Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(67,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, 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("441.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.g (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.3 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.79 |
Dual form | 441.2.g.b.67.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.439693 | + | 0.761570i | 0.310910 | + | 0.538511i | 0.978560 | − | 0.205964i | \(-0.0660330\pi\) |
−0.667650 | + | 0.744475i | \(0.732700\pi\) | |||||||
\(3\) | 1.11334 | − | 1.32683i | 0.642788 | − | 0.766044i | ||||
\(4\) | 0.613341 | − | 1.06234i | 0.306670 | − | 0.531169i | ||||
\(5\) | −1.34730 | −0.602529 | −0.301265 | − | 0.953541i | \(-0.597409\pi\) | ||||
−0.301265 | + | 0.953541i | \(0.597409\pi\) | |||||||
\(6\) | 1.50000 | + | 0.264490i | 0.612372 | + | 0.107978i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.83750 | 1.00321 | ||||||||
\(9\) | −0.520945 | − | 2.95442i | −0.173648 | − | 0.984808i | ||||
\(10\) | −0.592396 | − | 1.02606i | −0.187332 | − | 0.324469i | ||||
\(11\) | 1.65270 | 0.498309 | 0.249154 | − | 0.968464i | \(-0.419847\pi\) | ||||
0.249154 | + | 0.968464i | \(0.419847\pi\) | |||||||
\(12\) | −0.726682 | − | 1.99654i | −0.209775 | − | 0.576352i | ||||
\(13\) | −1.68479 | − | 2.91815i | −0.467277 | − | 0.809348i | 0.532024 | − | 0.846729i | \(-0.321432\pi\) |
−0.999301 | + | 0.0373813i | \(0.988098\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | + | 1.78763i | −0.387298 | + | 0.461564i | ||||
\(16\) | 0.0209445 | + | 0.0362770i | 0.00523613 | + | 0.00906925i | ||||
\(17\) | 0.233956 | + | 0.405223i | 0.0567426 | + | 0.0982810i | 0.893001 | − | 0.450054i | \(-0.148595\pi\) |
−0.836259 | + | 0.548335i | \(0.815262\pi\) | |||||||
\(18\) | 2.02094 | − | 1.69577i | 0.476341 | − | 0.399698i | ||||
\(19\) | −1.61334 | + | 2.79439i | −0.370126 | + | 0.641077i | −0.989585 | − | 0.143953i | \(-0.954019\pi\) |
0.619459 | + | 0.785029i | \(0.287352\pi\) | |||||||
\(20\) | −0.826352 | + | 1.43128i | −0.184778 | + | 0.320045i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.726682 | + | 1.25865i | 0.154929 | + | 0.268345i | ||||
\(23\) | 8.94356 | 1.86486 | 0.932431 | − | 0.361348i | \(-0.117683\pi\) | ||||
0.932431 | + | 0.361348i | \(0.117683\pi\) | |||||||
\(24\) | 3.15910 | − | 3.76487i | 0.644849 | − | 0.768501i | ||||
\(25\) | −3.18479 | −0.636959 | ||||||||
\(26\) | 1.48158 | − | 2.56617i | 0.290562 | − | 0.503268i | ||||
\(27\) | −4.50000 | − | 2.59808i | −0.866025 | − | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.13429 | + | 5.42874i | −0.582022 | + | 1.00809i | 0.413217 | + | 0.910632i | \(0.364405\pi\) |
−0.995239 | + | 0.0974595i | \(0.968928\pi\) | |||||||
\(30\) | −2.02094 | − | 0.356347i | −0.368972 | − | 0.0650598i | ||||
\(31\) | 4.61721 | − | 7.99724i | 0.829276 | − | 1.43635i | −0.0693317 | − | 0.997594i | \(-0.522087\pi\) |
0.898607 | − | 0.438754i | \(-0.144580\pi\) | |||||||
\(32\) | 2.81908 | − | 4.88279i | 0.498347 | − | 0.863163i | ||||
\(33\) | 1.84002 | − | 2.19285i | 0.320307 | − | 0.381727i | ||||
\(34\) | −0.205737 | + | 0.356347i | −0.0352836 | + | 0.0611130i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.45811 | − | 1.25865i | −0.576352 | − | 0.209775i | ||||
\(37\) | −4.61721 | + | 7.99724i | −0.759065 | + | 1.31474i | 0.184263 | + | 0.982877i | \(0.441010\pi\) |
−0.943328 | + | 0.331862i | \(0.892323\pi\) | |||||||
\(38\) | −2.83750 | −0.460303 | ||||||||
\(39\) | −5.74763 | − | 1.01346i | −0.920357 | − | 0.162284i | ||||
\(40\) | −3.82295 | −0.604461 | ||||||||
\(41\) | 1.70574 | + | 2.95442i | 0.266391 | + | 0.461403i | 0.967927 | − | 0.251231i | \(-0.0808353\pi\) |
−0.701536 | + | 0.712634i | \(0.747502\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.20574 | − | 3.82045i | 0.336372 | − | 0.582613i | −0.647376 | − | 0.762171i | \(-0.724133\pi\) |
0.983747 | + | 0.179558i | \(0.0574668\pi\) | |||||||
\(44\) | 1.01367 | − | 1.75573i | 0.152817 | − | 0.264686i | ||||
\(45\) | 0.701867 | + | 3.98048i | 0.104628 | + | 0.593375i | ||||
\(46\) | 3.93242 | + | 6.81115i | 0.579803 | + | 1.00425i | ||||
\(47\) | 4.67752 | + | 8.10170i | 0.682286 | + | 1.18175i | 0.974281 | + | 0.225335i | \(0.0723475\pi\) |
−0.291995 | + | 0.956420i | \(0.594319\pi\) | |||||||
\(48\) | 0.0714517 | + | 0.0125989i | 0.0103132 | + | 0.00181849i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.40033 | − | 2.42544i | −0.198037 | − | 0.343009i | ||||
\(51\) | 0.798133 | + | 0.140732i | 0.111761 | + | 0.0197065i | ||||
\(52\) | −4.13341 | −0.573201 | ||||||||
\(53\) | 0.286989 | + | 0.497079i | 0.0394210 | + | 0.0682791i | 0.885063 | − | 0.465472i | \(-0.154115\pi\) |
−0.845642 | + | 0.533751i | \(0.820782\pi\) | |||||||
\(54\) | − | 4.56942i | − | 0.621819i | ||||||
\(55\) | −2.22668 | −0.300246 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.91147 | + | 5.25173i | 0.253181 | + | 0.695609i | ||||
\(58\) | −5.51249 | −0.723825 | ||||||||
\(59\) | −5.19846 | + | 9.00400i | −0.676782 | + | 1.17222i | 0.299162 | + | 0.954202i | \(0.403293\pi\) |
−0.975945 | + | 0.218019i | \(0.930041\pi\) | |||||||
\(60\) | 0.979055 | + | 2.68993i | 0.126396 | + | 0.347269i | ||||
\(61\) | 3.81908 | + | 6.61484i | 0.488983 | + | 0.846943i | 0.999920 | − | 0.0126752i | \(-0.00403474\pi\) |
−0.510937 | + | 0.859618i | \(0.670701\pi\) | |||||||
\(62\) | 8.12061 | 1.03132 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.04189 | 0.630236 | ||||||||
\(65\) | 2.26991 | + | 3.93161i | 0.281548 | + | 0.487656i | ||||
\(66\) | 2.47906 | + | 0.437124i | 0.305151 | + | 0.0538063i | ||||
\(67\) | −0.298133 | + | 0.516382i | −0.0364228 | + | 0.0630861i | −0.883662 | − | 0.468125i | \(-0.844930\pi\) |
0.847239 | + | 0.531211i | \(0.178263\pi\) | |||||||
\(68\) | 0.573978 | 0.0696051 | ||||||||
\(69\) | 9.95723 | − | 11.8666i | 1.19871 | − | 1.42857i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.554378 | −0.0657925 | −0.0328963 | − | 0.999459i | \(-0.510473\pi\) | ||||
−0.0328963 | + | 0.999459i | \(0.510473\pi\) | |||||||
\(72\) | −1.47818 | − | 8.38316i | −0.174205 | − | 0.987965i | ||||
\(73\) | 1.02481 | + | 1.77503i | 0.119946 | + | 0.207752i | 0.919746 | − | 0.392514i | \(-0.128395\pi\) |
−0.799800 | + | 0.600266i | \(0.795061\pi\) | |||||||
\(74\) | −8.12061 | −0.944002 | ||||||||
\(75\) | −3.54576 | + | 4.22567i | −0.409429 | + | 0.487939i | ||||
\(76\) | 1.97906 | + | 3.42782i | 0.227013 | + | 0.393198i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.75537 | − | 4.82283i | −0.198756 | − | 0.546078i | ||||
\(79\) | 1.20187 | + | 2.08169i | 0.135221 | + | 0.234209i | 0.925682 | − | 0.378303i | \(-0.123492\pi\) |
−0.790461 | + | 0.612512i | \(0.790159\pi\) | |||||||
\(80\) | −0.0282185 | − | 0.0488759i | −0.00315492 | − | 0.00546449i | ||||
\(81\) | −8.45723 | + | 3.07818i | −0.939693 | + | 0.342020i | ||||
\(82\) | −1.50000 | + | 2.59808i | −0.165647 | + | 0.286910i | ||||
\(83\) | −7.52481 | + | 13.0334i | −0.825956 | + | 1.43060i | 0.0752309 | + | 0.997166i | \(0.476031\pi\) |
−0.901187 | + | 0.433431i | \(0.857303\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.315207 | − | 0.545955i | −0.0341891 | − | 0.0592172i | ||||
\(86\) | 3.87939 | 0.418325 | ||||||||
\(87\) | 3.71348 | + | 10.2027i | 0.398127 | + | 1.09384i | ||||
\(88\) | 4.68954 | 0.499907 | ||||||||
\(89\) | 4.54323 | − | 7.86911i | 0.481582 | − | 0.834124i | −0.518195 | − | 0.855263i | \(-0.673396\pi\) |
0.999777 | + | 0.0211385i | \(0.00672911\pi\) | |||||||
\(90\) | −2.72281 | + | 2.28471i | −0.287010 | + | 0.240830i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.48545 | − | 9.50108i | 0.571898 | − | 0.990556i | ||||
\(93\) | −5.47044 | − | 15.0299i | −0.567258 | − | 1.55853i | ||||
\(94\) | −4.11334 | + | 7.12452i | −0.424259 | + | 0.734838i | ||||
\(95\) | 2.17365 | − | 3.76487i | 0.223012 | − | 0.386267i | ||||
\(96\) | −3.34002 | − | 9.17664i | −0.340890 | − | 0.936587i | ||||
\(97\) | −0.949493 | + | 1.64457i | −0.0964064 | + | 0.166981i | −0.910195 | − | 0.414181i | \(-0.864068\pi\) |
0.813788 | + | 0.581161i | \(0.197402\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.860967 | − | 4.88279i | −0.0865304 | − | 0.490738i | ||||
\(100\) | −1.95336 | + | 3.38332i | −0.195336 | + | 0.338332i | ||||
\(101\) | 1.70914 | 0.170066 | 0.0850329 | − | 0.996378i | \(-0.472900\pi\) | ||||
0.0850329 | + | 0.996378i | \(0.472900\pi\) | |||||||
\(102\) | 0.243756 | + | 0.669713i | 0.0241354 | + | 0.0663115i | ||||
\(103\) | 3.63816 | 0.358478 | 0.179239 | − | 0.983806i | \(-0.442636\pi\) | ||||
0.179239 | + | 0.983806i | \(0.442636\pi\) | |||||||
\(104\) | −4.78059 | − | 8.28023i | −0.468776 | − | 0.811943i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.252374 | + | 0.437124i | −0.0245127 | + | 0.0424573i | ||||
\(107\) | −3.56418 | + | 6.17334i | −0.344562 | + | 0.596799i | −0.985274 | − | 0.170982i | \(-0.945306\pi\) |
0.640712 | + | 0.767781i | \(0.278639\pi\) | |||||||
\(108\) | −5.52007 | + | 3.18701i | −0.531169 | + | 0.306670i | ||||
\(109\) | −0.201867 | − | 0.349643i | −0.0193353 | − | 0.0334898i | 0.856196 | − | 0.516651i | \(-0.172822\pi\) |
−0.875531 | + | 0.483162i | \(0.839488\pi\) | |||||||
\(110\) | −0.979055 | − | 1.69577i | −0.0933493 | − | 0.161686i | ||||
