Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [77,2,Mod(6,77)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(77, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("77.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 77 = 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 77.l (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.614848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 20x^{14} + 260x^{12} + 2030x^{10} + 11605x^{8} + 42100x^{6} + 106925x^{4} + 113575x^{2} + 87025 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 62.3 | ||
Root | \(0.551501 - 0.955228i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 77.62 |
Dual form | 77.2.l.b.41.3 |
$q$-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 \(\left(\mathbb{Z}/77\mathbb{Z}\right)^\times\).
\(n\) | \(45\) | \(57\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.395472 | + | 0.544320i | −0.279641 | + | 0.384892i | −0.925615 | − | 0.378467i | \(-0.876451\pi\) |
0.645974 | + | 0.763359i | \(0.276451\pi\) | |||||||
\(3\) | −2.52275 | − | 0.819690i | −1.45651 | − | 0.473248i | −0.529507 | − | 0.848305i | \(-0.677623\pi\) |
−0.927002 | + | 0.375057i | \(0.877623\pi\) | |||||||
\(4\) | 0.478148 | + | 1.47159i | 0.239074 | + | 0.735793i | ||||
\(5\) | 2.08654 | + | 2.87188i | 0.933130 | + | 1.28434i | 0.958626 | + | 0.284668i | \(0.0918834\pi\) |
−0.0254964 | + | 0.999675i | \(0.508117\pi\) | |||||||
\(6\) | 1.44385 | − | 1.04902i | 0.589449 | − | 0.428260i | ||||
\(7\) | −1.94632 | + | 1.79216i | −0.735639 | + | 0.677374i | ||||
\(8\) | −2.26988 | − | 0.737529i | −0.802524 | − | 0.260756i | ||||
\(9\) | 3.26531 | + | 2.37239i | 1.08844 | + | 0.790796i | ||||
\(10\) | −2.38839 | −0.755275 | ||||||||
\(11\) | 2.70528 | − | 1.91872i | 0.815672 | − | 0.578514i | ||||
\(12\) | − | 4.10438i | − | 1.18483i | ||||||
\(13\) | −0.892348 | − | 0.648328i | −0.247493 | − | 0.179814i | 0.457122 | − | 0.889404i | \(-0.348880\pi\) |
−0.704615 | + | 0.709590i | \(0.748880\pi\) | |||||||
\(14\) | −0.205796 | − | 1.76817i | −0.0550013 | − | 0.472563i | ||||
\(15\) | −2.90977 | − | 8.95534i | −0.751299 | − | 2.31226i | ||||
\(16\) | −1.20449 | + | 0.875112i | −0.301122 | + | 0.218778i | ||||
\(17\) | 3.37610 | − | 2.45288i | 0.818823 | − | 0.594910i | −0.0975518 | − | 0.995230i | \(-0.531101\pi\) |
0.916375 | + | 0.400320i | \(0.131101\pi\) | |||||||
\(18\) | −2.58268 | + | 0.839162i | −0.608743 | + | 0.197792i | ||||
\(19\) | −0.384885 | + | 1.18455i | −0.0882987 | + | 0.271756i | −0.985449 | − | 0.169969i | \(-0.945633\pi\) |
0.897151 | + | 0.441725i | \(0.145633\pi\) | |||||||
\(20\) | −3.22854 | + | 4.44371i | −0.721924 | + | 0.993644i | ||||
\(21\) | 6.37909 | − | 2.92579i | 1.39203 | − | 0.638461i | ||||
\(22\) | −0.0254657 | + | 2.23133i | −0.00542931 | + | 0.475722i | ||||
\(23\) | 2.85410 | 0.595121 | 0.297561 | − | 0.954703i | \(-0.403827\pi\) | ||||
0.297561 | + | 0.954703i | \(0.403827\pi\) | |||||||
\(24\) | 5.12179 | + | 3.72120i | 1.04548 | + | 0.759586i | ||||
\(25\) | −2.34894 | + | 7.22930i | −0.469789 | + | 1.44586i | ||||
\(26\) | 0.705796 | − | 0.229327i | 0.138418 | − | 0.0449747i | ||||
\(27\) | −1.61550 | − | 2.22355i | −0.310904 | − | 0.427922i | ||||
\(28\) | −3.56795 | − | 2.00726i | −0.674279 | − | 0.379336i | ||||
\(29\) | 1.94279 | − | 0.631251i | 0.360767 | − | 0.117220i | −0.123024 | − | 0.992404i | \(-0.539259\pi\) |
0.483791 | + | 0.875183i | \(0.339259\pi\) | |||||||
\(30\) | 6.02530 | + | 1.95774i | 1.10006 | + | 0.357433i | ||||
\(31\) | 1.76059 | − | 2.42325i | 0.316212 | − | 0.435228i | −0.621094 | − | 0.783736i | \(-0.713312\pi\) |
0.937306 | + | 0.348508i | \(0.113312\pi\) | |||||||
\(32\) | − | 5.77510i | − | 1.02090i | ||||||
\(33\) | −8.39749 | + | 2.62294i | −1.46181 | + | 0.456596i | ||||
\(34\) | 2.80772i | 0.481520i | ||||||||
\(35\) | −9.20795 | − | 1.85017i | −1.55643 | − | 0.312735i | ||||
\(36\) | −1.92987 | + | 5.93954i | −0.321646 | + | 0.989924i | ||||
\(37\) | 0.853512 | + | 2.62684i | 0.140316 | + | 0.431850i | 0.996379 | − | 0.0850225i | \(-0.0270962\pi\) |
−0.856063 | + | 0.516872i | \(0.827096\pi\) | |||||||
\(38\) | −0.492566 | − | 0.677958i | −0.0799047 | − | 0.109979i | ||||
\(39\) | 1.71974 | + | 2.36702i | 0.275379 | + | 0.379026i | ||||
\(40\) | −2.61811 | − | 8.05771i | −0.413959 | − | 1.27404i | ||||
\(41\) | 1.69854 | − | 5.22758i | 0.265268 | − | 0.816410i | −0.726364 | − | 0.687310i | \(-0.758791\pi\) |
0.991632 | − | 0.129100i | \(-0.0412087\pi\) | |||||||
\(42\) | −0.930179 | + | 4.62933i | −0.143530 | + | 0.714322i | ||||
\(43\) | 1.73205i | 0.264135i | 0.991241 | + | 0.132068i | \(0.0421616\pi\) | ||||
−0.991241 | + | 0.132068i | \(0.957838\pi\) | |||||||
\(44\) | 4.11708 | + | 3.06362i | 0.620673 | + | 0.461859i | ||||
\(45\) | 14.3277i | 2.13584i | ||||||||
\(46\) | −1.12872 | + | 1.55354i | −0.166420 | + | 0.229058i | ||||
\(47\) | 6.49438 | + | 2.11015i | 0.947303 | + | 0.307797i | 0.741619 | − | 0.670821i | \(-0.234058\pi\) |
0.205684 | + | 0.978618i | \(0.434058\pi\) | |||||||
\(48\) | 3.75594 | − | 1.22038i | 0.542123 | − | 0.176147i | ||||
\(49\) | 0.576309 | − | 6.97624i | 0.0823298 | − | 0.996605i | ||||
\(50\) | −3.00611 | − | 4.13756i | −0.425129 | − | 0.585139i | ||||
\(51\) | −10.5276 | + | 3.42064i | −1.47416 | + | 0.478985i | ||||
\(52\) | 0.527398 | − | 1.62316i | 0.0731369 | − | 0.225092i | ||||
\(53\) | −0.873619 | − | 0.634721i | −0.120001 | − | 0.0871857i | 0.526166 | − | 0.850382i | \(-0.323629\pi\) |
−0.646167 | + | 0.763196i | \(0.723629\pi\) | |||||||
\(54\) | 1.84921 | 0.251645 | ||||||||
\(55\) | 11.1550 | + | 3.76575i | 1.50414 | + | 0.507774i | ||||
\(56\) | 5.73968 | − | 2.63253i | 0.766997 | − | 0.351786i | ||||
\(57\) | 1.94194 | − | 2.67285i | 0.257216 | − | 0.354027i | ||||
\(58\) | −0.424716 | + | 1.30714i | −0.0557679 | + | 0.171636i | ||||
\(59\) | −2.17773 | + | 0.707589i | −0.283517 | + | 0.0921202i | −0.447323 | − | 0.894372i | \(-0.647623\pi\) |
0.163807 | + | 0.986492i | \(0.447623\pi\) | |||||||
\(60\) | 11.7873 | − | 8.56395i | 1.52173 | − | 1.10560i | ||||
\(61\) | −10.8018 | + | 7.84799i | −1.38303 | + | 1.00483i | −0.386442 | + | 0.922314i | \(0.626296\pi\) |
−0.996590 | + | 0.0825181i | \(0.973704\pi\) | |||||||
\(62\) | 0.622757 | + | 1.91665i | 0.0790903 | + | 0.243415i | ||||
\(63\) | −10.6070 | + | 1.23455i | −1.33636 | + | 0.155538i | ||||
\(64\) | 0.734523 | + | 0.533662i | 0.0918153 | + | 0.0667077i | ||||
\(65\) | − | 3.91548i | − | 0.485655i | ||||||
\(66\) | 1.89325 | − | 5.60822i | 0.233043 | − | 0.690324i | ||||
\(67\) | 0.489806 | 0.0598393 | 0.0299197 | − | 0.999552i | \(-0.490475\pi\) | ||||
0.0299197 | + | 0.999552i | \(0.490475\pi\) | |||||||
\(68\) | 5.22389 | + | 3.79538i | 0.633490 | + | 0.460258i | ||||
\(69\) | −7.20018 | − | 2.33948i | −0.866800 | − | 0.281640i | ||||
\(70\) | 4.64856 | − | 4.28038i | 0.555610 | − | 0.511603i | ||||
\(71\) | −8.25697 | + | 5.99904i | −0.979921 | + | 0.711955i | −0.957691 | − | 0.287798i | \(-0.907077\pi\) |
−0.0222304 | + | 0.999753i | \(0.507077\pi\) | |||||||
\(72\) | −5.66216 | − | 7.79330i | −0.667292 | − | 0.918449i | ||||
\(73\) | −3.87124 | − | 11.9144i | −0.453094 | − | 1.39448i | −0.873358 | − | 0.487078i | \(-0.838063\pi\) |
0.420264 | − | 0.907402i | \(-0.361937\pi\) | |||||||
\(74\) | −1.76738 | − | 0.574257i | −0.205454 | − | 0.0667560i | ||||
\(75\) | 11.8516 | − | 16.3123i | 1.36850 | − | 1.88358i | ||||
\(76\) | −1.92721 | −0.221066 | ||||||||
\(77\) | −1.82668 | + | 8.58273i | −0.208170 | + | 0.978093i | ||||
\(78\) | −1.96852 | −0.222891 | ||||||||
\(79\) | 7.30806 | − | 10.0587i | 0.822221 | − | 1.13169i | −0.167100 | − | 0.985940i | \(-0.553440\pi\) |
0.989321 | − | 0.145750i | \(-0.0465597\pi\) | |||||||
\(80\) | −5.02643 | − | 1.63319i | −0.561972 | − | 0.182596i | ||||
\(81\) | −1.48883 | − | 4.58215i | −0.165426 | − | 0.509127i | ||||
\(82\) | 2.17375 | + | 2.99191i | 0.240050 | + | 0.330401i | ||||
\(83\) | 1.30949 | − | 0.951400i | 0.143735 | − | 0.104430i | −0.513594 | − | 0.858033i | \(-0.671686\pi\) |
0.657329 | + | 0.753604i | \(0.271686\pi\) | |||||||
\(84\) | 7.35571 | + | 7.98842i | 0.802573 | + | 0.871608i | ||||
\(85\) | 14.0887 | + | 4.57770i | 1.52814 | + | 0.496522i | ||||
\(86\) | −0.942790 | − | 0.684977i | −0.101664 | − | 0.0738629i | ||||
\(87\) | −5.41860 | −0.580935 | ||||||||
\(88\) | −7.55577 | + | 2.36003i | −0.805447 | + | 0.251580i | ||||
\(89\) | − | 2.30985i | − | 0.244844i | −0.992478 | − | 0.122422i | \(-0.960934\pi\) | ||
0.992478 | − | 0.122422i | \(-0.0390661\pi\) | |||||||
\(90\) | −7.79883 | − | 5.66618i | −0.822069 | − | 0.597268i | ||||
\(91\) | 2.89870 | − | 0.337378i | 0.303867 | − | 0.0353668i | ||||
\(92\) | 1.36468 | + | 4.20006i | 0.142278 | + | 0.437886i | ||||
\(93\) | −6.42784 | + | 4.67010i | −0.666536 | + | 0.484267i | ||||
\(94\) | −3.71694 | + | 2.70052i | −0.383373 | + | 0.278537i | ||||
\(95\) | −4.20498 | + | 1.36628i | −0.431422 | + | 0.140177i | ||||
\(96\) | −4.73379 | + | 14.5691i | −0.483141 | + | 1.48695i | ||||
\(97\) | −7.44620 | + | 10.2488i | −0.756047 | + | 1.04061i | 0.241485 | + | 0.970405i | \(0.422366\pi\) |
−0.997533 | + | 0.0702056i | \(0.977634\pi\) | |||||||
\(98\) | 3.56939 | + | 3.07260i | 0.360563 | + | 0.310379i | ||||
\(99\) | 13.3855 | + | 0.152766i | 1.34530 | + | 0.0153536i | ||||
\(100\) | −11.7617 | −1.17617 | ||||||||
\(101\) | 2.56175 | + | 1.86122i | 0.254903 | + | 0.185198i | 0.707897 | − | 0.706316i | \(-0.249644\pi\) |
−0.452994 | + | 0.891514i | \(0.649644\pi\) | |||||||
\(102\) | 2.30146 | − | 7.08317i | 0.227879 | − | 0.701338i | ||||
\(103\) | 9.25587 | − | 3.00742i | 0.912008 | − | 0.296329i | 0.184824 | − | 0.982772i | \(-0.440829\pi\) |
0.727184 | + | 0.686442i | \(0.240829\pi\) | |||||||
\(104\) | 1.54736 | + | 2.12976i | 0.151731 | + | 0.208840i | ||||
\(105\) | 21.7128 | + | 12.2152i | 2.11895 | + | 1.19208i | ||||
\(106\) | 0.690983 | − | 0.224514i | 0.0671142 | − | 0.0218067i | ||||
\(107\) | −10.0400 | − | 3.26220i | −0.970606 | − | 0.315369i | −0.219546 | − | 0.975602i | \(-0.570457\pi\) |
−0.751061 | + | 0.660233i | \(0.770457\pi\) | |||||||
