Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(16,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 12, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 256.5 | ||
Character | \(\chi\) | \(=\) | 429.256 |
Dual form | 429.2.bg.b.367.5 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.121483 | − | 1.15584i | −0.0859017 | − | 0.817300i | −0.949637 | − | 0.313353i | \(-0.898548\pi\) |
0.863735 | − | 0.503946i | \(-0.168119\pi\) | |||||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | 0.635096 | − | 0.134994i | 0.317548 | − | 0.0674969i | ||||
\(5\) | −2.64351 | − | 1.92062i | −1.18221 | − | 0.858929i | −0.189794 | − | 0.981824i | \(-0.560782\pi\) |
−0.992420 | + | 0.122895i | \(0.960782\pi\) | |||||||
\(6\) | −0.121483 | + | 1.15584i | −0.0495953 | + | 0.471868i | ||||
\(7\) | −2.84394 | + | 0.604498i | −1.07491 | + | 0.228479i | −0.711169 | − | 0.703021i | \(-0.751834\pi\) |
−0.363740 | + | 0.931500i | \(0.618500\pi\) | |||||||
\(8\) | −0.951465 | − | 2.92831i | −0.336394 | − | 1.03531i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −1.89878 | + | 3.28879i | −0.600448 | + | 1.04001i | ||||
\(11\) | −1.21649 | + | 3.08547i | −0.366786 | + | 0.930305i | ||||
\(12\) | −0.649284 | −0.187432 | ||||||||
\(13\) | 3.14873 | + | 1.75655i | 0.873302 | + | 0.487180i | ||||
\(14\) | 1.04419 | + | 3.21369i | 0.279072 | + | 0.858896i | ||||
\(15\) | 2.18642 | + | 2.42827i | 0.564532 | + | 0.626977i | ||||
\(16\) | −2.08276 | + | 0.927303i | −0.520689 | + | 0.231826i | ||||
\(17\) | 0.143932 | − | 1.36943i | 0.0349087 | − | 0.332134i | −0.963104 | − | 0.269128i | \(-0.913264\pi\) |
0.998013 | − | 0.0630064i | \(-0.0200688\pi\) | |||||||
\(18\) | 0.359140 | − | 1.10532i | 0.0846502 | − | 0.260527i | ||||
\(19\) | −3.32349 | + | 3.69111i | −0.762462 | + | 0.846800i | −0.991966 | − | 0.126508i | \(-0.959623\pi\) |
0.229504 | + | 0.973308i | \(0.426290\pi\) | |||||||
\(20\) | −1.93816 | − | 0.862922i | −0.433385 | − | 0.192955i | ||||
\(21\) | 2.90748 | 0.634463 | ||||||||
\(22\) | 3.71409 | + | 1.03123i | 0.791846 | + | 0.219860i | ||||
\(23\) | −1.37399 | + | 2.37982i | −0.286497 | + | 0.496227i | −0.972971 | − | 0.230927i | \(-0.925824\pi\) |
0.686474 | + | 0.727154i | \(0.259157\pi\) | |||||||
\(24\) | 0.321844 | + | 3.06214i | 0.0656961 | + | 0.625056i | ||||
\(25\) | 1.75427 | + | 5.39910i | 0.350855 | + | 1.07982i | ||||
\(26\) | 1.64777 | − | 3.85281i | 0.323154 | − | 0.755599i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −1.72457 | + | 0.767829i | −0.325913 | + | 0.145106i | ||||
\(29\) | −3.99700 | − | 4.43912i | −0.742225 | − | 0.824324i | 0.247262 | − | 0.968949i | \(-0.420469\pi\) |
−0.989487 | + | 0.144625i | \(0.953803\pi\) | |||||||
\(30\) | 2.54107 | − | 2.82214i | 0.463934 | − | 0.515250i | ||||
\(31\) | −2.29661 | + | 1.66859i | −0.412484 | + | 0.299687i | −0.774607 | − | 0.632443i | \(-0.782052\pi\) |
0.362123 | + | 0.932130i | \(0.382052\pi\) | |||||||
\(32\) | −1.75418 | − | 3.03832i | −0.310097 | − | 0.537104i | ||||
\(33\) | 1.83142 | − | 2.76513i | 0.318808 | − | 0.481347i | ||||
\(34\) | −1.60032 | −0.274452 | ||||||||
\(35\) | 8.67901 | + | 3.86414i | 1.46702 | + | 0.653159i | ||||
\(36\) | 0.635096 | + | 0.134994i | 0.105849 | + | 0.0224990i | ||||
\(37\) | −1.80721 | − | 2.00711i | −0.297104 | − | 0.329968i | 0.576048 | − | 0.817416i | \(-0.304594\pi\) |
−0.873152 | + | 0.487449i | \(0.837928\pi\) | |||||||
\(38\) | 4.67007 | + | 3.39301i | 0.757586 | + | 0.550418i | ||||
\(39\) | −2.71472 | − | 2.37283i | −0.434703 | − | 0.379956i | ||||
\(40\) | −3.10897 | + | 9.56842i | −0.491571 | + | 1.51290i | ||||
\(41\) | −6.56825 | − | 1.39612i | −1.02579 | − | 0.218038i | −0.335857 | − | 0.941913i | \(-0.609026\pi\) |
−0.689931 | + | 0.723875i | \(0.742359\pi\) | |||||||
\(42\) | −0.353210 | − | 3.36057i | −0.0545015 | − | 0.518547i | ||||
\(43\) | −3.69228 | − | 6.39521i | −0.563067 | − | 0.975261i | −0.997227 | − | 0.0744250i | \(-0.976288\pi\) |
0.434159 | − | 0.900836i | \(-0.357045\pi\) | |||||||
\(44\) | −0.356070 | + | 2.12379i | −0.0536795 | + | 0.320173i | ||||
\(45\) | −1.63378 | − | 2.82979i | −0.243550 | − | 0.421840i | ||||
\(46\) | 2.91760 | + | 1.29900i | 0.430177 | + | 0.191527i | ||||
\(47\) | 2.88587 | + | 8.88178i | 0.420947 | + | 1.29554i | 0.906822 | + | 0.421513i | \(0.138501\pi\) |
−0.485875 | + | 0.874028i | \(0.661499\pi\) | |||||||
\(48\) | 2.23004 | − | 0.474010i | 0.321879 | − | 0.0684174i | ||||
\(49\) | 1.32777 | − | 0.591160i | 0.189681 | − | 0.0844514i | ||||
\(50\) | 6.02736 | − | 2.68355i | 0.852397 | − | 0.379512i | ||||
\(51\) | −0.425507 | + | 1.30957i | −0.0595829 | + | 0.183377i | ||||
\(52\) | 2.23687 | + | 0.690520i | 0.310198 | + | 0.0957579i | ||||
\(53\) | 6.88829 | − | 5.00463i | 0.946179 | − | 0.687439i | −0.00372100 | − | 0.999993i | \(-0.501184\pi\) |
0.949900 | + | 0.312554i | \(0.101184\pi\) | |||||||
\(54\) | −0.581101 | + | 1.00650i | −0.0790779 | + | 0.136967i | ||||
\(55\) | 9.14184 | − | 5.82006i | 1.23269 | − | 0.784777i | ||||
\(56\) | 4.47607 | + | 7.75278i | 0.598140 | + | 1.03601i | ||||
\(57\) | 4.01829 | − | 2.91946i | 0.532236 | − | 0.386692i | ||||
\(58\) | −4.64533 | + | 5.15916i | −0.609962 | + | 0.677431i | ||||
\(59\) | −9.31547 | + | 1.98007i | −1.21277 | + | 0.257783i | −0.769525 | − | 0.638617i | \(-0.779507\pi\) |
−0.443247 | + | 0.896400i | \(0.646173\pi\) | |||||||
\(60\) | 1.71639 | + | 1.24703i | 0.221585 | + | 0.160991i | ||||
\(61\) | −0.928511 | + | 8.83419i | −0.118884 | + | 1.13110i | 0.758620 | + | 0.651533i | \(0.225874\pi\) |
−0.877504 | + | 0.479569i | \(0.840793\pi\) | |||||||
\(62\) | 2.20761 | + | 2.45180i | 0.280367 | + | 0.311379i | ||||
\(63\) | −2.84394 | − | 0.604498i | −0.358303 | − | 0.0761596i | ||||
\(64\) | −6.98759 | + | 5.07678i | −0.873449 | + | 0.634598i | ||||
\(65\) | −4.95004 | − | 10.6910i | −0.613976 | − | 1.32606i | ||||
\(66\) | −3.41852 | − | 1.78090i | −0.420791 | − | 0.219214i | ||||
\(67\) | 4.92549 | − | 8.53120i | 0.601745 | − | 1.04225i | −0.390812 | − | 0.920470i | \(-0.627806\pi\) |
0.992557 | − | 0.121782i | \(-0.0388608\pi\) | |||||||
\(68\) | −0.0934531 | − | 0.889146i | −0.0113328 | − | 0.107825i | ||||
\(69\) | 1.83876 | − | 2.04215i | 0.221361 | − | 0.245846i | ||||
\(70\) | 3.41196 | − | 10.5009i | 0.407807 | − | 1.25510i | ||||
\(71\) | 0.829495 | − | 7.89211i | 0.0984429 | − | 0.936622i | −0.828138 | − | 0.560525i | \(-0.810599\pi\) |
0.926580 | − | 0.376097i | \(-0.122734\pi\) | |||||||
\(72\) | 0.321844 | − | 3.06214i | 0.0379297 | − | 0.360877i | ||||
\(73\) | 2.07280 | − | 6.37941i | 0.242602 | − | 0.746653i | −0.753419 | − | 0.657541i | \(-0.771597\pi\) |
0.996022 | − | 0.0891129i | \(-0.0284032\pi\) | |||||||
\(74\) | −2.10035 | + | 2.33267i | −0.244161 | + | 0.271168i | ||||
\(75\) | −0.593402 | − | 5.64585i | −0.0685202 | − | 0.651926i | ||||
\(76\) | −1.61246 | + | 2.79286i | −0.184962 | + | 0.320363i | ||||
\(77\) | 1.59447 | − | 9.51027i | 0.181707 | − | 1.08380i | ||||
\(78\) | −2.41281 | + | 3.42603i | −0.273196 | + | 0.387921i | ||||
\(79\) | −2.50665 | + | 1.82119i | −0.282021 | + | 0.204900i | −0.719798 | − | 0.694183i | \(-0.755766\pi\) |
0.437778 | + | 0.899083i | \(0.355766\pi\) | |||||||
\(80\) | 7.28679 | + | 1.54886i | 0.814688 | + | 0.173167i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.815759 | + | 7.76143i | −0.0900855 | + | 0.857106i | ||||
\(83\) | −10.4961 | − | 7.62588i | −1.15210 | − | 0.837049i | −0.163341 | − | 0.986570i | \(-0.552227\pi\) |
−0.988759 | + | 0.149520i | \(0.952227\pi\) | |||||||
\(84\) | 1.84653 | − | 0.392491i | 0.201473 | − | 0.0428243i | ||||
\(85\) | −3.01064 | + | 3.34365i | −0.326549 | + | 0.362670i | ||||
\(86\) | −6.94327 | + | 5.04458i | −0.748712 | + | 0.543971i | ||||
\(87\) | 2.98671 | + | 5.17314i | 0.320209 | + | 0.554619i | ||||
\(88\) | 10.1927 | + | 0.626546i | 1.08654 | + | 0.0667900i | ||||
\(89\) | 0.439416 | − | 0.761091i | 0.0465780 | − | 0.0806754i | −0.841796 | − | 0.539795i | \(-0.818502\pi\) |
0.888374 | + | 0.459120i | \(0.151835\pi\) | |||||||
\(90\) | −3.07230 | + | 2.23215i | −0.323848 | + | 0.235290i | ||||
\(91\) | −10.0166 | − | 3.09213i | −1.05003 | − | 0.324143i | ||||
\(92\) | −0.551355 | + | 1.69690i | −0.0574827 | + | 0.176914i | ||||
\(93\) | 2.59334 | − | 1.15463i | 0.268917 | − | 0.119730i | ||||
\(94\) | 9.91530 | − | 4.41458i | 1.02269 | − | 0.455329i | ||||
\(95\) | 15.8749 | − | 3.37432i | 1.62873 | − | 0.346198i | ||||
\(96\) | 1.08414 | + | 3.33664i | 0.110650 | + | 0.340544i | ||||
\(97\) | −6.14985 | − | 2.73809i | −0.624423 | − | 0.278011i | 0.0700348 | − | 0.997545i | \(-0.477689\pi\) |
−0.694458 | + | 0.719534i | \(0.744356\pi\) | |||||||
\(98\) | −0.844586 | − | 1.46287i | −0.0853160 | − | 0.147772i | ||||
\(99\) | −2.36630 | + | 2.32393i | −0.237822 | + | 0.233564i | ||||
\(100\) | 1.84298 | + | 3.19213i | 0.184298 | + | 0.319213i | ||||
\(101\) | 1.11893 | + | 10.6459i | 0.111338 | + | 1.05931i | 0.897416 | + | 0.441184i | \(0.145442\pi\) |
−0.786078 | + | 0.618127i | \(0.787892\pi\) | |||||||
\(102\) | 1.56535 | + | 0.332725i | 0.154992 | + | 0.0329446i | ||||
\(103\) | 5.66221 | − | 17.4265i | 0.557914 | − | 1.71708i | −0.130206 | − | 0.991487i | \(-0.541564\pi\) |
0.688121 | − | 0.725596i | \(-0.258436\pi\) | |||||||
\(104\) | 2.14782 | − | 10.8918i | 0.210611 | − | 1.06803i | ||||
\(105\) | −7.68595 | − | 5.58417i | −0.750072 | − | 0.544959i | ||||
\(106\) | −6.62135 | − | 7.35375i | −0.643122 | − | 0.714260i | ||||
\(107\) | −11.1806 | − | 2.37652i | −1.08087 | − | 0.229747i | −0.367141 | − | 0.930165i | \(-0.619663\pi\) |
−0.713732 | + | 0.700419i | \(0.752997\pi\) | |||||||
\(108\) | −0.593151 | − | 0.264088i | −0.0570760 | − | 0.0254119i | ||||
\(109\) | −1.88991 | −0.181021 | −0.0905104 | − | 0.995896i | \(-0.528850\pi\) | ||||
−0.0905104 | + | 0.995896i | \(0.528850\pi\) | |||||||
\(110\) | −7.83762 | − | 9.85944i | −0.747287 | − | 0.940060i | ||||
\(111\) | 1.35042 | + | 2.33900i | 0.128176 | + | 0.222008i | ||||
\(112\) | 5.36269 | − | 3.89622i | 0.506726 | − | 0.368158i | ||||
\(113\) | 3.08588 | − | 3.42722i | 0.290295 | − | 0.322406i | −0.580303 | − | 0.814401i | \(-0.697066\pi\) |
0.870598 | + | 0.491995i | \(0.163732\pi\) | |||||||
\(114\) | −3.86257 | − | 4.28982i | −0.361763 | − | 0.401779i | ||||
\(115\) | 8.20290 | − | 3.65217i | 0.764925 | − | 0.340566i | ||||
