Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 115.4 |
Dual form | 115.2.j.a.29.9 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.55935 | − | 0.712130i | 1.10262 | − | 0.503552i | 0.220890 | − | 0.975299i | \(-0.429104\pi\) |
0.881734 | + | 0.471747i | \(0.156376\pi\) | |||||||
\(3\) | 0.478796 | + | 1.63063i | 0.276433 | + | 0.941444i | 0.974307 | + | 0.225223i | \(0.0723112\pi\) |
−0.697874 | + | 0.716220i | \(0.745871\pi\) | |||||||
\(4\) | 0.614711 | − | 0.709414i | 0.307355 | − | 0.354707i | ||||
\(5\) | 1.15098 | − | 1.91709i | 0.514735 | − | 0.857349i | ||||
\(6\) | 1.90783 | + | 2.20175i | 0.778867 | + | 0.898861i | ||||
\(7\) | −4.84873 | + | 0.697142i | −1.83265 | + | 0.263495i | −0.970139 | − | 0.242548i | \(-0.922017\pi\) |
−0.862508 | + | 0.506043i | \(0.831108\pi\) | |||||||
\(8\) | −0.512574 | + | 1.74567i | −0.181222 | + | 0.617186i | ||||
\(9\) | 0.0940571 | − | 0.0604468i | 0.0313524 | − | 0.0201489i | ||||
\(10\) | 0.429565 | − | 3.80906i | 0.135840 | − | 1.20453i | ||||
\(11\) | 1.53428 | − | 3.35960i | 0.462602 | − | 1.01296i | −0.524285 | − | 0.851543i | \(-0.675667\pi\) |
0.986887 | − | 0.161414i | \(-0.0516055\pi\) | |||||||
\(12\) | 1.45111 | + | 0.662701i | 0.418900 | + | 0.191305i | ||||
\(13\) | −2.46303 | − | 0.354130i | −0.683122 | − | 0.0982181i | −0.207988 | − | 0.978131i | \(-0.566691\pi\) |
−0.475134 | + | 0.879913i | \(0.657601\pi\) | |||||||
\(14\) | −7.06439 | + | 4.54001i | −1.88804 | + | 1.21337i | ||||
\(15\) | 3.67715 | + | 0.958931i | 0.949436 | + | 0.247595i | ||||
\(16\) | 0.711039 | + | 4.94539i | 0.177760 | + | 1.23635i | ||||
\(17\) | 2.98808 | − | 2.58919i | 0.724717 | − | 0.627971i | −0.212320 | − | 0.977200i | \(-0.568102\pi\) |
0.937037 | + | 0.349229i | \(0.113557\pi\) | |||||||
\(18\) | 0.103622 | − | 0.161238i | 0.0244239 | − | 0.0380043i | ||||
\(19\) | −1.98999 | + | 2.29657i | −0.456536 | + | 0.526870i | −0.936618 | − | 0.350354i | \(-0.886061\pi\) |
0.480082 | + | 0.877224i | \(0.340607\pi\) | |||||||
\(20\) | −0.652489 | − | 1.99498i | −0.145901 | − | 0.446091i | ||||
\(21\) | −3.45833 | − | 7.57269i | −0.754669 | − | 1.65250i | ||||
\(22\) | − | 6.33138i | − | 1.34986i | ||||||
\(23\) | −4.46862 | + | 1.74111i | −0.931771 | + | 0.363047i | ||||
\(24\) | −3.09195 | −0.631142 | ||||||||
\(25\) | −2.35047 | − | 4.41308i | −0.470095 | − | 0.882616i | ||||
\(26\) | −4.09291 | + | 1.20179i | −0.802685 | + | 0.235690i | ||||
\(27\) | 3.99672 | + | 3.46318i | 0.769169 | + | 0.666489i | ||||
\(28\) | −2.48600 | + | 3.86830i | −0.469811 | + | 0.731040i | ||||
\(29\) | 3.40111 | + | 3.92509i | 0.631571 | + | 0.728872i | 0.977861 | − | 0.209256i | \(-0.0671041\pi\) |
−0.346290 | + | 0.938128i | \(0.612559\pi\) | |||||||
\(30\) | 6.41683 | − | 1.12330i | 1.17155 | − | 0.205086i | ||||
\(31\) | 0.607241 | + | 0.178302i | 0.109064 | + | 0.0320240i | 0.335809 | − | 0.941930i | \(-0.390990\pi\) |
−0.226745 | + | 0.973954i | \(0.572808\pi\) | |||||||
\(32\) | 2.66327 | + | 4.14413i | 0.470804 | + | 0.732585i | ||||
\(33\) | 6.21286 | + | 0.893275i | 1.08152 | + | 0.155499i | ||||
\(34\) | 2.81562 | − | 6.16535i | 0.482875 | − | 1.05735i | ||||
\(35\) | −4.24432 | + | 10.0979i | −0.717421 | + | 1.70685i | ||||
\(36\) | 0.0149361 | − | 0.103883i | 0.00248935 | − | 0.0173138i | ||||
\(37\) | 4.00078 | + | 6.22534i | 0.657724 | + | 1.02344i | 0.996583 | + | 0.0826016i | \(0.0263229\pi\) |
−0.338858 | + | 0.940837i | \(0.610041\pi\) | |||||||
\(38\) | −1.46763 | + | 4.99829i | −0.238081 | + | 0.810829i | ||||
\(39\) | −0.601834 | − | 4.18585i | −0.0963705 | − | 0.670272i | ||||
\(40\) | 2.75664 | + | 2.99188i | 0.435862 | + | 0.473058i | ||||
\(41\) | −1.59379 | − | 1.02426i | −0.248907 | − | 0.159963i | 0.410238 | − | 0.911978i | \(-0.365446\pi\) |
−0.659146 | + | 0.752015i | \(0.729082\pi\) | |||||||
\(42\) | −10.7855 | − | 9.34566i | −1.66423 | − | 1.44207i | ||||
\(43\) | −0.621529 | − | 2.11673i | −0.0947822 | − | 0.322799i | 0.898430 | − | 0.439117i | \(-0.144709\pi\) |
−0.993212 | + | 0.116319i | \(0.962891\pi\) | |||||||
\(44\) | −1.44021 | − | 3.15362i | −0.217120 | − | 0.475426i | ||||
\(45\) | −0.00762390 | − | 0.249889i | −0.00113650 | − | 0.0372513i | ||||
\(46\) | −5.72822 | + | 5.89723i | −0.844580 | + | 0.869499i | ||||
\(47\) | − | 5.14725i | − | 0.750804i | −0.926862 | − | 0.375402i | \(-0.877505\pi\) | ||
0.926862 | − | 0.375402i | \(-0.122495\pi\) | |||||||
\(48\) | −7.72364 | + | 3.52727i | −1.11481 | + | 0.509118i | ||||
\(49\) | 16.3077 | − | 4.78838i | 2.32967 | − | 0.684054i | ||||
\(50\) | −6.80789 | − | 5.20768i | −0.962781 | − | 0.736477i | ||||
\(51\) | 5.65269 | + | 3.63276i | 0.791535 | + | 0.508688i | ||||
\(52\) | −1.76528 | + | 1.52962i | −0.244800 | + | 0.212120i | ||||
\(53\) | 3.88497 | − | 0.558574i | 0.533641 | − | 0.0767260i | 0.129774 | − | 0.991544i | \(-0.458575\pi\) |
0.403867 | + | 0.914818i | \(0.367666\pi\) | |||||||
\(54\) | 8.69850 | + | 2.55411i | 1.18372 | + | 0.347570i | ||||
\(55\) | −4.67473 | − | 6.80819i | −0.630340 | − | 0.918017i | ||||
\(56\) | 1.26835 | − | 8.82160i | 0.169491 | − | 1.17884i | ||||
\(57\) | −4.69766 | − | 2.14535i | −0.622220 | − | 0.284158i | ||||
\(58\) | 8.09869 | + | 3.69855i | 1.06341 | + | 0.485643i | ||||
\(59\) | −0.185497 | + | 1.29016i | −0.0241497 | + | 0.167965i | −0.998327 | − | 0.0578193i | \(-0.981585\pi\) |
0.974177 | + | 0.225784i | \(0.0724944\pi\) | |||||||
\(60\) | 2.94066 | − | 2.01916i | 0.379638 | − | 0.260672i | ||||
\(61\) | −8.33574 | − | 2.44759i | −1.06728 | − | 0.313382i | −0.299502 | − | 0.954096i | \(-0.596821\pi\) |
−0.767780 | + | 0.640713i | \(0.778639\pi\) | |||||||
\(62\) | 1.07387 | − | 0.154400i | 0.136382 | − | 0.0196088i | ||||
\(63\) | −0.413917 | + | 0.358661i | −0.0521487 | + | 0.0451871i | ||||
\(64\) | −1.30210 | − | 0.836806i | −0.162762 | − | 0.104601i | ||||
\(65\) | −3.51381 | + | 4.31426i | −0.435834 | + | 0.535118i | ||||
\(66\) | 10.3241 | − | 3.03144i | 1.27081 | − | 0.373144i | ||||
\(67\) | 12.2593 | − | 5.59863i | 1.49771 | − | 0.683982i | 0.513034 | − | 0.858368i | \(-0.328522\pi\) |
0.984677 | + | 0.174387i | \(0.0557943\pi\) | |||||||
\(68\) | − | 3.71139i | − | 0.450072i | ||||||
\(69\) | −4.97866 | − | 6.45301i | −0.599361 | − | 0.776852i | ||||
\(70\) | 0.572612 | + | 18.7686i | 0.0684402 | + | 2.24327i | ||||
\(71\) | 0.908041 | + | 1.98833i | 0.107765 | + | 0.235972i | 0.955830 | − | 0.293920i | \(-0.0949599\pi\) |
−0.848065 | + | 0.529891i | \(0.822233\pi\) | |||||||
\(72\) | 0.0573088 | + | 0.195176i | 0.00675390 | + | 0.0230017i | ||||
\(73\) | −3.52676 | − | 3.05595i | −0.412776 | − | 0.357672i | 0.423580 | − | 0.905859i | \(-0.360773\pi\) |
−0.836356 | + | 0.548186i | \(0.815319\pi\) | |||||||
\(74\) | 10.6718 | + | 6.85838i | 1.24058 | + | 0.797271i | ||||
\(75\) | 6.07070 | − | 5.94571i | 0.700984 | − | 0.686552i | ||||
\(76\) | 0.405952 | + | 2.82346i | 0.0465659 | + | 0.323873i | ||||
\(77\) | −5.09718 | + | 17.3594i | −0.580877 | + | 1.97829i | ||||
\(78\) | −3.91933 | − | 6.09860i | −0.443777 | − | 0.690530i | ||||
\(79\) | −1.02519 | + | 7.13037i | −0.115343 | + | 0.802229i | 0.847234 | + | 0.531220i | \(0.178266\pi\) |
−0.962577 | + | 0.271009i | \(0.912643\pi\) | |||||||
\(80\) | 10.2991 | + | 4.32893i | 1.15148 | + | 0.483989i | ||||
\(81\) | −3.59420 | + | 7.87021i | −0.399356 | + | 0.874468i | ||||
\(82\) | −3.21467 | − | 0.462200i | −0.355001 | − | 0.0510415i | ||||
\(83\) | −5.15171 | − | 8.01621i | −0.565473 | − | 0.879893i | 0.434309 | − | 0.900764i | \(-0.356993\pi\) |
−0.999782 | + | 0.0208705i | \(0.993356\pi\) | |||||||
\(84\) | −7.49804 | − | 2.20162i | −0.818104 | − | 0.240217i | ||||
\(85\) | −1.52448 | − | 8.70854i | −0.165353 | − | 0.944574i | ||||
\(86\) | −2.47657 | − | 2.85811i | −0.267055 | − | 0.308198i | ||||
\(87\) | −4.77193 | + | 7.42527i | −0.511605 | + | 0.796073i | ||||
\(88\) | 5.07831 | + | 4.40038i | 0.541349 | + | 0.469082i | ||||
\(89\) | −5.44996 | + | 1.60025i | −0.577695 | + | 0.169627i | −0.557511 | − | 0.830170i | \(-0.688243\pi\) |
−0.0201842 | + | 0.999796i | \(0.506425\pi\) | |||||||
\(90\) | −0.189842 | − | 0.384235i | −0.0200111 | − | 0.0405019i | ||||
\(91\) | 12.1895 | 1.27780 | ||||||||
\(92\) | −1.51174 | + | 4.24038i | −0.157609 | + | 0.442090i | ||||
\(93\) | 1.07556i | 0.111530i | ||||||||
\(94\) | −3.66551 | − | 8.02635i | −0.378069 | − | 0.827855i | ||||
\(95\) | 2.11229 | + | 6.45831i | 0.216717 | + | 0.662609i | ||||
\(96\) | −5.48237 | + | 6.32699i | −0.559542 | + | 0.645746i | ||||
\(97\) | 2.18994 | − | 3.40761i | 0.222355 | − | 0.345990i | −0.712097 | − | 0.702081i | \(-0.752254\pi\) |
0.934451 | + | 0.356091i | \(0.115891\pi\) | |||||||
\(98\) | 22.0194 | − | 19.0799i | 2.22430 | − | 1.92737i | ||||
\(99\) | −0.0587674 | − | 0.408736i | −0.00590635 | − | 0.0410796i | ||||
\(100\) | −4.57556 | − | 1.04531i | −0.457556 | − | 0.104531i | ||||
\(101\) | −3.63513 | + | 2.33616i | −0.361709 | + | 0.232456i | −0.708854 | − | 0.705355i | \(-0.750788\pi\) |
0.347145 | + | 0.937812i | \(0.387151\pi\) | |||||||
\(102\) | 11.4015 | + | 1.63929i | 1.12892 | + | 0.162314i | ||||
\(103\) | −0.765283 | − | 0.349493i | −0.0754056 | − | 0.0344366i | 0.377355 | − | 0.926069i | \(-0.376834\pi\) |
−0.452761 | + | 0.891632i | \(0.649561\pi\) | |||||||
\(104\) | 1.88068 | − | 4.11811i | 0.184416 | − | 0.403814i | ||||
\(105\) | −18.4980 | − | 2.08610i | −1.80522 | − | 0.203583i | ||||
\(106\) | 5.66023 | − | 3.63761i | 0.549770 | − | 0.353316i | ||||
\(107\) | −2.42498 | + | 8.25871i | −0.234431 | + | 0.798400i | 0.755290 | + | 0.655391i | \(0.227496\pi\) |
−0.989721 | + | 0.143009i | \(0.954322\pi\) | |||||||
\(108\) | 4.91365 | − | 0.706477i | 0.472817 | − | 0.0679808i | ||||
\(109\) | −3.13162 | − | 3.61408i | −0.299955 | − | 0.346166i | 0.585685 | − | 0.810538i | \(-0.300825\pi\) |
−0.885640 | + | 0.464372i | \(0.846280\pi\) | |||||||
\(110\) | −12.1378 | − | 7.28732i | −1.15730 | − | 0.694818i | ||||
\(111\) | −8.23565 | + | 9.50445i | −0.781694 | + | 0.902123i | ||||
\(112\) | −6.89527 | − | 23.4831i | −0.651542 | − | 2.21895i | ||||
\(113\) | −3.38968 | + | 1.54802i | −0.318874 | + | 0.145625i | −0.568421 | − | 0.822738i | \(-0.692446\pi\) |
0.249547 | + | 0.968363i | \(0.419718\pi\) | |||||||
\(114\) | −8.85304 | −0.829163 | ||||||||
\(115\) | −1.80543 | + | 10.5707i | −0.168357 | + | 0.985726i | ||||
\(116\) | 4.87522 | 0.452653 | ||||||||
\(117\) | −0.253072 | + | 0.115574i | −0.0233965 | + | 0.0106848i | ||||