\(108\) | 2.49970 | − | 3.44054i | 0.240534 | − | 0.331066i | ||||
\(109\) | 3.04683i | 0.291833i | 0.989297 | + | 0.145917i | \(0.0466131\pi\) | ||||
−0.989297 | + | 0.145917i | \(0.953387\pi\) | |||||||
\(110\) | −6.46126 | + | 4.58264i | −0.616057 | + | 0.436937i | ||||
\(111\) | − | 7.32647i | − | 0.695397i | ||||||
\(112\) | 0.775975 | − | 3.86189i | 0.0733227 | − | 0.364914i | ||||
\(113\) | 2.24257 | − | 6.90191i | 0.210963 | − | 0.649277i | −0.788453 | − | 0.615096i | \(-0.789117\pi\) |
0.999416 | − | 0.0341819i | \(-0.0108826\pi\) | |||||||
\(114\) | 0.686903 | + | 2.11407i | 0.0643343 | + | 0.198001i | ||||
\(115\) | 5.95520 | + | 8.19663i | 0.555326 | + | 0.764340i | ||||
\(116\) | 1.85788 | + | 2.55715i | 0.172500 | + | 0.237426i | ||||
\(117\) | −1.37571 | − | 4.23399i | −0.127184 | − | 0.391432i | ||||
\(118\) | 0.476077 | − | 1.46521i | 0.0438265 | − | 0.134884i | ||||
\(119\) | −2.17500 | + | 10.8246i | −0.199382 | + | 0.992288i | ||||
\(120\) | 22.4736i | 2.05155i | ||||||||
\(121\) | 3.63706 | − | 10.3813i | 0.330642 | − | 0.943756i | ||||
\(122\) | − | 8.98330i | − | 0.813310i | ||||||
\(123\) | −8.56999 | + | 11.7956i | −0.772730 | + | 1.06357i | ||||
\(124\) | 4.40784 | + | 1.43219i | 0.395836 | + | 0.128615i | ||||
\(125\) | −8.78237 | + | 2.85357i | −0.785519 | + | 0.255231i | ||||
\(126\) | 3.52279 | − | 6.26185i | 0.313835 | − | 0.557850i | ||||
\(127\) | −3.60298 | − | 4.95908i | −0.319713 | − | 0.440047i | 0.618666 | − | 0.785654i | \(-0.287673\pi\) |
−0.938380 | + | 0.345606i | \(0.887673\pi\) | |||||||
\(128\) | 10.4039 | − | 3.38044i | 0.919585 | − | 0.298791i | ||||
\(129\) | 1.41975 | − | 4.36953i | 0.125002 | − | 0.384715i | ||||
\(130\) | 2.13127 | + | 1.54846i | 0.186925 | + | 0.135809i | ||||
\(131\) | −18.8287 | −1.64507 | −0.822534 | − | 0.568715i | \(-0.807441\pi\) | ||||
−0.822534 | + | 0.568715i | \(0.807441\pi\) | |||||||
\(132\) | −7.87513 | − | 11.1035i | −0.685442 | − | 0.966434i | ||||
\(133\) | −1.37381 | − | 2.99530i | −0.119124 | − | 0.259725i | ||||
\(134\) | −0.193704 | + | 0.266611i | −0.0167335 | + | 0.0230317i | ||||
\(135\) | 3.01495 | − | 9.27906i | 0.259485 | − | 0.798614i | ||||
\(136\) | −9.47240 | + | 3.07777i | −0.812252 | + | 0.263917i | ||||
\(137\) | 2.39419 | − | 1.73948i | 0.204550 | − | 0.148614i | −0.480795 | − | 0.876833i | \(-0.659652\pi\) |
0.685344 | + | 0.728219i | \(0.259652\pi\) | |||||||
\(138\) | 4.12089 | − | 2.99400i | 0.350794 | − | 0.254866i | ||||
\(139\) | 4.56525 | + | 14.0504i | 0.387219 | + | 1.19174i | 0.934857 | + | 0.355024i | \(0.115527\pi\) |
−0.547638 | + | 0.836715i | \(0.684473\pi\) | |||||||
\(140\) | −1.68007 | − | 14.4349i | −0.141992 | − | 1.21998i | ||||
\(141\) | −14.6540 | − | 10.6468i | −1.23409 | − | 0.896619i | ||||
\(142\) | − | 6.86688i | − | 0.576256i | ||||||
\(143\) | −3.65801 | − | 0.0417480i | −0.305898 | − | 0.00349115i | ||||
\(144\) | −6.00914 | −0.500761 | ||||||||
\(145\) | 5.86659 | + | 4.26232i | 0.487193 | + | 0.353967i | ||||
\(146\) | 8.01623 | + | 2.60463i | 0.663428 | + | 0.215561i | ||||
\(147\) | −7.17224 | + | 17.1269i | −0.591556 | + | 1.41260i | ||||
\(148\) | −3.45752 | + | 2.51203i | −0.284206 | + | 0.206488i | ||||
\(149\) | 4.41558 | + | 6.07752i | 0.361738 | + | 0.497890i | 0.950632 | − | 0.310320i | \(-0.100436\pi\) |
−0.588894 | + | 0.808210i | \(0.700436\pi\) | |||||||
\(150\) | 4.19215 | + | 12.9021i | 0.342287 | + | 1.05345i | ||||
\(151\) | 12.1054 | + | 3.93330i | 0.985127 | + | 0.320087i | 0.756907 | − | 0.653523i | \(-0.226710\pi\) |
0.228220 | + | 0.973610i | \(0.426710\pi\) | |||||||
\(152\) | 1.74729 | − | 2.40493i | 0.141724 | − | 0.195066i | ||||
\(153\) | 16.8432 | 1.36169 | ||||||||
\(154\) | −3.94935 | − | 4.38852i | −0.318248 | − | 0.353637i | ||||
\(155\) | 10.6328 | 0.854048 | ||||||||
\(156\) | −2.66098 | + | 3.66253i | −0.213049 | + | 0.293237i | ||||
\(157\) | 14.5146 | + | 4.71608i | 1.15839 | + | 0.376384i | 0.824298 | − | 0.566156i | \(-0.191570\pi\) |
0.334093 | + | 0.942540i | \(0.391570\pi\) | |||||||
\(158\) | 2.58501 | + | 7.95585i | 0.205652 | + | 0.632933i | ||||
\(159\) | 1.68365 | + | 2.31734i | 0.133522 | + | 0.183777i | ||||
\(160\) | 16.5854 | − | 12.0500i | 1.31119 | − | 0.952634i | ||||
\(161\) | −5.55499 | + | 5.11501i | −0.437795 | + | 0.403120i | ||||
\(162\) | 3.08294 | + | 1.00171i | 0.242219 | + | 0.0787017i | ||||
\(163\) | −17.0168 | − | 12.3634i | −1.33286 | − | 0.968378i | −0.999674 | − | 0.0255158i | \(-0.991877\pi\) |
−0.333183 | − | 0.942862i | \(-0.608123\pi\) | |||||||
\(164\) | 8.50499 | 0.664128 | ||||||||
\(165\) | −25.0545 | − | 18.6437i | −1.95049 | − | 1.45141i | ||||
\(166\) | 1.08903i | 0.0845253i | ||||||||
\(167\) | 6.74802 | + | 4.90273i | 0.522178 | + | 0.379384i | 0.817424 | − | 0.576037i | \(-0.195402\pi\) |
−0.295246 | + | 0.955421i | \(0.595402\pi\) | |||||||
\(168\) | −16.6376 | + | 1.93644i | −1.28362 | + | 0.149400i | ||||
\(169\) | −3.64127 | − | 11.2067i | −0.280097 | − | 0.862051i | ||||
\(170\) | −8.06343 | + | 5.85842i | −0.618437 | + | 0.449320i | ||||
\(171\) | −4.06699 | + | 2.95484i | −0.311011 | + | 0.225963i | ||||
\(172\) | −2.54886 | + | 0.828176i | −0.194349 | + | 0.0631478i | ||||
\(173\) | 4.96246 | − | 15.2729i | 0.377289 | − | 1.16117i | −0.564633 | − | 0.825342i | \(-0.690982\pi\) |
0.941922 | − | 0.335833i | \(-0.109018\pi\) | |||||||
\(174\) | 2.14290 | − | 2.94945i | 0.162453 | − | 0.223597i | ||||
\(175\) | −8.38430 | − | 18.2802i | −0.633793 | − | 1.38185i | ||||
\(176\) | −1.57939 | + | 4.67849i | −0.119051 | + | 0.352655i | ||||
\(177\) | 6.07388 | 0.456540 | ||||||||
\(178\) | 1.25730 | + | 0.913480i | 0.0942384 | + | 0.0684682i | ||||
\(179\) | 2.27689 | − | 7.00754i | 0.170182 | − | 0.523768i | −0.829198 | − | 0.558955i | \(-0.811203\pi\) |
0.999381 | + | 0.0351868i | \(0.0112026\pi\) | |||||||
\(180\) | −21.0844 | + | 6.85074i | −1.57154 | + | 0.510624i | ||||
\(181\) | −8.51032 | − | 11.7134i | −0.632567 | − | 0.870654i | 0.365625 | − | 0.930762i | \(-0.380855\pi\) |
−0.998192 | + | 0.0601085i | \(0.980855\pi\) | |||||||
\(182\) | −0.962712 | + | 1.71124i | −0.0713610 | + | 0.126846i | ||||
\(183\) | 33.6832 | − | 10.9443i | 2.48993 | − | 0.809028i | ||||
\(184\) | −6.47847 | − | 2.10498i | −0.477599 | − | 0.155181i | ||||
\(185\) | −5.76307 | + | 7.93219i | −0.423710 | + | 0.583186i | ||||
\(186\) | − | 5.34569i | − | 0.391965i | ||||||
\(187\) | 4.42691 | − | 13.1135i | 0.323727 | − | 0.958953i | ||||
\(188\) | 10.5660i | 0.770606i | ||||||||
\(189\) | 7.12925 | + | 1.43249i | 0.518576 | + | 0.104198i | ||||
\(190\) | 0.919255 | − | 2.82918i | 0.0666898 | − | 0.205250i | ||||
\(191\) | 0.491165 | + | 1.51165i | 0.0355394 | + | 0.109379i | 0.967253 | − | 0.253816i | \(-0.0816858\pi\) |
−0.931713 | + | 0.363195i | \(0.881686\pi\) | |||||||
\(192\) | −1.41558 | − | 1.94838i | −0.102161 | − | 0.140612i | ||||
\(193\) | 6.58503 | + | 9.06352i | 0.474001 | + | 0.652406i | 0.977338 | − | 0.211684i | \(-0.0678946\pi\) |
−0.503337 | + | 0.864090i | \(0.667895\pi\) | |||||||
\(194\) | −2.63388 | − | 8.10623i | −0.189101 | − | 0.581994i | ||||
\(195\) | −3.20948 | + | 9.87776i | −0.229836 | + | 0.707361i | ||||
\(196\) | 10.5417 | − | 2.48758i | 0.752978 | − | 0.177684i | ||||
\(197\) | 15.0339i | 1.07112i | 0.844496 | + | 0.535561i | \(0.179900\pi\) | ||||
−0.844496 | + | 0.535561i | \(0.820100\pi\) | |||||||
\(198\) | −5.37674 | + | 7.22559i | −0.382109 | + | 0.513500i | ||||
\(199\) | − | 21.9453i | − | 1.55566i | −0.628476 | − | 0.777829i | \(-0.716321\pi\) | ||
0.628476 | − | 0.777829i | \(-0.283679\pi\) | |||||||
\(200\) | 10.6636 | − | 14.6772i | 0.754033 | − | 1.03784i | ||||
\(201\) | −1.23566 | − | 0.401489i | −0.0871565 | − | 0.0283189i | ||||
\(202\) | −2.02620 | + | 0.658351i | −0.142563 | + | 0.0463214i | ||||
\(203\) | −2.64998 | + | 4.71041i | −0.185992 | + | 0.330606i | ||||
\(204\) | −10.0675 | − | 13.8568i | −0.704868 | − | 0.970167i | ||||
\(205\) | 18.5570 | − | 6.02955i | 1.29608 | − | 0.421122i | ||||
\(206\) | −2.02344 | + | 6.22750i | −0.140980 | + | 0.433891i | ||||
\(207\) | 9.31953 | + | 6.77104i | 0.647752 | + | 0.470620i | ||||
\(208\) | 1.64218 | 0.113865 | ||||||||
\(209\) | 1.23160 | + | 3.94304i | 0.0851917 | + | 0.272746i | ||||
\(210\) | −15.2357 | + | 6.98793i | −1.05137 | + | 0.482213i | ||||
\(211\) | −8.44647 | + | 11.6256i | −0.581479 | + | 0.800337i | −0.993857 | − | 0.110676i | \(-0.964698\pi\) |
0.412378 | + | 0.911013i | \(0.364698\pi\) | |||||||
\(212\) | 0.516329 | − | 1.58910i | 0.0354616 | − | 0.109140i | ||||
\(213\) | 25.7476 | − | 8.36590i | 1.76420 | − | 0.573222i | ||||
\(214\) | 5.74623 | − | 4.17488i | 0.392804 | − | 0.285389i | ||||
\(215\) | −4.97424 | + | 3.61400i | −0.339240 | + | 0.246472i | ||||
\(216\) | 2.02707 | + | 6.23867i | 0.137924 | + | 0.424488i | ||||
\(217\) | 0.916180 | + | 7.87168i | 0.0621943 | + | 0.534364i | ||||
\(218\) | −1.65845 | − | 1.20493i | −0.112324 | − | 0.0816084i | ||||
\(219\) | 33.2303i | 2.24550i | ||||||||
\(220\) | −0.207897 | + | 18.2161i | −0.0140164 | + | 1.22813i | ||||
\(221\) | −4.60292 | −0.309626 | ||||||||
\(222\) | 3.98794 | + | 2.89741i | 0.267653 | + | 0.194461i | ||||
\(223\) | −16.8550 | − | 5.47651i | −1.12869 | − | 0.366734i | −0.315613 | − | 0.948888i | \(-0.602210\pi\) |
−0.813079 | + | 0.582154i | \(0.802210\pi\) | |||||||
\(224\) | 10.3499 | + | 11.2402i | 0.691532 | + | 0.751016i | ||||
\(225\) | −24.8207 | + | 18.0333i | −1.65472 | + | 1.20222i | ||||
\(226\) | 2.86998 | + | 3.95018i | 0.190908 | + | 0.262762i | ||||
\(227\) | 1.26738 | + | 3.90058i | 0.0841186 | + | 0.258891i | 0.984265 | − | 0.176696i | \(-0.0565410\pi\) |
−0.900147 | + | 0.435587i | \(0.856541\pi\) | |||||||
\(228\) | 4.86186 | + | 1.57971i | 0.321984 | + | 0.104619i | ||||
\(229\) | −5.76104 | + | 7.92939i | −0.380700 | + | 0.523989i | −0.955770 | − | 0.294116i | \(-0.904975\pi\) |
0.575070 | + | 0.818104i | \(0.304975\pi\) | |||||||
\(230\) | −6.81670 | −0.449480 | ||||||||
\(231\) | 11.6434 | − | 20.1547i | 0.766082 | − | 1.32608i | ||||
\(232\) | −4.87547 | −0.320090 | ||||||||
