | ||||
\(871\) | 2.32070 | − | 2.91006i | 0.0786338 | − | 0.0986037i | ||||
\(872\) | 5.16286 | + | 10.7208i | 0.174836 | + | 0.363052i | ||||
\(873\) | 3.75983 | − | 2.99837i | 0.127251 | − | 0.101479i | ||||
\(874\) | 2.67576 | + | 1.28858i | 0.0905088 | + | 0.0435867i | ||||
\(875\) | −29.5047 | − | 2.11537i | −0.997440 | − | 0.0715126i | ||||
\(876\) | −6.89090 | + | 3.31848i | −0.232822 | + | 0.112121i | ||||
\(877\) | −9.12835 | + | 18.9552i | −0.308243 | + | 0.640072i | −0.996334 | − | 0.0855520i | \(-0.972735\pi\) |
0.688091 | + | 0.725624i | \(0.258449\pi\) | |||||||
\(878\) | 33.3389 | − | 7.60938i | 1.12513 | − | 0.256804i | ||||
\(879\) | −8.19646 | − | 3.94721i | −0.276460 | − | 0.133136i | ||||
\(880\) | 5.06047 | + | 10.0875i | 0.170588 | + | 0.340050i | ||||
\(881\) | −7.33135 | −0.247000 | −0.123500 | − | 0.992345i | \(-0.539412\pi\) | ||||
−0.123500 | + | 0.992345i | \(0.539412\pi\) | |||||||
\(882\) | 32.3223 | − | 14.9417i | 1.08835 | − | 0.503112i | ||||
\(883\) | − | 17.8036i | − | 0.599140i | −0.954074 | − | 0.299570i | \(-0.903157\pi\) | ||
0.954074 | − | 0.299570i | \(-0.0968433\pi\) | |||||||
\(884\) | 20.3937 | − | 25.5729i | 0.685913 | − | 0.860108i | ||||
\(885\) | 18.6758 | + | 22.6571i | 0.627781 | + | 0.761611i | ||||
\(886\) | −2.67351 | − | 11.7134i | −0.0898182 | − | 0.393519i | ||||
\(887\) | 2.11740 | − | 4.39683i | 0.0710954 | − | 0.147631i | −0.862392 | − | 0.506241i | \(-0.831035\pi\) |
0.933488 | + | 0.358610i | \(0.116749\pi\) | |||||||
\(888\) | −12.8997 | − | 26.7864i | −0.432884 | − | 0.898893i | ||||
\(889\) | −30.9257 | + | 30.4413i | −1.03721 | + | 1.02097i | ||||
\(890\) | 15.4514 | + | 18.7454i | 0.517933 | + | 0.628346i | ||||
\(891\) | −5.08627 | − | 6.37799i | −0.170397 | − | 0.213671i | ||||
\(892\) | −11.6139 | − | 24.1165i | −0.388862 | − | 0.807479i | ||||
\(893\) | −1.69055 | − | 1.34817i | −0.0565722 | − | 0.0451148i | ||||
\(894\) | −5.45226 | + | 23.8879i | −0.182351 | + | 0.798931i | ||||
\(895\) | 18.4846 | + | 36.8472i | 0.617873 | + | 1.23166i | ||||
\(896\) | −2.22904 | − | 1.42526i | −0.0744670 | − | 0.0476147i | ||||
\(897\) | −4.48983 | + | 3.58052i | −0.149911 | + | 0.119550i | ||||
\(898\) | 9.01054 | + | 18.7106i | 0.300686 | + | 0.624380i | ||||
\(899\) | 0.126410 | − | 0.553838i | 0.00421601 | − | 0.0184715i | ||||
\(900\) | −16.4932 | − | 19.3625i | −0.549773 | − | 0.645416i | ||||
\(901\) | −28.6624 | −0.954882 | ||||||||
\(902\) | 25.9006 | + | 5.91163i | 0.862394 | + | 0.196836i | ||||
\(903\) | −3.20991 | + | 5.02014i | −0.106819 | + | 0.167060i | ||||
\(904\) | 3.87238 | + | 16.9660i | 0.128793 | + | 0.564281i | ||||
\(905\) | 15.1759 | + | 3.20649i | 0.504463 | + | 0.106587i | ||||