\(111\) | 5.47044 | + | 15.0299i | 0.519231 | + | 1.42658i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.18479 | − | 12.4444i | −0.675888 | − | 1.17067i | −0.976208 | − | 0.216835i | \(-0.930427\pi\) |
0.300320 | − | 0.953839i | \(-0.402907\pi\) | |||||||
\(114\) | −3.15910 | + | 3.76487i | −0.295877 | + | 0.352612i | ||||
\(115\) | −12.0496 | −1.12363 | ||||||||
\(116\) | 3.84477 | + | 6.65934i | 0.356978 | + | 0.618304i | ||||
\(117\) | −7.74376 | + | 6.49778i | −0.715910 | + | 0.600720i | ||||
\(118\) | −9.14290 | −0.841672 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −4.25624 | + | 5.07239i | −0.388540 | + | 0.463044i | ||||
\(121\) | −8.26857 | −0.751688 | ||||||||
\(122\) | −3.35844 | + | 5.81699i | −0.304059 | + | 0.526646i | ||||
\(123\) | 5.81908 | + | 1.02606i | 0.524689 | + | 0.0925168i | ||||
\(124\) | −5.66385 | − | 9.81007i | −0.508629 | − | 0.880971i | ||||
\(125\) | 11.0273 | 0.986315 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −20.7716 | −1.84318 | −0.921589 | − | 0.388167i | \(-0.873108\pi\) | ||||
−0.921589 | + | 0.388167i | \(0.873108\pi\) | |||||||
\(128\) | −3.42127 | − | 5.92582i | −0.302401 | − | 0.523774i | ||||
\(129\) | −2.61334 | − | 7.18009i | −0.230092 | − | 0.632172i | ||||
\(130\) | −1.99613 | + | 3.45740i | −0.175072 | + | 0.303234i | ||||
\(131\) | 7.16519 | 0.626026 | 0.313013 | − | 0.949749i | \(-0.398662\pi\) | ||||
0.313013 | + | 0.949749i | \(0.398662\pi\) | |||||||
\(132\) | −1.20099 | − | 3.29969i | −0.104533 | − | 0.287201i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.524348 | −0.0452968 | ||||||||
\(135\) | 6.06283 | + | 3.50038i | 0.521806 | + | 0.301265i | ||||
\(136\) | 0.663848 | + | 1.14982i | 0.0569245 | + | 0.0985961i | ||||
\(137\) | 2.56893 | 0.219478 | 0.109739 | − | 0.993960i | \(-0.464998\pi\) | ||||
0.109739 | + | 0.993960i | \(0.464998\pi\) | |||||||
\(138\) | 13.4153 | + | 2.36549i | 1.14199 | + | 0.201364i | ||||
\(139\) | −3.06670 | − | 5.31169i | −0.260114 | − | 0.450531i | 0.706158 | − | 0.708055i | \(-0.250427\pi\) |
−0.966272 | + | 0.257523i | \(0.917094\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 15.9572 | + | 2.81369i | 1.34384 | + | 0.236956i | ||||
\(142\) | −0.243756 | − | 0.422197i | −0.0204555 | − | 0.0354300i | ||||
\(143\) | −2.78446 | − | 4.82283i | −0.232848 | − | 0.403305i | ||||
\(144\) | 0.0962667 | − | 0.0807773i | 0.00802222 | − | 0.00673144i | ||||
\(145\) | 4.22281 | − | 7.31412i | 0.350685 | − | 0.607405i | ||||
\(146\) | −0.901207 | + | 1.56094i | −0.0745844 | + | 0.129184i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.66385 | + | 9.81007i | 0.465565 | + | 0.806383i | ||||
\(149\) | 0.431074 | 0.0353150 | 0.0176575 | − | 0.999844i | \(-0.494379\pi\) | ||||
0.0176575 | + | 0.999844i | \(0.494379\pi\) | |||||||
\(150\) | −4.77719 | − | 0.842347i | −0.390056 | − | 0.0687774i | ||||
\(151\) | −2.47060 | −0.201055 | −0.100527 | − | 0.994934i | \(-0.532053\pi\) | ||||
−0.100527 | + | 0.994934i | \(0.532053\pi\) | |||||||
\(152\) | −4.57785 | + | 7.92907i | −0.371313 | + | 0.643132i | ||||
\(153\) | 1.07532 | − | 0.902302i | 0.0869346 | − | 0.0729468i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.22075 | + | 10.7747i | −0.499663 | + | 0.865441i | ||||
\(156\) | −4.60189 | + | 5.48432i | −0.368446 | + | 0.439097i | ||||
\(157\) | 5.06670 | − | 8.77579i | 0.404367 | − | 0.700384i | −0.589881 | − | 0.807491i | \(-0.700825\pi\) |
0.994248 | + | 0.107106i | \(0.0341585\pi\) | |||||||
\(158\) | −1.05690 | + | 1.83061i | −0.0840828 | + | 0.145636i | ||||
\(159\) | 0.979055 | + | 0.172634i | 0.0776441 | + | 0.0136908i | ||||
\(160\) | −3.79813 | + | 6.57856i | −0.300269 | + | 0.520081i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −6.06283 | − | 5.08732i | −0.476341 | − | 0.399698i | ||||
\(163\) | 1.29813 | − | 2.24843i | 0.101678 | − | 0.176111i | −0.810698 | − | 0.585464i | \(-0.800912\pi\) |
0.912376 | + | 0.409353i | \(0.134246\pi\) | |||||||
\(164\) | 4.18479 | 0.326777 | ||||||||
\(165\) | −2.47906 | + | 2.95442i | −0.192994 | + | 0.230002i | ||||
\(166\) | −13.2344 | −1.02719 | ||||||||
\(167\) | −11.5915 | − | 20.0771i | −0.896979 | − | 1.55361i | −0.831337 | − | 0.555769i | \(-0.812424\pi\) |
−0.0656422 | − | 0.997843i | \(-0.520910\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.822948 | − | 1.42539i | 0.0633037 | − | 0.109645i | ||||
\(170\) | 0.277189 | − | 0.480105i | 0.0212594 | − | 0.0368224i | ||||
\(171\) | 9.09627 | + | 3.31077i | 0.695609 | + | 0.253181i | ||||
\(172\) | −2.70574 | − | 4.68647i | −0.206311 | − | 0.357340i | ||||
\(173\) | −2.37598 | − | 4.11532i | −0.180643 | − | 0.312882i | 0.761457 | − | 0.648215i | \(-0.224484\pi\) |
−0.942100 | + | 0.335333i | \(0.891151\pi\) | |||||||
\(174\) | −6.13728 | + | 7.31412i | −0.465266 | + | 0.554482i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.0346151 | + | 0.0599551i | 0.00260921 | + | 0.00451929i | ||||
\(177\) | 6.15910 | + | 16.9220i | 0.462946 | + | 1.27193i | ||||
\(178\) | 7.99050 | 0.598914 | ||||||||
\(179\) | 4.26604 | + | 7.38901i | 0.318859 | + | 0.552280i | 0.980250 | − | 0.197761i | \(-0.0633670\pi\) |
−0.661391 | + | 0.750041i | \(0.730034\pi\) | |||||||
\(180\) | 4.65910 | + | 1.69577i | 0.347269 | + | 0.126396i | ||||
\(181\) | 17.2344 | 1.28102 | 0.640512 | − | 0.767948i | \(-0.278722\pi\) | ||||
0.640512 | + | 0.767948i | \(0.278722\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 13.0287 | + | 2.29731i | 0.963108 | + | 0.169822i | ||||
\(184\) | 25.3773 | 1.87084 | ||||||||
\(185\) | 6.22075 | − | 10.7747i | 0.457359 | − | 0.792169i | ||||
\(186\) | 9.04101 | − | 10.7747i | 0.662919 | − | 0.790036i | ||||
\(187\) | 0.386659 | + | 0.669713i | 0.0282753 | + | 0.0489743i | ||||
\(188\) | 11.4757 | 0.836948 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.82295 | 0.277346 | ||||||||
\(191\) | −6.45471 | − | 11.1799i | −0.467046 | − | 0.808948i | 0.532245 | − | 0.846590i | \(-0.321349\pi\) |
−0.999291 | + | 0.0376425i | \(0.988015\pi\) | |||||||
\(192\) | 5.61334 | − | 6.68972i | 0.405108 | − | 0.482789i | ||||
\(193\) | 0.319078 | − | 0.552659i | 0.0229677 | − | 0.0397813i | −0.854313 | − | 0.519759i | \(-0.826022\pi\) |
0.877281 | + | 0.479977i | \(0.159355\pi\) | |||||||
\(194\) | −1.66994 | −0.119895 | ||||||||
\(195\) | 7.74376 | + | 1.36543i | 0.554542 | + | 0.0977807i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.4456 | 0.815467 | 0.407733 | − | 0.913101i | \(-0.366319\pi\) | ||||
0.407733 | + | 0.913101i | \(0.366319\pi\) | |||||||
\(198\) | 3.34002 | − | 2.80261i | 0.237365 | − | 0.199173i | ||||
\(199\) | −1.81908 | − | 3.15074i | −0.128951 | − | 0.223350i | 0.794319 | − | 0.607500i | \(-0.207828\pi\) |
−0.923270 | + | 0.384151i | \(0.874494\pi\) | |||||||
\(200\) | −9.03684 | −0.639001 | ||||||||
\(201\) | 0.353226 | + | 0.970481i | 0.0249147 | + | 0.0684524i | ||||
\(202\) | 0.751497 | + | 1.30163i | 0.0528751 | + | 0.0915824i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.639033 | − | 0.761570i | 0.0447413 | − | 0.0533206i | ||||
\(205\) | −2.29813 | − | 3.98048i | −0.160509 | − | 0.278009i | ||||
\(206\) | 1.59967 | + | 2.77071i | 0.111454 | + | 0.193045i | ||||
\(207\) | −4.65910 | − | 26.4231i | −0.323830 | − | 1.83653i | ||||
\(208\) | 0.0705744 | − | 0.122238i | 0.00489345 | − | 0.00847571i | ||||
\(209\) | −2.66637 | + | 4.61830i | −0.184437 | + | 0.319454i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.91147 | − | 5.04282i | −0.200434 | − | 0.347162i | 0.748234 | − | 0.663435i | \(-0.230902\pi\) |
−0.948668 | + | 0.316273i | \(0.897569\pi\) | |||||||
\(212\) | 0.704088 | 0.0483570 | ||||||||
\(213\) | −0.617211 | + | 0.735564i | −0.0422906 | + | 0.0504000i | ||||
\(214\) | −6.26857 | −0.428511 | ||||||||
\(215\) | −2.97178 | + | 5.14728i | −0.202674 | + | 0.351041i | ||||
\(216\) | −12.7687 | − | 7.37203i | −0.868802 | − | 0.501603i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.177519 | − | 0.307471i | 0.0120231 | − | 0.0208246i | ||||
\(219\) | 3.49613 | + | 0.616462i | 0.236247 | + | 0.0416566i | ||||
\(220\) | −1.36571 | + | 2.36549i | −0.0920765 | + | 0.159481i | ||||
\(221\) | 0.788333 | − | 1.36543i | 0.0530290 | − | 0.0918490i | ||||
\(222\) | −9.04101 | + | 10.7747i | −0.606793 | + | 0.723148i | ||||
\(223\) | 3.54189 | − | 6.13473i | 0.237182 | − | 0.410812i | −0.722722 | − | 0.691139i | \(-0.757109\pi\) |
0.959905 | + | 0.280327i | \(0.0904428\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.65910 | + | 9.40923i | 0.110607 | + | 0.627282i | ||||
\(226\) | 6.31820 | − | 10.9434i | 0.420280 | − | 0.727947i | ||||
\(227\) | 11.9436 | 0.792722 | 0.396361 | − | 0.918095i | \(-0.370273\pi\) | ||||
0.396361 | + | 0.918095i | \(0.370273\pi\) | |||||||
\(228\) | 6.75150 | + | 1.19047i | 0.447129 | + | 0.0788409i | ||||
\(229\) | 17.5526 | 1.15991 | 0.579955 | − | 0.814649i | \(-0.303070\pi\) | ||||
0.579955 | + | 0.814649i | \(0.303070\pi\) | |||||||
\(230\) | −5.29813 | − | 9.17664i | −0.349349 | − | 0.605089i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.89352 | + | 15.4040i | −0.583888 | + | 1.01132i | ||||
\(233\) | −8.12701 | + | 14.0764i | −0.532418 | + | 0.922175i | 0.466865 | + | 0.884328i | \(0.345383\pi\) |
−0.999284 | + | 0.0378470i | \(0.987950\pi\) | |||||||
