Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(24,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.u (of order \(18\), degree \(6\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 424.2 | ||
Root | \(-0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 475.424 |
Dual form | 475.2.u.a.149.2 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62760 | + | 1.93969i | 1.15088 | + | 1.37157i | 0.916797 | + | 0.399354i | \(0.130766\pi\) |
0.234087 | + | 0.972216i | \(0.424790\pi\) | |||||||
\(3\) | −0.223238 | + | 0.613341i | −0.128886 | + | 0.354112i | −0.987305 | − | 0.158838i | \(-0.949225\pi\) |
0.858418 | + | 0.512950i | \(0.171448\pi\) | |||||||
\(4\) | −0.766044 | + | 4.34445i | −0.383022 | + | 2.17223i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.55303 | + | 0.565258i | −0.634023 | + | 0.230766i | ||||
\(7\) | 1.32683 | + | 0.766044i | 0.501494 | + | 0.289538i | 0.729330 | − | 0.684162i | \(-0.239832\pi\) |
−0.227836 | + | 0.973699i | \(0.573165\pi\) | |||||||
\(8\) | −5.28801 | + | 3.05303i | −1.86959 | + | 1.07941i | ||||
\(9\) | 1.97178 | + | 1.65452i | 0.657261 | + | 0.551507i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.592396 | + | 1.02606i | 0.178614 | + | 0.309369i | 0.941406 | − | 0.337275i | \(-0.109505\pi\) |
−0.762792 | + | 0.646644i | \(0.776172\pi\) | |||||||
\(12\) | −2.49362 | − | 1.43969i | −0.719846 | − | 0.415603i | ||||
\(13\) | −0.929228 | − | 2.55303i | −0.257722 | − | 0.708084i | −0.999307 | − | 0.0372256i | \(-0.988148\pi\) |
0.741585 | − | 0.670859i | \(-0.234074\pi\) | |||||||
\(14\) | 0.673648 | + | 3.82045i | 0.180040 | + | 1.02106i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.23783 | − | 2.27038i | −1.55946 | − | 0.567596i | ||||
\(17\) | −2.49362 | − | 2.97178i | −0.604792 | − | 0.720763i | 0.373584 | − | 0.927596i | \(-0.378129\pi\) |
−0.978376 | + | 0.206833i | \(0.933684\pi\) | |||||||
\(18\) | 6.51754i | 1.53620i | ||||||||
\(19\) | −0.819078 | − | 4.28125i | −0.187909 | − | 0.982186i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.766044 | + | 0.642788i | −0.167165 | + | 0.140268i | ||||
\(22\) | −1.02606 | + | 2.81908i | −0.218757 | + | 0.601029i | ||||
\(23\) | −4.98724 | − | 0.879385i | −1.03991 | − | 0.183364i | −0.372484 | − | 0.928039i | \(-0.621494\pi\) |
−0.667428 | + | 0.744674i | \(0.732605\pi\) | |||||||
\(24\) | −0.692066 | − | 3.92490i | −0.141267 | − | 0.801168i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.43969 | − | 5.95772i | 0.674579 | − | 1.16841i | ||||
\(27\) | −3.15074 | + | 1.81908i | −0.606359 | + | 0.350082i | ||||
\(28\) | −4.34445 | + | 5.17752i | −0.821025 | + | 0.978459i | ||||
\(29\) | 3.56418 | + | 2.99070i | 0.661851 | + | 0.555359i | 0.910641 | − | 0.413198i | \(-0.135588\pi\) |
−0.248790 | + | 0.968557i | \(0.580033\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.91875 | − | 3.32337i | 0.344617 | − | 0.596895i | −0.640667 | − | 0.767819i | \(-0.721342\pi\) |
0.985284 | + | 0.170924i | \(0.0546753\pi\) | |||||||
\(32\) | −1.57202 | − | 4.31908i | −0.277896 | − | 0.763512i | ||||
\(33\) | −0.761570 | + | 0.134285i | −0.132572 | + | 0.0233761i | ||||
\(34\) | 1.70574 | − | 9.67372i | 0.292531 | − | 1.65903i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.69846 | + | 7.29888i | −1.44974 | + | 1.21648i | ||||
\(37\) | 4.10607i | 0.675033i | 0.941320 | + | 0.337517i | \(0.109587\pi\) | ||||
−0.941320 | + | 0.337517i | \(0.890413\pi\) | |||||||
\(38\) | 6.97118 | − | 8.55690i | 1.13088 | − | 1.38811i | ||||
\(39\) | 1.77332 | 0.283958 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.38326 | + | 3.41523i | 1.46542 | + | 0.533369i | 0.946852 | − | 0.321669i | \(-0.104244\pi\) |
0.518566 | + | 0.855038i | \(0.326466\pi\) | |||||||
\(42\) | −2.49362 | − | 0.439693i | −0.384774 | − | 0.0678460i | ||||
\(43\) | 8.57013 | − | 1.51114i | 1.30693 | − | 0.230447i | 0.523554 | − | 0.851993i | \(-0.324606\pi\) |
0.783378 | + | 0.621545i | \(0.213495\pi\) | |||||||
\(44\) | −4.91147 | + | 1.78763i | −0.740433 | + | 0.269495i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.41147 | − | 11.1050i | −0.945320 | − | 1.63734i | ||||
\(47\) | 0.368946 | − | 0.439693i | 0.0538163 | − | 0.0641358i | −0.738465 | − | 0.674292i | \(-0.764449\pi\) |
0.792281 | + | 0.610156i | \(0.208893\pi\) | |||||||
\(48\) | 2.78504 | − | 3.31908i | 0.401985 | − | 0.479068i | ||||
\(49\) | −2.32635 | − | 4.02936i | −0.332336 | − | 0.575623i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.37939 | − | 0.866025i | 0.333181 | − | 0.121268i | ||||
\(52\) | 11.8034 | − | 2.08125i | 1.63683 | − | 0.288618i | ||||
\(53\) | 2.89884 | + | 0.511144i | 0.398187 | + | 0.0702111i | 0.369156 | − | 0.929367i | \(-0.379647\pi\) |
0.0290308 | + | 0.999579i | \(0.490758\pi\) | |||||||
\(54\) | −8.65657 | − | 3.15074i | −1.17801 | − | 0.428761i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.35504 | −1.25012 | ||||||||
\(57\) | 2.80872 | + | 0.453363i | 0.372023 | + | 0.0600494i | ||||
\(58\) | 11.7811i | 1.54693i | ||||||||
\(59\) | 3.01501 | − | 2.52990i | 0.392521 | − | 0.329365i | −0.425073 | − | 0.905159i | \(-0.639752\pi\) |
0.817595 | + | 0.575794i | \(0.195307\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.784463 | + | 4.44891i | −0.100440 | + | 0.569624i | 0.892504 | + | 0.451040i | \(0.148947\pi\) |
−0.992944 | + | 0.118585i | \(0.962164\pi\) | |||||||
\(62\) | 9.56926 | − | 1.68732i | 1.21530 | − | 0.214290i | ||||
\(63\) | 1.34878 | + | 3.70574i | 0.169930 | + | 0.466879i | ||||
\(64\) | −0.819078 | + | 1.41868i | −0.102385 | + | 0.177336i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.50000 | − | 1.25865i | −0.184637 | − | 0.154929i | ||||