\(906\) | 12.3209 | + | 15.4499i | 0.409335 | + | 0.513289i | ||||
\(907\) | −12.7068 | + | 10.1333i | −0.421921 | + | 0.336471i | −0.811324 | − | 0.584597i | \(-0.801253\pi\) |
0.389403 | + | 0.921067i | \(0.372681\pi\) | |||||||
\(908\) | −23.9279 | + | 5.46138i | −0.794074 | + | 0.181242i | ||||
\(909\) | 5.89681 | + | 25.8356i | 0.195585 | + | 0.856913i | ||||
\(910\) | 25.5851 | − | 9.19107i | 0.848136 | − | 0.304681i | ||||
\(911\) | −1.56976 | + | 6.87758i | −0.0520086 | + | 0.227864i | −0.994252 | − | 0.107064i | \(-0.965855\pi\) |
0.942244 | + | 0.334928i | \(0.108712\pi\) | |||||||
\(912\) | − | 19.2183i | − | 0.636380i | ||||||
\(913\) | − | 32.8633i | − | 1.08762i | ||||||
\(914\) | 6.59918 | − | 28.9129i | 0.218281 | − | 0.956353i | ||||
\(915\) | −27.1469 | + | 0.439090i | −0.897450 | + | 0.0145159i | ||||
\(916\) | −0.464125 | − | 0.581994i | −0.0153351 | − | 0.0192296i | ||||
\(917\) | 4.16543 | − | 34.5181i | 0.137555 | − | 1.13989i | ||||
\(918\) | −33.0277 | − | 26.3387i | −1.09008 | − | 0.869307i | ||||
\(919\) | −9.42565 | + | 41.2965i | −0.310924 | + | 1.36225i | 0.542074 | + | 0.840331i | \(0.317639\pi\) |
−0.852998 | + | 0.521915i | \(0.825218\pi\) | |||||||
\(920\) | −0.440620 | − | 0.878329i | −0.0145268 | − | 0.0289576i | ||||
\(921\) | −37.0522 | + | 17.8434i | −1.22091 | + | 0.587960i | ||||
\(922\) | −23.8632 | + | 19.0302i | −0.785892 | + | 0.626728i | ||||
\(923\) | 12.9030 | − | 26.7933i | 0.424706 | − | 0.881911i | ||||
\(924\) | 3.95373 | + | 37.7674i | 0.130068 | + | 1.24246i | ||||
\(925\) | −21.1456 | + | 47.8057i | −0.695264 | + | 1.57184i | ||||
\(926\) | 13.9323 | + | 6.70944i | 0.457844 | + | 0.220486i | ||||
\(927\) | −41.6546 | + | 9.50739i | −1.36812 | + | 0.312264i | ||||
\(928\) | −0.384102 | + | 0.797596i | −0.0126088 | + | 0.0261824i | ||||
\(929\) | 10.6435 | − | 13.3465i | 0.349202 | − | 0.437886i | −0.575948 | − | 0.817486i | \(-0.695367\pi\) |
0.925151 | + | 0.379600i | \(0.123939\pi\) | |||||||
\(930\) | 1.71078 | − | 3.70457i | 0.0560988 | − | 0.121478i | ||||
\(931\) | −19.8501 | − | 42.9403i | −0.650560 | − | 1.40731i | ||||
\(932\) | − | 30.1793i | − | 0.988555i | ||||||
\(933\) | −12.1963 | − | 9.72619i | −0.399287 | − | 0.318421i | ||||
\(934\) | 30.6890 | + | 14.7790i | 1.00417 | + | 0.483585i | ||||
\(935\) | 16.6065 | − | 78.5960i | 0.543090 | − | 2.57036i | ||||
\(936\) | 21.0609 | + | 10.1424i | 0.688398 | + | 0.331515i | ||||
\(937\) | −0.0864798 | − | 0.179577i | −0.00282517 | − | 0.00586653i | 0.899552 | − | 0.436815i | \(-0.143893\pi\) |
−0.902377 | + | 0.430948i | \(0.858179\pi\) | |||||||
\(938\) | 0.691811 | + | 2.02830i | 0.0225884 | + | 0.0662263i | ||||
