Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(499,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.499");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.j (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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 499.13 | ||
Character | \(\chi\) | \(=\) | 804.499 |
Dual form | 804.2.j.a.775.13 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.699111 | − | 1.22933i | −0.494346 | − | 0.869265i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.02249 | + | 1.71887i | −0.511244 | + | 0.859436i | ||||
\(5\) | 3.18642i | 1.42501i | 0.701666 | + | 0.712506i | \(0.252440\pi\) | ||||
−0.701666 | + | 0.712506i | \(0.747560\pi\) | |||||||
\(6\) | 0.699111 | + | 1.22933i | 0.285411 | + | 0.501870i | ||||
\(7\) | −2.40111 | + | 4.15884i | −0.907533 | + | 1.57189i | −0.0900536 | + | 0.995937i | \(0.528704\pi\) |
−0.817480 | + | 0.575957i | \(0.804629\pi\) | |||||||
\(8\) | 2.82789 | + | 0.0552894i | 0.999809 | + | 0.0195478i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 3.91715 | − | 2.22766i | 1.23871 | − | 0.704449i | ||||
\(11\) | 2.46827 | − | 4.27516i | 0.744210 | − | 1.28901i | −0.206353 | − | 0.978478i | \(-0.566159\pi\) |
0.950563 | − | 0.310532i | \(-0.100507\pi\) | |||||||
\(12\) | 1.02249 | − | 1.71887i | 0.295167 | − | 0.496195i | ||||
\(13\) | −1.30002 | + | 0.750569i | −0.360562 | + | 0.208170i | −0.669327 | − | 0.742968i | \(-0.733418\pi\) |
0.308765 | + | 0.951138i | \(0.400084\pi\) | |||||||
\(14\) | 6.79121 | + | 0.0442545i | 1.81503 | + | 0.0118275i | ||||
\(15\) | − | 3.18642i | − | 0.822731i | ||||||
\(16\) | −1.90904 | − | 3.51505i | −0.477259 | − | 0.878762i | ||||
\(17\) | 3.33782 | + | 5.78127i | 0.809539 | + | 1.40216i | 0.913183 | + | 0.407549i | \(0.133616\pi\) |
−0.103644 | + | 0.994614i | \(0.533050\pi\) | |||||||
\(18\) | −0.699111 | − | 1.22933i | −0.164782 | − | 0.289755i | ||||
\(19\) | 3.66111 | − | 2.11374i | 0.839916 | − | 0.484926i | −0.0173195 | − | 0.999850i | \(-0.505513\pi\) |
0.857236 | + | 0.514924i | \(0.172180\pi\) | |||||||
\(20\) | −5.47705 | − | 3.25808i | −1.22471 | − | 0.728528i | ||||
\(21\) | 2.40111 | − | 4.15884i | 0.523965 | − | 0.907533i | ||||
\(22\) | −6.98116 | − | 0.0454922i | −1.48839 | − | 0.00969898i | ||||
\(23\) | −6.42813 | + | 3.71128i | −1.34036 | + | 0.773856i | −0.986860 | − | 0.161580i | \(-0.948341\pi\) |
−0.353498 | + | 0.935435i | \(0.615008\pi\) | |||||||
\(24\) | −2.82789 | − | 0.0552894i | −0.577240 | − | 0.0112859i | ||||
\(25\) | −5.15329 | −1.03066 | ||||||||
\(26\) | 1.83156 | + | 1.07342i | 0.359198 | + | 0.210516i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −4.69341 | − | 8.37956i | −0.886971 | − | 1.58359i | ||||
\(29\) | −2.65582 | + | 4.60001i | −0.493173 | + | 0.854201i | −0.999969 | − | 0.00786524i | \(-0.997496\pi\) |
0.506796 | + | 0.862066i | \(0.330830\pi\) | |||||||
\(30\) | −3.91715 | + | 2.22766i | −0.715171 | + | 0.406714i | ||||
\(31\) | −0.397098 | + | 0.687793i | −0.0713209 | + | 0.123531i | −0.899480 | − | 0.436961i | \(-0.856055\pi\) |
0.828160 | + | 0.560492i | \(0.189388\pi\) | |||||||
\(32\) | −2.98651 | + | 4.80424i | −0.527946 | + | 0.849278i | ||||
\(33\) | −2.46827 | + | 4.27516i | −0.429670 | + | 0.744210i | ||||
\(34\) | 4.77356 | − | 8.14501i | 0.818659 | − | 1.39686i | ||||
\(35\) | −13.2518 | − | 7.65094i | −2.23997 | − | 1.29325i | ||||
\(36\) | −1.02249 | + | 1.71887i | −0.170415 | + | 0.286479i | ||||
\(37\) | −0.704760 | − | 1.22068i | −0.115862 | − | 0.200678i | 0.802262 | − | 0.596972i | \(-0.203630\pi\) |
−0.918124 | + | 0.396293i | \(0.870296\pi\) | |||||||
\(38\) | −5.15800 | − | 3.02296i | −0.836738 | − | 0.490389i | ||||
\(39\) | 1.30002 | − | 0.750569i | 0.208170 | − | 0.120187i | ||||
\(40\) | −0.176175 | + | 9.01084i | −0.0278558 | + | 1.42474i | ||||
\(41\) | −4.56779 | − | 2.63721i | −0.713368 | − | 0.411863i | 0.0989386 | − | 0.995094i | \(-0.468455\pi\) |
−0.812307 | + | 0.583230i | \(0.801789\pi\) | |||||||
\(42\) | −6.79121 | − | 0.0442545i | −1.04791 | − | 0.00682861i | ||||
\(43\) | −9.35287 | −1.42630 | −0.713150 | − | 0.701012i | \(-0.752732\pi\) | ||||
−0.713150 | + | 0.701012i | \(0.752732\pi\) | |||||||
\(44\) | 4.82468 | + | 8.61393i | 0.727348 | + | 1.29860i | ||||
\(45\) | 3.18642i | 0.475004i | ||||||||
\(46\) | 9.05635 | + | 5.30767i | 1.33529 | + | 0.782573i | ||||
\(47\) | 4.15926 | + | 2.40135i | 0.606690 | + | 0.350273i | 0.771669 | − | 0.636024i | \(-0.219422\pi\) |
−0.164979 | + | 0.986297i | \(0.552756\pi\) | |||||||
\(48\) | 1.90904 | + | 3.51505i | 0.275546 | + | 0.507354i | ||||
\(49\) | −8.03064 | − | 13.9095i | −1.14723 | − | 1.98707i | ||||
\(50\) | 3.60272 | + | 6.33507i | 0.509502 | + | 0.895915i | ||||
\(51\) | −3.33782 | − | 5.78127i | −0.467388 | − | 0.809539i | ||||
\(52\) | 0.0391266 | − | 3.00202i | 0.00542588 | − | 0.416305i | ||||
\(53\) | − | 5.57183i | − | 0.765349i | −0.923883 | − | 0.382675i | \(-0.875003\pi\) | ||
0.923883 | − | 0.382675i | \(-0.124997\pi\) | |||||||
\(54\) | 0.699111 | + | 1.22933i | 0.0951370 | + | 0.167290i | ||||
\(55\) | 13.6225 | + | 7.86494i | 1.83685 | + | 1.06051i | ||||
\(56\) | −7.02000 | + | 11.6280i | −0.938087 | + | 1.55385i | ||||
\(57\) | −3.66111 | + | 2.11374i | −0.484926 | + | 0.279972i | ||||
\(58\) | 7.51163 | + | 0.0489490i | 0.986325 | + | 0.00642732i | ||||
\(59\) | 5.46021i | 0.710859i | 0.934703 | + | 0.355429i | \(0.115665\pi\) | ||||
−0.934703 | + | 0.355429i | \(0.884335\pi\) | |||||||
\(60\) | 5.47705 | + | 3.25808i | 0.707084 | + | 0.420616i | ||||
\(61\) | 7.29427 | − | 4.21135i | 0.933935 | − | 0.539208i | 0.0458812 | − | 0.998947i | \(-0.485390\pi\) |
0.888054 | + | 0.459739i | \(0.152057\pi\) | |||||||
\(62\) | 1.12314 | + | 0.00731885i | 0.142639 | + | 0.000929495i | ||||
\(63\) | −2.40111 | + | 4.15884i | −0.302511 | + | 0.523965i | ||||
\(64\) | 7.99389 | + | 0.312704i | 0.999236 | + | 0.0390881i | ||||
\(65\) | −2.39163 | − | 4.14243i | −0.296645 | − | 0.513805i | ||||
\(66\) | 6.98116 | + | 0.0454922i | 0.859322 | + | 0.00559971i | ||||
\(67\) | −6.99166 | − | 4.25637i | −0.854168 | − | 0.519998i | ||||
\(68\) | −13.3501 | − | 0.173998i | −1.61894 | − | 0.0211003i | ||||
\(69\) | 6.42813 | − | 3.71128i | 0.773856 | − | 0.446786i | ||||
\(70\) | −0.141013 | + | 21.6397i | −0.0168543 | + | 2.58644i | ||||
\(71\) | −5.08416 | − | 2.93534i | −0.603378 | − | 0.348361i | 0.166991 | − | 0.985958i | \(-0.446595\pi\) |
−0.770369 | + | 0.637598i | \(0.779928\pi\) | |||||||
\(72\) | 2.82789 | + | 0.0552894i | 0.333270 | + | 0.00651592i | ||||
\(73\) | 0.0425283 | + | 0.0736612i | 0.00497756 | + | 0.00862139i | 0.868503 | − | 0.495683i | \(-0.165082\pi\) |
−0.863526 | + | 0.504305i | \(0.831749\pi\) | |||||||
\(74\) | −1.00791 | + | 1.71977i | −0.117167 | + | 0.199919i | ||||
\(75\) | 5.15329 | 0.595050 | ||||||||
\(76\) | −0.110188 | + | 8.45425i | −0.0126394 | + | 0.969769i | ||||
\(77\) | 11.8531 | + | 20.5303i | 1.35079 | + | 2.33964i | ||||
\(78\) | −1.83156 | − | 1.07342i | −0.207383 | − | 0.121541i | ||||
\(79\) | 1.33783 | − | 2.31720i | 0.150518 | − | 0.260705i | −0.780900 | − | 0.624656i | \(-0.785239\pi\) |
0.931418 | + | 0.363951i | \(0.118573\pi\) | |||||||
\(80\) | 11.2004 | − | 6.08300i | 1.25225 | − | 0.680100i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −0.0486061 | + | 7.45901i | −0.00536764 | + | 0.823709i | ||||
\(83\) | 2.66441 | − | 1.53830i | 0.292457 | − | 0.168850i | −0.346592 | − | 0.938016i | \(-0.612661\pi\) |
0.639049 | + | 0.769166i | \(0.279328\pi\) | |||||||
\(84\) | 4.69341 | + | 8.37956i | 0.512093 | + | 0.914285i | ||||
\(85\) | −18.4216 | + | 10.6357i | −1.99810 | + | 1.15360i | ||||
\(86\) | 6.53870 | + | 11.4977i | 0.705086 | + | 1.23983i | ||||
\(87\) | 2.65582 | − | 4.60001i | 0.284734 | − | 0.493173i | ||||
\(88\) | 7.21635 | − | 11.9532i | 0.769265 | − | 1.27422i | ||||
\(89\) | −8.37066 | −0.887288 | −0.443644 | − | 0.896203i | \(-0.646314\pi\) | ||||
−0.443644 | + | 0.896203i | \(0.646314\pi\) | |||||||
\(90\) | 3.91715 | − | 2.22766i | 0.412904 | − | 0.234816i | ||||
\(91\) | − | 7.20879i | − | 0.755687i | ||||||
\(92\) | 0.193466 | − | 14.8439i | 0.0201702 | − | 1.54758i | ||||
\(93\) | 0.397098 | − | 0.687793i | 0.0411771 | − | 0.0713209i | ||||
\(94\) | 0.0442589 | − | 6.79190i | 0.00456496 | − | 0.700531i | ||||
\(95\) | 6.73528 | + | 11.6658i | 0.691025 | + | 1.19689i | ||||
\(96\) | 2.98651 | − | 4.80424i | 0.304810 | − | 0.490331i | ||||
\(97\) | 12.2482 | − | 7.07150i | 1.24362 | − | 0.718002i | 0.273788 | − | 0.961790i | \(-0.411723\pi\) |
0.969829 | + | 0.243788i | \(0.0783900\pi\) | |||||||
\(98\) | −11.4850 | + | 19.5965i | −1.16016 | + | 1.97955i | ||||
\(99\) | 2.46827 | − | 4.27516i | 0.248070 | − | 0.429670i | ||||
\(100\) | 5.26917 | − | 8.85784i | 0.526917 | − | 0.885784i | ||||
\(101\) | 2.62304 | + | 1.51442i | 0.261003 | + | 0.150690i | 0.624792 | − | 0.780791i | \(-0.285184\pi\) |
−0.363789 | + | 0.931481i | \(0.618517\pi\) | |||||||
\(102\) | −4.77356 | + | 8.14501i | −0.472653 | + | 0.806476i | ||||
\(103\) | −17.1845 | − | 9.92149i | −1.69324 | − | 0.977594i | −0.951871 | − | 0.306498i | \(-0.900843\pi\) |
−0.741371 | − | 0.671096i | \(-0.765824\pi\) | |||||||
\(104\) | −3.71782 | + | 2.05065i | −0.364562 | + | 0.201082i | ||||
\(105\) | 13.2518 | + | 7.65094i | 1.29325 | + | 0.746656i | ||||
\(106\) | −6.84960 | + | 3.89533i | −0.665292 | + | 0.378347i | ||||
\(107\) | 7.96862i | 0.770355i | 0.922842 | + | 0.385178i | \(0.125860\pi\) | ||||
−0.922842 | + | 0.385178i | \(0.874140\pi\) | |||||||
\(108\) | 1.02249 | − | 1.71887i | 0.0983889 | − | 0.165398i | ||||
\(109\) | 0.0519742i | 0.00497823i | 0.999997 | + | 0.00248911i | \(0.000792310\pi\) | ||||
−0.999997 | + | 0.00248911i | \(0.999208\pi\) | |||||||
\(110\) | 0.144958 | − | 22.2449i | 0.0138212 | − | 2.12097i | ||||
\(111\) | 0.704760 | + | 1.22068i | 0.0668928 | + | 0.115862i | ||||
\(112\) | 19.2023 | + | 0.500629i | 1.81445 | + | 0.0473050i | ||||
\(113\) | 4.26288 | + | 2.46117i | 0.401018 | + | 0.231528i | 0.686923 | − | 0.726730i | \(-0.258961\pi\) |