\(116\) | −3.13773 | − | 2.27970i | −0.291331 | − | 0.211665i | ||||
\(117\) | 2.16206 | + | 2.88540i | 0.199882 | + | 0.266755i | ||||
\(118\) | 3.42031 | + | 10.5266i | 0.314865 | + | 0.969054i | ||||
\(119\) | 0.418480 | + | 3.98157i | 0.0383620 | + | 0.364990i | ||||
\(120\) | 5.03042 | − | 8.71294i | 0.459212 | − | 0.795379i | ||||
\(121\) | −8.04029 | − | 7.50691i | −0.730936 | − | 0.682446i | ||||
\(122\) | 10.3237 | 0.934662 | ||||||||
\(123\) | 6.13445 | + | 2.73123i | 0.553124 | + | 0.246267i | ||||
\(124\) | −1.23332 | + | 1.36974i | −0.110755 | + | 0.123006i | ||||
\(125\) | 0.683533 | − | 2.10370i | 0.0611371 | − | 0.188161i | ||||
\(126\) | −0.353210 | + | 3.36057i | −0.0314664 | + | 0.299383i | ||||
\(127\) | −8.82020 | + | 3.92701i | −0.782666 | + | 0.348465i | −0.758862 | − | 0.651251i | \(-0.774244\pi\) |
−0.0238039 | + | 0.999717i | \(0.507578\pi\) | |||||||
\(128\) | 2.02172 | + | 2.24534i | 0.178696 | + | 0.198462i | ||||
\(129\) | 2.28195 | + | 7.02313i | 0.200915 | + | 0.618352i | ||||
\(130\) | −11.7557 | + | 7.02021i | −1.03104 | + | 0.615713i | ||||
\(131\) | 15.0119 | 1.31159 | 0.655797 | − | 0.754937i | \(-0.272333\pi\) | ||||
0.655797 | + | 0.754937i | \(0.272333\pi\) | |||||||
\(132\) | 0.789850 | − | 2.00335i | 0.0687476 | − | 0.174369i | ||||
\(133\) | 7.22055 | − | 12.5064i | 0.626101 | − | 1.08444i | ||||
\(134\) | −10.4590 | − | 4.65666i | −0.903523 | − | 0.402274i | ||||
\(135\) | 1.00973 | + | 3.10763i | 0.0869038 | + | 0.267463i | ||||
\(136\) | −4.14705 | + | 0.881482i | −0.355606 | + | 0.0755865i | ||||
\(137\) | −1.03610 | + | 9.85782i | −0.0885198 | + | 0.842210i | 0.856709 | + | 0.515801i | \(0.172505\pi\) |
−0.945228 | + | 0.326409i | \(0.894161\pi\) | |||||||
\(138\) | −2.58377 | − | 1.87722i | −0.219945 | − | 0.159799i | ||||
\(139\) | −9.33738 | + | 1.98472i | −0.791986 | + | 0.168342i | −0.586105 | − | 0.810235i | \(-0.699339\pi\) |
−0.205881 | + | 0.978577i | \(0.566006\pi\) | |||||||
\(140\) | 6.03364 | + | 1.28249i | 0.509935 | + | 0.108390i | ||||
\(141\) | −0.976177 | − | 9.28770i | −0.0822089 | − | 0.782166i | ||||
\(142\) | −9.22276 | −0.773957 | ||||||||
\(143\) | −9.25021 | + | 7.57850i | −0.773541 | + | 0.633746i | ||||
\(144\) | −2.27986 | −0.189988 | ||||||||
\(145\) | 2.04024 | + | 19.4116i | 0.169433 | + | 1.61205i | ||||
\(146\) | −7.62536 | − | 1.62082i | −0.631080 | − | 0.134140i | ||||
\(147\) | −1.42166 | + | 0.302183i | −0.117257 | + | 0.0249237i | ||||
\(148\) | −1.41870 | − | 1.03075i | −0.116617 | − | 0.0847269i | ||||
\(149\) | 1.94008 | − | 18.4586i | 0.158938 | − | 1.51219i | −0.566591 | − | 0.823999i | \(-0.691738\pi\) |
0.725529 | − | 0.688192i | \(-0.241595\pi\) | |||||||
\(150\) | −6.45359 | + | 1.37175i | −0.526933 | + | 0.112003i | ||||
\(151\) | 4.09245 | + | 12.5953i | 0.333038 | + | 1.02499i | 0.967680 | + | 0.252181i | \(0.0811477\pi\) |
−0.634642 | + | 0.772807i | \(0.718852\pi\) | |||||||
\(152\) | 13.9709 | + | 6.22025i | 1.13319 | + | 0.504529i | ||||
\(153\) | 0.688484 | − | 1.19249i | 0.0556607 | − | 0.0964071i | ||||
\(154\) | −11.1860 | − | 0.687607i | −0.901395 | − | 0.0554090i | ||||
\(155\) | 9.27585 | 0.745054 | ||||||||
\(156\) | −2.04442 | − | 1.14050i | −0.163685 | − | 0.0913132i | ||||
\(157\) | −4.06611 | − | 12.5142i | −0.324511 | − | 0.998741i | −0.971661 | − | 0.236379i | \(-0.924039\pi\) |
0.647150 | − | 0.762363i | \(-0.275961\pi\) | |||||||
\(158\) | 2.40951 | + | 2.67604i | 0.191691 | + | 0.212894i | ||||
\(159\) | −7.77828 | + | 3.46312i | −0.616858 | + | 0.274643i | ||||
\(160\) | −1.19829 | + | 11.4009i | −0.0947329 | + | 0.901324i | ||||
\(161\) | 2.46895 | − | 7.59865i | 0.194581 | − | 0.598858i | ||||
\(162\) | 0.777666 | − | 0.863685i | 0.0610992 | − | 0.0678575i | ||||
\(163\) | 12.5466 | + | 5.58609i | 0.982723 | + | 0.437536i | 0.834254 | − | 0.551381i | \(-0.185899\pi\) |
0.148469 | + | 0.988917i | \(0.452565\pi\) | |||||||
\(164\) | −4.35994 | −0.340454 | ||||||||
\(165\) | −10.1521 | + | 3.79218i | −0.790342 | + | 0.295221i | ||||
\(166\) | −7.53917 | + | 13.0582i | −0.585153 | + | 1.01351i | ||||
\(167\) | 1.80210 | + | 17.1458i | 0.139450 | + | 1.32678i | 0.810661 | + | 0.585516i | \(0.199108\pi\) |
−0.671211 | + | 0.741267i | \(0.734225\pi\) | |||||||
\(168\) | −2.76636 | − | 8.51399i | −0.213430 | − | 0.656869i | ||||
\(169\) | 6.82905 | + | 11.0618i | 0.525311 | + | 0.850910i | ||||
\(170\) | 4.23046 | + | 3.07361i | 0.324461 | + | 0.235735i | ||||
\(171\) | −4.53747 | + | 2.02021i | −0.346989 | + | 0.154490i | ||||
\(172\) | −3.20827 | − | 3.56314i | −0.244628 | − | 0.271687i | ||||
\(173\) | −9.00549 | + | 10.0016i | −0.684675 | + | 0.760408i | −0.980858 | − | 0.194723i | \(-0.937619\pi\) |
0.296184 | + | 0.955131i | \(0.404286\pi\) | |||||||
\(174\) | 5.61647 | − | 4.08060i | 0.425783 | − | 0.309350i | ||||
\(175\) | −8.25279 | − | 14.2943i | −0.623853 | − | 1.08054i | ||||
\(176\) | −0.327511 | − | 7.55435i | −0.0246870 | − | 0.569430i | ||||
\(177\) | 9.52359 | 0.715837 | ||||||||
\(178\) | −0.933078 | − | 0.415433i | −0.0699371 | − | 0.0311380i | ||||
\(179\) | 11.3783 | + | 2.41854i | 0.850457 | + | 0.180770i | 0.612466 | − | 0.790497i | \(-0.290178\pi\) |
0.237991 | + | 0.971267i | \(0.423511\pi\) | |||||||
\(180\) | −1.41961 | − | 1.57664i | −0.105812 | − | 0.117516i | ||||
\(181\) | −10.4111 | − | 7.56408i | −0.773848 | − | 0.562234i | 0.129278 | − | 0.991608i | \(-0.458734\pi\) |
−0.903126 | + | 0.429375i | \(0.858734\pi\) | |||||||
\(182\) | −2.35714 | + | 11.9532i | −0.174723 | + | 0.886034i | ||||
\(183\) | 2.74495 | − | 8.44810i | 0.202913 | − | 0.624501i | ||||
\(184\) | 8.27616 | + | 1.75915i | 0.610127 | + | 0.129686i | ||||
\(185\) | 0.922480 | + | 8.77681i | 0.0678220 | + | 0.645284i | ||||
\(186\) | −1.64961 | − | 2.85721i | −0.120955 | − | 0.209501i | ||||
\(187\) | 4.05023 | + | 2.11000i | 0.296182 | + | 0.154298i | ||||
\(188\) | 3.03179 | + | 5.25121i | 0.221116 | + | 0.382984i | ||||
\(189\) | 2.65611 | + | 1.18258i | 0.193204 | + | 0.0860198i | ||||
\(190\) | −5.82870 | − | 17.9389i | −0.422859 | − | 1.30142i | ||||
\(191\) | 11.1971 | − | 2.38002i | 0.810195 | − | 0.172212i | 0.215854 | − | 0.976426i | \(-0.430746\pi\) |
0.594341 | + | 0.804213i | \(0.297413\pi\) | |||||||
\(192\) | 7.89042 | − | 3.51304i | 0.569442 | − | 0.253532i | ||||
\(193\) | 18.1971 | − | 8.10189i | 1.30986 | − | 0.583187i | 0.371367 | − | 0.928486i | \(-0.378889\pi\) |
0.938493 | + | 0.345299i | \(0.112223\pi\) | |||||||
\(194\) | −2.41768 | + | 7.44085i | −0.173579 | + | 0.534222i | ||||
\(195\) | 2.61908 | + | 11.4865i | 0.187556 | + | 0.822569i | ||||
\(196\) | 0.763456 | − | 0.554684i | 0.0545326 | − | 0.0396203i | ||||
\(197\) | −1.78862 | + | 3.09799i | −0.127434 | + | 0.220722i | −0.922682 | − | 0.385562i | \(-0.874007\pi\) |
0.795248 | + | 0.606285i | \(0.207341\pi\) | |||||||
\(198\) | 2.97355 | + | 2.45273i | 0.211321 | + | 0.174308i | ||||
\(199\) | 12.1819 | + | 21.0997i | 0.863554 | + | 1.49572i | 0.868476 | + | 0.495731i | \(0.165100\pi\) |
−0.00492211 | + | 0.999988i | \(0.501567\pi\) | |||||||
\(200\) | 14.1411 | − | 10.2741i | 0.999926 | − | 0.726489i | ||||
\(201\) | −6.59159 | + | 7.32071i | −0.464935 | + | 0.516363i | ||||
\(202\) | 12.1690 | − | 2.58661i | 0.856211 | − | 0.181993i | ||||
\(203\) | 14.0507 | + | 10.2084i | 0.986165 | + | 0.716491i | ||||
\(204\) | −0.0934531 | + | 0.889146i | −0.00654302 | + | 0.0622527i | ||||
\(205\) | 14.6818 | + | 16.3058i | 1.02542 | + | 1.13885i | ||||
\(206\) | −20.8300 | − | 4.42756i | −1.45130 | − | 0.308483i | ||||
\(207\) | −2.22316 | + | 1.61522i | −0.154521 | + | 0.112266i | ||||
\(208\) | −8.18690 | − | 0.738642i | −0.567660 | − | 0.0512156i | ||||
\(209\) | −7.34583 | − | 14.7448i | −0.508122 | − | 1.01992i | ||||
\(210\) | −5.52067 | + | 9.56208i | −0.380962 | + | 0.659846i | ||||
\(211\) | −1.79798 | − | 17.1067i | −0.123778 | − | 1.17767i | −0.863354 | − | 0.504599i | \(-0.831640\pi\) |
0.739576 | − | 0.673074i | \(-0.235026\pi\) | |||||||
\(212\) | 3.69913 | − | 4.10830i | 0.254057 | − | 0.282159i | ||||
\(213\) | −2.45223 | + | 7.54719i | −0.168024 | + | 0.517125i | ||||
\(214\) | −1.38860 | + | 13.2117i | −0.0949230 | + | 0.903132i | ||||
\(215\) | −2.52222 | + | 23.9973i | −0.172014 | + | 1.63660i | ||||
\(216\) | −0.951465 | + | 2.92831i | −0.0647390 | + | 0.199246i | ||||
\(217\) | 5.52277 | − | 6.13366i | 0.374910 | − | 0.416380i | ||||
\(218\) | 0.229593 | + | 2.18443i | 0.0155500 | + | 0.147948i | ||||
\(219\) | −3.35385 | + | 5.80905i | −0.226632 | + | 0.392539i | ||||
\(220\) | 5.02028 | − | 4.93039i | 0.338467 | − | 0.332407i | ||||
\(221\) | 2.85867 | − | 4.05913i | 0.192295 | − | 0.273047i | ||||
\(222\) | 2.53944 | − | 1.84501i | 0.170436 | − | 0.123829i | ||||
\(223\) | 22.5227 | + | 4.78735i | 1.50823 | + | 0.320585i | 0.886531 | − | 0.462670i | \(-0.153108\pi\) |
0.621701 | + | 0.783254i | \(0.286442\pi\) | |||||||
\(224\) | 6.82543 | + | 7.58041i | 0.456043 | + | 0.506487i | ||||
\(225\) | −0.593402 | + | 5.64585i | −0.0395602 | + | 0.376390i | ||||
\(226\) | −4.33619 | − | 3.15042i | −0.288439 | − | 0.209563i | ||||
\(227\) | −26.4723 | + | 5.62686i | −1.75703 | + | 0.373468i | −0.969935 | − | 0.243365i | \(-0.921749\pi\) |
−0.787094 | + | 0.616833i | \(0.788415\pi\) | |||||||
\(228\) | 2.15789 | − | 2.39658i | 0.142910 | − | 0.158718i | ||||
\(229\) | 21.8969 | − | 15.9090i | 1.44699 | − | 1.05130i | 0.460464 | − | 0.887678i | \(-0.347683\pi\) |
0.986523 | − | 0.163620i | \(-0.0523171\pi\) | |||||||
\(230\) | −5.21782 | − | 9.03754i | −0.344053 | − | 0.595917i | ||||
\(231\) | −3.53692 | + | 8.97094i | −0.232713 | + | 0.590245i | ||||
\(232\) | −9.19611 | + | 15.9281i | −0.603754 | + | 1.04573i | ||||
\(233\) | −7.59718 | + | 5.51967i | −0.497708 | + | 0.361606i | −0.808141 | − | 0.588989i | \(-0.799526\pi\) |
0.310433 | + | 0.950595i | \(0.399526\pi\) | |||||||
\(234\) | 3.07239 | − | 2.84951i | 0.200849 | − | 0.186278i | ||||
\(235\) | 9.42974 | − | 29.0218i | 0.615129 | − | 1.89317i | ||||
\(236\) | −5.64892 | + | 2.51506i | −0.367714 | + | 0.163717i | ||||
\(237\) | 2.83052 | − | 1.26023i | 0.183862 | − | 0.0818608i | ||||
\(238\) | 4.55121 | − | 0.967389i | 0.295011 | − | 0.0627065i | ||||
\(239\) | 5.78288 | + | 17.7979i | 0.374063 | + | 1.15125i | 0.944108 | + | 0.329635i | \(0.106926\pi\) |
−0.570045 | + | 0.821613i | \(0.693074\pi\) | |||||||
\(240\) | −6.80553 | − | 3.03002i | −0.439295 | − | 0.195587i | ||||
