Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(23,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.r (of order \(16\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 170.37 |
Dual form | 170.2.r.b.23.3 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.923880 | + | 0.382683i | 0.653281 | + | 0.270598i | ||||
\(3\) | −0.432293 | + | 0.288849i | −0.249585 | + | 0.166767i | −0.674070 | − | 0.738668i | \(-0.735455\pi\) |
0.424485 | + | 0.905435i | \(0.360455\pi\) | |||||||
\(4\) | 0.707107 | + | 0.707107i | 0.353553 | + | 0.353553i | ||||
\(5\) | 0.601626 | − | 2.15361i | 0.269055 | − | 0.963125i | ||||
\(6\) | −0.509925 | + | 0.101430i | −0.208176 | + | 0.0414087i | ||||
\(7\) | 3.10821 | − | 0.618262i | 1.17479 | − | 0.233681i | 0.431164 | − | 0.902273i | \(-0.358103\pi\) |
0.743629 | + | 0.668592i | \(0.233103\pi\) | |||||||
\(8\) | 0.382683 | + | 0.923880i | 0.135299 | + | 0.326641i | ||||
\(9\) | −1.04461 | + | 2.52190i | −0.348202 | + | 0.840635i | ||||
\(10\) | 1.37998 | − | 1.75945i | 0.436389 | − | 0.556386i | ||||
\(11\) | 0.0548902 | + | 0.275952i | 0.0165500 | + | 0.0832026i | 0.988178 | − | 0.153313i | \(-0.0489944\pi\) |
−0.971628 | + | 0.236516i | \(0.923994\pi\) | |||||||
\(12\) | −0.509925 | − | 0.101430i | −0.147203 | − | 0.0292804i | ||||
\(13\) | −1.43214 | −0.397204 | −0.198602 | − | 0.980080i | \(-0.563640\pi\) | ||||
−0.198602 | + | 0.980080i | \(0.563640\pi\) | |||||||
\(14\) | 3.10821 | + | 0.618262i | 0.830704 | + | 0.165237i | ||||
\(15\) | 0.361990 | + | 1.10477i | 0.0934655 | + | 0.285251i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | −0.813030 | + | 4.04215i | −0.197189 | + | 0.980366i | ||||
\(18\) | −1.93018 | + | 1.93018i | −0.454948 | + | 0.454948i | ||||
\(19\) | −3.00084 | − | 7.24466i | −0.688439 | − | 1.66204i | −0.747902 | − | 0.663809i | \(-0.768939\pi\) |
0.0594624 | − | 0.998231i | \(-0.481061\pi\) | |||||||
\(20\) | 1.94825 | − | 1.09742i | 0.435641 | − | 0.245391i | ||||
\(21\) | −1.16507 | + | 1.16507i | −0.254240 | + | 0.254240i | ||||
\(22\) | −0.0548902 | + | 0.275952i | −0.0117026 | + | 0.0588331i | ||||
\(23\) | −2.71731 | + | 4.06674i | −0.566598 | + | 0.847974i | −0.998545 | − | 0.0539251i | \(-0.982827\pi\) |
0.431947 | + | 0.901899i | \(0.357827\pi\) | |||||||
\(24\) | −0.432293 | − | 0.288849i | −0.0882415 | − | 0.0589611i | ||||
\(25\) | −4.27609 | − | 2.59134i | −0.855219 | − | 0.518268i | ||||
\(26\) | −1.32312 | − | 0.548056i | −0.259486 | − | 0.107483i | ||||
\(27\) | −0.581164 | − | 2.92171i | −0.111845 | − | 0.562283i | ||||
\(28\) | 2.63501 | + | 1.76066i | 0.497971 | + | 0.332734i | ||||
\(29\) | −2.28819 | − | 3.42452i | −0.424906 | − | 0.635917i | 0.555820 | − | 0.831302i | \(-0.312404\pi\) |
−0.980727 | + | 0.195385i | \(0.937404\pi\) | |||||||
\(30\) | −0.0883423 | + | 1.15920i | −0.0161290 | + | 0.211641i | ||||
\(31\) | 1.68579 | − | 8.47506i | 0.302778 | − | 1.52217i | −0.467232 | − | 0.884135i | \(-0.654749\pi\) |
0.770010 | − | 0.638032i | \(-0.220251\pi\) | |||||||
\(32\) | −0.382683 | + | 0.923880i | −0.0676495 | + | 0.163320i | ||||
\(33\) | −0.103437 | − | 0.103437i | −0.0180061 | − | 0.0180061i | ||||
\(34\) | −2.29801 | + | 3.42333i | −0.394105 | + | 0.587096i | ||||
\(35\) | 0.538484 | − | 7.06585i | 0.0910205 | − | 1.19435i | ||||
\(36\) | −2.52190 | + | 1.04461i | −0.420317 | + | 0.174101i | ||||
\(37\) | 4.87479 | + | 7.29563i | 0.801410 | + | 1.19939i | 0.976643 | + | 0.214868i | \(0.0689320\pi\) |
−0.175233 | + | 0.984527i | \(0.556068\pi\) | |||||||
\(38\) | − | 7.84157i | − | 1.27207i | ||||||
\(39\) | 0.619104 | − | 0.413672i | 0.0991360 | − | 0.0662406i | ||||
\(40\) | 2.21991 | − | 0.268322i | 0.350999 | − | 0.0424254i | ||||
\(41\) | −4.80047 | + | 7.18442i | −0.749708 | + | 1.12202i | 0.238833 | + | 0.971061i | \(0.423235\pi\) |
−0.988540 | + | 0.150956i | \(0.951765\pi\) | |||||||
\(42\) | −1.52224 | + | 0.630534i | −0.234887 | + | 0.0972935i | ||||
\(43\) | −6.28878 | + | 2.60490i | −0.959029 | + | 0.397243i | −0.806617 | − | 0.591074i | \(-0.798704\pi\) |
−0.152412 | + | 0.988317i | \(0.548704\pi\) | |||||||
\(44\) | −0.156314 | + | 0.233941i | −0.0235653 | + | 0.0352679i | ||||
\(45\) | 4.80274 | + | 3.76692i | 0.715950 | + | 0.561539i | ||||
\(46\) | −4.06674 | + | 2.71731i | −0.599608 | + | 0.400645i | ||||
\(47\) | 2.58114i | 0.376499i | 0.982121 | + | 0.188249i | \(0.0602813\pi\) | ||||
−0.982121 | + | 0.188249i | \(0.939719\pi\) | |||||||
\(48\) | −0.288849 | − | 0.432293i | −0.0416918 | − | 0.0623961i | ||||
\(49\) | 2.81157 | − | 1.16459i | 0.401653 | − | 0.166370i | ||||
\(50\) | −2.95893 | − | 4.03047i | −0.418456 | − | 0.569995i | ||||
\(51\) | −0.816104 | − | 1.98224i | −0.114277 | − | 0.277569i | ||||
\(52\) | −1.01268 | − | 1.01268i | −0.140433 | − | 0.140433i | ||||
\(53\) | 1.55794 | − | 3.76121i | 0.214000 | − | 0.516641i | −0.780031 | − | 0.625741i | \(-0.784797\pi\) |
0.994031 | + | 0.109100i | \(0.0347967\pi\) | |||||||
\(54\) | 0.581164 | − | 2.92171i | 0.0790864 | − | 0.397594i | ||||
\(55\) | 0.627317 | + | 0.0478075i | 0.0845874 | + | 0.00644636i | ||||
\(56\) | 1.76066 | + | 2.63501i | 0.235278 | + | 0.352119i | ||||
\(57\) | 3.38986 | + | 2.26503i | 0.448997 | + | 0.300010i | ||||
\(58\) | −0.803506 | − | 4.03950i | −0.105505 | − | 0.530412i | ||||
\(59\) | 0.245430 | + | 0.101660i | 0.0319522 | + | 0.0132350i | 0.398602 | − | 0.917124i | \(-0.369495\pi\) |
−0.366650 | + | 0.930359i | \(0.619495\pi\) | |||||||
\(60\) | −0.525225 | + | 1.03716i | −0.0678063 | + | 0.133896i | ||||
\(61\) | 7.53074 | + | 5.03188i | 0.964212 | + | 0.644266i | 0.934752 | − | 0.355300i | \(-0.115621\pi\) |
0.0294596 | + | 0.999566i | \(0.490621\pi\) | |||||||
\(62\) | 4.80074 | − | 7.18481i | 0.609694 | − | 0.912472i | ||||
\(63\) | −1.68766 | + | 8.48445i | −0.212625 | + | 1.06894i | ||||
\(64\) | −0.707107 | + | 0.707107i | −0.0883883 | + | 0.0883883i | ||||
\(65\) | −0.861613 | + | 3.08427i | −0.106870 | + | 0.382557i | ||||
\(66\) | −0.0559798 | − | 0.135147i | −0.00689063 | − | 0.0166355i | ||||
\(67\) | 3.18004 | − | 3.18004i | 0.388504 | − | 0.388504i | −0.485650 | − | 0.874153i | \(-0.661417\pi\) |
0.874153 | + | 0.485650i | \(0.161417\pi\) | |||||||
\(68\) | −3.43313 | + | 2.28333i | −0.416328 | + | 0.276895i | ||||
\(69\) | − | 2.54292i | − | 0.306131i | ||||||
\(70\) | 3.20148 | − | 6.32192i | 0.382650 | − | 0.755614i | ||||
\(71\) | −5.40226 | − | 1.07458i | −0.641131 | − | 0.127529i | −0.136190 | − | 0.990683i | \(-0.543486\pi\) |
−0.504941 | + | 0.863154i | \(0.668486\pi\) | |||||||
\(72\) | −2.72969 | −0.321697 | ||||||||
\(73\) | −2.68909 | − | 0.534893i | −0.314734 | − | 0.0626045i | 0.0351958 | − | 0.999380i | \(-0.488795\pi\) |
−0.349930 | + | 0.936776i | \(0.613795\pi\) | |||||||
\(74\) | 1.71180 | + | 8.60578i | 0.198992 | + | 1.00040i | ||||
\(75\) | 2.59703 | − | 0.114928i | 0.299879 | − | 0.0132707i | ||||
\(76\) | 3.00084 | − | 7.24466i | 0.344220 | − | 0.831020i | ||||
\(77\) | 0.341221 | + | 0.823780i | 0.0388857 | + | 0.0938785i | ||||
\(78\) | 0.730283 | − | 0.145262i | 0.0826883 | − | 0.0164477i | ||||
\(79\) | 10.5371 | − | 2.09596i | 1.18552 | − | 0.235814i | 0.437330 | − | 0.899301i | \(-0.355924\pi\) |
0.748188 | + | 0.663487i | \(0.230924\pi\) | |||||||
\(80\) | 2.15361 | + | 0.601626i | 0.240781 | + | 0.0672638i | ||||
\(81\) | −4.69538 | − | 4.69538i | −0.521709 | − | 0.521709i | ||||
\(82\) | −7.18442 | + | 4.80047i | −0.793386 | + | 0.530124i | ||||
\(83\) | 10.1754 | + | 4.21479i | 1.11690 | + | 0.462633i | 0.863307 | − | 0.504679i | \(-0.168389\pi\) |
0.253589 | + | 0.967312i | \(0.418389\pi\) | |||||||
\(84\) | −1.64766 | −0.179775 | ||||||||
\(85\) | 8.21609 | + | 4.18281i | 0.891160 | + | 0.453690i | ||||
\(86\) | −6.80692 | −0.734009 | ||||||||
\(87\) | 1.97834 | + | 0.819455i | 0.212100 | + | 0.0878547i | ||||
\(88\) | −0.233941 | + | 0.156314i | −0.0249382 | + | 0.0166631i | ||||
\(89\) | −5.32436 | − | 5.32436i | −0.564381 | − | 0.564381i | 0.366168 | − | 0.930549i | \(-0.380670\pi\) |
−0.930549 | + | 0.366168i | \(0.880670\pi\) | |||||||
\(90\) | 2.99562 | + | 5.31811i | 0.315766 | + | 0.560578i | ||||
\(91\) | −4.45139 | + | 0.885437i | −0.466633 | + | 0.0928191i | ||||
\(92\) | −4.79705 | + | 0.954192i | −0.500127 | + | 0.0994814i | ||||
\(93\) | 1.71926 | + | 4.15065i | 0.178279 | + | 0.430403i | ||||
\(94\) | −0.987761 | + | 2.38467i | −0.101880 | + | 0.245960i | ||||
\(95\) | −17.4076 | + | 2.10406i | −1.78598 | + | 0.215872i | ||||
\(96\) | −0.101430 | − | 0.509925i | −0.0103522 | − | 0.0520440i | ||||
\(97\) | 11.7862 | + | 2.34443i | 1.19671 | + | 0.238040i | 0.752933 | − | 0.658097i | \(-0.228638\pi\) |
0.443777 | + | 0.896137i | \(0.353638\pi\) | |||||||
\(98\) | 3.04323 | 0.307412 | ||||||||
\(99\) | −0.753263 | − | 0.149833i | −0.0757058 | − | 0.0150588i | ||||
\(100\) | −1.19130 | − | 4.85601i | −0.119130 | − | 0.485601i | ||||
\(101\) | 0.552545i | 0.0549803i | 0.999622 | + | 0.0274902i | \(0.00875149\pi\) | ||||
−0.999622 | + | 0.0274902i | \(0.991249\pi\) | |||||||
\(102\) | 0.00458741 | − | 2.14366i | 0.000454222 | − | 0.212254i | ||||
\(103\) | 6.78251 | − | 6.78251i | 0.668300 | − | 0.668300i | −0.289022 | − | 0.957322i | \(-0.593330\pi\) |
0.957322 | + | 0.289022i | \(0.0933301\pi\) | |||||||
\(104\) | −0.548056 | − | 1.32312i | −0.0537413 | − | 0.129743i | ||||
\(105\) | 1.80818 | + | 3.21006i | 0.176460 | + | 0.313270i | ||||
\(106\) | 2.87870 | − | 2.87870i | 0.279604 | − | 0.279604i | ||||
\(107\) | 0.620693 | − | 3.12044i | 0.0600047 | − | 0.301664i | −0.939116 | − | 0.343601i | \(-0.888353\pi\) |
0.999120 | + | 0.0419376i | \(0.0133531\pi\) | |||||||
\(108\) | 1.65502 | − | 2.47691i | 0.159254 | − | 0.238340i | ||||
\(109\) | −0.952429 | − | 0.636393i | −0.0912262 | − | 0.0609554i | 0.509121 | − | 0.860695i | \(-0.329971\pi\) |
−0.600347 | + | 0.799740i | \(0.704971\pi\) | |||||||
\(110\) | 0.561270 | + | 0.284232i | 0.0535150 | + | 0.0271005i | ||||
\(111\) | −4.21467 | − | 1.74577i | −0.400039 | − | 0.165702i | ||||
\(112\) | 0.618262 | + | 3.10821i | 0.0584202 | + | 0.293698i | ||||
\(113\) | 13.8927 | + | 9.28282i | 1.30692 | + | 0.873254i | 0.996992 | − | 0.0775070i | \(-0.0246960\pi\) |
0.309925 | + | 0.950761i | \(0.399696\pi\) | |||||||
\(114\) | 2.26503 | + | 3.38986i | 0.212139 | + | 0.317489i | ||||
\(115\) | 7.12338 | + | 8.29869i | 0.664259 | + | 0.773857i | ||||
\(116\) | 0.803506 | − | 4.03950i | 0.0746036 | − | 0.375058i | ||||
