Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 211.13 | ||
Character | \(\chi\) | \(=\) | 225.211 |
Dual form | 225.2.q.a.16.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.217479 | − | 0.0968278i | −0.153781 | − | 0.0684676i | 0.328403 | − | 0.944538i | \(-0.393490\pi\) |
−0.482184 | + | 0.876070i | \(0.660156\pi\) | |||||||
\(3\) | −1.50542 | − | 0.856567i | −0.869155 | − | 0.494539i | ||||
\(4\) | −1.30034 | − | 1.44417i | −0.650170 | − | 0.722087i | ||||
\(5\) | 1.93124 | + | 1.12708i | 0.863676 | + | 0.504047i | ||||
\(6\) | 0.244458 | + | 0.332052i | 0.0997994 | + | 0.135560i | ||||
\(7\) | −1.58050 | − | 2.73751i | −0.597374 | − | 1.03468i | −0.993207 | − | 0.116359i | \(-0.962878\pi\) |
0.395833 | − | 0.918322i | \(-0.370456\pi\) | |||||||
\(8\) | 0.290090 | + | 0.892804i | 0.102562 | + | 0.315654i | ||||
\(9\) | 1.53259 | + | 2.57899i | 0.510862 | + | 0.859663i | ||||
\(10\) | −0.310871 | − | 0.432114i | −0.0983059 | − | 0.136647i | ||||
\(11\) | −3.55139 | − | 1.58118i | −1.07078 | − | 0.476744i | −0.205826 | − | 0.978589i | \(-0.565988\pi\) |
−0.864958 | + | 0.501845i | \(0.832655\pi\) | |||||||
\(12\) | 0.720527 | + | 3.28792i | 0.207998 | + | 0.949140i | ||||
\(13\) | −5.89635 | + | 2.62522i | −1.63535 | + | 0.728106i | −0.999060 | − | 0.0433424i | \(-0.986199\pi\) |
−0.636292 | + | 0.771448i | \(0.719533\pi\) | |||||||
\(14\) | 0.0786587 | + | 0.748387i | 0.0210224 | + | 0.200015i | ||||
\(15\) | −1.94191 | − | 3.35097i | −0.501398 | − | 0.865217i | ||||
\(16\) | −0.382906 | + | 3.64311i | −0.0957265 | + | 0.910777i | ||||
\(17\) | −2.22145 | − | 6.83693i | −0.538782 | − | 1.65820i | −0.735333 | − | 0.677706i | \(-0.762974\pi\) |
0.196551 | − | 0.980494i | \(-0.437026\pi\) | |||||||
\(18\) | −0.0835871 | − | 0.709272i | −0.0197017 | − | 0.167177i | ||||
\(19\) | −0.490230 | − | 1.50877i | −0.112467 | − | 0.346137i | 0.878944 | − | 0.476926i | \(-0.158249\pi\) |
−0.991410 | + | 0.130789i | \(0.958249\pi\) | |||||||
\(20\) | −0.883563 | − | 4.25464i | −0.197571 | − | 0.951365i | ||||
\(21\) | 0.0344602 | + | 5.47491i | 0.00751984 | + | 1.19472i | ||||
\(22\) | 0.619250 | + | 0.687747i | 0.132025 | + | 0.146628i | ||||
\(23\) | 0.172818 | + | 1.64425i | 0.0360350 | + | 0.342850i | 0.997654 | + | 0.0684609i | \(0.0218088\pi\) |
−0.961619 | + | 0.274389i | \(0.911524\pi\) | |||||||
\(24\) | 0.328039 | − | 1.59253i | 0.0669608 | − | 0.325073i | ||||
\(25\) | 2.45937 | + | 4.35333i | 0.491873 | + | 0.870667i | ||||
\(26\) | 1.53653 | 0.301337 | ||||||||
\(27\) | −0.0981099 | − | 5.19523i | −0.0188813 | − | 0.999822i | ||||
\(28\) | −1.89825 | + | 5.84221i | −0.358736 | + | 1.10407i | ||||
\(29\) | 2.56366 | − | 0.544923i | 0.476060 | − | 0.101190i | 0.0363682 | − | 0.999338i | \(-0.488421\pi\) |
0.439692 | + | 0.898149i | \(0.355088\pi\) | |||||||
\(30\) | 0.0978562 | + | 0.916796i | 0.0178660 | + | 0.167383i | ||||
\(31\) | 1.69775 | + | 0.360869i | 0.304926 | + | 0.0648139i | 0.357833 | − | 0.933785i | \(-0.383516\pi\) |
−0.0529078 | + | 0.998599i | \(0.516849\pi\) | |||||||
\(32\) | 1.37478 | − | 2.38118i | 0.243029 | − | 0.420938i | ||||
\(33\) | 3.99195 | + | 5.42235i | 0.694909 | + | 0.943909i | ||||
\(34\) | −0.178886 | + | 1.70199i | −0.0306787 | + | 0.291888i | ||||
\(35\) | 0.0330743 | − | 7.06814i | 0.00559057 | − | 1.19473i | ||||
\(36\) | 1.73163 | − | 5.56688i | 0.288604 | − | 0.927813i | ||||
\(37\) | −0.974207 | − | 0.707803i | −0.160159 | − | 0.116362i | 0.504819 | − | 0.863225i | \(-0.331559\pi\) |
−0.664978 | + | 0.746863i | \(0.731559\pi\) | |||||||
\(38\) | −0.0394766 | + | 0.375594i | −0.00640394 | + | 0.0609295i | ||||
\(39\) | 11.1252 | + | 1.09855i | 1.78145 | + | 0.175909i | ||||
\(40\) | −0.446032 | + | 2.05117i | −0.0705238 | + | 0.324319i | ||||
\(41\) | 5.00852 | − | 2.22994i | 0.782199 | − | 0.348258i | 0.0235212 | − | 0.999723i | \(-0.492512\pi\) |
0.758678 | + | 0.651466i | \(0.225846\pi\) | |||||||
\(42\) | 0.522629 | − | 1.19401i | 0.0806435 | − | 0.184240i | ||||
\(43\) | −5.96998 | − | 10.3403i | −0.910413 | − | 1.57688i | −0.813482 | − | 0.581591i | \(-0.802431\pi\) |
−0.0969314 | − | 0.995291i | \(-0.530903\pi\) | |||||||
\(44\) | 2.33451 | + | 7.18490i | 0.351941 | + | 1.08316i | ||||
\(45\) | 0.0530542 | + | 6.70799i | 0.00790886 | + | 0.999969i | ||||
\(46\) | 0.121625 | − | 0.374323i | 0.0179326 | − | 0.0551909i | ||||
\(47\) | 6.01847 | − | 1.27926i | 0.877883 | − | 0.186600i | 0.253140 | − | 0.967430i | \(-0.418537\pi\) |
0.624744 | + | 0.780830i | \(0.285203\pi\) | |||||||
\(48\) | 3.69700 | − | 5.15643i | 0.533616 | − | 0.744266i | ||||
\(49\) | −1.49598 | + | 2.59111i | −0.213711 | + | 0.370158i | ||||
\(50\) | −0.113337 | − | 1.18489i | −0.0160282 | − | 0.167569i | ||||
\(51\) | −2.51207 | + | 12.1953i | −0.351760 | + | 1.70768i | ||||
\(52\) | 11.4585 | + | 5.10167i | 1.58901 | + | 0.707474i | ||||
\(53\) | 0.201993 | − | 0.621671i | 0.0277459 | − | 0.0853931i | −0.936225 | − | 0.351402i | \(-0.885705\pi\) |
0.963971 | + | 0.266009i | \(0.0857050\pi\) | |||||||
\(54\) | −0.481706 | + | 1.13935i | −0.0655518 | + | 0.155046i | ||||
\(55\) | −5.07646 | − | 7.05635i | −0.684510 | − | 0.951478i | ||||
\(56\) | 1.98557 | − | 2.20520i | 0.265333 | − | 0.294682i | ||||
\(57\) | −0.554363 | + | 2.69126i | −0.0734272 | + | 0.356466i | ||||
\(58\) | −0.610306 | − | 0.129724i | −0.0801370 | − | 0.0170337i | ||||
\(59\) | 0.228332 | − | 0.101660i | 0.0297263 | − | 0.0132350i | −0.391820 | − | 0.920042i | \(-0.628154\pi\) |
0.421546 | + | 0.906807i | \(0.361488\pi\) | |||||||
\(60\) | −2.31425 | + | 7.16185i | −0.298768 | + | 0.924591i | ||||
\(61\) | −0.279455 | − | 0.124421i | −0.0357805 | − | 0.0159305i | 0.388768 | − | 0.921336i | \(-0.372901\pi\) |
−0.424549 | + | 0.905405i | \(0.639567\pi\) | |||||||
\(62\) | −0.334283 | − | 0.242871i | −0.0424540 | − | 0.0308447i | ||||
\(63\) | 4.63775 | − | 8.27157i | 0.584302 | − | 1.04212i | ||||
\(64\) | 5.39759 | − | 3.92158i | 0.674699 | − | 0.490198i | ||||
\(65\) | −14.3461 | − | 1.57574i | −1.77941 | − | 0.195447i | ||||
\(66\) | −0.343131 | − | 1.56578i | −0.0422365 | − | 0.192734i | ||||
\(67\) | −3.64909 | − | 0.775638i | −0.445807 | − | 0.0947592i | −0.0204623 | − | 0.999791i | \(-0.506514\pi\) |
−0.425345 | + | 0.905031i | \(0.639847\pi\) | |||||||
\(68\) | −6.98507 | + | 12.0985i | −0.847065 | + | 1.46716i | ||||
\(69\) | 1.14825 | − | 2.62332i | 0.138233 | − | 0.315810i | ||||
\(70\) | −0.691586 | + | 1.53397i | −0.0826603 | + | 0.183344i | ||||
\(71\) | 0.0407718 | − | 0.125483i | 0.00483872 | − | 0.0148920i | −0.948608 | − | 0.316454i | \(-0.897508\pi\) |
0.953447 | + | 0.301562i | \(0.0975079\pi\) | |||||||
\(72\) | −1.85794 | + | 2.11644i | −0.218961 | + | 0.249424i | ||||
\(73\) | −1.55794 | + | 1.13191i | −0.182343 | + | 0.132480i | −0.675212 | − | 0.737623i | \(-0.735948\pi\) |
0.492869 | + | 0.870103i | \(0.335948\pi\) | |||||||
\(74\) | 0.143334 | + | 0.248263i | 0.0166623 | + | 0.0288599i | ||||
\(75\) | 0.0265392 | − | 8.66021i | 0.00306449 | − | 0.999995i | ||||
\(76\) | −1.54147 | + | 2.66990i | −0.176818 | + | 0.306258i | ||||
\(77\) | 1.28448 | + | 12.2210i | 0.146380 | + | 1.39272i | ||||
\(78\) | −2.31312 | − | 1.31614i | −0.261909 | − | 0.149023i | ||||
\(79\) | −2.79800 | + | 0.594732i | −0.314799 | + | 0.0669126i | −0.362602 | − | 0.931944i | \(-0.618111\pi\) |
0.0478026 | + | 0.998857i | \(0.484778\pi\) | |||||||
\(80\) | −4.84557 | + | 6.60415i | −0.541751 | + | 0.738366i | ||||
\(81\) | −4.30236 | + | 7.90504i | −0.478040 | + | 0.878338i | ||||
\(82\) | −1.30517 | −0.144132 | ||||||||
\(83\) | 0.0920635 | − | 0.102247i | 0.0101053 | − | 0.0112231i | −0.738071 | − | 0.674723i | \(-0.764263\pi\) |
0.748176 | + | 0.663500i | \(0.230930\pi\) | |||||||
\(84\) | 7.86191 | − | 7.16901i | 0.857805 | − | 0.782203i | ||||
\(85\) | 3.41563 | − | 15.7075i | 0.370478 | − | 1.70372i | ||||
\(86\) | 0.297115 | + | 2.82686i | 0.0320387 | + | 0.304828i | ||||
\(87\) | −4.32615 | − | 1.37561i | −0.463812 | − | 0.147481i | ||||
\(88\) | 0.381463 | − | 3.62938i | 0.0406641 | − | 0.386893i | ||||
\(89\) | 11.1238 | − | 8.08188i | 1.17912 | − | 0.856678i | 0.187044 | − | 0.982352i | \(-0.440109\pi\) |
0.992072 | + | 0.125674i | \(0.0401093\pi\) | |||||||
\(90\) | 0.637982 | − | 1.46398i | 0.0672492 | − | 0.154317i | ||||
\(91\) | 16.5058 | + | 11.9921i | 1.73027 | + | 1.25712i | ||||
\(92\) | 2.14986 | − | 2.38766i | 0.224138 | − | 0.248931i | ||||
\(93\) | −2.24673 | − | 1.99750i | −0.232975 | − | 0.207131i | ||||
\(94\) | −1.43276 | − | 0.304542i | −0.147778 | − | 0.0314111i | ||||
\(95\) | 0.753762 | − | 3.46633i | 0.0773343 | − | 0.355638i | ||||
\(96\) | −4.10926 | + | 2.40710i | −0.419400 | + | 0.245673i | ||||
\(97\) | −7.27218 | + | 1.54575i | −0.738378 | + | 0.156947i | −0.561722 | − | 0.827326i | \(-0.689861\pi\) |
−0.176655 | + | 0.984273i | \(0.556528\pi\) | |||||||
\(98\) | 0.576234 | − | 0.418659i | 0.0582084 | − | 0.0422909i | ||||
\(99\) | −1.36496 | − | 11.5823i | −0.137184 | − | 1.16406i | ||||
\(100\) | 3.08896 | − | 9.21257i | 0.308896 | − | 0.921257i | ||||
\(101\) | −4.13170 | − | 7.15632i | −0.411120 | − | 0.712080i | 0.583893 | − | 0.811831i | \(-0.301529\pi\) |
−0.995012 | + | 0.0997505i | \(0.968196\pi\) | |||||||
\(102\) | 1.72716 | − | 2.40898i | 0.171015 | − | 0.238524i | ||||
\(103\) | 7.34507 | + | 8.15753i | 0.723732 | + | 0.803785i | 0.986963 | − | 0.160947i | \(-0.0514550\pi\) |
−0.263231 | + | 0.964733i | \(0.584788\pi\) | |||||||
\(104\) | −4.05428 | − | 4.50273i | −0.397555 | − | 0.441529i | ||||
\(105\) | −6.10413 | + | 10.6122i | −0.595702 | + | 1.03564i | ||||
\(106\) | −0.104124 | + | 0.115642i | −0.0101135 | + | 0.0112321i | ||||
\(107\) | 13.7957 | 1.33368 | 0.666842 | − | 0.745199i | \(-0.267646\pi\) | ||||
0.666842 | + | 0.745199i | \(0.267646\pi\) | |||||||
\(108\) | −7.37523 | + | 6.89725i | −0.709682 | + | 0.663688i | ||||
\(109\) | −11.6911 | − | 8.49409i | −1.11981 | − | 0.813586i | −0.135626 | − | 0.990760i | \(-0.543304\pi\) |
−0.984180 | + | 0.177174i | \(0.943304\pi\) | |||||||
\(110\) | 0.420772 | + | 2.02615i | 0.0401190 | + | 0.193186i | ||||
\(111\) | 0.860312 | + | 1.90002i | 0.0816572 | + | 0.180342i | ||||
\(112\) | 10.5782 | − | 4.70973i | 0.999549 | − | 0.445028i | ||||
\(113\) | 3.56300 | − | 1.58635i | 0.335179 | − | 0.149231i | −0.232245 | − | 0.972657i | \(-0.574607\pi\) |
0.567423 | + | 0.823426i | \(0.307940\pi\) | |||||||
\(114\) | 0.381151 | − | 0.531613i | 0.0356980 | − | 0.0497902i | ||||
\(115\) | −1.51945 | + | 3.37022i | −0.141690 | + | 0.314274i | ||||
\(116\) | −4.12059 | − | 2.99379i | −0.382587 | − | 0.277966i | ||||
