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 | 473.35 | ||
Character | \(\chi\) | \(=\) | 546.473 |
Dual form | 546.2.bv.a.359.35 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | 1.64650 | − | 0.537619i | 0.950608 | − | 0.310395i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −0.868248 | + | 3.24035i | −0.388292 | + | 1.44913i | 0.444619 | + | 0.895720i | \(0.353339\pi\) |
−0.832911 | + | 0.553407i | \(0.813327\pi\) | |||||||
\(6\) | −0.0931546 | − | 1.72954i | −0.0380302 | − | 0.706083i | ||||
\(7\) | 2.32948 | − | 1.25441i | 0.880459 | − | 0.474123i | ||||
\(8\) | −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 | ||||
\(11\) | 1.63781 | + | 6.11240i | 0.493819 | + | 1.84296i | 0.536546 | + | 0.843871i | \(0.319729\pi\) |
−0.0427270 | + | 0.999087i | \(0.513605\pi\) | |||||||
\(12\) | −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 | ||||
\(15\) | 0.312501 | + | 5.80202i | 0.0806875 | + | 1.49808i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 2.03425 | − | 3.52342i | 0.493377 | − | 0.854555i | −0.506594 | − | 0.862185i | \(-0.669096\pi\) |
0.999971 | + | 0.00763036i | \(0.00242884\pi\) | |||||||
\(18\) | −1.08322 | − | 2.79761i | −0.255316 | − | 0.659404i | ||||
\(19\) | −2.23977 | − | 0.600144i | −0.513838 | − | 0.137683i | −0.00742326 | − | 0.999972i | \(-0.502363\pi\) |
−0.506415 | + | 0.862290i | \(0.669030\pi\) | |||||||
\(20\) | 2.37210 | − | 2.37210i | 0.530417 | − | 0.530417i | ||||
\(21\) | 3.16109 | − | 3.31776i | 0.689806 | − | 0.723994i | ||||
\(22\) | 6.32802 | 1.34914 | ||||||||
\(23\) | −2.74170 | − | 4.74876i | −0.571684 | − | 0.990185i | −0.996393 | − | 0.0848557i | \(-0.972957\pi\) |
0.424709 | − | 0.905330i | \(-0.360376\pi\) | |||||||
\(24\) | −0.784098 | + | 1.54441i | −0.160053 | + | 0.315251i | ||||
\(25\) | −5.41586 | − | 3.12685i | −1.08317 | − | 0.625370i | ||||
\(26\) | 3.47569 | + | 0.958941i | 0.681639 | + | 0.188064i | ||||
\(27\) | 3.03592 | − | 4.21701i | 0.584263 | − | 0.811564i | ||||
\(28\) | −2.64459 | − | 0.0783861i | −0.499781 | − | 0.0148136i | ||||
\(29\) | − | 0.127692i | − | 0.0237119i | −0.999930 | − | 0.0118559i | \(-0.996226\pi\) | ||
0.999930 | − | 0.0118559i | \(-0.00377395\pi\) | |||||||
\(30\) | 5.68520 | + | 1.19982i | 1.03797 | + | 0.219056i | ||||
\(31\) | −0.443241 | − | 1.65420i | −0.0796084 | − | 0.297103i | 0.914630 | − | 0.404291i | \(-0.132482\pi\) |
−0.994239 | + | 0.107189i | \(0.965815\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 5.98280 | + | 9.18355i | 1.04147 | + | 1.59865i | ||||
\(34\) | −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 | ||||
\(37\) | 2.03181 | − | 7.58283i | 0.334028 | − | 1.24661i | −0.570891 | − | 0.821026i | \(-0.693402\pi\) |
0.904919 | − | 0.425584i | \(-0.139931\pi\) | |||||||
\(38\) | −1.15939 | + | 2.00812i | −0.188078 | + | 0.325760i | ||||
\(39\) | 1.89442 | + | 5.95073i | 0.303349 | + | 0.952879i | ||||
\(40\) | −1.67733 | − | 2.90521i | −0.265209 | − | 0.459355i | ||||
\(41\) | 7.12298 | + | 7.12298i | 1.11242 | + | 1.11242i | 0.992822 | + | 0.119600i | \(0.0381613\pi\) |
0.119600 | + | 0.992822i | \(0.461839\pi\) | |||||||
\(42\) | −2.38656 | − | 3.91208i | −0.368254 | − | 0.603646i | ||||
\(43\) | − | 2.56093i | − | 0.390538i | −0.980750 | − | 0.195269i | \(-0.937442\pi\) | ||
0.980750 | − | 0.195269i | \(-0.0625579\pi\) | |||||||
\(44\) | 1.63781 | − | 6.11240i | 0.246910 | − | 0.921479i | ||||
\(45\) | 3.63381 | + | 9.38502i | 0.541697 | + | 1.39904i | ||||
\(46\) | −5.29656 | + | 1.41921i | −0.780935 | + | 0.209251i | ||||
\(47\) | −9.48367 | − | 2.54114i | −1.38334 | − | 0.370664i | −0.511004 | − | 0.859578i | \(-0.670726\pi\) |
−0.872332 | + | 0.488914i | \(0.837393\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 1.82584 | − | 3.10907i | 0.253199 | − | 0.431150i | ||||
\(53\) | −2.68874 | − | 1.55235i | −0.369327 | − | 0.213231i | 0.303837 | − | 0.952724i | \(-0.401732\pi\) |
−0.673165 | + | 0.739493i | \(0.735065\pi\) | |||||||
\(54\) | −3.28757 | − | 4.02392i | −0.447381 | − | 0.547586i | ||||
\(55\) | −21.2283 | −2.86243 | ||||||||
\(56\) | −0.760185 | + | 2.53419i | −0.101584 | + | 0.338645i | ||||
\(57\) | −4.01043 | + | 0.216005i | −0.531195 | + | 0.0286106i | ||||
\(58\) | −0.123341 | − | 0.0330492i | −0.0161955 | − | 0.00433957i | ||||
\(59\) | 1.65750 | + | 6.18587i | 0.215788 | + | 0.805332i | 0.985888 | + | 0.167408i | \(0.0535398\pi\) |
−0.770100 | + | 0.637924i | \(0.779793\pi\) | |||||||
\(60\) | 2.63038 | − | 5.18095i | 0.339580 | − | 0.668857i | ||||
\(61\) | 1.79532 | + | 3.10959i | 0.229867 | + | 0.398142i | 0.957769 | − | 0.287540i | \(-0.0928374\pi\) |
−0.727901 | + | 0.685682i | \(0.759504\pi\) | |||||||
\(62\) | −1.71255 | −0.217494 | ||||||||
\(63\) | 3.42104 | − | 7.16216i | 0.431011 | − | 0.902347i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −11.6597 | − | 3.21691i | −1.44621 | − | 0.399009i | ||||
\(66\) | 10.4191 | − | 3.40207i | 1.28250 | − | 0.418766i | ||||
\(67\) | −0.845785 | − | 3.15651i | −0.103329 | − | 0.385629i | 0.894821 | − | 0.446425i | \(-0.147303\pi\) |
−0.998150 | + | 0.0607954i | \(0.980636\pi\) | |||||||
\(68\) | −3.52342 | + | 2.03425i | −0.427277 | + | 0.246689i | ||||
\(69\) | −7.06724 | − | 6.34485i | −0.850795 | − | 0.763830i | ||||
\(70\) | 8.87168 | + | 0.262958i | 1.06037 | + | 0.0314295i | ||||
\(71\) | −8.71117 | − | 8.71117i | −1.03383 | − | 1.03383i | −0.999408 | − | 0.0344187i | \(-0.989042\pi\) |
−0.0344187 | − | 0.999408i | \(-0.510958\pi\) | |||||||
\(72\) | −0.460715 | + | 2.96441i | −0.0542958 | + | 0.349359i | ||||
\(73\) | −4.08124 | + | 1.09357i | −0.477673 | + | 0.127992i | −0.489619 | − | 0.871937i | \(-0.662864\pi\) |
0.0119458 | + | 0.999929i | \(0.496197\pi\) | |||||||
\(74\) | −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 | ||||
\(78\) | 6.23827 | − | 0.289703i | 0.706346 | − | 0.0328024i | ||||
\(79\) | 3.01834 | + | 5.22792i | 0.339590 | + | 0.588187i | 0.984356 | − | 0.176193i | \(-0.0563784\pi\) |
−0.644766 | + | 0.764380i | \(0.723045\pi\) | |||||||
\(80\) | −3.24035 | + | 0.868248i | −0.362282 | + | 0.0970731i | ||||
\(81\) | 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 | 0.685085 | − | 0.728464i | \(-0.259765\pi\) |
−0.728464 | + | 0.685085i | \(0.759765\pi\) | |||||||
\(84\) | −4.39646 | + | 1.29272i | −0.479693 | + | 0.141047i | ||||
\(85\) | 9.65087 | + | 9.65087i | 1.04678 | + | 1.04678i | ||||
\(86\) | −2.47366 | − | 0.662816i | −0.266742 | − | 0.0714733i | ||||
\(87\) | −0.0686499 | − | 0.210246i | −0.00736004 | − | 0.0225407i | ||||
\(88\) | −5.48023 | − | 3.16401i | −0.584194 | − | 0.337285i | ||||
\(89\) | 3.12184 | + | 0.836494i | 0.330914 | + | 0.0886682i | 0.420451 | − | 0.907315i | \(-0.361872\pi\) |
−0.0895366 | + | 0.995984i | \(0.528539\pi\) | |||||||
\(90\) | 10.0057 | − | 1.08097i | 1.05470 | − | 0.113944i | ||||
\(91\) | 4.46054 | + | 8.43229i | 0.467592 | + | 0.883944i | ||||
\(92\) | 5.48340i | 0.571684i | ||||||||
\(93\) | −1.61912 | − | 2.48534i | −0.167895 | − | 0.257718i | ||||
\(94\) | −4.90911 | + | 8.50283i | −0.506336 | + | 0.877000i | ||||
\(95\) | 3.88935 | − | 6.73655i | 0.399039 | − | 0.691156i | ||||
\(96\) | 1.45125 | − | 0.945446i | 0.148118 | − | 0.0964942i | ||||
\(97\) | 2.43118 | − | 2.43118i | 0.246849 | − | 0.246849i | −0.572827 | − | 0.819676i | \(-0.694153\pi\) |
0.819676 | + | 0.572827i | \(0.194153\pi\) | |||||||
\(98\) | −4.64789 | − | 5.23422i | −0.469508 | − | 0.528736i | ||||
\(99\) | 14.7879 | + | 11.9043i | 1.48624 | + | 1.19642i | ||||
\(100\) | 3.12685 | + | 5.41586i | 0.312685 | + | 0.541586i | ||||
\(101\) | 0.867612 | − | 1.50275i | 0.0863306 | − | 0.149529i | −0.819627 | − | 0.572898i | \(-0.805819\pi\) |
0.905957 | + | 0.423369i | \(0.139153\pi\) | |||||||
\(102\) | −6.28341 | − | 3.19010i | −0.622150 | − | 0.315867i | ||||
\(103\) | −11.0778 | + | 6.39579i | −1.09153 | + | 0.630196i | −0.933984 | − | 0.357315i | \(-0.883692\pi\) |
−0.157548 | + | 0.987511i | \(0.550359\pi\) | |||||||
\(104\) | −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 | −0.999023 | − | 0.0441826i | \(-0.985932\pi\) |
−0.461248 | + | 0.887271i | \(0.652598\pi\) | |||||||
\(108\) | −4.73769 | + | 2.13408i | −0.455884 | + | 0.205352i | ||||
\(109\) | −1.36681 | − | 5.10102i | −0.130917 | − | 0.488589i | 0.869064 | − | 0.494699i | \(-0.164722\pi\) |
−0.999981 | + | 0.00611014i | \(0.998055\pi\) | |||||||
\(110\) | −5.49429 | + | 20.5050i | −0.523860 | + | 1.95507i | ||||
\(111\) | −0.731294 | − | 13.5775i | −0.0694114 | − | 1.28872i | ||||
\(112\) | 2.25109 | + | 1.39018i | 0.212708 | + | 0.131360i | ||||
\(113\) | 0.606621i | 0.0570661i | 0.999593 | + | 0.0285331i | \(0.00908359\pi\) | ||||
−0.999593 | + | 0.0285331i | \(0.990916\pi\) | |||||||
\(114\) | −0.829331 | + | 3.92968i | −0.0776740 | + | 0.368049i | ||||
\(115\) | 17.7681 | − | 4.76095i | 1.65688 | − | 0.443961i | ||||
\(116\) | −0.0638462 | + | 0.110585i | −0.00592797 | + | 0.0102675i | ||||
\(117\) | 6.31839 | + | 8.77941i | 0.584135 | + | 0.811657i | ||||
\(118\) | 6.40409 | 0.589544 | ||||||||
