Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(11,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bj (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 11.39 | ||
Character | \(\chi\) | \(=\) | 432.11 |
Dual form | 432.2.bj.a.275.39 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.146980 | + | 1.40655i | 0.103931 | + | 0.994585i | ||||
\(3\) | 0.0621762 | − | 1.73093i | 0.0358974 | − | 0.999355i | ||||
\(4\) | −1.95679 | + | 0.413472i | −0.978397 | + | 0.206736i | ||||
\(5\) | 3.40408 | − | 1.58735i | 1.52235 | − | 0.709884i | 0.531779 | − | 0.846883i | \(-0.321524\pi\) |
0.990571 | + | 0.136999i | \(0.0437458\pi\) | |||||||
\(6\) | 2.44379 | − | 0.166959i | 0.997674 | − | 0.0681607i | ||||
\(7\) | −0.786764 | + | 4.46196i | −0.297369 | + | 1.68646i | 0.360046 | + | 0.932935i | \(0.382761\pi\) |
−0.657415 | + | 0.753529i | \(0.728350\pi\) | |||||||
\(8\) | −0.869180 | − | 2.69157i | −0.307302 | − | 0.951612i | ||||
\(9\) | −2.99227 | − | 0.215246i | −0.997423 | − | 0.0717486i | ||||
\(10\) | 2.73302 | + | 4.55472i | 0.864258 | + | 1.44033i | ||||
\(11\) | 3.07254 | + | 1.43275i | 0.926407 | + | 0.431991i | 0.826456 | − | 0.563002i | \(-0.190354\pi\) |
0.0999513 | + | 0.994992i | \(0.468131\pi\) | |||||||
\(12\) | 0.594026 | + | 3.41279i | 0.171481 | + | 0.985188i | ||||
\(13\) | 0.0327201 | − | 0.373992i | 0.00907492 | − | 0.103727i | −0.990306 | − | 0.138901i | \(-0.955643\pi\) |
0.999381 | + | 0.0351741i | \(0.0111986\pi\) | |||||||
\(14\) | −6.39164 | − | 0.450807i | −1.70824 | − | 0.120483i | ||||
\(15\) | −2.53594 | − | 5.99093i | −0.654778 | − | 1.54685i | ||||
\(16\) | 3.65808 | − | 1.61816i | 0.914521 | − | 0.404539i | ||||
\(17\) | 2.48663 | − | 1.43566i | 0.603097 | − | 0.348198i | −0.167162 | − | 0.985929i | \(-0.553460\pi\) |
0.770259 | + | 0.637731i | \(0.220127\pi\) | |||||||
\(18\) | −0.137049 | − | 4.24043i | −0.0323028 | − | 0.999478i | ||||
\(19\) | 6.54437 | − | 1.75356i | 1.50138 | − | 0.402294i | 0.587820 | − | 0.808992i | \(-0.299986\pi\) |
0.913563 | + | 0.406698i | \(0.133320\pi\) | |||||||
\(20\) | −6.00476 | + | 4.51360i | −1.34270 | + | 1.00927i | ||||
\(21\) | 7.67445 | + | 1.63927i | 1.67470 | + | 0.357717i | ||||
\(22\) | −1.56364 | + | 4.53229i | −0.333369 | + | 0.966287i | ||||
\(23\) | 2.58417 | − | 0.455659i | 0.538837 | − | 0.0950115i | 0.102395 | − | 0.994744i | \(-0.467349\pi\) |
0.436442 | + | 0.899732i | \(0.356238\pi\) | |||||||
\(24\) | −4.71297 | + | 1.33714i | −0.962030 | + | 0.272943i | ||||
\(25\) | 5.85414 | − | 6.97670i | 1.17083 | − | 1.39534i | ||||
\(26\) | 0.530850 | − | 0.00894687i | 0.104108 | − | 0.00175463i | ||||
\(27\) | −0.558624 | + | 5.16604i | −0.107507 | + | 0.994204i | ||||
\(28\) | −0.305359 | − | 9.05645i | −0.0577074 | − | 1.71151i | ||||
\(29\) | −0.395982 | − | 4.52609i | −0.0735320 | − | 0.840474i | −0.939985 | − | 0.341216i | \(-0.889161\pi\) |
0.866453 | − | 0.499259i | \(-0.166394\pi\) | |||||||
\(30\) | 8.05384 | − | 4.44749i | 1.47042 | − | 0.811997i | ||||
\(31\) | −9.47680 | + | 1.67102i | −1.70208 | + | 0.300123i | −0.938422 | − | 0.345492i | \(-0.887712\pi\) |
−0.763662 | + | 0.645616i | \(0.776601\pi\) | |||||||
\(32\) | 2.81369 | + | 4.90746i | 0.497395 | + | 0.867524i | ||||
\(33\) | 2.67104 | − | 5.22929i | 0.464968 | − | 0.910303i | ||||
\(34\) | 2.38482 | + | 3.28657i | 0.408993 | + | 0.563642i | ||||
\(35\) | 4.40448 | + | 16.4377i | 0.744493 | + | 2.77849i | ||||
\(36\) | 5.94425 | − | 0.816026i | 0.990708 | − | 0.136004i | ||||
\(37\) | −0.275855 | + | 1.02951i | −0.0453503 | + | 0.169250i | −0.984887 | − | 0.173199i | \(-0.944590\pi\) |
0.939537 | + | 0.342449i | \(0.111256\pi\) | |||||||
\(38\) | 3.42837 | + | 8.94728i | 0.556155 | + | 1.45144i | ||||
\(39\) | −0.645322 | − | 0.0798898i | −0.103334 | − | 0.0127926i | ||||
\(40\) | −7.23121 | − | 7.78261i | −1.14335 | − | 1.23054i | ||||
\(41\) | −3.38639 | + | 2.84152i | −0.528865 | + | 0.443771i | −0.867709 | − | 0.497072i | \(-0.834409\pi\) |
0.338844 | + | 0.940843i | \(0.389964\pi\) | |||||||
\(42\) | −1.17773 | + | 11.0355i | −0.181727 | + | 1.70281i | ||||
\(43\) | 2.10910 | − | 4.52298i | 0.321635 | − | 0.689748i | −0.677309 | − | 0.735699i | \(-0.736854\pi\) |
0.998944 | + | 0.0459505i | \(0.0146316\pi\) | |||||||
\(44\) | −6.60474 | − | 1.53319i | −0.995702 | − | 0.231137i | ||||
\(45\) | −10.5276 | + | 4.01706i | −1.56936 | + | 0.598828i | ||||
\(46\) | 1.02073 | + | 3.56781i | 0.150499 | + | 0.526044i | ||||
\(47\) | −1.03821 | + | 5.88800i | −0.151439 | + | 0.858853i | 0.810531 | + | 0.585696i | \(0.199179\pi\) |
−0.961970 | + | 0.273157i | \(0.911932\pi\) | |||||||
\(48\) | −2.57348 | − | 6.43251i | −0.371450 | − | 0.928453i | ||||
\(49\) | −12.7123 | − | 4.62689i | −1.81604 | − | 0.660984i | ||||
\(50\) | 10.6736 | + | 7.20874i | 1.50947 | + | 1.01947i | ||||
\(51\) | −2.33042 | − | 4.39346i | −0.326324 | − | 0.615207i | ||||
\(52\) | 0.0906087 | + | 0.745355i | 0.0125652 | + | 0.103362i | ||||
\(53\) | −4.41531 | + | 4.41531i | −0.606489 | + | 0.606489i | −0.942027 | − | 0.335538i | \(-0.891082\pi\) |
0.335538 | + | 0.942027i | \(0.391082\pi\) | |||||||
\(54\) | −7.34842 | − | 0.0264305i | −0.999994 | − | 0.00359673i | ||||
\(55\) | 12.7335 | 1.71698 | ||||||||
\(56\) | 12.6935 | − | 1.76062i | 1.69624 | − | 0.235273i | ||||
\(57\) | −2.62839 | − | 11.4369i | −0.348139 | − | 1.51486i | ||||
\(58\) | 6.30800 | − | 1.22222i | 0.828280 | − | 0.160485i | ||||
\(59\) | 1.21763 | + | 2.61122i | 0.158522 | + | 0.339952i | 0.969487 | − | 0.245143i | \(-0.0788349\pi\) |
−0.810965 | + | 0.585095i | \(0.801057\pi\) | |||||||
\(60\) | 7.43940 | + | 10.6745i | 0.960422 | + | 1.37807i | ||||
\(61\) | −5.01881 | − | 7.16760i | −0.642592 | − | 0.917717i | 0.357275 | − | 0.933999i | \(-0.383706\pi\) |
−0.999867 | + | 0.0162823i | \(0.994817\pi\) | |||||||
\(62\) | −3.74328 | − | 13.0840i | −0.475397 | − | 1.66167i | ||||
\(63\) | 3.31463 | − | 13.1820i | 0.417604 | − | 1.66078i | ||||
\(64\) | −6.48905 | + | 4.67891i | −0.811131 | + | 0.584864i | ||||
\(65\) | −0.482274 | − | 1.32504i | −0.0598188 | − | 0.164351i | ||||
\(66\) | 7.74787 | + | 2.98836i | 0.953697 | + | 0.367842i | ||||
\(67\) | −1.09532 | − | 0.0958278i | −0.133814 | − | 0.0117072i | 0.0200518 | − | 0.999799i | \(-0.493617\pi\) |
−0.153866 | + | 0.988092i | \(0.549172\pi\) | |||||||
\(68\) | −4.27222 | + | 3.83744i | −0.518083 | + | 0.465357i | ||||
\(69\) | −0.628042 | − | 4.50136i | −0.0756074 | − | 0.541900i | ||||
\(70\) | −22.4732 | + | 8.61117i | −2.68606 | + | 1.02923i | ||||
\(71\) | −2.28401 | + | 1.31867i | −0.271062 | + | 0.156498i | −0.629370 | − | 0.777106i | \(-0.716687\pi\) |
0.358308 | + | 0.933603i | \(0.383354\pi\) | |||||||
\(72\) | 2.02147 | + | 8.24097i | 0.238233 | + | 0.971208i | ||||
\(73\) | −0.225294 | − | 0.130074i | −0.0263687 | − | 0.0152240i | 0.486758 | − | 0.873537i | \(-0.338179\pi\) |
−0.513126 | + | 0.858313i | \(0.671513\pi\) | |||||||
\(74\) | −1.48860 | − | 0.236689i | −0.173046 | − | 0.0275145i | ||||
\(75\) | −11.7122 | − | 10.5669i | −1.35241 | − | 1.22016i | ||||
\(76\) | −12.0809 | + | 6.13727i | −1.38578 | + | 0.703993i | ||||
\(77\) | −8.81025 | + | 12.5823i | −1.00402 | + | 1.43389i | ||||
\(78\) | 0.0175198 | − | 0.919423i | 0.00198373 | − | 0.104104i | ||||
\(79\) | −7.98520 | + | 9.51639i | −0.898405 | + | 1.07068i | 0.0987363 | + | 0.995114i | \(0.468520\pi\) |
−0.997141 | + | 0.0755634i | \(0.975924\pi\) | |||||||
\(80\) | 9.88383 | − | 11.3150i | 1.10505 | − | 1.26505i | ||||
\(81\) | 8.90734 | + | 1.28815i | 0.989704 | + | 0.143127i | ||||
\(82\) | −4.49449 | − | 4.34550i | −0.496333 | − | 0.479880i | ||||
\(83\) | −9.12138 | + | 0.798018i | −1.00120 | + | 0.0875938i | −0.575953 | − | 0.817483i | \(-0.695369\pi\) |
−0.425249 | + | 0.905076i | \(0.639813\pi\) | |||||||
\(84\) | −15.6951 | − | 0.0345391i | −1.71248 | − | 0.00376853i | ||||
\(85\) | 6.18580 | − | 8.83424i | 0.670944 | − | 0.958208i | ||||
\(86\) | 6.67182 | + | 2.30178i | 0.719441 | + | 0.248207i | ||||
\(87\) | −7.85899 | + | 0.404003i | −0.842572 | + | 0.0433137i | ||||
\(88\) | 1.18575 | − | 9.51527i | 0.126401 | − | 1.01433i | ||||
\(89\) | 1.56222 | − | 2.70584i | 0.165595 | − | 0.286818i | −0.771272 | − | 0.636506i | \(-0.780379\pi\) |
0.936866 | + | 0.349688i | \(0.113712\pi\) | |||||||
\(90\) | −7.19756 | − | 14.2172i | −0.758689 | − | 1.49862i | ||||
\(91\) | 1.64300 | + | 0.440240i | 0.172233 | + | 0.0461497i | ||||
\(92\) | −4.86829 | + | 1.96011i | −0.507554 | + | 0.204356i | ||||
\(93\) | 2.30319 | + | 16.5076i | 0.238829 | + | 1.71176i | ||||
\(94\) | −8.43439 | − | 0.594884i | −0.869941 | − | 0.0613576i | ||||
\(95\) | 19.4941 | − | 16.3575i | 2.00005 | − | 1.67824i | ||||
\(96\) | 8.66943 | − | 4.56519i | 0.884820 | − | 0.465933i | ||||
\(97\) | 0.783030 | − | 0.285000i | 0.0795047 | − | 0.0289373i | −0.301962 | − | 0.953320i | \(-0.597641\pi\) |
0.381466 | + | 0.924383i | \(0.375419\pi\) | |||||||
\(98\) | 4.63952 | − | 18.5606i | 0.468662 | − | 1.87490i | ||||
\(99\) | −8.88548 | − | 4.94853i | −0.893025 | − | 0.497346i | ||||
\(100\) | −8.57069 | + | 16.0725i | −0.857069 | + | 1.60725i | ||||
\(101\) | 0.576425 | + | 0.823220i | 0.0573564 | + | 0.0819134i | 0.846806 | − | 0.531902i | \(-0.178523\pi\) |
−0.789449 | + | 0.613816i | \(0.789634\pi\) | |||||||
\(102\) | 5.83712 | − | 3.92361i | 0.577961 | − | 0.388496i | ||||
\(103\) | 3.97219 | + | 1.44576i | 0.391392 | + | 0.142455i | 0.530217 | − | 0.847862i | \(-0.322110\pi\) |
−0.138825 | + | 0.990317i | \(0.544333\pi\) | |||||||
\(104\) | −1.03506 | + | 0.236999i | −0.101496 | + | 0.0232396i | ||||
\(105\) | 28.7265 | − | 6.60183i | 2.80342 | − | 0.644273i | ||||
\(106\) | −6.85933 | − | 5.56141i | −0.666237 | − | 0.540172i | ||||
\(107\) | −5.50294 | − | 5.50294i | −0.531989 | − | 0.531989i | 0.389175 | − | 0.921164i | \(-0.372760\pi\) |
−0.921164 | + | 0.389175i | \(0.872760\pi\) | |||||||
\(108\) | −1.04290 | − | 10.3398i | −0.100353 | − | 0.994952i | ||||
\(109\) | 9.38021 | − | 9.38021i | 0.898462 | − | 0.898462i | −0.0968385 | − | 0.995300i | \(-0.530873\pi\) |
0.995300 | + | 0.0968385i | \(0.0308730\pi\) | |||||||
\(110\) | 1.87157 | + | 17.9103i | 0.178447 | + | 1.70768i | ||||
\(111\) | 1.76486 | + | 0.541498i | 0.167513 | + | 0.0513967i | ||||
\(112\) | 4.34211 | + | 17.5953i | 0.410291 | + | 1.66260i | ||||
\(113\) | −0.737378 | + | 2.02593i | −0.0693667 | + | 0.190583i | −0.969532 | − | 0.244965i | \(-0.921223\pi\) |
0.900165 | + | 0.435549i | \(0.143446\pi\) | |||||||
\(114\) | 15.7003 | − | 5.37798i | 1.47047 | − | 0.503694i | ||||
