Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(67,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.h (of order \(3\), degree \(2\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(0.500000 - 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.67 |
Dual form | 126.2.h.c.79.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | −0.349814 | + | 1.69636i | −0.201965 | + | 0.979393i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 3.69963 | 1.65452 | 0.827262 | − | 0.561816i | \(-0.189897\pi\) | ||||
0.827262 | + | 0.561816i | \(0.189897\pi\) | |||||||
\(6\) | −1.29418 | − | 1.15113i | −0.528348 | − | 0.469946i | ||||
\(7\) | −1.40545 | + | 2.24159i | −0.531209 | + | 0.847241i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.75526 | − | 1.18682i | −0.918420 | − | 0.395607i | ||||
\(10\) | −1.84981 | + | 3.20397i | −0.584963 | + | 1.01318i | ||||
\(11\) | −1.47710 | −0.445362 | −0.222681 | − | 0.974891i | \(-0.571481\pi\) | ||||
−0.222681 | + | 0.974891i | \(0.571481\pi\) | |||||||
\(12\) | 1.64400 | − | 0.545231i | 0.474581 | − | 0.157395i | ||||
\(13\) | −1.34981 | + | 2.33795i | −0.374371 | + | 0.648430i | −0.990233 | − | 0.139425i | \(-0.955475\pi\) |
0.615862 | + | 0.787854i | \(0.288808\pi\) | |||||||
\(14\) | −1.23855 | − | 2.33795i | −0.331016 | − | 0.624843i | ||||
\(15\) | −1.29418 | + | 6.27589i | −0.334156 | + | 1.62043i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.28799 | − | 5.69497i | 0.797455 | − | 1.38123i | −0.123813 | − | 0.992306i | \(-0.539512\pi\) |
0.921268 | − | 0.388927i | \(-0.127154\pi\) | |||||||
\(18\) | 2.40545 | − | 1.79272i | 0.566969 | − | 0.422547i | ||||
\(19\) | −0.444368 | − | 0.769668i | −0.101945 | − | 0.176574i | 0.810541 | − | 0.585682i | \(-0.199173\pi\) |
−0.912486 | + | 0.409108i | \(0.865840\pi\) | |||||||
\(20\) | −1.84981 | − | 3.20397i | −0.413631 | − | 0.716430i | ||||
\(21\) | −3.31089 | − | 3.16828i | −0.722496 | − | 0.691375i | ||||
\(22\) | 0.738550 | − | 1.27921i | 0.157459 | − | 0.272728i | ||||
\(23\) | 6.28799 | 1.31114 | 0.655568 | − | 0.755136i | \(-0.272429\pi\) | ||||
0.655568 | + | 0.755136i | \(0.272429\pi\) | |||||||
\(24\) | −0.349814 | + | 1.69636i | −0.0714055 | + | 0.346268i | ||||
\(25\) | 8.68725 | 1.73745 | ||||||||
\(26\) | −1.34981 | − | 2.33795i | −0.264720 | − | 0.458509i | ||||
\(27\) | 2.97710 | − | 4.25874i | 0.572943 | − | 0.819595i | ||||
\(28\) | 2.64400 | + | 0.0963576i | 0.499668 | + | 0.0182099i | ||||
\(29\) | 1.25526 | + | 2.17417i | 0.233096 | + | 0.403734i | 0.958718 | − | 0.284360i | \(-0.0917810\pi\) |
−0.725622 | + | 0.688094i | \(0.758448\pi\) | |||||||
\(30\) | −4.78799 | − | 4.25874i | −0.874164 | − | 0.777536i | ||||
\(31\) | −3.40545 | − | 5.89841i | −0.611636 | − | 1.05938i | −0.990965 | − | 0.134123i | \(-0.957178\pi\) |
0.379329 | − | 0.925262i | \(-0.376155\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.516710 | − | 2.50569i | 0.0899477 | − | 0.436185i | ||||
\(34\) | 3.28799 | + | 5.69497i | 0.563886 | + | 0.976679i | ||||
\(35\) | −5.19963 | + | 8.29305i | −0.878898 | + | 1.40178i | ||||
\(36\) | 0.349814 | + | 2.97954i | 0.0583023 | + | 0.496589i | ||||
\(37\) | −1.38874 | − | 2.40536i | −0.228307 | − | 0.395439i | 0.729000 | − | 0.684514i | \(-0.239986\pi\) |
−0.957306 | + | 0.289075i | \(0.906652\pi\) | |||||||
\(38\) | 0.888736 | 0.144172 | ||||||||
\(39\) | −3.49381 | − | 3.10761i | −0.559457 | − | 0.497617i | ||||
\(40\) | 3.69963 | 0.584963 | ||||||||
\(41\) | −2.05563 | + | 3.56046i | −0.321036 | + | 0.556050i | −0.980702 | − | 0.195508i | \(-0.937364\pi\) |
0.659666 | + | 0.751559i | \(0.270698\pi\) | |||||||
\(42\) | 4.39926 | − | 1.28318i | 0.678820 | − | 0.197999i | ||||
\(43\) | 0.00618986 | + | 0.0107211i | 0.000943944 | + | 0.00163496i | 0.866497 | − | 0.499182i | \(-0.166366\pi\) |
−0.865553 | + | 0.500817i | \(0.833033\pi\) | |||||||
\(44\) | 0.738550 | + | 1.27921i | 0.111341 | + | 0.192848i | ||||
\(45\) | −10.1934 | − | 4.39079i | −1.51955 | − | 0.654541i | ||||
\(46\) | −3.14400 | + | 5.44556i | −0.463557 | + | 0.802904i | ||||
\(47\) | 3.49381 | − | 6.05146i | 0.509625 | − | 0.882696i | −0.490313 | − | 0.871546i | \(-0.663118\pi\) |
0.999938 | − | 0.0111494i | \(-0.00354904\pi\) | |||||||
\(48\) | −1.29418 | − | 1.15113i | −0.186799 | − | 0.166151i | ||||
\(49\) | −3.04944 | − | 6.30087i | −0.435635 | − | 0.900124i | ||||
\(50\) | −4.34362 | + | 7.52338i | −0.614281 | + | 1.06397i | ||||
\(51\) | 8.51052 | + | 7.56979i | 1.19171 | + | 1.05998i | ||||
\(52\) | 2.69963 | 0.374371 | ||||||||
\(53\) | −1.60507 | + | 2.78007i | −0.220474 | + | 0.381872i | −0.954952 | − | 0.296760i | \(-0.904094\pi\) |
0.734478 | + | 0.678632i | \(0.237427\pi\) | |||||||
\(54\) | 2.19963 | + | 4.70761i | 0.299331 | + | 0.640625i | ||||
\(55\) | −5.46472 | −0.736863 | ||||||||
\(56\) | −1.40545 | + | 2.24159i | −0.187811 | + | 0.299545i | ||||
\(57\) | 1.46108 | − | 0.484566i | 0.193525 | − | 0.0641824i | ||||
\(58\) | −2.51052 | −0.329647 | ||||||||
\(59\) | −3.45489 | − | 5.98404i | −0.449788 | − | 0.779056i | 0.548584 | − | 0.836096i | \(-0.315167\pi\) |
−0.998372 | + | 0.0570397i | \(0.981834\pi\) | |||||||
\(60\) | 6.08217 | − | 2.01715i | 0.785205 | − | 0.260413i | ||||
\(61\) | 2.86652 | − | 4.96497i | 0.367021 | − | 0.635699i | −0.622077 | − | 0.782956i | \(-0.713711\pi\) |
0.989098 | + | 0.147257i | \(0.0470444\pi\) | |||||||
\(62\) | 6.81089 | 0.864984 | ||||||||
\(63\) | 6.53273 | − | 4.50815i | 0.823047 | − | 0.567973i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −4.99381 | + | 8.64953i | −0.619406 | + | 1.07284i | ||||
\(66\) | 1.91164 | + | 1.70033i | 0.235306 | + | 0.209296i | ||||
\(67\) | 4.73236 | + | 8.19669i | 0.578150 | + | 1.00138i | 0.995692 | + | 0.0927271i | \(0.0295584\pi\) |
−0.417542 | + | 0.908658i | \(0.637108\pi\) | |||||||
\(68\) | −6.57598 | −0.797455 | ||||||||
\(69\) | −2.19963 | + | 10.6667i | −0.264804 | + | 1.28412i | ||||
\(70\) | −4.58217 | − | 8.64953i | −0.547675 | − | 1.03382i | ||||
\(71\) | −5.46472 | −0.648543 | −0.324271 | − | 0.945964i | \(-0.605119\pi\) | ||||
−0.324271 | + | 0.945964i | \(0.605119\pi\) | |||||||
\(72\) | −2.75526 | − | 1.18682i | −0.324711 | − | 0.139868i | ||||
\(73\) | −6.03273 | + | 10.4490i | −0.706078 | + | 1.22296i | 0.260223 | + | 0.965548i | \(0.416204\pi\) |
−0.966301 | + | 0.257414i | \(0.917130\pi\) | |||||||
\(74\) | 2.77747 | 0.322875 | ||||||||
\(75\) | −3.03892 | + | 14.7367i | −0.350904 | + | 1.70165i | ||||
\(76\) | −0.444368 | + | 0.769668i | −0.0509725 | + | 0.0882870i | ||||
\(77\) | 2.07598 | − | 3.31105i | 0.236580 | − | 0.377329i | ||||
\(78\) | 4.43818 | − | 1.47192i | 0.502525 | − | 0.166662i | ||||
\(79\) | −5.72617 | + | 9.91802i | −0.644244 | + | 1.11586i | 0.340231 | + | 0.940342i | \(0.389495\pi\) |
−0.984475 | + | 0.175522i | \(0.943839\pi\) | |||||||
\(80\) | −1.84981 | + | 3.20397i | −0.206816 | + | 0.358215i | ||||
\(81\) | 6.18292 | + | 6.53999i | 0.686991 | + | 0.726666i | ||||
\(82\) | −2.05563 | − | 3.56046i | −0.227007 | − | 0.393187i | ||||
\(83\) | 2.23855 | + | 3.87728i | 0.245713 | + | 0.425587i | 0.962332 | − | 0.271878i | \(-0.0876447\pi\) |
−0.716619 | + | 0.697465i | \(0.754311\pi\) | |||||||
\(84\) | −1.08836 | + | 4.45146i | −0.118750 | + | 0.485694i | ||||
\(85\) | 12.1643 | − | 21.0693i | 1.31941 | − | 2.28528i | ||||
\(86\) | −0.0123797 | −0.00133494 | ||||||||
\(87\) | −4.12729 | + | 1.36881i | −0.442491 | + | 0.146752i | ||||
\(88\) | −1.47710 | −0.157459 | ||||||||
\(89\) | −4.43818 | − | 7.68715i | −0.470446 | − | 0.814836i | 0.528983 | − | 0.848633i | \(-0.322574\pi\) |
−0.999429 | + | 0.0337963i | \(0.989240\pi\) | |||||||
\(90\) | 8.89926 | − | 6.63238i | 0.938064 | − | 0.699114i | ||||
\(91\) | −3.34362 | − | 6.31159i | −0.350507 | − | 0.661634i | ||||
\(92\) | −3.14400 | − | 5.44556i | −0.327784 | − | 0.567739i | ||||
\(93\) | 11.1971 | − | 3.71351i | 1.16108 | − | 0.385073i | ||||
\(94\) | 3.49381 | + | 6.05146i | 0.360359 | + | 0.624160i | ||||
\(95\) | −1.64400 | − | 2.84748i | −0.168670 | − | 0.292146i | ||||
\(96\) | 1.64400 | − | 0.545231i | 0.167790 | − | 0.0556474i | ||||
\(97\) | −6.58836 | − | 11.4114i | −0.668947 | − | 1.15865i | −0.978199 | − | 0.207670i | \(-0.933412\pi\) |
0.309252 | − | 0.950980i | \(-0.399921\pi\) | |||||||
\(98\) | 6.98143 | + | 0.509538i | 0.705231 | + | 0.0514711i | ||||
\(99\) | 4.06979 | + | 1.75305i | 0.409030 | + | 0.176188i | ||||
\(100\) | −4.34362 | − | 7.52338i | −0.434362 | − | 0.752338i | ||||
\(101\) | 5.25457 | 0.522849 | 0.261425 | − | 0.965224i | \(-0.415808\pi\) | ||||
0.261425 | + | 0.965224i | \(0.415808\pi\) | |||||||
\(102\) | −10.8109 | + | 3.58543i | −1.07044 | + | 0.355011i | ||||
\(103\) | 1.66621 | 0.164176 | 0.0820882 | − | 0.996625i | \(-0.473841\pi\) | ||||
0.0820882 | + | 0.996625i | \(0.473841\pi\) | |||||||
\(104\) | −1.34981 | + | 2.33795i | −0.132360 | + | 0.229255i | ||||
\(105\) | −12.2491 | − | 11.7215i | −1.19539 | − | 1.14390i | ||||
\(106\) | −1.60507 | − | 2.78007i | −0.155899 | − | 0.270024i | ||||
\(107\) | −5.38255 | − | 9.32284i | −0.520350 | − | 0.901273i | −0.999720 | − | 0.0236602i | \(-0.992468\pi\) |
0.479370 | − | 0.877613i | \(-0.340865\pi\) | |||||||
\(108\) | −5.17673 | − | 0.448873i | −0.498131 | − | 0.0431929i | ||||
\(109\) | −0.0945538 | + | 0.163772i | −0.00905662 | + | 0.0156865i | −0.870518 | − | 0.492136i | \(-0.836216\pi\) |
0.861462 | + | 0.507823i | \(0.169550\pi\) | |||||||
\(110\) | 2.73236 | − | 4.73259i | 0.260520 | − | 0.451234i | ||||
\(111\) | 4.56615 | − | 1.51436i | 0.433400 | − | 0.143737i | ||||
\(112\) | −1.23855 | − | 2.33795i | −0.117032 | − | 0.220915i | ||||
\(113\) | −6.78180 | + | 11.7464i | −0.637978 | + | 1.10501i | 0.347897 | + | 0.937533i | \(0.386896\pi\) |
−0.985876 | + | 0.167478i | \(0.946438\pi\) | |||||||
\(114\) | −0.310892 | + | 1.50761i | −0.0291177 | + | 0.141201i | ||||
\(115\) | 23.2632 | 2.16931 | ||||||||