\(117\) | −15.8071 | − | 11.1832i | −1.46136 | − | 1.03389i | ||||
\(118\) | −0.0595009 | −0.00547750 | ||||||||
\(119\) | −15.2052 | + | 16.8870i | −1.39386 | + | 1.54803i | ||||
\(120\) | 2.42843 | − | 2.70582i | 0.221685 | − | 0.247007i | ||||
\(121\) | 2.75180 | + | 3.05618i | 0.250164 | + | 0.277835i | ||||
\(122\) | 0.0487280 | + | 0.0541180i | 0.00441163 | + | 0.00489961i | ||||
\(123\) | −9.45002 | − | 0.933139i | −0.852080 | − | 0.0841383i | ||||
\(124\) | −1.68650 | − | 2.92110i | −0.151452 | − | 0.262323i | ||||
\(125\) | −0.156944 | + | 11.1792i | −0.0140375 | + | 0.999901i | ||||
\(126\) | −1.80953 | + | 1.34983i | −0.161206 | + | 0.120252i | ||||
\(127\) | −13.6713 | + | 9.93278i | −1.21313 | + | 0.881391i | −0.995511 | − | 0.0946423i | \(-0.969829\pi\) |
−0.217620 | + | 0.976034i | \(0.569829\pi\) | |||||||
\(128\) | −6.93252 | + | 1.47355i | −0.612754 | + | 0.130245i | ||||
\(129\) | 0.130165 | + | 20.6802i | 0.0114604 | + | 1.82079i | ||||
\(130\) | 2.96740 | + | 1.73179i | 0.260258 | + | 0.151888i | ||||
\(131\) | −15.9546 | − | 3.39126i | −1.39396 | − | 0.296296i | −0.551106 | − | 0.834435i | \(-0.685794\pi\) |
−0.842856 | + | 0.538140i | \(0.819127\pi\) | |||||||
\(132\) | 2.63992 | − | 12.8160i | 0.229775 | − | 1.11549i | ||||
\(133\) | −3.35547 | + | 3.72663i | −0.290957 | + | 0.323140i | ||||
\(134\) | 0.718496 | + | 0.522018i | 0.0620686 | + | 0.0450955i | ||||
\(135\) | 5.66598 | − | 10.1438i | 0.487650 | − | 0.873039i | ||||
\(136\) | 5.45962 | − | 3.96665i | 0.468159 | − | 0.340137i | ||||
\(137\) | 0.594954 | − | 5.66061i | 0.0508303 | − | 0.483618i | −0.939262 | − | 0.343201i | \(-0.888489\pi\) |
0.990092 | − | 0.140418i | \(-0.0448445\pi\) | |||||||
\(138\) | −0.503729 | + | 0.459334i | −0.0428803 | + | 0.0391011i | ||||
\(139\) | 0.755820 | + | 7.19114i | 0.0641078 | + | 0.609945i | 0.978661 | + | 0.205480i | \(0.0658755\pi\) |
−0.914554 | + | 0.404465i | \(0.867458\pi\) | |||||||
\(140\) | −10.2506 | + | 9.14322i | −0.866337 | + | 0.772743i | ||||
\(141\) | −10.1561 | − | 3.22939i | −0.855298 | − | 0.271964i | ||||
\(142\) | −0.0210172 | + | 0.0233420i | −0.00176372 | + | 0.00195881i | ||||
\(143\) | 25.0912 | 2.09823 | ||||||||
\(144\) | −9.98237 | + | 4.59586i | −0.831864 | + | 0.382989i | ||||
\(145\) | 5.56521 | + | 1.83708i | 0.462166 | + | 0.152561i | ||||
\(146\) | 0.448419 | − | 0.0953144i | 0.0371114 | − | 0.00788828i | ||||
\(147\) | 4.47153 | − | 2.61930i | 0.368805 | − | 0.216036i | ||||
\(148\) | 0.244610 | + | 2.32731i | 0.0201068 | + | 0.191304i | ||||
\(149\) | −7.43364 | + | 12.8754i | −0.608988 | + | 1.05480i | 0.382420 | + | 0.923989i | \(0.375091\pi\) |
−0.991408 | + | 0.130809i | \(0.958243\pi\) | |||||||
\(150\) | −0.844321 | + | 1.88084i | −0.0689385 | + | 0.153570i | ||||
\(151\) | −6.50424 | − | 11.2657i | −0.529308 | − | 0.916788i | −0.999416 | − | 0.0341791i | \(-0.989118\pi\) |
0.470108 | − | 0.882609i | \(-0.344215\pi\) | |||||||
\(152\) | 1.20483 | − | 0.875359i | 0.0977245 | − | 0.0710010i | ||||
\(153\) | 14.2278 | − | 16.2073i | 1.15025 | − | 1.31028i | ||||
\(154\) | 0.903988 | − | 2.78219i | 0.0728454 | − | 0.224195i | ||||
\(155\) | 2.87204 | + | 2.61043i | 0.230688 | + | 0.209675i | ||||
\(156\) | −12.8800 | − | 17.4952i | −1.03123 | − | 1.40073i | ||||
\(157\) | 9.19914 | − | 15.9334i | 0.734172 | − | 1.27162i | −0.220914 | − | 0.975293i | \(-0.570904\pi\) |
0.955086 | − | 0.296329i | \(-0.0957626\pi\) | |||||||
\(158\) | 0.666091 | + | 0.141582i | 0.0529914 | + | 0.0112637i | ||||
\(159\) | −0.836588 | + | 0.762857i | −0.0663458 | + | 0.0604985i | ||||
\(160\) | 5.33882 | − | 3.04915i | 0.422071 | − | 0.241056i | ||||
\(161\) | 4.22801 | − | 3.07183i | 0.333214 | − | 0.242094i | ||||
\(162\) | 1.70110 | − | 1.30259i | 0.133651 | − | 0.102341i | ||||
\(163\) | 5.72788 | + | 4.16155i | 0.448642 | + | 0.325958i | 0.789059 | − | 0.614317i | \(-0.210568\pi\) |
−0.340417 | + | 0.940274i | \(0.610568\pi\) | |||||||
\(164\) | −9.73319 | − | 4.33350i | −0.760035 | − | 0.338389i | ||||
\(165\) | 1.59797 | + | 14.9711i | 0.124402 | + | 1.16550i | ||||
\(166\) | −0.0299222 | + | 0.0133222i | −0.00232241 | + | 0.00103401i | ||||
\(167\) | 3.52725 | + | 0.749739i | 0.272947 | + | 0.0580166i | 0.342351 | − | 0.939572i | \(-0.388777\pi\) |
−0.0694048 | + | 0.997589i | \(0.522110\pi\) | |||||||
\(168\) | −4.87803 | + | 1.61898i | −0.376348 | + | 0.124907i | ||||
\(169\) | 19.1764 | − | 21.2976i | 1.47511 | − | 1.63827i | ||||
\(170\) | −2.26375 | + | 3.08532i | −0.173622 | + | 0.236634i | ||||
\(171\) | 3.13979 | − | 3.57662i | 0.240106 | − | 0.273511i | ||||
\(172\) | −7.17020 | + | 22.0676i | −0.546722 | + | 1.68264i | ||||
\(173\) | 17.3194 | + | 7.71110i | 1.31677 | + | 0.586264i | 0.940358 | − | 0.340188i | \(-0.110491\pi\) |
0.376413 | + | 0.926452i | \(0.377157\pi\) | |||||||
\(174\) | 0.807649 | + | 0.718058i | 0.0612277 | + | 0.0544358i | ||||
\(175\) | 8.03026 | − | 13.6130i | 0.607031 | − | 1.02905i | ||||
\(176\) | 7.12026 | − | 12.3327i | 0.536710 | − | 0.929609i | ||||
\(177\) | −0.430814 | − | 0.0425406i | −0.0323820 | − | 0.00319755i | ||||
\(178\) | −3.20173 | + | 0.680549i | −0.239980 | + | 0.0510093i | ||||
\(179\) | −1.72359 | + | 5.30468i | −0.128827 | + | 0.396490i | −0.994579 | − | 0.103984i | \(-0.966841\pi\) |
0.865752 | + | 0.500474i | \(0.166841\pi\) | |||||||
\(180\) | 9.61852 | − | 8.79929i | 0.716922 | − | 0.655860i | ||||
\(181\) | 5.22413 | + | 16.0782i | 0.388307 | + | 1.19509i | 0.934053 | + | 0.357135i | \(0.116246\pi\) |
−0.545746 | + | 0.837951i | \(0.683754\pi\) | |||||||
\(182\) | −2.42848 | − | 4.20625i | −0.180011 | − | 0.311788i | ||||
\(183\) | 0.314122 | + | 0.426678i | 0.0232206 | + | 0.0315410i | ||||
\(184\) | −1.41786 | + | 0.631272i | −0.104526 | + | 0.0465380i | ||||
\(185\) | −1.08367 | − | 2.46495i | −0.0796733 | − | 0.181227i | ||||
\(186\) | 0.295202 | + | 0.651959i | 0.0216452 | + | 0.0478040i | ||||
\(187\) | −2.92118 | + | 27.7931i | −0.213618 | + | 2.03244i | ||||
\(188\) | −9.67353 | − | 7.02823i | −0.705515 | − | 0.512586i | ||||
\(189\) | −14.0669 | + | 8.47964i | −1.02322 | + | 0.616803i | ||||
\(190\) | −0.499565 | + | 0.680869i | −0.0362422 | + | 0.0493954i | ||||
\(191\) | 0.392239 | − | 3.73191i | 0.0283814 | − | 0.270031i | −0.971124 | − | 0.238576i | \(-0.923319\pi\) |
0.999505 | − | 0.0314549i | \(-0.0100140\pi\) | |||||||
\(192\) | −11.4847 | + | 1.28023i | −0.828840 | + | 0.0923926i | ||||
\(193\) | −8.37215 | + | 14.5010i | −0.602640 | + | 1.04380i | 0.389779 | + | 0.920908i | \(0.372551\pi\) |
−0.992420 | + | 0.122896i | \(0.960782\pi\) | |||||||
\(194\) | 1.73122 | + | 0.367981i | 0.124294 | + | 0.0264195i | ||||
\(195\) | 20.2472 | + | 14.6606i | 1.44993 | + | 1.04986i | ||||
\(196\) | 5.68728 | − | 1.20887i | 0.406234 | − | 0.0863478i | ||||
\(197\) | −3.50778 | + | 10.7958i | −0.249919 | + | 0.769171i | 0.744870 | + | 0.667210i | \(0.232512\pi\) |
−0.994788 | + | 0.101961i | \(0.967488\pi\) | |||||||
\(198\) | −0.824637 | + | 2.65107i | −0.0586044 | + | 0.188403i | ||||
\(199\) | 5.25300 | 0.372375 | 0.186188 | − | 0.982514i | \(-0.440387\pi\) | ||||
0.186188 | + | 0.982514i | \(0.440387\pi\) | |||||||
\(200\) | −3.17324 | + | 3.45859i | −0.224382 | + | 0.244559i | ||||
\(201\) | 4.82903 | + | 4.29335i | 0.340613 | + | 0.302830i | ||||
\(202\) | 0.205627 | + | 1.95641i | 0.0144679 | + | 0.137653i | ||||
\(203\) | −5.54360 | − | 6.15679i | −0.389085 | − | 0.432122i | ||||
\(204\) | 20.8787 | − | 12.2302i | 1.46180 | − | 0.856282i | ||||
\(205\) | 12.1860 | + | 1.33848i | 0.851105 | + | 0.0934833i | ||||
\(206\) | −0.807522 | − | 2.48530i | −0.0562627 | − | 0.173159i | ||||
\(207\) | −3.97564 | + | 2.96565i | −0.276326 | + | 0.206127i | ||||
\(208\) | −7.30622 | − | 22.4862i | −0.506596 | − | 1.55914i | ||||
\(209\) | −0.644645 | + | 6.13339i | −0.0445910 | + | 0.424255i | ||||
\(210\) | 2.35508 | − | 1.71688i | 0.162516 | − | 0.118476i | ||||
\(211\) | −1.59702 | − | 15.1947i | −0.109944 | − | 1.04604i | −0.900857 | − | 0.434116i | \(-0.857061\pi\) |
0.790913 | − | 0.611928i | \(-0.209606\pi\) | |||||||
\(212\) | −1.16046 | + | 0.516671i | −0.0797008 | + | 0.0354851i | ||||
\(213\) | −0.168863 | + | 0.153980i | −0.0115703 | + | 0.0105506i | ||||
\(214\) | −3.00028 | − | 1.33581i | −0.205095 | − | 0.0913141i | ||||
\(215\) | 0.124930 | − | 26.6983i | 0.00852018 | − | 1.82081i | ||||
\(216\) | 4.60986 | − | 1.59467i | 0.313661 | − | 0.108504i | ||||
\(217\) | −1.69542 | − | 5.21797i | −0.115093 | − | 0.354219i | ||||
\(218\) | 1.72010 | + | 2.97931i | 0.116500 | + | 0.201784i | ||||
\(219\) | 3.31491 | − | 0.369520i | 0.224001 | − | 0.0249699i | ||||
\(220\) | −3.58947 | + | 16.5069i | −0.242002 | + | 1.11290i | ||||
\(221\) | 31.0469 | + | 34.4811i | 2.08844 | + | 2.31945i | ||||
\(222\) | −0.00312517 | − | 0.496515i | −0.000209748 | − | 0.0333239i | ||||
\(223\) | −2.18024 | − | 0.970703i | −0.145999 | − | 0.0650031i | 0.332436 | − | 0.943126i | \(-0.392129\pi\) |
−0.478436 | + | 0.878123i | \(0.658796\pi\) | |||||||
\(224\) | −8.69136 | −0.580716 | ||||||||
\(225\) | −7.45801 | + | 13.0145i | −0.497200 | + | 0.867636i | ||||
\(226\) | −0.928479 | −0.0617615 | ||||||||
\(227\) | 3.82540 | + | 1.70318i | 0.253901 | + | 0.113044i | 0.529741 | − | 0.848160i | \(-0.322289\pi\) |
−0.275840 | + | 0.961204i | \(0.588956\pi\) | |||||||
\(228\) | 4.60750 | − | 2.69895i | 0.305139 | − | 0.178742i | ||||
\(229\) | −10.9507 | − | 12.1620i | −0.723646 | − | 0.803690i | 0.263305 | − | 0.964713i | \(-0.415187\pi\) |
−0.986951 | + | 0.161023i | \(0.948521\pi\) | |||||||
\(230\) | 0.656780 | − | 0.585826i | 0.0433068 | − | 0.0386282i | ||||
\(231\) | 8.53444 | − | 19.4980i | 0.561525 | − | 1.28288i | ||||
\(232\) | 1.23020 | + | 2.13077i | 0.0807666 | + | 0.139892i | ||||
\(233\) | 0.488148 | + | 1.50237i | 0.0319797 | + | 0.0984233i | 0.965772 | − | 0.259391i | \(-0.0835220\pi\) |
−0.933793 | + | 0.357815i | \(0.883522\pi\) | |||||||
\(234\) | 2.35486 | + | 3.96268i | 0.153942 | + | 0.259049i | ||||
\(235\) | 13.0649 | + | 4.31275i | 0.852262 | + | 0.281333i | ||||
\(236\) | −0.443724 | − | 0.197559i | −0.0288840 | − | 0.0128600i | ||||
\(237\) | 4.72159 | + | 1.50135i | 0.306700 | + | 0.0975231i | ||||
\(238\) | 4.94194 | − | 2.20029i | 0.320338 | − | 0.142624i | ||||
\(239\) | 0.353687 | + | 3.36511i | 0.0228781 | + | 0.217671i | 0.999988 | + | 0.00493466i | \(0.00157076\pi\) |
−0.977110 | + | 0.212736i | \(0.931763\pi\) | |||||||
\(240\) | 12.9515 | − | 5.79146i | 0.836017 | − | 0.373837i | ||||
\(241\) | 1.90906 | − | 18.1635i | 0.122974 | − | 1.17002i | −0.742777 | − | 0.669539i | \(-0.766492\pi\) |