\(119\) | 0.318913 | − | 10.7595i | 0.0292347 | − | 0.986322i | ||||
\(120\) | −4.32362 | − | 3.88168i | −0.394691 | − | 0.354347i | ||||
\(121\) | −25.1527 | + | 14.5219i | −2.28661 | + | 1.32018i | ||||
\(122\) | 3.46830 | − | 0.929327i | 0.314005 | − | 0.0841373i | ||||
\(123\) | 15.5574 | + | 7.89854i | 1.40277 | + | 0.712187i | ||||
\(124\) | −0.443241 | + | 1.65420i | −0.0398042 | + | 0.148551i | ||||
\(125\) | 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 | \(-0.363941\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | −1.37680 | − | 4.21657i | −0.121221 | − | 0.371248i | ||||
\(130\) | −6.12506 | + | 10.4298i | −0.537203 | + | 0.914758i | ||||
\(131\) | 3.33860 | − | 1.92754i | 0.291695 | − | 0.168410i | −0.347011 | − | 0.937861i | \(-0.612803\pi\) |
0.638706 | + | 0.769451i | \(0.279470\pi\) | |||||||
\(132\) | −0.589485 | − | 10.9446i | −0.0513080 | − | 0.952604i | ||||
\(133\) | −5.97031 | + | 1.41157i | −0.517692 | + | 0.122399i | ||||
\(134\) | −3.26786 | −0.282300 | ||||||||
\(135\) | 11.0286 | + | 13.4988i | 0.949195 | + | 1.16180i | ||||
\(136\) | 1.05300 | + | 3.92986i | 0.0902943 | + | 0.336983i | ||||
\(137\) | 0.634758 | + | 2.36895i | 0.0542311 | + | 0.202393i | 0.987726 | − | 0.156198i | \(-0.0499239\pi\) |
−0.933495 | + | 0.358591i | \(0.883257\pi\) | |||||||
\(138\) | −7.95779 | + | 5.18426i | −0.677412 | + | 0.441313i | ||||
\(139\) | 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 | ||||
\(141\) | −16.9810 | + | 0.914613i | −1.43006 | + | 0.0770243i | ||||
\(142\) | −10.6690 | + | 6.15973i | −0.895320 | + | 0.516913i | ||||
\(143\) | −22.0817 | + | 5.74191i | −1.84656 | + | 0.480163i | ||||
\(144\) | 2.74416 | + | 1.21226i | 0.228680 | + | 0.101022i | ||||
\(145\) | 0.413767 | + | 0.110869i | 0.0343615 | + | 0.00920714i | ||||
\(146\) | 4.22521i | 0.349681i | ||||||||
\(147\) | 3.20184 | − | 11.6939i | 0.264083 | − | 0.964500i | ||||
\(148\) | −5.55102 | + | 5.55102i | −0.456291 | + | 0.456291i | ||||
\(149\) | −1.52018 | + | 5.67339i | −0.124538 | + | 0.464783i | −0.999823 | − | 0.0188255i | \(-0.994007\pi\) |
0.875285 | + | 0.483608i | \(0.160674\pi\) | |||||||
\(150\) | −4.90351 | + | 9.65825i | −0.400370 | + | 0.788593i | ||||
\(151\) | 10.5214 | − | 2.81919i | 0.856217 | − | 0.229423i | 0.196098 | − | 0.980584i | \(-0.437173\pi\) |
0.660118 | + | 0.751162i | \(0.270506\pi\) | |||||||
\(152\) | 2.00812 | − | 1.15939i | 0.162880 | − | 0.0940389i | ||||
\(153\) | −1.31099 | − | 12.1349i | −0.105987 | − | 0.981046i | ||||
\(154\) | 14.7410 | − | 7.93794i | 1.18786 | − | 0.639657i | ||||
\(155\) | 5.74501 | 0.461451 | ||||||||
\(156\) | 1.33475 | − | 6.10069i | 0.106866 | − | 0.488446i | ||||
\(157\) | −3.72889 | + | 6.45864i | −0.297598 | + | 0.515455i | −0.975586 | − | 0.219618i | \(-0.929519\pi\) |
0.677988 | + | 0.735073i | \(0.262852\pi\) | |||||||
\(158\) | 5.83099 | − | 1.56241i | 0.463888 | − | 0.124298i | ||||
\(159\) | −5.26159 | − | 1.11042i | −0.417271 | − | 0.0880620i | ||||
\(160\) | 3.35465i | 0.265209i | ||||||||
\(161\) | −12.3436 | − | 7.62291i | −0.972813 | − | 0.600769i | ||||
\(162\) | −7.57632 | − | 4.85792i | −0.595252 | − | 0.381674i | ||||
\(163\) | 2.40111 | − | 8.96107i | 0.188070 | − | 0.701885i | −0.805883 | − | 0.592075i | \(-0.798309\pi\) |
0.993953 | − | 0.109810i | \(-0.0350243\pi\) | |||||||
\(164\) | −2.60719 | − | 9.73017i | −0.203587 | − | 0.759799i | ||||
\(165\) | −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 | −0.334471 | − | 0.942406i | \(-0.608558\pi\) |
0.942406 | + | 0.334471i | \(0.108558\pi\) | |||||||
\(168\) | 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 | ||||
\(171\) | −6.48705 | + | 2.51174i | −0.496077 | + | 0.192077i | ||||
\(172\) | −1.28046 | + | 2.21783i | −0.0976344 | + | 0.169108i | ||||
\(173\) | −7.45262 | − | 12.9083i | −0.566612 | − | 0.981401i | −0.996898 | − | 0.0787079i | \(-0.974921\pi\) |
0.430286 | − | 0.902693i | \(-0.358413\pi\) | |||||||
\(174\) | −0.220850 | + | 0.0118951i | −0.0167426 | + | 0.000901768i | ||||
\(175\) | −16.5385 | − | 0.490203i | −1.25019 | − | 0.0370559i | ||||
\(176\) | −4.47459 | + | 4.47459i | −0.337285 | + | 0.337285i | ||||
\(177\) | 6.05472 | + | 9.29394i | 0.455101 | + | 0.698576i | ||||
\(178\) | 1.61598 | − | 2.79896i | 0.121123 | − | 0.209791i | ||||
\(179\) | 4.86804 | − | 8.43169i | 0.363854 | − | 0.630214i | −0.624737 | − | 0.780835i | \(-0.714794\pi\) |
0.988592 | + | 0.150621i | \(0.0481272\pi\) | |||||||
\(180\) | 1.54554 | − | 9.94458i | 0.115198 | − | 0.741225i | ||||
\(181\) | 0.413098i | 0.0307053i | 0.999882 | + | 0.0153527i | \(0.00488710\pi\) | ||||
−0.999882 | + | 0.0153527i | \(0.995113\pi\) | |||||||
\(182\) | 9.29944 | − | 2.12612i | 0.689321 | − | 0.157598i | ||||
\(183\) | 4.62777 | + | 4.15474i | 0.342095 | + | 0.307127i | ||||
\(184\) | 5.29656 | + | 1.41921i | 0.390467 | + | 0.104625i | ||||
\(185\) | 22.8069 | + | 13.1676i | 1.67679 | + | 0.968098i | ||||
\(186\) | −2.81972 | + | 0.920700i | −0.206752 | + | 0.0675090i | ||||
\(187\) | 24.8683 | + | 6.66343i | 1.81855 | + | 0.487278i | ||||
\(188\) | 6.94253 | + | 6.94253i | 0.506336 | + | 0.506336i | ||||
\(189\) | 1.78224 | − | 13.6317i | 0.129639 | − | 0.991561i | ||||
\(190\) | −5.50037 | − | 5.50037i | −0.399039 | − | 0.399039i | ||||
\(191\) | −21.0580 | + | 12.1578i | −1.52370 | + | 0.879711i | −0.524098 | + | 0.851658i | \(0.675597\pi\) |
−0.999606 | + | 0.0280531i | \(0.991069\pi\) | |||||||
\(192\) | −0.537619 | − | 1.64650i | −0.0387993 | − | 0.118826i | ||||
\(193\) | −0.842169 | + | 0.225659i | −0.0606207 | + | 0.0162433i | −0.289002 | − | 0.957329i | \(-0.593323\pi\) |
0.228381 | + | 0.973572i | \(0.426657\pi\) | |||||||
\(194\) | −1.71910 | − | 2.97758i | −0.123424 | − | 0.213777i | ||||
\(195\) | −20.9272 | + | 0.971852i | −1.49863 | + | 0.0695958i | ||||
\(196\) | −6.25883 | + | 3.13480i | −0.447060 | + | 0.223915i | ||||
\(197\) | −3.35030 | − | 3.35030i | −0.238699 | − | 0.238699i | 0.577612 | − | 0.816311i | \(-0.303985\pi\) |
−0.816311 | + | 0.577612i | \(0.803985\pi\) | |||||||
\(198\) | 15.3260 | − | 11.2030i | 1.08917 | − | 0.796163i | ||||
\(199\) | 19.7369 | + | 11.3951i | 1.39911 | + | 0.807778i | 0.994300 | − | 0.106622i | \(-0.0340034\pi\) |
0.404813 | + | 0.914400i | \(0.367337\pi\) | |||||||
\(200\) | 6.04061 | − | 1.61858i | 0.427135 | − | 0.114451i | ||||
\(201\) | −3.08959 | − | 4.74249i | −0.217923 | − | 0.334509i | ||||
\(202\) | −1.22699 | − | 1.22699i | −0.0863306 | − | 0.0863306i | ||||
\(203\) | −0.160179 | − | 0.297456i | −0.0112423 | − | 0.0208773i | ||||
\(204\) | −4.70766 | + | 5.24365i | −0.329602 | + | 0.367129i | ||||
\(205\) | −29.2654 | + | 16.8964i | −2.04399 | + | 1.18010i | ||||
\(206\) | 3.31071 | + | 12.3557i | 0.230668 | + | 0.860864i | ||||
\(207\) | −15.0473 | − | 6.64732i | −1.04586 | − | 0.462021i | ||||
\(208\) | −3.13576 | + | 1.77961i | −0.217426 | + | 0.123394i | ||||
\(209\) | − | 14.6733i | − | 1.01497i | ||||||
\(210\) | 14.7486 | − | 4.33663i | 1.01775 | − | 0.299256i | ||||
\(211\) | 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 | ||||
\(213\) | −19.0263 | − | 9.65966i | −1.30366 | − | 0.661869i | ||||
\(214\) | 4.51431 | + | 16.8476i | 0.308592 | + | 1.15168i | ||||
\(215\) | 8.29829 | + | 2.22352i | 0.565938 | + | 0.151643i | ||||
\(216\) | 0.835158 | + | 5.12860i | 0.0568253 | + | 0.348957i | ||||
\(217\) | −3.10756 | − | 3.29740i | −0.210955 | − | 0.223842i | ||||
\(218\) | −5.28096 | −0.357672 | ||||||||
\(219\) | −6.13185 | + | 3.99471i | −0.414352 | + | 0.269938i | ||||
\(220\) | 18.3843 | + | 10.6142i | 1.23947 | + | 0.715606i | ||||
\(221\) | 12.6492 | + | 7.42842i | 0.850879 | + | 0.499690i | ||||
\(222\) | −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 | ||||
\(226\) | 0.585951 | + | 0.157005i | 0.0389769 | + | 0.0104438i | ||||
\(227\) | −16.4711 | + | 4.41341i | −1.09322 | + | 0.292928i | −0.760002 | − | 0.649921i | \(-0.774802\pi\) |
−0.333221 | + | 0.942849i | \(0.608135\pi\) | |||||||
\(228\) | 3.58114 | + | 1.81815i | 0.237167 | + | 0.120410i | ||||
\(229\) | −2.57187 | + | 9.59834i | −0.169954 | + | 0.634276i | 0.827403 | + | 0.561609i | \(0.189818\pi\) |
−0.997356 | + | 0.0726666i | \(0.976849\pi\) | |||||||
\(230\) | − | 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 | −0.992480 | − | 0.122407i | \(-0.960939\pi\) |
0.390232 | − | 0.920716i | \(-0.372395\pi\) | |||||||
\(234\) | 10.1156 | − | 3.83081i | 0.661276 | − | 0.250428i | ||||
\(235\) | 16.4684 | − | 28.5240i | 1.07428 | − | 1.86070i | ||||
\(236\) | 1.65750 | − | 6.18587i | 0.107894 | − | 0.402666i | ||||
\(237\) | 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 | 0.799629 | − | 0.600495i | \(-0.205030\pi\) |
−0.600495 | + | 0.799629i | \(0.705030\pi\) | |||||||
\(240\) | −4.86845 | + | 3.17164i | −0.314257 | + | 0.204729i | ||||
\(241\) | 17.2303 | − | 4.61685i | 1.10990 | − | 0.297397i | 0.343112 | − | 0.939295i | \(-0.388519\pi\) |
0.766791 | + | 0.641897i | \(0.221852\pi\) | |||||||
\(242\) | 7.51710 | + | 28.0542i | 0.483218 | + | 1.80339i | ||||
