Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(11,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bh (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 390.11 |
Dual form | 390.2.bh.c.71.4 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | 0.888751 | − | 1.48665i | 0.513121 | − | 0.858316i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | ||||
\(6\) | −1.24324 | + | 1.20597i | −0.507551 | + | 0.492333i | ||||
\(7\) | 0.431103 | + | 1.60890i | 0.162942 | + | 0.608106i | 0.998294 | + | 0.0583912i | \(0.0185971\pi\) |
−0.835352 | + | 0.549715i | \(0.814736\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.42024 | − | 2.64252i | −0.473414 | − | 0.880840i | ||||
\(10\) | 0.866025 | − | 0.500000i | 0.273861 | − | 0.158114i | ||||
\(11\) | 0.985615 | − | 3.67836i | 0.297174 | − | 1.10907i | −0.642301 | − | 0.766452i | \(-0.722020\pi\) |
0.939475 | − | 0.342616i | \(-0.111313\pi\) | |||||||
\(12\) | 1.51301 | − | 0.843099i | 0.436767 | − | 0.243382i | ||||
\(13\) | 2.83555 | − | 2.22703i | 0.786439 | − | 0.617668i | ||||
\(14\) | − | 1.66565i | − | 0.445165i | ||||||
\(15\) | 0.422776 | + | 1.67966i | 0.109160 | + | 0.433687i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.660987 | − | 1.14486i | 0.160313 | − | 0.277670i | −0.774668 | − | 0.632368i | \(-0.782083\pi\) |
0.934981 | + | 0.354698i | \(0.115416\pi\) | |||||||
\(18\) | 0.687914 | + | 2.92006i | 0.162143 | + | 0.688266i | ||||
\(19\) | 5.54438 | − | 1.48561i | 1.27197 | − | 0.340823i | 0.441183 | − | 0.897417i | \(-0.354559\pi\) |
0.830785 | + | 0.556594i | \(0.187892\pi\) | |||||||
\(20\) | −0.965926 | + | 0.258819i | −0.215988 | + | 0.0578737i | ||||
\(21\) | 2.77501 | + | 0.789012i | 0.605556 | + | 0.172177i | ||||
\(22\) | −1.90406 | + | 3.29793i | −0.405947 | + | 0.703121i | ||||
\(23\) | −3.32990 | − | 5.76756i | −0.694333 | − | 1.20262i | −0.970405 | − | 0.241482i | \(-0.922366\pi\) |
0.276073 | − | 0.961137i | \(-0.410967\pi\) | |||||||
\(24\) | −1.67966 | + | 0.422776i | −0.342859 | + | 0.0862989i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | −3.31533 | + | 1.41726i | −0.650189 | + | 0.277947i | ||||
\(27\) | −5.19074 | − | 0.237145i | −0.998958 | − | 0.0456385i | ||||
\(28\) | −0.431103 | + | 1.60890i | −0.0814708 | + | 0.304053i | ||||
\(29\) | −1.32839 | + | 0.766948i | −0.246677 | + | 0.142419i | −0.618242 | − | 0.785988i | \(-0.712155\pi\) |
0.371565 | + | 0.928407i | \(0.378821\pi\) | |||||||
\(30\) | 0.0263575 | − | 1.73185i | 0.00481221 | − | 0.316191i | ||||
\(31\) | 5.84819 | + | 5.84819i | 1.05037 | + | 1.05037i | 0.998662 | + | 0.0517031i | \(0.0164650\pi\) |
0.0517031 | + | 0.998662i | \(0.483535\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −4.59246 | − | 4.73441i | −0.799445 | − | 0.824155i | ||||
\(34\) | −0.934777 | + | 0.934777i | −0.160313 | + | 0.160313i | ||||
\(35\) | −1.44250 | − | 0.832827i | −0.243827 | − | 0.140773i | ||||
\(36\) | 0.0912946 | − | 2.99861i | 0.0152158 | − | 0.499768i | ||||
\(37\) | −9.72471 | − | 2.60573i | −1.59873 | − | 0.428379i | −0.654073 | − | 0.756432i | \(-0.726941\pi\) |
−0.944659 | + | 0.328052i | \(0.893608\pi\) | |||||||
\(38\) | −5.73996 | −0.931145 | ||||||||
\(39\) | −0.790720 | − | 6.19474i | −0.126617 | − | 0.991952i | ||||
\(40\) | 1.00000 | 0.158114 | ||||||||
\(41\) | 4.33407 | + | 1.16131i | 0.676868 | + | 0.181366i | 0.580847 | − | 0.814013i | \(-0.302722\pi\) |
0.0960213 | + | 0.995379i | \(0.469388\pi\) | |||||||
\(42\) | −2.47624 | − | 1.48035i | −0.382092 | − | 0.228423i | ||||
\(43\) | −6.30456 | − | 3.63994i | −0.961436 | − | 0.555085i | −0.0648212 | − | 0.997897i | \(-0.520648\pi\) |
−0.896615 | + | 0.442812i | \(0.853981\pi\) | |||||||
\(44\) | 2.69275 | − | 2.69275i | 0.405947 | − | 0.405947i | ||||
\(45\) | 2.87281 | + | 0.864281i | 0.428253 | + | 0.128839i | ||||
\(46\) | 1.72368 | + | 6.43288i | 0.254143 | + | 0.948476i | ||||
\(47\) | 9.18700 | + | 9.18700i | 1.34006 | + | 1.34006i | 0.895992 | + | 0.444070i | \(0.146466\pi\) |
0.444070 | + | 0.895992i | \(0.353534\pi\) | |||||||
\(48\) | 1.73185 | + | 0.0263575i | 0.249971 | + | 0.00380438i | ||||
\(49\) | 3.65947 | − | 2.11280i | 0.522782 | − | 0.301828i | ||||
\(50\) | −0.258819 | + | 0.965926i | −0.0366025 | + | 0.136603i | ||||
\(51\) | −1.11455 | − | 2.00015i | −0.156069 | − | 0.280077i | ||||
\(52\) | 3.56917 | − | 0.510896i | 0.494955 | − | 0.0708485i | ||||
\(53\) | − | 0.302458i | − | 0.0415458i | −0.999784 | − | 0.0207729i | \(-0.993387\pi\) | ||
0.999784 | − | 0.0207729i | \(-0.00661269\pi\) | |||||||
\(54\) | 4.95249 | + | 1.57253i | 0.673949 | + | 0.213994i | ||||
\(55\) | 1.90406 | + | 3.29793i | 0.256744 | + | 0.444693i | ||||
\(56\) | 0.832827 | − | 1.44250i | 0.111291 | − | 0.192762i | ||||
\(57\) | 2.71899 | − | 9.56288i | 0.360140 | − | 1.26663i | ||||
\(58\) | 1.48163 | − | 0.397002i | 0.194548 | − | 0.0521289i | ||||
\(59\) | −3.71613 | + | 0.995733i | −0.483798 | + | 0.129633i | −0.492471 | − | 0.870329i | \(-0.663906\pi\) |
0.00867240 | + | 0.999962i | \(0.497239\pi\) | |||||||
\(60\) | −0.473695 | + | 1.66602i | −0.0611538 | + | 0.215082i | ||||
\(61\) | 2.23843 | − | 3.87708i | 0.286602 | − | 0.496409i | −0.686394 | − | 0.727229i | \(-0.740808\pi\) |
0.972996 | + | 0.230820i | \(0.0741409\pi\) | |||||||
\(62\) | −4.13529 | − | 7.16254i | −0.525183 | − | 0.909643i | ||||
\(63\) | 3.63928 | − | 3.42422i | 0.458506 | − | 0.431412i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.430282 | + | 3.57978i | −0.0533699 | + | 0.444018i | ||||
\(66\) | 3.21062 | + | 5.76171i | 0.395200 | + | 0.709217i | ||||
\(67\) | −0.0586497 | + | 0.218884i | −0.00716520 | + | 0.0267409i | −0.969416 | − | 0.245424i | \(-0.921073\pi\) |
0.962251 | + | 0.272165i | \(0.0877396\pi\) | |||||||
\(68\) | 1.14486 | − | 0.660987i | 0.138835 | − | 0.0801564i | ||||
\(69\) | −11.5338 | − | 0.175536i | −1.38850 | − | 0.0211321i | ||||
\(70\) | 1.17780 | + | 1.17780i | 0.140773 | + | 0.140773i | ||||
\(71\) | 3.95652 | + | 14.7659i | 0.469553 | + | 1.75240i | 0.641335 | + | 0.767261i | \(0.278381\pi\) |
−0.171782 | + | 0.985135i | \(0.554953\pi\) | |||||||
\(72\) | −0.864281 | + | 2.87281i | −0.101857 | + | 0.338564i | ||||
\(73\) | −0.682227 | + | 0.682227i | −0.0798487 | + | 0.0798487i | −0.745903 | − | 0.666054i | \(-0.767982\pi\) |
0.666054 | + | 0.745903i | \(0.267982\pi\) | |||||||
\(74\) | 8.71894 | + | 5.03388i | 1.01356 | + | 0.585177i | ||||
\(75\) | −1.48665 | − | 0.888751i | −0.171663 | − | 0.102624i | ||||
\(76\) | 5.54438 | + | 1.48561i | 0.635984 | + | 0.170411i | ||||
\(77\) | 6.34302 | 0.722854 | ||||||||
\(78\) | −0.839539 | + | 6.18831i | −0.0950590 | + | 0.700688i | ||||
\(79\) | −8.02282 | −0.902638 | −0.451319 | − | 0.892363i | \(-0.649046\pi\) | ||||
−0.451319 | + | 0.892363i | \(0.649046\pi\) | |||||||
\(80\) | −0.965926 | − | 0.258819i | −0.107994 | − | 0.0289368i | ||||
\(81\) | −4.96583 | + | 7.50604i | −0.551758 | + | 0.834004i | ||||
\(82\) | −3.88582 | − | 2.24348i | −0.429117 | − | 0.247751i | ||||
\(83\) | −8.80953 | + | 8.80953i | −0.966972 | + | 0.966972i | −0.999472 | − | 0.0324997i | \(-0.989653\pi\) |
0.0324997 | + | 0.999472i | \(0.489653\pi\) | |||||||
\(84\) | 2.00872 | + | 2.07081i | 0.219169 | + | 0.225944i | ||||
\(85\) | 0.342152 | + | 1.27693i | 0.0371116 | + | 0.138502i | ||||
\(86\) | 5.14765 | + | 5.14765i | 0.555085 | + | 0.555085i | ||||
\(87\) | −0.0404297 | + | 2.65648i | −0.00433452 | + | 0.284805i | ||||
\(88\) | −3.29793 | + | 1.90406i | −0.351561 | + | 0.202974i | ||||
\(89\) | 2.31981 | − | 8.65764i | 0.245899 | − | 0.917708i | −0.727030 | − | 0.686606i | \(-0.759100\pi\) |
0.972929 | − | 0.231103i | \(-0.0742334\pi\) | |||||||
\(90\) | −2.55123 | − | 1.57837i | −0.268923 | − | 0.166375i | ||||
\(91\) | 4.80548 | + | 3.60202i | 0.503752 | + | 0.377595i | ||||
\(92\) | − | 6.65980i | − | 0.694333i | ||||||
\(93\) | 13.8918 | − | 3.49661i | 1.44051 | − | 0.362581i | ||||
\(94\) | −6.49619 | − | 11.2517i | −0.670031 | − | 1.16053i | ||||
\(95\) | −2.86998 | + | 4.97095i | −0.294454 | + | 0.510009i | ||||
\(96\) | −1.66602 | − | 0.473695i | −0.170037 | − | 0.0483463i | ||||
\(97\) | −1.63135 | + | 0.437120i | −0.165639 | + | 0.0443828i | −0.340685 | − | 0.940177i | \(-0.610659\pi\) |
0.175046 | + | 0.984560i | \(0.443992\pi\) | |||||||
\(98\) | −4.08161 | + | 1.09366i | −0.412305 | + | 0.110477i | ||||
\(99\) | −11.1200 | + | 2.61966i | −1.11760 | + | 0.263286i | ||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | 3.60713 | + | 6.24773i | 0.358923 | + | 0.621672i | 0.987781 | − | 0.155848i | \(-0.0498109\pi\) |
−0.628859 | + | 0.777520i | \(0.716478\pi\) | |||||||
\(102\) | 0.558899 | + | 2.22047i | 0.0553393 | + | 0.219859i | ||||
\(103\) | 14.1200i | 1.39129i | 0.718387 | + | 0.695643i | \(0.244881\pi\) | ||||
−0.718387 | + | 0.695643i | \(0.755119\pi\) | |||||||
\(104\) | −3.57978 | − | 0.430282i | −0.351027 | − | 0.0421926i | ||||
\(105\) | −2.52014 | + | 1.40431i | −0.245941 | + | 0.137047i | ||||
\(106\) | −0.0782818 | + | 0.292152i | −0.00760340 | + | 0.0283763i | ||||
\(107\) | 5.10228 | − | 2.94580i | 0.493256 | − | 0.284781i | −0.232668 | − | 0.972556i | \(-0.574746\pi\) |
0.725924 | + | 0.687775i | \(0.241412\pi\) | |||||||
\(108\) | −4.37674 | − | 2.80074i | −0.421152 | − | 0.269502i | ||||
\(109\) | 7.40188 | + | 7.40188i | 0.708971 | + | 0.708971i | 0.966319 | − | 0.257348i | \(-0.0828485\pi\) |
−0.257348 | + | 0.966319i | \(0.582849\pi\) | |||||||
\(110\) | −0.985615 | − | 3.67836i | −0.0939747 | − | 0.350718i | ||||
\(111\) | −12.5166 | + | 12.1414i | −1.18803 | + | 1.15241i | ||||
\(112\) | −1.17780 | + | 1.17780i | −0.111291 | + | 0.111291i | ||||
\(113\) | 9.89888 | + | 5.71512i | 0.931208 | + | 0.537633i | 0.887194 | − | 0.461398i | \(-0.152652\pi\) |
0.0440148 | + | 0.999031i | \(0.485985\pi\) | |||||||
\(114\) | −5.10140 | + | 8.53330i | −0.477790 | + | 0.799217i | ||||
\(115\) | 6.43288 | + | 1.72368i | 0.599869 | + | 0.160734i | ||||
\(116\) | −1.53390 | −0.142419 | ||||||||
\(117\) | −9.91214 | − | 4.33006i | −0.916378 | − | 0.400314i | ||||
\(118\) | 3.84722 | 0.354165 | ||||||||
\(119\) | 2.12692 | + | 0.569907i | 0.194975 | + | 0.0522433i | ||||
\(120\) | 0.888751 | − | 1.48665i | 0.0811315 | − | 0.135712i | ||||