\(233\) | −0.0599317 | + | 0.0824889i | −0.00392626 | + | 0.00540403i | −0.810976 | − | 0.585080i | \(-0.801063\pi\) |
0.807049 | + | 0.590484i | \(0.201063\pi\) | |||||||
\(234\) | 2.84870 | + | 0.925598i | 0.186225 | + | 0.0605082i | ||||
\(235\) | 7.49070 | + | 23.0540i | 0.488639 | + | 1.50388i | ||||
\(236\) | −2.08256 | − | 2.86639i | −0.135563 | − | 0.186586i | ||||
\(237\) | −26.6814 | + | 19.3852i | −1.73314 | + | 1.25920i | ||||
\(238\) | −5.03189 | − | 5.46471i | −0.326169 | − | 0.354225i | ||||
\(239\) | −5.83544 | − | 1.89605i | −0.377463 | − | 0.122645i | 0.114140 | − | 0.993465i | \(-0.463589\pi\) |
−0.491603 | + | 0.870820i | \(0.663589\pi\) | |||||||
\(240\) | 11.3417 | + | 8.24023i | 0.732104 | + | 0.531905i | ||||
\(241\) | −4.31560 | −0.277992 | −0.138996 | − | 0.990293i | \(-0.544388\pi\) | ||||
−0.138996 | + | 0.990293i | \(0.544388\pi\) | |||||||
\(242\) | 4.21240 | + | 6.08524i | 0.270784 | + | 0.391174i | ||||
\(243\) | 21.0254i | 1.34878i | ||||||||
\(244\) | −16.7139 | − | 12.1433i | −1.07000 | − | 0.777397i | ||||
\(245\) | 21.2374 | − | 12.9011i | 1.35681 | − | 0.824222i | ||||
\(246\) | −3.03138 | − | 9.32963i | −0.193274 | − | 0.594835i | ||||
\(247\) | 1.11143 | − | 0.807503i | 0.0707187 | − | 0.0513802i | ||||
\(248\) | −5.78355 | + | 4.20199i | −0.367256 | + | 0.266827i | ||||
\(249\) | −4.08336 | + | 1.32677i | −0.258773 | + | 0.0840803i | ||||
\(250\) | 1.91993 | − | 5.90892i | 0.121427 | − | 0.373713i | ||||
\(251\) | 18.0415 | − | 24.8321i | 1.13877 | − | 1.56739i | 0.368552 | − | 0.929607i | \(-0.379854\pi\) |
0.770220 | − | 0.637778i | \(-0.220146\pi\) | |||||||
\(252\) | −6.88847 | − | 15.0189i | −0.433933 | − | 0.946101i | ||||
\(253\) | 7.72114 | − | 5.47621i | 0.485424 | − | 0.344286i | ||||
\(254\) | 4.12420 | 0.258776 | ||||||||
\(255\) | −31.7900 | − | 23.0968i | −1.99077 | − | 1.44638i | ||||
\(256\) | −2.83554 | + | 8.72689i | −0.177221 | + | 0.545431i | ||||
\(257\) | 6.40319 | − | 2.08052i | 0.399420 | − | 0.129779i | −0.102417 | − | 0.994742i | \(-0.532658\pi\) |
0.501837 | + | 0.864962i | \(0.332658\pi\) | |||||||
\(258\) | 1.81695 | + | 2.50082i | 0.113118 | + | 0.155694i | ||||
\(259\) | −6.36893 | − | 3.58303i | −0.395746 | − | 0.222639i | ||||
\(260\) | 5.76197 | − | 1.87218i | 0.357342 | − | 0.116107i | ||||
\(261\) | 7.84139 | + | 2.54782i | 0.485370 | + | 0.157706i | ||||
\(262\) | 7.44620 | − | 10.2488i | 0.460028 | − | 0.633174i | ||||
\(263\) | − | 24.4460i | − | 1.50741i | −0.657215 | − | 0.753703i | \(-0.728266\pi\) | ||
0.657215 | − | 0.753703i | \(-0.271734\pi\) | |||||||
\(264\) | 20.9958 | + | 0.239620i | 1.29220 | + | 0.0147476i | ||||
\(265\) | − | 3.83330i | − | 0.235478i | ||||||
\(266\) | 2.17370 | + | 0.436765i | 0.133278 | + | 0.0267798i | ||||
\(267\) | −1.89336 | + | 5.82717i | −0.115872 | + | 0.356617i | ||||
\(268\) | 0.234200 | + | 0.720792i | 0.0143060 | + | 0.0440294i | ||||
\(269\) | −14.8827 | − | 20.4842i | −0.907412 | − | 1.24895i | −0.968043 | − | 0.250785i | \(-0.919311\pi\) |
0.0606307 | − | 0.998160i | \(-0.480689\pi\) | |||||||
\(270\) | 3.85845 | + | 5.31070i | 0.234818 | + | 0.323199i | ||||
\(271\) | 8.44881 | + | 26.0028i | 0.513229 | + | 1.57956i | 0.786482 | + | 0.617613i | \(0.211900\pi\) |
−0.273254 | + | 0.961942i | \(0.588100\pi\) | |||||||
\(272\) | −1.91993 | + | 5.90892i | −0.116413 | + | 0.358281i | ||||
\(273\) | −7.58924 | − | 1.52492i | −0.459322 | − | 0.0922922i | ||||
\(274\) | 1.99112i | 0.120288i | ||||||||
\(275\) | 7.51643 | + | 24.0642i | 0.453258 | + | 1.45113i | ||||
\(276\) | − | 11.7143i | − | 0.705118i | ||||||
\(277\) | −13.1776 | + | 18.1373i | −0.791762 | + | 1.08977i | 0.202124 | + | 0.979360i | \(0.435216\pi\) |
−0.993886 | + | 0.110407i | \(0.964784\pi\) | |||||||
\(278\) | −9.45334 | − | 3.07158i | −0.566973 | − | 0.184221i | ||||
\(279\) | 11.4978 | − | 3.73585i | 0.688353 | − | 0.223659i | ||||
\(280\) | 19.5364 | + | 10.9908i | 1.16752 | + | 0.656825i | ||||
\(281\) | −12.6475 | − | 17.4078i | −0.754487 | − | 1.03846i | −0.997653 | − | 0.0684773i | \(-0.978186\pi\) |
0.243166 | − | 0.969985i | \(-0.421814\pi\) | |||||||
\(282\) | 11.5905 | − | 3.76598i | 0.690204 | − | 0.224261i | ||||
\(283\) | −9.56200 | + | 29.4288i | −0.568402 | + | 1.74936i | 0.0892187 | + | 0.996012i | \(0.471563\pi\) |
−0.657621 | + | 0.753349i | \(0.728437\pi\) | |||||||
\(284\) | −12.7762 | − | 9.28242i | −0.758125 | − | 0.550810i | ||||
\(285\) | 11.7280 | 0.694708 | ||||||||
\(286\) | 1.46936 | − | 1.97462i | 0.0868852 | − | 0.116761i | ||||
\(287\) | 6.06276 | + | 13.2186i | 0.357873 | + | 0.780269i | ||||
\(288\) | 13.7008 | − | 18.8575i | 0.807326 | − | 1.11119i | ||||
\(289\) | 0.128126 | − | 0.394331i | 0.00753681 | − | 0.0231959i | ||||
\(290\) | −4.64014 | + | 1.50767i | −0.272478 | + | 0.0885335i | ||||
\(291\) | 27.1858 | − | 19.7516i | 1.59366 | − | 1.15786i | ||||
\(292\) | 15.6821 | − | 11.3937i | 0.917726 | − | 0.666767i | ||||
\(293\) | −7.67937 | − | 23.6347i | −0.448634 | − | 1.38075i | −0.878449 | − | 0.477836i | \(-0.841421\pi\) |
0.429816 | − | 0.902917i | \(-0.358579\pi\) | |||||||
\(294\) | −6.48609 | − | 10.6772i | −0.378276 | − | 0.622706i | ||||
\(295\) | −6.57604 | − | 4.77777i | −0.382872 | − | 0.278173i | ||||
\(296\) | − | 6.59210i | − | 0.383158i | ||||||
\(297\) | −8.63675 | − | 2.91563i | −0.501155 | − | 0.169182i | ||||
\(298\) | −5.05435 | −0.292791 | ||||||||
\(299\) | −2.54685 | − | 1.85040i | −0.147288 | − | 0.107011i | ||||
\(300\) | 29.6718 | + | 9.64095i | 1.71310 | + | 0.556620i | ||||
\(301\) | −3.10412 | − | 3.37112i | −0.178918 | − | 0.194308i | ||||
\(302\) | −6.92833 | + | 5.03373i | −0.398681 | + | 0.289658i | ||||
\(303\) | −4.93702 | − | 6.79522i | −0.283624 | − | 0.390375i | ||||
\(304\) | −0.573029 | − | 1.76360i | −0.0328654 | − | 0.101149i | ||||
\(305\) | −45.0769 | − | 14.6464i | −2.58110 | − | 0.838649i | ||||
\(306\) | −6.66100 | + | 9.16808i | −0.380784 | + | 0.524104i | ||||
\(307\) | 10.0029 | 0.570896 | 0.285448 | − | 0.958394i | \(-0.407858\pi\) | ||||
0.285448 | + | 0.958394i | \(0.407858\pi\) | |||||||
\(308\) | −13.5037 | + | 1.41569i | −0.769442 | + | 0.0806663i | ||||
\(309\) | −25.8154 | −1.46859 | ||||||||
\(310\) | −4.20498 | + | 5.78765i | −0.238827 | + | 0.328717i | ||||
\(311\) | 17.8028 | + | 5.78448i | 1.00950 | + | 0.328008i | 0.766657 | − | 0.642057i | \(-0.221919\pi\) |
0.242847 | + | 0.970065i | \(0.421919\pi\) | |||||||
\(312\) | −2.15786 | − | 6.64120i | −0.122165 | − | 0.375984i | ||||
\(313\) | −3.10702 | − | 4.27645i | −0.175619 | − | 0.241719i | 0.712129 | − | 0.702049i | \(-0.247731\pi\) |
−0.887748 | + | 0.460330i | \(0.847731\pi\) | |||||||
\(314\) | −8.30717 | + | 6.03551i | −0.468801 | + | 0.340604i | ||||
\(315\) | −25.6775 | − | 27.8862i | −1.44676 | − | 1.57121i | ||||
\(316\) | 18.2966 | + | 5.94491i | 1.02926 | + | 0.334427i | ||||
\(317\) | 23.2626 | + | 16.9013i | 1.30656 | + | 0.949269i | 0.999997 | − | 0.00258214i | \(-0.000821923\pi\) |
0.306560 | + | 0.951851i | \(0.400822\pi\) | |||||||
\(318\) | −1.92721 | −0.108072 | ||||||||
\(319\) | 4.04460 | − | 5.43537i | 0.226454 | − | 0.304322i | ||||
\(320\) | 3.22297i | 0.180169i | ||||||||
\(321\) | 22.6545 | + | 16.4594i | 1.26445 | + | 0.918676i | ||||
\(322\) | −0.587363 | − | 5.04653i | −0.0327325 | − | 0.281232i | ||||
\(323\) | 1.60616 | + | 4.94325i | 0.0893690 | + | 0.275050i | ||||
\(324\) | 6.03115 | − | 4.38188i | 0.335064 | − | 0.243438i | ||||
\(325\) | 6.78304 | − | 4.92817i | 0.376255 | − | 0.273365i | ||||
\(326\) | 13.4593 | − | 4.37320i | 0.745442 | − | 0.242209i | ||||
\(327\) | 2.49745 | − | 7.68638i | 0.138110 | − | 0.425058i | ||||
\(328\) | −7.71098 | + | 10.6132i | −0.425767 | + | 0.586019i | ||||
\(329\) | −16.4219 | + | 7.53196i | −0.905367 | + | 0.415250i | ||||
\(330\) | 20.0565 | − | 6.26461i | 1.10407 | − | 0.344855i | ||||
\(331\) | 12.2266 | 0.672035 | 0.336017 | − | 0.941856i | \(-0.390920\pi\) | ||||
0.336017 | + | 0.941856i | \(0.390920\pi\) | |||||||
\(332\) | 2.02620 | + | 1.47212i | 0.111202 | + | 0.0807930i | ||||
\(333\) | −3.44490 | + | 10.6023i | −0.188779 | + | 0.581003i | ||||
\(334\) | −5.33730 | + | 1.73419i | −0.292044 | + | 0.0948909i | ||||
\(335\) | 1.02200 | + | 1.40666i | 0.0558379 | + | 0.0768542i | ||||
\(336\) | −5.12314 | + | 9.10650i | −0.279490 | + | 0.496800i | ||||
\(337\) | −34.3180 | + | 11.1506i | −1.86942 | + | 0.607412i | −0.877665 | + | 0.479274i | \(0.840900\pi\) |
−0.991756 | + | 0.128138i | \(0.959100\pi\) | |||||||
\(338\) | 7.54003 | + | 2.44990i | 0.410123 | + | 0.133257i | ||||
\(339\) | −11.3149 | + | 15.5736i | −0.614539 | + | 0.845841i | ||||
\(340\) | 22.9216i | 1.24310i | ||||||||
\(341\) | 0.113370 | − | 9.93363i | 0.00613935 | − | 0.537936i | ||||
\(342\) | − | 3.38230i | − | 0.182894i | ||||||
\(343\) | 11.3809 | + | 14.6108i | 0.614509 | + | 0.788910i | ||||
\(344\) | 1.27744 | − | 3.93155i | 0.0688748 | − | 0.211975i | ||||
\(345\) | −8.30477 | − | 25.5595i | −0.447114 | − | 1.37608i | ||||
\(346\) | 6.35082 | + | 8.74115i | 0.341422 | + | 0.469927i | ||||
\(347\) | 16.1695 | + | 22.2554i | 0.868022 | + | 1.19473i | 0.979597 | + | 0.200974i | \(0.0644108\pi\) |
−0.111574 | + | 0.993756i | \(0.535589\pi\) | |||||||
\(348\) | −2.59089 | − | 7.97394i | −0.138886 | − | 0.427448i | ||||
\(349\) | 4.36532 | − | 13.4351i | 0.233670 | − | 0.719164i | −0.763625 | − | 0.645661i | \(-0.776582\pi\) |
0.997295 | − | 0.0735032i | \(-0.0234179\pi\) | |||||||
\(350\) | 13.2660 | + | 2.66557i | 0.709099 | + | 0.142480i | ||||
\(351\) | 3.03156i | 0.161812i | ||||||||
\(352\) | −11.0808 | − | 15.6232i | −0.590607 | − | 0.832722i | ||||
\(353\) | 8.23958i | 0.438549i | 0.975663 | + | 0.219274i | \(0.0703690\pi\) | ||||
−0.975663 | + | 0.219274i | \(0.929631\pi\) | |||||||
\(354\) | −2.40204 | + | 3.30613i | −0.127667 | + | 0.175719i | ||||
\(355\) | −34.4570 | − | 11.1958i | −1.82879 | − | 0.594209i | ||||
\(356\) | 3.39915 | − | 1.10445i | 0.180154 | − | 0.0585357i | ||||
\(357\) | 14.3598 | − | 25.5249i | 0.760001 | − | 1.35092i | ||||
\(358\) | 2.91390 | + | 4.01064i | 0.154004 | + | 0.211969i | ||||