\(118\) | 0.629507 | + | 2.14391i | 0.0579509 | + | 0.197362i | ||||
\(119\) | −12.6834 | + | 14.6374i | −1.16268 | + | 1.34181i | ||||
\(120\) | −3.55878 | + | 5.92755i | −0.324871 | + | 0.541109i | ||||
\(121\) | −1.72943 | − | 1.99587i | −0.157221 | − | 0.181443i | ||||
\(122\) | −14.7413 | + | 2.11948i | −1.33462 | + | 0.191889i | ||||
\(123\) | 0.907096 | − | 3.08928i | 0.0817901 | − | 0.278551i | ||||
\(124\) | 0.499768 | − | 0.321181i | 0.0448805 | − | 0.0288429i | ||||
\(125\) | −11.1656 | − | 0.573308i | −0.998684 | − | 0.0512782i | ||||
\(126\) | −0.390027 | + | 0.854040i | −0.0347464 | + | 0.0760840i | ||||
\(127\) | 6.62881 | + | 3.02728i | 0.588212 | + | 0.268627i | 0.687208 | − | 0.726460i | \(-0.258836\pi\) |
−0.0989965 | + | 0.995088i | \(0.531563\pi\) | |||||||
\(128\) | −12.3783 | − | 1.77973i | −1.09410 | − | 0.157308i | ||||
\(129\) | 3.15402 | − | 2.02696i | 0.277696 | − | 0.178464i | ||||
\(130\) | −2.40693 | + | 9.22971i | −0.211102 | + | 0.809499i | ||||
\(131\) | −1.55066 | − | 10.7850i | −0.135481 | − | 0.942294i | −0.938239 | − | 0.345988i | \(-0.887544\pi\) |
0.802757 | − | 0.596306i | \(-0.203365\pi\) | |||||||
\(132\) | 4.45282 | − | 3.85839i | 0.387568 | − | 0.335830i | ||||
\(133\) | 8.04790 | − | 12.5228i | 0.697841 | − | 1.08586i | ||||
\(134\) | 15.1295 | − | 17.4604i | 1.30699 | − | 1.50835i | ||||
\(135\) | 11.2394 | − | 3.67601i | 0.967332 | − | 0.316381i | ||||
\(136\) | 2.98825 | + | 6.54335i | 0.256240 | + | 0.561087i | ||||
\(137\) | − | 5.42807i | − | 0.463751i | −0.972745 | − | 0.231876i | \(-0.925514\pi\) | ||
0.972745 | − | 0.231876i | \(-0.0744862\pi\) | |||||||
\(138\) | −12.3588 | − | 6.51703i | −1.05205 | − | 0.554766i | ||||
\(139\) | −10.6598 | −0.904153 | −0.452077 | − | 0.891979i | \(-0.649317\pi\) | ||||
−0.452077 | + | 0.891979i | \(0.649317\pi\) | |||||||
\(140\) | 4.55453 | + | 9.21824i | 0.384928 | + | 0.779084i | ||||
\(141\) | 8.39326 | − | 2.46448i | 0.706840 | − | 0.207547i | ||||
\(142\) | 2.83190 | + | 2.45385i | 0.237648 | + | 0.205923i | ||||
\(143\) | −4.96871 | + | 7.73147i | −0.415504 | + | 0.646538i | ||||
\(144\) | 0.365811 | + | 0.422169i | 0.0304843 | + | 0.0351807i | ||||
\(145\) | 11.4394 | − | 2.00253i | 0.949989 | − | 0.166301i | ||||
\(146\) | −7.67568 | − | 2.25378i | −0.635243 | − | 0.186524i | ||||
\(147\) | 15.6161 | + | 24.2992i | 1.28800 | + | 2.00416i | ||||
\(148\) | 6.87567 | + | 0.988572i | 0.565176 | + | 0.0812601i | ||||
\(149\) | −2.89949 | + | 6.34900i | −0.237536 | + | 0.520130i | −0.990431 | − | 0.138010i | \(-0.955929\pi\) |
0.752895 | + | 0.658140i | \(0.228657\pi\) | |||||||
\(150\) | 5.23220 | − | 13.5945i | 0.427207 | − | 1.10999i | ||||
\(151\) | 0.323676 | − | 2.25121i | 0.0263403 | − | 0.183201i | −0.972404 | − | 0.233305i | \(-0.925046\pi\) |
0.998744 | + | 0.0501035i | \(0.0159551\pi\) | |||||||
\(152\) | −2.98903 | − | 4.65102i | −0.242443 | − | 0.377248i | ||||
\(153\) | 0.124542 | − | 0.424152i | 0.0100686 | − | 0.0342906i | ||||
\(154\) | 4.41387 | + | 30.6992i | 0.355680 | + | 2.47381i | ||||
\(155\) | 1.04075 | − | 0.958914i | 0.0835947 | − | 0.0770218i | ||||
\(156\) | −3.33945 | − | 2.14614i | −0.267370 | − | 0.171828i | ||||
\(157\) | −12.9889 | − | 11.2550i | −1.03663 | − | 0.898245i | −0.0417321 | − | 0.999129i | \(-0.513288\pi\) |
−0.994898 | + | 0.100884i | \(0.967833\pi\) | |||||||
\(158\) | 3.47912 | + | 11.8488i | 0.276784 | + | 0.942638i | ||||
\(159\) | 2.77093 | + | 6.06749i | 0.219749 | + | 0.481183i | ||||
\(160\) | 11.0100 | − | 0.335907i | 0.870421 | − | 0.0265558i | ||||
\(161\) | 20.4533 | − | 11.5574i | 1.61195 | − | 0.910854i | ||||
\(162\) | 14.8319i | 1.16531i | ||||||||
\(163\) | 6.99231 | − | 3.19328i | 0.547680 | − | 0.250117i | −0.122304 | − | 0.992493i | \(-0.539028\pi\) |
0.669984 | + | 0.742376i | \(0.266301\pi\) | |||||||
\(164\) | −1.70634 | + | 0.501028i | −0.133243 | + | 0.0391237i | ||||
\(165\) | 8.86339 | − | 10.8825i | 0.690014 | − | 0.847200i | ||||
\(166\) | −13.7419 | − | 8.83137i | −1.06658 | − | 0.685447i | ||||
\(167\) | −8.81073 | + | 7.63454i | −0.681795 | + | 0.590778i | −0.925352 | − | 0.379108i | \(-0.876231\pi\) |
0.243558 | + | 0.969886i | \(0.421685\pi\) | |||||||
\(168\) | 14.9920 | − | 2.15553i | 1.15666 | − | 0.166303i | ||||
\(169\) | −6.53229 | − | 1.91805i | −0.502484 | − | 0.147543i | ||||
\(170\) | −8.57880 | − | 12.4940i | −0.657964 | − | 0.958247i | ||||
\(171\) | −0.0483523 | + | 0.336298i | −0.00369759 | + | 0.0257173i | ||||
\(172\) | −1.88370 | − | 0.860257i | −0.143631 | − | 0.0655940i | ||||
\(173\) | 16.7154 | + | 7.63366i | 1.27085 | + | 0.580376i | 0.932678 | − | 0.360709i | \(-0.117465\pi\) |
0.338168 | + | 0.941086i | \(0.390193\pi\) | |||||||
\(174\) | −2.15334 | + | 14.9768i | −0.163244 | + | 1.13539i | ||||
\(175\) | 14.4734 | + | 19.7592i | 1.09408 | + | 1.49366i | ||||
\(176\) | 17.7054 | + | 5.19879i | 1.33460 | + | 0.391873i | ||||
\(177\) | −2.19259 | + | 0.315247i | −0.164805 | + | 0.0236954i | ||||
\(178\) | −7.35879 | + | 6.37643i | −0.551565 | + | 0.477934i | ||||
\(179\) | 5.91576 | + | 3.80183i | 0.442165 | + | 0.284162i | 0.742720 | − | 0.669603i | \(-0.233536\pi\) |
−0.300555 | + | 0.953764i | \(0.597172\pi\) | |||||||
\(180\) | −0.181962 | − | 0.148201i | −0.0135626 | − | 0.0110463i | ||||
\(181\) | −20.2451 | + | 5.94450i | −1.50481 | + | 0.441851i | −0.927232 | − | 0.374487i | \(-0.877819\pi\) |
−0.577574 | + | 0.816338i | \(0.696001\pi\) | |||||||
\(182\) | 19.0076 | − | 8.68047i | 1.40894 | − | 0.643439i | ||||
\(183\) | − | 14.7644i | − | 1.09142i | ||||||
\(184\) | −0.748907 | − | 8.69316i | −0.0552102 | − | 0.640868i | ||||
\(185\) | 16.5394 | − | 0.504601i | 1.21600 | − | 0.0370990i | ||||
\(186\) | 0.765935 | + | 1.67716i | 0.0561611 | + | 0.122976i | ||||
\(187\) | −4.11409 | − | 14.0113i | −0.300852 | − | 1.02461i | ||||
\(188\) | −3.65153 | − | 3.16407i | −0.266316 | − | 0.230764i | ||||
\(189\) | −21.7933 | − | 14.0057i | −1.58523 | − | 1.01877i | ||||
\(190\) | 7.89295 | + | 8.56652i | 0.572615 | + | 0.621481i | ||||
\(191\) | −2.25679 | − | 15.6963i | −0.163295 | − | 1.13574i | −0.892368 | − | 0.451308i | \(-0.850958\pi\) |
0.729073 | − | 0.684436i | \(-0.239952\pi\) | |||||||
\(192\) | 0.741082 | − | 2.52389i | 0.0534830 | − | 0.182146i | ||||
\(193\) | 2.33343 | + | 3.63089i | 0.167964 | + | 0.261357i | 0.915024 | − | 0.403399i | \(-0.132171\pi\) |
−0.747060 | + | 0.664757i | \(0.768535\pi\) | |||||||
\(194\) | 0.988212 | − | 6.87317i | 0.0709495 | − | 0.493465i | ||||
\(195\) | −8.71735 | − | 3.66407i | −0.624262 | − | 0.262389i | ||||
\(196\) | 6.62759 | − | 14.5124i | 0.473399 | − | 1.03660i | ||||
\(197\) | 10.3748 | + | 1.49167i | 0.739173 | + | 0.106277i | 0.501608 | − | 0.865095i | \(-0.332742\pi\) |
0.237564 | + | 0.971372i | \(0.423651\pi\) | |||||||
\(198\) | −0.382712 | − | 0.595512i | −0.0271982 | − | 0.0423212i | ||||
\(199\) | 20.4018 | + | 5.99051i | 1.44625 | + | 0.424656i | 0.908299 | − | 0.418322i | \(-0.137382\pi\) |
0.537947 | + | 0.842978i | \(0.319200\pi\) | |||||||
\(200\) | 8.90855 | − | 1.84111i | 0.629930 | − | 0.130186i | ||||
\(201\) | 14.9990 | + | 17.3098i | 1.05795 | + | 1.22094i | ||||
\(202\) | −4.00478 | + | 6.23157i | −0.281776 | + | 0.438451i | ||||
\(203\) | −19.2274 | − | 16.6607i | −1.34950 | − | 1.16935i | ||||
\(204\) | 6.05190 | − | 1.77700i | 0.423718 | − | 0.124415i | ||||
\(205\) | −3.79803 | + | 1.87652i | −0.265266 | + | 0.131062i | ||||
\(206\) | −1.44223 | −0.100485 | ||||||||
\(207\) | −0.315060 | + | 0.433878i | −0.0218982 | + | 0.0301566i | ||||
\(208\) | − | 12.4324i | − | 0.862035i | ||||||
\(209\) | 4.66237 | + | 10.2092i | 0.322503 | + | 0.706182i | ||||
\(210\) | −30.3304 | + | 9.92002i | −2.09299 | + | 0.684547i | ||||
\(211\) | 11.4047 | − | 13.1617i | 0.785129 | − | 0.906087i | −0.212340 | − | 0.977196i | \(-0.568108\pi\) |
0.997469 | + | 0.0711088i | \(0.0226537\pi\) | |||||||
\(212\) | 1.99187 | − | 3.09941i | 0.136802 | − | 0.212868i | ||||
\(213\) | −2.80746 | + | 2.43268i | −0.192364 | + | 0.166685i | ||||
\(214\) | 2.09989 | + | 14.6051i | 0.143546 | + | 0.998383i | ||||
\(215\) | −4.77334 | − | 1.24480i | −0.325539 | − | 0.0848944i | ||||
\(216\) | −8.09416 | + | 5.20180i | −0.550738 | + | 0.353938i | ||||
\(217\) | −3.06865 | − | 0.441205i | −0.208314 | − | 0.0299510i | ||||
\(218\) | −7.45697 | − | 3.40548i | −0.505050 | − | 0.230648i | ||||
\(219\) | 3.29453 | − | 7.21401i | 0.222624 | − | 0.487478i | ||||
\(220\) | −7.70344 | − | 0.868751i | −0.519366 | − | 0.0585712i | ||||
\(221\) | −8.27666 | + | 5.31908i | −0.556748 | + | 0.357800i | ||||
\(222\) | −6.07384 | + | 20.6856i | −0.407649 | + | 1.38833i | ||||
\(223\) | −7.57323 | + | 1.08887i | −0.507141 | + | 0.0729159i | −0.391136 | − | 0.920333i | \(-0.627918\pi\) |
−0.116005 | + | 0.993249i | \(0.537009\pi\) | |||||||
\(224\) | −15.8025 | − | 18.2371i | −1.05585 | − | 1.21852i | ||||
\(225\) | −0.487835 | − | 0.273003i | −0.0325224 | − | 0.0182002i | ||||
\(226\) | −4.18330 | + | 4.82779i | −0.278269 | + | 0.321140i | ||||
\(227\) | −5.35371 | − | 18.2331i | −0.355338 | − | 1.21017i | −0.922316 | − | 0.386437i | \(-0.873706\pi\) |
0.566978 | − | 0.823733i | \(-0.308113\pi\) | |||||||
\(228\) | −4.40964 | + | 2.01382i | −0.292036 | + | 0.133368i | ||||
\(229\) | −0.322488 | −0.0213106 | −0.0106553 | − | 0.999943i | \(-0.503392\pi\) | ||||
−0.0106553 | + | 0.999943i | \(0.503392\pi\) | |||||||
\(230\) | 4.71244 | + | 17.7691i | 0.310729 | + | 1.17166i | ||||
\(231\) | −30.7472 | −2.02302 | ||||||||
\(232\) | −8.59522 | + | 3.92531i | −0.564304 | + | 0.257709i | ||||
\(233\) | 2.82529 | + | 9.62204i | 0.185091 | + | 0.630361i | 0.998795 | + | 0.0490817i | \(0.0156295\pi\) |
−0.813704 | + | 0.581279i | \(0.802552\pi\) | |||||||
\(234\) | −0.312323 | + | 0.360440i | −0.0204172 | + | 0.0235627i | ||||
\(235\) | −9.86775 | − | 5.92440i | −0.643701 | − | 0.386465i | ||||
\(236\) | 0.801231 | + | 0.924670i | 0.0521557 | + | 0.0601909i | ||||
\(237\) | −12.1178 | + | 1.74228i | −0.787138 | + | 0.113173i | ||||
\(238\) | −9.35405 | + | 31.8570i | −0.606333 | + | 2.06498i | ||||
\(239\) | 22.0940 | − | 14.1990i | 1.42914 | − | 0.918455i | 0.429260 | − | 0.903181i | \(-0.358774\pi\) |
0.999883 | − | 0.0152735i | \(-0.00486188\pi\) | |||||||
\(240\) | −2.12769 | + | 18.8668i | −0.137342 | + | 1.21784i | ||||
\(241\) | −5.36944 | + | 11.7574i | −0.345876 | + | 0.757362i | 0.654124 | + | 0.756388i | \(0.273038\pi\) |
