Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 197.2 | ||
Character | \(\chi\) | \(=\) | 322.197 |
Dual form | 322.2.i.d.85.2 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654861 | − | 0.755750i | −0.463056 | − | 0.534396i | ||||
\(3\) | 0.124065 | + | 0.0797318i | 0.0716290 | + | 0.0460332i | 0.575965 | − | 0.817474i | \(-0.304626\pi\) |
−0.504336 | + | 0.863507i | \(0.668263\pi\) | |||||||
\(4\) | −0.142315 | + | 0.989821i | −0.0711574 | + | 0.494911i | ||||
\(5\) | 1.52064 | − | 3.32974i | 0.680052 | − | 1.48911i | −0.182535 | − | 0.983199i | \(-0.558430\pi\) |
0.862588 | − | 0.505908i | \(-0.168842\pi\) | |||||||
\(6\) | −0.0209881 | − | 0.145975i | −0.00856835 | − | 0.0595942i | ||||
\(7\) | 0.959493 | + | 0.281733i | 0.362654 | + | 0.106485i | ||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | −1.23721 | − | 2.70911i | −0.412403 | − | 0.903037i | ||||
\(10\) | −3.51226 | + | 1.03129i | −1.11068 | + | 0.326124i | ||||
\(11\) | −3.04210 | + | 3.51077i | −0.917227 | + | 1.05854i | 0.0808612 | + | 0.996725i | \(0.474233\pi\) |
−0.998088 | + | 0.0618107i | \(0.980313\pi\) | |||||||
\(12\) | −0.0965766 | + | 0.111455i | −0.0278793 | + | 0.0321744i | ||||
\(13\) | 4.26794 | − | 1.25318i | 1.18371 | − | 0.347570i | 0.370110 | − | 0.928988i | \(-0.379320\pi\) |
0.813605 | + | 0.581418i | \(0.197502\pi\) | |||||||
\(14\) | −0.415415 | − | 0.909632i | −0.111024 | − | 0.243109i | ||||
\(15\) | 0.454145 | − | 0.291862i | 0.117260 | − | 0.0753583i | ||||
\(16\) | −0.959493 | − | 0.281733i | −0.239873 | − | 0.0704331i | ||||
\(17\) | −0.656964 | − | 4.56929i | −0.159337 | − | 1.10822i | −0.899858 | − | 0.436182i | \(-0.856330\pi\) |
0.740521 | − | 0.672033i | \(-0.234579\pi\) | |||||||
\(18\) | −1.23721 | + | 2.70911i | −0.291613 | + | 0.638544i | ||||
\(19\) | −0.587506 | + | 4.08619i | −0.134783 | + | 0.937437i | 0.804417 | + | 0.594065i | \(0.202478\pi\) |
−0.939200 | + | 0.343371i | \(0.888431\pi\) | |||||||
\(20\) | 3.07944 | + | 1.97904i | 0.688584 | + | 0.442526i | ||||
\(21\) | 0.0965766 | + | 0.111455i | 0.0210747 | + | 0.0243215i | ||||
\(22\) | 4.64541 | 0.990405 | ||||||||
\(23\) | −0.962626 | − | 4.69823i | −0.200721 | − | 0.979648i | ||||
\(24\) | 0.147477 | 0.0301035 | ||||||||
\(25\) | −5.50054 | − | 6.34796i | −1.10011 | − | 1.26959i | ||||
\(26\) | −3.74200 | − | 2.40484i | −0.733867 | − | 0.471628i | ||||
\(27\) | 0.125472 | − | 0.872678i | 0.0241471 | − | 0.167947i | ||||
\(28\) | −0.415415 | + | 0.909632i | −0.0785061 | + | 0.171904i | ||||
\(29\) | −0.882438 | − | 6.13749i | −0.163865 | − | 1.13970i | −0.891262 | − | 0.453488i | \(-0.850180\pi\) |
0.727398 | − | 0.686216i | \(-0.240730\pi\) | |||||||
\(30\) | −0.517976 | − | 0.152092i | −0.0945691 | − | 0.0277680i | ||||
\(31\) | 5.96897 | − | 3.83602i | 1.07206 | − | 0.688970i | 0.119349 | − | 0.992852i | \(-0.461919\pi\) |
0.952710 | + | 0.303882i | \(0.0982829\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | −0.657338 | + | 0.193012i | −0.114428 | + | 0.0335991i | ||||
\(34\) | −3.02302 | + | 3.48875i | −0.518443 | + | 0.598315i | ||||
\(35\) | 2.39714 | − | 2.76645i | 0.405191 | − | 0.467616i | ||||
\(36\) | 2.85761 | − | 0.839070i | 0.476268 | − | 0.139845i | ||||
\(37\) | 4.28921 | + | 9.39205i | 0.705141 | + | 1.54404i | 0.833624 | + | 0.552332i | \(0.186262\pi\) |
−0.128483 | + | 0.991712i | \(0.541011\pi\) | |||||||
\(38\) | 3.47287 | − | 2.23188i | 0.563374 | − | 0.362059i | ||||
\(39\) | 0.629422 | + | 0.184815i | 0.100788 | + | 0.0295941i | ||||
\(40\) | −0.520949 | − | 3.62328i | −0.0823693 | − | 0.572891i | ||||
\(41\) | −3.95555 | + | 8.66144i | −0.617753 | + | 1.35269i | 0.299390 | + | 0.954131i | \(0.403217\pi\) |
−0.917143 | + | 0.398559i | \(0.869510\pi\) | |||||||
\(42\) | 0.0209881 | − | 0.145975i | 0.00323853 | − | 0.0225245i | ||||
\(43\) | −5.20080 | − | 3.34235i | −0.793114 | − | 0.509704i | 0.0802478 | − | 0.996775i | \(-0.474429\pi\) |
−0.873362 | + | 0.487071i | \(0.838065\pi\) | |||||||
\(44\) | −3.04210 | − | 3.51077i | −0.458613 | − | 0.529268i | ||||
\(45\) | −10.9020 | −1.62518 | ||||||||
\(46\) | −2.92030 | + | 3.80419i | −0.430575 | + | 0.560897i | ||||
\(47\) | −3.87470 | −0.565183 | −0.282592 | − | 0.959240i | \(-0.591194\pi\) | ||||
−0.282592 | + | 0.959240i | \(0.591194\pi\) | |||||||
\(48\) | −0.0965766 | − | 0.111455i | −0.0139396 | − | 0.0160872i | ||||
\(49\) | 0.841254 | + | 0.540641i | 0.120179 | + | 0.0772344i | ||||
\(50\) | −1.19538 | + | 8.31406i | −0.169052 | + | 1.17579i | ||||
\(51\) | 0.282811 | − | 0.619270i | 0.0396015 | − | 0.0867152i | ||||
\(52\) | 0.633034 | + | 4.40285i | 0.0877861 | + | 0.610565i | ||||
\(53\) | 12.7011 | + | 3.72937i | 1.74463 | + | 0.512268i | 0.989652 | − | 0.143488i | \(-0.0458318\pi\) |
0.754973 | + | 0.655756i | \(0.227650\pi\) | |||||||
\(54\) | −0.741693 | + | 0.476657i | −0.100932 | + | 0.0648648i | ||||
\(55\) | 7.06401 | + | 15.4680i | 0.952511 | + | 2.08571i | ||||
\(56\) | 0.959493 | − | 0.281733i | 0.128218 | − | 0.0376481i | ||||
\(57\) | −0.398688 | + | 0.460111i | −0.0528076 | + | 0.0609432i | ||||
\(58\) | −4.06053 | + | 4.68611i | −0.533174 | + | 0.615316i | ||||
\(59\) | 0.348995 | − | 0.102474i | 0.0454353 | − | 0.0133410i | −0.258936 | − | 0.965895i | \(-0.583372\pi\) |
0.304371 | + | 0.952553i | \(0.401554\pi\) | |||||||
\(60\) | 0.224259 | + | 0.491059i | 0.0289517 | + | 0.0633955i | ||||
\(61\) | 3.22536 | − | 2.07281i | 0.412965 | − | 0.265396i | −0.317621 | − | 0.948218i | \(-0.602884\pi\) |
0.730585 | + | 0.682822i | \(0.239247\pi\) | |||||||
\(62\) | −6.80792 | − | 1.99899i | −0.864606 | − | 0.253871i | ||||
\(63\) | −0.423849 | − | 2.94794i | −0.0534000 | − | 0.371405i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 2.31725 | − | 16.1168i | 0.287419 | − | 1.99904i | ||||
\(66\) | 0.576333 | + | 0.370387i | 0.0709417 | + | 0.0455915i | ||||
\(67\) | 6.52258 | + | 7.52746i | 0.796860 | + | 0.919625i | 0.998205 | − | 0.0598953i | \(-0.0190767\pi\) |
−0.201345 | + | 0.979520i | \(0.564531\pi\) | |||||||
\(68\) | 4.61628 | 0.559806 | ||||||||
\(69\) | 0.255170 | − | 0.659638i | 0.0307189 | − | 0.0794111i | ||||
\(70\) | −3.66054 | −0.437518 | ||||||||
\(71\) | 6.69179 | + | 7.72274i | 0.794170 | + | 0.916521i | 0.998046 | − | 0.0624759i | \(-0.0198997\pi\) |
−0.203877 | + | 0.978997i | \(0.565354\pi\) | |||||||
\(72\) | −2.50546 | − | 1.61016i | −0.295272 | − | 0.189760i | ||||
\(73\) | −0.945748 | + | 6.57782i | −0.110691 | + | 0.769876i | 0.856559 | + | 0.516050i | \(0.172598\pi\) |
−0.967250 | + | 0.253826i | \(0.918311\pi\) | |||||||
\(74\) | 4.28921 | − | 9.39205i | 0.498610 | − | 1.09180i | ||||
\(75\) | −0.176291 | − | 1.22613i | −0.0203563 | − | 0.141581i | ||||
\(76\) | −3.96099 | − | 1.16305i | −0.454357 | − | 0.133411i | ||||
\(77\) | −3.90797 | + | 2.51150i | −0.445354 | + | 0.286212i | ||||
\(78\) | −0.272510 | − | 0.596713i | −0.0308557 | − | 0.0675645i | ||||
\(79\) | 1.40017 | − | 0.411127i | 0.157532 | − | 0.0462555i | −0.202016 | − | 0.979382i | \(-0.564749\pi\) |
0.359547 | + | 0.933127i | \(0.382931\pi\) | |||||||
\(80\) | −2.39714 | + | 2.76645i | −0.268009 | + | 0.309299i | ||||
\(81\) | −5.76587 | + | 6.65417i | −0.640652 | + | 0.739352i | ||||
\(82\) | 9.13621 | − | 2.68263i | 1.00893 | − | 0.296247i | ||||
\(83\) | −0.634981 | − | 1.39041i | −0.0696982 | − | 0.152618i | 0.871576 | − | 0.490260i | \(-0.163098\pi\) |
−0.941275 | + | 0.337642i | \(0.890371\pi\) | |||||||
\(84\) | −0.124065 | + | 0.0797318i | −0.0135366 | + | 0.00869946i | ||||
\(85\) | −16.2136 | − | 4.76073i | −1.75861 | − | 0.516374i | ||||
\(86\) | 0.879819 | + | 6.11928i | 0.0948733 | + | 0.659859i | ||||
\(87\) | 0.379874 | − | 0.831807i | 0.0407267 | − | 0.0891791i | ||||
\(88\) | −0.661111 | + | 4.59813i | −0.0704747 | + | 0.490162i | ||||
\(89\) | 7.67089 | + | 4.92978i | 0.813113 | + | 0.522556i | 0.879871 | − | 0.475213i | \(-0.157629\pi\) |
−0.0667578 | + | 0.997769i | \(0.521265\pi\) | |||||||
\(90\) | 7.13930 | + | 8.23919i | 0.752548 | + | 0.868487i | ||||
\(91\) | 4.44813 | 0.466290 | ||||||||
\(92\) | 4.78740 | − | 0.284200i | 0.499121 | − | 0.0296299i | ||||
\(93\) | 1.04639 | 0.108506 | ||||||||
\(94\) | 2.53739 | + | 2.92830i | 0.261712 | + | 0.302032i | ||||
\(95\) | 12.7126 | + | 8.16988i | 1.30428 | + | 0.838212i | ||||
\(96\) | −0.0209881 | + | 0.145975i | −0.00214209 | + | 0.0148986i | ||||
\(97\) | −6.69969 | + | 14.6703i | −0.680250 | + | 1.48954i | 0.182127 | + | 0.983275i | \(0.441702\pi\) |
−0.862378 | + | 0.506265i | \(0.831026\pi\) | |||||||
\(98\) | −0.142315 | − | 0.989821i | −0.0143760 | − | 0.0999871i | ||||
\(99\) | 13.2748 | + | 3.89783i | 1.33416 | + | 0.391746i | ||||
\(100\) | 7.06616 | − | 4.54114i | 0.706616 | − | 0.454114i | ||||
\(101\) | 1.77957 | + | 3.89672i | 0.177074 | + | 0.387738i | 0.977269 | − | 0.212002i | \(-0.0679982\pi\) |
−0.800195 | + | 0.599739i | \(0.795271\pi\) | |||||||
\(102\) | −0.653215 | + | 0.191801i | −0.0646780 | + | 0.0189912i | ||||
\(103\) | −3.90003 | + | 4.50088i | −0.384282 | + | 0.443485i | −0.914628 | − | 0.404296i | \(-0.867516\pi\) |
0.530346 | + | 0.847781i | \(0.322062\pi\) | |||||||
\(104\) | 2.91290 | − | 3.36167i | 0.285634 | − | 0.329639i | ||||
\(105\) | 0.517976 | − | 0.152092i | 0.0505493 | − | 0.0148426i | ||||
\(106\) | −5.49896 | − | 12.0410i | −0.534106 | − | 1.16953i | ||||
\(107\) | 5.79661 | − | 3.72526i | 0.560379 | − | 0.360134i | −0.229583 | − | 0.973289i | \(-0.573736\pi\) |
0.789963 | + | 0.613155i | \(0.210100\pi\) | |||||||
\(108\) | 0.845939 | + | 0.248390i | 0.0814005 | + | 0.0239013i | ||||
\(109\) | −1.87867 | − | 13.0664i | −0.179944 | − | 1.25153i | −0.856889 | − | 0.515501i | \(-0.827606\pi\) |
0.676945 | − | 0.736033i | \(-0.263303\pi\) | |||||||
\(110\) | 7.06401 | − | 15.4680i | 0.673527 | − | 1.47482i | ||||
\(111\) | −0.216704 | + | 1.50721i | −0.0205687 | + | 0.143058i | ||||
\(112\) | −0.841254 | − | 0.540641i | −0.0794910 | − | 0.0510858i | ||||
\(113\) | 1.42009 | + | 1.63887i | 0.133591 | + | 0.154172i | 0.818603 | − | 0.574359i | \(-0.194749\pi\) |
−0.685013 | + | 0.728531i | \(0.740203\pi\) | |||||||
\(114\) | 0.608814 | 0.0570207 | ||||||||
\(115\) | −17.1077 | − | 3.93903i | −1.59530 | − | 0.367317i | ||||
\(116\) | 6.20061 | 0.575712 | ||||||||
\(117\) | −8.67535 | − | 10.0119i | −0.802037 | − | 0.925600i | ||||
