Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(139,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.n (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.12 | ||
Character | \(\chi\) | \(=\) | 280.139 |
Dual form | 280.2.n.b.139.10 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.918230 | + | 1.07557i | −0.649287 | + | 0.760544i | ||||
\(3\) | 1.19038 | 0.687268 | 0.343634 | − | 0.939104i | \(-0.388342\pi\) | ||||
0.343634 | + | 0.939104i | \(0.388342\pi\) | |||||||
\(4\) | −0.313707 | − | 1.97524i | −0.156854 | − | 0.987622i | ||||
\(5\) | −2.22369 | − | 0.234978i | −0.994463 | − | 0.105085i | ||||
\(6\) | −1.09304 | + | 1.28034i | −0.446234 | + | 0.522697i | ||||
\(7\) | −2.11797 | + | 1.58562i | −0.800518 | + | 0.599309i | ||||
\(8\) | 2.41257 | + | 1.47631i | 0.852973 | + | 0.521956i | ||||
\(9\) | −1.58299 | −0.527663 | ||||||||
\(10\) | 2.29459 | − | 2.17597i | 0.725614 | − | 0.688102i | ||||
\(11\) | −3.65078 | −1.10075 | −0.550375 | − | 0.834917i | \(-0.685515\pi\) | ||||
−0.550375 | + | 0.834917i | \(0.685515\pi\) | |||||||
\(12\) | −0.373431 | − | 2.35130i | −0.107800 | − | 0.678760i | ||||
\(13\) | 5.56044i | 1.54219i | 0.636721 | + | 0.771095i | \(0.280290\pi\) | ||||
−0.636721 | + | 0.771095i | \(0.719710\pi\) | |||||||
\(14\) | 0.239337 | − | 3.73399i | 0.0639654 | − | 0.997952i | ||||
\(15\) | −2.64704 | − | 0.279713i | −0.683462 | − | 0.0722217i | ||||
\(16\) | −3.80318 | + | 1.23930i | −0.950794 | + | 0.309824i | ||||
\(17\) | −0.808468 | −0.196082 | −0.0980411 | − | 0.995182i | \(-0.531258\pi\) | ||||
−0.0980411 | + | 0.995182i | \(0.531258\pi\) | |||||||
\(18\) | 1.45355 | − | 1.70262i | 0.342605 | − | 0.401311i | ||||
\(19\) | 4.54845i | 1.04349i | 0.853103 | + | 0.521743i | \(0.174718\pi\) | ||||
−0.853103 | + | 0.521743i | \(0.825282\pi\) | |||||||
\(20\) | 0.233448 | + | 4.46604i | 0.0522005 | + | 0.998637i | ||||
\(21\) | −2.52120 | + | 1.88750i | −0.550170 | + | 0.411885i | ||||
\(22\) | 3.35225 | − | 3.92667i | 0.714703 | − | 0.837169i | ||||
\(23\) | 1.75488 | 0.365917 | 0.182959 | − | 0.983121i | \(-0.441433\pi\) | ||||
0.182959 | + | 0.983121i | \(0.441433\pi\) | |||||||
\(24\) | 2.87188 | + | 1.75738i | 0.586220 | + | 0.358723i | ||||
\(25\) | 4.88957 | + | 1.04503i | 0.977914 | + | 0.209007i | ||||
\(26\) | −5.98065 | − | 5.10576i | −1.17290 | − | 1.00132i | ||||
\(27\) | −5.45551 | −1.04991 | ||||||||
\(28\) | 3.79641 | + | 3.68609i | 0.717454 | + | 0.696606i | ||||
\(29\) | − | 8.36272i | − | 1.55292i | −0.630168 | − | 0.776459i | \(-0.717014\pi\) | ||
0.630168 | − | 0.776459i | \(-0.282986\pi\) | |||||||
\(30\) | 2.73144 | − | 2.59024i | 0.498691 | − | 0.472910i | ||||
\(31\) | 4.73282 | 0.850040 | 0.425020 | − | 0.905184i | \(-0.360267\pi\) | ||||
0.425020 | + | 0.905184i | \(0.360267\pi\) | |||||||
\(32\) | 2.15924 | − | 5.22855i | 0.381703 | − | 0.924285i | ||||
\(33\) | −4.34582 | −0.756510 | ||||||||
\(34\) | 0.742360 | − | 0.869565i | 0.127314 | − | 0.149129i | ||||
\(35\) | 5.08229 | − | 3.02825i | 0.859064 | − | 0.511868i | ||||
\(36\) | 0.496595 | + | 3.12679i | 0.0827659 | + | 0.521132i | ||||
\(37\) | −6.15399 | −1.01171 | −0.505855 | − | 0.862619i | \(-0.668823\pi\) | ||||
−0.505855 | + | 0.862619i | \(0.668823\pi\) | |||||||
\(38\) | −4.89218 | − | 4.17652i | −0.793617 | − | 0.677521i | ||||
\(39\) | 6.61905i | 1.05990i | ||||||||
\(40\) | −5.01790 | − | 3.84976i | −0.793400 | − | 0.608701i | ||||
\(41\) | − | 7.65085i | − | 1.19486i | −0.801920 | − | 0.597431i | \(-0.796188\pi\) | ||
0.801920 | − | 0.597431i | \(-0.203812\pi\) | |||||||
\(42\) | 0.284902 | − | 4.44488i | 0.0439613 | − | 0.685860i | ||||
\(43\) | − | 2.66483i | − | 0.406382i | −0.979139 | − | 0.203191i | \(-0.934869\pi\) | ||
0.979139 | − | 0.203191i | \(-0.0651312\pi\) | |||||||
\(44\) | 1.14527 | + | 7.21117i | 0.172657 | + | 1.08713i | ||||
\(45\) | 3.52008 | + | 0.371968i | 0.524742 | + | 0.0554497i | ||||
\(46\) | −1.61138 | + | 1.88750i | −0.237585 | + | 0.278296i | ||||
\(47\) | 4.79391i | 0.699263i | 0.936887 | + | 0.349632i | \(0.113693\pi\) | ||||
−0.936887 | + | 0.349632i | \(0.886307\pi\) | |||||||
\(48\) | −4.52723 | + | 1.47524i | −0.653450 | + | 0.212932i | ||||
\(49\) | 1.97161 | − | 6.71660i | 0.281658 | − | 0.959515i | ||||
\(50\) | −5.61376 | + | 4.29950i | −0.793906 | + | 0.608041i | ||||
\(51\) | −0.962386 | −0.134761 | ||||||||
\(52\) | 10.9832 | − | 1.74435i | 1.52310 | − | 0.241898i | ||||
\(53\) | −2.98963 | −0.410658 | −0.205329 | − | 0.978693i | \(-0.565826\pi\) | ||||
−0.205329 | + | 0.978693i | \(0.565826\pi\) | |||||||
\(54\) | 5.00941 | − | 5.86779i | 0.681695 | − | 0.798505i | ||||
\(55\) | 8.11818 | + | 0.857851i | 1.09466 | + | 0.115673i | ||||
\(56\) | −7.45063 | + | 0.698632i | −0.995633 | + | 0.0933587i | ||||
\(57\) | 5.41439i | 0.717154i | ||||||||
\(58\) | 8.99470 | + | 7.67890i | 1.18106 | + | 1.00829i | ||||
\(59\) | 8.92626i | 1.16210i | 0.813868 | + | 0.581050i | \(0.197358\pi\) | ||||
−0.813868 | + | 0.581050i | \(0.802642\pi\) | |||||||
\(60\) | 0.277892 | + | 5.31629i | 0.0358757 | + | 0.686331i | ||||
\(61\) | −4.08673 | −0.523253 | −0.261626 | − | 0.965169i | \(-0.584259\pi\) | ||||
−0.261626 | + | 0.965169i | \(0.584259\pi\) | |||||||
\(62\) | −4.34582 | + | 5.09049i | −0.551919 | + | 0.646492i | ||||
\(63\) | 3.35273 | − | 2.51002i | 0.422404 | − | 0.316233i | ||||
\(64\) | 3.64099 | + | 7.12342i | 0.455124 | + | 0.890428i | ||||
\(65\) | 1.30658 | − | 12.3647i | 0.162061 | − | 1.53365i | ||||
\(66\) | 3.99046 | − | 4.67424i | 0.491192 | − | 0.575359i | ||||
\(67\) | 11.7723i | 1.43821i | 0.694901 | + | 0.719105i | \(0.255448\pi\) | ||||
−0.694901 | + | 0.719105i | \(0.744552\pi\) | |||||||
\(68\) | 0.253622 | + | 1.59692i | 0.0307562 | + | 0.193655i | ||||
\(69\) | 2.08897 | 0.251483 | ||||||||
\(70\) | −1.40962 | + | 8.24700i | −0.168481 | + | 0.985705i | ||||
\(71\) | 8.17275i | 0.969927i | 0.874534 | + | 0.484963i | \(0.161167\pi\) | ||||
−0.874534 | + | 0.484963i | \(0.838833\pi\) | |||||||
\(72\) | −3.81908 | − | 2.33699i | −0.450082 | − | 0.275417i | ||||
\(73\) | 15.1783 | 1.77648 | 0.888241 | − | 0.459378i | \(-0.151928\pi\) | ||||
0.888241 | + | 0.459378i | \(0.151928\pi\) | |||||||
\(74\) | 5.65078 | − | 6.61905i | 0.656889 | − | 0.769449i | ||||
\(75\) | 5.82046 | + | 1.24399i | 0.672089 | + | 0.143644i | ||||
\(76\) | 8.98430 | − | 1.42688i | 1.03057 | − | 0.163674i | ||||
\(77\) | 7.73224 | − | 5.78875i | 0.881170 | − | 0.659689i | ||||
\(78\) | −7.11926 | − | 6.07781i | −0.806098 | − | 0.688177i | ||||
\(79\) | 2.49307i | 0.280492i | 0.990117 | + | 0.140246i | \(0.0447893\pi\) | ||||
−0.990117 | + | 0.140246i | \(0.955211\pi\) | |||||||
\(80\) | 8.74828 | − | 1.86214i | 0.978088 | − | 0.208194i | ||||
\(81\) | −1.74517 | −0.193908 | ||||||||
\(82\) | 8.22903 | + | 7.02524i | 0.908745 | + | 0.775808i | ||||
\(83\) | −5.75885 | −0.632116 | −0.316058 | − | 0.948740i | \(-0.602359\pi\) | ||||
−0.316058 | + | 0.948740i | \(0.602359\pi\) | |||||||
\(84\) | 4.51918 | + | 4.38786i | 0.493083 | + | 0.478754i | ||||
\(85\) | 1.79778 | + | 0.189972i | 0.194997 | + | 0.0206054i | ||||
\(86\) | 2.86621 | + | 2.44692i | 0.309071 | + | 0.263858i | ||||
\(87\) | − | 9.95483i | − | 1.06727i | ||||||
\(88\) | −8.80775 | − | 5.38969i | −0.938910 | − | 0.574543i | ||||
\(89\) | 4.95764i | 0.525509i | 0.964863 | + | 0.262755i | \(0.0846310\pi\) | ||||
−0.964863 | + | 0.262755i | \(0.915369\pi\) | |||||||
\(90\) | −3.63232 | + | 3.44454i | −0.382880 | + | 0.363086i | ||||
\(91\) | −8.81676 | − | 11.7769i | −0.924247 | − | 1.23455i | ||||
\(92\) | −0.550517 | − | 3.46631i | −0.0573954 | − | 0.361388i | ||||
\(93\) | 5.63387 | 0.584205 | ||||||||
\(94\) | −5.15619 | − | 4.40191i | −0.531820 | − | 0.454022i | ||||
\(95\) | 1.06878 | − | 10.1143i | 0.109655 | − | 1.03771i | ||||
\(96\) | 2.57032 | − | 6.22397i | 0.262332 | − | 0.635231i | ||||
\(97\) | −11.7195 | −1.18993 | −0.594967 | − | 0.803750i | \(-0.702835\pi\) | ||||
−0.594967 | + | 0.803750i | \(0.702835\pi\) | |||||||
\(98\) | 5.41379 | + | 8.28799i | 0.546876 | + | 0.837214i | ||||
\(99\) | 5.77914 | 0.580826 | ||||||||
\(100\) | 0.530305 | − | 9.98593i | 0.0530305 | − | 0.998593i | ||||
\(101\) | −7.10724 | −0.707197 | −0.353598 | − | 0.935397i | \(-0.615042\pi\) | ||||
−0.353598 | + | 0.935397i | \(0.615042\pi\) | |||||||
\(102\) | 0.883692 | − | 1.03511i | 0.0874985 | − | 0.102492i | ||||
\(103\) | 5.06789i | 0.499354i | 0.968329 | + | 0.249677i | \(0.0803244\pi\) | ||||
−0.968329 | + | 0.249677i | \(0.919676\pi\) | |||||||
\(104\) | −8.20896 | + | 13.4150i | −0.804955 | + | 1.31544i | ||||
\(105\) | 6.04987 | − | 3.60478i | 0.590407 | − | 0.351790i | ||||
\(106\) | 2.74517 | − | 3.21556i | 0.266635 | − | 0.312323i | ||||
\(107\) | 10.8670i | 1.05056i | 0.850931 | + | 0.525278i | \(0.176039\pi\) | ||||
−0.850931 | + | 0.525278i | \(0.823961\pi\) | |||||||
\(108\) | 1.71143 | + | 10.7760i | 0.164683 | + | 1.03692i | ||||
\(109\) | 7.15158i | 0.684997i | 0.939518 | + | 0.342498i | \(0.111273\pi\) | ||||
−0.939518 | + | 0.342498i | \(0.888727\pi\) | |||||||
\(110\) | −8.37704 | + | 7.94398i | −0.798719 | + | 0.757429i | ||||
\(111\) | −7.32560 | −0.695315 | ||||||||
\(112\) | 6.08997 | − | 8.65519i | 0.575448 | − | 0.817839i | ||||
\(113\) | − | 0.0847428i | − | 0.00797193i | −0.999992 | − | 0.00398597i | \(-0.998731\pi\) | ||
0.999992 | − | 0.00398597i | \(-0.00126878\pi\) | |||||||
\(114\) | −5.82357 | − | 4.97166i | −0.545427 | − | 0.465638i | ||||
\(115\) | −3.90230 | − | 0.412357i | −0.363891 | − | 0.0384525i | ||||
\(116\) | −16.5184 | + | 2.62344i | −1.53370 | + | 0.243581i | ||||
\(117\) | − | 8.80212i | − | 0.813757i | ||||||