\(359\) | −28.4596 | + | 9.24708i | −1.50204 | + | 0.488042i | −0.940612 | − | 0.339484i | \(-0.889748\pi\) |
−0.561427 | + | 0.827526i | \(0.689748\pi\) | |||||||
\(360\) | 10.5671 | − | 32.5221i | 0.556933 | − | 1.71406i | ||||
\(361\) | 14.1163 | + | 10.2561i | 0.742963 | + | 0.539794i | ||||
\(362\) | 9.74145 | 0.511999 | ||||||||
\(363\) | −17.6849 | + | 23.2082i | −0.928214 | + | 1.21811i | ||||
\(364\) | 1.88249 | + | 4.10438i | 0.0986692 | + | 0.215128i | ||||
\(365\) | 26.1393 | − | 35.9777i | 1.36819 | − | 1.88316i | ||||
\(366\) | −7.36353 | + | 22.6626i | −0.384898 | + | 1.18459i | ||||
\(367\) | −4.40784 | + | 1.43219i | −0.230087 | + | 0.0747599i | −0.421792 | − | 0.906693i | \(-0.638599\pi\) |
0.191704 | + | 0.981453i | \(0.438599\pi\) | |||||||
\(368\) | −3.43773 | + | 2.49766i | −0.179204 | + | 0.130199i | ||||
\(369\) | 17.9481 | − | 13.0401i | 0.934341 | − | 0.678839i | ||||
\(370\) | −2.03852 | − | 6.27391i | −0.105977 | − | 0.326165i | ||||
\(371\) | 2.83786 | − | 0.330297i | 0.147335 | − | 0.0171482i | ||||
\(372\) | −9.94591 | − | 7.22613i | −0.515672 | − | 0.374657i | ||||
\(373\) | 15.2702i | 0.790662i | 0.918539 | + | 0.395331i | \(0.129370\pi\) | ||||
−0.918539 | + | 0.395331i | \(0.870630\pi\) | |||||||
\(374\) | 5.38721 | + | 7.59566i | 0.278566 | + | 0.392762i | ||||
\(375\) | 24.4947 | 1.26490 | ||||||||
\(376\) | −13.1852 | − | 9.57959i | −0.679973 | − | 0.494030i | ||||
\(377\) | −2.14290 | − | 0.696271i | −0.110365 | − | 0.0358598i | ||||
\(378\) | −3.59915 | + | 3.31408i | −0.185120 | + | 0.170458i | ||||
\(379\) | −18.4125 | + | 13.3775i | −0.945788 | + | 0.687155i | −0.949807 | − | 0.312837i | \(-0.898721\pi\) |
0.00401892 | + | 0.999992i | \(0.498721\pi\) | |||||||
\(380\) | −4.02120 | − | 5.53471i | −0.206283 | − | 0.283924i | ||||
\(381\) | 5.02451 | + | 15.4638i | 0.257413 | + | 0.792237i | ||||
\(382\) | −1.01706 | − | 0.330464i | −0.0520375 | − | 0.0169080i | ||||
\(383\) | −16.9956 | + | 23.3924i | −0.868432 | + | 1.19529i | 0.111060 | + | 0.993814i | \(0.464575\pi\) |
−0.979493 | + | 0.201481i | \(0.935425\pi\) | |||||||
\(384\) | −29.0174 | −1.48079 | ||||||||
\(385\) | −28.4600 | + | 12.6622i | −1.45046 | + | 0.645326i | ||||
\(386\) | −7.53765 | −0.383656 | ||||||||
\(387\) | −4.10910 | + | 5.65569i | −0.208877 | + | 0.287495i | ||||
\(388\) | −18.6424 | − | 6.05729i | −0.946425 | − | 0.307512i | ||||
\(389\) | −6.78802 | − | 20.8914i | −0.344166 | − | 1.05923i | −0.962029 | − | 0.272948i | \(-0.912001\pi\) |
0.617863 | − | 0.786286i | \(-0.287999\pi\) | |||||||
\(390\) | −4.10740 | − | 5.65336i | −0.207987 | − | 0.286269i | ||||
\(391\) | 9.63572 | − | 7.00076i | 0.487299 | − | 0.354044i | ||||
\(392\) | −6.45333 | + | 15.4102i | −0.325942 | + | 0.778332i | ||||
\(393\) | 47.5000 | + | 15.4337i | 2.39606 | + | 0.778526i | ||||
\(394\) | −8.18326 | − | 5.94549i | −0.412267 | − | 0.299529i | ||||
\(395\) | 44.1359 | 2.22072 | ||||||||
\(396\) | 6.17544 | + | 19.7710i | 0.310328 | + | 0.993530i | ||||
\(397\) | − | 3.02008i | − | 0.151573i | −0.997124 | − | 0.0757866i | \(-0.975853\pi\) | ||
0.997124 | − | 0.0757866i | \(-0.0241468\pi\) | |||||||
\(398\) | 11.9452 | + | 8.67872i | 0.598761 | + | 0.435025i | ||||
\(399\) | 1.01055 | + | 8.68248i | 0.0505907 | + | 0.434667i | ||||
\(400\) | −3.49718 | − | 10.7632i | −0.174859 | − | 0.538160i | ||||
\(401\) | −6.37835 | + | 4.63414i | −0.318519 | + | 0.231418i | −0.735543 | − | 0.677478i | \(-0.763073\pi\) |
0.417024 | + | 0.908895i | \(0.363073\pi\) | |||||||
\(402\) | 0.707206 | − | 0.513815i | 0.0352722 | − | 0.0256268i | ||||
\(403\) | −3.14212 | + | 1.02094i | −0.156520 | + | 0.0508565i | ||||
\(404\) | −1.51405 | + | 4.65977i | −0.0753269 | + | 0.231832i | ||||
\(405\) | 10.0529 | − | 13.8366i | 0.499531 | − | 0.687545i | ||||
\(406\) | −1.51598 | − | 3.30527i | −0.0752366 | − | 0.164038i | ||||
\(407\) | 7.34914 | + | 5.46868i | 0.364283 | + | 0.271073i | ||||
\(408\) | 26.4193 | 1.30795 | ||||||||
\(409\) | 21.4766 | + | 15.6036i | 1.06195 | + | 0.771551i | 0.974448 | − | 0.224614i | \(-0.0721121\pi\) |
0.0875004 | + | 0.996164i | \(0.472112\pi\) | |||||||
\(410\) | −4.05678 | + | 12.4855i | −0.200350 | + | 0.616614i | ||||
\(411\) | −7.46578 | + | 2.42578i | −0.368260 | + | 0.119655i | ||||
\(412\) | 8.85135 | + | 12.1828i | 0.436075 | + | 0.600205i | ||||
\(413\) | 2.97045 | − | 5.28004i | 0.146166 | − | 0.259814i | ||||
\(414\) | −7.37122 | + | 2.39505i | −0.362276 | + | 0.117711i | ||||
\(415\) | 5.46461 | + | 1.77556i | 0.268247 | + | 0.0871587i | ||||
\(416\) | −3.74416 | + | 5.15339i | −0.183573 | + | 0.252666i | ||||
\(417\) | − | 39.1877i | − | 1.91903i | ||||||
\(418\) | −2.63334 | − | 0.888973i | −0.128801 | − | 0.0434811i | ||||
\(419\) | − | 7.28466i | − | 0.355879i | −0.984041 | − | 0.177940i | \(-0.943057\pi\) | ||
0.984041 | − | 0.177940i | \(-0.0569431\pi\) | |||||||
\(420\) | −7.59378 | + | 37.7929i | −0.370539 | + | 1.84410i | ||||
\(421\) | −7.35587 | + | 22.6390i | −0.358503 | + | 1.10336i | 0.595447 | + | 0.803394i | \(0.296975\pi\) |
−0.953950 | + | 0.299965i | \(0.903025\pi\) | |||||||
\(422\) | −2.98769 | − | 9.19516i | −0.145438 | − | 0.447613i | ||||
\(423\) | 16.2001 | + | 22.2975i | 0.787675 | + | 1.08414i | ||||
\(424\) | 1.51489 | + | 2.08506i | 0.0735694 | + | 0.101260i | ||||
\(425\) | 9.80234 | + | 30.1685i | 0.475483 | + | 1.46339i | ||||
\(426\) | −5.62871 | + | 17.3234i | −0.272712 | + | 0.839322i | ||||
\(427\) | 6.95893 | − | 34.6333i | 0.336766 | − | 1.67602i | ||||
\(428\) | − | 16.3346i | − | 0.789562i | ||||||
\(429\) | 9.19401 | + | 3.10375i | 0.443891 | + | 0.149851i | ||||
\(430\) | − | 4.13681i | − | 0.199495i | ||||||
\(431\) | −0.376421 | + | 0.518099i | −0.0181316 | + | 0.0249560i | −0.817987 | − | 0.575237i | \(-0.804910\pi\) |
0.799855 | + | 0.600193i | \(0.204910\pi\) | |||||||
\(432\) | 3.89171 | + | 1.26449i | 0.187240 | + | 0.0608380i | ||||
\(433\) | −16.3786 | + | 5.32173i | −0.787105 | + | 0.255746i | −0.674871 | − | 0.737936i | \(-0.735801\pi\) |
−0.112234 | + | 0.993682i | \(0.535801\pi\) | |||||||
\(434\) | −4.64703 | − | 2.61433i | −0.223065 | − | 0.125492i | ||||
\(435\) | −11.3061 | − | 15.5616i | −0.542087 | − | 0.746119i | ||||
\(436\) | −4.48367 | + | 1.45683i | −0.214729 | + | 0.0697696i | ||||
\(437\) | −1.09850 | + | 3.38084i | −0.0525485 | + | 0.161728i | ||||
\(438\) | −18.0879 | − | 13.1417i | −0.864275 | − | 0.627933i | ||||
\(439\) | −0.0381286 | −0.00181978 | −0.000909889 | − | 1.00000i | \(-0.500290\pi\) | ||||
−0.000909889 | 1.00000i | \(0.500290\pi\) | ||||||||
\(440\) | −22.5432 | − | 16.7749i | −1.07470 | − | 0.799714i | ||||
\(441\) | 18.4322 | − | 21.4124i | 0.877722 | − | 1.01964i | ||||
\(442\) | 1.82032 | − | 2.50546i | 0.0865840 | − | 0.119173i | ||||
\(443\) | 9.46891 | − | 29.1423i | 0.449881 | − | 1.38459i | −0.427159 | − | 0.904176i | \(-0.640486\pi\) |
0.877041 | − | 0.480416i | \(-0.159514\pi\) | |||||||
\(444\) | 10.7815 | − | 3.50313i | 0.511669 | − | 0.166251i | ||||
\(445\) | 6.63361 | − | 4.81960i | 0.314463 | − | 0.228471i | ||||
\(446\) | 9.64663 | − | 7.00869i | 0.456781 | − | 0.331871i | ||||
\(447\) | −6.15770 | − | 18.9515i | −0.291249 | − | 0.896374i | ||||
\(448\) | −2.38602 | + | 0.277708i | −0.112729 | + | 0.0131205i | ||||
\(449\) | 23.8836 | + | 17.3525i | 1.12714 | + | 0.818913i | 0.985276 | − | 0.170974i | \(-0.0546913\pi\) |
0.141861 | + | 0.989887i | \(0.454691\pi\) | |||||||
\(450\) | − | 20.6421i | − | 0.973078i | ||||||
\(451\) | −5.43520 | − | 17.4011i | −0.255934 | − | 0.819384i | ||||
\(452\) | 11.2290 | 0.528170 | ||||||||
\(453\) | −27.3149 | − | 19.8454i | −1.28337 | − | 0.932420i | ||||
\(454\) | −2.62437 | − | 0.852711i | −0.123168 | − | 0.0400197i | ||||
\(455\) | 7.01717 | + | 7.62077i | 0.328970 | + | 0.357267i | ||||
\(456\) | −6.37927 | + | 4.63481i | −0.298737 | + | 0.217045i | ||||
\(457\) | −2.49683 | − | 3.43660i | −0.116797 | − | 0.160757i | 0.746616 | − | 0.665256i | \(-0.231677\pi\) |
−0.863413 | + | 0.504498i | \(0.831677\pi\) | |||||||
\(458\) | −2.03780 | − | 6.27169i | −0.0952200 | − | 0.293057i | ||||
\(459\) | −10.9082 | − | 3.54428i | −0.509151 | − | 0.165433i | ||||
\(460\) | −9.21459 | + | 12.6828i | −0.429633 | + | 0.591339i | ||||
\(461\) | −11.8930 | −0.553913 | −0.276957 | − | 0.960882i | \(-0.589326\pi\) | ||||
−0.276957 | + | 0.960882i | \(0.589326\pi\) | |||||||
\(462\) | 6.36598 | + | 14.3084i | 0.296172 | + | 0.665686i | ||||
\(463\) | 29.5007 | 1.37102 | 0.685508 | − | 0.728066i | \(-0.259580\pi\) | ||||
0.685508 | + | 0.728066i | \(0.259580\pi\) | |||||||
\(464\) | −1.78765 | + | 2.46049i | −0.0829897 | + | 0.114226i | ||||
\(465\) | −26.8239 | − | 8.71562i | −1.24393 | − | 0.404177i | ||||
\(466\) | −0.0211991 | − | 0.0652440i | −0.000982028 | − | 0.00302237i | ||||
\(467\) | −6.55321 | − | 9.01971i | −0.303246 | − | 0.417383i | 0.630014 | − | 0.776584i | \(-0.283049\pi\) |
−0.933260 | + | 0.359201i | \(0.883049\pi\) | |||||||
\(468\) | 5.57289 | − | 4.04894i | 0.257607 | − | 0.187162i | ||||
\(469\) | −0.953318 | + | 0.877812i | −0.0440202 | + | 0.0405336i | ||||
\(470\) | −15.5111 | − | 5.03986i | −0.715474 | − | 0.232472i | ||||
\(471\) | −32.7509 | − | 23.7950i | −1.50908 | − | 1.09641i | ||||
\(472\) | 5.46506 | 0.251550 | ||||||||
\(473\) | 3.32331 | + | 4.68568i | 0.152806 | + | 0.215448i | ||||
\(474\) | − | 22.1895i | − | 1.01920i | ||||||
\(475\) | −7.65943 | − | 5.56491i | −0.351439 | − | 0.255335i | ||||
\(476\) | −16.9693 | + | 1.97505i | −0.777786 | + | 0.0905261i | ||||
\(477\) | −1.34683 | − | 4.14513i | −0.0616673 | − | 0.189792i | ||||
\(478\) | 3.33981 | − | 2.42651i | 0.152759 | − | 0.110986i | ||||
\(479\) | 9.16744 | − | 6.66053i | 0.418871 | − | 0.304328i | −0.358312 | − | 0.933602i | \(-0.616648\pi\) |
0.777183 | + | 0.629274i | \(0.216648\pi\) | |||||||
\(480\) | −51.7180 | + | 16.8042i | −2.36059 | + | 0.767003i | ||||
\(481\) | 0.941425 | − | 2.89741i | 0.0429253 | − | 0.132110i | ||||
\(482\) | 1.70670 | − | 2.34906i | 0.0777378 | − | 0.106997i | ||||
\(483\) | 18.2066 | − | 8.35052i | 0.828427 | − | 0.379962i | ||||