−1.00000 | 0.000974718i | \(0.999690\pi\) | ||||||||
\(242\) | −4.11810 | − | 1.88067i | −0.264722 | − | 0.120894i | ||||
\(243\) | 1.14949 | + | 0.165271i | 0.0737397 | + | 0.0106022i | ||||
\(244\) | −6.86043 | + | 4.40893i | −0.439194 | + | 0.282253i | ||||
\(245\) | 9.59016 | − | 36.7747i | 0.612693 | − | 2.34945i | ||||
\(246\) | −0.785495 | − | 5.46323i | −0.0500813 | − | 0.348323i | ||||
\(247\) | 5.71470 | − | 4.95182i | 0.363618 | − | 0.315077i | ||||
\(248\) | −0.622512 | + | 0.968647i | −0.0395295 | + | 0.0615092i | ||||
\(249\) | 10.6048 | − | 12.2386i | 0.672055 | − | 0.775593i | ||||
\(250\) | −17.8194 | + | 7.05739i | −1.12699 | + | 0.446349i | ||||
\(251\) | 11.9644 | + | 26.1984i | 0.755186 | + | 1.65363i | 0.756816 | + | 0.653627i | \(0.226754\pi\) |
−0.00163066 | + | 0.999999i | \(0.500519\pi\) | |||||||
\(252\) | 0.514112i | 0.0323860i | ||||||||
\(253\) | −1.00665 | + | 17.6841i | −0.0632878 | + | 1.11179i | ||||
\(254\) | 12.4924 | 0.783844 | ||||||||
\(255\) | 13.4705 | − | 6.65547i | 0.843554 | − | 0.416782i | ||||
\(256\) | −17.5993 | + | 5.16761i | −1.09995 | + | 0.322976i | ||||
\(257\) | 18.7067 | + | 16.2094i | 1.16689 | + | 1.01112i | 0.999683 | + | 0.0251932i | \(0.00802008\pi\) |
0.167206 | + | 0.985922i | \(0.446525\pi\) | |||||||
\(258\) | 3.47475 | − | 5.40681i | 0.216328 | − | 0.336613i | ||||
\(259\) | −23.7386 | − | 27.3959i | −1.47505 | − | 1.70230i | ||||
\(260\) | 0.900619 | + | 5.14477i | 0.0558540 | + | 0.319065i | ||||
\(261\) | 0.557158 | + | 0.163596i | 0.0344872 | + | 0.0101264i | ||||
\(262\) | −10.0984 | − | 15.7134i | −0.623879 | − | 0.970774i | ||||
\(263\) | 25.8445 | + | 3.71588i | 1.59364 | + | 0.229131i | 0.881250 | − | 0.472650i | \(-0.156703\pi\) |
0.712392 | + | 0.701781i | \(0.247612\pi\) | |||||||
\(264\) | −4.74391 | + | 10.3877i | −0.291967 | + | 0.639320i | ||||
\(265\) | 3.40069 | − | 8.09074i | 0.208903 | − | 0.497010i | ||||
\(266\) | 3.63162 | − | 25.2585i | 0.222669 | − | 1.54870i | ||||
\(267\) | −5.21884 | − | 8.12067i | −0.319388 | − | 0.496977i | ||||
\(268\) | 3.56417 | − | 12.1385i | 0.217716 | − | 0.741474i | ||||
\(269\) | −1.87766 | − | 13.0594i | −0.114483 | − | 0.796245i | −0.963467 | − | 0.267827i | \(-0.913694\pi\) |
0.848984 | − | 0.528418i | \(-0.177215\pi\) | |||||||
\(270\) | 14.9083 | − | 13.7361i | 0.907290 | − | 0.835951i | ||||
\(271\) | 7.36619 | + | 4.73396i | 0.447464 | + | 0.287568i | 0.744903 | − | 0.667173i | \(-0.232496\pi\) |
−0.297438 | + | 0.954741i | \(0.596132\pi\) | |||||||
\(272\) | 14.9292 | + | 12.9362i | 0.905215 | + | 0.784373i | ||||
\(273\) | 5.83626 | + | 19.8765i | 0.353226 | + | 1.20298i | ||||
\(274\) | −3.86549 | − | 8.46424i | −0.233523 | − | 0.511343i | ||||
\(275\) | −18.4325 | + | 1.12576i | −1.11152 | + | 0.0678861i | ||||
\(276\) | −7.63830 | − | 0.434804i | −0.459772 | − | 0.0261721i | ||||
\(277\) | − | 19.9961i | − | 1.20145i | −0.799455 | − | 0.600726i | \(-0.794878\pi\) | ||
0.799455 | − | 0.600726i | \(-0.205122\pi\) | |||||||
\(278\) | −16.6223 | + | 7.59117i | −0.996941 | + | 0.455288i | ||||
\(279\) | 0.0678932 | − | 0.0199352i | 0.00406466 | − | 0.00119349i | ||||
\(280\) | −15.4519 | − | 12.5851i | −0.923431 | − | 0.752101i | ||||
\(281\) | 11.8975 | + | 7.64609i | 0.709748 | + | 0.456128i | 0.845057 | − | 0.534676i | \(-0.179566\pi\) |
−0.135309 | + | 0.990803i | \(0.543203\pi\) | |||||||
\(282\) | 11.3330 | − | 9.82007i | 0.674868 | − | 0.584777i | ||||
\(283\) | −28.6097 | + | 4.11346i | −1.70067 | + | 0.244520i | −0.923179 | − | 0.384371i | \(-0.874418\pi\) |
−0.777494 | + | 0.628891i | \(0.783509\pi\) | |||||||
\(284\) | 1.96873 | + | 0.578072i | 0.116823 | + | 0.0343023i | ||||
\(285\) | −9.51975 | + | 6.53658i | −0.563902 | + | 0.387193i | ||||
\(286\) | −2.24214 | + | 15.5944i | −0.132580 | + | 0.922116i | ||||
\(287\) | 8.44189 | + | 3.85528i | 0.498309 | + | 0.227570i | ||||
\(288\) | 0.500999 | + | 0.228798i | 0.0295216 | + | 0.0134821i | ||||
\(289\) | −0.194608 | + | 1.35353i | −0.0114476 | + | 0.0796195i | ||||
\(290\) | 16.4119 | − | 11.2690i | 0.963740 | − | 0.661736i | ||||
\(291\) | 6.60508 | + | 1.93943i | 0.387197 | + | 0.113691i | ||||
\(292\) | −4.33588 | + | 0.623405i | −0.253738 | + | 0.0364820i | ||||
\(293\) | 4.43425 | − | 3.84230i | 0.259051 | − | 0.224469i | −0.515646 | − | 0.856802i | \(-0.672448\pi\) |
0.774697 | + | 0.632333i | \(0.217902\pi\) | |||||||
\(294\) | 41.6551 | + | 26.7701i | 2.42938 | + | 1.56126i | ||||
\(295\) | 2.25985 | + | 1.84057i | 0.131574 | + | 0.107162i | ||||
\(296\) | −12.9181 | + | 3.79308i | −0.750846 | + | 0.220468i | ||||
\(297\) | 17.7670 | − | 8.11390i | 1.03094 | − | 0.470816i | ||||
\(298\) | 11.9651i | 0.693120i | ||||||||
\(299\) | 11.6229 | − | 2.70594i | 0.672171 | − | 0.156489i | ||||
\(300\) | −0.486251 | − | 7.96153i | −0.0280737 | − | 0.459659i | ||||
\(301\) | 4.48929 | + | 9.83017i | 0.258758 | + | 0.566601i | ||||
\(302\) | −1.09843 | − | 3.74092i | −0.0632077 | − | 0.215266i | ||||
\(303\) | −5.54989 | − | 4.80901i | −0.318833 | − | 0.276270i | ||||
\(304\) | −12.7724 | − | 8.20833i | −0.732548 | − | 0.470780i | ||||
\(305\) | −14.2866 | + | 13.1632i | −0.818046 | + | 0.753724i | ||||
\(306\) | −0.107847 | − | 0.750090i | −0.00616518 | − | 0.0428798i | ||||
\(307\) | −1.41724 | + | 4.82669i | −0.0808863 | + | 0.275473i | −0.989999 | − | 0.141078i | \(-0.954943\pi\) |
0.909112 | + | 0.416551i | \(0.136761\pi\) | |||||||
\(308\) | 9.18171 | + | 14.2870i | 0.523177 | + | 0.814079i | ||||
\(309\) | 0.203479 | − | 1.41523i | 0.0115755 | − | 0.0805095i | ||||
\(310\) | 0.940013 | − | 2.23643i | 0.0533891 | − | 0.127020i | ||||
\(311\) | 0.100707 | − | 0.220516i | 0.00571054 | − | 0.0125043i | −0.906755 | − | 0.421657i | \(-0.861449\pi\) |
0.912466 | + | 0.409153i | \(0.134176\pi\) | |||||||
\(312\) | 7.61557 | + | 1.09495i | 0.431147 | + | 0.0619896i | ||||
\(313\) | 3.64028 | + | 5.66438i | 0.205761 | + | 0.320170i | 0.928762 | − | 0.370677i | \(-0.120874\pi\) |
−0.723001 | + | 0.690847i | \(0.757238\pi\) | |||||||
\(314\) | −28.2693 | − | 8.30060i | −1.59533 | − | 0.468430i | ||||
\(315\) | 0.211175 | + | 1.20633i | 0.0118983 | + | 0.0679690i | ||||
\(316\) | 4.42819 | + | 5.11040i | 0.249105 | + | 0.287482i | ||||
\(317\) | −4.52222 | + | 7.03671i | −0.253993 | + | 0.395221i | −0.944711 | − | 0.327903i | \(-0.893658\pi\) |
0.690718 | + | 0.723124i | \(0.257294\pi\) | |||||||
\(318\) | 8.64168 | + | 7.48806i | 0.484601 | + | 0.419909i | ||||
\(319\) | 18.4050 | − | 5.40419i | 1.03048 | − | 0.302577i | ||||
\(320\) | −3.10292 | + | 1.53309i | −0.173459 | + | 0.0857021i | ||||
\(321\) | −14.6280 | −0.816453 | ||||||||
\(322\) | 23.6634 | − | 32.5875i | 1.31871 | − | 1.81603i | ||||
\(323\) | 12.0148i | 0.668523i | ||||||||
\(324\) | 3.37384 | + | 7.38768i | 0.187436 | + | 0.410427i | ||||
\(325\) | 4.22649 | + | 11.7019i | 0.234443 | + | 0.649106i | ||||
\(326\) | 8.62940 | − | 9.95886i | 0.477938 | − | 0.551570i | ||||
\(327\) | 4.39382 | − | 6.83691i | 0.242979 | − | 0.378082i | ||||
\(328\) | 2.60495 | − | 2.25721i | 0.143835 | − | 0.124633i | ||||
\(329\) | 3.58837 | + | 24.9576i | 0.197833 | + | 1.37596i | ||||
\(330\) | 6.07136 | − | 23.2814i | 0.334217 | − | 1.28160i | ||||
\(331\) | 15.7577 | − | 10.1268i | 0.866120 | − | 0.556622i | −0.0304436 | − | 0.999536i | \(-0.509692\pi\) |
0.896564 | + | 0.442915i | \(0.146056\pi\) | |||||||
\(332\) | −8.85362 | − | 1.27296i | −0.485906 | − | 0.0698627i | ||||
\(333\) | 0.752604 | + | 0.343703i | 0.0412424 | + | 0.0188348i | ||||
\(334\) | −8.30219 | + | 18.1793i | −0.454276 | + | 0.994725i | ||||
\(335\) | 3.37716 | − | 29.9461i | 0.184514 | − | 1.63613i | ||||
\(336\) | 34.9909 | − | 22.4873i | 1.90891 | − | 1.22678i | ||||
\(337\) | −9.74072 | + | 33.1739i | −0.530611 | + | 1.80709i | 0.0575392 | + | 0.998343i | \(0.481675\pi\) |
−0.588150 | + | 0.808752i | \(0.700144\pi\) | |||||||
\(338\) | −11.5520 | + | 1.66093i | −0.628346 | + | 0.0903426i | ||||
\(339\) | −4.14720 | − | 4.78613i | −0.225245 | − | 0.259947i | ||||
\(340\) | −7.11508 | − | 4.27175i | −0.385869 | − | 0.231668i | ||||
\(341\) | 1.53070 | − | 1.76652i | 0.0828921 | − | 0.0956626i | ||||
\(342\) | 0.164090 | + | 0.558838i | 0.00887295 | + | 0.0302185i | ||||
\(343\) | −44.5421 | + | 20.3417i | −2.40505 | + | 1.09835i | ||||
\(344\) | 4.01369 | 0.216403 | ||||||||
\(345\) | −18.1014 | + | 2.11724i | −0.974545 | + | 0.113988i | ||||
\(346\) | 31.5012 | 1.69352 | ||||||||
\(347\) | −14.7296 | + | 6.72676i | −0.790724 | + | 0.361112i | −0.769487 | − | 0.638663i | \(-0.779488\pi\) |
−0.0212374 | + | 0.999774i | \(0.506761\pi\) | |||||||
\(348\) | 2.33423 | + | 7.94967i | 0.125128 | + | 0.426147i | ||||
\(349\) | 15.0692 | − | 17.3908i | 0.806637 | − | 0.930909i | −0.192089 | − | 0.981378i | \(-0.561526\pi\) |
0.998726 | + | 0.0504689i | \(0.0160716\pi\) | |||||||
\(350\) | 36.6401 | + | 20.5045i | 1.95850 | + | 1.09601i | ||||
\(351\) | −8.61763 | − | 9.94527i | −0.459975 | − | 0.530839i | ||||
\(352\) | 18.0088 | − | 2.58927i | 0.959872 | − | 0.138009i | ||||
\(353\) | 9.33553 | − | 31.7939i | 0.496880 | − | 1.69222i | −0.204026 | − | 0.978965i | \(-0.565403\pi\) |
0.700906 | − | 0.713253i | \(-0.252779\pi\) | |||||||
\(354\) | −3.19451 | + | 2.05299i | −0.169786 | + | 0.109115i | ||||
\(355\) | 4.85695 | + | 0.547740i | 0.257780 | + | 0.0290710i | ||||
\(356\) | −2.21491 | + | 4.84998i | −0.117390 | + | 0.257048i | ||||
\(357\) | −29.9409 | − | 13.6736i | −1.58464 | − | 0.723681i | ||||
\(358\) | 11.9321 | + | 1.71558i | 0.630632 | + | 0.0906711i | ||||
\(359\) | −25.4861 | + | 16.3789i | −1.34510 | + | 0.864445i | −0.997322 | − | 0.0731307i | \(-0.976701\pi\) |
−0.347781 | + | 0.937576i | \(0.613065\pi\) | |||||||
\(360\) | 0.440131 | + | 0.114778i | 0.0231969 | + | 0.00604933i | ||||
\(361\) | 1.38980 | + | 9.66628i | 0.0731474 | + | 0.508752i | ||||
\(362\) | −27.3359 | + | 23.6867i | −1.43674 | + | 1.24494i | ||||
\(363\) | 2.42648 | − | 3.77568i | 0.127357 | − | 0.198172i | ||||
\(364\) | 7.49299 | − | 8.64737i | 0.392739 | − | 0.453245i | ||||
\(365\) | −9.91778 | + | 3.24377i | −0.519121 | + | 0.169786i | ||||
\(366\) | −10.5142 | − | 23.0228i | −0.549584 | − | 1.20342i | ||||
\(367\) | 2.43763i | 0.127243i | 0.997974 | + | 0.0636217i | \(0.0202651\pi\) | ||||
−0.997974 | + | 0.0636217i | \(0.979735\pi\) | |||||||
\(368\) | −11.7878 | − | 20.8610i | −0.614484 | − | 1.08746i | ||||
