Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 659.48 | ||
Character | \(\chi\) | \(=\) | 756.659 |
Dual form | 756.2.cf.a.491.48 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.224874 | − | 1.39622i | −0.159010 | − | 0.987277i | ||||
\(3\) | 0.283220 | + | 1.70874i | 0.163517 | + | 0.986541i | ||||
\(4\) | −1.89886 | + | 0.627946i | −0.949432 | + | 0.313973i | ||||
\(5\) | 0.747603 | − | 2.05402i | 0.334338 | − | 0.918587i | −0.652631 | − | 0.757676i | \(-0.726335\pi\) |
0.986969 | − | 0.160911i | \(-0.0514431\pi\) | |||||||
\(6\) | 2.32209 | − | 0.779687i | 0.947988 | − | 0.318306i | ||||
\(7\) | −0.984808 | − | 0.173648i | −0.372222 | − | 0.0656328i | ||||
\(8\) | 1.30376 | + | 2.51002i | 0.460947 | + | 0.887428i | ||||
\(9\) | −2.83957 | + | 0.967897i | −0.946524 | + | 0.322632i | ||||
\(10\) | −3.03598 | − | 0.581923i | −0.960063 | − | 0.184020i | ||||
\(11\) | −3.57896 | + | 1.30263i | −1.07910 | + | 0.392759i | −0.819571 | − | 0.572978i | \(-0.805788\pi\) |
−0.259525 | + | 0.965736i | \(0.583566\pi\) | |||||||
\(12\) | −1.61079 | − | 3.06681i | −0.464995 | − | 0.885313i | ||||
\(13\) | 0.135281 | − | 0.113514i | 0.0375203 | − | 0.0314832i | −0.623835 | − | 0.781556i | \(-0.714426\pi\) |
0.661355 | + | 0.750073i | \(0.269982\pi\) | |||||||
\(14\) | −0.0209939 | + | 1.41406i | −0.00561086 | + | 0.377923i | ||||
\(15\) | 3.72152 | + | 0.695718i | 0.960893 | + | 0.179634i | ||||
\(16\) | 3.21137 | − | 2.38477i | 0.802842 | − | 0.596192i | ||||
\(17\) | −5.31680 | + | 3.06966i | −1.28951 | + | 0.744501i | −0.978568 | − | 0.205926i | \(-0.933979\pi\) |
−0.310947 | + | 0.950427i | \(0.600646\pi\) | |||||||
\(18\) | 1.98994 | + | 3.74702i | 0.469034 | + | 0.883180i | ||||
\(19\) | 1.99685 | + | 1.15288i | 0.458110 | + | 0.264490i | 0.711249 | − | 0.702940i | \(-0.248130\pi\) |
−0.253139 | + | 0.967430i | \(0.581463\pi\) | |||||||
\(20\) | −0.129781 | + | 4.36976i | −0.0290198 | + | 0.977109i | ||||
\(21\) | 0.0178022 | − | 1.73196i | 0.00388476 | − | 0.377945i | ||||
\(22\) | 2.62358 | + | 4.70408i | 0.559348 | + | 1.00291i | ||||
\(23\) | −0.0492249 | − | 0.279169i | −0.0102641 | − | 0.0582107i | 0.979246 | − | 0.202678i | \(-0.0649644\pi\) |
−0.989510 | + | 0.144467i | \(0.953853\pi\) | |||||||
\(24\) | −3.91972 | + | 2.93867i | −0.800110 | + | 0.599853i | ||||
\(25\) | 0.170124 | + | 0.142751i | 0.0340247 | + | 0.0285501i | ||||
\(26\) | −0.188912 | − | 0.163356i | −0.0370488 | − | 0.0320367i | ||||
\(27\) | −2.45811 | − | 4.57796i | −0.473063 | − | 0.881029i | ||||
\(28\) | 1.97906 | − | 0.288672i | 0.374007 | − | 0.0545539i | ||||
\(29\) | −4.88155 | + | 5.81761i | −0.906482 | + | 1.08030i | 0.0899540 | + | 0.995946i | \(0.471328\pi\) |
−0.996436 | + | 0.0843568i | \(0.973116\pi\) | |||||||
\(30\) | 0.134504 | − | 5.35252i | 0.0245569 | − | 0.977231i | ||||
\(31\) | −4.41115 | + | 0.777805i | −0.792266 | + | 0.139698i | −0.555114 | − | 0.831775i | \(-0.687325\pi\) |
−0.237152 | + | 0.971472i | \(0.576214\pi\) | |||||||
\(32\) | −4.05181 | − | 3.94751i | −0.716266 | − | 0.697827i | ||||
\(33\) | −3.23949 | − | 5.74657i | −0.563923 | − | 1.00035i | ||||
\(34\) | 5.48153 | + | 6.73314i | 0.940074 | + | 1.15472i | ||||
\(35\) | −1.09292 | + | 1.89300i | −0.184738 | + | 0.319975i | ||||
\(36\) | 4.78418 | − | 3.62100i | 0.797363 | − | 0.603501i | ||||
\(37\) | 0.564446 | + | 0.977649i | 0.0927943 | + | 0.160724i | 0.908686 | − | 0.417480i | \(-0.137087\pi\) |
−0.815892 | + | 0.578205i | \(0.803753\pi\) | |||||||
\(38\) | 1.16064 | − | 3.04730i | 0.188281 | − | 0.494338i | ||||
\(39\) | 0.232281 | + | 0.199011i | 0.0371947 | + | 0.0318672i | ||||
\(40\) | 6.13034 | − | 0.801442i | 0.969292 | − | 0.126719i | ||||
\(41\) | −7.24325 | − | 8.63216i | −1.13120 | − | 1.34812i | −0.929565 | − | 0.368658i | \(-0.879817\pi\) |
−0.201640 | − | 0.979460i | \(-0.564627\pi\) | |||||||
\(42\) | −2.42220 | + | 0.364616i | −0.373754 | + | 0.0562615i | ||||
\(43\) | −0.101877 | − | 0.279904i | −0.0155361 | − | 0.0426850i | 0.931682 | − | 0.363274i | \(-0.118341\pi\) |
−0.947218 | + | 0.320589i | \(0.896119\pi\) | |||||||
\(44\) | 5.97797 | − | 4.72092i | 0.901212 | − | 0.711705i | ||||
\(45\) | −0.134791 | + | 6.55615i | −0.0200935 | + | 0.977333i | ||||
\(46\) | −0.378711 | + | 0.131507i | −0.0558380 | + | 0.0193896i | ||||
\(47\) | −1.47637 | + | 8.37293i | −0.215351 | + | 1.22132i | 0.664945 | + | 0.746893i | \(0.268455\pi\) |
−0.880296 | + | 0.474425i | \(0.842656\pi\) | |||||||
\(48\) | 4.98447 | + | 4.81197i | 0.719446 | + | 0.694548i | ||||
\(49\) | 0.939693 | + | 0.342020i | 0.134242 | + | 0.0488600i | ||||
\(50\) | 0.161055 | − | 0.269631i | 0.0227766 | − | 0.0381316i | ||||
\(51\) | −6.75107 | − | 8.21564i | −0.945338 | − | 1.15042i | ||||
\(52\) | −0.185600 | + | 0.300498i | −0.0257380 | + | 0.0416715i | ||||
\(53\) | 1.17351i | 0.161195i | 0.996747 | + | 0.0805973i | \(0.0256828\pi\) | ||||
−0.996747 | + | 0.0805973i | \(0.974317\pi\) | |||||||
\(54\) | −5.83908 | + | 4.46152i | −0.794598 | + | 0.607136i | ||||
\(55\) | 8.32511i | 1.12256i | ||||||||
\(56\) | −0.848088 | − | 2.69829i | −0.113330 | − | 0.360574i | ||||
\(57\) | −1.40443 | + | 3.73862i | −0.186021 | + | 0.495193i | ||||
\(58\) | 9.22040 | + | 5.50750i | 1.21070 | + | 0.723170i | ||||
\(59\) | 3.05479 | + | 1.11185i | 0.397700 | + | 0.144751i | 0.533124 | − | 0.846037i | \(-0.321018\pi\) |
−0.135425 | + | 0.990788i | \(0.543240\pi\) | |||||||
\(60\) | −7.50354 | + | 1.01584i | −0.968703 | + | 0.131145i | ||||
\(61\) | −2.13712 | + | 12.1202i | −0.273630 | + | 1.55183i | 0.469649 | + | 0.882853i | \(0.344381\pi\) |
−0.743279 | + | 0.668982i | \(0.766731\pi\) | |||||||
\(62\) | 2.07794 | + | 5.98403i | 0.263898 | + | 0.759973i | ||||
\(63\) | 2.96451 | − | 0.460106i | 0.373493 | − | 0.0579679i | ||||
\(64\) | −4.60044 | + | 6.54492i | −0.575055 | + | 0.818115i | ||||
\(65\) | −0.132025 | − | 0.362734i | −0.0163756 | − | 0.0449917i | ||||
\(66\) | −7.29500 | + | 5.81530i | −0.897952 | + | 0.715813i | ||||
\(67\) | −4.21151 | − | 5.01908i | −0.514518 | − | 0.613179i | 0.444757 | − | 0.895651i | \(-0.353290\pi\) |
−0.959275 | + | 0.282472i | \(0.908845\pi\) | |||||||
\(68\) | 8.16830 | − | 9.16753i | 0.990552 | − | 1.11173i | ||||
\(69\) | 0.463084 | − | 0.163179i | 0.0557488 | − | 0.0196444i | ||||
\(70\) | 2.88881 | + | 1.10028i | 0.345279 | + | 0.131508i | ||||
\(71\) | −0.0796712 | − | 0.137995i | −0.00945523 | − | 0.0163769i | 0.861259 | − | 0.508166i | \(-0.169676\pi\) |
−0.870714 | + | 0.491789i | \(0.836343\pi\) | |||||||
\(72\) | −6.13155 | − | 5.86550i | −0.722611 | − | 0.691255i | ||||
\(73\) | −4.16572 | + | 7.21524i | −0.487560 | + | 0.844480i | −0.999898 | − | 0.0143048i | \(-0.995446\pi\) |
0.512337 | + | 0.858784i | \(0.328780\pi\) | |||||||
\(74\) | 1.23808 | − | 1.00794i | 0.143924 | − | 0.117170i | ||||
\(75\) | −0.195741 | + | 0.331126i | −0.0226022 | + | 0.0382352i | ||||
\(76\) | −4.51571 | − | 0.935254i | −0.517987 | − | 0.107281i | ||||
\(77\) | 3.75078 | − | 0.661364i | 0.427441 | − | 0.0753695i | ||||
\(78\) | 0.225629 | − | 0.369067i | 0.0255474 | − | 0.0417887i | ||||
\(79\) | 1.06892 | − | 1.27389i | 0.120263 | − | 0.143324i | −0.702554 | − | 0.711631i | \(-0.747957\pi\) |
0.822817 | + | 0.568307i | \(0.192401\pi\) | |||||||
\(80\) | −2.49754 | − | 8.37908i | −0.279234 | − | 0.936810i | ||||
\(81\) | 7.12635 | − | 5.49683i | 0.791817 | − | 0.610759i | ||||
\(82\) | −10.4236 | + | 12.0543i | −1.15109 | + | 1.33118i | ||||
\(83\) | −6.85632 | − | 5.75314i | −0.752579 | − | 0.631489i | 0.183605 | − | 0.983000i | \(-0.441223\pi\) |
−0.936184 | + | 0.351511i | \(0.885668\pi\) | |||||||
\(84\) | 1.05377 | + | 3.29993i | 0.114976 | + | 0.360052i | ||||
\(85\) | 2.33029 | + | 13.2157i | 0.252755 | + | 1.43345i | ||||
\(86\) | −0.367898 | + | 0.205185i | −0.0396715 | + | 0.0221257i | ||||
\(87\) | −11.3233 | − | 6.69363i | −1.21399 | − | 0.717633i | ||||
\(88\) | −7.93573 | − | 7.28495i | −0.845951 | − | 0.776578i | ||||
\(89\) | 1.26098 | + | 0.728026i | 0.133663 | + | 0.0771706i | 0.565341 | − | 0.824858i | \(-0.308745\pi\) |
−0.431677 | + | 0.902028i | \(0.642078\pi\) | |||||||
\(90\) | 9.18414 | − | 1.28611i | 0.968094 | − | 0.135568i | ||||
\(91\) | −0.152938 | + | 0.0882985i | −0.0160322 | + | 0.00925620i | ||||
\(92\) | 0.268774 | + | 0.499192i | 0.0280217 | + | 0.0520444i | ||||
\(93\) | −2.57839 | − | 7.31721i | −0.267367 | − | 0.758760i | ||||
\(94\) | 12.0225 | + | 0.178492i | 1.24002 | + | 0.0184101i | ||||
\(95\) | 3.86091 | − | 3.23969i | 0.396121 | − | 0.332385i | ||||
\(96\) | 5.59770 | − | 8.04150i | 0.571313 | − | 0.820732i | ||||
\(97\) | 12.1677 | − | 4.42868i | 1.23544 | − | 0.449665i | 0.359985 | − | 0.932958i | \(-0.382782\pi\) |
0.875458 | + | 0.483293i | \(0.160560\pi\) | |||||||
\(98\) | 0.266224 | − | 1.38893i | 0.0268926 | − | 0.140303i | ||||
\(99\) | 8.90189 | − | 7.16298i | 0.894674 | − | 0.719907i | ||||
\(100\) | −0.412681 | − | 0.164236i | −0.0412681 | − | 0.0164236i | ||||
\(101\) | 12.8452 | + | 2.26495i | 1.27814 | + | 0.225371i | 0.771192 | − | 0.636603i | \(-0.219661\pi\) |
0.506953 | + | 0.861974i | \(0.330772\pi\) | |||||||
\(102\) | −9.95271 | + | 11.2735i | −0.985465 | + | 1.11624i | ||||
\(103\) | 3.09264 | − | 8.49696i | 0.304727 | − | 0.837231i | −0.688935 | − | 0.724823i | \(-0.741922\pi\) |
0.993662 | − | 0.112408i | \(-0.0358562\pi\) | |||||||
\(104\) | 0.461298 | + | 0.191564i | 0.0452339 | + | 0.0187844i | ||||
\(105\) | −3.54417 | − | 1.33138i | −0.345876 | − | 0.129930i | ||||
\(106\) | 1.63849 | − | 0.263892i | 0.159144 | − | 0.0256315i | ||||
\(107\) | −9.29019 | −0.898117 | −0.449058 | − | 0.893502i | \(-0.648241\pi\) | ||||
−0.449058 | + | 0.893502i | \(0.648241\pi\) | |||||||
\(108\) | 7.54232 | + | 7.14936i | 0.725760 | + | 0.687948i | ||||
\(109\) | −7.22711 | −0.692231 | −0.346116 | − | 0.938192i | \(-0.612500\pi\) | ||||
−0.346116 | + | 0.938192i | \(0.612500\pi\) | |||||||
\(110\) | 11.6237 | − | 1.87210i | 1.10828 | − | 0.178497i | ||||
\(111\) | −1.51068 | + | 1.24138i | −0.143388 | + | 0.117827i | ||||
\(112\) | −3.57669 | + | 1.79089i | −0.337965 | + | 0.169223i | ||||
\(113\) | 4.92062 | − | 13.5193i | 0.462893 | − | 1.27179i | −0.460406 | − | 0.887708i | \(-0.652296\pi\) |
0.923299 | − | 0.384081i | \(-0.125482\pi\) | |||||||
\(114\) | 5.53576 | + | 1.12018i | 0.518471 | + | 0.104914i | ||||
\(115\) | −0.610219 | − | 0.107598i | −0.0569032 | − | 0.0100336i | ||||
\(116\) | 5.61626 | − | 14.1122i | 0.521457 | − | 1.31028i | ||||
\(117\) | −0.274271 | + | 0.453271i | −0.0253563 | + | 0.0419049i | ||||