\(241\) | −4.60253 | − | 7.97182i | −0.296475 | − | 0.513510i | 0.678852 | − | 0.734275i | \(-0.262478\pi\) |
−0.975327 | + | 0.220765i | \(0.929145\pi\) | |||||||
\(242\) | −7.70000 | + | 10.2052i | −0.494975 | + | 0.656017i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.602868 | + | 5.73590i | 0.0385946 | + | 0.367204i | ||||
\(245\) | −4.64536 | − | 0.987402i | −0.296781 | − | 0.0630828i | ||||
\(246\) | 2.41162 | − | 7.42221i | 0.153760 | − | 0.473223i | ||||
\(247\) | −16.9484 | + | 5.78444i | −1.07840 | + | 0.368055i | ||||
\(248\) | 7.07128 | + | 5.13759i | 0.449027 | + | 0.326237i | ||||
\(249\) | 8.68125 | + | 9.64151i | 0.550152 | + | 0.611006i | ||||
\(250\) | −2.51457 | − | 0.534488i | −0.159035 | − | 0.0338040i | ||||
\(251\) | −17.3112 | − | 7.70746i | −1.09268 | − | 0.486491i | −0.220353 | − | 0.975420i | \(-0.570721\pi\) |
−0.872323 | + | 0.488929i | \(0.837388\pi\) | |||||||
\(252\) | −1.88778 | −0.118919 | ||||||||
\(253\) | −5.67143 | − | 7.13445i | −0.356560 | − | 0.448539i | ||||
\(254\) | 5.61048 | + | 9.71764i | 0.352033 | + | 0.609739i | ||||
\(255\) | 3.64003 | − | 2.64464i | 0.227948 | − | 0.165614i | ||||
\(256\) | −9.20910 | + | 10.2277i | −0.575569 | + | 0.639234i | ||||
\(257\) | −9.33587 | − | 10.3685i | −0.582355 | − | 0.646771i | 0.377916 | − | 0.925840i | \(-0.376641\pi\) |
−0.960271 | + | 0.279069i | \(0.909974\pi\) | |||||||
\(258\) | 7.84037 | − | 3.49076i | 0.488120 | − | 0.217325i | ||||
\(259\) | 6.35291 | + | 4.61566i | 0.394751 | + | 0.286803i | ||||
\(260\) | −4.58697 | − | 6.12158i | −0.284472 | − | 0.379645i | ||||
\(261\) | −1.84589 | − | 5.68107i | −0.114258 | − | 0.351649i | ||||
\(262\) | −1.82369 | − | 17.3513i | −0.112668 | − | 1.07197i | ||||
\(263\) | −5.33872 | + | 9.24694i | −0.329200 | + | 0.570191i | −0.982353 | − | 0.187035i | \(-0.940112\pi\) |
0.653154 | + | 0.757226i | \(0.273446\pi\) | |||||||
\(264\) | −9.83967 | − | 2.73203i | −0.605590 | − | 0.168145i | ||||
\(265\) | −27.8213 | −1.70905 | ||||||||
\(266\) | −15.3325 | − | 6.82646i | −0.940095 | − | 0.418557i | ||||
\(267\) | −0.588053 | + | 0.653099i | −0.0359883 | + | 0.0399690i | ||||
\(268\) | 1.97650 | − | 6.08304i | 0.120734 | − | 0.371581i | ||||
\(269\) | −2.30329 | + | 21.9143i | −0.140434 | + | 1.33614i | 0.666502 | + | 0.745503i | \(0.267791\pi\) |
−0.806936 | + | 0.590638i | \(0.798876\pi\) | |||||||
\(270\) | 3.46925 | − | 1.54461i | 0.211132 | − | 0.0940020i | ||||
\(271\) | −12.8090 | − | 14.2258i | −0.778088 | − | 0.864155i | 0.215582 | − | 0.976486i | \(-0.430835\pi\) |
−0.993671 | + | 0.112331i | \(0.964168\pi\) | |||||||
\(272\) | 0.970096 | + | 2.98565i | 0.0588207 | + | 0.181032i | ||||
\(273\) | 9.15487 | + | 5.10714i | 0.554078 | + | 0.309098i | ||||
\(274\) | 11.5199 | 0.695942 | ||||||||
\(275\) | −18.7928 | − | 1.15520i | −1.13325 | − | 0.0696611i | ||||
\(276\) | 0.892111 | − | 1.54518i | 0.0536988 | − | 0.0930090i | ||||
\(277\) | −9.49880 | − | 4.22914i | −0.570727 | − | 0.254104i | 0.101020 | − | 0.994884i | \(-0.467789\pi\) |
−0.671748 | + | 0.740780i | \(0.734456\pi\) | |||||||
\(278\) | 3.42835 | + | 10.5514i | 0.205619 | + | 0.632829i | ||||
\(279\) | −2.77674 | + | 0.590213i | −0.166239 | + | 0.0353351i | ||||
\(280\) | 3.05763 | − | 29.0914i | 0.182728 | − | 1.73854i | ||||
\(281\) | −18.4923 | − | 13.4355i | −1.10316 | − | 0.801492i | −0.121586 | − | 0.992581i | \(-0.538798\pi\) |
−0.981573 | + | 0.191089i | \(0.938798\pi\) | |||||||
\(282\) | −10.6165 | + | 2.25660i | −0.632202 | + | 0.134379i | ||||
\(283\) | −10.3401 | − | 2.19785i | −0.614655 | − | 0.130649i | −0.109944 | − | 0.993938i | \(-0.535067\pi\) |
−0.504710 | + | 0.863289i | \(0.668401\pi\) | |||||||
\(284\) | −0.538578 | − | 5.12423i | −0.0319587 | − | 0.304067i | ||||
\(285\) | −16.2296 | −0.961358 | ||||||||
\(286\) | 9.88325 | + | 9.77106i | 0.584409 | + | 0.577775i | ||||
\(287\) | 19.5237 | 1.15245 | ||||||||
\(288\) | −0.366722 | − | 3.48913i | −0.0216093 | − | 0.205599i | ||||
\(289\) | 14.7739 | + | 3.14029i | 0.869053 | + | 0.184723i | ||||
\(290\) | 22.1888 | − | 4.71637i | 1.30297 | − | 0.276955i | ||||
\(291\) | 5.44618 | + | 3.95688i | 0.319261 | + | 0.231957i | ||||
\(292\) | 0.455243 | − | 4.33135i | 0.0266411 | − | 0.253473i | ||||
\(293\) | −2.01808 | + | 0.428957i | −0.117898 | + | 0.0250599i | −0.266483 | − | 0.963840i | \(-0.585862\pi\) |
0.148585 | + | 0.988900i | \(0.452528\pi\) | |||||||
\(294\) | 0.521983 | + | 1.60650i | 0.0304426 | + | 0.0936928i | ||||
\(295\) | 28.4285 | + | 12.6572i | 1.65517 | + | 0.736930i | ||||
\(296\) | −4.15795 | + | 7.20178i | −0.241676 | + | 0.418595i | ||||
\(297\) | 2.79776 | − | 1.78116i | 0.162342 | − | 0.103354i | ||||
\(298\) | −21.5709 | −1.24957 | ||||||||
\(299\) | −8.50661 | + | 5.07994i | −0.491950 | + | 0.293780i | ||||
\(300\) | −1.13902 | − | 3.50555i | −0.0657614 | − | 0.202393i | ||||
\(301\) | 14.3665 | + | 15.9556i | 0.828073 | + | 0.919668i | ||||
\(302\) | 14.0609 | − | 6.26031i | 0.809113 | − | 0.360240i | ||||
\(303\) | 1.11893 | − | 10.6459i | 0.0642811 | − | 0.611594i | ||||
\(304\) | 3.49925 | − | 10.7696i | 0.200696 | − | 0.617678i | ||||
\(305\) | 19.4217 | − | 21.5700i | 1.11208 | − | 1.23509i | ||||
\(306\) | −1.46196 | − | 0.650908i | −0.0835748 | − | 0.0372099i | ||||
\(307\) | −9.61852 | −0.548958 | −0.274479 | − | 0.961593i | \(-0.588505\pi\) | ||||
−0.274479 | + | 0.961593i | \(0.588505\pi\) | |||||||
\(308\) | −0.271187 | − | 6.25518i | −0.0154523 | − | 0.356422i | ||||
\(309\) | −9.16165 | + | 15.8684i | −0.521188 | + | 0.902724i | ||||
\(310\) | −1.12686 | − | 10.7214i | −0.0640014 | − | 0.608932i | ||||
\(311\) | 7.05019 | + | 21.6982i | 0.399780 | + | 1.23039i | 0.925176 | + | 0.379538i | \(0.123917\pi\) |
−0.525397 | + | 0.850857i | \(0.676083\pi\) | |||||||
\(312\) | −4.36541 | + | 10.2072i | −0.247143 | + | 0.577869i | ||||
\(313\) | −0.999964 | − | 0.726516i | −0.0565213 | − | 0.0410651i | 0.559166 | − | 0.829056i | \(-0.311121\pi\) |
−0.615687 | + | 0.787991i | \(0.711121\pi\) | |||||||
\(314\) | −13.9704 | + | 6.22002i | −0.788395 | + | 0.351016i | ||||
\(315\) | 6.35698 | + | 7.06014i | 0.358175 | + | 0.397794i | ||||
\(316\) | −1.34612 | + | 1.49501i | −0.0757249 | + | 0.0841011i | ||||
\(317\) | 0.820713 | − | 0.596283i | 0.0460958 | − | 0.0334906i | −0.564499 | − | 0.825434i | \(-0.690931\pi\) |
0.610595 | + | 0.791943i | \(0.290931\pi\) | |||||||
\(318\) | 4.94773 | + | 8.56971i | 0.277455 | + | 0.480566i | ||||
\(319\) | 18.5591 | − | 6.93249i | 1.03911 | − | 0.388145i | ||||
\(320\) | 28.2224 | 1.57768 | ||||||||
\(321\) | 10.4422 | + | 4.64917i | 0.582827 | + | 0.259491i | ||||
\(322\) | −9.08273 | − | 1.93059i | −0.506161 | − | 0.107588i | ||||
\(323\) | 4.57635 | + | 5.08255i | 0.254635 | + | 0.282801i | ||||
\(324\) | 0.525282 | + | 0.381640i | 0.0291823 | + | 0.0212022i | ||||
\(325\) | −3.96006 | + | 20.0818i | −0.219665 | + | 1.11394i | ||||
\(326\) | 4.93241 | − | 15.1804i | 0.273181 | − | 0.840764i | ||||
\(327\) | 1.84861 | + | 0.392935i | 0.102229 | + | 0.0217293i | ||||
\(328\) | 2.16118 | + | 20.5622i | 0.119331 | + | 1.13536i | ||||
\(329\) | −13.5763 | − | 23.5148i | −0.748484 | − | 1.29641i | ||||
\(330\) | 5.61645 | + | 11.2735i | 0.309176 | + | 0.620587i | ||||
\(331\) | −6.73311 | − | 11.6621i | −0.370085 | − | 0.641006i | 0.619493 | − | 0.785002i | \(-0.287338\pi\) |
−0.989578 | + | 0.143996i | \(0.954005\pi\) | |||||||
\(332\) | −7.69549 | − | 3.42625i | −0.422345 | − | 0.188040i | ||||
\(333\) | −0.834605 | − | 2.56865i | −0.0457361 | − | 0.140761i | ||||
\(334\) | 19.5988 | − | 4.16586i | 1.07240 | − | 0.227946i | ||||
\(335\) | −29.4058 | + | 13.0923i | −1.60661 | + | 0.715310i | ||||
\(336\) | −6.05557 | + | 2.69611i | −0.330358 | + | 0.147085i | ||||
\(337\) | −1.43929 | + | 4.42967i | −0.0784029 | + | 0.241299i | −0.982574 | − | 0.185871i | \(-0.940489\pi\) |
0.904171 | + | 0.427170i | \(0.140489\pi\) | |||||||
\(338\) | 11.9561 | − | 9.23709i | 0.650324 | − | 0.502431i | ||||
\(339\) | −3.73101 | + | 2.71073i | −0.202640 | + | 0.147227i | ||||
\(340\) | −1.46067 | + | 2.52996i | −0.0792160 | + | 0.137206i | ||||
\(341\) | −2.35457 | − | 9.11596i | −0.127507 | − | 0.493657i | ||||
\(342\) | 2.88626 | + | 4.99916i | 0.156071 | + | 0.270323i | ||||
\(343\) | 13.0467 | − | 9.47895i | 0.704453 | − | 0.511815i | ||||
\(344\) | −15.2141 | + | 16.8970i | −0.820289 | + | 0.911023i | ||||
\(345\) | −8.78298 | + | 1.86688i | −0.472860 | + | 0.100509i | ||||
\(346\) | 12.6542 | + | 9.19384i | 0.680296 | + | 0.494264i | ||||
\(347\) | 0.537599 | − | 5.11492i | 0.0288598 | − | 0.274583i | −0.970570 | − | 0.240819i | \(-0.922584\pi\) |
0.999430 | − | 0.0337639i | \(-0.0107494\pi\) | |||||||
\(348\) | 2.59519 | + | 2.88225i | 0.139117 | + | 0.154505i | ||||
\(349\) | −1.68527 | − | 0.358214i | −0.0902102 | − | 0.0191748i | 0.162585 | − | 0.986694i | \(-0.448017\pi\) |
−0.252796 | + | 0.967520i | \(0.581350\pi\) | |||||||
\(350\) | −15.5192 | + | 11.2754i | −0.829539 | + | 0.602695i | ||||
\(351\) | −1.51490 | − | 3.27186i | −0.0808596 | − | 0.174639i | ||||
\(352\) | 11.5086 | − | 1.71637i | 0.613410 | − | 0.0914826i | ||||
\(353\) | 2.81246 | − | 4.87133i | 0.149692 | − | 0.259275i | −0.781421 | − | 0.624004i | \(-0.785505\pi\) |
0.931114 | + | 0.364729i | \(0.118838\pi\) | |||||||
\(354\) | −1.15696 | − | 11.0077i | −0.0614916 | − | 0.585053i | ||||
\(355\) | −17.3506 | + | 19.2697i | −0.920872 | + | 1.02273i | ||||
\(356\) | 0.176329 | − | 0.542684i | 0.00934540 | − | 0.0287622i | ||||
\(357\) | 0.418480 | − | 3.98157i | 0.0221483 | − | 0.210727i | ||||
\(358\) | 1.41316 | − | 13.4453i | 0.0746878 | − | 0.710607i | ||||
\(359\) | 1.25145 | − | 3.85156i | 0.0660489 | − | 0.203278i | −0.912585 | − | 0.408886i | \(-0.865917\pi\) |
0.978634 | + | 0.205608i | \(0.0659173\pi\) | |||||||
\(360\) | −6.73201 | + | 7.47666i | −0.354808 | + | 0.394054i | ||||
\(361\) | −0.592670 | − | 5.63888i | −0.0311931 | − | 0.296783i | ||||
\(362\) | −7.47807 | + | 12.9524i | −0.393039 | + | 0.680763i | ||||
\(363\) | 6.30382 | + | 9.01454i | 0.330865 | + | 0.473141i | ||||
\(364\) | −6.77895 | − | 0.611613i | −0.355314 | − | 0.0320572i | ||||
\(365\) | −17.7319 | + | 12.8830i | −0.928130 | + | 0.674326i | ||||
\(366\) | −10.0981 | − | 2.14641i | −0.527835 | − | 0.112195i | ||||
\(367\) | 10.1942 | + | 11.3218i | 0.532133 | + | 0.590993i | 0.947936 | − | 0.318461i | \(-0.103166\pi\) |