−0.285905 | + | 0.958258i | \(0.592294\pi\) | |||||||
\(114\) | 5.15800 | + | 3.02296i | 0.483091 | + | 0.283126i | ||||
\(115\) | −11.8257 | − | 20.4827i | −1.10275 | − | 1.91002i | ||||
\(116\) | −5.19129 | − | 9.26847i | −0.481999 | − | 0.860555i | ||||
\(117\) | −1.30002 | + | 0.750569i | −0.120187 | + | 0.0693901i | ||||
\(118\) | 6.71238 | − | 3.81729i | 0.617925 | − | 0.351410i | ||||
\(119\) | −32.0578 | −2.93874 | ||||||||
\(120\) | 0.176175 | − | 9.01084i | 0.0160825 | − | 0.822574i | ||||
\(121\) | −6.68468 | − | 11.5782i | −0.607698 | − | 1.05256i | ||||
\(122\) | −10.2766 | − | 6.02284i | −0.930402 | − | 0.545282i | ||||
\(123\) | 4.56779 | + | 2.63721i | 0.411863 | + | 0.237789i | ||||
\(124\) | −0.776201 | − | 1.38582i | −0.0697049 | − | 0.124450i | ||||
\(125\) | − | 0.488439i | − | 0.0436873i | ||||||
\(126\) | 6.79121 | + | 0.0442545i | 0.605009 | + | 0.00394250i | ||||
\(127\) | −1.52572 | − | 0.880873i | −0.135385 | − | 0.0781648i | 0.430777 | − | 0.902458i | \(-0.358239\pi\) |
−0.566163 | + | 0.824293i | \(0.691573\pi\) | |||||||
\(128\) | −5.20420 | − | 10.0457i | −0.459990 | − | 0.887924i | ||||
\(129\) | 9.35287 | 0.823474 | ||||||||
\(130\) | −3.42038 | + | 5.83611i | −0.299987 | + | 0.511861i | ||||
\(131\) | 18.8890i | 1.65034i | 0.564884 | + | 0.825170i | \(0.308921\pi\) | ||||
−0.564884 | + | 0.825170i | \(0.691079\pi\) | |||||||
\(132\) | −4.82468 | − | 8.61393i | −0.419935 | − | 0.749747i | ||||
\(133\) | 20.3013i | 1.76035i | ||||||||
\(134\) | −0.344515 | + | 11.5707i | −0.0297615 | + | 0.999557i | ||||
\(135\) | − | 3.18642i | − | 0.274244i | ||||||
\(136\) | 9.11932 | + | 16.5333i | 0.781975 | + | 1.41772i | ||||
\(137\) | − | 4.03905i | − | 0.345080i | −0.985003 | − | 0.172540i | \(-0.944803\pi\) | ||
0.985003 | − | 0.172540i | \(-0.0551974\pi\) | |||||||
\(138\) | −9.05635 | − | 5.30767i | −0.770928 | − | 0.451819i | ||||
\(139\) | 11.8276 | 1.00321 | 0.501604 | − | 0.865097i | \(-0.332743\pi\) | ||||
0.501604 | + | 0.865097i | \(0.332743\pi\) | |||||||
\(140\) | 26.7008 | − | 14.9552i | 2.25663 | − | 1.26394i | ||||
\(141\) | −4.15926 | − | 2.40135i | −0.350273 | − | 0.202230i | ||||
\(142\) | −0.0541008 | + | 8.30222i | −0.00454004 | + | 0.696707i | ||||
\(143\) | 7.41042i | 0.619690i | ||||||||
\(144\) | −1.90904 | − | 3.51505i | −0.159086 | − | 0.292921i | ||||
\(145\) | −14.6576 | − | 8.46256i | −1.21725 | − | 0.702777i | ||||
\(146\) | 0.0608217 | − | 0.103779i | 0.00503364 | − | 0.00858878i | ||||
\(147\) | 8.03064 | + | 13.9095i | 0.662356 | + | 1.14723i | ||||
\(148\) | 2.81880 | + | 0.0367386i | 0.231704 | + | 0.00301989i | ||||
\(149\) | 6.94608 | 0.569045 | 0.284523 | − | 0.958669i | \(-0.408165\pi\) | ||||
0.284523 | + | 0.958669i | \(0.408165\pi\) | |||||||
\(150\) | −3.60272 | − | 6.33507i | −0.294161 | − | 0.517257i | ||||
\(151\) | −9.07534 | + | 5.23965i | −0.738541 | + | 0.426397i | −0.821539 | − | 0.570153i | \(-0.806884\pi\) |
0.0829977 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(152\) | 10.4701 | − | 5.77500i | 0.849235 | − | 0.468415i | ||||
\(153\) | 3.33782 | + | 5.78127i | 0.269846 | + | 0.467388i | ||||
\(154\) | 16.9517 | − | 28.9243i | 1.36601 | − | 2.33079i | ||||
\(155\) | −2.19160 | − | 1.26532i | −0.176034 | − | 0.101633i | ||||
\(156\) | −0.0391266 | + | 3.00202i | −0.00313263 | + | 0.240354i | ||||
\(157\) | −2.56044 | − | 4.43481i | −0.204345 | − | 0.353936i | 0.745579 | − | 0.666418i | \(-0.232173\pi\) |
−0.949924 | + | 0.312481i | \(0.898840\pi\) | |||||||
\(158\) | −3.78388 | − | 0.0246574i | −0.301030 | − | 0.00196164i | ||||
\(159\) | 5.57183i | 0.441875i | ||||||||
\(160\) | −15.3083 | − | 9.51630i | −1.21023 | − | 0.752329i | ||||
\(161\) | − | 35.6447i | − | 2.80920i | ||||||
\(162\) | −0.699111 | − | 1.22933i | −0.0549273 | − | 0.0965850i | ||||
\(163\) | 11.1484 | + | 6.43651i | 0.873208 | + | 0.504147i | 0.868413 | − | 0.495842i | \(-0.165140\pi\) |
0.00479475 | + | 0.999989i | \(0.498474\pi\) | |||||||
\(164\) | 9.20353 | − | 5.15492i | 0.718675 | − | 0.402532i | ||||
\(165\) | −13.6225 | − | 7.86494i | −1.06051 | − | 0.612285i | ||||
\(166\) | −3.75379 | − | 2.19999i | −0.291351 | − | 0.170752i | ||||
\(167\) | 0.417022 | + | 0.240768i | 0.0322701 | + | 0.0186312i | 0.516048 | − | 0.856559i | \(-0.327403\pi\) |
−0.483778 | + | 0.875191i | \(0.660736\pi\) | |||||||
\(168\) | 7.02000 | − | 11.6280i | 0.541605 | − | 0.897118i | ||||
\(169\) | −5.37329 | + | 9.30681i | −0.413330 | + | 0.715909i | ||||
\(170\) | 25.9535 | + | 15.2106i | 1.99054 | + | 1.16660i | ||||
\(171\) | 3.66111 | − | 2.11374i | 0.279972 | − | 0.161642i | ||||
\(172\) | 9.56320 | − | 16.0764i | 0.729187 | − | 1.22581i | ||||
\(173\) | 7.30608 | + | 12.6545i | 0.555471 | + | 0.962103i | 0.997867 | + | 0.0652837i | \(0.0207952\pi\) |
−0.442396 | + | 0.896820i | \(0.645871\pi\) | |||||||
\(174\) | −7.51163 | − | 0.0489490i | −0.569455 | − | 0.00371081i | ||||
\(175\) | 12.3736 | − | 21.4317i | 0.935356 | − | 1.62008i | ||||
\(176\) | −19.7394 | − | 0.514631i | −1.48791 | − | 0.0387918i | ||||
\(177\) | − | 5.46021i | − | 0.410414i | ||||||
\(178\) | 5.85202 | + | 10.2903i | 0.438627 | + | 0.771288i | ||||
\(179\) | 10.7114 | 0.800610 | 0.400305 | − | 0.916382i | \(-0.368904\pi\) | ||||
0.400305 | + | 0.916382i | \(0.368904\pi\) | |||||||
\(180\) | −5.47705 | − | 3.25808i | −0.408235 | − | 0.242843i | ||||
\(181\) | 2.99527 | − | 5.18797i | 0.222637 | − | 0.385619i | −0.732971 | − | 0.680260i | \(-0.761867\pi\) |
0.955608 | + | 0.294641i | \(0.0952002\pi\) | |||||||
\(182\) | −8.86196 | + | 5.03974i | −0.656892 | + | 0.373571i | ||||
\(183\) | −7.29427 | + | 4.21135i | −0.539208 | + | 0.311312i | ||||
\(184\) | −18.3832 | + | 10.1397i | −1.35523 | + | 0.747507i | ||||
\(185\) | 3.88960 | − | 2.24566i | 0.285969 | − | 0.165104i | ||||
\(186\) | −1.12314 | − | 0.00731885i | −0.0823525 | − | 0.000536644i | ||||
\(187\) | 32.9545 | 2.40987 | ||||||||
\(188\) | −8.38040 | + | 4.69388i | −0.611204 | + | 0.342336i | ||||
\(189\) | 2.40111 | − | 4.15884i | 0.174655 | − | 0.302511i | ||||
\(190\) | 9.63242 | − | 16.4356i | 0.698809 | − | 1.19236i | ||||
\(191\) | 9.06987 | + | 15.7095i | 0.656273 | + | 1.13670i | 0.981573 | + | 0.191087i | \(0.0612013\pi\) |
−0.325300 | + | 0.945611i | \(0.605465\pi\) | |||||||
\(192\) | −7.99389 | − | 0.312704i | −0.576909 | − | 0.0225675i | ||||
\(193\) | −8.74131 | −0.629213 | −0.314607 | − | 0.949222i | \(-0.601873\pi\) | ||||
−0.314607 | + | 0.949222i | \(0.601873\pi\) | |||||||
\(194\) | −17.2560 | − | 10.1133i | −1.23891 | − | 0.726091i | ||||
\(195\) | 2.39163 | + | 4.14243i | 0.171268 | + | 0.296645i | ||||
\(196\) | 32.1198 | + | 0.418631i | 2.29427 | + | 0.0299022i | ||||
\(197\) | 11.9922 | + | 6.92368i | 0.854406 | + | 0.493292i | 0.862135 | − | 0.506678i | \(-0.169127\pi\) |
−0.00772872 | + | 0.999970i | \(0.502460\pi\) | |||||||
\(198\) | −6.98116 | − | 0.0454922i | −0.496130 | − | 0.00323299i | ||||
\(199\) | −11.8573 | + | 6.84583i | −0.840543 | + | 0.485288i | −0.857449 | − | 0.514569i | \(-0.827952\pi\) |
0.0169055 | + | 0.999857i | \(0.494619\pi\) | |||||||
\(200\) | −14.5729 | − | 0.284922i | −1.03046 | − | 0.0201470i | ||||
\(201\) | 6.99166 | + | 4.25637i | 0.493154 | + | 0.300221i | ||||
\(202\) | 0.0279120 | − | 4.28332i | 0.00196388 | − | 0.301374i | ||||
\(203\) | −12.7538 | − | 22.0902i | −0.895142 | − | 1.55043i | ||||
\(204\) | 13.3501 | + | 0.173998i | 0.934696 | + | 0.0121823i | ||||
\(205\) | 8.40327 | − | 14.5549i | 0.586910 | − | 1.01656i | ||||
\(206\) | −0.182862 | + | 28.0616i | −0.0127406 | + | 1.95515i | ||||
\(207\) | −6.42813 | + | 3.71128i | −0.446786 | + | 0.257952i | ||||
\(208\) | 5.12008 | + | 3.13678i | 0.355014 | + | 0.217497i | ||||
\(209\) | − | 20.8691i | − | 1.44355i | ||||||
\(210\) | 0.141013 | − | 21.6397i | 0.00973085 | − | 1.49328i | ||||
\(211\) | −7.13792 | + | 4.12108i | −0.491395 | + | 0.283707i | −0.725153 | − | 0.688588i | \(-0.758231\pi\) |
0.233758 | + | 0.972295i | \(0.424898\pi\) | |||||||
\(212\) | 9.57726 | + | 5.69713i | 0.657769 | + | 0.391280i | ||||
\(213\) | 5.08416 | + | 2.93534i | 0.348361 | + | 0.201126i | ||||
\(214\) | 9.79603 | − | 5.57095i | 0.669643 | − | 0.380822i | ||||
\(215\) | − | 29.8022i | − | 2.03249i | ||||||
\(216\) | −2.82789 | − | 0.0552894i | −0.192413 | − | 0.00376197i | ||||
\(217\) | −1.90695 | − | 3.30293i | −0.129452 | − | 0.224218i | ||||
\(218\) | 0.0638933 | − | 0.0363357i | 0.00432740 | − | 0.00246097i | ||||
\(219\) | −0.0425283 | − | 0.0736612i | −0.00287380 | − | 0.00497756i | ||||
\(220\) | −27.4476 | + | 15.3735i | −1.85052 | + | 1.03648i | ||||
\(221\) | −8.67848 | − | 5.01052i | −0.583778 | − | 0.337044i | ||||
\(222\) | 1.00791 | − | 1.71977i | 0.0676464 | − | 0.115423i | ||||
\(223\) | 11.7095i | 0.784126i | 0.919938 | + | 0.392063i | \(0.128239\pi\) | ||||
−0.919938 | + | 0.392063i | \(0.871761\pi\) | |||||||
\(224\) | −12.8091 | − | 23.9559i | −0.855846 | − | 1.60062i | ||||
\(225\) | −5.15329 | −0.343553 | ||||||||
\(226\) | 0.0453615 | − | 6.96110i | 0.00301740 | − | 0.463046i | ||||
\(227\) | −21.4107 | − | 12.3615i | −1.42108 | − | 0.820461i | −0.424689 | − | 0.905339i | \(-0.639617\pi\) |
−0.996391 | + | 0.0848777i | \(0.972950\pi\) | |||||||
\(228\) | 0.110188 | − | 8.45425i | 0.00729736 | − | 0.559897i | ||||
\(229\) | −6.18629 | + | 3.57165i | −0.408801 | + | 0.236022i | −0.690275 | − | 0.723547i | \(-0.742510\pi\) |
0.281473 | + | 0.959569i | \(0.409177\pi\) | |||||||
\(230\) | −16.9125 | + | 28.8574i | −1.11518 | + | 1.90280i | ||||
\(231\) | −11.8531 | − | 20.5303i | −0.779880 | − | 1.35079i | ||||
\(232\) | −7.76468 | + | 12.8615i | −0.509777 | + | 0.844397i | ||||
\(233\) | 12.4280 | + | 7.17529i | 0.814183 | + | 0.470069i | 0.848407 | − | 0.529345i | \(-0.177562\pi\) |
−0.0342232 | + | 0.999414i | \(0.510896\pi\) | |||||||
\(234\) | 1.83156 | + | 1.07342i | 0.119733 | + | 0.0701718i | ||||
\(235\) | −7.65171 | + | 13.2532i | −0.499143 | + | 0.864541i | ||||
\(236\) | −9.38540 | − | 5.58300i | −0.610937 | − | 0.363422i | ||||
\(237\) | −1.33783 | + | 2.31720i | −0.0869016 | + | 0.150518i | ||||