\(234\) | −8.35339 | − | 3.04038i | −0.546078 | − | 0.198756i | ||||
\(235\) | −6.30200 | − | 10.9154i | −0.411097 | − | 0.712042i | ||||
\(236\) | 6.37686 | + | 11.0450i | 0.415098 | + | 0.718971i | ||||
\(237\) | 4.10014 | + | 0.722965i | 0.266333 | + | 0.0469616i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.54963 | + | 13.0763i | 0.488345 | + | 0.845838i | 0.999910 | − | 0.0134062i | \(-0.00426745\pi\) |
−0.511565 | + | 0.859244i | \(0.670934\pi\) | |||||||
\(240\) | −0.0962667 | − | 0.0169744i | −0.00621399 | − | 0.00109569i | ||||
\(241\) | 15.6382 | 1.00734 | 0.503671 | − | 0.863896i | \(-0.331982\pi\) | ||||
0.503671 | + | 0.863896i | \(0.331982\pi\) | |||||||
\(242\) | −3.63563 | − | 6.29710i | −0.233707 | − | 0.404793i | ||||
\(243\) | −5.33157 | + | 14.6484i | −0.342020 | + | 0.939693i | ||||
\(244\) | 9.36959 | 0.599826 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.77719 | + | 4.88279i | 0.113309 | + | 0.311315i | ||||
\(247\) | 10.8726 | 0.691806 | ||||||||
\(248\) | 13.1013 | − | 22.6922i | 0.831935 | − | 1.44095i | ||||
\(249\) | 8.91534 | + | 24.4947i | 0.564987 | + | 1.55229i | ||||
\(250\) | 4.84864 | + | 8.39809i | 0.306655 | + | 0.531142i | ||||
\(251\) | −19.0651 | −1.20338 | −0.601690 | − | 0.798730i | \(-0.705506\pi\) | ||||
−0.601690 | + | 0.798730i | \(0.705506\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.7811 | 0.929277 | ||||||||
\(254\) | −9.13310 | − | 15.8190i | −0.573062 | − | 0.992572i | ||||
\(255\) | −1.07532 | − | 0.189608i | −0.0673393 | − | 0.0118737i | ||||
\(256\) | 8.05051 | − | 13.9439i | 0.503157 | − | 0.871493i | ||||
\(257\) | −26.5817 | −1.65812 | −0.829061 | − | 0.559158i | \(-0.811124\pi\) | ||||
−0.829061 | + | 0.559158i | \(0.811124\pi\) | |||||||
\(258\) | 4.31908 | − | 5.14728i | 0.268894 | − | 0.320455i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 5.56893 | 0.345370 | ||||||||
\(261\) | 17.6716 | + | 6.43193i | 1.09384 | + | 0.398127i | ||||
\(262\) | 3.15048 | + | 5.45680i | 0.194637 | + | 0.337122i | ||||
\(263\) | −0.734118 | −0.0452676 | −0.0226338 | − | 0.999744i | \(-0.507205\pi\) | ||||
−0.0226338 | + | 0.999744i | \(0.507205\pi\) | |||||||
\(264\) | 5.22106 | − | 6.22221i | 0.321334 | − | 0.382951i | ||||
\(265\) | −0.386659 | − | 0.669713i | −0.0237523 | − | 0.0411402i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.38279 | − | 14.7891i | −0.329421 | − | 0.905078i | ||||
\(268\) | 0.365715 | + | 0.633436i | 0.0223396 | + | 0.0386933i | ||||
\(269\) | −10.4251 | − | 18.0569i | −0.635632 | − | 1.10095i | −0.986381 | − | 0.164478i | \(-0.947406\pi\) |
0.350749 | − | 0.936470i | \(-0.385927\pi\) | |||||||
\(270\) | 6.15636i | 0.374664i | ||||||||
\(271\) | 3.47906 | − | 6.02590i | 0.211338 | − | 0.366047i | −0.740796 | − | 0.671730i | \(-0.765551\pi\) |
0.952133 | + | 0.305683i | \(0.0988847\pi\) | |||||||
\(272\) | −0.00980018 | + | 0.0169744i | −0.000594223 | + | 0.00102922i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.12954 | + | 1.95642i | 0.0682379 | + | 0.118191i | ||||
\(275\) | −5.26352 | −0.317402 | ||||||||
\(276\) | −6.49912 | − | 17.8562i | −0.391201 | − | 1.07482i | ||||
\(277\) | 17.8726 | 1.07386 | 0.536930 | − | 0.843627i | \(-0.319584\pi\) | ||||
0.536930 | + | 0.843627i | \(0.319584\pi\) | |||||||
\(278\) | 2.69681 | − | 4.67102i | 0.161744 | − | 0.280149i | ||||
\(279\) | −26.0326 | − | 9.47508i | −1.55853 | − | 0.567258i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.1552 | + | 19.3214i | −0.665465 | + | 1.15262i | 0.313694 | + | 0.949524i | \(0.398433\pi\) |
−0.979159 | + | 0.203095i | \(0.934900\pi\) | |||||||
\(282\) | 4.87346 | + | 13.3897i | 0.290210 | + | 0.797346i | ||||
\(283\) | −9.29726 | + | 16.1033i | −0.552665 | + | 0.957243i | 0.445417 | + | 0.895323i | \(0.353056\pi\) |
−0.998081 | + | 0.0619196i | \(0.980278\pi\) | |||||||
\(284\) | −0.340022 | + | 0.588936i | −0.0201766 | + | 0.0349469i | ||||
\(285\) | −2.57532 | − | 7.07564i | −0.152549 | − | 0.419125i | ||||
\(286\) | 2.44862 | − | 4.24113i | 0.144790 | − | 0.250783i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −15.8944 | − | 5.78509i | −0.936587 | − | 0.340890i | ||||
\(289\) | 8.39053 | − | 14.5328i | 0.493561 | − | 0.854872i | ||||
\(290\) | 7.42696 | 0.436126 | ||||||||
\(291\) | 1.12495 | + | 3.09078i | 0.0659459 | + | 0.181185i | ||||
\(292\) | 2.51424 | 0.147135 | ||||||||
\(293\) | 6.54576 | + | 11.3376i | 0.382407 | + | 0.662349i | 0.991406 | − | 0.130822i | \(-0.0417618\pi\) |
−0.608998 | + | 0.793171i | \(0.708428\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.00387 | − | 12.1311i | 0.407781 | − | 0.706298i | ||||
\(296\) | −13.1013 | + | 22.6922i | −0.761499 | + | 1.31895i | ||||
\(297\) | −7.43717 | − | 4.29385i | −0.431548 | − | 0.249154i | ||||
\(298\) | 0.189540 | + | 0.328293i | 0.0109798 | + | 0.0190175i | ||||
\(299\) | −15.0680 | − | 26.0986i | −0.871408 | − | 1.50932i | ||||
\(300\) | 2.31433 | + | 6.35857i | 0.133618 | + | 0.367112i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.08630 | − | 1.88153i | −0.0625098 | − | 0.108270i | ||||
\(303\) | 1.90286 | − | 2.26774i | 0.109316 | − | 0.130278i | ||||
\(304\) | −0.135163 | −0.00775211 | ||||||||
\(305\) | −5.14543 | − | 8.91215i | −0.294626 | − | 0.510308i | ||||
\(306\) | 1.15998 | + | 0.422197i | 0.0663115 | + | 0.0241354i | ||||
\(307\) | −6.31046 | −0.360157 | −0.180078 | − | 0.983652i | \(-0.557635\pi\) | ||||
−0.180078 | + | 0.983652i | \(0.557635\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.05051 | − | 4.82721i | 0.230425 | − | 0.274610i | ||||
\(310\) | −10.9409 | −0.621400 | ||||||||
\(311\) | −4.76217 | + | 8.24833i | −0.270038 | + | 0.467720i | −0.968871 | − | 0.247565i | \(-0.920370\pi\) |
0.698833 | + | 0.715285i | \(0.253703\pi\) | |||||||
\(312\) | −16.3089 | − | 2.87569i | −0.923308 | − | 0.162804i | ||||
\(313\) | −8.81433 | − | 15.2669i | −0.498215 | − | 0.862934i | 0.501782 | − | 0.864994i | \(-0.332678\pi\) |
−0.999998 | + | 0.00205946i | \(0.999344\pi\) | |||||||
\(314\) | 8.91117 | 0.502886 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.94862 | 0.165873 | ||||||||
\(317\) | −4.03849 | − | 6.99486i | −0.226824 | − | 0.392871i | 0.730041 | − | 0.683403i | \(-0.239501\pi\) |
−0.956865 | + | 0.290533i | \(0.906168\pi\) | |||||||
\(318\) | 0.299011 | + | 0.821525i | 0.0167677 | + | 0.0460688i | ||||
\(319\) | −5.18004 | + | 8.97210i | −0.290027 | + | 0.502341i | ||||
\(320\) | −6.79292 | −0.379736 | ||||||||
\(321\) | 4.22281 | + | 11.6021i | 0.235694 | + | 0.647565i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.50980 | −0.0840075 | ||||||||
\(324\) | −1.91710 | + | 10.8724i | −0.106506 | + | 0.604023i | ||||
\(325\) | 5.36571 | + | 9.29369i | 0.297636 | + | 0.515521i | ||||
\(326\) | 2.28312 | 0.126450 | ||||||||
\(327\) | −0.688663 | − | 0.121430i | −0.0380831 | − | 0.00671509i | ||||
\(328\) | 4.84002 | + | 8.38316i | 0.267246 | + | 0.462883i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −3.34002 | − | 0.588936i | −0.183862 | − | 0.0324199i | ||||
\(331\) | −11.5248 | − | 19.9616i | −0.633461 | − | 1.09719i | −0.986839 | − | 0.161706i | \(-0.948300\pi\) |
0.353378 | − | 0.935481i | \(-0.385033\pi\) | |||||||
\(332\) | 9.23055 | + | 15.9878i | 0.506592 | + | 0.877444i | ||||
\(333\) | 26.0326 | + | 9.47508i | 1.42658 | + | 0.519231i | ||||
\(334\) | 10.1934 | − | 17.6555i | 0.557759 | − | 0.966066i | ||||
\(335\) | 0.401674 | − | 0.695720i | 0.0219458 | − | 0.0380112i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.5116 | − | 25.1348i | −0.790498 | − | 1.36918i | −0.925659 | − | 0.378359i | \(-0.876489\pi\) |
0.135161 | − | 0.990824i | \(-0.456845\pi\) | |||||||
\(338\) | 1.44738 | 0.0787269 | ||||||||
\(339\) | −24.5107 | − | 4.32190i | −1.33124 | − | 0.234734i | ||||
\(340\) | −0.773318 | −0.0419391 | ||||||||
\(341\) | 7.63088 | − | 13.2171i | 0.413235 | − | 0.715745i | ||||
\(342\) | 1.47818 | + | 8.38316i | 0.0799307 | + | 0.453310i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.25877 | − | 10.8405i | 0.337450 | − | 0.584481i | ||||
\(345\) | −13.4153 | + | 15.9878i | −0.722258 | + | 0.860753i | ||||
\(346\) | 2.08940 | − | 3.61895i | 0.112327 | − | 0.194556i | ||||
\(347\) | −6.47313 | + | 11.2118i | −0.347496 | + | 0.601880i | −0.985804 | − | 0.167901i | \(-0.946301\pi\) |
0.638308 | + | 0.769781i | \(0.279635\pi\) | |||||||
\(348\) | 13.1163 | + | 2.31276i | 0.703109 | + | 0.123977i | ||||
\(349\) | 0.731429 | − | 1.26687i | 0.0391525 | − | 0.0678141i | −0.845785 | − | 0.533524i | \(-0.820868\pi\) |
0.884938 | + | 0.465710i | \(0.154201\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.5089i | 0.934555i | ||||||||
\(352\) | 4.65910 | − | 8.06980i | 0.248331 | − | 0.430122i | ||||
\(353\) | −14.3327 | −0.762855 | −0.381428 | − | 0.924399i | \(-0.624567\pi\) | ||||
−0.381428 | + | 0.924399i | \(0.624567\pi\) | |||||||
\(354\) | −10.1792 | + | 12.1311i | −0.541017 | + | 0.644759i | ||||
\(355\) | 0.746911 | 0.0396419 | ||||||||
\(356\) | −5.57310 | − | 9.65289i | −0.295374 | − | 0.511602i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.75150 | + | 6.49778i | −0.198273 | + | 0.343418i | ||||
\(359\) | 10.4684 | − | 18.1318i | 0.552500 | − | 0.956958i | −0.445593 | − | 0.895235i | \(-0.647007\pi\) |
0.998093 | − | 0.0617224i | \(-0.0196594\pi\) | |||||||