−0.415803 | + | 0.909455i | \(0.636499\pi\) | |||||||
\(368\) | 0.654873 | − | 6.23070i | 0.0341376 | − | 0.324798i | ||||
\(369\) | −5.43254 | − | 3.94697i | −0.282807 | − | 0.205471i | ||||
\(370\) | 10.0325 | − | 2.13247i | 0.521564 | − | 0.110862i | ||||
\(371\) | −16.5646 | + | 18.3968i | −0.859991 | + | 0.955117i | ||||
\(372\) | 1.49115 | − | 1.08339i | 0.0773128 | − | 0.0561710i | ||||
\(373\) | −14.4054 | − | 24.9509i | −0.745885 | − | 1.29191i | −0.949780 | − | 0.312918i | \(-0.898693\pi\) |
0.203895 | − | 0.978993i | \(-0.434640\pi\) | |||||||
\(374\) | 1.94677 | − | 4.93774i | 0.100665 | − | 0.255324i | ||||
\(375\) | −1.10598 | + | 1.91561i | −0.0571126 | + | 0.0989219i | ||||
\(376\) | 23.2628 | − | 16.9014i | 1.19969 | − | 0.871624i | ||||
\(377\) | −4.78795 | − | 20.9986i | −0.246592 | − | 1.08148i | ||||
\(378\) | 1.04419 | − | 3.21369i | 0.0537075 | − | 0.165295i | ||||
\(379\) | 13.6646 | − | 6.08385i | 0.701901 | − | 0.312506i | −0.0245754 | − | 0.999698i | \(-0.507823\pi\) |
0.726476 | + | 0.687192i | \(0.241157\pi\) | |||||||
\(380\) | 9.62659 | − | 4.28604i | 0.493834 | − | 0.219869i | ||||
\(381\) | 9.44393 | − | 2.00737i | 0.483827 | − | 0.102841i | ||||
\(382\) | −4.11117 | − | 12.6529i | −0.210346 | − | 0.647378i | ||||
\(383\) | −7.65627 | − | 3.40879i | −0.391217 | − | 0.174181i | 0.201695 | − | 0.979448i | \(-0.435355\pi\) |
−0.592912 | + | 0.805267i | \(0.702022\pi\) | |||||||
\(384\) | −1.51070 | − | 2.61661i | −0.0770928 | − | 0.133529i | ||||
\(385\) | −22.4807 | + | 22.0781i | −1.14572 | + | 1.12521i | ||||
\(386\) | −11.5751 | − | 20.0487i | −0.589157 | − | 1.02045i | ||||
\(387\) | −0.771896 | − | 7.34410i | −0.0392377 | − | 0.373322i | ||||
\(388\) | −4.27537 | − | 0.908758i | −0.217049 | − | 0.0461352i | ||||
\(389\) | 3.15629 | − | 9.71407i | 0.160030 | − | 0.492523i | −0.838605 | − | 0.544739i | \(-0.816629\pi\) |
0.998636 | + | 0.0522164i | \(0.0166285\pi\) | |||||||
\(390\) | 12.9584 | − | 4.42265i | 0.656174 | − | 0.223950i | ||||
\(391\) | 3.06123 | + | 2.22411i | 0.154813 | + | 0.112478i | ||||
\(392\) | −2.99442 | − | 3.32564i | −0.151241 | − | 0.167970i | ||||
\(393\) | −14.6838 | − | 3.12115i | −0.740702 | − | 0.157441i | ||||
\(394\) | 3.79805 | + | 1.69100i | 0.191343 | + | 0.0851915i | ||||
\(395\) | 10.1242 | 0.509403 | ||||||||
\(396\) | −1.18911 | + | 1.79535i | −0.0597550 | + | 0.0902199i | ||||
\(397\) | −18.4894 | − | 32.0246i | −0.927956 | − | 1.60727i | −0.786736 | − | 0.617289i | \(-0.788231\pi\) |
−0.141220 | − | 0.989978i | \(-0.545102\pi\) | |||||||
\(398\) | 22.9079 | − | 16.6436i | 1.14827 | − | 0.834267i | ||||
\(399\) | −9.66298 | + | 10.7318i | −0.483754 | + | 0.537263i | ||||
\(400\) | −8.66032 | − | 9.61826i | −0.433016 | − | 0.480913i | ||||
\(401\) | 12.9583 | − | 5.76940i | 0.647106 | − | 0.288110i | −0.0568192 | − | 0.998384i | \(-0.518096\pi\) |
0.703925 | + | 0.710274i | \(0.251429\pi\) | |||||||
\(402\) | 9.26231 | + | 6.72946i | 0.461962 | + | 0.335635i | ||||
\(403\) | −10.1624 | + | 1.21981i | −0.506224 | + | 0.0607633i | ||||
\(404\) | 2.14777 | + | 6.61015i | 0.106855 | + | 0.328867i | ||||
\(405\) | −0.341553 | − | 3.24966i | −0.0169719 | − | 0.161477i | ||||
\(406\) | 10.0923 | − | 17.4804i | 0.500874 | − | 0.867540i | ||||
\(407\) | 8.39136 | − | 3.13447i | 0.415944 | − | 0.155370i | ||||
\(408\) | 4.23969 | 0.209896 | ||||||||
\(409\) | 21.0088 | + | 9.35372i | 1.03882 | + | 0.462512i | 0.854007 | − | 0.520262i | \(-0.174166\pi\) |
0.184812 | + | 0.982774i | \(0.440832\pi\) | |||||||
\(410\) | 17.0632 | − | 18.9507i | 0.842694 | − | 0.935906i | ||||
\(411\) | 3.06301 | − | 9.42698i | 0.151087 | − | 0.464999i | ||||
\(412\) | 1.24358 | − | 11.8319i | 0.0612667 | − | 0.582914i | ||||
\(413\) | 25.2957 | − | 11.2624i | 1.24472 | − | 0.554185i | ||||
\(414\) | 2.13701 | + | 2.37339i | 0.105028 | + | 0.116646i | ||||
\(415\) | 13.1002 | + | 40.3182i | 0.643063 | + | 1.97914i | ||||
\(416\) | −0.186460 | − | 12.6482i | −0.00914197 | − | 0.620127i | ||||
\(417\) | 9.54598 | 0.467469 | ||||||||
\(418\) | −16.1501 | + | 10.2818i | −0.789929 | + | 0.502900i | ||||
\(419\) | 11.2137 | − | 19.4227i | 0.547825 | − | 0.948861i | −0.450598 | − | 0.892727i | \(-0.648789\pi\) |
0.998423 | − | 0.0561339i | \(-0.0178774\pi\) | |||||||
\(420\) | −5.63514 | − | 2.50893i | −0.274967 | − | 0.122423i | ||||
\(421\) | −0.175380 | − | 0.539763i | −0.00854748 | − | 0.0263064i | 0.946692 | − | 0.322141i | \(-0.104402\pi\) |
−0.955239 | + | 0.295834i | \(0.904402\pi\) | |||||||
\(422\) | −19.5541 | + | 4.15635i | −0.951878 | + | 0.202328i | ||||
\(423\) | −0.976177 | + | 9.28770i | −0.0474633 | + | 0.451584i | ||||
\(424\) | −21.2091 | − | 15.4093i | −1.03000 | − | 0.748342i | ||||
\(425\) | 7.64616 | − | 1.62524i | 0.370893 | − | 0.0788358i | ||||
\(426\) | 9.02122 | + | 1.91752i | 0.437080 | + | 0.0929041i | ||||
\(427\) | −2.69962 | − | 25.6852i | −0.130644 | − | 1.24299i | ||||
\(428\) | −7.42159 | −0.358736 | ||||||||
\(429\) | 10.6237 | − | 5.48967i | 0.512918 | − | 0.265044i | ||||
\(430\) | 28.0434 | 1.35237 | ||||||||
\(431\) | −1.74728 | − | 16.6242i | −0.0841634 | − | 0.800761i | −0.952449 | − | 0.304697i | \(-0.901445\pi\) |
0.868286 | − | 0.496064i | \(-0.165222\pi\) | |||||||
\(432\) | 2.23004 | + | 0.474010i | 0.107293 | + | 0.0228058i | ||||
\(433\) | −2.45243 | + | 0.521280i | −0.117856 | + | 0.0250511i | −0.266462 | − | 0.963845i | \(-0.585855\pi\) |
0.148606 | + | 0.988896i | \(0.452521\pi\) | |||||||
\(434\) | −7.76043 | − | 5.63829i | −0.372513 | − | 0.270646i | ||||
\(435\) | 2.04024 | − | 19.4116i | 0.0978221 | − | 0.930715i | ||||
\(436\) | −1.20028 | + | 0.255126i | −0.0574828 | + | 0.0122183i | ||||
\(437\) | −4.21774 | − | 12.9809i | −0.201762 | − | 0.620960i | ||||
\(438\) | 7.12174 | + | 3.17080i | 0.340290 | + | 0.151507i | ||||
\(439\) | −17.0339 | + | 29.5036i | −0.812985 | + | 1.40813i | 0.0977801 | + | 0.995208i | \(0.468826\pi\) |
−0.910765 | + | 0.412924i | \(0.864508\pi\) | |||||||
\(440\) | −25.7411 | − | 21.2326i | −1.22716 | − | 1.01222i | ||||
\(441\) | 1.45342 | 0.0692106 | ||||||||
\(442\) | −5.03897 | − | 2.81104i | −0.239679 | − | 0.133708i | ||||
\(443\) | 7.25561 | + | 22.3305i | 0.344724 | + | 1.06095i | 0.961731 | + | 0.273995i | \(0.0883451\pi\) |
−0.617007 | + | 0.786958i | \(0.711655\pi\) | |||||||
\(444\) | 1.17340 | + | 1.30319i | 0.0556869 | + | 0.0618466i | ||||
\(445\) | −2.62337 | + | 1.16800i | −0.124360 | + | 0.0553685i | ||||
\(446\) | 2.79726 | − | 26.6141i | 0.132454 | − | 1.26022i | ||||
\(447\) | −5.73545 | + | 17.6519i | −0.271278 | + | 0.834907i | ||||
\(448\) | 16.8034 | − | 18.6621i | 0.793886 | − | 0.881699i | ||||
\(449\) | −30.8316 | − | 13.7271i | −1.45503 | − | 0.647823i | −0.481517 | − | 0.876437i | \(-0.659914\pi\) |
−0.973517 | + | 0.228613i | \(0.926581\pi\) | |||||||
\(450\) | 6.59776 | 0.311022 | ||||||||
\(451\) | 12.2979 | − | 18.5678i | 0.579087 | − | 0.874323i | ||||
\(452\) | 1.49718 | − | 2.59319i | 0.0704213 | − | 0.121973i | ||||
\(453\) | −1.38432 | − | 13.1709i | −0.0650408 | − | 0.618822i | ||||
\(454\) | 9.71967 | + | 29.9141i | 0.456167 | + | 1.40394i | ||||
\(455\) | 20.5403 | + | 27.4123i | 0.962944 | + | 1.28511i | ||||
\(456\) | −12.3724 | − | 8.98904i | −0.579388 | − | 0.420950i | ||||
\(457\) | 10.0600 | − | 4.47901i | 0.470588 | − | 0.209519i | −0.157720 | − | 0.987484i | \(-0.550414\pi\) |
0.628308 | + | 0.777965i | \(0.283748\pi\) | |||||||
\(458\) | −21.0483 | − | 23.3766i | −0.983524 | − | 1.09231i | ||||
\(459\) | −0.921372 | + | 1.02329i | −0.0430060 | + | 0.0477630i | ||||
\(460\) | 4.71661 | − | 3.42682i | 0.219913 | − | 0.159776i | ||||
\(461\) | 19.4974 | + | 33.7706i | 0.908087 | + | 1.57285i | 0.816719 | + | 0.577035i | \(0.195790\pi\) |
0.0913673 | + | 0.995817i | \(0.470876\pi\) | |||||||
\(462\) | 10.7986 | + | 2.99829i | 0.502397 | + | 0.139493i | ||||
\(463\) | −6.15961 | −0.286262 | −0.143131 | − | 0.989704i | \(-0.545717\pi\) | ||||
−0.143131 | + | 0.989704i | \(0.545717\pi\) | |||||||
\(464\) | 12.4412 | + | 5.53918i | 0.577568 | + | 0.257150i | ||||
\(465\) | −9.07315 | − | 1.92856i | −0.420757 | − | 0.0894347i | ||||
\(466\) | 7.30277 | + | 8.11055i | 0.338294 | + | 0.375714i | ||||
\(467\) | −3.74340 | − | 2.71974i | −0.173224 | − | 0.125854i | 0.497795 | − | 0.867295i | \(-0.334143\pi\) |
−0.671019 | + | 0.741440i | \(0.734143\pi\) | |||||||
\(468\) | 1.76262 | + | 1.54064i | 0.0814773 | + | 0.0712161i | ||||
\(469\) | −8.85071 | + | 27.2397i | −0.408688 | + | 1.25781i | ||||
\(470\) | −34.6900 | − | 7.37358i | −1.60013 | − | 0.340118i | ||||
\(471\) | 1.37541 | + | 13.0861i | 0.0633754 | + | 0.602977i | ||||
\(472\) | 14.6616 | + | 25.3946i | 0.674854 | + | 1.16888i | ||||
\(473\) | 24.2239 | − | 3.61270i | 1.11382 | − | 0.166112i | ||||
\(474\) | −1.80048 | − | 3.11853i | −0.0826989 | − | 0.143239i | ||||
\(475\) | −25.7590 | − | 11.4686i | −1.18190 | − | 0.526217i | ||||
\(476\) | 0.803263 | + | 2.47219i | 0.0368175 | + | 0.113313i | ||||
\(477\) | 8.32833 | − | 1.77024i | 0.381328 | − | 0.0810538i | ||||
\(478\) | 19.8689 | − | 8.84620i | 0.908782 | − | 0.404616i | ||||
\(479\) | 33.4267 | − | 14.8825i | 1.52731 | − | 0.680000i | 0.540416 | − | 0.841398i | \(-0.318267\pi\) |
0.986889 | + | 0.161398i | \(0.0516003\pi\) | |||||||
\(480\) | 3.54249 | − | 10.9027i | 0.161692 | − | 0.497636i | ||||
\(481\) | −2.16483 | − | 9.49434i | −0.0987079 | − | 0.432904i | ||||
\(482\) | −8.65499 | + | 6.28822i | −0.394224 | + | 0.286420i | ||||
\(483\) | −3.99485 | + | 6.91928i | −0.181772 | + | 0.314838i | ||||
\(484\) | −6.11974 | − | 3.68222i | −0.278170 | − | 0.167374i | ||||
\(485\) | 10.9984 | + | 19.0497i | 0.499410 | + | 0.865003i | ||||
\(486\) | −0.940242 | + | 0.683126i | −0.0426502 | + | 0.0309872i | ||||
\(487\) | −5.23948 | + | 5.81903i | −0.237423 | + | 0.263685i | −0.850068 | − | 0.526673i | \(-0.823439\pi\) |
0.612644 | + | 0.790359i | \(0.290106\pi\) | |||||||
\(488\) | 26.7527 | − | 5.68646i | 1.21104 | − | 0.257414i | ||||
\(489\) | −11.1110 | − | 8.07260i | −0.502456 | − | 0.365056i | ||||
\(490\) | −0.576942 | + | 5.48923i | −0.0260636 | + | 0.247978i | ||||
\(491\) | 7.89203 | + | 8.76499i | 0.356162 | + | 0.395558i | 0.894424 | − | 0.447219i | \(-0.147586\pi\) |
−0.538262 | + | 0.842777i | \(0.680919\pi\) | |||||||