\(243\) | −0.112933 | − | 15.5880i | −0.00724462 | − | 0.999974i | ||||
\(244\) | − | 3.59064i | − | 0.229867i | ||||||
\(245\) | 15.5921 | + | 17.5590i | 0.996141 | + | 1.12180i | ||||
\(246\) | 11.6560 | − | 12.9830i | 0.743157 | − | 0.827769i | ||||
\(247\) | 2.22357 | − | 8.05936i | 0.141482 | − | 0.512805i | ||||
\(248\) | 1.48311 | + | 0.856275i | 0.0941777 | + | 0.0543735i | ||||
\(249\) | −0.863167 | − | 0.438232i | −0.0547010 | − | 0.0277718i | ||||
\(250\) | −2.10286 | − | 3.64226i | −0.132997 | − | 0.230357i | ||||
\(251\) | 25.3659 | 1.60108 | 0.800542 | − | 0.599276i | \(-0.204545\pi\) | ||||
0.800542 | + | 0.599276i | \(0.204545\pi\) | |||||||
\(252\) | −6.54379 | + | 4.49209i | −0.412220 | + | 0.282975i | ||||
\(253\) | 24.5359 | − | 24.5359i | 1.54256 | − | 1.54256i | ||||
\(254\) | −19.8121 | − | 5.30864i | −1.24312 | − | 0.333094i | ||||
\(255\) | 21.0787 | + | 10.7017i | 1.32000 | + | 0.670164i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 11.3035 | + | 19.5783i | 0.705096 | + | 1.22126i | 0.966657 | + | 0.256075i | \(0.0824294\pi\) |
−0.261561 | + | 0.965187i | \(0.584237\pi\) | |||||||
\(258\) | −4.42923 | + | 0.238562i | −0.275752 | + | 0.0148522i | ||||
\(259\) | −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 | ||||
\(262\) | −0.997770 | − | 3.72373i | −0.0616424 | − | 0.230053i | ||||
\(263\) | −16.2993 | − | 9.41043i | −1.00506 | − | 0.580272i | −0.0953187 | − | 0.995447i | \(-0.530387\pi\) |
−0.909742 | + | 0.415175i | \(0.863720\pi\) | |||||||
\(264\) | −10.7242 | − | 2.26327i | −0.660031 | − | 0.139295i | ||||
\(265\) | 7.36464 | − | 7.36464i | 0.452406 | − | 0.452406i | ||||
\(266\) | −0.181760 | + | 6.13222i | −0.0111444 | + | 0.375991i | ||||
\(267\) | 5.58982 | − | 0.301072i | 0.342092 | − | 0.0184253i | ||||
\(268\) | −0.845785 | + | 3.15651i | −0.0516645 | + | 0.192815i | ||||
\(269\) | 4.49802 | + | 2.59693i | 0.274249 | + | 0.158338i | 0.630817 | − | 0.775932i | \(-0.282720\pi\) |
−0.356568 | + | 0.934269i | \(0.616053\pi\) | |||||||
\(270\) | 15.8933 | − | 7.15910i | 0.967236 | − | 0.435689i | ||||
\(271\) | 1.12592 | − | 4.20199i | 0.0683948 | − | 0.255253i | −0.923260 | − | 0.384176i | \(-0.874485\pi\) |
0.991655 | + | 0.128923i | \(0.0411522\pi\) | |||||||
\(272\) | 4.06849 | 0.246689 | ||||||||
\(273\) | 11.8777 | + | 11.4857i | 0.718868 | + | 0.695146i | ||||
\(274\) | 2.45252 | 0.148162 | ||||||||
\(275\) | 10.2424 | − | 38.2251i | 0.617639 | − | 2.30506i | ||||
\(276\) | 2.94798 | + | 9.02842i | 0.177448 | + | 0.543447i | ||||
\(277\) | 6.13780 | + | 3.54366i | 0.368785 | + | 0.212918i | 0.672928 | − | 0.739708i | \(-0.265037\pi\) |
−0.304143 | + | 0.952627i | \(0.598370\pi\) | |||||||
\(278\) | 4.47444 | − | 16.6989i | 0.268359 | − | 1.00153i | ||||
\(279\) | −4.00206 | − | 3.22165i | −0.239597 | − | 0.192875i | ||||
\(280\) | −7.55162 | − | 4.66357i | −0.451296 | − | 0.278702i | ||||
\(281\) | 7.47121 | − | 7.47121i | 0.445695 | − | 0.445695i | −0.448226 | − | 0.893920i | \(-0.647944\pi\) |
0.893920 | + | 0.448226i | \(0.147944\pi\) | |||||||
\(282\) | −3.51157 | + | 16.6392i | −0.209111 | + | 0.990847i | ||||
\(283\) | −10.1109 | − | 5.83755i | −0.601033 | − | 0.347006i | 0.168415 | − | 0.985716i | \(-0.446135\pi\) |
−0.769448 | + | 0.638710i | \(0.779468\pi\) | |||||||
\(284\) | 3.18851 | + | 11.8997i | 0.189203 | + | 0.706116i | ||||
\(285\) | 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 | ||||
\(288\) | 1.88120 | − | 2.33690i | 0.110851 | − | 0.137703i | ||||
\(289\) | 0.223679 | + | 0.387423i | 0.0131576 | + | 0.0227896i | ||||
\(290\) | 0.214182 | − | 0.370974i | 0.0125772 | − | 0.0217843i | ||||
\(291\) | 2.69589 | − | 5.30999i | 0.158036 | − | 0.311277i | ||||
\(292\) | 4.08124 | + | 1.09357i | 0.238837 | + | 0.0639961i | ||||
\(293\) | −11.5897 | + | 11.5897i | −0.677076 | + | 0.677076i | −0.959338 | − | 0.282261i | \(-0.908916\pi\) |
0.282261 | + | 0.959338i | \(0.408916\pi\) | |||||||
\(294\) | −10.4668 | − | 6.11936i | −0.610435 | − | 0.356888i | ||||
\(295\) | −21.4835 | −1.25082 | ||||||||
\(296\) | 3.92516 | + | 6.79858i | 0.228145 | + | 0.395159i | ||||
\(297\) | 30.7483 | + | 11.6501i | 1.78420 | + | 0.676006i | ||||
\(298\) | 5.08663 | + | 2.93676i | 0.294660 | + | 0.170122i | ||||
\(299\) | 17.1946 | − | 9.75832i | 0.994390 | − | 0.564338i | ||||
\(300\) | 8.06003 | + | 7.23617i | 0.465346 | + | 0.417780i | ||||
\(301\) | −3.21245 | − | 5.96561i | −0.185163 | − | 0.343852i | ||||
\(302\) | − | 10.8925i | − | 0.626794i | ||||||
\(303\) | 0.620618 | − | 2.94072i | 0.0356536 | − | 0.168940i | ||||
\(304\) | −0.600144 | − | 2.23977i | −0.0344206 | − | 0.128460i | ||||
\(305\) | −11.6349 | + | 3.11757i | −0.666214 | + | 0.178512i | ||||
\(306\) | −12.0607 | − | 1.87442i | −0.689464 | − | 0.107153i | ||||
\(307\) | −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 | ||||
\(310\) | 1.48692 | − | 5.54926i | 0.0844513 | − | 0.315177i | ||||
\(311\) | 6.40089 | − | 11.0867i | 0.362961 | − | 0.628667i | −0.625486 | − | 0.780236i | \(-0.715099\pi\) |
0.988447 | + | 0.151569i | \(0.0484325\pi\) | |||||||
\(312\) | −5.54736 | − | 2.86825i | −0.314057 | − | 0.162383i | ||||
\(313\) | −8.15974 | − | 14.1331i | −0.461216 | − | 0.798849i | 0.537806 | − | 0.843069i | \(-0.319253\pi\) |
−0.999022 | + | 0.0442193i | \(0.985920\pi\) | |||||||
\(314\) | 5.27345 | + | 5.27345i | 0.297598 | + | 0.297598i | ||||
\(315\) | 20.2375 | + | 17.3039i | 1.14026 | + | 0.974964i | ||||
\(316\) | − | 6.03668i | − | 0.339590i | ||||||
\(317\) | −0.0940699 | + | 0.351074i | −0.00528349 | + | 0.0197183i | −0.968517 | − | 0.248946i | \(-0.919916\pi\) |
0.963234 | + | 0.268665i | \(0.0865824\pi\) | |||||||
\(318\) | −2.43438 | + | 4.79491i | −0.136513 | + | 0.268885i | ||||
\(319\) | 0.780507 | − | 0.209136i | 0.0437000 | − | 0.0117094i | ||||
\(320\) | 3.24035 | + | 0.868248i | 0.181141 | + | 0.0485365i | ||||
\(321\) | −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 | ||||
\(325\) | 11.4183 | − | 19.4432i | 0.633371 | − | 1.07851i | ||||
\(326\) | −8.03428 | − | 4.63859i | −0.444977 | − | 0.256908i | ||||
\(327\) | −4.99287 | − | 7.66401i | −0.276106 | − | 0.423821i | ||||
\(328\) | −10.0734 | −0.556211 | ||||||||
\(329\) | −25.2796 | + | 5.97689i | −1.39371 | + | 0.329517i | ||||
\(330\) | 1.97752 | + | 36.7153i | 0.108859 | + | 2.02111i | ||||
\(331\) | 13.2172 | + | 3.54154i | 0.726484 | + | 0.194661i | 0.603063 | − | 0.797694i | \(-0.293947\pi\) |
0.123421 | + | 0.992354i | \(0.460613\pi\) | |||||||
\(332\) | 0.144654 | + | 0.539855i | 0.00793891 | + | 0.0296284i | ||||
\(333\) | −8.50359 | − | 21.9622i | −0.465994 | − | 1.20352i | ||||
\(334\) | −5.55521 | − | 9.62191i | −0.303968 | − | 0.526487i | ||||
\(335\) | 10.9625 | 0.598948 | ||||||||
\(336\) | 4.45381 | + | 1.07870i | 0.242975 | + | 0.0588480i | ||||
\(337\) | 6.55986i | 0.357338i | 0.983909 | + | 0.178669i | \(0.0571792\pi\) | ||||
−0.983909 | + | 0.178669i | \(0.942821\pi\) | |||||||
\(338\) | −3.55018 | + | 12.5058i | −0.193104 | + | 0.680228i | ||||
\(339\) | 0.326131 | + | 0.998803i | 0.0177130 | + | 0.0542475i | ||||
\(340\) | −3.53246 | − | 13.1833i | −0.191575 | − | 0.714966i | ||||
\(341\) | 9.38517 | − | 5.41853i | 0.508235 | − | 0.293430i | ||||
\(342\) | 0.747180 | + | 6.91609i | 0.0404029 | + | 0.373980i | ||||
\(343\) | 1.64418 | − | 18.4471i | 0.0887774 | − | 0.996051i | ||||
\(344\) | 1.81085 | + | 1.81085i | 0.0976344 | + | 0.0976344i | ||||
\(345\) | 26.6956 | − | 17.3914i | 1.43724 | − | 0.936321i | ||||
\(346\) | −14.3973 | + | 3.85776i | −0.774006 | + | 0.207394i | ||||
\(347\) | −18.0884 | − | 10.4434i | −0.971038 | − | 0.560629i | −0.0714856 | − | 0.997442i | \(-0.522774\pi\) |
−0.899553 | + | 0.436812i | \(0.856107\pi\) | |||||||
\(348\) | −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 | ||||
\(351\) | 15.1232 | + | 11.0584i | 0.807217 | + | 0.590255i | ||||
\(352\) | 3.16401 | + | 5.48023i | 0.168642 | + | 0.292097i | ||||
\(353\) | 17.7995 | − | 4.76936i | 0.947372 | − | 0.253848i | 0.248125 | − | 0.968728i | \(-0.420185\pi\) |
0.699247 | + | 0.714880i | \(0.253519\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −5.25942 | − | 17.8870i | −0.278358 | − | 0.946679i | ||||
\(358\) | −6.88445 | − | 6.88445i | −0.363854 | − | 0.363854i | ||||
\(359\) | −8.34901 | − | 2.23711i | −0.440644 | − | 0.118070i | 0.0316744 | − | 0.999498i | \(-0.489916\pi\) |
−0.472318 | + | 0.881428i | \(0.656583\pi\) | |||||||
\(360\) | −9.20571 | − | 4.06672i | −0.485183 | − | 0.214335i | ||||
\(361\) | −11.7981 | − | 6.81163i | −0.620952 | − | 0.358507i | ||||
\(362\) | 0.399022 | + | 0.106918i | 0.0209721 | + | 0.00561947i | ||||
\(363\) | −33.6067 | + | 37.4330i | −1.76389 | + | 1.96472i | ||||
\(364\) | 0.353202 | − | 9.53285i | 0.0185128 | − | 0.499657i | ||||
\(365\) | − | 14.1741i | − | 0.741907i | ||||||
\(366\) | 5.21093 | − | 3.39476i | 0.272380 | − | 0.177447i | ||||
\(367\) | 12.2707 | − | 21.2535i | 0.640527 | − | 1.10943i | −0.344788 | − | 0.938680i | \(-0.612049\pi\) |
0.985315 | − | 0.170745i | \(-0.0546174\pi\) | |||||||