\(118\) | −0.305988 | − | 0.196647i | −0.0281685 | − | 0.0181028i | ||||
\(119\) | 0.656964 | − | 4.56929i | 0.0602238 | − | 0.418866i | ||||
\(120\) | 0.224259 | − | 0.491059i | 0.0204720 | − | 0.0448274i | ||||
\(121\) | −1.50567 | − | 10.4721i | −0.136879 | − | 0.952014i | ||||
\(122\) | −3.67868 | − | 1.08016i | −0.333052 | − | 0.0977930i | ||||
\(123\) | −1.18134 | + | 0.759200i | −0.106518 | + | 0.0684547i | ||||
\(124\) | 2.94751 | + | 6.45414i | 0.264694 | + | 0.579599i | ||||
\(125\) | −11.9401 | + | 3.50594i | −1.06796 | + | 0.313581i | ||||
\(126\) | −1.95034 | + | 2.25081i | −0.173750 | + | 0.200518i | ||||
\(127\) | −5.07221 | + | 5.85364i | −0.450086 | + | 0.519427i | −0.934766 | − | 0.355265i | \(-0.884391\pi\) |
0.484680 | + | 0.874692i | \(0.338936\pi\) | |||||||
\(128\) | −0.959493 | + | 0.281733i | −0.0848080 | + | 0.0249019i | ||||
\(129\) | −0.378746 | − | 0.829338i | −0.0333467 | − | 0.0730192i | ||||
\(130\) | −13.6977 | + | 8.80301i | −1.20137 | + | 0.772075i | ||||
\(131\) | −12.2209 | − | 3.58838i | −1.06775 | − | 0.313518i | −0.299779 | − | 0.954009i | \(-0.596913\pi\) |
−0.767966 | + | 0.640490i | \(0.778731\pi\) | |||||||
\(132\) | −0.0974983 | − | 0.678116i | −0.00848614 | − | 0.0590224i | ||||
\(133\) | −1.71492 | + | 3.75515i | −0.148702 | + | 0.325613i | ||||
\(134\) | 1.41749 | − | 9.85887i | 0.122453 | − | 0.851677i | ||||
\(135\) | −2.71500 | − | 1.74482i | −0.233670 | − | 0.150170i | ||||
\(136\) | −3.02302 | − | 3.48875i | −0.259222 | − | 0.299158i | ||||
\(137\) | 12.8816 | 1.10055 | 0.550275 | − | 0.834983i | \(-0.314523\pi\) | ||||
0.550275 | + | 0.834983i | \(0.314523\pi\) | |||||||
\(138\) | −0.665622 | + | 0.239127i | −0.0566615 | + | 0.0203558i | ||||
\(139\) | 6.64280 | 0.563435 | 0.281717 | − | 0.959497i | \(-0.409096\pi\) | ||||
0.281717 | + | 0.959497i | \(0.409096\pi\) | |||||||
\(140\) | 2.39714 | + | 2.76645i | 0.202596 | + | 0.233808i | ||||
\(141\) | −0.480715 | − | 0.308937i | −0.0404835 | − | 0.0260172i | ||||
\(142\) | 1.45427 | − | 10.1146i | 0.122039 | − | 0.848802i | ||||
\(143\) | −8.58387 | + | 18.7961i | −0.717820 | + | 1.57181i | ||||
\(144\) | 0.423849 | + | 2.94794i | 0.0353208 | + | 0.245661i | ||||
\(145\) | −21.7782 | − | 6.39464i | −1.80858 | − | 0.531046i | ||||
\(146\) | 5.59052 | − | 3.59281i | 0.462675 | − | 0.297343i | ||||
\(147\) | 0.0612640 | + | 0.134149i | 0.00505297 | + | 0.0110645i | ||||
\(148\) | −9.90687 | + | 2.90892i | −0.814340 | + | 0.239112i | ||||
\(149\) | 5.27170 | − | 6.08387i | 0.431875 | − | 0.498410i | −0.497543 | − | 0.867439i | \(-0.665764\pi\) |
0.929418 | + | 0.369029i | \(0.120310\pi\) | |||||||
\(150\) | −0.811200 | + | 0.936175i | −0.0662342 | + | 0.0764384i | ||||
\(151\) | −2.85556 | + | 0.838469i | −0.232382 | + | 0.0682336i | −0.395850 | − | 0.918315i | \(-0.629550\pi\) |
0.163468 | + | 0.986549i | \(0.447732\pi\) | |||||||
\(152\) | 1.71492 | + | 3.75515i | 0.139098 | + | 0.304583i | ||||
\(153\) | −11.5659 | + | 7.43296i | −0.935048 | + | 0.600919i | ||||
\(154\) | 4.45724 | + | 1.30876i | 0.359175 | + | 0.105463i | ||||
\(155\) | −3.69631 | − | 25.7084i | −0.296894 | − | 2.06495i | ||||
\(156\) | −0.272510 | + | 0.596713i | −0.0218182 | + | 0.0477753i | ||||
\(157\) | 0.174089 | − | 1.21081i | 0.0138938 | − | 0.0966335i | −0.981695 | − | 0.190462i | \(-0.939001\pi\) |
0.995588 | + | 0.0938284i | \(0.0299105\pi\) | |||||||
\(158\) | −1.22763 | − | 0.788948i | −0.0976647 | − | 0.0627653i | ||||
\(159\) | 1.27841 | + | 1.47536i | 0.101384 | + | 0.117004i | ||||
\(160\) | 3.66054 | 0.289391 | ||||||||
\(161\) | 0.400011 | − | 4.77912i | 0.0315253 | − | 0.376647i | ||||
\(162\) | 8.80473 | 0.691765 | ||||||||
\(163\) | −11.5514 | − | 13.3311i | −0.904779 | − | 1.04417i | −0.998818 | − | 0.0486017i | \(-0.984524\pi\) |
0.0940397 | − | 0.995568i | \(-0.470022\pi\) | |||||||
\(164\) | −8.01035 | − | 5.14794i | −0.625503 | − | 0.401986i | ||||
\(165\) | −0.356897 | + | 2.48227i | −0.0277844 | + | 0.193244i | ||||
\(166\) | −0.634981 | + | 1.39041i | −0.0492841 | + | 0.107917i | ||||
\(167\) | 2.32900 | + | 16.1986i | 0.180223 | + | 1.25348i | 0.856233 | + | 0.516589i | \(0.172799\pi\) |
−0.676010 | + | 0.736893i | \(0.736292\pi\) | |||||||
\(168\) | 0.141503 | + | 0.0415489i | 0.0109172 | + | 0.00320557i | ||||
\(169\) | 5.70859 | − | 3.66869i | 0.439123 | − | 0.282207i | ||||
\(170\) | 7.01971 | + | 15.3710i | 0.538387 | + | 1.17890i | ||||
\(171\) | 11.7968 | − | 3.46386i | 0.902125 | − | 0.264888i | ||||
\(172\) | 4.04848 | − | 4.67220i | 0.308694 | − | 0.356252i | ||||
\(173\) | −2.91888 | + | 3.36856i | −0.221918 | + | 0.256107i | −0.855781 | − | 0.517338i | \(-0.826923\pi\) |
0.633863 | + | 0.773445i | \(0.281468\pi\) | |||||||
\(174\) | −0.877402 | + | 0.257629i | −0.0665157 | + | 0.0195308i | ||||
\(175\) | −3.48930 | − | 7.64051i | −0.263766 | − | 0.577568i | ||||
\(176\) | 3.90797 | − | 2.51150i | 0.294574 | − | 0.189311i | ||||
\(177\) | 0.0514686 | + | 0.0151126i | 0.00386862 | + | 0.00113593i | ||||
\(178\) | −1.29768 | − | 9.02559i | −0.0972656 | − | 0.676497i | ||||
\(179\) | 4.11695 | − | 9.01487i | 0.307716 | − | 0.673803i | −0.691085 | − | 0.722774i | \(-0.742867\pi\) |
0.998800 | + | 0.0489708i | \(0.0155941\pi\) | |||||||
\(180\) | 1.55152 | − | 10.7910i | 0.115643 | − | 0.804317i | ||||
\(181\) | −13.2454 | − | 8.51233i | −0.984526 | − | 0.632716i | −0.0538454 | − | 0.998549i | \(-0.517148\pi\) |
−0.930681 | + | 0.365833i | \(0.880784\pi\) | |||||||
\(182\) | −2.91290 | − | 3.36167i | −0.215919 | − | 0.249183i | ||||
\(183\) | 0.565423 | 0.0417973 | ||||||||
\(184\) | −3.34987 | − | 3.43197i | −0.246955 | − | 0.253008i | ||||
\(185\) | 37.7955 | 2.77878 | ||||||||
\(186\) | −0.685243 | − | 0.790812i | −0.0502444 | − | 0.0579852i | ||||
\(187\) | 18.0403 | + | 11.5938i | 1.31923 | + | 0.847820i | ||||
\(188\) | 0.551428 | − | 3.83526i | 0.0402170 | − | 0.279715i | ||||
\(189\) | 0.366251 | − | 0.801979i | 0.0266409 | − | 0.0583354i | ||||
\(190\) | −2.15059 | − | 14.9577i | −0.156020 | − | 1.08514i | ||||
\(191\) | −10.3118 | − | 3.02783i | −0.746138 | − | 0.219086i | −0.113505 | − | 0.993537i | \(-0.536208\pi\) |
−0.632633 | + | 0.774452i | \(0.718026\pi\) | |||||||
\(192\) | 0.124065 | − | 0.0797318i | 0.00895363 | − | 0.00575415i | ||||
\(193\) | −3.54351 | − | 7.75920i | −0.255067 | − | 0.558520i | 0.738171 | − | 0.674614i | \(-0.235690\pi\) |
−0.993238 | + | 0.116094i | \(0.962963\pi\) | |||||||
\(194\) | 15.4744 | − | 4.54370i | 1.11100 | − | 0.326219i | ||||
\(195\) | 1.57251 | − | 1.81478i | 0.112610 | − | 0.129959i | ||||
\(196\) | −0.654861 | + | 0.755750i | −0.0467758 | + | 0.0539821i | ||||
\(197\) | −4.46557 | + | 1.31121i | −0.318159 | + | 0.0934199i | −0.436913 | − | 0.899504i | \(-0.643928\pi\) |
0.118754 | + | 0.992924i | \(0.462110\pi\) | |||||||
\(198\) | −5.74735 | − | 12.5849i | −0.408446 | − | 0.894373i | ||||
\(199\) | 23.4674 | − | 15.0816i | 1.66356 | − | 1.06910i | 0.750865 | − | 0.660455i | \(-0.229637\pi\) |
0.912692 | − | 0.408648i | \(-0.134000\pi\) | |||||||
\(200\) | −8.05932 | − | 2.36643i | −0.569880 | − | 0.167332i | ||||
\(201\) | 0.209047 | + | 1.45395i | 0.0147450 | + | 0.102554i | ||||
\(202\) | 1.77957 | − | 3.89672i | 0.125210 | − | 0.274172i | ||||
\(203\) | 0.882438 | − | 6.13749i | 0.0619350 | − | 0.430768i | ||||
\(204\) | 0.572719 | + | 0.368064i | 0.0400983 | + | 0.0257696i | ||||
\(205\) | 22.8254 | + | 26.3419i | 1.59420 | + | 1.83980i | ||||
\(206\) | 5.95552 | 0.414940 | ||||||||
\(207\) | −11.5371 | + | 8.42056i | −0.801881 | + | 0.585269i | ||||
\(208\) | −4.44813 | −0.308422 | ||||||||
\(209\) | −12.5584 | − | 14.4932i | −0.868684 | − | 1.00251i | ||||
\(210\) | −0.454145 | − | 0.291862i | −0.0313390 | − | 0.0201404i | ||||
\(211\) | −1.04690 | + | 7.28137i | −0.0720718 | + | 0.501270i | 0.921528 | + | 0.388312i | \(0.126942\pi\) |
−0.993600 | + | 0.112958i | \(0.963967\pi\) | |||||||
\(212\) | −5.49896 | + | 12.0410i | −0.377670 | + | 0.826982i | ||||
\(213\) | 0.214470 | + | 1.49167i | 0.0146952 | + | 0.102208i | ||||
\(214\) | −6.61133 | − | 1.94126i | −0.451941 | − | 0.132702i | ||||
\(215\) | −19.0377 | + | 12.2348i | −1.29836 | + | 0.834407i | ||||
\(216\) | −0.366251 | − | 0.801979i | −0.0249202 | − | 0.0545677i | ||||
\(217\) | 6.80792 | − | 1.99899i | 0.462152 | − | 0.135700i | ||||
\(218\) | −8.64467 | + | 9.97648i | −0.585491 | + | 0.675692i | ||||
\(219\) | −0.641796 | + | 0.740672i | −0.0433686 | + | 0.0500500i | ||||
\(220\) | −16.3159 | + | 4.79078i | −1.10002 | + | 0.322994i | ||||
\(221\) | −8.53004 | − | 18.6782i | −0.573792 | − | 1.25643i | ||||
\(222\) | 1.28099 | − | 0.823240i | 0.0859742 | − | 0.0552522i | ||||
\(223\) | 17.8682 | + | 5.24658i | 1.19654 | + | 0.351337i | 0.818530 | − | 0.574463i | \(-0.194789\pi\) |
0.378013 | + | 0.925800i | \(0.376607\pi\) | |||||||
\(224\) | 0.142315 | + | 0.989821i | 0.00950881 | + | 0.0661352i | ||||
\(225\) | −10.3920 | + | 22.7553i | −0.692801 | + | 1.51702i | ||||
\(226\) | 0.308615 | − | 2.14646i | 0.0205288 | − | 0.142781i | ||||
\(227\) | 15.4744 | + | 9.94478i | 1.02707 | + | 0.660058i | 0.941756 | − | 0.336296i | \(-0.109174\pi\) |
0.0853139 | + | 0.996354i | \(0.472811\pi\) | |||||||
\(228\) | −0.398688 | − | 0.460111i | −0.0264038 | − | 0.0304716i | ||||
\(229\) | 4.26364 | 0.281750 | 0.140875 | − | 0.990027i | \(-0.455009\pi\) | ||||
0.140875 | + | 0.990027i | \(0.455009\pi\) | |||||||
\(230\) | 8.22625 | + | 15.5087i | 0.542423 | + | 1.02261i | ||||
\(231\) | −0.685089 | −0.0450755 | ||||||||
\(232\) | −4.06053 | − | 4.68611i | −0.266587 | − | 0.307658i | ||||
\(233\) | −8.11454 | − | 5.21490i | −0.531601 | − | 0.341639i | 0.247145 | − | 0.968978i | \(-0.420508\pi\) |
−0.778746 | + | 0.627339i | \(0.784144\pi\) | |||||||
\(234\) | −1.88533 | + | 13.1128i | −0.123248 | + | 0.857210i | ||||
\(235\) | −5.89204 | + | 12.9018i | −0.384354 | + | 0.841619i | ||||
\(236\) | 0.0517640 | + | 0.360027i | 0.00336955 | + | 0.0234357i | ||||
\(237\) | 0.206492 | + | 0.0606316i | 0.0134131 | + | 0.00393845i | ||||
\(238\) | −3.88346 | + | 2.49575i | −0.251727 | + | 0.161775i | ||||
\(239\) | −9.65876 | − | 21.1497i | −0.624773 | − | 1.36806i | −0.911996 | − | 0.410199i | \(-0.865459\pi\) |
0.287223 | − | 0.957864i | \(-0.407268\pi\) | |||||||
\(240\) | −0.517976 | + | 0.152092i | −0.0334352 | + | 0.00981747i | ||||