\(118\) | 0.865450 | − | 4.51518i | 0.0796711 | − | 0.415656i | ||||
\(119\) | 5.76907 | − | 2.09977i | 0.528850 | − | 0.192486i | ||||
\(120\) | 3.10569 | + | 10.2482i | 0.283509 | + | 0.935525i | ||||
\(121\) | 2.68559 | − | 2.25347i | 0.244144 | − | 0.204861i | ||||
\(122\) | 17.4031 | + | 0.258376i | 1.57560 | + | 0.0233923i | ||||
\(123\) | 12.6987 | − | 14.8216i | 1.14500 | − | 1.33642i | ||||
\(124\) | 7.88775 | − | 4.24691i | 0.708341 | − | 0.381384i | ||||
\(125\) | 9.88539 | − | 5.70733i | 0.884176 | − | 0.510479i | ||||
\(126\) | −1.30905 | − | 4.03564i | −0.116619 | − | 0.359523i | ||||
\(127\) | 9.51426 | + | 5.49306i | 0.844254 | + | 0.487430i | 0.858708 | − | 0.512465i | \(-0.171268\pi\) |
−0.0144542 | + | 0.999896i | \(0.504601\pi\) | |||||||
\(128\) | 10.1727 | + | 4.95145i | 0.899145 | + | 0.437651i | ||||
\(129\) | 0.449429 | − | 0.253355i | 0.0395700 | − | 0.0223067i | ||||
\(130\) | −0.476768 | + | 0.265905i | −0.0418154 | + | 0.0233214i | ||||
\(131\) | −1.05923 | − | 6.00720i | −0.0925455 | − | 0.524852i | −0.995472 | − | 0.0950565i | \(-0.969697\pi\) |
0.902926 | − | 0.429795i | \(-0.141414\pi\) | |||||||
\(132\) | 9.75989 | + | 8.87772i | 0.849489 | + | 0.772707i | ||||
\(133\) | −1.76632 | − | 1.48212i | −0.153160 | − | 0.128516i | ||||
\(134\) | −6.06069 | + | 7.00886i | −0.523564 | + | 0.605473i | ||||
\(135\) | −11.2409 | + | 1.62651i | −0.967464 | + | 0.139988i | ||||
\(136\) | −14.6367 | − | 9.34322i | −1.25509 | − | 0.801175i | ||||
\(137\) | −12.8919 | + | 15.3640i | −1.10143 | + | 1.31264i | −0.155660 | + | 0.987811i | \(0.549750\pi\) |
−0.945774 | + | 0.324826i | \(0.894694\pi\) | |||||||
\(138\) | −0.331969 | − | 0.609873i | −0.0282591 | − | 0.0519159i | ||||
\(139\) | 16.6832 | − | 2.94169i | 1.41505 | − | 0.249511i | 0.586735 | − | 0.809779i | \(-0.300413\pi\) |
0.828312 | + | 0.560268i | \(0.189302\pi\) | |||||||
\(140\) | 0.886611 | − | 4.28084i | 0.0749323 | − | 0.361797i | ||||
\(141\) | −14.7253 | − | 0.151356i | −1.24009 | − | 0.0127465i | ||||
\(142\) | −0.174755 | + | 0.142270i | −0.0146651 | + | 0.0119390i | ||||
\(143\) | −0.336298 | + | 0.582485i | −0.0281226 | + | 0.0487098i | ||||
\(144\) | −6.81070 | + | 9.88000i | −0.567558 | + | 0.823333i | ||||
\(145\) | 8.30003 | + | 14.3761i | 0.689280 | + | 1.19387i | ||||
\(146\) | 11.0108 | + | 4.19375i | 0.911262 | + | 0.347077i | ||||
\(147\) | −0.318283 | + | 1.70256i | −0.0262516 | + | 0.140424i | ||||
\(148\) | −1.68572 | − | 1.50198i | −0.138565 | − | 0.123462i | ||||
\(149\) | −6.24398 | − | 7.44128i | −0.511527 | − | 0.609614i | 0.447029 | − | 0.894520i | \(-0.352482\pi\) |
−0.958556 | + | 0.284906i | \(0.908038\pi\) | |||||||
\(150\) | 0.506343 | + | 0.198836i | 0.0413427 | + | 0.0162349i | ||||
\(151\) | −7.50767 | − | 20.6272i | −0.610966 | − | 1.67861i | −0.728077 | − | 0.685496i | \(-0.759585\pi\) |
0.117111 | − | 0.993119i | \(-0.462637\pi\) | |||||||
\(152\) | −0.290357 | + | 6.51523i | −0.0235511 | + | 0.528455i | ||||
\(153\) | 12.1263 | − | 13.8626i | 0.980356 | − | 1.12073i | ||||
\(154\) | −1.76686 | − | 5.08820i | −0.142378 | − | 0.410019i | ||||
\(155\) | −1.70016 | + | 9.64209i | −0.136560 | + | 0.774471i | ||||
\(156\) | −0.566037 | − | 0.232034i | −0.0453193 | − | 0.0185776i | ||||
\(157\) | 8.95421 | + | 3.25907i | 0.714624 | + | 0.260102i | 0.673642 | − | 0.739058i | \(-0.264729\pi\) |
0.0409823 | + | 0.999160i | \(0.486951\pi\) | |||||||
\(158\) | −2.01900 | − | 1.20598i | −0.160623 | − | 0.0959429i | ||||
\(159\) | −2.00523 | + | 0.332363i | −0.159025 | + | 0.0263581i | ||||
\(160\) | −11.1374 | + | 5.37135i | −0.880490 | + | 0.424643i | ||||
\(161\) | 0.283475i | 0.0223410i | ||||||||
\(162\) | −9.27731 | − | 8.71387i | −0.728895 | − | 0.684626i | ||||
\(163\) | 12.7508i | 0.998718i | 0.866395 | + | 0.499359i | \(0.166431\pi\) | ||||
−0.866395 | + | 0.499359i | \(0.833569\pi\) | |||||||
\(164\) | 19.1745 | + | 11.8429i | 1.49727 | + | 0.924778i | ||||
\(165\) | −14.2254 | + | 2.35784i | −1.10745 | + | 0.183557i | ||||
\(166\) | −6.49084 | + | 10.8667i | −0.503787 | + | 0.843417i | ||||
\(167\) | 0.976334 | + | 0.355357i | 0.0755510 | + | 0.0274983i | 0.379519 | − | 0.925184i | \(-0.376089\pi\) |
−0.303968 | + | 0.952682i | \(0.598312\pi\) | |||||||
\(168\) | 4.37047 | − | 2.21337i | 0.337189 | − | 0.170765i | ||||
\(169\) | −2.25201 | + | 12.7718i | −0.173232 | + | 0.982445i | ||||
\(170\) | 17.9280 | − | 6.22546i | 1.37502 | − | 0.477471i | ||||
\(171\) | −6.78609 | − | 1.34095i | −0.518945 | − | 0.102545i | ||||
\(172\) | 0.369215 | + | 0.467527i | 0.0281524 | + | 0.0356486i | ||||
\(173\) | −4.99923 | − | 13.7353i | −0.380084 | − | 1.04427i | −0.971320 | − | 0.237774i | \(-0.923582\pi\) |
0.591236 | − | 0.806498i | \(-0.298640\pi\) | |||||||
\(174\) | −6.79947 | + | 17.3151i | −0.515467 | + | 1.31265i | ||||
\(175\) | −0.142751 | − | 0.170124i | −0.0107909 | − | 0.0128601i | ||||
\(176\) | −8.38686 | + | 12.7182i | −0.632184 | + | 0.958672i | ||||
\(177\) | −1.03469 | + | 5.53473i | −0.0777719 | + | 0.416016i | ||||
\(178\) | 0.732924 | − | 1.92432i | 0.0549350 | − | 0.144234i | ||||
\(179\) | −10.7107 | − | 18.5515i | −0.800555 | − | 1.38660i | −0.919251 | − | 0.393672i | \(-0.871205\pi\) |
0.118696 | − | 0.992931i | \(-0.462129\pi\) | |||||||
\(180\) | −3.86096 | − | 12.5339i | −0.287779 | − | 0.934220i | ||||
\(181\) | 5.65404 | − | 9.79309i | 0.420262 | − | 0.727914i | −0.575703 | − | 0.817659i | \(-0.695272\pi\) |
0.995965 | + | 0.0897443i | \(0.0286050\pi\) | |||||||
\(182\) | 0.157676 | + | 0.193679i | 0.0116877 | + | 0.0143564i | ||||
\(183\) | −21.3156 | − | 0.219095i | −1.57569 | − | 0.0161960i | ||||
\(184\) | 0.636542 | − | 0.487523i | 0.0469265 | − | 0.0359407i | ||||
\(185\) | 2.43009 | − | 0.428491i | 0.178664 | − | 0.0315033i | ||||
\(186\) | −9.63663 | + | 5.24545i | −0.706592 | + | 0.384615i | ||||
\(187\) | 15.0300 | − | 17.9120i | 1.09910 | − | 1.30986i | ||||
\(188\) | −2.45432 | − | 16.8261i | −0.179000 | − | 1.22717i | ||||
\(189\) | 1.62581 | + | 4.93526i | 0.118260 | + | 0.358987i | ||||
\(190\) | −5.39153 | − | 4.66216i | −0.391143 | − | 0.338228i | ||||
\(191\) | 13.0242 | + | 10.9286i | 0.942398 | + | 0.790765i | 0.978001 | − | 0.208601i | \(-0.0668909\pi\) |
−0.0356034 | + | 0.999366i | \(0.511335\pi\) | |||||||
\(192\) | −12.4865 | − | 6.00730i | −0.901134 | − | 0.433540i | ||||
\(193\) | 0.219069 | + | 1.24240i | 0.0157689 | + | 0.0894301i | 0.991677 | − | 0.128754i | \(-0.0410978\pi\) |
−0.975908 | + | 0.218184i | \(0.929987\pi\) | |||||||
\(194\) | −8.91962 | − | 15.9929i | −0.640391 | − | 1.14822i | ||||
\(195\) | 0.582426 | − | 0.328329i | 0.0417084 | − | 0.0235121i | ||||
\(196\) | −1.99912 | − | 0.0593732i | −0.142794 | − | 0.00424094i | ||||
\(197\) | −18.4993 | − | 10.6806i | −1.31802 | − | 0.760959i | −0.334609 | − | 0.942357i | \(-0.608604\pi\) |
−0.983410 | + | 0.181398i | \(0.941938\pi\) | |||||||
\(198\) | −12.0029 | − | 10.8182i | −0.853009 | − | 0.768819i | ||||
\(199\) | −8.97138 | + | 5.17963i | −0.635964 | + | 0.367174i | −0.783058 | − | 0.621948i | \(-0.786341\pi\) |
0.147094 | + | 0.989122i | \(0.453008\pi\) | |||||||
\(200\) | −0.136508 | + | 0.613126i | −0.00965257 | + | 0.0433546i | ||||
\(201\) | 7.38352 | − | 8.61788i | 0.520793 | − | 0.607858i | ||||
\(202\) | 0.273831 | − | 18.4441i | 0.0192667 | − | 1.29772i | ||||
\(203\) | 5.81761 | − | 4.88155i | 0.408316 | − | 0.342618i | ||||
\(204\) | 17.9783 | + | 11.3611i | 1.25874 | + | 0.795434i | ||||
\(205\) | −23.1457 | + | 8.42436i | −1.61657 | + | 0.588383i | ||||
\(206\) | −12.5591 | − | 2.40727i | −0.875033 | − | 0.167722i | ||||
\(207\) | 0.409984 | + | 0.745075i | 0.0284959 | + | 0.0517863i | ||||
\(208\) | 0.163732 | − | 0.687151i | 0.0113528 | − | 0.0476453i | ||||
\(209\) | −8.64844 | − | 1.52495i | −0.598225 | − | 0.105483i | ||||
\(210\) | −1.06191 | + | 5.24784i | −0.0732791 | + | 0.362136i | ||||
\(211\) | 2.82100 | − | 7.75062i | 0.194205 | − | 0.533575i | −0.803923 | − | 0.594734i | \(-0.797257\pi\) |
0.998128 | + | 0.0611589i | \(0.0194797\pi\) | |||||||
\(212\) | −0.736904 | − | 2.22834i | −0.0506108 | − | 0.153043i | ||||
\(213\) | 0.213232 | − | 0.175220i | 0.0146104 | − | 0.0120059i | ||||
\(214\) | 2.08912 | + | 12.9712i | 0.142809 | + | 0.886690i | ||||
\(215\) | −0.651093 | −0.0444042 | ||||||||
\(216\) | 8.28602 | − | 12.1384i | 0.563792 | − | 0.825917i | ||||
\(217\) | 4.47920 | 0.304068 | ||||||||
\(218\) | 1.62519 | + | 10.0906i | 0.110071 | + | 0.683424i | ||||
\(219\) | −13.5088 | − | 5.07462i | −0.912838 | − | 0.342911i | ||||
\(220\) | −5.22772 | − | 15.8083i | −0.352453 | − | 1.06579i | ||||
\(221\) | −0.370813 | + | 1.01880i | −0.0249436 | + | 0.0685320i | ||||
\(222\) | 2.07295 | + | 1.83009i | 0.139127 | + | 0.122828i | ||||
\(223\) | 7.15724 | + | 1.26201i | 0.479284 | + | 0.0845107i | 0.408071 | − | 0.912950i | \(-0.366202\pi\) |
0.0712135 | + | 0.997461i | \(0.477313\pi\) | |||||||
\(224\) | 3.30478 | + | 4.59112i | 0.220810 | + | 0.306757i | ||||
\(225\) | −0.621246 | − | 0.240689i | −0.0414164 | − | 0.0160459i | ||||
\(226\) | −19.9825 | − | 3.83014i | −1.32921 | − | 0.254777i | ||||
\(227\) | 14.2760 | − | 5.19605i | 0.947534 | − | 0.344874i | 0.178397 | − | 0.983959i | \(-0.442909\pi\) |
0.769137 | + | 0.639085i | \(0.220687\pi\) | |||||||
\(228\) | 0.319166 | − | 7.98104i | 0.0211373 | − | 0.528557i | ||||
\(229\) | −9.56396 | + | 8.02512i | −0.632004 | + | 0.530315i | −0.901551 | − | 0.432673i | \(-0.857571\pi\) |
0.269547 | + | 0.962987i | \(0.413126\pi\) | |||||||
\(230\) | −0.0130085 | + | 0.876197i | −0.000857756 | + | 0.0577747i | ||||
\(231\) | 2.19240 | + | 6.22180i | 0.144249 | + | 0.409364i | ||||
\(232\) | −20.9667 | − | 4.66808i | −1.37653 | − | 0.306474i | ||||
\(233\) | 17.8354 | − | 10.2973i | 1.16844 | − | 0.674598i | 0.215126 | − | 0.976586i | \(-0.430984\pi\) |
0.953311 | + | 0.301989i | \(0.0976505\pi\) | |||||||
\(234\) | 0.694542 | + | 0.281014i | 0.0454036 | + | 0.0183704i | ||||
\(235\) | 16.0945 | + | 9.29214i | 1.04989 | + | 0.606152i | ||||
\(236\) | −6.49881 | − | 0.193013i | −0.423037 | − | 0.0125641i | ||||
\(237\) | 2.47948 | + | 1.46571i | 0.161060 | + | 0.0952083i | ||||
\(238\) | −4.22905 | − | 7.58271i | −0.274129 | − | 0.491514i | ||||
\(239\) | 3.86304 | + | 21.9084i | 0.249879 | + | 1.41713i | 0.808883 | + | 0.587970i | \(0.200073\pi\) |
−0.559004 | + | 0.829165i | \(0.688816\pi\) | |||||||
\(240\) | 13.6103 | − | 6.64077i | 0.878541 | − | 0.428660i | ||||