\(484\) | 17.0161 | + | 0.388452i | 0.773458 | + | 0.0176569i | ||||
\(485\) | −44.9702 | −2.04199 | ||||||||
\(486\) | −11.4445 | − | 8.31493i | −0.519134 | − | 0.377173i | ||||
\(487\) | 4.79157 | − | 14.7469i | 0.217127 | − | 0.668247i | −0.781869 | − | 0.623443i | \(-0.785733\pi\) |
0.998996 | − | 0.0448045i | \(-0.0142665\pi\) | |||||||
\(488\) | 30.3070 | − | 9.84733i | 1.37193 | − | 0.445768i | ||||
\(489\) | 32.7949 | + | 45.1383i | 1.48304 | + | 2.04122i | ||||
\(490\) | −1.37645 | + | 16.6620i | −0.0621816 | + | 0.752711i | ||||
\(491\) | 9.89934 | − | 3.21649i | 0.446751 | − | 0.145158i | −0.0769971 | − | 0.997031i | \(-0.524533\pi\) |
0.523748 | + | 0.851873i | \(0.324533\pi\) | |||||||
\(492\) | −21.4559 | − | 6.97145i | −0.967308 | − | 0.314297i | ||||
\(493\) | 5.01066 | − | 6.89659i | 0.225669 | − | 0.310607i | ||||
\(494\) | 0.924319i | 0.0415871i | ||||||||
\(495\) | 27.4907 | + | 38.7603i | 1.23562 | + | 1.74215i | ||||
\(496\) | 4.45949i | 0.200237i | ||||||||
\(497\) | 5.31943 | − | 26.4739i | 0.238609 | − | 1.18751i | ||||
\(498\) | 0.892669 | − | 2.74735i | 0.0400015 | − | 0.123112i | ||||
\(499\) | −7.17506 | − | 22.0826i | −0.321200 | − | 0.988551i | −0.973127 | − | 0.230269i | \(-0.926039\pi\) |
0.651927 | − | 0.758282i | \(-0.273961\pi\) | |||||||
\(500\) | −8.39854 | − | 11.5596i | −0.375594 | − | 0.516961i | ||||
\(501\) | −13.0048 | − | 17.8996i | −0.581013 | − | 0.799696i | ||||
\(502\) | 6.38166 | + | 19.6407i | 0.284828 | + | 0.876609i | ||||
\(503\) | 0.357335 | − | 1.09976i | 0.0159328 | − | 0.0490360i | −0.942774 | − | 0.333432i | \(-0.891793\pi\) |
0.958707 | + | 0.284396i | \(0.0917931\pi\) | |||||||
\(504\) | 24.9872 | + | 5.02072i | 1.11302 | + | 0.223641i | ||||
\(505\) | 11.2405i | 0.500197i | ||||||||
\(506\) | −0.0726818 | + | 6.36846i | −0.00323110 | + | 0.283112i | ||||
\(507\) | 31.2563i | 1.38814i | ||||||||
\(508\) | 5.57496 | − | 7.67328i | 0.247349 | − | 0.340447i | ||||
\(509\) | 16.9599 | + | 5.51060i | 0.751734 | + | 0.244253i | 0.659727 | − | 0.751505i | \(-0.270672\pi\) |
0.0920067 | + | 0.995758i | \(0.470672\pi\) | |||||||
\(510\) | 25.1441 | − | 8.16981i | 1.11340 | − | 0.361765i | ||||
\(511\) | 28.8873 | + | 16.2514i | 1.27790 | + | 0.718920i | ||||
\(512\) | 9.23111 | + | 12.7055i | 0.407961 | + | 0.561510i | ||||
\(513\) | 3.25570 | − | 1.05784i | 0.143743 | − | 0.0467048i | ||||
\(514\) | −1.39981 | + | 4.30817i | −0.0617430 | + | 0.190025i | ||||
\(515\) | 27.9497 | + | 20.3066i | 1.23161 | + | 0.894818i | ||||
\(516\) | 7.10899 | 0.312956 | ||||||||
\(517\) | 21.6179 | − | 6.75232i | 0.950754 | − | 0.296967i | ||||
\(518\) | 4.46905 | − | 2.04975i | 0.196359 | − | 0.0900607i | ||||
\(519\) | −25.0381 | + | 34.4619i | −1.09905 | + | 1.51271i | ||||
\(520\) | −2.88778 | + | 8.88767i | −0.126637 | + | 0.389750i | ||||
\(521\) | −34.1579 | + | 11.0986i | −1.49649 | + | 0.486238i | −0.938991 | − | 0.343943i | \(-0.888237\pi\) |
−0.557495 | + | 0.830180i | \(0.688237\pi\) | |||||||
\(522\) | −4.48787 | + | 3.26063i | −0.196429 | + | 0.142714i | ||||
\(523\) | 7.97894 | − | 5.79704i | 0.348895 | − | 0.253487i | −0.399511 | − | 0.916729i | \(-0.630820\pi\) |
0.748405 | + | 0.663242i | \(0.230820\pi\) | |||||||
\(524\) | −9.00288 | − | 27.7080i | −0.393293 | − | 1.21043i | ||||
\(525\) | 6.16735 | + | 52.9889i | 0.269165 | + | 2.31262i | ||||
\(526\) | 13.3065 | + | 9.66770i | 0.580189 | + | 0.421532i | ||||
\(527\) | − | 12.4996i | − | 0.544492i | ||||||
\(528\) | 7.81931 | − | 10.5080i | 0.340292 | − | 0.457304i | ||||
\(529\) | −14.8541 | −0.645831 | ||||||||
\(530\) | 2.08654 | + | 1.51596i | 0.0906336 | + | 0.0658491i | ||||
\(531\) | −8.78965 | − | 2.85593i | −0.381439 | − | 0.123937i | ||||
\(532\) | 3.75096 | − | 3.45387i | 0.162625 | − | 0.149744i | ||||
\(533\) | −4.90488 | + | 3.56360i | −0.212454 | + | 0.154357i | ||||
\(534\) | −2.42307 | − | 3.33507i | −0.104857 | − | 0.144323i | ||||
\(535\) | −11.5803 | − | 35.6405i | −0.500659 | − | 1.54087i | ||||
\(536\) | −1.11180 | − | 0.361246i | −0.0480225 | − | 0.0156035i | ||||
\(537\) | −11.4880 | + | 15.8119i | −0.495745 | + | 0.682334i | ||||
\(538\) | 17.0356 | 0.734459 | ||||||||
\(539\) | −11.8263 | − | 19.9784i | −0.509396 | − | 0.860532i | ||||
\(540\) | 15.0965 | 0.649651 | ||||||||
\(541\) | 12.1252 | − | 16.6890i | 0.521305 | − | 0.717515i | −0.464469 | − | 0.885589i | \(-0.653755\pi\) |
0.985774 | + | 0.168074i | \(0.0537549\pi\) | |||||||
\(542\) | −17.4951 | − | 5.68450i | −0.751478 | − | 0.244170i | ||||
\(543\) | 11.8680 | + | 36.5259i | 0.509304 | + | 1.56748i | ||||
\(544\) | −14.1656 | − | 19.4973i | −0.607345 | − | 0.835939i | ||||
\(545\) | −8.75012 | + | 6.35733i | −0.374814 | + | 0.272318i | ||||
\(546\) | 3.83137 | − | 3.52791i | 0.163968 | − | 0.150981i | ||||
\(547\) | −27.4543 | − | 8.92046i | −1.17386 | − | 0.381411i | −0.343780 | − | 0.939050i | \(-0.611707\pi\) |
−0.830083 | + | 0.557639i | \(0.811707\pi\) | |||||||
\(548\) | 3.70458 | + | 2.69153i | 0.158252 | + | 0.114977i | ||||
\(549\) | −53.8898 | −2.29996 | ||||||||
\(550\) | −16.0712 | − | 5.42538i | −0.685277 | − | 0.231339i | ||||
\(551\) | 2.54430i | 0.108391i | ||||||||
\(552\) | 14.6181 | + | 10.6207i | 0.622188 | + | 0.452046i | ||||
\(553\) | 3.80298 | + | 32.6746i | 0.161719 | + | 1.38947i | ||||
\(554\) | −4.66117 | − | 14.3456i | −0.198034 | − | 0.609486i | ||||
\(555\) | 21.0407 | − | 15.2870i | 0.893129 | − | 0.648896i | ||||
\(556\) | −18.4935 | + | 13.4363i | −0.784300 | + | 0.569827i | ||||
\(557\) | 13.8348 | − | 4.49519i | 0.586198 | − | 0.190467i | −0.000877247 | − | 1.00000i | \(-0.500279\pi\) |
0.587075 | + | 0.809532i | \(0.300279\pi\) | |||||||
\(558\) | −2.51354 | + | 7.73588i | −0.106407 | + | 0.327486i | ||||
\(559\) | 1.12294 | − | 1.54559i | 0.0474952 | − | 0.0653715i | ||||
\(560\) | 12.7100 | − | 5.82948i | 0.537094 | − | 0.246340i | ||||
\(561\) | −21.9170 | + | 29.4533i | −0.925335 | + | 1.24352i | ||||
\(562\) | 14.4771 | 0.610681 | ||||||||
\(563\) | −4.88979 | − | 3.55264i | −0.206080 | − | 0.149726i | 0.479958 | − | 0.877291i | \(-0.340652\pi\) |
−0.686038 | + | 0.727565i | \(0.740652\pi\) | |||||||
\(564\) | 8.66086 | − | 26.6554i | 0.364688 | − | 1.12239i | ||||
\(565\) | 24.5007 | − | 7.96075i | 1.03075 | − | 0.334911i | ||||
\(566\) | −12.2372 | − | 16.8430i | −0.514367 | − | 0.707966i | ||||
\(567\) | 11.1097 | + | 6.25009i | 0.466563 | + | 0.262479i | ||||
\(568\) | 23.1668 | − | 7.52735i | 0.972057 | − | 0.315840i | ||||
\(569\) | 12.4651 | + | 4.05014i | 0.522563 | + | 0.169791i | 0.558408 | − | 0.829566i | \(-0.311412\pi\) |
−0.0358454 | + | 0.999357i | \(0.511412\pi\) | |||||||
\(570\) | −4.63810 | + | 6.38380i | −0.194269 | + | 0.267388i | ||||
\(571\) | − | 14.5264i | − | 0.607910i | −0.952686 | − | 0.303955i | \(-0.901693\pi\) | ||
0.952686 | − | 0.303955i | \(-0.0983073\pi\) | |||||||
\(572\) | −1.68763 | − | 5.40304i | −0.0705634 | − | 0.225912i | ||||
\(573\) | − | 4.21612i | − | 0.176131i | ||||||
\(574\) | −9.59279 | − | 1.92749i | −0.400395 | − | 0.0804521i | ||||
\(575\) | −6.70412 | + | 20.6332i | −0.279581 | + | 0.860463i | ||||
\(576\) | 1.13239 | + | 3.48515i | 0.0471830 | + | 0.145214i | ||||
\(577\) | −16.1519 | − | 22.2313i | −0.672414 | − | 0.925499i | 0.327398 | − | 0.944887i | \(-0.393828\pi\) |
−0.999812 | + | 0.0193876i | \(0.993828\pi\) | |||||||
\(578\) | 0.163972 | + | 0.225688i | 0.00682033 | + | 0.00938738i | ||||
\(579\) | −9.18310 | − | 28.2627i | −0.381636 | − | 1.17456i | ||||
\(580\) | −3.46729 | + | 10.6712i | −0.143971 | + | 0.443098i | ||||
\(581\) | −0.843620 | + | 4.19854i | −0.0349993 | + | 0.174185i | ||||
\(582\) | 22.6089i | 0.937171i | ||||||||
\(583\) | −3.58123 | − | 0.0408718i | −0.148320 | − | 0.00169274i | ||||
\(584\) | 29.8995i | 1.23725i | ||||||||
\(585\) | 9.28903 | − | 12.7853i | 0.384054 | − | 0.528605i | ||||
\(586\) | 15.9018 | + | 5.16681i | 0.656897 | + | 0.213439i | ||||
\(587\) | −13.6082 | + | 4.42157i | −0.561670 | + | 0.182498i | −0.576072 | − | 0.817399i | \(-0.695415\pi\) |
0.0144024 | + | 0.999896i | \(0.495415\pi\) | |||||||
\(588\) | −28.6331 | − | 2.36539i | −1.18081 | − | 0.0975469i | ||||
\(589\) | 2.19284 | + | 3.01819i | 0.0903545 | + | 0.124362i | ||||
\(590\) | 5.20127 | − | 1.69000i | 0.214133 | − | 0.0695760i | ||||
\(591\) | 12.3232 | − | 37.9268i | 0.506907 | − | 1.56010i | ||||
\(592\) | −3.32682 | − | 2.41708i | −0.136732 | − | 0.0993413i | ||||
\(593\) | 31.8607 | 1.30836 | 0.654181 | − | 0.756338i | \(-0.273013\pi\) | ||||
0.654181 | + | 0.756338i | \(0.273013\pi\) | |||||||
\(594\) | 5.00262 | − | 3.54810i | 0.205260 | − | 0.145580i | ||||
\(595\) | −35.6251 | + | 16.3396i | −1.46049 | + | 0.669859i | ||||
\(596\) | −6.83231 | + | 9.40386i | −0.279862 | + | 0.385197i | ||||
\(597\) | −17.9883 | + | 55.3623i | −0.736213 | + | 2.26583i | ||||
\(598\) | 2.01441 | − | 0.654523i | 0.0823755 | − | 0.0267654i | ||||
\(599\) | −18.2421 | + | 13.2537i | −0.745353 | + | 0.541530i | −0.894383 | − | 0.447302i | \(-0.852385\pi\) |
0.149030 | + | 0.988833i | \(0.452385\pi\) | |||||||
\(600\) | −38.9325 | + | 28.2861i | −1.58941 | + | 1.15478i | ||||
\(601\) | 8.94747 | + | 27.5375i | 0.364975 | + | 1.12328i | 0.949997 | + | 0.312259i | \(0.101086\pi\) |
−0.585022 | + | 0.811017i | \(0.698914\pi\) | |||||||
\(602\) | 3.06256 | − | 0.356449i | 0.124821 | − | 0.0145278i | ||||
\(603\) | 1.59937 | + | 1.16201i | 0.0651314 | + | 0.0473207i | ||||
\(604\) | 19.6949i | 0.801374i | ||||||||
\(605\) | 37.4028 | − | 11.2159i | 1.52064 | − | 0.455989i | ||||
\(606\) | 5.65123 | 0.229565 | ||||||||
\(607\) | −22.9777 | − | 16.6942i | −0.932634 | − | 0.677598i | 0.0140022 | − | 0.999902i | \(-0.495543\pi\) |
−0.946636 | + | 0.322304i | \(0.895543\pi\) | |||||||
\(608\) | 6.84092 | + | 2.22275i | 0.277436 | + | 0.0901444i | ||||
\(609\) | 10.5463 | − | 9.71101i | 0.427358 | − | 0.393510i | ||||
\(610\) | 25.7990 | − | 18.7440i | 1.04457 | − | 0.758924i | ||||
\(611\) | −4.42717 | − | 6.09348i | −0.179104 | − | 0.246516i | ||||
\(612\) | 8.05353 | + | 24.7862i | 0.325545 | + | 1.00192i | ||||
\(613\) | 16.1897 | + | 5.26034i | 0.653895 | + | 0.212463i | 0.617131 | − | 0.786861i | \(-0.288295\pi\) |