\(241\) | −3.90826 | + | 4.51038i | −0.251753 | + | 0.290539i | −0.867533 | − | 0.497379i | \(-0.834296\pi\) |
0.615780 | + | 0.787918i | \(0.288841\pi\) | |||||||
\(242\) | −6.92832 | + | 7.99571i | −0.445369 | + | 0.513984i | ||||
\(243\) | −3.78371 | + | 1.11100i | −0.242725 | + | 0.0712705i | ||||
\(244\) | 1.59270 | + | 3.48752i | 0.101962 | + | 0.223265i | ||||
\(245\) | 3.07944 | − | 1.97904i | 0.196738 | − | 0.126436i | ||||
\(246\) | 1.34738 | + | 0.395626i | 0.0859056 | + | 0.0252242i | ||||
\(247\) | 2.61330 | + | 18.1759i | 0.166280 | + | 1.15650i | ||||
\(248\) | 2.94751 | − | 6.45414i | 0.187167 | − | 0.409838i | ||||
\(249\) | 0.0320813 | − | 0.223130i | 0.00203307 | − | 0.0141403i | ||||
\(250\) | 10.4687 | + | 6.72785i | 0.662101 | + | 0.425507i | ||||
\(251\) | −5.48597 | − | 6.33114i | −0.346271 | − | 0.399618i | 0.555722 | − | 0.831368i | \(-0.312442\pi\) |
−0.901993 | + | 0.431750i | \(0.857896\pi\) | |||||||
\(252\) | 2.97825 | 0.187612 | ||||||||
\(253\) | 19.4228 | + | 10.9129i | 1.22110 | + | 0.686089i | ||||
\(254\) | 7.74548 | 0.485994 | ||||||||
\(255\) | −1.63196 | − | 1.88338i | −0.102197 | − | 0.117942i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 1.06085 | − | 7.37835i | 0.0661738 | − | 0.460249i | −0.929612 | − | 0.368540i | \(-0.879858\pi\) |
0.995786 | − | 0.0917092i | \(-0.0292330\pi\) | |||||||
\(258\) | −0.378746 | + | 0.829338i | −0.0235797 | + | 0.0516324i | ||||
\(259\) | 1.46942 | + | 10.2200i | 0.0913051 | + | 0.635041i | ||||
\(260\) | 15.6230 | + | 4.58732i | 0.968896 | + | 0.284494i | ||||
\(261\) | −15.5354 | + | 9.98399i | −0.961617 | + | 0.617994i | ||||
\(262\) | 5.29107 | + | 11.5858i | 0.326884 | + | 0.715775i | ||||
\(263\) | −21.8595 | + | 6.41853i | −1.34791 | + | 0.395783i | −0.874487 | − | 0.485050i | \(-0.838802\pi\) |
−0.473427 | + | 0.880833i | \(0.656983\pi\) | |||||||
\(264\) | −0.448638 | + | 0.517756i | −0.0276118 | + | 0.0318657i | ||||
\(265\) | 31.7316 | − | 36.6203i | 1.94926 | − | 2.24956i | ||||
\(266\) | 3.96099 | − | 1.16305i | 0.242864 | − | 0.0713112i | ||||
\(267\) | 0.558630 | + | 1.22323i | 0.0341876 | + | 0.0748604i | ||||
\(268\) | −8.37910 | + | 5.38492i | −0.511835 | + | 0.328936i | ||||
\(269\) | −8.89413 | − | 2.61155i | −0.542285 | − | 0.159229i | −0.000892957 | − | 1.00000i | \(-0.500284\pi\) |
−0.541392 | + | 0.840770i | \(0.682102\pi\) | |||||||
\(270\) | 0.459296 | + | 3.19447i | 0.0279518 | + | 0.194409i | ||||
\(271\) | −3.70769 | + | 8.11870i | −0.225226 | + | 0.493176i | −0.988184 | − | 0.153272i | \(-0.951019\pi\) |
0.762958 | + | 0.646448i | \(0.223746\pi\) | |||||||
\(272\) | −0.656964 | + | 4.56929i | −0.0398343 | + | 0.277054i | ||||
\(273\) | 0.551857 | + | 0.354657i | 0.0333999 | + | 0.0214648i | ||||
\(274\) | −8.43567 | − | 9.73528i | −0.509617 | − | 0.588130i | ||||
\(275\) | 39.0194 | 2.35296 | ||||||||
\(276\) | 0.616610 | + | 0.346449i | 0.0371155 | + | 0.0208538i | ||||
\(277\) | −2.38522 | −0.143314 | −0.0716571 | − | 0.997429i | \(-0.522829\pi\) | ||||
−0.0716571 | + | 0.997429i | \(0.522829\pi\) | |||||||
\(278\) | −4.35011 | − | 5.02029i | −0.260902 | − | 0.301097i | ||||
\(279\) | −17.7771 | − | 11.4246i | −1.06429 | − | 0.683975i | ||||
\(280\) | 0.520949 | − | 3.62328i | 0.0311327 | − | 0.216532i | ||||
\(281\) | −4.57680 | + | 10.0218i | −0.273029 | + | 0.597850i | −0.995627 | − | 0.0934183i | \(-0.970221\pi\) |
0.722598 | + | 0.691269i | \(0.242948\pi\) | |||||||
\(282\) | 0.0813226 | + | 0.565611i | 0.00484269 | + | 0.0336817i | ||||
\(283\) | 24.7957 | + | 7.28068i | 1.47395 | + | 0.432792i | 0.917382 | − | 0.398008i | \(-0.130298\pi\) |
0.556571 | + | 0.830800i | \(0.312117\pi\) | |||||||
\(284\) | −8.59648 | + | 5.52462i | −0.510107 | + | 0.327826i | ||||
\(285\) | 0.925789 | + | 2.02720i | 0.0548390 | + | 0.120081i | ||||
\(286\) | 19.8264 | − | 5.82154i | 1.17236 | − | 0.344235i | ||||
\(287\) | −6.23553 | + | 7.19619i | −0.368072 | + | 0.424777i | ||||
\(288\) | 1.95034 | − | 2.25081i | 0.114925 | − | 0.132630i | ||||
\(289\) | −4.13541 | + | 1.21427i | −0.243259 | + | 0.0714274i | ||||
\(290\) | 9.42891 | + | 20.6464i | 0.553685 | + | 1.21240i | ||||
\(291\) | −2.00089 | + | 1.28589i | −0.117294 | + | 0.0753803i | ||||
\(292\) | −6.37627 | − | 1.87224i | −0.373143 | − | 0.109565i | ||||
\(293\) | 1.30654 | + | 9.08717i | 0.0763287 | + | 0.530878i | 0.991731 | + | 0.128337i | \(0.0409639\pi\) |
−0.915402 | + | 0.402541i | \(0.868127\pi\) | |||||||
\(294\) | 0.0612640 | − | 0.134149i | 0.00357299 | − | 0.00782375i | ||||
\(295\) | 0.189484 | − | 1.31789i | 0.0110322 | − | 0.0767307i | ||||
\(296\) | 8.68603 | + | 5.58218i | 0.504865 | + | 0.324457i | ||||
\(297\) | 2.68207 | + | 3.09527i | 0.155629 | + | 0.179606i | ||||
\(298\) | −8.05011 | −0.466330 | ||||||||
\(299\) | −9.99617 | − | 18.8454i | −0.578093 | − | 1.08986i | ||||
\(300\) | 1.23874 | 0.0715185 | ||||||||
\(301\) | −4.04848 | − | 4.67220i | −0.233351 | − | 0.269301i | ||||
\(302\) | 2.50367 | + | 1.60901i | 0.144070 | + | 0.0925881i | ||||
\(303\) | −0.0899096 | + | 0.625335i | −0.00516517 | + | 0.0359246i | ||||
\(304\) | 1.71492 | − | 3.75515i | 0.0983574 | − | 0.215373i | ||||
\(305\) | −1.99731 | − | 13.8916i | −0.114366 | − | 0.795432i | ||||
\(306\) | 13.1915 | + | 3.87338i | 0.754109 | + | 0.221426i | ||||
\(307\) | −17.0448 | + | 10.9541i | −0.972800 | + | 0.625181i | −0.927512 | − | 0.373793i | \(-0.878057\pi\) |
−0.0452882 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(308\) | −1.92977 | − | 4.22561i | −0.109959 | − | 0.240777i | ||||
\(309\) | −0.842722 | + | 0.247445i | −0.0479408 | + | 0.0140767i | ||||
\(310\) | −17.0085 | + | 19.6289i | −0.966019 | + | 1.11485i | ||||
\(311\) | −9.16444 | + | 10.5763i | −0.519668 | + | 0.599729i | −0.953548 | − | 0.301242i | \(-0.902599\pi\) |
0.433880 | + | 0.900971i | \(0.357144\pi\) | |||||||
\(312\) | 0.629422 | − | 0.184815i | 0.0356340 | − | 0.0104631i | ||||
\(313\) | 8.81053 | + | 19.2924i | 0.498000 | + | 1.09047i | 0.977114 | + | 0.212716i | \(0.0682309\pi\) |
−0.479114 | + | 0.877753i | \(0.659042\pi\) | |||||||
\(314\) | −1.02908 | + | 0.661347i | −0.0580742 | + | 0.0373220i | ||||
\(315\) | −10.4604 | − | 3.07145i | −0.589377 | − | 0.173057i | ||||
\(316\) | 0.207678 | + | 1.44443i | 0.0116828 | + | 0.0812555i | ||||
\(317\) | 8.51103 | − | 18.6366i | 0.478027 | − | 1.04673i | −0.504974 | − | 0.863135i | \(-0.668498\pi\) |
0.983001 | − | 0.183599i | \(-0.0587749\pi\) | |||||||
\(318\) | 0.277825 | − | 1.93232i | 0.0155797 | − | 0.108359i | ||||
\(319\) | 24.2318 | + | 15.5728i | 1.35672 | + | 0.871910i | ||||
\(320\) | −2.39714 | − | 2.76645i | −0.134004 | − | 0.154649i | ||||
\(321\) | 1.01618 | 0.0567176 | ||||||||
\(322\) | −3.87377 | + | 2.82735i | −0.215877 | + | 0.157562i | ||||
\(323\) | 19.0570 | 1.06036 | ||||||||
\(324\) | −5.76587 | − | 6.65417i | −0.320326 | − | 0.369676i | ||||
\(325\) | −31.4311 | − | 20.1996i | −1.74349 | − | 1.12047i | ||||
\(326\) | −2.51037 | + | 17.4600i | −0.139036 | + | 0.967019i | ||||
\(327\) | 0.808732 | − | 1.77088i | 0.0447230 | − | 0.0979296i | ||||
\(328\) | 1.35511 | + | 9.42500i | 0.0748234 | + | 0.520408i | ||||
\(329\) | −3.71775 | − | 1.09163i | −0.204966 | − | 0.0601835i | ||||
\(330\) | 2.10969 | − | 1.35582i | 0.116135 | − | 0.0746353i | ||||
\(331\) | −2.86456 | − | 6.27251i | −0.157450 | − | 0.344768i | 0.814423 | − | 0.580271i | \(-0.197054\pi\) |
−0.971874 | + | 0.235503i | \(0.924326\pi\) | |||||||
\(332\) | 1.46663 | − | 0.430641i | 0.0804918 | − | 0.0236345i | ||||
\(333\) | 20.1375 | − | 23.2399i | 1.10353 | − | 1.27354i | ||||
\(334\) | 10.7169 | − | 12.3679i | 0.586402 | − | 0.676744i | ||||
\(335\) | 34.9830 | − | 10.2719i | 1.91133 | − | 0.561216i | ||||
\(336\) | −0.0612640 | − | 0.134149i | −0.00334222 | − | 0.00731845i | ||||
\(337\) | −4.99791 | + | 3.21196i | −0.272253 | + | 0.174967i | −0.669643 | − | 0.742684i | \(-0.733553\pi\) |
0.397389 | + | 0.917650i | \(0.369916\pi\) | |||||||
\(338\) | −6.51094 | − | 1.91179i | −0.354149 | − | 0.103987i | ||||
\(339\) | 0.0455135 | + | 0.316553i | 0.00247195 | + | 0.0171928i | ||||
\(340\) | 7.01971 | − | 15.3710i | 0.380697 | − | 0.833610i | ||||
\(341\) | −4.69080 | + | 32.6252i | −0.254021 | + | 1.76675i | ||||
\(342\) | −10.3431 | − | 6.64710i | −0.559290 | − | 0.359434i | ||||
\(343\) | 0.654861 | + | 0.755750i | 0.0353592 | + | 0.0408066i | ||||
\(344\) | −6.18220 | −0.333322 | ||||||||
\(345\) | −1.80840 | − | 1.85273i | −0.0973612 | − | 0.0997474i | ||||
\(346\) | 4.45725 | 0.239623 | ||||||||
\(347\) | −6.36071 | − | 7.34065i | −0.341461 | − | 0.394067i | 0.558883 | − | 0.829247i | \(-0.311230\pi\) |
−0.900343 | + | 0.435180i | \(0.856685\pi\) | |||||||
\(348\) | 0.769279 | + | 0.494386i | 0.0412377 | + | 0.0265019i | ||||
\(349\) | 1.50019 | − | 10.4340i | 0.0803032 | − | 0.558521i | −0.909459 | − | 0.415794i | \(-0.863504\pi\) |
0.989762 | − | 0.142727i | \(-0.0455871\pi\) | |||||||
\(350\) | −3.48930 | + | 7.64051i | −0.186511 | + | 0.408402i | ||||
\(351\) | −0.558116 | − | 3.88178i | −0.0297900 | − | 0.207194i | ||||
\(352\) | −4.45724 | − | 1.30876i | −0.237572 | − | 0.0697573i | ||||
\(353\) | −11.1544 | + | 7.16852i | −0.593690 | + | 0.381542i | −0.802710 | − | 0.596370i | \(-0.796609\pi\) |
0.209019 | + | 0.977911i | \(0.432973\pi\) | |||||||
\(354\) | −0.0222835 | − | 0.0487940i | −0.00118435 | − | 0.00259337i | ||||
\(355\) | 35.8906 | − | 10.5384i | 1.90487 | − | 0.559322i | ||||
\(356\) | −5.97129 | + | 6.89123i | −0.316478 | + | 0.365235i | ||||
\(357\) | 0.445824 | − | 0.514508i | 0.0235955 | − | 0.0272307i | ||||
\(358\) | −9.50902 | + | 2.79210i | −0.502567 | + | 0.147567i | ||||
\(359\) | −2.49638 | − | 5.46630i | −0.131754 | − | 0.288500i | 0.832245 | − | 0.554409i | \(-0.187055\pi\) |
−0.963998 | + | 0.265908i | \(0.914328\pi\) | |||||||
\(360\) | −9.17135 | + | 5.89407i | −0.483373 | + | 0.310645i | ||||
\(361\) | 1.87857 | + | 0.551599i | 0.0988722 | + | 0.0290315i | ||||
\(362\) | 2.24073 | + | 15.5846i | 0.117770 | + | 0.819110i | ||||
\(363\) | 0.648163 | − | 1.41928i | 0.0340197 | − | 0.0744928i | ||||
\(364\) | −0.633034 | + | 4.40285i | −0.0331800 | + | 0.230772i | ||||
\(365\) | 20.4643 | + | 13.1516i | 1.07115 | + | 0.688387i | ||||
\(366\) | −0.370273 | − | 0.427318i | −0.0193545 | − | 0.0223363i | ||||
\(367\) | −25.2713 | −1.31915 | −0.659576 | − | 0.751638i | \(-0.729264\pi\) | ||||