\(241\) | 12.3156 | + | 10.3340i | 0.793317 | + | 0.665672i | 0.946564 | − | 0.322516i | \(-0.104529\pi\) |
−0.153247 | + | 0.988188i | \(0.548973\pi\) | |||||||
\(242\) | −3.75026 | − | 3.24292i | −0.241076 | − | 0.208463i | ||||
\(243\) | 11.4110 | + | 10.6203i | 0.732014 | + | 0.681290i | ||||
\(244\) | −3.55274 | − | 24.3566i | −0.227441 | − | 1.55927i | ||||
\(245\) | 1.40503 | − | 1.67445i | 0.0897643 | − | 0.106977i | ||||
\(246\) | −23.5498 | − | 14.3972i | −1.50148 | − | 0.917930i | ||||
\(247\) | 0.401006 | − | 0.0707082i | 0.0255154 | − | 0.00449905i | ||||
\(248\) | −7.70337 | − | 10.0580i | −0.489165 | − | 0.638685i | ||||
\(249\) | 7.88876 | − | 13.3451i | 0.499930 | − | 0.845709i | ||||
\(250\) | −10.1917 | − | 12.5188i | −0.644577 | − | 0.791755i | ||||
\(251\) | −11.4578 | + | 19.8455i | −0.723210 | + | 1.25264i | 0.236496 | + | 0.971632i | \(0.424001\pi\) |
−0.959706 | + | 0.281004i | \(0.909332\pi\) | |||||||
\(252\) | −5.34027 | + | 2.73523i | −0.336406 | + | 0.172303i | ||||
\(253\) | 0.539828 | + | 0.935010i | 0.0339387 | + | 0.0587836i | ||||
\(254\) | 5.53002 | − | 14.5192i | 0.346984 | − | 0.911018i | ||||
\(255\) | −21.9222 | + | 7.72481i | −1.37282 | + | 0.483746i | ||||
\(256\) | 4.62576 | − | 15.3167i | 0.289110 | − | 0.957296i | ||||
\(257\) | −4.21238 | − | 5.02012i | −0.262761 | − | 0.313147i | 0.618492 | − | 0.785791i | \(-0.287744\pi\) |
−0.881253 | + | 0.472645i | \(0.843299\pi\) | |||||||
\(258\) | −0.454804 | − | 0.570530i | −0.0283149 | − | 0.0355196i | ||||
\(259\) | −0.386104 | − | 1.06081i | −0.0239913 | − | 0.0659156i | ||||
\(260\) | 0.478474 | + | 0.605879i | 0.0296737 | + | 0.0375750i | ||||
\(261\) | 8.23068 | − | 21.2444i | 0.509466 | − | 1.31499i | ||||
\(262\) | −8.14919 | + | 2.82978i | −0.503458 | + | 0.174825i | ||||
\(263\) | −3.84540 | + | 21.8083i | −0.237117 | + | 1.34476i | 0.600991 | + | 0.799256i | \(0.294773\pi\) |
−0.838108 | + | 0.545504i | \(0.816338\pi\) | |||||||
\(264\) | 10.2005 | − | 15.6233i | 0.627799 | − | 0.961549i | ||||
\(265\) | 2.41043 | + | 0.877323i | 0.148071 | + | 0.0538935i | ||||
\(266\) | −1.67217 | + | 2.79946i | −0.102527 | + | 0.171646i | ||||
\(267\) | −0.886872 | + | 2.36087i | −0.0542757 | + | 0.144483i | ||||
\(268\) | 11.1488 | + | 6.88595i | 0.681022 | + | 0.420627i | ||||
\(269\) | 17.6558i | 1.07649i | 0.842788 | + | 0.538246i | \(0.180913\pi\) | ||||
−0.842788 | + | 0.538246i | \(0.819087\pi\) | |||||||
\(270\) | 4.79875 | + | 15.3290i | 0.292043 | + | 0.932896i | ||||
\(271\) | 8.29896i | 0.504126i | 0.967711 | + | 0.252063i | \(0.0811090\pi\) | ||||
−0.967711 | + | 0.252063i | \(0.918891\pi\) | |||||||
\(272\) | −9.75378 | + | 22.5371i | −0.591410 | + | 1.36651i | ||||
\(273\) | −0.194194 | − | 0.236322i | −0.0117532 | − | 0.0143029i | ||||
\(274\) | 24.3506 | + | 14.5450i | 1.47107 | + | 0.878698i | ||||
\(275\) | −0.794817 | − | 0.289290i | −0.0479292 | − | 0.0174448i | ||||
\(276\) | −0.776867 | + | 0.600646i | −0.0467619 | + | 0.0361546i | ||||
\(277\) | 1.00431 | − | 5.69571i | 0.0603429 | − | 0.342222i | −0.939657 | − | 0.342118i | \(-0.888856\pi\) |
1.00000 | 0.000103968i | \(-3.30941e-5\pi\) | ||||||||
\(278\) | −7.85885 | − | 22.6319i | −0.471343 | − | 1.35737i | ||||
\(279\) | 11.7729 | − | 6.47817i | 0.704828 | − | 0.387838i | ||||
\(280\) | −6.17637 | − | 0.275256i | −0.369109 | − | 0.0164497i | ||||
\(281\) | −5.68165 | − | 15.6102i | −0.338939 | − | 0.931227i | −0.985696 | − | 0.168531i | \(-0.946098\pi\) |
0.646757 | − | 0.762696i | \(-0.276125\pi\) | |||||||
\(282\) | 3.10000 | + | 20.5938i | 0.184602 | + | 1.22634i | ||||
\(283\) | 17.3005 | + | 20.6180i | 1.02841 | + | 1.22561i | 0.973872 | + | 0.227099i | \(0.0729241\pi\) |
0.0545378 | + | 0.998512i | \(0.482631\pi\) | |||||||
\(284\) | 0.237938 | + | 0.212004i | 0.0141190 | + | 0.0125801i | ||||
\(285\) | 6.62926 | + | 5.67974i | 0.392683 | + | 0.336438i | ||||
\(286\) | 0.888902 | + | 0.338560i | 0.0525619 | + | 0.0200195i | ||||
\(287\) | 5.63424 | + | 9.75880i | 0.332579 | + | 0.576044i | ||||
\(288\) | 15.3262 | + | 7.28749i | 0.903105 | + | 0.429419i | ||||
\(289\) | 10.3456 | − | 17.9191i | 0.608565 | − | 1.05406i | ||||
\(290\) | 18.2057 | − | 14.8215i | 1.06908 | − | 0.870347i | ||||
\(291\) | 11.0136 | + | 19.5371i | 0.645629 | + | 1.14529i | ||||
\(292\) | 3.37935 | − | 16.3166i | 0.197762 | − | 0.954857i | ||||
\(293\) | −32.2588 | + | 5.68811i | −1.88458 | + | 0.332303i | −0.992763 | − | 0.120090i | \(-0.961682\pi\) |
−0.891819 | + | 0.452392i | \(0.850571\pi\) | |||||||
\(294\) | 2.44872 | + | 0.0615340i | 0.142812 | + | 0.00358873i | ||||
\(295\) | 4.56754 | − | 5.44338i | 0.265932 | − | 0.316926i | ||||
\(296\) | −1.71802 | + | 2.69139i | −0.0998580 | + | 0.156434i | ||||
\(297\) | 14.7609 | + | 13.1823i | 0.856512 | + | 0.764915i | ||||
\(298\) | −8.98557 | + | 10.3913i | −0.520520 | + | 0.601953i | ||||
\(299\) | −0.0383489 | − | 0.0321785i | −0.00221777 | − | 0.00186093i | ||||
\(300\) | 0.163756 | − | 0.751679i | 0.00945446 | − | 0.0433982i | ||||
\(301\) | 0.0517242 | + | 0.293342i | 0.00298133 | + | 0.0169080i | ||||
\(302\) | −27.1118 | + | 15.1209i | −1.56011 | + | 0.870108i | ||||
\(303\) | −0.232200 | + | 22.5906i | −0.0133396 | + | 1.29779i | ||||
\(304\) | 9.16200 | − | 1.05970i | 0.525477 | − | 0.0607780i | ||||
\(305\) | 23.2975 | + | 13.4508i | 1.33401 | + | 0.770191i | ||||
\(306\) | −22.0822 | − | 13.8137i | −1.26235 | − | 0.789677i | ||||
\(307\) | −22.8520 | + | 13.1936i | −1.30423 | + | 0.752999i | −0.981127 | − | 0.193364i | \(-0.938060\pi\) |
−0.323105 | + | 0.946363i | \(0.604727\pi\) | |||||||
\(308\) | −6.70693 | + | 3.61113i | −0.382163 | + | 0.205763i | ||||
\(309\) | 15.3950 | + | 2.87801i | 0.875790 | + | 0.163724i | ||||
\(310\) | 13.8448 | + | 0.205548i | 0.786332 | + | 0.0116743i | ||||
\(311\) | 24.3635 | − | 20.4434i | 1.38153 | − | 1.15924i | 0.412883 | − | 0.910784i | \(-0.364522\pi\) |
0.968644 | − | 0.248454i | \(-0.0799226\pi\) | |||||||
\(312\) | −0.196684 | + | 0.842492i | −0.0111350 | + | 0.0476967i | ||||
\(313\) | 10.2095 | − | 3.71596i | 0.577076 | − | 0.210039i | −0.0369595 | − | 0.999317i | \(-0.511767\pi\) |
0.614036 | + | 0.789278i | \(0.289545\pi\) | |||||||
\(314\) | 2.53681 | − | 13.2349i | 0.143161 | − | 0.746891i | ||||
\(315\) | 1.27121 | − | 6.43314i | 0.0716244 | − | 0.362466i | ||||
\(316\) | −1.22980 | + | 3.09016i | −0.0691816 | + | 0.173835i | ||||
\(317\) | −20.1104 | − | 3.54601i | −1.12951 | − | 0.199164i | −0.422500 | − | 0.906363i | \(-0.638847\pi\) |
−0.707014 | + | 0.707199i | \(0.749958\pi\) | |||||||
\(318\) | 0.914975 | + | 2.72500i | 0.0513092 | + | 0.152811i | ||||
\(319\) | 9.89265 | − | 27.1798i | 0.553882 | − | 1.52178i | ||||
\(320\) | 10.0041 | + | 14.3424i | 0.559246 | + | 0.801765i | ||||
\(321\) | −2.63117 | − | 15.8745i | −0.146857 | − | 0.886029i | ||||
\(322\) | 0.395794 | − | 0.0637461i | 0.0220567 | − | 0.00355243i | ||||
\(323\) | −14.1558 | −0.787652 | ||||||||
\(324\) | −10.0803 | + | 14.9127i | −0.560014 | + | 0.828483i | ||||
\(325\) | 0.0392188 | 0.00217547 | ||||||||
\(326\) | 17.8029 | − | 2.86731i | 0.986011 | − | 0.158806i | ||||
\(327\) | −2.04686 | − | 12.3492i | −0.113192 | − | 0.682914i | ||||
\(328\) | 12.2235 | − | 29.4350i | 0.674931 | − | 1.62527i | ||||
\(329\) | 2.90789 | − | 7.98936i | 0.160317 | − | 0.440468i | ||||
\(330\) | 6.49098 | + | 19.3316i | 0.357317 | + | 1.06417i | ||||
\(331\) | −11.3917 | − | 2.00866i | −0.626144 | − | 0.110406i | −0.148432 | − | 0.988923i | \(-0.547423\pi\) |
−0.477712 | + | 0.878516i | \(0.658534\pi\) | |||||||
\(332\) | 16.6319 | + | 6.61902i | 0.912793 | + | 0.363266i | ||||
\(333\) | −2.54905 | − | 2.22978i | −0.139687 | − | 0.122191i | ||||
\(334\) | 0.276604 | − | 1.44309i | 0.0151351 | − | 0.0789623i | ||||
\(335\) | −13.4579 | + | 4.89826i | −0.735281 | + | 0.267620i | ||||
\(336\) | −4.07315 | − | 5.60441i | −0.222209 | − | 0.305746i | ||||
\(337\) | −13.5389 | + | 11.3605i | −0.737510 | + | 0.618845i | −0.932168 | − | 0.362027i | \(-0.882085\pi\) |
0.194657 | + | 0.980871i | \(0.437641\pi\) | |||||||
\(338\) | 18.3387 | + | 0.272266i | 0.997491 | + | 0.0148093i | ||||
\(339\) | 24.4946 | + | 4.57912i | 1.33036 | + | 0.248704i | ||||
\(340\) | −12.7237 | − | 23.6316i | −0.690037 | − | 1.28160i | ||||
\(341\) | 14.7741 | − | 8.52984i | 0.800063 | − | 0.461917i | ||||
\(342\) | −0.346250 | + | 9.77642i | −0.0187231 | + | 0.528648i | ||||
\(343\) | −0.866025 | − | 0.500000i | −0.0467610 | − | 0.0269975i | ||||
\(344\) | 0.569744 | − | 0.620640i | 0.0307185 | − | 0.0334627i | ||||
\(345\) | 0.0110308 | − | 1.07318i | 0.000593880 | − | 0.0577780i | ||||
\(346\) | −18.0533 | + | 10.0687i | −0.970550 | + | 0.541298i | ||||
\(347\) | 3.57866 | + | 20.2956i | 0.192112 | + | 1.08952i | 0.916471 | + | 0.400100i | \(0.131025\pi\) |
−0.724359 | + | 0.689423i | \(0.757864\pi\) | |||||||
\(348\) | 25.7047 | + | 5.59986i | 1.37792 | + | 0.300184i | ||||
\(349\) | 1.31685 | + | 1.10497i | 0.0704894 | + | 0.0591476i | 0.677352 | − | 0.735659i | \(-0.263128\pi\) |
−0.606862 | + | 0.794807i | \(0.707572\pi\) | |||||||
\(350\) | −0.205429 | + | 0.237568i | −0.0109807 | + | 0.0126985i | ||||
\(351\) | −0.852200 | − | 0.340281i | −0.0454871 | − | 0.0181629i | ||||
\(352\) | 19.6434 | + | 8.84992i | 1.04700 | + | 0.471702i | ||||
\(353\) | −18.0497 | + | 21.5107i | −0.960686 | + | 1.14490i | 0.0286993 | + | 0.999588i | \(0.490863\pi\) |
−0.989386 | + | 0.145313i | \(0.953581\pi\) | |||||||
\(354\) | 7.96038 | + | 0.200037i | 0.423089 | + | 0.0106318i | ||||
\(355\) | −0.343006 | + | 0.0604813i | −0.0182049 | + | 0.00321001i | ||||
\(356\) | −2.85159 | − | 0.590596i | −0.151134 | − | 0.0313015i | ||||
\(357\) | 5.22187 | + | 9.26313i | 0.276371 | + | 0.490257i | ||||
\(358\) | −23.4934 | + | 19.1262i | −1.24166 | + | 1.01085i | ||||
\(359\) | −12.4623 | + | 21.5853i | −0.657734 | + | 1.13923i | 0.323467 | + | 0.946239i | \(0.395152\pi\) |
−0.981201 | + | 0.192989i | \(0.938182\pi\) | |||||||
\(360\) | −16.6318 | + | 8.20929i | −0.876574 | + | 0.432668i | ||||
\(361\) | −6.84171 | − | 11.8502i | −0.360090 | − | 0.623695i | ||||
\(362\) | −14.9448 | − | 5.69208i | −0.785479 | − | 0.299169i | ||||
\(363\) | 4.61121 | + | 3.95073i | 0.242026 | + | 0.207360i | ||||
\(364\) | 0.234961 | − | 0.263703i | 0.0123153 | − | 0.0138218i | ||||
\(365\) | 11.7060 | + | 13.9506i | 0.612718 | + | 0.730208i | ||||
\(366\) | 4.48740 | + | 29.8105i | 0.234560 | + | 1.55822i | ||||
\(367\) | 5.00710 | + | 13.7569i | 0.261368 | + | 0.718104i | 0.999076 | + | 0.0429832i | \(0.0136862\pi\) |