\(115\) | 8.07344 | − | 5.65308i | 0.752852 | − | 0.527153i | ||||
\(116\) | 2.64626 | + | 8.69290i | 0.245700 | + | 0.807116i | ||||
\(117\) | −0.178408 | + | 1.11204i | −0.0164938 | + | 0.102808i | ||||
\(118\) | −3.49386 | + | 2.09647i | −0.321636 | + | 0.192995i | ||||
\(119\) | 4.44946 | + | 12.2248i | 0.407881 | + | 1.12064i | ||||
\(120\) | −13.9208 | + | 12.0329i | −1.27079 | + | 1.09844i | ||||
\(121\) | 0.317092 | + | 0.377895i | 0.0288265 | + | 0.0343541i | ||||
\(122\) | 9.34396 | − | 8.11272i | 0.845962 | − | 0.734491i | ||||
\(123\) | 4.70793 | + | 6.03830i | 0.424500 | + | 0.544455i | ||||
\(124\) | 17.8532 | − | 7.18822i | 1.60327 | − | 0.645521i | ||||
\(125\) | 3.99292 | − | 14.9018i | 0.357138 | − | 1.33286i | ||||
\(126\) | 19.0285 | + | 2.72471i | 1.69519 | + | 0.242736i | ||||
\(127\) | 7.07816 | + | 4.08658i | 0.628085 | + | 0.362625i | 0.780010 | − | 0.625767i | \(-0.215214\pi\) |
−0.151925 | + | 0.988392i | \(0.548547\pi\) | |||||||
\(128\) | −7.53491 | − | 8.43950i | −0.665998 | − | 0.745953i | ||||
\(129\) | −7.69785 | − | 3.93194i | −0.677758 | − | 0.346188i | ||||
\(130\) | 1.79285 | − | 0.873100i | 0.157244 | − | 0.0765759i | ||||
\(131\) | −15.7496 | − | 11.0280i | −1.37605 | − | 0.963522i | −0.999308 | − | 0.0372045i | \(-0.988155\pi\) |
−0.376744 | − | 0.926317i | \(-0.622956\pi\) | |||||||
\(132\) | −3.06451 | + | 11.3370i | −0.266731 | + | 0.986763i | ||||
\(133\) | 2.67544 | + | 30.5804i | 0.231990 | + | 2.65166i | ||||
\(134\) | −0.0262028 | − | 1.55471i | −0.00226358 | − | 0.134306i | ||||
\(135\) | 6.29870 | + | 18.4723i | 0.542106 | + | 1.58985i | ||||
\(136\) | −6.02550 | − | 5.44509i | −0.516682 | − | 0.466912i | ||||
\(137\) | 1.85512 | + | 1.55663i | 0.158493 | + | 0.132992i | 0.718586 | − | 0.695439i | \(-0.244790\pi\) |
−0.560092 | + | 0.828430i | \(0.689234\pi\) | |||||||
\(138\) | 6.23911 | − | 1.54499i | 0.531108 | − | 0.131518i | ||||
\(139\) | −14.7157 | − | 10.3041i | −1.24817 | − | 0.873979i | −0.252562 | − | 0.967581i | \(-0.581273\pi\) |
−0.995610 | + | 0.0936015i | \(0.970162\pi\) | |||||||
\(140\) | −15.4152 | − | 30.3442i | −1.30282 | − | 2.56455i | ||||
\(141\) | 10.1272 | + | 2.16317i | 0.852863 | + | 0.182172i | ||||
\(142\) | −2.19049 | − | 3.01876i | −0.183822 | − | 0.253329i | ||||
\(143\) | 0.636372 | − | 1.10223i | 0.0532161 | − | 0.0921730i | ||||
\(144\) | −11.2943 | + | 4.05457i | −0.941189 | + | 0.337881i | ||||
\(145\) | −8.53244 | − | 14.7786i | −0.708580 | − | 1.22730i | ||||
\(146\) | 0.149842 | − | 0.336007i | 0.0124010 | − | 0.0278082i | ||||
\(147\) | −8.79924 | + | 21.7164i | −0.725749 | + | 1.79114i | ||||
\(148\) | 0.114121 | − | 2.12859i | 0.00938065 | − | 0.174969i | ||||
\(149\) | −0.873604 | + | 9.98534i | −0.0715684 | + | 0.818031i | 0.872572 | + | 0.488486i | \(0.162451\pi\) |
−0.944140 | + | 0.329545i | \(0.893105\pi\) | |||||||
\(150\) | 13.1415 | − | 18.0270i | 1.07300 | − | 1.47190i | ||||
\(151\) | −11.0324 | + | 4.01546i | −0.897803 | + | 0.326773i | −0.749372 | − | 0.662149i | \(-0.769644\pi\) |
−0.148431 | + | 0.988923i | \(0.547422\pi\) | |||||||
\(152\) | −10.4081 | − | 16.0905i | −0.844205 | − | 1.30511i | ||||
\(153\) | −7.74969 | + | 3.76063i | −0.626525 | + | 0.304029i | ||||
\(154\) | −18.9927 | − | 10.5427i | −1.53047 | − | 0.849559i | ||||
\(155\) | −29.6073 | + | 20.7313i | −2.37812 | + | 1.66517i | ||||
\(156\) | 1.29579 | − | 0.110494i | 0.103747 | − | 0.00884664i | ||||
\(157\) | 10.8158 | − | 5.04351i | 0.863198 | − | 0.402516i | 0.0599789 | − | 0.998200i | \(-0.480897\pi\) |
0.803219 | + | 0.595684i | \(0.203119\pi\) | |||||||
\(158\) | −14.5590 | − | 9.83290i | −1.15825 | − | 0.782263i | ||||
\(159\) | 7.36808 | + | 7.91713i | 0.584327 | + | 0.627869i | ||||
\(160\) | 17.3679 | + | 12.2391i | 1.37305 | + | 0.967583i | ||||
\(161\) | 11.8890i | 0.936983i | ||||||||
\(162\) | −0.502646 | + | 12.7180i | −0.0394916 | + | 0.999220i | ||||
\(163\) | −14.1257 | − | 14.1257i | −1.10641 | − | 1.10641i | −0.993619 | − | 0.112788i | \(-0.964022\pi\) |
−0.112788 | − | 0.993619i | \(-0.535978\pi\) | |||||||
\(164\) | 5.45158 | − | 6.96044i | 0.425697 | − | 0.543519i | ||||
\(165\) | 0.791718 | − | 22.0408i | 0.0616352 | − | 1.71587i | ||||
\(166\) | −2.46312 | − | 12.7124i | −0.191175 | − | 0.986676i | ||||
\(167\) | 1.73289 | − | 4.76108i | 0.134095 | − | 0.368423i | −0.854412 | − | 0.519596i | \(-0.826083\pi\) |
0.988507 | + | 0.151172i | \(0.0483049\pi\) | |||||||
\(168\) | −2.25829 | − | 22.0811i | −0.174231 | − | 1.70359i | ||||
\(169\) | 12.6637 | + | 2.23295i | 0.974131 | + | 0.171766i | ||||
\(170\) | 13.3350 | + | 7.40221i | 1.02275 | + | 0.567724i | ||||
\(171\) | −19.9600 | + | 3.83847i | −1.52638 | + | 0.293535i | ||||
\(172\) | −2.25695 | + | 9.72260i | −0.172091 | + | 0.741341i | ||||
\(173\) | −10.1636 | − | 4.73937i | −0.772725 | − | 0.360328i | −0.00407057 | − | 0.999992i | \(-0.501296\pi\) |
−0.768655 | + | 0.639664i | \(0.779073\pi\) | |||||||
\(174\) | −1.72337 | − | 10.9947i | −0.130648 | − | 0.833508i | ||||
\(175\) | 26.5239 | + | 31.6100i | 2.00502 | + | 2.38949i | ||||
\(176\) | 13.5580 | + | 0.269263i | 1.02198 | + | 0.0202965i | ||||
\(177\) | 4.59556 | − | 1.94529i | 0.345424 | − | 0.146217i | ||||
\(178\) | 4.03552 | + | 1.79964i | 0.302475 | + | 0.134889i | ||||
\(179\) | 10.8156 | + | 2.89804i | 0.808398 | + | 0.216610i | 0.639268 | − | 0.768984i | \(-0.279238\pi\) |
0.169130 | + | 0.985594i | \(0.445904\pi\) | |||||||
\(180\) | 18.9394 | − | 12.2134i | 1.41166 | − | 0.910334i | ||||
\(181\) | −9.77541 | + | 2.61931i | −0.726601 | + | 0.194692i | −0.603115 | − | 0.797654i | \(-0.706074\pi\) |
−0.123486 | + | 0.992346i | \(0.539407\pi\) | |||||||
\(182\) | −0.377733 | + | 2.37567i | −0.0279995 | + | 0.176097i | ||||
\(183\) | −12.7187 | + | 8.24157i | −0.940193 | + | 0.609234i | ||||
\(184\) | −3.47255 | − | 6.55942i | −0.256000 | − | 0.483567i | ||||
\(185\) | 0.695151 | + | 3.94240i | 0.0511085 | + | 0.289851i | ||||
\(186\) | −22.8804 | + | 5.66585i | −1.67767 | + | 0.415441i | ||||
\(187\) | 9.69722 | − | 0.848397i | 0.709131 | − | 0.0620409i | ||||
\(188\) | −0.402951 | − | 11.9509i | −0.0293882 | − | 0.871607i | ||||
\(189\) | −22.6112 | − | 6.55702i | −1.64472 | − | 0.476953i | ||||
\(190\) | 25.8729 | + | 25.0152i | 1.87702 | + | 1.81480i | ||||
\(191\) | −7.50351 | − | 6.29620i | −0.542935 | − | 0.455577i | 0.329605 | − | 0.944119i | \(-0.393084\pi\) |
−0.872540 | + | 0.488542i | \(0.837529\pi\) | |||||||
\(192\) | 7.69543 | + | 11.5230i | 0.555369 | + | 0.831604i | ||||
\(193\) | −1.86274 | − | 10.5641i | −0.134083 | − | 0.760423i | −0.975494 | − | 0.220027i | \(-0.929386\pi\) |
0.841411 | − | 0.540396i | \(-0.181726\pi\) | |||||||
\(194\) | 0.515958 | + | 1.05949i | 0.0370436 | + | 0.0760667i | ||||
\(195\) | −2.32354 | + | 0.752400i | −0.166392 | + | 0.0538805i | ||||
\(196\) | 26.7884 | + | 3.79770i | 1.91346 | + | 0.271265i | ||||
\(197\) | 6.22100 | + | 23.2171i | 0.443228 | + | 1.65415i | 0.720574 | + | 0.693378i | \(0.243879\pi\) |
−0.277346 | + | 0.960770i | \(0.589455\pi\) | |||||||
\(198\) | 5.65439 | − | 13.2253i | 0.401840 | − | 0.939878i | ||||
\(199\) | −2.02223 | − | 3.50260i | −0.143352 | − | 0.248293i | 0.785405 | − | 0.618982i | \(-0.212455\pi\) |
−0.928757 | + | 0.370689i | \(0.879121\pi\) | |||||||
\(200\) | −23.8665 | − | 9.69281i | −1.68762 | − | 0.685385i | ||||
\(201\) | −0.233974 | + | 1.88996i | −0.0165033 | + | 0.133308i | ||||
\(202\) | −1.07318 | + | 0.931770i | −0.0755088 | + | 0.0655591i | ||||
\(203\) | 20.5068 | + | 1.79411i | 1.43930 | + | 0.125922i | ||||
\(204\) | 6.37672 | + | 7.63353i | 0.446460 | + | 0.534454i | ||||
\(205\) | −7.01706 | + | 15.0481i | −0.490093 | + | 1.05101i | ||||
\(206\) | −1.44971 | + | 5.79960i | −0.101006 | + | 0.404078i | ||||
\(207\) | −7.83061 | + | 0.807222i | −0.544265 | + | 0.0561058i | ||||
\(208\) | −0.485486 | − | 1.42104i | −0.0336624 | − | 0.0985315i | ||||
\(209\) | 22.6203 | + | 3.98857i | 1.56468 | + | 0.275895i | ||||
\(210\) | 13.5081 | + | 39.4351i | 0.932145 | + | 2.72128i | ||||
\(211\) | 9.30837 | + | 19.9619i | 0.640814 | + | 1.37423i | 0.911395 | + | 0.411533i | \(0.135007\pi\) |
−0.270580 | + | 0.962697i | \(0.587216\pi\) | |||||||
\(212\) | 6.81424 | − | 10.4654i | 0.468004 | − | 0.718770i | ||||
\(213\) | 2.14052 | + | 4.03545i | 0.146666 | + | 0.276505i | ||||
\(214\) | 6.93136 | − | 8.54901i | 0.473818 | − | 0.584398i | ||||
\(215\) | − | 18.7445i | − | 1.27836i | ||||||
\(216\) | 14.3903 | − | 2.98664i | 0.979134 | − | 0.203215i | ||||
\(217\) | − | 43.5998i | − | 2.95975i | ||||||
\(218\) | 14.5725 | + | 11.8151i | 0.986974 | + | 0.800218i | ||||
\(219\) | −0.239157 | + | 0.381882i | −0.0161607 | + | 0.0258052i | ||||
\(220\) | −24.9168 | + | 5.26492i | −1.67989 | + | 0.354961i | ||||
\(221\) | −0.455562 | − | 0.976956i | −0.0306444 | − | 0.0657172i | ||||
\(222\) | −0.502248 | + | 2.56196i | −0.0337087 | + | 0.171947i | ||||
\(223\) | −20.6400 | − | 3.63938i | −1.38215 | − | 0.243711i | −0.567364 | − | 0.823467i | \(-0.692037\pi\) |
−0.814790 | + | 0.579756i | \(0.803148\pi\) | |||||||
\(224\) | −24.1106 | + | 8.69358i | −1.61096 | + | 0.580864i | ||||
\(225\) | −19.0189 | + | 19.6161i | −1.26793 | + | 1.30774i | ||||
\(226\) | −2.95796 | − | 0.739391i | −0.196761 | − | 0.0491836i | ||||
\(227\) | 8.10446 | − | 17.3801i | 0.537912 | − | 1.15356i | −0.430130 | − | 0.902767i | \(-0.641532\pi\) |
0.968042 | − | 0.250789i | \(-0.0806901\pi\) | |||||||
\(228\) | 9.87206 | + | 21.2929i | 0.653793 | + | 1.41016i | ||||
\(229\) | 2.43686 | + | 0.213198i | 0.161032 | + | 0.0140885i | 0.167387 | − | 0.985891i | \(-0.446467\pi\) |
−0.00635440 | + | 0.999980i | \(0.502023\pi\) | |||||||
\(230\) | 9.13800 | + | 10.5248i | 0.602542 | + | 0.693987i | ||||
\(231\) | 21.2314 | + | 16.0323i | 1.39693 | + | 1.05485i | ||||
\(232\) | −11.8381 | + | 4.99980i | −0.777209 | + | 0.328253i | ||||
\(233\) | 5.69954 | + | 9.87189i | 0.373389 | + | 0.646729i | 0.990085 | − | 0.140473i | \(-0.0448623\pi\) |
−0.616695 | + | 0.787202i | \(0.711529\pi\) | |||||||
\(234\) | −1.59037 | − | 0.0874918i | −0.103966 | − | 0.00571952i | ||||
\(235\) | 5.81215 | + | 21.6912i | 0.379143 | + | 1.41498i | ||||
\(236\) | −3.46232 | − | 4.60617i | −0.225378 | − | 0.299836i | ||||
\(237\) | 15.9758 | + | 14.4135i | 1.03774 | + | 0.936260i | ||||
\(238\) | −16.5408 | + | 8.05520i | −1.07218 | + | 0.522141i | ||||
\(239\) | −1.07867 | − | 6.11744i | −0.0697734 | − | 0.395704i | −0.999615 | − | 0.0277445i | \(-0.991168\pi\) |