\(492\) | 4.26466 | + | 0.906482i | 0.192266 | + | 0.0408673i | ||||
\(493\) | −6.65434 | + | 4.83466i | −0.299697 | + | 0.217742i | ||||
\(494\) | 8.74482 | + | 18.8869i | 0.393448 | + | 0.849762i | ||||
\(495\) | 10.7187 | − | 1.59857i | 0.481771 | − | 0.0718502i | ||||
\(496\) | 3.23600 | − | 5.60492i | 0.145301 | − | 0.251668i | ||||
\(497\) | 2.41174 | + | 22.9461i | 0.108181 | + | 1.02928i | ||||
\(498\) | 10.0894 | − | 11.2054i | 0.452116 | − | 0.502125i | ||||
\(499\) | 7.93847 | − | 24.4321i | 0.355375 | − | 1.09373i | −0.600417 | − | 0.799687i | \(-0.704999\pi\) |
0.955792 | − | 0.294044i | \(-0.0950012\pi\) | |||||||
\(500\) | 0.150123 | − | 1.42832i | 0.00671370 | − | 0.0638766i | ||||
\(501\) | 1.80210 | − | 17.1458i | 0.0805117 | − | 0.766018i | ||||
\(502\) | −6.80554 | + | 20.9453i | −0.303746 | + | 0.934834i | ||||
\(503\) | 27.9562 | − | 31.0485i | 1.24651 | − | 1.38438i | 0.352819 | − | 0.935691i | \(-0.385223\pi\) |
0.893686 | − | 0.448693i | \(-0.148110\pi\) | |||||||
\(504\) | 0.935753 | + | 8.90310i | 0.0416818 | + | 0.396576i | ||||
\(505\) | 17.4889 | − | 30.2917i | 0.778248 | − | 1.34796i | ||||
\(506\) | −7.55727 | + | 7.42196i | −0.335962 | + | 0.329946i | ||||
\(507\) | −4.37993 | − | 12.2399i | −0.194520 | − | 0.543595i | ||||
\(508\) | −5.07155 | + | 3.68470i | −0.225014 | + | 0.163482i | ||||
\(509\) | −3.04891 | − | 0.648066i | −0.135141 | − | 0.0287250i | 0.139845 | − | 0.990173i | \(-0.455340\pi\) |
−0.274985 | + | 0.961448i | \(0.588673\pi\) | |||||||
\(510\) | −3.49897 | − | 3.88600i | −0.154937 | − | 0.172075i | ||||
\(511\) | −2.03857 | + | 19.3957i | −0.0901809 | + | 0.858014i | ||||
\(512\) | 17.8291 | + | 12.9536i | 0.787942 | + | 0.572473i | ||||
\(513\) | 4.85835 | − | 1.03267i | 0.214501 | − | 0.0455936i | ||||
\(514\) | −10.8502 | + | 12.0503i | −0.478581 | + | 0.531518i | ||||
\(515\) | −48.4378 | + | 35.1922i | −2.13443 | + | 1.55075i | ||||
\(516\) | 2.39734 | + | 4.15231i | 0.105537 | + | 0.182795i | ||||
\(517\) | −30.9151 | − | 1.90036i | −1.35965 | − | 0.0835778i | ||||
\(518\) | 4.56317 | − | 7.90365i | 0.200494 | − | 0.347266i | ||||
\(519\) | 10.8881 | − | 7.91070i | 0.477937 | − | 0.347241i | ||||
\(520\) | −26.5968 | + | 24.6673i | −1.16634 | + | 1.08173i | ||||
\(521\) | −11.3053 | + | 34.7942i | −0.495295 | + | 1.52436i | 0.321201 | + | 0.947011i | \(0.395914\pi\) |
−0.816496 | + | 0.577351i | \(0.804086\pi\) | |||||||
\(522\) | −6.34214 | + | 2.82370i | −0.277588 | + | 0.123590i | ||||
\(523\) | −21.7137 | + | 9.66756i | −0.949474 | + | 0.422733i | −0.822241 | − | 0.569140i | \(-0.807276\pi\) |
−0.127233 | + | 0.991873i | \(0.540610\pi\) | |||||||
\(524\) | 9.53399 | − | 2.02651i | 0.416494 | − | 0.0885285i | ||||
\(525\) | 5.10051 | + | 15.6977i | 0.222604 | + | 0.685106i | ||||
\(526\) | 11.3365 | + | 5.04734i | 0.494296 | + | 0.220075i | ||||
\(527\) | 1.95445 | + | 3.38520i | 0.0851371 | + | 0.147462i | ||||
\(528\) | −1.25028 | + | 7.45736i | −0.0544116 | + | 0.324540i | ||||
\(529\) | 7.72430 | + | 13.3789i | 0.335839 | + | 0.581690i | ||||
\(530\) | 3.37982 | + | 32.1568i | 0.146810 | + | 1.39680i | ||||
\(531\) | −9.31547 | − | 1.98007i | −0.404257 | − | 0.0859275i | ||||
\(532\) | 2.89746 | − | 8.91747i | 0.125621 | − | 0.386621i | ||||
\(533\) | −18.2293 | − | 15.9335i | −0.789599 | − | 0.690156i | ||||
\(534\) | 0.826314 | + | 0.600353i | 0.0357581 | + | 0.0259798i | ||||
\(535\) | 24.9917 | + | 27.7561i | 1.08049 | + | 1.20000i | ||||
\(536\) | −29.6684 | − | 6.30622i | −1.28148 | − | 0.272387i | ||||
\(537\) | −10.6269 | − | 4.73138i | −0.458582 | − | 0.204174i | ||||
\(538\) | 25.6092 | 1.10409 | ||||||||
\(539\) | 0.208790 | + | 4.81593i | 0.00899320 | + | 0.207437i | ||||
\(540\) | 1.06079 | + | 1.83734i | 0.0456490 | + | 0.0790664i | ||||
\(541\) | 2.63199 | − | 1.91225i | 0.113158 | − | 0.0822141i | −0.529767 | − | 0.848143i | \(-0.677721\pi\) |
0.642925 | + | 0.765929i | \(0.277721\pi\) | |||||||
\(542\) | −14.8866 | + | 16.5332i | −0.639434 | + | 0.710164i | ||||
\(543\) | 8.61090 | + | 9.56337i | 0.369529 | + | 0.410403i | ||||
\(544\) | −4.41324 | + | 1.96490i | −0.189216 | + | 0.0842444i | ||||
\(545\) | 4.99600 | + | 3.62981i | 0.214005 | + | 0.155484i | ||||
\(546\) | 4.79085 | − | 11.2020i | 0.205029 | − | 0.479400i | ||||
\(547\) | −4.08358 | − | 12.5680i | −0.174601 | − | 0.537367i | 0.825014 | − | 0.565113i | \(-0.191167\pi\) |
−0.999615 | + | 0.0277452i | \(0.991167\pi\) | |||||||
\(548\) | 0.672722 | + | 6.40052i | 0.0287373 | + | 0.273417i | ||||
\(549\) | −4.44143 | + | 7.69278i | −0.189555 | + | 0.328320i | ||||
\(550\) | 0.947793 | + | 21.8618i | 0.0404140 | + | 0.932189i | ||||
\(551\) | 29.6693 | 1.26396 | ||||||||
\(552\) | −7.72956 | − | 3.44142i | −0.328992 | − | 0.146477i | ||||
\(553\) | 6.02787 | − | 6.69463i | 0.256331 | − | 0.284685i | ||||
\(554\) | −3.73424 | + | 11.4928i | −0.158653 | + | 0.488283i | ||||
\(555\) | 0.922480 | − | 8.77681i | 0.0391571 | − | 0.372555i | ||||
\(556\) | −5.66221 | + | 2.52098i | −0.240131 | + | 0.106913i | ||||
\(557\) | 23.6375 | + | 26.2521i | 1.00155 | + | 1.11234i | 0.993667 | + | 0.112368i | \(0.0358436\pi\) |
0.00788628 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(558\) | 1.01952 | + | 3.13775i | 0.0431596 | + | 0.132832i | ||||
\(559\) | −0.392471 | − | 26.6225i | −0.0165998 | − | 1.12601i | ||||
\(560\) | −21.6595 | −0.915281 | ||||||||
\(561\) | −3.52303 | − | 2.90598i | −0.148743 | − | 0.122690i | ||||
\(562\) | −13.2827 | + | 23.0063i | −0.560296 | + | 0.970461i | ||||
\(563\) | 6.22768 | + | 2.77274i | 0.262465 | + | 0.116857i | 0.533751 | − | 0.845642i | \(-0.320782\pi\) |
−0.271285 | + | 0.962499i | \(0.587449\pi\) | |||||||
\(564\) | −1.87375 | − | 5.76680i | −0.0788990 | − | 0.242826i | ||||
\(565\) | −14.7400 | + | 3.13307i | −0.620115 | + | 0.131809i | ||||
\(566\) | −1.28421 | + | 12.2185i | −0.0539794 | + | 0.513580i | ||||
\(567\) | −2.35220 | − | 1.70897i | −0.0987830 | − | 0.0717701i | ||||
\(568\) | −23.8998 | + | 5.08006i | −1.00281 | + | 0.213154i | ||||
\(569\) | 13.3631 | + | 2.84041i | 0.560209 | + | 0.119076i | 0.479309 | − | 0.877646i | \(-0.340887\pi\) |
0.0808997 | + | 0.996722i | \(0.474221\pi\) | |||||||
\(570\) | 1.97162 | + | 18.7587i | 0.0825822 | + | 0.785718i | ||||
\(571\) | −17.6911 | −0.740351 | −0.370176 | − | 0.928962i | \(-0.620702\pi\) | ||||
−0.370176 | + | 0.928962i | \(0.620702\pi\) | |||||||
\(572\) | −4.85172 | + | 6.06179i | −0.202861 | + | 0.253456i | ||||
\(573\) | −11.4473 | −0.478216 | ||||||||
\(574\) | −2.37180 | − | 22.5662i | −0.0989970 | − | 0.941894i | ||||
\(575\) | −15.2592 | − | 3.24345i | −0.636354 | − | 0.135261i | ||||
\(576\) | −8.44840 | + | 1.79576i | −0.352016 | + | 0.0748234i | ||||
\(577\) | 14.0563 | + | 10.2125i | 0.585172 | + | 0.425152i | 0.840585 | − | 0.541680i | \(-0.182211\pi\) |
−0.255413 | + | 0.966832i | \(0.582211\pi\) | |||||||
\(578\) | 1.83488 | − | 17.4577i | 0.0763209 | − | 0.726145i | ||||
\(579\) | −19.4840 | + | 4.14145i | −0.809726 | + | 0.172113i | ||||
\(580\) | 3.91620 | + | 12.0528i | 0.162611 | + | 0.500466i | ||||
\(581\) | 34.4602 | + | 15.3427i | 1.42965 | + | 0.636521i | ||||
\(582\) | 3.91189 | − | 6.77559i | 0.162153 | − | 0.280857i | ||||
\(583\) | 7.06211 | + | 27.3417i | 0.292483 | + | 1.13238i | ||||
\(584\) | −20.6531 | −0.854630 | ||||||||
\(585\) | −0.173663 | − | 11.7801i | −0.00718008 | − | 0.487046i | ||||
\(586\) | 0.740968 | + | 2.28046i | 0.0306091 | + | 0.0942051i | ||||
\(587\) | −14.5802 | − | 16.1930i | −0.601789 | − | 0.668355i | 0.362875 | − | 0.931838i | \(-0.381795\pi\) |
−0.964664 | + | 0.263483i | \(0.915129\pi\) | |||||||
\(588\) | −0.862098 | + | 0.383831i | −0.0355523 | + | 0.0158289i | ||||
\(589\) | 1.47383 | − | 14.0226i | 0.0607283 | − | 0.577791i | ||||
\(590\) | 11.1761 | − | 34.3964i | 0.460111 | − | 1.41608i | ||||
\(591\) | 2.39365 | − | 2.65841i | 0.0984614 | − | 0.109353i | ||||
\(592\) | 5.62519 | + | 2.50450i | 0.231194 | + | 0.102934i | ||||
\(593\) | 34.6513 | 1.42296 | 0.711479 | − | 0.702707i | \(-0.248026\pi\) | ||||
0.711479 | + | 0.702707i | \(0.248026\pi\) | |||||||
\(594\) | −2.39861 | − | 3.01737i | −0.0984164 | − | 0.123804i | ||||
\(595\) | 6.54084 | − | 11.3291i | 0.268148 | − | 0.464447i | ||||
\(596\) | −1.25966 | − | 11.9849i | −0.0515979 | − | 0.490921i | ||||
\(597\) | −7.52884 | − | 23.1714i | −0.308135 | − | 0.948342i | ||||
\(598\) | 6.90499 | + | 9.21513i | 0.282366 | + | 0.376835i | ||||
\(599\) | −23.8777 | − | 17.3481i | −0.975615 | − | 0.708826i | −0.0188909 | − | 0.999822i | \(-0.506014\pi\) |
−0.956724 | + | 0.290996i | \(0.906014\pi\) | |||||||
\(600\) | −15.9682 | + | 7.10949i | −0.651898 | + | 0.290244i | ||||
\(601\) | −4.59924 | − | 5.10797i | −0.187607 | − | 0.208359i | 0.642003 | − | 0.766702i | \(-0.278104\pi\) |
−0.829610 | + | 0.558344i | \(0.811437\pi\) | |||||||
\(602\) | 16.6968 | − | 18.5437i | 0.680511 | − | 0.755784i | ||||
\(603\) | 7.96961 | − | 5.79026i | 0.324548 | − | 0.235798i | ||||
\(604\) | 4.29938 | + | 7.44674i | 0.174939 | + | 0.303003i | ||||
\(605\) | 6.83665 | + | 35.2870i | 0.277949 | + | 1.43462i | ||||
\(606\) | −12.4409 | −0.505377 | ||||||||
\(607\) | −35.0440 | − | 15.6026i | −1.42239 | − | 0.633289i | −0.455910 | − | 0.890026i | \(-0.650686\pi\) |
−0.966481 | + | 0.256737i | \(0.917353\pi\) | |||||||
\(608\) | 17.0448 | + | 3.62298i | 0.691257 | + | 0.146931i | ||||
\(609\) | −11.6212 | − | 12.9066i | −0.470915 | − | 0.523004i | ||||
\(610\) | −27.2908 | − | 19.8279i | −1.10497 | − | 0.802808i | ||||
\(611\) | −6.51450 | + | 33.0356i | −0.263548 | + | 1.33648i | ||||
\(612\) | 0.276275 | − | 0.850286i | 0.0111677 | − | 0.0343708i | ||||
\(613\) | −2.62292 | − | 0.557518i | −0.105939 | − | 0.0225179i | 0.154637 | − | 0.987971i | \(-0.450579\pi\) |
−0.260576 | + | 0.965453i | \(0.583912\pi\) | |||||||
\(614\) | 1.16849 | + | 11.1174i | 0.0471564 | + | 0.448663i | ||||
\(615\) | −10.9708 | − | 19.0020i | −0.442386 | − | 0.766235i | ||||
\(616\) | −29.3661 | + | 4.37959i | −1.18319 | + | 0.176459i | ||||
\(617\) | 5.58005 | + | 9.66493i | 0.224644 | + | 0.389096i | 0.956213 | − | 0.292673i | \(-0.0945446\pi\) |
−0.731568 | + | 0.681768i | \(0.761211\pi\) | |||||||
\(618\) | 19.4543 | + | 8.66162i | 0.782567 | + | 0.348421i | ||||
\(619\) | −10.4256 | − | 32.0866i | −0.419039 | − | 1.28967i | −0.908588 | − | 0.417694i | \(-0.862839\pi\) |