−0.737707 | + | 0.675121i | \(0.764092\pi\) | |||||||
\(368\) | −0.823832 | − | 0.779123i | −0.0429452 | − | 0.0406146i | ||||
\(369\) | 28.9228 | + | 17.5009i | 1.50566 | + | 0.911063i | ||||
\(370\) | −1.14473 | − | 3.29659i | −0.0595118 | − | 0.171382i | ||||
\(371\) | 0.203779 | − | 1.15569i | 0.0105797 | − | 0.0600003i | ||||
\(372\) | 9.49083 | + | 12.2753i | 0.492076 | + | 0.636445i | ||||
\(373\) | −4.89188 | − | 1.78050i | −0.253292 | − | 0.0921908i | 0.212254 | − | 0.977215i | \(-0.431920\pi\) |
−0.465546 | + | 0.885024i | \(0.654142\pi\) | |||||||
\(374\) | −28.3890 | − | 16.9572i | −1.46796 | − | 0.876836i | ||||
\(375\) | 12.5521 | + | 15.2751i | 0.648186 | + | 0.788803i | ||||
\(376\) | −22.9411 | + | 7.21053i | −1.18310 | + | 0.371854i | ||||
\(377\) | 1.34114i | 0.0690722i | ||||||||
\(378\) | 6.52510 | − | 3.37979i | 0.335615 | − | 0.173838i | ||||
\(379\) | − | 37.0304i | − | 1.90213i | −0.308997 | − | 0.951063i | \(-0.599993\pi\) | ||
0.308997 | − | 0.951063i | \(-0.400007\pi\) | |||||||
\(380\) | −5.29699 | + | 8.57616i | −0.271730 | + | 0.439948i | ||||
\(381\) | −6.69157 | + | 17.8131i | −0.342820 | + | 0.912594i | ||||
\(382\) | 12.3299 | − | 20.6422i | 0.630854 | − | 1.05615i | ||||
\(383\) | 23.5859 | + | 8.58457i | 1.20518 | + | 0.438651i | 0.865031 | − | 0.501719i | \(-0.167299\pi\) |
0.340154 | + | 0.940370i | \(0.389521\pi\) | |||||||
\(384\) | −5.57964 | + | 18.7848i | −0.284735 | + | 0.958606i | ||||
\(385\) | 1.44564 | − | 8.19863i | 0.0736766 | − | 0.417841i | ||||
\(386\) | 1.68541 | − | 0.585252i | 0.0857849 | − | 0.0297886i | ||||
\(387\) | 0.560205 | + | 0.696202i | 0.0284768 | + | 0.0353899i | ||||
\(388\) | −20.3238 | + | 16.0501i | −1.03179 | + | 0.814822i | ||||
\(389\) | 3.70320 | + | 10.1745i | 0.187760 | + | 0.515866i | 0.997480 | − | 0.0709505i | \(-0.0226032\pi\) |
−0.809720 | + | 0.586816i | \(0.800381\pi\) | |||||||
\(390\) | −0.589392 | − | 0.739363i | −0.0298450 | − | 0.0374391i | ||||
\(391\) | 1.11867 | + | 1.33318i | 0.0565736 | + | 0.0674218i | ||||
\(392\) | 0.366651 | + | 2.80456i | 0.0185187 | + | 0.141652i | ||||
\(393\) | 9.96474 | − | 3.51131i | 0.502655 | − | 0.177122i | ||||
\(394\) | −10.7524 | + | 28.2308i | −0.541699 | + | 1.42225i | ||||
\(395\) | −1.81747 | − | 3.14795i | −0.0914468 | − | 0.158390i | ||||
\(396\) | −12.4055 | + | 19.1914i | −0.623400 | + | 0.964406i | ||||
\(397\) | 0.983315 | − | 1.70315i | 0.0493512 | − | 0.0854788i | −0.840295 | − | 0.542130i | \(-0.817618\pi\) |
0.889646 | + | 0.456651i | \(0.150951\pi\) | |||||||
\(398\) | 9.24933 | + | 11.3613i | 0.463627 | + | 0.569488i | ||||
\(399\) | 2.03230 | − | 3.43795i | 0.101742 | − | 0.172113i | ||||
\(400\) | 0.886757 | + | 0.0527193i | 0.0443378 | + | 0.00263597i | ||||
\(401\) | 36.8083 | − | 6.49030i | 1.83812 | − | 0.324110i | 0.856676 | − | 0.515854i | \(-0.172525\pi\) |
0.981445 | + | 0.191744i | \(0.0614144\pi\) | |||||||
\(402\) | −13.6928 | − | 8.37109i | −0.682936 | − | 0.417512i | ||||
\(403\) | −0.508454 | + | 0.605952i | −0.0253279 | + | 0.0301846i | ||||
\(404\) | −25.8135 | + | 3.76525i | −1.28427 | + | 0.187328i | ||||
\(405\) | −5.96293 | − | 18.7471i | −0.296300 | − | 0.931552i | ||||
\(406\) | −8.12395 | − | 7.02493i | −0.403185 | − | 0.348642i | ||||
\(407\) | −3.29365 | − | 2.76370i | −0.163260 | − | 0.136991i | ||||
\(408\) | 11.8197 | − | 27.6565i | 0.585163 | − | 1.36920i | ||||
\(409\) | 3.93598 | + | 22.3220i | 0.194622 | + | 1.10375i | 0.912957 | + | 0.408057i | \(0.133793\pi\) |
−0.718335 | + | 0.695697i | \(0.755095\pi\) | |||||||
\(410\) | 16.9671 | + | 30.4221i | 0.837947 | + | 1.50244i | ||||
\(411\) | −29.9043 | − | 17.6776i | −1.47507 | − | 0.871970i | ||||
\(412\) | −0.536869 | + | 18.0766i | −0.0264497 | + | 0.890570i | ||||
\(413\) | −2.81531 | − | 1.62542i | −0.138532 | − | 0.0799816i | ||||
\(414\) | 0.948094 | − | 0.739976i | 0.0465963 | − | 0.0363678i | ||||
\(415\) | −16.9429 | + | 9.78198i | −0.831693 | + | 0.480178i | ||||
\(416\) | −0.996233 | − | 0.0740839i | −0.0488443 | − | 0.00363226i | ||||
\(417\) | 9.75158 | + | 27.6740i | 0.477537 | + | 1.35520i | ||||
\(418\) | −0.184366 | + | 12.4181i | −0.00901762 | + | 0.607387i | ||||
\(419\) | −8.17538 | + | 6.85996i | −0.399393 | + | 0.335131i | −0.820259 | − | 0.571992i | \(-0.806171\pi\) |
0.420866 | + | 0.907123i | \(0.361726\pi\) | |||||||
\(420\) | 7.56594 | + | 0.302566i | 0.369180 | + | 0.0147637i | ||||
\(421\) | −18.5983 | + | 6.76921i | −0.906424 | + | 0.329911i | −0.752824 | − | 0.658222i | \(-0.771309\pi\) |
−0.153600 | + | 0.988133i | \(0.549087\pi\) | |||||||
\(422\) | −11.4559 | − | 2.19582i | −0.557667 | − | 0.106891i | ||||
\(423\) | −3.91187 | − | 25.2045i | −0.190201 | − | 1.22549i | ||||
\(424\) | −2.94555 | + | 1.52998i | −0.143049 | + | 0.0743022i | ||||
\(425\) | −1.34271 | − | 0.236756i | −0.0651310 | − | 0.0114843i | ||||
\(426\) | −0.292596 | − | 0.258317i | −0.0141763 | − | 0.0125155i | ||||
\(427\) | 4.20931 | − | 11.5650i | 0.203703 | − | 0.559669i | ||||
\(428\) | 17.6408 | − | 5.83374i | 0.852701 | − | 0.281985i | ||||
\(429\) | −1.09056 | − | 0.409674i | −0.0526528 | − | 0.0197792i | ||||
\(430\) | 0.146414 | + | 0.909069i | 0.00706069 | + | 0.0438392i | ||||
\(431\) | 8.83068 | 0.425359 | 0.212680 | − | 0.977122i | \(-0.431781\pi\) | ||||
0.212680 | + | 0.977122i | \(0.431781\pi\) | |||||||
\(432\) | −18.8113 | − | 8.83949i | −0.905057 | − | 0.425290i | ||||
\(433\) | 12.8952 | 0.619706 | 0.309853 | − | 0.950785i | \(-0.399720\pi\) | ||||
0.309853 | + | 0.950785i | \(0.399720\pi\) | |||||||
\(434\) | −1.00725 | − | 6.25395i | −0.0483497 | − | 0.300199i | ||||
\(435\) | −22.2142 | + | 18.2542i | −1.06509 | + | 0.875221i | ||||
\(436\) | 13.7233 | − | 4.53823i | 0.657226 | − | 0.217342i | ||||
\(437\) | 0.223554 | − | 0.614210i | 0.0106940 | − | 0.0293816i | ||||
\(438\) | −4.04753 | + | 20.0024i | −0.193399 | + | 0.955750i | ||||
\(439\) | 19.6785 | + | 3.46985i | 0.939204 | + | 0.165607i | 0.622237 | − | 0.782829i | \(-0.286224\pi\) |
0.316968 | + | 0.948436i | \(0.397335\pi\) | |||||||
\(440\) | −20.8962 | + | 10.8539i | −0.996189 | + | 0.517440i | ||||
\(441\) | −2.99937 | − | 0.0616654i | −0.142827 | − | 0.00293645i | ||||
\(442\) | 1.50586 | + | 0.288636i | 0.0716263 | + | 0.0137290i | ||||
\(443\) | −4.66514 | + | 1.69797i | −0.221648 | + | 0.0806731i | −0.450457 | − | 0.892798i | \(-0.648739\pi\) |
0.228809 | + | 0.973471i | \(0.426517\pi\) | |||||||
\(444\) | 2.08906 | − | 3.30584i | 0.0991425 | − | 0.156888i | ||||
\(445\) | 2.43809 | − | 2.04580i | 0.115577 | − | 0.0969804i | ||||
\(446\) | 0.152576 | − | 10.2769i | 0.00722470 | − | 0.486624i | ||||
\(447\) | 10.9468 | − | 12.7768i | 0.517765 | − | 0.604324i | ||||
\(448\) | 5.66706 | − | 5.64663i | 0.267744 | − | 0.266778i | ||||
\(449\) | 1.65970 | − | 0.958226i | 0.0783259 | − | 0.0452215i | −0.460326 | − | 0.887750i | \(-0.652267\pi\) |
0.538651 | + | 0.842529i | \(0.318934\pi\) | |||||||
\(450\) | −0.196353 | + | 0.921521i | −0.00925615 | + | 0.0434409i | ||||
\(451\) | 37.1678 | + | 21.4588i | 1.75016 | + | 1.01046i | ||||
\(452\) | −0.854199 | + | 28.7612i | −0.0401782 | + | 1.35281i | ||||
\(453\) | 33.1201 | − | 18.6707i | 1.55612 | − | 0.877225i | ||||
\(454\) | −10.4651 | − | 18.7640i | −0.491153 | − | 0.880640i | ||||
\(455\) | 0.0670306 | + | 0.380149i | 0.00314244 | + | 0.0178217i | ||||
\(456\) | −11.2151 | + | 1.34910i | −0.525194 | + | 0.0631773i | ||||
\(457\) | −29.7730 | − | 24.9826i | −1.39272 | − | 1.16863i | −0.964223 | − | 0.265094i | \(-0.914597\pi\) |
−0.428502 | − | 0.903541i | \(-0.640958\pi\) | |||||||
\(458\) | 13.3555 | + | 11.5488i | 0.624062 | + | 0.539638i | ||||
\(459\) | 27.1220 | + | 16.7946i | 1.26595 | + | 0.783903i | ||||
\(460\) | 1.22629 | − | 0.178871i | 0.0571760 | − | 0.00833989i | ||||
\(461\) | −7.39837 | + | 8.81703i | −0.344576 | + | 0.410650i | −0.910303 | − | 0.413943i | \(-0.864151\pi\) |
0.565727 | + | 0.824593i | \(0.308596\pi\) | |||||||
\(462\) | 8.19399 | − | 4.46018i | 0.381219 | − | 0.207507i | ||||
\(463\) | −37.1225 | + | 6.54569i | −1.72523 | + | 0.304204i | −0.946391 | − | 0.323023i | \(-0.895301\pi\) |
−0.778837 | + | 0.627227i | \(0.784190\pi\) | |||||||
\(464\) | −1.80281 | + | 30.3238i | −0.0836933 | + | 1.40775i | ||||
\(465\) | −16.9573 | − | 0.174299i | −0.786377 | − | 0.00808290i | ||||
\(466\) | −18.3880 | − | 22.5866i | −0.851808 | − | 1.04630i | ||||
\(467\) | −6.44932 | + | 11.1706i | −0.298439 | + | 0.516911i | −0.975779 | − | 0.218759i | \(-0.929799\pi\) |
0.677340 | + | 0.735670i | \(0.263133\pi\) | |||||||
\(468\) | 0.236173 | − | 1.03293i | 0.0109171 | − | 0.0477470i | ||||
\(469\) | 3.27597 | + | 5.67415i | 0.151270 | + | 0.262008i | ||||
\(470\) | 9.35466 | − | 24.5610i | 0.431498 | − | 1.13291i | ||||
\(471\) | −3.03288 | + | 16.2234i | −0.139748 | + | 0.747537i | ||||
\(472\) | 1.19192 | + | 9.11718i | 0.0548627 | + | 0.419652i | ||||
\(473\) | 0.729225 | + | 0.869056i | 0.0335298 | + | 0.0399593i | ||||
\(474\) | 1.48889 | − | 3.79150i | 0.0683869 | − | 0.174150i | ||||
\(475\) | 0.175137 | + | 0.481185i | 0.00803584 | + | 0.0220783i | ||||
\(476\) | −9.63613 | + | 7.60984i | −0.441671 | + | 0.348797i | ||||
\(477\) | −1.13584 | − | 3.33228i | −0.0520066 | − | 0.152575i | ||||
\(478\) | 29.7202 | − | 10.3203i | 1.35937 | − | 0.472038i | ||||
\(479\) | 4.47199 | − | 25.3619i | 0.204330 | − | 1.15882i | −0.694160 | − | 0.719821i | \(-0.744224\pi\) |
0.898490 | − | 0.438994i | \(-0.144665\pi\) | |||||||
\(480\) | −12.3326 | − | 17.5097i | −0.562902 | − | 0.799203i | ||||
\(481\) | 0.187336 | + | 0.0681848i | 0.00854179 | + | 0.00310896i | ||||
\(482\) | 11.6591 | − | 19.5191i | 0.531058 | − | 0.889072i | ||||
\(483\) | −0.484385 | + | 0.0802858i | −0.0220403 | + | 0.00365313i | ||||
\(484\) | −3.68450 | + | 5.96544i | −0.167477 | + | 0.271156i | ||||
\(485\) | − | 28.3036i | − | 1.28520i | ||||||
\(486\) | 12.2622 | − | 18.3204i | 0.556225 | − | 0.831032i | ||||
\(487\) | 40.0991i | 1.81706i | 0.417817 | + | 0.908531i | \(0.362795\pi\) | ||||
−0.417817 | + | 0.908531i | \(0.637205\pi\) | |||||||
\(488\) | −33.2083 | + | 10.4376i | −1.50327 | + | 0.472487i | ||||
\(489\) | −21.7877 | + | 3.61127i | −0.985276 | + | 0.163307i | ||||
\(490\) | −2.65386 | − | 1.58520i | −0.119889 | − | 0.0716119i | ||||
\(491\) | 0.150560 | + | 0.0547994i | 0.00679468 | + | 0.00247306i | 0.345415 | − | 0.938450i | \(-0.387738\pi\) |
−0.338621 | + | 0.940923i | \(0.609960\pi\) | |||||||
\(492\) | −14.8059 | + | 36.1183i | −0.667501 | + | 1.62834i | ||||
