Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [116,2,Mod(3,116)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(116, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("116.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 116 = 2^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 116.l (of order \(28\), degree \(12\), 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: | \(0.926264663447\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 116.19 |
Dual form | 116.2.l.b.55.2 |
$q$-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 \(\left(\mathbb{Z}/116\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(89\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32522 | + | 0.493754i | −0.937072 | + | 0.349137i | ||||
\(3\) | −0.981476 | − | 0.343433i | −0.566655 | − | 0.198281i | 0.0317205 | − | 0.999497i | \(-0.489901\pi\) |
−0.598376 | + | 0.801215i | \(0.704187\pi\) | |||||||
\(4\) | 1.51241 | − | 1.30867i | 0.756207 | − | 0.654333i | ||||
\(5\) | −1.24581 | − | 0.284348i | −0.557143 | − | 0.127164i | −0.0653279 | − | 0.997864i | \(-0.520809\pi\) |
−0.491815 | + | 0.870700i | \(0.663666\pi\) | |||||||
\(6\) | 1.47024 | − | 0.0294834i | 0.600224 | − | 0.0120365i | ||||
\(7\) | −0.960687 | − | 1.99489i | −0.363106 | − | 0.753996i | 0.636749 | − | 0.771071i | \(-0.280279\pi\) |
−0.999854 | + | 0.0170750i | \(0.994565\pi\) | |||||||
\(8\) | −1.35812 | + | 2.48103i | −0.480168 | + | 0.877176i | ||||
\(9\) | −1.50015 | − | 1.19633i | −0.500049 | − | 0.398775i | ||||
\(10\) | 1.79137 | − | 0.238300i | 0.566481 | − | 0.0753572i | ||||
\(11\) | 0.611136 | − | 5.42398i | 0.184264 | − | 1.63539i | −0.472525 | − | 0.881317i | \(-0.656657\pi\) |
0.656789 | − | 0.754074i | \(-0.271914\pi\) | |||||||
\(12\) | −1.93384 | + | 0.765010i | −0.558251 | + | 0.220840i | ||||
\(13\) | 3.14757 | − | 2.51011i | 0.872979 | − | 0.696178i | −0.0807854 | − | 0.996732i | \(-0.525743\pi\) |
0.953765 | + | 0.300554i | \(0.0971714\pi\) | |||||||
\(14\) | 2.25810 | + | 2.16932i | 0.603504 | + | 0.579775i | ||||
\(15\) | 1.12508 | + | 0.706933i | 0.290494 | + | 0.182529i | ||||
\(16\) | 0.574790 | − | 3.95849i | 0.143697 | − | 0.989622i | ||||
\(17\) | −3.76942 | + | 3.76942i | −0.914220 | + | 0.914220i | −0.996601 | − | 0.0823812i | \(-0.973747\pi\) |
0.0823812 | + | 0.996601i | \(0.473747\pi\) | |||||||
\(18\) | 2.57871 | + | 0.844692i | 0.607809 | + | 0.199096i | ||||
\(19\) | 0.666071 | + | 1.90352i | 0.152807 | + | 0.436698i | 0.994684 | − | 0.102971i | \(-0.0328350\pi\) |
−0.841877 | + | 0.539669i | \(0.818549\pi\) | |||||||
\(20\) | −2.25630 | + | 1.20030i | −0.504523 | + | 0.268395i | ||||
\(21\) | 0.257781 | + | 2.28787i | 0.0562523 | + | 0.499253i | ||||
\(22\) | 1.86822 | + | 7.48971i | 0.398307 | + | 1.59681i | ||||
\(23\) | −3.45095 | + | 0.787657i | −0.719573 | + | 0.164238i | −0.566601 | − | 0.823993i | \(-0.691742\pi\) |
−0.152972 | + | 0.988230i | \(0.548885\pi\) | |||||||
\(24\) | 2.18503 | − | 1.96865i | 0.446018 | − | 0.401848i | ||||
\(25\) | −3.03366 | − | 1.46093i | −0.606731 | − | 0.292186i | ||||
\(26\) | −2.93185 | + | 4.88057i | −0.574983 | + | 0.957158i | ||||
\(27\) | 2.72116 | + | 4.33071i | 0.523688 | + | 0.833445i | ||||
\(28\) | −4.06360 | − | 1.75988i | −0.767947 | − | 0.332585i | ||||
\(29\) | 5.25014 | + | 1.19835i | 0.974926 | + | 0.222527i | ||||
\(30\) | −1.84003 | − | 0.381330i | −0.335941 | − | 0.0696210i | ||||
\(31\) | 2.15705 | − | 1.35537i | 0.387418 | − | 0.243431i | −0.324213 | − | 0.945984i | \(-0.605100\pi\) |
0.711631 | + | 0.702553i | \(0.247957\pi\) | |||||||
\(32\) | 1.19280 | + | 5.52967i | 0.210859 | + | 0.977517i | ||||
\(33\) | −2.46259 | + | 5.11362i | −0.428682 | + | 0.890167i | ||||
\(34\) | 3.13415 | − | 6.85648i | 0.537502 | − | 1.17588i | ||||
\(35\) | 0.629591 | + | 2.75842i | 0.106420 | + | 0.466258i | ||||
\(36\) | −3.83443 | + | 0.153849i | −0.639072 | + | 0.0256414i | ||||
\(37\) | 2.49407 | − | 0.281015i | 0.410023 | − | 0.0461985i | 0.0954558 | − | 0.995434i | \(-0.469569\pi\) |
0.314567 | + | 0.949235i | \(0.398141\pi\) | |||||||
\(38\) | −1.82256 | − | 2.19371i | −0.295659 | − | 0.355866i | ||||
\(39\) | −3.95132 | + | 1.38263i | −0.632718 | + | 0.221397i | ||||
\(40\) | 2.39744 | − | 2.70471i | 0.379068 | − | 0.427653i | ||||
\(41\) | −0.390752 | − | 0.390752i | −0.0610253 | − | 0.0610253i | 0.675936 | − | 0.736961i | \(-0.263740\pi\) |
−0.736961 | + | 0.675936i | \(0.763740\pi\) | |||||||
\(42\) | −1.47126 | − | 2.90464i | −0.227020 | − | 0.448196i | ||||
\(43\) | −1.05847 | + | 1.68454i | −0.161415 | + | 0.256891i | −0.917633 | − | 0.397430i | \(-0.869902\pi\) |
0.756218 | + | 0.654320i | \(0.227045\pi\) | |||||||
\(44\) | −6.17388 | − | 9.00307i | −0.930748 | − | 1.35726i | ||||
\(45\) | 1.52872 | + | 1.91696i | 0.227889 | + | 0.285763i | ||||
\(46\) | 4.18436 | − | 2.74774i | 0.616950 | − | 0.405132i | ||||
\(47\) | 4.37990 | + | 0.493496i | 0.638874 | + | 0.0719838i | 0.425459 | − | 0.904978i | \(-0.360113\pi\) |
0.213415 | + | 0.976962i | \(0.431541\pi\) | |||||||
\(48\) | −1.92362 | + | 3.68776i | −0.277650 | + | 0.532282i | ||||
\(49\) | 1.30777 | − | 1.63990i | 0.186825 | − | 0.234271i | ||||
\(50\) | 4.74160 | + | 0.438175i | 0.670564 | + | 0.0619673i | ||||
\(51\) | 4.99415 | − | 2.40505i | 0.699320 | − | 0.336775i | ||||
\(52\) | 1.47554 | − | 7.91544i | 0.204621 | − | 1.09767i | ||||
\(53\) | 2.36193 | − | 10.3483i | 0.324436 | − | 1.42145i | −0.505133 | − | 0.863041i | \(-0.668557\pi\) |
0.829569 | − | 0.558404i | \(-0.188586\pi\) | |||||||
\(54\) | −5.74444 | − | 4.39555i | −0.781720 | − | 0.598159i | ||||
\(55\) | −2.30366 | + | 6.58347i | −0.310625 | + | 0.887715i | ||||
\(56\) | 6.25410 | + | 0.325805i | 0.835740 | + | 0.0435376i | ||||
\(57\) | − | 2.09701i | − | 0.277756i | ||||||
\(58\) | −7.54928 | + | 1.00421i | −0.991269 | + | 0.131859i | ||||
\(59\) | − | 6.54153i | − | 0.851635i | −0.904809 | − | 0.425817i | \(-0.859987\pi\) | ||
0.904809 | − | 0.425817i | \(-0.140013\pi\) | |||||||
\(60\) | 2.62672 | − | 0.403175i | 0.339108 | − | 0.0520497i | ||||
\(61\) | 2.25445 | − | 6.44285i | 0.288653 | − | 0.824923i | −0.704668 | − | 0.709537i | \(-0.748904\pi\) |
0.993321 | − | 0.115385i | \(-0.0368103\pi\) | |||||||
\(62\) | −2.18935 | + | 2.86121i | −0.278048 | + | 0.363374i | ||||
\(63\) | −0.945365 | + | 4.14192i | −0.119105 | + | 0.521832i | ||||
\(64\) | −4.31101 | − | 6.73908i | −0.538877 | − | 0.842385i | ||||
\(65\) | −4.63502 | + | 2.23211i | −0.574904 | + | 0.276859i | ||||
\(66\) | 0.738601 | − | 7.99258i | 0.0909155 | − | 0.983819i | ||||
\(67\) | −7.60902 | + | 9.54141i | −0.929590 | + | 1.16567i | 0.0563233 | + | 0.998413i | \(0.482062\pi\) |
−0.985913 | + | 0.167257i | \(0.946509\pi\) | |||||||
\(68\) | −0.768013 | + | 10.6338i | −0.0931353 | + | 1.28954i | ||||
\(69\) | 3.65753 | + | 0.412105i | 0.440315 | + | 0.0496116i | ||||
\(70\) | −2.19633 | − | 3.34465i | −0.262511 | − | 0.399762i | ||||
\(71\) | 4.41333 | + | 5.53414i | 0.523766 | + | 0.656781i | 0.971404 | − | 0.237433i | \(-0.0763062\pi\) |
−0.447638 | + | 0.894215i | \(0.647735\pi\) | |||||||
\(72\) | 5.00550 | − | 2.09715i | 0.589904 | − | 0.247152i | ||||
\(73\) | 0.794644 | − | 1.26467i | 0.0930060 | − | 0.148018i | −0.796981 | − | 0.604005i | \(-0.793571\pi\) |
0.889987 | + | 0.455987i | \(0.150714\pi\) | |||||||
\(74\) | −3.16644 | + | 1.60387i | −0.368091 | + | 0.186446i | ||||
\(75\) | 2.47573 | + | 2.47573i | 0.285872 | + | 0.285872i | ||||
\(76\) | 3.49845 | + | 2.00725i | 0.401299 | + | 0.230247i | ||||
\(77\) | −11.4073 | + | 3.99160i | −1.29999 | + | 0.454885i | ||||
\(78\) | 4.55369 | − | 3.78326i | 0.515604 | − | 0.428370i | ||||
\(79\) | −2.42332 | + | 0.273042i | −0.272644 | + | 0.0307196i | −0.247228 | − | 0.968957i | \(-0.579520\pi\) |
−0.0254163 | + | 0.999677i | \(0.508091\pi\) | |||||||
\(80\) | −1.84167 | + | 4.76808i | −0.205905 | + | 0.533088i | ||||
\(81\) | 0.0974440 | + | 0.426930i | 0.0108271 | + | 0.0474367i | ||||
\(82\) | 0.710768 | + | 0.324897i | 0.0784912 | + | 0.0358789i | ||||
\(83\) | 7.58120 | − | 15.7425i | 0.832145 | − | 1.72797i | 0.160578 | − | 0.987023i | \(-0.448664\pi\) |
0.671567 | − | 0.740944i | \(-0.265622\pi\) | |||||||
\(84\) | 3.38392 | + | 3.12285i | 0.369216 | + | 0.340731i | ||||
\(85\) | 5.76781 | − | 3.62416i | 0.625607 | − | 0.393095i | ||||
\(86\) | 0.570953 | − | 2.75501i | 0.0615675 | − | 0.297081i | ||||
\(87\) | −4.74133 | − | 2.97922i | −0.508324 | − | 0.319406i | ||||
\(88\) | 12.6271 | + | 8.88267i | 1.34605 | + | 0.946895i | ||||
\(89\) | −2.95265 | − | 4.69912i | −0.312981 | − | 0.498106i | 0.652778 | − | 0.757550i | \(-0.273604\pi\) |
−0.965758 | + | 0.259444i | \(0.916461\pi\) | |||||||
\(90\) | −2.97240 | − | 1.78558i | −0.313319 | − | 0.188216i | ||||
\(91\) | −8.03121 | − | 3.86763i | −0.841899 | − | 0.405437i | ||||
\(92\) | −4.18849 | + | 5.70740i | −0.436680 | + | 0.595038i | ||||
\(93\) | −2.58257 | + | 0.589456i | −0.267800 | + | 0.0611237i | ||||
\(94\) | −6.04800 | + | 1.50860i | −0.623803 | + | 0.155601i | ||||
\(95\) | −0.288535 | − | 2.56082i | −0.0296031 | − | 0.262735i | ||||
\(96\) | 0.728371 | − | 5.83688i | 0.0743390 | − | 0.595724i | ||||
\(97\) | 6.34389 | + | 18.1298i | 0.644125 | + | 1.84080i | 0.531293 | + | 0.847188i | \(0.321706\pi\) |
0.112831 | + | 0.993614i | \(0.464008\pi\) | |||||||
\(98\) | −0.923382 | + | 2.81894i | −0.0932756 | + | 0.284756i | ||||
\(99\) | −7.40564 | + | 7.40564i | −0.744295 | + | 0.744295i | ||||
\(100\) | −6.50001 | + | 1.76051i | −0.650001 | + | 0.176051i | ||||
\(101\) | 7.78690 | + | 4.89284i | 0.774826 | + | 0.486855i | 0.860489 | − | 0.509469i | \(-0.170158\pi\) |
−0.0856632 | + | 0.996324i | \(0.527301\pi\) | |||||||
\(102\) | −5.43083 | + | 5.65310i | −0.537733 | + | 0.559741i | ||||
\(103\) | 11.9498 | − | 9.52962i | 1.17745 | − | 0.938981i | 0.178457 | − | 0.983948i | \(-0.442890\pi\) |
0.998988 | + | 0.0449667i | \(0.0143182\pi\) | |||||||
\(104\) | 1.95286 | + | 11.2182i | 0.191494 | + | 1.10004i | ||||
\(105\) | 0.329404 | − | 2.92355i | 0.0321466 | − | 0.285309i | ||||
\(106\) | 1.97943 | + | 14.8800i | 0.192260 | + | 1.44527i | ||||
\(107\) | −7.33499 | − | 5.84946i | −0.709100 | − | 0.565489i | 0.201143 | − | 0.979562i | \(-0.435534\pi\) |
−0.910244 | + | 0.414073i | \(0.864106\pi\) | |||||||
\(108\) | 9.78297 | + | 2.98873i | 0.941367 | + | 0.287590i | ||||
\(109\) | 6.38690 | + | 13.2625i | 0.611754 | + | 1.27032i | 0.944874 | + | 0.327435i | \(0.106184\pi\) |
−0.333120 | + | 0.942885i | \(0.608101\pi\) | |||||||