\(117\) | 1.49602 | − | 3.61172i | 0.138307 | − | 0.333904i | ||||
\(118\) | 0.187844 | + | 0.187844i | 0.0172924 | + | 0.0172924i | ||||
\(119\) | −0.0279623 | + | 13.0665i | −0.00256330 | + | 1.19781i | ||||
\(120\) | −0.882148 | + | 0.757213i | −0.0805287 | + | 0.0691238i | ||||
\(121\) | 10.0895 | − | 4.17922i | 0.917231 | − | 0.379929i | ||||
\(122\) | 5.03188 | + | 7.53074i | 0.455565 | + | 0.681801i | ||||
\(123\) | − | 4.49239i | − | 0.405065i | ||||||
\(124\) | 7.18481 | − | 4.80074i | 0.645215 | − | 0.431119i | ||||
\(125\) | −8.15335 | + | 7.65003i | −0.729257 | + | 0.684239i | ||||
\(126\) | −4.80605 | + | 7.19277i | −0.428157 | + | 0.640783i | ||||
\(127\) | −3.67225 | + | 1.52109i | −0.325859 | + | 0.134975i | −0.539615 | − | 0.841912i | \(-0.681430\pi\) |
0.213756 | + | 0.976887i | \(0.431430\pi\) | |||||||
\(128\) | −0.923880 | + | 0.382683i | −0.0816602 | + | 0.0338248i | ||||
\(129\) | 1.96617 | − | 2.94259i | 0.173112 | − | 0.259080i | ||||
\(130\) | −1.97633 | + | 2.51977i | −0.173335 | + | 0.220999i | ||||
\(131\) | 13.7925 | − | 9.21586i | 1.20506 | − | 0.805194i | 0.219679 | − | 0.975572i | \(-0.429499\pi\) |
0.985379 | + | 0.170378i | \(0.0544990\pi\) | |||||||
\(132\) | − | 0.146282i | − | 0.0127322i | ||||||
\(133\) | −13.8063 | − | 20.6626i | −1.19716 | − | 1.79168i | ||||
\(134\) | 4.15492 | − | 1.72102i | 0.358931 | − | 0.148674i | ||||
\(135\) | −6.64187 | − | 0.506174i | −0.571641 | − | 0.0435645i | ||||
\(136\) | −4.04559 | + | 0.795722i | −0.346907 | + | 0.0682326i | ||||
\(137\) | −6.80771 | − | 6.80771i | −0.581622 | − | 0.581622i | 0.353727 | − | 0.935349i | \(-0.384914\pi\) |
−0.935349 | + | 0.353727i | \(0.884914\pi\) | |||||||
\(138\) | 0.973132 | − | 2.34935i | 0.0828385 | − | 0.199990i | ||||
\(139\) | 3.44383 | − | 17.3133i | 0.292102 | − | 1.46849i | −0.504196 | − | 0.863590i | \(-0.668211\pi\) |
0.796297 | − | 0.604905i | \(-0.206789\pi\) | |||||||
\(140\) | 5.37707 | − | 4.61554i | 0.454446 | − | 0.390084i | ||||
\(141\) | −0.745561 | − | 1.11581i | −0.0627876 | − | 0.0939683i | ||||
\(142\) | −4.57982 | − | 3.06014i | −0.384330 | − | 0.256801i | ||||
\(143\) | −0.0786105 | − | 0.395202i | −0.00657374 | − | 0.0330484i | ||||
\(144\) | −2.52190 | − | 1.04461i | −0.210159 | − | 0.0870506i | ||||
\(145\) | −8.75172 | + | 2.86760i | −0.726791 | + | 0.238141i | ||||
\(146\) | −2.27970 | − | 1.52325i | −0.188669 | − | 0.126065i | ||||
\(147\) | −0.879033 | + | 1.31557i | −0.0725014 | + | 0.108506i | ||||
\(148\) | −1.71180 | + | 8.60578i | −0.140709 | + | 0.707391i | ||||
\(149\) | −11.9766 | + | 11.9766i | −0.981159 | + | 0.981159i | −0.999826 | − | 0.0186672i | \(-0.994058\pi\) |
0.0186672 | + | 0.999826i | \(0.494058\pi\) | |||||||
\(150\) | 2.44332 | + | 0.887662i | 0.199497 | + | 0.0724773i | ||||
\(151\) | 2.46519 | + | 5.95150i | 0.200614 | + | 0.484326i | 0.991885 | − | 0.127140i | \(-0.0405799\pi\) |
−0.791270 | + | 0.611467i | \(0.790580\pi\) | |||||||
\(152\) | 5.54483 | − | 5.54483i | 0.449745 | − | 0.449745i | ||||
\(153\) | −9.34462 | − | 6.27284i | −0.755468 | − | 0.507129i | ||||
\(154\) | 0.891653i | 0.0718515i | ||||||||
\(155\) | −17.2378 | − | 8.72937i | −1.38457 | − | 0.701160i | ||||
\(156\) | 0.730283 | + | 0.145262i | 0.0584695 | + | 0.0116303i | ||||
\(157\) | −23.2412 | −1.85485 | −0.927423 | − | 0.374014i | \(-0.877981\pi\) | ||||
−0.927423 | + | 0.374014i | \(0.877981\pi\) | |||||||
\(158\) | 10.5371 | + | 2.09596i | 0.838288 | + | 0.166746i | ||||
\(159\) | 0.412933 | + | 2.07595i | 0.0327477 | + | 0.164634i | ||||
\(160\) | 1.75945 | + | 1.37998i | 0.139096 | + | 0.109097i | ||||
\(161\) | −5.93166 | + | 14.3203i | −0.467480 | + | 1.12860i | ||||
\(162\) | −2.54112 | − | 6.13481i | −0.199649 | − | 0.481996i | ||||
\(163\) | 9.71102 | − | 1.93164i | 0.760626 | − | 0.151298i | 0.200487 | − | 0.979696i | \(-0.435748\pi\) |
0.560139 | + | 0.828398i | \(0.310748\pi\) | |||||||
\(164\) | −8.47460 | + | 1.68570i | −0.661755 | + | 0.131631i | ||||
\(165\) | −0.284994 | + | 0.160533i | −0.0221867 | + | 0.0124975i | ||||
\(166\) | 7.78792 | + | 7.78792i | 0.604460 | + | 0.604460i | ||||
\(167\) | −5.83007 | + | 3.89552i | −0.451144 | + | 0.301445i | −0.760307 | − | 0.649564i | \(-0.774951\pi\) |
0.309163 | + | 0.951009i | \(0.399951\pi\) | |||||||
\(168\) | −1.52224 | − | 0.630534i | −0.117444 | − | 0.0486467i | ||||
\(169\) | −10.9490 | −0.842229 | ||||||||
\(170\) | 5.98998 | + | 7.00858i | 0.459410 | + | 0.537533i | ||||
\(171\) | 21.4050 | 1.63688 | ||||||||
\(172\) | −6.28878 | − | 2.60490i | −0.479515 | − | 0.198621i | ||||
\(173\) | 4.01024 | − | 2.67956i | 0.304893 | − | 0.203723i | −0.393706 | − | 0.919236i | \(-0.628807\pi\) |
0.698599 | + | 0.715514i | \(0.253807\pi\) | |||||||
\(174\) | 1.51415 | + | 1.51415i | 0.114788 | + | 0.114788i | ||||
\(175\) | −14.8931 | − | 5.41068i | −1.12581 | − | 0.409009i | ||||
\(176\) | −0.275952 | + | 0.0548902i | −0.0208007 | + | 0.00413751i | ||||
\(177\) | −0.135462 | + | 0.0269451i | −0.0101820 | + | 0.00202532i | ||||
\(178\) | −2.88152 | − | 6.95661i | −0.215979 | − | 0.521420i | ||||
\(179\) | −6.12646 | + | 14.7906i | −0.457913 | + | 1.10550i | 0.511327 | + | 0.859386i | \(0.329154\pi\) |
−0.969241 | + | 0.246115i | \(0.920846\pi\) | |||||||
\(180\) | 0.732435 | + | 6.05967i | 0.0545925 | + | 0.451661i | ||||
\(181\) | 0.409658 | + | 2.05949i | 0.0304496 | + | 0.153081i | 0.993019 | − | 0.117955i | \(-0.0376339\pi\) |
−0.962569 | + | 0.271036i | \(0.912634\pi\) | |||||||
\(182\) | −4.45139 | − | 0.885437i | −0.329959 | − | 0.0656330i | ||||
\(183\) | −4.70894 | −0.348095 | ||||||||
\(184\) | −4.79705 | − | 0.954192i | −0.353643 | − | 0.0703440i | ||||
\(185\) | 18.6448 | − | 6.10916i | 1.37079 | − | 0.449154i | ||||
\(186\) | 4.49263i | 0.329416i | ||||||||
\(187\) | −1.16007 | − | 0.00248253i | −0.0848325 | − | 0.000181541i | ||||
\(188\) | −1.82514 | + | 1.82514i | −0.133112 | + | 0.133112i | ||||
\(189\) | −3.61276 | − | 8.72198i | −0.262790 | − | 0.634431i | ||||
\(190\) | −16.8877 | − | 4.71769i | −1.22516 | − | 0.342257i | ||||
\(191\) | 2.01607 | − | 2.01607i | 0.145878 | − | 0.145878i | −0.630396 | − | 0.776274i | \(-0.717107\pi\) |
0.776274 | + | 0.630396i | \(0.217107\pi\) | |||||||
\(192\) | 0.101430 | − | 0.509925i | 0.00732010 | − | 0.0368006i | ||||
\(193\) | −6.57450 | + | 9.83943i | −0.473243 | + | 0.708258i | −0.988907 | − | 0.148533i | \(-0.952545\pi\) |
0.515665 | + | 0.856790i | \(0.327545\pi\) | |||||||
\(194\) | 9.99188 | + | 6.67636i | 0.717375 | + | 0.479335i | ||||
\(195\) | −0.518421 | − | 1.58219i | −0.0371249 | − | 0.113303i | ||||
\(196\) | 2.81157 | + | 1.16459i | 0.200827 | + | 0.0831852i | ||||
\(197\) | −1.77019 | − | 8.89932i | −0.126120 | − | 0.634051i | −0.991195 | − | 0.132408i | \(-0.957729\pi\) |
0.865075 | − | 0.501643i | \(-0.167271\pi\) | |||||||
\(198\) | −0.638585 | − | 0.426689i | −0.0453823 | − | 0.0303235i | ||||
\(199\) | −6.94256 | − | 10.3903i | −0.492145 | − | 0.736547i | 0.499391 | − | 0.866377i | \(-0.333557\pi\) |
−0.991536 | + | 0.129829i | \(0.958557\pi\) | |||||||
\(200\) | 0.757694 | − | 4.94226i | 0.0535771 | − | 0.349470i | ||||
\(201\) | −0.456158 | + | 2.29326i | −0.0321749 | + | 0.161754i | ||||
\(202\) | −0.211450 | + | 0.510485i | −0.0148776 | + | 0.0359176i | ||||
\(203\) | −9.22943 | − | 9.22943i | −0.647779 | − | 0.647779i | ||||
\(204\) | 0.824581 | − | 1.97873i | 0.0577322 | − | 0.138539i | ||||
\(205\) | 12.5844 | + | 14.6607i | 0.878930 | + | 1.02395i | ||||
\(206\) | 8.86178 | − | 3.67067i | 0.617429 | − | 0.255748i | ||||
\(207\) | −7.41741 | − | 11.1009i | −0.515546 | − | 0.771568i | ||||
\(208\) | − | 1.43214i | − | 0.0993010i | ||||||
\(209\) | 1.83446 | − | 1.22575i | 0.126892 | − | 0.0847868i | ||||
\(210\) | 0.442104 | + | 3.65767i | 0.0305081 | + | 0.252403i | ||||
\(211\) | 4.13582 | − | 6.18970i | 0.284722 | − | 0.426116i | −0.661348 | − | 0.750079i | \(-0.730015\pi\) |
0.946070 | + | 0.323963i | \(0.105015\pi\) | |||||||
\(212\) | 3.76121 | − | 1.55794i | 0.258321 | − | 0.107000i | ||||
\(213\) | 2.64575 | − | 1.09591i | 0.181284 | − | 0.0750903i | ||||
\(214\) | 1.76758 | − | 2.64538i | 0.120830 | − | 0.180834i | ||||
\(215\) | 1.82645 | + | 15.1108i | 0.124563 | + | 1.03055i | ||||
\(216\) | 2.47691 | − | 1.65502i | 0.168532 | − | 0.112610i | ||||
\(217\) | − | 27.3846i | − | 1.85898i | ||||||
\(218\) | −0.636393 | − | 0.952429i | −0.0431020 | − | 0.0645067i | ||||
\(219\) | 1.31698 | − | 0.545510i | 0.0889931 | − | 0.0368622i | ||||
\(220\) | 0.409775 | + | 0.477385i | 0.0276270 | + | 0.0321853i | ||||
\(221\) | 1.16437 | − | 5.78893i | 0.0783242 | − | 0.389405i | ||||
\(222\) | −3.22577 | − | 3.22577i | −0.216500 | − | 0.216500i | ||||
\(223\) | −7.09037 | + | 17.1177i | −0.474806 | + | 1.14628i | 0.487208 | + | 0.873286i | \(0.338015\pi\) |
−0.962015 | + | 0.272998i | \(0.911985\pi\) | |||||||
\(224\) | −0.618262 | + | 3.10821i | −0.0413093 | + | 0.207676i | ||||
\(225\) | 11.0019 | − | 8.07696i | 0.733463 | − | 0.538464i | ||||
\(226\) | 9.28282 | + | 13.8927i | 0.617484 | + | 0.924130i | ||||
\(227\) | −2.95443 | − | 1.97408i | −0.196092 | − | 0.131025i | 0.453648 | − | 0.891181i | \(-0.350122\pi\) |
−0.649740 | + | 0.760156i | \(0.725122\pi\) | |||||||
\(228\) | 0.795373 | + | 3.99861i | 0.0526748 | + | 0.264814i | ||||
\(229\) | 25.8965 | + | 10.7267i | 1.71129 | + | 0.708840i | 0.999982 | + | 0.00596086i | \(0.00189741\pi\) |
0.711309 | + | 0.702879i | \(0.248103\pi\) | |||||||
\(230\) | 3.40537 | + | 10.3930i | 0.224544 | + | 0.685293i | ||||
\(231\) | −0.385456 | − | 0.257553i | −0.0253611 | − | 0.0169458i | ||||
\(232\) | 2.28819 | − | 3.42452i | 0.150227 | − | 0.224831i | ||||
\(233\) | 2.12487 | − | 10.6825i | 0.139205 | − | 0.699831i | −0.846639 | − | 0.532167i | \(-0.821378\pi\) |
0.985844 | − | 0.167664i | \(-0.0536223\pi\) | |||||||
\(234\) | 2.76429 | − | 2.76429i | 0.180707 | − | 0.180707i | ||||
\(235\) | 5.55878 | + | 1.55288i | 0.362615 | + | 0.101299i | ||||
\(236\) | 0.101660 | + | 0.245430i | 0.00661752 | + | 0.0159761i | ||||
\(237\) | −3.94971 | + | 3.94971i | −0.256561 | + | 0.256561i | ||||
\(238\) | −5.02618 | + | 12.0612i | −0.325799 | + | 0.781811i | ||||
\(239\) | 19.6237i | 1.26935i | 0.772778 | + | 0.634677i | \(0.218867\pi\) | ||||
−0.772778 | + | 0.634677i | \(0.781133\pi\) | |||||||
\(240\) | −1.10477 | + | 0.361990i | −0.0713127 | + | 0.0233664i | ||||