\(369\) | −0.211820 | −0.0110269 | ||||||||
\(370\) | 25.4313 | − | 12.5650i | 1.32211 | − | 0.653224i | ||||
\(371\) | −18.4477 | + | 5.41674i | −0.957759 | + | 0.281223i | ||||
\(372\) | 0.763014 | + | 0.661156i | 0.0395604 | + | 0.0342793i | ||||
\(373\) | 0.0491362 | − | 0.0764574i | 0.00254418 | − | 0.00395882i | −0.839979 | − | 0.542619i | \(-0.817433\pi\) |
0.842523 | + | 0.538660i | \(0.181069\pi\) | |||||||
\(374\) | −16.3932 | − | 18.9187i | −0.847670 | − | 0.978263i | ||||
\(375\) | −4.41120 | − | 18.4815i | −0.227794 | − | 0.954380i | ||||
\(376\) | 8.98538 | + | 2.63835i | 0.463386 | + | 0.136062i | ||||
\(377\) | −6.98705 | − | 10.8721i | −0.359852 | − | 0.559940i | ||||
\(378\) | −43.9572 | − | 6.32010i | −2.26092 | − | 0.325071i | ||||
\(379\) | −9.78549 | + | 21.4272i | −0.502647 | + | 1.10064i | 0.472953 | + | 0.881087i | \(0.343188\pi\) |
−0.975600 | + | 0.219555i | \(0.929539\pi\) | |||||||
\(380\) | 5.88007 | + | 2.47151i | 0.301641 | + | 0.126786i | ||||
\(381\) | −1.76252 | + | 12.2586i | −0.0902965 | + | 0.628026i | ||||
\(382\) | −14.6969 | − | 22.8688i | −0.751959 | − | 1.17007i | ||||
\(383\) | 3.10258 | − | 10.5664i | 0.158534 | − | 0.539918i | −0.841466 | − | 0.540311i | \(-0.818307\pi\) |
1.00000 | 0.000392360i | \(0.000124892\pi\) | ||||||||
\(384\) | −3.02460 | − | 21.0366i | −0.154349 | − | 1.07352i | ||||
\(385\) | 27.4128 | + | 29.7521i | 1.39708 | + | 1.51631i | ||||
\(386\) | 6.22430 | + | 4.00011i | 0.316808 | + | 0.203600i | ||||
\(387\) | −0.186409 | − | 0.161524i | −0.00947570 | − | 0.00821074i | ||||
\(388\) | −1.07123 | − | 3.64827i | −0.0543834 | − | 0.185213i | ||||
\(389\) | 9.55960 | + | 20.9326i | 0.484691 | + | 1.06132i | 0.981147 | + | 0.193263i | \(0.0619070\pi\) |
−0.496456 | + | 0.868062i | \(0.665366\pi\) | |||||||
\(390\) | −16.2027 | + | 0.494328i | −0.820453 | + | 0.0250313i | ||||
\(391\) | −8.84453 | + | 16.7727i | −0.447287 | + | 0.848231i | ||||
\(392\) | 30.9222i | 1.56181i | ||||||||
\(393\) | 16.8440 | − | 7.69238i | 0.849665 | − | 0.388029i | ||||
\(394\) | 17.2401 | − | 5.06216i | 0.868546 | − | 0.255028i | ||||
\(395\) | 12.4896 | + | 10.1723i | 0.628419 | + | 0.511825i | ||||
\(396\) | −0.326088 | − | 0.209564i | −0.0163866 | − | 0.0105310i | ||||
\(397\) | 8.27045 | − | 7.16639i | 0.415082 | − | 0.359671i | −0.422143 | − | 0.906529i | \(-0.638722\pi\) |
0.837225 | + | 0.546859i | \(0.184176\pi\) | |||||||
\(398\) | 36.0795 | − | 5.18745i | 1.80850 | − | 0.260023i | ||||
\(399\) | 24.2733 | + | 7.12728i | 1.21518 | + | 0.356810i | ||||
\(400\) | 20.1531 | − | 14.7619i | 1.00766 | − | 0.738094i | ||||
\(401\) | −1.73341 | + | 12.0561i | −0.0865624 | + | 0.602055i | 0.899655 | + | 0.436601i | \(0.143818\pi\) |
−0.986218 | + | 0.165454i | \(0.947091\pi\) | |||||||
\(402\) | 35.7154 | + | 16.3107i | 1.78132 | + | 0.813503i | ||||
\(403\) | −1.43251 | − | 0.654207i | −0.0713585 | − | 0.0325883i | ||||
\(404\) | −0.577252 | + | 4.01488i | −0.0287194 | + | 0.199748i | ||||
\(405\) | 10.9510 | + | 15.9489i | 0.544161 | + | 0.792507i | ||||
\(406\) | −41.8468 | − | 12.2873i | −2.07682 | − | 0.609809i | ||||
\(407\) | 27.0529 | − | 3.88963i | 1.34096 | − | 0.192802i | ||||
\(408\) | −9.23901 | + | 8.00565i | −0.457399 | + | 0.396339i | ||||
\(409\) | 3.94576 | + | 2.53578i | 0.195105 | + | 0.125386i | 0.634546 | − | 0.772885i | \(-0.281187\pi\) |
−0.439441 | + | 0.898271i | \(0.644823\pi\) | |||||||
\(410\) | −4.58611 | + | 5.63083i | −0.226492 | + | 0.278087i | ||||
\(411\) | 8.85116 | − | 2.59894i | 0.436596 | − | 0.128196i | ||||
\(412\) | −0.718363 | + | 0.328065i | −0.0353912 | + | 0.0161626i | ||||
\(413\) | − | 6.38496i | − | 0.314183i | ||||||
\(414\) | −0.182311 | + | 0.900929i | −0.00896009 | + | 0.0442783i | ||||
\(415\) | −21.2973 | + | 0.649762i | −1.04544 | + | 0.0318956i | ||||
\(416\) | −5.09215 | − | 11.1503i | −0.249663 | − | 0.546687i | ||||
\(417\) | −5.10387 | − | 17.3822i | −0.249938 | − | 0.851209i | ||||
\(418\) | 14.5405 | + | 12.5994i | 0.711198 | + | 0.616257i | ||||
\(419\) | −11.7886 | − | 7.57605i | −0.575909 | − | 0.370114i | 0.220028 | − | 0.975493i | \(-0.429385\pi\) |
−0.795937 | + | 0.605379i | \(0.793021\pi\) | |||||||
\(420\) | −12.8508 | + | 11.8404i | −0.627057 | + | 0.577752i | ||||
\(421\) | −3.70513 | − | 25.7698i | −0.180577 | − | 1.25594i | −0.855402 | − | 0.517964i | \(-0.826690\pi\) |
0.674825 | − | 0.737978i | \(-0.264219\pi\) | |||||||
\(422\) | 8.41099 | − | 28.6452i | 0.409441 | − | 1.39443i | ||||
\(423\) | −0.311135 | − | 0.484136i | −0.0151279 | − | 0.0235395i | ||||
\(424\) | −1.01625 | + | 7.06816i | −0.0493534 | + | 0.343260i | ||||
\(425\) | −18.4497 | − | 7.10083i | −0.894943 | − | 0.344441i | ||||
\(426\) | −2.64542 | + | 5.79267i | −0.128171 | + | 0.280656i | ||||
\(427\) | 42.1241 | + | 6.05653i | 2.03853 | + | 0.293096i | ||||
\(428\) | 4.36819 | + | 6.79703i | 0.211144 | + | 0.328547i | ||||
\(429\) | −14.9861 | − | 4.40033i | −0.723538 | − | 0.212450i | ||||
\(430\) | −8.32974 | + | 1.45817i | −0.401696 | + | 0.0703190i | ||||
\(431\) | −19.0788 | − | 22.0182i | −0.918995 | − | 1.06058i | −0.997969 | − | 0.0637006i | \(-0.979710\pi\) |
0.0789736 | − | 0.996877i | \(-0.474836\pi\) | |||||||
\(432\) | −14.2849 | + | 22.2278i | −0.687284 | + | 1.06943i | ||||
\(433\) | 21.7353 | + | 18.8338i | 1.04453 | + | 0.905093i | 0.995600 | − | 0.0937087i | \(-0.0298722\pi\) |
0.0489337 | + | 0.998802i | \(0.484418\pi\) | |||||||
\(434\) | −5.09928 | + | 1.49729i | −0.244773 | + | 0.0718720i | ||||
\(435\) | 8.74250 | + | 17.6946i | 0.419171 | + | 0.848391i | ||||
\(436\) | −4.48892 | −0.214980 | ||||||||
\(437\) | 4.89392 | − | 13.7273i | 0.234108 | − | 0.656666i | ||||
\(438\) | − | 13.5953i | − | 0.649607i | ||||||
\(439\) | −12.9019 | − | 28.2512i | −0.615773 | − | 1.34836i | −0.918554 | − | 0.395295i | \(-0.870642\pi\) |
0.302781 | − | 0.953060i | \(-0.402085\pi\) | |||||||
\(440\) | 14.2810 | − | 4.67081i | 0.680819 | − | 0.222672i | ||||
\(441\) | 1.24441 | − | 1.43613i | 0.0592578 | − | 0.0683872i | ||||
\(442\) | −9.11830 | + | 14.1883i | −0.433713 | + | 0.674871i | ||||
\(443\) | −22.5054 | + | 19.5010i | −1.06926 | + | 0.926521i | −0.997483 | − | 0.0708999i | \(-0.977413\pi\) |
−0.0717784 | + | 0.997421i | \(0.522867\pi\) | |||||||
\(444\) | 1.68005 | + | 11.6850i | 0.0797315 | + | 0.554545i | ||||
\(445\) | −3.20499 | + | 12.2899i | −0.151931 | + | 0.582599i | ||||
\(446\) | −11.0339 | + | 7.09104i | −0.522469 | + | 0.335770i | ||||
\(447\) | −11.7411 | − | 1.68812i | −0.555336 | − | 0.0798453i | ||||
\(448\) | 6.89688 | + | 3.14970i | 0.325847 | + | 0.148809i | ||||
\(449\) | −11.0443 | + | 24.1837i | −0.521215 | + | 1.14130i | 0.447763 | + | 0.894152i | \(0.352221\pi\) |
−0.968978 | + | 0.247149i | \(0.920506\pi\) | |||||||
\(450\) | −0.955118 | − | 0.0783037i | −0.0450247 | − | 0.00369127i | ||||
\(451\) | −5.88643 | + | 3.78298i | −0.277181 | + | 0.178133i | ||||
\(452\) | −0.985490 | + | 3.35627i | −0.0463536 | + | 0.157866i | ||||
\(453\) | 3.82587 | − | 0.550077i | 0.179755 | − | 0.0258449i | ||||
\(454\) | −21.3326 | − | 24.6191i | −1.00119 | − | 1.15543i | ||||
\(455\) | 14.0299 | − | 23.3683i | 0.657730 | − | 1.09552i | ||||
\(456\) | 6.15296 | − | 7.10089i | 0.288139 | − | 0.332530i | ||||
\(457\) | −0.708251 | − | 2.41208i | −0.0331306 | − | 0.112832i | 0.941268 | − | 0.337661i | \(-0.109636\pi\) |
−0.974398 | + | 0.224829i | \(0.927818\pi\) | |||||||
\(458\) | −0.502871 | + | 0.229653i | −0.0234976 | + | 0.0107310i | ||||
\(459\) | 20.9094 | 0.975965 | ||||||||
\(460\) | 6.38921 | + | 7.77874i | 0.297899 | + | 0.362686i | ||||
\(461\) | 12.4573 | 0.580193 | 0.290097 | − | 0.956997i | \(-0.406313\pi\) | ||||
0.290097 | + | 0.956997i | \(0.406313\pi\) | |||||||
\(462\) | −47.9456 | + | 21.8960i | −2.23063 | + | 1.01869i | ||||
\(463\) | −6.91749 | − | 23.5588i | −0.321483 | − | 1.09487i | −0.948740 | − | 0.316058i | \(-0.897641\pi\) |
0.627257 | − | 0.778812i | \(-0.284178\pi\) | |||||||
\(464\) | −16.9928 | + | 19.6107i | −0.788870 | + | 0.910405i | ||||
\(465\) | 2.06194 | + | 1.23795i | 0.0956200 | + | 0.0574084i | ||||
\(466\) | 11.2577 | + | 12.9921i | 0.521505 | + | 0.601849i | ||||
\(467\) | −17.7984 | + | 2.55902i | −0.823611 | + | 0.118417i | −0.541219 | − | 0.840882i | \(-0.682037\pi\) |
−0.282392 | + | 0.959299i | \(0.591128\pi\) | |||||||
\(468\) | −0.0735761 | + | 0.250577i | −0.00340106 | + | 0.0115829i | ||||
\(469\) | −55.5389 | + | 35.6927i | −2.56455 | + | 1.64814i | ||||
\(470\) | −19.6062 | − | 2.21108i | −0.904366 | − | 0.101989i | ||||
\(471\) | 12.1336 | − | 26.5690i | 0.559089 | − | 1.22423i | ||||
\(472\) | −2.15711 | − | 0.985118i | −0.0992890 | − | 0.0453438i | ||||
\(473\) | −8.06497 | − | 1.15957i | −0.370828 | − | 0.0533170i | ||||
\(474\) | −17.6552 | + | 11.3463i | −0.810929 | + | 0.521152i | ||||
\(475\) | 14.8124 | + | 3.38396i | 0.679639 | + | 0.155267i | ||||
\(476\) | 2.58737 | + | 17.9955i | 0.118592 | + | 0.824824i | ||||
\(477\) | 0.331645 | − | 0.287372i | 0.0151850 | − | 0.0131578i | ||||
\(478\) | 24.3407 | − | 37.8749i | 1.11332 | − | 1.73236i | ||||
\(479\) | −3.38973 | + | 3.91196i | −0.154881 | + | 0.178742i | −0.827887 | − | 0.560895i | \(-0.810457\pi\) |
0.673006 | + | 0.739637i | \(0.265003\pi\) | |||||||
\(480\) | 5.81930 | + | 17.7925i | 0.265614 | + | 0.812111i | ||||
\(481\) | −7.64947 | − | 16.7500i | −0.348786 | − | 0.763734i | ||||
\(482\) | 22.1576i | 1.00925i | ||||||||
\(483\) | 28.6389 | + | 27.8181i | 1.30311 | + | 1.26577i | ||||
\(484\) | −2.47900 | −0.112682 | ||||||||
\(485\) | −4.01212 | − | 8.12042i | −0.182181 | − | 0.368729i | ||||
\(486\) | 1.91014 | − | 0.560869i | 0.0866459 | − | 0.0254415i | ||||
\(487\) | −29.5371 | − | 25.5940i | −1.33845 | − | 1.15978i | −0.973484 | − | 0.228757i | \(-0.926534\pi\) |
−0.364970 | − | 0.931019i | \(-0.618921\pi\) | |||||||
\(488\) | 8.54536 | − | 13.2968i | 0.386830 | − | 0.601920i | ||||
\(489\) | 8.55494 | + | 9.87293i | 0.386868 | + | 0.446469i | ||||
\(490\) | −11.2340 | − | 64.1740i | −0.507500 | − | 2.89908i | ||||
\(491\) | −28.5287 | − | 8.37679i | −1.28748 | − | 0.378039i | −0.434828 | − | 0.900514i | \(-0.643191\pi\) |
−0.852655 | + | 0.522475i | \(0.825009\pi\) | |||||||
\(492\) | −1.63398 | − | 2.54252i | −0.0736655 | − | 0.114626i | ||||
\(493\) | 20.3256 | + | 2.92238i | 0.915420 | + | 0.131618i | ||||
\(494\) | 5.38486 | − | 11.7912i | 0.242276 | − | 0.530511i | ||||