0.865750 | − | 0.500476i | \(-0.166842\pi\) | |||||||
\(242\) | −0.302535 | − | 0.931106i | −0.0194477 | − | 0.0598538i | ||||
\(243\) | 13.2481 | − | 8.21515i | 0.849864 | − | 0.527002i | ||||
\(244\) | 0.183700 | + | 0.565371i | 0.0117602 | + | 0.0361942i | ||||
\(245\) | −5.80948 | + | 3.31795i | −0.371154 | + | 0.211976i | ||||
\(246\) | 1.96483 | + | 1.11796i | 0.125273 | + | 0.0712787i | ||||
\(247\) | 6.85144 | + | 7.60929i | 0.435947 | + | 0.484168i | ||||
\(248\) | 0.170316 | + | 1.62044i | 0.0108151 | + | 0.102898i | ||||
\(249\) | −0.226176 | + | 0.0750660i | −0.0143333 | + | 0.00475712i | ||||
\(250\) | 1.11659 | − | 2.41605i | 0.0706195 | − | 0.152804i | ||||
\(251\) | −25.5610 | −1.61339 | −0.806697 | − | 0.590965i | \(-0.798747\pi\) | ||||
−0.806697 | + | 0.590965i | \(0.798747\pi\) | |||||||
\(252\) | −17.9762 | + | 4.05813i | −1.13240 | + | 0.255638i | ||||
\(253\) | 1.98611 | − | 6.11263i | 0.124866 | − | 0.384297i | ||||
\(254\) | 3.93499 | − | 0.836407i | 0.246903 | − | 0.0524808i | ||||
\(255\) | −18.5965 | + | 20.7207i | −1.16456 | + | 1.29758i | ||||
\(256\) | −11.4016 | − | 2.42349i | −0.712602 | − | 0.151468i | ||||
\(257\) | 6.52191 | − | 11.2963i | 0.406825 | − | 0.704642i | −0.587707 | − | 0.809074i | \(-0.699969\pi\) |
0.994532 | + | 0.104432i | \(0.0333024\pi\) | |||||||
\(258\) | 1.97411 | − | 4.51011i | 0.122903 | − | 0.280787i | ||||
\(259\) | −0.397881 | + | 3.78559i | −0.0247231 | + | 0.235225i | ||||
\(260\) | 16.3792 | + | 22.7673i | 1.01579 | + | 1.41197i | ||||
\(261\) | 5.33438 | + | 5.77651i | 0.330190 | + | 0.357557i | ||||
\(262\) | 3.14142 | + | 2.28238i | 0.194078 | + | 0.141006i | ||||
\(263\) | −2.58003 | + | 24.5473i | −0.159091 | + | 1.51365i | 0.565657 | + | 0.824641i | \(0.308623\pi\) |
−0.724749 | + | 0.689013i | \(0.758044\pi\) | |||||||
\(264\) | −3.68307 | + | 5.13699i | −0.226677 | + | 0.316160i | ||||
\(265\) | 1.09077 | − | 0.972933i | 0.0670056 | − | 0.0597668i | ||||
\(266\) | 1.09059 | − | 0.485560i | 0.0668681 | − | 0.0297716i | ||||
\(267\) | −23.6686 | + | 2.63839i | −1.44850 | + | 0.161467i | ||||
\(268\) | 3.62490 | + | 6.27851i | 0.221426 | + | 0.383521i | ||||
\(269\) | −0.768419 | − | 2.36495i | −0.0468513 | − | 0.144193i | 0.924894 | − | 0.380225i | \(-0.124153\pi\) |
−0.971746 | + | 0.236031i | \(0.924153\pi\) | |||||||
\(270\) | −2.21443 | + | 1.65744i | −0.134766 | + | 0.100868i | ||||
\(271\) | 6.79309 | − | 20.9070i | 0.412651 | − | 1.27001i | −0.501685 | − | 0.865050i | \(-0.667286\pi\) |
0.914336 | − | 0.404958i | \(-0.132714\pi\) | |||||||
\(272\) | 25.7583 | − | 5.47510i | 1.56183 | − | 0.331976i | ||||
\(273\) | −14.5761 | − | 32.1915i | −0.882183 | − | 1.94832i | ||||
\(274\) | −0.677494 | + | 1.17345i | −0.0409289 | + | 0.0708910i | ||||
\(275\) | −1.85076 | − | 19.3491i | −0.111605 | − | 1.16679i | ||||
\(276\) | −5.28164 | + | 1.75294i | −0.317917 | + | 0.105514i | ||||
\(277\) | −7.12911 | − | 3.17409i | −0.428347 | − | 0.190712i | 0.181228 | − | 0.983441i | \(-0.441993\pi\) |
−0.609574 | + | 0.792729i | \(0.708660\pi\) | |||||||
\(278\) | 0.531928 | − | 1.63711i | 0.0319029 | − | 0.0981871i | ||||
\(279\) | 1.67128 | + | 4.93155i | 0.100057 | + | 0.295244i | ||||
\(280\) | 6.32006 | − | 2.02087i | 0.377696 | − | 0.120770i | ||||
\(281\) | 8.97416 | − | 9.96681i | 0.535354 | − | 0.594570i | −0.413415 | − | 0.910543i | \(-0.635664\pi\) |
0.948768 | + | 0.315972i | \(0.102331\pi\) | |||||||
\(282\) | 1.89604 | + | 1.68572i | 0.112908 | + | 0.100383i | ||||
\(283\) | −0.532717 | − | 0.113232i | −0.0316667 | − | 0.00673097i | 0.192051 | − | 0.981385i | \(-0.438486\pi\) |
−0.223718 | + | 0.974654i | \(0.571819\pi\) | |||||||
\(284\) | −0.234236 | + | 0.104288i | −0.0138993 | + | 0.00618838i | ||||
\(285\) | −4.10388 | + | 4.57264i | −0.243093 | + | 0.270860i | ||||
\(286\) | −5.45680 | − | 2.42952i | −0.322667 | − | 0.143661i | ||||
\(287\) | −14.0204 | − | 10.1865i | −0.827601 | − | 0.601287i | ||||
\(288\) | 8.24801 | − | 0.103834i | 0.486019 | − | 0.00611845i | ||||
\(289\) | −28.0555 | + | 20.3835i | −1.65032 | + | 1.19903i | ||||
\(290\) | −1.03244 | − | 0.938394i | −0.0606267 | − | 0.0551044i | ||||
\(291\) | 12.2717 | + | 3.90210i | 0.719381 | + | 0.228745i | ||||
\(292\) | 3.66052 | + | 0.778068i | 0.214216 | + | 0.0455330i | ||||
\(293\) | 10.5504 | − | 18.2739i | 0.616363 | − | 1.06757i | −0.373781 | − | 0.927517i | \(-0.621939\pi\) |
0.990144 | − | 0.140055i | \(-0.0447278\pi\) | |||||||
\(294\) | −1.22608 | + | 0.136674i | −0.0715067 | + | 0.00797101i | ||||
\(295\) | 0.555543 | + | 0.0610195i | 0.0323450 | + | 0.00355269i | ||||
\(296\) | 0.349322 | − | 1.07510i | 0.0203039 | − | 0.0624890i | ||||
\(297\) | −7.86616 | + | 18.6054i | −0.456441 | + | 1.07959i | ||||
\(298\) | 2.86336 | − | 2.08035i | 0.165870 | − | 0.120512i | ||||
\(299\) | −5.33551 | − | 9.24138i | −0.308561 | − | 0.534443i | ||||
\(300\) | −12.5414 | + | 11.2229i | −0.724076 | + | 0.647954i | ||||
\(301\) | −18.8711 | + | 32.6858i | −1.08771 | + | 1.88398i | ||||
\(302\) | 0.323704 | + | 3.07984i | 0.0186271 | + | 0.177225i | ||||
\(303\) | 0.0900849 | + | 14.3124i | 0.00517524 | + | 0.822223i | ||||
\(304\) | 5.68434 | − | 1.20824i | 0.326019 | − | 0.0692975i | ||||
\(305\) | −0.399461 | − | 0.555256i | −0.0228731 | − | 0.0317939i | ||||
\(306\) | −4.66356 | + | 2.14710i | −0.266598 | + | 0.122741i | ||||
\(307\) | 0.469136 | 0.0267750 | 0.0133875 | − | 0.999910i | \(-0.495738\pi\) | ||||
0.0133875 | + | 0.999910i | \(0.495738\pi\) | |||||||
\(308\) | 15.9790 | − | 17.7465i | 0.910489 | − | 1.01120i | ||||
\(309\) | −4.06996 | − | 18.5721i | −0.231532 | − | 1.05653i | ||||
\(310\) | −0.371845 | − | 0.845807i | −0.0211194 | − | 0.0480386i | ||||
\(311\) | −2.63914 | − | 25.1098i | −0.149652 | − | 1.42384i | −0.769262 | − | 0.638934i | \(-0.779376\pi\) |
0.619610 | − | 0.784910i | \(-0.287291\pi\) | |||||||
\(312\) | 2.24650 | + | 10.2513i | 0.127183 | + | 0.580364i | ||||
\(313\) | −0.357603 | + | 3.40236i | −0.0202129 | + | 0.192313i | −0.999969 | − | 0.00788231i | \(-0.997491\pi\) |
0.979756 | + | 0.200195i | \(0.0641576\pi\) | |||||||
\(314\) | −3.54341 | + | 2.57444i | −0.199966 | + | 0.145284i | ||||
\(315\) | 18.2794 | − | 10.7472i | 1.02992 | − | 0.605538i | ||||
\(316\) | 4.49724 | + | 3.26744i | 0.252990 | + | 0.183808i | ||||
\(317\) | −18.2621 | + | 20.2821i | −1.02570 | + | 1.13916i | −0.0355182 | + | 0.999369i | \(0.511308\pi\) |
−0.990182 | + | 0.139786i | \(0.955358\pi\) | |||||||
\(318\) | 0.255806 | − | 0.0849001i | 0.0143449 | − | 0.00476096i | ||||
\(319\) | −9.96618 | − | 2.11838i | −0.557999 | − | 0.118606i | ||||
\(320\) | 14.8440 | − | 1.48997i | 0.829804 | − | 0.0832920i | ||||
\(321\) | −20.7684 | − | 11.8170i | −1.15918 | − | 0.659559i | ||||
\(322\) | −1.21694 | + | 0.258669i | −0.0678175 | + | 0.0144151i | ||||
\(323\) | −9.22636 | + | 6.70335i | −0.513369 | + | 0.372984i | ||||
\(324\) | 17.0108 | − | 4.06588i | 0.945044 | − | 0.225882i | ||||
\(325\) | −25.9298 | − | 19.2124i | −1.43832 | − | 1.06571i | ||||
\(326\) | −0.842739 | − | 1.45967i | −0.0466750 | − | 0.0808435i | ||||
\(327\) | 10.3243 | + | 22.8014i | 0.570934 | + | 1.26092i | ||||
\(328\) | 3.44381 | + | 3.82474i | 0.190153 | + | 0.211186i | ||||
\(329\) | −13.0142 | − | 14.4537i | −0.717496 | − | 0.796860i | ||||
\(330\) | 1.10209 | − | 3.41063i | 0.0606683 | − | 0.187749i | ||||
\(331\) | −8.77034 | + | 9.74045i | −0.482061 | + | 0.535383i | −0.934288 | − | 0.356520i | \(-0.883963\pi\) |
0.452226 | + | 0.891903i | \(0.350630\pi\) | |||||||
\(332\) | −0.267376 | −0.0146742 | ||||||||
\(333\) | 0.332360 | − | 3.59724i | 0.0182132 | − | 0.197127i | ||||
\(334\) | −0.694506 | − | 0.504588i | −0.0380017 | − | 0.0276098i | ||||
\(335\) | −6.17305 | − | 5.61077i | −0.337270 | − | 0.306549i | ||||
\(336\) | −19.9589 | − | 1.97084i | −1.08885 | − | 0.107518i | ||||
\(337\) | −6.32944 | + | 2.81805i | −0.344786 | + | 0.153509i | −0.571822 | − | 0.820378i | \(-0.693763\pi\) |
0.227036 | + | 0.973886i | \(0.427097\pi\) | |||||||
\(338\) | −6.23266 | + | 2.77496i | −0.339012 | + | 0.150938i | ||||
\(339\) | −6.72263 | − | 0.663824i | −0.365123 | − | 0.0360539i | ||||
\(340\) | −27.1259 | + | 15.4923i | −1.47111 | + | 0.840190i | ||||
\(341\) | −5.45879 | − | 3.96604i | −0.295610 | − | 0.214773i | ||||
\(342\) | −1.02915 | + | 0.473821i | −0.0556503 | + | 0.0256213i | ||||
\(343\) | −12.6695 | −0.684087 | ||||||||
\(344\) | 7.50003 | − | 8.32963i | 0.404375 | − | 0.449104i | ||||
\(345\) | 5.17424 | − | 3.77208i | 0.278571 | − | 0.203082i | ||||
\(346\) | −3.01996 | − | 3.35400i | −0.162354 | − | 0.180312i | ||||
\(347\) | −3.53309 | − | 3.92390i | −0.189666 | − | 0.210646i | 0.640810 | − | 0.767699i | \(-0.278599\pi\) |
−0.830477 | + | 0.557053i | \(0.811932\pi\) | |||||||
\(348\) | 3.63885 | + | 8.03647i | 0.195063 | + | 0.430800i | ||||
\(349\) | 7.40744 | + | 12.8301i | 0.396511 | + | 0.686777i | 0.993293 | − | 0.115626i | \(-0.0368875\pi\) |
−0.596782 | + | 0.802404i | \(0.703554\pi\) | |||||||
\(350\) | −3.06453 | + | 2.18299i | −0.163806 | + | 0.116686i | ||||
\(351\) | 14.2171 | + | 30.3753i | 0.758854 | + | 1.62131i | ||||
\(352\) | −8.64745 | + | 6.28274i | −0.460911 | + | 0.334871i | ||||
\(353\) | 16.0891 | − | 3.41985i | 0.856338 | − | 0.182020i | 0.241235 | − | 0.970467i | \(-0.422448\pi\) |
0.615103 | + | 0.788446i | \(0.289114\pi\) | |||||||
\(354\) | 0.0895739 | + | 0.0509665i | 0.00476080 | + | 0.00270884i | ||||
\(355\) | 0.220169 | − | 0.196384i | 0.0116854 | − | 0.0104230i | ||||
\(356\) | −26.1363 | − | 5.55544i | −1.38522 | − | 0.294438i | ||||
\(357\) | 37.3551 | − | 12.3979i | 1.97704 | − | 0.656165i | ||||
\(358\) | 0.888485 | − | 0.986763i | 0.0469579 | − | 0.0521520i | ||||
\(359\) | −4.52740 | − | 3.28935i | −0.238947 | − | 0.173605i | 0.461867 | − | 0.886949i | \(-0.347180\pi\) |
−0.700814 | + | 0.713344i | \(0.747180\pi\) | |||||||
\(360\) | −5.97353 | + | 1.99329i | −0.314833 | + | 0.105055i | ||||
\(361\) | 13.3352 | − | 9.68863i | 0.701855 | − | 0.509928i | ||||
\(362\) | 0.420681 | − | 4.00252i | 0.0221105 | − | 0.210368i | ||||
\(363\) | −1.52479 | − | 6.95794i | −0.0800308 | − | 0.365197i | ||||
\(364\) | −4.14437 | − | 39.4310i | −0.217224 | − | 2.06675i | ||||
\(365\) | −4.28451 | + | 0.430060i | −0.224261 | + | 0.0225104i | ||||
\(366\) | −0.0270005 | − | 0.123209i | −0.00141134 | − | 0.00644025i | ||||
\(367\) | −1.21156 | + | 1.34557i | −0.0632427 | + | 0.0702382i | −0.773936 | − | 0.633264i | \(-0.781715\pi\) |
0.710693 | + | 0.703502i | \(0.248381\pi\) | |||||||