\(241\) | 8.89550 | + | 1.76942i | 0.573009 | + | 0.113979i | 0.473086 | − | 0.881016i | \(-0.343140\pi\) |
0.0999238 | + | 0.994995i | \(0.468140\pi\) | |||||||
\(242\) | 10.9208 | 0.702018 | ||||||||
\(243\) | 12.1512 | + | 2.41702i | 0.779497 | + | 0.155052i | ||||
\(244\) | 1.76696 | + | 8.88311i | 0.113118 | + | 0.568683i | ||||
\(245\) | −0.816564 | − | 6.75569i | −0.0521684 | − | 0.431605i | ||||
\(246\) | 1.71916 | − | 4.15042i | 0.109610 | − | 0.264621i | ||||
\(247\) | 4.29762 | + | 10.3754i | 0.273451 | + | 0.660169i | ||||
\(248\) | 8.47506 | − | 1.68579i | 0.538167 | − | 0.107048i | ||||
\(249\) | −5.61620 | + | 1.11713i | −0.355912 | + | 0.0707953i | ||||
\(250\) | −10.4602 | + | 3.94756i | −0.661564 | + | 0.249665i | ||||
\(251\) | −3.29703 | − | 3.29703i | −0.208107 | − | 0.208107i | 0.595356 | − | 0.803462i | \(-0.297011\pi\) |
−0.803462 | + | 0.595356i | \(0.797011\pi\) | |||||||
\(252\) | −7.19277 | + | 4.80605i | −0.453102 | + | 0.302753i | ||||
\(253\) | −1.27138 | − | 0.526622i | −0.0799309 | − | 0.0331085i | ||||
\(254\) | −3.97481 | −0.249402 | ||||||||
\(255\) | −4.75996 | + | 0.565007i | −0.298080 | + | 0.0353821i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 20.6537 | + | 8.55506i | 1.28834 | + | 0.533650i | 0.918492 | − | 0.395440i | \(-0.129408\pi\) |
0.369853 | + | 0.929090i | \(0.379408\pi\) | |||||||
\(258\) | 2.94259 | − | 1.96617i | 0.183197 | − | 0.122409i | ||||
\(259\) | 19.6625 | + | 19.6625i | 1.22177 | + | 1.22177i | ||||
\(260\) | −2.79016 | + | 1.57166i | −0.173039 | + | 0.0974702i | ||||
\(261\) | 11.0266 | − | 2.19332i | 0.682527 | − | 0.135763i | ||||
\(262\) | 16.2694 | − | 3.23618i | 1.00513 | − | 0.199932i | ||||
\(263\) | −2.88120 | − | 6.95582i | −0.177662 | − | 0.428914i | 0.809813 | − | 0.586688i | \(-0.199568\pi\) |
−0.987475 | + | 0.157773i | \(0.949568\pi\) | |||||||
\(264\) | 0.0559798 | − | 0.135147i | 0.00344532 | − | 0.00831773i | ||||
\(265\) | −7.16288 | − | 5.61804i | −0.440012 | − | 0.345114i | ||||
\(266\) | −4.84814 | − | 24.3733i | −0.297259 | − | 1.49442i | ||||
\(267\) | 3.83962 | + | 0.763748i | 0.234981 | + | 0.0467406i | ||||
\(268\) | 4.49725 | 0.274714 | ||||||||
\(269\) | −1.80072 | − | 0.358185i | −0.109792 | − | 0.0218389i | 0.139889 | − | 0.990167i | \(-0.455326\pi\) |
−0.249680 | + | 0.968328i | \(0.580326\pi\) | |||||||
\(270\) | −5.94259 | − | 3.00938i | −0.361654 | − | 0.183145i | ||||
\(271\) | 5.86153i | 0.356062i | 0.984025 | + | 0.178031i | \(0.0569728\pi\) | ||||
−0.984025 | + | 0.178031i | \(0.943027\pi\) | |||||||
\(272\) | −4.04215 | − | 0.813030i | −0.245091 | − | 0.0492972i | ||||
\(273\) | 1.66855 | − | 1.66855i | 0.100985 | − | 0.100985i | ||||
\(274\) | −3.68431 | − | 8.89470i | −0.222577 | − | 0.537349i | ||||
\(275\) | 0.480369 | − | 1.32224i | 0.0289673 | − | 0.0797338i | ||||
\(276\) | 1.79811 | − | 1.79811i | 0.108234 | − | 0.108234i | ||||
\(277\) | 0.787053 | − | 3.95678i | 0.0472894 | − | 0.237740i | −0.949910 | − | 0.312522i | \(-0.898826\pi\) |
0.997200 | + | 0.0747822i | \(0.0238262\pi\) | |||||||
\(278\) | 9.80720 | − | 14.6775i | 0.588197 | − | 0.880298i | ||||
\(279\) | 19.6123 | + | 13.1045i | 1.17416 | + | 0.784547i | ||||
\(280\) | 6.73406 | − | 2.20649i | 0.402437 | − | 0.131863i | ||||
\(281\) | −18.0318 | − | 7.46903i | −1.07569 | − | 0.445565i | −0.226694 | − | 0.973966i | \(-0.572792\pi\) |
−0.848995 | + | 0.528401i | \(0.822792\pi\) | |||||||
\(282\) | −0.261806 | − | 1.31619i | −0.0155903 | − | 0.0783779i | ||||
\(283\) | 13.9258 | + | 9.30491i | 0.827802 | + | 0.553119i | 0.895744 | − | 0.444570i | \(-0.146643\pi\) |
−0.0679424 | + | 0.997689i | \(0.521643\pi\) | |||||||
\(284\) | −3.06014 | − | 4.57982i | −0.181586 | − | 0.271762i | ||||
\(285\) | 6.91742 | − | 5.93774i | 0.409753 | − | 0.351721i | ||||
\(286\) | 0.0786105 | − | 0.395202i | 0.00464834 | − | 0.0233688i | ||||
\(287\) | −10.4790 | + | 25.2986i | −0.618558 | + | 1.49333i | ||||
\(288\) | −1.93018 | − | 1.93018i | −0.113737 | − | 0.113737i | ||||
\(289\) | −15.6780 | − | 6.57278i | −0.922233 | − | 0.386634i | ||||
\(290\) | −9.18292 | − | 0.699825i | −0.539239 | − | 0.0410952i | ||||
\(291\) | −5.77229 | + | 2.39096i | −0.338378 | + | 0.140161i | ||||
\(292\) | −1.52325 | − | 2.27970i | −0.0891412 | − | 0.133409i | ||||
\(293\) | 3.65783i | 0.213693i | 0.994276 | + | 0.106846i | \(0.0340753\pi\) | ||||
−0.994276 | + | 0.106846i | \(0.965925\pi\) | |||||||
\(294\) | −1.31557 | + | 0.879033i | −0.0767254 | + | 0.0512663i | ||||
\(295\) | 0.366594 | − | 0.467399i | 0.0213439 | − | 0.0272130i | ||||
\(296\) | −4.87479 | + | 7.29563i | −0.283341 | + | 0.424050i | ||||
\(297\) | 0.774351 | − | 0.320747i | 0.0449324 | − | 0.0186116i | ||||
\(298\) | −15.6481 | + | 6.48167i | −0.906472 | + | 0.375473i | ||||
\(299\) | 3.89157 | − | 5.82414i | 0.225055 | − | 0.336819i | ||||
\(300\) | 1.91764 | + | 1.75511i | 0.110715 | + | 0.101331i | ||||
\(301\) | −17.9363 | + | 11.9847i | −1.03383 | + | 0.690785i | ||||
\(302\) | 6.44185i | 0.370687i | ||||||||
\(303\) | −0.159602 | − | 0.238862i | −0.00916891 | − | 0.0137222i | ||||
\(304\) | 7.24466 | − | 3.00084i | 0.415510 | − | 0.172110i | ||||
\(305\) | 15.3674 | − | 13.1910i | 0.879935 | − | 0.755313i | ||||
\(306\) | −6.23279 | − | 9.37138i | −0.356305 | − | 0.535726i | ||||
\(307\) | −12.9665 | − | 12.9665i | −0.740039 | − | 0.740039i | 0.232546 | − | 0.972585i | \(-0.425294\pi\) |
−0.972585 | + | 0.232546i | \(0.925294\pi\) | |||||||
\(308\) | −0.341221 | + | 0.823780i | −0.0194429 | + | 0.0469392i | ||||
\(309\) | −0.972911 | + | 4.89115i | −0.0553470 | + | 0.278248i | ||||
\(310\) | −12.5851 | − | 14.6615i | −0.714783 | − | 0.832717i | ||||
\(311\) | −3.27407 | − | 4.90000i | −0.185656 | − | 0.277853i | 0.726953 | − | 0.686687i | \(-0.240936\pi\) |
−0.912609 | + | 0.408834i | \(0.865936\pi\) | |||||||
\(312\) | 0.619104 | + | 0.413672i | 0.0350499 | + | 0.0234196i | ||||
\(313\) | −1.06893 | − | 5.37387i | −0.0604195 | − | 0.303749i | 0.938745 | − | 0.344612i | \(-0.111989\pi\) |
−0.999165 | + | 0.0408625i | \(0.986989\pi\) | |||||||
\(314\) | −21.4720 | − | 8.89401i | −1.21174 | − | 0.501918i | ||||
\(315\) | 17.2569 | + | 8.73903i | 0.972315 | + | 0.492389i | ||||
\(316\) | 8.93293 | + | 5.96880i | 0.502517 | + | 0.335771i | ||||
\(317\) | 13.2485 | − | 19.8279i | 0.744113 | − | 1.11364i | −0.245432 | − | 0.969414i | \(-0.578930\pi\) |
0.989544 | − | 0.144229i | \(-0.0460703\pi\) | |||||||
\(318\) | −0.412933 | + | 2.07595i | −0.0231561 | + | 0.116414i | ||||
\(319\) | 0.819403 | − | 0.819403i | 0.0458778 | − | 0.0458778i | ||||
\(320\) | 1.09742 | + | 1.94825i | 0.0613477 | + | 0.108910i | ||||
\(321\) | 0.633013 | + | 1.52823i | 0.0353314 | + | 0.0852975i | ||||
\(322\) | −10.9603 | + | 10.9603i | −0.610793 | + | 0.610793i | ||||
\(323\) | 31.7238 | − | 6.23971i | 1.76516 | − | 0.347187i | ||||
\(324\) | − | 6.64027i | − | 0.368904i | ||||||
\(325\) | 6.12396 | + | 3.71116i | 0.339696 | + | 0.205858i | ||||
\(326\) | 9.71102 | + | 1.93164i | 0.537844 | + | 0.106984i | ||||
\(327\) | 0.595550 | 0.0329340 | ||||||||
\(328\) | −8.47460 | − | 1.68570i | −0.467931 | − | 0.0930773i | ||||
\(329\) | 1.59582 | + | 8.02274i | 0.0879806 | + | 0.442308i | ||||
\(330\) | −0.324733 | + | 0.0392507i | −0.0178760 | + | 0.00216068i | ||||
\(331\) | −5.29422 | + | 12.7814i | −0.290997 | + | 0.702528i | −0.999996 | − | 0.00268048i | \(-0.999147\pi\) |
0.709000 | + | 0.705209i | \(0.249147\pi\) | |||||||
\(332\) | 4.21479 | + | 10.1754i | 0.231317 | + | 0.558448i | ||||
\(333\) | −23.4911 | + | 4.67267i | −1.28731 | + | 0.256061i | ||||
\(334\) | −6.87703 | + | 1.36793i | −0.376294 | + | 0.0748496i | ||||
\(335\) | −4.93538 | − | 8.76177i | −0.269649 | − | 0.478706i | ||||
\(336\) | −1.16507 | − | 1.16507i | −0.0635600 | − | 0.0635600i | ||||
\(337\) | −2.80590 | + | 1.87485i | −0.152847 | + | 0.102129i | −0.629642 | − | 0.776885i | \(-0.716798\pi\) |
0.476795 | + | 0.879015i | \(0.341798\pi\) | |||||||
\(338\) | −10.1155 | − | 4.18999i | −0.550213 | − | 0.227905i | ||||
\(339\) | −8.68706 | −0.471816 | ||||||||
\(340\) | 2.85195 | + | 8.76735i | 0.154669 | + | 0.475476i | ||||
\(341\) | 2.43124 | 0.131659 | ||||||||
\(342\) | 19.7757 | + | 8.19135i | 1.06935 | + | 0.442938i | ||||
\(343\) | −10.4262 | + | 6.96653i | −0.562960 | + | 0.376158i | ||||
\(344\) | −4.81322 | − | 4.81322i | −0.259511 | − | 0.259511i | ||||
\(345\) | −5.47646 | − | 1.52988i | −0.294842 | − | 0.0823662i | ||||
\(346\) | 4.73040 | − | 0.940935i | 0.254308 | − | 0.0505850i | ||||
\(347\) | −26.8852 | + | 5.34779i | −1.44327 | + | 0.287084i | −0.853756 | − | 0.520673i | \(-0.825681\pi\) |
−0.589515 | + | 0.807758i | \(0.700681\pi\) | |||||||
\(348\) | 0.819455 | + | 1.97834i | 0.0439274 | + | 0.106050i | ||||
\(349\) | 10.2086 | − | 24.6458i | 0.546455 | − | 1.31926i | −0.373644 | − | 0.927572i | \(-0.621892\pi\) |
0.920099 | − | 0.391686i | \(-0.128108\pi\) | |||||||
\(350\) | −11.6889 | − | 10.6982i | −0.624797 | − | 0.571841i | ||||
\(351\) | 0.832308 | + | 4.18430i | 0.0444253 | + | 0.223341i | ||||
\(352\) | −0.275952 | − | 0.0548902i | −0.0147083 | − | 0.00292566i | ||||
\(353\) | 17.8565 | 0.950404 | 0.475202 | − | 0.879877i | \(-0.342375\pi\) | ||||
0.475202 | + | 0.879877i | \(0.342375\pi\) | |||||||
\(354\) | −0.135462 | − | 0.0269451i | −0.00719973 | − | 0.00143212i | ||||
\(355\) | −5.56436 | + | 10.9879i | −0.295326 | + | 0.583176i | ||||
\(356\) | − | 7.52978i | − | 0.399078i | ||||||
\(357\) | −3.76217 | − | 5.65665i | −0.199115 | − | 0.299381i | ||||
\(358\) | −11.3202 | + | 11.3202i | −0.598293 | + | 0.598293i | ||||
\(359\) | −4.97569 | − | 12.0124i | −0.262607 | − | 0.633988i | 0.736492 | − | 0.676447i | \(-0.236481\pi\) |
−0.999098 | + | 0.0424582i | \(0.986481\pi\) | |||||||
\(360\) | −1.64225 | + | 5.87869i | −0.0865543 | + | 0.309834i | ||||
\(361\) | −30.0451 | + | 30.0451i | −1.58132 | + | 1.58132i | ||||
\(362\) | −0.409658 | + | 2.05949i | −0.0215311 | + | 0.108244i | ||||
\(363\) | −3.15447 | + | 4.72100i | −0.165567 | + | 0.247788i | ||||
\(364\) | −3.77371 | − | 2.52151i | −0.197796 | − | 0.132163i | ||||
\(365\) | −2.76978 | + | 5.46945i | −0.144977 | + | 0.286284i | ||||
\(366\) | −4.35049 | − | 1.80203i | −0.227404 | − | 0.0941938i | ||||
\(367\) | 6.99762 | + | 35.1794i | 0.365273 | + | 1.83635i | 0.527446 | + | 0.849589i | \(0.323150\pi\) |