\(116\) | 1.25526 | − | 2.17417i | 0.116548 | − | 0.201867i | ||||
\(117\) | 6.49381 | − | 4.83967i | 0.600353 | − | 0.447427i | ||||
\(118\) | 6.90978 | 0.636097 | ||||||||
\(119\) | 8.14468 | + | 15.3743i | 0.746622 | + | 1.40936i | ||||
\(120\) | −1.29418 | + | 6.27589i | −0.118142 | + | 0.572908i | ||||
\(121\) | −8.81818 | −0.801652 | ||||||||
\(122\) | 2.86652 | + | 4.96497i | 0.259523 | + | 0.449507i | ||||
\(123\) | −5.32072 | − | 4.73259i | −0.479754 | − | 0.426723i | ||||
\(124\) | −3.40545 | + | 5.89841i | −0.305818 | + | 0.529692i | ||||
\(125\) | 13.6414 | 1.22013 | ||||||||
\(126\) | 0.637806 | + | 7.91159i | 0.0568203 | + | 0.704820i | ||||
\(127\) | −2.85669 | −0.253490 | −0.126745 | − | 0.991935i | \(-0.540453\pi\) | ||||
−0.126745 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.0203522 | + | 0.00674980i | −0.00179191 | + | 0.000594287i | ||||
\(130\) | −4.99381 | − | 8.64953i | −0.437986 | − | 0.758614i | ||||
\(131\) | 0.155687 | 0.0136024 | 0.00680122 | − | 0.999977i | \(-0.497835\pi\) | ||||
0.00680122 | + | 0.999977i | \(0.497835\pi\) | |||||||
\(132\) | −2.42835 | + | 0.805361i | −0.211360 | + | 0.0700977i | ||||
\(133\) | 2.34981 | + | 0.0856364i | 0.203755 | + | 0.00742562i | ||||
\(134\) | −9.46472 | −0.817627 | ||||||||
\(135\) | 11.0142 | − | 15.7558i | 0.947948 | − | 1.35604i | ||||
\(136\) | 3.28799 | − | 5.69497i | 0.281943 | − | 0.488340i | ||||
\(137\) | −3.41164 | −0.291476 | −0.145738 | − | 0.989323i | \(-0.546556\pi\) | ||||
−0.145738 | + | 0.989323i | \(0.546556\pi\) | |||||||
\(138\) | −8.13781 | − | 7.23828i | −0.692736 | − | 0.616163i | ||||
\(139\) | −6.75526 | + | 11.7005i | −0.572974 | + | 0.992420i | 0.423285 | + | 0.905997i | \(0.360877\pi\) |
−0.996259 | + | 0.0864229i | \(0.972456\pi\) | |||||||
\(140\) | 9.78180 | + | 0.356487i | 0.826713 | + | 0.0301287i | ||||
\(141\) | 9.04325 | + | 8.04364i | 0.761579 | + | 0.677396i | ||||
\(142\) | 2.73236 | − | 4.73259i | 0.229295 | − | 0.397150i | ||||
\(143\) | 1.99381 | − | 3.45338i | 0.166731 | − | 0.288786i | ||||
\(144\) | 2.40545 | − | 1.79272i | 0.200454 | − | 0.149393i | ||||
\(145\) | 4.64400 | + | 8.04364i | 0.385663 | + | 0.667988i | ||||
\(146\) | −6.03273 | − | 10.4490i | −0.499272 | − | 0.864765i | ||||
\(147\) | 11.7553 | − | 2.96881i | 0.969558 | − | 0.244864i | ||||
\(148\) | −1.38874 | + | 2.40536i | −0.114153 | + | 0.197719i | ||||
\(149\) | 0.333792 | 0.0273453 | 0.0136727 | − | 0.999907i | \(-0.495648\pi\) | ||||
0.0136727 | + | 0.999907i | \(0.495648\pi\) | |||||||
\(150\) | −11.2429 | − | 10.0001i | −0.917977 | − | 0.816507i | ||||
\(151\) | −19.9098 | −1.62023 | −0.810117 | − | 0.586268i | \(-0.800597\pi\) | ||||
−0.810117 | + | 0.586268i | \(0.800597\pi\) | |||||||
\(152\) | −0.444368 | − | 0.769668i | −0.0360430 | − | 0.0624283i | ||||
\(153\) | −15.8182 | + | 11.7889i | −1.27882 | + | 0.953074i | ||||
\(154\) | 1.82946 | + | 3.45338i | 0.147422 | + | 0.278281i | ||||
\(155\) | −12.5989 | − | 21.8219i | −1.01197 | − | 1.75278i | ||||
\(156\) | −0.944368 | + | 4.57954i | −0.0756099 | + | 0.366656i | ||||
\(157\) | 3.48143 | + | 6.03001i | 0.277848 | + | 0.481248i | 0.970850 | − | 0.239689i | \(-0.0770454\pi\) |
−0.693001 | + | 0.720936i | \(0.743712\pi\) | |||||||
\(158\) | −5.72617 | − | 9.91802i | −0.455550 | − | 0.789035i | ||||
\(159\) | −4.15452 | − | 3.69529i | −0.329475 | − | 0.293055i | ||||
\(160\) | −1.84981 | − | 3.20397i | −0.146241 | − | 0.253296i | ||||
\(161\) | −8.83743 | + | 14.0951i | −0.696487 | + | 1.11085i | ||||
\(162\) | −8.75526 | + | 2.08457i | −0.687878 | + | 0.163779i | ||||
\(163\) | 4.03706 | + | 6.99240i | 0.316207 | + | 0.547687i | 0.979693 | − | 0.200502i | \(-0.0642572\pi\) |
−0.663486 | + | 0.748189i | \(0.730924\pi\) | |||||||
\(164\) | 4.11126 | 0.321036 | ||||||||
\(165\) | 1.91164 | − | 9.27012i | 0.148821 | − | 0.721678i | ||||
\(166\) | −4.47710 | −0.347490 | ||||||||
\(167\) | 9.74288 | − | 16.8752i | 0.753927 | − | 1.30584i | −0.191979 | − | 0.981399i | \(-0.561491\pi\) |
0.945906 | − | 0.324440i | \(-0.105176\pi\) | |||||||
\(168\) | −3.31089 | − | 3.16828i | −0.255441 | − | 0.244438i | ||||
\(169\) | 2.85600 | + | 4.94674i | 0.219693 | + | 0.380519i | ||||
\(170\) | 12.1643 | + | 21.0693i | 0.932963 | + | 1.61594i | ||||
\(171\) | 0.310892 | + | 2.64802i | 0.0237745 | + | 0.202499i | ||||
\(172\) | 0.00618986 | − | 0.0107211i | 0.000471972 | − | 0.000817480i | ||||
\(173\) | −11.2818 | + | 19.5407i | −0.857740 | + | 1.48565i | 0.0163405 | + | 0.999866i | \(0.494798\pi\) |
−0.874080 | + | 0.485782i | \(0.838535\pi\) | |||||||
\(174\) | 0.878215 | − | 4.25874i | 0.0665773 | − | 0.322854i | ||||
\(175\) | −12.2095 | + | 19.4732i | −0.922948 | + | 1.47204i | ||||
\(176\) | 0.738550 | − | 1.27921i | 0.0556703 | − | 0.0964238i | ||||
\(177\) | 11.3596 | − | 3.76742i | 0.853843 | − | 0.283177i | ||||
\(178\) | 8.87636 | 0.665311 | ||||||||
\(179\) | 0.166896 | − | 0.289073i | 0.0124744 | − | 0.0216063i | −0.859721 | − | 0.510764i | \(-0.829363\pi\) |
0.872195 | + | 0.489158i | \(0.162696\pi\) | |||||||
\(180\) | 1.29418 | + | 11.0232i | 0.0964626 | + | 0.821619i | ||||
\(181\) | 23.2422 | 1.72758 | 0.863789 | − | 0.503853i | \(-0.168085\pi\) | ||||
0.863789 | + | 0.503853i | \(0.168085\pi\) | |||||||
\(182\) | 7.13781 | + | 0.260130i | 0.529089 | + | 0.0192821i | ||||
\(183\) | 7.41961 | + | 6.59947i | 0.548473 | + | 0.487847i | ||||
\(184\) | 6.28799 | 0.463557 | ||||||||
\(185\) | −5.13781 | − | 8.89894i | −0.377739 | − | 0.654263i | ||||
\(186\) | −2.38255 | + | 11.5537i | −0.174697 | + | 0.847159i | ||||
\(187\) | −4.85669 | + | 8.41204i | −0.355157 | + | 0.615149i | ||||
\(188\) | −6.98762 | −0.509625 | ||||||||
\(189\) | 5.36219 | + | 12.6589i | 0.390042 | + | 0.920797i | ||||
\(190\) | 3.28799 | 0.238536 | ||||||||
\(191\) | 8.16071 | − | 14.1348i | 0.590488 | − | 1.02276i | −0.403679 | − | 0.914901i | \(-0.632269\pi\) |
0.994167 | − | 0.107854i | \(-0.0343980\pi\) | |||||||
\(192\) | −0.349814 | + | 1.69636i | −0.0252457 | + | 0.122424i | ||||
\(193\) | 7.16071 | + | 12.4027i | 0.515439 | + | 0.892766i | 0.999839 | + | 0.0179200i | \(0.00570443\pi\) |
−0.484400 | + | 0.874846i | \(0.660962\pi\) | |||||||
\(194\) | 13.1767 | 0.946034 | ||||||||
\(195\) | −12.9258 | − | 11.4970i | −0.925636 | − | 0.823319i | ||||
\(196\) | −3.93199 | + | 5.79133i | −0.280856 | + | 0.413666i | ||||
\(197\) | 2.42402 | 0.172704 | 0.0863520 | − | 0.996265i | \(-0.472479\pi\) | ||||
0.0863520 | + | 0.996265i | \(0.472479\pi\) | |||||||
\(198\) | −3.55308 | + | 2.64802i | −0.252507 | + | 0.188187i | ||||
\(199\) | −3.05563 | + | 5.29251i | −0.216608 | + | 0.375176i | −0.953769 | − | 0.300541i | \(-0.902833\pi\) |
0.737161 | + | 0.675717i | \(0.236166\pi\) | |||||||
\(200\) | 8.68725 | 0.614281 | ||||||||
\(201\) | −15.5600 | + | 5.16046i | −1.09752 | + | 0.363991i | ||||
\(202\) | −2.62729 | + | 4.55059i | −0.184855 | + | 0.320179i | ||||
\(203\) | −6.63781 | − | 0.241908i | −0.465883 | − | 0.0169786i | ||||
\(204\) | 2.30037 | − | 11.1552i | 0.161058 | − | 0.781022i | ||||
\(205\) | −7.60507 | + | 13.1724i | −0.531161 | + | 0.919999i | ||||
\(206\) | −0.833104 | + | 1.44298i | −0.0580451 | + | 0.100537i | ||||
\(207\) | −17.3251 | − | 7.46271i | −1.20417 | − | 0.518694i | ||||
\(208\) | −1.34981 | − | 2.33795i | −0.0935928 | − | 0.162107i | ||||
\(209\) | 0.656376 | + | 1.13688i | 0.0454025 | + | 0.0786394i | ||||
\(210\) | 16.2756 | − | 4.74728i | 1.12312 | − | 0.327593i | ||||
\(211\) | 5.72253 | − | 9.91171i | 0.393955 | − | 0.682350i | −0.599012 | − | 0.800740i | \(-0.704440\pi\) |
0.992967 | + | 0.118390i | \(0.0377732\pi\) | |||||||
\(212\) | 3.21015 | 0.220474 | ||||||||
\(213\) | 1.91164 | − | 9.27012i | 0.130983 | − | 0.635178i | ||||
\(214\) | 10.7651 | 0.735887 | ||||||||
\(215\) | 0.0229002 | + | 0.0396643i | 0.00156178 | + | 0.00270508i | ||||
\(216\) | 2.97710 | − | 4.25874i | 0.202566 | − | 0.289771i | ||||
\(217\) | 18.0080 | + | 0.656281i | 1.22246 | + | 0.0445513i | ||||
\(218\) | −0.0945538 | − | 0.163772i | −0.00640399 | − | 0.0110920i | ||||
\(219\) | −15.6149 | − | 13.8889i | −1.05516 | − | 0.938523i | ||||
\(220\) | 2.73236 | + | 4.73259i | 0.184216 | + | 0.319071i | ||||
\(221\) | 8.87636 | + | 15.3743i | 0.597088 | + | 1.03419i | ||||
\(222\) | −0.971599 | + | 4.71159i | −0.0652094 | + | 0.316221i | ||||
\(223\) | −3.61126 | − | 6.25489i | −0.241828 | − | 0.418859i | 0.719407 | − | 0.694589i | \(-0.244414\pi\) |
−0.961235 | + | 0.275730i | \(0.911080\pi\) | |||||||
\(224\) | 2.64400 | + | 0.0963576i | 0.176659 | + | 0.00643816i | ||||
\(225\) | −23.9356 | − | 10.3102i | −1.59571 | − | 0.687347i | ||||
\(226\) | −6.78180 | − | 11.7464i | −0.451119 | − | 0.781361i | ||||
\(227\) | 13.6552 | 0.906328 | 0.453164 | − | 0.891427i | \(-0.350295\pi\) | ||||
0.453164 | + | 0.891427i | \(0.350295\pi\) | |||||||
\(228\) | −1.15019 | − | 1.02305i | −0.0761729 | − | 0.0677530i | ||||
\(229\) | 17.3745 | 1.14814 | 0.574070 | − | 0.818807i | \(-0.305364\pi\) | ||||
0.574070 | + | 0.818807i | \(0.305364\pi\) | |||||||
\(230\) | −11.6316 | + | 20.1466i | −0.766966 | + | 1.32842i | ||||
\(231\) | 4.89052 | + | 4.67986i | 0.321772 | + | 0.307912i | ||||
\(232\) | 1.25526 | + | 2.17417i | 0.0824119 | + | 0.142742i | ||||
\(233\) | 7.62110 | + | 13.2001i | 0.499275 | + | 0.864769i | 1.00000 | 0.000837426i | \(-0.000266561\pi\) | |
−0.500725 | + | 0.865606i | \(0.666933\pi\) | |||||||
\(234\) | 0.944368 | + | 8.04364i | 0.0617353 | + | 0.525829i | ||||
\(235\) | 12.9258 | − | 22.3881i | 0.843186 | − | 1.46044i | ||||
\(236\) | −3.45489 | + | 5.98404i | −0.224894 | + | 0.389528i | ||||
\(237\) | −14.8214 | − | 13.1831i | −0.962754 | − | 0.856334i | ||||
\(238\) | −17.3869 | − | 0.633646i | −1.12702 | − | 0.0410732i | ||||
\(239\) | 9.47524 | − | 16.4116i | 0.612902 | − | 1.06158i | −0.377846 | − | 0.925868i | \(-0.623335\pi\) |