\(368\) | −6.05635 | −0.315709 | ||||||||
\(369\) | 13.4270 | + | 9.49934i | 0.698980 | + | 0.494516i | ||||
\(370\) | −0.00299948 | + | 0.641004i | −0.000155935 | + | 0.0333242i | ||||
\(371\) | −2.02108 | + | 0.429594i | −0.104929 | + | 0.0223034i | ||||
\(372\) | 0.0367713 | + | 5.84209i | 0.00190650 | + | 0.302898i | ||||
\(373\) | −0.685263 | − | 6.51984i | −0.0354816 | − | 0.337585i | −0.997834 | − | 0.0657804i | \(-0.979046\pi\) |
0.962353 | − | 0.271804i | \(-0.0876203\pi\) | |||||||
\(374\) | 3.32644 | − | 5.76157i | 0.172006 | − | 0.297924i | ||||
\(375\) | 9.81203 | − | 16.6950i | 0.506691 | − | 0.862128i | ||||
\(376\) | 2.88803 | + | 5.00221i | 0.148939 | + | 0.257969i | ||||
\(377\) | −13.6857 | + | 9.94323i | −0.704849 | + | 0.512103i | ||||
\(378\) | 3.88032 | − | 0.482074i | 0.199582 | − | 0.0247952i | ||||
\(379\) | −5.74831 | + | 17.6915i | −0.295271 | + | 0.908750i | 0.687860 | + | 0.725844i | \(0.258550\pi\) |
−0.983130 | + | 0.182906i | \(0.941450\pi\) | |||||||
\(380\) | −5.98613 | + | 3.41885i | −0.307082 | + | 0.175383i | ||||
\(381\) | 29.0891 | − | 3.24263i | 1.49028 | − | 0.166125i | ||||
\(382\) | −0.446656 | + | 0.773631i | −0.0228529 | + | 0.0395824i | ||||
\(383\) | 16.1666 | + | 3.43632i | 0.826075 | + | 0.175588i | 0.601504 | − | 0.798870i | \(-0.294568\pi\) |
0.224571 | + | 0.974458i | \(0.427902\pi\) | |||||||
\(384\) | 11.6986 | + | 3.71985i | 0.596990 | + | 0.189828i | ||||
\(385\) | −11.2935 | + | 25.0494i | −0.575569 | + | 1.27664i | ||||
\(386\) | 3.22486 | − | 2.34300i | 0.164141 | − | 0.119256i | ||||
\(387\) | 17.5180 | − | 31.2439i | 0.890491 | − | 1.58822i | ||||
\(388\) | 11.6886 | + | 8.49229i | 0.593400 | + | 0.431131i | ||||
\(389\) | −3.63182 | − | 1.61699i | −0.184141 | − | 0.0819847i | 0.312595 | − | 0.949886i | \(-0.398802\pi\) |
−0.496736 | + | 0.867902i | \(0.665468\pi\) | |||||||
\(390\) | −2.98379 | − | 5.14885i | −0.151090 | − | 0.260722i | ||||
\(391\) | 10.8577 | − | 4.83417i | 0.549098 | − | 0.244474i | ||||
\(392\) | −2.74732 | − | 0.583960i | −0.138760 | − | 0.0294944i | ||||
\(393\) | 21.1136 | + | 18.7715i | 1.06504 | + | 0.946896i | ||||
\(394\) | 1.80820 | − | 2.00821i | 0.0910960 | − | 0.101172i | ||||
\(395\) | −6.07391 | − | 2.00500i | −0.305612 | − | 0.100883i | ||||
\(396\) | −14.9519 | + | 17.0322i | −0.751362 | + | 0.855898i | ||||
\(397\) | 5.77168 | − | 17.7634i | 0.289672 | − | 0.891520i | −0.695287 | − | 0.718732i | \(-0.744723\pi\) |
0.984959 | − | 0.172787i | \(-0.0552773\pi\) | |||||||
\(398\) | −1.14242 | − | 0.508637i | −0.0572642 | − | 0.0254957i | ||||
\(399\) | 8.24351 | − | 2.73596i | 0.412692 | − | 0.136969i | ||||
\(400\) | −16.8014 | + | 7.29282i | −0.840069 | + | 0.364641i | ||||
\(401\) | 7.28121 | − | 12.6114i | 0.363606 | − | 0.629785i | −0.624945 | − | 0.780669i | \(-0.714879\pi\) |
0.988551 | + | 0.150884i | \(0.0482120\pi\) | |||||||
\(402\) | −0.634496 | − | 1.40130i | −0.0316458 | − | 0.0698903i | ||||
\(403\) | −10.9579 | + | 2.32917i | −0.545852 | + | 0.116024i | ||||
\(404\) | −4.96235 | + | 15.2725i | −0.246886 | + | 0.759837i | ||||
\(405\) | −17.2185 | + | 10.4174i | −0.855596 | + | 0.517645i | ||||
\(406\) | 0.609467 | + | 1.87575i | 0.0302474 | + | 0.0930918i | ||||
\(407\) | 2.34063 | + | 4.05408i | 0.116021 | + | 0.200953i | ||||
\(408\) | −11.6167 | + | 1.29494i | −0.575114 | + | 0.0641092i | ||||
\(409\) | −5.24999 | + | 2.33744i | −0.259595 | + | 0.115579i | −0.532408 | − | 0.846488i | \(-0.678713\pi\) |
0.272813 | + | 0.962067i | \(0.412046\pi\) | |||||||
\(410\) | −2.52059 | − | 1.47103i | −0.124483 | − | 0.0726491i | ||||
\(411\) | −5.74435 | + | 8.01198i | −0.283348 | + | 0.395202i | ||||
\(412\) | 2.22980 | − | 21.2151i | 0.109854 | − | 1.04519i | ||||
\(413\) | −0.639175 | − | 0.464388i | −0.0314517 | − | 0.0228510i | ||||
\(414\) | 1.15178 | − | 0.260013i | 0.0566067 | − | 0.0127789i | ||||
\(415\) | 0.293037 | − | 0.0936999i | 0.0143846 | − | 0.00459955i | ||||
\(416\) | −1.85503 | + | 17.6494i | −0.0909501 | + | 0.865332i | ||||
\(417\) | 5.02187 | − | 11.4731i | 0.245922 | − | 0.561841i | ||||
\(418\) | 0.734079 | − | 1.27146i | 0.0359050 | − | 0.0621893i | ||||
\(419\) | 14.5102 | + | 3.08423i | 0.708868 | + | 0.150675i | 0.548216 | − | 0.836337i | \(-0.315307\pi\) |
0.160652 | + | 0.987011i | \(0.448640\pi\) | |||||||
\(420\) | 23.2633 | − | 4.98405i | 1.13513 | − | 0.243197i | ||||
\(421\) | 11.6112 | − | 2.46804i | 0.565897 | − | 0.120285i | 0.0839255 | − | 0.996472i | \(-0.473254\pi\) |
0.481971 | + | 0.876187i | \(0.339921\pi\) | |||||||
\(422\) | −1.12395 | + | 3.45915i | −0.0547129 | + | 0.168389i | ||||
\(423\) | 12.5230 | + | 13.5610i | 0.608890 | + | 0.659357i | ||||
\(424\) | 0.613627 | 0.0298003 | ||||||||
\(425\) | 24.3001 | − | 26.4853i | 1.17873 | − | 1.28472i | ||||
\(426\) | 0.0516337 | − | 0.0171368i | 0.00250166 | − | 0.000830283i | ||||
\(427\) | 0.101074 | + | 0.961658i | 0.00489133 | + | 0.0465379i | ||||
\(428\) | −17.9391 | − | 19.9234i | −0.867121 | − | 0.963035i | ||||
\(429\) | −37.7728 | − | 21.4923i | −1.82369 | − | 1.03766i | ||||
\(430\) | −2.61230 | + | 5.79421i | −0.125976 | + | 0.279422i | ||||
\(431\) | −0.657311 | − | 2.02300i | −0.0316616 | − | 0.0974443i | 0.933977 | − | 0.357333i | \(-0.116314\pi\) |
−0.965638 | + | 0.259889i | \(0.916314\pi\) | |||||||
\(432\) | 18.9643 | + | 1.63186i | 0.912422 | + | 0.0785129i | ||||
\(433\) | −4.80484 | − | 14.7878i | −0.230906 | − | 0.710655i | −0.997638 | − | 0.0686884i | \(-0.978119\pi\) |
0.766732 | − | 0.641967i | \(-0.221881\pi\) | |||||||
\(434\) | −0.136526 | + | 1.29896i | −0.00655348 | + | 0.0623522i | ||||
\(435\) | −6.80441 | − | 7.53256i | −0.326246 | − | 0.361159i | ||||
\(436\) | 2.93548 | + | 27.9292i | 0.140584 | + | 1.33757i | ||||
\(437\) | 2.39608 | − | 1.06680i | 0.114620 | − | 0.0510321i | ||||
\(438\) | −0.756703 | − | 0.240613i | −0.0361567 | − | 0.0114969i | ||||
\(439\) | 18.0157 | + | 8.02110i | 0.859842 | + | 0.382826i | 0.788802 | − | 0.614647i | \(-0.210702\pi\) |
0.0710398 | + | 0.997473i | \(0.477368\pi\) | |||||||
\(440\) | 4.82731 | − | 6.57925i | 0.230133 | − | 0.313654i | ||||
\(441\) | −8.97514 | + | 0.112987i | −0.427388 | + | 0.00538035i | ||||
\(442\) | −3.41332 | − | 10.5051i | −0.162355 | − | 0.499678i | ||||
\(443\) | −18.9074 | − | 32.7486i | −0.898320 | − | 1.55594i | −0.829642 | − | 0.558296i | \(-0.811455\pi\) |
−0.0686778 | − | 0.997639i | \(-0.521878\pi\) | |||||||
\(444\) | 1.62526 | − | 3.71311i | 0.0771312 | − | 0.176216i | ||||
\(445\) | 30.5916 | − | 3.07065i | 1.45018 | − | 0.145563i | ||||
\(446\) | 0.380164 | + | 0.422215i | 0.0180013 | + | 0.0199925i | ||||
\(447\) | 22.2194 | − | 13.0156i | 1.05094 | − | 0.615614i | ||||
\(448\) | −19.2663 | − | 8.57790i | −0.910246 | − | 0.405268i | ||||
\(449\) | 5.81005 | 0.274193 | 0.137096 | − | 0.990558i | \(-0.456223\pi\) | ||||
0.137096 | + | 0.990558i | \(0.456223\pi\) | |||||||
\(450\) | 2.88213 | − | 2.10824i | 0.135865 | − | 0.0993835i | ||||
\(451\) | −21.3131 | −1.00360 | ||||||||
\(452\) | −6.92407 | − | 3.08279i | −0.325681 | − | 0.145002i | ||||
\(453\) | 0.141814 | + | 22.5309i | 0.00666302 | + | 1.05859i | ||||
\(454\) | −0.667029 | − | 0.740810i | −0.0313052 | − | 0.0347680i | ||||
\(455\) | 18.3604 | + | 41.7631i | 0.860751 | + | 1.95788i | ||||
\(456\) | −2.56358 | + | 0.285768i | −0.120051 | + | 0.0133823i | ||||
\(457\) | 6.14909 | + | 10.6505i | 0.287642 | + | 0.498211i | 0.973247 | − | 0.229763i | \(-0.0737952\pi\) |
−0.685604 | + | 0.727974i | \(0.740462\pi\) | |||||||
\(458\) | 1.20393 | + | 3.70532i | 0.0562561 | + | 0.173138i | ||||
\(459\) | −35.3015 | + | 12.2117i | −1.64773 | + | 0.569995i | ||||
\(460\) | 6.84299 | − | 2.18807i | 0.319056 | − | 0.102019i | ||||
\(461\) | 10.4194 | + | 4.63904i | 0.485282 | + | 0.216062i | 0.634769 | − | 0.772702i | \(-0.281095\pi\) |
−0.149487 | + | 0.988764i | \(0.547762\pi\) | |||||||
\(462\) | −3.74401 | + | 3.41404i | −0.174187 | + | 0.158835i | ||||
\(463\) | −7.79120 | + | 3.46887i | −0.362088 | + | 0.161212i | −0.579713 | − | 0.814820i | \(-0.696835\pi\) |
0.217626 | + | 0.976032i | \(0.430169\pi\) | |||||||
\(464\) | 1.00357 | + | 9.54835i | 0.0465896 | + | 0.443271i | ||||
\(465\) | −2.08762 | − | 6.38989i | −0.0968109 | − | 0.296324i | ||||
\(466\) | 0.0393089 | − | 0.373999i | 0.00182095 | − | 0.0173252i | ||||
\(467\) | −4.57078 | − | 14.0674i | −0.211510 | − | 0.650962i | −0.999383 | − | 0.0351238i | \(-0.988817\pi\) |
0.787873 | − | 0.615838i | \(-0.211183\pi\) | |||||||
\(468\) | 4.40404 | + | 37.3702i | 0.203577 | + | 1.72744i | ||||
\(469\) | 3.64408 | + | 11.2153i | 0.168268 | + | 0.517875i | ||||
\(470\) | −2.42375 | − | 2.20298i | −0.111799 | − | 0.101616i | ||||
\(471\) | −27.4966 | + | 16.1068i | −1.26698 | + | 0.742161i | ||||
\(472\) | 0.156999 | + | 0.174365i | 0.00722647 | + | 0.00802581i | ||||
\(473\) | 4.85183 | + | 46.1621i | 0.223087 | + | 2.12253i | ||||
\(474\) | −0.881474 | − | 0.783693i | −0.0404874 | − | 0.0359962i | ||||
\(475\) | 5.36254 | − | 5.84477i | 0.246050 | − | 0.268176i | ||||
\(476\) | 44.1597 | 2.02406 | ||||||||
\(477\) | 1.91286 | − | 0.431826i | 0.0875836 | − | 0.0197720i | ||||
\(478\) | 0.248916 | − | 0.766086i | 0.0113852 | − | 0.0350400i | ||||
\(479\) | 37.6768 | − | 8.00845i | 1.72150 | − | 0.365915i | 0.761987 | − | 0.647592i | \(-0.224224\pi\) |
0.959509 | + | 0.281676i | \(0.0908904\pi\) | |||||||
\(480\) | −10.6490 | + | 0.0171962i | −0.486057 | + | 0.000784893i | ||||
\(481\) | 7.60241 | + | 1.61594i | 0.346640 | + | 0.0736806i | ||||
\(482\) | −2.17391 | + | 3.76533i | −0.0990191 | + | 0.171506i | ||||
\(483\) | −8.99616 | + | 1.00282i | −0.409340 | + | 0.0456300i | ||||
\(484\) | 0.835385 | − | 7.94815i | 0.0379720 | − | 0.361280i | ||||
\(485\) | −15.7865 | − | 5.21114i | −0.716828 | − | 0.236626i | ||||
\(486\) | −3.67663 | + | 0.503840i | −0.166775 | + | 0.0228547i | ||||
\(487\) | −17.5649 | − | 12.7617i | −0.795944 | − | 0.578287i | 0.113778 | − | 0.993506i | \(-0.463705\pi\) |
−0.909721 | + | 0.415219i | \(0.863705\pi\) | |||||||
\(488\) | 0.0300169 | − | 0.285591i | 0.00135880 | − | 0.0129281i | ||||
\(489\) | −5.05823 | − | 11.1712i | −0.228741 | − | 0.505179i | ||||
\(490\) | 1.58471 | − | 0.159066i | 0.0715898 | − | 0.00718587i | ||||
\(491\) | −21.9371 | + | 9.76704i | −0.990009 | + | 0.440780i | −0.836857 | − | 0.547422i | \(-0.815609\pi\) |
−0.153152 | + | 0.988203i | \(0.548943\pi\) | |||||||
\(492\) | 10.9406 | + | 14.8609i | 0.493241 | + | 0.669980i | ||||
\(493\) | −9.42066 | − | 16.3171i | −0.424285 | − | 0.734883i | ||||