\(121\) | −3.03264 | − | 1.75090i | −0.275695 | − | 0.159173i | ||||
\(122\) | −3.16562 | + | 3.16562i | −0.286602 | + | 0.286602i | ||||
\(123\) | 5.57837 | − | 5.41112i | 0.502985 | − | 0.487904i | ||||
\(124\) | 2.14059 | + | 7.98877i | 0.192230 | + | 0.717413i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | −4.40152 | + | 2.36563i | −0.392119 | + | 0.210747i | ||||
\(127\) | −3.58413 | + | 2.06930i | −0.318040 | + | 0.183621i | −0.650519 | − | 0.759490i | \(-0.725448\pi\) |
0.332478 | + | 0.943111i | \(0.392115\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −11.0145 | + | 6.13765i | −0.969772 | + | 0.540390i | ||||
\(130\) | 1.34214 | − | 3.34644i | 0.117713 | − | 0.293502i | ||||
\(131\) | − | 4.18756i | − | 0.365869i | −0.983125 | − | 0.182935i | \(-0.941440\pi\) | ||
0.983125 | − | 0.182935i | \(-0.0585597\pi\) | |||||||
\(132\) | −1.60998 | − | 6.39635i | −0.140131 | − | 0.556731i | ||||
\(133\) | 4.78040 | + | 8.27989i | 0.414513 | + | 0.717958i | ||||
\(134\) | 0.113303 | − | 0.196246i | 0.00978785 | − | 0.0169531i | ||||
\(135\) | 3.83809 | − | 3.50272i | 0.330330 | − | 0.301466i | ||||
\(136\) | −1.27693 | + | 0.342152i | −0.109496 | + | 0.0293393i | ||||
\(137\) | −11.6063 | + | 3.10990i | −0.991593 | + | 0.265697i | −0.717920 | − | 0.696126i | \(-0.754906\pi\) |
−0.273674 | + | 0.961823i | \(0.588239\pi\) | |||||||
\(138\) | 11.0953 | + | 3.15472i | 0.944499 | + | 0.268547i | ||||
\(139\) | −1.87876 | + | 3.25411i | −0.159354 | + | 0.276010i | −0.934636 | − | 0.355606i | \(-0.884275\pi\) |
0.775282 | + | 0.631616i | \(0.217608\pi\) | |||||||
\(140\) | −0.832827 | − | 1.44250i | −0.0703867 | − | 0.121913i | ||||
\(141\) | 21.8228 | − | 5.49287i | 1.83781 | − | 0.462583i | ||||
\(142\) | − | 15.2868i | − | 1.28284i | ||||||
\(143\) | −5.39709 | − | 12.6252i | −0.451327 | − | 1.05577i | ||||
\(144\) | 1.57837 | − | 2.55123i | 0.131531 | − | 0.212602i | ||||
\(145\) | 0.397002 | − | 1.48163i | 0.0329692 | − | 0.123043i | ||||
\(146\) | 0.835555 | − | 0.482408i | 0.0691510 | − | 0.0399243i | ||||
\(147\) | 0.111376 | − | 7.31810i | 0.00918616 | − | 0.603587i | ||||
\(148\) | −7.11898 | − | 7.11898i | −0.585177 | − | 0.585177i | ||||
\(149\) | −0.101260 | − | 0.377907i | −0.00829554 | − | 0.0309594i | 0.961654 | − | 0.274265i | \(-0.0884347\pi\) |
−0.969950 | + | 0.243306i | \(0.921768\pi\) | |||||||
\(150\) | 1.20597 | + | 1.24324i | 0.0984667 | + | 0.101510i | ||||
\(151\) | −13.6378 | + | 13.6378i | −1.10983 | + | 1.10983i | −0.116655 | + | 0.993172i | \(0.537217\pi\) |
−0.993172 | + | 0.116655i | \(0.962783\pi\) | |||||||
\(152\) | −4.97095 | − | 2.86998i | −0.403198 | − | 0.232786i | ||||
\(153\) | −3.96409 | − | 0.120689i | −0.320477 | − | 0.00975714i | ||||
\(154\) | −6.12688 | − | 1.64169i | −0.493718 | − | 0.132291i | ||||
\(155\) | −8.27059 | −0.664310 | ||||||||
\(156\) | 2.41258 | − | 5.76016i | 0.193161 | − | 0.461182i | ||||
\(157\) | 15.9176 | 1.27036 | 0.635180 | − | 0.772364i | \(-0.280926\pi\) | ||||
0.635180 | + | 0.772364i | \(0.280926\pi\) | |||||||
\(158\) | 7.74945 | + | 2.07646i | 0.616513 | + | 0.165194i | ||||
\(159\) | −0.449648 | − | 0.268810i | −0.0356594 | − | 0.0213180i | ||||
\(160\) | 0.866025 | + | 0.500000i | 0.0684653 | + | 0.0395285i | ||||
\(161\) | 7.84389 | − | 7.84389i | 0.618185 | − | 0.618185i | ||||
\(162\) | 6.73932 | − | 5.96502i | 0.529491 | − | 0.468656i | ||||
\(163\) | −3.45420 | − | 12.8913i | −0.270554 | − | 1.00972i | −0.958762 | − | 0.284209i | \(-0.908269\pi\) |
0.688208 | − | 0.725513i | \(-0.258397\pi\) | |||||||
\(164\) | 3.17276 | + | 3.17276i | 0.247751 | + | 0.247751i | ||||
\(165\) | 6.59510 | + | 0.100373i | 0.513428 | + | 0.00781401i | ||||
\(166\) | 10.7894 | − | 6.22928i | 0.837422 | − | 0.483486i | ||||
\(167\) | 2.70988 | − | 10.1134i | 0.209697 | − | 0.782599i | −0.778270 | − | 0.627930i | \(-0.783902\pi\) |
0.987966 | − | 0.154669i | \(-0.0494310\pi\) | |||||||
\(168\) | −1.40431 | − | 2.52014i | −0.108345 | − | 0.194433i | ||||
\(169\) | 3.08064 | − | 12.6297i | 0.236972 | − | 0.971516i | ||||
\(170\) | − | 1.32197i | − | 0.101391i | ||||||
\(171\) | −11.8001 | − | 12.5412i | −0.902378 | − | 0.959050i | ||||
\(172\) | −3.63994 | − | 6.30456i | −0.277543 | − | 0.480718i | ||||
\(173\) | −4.64852 | + | 8.05147i | −0.353420 | + | 0.612142i | −0.986846 | − | 0.161661i | \(-0.948315\pi\) |
0.633426 | + | 0.773803i | \(0.281648\pi\) | |||||||
\(174\) | 0.726600 | − | 2.55550i | 0.0550834 | − | 0.193732i | ||||
\(175\) | 1.60890 | − | 0.431103i | 0.121621 | − | 0.0325883i | ||||
\(176\) | 3.67836 | − | 0.985615i | 0.277267 | − | 0.0742935i | ||||
\(177\) | −1.82241 | + | 6.40953i | −0.136981 | + | 0.481770i | ||||
\(178\) | −4.48153 | + | 7.76223i | −0.335905 | + | 0.581804i | ||||
\(179\) | 7.73613 | + | 13.3994i | 0.578226 | + | 1.00152i | 0.995683 | + | 0.0928197i | \(0.0295880\pi\) |
−0.417457 | + | 0.908697i | \(0.637079\pi\) | |||||||
\(180\) | 2.05578 | + | 2.18489i | 0.153229 | + | 0.162852i | ||||
\(181\) | − | 22.8979i | − | 1.70199i | −0.525173 | − | 0.850995i | \(-0.676000\pi\) | ||
0.525173 | − | 0.850995i | \(-0.324000\pi\) | |||||||
\(182\) | −3.70947 | − | 4.72304i | −0.274964 | − | 0.350095i | ||||
\(183\) | −3.77444 | − | 6.77352i | −0.279015 | − | 0.500713i | ||||
\(184\) | −1.72368 | + | 6.43288i | −0.127072 | + | 0.474238i | ||||
\(185\) | 8.71894 | − | 5.03388i | 0.641029 | − | 0.370098i | ||||
\(186\) | −14.3234 | − | 0.217992i | −1.05024 | − | 0.0159840i | ||||
\(187\) | −3.55974 | − | 3.55974i | −0.260314 | − | 0.260314i | ||||
\(188\) | 3.36268 | + | 12.5497i | 0.245248 | + | 0.915280i | ||||
\(189\) | −1.85620 | − | 8.45360i | −0.135019 | − | 0.614909i | ||||
\(190\) | 4.05877 | − | 4.05877i | 0.294454 | − | 0.294454i | ||||
\(191\) | −6.68706 | − | 3.86078i | −0.483859 | − | 0.279356i | 0.238164 | − | 0.971225i | \(-0.423454\pi\) |
−0.722023 | + | 0.691869i | \(0.756788\pi\) | |||||||
\(192\) | 1.48665 | + | 0.888751i | 0.107290 | + | 0.0641401i | ||||
\(193\) | −6.17479 | − | 1.65453i | −0.444471 | − | 0.119096i | 0.0296403 | − | 0.999561i | \(-0.490564\pi\) |
−0.474111 | + | 0.880465i | \(0.657230\pi\) | |||||||
\(194\) | 1.68890 | 0.121256 | ||||||||
\(195\) | 4.93946 | + | 3.82122i | 0.353722 | + | 0.273643i | ||||
\(196\) | 4.22560 | 0.301828 | ||||||||
\(197\) | 14.1811 | + | 3.79982i | 1.01036 | + | 0.270726i | 0.725781 | − | 0.687925i | \(-0.241478\pi\) |
0.284582 | + | 0.958652i | \(0.408145\pi\) | |||||||
\(198\) | 11.4191 | + | 0.347661i | 0.811518 | + | 0.0247072i | ||||
\(199\) | −2.52204 | − | 1.45610i | −0.178782 | − | 0.103220i | 0.407938 | − | 0.913010i | \(-0.366248\pi\) |
−0.586720 | + | 0.809790i | \(0.699581\pi\) | |||||||
\(200\) | −0.707107 | + | 0.707107i | −0.0500000 | + | 0.0500000i | ||||
\(201\) | 0.273278 | + | 0.281725i | 0.0192755 | + | 0.0198713i | ||||
\(202\) | −1.86719 | − | 6.96843i | −0.131375 | − | 0.490297i | ||||
\(203\) | −1.80662 | − | 1.80662i | −0.126800 | − | 0.126800i | ||||
\(204\) | 0.0348440 | − | 2.28946i | 0.00243957 | − | 0.160294i | ||||
\(205\) | −3.88582 | + | 2.24348i | −0.271397 | + | 0.156691i | ||||
\(206\) | 3.65453 | − | 13.6389i | 0.254623 | − | 0.950266i | ||||
\(207\) | −10.5116 | + | 16.9907i | −0.730609 | + | 1.18093i | ||||
\(208\) | 3.34644 | + | 1.34214i | 0.232034 | + | 0.0930605i | ||||
\(209\) | − | 21.8585i | − | 1.51198i | ||||||
\(210\) | 2.79773 | − | 0.704199i | 0.193062 | − | 0.0485944i | ||||
\(211\) | 3.43660 | + | 5.95236i | 0.236585 | + | 0.409777i | 0.959732 | − | 0.280917i | \(-0.0906384\pi\) |
−0.723147 | + | 0.690694i | \(0.757305\pi\) | |||||||
\(212\) | 0.151229 | − | 0.261936i | 0.0103864 | − | 0.0179898i | ||||
\(213\) | 25.4681 | + | 7.24130i | 1.74505 | + | 0.496166i | ||||
\(214\) | −5.69085 | + | 1.52486i | −0.389019 | + | 0.104237i | ||||
\(215\) | 7.03182 | − | 1.88417i | 0.479566 | − | 0.128499i | ||||
\(216\) | 3.50272 | + | 3.83809i | 0.238330 | + | 0.261149i | ||||
\(217\) | −6.88797 | + | 11.9303i | −0.467586 | + | 0.809882i | ||||
\(218\) | −5.23392 | − | 9.06541i | −0.354486 | − | 0.613987i | ||||
\(219\) | 0.407901 | + | 1.62056i | 0.0275634 | + | 0.109507i | ||||
\(220\) | 3.80812i | 0.256744i | ||||||||
\(221\) | −0.675391 | − | 4.71835i | −0.0454317 | − | 0.317391i | ||||
\(222\) | 15.2326 | − | 8.48812i | 1.02234 | − | 0.569685i | ||||
\(223\) | 0.408906 | − | 1.52606i | 0.0273824 | − | 0.102192i | −0.950882 | − | 0.309553i | \(-0.899821\pi\) |
0.978265 | + | 0.207360i | \(0.0664873\pi\) | |||||||
\(224\) | 1.44250 | − | 0.832827i | 0.0963810 | − | 0.0556456i | ||||
\(225\) | −2.64252 | + | 1.42024i | −0.176168 | + | 0.0946828i | ||||
\(226\) | −8.08240 | − | 8.08240i | −0.537633 | − | 0.537633i | ||||
\(227\) | 1.72914 | + | 6.45324i | 0.114767 | + | 0.428317i | 0.999269 | − | 0.0382192i | \(-0.0121685\pi\) |
−0.884502 | + | 0.466536i | \(0.845502\pi\) | |||||||
\(228\) | 7.13616 | − | 6.92220i | 0.472604 | − | 0.458434i | ||||
\(229\) | 16.0756 | − | 16.0756i | 1.06230 | − | 1.06230i | 0.0643787 | − | 0.997926i | \(-0.479493\pi\) |
0.997926 | − | 0.0643787i | \(-0.0205066\pi\) | |||||||
\(230\) | −5.76756 | − | 3.32990i | −0.380302 | − | 0.219567i | ||||
\(231\) | 5.63736 | − | 9.42983i | 0.370911 | − | 0.620437i | ||||
\(232\) | 1.48163 | + | 0.397002i | 0.0972738 | + | 0.0260644i | ||||
\(233\) | −20.9127 | −1.37004 | −0.685018 | − | 0.728526i | \(-0.740206\pi\) | ||||
−0.685018 | + | 0.728526i | \(0.740206\pi\) | |||||||
\(234\) | 8.45369 | + | 6.74797i | 0.552635 | + | 0.441128i | ||||
\(235\) | −12.9924 | −0.847530 | ||||||||
\(236\) | −3.71613 | − | 0.995733i | −0.241899 | − | 0.0648167i | ||||
\(237\) | −7.13029 | + | 11.9271i | −0.463162 | + | 0.774749i | ||||
\(238\) | −1.90695 | − | 1.10098i | −0.123609 | − | 0.0713657i | ||||
\(239\) | 2.33729 | − | 2.33729i | 0.151186 | − | 0.151186i | −0.627461 | − | 0.778648i | \(-0.715906\pi\) |
0.778648 | + | 0.627461i | \(0.215906\pi\) | |||||||
\(240\) | −1.24324 | + | 1.20597i | −0.0802508 | + | 0.0778447i | ||||
\(241\) | 2.66309 | + | 9.93879i | 0.171545 | + | 0.640214i | 0.997114 | + | 0.0759136i | \(0.0241873\pi\) |
−0.825570 | + | 0.564300i | \(0.809146\pi\) | |||||||
\(242\) | 2.47614 | + | 2.47614i | 0.159173 | + | 0.159173i | ||||
\(243\) | 6.74544 | + | 14.0534i | 0.432720 | + | 0.901528i | ||||
