Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(160,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.160");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 160.3 | ||
Character | \(\chi\) | \(=\) | 403.160 |
Dual form | 403.2.s.a.335.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.12624 | − | 1.22758i | −1.50348 | − | 0.868032i | −0.999992 | − | 0.00402754i | \(-0.998718\pi\) |
−0.503484 | − | 0.864005i | \(-0.667949\pi\) | |||||||
\(3\) | 0.398773 | + | 0.690696i | 0.230232 | + | 0.398773i | 0.957876 | − | 0.287181i | \(-0.0927182\pi\) |
−0.727644 | + | 0.685955i | \(0.759385\pi\) | |||||||
\(4\) | 2.01392 | + | 3.48821i | 1.00696 | + | 1.74411i | ||||
\(5\) | −3.14114 | + | 1.81354i | −1.40476 | + | 0.811039i | −0.994876 | − | 0.101098i | \(-0.967764\pi\) |
−0.409885 | + | 0.912137i | \(0.634431\pi\) | |||||||
\(6\) | − | 1.95811i | − | 0.799395i | ||||||
\(7\) | 4.93931i | 1.86688i | 0.358728 | + | 0.933442i | \(0.383211\pi\) | ||||
−0.358728 | + | 0.933442i | \(0.616789\pi\) | |||||||
\(8\) | − | 4.97868i | − | 1.76023i | ||||||
\(9\) | 1.18196 | − | 2.04721i | 0.393987 | − | 0.682405i | ||||
\(10\) | 8.90508 | 2.81603 | ||||||||
\(11\) | − | 1.53473i | − | 0.462738i | −0.972866 | − | 0.231369i | \(-0.925680\pi\) | ||
0.972866 | − | 0.231369i | \(-0.0743205\pi\) | |||||||
\(12\) | −1.60619 | + | 2.78201i | −0.463668 | + | 0.803097i | ||||
\(13\) | −2.13237 | + | 2.90740i | −0.591413 | + | 0.806369i | ||||
\(14\) | 6.06341 | − | 10.5021i | 1.62052 | − | 2.80682i | ||||
\(15\) | −2.50521 | − | 1.44638i | −0.646842 | − | 0.373454i | ||||
\(16\) | −2.08390 | + | 3.60943i | −0.520976 | + | 0.902356i | ||||
\(17\) | −5.88743 | −1.42791 | −0.713956 | − | 0.700190i | \(-0.753098\pi\) | ||||
−0.713956 | + | 0.700190i | \(0.753098\pi\) | |||||||
\(18\) | −5.02625 | + | 2.90191i | −1.18470 | + | 0.683986i | ||||
\(19\) | − | 4.36041i | − | 1.00035i | −0.865925 | − | 0.500173i | \(-0.833270\pi\) | ||
0.865925 | − | 0.500173i | \(-0.166730\pi\) | |||||||
\(20\) | −12.6520 | − | 7.30464i | −2.82908 | − | 1.63337i | ||||
\(21\) | −3.41156 | + | 1.96967i | −0.744464 | + | 0.429816i | ||||
\(22\) | −1.88401 | + | 3.26319i | −0.401671 | + | 0.695715i | ||||
\(23\) | 1.48885 | − | 2.57877i | 0.310447 | − | 0.537710i | −0.668012 | − | 0.744150i | \(-0.732855\pi\) |
0.978459 | + | 0.206440i | \(0.0661879\pi\) | |||||||
\(24\) | 3.43875 | − | 1.98536i | 0.701932 | − | 0.405261i | ||||
\(25\) | 4.07785 | − | 7.06304i | 0.815569 | − | 1.41261i | ||||
\(26\) | 8.10300 | − | 3.56417i | 1.58913 | − | 0.698991i | ||||
\(27\) | 4.27798 | 0.823297 | ||||||||
\(28\) | −17.2294 | + | 9.94737i | −3.25604 | + | 1.87988i | ||||
\(29\) | 0.886250 | − | 1.53503i | 0.164572 | − | 0.285048i | −0.771931 | − | 0.635706i | \(-0.780709\pi\) |
0.936503 | + | 0.350659i | \(0.114042\pi\) | |||||||
\(30\) | 3.55111 | + | 6.15070i | 0.648341 | + | 1.12296i | ||||
\(31\) | −5.54265 | − | 0.528277i | −0.995489 | − | 0.0948814i | ||||
\(32\) | 0.238413 | − | 0.137648i | 0.0421458 | − | 0.0243329i | ||||
\(33\) | 1.06003 | − | 0.612009i | 0.184528 | − | 0.106537i | ||||
\(34\) | 12.5181 | + | 7.22731i | 2.14683 | + | 1.23947i | ||||
\(35\) | −8.95763 | − | 15.5151i | −1.51412 | − | 2.62253i | ||||
\(36\) | 9.52149 | 1.58691 | ||||||||
\(37\) | 6.00938 | − | 3.46951i | 0.987935 | − | 0.570385i | 0.0832788 | − | 0.996526i | \(-0.473461\pi\) |
0.904656 | + | 0.426142i | \(0.140127\pi\) | |||||||
\(38\) | −5.35276 | + | 9.27126i | −0.868333 | + | 1.50400i | ||||
\(39\) | −2.85846 | − | 0.313423i | −0.457721 | − | 0.0501878i | ||||
\(40\) | 9.02903 | + | 15.6387i | 1.42761 | + | 2.47270i | ||||
\(41\) | 7.63343i | 1.19214i | 0.802932 | + | 0.596071i | \(0.203272\pi\) | ||||
−0.802932 | + | 0.596071i | \(0.796728\pi\) | |||||||
\(42\) | 9.67171 | 1.49238 | ||||||||
\(43\) | −9.04601 | −1.37950 | −0.689752 | − | 0.724046i | \(-0.742280\pi\) | ||||
−0.689752 | + | 0.724046i | \(0.742280\pi\) | |||||||
\(44\) | 5.35346 | − | 3.09082i | 0.807064 | − | 0.465959i | ||||
\(45\) | 8.57412i | 1.27815i | ||||||||
\(46\) | −6.33130 | + | 3.65538i | −0.933499 | + | 0.538956i | ||||
\(47\) | − | 4.38154i | − | 0.639114i | −0.947567 | − | 0.319557i | \(-0.896466\pi\) | ||
0.947567 | − | 0.319557i | \(-0.103534\pi\) | |||||||
\(48\) | −3.32402 | −0.479781 | ||||||||
\(49\) | −17.3968 | −2.48526 | ||||||||
\(50\) | −17.3409 | + | 10.0118i | −2.45238 | + | 1.41588i | ||||
\(51\) | −2.34775 | − | 4.06642i | −0.328751 | − | 0.569413i | ||||
\(52\) | −14.4361 | − | 1.58287i | −2.00192 | − | 0.219505i | ||||
\(53\) | 3.98870 | + | 6.90863i | 0.547890 | + | 0.948974i | 0.998419 | + | 0.0562119i | \(0.0179022\pi\) |
−0.450529 | + | 0.892762i | \(0.648764\pi\) | |||||||
\(54\) | −9.09599 | − | 5.25157i | −1.23781 | − | 0.714648i | ||||
\(55\) | 2.78329 | + | 4.82080i | 0.375299 | + | 0.650036i | ||||
\(56\) | 24.5912 | 3.28614 | ||||||||
\(57\) | 3.01171 | − | 1.73881i | 0.398911 | − | 0.230312i | ||||
\(58\) | −3.76875 | + | 2.17589i | −0.494862 | + | 0.285708i | ||||
\(59\) | 6.54753i | 0.852416i | 0.904625 | + | 0.426208i | \(0.140151\pi\) | ||||
−0.904625 | + | 0.426208i | \(0.859849\pi\) | |||||||
\(60\) | − | 11.6516i | − | 1.50421i | ||||||
\(61\) | −0.474064 | − | 0.821103i | −0.0606977 | − | 0.105131i | 0.834080 | − | 0.551644i | \(-0.185999\pi\) |
−0.894777 | + | 0.446512i | \(0.852666\pi\) | |||||||
\(62\) | 11.1365 | + | 7.92730i | 1.41433 | + | 1.00677i | ||||
\(63\) | 10.1118 | + | 5.83807i | 1.27397 | + | 0.735527i | ||||
\(64\) | 7.65972 | 0.957465 | ||||||||
\(65\) | 1.42538 | − | 12.9997i | 0.176797 | − | 1.61241i | ||||
\(66\) | −3.00517 | −0.369910 | ||||||||
\(67\) | − | 2.88244i | − | 0.352146i | −0.984377 | − | 0.176073i | \(-0.943660\pi\) | ||
0.984377 | − | 0.176073i | \(-0.0563395\pi\) | |||||||
\(68\) | −11.8568 | − | 20.5366i | −1.43785 | − | 2.49043i | ||||
\(69\) | 2.37486 | 0.285899 | ||||||||
\(70\) | 43.9849i | 5.25721i | ||||||||
\(71\) | −7.82584 | − | 4.51825i | −0.928756 | − | 0.536218i | −0.0423383 | − | 0.999103i | \(-0.513481\pi\) |
−0.886418 | + | 0.462886i | \(0.846814\pi\) | |||||||
\(72\) | −10.1924 | − | 5.88460i | −1.20119 | − | 0.693507i | ||||
\(73\) | −3.41873 | + | 1.97381i | −0.400133 | + | 0.231017i | −0.686541 | − | 0.727091i | \(-0.740872\pi\) |
0.286409 | + | 0.958108i | \(0.407539\pi\) | |||||||
\(74\) | −17.0365 | −1.98045 | ||||||||
\(75\) | 6.50455 | 0.751080 | ||||||||
\(76\) | 15.2100 | − | 8.78151i | 1.74471 | − | 1.00731i | ||||
\(77\) | 7.58050 | 0.863878 | ||||||||
\(78\) | 5.69302 | + | 4.17541i | 0.644607 | + | 0.472772i | ||||
\(79\) | −1.84710 | + | 3.19928i | −0.207816 | + | 0.359947i | −0.951026 | − | 0.309110i | \(-0.899969\pi\) |
0.743211 | + | 0.669058i | \(0.233302\pi\) | |||||||
\(80\) | − | 15.1170i | − | 1.69013i | ||||||
\(81\) | −1.83994 | − | 3.18686i | −0.204437 | − | 0.354096i | ||||
\(82\) | 9.37067 | − | 16.2305i | 1.03482 | − | 1.79236i | ||||
\(83\) | 1.91225 | − | 1.10404i | 0.209896 | − | 0.121184i | −0.391367 | − | 0.920235i | \(-0.627998\pi\) |
0.601263 | + | 0.799051i | \(0.294664\pi\) | |||||||
\(84\) | −13.7412 | − | 7.93350i | −1.49929 | − | 0.865615i | ||||
\(85\) | 18.4933 | − | 10.6771i | 2.00588 | − | 1.15809i | ||||
\(86\) | 19.2339 | + | 11.1047i | 2.07405 | + | 1.19745i | ||||
\(87\) | 1.41365 | 0.151559 | ||||||||
\(88\) | −7.64092 | −0.814525 | ||||||||
\(89\) | −13.9315 | − | 8.04337i | −1.47674 | − | 0.852596i | −0.477084 | − | 0.878857i | \(-0.658306\pi\) |
−0.999655 | + | 0.0262614i | \(0.991640\pi\) | |||||||
\(90\) | 10.5254 | − | 18.2306i | 1.10948 | − | 1.92167i | ||||
\(91\) | −14.3606 | − | 10.5324i | −1.50540 | − | 1.10410i | ||||
\(92\) | 11.9937 | 1.25043 | ||||||||
\(93\) | −1.84538 | − | 4.03894i | −0.191357 | − | 0.418819i | ||||
\(94\) | −5.37871 | + | 9.31620i | −0.554771 | + | 0.960892i | ||||
\(95\) | 7.90777 | + | 13.6967i | 0.811320 | + | 1.40525i | ||||
\(96\) | 0.190145 | + | 0.109780i | 0.0194066 | + | 0.0112044i | ||||
\(97\) | 1.72108 | − | 0.993664i | 0.174749 | − | 0.100891i | −0.410074 | − | 0.912052i | \(-0.634497\pi\) |
0.584823 | + | 0.811161i | \(0.301164\pi\) | |||||||
\(98\) | 36.9897 | + | 21.3560i | 3.73652 | + | 2.15728i | ||||
\(99\) | −3.14192 | − | 1.81399i | −0.315775 | − | 0.182313i | ||||
\(100\) | 32.8498 | 3.28498 | ||||||||
\(101\) | 3.63150 | − | 6.28994i | 0.361348 | − | 0.625873i | −0.626835 | − | 0.779152i | \(-0.715650\pi\) |
0.988183 | + | 0.153279i | \(0.0489834\pi\) | |||||||
\(102\) | 11.5282i | 1.14147i | ||||||||
\(103\) | 0.616571 | + | 1.06793i | 0.0607525 | + | 0.105226i | 0.894802 | − | 0.446463i | \(-0.147317\pi\) |
−0.834049 | + | 0.551690i | \(0.813983\pi\) | |||||||
\(104\) | 14.4750 | + | 10.6164i | 1.41939 | + | 1.04102i | ||||
\(105\) | 7.14413 | − | 12.3740i | 0.697196 | − | 1.20758i | ||||
\(106\) | − | 19.5858i | − | 1.90235i | ||||||
\(107\) | 1.98589 | + | 3.43966i | 0.191983 | + | 0.332525i | 0.945907 | − | 0.324437i | \(-0.105175\pi\) |
−0.753924 | + | 0.656961i | \(0.771841\pi\) | |||||||
\(108\) | 8.61550 | + | 14.9225i | 0.829027 | + | 1.43592i | ||||
\(109\) | − | 0.960300i | − | 0.0919800i | −0.998942 | − | 0.0459900i | \(-0.985356\pi\) | ||
0.998942 | − | 0.0459900i | \(-0.0146442\pi\) | |||||||
\(110\) | − | 13.6669i | − | 1.30309i | ||||||
\(111\) | 4.79276 | + | 2.76710i | 0.454908 | + | 0.262641i | ||||
\(112\) | −17.8281 | − | 10.2930i | −1.68460 | − | 0.972601i | ||||
\(113\) | −4.64270 | + | 8.04139i | −0.436748 | + | 0.756470i | −0.997437 | − | 0.0715569i | \(-0.977203\pi\) |
0.560688 | + | 0.828027i | \(0.310537\pi\) | |||||||
\(114\) | −8.53815 | −0.799671 | ||||||||