\(67\) | −2.49860 | + | 2.97771i | −0.305252 | + | 0.363785i | −0.896763 | − | 0.442512i | \(-0.854087\pi\) |
0.591510 | + | 0.806297i | \(0.298532\pi\) | |||||||
\(68\) | 14.8210 | − | 8.55690i | 1.79731 | − | 1.03768i | ||||
\(69\) | 1.65270 | − | 2.86257i | 0.198962 | − | 0.344613i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.20439 | − | 6.83045i | −0.142935 | − | 0.810625i | −0.969002 | − | 0.247053i | \(-0.920538\pi\) |
0.826067 | − | 0.563572i | \(-0.190573\pi\) | |||||||
\(72\) | −15.4781 | − | 2.72921i | −1.82411 | − | 0.321640i | ||||
\(73\) | 2.09602 | − | 5.75877i | 0.245321 | − | 0.674013i | −0.754522 | − | 0.656275i | \(-0.772131\pi\) |
0.999843 | − | 0.0177383i | \(-0.00564657\pi\) | |||||||
\(74\) | −7.96451 | + | 6.68302i | −0.925855 | + | 0.776885i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 19.2271 | − | 0.278817i | 2.20551 | − | 0.0319825i | ||||
\(77\) | 1.81521i | 0.206862i | ||||||||
\(78\) | 2.88624 | + | 3.43969i | 0.326803 | + | 0.389468i | ||||
\(79\) | 9.21688 | + | 3.35467i | 1.03698 | + | 0.377430i | 0.803735 | − | 0.594988i | \(-0.202843\pi\) |
0.233246 | + | 0.972418i | \(0.425065\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.928548 | + | 5.26606i | 0.103172 | + | 0.585118i | ||||
\(82\) | 8.64766 | + | 23.7592i | 0.954974 | + | 2.62377i | ||||
\(83\) | −10.6679 | − | 6.15910i | −1.17095 | − | 0.676049i | −0.217047 | − | 0.976161i | \(-0.569643\pi\) |
−0.953904 | + | 0.300112i | \(0.902976\pi\) | |||||||
\(84\) | −2.20574 | − | 3.82045i | −0.240666 | − | 0.416845i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 16.8799 | + | 14.1639i | 1.82020 | + | 1.52733i | ||||
\(87\) | −2.62998 | + | 1.51842i | −0.281963 | + | 0.162792i | ||||
\(88\) | −6.26519 | − | 3.61721i | −0.667872 | − | 0.385596i | ||||
\(89\) | −2.27972 | + | 0.829748i | −0.241649 | + | 0.0879532i | −0.460006 | − | 0.887916i | \(-0.652153\pi\) |
0.218356 | + | 0.975869i | \(0.429930\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.722811 | − | 4.09927i | 0.0757712 | − | 0.429720i | ||||
\(92\) | 7.64090 | − | 20.9932i | 0.796619 | − | 2.18869i | ||||
\(93\) | 1.61002 | + | 1.91875i | 0.166951 | + | 0.198965i | ||||
\(94\) | 1.45336 | 0.149903 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −4.73708 | − | 5.64543i | −0.480977 | − | 0.573207i | 0.469922 | − | 0.882708i | \(-0.344282\pi\) |
−0.950899 | + | 0.309502i | \(0.899838\pi\) | |||||||
\(98\) | 4.02936 | − | 11.0706i | 0.407027 | − | 1.11830i | ||||
\(99\) | −0.529563 | + | 3.00330i | −0.0532231 | + | 0.301843i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.03936 | + | 0.742267i | −0.202924 | + | 0.0738584i | −0.441483 | − | 0.897270i | \(-0.645547\pi\) |
0.238559 | + | 0.971128i | \(0.423325\pi\) | |||||||
\(102\) | 5.55250 | + | 3.20574i | 0.549779 | + | 0.317415i | ||||
\(103\) | −10.8042 | + | 6.23783i | −1.06457 | + | 0.614631i | −0.926694 | − | 0.375818i | \(-0.877362\pi\) |
−0.137879 | + | 0.990449i | \(0.544029\pi\) | |||||||
\(104\) | 12.7083 | + | 10.6635i | 1.24615 | + | 1.04564i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.72668 | + | 6.45480i | 0.361967 | + | 0.626946i | ||||
\(107\) | −5.78509 | − | 3.34002i | −0.559266 | − | 0.322892i | 0.193585 | − | 0.981083i | \(-0.437988\pi\) |
−0.752851 | + | 0.658191i | \(0.771322\pi\) | |||||||
\(108\) | −5.48930 | − | 15.0817i | −0.528208 | − | 1.45124i | ||||
\(109\) | −1.64156 | − | 9.30975i | −0.157233 | − | 0.891712i | −0.956716 | − | 0.291023i | \(-0.906004\pi\) |
0.799483 | − | 0.600689i | \(-0.205107\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.51842 | − | 0.916629i | −0.239038 | − | 0.0870026i | ||||
\(112\) | −6.53731 | − | 7.79086i | −0.617717 | − | 0.736167i | ||||
\(113\) | 1.31046i | 0.123278i | 0.998099 | + | 0.0616388i | \(0.0196327\pi\) | ||||
−0.998099 | + | 0.0616388i | \(0.980367\pi\) | |||||||
\(114\) | 3.69207 | + | 6.18594i | 0.345794 | + | 0.579366i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −15.7233 | + | 13.1934i | −1.45987 | + | 1.22498i | ||||
\(117\) | 2.39181 | − | 6.57145i | 0.221123 | − | 0.607531i | ||||
\(118\) | 9.81445 | + | 1.73055i | 0.903493 | + | 0.159310i | ||||
\(119\) | −1.03209 | − | 5.85327i | −0.0946114 | − | 0.536568i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.79813 | − | 8.31061i | 0.436194 | − | 0.755510i | ||||
\(122\) | −9.90630 | + | 5.71941i | −0.896875 | + | 0.517811i | ||||
\(123\) | −4.18939 | + | 4.99273i | −0.377745 | + | 0.450179i | ||||
\(124\) | 12.9684 | + | 10.8818i | 1.16459 | + | 0.977211i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −4.99273 | + | 8.64766i | −0.444787 | + | 0.770394i | ||||
\(127\) | −4.96032 | − | 13.6284i | −0.440157 | − | 1.20932i | −0.939389 | − | 0.342853i | \(-0.888607\pi\) |
0.499232 | − | 0.866468i | \(-0.333615\pi\) | |||||||
\(128\) | −13.1378 | + | 2.31655i | −1.16123 | + | 0.204756i | ||||
\(129\) | −0.986329 | + | 5.59375i | −0.0868415 | + | 0.492502i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −15.1741 | + | 12.7326i | −1.32577 | + | 1.11245i | −0.340722 | + | 0.940164i | \(0.610671\pi\) |
−0.985047 | + | 0.172288i | \(0.944884\pi\) | |||||||
\(132\) | − | 3.41147i | − | 0.296931i | ||||||
\(133\) | 2.19285 | − | 6.30793i | 0.190144 | − | 0.546967i | ||||
\(134\) | −9.84255 | −0.850267 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 22.2592 | + | 8.10170i | 1.90871 | + | 0.694715i | ||||
\(137\) | −10.0494 | − | 1.77197i | −0.858575 | − | 0.151390i | −0.273006 | − | 0.962012i | \(-0.588018\pi\) |
−0.585569 | + | 0.810622i | \(0.699129\pi\) | |||||||
\(138\) | 8.24243 | − | 1.45336i | 0.701642 | − | 0.123718i | ||||