\(368\) | 2.74170 | − | 4.74876i | 0.142921 | − | 0.247546i | ||||
\(369\) | 29.8617 | + | 4.64097i | 1.55454 | + | 0.241599i | ||||
\(370\) | 18.6217 | − | 18.6217i | 0.968098 | − | 0.968098i | ||||
\(371\) | −8.21064 | − | 0.243365i | −0.426275 | − | 0.0126349i | ||||
\(372\) | 0.159532 | + | 2.96193i | 0.00827135 | + | 0.153569i | ||||
\(373\) | 0.647930 | + | 1.12225i | 0.0335485 | + | 0.0581078i | 0.882312 | − | 0.470665i | \(-0.155986\pi\) |
−0.848764 | + | 0.528772i | \(0.822652\pi\) | |||||||
\(374\) | 12.8728 | − | 22.2963i | 0.665635 | − | 1.15291i | ||||
\(375\) | 3.29770 | − | 6.49534i | 0.170292 | − | 0.335418i | ||||
\(376\) | 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 | ||||
\(382\) | 6.29337 | + | 23.4872i | 0.321997 | + | 1.20171i | ||||
\(383\) | 2.37338 | − | 8.85758i | 0.121274 | − | 0.452601i | −0.878405 | − | 0.477916i | \(-0.841392\pi\) |
0.999680 | + | 0.0253151i | \(0.00805891\pi\) | |||||||
\(384\) | −1.72954 | + | 0.0931546i | −0.0882604 | + | 0.00475378i | ||||
\(385\) | −49.4508 | + | 26.6290i | −2.52025 | + | 1.35714i | ||||
\(386\) | 0.871878i | 0.0443774i | ||||||||
\(387\) | −4.53382 | − | 6.20238i | −0.230467 | − | 0.315285i | ||||
\(388\) | −3.32105 | + | 0.889874i | −0.168601 | + | 0.0451765i | ||||
\(389\) | −17.7461 | + | 30.7371i | −0.899761 | + | 1.55843i | −0.0719626 | + | 0.997407i | \(0.522926\pi\) |
−0.827799 | + | 0.561025i | \(0.810407\pi\) | |||||||
\(390\) | −4.47763 | + | 20.4657i | −0.226734 | + | 1.03632i | ||||
\(391\) | −22.3092 | −1.12822 | ||||||||
\(392\) | 1.40808 | + | 6.85692i | 0.0711189 | + | 0.346327i | ||||
\(393\) | 4.46073 | − | 4.96860i | 0.225014 | − | 0.250633i | ||||
\(394\) | −4.10326 | + | 2.36902i | −0.206719 | + | 0.119349i | ||||
\(395\) | −19.5609 | + | 5.24134i | −0.984217 | + | 0.263720i | ||||
\(396\) | −6.85461 | − | 17.7034i | −0.344457 | − | 0.889627i | ||||
\(397\) | −8.71460 | + | 32.5233i | −0.437373 | + | 1.63230i | 0.297949 | + | 0.954582i | \(0.403697\pi\) |
−0.735322 | + | 0.677718i | \(0.762969\pi\) | |||||||
\(398\) | 16.1151 | − | 16.1151i | 0.807778 | − | 0.807778i | ||||
\(399\) | −9.07124 | + | 5.53391i | −0.454130 | + | 0.277042i | ||||
\(400\) | − | 6.25370i | − | 0.312685i | ||||||
\(401\) | 14.5053 | + | 3.88669i | 0.724362 | + | 0.194092i | 0.602117 | − | 0.798408i | \(-0.294324\pi\) |
0.122245 | + | 0.992500i | \(0.460991\pi\) | |||||||
\(402\) | −5.38054 | + | 1.75687i | −0.268357 | + | 0.0876245i | ||||
\(403\) | 5.97596 | − | 1.55393i | 0.297684 | − | 0.0774069i | ||||
\(404\) | −1.50275 | + | 0.867612i | −0.0747645 | + | 0.0431653i | ||||
\(405\) | 25.4159 | + | 16.2966i | 1.26293 | + | 0.809787i | ||||
\(406\) | −0.328778 | + | 0.0777334i | −0.0163170 | + | 0.00385784i | ||||
\(407\) | 49.6770 | 2.46240 | ||||||||
\(408\) | 3.84654 | + | 5.90441i | 0.190432 | + | 0.292312i | ||||
\(409\) | 7.30067 | + | 27.2465i | 0.360995 | + | 1.34725i | 0.872770 | + | 0.488131i | \(0.162321\pi\) |
−0.511775 | + | 0.859119i | \(0.671012\pi\) | |||||||
\(410\) | 8.74622 | + | 32.6413i | 0.431945 | + | 1.61204i | ||||
\(411\) | 2.31872 | + | 3.55922i | 0.114374 | + | 0.175563i | ||||
\(412\) | 12.7916 | 0.630196 | ||||||||
\(413\) | 11.6207 | + | 12.3307i | 0.571819 | + | 0.606752i | ||||
\(414\) | −10.3154 | + | 12.8141i | −0.506972 | + | 0.629781i | ||||
\(415\) | 1.62372 | − | 0.937456i | 0.0797054 | − | 0.0460179i | ||||
\(416\) | 0.907379 | + | 3.48951i | 0.0444879 | + | 0.171087i | ||||
\(417\) | 28.4646 | − | 9.29432i | 1.39392 | − | 0.455145i | ||||
\(418\) | −14.1733 | − | 3.79773i | −0.693239 | − | 0.185753i | ||||
\(419\) | − | 22.9443i | − | 1.12090i | −0.828187 | − | 0.560451i | \(-0.810628\pi\) | ||
0.828187 | − | 0.560451i | \(-0.189372\pi\) | |||||||
\(420\) | −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 | \(0.461593\pi\) | |||||||
\(422\) | 3.55080 | − | 13.2518i | 0.172850 | − | 0.645085i | ||||
\(423\) | −27.4676 | + | 10.6353i | −1.33552 | + | 0.517104i | ||||
\(424\) | 2.99890 | − | 0.803554i | 0.145640 | − | 0.0390240i | ||||
\(425\) | −22.0344 | + | 12.7216i | −1.06883 | + | 0.617087i | ||||
\(426\) | −14.2549 | + | 15.8778i | −0.690651 | + | 0.769284i | ||||
\(427\) | 8.08286 | + | 4.99164i | 0.391157 | + | 0.241562i | ||||
\(428\) | 17.4419 | 0.843088 | ||||||||
\(429\) | −33.2705 | + | 21.3256i | −1.60632 | + | 1.02961i | ||||
\(430\) | 4.29551 | − | 7.44004i | 0.207148 | − | 0.358791i | ||||
\(431\) | 10.4099 | − | 2.78931i | 0.501425 | − | 0.134356i | 0.000763751 | − | 1.00000i | \(-0.499757\pi\) |
0.500661 | + | 0.865643i | \(0.333090\pi\) | |||||||
\(432\) | 5.17000 | + | 0.520678i | 0.248742 | + | 0.0250511i | ||||
\(433\) | 30.1662i | 1.44970i | 0.688909 | + | 0.724848i | \(0.258090\pi\) | ||||
−0.688909 | + | 0.724848i | \(0.741910\pi\) | |||||||
\(434\) | −3.98934 | + | 2.14824i | −0.191495 | + | 0.103119i | ||||
\(435\) | 0.740874 | − | 0.0399040i | 0.0355222 | − | 0.00191325i | ||||
\(436\) | −1.36681 | + | 5.10102i | −0.0654585 | + | 0.244294i | ||||
\(437\) | 3.29083 | + | 12.2815i | 0.157422 | + | 0.587506i | ||||
\(438\) | 2.27156 | + | 6.95682i | 0.108539 | + | 0.332410i | ||||
\(439\) | −25.2577 | + | 14.5825i | −1.20548 | + | 0.695986i | −0.961769 | − | 0.273861i | \(-0.911699\pi\) |
−0.243714 | + | 0.969847i | \(0.578366\pi\) | |||||||
\(440\) | 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 | −0.179828 | − | 0.983698i | \(-0.557554\pi\) |
0.761993 | + | 0.647585i | \(0.224221\pi\) | |||||||
\(444\) | −6.15542 | + | 12.1241i | −0.292123 | + | 0.575384i | ||||
\(445\) | −5.42106 | + | 9.38955i | −0.256983 | + | 0.445107i | ||||
\(446\) | 2.88200 | + | 4.99176i | 0.136466 | + | 0.236367i | ||||
\(447\) | 0.547147 | + | 10.1585i | 0.0258791 | + | 0.480482i | ||||
\(448\) | −1.25441 | − | 2.32948i | −0.0592653 | − | 0.110057i | ||||
\(449\) | 16.7895 | − | 16.7895i | 0.792348 | − | 0.792348i | −0.189528 | − | 0.981875i | \(-0.560696\pi\) |
0.981875 | + | 0.189528i | \(0.0606957\pi\) | |||||||
\(450\) | −2.88117 | + | 18.5385i | −0.135820 | + | 0.873915i | ||||
\(451\) | −31.8724 | + | 55.2046i | −1.50081 | + | 2.59948i | ||||
\(452\) | 0.303311 | − | 0.525349i | 0.0142665 | − | 0.0247104i | ||||
\(453\) | 15.8078 | − | 10.2983i | 0.742715 | − | 0.483856i | ||||
\(454\) | 17.0521i | 0.800295i | ||||||||
\(455\) | −31.1964 | + | 7.13238i | −1.46251 | + | 0.334371i | ||||
\(456\) | 2.68306 | − | 2.98854i | 0.125646 | − | 0.139951i | ||||
\(457\) | 37.2400 | + | 9.97842i | 1.74201 | + | 0.466771i | 0.982893 | − | 0.184179i | \(-0.0589627\pi\) |
0.759120 | + | 0.650950i | \(0.225629\pi\) | |||||||
\(458\) | 8.60563 | + | 4.96846i | 0.402115 | + | 0.232161i | ||||
\(459\) | −8.68249 | − | 19.2753i | −0.405264 | − | 0.899692i | ||||
\(460\) | −17.7681 | − | 4.76095i | −0.828442 | − | 0.221980i | ||||
\(461\) | −2.27891 | − | 2.27891i | −0.106140 | − | 0.106140i | 0.652043 | − | 0.758182i | \(-0.273912\pi\) |
−0.758182 | + | 0.652043i | \(0.773912\pi\) | |||||||
\(462\) | 20.0034 | − | 20.9949i | 0.930644 | − | 0.976769i | ||||
\(463\) | 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 | ||||
\(466\) | −17.7593 | + | 4.75860i | −0.822685 | + | 0.220438i | ||||
\(467\) | −0.964739 | − | 1.67098i | −0.0446428 | − | 0.0773236i | 0.842841 | − | 0.538163i | \(-0.180882\pi\) |
−0.887483 | + | 0.460840i | \(0.847548\pi\) | |||||||
\(468\) | −1.08218 | − | 10.7624i | −0.0500237 | − | 0.497491i | ||||
\(469\) | −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 | ||||
\(473\) | 15.6534 | − | 4.19432i | 0.719744 | − | 0.192855i | ||||
\(474\) | 8.76074 | − | 5.70736i | 0.402394 | − | 0.262148i | ||||
\(475\) | 10.2537 | + | 10.2537i | 0.470473 | + | 0.470473i | ||||
\(476\) | −5.65594 | + | 9.15854i | −0.259239 | + | 0.419781i | ||||
\(477\) | −9.26020 | + | 1.00043i | −0.423995 | + | 0.0458063i | ||||
\(478\) | 3.77043 | − | 2.17686i | 0.172455 | − | 0.0995672i | ||||
\(479\) | −1.22112 | − | 4.55727i | −0.0557942 | − | 0.208227i | 0.932401 | − | 0.361425i | \(-0.117710\pi\) |
−0.988196 | + | 0.153198i | \(0.951043\pi\) | |||||||
\(480\) | 1.80353 | + | 5.52344i | 0.0823193 | + | 0.252109i | ||||
\(481\) | 27.2853 | + | 7.52799i | 1.24410 | + | 0.343247i | ||||
\(482\) | − | 17.8381i | − | 0.812505i | ||||||
\(483\) | −24.4220 | − | 5.91496i | −1.11124 | − | 0.269140i | ||||
\(484\) | 29.0439 | 1.32018 | ||||||||
\(485\) | 5.76700 | + | 9.98873i | 0.261866 | + | 0.453565i | ||||
\(486\) | −15.0861 | − | 3.92540i | −0.684321 | − | 0.178060i | ||||
\(487\) | 4.42349 | + | 16.5087i | 0.200448 | + | 0.748081i | 0.990789 | + | 0.135414i | \(0.0432364\pi\) |
−0.790342 | + | 0.612667i | \(0.790097\pi\) | |||||||
\(488\) | −3.46830 | − | 0.929327i | −0.157002 | − | 0.0420687i | ||||
\(489\) | −0.864212 | − | 16.0453i | −0.0390810 | − | 0.725593i | ||||
\(490\) | 20.9962 | − | 10.5162i | 0.948512 | − | 0.475072i | ||||
\(491\) | −24.8371 | −1.12088 | −0.560442 | − | 0.828194i | \(-0.689369\pi\) | ||||
−0.560442 | + | 0.828194i | \(0.689369\pi\) | |||||||
\(492\) | −9.52387 | − | 14.6191i | −0.429369 | − | 0.659078i | ||||