0.0367640 | + | 0.999324i | \(0.488295\pi\) | |||||||
\(614\) | −3.95587 | + | 5.44478i | −0.159646 | + | 0.219734i | ||||
\(615\) | −51.7571 | −2.08705 | ||||||||
\(616\) | 10.4764 | − | 18.1345i | 0.422105 | − | 0.730661i | ||||
\(617\) | 19.0794 | 0.768109 | 0.384055 | − | 0.923310i | \(-0.374527\pi\) | ||||
0.384055 | + | 0.923310i | \(0.374527\pi\) | |||||||
\(618\) | 10.2092 | − | 14.0518i | 0.410676 | − | 0.565247i | ||||
\(619\) | 21.5048 | + | 6.98735i | 0.864353 | + | 0.280845i | 0.707445 | − | 0.706768i | \(-0.249848\pi\) |
0.156907 | + | 0.987613i | \(0.449848\pi\) | |||||||
\(620\) | 5.08406 | + | 15.6471i | 0.204181 | + | 0.628403i | ||||
\(621\) | −4.61081 | − | 6.34624i | −0.185025 | − | 0.254666i | ||||
\(622\) | −10.1891 | + | 7.40282i | −0.408546 | + | 0.296826i | ||||
\(623\) | 4.13963 | + | 4.49570i | 0.165851 | + | 0.180117i | ||||
\(624\) | −4.14281 | − | 1.34608i | −0.165845 | − | 0.0538864i | ||||
\(625\) | 4.22819 | + | 3.07196i | 0.169128 | + | 0.122878i | ||||
\(626\) | 3.55649 | 0.142146 | ||||||||
\(627\) | 0.125048 | − | 10.9568i | 0.00499393 | − | 0.437573i | ||||
\(628\) | 23.6145i | 0.942320i | ||||||||
\(629\) | 9.32485 | + | 6.77490i | 0.371806 | + | 0.270133i | ||||
\(630\) | 25.3337 | − | 2.94858i | 1.00932 | − | 0.117474i | ||||
\(631\) | −2.03699 | − | 6.26920i | −0.0810912 | − | 0.249573i | 0.902289 | − | 0.431132i | \(-0.141886\pi\) |
−0.983380 | + | 0.181559i | \(0.941886\pi\) | |||||||
\(632\) | −24.0070 | + | 17.4421i | −0.954947 | + | 0.693810i | ||||
\(633\) | 30.8377 | − | 22.4049i | 1.22569 | − | 0.890514i | ||||
\(634\) | −18.3994 | + | 5.97832i | −0.730733 | + | 0.237429i | ||||
\(635\) | 6.72410 | − | 20.6947i | 0.266838 | − | 0.821242i | ||||
\(636\) | −2.60514 | + | 3.58566i | −0.103300 | + | 0.142181i | ||||
\(637\) | −5.03716 | + | 5.85159i | −0.199580 | + | 0.231848i | ||||
\(638\) | 1.35906 | + | 4.35109i | 0.0538056 | + | 0.172261i | ||||
\(639\) | −41.1936 | −1.62959 | ||||||||
\(640\) | 31.4164 | + | 22.8254i | 1.24184 | + | 0.902252i | ||||
\(641\) | 3.20002 | − | 9.84866i | 0.126393 | − | 0.388999i | −0.867759 | − | 0.496985i | \(-0.834440\pi\) |
0.994152 | + | 0.107987i | \(0.0344404\pi\) | |||||||
\(642\) | −17.9184 | + | 5.82204i | −0.707182 | + | 0.229777i | ||||
\(643\) | −17.1501 | − | 23.6050i | −0.676333 | − | 0.930892i | 0.323550 | − | 0.946211i | \(-0.395124\pi\) |
−0.999883 | + | 0.0153191i | \(0.995124\pi\) | |||||||
\(644\) | −10.1833 | − | 5.72892i | −0.401278 | − | 0.225751i | ||||
\(645\) | 15.5111 | − | 5.03986i | 0.610749 | − | 0.198444i | ||||
\(646\) | −3.32590 | − | 1.08065i | −0.130856 | − | 0.0425176i | ||||
\(647\) | −0.925990 | + | 1.27452i | −0.0364044 | + | 0.0501064i | −0.826831 | − | 0.562450i | \(-0.809859\pi\) |
0.790427 | + | 0.612557i | \(0.209859\pi\) | |||||||
\(648\) | 11.4990i | 0.451723i | ||||||||
\(649\) | −4.53371 | + | 6.09267i | −0.177964 | + | 0.239158i | ||||
\(650\) | 5.64109i | 0.221262i | ||||||||
\(651\) | 4.14105 | − | 20.6092i | 0.162300 | − | 0.807740i | ||||
\(652\) | 10.0573 | − | 30.9532i | 0.393875 | − | 1.21222i | ||||
\(653\) | 4.50211 | + | 13.8561i | 0.176181 | + | 0.542230i | 0.999685 | − | 0.0250804i | \(-0.00798416\pi\) |
−0.823504 | + | 0.567310i | \(0.807984\pi\) | |||||||
\(654\) | 3.19617 | + | 4.39916i | 0.124980 | + | 0.172021i | ||||
\(655\) | −39.2868 | − | 54.0737i | −1.53506 | − | 2.11283i | ||||
\(656\) | 2.52884 | + | 7.78297i | 0.0987346 | + | 0.303874i | ||||
\(657\) | 15.6249 | − | 48.0884i | 0.609585 | − | 1.87611i | ||||
\(658\) | 2.39459 | − | 11.9174i | 0.0933508 | − | 0.464590i | ||||
\(659\) | 28.4616i | 1.10871i | 0.832281 | + | 0.554353i | \(0.187034\pi\) | ||||
−0.832281 | + | 0.554353i | \(0.812966\pi\) | |||||||
\(660\) | 15.4561 | − | 45.7843i | 0.601626 | − | 1.78215i | ||||
\(661\) | 32.7887i | 1.27533i | 0.770313 | + | 0.637666i | \(0.220100\pi\) | ||||
−0.770313 | + | 0.637666i | \(0.779900\pi\) | |||||||
\(662\) | −4.83527 | + | 6.65518i | −0.187928 | + | 0.258661i | ||||
\(663\) | 11.6120 | + | 3.77297i | 0.450973 | + | 0.146530i | ||||
\(664\) | −3.67407 | + | 1.19378i | −0.142582 | + | 0.0463275i | ||||
\(665\) | 5.73563 | − | 10.1952i | 0.222418 | − | 0.395354i | ||||
\(666\) | −4.40869 | − | 6.06804i | −0.170833 | − | 0.235132i | ||||
\(667\) | 5.54492 | − | 1.80165i | 0.214700 | − | 0.0697603i | ||||
\(668\) | −3.98824 | + | 12.2745i | −0.154309 | + | 0.474916i | ||||
\(669\) | 38.0318 | + | 27.6317i | 1.47039 | + | 1.06830i | ||||
\(670\) | −1.16985 | −0.0451951 | ||||||||
\(671\) | −14.1639 | + | 41.9566i | −0.546791 | + | 1.61972i | ||||
\(672\) | −16.8967 | − | 36.8398i | −0.651806 | − | 1.42113i | ||||
\(673\) | −6.03622 | + | 8.30815i | −0.232679 | + | 0.320255i | −0.909351 | − | 0.416029i | \(-0.863421\pi\) |
0.676672 | + | 0.736284i | \(0.263421\pi\) | |||||||
\(674\) | 7.50231 | − | 23.0897i | 0.288978 | − | 0.889383i | ||||
\(675\) | 19.8694 | − | 6.45597i | 0.764775 | − | 0.248491i | ||||
\(676\) | 14.7505 | − | 10.7169i | 0.567328 | − | 0.412188i | ||||
\(677\) | −28.3236 | + | 20.5783i | −1.08856 | + | 0.790888i | −0.979156 | − | 0.203109i | \(-0.934895\pi\) |
−0.109408 | + | 0.993997i | \(0.534895\pi\) | |||||||
\(678\) | −4.00230 | − | 12.3178i | −0.153707 | − | 0.473063i | ||||
\(679\) | −3.87487 | − | 33.2923i | −0.148704 | − | 1.27764i | ||||
\(680\) | −28.6035 | − | 20.7817i | −1.09690 | − | 0.796941i | ||||
\(681\) | − | 10.8790i | − | 0.416885i | ||||||
\(682\) | 5.36224 | + | 3.99018i | 0.205331 | + | 0.152792i | ||||
\(683\) | −18.0603 | −0.691059 | −0.345529 | − | 0.938408i | \(-0.612301\pi\) | ||||
−0.345529 | + | 0.938408i | \(0.612301\pi\) | |||||||
\(684\) | −6.29293 | − | 4.57208i | −0.240616 | − | 0.174818i | ||||
\(685\) | 9.99117 | + | 3.24633i | 0.381743 | + | 0.124036i | ||||
\(686\) | −12.4538 | + | 0.416671i | −0.475487 | + | 0.0159086i | ||||
\(687\) | 21.0333 | − | 15.2816i | 0.802470 | − | 0.583028i | ||||
\(688\) | −1.51574 | − | 2.08624i | −0.0577870 | − | 0.0795370i | ||||
\(689\) | 0.368064 | + | 1.13278i | 0.0140221 | + | 0.0431556i | ||||
\(690\) | 17.1968 | + | 5.58759i | 0.654672 | + | 0.212716i | ||||
\(691\) | 13.8812 | − | 19.1058i | 0.528065 | − | 0.726819i | −0.458769 | − | 0.888556i | \(-0.651709\pi\) |
0.986834 | + | 0.161736i | \(0.0517094\pi\) | |||||||
\(692\) | 24.8481 | 0.944585 | ||||||||
\(693\) | −26.3263 | + | 23.6917i | −1.00005 | + | 0.899973i | ||||
\(694\) | −18.5086 | −0.702577 | ||||||||
\(695\) | −30.8254 | + | 42.4276i | −1.16928 | + | 1.60937i | ||||
\(696\) | 12.2996 | + | 3.99637i | 0.466214 | + | 0.151482i | ||||
\(697\) | −7.08816 | − | 21.8151i | −0.268483 | − | 0.826306i | ||||
\(698\) | 5.58662 | + | 7.68933i | 0.211457 | + | 0.291045i | ||||
\(699\) | 0.218808 | − | 0.158973i | 0.00827607 | − | 0.00601292i | ||||
\(700\) | 22.8920 | − | 21.0789i | 0.865236 | − | 0.796706i | ||||
\(701\) | −34.9303 | − | 11.3496i | −1.31930 | − | 0.428667i | −0.437046 | − | 0.899439i | \(-0.643975\pi\) |
−0.882255 | + | 0.470773i | \(0.843975\pi\) | |||||||
\(702\) | −1.65014 | − | 1.19889i | −0.0622804 | − | 0.0452493i | ||||
\(703\) | −3.44014 | −0.129747 | ||||||||
\(704\) | 3.01103 | + | 0.0343643i | 0.113483 | + | 0.00129515i | ||||
\(705\) | − | 64.2995i | − | 2.42166i | ||||||
\(706\) | −4.48497 | − | 3.25852i | −0.168794 | − | 0.122636i | ||||
\(707\) | −8.32158 | + | 0.968544i | −0.312965 | + | 0.0364258i | ||||
\(708\) | 2.90421 | + | 8.93824i | 0.109147 | + | 0.335919i | ||||
\(709\) | 20.5986 | − | 14.9658i | 0.773597 | − | 0.562051i | −0.129453 | − | 0.991586i | \(-0.541322\pi\) |
0.903051 | + | 0.429534i | \(0.141322\pi\) | |||||||
\(710\) | 19.7208 | − | 14.3280i | 0.740110 | − | 0.537721i | ||||
\(711\) | 47.7262 | − | 15.5072i | 1.78987 | − | 0.581565i | ||||
\(712\) | −1.70358 | + | 5.24308i | −0.0638444 | + | 0.196493i | ||||
\(713\) | 5.02491 | − | 6.91619i | 0.188184 | − | 0.259013i | ||||
\(714\) | 8.21481 | + | 17.9107i | 0.307431 | + | 0.670290i | ||||
\(715\) | −7.51269 | − | 10.5925i | −0.280959 | − | 0.396135i | ||||
\(716\) | 11.4009 | 0.426071 | ||||||||
\(717\) | 13.1672 | + | 9.56650i | 0.491737 | + | 0.357268i | ||||
\(718\) | 6.22159 | − | 19.1481i | 0.232188 | − | 0.714600i | ||||
\(719\) | −29.0522 | + | 9.43965i | −1.08347 | + | 0.352039i | −0.795718 | − | 0.605667i | \(-0.792906\pi\) |
−0.287748 | + | 0.957706i | \(0.592906\pi\) | |||||||
\(720\) | −12.5383 | − | 17.2575i | −0.467275 | − | 0.643149i | ||||
\(721\) | −12.6251 | + | 22.4414i | −0.470183 | + | 0.835762i | ||||
\(722\) | −11.1652 | + | 3.62779i | −0.415525 | + | 0.135012i | ||||
\(723\) | 10.8872 | + | 3.53745i | 0.404898 | + | 0.131559i | ||||
\(724\) | 13.1682 | − | 18.1244i | 0.489391 | − | 0.673589i | ||||
\(725\) | 15.5278i | 0.576688i | ||||||||
\(726\) | −5.63882 | − | 18.8044i | −0.209276 | − | 0.697897i | ||||
\(727\) | 2.80772i | 0.104133i | 0.998644 | + | 0.0520663i | \(0.0165807\pi\) | ||||
−0.998644 | + | 0.0520663i | \(0.983419\pi\) | |||||||
\(728\) | −6.82853 | − | 1.37207i | −0.253082 | − | 0.0508522i | ||||
\(729\) | 12.7678 | − | 39.2952i | 0.472881 | − | 1.45538i | ||||
\(730\) | 9.24602 | + | 28.4563i | 0.342210 | + | 1.05322i | ||||
\(731\) | 4.24851 | + | 5.84757i | 0.157137 | + | 0.216280i | ||||
\(732\) | 32.2111 | + | 44.3347i | 1.19056 | + | 1.63866i | ||||
\(733\) | 2.08760 | + | 6.42496i | 0.0771071 | + | 0.237311i | 0.982179 | − | 0.187947i | \(-0.0601833\pi\) |
−0.905072 | + | 0.425258i | \(0.860183\pi\) | |||||||
\(734\) | 0.963604 | − | 2.96567i | 0.0355673 | − | 0.109465i | ||||
\(735\) | −64.1515 | + | 15.1382i | −2.36626 | + | 0.558380i | ||||
\(736\) | − | 16.4827i | − | 0.607561i | ||||||
\(737\) | 1.32506 | − | 0.939798i | 0.0488093 | − | 0.0346179i | ||||
\(738\) | 14.9265i | 0.549452i | ||||||||
\(739\) | 7.41106 | − | 10.2004i | 0.272620 | − | 0.375229i | −0.650652 | − | 0.759376i | \(-0.725504\pi\) |
0.923272 | + | 0.384147i | \(0.125504\pi\) | |||||||
\(740\) | −14.4285 | − | 4.68811i | −0.530403 | − | 0.172338i | ||||
\(741\) | −3.46576 | + | 1.12610i | −0.127318 | + | 0.0413681i | ||||