\(495\) | −0.851225 | − | 0.357786i | −0.0382597 | − | 0.0160813i | ||||
\(496\) | −0.450001 | + | 3.12982i | −0.0202056 | + | 0.140533i | ||||
\(497\) | −5.78899 | − | 9.00785i | −0.259672 | − | 0.404057i | ||||
\(498\) | 7.82113 | − | 26.6363i | 0.350473 | − | 1.19360i | ||||
\(499\) | 2.19719 | + | 15.2818i | 0.0983597 | + | 0.684107i | 0.978021 | + | 0.208506i | \(0.0668602\pi\) |
−0.879661 | + | 0.475601i | \(0.842231\pi\) | |||||||
\(500\) | −7.27035 | + | 7.56864i | −0.325140 | + | 0.338480i | ||||
\(501\) | −16.6676 | − | 10.7116i | −0.744655 | − | 0.478561i | ||||
\(502\) | 37.3133 | + | 32.3321i | 1.66537 | + | 1.44305i | ||||
\(503\) | 6.65253 | + | 22.6564i | 0.296622 | + | 1.01020i | 0.964093 | + | 0.265565i | \(0.0855586\pi\) |
−0.667471 | + | 0.744636i | \(0.732623\pi\) | |||||||
\(504\) | −0.413940 | − | 0.906402i | −0.0184383 | − | 0.0403743i | ||||
\(505\) | 0.294650 | + | 9.65776i | 0.0131117 | + | 0.429765i | ||||
\(506\) | 11.0237 | + | 28.2925i | 0.490061 | + | 1.25776i | ||||
\(507\) | − | 11.5701i | − | 0.513846i | ||||||
\(508\) | 6.22240 | − | 2.84167i | 0.276074 | − | 0.126079i | ||||
\(509\) | 10.4932 | − | 3.08108i | 0.465102 | − | 0.136566i | −0.0407814 | − | 0.999168i | \(-0.512985\pi\) |
0.505884 | + | 0.862602i | \(0.331167\pi\) | |||||||
\(510\) | 16.2656 | − | 19.9709i | 0.720253 | − | 0.884327i | ||||
\(511\) | 19.2307 | + | 12.3588i | 0.850718 | + | 0.546723i | ||||
\(512\) | −4.86113 | + | 4.21220i | −0.214834 | + | 0.186155i | ||||
\(513\) | −15.9069 | + | 2.28706i | −0.702306 | + | 0.100976i | ||||
\(514\) | 40.7134 | + | 11.9545i | 1.79579 | + | 0.527291i | ||||
\(515\) | −1.55084 | + | 1.06486i | −0.0683381 | + | 0.0469232i | ||||
\(516\) | 0.500852 | − | 3.48350i | 0.0220488 | − | 0.153353i | ||||
\(517\) | −17.2927 | − | 7.89732i | −0.760533 | − | 0.347324i | ||||
\(518\) | −56.5262 | − | 25.8146i | −2.48362 | − | 1.13423i | ||||
\(519\) | −4.44441 | + | 30.9115i | −0.195088 | + | 1.35687i | ||||
\(520\) | −5.73016 | − | 8.34531i | −0.251284 | − | 0.365966i | ||||
\(521\) | 14.1418 | + | 4.15241i | 0.619563 | + | 0.181920i | 0.576427 | − | 0.817149i | \(-0.304447\pi\) |
0.0431368 | + | 0.999069i | \(0.486265\pi\) | |||||||
\(522\) | 0.985305 | − | 0.141665i | 0.0431256 | − | 0.00620053i | ||||
\(523\) | 12.6294 | − | 10.9435i | 0.552246 | − | 0.478524i | −0.333464 | − | 0.942763i | \(-0.608218\pi\) |
0.885710 | + | 0.464239i | \(0.153672\pi\) | |||||||
\(524\) | −8.60427 | − | 5.52963i | −0.375879 | − | 0.241563i | ||||
\(525\) | −25.2902 | + | 33.0613i | −1.10375 | + | 1.44291i | ||||
\(526\) | 42.9468 | − | 12.6103i | 1.87257 | − | 0.549836i | ||||
\(527\) | 2.27615 | − | 1.03948i | 0.0991505 | − | 0.0452805i | ||||
\(528\) | 31.3602i | 1.36478i | ||||||||
\(529\) | 16.9370 | − | 15.5607i | 0.736393 | − | 0.676554i | ||||
\(530\) | −0.458796 | − | 15.0380i | −0.0199288 | − | 0.653209i | ||||
\(531\) | 0.0605388 | + | 0.132562i | 0.00262716 | + | 0.00575268i | ||||
\(532\) | −3.93670 | − | 13.4072i | −0.170678 | − | 0.581275i | ||||
\(533\) | 3.56282 | + | 3.08720i | 0.154323 | + | 0.133722i | ||||
\(534\) | −13.9209 | − | 8.94645i | −0.602418 | − | 0.387151i | ||||
\(535\) | 13.0416 | + | 14.1545i | 0.563837 | + | 0.611954i | ||||
\(536\) | 3.48955 | + | 24.2703i | 0.150726 | + | 1.04832i | ||||
\(537\) | −3.36693 | + | 11.4667i | −0.145294 | + | 0.494825i | ||||
\(538\) | −12.2279 | − | 19.0270i | −0.527182 | − | 0.820312i | ||||
\(539\) | 8.93353 | − | 62.1341i | 0.384795 | − | 2.67630i | ||||
\(540\) | 4.30115 | − | 10.2331i | 0.185092 | − | 0.440361i | ||||
\(541\) | 10.3549 | − | 22.6741i | 0.445192 | − | 0.974835i | −0.545424 | − | 0.838161i | \(-0.683631\pi\) |
0.990616 | − | 0.136675i | \(-0.0436416\pi\) | |||||||
\(542\) | 14.8576 | + | 2.13621i | 0.638190 | + | 0.0917579i | ||||
\(543\) | −19.3865 | − | 30.1660i | −0.831956 | − | 1.29455i | ||||
\(544\) | 18.6880 | + | 5.48729i | 0.801242 | + | 0.235266i | ||||
\(545\) | −10.5330 | + | 1.84385i | −0.451182 | + | 0.0789819i | ||||
\(546\) | 23.2554 | + | 26.8381i | 0.995238 | + | 1.14857i | ||||
\(547\) | −9.88852 | + | 15.3868i | −0.422803 | + | 0.657894i | −0.985676 | − | 0.168649i | \(-0.946059\pi\) |
0.562874 | + | 0.826543i | \(0.309696\pi\) | |||||||
\(548\) | −3.85075 | − | 3.33669i | −0.164496 | − | 0.142536i | ||||
\(549\) | −0.931985 | + | 0.273655i | −0.0397762 | + | 0.0116793i | ||||
\(550\) | −27.9409 | + | 14.8818i | −1.19140 | + | 0.634560i | ||||
\(551\) | −15.7825 | −0.672355 | ||||||||
\(552\) | 13.8167 | − | 5.38344i | 0.588079 | − | 0.229134i | ||||
\(553\) | − | 35.2879i | − | 1.50060i | ||||||
\(554\) | −14.2398 | − | 31.1809i | −0.604993 | − | 1.32475i | ||||
\(555\) | 8.74179 | + | 26.7280i | 0.371069 | + | 1.13454i | ||||
\(556\) | −6.55270 | + | 7.56222i | −0.277896 | + | 0.320710i | ||||
\(557\) | 0.758885 | − | 1.18085i | 0.0321550 | − | 0.0500341i | −0.824804 | − | 0.565419i | \(-0.808715\pi\) |
0.856959 | + | 0.515385i | \(0.172351\pi\) | |||||||
\(558\) | 0.0916725 | − | 0.0794347i | 0.00388081 | − | 0.00336274i | ||||
\(559\) | 0.781245 | + | 5.43368i | 0.0330432 | + | 0.229820i | ||||
\(560\) | −52.9557 | − | 13.8098i | −2.23779 | − | 0.583572i | ||||
\(561\) | 20.8774 | − | 13.4171i | 0.881445 | − | 0.566470i | ||||
\(562\) | 23.9974 | + | 3.45031i | 1.01227 | + | 0.145542i | ||||
\(563\) | −0.0721537 | − | 0.0329515i | −0.00304092 | − | 0.00138874i | 0.413894 | − | 0.910325i | \(-0.364168\pi\) |
−0.416935 | + | 0.908936i | \(0.636896\pi\) | |||||||
\(564\) | 3.41109 | − | 7.46924i | 0.143633 | − | 0.314512i | ||||
\(565\) | −0.933781 | + | 8.28007i | −0.0392844 | + | 0.348345i | ||||
\(566\) | −41.6832 | + | 26.7882i | −1.75207 | + | 1.12599i | ||||
\(567\) | 11.9407 | − | 40.6662i | 0.501461 | − | 1.70782i | ||||
\(568\) | −3.93640 | + | 0.565969i | −0.165168 | + | 0.0237475i | ||||
\(569\) | 16.6189 | + | 19.1792i | 0.696699 | + | 0.804034i | 0.988303 | − | 0.152505i | \(-0.0487342\pi\) |
−0.291603 | + | 0.956539i | \(0.594189\pi\) | |||||||
\(570\) | −10.1897 | + | 16.9721i | −0.426800 | + | 0.710882i | ||||
\(571\) | 17.5815 | − | 20.2902i | 0.735764 | − | 0.849117i | −0.257344 | − | 0.966320i | \(-0.582847\pi\) |
0.993108 | + | 0.117203i | \(0.0373927\pi\) | |||||||
\(572\) | 2.43049 | + | 8.27749i | 0.101624 | + | 0.346099i | ||||
\(573\) | 24.5143 | − | 11.1953i | 1.02410 | − | 0.467690i | ||||
\(574\) | 15.9093 | 0.664041 | ||||||||
\(575\) | 18.1870 | + | 15.6279i | 0.758452 | + | 0.651729i | ||||
\(576\) | −0.173054 | −0.00721057 | ||||||||
\(577\) | 33.4687 | − | 15.2846i | 1.39332 | − | 0.636307i | 0.429549 | − | 0.903044i | \(-0.358673\pi\) |
0.963770 | + | 0.266736i | \(0.0859452\pi\) | |||||||
\(578\) | 0.660428 | + | 2.24921i | 0.0274702 | + | 0.0935548i | ||||
\(579\) | −4.80340 | + | 5.54342i | −0.199623 | + | 0.230377i | ||||
\(580\) | 5.61130 | − | 9.34624i | 0.232996 | − | 0.388081i | ||||
\(581\) | 30.5677 | + | 35.2770i | 1.26816 | + | 1.46353i | ||||
\(582\) | 11.6807 | − | 1.67944i | 0.484182 | − | 0.0696148i | ||||
\(583\) | 4.08403 | − | 13.9089i | 0.169143 | − | 0.576049i | ||||
\(584\) | 7.14240 | − | 4.59014i | 0.295555 | − | 0.189941i | ||||
\(585\) | −0.0697155 | + | 0.618185i | −0.00288238 | + | 0.0255588i | ||||
\(586\) | 4.17831 | − | 9.14923i | 0.172605 | − | 0.377951i | ||||
\(587\) | 0.246711 | + | 0.112669i | 0.0101828 | + | 0.00465035i | 0.420500 | − | 0.907293i | \(-0.361855\pi\) |
−0.410317 | + | 0.911943i | \(0.634582\pi\) | |||||||
\(588\) | 26.8376 | + | 3.85866i | 1.10676 | + | 0.159129i | ||||
\(589\) | −1.61789 | + | 1.03975i | −0.0666640 | + | 0.0428423i | ||||
\(590\) | 4.83461 | + | 1.26078i | 0.199038 | + | 0.0519054i | ||||
\(591\) | 2.53504 | + | 17.6316i | 0.104278 | + | 0.725268i | ||||
\(592\) | −27.9420 | + | 24.2119i | −1.14841 | + | 0.995102i | ||||
\(593\) | −21.0719 | + | 32.7885i | −0.865318 | + | 1.34646i | 0.0717891 | + | 0.997420i | \(0.477129\pi\) |
−0.937107 | + | 0.349042i | \(0.886507\pi\) | |||||||
\(594\) | 21.9267 | − | 25.3048i | 0.899663 | − | 1.03827i | ||||
\(595\) | 13.4629 | + | 41.1626i | 0.551924 | + | 1.68750i | ||||
\(596\) | 2.72172 | + | 5.95974i | 0.111486 | + | 0.244121i | ||||
\(597\) | 36.1360i | 1.47895i | ||||||||
\(598\) | 16.1972 | − | 12.4965i | 0.662352 | − | 0.511021i | ||||
\(599\) | 18.4484 | 0.753782 | 0.376891 | − | 0.926258i | \(-0.376993\pi\) | ||||
0.376891 | + | 0.926258i | \(0.376993\pi\) | |||||||
\(600\) | 7.26755 | + | 13.6450i | 0.296696 | + | 0.557056i | ||||
\(601\) | 3.87771 | − | 1.13860i | 0.158175 | − | 0.0464445i | −0.201686 | − | 0.979450i | \(-0.564642\pi\) |
0.359861 | + | 0.933006i | \(0.382824\pi\) | |||||||
\(602\) | 14.0007 | + | 12.1317i | 0.570626 | + | 0.494450i | ||||
\(603\) | 0.814654 | − | 1.26763i | 0.0331753 | − | 0.0516217i | ||||
\(604\) | −1.39808 | − | 1.61347i | −0.0568869 | − | 0.0656510i | ||||
\(605\) | −5.81681 | + | 1.01826i | −0.236487 | + | 0.0413983i | ||||
\(606\) | −12.0788 | − | 3.54667i | −0.490669 | − | 0.144074i | ||||
\(607\) | 21.9082 | + | 34.0898i | 0.889226 | + | 1.38366i | 0.923233 | + | 0.384241i | \(0.125537\pi\) |
−0.0340063 | + | 0.999422i | \(0.510827\pi\) | |||||||
\(608\) | −14.8172 | − | 2.13039i | −0.600916 | − | 0.0863987i | ||||
\(609\) | 17.9613 | − | 39.3298i | 0.727830 | − | 1.59373i | ||||
\(610\) | −12.9038 | + | 30.6999i | −0.522458 | + | 1.24300i | ||||
\(611\) | −1.82280 | + | 12.6778i | −0.0737426 | + | 0.512891i | ||||
\(612\) | −0.224342 | − | 0.349083i | −0.00906848 | − | 0.0141108i | ||||
\(613\) | 3.24532 | − | 11.0525i | 0.131077 | − | 0.446407i | −0.867632 | − | 0.497207i | \(-0.834359\pi\) |
0.998709 | + | 0.0507998i | \(0.0161770\pi\) | |||||||
\(614\) | 1.22725 | + | 8.53573i | 0.0495279 | + | 0.344474i | ||||
\(615\) | −4.87839 | − | 5.29470i | −0.196716 | − | 0.213503i | ||||
\(616\) | −27.6910 | − | 17.7959i | −1.11570 | − | 0.717019i | ||||
\(617\) | −6.99674 | − | 6.06271i | −0.281678 | − | 0.244075i | 0.502550 | − | 0.864548i | \(-0.332395\pi\) |
−0.784228 | + | 0.620473i | \(0.786941\pi\) | |||||||
\(618\) | −0.690531 | − | 2.35173i | −0.0277772 | − | 0.0946006i | ||||
\(619\) | −17.4006 | − | 38.1019i | −0.699388 | − | 1.53145i | −0.840712 | − | 0.541482i | \(-0.817863\pi\) |
0.141325 | − | 0.989963i | \(-0.454864\pi\) | |||||||
\(620\) | −0.0405092 | − | 1.32778i | −0.00162689 | − | 0.0533247i | ||||
\(621\) | −23.8896 | − | 8.51686i | −0.958656 | − | 0.341770i | ||||
\(622\) | − | 0.415578i | − | 0.0166631i | ||||||