\(244\) | 3.87708 | − | 2.23843i | 0.248205 | − | 0.143301i | ||||
\(245\) | −1.09366 | + | 4.08161i | −0.0698717 | + | 0.260765i | ||||
\(246\) | −6.78879 | + | 3.78295i | −0.432837 | + | 0.241192i | ||||
\(247\) | 12.4128 | − | 16.5600i | 0.789810 | − | 1.05369i | ||||
\(248\) | − | 8.27059i | − | 0.525183i | ||||||
\(249\) | 5.26719 | + | 20.9262i | 0.333794 | + | 1.32614i | ||||
\(250\) | −0.500000 | − | 0.866025i | −0.0316228 | − | 0.0547723i | ||||
\(251\) | −11.4780 | + | 19.8805i | −0.724485 | + | 1.25485i | 0.234700 | + | 0.972068i | \(0.424589\pi\) |
−0.959186 | + | 0.282777i | \(0.908744\pi\) | |||||||
\(252\) | 4.86382 | − | 1.14583i | 0.306392 | − | 0.0721803i | ||||
\(253\) | −24.4972 | + | 6.56400i | −1.54012 | + | 0.412675i | ||||
\(254\) | 3.99758 | − | 1.07115i | 0.250831 | − | 0.0672098i | ||||
\(255\) | 2.20243 | + | 0.626213i | 0.137922 | + | 0.0392150i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.27804 | − | 3.94568i | −0.142100 | − | 0.246125i | 0.786187 | − | 0.617989i | \(-0.212052\pi\) |
−0.928287 | + | 0.371864i | \(0.878719\pi\) | |||||||
\(258\) | 12.2277 | − | 3.07776i | 0.761265 | − | 0.191613i | ||||
\(259\) | − | 16.7694i | − | 1.04200i | ||||||
\(260\) | −2.16253 | + | 2.88504i | −0.134114 | + | 0.178923i | ||||
\(261\) | 3.91332 | + | 2.42106i | 0.242228 | + | 0.149860i | ||||
\(262\) | −1.08382 | + | 4.04488i | −0.0669587 | + | 0.249893i | ||||
\(263\) | −12.3668 | + | 7.13996i | −0.762568 | + | 0.440269i | −0.830217 | − | 0.557441i | \(-0.811783\pi\) |
0.0676492 | + | 0.997709i | \(0.478450\pi\) | |||||||
\(264\) | −0.100373 | + | 6.59510i | −0.00617751 | + | 0.405900i | ||||
\(265\) | 0.213870 | + | 0.213870i | 0.0131379 | + | 0.0131379i | ||||
\(266\) | −2.47452 | − | 9.23502i | −0.151722 | − | 0.566235i | ||||
\(267\) | −10.8091 | − | 11.1432i | −0.661508 | − | 0.681955i | ||||
\(268\) | −0.160234 | + | 0.160234i | −0.00978785 | + | 0.00978785i | ||||
\(269\) | −15.2218 | − | 8.78829i | −0.928087 | − | 0.535831i | −0.0418811 | − | 0.999123i | \(-0.513335\pi\) |
−0.886206 | + | 0.463291i | \(0.846668\pi\) | |||||||
\(270\) | −4.61388 | + | 2.39000i | −0.280792 | + | 0.145451i | ||||
\(271\) | −27.7623 | − | 7.43888i | −1.68644 | − | 0.451879i | −0.716971 | − | 0.697103i | \(-0.754472\pi\) |
−0.969467 | + | 0.245224i | \(0.921139\pi\) | |||||||
\(272\) | 1.32197 | 0.0801564 | ||||||||
\(273\) | 9.62582 | − | 3.94276i | 0.582581 | − | 0.238627i | ||||
\(274\) | 12.0157 | 0.725897 | ||||||||
\(275\) | −3.67836 | − | 0.985615i | −0.221814 | − | 0.0594348i | ||||
\(276\) | −9.90078 | − | 5.91891i | −0.595957 | − | 0.356277i | ||||
\(277\) | 12.2976 | + | 7.10003i | 0.738892 | + | 0.426600i | 0.821666 | − | 0.569969i | \(-0.193045\pi\) |
−0.0827742 | + | 0.996568i | \(0.526378\pi\) | |||||||
\(278\) | 2.65697 | − | 2.65697i | 0.159354 | − | 0.159354i | ||||
\(279\) | 7.14811 | − | 23.7598i | 0.427946 | − | 1.42246i | ||||
\(280\) | 0.431103 | + | 1.60890i | 0.0257633 | + | 0.0961501i | ||||
\(281\) | −4.41645 | − | 4.41645i | −0.263463 | − | 0.263463i | 0.562996 | − | 0.826460i | \(-0.309649\pi\) |
−0.826460 | + | 0.562996i | \(0.809649\pi\) | |||||||
\(282\) | −22.5009 | − | 0.342447i | −1.33991 | − | 0.0203924i | ||||
\(283\) | 14.6603 | − | 8.46410i | 0.871462 | − | 0.503139i | 0.00362808 | − | 0.999993i | \(-0.498845\pi\) |
0.867834 | + | 0.496855i | \(0.165512\pi\) | |||||||
\(284\) | −3.95652 | + | 14.7659i | −0.234777 | + | 0.876198i | ||||
\(285\) | 4.83936 | + | 8.68459i | 0.286659 | + | 0.514431i | ||||
\(286\) | 1.94555 | + | 13.5918i | 0.115043 | + | 0.803702i | ||||
\(287\) | 7.47372i | 0.441160i | ||||||||
\(288\) | −2.18489 | + | 2.05578i | −0.128746 | + | 0.121138i | ||||
\(289\) | 7.62619 | + | 13.2090i | 0.448600 | + | 0.776997i | ||||
\(290\) | −0.766948 | + | 1.32839i | −0.0450368 | + | 0.0780060i | ||||
\(291\) | −0.800025 | + | 2.81374i | −0.0468983 | + | 0.164944i | ||||
\(292\) | −0.931940 | + | 0.249713i | −0.0545377 | + | 0.0146133i | ||||
\(293\) | −10.8549 | + | 2.90856i | −0.634149 | + | 0.169920i | −0.561552 | − | 0.827442i | \(-0.689795\pi\) |
−0.0725974 | + | 0.997361i | \(0.523129\pi\) | |||||||
\(294\) | −2.00164 | + | 7.03992i | −0.116738 | + | 0.410576i | ||||
\(295\) | 1.92361 | − | 3.33179i | 0.111997 | − | 0.193984i | ||||
\(296\) | 5.03388 | + | 8.71894i | 0.292588 | + | 0.506778i | ||||
\(297\) | −5.98837 | + | 18.8597i | −0.347481 | + | 1.09435i | ||||
\(298\) | 0.391239i | 0.0226638i | ||||||||
\(299\) | −22.2866 | − | 8.93837i | −1.28887 | − | 0.516919i | ||||
\(300\) | −0.843099 | − | 1.51301i | −0.0486763 | − | 0.0873534i | ||||
\(301\) | 3.13838 | − | 11.7126i | 0.180893 | − | 0.675102i | ||||
\(302\) | 16.7028 | − | 9.64337i | 0.961139 | − | 0.554914i | ||||
\(303\) | 12.4940 | + | 0.190150i | 0.717762 | + | 0.0109238i | ||||
\(304\) | 4.05877 | + | 4.05877i | 0.232786 | + | 0.232786i | ||||
\(305\) | 1.15870 | + | 4.32432i | 0.0663469 | + | 0.247610i | ||||
\(306\) | 3.79778 | + | 1.14256i | 0.217104 | + | 0.0653157i | ||||
\(307\) | −20.4845 | + | 20.4845i | −1.16911 | + | 1.16911i | −0.186694 | + | 0.982418i | \(0.559777\pi\) |
−0.982418 | + | 0.186694i | \(0.940223\pi\) | |||||||
\(308\) | 5.49321 | + | 3.17151i | 0.313005 | + | 0.180713i | ||||
\(309\) | 20.9915 | + | 12.5492i | 1.19416 | + | 0.713898i | ||||
\(310\) | 7.98877 | + | 2.14059i | 0.453732 | + | 0.121577i | ||||
\(311\) | 8.83372 | 0.500914 | 0.250457 | − | 0.968128i | \(-0.419419\pi\) | ||||
0.250457 | + | 0.968128i | \(0.419419\pi\) | |||||||
\(312\) | −3.82122 | + | 4.93946i | −0.216334 | + | 0.279642i | ||||
\(313\) | −20.4565 | −1.15627 | −0.578135 | − | 0.815941i | \(-0.696219\pi\) | ||||
−0.578135 | + | 0.815941i | \(0.696219\pi\) | |||||||
\(314\) | −15.3752 | − | 4.11977i | −0.867673 | − | 0.232492i | ||||
\(315\) | −0.152065 | + | 4.99465i | −0.00856791 | + | 0.281417i | ||||
\(316\) | −6.94796 | − | 4.01141i | −0.390854 | − | 0.225659i | ||||
\(317\) | 14.7971 | − | 14.7971i | 0.831089 | − | 0.831089i | −0.156577 | − | 0.987666i | \(-0.550046\pi\) |
0.987666 | + | 0.156577i | \(0.0500460\pi\) | |||||||
\(318\) | 0.364754 | + | 0.376028i | 0.0204544 | + | 0.0210866i | ||||
\(319\) | 1.51183 | + | 5.64223i | 0.0846463 | + | 0.315904i | ||||
\(320\) | −0.707107 | − | 0.707107i | −0.0395285 | − | 0.0395285i | ||||
\(321\) | 0.155288 | − | 10.2034i | 0.00866734 | − | 0.569497i | ||||
\(322\) | −9.60676 | + | 5.54646i | −0.535364 | + | 0.309092i | ||||
\(323\) | 1.96394 | − | 7.32953i | 0.109277 | − | 0.407826i | ||||
\(324\) | −8.05355 | + | 4.01750i | −0.447419 | + | 0.223195i | ||||
\(325\) | −2.22703 | − | 2.83555i | −0.123534 | − | 0.157288i | ||||
\(326\) | 13.3460i | 0.739168i | ||||||||
\(327\) | 17.5824 | − | 4.42555i | 0.972310 | − | 0.244734i | ||||
\(328\) | −2.24348 | − | 3.88582i | −0.123875 | − | 0.214559i | ||||
\(329\) | −10.8204 | + | 18.7415i | −0.596549 | + | 1.03325i | ||||
\(330\) | −6.34440 | − | 1.80389i | −0.349248 | − | 0.0993009i | ||||
\(331\) | −26.8683 | + | 7.19933i | −1.47681 | + | 0.395711i | −0.905261 | − | 0.424855i | \(-0.860325\pi\) |
−0.571551 | + | 0.820566i | \(0.693658\pi\) | |||||||
\(332\) | −12.0340 | + | 3.22451i | −0.660454 | + | 0.176968i | ||||
\(333\) | 6.92575 | + | 29.3985i | 0.379529 | + | 1.61103i | ||||
\(334\) | −5.23508 | + | 9.06743i | −0.286451 | + | 0.496148i | ||||
\(335\) | −0.113303 | − | 0.196246i | −0.00619038 | − | 0.0107221i | ||||
\(336\) | 0.704199 | + | 2.79773i | 0.0384172 | + | 0.152629i | ||||
\(337\) | − | 5.59425i | − | 0.304738i | −0.988324 | − | 0.152369i | \(-0.951310\pi\) | ||
0.988324 | − | 0.152369i | \(-0.0486903\pi\) | |||||||
\(338\) | −6.24448 | + | 11.4020i | −0.339655 | + | 0.620189i | ||||
\(339\) | 17.2940 | − | 9.63682i | 0.939282 | − | 0.523400i | ||||
\(340\) | −0.342152 | + | 1.27693i | −0.0185558 | + | 0.0692512i | ||||
\(341\) | 27.2758 | − | 15.7477i | 1.47707 | − | 0.852786i | ||||
\(342\) | 8.15214 | + | 15.1680i | 0.440817 | + | 0.820190i | ||||
\(343\) | 13.2215 | + | 13.2215i | 0.713891 | + | 0.713891i | ||||
\(344\) | 1.88417 | + | 7.03182i | 0.101588 | + | 0.379130i | ||||
\(345\) | 8.27974 | − | 8.03149i | 0.445766 | − | 0.432401i | ||||
\(346\) | 6.57400 | − | 6.57400i | 0.353420 | − | 0.353420i | ||||
\(347\) | 29.8164 | + | 17.2145i | 1.60063 | + | 0.924122i | 0.991362 | + | 0.131154i | \(0.0418683\pi\) |
0.609264 | + | 0.792967i | \(0.291465\pi\) | |||||||
\(348\) | −1.36325 | + | 2.28036i | −0.0730780 | + | 0.122240i | ||||
\(349\) | −14.0346 | − | 3.76057i | −0.751256 | − | 0.201298i | −0.137181 | − | 0.990546i | \(-0.543804\pi\) |
−0.614075 | + | 0.789248i | \(0.710471\pi\) | |||||||
\(350\) | −1.66565 | −0.0890330 | ||||||||
\(351\) | −15.2467 | + | 10.8875i | −0.813809 | + | 0.581133i | ||||
\(352\) | −3.80812 | −0.202974 | ||||||||
\(353\) | −9.59155 | − | 2.57005i | −0.510507 | − | 0.136790i | −0.00563473 | − | 0.999984i | \(-0.501794\pi\) |
−0.504872 | + | 0.863194i | \(0.668460\pi\) | |||||||
\(354\) | 3.41922 | − | 5.71945i | 0.181729 | − | 0.303986i | ||||
\(355\) | −13.2388 | − | 7.64342i | −0.702642 | − | 0.405670i | ||||
\(356\) | 6.33783 | − | 6.33783i | 0.335905 | − | 0.335905i | ||||
\(357\) | 2.73756 | − | 2.65548i | 0.144887 | − | 0.140543i | ||||
\(358\) | −4.00452 | − | 14.9451i | −0.211645 | − | 0.789871i | ||||
\(359\) | 11.6427 | + | 11.6427i | 0.614477 | + | 0.614477i | 0.944109 | − | 0.329632i | \(-0.106925\pi\) |
−0.329632 | + | 0.944109i | \(0.606925\pi\) | |||||||
\(360\) | −1.42024 | − | 2.64252i | −0.0748533 | − | 0.139273i | ||||
\(361\) | 12.0786 | − | 6.97359i | 0.635717 | − | 0.367031i | ||||
\(362\) | −5.92642 | + | 22.1177i | −0.311486 | + | 1.16248i | ||||
\(363\) | −5.29824 | + | 2.95236i | −0.278085 | + | 0.154959i | ||||
\(364\) | 2.36066 | + | 5.52219i | 0.123732 | + | 0.289441i | ||||
\(365\) | − | 0.964815i | − | 0.0505007i | ||||||
\(366\) | 1.89271 | + | 7.51962i | 0.0989337 | + | 0.393057i | ||||
\(367\) | 2.43188 | + | 4.21213i | 0.126943 | + | 0.219872i | 0.922491 | − | 0.386019i | \(-0.126150\pi\) |
−0.795548 | + | 0.605891i | \(0.792817\pi\) | |||||||
\(368\) | 3.32990 | − | 5.76756i | 0.173583 | − | 0.300655i | ||||
\(369\) | −3.08664 | − | 13.1022i | −0.160684 | − | 0.682074i | ||||