\(742\) | −0.942507 | + | 1.67533i | −0.0346005 | + | 0.0615033i | ||||
\(743\) | −4.12272 | − | 5.67443i | −0.151248 | − | 0.208175i | 0.726669 | − | 0.686987i | \(-0.241067\pi\) |
−0.877917 | + | 0.478813i | \(0.841067\pi\) | |||||||
\(744\) | 18.0348 | − | 5.85985i | 0.661187 | − | 0.214833i | ||||
\(745\) | −8.24062 | + | 25.3620i | −0.301913 | + | 0.929192i | ||||
\(746\) | −8.31189 | − | 6.03894i | −0.304320 | − | 0.221101i | ||||
\(747\) | 6.53298 | 0.239029 | ||||||||
\(748\) | 21.4143 | + | 0.244397i | 0.782986 | + | 0.00893605i | ||||
\(749\) | 25.3875 | − | 11.6441i | 0.927639 | − | 0.425465i | ||||
\(750\) | −9.68698 | + | 13.3330i | −0.353718 | + | 0.486852i | ||||
\(751\) | 2.75811 | − | 8.48858i | 0.100645 | − | 0.309753i | −0.888039 | − | 0.459768i | \(-0.847932\pi\) |
0.988684 | + | 0.150016i | \(0.0479324\pi\) | |||||||
\(752\) | −9.66903 | + | 3.14166i | −0.352593 | + | 0.114564i | ||||
\(753\) | −65.8689 | + | 47.8565i | −2.40039 | + | 1.74399i | ||||
\(754\) | 1.22645 | − | 0.891068i | 0.0446647 | − | 0.0324508i | ||||
\(755\) | 13.9626 | + | 42.9723i | 0.508150 | + | 1.56392i | ||||
\(756\) | 1.30080 | + | 11.1762i | 0.0473095 | + | 0.406476i | ||||
\(757\) | −22.9141 | − | 16.6481i | −0.832828 | − | 0.605085i | 0.0875299 | − | 0.996162i | \(-0.472103\pi\) |
−0.920358 | + | 0.391077i | \(0.872103\pi\) | |||||||
\(758\) | − | 15.3127i | − | 0.556183i | ||||||
\(759\) | −23.9673 | + | 7.48615i | −0.869957 | + | 0.271730i | ||||
\(760\) | 10.5525 | 0.382778 | ||||||||
\(761\) | 5.68004 | + | 4.12679i | 0.205901 | + | 0.149596i | 0.685957 | − | 0.727642i | \(-0.259384\pi\) |
−0.480056 | + | 0.877238i | \(0.659384\pi\) | |||||||
\(762\) | −10.4043 | − | 3.38057i | −0.376909 | − | 0.122465i | ||||
\(763\) | −5.46041 | − | 5.93009i | −0.197680 | − | 0.214684i | ||||
\(764\) | −1.98968 | + | 1.44558i | −0.0719839 | + | 0.0522994i | ||||
\(765\) | 35.1440 | + | 48.3716i | 1.27063 | + | 1.74888i | ||||
\(766\) | −6.01167 | − | 18.5020i | −0.217211 | − | 0.668506i | ||||
\(767\) | 2.40204 | + | 0.780472i | 0.0867328 | + | 0.0281812i | ||||
\(768\) | 14.3067 | − | 19.6915i | 0.516249 | − | 0.710555i | ||||
\(769\) | 27.4453 | 0.989703 | 0.494851 | − | 0.868978i | \(-0.335222\pi\) | ||||
0.494851 | + | 0.868978i | \(0.335222\pi\) | |||||||
\(770\) | 4.36283 | − | 20.4989i | 0.157225 | − | 0.738729i | ||||
\(771\) | −17.8590 | −0.643177 | ||||||||
\(772\) | −10.1891 | + | 14.0241i | −0.366715 | + | 0.504740i | ||||
\(773\) | −27.2253 | − | 8.84603i | −0.979226 | − | 0.318170i | −0.224691 | − | 0.974430i | \(-0.572137\pi\) |
−0.754535 | + | 0.656260i | \(0.772137\pi\) | |||||||
\(774\) | −1.45347 | − | 4.47333i | −0.0522440 | − | 0.160790i | ||||
\(775\) | 13.3829 | + | 18.4199i | 0.480726 | + | 0.661663i | ||||
\(776\) | 24.4608 | − | 17.7718i | 0.878091 | − | 0.637971i | ||||
\(777\) | 13.1302 | + | 14.2596i | 0.471044 | + | 0.511562i | ||||
\(778\) | 14.0561 | + | 4.56709i | 0.503934 | + | 0.163738i | ||||
\(779\) | 5.53861 | + | 4.02403i | 0.198441 | + | 0.144176i | ||||
\(780\) | −16.0706 | −0.575419 | ||||||||
\(781\) | −10.8269 | + | 32.0718i | −0.387419 | + | 1.14762i | ||||
\(782\) | 8.01352i | 0.286563i | ||||||||
\(783\) | −4.54220 | − | 3.30010i | −0.162325 | − | 0.117936i | ||||
\(784\) | 5.41083 | + | 8.90713i | 0.193244 | + | 0.318112i | ||||
\(785\) | 16.7413 | + | 51.5245i | 0.597523 | + | 1.83899i | ||||
\(786\) | −27.1858 | + | 19.7516i | −0.969684 | + | 0.704516i | ||||
\(787\) | −6.16756 | + | 4.48100i | −0.219850 | + | 0.159730i | −0.692259 | − | 0.721649i | \(-0.743384\pi\) |
0.472409 | + | 0.881379i | \(0.343384\pi\) | |||||||
\(788\) | −22.1237 | + | 7.18843i | −0.788125 | + | 0.256077i | ||||
\(789\) | −20.0382 | + | 61.6711i | −0.713378 | + | 2.19555i | ||||
\(790\) | −17.4545 | + | 24.0240i | −0.621003 | + | 0.854737i | ||||
\(791\) | 8.00460 | + | 17.4524i | 0.284611 | + | 0.620535i | ||||
\(792\) | −30.2709 | − | 10.2190i | −1.07563 | − | 0.363115i | ||||
\(793\) | 14.7271 | 0.522973 | ||||||||
\(794\) | 1.64389 | + | 1.19435i | 0.0583394 | + | 0.0423860i | ||||
\(795\) | −3.14212 | + | 9.67045i | −0.111439 | + | 0.342976i | ||||
\(796\) | 32.2943 | − | 10.4931i | 1.14464 | − | 0.371917i | ||||
\(797\) | 20.4217 | + | 28.1080i | 0.723372 | + | 0.995637i | 0.999405 | + | 0.0344885i | \(0.0109802\pi\) |
−0.276033 | + | 0.961148i | \(0.589020\pi\) | |||||||
\(798\) | −5.12569 | − | 2.88361i | −0.181447 | − | 0.102079i | ||||
\(799\) | 27.1016 | − | 8.80584i | 0.958786 | − | 0.311528i | ||||
\(800\) | 41.7499 | + | 13.5654i | 1.47608 | + | 0.479608i | ||||
\(801\) | 5.47986 | − | 7.54238i | 0.193621 | − | 0.266497i | ||||
\(802\) | − | 5.30453i | − | 0.187309i | ||||||
\(803\) | −33.3332 | − | 24.8041i | −1.17630 | − | 0.875317i | ||||
\(804\) | − | 2.01035i | − | 0.0708995i | ||||||
\(805\) | −26.2804 | − | 5.28057i | −0.926263 | − | 0.186116i | ||||
\(806\) | 0.686903 | − | 2.11407i | 0.0241951 | − | 0.0744649i | ||||
\(807\) | 20.7545 | + | 63.8757i | 0.730592 | + | 2.24853i | ||||
\(808\) | −4.44216 | − | 6.11411i | −0.156275 | − | 0.215094i | ||||
\(809\) | 13.1809 | + | 18.1420i | 0.463417 | + | 0.637838i | 0.975213 | − | 0.221269i | \(-0.0710197\pi\) |
−0.511796 | + | 0.859107i | \(0.671020\pi\) | |||||||
\(810\) | 3.55590 | + | 10.9439i | 0.124942 | + | 0.384531i | ||||
\(811\) | −6.04102 | + | 18.5924i | −0.212129 | + | 0.652866i | 0.787216 | + | 0.616677i | \(0.211522\pi\) |
−0.999345 | + | 0.0361885i | \(0.988478\pi\) | |||||||
\(812\) | −8.19886 | − | 1.64741i | −0.287724 | − | 0.0578128i | ||||
\(813\) | − | 72.5238i | − | 2.54352i | ||||||
\(814\) | −5.88309 | + | 1.83758i | −0.206202 | + | 0.0644070i | ||||
\(815\) | − | 74.6669i | − | 2.61547i | ||||||
\(816\) | 9.68698 | − | 13.3330i | 0.339112 | − | 0.466748i | ||||
\(817\) | −2.05171 | − | 0.666641i | −0.0717802 | − | 0.0233228i | ||||
\(818\) | −16.9867 | + | 5.51933i | −0.593928 | + | 0.192979i | ||||
\(819\) | 10.2656 | + | 5.77520i | 0.358708 | + | 0.201802i | ||||
\(820\) | 17.7460 | + | 24.4253i | 0.619717 | + | 0.852968i | ||||
\(821\) | −17.4900 | + | 5.68285i | −0.610405 | + | 0.198333i | −0.597876 | − | 0.801589i | \(-0.703988\pi\) |
−0.0125296 | + | 0.999922i | \(0.503988\pi\) | |||||||
\(822\) | 1.63210 | − | 5.02310i | 0.0569262 | − | 0.175201i | ||||
\(823\) | −18.0091 | − | 13.0844i | −0.627757 | − | 0.456092i | 0.227866 | − | 0.973693i | \(-0.426825\pi\) |
−0.855622 | + | 0.517601i | \(0.826825\pi\) | |||||||
\(824\) | −23.2278 | −0.809178 | ||||||||
\(825\) | 0.763163 | − | 66.8691i | 0.0265699 | − | 2.32808i | ||||
\(826\) | 1.69931 | + | 3.70498i | 0.0591264 | + | 0.128913i | ||||
\(827\) | 27.3411 | − | 37.6318i | 0.950744 | − | 1.30859i | −0.000452329 | − | 1.00000i | \(-0.500144\pi\) |
0.951196 | − | 0.308587i | \(-0.0998560\pi\) | |||||||
\(828\) | −5.50806 | + | 16.9521i | −0.191418 | + | 0.589125i | ||||
\(829\) | −19.7645 | + | 6.42188i | −0.686450 | + | 0.223041i | −0.631417 | − | 0.775443i | \(-0.717526\pi\) |
−0.0550330 | + | 0.998485i | \(0.517526\pi\) | |||||||
\(830\) | −3.12757 | + | 2.27231i | −0.108559 | + | 0.0788731i | ||||
\(831\) | 48.1106 | − | 34.9544i | 1.66894 | − | 1.21256i | ||||
\(832\) | −0.309461 | − | 0.952424i | −0.0107286 | − | 0.0330194i | ||||
\(833\) | −15.1662 | − | 24.9661i | −0.525477 | − | 0.865022i | ||||
\(834\) | 21.3306 | + | 15.4976i | 0.738620 | + | 0.536639i | ||||
\(835\) | 29.6092i | 1.02467i | ||||||||
\(836\) | −5.21363 | + | 3.69776i | −0.180317 | + | 0.127890i | ||||
\(837\) | −8.23245 | −0.284555 | ||||||||
\(838\) | 3.96519 | + | 2.88088i | 0.136975 | + | 0.0995182i | ||||
\(839\) | 7.17263 | + | 2.33053i | 0.247627 | + | 0.0804588i | 0.430200 | − | 0.902733i | \(-0.358443\pi\) |
−0.182574 | + | 0.983192i | \(0.558443\pi\) | |||||||
\(840\) | −40.2763 | − | 43.7408i | −1.38967 | − | 1.50920i | ||||
\(841\) | −20.0855 | + | 14.5930i | −0.692605 | + | 0.503207i | ||||
\(842\) | −9.41384 | − | 12.9570i | −0.324422 | − | 0.446529i | ||||
\(843\) | 17.6375 | + | 54.2825i | 0.607466 | + | 1.86959i | ||||
\(844\) | −21.1467 | − | 6.87097i | −0.727899 | − | 0.236509i | ||||
\(845\) | 24.5865 | − | 33.8404i | 0.845802 | − | 1.16415i | ||||
\(846\) | −18.5436 | −0.637544 | ||||||||
\(847\) | 11.5261 | + | 26.7236i | 0.396042 | + | 0.918232i | ||||
\(848\) | 1.60772 | 0.0552092 | ||||||||
\(849\) | 48.2450 | − | 66.4036i | 1.65577 | − | 2.27897i | ||||
\(850\) | −20.2979 | − | 6.59517i | −0.696211 | − | 0.226213i | ||||
\(851\) | 2.43601 | + | 7.49727i | 0.0835053 | + | 0.257003i | ||||
\(852\) | 24.6223 | + | 33.8897i | 0.843546 | + | 1.16104i | ||||
\(853\) | 1.27999 | − | 0.929968i | 0.0438260 | − | 0.0318415i | −0.565657 | − | 0.824641i | \(-0.691377\pi\) |
0.609483 | + | 0.792799i | \(0.291377\pi\) | |||||||
\(854\) | 16.0995 | + | 17.4844i | 0.550915 | + | 0.598303i | ||||
\(855\) | −16.9719 | − | 5.51451i | −0.580427 | − | 0.188592i | ||||
\(856\) | 20.3837 | + | 14.8096i | 0.696700 | + | 0.506182i | ||||
\(857\) | −52.3232 | −1.78733 | −0.893664 | − | 0.448737i | \(-0.851874\pi\) | ||||
−0.893664 | + | 0.448737i | \(0.851874\pi\) | |||||||
\(858\) | −5.32540 | + | 3.77703i | −0.181806 | + | 0.128946i | ||||
\(859\) | 7.18932i | 0.245296i | 0.992450 | + | 0.122648i | \(0.0391387\pi\) | ||||
−0.992450 | + | 0.122648i | \(0.960861\pi\) | |||||||
\(860\) | −7.69673 | − | 5.59200i | −0.262456 | − | 0.190686i | ||||
\(861\) | −4.45966 | − | 38.3167i | −0.151985 | − | 1.30583i | ||||
\(862\) | −0.133148 | − | 0.409787i | −0.00453504 | − | 0.0139574i | ||||
\(863\) | 35.4803 | − | 25.7779i | 1.20776 | − | 0.877490i | 0.212736 | − | 0.977110i | \(-0.431762\pi\) |
0.995026 | + | 0.0996193i | \(0.0317625\pi\) | |||||||
\(864\) | −12.8412 | + | 9.32969i | −0.436867 | + | 0.317402i | ||||
\(865\) | 54.2162 | − | 17.6159i | 1.84341 | − | 0.598959i | ||||
\(866\) | 3.58055 | − | 11.0198i | 0.121672 | − | 0.374468i | ||||
\(867\) | −0.646458 | + | 0.889773i | −0.0219549 | + | 0.0302183i | ||||
\(868\) | −11.1458 | + | 5.11206i | −0.378313 | + | 0.173515i | ||||
\(869\) | 0.470591 | − | 41.2336i | 0.0159637 | − | 1.39876i | ||||
\(870\) | 12.9417 | 0.438765 | ||||||||