\(238\) | 22.4120 | + | 39.4095i | 1.45275 | + | 2.55454i | ||||
\(239\) | 13.5434 | − | 23.4579i | 0.876050 | − | 1.51736i | 0.0204093 | − | 0.999792i | \(-0.493503\pi\) |
0.855640 | − | 0.517571i | \(-0.173164\pi\) | |||||||
\(240\) | −11.2004 | + | 6.08300i | −0.722985 | + | 0.392656i | ||||
\(241\) | −13.8862 | −0.894486 | −0.447243 | − | 0.894412i | \(-0.647594\pi\) | ||||
−0.447243 | + | 0.894412i | \(0.647594\pi\) | |||||||
\(242\) | −9.56006 | + | 16.3121i | −0.614544 | + | 1.04858i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −0.219534 | + | 16.8440i | −0.0140542 | + | 1.07832i | ||||
\(245\) | 44.3215 | − | 25.5890i | 2.83159 | − | 1.63482i | ||||
\(246\) | 0.0486061 | − | 7.45901i | 0.00309901 | − | 0.475569i | ||||
\(247\) | −3.17302 | + | 5.49583i | −0.201894 | + | 0.349691i | ||||
\(248\) | −1.16098 | + | 1.92305i | −0.0737220 | + | 0.122114i | ||||
\(249\) | −2.66441 | + | 1.53830i | −0.168850 | + | 0.0974858i | ||||
\(250\) | −0.600451 | + | 0.341473i | −0.0379758 | + | 0.0215966i | ||||
\(251\) | 2.31310 | + | 4.00640i | 0.146001 | + | 0.252882i | 0.929746 | − | 0.368201i | \(-0.120026\pi\) |
−0.783745 | + | 0.621083i | \(0.786693\pi\) | |||||||
\(252\) | −4.69341 | − | 8.37956i | −0.295657 | − | 0.527863i | ||||
\(253\) | 36.6417i | 2.30365i | ||||||||
\(254\) | −0.0162352 | + | 2.49143i | −0.00101869 | + | 0.156326i | ||||
\(255\) | 18.4216 | − | 10.6357i | 1.15360 | − | 0.666033i | ||||
\(256\) | −8.71115 | + | 13.4207i | −0.544447 | + | 0.838795i | ||||
\(257\) | 14.5163 | − | 25.1430i | 0.905504 | − | 1.56838i | 0.0852657 | − | 0.996358i | \(-0.472826\pi\) |
0.820239 | − | 0.572021i | \(-0.193841\pi\) | |||||||
\(258\) | −6.53870 | − | 11.4977i | −0.407081 | − | 0.715818i | ||||
\(259\) | 6.76882 | 0.420594 | ||||||||
\(260\) | 9.56571 | + | 0.124674i | 0.593240 | + | 0.00773194i | ||||
\(261\) | −2.65582 | + | 4.60001i | −0.164391 | + | 0.284734i | ||||
\(262\) | 23.2208 | − | 13.2055i | 1.43458 | − | 0.815839i | ||||
\(263\) | 18.2753i | 1.12690i | 0.826150 | + | 0.563450i | \(0.190526\pi\) | ||||
−0.826150 | + | 0.563450i | \(0.809474\pi\) | |||||||
\(264\) | −7.21635 | + | 11.9532i | −0.444136 | + | 0.735669i | ||||
\(265\) | 17.7542 | 1.09063 | ||||||||
\(266\) | 24.9569 | − | 14.1929i | 1.53021 | − | 0.870220i | ||||
\(267\) | 8.37066 | 0.512276 | ||||||||
\(268\) | 14.4650 | − | 7.66569i | 0.883593 | − | 0.468256i | ||||
\(269\) | −30.4479 | −1.85644 | −0.928221 | − | 0.372029i | \(-0.878662\pi\) | ||||
−0.928221 | + | 0.372029i | \(0.878662\pi\) | |||||||
\(270\) | −3.91715 | + | 2.22766i | −0.238390 | + | 0.135571i | ||||
\(271\) | −3.90668 | −0.237314 | −0.118657 | − | 0.992935i | \(-0.537859\pi\) | ||||
−0.118657 | + | 0.992935i | \(0.537859\pi\) | |||||||
\(272\) | 13.9494 | − | 22.7692i | 0.845808 | − | 1.38059i | ||||
\(273\) | 7.20879i | 0.436296i | ||||||||
\(274\) | −4.96532 | + | 2.82375i | −0.299966 | + | 0.170589i | ||||
\(275\) | −12.7197 | + | 22.0311i | −0.767026 | + | 1.32853i | ||||
\(276\) | −0.193466 | + | 14.8439i | −0.0116453 | + | 0.893496i | ||||
\(277\) | −9.87146 | −0.593119 | −0.296559 | − | 0.955014i | \(-0.595839\pi\) | ||||
−0.296559 | + | 0.955014i | \(0.595839\pi\) | |||||||
\(278\) | −8.26884 | − | 14.5400i | −0.495932 | − | 0.872054i | ||||
\(279\) | −0.397098 | + | 0.687793i | −0.0237736 | + | 0.0411771i | ||||
\(280\) | −37.0516 | − | 22.3687i | −2.21426 | − | 1.33678i | ||||
\(281\) | −9.02229 | + | 5.20902i | −0.538224 | + | 0.310744i | −0.744359 | − | 0.667780i | \(-0.767245\pi\) |
0.206135 | + | 0.978524i | \(0.433912\pi\) | |||||||
\(282\) | −0.0442589 | + | 6.79190i | −0.00263558 | + | 0.404452i | ||||
\(283\) | 20.9096i | 1.24295i | 0.783435 | + | 0.621473i | \(0.213465\pi\) | ||||
−0.783435 | + | 0.621473i | \(0.786535\pi\) | |||||||
\(284\) | 10.2440 | − | 5.73766i | 0.607867 | − | 0.340468i | ||||
\(285\) | −6.73528 | − | 11.6658i | −0.398963 | − | 0.691025i | ||||
\(286\) | 9.10982 | − | 5.18070i | 0.538675 | − | 0.306341i | ||||
\(287\) | 21.9355 | − | 12.6645i | 1.29481 | − | 0.747560i | ||||
\(288\) | −2.98651 | + | 4.80424i | −0.175982 | + | 0.283093i | ||||
\(289\) | −13.7820 | + | 23.8712i | −0.810708 | + | 1.40419i | ||||
\(290\) | −0.155972 | + | 23.9352i | −0.00915900 | + | 1.40552i | ||||
\(291\) | −12.2482 | + | 7.07150i | −0.718002 | + | 0.414539i | ||||
\(292\) | −0.170099 | − | 0.00221697i | −0.00995428 | − | 0.000129738i | ||||
\(293\) | −11.1507 | −0.651434 | −0.325717 | − | 0.945467i | \(-0.605606\pi\) | ||||
−0.325717 | + | 0.945467i | \(0.605606\pi\) | |||||||
\(294\) | 11.4850 | − | 19.5965i | 0.669818 | − | 1.14289i | ||||
\(295\) | −17.3985 | −1.01298 | ||||||||
\(296\) | −1.92549 | − | 3.49091i | −0.111917 | − | 0.202905i | ||||
\(297\) | −2.46827 | + | 4.27516i | −0.143223 | + | 0.248070i | ||||
\(298\) | −4.85608 | − | 8.53901i | −0.281305 | − | 0.494651i | ||||
\(299\) | 5.57115 | − | 9.64951i | 0.322188 | − | 0.558046i | ||||
\(300\) | −5.26917 | + | 8.85784i | −0.304216 | + | 0.511408i | ||||
\(301\) | 22.4573 | − | 38.8971i | 1.29441 | − | 2.24199i | ||||
\(302\) | 12.7859 | + | 7.49346i | 0.735747 | + | 0.431200i | ||||
\(303\) | −2.62304 | − | 1.51442i | −0.150690 | − | 0.0870009i | ||||
\(304\) | −14.4191 | − | 8.83377i | −0.826993 | − | 0.506651i | ||||
\(305\) | 13.4191 | + | 23.2426i | 0.768377 | + | 1.33087i | ||||
\(306\) | 4.77356 | − | 8.14501i | 0.272886 | − | 0.465619i | ||||
\(307\) | 19.3296 | − | 11.1599i | 1.10320 | − | 0.636932i | 0.166139 | − | 0.986102i | \(-0.446870\pi\) |
0.937059 | + | 0.349170i | \(0.113537\pi\) | |||||||
\(308\) | −47.4086 | − | 0.617895i | −2.70135 | − | 0.0352078i | ||||
\(309\) | 17.1845 | + | 9.92149i | 0.977594 | + | 0.564414i | ||||
\(310\) | −0.0233209 | + | 3.57879i | −0.00132454 | + | 0.203262i | ||||
\(311\) | 26.8528 | 1.52268 | 0.761342 | − | 0.648351i | \(-0.224541\pi\) | ||||
0.761342 | + | 0.648351i | \(0.224541\pi\) | |||||||
\(312\) | 3.71782 | − | 2.05065i | 0.210480 | − | 0.116095i | ||||
\(313\) | 26.2539i | 1.48396i | 0.670422 | + | 0.741980i | \(0.266113\pi\) | ||||
−0.670422 | + | 0.741980i | \(0.733887\pi\) | |||||||
\(314\) | −3.66180 | + | 6.24804i | −0.206647 | + | 0.352597i | ||||
\(315\) | −13.2518 | − | 7.65094i | −0.746656 | − | 0.431082i | ||||
\(316\) | 2.61504 | + | 4.66887i | 0.147108 | + | 0.262644i | ||||
\(317\) | 12.6695 | + | 21.9443i | 0.711592 | + | 1.23251i | 0.964259 | + | 0.264960i | \(0.0853587\pi\) |
−0.252668 | + | 0.967553i | \(0.581308\pi\) | |||||||
\(318\) | 6.84960 | − | 3.89533i | 0.384106 | − | 0.218439i | ||||
\(319\) | 13.1105 | + | 22.7081i | 0.734049 | + | 1.27141i | ||||
\(320\) | −0.996408 | + | 25.4719i | −0.0557009 | + | 1.42392i | ||||
\(321\) | − | 7.96862i | − | 0.444765i | ||||||
\(322\) | −43.8190 | + | 24.9196i | −2.44194 | + | 1.38872i | ||||
\(323\) | 24.4402 | + | 14.1106i | 1.35989 | + | 0.785133i | ||||
\(324\) | −1.02249 | + | 1.71887i | −0.0568049 | + | 0.0954929i | ||||
\(325\) | 6.69940 | − | 3.86790i | 0.371616 | − | 0.214552i | ||||
\(326\) | 0.118630 | − | 18.2048i | 0.00657033 | − | 1.00827i | ||||
\(327\) | − | 0.0519742i | − | 0.00287418i | ||||||
\(328\) | −12.7714 | − | 7.71029i | −0.705181 | − | 0.425729i | ||||
\(329\) | −19.9737 | + | 11.5318i | −1.10118 | + | 0.635769i | ||||
\(330\) | −0.144958 | + | 22.2449i | −0.00797965 | + | 1.22454i | ||||
\(331\) | 11.2686 | − | 19.5178i | 0.619379 | − | 1.07280i | −0.370220 | − | 0.928944i | \(-0.620718\pi\) |
0.989599 | − | 0.143852i | \(-0.0459490\pi\) | |||||||
\(332\) | −0.0801903 | + | 6.15267i | −0.00440102 | + | 0.337672i | ||||
\(333\) | −0.704760 | − | 1.22068i | −0.0386206 | − | 0.0668928i | ||||
\(334\) | 0.00443756 | − | 0.680980i | 0.000242812 | − | 0.0372616i | ||||
\(335\) | 13.5626 | − | 22.2784i | 0.741003 | − | 1.21720i | ||||
\(336\) | −19.2023 | − | 0.500629i | −1.04757 | − | 0.0273115i | ||||
\(337\) | 19.3137 | − | 11.1508i | 1.05209 | − | 0.607422i | 0.128853 | − | 0.991664i | \(-0.458870\pi\) |
0.923233 | + | 0.384241i | \(0.125537\pi\) | |||||||
\(338\) | 15.1976 | + | 0.0990343i | 0.826643 | + | 0.00538676i | ||||
\(339\) | −4.26288 | − | 2.46117i | −0.231528 | − | 0.133673i | ||||
\(340\) | 0.554430 | − | 42.5392i | 0.0300682 | − | 2.30701i | ||||
\(341\) | 1.96029 | + | 3.39531i | 0.106155 | + | 0.183867i | ||||
\(342\) | −5.15800 | − | 3.02296i | −0.278913 | − | 0.163463i | ||||
\(343\) | 43.5142 | 2.34955 | ||||||||
\(344\) | −26.4489 | − | 0.517115i | −1.42603 | − | 0.0278810i | ||||
\(345\) | 11.8257 | + | 20.4827i | 0.636675 | + | 1.10275i | ||||
\(346\) | 10.4487 | − | 17.8285i | 0.561728 | − | 0.958463i | ||||
\(347\) | −13.9078 | + | 24.0890i | −0.746608 | + | 1.29316i | 0.202832 | + | 0.979214i | \(0.434986\pi\) |
−0.949440 | + | 0.313949i | \(0.898348\pi\) | |||||||
\(348\) | 5.19129 | + | 9.26847i | 0.278282 | + | 0.496842i | ||||
\(349\) | 8.68364 | 0.464825 | 0.232412 | − | 0.972617i | \(-0.425338\pi\) | ||||
0.232412 | + | 0.972617i | \(0.425338\pi\) | |||||||
\(350\) | −34.9971 | − | 0.228056i | −1.87067 | − | 0.0121901i | ||||
\(351\) | 1.30002 | − | 0.750569i | 0.0693901 | − | 0.0400624i | ||||
\(352\) | 13.1674 | + | 24.6260i | 0.701825 | + | 1.31257i | ||||
\(353\) | −20.9381 | + | 12.0886i | −1.11442 | + | 0.643413i | −0.939971 | − | 0.341253i | \(-0.889149\pi\) |
−0.174452 | + | 0.984666i | \(0.555815\pi\) | |||||||
\(354\) | −6.71238 | + | 3.81729i | −0.356759 | + | 0.202887i | ||||
\(355\) | 9.35323 | − | 16.2003i | 0.496418 | − | 0.859821i | ||||
\(356\) | 8.55889 | − | 14.3881i | 0.453620 | − | 0.762567i | ||||
\(357\) | 32.0578 | 1.69668 | ||||||||
\(358\) | −7.48848 | − | 13.1679i | −0.395779 | − | 0.695943i | ||||
\(359\) | − | 8.15691i | − | 0.430505i | −0.976558 | − | 0.215253i | \(-0.930943\pi\) | ||
0.976558 | − | 0.215253i | \(-0.0690575\pi\) | |||||||
\(360\) | −0.176175 | + | 9.01084i | −0.00928526 | + | 0.474913i | ||||
\(361\) | −0.564183 | + | 0.977193i | −0.0296938 | + | 0.0514312i | ||||
\(362\) | −8.47174 | − | 0.0552055i | −0.445265 | − | 0.00290153i | ||||
\(363\) | 6.68468 | + | 11.5782i | 0.350855 | + | 0.607698i | ||||
\(364\) | 12.3910 | + | 7.37090i | 0.649464 | + | 0.386340i | ||||