\(115\) | 10.8004i | 1.00714i | ||||||||
\(116\) | 7.13934 | 0.662871 | ||||||||
\(117\) | 3.43171 | + | 7.80185i | 0.317261 | + | 0.721281i | ||||
\(118\) | 8.03764 | − | 13.9216i | 0.739924 | − | 1.28159i | ||||
\(119\) | − | 29.0799i | − | 2.66575i | ||||||
\(120\) | −7.20107 | + | 12.4726i | −0.657365 | + | 1.13859i | ||||
\(121\) | 8.64461 | 0.785874 | ||||||||
\(122\) | 2.32781i | 0.210750i | ||||||||
\(123\) | −5.27238 | + | 3.04401i | −0.475394 | + | 0.274469i | ||||
\(124\) | −9.31970 | − | 20.3978i | −0.836934 | − | 1.83178i | ||||
\(125\) | 11.4459i | 1.02376i | ||||||||
\(126\) | −14.3334 | − | 24.8262i | −1.27692 | − | 2.21169i | ||||
\(127\) | −2.79891 | − | 4.84785i | −0.248363 | − | 0.430177i | 0.714709 | − | 0.699422i | \(-0.246559\pi\) |
−0.963072 | + | 0.269245i | \(0.913226\pi\) | |||||||
\(128\) | −16.7632 | − | 9.67823i | −1.48167 | − | 0.855443i | ||||
\(129\) | −3.60731 | − | 6.24804i | −0.317606 | − | 0.550109i | ||||
\(130\) | −18.9889 | + | 25.8907i | −1.66544 | + | 2.27076i | ||||
\(131\) | −4.25828 | + | 7.37556i | −0.372048 | + | 0.644406i | −0.989880 | − | 0.141904i | \(-0.954678\pi\) |
0.617833 | + | 0.786310i | \(0.288011\pi\) | |||||||
\(132\) | 4.26963 | + | 2.46507i | 0.371624 | + | 0.214557i | ||||
\(133\) | 21.5374 | 1.86753 | ||||||||
\(134\) | −3.53843 | + | 6.12875i | −0.305674 | + | 0.529443i | ||||
\(135\) | −13.4377 | + | 7.75828i | −1.15654 | + | 0.667726i | ||||
\(136\) | 29.3116i | 2.51345i | ||||||||
\(137\) | −16.0060 | − | 9.24109i | −1.36749 | − | 0.789520i | −0.376881 | − | 0.926262i | \(-0.623004\pi\) |
−0.990607 | + | 0.136742i | \(0.956337\pi\) | |||||||
\(138\) | −5.04951 | − | 2.91533i | −0.429843 | − | 0.248170i | ||||
\(139\) | 6.91482 | + | 11.9768i | 0.586508 | + | 1.01586i | 0.994686 | + | 0.102959i | \(0.0328309\pi\) |
−0.408178 | + | 0.912902i | \(0.633836\pi\) | |||||||
\(140\) | 36.0799 | − | 62.4922i | 3.04931 | − | 5.28156i | ||||
\(141\) | 3.02631 | − | 1.74724i | 0.254862 | − | 0.147144i | ||||
\(142\) | 11.0931 | + | 19.2137i | 0.930908 | + | 1.61238i | ||||
\(143\) | 4.46208 | + | 3.27261i | 0.373138 | + | 0.273669i | ||||
\(144\) | 4.92618 | + | 8.53239i | 0.410515 | + | 0.711033i | ||||
\(145\) | 6.42900i | 0.533899i | ||||||||
\(146\) | 9.69205 | 0.802120 | ||||||||
\(147\) | −6.93738 | − | 12.0159i | −0.572185 | − | 0.991054i | ||||
\(148\) | 24.2048 | + | 13.9746i | 1.98962 | + | 1.14871i | ||||
\(149\) | 8.10887i | 0.664304i | 0.943226 | + | 0.332152i | \(0.107775\pi\) | ||||
−0.943226 | + | 0.332152i | \(0.892225\pi\) | |||||||
\(150\) | −13.8302 | − | 7.98487i | −1.12923 | − | 0.651962i | ||||
\(151\) | 8.90676i | 0.724822i | 0.932018 | + | 0.362411i | \(0.118046\pi\) | ||||
−0.932018 | + | 0.362411i | \(0.881954\pi\) | |||||||
\(152\) | −21.7091 | −1.76084 | ||||||||
\(153\) | −6.95871 | + | 12.0528i | −0.562578 | + | 0.974414i | ||||
\(154\) | −16.1179 | − | 9.30569i | −1.29882 | − | 0.749874i | ||||
\(155\) | 18.3683 | − | 8.39241i | 1.47538 | − | 0.674095i | ||||
\(156\) | −4.66343 | − | 10.6021i | −0.373373 | − | 0.848850i | ||||
\(157\) | −14.8634 | −1.18623 | −0.593116 | − | 0.805117i | \(-0.702102\pi\) | ||||
−0.593116 | + | 0.805117i | \(0.702102\pi\) | |||||||
\(158\) | 7.85476 | − | 4.53495i | 0.624891 | − | 0.360781i | ||||
\(159\) | −3.18118 | + | 5.50996i | −0.252284 | + | 0.436968i | ||||
\(160\) | −0.499258 | + | 0.864741i | −0.0394698 | + | 0.0683638i | ||||
\(161\) | 12.7373 | + | 7.35390i | 1.00384 | + | 0.579569i | ||||
\(162\) | 9.03470i | 0.709833i | ||||||||
\(163\) | −2.14032 | + | 1.23572i | −0.167643 | + | 0.0967887i | −0.581474 | − | 0.813565i | \(-0.697524\pi\) |
0.413831 | + | 0.910354i | \(0.364190\pi\) | |||||||
\(164\) | −26.6270 | + | 15.3731i | −2.07922 | + | 1.20044i | ||||
\(165\) | −2.21980 | + | 3.84481i | −0.172811 | + | 0.299318i | ||||
\(166\) | −5.42119 | −0.420766 | ||||||||
\(167\) | −4.17246 | + | 2.40897i | −0.322874 | + | 0.186412i | −0.652673 | − | 0.757640i | \(-0.726352\pi\) |
0.329799 | + | 0.944051i | \(0.393019\pi\) | |||||||
\(168\) | 9.80633 | + | 16.9851i | 0.756575 | + | 1.31043i | ||||
\(169\) | −3.90600 | − | 12.3993i | −0.300462 | − | 0.953794i | ||||
\(170\) | −52.4280 | −4.02105 | ||||||||
\(171\) | −8.92669 | − | 5.15383i | −0.682641 | − | 0.394123i | ||||
\(172\) | −18.2179 | − | 31.5544i | −1.38910 | − | 2.40600i | ||||
\(173\) | −5.01013 | + | 8.67780i | −0.380913 | + | 0.659761i | −0.991193 | − | 0.132425i | \(-0.957724\pi\) |
0.610280 | + | 0.792186i | \(0.291057\pi\) | |||||||
\(174\) | −3.00576 | − | 1.73537i | −0.227866 | − | 0.131558i | ||||
\(175\) | 34.8865 | + | 20.1418i | 2.63717 | + | 1.52257i | ||||
\(176\) | 5.53949 | + | 3.19823i | 0.417555 | + | 0.241075i | ||||
\(177\) | −4.52235 | + | 2.61098i | −0.339921 | + | 0.196253i | ||||
\(178\) | 19.7478 | + | 34.2042i | 1.48016 | + | 2.56371i | ||||
\(179\) | −2.02587 | − | 3.50890i | −0.151420 | − | 0.262268i | 0.780329 | − | 0.625369i | \(-0.215051\pi\) |
−0.931750 | + | 0.363101i | \(0.881718\pi\) | |||||||
\(180\) | −29.9083 | + | 17.2676i | −2.22924 | + | 1.28705i | ||||
\(181\) | 4.37524 | + | 7.57814i | 0.325209 | + | 0.563278i | 0.981555 | − | 0.191182i | \(-0.0612320\pi\) |
−0.656346 | + | 0.754460i | \(0.727899\pi\) | |||||||
\(182\) | 17.6045 | + | 40.0232i | 1.30494 | + | 2.96672i | ||||
\(183\) | 0.378088 | − | 0.654868i | 0.0279491 | − | 0.0484092i | ||||
\(184\) | −12.8389 | − | 7.41251i | −0.946493 | − | 0.546458i | ||||
\(185\) | −12.5842 | + | 21.7965i | −0.925209 | + | 1.60251i | ||||
\(186\) | −1.03442 | + | 10.8531i | −0.0758477 | + | 0.795788i | ||||
\(187\) | 9.03561i | 0.660749i | ||||||||
\(188\) | 15.2837 | − | 8.82408i | 1.11468 | − | 0.643562i | ||||
\(189\) | 21.1303i | 1.53700i | ||||||||
\(190\) | − | 38.8298i | − | 2.81701i | ||||||
\(191\) | −10.6273 | + | 18.4070i | −0.768962 | + | 1.33188i | 0.169165 | + | 0.985588i | \(0.445893\pi\) |
−0.938126 | + | 0.346293i | \(0.887440\pi\) | |||||||
\(192\) | 3.05449 | + | 5.29053i | 0.220439 | + | 0.381811i | ||||
\(193\) | 1.63268 | − | 0.942629i | 0.117523 | − | 0.0678519i | −0.440086 | − | 0.897956i | \(-0.645052\pi\) |
0.557609 | + | 0.830104i | \(0.311719\pi\) | |||||||
\(194\) | −4.87922 | −0.350308 | ||||||||
\(195\) | 9.54724 | − | 4.19943i | 0.683692 | − | 0.300727i | ||||
\(196\) | −35.0357 | − | 60.6837i | −2.50255 | − | 4.33455i | ||||
\(197\) | − | 4.27574i | − | 0.304634i | −0.988332 | − | 0.152317i | \(-0.951327\pi\) | ||
0.988332 | − | 0.152317i | \(-0.0486734\pi\) | |||||||
\(198\) | 4.45364 | + | 7.71393i | 0.316506 | + | 0.548205i | ||||
\(199\) | −1.26983 | + | 2.19941i | −0.0900159 | + | 0.155912i | −0.907518 | − | 0.420014i | \(-0.862025\pi\) |
0.817502 | + | 0.575926i | \(0.195358\pi\) | |||||||
\(200\) | −35.1646 | − | 20.3023i | −2.48651 | − | 1.43559i | ||||
\(201\) | 1.99089 | − | 1.14944i | 0.140427 | − | 0.0810753i | ||||
\(202\) | −15.4429 | + | 8.91594i | −1.08656 | + | 0.627323i | ||||
\(203\) | 7.58199 | + | 4.37746i | 0.532151 | + | 0.307238i | ||||
\(204\) | 9.45636 | − | 16.3789i | 0.662078 | − | 1.14675i | ||||
\(205\) | −13.8435 | − | 23.9777i | −0.966873 | − | 1.67467i | ||||
\(206\) | − | 3.02757i | − | 0.210941i | ||||||
\(207\) | −3.51952 | − | 6.09600i | −0.244624 | − | 0.423701i | ||||
\(208\) | −6.05041 | − | 13.7554i | −0.419521 | − | 0.953764i | ||||
\(209\) | −6.69204 | −0.462898 | ||||||||
\(210\) | −30.3802 | + | 17.5400i | −2.09643 | + | 1.21038i | ||||
\(211\) | 0.901731 | + | 1.56184i | 0.0620778 | + | 0.107522i | 0.895394 | − | 0.445275i | \(-0.146894\pi\) |
−0.833316 | + | 0.552797i | \(0.813561\pi\) | |||||||
\(212\) | −16.0658 | + | 27.8269i | −1.10341 | + | 1.91116i | ||||
\(213\) | − | 7.20703i | − | 0.493818i | ||||||
\(214\) | − | 9.75137i | − | 0.666590i | ||||||
\(215\) | 28.4148 | − | 16.4053i | 1.93787 | − | 1.11883i | ||||
\(216\) | − | 21.2987i | − | 1.44919i | ||||||
\(217\) | 2.60933 | − | 27.3769i | 0.177133 | − | 1.85846i | ||||
\(218\) | −1.17885 | + | 2.04182i | −0.0798416 | + | 0.138290i | ||||
\(219\) | −2.72660 | − | 1.57420i | −0.184247 | − | 0.106375i | ||||
\(220\) | −11.2106 | + | 19.4174i | −0.755821 | + | 1.30912i | ||||
\(221\) | 12.5542 | − | 17.1172i | 0.844486 | − | 1.15142i | ||||
\(222\) | −6.79369 | − | 11.7670i | −0.455963 | − | 0.789750i | ||||
\(223\) | −12.7421 | + | 7.35666i | −0.853275 | + | 0.492638i | −0.861754 | − | 0.507326i | \(-0.830634\pi\) |
0.00847962 | + | 0.999964i | \(0.497301\pi\) | |||||||
\(224\) | 0.679884 | + | 1.17759i | 0.0454267 | + | 0.0786813i | ||||
\(225\) | −9.63970 | − | 16.6965i | −0.642647 | − | 1.11310i | ||||
\(226\) | 19.7429 | − | 11.3986i | 1.31328 | − | 0.758223i | ||||
\(227\) | 15.0133 | + | 8.66795i | 0.996470 | + | 0.575312i | 0.907202 | − | 0.420696i | \(-0.138214\pi\) |
0.0892678 | + | 0.996008i | \(0.471547\pi\) | |||||||
\(228\) | 12.1307 | + | 7.00366i | 0.803375 | + | 0.463829i | ||||
\(229\) | 18.1120 | + | 10.4570i | 1.19688 | + | 0.691017i | 0.959858 | − | 0.280488i | \(-0.0904961\pi\) |
0.237020 | + | 0.971505i | \(0.423829\pi\) | |||||||
\(230\) | 13.2583 | − | 22.9641i | 0.874229 | − | 1.51421i | ||||
\(231\) | 3.02290 | + | 5.23582i | 0.198892 | + | 0.344492i | ||||
\(232\) | −7.64242 | − | 4.41235i | −0.501750 | − | 0.289685i | ||||
\(233\) | −2.59043 | −0.169705 | −0.0848524 | − | 0.996394i | \(-0.527042\pi\) | ||||
−0.0848524 | + | 0.996394i | \(0.527042\pi\) | |||||||
\(234\) | 2.28080 | − | 20.8013i | 0.149101 | − | 1.35982i | ||||
\(235\) | 7.94610 | + | 13.7631i | 0.518346 | + | 0.897802i | ||||
\(236\) | −22.8392 | + | 13.1862i | −1.48670 | + | 0.858348i | ||||