\(110\) | −0.197766 | − | 9.86199i | −0.0188563 | − | 0.940304i | ||||
\(111\) | −2.54438 | − | 0.580739i | −0.241502 | − | 0.0551213i | ||||
\(112\) | −8.44893 | + | 2.65623i | −0.798349 | + | 0.250990i | ||||
\(113\) | −13.3834 | − | 4.68306i | −1.25900 | − | 0.440545i | −0.383404 | − | 0.923581i | \(-0.625248\pi\) |
−0.875601 | + | 0.483036i | \(0.839534\pi\) | |||||||
\(114\) | 1.03541 | + | 2.77900i | 0.0969749 | + | 0.260277i | ||||
\(115\) | 4.52320 | 0.421790 | ||||||||
\(116\) | 9.50862 | − | 5.05828i | 0.882853 | − | 0.469650i | ||||
\(117\) | −7.72472 | −0.714151 | ||||||||
\(118\) | 3.22991 | + | 8.66896i | 0.297337 | + | 0.798043i | ||||
\(119\) | 11.1408 | + | 3.89834i | 1.02128 | + | 0.357360i | ||||
\(120\) | −3.28191 | + | 1.83125i | −0.299596 | + | 0.167170i | ||||
\(121\) | −18.3219 | − | 4.18184i | −1.66562 | − | 0.380168i | ||||
\(122\) | 0.193542 | + | 9.65134i | 0.0175225 | + | 0.873791i | ||||
\(123\) | 0.249317 | + | 0.517712i | 0.0224801 | + | 0.0466805i | ||||
\(124\) | 1.48864 | − | 4.87274i | 0.133683 | − | 0.437585i | ||||
\(125\) | 8.35926 | + | 6.66628i | 0.747675 | + | 0.596251i | ||||
\(126\) | −0.792272 | − | 5.95573i | −0.0705812 | − | 0.530578i | ||||
\(127\) | 1.79967 | − | 15.9725i | 0.159695 | − | 1.41733i | −0.616755 | − | 0.787155i | \(-0.711553\pi\) |
0.776450 | − | 0.630179i | \(-0.217018\pi\) | |||||||
\(128\) | 9.04049 | + | 6.80217i | 0.799074 | + | 0.601233i | ||||
\(129\) | 1.61739 | − | 1.28983i | 0.142403 | − | 0.113563i | ||||
\(130\) | 5.04031 | − | 5.24659i | 0.442064 | − | 0.460157i | ||||
\(131\) | 13.7449 | + | 8.63652i | 1.20090 | + | 0.754576i | 0.975566 | − | 0.219705i | \(-0.0705096\pi\) |
0.225335 | + | 0.974281i | \(0.427652\pi\) | |||||||
\(132\) | 2.96756 | + | 10.9566i | 0.258293 | + | 0.953651i | ||||
\(133\) | 3.15742 | − | 3.15742i | 0.273783 | − | 0.273783i | ||||
\(134\) | 5.37251 | − | 16.4015i | 0.464114 | − | 1.41687i | ||||
\(135\) | −2.15863 | − | 6.16900i | −0.185785 | − | 0.530943i | ||||
\(136\) | −4.23272 | − | 14.4714i | −0.362953 | − | 1.24091i | ||||
\(137\) | 0.718597 | + | 6.37773i | 0.0613939 | + | 0.544886i | 0.986332 | + | 0.164769i | \(0.0526878\pi\) |
−0.924938 | + | 0.380117i | \(0.875884\pi\) | |||||||
\(138\) | −5.05051 | + | 1.25979i | −0.429928 | + | 0.107241i | ||||
\(139\) | −7.58728 | + | 1.73175i | −0.643545 | + | 0.146885i | −0.531824 | − | 0.846855i | \(-0.678493\pi\) |
−0.111721 | + | 0.993740i | \(0.535636\pi\) | |||||||
\(140\) | 4.56205 | + | 3.34795i | 0.385564 | + | 0.282953i | ||||
\(141\) | −4.12928 | − | 1.98856i | −0.347748 | − | 0.167467i | ||||
\(142\) | −8.58113 | − | 5.15485i | −0.720113 | − | 0.432585i | ||||
\(143\) | −11.6912 | − | 18.6064i | −0.977664 | − | 1.55594i | ||||
\(144\) | −5.59791 | + | 5.25067i | −0.466493 | + | 0.437556i | ||||
\(145\) | −6.19993 | − | 2.98578i | −0.514876 | − | 0.247955i | ||||
\(146\) | −0.428642 | + | 2.06832i | −0.0354747 | + | 0.171176i | ||||
\(147\) | −1.84674 | + | 1.16039i | −0.152317 | + | 0.0957070i | ||||
\(148\) | 3.40432 | − | 3.68892i | 0.279833 | − | 0.303227i | ||||
\(149\) | 8.49670 | − | 17.6436i | 0.696077 | − | 1.44542i | −0.189955 | − | 0.981793i | \(-0.560834\pi\) |
0.886031 | − | 0.463625i | \(-0.153452\pi\) | |||||||
\(150\) | −4.50328 | − | 2.05848i | −0.367692 | − | 0.168074i | ||||
\(151\) | 0.341871 | + | 1.49783i | 0.0278210 | + | 0.121892i | 0.986932 | − | 0.161140i | \(-0.0515170\pi\) |
−0.959111 | + | 0.283032i | \(0.908660\pi\) | |||||||
\(152\) | −5.62730 | − | 0.932671i | −0.456434 | − | 0.0756496i | ||||
\(153\) | 10.1641 | − | 1.14522i | 0.821723 | − | 0.0925859i | ||||
\(154\) | 13.1464 | − | 10.9222i | 1.05936 | − | 0.880133i | ||||
\(155\) | −3.07267 | + | 1.07518i | −0.246803 | + | 0.0863601i | ||||
\(156\) | −4.16663 | + | 7.26206i | −0.333598 | + | 0.581430i | ||||
\(157\) | −1.87342 | − | 1.87342i | −0.149515 | − | 0.149515i | 0.628386 | − | 0.777901i | \(-0.283716\pi\) |
−0.777901 | + | 0.628386i | \(0.783716\pi\) | |||||||
\(158\) | 3.07661 | − | 1.55836i | 0.244762 | − | 0.123977i | ||||
\(159\) | −5.87212 | + | 9.34542i | −0.465689 | + | 0.741140i | ||||
\(160\) | 0.0863520 | − | 7.22809i | 0.00682672 | − | 0.571430i | ||||
\(161\) | 4.88657 | + | 6.12757i | 0.385116 | + | 0.482920i | ||||
\(162\) | −0.339933 | − | 0.517663i | −0.0267077 | − | 0.0406714i | ||||
\(163\) | −11.4671 | − | 1.29203i | −0.898169 | − | 0.101199i | −0.349206 | − | 0.937046i | \(-0.613549\pi\) |
−0.548963 | + | 0.835847i | \(0.684977\pi\) | |||||||
\(164\) | −1.10234 | − | 0.0796151i | −0.0860786 | − | 0.00621689i | ||||
\(165\) | 4.52197 | − | 5.67037i | 0.352035 | − | 0.441438i | ||||
\(166\) | −2.27382 | + | 24.6056i | −0.176482 | + | 1.90976i | ||||
\(167\) | 9.96240 | − | 4.79764i | 0.770913 | − | 0.371252i | −0.00671425 | − | 0.999977i | \(-0.502137\pi\) |
0.777628 | + | 0.628725i | \(0.216423\pi\) | |||||||
\(168\) | −6.02636 | − | 2.46764i | −0.464944 | − | 0.190382i | ||||
\(169\) | 0.713811 | − | 3.12741i | 0.0549086 | − | 0.240570i | ||||
\(170\) | −5.85418 | + | 7.65069i | −0.448995 | + | 0.586781i | ||||
\(171\) | 1.27803 | − | 3.65240i | 0.0977333 | − | 0.279306i | ||||
\(172\) | 0.603661 | + | 3.93291i | 0.0460288 | + | 0.299882i | ||||
\(173\) | − | 5.31412i | − | 0.404025i | −0.979383 | − | 0.202012i | \(-0.935252\pi\) | ||
0.979383 | − | 0.202012i | \(-0.0647481\pi\) | |||||||
\(174\) | 7.75431 | + | 1.60707i | 0.587853 | + | 0.121831i | ||||
\(175\) | 7.45530i | 0.563568i | ||||||||
\(176\) | −21.1195 | − | 5.53682i | −1.59194 | − | 0.417354i | ||||
\(177\) | −2.24658 | + | 6.42035i | −0.168863 | + | 0.482583i | ||||
\(178\) | 6.23313 | + | 4.76948i | 0.467193 | + | 0.357488i | ||||
\(179\) | −2.82475 | + | 12.3761i | −0.211132 | + | 0.925030i | 0.752667 | + | 0.658401i | \(0.228767\pi\) |
−0.963799 | + | 0.266629i | \(0.914090\pi\) | |||||||
\(180\) | 4.82072 | + | 0.898647i | 0.359315 | + | 0.0669812i | ||||
\(181\) | −9.36946 | + | 4.51209i | −0.696427 | + | 0.335381i | −0.748382 | − | 0.663268i | \(-0.769169\pi\) |
0.0519553 | + | 0.998649i | \(0.483455\pi\) | |||||||
\(182\) | 12.5528 | + | 1.16001i | 0.930473 | + | 0.0859857i | ||||
\(183\) | −4.42538 | + | 5.54925i | −0.327133 | + | 0.410212i | ||||
\(184\) | 2.73261 | − | 9.63164i | 0.201451 | − | 0.710054i | ||||
\(185\) | −3.18705 | − | 0.359094i | −0.234316 | − | 0.0264011i | ||||
\(186\) | 3.13143 | − | 2.05631i | 0.229608 | − | 0.150776i | ||||
\(187\) | 18.1416 | + | 22.7489i | 1.32665 | + | 1.66356i | ||||
\(188\) | 7.27004 | − | 4.98545i | 0.530222 | − | 0.363602i | ||||
\(189\) | 6.02509 | − | 9.58887i | 0.438260 | − | 0.697488i | ||||
\(190\) | 1.64679 | + | 3.25119i | 0.119471 | + | 0.235866i | ||||
\(191\) | −12.5832 | − | 12.5832i | −0.910492 | − | 0.910492i | 0.0858189 | − | 0.996311i | \(-0.472649\pi\) |
−0.996311 | + | 0.0858189i | \(0.972649\pi\) | |||||||
\(192\) | 1.91673 | + | 8.09479i | 0.138328 | + | 0.584191i | ||||
\(193\) | −8.28713 | + | 2.89979i | −0.596521 | + | 0.208732i | −0.611616 | − | 0.791154i | \(-0.709480\pi\) |
0.0150957 | + | 0.999886i | \(0.495195\pi\) | |||||||
\(194\) | −17.3587 | − | 20.8936i | −1.24628 | − | 1.50008i | ||||
\(195\) | 5.31574 | − | 0.598940i | 0.380668 | − | 0.0428910i | ||||
\(196\) | −0.168181 | − | 4.19164i | −0.0120129 | − | 0.299403i | ||||
\(197\) | −0.555750 | − | 2.43490i | −0.0395955 | − | 0.173479i | 0.951264 | − | 0.308378i | \(-0.0997862\pi\) |
−0.990859 | + | 0.134899i | \(0.956929\pi\) | |||||||
\(198\) | 6.15753 | − | 13.4707i | 0.437597 | − | 0.957319i | ||||
\(199\) | −8.56848 | + | 17.7926i | −0.607403 | + | 1.26129i | 0.339753 | + | 0.940515i | \(0.389656\pi\) |
−0.947157 | + | 0.320772i | \(0.896058\pi\) | |||||||
\(200\) | 7.74469 | − | 5.54247i | 0.547632 | − | 0.391912i | ||||
\(201\) | 10.7449 | − | 6.75148i | 0.757888 | − | 0.476212i | ||||
\(202\) | −12.7352 | − | 2.63927i | −0.896047 | − | 0.185698i | ||||
\(203\) | −2.65318 | − | 11.6247i | −0.186216 | − | 0.815892i | ||||
\(204\) | 4.40580 | − | 10.1731i | 0.308468 | − | 0.712259i | ||||
\(205\) | 0.375694 | + | 0.597913i | 0.0262396 | + | 0.0417601i | ||||
\(206\) | −11.1308 | + | 18.5291i | −0.775517 | + | 1.29098i | ||||
\(207\) | 6.11922 | + | 2.94686i | 0.425315 | + | 0.204821i | ||||
\(208\) | −8.12703 | − | 13.9024i | −0.563508 | − | 0.963958i | ||||
\(209\) | 10.7317 | − | 2.44945i | 0.742329 | − | 0.169432i | ||||
\(210\) | 1.00698 | + | 4.03698i | 0.0694882 | + | 0.278578i | ||||
\(211\) | −0.561006 | − | 4.97907i | −0.0386213 | − | 0.342773i | −0.998132 | − | 0.0611000i | \(-0.980539\pi\) |
0.959510 | − | 0.281673i | \(-0.0908894\pi\) | |||||||
\(212\) | −9.97023 | − | 18.7419i | −0.684758 | − | 1.28720i | ||||
\(213\) | −2.43097 | − | 6.94731i | −0.166567 | − | 0.476022i | ||||
\(214\) | 12.6087 | + | 4.13014i | 0.861911 | + | 0.282330i | ||||
\(215\) | 1.79765 | − | 1.79765i | 0.122599 | − | 0.122599i | ||||
\(216\) | −14.4403 | + | 0.869663i | −0.982537 | + | 0.0591731i | ||||
\(217\) | −4.77606 | − | 3.00099i | −0.324220 | − | 0.203721i | ||||
\(218\) | −15.0125 | − | 14.4222i | −1.01677 | − | 0.976795i | ||||
\(219\) | −1.21425 | + | 0.968334i | −0.0820516 | + | 0.0654340i | ||||
\(220\) | 5.13148 | + | 12.9716i | 0.345964 | + | 0.874548i | ||||
\(221\) | −2.40288 | + | 21.3262i | −0.161635 | + | 1.43455i | ||||
\(222\) | 3.65861 | − | 0.486693i | 0.245550 | − | 0.0326647i | ||||
\(223\) | 18.4517 | + | 14.7147i | 1.23562 | + | 0.985370i | 0.999908 | + | 0.0135462i | \(0.00431202\pi\) |
0.235707 | + | 0.971824i | \(0.424259\pi\) | |||||||
\(224\) | 9.88516 | − | 7.69178i | 0.660480 | − | 0.513928i | ||||
\(225\) | 2.80317 | + | 5.82085i | 0.186878 | + | 0.388057i | ||||
\(226\) | 20.0482 | − | 0.402035i | 1.33359 | − | 0.0267430i | ||||
\(227\) | 2.76831 | + | 0.631849i | 0.183739 | + | 0.0419373i | 0.313400 | − | 0.949621i | \(-0.398532\pi\) |
−0.129661 | + | 0.991558i | \(0.541389\pi\) | |||||||
\(228\) | −2.74429 | − | 3.17155i | −0.181745 | − | 0.210041i | ||||
\(229\) | 6.53168 | + | 2.28554i | 0.431626 | + | 0.151032i | 0.537343 | − | 0.843364i | \(-0.319428\pi\) |
−0.105717 | + | 0.994396i | \(0.533714\pi\) | |||||||
\(230\) | −5.99423 | + | 2.23335i | −0.395248 | + | 0.147263i | ||||
\(231\) | 12.5669 | 0.826840 | ||||||||
\(232\) | −10.1035 | + | 11.3983i | −0.663324 | + | 0.748332i | ||||
\(233\) | 8.22260 | 0.538680 | 0.269340 | − | 0.963045i | \(-0.413194\pi\) | ||||
0.269340 | + | 0.963045i | \(0.413194\pi\) | |||||||
\(234\) | 10.2370 | − | 3.81411i | 0.669211 | − | 0.249336i | ||||
\(235\) | −5.31620 | − | 1.86022i | −0.346791 | − | 0.121347i | ||||