\(494\) | −0.753251 | − | 2.31827i | −0.0338904 | − | 0.104304i | ||||
\(495\) | 10.4181 | − | 23.9066i | 0.468260 | − | 1.07452i | ||||
\(496\) | −1.96476 | + | 6.04692i | −0.0882205 | + | 0.271515i | ||||
\(497\) | −0.407950 | + | 0.0867124i | −0.0182990 | + | 0.00388958i | ||||
\(498\) | 0.0564569 | + | 0.00557482i | 0.00252989 | + | 0.000249814i | ||||
\(499\) | −8.41774 | + | 14.5800i | −0.376830 | + | 0.652688i | −0.990599 | − | 0.136797i | \(-0.956319\pi\) |
0.613769 | + | 0.789485i | \(0.289653\pi\) | |||||||
\(500\) | 16.3488 | − | 14.3102i | 0.731142 | − | 0.639970i | ||||
\(501\) | −4.66779 | − | 4.15000i | −0.208541 | − | 0.185408i | ||||
\(502\) | 5.55897 | + | 2.47501i | 0.248109 | + | 0.110465i | ||||
\(503\) | 0.184791 | − | 0.568727i | 0.00823941 | − | 0.0253583i | −0.946852 | − | 0.321669i | \(-0.895756\pi\) |
0.955092 | + | 0.296310i | \(0.0957563\pi\) | |||||||
\(504\) | 8.73025 | + | 1.74111i | 0.388876 | + | 0.0775551i | ||||
\(505\) | 0.0864618 | − | 18.4773i | 0.00384750 | − | 0.822231i | ||||
\(506\) | −1.02381 | + | 1.13706i | −0.0455139 | + | 0.0505483i | ||||
\(507\) | −47.1114 | + | 15.6359i | −2.09229 | + | 0.694416i | ||||
\(508\) | 32.1220 | + | 6.82774i | 1.42518 | + | 0.302932i | ||||
\(509\) | 11.2050 | − | 4.98877i | 0.496651 | − | 0.221123i | −0.143096 | − | 0.989709i | \(-0.545706\pi\) |
0.639747 | + | 0.768586i | \(0.279039\pi\) | |||||||
\(510\) | 6.05069 | − | 2.70566i | 0.267929 | − | 0.119808i | ||||
\(511\) | 5.56094 | + | 2.47589i | 0.246001 | + | 0.109527i | ||||
\(512\) | 13.7126 | + | 9.96279i | 0.606017 | + | 0.440297i | ||||
\(513\) | −7.79033 | + | 2.69488i | −0.343951 | + | 0.118982i | ||||
\(514\) | −2.51217 | + | 1.82520i | −0.110807 | + | 0.0805060i | ||||
\(515\) | 4.99088 | + | 24.0326i | 0.219924 | + | 1.05900i | ||||
\(516\) | 29.6965 | − | 27.0793i | 1.30732 | − | 1.19210i | ||||
\(517\) | −23.3967 | − | 4.97311i | −1.02898 | − | 0.218717i | ||||
\(518\) | 0.453081 | − | 0.784759i | 0.0199072 | − | 0.0344803i | ||||
\(519\) | −19.4679 | − | 26.4437i | −0.854548 | − | 1.16075i | ||||
\(520\) | −2.75483 | − | 13.2654i | −0.120807 | − | 0.581724i | ||||
\(521\) | −8.73777 | + | 26.8921i | −0.382809 | + | 1.17816i | 0.555249 | + | 0.831684i | \(0.312623\pi\) |
−0.938058 | + | 0.346479i | \(0.887377\pi\) | |||||||
\(522\) | −0.600788 | − | 1.77278i | −0.0262958 | − | 0.0775927i | ||||
\(523\) | 23.4654 | − | 17.0486i | 1.02607 | − | 0.745484i | 0.0585521 | − | 0.998284i | \(-0.481352\pi\) |
0.967518 | + | 0.252800i | \(0.0813516\pi\) | |||||||
\(524\) | 15.8489 | + | 27.4510i | 0.692361 | + | 1.19920i | ||||
\(525\) | −23.7494 | + | 13.6148i | −1.03651 | + | 0.594200i | ||||
\(526\) | 2.93797 | − | 5.08871i | 0.128101 | − | 0.221878i | ||||
\(527\) | −1.30425 | − | 12.4091i | −0.0568139 | − | 0.540548i | ||||
\(528\) | −21.2827 | + | 12.4669i | −0.926212 | + | 0.542550i | ||||
\(529\) | 19.8237 | − | 4.21366i | 0.861900 | − | 0.183203i | ||||
\(530\) | −0.331427 | + | 0.105975i | −0.0143963 | + | 0.00460327i | ||||
\(531\) | 0.612118 | + | 0.433063i | 0.0265637 | + | 0.0187933i | ||||
\(532\) | 9.74516 | 0.422506 | ||||||||
\(533\) | −23.6779 | + | 26.2970i | −1.02560 | + | 1.13905i | ||||
\(534\) | 5.40289 | + | 1.71799i | 0.233806 | + | 0.0743445i | ||||
\(535\) | 26.6428 | + | 15.5489i | 1.15187 | + | 0.672239i | ||||
\(536\) | −0.366070 | − | 3.48292i | −0.0158118 | − | 0.150439i | ||||
\(537\) | 7.13855 | − | 6.50940i | 0.308051 | − | 0.280901i | ||||
\(538\) | −0.0618781 | + | 0.588731i | −0.00266775 | + | 0.0253820i | ||||
\(539\) | 9.40980 | − | 6.83662i | 0.405309 | − | 0.294474i | ||||
\(540\) | −22.0171 | + | 5.00773i | −0.947465 | + | 0.215498i | ||||
\(541\) | 27.2419 | + | 19.7924i | 1.17122 | + | 0.850941i | 0.991154 | − | 0.132714i | \(-0.0423690\pi\) |
0.180065 | + | 0.983655i | \(0.442369\pi\) | |||||||
\(542\) | −3.50173 | + | 3.88906i | −0.150412 | + | 0.167050i | ||||
\(543\) | 5.90756 | − | 28.6793i | 0.253518 | − | 1.23075i | ||||
\(544\) | −19.3340 | − | 4.10957i | −0.828939 | − | 0.176196i | ||||
\(545\) | −13.0048 | − | 29.5810i | −0.557064 | − | 1.26711i | ||||
\(546\) | 0.0529490 | + | 8.41234i | 0.00226601 | + | 0.360015i | ||||
\(547\) | 29.2637 | − | 6.22019i | 1.25123 | − | 0.265956i | 0.465788 | − | 0.884897i | \(-0.345771\pi\) |
0.785438 | + | 0.618940i | \(0.212438\pi\) | |||||||
\(548\) | −8.94854 | + | 6.50150i | −0.382263 | + | 0.277730i | ||||
\(549\) | −0.107407 | − | 0.911397i | −0.00458403 | − | 0.0388975i | ||||
\(550\) | −1.47103 | + | 4.38722i | −0.0627248 | + | 0.187072i | ||||
\(551\) | −2.07895 | − | 3.60085i | −0.0885662 | − | 0.153401i | ||||
\(552\) | 2.67520 | + | 0.264162i | 0.113864 | + | 0.0112435i | ||||
\(553\) | 6.05032 | + | 6.71957i | 0.257286 | + | 0.285745i | ||||
\(554\) | 1.24309 | + | 1.38059i | 0.0528139 | + | 0.0586558i | ||||
\(555\) | −0.480009 | + | 4.63903i | −0.0203752 | + | 0.196916i | ||||
\(556\) | 9.40244 | − | 10.4425i | 0.398752 | − | 0.442859i | ||||
\(557\) | 11.2275 | 0.475724 | 0.237862 | − | 0.971299i | \(-0.423553\pi\) | ||||
0.237862 | + | 0.971299i | \(0.423553\pi\) | |||||||
\(558\) | 0.114044 | − | 1.23433i | 0.00482786 | − | 0.0522535i | ||||
\(559\) | 62.3467 | + | 45.2975i | 2.63698 | + | 1.91588i | ||||
\(560\) | 25.7374 | + | 2.82693i | 1.08760 | + | 0.119460i | ||||
\(561\) | 28.2043 | − | 39.3382i | 1.19079 | − | 1.66086i | ||||
\(562\) | −2.91675 | + | 1.29862i | −0.123036 | + | 0.0547791i | ||||
\(563\) | −5.27419 | + | 2.34822i | −0.222281 | + | 0.0989658i | −0.514856 | − | 0.857277i | \(-0.672155\pi\) |
0.292575 | + | 0.956243i | \(0.405488\pi\) | |||||||
\(564\) | 8.54259 | + | 18.8665i | 0.359708 | + | 0.794422i | ||||
\(565\) | 8.66895 | + | 0.952176i | 0.364705 | + | 0.0400584i | ||||
\(566\) | 0.104891 | + | 0.0762074i | 0.00440888 | + | 0.00320324i | ||||
\(567\) | 28.4400 | − | 0.716172i | 1.19437 | − | 0.0300764i | ||||
\(568\) | 0.123859 | 0.00519700 | ||||||||
\(569\) | 16.5397 | − | 18.3692i | 0.693380 | − | 0.770076i | −0.288928 | − | 0.957351i | \(-0.593299\pi\) |
0.982308 | + | 0.187275i | \(0.0599655\pi\) | |||||||
\(570\) | 1.33527 | − | 0.597084i | 0.0559281 | − | 0.0250091i | ||||
\(571\) | −16.5015 | − | 18.3268i | −0.690568 | − | 0.766954i | 0.291277 | − | 0.956639i | \(-0.405920\pi\) |
−0.981845 | + | 0.189685i | \(0.939253\pi\) | |||||||
\(572\) | −32.6271 | − | 36.2360i | −1.36421 | − | 1.51510i | ||||
\(573\) | −3.78711 | + | 5.28211i | −0.158209 | + | 0.220663i | ||||
\(574\) | 2.06282 | + | 3.57291i | 0.0861004 | + | 0.149130i | ||||
\(575\) | −6.73294 | + | 4.79614i | −0.280783 | + | 0.200013i | ||||
\(576\) | 18.3860 | + | 7.91017i | 0.766083 | + | 0.329591i | ||||
\(577\) | 16.1544 | − | 11.7369i | 0.672518 | − | 0.488613i | −0.198349 | − | 0.980131i | \(-0.563558\pi\) |
0.870867 | + | 0.491518i | \(0.163558\pi\) | |||||||
\(578\) | 8.07517 | − | 1.71643i | 0.335883 | − | 0.0713941i | ||||
\(579\) | 25.0247 | − | 14.6588i | 1.03999 | − | 0.609198i | ||||
\(580\) | −4.58360 | − | 10.4260i | −0.190324 | − | 0.432915i | ||||
\(581\) | −0.425408 | − | 0.0904234i | −0.0176489 | − | 0.00375139i | ||||
\(582\) | −2.29101 | − | 2.03687i | −0.0949653 | − | 0.0844310i | ||||
\(583\) | −1.70033 | + | 1.88841i | −0.0704206 | + | 0.0782099i | ||||
\(584\) | −1.46251 | − | 1.06258i | −0.0605193 | − | 0.0439698i | ||||
\(585\) | −17.9228 | − | 39.4134i | −0.741017 | − | 1.62954i | ||||
\(586\) | −4.06392 | + | 2.95261i | −0.167879 | + | 0.121971i | ||||
\(587\) | −2.10300 | + | 20.0087i | −0.0868001 | + | 0.825848i | 0.861347 | + | 0.508017i | \(0.169621\pi\) |
−0.948147 | + | 0.317831i | \(0.897046\pi\) | |||||||
\(588\) | −9.59723 | − | 3.05168i | −0.395783 | − | 0.125849i | ||||
\(589\) | −0.287821 | − | 2.73844i | −0.0118595 | − | 0.112835i | ||||
\(590\) | −0.114910 | − | 0.0670625i | −0.00473079 | − | 0.00276092i | ||||
\(591\) | 14.5280 | − | 13.2476i | 0.597603 | − | 0.544934i | ||||
\(592\) | 2.95163 | − | 3.27812i | 0.121311 | − | 0.134730i | ||||
\(593\) | −26.2817 | −1.07926 | −0.539630 | − | 0.841902i | \(-0.681436\pi\) | ||||
−0.539630 | + | 0.841902i | \(0.681436\pi\) | |||||||
\(594\) | 3.51224 | − | 3.28462i | 0.144109 | − | 0.134769i | ||||
\(595\) | −48.3979 | + | 15.4754i | −1.98412 | + | 0.634431i | ||||
\(596\) | 28.2606 | − | 6.00698i | 1.15760 | − | 0.246056i | ||||
\(597\) | −7.90798 | − | 4.49955i | −0.323652 | − | 0.184154i | ||||
\(598\) | 0.265539 | + | 2.52643i | 0.0108587 | + | 0.103313i | ||||
\(599\) | 10.6072 | − | 18.3722i | 0.433397 | − | 0.750666i | −0.563766 | − | 0.825935i | \(-0.690648\pi\) |
0.997163 | + | 0.0752684i | \(0.0239814\pi\) | |||||||
\(600\) | 7.73957 | − | 2.48854i | 0.315967 | − | 0.101594i | ||||
\(601\) | −19.6890 | − | 34.1024i | −0.803132 | − | 1.39107i | −0.917545 | − | 0.397633i | \(-0.869832\pi\) |
0.114412 | − | 0.993433i | \(-0.463501\pi\) | |||||||
\(602\) | 7.26896 | − | 5.28121i | 0.296261 | − | 0.215246i | ||||
\(603\) | −3.59218 | − | 10.5997i | −0.146285 | − | 0.431653i | ||||
\(604\) | −7.81187 | + | 24.0425i | −0.317861 | + | 0.978274i | ||||
\(605\) | 1.86981 | + | 9.00373i | 0.0760186 | + | 0.366054i | ||||
\(606\) | 1.36624 | − | 3.12136i | 0.0554998 | − | 0.126796i | ||||
\(607\) | 20.2987 | − | 35.1584i | 0.823898 | − | 1.42703i | −0.0788598 | − | 0.996886i | \(-0.525128\pi\) |
0.902758 | − | 0.430148i | \(-0.141539\pi\) | |||||||
\(608\) | −4.26663 | − | 0.906900i | −0.173035 | − | 0.0367796i | ||||
\(609\) | 3.07175 | + | 14.0170i | 0.124474 | + | 0.567999i | ||||
\(610\) | 0.0331100 | + | 0.159435i | 0.00134059 | + | 0.00645535i | ||||
\(611\) | −32.1286 | + | 23.3428i | −1.29978 | + | 0.944349i | ||||
\(612\) | −41.9071 | + | 0.527565i | −1.69400 | + | 0.0213256i | ||||
\(613\) | 16.2372 | + | 11.7970i | 0.655814 | + | 0.476477i | 0.865247 | − | 0.501346i | \(-0.167162\pi\) |
−0.209432 | + | 0.977823i | \(0.567162\pi\) | |||||||
\(614\) | −0.102027 | − | 0.0454255i | −0.00411748 | − | 0.00183322i | ||||
\(615\) | −17.1985 | − | 12.4531i | −0.693511 | − | 0.502156i | ||||
\(616\) | −10.5384 | + | 4.69198i | −0.424603 | + | 0.189045i | ||||
\(617\) | 4.71104 | + | 1.00136i | 0.189659 | + | 0.0403134i | 0.301762 | − | 0.953383i | \(-0.402425\pi\) |
−0.112103 | + | 0.993697i | \(0.535759\pi\) | |||||||
\(618\) | −0.913163 | + | 4.43312i | −0.0367328 | + | 0.178326i | ||||
\(619\) | −13.9520 | + | 15.4953i | −0.560778 | + | 0.622807i | −0.955142 | − | 0.296147i | \(-0.904298\pi\) |
0.394364 | + | 0.918954i | \(0.370965\pi\) | |||||||
\(620\) | 0.0352924 | − | 7.54217i | 0.00141738 | − | 0.302901i | ||||
\(621\) | 8.52529 | − | 1.05914i | 0.342108 | − | 0.0425020i | ||||