\(365\) | −0.234716 | + | 0.135513i | −0.0122856 | + | 0.00709309i | ||||
\(366\) | 10.2766 | + | 6.02284i | 0.537168 | + | 0.314819i | ||||
\(367\) | −5.76594 | + | 9.98691i | −0.300980 | + | 0.521312i | −0.976358 | − | 0.216159i | \(-0.930647\pi\) |
0.675378 | + | 0.737471i | \(0.263980\pi\) | |||||||
\(368\) | 25.3169 | + | 15.5102i | 1.31973 | + | 0.808526i | ||||
\(369\) | −4.56779 | − | 2.63721i | −0.237789 | − | 0.137288i | ||||
\(370\) | −5.47991 | − | 3.21162i | −0.284887 | − | 0.166964i | ||||
\(371\) | 23.1723 | + | 13.3786i | 1.20305 | + | 0.694580i | ||||
\(372\) | 0.776201 | + | 1.38582i | 0.0402441 | + | 0.0718514i | ||||
\(373\) | −5.41635 | − | 3.12713i | −0.280448 | − | 0.161917i | 0.353178 | − | 0.935556i | \(-0.385101\pi\) |
−0.633626 | + | 0.773639i | \(0.718434\pi\) | |||||||
\(374\) | −23.0388 | − | 40.5118i | −1.19131 | − | 2.09482i | ||||
\(375\) | 0.488439i | 0.0252229i | ||||||||
\(376\) | 11.6291 | + | 7.02071i | 0.599727 | + | 0.362065i | ||||
\(377\) | − | 7.97350i | − | 0.410656i | ||||||
\(378\) | −6.79121 | − | 0.0442545i | −0.349302 | − | 0.00227620i | ||||
\(379\) | 7.69494 | + | 13.3280i | 0.395263 | + | 0.684615i | 0.993135 | − | 0.116977i | \(-0.0373203\pi\) |
−0.597872 | + | 0.801592i | \(0.703987\pi\) | |||||||
\(380\) | −26.9388 | − | 0.351105i | −1.38193 | − | 0.0180113i | ||||
\(381\) | 1.52572 | + | 0.880873i | 0.0781648 | + | 0.0451285i | ||||
\(382\) | 12.9712 | − | 22.1325i | 0.663666 | − | 1.13240i | ||||
\(383\) | 9.68247 | + | 16.7705i | 0.494751 | + | 0.856934i | 0.999982 | − | 0.00605055i | \(-0.00192596\pi\) |
−0.505231 | + | 0.862984i | \(0.668593\pi\) | |||||||
\(384\) | 5.20420 | + | 10.0457i | 0.265576 | + | 0.512643i | ||||
\(385\) | −65.4181 | + | 37.7691i | −3.33401 | + | 1.92489i | ||||
\(386\) | 6.11115 | + | 10.7459i | 0.311049 | + | 0.546953i | ||||
\(387\) | −9.35287 | −0.475433 | ||||||||
\(388\) | −0.368632 | + | 28.2836i | −0.0187144 | + | 1.43588i | ||||
\(389\) | 0.503042 | + | 0.871295i | 0.0255053 | + | 0.0441764i | 0.878496 | − | 0.477749i | \(-0.158547\pi\) |
−0.852991 | + | 0.521926i | \(0.825214\pi\) | |||||||
\(390\) | 3.42038 | − | 5.83611i | 0.173198 | − | 0.295523i | ||||
\(391\) | −42.9118 | − | 24.7751i | −2.17014 | − | 1.25293i | ||||
\(392\) | −21.9407 | − | 39.7784i | −1.10817 | − | 2.00911i | ||||
\(393\) | − | 18.8890i | − | 0.952824i | ||||||
\(394\) | 0.127609 | − | 19.5827i | 0.00642886 | − | 0.986563i | ||||
\(395\) | 7.38356 | + | 4.26290i | 0.371507 | + | 0.214490i | ||||
\(396\) | 4.82468 | + | 8.61393i | 0.242449 | + | 0.432866i | ||||
\(397\) | −27.2887 | −1.36958 | −0.684791 | − | 0.728740i | \(-0.740106\pi\) | ||||
−0.684791 | + | 0.728740i | \(0.740106\pi\) | |||||||
\(398\) | 16.7053 | + | 9.79053i | 0.837363 | + | 0.490755i | ||||
\(399\) | − | 20.3013i | − | 1.01634i | ||||||
\(400\) | 9.83782 | + | 18.1141i | 0.491891 | + | 0.905703i | ||||
\(401\) | 11.4119i | 0.569881i | 0.958545 | + | 0.284941i | \(0.0919739\pi\) | ||||
−0.958545 | + | 0.284941i | \(0.908026\pi\) | |||||||
\(402\) | 0.344515 | − | 11.5707i | 0.0171828 | − | 0.577095i | ||||
\(403\) | − | 1.19220i | − | 0.0593876i | ||||||
\(404\) | −5.28512 | + | 2.96020i | −0.262944 | + | 0.147276i | ||||
\(405\) | 3.18642i | 0.158335i | ||||||||
\(406\) | −18.2398 | + | 31.1221i | −0.905226 | + | 1.54457i | ||||
\(407\) | −6.95814 | −0.344902 | ||||||||
\(408\) | −9.11932 | − | 16.5333i | −0.451474 | − | 0.818521i | ||||
\(409\) | −9.57579 | − | 5.52859i | −0.473492 | − | 0.273371i | 0.244208 | − | 0.969723i | \(-0.421472\pi\) |
−0.717701 | + | 0.696352i | \(0.754805\pi\) | |||||||
\(410\) | −23.7675 | − | 0.154879i | −1.17380 | − | 0.00764895i | ||||
\(411\) | 4.03905i | 0.199232i | ||||||||
\(412\) | 34.6247 | − | 19.3934i | 1.70584 | − | 0.955444i | ||||
\(413\) | −22.7081 | − | 13.1105i | −1.11739 | − | 0.645128i | ||||
\(414\) | 9.05635 | + | 5.30767i | 0.445095 | + | 0.260858i | ||||
\(415\) | 4.90167 | + | 8.48994i | 0.240614 | + | 0.416755i | ||||
\(416\) | 0.276626 | − | 8.48721i | 0.0135627 | − | 0.416120i | ||||
\(417\) | −11.8276 | −0.579202 | ||||||||
\(418\) | −25.6550 | + | 14.5898i | −1.25483 | + | 0.713612i | ||||
\(419\) | 26.0513 | − | 15.0407i | 1.27269 | − | 0.734786i | 0.297194 | − | 0.954817i | \(-0.403949\pi\) |
0.975493 | + | 0.220031i | \(0.0706158\pi\) | |||||||
\(420\) | −26.7008 | + | 14.9552i | −1.30287 | + | 0.729738i | ||||
\(421\) | 7.85077 | + | 13.5979i | 0.382623 | + | 0.662722i | 0.991436 | − | 0.130591i | \(-0.0416875\pi\) |
−0.608813 | + | 0.793313i | \(0.708354\pi\) | |||||||
\(422\) | 10.0564 | + | 5.89374i | 0.489536 | + | 0.286903i | ||||
\(423\) | 4.15926 | + | 2.40135i | 0.202230 | + | 0.116758i | ||||
\(424\) | 0.308063 | − | 15.7565i | 0.0149609 | − | 0.765203i | ||||
\(425\) | −17.2007 | − | 29.7925i | −0.834358 | − | 1.44515i | ||||
\(426\) | 0.0541008 | − | 8.30222i | 0.00262119 | − | 0.402244i | ||||
\(427\) | 40.4476i | 1.95740i | ||||||||
\(428\) | −13.6970 | − | 8.14781i | −0.662071 | − | 0.393839i | ||||
\(429\) | − | 7.41042i | − | 0.357778i | ||||||
\(430\) | −36.6366 | + | 20.8350i | −1.76678 | + | 1.00476i | ||||
\(431\) | −9.93403 | − | 5.73542i | −0.478506 | − | 0.276265i | 0.241288 | − | 0.970454i | \(-0.422430\pi\) |
−0.719793 | + | 0.694188i | \(0.755764\pi\) | |||||||
\(432\) | 1.90904 | + | 3.51505i | 0.0918486 | + | 0.169118i | ||||
\(433\) | −14.6141 | − | 8.43745i | −0.702308 | − | 0.405478i | 0.105898 | − | 0.994377i | \(-0.466228\pi\) |
−0.808207 | + | 0.588899i | \(0.799562\pi\) | |||||||
\(434\) | −2.72721 | + | 4.65338i | −0.130910 | + | 0.223369i | ||||
\(435\) | 14.6576 | + | 8.46256i | 0.702777 | + | 0.405749i | ||||
\(436\) | −0.0893370 | − | 0.0531430i | −0.00427847 | − | 0.00254509i | ||||
\(437\) | −15.6894 | + | 27.1748i | −0.750525 | + | 1.29995i | ||||
\(438\) | −0.0608217 | + | 0.103779i | −0.00290617 | + | 0.00495873i | ||||
\(439\) | −5.62622 | + | 3.24830i | −0.268525 | + | 0.155033i | −0.628217 | − | 0.778038i | \(-0.716215\pi\) |
0.359692 | + | 0.933071i | \(0.382882\pi\) | |||||||
\(440\) | 38.0880 | + | 22.9943i | 1.81577 | + | 1.09621i | ||||
\(441\) | −8.03064 | − | 13.9095i | −0.382411 | − | 0.662356i | ||||
\(442\) | −0.0923482 | + | 14.1716i | −0.00439256 | + | 0.674074i | ||||
\(443\) | 3.84527 | − | 6.66020i | 0.182694 | − | 0.316436i | −0.760103 | − | 0.649803i | \(-0.774852\pi\) |
0.942797 | + | 0.333367i | \(0.108185\pi\) | |||||||
\(444\) | −2.81880 | − | 0.0367386i | −0.133774 | − | 0.00174354i | ||||
\(445\) | − | 26.6724i | − | 1.26440i | ||||||
\(446\) | 14.3948 | − | 8.18624i | 0.681614 | − | 0.387630i | ||||
\(447\) | −6.94608 | −0.328539 | ||||||||
\(448\) | −20.4947 | + | 32.4945i | −0.968282 | + | 1.53522i | ||||
\(449\) | −8.92877 | + | 15.4651i | −0.421375 | + | 0.729842i | −0.996074 | − | 0.0885223i | \(-0.971786\pi\) |
0.574700 | + | 0.818364i | \(0.305119\pi\) | |||||||
\(450\) | 3.60272 | + | 6.33507i | 0.169834 | + | 0.298638i | ||||
\(451\) | −22.5490 | + | 13.0187i | −1.06179 | + | 0.613026i | ||||
\(452\) | −8.58918 | + | 4.81082i | −0.404001 | + | 0.226282i | ||||
\(453\) | 9.07534 | − | 5.23965i | 0.426397 | − | 0.246180i | ||||
\(454\) | −0.227833 | + | 34.9629i | −0.0106927 | + | 1.64089i | ||||
\(455\) | 22.9702 | 1.07686 | ||||||||
\(456\) | −10.4701 | + | 5.77500i | −0.490306 | + | 0.270439i | ||||
\(457\) | 11.6293 | − | 20.1425i | 0.543995 | − | 0.942228i | −0.454674 | − | 0.890658i | \(-0.650244\pi\) |
0.998669 | − | 0.0515698i | \(-0.0164225\pi\) | |||||||
\(458\) | 8.71563 | + | 5.10798i | 0.407255 | + | 0.238680i | ||||
\(459\) | −3.33782 | − | 5.78127i | −0.155796 | − | 0.269846i | ||||
\(460\) | 47.2988 | + | 0.616465i | 2.20532 | + | 0.0287428i | ||||
\(461\) | 17.3150 | 0.806442 | 0.403221 | − | 0.915103i | \(-0.367891\pi\) | ||||
0.403221 | + | 0.915103i | \(0.367891\pi\) | |||||||
\(462\) | −16.9517 | + | 28.9243i | −0.788665 | + | 1.34568i | ||||
\(463\) | 11.7013 | + | 20.2672i | 0.543803 | + | 0.941895i | 0.998681 | + | 0.0513411i | \(0.0163496\pi\) |
−0.454878 | + | 0.890554i | \(0.650317\pi\) | |||||||
\(464\) | 21.2393 | + | 0.553736i | 0.986011 | + | 0.0257065i | ||||
\(465\) | 2.19160 | + | 1.26532i | 0.101633 | + | 0.0586779i | ||||
\(466\) | 0.132247 | − | 20.2944i | 0.00612621 | − | 0.940118i | ||||
\(467\) | −6.20091 | + | 3.58010i | −0.286944 | + | 0.165667i | −0.636563 | − | 0.771225i | \(-0.719644\pi\) |
0.349619 | + | 0.936892i | \(0.386311\pi\) | |||||||
\(468\) | 0.0391266 | − | 3.00202i | 0.00180863 | − | 0.138768i | ||||
\(469\) | 34.4893 | − | 18.8572i | 1.59257 | − | 0.870746i | ||||
\(470\) | 21.6419 | + | 0.141028i | 0.998264 | + | 0.00650512i | ||||
\(471\) | 2.56044 | + | 4.43481i | 0.117979 | + | 0.204345i | ||||
\(472\) | −0.301892 | + | 15.4408i | −0.0138957 | + | 0.710723i | ||||
\(473\) | −23.0854 | + | 39.9850i | −1.06147 | + | 1.83851i | ||||
\(474\) | 3.78388 | + | 0.0246574i | 0.173800 | + | 0.00113255i | ||||
\(475\) | −18.8668 | + | 10.8927i | −0.865666 | + | 0.499792i | ||||
\(476\) | 32.7787 | − | 55.1033i | 1.50241 | − | 2.52565i | ||||
\(477\) | − | 5.57183i | − | 0.255116i | ||||||
\(478\) | −38.3057 | − | 0.249616i | −1.75206 | − | 0.0114172i | ||||
\(479\) | −37.3905 | + | 21.5874i | −1.70841 | + | 0.986353i | −0.771886 | + | 0.635760i | \(0.780687\pi\) |
−0.936528 | + | 0.350593i | \(0.885980\pi\) | |||||||
\(480\) | 15.3083 | + | 9.51630i | 0.698727 | + | 0.434358i | ||||
\(481\) | 1.83241 | + | 1.05794i | 0.0835507 | + | 0.0482380i | ||||
\(482\) | 9.70797 | + | 17.0706i | 0.442186 | + | 0.777546i | ||||
\(483\) | 35.6447i | 1.62189i | ||||||||
\(484\) | 26.7364 | + | 0.348467i | 1.21529 | + | 0.0158394i | ||||
\(485\) | 22.5328 | + | 39.0279i | 1.02316 | + | 1.77217i | ||||
\(486\) | 0.699111 | + | 1.22933i | 0.0317123 | + | 0.0557634i | ||||
\(487\) | −11.2102 | − | 19.4166i | −0.507981 | − | 0.879849i | −0.999957 | − | 0.00924016i | \(-0.997059\pi\) |
0.491976 | − | 0.870609i | \(-0.336275\pi\) | |||||||
\(488\) | 20.8602 | − | 11.5059i | 0.944297 | − | 0.520848i | ||||
\(489\) | −11.1484 | − | 6.43651i | −0.504147 | − | 0.291069i | ||||