0.929842 | − | 0.367960i | \(-0.119944\pi\) | |||||||
\(240\) | −18.9710 | − | 17.8118i | −1.22457 | − | 1.14975i | ||||
\(241\) | −12.5705 | − | 10.5479i | −0.809734 | − | 0.679448i | 0.140810 | − | 0.990037i | \(-0.455029\pi\) |
−0.950544 | + | 0.310589i | \(0.899474\pi\) | |||||||
\(242\) | −0.484924 | + | 0.501550i | −0.0311721 | + | 0.0322408i | ||||
\(243\) | 2.78352 | − | 15.3379i | 0.178563 | − | 0.983928i | ||||
\(244\) | 12.7844 | + | 11.9504i | 0.818435 | + | 0.765044i | ||||
\(245\) | −50.6181 | + | 4.42851i | −3.23387 | + | 0.282927i | ||||
\(246\) | −7.80122 | + | 7.50947i | −0.497388 | + | 0.478787i | ||||
\(247\) | −0.441686 | − | 2.50492i | −0.0281038 | − | 0.159384i | ||||
\(248\) | 12.7347 | + | 24.0550i | 0.808654 | + | 1.52750i | ||||
\(249\) | 0.814183 | + | 15.8381i | 0.0515968 | + | 1.00370i | ||||
\(250\) | 21.5471 | + | 3.42599i | 1.36276 | + | 0.216679i | ||||
\(251\) | 17.4605 | − | 4.67853i | 1.10210 | − | 0.295306i | 0.338480 | − | 0.940974i | \(-0.390087\pi\) |
0.763619 | + | 0.645667i | \(0.223421\pi\) | |||||||
\(252\) | −1.03565 | + | 27.1650i | −0.0652396 | + | 1.71124i | ||||
\(253\) | 8.59283 | + | 2.30244i | 0.540227 | + | 0.144753i | ||||
\(254\) | −4.70765 | + | 10.5565i | −0.295384 | + | 0.662372i | ||||
\(255\) | −14.9069 | − | 11.2565i | −0.933505 | − | 0.704909i | ||||
\(256\) | 10.7631 | − | 11.8387i | 0.672696 | − | 0.739919i | ||||
\(257\) | 9.02664 | + | 10.7575i | 0.563066 | + | 0.671036i | 0.970192 | − | 0.242336i | \(-0.0779135\pi\) |
−0.407126 | + | 0.913372i | \(0.633469\pi\) | |||||||
\(258\) | 4.39906 | − | 11.4054i | 0.273873 | − | 0.710067i | ||||
\(259\) | −4.37659 | − | 2.04084i | −0.271948 | − | 0.126811i | ||||
\(260\) | 1.49158 | + | 2.39342i | 0.0925037 | + | 0.148434i | ||||
\(261\) | 0.210661 | + | 13.6285i | 0.0130396 | + | 0.843584i | ||||
\(262\) | 13.1966 | − | 23.7736i | 0.815290 | − | 1.46874i | ||||
\(263\) | 30.3415 | + | 5.35003i | 1.87094 | + | 0.329897i | 0.989744 | − | 0.142855i | \(-0.0456283\pi\) |
0.881195 | + | 0.472752i | \(0.156739\pi\) | |||||||
\(264\) | −16.3966 | − | 2.64408i | −1.00914 | − | 0.162732i | ||||
\(265\) | −8.02142 | + | 22.0387i | −0.492752 | + | 1.35383i | ||||
\(266\) | −42.6198 | + | 8.25786i | −2.61319 | + | 0.506322i | ||||
\(267\) | −4.58649 | − | 2.87233i | −0.280689 | − | 0.175784i | ||||
\(268\) | 2.18293 | − | 0.265367i | 0.133344 | − | 0.0162099i | ||||
\(269\) | 17.1768 | + | 17.1768i | 1.04729 | + | 1.04729i | 0.998825 | + | 0.0484660i | \(0.0154332\pi\) |
0.0484660 | + | 0.998825i | \(0.484567\pi\) | |||||||
\(270\) | −25.0566 | + | 11.5745i | −1.52489 | + | 0.704404i | ||||
\(271\) | − | 4.57756i | − | 0.278067i | −0.990288 | − | 0.139033i | \(-0.955600\pi\) | ||
0.990288 | − | 0.139033i | \(-0.0443996\pi\) | |||||||
\(272\) | 6.77318 | − | 9.27551i | 0.410685 | − | 0.562410i | ||||
\(273\) | 0.864182 | − | 2.81655i | 0.0523027 | − | 0.170465i | ||||
\(274\) | −1.91682 | + | 2.83812i | −0.115799 | + | 0.171457i | ||||
\(275\) | 27.9830 | − | 13.0487i | 1.68744 | − | 0.786865i | ||||
\(276\) | 3.09013 | + | 8.54856i | 0.186004 | + | 0.514563i | ||||
\(277\) | 23.4228 | − | 16.4008i | 1.40734 | − | 0.985429i | 0.410032 | − | 0.912071i | \(-0.365517\pi\) |
0.997306 | − | 0.0733575i | \(-0.0233714\pi\) | |||||||
\(278\) | 12.3303 | − | 22.2130i | 0.739523 | − | 1.33225i | ||||
\(279\) | 28.7168 | − | 2.96029i | 1.71923 | − | 0.177228i | ||||
\(280\) | 40.4150 | − | 26.1423i | 2.41526 | − | 1.56230i | ||||
\(281\) | −0.321536 | + | 0.117030i | −0.0191812 | + | 0.00698140i | −0.351593 | − | 0.936153i | \(-0.614360\pi\) |
0.332412 | + | 0.943134i | \(0.392138\pi\) | |||||||
\(282\) | −1.55412 | + | 14.5624i | −0.0925467 | + | 0.867178i | ||||
\(283\) | −1.72433 | + | 19.7092i | −0.102501 | + | 1.17159i | 0.754509 | + | 0.656290i | \(0.227875\pi\) |
−0.857009 | + | 0.515301i | \(0.827680\pi\) | |||||||
\(284\) | 3.92410 | − | 3.52474i | 0.232852 | − | 0.209155i | ||||
\(285\) | −27.1016 | − | 34.7600i | −1.60536 | − | 2.05900i | ||||
\(286\) | 1.64388 | + | 0.733087i | 0.0972046 | + | 0.0433483i | ||||
\(287\) | −10.0145 | − | 17.3456i | −0.591135 | − | 1.02388i | ||||
\(288\) | −7.36301 | − | 15.2901i | −0.433870 | − | 0.900976i | ||||
\(289\) | −4.37778 | + | 7.58253i | −0.257516 | + | 0.446031i | ||||
\(290\) | 19.5328 | − | 14.1735i | 1.14701 | − | 0.832297i | ||||
\(291\) | −0.444630 | − | 1.37309i | −0.0260647 | − | 0.0804922i | ||||
\(292\) | 0.494636 | + | 0.161375i | 0.0289464 | + | 0.00944374i | ||||
\(293\) | 2.86567 | + | 2.00657i | 0.167414 | + | 0.117225i | 0.654281 | − | 0.756252i | \(-0.272971\pi\) |
−0.486867 | + | 0.873476i | \(0.661860\pi\) | |||||||
\(294\) | −31.8387 | − | 9.18473i | −1.85687 | − | 0.535664i | ||||
\(295\) | 8.28984 | + | 6.95600i | 0.482653 | + | 0.404994i | ||||
\(296\) | 3.01075 | − | 0.152344i | 0.174996 | − | 0.00885480i | ||||
\(297\) | −9.11804 | + | 15.0725i | −0.529083 | + | 0.874596i | ||||
\(298\) | −14.1733 | + | 0.238875i | −0.821039 | + | 0.0138377i | ||||
\(299\) | −0.0858588 | − | 0.981370i | −0.00496534 | − | 0.0567541i | ||||
\(300\) | 27.2875 | + | 15.8346i | 1.57545 | + | 0.914212i | ||||
\(301\) | 18.5220 | + | 12.9693i | 1.06759 | + | 0.747536i | ||||
\(302\) | −7.26951 | − | 14.9275i | −0.418313 | − | 0.858979i | ||||
\(303\) | 1.46078 | − | 0.946569i | 0.0839196 | − | 0.0543790i | ||||
\(304\) | 21.1023 | − | 17.0045i | 1.21030 | − | 0.975274i | ||||
\(305\) | −28.4619 | − | 16.4325i | −1.62972 | − | 0.940921i | ||||
\(306\) | −6.42859 | − | 10.3476i | −0.367498 | − | 0.591534i | ||||
\(307\) | −0.435684 | + | 1.62599i | −0.0248658 | + | 0.0928003i | −0.977244 | − | 0.212120i | \(-0.931963\pi\) |
0.952378 | + | 0.304920i | \(0.0986299\pi\) | |||||||
\(308\) | 12.0374 | − | 28.2638i | 0.685895 | − | 1.61048i | ||||
\(309\) | 2.74949 | − | 6.78571i | 0.156413 | − | 0.386026i | ||||
\(310\) | −33.5113 | − | 38.5972i | −1.90332 | − | 2.19217i | ||||
\(311\) | 8.18907 | + | 9.75935i | 0.464359 | + | 0.553402i | 0.946505 | − | 0.322689i | \(-0.104587\pi\) |
−0.482146 | + | 0.876091i | \(0.660142\pi\) | |||||||
\(312\) | 0.345873 | + | 1.80637i | 0.0195812 | + | 0.102265i | ||||
\(313\) | 0.833465 | + | 2.28993i | 0.0471102 | + | 0.129434i | 0.961017 | − | 0.276491i | \(-0.0891716\pi\) |
−0.913906 | + | 0.405925i | \(0.866949\pi\) | |||||||
\(314\) | 8.68369 | + | 14.4718i | 0.490049 | + | 0.816689i | ||||
\(315\) | −9.64123 | − | 50.1342i | −0.543222 | − | 2.82474i | ||||
\(316\) | 11.6906 | − | 21.9233i | 0.657649 | − | 1.23328i | ||||
\(317\) | −12.2235 | + | 8.55900i | −0.686541 | + | 0.480721i | −0.864055 | − | 0.503397i | \(-0.832083\pi\) |
0.177514 | + | 0.984118i | \(0.443194\pi\) | |||||||
\(318\) | −10.0529 | + | 11.5273i | −0.563740 | + | 0.646417i | ||||
\(319\) | 5.26809 | − | 14.4740i | 0.294957 | − | 0.810386i | ||||
\(320\) | −14.6622 | + | 26.2278i | −0.819641 | + | 1.46618i | ||||
\(321\) | −9.86738 | + | 9.18307i | −0.550743 | + | 0.512549i | ||||
\(322\) | −16.7225 | + | 1.74744i | −0.931908 | + | 0.0973813i | ||||
\(323\) | 13.7559 | − | 13.7559i | 0.765401 | − | 0.765401i | ||||
\(324\) | −17.9624 | + | 1.16229i | −0.997913 | + | 0.0645719i | ||||
\(325\) | −2.41768 | − | 2.41768i | −0.134109 | − | 0.134109i | ||||
\(326\) | 17.7923 | − | 21.9447i | 0.985425 | − | 1.21540i | ||||
\(327\) | −15.6533 | − | 16.8198i | −0.865630 | − | 0.930135i | ||||
\(328\) | 10.5915 | + | 6.64490i | 0.584819 | + | 0.366903i | ||||
\(329\) | −25.4552 | − | 9.26494i | −1.40339 | − | 0.510793i | ||||
\(330\) | 31.1179 | − | 2.12596i | 1.71299 | − | 0.117031i | ||||
\(331\) | −5.62987 | − | 8.04029i | −0.309446 | − | 0.441934i | 0.634063 | − | 0.773281i | \(-0.281386\pi\) |
−0.943509 | + | 0.331347i | \(0.892497\pi\) | |||||||
\(332\) | 17.5187 | − | 5.33299i | 0.961464 | − | 0.292686i | ||||
\(333\) | 1.04703 | − | 3.02118i | 0.0573769 | − | 0.165560i | ||||
\(334\) | 6.95141 | + | 1.73762i | 0.380364 | + | 0.0950784i | ||||
\(335\) | −3.88066 | + | 1.41244i | −0.212023 | + | 0.0771701i | ||||
\(336\) | 30.7264 | − | 6.42189i | 1.67626 | − | 0.350343i | ||||
\(337\) | 18.5945 | − | 15.6026i | 1.01291 | − | 0.849929i | 0.0241862 | − | 0.999707i | \(-0.492301\pi\) |
0.988720 | + | 0.149779i | \(0.0478561\pi\) | |||||||
\(338\) | −1.27946 | + | 18.1404i | −0.0695933 | + | 0.986707i | ||||
\(339\) | 3.46090 | + | 1.40232i | 0.187971 | + | 0.0761635i | ||||
\(340\) | −8.45163 | + | 19.8444i | −0.458354 | + | 1.07622i | ||||
\(341\) | −31.5121 | − | 8.44363i | −1.70647 | − | 0.457248i | ||||
\(342\) | −8.33274 | − | 27.5106i | −0.450583 | − | 1.48760i | ||||
\(343\) | 14.7888 | − | 25.6149i | 0.798519 | − | 1.38308i | ||||
\(344\) | −14.0071 | − | 1.74550i | −0.755212 | − | 0.0941109i | ||||
\(345\) | −9.28314 | − | 14.3261i | −0.499787 | − | 0.771290i | ||||
\(346\) | 5.17234 | − | 14.9923i | 0.278066 | − | 0.805990i | ||||
\(347\) | −6.63602 | + | 9.47722i | −0.356240 | + | 0.508764i | −0.956773 | − | 0.290836i | \(-0.906066\pi\) |
0.600532 | + | 0.799600i | \(0.294955\pi\) | |||||||
\(348\) | 15.2114 | − | 4.04002i | 0.815415 | − | 0.216568i | ||||
\(349\) | −11.7754 | + | 1.03022i | −0.630324 | + | 0.0551462i | −0.397841 | − | 0.917454i | \(-0.630240\pi\) |
−0.232483 | + | 0.972601i | \(0.574685\pi\) | |||||||
\(350\) | −40.5627 | + | 41.9534i | −2.16817 | + | 2.24250i | ||||
\(351\) | 1.91378 | + | 0.377955i | 0.102150 | + | 0.0201737i | ||||
\(352\) | 1.61403 | + | 19.1097i | 0.0860281 | + | 1.01855i | ||||
\(353\) | 6.58106 | − | 7.84300i | 0.350274 | − | 0.417441i | −0.561925 | − | 0.827188i | \(-0.689939\pi\) |
0.912199 | + | 0.409748i | \(0.134383\pi\) | |||||||
\(354\) | 3.41161 | + | 6.17800i | 0.181325 | + | 0.328357i | ||||
\(355\) | −5.68175 | + | 8.11438i | −0.301556 | + | 0.430666i | ||||
\(356\) | −1.93815 | + | 5.94070i | −0.102722 | + | 0.314856i | ||||
\(357\) | 21.4369 | − | 6.94163i | 1.13456 | − | 0.367390i | ||||
\(358\) | −2.48657 | + | 15.6387i | −0.131419 | + | 0.826532i | ||||
\(359\) | −26.4539 | − | 15.2732i | −1.39619 | − | 0.806088i | −0.402195 | − | 0.915554i | \(-0.631753\pi\) |
−0.993991 | + | 0.109466i | \(0.965086\pi\) | |||||||
\(360\) | 19.9625 | + | 24.8441i | 1.05212 | + | 1.30940i | ||||
\(361\) | 23.2994 | − | 13.4519i | 1.22628 | − | 0.707995i | ||||
\(362\) | −5.12100 | − | 13.3647i | −0.269154 | − | 0.702431i | ||||
\(363\) | 0.673827 | − | 0.525369i | 0.0353668 | − | 0.0275747i | ||||
\(364\) | −3.39703 | − | 0.182126i | −0.178053 | − | 0.00954599i | ||||
\(365\) | −0.973393 | − | 0.0851608i | −0.0509497 | − | 0.00445752i | ||||