\(370\) | −9.72471 | + | 2.60573i | −0.505564 | + | 0.135465i | ||||
\(371\) | 0.486624 | − | 0.130390i | 0.0252642 | − | 0.00676954i | ||||
\(372\) | 13.7789 | + | 3.91774i | 0.714405 | + | 0.203125i | ||||
\(373\) | 18.2902 | − | 31.6796i | 0.947031 | − | 1.64031i | 0.195399 | − | 0.980724i | \(-0.437400\pi\) |
0.751632 | − | 0.659582i | \(-0.229267\pi\) | |||||||
\(374\) | 2.51712 | + | 4.35978i | 0.130157 | + | 0.225439i | ||||
\(375\) | 1.67966 | − | 0.422776i | 0.0867373 | − | 0.0218321i | ||||
\(376\) | − | 12.9924i | − | 0.670031i | ||||||
\(377\) | −2.05870 | + | 5.13310i | −0.106028 | + | 0.264368i | ||||
\(378\) | −0.395001 | + | 8.64597i | −0.0203167 | + | 0.444701i | ||||
\(379\) | −0.672900 | + | 2.51130i | −0.0345646 | + | 0.128997i | −0.981052 | − | 0.193743i | \(-0.937937\pi\) |
0.946488 | + | 0.322740i | \(0.104604\pi\) | |||||||
\(380\) | −4.97095 | + | 2.86998i | −0.255005 | + | 0.147227i | ||||
\(381\) | −0.109083 | + | 7.16744i | −0.00558851 | + | 0.367199i | ||||
\(382\) | 5.45996 | + | 5.45996i | 0.279356 | + | 0.279356i | ||||
\(383\) | 1.94574 | + | 7.26162i | 0.0994229 | + | 0.371051i | 0.997653 | − | 0.0684745i | \(-0.0218132\pi\) |
−0.898230 | + | 0.439526i | \(0.855147\pi\) | |||||||
\(384\) | −1.20597 | − | 1.24324i | −0.0615417 | − | 0.0634439i | ||||
\(385\) | −4.48519 | + | 4.48519i | −0.228586 | + | 0.228586i | ||||
\(386\) | 5.53616 | + | 3.19630i | 0.281783 | + | 0.162688i | ||||
\(387\) | −0.664613 | + | 21.8295i | −0.0337842 | + | 1.10966i | ||||
\(388\) | −1.63135 | − | 0.437120i | −0.0828195 | − | 0.0221914i | ||||
\(389\) | 3.37539 | 0.171139 | 0.0855694 | − | 0.996332i | \(-0.472729\pi\) | ||||
0.0855694 | + | 0.996332i | \(0.472729\pi\) | |||||||
\(390\) | −3.78215 | − | 4.96944i | −0.191517 | − | 0.251637i | ||||
\(391\) | −8.80409 | −0.445242 | ||||||||
\(392\) | −4.08161 | − | 1.09366i | −0.206153 | − | 0.0552384i | ||||
\(393\) | −6.22543 | − | 3.72170i | −0.314032 | − | 0.187735i | ||||
\(394\) | −12.7145 | − | 7.34069i | −0.640545 | − | 0.369819i | ||||
\(395\) | 5.67299 | − | 5.67299i | 0.285439 | − | 0.285439i | ||||
\(396\) | −10.9400 | − | 3.29129i | −0.549756 | − | 0.165394i | ||||
\(397\) | 0.728848 | + | 2.72010i | 0.0365798 | + | 0.136518i | 0.981801 | − | 0.189913i | \(-0.0608206\pi\) |
−0.945221 | + | 0.326431i | \(0.894154\pi\) | |||||||
\(398\) | 2.05923 | + | 2.05923i | 0.103220 | + | 0.103220i | ||||
\(399\) | 16.5579 | + | 0.251999i | 0.828930 | + | 0.0126157i | ||||
\(400\) | 0.866025 | − | 0.500000i | 0.0433013 | − | 0.0250000i | ||||
\(401\) | 8.32881 | − | 31.0836i | 0.415921 | − | 1.55224i | −0.367062 | − | 0.930196i | \(-0.619636\pi\) |
0.782984 | − | 0.622042i | \(-0.213697\pi\) | |||||||
\(402\) | −0.191051 | − | 0.342855i | −0.00952873 | − | 0.0171000i | ||||
\(403\) | 29.6069 | + | 3.55869i | 1.47483 | + | 0.177271i | ||||
\(404\) | 7.21425i | 0.358923i | ||||||||
\(405\) | −1.79620 | − | 8.81894i | −0.0892539 | − | 0.438217i | ||||
\(406\) | 1.27747 | + | 2.21264i | 0.0633998 | + | 0.109812i | ||||
\(407\) | −19.1696 | + | 33.2028i | −0.950203 | + | 1.64580i | ||||
\(408\) | −0.626213 | + | 2.20243i | −0.0310022 | + | 0.109037i | ||||
\(409\) | −2.65386 | + | 0.711101i | −0.131225 | + | 0.0351617i | −0.323834 | − | 0.946114i | \(-0.604972\pi\) |
0.192609 | + | 0.981276i | \(0.438305\pi\) | |||||||
\(410\) | 4.33407 | − | 1.16131i | 0.214044 | − | 0.0573530i | ||||
\(411\) | −5.69179 | + | 20.0184i | −0.280755 | + | 0.987435i | ||||
\(412\) | −7.06001 | + | 12.2283i | −0.347822 | + | 0.602445i | ||||
\(413\) | −3.20407 | − | 5.54960i | −0.157662 | − | 0.273078i | ||||
\(414\) | 14.5510 | − | 13.6911i | 0.715141 | − | 0.672881i | ||||
\(415\) | − | 12.4586i | − | 0.611567i | ||||||
\(416\) | −2.88504 | − | 2.16253i | −0.141451 | − | 0.106027i | ||||
\(417\) | 3.16796 | + | 5.68515i | 0.155136 | + | 0.278403i | ||||
\(418\) | −5.65739 | + | 21.1137i | −0.276712 | + | 1.03270i | ||||
\(419\) | 12.3545 | − | 7.13285i | 0.603555 | − | 0.348463i | −0.166884 | − | 0.985977i | \(-0.553371\pi\) |
0.770439 | + | 0.637514i | \(0.220037\pi\) | |||||||
\(420\) | −2.88466 | − | 0.0439025i | −0.140757 | − | 0.00214222i | ||||
\(421\) | −23.2751 | − | 23.2751i | −1.13436 | − | 1.13436i | −0.989444 | − | 0.144916i | \(-0.953709\pi\) |
−0.144916 | − | 0.989444i | \(-0.546291\pi\) | |||||||
\(422\) | −1.77891 | − | 6.63900i | −0.0865962 | − | 0.323181i | ||||
\(423\) | 11.2291 | − | 37.3246i | 0.545976 | − | 1.81478i | ||||
\(424\) | −0.213870 | + | 0.213870i | −0.0103864 | + | 0.0103864i | ||||
\(425\) | −1.14486 | − | 0.660987i | −0.0555340 | − | 0.0320626i | ||||
\(426\) | −22.7261 | − | 13.5862i | −1.10108 | − | 0.658253i | ||||
\(427\) | 7.20282 | + | 1.92999i | 0.348569 | + | 0.0933988i | ||||
\(428\) | 5.89160 | 0.284781 | ||||||||
\(429\) | −23.5658 | − | 3.19707i | −1.13777 | − | 0.154356i | ||||
\(430\) | −7.27987 | −0.351067 | ||||||||
\(431\) | 26.6309 | + | 7.13573i | 1.28277 | + | 0.343716i | 0.834909 | − | 0.550389i | \(-0.185520\pi\) |
0.447858 | + | 0.894105i | \(0.352187\pi\) | |||||||
\(432\) | −2.39000 | − | 4.61388i | −0.114989 | − | 0.221986i | ||||
\(433\) | 7.32263 | + | 4.22772i | 0.351903 | + | 0.203171i | 0.665523 | − | 0.746377i | \(-0.268208\pi\) |
−0.313620 | + | 0.949549i | \(0.601542\pi\) | |||||||
\(434\) | 9.74106 | − | 9.74106i | 0.467586 | − | 0.467586i | ||||
\(435\) | −1.84983 | − | 1.90700i | −0.0886924 | − | 0.0914338i | ||||
\(436\) | 2.70928 | + | 10.1112i | 0.129751 | + | 0.484236i | ||||
\(437\) | −27.0306 | − | 27.0306i | −1.29305 | − | 1.29305i | ||||
\(438\) | 0.0254302 | − | 1.67092i | 0.00121510 | − | 0.0798394i | ||||
\(439\) | 10.9300 | − | 6.31042i | 0.521659 | − | 0.301180i | −0.215954 | − | 0.976404i | \(-0.569286\pi\) |
0.737613 | + | 0.675224i | \(0.235953\pi\) | |||||||
\(440\) | 0.985615 | − | 3.67836i | 0.0469873 | − | 0.175359i | ||||
\(441\) | −10.7804 | − | 6.66955i | −0.513355 | − | 0.317598i | ||||
\(442\) | −0.568822 | + | 4.73238i | −0.0270561 | + | 0.225096i | ||||
\(443\) | − | 28.5436i | − | 1.35615i | −0.734994 | − | 0.678074i | \(-0.762815\pi\) | ||
0.734994 | − | 0.678074i | \(-0.237185\pi\) | |||||||
\(444\) | −16.9104 | + | 4.25641i | −0.802533 | + | 0.202000i | ||||
\(445\) | 4.48153 | + | 7.76223i | 0.212445 | + | 0.367965i | ||||
\(446\) | −0.789946 | + | 1.36823i | −0.0374050 | + | 0.0647874i | ||||
\(447\) | −0.651810 | − | 0.185328i | −0.0308296 | − | 0.00876571i | ||||
\(448\) | −1.60890 | + | 0.431103i | −0.0760133 | + | 0.0203677i | ||||
\(449\) | 28.8338 | − | 7.72600i | 1.36075 | − | 0.364612i | 0.496659 | − | 0.867946i | \(-0.334560\pi\) |
0.864092 | + | 0.503333i | \(0.167893\pi\) | |||||||
\(450\) | 2.92006 | − | 0.687914i | 0.137653 | − | 0.0324286i | ||||
\(451\) | 8.54344 | − | 14.7977i | 0.402295 | − | 0.696795i | ||||
\(452\) | 5.71512 | + | 9.89888i | 0.268817 | + | 0.465604i | ||||
\(453\) | 8.15398 | + | 32.3952i | 0.383107 | + | 1.52206i | ||||
\(454\) | − | 6.68089i | − | 0.313550i | ||||||
\(455\) | −5.94501 | + | 0.850975i | −0.278706 | + | 0.0398943i | ||||
\(456\) | −8.68459 | + | 4.83936i | −0.406693 | + | 0.226624i | ||||
\(457\) | −8.25749 | + | 30.8174i | −0.386269 | + | 1.44158i | 0.449887 | + | 0.893085i | \(0.351464\pi\) |
−0.836157 | + | 0.548491i | \(0.815203\pi\) | |||||||
\(458\) | −19.6885 | + | 11.3672i | −0.919982 | + | 0.531152i | ||||
\(459\) | −3.70251 | + | 5.78593i | −0.172818 | + | 0.270064i | ||||
\(460\) | 4.70919 | + | 4.70919i | 0.219567 | + | 0.219567i | ||||
\(461\) | 2.90972 | + | 10.8592i | 0.135519 | + | 0.505764i | 0.999995 | + | 0.00309039i | \(0.000983704\pi\) |
−0.864476 | + | 0.502674i | \(0.832350\pi\) | |||||||
\(462\) | −7.88589 | + | 7.64946i | −0.366885 | + | 0.355885i | ||||
\(463\) | 9.47819 | − | 9.47819i | 0.440489 | − | 0.440489i | −0.451687 | − | 0.892176i | \(-0.649178\pi\) |
0.892176 | + | 0.451687i | \(0.149178\pi\) | |||||||
\(464\) | −1.32839 | − | 0.766948i | −0.0616691 | − | 0.0356047i | ||||
\(465\) | −7.35050 | + | 12.2954i | −0.340871 | + | 0.570188i | ||||
\(466\) | 20.2001 | + | 5.41260i | 0.935752 | + | 0.250734i | ||||
\(467\) | 13.7987 | 0.638528 | 0.319264 | − | 0.947666i | \(-0.396564\pi\) | ||||
0.319264 | + | 0.947666i | \(0.396564\pi\) | |||||||
\(468\) | −6.41914 | − | 8.70601i | −0.296725 | − | 0.402436i | ||||
\(469\) | −0.377446 | −0.0174288 | ||||||||
\(470\) | 12.5497 | + | 3.36268i | 0.578874 | + | 0.155109i | ||||
\(471\) | 14.1468 | − | 23.6638i | 0.651849 | − | 1.09037i | ||||
\(472\) | 3.33179 | + | 1.92361i | 0.153358 | + | 0.0885412i | ||||
\(473\) | −19.6029 | + | 19.6029i | −0.901341 | + | 0.901341i | ||||
\(474\) | 9.97429 | − | 9.67524i | 0.458134 | − | 0.444399i | ||||
\(475\) | −1.48561 | − | 5.54438i | −0.0681646 | − | 0.254394i | ||||
\(476\) | 1.55701 | + | 1.55701i | 0.0713657 | + | 0.0713657i | ||||
\(477\) | −0.799251 | + | 0.429563i | −0.0365952 | + | 0.0196683i | ||||
\(478\) | −2.86258 | + | 1.65271i | −0.130931 | + | 0.0755932i | ||||
\(479\) | −8.00989 | + | 29.8933i | −0.365981 | + | 1.36586i | 0.500105 | + | 0.865965i | \(0.333295\pi\) |
−0.866086 | + | 0.499895i | \(0.833372\pi\) | |||||||
\(480\) | 1.51301 | − | 0.843099i | 0.0690589 | − | 0.0384820i | ||||
\(481\) | −33.3779 | + | 14.2686i | −1.52190 | + | 0.650592i | ||||
\(482\) | − | 10.2894i | − | 0.468669i | ||||||
\(483\) | −4.68983 | − | 18.6324i | −0.213395 | − | 0.847802i | ||||
\(484\) | −1.75090 | − | 3.03264i | −0.0795863 | − | 0.137847i | ||||
\(485\) | 0.844451 | − | 1.46263i | 0.0383445 | − | 0.0664147i | ||||
\(486\) | −2.87830 | − | 15.3204i | −0.130562 | − | 0.694949i | ||||
\(487\) | 27.8851 | − | 7.47178i | 1.26359 | − | 0.338579i | 0.436020 | − | 0.899937i | \(-0.356388\pi\) |
0.827573 | + | 0.561358i | \(0.189721\pi\) | |||||||
\(488\) | −4.32432 | + | 1.15870i | −0.195753 | + | 0.0524518i | ||||
\(489\) | −22.2347 | − | 6.32194i | −1.00549 | − | 0.285888i | ||||
\(490\) | 2.11280 | − | 3.65947i | 0.0954465 | − | 0.165318i | ||||
\(491\) | −3.99952 | − | 6.92737i | −0.180496 | − | 0.312628i | 0.761554 | − | 0.648102i | \(-0.224437\pi\) |
−0.942049 | + | 0.335474i | \(0.891104\pi\) | |||||||
\(492\) | 7.53657 | − | 1.89698i | 0.339775 | − | 0.0855225i | ||||
\(493\) | 2.02777i | 0.0913263i | ||||||||