\(237\) | −2.94630 | −0.191383 | ||||||||
\(238\) | −35.6979 | + | 61.8307i | −2.31395 | + | 4.00789i | ||||
\(239\) | −4.16744 | + | 2.40607i | −0.269569 | + | 0.155636i | −0.628692 | − | 0.777655i | \(-0.716409\pi\) |
0.359123 | + | 0.933290i | \(0.383076\pi\) | |||||||
\(240\) | 10.4412 | − | 6.02824i | 0.673978 | − | 0.389121i | ||||
\(241\) | − | 14.4654i | − | 0.931799i | −0.884838 | − | 0.465899i | \(-0.845731\pi\) | ||
0.884838 | − | 0.465899i | \(-0.154269\pi\) | |||||||
\(242\) | −18.3805 | − | 10.6120i | −1.18154 | − | 0.682163i | ||||
\(243\) | 7.88440 | − | 13.6562i | 0.505784 | − | 0.876044i | ||||
\(244\) | 1.90945 | − | 3.30727i | 0.122240 | − | 0.211726i | ||||
\(245\) | 54.6458 | − | 31.5498i | 3.49119 | − | 2.01564i | ||||
\(246\) | 14.9471 | 0.952991 | ||||||||
\(247\) | 12.6775 | + | 9.29800i | 0.806648 | + | 0.591618i | ||||
\(248\) | −2.63012 | + | 27.5951i | −0.167013 | + | 1.75229i | ||||
\(249\) | 1.52511 | + | 0.880521i | 0.0966497 | + | 0.0558007i | ||||
\(250\) | 14.0508 | − | 24.3368i | 0.888653 | − | 1.53919i | ||||
\(251\) | 9.00164 | 0.568179 | 0.284089 | − | 0.958798i | \(-0.408309\pi\) | ||||
0.284089 | + | 0.958798i | \(0.408309\pi\) | |||||||
\(252\) | 47.0296i | 2.96259i | ||||||||
\(253\) | −3.95771 | − | 2.28498i | −0.248819 | − | 0.143656i | ||||
\(254\) | 13.7436i | 0.862348i | ||||||||
\(255\) | 14.7492 | + | 8.51548i | 0.923633 | + | 0.533260i | ||||
\(256\) | 16.1019 | + | 27.8894i | 1.00637 | + | 1.74309i | ||||
\(257\) | 19.5375 | 1.21872 | 0.609358 | − | 0.792895i | \(-0.291427\pi\) | ||||
0.609358 | + | 0.792895i | \(0.291427\pi\) | |||||||
\(258\) | 17.7131i | 1.10277i | ||||||||
\(259\) | 17.1370 | + | 29.6822i | 1.06484 | + | 1.84436i | ||||
\(260\) | 48.2163 | − | 21.2083i | 2.99025 | − | 1.31528i | ||||
\(261\) | −2.09502 | − | 3.62869i | −0.129679 | − | 0.224610i | ||||
\(262\) | 18.1082 | − | 10.4548i | 1.11873 | − | 0.645899i | ||||
\(263\) | −13.1603 | + | 22.7942i | −0.811496 | + | 1.40555i | 0.100321 | + | 0.994955i | \(0.468013\pi\) |
−0.911817 | + | 0.410597i | \(0.865320\pi\) | |||||||
\(264\) | −3.04700 | − | 5.27755i | −0.187530 | − | 0.324811i | ||||
\(265\) | −25.0582 | − | 14.4673i | −1.53931 | − | 0.888721i | ||||
\(266\) | −45.7936 | − | 26.4390i | −2.80779 | − | 1.62108i | ||||
\(267\) | − | 12.8299i | − | 0.785179i | ||||||
\(268\) | 10.0546 | − | 5.80500i | 0.614180 | − | 0.354597i | ||||
\(269\) | −8.44498 | + | 14.6271i | −0.514900 | + | 0.891832i | 0.484951 | + | 0.874541i | \(0.338837\pi\) |
−0.999851 | + | 0.0172909i | \(0.994496\pi\) | |||||||
\(270\) | 38.0957 | 2.31843 | ||||||||
\(271\) | 10.0033 | + | 5.77541i | 0.607657 | + | 0.350831i | 0.772048 | − | 0.635564i | \(-0.219232\pi\) |
−0.164391 | + | 0.986395i | \(0.552566\pi\) | |||||||
\(272\) | 12.2688 | − | 21.2503i | 0.743908 | − | 1.28849i | ||||
\(273\) | 1.54809 | − | 14.1188i | 0.0936948 | − | 0.854511i | ||||
\(274\) | 22.6884 | + | 39.2975i | 1.37066 | + | 2.37405i | ||||
\(275\) | −10.8398 | − | 6.25839i | −0.653667 | − | 0.377395i | ||||
\(276\) | 4.78277 | + | 8.28400i | 0.287889 | + | 0.498638i | ||||
\(277\) | −8.13062 | − | 14.0826i | −0.488521 | − | 0.846144i | 0.511391 | − | 0.859348i | \(-0.329130\pi\) |
−0.999913 | + | 0.0132041i | \(0.995797\pi\) | |||||||
\(278\) | − | 33.9541i | − | 2.03643i | ||||||
\(279\) | −7.63268 | + | 10.7226i | −0.456957 | + | 0.641944i | ||||
\(280\) | −77.2446 | + | 44.5972i | −4.61625 | + | 2.66519i | ||||
\(281\) | 0.767274i | 0.0457717i | 0.999738 | + | 0.0228859i | \(0.00728543\pi\) | ||||
−0.999738 | + | 0.0228859i | \(0.992715\pi\) | |||||||
\(282\) | −8.57954 | −0.510904 | ||||||||
\(283\) | −13.3783 | + | 23.1719i | −0.795259 | + | 1.37743i | 0.127415 | + | 0.991849i | \(0.459332\pi\) |
−0.922675 | + | 0.385580i | \(0.874001\pi\) | |||||||
\(284\) | − | 36.3976i | − | 2.15980i | ||||||
\(285\) | −6.30681 | + | 10.9237i | −0.373583 | + | 0.647066i | ||||
\(286\) | −5.47003 | − | 12.4359i | −0.323450 | − | 0.735350i | ||||
\(287\) | −37.7039 | −2.22559 | ||||||||
\(288\) | − | 0.650775i | − | 0.0383473i | ||||||
\(289\) | 17.6619 | 1.03893 | ||||||||
\(290\) | 7.89212 | − | 13.6696i | 0.463441 | − | 0.802704i | ||||
\(291\) | 1.37264 | + | 0.792494i | 0.0804656 | + | 0.0464568i | ||||
\(292\) | −13.7701 | − | 7.95018i | −0.805835 | − | 0.465249i | ||||
\(293\) | 7.32664i | 0.428027i | 0.976831 | + | 0.214013i | \(0.0686537\pi\) | ||||
−0.976831 | + | 0.214013i | \(0.931346\pi\) | |||||||
\(294\) | 34.0648i | 1.98670i | ||||||||
\(295\) | −11.8742 | − | 20.5667i | −0.691343 | − | 1.19744i | ||||
\(296\) | −17.2736 | − | 29.9188i | −1.00401 | − | 1.73899i | ||||
\(297\) | − | 6.56553i | − | 0.380971i | ||||||
\(298\) | 9.95431 | − | 17.2414i | 0.576638 | − | 0.998766i | ||||
\(299\) | 4.32274 | + | 9.82758i | 0.249990 | + | 0.568343i | ||||
\(300\) | 13.0996 | + | 22.6892i | 0.756307 | + | 1.30996i | ||||
\(301\) | − | 44.6811i | − | 2.57537i | ||||||
\(302\) | 10.9338 | − | 18.9379i | 0.629169 | − | 1.08975i | ||||
\(303\) | 5.79258 | 0.332775 | ||||||||
\(304\) | 15.7386 | + | 9.08667i | 0.902669 | + | 0.521156i | ||||
\(305\) | 2.97820 | + | 1.71947i | 0.170531 | + | 0.0984564i | ||||
\(306\) | 29.5917 | − | 17.0848i | 1.69165 | − | 0.976672i | ||||
\(307\) | −15.4430 | − | 8.91601i | −0.881378 | − | 0.508864i | −0.0102654 | − | 0.999947i | \(-0.503268\pi\) |
−0.871112 | + | 0.491084i | \(0.836601\pi\) | |||||||
\(308\) | 15.2665 | + | 26.4424i | 0.869891 | + | 1.50669i | ||||
\(309\) | −0.491744 | + | 0.851726i | −0.0279743 | + | 0.0484530i | ||||
\(310\) | −49.3577 | − | 4.70435i | −2.80333 | − | 0.267189i | ||||
\(311\) | −11.0665 | −0.627525 | −0.313762 | − | 0.949502i | \(-0.601590\pi\) | ||||
−0.313762 | + | 0.949502i | \(0.601590\pi\) | |||||||
\(312\) | −1.56043 | + | 14.2314i | −0.0883420 | + | 0.805693i | ||||
\(313\) | −8.90128 | + | 15.4175i | −0.503130 | + | 0.871446i | 0.496864 | + | 0.867829i | \(0.334485\pi\) |
−0.999993 | + | 0.00361777i | \(0.998848\pi\) | |||||||
\(314\) | 31.6032 | + | 18.2461i | 1.78347 | + | 1.02969i | ||||
\(315\) | −42.3502 | −2.38617 | ||||||||
\(316\) | −14.8797 | −0.837047 | ||||||||
\(317\) | 27.4362 | + | 15.8403i | 1.54097 | + | 0.889678i | 0.998778 | + | 0.0494223i | \(0.0157380\pi\) |
0.542190 | + | 0.840256i | \(0.317595\pi\) | |||||||
\(318\) | 13.5279 | − | 7.81031i | 0.758605 | − | 0.437981i | ||||
\(319\) | −2.35585 | − | 1.36015i | −0.131903 | − | 0.0761540i | ||||
\(320\) | −24.0603 | + | 13.8912i | −1.34501 | + | 0.776541i | ||||
\(321\) | −1.58384 | + | 2.74329i | −0.0884013 | + | 0.153116i | ||||
\(322\) | −18.0550 | − | 31.2723i | −1.00617 | − | 1.74273i | ||||
\(323\) | 25.6716i | 1.42841i | ||||||||
\(324\) | 7.41097 | − | 12.8362i | 0.411720 | − | 0.713121i | ||||
\(325\) | 11.8396 | + | 26.9170i | 0.656745 | + | 1.49308i | ||||
\(326\) | 6.06777 | 0.336063 | ||||||||
\(327\) | 0.663275 | − | 0.382942i | 0.0366792 | − | 0.0211767i | ||||
\(328\) | 38.0044 | 2.09844 | ||||||||
\(329\) | 21.6418 | 1.19315 | ||||||||
\(330\) | 9.43965 | − | 5.44999i | 0.519636 | − | 0.300012i | ||||
\(331\) | −23.4880 | − | 13.5608i | −1.29102 | − | 0.745370i | −0.312184 | − | 0.950022i | \(-0.601061\pi\) |
−0.978835 | + | 0.204652i | \(0.934394\pi\) | |||||||
\(332\) | 7.70223 | + | 4.44688i | 0.422715 | + | 0.244054i | ||||
\(333\) | − | 16.4033i | − | 0.898896i | ||||||
\(334\) | 11.8288 | 0.647245 | ||||||||
\(335\) | 5.22742 | + | 9.05415i | 0.285604 | + | 0.494681i | ||||
\(336\) | − | 16.4184i | − | 0.895695i | ||||||
\(337\) | 0.382064 | 0.0208124 | 0.0104062 | − | 0.999946i | \(-0.496688\pi\) | ||||
0.0104062 | + | 0.999946i | \(0.496688\pi\) | |||||||
\(338\) | −6.91611 | + | 31.1588i | −0.376187 | + | 1.69482i | ||||
\(339\) | −7.40553 | −0.402213 | ||||||||
\(340\) | 74.4879 | + | 43.0056i | 4.03967 | + | 2.33231i | ||||
\(341\) | −0.810762 | + | 8.50646i | −0.0439052 | + | 0.460650i | ||||
\(342\) | 12.6535 | + | 21.9165i | 0.684223 | + | 1.18511i | ||||
\(343\) | − | 51.3530i | − | 2.77280i | ||||||
\(344\) | 45.0372i | 2.42824i | ||||||||
\(345\) | −7.45976 | + | 4.30690i | −0.401620 | + | 0.231875i | ||||
\(346\) | 21.3054 | − | 12.3007i | 1.14539 | − | 0.661290i | ||||
\(347\) | 14.0482 | 0.754148 | 0.377074 | − | 0.926183i | \(-0.376930\pi\) | ||||
0.377074 | + | 0.926183i | \(0.376930\pi\) | |||||||
\(348\) | 2.84698 | + | 4.93111i | 0.152614 | + | 0.264335i | ||||
\(349\) | 5.51745 | + | 3.18550i | 0.295342 | + | 0.170516i | 0.640349 | − | 0.768084i | \(-0.278790\pi\) |
−0.345006 | + | 0.938600i | \(0.612123\pi\) | |||||||
\(350\) | −49.4513 | − | 85.6522i | −2.64329 | − | 4.57830i | ||||
\(351\) | −9.12222 | + | 12.4378i | −0.486908 | + | 0.663881i | ||||
\(352\) | −0.211252 | − | 0.365899i | −0.0112597 | − | 0.0195025i | ||||
\(353\) | −7.77461 | + | 4.48867i | −0.413801 | + | 0.238908i | −0.692422 | − | 0.721493i | \(-0.743456\pi\) |
0.278621 | + | 0.960401i | \(0.410123\pi\) | |||||||
\(354\) | 12.8208 | 0.681417 | ||||||||
\(355\) | 32.7761 | 1.73957 | ||||||||
\(356\) | − | 64.7948i | − | 3.43412i | ||||||
\(357\) | 20.0853 | − | 11.5963i | 1.06303 | − | 0.613740i | ||||
\(358\) | 9.94768i | 0.525751i | ||||||||
\(359\) | −11.3769 | + | 6.56844i | −0.600448 | + | 0.346669i | −0.769218 | − | 0.638986i | \(-0.779354\pi\) |
0.168770 | + | 0.985656i | \(0.446021\pi\) | |||||||
\(360\) | 42.6878 | 2.24984 | ||||||||
\(361\) | −0.0131565 | −0.000692446 | ||||||||
\(362\) | − | 21.4839i | − | 1.12917i | ||||||
\(363\) | 3.44724 | + | 5.97079i | 0.180933 | + | 0.313385i | ||||
\(364\) | 7.81831 | − | 71.3042i | 0.409791 | − | 3.73736i | ||||
\(365\) | 7.15915 | − | 12.4000i | 0.374727 | − | 0.649047i | ||||