\(139\) | −1.56031 | + | 0.567905i | −0.132344 | + | 0.0481691i | −0.407343 | − | 0.913275i | \(-0.633545\pi\) |
0.274999 | + | 0.961444i | \(0.411322\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.187319 | + | 0.324446i | 0.0157751 | + | 0.0273232i | ||||
\(142\) | 11.2887 | − | 13.4534i | 0.947328 | − | 1.12898i | ||||
\(143\) | 2.06910 | − | 2.46585i | 0.173026 | − | 0.206205i | ||||
\(144\) | −8.54323 | − | 14.7973i | −0.711936 | − | 1.23311i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 14.5817 | − | 5.30731i | 1.20679 | − | 0.439236i | ||||
\(147\) | 2.99070 | − | 0.527341i | 0.246669 | − | 0.0434944i | ||||
\(148\) | −17.8386 | − | 3.14543i | −1.46633 | − | 0.258553i | ||||
\(149\) | 10.5312 | + | 3.83305i | 0.862750 | + | 0.314015i | 0.735228 | − | 0.677820i | \(-0.237075\pi\) |
0.127523 | + | 0.991836i | \(0.459297\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0419 | −0.898576 | −0.449288 | − | 0.893387i | \(-0.648322\pi\) | ||||
−0.449288 | + | 0.893387i | \(0.648322\pi\) | |||||||
\(152\) | 17.4021 | + | 20.1386i | 1.41150 | + | 1.63346i | ||||
\(153\) | − | 9.98545i | − | 0.807276i | ||||||
\(154\) | −3.52094 | + | 2.95442i | −0.283726 | + | 0.238074i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.35844 | + | 7.70410i | −0.108762 | + | 0.616822i | ||||
\(157\) | 10.8262 | − | 1.90895i | 0.864023 | − | 0.152351i | 0.275964 | − | 0.961168i | \(-0.411003\pi\) |
0.588060 | + | 0.808817i | \(0.299892\pi\) | |||||||
\(158\) | 8.49432 | + | 23.3380i | 0.675772 | + | 1.85667i | ||||
\(159\) | −0.960637 | + | 1.66387i | −0.0761835 | + | 0.131954i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.94356 | − | 4.98724i | −0.468418 | − | 0.393050i | ||||
\(162\) | −8.70323 | + | 10.3721i | −0.683791 | + | 0.814910i | ||||
\(163\) | −5.48432 | + | 3.16637i | −0.429565 | + | 0.248010i | −0.699161 | − | 0.714964i | \(-0.746443\pi\) |
0.269596 | + | 0.962973i | \(0.413110\pi\) | |||||||
\(164\) | −22.0253 | + | 38.1489i | −1.71989 | + | 2.97893i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.41622 | − | 30.7169i | −0.420380 | − | 2.38410i | ||||
\(167\) | 13.5690 | + | 2.39259i | 1.05000 | + | 0.185144i | 0.671917 | − | 0.740626i | \(-0.265471\pi\) |
0.378087 | + | 0.925770i | \(0.376582\pi\) | |||||||
\(168\) | 2.08840 | − | 5.73783i | 0.161123 | − | 0.442683i | ||||
\(169\) | 4.30406 | − | 3.61154i | 0.331082 | − | 0.277811i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.46838 | − | 9.79687i | 0.418177 | − | 0.749186i | ||||
\(172\) | 38.3901i | 2.92722i | ||||||||
\(173\) | 16.2286 | + | 19.3405i | 1.23384 | + | 1.47043i | 0.832053 | + | 0.554696i | \(0.187165\pi\) |
0.401784 | + | 0.915734i | \(0.368390\pi\) | |||||||
\(174\) | −7.22580 | − | 2.62998i | −0.547787 | − | 0.199378i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.36571 | − | 7.74535i | −0.102945 | − | 0.583828i | ||||
\(177\) | 0.878624 | + | 2.41400i | 0.0660414 | + | 0.181447i | ||||
\(178\) | −5.31991 | − | 3.07145i | −0.398744 | − | 0.230215i | ||||
\(179\) | 2.91534 | + | 5.04952i | 0.217903 | + | 0.377419i | 0.954167 | − | 0.299276i | \(-0.0967450\pi\) |
−0.736264 | + | 0.676695i | \(0.763412\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3892 | + | 8.71756i | 0.772222 | + | 0.647971i | 0.941277 | − | 0.337635i | \(-0.109627\pi\) |
−0.169055 | + | 0.985607i | \(0.554072\pi\) | |||||||
\(182\) | 9.12776 | − | 5.26991i | 0.676595 | − | 0.390632i | ||||
\(183\) | −2.55358 | − | 1.47431i | −0.188766 | − | 0.108984i | ||||
\(184\) | 29.0574 | − | 10.5760i | 2.14214 | − | 0.779674i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.10132 | + | 6.24589i | −0.0807526 | + | 0.457971i | ||||
\(187\) | 1.57202 | − | 4.31908i | 0.114957 | − | 0.315842i | ||||
\(188\) | 1.62760 | + | 1.93969i | 0.118705 | + | 0.141467i | ||||
\(189\) | −5.57398 | −0.405447 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.2841 | −0.744128 | −0.372064 | − | 0.928207i | \(-0.621350\pi\) | ||||
−0.372064 | + | 0.928207i | \(0.621350\pi\) | |||||||
\(192\) | −0.687288 | − | 0.819078i | −0.0496007 | − | 0.0591119i | ||||
\(193\) | 4.72010 | − | 12.9684i | 0.339760 | − | 0.933484i | −0.645702 | − | 0.763590i | \(-0.723435\pi\) |
0.985462 | − | 0.169895i | \(-0.0543427\pi\) | |||||||
\(194\) | 3.24035 | − | 18.3770i | 0.232644 | − | 1.31939i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 19.2875 | − | 7.02006i | 1.37768 | − | 0.501433i | ||||
\(197\) | −6.87700 | − | 3.97044i | −0.489966 | − | 0.282882i | 0.234594 | − | 0.972093i | \(-0.424624\pi\) |
−0.724560 | + | 0.689211i | \(0.757957\pi\) | |||||||
\(198\) | −6.68739 | + | 3.86097i | −0.475252 | + | 0.274387i | ||||
\(199\) | −20.7101 | − | 17.3778i | −1.46810 | − | 1.23188i | −0.917879 | − | 0.396861i | \(-0.870100\pi\) |
−0.550219 | − | 0.835020i | \(-0.685456\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.26857 | − | 2.19723i | −0.0894781 | − | 0.154981i | ||||
\(202\) | −4.75903 | − | 2.74763i | −0.334844 | − | 0.193322i | ||||
\(203\) | 2.43804 | + | 6.69846i | 0.171117 | + | 0.470140i | ||||
\(204\) | 1.93969 | + | 11.0005i | 0.135806 | + | 0.770192i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −29.6844 | − | 10.8042i | −2.06821 | − | 0.752766i | ||||
\(207\) | −8.37879 | − | 9.98545i | −0.582366 | − | 0.694037i | ||||
\(208\) | 18.0351i | 1.25051i | ||||||||
\(209\) | 3.90760 | − | 3.37662i | 0.270295 | − | 0.233566i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.18345 | + | 5.18853i | −0.425686 | + | 0.357193i | −0.830321 | − | 0.557285i | \(-0.811843\pi\) |
0.404635 | + | 0.914478i | \(0.367399\pi\) | |||||||
\(212\) | −4.44129 | + | 12.2023i | −0.305029 | + | 0.838060i | ||||