\(118\) | −9.60083 | − | 8.19636i | −0.883828 | − | 0.754536i | ||||
\(119\) | 1.71231 | − | 1.28192i | 0.156967 | − | 0.117514i | ||||
\(120\) | −5.97322 | − | 4.58269i | −0.545278 | − | 0.418340i | ||||
\(121\) | 2.32816 | 0.211651 | ||||||||
\(122\) | 3.75256 | − | 4.39557i | 0.339741 | − | 0.397956i | ||||
\(123\) | − | 9.10743i | − | 0.821190i | ||||||
\(124\) | −1.48472 | − | 9.34847i | −0.133332 | − | 0.839518i | ||||
\(125\) | −10.6273 | − | 3.47277i | −0.950536 | − | 0.310614i | ||||
\(126\) | −0.378867 | + | 5.91088i | −0.0337522 | + | 0.526583i | ||||
\(127\) | 5.93446 | 0.526598 | 0.263299 | − | 0.964714i | \(-0.415189\pi\) | ||||
0.263299 | + | 0.964714i | \(0.415189\pi\) | |||||||
\(128\) | −11.0050 | − | 2.62479i | −0.972716 | − | 0.232001i | ||||
\(129\) | − | 3.17216i | − | 0.279293i | ||||||
\(130\) | 12.0994 | + | 12.7589i | 1.06118 | + | 1.11903i | ||||
\(131\) | 17.2792i | 1.50969i | 0.655905 | + | 0.754844i | \(0.272287\pi\) | ||||
−0.655905 | + | 0.754844i | \(0.727713\pi\) | |||||||
\(132\) | 1.36331 | + | 8.58405i | 0.118661 | + | 0.747146i | ||||
\(133\) | −7.21212 | − | 9.63349i | −0.625370 | − | 0.835329i | ||||
\(134\) | −12.6619 | − | 10.8096i | −1.09382 | − | 0.933811i | ||||
\(135\) | 12.1313 | + | 1.28192i | 1.04410 | + | 0.110330i | ||||
\(136\) | −1.95049 | − | 1.19355i | −0.167253 | − | 0.102346i | ||||
\(137\) | 6.59924i | 0.563811i | 0.959442 | + | 0.281906i | \(0.0909665\pi\) | ||||
−0.959442 | + | 0.281906i | \(0.909033\pi\) | |||||||
\(138\) | −1.91816 | + | 2.24684i | −0.163285 | + | 0.191264i | ||||
\(139\) | − | 6.37544i | − | 0.540757i | −0.962754 | − | 0.270379i | \(-0.912851\pi\) | ||
0.962754 | − | 0.270379i | \(-0.0871489\pi\) | |||||||
\(140\) | −7.57588 | − | 9.08878i | −0.640279 | − | 0.768142i | ||||
\(141\) | 5.70658i | 0.480581i | ||||||||
\(142\) | −8.79037 | − | 7.50446i | −0.737672 | − | 0.629760i | ||||
\(143\) | − | 20.2999i | − | 1.69756i | ||||||
\(144\) | 6.02039 | − | 1.96179i | 0.501699 | − | 0.163483i | ||||
\(145\) | −1.96505 | + | 18.5961i | −0.163189 | + | 1.54432i | ||||
\(146\) | −13.9371 | + | 16.3253i | −1.15345 | + | 1.35109i | ||||
\(147\) | 2.34697 | − | 7.99533i | 0.193575 | − | 0.659443i | ||||
\(148\) | 1.93055 | + | 12.1556i | 0.158690 | + | 0.999186i | ||||
\(149\) | − | 17.0131i | − | 1.39377i | −0.717184 | − | 0.696883i | \(-0.754569\pi\) | ||
0.717184 | − | 0.696883i | \(-0.245431\pi\) | |||||||
\(150\) | −6.68252 | + | 5.11805i | −0.545626 | + | 0.417887i | ||||
\(151\) | − | 14.7918i | − | 1.20374i | −0.798594 | − | 0.601870i | \(-0.794423\pi\) | ||
0.798594 | − | 0.601870i | \(-0.205577\pi\) | |||||||
\(152\) | −6.71494 | + | 10.9735i | −0.544653 | + | 0.890065i | ||||
\(153\) | 1.27980 | 0.103465 | ||||||||
\(154\) | −0.873764 | + | 13.6320i | −0.0704099 | + | 1.09850i | ||||
\(155\) | −10.5243 | − | 1.11211i | −0.845333 | − | 0.0893267i | ||||
\(156\) | 13.0742 | − | 2.07644i | 1.04678 | − | 0.166248i | ||||
\(157\) | 16.6742i | 1.33075i | 0.746510 | + | 0.665374i | \(0.231728\pi\) | ||||
−0.746510 | + | 0.665374i | \(0.768272\pi\) | |||||||
\(158\) | −2.68147 | − | 2.28921i | −0.213326 | − | 0.182120i | ||||
\(159\) | −3.55881 | −0.282232 | ||||||||
\(160\) | −6.03007 | + | 11.1193i | −0.476719 | + | 0.879056i | ||||
\(161\) | −3.71678 | + | 2.78257i | −0.292923 | + | 0.219297i | ||||
\(162\) | 1.60247 | − | 1.87706i | 0.125902 | − | 0.147476i | ||||
\(163\) | − | 10.8670i | − | 0.851172i | −0.904918 | − | 0.425586i | \(-0.860068\pi\) | ||
0.904918 | − | 0.425586i | \(-0.139932\pi\) | |||||||
\(164\) | −15.1123 | + | 2.40012i | −1.18007 | + | 0.187418i | ||||
\(165\) | 9.66374 | + | 1.02117i | 0.752321 | + | 0.0794981i | ||||
\(166\) | 5.28795 | − | 6.19406i | 0.410425 | − | 0.480752i | ||||
\(167\) | − | 5.06789i | − | 0.392165i | −0.980587 | − | 0.196082i | \(-0.937178\pi\) | ||
0.980587 | − | 0.196082i | \(-0.0628220\pi\) | |||||||
\(168\) | −8.86910 | + | 0.831640i | −0.684266 | + | 0.0641624i | ||||
\(169\) | −17.9185 | −1.37835 | ||||||||
\(170\) | −1.85510 | + | 1.75920i | −0.142280 | + | 0.134925i | ||||
\(171\) | − | 7.20015i | − | 0.550609i | ||||||
\(172\) | −5.26368 | + | 0.835974i | −0.401352 | + | 0.0637424i | ||||
\(173\) | − | 3.71164i | − | 0.282191i | −0.989996 | − | 0.141095i | \(-0.954938\pi\) | ||
0.989996 | − | 0.141095i | \(-0.0450624\pi\) | |||||||
\(174\) | 10.7071 | + | 9.14083i | 0.811706 | + | 0.692964i | ||||
\(175\) | −12.0130 | + | 5.53965i | −0.908098 | + | 0.418759i | ||||
\(176\) | 13.8845 | − | 4.52439i | 1.04659 | − | 0.341039i | ||||
\(177\) | 10.6257i | 0.798674i | ||||||||
\(178\) | −5.33230 | − | 4.55226i | −0.399673 | − | 0.341206i | ||||
\(179\) | 7.26949 | 0.543347 | 0.271673 | − | 0.962390i | \(-0.412423\pi\) | ||||
0.271673 | + | 0.962390i | \(0.412423\pi\) | |||||||
\(180\) | −0.369546 | − | 7.06970i | −0.0275443 | − | 0.526944i | ||||
\(181\) | 18.2341 | 1.35533 | 0.677666 | − | 0.735370i | \(-0.262992\pi\) | ||||
0.677666 | + | 0.735370i | \(0.262992\pi\) | |||||||
\(182\) | 20.7627 | + | 1.33082i | 1.53903 | + | 0.0986467i | ||||
\(183\) | −4.86477 | −0.359614 | ||||||||
\(184\) | 4.23377 | + | 2.59075i | 0.312117 | + | 0.190993i | ||||
\(185\) | 13.6845 | + | 1.44605i | 1.00611 | + | 0.106316i | ||||
\(186\) | −5.17318 | + | 6.05962i | −0.379316 | + | 0.444313i | ||||
\(187\) | 2.95153 | 0.215838 | ||||||||
\(188\) | 9.46913 | − | 1.50388i | 0.690608 | − | 0.109682i | ||||
\(189\) | 11.5546 | − | 8.65037i | 0.840475 | − | 0.629222i | ||||
\(190\) | 9.89729 | + | 10.4368i | 0.718025 | + | 0.757168i | ||||
\(191\) | − | 2.49307i | − | 0.180392i | −0.995924 | − | 0.0901960i | \(-0.971251\pi\) | ||
0.995924 | − | 0.0901960i | \(-0.0287494\pi\) | |||||||
\(192\) | 4.33417 | + | 8.47960i | 0.312792 | + | 0.611962i | ||||
\(193\) | − | 14.0190i | − | 1.00911i | −0.863380 | − | 0.504554i | \(-0.831657\pi\) | ||
0.863380 | − | 0.504554i | \(-0.168343\pi\) | |||||||
\(194\) | 10.7612 | − | 12.6051i | 0.772608 | − | 0.904997i | ||||
\(195\) | 1.55533 | − | 14.7187i | 0.111380 | − | 1.05403i | ||||
\(196\) | −13.8854 | − | 1.78736i | −0.991817 | − | 0.127669i | ||||
\(197\) | 8.27025 | 0.589231 | 0.294615 | − | 0.955616i | \(-0.404808\pi\) | ||||
0.294615 | + | 0.955616i | \(0.404808\pi\) | |||||||
\(198\) | −5.30658 | + | 6.21588i | −0.377122 | + | 0.441743i | ||||
\(199\) | −27.1530 | −1.92483 | −0.962413 | − | 0.271592i | \(-0.912450\pi\) | ||||
−0.962413 | + | 0.271592i | \(0.912450\pi\) | |||||||
\(200\) | 10.2536 | + | 9.73976i | 0.725042 | + | 0.688705i | ||||
\(201\) | 14.0135i | 0.988435i | ||||||||
\(202\) | 6.52608 | − | 7.64434i | 0.459174 | − | 0.537854i | ||||
\(203\) | 13.2601 | + | 17.7120i | 0.930677 | + | 1.24314i | ||||
\(204\) | 0.301907 | + | 1.90095i | 0.0211377 | + | 0.133093i | ||||
\(205\) | −1.79778 | + | 17.0131i | −0.125562 | + | 1.18825i | ||||
\(206\) | −5.45087 | − | 4.65349i | −0.379780 | − | 0.324224i | ||||
\(207\) | −2.77795 | −0.193081 | ||||||||
\(208\) | −6.89103 | − | 21.1473i | −0.477807 | − | 1.46630i | ||||
\(209\) | − | 16.6054i | − | 1.14862i | ||||||
\(210\) | −1.67798 | + | 9.81708i | −0.115792 | + | 0.677443i | ||||
\(211\) | 20.1183 | 1.38500 | 0.692501 | − | 0.721417i | \(-0.256509\pi\) | ||||
0.692501 | + | 0.721417i | \(0.256509\pi\) | |||||||
\(212\) | 0.937869 | + | 5.90526i | 0.0644131 | + | 0.405575i | ||||
\(213\) | 9.72869i | 0.666599i | ||||||||
\(214\) | −11.6883 | − | 9.97844i | −0.798994 | − | 0.682112i | ||||
\(215\) | −0.626175 | + | 5.92574i | −0.0427048 | + | 0.404132i | ||||
\(216\) | −13.1618 | − | 8.05405i | −0.895547 | − | 0.548008i | ||||
\(217\) | −10.0240 | + | 7.50446i | −0.680472 | + | 0.509436i | ||||
\(218\) | −7.69203 | − | 6.56679i | −0.520970 | − | 0.444759i | ||||
\(219\) | 18.0679 | 1.22092 | ||||||||
\(220\) | −0.852265 | − | 16.3045i | −0.0574597 | − | 1.09925i | ||||
\(221\) | − | 4.49544i | − | 0.302396i | ||||||
\(222\) | 6.72658 | − | 7.87920i | 0.451459 | − | 0.528817i | ||||
\(223\) | 15.7322i | 1.05350i | 0.850019 | + | 0.526752i | \(0.176590\pi\) | ||||
−0.850019 | + | 0.526752i | \(0.823410\pi\) | |||||||
\(224\) | 3.71728 | + | 14.4976i | 0.248372 | + | 0.968665i | ||||
\(225\) | −7.74014 | − | 1.65428i | −0.516009 | − | 0.110285i | ||||
\(226\) | 0.0911469 | + | 0.0778134i | 0.00606300 | + | 0.00517607i | ||||
\(227\) | −17.5252 | −1.16319 | −0.581595 | − | 0.813478i | \(-0.697571\pi\) | ||||
−0.581595 | + | 0.813478i | \(0.697571\pi\) | |||||||
\(228\) | 10.6947 | − | 1.69853i | 0.708277 | − | 0.112488i | ||||
\(229\) | 16.5729 | 1.09517 | 0.547583 | − | 0.836751i | \(-0.315548\pi\) | ||||
0.547583 | + | 0.836751i | \(0.315548\pi\) | |||||||
\(230\) | 4.02673 | − | 3.81856i | 0.265515 | − | 0.251788i | ||||
\(231\) | 9.20432 | − | 6.89082i | 0.605600 | − | 0.453383i | ||||
\(232\) | 12.3460 | − | 20.1757i | 0.810555 | − | 1.32460i | ||||
\(233\) | 14.1037i | 0.923964i | 0.886889 | + | 0.461982i | \(0.152862\pi\) | ||||
−0.886889 | + | 0.461982i | \(0.847138\pi\) | |||||||
\(234\) | 9.46731 | + | 8.08238i | 0.618898 | + | 0.528361i | ||||
\(235\) | 1.12646 | − | 10.6602i | 0.0734823 | − | 0.695392i | ||||
\(236\) | 17.6315 | − | 2.80023i | 1.14772 | − | 0.182279i | ||||
\(237\) | 2.96770i | 0.192773i | ||||||||
\(238\) | −0.193496 | + | 3.01882i | −0.0125425 | + | 0.195681i | ||||
\(239\) | 22.7217i | 1.46975i | 0.678205 | + | 0.734873i | \(0.262758\pi\) | ||||
−0.678205 | + | 0.734873i | \(0.737242\pi\) | |||||||
\(240\) | 10.4138 | − | 2.21666i | 0.672208 | − | 0.143085i | ||||
\(241\) | 15.0216i | 0.967629i | 0.875171 | + | 0.483814i | \(0.160749\pi\) | ||||
−0.875171 | + | 0.483814i | \(0.839251\pi\) | |||||||
\(242\) | −2.13779 | + | 2.50410i | −0.137422 | + | 0.160970i | ||||