0.489549 | − | 0.871976i | \(-0.337161\pi\) | |||||||
\(620\) | 5.89105 | − | 1.25218i | 0.236590 | − | 0.0502888i | ||||
\(621\) | 2.51041 | − | 1.11771i | 0.100739 | − | 0.0448520i | ||||
\(622\) | 24.2231 | − | 10.7848i | 0.971260 | − | 0.432433i | ||||
\(623\) | −0.789595 | + | 2.43012i | −0.0316345 | + | 0.0973608i | ||||
\(624\) | 7.85443 | + | 2.42465i | 0.314429 | + | 0.0970638i | ||||
\(625\) | 17.1164 | − | 12.4358i | 0.684655 | − | 0.497431i | ||||
\(626\) | −0.718255 | + | 1.24405i | −0.0287072 | + | 0.0497224i | ||||
\(627\) | 4.11969 | + | 15.9498i | 0.164525 | + | 0.636975i | ||||
\(628\) | −4.27171 | − | 7.39881i | −0.170460 | − | 0.295245i | ||||
\(629\) | −3.00871 | + | 2.18596i | −0.119965 | + | 0.0871598i | ||||
\(630\) | 7.38810 | − | 8.20531i | 0.294349 | − | 0.326908i | ||||
\(631\) | −44.7388 | + | 9.50953i | −1.78102 | + | 0.378568i | −0.976528 | − | 0.215390i | \(-0.930898\pi\) |
−0.804496 | + | 0.593958i | \(0.797564\pi\) | |||||||
\(632\) | 7.71800 | + | 5.60746i | 0.307006 | + | 0.223053i | ||||
\(633\) | −1.79798 | + | 17.1067i | −0.0714635 | + | 0.679929i | ||||
\(634\) | −0.788908 | − | 0.876171i | −0.0313315 | − | 0.0347972i | ||||
\(635\) | 30.8586 | + | 6.55920i | 1.22459 | + | 0.260294i | ||||
\(636\) | −4.47246 | + | 3.24943i | −0.177344 | + | 0.128848i | ||||
\(637\) | 5.21919 | + | 0.470887i | 0.206792 | + | 0.0186572i | ||||
\(638\) | −10.2674 | − | 20.6091i | −0.406492 | − | 0.815923i | ||||
\(639\) | 3.96779 | − | 6.87242i | 0.156963 | − | 0.271869i | ||||
\(640\) | −1.03197 | − | 9.81854i | −0.0407922 | − | 0.388112i | ||||
\(641\) | −17.6824 | + | 19.6383i | −0.698414 | + | 0.775667i | −0.983123 | − | 0.182947i | \(-0.941436\pi\) |
0.284709 | + | 0.958614i | \(0.408103\pi\) | |||||||
\(642\) | 4.10512 | − | 12.6343i | 0.162016 | − | 0.498635i | ||||
\(643\) | −4.08359 | + | 38.8527i | −0.161041 | + | 1.53220i | 0.553643 | + | 0.832754i | \(0.313237\pi\) |
−0.714683 | + | 0.699448i | \(0.753429\pi\) | |||||||
\(644\) | 0.542250 | − | 5.15916i | 0.0213676 | − | 0.203300i | ||||
\(645\) | 7.45642 | − | 22.9485i | 0.293596 | − | 0.903596i | ||||
\(646\) | 5.31864 | − | 5.90695i | 0.209259 | − | 0.232406i | ||||
\(647\) | 1.93616 | + | 18.4213i | 0.0761183 | + | 0.724217i | 0.964316 | + | 0.264755i | \(0.0852911\pi\) |
−0.888197 | + | 0.459462i | \(0.848042\pi\) | |||||||
\(648\) | 1.53950 | − | 2.66650i | 0.0604774 | − | 0.104750i | ||||
\(649\) | 5.22277 | − | 31.1514i | 0.205012 | − | 1.22280i | ||||
\(650\) | 23.6923 | + | 2.13758i | 0.929290 | + | 0.0838427i | ||||
\(651\) | −6.67735 | + | 4.85138i | −0.261706 | + | 0.190140i | ||||
\(652\) | 8.72236 | + | 1.85399i | 0.341594 | + | 0.0726080i | ||||
\(653\) | 1.25011 | + | 1.38839i | 0.0489206 | + | 0.0543319i | 0.767108 | − | 0.641517i | \(-0.221695\pi\) |
−0.718188 | + | 0.695849i | \(0.755028\pi\) | |||||||
\(654\) | 0.229593 | − | 2.18443i | 0.00897779 | − | 0.0854179i | ||||
\(655\) | −39.6841 | − | 28.8322i | −1.55059 | − | 1.12657i | ||||
\(656\) | 14.9747 | − | 3.18297i | 0.584664 | − | 0.124274i | ||||
\(657\) | 4.48833 | − | 4.98480i | 0.175107 | − | 0.194476i | ||||
\(658\) | −25.5299 | + | 18.5486i | −0.995261 | + | 0.723099i | ||||
\(659\) | −7.81488 | − | 13.5358i | −0.304425 | − | 0.527279i | 0.672708 | − | 0.739908i | \(-0.265131\pi\) |
−0.977133 | + | 0.212629i | \(0.931798\pi\) | |||||||
\(660\) | −5.93566 | + | 3.77887i | −0.231045 | + | 0.147092i | ||||
\(661\) | −21.9792 | + | 38.0690i | −0.854890 | + | 1.48071i | 0.0218567 | + | 0.999761i | \(0.493042\pi\) |
−0.876747 | + | 0.480952i | \(0.840291\pi\) | |||||||
\(662\) | −12.6615 | + | 9.19912i | −0.492103 | + | 0.357534i | ||||
\(663\) | −3.64014 | + | 3.37608i | −0.141372 | + | 0.131116i | ||||
\(664\) | −12.3442 | + | 37.9917i | −0.479049 | + | 1.47436i | ||||
\(665\) | −43.1076 | + | 19.1927i | −1.67164 | + | 0.744263i | ||||
\(666\) | −2.86755 | + | 1.27672i | −0.111115 | + | 0.0494717i | ||||
\(667\) | 16.0562 | − | 3.41284i | 0.621697 | − | 0.132146i | ||||
\(668\) | 3.45908 | + | 10.6460i | 0.133836 | + | 0.411904i | ||||
\(669\) | −21.0352 | − | 9.36547i | −0.813267 | − | 0.362090i | ||||
\(670\) | 18.7049 | + | 32.3978i | 0.722633 | + | 1.25164i | ||||
\(671\) | −26.1281 | − | 13.6116i | −1.00867 | − | 0.525471i | ||||
\(672\) | −5.10022 | − | 8.83385i | −0.196745 | − | 0.340773i | ||||
\(673\) | 1.79421 | + | 17.0708i | 0.0691617 | + | 0.658030i | 0.973103 | + | 0.230372i | \(0.0739944\pi\) |
−0.903941 | + | 0.427658i | \(0.859339\pi\) | |||||||
\(674\) | 5.29482 | + | 1.12545i | 0.203949 | + | 0.0433507i | ||||
\(675\) | 1.75427 | − | 5.39910i | 0.0675220 | − | 0.207811i | ||||
\(676\) | 5.83038 | + | 6.10345i | 0.224245 | + | 0.234748i | ||||
\(677\) | −34.1701 | − | 24.8260i | −1.31326 | − | 0.954142i | −0.999990 | − | 0.00447918i | \(-0.998574\pi\) |
−0.313274 | − | 0.949663i | \(-0.601426\pi\) | |||||||
\(678\) | 3.58642 | + | 3.98312i | 0.137736 | + | 0.152971i | ||||
\(679\) | 19.1450 | + | 4.06939i | 0.734717 | + | 0.156169i | ||||
\(680\) | 12.6558 | + | 5.63471i | 0.485326 | + | 0.216081i | ||||
\(681\) | 27.0637 | 1.03708 | ||||||||
\(682\) | −10.2505 | + | 3.82893i | −0.392513 | + | 0.146617i | ||||
\(683\) | −20.1471 | − | 34.8958i | −0.770908 | − | 1.33525i | −0.937066 | − | 0.349153i | \(-0.886469\pi\) |
0.166157 | − | 0.986099i | \(-0.446864\pi\) | |||||||
\(684\) | −2.60901 | + | 1.89556i | −0.0997582 | + | 0.0724786i | ||||
\(685\) | 21.6721 | − | 24.0693i | 0.828048 | − | 0.919640i | ||||
\(686\) | −12.5411 | − | 13.9283i | −0.478820 | − | 0.531783i | ||||
\(687\) | −24.7261 | + | 11.0088i | −0.943359 | + | 0.420010i | ||||
\(688\) | 13.6204 | + | 9.89582i | 0.519274 | + | 0.377274i | ||||
\(689\) | 30.4803 | − | 3.65862i | 1.16121 | − | 0.139382i | ||||
\(690\) | 3.22479 | + | 9.92489i | 0.122766 | + | 0.377834i | ||||
\(691\) | −4.90981 | − | 46.7137i | −0.186778 | − | 1.77707i | −0.540128 | − | 0.841583i | \(-0.681624\pi\) |
0.353350 | − | 0.935491i | \(-0.385042\pi\) | |||||||
\(692\) | −4.36919 | + | 7.56767i | −0.166092 | + | 0.287679i | ||||
\(693\) | 5.32480 | − | 8.03954i | 0.202272 | − | 0.305397i | ||||
\(694\) | −5.97731 | −0.226896 | ||||||||
\(695\) | 28.4954 | + | 12.6870i | 1.08089 | + | 0.481244i | ||||
\(696\) | 12.3068 | − | 13.6681i | 0.466488 | − | 0.518087i | ||||
\(697\) | −2.85727 | + | 8.79378i | −0.108227 | + | 0.333088i | ||||
\(698\) | −0.209305 | + | 1.99141i | −0.00792233 | + | 0.0753759i | ||||
\(699\) | 8.57877 | − | 3.81951i | 0.324479 | − | 0.144467i | ||||
\(700\) | −7.17095 | − | 7.96415i | −0.271037 | − | 0.301017i | ||||
\(701\) | −9.57046 | − | 29.4549i | −0.361471 | − | 1.11249i | −0.952161 | − | 0.305596i | \(-0.901144\pi\) |
0.590690 | − | 0.806899i | \(-0.298856\pi\) | |||||||
\(702\) | −3.59770 | + | 2.14846i | −0.135786 | + | 0.0810883i | ||||
\(703\) | 13.4148 | 0.505947 | ||||||||
\(704\) | −7.16392 | − | 27.7359i | −0.270001 | − | 1.04534i | ||||
\(705\) | −15.2576 | + | 26.4270i | −0.574636 | + | 0.995299i | ||||
\(706\) | −5.97212 | − | 2.65896i | −0.224764 | − | 0.100071i | ||||
\(707\) | −9.61764 | − | 29.6001i | −0.361709 | − | 1.11322i | ||||
\(708\) | 6.04839 | − | 1.28563i | 0.227312 | − | 0.0483168i | ||||
\(709\) | −2.95952 | + | 28.1580i | −0.111147 | + | 1.05750i | 0.786744 | + | 0.617279i | \(0.211765\pi\) |
−0.897892 | + | 0.440216i | \(0.854902\pi\) | |||||||
\(710\) | 24.3805 | + | 17.7135i | 0.914983 | + | 0.664774i | ||||
\(711\) | −3.03069 | + | 0.644192i | −0.113660 | + | 0.0241591i | ||||
\(712\) | −2.64680 | − | 0.562594i | −0.0991929 | − | 0.0210841i | ||||
\(713\) | −0.815415 | − | 7.75815i | −0.0305375 | − | 0.290545i | ||||
\(714\) | −4.65288 | −0.174130 | ||||||||
\(715\) | 39.0085 | − | 2.26769i | 1.45883 | − | 0.0848066i | ||||
\(716\) | 7.55282 | 0.282262 | ||||||||
\(717\) | −1.95612 | − | 18.6113i | −0.0730527 | − | 0.695050i | ||||
\(718\) | −4.60380 | − | 0.978569i | −0.171812 | − | 0.0365199i | ||||
\(719\) | −25.6616 | + | 5.45455i | −0.957017 | + | 0.203420i | −0.659843 | − | 0.751403i | \(-0.729377\pi\) |
−0.297174 | + | 0.954823i | \(0.596044\pi\) | |||||||
\(720\) | 6.02684 | + | 4.37875i | 0.224607 | + | 0.163187i | ||||
\(721\) | −5.56871 | + | 52.9827i | −0.207390 | + | 1.97318i | ||||
\(722\) | −6.44562 | + | 1.37006i | −0.239881 | + | 0.0509883i | ||||
\(723\) | 2.84452 | + | 8.75454i | 0.105789 | + | 0.325585i | ||||
\(724\) | −7.63313 | − | 3.39849i | −0.283683 | − | 0.126304i | ||||
\(725\) | 16.9554 | − | 29.3676i | 0.629708 | − | 1.09069i | ||||
\(726\) | 9.65352 | − | 8.38130i | 0.358276 | − | 0.311059i | ||||
\(727\) | 13.0843 | 0.485271 | 0.242636 | − | 0.970117i | \(-0.421988\pi\) | ||||
0.242636 | + | 0.970117i | \(0.421988\pi\) | |||||||
\(728\) | 0.475785 | + | 32.2739i | 0.0176337 | + | 1.19615i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 17.0447 | + | 18.9301i | 0.630854 | + | 0.700635i | ||||
\(731\) | −9.28921 | + | 4.13582i | −0.343574 | + | 0.152969i | ||||
\(732\) | 0.602868 | − | 5.73590i | 0.0222826 | − | 0.212005i | ||||
\(733\) | −9.17416 | + | 28.2352i | −0.338855 | + | 1.04289i | 0.625936 | + | 0.779874i | \(0.284717\pi\) |
−0.964792 | + | 0.263015i | \(0.915283\pi\) | |||||||
\(734\) | 11.8477 | − | 13.1582i | 0.437307 | − | 0.485679i | ||||
\(735\) | 4.33856 | + | 1.93165i | 0.160030 | + | 0.0712500i | ||||
\(736\) | 9.64088 | 0.355368 | ||||||||
\(737\) | 20.3310 | + | 25.5756i | 0.748901 | + | 0.942090i | ||||
\(738\) | −3.90209 | + | 6.75862i | −0.143638 | + | 0.248788i | ||||
\(739\) | 2.79631 | + | 26.6051i | 0.102864 | + | 0.978686i | 0.917236 | + | 0.398343i | \(0.130415\pi\) |
−0.814372 | + | 0.580343i | \(0.802919\pi\) | |||||||
\(740\) | 1.77068 | + | 5.44958i | 0.0650914 | + | 0.200331i | ||||
\(741\) | 17.7807 | − | 2.13426i | 0.653191 | − | 0.0784040i | ||||
\(742\) | 23.2761 | + | 16.9110i | 0.854491 | + | 0.620824i | ||||
\(743\) | 4.32547 | − | 1.92582i | 0.158686 | − | 0.0706515i | −0.325857 | − | 0.945419i | \(-0.605653\pi\) |
0.484543 | + | 0.874768i | \(0.338986\pi\) | |||||||
\(744\) | −5.84859 | − | 6.49552i | −0.214420 | − | 0.238137i | ||||
\(745\) | −40.5807 | + | 45.0695i | −1.48676 | + | 1.65122i | ||||
\(746\) | −27.0892 | + | 19.6814i | −0.991805 | + | 0.720589i | ||||
\(747\) | −6.48696 | − | 11.2357i | −0.237346 | − | 0.411095i | ||||
\(748\) | 2.85712 | + | 0.793293i | 0.104467 | + | 0.0290057i | ||||
\(749\) | 33.2337 | 1.21433 | ||||||||