−0.659576 | + | 0.751638i | \(0.729264\pi\) | |||||||
\(368\) | −0.400011 | + | 4.77912i | −0.0208520 | + | 0.249129i | ||||
\(369\) | 28.3587 | 1.47629 | ||||||||
\(370\) | −24.7508 | − | 28.5639i | −1.28673 | − | 1.48497i | ||||
\(371\) | 11.1359 | + | 7.15661i | 0.578147 | + | 0.371552i | ||||
\(372\) | −0.148917 | + | 1.03574i | −0.00772101 | + | 0.0537008i | ||||
\(373\) | −8.03394 | + | 17.5919i | −0.415981 | + | 0.910872i | 0.579415 | + | 0.815032i | \(0.303281\pi\) |
−0.995397 | + | 0.0958398i | \(0.969446\pi\) | |||||||
\(374\) | −3.05187 | − | 21.2262i | −0.157808 | − | 1.09758i | ||||
\(375\) | −1.76089 | − | 0.517044i | −0.0909320 | − | 0.0267000i | ||||
\(376\) | −3.25961 | + | 2.09482i | −0.168101 | + | 0.108032i | ||||
\(377\) | −11.4576 | − | 25.0886i | −0.590096 | − | 1.29213i | ||||
\(378\) | −0.845939 | + | 0.248390i | −0.0435104 | + | 0.0127758i | ||||
\(379\) | 2.02143 | − | 2.33285i | 0.103834 | − | 0.119831i | −0.701454 | − | 0.712715i | \(-0.747465\pi\) |
0.805288 | + | 0.592884i | \(0.202011\pi\) | |||||||
\(380\) | −9.89592 | + | 11.4205i | −0.507650 | + | 0.585859i | ||||
\(381\) | −1.09601 | + | 0.321816i | −0.0561501 | + | 0.0164871i | ||||
\(382\) | 4.46453 | + | 9.77597i | 0.228425 | + | 0.500182i | ||||
\(383\) | −23.5109 | + | 15.1095i | −1.20135 | + | 0.772061i | −0.979189 | − | 0.202949i | \(-0.934948\pi\) |
−0.222161 | + | 0.975010i | \(0.571311\pi\) | |||||||
\(384\) | −0.141503 | − | 0.0415489i | −0.00722103 | − | 0.00212029i | ||||
\(385\) | 2.42002 | + | 16.8316i | 0.123336 | + | 0.857819i | ||||
\(386\) | −3.54351 | + | 7.75920i | −0.180360 | + | 0.394933i | ||||
\(387\) | −2.62032 | + | 18.2247i | −0.133198 | + | 0.926415i | ||||
\(388\) | −13.5675 | − | 8.71929i | −0.688785 | − | 0.442655i | ||||
\(389\) | 2.26979 | + | 2.61948i | 0.115083 | + | 0.132813i | 0.810368 | − | 0.585921i | \(-0.199267\pi\) |
−0.695285 | + | 0.718734i | \(0.744722\pi\) | |||||||
\(390\) | −2.40129 | −0.121594 | ||||||||
\(391\) | −20.8351 | + | 7.48508i | −1.05368 | + | 0.378537i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −1.23008 | − | 1.41959i | −0.0620493 | − | 0.0716088i | ||||
\(394\) | 3.91528 | + | 2.51620i | 0.197249 | + | 0.126764i | ||||
\(395\) | 0.760212 | − | 5.28739i | 0.0382504 | − | 0.266038i | ||||
\(396\) | −5.74735 | + | 12.5849i | −0.288815 | + | 0.632417i | ||||
\(397\) | −3.72396 | − | 25.9007i | −0.186900 | − | 1.29992i | −0.839975 | − | 0.542625i | \(-0.817431\pi\) |
0.653075 | − | 0.757293i | \(-0.273479\pi\) | |||||||
\(398\) | −26.7657 | − | 7.85913i | −1.34165 | − | 0.393943i | ||||
\(399\) | −0.512167 | + | 0.329150i | −0.0256404 | + | 0.0164781i | ||||
\(400\) | 3.48930 | + | 7.64051i | 0.174465 | + | 0.382025i | ||||
\(401\) | 14.5719 | − | 4.27870i | 0.727687 | − | 0.213668i | 0.103152 | − | 0.994666i | \(-0.467107\pi\) |
0.624534 | + | 0.780997i | \(0.285289\pi\) | |||||||
\(402\) | 0.961927 | − | 1.11012i | 0.0479766 | − | 0.0553679i | ||||
\(403\) | 20.6680 | − | 23.8521i | 1.02955 | − | 1.18816i | ||||
\(404\) | −4.11031 | + | 1.20690i | −0.204496 | + | 0.0600453i | ||||
\(405\) | 13.3889 | + | 29.3175i | 0.665297 | + | 1.45680i | ||||
\(406\) | −5.21628 | + | 3.35230i | −0.258880 | + | 0.166372i | ||||
\(407\) | −46.0215 | − | 13.5131i | −2.28120 | − | 0.669821i | ||||
\(408\) | −0.0968868 | − | 0.673863i | −0.00479661 | − | 0.0333612i | ||||
\(409\) | 5.54904 | − | 12.1507i | 0.274382 | − | 0.600813i | −0.721404 | − | 0.692514i | \(-0.756503\pi\) |
0.995787 | + | 0.0917008i | \(0.0292303\pi\) | |||||||
\(410\) | 4.96044 | − | 34.5006i | 0.244978 | − | 1.70386i | ||||
\(411\) | 1.59816 | + | 1.02707i | 0.0788314 | + | 0.0506619i | ||||
\(412\) | −3.90003 | − | 4.50088i | −0.192141 | − | 0.221742i | ||||
\(413\) | 0.363729 | 0.0178979 | ||||||||
\(414\) | 13.9190 | + | 3.20483i | 0.684081 | + | 0.157509i | ||||
\(415\) | −5.59531 | −0.274663 | ||||||||
\(416\) | 2.91290 | + | 3.36167i | 0.142817 | + | 0.164819i | ||||
\(417\) | 0.824140 | + | 0.529642i | 0.0403583 | + | 0.0259367i | ||||
\(418\) | −2.72920 | + | 18.9820i | −0.133490 | + | 0.928442i | ||||
\(419\) | −6.96117 | + | 15.2428i | −0.340075 | + | 0.744661i | −0.999978 | − | 0.00669012i | \(-0.997870\pi\) |
0.659902 | + | 0.751352i | \(0.270598\pi\) | |||||||
\(420\) | 0.0768278 | + | 0.534349i | 0.00374881 | + | 0.0260736i | ||||
\(421\) | 23.2386 | + | 6.82347i | 1.13258 | + | 0.332556i | 0.793722 | − | 0.608281i | \(-0.208141\pi\) |
0.338859 | + | 0.940837i | \(0.389959\pi\) | |||||||
\(422\) | 6.18847 | − | 3.97709i | 0.301250 | − | 0.193602i | ||||
\(423\) | 4.79382 | + | 10.4970i | 0.233083 | + | 0.510382i | ||||
\(424\) | 12.7011 | − | 3.72937i | 0.616818 | − | 0.181114i | ||||
\(425\) | −25.3920 | + | 29.3039i | −1.23169 | + | 1.42145i | ||||
\(426\) | 0.986882 | − | 1.13892i | 0.0478146 | − | 0.0551810i | ||||
\(427\) | 3.67868 | − | 1.08016i | 0.178024 | − | 0.0522726i | ||||
\(428\) | 2.86239 | + | 6.26777i | 0.138359 | + | 0.302964i | ||||
\(429\) | −2.56360 | + | 1.64753i | −0.123772 | + | 0.0795434i | ||||
\(430\) | 21.7135 | + | 6.37566i | 1.04712 | + | 0.307462i | ||||
\(431\) | −1.45894 | − | 10.1471i | −0.0702745 | − | 0.488770i | −0.994315 | − | 0.106476i | \(-0.966043\pi\) |
0.924041 | − | 0.382294i | \(-0.124866\pi\) | |||||||
\(432\) | −0.366251 | + | 0.801979i | −0.0176213 | + | 0.0385852i | ||||
\(433\) | 2.22012 | − | 15.4413i | 0.106692 | − | 0.742059i | −0.864305 | − | 0.502968i | \(-0.832241\pi\) |
0.970997 | − | 0.239091i | \(-0.0768495\pi\) | |||||||
\(434\) | −5.96897 | − | 3.83602i | −0.286520 | − | 0.184135i | ||||
\(435\) | −2.19205 | − | 2.52976i | −0.105101 | − | 0.121293i | ||||
\(436\) | 13.2008 | 0.632202 | ||||||||
\(437\) | 19.7634 | − | 1.17324i | 0.945412 | − | 0.0561235i | ||||
\(438\) | 0.980050 | 0.0468286 | ||||||||
\(439\) | −23.1900 | − | 26.7627i | −1.10680 | − | 1.27732i | −0.957472 | − | 0.288528i | \(-0.906834\pi\) |
−0.149328 | − | 0.988788i | \(-0.547711\pi\) | |||||||
\(440\) | 14.3053 | + | 9.19344i | 0.681977 | + | 0.438280i | ||||
\(441\) | 0.423849 | − | 2.94794i | 0.0201833 | − | 0.140378i | ||||
\(442\) | −8.53004 | + | 18.6782i | −0.405732 | + | 0.888430i | ||||
\(443\) | −2.52611 | − | 17.5695i | −0.120019 | − | 0.834751i | −0.957531 | − | 0.288331i | \(-0.906899\pi\) |
0.837512 | − | 0.546420i | \(-0.184010\pi\) | |||||||
\(444\) | −1.46103 | − | 0.428997i | −0.0693374 | − | 0.0203593i | ||||
\(445\) | 28.0796 | − | 18.0457i | 1.33110 | − | 0.855447i | ||||
\(446\) | −7.73609 | − | 16.9397i | −0.366314 | − | 0.802116i | ||||
\(447\) | 1.13911 | − | 0.334474i | 0.0538782 | − | 0.0158201i | ||||
\(448\) | 0.654861 | − | 0.755750i | 0.0309393 | − | 0.0357058i | ||||
\(449\) | −25.5715 | + | 29.5110i | −1.20679 | + | 1.39271i | −0.309720 | + | 0.950828i | \(0.600235\pi\) |
−0.897072 | + | 0.441884i | \(0.854310\pi\) | |||||||
\(450\) | 24.0027 | − | 7.04782i | 1.13150 | − | 0.332237i | ||||
\(451\) | −18.3751 | − | 40.2359i | −0.865252 | − | 1.89464i | ||||
\(452\) | −1.82429 | + | 1.17240i | −0.0858074 | + | 0.0551451i | ||||
\(453\) | −0.421128 | − | 0.123654i | −0.0197863 | − | 0.00580979i | ||||
\(454\) | −2.61780 | − | 18.2072i | −0.122859 | − | 0.854506i | ||||
\(455\) | 6.76401 | − | 14.8111i | 0.317102 | − | 0.694356i | ||||
\(456\) | −0.0866433 | + | 0.602617i | −0.00405744 | + | 0.0282201i | ||||
\(457\) | −12.0672 | − | 7.75512i | −0.564480 | − | 0.362769i | 0.227066 | − | 0.973879i | \(-0.427087\pi\) |
−0.791545 | + | 0.611110i | \(0.790723\pi\) | |||||||
\(458\) | −2.79209 | − | 3.22225i | −0.130466 | − | 0.150566i | ||||
\(459\) | −4.06995 | −0.189969 | ||||||||
\(460\) | 6.33362 | − | 16.3730i | 0.295307 | − | 0.763395i | ||||
\(461\) | −16.2594 | −0.757275 | −0.378637 | − | 0.925545i | \(-0.623607\pi\) | ||||
−0.378637 | + | 0.925545i | \(0.623607\pi\) | |||||||
\(462\) | 0.448638 | + | 0.517756i | 0.0208725 | + | 0.0240882i | ||||
\(463\) | −14.5966 | − | 9.38069i | −0.678363 | − | 0.435958i | 0.155568 | − | 0.987825i | \(-0.450279\pi\) |
−0.833932 | + | 0.551867i | \(0.813915\pi\) | |||||||
\(464\) | −0.882438 | + | 6.13749i | −0.0409662 | + | 0.284926i | ||||
\(465\) | 1.59119 | − | 3.48423i | 0.0737898 | − | 0.161577i | ||||
\(466\) | 1.37274 | + | 9.54759i | 0.0635908 | + | 0.442284i | ||||
\(467\) | −16.2498 | − | 4.77138i | −0.751952 | − | 0.220793i | −0.116774 | − | 0.993159i | \(-0.537255\pi\) |
−0.635178 | + | 0.772366i | \(0.719073\pi\) | |||||||
\(468\) | 11.1446 | − | 7.16221i | 0.515160 | − | 0.331073i | ||||
\(469\) | 4.13764 | + | 9.06016i | 0.191058 | + | 0.418360i | ||||
\(470\) | 13.6090 | − | 3.99595i | 0.627735 | − | 0.184320i | ||||
\(471\) | 0.118139 | − | 0.136339i | 0.00544355 | − | 0.00628219i | ||||
\(472\) | 0.238192 | − | 0.274888i | 0.0109637 | − | 0.0126527i | ||||
\(473\) | 27.5555 | − | 8.09104i | 1.26701 | − | 0.372026i | ||||
\(474\) | −0.0894014 | − | 0.195762i | −0.00410634 | − | 0.00899164i | ||||
\(475\) | 29.1706 | − | 18.7468i | 1.33844 | − | 0.860162i | ||||
\(476\) | 4.42928 | + | 1.30055i | 0.203016 | + | 0.0596108i | ||||
\(477\) | −5.61060 | − | 39.0226i | −0.256892 | − | 1.78672i | ||||
\(478\) | −9.65876 | + | 21.1497i | −0.441782 | + | 0.967367i | ||||
\(479\) | 0.416767 | − | 2.89868i | 0.0190426 | − | 0.132444i | −0.978082 | − | 0.208218i | \(-0.933234\pi\) |
0.997125 | + | 0.0757740i | \(0.0241428\pi\) | |||||||
\(480\) | 0.454145 | + | 0.291862i | 0.0207288 | + | 0.0133216i | ||||
\(481\) | 30.0760 | + | 34.7096i | 1.37135 | + | 1.58262i | ||||
\(482\) | 5.96808 | 0.271839 | ||||||||
\(483\) | 0.430675 | − | 0.561029i | 0.0195964 | − | 0.0255277i | ||||
\(484\) | 10.5798 | 0.480902 | ||||||||
\(485\) | 38.6604 | + | 44.6165i | 1.75548 | + | 2.02593i | ||||
\(486\) | 3.31744 | + | 2.13199i | 0.150482 | + | 0.0967089i | ||||
\(487\) | 3.07387 | − | 21.3793i | 0.139291 | − | 0.968787i | −0.793552 | − | 0.608502i | \(-0.791771\pi\) |
0.932843 | − | 0.360284i | \(-0.117320\pi\) | |||||||
\(488\) | 1.59270 | − | 3.48752i | 0.0720980 | − | 0.157873i | ||||
\(489\) | −0.370220 | − | 2.57494i | −0.0167419 | − | 0.116443i | ||||
\(490\) | −3.51226 | − | 1.03129i | −0.158668 | − | 0.0465891i | ||||
\(491\) | −26.5112 | + | 17.0377i | −1.19643 | + | 0.768901i | −0.978335 | − | 0.207026i | \(-0.933622\pi\) |
−0.218098 | + | 0.975927i | \(0.569985\pi\) | |||||||
