Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 317.35 | ||
Character | \(\chi\) | \(=\) | 546.317 |
Dual form | 546.2.bv.a.515.35 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.64650 | + | 0.537619i | 0.950608 | + | 0.310395i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −3.24035 | + | 0.868248i | −1.44913 | + | 0.388292i | −0.895720 | − | 0.444619i | \(-0.853339\pi\) |
−0.553407 | + | 0.832911i | \(0.686673\pi\) | |||||||
\(6\) | 1.72954 | + | 0.0931546i | 0.706083 | + | 0.0380302i | ||||
\(7\) | −1.25441 | + | 2.32948i | −0.474123 | + | 0.880459i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.42193 | + | 1.77038i | 0.807310 | + | 0.590127i | ||||
\(10\) | −2.90521 | + | 1.67733i | −0.918710 | + | 0.530417i | ||||
\(11\) | 6.11240 | + | 1.63781i | 1.84296 | + | 0.493819i | 0.999087 | − | 0.0427270i | \(-0.0136046\pi\) |
0.843871 | + | 0.536546i | \(0.180271\pi\) | |||||||
\(12\) | 1.69472 | − | 0.357658i | 0.489224 | − | 0.103247i | ||||
\(13\) | −0.0266902 | + | 3.60545i | −0.00740253 | + | 0.999973i | ||||
\(14\) | −0.608755 | + | 2.57477i | −0.162697 | + | 0.688135i | ||||
\(15\) | −5.80202 | − | 0.312501i | −1.49808 | − | 0.0806875i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −2.03425 | − | 3.52342i | −0.493377 | − | 0.854555i | 0.506594 | − | 0.862185i | \(-0.330904\pi\) |
−0.999971 | + | 0.00763036i | \(0.997571\pi\) | |||||||
\(18\) | 2.79761 | + | 1.08322i | 0.659404 | + | 0.255316i | ||||
\(19\) | 0.600144 | + | 2.23977i | 0.137683 | + | 0.513838i | 0.999972 | + | 0.00742326i | \(0.00236292\pi\) |
−0.862290 | + | 0.506415i | \(0.830970\pi\) | |||||||
\(20\) | −2.37210 | + | 2.37210i | −0.530417 | + | 0.530417i | ||||
\(21\) | −3.31776 | + | 3.16109i | −0.723994 | + | 0.689806i | ||||
\(22\) | 6.32802 | 1.34914 | ||||||||
\(23\) | 2.74170 | − | 4.74876i | 0.571684 | − | 0.990185i | −0.424709 | − | 0.905330i | \(-0.639624\pi\) |
0.996393 | − | 0.0848557i | \(-0.0270429\pi\) | |||||||
\(24\) | 1.54441 | − | 0.784098i | 0.315251 | − | 0.160053i | ||||
\(25\) | 5.41586 | − | 3.12685i | 1.08317 | − | 0.625370i | ||||
\(26\) | 0.907379 | + | 3.48951i | 0.177952 | + | 0.684349i | ||||
\(27\) | 3.03592 | + | 4.21701i | 0.584263 | + | 0.811564i | ||||
\(28\) | 0.0783861 | + | 2.64459i | 0.0148136 | + | 0.499781i | ||||
\(29\) | 0.127692i | 0.0237119i | 0.999930 | + | 0.0118559i | \(0.00377395\pi\) | ||||
−0.999930 | + | 0.0118559i | \(0.996226\pi\) | |||||||
\(30\) | −5.68520 | + | 1.19982i | −1.03797 | + | 0.219056i | ||||
\(31\) | 1.65420 | + | 0.443241i | 0.297103 | + | 0.0796084i | 0.404291 | − | 0.914630i | \(-0.367518\pi\) |
−0.107189 | + | 0.994239i | \(0.534185\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 9.18355 | + | 5.98280i | 1.59865 | + | 1.04147i | ||||
\(34\) | −2.87686 | − | 2.87686i | −0.493377 | − | 0.493377i | ||||
\(35\) | 2.04216 | − | 8.63745i | 0.345188 | − | 1.45999i | ||||
\(36\) | 2.98264 | + | 0.322230i | 0.497107 | + | 0.0537050i | ||||
\(37\) | −7.58283 | + | 2.03181i | −1.24661 | + | 0.334028i | −0.821026 | − | 0.570891i | \(-0.806598\pi\) |
−0.425584 | + | 0.904919i | \(0.639931\pi\) | |||||||
\(38\) | 1.15939 | + | 2.00812i | 0.188078 | + | 0.325760i | ||||
\(39\) | −1.98231 | + | 5.92203i | −0.317423 | + | 0.948284i | ||||
\(40\) | −1.67733 | + | 2.90521i | −0.265209 | + | 0.459355i | ||||
\(41\) | −7.12298 | − | 7.12298i | −1.11242 | − | 1.11242i | −0.992822 | − | 0.119600i | \(-0.961839\pi\) |
−0.119600 | − | 0.992822i | \(-0.538161\pi\) | |||||||
\(42\) | −2.38656 | + | 3.91208i | −0.368254 | + | 0.603646i | ||||
\(43\) | − | 2.56093i | − | 0.390538i | −0.980750 | − | 0.195269i | \(-0.937442\pi\) | ||
0.980750 | − | 0.195269i | \(-0.0625579\pi\) | |||||||
\(44\) | 6.11240 | − | 1.63781i | 0.921479 | − | 0.246910i | ||||
\(45\) | −9.38502 | − | 3.63381i | −1.39904 | − | 0.541697i | ||||
\(46\) | 1.41921 | − | 5.29656i | 0.209251 | − | 0.780935i | ||||
\(47\) | −2.54114 | − | 9.48367i | −0.370664 | − | 1.38334i | −0.859578 | − | 0.511004i | \(-0.829274\pi\) |
0.488914 | − | 0.872332i | \(-0.337393\pi\) | |||||||
\(48\) | 1.28884 | − | 1.15710i | 0.186028 | − | 0.167013i | ||||
\(49\) | −3.85291 | − | 5.84424i | −0.550415 | − | 0.834891i | ||||
\(50\) | 4.42203 | − | 4.42203i | 0.625370 | − | 0.625370i | ||||
\(51\) | −1.45513 | − | 6.89496i | −0.203759 | − | 0.965488i | ||||
\(52\) | 1.77961 | + | 3.13576i | 0.246788 | + | 0.434851i | ||||
\(53\) | −2.68874 | + | 1.55235i | −0.369327 | + | 0.213231i | −0.673165 | − | 0.739493i | \(-0.735065\pi\) |
0.303837 | + | 0.952724i | \(0.401732\pi\) | |||||||
\(54\) | 4.02392 | + | 3.28757i | 0.547586 | + | 0.447381i | ||||
\(55\) | −21.2283 | −2.86243 | ||||||||
\(56\) | 0.760185 | + | 2.53419i | 0.101584 | + | 0.338645i | ||||
\(57\) | −0.216005 | + | 4.01043i | −0.0286106 | + | 0.531195i | ||||
\(58\) | 0.0330492 | + | 0.123341i | 0.00433957 | + | 0.0161955i | ||||
\(59\) | 6.18587 | + | 1.65750i | 0.805332 | + | 0.215788i | 0.637924 | − | 0.770100i | \(-0.279793\pi\) |
0.167408 | + | 0.985888i | \(0.446460\pi\) | |||||||
\(60\) | −5.18095 | + | 2.63038i | −0.668857 | + | 0.339580i | ||||
\(61\) | 1.79532 | − | 3.10959i | 0.229867 | − | 0.398142i | −0.727901 | − | 0.685682i | \(-0.759504\pi\) |
0.957769 | + | 0.287540i | \(0.0928374\pi\) | |||||||
\(62\) | 1.71255 | 0.217494 | ||||||||
\(63\) | −7.16216 | + | 3.42104i | −0.902347 | + | 0.431011i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −3.04394 | − | 11.7061i | −0.377555 | − | 1.45196i | ||||
\(66\) | 10.4191 | + | 3.40207i | 1.28250 | + | 0.418766i | ||||
\(67\) | 3.15651 | + | 0.845785i | 0.385629 | + | 0.103329i | 0.446425 | − | 0.894821i | \(-0.352697\pi\) |
−0.0607954 | + | 0.998150i | \(0.519364\pi\) | |||||||
\(68\) | −3.52342 | − | 2.03425i | −0.427277 | − | 0.246689i | ||||
\(69\) | 7.06724 | − | 6.34485i | 0.850795 | − | 0.763830i | ||||
\(70\) | −0.262958 | − | 8.87168i | −0.0314295 | − | 1.06037i | ||||
\(71\) | 8.71117 | + | 8.71117i | 1.03383 | + | 1.03383i | 0.999408 | + | 0.0344187i | \(0.0109580\pi\) |
0.0344187 | + | 0.999408i | \(0.489042\pi\) | |||||||
\(72\) | 2.96441 | − | 0.460715i | 0.349359 | − | 0.0542958i | ||||
\(73\) | 1.09357 | − | 4.08124i | 0.127992 | − | 0.477673i | −0.871937 | − | 0.489619i | \(-0.837136\pi\) |
0.999929 | + | 0.0119458i | \(0.00380255\pi\) | |||||||
\(74\) | −6.79858 | + | 3.92516i | −0.790319 | + | 0.456291i | ||||
\(75\) | 10.5983 | − | 2.23669i | 1.22378 | − | 0.258270i | ||||
\(76\) | 1.63962 | + | 1.63962i | 0.188078 | + | 0.188078i | ||||
\(77\) | −11.4827 | + | 12.1842i | −1.30858 | + | 1.38852i | ||||
\(78\) | −0.382026 | + | 6.23330i | −0.0432560 | + | 0.705782i | ||||
\(79\) | 3.01834 | − | 5.22792i | 0.339590 | − | 0.588187i | −0.644766 | − | 0.764380i | \(-0.723045\pi\) |
0.984356 | + | 0.176193i | \(0.0563784\pi\) | |||||||
\(80\) | −0.868248 | + | 3.24035i | −0.0970731 | + | 0.362282i | ||||
\(81\) | 2.73150 | + | 8.57548i | 0.303500 | + | 0.952832i | ||||
\(82\) | −8.72383 | − | 5.03671i | −0.963386 | − | 0.556211i | ||||
\(83\) | 0.395201 | + | 0.395201i | 0.0433790 | + | 0.0433790i | 0.728464 | − | 0.685085i | \(-0.240235\pi\) |
−0.685085 | + | 0.728464i | \(0.740235\pi\) | |||||||
\(84\) | −1.29272 | + | 4.39646i | −0.141047 | + | 0.479693i | ||||
\(85\) | 9.65087 | + | 9.65087i | 1.04678 | + | 1.04678i | ||||
\(86\) | −0.662816 | − | 2.47366i | −0.0714733 | − | 0.266742i | ||||
\(87\) | −0.0686499 | + | 0.210246i | −0.00736004 | + | 0.0225407i | ||||
\(88\) | 5.48023 | − | 3.16401i | 0.584194 | − | 0.337285i | ||||
\(89\) | 0.836494 | + | 3.12184i | 0.0886682 | + | 0.330914i | 0.995984 | − | 0.0895366i | \(-0.0285386\pi\) |
−0.907315 | + | 0.420451i | \(0.861872\pi\) | |||||||
\(90\) | −10.0057 | − | 1.08097i | −1.05470 | − | 0.113944i | ||||
\(91\) | −8.36533 | − | 4.58489i | −0.876925 | − | 0.480627i | ||||
\(92\) | − | 5.48340i | − | 0.571684i | ||||||
\(93\) | 2.48534 | + | 1.61912i | 0.257718 | + | 0.167895i | ||||
\(94\) | −4.90911 | − | 8.50283i | −0.506336 | − | 0.877000i | ||||
\(95\) | −3.88935 | − | 6.73655i | −0.399039 | − | 0.691156i | ||||
\(96\) | 0.945446 | − | 1.45125i | 0.0964942 | − | 0.148118i | ||||
\(97\) | 2.43118 | − | 2.43118i | 0.246849 | − | 0.246849i | −0.572827 | − | 0.819676i | \(-0.694153\pi\) |
0.819676 | + | 0.572827i | \(0.194153\pi\) | |||||||
\(98\) | −5.23422 | − | 4.64789i | −0.528736 | − | 0.469508i | ||||
\(99\) | 11.9043 | + | 14.7879i | 1.19642 | + | 1.48624i | ||||
\(100\) | 3.12685 | − | 5.41586i | 0.312685 | − | 0.541586i | ||||
\(101\) | −0.867612 | − | 1.50275i | −0.0863306 | − | 0.149529i | 0.819627 | − | 0.572898i | \(-0.194181\pi\) |
−0.905957 | + | 0.423369i | \(0.860847\pi\) | |||||||
\(102\) | −3.19010 | − | 6.28341i | −0.315867 | − | 0.622150i | ||||
\(103\) | 11.0778 | + | 6.39579i | 1.09153 | + | 0.630196i | 0.933984 | − | 0.357315i | \(-0.116308\pi\) |
0.157548 | + | 0.987511i | \(0.449641\pi\) | |||||||
\(104\) | 2.53057 | + | 2.56831i | 0.248143 | + | 0.251844i | ||||
\(105\) | 8.00608 | − | 13.1237i | 0.781313 | − | 1.28074i | ||||
\(106\) | −2.19535 | + | 2.19535i | −0.213231 | + | 0.213231i | ||||
\(107\) | −15.1052 | − | 8.72097i | −1.46027 | − | 0.843088i | −0.461248 | − | 0.887271i | \(-0.652598\pi\) |
−0.999023 | + | 0.0441826i | \(0.985932\pi\) | |||||||
\(108\) | 4.73769 | + | 2.13408i | 0.455884 | + | 0.205352i | ||||
\(109\) | 5.10102 | + | 1.36681i | 0.488589 | + | 0.130917i | 0.494699 | − | 0.869064i | \(-0.335278\pi\) |
−0.00611014 | + | 0.999981i | \(0.501945\pi\) | |||||||
\(110\) | −20.5050 | + | 5.49429i | −1.95507 | + | 0.523860i | ||||
\(111\) | −13.5775 | − | 0.731294i | −1.28872 | − | 0.0694114i | ||||
\(112\) | 1.39018 | + | 2.25109i | 0.131360 | + | 0.212708i | ||||
\(113\) | − | 0.606621i | − | 0.0570661i | −0.999593 | − | 0.0285331i | \(-0.990916\pi\) | ||
0.999593 | − | 0.0285331i | \(-0.00908359\pi\) | |||||||
\(114\) | 0.829331 | + | 3.92968i | 0.0776740 | + | 0.368049i | ||||
\(115\) | −4.76095 | + | 17.7681i | −0.443961 | + | 1.65688i | ||||
\(116\) | 0.0638462 | + | 0.110585i | 0.00592797 | + | 0.0102675i | ||||
\(117\) | −6.44767 | + | 8.68490i | −0.596087 | + | 0.802920i | ||||
\(118\) | 6.40409 | 0.589544 | ||||||||
\(119\) | 10.7595 | − | 0.318913i | 0.986322 | − | 0.0292347i | ||||
\(120\) | −4.32362 | + | 3.88168i | −0.394691 | + | 0.354347i | ||||