\(623\) | 25.3098 | − | 11.5586i | 1.01402 | − | 0.463085i | ||||
\(624\) | 20.2727 | − | 5.95260i | 0.811557 | − | 0.238295i | ||||
\(625\) | −13.9505 | + | 20.7457i | −0.558022 | + | 0.829826i | ||||
\(626\) | 9.71023 | + | 6.24038i | 0.388099 | + | 0.249416i | ||||
\(627\) | −14.4150 | + | 12.4907i | −0.575681 | + | 0.498830i | ||||
\(628\) | −15.9689 | + | 2.29598i | −0.637228 | + | 0.0916196i | ||||
\(629\) | 28.0732 | + | 8.24305i | 1.11935 | + | 0.328672i | ||||
\(630\) | 1.18836 | + | 1.73070i | 0.0473453 | + | 0.0689529i | ||||
\(631\) | 0.971415 | − | 6.75634i | 0.0386714 | − | 0.268966i | −0.961307 | − | 0.275478i | \(-0.911164\pi\) |
0.999979 | + | 0.00651241i | \(0.00207298\pi\) | |||||||
\(632\) | −11.9218 | − | 5.44448i | −0.474222 | − | 0.216570i | ||||
\(633\) | 26.9223 | + | 12.2950i | 1.07007 | + | 0.488683i | ||||
\(634\) | −2.04066 | + | 14.1931i | −0.0810448 | + | 0.563679i | ||||
\(635\) | 13.4332 | − | 9.22369i | 0.533081 | − | 0.366031i | ||||
\(636\) | 6.00769 | + | 1.76402i | 0.238220 | + | 0.0699478i | ||||
\(637\) | −41.8621 | + | 6.01887i | −1.65864 | + | 0.238476i | ||||
\(638\) | 24.8513 | − | 21.5338i | 0.983871 | − | 0.852529i | ||||
\(639\) | 0.205596 | + | 0.132129i | 0.00813325 | + | 0.00522692i | ||||
\(640\) | −17.6592 | + | 21.6819i | −0.698039 | + | 0.857053i | ||||
\(641\) | −17.3119 | + | 5.08324i | −0.683780 | + | 0.200776i | −0.605130 | − | 0.796126i | \(-0.706879\pi\) |
−0.0786496 | + | 0.996902i | \(0.525061\pi\) | |||||||
\(642\) | −22.8100 | + | 10.4170i | −0.900241 | + | 0.411126i | ||||
\(643\) | − | 16.3419i | − | 0.644463i | −0.946661 | − | 0.322231i | \(-0.895567\pi\) | ||
0.946661 | − | 0.322231i | \(-0.104433\pi\) | |||||||
\(644\) | 4.37385 | − | 21.6144i | 0.172354 | − | 0.851725i | ||||
\(645\) | −0.255652 | − | 8.37954i | −0.0100663 | − | 0.329944i | ||||
\(646\) | 8.55611 | + | 18.7353i | 0.336636 | + | 0.737129i | ||||
\(647\) | 1.19243 | + | 4.06105i | 0.0468794 | + | 0.159657i | 0.979606 | − | 0.200928i | \(-0.0643956\pi\) |
−0.932727 | + | 0.360584i | \(0.882577\pi\) | |||||||
\(648\) | −11.8965 | − | 10.3083i | −0.467337 | − | 0.404950i | ||||
\(649\) | 4.04982 | + | 2.60266i | 0.158969 | + | 0.102163i | ||||
\(650\) | 14.9238 | + | 15.2376i | 0.585361 | + | 0.597666i | ||||
\(651\) | −0.749815 | − | 5.21508i | −0.0293876 | − | 0.204395i | ||||
\(652\) | 2.03289 | − | 6.92339i | 0.0796141 | − | 0.271141i | ||||
\(653\) | 15.5690 | + | 24.2259i | 0.609264 | + | 0.948033i | 0.999625 | + | 0.0273714i | \(0.00871367\pi\) |
−0.390361 | + | 0.920662i | \(0.627650\pi\) | |||||||
\(654\) | 1.98271 | − | 13.7901i | 0.0775303 | − | 0.539235i | ||||
\(655\) | −22.4607 | − | 9.44066i | −0.877612 | − | 0.368877i | ||||
\(656\) | 3.93214 | − | 8.61018i | 0.153524 | − | 0.336171i | ||||
\(657\) | −0.516440 | − | 0.0742528i | −0.0201482 | − | 0.00289688i | ||||
\(658\) | 23.3686 | + | 36.3622i | 0.911002 | + | 1.41755i | ||||
\(659\) | −12.4379 | − | 3.65210i | −0.484512 | − | 0.142265i | 0.0303490 | − | 0.999539i | \(-0.490338\pi\) |
−0.514861 | + | 0.857274i | \(0.672156\pi\) | |||||||
\(660\) | −2.27176 | − | 12.9774i | −0.0884282 | − | 0.505144i | ||||
\(661\) | −22.1042 | − | 25.5096i | −0.859753 | − | 0.992208i | −0.999998 | − | 0.00209106i | \(-0.999334\pi\) |
0.140245 | − | 0.990117i | \(-0.455211\pi\) | |||||||
\(662\) | 17.3600 | − | 27.0128i | 0.674717 | − | 1.04988i | ||||
\(663\) | −12.6363 | − | 10.9494i | −0.490752 | − | 0.425239i | ||||
\(664\) | 16.6343 | − | 4.88426i | 0.645534 | − | 0.189546i | ||||
\(665\) | −14.7443 | − | 29.8420i | −0.571759 | − | 1.15722i | ||||
\(666\) | 1.41833 | 0.0549592 | ||||||||
\(667\) | −22.0323 | − | 11.6180i | −0.853094 | − | 0.449851i | ||||
\(668\) | 10.9435i | 0.423416i | ||||||||
\(669\) | −5.40157 | − | 11.8278i | −0.208837 | − | 0.457288i | ||||
\(670\) | −16.0594 | − | 49.1013i | −0.620427 | − | 1.89695i | ||||
\(671\) | −21.0123 | + | 24.2495i | −0.811170 | + | 0.936140i | ||||
\(672\) | 22.1717 | − | 34.4999i | 0.855292 | − | 1.33086i | ||||
\(673\) | −33.6478 | + | 29.1559i | −1.29703 | + | 1.12388i | −0.312259 | + | 0.949997i | \(0.601086\pi\) |
−0.984766 | + | 0.173882i | \(0.944369\pi\) | |||||||
\(674\) | 8.43492 | + | 58.6662i | 0.324901 | + | 2.25974i | ||||
\(675\) | 5.88909 | − | 25.7779i | 0.226671 | − | 0.992194i | ||||
\(676\) | −5.37617 | + | 3.45505i | −0.206776 | + | 0.132887i | ||||
\(677\) | −47.2483 | − | 6.79328i | −1.81590 | − | 0.261087i | −0.851276 | − | 0.524718i | \(-0.824171\pi\) |
−0.964624 | + | 0.263631i | \(0.915080\pi\) | |||||||
\(678\) | −9.87527 | − | 4.50988i | −0.379257 | − | 0.173201i | ||||
\(679\) | −8.24283 | + | 18.0493i | −0.316331 | + | 0.692668i | ||||
\(680\) | 15.9836 | + | 1.80254i | 0.612944 | + | 0.0691244i | ||||
\(681\) | 27.1680 | − | 17.4598i | 1.04108 | − | 0.669061i | ||||
\(682\) | 1.12890 | − | 3.84468i | 0.0432278 | − | 0.147220i | ||||
\(683\) | −0.457895 | + | 0.0658353i | −0.0175209 | + | 0.00251912i | −0.151070 | − | 0.988523i | \(-0.548272\pi\) |
0.133549 | + | 0.991042i | \(0.457363\pi\) | |||||||
\(684\) | 0.208852 | + | 0.241028i | 0.00798565 | + | 0.00921593i | ||||
\(685\) | −10.4061 | − | 6.24762i | −0.397597 | − | 0.238709i | ||||
\(686\) | −54.9707 | + | 63.4395i | −2.09879 | + | 2.42213i | ||||
\(687\) | −0.154406 | − | 0.525858i | −0.00589096 | − | 0.0200628i | ||||
\(688\) | 10.0261 | − | 4.57878i | 0.382243 | − | 0.174564i | ||||
\(689\) | −9.76660 | −0.372078 | ||||||||
\(690\) | −26.7186 | + | 16.1920i | −1.01716 | + | 0.616420i | ||||
\(691\) | −2.98160 | −0.113425 | −0.0567127 | − | 0.998391i | \(-0.518062\pi\) | ||||
−0.0567127 | + | 0.998391i | \(0.518062\pi\) | |||||||
\(692\) | 15.6905 | − | 7.16563i | 0.596465 | − | 0.272397i | ||||
\(693\) | 0.569895 | + | 1.94088i | 0.0216485 | + | 0.0737280i | ||||
\(694\) | −18.1782 | + | 20.9787i | −0.690033 | + | 0.796341i | ||||
\(695\) | −12.2693 | + | 20.4358i | −0.465400 | + | 0.775175i | ||||
\(696\) | −10.5161 | − | 12.1362i | −0.398611 | − | 0.460021i | ||||
\(697\) | −7.41438 | + | 1.06603i | −0.280840 | + | 0.0403786i | ||||
\(698\) | 11.1136 | − | 37.8495i | 0.420657 | − | 1.43263i | ||||
\(699\) | −14.3372 | + | 9.21399i | −0.542284 | + | 0.348505i | ||||
\(700\) | 22.9144 | + | 1.87860i | 0.866083 | + | 0.0710043i | ||||
\(701\) | 8.71864 | − | 19.0912i | 0.329299 | − | 0.721063i | −0.670484 | − | 0.741924i | \(-0.733913\pi\) |
0.999782 | + | 0.0208608i | \(0.00664067\pi\) | |||||||
\(702\) | −20.5202 | − | 9.37126i | −0.774485 | − | 0.353695i | ||||
\(703\) | −22.2585 | − | 3.20028i | −0.839494 | − | 0.120701i | ||||
\(704\) | −4.80911 | + | 3.09063i | −0.181250 | + | 0.116482i | ||||
\(705\) | 4.93586 | − | 18.9272i | 0.185895 | − | 0.712840i | ||||
\(706\) | −8.08405 | − | 56.2258i | −0.304247 | − | 2.11609i | ||||
\(707\) | 15.9971 | − | 13.8616i | 0.601634 | − | 0.521319i | ||||
\(708\) | −1.12417 | + | 1.74924i | −0.0422488 | + | 0.0657404i | ||||
\(709\) | 14.3591 | − | 16.5713i | 0.539267 | − | 0.622347i | −0.419082 | − | 0.907949i | \(-0.637648\pi\) |
0.958349 | + | 0.285601i | \(0.0921933\pi\) | |||||||
\(710\) | 7.96373 | − | 2.60466i | 0.298874 | − | 0.0977512i | ||||
\(711\) | 0.334581 | + | 0.732631i | 0.0125478 | + | 0.0274758i | ||||
\(712\) | − | 10.3341i | − | 0.387285i | ||||||
\(713\) | −3.02397 | + | 0.260512i | −0.113249 | + | 0.00975626i | ||||
\(714\) | −56.4256 | −2.11167 | ||||||||
\(715\) | 9.10302 | + | 18.4243i | 0.340434 | + | 0.689028i | ||||
\(716\) | 6.33355 | − | 1.85970i | 0.236696 | − | 0.0695002i | ||||
\(717\) | 33.7318 | + | 29.2287i | 1.25974 | + | 1.09157i | ||||
\(718\) | −28.0777 | + | 43.6898i | −1.04785 | + | 1.63049i | ||||
\(719\) | −10.6802 | − | 12.3256i | −0.398304 | − | 0.459668i | 0.520802 | − | 0.853678i | \(-0.325633\pi\) |
−0.919106 | + | 0.394010i | \(0.871088\pi\) | |||||||
\(720\) | 1.23038 | − | 0.215384i | 0.0458535 | − | 0.00802690i | ||||
\(721\) | 3.95430 | + | 1.16109i | 0.147266 | + | 0.0432411i | ||||
\(722\) | 9.05083 | + | 14.0834i | 0.336837 | + | 0.524128i | ||||
\(723\) | −21.7429 | − | 3.12615i | −0.808625 | − | 0.116263i | ||||
\(724\) | −8.22777 | + | 18.0163i | −0.305783 | + | 0.669571i | ||||
\(725\) | 9.32752 | − | 24.2352i | 0.346415 | − | 0.900073i | ||||
\(726\) | 1.09495 | − | 7.61555i | 0.0406374 | − | 0.282640i | ||||
\(727\) | 12.9829 | + | 20.2017i | 0.481508 | + | 0.749240i | 0.993992 | − | 0.109456i | \(-0.0349110\pi\) |
−0.512484 | + | 0.858697i | \(0.671275\pi\) | |||||||
\(728\) | −6.24799 | + | 21.2787i | −0.231566 | + | 0.788641i | ||||
\(729\) | 3.97483 | + | 27.6456i | 0.147216 | + | 1.02391i | ||||
\(730\) | −13.1553 | + | 12.1209i | −0.486899 | + | 0.448615i | ||||
\(731\) | −7.33780 | − | 4.71572i | −0.271398 | − | 0.174417i | ||||
\(732\) | −10.4741 | − | 9.07583i | −0.387133 | − | 0.335452i | ||||
\(733\) | −10.8522 | − | 36.9593i | −0.400836 | − | 1.36512i | −0.874760 | − | 0.484556i | \(-0.838981\pi\) |
0.473925 | − | 0.880565i | \(-0.342837\pi\) | |||||||
\(734\) | 1.73591 | + | 3.80111i | 0.0640736 | + | 0.140302i | ||||
\(735\) | 64.5576 | − | 1.96960i | 2.38124 | − | 0.0726496i | ||||
\(736\) | −19.1165 | − | 13.8815i | −0.704644 | − | 0.511677i | ||||
\(737\) | − | 49.7762i | − | 1.83353i | ||||||
\(738\) | −0.330301 | + | 0.150844i | −0.0121586 | + | 0.00555263i | ||||
\(739\) | 6.26399 | − | 1.83927i | 0.230425 | − | 0.0676588i | −0.164482 | − | 0.986380i | \(-0.552595\pi\) |
0.394906 | + | 0.918721i | \(0.370777\pi\) | |||||||
\(740\) | 9.80896 | − | 12.0434i | 0.360584 | − | 0.442726i | ||||
\(741\) | 10.8107 | + | 6.94764i | 0.397143 | + | 0.255228i | ||||
\(742\) | −24.9090 | + | 21.5838i | −0.914438 | + | 0.792365i | ||||
\(743\) | 15.3158 | − | 2.20207i | 0.561881 | − | 0.0807863i | 0.144478 | − | 0.989508i | \(-0.453850\pi\) |
0.417403 | + | 0.908722i | \(0.362941\pi\) | |||||||
\(744\) | −1.87756 | − | 0.551301i | −0.0688347 | − | 0.0202117i | ||||
\(745\) | 8.83435 | + | 12.8662i | 0.323665 | + | 0.471381i | ||||
\(746\) | 0.0221728 | − | 0.154215i | 0.000811802 | − | 0.00564621i | ||||
\(747\) | −0.969109 | − | 0.442577i | −0.0354578 | − | 0.0161931i | ||||
\(748\) | −12.4688 | − | 5.69431i | −0.455904 | − | 0.208204i | ||||
\(749\) | 6.00056 | − | 41.7348i | 0.219256 | − | 1.52496i | ||||
\(750\) | −20.0398 | − | 25.6777i | −0.731750 | − | 0.937617i | ||||
\(751\) | 34.0555 | + | 9.99961i | 1.24270 | + | 0.364891i | 0.836031 | − | 0.548683i | \(-0.184870\pi\) |