\(492\) | −0.583350 | − | 1.27736i | −0.0262995 | − | 0.0575878i | ||||
\(493\) | −27.4642 | + | 8.06423i | −1.23693 | + | 0.363195i | ||||
\(494\) | 12.0251 | − | 13.8777i | 0.541034 | − | 0.624386i | ||||
\(495\) | 33.1650 | − | 38.2744i | 1.49065 | − | 1.72031i | ||||
\(496\) | −6.80792 | + | 1.99899i | −0.305685 | + | 0.0897571i | ||||
\(497\) | 4.24498 | + | 9.29521i | 0.190413 | + | 0.416947i | ||||
\(498\) | −0.189639 | + | 0.121874i | −0.00849794 | + | 0.00546130i | ||||
\(499\) | 8.75091 | + | 2.56950i | 0.391744 | + | 0.115027i | 0.471672 | − | 0.881774i | \(-0.343651\pi\) |
−0.0799274 | + | 0.996801i | \(0.525469\pi\) | |||||||
\(500\) | −1.77100 | − | 12.3175i | −0.0792014 | − | 0.550858i | ||||
\(501\) | −1.00259 | + | 2.19537i | −0.0447925 | + | 0.0980820i | ||||
\(502\) | −1.19221 | + | 8.29203i | −0.0532111 | + | 0.370092i | ||||
\(503\) | 13.6545 | + | 8.77519i | 0.608823 | + | 0.391266i | 0.808415 | − | 0.588612i | \(-0.200326\pi\) |
−0.199593 | + | 0.979879i | \(0.563962\pi\) | |||||||
\(504\) | −1.95034 | − | 2.25081i | −0.0868750 | − | 0.100259i | ||||
\(505\) | 15.6812 | 0.697803 | ||||||||
\(506\) | −4.47179 | − | 21.8252i | −0.198795 | − | 0.970248i | ||||
\(507\) | 1.00075 | 0.0444448 | ||||||||
\(508\) | −5.07221 | − | 5.85364i | −0.225043 | − | 0.259713i | ||||
\(509\) | −21.9436 | − | 14.1023i | −0.972634 | − | 0.625074i | −0.0451675 | − | 0.998979i | \(-0.514382\pi\) |
−0.927467 | + | 0.373905i | \(0.878019\pi\) | |||||||
\(510\) | −0.354658 | + | 2.46670i | −0.0157045 | + | 0.109227i | ||||
\(511\) | −2.76062 | + | 6.04493i | −0.122123 | + | 0.267412i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | 3.49221 | + | 1.02541i | 0.154185 | + | 0.0452728i | ||||
\(514\) | −6.27089 | + | 4.03006i | −0.276597 | + | 0.177758i | ||||
\(515\) | 9.05622 | + | 19.8303i | 0.399065 | + | 0.873830i | ||||
\(516\) | 0.874798 | − | 0.256864i | 0.0385108 | − | 0.0113078i | ||||
\(517\) | 11.7872 | − | 13.6032i | 0.518401 | − | 0.598267i | ||||
\(518\) | 6.76151 | − | 7.80320i | 0.297084 | − | 0.342853i | ||||
\(519\) | −0.630712 | + | 0.185194i | −0.0276852 | + | 0.00812911i | ||||
\(520\) | −6.76401 | − | 14.8111i | −0.296622 | − | 0.649511i | ||||
\(521\) | 1.99957 | − | 1.28505i | 0.0876029 | − | 0.0562990i | −0.496106 | − | 0.868262i | \(-0.665237\pi\) |
0.583709 | + | 0.811963i | \(0.301601\pi\) | |||||||
\(522\) | 17.7189 | + | 5.20274i | 0.775536 | + | 0.227718i | ||||
\(523\) | 1.61380 | + | 11.2242i | 0.0705665 | + | 0.490801i | 0.994202 | + | 0.107529i | \(0.0342938\pi\) |
−0.923635 | + | 0.383272i | \(0.874797\pi\) | |||||||
\(524\) | 5.29107 | − | 11.5858i | 0.231142 | − | 0.506130i | ||||
\(525\) | 0.176291 | − | 1.22613i | 0.00769396 | − | 0.0535126i | ||||
\(526\) | 19.1657 | + | 12.3171i | 0.835665 | + | 0.537049i | ||||
\(527\) | −21.4493 | − | 24.7538i | −0.934346 | − | 1.07829i | ||||
\(528\) | 0.685089 | 0.0298147 | ||||||||
\(529\) | −21.1467 | + | 9.04527i | −0.919422 | + | 0.393273i | ||||
\(530\) | −48.4555 | −2.10477 | ||||||||
\(531\) | −0.709395 | − | 0.818686i | −0.0307851 | − | 0.0355279i | ||||
\(532\) | −3.47287 | − | 2.23188i | −0.150568 | − | 0.0967642i | ||||
\(533\) | −6.02770 | + | 41.9236i | −0.261089 | + | 1.81591i | ||||
\(534\) | 0.558630 | − | 1.22323i | 0.0241743 | − | 0.0529343i | ||||
\(535\) | −3.58957 | − | 24.9660i | −0.155191 | − | 1.07938i | ||||
\(536\) | 9.55679 | + | 2.80613i | 0.412791 | + | 0.121206i | ||||
\(537\) | 1.22954 | − | 0.790179i | 0.0530587 | − | 0.0340987i | ||||
\(538\) | 3.85074 | + | 8.43194i | 0.166017 | + | 0.363527i | ||||
\(539\) | −4.45724 | + | 1.30876i | −0.191987 | + | 0.0563724i | ||||
\(540\) | 2.11345 | − | 2.43905i | 0.0909482 | − | 0.104960i | ||||
\(541\) | 2.38150 | − | 2.74840i | 0.102389 | − | 0.118163i | −0.702242 | − | 0.711938i | \(-0.747818\pi\) |
0.804631 | + | 0.593775i | \(0.202363\pi\) | |||||||
\(542\) | 8.56372 | − | 2.51454i | 0.367843 | − | 0.108009i | ||||
\(543\) | −0.964594 | − | 2.11217i | −0.0413947 | − | 0.0906417i | ||||
\(544\) | 3.88346 | − | 2.49575i | 0.166502 | − | 0.107004i | ||||
\(545\) | −46.3646 | − | 13.6139i | −1.98604 | − | 0.583154i | ||||
\(546\) | −0.0933577 | − | 0.649317i | −0.00399534 | − | 0.0277882i | ||||
\(547\) | −0.801703 | + | 1.75549i | −0.0342784 | + | 0.0750591i | −0.925997 | − | 0.377532i | \(-0.876773\pi\) |
0.891718 | + | 0.452591i | \(0.149500\pi\) | |||||||
\(548\) | −1.83325 | + | 12.7505i | −0.0783124 | + | 0.544674i | ||||
\(549\) | −9.60592 | − | 6.17335i | −0.409971 | − | 0.263472i | ||||
\(550\) | −25.5523 | − | 29.4889i | −1.08955 | − | 1.25741i | ||||
\(551\) | 25.5974 | 1.09049 | ||||||||
\(552\) | −0.141965 | − | 0.692878i | −0.00604242 | − | 0.0294909i | ||||
\(553\) | 1.45928 | 0.0620550 | ||||||||
\(554\) | 1.56199 | + | 1.80263i | 0.0663626 | + | 0.0765865i | ||||
\(555\) | 4.68910 | + | 3.01350i | 0.199041 | + | 0.127916i | ||||
\(556\) | −0.945369 | + | 6.57518i | −0.0400926 | + | 0.278850i | ||||
\(557\) | −15.2165 | + | 33.3196i | −0.644745 | + | 1.41180i | 0.251334 | + | 0.967900i | \(0.419131\pi\) |
−0.896079 | + | 0.443895i | \(0.853596\pi\) | |||||||
\(558\) | 3.00735 | + | 20.9166i | 0.127311 | + | 0.885469i | ||||
\(559\) | −26.3853 | − | 7.74742i | −1.11598 | − | 0.327681i | ||||
\(560\) | −3.07944 | + | 1.97904i | −0.130130 | + | 0.0836296i | ||||
\(561\) | 1.31377 | + | 2.87676i | 0.0554676 | + | 0.121457i | ||||
\(562\) | 10.5711 | − | 3.10397i | 0.445917 | − | 0.130933i | ||||
\(563\) | 15.1085 | − | 17.4362i | 0.636748 | − | 0.734847i | −0.342048 | − | 0.939683i | \(-0.611121\pi\) |
0.978796 | + | 0.204836i | \(0.0656660\pi\) | |||||||
\(564\) | 0.374205 | − | 0.431856i | 0.0157569 | − | 0.0181844i | ||||
\(565\) | 7.61647 | − | 2.23640i | 0.320427 | − | 0.0940860i | ||||
\(566\) | −10.7354 | − | 23.5072i | −0.451241 | − | 0.988081i | ||||
\(567\) | −7.40701 | + | 4.76020i | −0.311065 | + | 0.199909i | ||||
\(568\) | 9.80472 | + | 2.87893i | 0.411397 | + | 0.120797i | ||||
\(569\) | 5.06454 | + | 35.2247i | 0.212317 | + | 1.47670i | 0.765392 | + | 0.643564i | \(0.222545\pi\) |
−0.553075 | + | 0.833131i | \(0.686546\pi\) | |||||||
\(570\) | 0.925789 | − | 2.02720i | 0.0387770 | − | 0.0849099i | ||||
\(571\) | 2.94114 | − | 20.4561i | 0.123083 | − | 0.856061i | −0.830947 | − | 0.556351i | \(-0.812201\pi\) |
0.954030 | − | 0.299710i | \(-0.0968900\pi\) | |||||||
\(572\) | −17.3831 | − | 11.1715i | −0.726825 | − | 0.467102i | ||||
\(573\) | −1.03792 | − | 1.19783i | −0.0433599 | − | 0.0500400i | ||||
\(574\) | 9.52192 | 0.397437 | ||||||||
\(575\) | −24.5292 | + | 31.9535i | −1.02294 | + | 1.33255i | ||||
\(576\) | −2.97825 | −0.124094 | ||||||||
\(577\) | 7.48897 | + | 8.64274i | 0.311770 | + | 0.359802i | 0.889910 | − | 0.456136i | \(-0.150767\pi\) |
−0.578140 | + | 0.815937i | \(0.696221\pi\) | |||||||
\(578\) | 3.62580 | + | 2.33016i | 0.150813 | + | 0.0969219i | ||||
\(579\) | 0.179029 | − | 1.24518i | 0.00744021 | − | 0.0517478i | ||||
\(580\) | 9.42891 | − | 20.6464i | 0.391514 | − | 0.857297i | ||||
\(581\) | −0.217535 | − | 1.51299i | −0.00902487 | − | 0.0627693i | ||||
\(582\) | 2.28211 | + | 0.670089i | 0.0945966 | + | 0.0277761i | ||||
\(583\) | −51.7308 | + | 33.2454i | −2.14247 | + | 1.37688i | ||||
\(584\) | 2.76062 | + | 6.04493i | 0.114235 | + | 0.250141i | ||||
\(585\) | −46.5292 | + | 13.6622i | −1.92374 | + | 0.564862i | ||||
\(586\) | 6.01202 | − | 6.93825i | 0.248354 | − | 0.286616i | ||||
\(587\) | 15.6794 | − | 18.0950i | 0.647157 | − | 0.746859i | −0.333466 | − | 0.942762i | \(-0.608218\pi\) |
0.980623 | + | 0.195903i | \(0.0627638\pi\) | |||||||
\(588\) | −0.141503 | + | 0.0415489i | −0.00583547 | + | 0.00171345i | ||||
\(589\) | 12.1679 | + | 26.6440i | 0.501371 | + | 1.09785i | ||||
\(590\) | −1.12008 | + | 0.719833i | −0.0461131 | + | 0.0296351i | ||||
\(591\) | −0.658567 | − | 0.193373i | −0.0270898 | − | 0.00795429i | ||||
\(592\) | −1.46942 | − | 10.2200i | −0.0603926 | − | 0.420040i | ||||
\(593\) | −11.3969 | + | 24.9558i | −0.468015 | + | 1.02481i | 0.517571 | + | 0.855640i | \(0.326836\pi\) |
−0.985587 | + | 0.169171i | \(0.945891\pi\) | |||||||
\(594\) | 0.582869 | − | 4.05395i | 0.0239154 | − | 0.166335i | ||||
\(595\) | −14.2156 | − | 9.13578i | −0.582781 | − | 0.374531i | ||||
\(596\) | 5.27170 | + | 6.08387i | 0.215937 | + | 0.249205i | ||||
\(597\) | 4.11396 | 0.168373 | ||||||||
\(598\) | −7.69633 | + | 19.8957i | −0.314726 | + | 0.813597i | ||||
\(599\) | 0.0286516 | 0.00117067 | 0.000585336 | − | 1.00000i | \(-0.499814\pi\) | ||||
0.000585336 | 1.00000i | \(0.499814\pi\) | ||||||||
\(600\) | −0.811200 | − | 0.936175i | −0.0331171 | − | 0.0382192i | ||||
\(601\) | 11.5688 | + | 7.43483i | 0.471902 | + | 0.303273i | 0.754891 | − | 0.655850i | \(-0.227690\pi\) |
−0.282989 | + | 0.959123i | \(0.591326\pi\) | |||||||
\(602\) | −0.879819 | + | 6.11928i | −0.0358587 | + | 0.249403i | ||||
\(603\) | 12.3229 | − | 26.9834i | 0.501828 | − | 1.09885i | ||||
\(604\) | −0.423545 | − | 2.94582i | −0.0172338 | − | 0.119864i | ||||
\(605\) | −37.1592 | − | 10.9109i | −1.51074 | − | 0.443592i | ||||
\(606\) | 0.531475 | − | 0.341558i | 0.0215897 | − | 0.0138749i | ||||
\(607\) | 1.40570 | + | 3.07804i | 0.0570554 | + | 0.124934i | 0.936012 | − | 0.351967i | \(-0.114487\pi\) |
−0.878957 | + | 0.476901i | \(0.841760\pi\) | |||||||
\(608\) | −3.96099 | + | 1.16305i | −0.160639 | + | 0.0471680i | ||||
\(609\) | 0.598833 | − | 0.691091i | 0.0242660 | − | 0.0280044i | ||||
\(610\) | −9.19062 | + | 10.6065i | −0.372117 | + | 0.429446i | ||||
\(611\) | −16.5370 | + | 4.85571i | −0.669016 | + | 0.196441i | ||||
\(612\) | −5.71130 | − | 12.5060i | −0.230866 | − | 0.505525i | ||||
\(613\) | −1.92336 | + | 1.23607i | −0.0776837 | + | 0.0499243i | −0.578906 | − | 0.815394i | \(-0.696520\pi\) |
0.501222 | + | 0.865318i | \(0.332884\pi\) | |||||||
\(614\) | 19.4405 | + | 5.70825i | 0.784555 | + | 0.230366i | ||||
\(615\) | 0.731548 | + | 5.08803i | 0.0294989 | + | 0.205169i | ||||
\(616\) | −1.92977 | + | 4.22561i | −0.0777528 | + | 0.170255i | ||||
\(617\) | 4.15988 | − | 28.9326i | 0.167470 | − | 1.16478i | −0.716619 | − | 0.697465i | \(-0.754311\pi\) |
0.884090 | − | 0.467318i | \(-0.154780\pi\) | |||||||
\(618\) | 0.738872 | + | 0.474844i | 0.0297218 | + | 0.0191010i | ||||
\(619\) | 21.7909 | + | 25.1480i | 0.875850 | + | 1.01078i | 0.999829 | + | 0.0185000i | \(0.00588907\pi\) |