\(121\) | 25.1527 | + | 14.5219i | 2.28661 | + | 1.32018i | ||||
\(122\) | 0.929327 | − | 3.46830i | 0.0841373 | − | 0.314005i | ||||
\(123\) | −7.89854 | − | 15.5574i | −0.712187 | − | 1.40277i | ||||
\(124\) | 1.65420 | − | 0.443241i | 0.148551 | − | 0.0398042i | ||||
\(125\) | −2.97389 | + | 2.97389i | −0.265993 | + | 0.265993i | ||||
\(126\) | −6.03268 | + | 5.15818i | −0.537434 | + | 0.459527i | ||||
\(127\) | − | 20.5110i | − | 1.82006i | −0.414543 | − | 0.910030i | \(-0.636059\pi\) | ||
0.414543 | − | 0.910030i | \(-0.363941\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 1.37680 | − | 4.21657i | 0.121221 | − | 0.371248i | ||||
\(130\) | −5.96998 | − | 10.5194i | −0.523602 | − | 0.922611i | ||||
\(131\) | 3.33860 | + | 1.92754i | 0.291695 | + | 0.168410i | 0.638706 | − | 0.769451i | \(-0.279470\pi\) |
−0.347011 | + | 0.937861i | \(0.612803\pi\) | |||||||
\(132\) | 10.9446 | + | 0.589485i | 0.952604 | + | 0.0513080i | ||||
\(133\) | −5.97031 | − | 1.41157i | −0.517692 | − | 0.122399i | ||||
\(134\) | 3.26786 | 0.282300 | ||||||||
\(135\) | −13.4988 | − | 11.0286i | −1.16180 | − | 0.949195i | ||||
\(136\) | −3.92986 | − | 1.05300i | −0.336983 | − | 0.0902943i | ||||
\(137\) | 2.36895 | + | 0.634758i | 0.202393 | + | 0.0542311i | 0.358591 | − | 0.933495i | \(-0.383257\pi\) |
−0.156198 | + | 0.987726i | \(0.549924\pi\) | |||||||
\(138\) | 5.18426 | − | 7.95779i | 0.441313 | − | 0.677412i | ||||
\(139\) | 17.2879 | 1.46634 | 0.733171 | − | 0.680044i | \(-0.238039\pi\) | ||||
0.733171 | + | 0.680044i | \(0.238039\pi\) | |||||||
\(140\) | −2.55016 | − | 8.50133i | −0.215528 | − | 0.718493i | ||||
\(141\) | 0.914613 | − | 16.9810i | 0.0770243 | − | 1.43006i | ||||
\(142\) | 10.6690 | + | 6.15973i | 0.895320 | + | 0.516913i | ||||
\(143\) | −6.06820 | + | 21.9943i | −0.507448 | + | 1.83925i | ||||
\(144\) | 2.74416 | − | 1.21226i | 0.228680 | − | 0.101022i | ||||
\(145\) | −0.110869 | − | 0.413767i | −0.00920714 | − | 0.0343615i | ||||
\(146\) | − | 4.22521i | − | 0.349681i | ||||||
\(147\) | −3.20184 | − | 11.6939i | −0.264083 | − | 0.964500i | ||||
\(148\) | −5.55102 | + | 5.55102i | −0.456291 | + | 0.456291i | ||||
\(149\) | −5.67339 | + | 1.52018i | −0.464783 | + | 0.124538i | −0.483608 | − | 0.875285i | \(-0.660674\pi\) |
0.0188255 | + | 0.999823i | \(0.494007\pi\) | |||||||
\(150\) | 9.65825 | − | 4.90351i | 0.788593 | − | 0.400370i | ||||
\(151\) | −2.81919 | + | 10.5214i | −0.229423 | + | 0.856217i | 0.751162 | + | 0.660118i | \(0.229494\pi\) |
−0.980584 | + | 0.196098i | \(0.937173\pi\) | |||||||
\(152\) | 2.00812 | + | 1.15939i | 0.162880 | + | 0.0940389i | ||||
\(153\) | 1.31099 | − | 12.1349i | 0.105987 | − | 0.981046i | ||||
\(154\) | −7.93794 | + | 14.7410i | −0.639657 | + | 1.18786i | ||||
\(155\) | −5.74501 | −0.461451 | ||||||||
\(156\) | 1.24429 | + | 6.11978i | 0.0996228 | + | 0.489975i | ||||
\(157\) | −3.72889 | − | 6.45864i | −0.297598 | − | 0.515455i | 0.677988 | − | 0.735073i | \(-0.262852\pi\) |
−0.975586 | + | 0.219618i | \(0.929519\pi\) | |||||||
\(158\) | 1.56241 | − | 5.83099i | 0.124298 | − | 0.463888i | ||||
\(159\) | −5.26159 | + | 1.11042i | −0.417271 | + | 0.0880620i | ||||
\(160\) | 3.35465i | 0.265209i | ||||||||
\(161\) | 7.62291 | + | 12.3436i | 0.600769 | + | 0.972813i | ||||
\(162\) | 4.85792 | + | 7.57632i | 0.381674 | + | 0.595252i | ||||
\(163\) | −8.96107 | + | 2.40111i | −0.701885 | + | 0.188070i | −0.592075 | − | 0.805883i | \(-0.701691\pi\) |
−0.109810 | + | 0.993953i | \(0.535024\pi\) | |||||||
\(164\) | −9.73017 | − | 2.60719i | −0.759799 | − | 0.203587i | ||||
\(165\) | −34.9524 | − | 11.4128i | −2.72104 | − | 0.888482i | ||||
\(166\) | 0.484021 | + | 0.279450i | 0.0375673 | + | 0.0216895i | ||||
\(167\) | −7.85626 | + | 7.85626i | −0.607935 | + | 0.607935i | −0.942406 | − | 0.334471i | \(-0.891442\pi\) |
0.334471 | + | 0.942406i | \(0.391442\pi\) | |||||||
\(168\) | −0.110784 | + | 4.58124i | −0.00854714 | + | 0.353450i | ||||
\(169\) | −12.9986 | − | 0.192461i | −0.999890 | − | 0.0148047i | ||||
\(170\) | 11.8198 | + | 6.82419i | 0.906541 | + | 0.523392i | ||||
\(171\) | −2.51174 | + | 6.48705i | −0.192077 | + | 0.496077i | ||||
\(172\) | −1.28046 | − | 2.21783i | −0.0976344 | − | 0.169108i | ||||
\(173\) | 7.45262 | − | 12.9083i | 0.566612 | − | 0.981401i | −0.430286 | − | 0.902693i | \(-0.641587\pi\) |
0.996898 | − | 0.0787079i | \(-0.0250794\pi\) | |||||||
\(174\) | −0.0118951 | + | 0.220850i | −0.000901768 | + | 0.0167426i | ||||
\(175\) | 0.490203 | + | 16.5385i | 0.0370559 | + | 1.25019i | ||||
\(176\) | 4.47459 | − | 4.47459i | 0.337285 | − | 0.337285i | ||||
\(177\) | 9.29394 | + | 6.05472i | 0.698576 | + | 0.455101i | ||||
\(178\) | 1.61598 | + | 2.79896i | 0.121123 | + | 0.209791i | ||||
\(179\) | −4.86804 | − | 8.43169i | −0.363854 | − | 0.630214i | 0.624737 | − | 0.780835i | \(-0.285206\pi\) |
−0.988592 | + | 0.150621i | \(0.951873\pi\) | |||||||
\(180\) | −9.94458 | + | 1.54554i | −0.741225 | + | 0.115198i | ||||
\(181\) | 0.413098i | 0.0307053i | 0.999882 | + | 0.0153527i | \(0.00488710\pi\) | ||||
−0.999882 | + | 0.0153527i | \(0.995113\pi\) | |||||||
\(182\) | −9.26695 | − | 2.26356i | −0.686912 | − | 0.167786i | ||||
\(183\) | 4.62777 | − | 4.15474i | 0.342095 | − | 0.307127i | ||||
\(184\) | −1.41921 | − | 5.29656i | −0.104625 | − | 0.390467i | ||||
\(185\) | 22.8069 | − | 13.1676i | 1.67679 | − | 0.968098i | ||||
\(186\) | 2.81972 | + | 0.920700i | 0.206752 | + | 0.0675090i | ||||
\(187\) | −6.66343 | − | 24.8683i | −0.487278 | − | 1.81855i | ||||
\(188\) | −6.94253 | − | 6.94253i | −0.506336 | − | 0.506336i | ||||
\(189\) | −13.6317 | + | 1.78224i | −0.991561 | + | 0.129639i | ||||
\(190\) | −5.50037 | − | 5.50037i | −0.399039 | − | 0.399039i | ||||
\(191\) | −21.0580 | − | 12.1578i | −1.52370 | − | 0.879711i | −0.999606 | − | 0.0280531i | \(-0.991069\pi\) |
−0.524098 | − | 0.851658i | \(-0.675597\pi\) | |||||||
\(192\) | 0.537619 | − | 1.64650i | 0.0387993 | − | 0.118826i | ||||
\(193\) | 0.225659 | − | 0.842169i | 0.0162433 | − | 0.0606207i | −0.957329 | − | 0.289002i | \(-0.906677\pi\) |
0.973572 | + | 0.228381i | \(0.0733433\pi\) | |||||||
\(194\) | 1.71910 | − | 2.97758i | 0.123424 | − | 0.213777i | ||||
\(195\) | 1.28157 | − | 20.9106i | 0.0917749 | − | 1.49744i | ||||
\(196\) | −6.25883 | − | 3.13480i | −0.447060 | − | 0.223915i | ||||
\(197\) | 3.35030 | + | 3.35030i | 0.238699 | + | 0.238699i | 0.816311 | − | 0.577612i | \(-0.196015\pi\) |
−0.577612 | + | 0.816311i | \(0.696015\pi\) | |||||||
\(198\) | 15.3260 | + | 11.2030i | 1.08917 | + | 0.796163i | ||||
\(199\) | −19.7369 | + | 11.3951i | −1.39911 | + | 0.807778i | −0.994300 | − | 0.106622i | \(-0.965997\pi\) |
−0.404813 | + | 0.914400i | \(0.632663\pi\) | |||||||
\(200\) | 1.61858 | − | 6.04061i | 0.114451 | − | 0.427135i | ||||
\(201\) | 4.74249 | + | 3.08959i | 0.334509 | + | 0.217923i | ||||
\(202\) | −1.22699 | − | 1.22699i | −0.0863306 | − | 0.0863306i | ||||
\(203\) | −0.297456 | − | 0.160179i | −0.0208773 | − | 0.0112423i | ||||
\(204\) | −4.70766 | − | 5.24365i | −0.329602 | − | 0.367129i | ||||
\(205\) | 29.2654 | + | 16.8964i | 2.04399 | + | 1.18010i | ||||
\(206\) | 12.3557 | + | 3.31071i | 0.860864 | + | 0.230668i | ||||
\(207\) | 15.0473 | − | 6.64732i | 1.04586 | − | 0.462021i | ||||
\(208\) | 3.10907 | + | 1.82584i | 0.215575 | + | 0.126599i | ||||
\(209\) | 14.6733i | 1.01497i | ||||||||
\(210\) | 4.33663 | − | 14.7486i | 0.299256 | − | 1.01775i | ||||
\(211\) | 13.7192 | 0.944470 | 0.472235 | − | 0.881473i | \(-0.343447\pi\) | ||||
0.472235 | + | 0.881473i | \(0.343447\pi\) | |||||||
\(212\) | −1.55235 | + | 2.68874i | −0.106616 | + | 0.184664i | ||||
\(213\) | 9.65966 | + | 19.0263i | 0.661869 | + | 1.30366i | ||||
\(214\) | −16.8476 | − | 4.51431i | −1.15168 | − | 0.308592i | ||||
\(215\) | 2.22352 | + | 8.29829i | 0.151643 | + | 0.565938i | ||||
\(216\) | 5.12860 | + | 0.835158i | 0.348957 | + | 0.0568253i | ||||
\(217\) | −3.10756 | + | 3.29740i | −0.210955 | + | 0.223842i | ||||
\(218\) | 5.28096 | 0.357672 | ||||||||
\(219\) | 3.99471 | − | 6.13185i | 0.269938 | − | 0.414352i | ||||
\(220\) | −18.3843 | + | 10.6142i | −1.23947 | + | 0.715606i | ||||
\(221\) | 12.7578 | − | 7.24034i | 0.858183 | − | 0.487038i | ||||
\(222\) | −13.3041 | + | 2.80773i | −0.892913 | + | 0.188443i | ||||
\(223\) | −4.07576 | + | 4.07576i | −0.272933 | + | 0.272933i | −0.830280 | − | 0.557347i | \(-0.811819\pi\) |
0.557347 | + | 0.830280i | \(0.311819\pi\) | |||||||
\(224\) | 1.92543 | + | 1.81458i | 0.128649 | + | 0.121242i | ||||
\(225\) | 18.6526 | + | 2.01513i | 1.24350 | + | 0.134342i | ||||
\(226\) | −0.157005 | − | 0.585951i | −0.0104438 | − | 0.0389769i | ||||
\(227\) | −4.41341 | + | 16.4711i | −0.292928 | + | 1.09322i | 0.649921 | + | 0.760002i | \(0.274802\pi\) |
−0.942849 | + | 0.333221i | \(0.891865\pi\) | |||||||
\(228\) | 1.81815 | + | 3.58114i | 0.120410 | + | 0.237167i | ||||
\(229\) | 9.59834 | − | 2.57187i | 0.634276 | − | 0.169954i | 0.0726666 | − | 0.997356i | \(-0.476849\pi\) |
0.561609 | + | 0.827403i | \(0.310182\pi\) | |||||||
\(230\) | 18.3949i | 1.21292i | ||||||||
\(231\) | −25.4567 | + | 13.8880i | −1.67493 | + | 0.913761i | ||||
\(232\) | 0.0902921 | + | 0.0902921i | 0.00592797 | + | 0.00592797i | ||||
\(233\) | 9.19291 | − | 15.9226i | 0.602248 | − | 1.04312i | −0.390232 | − | 0.920716i | \(-0.627605\pi\) |
0.992480 | − | 0.122407i | \(-0.0390613\pi\) | |||||||
\(234\) | −3.98015 | + | 10.0578i | −0.260191 | + | 0.657496i | ||||
\(235\) | 16.4684 | + | 28.5240i | 1.07428 | + | 1.86070i | ||||
\(236\) | 6.18587 | − | 1.65750i | 0.402666 | − | 0.107894i | ||||
\(237\) | 7.78033 | − | 6.98505i | 0.505387 | − | 0.453728i | ||||
\(238\) | 10.3103 | − | 3.09281i | 0.668320 | − | 0.200477i | ||||
\(239\) | −3.07854 | − | 3.07854i | −0.199134 | − | 0.199134i | 0.600495 | − | 0.799629i | \(-0.294970\pi\) |
−0.799629 | + | 0.600495i | \(0.794970\pi\) | |||||||
\(240\) | −3.17164 | + | 4.86845i | −0.204729 | + | 0.314257i | ||||
\(241\) | −4.61685 | + | 17.2303i | −0.297397 | + | 1.10990i | 0.641897 | + | 0.766791i | \(0.278148\pi\) |
−0.939295 | + | 0.343112i | \(0.888519\pi\) | |||||||
\(242\) | 28.0542 | + | 7.51710i | 1.80339 | + | 0.483218i | ||||
\(243\) | −0.112933 | + | 15.5880i | −0.00724462 | + | 0.999974i | ||||
\(244\) | − | 3.59064i | − | 0.229867i | ||||||