\(366\) | −1.60781 | + | 0.928269i | −0.0840415 | + | 0.0485214i | ||||
\(367\) | −34.3691 | −1.79406 | −0.897028 | − | 0.441975i | \(-0.854278\pi\) | ||||
−0.897028 | + | 0.441975i | \(0.854278\pi\) | |||||||
\(368\) | 6.20524 | + | 10.7478i | 0.323471 | + | 0.560268i | ||||
\(369\) | 15.6273 | + | 9.02240i | 0.813523 | + | 0.469688i | ||||
\(370\) | 53.5140 | − | 30.8963i | 2.78206 | − | 1.60622i | ||||
\(371\) | −34.1239 | + | 19.7014i | −1.77162 | + | 1.02285i | ||||
\(372\) | 10.3722 | − | 14.5712i | 0.537776 | − | 0.755481i | ||||
\(373\) | −13.2569 | − | 22.9616i | −0.686415 | − | 1.18891i | −0.972990 | − | 0.230848i | \(-0.925850\pi\) |
0.286574 | − | 0.958058i | \(-0.407483\pi\) | |||||||
\(374\) | 11.0920 | − | 19.2118i | 0.573552 | − | 0.993421i | ||||
\(375\) | −7.90566 | + | 4.56434i | −0.408247 | + | 0.235701i | ||||
\(376\) | −21.8143 | −1.12499 | ||||||||
\(377\) | 2.57314 | + | 5.84994i | 0.132524 | + | 0.301287i | ||||
\(378\) | 25.9391 | − | 44.9279i | 1.33417 | − | 2.31084i | ||||
\(379\) | −1.89002 | + | 1.09120i | −0.0970836 | + | 0.0560513i | −0.547756 | − | 0.836638i | \(-0.684518\pi\) |
0.450672 | + | 0.892690i | \(0.351184\pi\) | |||||||
\(380\) | −31.8512 | + | 55.1679i | −1.63393 | + | 2.83005i | ||||
\(381\) | 2.23226 | − | 3.86639i | 0.114362 | − | 0.198081i | ||||
\(382\) | 45.1921 | − | 26.0917i | 2.31223 | − | 1.33497i | ||||
\(383\) | −9.64561 | − | 5.56890i | −0.492868 | − | 0.284557i | 0.232896 | − | 0.972502i | \(-0.425180\pi\) |
−0.725763 | + | 0.687944i | \(0.758513\pi\) | |||||||
\(384\) | − | 15.4377i | − | 0.787801i | ||||||
\(385\) | −23.8114 | + | 13.7475i | −1.21354 | + | 0.700639i | ||||
\(386\) | −4.62862 | −0.235591 | ||||||||
\(387\) | −10.6920 | + | 18.5191i | −0.543506 | + | 0.941380i | ||||
\(388\) | 6.93222 | + | 4.00232i | 0.351930 | + | 0.203187i | ||||
\(389\) | −5.81542 | + | 10.0726i | −0.294853 | + | 0.510701i | −0.974951 | − | 0.222421i | \(-0.928604\pi\) |
0.680097 | + | 0.733122i | \(0.261937\pi\) | |||||||
\(390\) | −25.4548 | − | 2.79105i | −1.28896 | − | 0.141330i | ||||
\(391\) | −8.76551 | + | 15.1823i | −0.443291 | + | 0.767803i | ||||
\(392\) | 86.6131i | 4.37462i | ||||||||
\(393\) | −6.79236 | −0.342629 | ||||||||
\(394\) | −5.24882 | + | 9.09123i | −0.264432 | + | 0.458009i | ||||
\(395\) | − | 13.3992i | − | 0.674186i | ||||||
\(396\) | − | 14.6129i | − | 0.734326i | ||||||
\(397\) | − | 10.8654i | − | 0.545320i | −0.962110 | − | 0.272660i | \(-0.912097\pi\) | ||
0.962110 | − | 0.272660i | \(-0.0879035\pi\) | |||||||
\(398\) | 5.39992 | − | 3.11764i | 0.270673 | − | 0.156273i | ||||
\(399\) | 8.58855 | + | 14.8758i | 0.429965 | + | 0.744721i | ||||
\(400\) | 16.9957 | + | 29.4374i | 0.849784 | + | 1.47187i | ||||
\(401\) | −0.281911 | − | 0.162761i | −0.0140780 | − | 0.00812791i | 0.492945 | − | 0.870061i | \(-0.335921\pi\) |
−0.507022 | + | 0.861933i | \(0.669254\pi\) | |||||||
\(402\) | −5.64413 | −0.281504 | ||||||||
\(403\) | 13.3549 | − | 14.9882i | 0.665254 | − | 0.746617i | ||||
\(404\) | 29.2542 | 1.45545 | ||||||||
\(405\) | 11.5590 | + | 6.67359i | 0.574371 | + | 0.331613i | ||||
\(406\) | −10.7474 | − | 18.6150i | −0.533385 | − | 0.923849i | ||||
\(407\) | −5.32476 | − | 9.22276i | −0.263939 | − | 0.457155i | ||||
\(408\) | −20.2454 | + | 11.6887i | −1.00230 | + | 0.578677i | ||||
\(409\) | − | 22.4371i | − | 1.10944i | −0.832035 | − | 0.554722i | \(-0.812824\pi\) | ||
0.832035 | − | 0.554722i | \(-0.187176\pi\) | |||||||
\(410\) | 67.9763i | 3.35711i | ||||||||
\(411\) | − | 14.7404i | − | 0.727090i | ||||||
\(412\) | −2.48345 | + | 4.30146i | −0.122351 | + | 0.211918i | ||||
\(413\) | −32.3403 | −1.59136 | ||||||||
\(414\) | 17.2820i | 0.849366i | ||||||||
\(415\) | −4.00443 | + | 6.93587i | −0.196570 | + | 0.340469i | ||||
\(416\) | −0.108186 | + | 0.986677i | −0.00530428 | + | 0.0483758i | ||||
\(417\) | −5.51489 | + | 9.55208i | −0.270066 | + | 0.467767i | ||||
\(418\) | 14.2289 | + | 8.21504i | 0.695956 | + | 0.401811i | ||||
\(419\) | 18.4900 | − | 32.0256i | 0.903296 | − | 1.56456i | 0.0801086 | − | 0.996786i | \(-0.474473\pi\) |
0.823188 | − | 0.567769i | \(-0.192193\pi\) | |||||||
\(420\) | 57.5508 | 2.80819 | ||||||||
\(421\) | 7.45593 | − | 4.30468i | 0.363380 | − | 0.209797i | −0.307183 | − | 0.951651i | \(-0.599386\pi\) |
0.670562 | + | 0.741853i | \(0.266053\pi\) | |||||||
\(422\) | − | 4.42780i | − | 0.215542i | ||||||
\(423\) | −8.96996 | − | 5.17881i | −0.436134 | − | 0.251802i | ||||
\(424\) | 34.3959 | − | 19.8585i | 1.67041 | − | 0.964412i | ||||
\(425\) | −24.0080 | + | 41.5832i | −1.16456 | + | 2.01708i | ||||
\(426\) | −8.84723 | + | 15.3238i | −0.428650 | + | 0.742443i | ||||
\(427\) | 4.05568 | − | 2.34155i | 0.196268 | − | 0.113316i | ||||
\(428\) | −7.99884 | + | 13.8544i | −0.386639 | + | 0.669678i | ||||
\(429\) | −0.481019 | + | 4.38697i | −0.0232238 | + | 0.211805i | ||||
\(430\) | −80.5554 | −3.88473 | ||||||||
\(431\) | −18.4769 | + | 10.6677i | −0.890003 | + | 0.513843i | −0.873943 | − | 0.486028i | \(-0.838445\pi\) |
−0.0160592 | + | 0.999871i | \(0.505112\pi\) | |||||||
\(432\) | −8.91489 | + | 15.4410i | −0.428918 | + | 0.742907i | ||||
\(433\) | −20.5856 | − | 35.6553i | −0.989280 | − | 1.71348i | −0.621109 | − | 0.783724i | \(-0.713318\pi\) |
−0.368171 | − | 0.929758i | \(-0.620016\pi\) | |||||||
\(434\) | −39.1554 | + | 55.0065i | −1.87952 | + | 2.64040i | ||||
\(435\) | −4.44048 | + | 2.56371i | −0.212905 | + | 0.122921i | ||||
\(436\) | 3.34973 | − | 1.93397i | 0.160423 | − | 0.0926202i | ||||
\(437\) | −11.2445 | − | 6.49200i | −0.537896 | − | 0.310554i | ||||
\(438\) | 3.86493 | + | 6.69426i | 0.184674 | + | 0.319864i | ||||
\(439\) | 17.9590 | 0.857136 | 0.428568 | − | 0.903509i | \(-0.359018\pi\) | ||||
0.428568 | + | 0.903509i | \(0.359018\pi\) | |||||||
\(440\) | 24.0012 | − | 13.8571i | 1.14421 | − | 0.660612i | ||||
\(441\) | −20.5623 | + | 35.6150i | −0.979158 | + | 1.69595i | ||||
\(442\) | −47.7059 | + | 20.9838i | −2.26914 | + | 0.998098i | ||||
\(443\) | 8.10825 | + | 14.0439i | 0.385235 | + | 0.667246i | 0.991802 | − | 0.127786i | \(-0.0407872\pi\) |
−0.606567 | + | 0.795032i | \(0.707454\pi\) | |||||||
\(444\) | 22.2909i | 1.05788i | ||||||||
\(445\) | 58.3479 | 2.76596 | ||||||||
\(446\) | 36.1236 | 1.71050 | ||||||||
\(447\) | −5.60076 | + | 3.23360i | −0.264907 | + | 0.152944i | ||||
\(448\) | 37.8337i | 1.78748i | ||||||||
\(449\) | 33.2956 | − | 19.2232i | 1.57131 | − | 0.907199i | 0.575306 | − | 0.817938i | \(-0.304883\pi\) |
0.996008 | − | 0.0892605i | \(-0.0284504\pi\) | |||||||
\(450\) | 47.3341i | 2.23135i | ||||||||
\(451\) | 11.7152 | 0.551649 | ||||||||
\(452\) | −37.4001 | −1.75915 | ||||||||
\(453\) | −6.15186 | + | 3.55178i | −0.289040 | + | 0.166877i | ||||
\(454\) | −21.2813 | − | 36.8602i | −0.998779 | − | 1.72994i | ||||
\(455\) | 64.2096 | + | 7.04040i | 3.01019 | + | 0.330059i | ||||
\(456\) | −8.65700 | − | 14.9944i | −0.405401 | − | 0.702175i | ||||
\(457\) | −6.59766 | − | 3.80916i | −0.308626 | − | 0.178185i | 0.337686 | − | 0.941259i | \(-0.390356\pi\) |
−0.646311 | + | 0.763074i | \(0.723689\pi\) | |||||||
\(458\) | −25.6736 | − | 44.4681i | −1.19965 | − | 2.07786i | ||||
\(459\) | −25.1863 | −1.17560 | ||||||||
\(460\) | −37.6739 | + | 21.7511i | −1.75656 | + | 1.01415i | ||||
\(461\) | 28.1627 | − | 16.2597i | 1.31167 | − | 0.757291i | 0.329295 | − | 0.944227i | \(-0.393189\pi\) |
0.982372 | + | 0.186936i | \(0.0598557\pi\) | |||||||
\(462\) | − | 14.8435i | − | 0.690580i | ||||||
\(463\) | 25.7935i | 1.19873i | 0.800477 | + | 0.599363i | \(0.204579\pi\) | ||||
−0.800477 | + | 0.599363i | \(0.795421\pi\) | |||||||
\(464\) | 3.69372 | + | 6.39771i | 0.171477 | + | 0.297006i | ||||
\(465\) | 13.1214 | + | 9.34023i | 0.608490 | + | 0.433143i | ||||
\(466\) | 5.50787 | + | 3.17997i | 0.255147 | + | 0.147309i | ||||
\(467\) | −3.62846 | −0.167905 | −0.0839525 | − | 0.996470i | \(-0.526754\pi\) | ||||
−0.0839525 | + | 0.996470i | \(0.526754\pi\) | |||||||
\(468\) | −20.3033 | + | 27.6828i | −0.938521 | + | 1.27964i | ||||
\(469\) | 14.2373 | 0.657416 | ||||||||
\(470\) | − | 39.0180i | − | 1.79977i | ||||||
\(471\) | −5.92714 | − | 10.2661i | −0.273108 | − | 0.473038i | ||||
\(472\) | 32.5981 | 1.50045 | ||||||||
\(473\) | 13.8832i | 0.638349i | ||||||||
\(474\) | 6.26454 | + | 3.61683i | 0.287740 | + | 0.166127i | ||||
\(475\) | −30.7977 | − | 17.7811i | −1.41310 | − | 0.815852i | ||||
\(476\) | 101.437 | − | 58.5645i | 4.64934 | − | 2.68430i | ||||
\(477\) | 18.8579 | 0.863446 | ||||||||
\(478\) | 11.8146 | 0.540388 | ||||||||
\(479\) | −15.8080 | + | 9.12675i | −0.722286 | + | 0.417012i | −0.815593 | − | 0.578625i | \(-0.803589\pi\) |
0.0933076 | + | 0.995637i | \(0.470256\pi\) | |||||||
\(480\) | −0.796364 | −0.0363489 | ||||||||
\(481\) | −2.72692 | + | 24.8700i | −0.124337 | + | 1.13397i | ||||
\(482\) | −17.7575 | + | 30.7569i | −0.808831 | + | 1.40094i | ||||
\(483\) | 11.7302i | 0.533741i | ||||||||
\(484\) | 17.4095 | + | 30.1542i | 0.791343 | + | 1.37065i | ||||
\(485\) | −3.60410 | + | 6.24248i | −0.163654 | + | 0.283456i | ||||
\(486\) | −33.5282 | + | 19.3575i | −1.52087 | + | 0.878074i | ||||
\(487\) | 13.0341 | + | 7.52527i | 0.590633 | + | 0.341002i | 0.765348 | − | 0.643617i | \(-0.222567\pi\) |
−0.174714 | + | 0.984619i | \(0.555900\pi\) | |||||||
\(488\) | −4.08801 | + | 2.36021i | −0.185055 | + | 0.106842i | ||||
\(489\) | −1.70701 | − | 0.985541i | −0.0771935 | − | 0.0445677i | ||||
\(490\) | −154.920 | −6.99856 | ||||||||
\(491\) | −12.3527 | −0.557470 | −0.278735 | − | 0.960368i | \(-0.589915\pi\) | ||||