−0.123979 | + | 0.992285i | \(0.539565\pi\) | |||||||
\(620\) | 25.9727 | 1.04309 | ||||||||
\(621\) | −4.22082 | + | 0.250565i | −0.169376 | + | 0.0100548i | ||||
\(622\) | 13.9945 | 0.561128 | ||||||||
\(623\) | 5.97129 | + | 6.89123i | 0.239235 | + | 0.276091i | ||||
\(624\) | −0.551857 | − | 0.354657i | −0.0220920 | − | 0.0141976i | ||||
\(625\) | −0.505896 | + | 3.51858i | −0.0202358 | + | 0.140743i | ||||
\(626\) | 8.81053 | − | 19.2924i | 0.352139 | − | 0.771078i | ||||
\(627\) | −0.402494 | − | 2.79940i | −0.0160740 | − | 0.111797i | ||||
\(628\) | 1.17371 | + | 0.344634i | 0.0468363 | + | 0.0137524i | ||||
\(629\) | 40.0971 | − | 25.7689i | 1.59878 | − | 1.02747i | ||||
\(630\) | 4.52886 | + | 9.91681i | 0.180434 | + | 0.395095i | ||||
\(631\) | −12.2919 | + | 3.60923i | −0.489333 | + | 0.143681i | −0.517086 | − | 0.855934i | \(-0.672983\pi\) |
0.0277524 | + | 0.999615i | \(0.491165\pi\) | |||||||
\(632\) | 0.955627 | − | 1.10285i | 0.0380128 | − | 0.0438691i | ||||
\(633\) | −0.710441 | + | 0.819893i | −0.0282375 | + | 0.0325878i | ||||
\(634\) | −19.6581 | + | 5.77214i | −0.780724 | + | 0.229241i | ||||
\(635\) | 11.7781 | + | 25.7905i | 0.467400 | + | 1.02346i | ||||
\(636\) | −1.64228 | + | 1.05543i | −0.0651208 | + | 0.0418506i | ||||
\(637\) | 4.26794 | + | 1.25318i | 0.169102 | + | 0.0496529i | ||||
\(638\) | −4.09929 | − | 28.5112i | −0.162292 | − | 1.12877i | ||||
\(639\) | 12.6426 | − | 27.6835i | 0.500134 | − | 1.09514i | ||||
\(640\) | −0.520949 | + | 3.62328i | −0.0205923 | + | 0.143223i | ||||
\(641\) | −23.7986 | − | 15.2944i | −0.939987 | − | 0.604093i | −0.0215959 | − | 0.999767i | \(-0.506875\pi\) |
−0.918391 | + | 0.395674i | \(0.870511\pi\) | |||||||
\(642\) | −0.665456 | − | 0.767977i | −0.0262634 | − | 0.0303096i | ||||
\(643\) | −2.27027 | −0.0895305 | −0.0447653 | − | 0.998998i | \(-0.514254\pi\) | ||||
−0.0447653 | + | 0.998998i | \(0.514254\pi\) | |||||||
\(644\) | 4.67355 | + | 1.07608i | 0.184164 | + | 0.0424035i | ||||
\(645\) | −3.33742 | −0.131411 | ||||||||
\(646\) | −12.4797 | − | 14.4023i | −0.491005 | − | 0.566650i | ||||
\(647\) | 29.2940 | + | 18.8261i | 1.15167 | + | 0.740132i | 0.969971 | − | 0.243222i | \(-0.0782045\pi\) |
0.181697 | + | 0.983354i | \(0.441841\pi\) | |||||||
\(648\) | −1.25304 | + | 8.71511i | −0.0492242 | + | 0.342362i | ||||
\(649\) | −0.701915 | + | 1.53698i | −0.0275526 | + | 0.0603317i | ||||
\(650\) | 5.31721 | + | 36.9820i | 0.208558 | + | 1.45055i | ||||
\(651\) | 1.00401 | + | 0.294803i | 0.0393502 | + | 0.0115543i | ||||
\(652\) | 14.8393 | − | 9.53665i | 0.581153 | − | 0.373484i | ||||
\(653\) | 9.89272 | + | 21.6620i | 0.387132 | + | 0.847701i | 0.998415 | + | 0.0562883i | \(0.0179266\pi\) |
−0.611283 | + | 0.791412i | \(0.709346\pi\) | |||||||
\(654\) | −1.86794 | + | 0.548478i | −0.0730424 | + | 0.0214472i | ||||
\(655\) | −30.5320 | + | 35.2358i | −1.19299 | + | 1.37678i | ||||
\(656\) | 6.23553 | − | 7.19619i | 0.243457 | − | 0.280964i | ||||
\(657\) | 18.9901 | − | 5.57601i | 0.740876 | − | 0.217541i | ||||
\(658\) | 1.60961 | + | 3.52455i | 0.0627491 | + | 0.137401i | ||||
\(659\) | 30.6147 | − | 19.6749i | 1.19258 | − | 0.766424i | 0.214922 | − | 0.976631i | \(-0.431050\pi\) |
0.977657 | + | 0.210207i | \(0.0674138\pi\) | |||||||
\(660\) | −2.40621 | − | 0.706528i | −0.0936617 | − | 0.0275016i | ||||
\(661\) | −0.461222 | − | 3.20787i | −0.0179395 | − | 0.124772i | 0.978884 | − | 0.204418i | \(-0.0655301\pi\) |
−0.996823 | + | 0.0796460i | \(0.974621\pi\) | |||||||
\(662\) | −2.86456 | + | 6.27251i | −0.111334 | + | 0.243788i | ||||
\(663\) | 0.430965 | − | 2.99743i | 0.0167373 | − | 0.116410i | ||||
\(664\) | −1.28590 | − | 0.826395i | −0.0499024 | − | 0.0320703i | ||||
\(665\) | 9.89592 | + | 11.4205i | 0.383747 | + | 0.442868i | ||||
\(666\) | −30.7508 | −1.19157 | ||||||||
\(667\) | −27.9859 | + | 10.0540i | −1.08362 | + | 0.389293i | ||||
\(668\) | −16.3651 | −0.633186 | ||||||||
\(669\) | 1.79850 | + | 2.07558i | 0.0695341 | + | 0.0802466i | ||||
\(670\) | −30.6720 | − | 19.7117i | −1.18496 | − | 0.761530i | ||||
\(671\) | −2.53469 | + | 17.6292i | −0.0978507 | + | 0.680566i | ||||
\(672\) | −0.0612640 | + | 0.134149i | −0.00236331 | + | 0.00517492i | ||||
\(673\) | −2.76058 | − | 19.2003i | −0.106413 | − | 0.740116i | −0.971250 | − | 0.238063i | \(-0.923487\pi\) |
0.864837 | − | 0.502053i | \(-0.167422\pi\) | |||||||
\(674\) | 5.70037 | + | 1.67378i | 0.219570 | + | 0.0644716i | ||||
\(675\) | −6.22989 | + | 4.00371i | −0.239789 | + | 0.154103i | ||||
\(676\) | 2.81893 | + | 6.17260i | 0.108420 | + | 0.237408i | ||||
\(677\) | −14.9160 | + | 4.37972i | −0.573267 | + | 0.168326i | −0.555501 | − | 0.831516i | \(-0.687474\pi\) |
−0.0177661 | + | 0.999842i | \(0.505655\pi\) | |||||||
\(678\) | 0.209430 | − | 0.241695i | 0.00804311 | − | 0.00928224i | ||||
\(679\) | −10.5614 | + | 12.1885i | −0.405309 | + | 0.467752i | ||||
\(680\) | −16.2136 | + | 4.76073i | −0.621762 | + | 0.182566i | ||||
\(681\) | 1.12692 | + | 2.46760i | 0.0431835 | + | 0.0945586i | ||||
\(682\) | 27.7283 | − | 17.8199i | 1.06177 | − | 0.682360i | ||||
\(683\) | 16.4365 | + | 4.82618i | 0.628924 | + | 0.184669i | 0.580634 | − | 0.814165i | \(-0.302805\pi\) |
0.0482899 | + | 0.998833i | \(0.484623\pi\) | |||||||
\(684\) | 1.74974 | + | 12.1697i | 0.0669029 | + | 0.465320i | ||||
\(685\) | 19.5883 | − | 42.8925i | 0.748432 | − | 1.63884i | ||||
\(686\) | 0.142315 | − | 0.989821i | 0.00543361 | − | 0.0377916i | ||||
\(687\) | 0.528970 | + | 0.339948i | 0.0201814 | + | 0.0129698i | ||||
\(688\) | 4.04848 | + | 4.67220i | 0.154347 | + | 0.178126i | ||||
\(689\) | 58.8810 | 2.24319 | ||||||||
\(690\) | −0.215944 | + | 2.57998i | −0.00822083 | + | 0.0982181i | ||||
\(691\) | −19.8891 | −0.756615 | −0.378308 | − | 0.925680i | \(-0.623494\pi\) | ||||
−0.378308 | + | 0.925680i | \(0.623494\pi\) | |||||||
\(692\) | −2.91888 | − | 3.36856i | −0.110959 | − | 0.128054i | ||||
\(693\) | 11.6389 | + | 7.47987i | 0.442126 | + | 0.284137i | ||||
\(694\) | −1.38231 | + | 9.61421i | −0.0524719 | + | 0.364950i | ||||
\(695\) | 10.1013 | − | 22.1188i | 0.383165 | − | 0.839015i | ||||
\(696\) | −0.130139 | − | 0.905136i | −0.00493290 | − | 0.0343091i | ||||
\(697\) | 42.1753 | + | 12.3838i | 1.59750 | + | 0.469069i | ||||
\(698\) | −8.86793 | + | 5.69907i | −0.335656 | + | 0.215713i | ||||
\(699\) | −0.590938 | − | 1.29397i | −0.0223513 | − | 0.0489426i | ||||
\(700\) | 8.05932 | − | 2.36643i | 0.304613 | − | 0.0894426i | ||||
\(701\) | 21.4338 | − | 24.7359i | 0.809543 | − | 0.934263i | −0.189321 | − | 0.981915i | \(-0.560629\pi\) |
0.998864 | + | 0.0476525i | \(0.0151740\pi\) | |||||||
\(702\) | −2.56817 | + | 2.96382i | −0.0969291 | + | 0.111862i | ||||
\(703\) | −40.8976 | + | 12.0086i | −1.54248 | + | 0.452914i | ||||
\(704\) | 1.92977 | + | 4.22561i | 0.0727311 | + | 0.159259i | ||||
\(705\) | −1.75968 | + | 1.13088i | −0.0662733 | + | 0.0425913i | ||||
\(706\) | 12.7222 | + | 3.73558i | 0.478806 | + | 0.140590i | ||||
\(707\) | 0.609654 | + | 4.24023i | 0.0229284 | + | 0.159470i | ||||
\(708\) | −0.0222835 | + | 0.0487940i | −0.000837464 | + | 0.00183379i | ||||
\(709\) | 2.89234 | − | 20.1167i | 0.108624 | − | 0.755497i | −0.860594 | − | 0.509292i | \(-0.829907\pi\) |
0.969218 | − | 0.246205i | \(-0.0791836\pi\) | |||||||
\(710\) | −31.4677 | − | 20.2231i | −1.18096 | − | 0.758959i | ||||
\(711\) | −2.84610 | − | 3.28457i | −0.106737 | − | 0.123181i | ||||
\(712\) | 9.11841 | 0.341727 | ||||||||
\(713\) | −23.7684 | − | 24.3509i | −0.890134 | − | 0.911950i | ||||
\(714\) | −0.680792 | −0.0254780 | ||||||||
\(715\) | 49.5331 | + | 57.1642i | 1.85243 | + | 2.13782i | ||||
\(716\) | 8.33721 | + | 5.35800i | 0.311576 | + | 0.200238i | ||||
\(717\) | 0.487992 | − | 3.39406i | 0.0182244 | − | 0.126753i | ||||
\(718\) | −2.49638 | + | 5.46630i | −0.0931640 | + | 0.204001i | ||||
\(719\) | −0.651565 | − | 4.53173i | −0.0242993 | − | 0.169005i | 0.974058 | − | 0.226298i | \(-0.0726623\pi\) |
−0.998357 | + | 0.0572927i | \(0.981753\pi\) | |||||||
\(720\) | 10.4604 | + | 3.07145i | 0.389836 | + | 0.114466i | ||||
\(721\) | −5.01010 | + | 3.21980i | −0.186586 | + | 0.119911i | ||||
\(722\) | −0.813333 | − | 1.78095i | −0.0302691 | − | 0.0662801i | ||||
\(723\) | −0.844500 | + | 0.247968i | −0.0314073 | + | 0.00922201i | ||||
\(724\) | 10.3107 | − | 11.8992i | 0.383194 | − | 0.442230i | ||||
\(725\) | −34.1067 | + | 39.3612i | −1.26669 | + | 1.46184i | ||||
\(726\) | −1.49708 | + | 0.439581i | −0.0555617 | + | 0.0163144i | ||||
\(727\) | 18.1189 | + | 39.6748i | 0.671991 | + | 1.47146i | 0.870912 | + | 0.491440i | \(0.163529\pi\) |
−0.198921 | + | 0.980016i | \(0.563744\pi\) | |||||||
\(728\) | 3.74200 | − | 2.40484i | 0.138688 | − | 0.0891292i | ||||
\(729\) | 24.7862 | + | 7.27789i | 0.918008 | + | 0.269552i | ||||
\(730\) | −3.46195 | − | 24.0784i | −0.128132 | − | 0.891181i | ||||
\(731\) | −11.8554 | + | 25.9598i | −0.438489 | + | 0.960156i | ||||
\(732\) | −0.0804681 | + | 0.559668i | −0.00297419 | + | 0.0206859i | ||||
\(733\) | 5.52081 | + | 3.54801i | 0.203916 | + | 0.131049i | 0.638613 | − | 0.769528i | \(-0.279508\pi\) |
−0.434698 | + | 0.900577i | \(0.643145\pi\) | |||||||
\(734\) | 16.5492 | + | 19.0988i | 0.610841 | + | 0.704949i | ||||
\(735\) | 0.539844 | 0.0199124 | ||||||||
\(736\) | 3.87377 | − | 2.82735i | 0.142789 | − | 0.104217i | ||||
\(737\) | −46.2695 | −1.70436 | ||||||||
\(738\) | −18.5710 | − | 21.4320i | −0.683607 | − | 0.788924i | ||||
\(739\) | −4.31130 | − | 2.77071i | −0.158594 | − | 0.101922i | 0.458937 | − | 0.888469i | \(-0.348230\pi\) |
−0.617531 | + | 0.786547i | \(0.711867\pi\) | |||||||
\(740\) | −5.37886 | + | 37.4108i | −0.197731 | + | 1.37525i | ||||
\(741\) | −1.12498 | + | 2.46336i | −0.0413271 | + | 0.0904937i | ||||
\(742\) | −1.88386 | − | 13.1025i | −0.0691586 | − | 0.481009i | ||||
\(743\) | 18.0401 | + | 5.29705i | 0.661827 | + | 0.194330i | 0.595361 | − | 0.803459i | \(-0.297009\pi\) |
0.0664668 | + | 0.997789i | \(0.478827\pi\) | |||||||
\(744\) | 0.880283 | − | 0.565724i | 0.0322727 | − | 0.0207404i | ||||
\(745\) | −12.2413 | − | 26.8048i | −0.448488 | − | 0.982052i | ||||
\(746\) | 18.5562 | − | 5.44858i | 0.679389 | − | 0.199487i | ||||
\(747\) | −2.98118 | + | 3.44047i | −0.109076 | + | 0.125880i | ||||