\(243\) | 14.2891 | 0.916647 | ||||||||
\(244\) | 1.28204 | + | 8.07229i | 0.0820740 | + | 0.516776i | ||||
\(245\) | −5.96249 | + | 14.4723i | −0.380930 | + | 0.924604i | ||||
\(246\) | 9.79569 | + | 8.36272i | 0.624551 | + | 0.533188i | ||||
\(247\) | −25.2914 | −1.60925 | ||||||||
\(248\) | 11.4183 | + | 6.98713i | 0.725061 | + | 0.443683i | ||||
\(249\) | −6.85524 | −0.434433 | ||||||||
\(250\) | 13.4935 | − | 8.24163i | 0.853406 | − | 0.521247i | ||||
\(251\) | − | 15.4522i | − | 0.975332i | −0.873030 | − | 0.487666i | \(-0.837848\pi\) | ||
0.873030 | − | 0.487666i | \(-0.162152\pi\) | |||||||
\(252\) | −6.00968 | − | 5.83504i | −0.378574 | − | 0.367573i | ||||
\(253\) | −6.40666 | −0.402783 | ||||||||
\(254\) | −5.44920 | + | 6.38293i | −0.341913 | + | 0.400501i | ||||
\(255\) | 2.14005 | + | 0.226139i | 0.134015 | + | 0.0141614i | ||||
\(256\) | 12.9283 | − | 9.42652i | 0.808018 | − | 0.589157i | ||||
\(257\) | −19.9954 | −1.24728 | −0.623640 | − | 0.781712i | \(-0.714347\pi\) | ||||
−0.623640 | + | 0.781712i | \(0.714347\pi\) | |||||||
\(258\) | 3.41188 | + | 2.91277i | 0.212415 | + | 0.181341i | ||||
\(259\) | 13.0340 | − | 9.75789i | 0.809891 | − | 0.606326i | ||||
\(260\) | −24.8331 | + | 1.29807i | −1.54009 | + | 0.0805031i | ||||
\(261\) | 13.2381i | 0.819418i | ||||||||
\(262\) | −18.5850 | − | 15.8662i | −1.14818 | − | 0.980220i | ||||
\(263\) | 3.10990 | 0.191764 | 0.0958822 | − | 0.995393i | \(-0.469433\pi\) | ||||
0.0958822 | + | 0.995393i | \(0.469433\pi\) | |||||||
\(264\) | −10.4846 | − | 6.41579i | −0.645282 | − | 0.394865i | ||||
\(265\) | 6.64801 | + | 0.702498i | 0.408384 | + | 0.0431541i | ||||
\(266\) | 16.9839 | + | 1.08861i | 1.04135 | + | 0.0667470i | ||||
\(267\) | 5.90149i | 0.361165i | ||||||||
\(268\) | 23.2531 | − | 3.69304i | 1.42041 | − | 0.225588i | ||||
\(269\) | 11.2181 | 0.683980 | 0.341990 | − | 0.939704i | \(-0.388899\pi\) | ||||
0.341990 | + | 0.939704i | \(0.388899\pi\) | |||||||
\(270\) | −12.5182 | + | 11.8710i | −0.761832 | + | 0.722448i | ||||
\(271\) | 6.60431 | 0.401183 | 0.200592 | − | 0.979675i | \(-0.435714\pi\) | ||||
0.200592 | + | 0.979675i | \(0.435714\pi\) | |||||||
\(272\) | 3.07475 | − | 1.00193i | 0.186434 | − | 0.0607510i | ||||
\(273\) | −10.4953 | − | 14.0190i | −0.635205 | − | 0.848466i | ||||
\(274\) | −7.09796 | − | 6.05962i | −0.428803 | − | 0.366075i | ||||
\(275\) | −17.8507 | − | 3.81519i | −1.07644 | − | 0.230064i | ||||
\(276\) | −0.655326 | − | 4.12623i | −0.0394460 | − | 0.248370i | ||||
\(277\) | −16.0704 | −0.965577 | −0.482789 | − | 0.875737i | \(-0.660376\pi\) | ||||
−0.482789 | + | 0.875737i | \(0.660376\pi\) | |||||||
\(278\) | 6.85724 | + | 5.85412i | 0.411270 | + | 0.351107i | ||||
\(279\) | −7.49201 | −0.448535 | ||||||||
\(280\) | 16.7320 | + | 0.197193i | 0.999931 | + | 0.0117846i | ||||
\(281\) | 21.1540 | 1.26194 | 0.630972 | − | 0.775806i | \(-0.282656\pi\) | ||||
0.630972 | + | 0.775806i | \(0.282656\pi\) | |||||||
\(282\) | −6.13784 | − | 5.23996i | −0.365503 | − | 0.312035i | ||||
\(283\) | −24.7231 | −1.46964 | −0.734819 | − | 0.678263i | \(-0.762733\pi\) | ||||
−0.734819 | + | 0.678263i | \(0.762733\pi\) | |||||||
\(284\) | 16.1432 | − | 2.56385i | 0.957921 | − | 0.152136i | ||||
\(285\) | 1.27226 | − | 12.0399i | 0.0753623 | − | 0.713183i | ||||
\(286\) | 21.8340 | + | 18.6400i | 1.29107 | + | 1.10221i | ||||
\(287\) | 12.1313 | + | 16.2043i | 0.716091 | + | 0.956508i | ||||
\(288\) | −3.41806 | + | 8.27674i | −0.201411 | + | 0.487711i | ||||
\(289\) | −16.3464 | −0.961552 | ||||||||
\(290\) | −18.1970 | − | 19.1890i | −1.06857 | − | 1.12682i | ||||
\(291\) | −13.9507 | −0.817803 | ||||||||
\(292\) | −4.76153 | − | 29.9808i | −0.278647 | − | 1.75449i | ||||
\(293\) | 11.4011i | 0.666060i | 0.942916 | + | 0.333030i | \(0.108071\pi\) | ||||
−0.942916 | + | 0.333030i | \(0.891929\pi\) | |||||||
\(294\) | 6.44449 | + | 9.86588i | 0.375850 | + | 0.575390i | ||||
\(295\) | 2.09747 | − | 19.8492i | 0.122120 | − | 1.15567i | ||||
\(296\) | −14.8469 | − | 9.08522i | −0.862960 | − | 0.528067i | ||||
\(297\) | 19.9168 | 1.15569 | ||||||||
\(298\) | 18.2988 | + | 15.6219i | 1.06002 | + | 0.904954i | ||||
\(299\) | 9.75789i | 0.564314i | ||||||||
\(300\) | 0.631266 | − | 11.8871i | 0.0364462 | − | 0.686300i | ||||
\(301\) | 4.22540 | + | 5.64402i | 0.243548 | + | 0.325316i | ||||
\(302\) | 15.9096 | + | 13.5823i | 0.915496 | + | 0.781572i | ||||
\(303\) | −8.46033 | −0.486034 | ||||||||
\(304\) | −5.63687 | − | 17.2986i | −0.323297 | − | 0.992140i | ||||
\(305\) | 9.08762 | + | 0.960292i | 0.520355 | + | 0.0549861i | ||||
\(306\) | −1.17515 | + | 1.37651i | −0.0671787 | + | 0.0786900i | ||||
\(307\) | −0.426554 | −0.0243447 | −0.0121723 | − | 0.999926i | \(-0.503875\pi\) | ||||
−0.0121723 | + | 0.999926i | \(0.503875\pi\) | |||||||
\(308\) | −13.8598 | − | 13.4571i | −0.789738 | − | 0.766789i | ||||
\(309\) | 6.03272i | 0.343190i | ||||||||
\(310\) | 10.8599 | − | 10.2985i | 0.616800 | − | 0.584914i | ||||
\(311\) | 0.586913 | 0.0332808 | 0.0166404 | − | 0.999862i | \(-0.494703\pi\) | ||||
0.0166404 | + | 0.999862i | \(0.494703\pi\) | |||||||
\(312\) | −9.77180 | + | 15.9689i | −0.553219 | + | 0.904063i | ||||
\(313\) | 6.45704 | 0.364973 | 0.182487 | − | 0.983208i | \(-0.441585\pi\) | ||||
0.182487 | + | 0.983208i | \(0.441585\pi\) | |||||||
\(314\) | −17.9343 | − | 15.3108i | −1.01209 | − | 0.864038i | ||||
\(315\) | −8.04522 | + | 4.79369i | −0.453297 | + | 0.270094i | ||||
\(316\) | 4.92442 | − | 0.782093i | 0.277020 | − | 0.0439962i | ||||
\(317\) | −10.3086 | −0.578986 | −0.289493 | − | 0.957180i | \(-0.593487\pi\) | ||||
−0.289493 | + | 0.957180i | \(0.593487\pi\) | |||||||
\(318\) | 3.26780 | − | 3.82775i | 0.183249 | − | 0.214650i | ||||
\(319\) | 30.5304i | 1.70937i | ||||||||
\(320\) | −6.42259 | − | 16.6958i | −0.359033 | − | 0.933325i | ||||
\(321\) | 12.9359i | 0.722013i | ||||||||
\(322\) | 0.420006 | − | 6.55270i | 0.0234060 | − | 0.365168i | ||||
\(323\) | − | 3.67728i | − | 0.204609i | ||||||
\(324\) | 0.547473 | + | 3.44714i | 0.0304151 | + | 0.191508i | ||||
\(325\) | −5.81085 | + | 27.1882i | −0.322328 | + | 1.50813i | ||||
\(326\) | 11.6883 | + | 9.97844i | 0.647354 | + | 0.552655i | ||||
\(327\) | 8.51311i | 0.470776i | ||||||||
\(328\) | 11.2951 | − | 18.4582i | 0.623665 | − | 1.01918i | ||||
\(329\) | −7.60132 | − | 10.1534i | −0.419074 | − | 0.559773i | ||||
\(330\) | −9.97188 | + | 9.45637i | −0.548934 | + | 0.520556i | ||||
\(331\) | 8.02828 | 0.441274 | 0.220637 | − | 0.975356i | \(-0.429186\pi\) | ||||
0.220637 | + | 0.975356i | \(0.429186\pi\) | |||||||
\(332\) | 1.80659 | + | 11.3751i | 0.0991497 | + | 0.624292i | ||||
\(333\) | 9.74170 | 0.533842 | ||||||||
\(334\) | 5.45087 | + | 4.65349i | 0.298259 | + | 0.254627i | ||||
\(335\) | 2.76622 | − | 26.1778i | 0.151135 | − | 1.43025i | ||||
\(336\) | 7.24939 | − | 10.3030i | 0.395486 | − | 0.562074i | ||||
\(337\) | − | 33.3339i | − | 1.81582i | −0.419170 | − | 0.907908i | \(-0.637679\pi\) | ||
0.419170 | − | 0.907908i | \(-0.362321\pi\) | |||||||
\(338\) | 16.4533 | − | 19.2726i | 0.894942 | − | 1.04829i | ||||
\(339\) | − | 0.100876i | − | 0.00547885i | ||||||
\(340\) | −0.188735 | − | 3.61065i | −0.0102356 | − | 0.195815i | ||||
\(341\) | −17.2785 | −0.935681 | ||||||||
\(342\) | 7.74427 | + | 6.61139i | 0.418762 | + | 0.357503i | ||||
\(343\) | 6.47418 | + | 17.3518i | 0.349573 | + | 0.936909i | ||||
\(344\) | 3.93412 | − | 6.42908i | 0.212113 | − | 0.346633i | ||||
\(345\) | −4.64523 | − | 0.490863i | −0.250091 | − | 0.0264272i | ||||
\(346\) | 3.99213 | + | 3.40814i | 0.214618 | + | 0.183223i | ||||
\(347\) | − | 16.7685i | − | 0.900182i | −0.892983 | − | 0.450091i | \(-0.851392\pi\) | ||
0.892983 | − | 0.450091i | \(-0.148608\pi\) | |||||||
\(348\) | −19.6632 | + | 3.12290i | −1.05406 | + | 0.167405i | ||||
\(349\) | −0.234376 | −0.0125458 | −0.00627292 | − | 0.999980i | \(-0.501997\pi\) | ||||
−0.00627292 | + | 0.999980i | \(0.501997\pi\) | |||||||
\(350\) | 5.07241 | − | 18.0075i | 0.271132 | − | 0.962542i | ||||
\(351\) | − | 30.3350i | − | 1.61916i | ||||||
\(352\) | −7.88290 | + | 19.0882i | −0.420160 | + | 1.01741i | ||||
\(353\) | −14.2235 | −0.757039 | −0.378519 | − | 0.925593i | \(-0.623567\pi\) | ||||
−0.378519 | + | 0.925593i | \(0.623567\pi\) | |||||||
\(354\) | −11.4287 | − | 9.75680i | −0.607426 | − | 0.518568i | ||||
\(355\) | 1.92041 | − | 18.1736i | 0.101925 | − | 0.964556i | ||||
\(356\) | 9.79256 | − | 1.55525i | 0.519004 | − | 0.0824280i | ||||
\(357\) | 2.03831 | − | 1.52598i | 0.107879 | − | 0.0807634i | ||||
\(358\) | −6.67506 | + | 7.81885i | −0.352788 | + | 0.413239i | ||||
\(359\) | − | 14.2398i | − | 0.751549i | −0.926711 | − | 0.375774i | \(-0.877377\pi\) | ||
0.926711 | − | 0.375774i | \(-0.122623\pi\) | |||||||
\(360\) | 7.94329 | + | 6.09413i | 0.418648 | + | 0.321189i | ||||
\(361\) | −1.68839 | −0.0888626 | ||||||||
\(362\) | −16.7431 | + | 19.6121i | −0.879999 | + | 1.03079i | ||||
\(363\) | 2.77140 | 0.145461 | ||||||||
\(364\) | −20.4963 | + | 21.1097i | −1.07430 | + | 1.10645i | ||||
\(365\) | −33.7517 | − | 3.56656i | −1.76665 | − | 0.186682i | ||||
\(366\) | 4.46698 | − | 5.23241i | 0.233493 | − | 0.273503i | ||||
\(367\) | − | 5.09891i | − | 0.266161i | −0.991105 | − | 0.133080i | \(-0.957513\pi\) | ||
0.991105 | − | 0.133080i | \(-0.0424868\pi\) | |||||||
\(368\) | −6.67411 | + | 2.17481i | −0.347912 | + | 0.113370i | ||||
\(369\) | 12.1112i | 0.630485i | ||||||||
\(370\) | −14.1209 | + | 13.3909i | −0.734110 | + | 0.696159i | ||||
\(371\) | 6.33196 | − | 4.74043i | 0.328739 | − | 0.246111i | ||||
\(372\) | −1.76738 | − | 11.1283i | −0.0916346 | − | 0.576973i | ||||