\(490\) | −62.4429 | − | 36.5960i | −2.82088 | − | 1.65324i | ||||
\(491\) | 32.4354i | 1.46379i | 0.681417 | + | 0.731895i | \(0.261364\pi\) | ||||
−0.681417 | + | 0.731895i | \(0.738636\pi\) | |||||||
\(492\) | −9.20353 | + | 5.15492i | −0.414927 | + | 0.232402i | ||||
\(493\) | −35.4585 | −1.59697 | ||||||||
\(494\) | 8.97447 | + | 0.0584815i | 0.403780 | + | 0.00263121i | ||||
\(495\) | 13.6225 | + | 7.86494i | 0.612285 | + | 0.353503i | ||||
\(496\) | 3.17570 | + | 0.0827945i | 0.142593 | + | 0.00371758i | ||||
\(497\) | 24.4152 | − | 14.0961i | 1.09517 | − | 0.632298i | ||||
\(498\) | 3.75379 | + | 2.19999i | 0.168211 | + | 0.0985840i | ||||
\(499\) | 2.24126 | + | 3.88198i | 0.100333 | + | 0.173781i | 0.911822 | − | 0.410586i | \(-0.134676\pi\) |
−0.811489 | + | 0.584368i | \(0.801343\pi\) | |||||||
\(500\) | 0.839564 | + | 0.499423i | 0.0375464 | + | 0.0223349i | ||||
\(501\) | −0.417022 | − | 0.240768i | −0.0186312 | − | 0.0107567i | ||||
\(502\) | 3.30806 | − | 5.64447i | 0.147646 | − | 0.251925i | ||||
\(503\) | 16.9395 | − | 29.3401i | 0.755296 | − | 1.30821i | −0.189931 | − | 0.981798i | \(-0.560826\pi\) |
0.945227 | − | 0.326414i | \(-0.105840\pi\) | |||||||
\(504\) | −7.02000 | + | 11.6280i | −0.312696 | + | 0.517951i | ||||
\(505\) | −4.82557 | + | 8.35813i | −0.214735 | + | 0.371932i | ||||
\(506\) | 45.0446 | − | 25.6166i | 2.00248 | − | 1.13880i | ||||
\(507\) | 5.37329 | − | 9.30681i | 0.238636 | − | 0.413330i | ||||
\(508\) | 3.07413 | − | 1.72183i | 0.136393 | − | 0.0763938i | ||||
\(509\) | 7.35225 | 0.325883 | 0.162941 | − | 0.986636i | \(-0.447902\pi\) | ||||
0.162941 | + | 0.986636i | \(0.447902\pi\) | |||||||
\(510\) | −25.9535 | − | 15.2106i | −1.14924 | − | 0.673536i | ||||
\(511\) | −0.408460 | −0.0180692 | ||||||||
\(512\) | 22.5885 | + | 1.32627i | 0.998281 | + | 0.0586134i | ||||
\(513\) | −3.66111 | + | 2.11374i | −0.161642 | + | 0.0933240i | ||||
\(514\) | −41.0575 | − | 0.267548i | −1.81097 | − | 0.0118011i | ||||
\(515\) | 31.6141 | − | 54.7572i | 1.39308 | − | 2.41289i | ||||
\(516\) | −9.56320 | + | 16.0764i | −0.420996 | + | 0.707723i | ||||
\(517\) | 20.5323 | − | 11.8543i | 0.903010 | − | 0.521353i | ||||
\(518\) | −4.73215 | − | 8.32109i | −0.207919 | − | 0.365608i | ||||
\(519\) | −7.30608 | − | 12.6545i | −0.320701 | − | 0.555471i | ||||
\(520\) | −6.53423 | − | 11.8465i | −0.286545 | − | 0.519505i | ||||
\(521\) | − | 30.9702i | − | 1.35683i | −0.734678 | − | 0.678416i | \(-0.762667\pi\) | ||
0.734678 | − | 0.678416i | \(-0.237333\pi\) | |||||||
\(522\) | 7.51163 | + | 0.0489490i | 0.328775 | + | 0.00214244i | ||||
\(523\) | 25.8887 | − | 14.9468i | 1.13203 | − | 0.653580i | 0.187588 | − | 0.982248i | \(-0.439933\pi\) |
0.944445 | + | 0.328668i | \(0.106600\pi\) | |||||||
\(524\) | −32.4678 | − | 19.3138i | −1.41836 | − | 0.843726i | ||||
\(525\) | −12.3736 | + | 21.4317i | −0.540028 | + | 0.935356i | ||||
\(526\) | 22.4663 | − | 12.7764i | 0.979576 | − | 0.557079i | ||||
\(527\) | −5.30176 | −0.230948 | ||||||||
\(528\) | 19.7394 | + | 0.514631i | 0.859048 | + | 0.0223965i | ||||
\(529\) | 16.0472 | − | 27.7946i | 0.697705 | − | 1.20846i | ||||
\(530\) | −12.4122 | − | 21.8257i | −0.539149 | − | 0.948048i | ||||
\(531\) | 5.46021i | 0.236953i | ||||||||
\(532\) | −34.8953 | − | 20.7578i | −1.51290 | − | 0.899966i | ||||
\(533\) | 7.91764 | 0.342951 | ||||||||
\(534\) | −5.85202 | − | 10.2903i | −0.253242 | − | 0.445304i | ||||
\(535\) | −25.3914 | −1.09777 | ||||||||
\(536\) | −19.5363 | − | 12.4231i | −0.843840 | − | 0.536595i | ||||
\(537\) | −10.7114 | −0.462233 | ||||||||
\(538\) | 21.2865 | + | 37.4304i | 0.917725 | + | 1.61374i | ||||
\(539\) | −79.2870 | −3.41513 | ||||||||
\(540\) | 5.47705 | + | 3.25808i | 0.235695 | + | 0.140205i | ||||
\(541\) | − | 10.5943i | − | 0.455482i | −0.973722 | − | 0.227741i | \(-0.926866\pi\) | ||
0.973722 | − | 0.227741i | \(-0.0731340\pi\) | |||||||
\(542\) | 2.73120 | + | 4.80259i | 0.117315 | + | 0.206289i | ||||
\(543\) | −2.99527 | + | 5.18797i | −0.128540 | + | 0.222637i | ||||
\(544\) | −37.7430 | − | 1.23017i | −1.61822 | − | 0.0527430i | ||||
\(545\) | −0.165612 | −0.00709403 | ||||||||
\(546\) | 8.86196 | − | 5.03974i | 0.379257 | − | 0.215681i | ||||
\(547\) | −10.1419 | + | 17.5663i | −0.433638 | + | 0.751082i | −0.997183 | − | 0.0750025i | \(-0.976104\pi\) |
0.563546 | + | 0.826085i | \(0.309437\pi\) | |||||||
\(548\) | 6.94262 | + | 4.12988i | 0.296574 | + | 0.176420i | ||||
\(549\) | 7.29427 | − | 4.21135i | 0.311312 | − | 0.179736i | ||||
\(550\) | 35.9759 | + | 0.234435i | 1.53402 | + | 0.00999633i | ||||
\(551\) | 22.4549i | 0.956609i | ||||||||
\(552\) | 18.3832 | − | 10.1397i | 0.782441 | − | 0.431573i | ||||
\(553\) | 6.42456 | + | 11.1277i | 0.273200 | + | 0.473197i | ||||
\(554\) | 6.90125 | + | 12.1352i | 0.293206 | + | 0.515577i | ||||
\(555\) | −3.88960 | + | 2.24566i | −0.165104 | + | 0.0953230i | ||||
\(556\) | −12.0936 | + | 20.3302i | −0.512884 | + | 0.862193i | ||||
\(557\) | 18.4798 | − | 32.0080i | 0.783015 | − | 1.35622i | −0.147162 | − | 0.989112i | \(-0.547014\pi\) |
0.930177 | − | 0.367110i | \(-0.119653\pi\) | |||||||
\(558\) | 1.12314 | + | 0.00731885i | 0.0475462 | + | 0.000309832i | ||||
\(559\) | 12.1590 | − | 7.01998i | 0.514269 | − | 0.296913i | ||||
\(560\) | −1.59522 | + | 61.1868i | −0.0674101 | + | 2.58561i | ||||
\(561\) | −32.9545 | −1.39134 | ||||||||
\(562\) | 12.7112 | + | 7.44965i | 0.536188 | + | 0.314245i | ||||
\(563\) | −18.3197 | −0.772084 | −0.386042 | − | 0.922481i | \(-0.626158\pi\) | ||||
−0.386042 | + | 0.922481i | \(0.626158\pi\) | |||||||
\(564\) | 8.38040 | − | 4.69388i | 0.352879 | − | 0.197648i | ||||
\(565\) | −7.84234 | + | 13.5833i | −0.329930 | + | 0.571455i | ||||
\(566\) | 25.7047 | − | 14.6181i | 1.08045 | − | 0.614446i | ||||
\(567\) | −2.40111 | + | 4.15884i | −0.100837 | + | 0.174655i | ||||
\(568\) | −14.2151 | − | 8.58191i | −0.596453 | − | 0.360089i | ||||
\(569\) | −23.0582 | + | 39.9380i | −0.966651 | + | 1.67429i | −0.261540 | + | 0.965193i | \(0.584230\pi\) |
−0.705111 | + | 0.709097i | \(0.749103\pi\) | |||||||
\(570\) | −9.63242 | + | 16.4356i | −0.403458 | + | 0.688410i | ||||
\(571\) | 27.5973 | + | 15.9333i | 1.15491 | + | 0.666789i | 0.950080 | − | 0.312008i | \(-0.101001\pi\) |
0.204833 | + | 0.978797i | \(0.434335\pi\) | |||||||
\(572\) | −12.7376 | − | 7.57706i | −0.532584 | − | 0.316813i | ||||
\(573\) | −9.06987 | − | 15.7095i | −0.378899 | − | 0.656273i | ||||
\(574\) | −30.9041 | − | 18.1120i | −1.28991 | − | 0.755981i | ||||
\(575\) | 33.1260 | − | 19.1253i | 1.38145 | − | 0.797580i | ||||
\(576\) | 7.99389 | + | 0.312704i | 0.333079 | + | 0.0130294i | ||||
\(577\) | −19.9183 | − | 11.4999i | −0.829212 | − | 0.478746i | 0.0243710 | − | 0.999703i | \(-0.492242\pi\) |
−0.853583 | + | 0.520957i | \(0.825575\pi\) | |||||||
\(578\) | 38.9806 | + | 0.254015i | 1.62138 | + | 0.0105656i | ||||
\(579\) | 8.74131 | 0.363277 | ||||||||
\(580\) | 29.5332 | − | 16.5416i | 1.22630 | − | 0.686854i | ||||
\(581\) | 14.7745i | 0.612949i | ||||||||
\(582\) | 17.2560 | + | 10.1133i | 0.715286 | + | 0.419209i | ||||
\(583\) | −23.8205 | − | 13.7528i | −0.986543 | − | 0.569581i | ||||
\(584\) | 0.116193 | + | 0.210657i | 0.00480808 | + | 0.00871705i | ||||
\(585\) | −2.39163 | − | 4.14243i | −0.0988817 | − | 0.171268i | ||||
\(586\) | 7.79561 | + | 13.7079i | 0.322034 | + | 0.566269i | ||||
\(587\) | 16.8758 | + | 29.2297i | 0.696537 | + | 1.20644i | 0.969660 | + | 0.244459i | \(0.0786103\pi\) |
−0.273122 | + | 0.961979i | \(0.588056\pi\) | |||||||
\(588\) | −32.1198 | − | 0.418631i | −1.32460 | − | 0.0172640i | ||||
\(589\) | 3.35745i | 0.138341i | ||||||||
\(590\) | 12.1635 | + | 21.3885i | 0.500763 | + | 0.880550i | ||||
\(591\) | −11.9922 | − | 6.92368i | −0.493292 | − | 0.284802i | ||||
\(592\) | −2.94534 | + | 4.80759i | −0.121053 | + | 0.197591i | ||||
\(593\) | −20.8005 | + | 12.0092i | −0.854173 | + | 0.493157i | −0.862057 | − | 0.506812i | \(-0.830824\pi\) |
0.00788396 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(594\) | 6.98116 | + | 0.0454922i | 0.286441 | + | 0.00186657i | ||||
\(595\) | − | 102.150i | − | 4.18773i | ||||||
\(596\) | −7.10229 | + | 11.9394i | −0.290921 | + | 0.489058i | ||||
\(597\) | 11.8573 | − | 6.84583i | 0.485288 | − | 0.280181i | ||||
\(598\) | −15.7572 | − | 0.102681i | −0.644362 | − | 0.00419894i | ||||
\(599\) | 3.69632 | − | 6.40221i | 0.151027 | − | 0.261587i | −0.780578 | − | 0.625058i | \(-0.785075\pi\) |
0.931605 | + | 0.363471i | \(0.118408\pi\) | |||||||
\(600\) | 14.5729 | + | 0.284922i | 0.594937 | + | 0.0116319i | ||||
\(601\) | 19.5092 | + | 33.7909i | 0.795796 | + | 1.37836i | 0.922332 | + | 0.386397i | \(0.126281\pi\) |
−0.126536 | + | 0.991962i | \(0.540386\pi\) | |||||||
\(602\) | −63.5174 | − | 0.413906i | −2.58877 | − | 0.0168696i | ||||
\(603\) | −6.99166 | − | 4.25637i | −0.284723 | − | 0.173333i | ||||
\(604\) | 0.273139 | − | 20.9568i | 0.0111139 | − | 0.852721i | ||||
\(605\) | 36.8930 | − | 21.3002i | 1.49992 | − | 0.865976i | ||||
\(606\) | −0.0279120 | + | 4.28332i | −0.00113385 | + | 0.173998i | ||||
\(607\) | −2.61353 | − | 1.50892i | −0.106080 | − | 0.0612453i | 0.446021 | − | 0.895022i | \(-0.352841\pi\) |
−0.552101 | + | 0.833777i | \(0.686174\pi\) | |||||||
\(608\) | −0.779029 | + | 23.9016i | −0.0315938 | + | 0.969337i | ||||
\(609\) | 12.7538 | + | 22.0902i | 0.516811 | + | 0.895142i | ||||
\(610\) | 19.1913 | − | 32.7457i | 0.777033 | − | 1.32583i | ||||
\(611\) | −7.20951 | −0.291666 | ||||||||
\(612\) | −13.3501 | − | 0.173998i | −0.539647 | − | 0.00703344i | ||||
\(613\) | −19.5653 | − | 33.8881i | −0.790235 | − | 1.36873i | −0.925821 | − | 0.377962i | \(-0.876625\pi\) |
0.135585 | − | 0.990766i | \(-0.456708\pi\) | |||||||
\(614\) | −27.2328 | − | 15.9603i | −1.09902 | − | 0.644107i | ||||
\(615\) | −8.40327 | + | 14.5549i | −0.338853 | + | 0.586910i | ||||
\(616\) | 32.3843 | + | 58.7126i | 1.30480 | + | 2.36560i | ||||
\(617\) | 19.4393 | 0.782597 | 0.391298 | − | 0.920264i | \(-0.372026\pi\) | ||||
0.391298 | + | 0.920264i | \(0.372026\pi\) | |||||||