\(493\) | −0.449914 | − | 0.259758i | −0.0202631 | − | 0.0116989i | ||||
\(494\) | −7.20924 | − | 4.23372i | −0.324359 | − | 0.190484i | ||||
\(495\) | −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 | ||||
\(499\) | −26.7085 | − | 7.15652i | −1.19564 | − | 0.320370i | −0.394525 | − | 0.918885i | \(-0.629091\pi\) |
−0.801111 | + | 0.598516i | \(0.795757\pi\) | |||||||
\(500\) | −4.06241 | + | 1.08852i | −0.181677 | + | 0.0486801i | ||||
\(501\) | 8.71166 | − | 17.1590i | 0.389208 | − | 0.766608i | ||||
\(502\) | 6.56519 | − | 24.5016i | 0.293019 | − | 1.09356i | ||||
\(503\) | 27.6359i | 1.23222i | 0.787658 | + | 0.616112i | \(0.211293\pi\) | ||||
−0.787658 | + | 0.616112i | \(0.788707\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | −21.5056 | + | 6.67140i | −0.955099 | + | 0.296287i | ||||
\(508\) | −10.2555 | + | 17.7631i | −0.455015 | + | 0.788109i | ||||
\(509\) | −0.917520 | + | 3.42423i | −0.0406684 | + | 0.151776i | −0.983274 | − | 0.182131i | \(-0.941701\pi\) |
0.942606 | + | 0.333907i | \(0.108367\pi\) | |||||||
\(510\) | 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 | ||||
\(513\) | −9.33057 | + | 7.62314i | −0.411955 | + | 0.336570i | ||||
\(514\) | 21.8368 | − | 5.85115i | 0.963179 | − | 0.258083i | ||||
\(515\) | −11.1063 | − | 41.4492i | −0.489401 | − | 1.82647i | ||||
\(516\) | −0.915937 | + | 4.34006i | −0.0403219 | + | 0.191060i | ||||
\(517\) | − | 62.1299i | − | 2.73247i | ||||||
\(518\) | −20.7609 | − | 0.615356i | −0.912181 | − | 0.0270372i | ||||
\(519\) | −19.2105 | − | 17.2469i | −0.843247 | − | 0.757054i | ||||
\(520\) | 10.5194 | − | 5.96998i | 0.461305 | − | 0.261801i | ||||
\(521\) | −4.31187 | − | 2.48946i | −0.188906 | − | 0.109065i | 0.402564 | − | 0.915392i | \(-0.368119\pi\) |
−0.591471 | + | 0.806327i | \(0.701452\pi\) | |||||||
\(522\) | −0.357234 | + | 0.138318i | −0.0156357 | + | 0.00605403i | ||||
\(523\) | −0.204767 | − | 0.354667i | −0.00895385 | − | 0.0155085i | 0.861514 | − | 0.507734i | \(-0.169517\pi\) |
−0.870468 | + | 0.492226i | \(0.836183\pi\) | |||||||
\(524\) | −3.85509 | −0.168410 | ||||||||
\(525\) | −27.4941 | + | 8.08428i | −1.19994 | + | 0.352827i | ||||
\(526\) | −13.3084 | + | 13.3084i | −0.580272 | + | 0.580272i | ||||
\(527\) | −6.73009 | − | 1.80332i | −0.293167 | − | 0.0785540i | ||||
\(528\) | −4.96179 | + | 9.77304i | −0.215934 | + | 0.425317i | ||||
\(529\) | −3.53383 | + | 6.12077i | −0.153645 | + | 0.266121i | ||||
\(530\) | −5.20758 | − | 9.01980i | −0.226203 | − | 0.391795i | ||||
\(531\) | 14.9657 | + | 12.0474i | 0.649456 | + | 0.522810i | ||||
\(532\) | 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 | ||||
\(535\) | −15.1439 | − | 56.5179i | −0.654730 | − | 2.44348i | ||||
\(536\) | 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 | ||||
\(539\) | 42.0326 | + | 13.9787i | 1.81047 | + | 0.602107i | ||||
\(540\) | −2.80167 | − | 17.2047i | −0.120565 | − | 0.740371i | ||||
\(541\) | 7.96540 | − | 29.7273i | 0.342459 | − | 1.27807i | −0.553094 | − | 0.833119i | \(-0.686553\pi\) |
0.895553 | − | 0.444956i | \(-0.146781\pi\) | |||||||
\(542\) | −3.76740 | − | 2.17511i | −0.161824 | − | 0.0934290i | ||||
\(543\) | 0.222090 | + | 0.680166i | 0.00953077 | + | 0.0291887i | ||||
\(544\) | 1.05300 | − | 3.92986i | 0.0451472 | − | 0.168492i | ||||
\(545\) | 17.7158 | 0.758862 | ||||||||
\(546\) | 14.1685 | − | 8.50021i | 0.606356 | − | 0.363776i | ||||
\(547\) | 11.8216 | 0.505453 | 0.252727 | − | 0.967538i | \(-0.418673\pi\) | ||||
0.252727 | + | 0.967538i | \(0.418673\pi\) | |||||||
\(548\) | 0.634758 | − | 2.36895i | 0.0271155 | − | 0.101197i | ||||
\(549\) | 9.85330 | + | 4.35280i | 0.420529 | + | 0.185773i | ||||
\(550\) | −34.2717 | − | 19.7868i | −1.46135 | − | 0.843711i | ||||
\(551\) | −0.0766338 | + | 0.286001i | −0.00326471 | + | 0.0121841i | ||||
\(552\) | 9.48378 | − | 0.510804i | 0.403656 | − | 0.0217413i | ||||
\(553\) | 13.5891 | + | 8.39207i | 0.577867 | + | 0.356867i | ||||
\(554\) | 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 | ||||
\(557\) | −2.81630 | − | 10.5106i | −0.119330 | − | 0.445347i | 0.880244 | − | 0.474521i | \(-0.157379\pi\) |
−0.999574 | + | 0.0291745i | \(0.990712\pi\) | |||||||
\(558\) | −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 | ||||
\(561\) | 44.5280 | − | 2.39831i | 1.87997 | − | 0.101257i | ||||
\(562\) | −5.28294 | − | 9.15032i | −0.222847 | − | 0.385983i | ||||
\(563\) | −10.7017 | + | 18.5359i | −0.451024 | + | 0.781196i | −0.998450 | − | 0.0556577i | \(-0.982274\pi\) |
0.547426 | + | 0.836854i | \(0.315608\pi\) | |||||||
\(564\) | 15.1633 | + | 7.69845i | 0.638491 | + | 0.324163i | ||||
\(565\) | −1.96566 | − | 0.526698i | −0.0826961 | − | 0.0221583i | ||||
\(566\) | −8.25554 | + | 8.25554i | −0.347006 | + | 0.347006i | ||||
\(567\) | −4.39422 | − | 23.4028i | −0.184540 | − | 0.982825i | ||||
\(568\) | 12.3195 | 0.516913 | ||||||||
\(569\) | −6.50476 | − | 11.2666i | −0.272694 | − | 0.472319i | 0.696857 | − | 0.717210i | \(-0.254581\pi\) |
−0.969551 | + | 0.244891i | \(0.921248\pi\) | |||||||
\(570\) | −12.0135 | − | 6.09926i | −0.503189 | − | 0.255470i | ||||
\(571\) | 30.0569 | + | 17.3534i | 1.25784 | + | 0.726216i | 0.972655 | − | 0.232256i | \(-0.0746107\pi\) |
0.285188 | + | 0.958472i | \(0.407944\pi\) | |||||||
\(572\) | 21.9943 | + | 6.06820i | 0.919626 | + | 0.253724i | ||||
\(573\) | −28.1357 | + | 31.3391i | −1.17539 | + | 1.30921i | ||||
\(574\) | 14.0038 | − | 22.6761i | 0.584509 | − | 0.946484i | ||||
\(575\) | 34.2915i | 1.43006i | ||||||||
\(576\) | −1.77038 | − | 2.42193i | −0.0737659 | − | 0.100914i | ||||
\(577\) | 10.5029 | + | 39.1973i | 0.437240 | + | 1.63180i | 0.735648 | + | 0.677364i | \(0.236878\pi\) |
−0.298407 | + | 0.954439i | \(0.596455\pi\) | |||||||
\(578\) | 0.432114 | − | 0.115785i | 0.0179736 | − | 0.00481600i | ||||
\(579\) | −1.26531 | + | 0.824314i | −0.0525847 | + | 0.0342573i | ||||
\(580\) | −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 | ||||
\(583\) | 5.08491 | − | 18.9771i | 0.210595 | − | 0.785952i | ||||
\(584\) | 2.11261 | − | 3.65914i | 0.0874203 | − | 0.151416i | ||||
\(585\) | −33.9342 | + | 12.8510i | −1.40301 | + | 0.531326i | ||||
\(586\) | 8.19514 | + | 14.1944i | 0.338538 | + | 0.586365i | ||||
\(587\) | 11.6106 | + | 11.6106i | 0.479223 | + | 0.479223i | 0.904883 | − | 0.425660i | \(-0.139958\pi\) |
−0.425660 | + | 0.904883i | \(0.639958\pi\) | |||||||
\(588\) | −8.61985 | + | 8.52633i | −0.355476 | + | 0.351620i | ||||
\(589\) | 3.97103i | 0.163623i | ||||||||
\(590\) | −5.56034 | + | 20.7515i | −0.228915 | + | 0.854324i | ||||
\(591\) | −7.31746 | − | 3.71509i | −0.301000 | − | 0.152818i | ||||
\(592\) | 7.58283 | − | 2.03181i | 0.311652 | − | 0.0835070i | ||||
\(593\) | −36.0042 | − | 9.64729i | −1.47851 | − | 0.396167i | −0.572673 | − | 0.819784i | \(-0.694094\pi\) |
−0.905841 | + | 0.423617i | \(0.860760\pi\) | |||||||
\(594\) | 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 | ||||
\(598\) | −4.97552 | − | 19.1344i | −0.203464 | − | 0.782462i | ||||
\(599\) | 36.8375 | + | 21.2681i | 1.50514 | + | 0.868993i | 0.999982 | + | 0.00596522i | \(0.00189880\pi\) |
0.505157 | + | 0.863027i | \(0.331435\pi\) | |||||||
\(600\) | 9.07569 | − | 5.91254i | 0.370513 | − | 0.241378i | ||||
\(601\) | −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 | ||||
\(603\) | −7.63666 | − | 6.14749i | −0.310989 | − | 0.250345i | ||||
\(604\) | −10.5214 | − | 2.81919i | −0.428108 | − | 0.114711i | ||||
\(605\) | −25.2173 | − | 94.1122i | −1.02523 | − | 3.82620i | ||||
\(606\) | −2.67989 | − | 1.36059i | −0.108863 | − | 0.0552700i | ||||
\(607\) | −1.43203 | − | 2.48035i | −0.0581243 | − | 0.100674i | 0.835499 | − | 0.549492i | \(-0.185179\pi\) |
−0.893623 | + | 0.448818i | \(0.851845\pi\) | |||||||
\(608\) | −2.31878 | −0.0940389 | ||||||||
\(609\) | −0.423652 | − | 0.403647i | −0.0171673 | − | 0.0163566i | ||||
\(610\) | 12.0454i | 0.487703i | ||||||||
\(611\) | 9.41509 | − | 34.1251i | 0.380894 | − | 1.38055i | ||||
\(612\) | −4.93208 | + | 11.1646i | −0.199368 | + | 0.451302i | ||||
\(613\) | 5.09834 | + | 19.0273i | 0.205920 | + | 0.768504i | 0.989167 | + | 0.146794i | \(0.0468953\pi\) |
−0.783247 | + | 0.621711i | \(0.786438\pi\) | |||||||
\(614\) | −22.8476 | + | 13.1910i | −0.922052 | + | 0.532347i | ||||
\(615\) | −39.1017 | + | 43.5536i | −1.57673 | + | 1.75625i | ||||
\(616\) | −16.7350 | − | 0.496029i | −0.674273 | − | 0.0199856i | ||||
\(617\) | 24.8368 | + | 24.8368i | 0.999893 | + | 0.999893i | 1.00000 | 0.000106988i | \(-3.40553e-5\pi\) | |
−0.000106988 | 1.00000i | \(0.500034\pi\) | ||||||||
\(618\) | 12.0938 | + | 18.5638i | 0.486482 | + | 0.746746i | ||||
\(619\) | −39.1040 | + | 10.4779i | −1.57172 | + | 0.421142i | −0.936352 | − | 0.351063i | \(-0.885820\pi\) |
−0.635373 | + | 0.772206i | \(0.719153\pi\) | |||||||
\(620\) | −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 | ||||
\(624\) | −4.20628 | + | 4.61598i | −0.168386 | + | 0.184787i | ||||
\(625\) | −8.57988 | − | 14.8608i | −0.343195 | − | 0.594431i | ||||