\(213\) | 4.45826 | + | 0.786112i | 0.305475 | + | 0.0538635i | ||||
\(214\) | −2.93717 | − | 16.6575i | −0.200781 | − | 1.13868i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 11.1074 | − | 19.2386i | 0.755764 | − | 1.30902i | ||||
\(217\) | 5.09170 | − | 2.93969i | 0.345647 | − | 0.199559i | ||||
\(218\) | 15.3863 | − | 18.3366i | 1.04209 | − | 1.24191i | ||||
\(219\) | 3.06418 | + | 2.57115i | 0.207058 | + | 0.173742i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.26991 | + | 9.12776i | −0.354493 | + | 0.614000i | ||||
\(222\) | −2.32099 | − | 6.37686i | −0.155774 | − | 0.427987i | ||||
\(223\) | 15.2405 | − | 2.68732i | 1.02058 | − | 0.179956i | 0.361773 | − | 0.932266i | \(-0.382172\pi\) |
0.658809 | + | 0.752310i | \(0.271060\pi\) | |||||||
\(224\) | 1.22281 | − | 6.93491i | 0.0817025 | − | 0.463358i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.54189 | + | 2.13290i | −0.169084 | + | 0.141878i | ||||
\(227\) | − | 9.87258i | − | 0.655266i | −0.944805 | − | 0.327633i | \(-0.893749\pi\) | ||
0.944805 | − | 0.327633i | \(-0.106251\pi\) | |||||||
\(228\) | −4.12122 | + | 11.8550i | −0.272934 | + | 0.785119i | ||||
\(229\) | −20.1189 | −1.32949 | −0.664746 | − | 0.747070i | \(-0.731460\pi\) | ||||
−0.664746 | + | 0.747070i | \(0.731460\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.11334 | − | 0.405223i | −0.0732524 | − | 0.0266617i | ||||
\(232\) | −27.9781 | − | 4.93330i | −1.83685 | − | 0.323887i | ||||
\(233\) | −3.48108 | + | 0.613808i | −0.228053 | + | 0.0402119i | −0.286507 | − | 0.958078i | \(-0.592494\pi\) |
0.0584538 | + | 0.998290i | \(0.481383\pi\) | |||||||
\(234\) | 16.6395 | − | 6.05628i | 1.08776 | − | 0.395912i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 8.68139 | + | 15.0366i | 0.565110 | + | 0.978800i | ||||
\(237\) | −4.11511 | + | 4.90420i | −0.267305 | + | 0.318562i | ||||
\(238\) | 9.67372 | − | 11.5287i | 0.627054 | − | 0.747294i | ||||
\(239\) | 5.98680 | + | 10.3694i | 0.387254 | + | 0.670743i | 0.992079 | − | 0.125615i | \(-0.0400904\pi\) |
−0.604825 | + | 0.796358i | \(0.706757\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.1236 | + | 4.41263i | −0.780950 | + | 0.284243i | −0.701569 | − | 0.712602i | \(-0.747517\pi\) |
−0.0793814 | + | 0.996844i | \(0.525294\pi\) | |||||||
\(242\) | 23.9294 | − | 4.21941i | 1.53824 | − | 0.271234i | ||||
\(243\) | −14.1858 | − | 2.50134i | −0.910021 | − | 0.160461i | ||||
\(244\) | −18.7271 | − | 6.81612i | −1.19888 | − | 0.436358i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −16.5030 | −1.05219 | ||||||||
\(247\) | −10.1691 | + | 6.06939i | −0.647042 | + | 0.386186i | ||||
\(248\) | 23.4320i | 1.48793i | ||||||||
\(249\) | 6.15910 | − | 5.16810i | 0.390317 | − | 0.327515i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.49407 | − | 14.1446i | 0.157424 | − | 0.892798i | −0.799112 | − | 0.601183i | \(-0.794696\pi\) |
0.956536 | − | 0.291615i | \(-0.0941925\pi\) | |||||||
\(252\) | −17.1326 | + | 3.02094i | −1.07925 | + | 0.190302i | ||||
\(253\) | −2.05212 | − | 5.63816i | −0.129016 | − | 0.354468i | ||||
\(254\) | 18.3614 | − | 31.8029i | 1.15210 | − | 1.99549i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −23.3666 | − | 19.6069i | −1.46042 | − | 1.22543i | ||||
\(257\) | 3.19961 | − | 3.81315i | 0.199586 | − | 0.237858i | −0.656963 | − | 0.753923i | \(-0.728159\pi\) |
0.856549 | + | 0.516065i | \(0.172604\pi\) | |||||||
\(258\) | −12.4555 | + | 7.19119i | −0.775446 | + | 0.447704i | ||||
\(259\) | −3.14543 | + | 5.44804i | −0.195447 | + | 0.338525i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.07960 | + | 11.7940i | 0.128724 | + | 0.730031i | ||||
\(262\) | −49.3946 | − | 8.70961i | −3.05161 | − | 0.538081i | ||||
\(263\) | −8.22313 | + | 22.5929i | −0.507060 | + | 1.39314i | 0.377196 | + | 0.926133i | \(0.376888\pi\) |
−0.884256 | + | 0.467002i | \(0.845334\pi\) | |||||||
\(264\) | 3.61721 | − | 3.03520i | 0.222624 | − | 0.186804i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 15.8045 | − | 6.01330i | 0.969038 | − | 0.368699i | ||||
\(267\) | − | 1.58347i | − | 0.0969070i | ||||||
\(268\) | −11.0225 | − | 13.1361i | −0.673306 | − | 0.802415i | ||||
\(269\) | −12.3204 | − | 4.48427i | −0.751189 | − | 0.273411i | −0.0620832 | − | 0.998071i | \(-0.519774\pi\) |
−0.689106 | + | 0.724660i | \(0.741997\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.61381 | − | 26.1662i | −0.280269 | − | 1.58948i | −0.721711 | − | 0.692194i | \(-0.756644\pi\) |
0.441443 | − | 0.897290i | \(-0.354467\pi\) | |||||||
\(272\) | 8.80769 | + | 24.1989i | 0.534045 | + | 1.46728i | ||||
\(273\) | 2.35289 | + | 1.35844i | 0.142403 | + | 0.0822166i | ||||
\(274\) | −12.9192 | − | 22.3767i | −0.780478 | − | 1.35183i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 11.1702 | + | 9.37295i | 0.672370 | + | 0.564185i | ||||
\(277\) | 14.2987 | − | 8.25537i | 0.859127 | − | 0.496017i | −0.00459317 | − | 0.999989i | \(-0.501462\pi\) |
0.863720 | + | 0.503973i | \(0.168129\pi\) | |||||||
\(278\) | −3.64111 | − | 2.10220i | −0.218379 | − | 0.126081i | ||||
\(279\) | 9.28194 | − | 3.37835i | 0.555695 | − | 0.202256i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.36706 | + | 19.0955i | −0.200862 | + | 1.13914i | 0.702958 | + | 0.711231i | \(0.251862\pi\) |
−0.903820 | + | 0.427913i | \(0.859249\pi\) | |||||||
\(282\) | −0.324446 | + | 0.891407i | −0.0193205 | + | 0.0530825i | ||||
\(283\) | −7.27022 | − | 8.66431i | −0.432170 | − | 0.515040i | 0.505377 | − | 0.862899i | \(-0.331353\pi\) |
−0.937547 | + | 0.347859i | \(0.886909\pi\) | |||||||
\(284\) | 30.5972 | 1.81561 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.15064 | 0.481958 | ||||||||