\(236\) | −8.56067 | − | 9.89350i | −0.557252 | − | 0.644012i | ||||
\(237\) | 2.47220 | + | 0.564263i | 0.160587 | + | 0.0366528i | ||||
\(238\) | −16.6888 | + | 0.334668i | −1.08178 | + | 0.0216933i | ||||
\(239\) | 10.7142 | + | 22.2482i | 0.693042 | + | 1.43912i | 0.888721 | + | 0.458449i | \(0.151595\pi\) |
−0.195678 | + | 0.980668i | \(0.562691\pi\) | |||||||
\(240\) | 3.44507 | − | 4.04727i | 0.222378 | − | 0.261250i | ||||
\(241\) | −1.81560 | − | 1.44790i | −0.116953 | − | 0.0932671i | 0.563267 | − | 0.826275i | \(-0.309544\pi\) |
−0.680220 | + | 0.733008i | \(0.738116\pi\) | |||||||
\(242\) | 26.3453 | − | 3.50463i | 1.69354 | − | 0.225286i | ||||
\(243\) | 1.76896 | − | 15.7000i | 0.113479 | − | 1.00715i | ||||
\(244\) | −5.02187 | − | 12.6946i | −0.321493 | − | 0.812687i | ||||
\(245\) | −2.09554 | + | 1.67114i | −0.133879 | + | 0.106765i | ||||
\(246\) | −0.586022 | − | 0.562980i | −0.0373634 | − | 0.0358943i | ||||
\(247\) | 6.87455 | + | 4.31956i | 0.437417 | + | 0.274847i | ||||
\(248\) | 0.433165 | + | 7.19246i | 0.0275060 | + | 0.456722i | ||||
\(249\) | −12.8473 | + | 12.8473i | −0.814163 | + | 0.814163i | ||||
\(250\) | −14.3694 | − | 4.70687i | −0.908798 | − | 0.297689i | ||||
\(251\) | −0.343202 | − | 0.980816i | −0.0216627 | − | 0.0619086i | 0.932544 | − | 0.361056i | \(-0.117584\pi\) |
−0.954207 | + | 0.299147i | \(0.903298\pi\) | |||||||
\(252\) | 3.99060 | + | 7.50146i | 0.251384 | + | 0.472547i | ||||
\(253\) | 2.16324 | + | 19.1993i | 0.136001 | + | 1.20705i | ||||
\(254\) | 5.50155 | + | 22.0557i | 0.345198 | + | 1.38390i | ||||
\(255\) | −6.90563 | + | 1.57616i | −0.432447 | + | 0.0987033i | ||||
\(256\) | −15.3392 | − | 4.55059i | −0.958702 | − | 0.284412i | ||||
\(257\) | −3.96986 | − | 1.91178i | −0.247633 | − | 0.119254i | 0.305951 | − | 0.952047i | \(-0.401026\pi\) |
−0.553584 | + | 0.832794i | \(0.686740\pi\) | |||||||
\(258\) | −1.50654 | + | 2.50790i | −0.0937931 | + | 0.156135i | ||||
\(259\) | −2.95662 | − | 4.70543i | −0.183715 | − | 0.292381i | ||||
\(260\) | −4.08899 | + | 9.44156i | −0.253588 | + | 0.585541i | ||||
\(261\) | −6.44236 | − | 8.07857i | −0.398772 | − | 0.500051i | ||||
\(262\) | −22.4794 | − | 4.65866i | −1.38878 | − | 0.287813i | ||||
\(263\) | 1.26832 | − | 0.796939i | 0.0782080 | − | 0.0491414i | −0.492360 | − | 0.870391i | \(-0.663866\pi\) |
0.570568 | + | 0.821250i | \(0.306723\pi\) | |||||||
\(264\) | −9.34255 | − | 13.0547i | −0.574994 | − | 0.803460i | ||||
\(265\) | −5.88503 | + | 12.2204i | −0.361514 | + | 0.750692i | ||||
\(266\) | −2.62529 | + | 5.74327i | −0.160967 | + | 0.352143i | ||||
\(267\) | 1.28412 | + | 5.62612i | 0.0785871 | + | 0.344313i | ||||
\(268\) | 0.978527 | + | 24.3882i | 0.0597731 | + | 1.48975i | ||||
\(269\) | −13.3174 | + | 1.50051i | −0.811976 | + | 0.0914877i | −0.508182 | − | 0.861250i | \(-0.669682\pi\) |
−0.303794 | + | 0.952738i | \(0.598254\pi\) | |||||||
\(270\) | 5.90662 | + | 7.10944i | 0.359465 | + | 0.432667i | ||||
\(271\) | −18.3901 | + | 6.43498i | −1.11712 | + | 0.390897i | −0.824801 | − | 0.565424i | \(-0.808713\pi\) |
−0.292319 | + | 0.956321i | \(0.594427\pi\) | |||||||
\(272\) | 12.7546 | + | 17.0878i | 0.773361 | + | 1.03610i | ||||
\(273\) | 6.55417 | + | 6.55417i | 0.396676 | + | 0.396676i | ||||
\(274\) | −4.10133 | − | 8.09708i | −0.247770 | − | 0.489162i | ||||
\(275\) | −9.77804 | + | 15.5617i | −0.589638 | + | 0.938403i | ||||
\(276\) | 6.07101 | − | 4.16321i | 0.365432 | − | 0.250596i | ||||
\(277\) | −1.71849 | − | 2.15491i | −0.103254 | − | 0.129476i | 0.727520 | − | 0.686087i | \(-0.240673\pi\) |
−0.830774 | + | 0.556611i | \(0.812102\pi\) | |||||||
\(278\) | 9.19976 | − | 6.04120i | 0.551765 | − | 0.362327i | ||||
\(279\) | −4.85735 | − | 0.547292i | −0.290802 | − | 0.0327655i | ||||
\(280\) | −7.69878 | − | 2.18423i | −0.460090 | − | 0.130533i | ||||
\(281\) | 17.7476 | − | 22.2548i | 1.05873 | − | 1.32761i | 0.116299 | − | 0.993214i | \(-0.462897\pi\) |
0.942433 | − | 0.334394i | \(-0.108532\pi\) | |||||||
\(282\) | 6.45407 | + | 0.596425i | 0.384334 | + | 0.0355166i | ||||
\(283\) | 26.6383 | − | 12.8283i | 1.58348 | − | 0.762565i | 0.584670 | − | 0.811272i | \(-0.301224\pi\) |
0.998813 | + | 0.0487065i | \(0.0155099\pi\) | |||||||
\(284\) | 13.9171 | + | 2.59434i | 0.825829 | + | 0.153946i | ||||
\(285\) | −0.596281 | + | 2.61248i | −0.0353206 | + | 0.154750i | ||||
\(286\) | 24.6803 | + | 18.8850i | 1.45938 | + | 1.11669i | ||||
\(287\) | −0.404116 | + | 1.15490i | −0.0238542 | + | 0.0681715i | ||||
\(288\) | 4.82592 | − | 9.72228i | 0.284370 | − | 0.572891i | ||||
\(289\) | − | 11.4171i | − | 0.671595i | ||||||
\(290\) | 9.69051 | + | 0.895571i | 0.569046 | + | 0.0525897i | ||||
\(291\) | − | 19.9727i | − | 1.17082i | ||||||
\(292\) | −0.453198 | − | 2.95262i | −0.0265214 | − | 0.172789i | ||||
\(293\) | −0.376092 | + | 1.07481i | −0.0219715 | + | 0.0627910i | −0.954347 | − | 0.298701i | \(-0.903447\pi\) |
0.932375 | + | 0.361492i | \(0.117732\pi\) | |||||||
\(294\) | 1.87440 | − | 2.44960i | 0.109317 | − | 0.142864i | ||||
\(295\) | −1.86007 | + | 8.14950i | −0.108298 | + | 0.474482i | ||||
\(296\) | −2.69005 | + | 6.56952i | −0.156356 | + | 0.381846i | ||||
\(297\) | 25.1527 | − | 12.1129i | 1.45951 | − | 0.702861i | ||||
\(298\) | −2.54840 | + | 27.5769i | −0.147625 | + | 1.59749i | ||||
\(299\) | −8.88502 | + | 11.1415i | −0.513834 | + | 0.644327i | ||||
\(300\) | 6.98422 | + | 0.504425i | 0.403234 | + | 0.0291230i | ||||
\(301\) | 4.37733 | + | 0.493207i | 0.252305 | + | 0.0284280i | ||||
\(302\) | −1.19261 | − | 1.81616i | −0.0686273 | − | 0.104508i | ||||
\(303\) | −5.96230 | − | 7.47648i | −0.342525 | − | 0.429513i | ||||
\(304\) | 7.91791 | − | 1.54251i | 0.454124 | − | 0.0884689i | ||||
\(305\) | −4.64063 | + | 7.38552i | −0.265722 | + | 0.422894i | ||||
\(306\) | −12.9043 | + | 6.53626i | −0.737688 | + | 0.373653i | ||||
\(307\) | −4.47358 | − | 4.47358i | −0.255320 | − | 0.255320i | 0.567827 | − | 0.823148i | \(-0.307784\pi\) |
−0.823148 | + | 0.567827i | \(0.807784\pi\) | |||||||
\(308\) | −12.0289 | + | 20.9653i | −0.685413 | + | 1.19461i | ||||
\(309\) | −15.0012 | + | 5.24914i | −0.853388 | + | 0.298613i | ||||
\(310\) | 3.54110 | − | 2.94199i | 0.201121 | − | 0.167094i | ||||
\(311\) | −29.3614 | + | 3.30823i | −1.66493 | + | 0.187593i | −0.893607 | − | 0.448851i | \(-0.851833\pi\) |
−0.771323 | + | 0.636443i | \(0.780405\pi\) | |||||||
\(312\) | 1.93603 | − | 11.6811i | 0.109606 | − | 0.661313i | ||||
\(313\) | −2.46431 | − | 10.7969i | −0.139291 | − | 0.610274i | −0.995591 | − | 0.0937959i | \(-0.970100\pi\) |
0.856300 | − | 0.516478i | \(-0.172757\pi\) | |||||||
\(314\) | 3.40770 | + | 1.55768i | 0.192308 | + | 0.0879052i | ||||
\(315\) | 2.35549 | − | 4.89123i | 0.132717 | − | 0.275589i | ||||
\(316\) | −3.30774 | + | 3.58426i | −0.186075 | + | 0.201631i | ||||
\(317\) | −12.2202 | + | 7.67847i | −0.686355 | + | 0.431266i | −0.829553 | − | 0.558428i | \(-0.811405\pi\) |
0.143197 | + | 0.989694i | \(0.454262\pi\) | |||||||
\(318\) | 3.16750 | − | 15.2841i | 0.177625 | − | 0.857091i | ||||
\(319\) | 9.70835 | − | 27.7443i | 0.543563 | − | 1.55338i | ||||
\(320\) | 3.45446 | + | 9.62144i | 0.193110 | + | 0.537855i | ||||
\(321\) | 5.19022 | + | 8.26019i | 0.289690 | + | 0.461039i | ||||
\(322\) | −9.50129 | − | 5.70760i | −0.529486 | − | 0.318072i | ||||
\(323\) | −9.68588 | − | 4.66448i | −0.538937 | − | 0.259538i | ||||
\(324\) | 0.706084 | + | 0.518173i | 0.0392269 | + | 0.0287874i | ||||
\(325\) | −13.2157 | + | 3.01641i | −0.733077 | + | 0.167320i | ||||
\(326\) | 15.8343 | − | 3.94969i | 0.876981 | − | 0.218753i | ||||
\(327\) | −1.71379 | − | 15.2103i | −0.0947729 | − | 0.841133i | ||||
\(328\) | 1.50016 | − | 0.438779i | 0.0828323 | − | 0.0242275i | ||||
\(329\) | −3.22324 | − | 9.21150i | −0.177703 | − | 0.507847i | ||||
\(330\) | −3.19283 | + | 9.74722i | −0.175760 | + | 0.536567i | ||||
\(331\) | 12.3282 | − | 12.3282i | 0.677618 | − | 0.677618i | −0.281843 | − | 0.959461i | \(-0.590946\pi\) |
0.959461 | + | 0.281843i | \(0.0909457\pi\) | |||||||
\(332\) | −9.13579 | − | 33.7305i | −0.501392 | − | 1.85120i | ||||
\(333\) | −4.07766 | − | 2.56216i | −0.223454 | − | 0.140406i | ||||
\(334\) | −10.8335 | + | 11.2769i | −0.592783 | + | 0.617044i | ||||
\(335\) | 12.1925 | − | 9.72318i | 0.666146 | − | 0.531234i | ||||
\(336\) | 9.20465 | + | 0.294621i | 0.502155 | + | 0.0160729i | ||||
\(337\) | 1.81758 | − | 16.1315i | 0.0990100 | − | 0.878738i | −0.841797 | − | 0.539794i | \(-0.818502\pi\) |
0.940807 | − | 0.338943i | \(-0.110069\pi\) | |||||||
\(338\) | 0.598216 | + | 4.49695i | 0.0325387 | + | 0.244602i | ||||
\(339\) | 11.5272 | + | 9.19261i | 0.626070 | + | 0.499274i | ||||
\(340\) | 3.98051 | − | 13.0294i | 0.215874 | − | 0.706617i | ||||
\(341\) | −6.03323 | − | 12.5281i | −0.326718 | − | 0.678436i | ||||
\(342\) | 0.109717 | + | 5.47126i | 0.00593284 | + | 0.295852i | ||||
\(343\) | −19.6383 | − | 4.48231i | −1.06037 | − | 0.242022i | ||||
\(344\) | −2.74187 | − | 4.91391i | −0.147832 | − | 0.264940i | ||||
\(345\) | −4.43941 | − | 1.55342i | −0.239010 | − | 0.0836331i | ||||
\(346\) | 2.62387 | + | 7.04237i | 0.141060 | + | 0.378600i | ||||
\(347\) | −4.16954 | −0.223832 | −0.111916 | − | 0.993718i | \(-0.535699\pi\) | ||||
−0.111916 | + | 0.993718i | \(0.535699\pi\) | |||||||
\(348\) | −11.0697 | + | 1.69901i | −0.593396 | + | 0.0910763i | ||||
\(349\) | 6.71460 | 0.359424 | 0.179712 | − | 0.983719i | \(-0.442483\pi\) | ||||
0.179712 | + | 0.983719i | \(0.442483\pi\) | |||||||
\(350\) | −3.68108 | − | 9.87991i | −0.196762 | − | 0.528103i | ||||
\(351\) | 19.4356 | + | 6.80081i | 1.03740 | + | 0.363000i | ||||
\(352\) | 30.7218 | − | 3.09033i | 1.63748 | − | 0.164715i | ||||
\(353\) | 20.0205 | + | 4.56956i | 1.06559 | + | 0.243213i | 0.719146 | − | 0.694859i | \(-0.244533\pi\) |
0.346440 | + | 0.938072i | \(0.387390\pi\) | |||||||
\(354\) | −0.192866 | − | 9.61764i | −0.0102507 | − | 0.511172i | ||||
\(355\) | −3.92455 | − | 8.14940i | −0.208293 | − | 0.432526i | ||||
\(356\) | −10.6152 | − | 3.24298i | −0.562605 | − | 0.171878i | ||||
\(357\) | −9.59562 | − | 7.65225i | −0.507854 | − | 0.405000i | ||||
\(358\) | −2.36731 | − | 17.7957i | −0.125116 | − | 0.940533i | ||||
\(359\) | −0.960668 | + | 8.52617i | −0.0507021 | + | 0.449994i | 0.942554 | + | 0.334054i | \(0.108417\pi\) |
−0.993256 | + | 0.115940i | \(0.963012\pi\) | |||||||
\(360\) | −6.83222 | + | 1.18935i | −0.360090 | + | 0.0626841i | ||||
\(361\) | 11.6751 | − | 9.31055i | 0.614477 | − | 0.490029i | ||||