\(366\) | −13.4616 | − | 16.6782i | −0.703650 | − | 0.871783i | ||||
\(367\) | 4.85781 | + | 13.3467i | 0.253575 | + | 0.696693i | 0.999529 | + | 0.0306947i | \(0.00977196\pi\) |
−0.745953 | + | 0.665998i | \(0.768006\pi\) | |||||||
\(368\) | 8.71579 | − | 5.84843i | 0.454342 | − | 0.304871i | ||||
\(369\) | 10.7446 | − | 7.77368i | 0.559342 | − | 0.404682i | ||||
\(370\) | −5.44303 | + | 1.55722i | −0.282970 | + | 0.0809562i | ||||
\(371\) | −16.2271 | − | 23.1747i | −0.842470 | − | 1.20317i | ||||
\(372\) | −11.3323 | − | 31.3497i | −0.587552 | − | 1.62541i | ||||
\(373\) | 6.63264 | + | 14.2237i | 0.343425 | + | 0.736477i | 0.999839 | − | 0.0179232i | \(-0.00570544\pi\) |
−0.656414 | + | 0.754401i | \(0.727928\pi\) | |||||||
\(374\) | 2.61862 | + | 13.5150i | 0.135405 | + | 0.698843i | ||||
\(375\) | −25.5457 | − | 7.83802i | −1.31918 | − | 0.404754i | ||||
\(376\) | 16.7503 | − | 2.32331i | 0.863832 | − | 0.119816i | ||||
\(377\) | −1.70568 | −0.0878470 | ||||||||
\(378\) | 5.89941 | − | 32.7676i | 0.303433 | − | 1.68538i | ||||
\(379\) | −9.86219 | + | 9.86219i | −0.506587 | + | 0.506587i | −0.913477 | − | 0.406890i | \(-0.866613\pi\) |
0.406890 | + | 0.913477i | \(0.366613\pi\) | |||||||
\(380\) | −31.3825 | + | 40.0684i | −1.60989 | + | 2.05547i | ||||
\(381\) | 7.51370 | − | 11.9978i | 0.384938 | − | 0.614663i | ||||
\(382\) | 7.75308 | − | 11.4795i | 0.396682 | − | 0.587343i | ||||
\(383\) | 12.5052 | + | 4.55151i | 0.638984 | + | 0.232571i | 0.641137 | − | 0.767426i | \(-0.278463\pi\) |
−0.00215284 | + | 0.999998i | \(0.500685\pi\) | |||||||
\(384\) | −15.0767 | + | 12.5177i | −0.769380 | + | 0.638791i | ||||
\(385\) | −10.0182 | + | 56.8162i | −0.510577 | + | 2.89562i | ||||
\(386\) | 14.5852 | − | 4.17277i | 0.742370 | − | 0.212388i | ||||
\(387\) | −7.28455 | + | 13.0800i | −0.370295 | + | 0.664894i | ||||
\(388\) | −1.41439 | + | 0.881446i | −0.0718047 | + | 0.0447487i | ||||
\(389\) | −1.56614 | + | 3.35860i | −0.0794065 | + | 0.170288i | −0.942003 | − | 0.335605i | \(-0.891059\pi\) |
0.862596 | + | 0.505893i | \(0.168837\pi\) | |||||||
\(390\) | −1.39981 | − | 3.15760i | −0.0708819 | − | 0.159891i | ||||
\(391\) | 5.77171 | − | 4.84304i | 0.291888 | − | 0.244923i | ||||
\(392\) | −1.40432 | + | 38.2375i | −0.0709287 | + | 1.93129i | ||||
\(393\) | −20.0680 | + | 26.5759i | −1.01230 | + | 1.34058i | ||||
\(394\) | −31.7417 | + | 12.1626i | −1.59913 | + | 0.612744i | ||||
\(395\) | −12.0764 | + | 45.0698i | −0.607631 | + | 2.26771i | ||||
\(396\) | 19.4331 | + | 6.00935i | 0.976552 | + | 0.301981i | ||||
\(397\) | 0.490833 | + | 1.83182i | 0.0246342 | + | 0.0919362i | 0.977149 | − | 0.212558i | \(-0.0681793\pi\) |
−0.952514 | + | 0.304494i | \(0.901513\pi\) | |||||||
\(398\) | 4.62937 | − | 3.35919i | 0.232050 | − | 0.168381i | ||||
\(399\) | 53.0990 | − | 2.72964i | 2.65828 | − | 0.136653i | ||||
\(400\) | 10.1256 | − | 34.9943i | 0.506278 | − | 1.74971i | ||||
\(401\) | −1.48542 | + | 0.261920i | −0.0741784 | + | 0.0130797i | −0.210614 | − | 0.977569i | \(-0.567546\pi\) |
0.136436 | + | 0.990649i | \(0.456435\pi\) | |||||||
\(402\) | −2.69273 | − | 0.0513105i | −0.134301 | − | 0.00255913i | ||||
\(403\) | 0.314865 | + | 3.59893i | 0.0156846 | + | 0.179275i | ||||
\(404\) | −1.46832 | − | 1.37254i | −0.0730518 | − | 0.0682862i | ||||
\(405\) | 32.3660 | − | 9.75410i | 1.60828 | − | 0.484685i | ||||
\(406\) | 0.490576 | + | 29.1076i | 0.0243469 | + | 1.44459i | ||||
\(407\) | −2.32260 | + | 2.76797i | −0.115127 | + | 0.137203i | ||||
\(408\) | −9.79973 | + | 10.0912i | −0.485159 | + | 0.499588i | ||||
\(409\) | −26.5057 | + | 4.67367i | −1.31062 | + | 0.231098i | −0.784934 | − | 0.619580i | \(-0.787303\pi\) |
−0.525688 | + | 0.850678i | \(0.676192\pi\) | |||||||
\(410\) | −22.1974 | − | 7.65811i | −1.09625 | − | 0.378207i | ||||
\(411\) | 2.80977 | − | 3.11430i | 0.138596 | − | 0.153617i | ||||
\(412\) | −8.37054 | − | 1.18666i | −0.412387 | − | 0.0584628i | ||||
\(413\) | −12.6092 | + | 3.37862i | −0.620457 | + | 0.166251i | ||||
\(414\) | −2.28635 | − | 10.8955i | −0.112368 | − | 0.535487i | ||||
\(415\) | −29.7832 | + | 17.1953i | −1.46200 | + | 0.844086i | ||||
\(416\) | 1.92742 | − | 0.891727i | 0.0944994 | − | 0.0437205i | ||||
\(417\) | −18.7506 | + | 24.8313i | −0.918222 | + | 1.21599i | ||||
\(418\) | −2.28541 | + | 32.4029i | −0.111783 | + | 1.58488i | ||||
\(419\) | 2.71049 | − | 30.9810i | 0.132416 | − | 1.51352i | −0.581647 | − | 0.813441i | \(-0.697591\pi\) |
0.714063 | − | 0.700081i | \(-0.246853\pi\) | |||||||
\(420\) | −53.4822 | + | 24.7960i | −2.60966 | + | 1.20992i | ||||
\(421\) | −25.8889 | − | 12.0722i | −1.26175 | − | 0.588362i | −0.327454 | − | 0.944867i | \(-0.606191\pi\) |
−0.934294 | + | 0.356505i | \(0.883968\pi\) | |||||||
\(422\) | −26.7093 | + | 16.0267i | −1.30019 | + | 0.780169i | ||||
\(423\) | 4.37398 | − | 17.3950i | 0.212670 | − | 0.845774i | ||||
\(424\) | 15.7218 | + | 8.04639i | 0.763517 | + | 0.390767i | ||||
\(425\) | 4.54095 | − | 25.7530i | 0.220269 | − | 1.24920i | ||||
\(426\) | −5.36147 | + | 3.60390i | −0.259764 | + | 0.174609i | ||||
\(427\) | 35.9302 | − | 16.7545i | 1.73878 | − | 0.810808i | ||||
\(428\) | 13.0434 | + | 8.49280i | 0.630478 | + | 0.410515i | ||||
\(429\) | −1.86832 | − | 1.17005i | −0.0902033 | − | 0.0564906i | ||||
\(430\) | 26.3651 | − | 2.75507i | 1.27144 | − | 0.132861i | ||||
\(431\) | −25.4884 | −1.22773 | −0.613866 | − | 0.789410i | \(-0.710386\pi\) | ||||
−0.613866 | + | 0.789410i | \(0.710386\pi\) | |||||||
\(432\) | 6.31596 | + | 19.8017i | 0.303877 | + | 0.952711i | ||||
\(433\) | −5.41154 | −0.260062 | −0.130031 | − | 0.991510i | \(-0.541508\pi\) | ||||
−0.130031 | + | 0.991510i | \(0.541508\pi\) | |||||||
\(434\) | 61.3256 | − | 6.40831i | 2.94372 | − | 0.307609i | ||||
\(435\) | −26.1113 | + | 13.8502i | −1.25194 | + | 0.664067i | ||||
\(436\) | −14.4767 | + | 22.2336i | −0.693308 | + | 1.06480i | ||||
\(437\) | 16.1128 | − | 7.51351i | 0.770778 | − | 0.359420i | ||||
\(438\) | −0.572290 | − | 0.280259i | −0.0273451 | − | 0.0133913i | ||||
\(439\) | 1.88851 | − | 10.7102i | 0.0901335 | − | 0.511172i | −0.905997 | − | 0.423284i | \(-0.860877\pi\) |
0.996130 | − | 0.0878880i | \(-0.0280118\pi\) | |||||||
\(440\) | −11.0677 | − | 34.2729i | −0.527631 | − | 1.63390i | ||||
\(441\) | 37.0426 | + | 16.5812i | 1.76393 | + | 0.789579i | ||||
\(442\) | 1.30718 | − | 0.784366i | 0.0621764 | − | 0.0373085i | ||||
\(443\) | 0.930036 | + | 0.433683i | 0.0441873 | + | 0.0206049i | 0.444586 | − | 0.895736i | \(-0.353351\pi\) |
−0.400399 | + | 0.916341i | \(0.631128\pi\) | |||||||
\(444\) | −3.67735 | − | 0.329883i | −0.174519 | − | 0.0156555i | ||||
\(445\) | 1.02280 | − | 11.6907i | 0.0484854 | − | 0.554191i | ||||
\(446\) | 2.08532 | − | 29.5662i | 0.0987430 | − | 1.40000i | ||||
\(447\) | 17.2296 | + | 2.13300i | 0.814934 | + | 0.100888i | ||||
\(448\) | −15.7718 | − | 32.6351i | −0.745146 | − | 1.54186i | ||||
\(449\) | 27.3877 | − | 15.8123i | 1.29251 | − | 0.746229i | 0.313409 | − | 0.949618i | \(-0.398529\pi\) |
0.979098 | + | 0.203389i | \(0.0651955\pi\) | |||||||
\(450\) | −30.3865 | − | 23.8679i | −1.43243 | − | 1.12514i | ||||
\(451\) | −14.4760 | + | 3.87884i | −0.681650 | + | 0.182647i | ||||
\(452\) | 0.605233 | − | 4.26921i | 0.0284678 | − | 0.200807i | ||||
\(453\) | 6.26455 | + | 19.3460i | 0.294334 | + | 0.908954i | ||||
\(454\) | 25.6372 | + | 8.84485i | 1.20321 | + | 0.415109i | ||||
\(455\) | 6.29171 | − | 1.10940i | 0.294960 | − | 0.0520094i | ||||
\(456\) | −28.4987 | + | 17.0152i | −1.33457 | + | 0.796811i | ||||
\(457\) | 13.5837 | − | 16.1884i | 0.635416 | − | 0.757260i | −0.348222 | − | 0.937412i | \(-0.613215\pi\) |
0.983639 | + | 0.180152i | \(0.0576590\pi\) | |||||||
\(458\) | 0.0582961 | + | 3.45892i | 0.00272400 | + | 0.161625i | ||||
\(459\) | 6.02757 | + | 13.6480i | 0.281343 | + | 0.637035i | ||||
\(460\) | −13.4607 | + | 14.4000i | −0.627607 | + | 0.671406i | ||||
\(461\) | 0.373067 | + | 4.26417i | 0.0173754 | + | 0.198602i | 0.999921 | + | 0.0125795i | \(0.00400428\pi\) |
−0.982545 | + | 0.186023i | \(0.940440\pi\) | |||||||
\(462\) | −19.4297 | + | 32.2196i | −0.903951 | + | 1.49899i | ||||
\(463\) | 20.9817 | − | 3.69964i | 0.975103 | − | 0.171937i | 0.336677 | − | 0.941620i | \(-0.390697\pi\) |
0.638426 | + | 0.769683i | \(0.279586\pi\) | |||||||
\(464\) | −8.77246 | − | 15.9161i | −0.407251 | − | 0.738884i | ||||
\(465\) | 34.0436 | + | 52.5373i | 1.57873 | + | 2.43636i | ||||
\(466\) | −13.0476 | + | 9.46769i | −0.604420 | + | 0.438582i | ||||
\(467\) | 5.13977 | + | 19.1819i | 0.237840 | + | 0.887632i | 0.976848 | + | 0.213935i | \(0.0686281\pi\) |
−0.739007 | + | 0.673697i | \(0.764705\pi\) | |||||||
\(468\) | −0.110691 | − | 2.24980i | −0.00511670 | − | 0.103997i | ||||
\(469\) | 1.28934 | − | 4.81187i | 0.0595360 | − | 0.222192i | ||||
\(470\) | −29.6556 | + | 11.3633i | −1.36791 | + | 0.524149i | ||||
\(471\) | −8.05749 | − | 19.0351i | −0.371270 | − | 0.877091i | ||||
\(472\) | 5.96994 | − | 5.54696i | 0.274789 | − | 0.255320i | ||||
\(473\) | 12.9606 | − | 10.8752i | 0.595930 | − | 0.500045i | ||||
\(474\) | −17.9253 | + | 24.5893i | −0.823337 | + | 1.12942i | ||||
\(475\) | 26.0777 | − | 55.9237i | 1.19652 | − | 2.56596i | ||||
\(476\) | −13.7613 | − | 22.0816i | −0.630747 | − | 1.01211i | ||||
\(477\) | 14.1622 | − | 12.2614i | 0.648441 | − | 0.561411i | ||||
\(478\) | 8.44597 | − | 2.41635i | 0.386310 | − | 0.110521i | ||||
\(479\) | 0.0894240 | − | 0.507149i | 0.00408589 | − | 0.0231722i | −0.982697 | − | 0.185222i | \(-0.940699\pi\) |
0.986783 | + | 0.162050i | \(0.0518106\pi\) | |||||||
\(480\) | 22.2649 | − | 29.3017i | 1.01625 | − | 1.33743i | ||||
\(481\) | 0.376002 | + | 0.136853i | 0.0171442 | + | 0.00623998i | ||||
\(482\) | 12.9885 | − | 19.2314i | 0.591612 | − | 0.875965i | ||||
\(483\) | 20.5790 | + | 0.739211i | 0.936379 | + | 0.0336353i | ||||
\(484\) | −0.776732 | − | 0.608354i | −0.0353060 | − | 0.0276525i | ||||
\(485\) | 2.21310 | − | 2.21310i | 0.100492 | − | 0.100492i | ||||
\(486\) | 21.9828 | + | 1.66080i | 0.997158 | + | 0.0753356i | ||||
\(487\) | −35.1405 | −1.59237 | −0.796184 | − | 0.605055i | \(-0.793151\pi\) | ||||
−0.796184 | + | 0.605055i | \(0.793151\pi\) | |||||||
\(488\) | −14.9298 | + | 19.7384i | −0.675841 | + | 0.893515i | ||||
\(489\) | −25.3289 | + | 23.5723i | −1.14541 | + | 1.06598i | ||||
\(490\) | −13.6688 | − | 70.5462i | −0.617493 | − | 3.18695i | ||||
\(491\) | 7.58555 | + | 16.2673i | 0.342331 | + | 0.734131i | 0.999813 | − | 0.0193391i | \(-0.00615621\pi\) |