−0.162173 | + | 0.986762i | \(0.551850\pi\) | |||||||
\(368\) | −4.06674 | − | 2.71731i | −0.211993 | − | 0.141650i | ||||
\(369\) | −13.1038 | − | 19.6112i | −0.682156 | − | 1.02092i | ||||
\(370\) | 19.5634 | + | 1.49092i | 1.01705 | + | 0.0775090i | ||||
\(371\) | 2.51701 | − | 12.6538i | 0.130676 | − | 0.656955i | ||||
\(372\) | −1.71926 | + | 4.15065i | −0.0891393 | + | 0.215201i | ||||
\(373\) | −1.37923 | − | 1.37923i | −0.0714140 | − | 0.0714140i | 0.670498 | − | 0.741912i | \(-0.266081\pi\) |
−0.741912 | + | 0.670498i | \(0.766081\pi\) | |||||||
\(374\) | −1.07081 | − | 0.446232i | −0.0553704 | − | 0.0230741i | ||||
\(375\) | 1.31493 | − | 5.66214i | 0.0679028 | − | 0.292392i | ||||
\(376\) | −2.38467 | + | 0.987761i | −0.122980 | + | 0.0509399i | ||||
\(377\) | 3.27701 | + | 4.90439i | 0.168775 | + | 0.252589i | ||||
\(378\) | − | 9.44060i | − | 0.485572i | ||||||
\(379\) | −4.91960 | + | 3.28717i | −0.252703 | + | 0.168851i | −0.675469 | − | 0.737388i | \(-0.736059\pi\) |
0.422767 | + | 0.906239i | \(0.361059\pi\) | |||||||
\(380\) | −13.7968 | − | 10.8212i | −0.707762 | − | 0.555117i | ||||
\(381\) | 1.14812 | − | 1.71828i | 0.0588200 | − | 0.0880303i | ||||
\(382\) | 2.63413 | − | 1.09109i | 0.134774 | − | 0.0558250i | ||||
\(383\) | −0.642841 | + | 0.266273i | −0.0328476 | + | 0.0136059i | −0.399047 | − | 0.916931i | \(-0.630659\pi\) |
0.366199 | + | 0.930537i | \(0.380659\pi\) | |||||||
\(384\) | 0.288849 | − | 0.432293i | 0.0147403 | − | 0.0220604i | ||||
\(385\) | 1.97939 | − | 0.239250i | 0.100879 | − | 0.0121933i | ||||
\(386\) | −9.83943 | + | 6.57450i | −0.500814 | + | 0.334633i | ||||
\(387\) | − | 18.5808i | − | 0.944514i | ||||||
\(388\) | 6.67636 | + | 9.99188i | 0.338941 | + | 0.507261i | ||||
\(389\) | 6.98147 | − | 2.89182i | 0.353975 | − | 0.146621i | −0.198608 | − | 0.980079i | \(-0.563642\pi\) |
0.552583 | + | 0.833458i | \(0.313642\pi\) | |||||||
\(390\) | 0.126518 | − | 1.66014i | 0.00640651 | − | 0.0840645i | ||||
\(391\) | −14.2291 | − | 14.2902i | −0.719598 | − | 0.722684i | ||||
\(392\) | 2.15189 | + | 2.15189i | 0.108687 | + | 0.108687i | ||||
\(393\) | −3.30042 | + | 7.96791i | −0.166484 | + | 0.401928i | ||||
\(394\) | 1.77019 | − | 8.89932i | 0.0891807 | − | 0.448341i | ||||
\(395\) | 1.82551 | − | 23.9538i | 0.0918514 | − | 1.20525i | ||||
\(396\) | −0.426689 | − | 0.638585i | −0.0214419 | − | 0.0320901i | ||||
\(397\) | −13.9097 | − | 9.29416i | −0.698107 | − | 0.466460i | 0.155190 | − | 0.987885i | \(-0.450401\pi\) |
−0.853298 | + | 0.521424i | \(0.825401\pi\) | |||||||
\(398\) | −2.43790 | − | 12.2562i | −0.122201 | − | 0.614346i | ||||
\(399\) | 11.9368 | + | 4.94437i | 0.597586 | + | 0.247528i | ||||
\(400\) | 2.59134 | − | 4.27609i | 0.129567 | − | 0.213805i | ||||
\(401\) | 15.1205 | + | 10.1032i | 0.755081 | + | 0.504529i | 0.872536 | − | 0.488549i | \(-0.162474\pi\) |
−0.117455 | + | 0.993078i | \(0.537474\pi\) | |||||||
\(402\) | −1.29903 | + | 1.94413i | −0.0647896 | + | 0.0969645i | ||||
\(403\) | −2.41429 | + | 12.1375i | −0.120265 | + | 0.604611i | ||||
\(404\) | −0.390709 | + | 0.390709i | −0.0194385 | + | 0.0194385i | ||||
\(405\) | −12.9369 | + | 7.28716i | −0.642839 | + | 0.362102i | ||||
\(406\) | −4.99493 | − | 12.0588i | −0.247894 | − | 0.598470i | ||||
\(407\) | −1.74567 | + | 1.74567i | −0.0865294 | + | 0.0865294i | ||||
\(408\) | 1.51904 | − | 1.51255i | 0.0752036 | − | 0.0748824i | ||||
\(409\) | 21.8191i | 1.07888i | 0.842023 | + | 0.539441i | \(0.181365\pi\) | ||||
−0.842023 | + | 0.539441i | \(0.818635\pi\) | |||||||
\(410\) | 6.01603 | + | 18.3605i | 0.297110 | + | 0.906762i | ||||
\(411\) | 4.90933 | + | 0.976526i | 0.242159 | + | 0.0481685i | ||||
\(412\) | 9.59192 | 0.472560 | ||||||||
\(413\) | 0.825700 | + | 0.164242i | 0.0406300 | + | 0.00808182i | ||||
\(414\) | −2.60465 | − | 13.0944i | −0.128011 | − | 0.643557i | ||||
\(415\) | 15.1988 | − | 19.3782i | 0.746080 | − | 0.951236i | ||||
\(416\) | 0.548056 | − | 1.32312i | 0.0268707 | − | 0.0648715i | ||||
\(417\) | 3.51219 | + | 8.47917i | 0.171993 | + | 0.415227i | ||||
\(418\) | 2.16390 | − | 0.430426i | 0.105840 | − | 0.0210528i | ||||
\(419\) | −32.9487 | + | 6.55391i | −1.60965 | + | 0.320180i | −0.916322 | − | 0.400442i | \(-0.868857\pi\) |
−0.693329 | + | 0.720621i | \(0.743857\pi\) | |||||||
\(420\) | −0.991277 | + | 3.54843i | −0.0483694 | + | 0.173146i | ||||
\(421\) | −26.9660 | − | 26.9660i | −1.31424 | − | 1.31424i | −0.918257 | − | 0.395985i | \(-0.870403\pi\) |
−0.395985 | − | 0.918257i | \(-0.629597\pi\) | |||||||
\(422\) | 6.18970 | − | 4.13582i | 0.301310 | − | 0.201329i | ||||
\(423\) | −6.50940 | − | 2.69628i | −0.316498 | − | 0.131098i | ||||
\(424\) | 4.07110 | 0.197710 | ||||||||
\(425\) | 13.9512 | − | 15.1778i | 0.676731 | − | 0.736230i | ||||
\(426\) | 2.86374 | 0.138749 | ||||||||
\(427\) | 26.5181 | + | 10.9842i | 1.28330 | + | 0.531561i | ||||
\(428\) | 2.64538 | − | 1.76758i | 0.127869 | − | 0.0854394i | ||||
\(429\) | 0.148136 | + | 0.148136i | 0.00715210 | + | 0.00715210i | ||||
\(430\) | −4.09522 | + | 14.6595i | −0.197489 | + | 0.706942i | ||||
\(431\) | 17.5932 | − | 3.49951i | 0.847436 | − | 0.168565i | 0.247773 | − | 0.968818i | \(-0.420301\pi\) |
0.599663 | + | 0.800253i | \(0.295301\pi\) | |||||||
\(432\) | 2.92171 | − | 0.581164i | 0.140571 | − | 0.0279613i | ||||
\(433\) | −13.3295 | − | 32.1803i | −0.640576 | − | 1.54649i | −0.825904 | − | 0.563811i | \(-0.809334\pi\) |
0.185327 | − | 0.982677i | \(-0.440666\pi\) | |||||||
\(434\) | 10.4796 | − | 25.3000i | 0.503038 | − | 1.21444i | ||||
\(435\) | 2.95501 | − | 3.76757i | 0.141682 | − | 0.180641i | ||||
\(436\) | −0.223471 | − | 1.12347i | −0.0107023 | − | 0.0538043i | ||||
\(437\) | 37.6164 | + | 7.48236i | 1.79944 | + | 0.357930i | ||||
\(438\) | 1.42549 | 0.0681124 | ||||||||
\(439\) | 3.85608 | + | 0.767023i | 0.184041 | + | 0.0366080i | 0.286250 | − | 0.958155i | \(-0.407591\pi\) |
−0.102209 | + | 0.994763i | \(0.532591\pi\) | |||||||
\(440\) | 0.195895 | + | 0.597860i | 0.00933895 | + | 0.0285019i | ||||
\(441\) | 8.30706i | 0.395574i | ||||||||
\(442\) | 3.29107 | − | 4.90268i | 0.156540 | − | 0.233197i | ||||
\(443\) | 17.5112 | − | 17.5112i | 0.831985 | − | 0.831985i | −0.155803 | − | 0.987788i | \(-0.549797\pi\) |
0.987788 | + | 0.155803i | \(0.0497967\pi\) | |||||||
\(444\) | −1.74577 | − | 4.21467i | −0.0828508 | − | 0.200020i | ||||
\(445\) | −14.6699 | + | 8.26333i | −0.695419 | + | 0.391720i | ||||
\(446\) | −13.1013 | + | 13.1013i | −0.620364 | + | 0.620364i | ||||
\(447\) | 1.71797 | − | 8.63681i | 0.0812571 | − | 0.408507i | ||||
\(448\) | −1.76066 | + | 2.63501i | −0.0831834 | + | 0.124493i | ||||
\(449\) | 18.9084 | + | 12.6342i | 0.892341 | + | 0.596243i | 0.914979 | − | 0.403500i | \(-0.132207\pi\) |
−0.0226383 | + | 0.999744i | \(0.507207\pi\) | |||||||
\(450\) | 13.2554 | − | 3.25188i | 0.624865 | − | 0.153295i | ||||
\(451\) | −2.24605 | − | 0.930345i | −0.105762 | − | 0.0438082i | ||||
\(452\) | 3.25969 | + | 16.3876i | 0.153323 | + | 0.770807i | ||||
\(453\) | −2.78477 | − | 1.86072i | −0.130840 | − | 0.0874244i | ||||
\(454\) | −1.97408 | − | 2.95443i | −0.0926484 | − | 0.138658i | ||||
\(455\) | −0.771185 | + | 10.1193i | −0.0361537 | + | 0.474399i | ||||
\(456\) | −0.795373 | + | 3.99861i | −0.0372467 | + | 0.187252i | ||||
\(457\) | −8.19219 | + | 19.7777i | −0.383215 | + | 0.925162i | 0.608125 | + | 0.793841i | \(0.291922\pi\) |
−0.991340 | + | 0.131321i | \(0.958078\pi\) | |||||||
\(458\) | 19.8204 | + | 19.8204i | 0.926144 | + | 0.926144i | ||||
\(459\) | 12.2825 | + | 0.0262845i | 0.573298 | + | 0.00122685i | ||||
\(460\) | −0.831068 | + | 10.9050i | −0.0387487 | + | 0.508450i | ||||
\(461\) | −29.7389 | + | 12.3183i | −1.38508 | + | 0.573719i | −0.945835 | − | 0.324648i | \(-0.894754\pi\) |
−0.439246 | + | 0.898367i | \(0.644754\pi\) | |||||||
\(462\) | −0.257553 | − | 0.385456i | −0.0119825 | − | 0.0179330i | ||||
\(463\) | 38.6520i | 1.79631i | 0.439681 | + | 0.898154i | \(0.355092\pi\) | ||||
−0.439681 | + | 0.898154i | \(0.644908\pi\) | |||||||
\(464\) | 3.42452 | − | 2.28819i | 0.158979 | − | 0.106227i | ||||
\(465\) | 9.97325 | − | 1.20547i | 0.462498 | − | 0.0559024i | ||||
\(466\) | 6.05113 | − | 9.05615i | 0.280313 | − | 0.419518i | ||||
\(467\) | −2.11424 | + | 0.875745i | −0.0978352 | + | 0.0405247i | −0.431064 | − | 0.902321i | \(-0.641862\pi\) |
0.333229 | + | 0.942846i | \(0.391862\pi\) | |||||||
\(468\) | 3.61172 | − | 1.49602i | 0.166952 | − | 0.0691537i | ||||
\(469\) | 7.91814 | − | 11.8503i | 0.365626 | − | 0.547197i | ||||
\(470\) | 4.54138 | + | 3.56193i | 0.209478 | + | 0.164300i | ||||
\(471\) | 10.0470 | − | 6.71319i | 0.462941 | − | 0.309327i | ||||
\(472\) | 0.265651i | 0.0122276i | ||||||||
\(473\) | −1.06402 | − | 1.59242i | −0.0489236 | − | 0.0732194i | ||||
\(474\) | −5.16054 | + | 2.13757i | −0.237031 | + | 0.0981816i | ||||
\(475\) | −5.94151 | + | 38.7550i | −0.272615 | + | 1.77820i | ||||
\(476\) | −9.25920 | + | 9.21966i | −0.424395 | + | 0.422582i | ||||
\(477\) | 7.85796 | + | 7.85796i | 0.359791 | + | 0.359791i | ||||
\(478\) | −7.50968 | + | 18.1300i | −0.343485 | + | 0.829245i | ||||
\(479\) | 4.38824 | − | 22.0612i | 0.200504 | − | 1.00800i | −0.741130 | − | 0.671362i | \(-0.765710\pi\) |
0.941634 | − | 0.336640i | \(-0.109290\pi\) | |||||||
\(480\) | −1.15920 | − | 0.0883423i | −0.0529101 | − | 0.00403225i | ||||
\(481\) | −6.98137 | − | 10.4484i | −0.318323 | − | 0.476404i | ||||
\(482\) | 7.54124 | + | 5.03890i | 0.343494 | + | 0.229515i | ||||
\(483\) | −1.57219 | − | 7.90392i | −0.0715370 | − | 0.359641i | ||||
\(484\) | 10.0895 | + | 4.17922i | 0.458615 | + | 0.189965i | ||||
\(485\) | 12.1399 | − | 23.9725i | 0.551244 | − | 1.08854i | ||||
\(486\) | 10.3013 | + | 6.88308i | 0.467275 | + | 0.312223i | ||||
\(487\) | −1.18721 | + | 1.77678i | −0.0537976 | + | 0.0805137i | −0.857393 | − | 0.514662i | \(-0.827917\pi\) |
0.803596 | + | 0.595176i | \(0.202917\pi\) | |||||||
\(488\) | −1.76696 | + | 8.88311i | −0.0799865 | + | 0.402119i | ||||
\(489\) | −3.64006 | + | 3.64006i | −0.164609 | + | 0.164609i | ||||
\(490\) | 1.83088 | − | 6.55393i | 0.0827109 | − | 0.296076i | ||||
\(491\) | −14.7586 | − | 35.6303i | −0.666045 | − | 1.60797i | −0.788168 | − | 0.615460i | \(-0.788970\pi\) |
0.122124 | − | 0.992515i | \(-0.461030\pi\) | |||||||
\(492\) | 3.17660 | − | 3.17660i | 0.143212 | − | 0.143212i | ||||