\(362\) | 10.1887 | − | 10.6057i | 0.535508 | − | 0.557425i | ||||
\(363\) | 16.5463 | + | 10.3967i | 0.868454 | + | 0.545686i | ||||
\(364\) | −17.2079 | + | 4.66071i | −0.901941 | + | 0.244288i | ||||
\(365\) | −1.34958 | + | 1.34958i | −0.0706403 | + | 0.0706403i | ||||
\(366\) | 3.12463 | − | 9.53902i | 0.163327 | − | 0.498613i | ||||
\(367\) | −7.05643 | − | 20.1661i | −0.368342 | − | 1.05266i | −0.967683 | − | 0.252168i | \(-0.918856\pi\) |
0.599341 | − | 0.800494i | \(-0.295429\pi\) | |||||||
\(368\) | 1.13436 | + | 14.1133i | 0.0591325 | + | 0.735706i | ||||
\(369\) | 0.118718 | + | 1.05365i | 0.00618022 | + | 0.0548510i | ||||
\(370\) | 4.40084 | − | 1.09774i | 0.228789 | − | 0.0570688i | ||||
\(371\) | −22.9127 | + | 5.22968i | −1.18957 | + | 0.271511i | ||||
\(372\) | −3.13452 | + | 4.27123i | −0.162517 | + | 0.221453i | ||||
\(373\) | 0.851739 | + | 0.410176i | 0.0441014 | + | 0.0212381i | 0.455804 | − | 0.890080i | \(-0.349352\pi\) |
−0.411703 | + | 0.911318i | \(0.635066\pi\) | |||||||
\(374\) | −35.2740 | − | 21.1898i | −1.82398 | − | 1.09570i | ||||
\(375\) | −5.91498 | − | 9.41364i | −0.305449 | − | 0.486119i | ||||
\(376\) | −7.17281 | + | 10.1964i | −0.369910 | + | 0.525841i | ||||
\(377\) | 19.5332 | − | 9.40652i | 1.00601 | − | 0.484461i | ||||
\(378\) | −3.25002 | + | 15.6823i | −0.167163 | + | 0.806609i | ||||
\(379\) | −0.903978 | + | 0.568007i | −0.0464342 | + | 0.0291765i | −0.555049 | − | 0.831818i | \(-0.687301\pi\) |
0.508615 | + | 0.860994i | \(0.330158\pi\) | |||||||
\(380\) | −3.78764 | − | 3.49543i | −0.194302 | − | 0.179312i | ||||
\(381\) | −7.25184 | + | 15.0586i | −0.371523 | + | 0.771475i | ||||
\(382\) | 22.8886 | + | 10.4625i | 1.17108 | + | 0.535310i | ||||
\(383\) | −0.374105 | − | 1.63906i | −0.0191159 | − | 0.0837522i | 0.964470 | − | 0.264192i | \(-0.0851052\pi\) |
−0.983586 | + | 0.180439i | \(0.942248\pi\) | |||||||
\(384\) | −6.53693 | − | 9.78098i | −0.333586 | − | 0.499133i | ||||
\(385\) | 15.3464 | − | 1.72912i | 0.782124 | − | 0.0881242i | ||||
\(386\) | 9.55048 | − | 7.93467i | 0.486107 | − | 0.403864i | ||||
\(387\) | 3.60312 | − | 1.26079i | 0.183157 | − | 0.0640894i | ||||
\(388\) | 33.3204 | + | 19.1177i | 1.69159 | + | 0.970555i | ||||
\(389\) | −5.20815 | − | 5.20815i | −0.264064 | − | 0.264064i | 0.562639 | − | 0.826703i | \(-0.309786\pi\) |
−0.826703 | + | 0.562639i | \(0.809786\pi\) | |||||||
\(390\) | −6.74880 | + | 3.41840i | −0.341739 | + | 0.173097i | ||||
\(391\) | 10.0391 | − | 15.9771i | 0.507698 | − | 0.807997i | ||||
\(392\) | 2.29252 | + | 5.47180i | 0.115790 | + | 0.276368i | ||||
\(393\) | −10.5243 | − | 13.1970i | −0.530879 | − | 0.665701i | ||||
\(394\) | 1.93873 | + | 2.95237i | 0.0976719 | + | 0.148738i | ||||
\(395\) | 3.09663 | + | 0.348907i | 0.155808 | + | 0.0175554i | ||||
\(396\) | −1.50889 | + | 20.8919i | −0.0758244 | + | 1.04986i | ||||
\(397\) | −12.7966 | + | 16.0464i | −0.642242 | + | 0.805345i | −0.991281 | − | 0.131763i | \(-0.957936\pi\) |
0.349040 | + | 0.937108i | \(0.386508\pi\) | |||||||
\(398\) | 2.56993 | − | 27.8099i | 0.128819 | − | 1.39398i | ||||
\(399\) | −4.18330 | + | 2.01457i | −0.209427 | + | 0.100855i | ||||
\(400\) | −7.52679 | + | 11.1690i | −0.376340 | + | 0.558448i | ||||
\(401\) | −8.79626 | + | 38.5389i | −0.439264 | + | 1.92454i | −0.0630490 | + | 0.998010i | \(0.520082\pi\) |
−0.376215 | + | 0.926532i | \(0.622775\pi\) | |||||||
\(402\) | −10.9058 | + | 14.2525i | −0.543932 | + | 0.710852i | ||||
\(403\) | 3.38737 | − | 9.68054i | 0.168737 | − | 0.482222i | ||||
\(404\) | 18.1801 | − | 2.79046i | 0.904494 | − | 0.138831i | ||||
\(405\) | − | 0.559582i | − | 0.0278058i | ||||||
\(406\) | 9.25577 | + | 14.0952i | 0.459356 | + | 0.699534i | ||||
\(407\) | − | 13.6995i | − | 0.679061i | ||||||
\(408\) | −0.815644 | + | 15.6570i | −0.0403804 | + | 0.775136i | ||||
\(409\) | −1.16124 | + | 3.31863i | −0.0574195 | + | 0.164095i | −0.969020 | − | 0.246981i | \(-0.920561\pi\) |
0.911601 | + | 0.411077i | \(0.134847\pi\) | |||||||
\(410\) | −0.793099 | − | 0.606866i | −0.0391683 | − | 0.0299710i | ||||
\(411\) | 1.48504 | − | 6.50638i | 0.0732515 | − | 0.320936i | ||||
\(412\) | 5.60190 | − | 30.0510i | 0.275986 | − | 1.48050i | ||||
\(413\) | −13.0496 | + | 6.28436i | −0.642129 | + | 0.309233i | ||||
\(414\) | −9.56434 | − | 0.883848i | −0.470062 | − | 0.0434388i | ||||
\(415\) | −13.9211 | + | 17.4565i | −0.683360 | + | 0.856906i | ||||
\(416\) | 17.6345 | + | 14.4110i | 0.864601 | + | 0.706557i | ||||
\(417\) | 8.04148 | + | 0.906057i | 0.393793 | + | 0.0443698i | ||||
\(418\) | −13.0125 | + | 8.54488i | −0.636460 | + | 0.417944i | ||||
\(419\) | 8.00143 | + | 10.0335i | 0.390896 | + | 0.490168i | 0.937872 | − | 0.346980i | \(-0.112793\pi\) |
−0.546977 | + | 0.837148i | \(0.684221\pi\) | |||||||
\(420\) | −3.32775 | − | 4.85269i | −0.162377 | − | 0.236787i | ||||
\(421\) | 9.45773 | − | 15.0519i | 0.460942 | − | 0.733584i | −0.532684 | − | 0.846314i | \(-0.678817\pi\) |
0.993626 | + | 0.112730i | \(0.0359595\pi\) | |||||||
\(422\) | 3.20189 | + | 6.32136i | 0.155866 | + | 0.307719i | ||||
\(423\) | −5.98011 | − | 5.98011i | −0.290763 | − | 0.290763i | ||||
\(424\) | 22.4666 | + | 19.9142i | 1.09107 | + | 0.967120i | ||||
\(425\) | 16.9420 | − | 5.92826i | 0.821808 | − | 0.287563i | ||||
\(426\) | 6.65183 | + | 8.00641i | 0.322282 | + | 0.387912i | ||||
\(427\) | −15.0186 | + | 1.69219i | −0.726800 | + | 0.0818907i | ||||
\(428\) | −18.7485 | + | 0.752246i | −0.906244 | + | 0.0363612i | ||||
\(429\) | 5.08455 | + | 22.2769i | 0.245484 | + | 1.07554i | ||||
\(430\) | −1.49468 | + | 3.26988i | −0.0720800 | + | 0.157687i | ||||
\(431\) | −8.17760 | + | 16.9810i | −0.393901 | + | 0.817945i | 0.605849 | + | 0.795580i | \(0.292834\pi\) |
−0.999750 | + | 0.0223646i | \(0.992881\pi\) | |||||||
\(432\) | 18.7071 | − | 8.28244i | 0.900048 | − | 0.398489i | ||||
\(433\) | −24.5410 | + | 15.4202i | −1.17937 | + | 0.741045i | −0.971483 | − | 0.237108i | \(-0.923800\pi\) |
−0.207884 | + | 0.978154i | \(0.566658\pi\) | |||||||
\(434\) | 7.81108 | + | 1.61878i | 0.374944 | + | 0.0777039i | ||||
\(435\) | 5.05967 | + | 5.05973i | 0.242592 | + | 0.242596i | ||||
\(436\) | 27.0158 | + | 11.7001i | 1.29382 | + | 0.560334i | ||||
\(437\) | −3.79790 | − | 6.04432i | −0.181678 | − | 0.289139i | ||||
\(438\) | 1.13103 | − | 1.88280i | 0.0540428 | − | 0.0899636i | ||||
\(439\) | 24.6133 | + | 11.8532i | 1.17473 | + | 0.565721i | 0.916372 | − | 0.400328i | \(-0.131104\pi\) |
0.258359 | + | 0.966049i | \(0.416818\pi\) | |||||||
\(440\) | −13.2051 | − | 14.6566i | −0.629531 | − | 0.698726i | ||||
\(441\) | −3.92370 | + | 0.895560i | −0.186843 | + | 0.0426457i | ||||
\(442\) | −7.34554 | − | 29.4483i | −0.349392 | − | 1.40071i | ||||
\(443\) | 3.22173 | + | 28.5937i | 0.153069 | + | 1.35853i | 0.801838 | + | 0.597541i | \(0.203856\pi\) |
−0.648769 | + | 0.760985i | \(0.724716\pi\) | |||||||
\(444\) | −4.60815 | + | 2.45143i | −0.218693 | + | 0.116340i | ||||
\(445\) | 2.34226 | + | 6.69380i | 0.111034 | + | 0.317316i | ||||
\(446\) | −31.7180 | − | 10.3896i | −1.50189 | − | 0.491964i | ||||
\(447\) | −14.3987 | + | 14.3987i | −0.681035 | + | 0.681035i | ||||
\(448\) | −9.30216 | + | 15.0741i | −0.439486 | + | 0.712186i | ||||
\(449\) | 17.9026 | + | 11.2489i | 0.844875 | + | 0.530870i | 0.883526 | − | 0.468382i | \(-0.155163\pi\) |
−0.0386506 | + | 0.999253i | \(0.512306\pi\) | |||||||
\(450\) | −6.58889 | − | 6.32983i | −0.310603 | − | 0.298391i | ||||
\(451\) | −2.35824 | + | 1.88063i | −0.111045 | + | 0.0885554i | ||||
\(452\) | −26.3698 | + | 10.4317i | −1.24033 | + | 0.490665i | ||||
\(453\) | 0.178868 | − | 1.58750i | 0.00840395 | − | 0.0745871i | ||||
\(454\) | −3.98060 | + | 0.529527i | −0.186819 | + | 0.0248519i | ||||
\(455\) | 8.90561 | + | 7.10198i | 0.417501 | + | 0.332946i | ||||
\(456\) | 5.20275 | + | 2.84800i | 0.243641 | + | 0.133370i | ||||
\(457\) | −12.5898 | − | 26.1429i | −0.588924 | − | 1.22291i | −0.956176 | − | 0.292792i | \(-0.905416\pi\) |
0.367252 | − | 0.930122i | \(-0.380299\pi\) | |||||||
\(458\) | −9.78441 | + | 0.196211i | −0.457195 | + | 0.00916832i | ||||
\(459\) | −26.5815 | − | 6.06705i | −1.24072 | − | 0.283186i | ||||
\(460\) | 6.84095 | − | 5.91935i | 0.318961 | − | 0.275991i | ||||
\(461\) | −10.1240 | − | 3.54255i | −0.471523 | − | 0.164993i | 0.0840489 | − | 0.996462i | \(-0.473215\pi\) |
−0.555572 | + | 0.831469i | \(0.687501\pi\) | |||||||
\(462\) | −16.6539 | + | 6.20495i | −0.774808 | + | 0.288680i | ||||
\(463\) | 20.2830 | 0.942633 | 0.471316 | − | 0.881964i | \(-0.343779\pi\) | ||||
0.471316 | + | 0.881964i | \(0.343779\pi\) | |||||||
\(464\) | 7.76136 | − | 20.0938i | 0.360312 | − | 0.932832i | ||||
\(465\) | 3.38501 | 0.156976 | ||||||||
\(466\) | −10.8967 | + | 4.05994i | −0.504782 | + | 0.188073i | ||||
\(467\) | 33.6086 | + | 11.7602i | 1.55522 | + | 0.544196i | 0.964820 | − | 0.262913i | \(-0.0846832\pi\) |
0.590403 | + | 0.807109i | \(0.298969\pi\) | |||||||
\(468\) | −11.6830 | + | 10.1091i | −0.540046 | + | 0.467292i | ||||
\(469\) | 26.3439 | + | 6.01283i | 1.21645 | + | 0.277647i | ||||
\(470\) | 7.96362 | − | 0.159698i | 0.367334 | − | 0.00736631i | ||||
\(471\) | 1.19532 | + | 2.48211i | 0.0550775 | + | 0.114370i | ||||
\(472\) | 16.2297 | + | 8.88419i | 0.747034 | + | 0.408928i | ||||
\(473\) | 8.49007 | + | 6.77060i | 0.390374 | + | 0.311313i | ||||
\(474\) | −3.55481 | + | 0.472886i | −0.163278 | + | 0.0217204i | ||||
\(475\) | 0.760285 | − | 6.74771i | 0.0348842 | − | 0.309606i | ||||
\(476\) | 21.9511 | − | 8.68369i | 1.00613 | − | 0.398016i | ||||
\(477\) | −15.9232 | + | 12.6983i | −0.729071 | + | 0.581415i | ||||
\(478\) | −25.1838 | − | 24.1936i | −1.15188 | − | 1.10659i | ||||
\(479\) | 18.5045 | + | 11.6272i | 0.845493 | + | 0.531258i | 0.883723 | − | 0.468011i | \(-0.155029\pi\) |
−0.0382302 | + | 0.999269i | \(0.512172\pi\) | |||||||
\(480\) | −2.56712 | + | 7.06454i | −0.117172 | + | 0.322451i | ||||
\(481\) | 7.14490 | − | 7.14490i | 0.325779 | − | 0.325779i | ||||
\(482\) | 3.12098 | + | 1.02232i | 0.142157 | + | 0.0465653i | ||||
\(483\) | −2.69164 | − | 7.69227i | −0.122474 | − | 0.350010i | ||||
\(484\) | −33.1829 | + | 17.6525i | −1.50831 | + | 0.802387i | ||||
\(485\) | −2.74811 | − | 24.3902i | −0.124785 | − | 1.10750i | ||||
\(486\) | 5.40767 | + | 21.6794i | 0.245297 | + | 0.983396i | ||||
\(487\) | −12.1408 | + | 2.77105i | −0.550150 | + | 0.125568i | −0.488555 | − | 0.872533i | \(-0.662476\pi\) |
−0.0615952 | + | 0.998101i | \(0.519619\pi\) | |||||||
\(488\) | 12.9231 | + | 14.3435i | 0.585001 | + | 0.649301i | ||||