−0.278735 | + | 0.960368i | \(0.589915\pi\) | |||||||
\(492\) | −21.2363 | − | 12.2608i | −0.957405 | − | 0.552758i | ||||
\(493\) | −5.21774 | + | 9.03739i | −0.234995 | + | 0.407023i | ||||
\(494\) | −15.5412 | − | 35.3324i | −0.699233 | − | 1.58968i | ||||
\(495\) | 13.1589 | 0.591451 | ||||||||
\(496\) | 13.4571 | − | 18.9049i | 0.604242 | − | 0.848855i | ||||
\(497\) | 22.3170 | − | 38.6543i | 1.00106 | − | 1.73388i | ||||
\(498\) | −2.16182 | − | 3.74439i | −0.0968737 | − | 0.167790i | ||||
\(499\) | −8.44899 | − | 4.87803i | −0.378229 | − | 0.218370i | 0.298819 | − | 0.954310i | \(-0.403407\pi\) |
−0.677047 | + | 0.735939i | \(0.736741\pi\) | |||||||
\(500\) | −39.9259 | + | 23.0512i | −1.78554 | + | 1.03088i | ||||
\(501\) | −3.32773 | − | 1.92126i | −0.148672 | − | 0.0858358i | ||||
\(502\) | −19.1396 | − | 11.0503i | −0.854243 | − | 0.493197i | ||||
\(503\) | 25.1551 | 1.12161 | 0.560806 | − | 0.827947i | \(-0.310491\pi\) | ||||
0.560806 | + | 0.827947i | \(0.310491\pi\) | |||||||
\(504\) | 29.0659 | − | 50.3436i | 1.29470 | − | 2.24248i | ||||
\(505\) | 26.3435i | 1.17227i | ||||||||
\(506\) | 5.61001 | + | 9.71682i | 0.249395 | + | 0.431966i | ||||
\(507\) | 7.00655 | − | 7.64238i | 0.311172 | − | 0.339410i | ||||
\(508\) | 11.2735 | − | 19.5264i | 0.500183 | − | 0.866342i | ||||
\(509\) | − | 19.1356i | − | 0.848171i | −0.905622 | − | 0.424086i | \(-0.860596\pi\) | ||
0.905622 | − | 0.424086i | \(-0.139404\pi\) | |||||||
\(510\) | −20.9069 | − | 36.2118i | −0.925773 | − | 1.60349i | ||||
\(511\) | −9.74925 | − | 16.8862i | −0.431281 | − | 0.747001i | ||||
\(512\) | − | 40.3530i | − | 1.78337i | ||||||
\(513\) | − | 18.6537i | − | 0.823582i | ||||||
\(514\) | −41.5413 | − | 23.9839i | −1.83231 | − | 1.05788i | ||||
\(515\) | −3.87347 | − | 2.23635i | −0.170686 | − | 0.0985454i | ||||
\(516\) | 14.5297 | − | 25.1661i | 0.639632 | − | 1.10788i | ||||
\(517\) | −6.72448 | −0.295742 | ||||||||
\(518\) | − | 84.1484i | − | 3.69727i | ||||||
\(519\) | −7.99163 | −0.350793 | ||||||||
\(520\) | −64.7214 | − | 7.09652i | −2.83822 | − | 0.311203i | ||||
\(521\) | 4.63805 | − | 8.03334i | 0.203197 | − | 0.351947i | −0.746360 | − | 0.665543i | \(-0.768200\pi\) |
0.949557 | + | 0.313595i | \(0.101534\pi\) | |||||||
\(522\) | 10.2873i | 0.450261i | ||||||||
\(523\) | −15.1155 | + | 26.1808i | −0.660954 | + | 1.14481i | 0.319411 | + | 0.947616i | \(0.396515\pi\) |
−0.980365 | + | 0.197190i | \(0.936818\pi\) | |||||||
\(524\) | −34.3033 | −1.49855 | ||||||||
\(525\) | 32.1280i | 1.40218i | ||||||||
\(526\) | 55.9636 | − | 32.3106i | 2.44013 | − | 1.40881i | ||||
\(527\) | 32.6320 | + | 3.11020i | 1.42147 | + | 0.135482i | ||||
\(528\) | 5.10147i | 0.222013i | ||||||||
\(529\) | 7.06664 | + | 12.2398i | 0.307245 | + | 0.532164i | ||||
\(530\) | 35.5197 | + | 61.5219i | 1.54288 | + | 2.67234i | ||||
\(531\) | 13.4042 | + | 7.73892i | 0.581693 | + | 0.335840i | ||||
\(532\) | 43.3746 | + | 75.1270i | 1.88053 | + | 3.25717i | ||||
\(533\) | −22.1935 | − | 16.2773i | −0.961306 | − | 0.705048i | ||||
\(534\) | −15.7498 | + | 27.2795i | −0.681561 | + | 1.18050i | ||||
\(535\) | −12.4759 | − | 7.20298i | −0.539381 | − | 0.311412i | ||||
\(536\) | −14.3507 | −0.619858 | ||||||||
\(537\) | 1.61572 | − | 2.79851i | 0.0697236 | − | 0.120765i | ||||
\(538\) | 35.9120 | − | 20.7338i | 1.54828 | − | 0.893899i | ||||
\(539\) | 26.6994i | 1.15002i | ||||||||
\(540\) | −54.1250 | − | 31.2491i | −2.32917 | − | 1.34475i | ||||
\(541\) | 31.4261 | + | 18.1439i | 1.35111 | + | 0.780065i | 0.988405 | − | 0.151838i | \(-0.0485191\pi\) |
0.362707 | + | 0.931903i | \(0.381852\pi\) | |||||||
\(542\) | −14.1796 | − | 24.5598i | −0.609065 | − | 1.05493i | ||||
\(543\) | −3.48946 | + | 6.04392i | −0.149747 | + | 0.259369i | ||||
\(544\) | −1.40364 | + | 0.810391i | −0.0601805 | + | 0.0347452i | ||||
\(545\) | 1.74154 | + | 3.01644i | 0.0745994 | + | 0.129210i | ||||
\(546\) | −20.6237 | + | 28.1196i | −0.882611 | + | 1.20341i | ||||
\(547\) | −3.33533 | − | 5.77696i | −0.142608 | − | 0.247005i | 0.785870 | − | 0.618392i | \(-0.212216\pi\) |
−0.928478 | + | 0.371387i | \(0.878882\pi\) | |||||||
\(548\) | − | 74.4432i | − | 3.18006i | ||||||
\(549\) | −2.24130 | −0.0956563 | ||||||||
\(550\) | 15.3654 | + | 26.6136i | 0.655182 | + | 1.13481i | ||||
\(551\) | −6.69336 | − | 3.86441i | −0.285147 | − | 0.164629i | ||||
\(552\) | − | 11.8237i | − | 0.503248i | ||||||
\(553\) | −15.8022 | − | 9.12343i | −0.671980 | − | 0.387968i | ||||
\(554\) | 39.9240i | 1.69621i | ||||||||
\(555\) | −20.0730 | −0.852050 | ||||||||
\(556\) | −27.8518 | + | 48.2407i | −1.18118 | + | 2.04586i | ||||
\(557\) | 2.27566 | + | 1.31385i | 0.0964228 | + | 0.0556697i | 0.547436 | − | 0.836848i | \(-0.315604\pi\) |
−0.451013 | + | 0.892517i | \(0.648937\pi\) | |||||||
\(558\) | 29.3917 | − | 13.4290i | 1.24425 | − | 0.568494i | ||||
\(559\) | 19.2894 | − | 26.3004i | 0.815856 | − | 1.11239i | ||||
\(560\) | 74.6674 | 3.15527 | ||||||||
\(561\) | −6.24086 | + | 3.60316i | −0.263489 | + | 0.152126i | ||||
\(562\) | 0.941892 | − | 1.63140i | 0.0397313 | − | 0.0688167i | ||||
\(563\) | −9.14493 | + | 15.8395i | −0.385413 | + | 0.667555i | −0.991826 | − | 0.127595i | \(-0.959274\pi\) |
0.606413 | + | 0.795150i | \(0.292608\pi\) | |||||||
\(564\) | 12.1895 | + | 7.03761i | 0.513271 | + | 0.296337i | ||||
\(565\) | − | 33.6788i | − | 1.41688i | ||||||
\(566\) | 56.8910 | − | 32.8460i | 2.39131 | − | 1.38062i | ||||
\(567\) | 15.7409 | − | 9.08802i | 0.661056 | − | 0.381661i | ||||
\(568\) | −22.4949 | + | 38.9623i | −0.943866 | + | 1.63482i | ||||
\(569\) | −29.9439 | −1.25531 | −0.627656 | − | 0.778491i | \(-0.715985\pi\) | ||||
−0.627656 | + | 0.778491i | \(0.715985\pi\) | |||||||
\(570\) | 26.8196 | − | 15.4843i | 1.12335 | − | 0.648565i | ||||
\(571\) | −3.79275 | − | 6.56924i | −0.158722 | − | 0.274914i | 0.775686 | − | 0.631119i | \(-0.217404\pi\) |
−0.934408 | + | 0.356205i | \(0.884071\pi\) | |||||||
\(572\) | −2.42928 | + | 22.1554i | −0.101573 | + | 0.926365i | ||||
\(573\) | −16.9515 | −0.708158 | ||||||||
\(574\) | 80.1673 | + | 46.2846i | 3.34612 | + | 1.93188i | ||||
\(575\) | −12.1426 | − | 21.0316i | −0.506382 | − | 0.877080i | ||||
\(576\) | 9.05348 | − | 15.6811i | 0.377228 | − | 0.653378i | ||||
\(577\) | 21.3145 | + | 12.3059i | 0.887335 | + | 0.512303i | 0.873070 | − | 0.487595i | \(-0.162126\pi\) |
0.0142653 | + | 0.999898i | \(0.495459\pi\) | |||||||
\(578\) | −37.5533 | − | 21.6814i | −1.56201 | − | 0.901828i | ||||
\(579\) | 1.30214 | + | 0.751791i | 0.0541151 | + | 0.0312433i | ||||
\(580\) | −22.4257 | + | 12.9475i | −0.931176 | + | 0.537615i | ||||
\(581\) | 5.45318 | + | 9.44519i | 0.226236 | + | 0.391852i | ||||
\(582\) | −1.94570 | − | 3.37006i | −0.0806520 | − | 0.139693i | ||||
\(583\) | 10.6029 | − | 6.12157i | 0.439126 | − | 0.253530i | ||||
\(584\) | 9.82695 | + | 17.0208i | 0.406642 | + | 0.704325i | ||||
\(585\) | −24.9284 | − | 18.2832i | −1.03066 | − | 0.755917i | ||||
\(586\) | 8.99406 | − | 15.5782i | 0.371541 | − | 0.643528i | ||||
\(587\) | 10.2847 | + | 5.93790i | 0.424497 | + | 0.245083i | 0.696999 | − | 0.717072i | \(-0.254518\pi\) |
−0.272503 | + | 0.962155i | \(0.587851\pi\) | |||||||
\(588\) | 27.9426 | − | 48.3981i | 1.15234 | − | 1.99590i | ||||
\(589\) | −2.30350 | + | 24.1682i | −0.0949142 | + | 0.995833i | ||||
\(590\) | 58.3063i | 2.40043i | ||||||||
\(591\) | 2.95323 | − | 1.70505i | 0.121480 | − | 0.0701364i | ||||
\(592\) | 28.9205i | 1.18863i | ||||||||
\(593\) | 5.46819i | 0.224552i | 0.993677 | + | 0.112276i | \(0.0358140\pi\) | ||||
−0.993677 | + | 0.112276i | \(0.964186\pi\) | |||||||
\(594\) | −8.05973 | + | 13.9599i | −0.330695 | + | 0.572780i | ||||
\(595\) | 52.7375 | + | 91.3440i | 2.16203 | + | 3.74474i | ||||
\(596\) | −28.2854 | + | 16.3306i | −1.15862 | + | 0.668928i | ||||
\(597\) | −2.02550 | −0.0828981 | ||||||||
\(598\) | 2.87301 | − | 26.2023i | 0.117486 | − | 1.07149i | ||||
\(599\) | −10.7832 | − | 18.6771i | −0.440591 | − | 0.763126i | 0.557142 | − | 0.830417i | \(-0.311898\pi\) |
−0.997733 | + | 0.0672910i | \(0.978564\pi\) | |||||||
\(600\) | − | 32.3840i | − | 1.32207i | ||||||
\(601\) | −16.8015 | − | 29.1011i | −0.685348 | − | 1.18706i | −0.973327 | − | 0.229421i | \(-0.926317\pi\) |
0.287979 | − | 0.957637i | \(-0.407017\pi\) | |||||||
\(602\) | −54.8497 | + | 95.0025i | −2.23551 | + | 3.87201i | ||||
\(603\) | −5.90097 | − | 3.40693i | −0.240306 | − | 0.138741i | ||||
\(604\) | −31.0687 | + | 17.9375i | −1.26417 | + | 0.729867i | ||||
\(605\) | −27.1539 | + | 15.6773i | −1.10396 | + | 0.637374i | ||||
\(606\) | −12.3164 | − | 7.11087i | −0.500319 | − | 0.288860i | ||||
\(607\) | 12.0922 | − | 20.9443i | 0.490806 | − | 0.850102i | −0.509138 | − | 0.860685i | \(-0.670036\pi\) |
0.999944 | + | 0.0105836i | \(0.00336891\pi\) | |||||||
\(608\) | −0.600199 | − | 1.03958i | −0.0243413 | − | 0.0421604i | ||||
\(609\) | 6.98246i | 0.282944i | ||||||||
\(610\) | −4.22158 | − | 7.31199i | −0.170927 | − | 0.296054i | ||||
\(611\) | 12.7389 | + | 9.34307i | 0.515362 | + | 0.377980i | ||||
\(612\) | −56.0571 | −2.26597 | ||||||||
\(613\) | 8.14382 | − | 4.70184i | 0.328926 | − | 0.189905i | −0.326438 | − | 0.945219i | \(-0.605849\pi\) |
0.655364 | + | 0.755313i | \(0.272515\pi\) | |||||||
\(614\) | 21.8903 | + | 37.9151i | 0.883420 | + | 1.53013i | ||||
\(615\) | 11.0409 | − | 19.1233i | 0.445210 | − | 0.771127i | ||||
\(616\) | − | 37.7409i | − | 1.52062i | ||||||
\(617\) | − | 21.9186i | − | 0.882411i | −0.897406 | − | 0.441206i | \(-0.854551\pi\) | ||
0.897406 | − | 0.441206i | \(-0.145449\pi\) | |||||||