\(493\) | 8.09619 | − | 45.9158i | 0.364634 | − | 2.06794i | ||||
\(494\) | −0.188900 | − | 0.543992i | −0.00849901 | − | 0.0244754i | ||||
\(495\) | −8.05785 | − | 23.6398i | −0.362173 | − | 1.06253i | ||||
\(496\) | −12.3109 | + | 13.0174i | −0.552777 | + | 0.584498i | ||||
\(497\) | 0.0544983 | + | 0.149733i | 0.00244458 | + | 0.00671644i | ||||
\(498\) | −20.4066 | − | 8.01350i | −0.914443 | − | 0.359093i | ||||
\(499\) | −16.6077 | − | 19.7923i | −0.743463 | − | 0.886025i | 0.253220 | − | 0.967409i | \(-0.418510\pi\) |
−0.996683 | + | 0.0813840i | \(0.974066\pi\) | |||||||
\(500\) | −15.1871 | + | 17.0449i | −0.679188 | + | 0.762273i | ||||
\(501\) | −0.330694 | + | 1.76894i | −0.0147743 | + | 0.0790306i | ||||
\(502\) | 30.2852 | + | 11.5349i | 1.35170 | + | 0.514827i | ||||
\(503\) | 9.95792 | + | 17.2476i | 0.444002 | + | 0.769034i | 0.997982 | − | 0.0634960i | \(-0.0202250\pi\) |
−0.553980 | + | 0.832530i | \(0.686892\pi\) | |||||||
\(504\) | 5.01987 | + | 6.84112i | 0.223603 | + | 0.304728i | ||||
\(505\) | 14.2554 | − | 24.6910i | 0.634356 | − | 1.09874i | ||||
\(506\) | 1.18409 | − | 0.963978i | 0.0526391 | − | 0.0428541i | ||||
\(507\) | −22.4615 | − | 0.230874i | −0.997548 | − | 0.0102535i | ||||
\(508\) | −21.5156 | − | 4.45613i | −0.954601 | − | 0.197709i | ||||
\(509\) | −30.5016 | + | 5.37826i | −1.35196 | + | 0.238387i | −0.802260 | − | 0.596975i | \(-0.796369\pi\) |
−0.549700 | + | 0.835362i | \(0.685258\pi\) | |||||||
\(510\) | 15.7153 | + | 28.8712i | 0.695883 | + | 1.27844i | ||||
\(511\) | 5.35534 | − | 6.38225i | 0.236906 | − | 0.282334i | ||||
\(512\) | −22.4258 | − | 3.01425i | −0.991088 | − | 0.133212i | ||||
\(513\) | 0.369378 | − | 11.9754i | 0.0163084 | − | 0.528728i | ||||
\(514\) | −6.06194 | + | 7.01031i | −0.267381 | + | 0.309211i | ||||
\(515\) | −15.1409 | − | 12.7047i | −0.667187 | − | 0.559836i | ||||
\(516\) | −0.694312 | + | 0.763304i | −0.0305654 | + | 0.0336026i | ||||
\(517\) | −5.62299 | − | 31.8895i | −0.247299 | − | 1.40250i | ||||
\(518\) | −1.39430 | + | 0.777634i | −0.0612621 | + | 0.0341673i | ||||
\(519\) | 22.0541 | − | 12.4325i | 0.968067 | − | 0.545725i | ||||
\(520\) | 0.738344 | − | 0.804302i | 0.0323785 | − | 0.0352710i | ||||
\(521\) | −10.5056 | − | 6.06544i | −0.460261 | − | 0.265732i | 0.251893 | − | 0.967755i | \(-0.418947\pi\) |
−0.712154 | + | 0.702023i | \(0.752280\pi\) | |||||||
\(522\) | −31.5127 | − | 6.71455i | −1.37927 | − | 0.293888i | ||||
\(523\) | −18.0467 | + | 10.4193i | −0.789128 | + | 0.455604i | −0.839656 | − | 0.543119i | \(-0.817243\pi\) |
0.0505272 | + | 0.998723i | \(0.483910\pi\) | |||||||
\(524\) | 5.78354 | + | 10.7417i | 0.252655 | + | 0.469254i | ||||
\(525\) | 0.250267 | − | 0.292106i | 0.0109225 | − | 0.0127485i | ||||
\(526\) | 31.3140 | + | 0.464905i | 1.36535 | + | 0.0202708i | ||||
\(527\) | 21.0656 | − | 17.6762i | 0.917633 | − | 0.769986i | ||||
\(528\) | −24.1074 | − | 10.7289i | −1.04914 | − | 0.466916i | ||||
\(529\) | 21.5374 | − | 7.83898i | 0.936409 | − | 0.340825i | ||||
\(530\) | 0.682896 | − | 3.56277i | 0.0296631 | − | 0.154757i | ||||
\(531\) | −9.75045 | − | 0.200464i | −0.423134 | − | 0.00869941i | ||||
\(532\) | 4.28470 | + | 1.70519i | 0.185765 | + | 0.0739293i | ||||
\(533\) | −1.95975 | − | 0.345557i | −0.0848862 | − | 0.0149677i | ||||
\(534\) | 3.49573 | + | 0.707371i | 0.151275 | + | 0.0306109i | ||||
\(535\) | −6.94538 | + | 19.0823i | −0.300275 | + | 0.824998i | ||||
\(536\) | 7.10724 | − | 17.1147i | 0.306986 | − | 0.739241i | ||||
\(537\) | 28.6661 | − | 23.5559i | 1.23704 | − | 1.01651i | ||||
\(538\) | 24.6514 | − | 3.97032i | 1.06280 | − | 0.171173i | ||||
\(539\) | −3.80865 | −0.164050 | ||||||||
\(540\) | 20.3236 | − | 10.1472i | 0.874589 | − | 0.436667i | ||||
\(541\) | 11.3240 | 0.486856 | 0.243428 | − | 0.969919i | \(-0.421728\pi\) | ||||
0.243428 | + | 0.969919i | \(0.421728\pi\) | |||||||
\(542\) | 11.5872 | − | 1.86622i | 0.497712 | − | 0.0801608i | ||||
\(543\) | 18.3352 | + | 6.88768i | 0.786837 | + | 0.295579i | ||||
\(544\) | 33.6602 | + | 8.55042i | 1.44317 | + | 0.366596i | ||||
\(545\) | −5.40301 | + | 14.8446i | −0.231439 | + | 0.635875i | ||||
\(546\) | −0.286289 | + | 0.324280i | −0.0122520 | + | 0.0138779i | ||||
\(547\) | −9.15710 | − | 1.61464i | −0.391529 | − | 0.0690372i | −0.0255819 | − | 0.999673i | \(-0.508144\pi\) |
−0.365947 | + | 0.930636i | \(0.619255\pi\) | |||||||
\(548\) | 14.8323 | − | 37.2696i | 0.633603 | − | 1.59208i | ||||
\(549\) | −5.66261 | − | 36.4848i | −0.241674 | − | 1.55713i | ||||
\(550\) | −0.225179 | + | 1.17479i | −0.00960166 | + | 0.0500933i | ||||
\(551\) | −16.4548 | + | 5.98905i | −0.700997 | + | 0.255142i | ||||
\(552\) | 1.01333 | + | 0.949608i | 0.0431302 | + | 0.0404180i | ||||
\(553\) | −1.27389 | + | 1.06892i | −0.0541713 | + | 0.0454551i | ||||
\(554\) | −8.17830 | − | 0.121420i | −0.347463 | − | 0.00515863i | ||||
\(555\) | 1.42043 | + | 4.03104i | 0.0602939 | + | 0.171108i | ||||
\(556\) | −29.8318 | + | 16.0620i | −1.26515 | + | 0.681180i | ||||
\(557\) | −24.7086 | + | 14.2655i | −1.04694 | + | 0.604448i | −0.921790 | − | 0.387690i | \(-0.873273\pi\) |
−0.125146 | + | 0.992138i | \(0.539940\pi\) | |||||||
\(558\) | −11.6924 | − | 14.9809i | −0.494978 | − | 0.634191i | ||||
\(559\) | −0.0455552 | − | 0.0263013i | −0.00192678 | − | 0.00111243i | ||||
\(560\) | 1.00459 | + | 8.68548i | 0.0424515 | + | 0.367028i | ||||
\(561\) | 34.8637 | + | 20.6092i | 1.47195 | + | 0.870123i | ||||
\(562\) | −20.5176 | + | 11.4432i | −0.865484 | + | 0.482701i | ||||
\(563\) | −5.22300 | − | 29.6211i | −0.220123 | − | 1.24838i | −0.871792 | − | 0.489877i | \(-0.837042\pi\) |
0.651668 | − | 0.758504i | \(-0.274069\pi\) | |||||||
\(564\) | 28.0564 | − | 8.95929i | 1.18139 | − | 0.377254i | ||||
\(565\) | −24.0903 | − | 20.2142i | −1.01349 | − | 0.850416i | ||||
\(566\) | 24.8968 | − | 28.7918i | 1.04649 | − | 1.21021i | ||||
\(567\) | −7.97260 | + | 4.17584i | −0.334818 | + | 0.175369i | ||||
\(568\) | 0.242498 | − | 0.379888i | 0.0101750 | − | 0.0159397i | ||||
\(569\) | −15.2708 | + | 18.1990i | −0.640184 | + | 0.762942i | −0.984399 | − | 0.175949i | \(-0.943701\pi\) |
0.344215 | + | 0.938891i | \(0.388145\pi\) | |||||||
\(570\) | 6.43942 | − | 10.5331i | 0.269718 | − | 0.441184i | ||||
\(571\) | −1.38001 | + | 0.243333i | −0.0577515 | + | 0.0101831i | −0.202449 | − | 0.979293i | \(-0.564890\pi\) |
0.144698 | + | 0.989476i | \(0.453779\pi\) | |||||||
\(572\) | 0.272815 | − | 1.31724i | 0.0114070 | − | 0.0550764i | ||||
\(573\) | −14.9854 | + | 25.3501i | −0.626024 | + | 1.05902i | ||||
\(574\) | 12.3584 | − | 10.0611i | 0.515831 | − | 0.419944i | ||||
\(575\) | 0.0314772 | − | 0.0545200i | 0.00131269 | − | 0.00227364i | ||||
\(576\) | 6.72849 | − | 23.0375i | 0.280354 | − | 0.959897i | ||||
\(577\) | −0.778077 | − | 1.34767i | −0.0323918 | − | 0.0561042i | 0.849375 | − | 0.527790i | \(-0.176979\pi\) |
−0.881767 | + | 0.471686i | \(0.843646\pi\) | |||||||
\(578\) | −27.3455 | − | 10.4152i | −1.13742 | − | 0.433215i | ||||
\(579\) | −2.06090 | + | 0.726205i | −0.0856479 | + | 0.0301800i | ||||
\(580\) | −24.7880 | − | 22.0862i | −1.02927 | − | 0.917081i | ||||
\(581\) | 5.75314 | + | 6.85632i | 0.238680 | + | 0.284448i | ||||
\(582\) | 24.8015 | − | 19.7708i | 1.02805 | − | 0.819526i | ||||
\(583\) | −1.52866 | − | 4.19996i | −0.0633106 | − | 0.173944i | ||||
\(584\) | −23.5415 | − | 1.04915i | −0.974154 | − | 0.0434141i | ||||
\(585\) | 0.725983 | + | 0.902225i | 0.0300157 | + | 0.0373024i | ||||
\(586\) | 15.1960 | + | 43.7614i | 0.627741 | + | 1.80777i | ||||
\(587\) | 4.45061 | − | 25.2406i | 0.183696 | − | 1.04179i | −0.743923 | − | 0.668265i | \(-0.767037\pi\) |
0.927619 | − | 0.373527i | \(-0.121852\pi\) | |||||||
\(588\) | −0.464737 | − | 3.43279i | −0.0191654 | − | 0.141566i | ||||
\(589\) | −9.70515 | − | 3.53238i | −0.399894 | − | 0.145549i | ||||
\(590\) | −8.62728 | − | 5.15322i | −0.355179 | − | 0.212155i | ||||
\(591\) | 13.0109 | − | 34.6354i | 0.535198 | − | 1.42471i | ||||
\(592\) | 4.14411 | + | 1.79352i | 0.170322 | + | 0.0737131i | ||||
\(593\) | 44.3021i | 1.81927i | 0.415410 | + | 0.909634i | \(0.363638\pi\) | ||||
−0.415410 | + | 0.909634i | \(0.636362\pi\) | |||||||
\(594\) | 15.0861 | − | 23.5738i | 0.618989 | − | 0.967243i | ||||
\(595\) | − | 13.4196i | − | 0.550150i | ||||||
\(596\) | 16.5292 | + | 10.2091i | 0.677062 | + | 0.418181i | ||||
\(597\) | −11.3915 | − | 13.8628i | −0.466223 | − | 0.567365i | ||||
\(598\) | −0.0363047 | + | 0.0607796i | −0.00148461 | + | 0.00248546i | ||||
\(599\) | −21.2864 | − | 7.74763i | −0.869740 | − | 0.316559i | −0.131678 | − | 0.991293i | \(-0.542037\pi\) |
−0.738062 | + | 0.674733i | \(0.764259\pi\) | |||||||
\(600\) | −1.08633 | − | 0.0596068i | −0.0443494 | − | 0.00243344i | ||||
\(601\) | −0.527176 | + | 2.98977i | −0.0215040 | + | 0.121955i | −0.993670 | − | 0.112337i | \(-0.964166\pi\) |
0.972166 | + | 0.234293i | \(0.0752774\pi\) | |||||||
\(602\) | 0.397939 | − | 0.138183i | 0.0162188 | − | 0.00563193i | ||||
\(603\) | 16.8169 | + | 10.1757i | 0.684835 | + | 0.414388i | ||||
\(604\) | 27.2088 | + | 34.4538i | 1.10711 | + | 1.40190i | ||||
\(605\) | −2.62093 | − | 7.20096i | −0.106556 | − | 0.292761i | ||||
\(606\) | 31.5936 | − | 4.75582i | 1.28340 | − | 0.193192i | ||||
\(607\) | 18.2084 | + | 21.7000i | 0.739058 | + | 0.880775i | 0.996333 | − | 0.0855633i | \(-0.0272690\pi\) |
−0.257275 | + | 0.966338i | \(0.582825\pi\) | |||||||
\(608\) | −3.53987 | − | 12.5539i | −0.143561 | − | 0.509127i | ||||
\(609\) | 9.98896 | + | 8.55822i | 0.404773 | + | 0.346796i | ||||
\(610\) | 13.5413 | − | 35.5532i | 0.548272 | − | 1.43951i | ||||
\(611\) | 0.750723 | + | 1.30029i | 0.0303710 | + | 0.0526041i | ||||
\(612\) | −14.3213 | + | 33.9379i | −0.578903 | + | 1.37186i | ||||
\(613\) | −9.79418 | + | 16.9640i | −0.395583 | + | 0.685170i | −0.993175 | − | 0.116630i | \(-0.962791\pi\) |
0.597592 | + | 0.801800i | \(0.296124\pi\) | |||||||
\(614\) | 23.5600 | + | 28.9395i | 0.950804 | + | 1.16790i | ||||
\(615\) | −20.9504 | − | 37.1641i | −0.844800 | − | 1.49860i | ||||
\(616\) | 6.55015 | + | 8.55230i | 0.263913 | + | 0.344582i | ||||
\(617\) | −10.1893 | + | 1.79665i | −0.410207 | + | 0.0723305i | −0.374944 | − | 0.927048i | \(-0.622338\pi\) |
−0.0352630 | + | 0.999378i | \(0.511227\pi\) | |||||||
\(618\) | 0.556407 | − | 22.1420i | 0.0223820 | − | 0.890681i | ||||
\(619\) | 6.67445 | − | 7.95429i | 0.268269 | − | 0.319710i | −0.615046 | − | 0.788492i | \(-0.710862\pi\) |