\(489\) | 10.8109 | + | 5.20626i | 0.488886 | + | 0.235435i | ||||
\(490\) | 1.95192 | − | 3.24930i | 0.0881787 | − | 0.146789i | ||||
\(491\) | 3.15082 | + | 5.01450i | 0.142195 | + | 0.226301i | 0.910227 | − | 0.414109i | \(-0.135907\pi\) |
−0.768032 | + | 0.640411i | \(0.778764\pi\) | |||||||
\(492\) | 1.05458 | + | 0.456722i | 0.0475442 | + | 0.0205906i | ||||
\(493\) | −24.3071 | + | 15.2729i | −1.09474 | + | 0.687858i | ||||
\(494\) | −11.2431 | − | 2.33003i | −0.505850 | − | 0.104833i | ||||
\(495\) | 11.3318 | − | 7.12024i | 0.509327 | − | 0.320031i | ||||
\(496\) | −4.12535 | − | 9.31772i | −0.185234 | − | 0.418378i | ||||
\(497\) | 6.80015 | − | 14.1207i | 0.305029 | − | 0.633398i | ||||
\(498\) | 10.6821 | − | 23.3689i | 0.478675 | − | 1.04718i | ||||
\(499\) | −0.720925 | − | 3.15858i | −0.0322730 | − | 0.141397i | 0.956225 | − | 0.292634i | \(-0.0945317\pi\) |
−0.988498 | + | 0.151236i | \(0.951675\pi\) | |||||||
\(500\) | 21.3666 | − | 0.857290i | 0.955543 | − | 0.0383392i | ||||
\(501\) | −11.4255 | + | 1.28735i | −0.510455 | + | 0.0575144i | ||||
\(502\) | 0.939101 | + | 1.13034i | 0.0419141 | + | 0.0504495i | ||||
\(503\) | 13.5719 | − | 4.74900i | 0.605139 | − | 0.211747i | −0.0102801 | − | 0.999947i | \(-0.503272\pi\) |
0.615420 | + | 0.788200i | \(0.288987\pi\) | |||||||
\(504\) | −8.99230 | − | 7.97070i | −0.400549 | − | 0.355043i | ||||
\(505\) | −8.30974 | − | 8.30974i | −0.369778 | − | 0.369778i | ||||
\(506\) | −12.3465 | − | 24.3751i | −0.548868 | − | 1.08361i | ||||
\(507\) | −1.77465 | + | 2.82433i | −0.0788148 | + | 0.125433i | ||||
\(508\) | −18.1809 | − | 26.5123i | −0.806645 | − | 1.17629i | ||||
\(509\) | −2.48496 | − | 3.11604i | −0.110144 | − | 0.138116i | 0.723704 | − | 0.690111i | \(-0.242438\pi\) |
−0.833847 | + | 0.551995i | \(0.813867\pi\) | |||||||
\(510\) | 8.37324 | − | 5.49845i | 0.370773 | − | 0.243475i | ||||
\(511\) | −3.28627 | − | 0.370274i | −0.145376 | − | 0.0163800i | ||||
\(512\) | 22.5747 | − | 1.54327i | 0.997671 | − | 0.0682037i | ||||
\(513\) | −6.43111 | + | 8.06435i | −0.283940 | + | 0.356050i | ||||
\(514\) | 6.20488 | + | 0.573398i | 0.273686 | + | 0.0252915i | ||||
\(515\) | −17.5969 | + | 8.47420i | −0.775410 | + | 0.373418i | ||||
\(516\) | 0.758213 | − | 4.06737i | 0.0333785 | − | 0.179056i | ||||
\(517\) | 5.35343 | − | 23.4549i | 0.235443 | − | 1.03155i | ||||
\(518\) | 6.24149 | + | 4.77588i | 0.274235 | + | 0.209840i | ||||
\(519\) | −1.82504 | + | 5.21568i | −0.0801105 | + | 0.228943i | ||||
\(520\) | 0.756992 | − | 14.5311i | 0.0331963 | − | 0.637231i | ||||
\(521\) | 27.6305i | 1.21052i | 0.796030 | + | 0.605258i | \(0.206930\pi\) | ||||
−0.796030 | + | 0.605258i | \(0.793070\pi\) | |||||||
\(522\) | 12.5264 | + | 7.52494i | 0.548264 | + | 0.329358i | ||||
\(523\) | 15.4017i | 0.673471i | 0.941599 | + | 0.336736i | \(0.109323\pi\) | ||||
−0.941599 | + | 0.336736i | \(0.890677\pi\) | |||||||
\(524\) | 32.0903 | − | 4.92554i | 1.40187 | − | 0.215173i | ||||
\(525\) | 2.56040 | − | 7.31720i | 0.111745 | − | 0.319349i | ||||
\(526\) | −1.28731 | + | 1.68236i | −0.0561295 | + | 0.0733543i | ||||
\(527\) | −3.02190 | + | 13.2398i | −0.131636 | + | 0.576735i | ||||
\(528\) | 18.8267 | + | 12.6874i | 0.819328 | + | 0.552148i | ||||
\(529\) | −9.43363 | + | 4.54299i | −0.410158 | + | 0.197522i | ||||
\(530\) | 1.76509 | − | 19.1004i | 0.0766705 | − | 0.829670i | ||||
\(531\) | −7.82580 | + | 9.81325i | −0.339611 | + | 0.425859i | ||||
\(532\) | 0.643319 | − | 8.90734i | 0.0278914 | − | 0.386182i | ||||
\(533\) | −2.21075 | − | 0.249092i | −0.0957583 | − | 0.0107894i | ||||
\(534\) | −4.47966 | − | 6.82180i | −0.193854 | − | 0.295208i | ||||
\(535\) | 7.47472 | + | 9.37301i | 0.323161 | + | 0.405230i | ||||
\(536\) | −13.3386 | − | 31.8366i | −0.576138 | − | 1.37513i | ||||
\(537\) | 7.02278 | − | 11.1767i | 0.303055 | − | 0.482309i | ||||
\(538\) | 16.9076 | − | 8.56403i | 0.728938 | − | 0.369221i | ||||
\(539\) | −8.09554 | − | 8.09554i | −0.348700 | − | 0.348700i | ||||
\(540\) | −11.3379 | − | 6.50516i | −0.487905 | − | 0.279937i | ||||
\(541\) | 40.5294 | − | 14.1819i | 1.74250 | − | 0.609726i | 0.744194 | − | 0.667964i | \(-0.232834\pi\) |
0.998303 | + | 0.0582379i | \(0.0185482\pi\) | |||||||
\(542\) | 21.1936 | − | 17.6080i | 0.910345 | − | 0.756327i | ||||
\(543\) | 10.7455 | − | 1.21073i | 0.461134 | − | 0.0519573i | ||||
\(544\) | −25.3398 | − | 16.3475i | −1.08644 | − | 0.700894i | ||||
\(545\) | −4.18569 | − | 18.3387i | −0.179295 | − | 0.785543i | ||||
\(546\) | −11.9219 | − | 5.44956i | −0.510208 | − | 0.233220i | ||||
\(547\) | 15.4874 | − | 32.1600i | 0.662194 | − | 1.37506i | −0.251180 | − | 0.967940i | \(-0.580819\pi\) |
0.913374 | − | 0.407120i | \(-0.133467\pi\) | |||||||
\(548\) | 9.43313 | + | 8.70536i | 0.402963 | + | 0.371875i | ||||
\(549\) | −11.0898 | + | 6.96816i | −0.473299 | + | 0.297394i | ||||
\(550\) | 5.27441 | − | 25.4506i | 0.224902 | − | 1.08522i | ||||
\(551\) | 1.21589 | + | 10.7919i | 0.0517986 | + | 0.459752i | ||||
\(552\) | −5.98982 | + | 8.51476i | −0.254944 | + | 0.362412i | ||||
\(553\) | 2.87274 | + | 4.57193i | 0.122161 | + | 0.194418i | ||||
\(554\) | 3.34137 | + | 2.00722i | 0.141961 | + | 0.0852787i | ||||
\(555\) | 3.00469 | + | 1.44698i | 0.127542 | + | 0.0614209i | ||||
\(556\) | −9.20883 | + | 12.5483i | −0.390541 | + | 0.532168i | ||||
\(557\) | 4.30674 | − | 0.982984i | 0.182482 | − | 0.0416504i | −0.130303 | − | 0.991474i | \(-0.541595\pi\) |
0.312785 | + | 0.949824i | \(0.398738\pi\) | |||||||
\(558\) | 6.70729 | − | 1.67306i | 0.283942 | − | 0.0708261i | ||||
\(559\) | 0.896775 | + | 7.95909i | 0.0379295 | + | 0.336634i | ||||
\(560\) | 11.2811 | − | 0.906717i | 0.476711 | − | 0.0383158i | ||||
\(561\) | −9.99286 | − | 28.5580i | −0.421899 | − | 1.20572i | ||||
\(562\) | −12.5311 | + | 38.2554i | −0.528591 | + | 1.61371i | ||||
\(563\) | −18.1449 | + | 18.1449i | −0.764715 | + | 0.764715i | −0.977171 | − | 0.212455i | \(-0.931854\pi\) |
0.212455 | + | 0.977171i | \(0.431854\pi\) | |||||||
\(564\) | −8.84754 | + | 2.39633i | −0.372549 | + | 0.100904i | ||||
\(565\) | 15.3416 | + | 9.63974i | 0.645424 | + | 0.405547i | ||||
\(566\) | −28.9676 | + | 30.1531i | −1.21760 | + | 1.26743i | ||||
\(567\) | 0.758064 | − | 0.604536i | 0.0318357 | − | 0.0253881i | ||||
\(568\) | −19.7242 | + | 3.43357i | −0.827609 | + | 0.144069i | ||||
\(569\) | 0.201786 | − | 1.79090i | 0.00845930 | − | 0.0750784i | −0.988773 | − | 0.149424i | \(-0.952258\pi\) |
0.997233 | + | 0.0743454i | \(0.0236867\pi\) | |||||||
\(570\) | −0.499719 | − | 3.75652i | −0.0209309 | − | 0.157343i | ||||
\(571\) | 3.41535 | + | 2.72365i | 0.142928 | + | 0.113981i | 0.692344 | − | 0.721568i | \(-0.256578\pi\) |
−0.549416 | + | 0.835549i | \(0.685150\pi\) | |||||||
\(572\) | −42.0314 | − | 12.8407i | −1.75742 | − | 0.536898i | ||||
\(573\) | 8.02865 | + | 16.6717i | 0.335402 | + | 0.696469i | ||||
\(574\) | −0.0346929 | − | 1.73003i | −0.00144805 | − | 0.0722099i | ||||
\(575\) | 11.6197 | + | 2.65212i | 0.484575 | + | 0.110601i | ||||
\(576\) | −1.59498 | + | 15.2670i | −0.0664577 | + | 0.636124i | ||||
\(577\) | 35.3644 | + | 12.3745i | 1.47224 | + | 0.515158i | 0.942849 | − | 0.333221i | \(-0.108135\pi\) |
0.529389 | + | 0.848379i | \(0.322421\pi\) | |||||||
\(578\) | 5.63725 | + | 15.1302i | 0.234479 | + | 0.629333i | ||||
\(579\) | 9.12950 | 0.379409 | ||||||||
\(580\) | −13.2842 | + | 3.59790i | −0.551598 | + | 0.149395i | ||||
\(581\) | −38.6877 | −1.60504 | ||||||||
\(582\) | 9.86159 | + | 26.4682i | 0.408776 | + | 1.09714i | ||||
\(583\) | −54.6854 | − | 19.1353i | −2.26484 | − | 0.792501i | ||||
\(584\) | 2.05846 | + | 3.68911i | 0.0851796 | + | 0.152656i | ||||
\(585\) | 9.62354 | + | 2.19651i | 0.397884 | + | 0.0908145i | ||||
\(586\) | −0.0322871 | − | 1.61005i | −0.00133377 | − | 0.0665107i | ||||
\(587\) | −11.1756 | − | 23.2063i | −0.461266 | − | 0.957828i | −0.993775 | − | 0.111404i | \(-0.964465\pi\) |
0.532509 | − | 0.846424i | \(-0.321249\pi\) | |||||||
\(588\) | −1.27448 | + | 4.17175i | −0.0525588 | + | 0.172040i | ||||
\(589\) | 4.01672 | + | 3.20323i | 0.165506 | + | 0.131987i | ||||
\(590\) | −1.55885 | − | 11.7183i | −0.0641768 | − | 0.482435i | ||||
\(591\) | −0.290770 | + | 2.58066i | −0.0119607 | + | 0.106154i | ||||
\(592\) | 0.321175 | − | 10.0343i | 0.0132002 | − | 0.412406i | ||||
\(593\) | −3.94176 | + | 3.14345i | −0.161869 | + | 0.129086i | −0.701074 | − | 0.713088i | \(-0.747296\pi\) |
0.539206 | + | 0.842174i | \(0.318725\pi\) | |||||||
\(594\) | −27.3520 | + | 28.4715i | −1.12227 | + | 1.16820i | ||||
\(595\) | −12.7709 | − | 8.02446i | −0.523554 | − | 0.328971i | ||||
\(596\) | −10.2390 | − | 37.8037i | −0.419406 | − | 1.54850i | ||||
\(597\) | 14.5203 | − | 14.5203i | 0.594278 | − | 0.594278i | ||||
\(598\) | 6.27345 | − | 19.1519i | 0.256541 | − | 0.783179i | ||||
\(599\) | −6.48566 | − | 18.5349i | −0.264997 | − | 0.757317i | −0.997099 | − | 0.0761220i | \(-0.975746\pi\) |
0.732102 | − | 0.681195i | \(-0.238540\pi\) | |||||||
\(600\) | −9.50469 | + | 2.78002i | −0.388027 | + | 0.113494i | ||||
\(601\) | −1.05822 | − | 9.39196i | −0.0431657 | − | 0.383106i | −0.996658 | − | 0.0816885i | \(-0.973969\pi\) |
0.953492 | − | 0.301418i | \(-0.0974598\pi\) | |||||||
\(602\) | −6.04445 | + | 1.50772i | −0.246353 | + | 0.0614500i | ||||
\(603\) | 22.8293 | − | 5.21064i | 0.929680 | − | 0.212193i | ||||
\(604\) | 2.47721 | + | 1.81795i | 0.100796 | + | 0.0739713i | ||||
\(605\) | 21.6365 | + | 10.4196i | 0.879647 | + | 0.423616i | ||||
\(606\) | 11.5929 | + | 6.96407i | 0.470929 | + | 0.282896i | ||||
\(607\) | 11.5069 | + | 18.3131i | 0.467049 | + | 0.743304i | 0.994324 | − | 0.106390i | \(-0.0339293\pi\) |
−0.527276 | + | 0.849694i | \(0.676786\pi\) | |||||||
\(608\) | −9.73136 | + | 5.95367i | −0.394659 | + | 0.241453i | ||||
\(609\) | −1.38827 | + | 12.3205i | −0.0562556 | + | 0.499253i | ||||
\(610\) | 2.50322 | − | 12.0788i | 0.101352 | − | 0.489055i | ||||
\(611\) | 15.0248 | − | 9.44069i | 0.607838 | − | 0.381930i | ||||
\(612\) | 13.8737 | − | 15.0335i | 0.560810 | − | 0.607694i | ||||
\(613\) | 6.60666 | − | 13.7189i | 0.266840 | − | 0.554100i | −0.723894 | − | 0.689911i | \(-0.757650\pi\) |
0.990735 | + | 0.135811i | \(0.0433640\pi\) | |||||||
\(614\) | 8.13732 | + | 3.71962i | 0.328395 | + | 0.150112i | ||||
\(615\) | −0.163391 | − | 0.715863i | −0.00658856 | − | 0.0288664i | ||||
\(616\) | 5.58927 | − | 33.7230i | 0.225198 | − | 1.35874i | ||||
\(617\) | −13.8967 | + | 1.56579i | −0.559461 | + | 0.0630361i | −0.387167 | − | 0.922009i | \(-0.626546\pi\) |