\(245\) | 17.5590 | + | 15.5921i | 1.12180 | + | 0.996141i | ||||
\(246\) | −11.6560 | − | 12.9830i | −0.743157 | − | 0.827769i | ||||
\(247\) | −8.09140 | + | 2.10401i | −0.514843 | + | 0.133875i | ||||
\(248\) | 1.48311 | − | 0.856275i | 0.0941777 | − | 0.0543735i | ||||
\(249\) | 0.438232 | + | 0.863167i | 0.0277718 | + | 0.0547010i | ||||
\(250\) | −2.10286 | + | 3.64226i | −0.132997 | + | 0.230357i | ||||
\(251\) | −25.3659 | −1.60108 | −0.800542 | − | 0.599276i | \(-0.795455\pi\) | ||||
−0.800542 | + | 0.599276i | \(0.795455\pi\) | |||||||
\(252\) | −4.49209 | + | 6.54379i | −0.282975 | + | 0.412220i | ||||
\(253\) | 24.5359 | − | 24.5359i | 1.54256 | − | 1.54256i | ||||
\(254\) | −5.30864 | − | 19.8121i | −0.333094 | − | 1.24312i | ||||
\(255\) | 10.7017 | + | 21.0787i | 0.670164 | + | 1.32000i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −11.3035 | + | 19.5783i | −0.705096 | + | 1.22126i | 0.261561 | + | 0.965187i | \(0.415763\pi\) |
−0.966657 | + | 0.256075i | \(0.917571\pi\) | |||||||
\(258\) | 0.238562 | − | 4.42923i | 0.0148522 | − | 0.275752i | ||||
\(259\) | 4.77892 | − | 20.2127i | 0.296948 | − | 1.25596i | ||||
\(260\) | −8.48917 | − | 8.61580i | −0.526476 | − | 0.534329i | ||||
\(261\) | −0.226064 | + | 0.309262i | −0.0139930 | + | 0.0191428i | ||||
\(262\) | 3.72373 | + | 0.997770i | 0.230053 | + | 0.0616424i | ||||
\(263\) | −16.2993 | + | 9.41043i | −1.00506 | + | 0.580272i | −0.909742 | − | 0.415175i | \(-0.863720\pi\) |
−0.0953187 | + | 0.995447i | \(0.530387\pi\) | |||||||
\(264\) | 10.7242 | − | 2.26327i | 0.660031 | − | 0.139295i | ||||
\(265\) | 7.36464 | − | 7.36464i | 0.452406 | − | 0.452406i | ||||
\(266\) | −6.13222 | + | 0.181760i | −0.375991 | + | 0.0111444i | ||||
\(267\) | −0.301072 | + | 5.58982i | −0.0184253 | + | 0.342092i | ||||
\(268\) | 3.15651 | − | 0.845785i | 0.192815 | − | 0.0516645i | ||||
\(269\) | 4.49802 | − | 2.59693i | 0.274249 | − | 0.158338i | −0.356568 | − | 0.934269i | \(-0.616053\pi\) |
0.630817 | + | 0.775932i | \(0.282720\pi\) | |||||||
\(270\) | −15.8933 | − | 7.15910i | −0.967236 | − | 0.435689i | ||||
\(271\) | −4.20199 | + | 1.12592i | −0.255253 | + | 0.0683948i | −0.384176 | − | 0.923260i | \(-0.625515\pi\) |
0.128923 | + | 0.991655i | \(0.458848\pi\) | |||||||
\(272\) | −4.06849 | −0.246689 | ||||||||
\(273\) | −11.3086 | − | 12.0464i | −0.684428 | − | 0.729081i | ||||
\(274\) | 2.45252 | 0.148162 | ||||||||
\(275\) | 38.2251 | − | 10.2424i | 2.30506 | − | 0.617639i | ||||
\(276\) | 2.94798 | − | 9.02842i | 0.177448 | − | 0.543447i | ||||
\(277\) | −6.13780 | + | 3.54366i | −0.368785 | + | 0.212918i | −0.672928 | − | 0.739708i | \(-0.734963\pi\) |
0.304143 | + | 0.952627i | \(0.401630\pi\) | |||||||
\(278\) | 16.6989 | − | 4.47444i | 1.00153 | − | 0.268359i | ||||
\(279\) | 3.22165 | + | 4.00206i | 0.192875 | + | 0.239597i | ||||
\(280\) | −4.66357 | − | 7.55162i | −0.278702 | − | 0.451296i | ||||
\(281\) | −7.47121 | + | 7.47121i | −0.445695 | + | 0.445695i | −0.893920 | − | 0.448226i | \(-0.852056\pi\) |
0.448226 | + | 0.893920i | \(0.352056\pi\) | |||||||
\(282\) | −3.51157 | − | 16.6392i | −0.209111 | − | 0.990847i | ||||
\(283\) | 10.1109 | − | 5.83755i | 0.601033 | − | 0.347006i | −0.168415 | − | 0.985716i | \(-0.553865\pi\) |
0.769448 | + | 0.638710i | \(0.220532\pi\) | |||||||
\(284\) | 11.8997 | + | 3.18851i | 0.706116 | + | 0.189203i | ||||
\(285\) | −2.78212 | − | 13.1827i | −0.164798 | − | 0.780878i | ||||
\(286\) | −0.168896 | + | 22.8154i | −0.00998704 | + | 1.34910i | ||||
\(287\) | 25.5279 | − | 7.65766i | 1.50687 | − | 0.452017i | ||||
\(288\) | 2.33690 | − | 1.88120i | 0.137703 | − | 0.110851i | ||||
\(289\) | 0.223679 | − | 0.387423i | 0.0131576 | − | 0.0227896i | ||||
\(290\) | −0.214182 | − | 0.370974i | −0.0125772 | − | 0.0217843i | ||||
\(291\) | 5.30999 | − | 2.69589i | 0.311277 | − | 0.158036i | ||||
\(292\) | −1.09357 | − | 4.08124i | −0.0639961 | − | 0.238837i | ||||
\(293\) | 11.5897 | − | 11.5897i | 0.677076 | − | 0.677076i | −0.282261 | − | 0.959338i | \(-0.591084\pi\) |
0.959338 | + | 0.282261i | \(0.0910845\pi\) | |||||||
\(294\) | −6.11936 | − | 10.4668i | −0.356888 | − | 0.610435i | ||||
\(295\) | −21.4835 | −1.25082 | ||||||||
\(296\) | −3.92516 | + | 6.79858i | −0.228145 | + | 0.395159i | ||||
\(297\) | 11.6501 | + | 30.7483i | 0.676006 | + | 1.78420i | ||||
\(298\) | −5.08663 | + | 2.93676i | −0.294660 | + | 0.170122i | ||||
\(299\) | 17.0483 | + | 10.0118i | 0.985926 | + | 0.578998i | ||||
\(300\) | 8.06003 | − | 7.23617i | 0.465346 | − | 0.417780i | ||||
\(301\) | 5.96561 | + | 3.21245i | 0.343852 | + | 0.185163i | ||||
\(302\) | 10.8925i | 0.626794i | ||||||||
\(303\) | −0.620618 | − | 2.94072i | −0.0356536 | − | 0.168940i | ||||
\(304\) | 2.23977 | + | 0.600144i | 0.128460 | + | 0.0344206i | ||||
\(305\) | −3.11757 | + | 11.6349i | −0.178512 | + | 0.666214i | ||||
\(306\) | −1.87442 | − | 12.0607i | −0.107153 | − | 0.689464i | ||||
\(307\) | −18.6550 | − | 18.6550i | −1.06469 | − | 1.06469i | −0.997757 | − | 0.0669373i | \(-0.978677\pi\) |
−0.0669373 | − | 0.997757i | \(-0.521323\pi\) | |||||||
\(308\) | −3.85222 | + | 16.2932i | −0.219500 | + | 0.928390i | ||||
\(309\) | 14.8012 | + | 16.4863i | 0.842009 | + | 0.937875i | ||||
\(310\) | −5.54926 | + | 1.48692i | −0.315177 | + | 0.0844513i | ||||
\(311\) | −6.40089 | − | 11.0867i | −0.362961 | − | 0.628667i | 0.625486 | − | 0.780236i | \(-0.284901\pi\) |
−0.988447 | + | 0.151569i | \(0.951568\pi\) | |||||||
\(312\) | 2.78581 | + | 5.58921i | 0.157715 | + | 0.316427i | ||||
\(313\) | −8.15974 | + | 14.1331i | −0.461216 | + | 0.798849i | −0.999022 | − | 0.0442193i | \(-0.985920\pi\) |
0.537806 | + | 0.843069i | \(0.319253\pi\) | |||||||
\(314\) | −5.27345 | − | 5.27345i | −0.297598 | − | 0.297598i | ||||
\(315\) | 20.2375 | − | 17.3039i | 1.14026 | − | 0.974964i | ||||
\(316\) | − | 6.03668i | − | 0.339590i | ||||||
\(317\) | −0.351074 | + | 0.0940699i | −0.0197183 | + | 0.00528349i | −0.268665 | − | 0.963234i | \(-0.586582\pi\) |
0.248946 | + | 0.968517i | \(0.419916\pi\) | |||||||
\(318\) | −4.79491 | + | 2.43438i | −0.268885 | + | 0.136513i | ||||
\(319\) | −0.209136 | + | 0.780507i | −0.0117094 | + | 0.0437000i | ||||
\(320\) | 0.868248 | + | 3.24035i | 0.0485365 | + | 0.181141i | ||||
\(321\) | −20.1821 | − | 22.4799i | −1.12646 | − | 1.25471i | ||||
\(322\) | 10.5579 | + | 9.95007i | 0.588370 | + | 0.554496i | ||||
\(323\) | 6.67080 | − | 6.67080i | 0.371173 | − | 0.371173i | ||||
\(324\) | 6.65329 | + | 6.06084i | 0.369627 | + | 0.336713i | ||||
\(325\) | 11.1292 | + | 19.6101i | 0.617334 | + | 1.08777i | ||||
\(326\) | −8.03428 | + | 4.63859i | −0.444977 | + | 0.256908i | ||||
\(327\) | 7.66401 | + | 4.99287i | 0.423821 | + | 0.276106i | ||||
\(328\) | −10.0734 | −0.556211 | ||||||||
\(329\) | 25.2796 | + | 5.97689i | 1.39371 | + | 0.329517i | ||||
\(330\) | −36.7153 | − | 1.97752i | −2.02111 | − | 0.108859i | ||||
\(331\) | −3.54154 | − | 13.2172i | −0.194661 | − | 0.726484i | −0.992354 | − | 0.123421i | \(-0.960613\pi\) |
0.797694 | − | 0.603063i | \(-0.206053\pi\) | |||||||
\(332\) | 0.539855 | + | 0.144654i | 0.0296284 | + | 0.00793891i | ||||
\(333\) | −21.9622 | − | 8.50359i | −1.20352 | − | 0.465994i | ||||
\(334\) | −5.55521 | + | 9.62191i | −0.303968 | + | 0.526487i | ||||
\(335\) | −10.9625 | −0.598948 | ||||||||
\(336\) | 1.07870 | + | 4.45381i | 0.0588480 | + | 0.242975i | ||||
\(337\) | 6.55986i | 0.357338i | 0.983909 | + | 0.178669i | \(0.0571792\pi\) | ||||
−0.983909 | + | 0.178669i | \(0.942821\pi\) | |||||||
\(338\) | −12.6055 | + | 3.17838i | −0.685647 | + | 0.172881i | ||||
\(339\) | 0.326131 | − | 0.998803i | 0.0177130 | − | 0.0542475i | ||||
\(340\) | 13.1833 | + | 3.53246i | 0.714966 | + | 0.191575i | ||||
\(341\) | 9.38517 | + | 5.41853i | 0.508235 | + | 0.293430i | ||||
\(342\) | −0.747180 | + | 6.91609i | −0.0404029 | + | 0.373980i | ||||
\(343\) | 18.4471 | − | 1.64418i | 0.996051 | − | 0.0887774i | ||||
\(344\) | −1.81085 | − | 1.81085i | −0.0976344 | − | 0.0976344i | ||||
\(345\) | −17.3914 | + | 26.6956i | −0.936321 | + | 1.43724i | ||||
\(346\) | 3.85776 | − | 14.3973i | 0.207394 | − | 0.774006i | ||||
\(347\) | −18.0884 | + | 10.4434i | −0.971038 | + | 0.560629i | −0.899553 | − | 0.436812i | \(-0.856107\pi\) |
−0.0714856 | + | 0.997442i | \(0.522774\pi\) | |||||||
\(348\) | 0.0456702 | + | 0.216403i | 0.00244818 | + | 0.0116004i | ||||
\(349\) | 3.21831 | + | 3.21831i | 0.172272 | + | 0.172272i | 0.787977 | − | 0.615705i | \(-0.211129\pi\) |
−0.615705 | + | 0.787977i | \(0.711129\pi\) | |||||||
\(350\) | 4.75397 | + | 15.8481i | 0.254110 | + | 0.847114i | ||||
\(351\) | −15.2853 | + | 10.8333i | −0.815867 | + | 0.578239i | ||||
\(352\) | 3.16401 | − | 5.48023i | 0.168642 | − | 0.292097i | ||||
\(353\) | 4.76936 | − | 17.7995i | 0.253848 | − | 0.947372i | −0.714880 | − | 0.699247i | \(-0.753519\pi\) |
0.968728 | − | 0.248125i | \(-0.0798145\pi\) | |||||||
\(354\) | 10.5443 | + | 3.44296i | 0.560425 | + | 0.182991i | ||||
\(355\) | −35.7907 | − | 20.6638i | −1.89957 | − | 1.09672i | ||||
\(356\) | 2.28534 | + | 2.28534i | 0.121123 | + | 0.121123i | ||||
\(357\) | 17.8870 | + | 5.25942i | 0.946679 | + | 0.278358i | ||||
\(358\) | −6.88445 | − | 6.88445i | −0.363854 | − | 0.363854i | ||||
\(359\) | −2.23711 | − | 8.34901i | −0.118070 | − | 0.440644i | 0.881428 | − | 0.472318i | \(-0.156583\pi\) |
−0.999498 | + | 0.0316744i | \(0.989916\pi\) | |||||||
\(360\) | −9.20571 | + | 4.06672i | −0.485183 | + | 0.214335i | ||||
\(361\) | 11.7981 | − | 6.81163i | 0.620952 | − | 0.358507i | ||||
\(362\) | 0.106918 | + | 0.399022i | 0.00561947 | + | 0.0209721i | ||||
\(363\) | 33.6067 | + | 37.4330i | 1.76389 | + | 1.96472i | ||||
\(364\) | −9.53704 | + | 0.212033i | −0.499876 | + | 0.0111135i | ||||
\(365\) | 14.1741i | 0.741907i | ||||||||
\(366\) | 3.39476 | − | 5.21093i | 0.177447 | − | 0.272380i | ||||
\(367\) | 12.2707 | + | 21.2535i | 0.640527 | + | 1.10943i | 0.985315 | + | 0.170745i | \(0.0546174\pi\) |
−0.344788 | + | 0.938680i | \(0.612049\pi\) | |||||||
\(368\) | −2.74170 | − | 4.74876i | −0.142921 | − | 0.247546i | ||||
\(369\) | −4.64097 | − | 29.8617i | −0.241599 | − | 1.55454i | ||||
\(370\) | 18.6217 | − | 18.6217i | 0.968098 | − | 0.968098i | ||||
\(371\) | −0.243365 | − | 8.21064i | −0.0126349 | − | 0.426275i | ||||