−0.657482 | + | 0.753470i | \(0.728378\pi\) | |||||||
\(492\) | −11.7091 | − | 9.86910i | −0.527888 | − | 0.444934i | ||||
\(493\) | −7.48258 | − | 10.6862i | −0.336998 | − | 0.481283i | ||||
\(494\) | 3.45839 | − | 0.989429i | 0.155600 | − | 0.0445165i | ||||
\(495\) | −38.1019 | − | 2.74082i | −1.71255 | − | 0.123191i | ||||
\(496\) | −31.9630 | + | 21.4477i | −1.43518 | + | 0.963029i | ||||
\(497\) | −4.08689 | − | 11.2286i | −0.183322 | − | 0.503673i | ||||
\(498\) | −22.1575 | + | 3.47309i | −0.992903 | + | 0.155633i | ||||
\(499\) | 12.4786 | + | 1.09174i | 0.558619 | + | 0.0488729i | 0.362970 | − | 0.931801i | \(-0.381763\pi\) |
0.195650 | + | 0.980674i | \(0.437318\pi\) | |||||||
\(500\) | −1.65186 | + | 30.8107i | −0.0738734 | + | 1.37789i | ||||
\(501\) | −8.13337 | − | 3.29554i | −0.363372 | − | 0.147234i | ||||
\(502\) | 9.14697 | + | 23.8715i | 0.408249 | + | 1.06544i | ||||
\(503\) | 14.5390 | − | 8.39410i | 0.648262 | − | 0.374274i | −0.139528 | − | 0.990218i | \(-0.544558\pi\) |
0.787790 | + | 0.615944i | \(0.211225\pi\) | |||||||
\(504\) | −38.3613 | + | 2.53603i | −1.70875 | + | 0.112964i | ||||
\(505\) | 3.26893 | + | 1.88732i | 0.145466 | + | 0.0839846i | ||||
\(506\) | −1.97554 | + | 12.4247i | −0.0878232 | + | 0.552345i | ||||
\(507\) | 4.65247 | − | 21.7812i | 0.206624 | − | 0.967337i | ||||
\(508\) | −15.5402 | − | 5.06997i | −0.689484 | − | 0.224944i | ||||
\(509\) | 2.11218 | − | 3.01651i | 0.0936209 | − | 0.133705i | −0.769609 | − | 0.638515i | \(-0.779549\pi\) |
0.863230 | + | 0.504811i | \(0.168438\pi\) | |||||||
\(510\) | 13.6419 | − | 22.6218i | 0.604072 | − | 1.00171i | ||||
\(511\) | 0.757638 | − | 0.902918i | 0.0335159 | − | 0.0399427i | ||||
\(512\) | 18.2338 | + | 13.3989i | 0.805826 | + | 0.592153i | ||||
\(513\) | 5.40311 | + | 34.7881i | 0.238553 | + | 1.53593i | ||||
\(514\) | −13.8043 | + | 14.2776i | −0.608882 | + | 0.629758i | ||||
\(515\) | 15.8166 | − | 1.38377i | 0.696962 | − | 0.0609763i | ||||
\(516\) | 16.6889 | + | 4.51115i | 0.734686 | + | 0.198592i | ||||
\(517\) | −11.6260 | + | 16.6036i | −0.511311 | + | 0.730227i | ||||
\(518\) | 2.22728 | − | 6.45587i | 0.0978609 | − | 0.283655i | ||||
\(519\) | −8.83547 | + | 17.2979i | −0.387834 | + | 0.759292i | ||||
\(520\) | −3.14724 | + | 2.44977i | −0.138016 | + | 0.107430i | ||||
\(521\) | −10.6538 | + | 18.4529i | −0.466752 | + | 0.808437i | −0.999279 | − | 0.0379755i | \(-0.987909\pi\) |
0.532527 | + | 0.846413i | \(0.321242\pi\) | |||||||
\(522\) | −19.1383 | + | 2.29943i | −0.837660 | + | 0.100643i | ||||
\(523\) | −20.9985 | − | 5.62654i | −0.918202 | − | 0.246031i | −0.231385 | − | 0.972862i | \(-0.574326\pi\) |
−0.686817 | + | 0.726831i | \(0.740992\pi\) | |||||||
\(524\) | 35.3785 | + | 15.0675i | 1.54552 | + | 0.658228i | ||||
\(525\) | 56.3640 | − | 43.9458i | 2.45993 | − | 1.91795i | ||||
\(526\) | −3.06551 | + | 43.4634i | −0.133662 | + | 1.89509i | ||||
\(527\) | −21.1663 | + | 17.7606i | −0.922019 | + | 0.773666i | ||||
\(528\) | 1.30906 | − | 23.4513i | 0.0569697 | − | 1.02059i | ||||
\(529\) | −15.1426 | + | 5.51146i | −0.658374 | + | 0.239629i | ||||
\(530\) | −32.1776 | − | 8.04332i | −1.39771 | − | 0.349380i | ||||
\(531\) | −3.08143 | − | 8.07557i | −0.133723 | − | 0.350450i | ||||
\(532\) | −17.8794 | − | 58.7333i | −0.775170 | − | 2.54641i | ||||
\(533\) | 0.951904 | + | 1.35946i | 0.0412315 | + | 0.0588847i | ||||
\(534\) | 3.36597 | − | 6.87333i | 0.145660 | − | 0.297438i | ||||
\(535\) | −27.4675 | − | 9.99736i | −1.18752 | − | 0.432223i | ||||
\(536\) | 0.694101 | + | 3.03141i | 0.0299806 | + | 0.130937i | ||||
\(537\) | 5.68879 | − | 18.5409i | 0.245489 | − | 0.800101i | ||||
\(538\) | −21.6355 | + | 26.6848i | −0.932774 | + | 1.15046i | ||||
\(539\) | −32.4298 | − | 32.4298i | −1.39685 | − | 1.39685i | ||||
\(540\) | −19.9630 | − | 33.5422i | −0.859072 | − | 1.44343i | ||||
\(541\) | 20.2882 | − | 20.2882i | 0.872260 | − | 0.872260i | −0.120458 | − | 0.992718i | \(-0.538436\pi\) |
0.992718 | + | 0.120458i | \(0.0384365\pi\) | |||||||
\(542\) | 6.43859 | − | 0.672811i | 0.276561 | − | 0.0288997i | ||||
\(543\) | 3.92606 | + | 17.0835i | 0.168484 | + | 0.733121i | ||||
\(544\) | 14.0420 | + | 8.16354i | 0.602047 | + | 0.350009i | ||||
\(545\) | 17.0413 | − | 46.8207i | 0.729970 | − | 2.00558i | ||||
\(546\) | 4.08865 | + | 0.801542i | 0.174978 | + | 0.0343028i | ||||
\(547\) | 8.73168 | − | 6.11399i | 0.373340 | − | 0.261415i | −0.371815 | − | 0.928307i | \(-0.621264\pi\) |
0.745155 | + | 0.666892i | \(0.232376\pi\) | |||||||
\(548\) | −4.27370 | − | 2.27896i | −0.182564 | − | 0.0973525i | ||||
\(549\) | 13.4748 | + | 22.5277i | 0.575091 | + | 0.961457i | ||||
\(550\) | 22.4666 | + | 37.4417i | 0.957981 | + | 1.59652i | ||||
\(551\) | −10.5282 | − | 28.9261i | −0.448518 | − | 1.23229i | ||||
\(552\) | −11.5698 | + | 5.60291i | −0.492445 | + | 0.238476i | ||||
\(553\) | −36.1793 | − | 43.1168i | −1.53850 | − | 1.83351i | ||||
\(554\) | 26.5113 | + | 30.5348i | 1.12636 | + | 1.29730i | ||||
\(555\) | 6.86726 | − | 0.958138i | 0.291499 | − | 0.0406707i | ||||
\(556\) | 33.0561 | + | 14.0784i | 1.40189 | + | 0.597057i | ||||
\(557\) | −1.35347 | + | 5.05120i | −0.0573482 | + | 0.214026i | −0.988654 | − | 0.150213i | \(-0.952004\pi\) |
0.931306 | + | 0.364239i | \(0.118671\pi\) | |||||||
\(558\) | 8.38461 | + | 39.9567i | 0.354949 | + | 1.69150i | ||||
\(559\) | −1.62255 | − | 0.936781i | −0.0686266 | − | 0.0396216i | ||||
\(560\) | 42.7108 | + | 53.0035i | 1.80486 | + | 2.23981i | ||||
\(561\) | −0.865583 | − | 16.8380i | −0.0365450 | − | 0.710901i | ||||
\(562\) | −0.211868 | − | 0.435057i | −0.00893711 | − | 0.0183518i | ||||
\(563\) | 29.7731 | + | 20.8473i | 1.25479 | + | 0.878610i | 0.996176 | − | 0.0873720i | \(-0.0278469\pi\) |
0.258609 | + | 0.965982i | \(0.416736\pi\) | |||||||
\(564\) | −20.7112 | − | 0.0455778i | −0.872100 | − | 0.00191917i | ||||
\(565\) | 0.705763 | + | 8.06690i | 0.0296917 | + | 0.339377i | ||||
\(566\) | −27.9755 | + | 0.471496i | −1.17590 | + | 0.0198184i | ||||
\(567\) | −12.7556 | + | 38.7307i | −0.535687 | + | 1.62654i | ||||
\(568\) | 5.53450 | + | 5.00139i | 0.232223 | + | 0.209854i | ||||
\(569\) | −19.7591 | − | 16.5799i | −0.828346 | − | 0.695065i | 0.126565 | − | 0.991958i | \(-0.459605\pi\) |
−0.954911 | + | 0.296894i | \(0.904049\pi\) | |||||||
\(570\) | 44.9084 | − | 43.2290i | 1.88101 | − | 1.81066i | ||||
\(571\) | 36.8960 | + | 25.8349i | 1.54405 | + | 1.08116i | 0.963768 | + | 0.266740i | \(0.0859467\pi\) |
0.580282 | + | 0.814415i | \(0.302942\pi\) | |||||||
\(572\) | −0.789509 | + | 2.41996i | −0.0330110 | + | 0.101183i | ||||
\(573\) | −11.3648 | + | 12.5966i | −0.474773 | + | 0.526231i | ||||
\(574\) | 22.9256 | − | 16.6353i | 0.956894 | − | 0.694346i | ||||
\(575\) | 11.9491 | − | 20.6965i | 0.498313 | − | 0.863103i | ||||
\(576\) | 20.4241 | − | 12.6038i | 0.851004 | − | 0.525159i | ||||
\(577\) | 3.29626 | + | 5.70928i | 0.137225 | + | 0.237680i | 0.926445 | − | 0.376430i | \(-0.122848\pi\) |
−0.789220 | + | 0.614110i | \(0.789515\pi\) | |||||||
\(578\) | −11.3087 | − | 5.04310i | −0.470380 | − | 0.209765i | ||||
\(579\) | −18.4016 | + | 2.56745i | −0.764746 | + | 0.106699i | ||||
\(580\) | 22.8068 | + | 25.3908i | 0.946999 | + | 1.05429i | ||||
\(581\) | 3.61566 | − | 41.3271i | 0.150003 | − | 1.71454i | ||||
\(582\) | 1.86598 | − | 0.827214i | 0.0773474 | − | 0.0342891i | ||||
\(583\) | −19.8923 | + | 7.24019i | −0.823853 | + | 0.299858i | ||||
\(584\) | −0.154281 | + | 0.719452i | −0.00638418 | + | 0.0297711i | ||||
\(585\) | 1.15789 | + | 4.06868i | 0.0478727 | + | 0.168219i | ||||
\(586\) | −2.40115 | + | 4.32565i | −0.0991905 | + | 0.178691i | ||||
\(587\) | 11.7319 | − | 8.21474i | 0.484226 | − | 0.339058i | −0.305838 | − | 0.952084i | \(-0.598937\pi\) |
0.790063 | + | 0.613025i | \(0.210048\pi\) | |||||||
\(588\) | 8.23917 | − | 46.1328i | 0.339778 | − | 1.90248i | ||||
\(589\) | −59.0895 | + | 27.5539i | −2.43474 | + | 1.13534i | ||||
\(590\) | −8.56556 | + | 12.6825i | −0.352638 | + | 0.522131i | ||||
\(591\) | 40.5740 | − | 9.32459i | 1.66899 | − | 0.383562i | ||||
\(592\) | 0.656801 | + | 4.21240i | 0.0269943 | + | 0.173128i | ||||
\(593\) | − | 17.4258i | − | 0.715592i | −0.933800 | − | 0.357796i | \(-0.883528\pi\) | ||
0.933800 | − | 0.357796i | \(-0.116472\pi\) | |||||||
\(594\) | −22.5405 | − | 10.6097i | −0.924847 | − | 0.435320i | ||||
\(595\) | 34.5513 | + | 34.5513i | 1.41646 | + | 1.41646i | ||||
\(596\) | −2.41919 | − | 19.9005i | −0.0990939 | − | 0.815154i | ||||
\(597\) | −6.18851 | + | 3.28257i | −0.253279 | + | 0.134346i | ||||
\(598\) | 1.36773 | − | 0.265007i | 0.0559307 | − | 0.0108369i | ||||
\(599\) | 3.91365 | − | 10.7527i | 0.159907 | − | 0.439342i | −0.833702 | − | 0.552214i | \(-0.813783\pi\) |
0.993609 | + | 0.112873i | \(0.0360052\pi\) | |||||||
\(600\) | −18.2615 | + | 40.7088i | −0.745524 | + | 1.66193i | ||||
\(601\) | −9.47924 | − | 1.67145i | −0.386666 | − | 0.0681797i | −0.0230640 | − | 0.999734i | \(-0.507342\pi\) |
−0.363602 | + | 0.931554i | \(0.618453\pi\) | |||||||
\(602\) | −15.5196 | + | 27.9585i | −0.632532 | + | 1.13950i | ||||
\(603\) | 3.25686 | + | 0.522505i | 0.132629 | + | 0.0212780i | ||||
\(604\) | 19.9278 | − | 12.4190i | 0.810852 | − | 0.505322i | ||||
\(605\) | 1.67926 | + | 0.783050i | 0.0682715 | + | 0.0318355i | ||||
\(606\) | 1.54611 | + | 1.91554i | 0.0628063 | + | 0.0778135i | ||||
\(607\) | 14.3202 | + | 17.0662i | 0.581240 | + | 0.692694i | 0.973897 | − | 0.226990i | \(-0.0728886\pi\) |
−0.392657 | + | 0.919685i | \(0.628444\pi\) | |||||||
\(608\) | 27.0194 | + | 27.1823i | 1.09578 | + | 1.10239i | ||||
\(609\) | 4.38053 | − | 35.3844i | 0.177508 | − | 1.43385i | ||||
\(610\) | 18.9299 | − | 42.4485i | 0.766447 | − | 1.71869i | ||||
\(611\) | 2.16810 | + | 0.580940i | 0.0877118 | + | 0.0235023i | ||||
\(612\) | 13.6096 | − | 10.5631i | 0.550136 | − | 0.426986i | ||||
\(613\) | 25.8790 | − | 6.93426i | 1.04524 | − | 0.280072i | 0.304958 | − | 0.952366i | \(-0.401357\pi\) |
0.740284 | + | 0.672294i | \(0.234691\pi\) | |||||||
\(614\) | −2.35109 | − | 0.373824i | −0.0948821 | − | 0.0150863i | ||||
\(615\) | 25.6111 | + | 13.0817i | 1.03274 | + | 0.527506i | ||||
\(616\) | 41.5239 | + | 12.7770i | 1.67305 | + | 0.514802i | ||||
\(617\) | 0.890714 | + | 5.05149i | 0.0358588 | + | 0.203365i | 0.997474 | − | 0.0710374i | \(-0.0226310\pi\) |
−0.961615 | + | 0.274403i | \(0.911520\pi\) | |||||||
\(618\) | 9.94860 | + | 2.86994i | 0.400191 | + | 0.115446i | ||||