\(373\) | 25.1282 | 1.30109 | 0.650545 | − | 0.759468i | \(-0.274541\pi\) | ||||
0.650545 | + | 0.759468i | \(0.274541\pi\) | |||||||
\(374\) | −2.71019 | + | 3.17459i | −0.140140 | + | 0.164154i | ||||
\(375\) | −12.6506 | − | 4.13393i | −0.653273 | − | 0.213475i | ||||
\(376\) | −7.07731 | + | 11.5656i | −0.364984 | + | 0.596452i | ||||
\(377\) | 46.5004 | 2.39489 | ||||||||
\(378\) | −1.30570 | + | 20.3708i | −0.0671581 | + | 1.04776i | ||||
\(379\) | −5.77914 | −0.296855 | −0.148427 | − | 0.988923i | \(-0.547421\pi\) | ||||
−0.148427 | + | 0.988923i | \(0.547421\pi\) | |||||||
\(380\) | −20.3136 | + | 1.06183i | −1.04206 | + | 0.0544705i | ||||
\(381\) | 7.06428 | 0.361914 | ||||||||
\(382\) | 2.68147 | + | 2.28921i | 0.137196 | + | 0.117126i | ||||
\(383\) | 24.8199i | 1.26824i | 0.773237 | + | 0.634118i | \(0.218636\pi\) | ||||
−0.773237 | + | 0.634118i | \(0.781364\pi\) | |||||||
\(384\) | −13.1002 | − | 3.12451i | −0.668516 | − | 0.159447i | ||||
\(385\) | −18.5543 | + | 11.0555i | −0.945615 | + | 0.563438i | ||||
\(386\) | 15.0784 | + | 12.8726i | 0.767470 | + | 0.655200i | ||||
\(387\) | 4.21839i | 0.214433i | ||||||||
\(388\) | 3.67649 | + | 23.1488i | 0.186645 | + | 1.17520i | ||||
\(389\) | 7.34694i | 0.372505i | 0.982502 | + | 0.186252i | \(0.0596342\pi\) | ||||
−0.982502 | + | 0.186252i | \(0.940366\pi\) | |||||||
\(390\) | 14.4029 | + | 15.1880i | 0.729317 | + | 0.769075i | ||||
\(391\) | −1.41876 | −0.0717499 | ||||||||
\(392\) | 14.6725 | − | 13.2936i | 0.741071 | − | 0.671426i | ||||
\(393\) | 20.5688i | 1.03756i | ||||||||
\(394\) | −7.59399 | + | 8.89524i | −0.382580 | + | 0.448136i | ||||
\(395\) | 0.585816 | − | 5.54380i | 0.0294756 | − | 0.278939i | ||||
\(396\) | −1.81296 | − | 11.4152i | −0.0911045 | − | 0.573636i | ||||
\(397\) | − | 10.0197i | − | 0.502872i | −0.967874 | − | 0.251436i | \(-0.919097\pi\) | ||
0.967874 | − | 0.251436i | \(-0.0809029\pi\) | |||||||
\(398\) | 24.9327 | − | 29.2050i | 1.24976 | − | 1.46391i | ||||
\(399\) | −8.58518 | − | 11.4675i | −0.429796 | − | 0.574095i | ||||
\(400\) | −19.8910 | + | 2.08517i | −0.994550 | + | 0.104259i | ||||
\(401\) | 11.7525 | 0.586893 | 0.293447 | − | 0.955975i | \(-0.405198\pi\) | ||||
0.293447 | + | 0.955975i | \(0.405198\pi\) | |||||||
\(402\) | −15.0725 | − | 12.8676i | −0.751748 | − | 0.641778i | ||||
\(403\) | 26.3166i | 1.31092i | ||||||||
\(404\) | 2.22959 | + | 14.0385i | 0.110926 | + | 0.698443i | ||||
\(405\) | 3.88072 | + | 0.410077i | 0.192834 | + | 0.0203769i | ||||
\(406\) | −31.2264 | − | 2.00150i | −1.54974 | − | 0.0993330i | ||||
\(407\) | 22.4668 | 1.11364 | ||||||||
\(408\) | −2.32182 | − | 1.42078i | −0.114947 | − | 0.0703393i | ||||
\(409\) | 4.67758i | 0.231292i | 0.993291 | + | 0.115646i | \(0.0368938\pi\) | ||||
−0.993291 | + | 0.115646i | \(0.963106\pi\) | |||||||
\(410\) | −16.6480 | − | 17.5556i | −0.822187 | − | 0.867008i | ||||
\(411\) | 7.85562i | 0.387489i | ||||||||
\(412\) | 10.0103 | − | 1.58983i | 0.493173 | − | 0.0783254i | ||||
\(413\) | −14.1537 | − | 18.9056i | −0.696457 | − | 0.930282i | ||||
\(414\) | 2.55080 | − | 2.98789i | 0.125365 | − | 0.146847i | ||||
\(415\) | 12.8059 | + | 1.35320i | 0.628616 | + | 0.0664261i | ||||
\(416\) | 29.0730 | + | 12.0063i | 1.42542 | + | 0.588659i | ||||
\(417\) | − | 7.58921i | − | 0.371645i | ||||||
\(418\) | 17.8603 | + | 15.2475i | 0.873574 | + | 0.745782i | ||||
\(419\) | 21.7400i | 1.06207i | 0.847351 | + | 0.531034i | \(0.178196\pi\) | ||||
−0.847351 | + | 0.531034i | \(0.821804\pi\) | |||||||
\(420\) | −9.01820 | − | 10.8191i | −0.440043 | − | 0.527919i | ||||
\(421\) | − | 9.76923i | − | 0.476123i | −0.971250 | − | 0.238062i | \(-0.923488\pi\) | ||
0.971250 | − | 0.238062i | \(-0.0765120\pi\) | |||||||
\(422\) | −18.4732 | + | 21.6387i | −0.899263 | + | 1.05335i | ||||
\(423\) | − | 7.58871i | − | 0.368976i | ||||||
\(424\) | −7.21270 | − | 4.41364i | −0.350280 | − | 0.214345i | ||||
\(425\) | −3.95306 | − | 0.844877i | −0.191752 | − | 0.0409826i | ||||
\(426\) | −10.4639 | − | 8.93318i | −0.506978 | − | 0.432814i | ||||
\(427\) | 8.65559 | − | 6.48001i | 0.418873 | − | 0.313590i | ||||
\(428\) | 21.4651 | − | 3.40907i | 1.03755 | − | 0.164783i | ||||
\(429\) | − | 24.1647i | − | 1.16668i | ||||||
\(430\) | −5.79858 | − | 6.11469i | −0.279632 | − | 0.294876i | ||||
\(431\) | − | 2.12901i | − | 0.102551i | −0.998685 | − | 0.0512753i | \(-0.983671\pi\) | ||
0.998685 | − | 0.0512753i | \(-0.0163286\pi\) | |||||||
\(432\) | 20.7483 | − | 6.76099i | 0.998251 | − | 0.325288i | ||||
\(433\) | −1.12265 | −0.0539513 | −0.0269756 | − | 0.999636i | \(-0.508588\pi\) | ||||
−0.0269756 | + | 0.999636i | \(0.508588\pi\) | |||||||
\(434\) | 1.13274 | − | 17.6723i | 0.0543731 | − | 0.848299i | ||||
\(435\) | −2.33917 | + | 22.1364i | −0.112154 | + | 1.06136i | ||||
\(436\) | 14.1261 | − | 2.24350i | 0.676518 | − | 0.107444i | ||||
\(437\) | 7.98197i | 0.381829i | ||||||||
\(438\) | −16.5905 | + | 19.4334i | −0.792726 | + | 0.928562i | ||||
\(439\) | −17.9973 | −0.858964 | −0.429482 | − | 0.903075i | \(-0.641304\pi\) | ||||
−0.429482 | + | 0.903075i | \(0.641304\pi\) | |||||||
\(440\) | 18.3192 | + | 14.0546i | 0.873335 | + | 0.670027i | ||||
\(441\) | −3.12104 | + | 10.6323i | −0.148621 | + | 0.506301i | ||||
\(442\) | 4.83516 | + | 4.12785i | 0.229985 | + | 0.196342i | ||||
\(443\) | − | 10.1199i | − | 0.480810i | −0.970673 | − | 0.240405i | \(-0.922720\pi\) | ||
0.970673 | − | 0.240405i | \(-0.0772803\pi\) | |||||||
\(444\) | 2.29809 | + | 14.4698i | 0.109063 | + | 0.686708i | ||||
\(445\) | 1.16494 | − | 11.0243i | 0.0552233 | − | 0.522600i | ||||
\(446\) | −16.9211 | − | 14.4457i | −0.801235 | − | 0.684026i | ||||
\(447\) | − | 20.2521i | − | 0.957891i | ||||||
\(448\) | −19.0066 | − | 9.31397i | −0.897976 | − | 0.440044i | ||||
\(449\) | 0.750627 | 0.0354243 | 0.0177121 | − | 0.999843i | \(-0.494362\pi\) | ||||
0.0177121 | + | 0.999843i | \(0.494362\pi\) | |||||||
\(450\) | 8.88653 | − | 6.80607i | 0.418915 | − | 0.320841i | ||||
\(451\) | 27.9315i | 1.31524i | ||||||||
\(452\) | −0.167388 | + | 0.0265844i | −0.00787325 | + | 0.00125043i | ||||
\(453\) | − | 17.6079i | − | 0.827291i | ||||||
\(454\) | 16.0922 | − | 18.8496i | 0.755244 | − | 0.884657i | ||||
\(455\) | 16.8384 | + | 28.2598i | 0.789397 | + | 1.32484i | ||||
\(456\) | −7.99334 | + | 13.0626i | −0.374323 | + | 0.611713i | ||||
\(457\) | 20.4998i | 0.958941i | 0.877558 | + | 0.479471i | \(0.159171\pi\) | ||||
−0.877558 | + | 0.479471i | \(0.840829\pi\) | |||||||
\(458\) | −15.2177 | + | 17.8253i | −0.711077 | + | 0.832922i | ||||
\(459\) | 4.41060 | 0.205869 | ||||||||
\(460\) | 0.409672 | + | 7.83735i | 0.0191011 | + | 0.365418i | ||||
\(461\) | −14.9599 | −0.696752 | −0.348376 | − | 0.937355i | \(-0.613267\pi\) | ||||
−0.348376 | + | 0.937355i | \(0.613267\pi\) | |||||||
\(462\) | −1.04011 | + | 16.2273i | −0.0483904 | + | 0.754961i | ||||
\(463\) | −23.1072 | −1.07388 | −0.536941 | − | 0.843619i | \(-0.680420\pi\) | ||||
−0.536941 | + | 0.843619i | \(0.680420\pi\) | |||||||
\(464\) | 10.3639 | + | 31.8049i | 0.481131 | + | 1.47651i | ||||
\(465\) | −12.5280 | − | 1.32383i | −0.580970 | − | 0.0613913i | ||||
\(466\) | −15.1695 | − | 12.9504i | −0.702715 | − | 0.599918i | ||||
\(467\) | 22.3760 | 1.03544 | 0.517720 | − | 0.855550i | \(-0.326781\pi\) | ||||
0.517720 | + | 0.855550i | \(0.326781\pi\) | |||||||
\(468\) | −17.3863 | + | 2.76129i | −0.803684 | + | 0.127641i | ||||
\(469\) | −18.6663 | − | 24.9333i | −0.861932 | − | 1.15131i | ||||
\(470\) | 10.4314 | + | 11.0001i | 0.481165 | + | 0.507395i | ||||
\(471\) | 19.8487i | 0.914580i | ||||||||
\(472\) | −13.1780 | + | 21.5352i | −0.606565 | + | 0.991239i | ||||
\(473\) | 9.72868i | 0.447325i | ||||||||
\(474\) | −3.19198 | − | 2.72503i | −0.146612 | − | 0.125165i | ||||
\(475\) | −4.75329 | + | 22.2400i | −0.218096 | + | 1.02044i | ||||
\(476\) | −3.06928 | − | 2.98009i | −0.140680 | − | 0.136592i | ||||
\(477\) | 4.73256 | 0.216689 | ||||||||
\(478\) | −24.4388 | − | 20.8638i | −1.11781 | − | 0.954287i | ||||
\(479\) | 32.6071 | 1.48986 | 0.744928 | − | 0.667145i | \(-0.232484\pi\) | ||||
0.744928 | + | 0.667145i | \(0.232484\pi\) | |||||||
\(480\) | −7.17808 | + | 13.2362i | −0.327633 | + | 0.604147i | ||||
\(481\) | − | 34.2189i | − | 1.56025i | ||||||
\(482\) | −16.1568 | − | 13.7933i | −0.735924 | − | 0.628268i | ||||
\(483\) | −4.42439 | + | 3.31232i | −0.201317 | + | 0.150716i | ||||
\(484\) | −0.730361 | − | 4.59869i | −0.0331982 | − | 0.209031i | ||||
\(485\) | 26.0605 | + | 2.75382i | 1.18335 | + | 0.125045i | ||||
\(486\) | −13.1207 | + | 15.3690i | −0.595167 | + | 0.697150i | ||||
\(487\) | 3.90400 | 0.176907 | 0.0884536 | − | 0.996080i | \(-0.471808\pi\) | ||||
0.0884536 | + | 0.996080i | \(0.471808\pi\) | |||||||
\(488\) | −9.85953 | − | 6.03330i | −0.446320 | − | 0.273115i | ||||
\(489\) | − | 12.9359i | − | 0.584983i | ||||||
\(490\) | −10.0911 | − | 19.7020i | −0.455869 | − | 0.890047i | ||||
\(491\) | −20.5527 | −0.927532 | −0.463766 | − | 0.885958i | \(-0.653502\pi\) | ||||
−0.463766 | + | 0.885958i | \(0.653502\pi\) | |||||||
\(492\) | −17.9894 | + | 2.85707i | −0.811025 | + | 0.128806i | ||||
\(493\) | 6.76099i | 0.304500i | ||||||||
\(494\) | 23.2233 | − | 27.2027i | 1.04487 | − | 1.22391i | ||||
\(495\) | −12.8510 | − | 1.35797i | −0.577610 | − | 0.0610362i | ||||
\(496\) | −17.9997 | + | 5.86536i | −0.808213 | + | 0.263363i | ||||
\(497\) | −12.9589 | − | 17.3096i | −0.581285 | − | 0.776444i | ||||
\(498\) | 6.29468 | − | 7.37329i | 0.282072 | − | 0.330405i | ||||
\(499\) | −25.8654 | −1.15789 | −0.578947 | − | 0.815365i | \(-0.696536\pi\) | ||||