\(372\) | 2.96193 | + | 0.159532i | 0.153569 | + | 0.00827135i | ||||
\(373\) | 0.647930 | − | 1.12225i | 0.0335485 | − | 0.0581078i | −0.848764 | − | 0.528772i | \(-0.822652\pi\) |
0.882312 | + | 0.470665i | \(0.155986\pi\) | |||||||
\(374\) | −12.8728 | − | 22.2963i | −0.665635 | − | 1.15291i | ||||
\(375\) | −6.49534 | + | 3.29770i | −0.335418 | + | 0.170292i | ||||
\(376\) | −8.50283 | − | 4.90911i | −0.438500 | − | 0.253168i | ||||
\(377\) | −0.460389 | − | 0.00340814i | −0.0237112 | − | 0.000175528i | ||||
\(378\) | −12.7059 | + | 5.24965i | −0.653523 | + | 0.270013i | ||||
\(379\) | −20.8376 | + | 20.8376i | −1.07035 | + | 1.07035i | −0.0730241 | + | 0.997330i | \(0.523265\pi\) |
−0.997330 | + | 0.0730241i | \(0.976735\pi\) | |||||||
\(380\) | −6.73655 | − | 3.88935i | −0.345578 | − | 0.199519i | ||||
\(381\) | 11.0271 | − | 33.7714i | 0.564937 | − | 1.73016i | ||||
\(382\) | −23.4872 | − | 6.29337i | −1.20171 | − | 0.321997i | ||||
\(383\) | 8.85758 | − | 2.37338i | 0.452601 | − | 0.121274i | −0.0253151 | − | 0.999680i | \(-0.508059\pi\) |
0.477916 | + | 0.878405i | \(0.341392\pi\) | |||||||
\(384\) | 0.0931546 | − | 1.72954i | 0.00475378 | − | 0.0882604i | ||||
\(385\) | 26.6290 | − | 49.4508i | 1.35714 | − | 2.52025i | ||||
\(386\) | − | 0.871878i | − | 0.0443774i | ||||||
\(387\) | 4.53382 | − | 6.20238i | 0.230467 | − | 0.315285i | ||||
\(388\) | 0.889874 | − | 3.32105i | 0.0451765 | − | 0.168601i | ||||
\(389\) | 17.7461 | + | 30.7371i | 0.899761 | + | 1.55843i | 0.827799 | + | 0.561025i | \(0.189593\pi\) |
0.0719626 | + | 0.997407i | \(0.477074\pi\) | |||||||
\(390\) | −4.17415 | − | 20.5298i | −0.211367 | − | 1.03956i | ||||
\(391\) | −22.3092 | −1.12822 | ||||||||
\(392\) | −6.85692 | − | 1.40808i | −0.346327 | − | 0.0711189i | ||||
\(393\) | 4.46073 | + | 4.96860i | 0.225014 | + | 0.250633i | ||||
\(394\) | 4.10326 | + | 2.36902i | 0.206719 | + | 0.119349i | ||||
\(395\) | −5.24134 | + | 19.5609i | −0.263720 | + | 0.984217i | ||||
\(396\) | 17.7034 | + | 6.85461i | 0.889627 | + | 0.344457i | ||||
\(397\) | 32.5233 | − | 8.71460i | 1.63230 | − | 0.437373i | 0.677718 | − | 0.735322i | \(-0.262969\pi\) |
0.954582 | + | 0.297949i | \(0.0963026\pi\) | |||||||
\(398\) | −16.1151 | + | 16.1151i | −0.807778 | + | 0.807778i | ||||
\(399\) | −9.07124 | − | 5.53391i | −0.454130 | − | 0.277042i | ||||
\(400\) | − | 6.25370i | − | 0.312685i | ||||||
\(401\) | 3.88669 | + | 14.5053i | 0.194092 | + | 0.724362i | 0.992500 | + | 0.122245i | \(0.0390093\pi\) |
−0.798408 | + | 0.602117i | \(0.794324\pi\) | |||||||
\(402\) | 5.38054 | + | 1.75687i | 0.268357 | + | 0.0876245i | ||||
\(403\) | −1.64223 | + | 5.95230i | −0.0818055 | + | 0.296505i | ||||
\(404\) | −1.50275 | − | 0.867612i | −0.0747645 | − | 0.0431653i | ||||
\(405\) | −16.2966 | − | 25.4159i | −0.809787 | − | 1.26293i | ||||
\(406\) | −0.328778 | − | 0.0777334i | −0.0163170 | − | 0.00385784i | ||||
\(407\) | −49.6770 | −2.46240 | ||||||||
\(408\) | −5.90441 | − | 3.84654i | −0.292312 | − | 0.190432i | ||||
\(409\) | −27.2465 | − | 7.30067i | −1.34725 | − | 0.360995i | −0.488131 | − | 0.872770i | \(-0.662321\pi\) |
−0.859119 | + | 0.511775i | \(0.828988\pi\) | |||||||
\(410\) | 32.6413 | + | 8.74622i | 1.61204 | + | 0.431945i | ||||
\(411\) | 3.55922 | + | 2.31872i | 0.175563 | + | 0.114374i | ||||
\(412\) | 12.7916 | 0.630196 | ||||||||
\(413\) | −11.6207 | + | 12.3307i | −0.571819 | + | 0.606752i | ||||
\(414\) | 12.8141 | − | 10.3154i | 0.629781 | − | 0.506972i | ||||
\(415\) | −1.62372 | − | 0.937456i | −0.0797054 | − | 0.0460179i | ||||
\(416\) | 3.47569 | + | 0.958941i | 0.170410 | + | 0.0470159i | ||||
\(417\) | 28.4646 | + | 9.29432i | 1.39392 | + | 0.455145i | ||||
\(418\) | 3.79773 | + | 14.1733i | 0.185753 | + | 0.693239i | ||||
\(419\) | 22.9443i | 1.12090i | 0.828187 | + | 0.560451i | \(0.189372\pi\) | ||||
−0.828187 | + | 0.560451i | \(0.810628\pi\) | |||||||
\(420\) | 0.371641 | − | 15.3685i | 0.0181342 | − | 0.749904i | ||||
\(421\) | −17.8994 | + | 17.8994i | −0.872363 | + | 0.872363i | −0.992729 | − | 0.120367i | \(-0.961593\pi\) |
0.120367 | + | 0.992729i | \(0.461593\pi\) | |||||||
\(422\) | 13.2518 | − | 3.55080i | 0.645085 | − | 0.172850i | ||||
\(423\) | 10.6353 | − | 27.4676i | 0.517104 | − | 1.33552i | ||||
\(424\) | −0.803554 | + | 2.99890i | −0.0390240 | + | 0.145640i | ||||
\(425\) | −22.0344 | − | 12.7216i | −1.06883 | − | 0.617087i | ||||
\(426\) | 14.2549 | + | 15.8778i | 0.690651 | + | 0.769284i | ||||
\(427\) | 4.99164 | + | 8.08286i | 0.241562 | + | 0.391157i | ||||
\(428\) | −17.4419 | −0.843088 | ||||||||
\(429\) | −21.8158 | + | 32.9512i | −1.05328 | + | 1.59090i | ||||
\(430\) | 4.29551 | + | 7.44004i | 0.207148 | + | 0.358791i | ||||
\(431\) | 2.78931 | − | 10.4099i | 0.134356 | − | 0.501425i | −0.865643 | − | 0.500661i | \(-0.833090\pi\) |
1.00000 | 0.000763751i | \(-0.000243109\pi\) | ||||||||
\(432\) | 5.17000 | − | 0.520678i | 0.248742 | − | 0.0250511i | ||||
\(433\) | 30.1662i | 1.44970i | 0.688909 | + | 0.724848i | \(0.258090\pi\) | ||||
−0.688909 | + | 0.724848i | \(0.741910\pi\) | |||||||
\(434\) | −2.14824 | + | 3.98934i | −0.103119 | + | 0.191495i | ||||
\(435\) | 0.0399040 | − | 0.740874i | 0.00191325 | − | 0.0355222i | ||||
\(436\) | 5.10102 | − | 1.36681i | 0.244294 | − | 0.0654585i | ||||
\(437\) | 12.2815 | + | 3.29083i | 0.587506 | + | 0.157422i | ||||
\(438\) | 2.27156 | − | 6.95682i | 0.108539 | − | 0.332410i | ||||
\(439\) | 25.2577 | + | 14.5825i | 1.20548 | + | 0.695986i | 0.961769 | − | 0.273861i | \(-0.0883007\pi\) |
0.243714 | + | 0.969847i | \(0.421634\pi\) | |||||||
\(440\) | −15.0107 | + | 15.0107i | −0.715606 | + | 0.715606i | ||||
\(441\) | 1.01505 | − | 20.9755i | 0.0483358 | − | 0.998831i | ||||
\(442\) | 10.4492 | − | 10.2956i | 0.497016 | − | 0.489712i | ||||
\(443\) | 12.2531 | + | 7.07436i | 0.582165 | + | 0.336113i | 0.761993 | − | 0.647585i | \(-0.224221\pi\) |
−0.179828 | + | 0.983698i | \(0.557554\pi\) | |||||||
\(444\) | −12.1241 | + | 6.15542i | −0.575384 | + | 0.292123i | ||||
\(445\) | −5.42106 | − | 9.38955i | −0.256983 | − | 0.445107i | ||||
\(446\) | −2.88200 | + | 4.99176i | −0.136466 | + | 0.236367i | ||||
\(447\) | −10.1585 | − | 0.547147i | −0.480482 | − | 0.0258791i | ||||
\(448\) | 2.32948 | + | 1.25441i | 0.110057 | + | 0.0592653i | ||||
\(449\) | −16.7895 | + | 16.7895i | −0.792348 | + | 0.792348i | −0.981875 | − | 0.189528i | \(-0.939304\pi\) |
0.189528 | + | 0.981875i | \(0.439304\pi\) | |||||||
\(450\) | 18.5385 | − | 2.88117i | 0.873915 | − | 0.135820i | ||||
\(451\) | −31.8724 | − | 55.2046i | −1.50081 | − | 2.59948i | ||||
\(452\) | −0.303311 | − | 0.525349i | −0.0142665 | − | 0.0247104i | ||||
\(453\) | −10.2983 | + | 15.8078i | −0.483856 | + | 0.742715i | ||||
\(454\) | 17.0521i | 0.800295i | ||||||||
\(455\) | 31.0874 | + | 7.59345i | 1.45740 | + | 0.355987i | ||||
\(456\) | 2.68306 | + | 2.98854i | 0.125646 | + | 0.139951i | ||||
\(457\) | −9.97842 | − | 37.2400i | −0.466771 | − | 1.74201i | −0.650950 | − | 0.759120i | \(-0.725629\pi\) |
0.184179 | − | 0.982893i | \(-0.441037\pi\) | |||||||
\(458\) | 8.60563 | − | 4.96846i | 0.402115 | − | 0.232161i | ||||
\(459\) | 8.68249 | − | 19.2753i | 0.405264 | − | 0.899692i | ||||
\(460\) | 4.76095 | + | 17.7681i | 0.221980 | + | 0.828442i | ||||
\(461\) | 2.27891 | + | 2.27891i | 0.106140 | + | 0.106140i | 0.758182 | − | 0.652043i | \(-0.226088\pi\) |
−0.652043 | + | 0.758182i | \(0.726088\pi\) | |||||||
\(462\) | −20.9949 | + | 20.0034i | −0.976769 | + | 0.930644i | ||||
\(463\) | 10.4036 | + | 10.4036i | 0.483497 | + | 0.483497i | 0.906247 | − | 0.422749i | \(-0.138935\pi\) |
−0.422749 | + | 0.906247i | \(0.638935\pi\) | |||||||
\(464\) | 0.110585 | + | 0.0638462i | 0.00513377 | + | 0.00296398i | ||||
\(465\) | −9.45917 | − | 3.08863i | −0.438659 | − | 0.143232i | ||||
\(466\) | 4.75860 | − | 17.7593i | 0.220438 | − | 0.822685i | ||||
\(467\) | 0.964739 | − | 1.67098i | 0.0446428 | − | 0.0773236i | −0.842841 | − | 0.538163i | \(-0.819118\pi\) |
0.887483 | + | 0.460840i | \(0.152452\pi\) | |||||||
\(468\) | −1.24139 | + | 10.7452i | −0.0573834 | + | 0.496696i | ||||
\(469\) | −5.92980 | + | 6.29206i | −0.273813 | + | 0.290540i | ||||
\(470\) | 23.2898 | + | 23.2898i | 1.07428 | + | 1.07428i | ||||
\(471\) | −2.66734 | − | 12.6389i | −0.122905 | − | 0.582369i | ||||
\(472\) | 5.54610 | − | 3.20204i | 0.255280 | − | 0.147386i | ||||
\(473\) | 4.19432 | − | 15.6534i | 0.192855 | − | 0.719744i | ||||
\(474\) | 5.70736 | − | 8.76074i | 0.262148 | − | 0.402394i | ||||
\(475\) | 10.2537 | + | 10.2537i | 0.470473 | + | 0.470473i | ||||
\(476\) | 9.15854 | − | 5.65594i | 0.419781 | − | 0.259239i | ||||
\(477\) | −9.26020 | − | 1.00043i | −0.423995 | − | 0.0458063i | ||||
\(478\) | −3.77043 | − | 2.17686i | −0.172455 | − | 0.0995672i | ||||
\(479\) | −4.55727 | − | 1.22112i | −0.208227 | − | 0.0557942i | 0.153198 | − | 0.988196i | \(-0.451043\pi\) |
−0.361425 | + | 0.932401i | \(0.617710\pi\) | |||||||
\(480\) | −1.80353 | + | 5.52344i | −0.0823193 | + | 0.252109i | ||||
\(481\) | −7.12322 | − | 27.3938i | −0.324791 | − | 1.24905i | ||||
\(482\) | 17.8381i | 0.812505i | ||||||||
\(483\) | 5.91496 | + | 24.4220i | 0.269140 | + | 1.11124i | ||||
\(484\) | 29.0439 | 1.32018 | ||||||||
\(485\) | −5.76700 | + | 9.98873i | −0.261866 | + | 0.453565i | ||||
\(486\) | 3.92540 | + | 15.0861i | 0.178060 | + | 0.684321i | ||||
\(487\) | −16.5087 | − | 4.42349i | −0.748081 | − | 0.200448i | −0.135414 | − | 0.990789i | \(-0.543236\pi\) |
−0.612667 | + | 0.790342i | \(0.709903\pi\) | |||||||
\(488\) | −0.929327 | − | 3.46830i | −0.0420687 | − | 0.157002i | ||||
\(489\) | −16.0453 | − | 0.864212i | −0.725593 | − | 0.0390810i | ||||
\(490\) | 20.9962 | + | 10.5162i | 0.948512 | + | 0.475072i | ||||
\(491\) | 24.8371 | 1.12088 | 0.560442 | − | 0.828194i | \(-0.310631\pi\) | ||||
0.560442 | + | 0.828194i | \(0.310631\pi\) | |||||||
\(492\) | −14.6191 | − | 9.52387i | −0.659078 | − | 0.429369i | ||||
\(493\) | 0.449914 | − | 0.259758i | 0.0202631 | − | 0.0116989i | ||||
\(494\) | −7.27113 | + | 4.12653i | −0.327144 | + | 0.185661i | ||||
\(495\) | −51.4135 | − | 37.5822i | −2.31087 | − | 1.68920i | ||||
\(496\) | 1.21096 | − | 1.21096i | 0.0543735 | − | 0.0543735i | ||||
\(497\) | −31.2199 | + | 9.36507i | −1.40040 | + | 0.420081i | ||||
\(498\) | 0.646703 | + | 0.720333i | 0.0289795 | + | 0.0322789i | ||||