\(939\) | 56.1413 | + | 27.0362i | 1.83210 | + | 0.882294i | ||||
\(940\) | 0.170462 | + | 0.694846i | 0.00555987 | + | 0.0226634i | ||||
\(941\) | 47.1121 | − | 22.6880i | 1.53581 | − | 0.739608i | 0.540969 | − | 0.841042i | \(-0.318057\pi\) |
0.994842 | + | 0.101434i | \(0.0323432\pi\) | |||||||
\(942\) | 9.79459 | + | 7.81092i | 0.319125 | + | 0.254494i | ||||
\(943\) | −2.25518 | − | 0.514731i | −0.0734389 | − | 0.0167619i | ||||
\(944\) | 2.87898 | − | 3.61012i | 0.0937027 | − | 0.117499i | ||||
\(945\) | −11.8704 | − | 33.0435i | −0.386144 | − | 1.07490i | ||||
\(946\) | −2.49216 | − | 3.12507i | −0.0810272 | − | 0.101605i | ||||
\(947\) | −2.87443 | − | 5.96882i | −0.0934065 | − | 0.193961i | 0.849031 | − | 0.528343i | \(-0.177187\pi\) |
−0.942437 | + | 0.334383i | \(0.891472\pi\) | |||||||
\(948\) | 35.8292 | + | 8.17779i | 1.16368 | + | 0.265602i | ||||
\(949\) | −12.3590 | −0.401189 | ||||||||
\(950\) | −25.7231 | + | 21.9112i | −0.834568 | + | 0.710895i | ||||
\(951\) | −20.2216 | + | 88.5966i | −0.655730 | + | 2.87294i | ||||
\(952\) | 6.07945 | + | 17.8242i | 0.197036 | + | 0.577684i | ||||
\(953\) | 31.4104 | − | 7.16922i | 1.01748 | − | 0.232234i | 0.318919 | − | 0.947782i | \(-0.396680\pi\) |
0.698563 | + | 0.715548i | \(0.253823\pi\) | |||||||
\(954\) | −4.55811 | − | 19.9704i | −0.147574 | − | 0.646565i | ||||
\(955\) | 38.9943 | − | 9.56622i | 1.26182 | − | 0.309556i | ||||
\(956\) | −3.74062 | − | 4.69059i | −0.120980 | − | 0.151705i | ||||
\(957\) | 12.3874 | − | 2.82735i | 0.400428 | − | 0.0913951i | ||||
\(958\) | 34.5703 | − | 7.89045i | 1.11692 | − | 0.254929i | ||||
\(959\) | 42.2488 | + | 5.09833i | 1.36429 | + | 0.164634i | ||||
\(960\) | −3.88375 | + | 5.03501i | −0.125348 | + | 0.162504i | ||||
\(961\) | −30.5882 | −0.986716 | ||||||||
\(962\) | − | 48.0420i | − | 1.54894i | ||||||
\(963\) | −79.9789 | − | 18.2547i | −2.57728 | − | 0.588248i | ||||
\(964\) | −6.18520 | + | 2.97864i | −0.199212 | + | 0.0959354i | ||||
\(965\) | 8.14666 | + | 33.2078i | 0.262250 | + | 1.06900i | ||||
\(966\) | −0.344255 | − | 3.28844i | −0.0110762 | − | 0.105804i | ||||
\(967\) | −26.9179 | − | 21.4663i | −0.865621 | − | 0.690310i | 0.0864272 | − | 0.996258i | \(-0.472455\pi\) |
−0.952048 | + | 0.305949i | \(0.901026\pi\) | |||||||
\(968\) | −14.1104 | − | 3.22061i | −0.453525 | − | 0.103514i | ||||
\(969\) | −85.2905 | + | 106.951i | −2.73993 | + | 3.43576i | ||||
\(970\) | 0.0341867 | + | 2.11361i | 0.00109767 | + | 0.0678639i | ||||
\(971\) | 20.6445 | + | 25.8874i | 0.662515 | + | 0.830767i | 0.993614 | − | 0.112828i | \(-0.0359911\pi\) |
−0.331100 | + | 0.943596i | \(0.607420\pi\) | |||||||