−0.578947 | + | 0.815365i | \(0.696536\pi\) | |||||||
\(500\) | −3.52571 | + | 22.0810i | −0.157674 | + | 0.987491i | ||||
\(501\) | − | 6.03272i | − | 0.269522i | ||||||
\(502\) | 16.6199 | + | 14.1886i | 0.741783 | + | 0.633270i | ||||
\(503\) | − | 31.0150i | − | 1.38289i | −0.722428 | − | 0.691446i | \(-0.756974\pi\) | ||
0.722428 | − | 0.691446i | \(-0.243026\pi\) | |||||||
\(504\) | 11.7943 | − | 1.10593i | 0.525359 | − | 0.0492620i | ||||
\(505\) | 15.8043 | + | 1.67004i | 0.703281 | + | 0.0743160i | ||||
\(506\) | 5.88279 | − | 6.89082i | 0.261522 | − | 0.306334i | ||||
\(507\) | −21.3299 | −0.947293 | ||||||||
\(508\) | −1.86168 | − | 11.7220i | −0.0825988 | − | 0.520080i | ||||
\(509\) | −14.2066 | −0.629695 | −0.314847 | − | 0.949142i | \(-0.601953\pi\) | ||||
−0.314847 | + | 0.949142i | \(0.601953\pi\) | |||||||
\(510\) | −2.20828 | + | 2.09412i | −0.0977844 | + | 0.0927293i | ||||
\(511\) | −32.1471 | + | 24.0670i | −1.42211 | + | 1.06466i | ||||
\(512\) | −1.73225 | + | 22.5610i | −0.0765556 | + | 0.997065i | ||||
\(513\) | − | 24.8141i | − | 1.09557i | ||||||
\(514\) | 18.3604 | − | 21.5065i | 0.809842 | − | 0.948611i | ||||
\(515\) | 1.19084 | − | 11.2694i | 0.0524747 | − | 0.496589i | ||||
\(516\) | −6.26579 | + | 0.995129i | −0.275836 | + | 0.0438081i | ||||
\(517\) | − | 17.5015i | − | 0.769714i | ||||||
\(518\) | −1.47287 | + | 22.9790i | −0.0647144 | + | 1.00964i | ||||
\(519\) | − | 4.41827i | − | 0.193940i | ||||||
\(520\) | 21.4064 | − | 27.9017i | 0.938732 | − | 1.22357i | ||||
\(521\) | − | 37.9559i | − | 1.66288i | −0.555617 | − | 0.831438i | \(-0.687518\pi\) | ||
0.555617 | − | 0.831438i | \(-0.312482\pi\) | |||||||
\(522\) | −14.2385 | − | 12.1556i | −0.623203 | − | 0.532037i | ||||
\(523\) | 20.8846 | 0.913219 | 0.456609 | − | 0.889667i | \(-0.349064\pi\) | ||||
0.456609 | + | 0.889667i | \(0.349064\pi\) | |||||||
\(524\) | 34.1305 | − | 5.42059i | 1.49100 | − | 0.236800i | ||||
\(525\) | −14.3001 | + | 6.59431i | −0.624106 | + | 0.287799i | ||||
\(526\) | −2.85560 | + | 3.34492i | −0.124510 | + | 0.145845i | ||||
\(527\) | −3.82633 | −0.166678 | ||||||||
\(528\) | 16.5279 | − | 5.38575i | 0.719285 | − | 0.234385i | ||||
\(529\) | −19.9204 | −0.866105 | ||||||||
\(530\) | −6.85999 | + | 6.50536i | −0.297979 | + | 0.282575i | ||||
\(531\) | − | 14.1302i | − | 0.613198i | ||||||
\(532\) | −16.7660 | + | 17.2678i | −0.726898 | + | 0.748653i | ||||
\(533\) | 42.5421 | 1.84270 | ||||||||
\(534\) | −6.34747 | − | 5.41893i | −0.274682 | − | 0.234500i | ||||
\(535\) | 2.55351 | − | 24.1649i | 0.110398 | − | 1.04474i | ||||
\(536\) | −17.3795 | + | 28.4014i | −0.750682 | + | 1.22675i | ||||
\(537\) | 8.65347 | 0.373425 | ||||||||
\(538\) | −10.3008 | + | 12.0659i | −0.444099 | + | 0.520196i | ||||
\(539\) | −7.19790 | + | 24.5208i | −0.310036 | + | 1.05619i | ||||
\(540\) | −1.27358 | − | 24.3645i | −0.0548060 | − | 1.04848i | ||||
\(541\) | − | 1.19268i | − | 0.0512773i | −0.999671 | − | 0.0256387i | \(-0.991838\pi\) | ||
0.999671 | − | 0.0256387i | \(-0.00816194\pi\) | |||||||
\(542\) | −6.06428 | + | 7.10341i | −0.260483 | + | 0.305118i | ||||
\(543\) | 21.7056 | 0.931476 | ||||||||
\(544\) | −1.74568 | + | 4.22711i | −0.0748452 | + | 0.181236i | ||||
\(545\) | 1.68046 | − | 15.9029i | 0.0719831 | − | 0.681204i | ||||
\(546\) | 24.7155 | + | 1.58418i | 1.05773 | + | 0.0677967i | ||||
\(547\) | − | 15.5500i | − | 0.664872i | −0.943126 | − | 0.332436i | \(-0.892129\pi\) | ||
0.943126 | − | 0.332436i | \(-0.107871\pi\) | |||||||
\(548\) | 13.0351 | − | 2.07023i | 0.556833 | − | 0.0884358i | ||||
\(549\) | 6.46926 | 0.276101 | ||||||||
\(550\) | 20.4946 | − | 15.6965i | 0.873892 | − | 0.669301i | ||||
\(551\) | 38.0374 | 1.62045 | ||||||||
\(552\) | 5.03980 | + | 3.08398i | 0.214508 | + | 0.131263i | ||||
\(553\) | −3.95306 | − | 5.28025i | −0.168101 | − | 0.224539i | ||||
\(554\) | 14.7563 | − | 17.2849i | 0.626936 | − | 0.734364i | ||||
\(555\) | 16.2898 | + | 1.72135i | 0.691465 | + | 0.0730674i | ||||
\(556\) | −12.5930 | + | 2.00002i | −0.534064 | + | 0.0848197i | ||||
\(557\) | 31.9739 | 1.35478 | 0.677390 | − | 0.735624i | \(-0.263111\pi\) | ||||
0.677390 | + | 0.735624i | \(0.263111\pi\) | |||||||
\(558\) | 6.87939 | − | 8.05819i | 0.291228 | − | 0.341130i | ||||
\(559\) | 14.8176 | 0.626718 | ||||||||
\(560\) | −15.5760 | + | 17.8154i | −0.658204 | + | 0.752839i | ||||
\(561\) | 3.51345 | 0.148338 | ||||||||
\(562\) | −19.4243 | + | 22.7527i | −0.819363 | + | 0.959763i | ||||
\(563\) | −6.48451 | −0.273290 | −0.136645 | − | 0.990620i | \(-0.543632\pi\) | ||||
−0.136645 | + | 0.990620i | \(0.543632\pi\) | |||||||
\(564\) | 11.2719 | − | 1.79019i | 0.474632 | − | 0.0753808i | ||||
\(565\) | −0.0199127 | + | 0.188441i | −0.000837733 | + | 0.00792779i | ||||
\(566\) | 22.7015 | − | 26.5915i | 0.954217 | − | 1.11772i | ||||
\(567\) | 3.69622 | − | 2.76718i | 0.155227 | − | 0.116211i | ||||
\(568\) | −12.0655 | + | 19.7173i | −0.506259 | + | 0.827321i | ||||
\(569\) | 36.4610 | 1.52853 | 0.764263 | − | 0.644905i | \(-0.223103\pi\) | ||||
0.764263 | + | 0.644905i | \(0.223103\pi\) | |||||||
\(570\) | 11.7816 | + | 12.4238i | 0.493475 | + | 0.520377i | ||||
\(571\) | 24.9527 | 1.04424 | 0.522119 | − | 0.852872i | \(-0.325142\pi\) | ||||
0.522119 | + | 0.852872i | \(0.325142\pi\) | |||||||
\(572\) | −40.0973 | + | 6.36823i | −1.67655 | + | 0.266269i | ||||
\(573\) | − | 2.96770i | − | 0.123978i | ||||||
\(574\) | −28.5682 | − | 1.83113i | −1.19241 | − | 0.0764298i | ||||
\(575\) | 8.58060 | + | 1.83391i | 0.357836 | + | 0.0764792i | ||||
\(576\) | −5.76366 | − | 11.2763i | −0.240152 | − | 0.469846i | ||||
\(577\) | 21.7435 | 0.905192 | 0.452596 | − | 0.891716i | \(-0.350498\pi\) | ||||
0.452596 | + | 0.891716i | \(0.350498\pi\) | |||||||
\(578\) | 15.0097 | − | 17.5817i | 0.624323 | − | 0.731302i | ||||
\(579\) | − | 16.6879i | − | 0.693526i | ||||||
\(580\) | 37.3482 | − | 1.95226i | 1.55080 | − | 0.0810631i | ||||
\(581\) | 12.1971 | − | 9.13136i | 0.506020 | − | 0.378833i | ||||
\(582\) | 12.8099 | − | 15.0049i | 0.530988 | − | 0.621975i | ||||
\(583\) | 10.9145 | 0.452032 | ||||||||
\(584\) | 36.6186 | + | 22.4079i | 1.51529 | + | 0.927245i | ||||
\(585\) | −2.06830 | + | 19.5732i | −0.0855139 | + | 0.809251i | ||||
\(586\) | −12.2627 | − | 10.4688i | −0.506568 | − | 0.432464i | ||||
\(587\) | 24.7885 | 1.02313 | 0.511565 | − | 0.859245i | \(-0.329066\pi\) | ||||
0.511565 | + | 0.859245i | \(0.329066\pi\) | |||||||
\(588\) | −16.5290 | − | 2.12764i | −0.681644 | − | 0.0877426i | ||||
\(589\) | 21.5270i | 0.887004i | ||||||||
\(590\) | 19.4233 | + | 20.4821i | 0.799644 | + | 0.843236i | ||||
\(591\) | 9.84476 | 0.404959 | ||||||||
\(592\) | 23.4047 | − | 7.62661i | 0.961927 | − | 0.313452i | ||||
\(593\) | −41.5751 | −1.70728 | −0.853642 | − | 0.520860i | \(-0.825611\pi\) | ||||
−0.853642 | + | 0.520860i | \(0.825611\pi\) | |||||||
\(594\) | −18.2882 | + | 21.4220i | −0.750376 | + | 0.878955i | ||||
\(595\) | −4.10887 | + | 2.44824i | −0.168447 | + | 0.100368i | ||||
\(596\) | −33.6050 | + | 5.33713i | −1.37651 | + | 0.218617i | ||||
\(597\) | −32.3224 | −1.32287 | ||||||||
\(598\) | −10.4953 | − | 8.95999i | −0.429185 | − | 0.366401i | ||||
\(599\) | 38.2863i | 1.56434i | 0.623068 | + | 0.782168i | \(0.285886\pi\) | ||||
−0.623068 | + | 0.782168i | \(0.714114\pi\) | |||||||
\(600\) | 12.2057 | + | 11.5940i | 0.498297 | + | 0.473325i | ||||
\(601\) | 22.8512i | 0.932121i | 0.884753 | + | 0.466060i | \(0.154327\pi\) | ||||
−0.884753 | + | 0.466060i | \(0.845673\pi\) | |||||||
\(602\) | −9.95044 | − | 0.637790i | −0.405550 | − | 0.0259944i | ||||
\(603\) | − | 18.6354i | − | 0.758891i | ||||||
\(604\) | −29.2174 | + | 4.64029i | −1.18884 | + | 0.188811i | ||||
\(605\) | −5.17710 | − | 0.547067i | −0.210479 | − | 0.0222414i | ||||
\(606\) | 7.76853 | − | 9.09969i | 0.315575 | − | 0.369650i | ||||
\(607\) | − | 3.04718i | − | 0.123681i | −0.998086 | − | 0.0618407i | \(-0.980303\pi\) | ||
0.998086 | − | 0.0618407i | \(-0.0196971\pi\) | |||||||
\(608\) | 23.7818 | + | 9.82119i | 0.964478 | + | 0.398302i | ||||
\(609\) | 15.7846 | + | 21.0841i | 0.639624 | + | 0.854369i | ||||
\(610\) | −9.37739 | + | 8.89261i | −0.379679 | + | 0.360051i | ||||
\(611\) | −26.6562 | −1.07840 | ||||||||
\(612\) | −0.401481 | − | 2.52791i | −0.0162289 | − | 0.102185i | ||||
\(613\) | −36.3023 | −1.46624 | −0.733118 | − | 0.680101i | \(-0.761936\pi\) | ||||
−0.733118 | + | 0.680101i | \(0.761936\pi\) | |||||||
\(614\) | 0.391674 | − | 0.458789i | 0.0158067 | − | 0.0185152i | ||||
\(615\) | −2.14005 | + | 20.2521i | −0.0862950 | + | 0.816643i | ||||
\(616\) | 27.2006 | − | 2.55055i | 1.09594 | − | 0.102765i | ||||
\(617\) | − | 15.0501i | − | 0.605894i | −0.953007 | − | 0.302947i | \(-0.902029\pi\) | ||
0.953007 | − | 0.302947i | \(-0.0979705\pi\) | |||||||
\(618\) | −6.48862 | − | 5.53943i | −0.261011 | − | 0.222828i | ||||
\(619\) | 1.73303i | 0.0696563i | 0.999393 | + | 0.0348281i | \(0.0110884\pi\) | ||||
−0.999393 | + | 0.0348281i | \(0.988912\pi\) | |||||||
\(620\) | 1.10487 | + | 21.1370i | 0.0443725 | + | 0.848881i | ||||
\(621\) | −9.57375 | −0.384181 | ||||||||
\(622\) | −0.538921 | + | 0.631267i | −0.0216088 | + | 0.0253115i | ||||
\(623\) | −7.86095 | − | 10.5002i | −0.314942 | − | 0.420680i | ||||
\(624\) | −8.20296 | − | 25.1734i | −0.328381 | − | 1.00774i | ||||
\(625\) | 22.8158 | + | 10.2195i | 0.912632 | + | 0.408782i | ||||
\(626\) | −5.92904 | + | 6.94500i | −0.236972 | + | 0.277578i | ||||
\(627\) | − | 19.7667i | − | 0.789407i | ||||||
\(628\) | 32.9357 | − | 5.23082i | 1.31428 | − | 0.208733i | ||||
\(629\) | 4.97530 | 0.198378 | ||||||||