\(493\) | 15.7028 | − | 6.46497i | 0.707218 | − | 0.291168i | ||||
\(494\) | 11.2302i | 0.505272i | ||||||||
\(495\) | −0.775865 | + | 1.53209i | −0.0348725 | + | 0.0688624i | ||||
\(496\) | 8.47506 | + | 1.68579i | 0.380542 | + | 0.0756944i | ||||
\(497\) | −17.4557 | −0.782997 | ||||||||
\(498\) | −5.61620 | − | 1.11713i | −0.251668 | − | 0.0500598i | ||||
\(499\) | −3.78839 | − | 19.0455i | −0.169592 | − | 0.852595i | −0.968091 | − | 0.250599i | \(-0.919372\pi\) |
0.798499 | − | 0.601996i | \(-0.205628\pi\) | |||||||
\(500\) | −11.1747 | − | 0.355898i | −0.499747 | − | 0.0159162i | ||||
\(501\) | 1.39508 | − | 3.36802i | 0.0623275 | − | 0.150472i | ||||
\(502\) | −1.78434 | − | 4.30778i | −0.0796390 | − | 0.192265i | ||||
\(503\) | −36.1684 | + | 7.19433i | −1.61267 | + | 0.320779i | −0.917398 | − | 0.397970i | \(-0.869715\pi\) |
−0.695269 | + | 0.718750i | \(0.744715\pi\) | |||||||
\(504\) | −8.48445 | + | 1.68766i | −0.377927 | + | 0.0751744i | ||||
\(505\) | 1.18997 | + | 0.332426i | 0.0529529 | + | 0.0147927i | ||||
\(506\) | −0.973071 | − | 0.973071i | −0.0432583 | − | 0.0432583i | ||||
\(507\) | 4.73317 | − | 3.16260i | 0.210207 | − | 0.140456i | ||||
\(508\) | −3.67225 | − | 1.52109i | −0.162930 | − | 0.0674876i | ||||
\(509\) | 29.9994 | 1.32970 | 0.664850 | − | 0.746977i | \(-0.268496\pi\) | ||||
0.664850 | + | 0.746977i | \(0.268496\pi\) | |||||||
\(510\) | −4.61385 | − | 1.29956i | −0.204305 | − | 0.0575455i | ||||
\(511\) | −8.68896 | −0.384377 | ||||||||
\(512\) | −0.923880 | − | 0.382683i | −0.0408301 | − | 0.0169124i | ||||
\(513\) | −19.4228 | + | 12.9779i | −0.857539 | + | 0.572989i | ||||
\(514\) | 15.8077 | + | 15.8077i | 0.697247 | + | 0.697247i | ||||
\(515\) | −10.5264 | − | 18.6874i | −0.463847 | − | 0.823466i | ||||
\(516\) | 3.47102 | − | 0.690428i | 0.152803 | − | 0.0303944i | ||||
\(517\) | −0.712272 | + | 0.141680i | −0.0313257 | + | 0.00623106i | ||||
\(518\) | 10.6413 | + | 25.6903i | 0.467550 | + | 1.12877i | ||||
\(519\) | −0.959612 | + | 2.31671i | −0.0421223 | + | 0.101692i | ||||
\(520\) | −3.17922 | + | 0.384275i | −0.139418 | + | 0.0168516i | ||||
\(521\) | −0.719719 | − | 3.61827i | −0.0315314 | − | 0.158519i | 0.961812 | − | 0.273712i | \(-0.0882515\pi\) |
−0.993343 | + | 0.115193i | \(0.963251\pi\) | |||||||
\(522\) | 11.0266 | + | 2.19332i | 0.482620 | + | 0.0959990i | ||||
\(523\) | −13.8615 | −0.606122 | −0.303061 | − | 0.952971i | \(-0.598009\pi\) | ||||
−0.303061 | + | 0.952971i | \(0.598009\pi\) | |||||||
\(524\) | 16.2694 | + | 3.23618i | 0.710731 | + | 0.141373i | ||||
\(525\) | 8.00107 | − | 1.96286i | 0.349195 | − | 0.0856664i | ||||
\(526\) | − | 7.52893i | − | 0.328277i | ||||||
\(527\) | 32.8869 | + | 13.7047i | 1.43257 | + | 0.596987i | ||||
\(528\) | 0.103437 | − | 0.103437i | 0.00450152 | − | 0.00450152i | ||||
\(529\) | −0.352890 | − | 0.851952i | −0.0153430 | − | 0.0370414i | ||||
\(530\) | −4.46771 | − | 7.93151i | −0.194065 | − | 0.344523i | ||||
\(531\) | −0.512755 | + | 0.512755i | −0.0222517 | + | 0.0222517i | ||||
\(532\) | 4.84814 | − | 24.3733i | 0.210194 | − | 1.05671i | ||||
\(533\) | 6.87495 | − | 10.2891i | 0.297787 | − | 0.445670i | ||||
\(534\) | 3.25507 | + | 2.17497i | 0.140861 | + | 0.0941202i | ||||
\(535\) | −6.34678 | − | 3.21407i | −0.274395 | − | 0.138956i | ||||
\(536\) | 4.15492 | + | 1.72102i | 0.179465 | + | 0.0743370i | ||||
\(537\) | −1.62382 | − | 8.16350i | −0.0700730 | − | 0.352281i | ||||
\(538\) | −1.52657 | − | 1.02002i | −0.0658153 | − | 0.0439764i | ||||
\(539\) | 0.475699 | + | 0.711935i | 0.0204898 | + | 0.0306652i | ||||
\(540\) | −4.33859 | − | 5.05443i | −0.186703 | − | 0.217508i | ||||
\(541\) | −5.78650 | + | 29.0907i | −0.248781 | + | 1.25071i | 0.631171 | + | 0.775644i | \(0.282575\pi\) |
−0.879952 | + | 0.475062i | \(0.842425\pi\) | |||||||
\(542\) | −2.24311 | + | 5.41534i | −0.0963498 | + | 0.232609i | ||||
\(543\) | −0.771974 | − | 0.771974i | −0.0331286 | − | 0.0331286i | ||||
\(544\) | −3.42333 | − | 2.29801i | −0.146774 | − | 0.0985262i | ||||
\(545\) | −1.94355 | + | 1.66829i | −0.0832525 | + | 0.0714618i | ||||
\(546\) | 2.18007 | − | 0.903013i | 0.0932982 | − | 0.0386454i | ||||
\(547\) | 0.579802 | + | 0.867735i | 0.0247905 | + | 0.0371017i | 0.843658 | − | 0.536881i | \(-0.180398\pi\) |
−0.818867 | + | 0.573983i | \(0.805398\pi\) | |||||||
\(548\) | − | 9.62756i | − | 0.411269i | ||||||
\(549\) | −20.5566 | + | 13.7355i | −0.877333 | + | 0.586215i | ||||
\(550\) | 0.949800 | − | 1.03776i | 0.0404996 | − | 0.0442501i | ||||
\(551\) | −17.9430 | + | 26.8536i | −0.764397 | + | 1.14400i | ||||
\(552\) | 2.34935 | − | 0.973132i | 0.0999949 | − | 0.0414192i | ||||
\(553\) | 31.4557 | − | 13.0294i | 1.33763 | − | 0.554066i | ||||
\(554\) | 2.24134 | − | 3.35440i | 0.0952252 | − | 0.142515i | ||||
\(555\) | −6.29538 | + | 8.02647i | −0.267224 | + | 0.340705i | ||||
\(556\) | 14.6775 | − | 9.80720i | 0.622465 | − | 0.415918i | ||||
\(557\) | 38.7407i | 1.64150i | 0.571289 | + | 0.820749i | \(0.306444\pi\) | ||||
−0.571289 | + | 0.820749i | \(0.693556\pi\) | |||||||
\(558\) | 13.1045 | + | 19.6123i | 0.554759 | + | 0.830255i | ||||
\(559\) | 9.00641 | − | 3.73058i | 0.380930 | − | 0.157787i | ||||
\(560\) | 7.06585 | + | 0.538484i | 0.298586 | + | 0.0227551i | ||||
\(561\) | 0.502206 | − | 0.334011i | 0.0212032 | − | 0.0141020i | ||||
\(562\) | −13.8010 | − | 13.8010i | −0.582158 | − | 0.582158i | ||||
\(563\) | −2.90463 | + | 7.01239i | −0.122415 | + | 0.295537i | −0.973193 | − | 0.229988i | \(-0.926131\pi\) |
0.850778 | + | 0.525525i | \(0.176131\pi\) | |||||||
\(564\) | 0.261806 | − | 1.31619i | 0.0110240 | − | 0.0554216i | ||||
\(565\) | 28.3498 | − | 24.3347i | 1.19269 | − | 1.02377i | ||||
\(566\) | 9.30491 | + | 13.9258i | 0.391115 | + | 0.585344i | ||||
\(567\) | −17.4972 | − | 11.6913i | −0.734813 | − | 0.490987i | ||||
\(568\) | −1.07458 | − | 5.40226i | −0.0450882 | − | 0.226674i | ||||
\(569\) | 6.70678 | + | 2.77804i | 0.281163 | + | 0.116461i | 0.518809 | − | 0.854890i | \(-0.326376\pi\) |
−0.237646 | + | 0.971352i | \(0.576376\pi\) | |||||||
\(570\) | 8.66314 | − | 2.83857i | 0.362859 | − | 0.118895i | ||||
\(571\) | −6.04123 | − | 4.03662i | −0.252818 | − | 0.168927i | 0.422703 | − | 0.906268i | \(-0.361081\pi\) |
−0.675521 | + | 0.737341i | \(0.736081\pi\) | |||||||
\(572\) | 0.223864 | − | 0.335036i | 0.00936022 | − | 0.0140086i | ||||
\(573\) | −0.289194 | + | 1.45387i | −0.0120812 | + | 0.0607365i | ||||
\(574\) | −19.3627 | + | 19.3627i | −0.808185 | + | 0.808185i | ||||
\(575\) | 22.1578 | − | 10.3483i | 0.924043 | − | 0.431554i | ||||
\(576\) | −1.04461 | − | 2.52190i | −0.0435253 | − | 0.105079i | ||||
\(577\) | 24.2855 | − | 24.2855i | 1.01102 | − | 1.01102i | 0.0110796 | − | 0.999939i | \(-0.496473\pi\) |
0.999939 | − | 0.0110796i | \(-0.00352681\pi\) | |||||||
\(578\) | −11.9693 | − | 12.0722i | −0.497855 | − | 0.502135i | ||||
\(579\) | − | 6.15256i | − | 0.255692i | ||||||
\(580\) | −8.21610 | − | 4.16070i | −0.341155 | − | 0.172764i | ||||
\(581\) | 34.2332 | + | 6.80940i | 1.42023 | + | 0.282501i | ||||
\(582\) | −6.24788 | −0.258983 | ||||||||
\(583\) | 1.12343 | + | 0.223464i | 0.0465276 | + | 0.00925492i | ||||
\(584\) | −0.534893 | − | 2.68909i | −0.0221340 | − | 0.111275i | ||||
\(585\) | −6.87820 | − | 5.39476i | −0.284378 | − | 0.223046i | ||||
\(586\) | −1.39979 | + | 3.37940i | −0.0578249 | + | 0.139602i | ||||
\(587\) | −9.61829 | − | 23.2206i | −0.396989 | − | 0.958417i | −0.988376 | − | 0.152029i | \(-0.951419\pi\) |
0.591387 | − | 0.806388i | \(-0.298581\pi\) | |||||||
\(588\) | −1.55182 | + | 0.308675i | −0.0639958 | + | 0.0127296i | ||||
\(589\) | −66.4578 | + | 13.2193i | −2.73835 | + | 0.544691i | ||||
\(590\) | 0.517554 | − | 0.291531i | 0.0213074 | − | 0.0120021i | ||||
\(591\) | 3.33580 | + | 3.33580i | 0.137216 | + | 0.137216i | ||||
\(592\) | −7.29563 | + | 4.87479i | −0.299849 | + | 0.200352i | ||||
\(593\) | −36.3313 | − | 15.0489i | −1.49195 | − | 0.617985i | −0.520209 | − | 0.854039i | \(-0.674146\pi\) |
−0.971740 | + | 0.236054i | \(0.924146\pi\) | |||||||
\(594\) | 0.838151 | 0.0343898 | ||||||||
\(595\) | 28.1234 | + | 7.92138i | 1.15295 | + | 0.324745i | ||||
\(596\) | −16.9374 | −0.693784 | ||||||||
\(597\) | 6.00245 | + | 2.48629i | 0.245664 | + | 0.101757i | ||||
\(598\) | 5.82414 | − | 3.89157i | 0.238167 | − | 0.159138i | ||||
\(599\) | 30.4413 | + | 30.4413i | 1.24380 | + | 1.24380i | 0.958412 | + | 0.285387i | \(0.0921220\pi\) |
0.285387 | + | 0.958412i | \(0.407878\pi\) | |||||||
\(600\) | 1.10002 | + | 2.35536i | 0.0449081 | + | 0.0961573i | ||||
\(601\) | −2.94028 | + | 0.584859i | −0.119937 | + | 0.0238569i | −0.254694 | − | 0.967022i | \(-0.581975\pi\) |
0.134757 | + | 0.990879i | \(0.456975\pi\) | |||||||
\(602\) | −21.1574 | + | 4.20846i | −0.862309 | + | 0.171524i | ||||
\(603\) | 4.69786 | + | 11.3416i | 0.191312 | + | 0.461867i | ||||
\(604\) | −2.46519 | + | 5.95150i | −0.100307 | + | 0.242163i | ||||
\(605\) | −2.93030 | − | 24.2433i | −0.119134 | − | 0.985630i | ||||
\(606\) | −0.0560449 | − | 0.281756i | −0.00227667 | − | 0.0114456i | ||||
\(607\) | −25.8899 | − | 5.14982i | −1.05084 | − | 0.209025i | −0.360684 | − | 0.932688i | \(-0.617457\pi\) |
−0.690153 | + | 0.723663i | \(0.742457\pi\) | |||||||
\(608\) | 7.84157 | 0.318018 | ||||||||
\(609\) | 6.65573 | + | 1.32391i | 0.269704 | + | 0.0536474i | ||||
\(610\) | 19.2456 | − | 6.30603i | 0.779231 | − | 0.255324i | ||||
\(611\) | − | 3.69656i | − | 0.149547i | ||||||
\(612\) | −2.17207 | − | 11.0432i | −0.0878009 | − | 0.446395i | ||||
\(613\) | 1.94977 | − | 1.94977i | 0.0787506 | − | 0.0787506i | −0.666634 | − | 0.745385i | \(-0.732266\pi\) |
0.745385 | + | 0.666634i | \(0.232266\pi\) | |||||||
\(614\) | −7.01744 | − | 16.9416i | −0.283201 | − | 0.683707i | ||||
\(615\) | −9.67486 | − | 2.70274i | −0.390128 | − | 0.108985i | ||||
\(616\) | −0.630494 | + | 0.630494i | −0.0254033 | + | 0.0254033i | ||||
\(617\) | −5.52626 | + | 27.7824i | −0.222479 | + | 1.11848i | 0.694485 | + | 0.719507i | \(0.255632\pi\) |
−0.916964 | + | 0.398970i | \(0.869368\pi\) | |||||||
\(618\) | −2.77062 | + | 4.14652i | −0.111451 | + | 0.166798i | ||||
\(619\) | −29.0829 | − | 19.4326i | −1.16894 | − | 0.781061i | −0.189320 | − | 0.981916i | \(-0.560628\pi\) |
−0.979621 | + | 0.200854i | \(0.935628\pi\) | |||||||
\(620\) | −6.01636 | − | 18.3615i | −0.241623 | − | 0.737417i | ||||
\(621\) | 13.4610 | + | 5.57574i | 0.540173 | + | 0.223747i | ||||