0.990749 | − | 0.135710i | \(-0.0433314\pi\) | |||||||
\(240\) | −4.78799 | − | 4.25874i | −0.309064 | − | 0.274901i | ||||
\(241\) | −24.5054 | −1.57853 | −0.789267 | − | 0.614051i | \(-0.789539\pi\) | ||||
−0.789267 | + | 0.614051i | \(0.789539\pi\) | |||||||
\(242\) | 4.40909 | − | 7.63676i | 0.283427 | − | 0.490910i | ||||
\(243\) | −13.2570 | + | 8.20066i | −0.850440 | + | 0.526073i | ||||
\(244\) | −5.73305 | −0.367021 | ||||||||
\(245\) | −11.2818 | − | 23.3109i | −0.720768 | − | 1.48928i | ||||
\(246\) | 6.75890 | − | 2.24159i | 0.430932 | − | 0.142918i | ||||
\(247\) | 2.39926 | 0.152661 | ||||||||
\(248\) | −3.40545 | − | 5.89841i | −0.216246 | − | 0.374549i | ||||
\(249\) | −7.36033 | + | 2.44105i | −0.466442 | + | 0.154696i | ||||
\(250\) | −6.82072 | + | 11.8138i | −0.431380 | + | 0.747173i | ||||
\(251\) | −12.1236 | −0.765238 | −0.382619 | − | 0.923906i | \(-0.624978\pi\) | ||||
−0.382619 | + | 0.923906i | \(0.624978\pi\) | |||||||
\(252\) | −7.17054 | − | 3.40344i | −0.451701 | − | 0.214396i | ||||
\(253\) | −9.28799 | −0.583931 | ||||||||
\(254\) | 1.42835 | − | 2.47397i | 0.0896224 | − | 0.155231i | ||||
\(255\) | 31.4858 | + | 28.0054i | 1.97171 | + | 1.75377i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −8.20877 | −0.512049 | −0.256025 | − | 0.966670i | \(-0.582413\pi\) | ||||
−0.256025 | + | 0.966670i | \(0.582413\pi\) | |||||||
\(258\) | 0.00433060 | − | 0.0210004i | 0.000269611 | − | 0.00130743i | ||||
\(259\) | 7.34362 | + | 0.267630i | 0.456311 | + | 0.0166297i | ||||
\(260\) | 9.98762 | 0.619406 | ||||||||
\(261\) | −0.878215 | − | 7.48018i | −0.0543602 | − | 0.463012i | ||||
\(262\) | −0.0778435 | + | 0.134829i | −0.00480919 | + | 0.00832976i | ||||
\(263\) | −5.34617 | −0.329659 | −0.164830 | − | 0.986322i | \(-0.552707\pi\) | ||||
−0.164830 | + | 0.986322i | \(0.552707\pi\) | |||||||
\(264\) | 0.516710 | − | 2.50569i | 0.0318013 | − | 0.154215i | ||||
\(265\) | −5.93818 | + | 10.2852i | −0.364779 | + | 0.631816i | ||||
\(266\) | −1.24907 | + | 1.99218i | −0.0765854 | + | 0.122148i | ||||
\(267\) | 14.5927 | − | 4.83967i | 0.893058 | − | 0.296183i | ||||
\(268\) | 4.73236 | − | 8.19669i | 0.289075 | − | 0.500692i | ||||
\(269\) | 9.24219 | − | 16.0079i | 0.563506 | − | 0.976022i | −0.433681 | − | 0.901067i | \(-0.642785\pi\) |
0.997187 | − | 0.0749550i | \(-0.0238813\pi\) | |||||||
\(270\) | 8.13781 | + | 17.4164i | 0.495251 | + | 1.05993i | ||||
\(271\) | −3.67742 | − | 6.36947i | −0.223387 | − | 0.386918i | 0.732447 | − | 0.680824i | \(-0.238378\pi\) |
−0.955834 | + | 0.293906i | \(0.905045\pi\) | |||||||
\(272\) | 3.28799 | + | 5.69497i | 0.199364 | + | 0.345308i | ||||
\(273\) | 11.8764 | − | 3.46410i | 0.718790 | − | 0.209657i | ||||
\(274\) | 1.70582 | − | 2.95456i | 0.103052 | − | 0.178492i | ||||
\(275\) | −12.8319 | −0.773795 | ||||||||
\(276\) | 10.3374 | − | 3.42841i | 0.622240 | − | 0.206366i | ||||
\(277\) | −9.09888 | −0.546699 | −0.273349 | − | 0.961915i | \(-0.588132\pi\) | ||||
−0.273349 | + | 0.961915i | \(0.588132\pi\) | |||||||
\(278\) | −6.75526 | − | 11.7005i | −0.405154 | − | 0.701747i | ||||
\(279\) | 2.38255 | + | 20.2933i | 0.142639 | + | 1.21493i | ||||
\(280\) | −5.19963 | + | 8.29305i | −0.310737 | + | 0.495604i | ||||
\(281\) | 6.00433 | + | 10.3998i | 0.358188 | + | 0.620400i | 0.987658 | − | 0.156624i | \(-0.0500612\pi\) |
−0.629470 | + | 0.777025i | \(0.716728\pi\) | |||||||
\(282\) | −11.4876 | + | 3.80987i | −0.684078 | + | 0.226874i | ||||
\(283\) | −4.92147 | − | 8.52423i | −0.292551 | − | 0.506713i | 0.681861 | − | 0.731481i | \(-0.261171\pi\) |
−0.974412 | + | 0.224768i | \(0.927837\pi\) | |||||||
\(284\) | 2.73236 | + | 4.73259i | 0.162136 | + | 0.280827i | ||||
\(285\) | 5.40545 | − | 1.79272i | 0.320191 | − | 0.106191i | ||||
\(286\) | 1.99381 | + | 3.45338i | 0.117896 | + | 0.204203i | ||||
\(287\) | −5.09201 | − | 9.61192i | −0.300572 | − | 0.567373i | ||||
\(288\) | 0.349814 | + | 2.97954i | 0.0206130 | + | 0.175571i | ||||
\(289\) | −13.1218 | − | 22.7276i | −0.771870 | − | 1.33692i | ||||
\(290\) | −9.28799 | −0.545410 | ||||||||
\(291\) | 21.6625 | − | 7.18436i | 1.26988 | − | 0.421155i | ||||
\(292\) | 12.0655 | 0.706078 | ||||||||
\(293\) | 10.7101 | − | 18.5505i | 0.625694 | − | 1.08373i | −0.362713 | − | 0.931901i | \(-0.618149\pi\) |
0.988406 | − | 0.151832i | \(-0.0485173\pi\) | |||||||
\(294\) | −3.30656 | + | 11.6648i | −0.192843 | + | 0.680303i | ||||
\(295\) | −12.7818 | − | 22.1387i | −0.744185 | − | 1.28897i | ||||
\(296\) | −1.38874 | − | 2.40536i | −0.0807186 | − | 0.139809i | ||||
\(297\) | −4.39747 | + | 6.29059i | −0.255167 | + | 0.365017i | ||||
\(298\) | −0.166896 | + | 0.289073i | −0.00966804 | + | 0.0167455i | ||||
\(299\) | −8.48762 | + | 14.7010i | −0.490852 | + | 0.850180i | ||||
\(300\) | 14.2818 | − | 4.73656i | 0.824560 | − | 0.273465i | ||||
\(301\) | −0.0327319 | − | 0.00119288i | −0.00188664 | − | 6.87564e-5i | ||||
\(302\) | 9.95489 | − | 17.2424i | 0.572839 | − | 0.992187i | ||||
\(303\) | −1.83812 | + | 8.91363i | −0.105597 | + | 0.512075i | ||||
\(304\) | 0.888736 | 0.0509725 | ||||||||
\(305\) | 10.6051 | − | 18.3685i | 0.607245 | − | 1.05178i | ||||
\(306\) | −2.30037 | − | 19.5934i | −0.131504 | − | 1.12008i | ||||
\(307\) | −5.68725 | −0.324588 | −0.162294 | − | 0.986742i | \(-0.551889\pi\) | ||||
−0.162294 | + | 0.986742i | \(0.551889\pi\) | |||||||
\(308\) | −3.90545 | − | 0.142330i | −0.222533 | − | 0.00810999i | ||||
\(309\) | −0.582863 | + | 2.82648i | −0.0331579 | + | 0.160793i | ||||
\(310\) | 25.1978 | 1.43114 | ||||||||
\(311\) | 5.86033 | + | 10.1504i | 0.332309 | + | 0.575576i | 0.982964 | − | 0.183797i | \(-0.0588390\pi\) |
−0.650655 | + | 0.759373i | \(0.725506\pi\) | |||||||
\(312\) | −3.49381 | − | 3.10761i | −0.197798 | − | 0.175934i | ||||
\(313\) | 13.3869 | − | 23.1868i | 0.756671 | − | 1.31059i | −0.187868 | − | 0.982194i | \(-0.560158\pi\) |
0.944539 | − | 0.328398i | \(-0.106509\pi\) | |||||||
\(314\) | −6.96286 | −0.392937 | ||||||||
\(315\) | 24.1687 | − | 16.6785i | 1.36175 | − | 0.939726i | ||||
\(316\) | 11.4523 | 0.644244 | ||||||||
\(317\) | −0.951246 | + | 1.64761i | −0.0534273 | + | 0.0925388i | −0.891502 | − | 0.453016i | \(-0.850348\pi\) |
0.838075 | + | 0.545555i | \(0.183681\pi\) | |||||||
\(318\) | 5.27747 | − | 1.75027i | 0.295946 | − | 0.0981504i | ||||
\(319\) | −1.85414 | − | 3.21147i | −0.103812 | − | 0.179808i | ||||
\(320\) | 3.69963 | 0.206816 | ||||||||
\(321\) | 17.6978 | − | 5.86946i | 0.987793 | − | 0.327601i | ||||
\(322\) | −7.78799 | − | 14.7010i | −0.434008 | − | 0.819254i | ||||
\(323\) | −5.84431 | −0.325186 | ||||||||
\(324\) | 2.57234 | − | 8.62456i | 0.142908 | − | 0.479142i | ||||
\(325\) | −11.7262 | + | 20.3103i | −0.650451 | + | 1.12661i | ||||
\(326\) | −8.07413 | −0.447184 | ||||||||
\(327\) | −0.244740 | − | 0.217687i | −0.0135341 | − | 0.0120381i | ||||
\(328\) | −2.05563 | + | 3.56046i | −0.113503 | + | 0.196593i | ||||
\(329\) | 8.65452 | + | 16.3367i | 0.477139 | + | 0.900670i | ||||
\(330\) | 7.07234 | + | 6.29059i | 0.389320 | + | 0.346285i | ||||
\(331\) | −2.78366 | + | 4.82144i | −0.153004 | + | 0.265010i | −0.932330 | − | 0.361608i | \(-0.882228\pi\) |
0.779327 | + | 0.626618i | \(0.215561\pi\) | |||||||
\(332\) | 2.23855 | − | 3.87728i | 0.122856 | − | 0.212794i | ||||
\(333\) | 0.971599 | + | 8.27557i | 0.0532433 | + | 0.453499i | ||||
\(334\) | 9.74288 | + | 16.8752i | 0.533107 | + | 0.923368i | ||||
\(335\) | 17.5080 | + | 30.3247i | 0.956563 | + | 1.65682i | ||||
\(336\) | 4.39926 | − | 1.28318i | 0.239999 | − | 0.0700031i | ||||
\(337\) | −16.8869 | + | 29.2489i | −0.919887 | + | 1.59329i | −0.120302 | + | 0.992737i | \(0.538386\pi\) |
−0.799585 | + | 0.600553i | \(0.794947\pi\) | |||||||
\(338\) | −5.71201 | −0.310692 | ||||||||
\(339\) | −17.5538 | − | 15.6134i | −0.953390 | − | 0.848005i | ||||
\(340\) | −24.3287 | −1.31941 | ||||||||
\(341\) | 5.03018 | + | 8.71253i | 0.272400 | + | 0.471810i | ||||
\(342\) | −2.44870 | − | 1.05477i | −0.132410 | − | 0.0570354i | ||||
\(343\) | 18.4098 | + | 2.01993i | 0.994035 | + | 0.109066i | ||||
\(344\) | 0.00618986 | + | 0.0107211i | 0.000333735 | + | 0.000578045i | ||||
\(345\) | −8.13781 | + | 39.4628i | −0.438125 | + | 2.12460i | ||||
\(346\) | −11.2818 | − | 19.5407i | −0.606513 | − | 1.05051i | ||||
\(347\) | 15.2033 | + | 26.3328i | 0.816154 | + | 1.41362i | 0.908496 | + | 0.417893i | \(0.137231\pi\) |
−0.0923418 | + | 0.995727i | \(0.529435\pi\) | |||||||
\(348\) | 3.24907 | + | 2.88993i | 0.174168 | + | 0.154916i | ||||
\(349\) | −6.29782 | − | 10.9082i | −0.337115 | − | 0.583900i | 0.646774 | − | 0.762682i | \(-0.276118\pi\) |
−0.983889 | + | 0.178782i | \(0.942784\pi\) | |||||||
\(350\) | −10.7596 | − | 20.3103i | −0.575124 | − | 1.08563i | ||||
\(351\) | 5.93818 | + | 12.7088i | 0.316956 | + | 0.678346i | ||||
\(352\) | 0.738550 | + | 1.27921i | 0.0393648 | + | 0.0681819i | ||||
\(353\) | −7.53156 | −0.400865 | −0.200432 | − | 0.979708i | \(-0.564235\pi\) | ||||
−0.200432 | + | 0.979708i | \(0.564235\pi\) | |||||||
\(354\) | −2.41714 | + | 11.7215i | −0.128469 | + | 0.622988i | ||||
\(355\) | −20.2174 | −1.07303 | ||||||||
\(356\) | −4.43818 | + | 7.68715i | −0.235223 | + | 0.407418i | ||||
\(357\) | −28.9294 | + | 8.43815i | −1.53111 | + | 0.446594i | ||||
\(358\) | 0.166896 | + | 0.289073i | 0.00882074 | + | 0.0152780i | ||||
\(359\) | −3.44801 | − | 5.97213i | −0.181979 | − | 0.315197i | 0.760575 | − | 0.649250i | \(-0.224917\pi\) |
−0.942554 | + | 0.334053i | \(0.891584\pi\) | |||||||
\(360\) | −10.1934 | − | 4.39079i | −0.537241 | − | 0.231415i | ||||
\(361\) | 9.10507 | − | 15.7705i | 0.479214 | − | 0.830024i | ||||
\(362\) | −11.6211 | + | 20.1283i | −0.610791 | + | 1.05792i | ||||
\(363\) | 3.08472 | − | 14.9588i | 0.161906 | − | 0.785132i | ||||
\(364\) | −3.79418 | + | 6.05146i | −0.198869 | + | 0.317183i | ||||