\(499\) | 7.15652 | + | 26.7085i | 0.320370 | + | 1.19564i | 0.918885 | + | 0.394525i | \(0.129091\pi\) |
−0.598516 | + | 0.801111i | \(0.704243\pi\) | |||||||
\(500\) | −1.08852 | + | 4.06241i | −0.0486801 | + | 0.181677i | ||||
\(501\) | −17.1590 | + | 8.71166i | −0.766608 | + | 0.389208i | ||||
\(502\) | −24.5016 | + | 6.56519i | −1.09356 | + | 0.293019i | ||||
\(503\) | − | 27.6359i | − | 1.23222i | −0.787658 | − | 0.616112i | \(-0.788707\pi\) | ||
0.787658 | − | 0.616112i | \(-0.211293\pi\) | |||||||
\(504\) | −2.64537 | + | 7.48345i | −0.117834 | + | 0.333339i | ||||
\(505\) | 4.11612 | + | 4.11612i | 0.183165 | + | 0.183165i | ||||
\(506\) | 17.3495 | − | 30.0503i | 0.771281 | − | 1.33590i | ||||
\(507\) | −21.2987 | − | 7.30517i | −0.945908 | − | 0.324434i | ||||
\(508\) | −10.2555 | − | 17.7631i | −0.455015 | − | 0.788109i | ||||
\(509\) | −3.42423 | + | 0.917520i | −0.151776 | + | 0.0406684i | −0.333907 | − | 0.942606i | \(-0.608367\pi\) |
0.182131 | + | 0.983274i | \(0.441701\pi\) | |||||||
\(510\) | 15.7926 | + | 17.5906i | 0.699307 | + | 0.778926i | ||||
\(511\) | 8.13537 | + | 7.66699i | 0.359888 | + | 0.339167i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −7.62314 | + | 9.33057i | −0.336570 | + | 0.411955i | ||||
\(514\) | −5.85115 | + | 21.8368i | −0.258083 | + | 0.963179i | ||||
\(515\) | −41.4492 | − | 11.1063i | −1.82647 | − | 0.489401i | ||||
\(516\) | −0.915937 | − | 4.34006i | −0.0403219 | − | 0.191060i | ||||
\(517\) | − | 62.1299i | − | 2.73247i | ||||||
\(518\) | −0.615356 | − | 20.7609i | −0.0270372 | − | 0.912181i | ||||
\(519\) | 19.2105 | − | 17.2469i | 0.843247 | − | 0.757054i | ||||
\(520\) | −10.4298 | − | 6.12506i | −0.457379 | − | 0.268602i | ||||
\(521\) | −4.31187 | + | 2.48946i | −0.188906 | + | 0.109065i | −0.591471 | − | 0.806327i | \(-0.701452\pi\) |
0.402564 | + | 0.915392i | \(0.368119\pi\) | |||||||
\(522\) | −0.138318 | + | 0.357234i | −0.00605403 | + | 0.0156357i | ||||
\(523\) | −0.204767 | + | 0.354667i | −0.00895385 | + | 0.0155085i | −0.870468 | − | 0.492226i | \(-0.836183\pi\) |
0.861514 | + | 0.507734i | \(0.169517\pi\) | |||||||
\(524\) | 3.85509 | 0.168410 | ||||||||
\(525\) | −8.08428 | + | 27.4941i | −0.352827 | + | 1.19994i | ||||
\(526\) | −13.3084 | + | 13.3084i | −0.580272 | + | 0.580272i | ||||
\(527\) | −1.80332 | − | 6.73009i | −0.0785540 | − | 0.293167i | ||||
\(528\) | 9.77304 | − | 4.96179i | 0.425317 | − | 0.215934i | ||||
\(529\) | −3.53383 | − | 6.12077i | −0.153645 | − | 0.266121i | ||||
\(530\) | 5.20758 | − | 9.01980i | 0.226203 | − | 0.391795i | ||||
\(531\) | 12.0474 | + | 14.9657i | 0.522810 | + | 0.649456i | ||||
\(532\) | −5.87623 | + | 1.76270i | −0.254767 | + | 0.0764228i | ||||
\(533\) | 25.8717 | − | 25.4914i | 1.12063 | − | 1.10416i | ||||
\(534\) | 1.15594 | + | 5.47728i | 0.0500224 | + | 0.237025i | ||||
\(535\) | 56.5179 | + | 15.1439i | 2.44348 | + | 0.654730i | ||||
\(536\) | 2.83005 | − | 1.63393i | 0.122240 | − | 0.0705751i | ||||
\(537\) | −3.48219 | − | 16.4999i | −0.150268 | − | 0.712025i | ||||
\(538\) | 3.67262 | − | 3.67262i | 0.158338 | − | 0.158338i | ||||
\(539\) | −13.9787 | − | 42.0326i | −0.602107 | − | 1.81047i | ||||
\(540\) | −17.2047 | − | 2.80167i | −0.740371 | − | 0.120565i | ||||
\(541\) | −29.7273 | + | 7.96540i | −1.27807 | + | 0.342459i | −0.833119 | − | 0.553094i | \(-0.813447\pi\) |
−0.444956 | + | 0.895553i | \(0.646781\pi\) | |||||||
\(542\) | −3.76740 | + | 2.17511i | −0.161824 | + | 0.0934290i | ||||
\(543\) | −0.222090 | + | 0.680166i | −0.00953077 | + | 0.0291887i | ||||
\(544\) | −3.92986 | + | 1.05300i | −0.168492 | + | 0.0451472i | ||||
\(545\) | −17.7158 | −0.758862 | ||||||||
\(546\) | −14.0411 | − | 8.70904i | −0.600904 | − | 0.372713i | ||||
\(547\) | 11.8216 | 0.505453 | 0.252727 | − | 0.967538i | \(-0.418673\pi\) | ||||
0.252727 | + | 0.967538i | \(0.418673\pi\) | |||||||
\(548\) | 2.36895 | − | 0.634758i | 0.101197 | − | 0.0271155i | ||||
\(549\) | 9.85330 | − | 4.35280i | 0.420529 | − | 0.185773i | ||||
\(550\) | 34.2717 | − | 19.7868i | 1.46135 | − | 0.843711i | ||||
\(551\) | −0.286001 | + | 0.0766338i | −0.0121841 | + | 0.00326471i | ||||
\(552\) | 0.510804 | − | 9.48378i | 0.0217413 | − | 0.403656i | ||||
\(553\) | 8.39207 | + | 13.5891i | 0.356867 | + | 0.577867i | ||||
\(554\) | −5.01150 | + | 5.01150i | −0.212918 | + | 0.212918i | ||||
\(555\) | 44.6307 | − | 9.41897i | 1.89447 | − | 0.399813i | ||||
\(556\) | 14.9718 | − | 8.64396i | 0.634945 | − | 0.366586i | ||||
\(557\) | −10.5106 | − | 2.81630i | −0.445347 | − | 0.119330i | 0.0291745 | − | 0.999574i | \(-0.490712\pi\) |
−0.474521 | + | 0.880244i | \(0.657379\pi\) | |||||||
\(558\) | 4.14768 | + | 3.03187i | 0.175585 | + | 0.128349i | ||||
\(559\) | 9.23330 | + | 0.0683516i | 0.390527 | + | 0.00289097i | ||||
\(560\) | −6.45917 | − | 6.08729i | −0.272950 | − | 0.257235i | ||||
\(561\) | 2.39831 | − | 44.5280i | 0.101257 | − | 1.87997i | ||||
\(562\) | −5.28294 | + | 9.15032i | −0.222847 | + | 0.385983i | ||||
\(563\) | 10.7017 | + | 18.5359i | 0.451024 | + | 0.781196i | 0.998450 | − | 0.0556577i | \(-0.0177256\pi\) |
−0.547426 | + | 0.836854i | \(0.684392\pi\) | |||||||
\(564\) | −7.69845 | − | 15.1633i | −0.324163 | − | 0.638491i | ||||
\(565\) | 0.526698 | + | 1.96566i | 0.0221583 | + | 0.0826961i | ||||
\(566\) | 8.25554 | − | 8.25554i | 0.347006 | − | 0.347006i | ||||
\(567\) | −23.4028 | − | 4.39422i | −0.982825 | − | 0.184540i | ||||
\(568\) | 12.3195 | 0.516913 | ||||||||
\(569\) | 6.50476 | − | 11.2666i | 0.272694 | − | 0.472319i | −0.696857 | − | 0.717210i | \(-0.745419\pi\) |
0.969551 | + | 0.244891i | \(0.0787521\pi\) | |||||||
\(570\) | −6.09926 | − | 12.0135i | −0.255470 | − | 0.503189i | ||||
\(571\) | −30.0569 | + | 17.3534i | −1.25784 | + | 0.726216i | −0.972655 | − | 0.232256i | \(-0.925389\pi\) |
−0.285188 | + | 0.958472i | \(0.592056\pi\) | |||||||
\(572\) | 5.74191 | + | 22.0817i | 0.240081 | + | 0.923281i | ||||
\(573\) | −28.1357 | − | 31.3391i | −1.17539 | − | 1.30921i | ||||
\(574\) | 22.6761 | − | 14.0038i | 0.946484 | − | 0.584509i | ||||
\(575\) | − | 34.2915i | − | 1.43006i | ||||||
\(576\) | 1.77038 | − | 2.42193i | 0.0737659 | − | 0.100914i | ||||
\(577\) | −39.1973 | − | 10.5029i | −1.63180 | − | 0.437240i | −0.677364 | − | 0.735648i | \(-0.736878\pi\) |
−0.954439 | + | 0.298407i | \(0.903545\pi\) | |||||||
\(578\) | 0.115785 | − | 0.432114i | 0.00481600 | − | 0.0179736i | ||||
\(579\) | 0.824314 | − | 1.26531i | 0.0342573 | − | 0.0525847i | ||||
\(580\) | −0.302899 | − | 0.302899i | −0.0125772 | − | 0.0125772i | ||||
\(581\) | −1.41636 | + | 0.424867i | −0.0587604 | + | 0.0176265i | ||||
\(582\) | 4.43131 | − | 3.97836i | 0.183684 | − | 0.164908i | ||||
\(583\) | −18.9771 | + | 5.08491i | −0.785952 | + | 0.210595i | ||||
\(584\) | −2.11261 | − | 3.65914i | −0.0874203 | − | 0.151416i | ||||
\(585\) | 13.3520 | − | 33.7403i | 0.552038 | − | 1.39499i | ||||
\(586\) | 8.19514 | − | 14.1944i | 0.338538 | − | 0.586365i | ||||
\(587\) | −11.6106 | − | 11.6106i | −0.479223 | − | 0.479223i | 0.425660 | − | 0.904883i | \(-0.360042\pi\) |
−0.904883 | + | 0.425660i | \(0.860042\pi\) | |||||||
\(588\) | −8.61985 | − | 8.52633i | −0.355476 | − | 0.351620i | ||||
\(589\) | 3.97103i | 0.163623i | ||||||||
\(590\) | −20.7515 | + | 5.56034i | −0.854324 | + | 0.228915i | ||||
\(591\) | 3.71509 | + | 7.31746i | 0.152818 | + | 0.301000i | ||||
\(592\) | −2.03181 | + | 7.58283i | −0.0835070 | + | 0.311652i | ||||
\(593\) | −9.64729 | − | 36.0042i | −0.396167 | − | 1.47851i | −0.819784 | − | 0.572673i | \(-0.805906\pi\) |
0.423617 | − | 0.905841i | \(-0.360760\pi\) | |||||||
\(594\) | 19.2114 | + | 26.6853i | 0.788252 | + | 1.09491i | ||||
\(595\) | −34.5876 | + | 10.3753i | −1.41795 | + | 0.425346i | ||||
\(596\) | −4.15321 | + | 4.15321i | −0.170122 | + | 0.170122i | ||||
\(597\) | −38.6231 | + | 8.15111i | −1.58074 | + | 0.333603i | ||||
\(598\) | 19.0586 | + | 5.25825i | 0.779364 | + | 0.215026i | ||||
\(599\) | 36.8375 | − | 21.2681i | 1.50514 | − | 0.868993i | 0.505157 | − | 0.863027i | \(-0.331435\pi\) |
0.999982 | − | 0.00596522i | \(-0.00189880\pi\) | |||||||
\(600\) | 5.91254 | − | 9.07569i | 0.241378 | − | 0.370513i | ||||
\(601\) | −16.3118 | −0.665372 | −0.332686 | − | 0.943038i | \(-0.607955\pi\) | ||||
−0.332686 | + | 0.943038i | \(0.607955\pi\) | |||||||
\(602\) | 6.59378 | + | 1.55898i | 0.268743 | + | 0.0635391i | ||||
\(603\) | 6.14749 | + | 7.63666i | 0.250345 | + | 0.310989i | ||||
\(604\) | 2.81919 | + | 10.5214i | 0.114711 | + | 0.428108i | ||||
\(605\) | −94.1122 | − | 25.2173i | −3.82620 | − | 1.02523i | ||||
\(606\) | −1.36059 | − | 2.67989i | −0.0552700 | − | 0.108863i | ||||
\(607\) | −1.43203 | + | 2.48035i | −0.0581243 | + | 0.100674i | −0.893623 | − | 0.448818i | \(-0.851845\pi\) |
0.835499 | + | 0.549492i | \(0.185179\pi\) | |||||||
\(608\) | 2.31878 | 0.0940389 | ||||||||
\(609\) | −0.403647 | − | 0.423652i | −0.0163566 | − | 0.0171673i | ||||
\(610\) | 12.0454i | 0.487703i | ||||||||
\(611\) | 34.2608 | − | 8.90885i | 1.38604 | − | 0.360413i | ||||
\(612\) | −4.93208 | − | 11.1646i | −0.199368 | − | 0.451302i | ||||
\(613\) | −19.0273 | − | 5.09834i | −0.768504 | − | 0.205920i | −0.146794 | − | 0.989167i | \(-0.546895\pi\) |
−0.621711 | + | 0.783247i | \(0.713562\pi\) | |||||||
\(614\) | −22.8476 | − | 13.1910i | −0.922052 | − | 0.532347i | ||||
\(615\) | 39.1017 | + | 43.5536i | 1.57673 | + | 1.75625i | ||||
\(616\) | 0.496029 | + | 16.7350i | 0.0199856 | + | 0.674273i | ||||
\(617\) | −24.8368 | − | 24.8368i | −0.999893 | − | 0.999893i | 0.000106988 | − | 1.00000i | \(-0.499966\pi\) |
−1.00000 | 0.000106988i | \(0.999966\pi\) | ||||||||
\(618\) | 18.5638 | + | 12.0938i | 0.746746 | + | 0.486482i | ||||
\(619\) | 10.4779 | − | 39.1040i | 0.421142 | − | 1.57172i | −0.351063 | − | 0.936352i | \(-0.614180\pi\) |
0.772206 | − | 0.635373i | \(-0.219153\pi\) | |||||||
\(620\) | −4.97533 | + | 2.87251i | −0.199814 | + | 0.115363i | ||||
\(621\) | 28.3492 | − | 2.85508i | 1.13761 | − | 0.114571i | ||||
\(622\) | −9.05222 | − | 9.05222i | −0.362961 | − | 0.362961i | ||||
\(623\) | −8.32155 | − | 1.96747i | −0.333396 | − | 0.0788252i | ||||
\(624\) | 4.13748 | + | 4.67774i | 0.165632 | + | 0.187260i | ||||
\(625\) | −8.57988 | + | 14.8608i | −0.343195 | + | 0.594431i | ||||