\(618\) | 2.09113 | − | 1.20731i | 0.0841175 | − | 0.0485652i | ||||
\(619\) | − | 15.8020i | − | 0.635138i | −0.948235 | − | 0.317569i | \(-0.897134\pi\) | ||
0.948235 | − | 0.317569i | \(-0.102866\pi\) | |||||||
\(620\) | 66.2667 | + | 47.1708i | 2.66134 | + | 1.89443i | ||||
\(621\) | 6.36927 | − | 11.0319i | 0.255590 | − | 0.442695i | ||||
\(622\) | 23.5300 | + | 13.5851i | 0.943468 | + | 0.544711i | ||||
\(623\) | 39.7287 | − | 68.8122i | 1.59170 | − | 2.75690i | ||||
\(624\) | 7.08804 | − | 9.66427i | 0.283749 | − | 0.386880i | ||||
\(625\) | −0.368432 | − | 0.638142i | −0.0147373 | − | 0.0255257i | ||||
\(626\) | 37.8524 | − | 21.8541i | 1.51289 | − | 0.873466i | ||||
\(627\) | −2.66861 | − | 4.62216i | −0.106574 | − | 0.184591i | ||||
\(628\) | −29.9338 | − | 51.8468i | −1.19449 | − | 2.06891i | ||||
\(629\) | −35.3798 | + | 20.4265i | −1.41068 | + | 0.814459i | ||||
\(630\) | 90.0466 | + | 51.9884i | 3.58754 | + | 2.07127i | ||||
\(631\) | −13.8442 | − | 7.99297i | −0.551130 | − | 0.318195i | 0.198448 | − | 0.980111i | \(-0.436410\pi\) |
−0.749578 | + | 0.661917i | \(0.769743\pi\) | |||||||
\(632\) | 15.9282 | + | 9.19614i | 0.633589 | + | 0.365803i | ||||
\(633\) | −0.719173 | + | 1.24564i | −0.0285846 | + | 0.0495099i | ||||
\(634\) | −38.8905 | − | 67.3603i | −1.54454 | − | 2.67522i | ||||
\(635\) | 17.5835 | + | 10.1519i | 0.697781 | + | 0.402864i | ||||
\(636\) | −25.6265 | −1.01616 | ||||||||
\(637\) | 37.0964 | − | 50.5795i | 1.46981 | − | 2.00403i | ||||
\(638\) | 3.33940 | + | 5.78401i | 0.132208 | + | 0.228991i | ||||
\(639\) | −18.4997 | + | 10.6808i | −0.731835 | + | 0.422525i | ||||
\(640\) | 70.2074 | 2.77519 | ||||||||
\(641\) | 23.7831 | − | 41.1935i | 0.939376 | − | 1.62705i | 0.172738 | − | 0.984968i | \(-0.444739\pi\) |
0.766638 | − | 0.642079i | \(-0.221928\pi\) | |||||||
\(642\) | 6.73523 | − | 3.88859i | 0.265818 | − | 0.153470i | ||||
\(643\) | −35.9651 | + | 20.7644i | −1.41832 | + | 0.818869i | −0.996152 | − | 0.0876467i | \(-0.972065\pi\) |
−0.422172 | + | 0.906516i | \(0.638732\pi\) | |||||||
\(644\) | 59.2407i | 2.33441i | ||||||||
\(645\) | 22.6621 | + | 13.0840i | 0.892320 | + | 0.515181i | ||||
\(646\) | 31.5140 | − | 54.5839i | 1.23990 | − | 2.14757i | ||||
\(647\) | 5.89610 | − | 10.2123i | 0.231799 | − | 0.401488i | −0.726538 | − | 0.687126i | \(-0.758872\pi\) |
0.958338 | + | 0.285638i | \(0.0922053\pi\) | |||||||
\(648\) | −15.8664 | + | 9.16045i | −0.623290 | + | 0.359857i | ||||
\(649\) | 10.0487 | 0.394445 | ||||||||
\(650\) | 7.86894 | − | 71.7659i | 0.308645 | − | 2.81489i | ||||
\(651\) | 19.9496 | − | 9.11491i | 0.781887 | − | 0.357241i | ||||
\(652\) | −8.62087 | − | 4.97726i | −0.337619 | − | 0.194925i | ||||
\(653\) | −13.5770 | + | 23.5161i | −0.531310 | + | 0.920255i | 0.468023 | + | 0.883717i | \(0.344967\pi\) |
−0.999332 | + | 0.0365389i | \(0.988367\pi\) | |||||||
\(654\) | −1.88037 | −0.0735283 | ||||||||
\(655\) | − | 30.8902i | − | 1.20698i | ||||||
\(656\) | −27.5523 | − | 15.9073i | −1.07574 | − | 0.621077i | ||||
\(657\) | 9.33184i | 0.364070i | ||||||||
\(658\) | −46.0156 | − | 26.5671i | −1.79387 | − | 1.03569i | ||||
\(659\) | −18.6463 | − | 32.2963i | −0.726355 | − | 1.25808i | −0.958414 | − | 0.285382i | \(-0.907880\pi\) |
0.232059 | − | 0.972702i | \(-0.425454\pi\) | |||||||
\(660\) | −17.8820 | −0.696057 | ||||||||
\(661\) | 27.3238i | 1.06277i | 0.847130 | + | 0.531386i | \(0.178328\pi\) | ||||
−0.847130 | + | 0.531386i | \(0.821672\pi\) | |||||||
\(662\) | 33.2941 | + | 57.6670i | 1.29401 | + | 2.24129i | ||||
\(663\) | 16.8290 | + | 1.84526i | 0.653585 | + | 0.0716638i | ||||
\(664\) | −5.49665 | − | 9.52047i | −0.213311 | − | 0.369466i | ||||
\(665\) | −67.6521 | + | 39.0589i | −2.62343 | + | 1.51464i | ||||
\(666\) | −20.1364 | + | 34.8773i | −0.780270 | + | 1.35147i | ||||
\(667\) | −2.63899 | − | 4.57086i | −0.102182 | − | 0.176985i | ||||
\(668\) | −16.8060 | − | 9.70294i | −0.650243 | − | 0.375418i | ||||
\(669\) | −10.1624 | − | 5.86728i | −0.392902 | − | 0.226842i | ||||
\(670\) | − | 25.6684i | − | 0.991655i | ||||||
\(671\) | −1.26017 | + | 0.727560i | −0.0486483 | + | 0.0280871i | ||||
\(672\) | −0.542239 | + | 0.939186i | −0.0209173 | + | 0.0362299i | ||||
\(673\) | −15.1827 | −0.585249 | −0.292625 | − | 0.956227i | \(-0.594529\pi\) | ||||
−0.292625 | + | 0.956227i | \(0.594529\pi\) | |||||||
\(674\) | −0.812358 | − | 0.469015i | −0.0312909 | − | 0.0180658i | ||||
\(675\) | 17.4449 | − | 30.2155i | 0.671456 | − | 1.16300i | ||||
\(676\) | 35.3851 | − | 38.5962i | 1.36096 | − | 1.48447i | ||||
\(677\) | −5.68598 | − | 9.84840i | −0.218530 | − | 0.378505i | 0.735829 | − | 0.677168i | \(-0.236793\pi\) |
−0.954359 | + | 0.298663i | \(0.903459\pi\) | |||||||
\(678\) | 15.7459 | + | 9.09091i | 0.604718 | + | 0.349134i | ||||
\(679\) | 4.90802 | + | 8.50094i | 0.188352 | + | 0.326236i | ||||
\(680\) | −53.1578 | − | 92.0720i | −2.03851 | − | 3.53080i | ||||
\(681\) | 13.8262i | 0.529821i | ||||||||
\(682\) | 12.1663 | − | 17.0915i | 0.465870 | − | 0.654466i | ||||
\(683\) | −0.164547 | + | 0.0950015i | −0.00629623 | + | 0.00363513i | −0.503145 | − | 0.864202i | \(-0.667824\pi\) |
0.496849 | + | 0.867837i | \(0.334490\pi\) | |||||||
\(684\) | − | 41.5176i | − | 1.58746i | ||||||
\(685\) | 67.0363 | 2.56133 | ||||||||
\(686\) | −63.0401 | + | 109.189i | −2.40688 | + | 4.16884i | ||||
\(687\) | 16.6799i | 0.636377i | ||||||||
\(688\) | 18.8510 | − | 32.6509i | 0.718688 | − | 1.24480i | ||||
\(689\) | −28.5916 | − | 3.13499i | −1.08925 | − | 0.119434i | ||||
\(690\) | 21.1483 | 0.805101 | ||||||||
\(691\) | 37.0335i | 1.40882i | 0.709793 | + | 0.704410i | \(0.248788\pi\) | ||||
−0.709793 | + | 0.704410i | \(0.751212\pi\) | |||||||
\(692\) | −40.3600 | −1.53426 | ||||||||
\(693\) | 8.95985 | − | 15.5189i | 0.340356 | − | 0.589515i | ||||
\(694\) | −29.8698 | − | 17.2454i | −1.13384 | − | 0.654625i | ||||
\(695\) | −43.4409 | − | 25.0806i | −1.64781 | − | 0.951361i | ||||
\(696\) | − | 7.03812i | − | 0.266779i | ||||||
\(697\) | − | 44.9413i | − | 1.70227i | ||||||
\(698\) | −7.82093 | − | 13.5463i | −0.296027 | − | 0.512733i | ||||
\(699\) | −1.03299 | − | 1.78920i | −0.0390715 | − | 0.0676737i | ||||
\(700\) | 162.255i | 6.13268i | ||||||||
\(701\) | −14.4685 | + | 25.0601i | −0.546466 | + | 0.946507i | 0.452047 | + | 0.891994i | \(0.350694\pi\) |
−0.998513 | + | 0.0545126i | \(0.982639\pi\) | |||||||
\(702\) | 34.6644 | − | 15.2474i | 1.30832 | − | 0.575477i | ||||
\(703\) | −15.1285 | − | 26.2033i | −0.570582 | − | 0.988277i | ||||
\(704\) | − | 11.7556i | − | 0.443055i | ||||||
\(705\) | −6.33739 | + | 10.9767i | −0.238680 | + | 0.413406i | ||||
\(706\) | 22.0409 | 0.829519 | ||||||||
\(707\) | 31.0680 | + | 17.9371i | 1.16843 | + | 0.674595i | ||||
\(708\) | −18.2153 | − | 10.5166i | −0.684573 | − | 0.395238i | ||||
\(709\) | 7.58835 | − | 4.38114i | 0.284986 | − | 0.164537i | −0.350692 | − | 0.936491i | \(-0.614054\pi\) |
0.635679 | + | 0.771954i | \(0.280720\pi\) | |||||||
\(710\) | −69.6897 | − | 40.2354i | −2.61541 | − | 1.51001i | ||||
\(711\) | 4.36641 | + | 7.56284i | 0.163753 | + | 0.283629i | ||||
\(712\) | −40.0454 | + | 69.3606i | −1.50076 | + | 2.59940i | ||||
\(713\) | −9.61448 | + | 13.5067i | −0.360065 | + | 0.505829i | ||||
\(714\) | −56.9416 | −2.13098 | ||||||||
\(715\) | −19.9510 | − | 2.18757i | −0.746126 | − | 0.0818106i | ||||
\(716\) | 8.15986 | − | 14.1333i | 0.304948 | − | 0.528186i | ||||
\(717\) | −3.32373 | − | 1.91895i | −0.124127 | − | 0.0716647i | ||||
\(718\) | 32.2532 | 1.20368 | ||||||||
\(719\) | −26.1879 | −0.976644 | −0.488322 | − | 0.872664i | \(-0.662391\pi\) | ||||
−0.488322 | + | 0.872664i | \(0.662391\pi\) | |||||||
\(720\) | −30.9476 | − | 17.8676i | −1.15335 | − | 0.665887i | ||||
\(721\) | −5.27485 | + | 3.04544i | −0.196446 | + | 0.113418i | ||||
\(722\) | 0.0279738 | + | 0.0161507i | 0.00104108 | + | 0.000601065i | ||||
\(723\) | 9.99119 | − | 5.76842i | 0.371576 | − | 0.214530i | ||||
\(724\) | −17.6228 | + | 30.5235i | −0.654945 | + | 1.13440i | ||||
\(725\) | −7.22798 | − | 12.5192i | −0.268441 | − | 0.464953i | ||||
\(726\) | − | 16.9271i | − | 0.628223i | ||||||
\(727\) | 8.35776 | − | 14.4761i | 0.309972 | − | 0.536888i | −0.668384 | − | 0.743817i | \(-0.733014\pi\) |
0.978356 | + | 0.206929i | \(0.0663469\pi\) | |||||||
\(728\) | −52.4376 | + | 71.4967i | −1.94347 | + | 2.64984i | ||||
\(729\) | 1.53674 | 0.0569161 | ||||||||
\(730\) | −30.4441 | + | 17.5769i | −1.12679 | + | 0.650551i | ||||
\(731\) | 53.2578 | 1.96981 | ||||||||
\(732\) | 3.04576 | 0.112574 | ||||||||
\(733\) | −34.8785 | + | 20.1371i | −1.28827 | + | 0.743781i | −0.978345 | − | 0.206982i | \(-0.933636\pi\) |
−0.309921 | + | 0.950762i | \(0.600303\pi\) | |||||||
\(734\) | 73.0769 | + | 42.1910i | 2.69732 | + | 1.55730i | ||||
\(735\) | 43.5826 | + | 25.1624i | 1.60757 | + | 0.928130i | ||||
\(736\) | − | 0.819747i | − | 0.0302163i | ||||||
\(737\) | −4.42376 | −0.162951 | ||||||||
\(738\) | −22.1515 | − | 38.3675i | −0.815408 | − | 1.41233i | ||||
\(739\) | 1.13910i | 0.0419023i | 0.999781 | + | 0.0209512i | \(0.00666945\pi\) | ||||
−0.999781 | + | 0.0209512i | \(0.993331\pi\) | |||||||
\(740\) | −101.374 | −3.72659 | ||||||||
\(741\) | −1.36665 | + | 12.4641i | −0.0502052 | + | 0.457879i | ||||
\(742\) | 96.7406 | 3.55146 | ||||||||
\(743\) | 25.6749 | + | 14.8234i | 0.941920 | + | 0.543818i | 0.890562 | − | 0.454863i | \(-0.150312\pi\) |
0.0513583 | + | 0.998680i | \(0.483645\pi\) | |||||||
\(744\) | −20.1086 | + | 9.18756i | −0.737217 | + | 0.336832i | ||||