\(360\) | 1.99154 | + | 11.2946i | 0.104964 | + | 0.595278i | ||||
\(361\) | 4.29426 | + | 7.43788i | 0.226014 | + | 0.391467i | ||||
\(362\) | 7.57785 | + | 13.1252i | 0.398283 | + | 0.689846i | ||||
\(363\) | −9.20574 | + | 10.9710i | −0.483176 | + | 0.575827i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.38073 | − | 2.39149i | −0.0722707 | − | 0.125176i | ||||
\(366\) | 3.97906 | + | 10.9324i | 0.207989 | + | 0.571444i | ||||
\(367\) | 12.0574 | 0.629390 | 0.314695 | − | 0.949193i | \(-0.398098\pi\) | ||||
0.314695 | + | 0.949193i | \(0.398098\pi\) | |||||||
\(368\) | 0.187319 | + | 0.324446i | 0.00976466 | + | 0.0169129i | ||||
\(369\) | 7.84002 | − | 6.57856i | 0.408135 | − | 0.342466i | ||||
\(370\) | 10.9409 | 0.568789 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −19.3221 | − | 3.40700i | −1.00180 | − | 0.176645i | ||||
\(373\) | −0.781059 | −0.0404417 | −0.0202209 | − | 0.999796i | \(-0.506437\pi\) | ||||
−0.0202209 | + | 0.999796i | \(0.506437\pi\) | |||||||
\(374\) | −0.340022 | + | 0.588936i | −0.0175821 | + | 0.0304532i | ||||
\(375\) | 12.2772 | − | 14.6314i | 0.633991 | − | 0.755561i | ||||
\(376\) | 13.2724 | + | 22.9885i | 0.684474 | + | 1.18554i | ||||
\(377\) | 21.1225 | 1.08786 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.92396 | −0.355660 | −0.177830 | − | 0.984061i | \(-0.556908\pi\) | ||||
−0.177830 | + | 0.984061i | \(0.556908\pi\) | |||||||
\(380\) | −2.66637 | − | 4.61830i | −0.136782 | − | 0.236914i | ||||
\(381\) | −23.1258 | + | 27.5603i | −1.18477 | + | 1.41196i | ||||
\(382\) | 5.67617 | − | 9.83142i | 0.290418 | − | 0.503019i | ||||
\(383\) | −7.73236 | −0.395105 | −0.197553 | − | 0.980292i | \(-0.563299\pi\) | ||||
−0.197553 | + | 0.980292i | \(0.563299\pi\) | |||||||
\(384\) | −11.6716 | − | 2.05802i | −0.595613 | − | 0.105023i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.561185 | 0.0285636 | ||||||||
\(387\) | −12.4363 | − | 4.52644i | −0.632172 | − | 0.230092i | ||||
\(388\) | 1.16473 | + | 2.01736i | 0.0591300 | + | 0.102416i | ||||
\(389\) | 5.39961 | 0.273771 | 0.136886 | − | 0.990587i | \(-0.456291\pi\) | ||||
0.136886 | + | 0.990587i | \(0.456291\pi\) | |||||||
\(390\) | 2.36500 | + | 6.49778i | 0.119756 | + | 0.329028i | ||||
\(391\) | 2.09240 | + | 3.62414i | 0.105817 | + | 0.183280i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.97730 | − | 9.50698i | 0.402402 | − | 0.479564i | ||||
\(394\) | 5.03256 | + | 8.71664i | 0.253536 | + | 0.439138i | ||||
\(395\) | −1.61927 | − | 2.80466i | −0.0814743 | − | 0.141118i | ||||
\(396\) | −5.71523 | − | 2.08017i | −0.287201 | − | 0.104533i | ||||
\(397\) | −14.6172 | + | 25.3178i | −0.733617 | + | 1.27066i | 0.221711 | + | 0.975112i | \(0.428836\pi\) |
−0.955328 | + | 0.295549i | \(0.904497\pi\) | |||||||
\(398\) | 1.59967 | − | 2.77071i | 0.0801842 | − | 0.138883i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0667040 | − | 0.115535i | −0.00333520 | − | 0.00577674i | ||||
\(401\) | −27.3979 | −1.36818 | −0.684092 | − | 0.729396i | \(-0.739801\pi\) | ||||
−0.684092 | + | 0.729396i | \(0.739801\pi\) | |||||||
\(402\) | −0.583778 | + | 0.695720i | −0.0291162 | + | 0.0346993i | ||||
\(403\) | −31.1162 | −1.55001 | ||||||||
\(404\) | 1.04829 | − | 1.81568i | 0.0521542 | − | 0.0903337i | ||||
\(405\) | 11.3944 | − | 4.14722i | 0.566192 | − | 0.206077i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.63088 | + | 13.2171i | −0.378249 | + | 0.655146i | ||||
\(408\) | 2.26470 | + | 0.399328i | 0.112119 | + | 0.0197697i | ||||
\(409\) | −4.51249 | + | 7.81586i | −0.223128 | + | 0.386469i | −0.955756 | − | 0.294160i | \(-0.904960\pi\) |
0.732628 | + | 0.680629i | \(0.238294\pi\) | |||||||
\(410\) | 2.02094 | − | 3.50038i | 0.0998073 | − | 0.172871i | ||||
\(411\) | 2.86009 | − | 3.40852i | 0.141078 | − | 0.168130i | ||||
\(412\) | 2.23143 | − | 3.86495i | 0.109935 | − | 0.190412i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 18.0744 | − | 15.1663i | 0.888310 | − | 0.745381i | ||||
\(415\) | 10.1382 | − | 17.5598i | 0.497662 | − | 0.861977i | ||||
\(416\) | −18.9982 | −0.931466 | ||||||||
\(417\) | −10.4620 | − | 1.84473i | −0.512325 | − | 0.0903368i | ||||
\(418\) | −4.68954 | −0.229373 | ||||||||
\(419\) | 0.0876485 | + | 0.151812i | 0.00428191 | + | 0.00741649i | 0.868158 | − | 0.496287i | \(-0.165304\pi\) |
−0.863877 | + | 0.503704i | \(0.831970\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.3525 | − | 21.3952i | 0.602025 | − | 1.04274i | −0.390490 | − | 0.920607i | \(-0.627694\pi\) |
0.992514 | − | 0.122130i | \(-0.0389724\pi\) | |||||||
\(422\) | 2.56031 | − | 4.43458i | 0.124634 | − | 0.215872i | ||||
\(423\) | 21.4991 | − | 18.0399i | 1.04532 | − | 0.877130i | ||||
\(424\) | 0.814330 | + | 1.41046i | 0.0395474 | + | 0.0684980i | ||||
\(425\) | −0.745100 | − | 1.29055i | −0.0361427 | − | 0.0626009i | ||||
\(426\) | −0.831566 | − | 0.146628i | −0.0402895 | − | 0.00710413i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.37211 | + | 7.57272i | 0.211334 | + | 0.366041i | ||||
\(429\) | −9.49912 | − | 1.67495i | −0.458622 | − | 0.0808674i | ||||
\(430\) | −5.22668 | −0.252053 | ||||||||
\(431\) | 14.6596 | + | 25.3911i | 0.706126 | + | 1.22305i | 0.966283 | + | 0.257481i | \(0.0828924\pi\) |
−0.260157 | + | 0.965566i | \(0.583774\pi\) | |||||||
\(432\) | − | 0.217662i | − | 0.0104723i | ||||||
\(433\) | −19.6554 | −0.944578 | −0.472289 | − | 0.881444i | \(-0.656572\pi\) | ||||
−0.472289 | + | 0.881444i | \(0.656572\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.00316 | − | 13.7461i | −0.239883 | − | 0.659073i | ||||
\(436\) | −0.495252 | −0.0237183 | ||||||||
\(437\) | −14.4290 | + | 24.9918i | −0.690233 | + | 1.19552i | ||||
\(438\) | 1.06774 | + | 2.93360i | 0.0510188 | + | 0.140173i | ||||
\(439\) | −10.9650 | − | 18.9919i | −0.523330 | − | 0.906434i | −0.999631 | − | 0.0271516i | \(-0.991356\pi\) |
0.476302 | − | 0.879282i | \(-0.341977\pi\) | |||||||
\(440\) | −6.31820 | −0.301208 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.38650 | 0.0659489 | ||||||||
\(443\) | 9.35504 | + | 16.2034i | 0.444471 | + | 0.769847i | 0.998015 | − | 0.0629732i | \(-0.0200583\pi\) |
−0.553544 | + | 0.832820i | \(0.686725\pi\) | |||||||
\(444\) | 19.3221 | + | 3.40700i | 0.916985 | + | 0.161689i | ||||
\(445\) | −6.12108 | + | 10.6020i | −0.290167 | + | 0.502584i | ||||
\(446\) | 6.22937 | 0.294969 | ||||||||
\(447\) | 0.479933 | − | 0.571962i | 0.0227000 | − | 0.0270529i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.68004 | 0.315251 | 0.157625 | − | 0.987499i | \(-0.449616\pi\) | ||||
0.157625 | + | 0.987499i | \(0.449616\pi\) | |||||||
\(450\) | −6.43629 | + | 5.40069i | −0.303410 | + | 0.254591i | ||||
\(451\) | 2.81908 | + | 4.88279i | 0.132745 | + | 0.229921i | ||||
\(452\) | −17.6269 | −0.829100 | ||||||||
\(453\) | −2.75062 | + | 3.27806i | −0.129235 | + | 0.154017i | ||||
\(454\) | 5.25150 | + | 9.09586i | 0.246465 | + | 0.426890i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 5.42380 | + | 14.9018i | 0.253993 | + | 0.697839i | ||||
\(457\) | 9.71436 | + | 16.8258i | 0.454418 | + | 0.787076i | 0.998655 | − | 0.0518563i | \(-0.0165138\pi\) |
−0.544236 | + | 0.838932i | \(0.683180\pi\) | |||||||
\(458\) | 7.71776 | + | 13.3676i | 0.360627 | + | 0.624625i | ||||
\(459\) | − | 2.43134i | − | 0.113485i | ||||||
\(460\) | −7.39053 | + | 12.8008i | −0.344585 | + | 0.596839i | ||||
\(461\) | −0.482926 | + | 0.836452i | −0.0224921 | + | 0.0389575i | −0.877052 | − | 0.480395i | \(-0.840493\pi\) |
0.854560 | + | 0.519352i | \(0.173827\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.222811 | + | 0.385920i | 0.0103549 | + | 0.0179352i | 0.871156 | − | 0.491006i | \(-0.163371\pi\) |
−0.860802 | + | 0.508941i | \(0.830037\pi\) | |||||||
\(464\) | −0.262585 | −0.0121902 | ||||||||
\(465\) | 7.37030 | + | 20.2497i | 0.341789 | + | 0.939059i | ||||
\(466\) | −14.2935 | −0.662136 | ||||||||
\(467\) | −17.1074 | + | 29.6309i | −0.791637 | + | 1.37115i | 0.133317 | + | 0.991074i | \(0.457437\pi\) |
−0.924953 | + | 0.380081i | \(0.875896\pi\) | |||||||
\(468\) | 2.15328 | + | 12.2118i | 0.0995352 | + | 0.564492i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 5.54189 | − | 9.59883i | 0.255628 | − | 0.442761i | ||||
\(471\) | −6.00299 | − | 16.4931i | −0.276603 | − | 0.759961i | ||||
\(472\) | −14.7506 | + | 25.5488i | −0.678952 | + | 1.17598i | ||||
\(473\) | 3.64543 | − | 6.31407i | 0.167617 | − | 0.290321i | ||||
\(474\) | 1.25221 | + | 3.44042i | 0.0575160 | + | 0.158024i | ||||
\(475\) | 5.13816 | − | 8.89955i | 0.235755 | − | 0.408339i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.31908 | − | 1.10684i | 0.0603964 | − | 0.0506786i | ||||
\(478\) | −6.63903 | + | 11.4991i | −0.303662 | + | 0.525959i | ||||
\(479\) | 21.7929 | 0.995744 | 0.497872 | − | 0.867251i | \(-0.334115\pi\) | ||||
0.497872 | + | 0.867251i | \(0.334115\pi\) | |||||||
\(480\) | 4.50000 | + | 12.3636i | 0.205396 | + | 0.564321i | ||||
\(481\) | 31.1162 | 1.41878 | ||||||||
\(482\) | 6.87598 | + | 11.9095i | 0.313192 | + | 0.542465i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.07145 | + | 8.78401i | −0.230521 | + | 0.399273i | ||||
\(485\) | 1.27925 | − | 2.21572i | 0.0580877 | − | 0.100611i | ||||
\(486\) | −13.5000 | + | 2.38041i | −0.612372 | + | 0.107978i | ||||