\(365\) | −22.3189 | + | 38.6574i | −1.16822 | + | 2.02342i | ||||
\(366\) | −9.42511 | + | 3.12584i | −0.492658 | + | 0.163390i | ||||
\(367\) | 23.1236 | 1.20704 | 0.603522 | − | 0.797346i | \(-0.293763\pi\) | ||||
0.603522 | + | 0.797346i | \(0.293763\pi\) | |||||||
\(368\) | −3.14400 | + | 5.44556i | −0.163892 | + | 0.283869i | ||||
\(369\) | 9.88942 | − | 7.37033i | 0.514823 | − | 0.383684i | ||||
\(370\) | 10.2756 | 0.534204 | ||||||||
\(371\) | −3.97593 | − | 7.50516i | −0.206420 | − | 0.389648i | ||||
\(372\) | −8.81453 | − | 7.84020i | −0.457012 | − | 0.406495i | ||||
\(373\) | 29.1643 | 1.51007 | 0.755036 | − | 0.655683i | \(-0.227619\pi\) | ||||
0.755036 | + | 0.655683i | \(0.227619\pi\) | |||||||
\(374\) | −4.85669 | − | 8.41204i | −0.251134 | − | 0.434976i | ||||
\(375\) | −4.77197 | + | 23.1408i | −0.246423 | + | 1.19498i | ||||
\(376\) | 3.49381 | − | 6.05146i | 0.180180 | − | 0.312080i | ||||
\(377\) | −6.77747 | −0.349058 | ||||||||
\(378\) | −13.6440 | − | 1.68564i | −0.701771 | − | 0.0866998i | ||||
\(379\) | −13.5622 | −0.696645 | −0.348322 | − | 0.937375i | \(-0.613249\pi\) | ||||
−0.348322 | + | 0.937375i | \(0.613249\pi\) | |||||||
\(380\) | −1.64400 | + | 2.84748i | −0.0843352 | + | 0.146073i | ||||
\(381\) | 0.999311 | − | 4.84597i | 0.0511963 | − | 0.248267i | ||||
\(382\) | 8.16071 | + | 14.1348i | 0.417538 | + | 0.723197i | ||||
\(383\) | −2.83565 | −0.144895 | −0.0724475 | − | 0.997372i | \(-0.523081\pi\) | ||||
−0.0724475 | + | 0.997372i | \(0.523081\pi\) | |||||||
\(384\) | −1.29418 | − | 1.15113i | −0.0660434 | − | 0.0587432i | ||||
\(385\) | 7.68037 | − | 12.2497i | 0.391428 | − | 0.624300i | ||||
\(386\) | −14.3214 | −0.728941 | ||||||||
\(387\) | −0.00433060 | − | 0.0368858i | −0.000220137 | − | 0.00187501i | ||||
\(388\) | −6.58836 | + | 11.4114i | −0.334474 | + | 0.579325i | ||||
\(389\) | −18.6080 | −0.943464 | −0.471732 | − | 0.881742i | \(-0.656371\pi\) | ||||
−0.471732 | + | 0.881742i | \(0.656371\pi\) | |||||||
\(390\) | 16.4196 | − | 5.44556i | 0.831439 | − | 0.275747i | ||||
\(391\) | 20.6749 | − | 35.8099i | 1.04557 | − | 1.81099i | ||||
\(392\) | −3.04944 | − | 6.30087i | −0.154020 | − | 0.318242i | ||||
\(393\) | −0.0544615 | + | 0.264101i | −0.00274722 | + | 0.0133221i | ||||
\(394\) | −1.21201 | + | 2.09926i | −0.0610601 | + | 0.105759i | ||||
\(395\) | −21.1847 | + | 36.6930i | −1.06592 | + | 1.84622i | ||||
\(396\) | −0.516710 | − | 4.40107i | −0.0259657 | − | 0.221162i | ||||
\(397\) | −10.2880 | − | 17.8193i | −0.516340 | − | 0.894326i | −0.999820 | − | 0.0189712i | \(-0.993961\pi\) |
0.483481 | − | 0.875355i | \(-0.339372\pi\) | |||||||
\(398\) | −3.05563 | − | 5.29251i | −0.153165 | − | 0.265290i | ||||
\(399\) | −0.967268 | + | 3.95617i | −0.0484240 | + | 0.198056i | ||||
\(400\) | −4.34362 | + | 7.52338i | −0.217181 | + | 0.376169i | ||||
\(401\) | −6.75409 | −0.337283 | −0.168642 | − | 0.985677i | \(-0.553938\pi\) | ||||
−0.168642 | + | 0.985677i | \(0.553938\pi\) | |||||||
\(402\) | 3.31089 | − | 16.0556i | 0.165132 | − | 0.800778i | ||||
\(403\) | 18.3869 | 0.915916 | ||||||||
\(404\) | −2.62729 | − | 4.55059i | −0.130712 | − | 0.226400i | ||||
\(405\) | 22.8745 | + | 24.1955i | 1.13664 | + | 1.20229i | ||||
\(406\) | 3.52840 | − | 5.62755i | 0.175112 | − | 0.279291i | ||||
\(407\) | 2.05130 | + | 3.55296i | 0.101679 | + | 0.176114i | ||||
\(408\) | 8.51052 | + | 7.56979i | 0.421334 | + | 0.374761i | ||||
\(409\) | −7.66071 | − | 13.2687i | −0.378798 | − | 0.656097i | 0.612090 | − | 0.790788i | \(-0.290329\pi\) |
−0.990888 | + | 0.134691i | \(0.956996\pi\) | |||||||
\(410\) | −7.60507 | − | 13.1724i | −0.375588 | − | 0.650537i | ||||
\(411\) | 1.19344 | − | 5.78736i | 0.0588680 | − | 0.285469i | ||||
\(412\) | −0.833104 | − | 1.44298i | −0.0410441 | − | 0.0710904i | ||||
\(413\) | 18.2694 | + | 0.665809i | 0.898980 | + | 0.0327623i | ||||
\(414\) | 15.1254 | − | 11.2726i | 0.743374 | − | 0.554017i | ||||
\(415\) | 8.28180 | + | 14.3445i | 0.406538 | + | 0.704144i | ||||
\(416\) | 2.69963 | 0.132360 | ||||||||
\(417\) | −17.4851 | − | 15.5523i | −0.856248 | − | 0.761601i | ||||
\(418\) | −1.31275 | −0.0642088 | ||||||||
\(419\) | −4.32141 | + | 7.48491i | −0.211115 | + | 0.365662i | −0.952064 | − | 0.305900i | \(-0.901043\pi\) |
0.740949 | + | 0.671561i | \(0.234376\pi\) | |||||||
\(420\) | −4.02654 | + | 16.4687i | −0.196475 | + | 0.803592i | ||||
\(421\) | 18.5636 | + | 32.1531i | 0.904735 | + | 1.56705i | 0.821273 | + | 0.570536i | \(0.193264\pi\) |
0.0834618 | + | 0.996511i | \(0.473402\pi\) | |||||||
\(422\) | 5.72253 | + | 9.91171i | 0.278568 | + | 0.482494i | ||||
\(423\) | −16.8083 | + | 12.5268i | −0.817250 | + | 0.609075i | ||||
\(424\) | −1.60507 | + | 2.78007i | −0.0779493 | + | 0.135012i | ||||
\(425\) | 28.5636 | − | 49.4736i | 1.38554 | − | 2.39982i | ||||
\(426\) | 7.07234 | + | 6.29059i | 0.342656 | + | 0.304780i | ||||
\(427\) | 7.10067 | + | 13.4036i | 0.343625 | + | 0.648644i | ||||
\(428\) | −5.38255 | + | 9.32284i | −0.260175 | + | 0.450637i | ||||
\(429\) | 5.16071 | + | 4.59026i | 0.249161 | + | 0.221620i | ||||
\(430\) | −0.0458003 | −0.00220869 | ||||||||
\(431\) | −4.71015 | + | 8.15822i | −0.226880 | + | 0.392967i | −0.956882 | − | 0.290478i | \(-0.906186\pi\) |
0.730002 | + | 0.683445i | \(0.239519\pi\) | |||||||
\(432\) | 2.19963 | + | 4.70761i | 0.105830 | + | 0.226495i | ||||
\(433\) | −0.208771 | −0.0100329 | −0.00501645 | − | 0.999987i | \(-0.501597\pi\) | ||||
−0.00501645 | + | 0.999987i | \(0.501597\pi\) | |||||||
\(434\) | −9.57234 | + | 15.2672i | −0.459487 | + | 0.732850i | ||||
\(435\) | −15.2694 | + | 5.06410i | −0.732113 | + | 0.242805i | ||||
\(436\) | 0.189108 | 0.00905662 | ||||||||
\(437\) | −2.79418 | − | 4.83967i | −0.133664 | − | 0.231513i | ||||
\(438\) | 19.8356 | − | 6.57847i | 0.947780 | − | 0.314331i | ||||
\(439\) | 4.98398 | − | 8.63250i | 0.237872 | − | 0.412007i | −0.722231 | − | 0.691652i | \(-0.756883\pi\) |
0.960104 | + | 0.279645i | \(0.0902167\pi\) | |||||||
\(440\) | −5.46472 | −0.260520 | ||||||||
\(441\) | 0.924016 | + | 20.9797i | 0.0440007 | + | 0.999031i | ||||
\(442\) | −17.7527 | −0.844410 | ||||||||
\(443\) | 7.84981 | − | 13.5963i | 0.372956 | − | 0.645979i | −0.617063 | − | 0.786914i | \(-0.711678\pi\) |
0.990019 | + | 0.140935i | \(0.0450109\pi\) | |||||||
\(444\) | −3.59455 | − | 3.19722i | −0.170590 | − | 0.151733i | ||||
\(445\) | −16.4196 | − | 28.4396i | −0.778364 | − | 1.34817i | ||||
\(446\) | 7.22253 | 0.341997 | ||||||||
\(447\) | −0.116765 | + | 0.566231i | −0.00552281 | + | 0.0267818i | ||||
\(448\) | −1.40545 | + | 2.24159i | −0.0664011 | + | 0.105905i | ||||
\(449\) | 33.6253 | 1.58688 | 0.793439 | − | 0.608650i | \(-0.208288\pi\) | ||||
0.793439 | + | 0.608650i | \(0.208288\pi\) | |||||||
\(450\) | 20.8967 | − | 15.5738i | 0.985080 | − | 0.734154i | ||||
\(451\) | 3.03637 | − | 5.25915i | 0.142977 | − | 0.247644i | ||||
\(452\) | 13.5636 | 0.637978 | ||||||||
\(453\) | 6.96472 | − | 33.7741i | 0.327231 | − | 1.58685i | ||||
\(454\) | −6.82760 | + | 11.8258i | −0.320435 | + | 0.555010i | ||||
\(455\) | −12.3702 | − | 23.3505i | −0.579922 | − | 1.09469i | ||||
\(456\) | 1.46108 | − | 0.484566i | 0.0684213 | − | 0.0226919i | ||||
\(457\) | −16.3541 | + | 28.3262i | −0.765015 | + | 1.32504i | 0.175224 | + | 0.984529i | \(0.443935\pi\) |
−0.940239 | + | 0.340516i | \(0.889398\pi\) | |||||||
\(458\) | −8.68725 | + | 15.0468i | −0.405928 | + | 0.703089i | ||||
\(459\) | −14.4647 | − | 30.9572i | −0.675155 | − | 1.44496i | ||||
\(460\) | −11.6316 | − | 20.1466i | −0.542327 | − | 0.939338i | ||||
\(461\) | −2.07165 | − | 3.58821i | −0.0964865 | − | 0.167120i | 0.813742 | − | 0.581227i | \(-0.197427\pi\) |
−0.910228 | + | 0.414107i | \(0.864094\pi\) | |||||||
\(462\) | −6.49814 | + | 1.89538i | −0.302321 | + | 0.0881811i | ||||
\(463\) | −8.34176 | + | 14.4484i | −0.387675 | + | 0.671472i | −0.992136 | − | 0.125162i | \(-0.960055\pi\) |
0.604462 | + | 0.796634i | \(0.293388\pi\) | |||||||
\(464\) | −2.51052 | −0.116548 | ||||||||
\(465\) | 41.4250 | − | 13.7386i | 1.92104 | − | 0.637113i | ||||
\(466\) | −15.2422 | −0.706081 | ||||||||
\(467\) | 14.9585 | + | 25.9089i | 0.692198 | + | 1.19892i | 0.971116 | + | 0.238608i | \(0.0766909\pi\) |
−0.278918 | + | 0.960315i | \(0.589976\pi\) | |||||||
\(468\) | −7.43818 | − | 3.20397i | −0.343830 | − | 0.148104i | ||||
\(469\) | −25.0247 | − | 0.911998i | −1.15553 | − | 0.0421121i | ||||
\(470\) | 12.9258 | + | 22.3881i | 0.596223 | + | 1.03269i | ||||
\(471\) | −11.4469 | + | 3.79637i | −0.527446 | + | 0.174927i | ||||
\(472\) | −3.45489 | − | 5.98404i | −0.159024 | − | 0.275438i | ||||
\(473\) | −0.00914304 | − | 0.0158362i | −0.000420397 | − | 0.000728149i | ||||
\(474\) | 18.8276 | − | 6.24417i | 0.864780 | − | 0.286804i | ||||
\(475\) | −3.86033 | − | 6.68630i | −0.177124 | − | 0.306788i | ||||
\(476\) | 9.24219 | − | 14.7407i | 0.423615 | − | 0.675637i | ||||
\(477\) | 7.72184 | − | 5.75488i | 0.353559 | − | 0.263498i | ||||
\(478\) | 9.47524 | + | 16.4116i | 0.433387 | + | 0.750649i | ||||
\(479\) | −2.95930 | −0.135214 | −0.0676068 | − | 0.997712i | \(-0.521536\pi\) | ||||
−0.0676068 | + | 0.997712i | \(0.521536\pi\) | |||||||
\(480\) | 6.08217 | − | 2.01715i | 0.277612 | − | 0.0920700i | ||||
\(481\) | 7.49814 | 0.341886 | ||||||||
\(482\) | 12.2527 | − | 21.2223i | 0.558096 | − | 0.966650i | ||||
\(483\) | −20.8189 | − | 19.9221i | −0.947291 | − | 0.906488i | ||||
\(484\) | 4.40909 | + | 7.63676i | 0.200413 | + | 0.347126i | ||||
\(485\) | −24.3745 | − | 42.2179i | −1.10679 | − | 1.91701i | ||||
\(486\) | −0.473458 | − | 15.5813i | −0.0214765 | − | 0.706781i | ||||
\(487\) | −14.0309 | + | 24.3022i | −0.635800 | + | 1.10124i | 0.350546 | + | 0.936546i | \(0.385996\pi\) |
−0.986345 | + | 0.164691i | \(0.947337\pi\) | |||||||
\(488\) | 2.86652 | − | 4.96497i | 0.129761 | − | 0.224753i | ||||
\(489\) | −13.2738 | + | 4.40226i | −0.600263 | + | 0.199077i | ||||