0.406674 | + | 0.913573i | \(0.366689\pi\) | |||||||
\(752\) | 25.4552 | − | 3.65990i | 0.928254 | − | 0.133463i | ||||
\(753\) | −36.9913 | + | 32.0531i | −1.34804 | + | 1.16808i | ||||
\(754\) | −18.6376 | − | 11.9776i | −0.678740 | − | 0.436200i | ||||
\(755\) | −3.94324 | − | 3.21162i | −0.143509 | − | 0.116883i | ||||
\(756\) | −23.3325 | + | 6.85103i | −0.848593 | + | 0.249169i | ||||
\(757\) | −16.8806 | + | 7.70911i | −0.613536 | + | 0.280192i | −0.697847 | − | 0.716247i | \(-0.745858\pi\) |
0.0843110 | + | 0.996439i | \(0.473131\pi\) | |||||||
\(758\) | 40.3810i | 1.46670i | ||||||||
\(759\) | −29.3182 | + | 6.82560i | −1.06418 | + | 0.247753i | ||||
\(760\) | −12.3568 | + | 0.376994i | −0.448227 | + | 0.0136750i | ||||
\(761\) | −12.5769 | − | 27.5396i | −0.455912 | − | 0.998309i | −0.988400 | − | 0.151871i | \(-0.951470\pi\) |
0.532488 | − | 0.846438i | \(-0.321257\pi\) | |||||||
\(762\) | 5.98132 | + | 20.3705i | 0.216680 | + | 0.737945i | ||||
\(763\) | 17.7039 | + | 15.3405i | 0.640924 | + | 0.555364i | ||||
\(764\) | −12.5224 | − | 8.04769i | −0.453046 | − | 0.291155i | ||||
\(765\) | −0.669792 | − | 0.726951i | −0.0242164 | − | 0.0262830i | ||||
\(766\) | −2.68666 | − | 18.6861i | −0.0970730 | − | 0.675157i | ||||
\(767\) | 0.913771 | − | 3.11202i | 0.0329943 | − | 0.112368i | ||||
\(768\) | −16.8529 | − | 26.2236i | −0.608127 | − | 0.946264i | ||||
\(769\) | −2.84679 | + | 19.7999i | −0.102658 | + | 0.714002i | 0.871870 | + | 0.489737i | \(0.162907\pi\) |
−0.974528 | + | 0.224265i | \(0.928002\pi\) | |||||||
\(770\) | 63.9334 | + | 26.8724i | 2.30400 | + | 0.968415i | ||||
\(771\) | −17.4749 | + | 38.2646i | −0.629342 | + | 1.37807i | ||||
\(772\) | 4.01020 | + | 0.576579i | 0.144330 | + | 0.0207515i | ||||
\(773\) | 14.0632 | + | 21.8828i | 0.505819 | + | 0.787069i | 0.996440 | − | 0.0843036i | \(-0.0268666\pi\) |
−0.490621 | + | 0.871373i | \(0.663230\pi\) | |||||||
\(774\) | −0.405702 | − | 0.119125i | −0.0145827 | − | 0.00428186i | ||||
\(775\) | −0.640444 | − | 3.09890i | −0.0230054 | − | 0.111316i | ||||
\(776\) | 4.82605 | + | 5.56955i | 0.173245 | + | 0.199935i | ||||
\(777\) | 33.3065 | − | 51.8259i | 1.19486 | − | 1.85924i | ||||
\(778\) | 29.8134 | + | 25.8335i | 1.06886 | + | 0.926176i | ||||
\(779\) | 5.52392 | − | 1.62197i | 0.197915 | − | 0.0581131i | ||||
\(780\) | −7.95799 | + | 3.93187i | −0.284942 | + | 0.140783i | ||||
\(781\) | 8.07318 | 0.288881 | ||||||||
\(782\) | −1.84735 | + | 32.4529i | −0.0660612 | + | 1.16051i | ||||
\(783\) | 27.4662i | 0.981560i | ||||||||
\(784\) | 35.2758 | + | 77.2432i | 1.25985 | + | 2.75869i | ||||
\(785\) | −36.5269 | + | 11.9467i | −1.30370 | + | 0.426395i | ||||
\(786\) | 20.7876 | − | 23.9902i | 0.741469 | − | 0.855701i | ||||
\(787\) | −11.9313 | + | 18.5655i | −0.425305 | + | 0.661788i | −0.986097 | − | 0.166169i | \(-0.946860\pi\) |
0.560792 | + | 0.827957i | \(0.310497\pi\) | |||||||
\(788\) | 7.43570 | − | 6.44307i | 0.264886 | − | 0.229525i | ||||
\(789\) | 6.31503 | + | 43.9220i | 0.224821 | + | 1.56366i | ||||
\(790\) | 26.7196 | + | 6.96797i | 0.950640 | + | 0.247909i | ||||
\(791\) | 15.3565 | − | 9.86900i | 0.546013 | − | 0.350901i | ||||
\(792\) | 0.743640 | + | 0.106919i | 0.0264241 | + | 0.00379921i | ||||
\(793\) | 19.6644 | + | 8.98044i | 0.698304 | + | 0.318905i | ||||
\(794\) | 7.79310 | − | 17.0645i | 0.276567 | − | 0.605597i | ||||
\(795\) | 14.8212 | + | 1.67146i | 0.525655 | + | 0.0592805i | ||||
\(796\) | 16.7910 | − | 10.7909i | 0.595140 | − | 0.382473i | ||||
\(797\) | −1.29373 | + | 4.40603i | −0.0458262 | + | 0.156070i | −0.979228 | − | 0.202764i | \(-0.935007\pi\) |
0.933401 | + | 0.358834i | \(0.116826\pi\) | |||||||
\(798\) | 42.9260 | − | 6.17183i | 1.51956 | − | 0.218480i | ||||
\(799\) | −13.3272 | − | 15.3804i | −0.471483 | − | 0.544120i | ||||
\(800\) | 12.0284 | − | 21.4939i | 0.425269 | − | 0.759924i | ||||
\(801\) | −0.415878 | + | 0.479948i | −0.0146943 | + | 0.0169581i | ||||
\(802\) | 5.88255 | + | 20.0341i | 0.207720 | + | 0.707429i | ||||
\(803\) | −15.6778 | + | 7.15982i | −0.553258 | + | 0.252664i | ||||
\(804\) | 21.4998 | 0.758240 | ||||||||
\(805\) | 1.38474 | − | 52.5133i | 0.0488056 | − | 1.85085i | ||||
\(806\) | −2.69966 | −0.0950916 | ||||||||
\(807\) | 20.3960 | − | 9.31454i | 0.717973 | − | 0.327887i | ||||
\(808\) | −2.21488 | − | 7.54318i | −0.0779191 | − | 0.265368i | ||||
\(809\) | −28.5753 | + | 32.9777i | −1.00465 | + | 1.15943i | −0.0174709 | + | 0.999847i | \(0.505561\pi\) |
−0.987184 | + | 0.159586i | \(0.948984\pi\) | |||||||
\(810\) | 28.4341 | + | 17.0713i | 0.999074 | + | 0.599824i | ||||
\(811\) | 27.7610 | + | 32.0379i | 0.974821 | + | 1.12500i | 0.992137 | + | 0.125153i | \(0.0399422\pi\) |
−0.0173167 | + | 0.999850i | \(0.505512\pi\) | |||||||
\(812\) | −23.6386 | + | 3.39872i | −0.829553 | + | 0.119272i | ||||
\(813\) | −4.19243 | + | 14.2781i | −0.147035 | + | 0.500756i | ||||
\(814\) | 39.4150 | − | 25.3305i | 1.38149 | − | 0.887833i | ||||
\(815\) | 1.92622 | − | 17.0803i | 0.0674726 | − | 0.598297i | ||||
\(816\) | −13.9461 | + | 30.5378i | −0.488212 | + | 1.06904i | ||||
\(817\) | 6.09807 | + | 2.78489i | 0.213344 | + | 0.0974311i | ||||
\(818\) | 7.95861 | + | 1.14428i | 0.278266 | + | 0.0400086i | ||||
\(819\) | 1.14650 | − | 0.736814i | 0.0400621 | − | 0.0257464i | ||||
\(820\) | −1.00346 | + | 3.84789i | −0.0350423 | + | 0.134374i | ||||
\(821\) | −7.38321 | − | 51.3513i | −0.257676 | − | 1.79217i | −0.549284 | − | 0.835636i | \(-0.685099\pi\) |
0.291608 | − | 0.956538i | \(-0.405810\pi\) | |||||||
\(822\) | 11.9512 | − | 10.3558i | 0.416848 | − | 0.361200i | ||||
\(823\) | −3.19344 | + | 4.96909i | −0.111316 | + | 0.173212i | −0.892442 | − | 0.451162i | \(-0.851010\pi\) |
0.781125 | + | 0.624374i | \(0.214646\pi\) | |||||||
\(824\) | 1.00236 | − | 1.15679i | 0.0349189 | − | 0.0402986i | ||||
\(825\) | −10.6611 | − | 29.5175i | −0.371171 | − | 1.02767i | ||||
\(826\) | −4.54692 | − | 9.95636i | −0.158207 | − | 0.346426i | ||||
\(827\) | − | 16.0455i | − | 0.557956i | −0.960297 | − | 0.278978i | \(-0.910004\pi\) | ||
0.960297 | − | 0.278978i | \(-0.0899957\pi\) | |||||||
\(828\) | 0.114128 | + | 0.490218i | 0.00396622 | + | 0.0170362i | ||||
\(829\) | −11.4920 | −0.399132 | −0.199566 | − | 0.979884i | \(-0.563953\pi\) | ||||
−0.199566 | + | 0.979884i | \(0.563953\pi\) | |||||||
\(830\) | −32.7472 | + | 16.1797i | −1.13667 | + | 0.561604i | ||||
\(831\) | 32.6063 | − | 9.57407i | 1.13110 | − | 0.332121i | ||||
\(832\) | 2.91077 | + | 2.52219i | 0.100913 | + | 0.0874413i | ||||
\(833\) | 36.3308 | − | 56.5318i | 1.25879 | − | 1.95871i | ||||
\(834\) | −20.3371 | − | 23.4702i | −0.704215 | − | 0.812708i | ||||
\(835\) | 4.49510 | + | 25.6782i | 0.155559 | + | 0.888631i | ||||
\(836\) | 10.1085 | + | 2.96813i | 0.349611 | + | 0.102655i | ||||
\(837\) | 1.80948 | + | 2.81561i | 0.0625448 | + | 0.0973216i | ||||
\(838\) | −23.7776 | − | 3.41870i | −0.821383 | − | 0.118097i | ||||
\(839\) | −5.21913 | + | 11.4283i | −0.180184 | + | 0.394549i | −0.978075 | − | 0.208254i | \(-0.933222\pi\) |
0.797890 | + | 0.602802i | \(0.205949\pi\) | |||||||
\(840\) | 13.1232 | − | 31.2221i | 0.452795 | − | 1.07726i | ||||
\(841\) | 0.288339 | − | 2.00544i | 0.00994272 | − | 0.0691532i | ||||
\(842\) | −24.1290 | − | 37.5455i | −0.831541 | − | 1.29390i | ||||
\(843\) | −6.77144 | + | 23.0614i | −0.233221 | + | 0.794277i | ||||
\(844\) | −2.32651 | − | 16.1813i | −0.0800819 | − | 0.556982i | ||||
\(845\) | −11.1956 | + | 10.3153i | −0.385142 | + | 0.354859i | ||||
\(846\) | −0.829935 | − | 0.533367i | −0.0285338 | − | 0.0183375i | ||||
\(847\) | 9.77695 | + | 8.47178i | 0.335940 | + | 0.291094i | ||||
\(848\) | 5.52473 | + | 18.8155i | 0.189720 | + | 0.646126i | ||||
\(849\) | −20.4057 | − | 44.6823i | −0.700323 | − | 1.53349i | ||||
\(850\) | −33.8262 | + | 2.06594i | −1.16023 | + | 0.0708611i | ||||
\(851\) | −28.7170 | − | 20.8528i | −0.984405 | − | 0.714826i | ||||
\(852\) | 3.48705i | 0.119464i | ||||||||
\(853\) | −16.0062 | + | 7.30978i | −0.548042 | + | 0.250282i | −0.670139 | − | 0.742236i | \(-0.733765\pi\) |
0.122097 | + | 0.992518i | \(0.461038\pi\) | |||||||
\(854\) | 69.9990 | − | 20.5536i | 2.39532 | − | 0.703329i | ||||
\(855\) | 0.589061 | + | 0.479769i | 0.0201455 | + | 0.0164078i | ||||
\(856\) | −13.1740 | − | 8.46640i | −0.450277 | − | 0.289375i | ||||
\(857\) | 16.3730 | − | 14.1872i | 0.559290 | − | 0.484627i | −0.328736 | − | 0.944422i | \(-0.606623\pi\) |
0.888025 | + | 0.459795i | \(0.152077\pi\) | |||||||
\(858\) | −26.5022 | + | 3.81044i | −0.904770 | + | 0.130086i | ||||
\(859\) | 10.8467 | + | 3.18487i | 0.370084 | + | 0.108666i | 0.461486 | − | 0.887148i | \(-0.347317\pi\) |
−0.0914020 | + | 0.995814i | \(0.529135\pi\) | |||||||
\(860\) | −3.81730 | + | 2.62108i | −0.130169 | + | 0.0893782i | ||||
\(861\) | −2.24459 | + | 15.6115i | −0.0764955 | + | 0.532038i | ||||
\(862\) | −45.4303 | − | 20.7473i | −1.54736 | − | 0.706657i | ||||
\(863\) | −9.72132 | − | 4.43958i | −0.330918 | − | 0.151125i | 0.243026 | − | 0.970020i | \(-0.421860\pi\) |
−0.573944 | + | 0.818895i | \(0.694587\pi\) | |||||||
\(864\) | −3.70751 | + | 25.7863i | −0.126132 | + | 0.877267i | ||||
\(865\) | 33.8735 | − | 23.2587i | 1.15173 | − | 0.790819i | ||||
\(866\) | 47.3050 | + | 13.8900i | 1.60749 | + | 0.472001i | ||||
\(867\) | −2.30028 | + | 0.330731i | −0.0781217 | + | 0.0112322i | ||||
\(868\) | −2.19933 | + | 1.90573i | −0.0746501 | + | 0.0646847i | ||||
\(869\) | 22.3822 | + | 14.3842i | 0.759266 | + | 0.487950i | ||||
\(870\) | 26.2334 | + | 21.3662i | 0.889397 | + | 0.724382i | ||||
\(871\) | −32.1777 | + | 9.44822i | −1.09030 | + | 0.320141i | ||||
\(872\) | 7.91416 | − | 3.61428i | 0.268007 | − | 0.122395i | ||||
\(873\) | − | 0.452885i | − | 0.0153278i | ||||||
\(874\) | −2.14431 | − | 24.8907i | −0.0725324 | − | 0.841941i | ||||
\(875\) | 54.5388 | − | 5.00421i | 1.84375 | − | 0.169173i | ||||
\(876\) | −3.09254 | − | 6.77172i | −0.104487 | − | 0.228795i | ||||
\(877\) | 3.31958 | + | 11.3055i | 0.112094 | + | 0.381758i | 0.996362 | − | 0.0852221i | \(-0.0271600\pi\) |
−0.884268 | + | 0.466981i | \(0.845342\pi\) | |||||||
\(878\) | −40.2370 | − | 34.8656i | −1.35793 | − | 1.17666i | ||||
\(879\) | 8.38845 | + | 5.39093i | 0.282936 | + | 0.181832i | ||||
\(880\) | 30.3452 | − | 27.9592i | 1.02294 | − | 0.942506i | ||||
\(881\) | 1.60275 | + | 11.1473i | 0.0539979 | + | 0.375563i | 0.998845 | + | 0.0480513i | \(0.0153011\pi\) |