\(630\) | 2.23141 | − | 13.0549i | 0.0889014 | − | 0.520120i | ||||
\(631\) | 19.5984i | 0.780202i | 0.920772 | + | 0.390101i | \(0.127560\pi\) | ||||
−0.920772 | + | 0.390101i | \(0.872440\pi\) | |||||||
\(632\) | −3.68055 | + | 6.01470i | −0.146404 | + | 0.239252i | ||||
\(633\) | 23.9485 | 0.951866 | ||||||||
\(634\) | 9.46563 | − | 11.0876i | 0.375928 | − | 0.440344i | ||||
\(635\) | −13.1964 | − | 1.39447i | −0.523682 | − | 0.0553377i | ||||
\(636\) | 1.11642 | + | 7.02951i | 0.0442690 | + | 0.278738i | ||||
\(637\) | 37.3473 | + | 10.9630i | 1.47975 | + | 0.434371i | ||||
\(638\) | −32.8376 | − | 28.0339i | −1.30005 | − | 1.10987i | ||||
\(639\) | − | 12.9374i | − | 0.511795i | ||||||
\(640\) | 23.8550 | + | 8.42266i | 0.942950 | + | 0.332935i | ||||
\(641\) | 5.76448 | 0.227683 | 0.113842 | − | 0.993499i | \(-0.463684\pi\) | ||||
0.113842 | + | 0.993499i | \(0.463684\pi\) | |||||||
\(642\) | −13.9135 | − | 11.8782i | −0.549123 | − | 0.468794i | ||||
\(643\) | 12.8313 | 0.506017 | 0.253009 | − | 0.967464i | \(-0.418580\pi\) | ||||
0.253009 | + | 0.967464i | \(0.418580\pi\) | |||||||
\(644\) | 6.66224 | + | 6.46864i | 0.262529 | + | 0.254900i | ||||
\(645\) | −0.745388 | + | 7.05389i | −0.0293496 | + | 0.277747i | ||||
\(646\) | 3.95517 | + | 3.37658i | 0.155614 | + | 0.132850i | ||||
\(647\) | − | 1.42452i | − | 0.0560037i | −0.999608 | − | 0.0280018i | \(-0.991086\pi\) | ||
0.999608 | − | 0.0280018i | \(-0.00891443\pi\) | |||||||
\(648\) | −4.21035 | − | 2.57642i | −0.165398 | − | 0.101211i | ||||
\(649\) | − | 32.5878i | − | 1.27918i | ||||||
\(650\) | −23.9071 | − | 31.2150i | −0.937714 | − | 1.22435i | ||||
\(651\) | −11.9324 | + | 8.93318i | −0.467666 | + | 0.350119i | ||||
\(652\) | −21.4651 | + | 3.40907i | −0.840636 | + | 0.133509i | ||||
\(653\) | −29.1628 | −1.14123 | −0.570615 | − | 0.821218i | \(-0.693295\pi\) | ||||
−0.570615 | + | 0.821218i | \(0.693295\pi\) | |||||||
\(654\) | −9.15646 | − | 7.81699i | −0.358046 | − | 0.305669i | ||||
\(655\) | 4.06022 | − | 38.4234i | 0.158646 | − | 1.50133i | ||||
\(656\) | 9.48166 | + | 29.0975i | 0.370197 | + | 1.13607i | ||||
\(657\) | −24.0270 | −0.937384 | ||||||||
\(658\) | 17.9004 | + | 1.14736i | 0.697831 | + | 0.0447286i | ||||
\(659\) | −7.06968 | −0.275396 | −0.137698 | − | 0.990474i | \(-0.543970\pi\) | ||||
−0.137698 | + | 0.990474i | \(0.543970\pi\) | |||||||
\(660\) | −1.01452 | − | 19.4086i | −0.0394902 | − | 0.755478i | ||||
\(661\) | 3.04463 | 0.118423 | 0.0592113 | − | 0.998245i | \(-0.481141\pi\) | ||||
0.0592113 | + | 0.998245i | \(0.481141\pi\) | |||||||
\(662\) | −7.37181 | + | 8.63498i | −0.286513 | + | 0.335608i | ||||
\(663\) | − | 5.35129i | − | 0.207827i | ||||||
\(664\) | −13.8936 | − | 8.50188i | −0.539178 | − | 0.329937i | ||||
\(665\) | 13.7738 | + | 23.1166i | 0.534127 | + | 0.896421i | ||||
\(666\) | −8.94512 | + | 10.4779i | −0.346616 | + | 0.406010i | ||||
\(667\) | − | 14.6755i | − | 0.568239i | ||||||
\(668\) | −10.0103 | + | 1.58983i | −0.387311 | + | 0.0615124i | ||||
\(669\) | 18.7273i | 0.724038i | ||||||||
\(670\) | 25.6161 | + | 27.0125i | 0.989636 | + | 1.04359i | ||||
\(671\) | 14.9197 | 0.575970 | ||||||||
\(672\) | 4.42499 | + | 17.2577i | 0.170698 | + | 0.665732i | ||||
\(673\) | 45.1287i | 1.73958i | 0.493420 | + | 0.869791i | \(0.335747\pi\) | ||||
−0.493420 | + | 0.869791i | \(0.664253\pi\) | |||||||
\(674\) | 35.8530 | + | 30.6082i | 1.38101 | + | 1.17898i | ||||
\(675\) | −26.6751 | − | 5.70120i | −1.02673 | − | 0.219439i | ||||
\(676\) | 5.62116 | + | 35.3934i | 0.216199 | + | 1.36129i | ||||
\(677\) | − | 3.41915i | − | 0.131408i | −0.997839 | − | 0.0657042i | \(-0.979071\pi\) | ||
0.997839 | − | 0.0657042i | \(-0.0209294\pi\) | |||||||
\(678\) | 0.108500 | + | 0.0926277i | 0.00416690 | + | 0.00355734i | ||||
\(679\) | 24.8215 | − | 18.5827i | 0.952563 | − | 0.713138i | ||||
\(680\) | 4.05681 | + | 3.11241i | 0.155572 | + | 0.119355i | ||||
\(681\) | −20.8617 | −0.799423 | ||||||||
\(682\) | 15.8656 | − | 18.5842i | 0.607526 | − | 0.711627i | ||||
\(683\) | 52.1925i | 1.99709i | 0.0539068 | + | 0.998546i | \(0.482833\pi\) | ||||
−0.0539068 | + | 0.998546i | \(0.517167\pi\) | |||||||
\(684\) | −14.2221 | + | 2.25874i | −0.543794 | + | 0.0863650i | ||||
\(685\) | 1.55068 | − | 14.6747i | 0.0592483 | − | 0.560690i | ||||
\(686\) | −24.6079 | − | 8.96951i | −0.939533 | − | 0.342457i | ||||
\(687\) | 19.7281 | 0.752673 | ||||||||
\(688\) | 3.30251 | + | 10.1348i | 0.125907 | + | 0.386386i | ||||
\(689\) | − | 16.6237i | − | 0.633312i | ||||||
\(690\) | 4.79335 | − | 4.54555i | 0.182480 | − | 0.173046i | ||||
\(691\) | − | 22.1744i | − | 0.843554i | −0.906700 | − | 0.421777i | \(-0.861406\pi\) | ||
0.906700 | − | 0.421777i | \(-0.138594\pi\) | |||||||
\(692\) | −7.33139 | + | 1.16437i | −0.278698 | + | 0.0442626i | ||||
\(693\) | −12.2401 | + | 9.16353i | −0.464961 | + | 0.348094i | ||||
\(694\) | 18.0357 | + | 15.3974i | 0.684628 | + | 0.584476i | ||||
\(695\) | −1.49809 | + | 14.1770i | −0.0568256 | + | 0.537763i | ||||
\(696\) | 14.6965 | − | 24.0167i | 0.557068 | − | 0.910352i | ||||
\(697\) | 6.18546i | 0.234291i | ||||||||
\(698\) | 0.215211 | − | 0.252088i | 0.00814585 | − | 0.00954166i | ||||
\(699\) | 16.7888i | 0.635011i | ||||||||
\(700\) | 14.7107 | + | 21.9908i | 0.556013 | + | 0.831173i | ||||
\(701\) | 17.3192i | 0.654138i | 0.945001 | + | 0.327069i | \(0.106061\pi\) | ||||
−0.945001 | + | 0.327069i | \(0.893939\pi\) | |||||||
\(702\) | 32.6275 | + | 27.8546i | 1.23145 | + | 1.05130i | ||||
\(703\) | − | 27.9911i | − | 1.05570i | ||||||
\(704\) | −13.2925 | − | 26.0060i | −0.500978 | − | 0.980139i | ||||
\(705\) | 1.34092 | − | 12.6897i | 0.0505020 | − | 0.477920i | ||||
\(706\) | 13.0604 | − | 15.2983i | 0.491535 | − | 0.575761i | ||||
\(707\) | 15.0529 | − | 11.2694i | 0.566124 | − | 0.423829i | ||||
\(708\) | 20.9883 | − | 3.33334i | 0.788788 | − | 0.125275i | ||||
\(709\) | − | 3.57195i | − | 0.134147i | −0.997748 | − | 0.0670737i | \(-0.978634\pi\) | ||
0.997748 | − | 0.0670737i | \(-0.0213663\pi\) | |||||||
\(710\) | 17.7837 | + | 18.7531i | 0.667409 | + | 0.703792i | ||||
\(711\) | − | 3.94650i | − | 0.148005i | ||||||
\(712\) | −7.31904 | + | 11.9607i | −0.274293 | + | 0.448245i | ||||
\(713\) | 8.30552 | 0.311044 | ||||||||
\(714\) | −0.230334 | + | 3.59354i | −0.00862004 | + | 0.134485i | ||||
\(715\) | −4.77003 | + | 45.1407i | −0.178389 | + | 1.68817i | ||||
\(716\) | −2.28049 | − | 14.3590i | −0.0852259 | − | 0.536621i | ||||
\(717\) | 27.0475i | 1.01011i | ||||||||
\(718\) | 15.3159 | + | 13.0754i | 0.571586 | + | 0.487971i | ||||
\(719\) | 1.20606 | 0.0449783 | 0.0224891 | − | 0.999747i | \(-0.492841\pi\) | ||||
0.0224891 | + | 0.999747i | \(0.492841\pi\) | |||||||
\(720\) | −13.8484 | + | 2.94776i | −0.516101 | + | 0.109856i | ||||
\(721\) | −8.03575 | − | 10.7336i | −0.299267 | − | 0.399742i | ||||
\(722\) | 1.55033 | − | 1.81598i | 0.0576973 | − | 0.0675839i | ||||
\(723\) | 17.8815i | 0.665020i | ||||||||
\(724\) | −5.72017 | − | 36.0168i | −0.212589 | − | 1.33856i | ||||
\(725\) | 8.73933 | − | 40.8901i | 0.324571 | − | 1.51862i | ||||
\(726\) | −2.54479 | + | 2.98084i | −0.0944458 | + | 0.110629i | ||||
\(727\) | 28.9323i | 1.07304i | 0.843888 | + | 0.536520i | \(0.180261\pi\) | ||||
−0.843888 | + | 0.536520i | \(0.819739\pi\) | |||||||
\(728\) | −3.88471 | − | 41.4288i | −0.143977 | − | 1.53545i | ||||
\(729\) | 22.2450 | 0.823890 | ||||||||
\(730\) | 34.8279 | − | 33.0275i | 1.28904 | − | 1.22240i | ||||
\(731\) | 2.15443i | 0.0796843i | ||||||||
\(732\) | 1.52611 | + | 9.60912i | 0.0564068 | + | 0.355163i | ||||
\(733\) | − | 11.5527i | − | 0.426710i | −0.976975 | − | 0.213355i | \(-0.931561\pi\) | ||
0.976975 | − | 0.213355i | \(-0.0684391\pi\) | |||||||
\(734\) | 5.48424 | + | 4.68197i | 0.202427 | + | 0.172815i | ||||
\(735\) | −7.09765 | + | 17.2276i | −0.261801 | + | 0.635450i | ||||
\(736\) | 3.78920 | − | 9.17546i | 0.139672 | − | 0.338212i | ||||
\(737\) | − | 42.9779i | − | 1.58311i | ||||||
\(738\) | −13.0265 | − | 11.1209i | −0.479511 | − | 0.409365i | ||||
\(739\) | −11.3868 | −0.418869 | −0.209434 | − | 0.977823i | \(-0.567162\pi\) | ||||
−0.209434 | + | 0.977823i | \(0.567162\pi\) | |||||||
\(740\) | −1.43663 | − | 27.4839i | −0.0528117 | − | 1.01033i | ||||
\(741\) | −30.1064 | −1.10599 | ||||||||
\(742\) | −0.715529 | + | 11.1633i | −0.0262679 | + | 0.409817i | ||||
\(743\) | −48.8376 | −1.79168 | −0.895840 | − | 0.444377i | \(-0.853425\pi\) | ||||
−0.895840 | + | 0.444377i | \(0.853425\pi\) | |||||||
\(744\) | 13.5921 | + | 8.31735i | 0.498311 | + | 0.304929i | ||||
\(745\) | −3.99770 | + | 37.8318i | −0.146464 | + | 1.38605i | ||||
\(746\) | −23.0735 | + | 27.0272i | −0.844780 | + | 0.989536i | ||||
\(747\) | 9.11621 | 0.333545 | ||||||||
\(748\) | −0.925917 | − | 5.83000i | −0.0338549 | − | 0.213166i | ||||
\(749\) | −17.2310 | − | 23.0161i | −0.629607 | − | 0.840989i | ||||
\(750\) | 16.0625 | − | 9.81069i | 0.586518 | − | 0.358236i | ||||
\(751\) | − | 0.434842i | − | 0.0158676i | −0.999969 | − | 0.00793381i | \(-0.997475\pi\) | ||
0.999969 | − | 0.00793381i | \(-0.00252544\pi\) | |||||||
\(752\) | −5.94107 | − | 18.2321i | −0.216648 | − | 0.664855i | ||||
\(753\) | − | 18.3940i | − | 0.670314i | ||||||
\(754\) | −42.6981 | + | 50.0145i | −1.55497 | + | 1.82142i | ||||
\(755\) | −3.47575 | + | 32.8923i | −0.126495 | + | 1.19707i | ||||
\(756\) | −20.7114 | − | 20.1095i | −0.753265 | − | 0.731375i | ||||
\(757\) | −13.5346 | −0.491923 | −0.245962 | − | 0.969280i | \(-0.579104\pi\) | ||||
−0.245962 | + | 0.969280i | \(0.579104\pi\) | |||||||
\(758\) | 5.30658 | − | 6.21588i | 0.192744 | − | 0.225771i | ||||