\(745\) | −14.7057 | − | 25.4711i | −0.538777 | − | 0.933189i | ||||
\(746\) | 65.0957i | 2.38332i | ||||||||
\(747\) | − | 5.21971i | − | 0.190979i | ||||||
\(748\) | −31.5181 | + | 18.1970i | −1.15242 | + | 0.665348i | ||||
\(749\) | −16.9896 | + | 9.80893i | −0.620785 | + | 0.358410i | ||||
\(750\) | 22.4124 | 0.818385 | ||||||||
\(751\) | 2.68173 | + | 4.64490i | 0.0978578 | + | 0.169495i | 0.910798 | − | 0.412853i | \(-0.135468\pi\) |
−0.812940 | + | 0.582348i | \(0.802134\pi\) | |||||||
\(752\) | 15.8149 | + | 9.13071i | 0.576709 | + | 0.332963i | ||||
\(753\) | 3.58961 | + | 6.21739i | 0.130813 | + | 0.226574i | ||||
\(754\) | 1.71018 | − | 15.5971i | 0.0622810 | − | 0.568013i | ||||
\(755\) | −16.1528 | − | 27.9774i | −0.587859 | − | 1.01820i | ||||
\(756\) | −73.7068 | + | 42.5546i | −2.68069 | + | 1.54770i | ||||
\(757\) | 27.5993 | 1.00311 | 0.501557 | − | 0.865125i | \(-0.332761\pi\) | ||||
0.501557 | + | 0.865125i | \(0.332761\pi\) | |||||||
\(758\) | 5.35816 | 0.194617 | ||||||||
\(759\) | − | 3.64476i | − | 0.132296i | ||||||
\(760\) | 68.1913 | − | 39.3702i | 2.47356 | − | 1.42811i | ||||
\(761\) | 28.8240i | 1.04487i | 0.852680 | + | 0.522434i | \(0.174976\pi\) | ||||
−0.852680 | + | 0.522434i | \(0.825024\pi\) | |||||||
\(762\) | −9.49262 | + | 5.48057i | −0.343881 | + | 0.198540i | ||||
\(763\) | 4.74322 | 0.171716 | ||||||||
\(764\) | −85.6098 | −3.09725 | ||||||||
\(765\) | − | 50.4796i | − | 1.82509i | ||||||
\(766\) | 13.6726 | + | 23.6816i | 0.494010 | + | 0.855650i | ||||
\(767\) | −19.0363 | − | 13.9618i | −0.687362 | − | 0.504130i | ||||
\(768\) | −12.8421 | + | 22.2431i | −0.463398 | + | 0.802628i | ||||
\(769\) | 13.8390 | − | 7.98997i | 0.499048 | − | 0.288126i | −0.229272 | − | 0.973362i | \(-0.573635\pi\) |
0.728320 | + | 0.685237i | \(0.240301\pi\) | |||||||
\(770\) | 67.5049 | 2.43271 | ||||||||
\(771\) | 7.79104 | + | 13.4945i | 0.280587 | + | 0.485991i | ||||
\(772\) | 6.57618 | + | 3.79676i | 0.236682 | + | 0.136648i | ||||
\(773\) | −10.3747 | + | 5.98981i | −0.373151 | + | 0.215439i | −0.674834 | − | 0.737970i | \(-0.735785\pi\) |
0.301683 | + | 0.953408i | \(0.402451\pi\) | |||||||
\(774\) | 45.4675 | − | 26.2507i | 1.63430 | − | 0.943561i | ||||
\(775\) | −26.3333 | + | 36.9937i | −0.945920 | + | 1.32885i | ||||
\(776\) | −4.94714 | − | 8.56869i | −0.177592 | − | 0.307598i | ||||
\(777\) | −13.6676 | + | 23.6729i | −0.490321 | + | 0.849261i | ||||
\(778\) | 24.7299 | − | 14.2778i | 0.886609 | − | 0.511884i | ||||
\(779\) | 33.2849 | 1.19255 | ||||||||
\(780\) | 33.8759 | + | 24.8455i | 1.21295 | + | 0.889611i | ||||
\(781\) | −6.93429 | + | 12.0105i | −0.248128 | + | 0.429771i | ||||
\(782\) | 37.2751 | − | 21.5208i | 1.33295 | − | 0.769582i | ||||
\(783\) | 3.79136 | − | 6.56682i | 0.135492 | − | 0.234679i | ||||
\(784\) | 36.2532 | − | 62.7924i | 1.29476 | − | 2.24259i | ||||
\(785\) | 46.6882 | − | 26.9554i | 1.66637 | − | 0.962080i | ||||
\(786\) | 14.4421 | + | 8.33818i | 0.515134 | + | 0.297413i | ||||
\(787\) | 48.1330i | 1.71576i | 0.513853 | + | 0.857878i | \(0.328218\pi\) | ||||
−0.513853 | + | 0.857878i | \(0.671782\pi\) | |||||||
\(788\) | 14.9147 | − | 8.61099i | 0.531313 | − | 0.306754i | ||||
\(789\) | −20.9918 | −0.747329 | ||||||||
\(790\) | −16.4486 | + | 28.4898i | −0.585215 | + | 1.01362i | ||||
\(791\) | −39.7189 | − | 22.9317i | −1.41224 | − | 0.815358i | ||||
\(792\) | −9.03126 | + | 15.6426i | −0.320912 | + | 0.555836i | ||||
\(793\) | 3.39816 | + | 0.372599i | 0.120672 | + | 0.0132314i | ||||
\(794\) | −13.3382 | + | 23.1025i | −0.473356 | + | 0.819876i | ||||
\(795\) | − | 23.0767i | − | 0.818448i | ||||||
\(796\) | −10.2293 | −0.362569 | ||||||||
\(797\) | −1.36424 | + | 2.36293i | −0.0483238 | + | 0.0836993i | −0.889176 | − | 0.457566i | \(-0.848721\pi\) |
0.840852 | + | 0.541265i | \(0.182055\pi\) | |||||||
\(798\) | − | 42.1726i | − | 1.49289i | ||||||
\(799\) | 25.7960i | 0.912599i | ||||||||
\(800\) | − | 2.24522i | − | 0.0793806i | ||||||
\(801\) | −32.9330 | + | 19.0139i | −1.16363 | + | 0.671823i | ||||
\(802\) | 0.399606 | + | 0.692138i | 0.0141106 | + | 0.0244402i | ||||
\(803\) | 3.02926 | + | 5.24683i | 0.106900 | + | 0.185157i | ||||
\(804\) | 8.01898 | + | 4.62976i | 0.282808 | + | 0.163279i | ||||
\(805\) | −53.3463 | −1.88021 | ||||||||
\(806\) | −46.7949 | + | 15.4743i | −1.64828 | + | 0.545059i | ||||
\(807\) | −13.4705 | −0.474185 | ||||||||
\(808\) | −31.3156 | − | 18.0801i | −1.10168 | − | 0.636055i | ||||
\(809\) | 16.1096 | + | 27.9027i | 0.566385 | + | 0.981007i | 0.996919 | + | 0.0784332i | \(0.0249917\pi\) |
−0.430535 | + | 0.902574i | \(0.641675\pi\) | |||||||
\(810\) | −16.3848 | − | 28.3793i | −0.575702 | − | 0.997146i | ||||
\(811\) | 10.3835 | − | 5.99489i | 0.364613 | − | 0.210509i | −0.306490 | − | 0.951874i | \(-0.599154\pi\) |
0.671102 | + | 0.741365i | \(0.265821\pi\) | |||||||
\(812\) | 35.2634i | 1.23750i | ||||||||
\(813\) | 9.21232i | 0.323090i | ||||||||
\(814\) | 26.1463i | 0.916429i | ||||||||
\(815\) | 4.48204 | − | 7.76311i | 0.156999 | − | 0.271930i | ||||
\(816\) | 19.5699 | 0.685085 | ||||||||
\(817\) | 39.4443i | 1.37998i | ||||||||
\(818\) | −27.5434 | + | 47.7066i | −0.963034 | + | 1.66802i | ||||
\(819\) | −38.5358 | + | 16.9503i | −1.34655 | + | 0.592290i | ||||
\(820\) | 55.7595 | − | 96.5782i | 1.94720 | − | 3.37266i | ||||
\(821\) | −2.24651 | − | 1.29702i | −0.0784036 | − | 0.0452664i | 0.460286 | − | 0.887771i | \(-0.347747\pi\) |
−0.538689 | + | 0.842505i | \(0.681080\pi\) | |||||||
\(822\) | −18.0951 | + | 31.3416i | −0.631138 | + | 1.09316i | ||||
\(823\) | 30.2286 | 1.05370 | 0.526852 | − | 0.849957i | \(-0.323372\pi\) | ||||
0.526852 | + | 0.849957i | \(0.323372\pi\) | |||||||
\(824\) | 5.31689 | − | 3.06971i | 0.185223 | − | 0.106938i | ||||
\(825\) | − | 9.98271i | − | 0.347553i | ||||||
\(826\) | 68.7631 | + | 39.7004i | 2.39257 | + | 1.38135i | ||||
\(827\) | 31.3850 | − | 18.1201i | 1.09136 | − | 0.630098i | 0.157424 | − | 0.987531i | \(-0.449681\pi\) |
0.933939 | + | 0.357433i | \(0.116348\pi\) | |||||||
\(828\) | 14.1761 | − | 24.5537i | 0.492653 | − | 0.853300i | ||||
\(829\) | −17.3372 | + | 30.0289i | −0.602146 | + | 1.04295i | 0.390349 | + | 0.920667i | \(0.372354\pi\) |
−0.992496 | + | 0.122281i | \(0.960979\pi\) | |||||||
\(830\) | 17.0287 | − | 9.83153i | 0.591075 | − | 0.341257i | ||||
\(831\) | 6.48455 | − | 11.2316i | 0.224946 | − | 0.389619i | ||||
\(832\) | −16.3333 | + | 22.2699i | −0.566257 | + | 0.772070i | ||||
\(833\) | 102.422 | 3.54873 | ||||||||
\(834\) | 23.4519 | − | 13.5400i | 0.812074 | − | 0.468851i | ||||
\(835\) | 8.73752 | − | 15.1338i | 0.302374 | − | 0.523728i | ||||
\(836\) | −13.4772 | − | 23.3433i | −0.466120 | − | 0.807343i | ||||
\(837\) | −23.7113 | − | 2.25996i | −0.819583 | − | 0.0781155i | ||||
\(838\) | −78.6283 | + | 45.3961i | −2.71617 | + | 1.56818i | ||||
\(839\) | −29.2180 | + | 16.8690i | −1.00872 | + | 0.582382i | −0.910815 | − | 0.412814i | \(-0.864546\pi\) |
−0.0979003 | + | 0.995196i | \(0.531213\pi\) | |||||||
\(840\) | −61.6062 | − | 35.5683i | −2.12561 | − | 1.22722i | ||||
\(841\) | 12.9291 | + | 22.3939i | 0.445832 | + | 0.772203i | ||||
\(842\) | −21.1374 | −0.728444 | ||||||||
\(843\) | −0.529953 | + | 0.305968i | −0.0182525 | + | 0.0105381i | ||||
\(844\) | −3.63203 | + | 6.29086i | −0.125020 | + | 0.216540i | ||||
\(845\) | 34.7560 | + | 31.8643i | 1.19564 | + | 1.09617i | ||||
\(846\) | 12.7148 | + | 22.0227i | 0.437145 | + | 0.757157i | ||||
\(847\) | 42.6984i | 1.46713i | ||||||||
\(848\) | −33.2483 | −1.14175 | ||||||||
\(849\) | −21.3397 | −0.732376 | ||||||||
\(850\) | 102.094 | − | 58.9437i | 3.50178 | − | 2.02175i | ||||
\(851\) | − | 20.6624i | − | 0.708297i | ||||||
\(852\) | 25.1396 | − | 14.5144i | 0.861270 | − | 0.497254i | ||||
\(853\) | − | 36.2443i | − | 1.24098i | −0.784214 | − | 0.620490i | \(-0.786934\pi\) | ||
0.784214 | − | 0.620490i | \(-0.213066\pi\) | |||||||
\(854\) | −11.4978 | −0.393446 | ||||||||
\(855\) | 37.3867 | 1.27860 | ||||||||
\(856\) | 17.1250 | − | 9.88711i | 0.585319 | − | 0.337934i | ||||
\(857\) | 16.0843 | + | 27.8589i | 0.549430 | + | 0.951641i | 0.998314 | + | 0.0580508i | \(0.0184885\pi\) |
−0.448883 | + | 0.893590i | \(0.648178\pi\) | |||||||
\(858\) | 6.40812 | − | 8.73723i | 0.218770 | − | 0.298284i | ||||
\(859\) | 5.10558 | + | 8.84312i | 0.174200 | + | 0.301723i | 0.939884 | − | 0.341494i | \(-0.110933\pi\) |
−0.765684 | + | 0.643217i | \(0.777599\pi\) | |||||||
\(860\) | 114.450 | + | 66.0779i | 3.90272 | + | 2.25324i | ||||
\(861\) | −15.0353 | − | 26.0419i | −0.512402 | − | 0.887506i | ||||
\(862\) | 52.3818 | 1.78413 | ||||||||
\(863\) | −44.2327 | + | 25.5377i | −1.50570 | + | 0.869315i | −0.505719 | + | 0.862698i | \(0.668773\pi\) |
−0.999978 | + | 0.00661651i | \(0.997894\pi\) | |||||||
\(864\) | 1.01992 | − | 0.588853i | 0.0346985 | − | 0.0200332i | ||||
\(865\) | − | 36.3443i | − | 1.23574i | ||||||
\(866\) | 101.082i | 3.43491i | ||||||||
\(867\) | 7.04308 | + | 12.1990i | 0.239196 | + | 0.414299i | ||||
\(868\) | 100.751 | − | 46.0329i | 3.41972 | − | 1.56246i | ||||
\(869\) | 4.91003 | + | 2.83480i | 0.166561 | + | 0.0961642i | ||||
\(870\) | 12.5887 | 0.426796 | ||||||||
\(871\) | 8.38042 | + | 6.14643i | 0.283960 | + | 0.208264i | ||||
\(872\) | −4.78102 | −0.161906 | ||||||||
\(873\) | − | 4.69789i | − | 0.158999i | ||||||
\(874\) | 15.9389 | + | 27.6070i | 0.539143 | + | 0.933822i | ||||
\(875\) | −56.5351 | −1.91123 | ||||||||
\(876\) | − | 12.6813i | − | 0.428461i | ||||||
\(877\) | 6.35177 | + | 3.66719i | 0.214484 | + | 0.123832i | 0.603394 | − | 0.797444i | \(-0.293815\pi\) |