\(750\) | 2.34849 | + | 1.04562i | 0.0857549 | + | 0.0381805i | ||||
\(751\) | −23.1549 | − | 4.92172i | −0.844934 | − | 0.179596i | −0.234947 | − | 0.972008i | \(-0.575492\pi\) |
−0.609986 | + | 0.792412i | \(0.708825\pi\) | |||||||
\(752\) | −14.2467 | − | 15.8225i | −0.519522 | − | 0.576988i | ||||
\(753\) | 15.3305 | + | 11.1382i | 0.558674 | + | 0.405900i | ||||
\(754\) | −23.6892 | + | 8.08506i | −0.862711 | + | 0.294440i | ||||
\(755\) | 13.3723 | − | 41.1557i | 0.486668 | − | 1.49781i | ||||
\(756\) | 1.84653 | + | 0.392491i | 0.0671575 | + | 0.0142748i | ||||
\(757\) | 1.42044 | + | 13.5146i | 0.0516268 | + | 0.491196i | 0.989533 | + | 0.144307i | \(0.0460954\pi\) |
−0.937906 | + | 0.346889i | \(0.887238\pi\) | |||||||
\(758\) | −8.69195 | − | 15.0549i | −0.315706 | − | 0.546819i | ||||
\(759\) | 4.06416 | + | 8.15770i | 0.147520 | + | 0.296106i | ||||
\(760\) | −24.9855 | − | 43.2762i | −0.906319 | − | 1.56979i | ||||
\(761\) | −32.3261 | − | 14.3925i | −1.17182 | − | 0.521728i | −0.273845 | − | 0.961774i | \(-0.588296\pi\) |
−0.897975 | + | 0.440046i | \(0.854962\pi\) | |||||||
\(762\) | −3.46747 | − | 10.6718i | −0.125613 | − | 0.386598i | ||||
\(763\) | 5.37480 | − | 1.14245i | 0.194581 | − | 0.0413594i | ||||
\(764\) | 6.78995 | − | 3.02308i | 0.245652 | − | 0.109371i | ||||
\(765\) | −4.11034 | + | 1.83004i | −0.148610 | + | 0.0661653i | ||||
\(766\) | −3.00989 | + | 9.26350i | −0.108752 | + | 0.334704i | ||||
\(767\) | −32.8100 | − | 10.1284i | −1.18470 | − | 0.365716i | ||||
\(768\) | 11.1343 | − | 8.08956i | 0.401776 | − | 0.291907i | ||||
\(769\) | −6.51416 | + | 11.2829i | −0.234907 | + | 0.406870i | −0.959246 | − | 0.282574i | \(-0.908812\pi\) |
0.724339 | + | 0.689444i | \(0.242145\pi\) | |||||||
\(770\) | 28.2497 | + | 23.3018i | 1.01805 | + | 0.839740i | ||||
\(771\) | 6.97612 | + | 12.0830i | 0.251239 | + | 0.435158i | ||||
\(772\) | 10.4632 | − | 7.60198i | 0.376580 | − | 0.273601i | ||||
\(773\) | 31.3696 | − | 34.8394i | 1.12829 | − | 1.25309i | 0.164509 | − | 0.986376i | \(-0.447396\pi\) |
0.963776 | − | 0.266712i | \(-0.0859373\pi\) | |||||||
\(774\) | −8.39481 | + | 1.78437i | −0.301745 | + | 0.0641379i | ||||
\(775\) | −13.0377 | − | 9.47248i | −0.468330 | − | 0.340261i | ||||
\(776\) | −2.16660 | + | 20.6139i | −0.0777766 | + | 0.739994i | ||||
\(777\) | −5.25443 | − | 5.83564i | −0.188502 | − | 0.209352i | ||||
\(778\) | −11.6113 | − | 2.46806i | −0.416286 | − | 0.0884843i | ||||
\(779\) | 26.9828 | − | 19.6041i | 0.966759 | − | 0.702391i | ||||
\(780\) | 3.21398 | + | 6.94150i | 0.115079 | + | 0.248545i | ||||
\(781\) | 23.3418 | + | 12.1601i | 0.835237 | + | 0.435122i | ||||
\(782\) | 2.19882 | − | 3.80847i | 0.0786297 | − | 0.136191i | ||||
\(783\) | 0.624393 | + | 5.94070i | 0.0223140 | + | 0.212303i | ||||
\(784\) | −2.21723 | + | 2.46249i | −0.0791868 | + | 0.0879459i | ||||
\(785\) | −13.2863 | + | 40.8909i | −0.474207 | + | 1.45946i | ||||
\(786\) | −1.82369 | + | 17.3513i | −0.0650490 | + | 0.618900i | ||||
\(787\) | −3.00578 | + | 28.5981i | −0.107144 | + | 1.01941i | 0.800403 | + | 0.599462i | \(0.204619\pi\) |
−0.907547 | + | 0.419949i | \(0.862048\pi\) | |||||||
\(788\) | −0.717739 | + | 2.20897i | −0.0255684 | + | 0.0786914i | ||||
\(789\) | 7.14461 | − | 7.93489i | 0.254355 | − | 0.282490i | ||||
\(790\) | −1.22992 | − | 11.7019i | −0.0437586 | − | 0.416335i | ||||
\(791\) | −6.70432 | + | 11.6122i | −0.238378 | + | 0.412883i | ||||
\(792\) | 9.05663 | + | 4.71811i | 0.321813 | + | 0.167651i | ||||
\(793\) | −18.4414 | + | 26.1855i | −0.654872 | + | 0.929876i | ||||
\(794\) | −34.7690 | + | 25.2612i | −1.23391 | + | 0.896485i | ||||
\(795\) | 27.2133 | + | 5.78437i | 0.965157 | + | 0.205150i | ||||
\(796\) | 10.5850 | + | 11.7559i | 0.375176 | + | 0.416675i | ||||
\(797\) | 2.36702 | − | 22.5207i | 0.0838442 | − | 0.797724i | −0.869112 | − | 0.494616i | \(-0.835309\pi\) |
0.952956 | − | 0.303109i | \(-0.0980245\pi\) | |||||||
\(798\) | 13.5781 | + | 9.86509i | 0.480661 | + | 0.349220i | ||||
\(799\) | 12.5783 | − | 2.67360i | 0.444989 | − | 0.0945853i | ||||
\(800\) | 13.3269 | − | 14.8010i | 0.471176 | − | 0.523295i | ||||
\(801\) | 0.710990 | − | 0.516564i | 0.0251216 | − | 0.0182519i | ||||
\(802\) | −8.24269 | − | 14.2768i | −0.291060 | − | 0.504130i | ||||
\(803\) | 17.1620 | + | 14.1561i | 0.605632 | + | 0.499557i | ||||
\(804\) | −3.19804 | + | 5.53918i | −0.112786 | + | 0.195352i | ||||
\(805\) | −21.1208 | + | 15.3452i | −0.744412 | + | 0.540847i | ||||
\(806\) | 2.64447 | + | 11.5979i | 0.0931473 | + | 0.408517i | ||||
\(807\) | 6.80921 | − | 20.9566i | 0.239695 | − | 0.737707i | ||||
\(808\) | 30.1100 | − | 13.4058i | 1.05927 | − | 0.471616i | ||||
\(809\) | 29.9707 | − | 13.3438i | 1.05371 | − | 0.469143i | 0.194576 | − | 0.980888i | \(-0.437667\pi\) |
0.859138 | + | 0.511744i | \(0.171000\pi\) | |||||||
\(810\) | −3.71458 | + | 0.789559i | −0.130517 | + | 0.0277423i | ||||
\(811\) | 2.60492 | + | 8.01711i | 0.0914710 | + | 0.281519i | 0.986318 | − | 0.164854i | \(-0.0527154\pi\) |
−0.894847 | + | 0.446373i | \(0.852715\pi\) | |||||||
\(812\) | 10.3016 | + | 4.58657i | 0.361515 | + | 0.160957i | ||||
\(813\) | 9.57134 | + | 16.5780i | 0.335682 | + | 0.581418i | ||||
\(814\) | −4.64234 | − | 9.31825i | −0.162714 | − | 0.326605i | ||||
\(815\) | −22.4382 | − | 38.8641i | −0.785976 | − | 1.36135i | ||||
\(816\) | −0.328146 | − | 3.12210i | −0.0114874 | − | 0.109295i | ||||
\(817\) | 35.8767 | + | 7.62584i | 1.25517 | + | 0.266794i | ||||
\(818\) | 8.25915 | − | 25.4191i | 0.288774 | − | 0.888756i | ||||
\(819\) | −7.89298 | − | 6.89894i | −0.275803 | − | 0.241068i | ||||
\(820\) | 11.5255 | + | 8.37379i | 0.402489 | + | 0.292426i | ||||
\(821\) | −2.13433 | − | 2.37042i | −0.0744887 | − | 0.0827281i | 0.704748 | − | 0.709457i | \(-0.251060\pi\) |
−0.779237 | + | 0.626729i | \(0.784393\pi\) | |||||||
\(822\) | −11.2682 | − | 2.39512i | −0.393022 | − | 0.0835394i | ||||
\(823\) | 15.9068 | + | 7.08214i | 0.554475 | + | 0.246868i | 0.664792 | − | 0.747028i | \(-0.268520\pi\) |
−0.110317 | + | 0.993896i | \(0.535187\pi\) | |||||||
\(824\) | −56.4175 | −1.96540 | ||||||||
\(825\) | 18.1420 | + | 5.03720i | 0.631623 | + | 0.175373i | ||||
\(826\) | −16.0905 | − | 27.8695i | −0.559859 | − | 0.969704i | ||||
\(827\) | −5.87011 | + | 4.26488i | −0.204124 | + | 0.148305i | −0.685151 | − | 0.728401i | \(-0.740264\pi\) |
0.481027 | + | 0.876706i | \(0.340264\pi\) | |||||||
\(828\) | −1.19388 | + | 1.32594i | −0.0414901 | + | 0.0460794i | ||||
\(829\) | −14.6025 | − | 16.2178i | −0.507167 | − | 0.563266i | 0.434128 | − | 0.900851i | \(-0.357057\pi\) |
−0.941295 | + | 0.337585i | \(0.890390\pi\) | |||||||
\(830\) | 45.0098 | − | 20.0397i | 1.56231 | − | 0.695587i | ||||
\(831\) | 8.41194 | + | 6.11163i | 0.291807 | + | 0.212010i | ||||
\(832\) | −30.9197 | + | 3.71136i | −1.07195 | + | 0.128668i | ||||
\(833\) | −0.618441 | − | 1.90337i | −0.0214277 | − | 0.0659477i | ||||
\(834\) | −1.15968 | − | 11.0336i | −0.0401563 | − | 0.382062i | ||||
\(835\) | 28.1668 | − | 48.7863i | 0.974751 | − | 1.68832i | ||||
\(836\) | −6.65576 | − | 8.37270i | −0.230194 | − | 0.289576i | ||||
\(837\) | 2.83877 | 0.0981222 | ||||||||
\(838\) | −23.8117 | − | 10.6017i | −0.822563 | − | 0.366229i | ||||
\(839\) | 10.3833 | − | 11.5318i | 0.358470 | − | 0.398122i | −0.536753 | − | 0.843740i | \(-0.680349\pi\) |
0.895223 | + | 0.445618i | \(0.147016\pi\) | |||||||
\(840\) | −9.03926 | + | 27.8200i | −0.311884 | + | 0.959880i | ||||
\(841\) | −0.698441 | + | 6.64523i | −0.0240842 | + | 0.229146i | ||||
\(842\) | −0.602572 | + | 0.268282i | −0.0207660 | + | 0.00924562i | ||||
\(843\) | 15.2948 | + | 16.9866i | 0.526782 | + | 0.585050i | ||||
\(844\) | −3.45119 | − | 10.6217i | −0.118795 | − | 0.365613i | ||||
\(845\) | 3.19295 | − | 42.3581i | 0.109841 | − | 1.45716i | ||||
\(846\) | 10.8537 | 0.373156 | ||||||||
\(847\) | 27.4040 | + | 16.4889i | 0.941614 | + | 0.566564i | ||||
\(848\) | −9.70582 | + | 16.8110i | −0.333299 | + | 0.577291i | ||||
\(849\) | 9.65717 | + | 4.29965i | 0.331433 | + | 0.147564i | ||||
\(850\) | −2.80739 | − | 8.64027i | −0.0962928 | − | 0.296359i | ||||
\(851\) | 7.25967 | − | 1.54309i | 0.248858 | − | 0.0528965i | ||||
\(852\) | −0.538578 | + | 5.12423i | −0.0184514 | + | 0.175553i | ||||
\(853\) | −33.9942 | − | 24.6983i | −1.16394 | − | 0.845652i | −0.173670 | − | 0.984804i | \(-0.555562\pi\) |
−0.990271 | + | 0.139152i | \(0.955562\pi\) | |||||||
\(854\) | −29.3599 | + | 6.24065i | −1.00468 | + | 0.213551i | ||||
\(855\) | 15.8749 | + | 3.37432i | 0.542911 | + | 0.115399i | ||||
\(856\) | 3.67881 | + | 35.0015i | 0.125739 | + | 1.19633i | ||||
\(857\) | −11.2849 | −0.385486 | −0.192743 | − | 0.981249i | \(-0.561738\pi\) | ||||
−0.192743 | + | 0.981249i | \(0.561738\pi\) | |||||||
\(858\) | −7.63576 | − | 11.6124i | −0.260681 | − | 0.396440i | ||||
\(859\) | 47.7048 | 1.62767 | 0.813834 | − | 0.581097i | \(-0.197376\pi\) | ||||
0.813834 | + | 0.581097i | \(0.197376\pi\) | |||||||
\(860\) | 1.63764 | + | 15.5811i | 0.0558429 | + | 0.531310i | ||||
\(861\) | −19.0970 | − | 4.05920i | −0.650825 | − | 0.138337i | ||||
\(862\) | −19.0026 | + | 4.03913i | −0.647232 | + | 0.137573i | ||||
\(863\) | 27.5029 | + | 19.9820i | 0.936208 | + | 0.680195i | 0.947505 | − | 0.319741i | \(-0.103596\pi\) |
−0.0112968 | + | 0.999936i | \(0.503596\pi\) | |||||||
\(864\) | −0.366722 | + | 3.48913i | −0.0124762 | + | 0.118703i | ||||
\(865\) | 43.0154 | − | 9.14321i | 1.46257 | − | 0.310879i | ||||
\(866\) | 0.900443 | + | 2.77128i | 0.0305983 | + | 0.0941719i | ||||
\(867\) | −13.7982 | − | 6.14333i | −0.468610 | − | 0.208639i | ||||
\(868\) | 2.67948 | − | 4.64100i | 0.0909476 | − | 0.157526i | ||||
\(869\) | −2.56991 | − | 9.94968i | −0.0871782 | − | 0.337520i | ||||
\(870\) | −22.6845 | −0.769076 | ||||||||
\(871\) | 30.4946 | − | 18.2106i | 1.03327 | − | 0.617043i | ||||
\(872\) | 1.79819 | + | 5.53425i | 0.0608942 | + | 0.187413i | ||||
\(873\) | −4.50449 | − | 5.00274i | −0.152454 | − | 0.169317i | ||||
\(874\) | −14.4914 | + | 6.45198i | −0.490179 | + | 0.218242i | ||||
\(875\) | −0.672246 | + | 6.39599i | −0.0227261 | + | 0.216224i | ||||
\(876\) | −1.34583 | + | 4.14205i | −0.0454715 | + | 0.139947i | ||||
\(877\) | 10.4638 | − | 11.6212i | 0.353336 | − | 0.392419i | −0.540107 | − | 0.841596i | \(-0.681616\pi\) |
0.893443 | + | 0.449177i | \(0.148283\pi\) | |||||||