\(626\) | −4.22379 | + | 15.7634i | −0.168817 | + | 0.630033i | ||||
\(627\) | −7.88864 | + | 24.1596i | −0.315042 | + | 0.964841i | ||||
\(628\) | −6.45864 | − | 3.72889i | −0.257728 | − | 0.148799i | ||||
\(629\) | 22.5843 | + | 22.5843i | 0.900494 | + | 0.900494i | ||||
\(630\) | 15.0694 | − | 21.9521i | 0.600379 | − | 0.874594i | ||||
\(631\) | −12.0035 | − | 12.0035i | −0.477850 | − | 0.477850i | 0.426593 | − | 0.904444i | \(-0.359714\pi\) |
−0.904444 | + | 0.426593i | \(0.859714\pi\) | |||||||
\(632\) | −1.56241 | − | 5.83099i | −0.0621492 | − | 0.231944i | ||||
\(633\) | 22.5887 | + | 7.37572i | 0.897821 | + | 0.293159i | ||||
\(634\) | −0.314764 | + | 0.181729i | −0.0125009 | + | 0.00721738i | ||||
\(635\) | 17.8087 | + | 66.4628i | 0.706715 | + | 2.63750i | ||||
\(636\) | −4.00146 | + | 3.59245i | −0.158668 | + | 0.142450i | ||||
\(637\) | 21.1740 | − | 13.7355i | 0.838943 | − | 0.544220i | ||||
\(638\) | 0.808040i | 0.0319906i | ||||||||
\(639\) | 5.67576 | + | 36.5200i | 0.224530 | + | 1.44471i | ||||
\(640\) | 1.67733 | + | 2.90521i | 0.0663022 | + | 0.114839i | ||||
\(641\) | 12.8018 | + | 22.1734i | 0.505641 | + | 0.875795i | 0.999979 | + | 0.00652568i | \(0.00207720\pi\) |
−0.494338 | + | 0.869270i | \(0.664589\pi\) | |||||||
\(642\) | −25.3127 | − | 16.4904i | −0.999011 | − | 0.650825i | ||||
\(643\) | 0.384715 | − | 0.384715i | 0.0151717 | − | 0.0151717i | −0.699480 | − | 0.714652i | \(-0.746585\pi\) |
0.714652 | + | 0.699480i | \(0.246585\pi\) | |||||||
\(644\) | 12.7734 | + | 6.87843i | 0.503344 | + | 0.271048i | ||||
\(645\) | −0.800293 | + | 14.8585i | −0.0315115 | + | 0.585055i | ||||
\(646\) | 4.71697 | − | 8.17003i | 0.185587 | − | 0.321446i | ||||
\(647\) | −0.186170 | − | 0.322457i | −0.00731911 | − | 0.0126771i | 0.862343 | − | 0.506325i | \(-0.168996\pi\) |
−0.869662 | + | 0.493648i | \(0.835663\pi\) | |||||||
\(648\) | 7.99524 | + | 4.13232i | 0.314083 | + | 0.162333i | ||||
\(649\) | 35.0959 | + | 20.2626i | 1.37763 | + | 0.795377i | ||||
\(650\) | 15.8254 | + | 16.0615i | 0.620723 | + | 0.629982i | ||||
\(651\) | −6.88935 | + | 3.75850i | −0.270015 | + | 0.147307i | ||||
\(652\) | −6.55996 | + | 6.55996i | −0.256908 | + | 0.256908i | ||||
\(653\) | 6.47137 | + | 3.73625i | 0.253244 | + | 0.146211i | 0.621249 | − | 0.783613i | \(-0.286626\pi\) |
−0.368005 | + | 0.929824i | \(0.619959\pi\) | |||||||
\(654\) | 8.69511 | + | 2.83915i | 0.340006 | + | 0.111019i | ||||
\(655\) | −12.4918 | − | 3.34717i | −0.488096 | − | 0.130785i | ||||
\(656\) | −9.73017 | + | 2.60719i | −0.379899 | + | 0.101794i | ||||
\(657\) | 9.87389 | − | 7.94846i | 0.385217 | − | 0.310099i | ||||
\(658\) | 25.9652 | − | 0.769612i | 1.01223 | − | 0.0300026i | ||||
\(659\) | 32.4190i | 1.26286i | 0.775431 | + | 0.631432i | \(0.217532\pi\) | ||||
−0.775431 | + | 0.631432i | \(0.782468\pi\) | |||||||
\(660\) | −35.9761 | + | 7.59249i | −1.40037 | + | 0.295537i | ||||
\(661\) | 5.61492 | − | 20.9552i | 0.218395 | − | 0.815061i | −0.766549 | − | 0.642186i | \(-0.778028\pi\) |
0.984944 | − | 0.172875i | \(-0.0553057\pi\) | |||||||
\(662\) | −6.84173 | − | 11.8502i | −0.265911 | − | 0.460572i | ||||
\(663\) | 24.8983 | − | 5.06238i | 0.966970 | − | 0.196606i | ||||
\(664\) | 0.558899 | 0.0216895 | ||||||||
\(665\) | 20.5715 | − | 0.609742i | 0.797727 | − | 0.0236448i | ||||
\(666\) | −23.4147 | − | 2.52961i | −0.907302 | − | 0.0980204i | ||||
\(667\) | 0.606381 | + | 0.350094i | 0.0234792 | + | 0.0135557i | ||||
\(668\) | −2.87559 | + | 10.7318i | −0.111260 | + | 0.415228i | ||||
\(669\) | −8.90194 | + | 4.51953i | −0.344169 | + | 0.174735i | ||||
\(670\) | −10.5890 | + | 2.83732i | −0.409089 | + | 0.109615i | ||||
\(671\) | 16.0666 | − | 16.0666i | 0.620246 | − | 0.620246i | ||||
\(672\) | 2.19468 | + | 4.02286i | 0.0846615 | + | 0.155185i | ||||
\(673\) | 22.3366i | 0.861014i | 0.902587 | + | 0.430507i | \(0.141665\pi\) | ||||
−0.902587 | + | 0.430507i | \(0.858335\pi\) | |||||||
\(674\) | 1.69782 | + | 6.33634i | 0.0653975 | + | 0.244067i | ||||
\(675\) | 29.6281 | + | 13.3459i | 1.14039 | + | 0.513683i | ||||
\(676\) | −11.3533 | + | 6.33261i | −0.436666 | + | 0.243562i | ||||
\(677\) | 21.2839 | + | 12.2883i | 0.818006 | + | 0.472276i | 0.849728 | − | 0.527221i | \(-0.176766\pi\) |
−0.0317225 | + | 0.999497i | \(0.510099\pi\) | |||||||
\(678\) | 0.0565096 | − | 1.04918i | 0.00217024 | − | 0.0402934i | ||||
\(679\) | 2.61368 | + | 8.71307i | 0.100304 | + | 0.334377i | ||||
\(680\) | 13.6484 | 0.523392 | ||||||||
\(681\) | −16.1218 | + | 24.7469i | −0.617790 | + | 0.948303i | ||||
\(682\) | 10.4678 | + | 2.80484i | 0.400833 | + | 0.107403i | ||||
\(683\) | 30.6088 | + | 8.20161i | 1.17121 | + | 0.313826i | 0.791436 | − | 0.611252i | \(-0.209334\pi\) |
0.379778 | + | 0.925078i | \(0.376000\pi\) | |||||||
\(684\) | 1.06830 | + | 6.87382i | 0.0408473 | + | 0.262827i | ||||
\(685\) | −8.22735 | −0.314351 | ||||||||
\(686\) | 17.3930 | − | 6.36263i | 0.664068 | − | 0.242926i | ||||
\(687\) | 17.1864 | + | 0.925671i | 0.655700 | + | 0.0353165i | ||||
\(688\) | −2.21783 | − | 1.28046i | −0.0845539 | − | 0.0488172i | ||||
\(689\) | −5.52515 | − | 9.73557i | −0.210491 | − | 0.370896i | ||||
\(690\) | −9.88945 | + | 30.2872i | −0.376485 | + | 1.15301i | ||||
\(691\) | −2.97064 | − | 11.0866i | −0.113008 | − | 0.421753i | 0.886122 | − | 0.463453i | \(-0.153390\pi\) |
−0.999130 | + | 0.0416992i | \(0.986723\pi\) | |||||||
\(692\) | − | 14.9052i | − | 0.566612i | ||||||
\(693\) | −49.3810 | + | 9.18051i | −1.87583 | + | 0.348739i | ||||
\(694\) | −14.7691 | + | 14.7691i | −0.560629 | + | 0.560629i | ||||
\(695\) | −56.0189 | + | 15.0102i | −2.12492 | + | 0.569370i | ||||
\(696\) | 0.100123 | + | 0.197209i | 0.00379516 | + | 0.00747518i | ||||
\(697\) | −10.6073 | + | 39.5871i | −0.401782 | + | 1.49947i | ||||
\(698\) | 3.94161 | + | 2.27569i | 0.149192 | + | 0.0861360i | ||||
\(699\) | 23.6964 | − | 21.2743i | 0.896281 | − | 0.804667i | ||||
\(700\) | 8.69376 | + | 14.0776i | 0.328593 | + | 0.532084i | ||||
\(701\) | −10.1192 | −0.382196 | −0.191098 | − | 0.981571i | \(-0.561205\pi\) | ||||
−0.191098 | + | 0.981571i | \(0.561205\pi\) | |||||||
\(702\) | −11.9606 | + | 14.4203i | −0.451422 | + | 0.544259i | ||||
\(703\) | −9.10158 | − | 15.7644i | −0.343273 | − | 0.594566i | ||||
\(704\) | 1.63781 | − | 6.11240i | 0.0617274 | − | 0.230370i | ||||
\(705\) | 11.7801 | + | 55.8186i | 0.443664 | + | 2.10225i | ||||
\(706\) | − | 18.4274i | − | 0.693525i | ||||||
\(707\) | 4.58896 | − | 0.136017i | 0.172585 | − | 0.00511546i | ||||
\(708\) | 11.0762 | + | 0.596570i | 0.416267 | + | 0.0224205i | ||||
\(709\) | 28.3531 | − | 7.59719i | 1.06482 | − | 0.285318i | 0.316459 | − | 0.948606i | \(-0.397506\pi\) |
0.748364 | + | 0.663288i | \(0.230840\pi\) | |||||||
\(710\) | −39.9193 | − | 10.6963i | −1.49815 | − | 0.401427i | ||||
\(711\) | 16.5656 | − | 7.31804i | 0.621259 | − | 0.274448i | ||||
\(712\) | 2.79896 | + | 1.61598i | 0.104896 | + | 0.0605615i | ||||
\(713\) | 6.64016 | − | 6.64016i | 0.248676 | − | 0.248676i | ||||
\(714\) | 18.6387 | + | 0.450723i | 0.697537 | + | 0.0168679i | ||||
\(715\) | 0.566588 | − | 76.5377i | 0.0211892 | − | 2.86235i | ||||
\(716\) | −8.43169 | − | 4.86804i | −0.315107 | − | 0.181927i | ||||
\(717\) | −3.41374 | − | 6.72391i | −0.127488 | − | 0.251109i | ||||
\(718\) | −4.32177 | − | 7.48552i | −0.161287 | − | 0.279357i | ||||
\(719\) | −20.6861 | + | 35.8293i | −0.771460 | + | 1.33621i | 0.165302 | + | 0.986243i | \(0.447140\pi\) |
−0.936763 | + | 0.349966i | \(0.886193\pi\) | |||||||
\(720\) | −7.83949 | + | 6.31076i | −0.292160 | + | 0.235188i | ||||
\(721\) | −28.7950 | + | 17.7826i | −1.07238 | + | 0.662259i | ||||
\(722\) | 9.63310 | − | 9.63310i | 0.358507 | − | 0.358507i | ||||
\(723\) | −16.8650 | + | 25.8876i | −0.627216 | + | 0.962771i | ||||
\(724\) | 0.206549 | + | 0.357753i | 0.00767633 | + | 0.0132958i | ||||
\(725\) | 0.399275 | + | 0.691564i | 0.0148287 | + | 0.0256840i | ||||
\(726\) | 42.1499 | + | 27.4594i | 1.56433 | + | 1.01911i | ||||
\(727\) | − | 3.12755i | − | 0.115995i | −0.998317 | − | 0.0579973i | \(-0.981529\pi\) | ||
0.998317 | − | 0.0579973i | \(-0.0184715\pi\) | |||||||
\(728\) | −9.15719 | + | 2.67317i | −0.339388 | + | 0.0990744i | ||||
\(729\) | −8.56638 | + | 25.6050i | −0.317273 | + | 0.948334i | ||||
\(730\) | 3.66853 | + | 13.6911i | 0.135778 | + | 0.506732i | ||||
\(731\) | −9.02321 | + | 5.20956i | −0.333736 | + | 0.192682i | ||||
\(732\) | 1.93040 | − | 5.91200i | 0.0713496 | − | 0.218514i | ||||
\(733\) | 2.38043 | + | 8.88387i | 0.0879230 | + | 0.328133i | 0.995852 | − | 0.0909916i | \(-0.0290036\pi\) |
−0.907929 | + | 0.419125i | \(0.862337\pi\) | |||||||
\(734\) | 17.3534 | + | 17.3534i | 0.640527 | + | 0.640527i | ||||
\(735\) | 20.5283 | + | 35.1124i | 0.757198 | + | 1.29514i | ||||
\(736\) | −3.87735 | − | 3.87735i | −0.142921 | − | 0.142921i | ||||
\(737\) | 17.9086 | + | 10.3396i | 0.659673 | + | 0.380862i | ||||
\(738\) | −12.2116 | − | 27.6431i | −0.449516 | − | 1.01756i | ||||
\(739\) | 9.16774 | − | 34.2145i | 0.337241 | − | 1.25860i | −0.564179 | − | 0.825653i | \(-0.690807\pi\) |
0.901420 | − | 0.432947i | \(-0.142526\pi\) | |||||||
\(740\) | 13.1676 | − | 22.8069i | 0.484049 | − | 0.838397i | ||||
\(741\) | −14.4537 | − | 0.885835i | −0.530968 | − | 0.0325420i | ||||
\(742\) | −2.36014 | − | 7.86788i | −0.0866435 | − | 0.288839i | ||||
\(743\) | −1.93223 | − | 1.93223i | −0.0708866 | − | 0.0708866i | 0.670775 | − | 0.741661i | \(-0.265962\pi\) |
−0.741661 | + | 0.670775i | \(0.765962\pi\) | |||||||
\(744\) | 2.90230 | − | 0.612508i | 0.106403 | − | 0.0224556i | ||||
\(745\) | 17.0639 | − | 9.85183i | 0.625172 | − | 0.360943i | ||||
\(746\) | 0.335393 | − | 1.25170i | 0.0122796 | − | 0.0458282i | ||||
\(747\) | 0.257493 | + | 1.65681i | 0.00942118 | + | 0.0606194i | ||||
\(748\) | −18.2048 | − | 18.2048i | −0.665635 | − | 0.665635i | ||||
\(749\) | 39.2634 | − | 24.2474i | 1.43465 | − | 0.885982i | ||||
\(750\) | −5.42051 | + | 4.86645i | −0.197929 | + | 0.177698i | ||||
\(751\) | −44.5053 | − | 25.6951i | −1.62402 | − | 0.937628i | −0.985830 | − | 0.167750i | \(-0.946350\pi\) |
−0.638190 | − | 0.769879i | \(-0.720317\pi\) | |||||||
\(752\) | −9.48367 | − | 2.54114i | −0.345834 | − | 0.0926659i | ||||
\(753\) | −41.7651 | − | 13.6372i | −1.52200 | − | 0.496968i | ||||