\(622\) | −1.14970 | − | 5.77994i | −0.0460988 | − | 0.231755i | ||||
\(623\) | −19.8411 | − | 13.2574i | −0.794916 | − | 0.531146i | ||||
\(624\) | 0.413672 | + | 0.619104i | 0.0165601 | + | 0.0247840i | ||||
\(625\) | 11.5699 | + | 22.1616i | 0.462797 | + | 0.886464i | ||||
\(626\) | 1.06893 | − | 5.37387i | 0.0427230 | − | 0.214783i | ||||
\(627\) | −0.438969 | + | 1.05977i | −0.0175307 | + | 0.0423230i | ||||
\(628\) | −16.4340 | − | 16.4340i | −0.655787 | − | 0.655787i | ||||
\(629\) | −33.4534 | + | 13.7730i | −1.33387 | + | 0.549167i | ||||
\(630\) | 12.5990 | + | 14.6777i | 0.501956 | + | 0.584775i | ||||
\(631\) | 36.3969 | − | 15.0761i | 1.44894 | − | 0.600170i | 0.486992 | − | 0.873407i | \(-0.338094\pi\) |
0.961947 | + | 0.273237i | \(0.0880942\pi\) | |||||||
\(632\) | 5.96880 | + | 8.93293i | 0.237426 | + | 0.355333i | ||||
\(633\) | 3.87039i | 0.153834i | ||||||||
\(634\) | 19.8279 | − | 13.2485i | 0.787465 | − | 0.526167i | ||||
\(635\) | 1.06653 | + | 8.82373i | 0.0423239 | + | 0.350159i | ||||
\(636\) | −1.17593 | + | 1.75991i | −0.0466288 | + | 0.0697849i | ||||
\(637\) | −4.02657 | + | 1.66786i | −0.159538 | + | 0.0660830i | ||||
\(638\) | 1.07060 | − | 0.443458i | 0.0423855 | − | 0.0175567i | ||||
\(639\) | 8.35322 | − | 12.5015i | 0.330448 | − | 0.494551i | ||||
\(640\) | 0.268322 | + | 2.21991i | 0.0106064 | + | 0.0877497i | ||||
\(641\) | 13.9969 | − | 9.35244i | 0.552845 | − | 0.369399i | −0.247547 | − | 0.968876i | \(-0.579625\pi\) |
0.800392 | + | 0.599476i | \(0.204625\pi\) | |||||||
\(642\) | 1.65414i | 0.0652838i | ||||||||
\(643\) | 5.74218 | + | 8.59378i | 0.226449 | + | 0.338905i | 0.927244 | − | 0.374458i | \(-0.122171\pi\) |
−0.700795 | + | 0.713363i | \(0.747171\pi\) | |||||||
\(644\) | −14.3203 | + | 5.93166i | −0.564299 | + | 0.233740i | ||||
\(645\) | −5.15429 | − | 6.00471i | −0.202950 | − | 0.236435i | ||||
\(646\) | 31.6968 | + | 6.37543i | 1.24709 | + | 0.250838i | ||||
\(647\) | −25.8429 | − | 25.8429i | −1.01599 | − | 1.01599i | −0.999870 | − | 0.0161200i | \(-0.994869\pi\) |
−0.0161200 | − | 0.999870i | \(-0.505131\pi\) | |||||||
\(648\) | 2.54112 | − | 6.13481i | 0.0998246 | − | 0.240998i | ||||
\(649\) | −0.0145817 | + | 0.0733070i | −0.000572380 | + | 0.00287755i | ||||
\(650\) | 4.23761 | + | 5.77220i | 0.166213 | + | 0.226404i | ||||
\(651\) | 7.91000 | + | 11.8382i | 0.310017 | + | 0.463974i | ||||
\(652\) | 8.23261 | + | 5.50085i | 0.322414 | + | 0.215430i | ||||
\(653\) | 2.80770 | + | 14.1152i | 0.109874 | + | 0.552372i | 0.996032 | + | 0.0889906i | \(0.0283641\pi\) |
−0.886159 | + | 0.463382i | \(0.846636\pi\) | |||||||
\(654\) | 0.550217 | + | 0.227907i | 0.0215152 | + | 0.00891188i | ||||
\(655\) | −11.5495 | − | 35.2482i | −0.451275 | − | 1.37726i | ||||
\(656\) | −7.18442 | − | 4.80047i | −0.280504 | − | 0.187427i | ||||
\(657\) | 4.15799 | − | 6.22287i | 0.162219 | − | 0.242777i | ||||
\(658\) | −1.59582 | + | 8.02274i | −0.0622117 | + | 0.312759i | ||||
\(659\) | −18.8330 | + | 18.8330i | −0.733630 | + | 0.733630i | −0.971337 | − | 0.237707i | \(-0.923604\pi\) |
0.237707 | + | 0.971337i | \(0.423604\pi\) | |||||||
\(660\) | −0.315035 | − | 0.0880072i | −0.0122627 | − | 0.00342567i | ||||
\(661\) | 14.6271 | + | 35.3131i | 0.568930 | + | 1.37352i | 0.902458 | + | 0.430778i | \(0.141761\pi\) |
−0.333528 | + | 0.942740i | \(0.608239\pi\) | |||||||
\(662\) | −9.78245 | + | 9.78245i | −0.380206 | + | 0.380206i | ||||
\(663\) | 1.16878 | + | 2.83884i | 0.0453915 | + | 0.110251i | ||||
\(664\) | 11.0138i | 0.427418i | ||||||||
\(665\) | −52.8056 | + | 17.3023i | −2.04771 | + | 0.670955i | ||||
\(666\) | −23.4911 | − | 4.67267i | −0.910262 | − | 0.181062i | ||||
\(667\) | 20.1444 | 0.779992 | ||||||||
\(668\) | −6.87703 | − | 1.36793i | −0.266080 | − | 0.0529267i | ||||
\(669\) | −1.87930 | − | 9.44790i | −0.0726581 | − | 0.365277i | ||||
\(670\) | −1.20671 | − | 9.98350i | −0.0466194 | − | 0.385696i | ||||
\(671\) | −0.975192 | + | 2.35432i | −0.0376469 | + | 0.0908876i | ||||
\(672\) | −0.630534 | − | 1.52224i | −0.0243234 | − | 0.0587218i | ||||
\(673\) | 39.6540 | − | 7.88767i | 1.52855 | − | 0.304047i | 0.642008 | − | 0.766698i | \(-0.278101\pi\) |
0.886541 | + | 0.462650i | \(0.153101\pi\) | |||||||
\(674\) | −3.30979 | + | 0.658358i | −0.127488 | + | 0.0253590i | ||||
\(675\) | −5.08602 | + | 13.9995i | −0.195761 | + | 0.538841i | ||||
\(676\) | −7.74209 | − | 7.74209i | −0.297773 | − | 0.297773i | ||||
\(677\) | 6.94924 | − | 4.64334i | 0.267081 | − | 0.178458i | −0.414817 | − | 0.909905i | \(-0.636155\pi\) |
0.681899 | + | 0.731447i | \(0.261155\pi\) | |||||||
\(678\) | −8.02580 | − | 3.32439i | −0.308229 | − | 0.127673i | ||||
\(679\) | 38.0836 | 1.46151 | ||||||||
\(680\) | −0.720256 | + | 9.19137i | −0.0276206 | + | 0.352473i | ||||
\(681\) | 1.84739 | 0.0707922 | ||||||||
\(682\) | 2.24618 | + | 0.930397i | 0.0860105 | + | 0.0356267i | ||||
\(683\) | −8.07802 | + | 5.39756i | −0.309097 | + | 0.206532i | −0.700437 | − | 0.713714i | \(-0.747012\pi\) |
0.391340 | + | 0.920246i | \(0.372012\pi\) | |||||||
\(684\) | 15.1356 | + | 15.1356i | 0.578726 | + | 0.578726i | ||||
\(685\) | −18.7569 | + | 10.5655i | −0.716663 | + | 0.403686i | ||||
\(686\) | −12.2985 | + | 2.44632i | −0.469559 | + | 0.0934010i | ||||
\(687\) | −14.2933 | + | 2.84311i | −0.545323 | + | 0.108472i | ||||
\(688\) | −2.60490 | − | 6.28878i | −0.0993107 | − | 0.239757i | ||||
\(689\) | −2.23119 | + | 5.38657i | −0.0850016 | + | 0.205212i | ||||
\(690\) | −4.47412 | − | 3.50918i | −0.170327 | − | 0.133592i | ||||
\(691\) | −7.90957 | − | 39.7641i | −0.300894 | − | 1.51270i | −0.774848 | − | 0.632147i | \(-0.782174\pi\) |
0.473954 | − | 0.880550i | \(-0.342826\pi\) | |||||||
\(692\) | 4.73040 | + | 0.940935i | 0.179823 | + | 0.0357690i | ||||
\(693\) | −2.43394 | −0.0924576 | ||||||||
\(694\) | −26.8852 | − | 5.34779i | −1.02055 | − | 0.202999i | ||||
\(695\) | −35.2142 | − | 17.8328i | −1.33575 | − | 0.676437i | ||||
\(696\) | 2.14134i | 0.0811672i | ||||||||
\(697\) | −25.1376 | − | 25.2454i | −0.952153 | − | 0.956237i | ||||
\(698\) | 18.8631 | − | 18.8631i | 0.713977 | − | 0.713977i | ||||
\(699\) | 2.16705 | + | 5.23172i | 0.0819654 | + | 0.197882i | ||||
\(700\) | −6.70510 | − | 14.3570i | −0.253429 | − | 0.542642i | ||||
\(701\) | −6.03565 | + | 6.03565i | −0.227963 | + | 0.227963i | −0.811841 | − | 0.583878i | \(-0.801535\pi\) |
0.583878 | + | 0.811841i | \(0.301535\pi\) | |||||||
\(702\) | −0.832308 | + | 4.18430i | −0.0314135 | + | 0.157926i | ||||
\(703\) | 38.2260 | − | 57.2092i | 1.44172 | − | 2.15769i | ||||
\(704\) | −0.233941 | − | 0.156314i | −0.00881697 | − | 0.00589131i | ||||
\(705\) | −2.85157 | + | 0.934349i | −0.107396 | + | 0.0351896i | ||||
\(706\) | 16.4972 | + | 6.83337i | 0.620881 | + | 0.257177i | ||||
\(707\) | 0.341618 | + | 1.71743i | 0.0128479 | + | 0.0645905i | ||||
\(708\) | −0.114839 | − | 0.0767331i | −0.00431592 | − | 0.00288381i | ||||
\(709\) | 4.94664 | + | 7.40317i | 0.185775 | + | 0.278032i | 0.912653 | − | 0.408734i | \(-0.134030\pi\) |
−0.726879 | + | 0.686766i | \(0.759030\pi\) | |||||||
\(710\) | −9.34568 | + | 8.02209i | −0.350737 | + | 0.301064i | ||||
\(711\) | −5.72133 | + | 28.7630i | −0.214566 | + | 1.07870i | ||||
\(712\) | 2.88152 | − | 6.95661i | 0.107990 | − | 0.260710i | ||||
\(713\) | 29.8851 | + | 29.8851i | 1.11920 | + | 1.11920i | ||||
\(714\) | −1.31108 | − | 6.66578i | −0.0490660 | − | 0.249460i | ||||
\(715\) | −0.898406 | − | 0.0684670i | −0.0335985 | − | 0.00256052i | ||||
\(716\) | −14.7906 | + | 6.12646i | −0.552750 | + | 0.228957i | ||||
\(717\) | −5.66830 | − | 8.48321i | −0.211686 | − | 0.316811i | ||||
\(718\) | − | 13.0021i | − | 0.485234i | ||||||
\(719\) | −2.35890 | + | 1.57616i | −0.0879720 | + | 0.0587810i | −0.598778 | − | 0.800915i | \(-0.704347\pi\) |
0.510806 | + | 0.859696i | \(0.329347\pi\) | |||||||
\(720\) | −3.76692 | + | 4.80274i | −0.140385 | + | 0.178988i | ||||
\(721\) | 16.8881 | − | 25.2748i | 0.628946 | − | 0.941284i | ||||
\(722\) | −39.2558 | + | 16.2603i | −1.46095 | + | 0.605145i | ||||
\(723\) | −4.35656 | + | 1.80455i | −0.162022 | + | 0.0671118i | ||||
\(724\) | −1.16661 | + | 1.74595i | −0.0433566 | + | 0.0648877i | ||||
\(725\) | 0.910428 | + | 20.5730i | 0.0338125 | + | 0.764063i | ||||
\(726\) | −4.72100 | + | 3.15447i | −0.175213 | + | 0.117074i | ||||
\(727\) | − | 31.7549i | − | 1.17772i | −0.808234 | − | 0.588862i | \(-0.799576\pi\) | ||
0.808234 | − | 0.588862i | \(-0.200424\pi\) | |||||||
\(728\) | −2.52151 | − | 3.77371i | −0.0934535 | − | 0.139863i | ||||
\(729\) | 12.4534 | − | 5.15837i | 0.461237 | − | 0.191051i | ||||
\(730\) | −4.65201 | + | 3.99316i | −0.172179 | + | 0.147794i | ||||
\(731\) | −5.41642 | − | 27.5380i | −0.200334 | − | 1.01853i | ||||
\(732\) | −3.32972 | − | 3.32972i | −0.123070 | − | 0.123070i | ||||
\(733\) | −8.69326 | + | 20.9874i | −0.321093 | + | 0.775187i | 0.678098 | + | 0.734971i | \(0.262804\pi\) |
−0.999191 | + | 0.0402153i | \(0.987196\pi\) | |||||||
\(734\) | −6.99762 | + | 35.1794i | −0.258287 | + | 1.29850i | ||||
\(735\) | 2.30437 | + | 2.68458i | 0.0849980 | + | 0.0990220i | ||||
\(736\) | −2.71731 | − | 4.06674i | −0.100161 | − | 0.149902i | ||||
\(737\) | 1.05209 | + | 0.702985i | 0.0387543 | + | 0.0258948i | ||||
\(738\) | −4.60144 | − | 23.1330i | −0.169381 | − | 0.851538i | ||||
\(739\) | −9.96337 | − | 4.12696i | −0.366509 | − | 0.151813i | 0.191826 | − | 0.981429i | \(-0.438559\pi\) |
−0.558334 | + | 0.829616i | \(0.688559\pi\) | |||||||
\(740\) | 17.5037 | + | 8.86401i | 0.643447 | + | 0.325847i | ||||
\(741\) | −4.85475 | − | 3.24384i | −0.178344 | − | 0.119165i | ||||
\(742\) | 7.16783 | − | 10.7274i | 0.263139 | − | 0.393816i | ||||
\(743\) | 0.279826 | − | 1.40678i | 0.0102658 | − | 0.0516098i | −0.975313 | − | 0.220828i | \(-0.929124\pi\) |
0.985579 | + | 0.169218i | \(0.0541242\pi\) | |||||||
\(744\) | −3.17677 | + | 3.17677i | −0.116466 | + | 0.116466i | ||||
\(745\) | 18.5875 | + | 32.9983i | 0.680992 | + | 1.20896i | ||||
\(746\) | −0.746436 | − | 1.80206i | −0.0273290 | − | 0.0659780i | ||||
\(747\) | −21.2586 | + | 21.2586i | −0.777811 | + | 0.777811i | ||||
\(748\) | −0.818536 | − | 0.822046i | −0.0299286 | − | 0.0300570i | ||||
\(749\) | − | 10.0827i | − | 0.368415i | ||||||
\(750\) | 3.38165 | − | 4.72793i | 0.123480 | − | 0.172640i | ||||