\(287\) | 9.83375 | + | 11.7194i | 0.580468 | + | 0.691775i | ||||
\(288\) | 4.04633 | − | 11.1172i | 0.238433 | − | 0.655088i | ||||
\(289\) | 0.338678 | − | 1.92074i | 0.0199222 | − | 0.112985i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.52007 | − | 1.64517i | 0.264971 | − | 0.0964416i | ||||
\(292\) | 23.4131 | + | 13.5175i | 1.37015 | + | 0.791054i | ||||
\(293\) | 3.37662 | − | 1.94949i | 0.197264 | − | 0.113891i | −0.398115 | − | 0.917336i | \(-0.630335\pi\) |
0.595379 | + | 0.803445i | \(0.297002\pi\) | |||||||
\(294\) | 5.89053 | + | 4.94274i | 0.343543 | + | 0.288267i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −12.5360 | − | 21.7129i | −0.728638 | − | 1.26204i | ||||
\(297\) | −3.73297 | − | 2.15523i | −0.216609 | − | 0.125059i | ||||
\(298\) | 9.70562 | + | 26.6660i | 0.562231 | + | 1.54472i | ||||
\(299\) | 2.38919 | + | 13.5497i | 0.138170 | + | 0.783602i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.5287 | + | 4.56007i | 0.722141 | + | 0.262838i | ||||
\(302\) | −17.9717 | − | 21.4179i | −1.03416 | − | 1.23246i | ||||
\(303\) | − | 1.41653i | − | 0.0813773i | ||||||
\(304\) | −4.61081 | + | 28.5653i | −0.264448 | + | 1.63833i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 19.3687 | − | 16.2523i | 1.10724 | − | 0.929081i | ||||
\(307\) | −7.92642 | + | 21.7777i | −0.452385 | + | 1.24292i | 0.478657 | + | 0.878002i | \(0.341124\pi\) |
−0.931041 | + | 0.364914i | \(0.881098\pi\) | |||||||
\(308\) | −7.88609 | − | 1.39053i | −0.449351 | − | 0.0792328i | ||||
\(309\) | −1.41400 | − | 8.01919i | −0.0804397 | − | 0.456196i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.73055 | − | 2.99740i | 0.0981306 | − | 0.169967i | −0.812780 | − | 0.582570i | \(-0.802047\pi\) |
0.910911 | + | 0.412603i | \(0.135380\pi\) | |||||||
\(312\) | −9.37732 | + | 5.41400i | −0.530886 | + | 0.306507i | ||||
\(313\) | 14.7133 | − | 17.5346i | 0.831644 | − | 0.991115i | −0.168341 | − | 0.985729i | \(-0.553841\pi\) |
0.999985 | − | 0.00538626i | \(-0.00171451\pi\) | |||||||
\(314\) | 21.3234 | + | 17.8925i | 1.20335 | + | 1.00973i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.6348 | + | 37.4725i | −1.21705 | + | 2.10799i | ||||
\(317\) | 8.93378 | + | 24.5453i | 0.501771 | + | 1.37860i | 0.889544 | + | 0.456849i | \(0.151022\pi\) |
−0.387773 | + | 0.921755i | \(0.626756\pi\) | |||||||
\(318\) | −4.79093 | + | 0.844770i | −0.268662 | + | 0.0473724i | ||||
\(319\) | −0.957234 | + | 5.42874i | −0.0535948 | + | 0.303951i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.34002 | − | 2.80261i | 0.186422 | − | 0.156427i | ||||
\(322\) | − | 19.6459i | − | 1.09482i | ||||||
\(323\) | −10.6805 | + | 13.1099i | −0.594277 | + | 0.729456i | ||||
\(324\) | −23.5895 | −1.31053 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −15.0680 | − | 5.48432i | −0.834542 | − | 0.303748i | ||||
\(327\) | 6.07650 | + | 1.07145i | 0.336031 | + | 0.0592514i | ||||
\(328\) | −60.0455 | + | 10.5876i | −3.31546 | + | 0.584605i | ||||
\(329\) | 0.826352 | − | 0.300767i | 0.0455583 | − | 0.0165818i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.52229 | − | 16.4931i | −0.523392 | − | 0.906542i | −0.999629 | − | 0.0272251i | \(-0.991333\pi\) |
0.476237 | − | 0.879317i | \(-0.342000\pi\) | |||||||
\(332\) | 34.9300 | − | 41.6279i | 1.91703 | − | 2.28463i | ||||
\(333\) | −6.79357 | + | 8.09627i | −0.372286 | + | 0.443673i | ||||
\(334\) | 17.4440 | + | 30.2139i | 0.954495 | + | 1.65323i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 6.23783 | − | 2.27038i | 0.340301 | − | 0.123860i | ||||
\(337\) | 1.67555 | − | 0.295445i | 0.0912731 | − | 0.0160939i | −0.127825 | − | 0.991797i | \(-0.540800\pi\) |
0.219098 | + | 0.975703i | \(0.429688\pi\) | |||||||
\(338\) | 14.0105 | + | 2.47044i | 0.762073 | + | 0.134374i | ||||
\(339\) | −0.803758 | − | 0.292544i | −0.0436542 | − | 0.0158888i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.54664 | 0.246214 | ||||||||
\(342\) | 27.9032 | − | 5.33837i | 1.50883 | − | 0.288666i | ||||
\(343\) | − | 17.8530i | − | 0.963970i | ||||||
\(344\) | −40.7053 | + | 34.1558i | −2.19468 | + | 1.84156i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.1010 | + | 62.9570i | −0.596794 | + | 3.38459i | ||||
\(347\) | −4.82721 | + | 0.851167i | −0.259138 | + | 0.0456930i | −0.301708 | − | 0.953400i | \(-0.597557\pi\) |
0.0425697 | + | 0.999094i | \(0.486446\pi\) | |||||||
\(348\) | −4.58202 | − | 12.5890i | −0.245622 | − | 0.674841i | ||||
\(349\) | −14.0646 | + | 24.3607i | −0.752863 | + | 1.30400i | 0.193566 | + | 0.981087i | \(0.437994\pi\) |
−0.946430 | + | 0.322910i | \(0.895339\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.57192 | + | 6.35359i | 0.404159 | + | 0.339130i | ||||
\(352\) | 3.50038 | − | 4.17159i | 0.186571 | − | 0.222346i | ||||
\(353\) | −7.20529 | + | 4.15998i | −0.383499 | + | 0.221413i | −0.679340 | − | 0.733824i | \(-0.737734\pi\) |
0.295841 | + | 0.955237i | \(0.404400\pi\) | |||||||
\(354\) | −3.25237 | + | 5.63328i | −0.172862 | + | 0.299405i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.85844 | − | 10.5397i | −0.0984972 | − | 0.558605i | ||||
\(357\) | 3.82045 | + | 0.673648i | 0.202200 | + | 0.0356532i | ||||
\(358\) | −5.04952 | + | 13.8735i | −0.266876 | + | 0.733235i | ||||
\(359\) | −19.0967 | + | 16.0241i | −1.00789 | + | 0.845718i | −0.988057 | − | 0.154086i | \(-0.950757\pi\) |
−0.0198296 | + | 0.999803i | \(0.506312\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.6582 | + | 7.01336i | −0.929380 | + | 0.369124i | ||||
\(362\) | 34.3405i | 1.80490i | ||||||||
\(363\) | 4.02611 | + | 4.79813i | 0.211316 | + | 0.251837i | ||||