\(754\) | −0.445583 | + | 0.115865i | −0.0162272 | + | 0.00421957i | ||||
\(755\) | − | 36.5406i | − | 1.32985i | ||||||
\(756\) | −10.9143 | + | 8.35932i | −0.396949 | + | 0.304025i | ||||
\(757\) | 10.1111 | 0.367493 | 0.183746 | − | 0.982974i | \(-0.441178\pi\) | ||||
0.183746 | + | 0.982974i | \(0.441178\pi\) | |||||||
\(758\) | −14.7344 | + | 25.5207i | −0.535177 | + | 0.926954i | ||||
\(759\) | 53.5895 | − | 27.2075i | 1.94517 | − | 0.987568i | ||||
\(760\) | −7.51365 | − | 2.01328i | −0.272549 | − | 0.0730292i | ||||
\(761\) | −8.27536 | − | 30.8841i | −0.299981 | − | 1.11955i | −0.937180 | − | 0.348846i | \(-0.886573\pi\) |
0.637198 | − | 0.770700i | \(-0.280093\pi\) | |||||||
\(762\) | 1.91070 | − | 35.4747i | 0.0692173 | − | 1.28511i | ||||
\(763\) | −9.58273 | + | 10.1682i | −0.346918 | + | 0.368112i | ||||
\(764\) | −24.3157 | −0.879711 | ||||||||
\(765\) | 6.28801 | + | 40.4594i | 0.227344 | + | 1.46281i | ||||
\(766\) | 7.94149 | − | 4.58502i | 0.286938 | − | 0.165664i | ||||
\(767\) | −6.14114 | + | 22.2586i | −0.221744 | + | 0.803713i | ||||
\(768\) | −0.357658 | − | 1.69472i | −0.0129059 | − | 0.0611530i | ||||
\(769\) | −15.3274 | + | 15.3274i | −0.552718 | + | 0.552718i | −0.927224 | − | 0.374506i | \(-0.877812\pi\) |
0.374506 | + | 0.927224i | \(0.377812\pi\) | |||||||
\(770\) | 12.9228 | − | 54.6579i | 0.465707 | − | 1.96974i | ||||
\(771\) | −29.1370 | + | 26.1587i | −1.04934 | + | 0.942083i | ||||
\(772\) | −0.225659 | − | 0.842169i | −0.00812163 | − | 0.0303103i | ||||
\(773\) | 5.09546 | − | 19.0165i | 0.183271 | − | 0.683977i | −0.811723 | − | 0.584043i | \(-0.801470\pi\) |
0.994994 | − | 0.0999342i | \(-0.0318632\pi\) | |||||||
\(774\) | 2.77403 | − | 7.16448i | 0.0997106 | − | 0.257522i | ||||
\(775\) | 10.3448 | − | 2.77189i | 0.371598 | − | 0.0995694i | ||||
\(776\) | − | 3.43821i | − | 0.123424i | ||||||
\(777\) | 18.7353 | − | 30.7111i | 0.672124 | − | 1.10175i | ||||
\(778\) | 25.0967 | + | 25.0967i | 0.899761 | + | 0.899761i | ||||
\(779\) | 11.6790 | − | 20.2286i | 0.418444 | − | 0.724766i | ||||
\(780\) | −9.34541 | − | 18.7499i | −0.334620 | − | 0.671353i | ||||
\(781\) | 38.9789 | + | 67.5134i | 1.39477 | + | 2.41582i | ||||
\(782\) | −21.5490 | + | 5.77404i | −0.770591 | + | 0.206479i | ||||
\(783\) | −0.538480 | + | 0.387664i | −0.0192437 | + | 0.0138540i | ||||
\(784\) | −6.98771 | + | 0.414598i | −0.249561 | + | 0.0148071i | ||||
\(785\) | 17.6906 | + | 17.6906i | 0.631405 | + | 0.631405i | ||||
\(786\) | 5.59470 | + | 3.64478i | 0.199556 | + | 0.130005i | ||||
\(787\) | 1.07436 | − | 4.00955i | 0.0382966 | − | 0.142925i | −0.944130 | − | 0.329572i | \(-0.893095\pi\) |
0.982427 | + | 0.186647i | \(0.0597621\pi\) | |||||||
\(788\) | 4.57659 | + | 1.22629i | 0.163034 | + | 0.0436849i | ||||
\(789\) | −31.8961 | + | 6.73144i | −1.13553 | + | 0.239646i | ||||
\(790\) | 20.2510i | 0.720497i | ||||||||
\(791\) | 1.41311 | + | 0.760952i | 0.0502444 | + | 0.0270563i | ||||
\(792\) | 18.8742 | + | 2.03908i | 0.670667 | + | 0.0724555i | ||||
\(793\) | 11.1636 | + | 6.55594i | 0.396430 | + | 0.232808i | ||||
\(794\) | 29.1596 | − | 16.8353i | 1.03484 | − | 0.597463i | ||||
\(795\) | 16.0853 | − | 8.16651i | 0.570485 | − | 0.289636i | ||||
\(796\) | −11.3951 | + | 19.7369i | −0.403889 | + | 0.699556i | ||||
\(797\) | −21.8139 | −0.772687 | −0.386344 | − | 0.922355i | \(-0.626262\pi\) | ||||
−0.386344 | + | 0.922355i | \(0.626262\pi\) | |||||||
\(798\) | −10.1944 | − | 2.99753i | −0.360879 | − | 0.106111i | ||||
\(799\) | −28.2456 | + | 28.2456i | −0.999259 | + | 0.999259i | ||||
\(800\) | −1.61858 | − | 6.04061i | −0.0572253 | − | 0.213568i | ||||
\(801\) | −3.50091 | + | 9.04179i | −0.123699 | + | 0.319476i | ||||
\(802\) | 7.50852 | + | 13.0051i | 0.265135 | + | 0.459227i | ||||
\(803\) | 13.3686 | − | 23.1551i | 0.471768 | − | 0.817127i | ||||
\(804\) | 5.65191 | + | 0.304416i | 0.199328 | + | 0.0107359i | ||||
\(805\) | −35.4182 | − | 33.3790i | −1.24833 | − | 1.17646i | ||||
\(806\) | −0.0457083 | + | 6.17452i | −0.00161001 | + | 0.217488i | ||||
\(807\) | 8.80215 | − | 1.85763i | 0.309850 | − | 0.0653916i | ||||
\(808\) | −1.67610 | − | 0.449109i | −0.0589649 | − | 0.0157996i | ||||
\(809\) | 8.41983 | − | 4.86119i | 0.296026 | − | 0.170910i | −0.344631 | − | 0.938738i | \(-0.611996\pi\) |
0.640656 | + | 0.767828i | \(0.278662\pi\) | |||||||
\(810\) | −22.3195 | − | 20.3320i | −0.784226 | − | 0.714394i | ||||
\(811\) | 20.2937 | − | 20.2937i | 0.712607 | − | 0.712607i | −0.254473 | − | 0.967080i | \(-0.581902\pi\) |
0.967080 | + | 0.254473i | \(0.0819020\pi\) | |||||||
\(812\) | −0.337694 | + | 0.0100093i | −0.0118507 | + | 0.000351258i | ||||
\(813\) | −7.52390 | − | 0.405243i | −0.263875 | − | 0.0142125i | ||||
\(814\) | −47.9843 | + | 12.8574i | −1.68185 | + | 0.450650i | ||||
\(815\) | 26.9522 | − | 15.5609i | 0.944095 | − | 0.545073i | ||||
\(816\) | −6.69878 | − | 2.18730i | −0.234504 | − | 0.0765709i | ||||
\(817\) | 5.73588 | − | 1.53692i | 0.200673 | − | 0.0537702i | ||||
\(818\) | −28.2076 | −0.986256 | ||||||||
\(819\) | −12.1432 | − | 25.9141i | −0.424319 | − | 0.905513i | ||||
\(820\) | 33.7928 | 1.18010 | ||||||||
\(821\) | −47.1195 | + | 12.6256i | −1.64448 | + | 0.440638i | −0.958060 | − | 0.286566i | \(-0.907486\pi\) |
−0.686421 | + | 0.727204i | \(0.740819\pi\) | |||||||
\(822\) | 4.03807 | + | 1.31852i | 0.140844 | + | 0.0459887i | ||||
\(823\) | 18.1900 | − | 10.5020i | 0.634062 | − | 0.366076i | −0.148262 | − | 0.988948i | \(-0.547368\pi\) |
0.782323 | + | 0.622872i | \(0.214034\pi\) | |||||||
\(824\) | 12.3557 | − | 3.31071i | 0.430432 | − | 0.115334i | ||||
\(825\) | 68.4442 | + | 3.68646i | 2.38292 | + | 0.128346i | ||||
\(826\) | −8.03336 | + | 14.9182i | −0.279516 | + | 0.519069i | ||||
\(827\) | −22.1257 | + | 22.1257i | −0.769387 | + | 0.769387i | −0.977999 | − | 0.208612i | \(-0.933105\pi\) |
0.208612 | + | 0.977999i | \(0.433105\pi\) | |||||||
\(828\) | 9.70771 | − | 13.2804i | 0.337366 | − | 0.461526i | ||||
\(829\) | −7.06627 | + | 4.07971i | −0.245422 | + | 0.141694i | −0.617666 | − | 0.786440i | \(-0.711922\pi\) |
0.372244 | + | 0.928135i | \(0.378588\pi\) | |||||||
\(830\) | −1.81103 | − | 0.485263i | −0.0628617 | − | 0.0168437i | ||||
\(831\) | −12.0110 | + | 2.53484i | −0.416658 | + | 0.0879327i | ||||
\(832\) | 3.60545 | + | 0.0266902i | 0.124997 | + | 0.000925316i | ||||
\(833\) | −12.7539 | + | 25.4640i | −0.441897 | + | 0.882276i | ||||
\(834\) | 29.9002 | + | 1.61045i | 1.03536 | + | 0.0557653i | ||||
\(835\) | 18.6358 | − | 32.2782i | 0.644919 | − | 1.11703i | ||||
\(836\) | 7.33664 | + | 12.7074i | 0.253743 | + | 0.439496i | ||||
\(837\) | 3.15286 | + | 8.32141i | 0.108979 | + | 0.287630i | ||||
\(838\) | 5.93842 | + | 22.1625i | 0.205139 | + | 0.765591i | ||||
\(839\) | 35.7272 | − | 35.7272i | 1.23344 | − | 1.23344i | 0.270806 | − | 0.962634i | \(-0.412710\pi\) |
0.962634 | − | 0.270806i | \(-0.0872901\pi\) | |||||||
\(840\) | −3.61867 | − | 14.9410i | −0.124856 | − | 0.515513i | ||||
\(841\) | 28.9837 | 0.999438 | ||||||||
\(842\) | −12.6568 | + | 21.9222i | −0.436181 | + | 0.755488i | ||||
\(843\) | −16.3180 | + | 8.28469i | −0.562022 | + | 0.285340i | ||||
\(844\) | 11.8812 | − | 6.85961i | 0.408968 | − | 0.236118i | ||||
\(845\) | 42.2870 | − | 10.6623i | 1.45472 | − | 0.366796i | ||||
\(846\) | 3.16373 | − | 29.2843i | 0.108771 | − | 1.00681i | ||||
\(847\) | −65.3803 | + | 40.3762i | −2.24649 | + | 1.38734i | ||||
\(848\) | 3.10469i | 0.106616i | ||||||||
\(849\) | 19.7860 | − | 4.17570i | 0.679055 | − | 0.143310i | ||||
\(850\) | −24.5762 | − | 6.58517i | −0.842956 | − | 0.225869i | ||||
\(851\) | −11.1412 | + | 41.5797i | −0.381917 | + | 1.42533i | ||||
\(852\) | 17.8786 | + | 11.6474i | 0.612512 | + | 0.399033i | ||||
\(853\) | 32.5674 | + | 32.5674i | 1.11509 | + | 1.11509i | 0.992452 | + | 0.122634i | \(0.0391343\pi\) |
0.122634 | + | 0.992452i | \(0.460866\pi\) | |||||||
\(854\) | 6.91355 | + | 6.51551i | 0.236577 | + | 0.222956i | ||||
\(855\) | 2.50653 | − | 23.2011i | 0.0857216 | − | 0.793461i | ||||
\(856\) | −16.8476 | + | 4.51431i | −0.575840 | + | 0.154296i | ||||
\(857\) | −9.66161 | − | 16.7344i | −0.330034 | − | 0.571636i | 0.652484 | − | 0.757803i | \(-0.273727\pi\) |
−0.982518 | + | 0.186166i | \(0.940394\pi\) | |||||||
\(858\) | −12.5441 | + | 37.4747i | −0.428248 | + | 1.27937i | ||||
\(859\) | 23.7519 | − | 41.1395i | 0.810404 | − | 1.40366i | −0.102178 | − | 0.994766i | \(-0.532581\pi\) |
0.912582 | − | 0.408895i | \(-0.134086\pi\) | |||||||
\(860\) | 6.07477 | + | 6.07477i | 0.207148 | + | 0.207148i | ||||
\(861\) | 46.1487 | + | 1.11597i | 1.57274 | + | 0.0380321i | ||||
\(862\) | − | 10.7771i | − | 0.367069i | ||||||
\(863\) | −7.73101 | + | 2.07152i | −0.263167 | + | 0.0705153i | −0.387990 | − | 0.921664i | \(-0.626830\pi\) |
0.124823 | + | 0.992179i | \(0.460164\pi\) | |||||||
\(864\) | 4.85907 | − | 1.84103i | 0.165309 | − | 0.0626331i | ||||
\(865\) | −12.9414 | + | 48.2981i | −0.440022 | + | 1.64219i | ||||
\(866\) | 7.80759 | + | 29.1383i | 0.265313 | + | 0.990160i | ||||
\(867\) | 0.576573 | − | 0.517638i | 0.0195814 | − | 0.0175799i | ||||
\(868\) | −1.04252 | + | 4.40942i | −0.0353856 | + | 0.149665i | ||||
\(869\) | 27.0116 | − | 27.0116i | 0.916307 | − | 0.916307i | ||||
\(870\) | −0.153208 | − | 0.725957i | −0.00519423 | − | 0.0246122i | ||||
\(871\) | −3.13369 | + | 11.3581i | −0.106181 | + | 0.384854i | ||||
\(872\) | 4.57345 | − | 2.64048i | 0.154877 | − | 0.0894180i | ||||
\(873\) | 10.1923 | − | 1.58403i | 0.344956 | − | 0.0536114i | ||||
\(874\) | 12.7148 | 0.430084 | ||||||||
\(875\) | −3.19713 | − | 10.6581i | −0.108083 | − | 0.360309i | ||||
\(876\) | 0.393598 | − | 7.30769i | 0.0132984 | − | 0.246904i | ||||
\(877\) | 6.00003 | + | 22.3924i | 0.202607 | + | 0.756138i | 0.990166 | + | 0.139899i | \(0.0446778\pi\) |
−0.787559 | + | 0.616239i | \(0.788655\pi\) | |||||||
\(878\) | 28.1713 | + | 7.54848i | 0.950735 | + | 0.254749i | ||||
\(879\) | 25.3133 | − | 12.8516i | 0.853795 | − | 0.433473i | ||||
\(880\) | −10.6142 | + | 18.3843i | −0.357803 | + | 0.619733i | ||||
\(881\) | 17.8123 | 0.600111 | 0.300056 | − | 0.953922i | \(-0.402995\pi\) | ||||
0.300056 | + | 0.953922i | \(0.402995\pi\) | |||||||
\(882\) | −4.44838 | − | 20.5234i | −0.149785 | − | 0.691060i | ||||