−0.944847 | + | 0.327512i | \(0.893790\pi\) | |||||||
\(882\) | 0.917762 | − | 3.12561i | 0.0309026 | − | 0.105245i | ||||
\(883\) | −27.9399 | − | 43.4753i | −0.940252 | − | 1.46306i | −0.885543 | − | 0.464558i | \(-0.846213\pi\) |
−0.0547088 | − | 0.998502i | \(-0.517423\pi\) | |||||||
\(884\) | −1.31432 | + | 9.14128i | −0.0442053 | + | 0.307454i | ||||
\(885\) | −1.91928 | + | 4.56623i | −0.0645158 | + | 0.153492i | ||||
\(886\) | −21.2064 | + | 46.4356i | −0.712443 | + | 1.56003i | ||||
\(887\) | −0.749717 | − | 0.107793i | −0.0251730 | − | 0.00361933i | 0.129717 | − | 0.991551i | \(-0.458593\pi\) |
−0.154890 | + | 0.987932i | \(0.549502\pi\) | |||||||
\(888\) | −12.3702 | − | 19.2484i | −0.415117 | − | 0.645935i | ||||
\(889\) | −34.2517 | − | 10.0572i | −1.14877 | − | 0.337308i | ||||
\(890\) | 3.75435 | + | 21.4466i | 0.125846 | + | 0.718893i | ||||
\(891\) | 20.9262 | + | 24.1502i | 0.701056 | + | 0.809061i | ||||
\(892\) | −3.88289 | + | 6.04189i | −0.130009 | + | 0.202298i | ||||
\(893\) | 11.8210 | + | 10.2430i | 0.395576 | + | 0.342769i | ||||
\(894\) | −19.5106 | + | 5.72884i | −0.652533 | + | 0.191601i | ||||
\(895\) | 14.0974 | − | 6.96521i | 0.471224 | − | 0.232821i | ||||
\(896\) | 61.2598 | 2.04655 | ||||||||
\(897\) | 9.97739 | + | 17.6571i | 0.333136 | + | 0.589553i | ||||
\(898\) | 45.5758i | 1.52089i | ||||||||
\(899\) | 1.36544 | + | 2.98991i | 0.0455401 | + | 0.0997189i | ||||
\(900\) | −0.493550 | + | 0.178260i | −0.0164517 | + | 0.00594199i | ||||
\(901\) | 10.1623 | − | 11.7280i | 0.338557 | − | 0.390716i | ||||
\(902\) | −6.48501 | + | 10.0909i | −0.215927 | + | 0.335989i | ||||
\(903\) | −13.8799 | + | 12.0270i | −0.461894 | + | 0.400234i | ||||
\(904\) | −0.964856 | − | 6.71072i | −0.0320906 | − | 0.223195i | ||||
\(905\) | −11.9056 | + | 45.6537i | −0.395757 | + | 1.51758i | ||||
\(906\) | 5.57413 | − | 3.58227i | 0.185188 | − | 0.119013i | ||||
\(907\) | 51.2128 | + | 7.36329i | 1.70049 | + | 0.244494i | 0.923111 | − | 0.384534i | \(-0.125638\pi\) |
0.777383 | + | 0.629028i | \(0.216547\pi\) | |||||||
\(908\) | −16.2258 | − | 7.41006i | −0.538471 | − | 0.245911i | ||||
\(909\) | −0.200697 | + | 0.439465i | −0.00665669 | + | 0.0145761i | ||||
\(910\) | 5.23616 | − | 46.4303i | 0.173577 | − | 1.53915i | ||||
\(911\) | 33.0464 | − | 21.2376i | 1.09487 | − | 0.703633i | 0.136928 | − | 0.990581i | \(-0.456277\pi\) |
0.957946 | + | 0.286948i | \(0.0926406\pi\) | |||||||
\(912\) | 7.26936 | − | 24.7572i | 0.240712 | − | 0.819791i | ||||
\(913\) | −34.8354 | + | 5.00857i | −1.15288 | + | 0.165760i | ||||
\(914\) | −2.82212 | − | 3.25690i | −0.0933475 | − | 0.107729i | ||||
\(915\) | −28.3047 | − | 16.9936i | −0.935724 | − | 0.561790i | ||||
\(916\) | −0.198237 | + | 0.228778i | −0.00654994 | + | 0.00755903i | ||||
\(917\) | 15.0374 | + | 51.2127i | 0.496579 | + | 1.69119i | ||||
\(918\) | 32.6049 | − | 14.8902i | 1.07612 | − | 0.491449i | ||||
\(919\) | −13.6460 | −0.450141 | −0.225070 | − | 0.974342i | \(-0.572261\pi\) | ||||
−0.225070 | + | 0.974342i | \(0.572261\pi\) | |||||||
\(920\) | −17.5276 | − | 8.56996i | −0.577866 | − | 0.282543i | ||||
\(921\) | −8.54910 | −0.281702 | ||||||||
\(922\) | 19.4252 | − | 8.87119i | 0.639735 | − | 0.292157i | ||||
\(923\) | −1.53240 | − | 5.21889i | −0.0504397 | − | 0.171782i | ||||
\(924\) | −18.9007 | + | 21.8125i | −0.621786 | + | 0.717579i | ||||
\(925\) | 18.0692 | − | 32.2883i | 0.594111 | − | 1.06163i | ||||
\(926\) | −27.5637 | − | 31.8102i | −0.905799 | − | 1.04535i | ||||
\(927\) | −0.0931061 | + | 0.0133866i | −0.00305800 | + | 0.000439675i | ||||
\(928\) | −7.20801 | + | 24.5482i | −0.236615 | + | 0.805835i | ||||
\(929\) | 28.0568 | − | 18.0310i | 0.920513 | − | 0.591577i | 0.00770627 | − | 0.999970i | \(-0.497547\pi\) |
0.912806 | + | 0.408393i | \(0.133911\pi\) | |||||||
\(930\) | 4.09685 | + | 0.462020i | 0.134341 | + | 0.0151502i | ||||
\(931\) | −21.4554 | + | 46.9807i | −0.703171 | + | 1.53973i | ||||
\(932\) | 8.56275 | + | 3.91048i | 0.280482 | + | 0.128092i | ||||
\(933\) | 0.407798 | + | 0.0586325i | 0.0133507 | + | 0.00191954i | ||||
\(934\) | −25.9315 | + | 16.6652i | −0.848505 | + | 0.545301i | ||||
\(935\) | −31.5962 | − | 8.23969i | −1.03331 | − | 0.269467i | ||||
\(936\) | −0.0720356 | − | 0.501019i | −0.00235456 | − | 0.0163763i | ||||
\(937\) | 34.4726 | − | 29.8707i | 1.12617 | − | 0.975832i | 0.126301 | − | 0.991992i | \(-0.459689\pi\) |
0.999869 | + | 0.0161595i | \(0.00514395\pi\) | |||||||
\(938\) | −61.1866 | + | 95.2082i | −1.99781 | + | 3.10866i | ||||
\(939\) | −7.49355 | + | 8.64802i | −0.244543 | + | 0.282218i | ||||
\(940\) | −10.2687 | + | 3.35853i | −0.334927 | + | 0.109543i | ||||
\(941\) | 18.9045 | + | 41.3952i | 0.616270 | + | 1.34944i | 0.918201 | + | 0.396114i | \(0.129641\pi\) |
−0.301931 | + | 0.953330i | \(0.597631\pi\) | |||||||
\(942\) | − | 50.0710i | − | 1.63140i | ||||||
\(943\) | 8.90537 | + | 1.80208i | 0.289999 | + | 0.0586838i | ||||
\(944\) | −6.51224 | −0.211955 | ||||||||
\(945\) | −51.9340 | + | 25.6594i | −1.68941 | + | 0.834702i | ||||
\(946\) | −13.4018 | + | 3.93514i | −0.435732 | + | 0.127942i | ||||
\(947\) | −40.9626 | − | 35.4943i | −1.33111 | − | 1.15341i | −0.975801 | − | 0.218661i | \(-0.929831\pi\) |
−0.355306 | − | 0.934750i | \(-0.615623\pi\) | |||||||
\(948\) | −6.21297 | + | 9.66756i | −0.201788 | + | 0.313988i | ||||
\(949\) | 7.60431 | + | 8.77585i | 0.246846 | + | 0.284876i | ||||
\(950\) | 25.5075 | − | 5.27158i | 0.827571 | − | 0.171033i | ||||
\(951\) | −13.6395 | − | 4.00491i | −0.442290 | − | 0.129868i | ||||
\(952\) | −19.0508 | − | 29.6437i | −0.617441 | − | 0.960757i | ||||
\(953\) | −14.6374 | − | 2.10453i | −0.474150 | − | 0.0681725i | −0.0989027 | − | 0.995097i | \(-0.531533\pi\) |
−0.375248 | + | 0.926925i | \(0.622442\pi\) | |||||||
\(954\) | 0.312503 | − | 0.684286i | 0.0101177 | − | 0.0221546i | ||||
\(955\) | −32.6888 | − | 13.7397i | −1.05778 | − | 0.444607i | ||||
\(956\) | 3.50849 | − | 24.4021i | 0.113473 | − | 0.789219i | ||||
\(957\) | 17.6245 | + | 27.4242i | 0.569718 | + | 0.886499i | ||||
\(958\) | −2.49995 | + | 8.51403i | −0.0807696 | + | 0.275076i | ||||
\(959\) | 3.78413 | + | 26.3192i | 0.122196 | + | 0.849892i | ||||
\(960\) | −3.98556 | − | 4.32568i | −0.128633 | − | 0.139611i | ||||
\(961\) | −25.7419 | − | 16.5433i | −0.830384 | − | 0.533655i | ||||
\(962\) | −23.8563 | − | 20.6716i | −0.769159 | − | 0.666480i | ||||
\(963\) | 0.271127 | + | 0.923372i | 0.00873693 | + | 0.0297553i | ||||
\(964\) | 5.04023 | + | 11.0366i | 0.162335 | + | 0.355464i | ||||
\(965\) | 9.64650 | − | 0.294306i | 0.310532 | − | 0.00947404i | ||||
\(966\) | 64.4680 | + | 22.9834i | 2.07422 | + | 0.739480i | ||||
\(967\) | 12.1168i | 0.389651i | 0.980838 | + | 0.194826i | \(0.0624141\pi\) | ||||
−0.980838 | + | 0.194826i | \(0.937586\pi\) | |||||||
\(968\) | 4.37058 | − | 1.99598i | 0.140476 | − | 0.0641532i | ||||
\(969\) | −19.5917 | + | 5.75265i | −0.629376 | + | 0.184802i | ||||
\(970\) | −12.0391 | − | 9.80539i | −0.386551 | − | 0.314832i | ||||
\(971\) | −4.52302 | − | 2.90677i | −0.145151 | − | 0.0932826i | 0.466050 | − | 0.884758i | \(-0.345677\pi\) |
−0.611200 | + | 0.791476i | \(0.709313\pi\) | |||||||
\(972\) | 0.823848 | − | 0.713869i | 0.0264250 | − | 0.0228974i | ||||
\(973\) | 51.6865 | − | 7.43140i | 1.65699 | − | 0.238240i | ||||
\(974\) | −64.2848 | − | 18.8757i | −2.05982 | − | 0.604817i | ||||
\(975\) | −17.0579 | + | 12.4947i | −0.546289 | + | 0.400149i | ||||
\(976\) | 6.17726 | − | 42.9638i | 0.197729 | − | 1.37524i | ||||
\(977\) | 19.7629 | + | 9.02539i | 0.632270 | + | 0.288748i | 0.705655 | − | 0.708556i | \(-0.250653\pi\) |
−0.0733850 | + | 0.997304i | \(0.523380\pi\) | |||||||
\(978\) | 20.3709 | + | 9.30309i | 0.651390 | + | 0.297480i | ||||
\(979\) | −2.98555 | + | 20.7649i | −0.0954185 | + | 0.663650i | ||||
\(980\) | −20.1933 | − | 29.4092i | −0.645052 | − | 0.939443i | ||||
\(981\) | −0.513011 | − | 0.150634i | −0.0163792 | − | 0.00480936i | ||||
\(982\) | −50.4515 | + | 7.25383i | −1.60997 | + | 0.231479i | ||||
\(983\) | 9.13251 | − | 7.91337i | 0.291282 | − | 0.252397i | −0.496945 | − | 0.867782i | \(-0.665545\pi\) |
0.788227 | + | 0.615385i | \(0.210999\pi\) | |||||||
\(984\) | 4.92791 | + | 3.16697i | 0.157096 | + | 0.100959i | ||||
\(985\) | 14.8009 | − | 18.1725i | 0.471595 | − | 0.579024i | ||||
\(986\) | 33.7758 | − | 9.91747i | 1.07564 | − | 0.315837i | ||||
\(987\) | −38.9785 | + | 17.8009i | −1.24070 | + | 0.566609i | ||||
\(988\) | − | 7.09803i | − | 0.225818i | ||||||
\(989\) | 6.46284 | + | 8.37671i | 0.205506 | + | 0.266364i | ||||
\(990\) | −1.58215 | + | 0.0482698i | −0.0502839 | + | 0.00153412i | ||||
\(991\) | 12.9568 | + | 28.3715i | 0.411587 | + | 0.901250i | 0.995963 | + | 0.0897668i | \(0.0286122\pi\) |
−0.584376 | + | 0.811483i | \(0.698661\pi\) | |||||||
\(992\) | 0.878340 | + | 2.99135i | 0.0278873 | + | 0.0949755i | ||||
\(993\) | 24.0578 | + | 20.8462i | 0.763452 | + | 0.661535i | ||||
\(994\) | −15.4418 | − | 9.92384i | −0.489784 | − | 0.314765i | ||||
\(995\) | 34.9665 | − | 32.2171i | 1.10851 | − | 1.02135i | ||||
\(996\) | −2.16335 | − | 15.0465i | −0.0685485 | − | 0.476765i | ||||
\(997\) | −5.70017 | + | 19.4130i | −0.180526 | + | 0.614816i | 0.818652 | + | 0.574289i | \(0.194722\pi\) |
−0.999178 | + | 0.0405262i | \(0.987097\pi\) | |||||||
\(998\) | 14.3088 | + | 22.2649i | 0.452937 | + | 0.704784i | ||||
\(999\) | −5.56944 | + | 38.7363i | −0.176209 | + | 1.22556i |
(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 | 115.2.j.a.4.9 | yes | 100 | |
5.2 | odd | 4 | 575.2.k.g.326.9 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.326.2 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.4.2 | ✓ | 100 | |
23.6 | even | 11 | inner | 115.2.j.a.29.2 | yes | 100 | |
115.29 | even | 22 | inner | 115.2.j.a.29.9 | yes | 100 | |
115.52 | odd | 44 | 575.2.k.g.351.9 | 100 | |||
115.98 | odd | 44 | 575.2.k.g.351.2 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.4.2 | ✓ | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.4.9 | yes | 100 | 1.1 | even | 1 | trivial | |
115.2.j.a.29.2 | yes | 100 | 23.6 | even | 11 | inner | |
115.2.j.a.29.9 | yes | 100 | 115.29 | even | 22 | inner | |
575.2.k.g.326.2 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.326.9 | 100 | 5.2 | odd | 4 | |||
575.2.k.g.351.2 | 100 | 115.98 | odd | 44 | |||
575.2.k.g.351.9 | 100 | 115.52 | odd | 44 |