\(494\) | −16.2759 | + | 12.7831i | −0.732289 | + | 0.575139i | ||||
\(495\) | 6.01062 | − | 9.71538i | 0.270157 | − | 0.436674i | ||||
\(496\) | −2.14059 | + | 7.98877i | −0.0961151 | + | 0.358707i | ||||
\(497\) | −22.0512 | + | 12.7313i | −0.989133 | + | 0.571076i | ||||
\(498\) | 0.328377 | − | 21.5764i | 0.0147149 | − | 0.966860i | ||||
\(499\) | 15.4167 | + | 15.4167i | 0.690144 | + | 0.690144i | 0.962264 | − | 0.272119i | \(-0.0877246\pi\) |
−0.272119 | + | 0.962264i | \(0.587725\pi\) | |||||||
\(500\) | 0.258819 | + | 0.965926i | 0.0115747 | + | 0.0431975i | ||||
\(501\) | −12.6267 | − | 13.0169i | −0.564118 | − | 0.581554i | ||||
\(502\) | 16.2323 | − | 16.2323i | 0.724485 | − | 0.724485i | ||||
\(503\) | −21.5869 | − | 12.4632i | −0.962513 | − | 0.555707i | −0.0655671 | − | 0.997848i | \(-0.520886\pi\) |
−0.896945 | + | 0.442141i | \(0.854219\pi\) | |||||||
\(504\) | −4.99465 | − | 0.152065i | −0.222479 | − | 0.00677352i | ||||
\(505\) | −6.96843 | − | 1.86719i | −0.310091 | − | 0.0830887i | ||||
\(506\) | 25.3613 | 1.12745 | ||||||||
\(507\) | −16.0380 | − | 15.8045i | −0.712273 | − | 0.701902i | ||||
\(508\) | −4.13860 | −0.183621 | ||||||||
\(509\) | 5.42645 | + | 1.45401i | 0.240523 | + | 0.0644479i | 0.377067 | − | 0.926186i | \(-0.376933\pi\) |
−0.136544 | + | 0.990634i | \(0.543599\pi\) | |||||||
\(510\) | −1.96531 | − | 1.17491i | −0.0870254 | − | 0.0520257i | ||||
\(511\) | −1.39174 | − | 0.803524i | −0.0615672 | − | 0.0355458i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −29.1317 | + | 6.39660i | −1.28620 | + | 0.282417i | ||||
\(514\) | 1.17920 | + | 4.40083i | 0.0520123 | + | 0.194112i | ||||
\(515\) | −9.98436 | − | 9.98436i | −0.439963 | − | 0.439963i | ||||
\(516\) | −12.6077 | − | 0.191880i | −0.555021 | − | 0.00844703i | ||||
\(517\) | 42.8480 | − | 24.7383i | 1.88445 | − | 1.08799i | ||||
\(518\) | −4.34024 | + | 16.1980i | −0.190699 | + | 0.711699i | ||||
\(519\) | 7.83832 | + | 14.0665i | 0.344064 | + | 0.617449i | ||||
\(520\) | 2.83555 | − | 2.22703i | 0.124347 | − | 0.0976619i | ||||
\(521\) | − | 12.8570i | − | 0.563275i | −0.959521 | − | 0.281637i | \(-0.909122\pi\) | ||
0.959521 | − | 0.281637i | \(-0.0908775\pi\) | |||||||
\(522\) | −3.15336 | − | 3.35140i | −0.138019 | − | 0.146687i | ||||
\(523\) | 7.21582 | + | 12.4982i | 0.315526 | + | 0.546507i | 0.979549 | − | 0.201205i | \(-0.0644858\pi\) |
−0.664023 | + | 0.747712i | \(0.731152\pi\) | |||||||
\(524\) | 2.09378 | − | 3.62654i | 0.0914673 | − | 0.158426i | ||||
\(525\) | 0.789012 | − | 2.77501i | 0.0344353 | − | 0.121111i | ||||
\(526\) | 13.7933 | − | 3.69591i | 0.601418 | − | 0.161150i | ||||
\(527\) | 10.5610 | − | 2.82980i | 0.460042 | − | 0.123268i | ||||
\(528\) | 1.80389 | − | 6.34440i | 0.0785042 | − | 0.276104i | ||||
\(529\) | −10.6765 | + | 18.4922i | −0.464195 | + | 0.804010i | ||||
\(530\) | −0.151229 | − | 0.261936i | −0.00656896 | − | 0.0113778i | ||||
\(531\) | 7.90904 | + | 8.40575i | 0.343223 | + | 0.364779i | ||||
\(532\) | 9.56080i | 0.414513i | ||||||||
\(533\) | 14.8757 | − | 6.35917i | 0.644339 | − | 0.275446i | ||||
\(534\) | 7.55674 | + | 13.5611i | 0.327012 | + | 0.586848i | ||||
\(535\) | −1.52486 | + | 5.69085i | −0.0659254 | + | 0.246037i | ||||
\(536\) | 0.196246 | − | 0.113303i | 0.00847653 | − | 0.00489393i | ||||
\(537\) | 26.7956 | + | 0.407811i | 1.15632 | + | 0.0175983i | ||||
\(538\) | 12.4285 | + | 12.4285i | 0.535831 | + | 0.535831i | ||||
\(539\) | −4.16481 | − | 15.5433i | −0.179391 | − | 0.669496i | ||||
\(540\) | 5.07525 | − | 1.11440i | 0.218404 | − | 0.0479560i | ||||
\(541\) | −15.6462 | + | 15.6462i | −0.672681 | + | 0.672681i | −0.958333 | − | 0.285652i | \(-0.907790\pi\) |
0.285652 | + | 0.958333i | \(0.407790\pi\) | |||||||
\(542\) | 24.8910 | + | 14.3708i | 1.06916 | + | 0.617279i | ||||
\(543\) | −34.0412 | − | 20.3506i | −1.46085 | − | 0.873327i | ||||
\(544\) | −1.27693 | − | 0.342152i | −0.0547479 | − | 0.0146696i | ||||
\(545\) | −10.4678 | −0.448393 | ||||||||
\(546\) | −10.3183 | + | 1.31707i | −0.441582 | + | 0.0563652i | ||||
\(547\) | 39.1213 | 1.67271 | 0.836354 | − | 0.548190i | \(-0.184683\pi\) | ||||
0.836354 | + | 0.548190i | \(0.184683\pi\) | |||||||
\(548\) | −11.6063 | − | 3.10990i | −0.495797 | − | 0.132848i | ||||
\(549\) | −13.4244 | − | 0.408714i | −0.572939 | − | 0.0174435i | ||||
\(550\) | 3.29793 | + | 1.90406i | 0.140624 | + | 0.0811894i | ||||
\(551\) | −6.22573 | + | 6.22573i | −0.265225 | + | 0.265225i | ||||
\(552\) | 8.03149 | + | 8.27974i | 0.341843 | + | 0.352409i | ||||
\(553\) | −3.45866 | − | 12.9079i | −0.147077 | − | 0.548900i | ||||
\(554\) | −10.0410 | − | 10.0410i | −0.426600 | − | 0.426600i | ||||
\(555\) | 0.265361 | − | 17.4359i | 0.0112640 | − | 0.740111i | ||||
\(556\) | −3.25411 | + | 1.87876i | −0.138005 | + | 0.0796772i | ||||
\(557\) | 6.52205 | − | 24.3406i | 0.276348 | − | 1.03135i | −0.678584 | − | 0.734523i | \(-0.737406\pi\) |
0.954933 | − | 0.296823i | \(-0.0959271\pi\) | |||||||
\(558\) | −13.0540 | + | 21.1001i | −0.552621 | + | 0.893240i | ||||
\(559\) | −25.9831 | + | 3.71926i | −1.09897 | + | 0.157308i | ||||
\(560\) | − | 1.66565i | − | 0.0703867i | ||||||
\(561\) | −8.45581 | + | 2.12836i | −0.357005 | + | 0.0898593i | ||||
\(562\) | 3.12290 | + | 5.40903i | 0.131732 | + | 0.228166i | ||||
\(563\) | −3.12854 | + | 5.41879i | −0.131852 | + | 0.228375i | −0.924391 | − | 0.381447i | \(-0.875426\pi\) |
0.792538 | + | 0.609822i | \(0.208759\pi\) | |||||||
\(564\) | 21.6455 | + | 6.15443i | 0.911442 | + | 0.259148i | ||||
\(565\) | −11.0408 | + | 2.95836i | −0.464489 | + | 0.124459i | ||||
\(566\) | −16.3514 | + | 4.38134i | −0.687300 | + | 0.184162i | ||||
\(567\) | −14.2172 | − | 4.75364i | −0.597068 | − | 0.199634i | ||||
\(568\) | 7.64342 | − | 13.2388i | 0.320711 | − | 0.555487i | ||||
\(569\) | −9.18102 | − | 15.9020i | −0.384889 | − | 0.666647i | 0.606865 | − | 0.794805i | \(-0.292427\pi\) |
−0.991754 | + | 0.128158i | \(0.959093\pi\) | |||||||
\(570\) | −2.42672 | − | 9.64119i | −0.101644 | − | 0.403825i | ||||
\(571\) | − | 37.1767i | − | 1.55580i | −0.628391 | − | 0.777898i | \(-0.716286\pi\) | ||
0.628391 | − | 0.777898i | \(-0.283714\pi\) | |||||||
\(572\) | 1.63857 | − | 13.6323i | 0.0685120 | − | 0.569993i | ||||
\(573\) | −11.6827 | + | 6.51003i | −0.488054 | + | 0.271960i | ||||
\(574\) | 1.93434 | − | 7.21906i | 0.0807378 | − | 0.301318i | ||||
\(575\) | −5.76756 | + | 3.32990i | −0.240524 | + | 0.138867i | ||||
\(576\) | 2.64252 | − | 1.42024i | 0.110105 | − | 0.0591767i | ||||
\(577\) | −2.97894 | − | 2.97894i | −0.124015 | − | 0.124015i | 0.642375 | − | 0.766390i | \(-0.277949\pi\) |
−0.766390 | + | 0.642375i | \(0.777949\pi\) | |||||||
\(578\) | −3.94761 | − | 14.7327i | −0.164199 | − | 0.612798i | ||||
\(579\) | −7.94755 | + | 7.70927i | −0.330289 | + | 0.320386i | ||||
\(580\) | 1.08463 | − | 1.08463i | 0.0450368 | − | 0.0450368i | ||||
\(581\) | −17.9715 | − | 10.3758i | −0.745582 | − | 0.430462i | ||||
\(582\) | 1.50101 | − | 2.51080i | 0.0622190 | − | 0.104076i | ||||
\(583\) | −1.11255 | − | 0.298107i | −0.0460771 | − | 0.0123463i | ||||
\(584\) | 0.964815 | 0.0399243 | ||||||||
\(585\) | 10.0708 | − | 3.94713i | 0.416375 | − | 0.163194i | ||||
\(586\) | 11.2378 | 0.464229 | ||||||||
\(587\) | −6.45368 | − | 1.72926i | −0.266372 | − | 0.0713741i | 0.123161 | − | 0.992387i | \(-0.460697\pi\) |
−0.389533 | + | 0.921013i | \(0.627363\pi\) | |||||||
\(588\) | 3.75550 | − | 6.28197i | 0.154874 | − | 0.259064i | ||||
\(589\) | 41.1127 | + | 23.7364i | 1.69402 | + | 0.978043i | ||||
\(590\) | −2.72039 | + | 2.72039i | −0.111997 | + | 0.111997i | ||||
\(591\) | 18.2525 | − | 17.7052i | 0.750807 | − | 0.728296i | ||||
\(592\) | −2.60573 | − | 9.72471i | −0.107095 | − | 0.399683i | ||||
\(593\) | 26.8093 | + | 26.8093i | 1.10092 | + | 1.10092i | 0.994299 | + | 0.106625i | \(0.0340045\pi\) |
0.106625 | + | 0.994299i | \(0.465996\pi\) | |||||||
\(594\) | 10.6656 | − | 16.6672i | 0.437614 | − | 0.683862i | ||||
\(595\) | −1.90695 | + | 1.10098i | −0.0781772 | + | 0.0451356i | ||||
\(596\) | 0.101260 | − | 0.377907i | 0.00414777 | − | 0.0154797i | ||||
\(597\) | −4.40617 | + | 2.45527i | −0.180332 | + | 0.100487i | ||||
\(598\) | 19.2138 | + | 14.4020i | 0.785712 | + | 0.588942i | ||||
\(599\) | 25.7236i | 1.05104i | 0.850781 | + | 0.525520i | \(0.176129\pi\) | ||||
−0.850781 | + | 0.525520i | \(0.823871\pi\) | |||||||
\(600\) | 0.422776 | + | 1.67966i | 0.0172598 | + | 0.0685719i | ||||
\(601\) | 4.01013 | + | 6.94574i | 0.163577 | + | 0.283323i | 0.936149 | − | 0.351604i | \(-0.114364\pi\) |
−0.772572 | + | 0.634927i | \(0.781030\pi\) | |||||||
\(602\) | −6.06288 | + | 10.5012i | −0.247104 | + | 0.427997i | ||||
\(603\) | 0.661702 | − | 0.155885i | 0.0269466 | − | 0.00634812i | ||||
\(604\) | −18.6296 | + | 4.99178i | −0.758026 | + | 0.203113i | ||||
\(605\) | 3.38248 | − | 0.906332i | 0.137517 | − | 0.0368476i | ||||
\(606\) | −12.0191 | − | 3.41736i | −0.488241 | − | 0.138821i | ||||
\(607\) | −5.80367 | + | 10.0522i | −0.235564 | + | 0.408008i | −0.959436 | − | 0.281925i | \(-0.909027\pi\) |
0.723873 | + | 0.689933i | \(0.242360\pi\) | |||||||
\(608\) | −2.86998 | − | 4.97095i | −0.116393 | − | 0.201599i | ||||
\(609\) | −4.29144 | + | 1.08017i | −0.173898 | + | 0.0437707i | ||||
\(610\) | − | 4.47687i | − | 0.181263i | ||||||
\(611\) | 46.5099 | + | 5.59039i | 1.88159 | + | 0.226163i | ||||
\(612\) | −3.37265 | − | 2.08656i | −0.136331 | − | 0.0843443i | ||||
\(613\) | −9.32778 | + | 34.8117i | −0.376745 | + | 1.40603i | 0.474033 | + | 0.880507i | \(0.342798\pi\) |
−0.850778 | + | 0.525525i | \(0.823869\pi\) | |||||||
\(614\) | 25.0883 | − | 14.4847i | 1.01248 | − | 0.584556i | ||||
\(615\) | −0.118265 | + | 7.77074i | −0.00476891 | + | 0.313346i | ||||
\(616\) | −4.48519 | − | 4.48519i | −0.180713 | − | 0.180713i | ||||
\(617\) | −6.01064 | − | 22.4320i | −0.241979 | − | 0.903078i | −0.974878 | − | 0.222740i | \(-0.928500\pi\) |
0.732899 | − | 0.680338i | \(-0.238167\pi\) | |||||||
\(618\) | −17.0283 | − | 17.5546i | −0.684977 | − | 0.706149i | ||||
\(619\) | −2.30174 | + | 2.30174i | −0.0925149 | + | 0.0925149i | −0.751850 | − | 0.659335i | \(-0.770838\pi\) |
0.659335 | + | 0.751850i | \(0.270838\pi\) | |||||||