−0.172294 | + | 0.985046i | \(0.555118\pi\) | |||||||
\(618\) | 17.2881 | − | 14.3632i | 0.695429 | − | 0.577771i | ||||
\(619\) | −27.9497 | + | 9.78003i | −1.12339 | + | 0.393093i | −0.827128 | − | 0.562013i | \(-0.810027\pi\) |
−0.296266 | + | 0.955106i | \(0.595741\pi\) | |||||||
\(620\) | −3.24011 | + | 5.64721i | −0.130126 | + | 0.226797i | ||||
\(621\) | −12.8017 | − | 12.8017i | −0.513715 | − | 0.513715i | ||||
\(622\) | 37.2768 | − | 18.8814i | 1.49466 | − | 0.757076i | ||||
\(623\) | −6.53764 | + | 10.4046i | −0.261925 | + | 0.416851i | ||||
\(624\) | 3.20193 | + | 16.4360i | 0.128180 | + | 0.657965i | ||||
\(625\) | 1.97827 | + | 2.48068i | 0.0791309 | + | 0.0992271i | ||||
\(626\) | 8.59674 | + | 13.0914i | 0.343595 | + | 0.523239i | ||||
\(627\) | −11.3741 | − | 1.28156i | −0.454240 | − | 0.0511805i | ||||
\(628\) | −5.28507 | − | 0.381706i | −0.210897 | − | 0.0152317i | ||||
\(629\) | −8.34196 | + | 10.4605i | −0.332616 | + | 0.417087i | ||||
\(630\) | −0.706479 | + | 7.64498i | −0.0281468 | + | 0.304583i | ||||
\(631\) | 24.0896 | − | 11.6010i | 0.958993 | − | 0.461827i | 0.112163 | − | 0.993690i | \(-0.464222\pi\) |
0.846830 | + | 0.531863i | \(0.178508\pi\) | |||||||
\(632\) | 2.61373 | − | 6.38314i | 0.103969 | − | 0.253908i | ||||
\(633\) | −1.15936 | + | 5.07950i | −0.0460806 | + | 0.201892i | ||||
\(634\) | 12.4032 | − | 16.2094i | 0.492593 | − | 0.643759i | ||||
\(635\) | −6.78381 | + | 19.3870i | −0.269207 | + | 0.769350i | ||||
\(636\) | 3.34896 | + | 21.8188i | 0.132795 | + | 0.865171i | ||||
\(637\) | − | 8.44434i | − | 0.334577i | ||||||
\(638\) | 0.833165 | + | 41.5608i | 0.0329853 | + | 1.64541i | ||||
\(639\) | − | 13.5818i | − | 0.537287i | ||||||
\(640\) | −9.32855 | − | 11.0449i | −0.368743 | − | 0.436586i | ||||
\(641\) | 0.395391 | − | 1.12996i | 0.0156170 | − | 0.0446308i | −0.935811 | − | 0.352502i | \(-0.885331\pi\) |
0.951428 | + | 0.307871i | \(0.0996166\pi\) | |||||||
\(642\) | −10.9567 | − | 8.38387i | −0.432426 | − | 0.330885i | ||||
\(643\) | −0.127743 | + | 0.559677i | −0.00503767 | + | 0.0220715i | −0.977384 | − | 0.211471i | \(-0.932175\pi\) |
0.972347 | + | 0.233542i | \(0.0750318\pi\) | |||||||
\(644\) | 15.4094 | + | 2.87253i | 0.607217 | + | 0.113193i | ||||
\(645\) | −2.38172 | + | 1.14698i | −0.0937802 | + | 0.0451622i | ||||
\(646\) | 15.1390 | + | 1.39901i | 0.595637 | + | 0.0550433i | ||||
\(647\) | −1.10133 | + | 1.38102i | −0.0432978 | + | 0.0542937i | −0.803009 | − | 0.595967i | \(-0.796769\pi\) |
0.759711 | + | 0.650261i | \(0.225340\pi\) | |||||||
\(648\) | −1.19157 | − | 0.338061i | −0.0468092 | − | 0.0132803i | ||||
\(649\) | −35.4811 | − | 3.99776i | −1.39276 | − | 0.156926i | ||||
\(650\) | 16.0244 | − | 10.5227i | 0.628528 | − | 0.412735i | ||||
\(651\) | 3.65694 | + | 4.58566i | 0.143327 | + | 0.179726i | ||||
\(652\) | −19.0338 | + | 13.0525i | −0.745419 | + | 0.511174i | ||||
\(653\) | −4.52402 | + | 7.19993i | −0.177038 | + | 0.281755i | −0.923442 | − | 0.383739i | \(-0.874636\pi\) |
0.746403 | + | 0.665494i | \(0.231779\pi\) | |||||||
\(654\) | 9.78131 | + | 19.3108i | 0.382480 | + | 0.755113i | ||||
\(655\) | −14.6678 | − | 14.6678i | −0.573119 | − | 0.573119i | ||||
\(656\) | −1.77139 | + | 1.32219i | −0.0691611 | + | 0.0516228i | ||||
\(657\) | −2.70504 | + | 0.946534i | −0.105534 | + | 0.0369278i | ||||
\(658\) | 8.81972 | + | 10.6158i | 0.343829 | + | 0.413846i | ||||
\(659\) | 10.7009 | − | 1.20570i | 0.416848 | − | 0.0469675i | 0.0989499 | − | 0.995092i | \(-0.468452\pi\) |
0.317898 | + | 0.948125i | \(0.397023\pi\) | |||||||
\(660\) | −0.581529 | − | 14.4937i | −0.0226360 | − | 0.564166i | ||||
\(661\) | 6.41974 | + | 28.1267i | 0.249699 | + | 1.09400i | 0.931865 | + | 0.362806i | \(0.118181\pi\) |
−0.682166 | + | 0.731198i | \(0.738962\pi\) | |||||||
\(662\) | −10.2504 | + | 22.4246i | −0.398395 | + | 0.871558i | ||||
\(663\) | 9.68250 | − | 20.1059i | 0.376037 | − | 0.780849i | ||||
\(664\) | 28.7615 | + | 40.1894i | 1.11616 | + | 1.55965i | ||||
\(665\) | −4.83136 | + | 3.03574i | −0.187352 | + | 0.117721i | ||||
\(666\) | 6.66887 | + | 1.38207i | 0.258414 | + | 0.0535540i | ||||
\(667\) | −19.0619 | 0.000124098i | −0.738078 | 4.80511e-6i | ||||||
\(668\) | 8.78876 | − | 20.2935i | 0.340047 | − | 0.785177i | ||||
\(669\) | −13.0563 | − | 20.7791i | −0.504788 | − | 0.803365i | ||||
\(670\) | −11.3569 | + | 18.9054i | −0.438753 | + | 0.730381i | ||||
\(671\) | −33.5681 | − | 16.1656i | −1.29588 | − | 0.624064i | ||||
\(672\) | −12.3437 | + | 4.15440i | −0.476167 | + | 0.160259i | ||||
\(673\) | 8.74715 | − | 1.99648i | 0.337178 | − | 0.0769586i | −0.0505798 | − | 0.998720i | \(-0.516107\pi\) |
0.387758 | + | 0.921761i | \(0.373250\pi\) | |||||||
\(674\) | 5.55629 | + | 22.2752i | 0.214020 | + | 0.858008i | ||||
\(675\) | −1.92821 | − | 17.1133i | −0.0742167 | − | 0.658692i | ||||
\(676\) | −3.01316 | − | 5.66408i | −0.115891 | − | 0.217849i | ||||
\(677\) | 11.5145 | + | 32.9067i | 0.442540 | + | 1.26471i | 0.922016 | + | 0.387151i | \(0.126541\pi\) |
−0.479477 | + | 0.877555i | \(0.659173\pi\) | |||||||
\(678\) | −19.8149 | − | 6.49064i | −0.760988 | − | 0.249272i | ||||
\(679\) | 30.0724 | − | 30.0724i | 1.15407 | − | 1.15407i | ||||
\(680\) | 1.15825 | + | 19.2322i | 0.0444170 | + | 0.737520i | ||||
\(681\) | −2.50003 | − | 1.57088i | −0.0958015 | − | 0.0601961i | ||||
\(682\) | 14.1812 | + | 13.6236i | 0.543025 | + | 0.521674i | ||||
\(683\) | 9.15989 | − | 7.30477i | 0.350494 | − | 0.279509i | −0.432378 | − | 0.901692i | \(-0.642325\pi\) |
0.782872 | + | 0.622183i | \(0.213754\pi\) | |||||||
\(684\) | −2.84686 | − | 7.19645i | −0.108852 | − | 0.275163i | ||||
\(685\) | 0.918258 | − | 8.14977i | 0.0350849 | − | 0.311387i | ||||
\(686\) | 28.2382 | − | 3.75644i | 1.07814 | − | 0.143422i | ||||
\(687\) | −5.62576 | − | 4.48640i | −0.214636 | − | 0.171167i | ||||
\(688\) | 6.05985 | + | 5.15820i | 0.231030 | + | 0.196654i | ||||
\(689\) | −18.5409 | − | 38.5006i | −0.706353 | − | 1.46676i | ||||
\(690\) | 6.65020 | − | 0.133359i | 0.253169 | − | 0.00507689i | ||||
\(691\) | 46.7738 | + | 10.6758i | 1.77936 | + | 0.406127i | 0.980678 | − | 0.195629i | \(-0.0626750\pi\) |
0.798680 | + | 0.601756i | \(0.205532\pi\) | |||||||
\(692\) | −6.95440 | − | 8.03714i | −0.264367 | − | 0.305526i | ||||
\(693\) | 21.8879 | + | 7.65892i | 0.831453 | + | 0.290938i | ||||
\(694\) | 5.52555 | − | 2.05873i | 0.209747 | − | 0.0781482i | ||||
\(695\) | 9.94473 | 0.377225 | ||||||||
\(696\) | 13.8308 | − | 7.71725i | 0.524257 | − | 0.292522i | ||||
\(697\) | 2.94582 | 0.111581 | ||||||||
\(698\) | −8.89832 | + | 3.31536i | −0.336806 | + | 0.125488i | ||||
\(699\) | −8.07028 | − | 2.82391i | −0.305246 | − | 0.106810i | ||||
\(700\) | 9.75649 | + | 11.2755i | 0.368761 | + | 0.426174i | ||||
\(701\) | −18.6641 | − | 4.25997i | −0.704934 | − | 0.160897i | −0.144998 | − | 0.989432i | \(-0.546317\pi\) |
−0.559937 | + | 0.828535i | \(0.689175\pi\) | |||||||
\(702\) | −29.1144 | + | 0.583842i | −1.09885 | + | 0.0220357i | ||||
\(703\) | 2.19615 | + | 4.56035i | 0.0828293 | + | 0.171997i | ||||
\(704\) | −39.1872 | + | 19.2644i | −1.47692 | + | 0.726053i | ||||
\(705\) | 4.57886 | + | 3.65152i | 0.172450 | + | 0.137524i | ||||
\(706\) | −28.7878 | + | 3.82956i | −1.08344 | + | 0.144127i | ||||
\(707\) | 2.27988 | − | 20.2345i | 0.0857436 | − | 0.760996i | ||||
\(708\) | 5.00434 | + | 12.6503i | 0.188075 | + | 0.475426i | ||||
\(709\) | −9.64056 | + | 7.68809i | −0.362059 | + | 0.288732i | −0.787575 | − | 0.616218i | \(-0.788664\pi\) |
0.425517 | + | 0.904951i | \(0.360092\pi\) | |||||||
\(710\) | 9.22469 | + | 8.86199i | 0.346196 | + | 0.332585i | ||||
\(711\) | 3.96198 | + | 2.48947i | 0.148586 | + | 0.0933626i | ||||
\(712\) | 15.6687 | − | 0.943646i | 0.587210 | − | 0.0353646i | ||||
\(713\) | −6.37632 | + | 6.37632i | −0.238795 | + | 0.238795i | ||||
\(714\) | 16.4946 | + | 5.40304i | 0.617296 | + | 0.202204i | ||||
\(715\) | 9.27428 | + | 26.5044i | 0.346839 | + | 0.991208i | ||||
\(716\) | 11.9239 | + | 22.4144i | 0.445618 | + | 0.837664i | ||||
\(717\) | −2.87493 | − | 25.5157i | −0.107366 | − | 0.952901i | ||||
\(718\) | −2.93673 | − | 11.7734i | −0.109598 | − | 0.439378i | ||||
\(719\) | 0.101019 | − | 0.0230570i | 0.00376738 | − | 0.000859880i | −0.220637 | − | 0.975356i | \(-0.570814\pi\) |
0.224404 | + | 0.974496i | \(0.427956\pi\) | |||||||
\(720\) | 8.46695 | − | 4.94958i | 0.315545 | − | 0.184460i | ||||
\(721\) | −30.4905 | − | 14.6834i | −1.13553 | − | 0.546840i | ||||
\(722\) | −10.8749 | + | 18.1031i | −0.404721 | + | 0.673729i | ||||
\(723\) | 1.28472 | + | 2.04461i | 0.0477791 | + | 0.0760400i | ||||
\(724\) | −8.26568 | + | 19.0856i | −0.307192 | + | 0.709312i | ||||
\(725\) | −14.1764 | − | 11.3055i | −0.526499 | − | 0.419874i | ||||
\(726\) | −27.0609 | − | 5.60814i | −1.00432 | − | 0.208137i | ||||
\(727\) | −12.2349 | + | 7.68768i | −0.453766 | + | 0.285120i | −0.739460 | − | 0.673201i | \(-0.764919\pi\) |
0.285693 | + | 0.958321i | \(0.407776\pi\) | |||||||
\(728\) | 20.5030 | − | 14.6730i | 0.759893 | − | 0.543816i | ||||
\(729\) | −6.55809 | + | 13.6180i | −0.242892 | + | 0.504371i | ||||
\(730\) | 1.12213 | − | 2.45485i | 0.0415319 | − | 0.0908582i | ||||
\(731\) | −2.35994 | − | 10.3396i | −0.0872856 | − | 0.382423i | ||||
\(732\) | 0.569108 | + | 14.1841i | 0.0210348 | + | 0.524259i | ||||
\(733\) | 4.15547 | − | 0.468209i | 0.153486 | − | 0.0172937i | −0.0348872 | − | 0.999391i | \(-0.511107\pi\) |
0.188373 | + | 0.982098i | \(0.439679\pi\) | |||||||
\(734\) | 19.3084 | + | 23.2404i | 0.712687 | + | 0.857818i | ||||
\(735\) | 2.63065 | − | 0.920503i | 0.0970328 | − | 0.0339533i | ||||
\(736\) | −8.47177 | − | 18.1431i | −0.312273 | − | 0.668764i | ||||
\(737\) | 47.1023 | + | 47.1023i | 1.73503 | + | 1.73503i | ||||
\(738\) | −0.677573 | − | 1.33770i | −0.0249418 | − | 0.0492416i | ||||
\(739\) | −11.5083 | + | 18.3153i | −0.423339 | + | 0.673740i | −0.988497 | − | 0.151243i | \(-0.951672\pi\) |
0.565158 | + | 0.824983i | \(0.308815\pi\) | |||||||
\(740\) | −5.29007 | + | 3.62768i | −0.194467 | + | 0.133356i | ||||
\(741\) | −5.26372 | − | 6.60050i | −0.193368 | − | 0.242475i | ||||
\(742\) | 27.7822 | − | 18.2437i | 1.01992 | − | 0.669748i | ||||
\(743\) | −15.5388 | − | 1.75080i | −0.570062 | − | 0.0642305i | −0.177771 | − | 0.984072i | \(-0.556889\pi\) |
−0.392291 | + | 0.919841i | \(0.628317\pi\) | |||||||
\(744\) | 2.04499 | − | 7.20799i | 0.0749730 | − | 0.264258i | ||||
\(745\) | −15.6022 | + | 19.5645i | −0.571620 | + | 0.716789i | ||||