0.883314 | + | 0.468781i | \(0.155307\pi\) | |||||||
\(620\) | −2.82634 | − | 19.3766i | −0.113509 | − | 0.778184i | ||||
\(621\) | −1.15702 | + | 0.911576i | −0.0464297 | + | 0.0365803i | ||||
\(622\) | −34.0222 | − | 29.4196i | −1.36417 | − | 1.17962i | ||||
\(623\) | −1.11540 | − | 0.935932i | −0.0446876 | − | 0.0374973i | ||||
\(624\) | 1.22053 | + | 0.0851604i | 0.0488604 | + | 0.00340915i | ||||
\(625\) | −4.13982 | − | 23.4781i | −0.165593 | − | 0.939124i | ||||
\(626\) | −7.48416 | − | 13.4191i | −0.299127 | − | 0.536336i | ||||
\(627\) | 0.156336 | − | 15.2098i | 0.00624348 | − | 0.607422i | ||||
\(628\) | −19.0494 | − | 0.565760i | −0.760152 | − | 0.0225763i | ||||
\(629\) | −6.00209 | − | 3.46531i | −0.239319 | − | 0.138171i | ||||
\(630\) | −9.26795 | − | 0.328242i | −0.369244 | − | 0.0130775i | ||||
\(631\) | 13.6242 | − | 7.86596i | 0.542372 | − | 0.313139i | −0.203668 | − | 0.979040i | \(-0.565286\pi\) |
0.746040 | + | 0.665901i | \(0.231953\pi\) | |||||||
\(632\) | 4.59110 | + | 1.02217i | 0.182624 | + | 0.0406599i | ||||
\(633\) | 14.0427 | + | 2.62521i | 0.558149 | + | 0.104343i | ||||
\(634\) | −0.428710 | + | 28.8760i | −0.0170262 | + | 1.14681i | ||||
\(635\) | 18.3958 | − | 15.4359i | 0.730013 | − | 0.612554i | ||||
\(636\) | 3.59895 | − | 1.89029i | 0.142708 | − | 0.0749548i | ||||
\(637\) | 0.165947 | − | 0.0603998i | 0.00657506 | − | 0.00239313i | ||||
\(638\) | −40.1736 | − | 7.70030i | −1.59049 | − | 0.304858i | ||||
\(639\) | 0.359797 | + | 0.314732i | 0.0142333 | + | 0.0124506i | ||||
\(640\) | 17.7755 | − | 17.1932i | 0.702639 | − | 0.679619i | ||||
\(641\) | 30.4646 | + | 5.37173i | 1.20328 | + | 0.212171i | 0.739115 | − | 0.673579i | \(-0.235244\pi\) |
0.464164 | + | 0.885750i | \(0.346355\pi\) | |||||||
\(642\) | −21.5726 | + | 7.24345i | −0.851404 | + | 0.285876i | ||||
\(643\) | −16.3309 | + | 44.8688i | −0.644028 | + | 1.76945i | −0.00534211 | + | 0.999986i | \(0.501700\pi\) |
−0.638686 | + | 0.769467i | \(0.720522\pi\) | |||||||
\(644\) | −0.178007 | − | 0.538281i | −0.00701446 | − | 0.0212112i | ||||
\(645\) | −0.184402 | − | 1.11255i | −0.00726084 | − | 0.0438065i | ||||
\(646\) | 3.18328 | + | 19.7647i | 0.125244 | + | 0.777631i | ||||
\(647\) | −1.37617 | −0.0541026 | −0.0270513 | − | 0.999634i | \(-0.508612\pi\) | ||||
−0.0270513 | + | 0.999634i | \(0.508612\pi\) | |||||||
\(648\) | 23.0882 | + | 10.7208i | 0.906990 | + | 0.421152i | ||||
\(649\) | −12.3813 | −0.486008 | ||||||||
\(650\) | −0.00881927 | − | 0.0547581i | −0.000345920 | − | 0.00214779i | ||||
\(651\) | 1.26860 | + | 7.65378i | 0.0497203 | + | 0.299975i | ||||
\(652\) | −8.00680 | − | 24.2120i | −0.313571 | − | 0.948215i | ||||
\(653\) | −5.32442 | + | 14.6287i | −0.208361 | + | 0.572467i | −0.999218 | − | 0.0395339i | \(-0.987413\pi\) |
0.790857 | + | 0.612000i | \(0.209635\pi\) | |||||||
\(654\) | −16.7820 | + | 5.63488i | −0.656227 | + | 0.220341i | ||||
\(655\) | −13.1308 | − | 2.31532i | −0.513063 | − | 0.0904669i | ||||
\(656\) | −43.8464 | − | 10.4476i | −1.71192 | − | 0.407910i | ||||
\(657\) | 4.84526 | − | 24.5202i | 0.189031 | − | 0.956623i | ||||
\(658\) | −11.8088 | − | 2.26346i | −0.460356 | − | 0.0882388i | ||||
\(659\) | 13.4743 | − | 4.90425i | 0.524885 | − | 0.191043i | −0.0659679 | − | 0.997822i | \(-0.521013\pi\) |
0.590853 | + | 0.806779i | \(0.298791\pi\) | |||||||
\(660\) | 25.5316 | − | 13.4100i | 0.993815 | − | 0.521984i | ||||
\(661\) | −25.7146 | + | 21.5771i | −1.00018 | + | 0.839252i | −0.987010 | − | 0.160661i | \(-0.948637\pi\) |
−0.0131721 | + | 0.999913i | \(0.504193\pi\) | |||||||
\(662\) | −0.242846 | + | 16.3570i | −0.00943847 | + | 0.635734i | ||||
\(663\) | −1.84589 | − | 0.345078i | −0.0716883 | − | 0.0134017i | ||||
\(664\) | 5.50154 | − | 24.7102i | 0.213501 | − | 0.958942i | ||||
\(665\) | −4.36482 | + | 2.52003i | −0.169260 | + | 0.0977225i | ||||
\(666\) | −2.54005 | + | 4.06045i | −0.0984250 | + | 0.157339i | ||||
\(667\) | 1.86439 | + | 1.07640i | 0.0721894 | + | 0.0416785i | ||||
\(668\) | −2.07707 | − | 0.0616884i | −0.0803643 | − | 0.00238680i | ||||
\(669\) | −0.129380 | + | 12.5873i | −0.00500213 | + | 0.486652i | ||||
\(670\) | 9.86536 | + | 17.6886i | 0.381132 | + | 0.683372i | ||||
\(671\) | −8.13954 | − | 46.1616i | −0.314223 | − | 1.78205i | ||||
\(672\) | −6.90905 | + | 6.94730i | −0.266522 | + | 0.267998i | ||||
\(673\) | −9.43320 | − | 7.91539i | −0.363623 | − | 0.305116i | 0.442610 | − | 0.896714i | \(-0.354053\pi\) |
−0.806233 | + | 0.591598i | \(0.798497\pi\) | |||||||
\(674\) | 18.9063 | + | 16.3486i | 0.728242 | + | 0.629725i | ||||
\(675\) | 0.235325 | − | 1.12972i | 0.00905766 | − | 0.0434828i | ||||
\(676\) | −3.74373 | − | 25.6660i | −0.143990 | − | 0.987155i | ||||
\(677\) | −5.46389 | + | 6.51161i | −0.209994 | + | 0.250262i | −0.860753 | − | 0.509023i | \(-0.830007\pi\) |
0.650758 | + | 0.759285i | \(0.274451\pi\) | |||||||
\(678\) | 0.885286 | − | 35.2296i | 0.0339992 | − | 1.35298i | ||||
\(679\) | −12.7519 | + | 2.24850i | −0.489373 | + | 0.0862896i | ||||
\(680\) | −30.1336 | + | 23.0791i | −1.15557 | + | 0.885045i | ||||
\(681\) | 12.9219 | + | 22.9224i | 0.495170 | + | 0.878388i | ||||
\(682\) | −15.2319 | − | 18.7098i | −0.583258 | − | 0.716435i | ||||
\(683\) | −23.3781 | + | 40.4920i | −0.894536 | + | 1.54938i | −0.0601592 | + | 0.998189i | \(0.519161\pi\) |
−0.834377 | + | 0.551194i | \(0.814172\pi\) | |||||||
\(684\) | 13.7279 | − | 1.71502i | 0.524900 | − | 0.0655753i | ||||
\(685\) | 21.9200 | + | 37.9665i | 0.837520 | + | 1.45063i | ||||
\(686\) | −0.503364 | + | 1.32160i | −0.0192185 | + | 0.0504589i | ||||
\(687\) | −16.4215 | − | 14.0694i | −0.626520 | − | 0.536783i | ||||
\(688\) | −0.994670 | − | 0.655922i | −0.0379214 | − | 0.0250068i | ||||
\(689\) | 0.133211 | + | 0.158754i | 0.00507493 | + | 0.00604806i | ||||
\(690\) | −1.50087 | + | 0.225928i | −0.0571373 | + | 0.00860093i | ||||
\(691\) | −0.243635 | − | 0.669382i | −0.00926832 | − | 0.0254645i | 0.934972 | − | 0.354721i | \(-0.115424\pi\) |
−0.944241 | + | 0.329257i | \(0.893202\pi\) | |||||||
\(692\) | 18.1179 | + | 22.9422i | 0.688738 | + | 0.872130i | ||||
\(693\) | −10.0105 | + | 5.50837i | −0.380267 | + | 0.209246i | ||||
\(694\) | 27.5323 | − | 9.56053i | 1.04511 | − | 0.362913i | ||||
\(695\) | 6.43008 | − | 36.4668i | 0.243907 | − | 1.38326i | ||||
\(696\) | 2.03834 | − | 37.1487i | 0.0772630 | − | 1.40812i | ||||
\(697\) | 65.0087 | + | 23.6612i | 2.46238 | + | 0.896233i | ||||
\(698\) | 1.24666 | − | 2.08709i | 0.0471866 | − | 0.0789976i | ||||
\(699\) | 22.6467 | + | 27.5597i | 0.856577 | + | 1.04240i | ||||
\(700\) | 0.377892 | + | 0.233402i | 0.0142830 | + | 0.00882176i | ||||
\(701\) | 28.6244i | 1.08113i | 0.841302 | + | 0.540565i | \(0.181789\pi\) | ||||
−0.841302 | + | 0.540565i | \(0.818211\pi\) | |||||||
\(702\) | −0.283471 | + | 1.26638i | −0.0106989 | + | 0.0477964i | ||||
\(703\) | 2.60296i | 0.0981726i | ||||||||
\(704\) | 7.93915 | − | 29.4167i | 0.299218 | − | 1.10868i | ||||
\(705\) | −11.3196 | + | 30.1329i | −0.426319 | + | 1.13487i | ||||
\(706\) | 34.0926 | + | 20.3641i | 1.28309 | + | 0.766413i | ||||
\(707\) | −12.2567 | − | 4.46109i | −0.460962 | − | 0.167777i | ||||
\(708\) | −1.51078 | − | 11.1594i | −0.0567787 | − | 0.419397i | ||||
\(709\) | 5.55408 | − | 31.4987i | 0.208588 | − | 1.18296i | −0.683106 | − | 0.730320i | \(-0.739371\pi\) |
0.891693 | − | 0.452640i | \(-0.149518\pi\) | |||||||
\(710\) | 0.161578 | + | 0.465312i | 0.00606392 | + | 0.0174628i | ||||
\(711\) | −1.80228 | + | 4.65190i | −0.0675908 | + | 0.174460i | ||||
\(712\) | −0.183356 | + | 4.11425i | −0.00687154 | + | 0.154188i | ||||
\(713\) | 0.434277 | + | 1.19317i | 0.0162638 | + | 0.0446845i | ||||
\(714\) | 11.7591 | − | 9.37392i | 0.440074 | − | 0.350810i | ||||
\(715\) | 0.945020 | + | 1.12623i | 0.0353417 | + | 0.0421186i | ||||
\(716\) | 31.9875 | + | 28.5010i | 1.19543 | + | 1.06513i | ||||
\(717\) | −36.3416 | + | 12.8058i | −1.35720 | + | 0.478241i | ||||
\(718\) | 32.9403 | + | 12.5461i | 1.22932 | + | 0.468217i | ||||
\(719\) | 1.01481 | + | 1.75770i | 0.0378459 | + | 0.0655511i | 0.884328 | − | 0.466866i | \(-0.154617\pi\) |
−0.846482 | + | 0.532417i | \(0.821284\pi\) | |||||||
\(720\) | 15.2020 | + | 21.3757i | 0.566547 | + | 0.796623i | ||||
\(721\) | −4.52114 | + | 7.83084i | −0.168376 | + | 0.291636i | ||||
\(722\) | −15.0070 | + | 12.2173i | −0.558501 | + | 0.454682i | ||||
\(723\) | −14.1701 | + | 23.9709i | −0.526991 | + | 0.891488i | ||||
\(724\) | −4.58672 | + | 22.1462i | −0.170464 | + | 0.823056i | ||||
\(725\) | −1.66093 | + | 0.292868i | −0.0616856 | + | 0.0108768i | ||||
\(726\) | 4.47916 | − | 7.32668i | 0.166237 | − | 0.271919i | ||||
\(727\) | 5.01434 | − | 5.97585i | 0.185971 | − | 0.221632i | −0.665001 | − | 0.746842i | \(-0.731569\pi\) |
0.850972 | + | 0.525210i | \(0.176013\pi\) | |||||||
\(728\) | −0.421025 | − | 0.268757i | −0.0156042 | − | 0.00996081i | ||||
\(729\) | −14.9154 | + | 22.5062i | −0.552423 | + | 0.833564i | ||||
\(730\) | 16.8458 | − | 19.4812i | 0.623490 | − | 0.721032i | ||||
\(731\) | 1.40087 | + | 1.17547i | 0.0518130 | + | 0.0434763i | ||||
\(732\) | 40.6129 | − | 12.9690i | 1.50110 | − | 0.479348i | ||||
\(733\) | 3.16145 | + | 17.9294i | 0.116771 | + | 0.662239i | 0.985858 | + | 0.167581i | \(0.0535956\pi\) |
−0.869088 | + | 0.494658i | \(0.835293\pi\) | |||||||
\(734\) | 18.0817 | − | 10.0846i | 0.667407 | − | 0.372228i | ||||
\(735\) | 3.25914 | + | 1.92660i | 0.120215 | + | 0.0710636i | ||||
\(736\) | −0.902569 | + | 1.32545i | −0.0332691 | + | 0.0488569i | ||||
\(737\) | 21.6108 | + | 12.4770i | 0.796046 | + | 0.459597i | ||||
\(738\) | 17.9312 | − | 44.3181i | 0.660057 | − | 1.63137i | ||||
\(739\) | 16.3268 | − | 9.42626i | 0.600590 | − | 0.346751i | −0.168684 | − | 0.985670i | \(-0.553952\pi\) |
0.769274 | + | 0.638920i | \(0.220618\pi\) | |||||||
\(740\) | −4.34535 | + | 2.33961i | −0.159738 | + | 0.0860060i | ||||
\(741\) | 0.234395 | + | 0.665188i | 0.00861070 | + | 0.0244363i | ||||
\(742\) | −1.65942 | − | 0.0246367i | −0.0609191 | − | 0.000904441i | ||||
\(743\) | −7.18364 | + | 6.02779i | −0.263542 | + | 0.221138i | −0.764978 | − | 0.644057i | \(-0.777250\pi\) |
0.501435 | + | 0.865195i | \(0.332806\pi\) | |||||||
\(744\) | 15.0048 | − | 16.0117i | 0.550102 | − | 0.587017i | ||||
\(745\) | −19.9526 | + | 7.26215i | −0.731006 | + | 0.266064i | ||||
\(746\) | −1.38592 | + | 7.23053i | −0.0507420 | + | 0.264729i | ||||
\(747\) | 25.0375 | + | 9.70024i | 0.916073 | + | 0.354913i | ||||