\(620\) | −7.16254 | − | 4.13529i | −0.287654 | − | 0.166077i | ||||
\(621\) | 15.9169 | + | 30.7276i | 0.638723 | + | 1.23305i | ||||
\(622\) | −8.53272 | − | 2.28634i | −0.342131 | − | 0.0916737i | ||||
\(623\) | 14.9293 | 0.598132 | ||||||||
\(624\) | 4.96944 | − | 3.78215i | 0.198937 | − | 0.151407i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | 19.7595 | + | 5.29453i | 0.789747 | + | 0.211612i | ||||
\(627\) | −32.4959 | − | 19.4268i | −1.29776 | − | 0.775830i | ||||
\(628\) | 13.7850 | + | 7.95879i | 0.550082 | + | 0.317590i | ||||
\(629\) | −9.41111 | + | 9.41111i | −0.375245 | + | 0.375245i | ||||
\(630\) | 1.43959 | − | 4.78510i | 0.0573548 | − | 0.190643i | ||||
\(631\) | 9.17574 | + | 34.2443i | 0.365281 | + | 1.36325i | 0.867040 | + | 0.498239i | \(0.166020\pi\) |
−0.501759 | + | 0.865007i | \(0.667314\pi\) | |||||||
\(632\) | 5.67299 | + | 5.67299i | 0.225659 | + | 0.225659i | ||||
\(633\) | 11.9033 | + | 0.181160i | 0.473115 | + | 0.00720048i | ||||
\(634\) | −18.1227 | + | 10.4631i | −0.719744 | + | 0.415544i | ||||
\(635\) | 1.07115 | − | 3.99758i | 0.0425072 | − | 0.158639i | ||||
\(636\) | −0.255002 | − | 0.457620i | −0.0101115 | − | 0.0181458i | ||||
\(637\) | 5.67133 | − | 14.1407i | 0.224706 | − | 0.560275i | ||||
\(638\) | − | 5.84127i | − | 0.231258i | ||||||
\(639\) | 33.4001 | − | 31.4264i | 1.32129 | − | 1.24321i | ||||
\(640\) | 0.500000 | + | 0.866025i | 0.0197642 | + | 0.0342327i | ||||
\(641\) | 14.2640 | − | 24.7060i | 0.563394 | − | 0.975828i | −0.433803 | − | 0.901008i | \(-0.642829\pi\) |
0.997197 | − | 0.0748198i | \(-0.0238381\pi\) | |||||||
\(642\) | −2.79082 | + | 9.81551i | −0.110145 | + | 0.387387i | ||||
\(643\) | 37.0551 | − | 9.92889i | 1.46131 | − | 0.391557i | 0.561369 | − | 0.827566i | \(-0.310275\pi\) |
0.899943 | + | 0.436009i | \(0.143608\pi\) | |||||||
\(644\) | 10.7149 | − | 2.87106i | 0.422228 | − | 0.113136i | ||||
\(645\) | 3.44844 | − | 12.1284i | 0.135782 | − | 0.477555i | ||||
\(646\) | −3.79404 | + | 6.57147i | −0.149275 | + | 0.258551i | ||||
\(647\) | −9.53414 | − | 16.5136i | −0.374826 | − | 0.649217i | 0.615475 | − | 0.788156i | \(-0.288964\pi\) |
−0.990301 | + | 0.138939i | \(0.955631\pi\) | |||||||
\(648\) | 8.81894 | − | 1.79620i | 0.346441 | − | 0.0705614i | ||||
\(649\) | 14.6507i | 0.575089i | ||||||||
\(650\) | 1.41726 | + | 3.31533i | 0.0555894 | + | 0.130038i | ||||
\(651\) | 11.6145 | + | 20.8431i | 0.455207 | + | 0.816904i | ||||
\(652\) | 3.45420 | − | 12.8913i | 0.135277 | − | 0.504861i | ||||
\(653\) | −28.6102 | + | 16.5181i | −1.11961 | + | 0.646404i | −0.941300 | − | 0.337571i | \(-0.890395\pi\) |
−0.178305 | + | 0.983975i | \(0.557061\pi\) | |||||||
\(654\) | −18.1287 | − | 0.275906i | −0.708889 | − | 0.0107888i | ||||
\(655\) | 2.96106 | + | 2.96106i | 0.115698 | + | 0.115698i | ||||
\(656\) | 1.16131 | + | 4.33407i | 0.0453415 | + | 0.169217i | ||||
\(657\) | 2.77173 | + | 0.833872i | 0.108135 | + | 0.0325324i | ||||
\(658\) | 15.3024 | − | 15.3024i | 0.596549 | − | 0.596549i | ||||
\(659\) | −16.8251 | − | 9.71399i | −0.655414 | − | 0.378403i | 0.135113 | − | 0.990830i | \(-0.456860\pi\) |
−0.790527 | + | 0.612427i | \(0.790193\pi\) | |||||||
\(660\) | 5.66134 | + | 3.38447i | 0.220367 | + | 0.131740i | ||||
\(661\) | 23.4203 | + | 6.27544i | 0.910942 | + | 0.244086i | 0.683710 | − | 0.729754i | \(-0.260365\pi\) |
0.227233 | + | 0.973840i | \(0.427032\pi\) | |||||||
\(662\) | 27.8161 | 1.08110 | ||||||||
\(663\) | −7.61478 | − | 3.18937i | −0.295734 | − | 0.123865i | ||||
\(664\) | 12.4586 | 0.483486 | ||||||||
\(665\) | −9.23502 | − | 2.47452i | −0.358119 | − | 0.0959576i | ||||
\(666\) | 0.919132 | − | 30.1893i | 0.0356157 | − | 1.16981i | ||||
\(667\) | 8.84684 | + | 5.10773i | 0.342551 | + | 0.197772i | ||||
\(668\) | 7.40353 | − | 7.40353i | 0.286451 | − | 0.286451i | ||||
\(669\) | −1.90530 | − | 1.96419i | −0.0736630 | − | 0.0759398i | ||||
\(670\) | 0.0586497 | + | 0.218884i | 0.00226584 | + | 0.00845622i | ||||
\(671\) | −12.0551 | − | 12.0551i | −0.465381 | − | 0.465381i | ||||
\(672\) | 0.0439025 | − | 2.88466i | 0.00169358 | − | 0.111278i | ||||
\(673\) | −9.78648 | + | 5.65023i | −0.377241 | + | 0.217800i | −0.676617 | − | 0.736335i | \(-0.736555\pi\) |
0.299376 | + | 0.954135i | \(0.403221\pi\) | |||||||
\(674\) | −1.44790 | + | 5.40363i | −0.0557710 | + | 0.208140i | ||||
\(675\) | −0.237145 | + | 5.19074i | −0.00912770 | + | 0.199792i | ||||
\(676\) | 8.98277 | − | 9.39734i | 0.345491 | − | 0.361436i | ||||
\(677\) | 25.6880i | 0.987270i | 0.869669 | + | 0.493635i | \(0.164332\pi\) | ||||
−0.869669 | + | 0.493635i | \(0.835668\pi\) | |||||||
\(678\) | −19.1989 | + | 4.83244i | −0.737330 | + | 0.185589i | ||||
\(679\) | −1.40656 | − | 2.43624i | −0.0539789 | − | 0.0934943i | ||||
\(680\) | 0.660987 | − | 1.14486i | 0.0253477 | − | 0.0439035i | ||||
\(681\) | 11.1305 | + | 3.16470i | 0.426521 | + | 0.121272i | ||||
\(682\) | −30.4222 | + | 8.15161i | −1.16493 | + | 0.312141i | ||||
\(683\) | 46.1988 | − | 12.3789i | 1.76775 | − | 0.473667i | 0.779485 | − | 0.626421i | \(-0.215481\pi\) |
0.988264 | + | 0.152754i | \(0.0488141\pi\) | |||||||
\(684\) | −3.94860 | − | 16.7611i | −0.150978 | − | 0.640875i | ||||
\(685\) | 6.00786 | − | 10.4059i | 0.229549 | − | 0.397590i | ||||
\(686\) | −9.34898 | − | 16.1929i | −0.356946 | − | 0.618248i | ||||
\(687\) | −9.61153 | − | 38.1859i | −0.366703 | − | 1.45688i | ||||
\(688\) | − | 7.27987i | − | 0.277543i | ||||||
\(689\) | −0.673584 | − | 0.857633i | −0.0256615 | − | 0.0326732i | ||||
\(690\) | −10.0763 | + | 5.61487i | −0.383599 | + | 0.213755i | ||||
\(691\) | −3.41753 | + | 12.7544i | −0.130009 | + | 0.485200i | −0.999969 | − | 0.00792315i | \(-0.997478\pi\) |
0.869960 | + | 0.493123i | \(0.164145\pi\) | |||||||
\(692\) | −8.05147 | + | 4.64852i | −0.306071 | + | 0.176710i | ||||
\(693\) | −9.00862 | − | 16.7615i | −0.342209 | − | 0.636718i | ||||
\(694\) | −24.3450 | − | 24.3450i | −0.924122 | − | 0.924122i | ||||
\(695\) | −0.972518 | − | 3.62949i | −0.0368897 | − | 0.137674i | ||||
\(696\) | 1.90700 | − | 1.84983i | 0.0722848 | − | 0.0701175i | ||||
\(697\) | 4.19430 | − | 4.19430i | 0.158871 | − | 0.158871i | ||||
\(698\) | 12.5831 | + | 7.26485i | 0.476277 | + | 0.274979i | ||||
\(699\) | −18.5862 | + | 31.0898i | −0.702994 | + | 1.17592i | ||||
\(700\) | 1.60890 | + | 0.431103i | 0.0608106 | + | 0.0162942i | ||||
\(701\) | −33.1881 | −1.25350 | −0.626748 | − | 0.779222i | \(-0.715614\pi\) | ||||
−0.626748 | + | 0.779222i | \(0.715614\pi\) | |||||||
\(702\) | 17.5451 | − | 6.57040i | 0.662196 | − | 0.247984i | ||||
\(703\) | −57.7886 | −2.17954 | ||||||||
\(704\) | 3.67836 | + | 0.985615i | 0.138634 | + | 0.0371467i | ||||
\(705\) | −11.5470 | + | 19.3151i | −0.434885 | + | 0.727449i | ||||
\(706\) | 8.59955 | + | 4.96495i | 0.323648 | + | 0.186858i | ||||
\(707\) | −8.49692 | + | 8.49692i | −0.319559 | + | 0.319559i | ||||
\(708\) | −4.78302 | + | 4.63961i | −0.179757 | + | 0.174367i | ||||
\(709\) | 6.64653 | + | 24.8052i | 0.249616 | + | 0.931578i | 0.971007 | + | 0.239050i | \(0.0768361\pi\) |
−0.721392 | + | 0.692527i | \(0.756497\pi\) | |||||||
\(710\) | 10.8094 | + | 10.8094i | 0.405670 | + | 0.405670i | ||||
\(711\) | 11.3943 | + | 21.2005i | 0.427321 | + | 0.795079i | ||||
\(712\) | −7.76223 | + | 4.48153i | −0.290902 | + | 0.167952i | ||||
\(713\) | 14.2559 | − | 53.2037i | 0.533887 | − | 1.99249i | ||||
\(714\) | −3.33156 | + | 1.85646i | −0.124681 | + | 0.0694764i | ||||
\(715\) | 12.7437 | + | 5.11102i | 0.476586 | + | 0.191141i | ||||
\(716\) | 15.4723i | 0.578226i | ||||||||
\(717\) | −1.39745 | − | 5.55198i | −0.0521889 | − | 0.207343i | ||||
\(718\) | −8.23262 | − | 14.2593i | −0.307239 | − | 0.532153i | ||||
\(719\) | −3.79520 | + | 6.57348i | −0.141537 | + | 0.245150i | −0.928076 | − | 0.372392i | \(-0.878538\pi\) |
0.786539 | + | 0.617541i | \(0.211871\pi\) | |||||||
\(720\) | 0.687914 | + | 2.92006i | 0.0256370 | + | 0.108824i | ||||
\(721\) | −22.7177 | + | 6.08718i | −0.846050 | + | 0.226699i | ||||
\(722\) | −13.4719 | + | 3.60980i | −0.501374 | + | 0.134343i | ||||
\(723\) | 17.1423 | + | 4.87404i | 0.637529 | + | 0.181267i | ||||
\(724\) | 11.4490 | − | 19.8302i | 0.425498 | − | 0.736984i | ||||
\(725\) | 0.766948 | + | 1.32839i | 0.0284838 | + | 0.0493353i | ||||
\(726\) | 5.88183 | − | 1.48048i | 0.218295 | − | 0.0549457i | ||||
\(727\) | − | 51.1962i | − | 1.89876i | −0.314129 | − | 0.949380i | \(-0.601712\pi\) | ||
0.314129 | − | 0.949380i | \(-0.398288\pi\) | |||||||
\(728\) | −0.850975 | − | 5.94501i | −0.0315392 | − | 0.220337i | ||||
\(729\) | 26.8875 | + | 2.46191i | 0.995834 | + | 0.0911819i | ||||
\(730\) | −0.249713 | + | 0.931940i | −0.00924228 | + | 0.0344926i | ||||
\(731\) | −8.33446 | + | 4.81190i | −0.308261 | + | 0.177975i | ||||
\(732\) | 0.117999 | − | 7.75326i | 0.00436138 | − | 0.286569i | ||||
\(733\) | −19.8432 | − | 19.8432i | −0.732925 | − | 0.732925i | 0.238273 | − | 0.971198i | \(-0.423419\pi\) |
−0.971198 | + | 0.238273i | \(0.923419\pi\) | |||||||
\(734\) | −1.25883 | − | 4.69802i | −0.0464643 | − | 0.173407i | ||||
\(735\) | 5.09592 | + | 5.25343i | 0.187966 | + | 0.193776i | ||||
\(736\) | −4.70919 | + | 4.70919i | −0.173583 | + | 0.173583i | ||||
\(737\) | 0.747328 | + | 0.431470i | 0.0275282 | + | 0.0158934i | ||||
\(738\) | −0.409635 | + | 13.4546i | −0.0150789 | + | 0.495272i | ||||
\(739\) | −33.6777 | − | 9.02391i | −1.23885 | − | 0.331950i | −0.420832 | − | 0.907138i | \(-0.638262\pi\) |
−0.818021 | + | 0.575189i | \(0.804929\pi\) | |||||||
\(740\) | 10.0678 | 0.370098 | ||||||||
\(741\) | −13.5870 | − | 33.1713i | −0.499132 | − | 1.21858i | ||||
\(742\) | −0.503790 | −0.0184947 | ||||||||
\(743\) | −27.9882 | − | 7.49941i | −1.02679 | − | 0.275127i | −0.294159 | − | 0.955756i | \(-0.595040\pi\) |
−0.732627 | + | 0.680630i | \(0.761706\pi\) | |||||||
\(744\) | −12.2954 | − | 7.35050i | −0.450773 | − | 0.269482i | ||||
\(745\) | 0.338823 | + | 0.195619i | 0.0124135 | + | 0.00716694i | ||||
\(746\) | −25.8663 | + | 25.8663i | −0.947031 | + | 0.947031i | ||||
\(747\) | 35.7910 | + | 10.7677i | 1.30953 | + | 0.393970i | ||||
\(748\) | −1.30296 | − | 4.86270i | −0.0476408 | − | 0.177798i | ||||
\(749\) | 6.93910 | + | 6.93910i | 0.253549 | + | 0.253549i | ||||