\(487\) | −9.69640 | − | 16.7947i | −0.439386 | − | 0.761039i | 0.558256 | − | 0.829669i | \(-0.311471\pi\) |
−0.997642 | + | 0.0686297i | \(0.978137\pi\) | |||||||
\(488\) | 10.8366 | + | 18.7696i | 0.490551 | + | 0.849659i | ||||
\(489\) | −1.53802 | − | 4.22567i | −0.0695516 | − | 0.191091i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.0783 | − | 22.6523i | −0.590216 | − | 1.02228i | −0.994203 | − | 0.107519i | \(-0.965709\pi\) |
0.403987 | − | 0.914765i | \(-0.367624\pi\) | |||||||
\(492\) | 4.65910 | − | 5.55250i | 0.210048 | − | 0.250326i | ||||
\(493\) | −2.93313 | −0.132102 | ||||||||
\(494\) | 4.78059 | + | 8.28023i | 0.215089 | + | 0.372545i | ||||
\(495\) | 1.15998 | + | 6.57856i | 0.0521371 | + | 0.295684i | ||||
\(496\) | 0.386821 | 0.0173688 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −14.7344 | + | 17.5598i | −0.660265 | + | 0.786873i | ||||
\(499\) | −14.3013 | −0.640214 | −0.320107 | − | 0.947381i | \(-0.603719\pi\) | ||||
−0.320107 | + | 0.947381i | \(0.603719\pi\) | |||||||
\(500\) | 6.76352 | − | 11.7148i | 0.302474 | − | 0.523900i | ||||
\(501\) | −39.5442 | − | 6.97270i | −1.76670 | − | 0.311517i | ||||
\(502\) | −8.38279 | − | 14.5194i | −0.374142 | − | 0.648033i | ||||
\(503\) | −18.7033 | −0.833937 | −0.416969 | − | 0.908921i | \(-0.636908\pi\) | ||||
−0.416969 | + | 0.908921i | \(0.636908\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.30272 | −0.102470 | ||||||||
\(506\) | 6.49912 | + | 11.2568i | 0.288921 | + | 0.500426i | ||||
\(507\) | −0.975023 | − | 2.67885i | −0.0433023 | − | 0.118972i | ||||
\(508\) | −12.7400 | + | 22.0664i | −0.565248 | + | 0.979039i | ||||
\(509\) | 25.6091 | 1.13510 | 0.567551 | − | 0.823338i | \(-0.307891\pi\) | ||||
0.567551 | + | 0.823338i | \(0.307891\pi\) | |||||||
\(510\) | −0.328411 | − | 0.902302i | −0.0145423 | − | 0.0399546i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 14.5201 | − | 8.38316i | 0.641077 | − | 0.370126i | ||||
\(514\) | −11.6878 | − | 20.2438i | −0.515526 | − | 0.892917i | ||||
\(515\) | −4.90167 | −0.215994 | ||||||||
\(516\) | −9.23055 | − | 1.62760i | −0.406352 | − | 0.0716509i | ||||
\(517\) | 7.73055 | + | 13.3897i | 0.339989 | + | 0.588879i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.10560 | − | 1.42924i | −0.355796 | − | 0.0627365i | ||||
\(520\) | 6.44087 | + | 11.1559i | 0.282451 | + | 0.489220i | ||||
\(521\) | −10.6061 | − | 18.3702i | −0.464660 | − | 0.804815i | 0.534526 | − | 0.845152i | \(-0.320490\pi\) |
−0.999186 | + | 0.0403370i | \(0.987157\pi\) | |||||||
\(522\) | 2.87170 | + | 16.2862i | 0.125691 | + | 0.712829i | ||||
\(523\) | 10.4029 | − | 18.0183i | 0.454885 | − | 0.787884i | −0.543796 | − | 0.839217i | \(-0.683014\pi\) |
0.998682 | + | 0.0513330i | \(0.0163470\pi\) | |||||||
\(524\) | 4.39470 | − | 7.61185i | 0.191984 | − | 0.332525i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.322786 | − | 0.559082i | −0.0140741 | − | 0.0243771i | ||||
\(527\) | 4.32089 | 0.188221 | ||||||||
\(528\) | 0.118089 | + | 0.0208222i | 0.00513914 | + | 0.000906170i | ||||
\(529\) | 56.9873 | 2.47771 | ||||||||
\(530\) | 0.340022 | − | 0.588936i | 0.0147696 | − | 0.0255817i | ||||
\(531\) | 29.3097 | + | 10.6679i | 1.27193 | + | 0.462946i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.74763 | − | 9.95518i | 0.248957 | − | 0.431207i | ||||
\(534\) | 8.89615 | − | 10.6020i | 0.384974 | − | 0.458794i | ||||
\(535\) | 4.80200 | − | 8.31731i | 0.207609 | − | 0.359589i | ||||
\(536\) | −0.845952 | + | 1.46523i | −0.0365396 | + | 0.0632884i | ||||
\(537\) | 14.5535 | + | 2.56617i | 0.628030 | + | 0.110739i | ||||
\(538\) | 9.16772 | − | 15.8790i | 0.395248 | − | 0.684590i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 7.43717 | − | 4.29385i | 0.320045 | − | 0.184778i | ||||
\(541\) | −13.3648 | + | 23.1486i | −0.574599 | + | 0.995235i | 0.421486 | + | 0.906835i | \(0.361509\pi\) |
−0.996085 | + | 0.0884001i | \(0.971825\pi\) | |||||||
\(542\) | 6.11886 | 0.262828 | ||||||||
\(543\) | 19.1878 | − | 22.8671i | 0.823427 | − | 0.981322i | ||||
\(544\) | 2.63816 | 0.113110 | ||||||||
\(545\) | 0.271974 | + | 0.471073i | 0.0116501 | + | 0.0201786i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.3812 | + | 31.8372i | −0.785923 | + | 1.36126i | 0.142523 | + | 0.989792i | \(0.454479\pi\) |
−0.928446 | + | 0.371467i | \(0.878855\pi\) | |||||||
\(548\) | 1.57563 | − | 2.72907i | 0.0673074 | − | 0.116580i | ||||
\(549\) | 17.5535 | − | 14.7291i | 0.749165 | − | 0.628624i | ||||
\(550\) | −2.31433 | − | 4.00854i | −0.0986834 | − | 0.170925i | ||||
\(551\) | −10.1133 | − | 17.5168i | −0.430843 | − | 0.746242i | ||||
\(552\) | 28.2536 | − | 33.6713i | 1.20255 | − | 1.43315i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.85844 | + | 13.6112i | 0.333873 | + | 0.578285i | ||||
\(555\) | −7.37030 | − | 20.2497i | −0.312852 | − | 0.859553i | ||||
\(556\) | −7.52374 | −0.319078 | ||||||||
\(557\) | −16.1694 | − | 28.0062i | −0.685118 | − | 1.18666i | −0.973400 | − | 0.229114i | \(-0.926417\pi\) |
0.288282 | − | 0.957546i | \(-0.406916\pi\) | |||||||
\(558\) | −4.23039 | − | 23.9917i | −0.179087 | − | 1.01565i | ||||
\(559\) | −14.8648 | −0.628716 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.31908 | + | 0.232589i | 0.0556915 | + | 0.00981992i | ||||
\(562\) | −19.6195 | −0.827598 | ||||||||
\(563\) | −8.87093 | + | 15.3649i | −0.373865 | + | 0.647553i | −0.990156 | − | 0.139965i | \(-0.955301\pi\) |
0.616291 | + | 0.787518i | \(0.288634\pi\) | |||||||
\(564\) | 12.7763 | − | 15.2262i | 0.537980 | − | 0.641139i | ||||
\(565\) | 9.68004 | + | 16.7663i | 0.407243 | + | 0.705365i | ||||
\(566\) | −16.3517 | −0.687315 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.57304 | −0.0660035 | ||||||||
\(569\) | 13.3007 | + | 23.0374i | 0.557593 | + | 0.965779i | 0.997697 | + | 0.0678320i | \(0.0216082\pi\) |
−0.440104 | + | 0.897947i | \(0.645058\pi\) | |||||||
\(570\) | 4.25624 | − | 5.07239i | 0.178274 | − | 0.212459i | ||||
\(571\) | 5.00862 | − | 8.67518i | 0.209604 | − | 0.363045i | −0.741986 | − | 0.670416i | \(-0.766116\pi\) |
0.951590 | + | 0.307371i | \(0.0994491\pi\) | |||||||
\(572\) | −6.83130 | −0.285631 | ||||||||
\(573\) | −22.0201 | − | 3.88273i | −0.919902 | − | 0.162203i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −28.4834 | −1.18784 | ||||||||
\(576\) | −2.62654 | − | 14.8959i | −0.109439 | − | 0.620661i | ||||
\(577\) | −16.4572 | − | 28.5048i | −0.685124 | − | 1.18667i | −0.973398 | − | 0.229121i | \(-0.926415\pi\) |
0.288274 | − | 0.957548i | \(-0.406918\pi\) | |||||||
\(578\) | 14.7570 | 0.613811 | ||||||||
\(579\) | −0.378041 | − | 1.03866i | −0.0157109 | − | 0.0431652i | ||||
\(580\) | −5.18004 | − | 8.97210i | −0.215090 | − | 0.372546i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.85921 | + | 2.21572i | −0.0770668 | + | 0.0918447i | ||||
\(583\) | 0.474308 | + | 0.821525i | 0.0196438 | + | 0.0340241i | ||||
\(584\) | 2.90791 | + | 5.03665i | 0.120330 | + | 0.208418i | ||||
\(585\) | 10.4331 | − | 8.75444i | 0.431357 | − | 0.361951i | ||||
\(586\) | −5.75624 | + | 9.97011i | −0.237788 | + | 0.411861i | ||||
\(587\) | −7.53643 | + | 13.0535i | −0.311062 | + | 0.538774i | −0.978592 | − | 0.205808i | \(-0.934018\pi\) |
0.667531 | + | 0.744582i | \(0.267351\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.8983 | + | 25.8046i | 0.613873 | + | 1.06326i | ||||
\(590\) | 12.3182 | 0.507132 | ||||||||
\(591\) | 12.7429 | − | 15.1864i | 0.524172 | − | 0.624684i | ||||
\(592\) | −0.386821 | −0.0158983 | ||||||||
\(593\) | 20.5005 | − | 35.5079i | 0.841853 | − | 1.45813i | −0.0464729 | − | 0.998920i | \(-0.514798\pi\) |
0.888326 | − | 0.459213i | \(-0.151869\pi\) | |||||||
\(594\) | − | 7.55190i | − | 0.309858i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.264396 | − | 0.457947i | 0.0108301 | − | 0.0187582i | ||||
\(597\) | −6.20574 | − | 1.09424i | −0.253984 | − | 0.0447842i | ||||
\(598\) | 13.2506 | − | 22.9507i | 0.541858 | − | 0.938526i | ||||
\(599\) | −3.03684 | + | 5.25996i | −0.124082 | + | 0.214916i | −0.921374 | − | 0.388678i | \(-0.872932\pi\) |
0.797292 | + | 0.603594i | \(0.206265\pi\) | |||||||
\(600\) | −10.0611 | + | 11.9903i | −0.410742 | + | 0.489503i | ||||
\(601\) | −7.06758 | + | 12.2414i | −0.288293 | + | 0.499338i | −0.973402 | − | 0.229102i | \(-0.926421\pi\) |
0.685110 | + | 0.728440i | \(0.259754\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.68092 | + | 0.611806i | 0.0684524 | + | 0.0249147i | ||||
\(604\) | −1.51532 | + | 2.62461i | −0.0616575 | + | 0.106794i | ||||
\(605\) | 11.1402 | 0.452914 | ||||||||
\(606\) | 2.56371 | + | 0.452051i | 0.104144 | + | 0.0183633i | ||||
\(607\) | −46.0898 | −1.87073 | −0.935363 | − | 0.353689i | \(-0.884927\pi\) | ||||
−0.935363 | + | 0.353689i | \(0.884927\pi\) | |||||||
\(608\) | 9.09627 | + | 15.7552i | 0.368902 | + | 0.638958i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.52481 | − | 7.83721i | 0.183204 | − | 0.317319i | ||||
\(611\) | 15.7613 | − | 27.2994i | 0.637634 | − | 1.10441i | ||||
\(612\) | −0.299011 | − | 1.69577i | −0.0120868 | − | 0.0685476i | ||||
\(613\) | 13.2469 | + | 22.9443i | 0.535038 | + | 0.926712i | 0.999162 | + | 0.0409421i | \(0.0130359\pi\) |
−0.464124 | + | 0.885770i | \(0.653631\pi\) | |||||||
\(614\) | −2.77466 | − | 4.80586i | −0.111976 | − | 0.193949i | ||||