\(490\) | 25.8287 | + | 1.88510i | 1.16682 | + | 0.0851602i | ||||
\(491\) | 17.0734 | − | 29.5721i | 0.770513 | − | 1.33457i | −0.166769 | − | 0.985996i | \(-0.553333\pi\) |
0.937282 | − | 0.348572i | \(-0.113333\pi\) | |||||||
\(492\) | −1.43818 | + | 6.97418i | −0.0648381 | + | 0.314420i | ||||
\(493\) | 16.5091 | 0.743534 | ||||||||
\(494\) | −1.19963 | + | 2.07782i | −0.0539738 | + | 0.0934854i | ||||
\(495\) | 15.0567 | + | 6.48564i | 0.676750 | + | 0.291508i | ||||
\(496\) | 6.81089 | 0.305818 | ||||||||
\(497\) | 7.68037 | − | 12.2497i | 0.344512 | − | 0.549472i | ||||
\(498\) | 1.56615 | − | 7.59476i | 0.0701810 | − | 0.340329i | ||||
\(499\) | −2.28071 | −0.102099 | −0.0510493 | − | 0.998696i | \(-0.516257\pi\) | ||||
−0.0510493 | + | 0.998696i | \(0.516257\pi\) | |||||||
\(500\) | −6.82072 | − | 11.8138i | −0.305032 | − | 0.528331i | ||||
\(501\) | 25.2181 | + | 22.4306i | 1.12666 | + | 1.00212i | ||||
\(502\) | 6.06182 | − | 10.4994i | 0.270552 | − | 0.468610i | ||||
\(503\) | 13.9890 | 0.623739 | 0.311869 | − | 0.950125i | \(-0.399045\pi\) | ||||
0.311869 | + | 0.950125i | \(0.399045\pi\) | |||||||
\(504\) | 6.53273 | − | 4.50815i | 0.290991 | − | 0.200809i | ||||
\(505\) | 19.4400 | 0.865067 | ||||||||
\(506\) | 4.64400 | − | 8.04364i | 0.206451 | − | 0.357583i | ||||
\(507\) | −9.39052 | + | 3.11436i | −0.417048 | + | 0.138314i | ||||
\(508\) | 1.42835 | + | 2.47397i | 0.0633726 | + | 0.109765i | ||||
\(509\) | 25.6181 | 1.13550 | 0.567750 | − | 0.823201i | \(-0.307814\pi\) | ||||
0.567750 | + | 0.823201i | \(0.307814\pi\) | |||||||
\(510\) | −39.9963 | + | 13.2648i | −1.77107 | + | 0.587374i | ||||
\(511\) | −14.9437 | − | 28.2084i | −0.661069 | − | 1.24787i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −4.60074 | − | 0.398930i | −0.203128 | − | 0.0176132i | ||||
\(514\) | 4.10439 | − | 7.10900i | 0.181037 | − | 0.313565i | ||||
\(515\) | 6.16435 | 0.271634 | ||||||||
\(516\) | 0.0160216 | + | 0.0142506i | 0.000705312 | + | 0.000627349i | ||||
\(517\) | −5.16071 | + | 8.93861i | −0.226968 | + | 0.393119i | ||||
\(518\) | −3.90359 | + | 6.22595i | −0.171514 | + | 0.273553i | ||||
\(519\) | −29.2014 | − | 25.9736i | −1.28180 | − | 1.14011i | ||||
\(520\) | −4.99381 | + | 8.64953i | −0.218993 | + | 0.379307i | ||||
\(521\) | −20.9127 | + | 36.2219i | −0.916203 | + | 1.58691i | −0.111073 | + | 0.993812i | \(0.535429\pi\) |
−0.805130 | + | 0.593099i | \(0.797904\pi\) | |||||||
\(522\) | 6.91714 | + | 2.97954i | 0.302755 | + | 0.130411i | ||||
\(523\) | 7.88323 | + | 13.6542i | 0.344710 | + | 0.597055i | 0.985301 | − | 0.170827i | \(-0.0546440\pi\) |
−0.640591 | + | 0.767882i | \(0.721311\pi\) | |||||||
\(524\) | −0.0778435 | − | 0.134829i | −0.00340061 | − | 0.00589003i | ||||
\(525\) | −28.7625 | − | 27.5236i | −1.25530 | − | 1.20123i | ||||
\(526\) | 2.67309 | − | 4.62992i | 0.116552 | − | 0.201874i | ||||
\(527\) | −44.7883 | −1.95101 | ||||||||
\(528\) | 1.91164 | + | 1.70033i | 0.0831933 | + | 0.0739973i | ||||
\(529\) | 16.5388 | 0.719080 | ||||||||
\(530\) | −5.93818 | − | 10.2852i | −0.257938 | − | 0.446762i | ||||
\(531\) | 2.41714 | + | 20.5879i | 0.104895 | + | 0.893440i | ||||
\(532\) | −1.10074 | − | 2.07782i | −0.0477233 | − | 0.0900848i | ||||
\(533\) | −5.54944 | − | 9.61192i | −0.240373 | − | 0.416338i | ||||
\(534\) | −3.10507 | + | 15.0575i | −0.134370 | + | 0.651601i | ||||
\(535\) | −19.9134 | − | 34.4911i | −0.860932 | − | 1.49118i | ||||
\(536\) | 4.73236 | + | 8.19669i | 0.204407 | + | 0.354043i | ||||
\(537\) | 0.431988 | + | 0.384237i | 0.0186417 | + | 0.0165811i | ||||
\(538\) | 9.24219 | + | 16.0079i | 0.398459 | + | 0.690152i | ||||
\(539\) | 4.50433 | + | 9.30701i | 0.194015 | + | 0.400881i | ||||
\(540\) | −19.1520 | − | 1.66066i | −0.824170 | − | 0.0714636i | ||||
\(541\) | −21.0963 | − | 36.5399i | −0.907002 | − | 1.57097i | −0.818207 | − | 0.574924i | \(-0.805031\pi\) |
−0.0887957 | − | 0.996050i | \(-0.528302\pi\) | |||||||
\(542\) | 7.35483 | 0.315917 | ||||||||
\(543\) | −8.13045 | + | 39.4271i | −0.348911 | + | 1.69198i | ||||
\(544\) | −6.57598 | −0.281943 | ||||||||
\(545\) | −0.349814 | + | 0.605896i | −0.0149844 | + | 0.0259537i | ||||
\(546\) | −2.93818 | + | 12.0173i | −0.125742 | + | 0.514292i | ||||
\(547\) | 20.3356 | + | 35.2222i | 0.869486 | + | 1.50599i | 0.862522 | + | 0.506019i | \(0.168883\pi\) |
0.00696400 | + | 0.999976i | \(0.497783\pi\) | |||||||
\(548\) | 1.70582 | + | 2.95456i | 0.0728689 | + | 0.126213i | ||||
\(549\) | −13.7905 | + | 10.2777i | −0.588566 | + | 0.438643i | ||||
\(550\) | 6.41597 | − | 11.1128i | 0.273578 | − | 0.473851i | ||||
\(551\) | 1.11559 | − | 1.93227i | 0.0475259 | − | 0.0823173i | ||||
\(552\) | −2.19963 | + | 10.6667i | −0.0936224 | + | 0.454004i | ||||
\(553\) | −14.1843 | − | 26.7750i | −0.603178 | − | 1.13859i | ||||
\(554\) | 4.54944 | − | 7.87987i | 0.193287 | − | 0.334783i | ||||
\(555\) | 16.8931 | − | 5.60258i | 0.717071 | − | 0.237816i | ||||
\(556\) | 13.5105 | 0.572974 | ||||||||
\(557\) | 6.68794 | − | 11.5838i | 0.283377 | − | 0.490823i | −0.688837 | − | 0.724916i | \(-0.741879\pi\) |
0.972214 | + | 0.234093i | \(0.0752119\pi\) | |||||||
\(558\) | −18.7658 | − | 8.08330i | −0.794419 | − | 0.342193i | ||||
\(559\) | −0.0334206 | −0.00141354 | ||||||||
\(560\) | −4.58217 | − | 8.64953i | −0.193632 | − | 0.365509i | ||||
\(561\) | −12.5709 | − | 11.1813i | −0.530743 | − | 0.472076i | ||||
\(562\) | −12.0087 | −0.506555 | ||||||||
\(563\) | 16.3807 | + | 28.3722i | 0.690364 | + | 1.19574i | 0.971719 | + | 0.236141i | \(0.0758828\pi\) |
−0.281355 | + | 0.959604i | \(0.590784\pi\) | |||||||
\(564\) | 2.44437 | − | 11.8535i | 0.102926 | − | 0.499123i | ||||
\(565\) | −25.0901 | + | 43.4574i | −1.05555 | + | 1.82827i | ||||
\(566\) | 9.84294 | 0.413729 | ||||||||
\(567\) | −23.3497 | + | 4.66795i | −0.980597 | + | 0.196035i | ||||
\(568\) | −5.46472 | −0.229295 | ||||||||
\(569\) | 8.36398 | − | 14.4868i | 0.350636 | − | 0.607320i | −0.635725 | − | 0.771916i | \(-0.719299\pi\) |
0.986361 | + | 0.164596i | \(0.0526321\pi\) | |||||||
\(570\) | −1.15019 | + | 5.57761i | −0.0481760 | + | 0.233620i | ||||
\(571\) | 13.7367 | + | 23.7926i | 0.574863 | + | 0.995691i | 0.996057 | + | 0.0887207i | \(0.0282778\pi\) |
−0.421194 | + | 0.906971i | \(0.638389\pi\) | |||||||
\(572\) | −3.98762 | −0.166731 | ||||||||
\(573\) | 21.1229 | + | 18.7880i | 0.882421 | + | 0.784881i | ||||
\(574\) | 10.8702 | + | 0.396151i | 0.453712 | + | 0.0165350i | ||||
\(575\) | 54.6253 | 2.27803 | ||||||||
\(576\) | −2.75526 | − | 1.18682i | −0.114803 | − | 0.0494508i | ||||
\(577\) | 1.41714 | − | 2.45455i | 0.0589962 | − | 0.102184i | −0.835019 | − | 0.550221i | \(-0.814543\pi\) |
0.894015 | + | 0.448037i | \(0.147877\pi\) | |||||||
\(578\) | 26.2436 | 1.09159 | ||||||||
\(579\) | −23.5443 | + | 7.80848i | −0.978470 | + | 0.324509i | ||||
\(580\) | 4.64400 | − | 8.04364i | 0.192831 | − | 0.333994i | ||||
\(581\) | −11.8374 | − | 0.431403i | −0.491100 | − | 0.0178976i | ||||
\(582\) | −4.60940 | + | 22.3524i | −0.191066 | + | 0.926539i | ||||
\(583\) | 2.37085 | − | 4.10644i | 0.0981908 | − | 0.170071i | ||||
\(584\) | −6.03273 | + | 10.4490i | −0.249636 | + | 0.432383i | ||||
\(585\) | 24.0247 | − | 17.9050i | 0.993298 | − | 0.740279i | ||||
\(586\) | 10.7101 | + | 18.5505i | 0.442432 | + | 0.766315i | ||||
\(587\) | −2.34795 | − | 4.06678i | −0.0969105 | − | 0.167854i | 0.813494 | − | 0.581573i | \(-0.197563\pi\) |
−0.910404 | + | 0.413720i | \(0.864229\pi\) | |||||||
\(588\) | −8.44870 | − | 8.69595i | −0.348418 | − | 0.358615i | ||||
\(589\) | −3.02654 | + | 5.24212i | −0.124706 | + | 0.215998i | ||||
\(590\) | 25.5636 | 1.05244 | ||||||||
\(591\) | −0.847955 | + | 4.11200i | −0.0348802 | + | 0.169145i | ||||
\(592\) | 2.77747 | 0.114153 | ||||||||
\(593\) | 0.636024 | + | 1.10163i | 0.0261184 | + | 0.0452383i | 0.878789 | − | 0.477210i | \(-0.158352\pi\) |
−0.852671 | + | 0.522449i | \(0.825019\pi\) | |||||||
\(594\) | −3.24907 | − | 6.95362i | −0.133311 | − | 0.285310i | ||||
\(595\) | 30.1323 | + | 56.8792i | 1.23530 | + | 2.33182i | ||||
\(596\) | −0.166896 | − | 0.289073i | −0.00683634 | − | 0.0118409i | ||||
\(597\) | −7.90909 | − | 7.03484i | −0.323697 | − | 0.287917i | ||||
\(598\) | −8.48762 | − | 14.7010i | −0.347085 | − | 0.601168i | ||||
\(599\) | −21.9258 | − | 37.9766i | −0.895864 | − | 1.55168i | −0.832732 | − | 0.553676i | \(-0.813224\pi\) |
−0.0631320 | − | 0.998005i | \(-0.520109\pi\) | |||||||
\(600\) | −3.03892 | + | 14.7367i | −0.124063 | + | 0.601623i | ||||
\(601\) | −6.71634 | − | 11.6330i | −0.273965 | − | 0.474522i | 0.695908 | − | 0.718131i | \(-0.255002\pi\) |
−0.969874 | + | 0.243609i | \(0.921669\pi\) | |||||||
\(602\) | 0.0173990 | − | 0.0277502i | 0.000709131 | − | 0.00113101i | ||||
\(603\) | −3.31089 | − | 28.2005i | −0.134830 | − | 1.14841i | ||||
\(604\) | 9.95489 | + | 17.2424i | 0.405059 | + | 0.701582i | ||||
\(605\) | −32.6240 | −1.32635 | ||||||||
\(606\) | −6.80037 | − | 6.04868i | −0.276246 | − | 0.245711i | ||||
\(607\) | −4.58465 | −0.186085 | −0.0930425 | − | 0.995662i | \(-0.529659\pi\) | ||||
−0.0930425 | + | 0.995662i | \(0.529659\pi\) | |||||||
\(608\) | −0.444368 | + | 0.769668i | −0.0180215 | + | 0.0312142i | ||||
\(609\) | 2.73236 | − | 11.1755i | 0.110721 | − | 0.452853i | ||||
\(610\) | 10.6051 | + | 18.3685i | 0.429387 | + | 0.743720i | ||||
\(611\) | 9.43199 | + | 16.3367i | 0.381577 | + | 0.660911i | ||||
\(612\) | 18.1185 | + | 7.80451i | 0.732399 | + | 0.315479i | ||||
\(613\) | −11.0538 | + | 19.1457i | −0.446458 | + | 0.773287i | −0.998152 | − | 0.0607587i | \(-0.980648\pi\) |
0.551695 | + | 0.834046i | \(0.313981\pi\) | |||||||
\(614\) | 2.84362 | − | 4.92530i | 0.114759 | − | 0.198769i | ||||
\(615\) | −19.6847 | − | 17.5088i | −0.793764 | − | 0.706023i | ||||
\(616\) | 2.07598 | − | 3.31105i | 0.0836438 | − | 0.133406i | ||||