\(748\) | −17.2921 | + | 43.4505i | −0.632261 | + | 1.58871i | ||||
\(749\) | 9.14906 | + | 1.61323i | 0.334299 | + | 0.0589460i | ||||
\(750\) | 18.5048 | − | 20.9604i | 0.675699 | − | 0.765367i | ||||
\(751\) | 10.8232 | − | 29.7365i | 0.394944 | − | 1.08510i | −0.569771 | − | 0.821804i | \(-0.692968\pi\) |
0.964715 | − | 0.263297i | \(-0.0848099\pi\) | |||||||
\(752\) | 15.2263 | + | 30.4094i | 0.555247 | + | 1.10892i | ||||
\(753\) | −37.1558 | − | 13.9577i | −1.35403 | − | 0.508649i | ||||
\(754\) | 1.87253 | − | 0.301587i | 0.0681934 | − | 0.0109831i | ||||
\(755\) | −47.9814 | −1.74622 | ||||||||
\(756\) | −6.18626 | − | 8.35046i | −0.224992 | − | 0.303703i | ||||
\(757\) | 20.0872 | 0.730083 | 0.365041 | − | 0.930991i | \(-0.381055\pi\) | ||||
0.365041 | + | 0.930991i | \(0.381055\pi\) | |||||||
\(758\) | −51.7027 | + | 8.32717i | −1.87793 | + | 0.302456i | ||||
\(759\) | −1.44480 | + | 1.18724i | −0.0524428 | + | 0.0430940i | ||||
\(760\) | 13.1654 | + | 5.46721i | 0.477558 | + | 0.198317i | ||||
\(761\) | 9.48243 | − | 26.0528i | 0.343738 | − | 0.944412i | −0.640562 | − | 0.767907i | \(-0.721298\pi\) |
0.984300 | − | 0.176505i | \(-0.0564793\pi\) | |||||||
\(762\) | 26.3758 | + | 5.33721i | 0.955494 | + | 0.193347i | ||||
\(763\) | 7.11731 | + | 1.25497i | 0.257664 | + | 0.0454331i | ||||
\(764\) | −31.5937 | − | 12.5734i | −1.14302 | − | 0.454890i | ||||
\(765\) | −19.4085 | − | 35.2715i | −0.701715 | − | 1.27524i | ||||
\(766\) | 6.68211 | − | 34.8616i | 0.241434 | − | 1.25960i | ||||
\(767\) | 0.539467 | − | 0.196350i | 0.0194790 | − | 0.00708978i | ||||
\(768\) | 27.4824 | + | 3.56621i | 0.991686 | + | 0.128684i | ||||
\(769\) | −20.8017 | + | 17.4547i | −0.750130 | + | 0.629434i | −0.935537 | − | 0.353228i | \(-0.885084\pi\) |
0.185407 | + | 0.982662i | \(0.440640\pi\) | |||||||
\(770\) | −11.7722 | − | 0.174777i | −0.424240 | − | 0.00629851i | ||||
\(771\) | 7.38504 | − | 8.61965i | 0.265966 | − | 0.310429i | ||||
\(772\) | −1.19614 | − | 2.22159i | −0.0430502 | − | 0.0799568i | ||||
\(773\) | −6.38872 | + | 3.68853i | −0.229786 | + | 0.132667i | −0.610473 | − | 0.792037i | \(-0.709021\pi\) |
0.380687 | + | 0.924704i | \(0.375687\pi\) | |||||||
\(774\) | 0.846076 | − | 0.938727i | 0.0304116 | − | 0.0337418i | ||||
\(775\) | −0.861473 | − | 0.497372i | −0.0309450 | − | 0.0178661i | ||||
\(776\) | 26.9798 | + | 24.7673i | 0.968519 | + | 0.889095i | ||||
\(777\) | 1.70330 | − | 0.960193i | 0.0611054 | − | 0.0344467i | ||||
\(778\) | 13.3730 | − | 7.45846i | 0.479447 | − | 0.267399i | ||||
\(779\) | −4.51182 | − | 25.5878i | −0.161653 | − | 0.916778i | ||||
\(780\) | −0.899775 | + | 0.989184i | −0.0322171 | + | 0.0354185i | ||||
\(781\) | 0.464896 | + | 0.390094i | 0.0166353 | + | 0.0139587i | ||||
\(782\) | 1.60985 | − | 1.86171i | 0.0575683 | − | 0.0665746i | ||||
\(783\) | 38.6322 | + | 8.04725i | 1.38060 | + | 0.287585i | ||||
\(784\) | 3.83334 | − | 1.14260i | 0.136905 | − | 0.0408070i | ||||
\(785\) | 13.3884 | − | 15.9557i | 0.477852 | − | 0.569482i | ||||
\(786\) | −7.14337 | − | 13.1234i | −0.254796 | − | 0.468095i | ||||
\(787\) | −18.6334 | + | 3.28558i | −0.664210 | + | 0.117118i | −0.495582 | − | 0.868561i | \(-0.665045\pi\) |
−0.168629 | + | 0.985680i | \(0.553934\pi\) | |||||||
\(788\) | 41.8344 | + | 8.66438i | 1.49029 | + | 0.308656i | ||||
\(789\) | −38.3538 | − | 0.394226i | −1.36543 | − | 0.0140348i | ||||
\(790\) | −3.98653 | + | 3.24548i | −0.141834 | + | 0.115469i | ||||
\(791\) | −7.19347 | + | 12.4595i | −0.255770 | + | 0.443007i | ||||
\(792\) | 29.5852 | + | 13.0052i | 1.05126 | + | 0.462119i | ||||
\(793\) | 1.08671 | + | 1.88223i | 0.0385901 | + | 0.0668400i | ||||
\(794\) | −2.59910 | − | 0.989931i | −0.0922385 | − | 0.0351313i | ||||
\(795\) | −0.816435 | + | 4.36726i | −0.0289560 | + | 0.154891i | ||||
\(796\) | 13.7829 | − | 15.4689i | 0.488522 | − | 0.548282i | ||||
\(797\) | 14.5117 | + | 17.2943i | 0.514030 | + | 0.612597i | 0.959158 | − | 0.282870i | \(-0.0912865\pi\) |
−0.445129 | + | 0.895467i | \(0.646842\pi\) | |||||||
\(798\) | −5.25714 | − | 2.06443i | −0.186101 | − | 0.0730801i | ||||
\(799\) | −17.8525 | − | 49.0492i | −0.631574 | − | 1.73524i | ||||
\(800\) | −0.125800 | − | 1.24996i | −0.00444771 | − | 0.0441929i | ||||
\(801\) | −4.28529 | − | 0.846786i | −0.151413 | − | 0.0299197i | ||||
\(802\) | −17.3391 | − | 49.9331i | −0.612266 | − | 1.76320i | ||||
\(803\) | 5.51012 | − | 31.2494i | 0.194448 | − | 1.10277i | ||||
\(804\) | −8.60873 | + | 21.0006i | −0.303607 | + | 0.740635i | ||||
\(805\) | 0.582264 | + | 0.211927i | 0.0205221 | + | 0.00746944i | ||||
\(806\) | 0.960380 | + | 0.573651i | 0.0338279 | + | 0.0202060i | ||||
\(807\) | −30.1691 | + | 5.00047i | −1.06200 | + | 0.176025i | ||||
\(808\) | 11.0619 | + | 35.1947i | 0.389156 | + | 1.23814i | ||||
\(809\) | − | 21.5151i | − | 0.756431i | −0.925718 | − | 0.378215i | \(-0.876538\pi\) | ||
0.925718 | − | 0.378215i | \(-0.123462\pi\) | |||||||
\(810\) | −24.8342 | + | 12.5413i | −0.872586 | + | 0.440656i | ||||
\(811\) | − | 31.6085i | − | 1.10992i | −0.831876 | − | 0.554962i | \(-0.812733\pi\) | ||
0.831876 | − | 0.554962i | \(-0.187267\pi\) | |||||||
\(812\) | −7.98149 | + | 12.9225i | −0.280095 | + | 0.453493i | ||||
\(813\) | −14.1807 | + | 2.35043i | −0.497340 | + | 0.0824331i | ||||
\(814\) | −3.11808 | + | 5.22014i | −0.109289 | + | 0.182966i | ||||
\(815\) | 26.1904 | + | 9.53252i | 0.917409 | + | 0.333910i | ||||
\(816\) | −41.2725 | − | 10.2837i | −1.44483 | − | 0.360001i | ||||
\(817\) | 0.119264 | − | 0.676380i | 0.00417252 | − | 0.0236635i | ||||
\(818\) | 30.2814 | − | 10.5151i | 1.05876 | − | 0.367653i | ||||
\(819\) | 0.348813 | − | 0.398758i | 0.0121885 | − | 0.0139337i | ||||
\(820\) | 38.6606 | − | 30.5310i | 1.35008 | − | 1.06619i | ||||
\(821\) | −12.7115 | − | 34.9245i | −0.443633 | − | 1.21887i | −0.937086 | − | 0.349100i | \(-0.886487\pi\) |
0.493452 | − | 0.869773i | \(-0.335735\pi\) | |||||||
\(822\) | −17.9571 | + | 45.7283i | −0.626325 | + | 1.59496i | ||||
\(823\) | −11.1923 | − | 13.3385i | −0.390141 | − | 0.464952i | 0.534847 | − | 0.844949i | \(-0.320369\pi\) |
−0.924988 | + | 0.379997i | \(0.875925\pi\) | |||||||
\(824\) | 25.3596 | − | 3.31536i | 0.883445 | − | 0.115496i | ||||
\(825\) | 0.269212 | − | 1.44007i | 0.00937277 | − | 0.0501367i | ||||
\(826\) | −1.63635 | + | 4.29630i | −0.0569361 | + | 0.149488i | ||||
\(827\) | 4.33266 | + | 7.50438i | 0.150661 | + | 0.260953i | 0.931471 | − | 0.363816i | \(-0.118526\pi\) |
−0.780809 | + | 0.624769i | \(0.785193\pi\) | |||||||
\(828\) | −1.24637 | − | 1.15735i | −0.0433144 | − | 0.0402206i | ||||
\(829\) | 9.71584 | − | 16.8283i | 0.337445 | − | 0.584472i | −0.646506 | − | 0.762909i | \(-0.723771\pi\) |
0.983951 | + | 0.178437i | \(0.0571040\pi\) | |||||||
\(830\) | 17.4678 | + | 21.4563i | 0.606316 | + | 0.744759i | ||||
\(831\) | 10.0169 | + | 0.102960i | 0.347483 | + | 0.00357165i | ||||
\(832\) | 0.120589 | + | 1.40762i | 0.00418067 | + | 0.0488005i | ||||
\(833\) | −6.04605 | + | 1.06608i | −0.209483 | + | 0.0369375i | ||||
\(834\) | 36.4461 | − | 19.8385i | 1.26203 | − | 0.686951i | ||||
\(835\) | 1.45982 | − | 1.73975i | 0.0505192 | − | 0.0602064i | ||||
\(836\) | 17.3798 | − | 2.53508i | 0.601093 | − | 0.0876775i | ||||
\(837\) | 14.4038 | + | 18.2821i | 0.497869 | + | 0.631923i | ||||
\(838\) | 11.4164 | + | 9.87201i | 0.394374 | + | 0.341023i | ||||
\(839\) | −21.3896 | − | 17.9480i | −0.738450 | − | 0.619633i | 0.193971 | − | 0.981007i | \(-0.437863\pi\) |
−0.932421 | + | 0.361374i | \(0.882308\pi\) | |||||||
\(840\) | −1.27893 | − | 10.6318i | −0.0441273 | − | 0.366831i | ||||
\(841\) | −4.97921 | − | 28.2385i | −0.171697 | − | 0.973741i | ||||
\(842\) | 13.6336 | + | 24.4451i | 0.469844 | + | 0.842432i | ||||
\(843\) | 25.0646 | − | 14.1296i | 0.863271 | − | 0.486648i | ||||
\(844\) | −0.489713 | + | 16.4888i | −0.0168566 | + | 0.567568i | ||||
\(845\) | 24.5499 | + | 14.1739i | 0.844543 | + | 0.487597i | ||||
\(846\) | −34.3114 | + | 11.1297i | −1.17965 | + | 0.382646i | ||||
\(847\) | −3.03610 | + | 1.75289i | −0.104322 | + | 0.0602301i | ||||
\(848\) | 2.79856 | + | 3.76859i | 0.0961030 | + | 0.129414i | ||||
\(849\) | −30.3309 | + | 35.4015i | −1.04095 | + | 1.21498i | ||||
\(850\) | −0.0286236 | + | 1.92796i | −0.000981781 | + | 0.0661284i | ||||
\(851\) | 0.245144 | − | 0.205700i | 0.00840343 | − | 0.00705131i | ||||
\(852\) | −0.294870 | + | 0.466617i | −0.0101021 | + | 0.0159860i | ||||
\(853\) | 2.49711 | − | 0.908875i | 0.0854995 | − | 0.0311193i | −0.298916 | − | 0.954279i | \(-0.596625\pi\) |
0.384416 | + | 0.923160i | \(0.374403\pi\) | |||||||
\(854\) | −17.0938 | − | 3.27646i | −0.584939 | − | 0.112118i | ||||
\(855\) | −7.82764 | + | 12.9363i | −0.267700 | + | 0.442412i | ||||
\(856\) | −12.1121 | − | 23.3186i | −0.413985 | − | 0.797014i | ||||
\(857\) | 43.4043 | + | 7.65335i | 1.48266 | + | 0.261434i | 0.855642 | − | 0.517569i | \(-0.173163\pi\) |
0.627021 | + | 0.779002i | \(0.284274\pi\) | |||||||
\(858\) | −0.326757 | + | 1.61479i | −0.0111553 | + | 0.0551279i | ||||
\(859\) | 13.5716 | − | 37.2876i | 0.463056 | − | 1.27224i | −0.460119 | − | 0.887857i | \(-0.652193\pi\) |
0.923175 | − | 0.384379i | \(-0.125584\pi\) | |||||||
\(860\) | 1.23634 | − | 0.408851i | 0.0421587 | − | 0.0139417i | ||||
\(861\) | −15.0795 | + | 12.3913i | −0.513908 | + | 0.422296i | ||||
\(862\) | −1.98579 | − | 12.3296i | −0.0676362 | − | 0.419947i | ||||
\(863\) | 49.8265 | 1.69611 | 0.848057 | − | 0.529904i | \(-0.177772\pi\) | ||||
0.848057 | + | 0.529904i | \(0.177772\pi\) | |||||||
\(864\) | −8.11173 | + | 28.2524i | −0.275967 | + | 0.961167i | ||||
\(865\) | −31.9500 | −1.08633 | ||||||||
\(866\) | −2.89980 | − | 18.0046i | −0.0985391 | − | 0.611821i | ||||
\(867\) | 33.5491 | + | 12.6029i | 1.13939 | + | 0.428016i | ||||
\(868\) | −8.50539 | + | 2.81270i | −0.288692 | + | 0.0954691i | ||||
\(869\) | −2.16621 | + | 5.95160i | −0.0734835 | + | 0.201894i | ||||
\(870\) | 30.4823 | + | 26.9111i | 1.03345 | + | 0.912371i | ||||
\(871\) | −1.13948 | − | 0.200921i | −0.0386097 | − | 0.00680793i | ||||
\(872\) | −9.42238 | − | 18.1402i | −0.319082 | − | 0.614305i | ||||
\(873\) | −30.2646 | + | 24.3527i | −1.02430 | + | 0.824213i | ||||
\(874\) | −0.907844 | − | 0.174011i | −0.0307083 | − | 0.00588602i | ||||
\(875\) | −10.7263 | + | 3.90404i | −0.362614 | + | 0.131981i | ||||
\(876\) | 28.8379 | + | 1.15324i | 0.974342 | + | 0.0389645i | ||||
\(877\) | −23.3679 | + | 19.6080i | −0.789078 | + | 0.662115i | −0.945517 | − | 0.325572i | \(-0.894443\pi\) |