\(615\) | −7.84002 | − | 1.38241i | −0.316140 | − | 0.0557440i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.12495 | + | 1.94847i | 0.0452889 | + | 0.0784426i | 0.887781 | − | 0.460266i | \(-0.152246\pi\) |
−0.842492 | + | 0.538708i | \(0.818913\pi\) | |||||||
\(618\) | 5.45723 | + | 0.962258i | 0.219522 | + | 0.0387077i | ||||
\(619\) | −6.19078 | −0.248828 | −0.124414 | − | 0.992230i | \(-0.539705\pi\) | ||||
−0.124414 | + | 0.992230i | \(0.539705\pi\) | |||||||
\(620\) | 7.63088 | + | 13.2171i | 0.306464 | + | 0.530811i | ||||
\(621\) | −40.2460 | − | 23.2361i | −1.61502 | − | 0.932431i | ||||
\(622\) | −8.37557 | −0.335830 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.0836160 | − | 0.229733i | −0.00334732 | − | 0.00919668i | ||||
\(625\) | 1.06687 | 0.0426746 | ||||||||
\(626\) | 7.75119 | − | 13.4255i | 0.309800 | − | 0.536589i | ||||
\(627\) | 3.15910 | + | 8.67956i | 0.126162 | + | 0.346628i | ||||
\(628\) | −6.21523 | − | 10.7651i | −0.248015 | − | 0.429574i | ||||
\(629\) | −4.32089 | −0.172285 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.1661 | 1.04166 | 0.520829 | − | 0.853661i | \(-0.325623\pi\) | ||||
0.520829 | + | 0.853661i | \(0.325623\pi\) | |||||||
\(632\) | 3.41029 | + | 5.90680i | 0.135654 | + | 0.234960i | ||||
\(633\) | −9.93242 | − | 1.75135i | −0.394778 | − | 0.0696100i | ||||
\(634\) | 3.55138 | − | 6.15118i | 0.141043 | − | 0.244295i | ||||
\(635\) | 27.9855 | 1.11057 | ||||||||
\(636\) | 0.783890 | − | 0.934204i | 0.0310833 | − | 0.0370436i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −9.11051 | −0.360689 | ||||||||
\(639\) | 0.288800 | + | 1.63787i | 0.0114248 | + | 0.0647930i | ||||
\(640\) | 4.60947 | + | 7.98384i | 0.182205 | + | 0.315589i | ||||
\(641\) | 4.88888 | 0.193099 | 0.0965496 | − | 0.995328i | \(-0.469219\pi\) | ||||
0.0965496 | + | 0.995328i | \(0.469219\pi\) | |||||||
\(642\) | −6.97906 | + | 8.31731i | −0.275441 | + | 0.328258i | ||||
\(643\) | −20.1839 | − | 34.9596i | −0.795976 | − | 1.37867i | −0.922218 | − | 0.386671i | \(-0.873625\pi\) |
0.126242 | − | 0.992000i | \(-0.459709\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.52094 | + | 9.67372i | 0.138637 | + | 0.380902i | ||||
\(646\) | −0.663848 | − | 1.14982i | −0.0261188 | − | 0.0452390i | ||||
\(647\) | −1.14038 | − | 1.97519i | −0.0448329 | − | 0.0776528i | 0.842738 | − | 0.538324i | \(-0.180942\pi\) |
−0.887571 | + | 0.460671i | \(0.847609\pi\) | |||||||
\(648\) | −23.9974 | + | 8.73433i | −0.942706 | + | 0.343117i | ||||
\(649\) | −8.59152 | + | 14.8809i | −0.337247 | + | 0.584128i | ||||
\(650\) | −4.71853 | + | 8.17273i | −0.185076 | + | 0.320561i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.59240 | − | 2.75811i | −0.0623631 | − | 0.108016i | ||||
\(653\) | 23.4793 | 0.918815 | 0.459407 | − | 0.888226i | \(-0.348062\pi\) | ||||
0.459407 | + | 0.888226i | \(0.348062\pi\) | |||||||
\(654\) | −0.210323 | − | 0.577857i | −0.00822427 | − | 0.0225960i | ||||
\(655\) | −9.65364 | −0.377199 | ||||||||
\(656\) | −0.0714517 | + | 0.123758i | −0.00278972 | + | 0.00483194i | ||||
\(657\) | 4.71032 | − | 3.95243i | 0.183767 | − | 0.154199i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 23.9812 | − | 41.5366i | 0.934174 | − | 1.61804i | 0.158073 | − | 0.987427i | \(-0.449472\pi\) |
0.776101 | − | 0.630609i | \(-0.217195\pi\) | |||||||
\(660\) | 1.61809 | + | 4.44566i | 0.0629840 | + | 0.173047i | ||||
\(661\) | 14.6545 | − | 25.3824i | 0.569995 | − | 0.987260i | −0.426571 | − | 0.904454i | \(-0.640279\pi\) |
0.996566 | − | 0.0828055i | \(-0.0263880\pi\) | |||||||
\(662\) | 10.1348 | − | 17.5539i | 0.393898 | − | 0.682252i | ||||
\(663\) | −0.934011 | − | 2.56617i | −0.0362740 | − | 0.0996620i | ||||
\(664\) | −21.3516 | + | 36.9821i | −0.828604 | + | 1.43518i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.23039 | + | 23.9917i | 0.163924 | + | 0.929661i | ||||
\(667\) | −28.0317 | + | 48.5523i | −1.08539 | + | 1.87995i | ||||
\(668\) | −28.4382 | −1.10031 | ||||||||
\(669\) | −4.19640 | − | 11.5295i | −0.162242 | − | 0.445757i | ||||
\(670\) | 0.706452 | 0.0272926 | ||||||||
\(671\) | 6.31180 | + | 10.9324i | 0.243664 | + | 0.422039i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.1591 | + | 22.7922i | −0.507246 | + | 0.878576i | 0.492719 | + | 0.870189i | \(0.336003\pi\) |
−0.999965 | + | 0.00838731i | \(0.997330\pi\) | |||||||
\(674\) | 12.7613 | − | 22.1032i | 0.491547 | − | 0.851384i | ||||
\(675\) | 14.3316 | + | 8.27433i | 0.551622 | + | 0.318479i | ||||
\(676\) | −1.00950 | − | 1.74850i | −0.0388267 | − | 0.0672499i | ||||
\(677\) | 17.9454 | + | 31.0823i | 0.689697 | + | 1.19459i | 0.971936 | + | 0.235246i | \(0.0755895\pi\) |
−0.282239 | + | 0.959344i | \(0.591077\pi\) | |||||||
\(678\) | −7.48576 | − | 20.5669i | −0.287489 | − | 0.789869i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.894400 | − | 1.54915i | −0.0342987 | − | 0.0594070i | ||||
\(681\) | 13.2973 | − | 15.8471i | 0.509552 | − | 0.607260i | ||||
\(682\) | 13.4210 | 0.513915 | ||||||||
\(683\) | −17.5321 | − | 30.3665i | −0.670847 | − | 1.16194i | −0.977664 | − | 0.210172i | \(-0.932597\pi\) |
0.306818 | − | 0.951768i | \(-0.400736\pi\) | |||||||
\(684\) | 9.09627 | − | 7.63267i | 0.347804 | − | 0.291843i | ||||
\(685\) | −3.46110 | −0.132242 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 19.5421 | − | 23.2893i | 0.745576 | − | 0.888543i | ||||
\(688\) | 0.184793 | 0.00704515 | ||||||||
\(689\) | 0.967034 | − | 1.67495i | 0.0368411 | − | 0.0638106i | ||||
\(690\) | −18.0744 | − | 3.18701i | −0.688082 | − | 0.121327i | ||||
\(691\) | 1.03343 | + | 1.78996i | 0.0393136 | + | 0.0680932i | 0.885013 | − | 0.465567i | \(-0.154150\pi\) |
−0.845699 | + | 0.533660i | \(0.820816\pi\) | |||||||
\(692\) | −5.82915 | −0.221591 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.3847 | −0.432159 | ||||||||
\(695\) | 4.13176 | + | 7.15642i | 0.156727 | + | 0.271458i | ||||
\(696\) | 10.5370 | + | 28.9501i | 0.399403 | + | 1.09735i | ||||
\(697\) | −0.798133 | + | 1.38241i | −0.0302315 | + | 0.0523624i | ||||
\(698\) | 1.28642 | 0.0486916 | ||||||||
\(699\) | 9.62882 | + | 26.4550i | 0.364196 | + | 1.00062i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.36009 | −0.277987 | −0.138993 | − | 0.990293i | \(-0.544387\pi\) | ||||
−0.138993 | + | 0.990293i | \(0.544387\pi\) | |||||||
\(702\) | −13.3342 | + | 7.69852i | −0.503268 | + | 0.290562i | ||||
\(703\) | −14.8983 | − | 25.8046i | −0.561899 | − | 0.973237i | ||||
\(704\) | 8.33275 | 0.314052 | ||||||||
\(705\) | −21.4991 | − | 3.79088i | −0.809704 | − | 0.142773i | ||||
\(706\) | −6.30200 | − | 10.9154i | −0.237179 | − | 0.410806i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 21.7545 | + | 3.83590i | 0.817584 | + | 0.144162i | ||||
\(709\) | −4.55438 | − | 7.88841i | −0.171043 | − | 0.296256i | 0.767742 | − | 0.640760i | \(-0.221380\pi\) |
−0.938785 | + | 0.344504i | \(0.888047\pi\) | |||||||
\(710\) | 0.328411 | + | 0.568825i | 0.0123251 | + | 0.0213476i | ||||
\(711\) | 5.52410 | − | 4.63527i | 0.207170 | − | 0.173836i | ||||
\(712\) | 12.8914 | − | 22.3286i | 0.483126 | − | 0.836799i | ||||
\(713\) | 41.2943 | − | 71.5239i | 1.54648 | − | 2.67859i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.75150 | + | 6.49778i | 0.140298 | + | 0.243003i | ||||
\(716\) | 10.4662 | 0.391139 | ||||||||
\(717\) | 25.7554 | + | 4.54137i | 0.961852 | + | 0.169600i | ||||
\(718\) | 18.4115 | 0.687110 | ||||||||
\(719\) | −12.9768 | + | 22.4765i | −0.483954 | + | 0.838233i | −0.999830 | − | 0.0184300i | \(-0.994133\pi\) |
0.515876 | + | 0.856663i | \(0.327467\pi\) | |||||||
\(720\) | −0.129700 | + | 0.108831i | −0.00483362 | + | 0.00405589i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.77631 | + | 6.54076i | −0.140540 | + | 0.243422i | ||||
\(723\) | 17.4106 | − | 20.7491i | 0.647507 | − | 0.771669i | ||||
\(724\) | 10.5706 | − | 18.3088i | 0.392852 | − | 0.680440i | ||||
\(725\) | 9.98205 | − | 17.2894i | 0.370724 | − | 0.642113i | ||||
\(726\) | −12.4029 | − | 2.18696i | −0.460313 | − | 0.0811656i | ||||
\(727\) | −5.08007 | + | 8.79894i | −0.188409 | + | 0.326335i | −0.944720 | − | 0.327878i | \(-0.893667\pi\) |
0.756311 | + | 0.654213i | \(0.227000\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | 1.21419 | − | 2.10304i | 0.0449393 | − | 0.0778372i | ||||
\(731\) | 2.06418 | 0.0763464 | ||||||||
\(732\) | 10.4315 | − | 12.4318i | 0.385561 | − | 0.459494i | ||||
\(733\) | −40.6614 | −1.50186 | −0.750931 | − | 0.660381i | \(-0.770395\pi\) | ||||
−0.750931 | + | 0.660381i | \(0.770395\pi\) | |||||||
\(734\) | 5.30154 | + | 9.18253i | 0.195683 | + | 0.338933i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 25.2126 | − | 43.6695i | 0.929349 | − | 1.60968i | ||||
\(737\) | −0.492726 | + | 0.853427i | −0.0181498 | + | 0.0314364i | ||||
\(738\) | 8.45723 | + | 3.07818i | 0.311315 | + | 0.113309i | ||||
\(739\) | 12.6809 | + | 21.9640i | 0.466475 | + | 0.807959i | 0.999267 | − | 0.0382877i | \(-0.0121903\pi\) |
−0.532791 | + | 0.846247i | \(0.678857\pi\) | |||||||
\(740\) | −7.63088 | − | 13.2171i | −0.280517 | − | 0.485869i | ||||
\(741\) | 12.1049 | − | 14.4260i | 0.444684 | − | 0.529954i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.2221 | + | 19.4372i | 0.411699 | + | 0.713083i | 0.995076 | − | 0.0991184i | \(-0.0316023\pi\) |