\(617\) | 6.00433 | − | 10.3998i | 0.241725 | − | 0.418680i | −0.719481 | − | 0.694513i | \(-0.755620\pi\) |
0.961206 | + | 0.275832i | \(0.0889534\pi\) | |||||||
\(618\) | −2.15638 | − | 1.91802i | −0.0867422 | − | 0.0771539i | ||||
\(619\) | −17.5636 | −0.705941 | −0.352970 | − | 0.935634i | \(-0.614828\pi\) | ||||
−0.352970 | + | 0.935634i | \(0.614828\pi\) | |||||||
\(620\) | −12.5989 | + | 21.8219i | −0.505983 | + | 0.876389i | ||||
\(621\) | 18.7200 | − | 26.7789i | 0.751207 | − | 1.07460i | ||||
\(622\) | −11.7207 | −0.469956 | ||||||||
\(623\) | 23.4691 | + | 0.855304i | 0.940268 | + | 0.0342670i | ||||
\(624\) | 4.43818 | − | 1.47192i | 0.177669 | − | 0.0589240i | ||||
\(625\) | 7.03204 | 0.281282 | ||||||||
\(626\) | 13.3869 | + | 23.1868i | 0.535047 | + | 0.926729i | ||||
\(627\) | −2.15816 | + | 0.715753i | −0.0861885 | + | 0.0285844i | ||||
\(628\) | 3.48143 | − | 6.03001i | 0.138924 | − | 0.240624i | ||||
\(629\) | −18.2646 | −0.728258 | ||||||||
\(630\) | 2.35965 | + | 29.2699i | 0.0940105 | + | 1.16614i | ||||
\(631\) | −44.9381 | −1.78896 | −0.894479 | − | 0.447110i | \(-0.852453\pi\) | ||||
−0.894479 | + | 0.447110i | \(0.852453\pi\) | |||||||
\(632\) | −5.72617 | + | 9.91802i | −0.227775 | + | 0.394518i | ||||
\(633\) | 14.8120 | + | 13.1747i | 0.588724 | + | 0.523648i | ||||
\(634\) | −0.951246 | − | 1.64761i | −0.0377788 | − | 0.0654348i | ||||
\(635\) | −10.5687 | −0.419406 | ||||||||
\(636\) | −1.12296 | + | 5.44556i | −0.0445281 | + | 0.215931i | ||||
\(637\) | 18.8473 | + | 1.37556i | 0.746756 | + | 0.0545018i | ||||
\(638\) | 3.70829 | 0.146813 | ||||||||
\(639\) | 15.0567 | + | 6.48564i | 0.595635 | + | 0.256568i | ||||
\(640\) | −1.84981 | + | 3.20397i | −0.0731203 | + | 0.126648i | ||||
\(641\) | −28.9839 | −1.14480 | −0.572398 | − | 0.819976i | \(-0.693987\pi\) | ||||
−0.572398 | + | 0.819976i | \(0.693987\pi\) | |||||||
\(642\) | −3.76578 | + | 18.2614i | −0.148624 | + | 0.720722i | ||||
\(643\) | 6.03087 | − | 10.4458i | 0.237834 | − | 0.411941i | −0.722258 | − | 0.691623i | \(-0.756896\pi\) |
0.960093 | + | 0.279682i | \(0.0902291\pi\) | |||||||
\(644\) | 16.6254 | + | 0.605896i | 0.655134 | + | 0.0238756i | ||||
\(645\) | −0.0752956 | + | 0.0249718i | −0.00296476 | + | 0.000983262i | ||||
\(646\) | 2.92216 | − | 5.06132i | 0.114971 | − | 0.199135i | ||||
\(647\) | 18.8825 | − | 32.7055i | 0.742349 | − | 1.28579i | −0.209073 | − | 0.977900i | \(-0.567045\pi\) |
0.951423 | − | 0.307887i | \(-0.0996219\pi\) | |||||||
\(648\) | 6.18292 | + | 6.53999i | 0.242888 | + | 0.256915i | ||||
\(649\) | 5.10322 | + | 8.83903i | 0.200319 | + | 0.346962i | ||||
\(650\) | −11.7262 | − | 20.3103i | −0.459938 | − | 0.796636i | ||||
\(651\) | −7.41273 | + | 30.3184i | −0.290528 | + | 1.18827i | ||||
\(652\) | 4.03706 | − | 6.99240i | 0.158104 | − | 0.273843i | ||||
\(653\) | 37.4079 | 1.46388 | 0.731942 | − | 0.681366i | \(-0.238614\pi\) | ||||
0.731942 | + | 0.681366i | \(0.238614\pi\) | |||||||
\(654\) | 0.310892 | − | 0.103107i | 0.0121569 | − | 0.00403182i | ||||
\(655\) | 0.575984 | 0.0225056 | ||||||||
\(656\) | −2.05563 | − | 3.56046i | −0.0802589 | − | 0.139013i | ||||
\(657\) | 29.0228 | − | 21.6299i | 1.13229 | − | 0.843864i | ||||
\(658\) | −18.4752 | − | 0.673310i | −0.720240 | − | 0.0262484i | ||||
\(659\) | 14.9356 | + | 25.8693i | 0.581810 | + | 1.00772i | 0.995265 | + | 0.0971993i | \(0.0309884\pi\) |
−0.413455 | + | 0.910524i | \(0.635678\pi\) | |||||||
\(660\) | −8.98398 | + | 2.97954i | −0.349701 | + | 0.115978i | ||||
\(661\) | −2.80401 | − | 4.85669i | −0.109063 | − | 0.188904i | 0.806328 | − | 0.591469i | \(-0.201452\pi\) |
−0.915391 | + | 0.402566i | \(0.868119\pi\) | |||||||
\(662\) | −2.78366 | − | 4.82144i | −0.108190 | − | 0.187391i | ||||
\(663\) | −29.1854 | + | 9.67933i | −1.13347 | + | 0.375914i | ||||
\(664\) | 2.23855 | + | 3.87728i | 0.0868726 | + | 0.150468i | ||||
\(665\) | 8.69344 | + | 0.316823i | 0.337117 | + | 0.0122859i | ||||
\(666\) | −7.65266 | − | 3.29636i | −0.296534 | − | 0.127731i | ||||
\(667\) | 7.89307 | + | 13.6712i | 0.305621 | + | 0.529351i | ||||
\(668\) | −19.4858 | −0.753927 | ||||||||
\(669\) | 11.8738 | − | 3.93795i | 0.459068 | − | 0.152250i | ||||
\(670\) | −35.0159 | −1.35278 | ||||||||
\(671\) | −4.23414 | + | 7.33375i | −0.163457 | + | 0.283116i | ||||
\(672\) | −1.08836 | + | 4.45146i | −0.0419846 | + | 0.171719i | ||||
\(673\) | −4.72253 | − | 8.17966i | −0.182040 | − | 0.315303i | 0.760535 | − | 0.649297i | \(-0.224937\pi\) |
−0.942575 | + | 0.333994i | \(0.891603\pi\) | |||||||
\(674\) | −16.8869 | − | 29.2489i | −0.650458 | − | 1.12663i | ||||
\(675\) | 25.8628 | − | 36.9967i | 0.995460 | − | 1.42401i | ||||
\(676\) | 2.85600 | − | 4.94674i | 0.109846 | − | 0.190259i | ||||
\(677\) | −5.53087 | + | 9.57975i | −0.212569 | + | 0.368180i | −0.952518 | − | 0.304483i | \(-0.901516\pi\) |
0.739949 | + | 0.672663i | \(0.234850\pi\) | |||||||
\(678\) | 22.2985 | − | 7.39530i | 0.856369 | − | 0.284015i | ||||
\(679\) | 34.8392 | + | 1.26968i | 1.33701 | + | 0.0487258i | ||||
\(680\) | 12.1643 | − | 21.0693i | 0.466481 | − | 0.807970i | ||||
\(681\) | −4.77678 | + | 23.1641i | −0.183047 | + | 0.887651i | ||||
\(682\) | −10.0604 | −0.385231 | ||||||||
\(683\) | −4.41961 | + | 7.65499i | −0.169112 | + | 0.292910i | −0.938108 | − | 0.346343i | \(-0.887423\pi\) |
0.768996 | + | 0.639253i | \(0.220757\pi\) | |||||||
\(684\) | 2.13781 | − | 1.59325i | 0.0817411 | − | 0.0609195i | ||||
\(685\) | −12.6218 | −0.482254 | ||||||||
\(686\) | −10.9542 | + | 14.9334i | −0.418233 | + | 0.570159i | ||||
\(687\) | −6.07784 | + | 29.4734i | −0.231884 | + | 1.12448i | ||||
\(688\) | −0.0123797 | −0.000471972 | ||||||||
\(689\) | −4.33310 | − | 7.50516i | −0.165078 | − | 0.285924i | ||||
\(690\) | −30.1069 | − | 26.7789i | −1.14615 | − | 1.01946i | ||||
\(691\) | −12.5309 | + | 21.7041i | −0.476697 | + | 0.825663i | −0.999643 | − | 0.0267023i | \(-0.991499\pi\) |
0.522947 | + | 0.852365i | \(0.324833\pi\) | |||||||
\(692\) | 22.5636 | 0.857740 | ||||||||
\(693\) | −9.64950 | + | 6.65899i | −0.366554 | + | 0.252954i | ||||
\(694\) | −30.4065 | −1.15422 | ||||||||
\(695\) | −24.9920 | + | 43.2873i | −0.947999 | + | 1.64198i | ||||
\(696\) | −4.12729 | + | 1.36881i | −0.156444 | + | 0.0518848i | ||||
\(697\) | 13.5178 | + | 23.4135i | 0.512023 | + | 0.886850i | ||||
\(698\) | 12.5956 | 0.476752 | ||||||||
\(699\) | −25.0581 | + | 8.31052i | −0.947785 | + | 0.314333i | ||||
\(700\) | 22.9691 | + | 0.837082i | 0.868149 | + | 0.0316387i | ||||
\(701\) | −43.4858 | −1.64243 | −0.821217 | − | 0.570616i | \(-0.806705\pi\) | ||||
−0.821217 | + | 0.570616i | \(0.806705\pi\) | |||||||
\(702\) | −13.9752 | − | 1.21179i | −0.527461 | − | 0.0457361i | ||||
\(703\) | −1.23422 | + | 2.13773i | −0.0465495 | + | 0.0806260i | ||||
\(704\) | −1.47710 | −0.0556703 | ||||||||
\(705\) | 33.4567 | + | 29.7585i | 1.26005 | + | 1.12077i | ||||
\(706\) | 3.76578 | − | 6.52252i | 0.141727 | − | 0.245478i | ||||
\(707\) | −7.38502 | + | 11.7786i | −0.277742 | + | 0.442979i | ||||
\(708\) | −8.94251 | − | 7.95403i | −0.336080 | − | 0.298931i | ||||
\(709\) | 11.3702 | − | 19.6937i | 0.427016 | − | 0.739613i | −0.569591 | − | 0.821928i | \(-0.692898\pi\) |
0.996606 | + | 0.0823158i | \(0.0262316\pi\) | |||||||
\(710\) | 10.1087 | − | 17.5088i | 0.379373 | − | 0.657094i | ||||
\(711\) | 27.5480 | − | 20.5308i | 1.03313 | − | 0.769965i | ||||
\(712\) | −4.43818 | − | 7.68715i | −0.166328 | − | 0.288088i | ||||
\(713\) | −21.4134 | − | 37.0891i | −0.801939 | − | 1.38900i | ||||
\(714\) | 7.15706 | − | 29.2727i | 0.267846 | − | 1.09550i | ||||
\(715\) | 7.37636 | − | 12.7762i | 0.275860 | − | 0.477804i | ||||
\(716\) | −0.333792 | −0.0124744 | ||||||||
\(717\) | 24.5254 | + | 21.8144i | 0.915917 | + | 0.814674i | ||||
\(718\) | 6.89602 | 0.257357 | ||||||||
\(719\) | 6.06182 | + | 10.4994i | 0.226068 | + | 0.391561i | 0.956639 | − | 0.291275i | \(-0.0940796\pi\) |
−0.730571 | + | 0.682836i | \(0.760746\pi\) | |||||||
\(720\) | 8.89926 | − | 6.63238i | 0.331656 | − | 0.247174i | ||||
\(721\) | −2.34176 | + | 3.73495i | −0.0872119 | + | 0.139097i | ||||
\(722\) | 9.10507 | + | 15.7705i | 0.338856 | + | 0.586915i | ||||
\(723\) | 8.57234 | − | 41.5700i | 0.318809 | − | 1.54600i | ||||
\(724\) | −11.6211 | − | 20.1283i | −0.431895 | − | 0.748063i | ||||
\(725\) | 10.9048 | + | 18.8876i | 0.404993 | + | 0.701468i | ||||
\(726\) | 11.4123 | + | 10.1508i | 0.423551 | + | 0.376733i | ||||
\(727\) | 23.0908 | + | 39.9945i | 0.856392 | + | 1.48331i | 0.875348 | + | 0.483494i | \(0.160632\pi\) |
−0.0189562 | + | 0.999820i | \(0.506034\pi\) | |||||||
\(728\) | −3.34362 | − | 6.31159i | −0.123923 | − | 0.233923i | ||||
\(729\) | −9.27375 | − | 25.3574i | −0.343472 | − | 0.939163i | ||||
\(730\) | −22.3189 | − | 38.6574i | −0.826058 | − | 1.43077i | ||||
\(731\) | 0.0814088 | 0.00301101 | ||||||||
\(732\) | 2.00550 | − | 9.72530i | 0.0741255 | − | 0.359458i | ||||
\(733\) | −36.0297 | −1.33079 | −0.665394 | − | 0.746493i | \(-0.731736\pi\) | ||||
−0.665394 | + | 0.746493i | \(0.731736\pi\) | |||||||
\(734\) | −11.5618 | + | 20.0257i | −0.426755 | + | 0.739161i | ||||
\(735\) | 43.4901 | − | 10.9835i | 1.60416 | − | 0.405133i | ||||
\(736\) | −3.14400 | − | 5.44556i | −0.115889 | − | 0.200726i | ||||
\(737\) | −6.99017 | − | 12.1073i | −0.257486 | − | 0.445979i | ||||
\(738\) | 1.43818 | + | 12.2497i | 0.0529401 | + | 0.450916i | ||||
\(739\) | 23.2119 | − | 40.2042i | 0.853865 | − | 1.47894i | −0.0238296 | − | 0.999716i | \(-0.507586\pi\) |
0.877694 | − | 0.479221i | \(-0.159081\pi\) | |||||||
\(740\) | −5.13781 | + | 8.89894i | −0.188870 | + | 0.327132i | ||||
\(741\) | −0.839294 | + | 4.07000i | −0.0308322 | + | 0.149515i | ||||
\(742\) | 8.48762 | + | 0.309322i | 0.311590 | + | 0.0113556i | ||||
\(743\) | 0.598884 | − | 1.03730i | 0.0219709 | − | 0.0380548i | −0.854831 | − | 0.518907i | \(-0.826339\pi\) |