\(619\) | −38.1435 | + | 3.33712i | −1.53312 | + | 0.134130i | −0.822221 | − | 0.569168i | \(-0.807265\pi\) |
−0.710895 | + | 0.703299i | \(0.751710\pi\) | |||||||
\(620\) | 49.3636 | − | 52.8086i | 1.98249 | − | 2.12084i | ||||
\(621\) | 0.910371 | + | 13.6045i | 0.0365319 | + | 0.545929i | ||||
\(622\) | −12.5234 | + | 12.9528i | −0.502144 | + | 0.519360i | ||||
\(623\) | 10.8442 | + | 9.09941i | 0.434466 | + | 0.364560i | ||||
\(624\) | −2.48992 | + | 0.751989i | −0.0996764 | + | 0.0301036i | ||||
\(625\) | −2.15465 | − | 12.2196i | −0.0861862 | − | 0.488786i | ||||
\(626\) | −3.09840 | + | 1.50889i | −0.123837 | + | 0.0603073i | ||||
\(627\) | 8.31040 | − | 38.9063i | 0.331885 | − | 1.55377i | ||||
\(628\) | −19.0790 | + | 14.3411i | −0.761336 | + | 0.572274i | ||||
\(629\) | 0.792067 | + | 2.95604i | 0.0315818 | + | 0.117865i | ||||
\(630\) | 69.0994 | − | 20.9297i | 2.75299 | − | 0.833858i | ||||
\(631\) | −13.4648 | − | 23.3217i | −0.536026 | − | 0.928424i | −0.999113 | − | 0.0421111i | \(-0.986592\pi\) |
0.463087 | − | 0.886313i | \(-0.346742\pi\) | |||||||
\(632\) | 32.5546 | + | 13.2212i | 1.29495 | + | 0.525912i | ||||
\(633\) | 35.1314 | − | 14.8710i | 1.39635 | − | 0.591070i | ||||
\(634\) | −13.8353 | − | 15.9350i | −0.549471 | − | 0.632862i | ||||
\(635\) | 30.5815 | + | 2.67553i | 1.21359 | + | 0.106175i | ||||
\(636\) | −17.6913 | − | 12.4457i | −0.701506 | − | 0.493504i | ||||
\(637\) | −2.14637 | + | 4.60290i | −0.0850422 | + | 0.182374i | ||||
\(638\) | 21.1327 | + | 5.28247i | 0.836653 | + | 0.209135i | ||||
\(639\) | 7.11820 | − | 3.45420i | 0.281592 | − | 0.136646i | ||||
\(640\) | −39.0459 | − | 16.7682i | −1.54342 | − | 0.662821i | ||||
\(641\) | 26.6970 | + | 4.70740i | 1.05447 | + | 0.185931i | 0.673900 | − | 0.738822i | \(-0.264618\pi\) |
0.380567 | + | 0.924753i | \(0.375729\pi\) | |||||||
\(642\) | −14.3668 | − | 12.5293i | −0.567013 | − | 0.494491i | ||||
\(643\) | −3.06621 | − | 6.57551i | −0.120920 | − | 0.259313i | 0.836526 | − | 0.547928i | \(-0.184583\pi\) |
−0.957445 | + | 0.288615i | \(0.906805\pi\) | |||||||
\(644\) | −4.91575 | − | 23.2643i | −0.193708 | − | 0.916741i | ||||
\(645\) | −32.4455 | − | 1.16546i | −1.27754 | − | 0.0458899i | ||||
\(646\) | 21.3703 | + | 17.3266i | 0.840804 | + | 0.681707i | ||||
\(647\) | 43.3886i | 1.70578i | 0.522089 | + | 0.852891i | \(0.325153\pi\) | ||||
−0.522089 | + | 0.852891i | \(0.674847\pi\) | |||||||
\(648\) | −4.27495 | − | 25.0943i | −0.167936 | − | 0.985798i | ||||
\(649\) | 9.76767i | 0.383414i | ||||||||
\(650\) | 3.04525 | − | 3.75596i | 0.119445 | − | 0.147321i | ||||
\(651\) | −75.4685 | − | 2.71087i | −2.95784 | − | 0.106247i | ||||
\(652\) | 33.4816 | + | 21.8004i | 1.31124 | + | 0.853771i | ||||
\(653\) | 8.26652 | + | 17.7276i | 0.323494 | + | 0.693735i | 0.999050 | − | 0.0435734i | \(-0.0138742\pi\) |
−0.675556 | + | 0.737308i | \(0.736096\pi\) | |||||||
\(654\) | 21.3572 | − | 24.4894i | 0.835132 | − | 0.957612i | ||||
\(655\) | −71.1183 | − | 12.5401i | −2.77882 | − | 0.489981i | ||||
\(656\) | −7.78967 | + | 15.8742i | −0.304136 | + | 0.619784i | ||||
\(657\) | 0.646143 | + | 0.437709i | 0.0252085 | + | 0.0170767i | ||||
\(658\) | 9.29023 | − | 37.1659i | 0.362171 | − | 1.44888i | ||||
\(659\) | −19.0534 | + | 40.8601i | −0.742214 | + | 1.59168i | 0.0625175 | + | 0.998044i | \(0.480087\pi\) |
−0.804731 | + | 0.593639i | \(0.797691\pi\) | |||||||
\(660\) | 7.56401 | + | 43.4566i | 0.294429 | + | 1.69155i | ||||
\(661\) | −38.6092 | − | 3.37787i | −1.50172 | − | 0.131384i | −0.693585 | − | 0.720375i | \(-0.743970\pi\) |
−0.808140 | + | 0.588991i | \(0.799525\pi\) | |||||||
\(662\) | 10.4816 | − | 9.10049i | 0.407380 | − | 0.353701i | ||||
\(663\) | −1.71937 | + | 0.727805i | −0.0667749 | + | 0.0282656i | ||||
\(664\) | 10.0760 | + | 23.8572i | 0.391026 | + | 0.925838i | ||||
\(665\) | 57.6491 | + | 99.8513i | 2.23554 | + | 3.87207i | ||||
\(666\) | 4.40335 | + | 1.02865i | 0.170626 | + | 0.0398594i | ||||
\(667\) | −3.08564 | − | 11.5158i | −0.119476 | − | 0.445892i | ||||
\(668\) | −1.42234 | + | 10.0329i | −0.0550319 | + | 0.388186i | ||||
\(669\) | −7.58285 | + | 35.5001i | −0.293170 | + | 1.37251i | ||||
\(670\) | −2.55706 | − | 5.25076i | −0.0987879 | − | 0.202854i | ||||
\(671\) | −5.15112 | − | 29.2135i | −0.198857 | − | 1.12777i | ||||
\(672\) | 13.5489 | + | 42.2744i | 0.522660 | + | 1.63077i | ||||
\(673\) | 11.2740 | + | 9.46002i | 0.434581 | + | 0.364657i | 0.833677 | − | 0.552252i | \(-0.186231\pi\) |
−0.399096 | + | 0.916909i | \(0.630676\pi\) | |||||||
\(674\) | 24.6790 | + | 23.8609i | 0.950598 | + | 0.919087i | ||||
\(675\) | 32.7716 | + | 34.1401i | 1.26138 | + | 1.31405i | ||||
\(676\) | −25.7035 | + | 0.866653i | −0.988597 | + | 0.0333328i | ||||
\(677\) | −13.7083 | + | 1.19932i | −0.526854 | + | 0.0460938i | −0.347480 | − | 0.937687i | \(-0.612963\pi\) |
−0.179374 | + | 0.983781i | \(0.557407\pi\) | |||||||
\(678\) | −1.46375 | + | 5.07407i | −0.0562151 | + | 0.194868i | ||||
\(679\) | 0.655598 | + | 3.71808i | 0.0251595 | + | 0.142687i | ||||
\(680\) | −29.1545 | − | 8.97094i | −1.11802 | − | 0.344020i | ||||
\(681\) | −29.5799 | − | 15.1089i | −1.13350 | − | 0.578975i | ||||
\(682\) | 7.24478 | − | 45.5645i | 0.277417 | − | 1.74475i | ||||
\(683\) | 19.3369 | − | 5.18132i | 0.739907 | − | 0.198258i | 0.130870 | − | 0.991399i | \(-0.458223\pi\) |
0.609037 | + | 0.793142i | \(0.291556\pi\) | |||||||
\(684\) | 37.4704 | − | 15.7640i | 1.43272 | − | 0.602751i | ||||
\(685\) | 8.78588 | + | 2.35417i | 0.335691 | + | 0.0899482i | ||||
\(686\) | 38.2024 | + | 17.0363i | 1.45858 | + | 0.650451i | ||||
\(687\) | 0.520546 | − | 4.20479i | 0.0198601 | − | 0.160423i | ||||
\(688\) | 0.396372 | − | 19.9583i | 0.0151116 | − | 0.760903i | ||||
\(689\) | 1.50682 | + | 1.79576i | 0.0574053 | + | 0.0684130i | ||||
\(690\) | 18.7860 | − | 15.1629i | 0.715170 | − | 0.577241i | ||||
\(691\) | −35.9683 | − | 16.7723i | −1.36830 | − | 0.638047i | −0.406966 | − | 0.913443i | \(-0.633413\pi\) |
−0.961331 | + | 0.275396i | \(0.911191\pi\) | |||||||
\(692\) | 21.8477 | + | 5.07161i | 0.830524 | + | 0.192794i | ||||
\(693\) | 29.0709 | − | 35.7534i | 1.10431 | − | 1.35816i | ||||
\(694\) | −14.3056 | − | 7.94097i | −0.543033 | − | 0.301435i | ||||
\(695\) | −66.4496 | − | 11.7169i | −2.52058 | − | 0.444446i | ||||
\(696\) | 7.91828 | + | 20.8018i | 0.300142 | + | 0.788492i | ||||
\(697\) | −4.34126 | + | 11.9275i | −0.164437 | + | 0.451787i | ||||
\(698\) | −3.17981 | − | 16.4114i | −0.120358 | − | 0.621179i | ||||
\(699\) | 17.4420 | − | 9.25173i | 0.659716 | − | 0.349933i | ||||
\(700\) | −64.9717 | − | 50.8873i | −2.45570 | − | 1.92336i | ||||
\(701\) | 30.5858 | + | 30.5858i | 1.15521 | + | 1.15521i | 0.985493 | + | 0.169717i | \(0.0542855\pi\) |
0.169717 | + | 0.985493i | \(0.445715\pi\) | |||||||
\(702\) | −0.250326 | + | 2.74739i | −0.00944794 | + | 0.103694i | ||||
\(703\) | 7.22120i | 0.272353i | ||||||||
\(704\) | −26.6416 | + | 5.07897i | −1.00409 | + | 0.191421i | ||||
\(705\) | 37.9075 | − | 8.71177i | 1.42768 | − | 0.328104i | ||||
\(706\) | 11.9989 | + | 8.10385i | 0.451584 | + | 0.304992i | ||||
\(707\) | −4.12669 | + | 1.92431i | −0.155200 | + | 0.0723710i | ||||
\(708\) | −8.18825 | + | 5.70666i | −0.307733 | + | 0.214469i | ||||
\(709\) | −37.2519 | + | 26.0841i | −1.39903 | + | 0.979608i | −0.401047 | + | 0.916057i | \(0.631354\pi\) |
−0.997979 | + | 0.0635512i | \(0.979757\pi\) | |||||||
\(710\) | −12.2484 | − | 6.79904i | −0.459675 | − | 0.255163i | ||||
\(711\) | 25.9422 | − | 26.7568i | 0.972909 | − | 1.00346i | ||||
\(712\) | −8.64079 | − | 1.85295i | −0.323827 | − | 0.0694421i | ||||
\(713\) | −23.7283 | + | 8.63639i | −0.888631 | + | 0.323435i | ||||
\(714\) | 12.9146 | + | 29.1320i | 0.483316 | + | 1.09024i | ||||
\(715\) | 0.416640 | − | 4.76222i | 0.0155815 | − | 0.178097i | ||||
\(716\) | −22.3622 | − | 1.19891i | −0.835715 | − | 0.0448054i | ||||
\(717\) | −10.6560 | + | 1.48675i | −0.397954 | + | 0.0555236i | ||||
\(718\) | 17.5944 | − | 39.4538i | 0.656616 | − | 1.47240i | ||||
\(719\) | −11.0871 | − | 19.2033i | −0.413477 | − | 0.716164i | 0.581790 | − | 0.813339i | \(-0.302353\pi\) |
−0.995267 | + | 0.0971753i | \(0.969019\pi\) | |||||||
\(720\) | −32.0106 | + | 31.7300i | −1.19296 | + | 1.18251i | ||||
\(721\) | −9.57611 | + | 16.5863i | −0.356633 | + | 0.617706i | ||||
\(722\) | 22.3454 | + | 30.7947i | 0.831610 | + | 1.14606i | ||||
\(723\) | −19.0392 | + | 21.1028i | −0.708077 | + | 0.784822i | ||||
\(724\) | 18.0455 | − | 9.16731i | 0.670654 | − | 0.340701i | ||||
\(725\) | −33.8953 | − | 23.7338i | −1.25884 | − | 0.881449i | ||||
\(726\) | 0.837999 | + | 0.870556i | 0.0311011 | + | 0.0323094i | ||||
\(727\) | 36.8865 | + | 30.9515i | 1.36805 | + | 1.14793i | 0.973405 | + | 0.229092i | \(0.0735756\pi\) |
0.394641 | + | 0.918835i | \(0.370869\pi\) | |||||||
\(728\) | −0.243127 | − | 4.80488i | −0.00901087 | − | 0.178081i | ||||
\(729\) | −26.3759 | − | 5.77175i | −0.976884 | − | 0.213768i | ||||
\(730\) | −0.0232861 | − | 1.38165i | −0.000861857 | − | 0.0511371i | ||||
\(731\) | −1.24890 | − | 14.2749i | −0.0461921 | − | 0.527978i | ||||
\(732\) | 21.4802 | − | 21.3859i | 0.793931 | − | 0.790444i | ||||
\(733\) | 23.3789 | + | 16.3701i | 0.863518 | + | 0.604642i | 0.919193 | − | 0.393807i | \(-0.128842\pi\) |
−0.0556750 | + | 0.998449i | \(0.517731\pi\) | |||||||
\(734\) | −18.0589 | + | 8.79448i | −0.666566 | + | 0.324610i | ||||
\(735\) | 4.51822 | + | 87.8919i | 0.166657 | + | 3.24194i | ||||
\(736\) | 9.50719 | + | 11.3996i | 0.350440 | + | 0.420196i | ||||
\(737\) | −3.22811 | − | 1.86375i | −0.118909 | − | 0.0686522i | ||||
\(738\) | 12.5134 | + | 13.9703i | 0.460623 | + | 0.514254i | ||||
\(739\) | −2.60066 | + | 9.70580i | −0.0956669 | + | 0.357034i | −0.997120 | − | 0.0758436i | \(-0.975835\pi\) |
0.901453 | + | 0.432877i | \(0.142502\pi\) | |||||||
\(740\) | −2.99034 | − | 7.42704i | −0.109927 | − | 0.273023i | ||||
\(741\) | −4.36332 | + | 0.608782i | −0.160291 | + | 0.0223642i | ||||
\(742\) | 30.2115 | − | 26.2306i | 1.10910 | − | 0.962955i | ||||
\(743\) | 0.567275 | + | 0.676052i | 0.0208113 | + | 0.0248019i | 0.776350 | − | 0.630302i | \(-0.217069\pi\) |
−0.755538 | + | 0.655104i | \(0.772625\pi\) | |||||||
\(744\) | 42.4295 | − | 20.5473i | 1.55554 | − | 0.753300i | ||||
\(745\) | 12.8764 | + | 35.3776i | 0.471755 | + | 1.29613i | ||||
\(746\) | −19.0316 | + | 11.4198i | −0.696797 | + | 0.418108i | ||||
\(747\) | 27.4654 | − | 0.424543i | 1.00491 | − | 0.0155332i | ||||