\(748\) | −14.0432 | + | 16.2067i | −0.513469 | + | 0.592574i | ||||
\(749\) | 6.61133 | − | 1.94126i | 0.241573 | − | 0.0709322i | ||||
\(750\) | 0.762382 | + | 1.66938i | 0.0278382 | + | 0.0609573i | ||||
\(751\) | 0.494476 | − | 0.317780i | 0.0180437 | − | 0.0115960i | −0.531588 | − | 0.847003i | \(-0.678404\pi\) |
0.549632 | + | 0.835407i | \(0.314768\pi\) | |||||||
\(752\) | 3.71775 | + | 1.09163i | 0.135572 | + | 0.0398076i | ||||
\(753\) | −0.175824 | − | 1.22288i | −0.00640737 | − | 0.0445642i | ||||
\(754\) | −11.4576 | + | 25.0886i | −0.417261 | + | 0.913674i | ||||
\(755\) | −1.55040 | + | 10.7833i | −0.0564250 | + | 0.392445i | ||||
\(756\) | 0.741693 | + | 0.476657i | 0.0269751 | + | 0.0173358i | ||||
\(757\) | 25.8711 | + | 29.8568i | 0.940301 | + | 1.08517i | 0.996232 | + | 0.0867308i | \(0.0276420\pi\) |
−0.0559306 | + | 0.998435i | \(0.517813\pi\) | |||||||
\(758\) | −3.08680 | −0.112118 | ||||||||
\(759\) | 1.53958 | + | 2.90253i | 0.0558834 | + | 0.105355i | ||||
\(760\) | 15.1115 | 0.548151 | ||||||||
\(761\) | 21.8582 | + | 25.2257i | 0.792358 | + | 0.914430i | 0.997936 | − | 0.0642103i | \(-0.0204529\pi\) |
−0.205578 | + | 0.978641i | \(0.565907\pi\) | |||||||
\(762\) | 0.960944 | + | 0.617561i | 0.0348113 | + | 0.0223719i | ||||
\(763\) | 1.87867 | − | 13.0664i | 0.0680123 | − | 0.473036i | ||||
\(764\) | 4.46453 | − | 9.77597i | 0.161521 | − | 0.353682i | ||||
\(765\) | 7.16223 | + | 49.8144i | 0.258951 | + | 1.80104i | ||||
\(766\) | 26.8154 | + | 7.87371i | 0.968879 | + | 0.284489i | ||||
\(767\) | 1.36107 | − | 0.874709i | 0.0491455 | − | 0.0315839i | ||||
\(768\) | 0.0612640 | + | 0.134149i | 0.00221067 | + | 0.00484070i | ||||
\(769\) | 7.71960 | − | 2.26668i | 0.278376 | − | 0.0817385i | −0.139565 | − | 0.990213i | \(-0.544570\pi\) |
0.417940 | + | 0.908474i | \(0.362752\pi\) | |||||||
\(770\) | 11.1357 | − | 12.8513i | 0.401303 | − | 0.463129i | ||||
\(771\) | 0.719903 | − | 0.830813i | 0.0259267 | − | 0.0299210i | ||||
\(772\) | 8.18452 | − | 2.40319i | 0.294567 | − | 0.0864928i | ||||
\(773\) | −4.89521 | − | 10.7190i | −0.176068 | − | 0.385536i | 0.800938 | − | 0.598748i | \(-0.204335\pi\) |
−0.977006 | + | 0.213212i | \(0.931608\pi\) | |||||||
\(774\) | 15.4893 | − | 9.95436i | 0.556751 | − | 0.357802i | ||||
\(775\) | −57.1835 | − | 16.7906i | −2.05409 | − | 0.603136i | ||||
\(776\) | 2.29521 | + | 15.9635i | 0.0823933 | + | 0.573058i | ||||
\(777\) | −0.632557 | + | 1.38511i | −0.0226929 | + | 0.0496904i | ||||
\(778\) | 0.493272 | − | 3.43078i | 0.0176847 | − | 0.123000i | ||||
\(779\) | −33.0684 | − | 21.2518i | −1.18480 | − | 0.761424i | ||||
\(780\) | 1.57251 | + | 1.81478i | 0.0563050 | + | 0.0649794i | ||||
\(781\) | −47.4698 | −1.69860 | ||||||||
\(782\) | 19.3010 | + | 10.8445i | 0.690201 | + | 0.387797i | ||||
\(783\) | −5.46677 | −0.195367 | ||||||||
\(784\) | −0.654861 | − | 0.755750i | −0.0233879 | − | 0.0269911i | ||||
\(785\) | −3.76698 | − | 2.42089i | −0.134449 | − | 0.0864052i | ||||
\(786\) | −0.267322 | + | 1.85927i | −0.00953506 | + | 0.0663178i | ||||
\(787\) | −2.27957 | + | 4.99155i | −0.0812578 | + | 0.177930i | −0.945900 | − | 0.324459i | \(-0.894818\pi\) |
0.864642 | + | 0.502388i | \(0.167545\pi\) | |||||||
\(788\) | −0.662347 | − | 4.60673i | −0.0235951 | − | 0.164108i | ||||
\(789\) | −3.22376 | − | 0.946582i | −0.114769 | − | 0.0336992i | ||||
\(790\) | −4.49378 | + | 2.88798i | −0.159881 | + | 0.102750i | ||||
\(791\) | 0.900843 | + | 1.97257i | 0.0320303 | + | 0.0701366i | ||||
\(792\) | 13.2748 | − | 3.89783i | 0.471699 | − | 0.138503i | ||||
\(793\) | 11.1680 | − | 12.8886i | 0.396588 | − | 0.457688i | ||||
\(794\) | −17.1358 | + | 19.7757i | −0.608125 | + | 0.701814i | ||||
\(795\) | 6.85659 | − | 2.01328i | 0.243178 | − | 0.0714035i | ||||
\(796\) | 11.5883 | + | 25.3748i | 0.410736 | + | 0.899387i | ||||
\(797\) | −8.42940 | + | 5.41725i | −0.298585 | + | 0.191889i | −0.681352 | − | 0.731956i | \(-0.738608\pi\) |
0.382767 | + | 0.923845i | \(0.374971\pi\) | |||||||
\(798\) | 0.584153 | + | 0.171523i | 0.0206788 | + | 0.00607184i | ||||
\(799\) | 2.54554 | + | 17.7046i | 0.0900548 | + | 0.626345i | ||||
\(800\) | 3.48930 | − | 7.64051i | 0.123365 | − | 0.270133i | ||||
\(801\) | 3.86483 | − | 26.8805i | 0.136557 | − | 0.949775i | ||||
\(802\) | −12.7762 | − | 8.21077i | −0.451143 | − | 0.289932i | ||||
\(803\) | −20.2161 | − | 23.3307i | −0.713412 | − | 0.823321i | ||||
\(804\) | −1.46890 | −0.0518042 | ||||||||
\(805\) | −15.3050 | − | 8.59927i | −0.539430 | − | 0.303085i | ||||
\(806\) | −31.5609 | −1.11169 | ||||||||
\(807\) | −0.895228 | − | 1.03315i | −0.0315135 | − | 0.0363685i | ||||
\(808\) | 3.60379 | + | 2.31602i | 0.126781 | + | 0.0814772i | ||||
\(809\) | −1.20275 | + | 8.36528i | −0.0422863 | + | 0.294108i | 0.957694 | + | 0.287789i | \(0.0929203\pi\) |
−0.999980 | + | 0.00631835i | \(0.997989\pi\) | |||||||
\(810\) | 13.3889 | − | 29.3175i | 0.470436 | − | 1.03011i | ||||
\(811\) | 3.01111 | + | 20.9427i | 0.105734 | + | 0.735399i | 0.971858 | + | 0.235569i | \(0.0756952\pi\) |
−0.866123 | + | 0.499830i | \(0.833396\pi\) | |||||||
\(812\) | 5.94944 | + | 1.74691i | 0.208784 | + | 0.0613046i | ||||
\(813\) | −1.10731 | + | 0.711627i | −0.0388352 | + | 0.0249579i | ||||
\(814\) | 19.9251 | + | 43.6299i | 0.698375 | + | 1.52923i | ||||
\(815\) | −61.9547 | + | 18.1915i | −2.17018 | + | 0.637222i | ||||
\(816\) | −0.445824 | + | 0.514508i | −0.0156070 | + | 0.0180114i | ||||
\(817\) | 16.7130 | − | 19.2878i | 0.584713 | − | 0.674795i | ||||
\(818\) | −12.8167 | + | 3.76333i | −0.448126 | + | 0.131582i | ||||
\(819\) | −5.50327 | − | 12.0505i | −0.192300 | − | 0.421077i | ||||
\(820\) | −29.3222 | + | 18.8442i | −1.02398 | + | 0.658069i | ||||
\(821\) | 26.4524 | + | 7.76713i | 0.923196 | + | 0.271075i | 0.708585 | − | 0.705625i | \(-0.249334\pi\) |
0.214610 | + | 0.976700i | \(0.431152\pi\) | |||||||
\(822\) | −0.270361 | − | 1.88040i | −0.00942991 | − | 0.0655865i | ||||
\(823\) | 1.45251 | − | 3.18055i | 0.0506313 | − | 0.110867i | −0.882626 | − | 0.470076i | \(-0.844226\pi\) |
0.933257 | + | 0.359209i | \(0.116954\pi\) | |||||||
\(824\) | −0.847558 | + | 5.89490i | −0.0295261 | + | 0.205358i | ||||
\(825\) | 4.84095 | + | 3.11109i | 0.168540 | + | 0.108314i | ||||
\(826\) | −0.238192 | − | 0.274888i | −0.00828775 | − | 0.00956458i | ||||
\(827\) | −49.4602 | −1.71990 | −0.859950 | − | 0.510378i | \(-0.829505\pi\) | ||||
−0.859950 | + | 0.510378i | \(0.829505\pi\) | |||||||
\(828\) | −6.69295 | − | 12.6180i | −0.232596 | − | 0.438506i | ||||
\(829\) | 23.5529 | 0.818024 | 0.409012 | − | 0.912529i | \(-0.365873\pi\) | ||||
0.409012 | + | 0.912529i | \(0.365873\pi\) | |||||||
\(830\) | 3.66415 | + | 4.22865i | 0.127184 | + | 0.146779i | ||||
\(831\) | −0.295923 | − | 0.190178i | −0.0102655 | − | 0.00659721i | ||||
\(832\) | 0.633034 | − | 4.40285i | 0.0219465 | − | 0.152641i | ||||
\(833\) | 1.91767 | − | 4.19911i | 0.0664433 | − | 0.145491i | ||||
\(834\) | −0.139420 | − | 0.969685i | −0.00482771 | − | 0.0335774i | ||||
\(835\) | 57.4786 | + | 16.8772i | 1.98913 | + | 0.584061i | ||||
\(836\) | 16.1329 | − | 10.3680i | 0.557968 | − | 0.358585i | ||||
\(837\) | −2.59867 | − | 5.69030i | −0.0898233 | − | 0.196686i | ||||
\(838\) | 16.0784 | − | 4.72103i | 0.555418 | − | 0.163085i | ||||
\(839\) | −9.74350 | + | 11.2446i | −0.336383 | + | 0.388207i | −0.898590 | − | 0.438790i | \(-0.855407\pi\) |
0.562206 | + | 0.826997i | \(0.309953\pi\) | |||||||
\(840\) | 0.353522 | − | 0.407987i | 0.0121977 | − | 0.0140769i | ||||
\(841\) | −9.06483 | + | 2.66167i | −0.312580 | + | 0.0917819i | ||||
\(842\) | −10.0612 | − | 22.0310i | −0.346733 | − | 0.759238i | ||||
\(843\) | −1.36688 | + | 0.878439i | −0.0470778 | + | 0.0302550i | ||||
\(844\) | −7.05827 | − | 2.07249i | −0.242956 | − | 0.0713382i | ||||
\(845\) | −3.53507 | − | 24.5869i | −0.121610 | − | 0.845816i | ||||
\(846\) | 4.79382 | − | 10.4970i | 0.164815 | − | 0.360894i | ||||
\(847\) | 1.50567 | − | 10.4721i | 0.0517354 | − | 0.359827i | ||||
\(848\) | −11.1359 | − | 7.15661i | −0.382408 | − | 0.245759i | ||||
\(849\) | 2.49578 | + | 2.88029i | 0.0856551 | + | 0.0988512i | ||||
\(850\) | 38.7747 | 1.32996 | ||||||||
\(851\) | 39.9971 | − | 29.1927i | 1.37108 | − | 1.00071i | ||||
\(852\) | −1.50701 | −0.0516293 | ||||||||
\(853\) | 6.60573 | + | 7.62342i | 0.226176 | + | 0.261021i | 0.857483 | − | 0.514512i | \(-0.172027\pi\) |
−0.631307 | + | 0.775533i | \(0.717481\pi\) | |||||||
\(854\) | −3.22536 | − | 2.07281i | −0.110369 | − | 0.0709301i | ||||
\(855\) | 6.40499 | − | 44.5477i | 0.219046 | − | 1.52350i | ||||
\(856\) | 2.86239 | − | 6.26777i | 0.0978346 | − | 0.214228i | ||||
\(857\) | 4.99584 | + | 34.7468i | 0.170655 | + | 1.18693i | 0.877506 | + | 0.479566i | \(0.159206\pi\) |
−0.706851 | + | 0.707363i | \(0.749885\pi\) | |||||||
\(858\) | 2.92392 | + | 0.858541i | 0.0998210 | + | 0.0293101i | ||||
\(859\) | 35.6121 | − | 22.8865i | 1.21507 | − | 0.780878i | 0.233570 | − | 0.972340i | \(-0.424959\pi\) |
0.981500 | + | 0.191462i | \(0.0613230\pi\) | |||||||
\(860\) | −9.40092 | − | 20.5852i | −0.320569 | − | 0.701948i | ||||
\(861\) | −1.34738 | + | 0.395626i | −0.0459185 | + | 0.0134829i | ||||
\(862\) | −6.71329 | + | 7.74755i | −0.228656 | + | 0.263883i | ||||
\(863\) | 24.7093 | − | 28.5161i | 0.841116 | − | 0.970699i | −0.158746 | − | 0.987319i | \(-0.550745\pi\) |
0.999862 | + | 0.0166201i | \(0.00529058\pi\) | |||||||
\(864\) | 0.845939 | − | 0.248390i | 0.0287794 | − | 0.00845040i | ||||
\(865\) | 6.77788 | + | 14.8415i | 0.230455 | + | 0.504626i | ||||
\(866\) | −13.1236 | + | 8.43402i | −0.445958 | + | 0.286600i | ||||
\(867\) | −0.609876 | − | 0.179076i | −0.0207125 | − | 0.00608173i | ||||
\(868\) | 1.00977 | + | 7.02311i | 0.0342738 | + | 0.238380i | ||||
\(869\) | −2.81608 | + | 6.16637i | −0.0955291 | + | 0.209180i | ||||
\(870\) | −0.476379 | + | 3.31329i | −0.0161508 | + | 0.112331i | ||||
\(871\) | 37.2713 | + | 23.9528i | 1.26289 | + | 0.811609i | ||||
\(872\) | −8.64467 | − | 9.97648i | −0.292745 | − | 0.337846i | ||||
\(873\) | 48.0323 | 1.62565 | ||||||||
\(874\) | −13.8290 | − | 14.1679i | −0.467771 | − | 0.479236i | ||||
\(875\) | −12.4442 | −0.420691 | ||||||||
\(876\) | −0.641796 | − | 0.740672i | −0.0216843 | − | 0.0250250i | ||||
\(877\) | −27.1236 | − | 17.4313i | −0.915899 | − | 0.588612i | −0.00443377 | − | 0.999990i | \(-0.501411\pi\) |