0.876802 | + | 0.480852i | \(0.159673\pi\) | |||||||
\(744\) | 11.1971 | − | 3.71351i | 0.410505 | − | 0.136144i | ||||
\(745\) | 1.23491 | 0.0452435 | ||||||||
\(746\) | −14.5822 | + | 25.2571i | −0.533891 | + | 0.924727i | ||||
\(747\) | −1.56615 | − | 13.3397i | −0.0573025 | − | 0.488073i | ||||
\(748\) | 9.71339 | 0.355157 | ||||||||
\(749\) | 28.4629 | + | 1.03730i | 1.04001 | + | 0.0379021i | ||||
\(750\) | −17.6545 | − | 15.7030i | −0.644652 | − | 0.573394i | ||||
\(751\) | 48.1199 | 1.75592 | 0.877961 | − | 0.478733i | \(-0.158904\pi\) | ||||
0.877961 | + | 0.478733i | \(0.158904\pi\) | |||||||
\(752\) | 3.49381 | + | 6.05146i | 0.127406 | + | 0.220674i | ||||
\(753\) | 4.24102 | − | 20.5660i | 0.154551 | − | 0.749468i | ||||
\(754\) | 3.38874 | − | 5.86946i | 0.123410 | − | 0.213753i | ||||
\(755\) | −73.6588 | −2.68072 | ||||||||
\(756\) | 8.28180 | − | 10.9732i | 0.301206 | − | 0.399092i | ||||
\(757\) | 49.6006 | 1.80276 | 0.901382 | − | 0.433025i | \(-0.142554\pi\) | ||||
0.901382 | + | 0.433025i | \(0.142554\pi\) | |||||||
\(758\) | 6.78111 | − | 11.7452i | 0.246301 | − | 0.426606i | ||||
\(759\) | 3.24907 | − | 15.7558i | 0.117934 | − | 0.571898i | ||||
\(760\) | −1.64400 | − | 2.84748i | −0.0596340 | − | 0.103289i | ||||
\(761\) | −37.5402 | −1.36083 | −0.680416 | − | 0.732826i | \(-0.738201\pi\) | ||||
−0.680416 | + | 0.732826i | \(0.738201\pi\) | |||||||
\(762\) | 3.69708 | + | 3.28842i | 0.133931 | + | 0.119127i | ||||
\(763\) | −0.234219 | − | 0.442124i | −0.00847931 | − | 0.0160060i | ||||
\(764\) | −16.3214 | −0.590488 | ||||||||
\(765\) | −58.5214 | + | 43.6144i | −2.11584 | + | 1.57688i | ||||
\(766\) | 1.41783 | − | 2.45575i | 0.0512281 | − | 0.0887297i | ||||
\(767\) | 18.6538 | 0.673551 | ||||||||
\(768\) | 1.64400 | − | 0.545231i | 0.0593226 | − | 0.0196743i | ||||
\(769\) | −13.4592 | + | 23.3121i | −0.485352 | + | 0.840654i | −0.999858 | − | 0.0168324i | \(-0.994642\pi\) |
0.514506 | + | 0.857486i | \(0.327975\pi\) | |||||||
\(770\) | 6.76833 | + | 12.7762i | 0.243914 | + | 0.460423i | ||||
\(771\) | 2.87154 | − | 13.9250i | 0.103416 | − | 0.501497i | ||||
\(772\) | 7.16071 | − | 12.4027i | 0.257719 | − | 0.446383i | ||||
\(773\) | 25.1130 | − | 43.4971i | 0.903254 | − | 1.56448i | 0.0800089 | − | 0.996794i | \(-0.474505\pi\) |
0.823245 | − | 0.567687i | \(-0.192162\pi\) | |||||||
\(774\) | 0.0341093 | + | 0.0146925i | 0.00122603 | + | 0.000528111i | ||||
\(775\) | −29.5840 | − | 51.2409i | −1.06269 | − | 1.84063i | ||||
\(776\) | −6.58836 | − | 11.4114i | −0.236508 | − | 0.409645i | ||||
\(777\) | −3.02290 | + | 12.3638i | −0.108446 | + | 0.443549i | ||||
\(778\) | 9.30401 | − | 16.1150i | 0.333565 | − | 0.577752i | ||||
\(779\) | 3.65383 | 0.130912 | ||||||||
\(780\) | −3.49381 | + | 16.9426i | −0.125098 | + | 0.606642i | ||||
\(781\) | 8.07194 | 0.288837 | ||||||||
\(782\) | 20.6749 | + | 35.8099i | 0.739332 | + | 1.28056i | ||||
\(783\) | 12.9963 | + | 1.12691i | 0.464449 | + | 0.0402723i | ||||
\(784\) | 6.98143 | + | 0.509538i | 0.249337 | + | 0.0181978i | ||||
\(785\) | 12.8800 | + | 22.3088i | 0.459707 | + | 0.796236i | ||||
\(786\) | −0.201487 | − | 0.179216i | −0.00718682 | − | 0.00639241i | ||||
\(787\) | 0.829462 | + | 1.43667i | 0.0295671 | + | 0.0512118i | 0.880430 | − | 0.474176i | \(-0.157254\pi\) |
−0.850863 | + | 0.525387i | \(0.823920\pi\) | |||||||
\(788\) | −1.21201 | − | 2.09926i | −0.0431760 | − | 0.0747830i | ||||
\(789\) | 1.87017 | − | 9.06902i | 0.0665797 | − | 0.322866i | ||||
\(790\) | −21.1847 | − | 36.6930i | −0.753718 | − | 1.30548i | ||||
\(791\) | −16.7992 | − | 31.7110i | −0.597311 | − | 1.12751i | ||||
\(792\) | 4.06979 | + | 1.75305i | 0.144614 | + | 0.0622920i | ||||
\(793\) | 7.73855 | + | 13.4036i | 0.274804 | + | 0.475974i | ||||
\(794\) | 20.5760 | 0.730214 | ||||||||
\(795\) | −15.3702 | − | 13.6712i | −0.545124 | − | 0.484867i | ||||
\(796\) | 6.11126 | 0.216608 | ||||||||
\(797\) | −15.3702 | + | 26.6219i | −0.544439 | + | 0.942996i | 0.454203 | + | 0.890898i | \(0.349924\pi\) |
−0.998642 | + | 0.0520981i | \(0.983409\pi\) | |||||||
\(798\) | −2.94251 | − | 2.81576i | −0.104164 | − | 0.0996769i | ||||
\(799\) | −22.9752 | − | 39.7943i | −0.812806 | − | 1.40782i | ||||
\(800\) | −4.34362 | − | 7.52338i | −0.153570 | − | 0.265992i | ||||
\(801\) | 3.10507 | + | 26.4474i | 0.109712 | + | 0.934473i | ||||
\(802\) | 3.37704 | − | 5.84921i | 0.119248 | − | 0.206543i | ||||
\(803\) | 8.91095 | − | 15.4342i | 0.314461 | − | 0.544662i | ||||
\(804\) | 12.2491 | + | 10.8951i | 0.431991 | + | 0.384240i | ||||
\(805\) | −32.6952 | + | 52.1466i | −1.15236 | + | 1.83793i | ||||
\(806\) | −9.19344 | + | 15.9235i | −0.323825 | + | 0.560881i | ||||
\(807\) | 23.9222 | + | 21.2779i | 0.842100 | + | 0.749016i | ||||
\(808\) | 5.25457 | 0.184855 | ||||||||
\(809\) | −1.44251 | + | 2.49850i | −0.0507159 | + | 0.0878425i | −0.890269 | − | 0.455435i | \(-0.849484\pi\) |
0.839553 | + | 0.543278i | \(0.182817\pi\) | |||||||
\(810\) | −32.3912 | + | 7.71212i | −1.13811 | + | 0.270976i | ||||
\(811\) | 28.5461 | 1.00239 | 0.501195 | − | 0.865334i | \(-0.332894\pi\) | ||||
0.501195 | + | 0.865334i | \(0.332894\pi\) | |||||||
\(812\) | 3.10940 | + | 5.86946i | 0.109119 | + | 0.205978i | ||||
\(813\) | 12.0913 | − | 4.01008i | 0.424061 | − | 0.140640i | ||||
\(814\) | −4.10260 | −0.143796 | ||||||||
\(815\) | 14.9356 | + | 25.8693i | 0.523172 | + | 0.906161i | ||||
\(816\) | −10.8109 | + | 3.58543i | −0.378457 | + | 0.125515i | ||||
\(817\) | 0.00550115 | − | 0.00952827i | 0.000192461 | − | 0.000333352i | ||||
\(818\) | 15.3214 | 0.535701 | ||||||||
\(819\) | 1.72184 | + | 21.3583i | 0.0601659 | + | 0.746321i | ||||
\(820\) | 15.2101 | 0.531161 | ||||||||
\(821\) | −3.98329 | + | 6.89926i | −0.139018 | + | 0.240786i | −0.927125 | − | 0.374752i | \(-0.877728\pi\) |
0.788107 | + | 0.615538i | \(0.211061\pi\) | |||||||
\(822\) | 4.41528 | + | 3.92723i | 0.154001 | + | 0.136978i | ||||
\(823\) | −20.2731 | − | 35.1140i | −0.706675 | − | 1.22400i | −0.966084 | − | 0.258229i | \(-0.916861\pi\) |
0.259409 | − | 0.965768i | \(-0.416472\pi\) | |||||||
\(824\) | 1.66621 | 0.0580451 | ||||||||
\(825\) | 4.48879 | − | 21.7676i | 0.156280 | − | 0.757849i | ||||
\(826\) | −9.71132 | + | 15.4889i | −0.337900 | + | 0.538927i | ||||
\(827\) | 1.22115 | 0.0424636 | 0.0212318 | − | 0.999775i | \(-0.493241\pi\) | ||||
0.0212318 | + | 0.999775i | \(0.493241\pi\) | |||||||
\(828\) | 2.19963 | + | 18.7353i | 0.0764424 | + | 0.651096i | ||||
\(829\) | −7.07530 | + | 12.2548i | −0.245735 | + | 0.425626i | −0.962338 | − | 0.271856i | \(-0.912363\pi\) |
0.716603 | + | 0.697481i | \(0.245696\pi\) | |||||||
\(830\) | −16.5636 | −0.574931 | ||||||||
\(831\) | 3.18292 | − | 15.4350i | 0.110414 | − | 0.535433i | ||||
\(832\) | −1.34981 | + | 2.33795i | −0.0467964 | + | 0.0810537i | ||||
\(833\) | −45.9098 | − | 3.35071i | −1.59068 | − | 0.116095i | ||||
\(834\) | 22.2112 | − | 7.36636i | 0.769112 | − | 0.255076i | ||||
\(835\) | 36.0450 | − | 62.4318i | 1.24739 | − | 2.16054i | ||||
\(836\) | 0.656376 | − | 1.13688i | 0.0227012 | − | 0.0393197i | ||||
\(837\) | −35.2581 | − | 3.05723i | −1.21870 | − | 0.105673i | ||||
\(838\) | −4.32141 | − | 7.48491i | −0.149281 | − | 0.258562i | ||||
\(839\) | 1.19599 | + | 2.07151i | 0.0412900 | + | 0.0715164i | 0.885932 | − | 0.463815i | \(-0.153520\pi\) |
−0.844642 | + | 0.535332i | \(0.820187\pi\) | |||||||
\(840\) | −12.2491 | − | 11.7215i | −0.422633 | − | 0.404429i | ||||
\(841\) | 11.3486 | − | 19.6564i | 0.391333 | − | 0.677808i | ||||
\(842\) | −37.1272 | −1.27949 | ||||||||
\(843\) | −19.7422 | + | 6.54750i | −0.679957 | + | 0.225508i | ||||
\(844\) | −11.4451 | −0.393955 | ||||||||
\(845\) | 10.5662 | + | 18.3011i | 0.363487 | + | 0.629577i | ||||
\(846\) | −2.44437 | − | 20.8199i | −0.0840391 | − | 0.715802i | ||||
\(847\) | 12.3935 | − | 19.7667i | 0.425845 | − | 0.679193i | ||||
\(848\) | −1.60507 | − | 2.78007i | −0.0551185 | − | 0.0954680i | ||||
\(849\) | 16.1817 | − | 5.36667i | 0.555356 | − | 0.184184i | ||||
\(850\) | 28.5636 | + | 49.4736i | 0.979724 | + | 1.69693i | ||||
\(851\) | −8.73236 | − | 15.1249i | −0.299341 | − | 0.518475i | ||||
\(852\) | −8.98398 | + | 2.97954i | −0.307786 | + | 0.102077i | ||||
\(853\) | −8.33998 | − | 14.4453i | −0.285556 | − | 0.494597i | 0.687188 | − | 0.726479i | \(-0.258845\pi\) |
−0.972744 | + | 0.231883i | \(0.925511\pi\) | |||||||
\(854\) | −15.1582 | − | 0.552423i | −0.518702 | − | 0.0189035i | ||||
\(855\) | 1.15019 | + | 9.79669i | 0.0393355 | + | 0.335040i | ||||
\(856\) | −5.38255 | − | 9.32284i | −0.183972 | − | 0.318648i | ||||
\(857\) | −13.8516 | −0.473162 | −0.236581 | − | 0.971612i | \(-0.576027\pi\) | ||||
−0.236581 | + | 0.971612i | \(0.576027\pi\) | |||||||
\(858\) | −6.55563 | + | 2.17417i | −0.223806 | + | 0.0742251i | ||||
\(859\) | 48.4944 | 1.65461 | 0.827304 | − | 0.561754i | \(-0.189873\pi\) | ||||
0.827304 | + | 0.561754i | \(0.189873\pi\) | |||||||
\(860\) | 0.0229002 | − | 0.0396643i | 0.000780889 | − | 0.00135254i | ||||
\(861\) | 18.0865 | − | 5.27548i | 0.616386 | − | 0.179788i | ||||
\(862\) | −4.71015 | − | 8.15822i | −0.160428 | − | 0.277870i | ||||
\(863\) | 2.96541 | + | 5.13624i | 0.100944 | + | 0.174840i | 0.912074 | − | 0.410026i | \(-0.134480\pi\) |
−0.811130 | + | 0.584866i | \(0.801147\pi\) | |||||||
\(864\) | −5.17673 | − | 0.448873i | −0.176116 | − | 0.0152710i | ||||
\(865\) | −41.7385 | + | 72.2932i | −1.41915 | + | 2.45804i | ||||
\(866\) | 0.104386 | − | 0.180801i | 0.00354717 | − | 0.00614387i | ||||
\(867\) | 43.1443 | − | 14.3088i | 1.46526 | − | 0.485953i | ||||
\(868\) | −8.43563 | − | 15.9235i | −0.286324 | − | 0.540479i | ||||
\(869\) | 8.45813 | − | 14.6499i | 0.286922 | − | 0.496964i | ||||
\(870\) | 3.24907 | − | 15.7558i | 0.110154 | − | 0.534170i | ||||
\(871\) | −25.5512 | −0.865770 | ||||||||