\(748\) | −18.6247 | + | 5.66966i | −0.680986 | + | 0.207303i | ||||
\(749\) | 28.8834 | − | 20.2244i | 1.05538 | − | 0.738983i | ||||
\(750\) | 7.26989 | − | 37.0835i | 0.265459 | − | 1.35410i | ||||
\(751\) | 5.67720 | − | 15.5980i | 0.207164 | − | 0.569179i | −0.791980 | − | 0.610547i | \(-0.790950\pi\) |
0.999144 | + | 0.0413686i | \(0.0131718\pi\) | |||||||
\(752\) | 5.72984 | + | 23.2188i | 0.208946 | + | 0.846702i | ||||
\(753\) | −7.01261 | − | 30.5139i | −0.255554 | − | 1.11199i | ||||
\(754\) | −0.250701 | − | 2.39913i | −0.00913000 | − | 0.0873713i | ||||
\(755\) | −31.1812 | + | 31.1812i | −1.13480 | + | 1.13480i | ||||
\(756\) | 46.9565 | + | 3.48166i | 1.70779 | + | 0.126627i | ||||
\(757\) | 1.01715 | + | 1.01715i | 0.0369689 | + | 0.0369689i | 0.725350 | − | 0.688381i | \(-0.241678\pi\) |
−0.688381 | + | 0.725350i | \(0.741678\pi\) | |||||||
\(758\) | −15.3213 | − | 12.4222i | −0.556493 | − | 0.451193i | ||||
\(759\) | 4.51965 | − | 14.7305i | 0.164053 | − | 0.534682i | ||||
\(760\) | −60.9710 | − | 38.2520i | −2.21165 | − | 1.38754i | ||||
\(761\) | 36.0640 | + | 13.1262i | 1.30732 | + | 0.475825i | 0.899373 | − | 0.437181i | \(-0.144023\pi\) |
0.407945 | + | 0.913006i | \(0.366245\pi\) | |||||||
\(762\) | 17.9799 | + | 8.80499i | 0.651342 | + | 0.318971i | ||||
\(763\) | 34.4742 | + | 49.2342i | 1.24805 | + | 1.78240i | ||||
\(764\) | 17.2861 | + | 9.21787i | 0.625390 | + | 0.333491i | ||||
\(765\) | −20.4111 | + | 25.1029i | −0.737965 | + | 0.907599i | ||||
\(766\) | −4.56393 | + | 18.2582i | −0.164902 | + | 0.659695i | ||||
\(767\) | 1.01642 | − | 0.369946i | 0.0367008 | − | 0.0133580i | ||||
\(768\) | −19.8228 | − | 19.3664i | −0.715294 | − | 0.698824i | ||||
\(769\) | −8.27991 | + | 6.94767i | −0.298581 | + | 0.250539i | −0.779754 | − | 0.626087i | \(-0.784656\pi\) |
0.481172 | + | 0.876626i | \(0.340211\pi\) | |||||||
\(770\) | −81.3876 | − | 5.74034i | −2.93301 | − | 0.206867i | ||||
\(771\) | 19.1818 | − | 14.9557i | 0.690816 | − | 0.538615i | ||||
\(772\) | 8.01297 | + | 19.9016i | 0.288393 | + | 0.716276i | ||||
\(773\) | 38.8377 | + | 10.4065i | 1.39690 | + | 0.374297i | 0.877229 | − | 0.480072i | \(-0.159389\pi\) |
0.519667 | + | 0.854369i | \(0.326056\pi\) | |||||||
\(774\) | −19.4684 | − | 8.32362i | −0.699778 | − | 0.299186i | ||||
\(775\) | −43.8204 | + | 75.8992i | −1.57408 | + | 2.72638i | ||||
\(776\) | −1.44769 | − | 1.85986i | −0.0519690 | − | 0.0667651i | ||||
\(777\) | −3.80467 | + | 7.44869i | −0.136492 | + | 0.267220i | ||||
\(778\) | −4.95425 | − | 1.70922i | −0.177618 | − | 0.0612784i | ||||
\(779\) | −17.1790 | + | 24.5342i | −0.615503 | + | 0.879029i | ||||
\(780\) | 4.23559 | − | 2.43301i | 0.151659 | − | 0.0871157i | ||||
\(781\) | −8.90704 | + | 0.779265i | −0.318719 | + | 0.0278843i | ||||
\(782\) | 7.66033 | + | 7.40640i | 0.273933 | + | 0.264852i | ||||
\(783\) | 23.6032 | + | 0.482729i | 0.843508 | + | 0.0172513i | ||||
\(784\) | −53.9896 | + | 3.64491i | −1.92820 | + | 0.130175i | ||||
\(785\) | 28.8122 | − | 34.3370i | 1.02835 | − | 1.22554i | ||||
\(786\) | −40.3301 | − | 24.3206i | −1.43853 | − | 0.867488i | ||||
\(787\) | 16.2571 | − | 23.2175i | 0.579502 | − | 0.827614i | −0.417196 | − | 0.908817i | \(-0.636987\pi\) |
0.996698 | + | 0.0812023i | \(0.0258760\pi\) | |||||||
\(788\) | −21.7728 | − | 42.8588i | −0.775624 | − | 1.52678i | ||||
\(789\) | 11.1471 | − | 52.1866i | 0.396846 | − | 1.85789i | ||||
\(790\) | −65.1682 | − | 10.3618i | −2.31858 | − | 0.368656i | ||||
\(791\) | −8.45948 | − | 4.88408i | −0.300785 | − | 0.173658i | ||||
\(792\) | −5.59620 | + | 28.2170i | −0.198852 | + | 1.00265i | ||||
\(793\) | −2.84484 | + | 1.64247i | −0.101023 | + | 0.0583259i | ||||
\(794\) | −2.50441 | + | 0.959625i | −0.0888780 | + | 0.0340558i | ||||
\(795\) | 37.6488 | + | 15.2548i | 1.33526 | + | 0.541033i | ||||
\(796\) | 5.40531 | + | 6.01773i | 0.191586 | + | 0.213293i | ||||
\(797\) | −43.9492 | − | 3.84506i | −1.55676 | − | 0.136199i | −0.723987 | − | 0.689813i | \(-0.757693\pi\) |
−0.832773 | + | 0.553614i | \(0.813248\pi\) | |||||||
\(798\) | 11.6439 | + | 74.2855i | 0.412189 | + | 2.62968i | ||||
\(799\) | 5.87149 | + | 16.1318i | 0.207719 | + | 0.570702i | ||||
\(800\) | 50.7096 | + | 9.09868i | 1.79286 | + | 0.321687i | ||||
\(801\) | −5.25699 | + | 7.76033i | −0.185747 | + | 0.274198i | ||||
\(802\) | −0.586732 | − | 2.05083i | −0.0207182 | − | 0.0724173i | ||||
\(803\) | −0.505864 | − | 0.722448i | −0.0178515 | − | 0.0254946i | ||||
\(804\) | −0.323607 | − | 3.79501i | −0.0114127 | − | 0.133840i | ||||
\(805\) | 18.8719 | + | 40.4710i | 0.665149 | + | 1.42642i | ||||
\(806\) | −5.01581 | + | 0.971847i | −0.176674 | + | 0.0342318i | ||||
\(807\) | 30.8000 | − | 28.6640i | 1.08421 | − | 1.00902i | ||||
\(808\) | 1.71473 | − | 2.26701i | 0.0603241 | − | 0.0797532i | ||||
\(809\) | −28.3126 | −0.995420 | −0.497710 | − | 0.867344i | \(-0.665826\pi\) | ||||
−0.497710 | + | 0.867344i | \(0.665826\pi\) | |||||||
\(810\) | 18.4768 | + | 44.0909i | 0.649210 | + | 1.54920i | ||||
\(811\) | 31.9185 | − | 31.9185i | 1.12081 | − | 1.12081i | 0.129191 | − | 0.991620i | \(-0.458762\pi\) |
0.991620 | − | 0.129191i | \(-0.0412381\pi\) | |||||||
\(812\) | −40.8694 | + | 4.96827i | −1.43423 | + | 0.174352i | ||||
\(813\) | −7.92346 | − | 0.284615i | −0.277888 | − | 0.00998189i | ||||
\(814\) | −4.23468 | − | 2.86003i | −0.148425 | − | 0.100244i | ||||
\(815\) | −70.5072 | − | 25.6625i | −2.46976 | − | 0.898919i | ||||
\(816\) | −15.6342 | − | 12.3007i | −0.547305 | − | 0.430609i | ||||
\(817\) | 5.87143 | − | 33.2985i | 0.205415 | − | 1.16497i | ||||
\(818\) | −10.4696 | − | 36.5948i | −0.366060 | − | 1.27951i | ||||
\(819\) | −4.82153 | − | 1.67096i | −0.168478 | − | 0.0583882i | ||||
\(820\) | 7.50897 | − | 32.3475i | 0.262225 | − | 1.12962i | ||||
\(821\) | 12.0908 | − | 25.9287i | 0.421970 | − | 0.904918i | −0.574301 | − | 0.818644i | \(-0.694726\pi\) |
0.996271 | − | 0.0862742i | \(-0.0274961\pi\) | |||||||
\(822\) | 4.79342 | + | 3.49435i | 0.167190 | + | 0.121879i | ||||
\(823\) | −13.6967 | + | 11.4929i | −0.477436 | + | 0.400617i | −0.849498 | − | 0.527591i | \(-0.823095\pi\) |
0.372062 | + | 0.928208i | \(0.378651\pi\) | |||||||
\(824\) | 0.438806 | − | 11.9480i | 0.0152865 | − | 0.416230i | ||||
\(825\) | −20.8465 | − | 49.2480i | −0.725783 | − | 1.71460i | ||||
\(826\) | −6.60551 | − | 17.2389i | −0.229835 | − | 0.599818i | ||||
\(827\) | −1.58874 | + | 5.92926i | −0.0552460 | + | 0.206181i | −0.988032 | − | 0.154250i | \(-0.950704\pi\) |
0.932786 | + | 0.360431i | \(0.117370\pi\) | |||||||
\(828\) | 14.9891 | − | 4.81730i | 0.520908 | − | 0.167413i | ||||
\(829\) | 4.36652 | + | 16.2961i | 0.151656 | + | 0.565986i | 0.999369 | + | 0.0355312i | \(0.0113123\pi\) |
−0.847713 | + | 0.530455i | \(0.822021\pi\) | |||||||
\(830\) | −28.5637 | − | 39.3643i | −0.991461 | − | 1.36636i | ||||
\(831\) | −26.9324 | − | 41.5630i | −0.934274 | − | 1.44181i | ||||
\(832\) | 1.53756 | + | 2.57995i | 0.0533051 | + | 0.0894437i | ||||
\(833\) | −38.2533 | + | 6.74510i | −1.32540 | + | 0.233704i | ||||
\(834\) | −37.6825 | − | 22.7241i | −1.30484 | − | 0.786870i | ||||
\(835\) | −1.65859 | − | 18.9578i | −0.0573979 | − | 0.656061i | ||||
\(836\) | −45.9124 | + | 1.54804i | −1.58791 | + | 0.0535402i | ||||
\(837\) | −3.33856 | − | 49.8910i | −0.115397 | − | 1.72448i | ||||
\(838\) | 43.9749 | − | 0.741147i | 1.51909 | − | 0.0256025i | ||||
\(839\) | 18.2327 | − | 21.7289i | 0.629463 | − | 0.750165i | −0.353204 | − | 0.935546i | \(-0.614908\pi\) |
0.982667 | + | 0.185382i | \(0.0593522\pi\) | |||||||
\(840\) | −42.7378 | − | 71.5811i | −1.47459 | − | 2.46978i | ||||
\(841\) | 8.23072 | − | 1.45130i | 0.283818 | − | 0.0500447i | ||||
\(842\) | 13.1750 | − | 38.1885i | 0.454042 | − | 1.31606i | ||||
\(843\) | 0.182579 | + | 0.563835i | 0.00628834 | + | 0.0194195i | ||||
\(844\) | −26.4682 | − | 35.2125i | −0.911073 | − | 1.21206i | ||||
\(845\) | 46.6527 | − | 12.5006i | 1.60490 | − | 0.430032i | ||||
\(846\) | 25.1099 | + | 3.59552i | 0.863297 | + | 0.123617i | ||||
\(847\) | −1.93563 | + | 1.11754i | −0.0665090 | + | 0.0383990i | ||||
\(848\) | −9.00690 | + | 23.2962i | −0.309298 | + | 0.799995i | ||||
\(849\) | 34.0081 | + | 4.21015i | 1.16716 | + | 0.144492i | ||||
\(850\) | 36.8905 | + | 2.60191i | 1.26533 | + | 0.0892449i | ||||
\(851\) | −0.243754 | + | 2.78612i | −0.00835577 | + | 0.0955069i | ||||
\(852\) | −5.85711 | − | 7.01151i | −0.200661 | − | 0.240210i | ||||
\(853\) | −6.00566 | − | 2.80048i | −0.205630 | − | 0.0958868i | 0.317075 | − | 0.948400i | \(-0.397299\pi\) |
−0.522705 | + | 0.852514i | \(0.675077\pi\) | |||||||
\(854\) | 28.8472 | + | 48.0752i | 0.987130 | + | 1.64510i | ||||
\(855\) | −61.8523 | + | 44.7499i | −2.11531 | + | 1.53041i | ||||
\(856\) | −10.0285 | + | 19.5946i | −0.342766 | + | 0.669728i | ||||
\(857\) | 7.78416 | − | 44.1461i | 0.265902 | − | 1.50800i | −0.500553 | − | 0.865706i | \(-0.666870\pi\) |
0.766455 | − | 0.642298i | \(-0.222019\pi\) | |||||||
\(858\) | 1.37113 | − | 2.79987i | 0.0468098 | − | 0.0955859i | ||||
\(859\) | 26.9601 | − | 12.5717i | 0.919868 | − | 0.428941i | 0.0957793 | − | 0.995403i | \(-0.469466\pi\) |
0.824088 | + | 0.566461i | \(0.191688\pi\) | |||||||
\(860\) | 7.75031 | + | 36.6791i | 0.264283 | + | 1.25075i | ||||
\(861\) | −30.6467 | + | 16.2559i | −1.04444 | + | 0.554000i | ||||
\(862\) | −3.74629 | − | 35.8508i | −0.127599 | − | 1.22108i | ||||
\(863\) | 47.3978 | 1.61344 | 0.806720 | − | 0.590934i | \(-0.201241\pi\) | ||||
0.806720 | + | 0.590934i | \(0.201241\pi\) | |||||||
\(864\) | −26.9239 | + | 11.7942i | −0.915970 | + | 0.401247i | ||||
\(865\) | −42.1208 | −1.43215 | ||||||||
\(866\) | −0.795390 | − | 7.61163i | −0.0270284 | − | 0.258654i | ||||
\(867\) | 12.8527 | + | 8.04910i | 0.436500 | + | 0.273362i | ||||
\(868\) | 18.0273 | + | 85.3159i | 0.611886 | + | 2.89581i | ||||
\(869\) | −38.1695 | + | 17.7987i | −1.29481 | + | 0.603780i | ||||
\(870\) | −23.3189 | − | 34.6913i | −0.790586 | − | 1.17615i | ||||
\(871\) | −0.0716778 | + | 0.406505i | −0.00242871 | + | 0.0137739i | ||||
\(872\) | −33.4006 | − | 17.0944i | −1.13109 | − | 0.578888i | ||||
\(873\) | −2.40438 | + | 0.684252i | −0.0813760 | + | 0.0231584i | ||||
\(874\) | 12.9364 | + | 21.5592i | 0.437581 | + | 0.729249i | ||||
\(875\) | 63.3497 | + | 29.5405i | 2.14161 | + | 0.998650i | ||||
\(876\) | 0.310084 | − | 0.846150i | 0.0104768 | − | 0.0285887i | ||||
\(877\) | 4.27306 | − | 48.8413i | 0.144291 | − | 1.64925i | −0.486776 | − | 0.873527i | \(-0.661827\pi\) |