\(622\) | −1.85737 | + | 5.71638i | −0.0744736 | + | 0.229206i | ||||
\(623\) | −39.7054 | − | 17.6780i | −1.59076 | − | 0.708253i | ||||
\(624\) | −8.26203 | + | 40.1095i | −0.330746 | + | 1.60567i | ||||
\(625\) | −12.9030 | + | 21.4129i | −0.516121 | + | 0.856516i | ||||
\(626\) | 0.407214 | − | 0.705316i | 0.0162756 | − | 0.0281901i | ||||
\(627\) | 6.22412 | − | 8.68115i | 0.248567 | − | 0.346692i | ||||
\(628\) | −34.9726 | + | 7.43365i | −1.39556 | + | 0.296635i | ||||
\(629\) | −2.67505 | + | 8.23294i | −0.106661 | + | 0.328269i | ||||
\(630\) | −5.01600 | + | 0.567347i | −0.199842 | + | 0.0226036i | ||||
\(631\) | 5.06778 | + | 15.5970i | 0.201745 | + | 0.620908i | 0.999831 | + | 0.0183646i | \(0.00584598\pi\) |
−0.798086 | + | 0.602543i | \(0.794154\pi\) | |||||||
\(632\) | −1.34265 | − | 2.32554i | −0.0534077 | − | 0.0925048i | ||||
\(633\) | −10.6111 | + | 24.2423i | −0.421752 | + | 0.963546i | ||||
\(634\) | 5.93548 | − | 2.64265i | 0.235728 | − | 0.104953i | ||||
\(635\) | −37.5976 | + | 3.77388i | −1.49202 | + | 0.149762i | ||||
\(636\) | 2.18955 | + | 0.216206i | 0.0868212 | + | 0.00857313i | ||||
\(637\) | 2.01856 | − | 19.2053i | 0.0799783 | − | 0.760943i | ||||
\(638\) | 1.96231 | + | 1.42571i | 0.0776888 | + | 0.0564442i | ||||
\(639\) | 0.386104 | − | 0.0871629i | 0.0152741 | − | 0.00344811i | ||||
\(640\) | −15.0492 | − | 4.96775i | −0.594871 | − | 0.196367i | ||||
\(641\) | −3.43163 | + | 32.6498i | −0.135541 | + | 1.28959i | 0.689405 | + | 0.724376i | \(0.257872\pi\) |
−0.824946 | + | 0.565212i | \(0.808794\pi\) | |||||||
\(642\) | 3.37247 | + | 4.58090i | 0.133101 | + | 0.180794i | ||||
\(643\) | −8.85367 | + | 15.3350i | −0.349155 | + | 0.604754i | −0.986100 | − | 0.166156i | \(-0.946865\pi\) |
0.636945 | + | 0.770909i | \(0.280198\pi\) | |||||||
\(644\) | −9.93411 | − | 2.11156i | −0.391459 | − | 0.0832071i | ||||
\(645\) | −23.0569 | + | 40.0851i | −0.907865 | + | 1.57835i | ||||
\(646\) | 2.65561 | − | 0.564467i | 0.104484 | − | 0.0222087i | ||||
\(647\) | −9.85870 | + | 30.3419i | −0.387585 | + | 1.19287i | 0.547002 | + | 0.837131i | \(0.315769\pi\) |
−0.934587 | + | 0.355734i | \(0.884231\pi\) | |||||||
\(648\) | −8.30572 | − | 1.54800i | −0.326279 | − | 0.0608110i | ||||
\(649\) | −0.971639 | −0.0381402 | ||||||||
\(650\) | 3.77888 | + | 6.68901i | 0.148220 | + | 0.262364i | ||||
\(651\) | −1.91722 | + | 9.30749i | −0.0751417 | + | 0.364789i | ||||
\(652\) | −1.43819 | − | 13.6835i | −0.0563239 | − | 0.535887i | ||||
\(653\) | −17.4627 | − | 19.3943i | −0.683368 | − | 0.758957i | 0.297269 | − | 0.954794i | \(-0.403924\pi\) |
−0.980636 | + | 0.195837i | \(0.937258\pi\) | |||||||
\(654\) | −0.0375040 | − | 5.95850i | −0.00146652 | − | 0.232996i | ||||
\(655\) | −26.9900 | − | 24.5315i | −1.05458 | − | 0.958526i | ||||
\(656\) | 6.20611 | + | 19.1004i | 0.242308 | + | 0.745747i | ||||
\(657\) | −5.30686 | − | 2.28316i | −0.207040 | − | 0.0890745i | ||||
\(658\) | 1.43079 | + | 4.40352i | 0.0557780 | + | 0.171667i | ||||
\(659\) | −3.27906 | + | 31.1982i | −0.127734 | + | 1.21531i | 0.723426 | + | 0.690402i | \(0.242566\pi\) |
−0.851160 | + | 0.524906i | \(0.824100\pi\) | |||||||
\(660\) | 19.5430 | − | 21.7753i | 0.760709 | − | 0.847601i | ||||
\(661\) | −2.52351 | − | 24.0096i | −0.0981531 | − | 0.933864i | −0.927170 | − | 0.374641i | \(-0.877766\pi\) |
0.829017 | − | 0.559223i | \(-0.188901\pi\) | |||||||
\(662\) | 2.85051 | − | 1.26913i | 0.110788 | − | 0.0493261i | ||||
\(663\) | −17.2033 | − | 78.5024i | −0.668122 | − | 3.04878i | ||||
\(664\) | 0.117993 | + | 0.0525339i | 0.00457902 | + | 0.00203871i | ||||
\(665\) | −10.6804 | + | 3.41512i | −0.414170 | + | 0.132433i | ||||
\(666\) | −0.420594 | + | 0.750142i | −0.0162977 | + | 0.0290674i | ||||
\(667\) | 1.33903 | + | 4.12112i | 0.0518476 | + | 0.159571i | ||||
\(668\) | −3.50387 | − | 6.06887i | −0.135569 | − | 0.234812i | ||||
\(669\) | 2.45070 | + | 3.32884i | 0.0947495 | + | 0.128700i | ||||
\(670\) | 0.799230 | + | 1.81795i | 0.0308769 | + | 0.0702334i | ||||
\(671\) | 0.795720 | + | 0.883737i | 0.0307184 | + | 0.0341163i | ||||
\(672\) | 13.0842 | + | 7.44473i | 0.504732 | + | 0.287187i | ||||
\(673\) | 24.1911 | + | 10.7706i | 0.932499 | + | 0.415175i | 0.816024 | − | 0.578018i | \(-0.196174\pi\) |
0.116475 | + | 0.993194i | \(0.462840\pi\) | |||||||
\(674\) | 1.64938 | 0.0635319 | ||||||||
\(675\) | 22.3753 | − | 13.2041i | 0.861224 | − | 0.508225i | ||||
\(676\) | −55.6932 | −2.14205 | ||||||||
\(677\) | −9.54246 | − | 4.24858i | −0.366747 | − | 0.163286i | 0.215085 | − | 0.976595i | \(-0.430997\pi\) |
−0.581832 | + | 0.813309i | \(0.697664\pi\) | |||||||
\(678\) | 1.39775 | + | 0.795305i | 0.0536803 | + | 0.0305435i | ||||
\(679\) | 15.7252 | + | 17.4646i | 0.603478 | + | 0.670230i | ||||
\(680\) | 15.0146 | − | 1.50710i | 0.575782 | − | 0.0577945i | ||||
\(681\) | −4.29995 | − | 5.84071i | −0.164775 | − | 0.223817i | ||||
\(682\) | 0.803147 | + | 1.39109i | 0.0307541 | + | 0.0532677i | ||||
\(683\) | 8.03768 | + | 24.7374i | 0.307553 | + | 0.946552i | 0.978712 | + | 0.205238i | \(0.0657969\pi\) |
−0.671159 | + | 0.741314i | \(0.734203\pi\) | |||||||
\(684\) | −9.24806 | + | 0.116423i | −0.353608 | + | 0.00445155i | ||||
\(685\) | 7.52897 | − | 10.2614i | 0.287667 | − | 0.392069i | ||||
\(686\) | 2.75534 | + | 1.22676i | 0.105199 | + | 0.0468378i | ||||
\(687\) | 6.06789 | + | 27.6890i | 0.231504 | + | 1.05640i | ||||
\(688\) | 39.9568 | − | 17.7899i | 1.52334 | − | 0.678234i | ||||
\(689\) | 0.441004 | + | 4.19587i | 0.0168009 | + | 0.159850i | ||||
\(690\) | −1.49053 | + | 0.319338i | −0.0567435 | + | 0.0121570i | ||||
\(691\) | −0.421945 | + | 4.01454i | −0.0160515 | + | 0.152720i | −0.999612 | − | 0.0278597i | \(-0.991131\pi\) |
0.983560 | + | 0.180580i | \(0.0577975\pi\) | |||||||
\(692\) | −11.3850 | − | 35.0393i | −0.432791 | − | 1.33199i | ||||
\(693\) | −29.5493 | + | 22.0424i | −1.12249 | + | 0.837323i | ||||
\(694\) | 0.388430 | + | 1.19547i | 0.0147446 | + | 0.0453793i | ||||
\(695\) | −6.64535 | + | 14.7397i | −0.252072 | + | 0.559108i | ||||
\(696\) | −0.0268225 | − | 4.26145i | −0.00101670 | − | 0.161530i | ||||
\(697\) | −26.3721 | − | 29.2892i | −0.998915 | − | 1.10941i | ||||
\(698\) | −0.368654 | − | 3.50751i | −0.0139538 | − | 0.132761i | ||||
\(699\) | 0.552008 | − | 2.67982i | 0.0208789 | − | 0.101360i | ||||
\(700\) | −30.1016 | + | 6.10443i | −1.13773 | + | 0.230726i | ||||
\(701\) | 47.5351 | 1.79538 | 0.897688 | − | 0.440631i | \(-0.145245\pi\) | ||||
0.897688 | + | 0.440631i | \(0.145245\pi\) | |||||||
\(702\) | −0.150748 | − | 7.98260i | −0.00568963 | − | 0.301284i | ||||
\(703\) | −0.590329 | + | 1.81685i | −0.0222647 | + | 0.0685236i | ||||
\(704\) | −25.3697 | + | 5.39249i | −0.956156 | + | 0.203237i | ||||
\(705\) | −15.9741 | − | 17.6835i | −0.601618 | − | 0.665999i | ||||
\(706\) | −3.83018 | − | 0.814131i | −0.144151 | − | 0.0306402i | ||||
\(707\) | −13.0603 | + | 22.6212i | −0.491184 | + | 0.850756i | ||||
\(708\) | 0.498769 | + | 0.677488i | 0.0187449 | + | 0.0254616i | ||||
\(709\) | 3.30725 | − | 31.4664i | 0.124206 | − | 1.18174i | −0.737862 | − | 0.674952i | \(-0.764164\pi\) |
0.862068 | − | 0.506792i | \(-0.169169\pi\) | |||||||
\(710\) | −0.0668976 | + | 0.0213908i | −0.00251062 | + | 0.000802782i | ||||
\(711\) | −5.82198 | − | 6.30452i | −0.218341 | − | 0.236438i | ||||
\(712\) | 10.4424 | + | 7.58686i | 0.391346 | + | 0.284330i | ||||
\(713\) | −0.299956 | + | 2.85389i | −0.0112335 | + | 0.106879i | ||||
\(714\) | −9.32439 | − | 0.920735i | −0.348957 | − | 0.0344576i | ||||
\(715\) | 48.4571 | + | 28.2798i | 1.81219 | + | 1.05761i | ||||
\(716\) | 9.90213 | − | 4.40871i | 0.370060 | − | 0.164761i | ||||
\(717\) | 2.34999 | − | 5.36886i | 0.0877621 | − | 0.200504i | ||||
\(718\) | 0.666113 | + | 1.15374i | 0.0248591 | + | 0.0430573i | ||||
\(719\) | −16.1827 | − | 49.8053i | −0.603514 | − | 1.85742i | −0.506702 | − | 0.862121i | \(-0.669135\pi\) |
−0.0968119 | − | 0.995303i | \(-0.530865\pi\) | |||||||
\(720\) | −24.4583 | − | 2.37525i | −0.911506 | − | 0.0885203i | ||||
\(721\) | 10.7224 | − | 33.0002i | 0.399324 | − | 1.22899i | ||||
\(722\) | −3.83826 | + | 0.815848i | −0.142845 | + | 0.0303627i | ||||
\(723\) | −18.4322 | + | 25.7085i | −0.685501 | + | 0.956110i | ||||
\(724\) | 16.4266 | − | 28.4517i | 0.610490 | − | 1.05740i | ||||
\(725\) | 8.67721 | + | 9.82030i | 0.322264 | + | 0.364717i | ||||
\(726\) | −0.342113 | + | 1.66085i | −0.0126970 | + | 0.0616398i | ||||
\(727\) | 33.6167 | + | 14.9671i | 1.24678 | + | 0.555100i | 0.920710 | − | 0.390247i | \(-0.127610\pi\) |
0.326065 | + | 0.945347i | \(0.394277\pi\) | |||||||
\(728\) | −5.91848 | + | 18.2152i | −0.219353 | + | 0.675100i | ||||
\(729\) | −26.9807 | + | 1.01941i | −0.999287 | + | 0.0377558i | ||||
\(730\) | 0.973432 | + | 0.321331i | 0.0360283 | + | 0.0118930i | ||||
\(731\) | −57.4339 | + | 63.7869i | −2.12427 | + | 2.35924i | ||||
\(732\) | 0.207732 | − | 1.00847i | 0.00767800 | − | 0.0372742i | ||||
\(733\) | −21.2694 | − | 4.52096i | −0.785604 | − | 0.166985i | −0.202391 | − | 0.979305i | \(-0.564871\pi\) |
−0.583213 | + | 0.812319i | \(0.698205\pi\) | |||||||
\(734\) | 0.393776 | − | 0.175321i | 0.0145346 | − | 0.00647120i | ||||
\(735\) | 11.5878 | − | 0.0187121i | 0.427421 | − | 0.000690207i | ||||
\(736\) | 4.15285 | + | 1.84897i | 0.153076 | + | 0.0681538i | ||||
\(737\) | 11.7329 | + | 8.52446i | 0.432187 | + | 0.314002i | ||||
\(738\) | −2.00028 | − | 3.36601i | −0.0736313 | − | 0.123905i | ||||
\(739\) | 29.1586 | − | 21.1850i | 1.07262 | − | 0.779302i | 0.0962360 | − | 0.995359i | \(-0.469320\pi\) |
0.976381 | + | 0.216057i | \(0.0693196\pi\) | |||||||
\(740\) | −2.15067 | + | 4.77029i | −0.0790602 | + | 0.175359i | ||||
\(741\) | −3.79643 | − | 17.3239i | −0.139465 | − | 0.636410i | ||||
\(742\) | 0.481139 | + | 0.102269i | 0.0176632 | + | 0.00375443i | ||||
\(743\) | 21.5435 | − | 37.3144i | 0.790353 | − | 1.36893i | −0.135395 | − | 0.990792i | \(-0.543230\pi\) |
0.925748 | − | 0.378140i | \(-0.123436\pi\) | |||||||
\(744\) | 1.13162 | − | 2.58534i | 0.0414873 | − | 0.0947831i | ||||
\(745\) | −28.8678 | + | 16.4872i | −1.05764 | + | 0.604045i | ||||
\(746\) | −0.482272 | + | 1.48428i | −0.0176572 | + | 0.0543434i | ||||
\(747\) | 0.404789 | + | 0.0807286i | 0.0148104 | + | 0.00295371i | ||||
\(748\) | 43.9366 | − | 31.9218i | 1.60648 | − | 1.16718i | ||||
\(749\) | −21.8042 | − | 37.7659i | −0.796707 | − | 1.37994i | ||||
\(750\) | −3.75045 | + | 2.68074i | −0.136947 | + | 0.0978867i | ||||
\(751\) | −6.79013 | + | 11.7609i | −0.247775 | + | 0.429160i | −0.962908 | − | 0.269829i | \(-0.913033\pi\) |