\(872\) | −0.0945538 | + | 0.163772i | −0.00320200 | + | 0.00554602i | ||||
\(873\) | 4.60940 | + | 39.2605i | 0.156005 | + | 1.32877i | ||||
\(874\) | 5.58836 | 0.189029 | ||||||||
\(875\) | −19.1723 | + | 30.5785i | −0.648143 | + | 1.03374i | ||||
\(876\) | −4.22067 | + | 20.4673i | −0.142603 | + | 0.691527i | ||||
\(877\) | 3.92944 | 0.132688 | 0.0663439 | − | 0.997797i | \(-0.478867\pi\) | ||||
0.0663439 | + | 0.997797i | \(0.478867\pi\) | |||||||
\(878\) | 4.98398 | + | 8.63250i | 0.168201 | + | 0.291333i | ||||
\(879\) | 27.7218 | + | 24.6575i | 0.935032 | + | 0.831676i | ||||
\(880\) | 2.73236 | − | 4.73259i | 0.0921078 | − | 0.159535i | ||||
\(881\) | 37.6552 | 1.26864 | 0.634318 | − | 0.773072i | \(-0.281281\pi\) | ||||
0.634318 | + | 0.773072i | \(0.281281\pi\) | |||||||
\(882\) | −18.6309 | − | 9.68961i | −0.627336 | − | 0.326266i | ||||
\(883\) | −53.2334 | −1.79145 | −0.895723 | − | 0.444613i | \(-0.853341\pi\) | ||||
−0.895723 | + | 0.444613i | \(0.853341\pi\) | |||||||
\(884\) | 8.87636 | − | 15.3743i | 0.298544 | − | 0.517094i | ||||
\(885\) | 42.0265 | − | 13.9381i | 1.41270 | − | 0.468523i | ||||
\(886\) | 7.84981 | + | 13.5963i | 0.263720 | + | 0.456776i | ||||
\(887\) | −36.9876 | −1.24192 | −0.620961 | − | 0.783841i | \(-0.713258\pi\) | ||||
−0.620961 | + | 0.783841i | \(0.713258\pi\) | |||||||
\(888\) | 4.56615 | − | 1.51436i | 0.153230 | − | 0.0508187i | ||||
\(889\) | 4.01493 | − | 6.40353i | 0.134656 | − | 0.214768i | ||||
\(890\) | 32.8392 | 1.10077 | ||||||||
\(891\) | −9.13279 | − | 9.66022i | −0.305960 | − | 0.323630i | ||||
\(892\) | −3.61126 | + | 6.25489i | −0.120914 | + | 0.209429i | ||||
\(893\) | −6.21015 | −0.207815 | ||||||||
\(894\) | −0.431988 | − | 0.384237i | −0.0144478 | − | 0.0128508i | ||||
\(895\) | 0.617454 | − | 1.06946i | 0.0206392 | − | 0.0357482i | ||||
\(896\) | −1.23855 | − | 2.33795i | −0.0413770 | − | 0.0781053i | ||||
\(897\) | −21.9691 | − | 19.5407i | −0.733525 | − | 0.652443i | ||||
\(898\) | −16.8127 | + | 29.1204i | −0.561046 | + | 0.971761i | ||||
\(899\) | 8.54944 | − | 14.8081i | 0.285140 | − | 0.493877i | ||||
\(900\) | 3.03892 | + | 25.8840i | 0.101297 | + | 0.862799i | ||||
\(901\) | 10.5549 | + | 18.2817i | 0.351636 | + | 0.609052i | ||||
\(902\) | 3.03637 | + | 5.25915i | 0.101100 | + | 0.175111i | ||||
\(903\) | 0.0134736 | − | 0.0551078i | 0.000448374 | − | 0.00183387i | ||||
\(904\) | −6.78180 | + | 11.7464i | −0.225559 | + | 0.390680i | ||||
\(905\) | 85.9875 | 2.85832 | ||||||||
\(906\) | 25.7669 | + | 22.9187i | 0.856047 | + | 0.761422i | ||||
\(907\) | −39.0159 | −1.29550 | −0.647752 | − | 0.761852i | \(-0.724291\pi\) | ||||
−0.647752 | + | 0.761852i | \(0.724291\pi\) | |||||||
\(908\) | −6.82760 | − | 11.8258i | −0.226582 | − | 0.392451i | ||||
\(909\) | −14.4777 | − | 6.23623i | −0.480195 | − | 0.206843i | ||||
\(910\) | 26.4072 | + | 0.962383i | 0.875391 | + | 0.0319027i | ||||
\(911\) | −12.8090 | − | 22.1859i | −0.424382 | − | 0.735052i | 0.571980 | − | 0.820267i | \(-0.306175\pi\) |
−0.996363 | + | 0.0852158i | \(0.972842\pi\) | |||||||
\(912\) | −0.310892 | + | 1.50761i | −0.0102947 | + | 0.0499221i | ||||
\(913\) | −3.30656 | − | 5.72713i | −0.109431 | − | 0.189540i | ||||
\(914\) | −16.3541 | − | 28.3262i | −0.540947 | − | 0.936948i | ||||
\(915\) | 27.4498 | + | 24.4156i | 0.907462 | + | 0.807154i | ||||
\(916\) | −8.68725 | − | 15.0468i | −0.287035 | − | 0.497159i | ||||
\(917\) | −0.218810 | + | 0.348986i | −0.00722574 | + | 0.0115245i | ||||
\(918\) | 34.0421 | + | 2.95178i | 1.12356 | + | 0.0974234i | ||||
\(919\) | 10.3367 | + | 17.9038i | 0.340978 | + | 0.590591i | 0.984615 | − | 0.174740i | \(-0.0559086\pi\) |
−0.643637 | + | 0.765331i | \(0.722575\pi\) | |||||||
\(920\) | 23.2632 | 0.766966 | ||||||||
\(921\) | 1.98948 | − | 9.64761i | 0.0655556 | − | 0.317900i | ||||
\(922\) | 4.14331 | 0.136453 | ||||||||
\(923\) | 7.37636 | − | 12.7762i | 0.242796 | − | 0.420535i | ||||
\(924\) | 1.60762 | − | 6.57525i | 0.0528869 | − | 0.216310i | ||||
\(925\) | −12.0643 | − | 20.8960i | −0.396672 | − | 0.687055i | ||||
\(926\) | −8.34176 | − | 14.4484i | −0.274127 | − | 0.474803i | ||||
\(927\) | −4.59084 | − | 1.97749i | −0.150783 | − | 0.0649492i | ||||
\(928\) | 1.25526 | − | 2.17417i | 0.0412059 | − | 0.0713708i | ||||
\(929\) | 1.87017 | − | 3.23922i | 0.0613582 | − | 0.106275i | −0.833715 | − | 0.552196i | \(-0.813790\pi\) |
0.895073 | + | 0.445920i | \(0.147123\pi\) | |||||||
\(930\) | −8.81453 | + | 42.7444i | −0.289040 | + | 1.40165i | ||||
\(931\) | −3.49450 | + | 5.14696i | −0.114528 | + | 0.168685i | ||||
\(932\) | 7.62110 | − | 13.2001i | 0.249637 | − | 0.432384i | ||||
\(933\) | −19.2687 | + | 6.39047i | −0.630830 | + | 0.209215i | ||||
\(934\) | −29.9171 | −0.978916 | ||||||||
\(935\) | −17.9680 | + | 31.1214i | −0.587615 | + | 1.01778i | ||||
\(936\) | 6.49381 | − | 4.83967i | 0.212257 | − | 0.158189i | ||||
\(937\) | −27.1345 | −0.886445 | −0.443223 | − | 0.896412i | \(-0.646165\pi\) | ||||
−0.443223 | + | 0.896412i | \(0.646165\pi\) | |||||||
\(938\) | 13.3022 | − | 21.2160i | 0.434331 | − | 0.692727i | ||||
\(939\) | 34.6501 | + | 30.8200i | 1.13076 | + | 1.00577i | ||||
\(940\) | −25.8516 | −0.843186 | ||||||||
\(941\) | −3.16435 | − | 5.48081i | −0.103155 | − | 0.178669i | 0.809828 | − | 0.586667i | \(-0.199560\pi\) |
−0.912983 | + | 0.407998i | \(0.866227\pi\) | |||||||
\(942\) | 2.43571 | − | 11.8115i | 0.0793596 | − | 0.384840i | ||||
\(943\) | −12.9258 | + | 22.3881i | −0.420922 | + | 0.729058i | ||||
\(944\) | 6.90978 | 0.224894 | ||||||||
\(945\) | 19.8381 | + | 46.8331i | 0.645334 | + | 1.52348i | ||||
\(946\) | 0.0182861 | 0.000594531 | ||||||||
\(947\) | −15.6396 | + | 27.0886i | −0.508218 | + | 0.880260i | 0.491736 | + | 0.870744i | \(0.336362\pi\) |
−0.999955 | + | 0.00951587i | \(0.996971\pi\) | |||||||
\(948\) | −4.00619 | + | 19.4273i | −0.130115 | + | 0.630968i | ||||
\(949\) | −16.2861 | − | 28.2084i | −0.528670 | − | 0.915684i | ||||
\(950\) | 7.72067 | 0.250492 | ||||||||
\(951\) | −2.46217 | − | 2.19001i | −0.0798414 | − | 0.0710160i | ||||
\(952\) | 8.14468 | + | 15.3743i | 0.263971 | + | 0.498284i | ||||
\(953\) | 4.28937 | 0.138946 | 0.0694732 | − | 0.997584i | \(-0.477868\pi\) | ||||
0.0694732 | + | 0.997584i | \(0.477868\pi\) | |||||||
\(954\) | 1.12296 | + | 9.56475i | 0.0363570 | + | 0.309670i | ||||
\(955\) | 30.1916 | − | 52.2933i | 0.976977 | − | 1.69217i | ||||
\(956\) | −18.9505 | −0.612902 | ||||||||
\(957\) | 6.09641 | − | 2.02187i | 0.197069 | − | 0.0653579i | ||||
\(958\) | 1.47965 | − | 2.56283i | 0.0478053 | − | 0.0828011i | ||||
\(959\) | 4.79487 | − | 7.64749i | 0.154834 | − | 0.246950i | ||||
\(960\) | −1.29418 | + | 6.27589i | −0.0417695 | + | 0.202554i | ||||
\(961\) | −7.69413 | + | 13.3266i | −0.248198 | + | 0.429891i | ||||
\(962\) | −3.74907 | + | 6.49358i | −0.120875 | + | 0.209361i | ||||
\(963\) | 3.76578 | + | 32.0750i | 0.121351 | + | 1.03360i | ||||
\(964\) | 12.2527 | + | 21.2223i | 0.394633 | + | 0.683525i | ||||
\(965\) | 26.4920 | + | 45.8854i | 0.852806 | + | 1.47710i | ||||
\(966\) | 27.6625 | − | 8.06861i | 0.890026 | − | 0.259603i | ||||
\(967\) | −7.59201 | + | 13.1497i | −0.244142 | + | 0.422867i | −0.961890 | − | 0.273436i | \(-0.911840\pi\) |
0.717748 | + | 0.696303i | \(0.245173\pi\) | |||||||
\(968\) | −8.81818 | −0.283427 | ||||||||
\(969\) | 2.04442 | − | 9.91405i | 0.0656763 | − | 0.318485i | ||||
\(970\) | 48.7490 | 1.56524 | ||||||||
\(971\) | 1.62364 | + | 2.81223i | 0.0521052 | + | 0.0902489i | 0.890902 | − | 0.454196i | \(-0.150074\pi\) |
−0.838796 | + | 0.544445i | \(0.816740\pi\) | |||||||
\(972\) | 13.7305 | + | 7.38061i | 0.440406 | + | 0.236733i | ||||
\(973\) | −16.7335 | − | 31.5869i | −0.536450 | − | 1.01263i | ||||
\(974\) | −14.0309 | − | 24.3022i | −0.449578 | − | 0.778692i | ||||
\(975\) | −30.3516 | − | 26.9966i | −0.972029 | − | 0.864584i | ||||
\(976\) | 2.86652 | + | 4.96497i | 0.0917552 | + | 0.158925i | ||||
\(977\) | −7.77197 | − | 13.4614i | −0.248647 | − | 0.430670i | 0.714503 | − | 0.699632i | \(-0.246653\pi\) |
−0.963151 | + | 0.268962i | \(0.913319\pi\) | |||||||
\(978\) | 2.82444 | − | 13.6966i | 0.0903157 | − | 0.437969i | ||||
\(979\) | 6.55563 | + | 11.3547i | 0.209519 | + | 0.362897i | ||||
\(980\) | −14.5469 | + | 21.4258i | −0.464683 | + | 0.684421i | ||||
\(981\) | 0.454888 | − | 0.339016i | 0.0145235 | − | 0.0108240i | ||||
\(982\) | 17.0734 | + | 29.5721i | 0.544835 | + | 0.943682i | ||||
\(983\) | 12.3832 | 0.394961 | 0.197481 | − | 0.980307i | \(-0.436724\pi\) | ||||
0.197481 | + | 0.980307i | \(0.436724\pi\) | |||||||
\(984\) | −5.32072 | − | 4.73259i | −0.169618 | − | 0.150869i | ||||
\(985\) | 8.96796 | 0.285743 | ||||||||
\(986\) | −8.25457 | + | 14.2973i | −0.262879 | + | 0.455320i | ||||
\(987\) | −30.7403 | + | 8.96636i | −0.978476 | + | 0.285402i | ||||
\(988\) | −1.19963 | − | 2.07782i | −0.0381653 | − | 0.0661042i | ||||
\(989\) | 0.0389218 | + | 0.0674145i | 0.00123764 | + | 0.00214366i | ||||
\(990\) | −13.1451 | + | 9.79669i | −0.417778 | + | 0.311359i | ||||
\(991\) | −3.32760 | + | 5.76358i | −0.105705 | + | 0.183086i | −0.914026 | − | 0.405656i | \(-0.867043\pi\) |
0.808321 | + | 0.588742i | \(0.200377\pi\) | |||||||
\(992\) | −3.40545 | + | 5.89841i | −0.108123 | + | 0.187275i | ||||
\(993\) | −7.20513 | − | 6.40869i | −0.228648 | − | 0.203374i | ||||
\(994\) | 6.76833 | + | 12.7762i | 0.214678 | + | 0.405237i | ||||
\(995\) | −11.3047 | + | 19.5803i | −0.358383 | + | 0.620738i | ||||
\(996\) | 5.79418 | + | 5.15371i | 0.183596 | + | 0.163302i | ||||
\(997\) | 4.80208 | 0.152083 | 0.0760417 | − | 0.997105i | \(-0.475772\pi\) | ||||
0.0760417 | + | 0.997105i | \(0.475772\pi\) | |||||||
\(998\) | 1.14035 | − | 1.97515i | 0.0360973 | − | 0.0625223i | ||||
\(999\) | −14.3782 | − | 1.24673i | −0.454907 | − | 0.0394449i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))