\(871\) | −0.437077 | − | 0.317555i | −0.0148098 | − | 0.0107599i | ||||
\(872\) | 2.24712 | − | 6.91593i | 0.0760972 | − | 0.234203i | ||||
\(873\) | −48.6284 | + | 15.8003i | −1.64582 | + | 0.534760i | ||||
\(874\) | −1.40583 | − | 1.93496i | −0.0475530 | − | 0.0654511i | ||||
\(875\) | 11.9792 | − | 21.2934i | 0.404972 | − | 0.719848i | ||||
\(876\) | −48.9013 | + | 15.8890i | −1.65222 | + | 0.536840i | ||||
\(877\) | 13.6738 | + | 4.44289i | 0.461732 | + | 0.150026i | 0.530640 | − | 0.847597i | \(-0.321952\pi\) |
−0.0689082 | + | 0.997623i | \(0.521952\pi\) | |||||||
\(878\) | 0.0150788 | − | 0.0207541i | 0.000508884 | − | 0.000700419i | ||||
\(879\) | 65.9190i | 2.22339i | ||||||||
\(880\) | −16.7315 | + | 5.22607i | −0.564019 | + | 0.176171i | ||||
\(881\) | 2.45261i | 0.0826304i | 0.999146 | + | 0.0413152i | \(0.0131548\pi\) | ||||
−0.999146 | + | 0.0413152i | \(0.986845\pi\) | |||||||
\(882\) | 4.36578 | + | 18.5010i | 0.147003 | + | 0.622960i | ||||
\(883\) | 1.47928 | − | 4.55275i | 0.0497817 | − | 0.153212i | −0.923075 | − | 0.384619i | \(-0.874333\pi\) |
0.972857 | + | 0.231407i | \(0.0743328\pi\) | |||||||
\(884\) | −2.20088 | − | 6.77360i | −0.0740234 | − | 0.227821i | ||||
\(885\) | 12.6734 | + | 17.4434i | 0.426011 | + | 0.586355i | ||||
\(886\) | 12.1181 | + | 16.6791i | 0.407114 | + | 0.560344i | ||||
\(887\) | −11.0756 | − | 34.0871i | −0.371882 | − | 1.14453i | −0.945558 | − | 0.325452i | \(-0.894483\pi\) |
0.573677 | − | 0.819082i | \(-0.305517\pi\) | |||||||
\(888\) | −5.40348 | + | 16.6302i | −0.181329 | + | 0.558073i | ||||
\(889\) | 15.9000 | + | 3.19482i | 0.533270 | + | 0.107151i | ||||
\(890\) | 5.51682i | 0.184924i | ||||||||
\(891\) | −12.8195 | − | 9.53934i | −0.429471 | − | 0.319580i | ||||
\(892\) | − | 27.4221i | − | 0.918161i | ||||||
\(893\) | −4.99918 | + | 6.88079i | −0.167291 | + | 0.230257i | ||||
\(894\) | 12.7509 | + | 4.14300i | 0.426452 | + | 0.138563i | ||||
\(895\) | 24.8756 | − | 8.08257i | 0.831500 | − | 0.270171i | ||||
\(896\) | −14.1910 | + | 25.2249i | −0.474090 | + | 0.842706i | ||||
\(897\) | 4.90831 | + | 6.75571i | 0.163884 | + | 0.225567i | ||||
\(898\) | −18.8906 | + | 6.13792i | −0.630387 | + | 0.204825i | ||||
\(899\) | 1.89078 | − | 5.81923i | 0.0630612 | − | 0.194082i | ||||
\(900\) | −38.4056 | − | 27.9033i | −1.28019 | − | 0.930110i | ||||
\(901\) | −4.50631 | −0.150127 | ||||||||
\(902\) | 11.6212 | + | 3.92314i | 0.386944 | + | 0.130626i | ||||
\(903\) | 5.06763 | + | 11.0489i | 0.168640 | + | 0.367685i | ||||
\(904\) | −10.1807 | + | 14.0126i | −0.338606 | + | 0.466051i | ||||
\(905\) | 15.8825 | − | 48.8812i | 0.527951 | − | 1.62487i | ||||
\(906\) | 21.6045 | − | 7.01973i | 0.717762 | − | 0.233215i | ||||
\(907\) | −5.81532 | + | 4.22508i | −0.193095 | + | 0.140291i | −0.680132 | − | 0.733090i | \(-0.738078\pi\) |
0.487037 | + | 0.873381i | \(0.338078\pi\) | |||||||
\(908\) | −5.13405 | + | 3.73011i | −0.170379 | + | 0.123788i | ||||
\(909\) | 3.94937 | + | 12.1549i | 0.130992 | + | 0.403153i | ||||
\(910\) | −6.92323 | + | 0.805790i | −0.229503 | + | 0.0267117i | ||||
\(911\) | −16.1909 | − | 11.7633i | −0.536427 | − | 0.389737i | 0.286329 | − | 0.958131i | \(-0.407565\pi\) |
−0.822756 | + | 0.568394i | \(0.807565\pi\) | |||||||
\(912\) | 4.91883i | 0.162879i | ||||||||
\(913\) | 1.71707 | − | 5.08634i | 0.0568267 | − | 0.168333i | ||||
\(914\) | 2.85803 | 0.0945354 | ||||||||
\(915\) | 101.712 | + | 73.8982i | 3.36250 | + | 2.44300i | ||||
\(916\) | −14.4234 | − | 4.68645i | −0.476563 | − | 0.154845i | ||||
\(917\) | 36.6466 | − | 33.7440i | 1.21018 | − | 1.11433i | ||||
\(918\) | 6.24310 | − | 4.53588i | 0.206053 | − | 0.149706i | ||||
\(919\) | −2.08305 | − | 2.86708i | −0.0687136 | − | 0.0945762i | 0.773277 | − | 0.634068i | \(-0.218616\pi\) |
−0.841991 | + | 0.539492i | \(0.818616\pi\) | |||||||
\(920\) | −7.47234 | − | 22.9975i | −0.246356 | − | 0.758206i | ||||
\(921\) | −25.2348 | − | 8.19929i | −0.831516 | − | 0.270176i | ||||
\(922\) | 4.70335 | − | 6.47361i | 0.154897 | − | 0.213197i | ||||
\(923\) | 11.2574 | 0.370543 | ||||||||
\(924\) | 35.2267 | + | 7.49739i | 1.15887 | + | 0.246646i | ||||
\(925\) | −20.9951 | −0.690314 | ||||||||
\(926\) | −11.6667 | + | 16.0578i | −0.383391 | + | 0.527693i | ||||
\(927\) | 37.3581 | + | 12.1384i | 1.22700 | + | 0.398677i | ||||
\(928\) | −3.64553 | − | 11.2198i | −0.119670 | − | 0.368308i | ||||
\(929\) | 16.0001 | + | 22.0222i | 0.524946 | + | 0.722526i | 0.986350 | − | 0.164664i | \(-0.0526540\pi\) |
−0.461404 | + | 0.887190i | \(0.652654\pi\) | |||||||
\(930\) | 15.3522 | − | 11.1540i | 0.503418 | − | 0.365754i | ||||
\(931\) | 8.04192 | + | 3.36772i | 0.263563 | + | 0.110373i | ||||
\(932\) | −0.150046 | − | 0.0487528i | −0.00491491 | − | 0.00159695i | ||||
\(933\) | −40.1705 | − | 29.1856i | −1.31512 | − | 0.955493i | ||||
\(934\) | 7.50122 | 0.245447 | ||||||||
\(935\) | 46.8972 | − | 14.6483i | 1.53370 | − | 0.479050i | ||||
\(936\) | 10.6253i | 0.347298i | ||||||||
\(937\) | −38.8017 | − | 28.1911i | −1.26760 | − | 0.920964i | −0.268493 | − | 0.963282i | \(-0.586526\pi\) |
−0.999104 | + | 0.0423179i | \(0.986526\pi\) | |||||||
\(938\) | −0.100800 | − | 0.866060i | −0.00329124 | − | 0.0282779i | ||||
\(939\) | 4.33287 | + | 13.3352i | 0.141398 | + | 0.435177i | ||||
\(940\) | −30.3443 | + | 22.0464i | −0.989722 | + | 0.719075i | ||||
\(941\) | −8.46335 | + | 6.14898i | −0.275897 | + | 0.200451i | −0.717126 | − | 0.696944i | \(-0.754543\pi\) |
0.441229 | + | 0.897395i | \(0.354543\pi\) | |||||||
\(942\) | 25.9041 | − | 8.41676i | 0.844002 | − | 0.274233i | ||||
\(943\) | 4.84781 | − | 14.9200i | 0.157866 | − | 0.485863i | ||||
\(944\) | 2.00384 | − | 2.75804i | 0.0652193 | − | 0.0897667i | ||||
\(945\) | 10.7615 | + | 23.4633i | 0.350073 | + | 0.763260i | ||||
\(946\) | −3.86478 | − | 0.0441080i | −0.125655 | − | 0.00143407i | ||||
\(947\) | −31.5419 | −1.02497 | −0.512487 | − | 0.858695i | \(-0.671276\pi\) | ||||
−0.512487 | + | 0.858695i | \(0.671276\pi\) | |||||||
\(948\) | −41.2846 | − | 29.9950i | −1.34086 | − | 0.974193i | ||||
\(949\) | −4.26998 | + | 13.1417i | −0.138610 | + | 0.426596i | ||||
\(950\) | 6.05818 | − | 1.96842i | 0.196553 | − | 0.0638640i | ||||
\(951\) | −44.8318 | − | 61.7057i | −1.45377 | − | 2.00095i | ||||
\(952\) | 12.9204 | − | 22.9664i | 0.418754 | − | 0.744345i | ||||
\(953\) | −3.51669 | + | 1.14264i | −0.113917 | + | 0.0370138i | −0.365421 | − | 0.930842i | \(-0.619075\pi\) |
0.251504 | + | 0.967856i | \(0.419075\pi\) | |||||||
\(954\) | 2.78891 | + | 0.906172i | 0.0902943 | + | 0.0293384i | ||||
\(955\) | −3.31644 | + | 4.56469i | −0.107317 | + | 0.147710i | ||||
\(956\) | − | 9.49395i | − | 0.307056i | ||||||
\(957\) | −14.6588 | + | 10.3967i | −0.473852 | + | 0.336079i | ||||
\(958\) | 7.62407i | 0.246323i | ||||||||
\(959\) | −1.54243 | + | 7.67637i | −0.0498075 | + | 0.247883i | ||||
\(960\) | 2.64184 | − | 8.13073i | 0.0852649 | − | 0.262418i | ||||
\(961\) | 6.80709 | + | 20.9501i | 0.219583 | + | 0.675808i | ||||
\(962\) | 1.20481 | + | 1.65828i | 0.0388446 | + | 0.0534651i | ||||
\(963\) | −25.0446 | − | 34.4710i | −0.807051 | − | 1.11081i | ||||
\(964\) | −2.06349 | − | 6.35077i | −0.0664606 | − | 0.204545i | ||||
\(965\) | −12.2894 | + | 37.8228i | −0.395609 | + | 1.21756i | ||||
\(966\) | −2.65483 | + | 13.2126i | −0.0854177 | + | 0.425108i | ||||
\(967\) | − | 22.8572i | − | 0.735038i | −0.930016 | − | 0.367519i | \(-0.880207\pi\) | ||
0.930016 | − | 0.367519i | \(-0.119793\pi\) | |||||||
\(968\) | −15.9122 | + | 20.8819i | −0.511438 | + | 0.671170i | ||||
\(969\) | − | 13.7871i | − | 0.442906i | ||||||
\(970\) | 17.7844 | − | 24.4782i | 0.571024 | − | 0.785946i | ||||
\(971\) | 0.977016 | + | 0.317452i | 0.0313539 | + | 0.0101875i | 0.324652 | − | 0.945834i | \(-0.394753\pi\) |
−0.293298 | + | 0.956021i | \(0.594753\pi\) | |||||||
\(972\) | −30.9406 | + | 10.0532i | −0.992421 | + | 0.322457i | ||||
\(973\) | −34.0660 | − | 19.1649i | −1.09211 | − | 0.614398i | ||||
\(974\) | 6.13212 | + | 8.44014i | 0.196486 | + | 0.270439i | ||||
\(975\) | −21.1515 | + | 6.87253i | −0.677389 | + | 0.220097i | ||||
\(976\) | 6.14281 | − | 18.9056i | 0.196626 | − | 0.605154i | ||||
\(977\) | −16.4024 | − | 11.9170i | −0.524759 | − | 0.381260i | 0.293635 | − | 0.955918i | \(-0.405135\pi\) |
−0.818394 | + | 0.574658i | \(0.805135\pi\) | |||||||
\(978\) | −37.5391 | −1.20037 | ||||||||
\(979\) | −4.43194 | − | 6.24879i | −0.141646 | − | 0.199712i | ||||
\(980\) | 29.1397 | + | 25.0840i | 0.930834 | + | 0.801280i | ||||
\(981\) | −7.22826 | + | 9.94884i | −0.230780 | + | 0.317642i | ||||
\(982\) | −2.16411 | + | 6.66044i | −0.0690595 | + | 0.212543i | ||||
\(983\) | −18.6929 | + | 6.07370i | −0.596212 | + | 0.193721i | −0.591550 | − | 0.806268i | \(-0.701484\pi\) |
−0.00466161 | + | 0.999989i | \(0.501484\pi\) | |||||||
\(984\) | 28.1524 | − | 20.4539i | 0.897466 | − | 0.652048i | ||||
\(985\) | −43.1756 | + | 31.3689i | −1.37569 | + | 0.999496i | ||||
\(986\) | 1.77237 | + | 5.45481i | 0.0564439 | + | 0.173716i | ||||
\(987\) | 47.6021 | − | 5.54038i | 1.51519 | − | 0.176352i | ||||
\(988\) | 1.71974 | + | 1.24946i | 0.0547122 | + | 0.0397507i | ||||
\(989\) | 4.94345i | 0.157193i | ||||||||
\(990\) | −31.9698 | − | 0.364865i | −1.01607 | − | 0.0115962i | ||||
\(991\) | 12.4581 | 0.395744 | 0.197872 | − | 0.980228i | \(-0.436597\pi\) | ||||
0.197872 | + | 0.980228i | \(0.436597\pi\) | |||||||
\(992\) | −13.9945 | − | 10.1676i | −0.444325 | − | 0.322821i | ||||
\(993\) | −30.8446 | − | 10.0220i | −0.978825 | − | 0.318039i | ||||
\(994\) | 12.3066 | + | 13.3651i | 0.390340 | + | 0.423916i | ||||
\(995\) | 63.0241 | − | 45.7897i | 1.99800 | − | 1.45163i | ||||
\(996\) | −3.90490 | − | 5.37464i | −0.123732 | − | 0.170302i | ||||
\(997\) | −6.20109 | − | 19.0850i | −0.196391 | − | 0.604428i | −0.999958 | − | 0.00921365i | \(-0.997067\pi\) |
0.803567 | − | 0.595214i | \(-0.202933\pi\) | |||||||
\(998\) | 14.8575 | + | 4.82750i | 0.470306 | + | 0.152812i | ||||
\(999\) | 4.46206 | − | 6.14149i | 0.141173 | − | 0.194308i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))