\(759\) | −7.62638 | −0.276820 | ||||||||
\(760\) | 17.5104 | − | 22.8237i | 0.635171 | − | 0.827902i | ||||
\(761\) | − | 28.4347i | − | 1.03076i | −0.856963 | − | 0.515378i | \(-0.827651\pi\) | ||
0.856963 | − | 0.515378i | \(-0.172349\pi\) | |||||||
\(762\) | −6.48663 | + | 7.59813i | −0.234986 | + | 0.275251i | ||||
\(763\) | −11.3397 | − | 15.1468i | −0.410524 | − | 0.548352i | ||||
\(764\) | −4.92442 | + | 0.782093i | −0.178159 | + | 0.0282951i | ||||
\(765\) | −2.84587 | − | 0.300724i | −0.102893 | − | 0.0108727i | ||||
\(766\) | −26.6955 | − | 22.7903i | −0.964548 | − | 0.823448i | ||||
\(767\) | −49.6339 | −1.79218 | ||||||||
\(768\) | 15.3896 | − | 11.2212i | 0.555325 | − | 0.404909i | ||||
\(769\) | 37.6894i | 1.35912i | 0.733622 | + | 0.679558i | \(0.237828\pi\) | ||||
−0.733622 | + | 0.679558i | \(0.762172\pi\) | |||||||
\(770\) | 5.14619 | − | 30.1079i | 0.185456 | − | 1.08501i | ||||
\(771\) | −23.8022 | −0.857215 | ||||||||
\(772\) | −27.6909 | + | 4.39785i | −0.996616 | + | 0.158282i | ||||
\(773\) | 8.24274i | 0.296471i | 0.988952 | + | 0.148235i | \(0.0473593\pi\) | ||||
−0.988952 | + | 0.148235i | \(0.952641\pi\) | |||||||
\(774\) | −4.53718 | − | 3.87345i | −0.163086 | − | 0.139228i | ||||
\(775\) | 23.1415 | + | 4.94596i | 0.831266 | + | 0.177664i | ||||
\(776\) | −28.2741 | − | 17.3016i | −1.01498 | − | 0.621093i | ||||
\(777\) | 15.5154 | − | 11.6156i | 0.556612 | − | 0.416708i | ||||
\(778\) | −7.90216 | − | 6.74618i | −0.283306 | − | 0.241862i | ||||
\(779\) | 34.7995 | 1.24682 | ||||||||
\(780\) | −29.5609 | + | 1.54520i | −1.05845 | + | 0.0553271i | ||||
\(781\) | − | 29.8369i | − | 1.06765i | ||||||
\(782\) | 1.30275 | − | 1.52598i | 0.0465862 | − | 0.0545689i | ||||
\(783\) | 45.6229i | 1.63043i | ||||||||
\(784\) | 0.825482 | + | 27.9878i | 0.0294815 | + | 0.999565i | ||||
\(785\) | 3.91808 | − | 37.0783i | 0.139842 | − | 1.32338i | ||||
\(786\) | −22.1232 | − | 18.8869i | −0.789109 | − | 0.673673i | ||||
\(787\) | 22.9785 | 0.819095 | 0.409547 | − | 0.912289i | \(-0.365687\pi\) | ||||
0.409547 | + | 0.912289i | \(0.365687\pi\) | |||||||
\(788\) | −2.59444 | − | 16.3358i | −0.0924230 | − | 0.581937i | ||||
\(789\) | 3.70197 | 0.131793 | ||||||||
\(790\) | 5.42484 | + | 5.72057i | 0.193007 | + | 0.203529i | ||||
\(791\) | 0.134370 | + | 0.179483i | 0.00477765 | + | 0.00638167i | ||||
\(792\) | 13.9426 | + | 8.53183i | 0.495428 | + | 0.303165i | ||||
\(793\) | − | 22.7240i | − | 0.806954i | ||||||
\(794\) | 10.7769 | + | 9.20035i | 0.382456 | + | 0.326508i | ||||
\(795\) | 7.91367 | + | 0.836241i | 0.280669 | + | 0.0296584i | ||||
\(796\) | 8.51809 | + | 53.6338i | 0.301916 | + | 1.90100i | ||||
\(797\) | 33.7838i | 1.19668i | 0.801241 | + | 0.598341i | \(0.204173\pi\) | ||||
−0.801241 | + | 0.598341i | \(0.795827\pi\) | |||||||
\(798\) | 20.2173 | + | 1.29586i | 0.715685 | + | 0.0458730i | ||||
\(799\) | − | 3.87572i | − | 0.137113i | ||||||
\(800\) | 16.0218 | − | 23.3089i | 0.566455 | − | 0.824093i | ||||
\(801\) | − | 7.84790i | − | 0.277292i | ||||||
\(802\) | −10.7915 | + | 12.6407i | −0.381062 | + | 0.446358i | ||||
\(803\) | −55.4124 | −1.95546 | ||||||||
\(804\) | 27.6801 | − | 4.39613i | 0.976200 | − | 0.155040i | ||||
\(805\) | 8.91880 | − | 5.31421i | 0.314346 | − | 0.187301i | ||||
\(806\) | −28.3053 | − | 24.1647i | −0.997013 | − | 0.851164i | ||||
\(807\) | 13.3538 | 0.470077 | ||||||||
\(808\) | −17.1467 | − | 10.4925i | −0.603220 | − | 0.369126i | ||||
\(809\) | 20.4803 | 0.720049 | 0.360024 | − | 0.932943i | \(-0.382768\pi\) | ||||
0.360024 | + | 0.932943i | \(0.382768\pi\) | |||||||
\(810\) | −4.00446 | + | 3.79744i | −0.140702 | + | 0.133429i | ||||
\(811\) | 12.3156i | 0.432460i | 0.976342 | + | 0.216230i | \(0.0693762\pi\) | ||||
−0.976342 | + | 0.216230i | \(0.930624\pi\) | |||||||
\(812\) | 30.8257 | − | 31.7483i | 1.08177 | − | 1.11415i | ||||
\(813\) | 7.86166 | 0.275720 | ||||||||
\(814\) | −20.6297 | + | 24.1647i | −0.723071 | + | 0.846971i | ||||
\(815\) | −2.55351 | + | 24.1649i | −0.0894457 | + | 0.846459i | ||||
\(816\) | 3.66012 | − | 1.19268i | 0.128130 | − | 0.0417522i | ||||
\(817\) | 12.1208 | 0.424054 | ||||||||
\(818\) | −5.03108 | − | 4.29510i | −0.175907 | − | 0.150175i | ||||
\(819\) | 13.9568 | + | 18.6427i | 0.487691 | + | 0.651427i | ||||
\(820\) | 34.1690 | − | 1.78607i | 1.19323 | − | 0.0623724i | ||||
\(821\) | 26.8208i | 0.936053i | 0.883715 | + | 0.468026i | \(0.155035\pi\) | ||||
−0.883715 | + | 0.468026i | \(0.844965\pi\) | |||||||
\(822\) | −8.44928 | − | 7.21327i | −0.294703 | − | 0.251592i | ||||
\(823\) | 26.3764 | 0.919425 | 0.459712 | − | 0.888068i | \(-0.347953\pi\) | ||||
0.459712 | + | 0.888068i | \(0.347953\pi\) | |||||||
\(824\) | −7.48179 | + | 12.2266i | −0.260641 | + | 0.425935i | ||||
\(825\) | −21.2492 | − | 4.54153i | −0.739802 | − | 0.158116i | ||||
\(826\) | 33.3306 | + | 2.13638i | 1.15972 | + | 0.0743342i | ||||
\(827\) | − | 13.0913i | − | 0.455228i | −0.973751 | − | 0.227614i | \(-0.926908\pi\) | ||
0.973751 | − | 0.227614i | \(-0.0730924\pi\) | |||||||
\(828\) | 0.871464 | + | 5.48714i | 0.0302855 | + | 0.190691i | ||||
\(829\) | −13.7348 | −0.477030 | −0.238515 | − | 0.971139i | \(-0.576661\pi\) | ||||
−0.238515 | + | 0.971139i | \(0.576661\pi\) | |||||||
\(830\) | −13.2142 | + | 12.5311i | −0.458672 | + | 0.434961i | ||||
\(831\) | −19.1299 | −0.663610 | ||||||||
\(832\) | −39.6094 | + | 20.2455i | −1.37321 | + | 0.701888i | ||||
\(833\) | −1.59398 | + | 5.43016i | −0.0552282 | + | 0.188144i | ||||
\(834\) | 8.16273 | + | 6.96864i | 0.282652 | + | 0.241304i | ||||
\(835\) | −1.19084 | + | 11.2694i | −0.0412108 | + | 0.389994i | ||||
\(836\) | −32.7996 | + | 5.20922i | −1.13440 | + | 0.180165i | ||||
\(837\) | −25.8200 | −0.892468 | ||||||||
\(838\) | −23.3829 | − | 19.9623i | −0.807749 | − | 0.689586i | ||||
\(839\) | −25.7342 | −0.888445 | −0.444222 | − | 0.895917i | \(-0.646520\pi\) | ||||
−0.444222 | + | 0.895917i | \(0.646520\pi\) | |||||||
\(840\) | 19.9175 | + | 0.234735i | 0.687220 | + | 0.00809914i | ||||
\(841\) | −40.9351 | −1.41155 | ||||||||
\(842\) | 10.5075 | + | 8.97040i | 0.362112 | + | 0.309140i | ||||
\(843\) | 25.1814 | 0.867293 | ||||||||
\(844\) | −6.31125 | − | 39.7386i | −0.217242 | − | 1.36786i | ||||
\(845\) | 39.8452 | + | 4.21045i | 1.37072 | + | 0.144844i | ||||
\(846\) | 8.16220 | + | 6.96818i | 0.280622 | + | 0.239571i | ||||
\(847\) | −4.93098 | + | 3.69158i | −0.169431 | + | 0.126844i | ||||
\(848\) | 11.3701 | − | 3.70504i | 0.390451 | − | 0.127232i | ||||
\(849\) | −29.4300 | −1.01003 | ||||||||
\(850\) | 4.53854 | − | 3.47601i | 0.155671 | − | 0.119226i | ||||
\(851\) | −10.7995 | −0.370202 | ||||||||
\(852\) | 19.2165 | − | 3.05196i | 0.658348 | − | 0.104558i | ||||
\(853\) | 8.40578i | 0.287808i | 0.989592 | + | 0.143904i | \(0.0459657\pi\) | ||||
−0.989592 | + | 0.143904i | \(0.954034\pi\) | |||||||
\(854\) | −0.978104 | + | 15.2598i | −0.0334700 | + | 0.522181i | ||||
\(855\) | −1.69188 | + | 16.0109i | −0.0578609 | + | 0.547561i | ||||
\(856\) | −16.0432 | + | 26.2175i | −0.548344 | + | 0.896096i | ||||
\(857\) | −25.2022 | −0.860892 | −0.430446 | − | 0.902616i | \(-0.641644\pi\) | ||||
−0.430446 | + | 0.902616i | \(0.641644\pi\) | |||||||
\(858\) | 25.9908 | + | 22.1887i | 0.887312 | + | 0.757511i | ||||
\(859\) | − | 44.9663i | − | 1.53423i | −0.641510 | − | 0.767114i | \(-0.721692\pi\) | ||
0.641510 | − | 0.767114i | \(-0.278308\pi\) | |||||||
\(860\) | 11.9012 | − | 0.622098i | 0.405828 | − | 0.0212133i | ||||
\(861\) | 14.4409 | + | 19.2893i | 0.492146 | + | 0.657377i | ||||
\(862\) | 2.28990 | + | 1.95492i | 0.0779942 | + | 0.0665847i | ||||
\(863\) | 21.2327 | 0.722768 | 0.361384 | − | 0.932417i | \(-0.382304\pi\) | ||||
0.361384 | + | 0.932417i | \(0.382304\pi\) | |||||||
\(864\) | −11.7798 | + | 28.5244i | −0.400755 | + | 0.970419i | ||||
\(865\) | −0.872153 | + | 8.25352i | −0.0296541 | + | 0.280628i | ||||
\(866\) | 1.03085 | − | 1.20749i | 0.0350299 | − | 0.0410323i | ||||
\(867\) | −19.4584 | −0.660843 | ||||||||
\(868\) | 17.9677 | + | 17.4456i | 0.609865 | + | 0.592142i | ||||
\(869\) | − | 9.10163i | − | 0.308752i | ||||||
\(870\) | −21.6614 | − | 22.8423i | −0.734391 | − | 0.774426i | ||||
\(871\) | −65.4590 | −2.21799 | ||||||||
\(872\) | −10.5580 | + | 17.2537i | −0.357538 | + | 0.584283i | ||||
\(873\) | 18.5518 | 0.627884 | ||||||||
\(874\) | −8.58518 | − | 7.32929i | −0.290398 | − | 0.247917i | ||||
\(875\) | 28.0149 | − | 9.49567i | 0.947075 | − | 0.321012i | ||||
\(876\) | −5.66804 | − | 35.6886i | −0.191505 | − | 1.20581i | ||||
\(877\) | 23.4510 | 0.791884 | 0.395942 | − | 0.918275i | \(-0.370418\pi\) | ||||
0.395942 | + | 0.918275i | \(0.370418\pi\) | |||||||
\(878\) | 16.5257 | − | 19.3574i | 0.557714 | − | 0.653280i | ||||
\(879\) | 13.5717i | 0.457762i | ||||||||
\(880\) | −31.9380 | + | 6.79827i | −1.07663 | + | 0.229170i | ||||
\(881\) | 30.2220i | 1.01821i | 0.860706 | + | 0.509103i | \(0.170023\pi\) | ||||
−0.860706 | + | 0.509103i | \(0.829977\pi\) | |||||||
\(882\) | −8.56998 | − | 13.1198i | −0.288566 | − | 0.441767i | ||||
\(883\) | − | 55.2980i | − | 1.86092i | −0.366387 | − | 0.930462i | \(-0.619405\pi\) | ||
0.366387 | − | 0.930462i | \(-0.380595\pi\) | |||||||
\(884\) | −8.87959 | + | 1.41025i | −0.298653 | + | 0.0474319i | ||||
\(885\) | 2.49680 | − | 23.6281i | 0.0839289 | − | 0.794252i | ||||
\(886\) | 10.8847 | + | 9.29238i | 0.365677 | + | 0.312184i | ||||
\(887\) | 8.28733i | 0.278261i | 0.990274 | + | 0.139131i | \(0.0444308\pi\) | ||||
−0.990274 | + | 0.139131i | \(0.955569\pi\) | |||||||
\(888\) | −17.6735 | − | 10.8149i | −0.593084 | − | 0.362924i | ||||
\(889\) | −12.5690 | + | 9.40981i | −0.421551 | + | 0.315595i | ||||