\(750\) | −1.73185 | − | 0.0263575i | −0.0632382 | − | 0.000962441i | ||||
\(751\) | 23.9936 | − | 13.8527i | 0.875537 | − | 0.505492i | 0.00635294 | − | 0.999980i | \(-0.497978\pi\) |
0.869184 | + | 0.494488i | \(0.164644\pi\) | |||||||
\(752\) | −3.36268 | + | 12.5497i | −0.122624 | + | 0.457640i | ||||
\(753\) | 19.3542 | + | 34.7326i | 0.705306 | + | 1.26572i | ||||
\(754\) | 3.31709 | − | 4.42536i | 0.120801 | − | 0.161162i | ||||
\(755\) | − | 19.2867i | − | 0.701917i | ||||||
\(756\) | 2.61928 | − | 8.24914i | 0.0952625 | − | 0.300018i | ||||
\(757\) | 15.6835 | + | 27.1647i | 0.570027 | + | 0.987316i | 0.996562 | + | 0.0828451i | \(0.0264007\pi\) |
−0.426535 | + | 0.904471i | \(0.640266\pi\) | |||||||
\(758\) | 1.29994 | − | 2.25157i | 0.0472161 | − | 0.0817806i | ||||
\(759\) | −12.0136 | + | 42.2524i | −0.436064 | + | 1.53367i | ||||
\(760\) | 5.54438 | − | 1.48561i | 0.201116 | − | 0.0538888i | ||||
\(761\) | −33.5908 | + | 9.00062i | −1.21766 | + | 0.326272i | −0.809765 | − | 0.586755i | \(-0.800405\pi\) |
−0.407900 | + | 0.913027i | \(0.633739\pi\) | |||||||
\(762\) | 1.96044 | − | 6.89498i | 0.0710191 | − | 0.249779i | ||||
\(763\) | −8.71790 | + | 15.0998i | −0.315609 | + | 0.546651i | ||||
\(764\) | −3.86078 | − | 6.68706i | −0.139678 | − | 0.241929i | ||||
\(765\) | 2.88837 | − | 2.71769i | 0.104429 | − | 0.0982583i | ||||
\(766\) | − | 7.51778i | − | 0.271628i | ||||||
\(767\) | −8.31971 | + | 11.0994i | −0.300407 | + | 0.400776i | ||||
\(768\) | 0.843099 | + | 1.51301i | 0.0304227 | + | 0.0545959i | ||||
\(769\) | −3.20108 | + | 11.9466i | −0.115434 | + | 0.430805i | −0.999319 | − | 0.0368988i | \(-0.988252\pi\) |
0.883885 | + | 0.467704i | \(0.154919\pi\) | |||||||
\(770\) | 5.49321 | − | 3.17151i | 0.197962 | − | 0.114293i | ||||
\(771\) | −7.89045 | − | 0.120087i | −0.284167 | − | 0.00432483i | ||||
\(772\) | −4.52026 | − | 4.52026i | −0.162688 | − | 0.162688i | ||||
\(773\) | 9.35460 | + | 34.9119i | 0.336462 | + | 1.25569i | 0.902276 | + | 0.431159i | \(0.141895\pi\) |
−0.565814 | + | 0.824533i | \(0.691438\pi\) | |||||||
\(774\) | 6.29186 | − | 20.9137i | 0.226156 | − | 0.751726i | ||||
\(775\) | 5.84819 | − | 5.84819i | 0.210073 | − | 0.210073i | ||||
\(776\) | 1.46263 | + | 0.844451i | 0.0525054 | + | 0.0303140i | ||||
\(777\) | −24.9302 | − | 14.9038i | −0.894366 | − | 0.534672i | ||||
\(778\) | −3.26037 | − | 0.873614i | −0.116890 | − | 0.0313206i | ||||
\(779\) | 25.7550 | 0.922768 | ||||||||
\(780\) | 2.36709 | + | 5.77900i | 0.0847555 | + | 0.206921i | ||||
\(781\) | 58.2141 | 2.08307 | ||||||||
\(782\) | 8.50410 | + | 2.27867i | 0.304106 | + | 0.0814849i | ||||
\(783\) | 7.07722 | − | 3.66601i | 0.252919 | − | 0.131012i | ||||
\(784\) | 3.65947 | + | 2.11280i | 0.130695 | + | 0.0754571i | ||||
\(785\) | −11.2554 | + | 11.2554i | −0.401723 | + | 0.401723i | ||||
\(786\) | 5.05006 | + | 5.20615i | 0.180130 | + | 0.185697i | ||||
\(787\) | 9.31123 | + | 34.7500i | 0.331910 | + | 1.23870i | 0.907181 | + | 0.420741i | \(0.138230\pi\) |
−0.575271 | + | 0.817963i | \(0.695104\pi\) | |||||||
\(788\) | 10.3813 | + | 10.3813i | 0.369819 | + | 0.369819i | ||||
\(789\) | −0.376383 | + | 24.7307i | −0.0133996 | + | 0.880435i | ||||
\(790\) | −6.94796 | + | 4.01141i | −0.247197 | + | 0.142720i | ||||
\(791\) | −4.92761 | + | 18.3901i | −0.175206 | + | 0.653877i | ||||
\(792\) | 9.71538 | + | 6.01062i | 0.345221 | + | 0.213578i | ||||
\(793\) | −2.28721 | − | 15.9787i | −0.0812213 | − | 0.567420i | ||||
\(794\) | − | 2.81605i | − | 0.0999380i | ||||||
\(795\) | 0.508026 | − | 0.127872i | 0.0180178 | − | 0.00453515i | ||||
\(796\) | −1.45610 | − | 2.52204i | −0.0516100 | − | 0.0893912i | ||||
\(797\) | 16.8835 | − | 29.2431i | 0.598045 | − | 1.03584i | −0.395065 | − | 0.918653i | \(-0.629278\pi\) |
0.993109 | − | 0.117191i | \(-0.0373888\pi\) | |||||||
\(798\) | −15.9284 | − | 4.52890i | −0.563861 | − | 0.160321i | ||||
\(799\) | 16.5904 | − | 4.44537i | 0.586924 | − | 0.157266i | ||||
\(800\) | −0.965926 | + | 0.258819i | −0.0341506 | + | 0.00915064i | ||||
\(801\) | −26.1727 | + | 6.16581i | −0.924766 | + | 0.217858i | ||||
\(802\) | −16.0900 | + | 27.8688i | −0.568159 | + | 0.984080i | ||||
\(803\) | 1.83707 | + | 3.18189i | 0.0648287 | + | 0.112287i | ||||
\(804\) | 0.0958033 | + | 0.380620i | 0.00337872 | + | 0.0134234i | ||||
\(805\) | 11.0929i | 0.390974i | ||||||||
\(806\) | −27.6770 | − | 11.1003i | −0.974882 | − | 0.390990i | ||||
\(807\) | −26.5934 | + | 14.8188i | −0.936134 | + | 0.521646i | ||||
\(808\) | 1.86719 | − | 6.96843i | 0.0656874 | − | 0.245149i | ||||
\(809\) | 7.07341 | − | 4.08384i | 0.248688 | − | 0.143580i | −0.370475 | − | 0.928842i | \(-0.620805\pi\) |
0.619163 | + | 0.785262i | \(0.287472\pi\) | |||||||
\(810\) | −0.547514 | + | 8.98333i | −0.0192377 | + | 0.315642i | ||||
\(811\) | −18.2887 | − | 18.2887i | −0.642205 | − | 0.642205i | 0.308892 | − | 0.951097i | \(-0.400042\pi\) |
−0.951097 | + | 0.308892i | \(0.900042\pi\) | |||||||
\(812\) | −0.661268 | − | 2.46788i | −0.0232059 | − | 0.0866058i | ||||
\(813\) | −35.7327 | + | 34.6614i | −1.25320 | + | 1.21563i | ||||
\(814\) | 27.1100 | − | 27.1100i | 0.950203 | − | 0.950203i | ||||
\(815\) | 11.5580 | + | 6.67301i | 0.404859 | + | 0.233745i | ||||
\(816\) | 1.17491 | − | 1.96531i | 0.0411299 | − | 0.0687996i | ||||
\(817\) | −40.3624 | − | 10.8151i | −1.41210 | − | 0.378371i | ||||
\(818\) | 2.74748 | 0.0960635 | ||||||||
\(819\) | 2.69347 | − | 17.8143i | 0.0941174 | − | 0.622483i | ||||
\(820\) | −4.48696 | −0.156691 | ||||||||
\(821\) | −40.7978 | − | 10.9318i | −1.42385 | − | 0.381521i | −0.537005 | − | 0.843579i | \(-0.680444\pi\) |
−0.886850 | + | 0.462058i | \(0.847111\pi\) | |||||||
\(822\) | 10.6790 | − | 17.8632i | 0.372473 | − | 0.623049i | ||||
\(823\) | 38.7259 | + | 22.3584i | 1.34990 | + | 0.779365i | 0.988235 | − | 0.152944i | \(-0.0488753\pi\) |
0.361664 | + | 0.932308i | \(0.382209\pi\) | |||||||
\(824\) | 9.98436 | − | 9.98436i | 0.347822 | − | 0.347822i | ||||
\(825\) | −4.73441 | + | 4.59246i | −0.164831 | + | 0.159889i | ||||
\(826\) | 1.65855 | + | 6.18978i | 0.0577082 | + | 0.215370i | ||||
\(827\) | −35.9420 | − | 35.9420i | −1.24982 | − | 1.24982i | −0.955797 | − | 0.294028i | \(-0.905004\pi\) |
−0.294028 | − | 0.955797i | \(-0.594996\pi\) | |||||||
\(828\) | −17.5987 | + | 9.45853i | −0.611596 | + | 0.328707i | ||||
\(829\) | −21.1423 | + | 12.2065i | −0.734301 | + | 0.423949i | −0.819994 | − | 0.572373i | \(-0.806023\pi\) |
0.0856926 | + | 0.996322i | \(0.472690\pi\) | |||||||
\(830\) | −3.22451 | + | 12.0340i | −0.111924 | + | 0.417708i | ||||
\(831\) | 21.4848 | − | 11.9721i | 0.745298 | − | 0.415306i | ||||
\(832\) | 2.22703 | + | 2.83555i | 0.0772085 | + | 0.0983048i | ||||
\(833\) | − | 5.58613i | − | 0.193548i | ||||||
\(834\) | −1.58859 | − | 6.31136i | −0.0550084 | − | 0.218545i | ||||
\(835\) | 5.23508 | + | 9.06743i | 0.181168 | + | 0.313791i | ||||
\(836\) | 10.9292 | − | 18.9300i | 0.377996 | − | 0.654708i | ||||
\(837\) | −28.9695 | − | 31.7433i | −1.00133 | − | 1.09721i | ||||
\(838\) | −13.7796 | + | 3.69224i | −0.476009 | + | 0.127546i | ||||
\(839\) | 30.3149 | − | 8.12286i | 1.04659 | − | 0.280432i | 0.305746 | − | 0.952113i | \(-0.401094\pi\) |
0.740841 | + | 0.671681i | \(0.234427\pi\) | |||||||
\(840\) | 2.77501 | + | 0.789012i | 0.0957469 | + | 0.0272235i | ||||
\(841\) | −13.3236 | + | 23.0771i | −0.459434 | + | 0.795763i | ||||
\(842\) | 16.4580 | + | 28.5061i | 0.567180 | + | 0.982385i | ||||
\(843\) | −10.4908 | + | 2.64058i | −0.361324 | + | 0.0909464i | ||||
\(844\) | 6.87320i | 0.236585i | ||||||||
\(845\) | 6.75222 | + | 11.1089i | 0.232283 | + | 0.382158i | ||||
\(846\) | −20.5068 | + | 33.1465i | −0.705038 | + | 1.13960i | ||||
\(847\) | 1.50964 | − | 5.63404i | 0.0518717 | − | 0.193588i | ||||
\(848\) | 0.261936 | − | 0.151229i | 0.00899492 | − | 0.00519322i | ||||
\(849\) | 0.446186 | − | 29.3171i | 0.0153131 | − | 1.00616i | ||||
\(850\) | 0.934777 | + | 0.934777i | 0.0320626 | + | 0.0320626i | ||||
\(851\) | 17.3536 | + | 64.7647i | 0.594875 | + | 2.22010i | ||||
\(852\) | 18.4354 | + | 19.0052i | 0.631586 | + | 0.651108i | ||||
\(853\) | 30.7798 | − | 30.7798i | 1.05388 | − | 1.05388i | 0.0554178 | − | 0.998463i | \(-0.482351\pi\) |
0.998463 | − | 0.0554178i | \(-0.0176491\pi\) | |||||||
\(854\) | −6.45787 | − | 3.72846i | −0.220984 | − | 0.127585i | ||||
\(855\) | 17.2119 | + | 0.524028i | 0.588635 | + | 0.0179214i | ||||
\(856\) | −5.69085 | − | 1.52486i | −0.194509 | − | 0.0521186i | ||||
\(857\) | −28.3530 | −0.968520 | −0.484260 | − | 0.874924i | \(-0.660911\pi\) | ||||
−0.484260 | + | 0.874924i | \(0.660911\pi\) | |||||||
\(858\) | 21.9354 | + | 9.18742i | 0.748862 | + | 0.313653i | ||||
\(859\) | −42.4132 | −1.44712 | −0.723559 | − | 0.690262i | \(-0.757495\pi\) | ||||
−0.723559 | + | 0.690262i | \(0.757495\pi\) | |||||||
\(860\) | 7.03182 | + | 1.88417i | 0.239783 | + | 0.0642497i | ||||
\(861\) | 11.1108 | + | 6.64228i | 0.378655 | + | 0.226368i | ||||
\(862\) | −23.8766 | − | 13.7852i | −0.813241 | − | 0.469525i | ||||
\(863\) | −16.5706 | + | 16.5706i | −0.564068 | + | 0.564068i | −0.930461 | − | 0.366392i | \(-0.880593\pi\) |
0.366392 | + | 0.930461i | \(0.380593\pi\) | |||||||
\(864\) | 1.11440 | + | 5.07525i | 0.0379126 | + | 0.172663i | ||||
\(865\) | −2.40625 | − | 8.98025i | −0.0818150 | − | 0.305338i | ||||
\(866\) | −5.97890 | − | 5.97890i | −0.203171 | − | 0.203171i | ||||
\(867\) | 26.4148 | + | 0.402015i | 0.897095 | + | 0.0136532i | ||||
\(868\) | −11.9303 | + | 6.88797i | −0.404941 | + | 0.233793i | ||||
\(869\) | −7.90741 | + | 29.5108i | −0.268240 | + | 1.00109i | ||||
\(870\) | 1.29323 | + | 2.32079i | 0.0438445 | + | 0.0786823i | ||||
\(871\) | 0.321158 | + | 0.751270i | 0.0108820 | + | 0.0254558i | ||||
\(872\) | − | 10.4678i | − | 0.354486i | ||||||
\(873\) | 3.47202 | + | 3.69007i | 0.117510 | + | 0.124890i | ||||
\(874\) | 19.1135 | + | 33.1056i | 0.646524 | + | 1.11981i | ||||
\(875\) | −0.832827 | + | 1.44250i | −0.0281547 | + | 0.0487654i | ||||
\(876\) | −0.457028 | + | 1.60740i | −0.0154416 | + | 0.0543090i | ||||
\(877\) | −22.4068 | + | 6.00390i | −0.756625 | + | 0.202737i | −0.616455 | − | 0.787390i | \(-0.711432\pi\) |