\(746\) | −1.33127 | − | 0.123023i | −0.0487412 | − | 0.00450421i | ||||
\(747\) | −30.2061 | + | 14.5465i | −1.10518 | + | 0.532228i | ||||
\(748\) | 57.2084 | + | 10.6644i | 2.09175 | + | 0.389929i | ||||
\(749\) | −4.62238 | + | 20.2520i | −0.168898 | + | 0.739991i | ||||
\(750\) | 12.4867 | + | 9.55460i | 0.455949 | + | 0.348885i | ||||
\(751\) | 17.0351 | − | 48.6836i | 0.621621 | − | 1.77649i | −0.00846468 | − | 0.999964i | \(-0.502694\pi\) |
0.630085 | − | 0.776526i | \(-0.283020\pi\) | |||||||
\(752\) | 4.47102 | − | 17.0541i | 0.163041 | − | 0.621900i | ||||
\(753\) | 1.08051i | 0.0393762i | ||||||||
\(754\) | −21.2412 | + | 22.1103i | −0.773560 | + | 0.805209i | ||||
\(755\) | − | 1.96323i | − | 0.0714491i | ||||||
\(756\) | −3.43620 | − | 22.3872i | −0.124973 | − | 0.814213i | ||||
\(757\) | −11.6876 | + | 33.4013i | −0.424793 | + | 1.21399i | 0.510426 | + | 0.859921i | \(0.329488\pi\) |
−0.935220 | + | 0.354068i | \(0.884798\pi\) | |||||||
\(758\) | 0.917513 | − | 1.19908i | 0.0333256 | − | 0.0435524i | ||||
\(759\) | 4.47050 | − | 19.5865i | 0.162269 | − | 0.710946i | ||||
\(760\) | 6.74534 | + | 2.76204i | 0.244679 | + | 0.100190i | ||||
\(761\) | 24.8016 | − | 11.9438i | 0.899056 | − | 0.432962i | 0.0735078 | − | 0.997295i | \(-0.476581\pi\) |
0.825548 | + | 0.564332i | \(0.190866\pi\) | |||||||
\(762\) | 2.17503 | − | 23.5366i | 0.0787931 | − | 0.852640i | ||||
\(763\) | 20.3214 | − | 25.4823i | 0.735686 | − | 0.922520i | ||||
\(764\) | −35.4983 | − | 2.56381i | −1.28428 | − | 0.0927555i | ||||
\(765\) | −12.9882 | − | 1.46342i | −0.469591 | − | 0.0529102i | ||||
\(766\) | 1.30507 | + | 1.98740i | 0.0471540 | + | 0.0718078i | ||||
\(767\) | −16.4199 | − | 20.5899i | −0.592889 | − | 0.743460i | ||||
\(768\) | 13.4923 | + | 9.73430i | 0.486860 | + | 0.351256i | ||||
\(769\) | −23.2532 | + | 37.0072i | −0.838531 | + | 1.33451i | 0.101992 | + | 0.994785i | \(0.467478\pi\) |
−0.940523 | + | 0.339729i | \(0.889665\pi\) | |||||||
\(770\) | −19.4836 | + | 9.86880i | −0.702139 | + | 0.355647i | ||||
\(771\) | 3.23975 | + | 3.23975i | 0.116677 | + | 0.116677i | ||||
\(772\) | −8.73871 | + | 15.2308i | −0.314513 | + | 0.548167i | ||||
\(773\) | 43.0714 | − | 15.0713i | 1.54917 | − | 0.542079i | 0.585848 | − | 0.810421i | \(-0.300761\pi\) |
0.963324 | + | 0.268342i | \(0.0864757\pi\) | |||||||
\(774\) | −4.15241 | + | 3.44988i | −0.149255 | + | 0.124003i | ||||
\(775\) | −8.52385 | + | 0.960408i | −0.306186 | + | 0.0344989i | ||||
\(776\) | −53.5963 | − | 8.88308i | −1.92400 | − | 0.318884i | ||||
\(777\) | 1.28585 | + | 5.63366i | 0.0461295 | + | 0.202107i | ||||
\(778\) | 9.47348 | + | 4.33039i | 0.339641 | + | 0.155252i | ||||
\(779\) | 0.483537 | − | 1.00407i | 0.0173245 | − | 0.0359747i | ||||
\(780\) | 7.25579 | − | 7.86237i | 0.259799 | − | 0.281518i | ||||
\(781\) | 32.7142 | − | 20.5557i | 1.17061 | − | 0.735540i | ||||
\(782\) | −5.41522 | + | 26.1300i | −0.193648 | + | 0.934408i | ||||
\(783\) | 9.09680 | + | 25.9977i | 0.325093 | + | 0.929083i | ||||
\(784\) | −5.73981 | − | 6.11940i | −0.204993 | − | 0.218550i | ||||
\(785\) | 1.80122 | + | 2.86663i | 0.0642884 | + | 0.102314i | ||||
\(786\) | 20.4630 | + | 12.2925i | 0.729892 | + | 0.438460i | ||||
\(787\) | −10.4243 | − | 5.02010i | −0.371588 | − | 0.178947i | 0.238764 | − | 0.971078i | \(-0.423258\pi\) |
−0.610352 | + | 0.792130i | \(0.708972\pi\) | |||||||
\(788\) | −4.02699 | − | 2.95528i | −0.143456 | − | 0.105278i | ||||
\(789\) | −1.51852 | + | 0.346593i | −0.0540608 | + | 0.0123390i | ||||
\(790\) | −4.27599 | + | 1.06660i | −0.152133 | + | 0.0379478i | ||||
\(791\) | 3.51510 | + | 31.1973i | 0.124982 | + | 1.10925i | ||||
\(792\) | −8.31586 | − | 28.4314i | −0.295491 | − | 1.01026i | ||||
\(793\) | −9.07619 | − | 25.9382i | −0.322305 | − | 0.921094i | ||||
\(794\) | 9.03529 | − | 27.5834i | 0.320651 | − | 0.978897i | ||||
\(795\) | 9.97290 | − | 9.97290i | 0.353702 | − | 0.353702i | ||||
\(796\) | 10.3255 | + | 38.1231i | 0.365978 | + | 1.35124i | ||||
\(797\) | −19.0071 | − | 11.9429i | −0.673264 | − | 0.423040i | 0.151545 | − | 0.988450i | \(-0.451575\pi\) |
−0.824810 | + | 0.565410i | \(0.808718\pi\) | |||||||
\(798\) | 4.54909 | − | 4.73527i | 0.161036 | − | 0.167627i | ||||
\(799\) | −18.3699 | + | 14.6495i | −0.649880 | + | 0.518262i | ||||
\(800\) | 4.45993 | − | 18.5177i | 0.157682 | − | 0.654700i | ||||
\(801\) | −1.19227 | + | 10.5817i | −0.0421269 | + | 0.373886i | ||||
\(802\) | −7.37179 | − | 55.4157i | −0.260307 | − | 1.95680i | ||||
\(803\) | −6.37390 | − | 5.08302i | −0.224930 | − | 0.179376i | ||||
\(804\) | 7.41533 | − | 24.2725i | 0.261518 | − | 0.856026i | ||||
\(805\) | −4.34538 | − | 9.02327i | −0.153154 | − | 0.318028i | ||||
\(806\) | 0.290802 | + | 14.5014i | 0.0102431 | + | 0.510789i | ||||
\(807\) | 13.5860 | + | 3.10092i | 0.478251 | + | 0.109158i | ||||
\(808\) | −22.7148 | + | 12.6745i | −0.799105 | + | 0.445887i | ||||
\(809\) | 7.27676 | + | 2.54625i | 0.255837 | + | 0.0895214i | 0.455151 | − | 0.890414i | \(-0.349585\pi\) |
−0.199313 | + | 0.979936i | \(0.563871\pi\) | |||||||
\(810\) | 0.276296 | + | 0.741569i | 0.00970805 | + | 0.0260561i | ||||
\(811\) | −6.56452 | −0.230511 | −0.115256 | − | 0.993336i | \(-0.536769\pi\) | ||||
−0.115256 | + | 0.993336i | \(0.536769\pi\) | |||||||
\(812\) | −19.2255 | − | 14.1092i | −0.674683 | − | 0.495136i | ||||
\(813\) | 20.2594 | 0.710530 | ||||||||
\(814\) | 6.76421 | + | 18.1549i | 0.237085 | + | 0.636329i | ||||
\(815\) | 13.9184 | + | 4.87025i | 0.487540 | + | 0.170597i | ||||
\(816\) | −6.64979 | − | 21.1517i | −0.232789 | − | 0.740456i | ||||
\(817\) | −3.91158 | − | 0.892793i | −0.136849 | − | 0.0312349i | ||||
\(818\) | −0.0996909 | − | 4.97127i | −0.00348561 | − | 0.173816i | ||||
\(819\) | 7.42104 | + | 15.4099i | 0.259312 | + | 0.538467i | ||||
\(820\) | 1.35067 | + | 0.412634i | 0.0471675 | + | 0.0144098i | ||||
\(821\) | −4.46089 | − | 3.55744i | −0.155686 | − | 0.124156i | 0.542549 | − | 0.840024i | \(-0.317459\pi\) |
−0.698235 | + | 0.715869i | \(0.746031\pi\) | |||||||
\(822\) | 1.24455 | + | 9.35562i | 0.0434086 | + | 0.326315i | ||||
\(823\) | −2.71148 | + | 24.0650i | −0.0945162 | + | 0.838854i | 0.853600 | + | 0.520929i | \(0.174415\pi\) |
−0.948116 | + | 0.317925i | \(0.897014\pi\) | |||||||
\(824\) | 7.41404 | + | 42.5901i | 0.258280 | + | 1.48370i | ||||
\(825\) | 14.9413 | − | 11.9153i | 0.520189 | − | 0.414837i | ||||
\(826\) | 14.1907 | − | 14.7715i | 0.493757 | − | 0.513965i | ||||
\(827\) | −16.2920 | − | 10.2369i | −0.566529 | − | 0.355974i | 0.218113 | − | 0.975924i | \(-0.430010\pi\) |
−0.784641 | + | 0.619950i | \(0.787153\pi\) | |||||||
\(828\) | 13.1113 | − | 3.55114i | 0.455648 | − | 0.123411i | ||||
\(829\) | 36.5449 | − | 36.5449i | 1.26926 | − | 1.26926i | 0.322783 | − | 0.946473i | \(-0.395382\pi\) |
0.946473 | − | 0.322783i | \(-0.104618\pi\) | |||||||
\(830\) | 9.82929 | − | 30.0073i | 0.341180 | − | 1.04157i | ||||
\(831\) | 0.946584 | + | 2.70518i | 0.0328366 | + | 0.0938417i | ||||
\(832\) | −30.4850 | − | 10.3906i | −1.05688 | − | 0.360230i | ||||
\(833\) | 1.25191 | + | 11.1110i | 0.0433762 | + | 0.384974i | ||||
\(834\) | −11.1041 | + | 2.76979i | −0.384503 | + | 0.0959099i | ||||
\(835\) | −13.7755 | + | 3.14416i | −0.476719 | + | 0.108808i | ||||
\(836\) | 13.0253 | − | 17.7488i | 0.450489 | − | 0.613855i | ||||
\(837\) | 11.7394 | + | 5.65339i | 0.405773 | + | 0.195410i | ||||
\(838\) | −15.5577 | − | 9.34582i | −0.537433 | − | 0.322846i | ||||
\(839\) | −2.38948 | − | 3.80284i | −0.0824940 | − | 0.131288i | 0.802929 | − | 0.596075i | \(-0.203274\pi\) |
−0.885423 | + | 0.464787i | \(0.846131\pi\) | |||||||
\(840\) | 6.80603 | + | 4.78779i | 0.234830 | + | 0.165194i | ||||
\(841\) | 26.1279 | + | 12.5830i | 0.900963 | + | 0.433895i | ||||
\(842\) | −5.10163 | + | 24.6169i | −0.175814 | + | 0.848353i | ||||
\(843\) | −25.0619 | + | 15.7474i | −0.863176 | + | 0.542370i | ||||
\(844\) | −7.36441 | − | 6.79624i | −0.253493 | − | 0.233936i | ||||
\(845\) | −1.77855 | + | 3.69319i | −0.0611839 | + | 0.127050i | ||||
\(846\) | 10.8777 | + | 4.97225i | 0.373982 | + | 0.170950i | ||||
\(847\) | 9.25926 | + | 40.5675i | 0.318152 | + | 1.39392i | ||||
\(848\) | −39.6059 | − | 15.2977i | −1.36007 | − | 0.525327i | ||||
\(849\) | −30.5505 | + | 3.44222i | −1.04849 | + | 0.118137i | ||||
\(850\) | −19.5248 | + | 16.2214i | −0.669694 | + | 0.556391i | ||||
\(851\) | −8.38558 | + | 2.93424i | −0.287454 | + | 0.100585i | ||||
\(852\) | −12.7683 | − | 7.32588i | −0.437436 | − | 0.250980i | ||||
\(853\) | −4.87447 | − | 4.87447i | −0.166899 | − | 0.166899i | 0.618716 | − | 0.785615i | \(-0.287653\pi\) |
−0.785615 | + | 0.618716i | \(0.787653\pi\) | |||||||
\(854\) | 19.0674 | − | 9.65801i | 0.652473 | − | 0.330490i | ||||
\(855\) | −2.63073 | + | 4.18679i | −0.0899692 | + | 0.143185i | ||||
\(856\) | 24.4745 | − | 10.2541i | 0.836521 | − | 0.350476i | ||||
\(857\) | −21.5964 | − | 27.0811i | −0.737720 | − | 0.925072i | 0.261474 | − | 0.965210i | \(-0.415791\pi\) |
−0.999194 | + | 0.0401389i | \(0.987220\pi\) | |||||||
\(858\) | −17.7374 | − | 27.0112i | −0.605546 | − | 0.922147i | ||||
\(859\) | 42.7418 | + | 4.81585i | 1.45833 | + | 0.164315i | 0.805233 | − | 0.592958i | \(-0.202040\pi\) |
0.653099 | + | 0.757273i | \(0.273469\pi\) | |||||||
\(860\) | 0.366268 | − | 5.07131i | 0.0124896 | − | 0.172930i | ||||
\(861\) | 0.793261 | − | 0.994717i | 0.0270343 | − | 0.0338999i | ||||
\(862\) | 2.45270 | − | 26.5412i | 0.0835391 | − | 0.903998i | ||||
\(863\) | −7.63918 | + | 3.67884i | −0.260041 | + | 0.125229i | −0.559362 | − | 0.828923i | \(-0.688954\pi\) |
0.299322 | + | 0.954152i | \(0.403240\pi\) | |||||||
\(864\) | −20.7016 | + | 20.2128i | −0.704282 | + | 0.687653i | ||||
\(865\) | −1.51106 | + | 6.62038i | −0.0513775 | + | 0.225100i | ||||
\(866\) | 24.9085 | − | 32.5523i | 0.846425 | − | 1.10617i | ||||
\(867\) | −3.92102 | + | 11.2056i | −0.133165 | + | 0.380563i | ||||
\(868\) | −11.1507 | + | 1.71151i | −0.378478 | + | 0.0580926i | ||||
\(869\) | 13.3109i | 0.451541i | ||||||||
\(870\) | −9.20343 | − | 4.20702i | −0.312026 | − | 0.142631i | ||||
\(871\) | 49.1317i | 1.66477i | ||||||||
\(872\) | −41.5789 | − | 2.16604i | −1.40804 | − | 0.0733513i | ||||
\(873\) | 12.1724 | − | 34.7867i | 0.411973 | − | 1.17735i | ||||
\(874\) | 8.01746 | + | 6.13483i | 0.271195 | + | 0.207514i | ||||
\(875\) | 5.26786 | − | 23.0800i | 0.178086 | − | 0.780246i | ||||
\(876\) | −0.569227 | + | 3.05357i | −0.0192324 | + | 0.103171i | ||||