0.715133 | + | 0.698989i | \(0.246366\pi\) | |||||||
\(752\) | 2.35599 | + | 22.4158i | 0.0859142 | + | 0.817419i | ||||
\(753\) | 38.4800 | + | 21.8947i | 1.40229 | + | 0.797887i | ||||
\(754\) | 3.93913 | − | 0.837288i | 0.143455 | − | 0.0304922i | ||||
\(755\) | 0.136111 | − | 29.0875i | 0.00495357 | − | 1.05860i | ||||
\(756\) | 30.5379 | + | 9.28866i | 1.11065 | + | 0.337825i | ||||
\(757\) | −38.0734 | −1.38380 | −0.691901 | − | 0.721993i | \(-0.743226\pi\) | ||||
−0.691901 | + | 0.721993i | \(0.743226\pi\) | |||||||
\(758\) | 2.96316 | − | 3.29092i | 0.107627 | − | 0.119532i | ||||
\(759\) | −8.22581 | + | 7.50084i | −0.298578 | + | 0.272263i | ||||
\(760\) | 3.31341 | − | 0.332586i | 0.120190 | − | 0.0120642i | ||||
\(761\) | 4.27495 | + | 40.6734i | 0.154967 | + | 1.47441i | 0.745018 | + | 0.667044i | \(0.232441\pi\) |
−0.590051 | + | 0.807366i | \(0.700892\pi\) | |||||||
\(762\) | −6.64025 | − | 2.11143i | −0.240551 | − | 0.0764892i | ||||
\(763\) | −4.77483 | + | 45.4295i | −0.172860 | + | 1.64466i | ||||
\(764\) | −5.89956 | + | 4.28628i | −0.213439 | + | 0.155072i | ||||
\(765\) | 45.7443 | − | 15.2642i | 1.65389 | − | 0.551879i | ||||
\(766\) | −3.18316 | − | 2.31270i | −0.115012 | − | 0.0835614i | ||||
\(767\) | −1.07944 | + | 1.19885i | −0.0389765 | + | 0.0432878i | ||||
\(768\) | 15.0884 | + | 13.4146i | 0.544455 | + | 0.484059i | ||||
\(769\) | 37.9648 | + | 8.06966i | 1.36904 | + | 0.290999i | 0.833038 | − | 0.553215i | \(-0.186599\pi\) |
0.536006 | + | 0.844214i | \(0.319933\pi\) | |||||||
\(770\) | 4.88157 | − | 4.35420i | 0.175920 | − | 0.156914i | ||||
\(771\) | −19.4942 | + | 11.4192i | −0.702068 | + | 0.411252i | ||||
\(772\) | 31.8286 | − | 6.76537i | 1.14554 | − | 0.243491i | ||||
\(773\) | 38.3733 | − | 27.8798i | 1.38019 | − | 1.00277i | 0.383329 | − | 0.923612i | \(-0.374778\pi\) |
0.996862 | − | 0.0791554i | \(-0.0252223\pi\) | |||||||
\(774\) | −6.83508 | + | 5.09866i | −0.245682 | + | 0.183267i | ||||
\(775\) | 2.60442 | + | 8.27840i | 0.0935534 | + | 0.297369i | ||||
\(776\) | −3.48963 | − | 6.04422i | −0.125270 | − | 0.216975i | ||||
\(777\) | 3.84159 | − | 5.35809i | 0.137816 | − | 0.192220i | ||||
\(778\) | 0.633274 | + | 0.703322i | 0.0227040 | + | 0.0252153i | ||||
\(779\) | −5.81980 | − | 6.46354i | −0.208516 | − | 0.231580i | ||||
\(780\) | −5.15585 | − | 48.3042i | −0.184609 | − | 1.72957i | ||||
\(781\) | −0.343207 | + | 0.381170i | −0.0122809 | + | 0.0136393i | ||||
\(782\) | −2.82941 | −0.101179 | ||||||||
\(783\) | −3.08252 | − | 13.2653i | −0.110160 | − | 0.474064i | ||||
\(784\) | −8.86686 | − | 6.44215i | −0.316674 | − | 0.230077i | ||||
\(785\) | 35.7240 | − | 20.4030i | 1.27504 | − | 0.728213i | ||||
\(786\) | −2.77416 | − | 6.12678i | −0.0989509 | − | 0.218535i | ||||
\(787\) | 9.06338 | − | 4.03528i | 0.323075 | − | 0.143842i | −0.238790 | − | 0.971071i | \(-0.576751\pi\) |
0.561865 | + | 0.827229i | \(0.310084\pi\) | |||||||
\(788\) | 20.1523 | − | 8.97240i | 0.717898 | − | 0.319629i | ||||
\(789\) | 24.9105 | − | 34.7441i | 0.886837 | − | 1.23692i | ||||
\(790\) | 1.12681 | + | 1.02417i | 0.0400900 | + | 0.0364383i | ||||
\(791\) | −9.97397 | − | 7.24651i | −0.354634 | − | 0.257656i | ||||
\(792\) | 9.94475 | − | 4.57854i | 0.353371 | − | 0.162691i | ||||
\(793\) | 1.97440 | 0.0701128 | ||||||||
\(794\) | −2.97521 | + | 3.30431i | −0.105586 | + | 0.117265i | ||||
\(795\) | −2.47545 | + | 0.530354i | −0.0877953 | + | 0.0188097i | ||||
\(796\) | −6.83069 | − | 7.58625i | −0.242107 | − | 0.268887i | ||||
\(797\) | 26.3912 | + | 29.3104i | 0.934826 | + | 1.03823i | 0.999188 | + | 0.0403024i | \(0.0128321\pi\) |
−0.0643619 | + | 0.997927i | \(0.520501\pi\) | |||||||
\(798\) | −2.05771 | − | 0.203188i | −0.0728420 | − | 0.00719276i | ||||
\(799\) | −22.1160 | − | 38.3060i | −0.782408 | − | 1.35517i | ||||
\(800\) | 13.7472 | + | 0.128658i | 0.486036 | + | 0.00454876i | ||||
\(801\) | 37.8912 | + | 16.3019i | 1.33882 | + | 0.575998i | ||||
\(802\) | −2.80465 | + | 2.03770i | −0.0990355 | + | 0.0719535i | ||||
\(803\) | 7.32260 | − | 1.55647i | 0.258409 | − | 0.0549265i | ||||
\(804\) | −0.0790349 | − | 12.5568i | −0.00278735 | − | 0.442843i | ||||
\(805\) | 11.6275 | − | 1.16712i | 0.409816 | − | 0.0411355i | ||||
\(806\) | 2.60864 | + | 0.554484i | 0.0918855 | + | 0.0195309i | ||||
\(807\) | −0.868944 | + | 4.21845i | −0.0305883 | + | 0.148496i | ||||
\(808\) | 5.19062 | − | 5.76477i | 0.182606 | − | 0.202804i | ||||
\(809\) | 9.94398 | + | 7.22472i | 0.349612 | + | 0.254008i | 0.748706 | − | 0.662902i | \(-0.230675\pi\) |
−0.399094 | + | 0.916910i | \(0.630675\pi\) | |||||||
\(810\) | 4.75336 | − | 0.598332i | 0.167016 | − | 0.0210232i | ||||
\(811\) | −35.0096 | + | 25.4360i | −1.22935 | + | 0.893177i | −0.996842 | − | 0.0794163i | \(-0.974694\pi\) |
−0.232512 | + | 0.972594i | \(0.574694\pi\) | |||||||
\(812\) | −1.68291 | + | 16.0119i | −0.0590587 | + | 0.561906i | ||||
\(813\) | −28.1347 | + | 25.6551i | −0.986726 | + | 0.899762i | ||||
\(814\) | −0.116489 | − | 1.10831i | −0.00408292 | − | 0.0388464i | ||||
\(815\) | 6.37149 | + | 14.4927i | 0.223184 | + | 0.507659i | ||||
\(816\) | −43.4669 | − | 13.8214i | −1.52165 | − | 0.483845i | ||||
\(817\) | −12.6745 | + | 14.0765i | −0.443425 | + | 0.492474i | ||||
\(818\) | 1.36809 | 0.0478342 | ||||||||
\(819\) | −5.63110 | + | 60.9472i | −0.196766 | + | 2.12967i | ||||
\(820\) | −13.9129 | − | 19.3391i | −0.485860 | − | 0.675352i | ||||
\(821\) | 3.24959 | − | 0.690722i | 0.113412 | − | 0.0241064i | −0.150856 | − | 0.988556i | \(-0.548203\pi\) |
0.264268 | + | 0.964449i | \(0.414870\pi\) | |||||||
\(822\) | 2.02506 | − | 1.18622i | 0.0706319 | − | 0.0413743i | ||||
\(823\) | 1.44219 | + | 13.7215i | 0.0502715 | + | 0.478301i | 0.990475 | + | 0.137689i | \(0.0439676\pi\) |
−0.940204 | + | 0.340612i | \(0.889366\pi\) | |||||||
\(824\) | −5.15234 | + | 8.92412i | −0.179490 | + | 0.310887i | ||||
\(825\) | −13.7876 | + | 30.7138i | −0.480023 | + | 1.06932i | ||||
\(826\) | 0.0940413 | + | 0.162884i | 0.00327212 | + | 0.00566747i | ||||
\(827\) | −11.8606 | + | 8.61719i | −0.412432 | + | 0.299649i | −0.774586 | − | 0.632469i | \(-0.782042\pi\) |
0.362154 | + | 0.932118i | \(0.382042\pi\) | |||||||
\(828\) | 9.45259 | + | 1.88517i | 0.328500 | + | 0.0655141i | ||||
\(829\) | 7.55408 | − | 23.2491i | 0.262364 | − | 0.807474i | −0.729925 | − | 0.683528i | \(-0.760445\pi\) |
0.992289 | − | 0.123946i | \(-0.0395551\pi\) | |||||||
\(830\) | −0.0728022 | − | 0.00799642i | −0.00252700 | − | 0.000277560i | ||||
\(831\) | 8.01350 | + | 10.8849i | 0.277985 | + | 0.377593i | ||||
\(832\) | −21.5311 | + | 37.2929i | −0.746455 | + | 1.29290i | ||||
\(833\) | 21.0385 | + | 4.47186i | 0.728939 | + | 0.154941i | ||||
\(834\) | −2.20307 | + | 2.00890i | −0.0762860 | + | 0.0695626i | ||||
\(835\) | 5.96694 | + | 5.42343i | 0.206494 | + | 0.187685i | ||||
\(836\) | 9.69593 | − | 7.04451i | 0.335341 | − | 0.243639i | ||||
\(837\) | 1.70823 | − | 8.85562i | 0.0590450 | − | 0.306095i | ||||
\(838\) | −2.85701 | − | 2.07574i | −0.0986939 | − | 0.0717053i | ||||
\(839\) | 8.39033 | + | 3.73562i | 0.289666 | + | 0.128968i | 0.546426 | − | 0.837508i | \(-0.315988\pi\) |
−0.256759 | + | 0.966475i | \(0.582655\pi\) | |||||||
\(840\) | −11.2454 | − | 2.37130i | −0.388002 | − | 0.0818177i | ||||
\(841\) | −20.2174 | + | 9.00137i | −0.697152 | + | 0.310392i | ||||
\(842\) | −2.76417 | − | 0.587543i | −0.0952597 | − | 0.0202481i | ||||
\(843\) | −22.0471 | + | 7.31728i | −0.759344 | + | 0.252021i | ||||
\(844\) | −19.8671 | + | 22.0646i | −0.683852 | + | 0.759495i | ||||
\(845\) | 61.0384 | − | 19.5173i | 2.09978 | − | 0.671415i | ||||
\(846\) | −1.41041 | − | 4.16180i | −0.0484910 | − | 0.143086i | ||||
\(847\) | 4.01711 | − | 12.3634i | 0.138029 | − | 0.424811i | ||||
\(848\) | 2.18747 | + | 0.973925i | 0.0751181 | + | 0.0334447i | ||||
\(849\) | 0.704972 | + | 0.626770i | 0.0241946 | + | 0.0215107i | ||||
\(850\) | −7.84926 | + | 3.40706i | −0.269228 | + | 0.116861i | ||||
\(851\) | 0.995445 | − | 1.72416i | 0.0341234 | − | 0.0591035i | ||||
\(852\) | 0.441954 | + | 0.0436406i | 0.0151411 | + | 0.00149510i | ||||
\(853\) | 17.3167 | − | 3.68078i | 0.592913 | − | 0.126028i | 0.0983238 | − | 0.995154i | \(-0.468652\pi\) |
0.494589 | + | 0.869127i | \(0.335319\pi\) | |||||||
\(854\) | 0.0711337 | − | 0.218927i | 0.00243415 | − | 0.00749153i | ||||
\(855\) | 10.0948 | − | 3.36851i | 0.345236 | − | 0.115201i | ||||
\(856\) | 4.00200 | + | 12.3169i | 0.136785 | + | 0.420982i | ||||
\(857\) | −22.6850 | − | 39.2915i | −0.774904 | − | 1.34217i | −0.934849 | − | 0.355047i | \(-0.884465\pi\) |
0.159945 | − | 0.987126i | \(-0.448868\pi\) | |||||||
\(858\) | 6.13373 | + | 8.33157i | 0.209402 | + | 0.284435i | ||||
\(859\) | −26.6886 | + | 11.8825i | −0.910602 | + | 0.405426i | −0.807923 | − | 0.589288i | \(-0.799408\pi\) |
−0.102679 | + | 0.994714i | \(0.532742\pi\) | |||||||
\(860\) | −38.7194 | + | 34.5364i | −1.32032 | + | 1.17768i | ||||
\(861\) | 12.3813 | + | 27.3444i | 0.421954 | + | 0.931893i | ||||
\(862\) | −0.0529310 | + | 0.503605i | −0.00180284 | + | 0.0171528i | ||||
\(863\) | −44.0416 | − | 31.9981i | −1.49919 | − | 1.08923i | −0.970702 | − | 0.240287i | \(-0.922758\pi\) |
−0.528490 | − | 0.848939i | \(-0.677242\pi\) | |||||||
\(864\) | −12.5057 | − | 6.90866i | −0.425452 | − | 0.235037i | ||||
\(865\) | 24.7569 | + | 34.4124i | 0.841759 | + | 1.17006i | ||||
\(866\) | −0.386917 | + | 3.68127i | −0.0131480 | + | 0.125095i | ||||
\(867\) | 59.6952 | − | 6.65436i | 2.02736 | − | 0.225994i | ||||
\(868\) | −5.33103 | + | 9.23362i | −0.180947 | + | 0.313409i | ||||
\(869\) | 10.8772 | + | 2.31201i | 0.368982 | + | 0.0784296i | ||||
\(870\) | 0.750453 | + | 2.29703i | 0.0254427 | + | 0.0778766i | ||||
\(871\) | 23.5525 | − | 5.00624i | 0.798046 | − | 0.169630i | ||||
\(872\) | 4.19209 | − | 12.9019i | 0.141962 | − | 0.436914i | ||||
\(873\) | −15.1317 | − | 16.3859i | −0.512130 | − | 0.554578i | ||||
\(874\) | −0.624393 | −0.0211204 | ||||||||
\(875\) | 30.8513 | − | 17.2392i | 1.04297 | − | 0.582791i | ||||
\(876\) | −4.84416 | − | 4.30680i | −0.163669 | − | 0.145513i | ||||
\(877\) | −2.85940 | − | 27.2054i | −0.0965550 | − | 0.918660i | −0.930372 | − | 0.366618i | \(-0.880516\pi\) |
0.833816 | − | 0.552042i | \(-0.186151\pi\) | |||||||
\(878\) | −3.14137 | − | 3.48884i | −0.106016 | − | 0.117743i | ||||
\(879\) | −31.5356 | + | 18.4727i | −1.06367 | + | 0.623070i | ||||
\(880\) | 27.6509 | − | 15.7922i | 0.932110 | − | 0.532354i | ||||
\(881\) | −17.3071 | − | 53.2658i | −0.583091 | − | 1.79457i | −0.606803 | − | 0.794852i | \(-0.707548\pi\) |