\(751\) | 0.679292 | + | 0.135120i | 0.0247877 | + | 0.00493058i | 0.207469 | − | 0.978242i | \(-0.433478\pi\) |
−0.182681 | + | 0.983172i | \(0.558478\pi\) | |||||||
\(752\) | −2.58114 | −0.0941247 | ||||||||
\(753\) | 2.37763 | + | 0.472940i | 0.0866456 | + | 0.0172349i | ||||
\(754\) | 1.15073 | + | 5.78512i | 0.0419072 | + | 0.210682i | ||||
\(755\) | 14.3003 | − | 1.72849i | 0.520443 | − | 0.0629062i | ||||
\(756\) | 3.61276 | − | 8.72198i | 0.131395 | − | 0.317215i | ||||
\(757\) | 1.75279 | + | 4.23160i | 0.0637061 | + | 0.153800i | 0.952527 | − | 0.304455i | \(-0.0984745\pi\) |
−0.888820 | + | 0.458256i | \(0.848474\pi\) | |||||||
\(758\) | −5.80306 | + | 1.15430i | −0.210777 | + | 0.0419261i | ||||
\(759\) | 0.701723 | − | 0.139581i | 0.0254709 | − | 0.00506648i | ||||
\(760\) | −8.60549 | − | 15.2773i | −0.312154 | − | 0.554166i | ||||
\(761\) | 20.1043 | + | 20.1043i | 0.728779 | + | 0.728779i | 0.970377 | − | 0.241597i | \(-0.0776713\pi\) |
−0.241597 | + | 0.970377i | \(0.577671\pi\) | |||||||
\(762\) | 1.71828 | − | 1.14812i | 0.0622469 | − | 0.0415920i | ||||
\(763\) | −3.35381 | − | 1.38919i | −0.121416 | − | 0.0502922i | ||||
\(764\) | 2.85116 | 0.103151 | ||||||||
\(765\) | −19.1312 | + | 16.3508i | −0.691691 | + | 0.591164i | ||||
\(766\) | −0.695806 | −0.0251405 | ||||||||
\(767\) | −0.351490 | − | 0.145592i | −0.0126916 | − | 0.00525702i | ||||
\(768\) | 0.432293 | − | 0.288849i | 0.0155990 | − | 0.0104229i | ||||
\(769\) | −12.1567 | − | 12.1567i | −0.438380 | − | 0.438380i | 0.453086 | − | 0.891467i | \(-0.350323\pi\) |
−0.891467 | + | 0.453086i | \(0.850323\pi\) | |||||||
\(770\) | 1.92028 | + | 0.536442i | 0.0692019 | + | 0.0193320i | ||||
\(771\) | −11.3996 | + | 2.26752i | −0.410546 | + | 0.0816627i | ||||
\(772\) | −11.6064 | + | 2.30866i | −0.417723 | + | 0.0830904i | ||||
\(773\) | 4.21702 | + | 10.1808i | 0.151676 | + | 0.366177i | 0.981394 | − | 0.192005i | \(-0.0614990\pi\) |
−0.829718 | + | 0.558182i | \(0.811499\pi\) | |||||||
\(774\) | 7.11056 | − | 17.1664i | 0.255584 | − | 0.617034i | ||||
\(775\) | −29.1704 | + | 31.8717i | −1.04783 | + | 1.14486i | ||||
\(776\) | 2.34443 | + | 11.7862i | 0.0841600 | + | 0.423101i | ||||
\(777\) | −14.1794 | − | 2.82047i | −0.508685 | − | 0.101184i | ||||
\(778\) | 7.55669 | 0.270920 | ||||||||
\(779\) | 66.4541 | + | 13.2185i | 2.38097 | + | 0.473604i | ||||
\(780\) | 0.752196 | − | 1.48535i | 0.0269329 | − | 0.0531842i | ||||
\(781\) | − | 1.54975i | − | 0.0554544i | ||||||
\(782\) | −7.67739 | − | 18.6476i | −0.274543 | − | 0.666838i | ||||
\(783\) | −8.67563 | + | 8.67563i | −0.310042 | + | 0.310042i | ||||
\(784\) | 1.16459 | + | 2.81157i | 0.0415926 | + | 0.100413i | ||||
\(785\) | −13.9825 | + | 50.0524i | −0.499056 | + | 1.78645i | ||||
\(786\) | −6.09838 | + | 6.09838i | −0.217522 | + | 0.217522i | ||||
\(787\) | −1.27980 | + | 6.43401i | −0.0456201 | + | 0.229348i | −0.996868 | − | 0.0790785i | \(-0.974802\pi\) |
0.951248 | + | 0.308426i | \(0.0998022\pi\) | |||||||
\(788\) | 5.04106 | − | 7.54448i | 0.179580 | − | 0.268761i | ||||
\(789\) | 3.25470 | + | 2.17472i | 0.115871 | + | 0.0774222i | ||||
\(790\) | 10.8533 | − | 21.4319i | 0.386143 | − | 0.762512i | ||||
\(791\) | 48.9207 | + | 20.2636i | 1.73942 | + | 0.720492i | ||||
\(792\) | −0.149833 | − | 0.753263i | −0.00532409 | − | 0.0267660i | ||||
\(793\) | −10.7851 | − | 7.20635i | −0.382989 | − | 0.255905i | ||||
\(794\) | −9.29416 | − | 13.9097i | −0.329837 | − | 0.493636i | ||||
\(795\) | 4.71923 | + | 0.359650i | 0.167374 | + | 0.0127555i | ||||
\(796\) | 2.43790 | − | 12.2562i | 0.0864092 | − | 0.434408i | ||||
\(797\) | 10.3939 | − | 25.0932i | 0.368172 | − | 0.888845i | −0.625878 | − | 0.779921i | \(-0.715259\pi\) |
0.994050 | − | 0.108925i | \(-0.0347407\pi\) | |||||||
\(798\) | 9.13601 | + | 9.13601i | 0.323411 | + | 0.323411i | ||||
\(799\) | −10.4334 | − | 2.09855i | −0.369106 | − | 0.0742413i | ||||
\(800\) | 4.03047 | − | 2.95893i | 0.142499 | − | 0.104614i | ||||
\(801\) | 18.9894 | − | 7.86566i | 0.670957 | − | 0.277919i | ||||
\(802\) | 10.1032 | + | 15.1205i | 0.356756 | + | 0.533923i | ||||
\(803\) | − | 0.771419i | − | 0.0272228i | ||||||
\(804\) | −1.94413 | + | 1.29903i | −0.0685643 | + | 0.0458132i | ||||
\(805\) | 27.2717 | + | 21.3900i | 0.961202 | + | 0.753897i | ||||
\(806\) | −6.87533 | + | 10.2897i | −0.242173 | + | 0.362438i | ||||
\(807\) | 0.881899 | − | 0.365295i | 0.0310443 | − | 0.0128590i | ||||
\(808\) | −0.510485 | + | 0.211450i | −0.0179588 | + | 0.00743878i | ||||
\(809\) | 17.3258 | − | 25.9300i | 0.609144 | − | 0.911649i | −0.390817 | − | 0.920469i | \(-0.627807\pi\) |
0.999961 | + | 0.00881956i | \(0.00280739\pi\) | |||||||
\(810\) | −14.7408 | + | 1.78173i | −0.517939 | + | 0.0626036i | ||||
\(811\) | 12.5844 | − | 8.40864i | 0.441899 | − | 0.295267i | −0.314646 | − | 0.949209i | \(-0.601886\pi\) |
0.756545 | + | 0.653942i | \(0.226886\pi\) | |||||||
\(812\) | − | 13.0524i | − | 0.458049i | ||||||
\(813\) | −1.69310 | − | 2.53390i | −0.0593795 | − | 0.0888677i | ||||
\(814\) | −2.28082 | + | 0.944747i | −0.0799428 | + | 0.0331134i | ||||
\(815\) | 1.68239 | − | 22.0759i | 0.0589317 | − | 0.773285i | ||||
\(816\) | 1.98224 | − | 0.816104i | 0.0693922 | − | 0.0285694i | ||||
\(817\) | 37.7432 | + | 37.7432i | 1.32047 | + | 1.32047i | ||||
\(818\) | −8.34979 | + | 20.1582i | −0.291944 | + | 0.704814i | ||||
\(819\) | 2.41697 | − | 12.1509i | 0.0844557 | − | 0.424588i | ||||
\(820\) | −1.46819 | + | 19.2652i | −0.0512713 | + | 0.672768i | ||||
\(821\) | 9.00841 | + | 13.4820i | 0.314396 | + | 0.470526i | 0.954689 | − | 0.297604i | \(-0.0961874\pi\) |
−0.640294 | + | 0.768130i | \(0.721187\pi\) | |||||||
\(822\) | 4.16193 | + | 2.78091i | 0.145164 | + | 0.0969954i | ||||
\(823\) | 0.910422 | + | 4.57700i | 0.0317353 | + | 0.159544i | 0.993403 | − | 0.114672i | \(-0.0365817\pi\) |
−0.961668 | + | 0.274216i | \(0.911582\pi\) | |||||||
\(824\) | 8.86178 | + | 3.67067i | 0.308715 | + | 0.127874i | ||||
\(825\) | 0.174266 | + | 0.710347i | 0.00606717 | + | 0.0247311i | ||||
\(826\) | 0.699995 | + | 0.467722i | 0.0243559 | + | 0.0162741i | ||||
\(827\) | 29.2788 | − | 43.8189i | 1.01813 | − | 1.52373i | 0.176043 | − | 0.984382i | \(-0.443670\pi\) |
0.842082 | − | 0.539349i | \(-0.181330\pi\) | |||||||
\(828\) | 2.60465 | − | 13.0944i | 0.0905178 | − | 0.455063i | ||||
\(829\) | 5.55667 | − | 5.55667i | 0.192991 | − | 0.192991i | −0.603996 | − | 0.796987i | \(-0.706426\pi\) |
0.796987 | + | 0.603996i | \(0.206426\pi\) | |||||||
\(830\) | 21.4576 | − | 12.0867i | 0.744803 | − | 0.419537i | ||||
\(831\) | 0.802675 | + | 1.93783i | 0.0278445 | + | 0.0672225i | ||||
\(832\) | 1.01268 | − | 1.01268i | 0.0351082 | − | 0.0351082i | ||||
\(833\) | 2.42156 | + | 12.3117i | 0.0839022 | + | 0.426574i | ||||
\(834\) | 9.17779i | 0.317801i | ||||||||
\(835\) | 4.88193 | + | 14.8993i | 0.168946 | + | 0.515613i | ||||
\(836\) | 2.16390 | + | 0.430426i | 0.0748399 | + | 0.0148866i | ||||
\(837\) | −25.7414 | −0.889753 | ||||||||
\(838\) | −32.9487 | − | 6.55391i | −1.13820 | − | 0.226401i | ||||
\(839\) | −5.56494 | − | 27.9768i | −0.192123 | − | 0.965868i | −0.949709 | − | 0.313133i | \(-0.898622\pi\) |
0.757586 | − | 0.652735i | \(-0.226378\pi\) | |||||||
\(840\) | −2.27375 | + | 2.89898i | −0.0784517 | + | 0.100024i | ||||
\(841\) | 4.60630 | − | 11.1206i | 0.158838 | − | 0.383469i | ||||
\(842\) | −14.5939 | − | 35.2328i | −0.502939 | − | 1.21420i | ||||
\(843\) | 9.95245 | − | 1.97967i | 0.342781 | − | 0.0681833i | ||||
\(844\) | 7.30125 | − | 1.45231i | 0.251319 | − | 0.0499905i | ||||
\(845\) | −6.58719 | + | 23.5798i | −0.226606 | + | 0.811171i | ||||
\(846\) | −4.98208 | − | 4.98208i | −0.171287 | − | 0.171287i | ||||
\(847\) | 28.7766 | − | 19.2279i | 0.988774 | − | 0.660678i | ||||
\(848\) | 3.76121 | + | 1.55794i | 0.129160 | + | 0.0535000i | ||||
\(849\) | −8.70774 | −0.298849 | ||||||||
\(850\) | 18.6975 | − | 8.68355i | 0.641318 | − | 0.297843i | ||||
\(851\) | −42.9157 | −1.47113 | ||||||||
\(852\) | 2.64575 | + | 1.09591i | 0.0906420 | + | 0.0375451i | ||||
\(853\) | −17.2728 | + | 11.5413i | −0.591408 | + | 0.395166i | −0.814953 | − | 0.579528i | \(-0.803237\pi\) |
0.223545 | + | 0.974694i | \(0.428237\pi\) | |||||||
\(854\) | 20.2961 | + | 20.2961i | 0.694518 | + | 0.694518i | ||||
\(855\) | 12.8778 | − | 46.0982i | 0.440412 | − | 1.57652i | ||||
\(856\) | 3.12044 | − | 0.620693i | 0.106654 | − | 0.0212149i | ||||
\(857\) | −35.1512 | + | 6.99201i | −1.20074 | + | 0.238842i | −0.754639 | − | 0.656140i | \(-0.772188\pi\) |
−0.446102 | + | 0.894982i | \(0.647188\pi\) | |||||||
\(858\) | 0.0801709 | + | 0.193550i | 0.00273699 | + | 0.00660767i | ||||
\(859\) | −14.2377 | + | 34.3729i | −0.485785 | + | 1.17279i | 0.471037 | + | 0.882114i | \(0.343880\pi\) |
−0.956822 | + | 0.290675i | \(0.906120\pi\) | |||||||
\(860\) | −9.39343 | + | 11.9764i | −0.320313 | + | 0.408392i | ||||
\(861\) | −2.77747 | − | 13.9633i | −0.0946559 | − | 0.475867i | ||||
\(862\) | 17.5932 | + | 3.49951i | 0.599228 | + | 0.119194i | ||||
\(863\) | 25.0129 | 0.851448 | 0.425724 | − | 0.904853i | \(-0.360019\pi\) | ||||
0.425724 | + | 0.904853i | \(0.360019\pi\) | |||||||
\(864\) | 2.92171 | + | 0.581164i | 0.0993986 | + | 0.0197716i | ||||
\(865\) | −3.35806 | − | 10.2486i | −0.114178 | − | 0.348463i | ||||
\(866\) | − | 34.8317i | − | 1.18363i | ||||||
\(867\) | 8.67602 | − | 1.68720i | 0.294653 | − | 0.0573002i | ||||
\(868\) | 19.3638 | − | 19.3638i | 0.657250 | − | 0.657250i | ||||
\(869\) | 1.15677 | + | 2.79269i | 0.0392407 | + | 0.0947355i | ||||
\(870\) | 4.17186 | − | 2.34995i | 0.141439 | − | 0.0796707i | ||||
\(871\) | −4.55426 | + | 4.55426i | −0.154315 | + | 0.154315i | ||||
\(872\) | 0.223471 | − | 1.12347i | 0.00756770 | − | 0.0380454i | ||||
\(873\) | −18.2244 | + | 27.2747i | −0.616802 | + | 0.923110i | ||||
\(874\) | 31.8896 | + | 21.3080i | 1.07868 | + | 0.720753i | ||||
\(875\) | −20.6126 | + | 28.8188i | −0.696833 | + | 0.974254i | ||||
\(876\) | 1.31698 | + | 0.545510i | 0.0444966 | + | 0.0184311i | ||||
\(877\) | 0.803548 | + | 4.03971i | 0.0271339 | + | 0.136411i | 0.991978 | − | 0.126412i | \(-0.0403462\pi\) |
−0.964844 | + | 0.262824i | \(0.915346\pi\) | |||||||
\(878\) | 3.26903 | + | 2.18430i | 0.110324 | + | 0.0737164i | ||||
\(879\) | −1.05656 | − | 1.58126i | −0.0356370 | − | 0.0533345i | ||||
\(880\) | −0.0478075 | + | 0.627317i | −0.00161159 | + | 0.0211468i | ||||