\(364\) | 17.2554 | + | 6.28044i | 0.904427 | + | 0.329184i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.29648 | − | 7.35273i | −0.0677683 | − | 0.384333i | ||||
\(367\) | −0.884409 | − | 2.42989i | −0.0461657 | − | 0.126839i | 0.914467 | − | 0.404660i | \(-0.132610\pi\) |
−0.960633 | + | 0.277821i | \(0.910388\pi\) | |||||||
\(368\) | 29.1130 | + | 16.8084i | 1.51762 | + | 0.876198i | ||||
\(369\) | 12.8512 | + | 22.2589i | 0.669005 | + | 1.15875i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.45471 | + | 2.89884i | 0.179359 | + | 0.150500i | ||||
\(372\) | −9.56926 | + | 5.52481i | −0.496143 | + | 0.286448i | ||||
\(373\) | 20.2505 | + | 11.6917i | 1.04853 | + | 0.605371i | 0.922238 | − | 0.386622i | \(-0.126358\pi\) |
0.126295 | + | 0.991993i | \(0.459691\pi\) | |||||||
\(374\) | 10.9363 | − | 3.98048i | 0.565502 | − | 0.205826i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.608593 | + | 3.45150i | −0.0313858 | + | 0.177998i | ||||
\(377\) | 4.32342 | − | 11.8785i | 0.222668 | − | 0.611774i | ||||
\(378\) | −9.07218 | − | 10.8118i | −0.466623 | − | 0.556099i | ||||
\(379\) | −25.4388 | −1.30670 | −0.653352 | − | 0.757054i | \(-0.726638\pi\) | ||||
−0.653352 | + | 0.757054i | \(0.726638\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.46616 | 0.484966 | ||||||||
\(382\) | −16.7383 | − | 19.9479i | −0.856405 | − | 1.02062i | ||||
\(383\) | −9.39895 | + | 25.8234i | −0.480264 | + | 1.31951i | 0.429003 | + | 0.903303i | \(0.358865\pi\) |
−0.909268 | + | 0.416212i | \(0.863357\pi\) | |||||||
\(384\) | 1.51202 | − | 8.57510i | 0.0771600 | − | 0.437596i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 32.8371 | − | 11.9517i | 1.67136 | − | 0.608327i | ||||
\(387\) | 19.3986 | + | 11.1998i | 0.986088 | + | 0.569318i | ||||
\(388\) | 28.1551 | − | 16.2554i | 1.42936 | − | 0.825241i | ||||
\(389\) | 2.56031 | + | 2.14835i | 0.129813 | + | 0.108926i | 0.705383 | − | 0.708827i | \(-0.250775\pi\) |
−0.575570 | + | 0.817753i | \(0.695220\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.82295 | + | 17.0138i | 0.496768 | + | 0.860427i | ||||
\(392\) | 24.6035 | + | 14.2049i | 1.24267 | + | 0.717454i | ||||
\(393\) | −4.42198 | − | 12.1493i | −0.223060 | − | 0.612851i | ||||
\(394\) | −3.49154 | − | 19.8015i | −0.175901 | − | 0.997587i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −12.6420 | − | 4.60132i | −0.635286 | − | 0.231225i | ||||
\(397\) | 8.43550 | + | 10.0530i | 0.423365 | + | 0.504547i | 0.934996 | − | 0.354658i | \(-0.115403\pi\) |
−0.511631 | + | 0.859206i | \(0.670958\pi\) | |||||||
\(398\) | − | 68.4552i | − | 3.43135i | ||||||
\(399\) | 3.37939 | + | 2.75314i | 0.169181 | + | 0.137829i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.1099 | − | 11.0005i | 0.654679 | − | 0.549341i | −0.253808 | − | 0.967255i | \(-0.581683\pi\) |
0.908487 | + | 0.417914i | \(0.137239\pi\) | |||||||
\(402\) | 2.19723 | − | 6.03684i | 0.109588 | − | 0.301090i | ||||
\(403\) | −10.2676 | − | 1.81046i | −0.511467 | − | 0.0901854i | ||||
\(404\) | −1.66250 | − | 9.42853i | −0.0827127 | − | 0.469087i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.02481 | + | 15.6314i | −0.447894 | + | 0.775775i | ||||
\(407\) | −4.21307 | + | 2.43242i | −0.208834 | + | 0.120571i | ||||
\(408\) | −9.93821 | + | 11.8439i | −0.492015 | + | 0.586360i | ||||
\(409\) | 6.73964 | + | 5.65523i | 0.333254 | + | 0.279633i | 0.794024 | − | 0.607886i | \(-0.207982\pi\) |
−0.460770 | + | 0.887519i | \(0.652427\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.33022 | − | 5.76811i | 0.164268 | − | 0.284520i | ||||
\(412\) | −18.8234 | − | 51.7169i | −0.927364 | − | 2.54791i | ||||
\(413\) | 5.93842 | − | 1.04710i | 0.292211 | − | 0.0515246i | ||||
\(414\) | 5.73143 | − | 32.5046i | 0.281684 | − | 1.59751i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −9.56599 | + | 8.02682i | −0.469011 | + | 0.393547i | ||||
\(417\) | − | 1.08378i | − | 0.0530728i | ||||||
\(418\) | 12.9096 | + | 2.08378i | 0.631429 | + | 0.101921i | ||||
\(419\) | −6.84018 | −0.334165 | −0.167082 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167082 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.53209 | + | 1.64955i | 0.220880 | + | 0.0803939i | 0.450090 | − | 0.892983i | \(-0.351392\pi\) |
−0.229210 | + | 0.973377i | \(0.573614\pi\) | |||||||
\(422\) | −20.1283 | − | 3.54916i | −0.979830 | − | 0.172771i | ||||
\(423\) | 1.45496 | − | 0.256549i | 0.0707426 | − | 0.0124738i | ||||
\(424\) | −16.8897 | + | 6.14733i | −0.820234 | + | 0.298541i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 5.73143 | + | 9.92713i | 0.277689 | + | 0.480971i | ||||
\(427\) | −4.44891 | + | 5.30200i | −0.215298 | + | 0.256582i | ||||
\(428\) | 18.9422 | − | 22.5744i | 0.915606 | − | 1.09118i | ||||
\(429\) | 1.05051 | + | 1.81953i | 0.0507190 | + | 0.0878478i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.22503 | + | 0.445875i | −0.0590077 | + | 0.0214771i | −0.371355 | − | 0.928491i | \(-0.621107\pi\) |
0.312348 | + | 0.949968i | \(0.398885\pi\) | |||||||
\(432\) | 23.7837 | − | 4.19372i | 1.14430 | − | 0.201770i | ||||
\(433\) | 19.5227 | + | 3.44238i | 0.938202 | + | 0.165430i | 0.621783 | − | 0.783189i | \(-0.286409\pi\) |
0.316419 | + | 0.948620i | \(0.397520\pi\) | |||||||
\(434\) | 13.9893 | + | 5.09170i | 0.671509 | + | 0.244409i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 41.7033 | 1.99722 | ||||||||
\(437\) | 0.320070 | + | 22.0719i | 0.0153110 | + | 1.05584i | ||||
\(438\) | 10.1284i | 0.483952i | ||||||||
\(439\) | 26.4800 | − | 22.2193i | 1.26382 | − | 1.06047i | 0.268557 | − | 0.963264i | \(-0.413453\pi\) |