\(618\) | 0.182862 | − | 28.0616i | 0.00735577 | − | 1.12880i | ||||
\(619\) | 28.2648 | − | 16.3187i | 1.13606 | − | 0.655904i | 0.190607 | − | 0.981666i | \(-0.438954\pi\) |
0.945452 | + | 0.325763i | \(0.105621\pi\) | |||||||
\(620\) | 4.41581 | − | 2.47330i | 0.177343 | − | 0.0993303i | ||||
\(621\) | 6.42813 | − | 3.71128i | 0.257952 | − | 0.148929i | ||||
\(622\) | −18.7731 | − | 33.0109i | −0.752733 | − | 1.32362i | ||||
\(623\) | 20.0988 | − | 34.8122i | 0.805243 | − | 1.39472i | ||||
\(624\) | −5.12008 | − | 3.13678i | −0.204967 | − | 0.125572i | ||||
\(625\) | −24.2101 | −0.968403 | ||||||||
\(626\) | 32.2746 | − | 18.3544i | 1.28995 | − | 0.733589i | ||||
\(627\) | 20.8691i | 0.833432i | ||||||||
\(628\) | 10.2409 | + | 0.133474i | 0.408656 | + | 0.00532617i | ||||
\(629\) | 4.70472 | − | 8.14881i | 0.187589 | − | 0.324914i | ||||
\(630\) | −0.141013 | + | 21.6397i | −0.00561811 | + | 0.862145i | ||||
\(631\) | 16.2202 | + | 28.0942i | 0.645715 | + | 1.11841i | 0.984136 | + | 0.177416i | \(0.0567738\pi\) |
−0.338421 | + | 0.940995i | \(0.609893\pi\) | |||||||
\(632\) | 3.91136 | − | 6.47880i | 0.155585 | − | 0.257713i | ||||
\(633\) | 7.13792 | − | 4.12108i | 0.283707 | − | 0.163798i | ||||
\(634\) | 18.1193 | − | 30.9165i | 0.719608 | − | 1.22785i | ||||
\(635\) | 2.80683 | − | 4.86158i | 0.111386 | − | 0.192926i | ||||
\(636\) | −9.57726 | − | 5.69713i | −0.379763 | − | 0.225906i | ||||
\(637\) | 20.8800 | + | 12.0551i | 0.827297 | + | 0.477640i | ||||
\(638\) | 18.7500 | − | 31.9926i | 0.742318 | − | 1.26660i | ||||
\(639\) | −5.08416 | − | 2.93534i | −0.201126 | − | 0.116120i | ||||
\(640\) | 32.0099 | − | 16.5828i | 1.26530 | − | 0.655492i | ||||
\(641\) | −5.91470 | − | 3.41485i | −0.233617 | − | 0.134879i | 0.378623 | − | 0.925551i | \(-0.376398\pi\) |
−0.612239 | + | 0.790672i | \(0.709731\pi\) | |||||||
\(642\) | −9.79603 | + | 5.57095i | −0.386619 | + | 0.219868i | ||||
\(643\) | − | 3.68576i | − | 0.145352i | −0.997356 | − | 0.0726762i | \(-0.976846\pi\) | ||
0.997356 | − | 0.0726762i | \(-0.0231540\pi\) | |||||||
\(644\) | 61.2687 | + | 36.4463i | 2.41433 | + | 1.43619i | ||||
\(645\) | 29.8022i | 1.17346i | ||||||||
\(646\) | 0.260070 | − | 39.9099i | 0.0102323 | − | 1.57023i | ||||
\(647\) | 4.18194 | + | 7.24333i | 0.164409 | + | 0.284765i | 0.936445 | − | 0.350814i | \(-0.114095\pi\) |
−0.772036 | + | 0.635579i | \(0.780762\pi\) | |||||||
\(648\) | 2.82789 | + | 0.0552894i | 0.111090 | + | 0.00217197i | ||||
\(649\) | 23.3433 | + | 13.4772i | 0.916304 | + | 0.529028i | ||||
\(650\) | −9.43853 | − | 5.53166i | −0.370210 | − | 0.216969i | ||||
\(651\) | 1.90695 | + | 3.30293i | 0.0747392 | + | 0.129452i | ||||
\(652\) | −22.4626 | + | 12.5814i | −0.879704 | + | 0.492724i | ||||
\(653\) | 5.12267 | − | 2.95758i | 0.200466 | − | 0.115739i | −0.396407 | − | 0.918075i | \(-0.629743\pi\) |
0.596873 | + | 0.802336i | \(0.296410\pi\) | |||||||
\(654\) | −0.0638933 | + | 0.0363357i | −0.00249842 | + | 0.00142084i | ||||
\(655\) | −60.1884 | −2.35175 | ||||||||
\(656\) | −0.549857 | + | 21.0905i | −0.0214683 | + | 0.823447i | ||||
\(657\) | 0.0425283 | + | 0.0736612i | 0.00165919 | + | 0.00287380i | ||||
\(658\) | 28.1401 | + | 16.4921i | 1.09702 | + | 0.642931i | ||||
\(659\) | −18.4498 | − | 10.6520i | −0.718703 | − | 0.414943i | 0.0955720 | − | 0.995423i | \(-0.469532\pi\) |
−0.814275 | + | 0.580479i | \(0.802865\pi\) | |||||||
\(660\) | 27.4476 | − | 15.3735i | 1.06840 | − | 0.598412i | ||||
\(661\) | 37.3045i | 1.45098i | 0.688235 | + | 0.725488i | \(0.258386\pi\) | ||||
−0.688235 | + | 0.725488i | \(0.741614\pi\) | |||||||
\(662\) | −31.8718 | − | 0.207690i | −1.23873 | − | 0.00807211i | ||||
\(663\) | 8.67848 | + | 5.01052i | 0.337044 | + | 0.194593i | ||||
\(664\) | 7.61971 | − | 4.20282i | 0.295702 | − | 0.163101i | ||||
\(665\) | −64.6885 | −2.50851 | ||||||||
\(666\) | −1.00791 | + | 1.71977i | −0.0390557 | + | 0.0666397i | ||||
\(667\) | − | 39.4260i | − | 1.52658i | ||||||
\(668\) | −0.840249 | + | 0.470625i | −0.0325102 | + | 0.0182090i | ||||
\(669\) | − | 11.7095i | − | 0.452716i | ||||||
\(670\) | −36.8692 | − | 1.09777i | −1.42438 | − | 0.0424105i | ||||
\(671\) | − | 41.5789i | − | 1.60514i | ||||||
\(672\) | 12.8091 | + | 23.9559i | 0.494123 | + | 0.924120i | ||||
\(673\) | − | 33.7802i | − | 1.30213i | −0.759022 | − | 0.651065i | \(-0.774323\pi\) | ||
0.759022 | − | 0.651065i | \(-0.225677\pi\) | |||||||
\(674\) | −27.2104 | − | 15.9472i | −1.04811 | − | 0.614265i | ||||
\(675\) | 5.15329 | 0.198350 | ||||||||
\(676\) | −10.5031 | − | 18.7521i | −0.403965 | − | 0.721235i | ||||
\(677\) | 24.8322 | + | 14.3369i | 0.954379 | + | 0.551011i | 0.894438 | − | 0.447191i | \(-0.147576\pi\) |
0.0599404 | + | 0.998202i | \(0.480909\pi\) | |||||||
\(678\) | −0.0453615 | + | 6.96110i | −0.00174210 | + | 0.267340i | ||||
\(679\) | 67.9178i | 2.60644i | ||||||||
\(680\) | −52.6821 | + | 29.0580i | −2.02027 | + | 1.11432i | ||||
\(681\) | 21.4107 | + | 12.3615i | 0.820461 | + | 0.473694i | ||||
\(682\) | 2.80349 | − | 4.78353i | 0.107351 | − | 0.183171i | ||||
\(683\) | −3.11899 | − | 5.40225i | −0.119345 | − | 0.206711i | 0.800163 | − | 0.599782i | \(-0.204746\pi\) |
−0.919508 | + | 0.393071i | \(0.871413\pi\) | |||||||
\(684\) | −0.110188 | + | 8.45425i | −0.00421313 | + | 0.323256i | ||||
\(685\) | 12.8701 | 0.491743 | ||||||||
\(686\) | −30.4213 | − | 53.4932i | −1.16149 | − | 2.04238i | ||||
\(687\) | 6.18629 | − | 3.57165i | 0.236022 | − | 0.136267i | ||||
\(688\) | 17.8550 | + | 32.8758i | 0.680715 | + | 1.25338i | ||||
\(689\) | 4.18204 | + | 7.24351i | 0.159323 | + | 0.275956i | ||||
\(690\) | 16.9125 | − | 28.8574i | 0.643847 | − | 1.09858i | ||||
\(691\) | −5.45141 | − | 3.14737i | −0.207381 | − | 0.119732i | 0.392712 | − | 0.919661i | \(-0.371537\pi\) |
−0.600094 | + | 0.799930i | \(0.704870\pi\) | |||||||
\(692\) | −29.2218 | − | 0.380860i | −1.11085 | − | 0.0144781i | ||||
\(693\) | 11.8531 | + | 20.5303i | 0.450264 | + | 0.779880i | ||||
\(694\) | 39.3363 | + | 0.256332i | 1.49318 | + | 0.00973023i | ||||
\(695\) | 37.6879i | 1.42958i | ||||||||
\(696\) | 7.76468 | − | 12.8615i | 0.294320 | − | 0.487513i | ||||
\(697\) | − | 35.2101i | − | 1.33368i | ||||||
\(698\) | −6.07083 | − | 10.6750i | −0.229784 | − | 0.404056i | ||||
\(699\) | −12.4280 | − | 7.17529i | −0.470069 | − | 0.271394i | ||||
\(700\) | 24.1865 | + | 43.1823i | 0.914163 | + | 1.63214i | ||||
\(701\) | −10.0058 | − | 5.77683i | −0.377912 | − | 0.218188i | 0.298997 | − | 0.954254i | \(-0.403348\pi\) |
−0.676910 | + | 0.736066i | \(0.736681\pi\) | |||||||
\(702\) | −1.83156 | − | 1.07342i | −0.0691276 | − | 0.0405137i | ||||
\(703\) | −5.16041 | − | 2.97936i | −0.194628 | − | 0.112369i | ||||
\(704\) | 21.0679 | − | 33.4033i | 0.794026 | − | 1.25894i | ||||
\(705\) | 7.65171 | − | 13.2532i | 0.288180 | − | 0.499143i | ||||
\(706\) | 29.4989 | + | 17.2885i | 1.11021 | + | 0.650661i | ||||
\(707\) | −12.5964 | + | 7.27255i | −0.473737 | + | 0.273512i | ||||
\(708\) | 9.38540 | + | 5.58300i | 0.352725 | + | 0.209822i | ||||
\(709\) | −12.5632 | − | 21.7600i | −0.471819 | − | 0.817215i | 0.527661 | − | 0.849455i | \(-0.323069\pi\) |
−0.999480 | + | 0.0322401i | \(0.989736\pi\) | |||||||
\(710\) | −26.4544 | − | 0.172388i | −0.992815 | − | 0.00646961i | ||||
\(711\) | 1.33783 | − | 2.31720i | 0.0501727 | − | 0.0869016i | ||||
\(712\) | −23.6713 | − | 0.462809i | −0.887118 | − | 0.0173445i | ||||
\(713\) | − | 5.89497i | − | 0.220768i | ||||||
\(714\) | −22.4120 | − | 39.4095i | −0.838747 | − | 1.47486i | ||||
\(715\) | −23.6127 | −0.883066 | ||||||||
\(716\) | −10.9523 | + | 18.4116i | −0.409307 | + | 0.688073i | ||||
\(717\) | −13.5434 | + | 23.4579i | −0.505788 | + | 0.876050i | ||||
\(718\) | −10.0275 | + | 5.70259i | −0.374223 | + | 0.212819i | ||||
\(719\) | 24.3827 | − | 14.0774i | 0.909321 | − | 0.524997i | 0.0291085 | − | 0.999576i | \(-0.490733\pi\) |
0.880213 | + | 0.474579i | \(0.157400\pi\) | |||||||
\(720\) | 11.2004 | − | 6.08300i | 0.417415 | − | 0.226700i | ||||
\(721\) | 82.5238 | − | 47.6451i | 3.07335 | − | 1.77440i | ||||
\(722\) | 1.59572 | + | 0.0103984i | 0.0593864 | + | 0.000386987i | ||||
\(723\) | 13.8862 | 0.516432 | ||||||||
\(724\) | 5.85482 | + | 10.4531i | 0.217593 | + | 0.388487i | ||||
\(725\) | 13.6862 | − | 23.7052i | 0.508292 | − | 0.880388i | ||||
\(726\) | 9.56006 | − | 16.3121i | 0.354807 | − | 0.605399i | ||||
\(727\) | 4.93939 | + | 8.55527i | 0.183192 | + | 0.317297i | 0.942966 | − | 0.332890i | \(-0.108024\pi\) |
−0.759774 | + | 0.650187i | \(0.774690\pi\) | |||||||
\(728\) | 0.398570 | − | 20.3856i | 0.0147720 | − | 0.755542i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0.330682 | + | 0.193804i | 0.0122391 | + | 0.00717299i | ||||
\(731\) | −31.2182 | − | 54.0714i | −1.15465 | − | 1.99990i | ||||
\(732\) | 0.219534 | − | 16.8440i | 0.00811422 | − | 0.622571i | ||||
\(733\) | 33.5042 | + | 19.3437i | 1.23751 | + | 0.714475i | 0.968584 | − | 0.248686i | \(-0.0799989\pi\) |
0.268923 | + | 0.963162i | \(0.413332\pi\) | |||||||
\(734\) | 16.3082 | + | 0.106271i | 0.601947 | + | 0.00392254i | ||||
\(735\) | −44.3215 | + | 25.5890i | −1.63482 | + | 0.943865i | ||||
\(736\) | 1.36781 | − | 41.9661i | 0.0504181 | − | 1.54689i | ||||
\(737\) | −35.4539 | + | 19.3847i | −1.30596 | + | 0.714043i | ||||
\(738\) | −0.0486061 | + | 7.45901i | −0.00178921 | + | 0.274570i | ||||
\(739\) | −10.1018 | − | 17.4968i | −0.371601 | − | 0.643631i | 0.618211 | − | 0.786012i | \(-0.287858\pi\) |
−0.989812 | + | 0.142381i | \(0.954524\pi\) | |||||||
\(740\) | −0.117065 | + | 8.98189i | −0.00430338 | + | 0.330181i | ||||
\(741\) | 3.17302 | − | 5.49583i | 0.116564 | − | 0.201894i | ||||
\(742\) | 0.246578 | − | 37.8395i | 0.00905217 | − | 1.38913i | ||||
\(743\) | 8.52995 | − | 4.92477i | 0.312934 | − | 0.180672i | −0.335305 | − | 0.942110i | \(-0.608839\pi\) |
0.648238 | + | 0.761437i | \(0.275506\pi\) | |||||||
\(744\) | 1.16098 | − | 1.92305i | 0.0425634 | − | 0.0705023i | ||||
\(745\) | 22.1332i | 0.810896i | ||||||||
\(746\) | −0.0576357 | + | 8.84468i | −0.00211019 | + | 0.323827i | ||||