\(878\) | 36.1707 | + | 16.1042i | 1.22070 | + | 0.543492i | ||||
\(879\) | 2.06317 | 0.0695890 | ||||||||
\(880\) | −13.6433 | + | 20.5990i | −0.459915 | + | 0.694393i | ||||
\(881\) | 22.8598 | − | 39.5943i | 0.770166 | − | 1.33397i | −0.167306 | − | 0.985905i | \(-0.553507\pi\) |
0.937472 | − | 0.348061i | \(-0.113160\pi\) | |||||||
\(882\) | −0.176566 | − | 1.67992i | −0.00594530 | − | 0.0565658i | ||||
\(883\) | −5.94264 | − | 18.2896i | −0.199986 | − | 0.615493i | −0.999882 | − | 0.0153546i | \(-0.995112\pi\) |
0.799896 | − | 0.600138i | \(-0.204888\pi\) | |||||||
\(884\) | 1.26757 | − | 2.96384i | 0.0426331 | − | 0.0996847i | ||||
\(885\) | −25.1757 | − | 18.2912i | −0.846272 | − | 0.614853i | ||||
\(886\) | 24.9289 | − | 11.0991i | 0.837504 | − | 0.372881i | ||||
\(887\) | −15.3914 | − | 17.0939i | −0.516794 | − | 0.573958i | 0.427101 | − | 0.904204i | \(-0.359535\pi\) |
−0.943895 | + | 0.330246i | \(0.892868\pi\) | |||||||
\(888\) | 5.56442 | − | 6.17992i | 0.186730 | − | 0.207384i | ||||
\(889\) | 22.7103 | − | 16.5000i | 0.761678 | − | 0.553391i | ||||
\(890\) | 1.66871 | + | 2.89029i | 0.0559353 | + | 0.0968828i | ||||
\(891\) | −3.10695 | + | 1.16055i | −0.104087 | + | 0.0388800i | ||||
\(892\) | 14.9503 | 0.500574 | ||||||||
\(893\) | −42.3748 | − | 18.8665i | −1.41802 | − | 0.631343i | ||||
\(894\) | 21.0995 | + | 4.48483i | 0.705672 | + | 0.149995i | ||||
\(895\) | −25.4337 | − | 28.2469i | −0.850154 | − | 0.944191i | ||||
\(896\) | −7.10695 | − | 5.16350i | −0.237426 | − | 0.172500i | ||||
\(897\) | 9.37690 | − | 3.20031i | 0.313086 | − | 0.106855i | ||||
\(898\) | −12.1208 | + | 37.3039i | −0.404476 | + | 1.24485i | ||||
\(899\) | 16.5866 | + | 3.52560i | 0.553195 | + | 0.117585i | ||||
\(900\) | 0.385287 | + | 3.66576i | 0.0128429 | + | 0.122192i | ||||
\(901\) | −5.86203 | − | 10.1533i | −0.195292 | − | 0.338256i | ||||
\(902\) | −22.9553 | − | 11.9587i | −0.764328 | − | 0.398182i | ||||
\(903\) | −10.7352 | − | 18.5939i | −0.357246 | − | 0.618768i | ||||
\(904\) | −12.9721 | − | 5.77553i | −0.431444 | − | 0.192091i | ||||
\(905\) | 12.9940 | + | 39.9915i | 0.431936 | + | 1.32936i | ||||
\(906\) | −15.0552 | + | 3.20008i | −0.500176 | + | 0.106316i | ||||
\(907\) | −1.32089 | + | 0.588098i | −0.0438594 | + | 0.0195275i | −0.428549 | − | 0.903518i | \(-0.640975\pi\) |
0.384690 | + | 0.923046i | \(0.374308\pi\) | |||||||
\(908\) | −16.0529 | + | 7.14719i | −0.532733 | + | 0.237188i | ||||
\(909\) | −3.30790 | + | 10.1807i | −0.109716 | + | 0.337671i | ||||
\(910\) | 29.1888 | − | 27.0714i | 0.967600 | − | 0.897407i | ||||
\(911\) | 22.1042 | − | 16.0596i | 0.732344 | − | 0.532079i | −0.157960 | − | 0.987446i | \(-0.550492\pi\) |
0.890304 | + | 0.455366i | \(0.150492\pi\) | |||||||
\(912\) | −5.66190 | + | 9.80670i | −0.187484 | + | 0.324732i | ||||
\(913\) | 36.2979 | − | 23.1087i | 1.20129 | − | 0.764786i | ||||
\(914\) | −6.39913 | − | 11.0836i | −0.211664 | − | 0.366613i | ||||
\(915\) | −23.4819 | + | 17.0606i | −0.776289 | + | 0.564007i | ||||
\(916\) | 11.7590 | − | 13.0597i | 0.388529 | − | 0.431505i | ||||
\(917\) | −42.6929 | + | 9.07466i | −1.40984 | + | 0.299672i | ||||
\(918\) | 1.29468 | + | 0.940643i | 0.0427309 | + | 0.0310458i | ||||
\(919\) | −4.36321 | + | 41.5132i | −0.143929 | + | 1.36939i | 0.649329 | + | 0.760508i | \(0.275050\pi\) |
−0.793258 | + | 0.608886i | \(0.791617\pi\) | |||||||
\(920\) | −18.4995 | − | 20.5457i | −0.609909 | − | 0.677372i | ||||
\(921\) | 9.40834 | + | 1.99980i | 0.310015 | + | 0.0658958i | ||||
\(922\) | 36.6646 | − | 26.6384i | 1.20749 | − | 0.877290i | ||||
\(923\) | 16.4748 | − | 23.3931i | 0.542274 | − | 0.769994i | ||||
\(924\) | −1.03526 | + | 6.17487i | −0.0340577 | + | 0.203138i | ||||
\(925\) | 7.66626 | − | 13.2783i | 0.252065 | − | 0.436589i | ||||
\(926\) | 0.748290 | + | 7.11951i | 0.0245903 | + | 0.233961i | ||||
\(927\) | 12.2607 | − | 13.6169i | 0.402694 | − | 0.447237i | ||||
\(928\) | −6.47603 | + | 19.9312i | −0.212586 | + | 0.654273i | ||||
\(929\) | −4.00759 | + | 38.1297i | −0.131485 | + | 1.25099i | 0.707451 | + | 0.706763i | \(0.249845\pi\) |
−0.838935 | + | 0.544231i | \(0.816821\pi\) | |||||||
\(930\) | −1.12686 | + | 10.7214i | −0.0369512 | + | 0.351567i | ||||
\(931\) | −2.23079 | + | 6.86566i | −0.0731111 | + | 0.225013i | ||||
\(932\) | −4.07982 | + | 4.53109i | −0.133639 | + | 0.148421i | ||||
\(933\) | −2.38481 | − | 22.6899i | −0.0780750 | − | 0.742834i | ||||
\(934\) | −2.68881 | + | 4.65716i | −0.0879806 | + | 0.152387i | ||||
\(935\) | −6.65433 | − | 13.3568i | −0.217620 | − | 0.436813i | ||||
\(936\) | 6.39221 | − | 9.07652i | 0.208936 | − | 0.296675i | ||||
\(937\) | −23.1025 | + | 16.7849i | −0.754725 | + | 0.548340i | −0.897288 | − | 0.441446i | \(-0.854466\pi\) |
0.142563 | + | 0.989786i | \(0.454466\pi\) | |||||||
\(938\) | 32.5598 | + | 6.92081i | 1.06312 | + | 0.225972i | ||||
\(939\) | 0.827061 | + | 0.918544i | 0.0269901 | + | 0.0299756i | ||||
\(940\) | 2.07103 | − | 19.7046i | 0.0675496 | − | 0.642692i | ||||
\(941\) | 43.4101 | + | 31.5393i | 1.41513 | + | 1.02815i | 0.992552 | + | 0.121825i | \(0.0388746\pi\) |
0.422578 | + | 0.906327i | \(0.361125\pi\) | |||||||
\(942\) | 14.9583 | − | 3.17949i | 0.487369 | − | 0.103593i | ||||
\(943\) | 12.3472 | − | 13.7130i | 0.402082 | − | 0.446557i | ||||
\(944\) | 17.5657 | − | 12.7623i | 0.571716 | − | 0.415376i | ||||
\(945\) | −4.75018 | − | 8.22755i | −0.154523 | − | 0.267642i | ||||
\(946\) | −7.11848 | − | 27.5600i | −0.231442 | − | 0.896052i | ||||
\(947\) | −12.3151 | + | 21.3304i | −0.400187 | + | 0.693144i | −0.993748 | − | 0.111645i | \(-0.964388\pi\) |
0.593561 | + | 0.804789i | \(0.297721\pi\) | |||||||
\(948\) | 1.62753 | − | 1.18247i | 0.0528597 | − | 0.0384049i | ||||
\(949\) | 17.7325 | − | 16.4461i | 0.575620 | − | 0.533863i | ||||
\(950\) | −10.1266 | + | 31.1664i | −0.328550 | + | 1.01117i | ||||
\(951\) | −0.926752 | + | 0.412617i | −0.0300520 | + | 0.0133800i | ||||
\(952\) | 11.2611 | − | 5.01377i | 0.364975 | − | 0.162497i | ||||
\(953\) | −6.66992 | + | 1.41773i | −0.216060 | + | 0.0459249i | −0.314670 | − | 0.949201i | \(-0.601894\pi\) |
0.0986099 | + | 0.995126i | \(0.468560\pi\) | |||||||
\(954\) | −3.05786 | − | 9.41113i | −0.0990020 | − | 0.304697i | ||||
\(955\) | −34.1708 | − | 15.2138i | −1.10574 | − | 0.492308i | ||||
\(956\) | 6.07528 | + | 10.5227i | 0.196489 | + | 0.340328i | ||||
\(957\) | −19.5949 | + | 2.92234i | −0.633413 | + | 0.0944658i | ||||
\(958\) | −21.2626 | − | 36.8278i | −0.686962 | − | 1.18985i | ||||
\(959\) | −3.01243 | − | 28.6614i | −0.0972765 | − | 0.925524i | ||||
\(960\) | −27.6056 | − | 5.86776i | −0.890968 | − | 0.189381i | ||||
\(961\) | −7.08928 | + | 21.8186i | −0.228686 | + | 0.703824i | ||||
\(962\) | −10.7109 | + | 3.65560i | −0.345333 | + | 0.117861i | ||||
\(963\) | −9.24740 | − | 6.71863i | −0.297993 | − | 0.216505i | ||||
\(964\) | −3.99920 | − | 4.44156i | −0.128805 | − | 0.143053i | ||||
\(965\) | −63.6650 | − | 13.5324i | −2.04945 | − | 0.435624i | ||||
\(966\) | 8.48286 | + | 3.77681i | 0.272932 | + | 0.121517i | ||||
\(967\) | −36.6517 | −1.17864 | −0.589319 | − | 0.807900i | \(-0.700604\pi\) | ||||
−0.589319 | + | 0.807900i | \(0.700604\pi\) | |||||||
\(968\) | −14.3325 | + | 30.6870i | −0.460664 | + | 0.986318i | ||||
\(969\) | −3.41962 | − | 5.92296i | −0.109854 | − | 0.190273i | ||||
\(970\) | 20.6822 | − | 15.0265i | 0.664067 | − | 0.482473i | ||||
\(971\) | −27.1288 | + | 30.1296i | −0.870604 | + | 0.966904i | −0.999694 | − | 0.0247292i | \(-0.992128\pi\) |
0.129090 | + | 0.991633i | \(0.458794\pi\) | |||||||
\(972\) | −0.434456 | − | 0.482512i | −0.0139352 | − | 0.0154766i | ||||
\(973\) | 25.3552 | − | 11.2889i | 0.812850 | − | 0.361904i | ||||
\(974\) | 7.36235 | + | 5.34906i | 0.235905 | + | 0.171395i | ||||
\(975\) | 8.04876 | − | 18.8196i | 0.257767 | − | 0.602710i | ||||
\(976\) | −6.25811 | − | 19.2605i | −0.200317 | − | 0.616513i | ||||
\(977\) | 1.61106 | + | 15.3282i | 0.0515423 | + | 0.490392i | 0.989593 | + | 0.143894i | \(0.0459625\pi\) |
−0.938051 | + | 0.346498i | \(0.887371\pi\) | |||||||
\(978\) | −7.98080 | + | 13.8232i | −0.255198 | + | 0.442016i | ||||
\(979\) | 1.81378 | + | 2.28167i | 0.0579686 | + | 0.0729224i | ||||
\(980\) | −3.08354 | −0.0985002 | ||||||||
\(981\) | −1.72652 | − | 0.768696i | −0.0551236 | − | 0.0245426i | ||||
\(982\) | 9.17214 | − | 10.1867i | 0.292695 | − | 0.325070i | ||||
\(983\) | 6.51972 | − | 20.0656i | 0.207947 | − | 0.639994i | −0.791633 | − | 0.610997i | \(-0.790769\pi\) |
0.999580 | − | 0.0289969i | \(-0.00923130\pi\) | |||||||
\(984\) | 2.16118 | − | 20.5622i | 0.0688958 | − | 0.655500i | ||||
\(985\) | 10.6783 | − | 4.75429i | 0.340239 | − | 0.151484i | ||||
\(986\) | 6.39647 | + | 7.10400i | 0.203705 | + | 0.226237i | ||||
\(987\) | 8.39059 | + | 25.8236i | 0.267075 | + | 0.821974i | ||||
\(988\) | −9.98302 | + | 5.96161i | −0.317602 | + | 0.189664i | ||||
\(989\) | 20.2926 | 0.645268 | ||||||||
\(990\) | −3.14983 | − | 12.1949i | −0.100108 | − | 0.387579i | ||||
\(991\) | −19.6200 | + | 33.9829i | −0.623251 | + | 1.07950i | 0.365626 | + | 0.930762i | \(0.380855\pi\) |
−0.988876 | + | 0.148740i | \(0.952478\pi\) | |||||||
\(992\) | 9.09836 | + | 4.05085i | 0.288873 | + | 0.128615i | ||||
\(993\) | 4.16129 | + | 12.8071i | 0.132055 | + | 0.406422i | ||||
\(994\) | 26.2290 | − | 5.57515i | 0.831933 | − | 0.176833i | ||||
\(995\) | 8.32155 | − | 79.1742i | 0.263811 | − | 2.50999i | ||||
\(996\) | 6.81497 | + | 4.95137i | 0.215941 | + | 0.156890i | ||||
\(997\) | 11.4825 | − | 2.44069i | 0.363656 | − | 0.0772975i | −0.0224599 | − | 0.999748i | \(-0.507150\pi\) |
0.386116 | + | 0.922450i | \(0.373816\pi\) | |||||||
\(998\) | −29.2039 | − | 6.20748i | −0.924433 | − | 0.196494i | ||||
\(999\) | 0.282315 | + | 2.68604i | 0.00893204 | + | 0.0849827i |
(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 | 429.2.bg.b.256.5 | ✓ | 112 | |
11.4 | even | 5 | inner | 429.2.bg.b.334.10 | yes | 112 | |
13.3 | even | 3 | inner | 429.2.bg.b.289.10 | yes | 112 | |
143.81 | even | 15 | inner | 429.2.bg.b.367.5 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bg.b.256.5 | ✓ | 112 | 1.1 | even | 1 | trivial | |
429.2.bg.b.289.10 | yes | 112 | 13.3 | even | 3 | inner | |
429.2.bg.b.334.10 | yes | 112 | 11.4 | even | 5 | inner | |
429.2.bg.b.367.5 | yes | 112 | 143.81 | even | 15 | inner |