−0.911465 | + | 0.411378i | \(0.865048\pi\) | |||||||
\(878\) | −5.03968 | + | 35.0517i | −0.170081 | + | 1.18294i | ||||
\(879\) | −0.562441 | + | 1.23157i | −0.0189707 | + | 0.0415399i | ||||
\(880\) | −2.42002 | − | 16.8316i | −0.0815790 | − | 0.567394i | ||||
\(881\) | −33.4648 | − | 9.82614i | −1.12746 | − | 0.331051i | −0.335749 | − | 0.941951i | \(-0.608989\pi\) |
−0.791708 | + | 0.610900i | \(0.790808\pi\) | |||||||
\(882\) | −2.50546 | + | 1.61016i | −0.0843634 | + | 0.0542170i | ||||
\(883\) | 10.7717 | + | 23.5866i | 0.362495 | + | 0.793753i | 0.999733 | + | 0.0230865i | \(0.00734932\pi\) |
−0.637239 | + | 0.770667i | \(0.719923\pi\) | |||||||
\(884\) | 19.7020 | − | 5.78503i | 0.662650 | − | 0.194572i | ||||
\(885\) | 0.128586 | − | 0.148397i | 0.00432238 | − | 0.00498830i | ||||
\(886\) | −11.6239 | + | 13.4147i | −0.390512 | + | 0.450675i | ||||
\(887\) | 20.0772 | − | 5.89518i | 0.674125 | − | 0.197941i | 0.0732858 | − | 0.997311i | \(-0.476651\pi\) |
0.600839 | + | 0.799370i | \(0.294833\pi\) | |||||||
\(888\) | 0.632557 | + | 1.38511i | 0.0212272 | + | 0.0464811i | ||||
\(889\) | −6.51591 | + | 4.18752i | −0.218537 | + | 0.140445i | ||||
\(890\) | −32.0262 | − | 9.40375i | −1.07352 | − | 0.315214i | ||||
\(891\) | −5.82090 | − | 40.4853i | −0.195008 | − | 1.35631i | ||||
\(892\) | −7.73609 | + | 16.9397i | −0.259023 | + | 0.567182i | ||||
\(893\) | 2.27641 | − | 15.8328i | 0.0761771 | − | 0.529823i | ||||
\(894\) | −0.998738 | − | 0.641850i | −0.0334028 | − | 0.0214667i | ||||
\(895\) | −23.7568 | − | 27.4168i | −0.794102 | − | 0.916443i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | 0.262405 | − | 3.13507i | 0.00876145 | − | 0.104677i | ||||
\(898\) | 39.0487 | 1.30307 | ||||||||
\(899\) | −28.8108 | − | 33.2495i | −0.960895 | − | 1.10893i | ||||
\(900\) | −21.0448 | − | 13.5247i | −0.701493 | − | 0.450822i | ||||
\(901\) | 8.69641 | − | 60.4849i | 0.289719 | − | 2.01504i | ||||
\(902\) | −18.3751 | + | 40.2359i | −0.611825 | + | 1.33971i | ||||
\(903\) | −0.129753 | − | 0.902450i | −0.00431790 | − | 0.0300316i | ||||
\(904\) | 2.08070 | + | 0.610948i | 0.0692029 | + | 0.0203198i | ||||
\(905\) | −48.4855 | + | 31.1597i | −1.61171 | + | 1.03578i | ||||
\(906\) | 0.182329 | + | 0.399244i | 0.00605746 | + | 0.0132640i | ||||
\(907\) | −6.61389 | + | 1.94201i | −0.219611 | + | 0.0644835i | −0.389687 | − | 0.920947i | \(-0.627417\pi\) |
0.170076 | + | 0.985431i | \(0.445599\pi\) | |||||||
\(908\) | −12.0458 | + | 13.9016i | −0.399753 | + | 0.461340i | ||||
\(909\) | 8.35494 | − | 9.64211i | 0.277116 | − | 0.319809i | ||||
\(910\) | −15.6230 | + | 4.58732i | −0.517897 | + | 0.152068i | ||||
\(911\) | 10.1382 | + | 22.1996i | 0.335894 | + | 0.735506i | 0.999926 | − | 0.0121987i | \(-0.00388306\pi\) |
−0.664031 | + | 0.747705i | \(0.731156\pi\) | |||||||
\(912\) | 0.512167 | − | 0.329150i | 0.0169595 | − | 0.0108992i | ||||
\(913\) | 6.81310 | + | 2.00051i | 0.225481 | + | 0.0662071i | ||||
\(914\) | 2.04141 | + | 14.1983i | 0.0675238 | + | 0.469638i | ||||
\(915\) | 0.859807 | − | 1.88271i | 0.0284243 | − | 0.0622406i | ||||
\(916\) | −0.606780 | + | 4.22025i | −0.0200486 | + | 0.139441i | ||||
\(917\) | −10.7149 | − | 6.88605i | −0.353837 | − | 0.227398i | ||||
\(918\) | 2.66525 | + | 3.07586i | 0.0879663 | + | 0.101519i | ||||
\(919\) | −20.7020 | −0.682896 | −0.341448 | − | 0.939901i | \(-0.610917\pi\) | ||||
−0.341448 | + | 0.939901i | \(0.610917\pi\) | |||||||
\(920\) | −16.5215 | + | 5.93540i | −0.544699 | + | 0.195684i | ||||
\(921\) | −2.98806 | −0.0984598 | ||||||||
\(922\) | 10.6476 | + | 12.2880i | 0.350661 | + | 0.404684i | ||||
\(923\) | 38.2382 | + | 24.5742i | 1.25863 | + | 0.808870i | ||||
\(924\) | 0.0974983 | − | 0.678116i | 0.00320746 | − | 0.0223084i | ||||
\(925\) | 36.0274 | − | 78.8890i | 1.18457 | − | 2.59386i | ||||
\(926\) | 2.46931 | + | 17.1745i | 0.0811467 | + | 0.564388i | ||||
\(927\) | 17.0185 | + | 4.99710i | 0.558962 | + | 0.164126i | ||||
\(928\) | 5.21628 | − | 3.35230i | 0.171233 | − | 0.110045i | ||||
\(929\) | −3.84322 | − | 8.41548i | −0.126092 | − | 0.276103i | 0.836049 | − | 0.548655i | \(-0.184860\pi\) |
−0.962141 | + | 0.272551i | \(0.912132\pi\) | |||||||
\(930\) | −3.67521 | + | 1.07914i | −0.120515 | + | 0.0353864i | ||||
\(931\) | −2.70340 | + | 3.11989i | −0.0886004 | + | 0.102250i | ||||
\(932\) | 6.31664 | − | 7.28979i | 0.206908 | − | 0.238785i | ||||
\(933\) | −1.98026 | + | 0.581456i | −0.0648307 | + | 0.0190360i | ||||
\(934\) | 7.03540 | + | 15.4054i | 0.230205 | + | 0.504079i | ||||
\(935\) | 66.0371 | − | 42.4395i | 2.15964 | − | 1.38792i | ||||
\(936\) | −12.7110 | − | 3.73229i | −0.415472 | − | 0.121994i | ||||
\(937\) | −4.20353 | − | 29.2362i | −0.137323 | − | 0.955104i | −0.935662 | − | 0.352896i | \(-0.885197\pi\) |
0.798339 | − | 0.602208i | \(-0.205712\pi\) | |||||||
\(938\) | 4.13764 | − | 9.06016i | 0.135099 | − | 0.295825i | ||||
\(939\) | −0.445136 | + | 3.09599i | −0.0145265 | + | 0.101034i | ||||
\(940\) | −11.9319 | − | 7.66818i | −0.389176 | − | 0.250108i | ||||
\(941\) | −15.3667 | − | 17.7342i | −0.500941 | − | 0.578117i | 0.447815 | − | 0.894126i | \(-0.352202\pi\) |
−0.948756 | + | 0.316009i | \(0.897657\pi\) | |||||||
\(942\) | −0.180403 | −0.00587785 | ||||||||
\(943\) | 44.5011 | + | 10.2463i | 1.44916 | + | 0.333667i | ||||
\(944\) | −0.363729 | −0.0118384 | ||||||||
\(945\) | −2.11345 | − | 2.43905i | −0.0687504 | − | 0.0793422i | ||||
\(946\) | −24.1598 | − | 15.5266i | −0.785504 | − | 0.504813i | ||||
\(947\) | 3.68225 | − | 25.6106i | 0.119657 | − | 0.832233i | −0.838277 | − | 0.545244i | \(-0.816437\pi\) |
0.957934 | − | 0.286988i | \(-0.0926541\pi\) | |||||||
\(948\) | −0.0894014 | + | 0.195762i | −0.00290362 | + | 0.00635805i | ||||
\(949\) | 4.20681 | + | 29.2590i | 0.136559 | + | 0.949786i | ||||
\(950\) | −33.2705 | − | 9.76911i | −1.07944 | − | 0.316952i | ||||
\(951\) | 2.54185 | − | 1.63355i | 0.0824251 | − | 0.0529714i | ||||
\(952\) | −1.91767 | − | 4.19911i | −0.0621520 | − | 0.136094i | ||||
\(953\) | 22.5871 | − | 6.63218i | 0.731669 | − | 0.214837i | 0.105384 | − | 0.994432i | \(-0.466393\pi\) |
0.626285 | + | 0.779594i | \(0.284575\pi\) | |||||||
\(954\) | −25.8172 | + | 29.7946i | −0.835861 | + | 0.964635i | ||||
\(955\) | −25.7625 | + | 29.7315i | −0.833655 | + | 0.962089i | ||||
\(956\) | 22.3091 | − | 6.55053i | 0.721526 | − | 0.211859i | ||||
\(957\) | 1.76467 | + | 3.86409i | 0.0570437 | + | 0.124908i | ||||
\(958\) | −2.46360 | + | 1.58326i | −0.0795953 | + | 0.0511528i | ||||
\(959\) | 12.3598 | + | 3.62917i | 0.399119 | + | 0.117192i | ||||
\(960\) | −0.0768278 | − | 0.534349i | −0.00247961 | − | 0.0172460i | ||||
\(961\) | 8.03566 | − | 17.5956i | 0.259215 | − | 0.567601i | ||||
\(962\) | 6.53615 | − | 45.4599i | 0.210734 | − | 1.46569i | ||||
\(963\) | −17.2638 | − | 11.0947i | −0.556317 | − | 0.357523i | ||||
\(964\) | −3.90826 | − | 4.51038i | −0.125877 | − | 0.145269i | ||||
\(965\) | −31.2246 | −1.00515 | ||||||||
\(966\) | −0.706030 | + | 0.0419128i | −0.0227161 | + | 0.00134852i | ||||
\(967\) | 26.6022 | 0.855469 | 0.427735 | − | 0.903904i | \(-0.359312\pi\) | ||||
0.427735 | + | 0.903904i | \(0.359312\pi\) | |||||||
\(968\) | −6.92832 | − | 7.99571i | −0.222685 | − | 0.256992i | ||||
\(969\) | 2.36430 | + | 1.51945i | 0.0759524 | + | 0.0488116i | ||||
\(970\) | 8.40171 | − | 58.4352i | 0.269763 | − | 1.87624i | ||||
\(971\) | 18.8779 | − | 41.3369i | 0.605821 | − | 1.32656i | −0.319575 | − | 0.947561i | \(-0.603540\pi\) |
0.925396 | − | 0.379002i | \(-0.123733\pi\) | |||||||
\(972\) | −0.561211 | − | 3.90331i | −0.0180008 | − | 0.125199i | ||||
\(973\) | 6.37372 | + | 1.87149i | 0.204332 | + | 0.0599973i | ||||
\(974\) | −18.1703 | + | 11.6774i | −0.582215 | + | 0.374167i | ||||
\(975\) | −2.28896 | − | 5.01213i | −0.0733054 | − | 0.160516i | ||||
\(976\) | −3.67868 | + | 1.08016i | −0.117752 | + | 0.0345751i | ||||
\(977\) | −2.72569 | + | 3.14561i | −0.0872025 | + | 0.100637i | −0.797674 | − | 0.603089i | \(-0.793936\pi\) |
0.710471 | + | 0.703726i | \(0.248482\pi\) | |||||||
\(978\) | −1.70357 | + | 1.96602i | −0.0544740 | + | 0.0628664i | ||||
\(979\) | −40.6429 | + | 11.9338i | −1.29895 | + | 0.381407i | ||||
\(980\) | 1.52064 | + | 3.32974i | 0.0485752 | + | 0.106365i | ||||
\(981\) | −33.0741 | + | 21.2554i | −1.05597 | + | 0.678633i | ||||
\(982\) | 30.2374 | + | 8.87850i | 0.964914 | + | 0.283324i | ||||
\(983\) | −0.809863 | − | 5.63272i | −0.0258306 | − | 0.179656i | 0.972822 | − | 0.231556i | \(-0.0743815\pi\) |
−0.998652 | + | 0.0518996i | \(0.983472\pi\) | |||||||
\(984\) | −0.583350 | + | 1.27736i | −0.0185965 | + | 0.0407207i | ||||
\(985\) | −2.42455 | + | 16.8631i | −0.0772525 | + | 0.537303i | ||||
\(986\) | 24.0798 | + | 15.4751i | 0.766857 | + | 0.492829i | ||||
\(987\) | −0.374205 | − | 0.431856i | −0.0119111 | − | 0.0137461i | ||||
\(988\) | −18.3628 | −0.584198 | ||||||||
\(989\) | −10.6967 | + | 27.6520i | −0.340135 | + | 0.879282i | ||||
\(990\) | −50.6443 | −1.60958 | ||||||||
\(991\) | 26.5366 | + | 30.6249i | 0.842964 | + | 0.972833i | 0.999891 | − | 0.0147777i | \(-0.00470405\pi\) |
−0.156927 | + | 0.987610i | \(0.550159\pi\) | |||||||
\(992\) | 5.96897 | + | 3.83602i | 0.189515 | + | 0.121794i | ||||
\(993\) | 0.144727 | − | 1.00660i | 0.00459276 | − | 0.0319434i | ||||
\(994\) | 4.24498 | − | 9.29521i | 0.134643 | − | 0.294826i | ||||
\(995\) | −14.5322 | − | 101.074i | −0.460703 | − | 3.20426i | ||||
\(996\) | 0.216293 | + | 0.0635095i | 0.00685352 | + | 0.00201238i | ||||
\(997\) | 19.9269 | − | 12.8062i | 0.631091 | − | 0.405578i | −0.185622 | − | 0.982621i | \(-0.559430\pi\) |
0.816713 | + | 0.577043i | \(0.195794\pi\) | |||||||
\(998\) | −3.78873 | − | 8.29616i | −0.119930 | − | 0.262610i | ||||
\(999\) | 8.73441 | − | 2.56465i | 0.276344 | − | 0.0811420i |
(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 | 322.2.i.d.197.2 | yes | 40 | |
23.4 | even | 11 | 7406.2.a.bu.1.8 | 20 | |||
23.16 | even | 11 | inner | 322.2.i.d.85.2 | ✓ | 40 | |
23.19 | odd | 22 | 7406.2.a.bv.1.8 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.d.85.2 | ✓ | 40 | 23.16 | even | 11 | inner | |
322.2.i.d.197.2 | yes | 40 | 1.1 | even | 1 | trivial | |
7406.2.a.bu.1.8 | 20 | 23.4 | even | 11 | |||
7406.2.a.bv.1.8 | 20 | 23.19 | odd | 22 |