\(972\) | −5.73076 | + | 11.9000i | −0.183814 | + | 0.381694i | ||||
\(973\) | 8.49941 | − | 5.24741i | 0.272478 | − | 0.168224i | ||||
\(974\) | −8.17620 | + | 3.93745i | −0.261982 | + | 0.126164i | ||||
\(975\) | −16.5918 | − | 63.1972i | −0.531362 | − | 2.02393i | ||||
\(976\) | 0.950103 | + | 4.16267i | 0.0304121 | + | 0.133244i | ||||
\(977\) | −26.0133 | + | 54.0172i | −0.832240 | + | 1.72816i | −0.160960 | + | 0.986961i | \(0.551459\pi\) |
−0.671280 | + | 0.741204i | \(0.734255\pi\) | |||||||
\(978\) | −9.55646 | − | 7.62103i | −0.305582 | − | 0.243694i | ||||
\(979\) | −54.8319 | −1.75244 | ||||||||
\(980\) | −3.47711 | + | 15.2614i | −0.111072 | + | 0.487507i | ||||
\(981\) | 60.5307 | 1.93260 | ||||||||
\(982\) | 17.2814 | + | 13.7814i | 0.551471 | + | 0.439784i | ||||
\(983\) | −23.2990 | + | 48.3809i | −0.743124 | + | 1.54311i | 0.0936762 | + | 0.995603i | \(0.470138\pi\) |
−0.836800 | + | 0.547509i | \(0.815576\pi\) | |||||||
\(984\) | 3.33087 | + | 14.5935i | 0.106184 | + | 0.465224i | ||||
\(985\) | −15.6993 | − | 19.0461i | −0.500221 | − | 0.606858i | ||||
\(986\) | 5.67728 | − | 2.73403i | 0.180801 | − | 0.0870693i | ||||
\(987\) | −0.288410 | + | 2.38999i | −0.00918019 | + | 0.0760744i | ||||
\(988\) | 13.4742 | − | 27.9795i | 0.428672 | − | 0.890147i | ||||
\(989\) | 0.216995 | + | 0.272103i | 0.00690003 | + | 0.00865236i | ||||
\(990\) | 57.4023 | − | 0.928458i | 1.82437 | − | 0.0295083i | ||||
\(991\) | −7.76153 | + | 9.73265i | −0.246553 | + | 0.309168i | −0.889674 | − | 0.456597i | \(-0.849068\pi\) |
0.643120 | + | 0.765765i | \(0.277639\pi\) | |||||||
\(992\) | −0.625619 | − | 0.142793i | −0.0198634 | − | 0.00453370i | ||||
\(993\) | 55.7975 | + | 44.4970i | 1.77068 | + | 1.41207i | ||||
\(994\) | 8.99477 | + | 14.5691i | 0.285297 | + | 0.462104i | ||||
\(995\) | −11.4746 | + | 2.81498i | −0.363768 | + | 0.0892409i | ||||
\(996\) | 16.6829 | − | 8.03405i | 0.528617 | − | 0.254569i | ||||
\(997\) | 49.7344 | + | 11.3515i | 1.57510 | + | 0.359507i | 0.918716 | − | 0.394918i | \(-0.129227\pi\) |
0.656387 | + | 0.754425i | \(0.272084\pi\) | |||||||
\(998\) | 8.52722i | 0.269924i | ||||||||
\(999\) | −62.0469 | −1.96308 |
(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 | 490.2.p.a.239.3 | ✓ | 168 | |
5.4 | even | 2 | inner | 490.2.p.a.239.26 | yes | 168 | |
49.8 | even | 7 | inner | 490.2.p.a.449.26 | yes | 168 | |
245.204 | even | 14 | inner | 490.2.p.a.449.3 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.p.a.239.3 | ✓ | 168 | 1.1 | even | 1 | trivial | |
490.2.p.a.239.26 | yes | 168 | 5.4 | even | 2 | inner | |
490.2.p.a.449.3 | yes | 168 | 245.204 | even | 14 | inner | |
490.2.p.a.449.26 | yes | 168 | 49.8 | even | 7 | inner |