\(883\) | − | 13.4521i | − | 0.452701i | −0.974046 | − | 0.226350i | \(-0.927321\pi\) | ||
0.974046 | − | 0.226350i | \(-0.0726794\pi\) | |||||||
\(884\) | 7.42842 | − | 12.6492i | 0.249845 | − | 0.425439i | ||||
\(885\) | −35.3726 | − | 11.5499i | −1.18904 | − | 0.388247i | ||||
\(886\) | 13.6666 | + | 3.66196i | 0.459139 | + | 0.123026i | ||||
\(887\) | −13.0811 | − | 7.55237i | −0.439220 | − | 0.253584i | 0.264047 | − | 0.964510i | \(-0.414943\pi\) |
−0.703267 | + | 0.710926i | \(0.748276\pi\) | |||||||
\(888\) | −10.1178 | + | 9.08362i | −0.339532 | + | 0.304826i | ||||
\(889\) | 47.7799 | + | 25.7292i | 1.60249 | + | 0.862931i | ||||
\(890\) | −7.66654 | − | 7.66654i | −0.256983 | − | 0.256983i | ||||
\(891\) | 2.65097 | + | 56.8905i | 0.0888109 | + | 1.90590i | ||||
\(892\) | −1.49183 | + | 5.56759i | −0.0499502 | + | 0.186417i | ||||
\(893\) | 19.7162 | − | 11.3831i | 0.659777 | − | 0.380922i | ||||
\(894\) | −9.95400 | + | 2.10072i | −0.332911 | + | 0.0702585i | ||||
\(895\) | 23.0949 | + | 23.0949i | 0.771979 | + | 0.771979i | ||||
\(896\) | 2.57477 | + | 0.608755i | 0.0860169 | + | 0.0203371i | ||||
\(897\) | 22.6874 | + | 25.6499i | 0.757511 | + | 0.856426i | ||||
\(898\) | −11.8720 | + | 20.5629i | −0.396174 | + | 0.686193i | ||||
\(899\) | −0.0565985 | + | 0.211228i | −0.00188766 | + | 0.00704486i | ||||
\(900\) | 17.1612 | − | 7.58113i | 0.572038 | − | 0.252704i | ||||
\(901\) | 10.9391 | + | 6.31571i | 0.364435 | + | 0.210407i | ||||
\(902\) | −45.0744 | − | 45.0744i | −1.50081 | − | 1.50081i | ||||
\(903\) | 8.09531 | + | 8.49653i | 0.269395 | + | 0.282747i | ||||
\(904\) | −0.428946 | − | 0.428946i | −0.0142665 | − | 0.0142665i | ||||
\(905\) | −0.358672 | − | 1.33858i | −0.0119226 | − | 0.0444959i | ||||
\(906\) | −5.85603 | + | 17.9345i | −0.194554 | + | 0.595835i | ||||
\(907\) | −25.5184 | + | 14.7331i | −0.847326 | + | 0.489204i | −0.859748 | − | 0.510719i | \(-0.829379\pi\) |
0.0124219 | + | 0.999923i | \(0.496046\pi\) | |||||||
\(908\) | 4.41341 | + | 16.4711i | 0.146464 | + | 0.546611i | ||||
\(909\) | 0.559141 | − | 5.17556i | 0.0185456 | − | 0.171662i | ||||
\(910\) | 31.9934 | − | 0.711296i | 1.06057 | − | 0.0235792i | ||||
\(911\) | 43.7241i | 1.44864i | 0.689462 | + | 0.724322i | \(0.257847\pi\) | ||||
−0.689462 | + | 0.724322i | \(0.742153\pi\) | |||||||
\(912\) | 3.36513 | + | 2.19228i | 0.111431 | + | 0.0725937i | ||||
\(913\) | 1.76836 | + | 3.06289i | 0.0585243 | + | 0.101367i | ||||
\(914\) | −19.2768 | − | 33.3885i | −0.637621 | − | 1.10439i | ||||
\(915\) | −11.3882 | + | 17.4809i | −0.376484 | + | 0.577899i | ||||
\(916\) | 7.02647 | − | 7.02647i | 0.232161 | − | 0.232161i | ||||
\(917\) | −8.67814 | + | 5.35926i | −0.286578 | + | 0.176978i | ||||
\(918\) | 3.39784 | − | 20.8657i | 0.112145 | − | 0.688670i | ||||
\(919\) | 5.43311 | − | 9.41042i | 0.179222 | − | 0.310421i | −0.762392 | − | 0.647115i | \(-0.775975\pi\) |
0.941614 | + | 0.336694i | \(0.109309\pi\) | |||||||
\(920\) | 9.19745 | + | 15.9305i | 0.303231 | + | 0.525211i | ||||
\(921\) | −20.6861 | − | 40.7447i | −0.681631 | − | 1.34258i | ||||
\(922\) | 2.79109 | + | 1.61144i | 0.0919196 | + | 0.0530698i | ||||
\(923\) | −31.6402 | + | 31.1752i | −1.04145 | + | 1.02614i | ||||
\(924\) | −15.1022 | + | 24.7557i | −0.496826 | + | 0.814403i | ||||
\(925\) | −34.7144 | + | 34.7144i | −1.14140 | + | 1.14140i | ||||
\(926\) | 12.7418 | + | 7.35647i | 0.418721 | + | 0.241749i | ||||
\(927\) | 15.5068 | + | 35.1022i | 0.509309 | + | 1.15291i | ||||
\(928\) | 0.123341 | + | 0.0330492i | 0.00404888 | + | 0.00108489i | ||||
\(929\) | −20.3377 | + | 5.44946i | −0.667257 | + | 0.178791i | −0.576519 | − | 0.817084i | \(-0.695589\pi\) |
−0.0907383 | + | 0.995875i | \(0.528923\pi\) | |||||||
\(930\) | −9.93625 | − | 0.535175i | −0.325823 | − | 0.0175491i | ||||
\(931\) | 10.7774 | − | 12.1370i | 0.353216 | − | 0.397774i | ||||
\(932\) | − | 18.3858i | − | 0.602248i | ||||||
\(933\) | −4.57866 | − | 21.6954i | −0.149899 | − | 0.710277i | ||||
\(934\) | 0.499386 | − | 1.86373i | 0.0163404 | − | 0.0609832i | ||||
\(935\) | 43.1836 | + | 74.7963i | 1.41226 | + | 2.44610i | ||||
\(936\) | 1.58196 | + | 10.7003i | 0.0517081 | + | 0.349752i | ||||
\(937\) | 40.3453 | 1.31802 | 0.659012 | − | 0.752133i | \(-0.270975\pi\) | ||||
0.659012 | + | 0.752133i | \(0.270975\pi\) | |||||||
\(938\) | −4.09924 | + | 7.61240i | −0.133845 | + | 0.248554i | ||||
\(939\) | −21.0332 | + | 18.8833i | −0.686394 | + | 0.616233i | ||||
\(940\) | 28.5240 | + | 16.4684i | 0.930352 | + | 0.537139i | ||||
\(941\) | 4.03518 | − | 15.0595i | 0.131543 | − | 0.490926i | −0.868445 | − | 0.495786i | \(-0.834880\pi\) |
0.999988 | + | 0.00485964i | \(0.00154688\pi\) | |||||||
\(942\) | −5.84764 | − | 11.5179i | −0.190526 | − | 0.375272i | ||||
\(943\) | −53.3544 | + | 14.2963i | −1.73746 | + | 0.465551i | ||||
\(944\) | 4.52837 | − | 4.52837i | 0.147386 | − | 0.147386i | ||||
\(945\) | 42.6241 | − | 17.6108i | 1.38656 | − | 0.572878i | ||||
\(946\) | − | 16.2056i | − | 0.526889i | ||||||
\(947\) | −11.0500 | − | 41.2392i | −0.359077 | − | 1.34009i | −0.875275 | − | 0.483625i | \(-0.839320\pi\) |
0.516198 | − | 0.856469i | \(-0.327347\pi\) | |||||||
\(948\) | 3.24544 | − | 9.93940i | 0.105407 | − | 0.322817i | ||||
\(949\) | 14.6855 | + | 4.05173i | 0.476713 | + | 0.131525i | ||||
\(950\) | 12.5582 | + | 7.25047i | 0.407441 | + | 0.235236i | ||||
\(951\) | −0.628617 | − | 0.0338578i | −0.0203843 | − | 0.00109791i | ||||
\(952\) | 7.38261 | − | 7.83362i | 0.239272 | − | 0.253889i | ||||
\(953\) | −24.5509 | −0.795283 | −0.397641 | − | 0.917541i | \(-0.630171\pi\) | ||||
−0.397641 | + | 0.917541i | \(0.630171\pi\) | |||||||
\(954\) | −9.20359 | + | 1.43038i | −0.297977 | + | 0.0463102i | ||||
\(955\) | 78.7913 | + | 21.1121i | 2.54963 | + | 0.683170i | ||||
\(956\) | −4.20537 | − | 1.12682i | −0.136011 | − | 0.0364441i | ||||
\(957\) | −0.763958 | + | 1.17267i | −0.0246953 | + | 0.0379070i | ||||
\(958\) | −4.71803 | −0.152433 | ||||||||
\(959\) | −4.45029 | + | 4.72216i | −0.143707 | + | 0.152487i | ||||
\(960\) | −0.312501 | + | 5.80202i | −0.0100859 | + | 0.187259i | ||||
\(961\) | −24.3069 | − | 14.0336i | −0.784093 | − | 0.452696i | ||||
\(962\) | −13.9705 | − | 24.6167i | −0.450428 | − | 0.793675i | ||||
\(963\) | −21.1442 | − | 47.8635i | −0.681363 | − | 1.54238i | ||||
\(964\) | 4.61685 | + | 17.2303i | 0.148699 | + | 0.554951i | ||||
\(965\) | 2.92485i | 0.0941542i | ||||||||
\(966\) | 12.0343 | + | 22.0589i | 0.387197 | + | 0.709735i | ||||
\(967\) | 2.78613 | − | 2.78613i | 0.0895958 | − | 0.0895958i | −0.660888 | − | 0.750484i | \(-0.729820\pi\) |
0.750484 | + | 0.660888i | \(0.229820\pi\) | |||||||
\(968\) | 28.0542 | − | 7.51710i | 0.901697 | − | 0.241609i | ||||
\(969\) | 14.5698 | − | 7.39713i | 0.468051 | − | 0.237630i | ||||
\(970\) | −2.98522 | + | 11.1410i | −0.0958496 | + | 0.357715i | ||||
\(971\) | 17.9367 | + | 10.3557i | 0.575615 | + | 0.332332i | 0.759389 | − | 0.650637i | \(-0.225498\pi\) |
−0.183774 | + | 0.982969i | \(0.558831\pi\) | |||||||
\(972\) | 7.69622 | + | 13.5561i | 0.246856 | + | 0.434812i | ||||
\(973\) | −21.6862 | + | 40.2718i | −0.695226 | + | 1.29105i | ||||
\(974\) | −17.0911 | −0.547633 | ||||||||
\(975\) | 7.78140 | + | 38.2713i | 0.249204 | + | 1.22566i | ||||
\(976\) | −1.79532 | − | 3.10959i | −0.0574669 | − | 0.0995355i | ||||
\(977\) | 4.50162 | − | 16.8003i | 0.144020 | − | 0.537489i | −0.855777 | − | 0.517344i | \(-0.826921\pi\) |
0.999797 | − | 0.0201445i | \(-0.00641264\pi\) | |||||||
\(978\) | −15.7222 | + | 3.31806i | −0.502742 | + | 0.106100i | ||||
\(979\) | 20.4519i | 0.653647i | ||||||||
\(980\) | 23.0026 | + | 4.72363i | 0.734790 | + | 0.150891i | ||||
\(981\) | 9.93453 | + | 12.3411i | 0.317185 | + | 0.394020i | ||||
\(982\) | 23.9908 | − | 6.42832i | 0.765578 | − | 0.205136i | ||||
\(983\) | −13.4884 | − | 3.61420i | −0.430212 | − | 0.115275i | 0.0372135 | − | 0.999307i | \(-0.488152\pi\) |
−0.467426 | + | 0.884032i | \(0.654819\pi\) | |||||||
\(984\) | −16.5859 | − | 5.41566i | −0.528739 | − | 0.172645i | ||||
\(985\) | −13.7650 | − | 7.94724i | −0.438590 | − | 0.253220i | ||||
\(986\) | 0.367353 | − | 0.367353i | 0.0116989 | − | 0.0116989i | ||||
\(987\) | 38.4096 | + | 23.4318i | 1.22259 | + | 0.745842i | ||||
\(988\) | −5.95535 | + | 5.86783i | −0.189465 | + | 0.186680i | ||||
\(989\) | −12.1612 | − | 7.02129i | −0.386705 | − | 0.223264i | ||||
\(990\) | −59.3886 | − | 22.9948i | −1.88749 | − | 0.730824i | ||||
\(991\) | 1.69315 | + | 2.93263i | 0.0537848 | + | 0.0931580i | 0.891664 | − | 0.452697i | \(-0.149538\pi\) |
−0.837879 | + | 0.545855i | \(0.816205\pi\) | |||||||
\(992\) | 0.856275 | − | 1.48311i | 0.0271868 | − | 0.0470889i | ||||
\(993\) | 1.27468 | − | 23.6662i | 0.0404507 | − | 0.751023i | ||||
\(994\) | −27.7322 | + | 17.1263i | −0.879612 | + | 0.543212i | ||||
\(995\) | 54.0606 | − | 54.0606i | 1.71384 | − | 1.71384i | ||||
\(996\) | 0.811103 | + | 0.528409i | 0.0257008 | + | 0.0167433i | ||||
\(997\) | −18.3914 | − | 31.8548i | −0.582461 | − | 1.00885i | −0.995187 | − | 0.0979970i | \(-0.968756\pi\) |
0.412725 | − | 0.910855i | \(-0.364577\pi\) | |||||||
\(998\) | 13.8253 | + | 23.9462i | 0.437633 | + | 0.758003i | ||||
\(999\) | −31.5890 | − | 25.8085i | −0.999433 | − | 0.816544i |
(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 | 546.2.bv.a.317.35 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.317.8 | ✓ | 144 | |
7.4 | even | 3 | inner | 546.2.bv.a.473.8 | yes | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.359.35 | yes | 144 | |
21.11 | odd | 6 | inner | 546.2.bv.a.473.35 | yes | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.359.8 | yes | 144 | |
91.60 | odd | 12 | inner | 546.2.bv.a.515.8 | yes | 144 | |
273.242 | even | 12 | inner | 546.2.bv.a.515.35 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.8 | ✓ | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.317.35 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.359.8 | yes | 144 | 39.8 | even | 4 | inner | |
546.2.bv.a.359.35 | yes | 144 | 13.8 | odd | 4 | inner | |
546.2.bv.a.473.8 | yes | 144 | 7.4 | even | 3 | inner | |
546.2.bv.a.473.35 | yes | 144 | 21.11 | odd | 6 | inner | |
546.2.bv.a.515.8 | yes | 144 | 91.60 | odd | 12 | inner | |
546.2.bv.a.515.35 | yes | 144 | 273.242 | even | 12 | inner |