0.631068 | − | 0.775728i | \(-0.282617\pi\) | |||||||
\(878\) | 15.3421 | + | 1.08209i | 0.517772 | + | 0.0365189i | ||||
\(879\) | 3.65141 | − | 4.83553i | 0.123159 | − | 0.163098i | ||||
\(880\) | 46.5801 | − | 20.6047i | 1.57021 | − | 0.694586i | ||||
\(881\) | −36.9760 | + | 21.3481i | −1.24575 | + | 0.719236i | −0.970260 | − | 0.242067i | \(-0.922175\pi\) |
−0.275494 | + | 0.961303i | \(0.588841\pi\) | |||||||
\(882\) | −17.8778 | + | 54.5396i | −0.601976 | + | 1.83644i | ||||
\(883\) | 5.96743 | − | 1.59897i | 0.200820 | − | 0.0538096i | −0.157007 | − | 0.987598i | \(-0.550184\pi\) |
0.357827 | + | 0.933788i | \(0.383518\pi\) | |||||||
\(884\) | 1.29538 | + | 1.72334i | 0.0435685 | + | 0.0579622i | ||||
\(885\) | 12.5558 | − | 13.9167i | 0.422059 | − | 0.467804i | ||||
\(886\) | −0.473302 | + | 1.37189i | −0.0159009 | + | 0.0460895i | ||||
\(887\) | −37.5007 | + | 6.61238i | −1.25915 | + | 0.222022i | −0.763105 | − | 0.646275i | \(-0.776326\pi\) |
−0.496045 | + | 0.868297i | \(0.665215\pi\) | |||||||
\(888\) | −0.0765000 | − | 5.22089i | −0.00256717 | − | 0.175201i | ||||
\(889\) | −23.8030 | + | 28.3673i | −0.798328 | + | 0.951410i | ||||
\(890\) | 16.5939 | − | 0.279671i | 0.556229 | − | 0.00937460i | ||||
\(891\) | 25.5226 | + | 16.7199i | 0.855039 | + | 0.560137i | ||||
\(892\) | 41.8929 | − | 1.41252i | 1.40268 | − | 0.0472945i | ||||
\(893\) | 3.53050 | + | 40.3538i | 0.118144 | + | 1.35039i | ||||
\(894\) | −0.467766 | + | 24.5480i | −0.0156444 | + | 0.821007i | ||||
\(895\) | 41.4174 | − | 7.30301i | 1.38443 | − | 0.244113i | ||||
\(896\) | 43.5849 | − | 26.9806i | 1.45607 | − | 0.901358i | ||||
\(897\) | −1.70403 | + | 0.0875980i | −0.0568958 | + | 0.00292481i | ||||
\(898\) | 26.2664 | + | 36.1983i | 0.876519 | + | 1.20795i | ||||
\(899\) | 11.3158 | + | 42.2312i | 0.377404 | + | 1.40849i | ||||
\(900\) | 29.1053 | − | 46.2484i | 0.970178 | − | 1.54161i | ||||
\(901\) | −4.64037 | + | 17.3181i | −0.154593 | + | 0.576950i | ||||
\(902\) | −7.58349 | − | 19.7912i | −0.252503 | − | 0.658975i | ||||
\(903\) | 23.6006 | − | 31.2540i | 0.785378 | − | 1.04007i | ||||
\(904\) | 6.09384 | + | 0.223803i | 0.202678 | + | 0.00744359i | ||||
\(905\) | −29.1185 | + | 24.4333i | −0.967932 | + | 0.812192i | ||||
\(906\) | −26.2904 | + | 11.6549i | −0.873442 | + | 0.387208i | ||||
\(907\) | 2.96418 | − | 6.35670i | 0.0984239 | − | 0.211071i | −0.850930 | − | 0.525279i | \(-0.823961\pi\) |
0.949354 | + | 0.314208i | \(0.101739\pi\) | |||||||
\(908\) | −8.67260 | + | 37.3602i | −0.287810 | + | 1.23984i | ||||
\(909\) | −1.54762 | − | 2.58737i | −0.0513314 | − | 0.0858176i | ||||
\(910\) | 2.48519 | + | 8.68657i | 0.0823831 | + | 0.287957i | ||||
\(911\) | −7.10211 | + | 40.2781i | −0.235303 | + | 1.33447i | 0.606670 | + | 0.794954i | \(0.292505\pi\) |
−0.841974 | + | 0.539519i | \(0.818606\pi\) | |||||||
\(912\) | −28.1216 | − | 37.5840i | −0.931199 | − | 1.24453i | ||||
\(913\) | −29.1692 | − | 10.6167i | −0.965360 | − | 0.351362i | ||||
\(914\) | 24.7664 | + | 16.7268i | 0.819198 | + | 0.553273i | ||||
\(915\) | −30.2132 | + | 48.2440i | −0.998817 | + | 1.59490i | ||||
\(916\) | −4.85659 | + | 0.590389i | −0.160466 | + | 0.0195070i | ||||
\(917\) | 61.5978 | − | 61.5978i | 2.03414 | − | 2.03414i | ||||
\(918\) | −18.3108 | + | 10.4841i | −0.604345 | + | 0.346027i | ||||
\(919\) | −22.1295 | −0.729985 | −0.364992 | − | 0.931011i | \(-0.618928\pi\) | ||||
−0.364992 | + | 0.931011i | \(0.618928\pi\) | |||||||
\(920\) | −22.2329 | − | 16.8166i | −0.732997 | − | 0.554428i | ||||
\(921\) | 2.78740 | + | 0.855238i | 0.0918479 | + | 0.0281810i | ||||
\(922\) | −5.94296 | + | 1.15149i | −0.195721 | + | 0.0379222i | ||||
\(923\) | 0.418440 | + | 0.897348i | 0.0137731 | + | 0.0295366i | ||||
\(924\) | −48.1744 | − | 22.5933i | −1.58482 | − | 0.743265i | ||||
\(925\) | 5.56766 | + | 7.95144i | 0.183063 | + | 0.261442i | ||||
\(926\) | 8.28765 | + | 28.9682i | 0.272349 | + | 0.951953i | ||||
\(927\) | −11.5747 | − | 5.18110i | −0.380162 | − | 0.170170i | ||||
\(928\) | 21.0974 | − | 14.6783i | 0.692557 | − | 0.481839i | ||||
\(929\) | 0.359891 | + | 0.988793i | 0.0118076 | + | 0.0324412i | 0.945456 | − | 0.325749i | \(-0.105616\pi\) |
−0.933649 | + | 0.358190i | \(0.883394\pi\) | |||||||
\(930\) | −68.8929 | + | 55.6061i | −2.25909 | + | 1.82340i | ||||
\(931\) | −91.3074 | − | 7.98836i | −2.99248 | − | 0.261808i | ||||
\(932\) | −15.2346 | − | 16.9607i | −0.499025 | − | 0.555565i | ||||
\(933\) | 17.4020 | − | 13.5679i | 0.569714 | − | 0.444194i | ||||
\(934\) | −26.2250 | + | 10.0487i | −0.858107 | + | 0.328805i | ||||
\(935\) | 31.6634 | − | 18.2809i | 1.03550 | − | 0.597849i | ||||
\(936\) | 3.14820 | − | 0.486370i | 0.102902 | − | 0.0158975i | ||||
\(937\) | 30.4793 | + | 17.5972i | 0.995715 | + | 0.574876i | 0.906978 | − | 0.421179i | \(-0.138384\pi\) |
0.0887372 | + | 0.996055i | \(0.471717\pi\) | |||||||
\(938\) | 6.95767 | + | 1.10627i | 0.227176 | + | 0.0361211i | ||||
\(939\) | 4.01553 | − | 1.30029i | 0.131042 | − | 0.0424335i | ||||
\(940\) | −20.3419 | − | 40.0421i | −0.663479 | − | 1.30603i | ||||
\(941\) | −8.67754 | + | 12.3928i | −0.282880 | + | 0.403994i | −0.935296 | − | 0.353867i | \(-0.884867\pi\) |
0.652416 | + | 0.757861i | \(0.273756\pi\) | |||||||
\(942\) | 25.5896 | − | 14.1311i | 0.833755 | − | 0.460416i | ||||
\(943\) | −7.45625 | + | 8.88602i | −0.242809 | + | 0.289368i | ||||
\(944\) | 8.67957 | + | 7.58175i | 0.282496 | + | 0.246765i | ||||
\(945\) | −87.3785 | + | 13.5712i | −2.84242 | + | 0.441471i | ||||
\(946\) | 17.2016 | + | 16.6314i | 0.559272 | + | 0.540733i | ||||
\(947\) | 31.2942 | − | 2.73788i | 1.01692 | − | 0.0889693i | 0.433513 | − | 0.901147i | \(-0.357274\pi\) |
0.583410 | + | 0.812178i | \(0.301718\pi\) | |||||||
\(948\) | −37.2208 | − | 21.5988i | −1.20888 | − | 0.701497i | ||||
\(949\) | −0.0560183 | + | 0.0800024i | −0.00181843 | + | 0.00259699i | ||||
\(950\) | 82.4927 | + | 28.4600i | 2.67642 | + | 0.923364i | ||||
\(951\) | 14.0551 | + | 21.6903i | 0.455766 | + | 0.703355i | ||||
\(952\) | 29.0364 | − | 22.6015i | 0.941076 | − | 0.732520i | ||||
\(953\) | 16.2242 | − | 28.1011i | 0.525552 | − | 0.910283i | −0.474005 | − | 0.880522i | \(-0.657192\pi\) |
0.999557 | − | 0.0297606i | \(-0.00947449\pi\) | |||||||
\(954\) | 19.3279 | + | 18.1177i | 0.625764 | + | 0.586581i | ||||
\(955\) | −35.5368 | − | 9.52206i | −1.14994 | − | 0.308127i | ||||
\(956\) | 4.64012 | + | 11.5246i | 0.150072 | + | 0.372731i | ||||
\(957\) | −24.7259 | − | 10.0187i | −0.799276 | − | 0.323857i | ||||
\(958\) | 0.726476 | + | 0.0512389i | 0.0234714 | + | 0.00165545i | ||||
\(959\) | −8.40516 | + | 7.05277i | −0.271417 | + | 0.227746i | ||||
\(960\) | 44.4869 | + | 27.0100i | 1.43581 | + | 0.871745i | ||||
\(961\) | 57.8870 | − | 21.0692i | 1.86732 | − | 0.679650i | ||||
\(962\) | −0.137227 | + | 0.548982i | −0.00442438 | + | 0.0176999i | ||||
\(963\) | 15.2818 | + | 17.6507i | 0.492448 | + | 0.568787i | ||||
\(964\) | 28.9590 | + | 15.4425i | 0.932708 | + | 0.497368i | ||||
\(965\) | −23.1099 | − | 33.0043i | −0.743933 | − | 1.06245i | ||||
\(966\) | 1.98497 | + | 29.0542i | 0.0638654 | + | 0.934804i | ||||
\(967\) | −9.66995 | − | 3.51958i | −0.310965 | − | 0.113182i | 0.181823 | − | 0.983331i | \(-0.441800\pi\) |
−0.492788 | + | 0.870149i | \(0.664022\pi\) | |||||||
\(968\) | 0.741520 | − | 1.18193i | 0.0238333 | − | 0.0379887i | ||||
\(969\) | −22.9553 | − | 24.6659i | −0.737431 | − | 0.792383i | ||||
\(970\) | 3.43813 | + | 2.78757i | 0.110392 | + | 0.0895035i | ||||
\(971\) | −20.8585 | − | 20.8585i | −0.669380 | − | 0.669380i | 0.288192 | − | 0.957573i | \(-0.406946\pi\) |
−0.957573 | + | 0.288192i | \(0.906946\pi\) | |||||||
\(972\) | 0.895018 | + | 31.1641i | 0.0287077 | + | 0.999588i | ||||
\(973\) | 57.5542 | − | 57.5542i | 1.84510 | − | 1.84510i | ||||
\(974\) | −5.16496 | − | 49.4270i | −0.165496 | − | 1.58374i | ||||
\(975\) | −4.33518 | + | 4.03453i | −0.138837 | + | 0.129208i | ||||
\(976\) | −29.9575 | − | 18.0985i | −0.958916 | − | 0.579317i | ||||
\(977\) | −17.8802 | + | 49.1254i | −0.572038 | + | 1.57166i | 0.229241 | + | 0.973370i | \(0.426376\pi\) |
−0.801279 | + | 0.598291i | \(0.795847\pi\) | |||||||
\(978\) | −36.8786 | − | 32.1618i | −1.17925 | − | 1.02842i | ||||
\(979\) | 8.67677 | − | 6.07554i | 0.277311 | − | 0.194175i | ||||
\(980\) | 97.2180 | − | 29.5948i | 3.10552 | − | 0.945371i | ||||
\(981\) | −30.0872 | + | 26.0491i | −0.960609 | + | 0.831683i | ||||
\(982\) | −21.7659 | + | 13.0605i | −0.694577 | + | 0.416776i | ||||
\(983\) | 13.3293 | + | 36.6221i | 0.425140 | + | 1.16806i | 0.948729 | + | 0.316091i | \(0.102371\pi\) |
−0.523589 | + | 0.851971i | \(0.675407\pi\) | |||||||
\(984\) | 12.1604 | − | 17.9201i | 0.387660 | − | 0.571271i | ||||
\(985\) | 58.0304 | + | 69.1579i | 1.84900 | + | 2.20355i | ||||
\(986\) | 13.9310 | − | 12.0953i | 0.443653 | − | 0.385193i | ||||
\(987\) | −17.6197 | + | 43.4852i | −0.560841 | + | 1.38415i | ||||
\(988\) | 1.90000 | + | 4.71899i | 0.0604471 | + | 0.150131i | ||||
\(989\) | 3.38934 | − | 12.6492i | 0.107775 | − | 0.402221i | ||||
\(990\) | −1.74511 | − | 53.9953i | −0.0554632 | − | 1.71608i | ||||
\(991\) | −6.33438 | − | 3.65716i | −0.201218 | − | 0.116173i | 0.396005 | − | 0.918248i | \(-0.370396\pi\) |
−0.597224 | + | 0.802075i | \(0.703730\pi\) | |||||||
\(992\) | −34.8652 | − | 41.8053i | −1.10697 | − | 1.32732i | ||||
\(993\) | −14.2673 | + | 9.24503i | −0.452758 | + | 0.293382i | ||||
\(994\) | 15.1930 | − | 7.39882i | 0.481893 | − | 0.234676i | ||||
\(995\) | −12.4437 | − | 8.71315i | −0.394491 | − | 0.276226i | ||||
\(996\) | −8.14181 | − | 30.6553i | −0.257983 | − | 0.971351i | ||||
\(997\) | −4.16348 | − | 47.5888i | −0.131859 | − | 1.50715i | −0.717487 | − | 0.696572i | \(-0.754708\pi\) |
0.585628 | − | 0.810580i | \(-0.300848\pi\) | |||||||
\(998\) | 0.298521 | + | 17.7123i | 0.00944952 | + | 0.560674i | ||||
\(999\) | −5.16437 | − | 2.00019i | −0.163393 | − | 0.0632831i |
(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 | 432.2.bj.a.11.39 | ✓ | 840 | |
16.3 | odd | 4 | inner | 432.2.bj.a.227.1 | yes | 840 | |
27.5 | odd | 18 | inner | 432.2.bj.a.59.1 | yes | 840 | |
432.275 | even | 36 | inner | 432.2.bj.a.275.39 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bj.a.11.39 | ✓ | 840 | 1.1 | even | 1 | trivial | |
432.2.bj.a.59.1 | yes | 840 | 27.5 | odd | 18 | inner | |
432.2.bj.a.227.1 | yes | 840 | 16.3 | odd | 4 | inner | |
432.2.bj.a.275.39 | yes | 840 | 432.275 | even | 36 | inner |