\(747\) | 2.66441 | − | 1.53830i | 0.0974858 | − | 0.0562834i | ||||
\(748\) | −33.6955 | + | 56.6445i | −1.23203 | + | 2.07113i | ||||
\(749\) | −33.1402 | − | 19.1335i | −1.21092 | − | 0.699123i | ||||
\(750\) | 0.600451 | − | 0.341473i | 0.0219254 | − | 0.0124688i | ||||
\(751\) | − | 36.0756i | − | 1.31642i | −0.752836 | − | 0.658208i | \(-0.771315\pi\) | ||
0.752836 | − | 0.658208i | \(-0.228685\pi\) | |||||||
\(752\) | 0.500679 | − | 19.2043i | 0.0182579 | − | 0.700308i | ||||
\(753\) | −2.31310 | − | 4.00640i | −0.0842939 | − | 0.146001i | ||||
\(754\) | −9.80204 | + | 5.57436i | −0.356969 | + | 0.203006i | ||||
\(755\) | −16.6957 | − | 28.9179i | −0.607620 | − | 1.05243i | ||||
\(756\) | 4.69341 | + | 8.37956i | 0.170698 | + | 0.304762i | ||||
\(757\) | −12.3267 | − | 7.11683i | −0.448022 | − | 0.258666i | 0.258973 | − | 0.965885i | \(-0.416616\pi\) |
−0.706994 | + | 0.707219i | \(0.749949\pi\) | |||||||
\(758\) | 11.0049 | − | 18.7774i | 0.399715 | − | 0.682025i | ||||
\(759\) | − | 36.6417i | − | 1.33001i | ||||||
\(760\) | 18.4016 | + | 33.3621i | 0.667496 | + | 1.21017i | ||||
\(761\) | 15.2175 | 0.551632 | 0.275816 | − | 0.961210i | \(-0.411052\pi\) | ||||
0.275816 | + | 0.961210i | \(0.411052\pi\) | |||||||
\(762\) | 0.0162352 | − | 2.49143i | 0.000588141 | − | 0.0902551i | ||||
\(763\) | −0.216152 | − | 0.124796i | −0.00782524 | − | 0.00451791i | ||||
\(764\) | −36.2764 | − | 0.472805i | −1.31243 | − | 0.0171055i | ||||
\(765\) | −18.4216 | + | 10.6357i | −0.666033 | + | 0.384534i | ||||
\(766\) | 13.8473 | − | 23.6274i | 0.500324 | − | 0.853692i | ||||
\(767\) | −4.09826 | − | 7.09840i | −0.147980 | − | 0.256308i | ||||
\(768\) | 8.71115 | − | 13.4207i | 0.314337 | − | 0.484279i | ||||
\(769\) | 13.6822 | + | 7.89944i | 0.493394 | + | 0.284861i | 0.725981 | − | 0.687714i | \(-0.241386\pi\) |
−0.232587 | + | 0.972576i | \(0.574719\pi\) | |||||||
\(770\) | 92.1651 | + | 54.0153i | 3.32140 | + | 1.94658i | ||||
\(771\) | −14.5163 | + | 25.1430i | −0.522793 | + | 0.905504i | ||||
\(772\) | 8.93788 | − | 15.0252i | 0.321682 | − | 0.540769i | ||||
\(773\) | −1.87010 | + | 3.23911i | −0.0672628 | + | 0.116503i | −0.897696 | − | 0.440616i | \(-0.854760\pi\) |
0.830433 | + | 0.557119i | \(0.188093\pi\) | |||||||
\(774\) | 6.53870 | + | 11.4977i | 0.235029 | + | 0.413277i | ||||
\(775\) | 2.04636 | − | 3.54440i | 0.0735074 | − | 0.127319i | ||||
\(776\) | 35.0275 | − | 19.3202i | 1.25741 | − | 0.693555i | ||||
\(777\) | −6.76882 | −0.242830 | ||||||||
\(778\) | 0.719424 | − | 1.22754i | 0.0257926 | − | 0.0440093i | ||||
\(779\) | −22.2976 | −0.798893 | ||||||||
\(780\) | −9.56571 | − | 0.124674i | −0.342507 | − | 0.00446404i | ||||
\(781\) | −25.0981 | + | 14.4904i | −0.898081 | + | 0.518507i | ||||
\(782\) | −0.456627 | + | 70.0732i | −0.0163290 | + | 2.50581i | ||||
\(783\) | 2.65582 | − | 4.60001i | 0.0949112 | − | 0.164391i | ||||
\(784\) | −33.5617 | + | 54.7818i | −1.19863 | + | 1.95649i | ||||
\(785\) | 14.1312 | − | 8.15863i | 0.504363 | − | 0.291194i | ||||
\(786\) | −23.2208 | + | 13.2055i | −0.828257 | + | 0.471025i | ||||
\(787\) | 1.52221 | + | 2.63655i | 0.0542610 | + | 0.0939828i | 0.891880 | − | 0.452272i | \(-0.149386\pi\) |
−0.837619 | + | 0.546255i | \(0.816053\pi\) | |||||||
\(788\) | −24.1628 | + | 13.5336i | −0.860763 | + | 0.482115i | ||||
\(789\) | − | 18.2753i | − | 0.650616i | ||||||
\(790\) | 0.0785689 | − | 12.0571i | 0.00279536 | − | 0.428971i | ||||
\(791\) | −20.4713 | + | 11.8191i | −0.727874 | + | 0.420238i | ||||
\(792\) | 7.21635 | − | 11.9532i | 0.256422 | − | 0.424739i | ||||
\(793\) | −6.32181 | + | 10.9497i | −0.224494 | + | 0.388835i | ||||
\(794\) | 19.0778 | + | 33.5467i | 0.677047 | + | 1.19053i | ||||
\(795\) | −17.7542 | −0.629676 | ||||||||
\(796\) | 0.356868 | − | 27.3810i | 0.0126488 | − | 0.970494i | ||||
\(797\) | −19.3216 | + | 33.4659i | −0.684405 | + | 1.18542i | 0.289218 | + | 0.957263i | \(0.406605\pi\) |
−0.973623 | + | 0.228161i | \(0.926729\pi\) | |||||||
\(798\) | −24.9569 | + | 14.1929i | −0.883466 | + | 0.502422i | ||||
\(799\) | 32.0610i | 1.13424i | ||||||||
\(800\) | 15.3904 | − | 24.7576i | 0.544132 | − | 0.875315i | ||||
\(801\) | −8.37066 | −0.295763 | ||||||||
\(802\) | 14.0289 | − | 7.97816i | 0.495378 | − | 0.281719i | ||||
\(803\) | 0.419885 | 0.0148174 | ||||||||
\(804\) | −14.4650 | + | 7.66569i | −0.510142 | + | 0.270348i | ||||
\(805\) | 113.579 | 4.00314 | ||||||||
\(806\) | −1.46560 | + | 0.833478i | −0.0516235 | + | 0.0293580i | ||||
\(807\) | 30.4479 | 1.07182 | ||||||||
\(808\) | 7.33394 | + | 4.42762i | 0.258007 | + | 0.155763i | ||||
\(809\) | − | 17.1937i | − | 0.604498i | −0.953229 | − | 0.302249i | \(-0.902263\pi\) | ||
0.953229 | − | 0.302249i | \(-0.0977374\pi\) | |||||||
\(810\) | 3.91715 | − | 2.22766i | 0.137635 | − | 0.0782721i | ||||
\(811\) | 5.69070 | − | 9.85658i | 0.199827 | − | 0.346111i | −0.748645 | − | 0.662971i | \(-0.769295\pi\) |
0.948472 | + | 0.316860i | \(0.102629\pi\) | |||||||
\(812\) | 51.0109 | + | 0.664846i | 1.79013 | + | 0.0233315i | ||||
\(813\) | 3.90668 | 0.137013 | ||||||||
\(814\) | 4.86451 | + | 8.55382i | 0.170501 | + | 0.299811i | ||||
\(815\) | −20.5094 | + | 35.5234i | −0.718415 | + | 1.24433i | ||||
\(816\) | −13.9494 | + | 22.7692i | −0.488327 | + | 0.797083i | ||||
\(817\) | −34.2419 | + | 19.7696i | −1.19797 | + | 0.691650i | ||||
\(818\) | −0.101897 | + | 15.6369i | −0.00356273 | + | 0.546730i | ||||
\(819\) | − | 7.20879i | − | 0.251896i | ||||||
\(820\) | 16.4258 | + | 29.3263i | 0.573612 | + | 1.02412i | ||||
\(821\) | 21.5853 | + | 37.3868i | 0.753331 | + | 1.30481i | 0.946200 | + | 0.323582i | \(0.104887\pi\) |
−0.192870 | + | 0.981224i | \(0.561779\pi\) | |||||||
\(822\) | 4.96532 | − | 2.82375i | 0.173185 | − | 0.0984895i | ||||
\(823\) | −21.4130 | + | 12.3628i | −0.746409 | + | 0.430940i | −0.824395 | − | 0.566015i | \(-0.808484\pi\) |
0.0779858 | + | 0.996954i | \(0.475151\pi\) | |||||||
\(824\) | −48.0473 | − | 29.0070i | −1.67381 | − | 1.01051i | ||||
\(825\) | 12.7197 | − | 22.0311i | 0.442843 | − | 0.767026i | ||||
\(826\) | −0.241639 | + | 37.0814i | −0.00840768 | + | 1.29023i | ||||
\(827\) | −12.1087 | + | 6.99099i | −0.421062 | + | 0.243100i | −0.695532 | − | 0.718495i | \(-0.744831\pi\) |
0.274469 | + | 0.961596i | \(0.411498\pi\) | |||||||
\(828\) | 0.193466 | − | 14.8439i | 0.00672341 | − | 0.515860i | ||||
\(829\) | 15.7065 | 0.545509 | 0.272754 | − | 0.962084i | \(-0.412065\pi\) | ||||
0.272754 | + | 0.962084i | \(0.412065\pi\) | |||||||
\(830\) | 7.01010 | − | 11.9612i | 0.243324 | − | 0.415178i | ||||
\(831\) | 9.87146 | 0.342437 | ||||||||
\(832\) | −10.6269 | + | 5.59344i | −0.368423 | + | 0.193918i | ||||
\(833\) | 53.6096 | − | 92.8545i | 1.85746 | − | 3.21722i | ||||
\(834\) | 8.26884 | + | 14.5400i | 0.286326 | + | 0.503480i | ||||
\(835\) | −0.767188 | + | 1.32881i | −0.0265496 | + | 0.0459853i | ||||
\(836\) | 35.8713 | + | 21.3384i | 1.24064 | + | 0.738005i | ||||
\(837\) | 0.397098 | − | 0.687793i | 0.0137257 | − | 0.0237736i | ||||
\(838\) | −36.7026 | − | 21.5104i | −1.26787 | − | 0.743064i | ||||
\(839\) | 37.5542 | + | 21.6819i | 1.29652 | + | 0.748544i | 0.979801 | − | 0.199977i | \(-0.0640868\pi\) |
0.316715 | + | 0.948521i | \(0.397420\pi\) | |||||||
\(840\) | 37.0516 | + | 22.3687i | 1.27840 | + | 0.771793i | ||||
\(841\) | 0.393261 | + | 0.681148i | 0.0135607 | + | 0.0234879i | ||||
\(842\) | 11.2277 | − | 19.1576i | 0.386933 | − | 0.660215i | ||||
\(843\) | 9.02229 | − | 5.20902i | 0.310744 | − | 0.179408i | ||||
\(844\) | 0.214829 | − | 16.4829i | 0.00739471 | − | 0.567366i | ||||
\(845\) | −29.6554 | − | 17.1216i | −1.02018 | − | 0.589000i | ||||
\(846\) | 0.0442589 | − | 6.79190i | 0.00152165 | − | 0.233510i | ||||
\(847\) | 64.2025 | 2.20602 | ||||||||
\(848\) | −19.5853 | + | 10.6368i | −0.672560 | + | 0.365270i | ||||
\(849\) | − | 20.9096i | − | 0.717615i | ||||||
\(850\) | −24.5995 | + | 41.9736i | −0.843757 | + | 1.43968i | ||||
\(851\) | 9.06057 | + | 5.23112i | 0.310592 | + | 0.179321i | ||||
\(852\) | −10.2440 | + | 5.73766i | −0.350952 | + | 0.196569i | ||||
\(853\) | −23.2354 | − | 40.2450i | −0.795566 | − | 1.37796i | −0.922479 | − | 0.386047i | \(-0.873840\pi\) |
0.126913 | − | 0.991914i | \(-0.459493\pi\) | |||||||
\(854\) | 49.7233 | − | 28.2774i | 1.70150 | − | 0.967631i | ||||
\(855\) | 6.73528 | + | 11.6658i | 0.230342 | + | 0.398963i | ||||
\(856\) | −0.440580 | + | 22.5343i | −0.0150587 | + | 0.770208i | ||||
\(857\) | − | 13.7589i | − | 0.469994i | −0.971996 | − | 0.234997i | \(-0.924492\pi\) | ||
0.971996 | − | 0.234997i | \(-0.0755081\pi\) | |||||||
\(858\) | −9.10982 | + | 5.18070i | −0.311004 | + | 0.176866i | ||||
\(859\) | −13.0102 | − | 7.51144i | −0.443902 | − | 0.256287i | 0.261349 | − | 0.965244i | \(-0.415833\pi\) |
−0.705252 | + | 0.708957i | \(0.749166\pi\) | |||||||
\(860\) | 51.2261 | + | 30.4724i | 1.74680 | + | 1.03910i | ||||
\(861\) | −21.9355 | + | 12.6645i | −0.747560 | + | 0.431604i | ||||
\(862\) | −0.105709 | + | 16.2219i | −0.00360045 | + | 0.552519i | ||||
\(863\) | − | 16.6502i | − | 0.566779i | −0.959005 | − | 0.283389i | \(-0.908541\pi\) | ||
0.959005 | − | 0.283389i | \(-0.0914589\pi\) | |||||||
\(864\) | 2.98651 | − | 4.80424i | 0.101603 | − | 0.163444i | ||||
\(865\) | −40.3226 | + | 23.2802i | −1.37101 | + | 0.791552i | ||||
\(866\) | −0.155509 | + | 23.8642i | −0.00528442 | + | 0.810939i | ||||
\(867\) | 13.7820 | − | 23.8712i | 0.468062 | − | 0.810708i | ||||
\(868\) | 7.62715 | + | 0.0994077i | 0.258882 | + | 0.00337412i | ||||
\(869\) | −6.60426 | − | 11.4389i | −0.224034 | − | 0.388038i | ||||
\(870\) | 0.155972 | − | 23.9352i | 0.00528795 | − | 0.811480i | ||||
\(871\) | 12.2840 | + | 0.285650i | 0.416228 | + | 0.00967888i | ||||
\(872\) | −0.00287362 | + | 0.146977i | −9.73132e−5 | + | 0.00497727i | ||||
\(873\) | 12.2482 | − | 7.07150i | 0.414539 | − | 0.239334i | ||||
\(874\) | 44.3754 | + | 0.289169i | 1.50102 | + | 0.00978128i | ||||
\(875\) | 2.03134 | + | 1.17279i | 0.0686718 | + | 0.0396477i | ||||
\(876\) | 0.170099 | + | 0.00221697i | 0.00574711 | + | 7.49044e-5i | ||||