0.156439 | + | 0.987688i | \(0.449999\pi\) | |||||||
\(878\) | 0.419502 | − | 28.2558i | 0.0141575 | − | 0.953588i | ||||
\(879\) | −18.8558 | − | 53.5109i | −0.635991 | − | 1.80488i | ||||
\(880\) | 19.8535 | + | 26.7350i | 0.669260 | + | 0.901236i | ||||
\(881\) | 24.4412 | − | 14.1111i | 0.823446 | − | 0.475417i | −0.0281576 | − | 0.999603i | \(-0.508964\pi\) |
0.851603 | + | 0.524187i | \(0.175631\pi\) | |||||||
\(882\) | 0.588380 | + | 4.20164i | 0.0198118 | + | 0.141477i | ||||
\(883\) | −0.679809 | − | 0.392488i | −0.0228774 | − | 0.0132083i | 0.488518 | − | 0.872554i | \(-0.337538\pi\) |
−0.511395 | + | 0.859346i | \(0.670871\pi\) | |||||||
\(884\) | 0.0643716 | − | 2.16741i | 0.00216505 | − | 0.0728980i | ||||
\(885\) | 10.5949 | + | 6.26305i | 0.356145 | + | 0.210530i | ||||
\(886\) | 3.41981 | + | 6.13174i | 0.114891 | + | 0.206000i | ||||
\(887\) | 5.70903 | + | 32.3775i | 0.191690 | + | 1.08713i | 0.917054 | + | 0.398764i | \(0.130561\pi\) |
−0.725363 | + | 0.688366i | \(0.758328\pi\) | |||||||
\(888\) | −5.08546 | − | 2.17340i | −0.170657 | − | 0.0729344i | ||||
\(889\) | −8.41585 | − | 7.06174i | −0.282259 | − | 0.236843i | ||||
\(890\) | −3.40466 | − | 2.94407i | −0.114124 | − | 0.0986854i | ||||
\(891\) | −18.3445 | + | 28.9559i | −0.614565 | + | 0.970060i | ||||
\(892\) | −14.3831 | + | 2.09797i | −0.481582 | + | 0.0702451i | ||||
\(893\) | −12.6011 | + | 15.0174i | −0.421681 | + | 0.502540i | ||||
\(894\) | −20.3009 | − | 12.4110i | −0.678965 | − | 0.415085i | ||||
\(895\) | −46.1125 | + | 8.13088i | −1.54137 | + | 0.271785i | ||||
\(896\) | −9.15831 | − | 6.64269i | −0.305958 | − | 0.221917i | ||||
\(897\) | 0.0441235 | − | 0.0746418i | 0.00147324 | − | 0.00249222i | ||||
\(898\) | −1.71112 | − | 2.10182i | −0.0571007 | − | 0.0701387i | ||||
\(899\) | 17.0083 | − | 29.4592i | 0.567259 | − | 0.982521i | ||||
\(900\) | 1.33080 | + | 0.0669259i | 0.0443601 | + | 0.00223086i | ||||
\(901\) | −3.60229 | − | 6.23935i | −0.120010 | − | 0.207863i | ||||
\(902\) | 21.6032 | − | 56.7200i | 0.719309 | − | 1.88857i | ||||
\(903\) | −0.486596 | + | 0.171463i | −0.0161929 | + | 0.00570595i | ||||
\(904\) | 40.3491 | − | 5.27498i | 1.34199 | − | 0.175443i | ||||
\(905\) | −15.8882 | − | 18.9349i | −0.528143 | − | 0.629416i | ||||
\(906\) | −33.5162 | − | 42.0444i | −1.11350 | − | 1.39683i | ||||
\(907\) | 2.67176 | + | 7.34061i | 0.0887145 | + | 0.243741i | 0.976114 | − | 0.217261i | \(-0.0697123\pi\) |
−0.887399 | + | 0.461002i | \(0.847490\pi\) | |||||||
\(908\) | −23.8454 | + | 18.8312i | −0.791337 | + | 0.624935i | ||||
\(909\) | −38.6671 | + | 6.00132i | −1.28251 | + | 0.199051i | ||||
\(910\) | 0.515699 | − | 0.179075i | 0.0170953 | − | 0.00593628i | ||||
\(911\) | −5.16034 | + | 29.2657i | −0.170970 | + | 0.969617i | 0.771724 | + | 0.635958i | \(0.219395\pi\) |
−0.942694 | + | 0.333660i | \(0.891716\pi\) | |||||||
\(912\) | 4.40561 | + | 15.3553i | 0.145884 | + | 0.508466i | ||||
\(913\) | 32.0327 | + | 11.6590i | 1.06013 | + | 0.385855i | ||||
\(914\) | −28.1860 | + | 47.1877i | −0.932309 | + | 1.56083i | ||||
\(915\) | −16.3856 | + | 43.6188i | −0.541691 | + | 1.44199i | ||||
\(916\) | 13.1213 | − | 21.2443i | 0.433541 | − | 0.701930i | ||||
\(917\) | 6.09987i | 0.201436i | ||||||||
\(918\) | 17.3499 | − | 41.6450i | 0.572632 | − | 1.37449i | ||||
\(919\) | 32.7521i | 1.08039i | 0.841539 | + | 0.540196i | \(0.181650\pi\) | ||||
−0.841539 | + | 0.540196i | \(0.818350\pi\) | |||||||
\(920\) | −0.525503 | − | 1.67195i | −0.0173253 | − | 0.0551224i | ||||
\(921\) | −29.0166 | − | 35.3114i | −0.956128 | − | 1.16355i | ||||
\(922\) | 13.9742 | + | 8.34704i | 0.460216 | + | 0.274895i | ||||
\(923\) | −0.0264424 | − | 0.00962424i | −0.000870362 | − | 0.000316786i | ||||
\(924\) | −8.07001 | − | 10.4376i | −0.265484 | − | 0.343373i | ||||
\(925\) | −0.0435344 | + | 0.246896i | −0.00143140 | + | 0.00811789i | ||||
\(926\) | 17.4871 | + | 50.3592i | 0.574662 | + | 1.65491i | ||||
\(927\) | −0.557596 | + | 27.1211i | −0.0183138 | + | 0.890774i | ||||
\(928\) | 42.7442 | − | 4.30191i | 1.40315 | − | 0.141217i | ||||
\(929\) | 3.94064 | + | 10.8268i | 0.129288 | + | 0.355216i | 0.987399 | − | 0.158247i | \(-0.0505844\pi\) |
−0.858111 | + | 0.513464i | \(0.828362\pi\) | |||||||
\(930\) | 3.56990 | + | 23.7154i | 0.117062 | + | 0.777658i | ||||
\(931\) | 1.48212 | + | 1.76632i | 0.0485745 | + | 0.0578889i | ||||
\(932\) | −27.4009 | + | 30.7528i | −0.897546 | + | 1.00734i | ||||
\(933\) | 41.8326 | + | 35.8408i | 1.36954 | + | 1.17338i | ||||
\(934\) | 17.0468 | + | 6.49271i | 0.557790 | + | 0.212448i | ||||
\(935\) | −25.5552 | − | 44.2630i | −0.835746 | − | 1.44755i | ||||
\(936\) | −1.49530 | − | 0.0974715i | −0.0488755 | − | 0.00318596i | ||||
\(937\) | 2.11278 | − | 3.65945i | 0.0690217 | − | 0.119549i | −0.829449 | − | 0.558582i | \(-0.811346\pi\) |
0.898471 | + | 0.439033i | \(0.144679\pi\) | |||||||
\(938\) | 7.18569 | − | 5.84995i | 0.234621 | − | 0.191008i | ||||
\(939\) | 9.24115 | + | 16.3930i | 0.301573 | + | 0.534964i | ||||
\(940\) | −36.3961 | − | 7.53805i | −1.18711 | − | 0.245864i | ||||
\(941\) | 51.3277 | − | 9.05046i | 1.67323 | − | 0.295036i | 0.745009 | − | 0.667054i | \(-0.232445\pi\) |
0.928226 | + | 0.372018i | \(0.121334\pi\) | |||||||
\(942\) | 23.3335 | + | 0.586349i | 0.760247 | + | 0.0191043i | ||||
\(943\) | −2.05328 | + | 2.44700i | −0.0668640 | + | 0.0796854i | ||||
\(944\) | 12.4616 | − | 3.71440i | 0.405589 | − | 0.120893i | ||||
\(945\) | 11.3526 | + | 0.350167i | 0.369300 | + | 0.0113909i | ||||
\(946\) | 1.04941 | − | 1.21359i | 0.0341193 | − | 0.0394571i | ||||
\(947\) | −15.4993 | − | 13.0054i | −0.503659 | − | 0.422620i | 0.355232 | − | 0.934778i | \(-0.384402\pi\) |
−0.858891 | + | 0.512158i | \(0.828846\pi\) | |||||||
\(948\) | −5.62859 | − | 1.22621i | −0.182808 | − | 0.0398254i | ||||
\(949\) | 0.255490 | + | 1.44895i | 0.00829355 | + | 0.0470351i | ||||
\(950\) | 0.632457 | − | 0.352736i | 0.0205196 | − | 0.0114443i | ||||
\(951\) | 0.363533 | − | 35.3677i | 0.0117884 | − | 1.14688i | ||||
\(952\) | 12.7919 | + | 11.7429i | 0.414589 | + | 0.380590i | ||||
\(953\) | −6.76936 | − | 3.90829i | −0.219281 | − | 0.126602i | 0.386336 | − | 0.922358i | \(-0.373740\pi\) |
−0.605617 | + | 0.795756i | \(0.707074\pi\) | |||||||
\(954\) | −4.39718 | + | 2.33523i | −0.142364 | + | 0.0756058i | ||||
\(955\) | 32.1845 | − | 18.5817i | 1.04147 | − | 0.601291i | ||||
\(956\) | −21.0927 | − | 39.1752i | −0.682185 | − | 1.26702i | ||||
\(957\) | 49.2450 | + | 9.20608i | 1.59187 | + | 0.297590i | ||||
\(958\) | −36.4165 | − | 0.540660i | −1.17656 | − | 0.0174679i | ||||
\(959\) | 15.3640 | − | 12.8919i | 0.496130 | − | 0.416303i | ||||
\(960\) | −21.6741 | + | 21.1564i | −0.699528 | + | 0.682821i | ||||
\(961\) | −10.2772 | + | 3.74060i | −0.331523 | + | 0.120664i | ||||
\(962\) | 0.0530740 | − | 0.276896i | 0.00171118 | − | 0.00892747i | ||||
\(963\) | 26.3802 | − | 8.99195i | 0.850090 | − | 0.289762i | ||||
\(964\) | −29.8748 | − | 11.8893i | −0.962203 | − | 0.382930i | ||||
\(965\) | 2.71570 | + | 0.478851i | 0.0874215 | + | 0.0154148i | ||||
\(966\) | 0.221022 | + | 0.658254i | 0.00711127 | + | 0.0211790i | ||||
\(967\) | −12.7589 | + | 35.0547i | −0.410297 | + | 1.12728i | 0.546736 | + | 0.837305i | \(0.315870\pi\) |
−0.957034 | + | 0.289977i | \(0.906352\pi\) | |||||||
\(968\) | 9.15762 | + | 3.80290i | 0.294337 | + | 0.122230i | ||||
\(969\) | −4.00922 | − | 24.1886i | −0.128795 | − | 0.777051i | ||||
\(970\) | −39.5181 | + | 6.36474i | −1.26885 | + | 0.204360i | ||||
\(971\) | 50.9231 | 1.63420 | 0.817100 | − | 0.576496i | \(-0.195580\pi\) | ||||
0.817100 | + | 0.576496i | \(0.195580\pi\) | |||||||
\(972\) | −28.3368 | − | 13.0009i | −0.908904 | − | 0.417006i | ||||
\(973\) | −16.9405 | −0.543088 | ||||||||
\(974\) | 55.9871 | − | 9.01722i | 1.79394 | − | 0.288930i | ||||
\(975\) | 0.0111075 | + | 0.0670146i | 0.000355726 | + | 0.00214619i | ||||
\(976\) | 22.0408 | + | 44.0190i | 0.705510 | + | 1.40901i | ||||
\(977\) | 16.2384 | − | 44.6146i | 0.519512 | − | 1.42735i | −0.351548 | − | 0.936170i | \(-0.614345\pi\) |
0.871060 | − | 0.491177i | \(-0.163433\pi\) | |||||||
\(978\) | 9.94162 | + | 29.6084i | 0.317898 | + | 0.946773i | ||||
\(979\) | −5.46134 | − | 0.962981i | −0.174545 | − | 0.0307770i | ||||
\(980\) | −1.61650 | + | 4.06185i | −0.0516372 | + | 0.129751i | ||||
\(981\) | 20.5219 | − | 6.99510i | 0.655214 | − | 0.223336i | ||||
\(982\) | 0.0426551 | − | 0.222538i | 0.00136118 | − | 0.00710148i | ||||
\(983\) | 27.9118 | − | 10.1591i | 0.890247 | − | 0.324024i | 0.143910 | − | 0.989591i | \(-0.454033\pi\) |
0.746338 | + | 0.665567i | \(0.231810\pi\) | |||||||
\(984\) | 53.7586 | + | 12.5502i | 1.71376 | + | 0.400087i | ||||
\(985\) | −35.7682 | + | 30.0131i | −1.13967 | + | 0.956297i | ||||
\(986\) | −65.9292 | − | 0.978823i | −2.09961 | − | 0.0311721i | ||||
\(987\) | 14.4753 | + | 2.70608i | 0.460754 | + | 0.0861354i | ||||
\(988\) | −0.717055 | + | 0.386075i | −0.0228126 | + | 0.0122827i | ||||
\(989\) | −0.0731255 | + | 0.0422190i | −0.00232526 | + | 0.00134249i | ||||
\(990\) | −31.1943 | + | 16.5665i | −0.991421 | + | 0.526518i | ||||
\(991\) | −47.8654 | − | 27.6351i | −1.52050 | − | 0.877858i | −0.999708 | − | 0.0241722i | \(-0.992305\pi\) |
−0.520788 | − | 0.853686i | \(-0.674362\pi\) | |||||||
\(992\) | 20.9436 | + | 14.2615i | 0.664958 | + | 0.452804i | ||||
\(993\) | 0.205926 | − | 20.0343i | 0.00653486 | − | 0.635770i | ||||
\(994\) | 0.196805 | − | 0.109763i | 0.00624227 | − | 0.00348146i | ||||
\(995\) | 3.93204 | + | 22.2997i | 0.124654 | + | 0.706949i | ||||
\(996\) | −6.59970 | + | 30.2942i | −0.209119 | + | 0.959907i | ||||
\(997\) | −11.8448 | − | 9.93898i | −0.375129 | − | 0.314771i | 0.435658 | − | 0.900112i | \(-0.356516\pi\) |
−0.810787 | + | 0.585342i | \(0.800960\pi\) | |||||||
\(998\) | −23.8998 | + | 27.6388i | −0.756534 | + | 0.874890i | ||||
\(999\) | 3.08817 | − | 4.98717i | 0.0977053 | − | 0.157787i |
(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 | 756.2.cf.a.659.48 | yes | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.659.108 | yes | 648 | |
27.5 | odd | 18 | inner | 756.2.cf.a.491.108 | yes | 648 | |
108.59 | even | 18 | inner | 756.2.cf.a.491.48 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.491.48 | ✓ | 648 | 108.59 | even | 18 | inner | |
756.2.cf.a.491.108 | yes | 648 | 27.5 | odd | 18 | inner | |
756.2.cf.a.659.48 | yes | 648 | 1.1 | even | 1 | trivial | |
756.2.cf.a.659.108 | yes | 648 | 4.3 | odd | 2 | inner |