0.995264 | − | 0.0972078i | \(-0.0309912\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.07960 | − | 11.7940i | 0.0990287 | − | 0.561620i | ||||
\(442\) | −26.2823 | + | 4.63429i | −1.25012 | + | 0.220430i | ||||
\(443\) | −5.81780 | − | 15.9843i | −0.276412 | − | 0.759436i | −0.997762 | − | 0.0668650i | \(-0.978700\pi\) |
0.721350 | − | 0.692571i | \(-0.243522\pi\) | |||||||
\(444\) | 5.91147 | − | 10.2390i | 0.280546 | − | 0.485920i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 30.0180 | + | 25.1881i | 1.42139 | + | 1.19269i | ||||
\(447\) | −4.70193 | + | 5.60354i | −0.222394 | + | 0.265038i | ||||
\(448\) | −2.17355 | + | 1.25490i | −0.102691 | + | 0.0592885i | ||||
\(449\) | 18.7049 | − | 32.3978i | 0.882737 | − | 1.52895i | 0.0344512 | − | 0.999406i | \(-0.489032\pi\) |
0.848286 | − | 0.529539i | \(-0.177635\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.05438 | + | 11.6510i | 0.0967369 | + | 0.548622i | ||||
\(452\) | −5.69323 | − | 1.00387i | −0.267787 | − | 0.0472181i | ||||
\(453\) | 2.46497 | − | 6.77244i | 0.115814 | − | 0.318197i | ||||
\(454\) | 19.1498 | − | 16.0686i | 0.898743 | − | 0.754135i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.2366 | + | 6.17771i | −0.760351 | + | 0.289298i | ||||
\(457\) | − | 9.11112i | − | 0.426200i | −0.977030 | − | 0.213100i | \(-0.931644\pi\) | ||
0.977030 | − | 0.213100i | \(-0.0683560\pi\) | |||||||
\(458\) | −32.7454 | − | 39.0244i | −1.53009 | − | 1.82349i | ||||
\(459\) | 13.2626 | + | 4.82721i | 0.619047 | + | 0.225315i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.24540 | − | 24.0769i | −0.197728 | − | 1.12137i | −0.908480 | − | 0.417929i | \(-0.862756\pi\) |
0.710751 | − | 0.703443i | \(-0.248355\pi\) | |||||||
\(462\) | −1.02606 | − | 2.81908i | −0.0477367 | − | 0.131155i | ||||
\(463\) | 0.217134 | + | 0.125362i | 0.0100911 | + | 0.00582609i | 0.505037 | − | 0.863098i | \(-0.331479\pi\) |
−0.494946 | + | 0.868924i | \(0.664812\pi\) | |||||||
\(464\) | −15.4427 | − | 26.7475i | −0.716909 | − | 1.24172i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.85638 | − | 5.75319i | −0.317616 | − | 0.266511i | ||||
\(467\) | −13.3037 | + | 7.68092i | −0.615624 | + | 0.355431i | −0.775163 | − | 0.631761i | \(-0.782332\pi\) |
0.159539 | + | 0.987192i | \(0.448999\pi\) | |||||||
\(468\) | 26.7171 | + | 15.4251i | 1.23500 | + | 0.713028i | ||||
\(469\) | −5.59627 | + | 2.03687i | −0.258412 | + | 0.0940541i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.24598 | + | 7.06629i | −0.0574116 | + | 0.325597i | ||||
\(472\) | −8.21956 | + | 22.5831i | −0.378336 | + | 1.03947i | ||||
\(473\) | 6.62744 | + | 7.89827i | 0.304730 | + | 0.363163i | ||||
\(474\) | −16.2104 | −0.744567 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 26.2199 | 1.20179 | ||||||||
\(477\) | 4.87019 | + | 5.80406i | 0.222991 | + | 0.265750i | ||||
\(478\) | −10.3694 | + | 28.4898i | −0.474287 | + | 1.30309i | ||||
\(479\) | 0.124896 | − | 0.708319i | 0.00570663 | − | 0.0323639i | −0.981821 | − | 0.189807i | \(-0.939214\pi\) |
0.987528 | + | 0.157443i | \(0.0503250\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.4829 | − | 3.81547i | 0.477980 | − | 0.173971i | ||||
\(482\) | −28.2915 | − | 16.3341i | −1.28864 | − | 0.743998i | ||||
\(483\) | 4.38571 | − | 2.53209i | 0.199557 | − | 0.115214i | ||||
\(484\) | 32.4295 | + | 27.2116i | 1.47407 | + | 1.23689i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −18.2369 | − | 31.5873i | −0.827245 | − | 1.43283i | ||||
\(487\) | 10.1731 | + | 5.87346i | 0.460988 | + | 0.266152i | 0.712460 | − | 0.701713i | \(-0.247581\pi\) |
−0.251471 | + | 0.967865i | \(0.580914\pi\) | |||||||
\(488\) | −9.43442 | − | 25.9209i | −0.427076 | − | 1.17338i | ||||
\(489\) | −0.717759 | − | 4.07061i | −0.0324582 | − | 0.184079i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.0834734 | − | 0.0303818i | −0.00376710 | − | 0.00137111i | 0.340136 | − | 0.940376i | \(-0.389527\pi\) |
−0.343903 | + | 0.939005i | \(0.611749\pi\) | |||||||
\(492\) | −18.4814 | − | 22.0253i | −0.833206 | − | 0.992976i | ||||
\(493\) | − | 18.0496i | − | 0.812914i | ||||||
\(494\) | −28.3239 | − | 9.84635i | −1.27435 | − | 0.443008i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −19.5141 | + | 16.3743i | −0.876211 | + | 0.735228i | ||||
\(497\) | 3.63441 | − | 9.98545i | 0.163025 | − | 0.447909i | ||||
\(498\) | 20.0490 | + | 3.53519i | 0.898419 | + | 0.158416i | ||||
\(499\) | −2.55097 | − | 14.4673i | −0.114197 | − | 0.647645i | −0.987145 | − | 0.159830i | \(-0.948905\pi\) |
0.872947 | − | 0.487815i | \(-0.162206\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.49660 | + | 7.78833i | −0.200893 | + | 0.347957i | ||||
\(502\) | 31.4955 | − | 18.1839i | 1.40571 | − | 0.811588i | ||||
\(503\) | 3.15225 | − | 3.75671i | 0.140552 | − | 0.167503i | −0.691176 | − | 0.722686i | \(-0.742907\pi\) |
0.831728 | + | 0.555183i | \(0.187352\pi\) | |||||||
\(504\) | −18.4461 | − | 15.4781i | −0.821654 | − | 0.689450i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 7.59627 | − | 13.1571i | 0.337695 | − | 0.584905i | ||||
\(507\) | 1.25427 | + | 3.44609i | 0.0557043 | + | 0.153046i | ||||
\(508\) | 63.0076 | − | 11.1099i | 2.79551 | − | 0.492924i | ||||
\(509\) | −1.11375 | + | 6.31640i | −0.0493662 | + | 0.279969i | −0.999491 | − | 0.0319002i | \(-0.989844\pi\) |
0.950125 | + | 0.311870i | \(0.100955\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.19253 | − | 6.03525i | 0.318179 | − | 0.266984i | ||||
\(512\) | − | 50.5553i | − | 2.23425i | ||||||
\(513\) | 10.3686 | + | 11.9991i | 0.457786 | + | 0.529774i | ||||