\(877\) | 5.69696 | + | 9.86742i | 0.192373 | + | 0.333199i | 0.946036 | − | 0.324061i | \(-0.105048\pi\) |
−0.753663 | + | 0.657261i | \(0.771715\pi\) | |||||||
\(878\) | 7.92657 | + | 4.64554i | 0.267509 | + | 0.156779i | ||||
\(879\) | 11.1507 | 0.376105 | ||||||||
\(880\) | 1.63983 | − | 62.8981i | 0.0552788 | − | 2.12030i | ||||
\(881\) | 14.7105 | + | 25.4793i | 0.495609 | + | 0.858419i | 0.999987 | − | 0.00506324i | \(-0.00161169\pi\) |
−0.504378 | + | 0.863483i | \(0.668278\pi\) | |||||||
\(882\) | −11.4850 | + | 19.5965i | −0.386719 | + | 0.659850i | ||||
\(883\) | −12.9491 | + | 22.4285i | −0.435772 | + | 0.754780i | −0.997358 | − | 0.0726385i | \(-0.976858\pi\) |
0.561586 | + | 0.827418i | \(0.310191\pi\) | |||||||
\(884\) | 17.4861 | − | 9.79399i | 0.588121 | − | 0.329408i | ||||
\(885\) | 17.3985 | 0.584845 | ||||||||
\(886\) | −10.8758 | − | 0.0708715i | −0.365381 | − | 0.00238098i | ||||
\(887\) | 9.35385 | − | 5.40045i | 0.314072 | − | 0.181329i | −0.334675 | − | 0.942333i | \(-0.608627\pi\) |
0.648747 | + | 0.761004i | \(0.275293\pi\) | |||||||
\(888\) | 1.92549 | + | 3.49091i | 0.0646152 | + | 0.117147i | ||||
\(889\) | 7.32682 | − | 4.23014i | 0.245734 | − | 0.141874i | ||||
\(890\) | −32.7891 | + | 18.6470i | −1.09909 | + | 0.625049i | ||||
\(891\) | 2.46827 | − | 4.27516i | 0.0826900 | − | 0.143223i | ||||
\(892\) | −20.1271 | − | 11.9728i | −0.673906 | − | 0.400880i | ||||
\(893\) | 20.3033 | 0.679425 | ||||||||
\(894\) | 4.85608 | + | 8.53901i | 0.162412 | + | 0.285587i | ||||
\(895\) | 34.1312i | 1.14088i | ||||||||
\(896\) | 54.2744 | + | 2.47741i | 1.81318 | + | 0.0827644i | ||||
\(897\) | −5.57115 | + | 9.64951i | −0.186015 | + | 0.322188i | ||||
\(898\) | 25.2538 | + | 0.164565i | 0.842731 | + | 0.00549160i | ||||
\(899\) | −2.10924 | − | 3.65331i | −0.0703470 | − | 0.121845i | ||||
\(900\) | 5.26917 | − | 8.85784i | 0.175639 | − | 0.295261i | ||||
\(901\) | 32.2122 | − | 18.5977i | 1.07314 | − | 0.619580i | ||||
\(902\) | 31.7685 | + | 18.6186i | 1.05777 | + | 0.619932i | ||||
\(903\) | −22.4573 | + | 38.8971i | −0.747331 | + | 1.29441i | ||||
\(904\) | 11.9189 | + | 7.19561i | 0.396415 | + | 0.239323i | ||||
\(905\) | 16.5311 | + | 9.54421i | 0.549511 | + | 0.317260i | ||||
\(906\) | −12.7859 | − | 7.49346i | −0.424784 | − | 0.248954i | ||||
\(907\) | 2.93560 | + | 1.69487i | 0.0974750 | + | 0.0562772i | 0.547945 | − | 0.836514i | \(-0.315410\pi\) |
−0.450470 | + | 0.892792i | \(0.648744\pi\) | |||||||
\(908\) | 43.1400 | − | 24.1628i | 1.43165 | − | 0.801872i | ||||
\(909\) | 2.62304 | + | 1.51442i | 0.0870009 | + | 0.0502300i | ||||
\(910\) | −16.0588 | − | 28.2379i | −0.532342 | − | 0.936079i | ||||
\(911\) | 17.5477i | 0.581382i | 0.956817 | + | 0.290691i | \(0.0938851\pi\) | ||||
−0.956817 | + | 0.290691i | \(0.906115\pi\) | |||||||
\(912\) | 14.4191 | + | 8.83377i | 0.477464 | + | 0.292515i | ||||
\(913\) | − | 15.1877i | − | 0.502640i | ||||||
\(914\) | −32.8919 | − | 0.214338i | −1.08797 | − | 0.00708966i | ||||
\(915\) | −13.4191 | − | 23.2426i | −0.443623 | − | 0.768377i | ||||
\(916\) | 0.186188 | − | 14.2854i | 0.00615181 | − | 0.472003i | ||||
\(917\) | −78.5564 | − | 45.3545i | −2.59416 | − | 1.49774i | ||||
\(918\) | −4.77356 | + | 8.14501i | −0.157551 | + | 0.268825i | ||||
\(919\) | −15.8363 | − | 27.4293i | −0.522392 | − | 0.904810i | −0.999661 | − | 0.0260522i | \(-0.991706\pi\) |
0.477268 | − | 0.878758i | \(-0.341627\pi\) | |||||||
\(920\) | −32.3093 | − | 58.5767i | −1.06521 | − | 1.93122i | ||||
\(921\) | −19.3296 | + | 11.1599i | −0.636932 | + | 0.367733i | ||||
\(922\) | −12.1051 | − | 21.2858i | −0.398661 | − | 0.701012i | ||||
\(923\) | 8.81270 | 0.290074 | ||||||||
\(924\) | 47.4086 | + | 0.617895i | 1.55963 | + | 0.0203273i | ||||
\(925\) | 3.63183 | + | 6.29051i | 0.119414 | + | 0.206831i | ||||
\(926\) | 16.7345 | − | 28.5537i | 0.549929 | − | 0.938331i | ||||
\(927\) | −17.1845 | − | 9.92149i | −0.564414 | − | 0.325865i | ||||
\(928\) | −14.1679 | − | 26.4972i | −0.465085 | − | 0.869813i | ||||
\(929\) | − | 9.72747i | − | 0.319148i | −0.987186 | − | 0.159574i | \(-0.948988\pi\) | ||
0.987186 | − | 0.159574i | \(-0.0510121\pi\) | |||||||
\(930\) | 0.0233209 | − | 3.57879i | 0.000764724 | − | 0.117353i | ||||
\(931\) | −58.8021 | − | 33.9494i | −1.92716 | − | 1.11265i | ||||
\(932\) | −25.0408 | + | 14.0254i | −0.820240 | + | 0.459418i | ||||
\(933\) | −26.8528 | −0.879122 | ||||||||
\(934\) | 8.73624 | + | 5.12006i | 0.285858 | + | 0.167534i | ||||
\(935\) | 105.007i | 3.43409i | ||||||||
\(936\) | −3.71782 | + | 2.05065i | −0.121521 | + | 0.0670275i | ||||
\(937\) | 28.3754i | 0.926982i | 0.886102 | + | 0.463491i | \(0.153403\pi\) | ||||
−0.886102 | + | 0.463491i | \(0.846597\pi\) | |||||||
\(938\) | −47.2935 | − | 29.2153i | −1.54419 | − | 0.953913i | ||||
\(939\) | − | 26.2539i | − | 0.856764i | ||||||
\(940\) | −14.9567 | − | 26.7035i | −0.487833 | − | 0.870972i | ||||
\(941\) | − | 5.91463i | − | 0.192812i | −0.995342 | − | 0.0964058i | \(-0.969265\pi\) | ||
0.995342 | − | 0.0964058i | \(-0.0307346\pi\) | |||||||
\(942\) | 3.66180 | − | 6.24804i | 0.119308 | − | 0.203572i | ||||
\(943\) | 39.1498 | 1.27489 | ||||||||
\(944\) | 19.1929 | − | 10.4237i | 0.624676 | − | 0.339264i | ||||
\(945\) | 13.2518 | + | 7.65094i | 0.431082 | + | 0.248885i | ||||
\(946\) | 65.2939 | + | 0.425483i | 2.12289 | + | 0.0138336i | ||||
\(947\) | 45.8907i | 1.49125i | 0.666367 | + | 0.745624i | \(0.267848\pi\) | ||||
−0.666367 | + | 0.745624i | \(0.732152\pi\) | |||||||
\(948\) | −2.61504 | − | 4.66887i | −0.0849326 | − | 0.151638i | ||||
\(949\) | −0.110576 | − | 0.0638409i | −0.00358944 | − | 0.00207236i | ||||
\(950\) | 26.5807 | + | 15.5782i | 0.862391 | + | 0.505423i | ||||
\(951\) | −12.6695 | − | 21.9443i | −0.410838 | − | 0.711592i | ||||
\(952\) | −90.6559 | − | 1.77246i | −2.93817 | − | 0.0574457i | ||||
\(953\) | −7.14016 | −0.231293 | −0.115646 | − | 0.993290i | \(-0.536894\pi\) | ||||
−0.115646 | + | 0.993290i | \(0.536894\pi\) | |||||||
\(954\) | −6.84960 | + | 3.89533i | −0.221764 | + | 0.126116i | ||||
\(955\) | −50.0570 | + | 28.9004i | −1.61981 | + | 0.935196i | ||||
\(956\) | 26.4731 | + | 47.2647i | 0.856201 | + | 1.52865i | ||||
\(957\) | −13.1105 | − | 22.7081i | −0.423803 | − | 0.734049i | ||||
\(958\) | 52.6781 | + | 30.8731i | 1.70195 | + | 0.997465i | ||||
\(959\) | 16.7978 | + | 9.69821i | 0.542429 | + | 0.313171i | ||||
\(960\) | 0.996408 | − | 25.4719i | 0.0321589 | − | 0.822102i | ||||
\(961\) | 15.1846 | + | 26.3005i | 0.489827 | + | 0.848405i | ||||
\(962\) | 0.0194988 | − | 2.99225i | 0.000628665 | − | 0.0964739i | ||||
\(963\) | 7.96862i | 0.256785i | ||||||||
\(964\) | 14.1984 | − | 23.8685i | 0.457300 | − | 0.768753i | ||||
\(965\) | − | 27.8535i | − | 0.896636i | ||||||
\(966\) | 43.8190 | − | 24.9196i | 1.40985 | − | 0.801776i | ||||
\(967\) | 2.28035 | + | 1.31656i | 0.0733312 | + | 0.0423378i | 0.536217 | − | 0.844080i | \(-0.319853\pi\) |
−0.462886 | + | 0.886418i | \(0.653186\pi\) | |||||||
\(968\) | −18.2634 | − | 33.1114i | −0.587006 | − | 1.06424i | ||||
\(969\) | −24.4402 | − | 14.1106i | −0.785133 | − | 0.453297i | ||||
\(970\) | 32.2252 | − | 54.9850i | 1.03469 | − | 1.76546i | ||||
\(971\) | 23.4808 | + | 13.5566i | 0.753533 | + | 0.435053i | 0.826969 | − | 0.562247i | \(-0.190063\pi\) |
−0.0734359 | + | 0.997300i | \(0.523396\pi\) | |||||||
\(972\) | 1.02249 | − | 1.71887i | 0.0327963 | − | 0.0551328i | ||||
\(973\) | −28.3995 | + | 49.1893i | −0.910445 | + | 1.57694i | ||||
\(974\) | −16.0322 | + | 27.3553i | −0.513703 | + | 0.876520i | ||||
\(975\) | −6.69940 | + | 3.86790i | −0.214552 | + | 0.123872i | ||||
\(976\) | −28.7281 | − | 17.6001i | −0.919565 | − | 0.563365i | ||||
\(977\) | 12.8494 | + | 22.2558i | 0.411088 | + | 0.712026i | 0.995009 | − | 0.0997848i | \(-0.0318154\pi\) |
−0.583921 | + | 0.811811i | \(0.698482\pi\) | |||||||
\(978\) | −0.118630 | + | 18.2048i | −0.00379338 | + | 0.582126i | ||||
\(979\) | −20.6610 | + | 35.7859i | −0.660329 | + | 1.14372i | ||||
\(980\) | −1.33393 | + | 102.347i | −0.0426110 | + | 3.26937i | ||||
\(981\) | 0.0519742i | 0.00165941i | ||||||||
\(982\) | 39.8737 | − | 22.6760i | 1.27242 | − | 0.723619i | ||||
\(983\) | −28.1299 | −0.897204 | −0.448602 | − | 0.893732i | \(-0.648078\pi\) | ||||
−0.448602 | + | 0.893732i | \(0.648078\pi\) | |||||||
\(984\) | 12.7714 | + | 7.71029i | 0.407136 | + | 0.245795i | ||||
\(985\) | −22.0618 | + | 38.2121i | −0.702946 | + | 1.21754i | ||||
\(986\) | 24.7894 | + | 43.5901i | 0.789457 | + | 1.38819i | ||||
\(987\) | 19.9737 | − | 11.5318i | 0.635769 | − | 0.367061i | ||||
\(988\) | −6.20225 | − | 11.0734i | −0.197320 | − | 0.352293i | ||||
\(989\) | 60.1215 | − | 34.7111i | 1.91175 | − | 1.10375i | ||||
\(990\) | 0.144958 | − | 22.2449i | 0.00460705 | − | 0.706990i | ||||
\(991\) | −58.8811 | −1.87042 | −0.935209 | − | 0.354095i | \(-0.884789\pi\) | ||||
−0.935209 | + | 0.354095i | \(0.884789\pi\) | |||||||
\(992\) | −2.11839 | − | 3.96186i | −0.0672589 | − | 0.125789i | ||||
\(993\) | −11.2686 | + | 19.5178i | −0.357599 | + | 0.619379i | ||||
\(994\) | −34.3977 | − | 20.1595i | −1.09103 | − | 0.639421i | ||||
\(995\) | −21.8137 | − | 37.7824i | −0.691541 | − | 1.19778i | ||||
\(996\) | 0.0801903 | − | 6.15267i | 0.00254093 | − | 0.194955i | ||||
\(997\) | 49.9353 | 1.58147 | 0.790734 | − | 0.612160i | \(-0.209699\pi\) | ||||
0.790734 | + | 0.612160i | \(0.209699\pi\) | |||||||
\(998\) | 3.20533 | − | 5.46918i | 0.101463 | − | 0.173124i | ||||
\(999\) | 0.704760 | + | 1.22068i | 0.0222976 | + | 0.0386206i |
(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 | 804.2.j.a.499.13 | ✓ | 68 | |
4.3 | odd | 2 | 804.2.j.b.499.24 | yes | 68 | ||
67.38 | odd | 6 | 804.2.j.b.775.24 | yes | 68 | ||
268.239 | even | 6 | inner | 804.2.j.a.775.13 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.j.a.499.13 | ✓ | 68 | 1.1 | even | 1 | trivial | |
804.2.j.a.775.13 | yes | 68 | 268.239 | even | 6 | inner | |
804.2.j.b.499.24 | yes | 68 | 4.3 | odd | 2 | ||
804.2.j.b.775.24 | yes | 68 | 67.38 | odd | 6 |