−0.388910 | + | 0.921276i | \(0.627148\pi\) | |||||||
\(878\) | −38.1851 | − | 22.0462i | −1.28868 | − | 0.744022i | ||||
\(879\) | −5.06048 | + | 2.92167i | −0.170686 | + | 0.0985455i | ||||
\(880\) | −23.2004 | −0.782086 | ||||||||
\(881\) | −4.36666 | −0.147117 | −0.0735583 | − | 0.997291i | \(-0.523435\pi\) | ||||
−0.0735583 | + | 0.997291i | \(0.523435\pi\) | |||||||
\(882\) | 87.4407 | − | 50.4839i | 2.94428 | − | 1.69988i | ||||
\(883\) | 36.5899 | 1.23135 | 0.615674 | − | 0.788001i | \(-0.288884\pi\) | ||||
0.615674 | + | 0.788001i | \(0.288884\pi\) | |||||||
\(884\) | 84.9913 | + | 9.31907i | 2.85857 | + | 0.313434i | ||||
\(885\) | 9.47023 | − | 16.4029i | 0.318338 | − | 0.551378i | ||||
\(886\) | − | 39.8142i | − | 1.33758i | ||||||
\(887\) | 4.09896 | + | 7.09961i | 0.137630 | + | 0.238382i | 0.926599 | − | 0.376051i | \(-0.122718\pi\) |
−0.788969 | + | 0.614433i | \(0.789385\pi\) | |||||||
\(888\) | 13.7765 | − | 23.8616i | 0.462309 | − | 0.800743i | ||||
\(889\) | 23.9450 | − | 13.8247i | 0.803091 | − | 0.463665i | ||||
\(890\) | −124.061 | − | 71.6269i | −4.15855 | − | 2.40094i | ||||
\(891\) | −4.89097 | + | 2.82380i | −0.163854 | + | 0.0946009i | ||||
\(892\) | −51.3232 | − | 29.6314i | −1.71843 | − | 0.992134i | ||||
\(893\) | −19.1053 | −0.639335 | ||||||||
\(894\) | 15.8781 | 0.531041 | ||||||||
\(895\) | 12.7271 | + | 7.34797i | 0.425419 | + | 0.245616i | ||||
\(896\) | 47.8038 | − | 82.7986i | 1.59701 | − | 2.76611i | ||||
\(897\) | −5.06407 | + | 6.90467i | −0.169084 | + | 0.230540i | ||||
\(898\) | −94.3923 | −3.14991 | ||||||||
\(899\) | −5.72309 | + | 8.03994i | −0.190876 | + | 0.268147i | ||||
\(900\) | 38.8272 | − | 67.2506i | 1.29424 | − | 2.24169i | ||||
\(901\) | −23.4832 | − | 40.6741i | −0.782339 | − | 1.35505i | ||||
\(902\) | −24.9094 | − | 14.3814i | −0.829391 | − | 0.478849i | ||||
\(903\) | 30.8610 | − | 17.8176i | 1.02699 | − | 0.592933i | ||||
\(904\) | 40.0355 | + | 23.1145i | 1.33156 | + | 0.768777i | ||||
\(905\) | −27.4865 | − | 15.8693i | −0.913682 | − | 0.527514i | ||||
\(906\) | 17.4404 | 0.579419 | ||||||||
\(907\) | 1.86674 | − | 3.23330i | 0.0619842 | − | 0.107360i | −0.833368 | − | 0.552718i | \(-0.813590\pi\) |
0.895352 | + | 0.445359i | \(0.146924\pi\) | |||||||
\(908\) | 69.8262i | 2.31726i | ||||||||
\(909\) | −8.58457 | − | 14.8689i | −0.284732 | − | 0.493171i | ||||
\(910\) | −127.882 | − | 93.7921i | −4.23925 | − | 3.10918i | ||||
\(911\) | 23.5123 | − | 40.7246i | 0.778999 | − | 1.34927i | −0.153520 | − | 0.988145i | \(-0.549061\pi\) |
0.932519 | − | 0.361120i | \(-0.117606\pi\) | |||||||
\(912\) | 14.4941i | 0.479947i | ||||||||
\(913\) | −1.69440 | − | 2.93478i | −0.0560763 | − | 0.0971271i | ||||
\(914\) | 9.35213 | + | 16.1984i | 0.309341 | + | 0.535794i | ||||
\(915\) | 2.74271i | 0.0906712i | ||||||||
\(916\) | 84.2381i | 2.78331i | ||||||||
\(917\) | −36.4302 | − | 21.0330i | −1.20303 | − | 0.694570i | ||||
\(918\) | 53.5520 | + | 30.9183i | 1.76748 | + | 1.02045i | ||||
\(919\) | 21.6439 | − | 37.4884i | 0.713967 | − | 1.23663i | −0.249390 | − | 0.968403i | \(-0.580230\pi\) |
0.963357 | − | 0.268224i | \(-0.0864367\pi\) | |||||||
\(920\) | 53.7715 | 1.77280 | ||||||||
\(921\) | − | 14.2219i | − | 0.468627i | ||||||
\(922\) | −79.8407 | −2.62941 | ||||||||
\(923\) | 29.8240 | − | 13.1183i | 0.981668 | − | 0.431794i | ||||
\(924\) | −12.1758 | + | 21.0890i | −0.400553 | + | 0.693778i | ||||
\(925\) | − | 56.5926i | − | 1.86075i | ||||||
\(926\) | 31.6637 | − | 54.8431i | 1.04053 | − | 1.80226i | ||||
\(927\) | 2.91505 | 0.0957427 | ||||||||
\(928\) | − | 0.487961i | − | 0.0160181i | ||||||
\(929\) | −16.0551 | + | 9.26944i | −0.526752 | + | 0.304120i | −0.739693 | − | 0.672945i | \(-0.765029\pi\) |
0.212941 | + | 0.977065i | \(0.431696\pi\) | |||||||
\(930\) | −16.4333 | − | 35.9671i | −0.538868 | − | 1.17941i | ||||
\(931\) | 75.8571i | 2.48612i | ||||||||
\(932\) | −5.21692 | − | 9.03597i | −0.170886 | − | 0.295983i | ||||
\(933\) | −4.41303 | − | 7.64360i | −0.144476 | − | 0.250240i | ||||
\(934\) | 7.71496 | + | 4.45423i | 0.252441 | + | 0.145747i | ||||
\(935\) | −16.3864 | − | 28.3821i | −0.535894 | − | 0.928195i | ||||
\(936\) | 38.8429 | − | 17.0854i | 1.26962 | − | 0.558453i | ||||
\(937\) | −18.4008 | + | 31.8712i | −0.601129 | + | 1.04119i | 0.391522 | + | 0.920169i | \(0.371949\pi\) |
−0.992650 | + | 0.121017i | \(0.961385\pi\) | |||||||
\(938\) | −30.2718 | − | 17.4774i | −0.988409 | − | 0.570658i | ||||
\(939\) | −14.1984 | −0.463346 | ||||||||
\(940\) | −32.0056 | + | 55.4353i | −1.04391 | + | 1.80810i | ||||
\(941\) | 6.16790 | − | 3.56104i | 0.201068 | − | 0.116087i | −0.396086 | − | 0.918214i | \(-0.629632\pi\) |
0.597154 | + | 0.802127i | \(0.296298\pi\) | |||||||
\(942\) | 29.1042i | 0.948267i | ||||||||
\(943\) | 19.6848 | + | 11.3650i | 0.641026 | + | 0.370097i | ||||
\(944\) | −23.6328 | − | 13.6444i | −0.769183 | − | 0.444088i | ||||
\(945\) | −38.3205 | − | 66.3731i | −1.24657 | − | 2.15912i | ||||
\(946\) | 17.0427 | − | 29.5189i | 0.554107 | − | 0.959742i | ||||
\(947\) | 35.2724 | − | 20.3645i | 1.14620 | − | 0.661759i | 0.198241 | − | 0.980153i | \(-0.436477\pi\) |
0.947958 | + | 0.318395i | \(0.103144\pi\) | |||||||
\(948\) | −5.93362 | − | 10.2773i | −0.192715 | − | 0.333792i | ||||
\(949\) | 1.55135 | − | 14.1485i | 0.0503589 | − | 0.459281i | ||||
\(950\) | 43.6555 | + | 75.6135i | 1.41637 | + | 2.45323i | ||||
\(951\) | 25.2667i | 0.819329i | ||||||||
\(952\) | −144.779 | −4.69232 | ||||||||
\(953\) | 22.3361 | + | 38.6872i | 0.723536 | + | 1.25320i | 0.959574 | + | 0.281458i | \(0.0908180\pi\) |
−0.236037 | + | 0.971744i | \(0.575849\pi\) | |||||||
\(954\) | −40.0964 | − | 23.1497i | −1.29817 | − | 0.749499i | ||||
\(955\) | − | 77.0918i | − | 2.49463i | ||||||
\(956\) | −16.7858 | − | 9.69127i | −0.542891 | − | 0.313438i | ||||
\(957\) | − | 2.16957i | − | 0.0701323i | ||||||
\(958\) | 44.8154 | 1.44792 | ||||||||
\(959\) | 45.6446 | − | 79.0588i | 1.47394 | − | 2.55294i | ||||
\(960\) | −19.1892 | − | 11.0789i | −0.619328 | − | 0.357569i | ||||
\(961\) | 30.4418 | + | 5.85611i | 0.981995 | + | 0.188907i | ||||
\(962\) | 36.3280 | − | 49.5319i | 1.17126 | − | 1.59697i | ||||
\(963\) | 9.38896 | 0.302555 | ||||||||
\(964\) | 50.4584 | − | 29.1322i | 1.62515 | − | 0.938283i | ||||
\(965\) | −3.41899 | + | 5.92186i | −0.110061 | + | 0.190631i | ||||
\(966\) | 14.3997 | − | 24.9411i | 0.463304 | − | 0.802466i | ||||
\(967\) | −10.7429 | − | 6.20241i | −0.345468 | − | 0.199456i | 0.317220 | − | 0.948352i | \(-0.397251\pi\) |
−0.662687 | + | 0.748896i | \(0.730584\pi\) | |||||||
\(968\) | − | 43.0387i | − | 1.38332i | ||||||
\(969\) | −17.7313 | + | 10.2372i | −0.569610 | + | 0.328865i | ||||
\(970\) | 15.3263 | − | 8.84866i | 0.492099 | − | 0.284113i | ||||
\(971\) | −10.5498 | + | 18.2728i | −0.338559 | + | 0.586401i | −0.984162 | − | 0.177272i | \(-0.943273\pi\) |
0.645603 | + | 0.763673i | \(0.276606\pi\) | |||||||
\(972\) | 63.5142 | 2.03722 | ||||||||
\(973\) | −59.1573 | + | 34.1545i | −1.89649 | + | 1.09494i | ||||
\(974\) | −18.4758 | − | 32.0010i | −0.592002 | − | 1.02538i | ||||
\(975\) | −13.8701 | + | 18.9113i | −0.444198 | + | 0.605648i | ||||
\(976\) | 3.95161 | 0.126488 | ||||||||
\(977\) | −41.7936 | − | 24.1296i | −1.33710 | − | 0.771973i | −0.350721 | − | 0.936480i | \(-0.614063\pi\) |
−0.986376 | + | 0.164507i | \(0.947397\pi\) | |||||||
\(978\) | 2.41967 | + | 4.19098i | 0.0773724 | + | 0.134013i | ||||
\(979\) | −12.3444 | + | 21.3811i | −0.394529 | + | 0.683344i | ||||
\(980\) | 220.104 | + | 127.077i | 7.03098 | + | 4.05934i | ||||
\(981\) | −1.96594 | − | 1.13504i | −0.0627676 | − | 0.0362389i | ||||
\(982\) | 26.2648 | + | 15.1640i | 0.838142 | + | 0.483902i | ||||
\(983\) | 18.9832 | − | 10.9600i | 0.605470 | − | 0.349568i | −0.165720 | − | 0.986173i | \(-0.552995\pi\) |
0.771191 | + | 0.636604i | \(0.219662\pi\) | |||||||
\(984\) | 15.1551 | + | 26.2495i | 0.483128 | + | 0.836803i | ||||
\(985\) | 7.75422 | + | 13.4307i | 0.247070 | + | 0.427938i | ||||
\(986\) | 22.1883 | − | 12.8104i | 0.706619 | − | 0.407967i | ||||
\(987\) | 8.63018 | + | 14.9479i | 0.274702 | + | 0.475797i | ||||
\(988\) | −6.90198 | + | 62.9471i | −0.219581 | + | 2.00261i | ||||
\(989\) | −13.4682 | + | 23.3275i | −0.428263 | + | 0.741773i | ||||
\(990\) | −27.9790 | − | 16.1537i | −0.889232 | − | 0.513398i | ||||
\(991\) | −9.31430 | + | 16.1328i | −0.295878 | + | 0.512477i | −0.975189 | − | 0.221375i | \(-0.928946\pi\) |
0.679310 | + | 0.733851i | \(0.262279\pi\) | |||||||
\(992\) | −1.39415 | + | 0.636984i | −0.0442644 | + | 0.0202243i | ||||
\(993\) | − | 21.6308i | − | 0.686432i | ||||||
\(994\) | −94.9026 | + | 54.7921i | −3.01013 | + | 1.73790i | ||||
\(995\) | − | 9.21154i | − | 0.292026i | ||||||
\(996\) | 7.09319i | 0.224756i | ||||||||
\(997\) | −5.15687 | + | 8.93196i | −0.163320 | + | 0.282878i | −0.936057 | − | 0.351848i | \(-0.885554\pi\) |
0.772738 | + | 0.634726i | \(0.218887\pi\) | |||||||
\(998\) | 11.9764 | + | 20.7437i | 0.379105 | + | 0.656629i | ||||
\(999\) | 25.7080 | − | 14.8425i | 0.813364 | − | 0.469596i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 403.2.s.a.160.3 | ✓ | 70 | |
13.10 | even | 6 | 403.2.v.a.36.3 | yes | 70 | ||
31.25 | even | 3 | 403.2.v.a.56.3 | yes | 70 | ||
403.335 | even | 6 | inner | 403.2.s.a.335.3 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.s.a.160.3 | ✓ | 70 | 1.1 | even | 1 | trivial | |
403.2.s.a.335.3 | yes | 70 | 403.335 | even | 6 | inner | |
403.2.v.a.36.3 | yes | 70 | 13.10 | even | 6 | ||
403.2.v.a.56.3 | yes | 70 | 31.25 | even | 3 |