\(626\) | −15.7634 | + | 4.22379i | −0.630033 | + | 0.168817i | ||||
\(627\) | −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 | ||||
\(630\) | 21.9521 | − | 15.0694i | 0.874594 | − | 0.600379i | ||||
\(631\) | −12.0035 | − | 12.0035i | −0.477850 | − | 0.477850i | 0.426593 | − | 0.904444i | \(-0.359714\pi\) |
−0.904444 | + | 0.426593i | \(0.859714\pi\) | |||||||
\(632\) | −5.83099 | − | 1.56241i | −0.231944 | − | 0.0621492i | ||||
\(633\) | 22.5887 | − | 7.37572i | 0.897821 | − | 0.293159i | ||||
\(634\) | 0.314764 | + | 0.181729i | 0.0125009 | + | 0.00721738i | ||||
\(635\) | 66.4628 | + | 17.8087i | 2.63750 | + | 0.706715i | ||||
\(636\) | 4.00146 | + | 3.59245i | 0.158668 | + | 0.142450i | ||||
\(637\) | 20.9683 | + | 14.0475i | 0.830794 | + | 0.556581i | ||||
\(638\) | − | 0.808040i | − | 0.0319906i | ||||||
\(639\) | −36.5200 | − | 5.67576i | −1.44471 | − | 0.224530i | ||||
\(640\) | 1.67733 | − | 2.90521i | 0.0663022 | − | 0.114839i | ||||
\(641\) | −12.8018 | + | 22.1734i | −0.505641 | + | 0.875795i | 0.494338 | + | 0.869270i | \(0.335411\pi\) |
−0.999979 | + | 0.00652568i | \(0.997923\pi\) | |||||||
\(642\) | 16.4904 | + | 25.3127i | 0.650825 | + | 0.999011i | ||||
\(643\) | 0.384715 | − | 0.384715i | 0.0151717 | − | 0.0151717i | −0.699480 | − | 0.714652i | \(-0.746585\pi\) |
0.714652 | + | 0.699480i | \(0.246585\pi\) | |||||||
\(644\) | 6.87843 | + | 12.7734i | 0.271048 | + | 0.503344i | ||||
\(645\) | 14.8585 | − | 0.800293i | 0.585055 | − | 0.0315115i | ||||
\(646\) | 4.71697 | + | 8.17003i | 0.185587 | + | 0.321446i | ||||
\(647\) | 0.186170 | − | 0.322457i | 0.00731911 | − | 0.0126771i | −0.862343 | − | 0.506325i | \(-0.831004\pi\) |
0.869662 | + | 0.493648i | \(0.164337\pi\) | |||||||
\(648\) | 4.13232 | + | 7.99524i | 0.162333 | + | 0.314083i | ||||
\(649\) | −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 | −0.368005 | − | 0.929824i | \(-0.619959\pi\) |
0.621249 | + | 0.783613i | \(0.286626\pi\) | |||||||
\(654\) | −8.69511 | + | 2.83915i | −0.340006 | + | 0.111019i | ||||
\(655\) | 3.34717 | + | 12.4918i | 0.130785 | + | 0.488096i | ||||
\(656\) | −2.60719 | + | 9.73017i | −0.101794 | + | 0.379899i | ||||
\(657\) | −7.94846 | + | 9.87389i | −0.310099 | + | 0.385217i | ||||
\(658\) | −0.769612 | + | 25.9652i | −0.0300026 | + | 1.01223i | ||||
\(659\) | − | 32.4190i | − | 1.26286i | −0.775431 | − | 0.631432i | \(-0.782468\pi\) | ||
0.775431 | − | 0.631432i | \(-0.217532\pi\) | |||||||
\(660\) | 35.9761 | + | 7.59249i | 1.40037 | + | 0.295537i | ||||
\(661\) | −20.9552 | + | 5.61492i | −0.815061 | + | 0.218395i | −0.642186 | − | 0.766549i | \(-0.721972\pi\) |
−0.172875 | + | 0.984944i | \(0.555306\pi\) | |||||||
\(662\) | 6.84173 | − | 11.8502i | 0.265911 | − | 0.460572i | ||||
\(663\) | 24.8206 | + | 5.43043i | 0.963953 | + | 0.210901i | ||||
\(664\) | 0.558899 | 0.0216895 | ||||||||
\(665\) | 0.609742 | − | 20.5715i | 0.0236448 | − | 0.797727i | ||||
\(666\) | −23.4147 | + | 2.52961i | −0.907302 | + | 0.0980204i | ||||
\(667\) | −0.606381 | + | 0.350094i | −0.0234792 | + | 0.0135557i | ||||
\(668\) | −10.7318 | + | 2.87559i | −0.415228 | + | 0.111260i | ||||
\(669\) | −4.51953 | + | 8.90194i | −0.174735 | + | 0.344169i | ||||
\(670\) | 2.83732 | − | 10.5890i | 0.109615 | − | 0.409089i | ||||
\(671\) | −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 | \(0.858335\pi\) | |||||||
\(674\) | 6.33634 | + | 1.69782i | 0.244067 | + | 0.0653975i | ||||
\(675\) | −29.6281 | + | 13.3459i | −1.14039 | + | 0.513683i | ||||
\(676\) | 11.1609 | + | 6.66596i | 0.429264 | + | 0.256383i | ||||
\(677\) | 21.2839 | − | 12.2883i | 0.818006 | − | 0.472276i | −0.0317225 | − | 0.999497i | \(-0.510099\pi\) |
0.849728 | + | 0.527221i | \(0.176766\pi\) | |||||||
\(678\) | 1.04918 | − | 0.0565096i | 0.0402934 | − | 0.00217024i | ||||
\(679\) | 2.61368 | − | 8.71307i | 0.100304 | − | 0.334377i | ||||
\(680\) | −13.6484 | −0.523392 | ||||||||
\(681\) | −24.7469 | + | 16.1218i | −0.948303 | + | 0.617790i | ||||
\(682\) | −2.80484 | − | 10.4678i | −0.107403 | − | 0.400833i | ||||
\(683\) | 8.20161 | + | 30.6088i | 0.313826 | + | 1.17121i | 0.925078 | + | 0.379778i | \(0.124000\pi\) |
−0.611252 | + | 0.791436i | \(0.709334\pi\) | |||||||
\(684\) | 6.87382 | + | 1.06830i | 0.262827 | + | 0.0408473i | ||||
\(685\) | −8.22735 | −0.314351 | ||||||||
\(686\) | −17.3930 | − | 6.36263i | −0.664068 | − | 0.242926i | ||||
\(687\) | 0.925671 | + | 17.1864i | 0.0353165 | + | 0.655700i | ||||
\(688\) | 2.21783 | − | 1.28046i | 0.0845539 | − | 0.0488172i | ||||
\(689\) | 5.66867 | − | 9.65270i | 0.215959 | − | 0.367739i | ||||
\(690\) | −9.88945 | − | 30.2872i | −0.376485 | − | 1.15301i | ||||
\(691\) | 11.0866 | + | 2.97064i | 0.421753 | + | 0.113008i | 0.463453 | − | 0.886122i | \(-0.346610\pi\) |
−0.0416992 | + | 0.999130i | \(0.513277\pi\) | |||||||
\(692\) | 14.9052i | 0.566612i | ||||||||
\(693\) | 49.3810 | + | 9.18051i | 1.87583 | + | 0.348739i | ||||
\(694\) | −14.7691 | + | 14.7691i | −0.560629 | + | 0.560629i | ||||
\(695\) | −15.0102 | + | 56.0189i | −0.569370 | + | 2.12492i | ||||
\(696\) | 0.197209 | + | 0.100123i | 0.00747518 | + | 0.00379516i | ||||
\(697\) | 39.5871 | − | 10.6073i | 1.49947 | − | 0.401782i | ||||
\(698\) | 3.94161 | − | 2.27569i | 0.149192 | − | 0.0861360i | ||||
\(699\) | −23.6964 | − | 21.2743i | −0.896281 | − | 0.804667i | ||||
\(700\) | 14.0776 | + | 8.69376i | 0.532084 | + | 0.328593i | ||||
\(701\) | 10.1192 | 0.382196 | 0.191098 | − | 0.981571i | \(-0.438795\pi\) | ||||
0.191098 | + | 0.981571i | \(0.438795\pi\) | |||||||
\(702\) | 14.5958 | − | 11.7458i | 0.550882 | − | 0.443315i | ||||
\(703\) | −9.10158 | + | 15.7644i | −0.343273 | + | 0.594566i | ||||
\(704\) | 6.11240 | − | 1.63781i | 0.230370 | − | 0.0617274i | ||||
\(705\) | 11.7801 | − | 55.8186i | 0.443664 | − | 2.10225i | ||||
\(706\) | − | 18.4274i | − | 0.693525i | ||||||
\(707\) | 0.136017 | − | 4.58896i | 0.00511546 | − | 0.172585i | ||||
\(708\) | −0.596570 | − | 11.0762i | −0.0224205 | − | 0.416267i | ||||
\(709\) | −7.59719 | + | 28.3531i | −0.285318 | + | 1.06482i | 0.663288 | + | 0.748364i | \(0.269160\pi\) |
−0.948606 | + | 0.316459i | \(0.897506\pi\) | |||||||
\(710\) | −10.6963 | − | 39.9193i | −0.401427 | − | 1.49815i | ||||
\(711\) | 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 | ||||
\(717\) | 6.72391 | + | 3.41374i | 0.251109 | + | 0.127488i | ||||
\(718\) | −4.32177 | + | 7.48552i | −0.161287 | + | 0.279357i | ||||
\(719\) | 20.6861 | + | 35.8293i | 0.771460 | + | 1.33621i | 0.936763 | + | 0.349966i | \(0.113807\pi\) |
−0.165302 | + | 0.986243i | \(0.552860\pi\) | |||||||
\(720\) | −6.31076 | + | 7.83949i | −0.235188 | + | 0.292160i | ||||
\(721\) | −17.7826 | + | 28.7950i | −0.662259 | + | 1.07238i | ||||
\(722\) | −9.63310 | + | 9.63310i | −0.358507 | + | 0.358507i | ||||
\(723\) | 25.8876 | − | 16.8650i | 0.962771 | − | 0.627216i | ||||
\(724\) | 0.206549 | − | 0.357753i | 0.00767633 | − | 0.0132958i | ||||
\(725\) | −0.399275 | + | 0.691564i | −0.0148287 | + | 0.0256840i | ||||
\(726\) | 27.4594 | + | 42.1499i | 1.01911 | + | 1.56433i | ||||
\(727\) | − | 3.12755i | − | 0.115995i | −0.998317 | − | 0.0579973i | \(-0.981529\pi\) | ||
0.998317 | − | 0.0579973i | \(-0.0184715\pi\) | |||||||
\(728\) | −9.11661 | − | 2.80845i | −0.337884 | − | 0.104088i | ||||
\(729\) | −8.56638 | − | 25.6050i | −0.317273 | − | 0.948334i | ||||
\(730\) | −13.6911 | − | 3.66853i | −0.506732 | − | 0.135778i | ||||
\(731\) | −9.02321 | − | 5.20956i | −0.333736 | − | 0.192682i | ||||
\(732\) | −1.93040 | − | 5.91200i | −0.0713496 | − | 0.218514i | ||||
\(733\) | −8.88387 | − | 2.38043i | −0.328133 | − | 0.0879230i | 0.0909916 | − | 0.995852i | \(-0.470996\pi\) |
−0.419125 | + | 0.907929i | \(0.637663\pi\) | |||||||
\(734\) | −17.3534 | − | 17.3534i | −0.640527 | − | 0.640527i | ||||
\(735\) | 35.1124 | + | 20.5283i | 1.29514 | + | 0.757198i | ||||
\(736\) | −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 | ||||
\(739\) | −34.2145 | + | 9.16774i | −1.25860 | + | 0.337241i | −0.825653 | − | 0.564179i | \(-0.809193\pi\) |
−0.432947 | + | 0.901420i | \(0.642526\pi\) | |||||||
\(740\) | −13.1676 | − | 22.8069i | −0.484049 | − | 0.838397i | ||||
\(741\) | −0.671757 | − | 14.4652i | −0.0246776 | − | 0.531392i | ||||
\(742\) | −2.36014 | + | 7.86788i | −0.0866435 | + | 0.288839i | ||||
\(743\) | 1.93223 | + | 1.93223i | 0.0708866 | + | 0.0708866i | 0.741661 | − | 0.670775i | \(-0.234038\pi\) |
−0.670775 | + | 0.741661i | \(0.734038\pi\) | |||||||
\(744\) | 2.90230 | + | 0.612508i | 0.106403 | + | 0.0224556i | ||||
\(745\) | −17.0639 | − | 9.85183i | −0.625172 | − | 0.360943i | ||||
\(746\) | 1.25170 | − | 0.335393i | 0.0458282 | − | 0.0122796i | ||||
\(747\) | −1.65681 | − | 0.257493i | −0.0606194 | − | 0.00942118i | ||||
\(748\) | −18.2048 | − | 18.2048i | −0.665635 | − | 0.665635i | ||||
\(749\) | −24.2474 | + | 39.2634i | −0.885982 | + | 1.43465i | ||||
\(750\) | −5.42051 | − | 4.86645i | −0.197929 | − | 0.177698i | ||||