\(877\) | 21.2938 | − | 10.2546i | 0.719040 | − | 0.346272i | −0.0383229 | − | 0.999265i | \(-0.512202\pi\) |
0.757363 | + | 0.652994i | \(0.226487\pi\) | |||||||
\(878\) | −38.4706 | − | 3.55510i | −1.29832 | − | 0.119979i | ||||
\(879\) | 0.738250 | − | 0.925736i | 0.0249005 | − | 0.0312243i | ||||
\(880\) | 24.7365 | + | 12.9031i | 0.833866 | + | 0.434964i | ||||
\(881\) | −22.6755 | − | 2.55492i | −0.763958 | − | 0.0860774i | −0.278617 | − | 0.960402i | \(-0.589876\pi\) |
−0.485341 | + | 0.874325i | \(0.661305\pi\) | |||||||
\(882\) | 4.75758 | − | 3.12416i | 0.160196 | − | 0.105196i | ||||
\(883\) | 2.82404 | + | 3.54123i | 0.0950364 | + | 0.119172i | 0.827076 | − | 0.562090i | \(-0.190003\pi\) |
−0.732039 | + | 0.681262i | \(0.761431\pi\) | |||||||
\(884\) | 24.2747 | + | 35.3986i | 0.816446 | + | 1.19058i | ||||
\(885\) | 4.62443 | − | 7.35973i | 0.155448 | − | 0.247395i | ||||
\(886\) | −18.3878 | − | 36.3022i | −0.617749 | − | 1.21959i | ||||
\(887\) | 37.2945 | + | 37.2945i | 1.25223 | + | 1.25223i | 0.954720 | + | 0.297507i | \(0.0961552\pi\) |
0.297507 | + | 0.954720i | \(0.403845\pi\) | |||||||
\(888\) | 4.89641 | − | 5.52398i | 0.164313 | − | 0.185372i | ||||
\(889\) | −33.5923 | + | 11.7545i | −1.12665 | + | 0.394232i | ||||
\(890\) | −6.40910 | − | 7.71425i | −0.214833 | − | 0.258582i | ||||
\(891\) | 2.37521 | − | 0.267622i | 0.0795726 | − | 0.00896568i | ||||
\(892\) | 47.1632 | − | 1.89233i | 1.57914 | − | 0.0633598i | ||||
\(893\) | 1.97794 | + | 8.66594i | 0.0661894 | + | 0.289995i | ||||
\(894\) | 11.9720 | − | 26.1909i | 0.400404 | − | 0.875953i | ||||
\(895\) | 7.03821 | − | 14.6150i | 0.235261 | − | 0.488525i | ||||
\(896\) | 4.88449 | − | 24.5695i | 0.163179 | − | 0.820810i | ||||
\(897\) | 12.5468 | − | 7.88366i | 0.418925 | − | 0.263228i | ||||
\(898\) | −29.2791 | − | 6.06784i | −0.977055 | − | 0.202486i | ||||
\(899\) | 12.9490 | − | 4.53097i | 0.431874 | − | 0.151116i | ||||
\(900\) | 11.8571 | + | 5.13512i | 0.395237 | + | 0.171171i | ||||
\(901\) | 30.1040 | + | 47.9102i | 1.00291 | + | 1.59612i | ||||
\(902\) | 2.19661 | − | 3.65664i | 0.0731392 | − | 0.121753i | ||||
\(903\) | −4.12686 | − | 1.98739i | −0.137333 | − | 0.0661363i | ||||
\(904\) | 29.7951 | − | 26.8445i | 0.990970 | − | 0.892834i | ||||
\(905\) | 12.9556 | − | 2.95703i | 0.430658 | − | 0.0982948i | ||||
\(906\) | 0.546794 | + | 2.19210i | 0.0181660 | + | 0.0728276i | ||||
\(907\) | −1.78368 | − | 15.8306i | −0.0592261 | − | 0.525646i | −0.987939 | − | 0.154846i | \(-0.950512\pi\) |
0.928713 | − | 0.370800i | \(-0.120917\pi\) | |||||||
\(908\) | 5.01371 | − | 2.66718i | 0.166386 | − | 0.0885134i | ||||
\(909\) | −5.82806 | − | 16.6556i | −0.193305 | − | 0.552433i | ||||
\(910\) | −15.3085 | − | 5.01451i | −0.507472 | − | 0.166229i | ||||
\(911\) | −13.1714 | + | 13.1714i | −0.436389 | + | 0.436389i | −0.890795 | − | 0.454406i | \(-0.849852\pi\) |
0.454406 | + | 0.890795i | \(0.349852\pi\) | |||||||
\(912\) | −8.30099 | − | 1.20534i | −0.274873 | − | 0.0399128i | ||||
\(913\) | −80.7540 | − | 50.7411i | −2.67257 | − | 1.67929i | ||||
\(914\) | 29.5924 | + | 28.4289i | 0.978829 | + | 0.940343i | ||||
\(915\) | 7.09110 | − | 5.65496i | 0.234425 | − | 0.186947i | ||||
\(916\) | 12.8696 | − | 5.09111i | 0.425224 | − | 0.168215i | ||||
\(917\) | 4.02429 | − | 35.7166i | 0.132894 | − | 1.17947i | ||||
\(918\) | 38.2219 | − | 5.08455i | 1.26151 | − | 0.167815i | ||||
\(919\) | −37.4560 | − | 29.8702i | −1.23556 | − | 0.985325i | −0.999909 | − | 0.0134873i | \(-0.995707\pi\) |
−0.235650 | − | 0.971838i | \(-0.575722\pi\) | |||||||
\(920\) | −6.14305 | + | 11.2222i | −0.202530 | + | 0.369985i | ||||
\(921\) | 2.85433 | + | 5.92708i | 0.0940535 | + | 0.195304i | ||||
\(922\) | 15.1657 | − | 0.304124i | 0.499456 | − | 0.0100158i | ||||
\(923\) | 27.7825 | + | 6.34118i | 0.914473 | + | 0.208723i | ||||
\(924\) | 19.0063 | − | 16.4458i | 0.625262 | − | 0.541028i | ||||
\(925\) | −7.97670 | − | 2.79117i | −0.262272 | − | 0.0917731i | ||||
\(926\) | −26.8795 | + | 10.0148i | −0.883315 | + | 0.329108i | ||||
\(927\) | −29.3269 | −0.963222 | ||||||||
\(928\) | −0.364107 | + | 30.4609i | −0.0119524 | + | 0.999929i | ||||
\(929\) | 31.4548 | 1.03200 | 0.515998 | − | 0.856589i | \(-0.327421\pi\) | ||||
0.515998 | + | 0.856589i | \(0.327421\pi\) | |||||||
\(930\) | −4.48588 | + | 1.67136i | −0.147098 | + | 0.0548061i | ||||
\(931\) | 3.99265 | + | 1.39709i | 0.130854 | + | 0.0457877i | ||||
\(932\) | 12.4360 | − | 10.7606i | 0.407354 | − | 0.352476i | ||||
\(933\) | 29.9536 | + | 6.83672i | 0.980638 | + | 0.223824i | ||||
\(934\) | −50.3455 | + | 1.00960i | −1.64735 | + | 0.0330350i | ||||
\(935\) | −16.1324 | − | 33.4994i | −0.527587 | − | 1.09555i | ||||
\(936\) | 10.4911 | − | 19.1653i | 0.342913 | − | 0.626436i | ||||
\(937\) | 12.2673 | + | 9.78282i | 0.400754 | + | 0.319591i | 0.803042 | − | 0.595922i | \(-0.203213\pi\) |
−0.402288 | + | 0.915513i | \(0.631785\pi\) | |||||||
\(938\) | −37.8804 | + | 5.03911i | −1.23684 | + | 0.164533i | ||||
\(939\) | −1.28934 | + | 11.4432i | −0.0420759 | + | 0.373434i | ||||
\(940\) | −10.4747 | + | 4.14371i | −0.341647 | + | 0.135153i | ||||
\(941\) | 25.5725 | − | 20.3934i | 0.833638 | − | 0.664804i | −0.110673 | − | 0.993857i | \(-0.535301\pi\) |
0.944312 | + | 0.329052i | \(0.106729\pi\) | |||||||
\(942\) | −2.80962 | − | 2.69915i | −0.0915423 | − | 0.0879430i | ||||
\(943\) | 1.65625 | + | 1.04069i | 0.0539348 | + | 0.0338895i | ||||
\(944\) | −25.8946 | − | 3.76000i | −0.842796 | − | 0.122378i | ||||
\(945\) | −10.2327 | + | 10.2327i | −0.332869 | + | 0.332869i | ||||
\(946\) | −14.5942 | − | 4.78053i | −0.474499 | − | 0.155428i | ||||
\(947\) | −7.29568 | − | 20.8499i | −0.237078 | − | 0.677529i | −0.999535 | − | 0.0304907i | \(-0.990293\pi\) |
0.762457 | − | 0.647039i | \(-0.223993\pi\) | |||||||
\(948\) | 4.47742 | − | 2.38188i | 0.145420 | − | 0.0773599i | ||||
\(949\) | −0.673252 | − | 5.97527i | −0.0218547 | − | 0.193966i | ||||
\(950\) | 2.32417 | + | 9.31759i | 0.0754059 | + | 0.302303i | ||||
\(951\) | 14.6309 | − | 3.33940i | 0.474439 | − | 0.108288i | ||||
\(952\) | −24.8025 | + | 22.3463i | −0.803852 | + | 0.724247i | ||||
\(953\) | −24.0492 | − | 11.5815i | −0.779030 | − | 0.375161i | 0.00172512 | − | 0.999999i | \(-0.499451\pi\) |
−0.780755 | + | 0.624838i | \(0.785165\pi\) | |||||||
\(954\) | 14.8318 | − | 24.6902i | 0.480199 | − | 0.799373i | ||||
\(955\) | 12.0983 | + | 19.2544i | 0.391492 | + | 0.623056i | ||||
\(956\) | 45.3197 | + | 19.6272i | 1.46574 | + | 0.634790i | ||||
\(957\) | −19.0568 | + | 23.8962i | −0.616020 | + | 0.772454i | ||||
\(958\) | −30.2635 | − | 6.27185i | −0.977769 | − | 0.202634i | ||||
\(959\) | 12.0325 | − | 7.56052i | 0.388550 | − | 0.244142i | ||||
\(960\) | −0.0861499 | − | 10.6296i | −0.00278048 | − | 0.343068i | ||||
\(961\) | −10.6345 | + | 22.0828i | −0.343050 | + | 0.712350i | ||||
\(962\) | −5.94074 | + | 12.9964i | −0.191537 | + | 0.419020i | ||||
\(963\) | 4.00569 | + | 17.5501i | 0.129082 | + | 0.565544i | ||||
\(964\) | −4.64075 | + | 0.186201i | −0.149469 | + | 0.00599712i | ||||
\(965\) | 11.1487 | − | 1.25616i | 0.358891 | − | 0.0404373i | ||||
\(966\) | 7.36511 | + | 8.86494i | 0.236968 | + | 0.285225i | ||||
\(967\) | −2.50322 | + | 0.875916i | −0.0804983 | + | 0.0281676i | −0.370228 | − | 0.928941i | \(-0.620720\pi\) |
0.289730 | + | 0.957109i | \(0.406435\pi\) | |||||||
\(968\) | 35.2586 | − | 39.7776i | 1.13325 | − | 1.27850i | ||||
\(969\) | 7.90453 | + | 7.90453i | 0.253930 | + | 0.253930i | ||||
\(970\) | 15.6846 | + | 30.9654i | 0.503602 | + | 0.994240i | ||||
\(971\) | 6.77385 | − | 10.7805i | 0.217383 | − | 0.345964i | −0.720175 | − | 0.693793i | \(-0.755938\pi\) |
0.937558 | + | 0.347829i | \(0.113081\pi\) | |||||||
\(972\) | −17.8706 | − | 26.0599i | −0.573201 | − | 0.835870i | ||||
\(973\) | 10.7436 | + | 13.4721i | 0.344425 | + | 0.431896i | ||||
\(974\) | 14.7210 | − | 9.66680i | 0.471690 | − | 0.309744i | ||||
\(975\) | 14.0069 | + | 1.57819i | 0.448579 | + | 0.0505427i | ||||
\(976\) | −24.2081 | − | 12.6275i | −0.774883 | − | 0.404196i | ||||
\(977\) | 6.87015 | − | 8.61490i | 0.219796 | − | 0.275615i | −0.659693 | − | 0.751535i | \(-0.729314\pi\) |
0.879488 | + | 0.475920i | \(0.157885\pi\) | |||||||
\(978\) | −16.8974 | − | 1.56151i | −0.540321 | − | 0.0499314i | ||||
\(979\) | −27.2924 | + | 13.1433i | −0.872269 | + | 0.420063i | ||||
\(980\) | −0.982363 | + | 5.26981i | −0.0313804 | + | 0.168338i | ||||
\(981\) | 6.28504 | − | 27.5365i | 0.200666 | − | 0.879174i | ||||
\(982\) | −6.65146 | − | 5.08959i | −0.212257 | − | 0.162415i | ||||
\(983\) | −0.519924 | + | 1.48586i | −0.0165830 | + | 0.0473915i | −0.951877 | − | 0.306479i | \(-0.900849\pi\) |
0.935294 | + | 0.353871i | \(0.115135\pi\) | |||||||
\(984\) | −1.62306 | − | 0.0845527i | −0.0517413 | − | 0.00269544i | ||||
\(985\) | 3.19145i | 0.101688i | ||||||||
\(986\) | 24.6711 | − | 32.2417i | 0.785689 | − | 1.02679i | ||||
\(987\) | 10.1478i | 0.323009i | ||||||||
\(988\) | 16.0500 | − | 2.46351i | 0.510619 | − | 0.0783748i | ||||
\(989\) | 2.32588 | − | 6.64699i | 0.0739588 | − | 0.211362i | ||||
\(990\) | −11.5015 | + | 15.0310i | −0.365541 | + | 0.477717i | ||||
\(991\) | −0.00249084 | + | 0.0109131i | −7.91243e−5 | + | 0.000346666i | −0.974967 | − | 0.222348i | \(-0.928628\pi\) |
0.974888 | + | 0.222694i | \(0.0714852\pi\) | |||||||
\(992\) | 10.0677 | + | 10.3111i | 0.319648 | + | 0.327378i | ||||
\(993\) | −16.3337 | + | 7.86590i | −0.518335 | + | 0.249617i | ||||
\(994\) | −2.03956 | + | 22.0706i | −0.0646909 | + | 0.700036i | ||||
\(995\) | 15.7340 | − | 19.7298i | 0.498801 | − | 0.625477i | ||||
\(996\) | −2.61761 | + | 36.2432i | −0.0829421 | + | 1.14841i | ||||
\(997\) | −20.4116 | − | 2.29984i | −0.646443 | − | 0.0728367i | −0.217346 | − | 0.976095i | \(-0.569740\pi\) |
−0.429098 | + | 0.903258i | \(0.641168\pi\) | |||||||
\(998\) | 2.51494 | + | 3.82985i | 0.0796092 | + | 0.121232i | ||||
\(999\) | 8.00377 | + | 10.0364i | 0.253228 | + | 0.317538i |
(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 | 116.2.l.b.19.2 | ✓ | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.19.10 | yes | 144 | |
29.26 | odd | 28 | inner | 116.2.l.b.55.10 | yes | 144 | |
116.55 | even | 28 | inner | 116.2.l.b.55.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.19.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
116.2.l.b.19.10 | yes | 144 | 4.3 | odd | 2 | inner | |
116.2.l.b.55.2 | yes | 144 | 116.55 | even | 28 | inner | |
116.2.l.b.55.10 | yes | 144 | 29.26 | odd | 28 | inner |