\(881\) | 9.29242 | − | 46.7161i | 0.313069 | − | 1.57391i | −0.428824 | − | 0.903388i | \(-0.641072\pi\) |
0.741893 | − | 0.670518i | \(-0.233928\pi\) | |||||||
\(882\) | −3.17897 | + | 7.67472i | −0.107042 | + | 0.258421i | ||||
\(883\) | −1.23936 | − | 1.23936i | −0.0417078 | − | 0.0417078i | 0.685945 | − | 0.727653i | \(-0.259389\pi\) |
−0.727653 | + | 0.685945i | \(0.759389\pi\) | |||||||
\(884\) | 4.91672 | − | 3.27005i | 0.165367 | − | 0.109984i | ||||
\(885\) | −0.0234682 | + | 0.307944i | −0.000788876 | + | 0.0103514i | ||||
\(886\) | 22.8796 | − | 9.47702i | 0.768654 | − | 0.318387i | ||||
\(887\) | 22.3566 | + | 33.4591i | 0.750662 | + | 1.12345i | 0.988364 | + | 0.152107i | \(0.0486059\pi\) |
−0.237702 | + | 0.971338i | \(0.576394\pi\) | |||||||
\(888\) | − | 4.56193i | − | 0.153088i | ||||||
\(889\) | −10.4737 | + | 6.99829i | −0.351276 | + | 0.234715i | ||||
\(890\) | −16.7154 | + | 2.02041i | −0.560303 | + | 0.0677241i | ||||
\(891\) | 1.03797 | − | 1.55343i | 0.0347732 | − | 0.0520418i | ||||
\(892\) | −17.1177 | + | 7.09037i | −0.573142 | + | 0.237403i | ||||
\(893\) | 18.6995 | − | 7.74560i | 0.625756 | − | 0.259197i | ||||
\(894\) | 4.89236 | − | 7.32193i | 0.163625 | − | 0.244882i | ||||
\(895\) | 28.1674 | + | 22.0924i | 0.941531 | + | 0.738469i | ||||
\(896\) | −2.63501 | + | 1.76066i | −0.0880297 | + | 0.0588195i | ||||
\(897\) | 3.64181i | 0.121597i | ||||||||
\(898\) | 12.6342 | + | 18.9084i | 0.421608 | + | 0.630981i | ||||
\(899\) | −32.8804 | + | 13.6195i | −1.09662 | + | 0.454236i | ||||
\(900\) | 13.4908 | + | 2.06827i | 0.449694 | + | 0.0689423i | ||||
\(901\) | 13.9367 | + | 9.35541i | 0.464299 | + | 0.311674i | ||||
\(902\) | −1.71905 | − | 1.71905i | −0.0572382 | − | 0.0572382i | ||||
\(903\) | 4.29199 | − | 10.3618i | 0.142829 | − | 0.344819i | ||||
\(904\) | −3.25969 | + | 16.3876i | −0.108416 | + | 0.545043i | ||||
\(905\) | 4.68180 | + | 0.356798i | 0.155628 | + | 0.0118604i | ||||
\(906\) | −1.86072 | − | 2.78477i | −0.0618184 | − | 0.0925178i | ||||
\(907\) | −5.00951 | − | 3.34725i | −0.166338 | − | 0.111143i | 0.469615 | − | 0.882871i | \(-0.344393\pi\) |
−0.635953 | + | 0.771728i | \(0.719393\pi\) | |||||||
\(908\) | −0.693206 | − | 3.48498i | −0.0230049 | − | 0.115653i | ||||
\(909\) | −1.39347 | − | 0.577193i | −0.0462184 | − | 0.0191443i | ||||
\(910\) | −4.58496 | + | 9.05388i | −0.151990 | + | 0.300133i | ||||
\(911\) | 41.2026 | + | 27.5307i | 1.36510 | + | 0.912134i | 0.999824 | − | 0.0187636i | \(-0.00597300\pi\) |
0.365281 | + | 0.930897i | \(0.380973\pi\) | |||||||
\(912\) | −2.26503 | + | 3.38986i | −0.0750026 | + | 0.112249i | ||||
\(913\) | −0.604549 | + | 3.03927i | −0.0200077 | + | 0.100585i | ||||
\(914\) | −15.1372 | + | 15.1372i | −0.500694 | + | 0.500694i | ||||
\(915\) | −2.83302 | + | 10.1412i | −0.0936567 | + | 0.335259i | ||||
\(916\) | 10.7267 | + | 25.8965i | 0.354420 | + | 0.855646i | ||||
\(917\) | 37.1722 | − | 37.1722i | 1.22754 | − | 1.22754i | ||||
\(918\) | 11.3375 | + | 4.72459i | 0.374193 | + | 0.155935i | ||||
\(919\) | − | 22.2579i | − | 0.734219i | −0.930178 | − | 0.367109i | \(-0.880347\pi\) | ||
0.930178 | − | 0.367109i | \(-0.119653\pi\) | |||||||
\(920\) | −4.94099 | + | 9.75691i | −0.162900 | + | 0.321676i | ||||
\(921\) | 9.35072 | + | 1.85997i | 0.308117 | + | 0.0612882i | ||||
\(922\) | −32.1892 | −1.06009 | ||||||||
\(923\) | 7.73680 | + | 1.53894i | 0.254660 | + | 0.0506550i | ||||
\(924\) | −0.0904407 | − | 0.454676i | −0.00297528 | − | 0.0149577i | ||||
\(925\) | −1.93959 | − | 43.8290i | −0.0637732 | − | 1.44109i | ||||
\(926\) | −14.7915 | + | 35.7097i | −0.486078 | + | 1.17350i | ||||
\(927\) | 10.0198 | + | 24.1899i | 0.329093 | + | 0.794500i | ||||
\(928\) | 4.03950 | − | 0.803506i | 0.132603 | − | 0.0263764i | ||||
\(929\) | 23.2061 | − | 4.61598i | 0.761368 | − | 0.151445i | 0.200889 | − | 0.979614i | \(-0.435617\pi\) |
0.560479 | + | 0.828169i | \(0.310617\pi\) | |||||||
\(930\) | 9.67539 | + | 2.70288i | 0.317269 | + | 0.0886311i | ||||
\(931\) | −16.8742 | − | 16.8742i | −0.553028 | − | 0.553028i | ||||
\(932\) | 9.05615 | − | 6.05113i | 0.296644 | − | 0.198211i | ||||
\(933\) | 2.83072 | + | 1.17252i | 0.0926736 | + | 0.0383867i | ||||
\(934\) | −2.28843 | −0.0748798 | ||||||||
\(935\) | −0.703273 | + | 2.49684i | −0.0229995 | + | 0.0816554i | ||||
\(936\) | 3.90930 | 0.127779 | ||||||||
\(937\) | −22.7927 | − | 9.44106i | −0.744606 | − | 0.308426i | −0.0220675 | − | 0.999756i | \(-0.507025\pi\) |
−0.722539 | + | 0.691330i | \(0.757025\pi\) | |||||||
\(938\) | 11.8503 | − | 7.91814i | 0.386927 | − | 0.258536i | ||||
\(939\) | 2.01433 | + | 2.01433i | 0.0657352 | + | 0.0657352i | ||||
\(940\) | 2.83260 | + | 5.02871i | 0.0923892 | + | 0.164018i | ||||
\(941\) | 13.2934 | − | 2.64422i | 0.433352 | − | 0.0861990i | 0.0264059 | − | 0.999651i | \(-0.491594\pi\) |
0.406946 | + | 0.913452i | \(0.366594\pi\) | |||||||
\(942\) | 11.8512 | − | 2.35736i | 0.386134 | − | 0.0768069i | ||||
\(943\) | −16.1728 | − | 39.0446i | −0.526658 | − | 1.27147i | ||||
\(944\) | −0.101660 | + | 0.245430i | −0.00330876 | + | 0.00798806i | ||||
\(945\) | −20.9573 | + | 2.53312i | −0.681741 | + | 0.0824024i | ||||
\(946\) | −0.373634 | − | 1.87838i | −0.0121479 | − | 0.0610715i | ||||
\(947\) | 26.1777 | + | 5.20707i | 0.850661 | + | 0.169207i | 0.601121 | − | 0.799158i | \(-0.294721\pi\) |
0.249539 | + | 0.968365i | \(0.419721\pi\) | |||||||
\(948\) | −5.58573 | −0.181416 | ||||||||
\(949\) | 3.85115 | + | 0.766041i | 0.125014 | + | 0.0248668i | ||||
\(950\) | −20.3202 | + | 33.5313i | −0.659273 | + | 1.08790i | ||||
\(951\) | 12.3983i | 0.402042i | ||||||||
\(952\) | −12.0826 | + | 4.97451i | −0.391599 | + | 0.161225i | ||||
\(953\) | −7.02796 | + | 7.02796i | −0.227658 | + | 0.227658i | −0.811714 | − | 0.584056i | \(-0.801465\pi\) |
0.584056 | + | 0.811714i | \(0.301465\pi\) | |||||||
\(954\) | 4.25270 | + | 10.2669i | 0.137686 | + | 0.332404i | ||||
\(955\) | −3.12892 | − | 5.55476i | −0.101249 | − | 0.179748i | ||||
\(956\) | −13.8761 | + | 13.8761i | −0.448784 | + | 0.448784i | ||||
\(957\) | −0.117539 | + | 0.590906i | −0.00379948 | + | 0.0191013i | ||||
\(958\) | 12.4967 | − | 18.7026i | 0.403749 | − | 0.604253i | ||||
\(959\) | −25.3688 | − | 16.9509i | −0.819200 | − | 0.547372i | ||||
\(960\) | −1.03716 | − | 0.525225i | −0.0334741 | − | 0.0169516i | ||||
\(961\) | −40.3445 | − | 16.7112i | −1.30144 | − | 0.539073i | ||||
\(962\) | −2.45153 | − | 12.3247i | −0.0790406 | − | 0.397364i | ||||
\(963\) | 7.22106 | + | 4.82496i | 0.232695 | + | 0.155482i | ||||
\(964\) | 5.03890 | + | 7.54124i | 0.162292 | + | 0.242887i | ||||
\(965\) | 17.2349 | + | 20.0786i | 0.554812 | + | 0.646352i | ||||
\(966\) | 1.57219 | − | 7.90392i | 0.0505843 | − | 0.254305i | ||||
\(967\) | −4.03708 | + | 9.74638i | −0.129824 | + | 0.313422i | −0.975404 | − | 0.220427i | \(-0.929255\pi\) |
0.845580 | + | 0.533849i | \(0.179255\pi\) | |||||||
\(968\) | 7.72220 | + | 7.72220i | 0.248201 | + | 0.248201i | ||||
\(969\) | −11.9116 | + | 11.8608i | −0.382657 | + | 0.381023i | ||||
\(970\) | 20.3897 | − | 17.5020i | 0.654673 | − | 0.561954i | ||||
\(971\) | −26.7504 | + | 11.0804i | −0.858462 | + | 0.355587i | −0.768106 | − | 0.640323i | \(-0.778801\pi\) |
−0.0903564 | + | 0.995909i | \(0.528801\pi\) | |||||||
\(972\) | 6.88308 | + | 10.3013i | 0.220775 | + | 0.330413i | ||||
\(973\) | − | 55.9426i | − | 1.79344i | ||||||
\(974\) | −1.77678 | + | 1.18721i | −0.0569318 | + | 0.0380406i | ||||
\(975\) | −3.71931 | + | 0.164593i | −0.119113 | + | 0.00527118i | ||||
\(976\) | −5.03188 | + | 7.53074i | −0.161066 | + | 0.241053i | ||||
\(977\) | −0.0420147 | + | 0.0174030i | −0.00134417 | + | 0.000556773i | −0.383355 | − | 0.923601i | \(-0.625232\pi\) |
0.382011 | + | 0.924158i | \(0.375232\pi\) | |||||||
\(978\) | −4.75596 | + | 1.96998i | −0.152079 | + | 0.0629931i | ||||
\(979\) | 1.17701 | − | 1.76152i | 0.0376174 | − | 0.0562985i | ||||
\(980\) | 4.19960 | − | 5.35439i | 0.134151 | − | 0.171040i | ||||
\(981\) | 2.59984 | − | 1.73715i | 0.0830064 | − | 0.0554631i | ||||
\(982\) | − | 38.5660i | − | 1.23069i | ||||||
\(983\) | −14.1343 | − | 21.1535i | −0.450815 | − | 0.674693i | 0.534552 | − | 0.845135i | \(-0.320480\pi\) |
−0.985368 | + | 0.170443i | \(0.945480\pi\) | |||||||
\(984\) | 4.15042 | − | 1.71916i | 0.132311 | − | 0.0548049i | ||||
\(985\) | −20.2307 | − | 1.54177i | −0.644603 | − | 0.0491249i | ||||
\(986\) | 16.9815 | + | 0.0363403i | 0.540802 | + | 0.00115731i | ||||
\(987\) | −3.00723 | − | 3.00723i | −0.0957210 | − | 0.0957210i | ||||
\(988\) | −4.29762 | + | 10.3754i | −0.136726 | + | 0.330085i | ||||
\(989\) | 6.49511 | − | 32.6531i | 0.206533 | − | 1.03831i | ||||
\(990\) | −1.30311 | + | 1.11856i | −0.0414156 | + | 0.0355501i | ||||
\(991\) | 1.52850 | + | 2.28756i | 0.0485545 | + | 0.0726669i | 0.854953 | − | 0.518706i | \(-0.173586\pi\) |
−0.806398 | + | 0.591373i | \(0.798586\pi\) | |||||||
\(992\) | 7.18481 | + | 4.80074i | 0.228118 | + | 0.152424i | ||||
\(993\) | −1.40323 | − | 7.05454i | −0.0445303 | − | 0.223869i | ||||
\(994\) | −16.1270 | − | 6.68002i | −0.511518 | − | 0.211877i | ||||
\(995\) | −26.5535 | + | 8.70053i | −0.841801 | + | 0.275825i | ||||
\(996\) | −4.76118 | − | 3.18132i | −0.150864 | − | 0.100804i | ||||
\(997\) | −1.99333 | + | 2.98323i | −0.0631295 | + | 0.0944799i | −0.861691 | − | 0.507433i | \(-0.830595\pi\) |
0.798562 | + | 0.601913i | \(0.205595\pi\) | |||||||
\(998\) | 3.78839 | − | 19.0455i | 0.119919 | − | 0.602876i | ||||
\(999\) | 18.4827 | − | 18.4827i | 0.584766 | − | 0.584766i |
(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 | 170.2.r.b.37.3 | yes | 40 | |
5.2 | odd | 4 | 850.2.s.d.343.3 | 40 | |||
5.3 | odd | 4 | 170.2.o.b.3.3 | ✓ | 40 | ||
5.4 | even | 2 | 850.2.v.d.207.3 | 40 | |||
17.6 | odd | 16 | 170.2.o.b.57.3 | yes | 40 | ||
85.23 | even | 16 | inner | 170.2.r.b.23.3 | yes | 40 | |
85.57 | even | 16 | 850.2.v.d.193.3 | 40 | |||
85.74 | odd | 16 | 850.2.s.d.57.3 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.b.3.3 | ✓ | 40 | 5.3 | odd | 4 | ||
170.2.o.b.57.3 | yes | 40 | 17.6 | odd | 16 | ||
170.2.r.b.23.3 | yes | 40 | 85.23 | even | 16 | inner | |
170.2.r.b.37.3 | yes | 40 | 1.1 | even | 1 | trivial | |
850.2.s.d.57.3 | 40 | 85.74 | odd | 16 | |||
850.2.s.d.343.3 | 40 | 5.2 | odd | 4 | |||
850.2.v.d.193.3 | 40 | 85.57 | even | 16 | |||
850.2.v.d.207.3 | 40 | 5.4 | even | 2 |