\(751\) | 44.5053 | − | 25.6951i | 1.62402 | − | 0.937628i | 0.638190 | − | 0.769879i | \(-0.279683\pi\) |
0.985830 | − | 0.167750i | \(-0.0536500\pi\) | |||||||
\(752\) | −2.54114 | − | 9.48367i | −0.0926659 | − | 0.345834i | ||||
\(753\) | 41.7651 | − | 13.6372i | 1.52200 | − | 0.496968i | ||||
\(754\) | 0.122449 | − | 0.443819i | 0.00445934 | − | 0.0161629i | ||||
\(755\) | 36.5406i | 1.32985i | ||||||||
\(756\) | −8.35932 | + | 10.9143i | −0.304025 | + | 0.396949i | ||||
\(757\) | 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 | ||||
\(759\) | 27.2075 | − | 53.5895i | 0.987568 | − | 1.94517i | ||||
\(760\) | 2.01328 | + | 7.51365i | 0.0730292 | + | 0.272549i | ||||
\(761\) | −30.8841 | − | 8.27536i | −1.11955 | − | 0.299981i | −0.348846 | − | 0.937180i | \(-0.613427\pi\) |
−0.770700 | + | 0.637198i | \(0.780093\pi\) | |||||||
\(762\) | −35.4747 | + | 1.91070i | −1.28511 | + | 0.0692173i | ||||
\(763\) | −9.58273 | − | 10.1682i | −0.346918 | − | 0.368112i | ||||
\(764\) | 24.3157 | 0.879711 | ||||||||
\(765\) | 40.4594 | + | 6.28801i | 1.46281 | + | 0.227344i | ||||
\(766\) | −7.94149 | − | 4.58502i | −0.286938 | − | 0.165664i | ||||
\(767\) | −22.3471 | + | 5.81093i | −0.806907 | + | 0.209821i | ||||
\(768\) | −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 | ||||
\(772\) | 0.842169 | + | 0.225659i | 0.0303103 | + | 0.00812163i | ||||
\(773\) | 19.0165 | − | 5.09546i | 0.683977 | − | 0.183271i | 0.0999342 | − | 0.994994i | \(-0.468137\pi\) |
0.584043 | + | 0.811723i | \(0.301470\pi\) | |||||||
\(774\) | −7.16448 | + | 2.77403i | −0.257522 | + | 0.0997106i | ||||
\(775\) | −2.77189 | + | 10.3448i | −0.0995694 | + | 0.371598i | ||||
\(776\) | 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 | ||||
\(780\) | 18.6095 | + | 9.62198i | 0.666325 | + | 0.344522i | ||||
\(781\) | 38.9789 | − | 67.5134i | 1.39477 | − | 2.41582i | ||||
\(782\) | −5.77404 | + | 21.5490i | −0.206479 | + | 0.770591i | ||||
\(783\) | −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 | ||||
\(786\) | −3.64478 | − | 5.59470i | −0.130005 | − | 0.199556i | ||||
\(787\) | −4.00955 | + | 1.07436i | −0.142925 | + | 0.0382966i | −0.329572 | − | 0.944130i | \(-0.606905\pi\) |
0.186647 | + | 0.982427i | \(0.440238\pi\) | |||||||
\(788\) | 1.22629 | + | 4.57659i | 0.0436849 | + | 0.163034i | ||||
\(789\) | −31.8961 | − | 6.73144i | −1.13553 | − | 0.239646i | ||||
\(790\) | 20.2510i | 0.720497i | ||||||||
\(791\) | 0.760952 | + | 1.41311i | 0.0270563 | + | 0.0502444i | ||||
\(792\) | −18.8742 | + | 2.03908i | −0.670667 | + | 0.0724555i | ||||
\(793\) | −11.2594 | + | 6.38995i | −0.399833 | + | 0.226914i | ||||
\(794\) | 29.1596 | + | 16.8353i | 1.03484 | + | 0.597463i | ||||
\(795\) | 8.16651 | − | 16.0853i | 0.289636 | − | 0.570485i | ||||
\(796\) | −11.3951 | − | 19.7369i | −0.403889 | − | 0.699556i | ||||
\(797\) | 21.8139 | 0.772687 | 0.386344 | − | 0.922355i | \(-0.373738\pi\) | ||||
0.386344 | + | 0.922355i | \(0.373738\pi\) | |||||||
\(798\) | 2.99753 | + | 10.1944i | 0.106111 | + | 0.360879i | ||||
\(799\) | −28.2456 | + | 28.2456i | −0.999259 | + | 0.999259i | ||||
\(800\) | −6.04061 | − | 1.61858i | −0.213568 | − | 0.0572253i | ||||
\(801\) | 9.04179 | − | 3.50091i | 0.319476 | − | 0.123699i | ||||
\(802\) | 7.50852 | − | 13.0051i | 0.265135 | − | 0.459227i | ||||
\(803\) | −13.3686 | − | 23.1551i | −0.471768 | − | 0.817127i | ||||
\(804\) | 0.304416 | + | 5.65191i | 0.0107359 | + | 0.199328i | ||||
\(805\) | 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 | ||||
\(808\) | 0.449109 | + | 1.67610i | 0.0157996 | + | 0.0589649i | ||||
\(809\) | 8.41983 | + | 4.86119i | 0.296026 | + | 0.170910i | 0.640656 | − | 0.767828i | \(-0.278662\pi\) |
−0.344631 | + | 0.938738i | \(0.611996\pi\) | |||||||
\(810\) | 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 | \(0.0819020\pi\) | |||||||
\(812\) | −0.0100093 | + | 0.337694i | −0.000351258 | + | 0.0118507i | ||||
\(813\) | −0.405243 | − | 7.52390i | −0.0142125 | − | 0.263875i | ||||
\(814\) | 12.8574 | − | 47.9843i | 0.450650 | − | 1.68185i | ||||
\(815\) | 26.9522 | + | 15.5609i | 0.944095 | + | 0.545073i | ||||
\(816\) | 6.69878 | − | 2.18730i | 0.234504 | − | 0.0765709i | ||||
\(817\) | −1.53692 | + | 5.73588i | −0.0537702 | + | 0.200673i | ||||
\(818\) | 28.2076 | 0.986256 | ||||||||
\(819\) | 25.7315 | + | 12.5256i | 0.899131 | + | 0.437679i | ||||
\(820\) | 33.7928 | 1.18010 | ||||||||
\(821\) | −12.6256 | + | 47.1195i | −0.440638 | + | 1.64448i | 0.286566 | + | 0.958060i | \(0.407486\pi\) |
−0.727204 | + | 0.686421i | \(0.759181\pi\) | |||||||
\(822\) | 4.03807 | − | 1.31852i | 0.140844 | − | 0.0459887i | ||||
\(823\) | −18.1900 | − | 10.5020i | −0.634062 | − | 0.366076i | 0.148262 | − | 0.988948i | \(-0.452632\pi\) |
−0.782323 | + | 0.622872i | \(0.785966\pi\) | |||||||
\(824\) | 3.31071 | − | 12.3557i | 0.115334 | − | 0.430432i | ||||
\(825\) | −3.68646 | − | 68.4442i | −0.128346 | − | 2.38292i | ||||
\(826\) | 14.9182 | − | 8.03336i | 0.519069 | − | 0.279516i | ||||
\(827\) | 22.1257 | − | 22.1257i | 0.769387 | − | 0.769387i | −0.208612 | − | 0.977999i | \(-0.566895\pi\) |
0.977999 | + | 0.208612i | \(0.0668945\pi\) | |||||||
\(828\) | 9.70771 | + | 13.2804i | 0.337366 | + | 0.461526i | ||||
\(829\) | 7.06627 | + | 4.07971i | 0.245422 | + | 0.141694i | 0.617666 | − | 0.786440i | \(-0.288078\pi\) |
−0.372244 | + | 0.928135i | \(0.621412\pi\) | |||||||
\(830\) | −0.485263 | − | 1.81103i | −0.0168437 | − | 0.0628617i | ||||
\(831\) | 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 | ||||
\(834\) | −1.61045 | − | 29.9002i | −0.0557653 | − | 1.03536i | ||||
\(835\) | 18.6358 | + | 32.2782i | 0.644919 | + | 1.11703i | ||||
\(836\) | −7.33664 | + | 12.7074i | −0.253743 | + | 0.439496i | ||||
\(837\) | −8.32141 | − | 3.15286i | −0.287630 | − | 0.108979i | ||||
\(838\) | −22.1625 | − | 5.93842i | −0.765591 | − | 0.205139i | ||||
\(839\) | −35.7272 | + | 35.7272i | −1.23344 | + | 1.23344i | −0.270806 | + | 0.962634i | \(0.587290\pi\) |
−0.962634 | + | 0.270806i | \(0.912710\pi\) | |||||||
\(840\) | −14.9410 | − | 3.61867i | −0.515513 | − | 0.124856i | ||||
\(841\) | 28.9837 | 0.999438 | ||||||||
\(842\) | 12.6568 | + | 21.9222i | 0.436181 | + | 0.755488i | ||||
\(843\) | 8.28469 | − | 16.3180i | 0.285340 | − | 0.562022i | ||||
\(844\) | −11.8812 | − | 6.85961i | −0.408968 | − | 0.236118i | ||||
\(845\) | 11.9096 | − | 41.9528i | 0.409704 | − | 1.44322i | ||||
\(846\) | 3.16373 | + | 29.2843i | 0.108771 | + | 1.00681i | ||||
\(847\) | −40.3762 | + | 65.3803i | −1.38734 | + | 2.24649i | ||||
\(848\) | − | 3.10469i | − | 0.106616i | ||||||
\(849\) | −19.7860 | − | 4.17570i | −0.679055 | − | 0.143310i | ||||
\(850\) | 6.58517 | + | 24.5762i | 0.225869 | + | 0.842956i | ||||
\(851\) | −41.5797 | + | 11.1412i | −1.42533 | + | 0.381917i | ||||
\(852\) | 11.6474 | + | 17.8786i | 0.399033 | + | 0.612512i | ||||
\(853\) | 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 | ||||
\(856\) | 4.51431 | − | 16.8476i | 0.154296 | − | 0.575840i | ||||
\(857\) | 9.66161 | − | 16.7344i | 0.330034 | − | 0.571636i | −0.652484 | − | 0.757803i | \(-0.726273\pi\) |
0.982518 | + | 0.186166i | \(0.0596063\pi\) | |||||||
\(858\) | 11.9879 | + | 37.6563i | 0.409260 | + | 1.28557i | ||||
\(859\) | 23.7519 | + | 41.1395i | 0.810404 | + | 1.40366i | 0.912582 | + | 0.408895i | \(0.134086\pi\) |
−0.102178 | + | 0.994766i | \(0.532581\pi\) | |||||||
\(860\) | −6.07477 | − | 6.07477i | −0.207148 | − | 0.207148i | ||||
\(861\) | 46.1487 | − | 1.11597i | 1.57274 | − | 0.0380321i | ||||
\(862\) | − | 10.7771i | − | 0.367069i | ||||||
\(863\) | −2.07152 | + | 7.73101i | −0.0705153 | + | 0.263167i | −0.992179 | − | 0.124823i | \(-0.960164\pi\) |
0.921664 | + | 0.387990i | \(0.126830\pi\) | |||||||
\(864\) | 1.84103 | − | 4.85907i | 0.0626331 | − | 0.165309i | ||||
\(865\) | 48.2981 | − | 12.9414i | 1.64219 | − | 0.440022i | ||||
\(866\) | 29.1383 | + | 7.80759i | 0.990160 | + | 0.265313i | ||||
\(867\) | 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 | ||||
\(871\) | 11.4032 | − | 2.96519i | 0.386384 | − | 0.100472i | ||||
\(872\) | 4.57345 | + | 2.64048i | 0.154877 | + | 0.0894180i | ||||
\(873\) | 1.58403 | − | 10.1923i | 0.0536114 | − | 0.344956i | ||||
\(874\) | 12.7148 | 0.430084 | ||||||||
\(875\) | 3.19713 | − | 10.6581i | 0.108083 | − | 0.360309i | ||||
\(876\) | 7.30769 | − | 0.393598i | 0.246904 | − | 0.0132984i | ||||
\(877\) | −22.3924 | − | 6.00003i | −0.756138 | − | 0.202607i | −0.139899 | − | 0.990166i | \(-0.544678\pi\) |
−0.616239 | + | 0.787559i | \(0.711345\pi\) | |||||||
\(878\) | 7.54848 | + | 28.1713i | 0.254749 | + | 0.950735i | ||||
\(879\) | −12.8516 | + | 25.3133i | −0.433473 | + | 0.853795i | ||||
\(880\) | −10.6142 | − | 18.3843i | −0.357803 | − | 0.619733i | ||||
\(881\) | −17.8123 | −0.600111 | −0.300056 | − | 0.953922i | \(-0.597005\pi\) | ||||
−0.300056 | + | 0.953922i | \(0.597005\pi\) | |||||||
\(882\) | −20.5234 | − | 4.44838i | −0.691060 | − | 0.149785i | ||||
\(883\) | − | 13.4521i | − | 0.452701i | −0.974046 | − | 0.226350i | \(-0.927321\pi\) | ||