−0.140170 | + | 0.990127i | \(0.544765\pi\) | |||||||
\(878\) | −12.1908 | + | 3.26651i | −0.411419 | + | 0.110240i | ||||
\(879\) | −5.32330 | + | 18.7224i | −0.179550 | + | 0.631490i | ||||
\(880\) | −1.90406 | + | 3.29793i | −0.0641859 | + | 0.111173i | ||||
\(881\) | 2.39325 | + | 4.14523i | 0.0806306 | + | 0.139656i | 0.903521 | − | 0.428544i | \(-0.140973\pi\) |
−0.822890 | + | 0.568200i | \(0.807640\pi\) | |||||||
\(882\) | 8.68691 | + | 9.23248i | 0.292503 | + | 0.310874i | ||||
\(883\) | 10.5075i | 0.353606i | 0.984246 | + | 0.176803i | \(0.0565756\pi\) | ||||
−0.984246 | + | 0.176803i | \(0.943424\pi\) | |||||||
\(884\) | 1.77427 | − | 4.42391i | 0.0596752 | − | 0.148792i | ||||
\(885\) | −3.24358 | − | 5.82086i | −0.109032 | − | 0.195666i | ||||
\(886\) | −7.38763 | + | 27.5710i | −0.248192 | + | 0.926266i | ||||
\(887\) | −17.3077 | + | 9.99260i | −0.581136 | + | 0.335519i | −0.761585 | − | 0.648066i | \(-0.775578\pi\) |
0.180449 | + | 0.983584i | \(0.442245\pi\) | |||||||
\(888\) | 17.4359 | + | 0.265361i | 0.585109 | + | 0.00890494i | ||||
\(889\) | −4.87442 | − | 4.87442i | −0.163483 | − | 0.163483i | ||||
\(890\) | −2.31981 | − | 8.65764i | −0.0777602 | − | 0.290205i | ||||
\(891\) | 22.7155 | + | 25.6642i | 0.760999 | + | 0.859782i | ||||
\(892\) | 1.11715 | − | 1.11715i | 0.0374050 | − | 0.0374050i | ||||
\(893\) | 64.5846 | + | 37.2879i | 2.16124 | + | 1.24779i | ||||
\(894\) | 0.581634 | + | 0.347714i | 0.0194527 | + | 0.0116293i | ||||
\(895\) | −14.9451 | − | 4.00452i | −0.499558 | − | 0.133856i | ||||
\(896\) | 1.66565 | 0.0556456 | ||||||||
\(897\) | −33.0955 | + | 25.1884i | −1.10503 | + | 0.841016i | ||||
\(898\) | −29.8510 | −0.996139 | ||||||||
\(899\) | −12.2540 | − | 3.28344i | −0.408692 | − | 0.109509i | ||||
\(900\) | −2.99861 | − | 0.0912946i | −0.0999537 | − | 0.00304315i | ||||
\(901\) | −0.346273 | − | 0.199921i | −0.0115360 | − | 0.00666032i | ||||
\(902\) | −12.0823 | + | 12.0823i | −0.402295 | + | 0.402295i | ||||
\(903\) | −14.6232 | − | 15.0752i | −0.486631 | − | 0.501672i | ||||
\(904\) | −2.95836 | − | 11.0408i | −0.0983937 | − | 0.367210i | ||||
\(905\) | 16.1913 | + | 16.1913i | 0.538217 | + | 0.538217i | ||||
\(906\) | 0.508351 | − | 33.4018i | 0.0168888 | − | 1.10970i | ||||
\(907\) | −5.19882 | + | 3.00154i | −0.172624 | + | 0.0996644i | −0.583822 | − | 0.811881i | \(-0.698444\pi\) |
0.411199 | + | 0.911546i | \(0.365110\pi\) | |||||||
\(908\) | −1.72914 | + | 6.45324i | −0.0573835 | + | 0.214158i | ||||
\(909\) | 11.3868 | − | 18.4052i | 0.377675 | − | 0.610462i | ||||
\(910\) | 5.96268 | + | 0.716701i | 0.197661 | + | 0.0237584i | ||||
\(911\) | 27.5510i | 0.912806i | 0.889773 | + | 0.456403i | \(0.150862\pi\) | ||||
−0.889773 | + | 0.456403i | \(0.849138\pi\) | |||||||
\(912\) | 9.64119 | − | 2.42672i | 0.319252 | − | 0.0803568i | ||||
\(913\) | 23.7219 | + | 41.0875i | 0.785079 | + | 1.35980i | ||||
\(914\) | 15.9522 | − | 27.6301i | 0.527653 | − | 0.913923i | ||||
\(915\) | 7.45854 | + | 2.12067i | 0.246572 | + | 0.0701072i | ||||
\(916\) | 21.9597 | − | 5.88407i | 0.725567 | − | 0.194415i | ||||
\(917\) | 6.73737 | − | 1.80527i | 0.222487 | − | 0.0596153i | ||||
\(918\) | 5.07386 | − | 4.63050i | 0.167462 | − | 0.152829i | ||||
\(919\) | 16.2627 | − | 28.1677i | 0.536456 | − | 0.929168i | −0.462636 | − | 0.886548i | \(-0.653096\pi\) |
0.999091 | − | 0.0426199i | \(-0.0135704\pi\) | |||||||
\(920\) | −3.32990 | − | 5.76756i | −0.109784 | − | 0.190151i | ||||
\(921\) | 12.2476 | + | 48.6589i | 0.403572 | + | 1.60336i | ||||
\(922\) | − | 11.2423i | − | 0.370245i | ||||||
\(923\) | 44.1032 | + | 33.0582i | 1.45167 | + | 1.08812i | ||||
\(924\) | 9.59701 | − | 5.34779i | 0.315719 | − | 0.175929i | ||||
\(925\) | −2.60573 | + | 9.72471i | −0.0856758 | + | 0.319746i | ||||
\(926\) | −11.6084 | + | 6.70209i | −0.381475 | + | 0.220244i | ||||
\(927\) | 37.3124 | − | 20.0538i | 1.22550 | − | 0.658655i | ||||
\(928\) | 1.08463 | + | 1.08463i | 0.0356047 | + | 0.0356047i | ||||
\(929\) | −6.22343 | − | 23.2262i | −0.204184 | − | 0.762026i | −0.989697 | − | 0.143180i | \(-0.954267\pi\) |
0.785512 | − | 0.618846i | \(-0.212399\pi\) | |||||||
\(930\) | 10.2823 | − | 9.97404i | 0.337171 | − | 0.327062i | ||||
\(931\) | 17.1507 | − | 17.1507i | 0.562092 | − | 0.562092i | ||||
\(932\) | −18.1109 | − | 10.4563i | −0.593243 | − | 0.342509i | ||||
\(933\) | 7.85098 | − | 13.1326i | 0.257030 | − | 0.429943i | ||||
\(934\) | −13.3285 | − | 3.57137i | −0.436123 | − | 0.116859i | ||||
\(935\) | 5.03424 | 0.164637 | ||||||||
\(936\) | 3.94713 | + | 10.0708i | 0.129016 | + | 0.329173i | ||||
\(937\) | −4.78415 | −0.156292 | −0.0781458 | − | 0.996942i | \(-0.524900\pi\) | ||||
−0.0781458 | + | 0.996942i | \(0.524900\pi\) | |||||||
\(938\) | 0.364585 | + | 0.0976902i | 0.0119041 | + | 0.00318970i | ||||
\(939\) | −18.1808 | + | 30.4116i | −0.593306 | + | 0.992446i | ||||
\(940\) | −11.2517 | − | 6.49619i | −0.366991 | − | 0.211882i | ||||
\(941\) | −2.48077 | + | 2.48077i | −0.0808706 | + | 0.0808706i | −0.746385 | − | 0.665514i | \(-0.768212\pi\) |
0.665514 | + | 0.746385i | \(0.268212\pi\) | |||||||
\(942\) | −19.7894 | + | 19.1960i | −0.644773 | + | 0.625441i | ||||
\(943\) | −7.73410 | − | 28.8640i | −0.251857 | − | 0.939943i | ||||
\(944\) | −2.72039 | − | 2.72039i | −0.0885412 | − | 0.0885412i | ||||
\(945\) | 7.29013 | + | 4.66507i | 0.237148 | + | 0.151755i | ||||
\(946\) | 24.0085 | − | 13.8613i | 0.780584 | − | 0.450671i | ||||
\(947\) | −3.58159 | + | 13.3667i | −0.116386 | + | 0.434359i | −0.999387 | − | 0.0350128i | \(-0.988853\pi\) |
0.883001 | + | 0.469371i | \(0.155519\pi\) | |||||||
\(948\) | −12.1386 | + | 6.76403i | −0.394242 | + | 0.219685i | ||||
\(949\) | −0.415143 | + | 3.45383i | −0.0134761 | + | 0.112116i | ||||
\(950\) | 5.73996i | 0.186229i | ||||||||
\(951\) | −8.84714 | − | 35.1490i | −0.286888 | − | 1.13979i | ||||
\(952\) | −1.10098 | − | 1.90695i | −0.0356828 | − | 0.0618045i | ||||
\(953\) | 23.6090 | − | 40.8920i | 0.764770 | − | 1.32462i | −0.175598 | − | 0.984462i | \(-0.556186\pi\) |
0.940368 | − | 0.340159i | \(-0.110481\pi\) | |||||||
\(954\) | 0.883196 | − | 0.208065i | 0.0285945 | − | 0.00673635i | ||||
\(955\) | 7.45845 | − | 1.99848i | 0.241350 | − | 0.0646695i | ||||
\(956\) | 3.19279 | − | 0.855506i | 0.103262 | − | 0.0276690i | ||||
\(957\) | 9.73165 | + | 2.76698i | 0.314580 | + | 0.0894438i | ||||
\(958\) | 15.4739 | − | 26.8016i | 0.499940 | − | 0.865921i | ||||
\(959\) | −10.0070 | − | 17.3327i | −0.323144 | − | 0.559701i | ||||
\(960\) | −1.67966 | + | 0.422776i | −0.0542108 | + | 0.0136450i | ||||
\(961\) | 37.4026i | 1.20654i | ||||||||
\(962\) | 35.9336 | − | 5.14357i | 1.15854 | − | 0.165836i | ||||
\(963\) | −15.0308 | − | 9.29912i | −0.484361 | − | 0.299660i | ||||
\(964\) | −2.66309 | + | 9.93879i | −0.0857724 | + | 0.320107i | ||||
\(965\) | 5.53616 | − | 3.19630i | 0.178215 | − | 0.102893i | ||||
\(966\) | −0.292382 | + | 19.2113i | −0.00940725 | + | 0.618113i | ||||
\(967\) | −12.9619 | − | 12.9619i | −0.416828 | − | 0.416828i | 0.467281 | − | 0.884109i | \(-0.345234\pi\) |
−0.884109 | + | 0.467281i | \(0.845234\pi\) | |||||||
\(968\) | 0.906332 | + | 3.38248i | 0.0291306 | + | 0.108717i | ||||
\(969\) | −9.15097 | − | 9.43381i | −0.293971 | − | 0.303058i | ||||
\(970\) | −1.19423 | + | 1.19423i | −0.0383445 | + | 0.0383445i | ||||
\(971\) | −7.70575 | − | 4.44892i | −0.247289 | − | 0.142773i | 0.371233 | − | 0.928540i | \(-0.378935\pi\) |
−0.618522 | + | 0.785767i | \(0.712268\pi\) | |||||||
\(972\) | −1.18499 | + | 15.5434i | −0.0380086 | + | 0.498553i | ||||
\(973\) | −6.04547 | − | 1.61988i | −0.193809 | − | 0.0519309i | ||||
\(974\) | −28.8687 | −0.925014 | ||||||||
\(975\) | −6.19474 | + | 0.790720i | −0.198390 | + | 0.0253233i | ||||
\(976\) | 4.47687 | 0.143301 | ||||||||
\(977\) | −6.37132 | − | 1.70719i | −0.203837 | − | 0.0546178i | 0.155456 | − | 0.987843i | \(-0.450315\pi\) |
−0.359293 | + | 0.933225i | \(0.616982\pi\) | |||||||
\(978\) | 19.8408 | + | 11.8613i | 0.634440 | + | 0.379282i | ||||
\(979\) | −29.5595 | − | 17.0662i | −0.944726 | − | 0.545438i | ||||
\(980\) | −2.98795 | + | 2.98795i | −0.0954465 | + | 0.0954465i | ||||
\(981\) | 9.04716 | − | 30.0721i | 0.288853 | − | 0.960127i | ||||
\(982\) | 2.07030 | + | 7.72647i | 0.0660660 | + | 0.246562i | ||||
\(983\) | −17.6609 | − | 17.6609i | −0.563294 | − | 0.563294i | 0.366947 | − | 0.930242i | \(-0.380403\pi\) |
−0.930242 | + | 0.366947i | \(0.880403\pi\) | |||||||
\(984\) | −7.77074 | − | 0.118265i | −0.247722 | − | 0.00377016i | ||||
\(985\) | −12.7145 | + | 7.34069i | −0.405116 | + | 0.233894i | ||||
\(986\) | 0.524826 | − | 1.95868i | 0.0167139 | − | 0.0623770i | ||||
\(987\) | 18.2454 | + | 32.7427i | 0.580756 | + | 1.04221i | ||||
\(988\) | 19.0298 | − | 8.13500i | 0.605420 | − | 0.258809i | ||||
\(989\) | 48.4825i | 1.54165i | ||||||||
\(990\) | −8.32034 | + | 7.82867i | −0.264438 | + | 0.248812i | ||||
\(991\) | −8.86830 | − | 15.3603i | −0.281711 | − | 0.487937i | 0.690095 | − | 0.723718i | \(-0.257569\pi\) |
−0.971806 | + | 0.235781i | \(0.924235\pi\) | |||||||
\(992\) | 4.13529 | − | 7.16254i | 0.131296 | − | 0.227411i | ||||
\(993\) | −13.1763 | + | 46.3420i | −0.418138 | + | 1.47062i | ||||
\(994\) | 24.5950 | − | 6.59020i | 0.780105 | − | 0.209028i | ||||
\(995\) | 2.81296 | − | 0.753732i | 0.0891770 | − | 0.0238949i | ||||
\(996\) | −5.90156 | + | 20.7562i | −0.186998 | + | 0.657685i | ||||
\(997\) | 20.3319 | − | 35.2159i | 0.643918 | − | 1.11530i | −0.340632 | − | 0.940197i | \(-0.610641\pi\) |
0.984550 | − | 0.175102i | \(-0.0560257\pi\) | |||||||
\(998\) | −10.9012 | − | 18.8815i | −0.345072 | − | 0.597682i | ||||
\(999\) | 49.8605 | + | 15.8318i | 1.57752 | + | 0.500896i |
(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 | 390.2.bh.c.11.4 | ✓ | 40 | |
3.2 | odd | 2 | inner | 390.2.bh.c.11.6 | yes | 40 | |
13.6 | odd | 12 | inner | 390.2.bh.c.71.6 | yes | 40 | |
39.32 | even | 12 | inner | 390.2.bh.c.71.4 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bh.c.11.4 | ✓ | 40 | 1.1 | even | 1 | trivial | |
390.2.bh.c.11.6 | yes | 40 | 3.2 | odd | 2 | inner | |
390.2.bh.c.71.4 | yes | 40 | 39.32 | even | 12 | inner | |
390.2.bh.c.71.6 | yes | 40 | 13.6 | odd | 12 | inner |