0.0237119 | − | 0.999719i | \(-0.492452\pi\) | |||||||
\(882\) | 1.96284 | + | 0.844471i | 0.0660924 | + | 0.0284348i | ||||
\(883\) | −1.49760 | − | 4.60915i | −0.0503984 | − | 0.155110i | 0.922690 | − | 0.385543i | \(-0.125986\pi\) |
−0.973088 | + | 0.230433i | \(0.925986\pi\) | |||||||
\(884\) | 9.42515 | − | 89.6744i | 0.317002 | − | 3.01607i | ||||
\(885\) | −0.784059 | − | 0.567720i | −0.0263558 | − | 0.0190837i | ||||
\(886\) | 0.940988 | + | 8.95290i | 0.0316131 | + | 0.300779i | ||||
\(887\) | 14.0804 | − | 6.26899i | 0.472773 | − | 0.210492i | −0.156498 | − | 0.987678i | \(-0.550020\pi\) |
0.629271 | + | 0.777186i | \(0.283354\pi\) | |||||||
\(888\) | −1.44677 | + | 1.31926i | −0.0485505 | + | 0.0442716i | ||||
\(889\) | 48.7986 | + | 21.7265i | 1.63665 | + | 0.728684i | ||||
\(890\) | −6.95034 | − | 2.29432i | −0.232976 | − | 0.0769056i | ||||
\(891\) | 27.7787 | − | 21.2711i | 0.930620 | − | 0.712608i | ||||
\(892\) | 1.43318 | + | 4.41088i | 0.0479865 | + | 0.147687i | ||||
\(893\) | −4.88056 | − | 8.45337i | −0.163322 | − | 0.282881i | ||||
\(894\) | −6.09253 | + | 0.679147i | −0.203765 | + | 0.0227141i | ||||
\(895\) | −9.30748 | + | 8.30196i | −0.311115 | + | 0.277504i | ||||
\(896\) | 14.9907 | + | 16.6489i | 0.500805 | + | 0.556201i | ||||
\(897\) | 0.116332 | + | 18.4824i | 0.00388421 | + | 0.617109i | ||||
\(898\) | −1.26356 | − | 0.562574i | −0.0421656 | − | 0.0187733i | ||||
\(899\) | 4.54911 | 0.151721 | ||||||||
\(900\) | 28.4932 | − | 6.15266i | 0.949773 | − | 0.205089i | ||||
\(901\) | −4.69905 | −0.156548 | ||||||||
\(902\) | 4.63516 | + | 2.06370i | 0.154334 | + | 0.0687138i | ||||
\(903\) | 56.4065 | − | 33.0414i | 1.87709 | − | 1.09955i | ||||
\(904\) | 2.44989 | + | 2.72087i | 0.0814820 | + | 0.0904949i | ||||
\(905\) | −8.03245 | + | 36.9389i | −0.267008 | + | 1.22789i | ||||
\(906\) | 2.15078 | − | 4.91373i | 0.0714548 | − | 0.163248i | ||||
\(907\) | 9.54540 | + | 16.5331i | 0.316950 | + | 0.548973i | 0.979850 | − | 0.199735i | \(-0.0640080\pi\) |
−0.662900 | + | 0.748708i | \(0.730675\pi\) | |||||||
\(908\) | −2.51464 | − | 7.73925i | −0.0834511 | − | 0.256836i | ||||
\(909\) | 12.1239 | − | 21.6233i | 0.402124 | − | 0.717199i | ||||
\(910\) | 0.0508194 | − | 10.8604i | 0.00168465 | − | 0.360018i | ||||
\(911\) | 45.2104 | + | 20.1290i | 1.49789 | + | 0.666903i | 0.981849 | − | 0.189662i | \(-0.0607393\pi\) |
0.516039 | + | 0.856565i | \(0.327406\pi\) | |||||||
\(912\) | −9.59227 | − | 3.05010i | −0.317632 | − | 0.100999i | ||||
\(913\) | −0.488624 | + | 0.217549i | −0.0161711 | + | 0.00719984i | ||||
\(914\) | −0.306029 | − | 2.91167i | −0.0101225 | − | 0.0963095i | ||||
\(915\) | 0.125743 | + | 1.17806i | 0.00415692 | + | 0.0389454i | ||||
\(916\) | −3.32440 | + | 31.6296i | −0.109841 | + | 1.04507i | ||||
\(917\) | 15.9327 | + | 49.0358i | 0.526144 | + | 1.61931i | ||||
\(918\) | 8.85976 | + | 0.762372i | 0.292416 | + | 0.0251620i | ||||
\(919\) | 5.17126 | + | 15.9155i | 0.170584 | + | 0.525004i | 0.999404 | − | 0.0345111i | \(-0.0109874\pi\) |
−0.828820 | + | 0.559515i | \(0.810987\pi\) | |||||||
\(920\) | −3.44972 | − | 0.378909i | −0.113734 | − | 0.0124923i | ||||
\(921\) | −0.706248 | − | 0.401847i | −0.0232717 | − | 0.0132413i | ||||
\(922\) | −1.81682 | − | 2.01778i | −0.0598338 | − | 0.0664522i | ||||
\(923\) | 0.0890153 | + | 0.846924i | 0.00292997 | + | 0.0278768i | ||||
\(924\) | −39.2562 | + | 13.0289i | −1.29143 | + | 0.428618i | ||||
\(925\) | 0.685369 | − | 5.98180i | 0.0225348 | − | 0.196680i | ||||
\(926\) | 2.03030 | 0.0667199 | ||||||||
\(927\) | −9.78122 | + | 31.4450i | −0.321258 | + | 1.03279i | ||||
\(928\) | 2.22690 | − | 6.85370i | 0.0731016 | − | 0.224984i | ||||
\(929\) | 2.10950 | − | 0.448388i | 0.0692105 | − | 0.0147111i | −0.173176 | − | 0.984891i | \(-0.555403\pi\) |
0.242387 | + | 0.970180i | \(0.422070\pi\) | |||||||
\(930\) | −0.164707 | + | 1.59181i | −0.00540096 | + | 0.0521974i | ||||
\(931\) | 4.64277 | + | 0.986850i | 0.152160 | + | 0.0323427i | ||||
\(932\) | 1.53492 | − | 2.65856i | 0.0502779 | − | 0.0870839i | ||||
\(933\) | −17.5352 | + | 40.0614i | −0.574076 | + | 1.31155i | ||||
\(934\) | −0.368069 | + | 3.50194i | −0.0120436 | + | 0.114587i | ||||
\(935\) | −36.9667 | + | 50.3828i | −1.20894 | + | 1.64769i | ||||
\(936\) | 5.39896 | − | 17.3568i | 0.176471 | − | 0.567323i | ||||
\(937\) | −20.6023 | − | 14.9684i | −0.673048 | − | 0.488998i | 0.197996 | − | 0.980203i | \(-0.436557\pi\) |
−0.871044 | + | 0.491205i | \(0.836557\pi\) | |||||||
\(938\) | 0.293445 | − | 2.79194i | 0.00958131 | − | 0.0911601i | ||||
\(939\) | 3.45269 | − | 4.81568i | 0.112674 | − | 0.157154i | ||||
\(940\) | −10.7605 | − | 24.4761i | −0.350969 | − | 0.798321i | ||||
\(941\) | −23.7260 | + | 10.5635i | −0.773447 | + | 0.344361i | −0.755219 | − | 0.655473i | \(-0.772469\pi\) |
−0.0182285 | + | 0.999834i | \(0.505803\pi\) | |||||||
\(942\) | 7.53951 | − | 0.840446i | 0.245651 | − | 0.0273832i | ||||
\(943\) | 4.53213 | + | 7.84988i | 0.147586 | + | 0.255627i | ||||
\(944\) | 0.282929 | + | 0.870765i | 0.00920854 | + | 0.0283410i | ||||
\(945\) | −36.7239 | + | 0.521626i | −1.19463 | + | 0.0169685i | ||||
\(946\) | 3.41460 | − | 10.5091i | 0.111018 | − | 0.341679i | ||||
\(947\) | −36.1299 | + | 7.67964i | −1.17406 | + | 0.249555i | −0.753338 | − | 0.657634i | \(-0.771557\pi\) |
−0.420725 | + | 0.907188i | \(0.638224\pi\) | |||||||
\(948\) | −3.97146 | − | 8.77106i | −0.128987 | − | 0.284871i | ||||
\(949\) | 6.21464 | − | 10.7641i | 0.201736 | − | 0.349416i | ||||
\(950\) | −1.73217 | + | 0.751870i | −0.0561992 | + | 0.0243939i | ||||
\(951\) | 44.8651 | − | 14.8904i | 1.45485 | − | 0.482854i | ||||
\(952\) | −19.4877 | − | 8.67647i | −0.631599 | − | 0.281206i | ||||
\(953\) | −9.21306 | + | 28.3549i | −0.298440 | + | 0.918505i | 0.683604 | + | 0.729853i | \(0.260412\pi\) |
−0.982044 | + | 0.188652i | \(0.939588\pi\) | |||||||
\(954\) | −0.457818 | − | 0.0913046i | −0.0148224 | − | 0.00295609i | ||||
\(955\) | 4.96367 | − | 6.76511i | 0.160621 | − | 0.218914i | ||||
\(956\) | 4.39988 | − | 4.88657i | 0.142302 | − | 0.158043i | ||||
\(957\) | 13.1888 | + | 11.7257i | 0.426332 | + | 0.379040i | ||||
\(958\) | −8.96935 | − | 1.90649i | −0.289786 | − | 0.0615960i | ||||
\(959\) | −16.4363 | + | 7.31791i | −0.530756 | + | 0.236308i | ||||
\(960\) | −23.6227 | − | 10.4718i | −0.762420 | − | 0.337977i | ||||
\(961\) | −25.5678 | − | 11.3835i | −0.824767 | − | 0.367210i | ||||
\(962\) | −1.49689 | − | 1.08756i | −0.0482618 | − | 0.0350643i | ||||
\(963\) | 21.1431 | + | 35.5790i | 0.681328 | + | 1.14652i | ||||
\(964\) | −28.7137 | + | 20.8617i | −0.924806 | + | 0.671911i | ||||
\(965\) | −32.5124 | + | 18.5688i | −1.04661 | + | 0.597750i | ||||
\(966\) | 2.05358 | + | 0.652986i | 0.0660727 | + | 0.0210095i | ||||
\(967\) | 23.1383 | + | 4.91820i | 0.744078 | + | 0.158159i | 0.564325 | − | 0.825553i | \(-0.309137\pi\) |
0.179754 | + | 0.983712i | \(0.442470\pi\) | |||||||
\(968\) | −1.93030 | + | 3.34338i | −0.0620423 | + | 0.107460i | ||||
\(969\) | 19.6314 | − | 2.18836i | 0.630652 | − | 0.0703002i | ||||
\(970\) | 2.92865 | + | 2.66188i | 0.0940331 | + | 0.0854679i | ||||
\(971\) | 6.29152 | − | 19.3633i | 0.201904 | − | 0.621398i | −0.797922 | − | 0.602761i | \(-0.794067\pi\) |
0.999826 | − | 0.0186371i | \(-0.00593273\pi\) | |||||||
\(972\) | −29.0911 | − | 8.45002i | −0.933097 | − | 0.271034i | ||||
\(973\) | 18.4913 | − | 13.4347i | 0.592802 | − | 0.430696i | ||||
\(974\) | 2.58432 | + | 4.47617i | 0.0828069 | + | 0.143426i | ||||
\(975\) | 22.5785 | + | 51.1333i | 0.723091 | + | 1.63758i | ||||
\(976\) | 0.560285 | − | 0.970442i | 0.0179343 | − | 0.0310631i | ||||
\(977\) | −5.96896 | − | 56.7909i | −0.190964 | − | 1.81690i | −0.500194 | − | 0.865914i | \(-0.666738\pi\) |
0.309230 | − | 0.950987i | \(-0.399929\pi\) | |||||||
\(978\) | 0.0183745 | + | 2.91928i | 0.000587553 | + | 0.0933482i | ||||
\(979\) | −52.2837 | + | 11.1132i | −1.67099 | + | 0.355181i | ||||
\(980\) | 12.3460 | + | 4.07542i | 0.394378 | + | 0.130185i | ||||
\(981\) | 3.98853 | − | 43.1692i | 0.127344 | − | 1.37829i | ||||
\(982\) | 5.71658 | 0.182423 | ||||||||
\(983\) | 26.5534 | − | 29.4905i | 0.846921 | − | 0.940601i | −0.151937 | − | 0.988390i | \(-0.548551\pi\) |
0.998857 | + | 0.0477896i | \(0.0152177\pi\) | |||||||
\(984\) | −1.90824 | − | 8.70771i | −0.0608325 | − | 0.277592i | ||||
\(985\) | −18.9421 | + | 16.8958i | −0.603547 | + | 0.538344i | ||||
\(986\) | 0.468849 | + | 4.46080i | 0.0149312 | + | 0.142061i | ||||
\(987\) | 7.21126 | + | 32.9065i | 0.229537 | + | 1.04743i | ||||
\(988\) | 2.07994 | − | 19.7893i | 0.0661718 | − | 0.629582i | ||||
\(989\) | 15.9703 | − | 11.6031i | 0.507827 | − | 0.368958i | ||||
\(990\) | −4.58055 | + | 4.19041i | −0.145579 | + | 0.133180i | ||||
\(991\) | −30.6573 | − | 22.2738i | −0.973860 | − | 0.707551i | −0.0175320 | − | 0.999846i | \(-0.505581\pi\) |
−0.956328 | + | 0.292296i | \(0.905581\pi\) | |||||||
\(992\) | 3.19333 | − | 3.54655i | 0.101388 | − | 0.112603i | ||||
\(993\) | 21.5464 | − | 7.15109i | 0.683754 | − | 0.226933i | ||||
\(994\) | 0.0971166 | + | 0.0206428i | 0.00308035 | + | 0.000654749i | ||||
\(995\) | 10.1448 | + | 5.92057i | 0.321612 | + | 0.187695i | ||||
\(996\) | 0.402514 | + | 0.229026i | 0.0127541 | + | 0.00725695i | ||||
\(997\) | −48.4198 | + | 10.2920i | −1.53347 | + | 0.325949i | −0.895835 | − | 0.444388i | \(-0.853421\pi\) |
−0.637637 | + | 0.770337i | \(0.720088\pi\) | |||||||
\(998\) | 3.24243 | − | 2.35576i | 0.102637 | − | 0.0745703i | ||||
\(999\) | −3.58162 | + | 5.13067i | −0.113317 | + | 0.162327i |
(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 | 225.2.q.a.211.13 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.361.16 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.586.13 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.61.16 | yes | 224 | |
25.16 | even | 5 | inner | 225.2.q.a.166.16 | yes | 224 | |
75.41 | odd | 10 | 675.2.r.a.91.13 | 224 | |||
225.16 | even | 15 | inner | 225.2.q.a.16.13 | ✓ | 224 | |
225.191 | odd | 30 | 675.2.r.a.316.16 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.13 | ✓ | 224 | 225.16 | even | 15 | inner | |
225.2.q.a.61.16 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.166.16 | yes | 224 | 25.16 | even | 5 | inner | |
225.2.q.a.211.13 | yes | 224 | 1.1 | even | 1 | trivial | |
675.2.r.a.91.13 | 224 | 75.41 | odd | 10 | |||
675.2.r.a.316.16 | 224 | 225.191 | odd | 30 | |||
675.2.r.a.361.16 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.586.13 | 224 | 9.2 | odd | 6 |