0.974046 | − | 0.226350i | \(-0.0726794\pi\) | |||||||
\(884\) | −7.24034 | − | 12.7578i | −0.243519 | − | 0.429092i | ||||
\(885\) | −35.3726 | + | 11.5499i | −1.18904 | + | 0.388247i | ||||
\(886\) | −3.66196 | − | 13.6666i | −0.123026 | − | 0.459139i | ||||
\(887\) | −13.0811 | + | 7.55237i | −0.439220 | + | 0.253584i | −0.703267 | − | 0.710926i | \(-0.748276\pi\) |
0.264047 | + | 0.964510i | \(0.414943\pi\) | |||||||
\(888\) | 10.1178 | + | 9.08362i | 0.339532 | + | 0.304826i | ||||
\(889\) | −25.7292 | − | 47.7799i | −0.862931 | − | 1.60249i | ||||
\(890\) | 7.66654 | + | 7.66654i | 0.256983 | + | 0.256983i | ||||
\(891\) | 56.8905 | + | 2.65097i | 1.90590 | + | 0.0888109i | ||||
\(892\) | 5.56759 | − | 1.49183i | 0.186417 | − | 0.0499502i | ||||
\(893\) | 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 | ||||
\(897\) | 23.0647 | − | 25.3112i | 0.770107 | − | 0.845118i | ||||
\(898\) | −11.8720 | − | 20.5629i | −0.396174 | − | 0.686193i | ||||
\(899\) | −0.211228 | + | 0.0565985i | −0.00704486 | + | 0.00188766i | ||||
\(900\) | 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 | ||||
\(903\) | −8.49653 | − | 8.09531i | −0.282747 | − | 0.269395i | ||||
\(904\) | −0.428946 | − | 0.428946i | −0.0142665 | − | 0.0142665i | ||||
\(905\) | −1.33858 | − | 0.358672i | −0.0444959 | − | 0.0119226i | ||||
\(906\) | −5.85603 | − | 17.9345i | −0.194554 | − | 0.595835i | ||||
\(907\) | 25.5184 | + | 14.7331i | 0.847326 | + | 0.489204i | 0.859748 | − | 0.510719i | \(-0.170621\pi\) |
−0.0124219 | + | 0.999923i | \(0.503954\pi\) | |||||||
\(908\) | 16.4711 | + | 4.41341i | 0.546611 | + | 0.146464i | ||||
\(909\) | −0.559141 | − | 5.17556i | −0.0185456 | − | 0.171662i | ||||
\(910\) | −1.18487 | + | 31.9794i | −0.0392781 | + | 1.06011i | ||||
\(911\) | − | 43.7241i | − | 1.44864i | −0.689462 | − | 0.724322i | \(-0.742153\pi\) | ||
0.689462 | − | 0.724322i | \(-0.257847\pi\) | |||||||
\(912\) | −2.19228 | − | 3.36513i | −0.0725937 | − | 0.111431i | ||||
\(913\) | 1.76836 | − | 3.06289i | 0.0585243 | − | 0.101367i | ||||
\(914\) | 19.2768 | − | 33.3885i | 0.637621 | − | 1.10439i | ||||
\(915\) | −17.4809 | + | 11.3882i | −0.577899 | + | 0.376484i | ||||
\(916\) | 7.02647 | − | 7.02647i | 0.232161 | − | 0.232161i | ||||
\(917\) | 5.35926 | − | 8.67814i | 0.176978 | − | 0.286578i | ||||
\(918\) | −20.8657 | + | 3.39784i | −0.688670 | + | 0.112145i | ||||
\(919\) | 5.43311 | + | 9.41042i | 0.179222 | + | 0.310421i | 0.941614 | − | 0.336694i | \(-0.109309\pi\) |
−0.762392 | + | 0.647115i | \(0.775975\pi\) | |||||||
\(920\) | −9.19745 | + | 15.9305i | −0.303231 | + | 0.525211i | ||||
\(921\) | −40.7447 | − | 20.6861i | −1.34258 | − | 0.681631i | ||||
\(922\) | −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 | ||||
\(928\) | −0.0330492 | − | 0.123341i | −0.00108489 | − | 0.00404888i | ||||
\(929\) | −5.44946 | + | 20.3377i | −0.178791 | + | 0.667257i | 0.817084 | + | 0.576519i | \(0.195589\pi\) |
−0.995875 | + | 0.0907383i | \(0.971077\pi\) | |||||||
\(930\) | −0.535175 | − | 9.93625i | −0.0175491 | − | 0.325823i | ||||
\(931\) | −12.1370 | + | 10.7774i | −0.397774 | + | 0.353216i | ||||
\(932\) | 18.3858i | 0.602248i | ||||||||
\(933\) | 4.57866 | − | 21.6954i | 0.149899 | − | 0.710277i | ||||
\(934\) | −1.86373 | + | 0.499386i | −0.0609832 | + | 0.0163404i | ||||
\(935\) | −43.1836 | + | 74.7963i | −1.41226 | + | 2.44610i | ||||
\(936\) | −10.6758 | − | 1.74021i | −0.348948 | − | 0.0568804i | ||||
\(937\) | 40.3453 | 1.31802 | 0.659012 | − | 0.752133i | \(-0.270975\pi\) | ||||
0.659012 | + | 0.752133i | \(0.270975\pi\) | |||||||
\(938\) | −7.61240 | + | 4.09924i | −0.248554 | + | 0.133845i | ||||
\(939\) | −21.0332 | − | 18.8833i | −0.686394 | − | 0.616233i | ||||
\(940\) | −28.5240 | + | 16.4684i | −0.930352 | + | 0.537139i | ||||
\(941\) | 15.0595 | − | 4.03518i | 0.490926 | − | 0.131543i | −0.00485964 | − | 0.999988i | \(-0.501547\pi\) |
0.495786 | + | 0.868445i | \(0.334880\pi\) | |||||||
\(942\) | 11.5179 | + | 5.84764i | 0.375272 | + | 0.190526i | ||||
\(943\) | 14.2963 | − | 53.3544i | 0.465551 | − | 1.73746i | ||||
\(944\) | −4.52837 | + | 4.52837i | −0.147386 | + | 0.147386i | ||||
\(945\) | 42.6241 | + | 17.6108i | 1.38656 | + | 0.572878i | ||||
\(946\) | − | 16.2056i | − | 0.526889i | ||||||
\(947\) | −41.2392 | − | 11.0500i | −1.34009 | − | 0.359077i | −0.483625 | − | 0.875275i | \(-0.660680\pi\) |
−0.856469 | + | 0.516198i | \(0.827347\pi\) | |||||||
\(948\) | −3.24544 | − | 9.93940i | −0.105407 | − | 0.322817i | ||||
\(949\) | −3.83387 | − | 14.7439i | −0.124453 | − | 0.478608i | ||||
\(950\) | 12.5582 | − | 7.25047i | 0.407441 | − | 0.235236i | ||||
\(951\) | 0.0338578 | + | 0.628617i | 0.00109791 | + | 0.0203843i | ||||
\(952\) | 7.38261 | + | 7.83362i | 0.239272 | + | 0.253889i | ||||
\(953\) | 24.5509 | 0.795283 | 0.397641 | − | 0.917541i | \(-0.369829\pi\) | ||||
0.397641 | + | 0.917541i | \(0.369829\pi\) | |||||||
\(954\) | −1.43038 | + | 9.20359i | −0.0463102 | + | 0.297977i | ||||
\(955\) | −21.1121 | − | 78.7913i | −0.683170 | − | 2.54963i | ||||
\(956\) | −1.12682 | − | 4.20537i | −0.0364441 | − | 0.136011i | ||||
\(957\) | 1.17267 | − | 0.763958i | 0.0379070 | − | 0.0246953i | ||||
\(958\) | −4.71803 | −0.152433 | ||||||||
\(959\) | 4.45029 | + | 4.72216i | 0.143707 | + | 0.152487i | ||||
\(960\) | 5.80202 | − | 0.312501i | 0.187259 | − | 0.0100859i | ||||
\(961\) | 24.3069 | − | 14.0336i | 0.784093 | − | 0.452696i | ||||
\(962\) | 14.3334 | − | 24.4072i | 0.462129 | − | 0.786919i | ||||
\(963\) | −21.1442 | + | 47.8635i | −0.681363 | + | 1.54238i | ||||
\(964\) | −17.2303 | − | 4.61685i | −0.554951 | − | 0.148699i | ||||
\(965\) | − | 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 | \(0.229820\pi\) | |||||||
\(968\) | 7.51710 | − | 28.0542i | 0.241609 | − | 0.901697i | ||||
\(969\) | −7.39713 | + | 14.5698i | −0.237630 | + | 0.468051i | ||||
\(970\) | 11.1410 | − | 2.98522i | 0.357715 | − | 0.0958496i | ||||
\(971\) | 17.9367 | − | 10.3557i | 0.575615 | − | 0.332332i | −0.183774 | − | 0.982969i | \(-0.558831\pi\) |
0.759389 | + | 0.650637i | \(0.225498\pi\) | |||||||
\(972\) | −7.69622 | + | 13.5561i | −0.246856 | + | 0.434812i | ||||
\(973\) | 40.2718 | − | 21.6862i | 1.29105 | − | 0.695226i | ||||
\(974\) | 17.0911 | 0.547633 | ||||||||
\(975\) | 8.34714 | − | 38.1519i | 0.267322 | − | 1.22184i | ||||
\(976\) | −1.79532 | + | 3.10959i | −0.0574669 | + | 0.0995355i | ||||
\(977\) | 16.8003 | − | 4.50162i | 0.537489 | − | 0.144020i | 0.0201445 | − | 0.999797i | \(-0.493587\pi\) |
0.517344 | + | 0.855777i | \(0.326921\pi\) | |||||||
\(978\) | −15.7222 | − | 3.31806i | −0.502742 | − | 0.106100i | ||||
\(979\) | 20.4519i | 0.653647i | ||||||||
\(980\) | −4.72363 | − | 23.0026i | −0.150891 | − | 0.734790i | ||||
\(981\) | −12.3411 | − | 9.93453i | −0.394020 | − | 0.317185i | ||||
\(982\) | −6.42832 | + | 23.9908i | −0.205136 | + | 0.765578i | ||||
\(983\) | −3.61420 | − | 13.4884i | −0.115275 | − | 0.430212i | 0.884032 | − | 0.467426i | \(-0.154819\pi\) |
−0.999307 | + | 0.0372135i | \(0.988152\pi\) | |||||||
\(984\) | −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 | ||||
\(990\) | 22.9948 | + | 59.3886i | 0.730824 | + | 1.88749i | ||||
\(991\) | 1.69315 | − | 2.93263i | 0.0537848 | − | 0.0931580i | −0.837879 | − | 0.545855i | \(-0.816205\pi\) |
0.891664 | + | 0.452697i | \(0.149538\pi\) | |||||||
\(992\) | −0.856275 | − | 1.48311i | −0.0271868 | − | 0.0470889i | ||||
\(993\) | 23.6662 | − | 1.27468i | 0.751023 | − | 0.0404507i | ||||
\(994\) | −17.1263 | + | 27.7322i | −0.543212 | + | 0.879612i | ||||
\(995\) | −54.0606 | + | 54.0606i | −1.71384 | + | 1.71384i | ||||
\(996\) | 0.528409 | + | 0.811103i | 0.0167433 | + | 0.0257008i | ||||
\(997\) | −18.3914 | + | 31.8548i | −0.582461 | + | 1.00885i | 0.412725 | + | 0.910855i | \(0.364577\pi\) |
−0.995187 | + | 0.0979970i | \(0.968756\pi\) | |||||||
\(998\) | −13.8253 | + | 23.9462i | −0.437633 | + | 0.758003i | ||||
\(999\) | −25.8085 | − | 31.5890i | −0.816544 | − | 0.999433i |
(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.473.35 | yes | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.473.8 | yes | 144 | |
7.2 | even | 3 | inner | 546.2.bv.a.317.8 | ✓ | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.515.35 | yes | 144 | |
21.2 | odd | 6 | inner | 546.2.bv.a.317.35 | yes | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.515.8 | yes | 144 | |
91.86 | odd | 12 | inner | 546.2.bv.a.359.8 | yes | 144 | |
273.86 | even | 12 | inner | 546.2.bv.a.359.35 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.8 | ✓ | 144 | 7.2 | even | 3 | inner | |
546.2.bv.a.317.35 | yes | 144 | 21.2 | odd | 6 | inner | |
546.2.bv.a.359.8 | yes | 144 | 91.86 | odd | 12 | inner | |
546.2.bv.a.359.35 | yes | 144 | 273.86 | even | 12 | inner | |
546.2.bv.a.473.8 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.473.35 | yes | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.515.8 | yes | 144 | 39.8 | even | 4 | inner | |
546.2.bv.a.515.35 | yes | 144 | 13.8 | odd | 4 | inner |