\(890\) | 10.7877 | + | 11.3758i | 0.361604 | + | 0.381317i | ||||
\(891\) | 6.37123 | 0.213444 | ||||||||
\(892\) | 31.0748 | − | 4.93529i | 1.04046 | − | 0.165246i | ||||
\(893\) | −21.8048 | −0.729671 | ||||||||
\(894\) | 21.7826 | + | 18.5961i | 0.728518 | + | 0.621946i | ||||
\(895\) | −16.1651 | − | 1.70817i | −0.540338 | − | 0.0570978i | ||||
\(896\) | 27.4702 | − | 11.8906i | 0.917717 | − | 0.397236i | ||||
\(897\) | 11.6156i | 0.387834i | ||||||||
\(898\) | −0.689248 | + | 0.807352i | −0.0230005 | + | 0.0269417i | ||||
\(899\) | − | 39.5793i | − | 1.32004i | ||||||
\(900\) | −0.839468 | + | 15.8076i | −0.0279823 | + | 0.526921i | ||||
\(901\) | 2.41702 | 0.0805227 | ||||||||
\(902\) | −30.0423 | − | 25.6476i | −1.00030 | − | 0.853971i | ||||
\(903\) | 5.02985 | + | 6.71855i | 0.167383 | + | 0.223579i | ||||
\(904\) | 0.125107 | − | 0.204448i | 0.00416100 | − | 0.00679984i | ||||
\(905\) | −40.5470 | − | 4.28462i | −1.34783 | − | 0.142425i | ||||
\(906\) | 18.9385 | + | 16.1681i | 0.629191 | + | 0.537149i | ||||
\(907\) | 18.0875i | 0.600587i | 0.953847 | + | 0.300293i | \(0.0970845\pi\) | ||||
−0.953847 | + | 0.300293i | \(0.902915\pi\) | |||||||
\(908\) | 5.49779 | + | 34.6166i | 0.182451 | + | 1.14879i | ||||
\(909\) | 11.2507 | 0.373162 | ||||||||
\(910\) | −45.8570 | − | 7.83809i | −1.52014 | − | 0.259830i | ||||
\(911\) | − | 6.16833i | − | 0.204366i | −0.994766 | − | 0.102183i | \(-0.967417\pi\) | ||
0.994766 | − | 0.102183i | \(-0.0325827\pi\) | |||||||
\(912\) | −6.71003 | − | 20.5919i | −0.222191 | − | 0.681866i | ||||
\(913\) | 21.0243 | 0.695802 | ||||||||
\(914\) | −22.0490 | − | 18.8236i | −0.729317 | − | 0.622628i | ||||
\(915\) | 10.8177 | + | 1.14311i | 0.357623 | + | 0.0377902i | ||||
\(916\) | −5.19903 | − | 32.7355i | −0.171781 | − | 1.08161i | ||||
\(917\) | −27.3982 | − | 36.5968i | −0.904768 | − | 1.20853i | ||||
\(918\) | −4.04995 | + | 4.74392i | −0.133668 | + | 0.156573i | ||||
\(919\) | − | 55.8085i | − | 1.84095i | −0.390797 | − | 0.920477i | \(-0.627801\pi\) | ||
0.390797 | − | 0.920477i | \(-0.372199\pi\) | |||||||
\(920\) | −8.80580 | − | 6.75586i | −0.290319 | − | 0.222734i | ||||
\(921\) | −0.507762 | −0.0167313 | ||||||||
\(922\) | 13.7366 | − | 16.0904i | 0.452392 | − | 0.529910i | ||||
\(923\) | −45.4441 | −1.49581 | ||||||||
\(924\) | −16.4985 | − | 16.0191i | −0.542761 | − | 0.526989i | ||||
\(925\) | −30.0904 | − | 6.43113i | −0.989365 | − | 0.211454i | ||||
\(926\) | 21.2177 | − | 24.8534i | 0.697258 | − | 0.816735i | ||||
\(927\) | − | 8.02241i | − | 0.263491i | ||||||
\(928\) | −43.7249 | − | 18.0571i | −1.43534 | − | 0.592754i | ||||
\(929\) | 14.2579i | 0.467787i | 0.972262 | + | 0.233894i | \(0.0751467\pi\) | ||||
−0.972262 | + | 0.233894i | \(0.924853\pi\) | |||||||
\(930\) | 12.9274 | − | 12.2591i | 0.423907 | − | 0.401993i | ||||
\(931\) | 30.5501 | + | 8.96776i | 1.00124 | + | 0.293907i | ||||
\(932\) | 27.8583 | − | 4.42443i | 0.912528 | − | 0.144927i | ||||
\(933\) | 0.698651 | 0.0228728 | ||||||||
\(934\) | −20.5464 | + | 24.0670i | −0.672297 | + | 0.787497i | ||||
\(935\) | −6.56329 | − | 0.693545i | −0.214643 | − | 0.0226814i | ||||
\(936\) | 12.9947 | − | 21.2357i | 0.424745 | − | 0.694112i | ||||
\(937\) | −22.5672 | −0.737237 | −0.368618 | − | 0.929581i | \(-0.620169\pi\) | ||||
−0.368618 | + | 0.929581i | \(0.620169\pi\) | |||||||
\(938\) | 43.9576 | + | 2.81753i | 1.43526 | + | 0.0919957i | ||||
\(939\) | 7.68634 | 0.250834 | ||||||||
\(940\) | −21.4098 | + | 1.11913i | −0.698310 | + | 0.0365019i | ||||
\(941\) | −12.3410 | −0.402307 | −0.201153 | − | 0.979560i | \(-0.564469\pi\) | ||||
−0.201153 | + | 0.979560i | \(0.564469\pi\) | |||||||
\(942\) | −21.3487 | − | 18.2257i | −0.695578 | − | 0.593825i | ||||
\(943\) | − | 13.4263i | − | 0.437220i | ||||||
\(944\) | −11.0623 | − | 33.9481i | −0.360046 | − | 1.10492i | ||||
\(945\) | −27.7265 | + | 16.5206i | −0.901943 | + | 0.537417i | ||||
\(946\) | −10.4639 | − | 8.93317i | −0.340210 | − | 0.290442i | ||||
\(947\) | 38.9941i | 1.26714i | 0.773687 | + | 0.633568i | \(0.218410\pi\) | ||||
−0.773687 | + | 0.633568i | \(0.781590\pi\) | |||||||
\(948\) | 5.86194 | − | 0.930989i | 0.190387 | − | 0.0302371i | ||||
\(949\) | 84.3979i | 2.73967i | ||||||||
\(950\) | −19.5561 | − | 25.5339i | −0.634482 | − | 0.828429i | ||||
\(951\) | −12.2711 | −0.397918 | ||||||||
\(952\) | 6.02360 | − | 0.564822i | 0.195226 | − | 0.0183060i | ||||
\(953\) | 57.1070i | 1.84988i | 0.380117 | + | 0.924938i | \(0.375884\pi\) | ||||
−0.380117 | + | 0.924938i | \(0.624116\pi\) | |||||||
\(954\) | −4.34558 | + | 5.09021i | −0.140693 | + | 0.164802i | ||||
\(955\) | −0.585816 | + | 5.54380i | −0.0189565 | + | 0.179393i | ||||
\(956\) | 44.8809 | − | 7.12796i | 1.45155 | − | 0.230535i | ||||
\(957\) | 36.3429i | 1.17480i | ||||||||
\(958\) | −29.9408 | + | 35.0713i | −0.967344 | + | 1.13310i | ||||
\(959\) | −10.4639 | − | 13.9770i | −0.337897 | − | 0.451341i | ||||
\(960\) | −7.64533 | − | 19.8744i | −0.246752 | − | 0.641444i | ||||
\(961\) | −8.60041 | −0.277433 | ||||||||
\(962\) | 36.8048 | + | 31.4208i | 1.18664 | + | 1.01305i | ||||
\(963\) | − | 17.2024i | − | 0.554340i | ||||||
\(964\) | 29.6714 | − | 4.71239i | 0.955651 | − | 0.151776i | ||||
\(965\) | −3.29415 | + | 31.1738i | −0.106042 | + | 1.00352i | ||||
\(966\) | 0.499968 | − | 7.80022i | 0.0160862 | − | 0.250968i | ||||
\(967\) | 11.1371 | 0.358146 | 0.179073 | − | 0.983836i | \(-0.442690\pi\) | ||||
0.179073 | + | 0.983836i | \(0.442690\pi\) | |||||||
\(968\) | 5.61686 | + | 3.43710i | 0.180533 | + | 0.110473i | ||||
\(969\) | − | 4.37736i | − | 0.140621i | ||||||
\(970\) | −26.8914 | + | 25.5013i | −0.863432 | + | 0.818796i | ||||
\(971\) | − | 7.38403i | − | 0.236965i | −0.992956 | − | 0.118482i | \(-0.962197\pi\) | ||
0.992956 | − | 0.118482i | \(-0.0378029\pi\) | |||||||
\(972\) | −4.48259 | − | 28.2245i | −0.143779 | − | 0.905300i | ||||
\(973\) | 10.1090 | + | 13.5030i | 0.324081 | + | 0.432886i | ||||
\(974\) | −3.58477 | + | 4.19903i | −0.114863 | + | 0.134546i | ||||
\(975\) | −6.91714 | + | 32.3643i | −0.221526 | + | 1.03649i | ||||
\(976\) | 15.5426 | − | 5.06467i | 0.497505 | − | 0.162116i | ||||
\(977\) | 23.4951i | 0.751675i | 0.926686 | + | 0.375838i | \(0.122645\pi\) | ||||
−0.926686 | + | 0.375838i | \(0.877355\pi\) | |||||||
\(978\) | 13.9135 | + | 11.8782i | 0.444905 | + | 0.379822i | ||||
\(979\) | − | 18.0992i | − | 0.578454i | ||||||
\(980\) | 30.4569 | + | 7.23731i | 0.972909 | + | 0.231187i | ||||
\(981\) | − | 11.3209i | − | 0.361448i | ||||||
\(982\) | 18.8721 | − | 22.1059i | 0.602234 | − | 0.705429i | ||||
\(983\) | 60.7158i | 1.93653i | 0.249918 | + | 0.968267i | \(0.419596\pi\) | ||||
−0.249918 | + | 0.968267i | \(0.580404\pi\) | |||||||
\(984\) | 13.4454 | − | 21.9723i | 0.428625 | − | 0.700452i | ||||
\(985\) | −18.3905 | − | 1.94333i | −0.585969 | − | 0.0619195i | ||||
\(986\) | −7.27193 | − | 6.20814i | −0.231585 | − | 0.197708i | ||||
\(987\) | −9.04848 | − | 12.0864i | −0.288016 | − | 0.384714i | ||||
\(988\) | 7.93409 | + | 49.9567i | 0.252417 | + | 1.58933i | ||||
\(989\) | − | 4.67644i | − | 0.148702i | ||||||
\(990\) | 13.2608 | − | 12.5752i | 0.421455 | − | 0.399667i | ||||
\(991\) | 8.22655i | 0.261325i | 0.991427 | + | 0.130663i | \(0.0417104\pi\) | ||||
−0.991427 | + | 0.130663i | \(0.958290\pi\) | |||||||
\(992\) | 10.2193 | − | 24.7458i | 0.324463 | − | 0.785679i | ||||
\(993\) | 9.55672 | 0.303273 | ||||||||
\(994\) | 30.5170 | + | 1.95604i | 0.967940 | + | 0.0620417i | ||||
\(995\) | 60.3798 | + | 6.38035i | 1.91417 | + | 0.202271i | ||||
\(996\) | 2.15054 | + | 13.5408i | 0.0681423 | + | 0.429055i | ||||
\(997\) | − | 49.5766i | − | 1.57011i | −0.619428 | − | 0.785054i | \(-0.712635\pi\) | ||
0.619428 | − | 0.785054i | \(-0.287365\pi\) | |||||||
\(998\) | 23.7504 | − | 27.8201i | 0.751805 | − | 0.880629i | ||||
\(999\) | 33.5731 | 1.06221 |
(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 | 280.2.n.b.139.12 | yes | 40 | |
4.3 | odd | 2 | 1120.2.n.b.559.14 | 40 | |||
5.4 | even | 2 | inner | 280.2.n.b.139.29 | yes | 40 | |
7.6 | odd | 2 | inner | 280.2.n.b.139.11 | yes | 40 | |
8.3 | odd | 2 | inner | 280.2.n.b.139.32 | yes | 40 | |
8.5 | even | 2 | 1120.2.n.b.559.13 | 40 | |||
20.19 | odd | 2 | 1120.2.n.b.559.28 | 40 | |||
28.27 | even | 2 | 1120.2.n.b.559.27 | 40 | |||
35.34 | odd | 2 | inner | 280.2.n.b.139.30 | yes | 40 | |
40.19 | odd | 2 | inner | 280.2.n.b.139.9 | ✓ | 40 | |
40.29 | even | 2 | 1120.2.n.b.559.26 | 40 | |||
56.13 | odd | 2 | 1120.2.n.b.559.25 | 40 | |||
56.27 | even | 2 | inner | 280.2.n.b.139.31 | yes | 40 | |
140.139 | even | 2 | 1120.2.n.b.559.16 | 40 | |||
280.69 | odd | 2 | 1120.2.n.b.559.15 | 40 | |||
280.139 | even | 2 | inner | 280.2.n.b.139.10 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.n.b.139.9 | ✓ | 40 | 40.19 | odd | 2 | inner | |
280.2.n.b.139.10 | yes | 40 | 280.139 | even | 2 | inner | |
280.2.n.b.139.11 | yes | 40 | 7.6 | odd | 2 | inner | |
280.2.n.b.139.12 | yes | 40 | 1.1 | even | 1 | trivial | |
280.2.n.b.139.29 | yes | 40 | 5.4 | even | 2 | inner | |
280.2.n.b.139.30 | yes | 40 | 35.34 | odd | 2 | inner | |
280.2.n.b.139.31 | yes | 40 | 56.27 | even | 2 | inner | |
280.2.n.b.139.32 | yes | 40 | 8.3 | odd | 2 | inner | |
1120.2.n.b.559.13 | 40 | 8.5 | even | 2 | |||
1120.2.n.b.559.14 | 40 | 4.3 | odd | 2 | |||
1120.2.n.b.559.15 | 40 | 280.69 | odd | 2 | |||
1120.2.n.b.559.16 | 40 | 140.139 | even | 2 | |||
1120.2.n.b.559.25 | 40 | 56.13 | odd | 2 | |||
1120.2.n.b.559.26 | 40 | 40.29 | even | 2 | |||
1120.2.n.b.559.27 | 40 | 28.27 | even | 2 | |||
1120.2.n.b.559.28 | 40 | 20.19 | odd | 2 |