−0.583377 | + | 0.812202i | \(0.698269\pi\) | |||||||
\(744\) | −15.5223 | − | 42.6473i | −0.569077 | − | 1.56353i | ||||
\(745\) | −0.580785 | −0.0212783 | ||||||||
\(746\) | −0.343426 | − | 0.594831i | −0.0125737 | − | 0.0217783i | ||||
\(747\) | 42.4261 | + | 15.4418i | 1.55229 | + | 0.564987i | ||||
\(748\) | 0.948615 | 0.0346848 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 16.5410 | + | 2.91663i | 0.603992 | + | 0.106500i | ||||
\(751\) | 24.2172 | 0.883698 | 0.441849 | − | 0.897090i | \(-0.354323\pi\) | ||||
0.441849 | + | 0.897090i | \(0.354323\pi\) | |||||||
\(752\) | −0.195937 | + | 0.339373i | −0.00714508 | + | 0.0123756i | ||||
\(753\) | −21.2260 | + | 25.2961i | −0.773517 | + | 0.921842i | ||||
\(754\) | 9.28740 | + | 16.0862i | 0.338227 | + | 0.585827i | ||||
\(755\) | 3.32863 | 0.121141 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.11793 | 0.331397 | 0.165698 | − | 0.986176i | \(-0.447012\pi\) | ||||
0.165698 | + | 0.986176i | \(0.447012\pi\) | |||||||
\(758\) | −3.04442 | − | 5.27308i | −0.110578 | − | 0.191527i | ||||
\(759\) | 16.4564 | − | 19.6119i | 0.597328 | − | 0.711868i | ||||
\(760\) | 6.16772 | − | 10.6828i | 0.223727 | − | 0.387506i | ||||
\(761\) | 18.2722 | 0.662366 | 0.331183 | − | 0.943566i | \(-0.392552\pi\) | ||||
0.331183 | + | 0.943566i | \(0.392552\pi\) | |||||||
\(762\) | −31.1573 | − | 5.49388i | −1.12871 | − | 0.199022i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.8357 | −0.572917 | ||||||||
\(765\) | −1.44878 | + | 1.21567i | −0.0523807 | + | 0.0439526i | ||||
\(766\) | −3.39986 | − | 5.88874i | −0.122842 | − | 0.212769i | ||||
\(767\) | 35.0333 | 1.26498 | ||||||||
\(768\) | −9.53818 | − | 26.2059i | −0.344179 | − | 0.945625i | ||||
\(769\) | 9.26470 | + | 16.0469i | 0.334094 | + | 0.578667i | 0.983310 | − | 0.181936i | \(-0.0582365\pi\) |
−0.649217 | + | 0.760604i | \(0.724903\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −29.5945 | + | 35.2694i | −1.06582 | + | 1.27020i | ||||
\(772\) | −0.391407 | − | 0.677937i | −0.0140870 | − | 0.0243995i | ||||
\(773\) | −1.48040 | − | 2.56413i | −0.0532463 | − | 0.0922253i | 0.838174 | − | 0.545403i | \(-0.183624\pi\) |
−0.891420 | + | 0.453178i | \(0.850290\pi\) | |||||||
\(774\) | −2.02094 | − | 11.4613i | −0.0726414 | − | 0.411970i | ||||
\(775\) | −14.7049 | + | 25.4696i | −0.528214 | + | 0.914894i | ||||
\(776\) | −2.69418 | + | 4.66646i | −0.0967155 | + | 0.167516i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.37417 | + | 4.11218i | 0.0851181 | + | 0.147429i | ||||
\(779\) | −11.0077 | −0.394393 | ||||||||
\(780\) | 6.20011 | − | 7.38901i | 0.222000 | − | 0.264569i | ||||
\(781\) | −0.916222 | −0.0327850 | ||||||||
\(782\) | −1.84002 | + | 3.18701i | −0.0657991 | + | 0.113967i | ||||
\(783\) | 28.2086 | − | 16.2862i | 1.00809 | − | 0.582022i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.82635 | + | 11.8236i | −0.243643 | + | 0.422002i | ||||
\(786\) | 10.7478 | + | 1.89513i | 0.383361 | + | 0.0675969i | ||||
\(787\) | −16.7010 | + | 28.9270i | −0.595326 | + | 1.03113i | 0.398175 | + | 0.917310i | \(0.369644\pi\) |
−0.993501 | + | 0.113825i | \(0.963690\pi\) | |||||||
\(788\) | 7.02007 | − | 12.1591i | 0.250080 | − | 0.433150i | ||||
\(789\) | −0.817323 | + | 0.974048i | −0.0290975 | + | 0.0346770i | ||||
\(790\) | 1.42396 | − | 2.46638i | 0.0506623 | − | 0.0877497i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −2.44299 | − | 13.8549i | −0.0868079 | − | 0.492312i | ||||
\(793\) | 12.8687 | − | 22.2893i | 0.456981 | − | 0.791515i | ||||
\(794\) | −25.7083 | −0.912354 | ||||||||
\(795\) | −1.31908 | − | 0.232589i | −0.0467829 | − | 0.00824908i | ||||
\(796\) | −4.46286 | −0.158182 | ||||||||
\(797\) | 24.6755 | + | 42.7391i | 0.874050 | + | 1.51390i | 0.857772 | + | 0.514031i | \(0.171848\pi\) |
0.0162779 | + | 0.999868i | \(0.494818\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.18866 | + | 3.79088i | −0.0774293 | + | 0.134112i | ||||
\(800\) | −8.97818 | + | 15.5507i | −0.317427 | + | 0.549799i | ||||
\(801\) | −25.6155 | − | 9.32326i | −0.905078 | − | 0.329421i | ||||
\(802\) | −12.0466 | − | 20.8654i | −0.425382 | − | 0.736782i | ||||
\(803\) | 1.69372 | + | 2.93360i | 0.0597699 | + | 0.103525i | ||||
\(804\) | 1.24763 | + | 0.219990i | 0.0440004 | + | 0.00775845i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.6816 | − | 23.6971i | −0.481912 | − | 0.834696i | ||||
\(807\) | −35.5651 | − | 6.27109i | −1.25195 | − | 0.220753i | ||||
\(808\) | 4.84968 | 0.170611 | ||||||||
\(809\) | −9.91400 | − | 17.1716i | −0.348558 | − | 0.603720i | 0.637436 | − | 0.770503i | \(-0.279995\pi\) |
−0.985993 | + | 0.166784i | \(0.946662\pi\) | |||||||
\(810\) | 8.16843 | + | 6.85413i | 0.287010 | + | 0.240830i | ||||
\(811\) | 23.8557 | 0.837686 | 0.418843 | − | 0.908059i | \(-0.362436\pi\) | ||||
0.418843 | + | 0.908059i | \(0.362436\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.12196 | − | 11.3250i | −0.144563 | − | 0.397185i | ||||
\(814\) | −13.4210 | −0.470405 | ||||||||
\(815\) | −1.74897 | + | 3.02931i | −0.0612638 | + | 0.106112i | ||||
\(816\) | 0.0116112 | + | 0.0319015i | 0.000406473 | + | 0.00111677i | ||||
\(817\) | 7.11721 | + | 12.3274i | 0.249000 | + | 0.431280i | ||||
\(818\) | −7.93643 | −0.277491 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.63816 | −0.196893 | ||||||||
\(821\) | 25.4714 | + | 44.1177i | 0.888957 | + | 1.53972i | 0.841110 | + | 0.540864i | \(0.181903\pi\) |
0.0478469 | + | 0.998855i | \(0.484764\pi\) | |||||||
\(822\) | 3.85339 | + | 0.679456i | 0.134402 | + | 0.0236988i | ||||
\(823\) | −6.80747 | + | 11.7909i | −0.237293 | + | 0.411004i | −0.959937 | − | 0.280217i | \(-0.909594\pi\) |
0.722643 | + | 0.691221i | \(0.242927\pi\) | |||||||
\(824\) | 10.3233 | 0.359628 | ||||||||
\(825\) | −5.86009 | + | 6.98378i | −0.204022 | + | 0.243144i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.2158 | 1.25935 | 0.629673 | − | 0.776861i | \(-0.283189\pi\) | ||||
0.629673 | + | 0.776861i | \(0.283189\pi\) | |||||||
\(828\) | −30.9278 | − | 11.2568i | −1.07482 | − | 0.391201i | ||||
\(829\) | 12.6630 | + | 21.9329i | 0.439803 | + | 0.761761i | 0.997674 | − | 0.0681664i | \(-0.0217149\pi\) |
−0.557871 | + | 0.829928i | \(0.688382\pi\) | |||||||
\(830\) | 17.8307 | 0.618912 | ||||||||
\(831\) | 19.8983 | − | 23.7138i | 0.690263 | − | 0.822624i | ||||
\(832\) | −8.49454 | − | 14.7130i | −0.294495 | − | 0.510080i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.19517 | − | 8.77864i | −0.110640 | − | 0.303980i | ||||
\(835\) | 15.6172 | + | 27.0498i | 0.540456 | + | 0.936097i | ||||
\(836\) | 3.27079 | + | 5.66518i | 0.113123 | + | 0.195934i | ||||
\(837\) | −41.5549 | + | 23.9917i | −1.43635 | + | 0.829276i | ||||
\(838\) | −0.0770768 | + | 0.133501i | −0.00266257 | + | 0.00461171i | ||||
\(839\) | 4.35710 | − | 7.54671i | 0.150424 | − | 0.260541i | −0.780960 | − | 0.624582i | \(-0.785270\pi\) |
0.931383 | + | 0.364040i | \(0.118603\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.14749 | − | 8.91571i | −0.177500 | − | 0.307438i | ||||
\(842\) | 21.7252 | 0.748701 | ||||||||
\(843\) | 13.2166 | + | 36.3124i | 0.455205 | + | 1.25067i | ||||
\(844\) | −7.14290 | −0.245869 | ||||||||
\(845\) | −1.10876 | + | 1.92042i | −0.0381423 | + | 0.0660645i | ||||
\(846\) | 23.1917 | + | 8.44107i | 0.797346 | + | 0.290210i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.0120217 | + | 0.0208222i | −0.000412827 | + | 0.000715037i | ||||
\(849\) | 11.0153 | + | 30.2643i | 0.378045 | + | 1.03867i | ||||
\(850\) | 0.655230 | − | 1.13489i | 0.0224742 | − | 0.0389265i | ||||
\(851\) | −41.2943 | + | 71.5239i | −1.41555 | + | 2.45181i | ||||
\(852\) | 0.402856 | + | 1.10684i | 0.0138016 | + | 0.0379196i | ||||
\(853\) | −5.99067 | + | 10.3761i | −0.205117 | + | 0.355272i | −0.950170 | − | 0.311733i | \(-0.899091\pi\) |
0.745053 | + | 0.667005i | \(0.232424\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −12.2554 | − | 4.46059i | −0.419125 | − | 0.152549i | ||||
\(856\) | −10.1133 | + | 17.5168i | −0.345667 | + | 0.598713i | ||||
\(857\) | −6.50030 | −0.222046 | −0.111023 | − | 0.993818i | \(-0.535413\pi\) | ||||
−0.111023 | + | 0.993818i | \(0.535413\pi\) | |||||||
\(858\) | −2.90110 | − | 7.97071i | −0.0990420 | − | 0.272116i | ||||
\(859\) | 53.5526 | 1.82719 | 0.913596 | − | 0.406623i | \(-0.133294\pi\) | ||||
0.913596 | + | 0.406623i | \(0.133294\pi\) | |||||||
\(860\) | 3.64543 | + | 6.31407i | 0.124308 | + | 0.215308i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.8914 | + | 22.3286i | −0.439083 | + | 0.760514i | ||||
\(863\) | −1.84982 | + | 3.20399i | −0.0629687 | + | 0.109065i | −0.895791 | − | 0.444475i | \(-0.853390\pi\) |
0.832822 | + | 0.553540i | \(0.186723\pi\) | |||||||
\(864\) | −25.3717 | + | 14.6484i | −0.863163 | + | 0.498347i | ||||
\(865\) | 3.20115 | + | 5.54456i | 0.108842 | + | 0.188521i | ||||
\(866\) | −8.64233 | − | 14.9690i | −0.293678 | − | 0.508666i | ||||
\(867\) | −9.94104 | − | 27.3128i | −0.337615 | − | 0.927590i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.98633 | + | 3.44042i | 0.0673816 | + | 0.116708i | ||||
\(870\) | 8.26873 | − | 9.85429i | 0.280336 | − | 0.334092i | ||||
\(871\) | 2.00917 | 0.0680782 | ||||||||
\(872\) | −0.572796 | − | 0.992112i | −0.0193973 | − | 0.0335971i | ||||
\(873\) | 5.35339 | + | 1.94847i | 0.181185 | + | 0.0659459i | ||||
\(874\) | −25.3773 | −0.858401 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.79921 | − | 3.33597i | 0.0945765 | − | 0.112712i | ||||
\(877\) | −11.7888 | −0.398079 | −0.199040 | − | 0.979991i | \(-0.563782\pi\) | ||||
−0.199040 | + | 0.979991i | \(0.563782\pi\) | |||||||
\(878\) | 9.64244 | − | 16.7012i | 0.325416 | − | 0.563638i | ||||
\(879\) | 22.3307 | + | 3.93750i | 0.753195 | + | 0.132809i | ||||
\(880\) | −0.0466368 | − | 0.0807773i | −0.00157213 | − | 0.00272300i | ||||
\(881\) | −49.4858 | −1.66722 | −0.833609 | − | 0.552355i | \(-0.813729\pi\) | ||||
−0.833609 | + | 0.552355i | \(0.813729\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.5357 | −0.724734 | −0.362367 | − | 0.932035i | \(-0.618031\pi\) | ||||
−0.362367 | + | 0.932035i | \(0.618031\pi\) | |||||||
\(884\) | −0.967034 | − | 1.67495i | −0.0325249 | − | 0.0563347i | ||||
\(885\) | −8.29813 | − | 22.7989i | −0.278939 | − | 0.766378i | ||||
\(886\) | −8.22668 | + | 14.2490i | −0.276381 | + | 0.478706i | ||||
\(887\) | −11.8848 | −0.399051 | −0.199526 | − | 0.979893i | \(-0.563940\pi\) | ||||
−0.199526 | + | 0.979893i | \(0.563940\pi\) | |||||||
\(888\) | 15.5223 | + | 42.6473i | 0.520896 | + | 1.43115i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.7656 | −0.360863 | ||||||||
\(891\) | −13.9773 | + | 5.08732i | −0.468257 | + | 0.170432i | ||||
\(892\) | −4.34477 | − | 7.52536i | −0.145474 | − | 0.251968i | ||||
\(893\) | −30.1857 | −1.01013 | ||||||||
\(894\) | 0.646612 | + | 0.114015i | 0.0216259 | + | 0.00381324i | ||||
\(895\) | −5.74763 | − | 9.95518i | −0.192122 | − | 0.332765i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −51.4043 | − | 9.06396i | −1.71634 | − | 0.302637i | ||||
\(898\) | 2.93717 | + | 5.08732i | 0.0980145 | + | 0.169766i | ||||
\(899\) | 28.9433 | + | 50.1313i | 0.965314 | + | 1.67197i | ||||
\(900\) | 11.0134 | + | 4.00854i | 0.367112 | + | 0.133618i | ||||
\(901\) | −0.134285 | + | 0.232589i | −0.00447369 | + | 0.00774866i | ||||
\(902\) | −2.47906 | + | 4.29385i | −0.0825435 | + | 0.142970i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.3868 | − | 35.3110i | −0.678056 | − | 1.17443i | ||||
\(905\) | −23.2199 | −0.771855 | ||||||||
\(906\) | −3.70590 | − | 0.653450i | −0.123120 | − | 0.0217094i | ||||
\(907\) | −26.0215 | −0.864029 | −0.432014 | − | 0.901867i | \(-0.642197\pi\) | ||||
−0.432014 | + | 0.901867i | \(0.642197\pi\) | |||||||
\(908\) | 7.32547 | − | 12.6881i | 0.243104 | − | 0.421069i | ||||
\(909\) | −0.890367 | − | 5.04952i | −0.0295316 | − | 0.167482i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.01636 | − | 3.49244i | 0.0668050 | − | 0.115710i | −0.830688 | − | 0.556738i | \(-0.812053\pi\) |
0.897493 | + | 0.441028i | \(0.145386\pi\) | |||||||
\(912\) | −0.150482 | + | 0.179338i | −0.00498296 | + | 0.00593846i | ||||
\(913\) | −12.4363 | + | 21.5403i | −0.411581 | + | 0.712879i | ||||
\(914\) | −8.54266 | + | 14.7963i | −0.282566 | + | 0.489419i | ||||
\(915\) | −17.5535 | − | 3.09516i | −0.580301 | − | 0.102323i | ||||
\(916\) | 10.7657 | − | 18.6468i | 0.355710 | − | 0.616108i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 1.85163 | − | 1.06904i | 0.0611130 | − | 0.0352836i | ||||
\(919\) | −13.7135 | + | 23.7524i | −0.452366 | + | 0.783521i | −0.998532 | − | 0.0541559i | \(-0.982753\pi\) |
0.546167 | + | 0.837677i | \(0.316087\pi\) | |||||||
\(920\) | −34.1908 | −1.12724 | ||||||||
\(921\) | −7.02569 | + | 8.37289i | −0.231504 | + | 0.275896i | ||||
\(922\) | −0.849356 | −0.0279720 | ||||||||
\(923\) | 0.934011 | + | 1.61775i | 0.0307434 | + | 0.0532491i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.7049 | − | 25.4696i | 0.483493 | − | 0.837434i | ||||
\(926\) | −0.195937 | + | 0.339373i | −0.00643889 | + | 0.0111525i | ||||
\(927\) | −1.89528 | − | 10.7487i | −0.0622491 | − | 0.353032i | ||||
\(928\) | 17.6716 | + | 30.6081i | 0.580098 | + | 1.00476i | ||||
\(929\) | 3.83837 | + | 6.64826i | 0.125933 | + | 0.218122i | 0.922097 | − | 0.386958i | \(-0.126474\pi\) |
−0.796164 | + | 0.605081i | \(0.793141\pi\) | |||||||
\(930\) | −12.1809 | + | 14.5167i | −0.399428 | + | 0.476020i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 9.96926 | + | 17.2673i | 0.326554 | + | 0.565608i | ||||
\(933\) | 5.64219 | + | 15.5018i | 0.184717 | + | 0.507506i | ||||
\(934\) | −30.0880 | −0.984510 | ||||||||
\(935\) | −0.520945 | − | 0.902302i | −0.0170367 | − | 0.0295084i | ||||
\(936\) | −21.9729 | + | 18.4374i | −0.718206 | + | 0.602646i | ||||
\(937\) | 2.02465 | 0.0661425 | 0.0330713 | − | 0.999453i | \(-0.489471\pi\) | ||||
0.0330713 | + | 0.999453i | \(0.489471\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −30.0699 | − | 5.30213i | −0.981293 | − | 0.173028i | ||||
\(940\) | −15.4611 | −0.504286 | ||||||||
\(941\) | −3.06964 | + | 5.31677i | −0.100067 | + | 0.173322i | −0.911712 | − | 0.410829i | \(-0.865239\pi\) |
0.811645 | + | 0.584151i | \(0.198573\pi\) | |||||||
\(942\) | 9.92117 | − | 11.8236i | 0.323249 | − | 0.385233i | ||||
\(943\) | 15.2554 | + | 26.4231i | 0.496783 | + | 0.860454i | ||||
\(944\) | −0.435518 | −0.0141749 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.41147 | 0.208455 | ||||||||
\(947\) | −2.78224 | − | 4.81898i | −0.0904107 | − | 0.156596i | 0.817273 | − | 0.576250i | \(-0.195485\pi\) |
−0.907684 | + | 0.419654i | \(0.862151\pi\) | |||||||
\(948\) | 3.28281 | − | 3.91231i | 0.106621 | − | 0.127066i | ||||
\(949\) | 3.45320 | − | 5.98112i | 0.112096 | − | 0.194155i | ||||
\(950\) | 9.03684 | 0.293194 | ||||||||
\(951\) | −13.7772 | − | 2.42929i | −0.446756 | − | 0.0787751i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.72018 | −0.282474 | −0.141237 | − | 0.989976i | \(-0.545108\pi\) | ||||
−0.141237 | + | 0.989976i | \(0.545108\pi\) | |||||||
\(954\) | 1.42292 | + | 0.517902i | 0.0460688 | + | 0.0167677i | ||||
\(955\) | 8.69640 | + | 15.0626i | 0.281409 | + | 0.487415i | ||||
\(956\) | 18.5220 | 0.599044 | ||||||||
\(957\) | 6.13728 | + | 16.8620i | 0.198390 | + | 0.545072i | ||||
\(958\) | 9.58219 | + | 16.5968i | 0.309586 | + | 0.536219i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −7.56283 | + | 9.01303i | −0.244089 | + | 0.290894i | ||||
\(961\) | −27.1373 | − | 47.0031i | −0.875396 | − | 1.51623i | ||||
\(962\) | 13.6816 | + | 23.6971i | 0.441111 | + | 0.764027i | ||||
\(963\) | 20.0954 | + | 7.31412i | 0.647565 | + | 0.235694i | ||||
\(964\) | 9.59152 | − | 16.6130i | 0.308922 | − | 0.535069i | ||||
\(965\) | −0.429892 | + | 0.744596i | −0.0138387 | + | 0.0239694i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.8849 | + | 50.0301i | 0.928876 | + | 1.60886i | 0.785206 | + | 0.619235i | \(0.212557\pi\) |
0.143670 | + | 0.989626i | \(0.454110\pi\) | |||||||
\(968\) | −23.4620 | −0.754098 | ||||||||
\(969\) | −1.68092 | + | 2.00324i | −0.0539990 | + | 0.0643535i | ||||
\(970\) | 2.24990 | 0.0722401 | ||||||||
\(971\) | −15.3596 | + | 26.6036i | −0.492914 | + | 0.853752i | −0.999967 | − | 0.00816326i | \(-0.997402\pi\) |
0.507053 | + | 0.861915i | \(0.330735\pi\) | |||||||
\(972\) | 12.2914 | + | 14.6484i | 0.394248 | + | 0.469846i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 8.52687 | − | 14.7690i | 0.273219 | − | 0.473229i | ||||
\(975\) | 18.3050 | + | 3.22766i | 0.586229 | + | 0.103368i | ||||
\(976\) | −0.159978 | + | 0.277089i | −0.00512076 | + | 0.00886941i | ||||
\(977\) | −5.15002 | + | 8.92009i | −0.164764 | + | 0.285379i | −0.936571 | − | 0.350477i | \(-0.886019\pi\) |
0.771808 | + | 0.635856i | \(0.219353\pi\) | |||||||
\(978\) | 2.54189 | − | 3.02931i | 0.0812806 | − | 0.0968665i | ||||
\(979\) | 7.50862 | − | 13.0053i | 0.239976 | − | 0.415651i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.927833 | + | 0.778544i | −0.0296234 | + | 0.0248570i | ||||
\(982\) | 11.5009 | − | 19.9201i | 0.367008 | − | 0.635676i | ||||
\(983\) | −13.6963 | −0.436846 | −0.218423 | − | 0.975854i | \(-0.570091\pi\) | ||||
−0.218423 | + | 0.975854i | \(0.570091\pi\) | |||||||
\(984\) | 16.5116 | + | 2.91144i | 0.526371 | + | 0.0928134i | ||||
\(985\) | −15.4206 | −0.491343 | ||||||||
\(986\) | −1.28968 | − | 2.23379i | −0.0410717 | − | 0.0711383i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.66860 | − | 11.5503i | 0.212156 | − | 0.367465i | ||||
\(989\) | 19.7271 | − | 34.1684i | 0.627287 | − | 1.08649i | ||||
\(990\) | −4.50000 | + | 3.77595i | −0.143019 | + | 0.120008i | ||||
\(991\) | −28.9907 | − | 50.2133i | −0.920919 | − | 1.59508i | −0.797997 | − | 0.602662i | \(-0.794107\pi\) |
−0.122922 | − | 0.992416i | \(-0.539227\pi\) | |||||||
\(992\) | −26.0326 | − | 45.0897i | −0.826534 | − | 1.43160i | ||||
\(993\) | −39.3166 | − | 6.93258i | −1.24767 | − | 0.219999i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.45084 | + | 4.24497i | 0.0776968 | + | 0.134575i | ||||
\(996\) | 31.4898 | + | 5.55250i | 0.997792 | + | 0.175938i | ||||
\(997\) | −16.2175 | −0.513614 | −0.256807 | − | 0.966463i | \(-0.582670\pi\) | ||||
−0.256807 | + | 0.966463i | \(0.582670\pi\) | |||||||
\(998\) | −6.28817 | − | 10.8914i | −0.199049 | − | 0.344762i | ||||
\(999\) | 41.5549 | − | 23.9917i | 1.31474 | − | 0.759065i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))