\(514\) | 12.6040 | 0.555939 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −23.5462 | − | 8.57013i | −1.03656 | − | 0.377279i | ||||
\(517\) | 0.669713 | + | 0.118089i | 0.0294540 | + | 0.00519353i | ||||
\(518\) | −15.6870 | + | 2.76604i | −0.689248 | + | 0.121533i | ||||
\(519\) | −15.4851 | + | 5.63613i | −0.679723 | + | 0.247399i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.9067 | + | 31.0154i | 0.784508 | + | 1.35881i | 0.929293 | + | 0.369344i | \(0.120418\pi\) |
−0.144785 | + | 0.989463i | \(0.546249\pi\) | |||||||
\(522\) | −19.4920 | + | 23.2297i | −0.853142 | + | 1.01674i | ||||
\(523\) | −24.9225 | + | 29.7015i | −1.08978 | + | 1.29875i | −0.138526 | + | 0.990359i | \(0.544236\pi\) |
−0.951258 | + | 0.308395i | \(0.900208\pi\) | |||||||
\(524\) | −43.6921 | − | 75.6770i | −1.90870 | − | 3.30596i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −57.2071 | + | 20.8217i | −2.49435 | + | 0.907869i | ||||
\(527\) | −14.6610 | + | 2.58512i | −0.638641 | + | 0.112610i | ||||
\(528\) | 5.05542 | + | 0.891407i | 0.220009 | + | 0.0387935i | ||||
\(529\) | 2.48633 | + | 0.904950i | 0.108101 | + | 0.0393456i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.1307 | 0.439636 | ||||||||
\(532\) | 25.7247 | + | 14.3589i | 1.11531 | + | 0.622538i | ||||
\(533\) | − | 27.1293i | − | 1.17510i | ||||||
\(534\) | 3.07145 | − | 2.57725i | 0.132915 | − | 0.111529i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.12155 | − | 23.3745i | 0.178024 | − | 1.00962i | ||||
\(537\) | −3.74789 | + | 0.660855i | −0.161734 | + | 0.0285180i | ||||
\(538\) | −11.3546 | − | 31.1964i | −0.489530 | − | 1.34497i | ||||
\(539\) | 2.75624 | − | 4.77396i | 0.118720 | − | 0.205629i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.26991 | + | 6.10018i | 0.312558 | + | 0.262267i | 0.785548 | − | 0.618800i | \(-0.212381\pi\) |
−0.472990 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(542\) | 43.2450 | − | 51.5374i | 1.85753 | − | 2.21372i | ||||
\(543\) | −7.66610 | + | 4.42602i | −0.328984 | + | 0.189939i | ||||
\(544\) | −8.91534 | + | 15.4418i | −0.382242 | + | 0.662063i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.19459 | + | 6.77487i | 0.0511238 | + | 0.289938i | ||||
\(547\) | −13.9962 | − | 2.46791i | −0.598435 | − | 0.105520i | −0.133779 | − | 0.991011i | \(-0.542711\pi\) |
−0.464657 | + | 0.885491i | \(0.653822\pi\) | |||||||
\(548\) | 15.3965 | − | 42.3016i | 0.657707 | − | 1.80703i | ||||
\(549\) | −8.90760 | + | 7.47437i | −0.380167 | + | 0.318998i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 9.88460 | − | 17.7088i | 0.421098 | − | 0.754418i | ||||
\(552\) | 20.1830i | 0.859047i | ||||||||
\(553\) | 9.65939 | + | 11.5116i | 0.410759 | + | 0.489524i | ||||
\(554\) | 39.2854 | + | 14.2987i | 1.66908 | + | 0.607494i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.27197 | − | 7.21372i | −0.0539437 | − | 0.305930i | ||||
\(557\) | 7.70908 | + | 21.1805i | 0.326644 | + | 0.897447i | 0.988955 | + | 0.148218i | \(0.0473537\pi\) |
−0.662311 | + | 0.749229i | \(0.730424\pi\) | |||||||
\(558\) | 21.6602 | + | 12.5055i | 0.916949 | + | 0.529401i | ||||
\(559\) | −11.8216 | − | 20.4756i | −0.500001 | − | 0.866026i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.29813 | + | 1.92836i | 0.0970273 | + | 0.0814155i | ||||
\(562\) | −42.5197 | + | 24.5488i | −1.79358 | + | 1.03553i | ||||
\(563\) | 37.2147 | + | 21.4859i | 1.56841 | + | 0.905524i | 0.996354 | + | 0.0853106i | \(0.0271882\pi\) |
0.572058 | + | 0.820213i | \(0.306145\pi\) | |||||||
\(564\) | −1.55303 | + | 0.565258i | −0.0653945 | + | 0.0238017i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.97313 | − | 28.2040i | 0.209036 | − | 1.18550i | ||||
\(567\) | −2.80201 | + | 7.69846i | −0.117673 | + | 0.323305i | ||||
\(568\) | 27.2224 | + | 32.4424i | 1.14223 | + | 1.36125i | ||||
\(569\) | −7.42696 | −0.311354 | −0.155677 | − | 0.987808i | \(-0.549756\pi\) | ||||
−0.155677 | + | 0.987808i | \(0.549756\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.04458 | 0.169260 | 0.0846301 | − | 0.996412i | \(-0.473029\pi\) | ||||
0.0846301 | + | 0.996412i | \(0.473029\pi\) | |||||||
\(572\) | 9.12776 | + | 10.8780i | 0.381651 | + | 0.454834i | ||||
\(573\) | 2.29579 | − | 6.30763i | 0.0959080 | − | 0.263505i | ||||
\(574\) | −6.72668 | + | 38.1489i | −0.280766 | + | 1.59230i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.96229 | + | 1.44215i | −0.165095 | + | 0.0600898i | ||||
\(577\) | 2.80109 | + | 1.61721i | 0.116611 | + | 0.0673254i | 0.557171 | − | 0.830398i | \(-0.311887\pi\) |
−0.440560 | + | 0.897723i | \(0.645220\pi\) | |||||||
\(578\) | 4.27688 | − | 2.46926i | 0.177895 | − | 0.102707i | ||||
\(579\) | 6.90033 | + | 5.79006i | 0.286768 | + | 0.240627i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.43629 | − | 16.3441i | −0.391483 | − | 0.678069i | ||||
\(582\) | 10.5480 | + | 6.08987i | 0.437227 | + | 0.252433i | ||||
\(583\) | 1.19280 | + | 3.27719i | 0.0494007 | + | 0.135727i | ||||
\(584\) | 6.49794 | + | 36.8517i | 0.268887 | + | 1.52493i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.27719 | + | 3.37662i | 0.383237 | + | 0.139487i | ||||
\(587\) | 26.2311 | + | 31.2610i | 1.08267 | + | 1.29028i | 0.954396 | + | 0.298543i | \(0.0965008\pi\) |
0.128279 | + | 0.991738i | \(0.459055\pi\) | |||||||
\(588\) | 13.3969i | 0.552480i | ||||||||
\(589\) | −15.7998 | − | 5.49254i | −0.651019 | − | 0.226316i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.97044 | − | 3.33159i | 0.163322 | − | 0.137043i | ||||
\(592\) | 9.32234 | − | 25.6129i | 0.383146 | − | 1.05268i | ||||
\(593\) | −10.8961 | − | 1.92127i | −0.447449 | − | 0.0788973i | −0.0546164 | − | 0.998507i | \(-0.517394\pi\) |
−0.392832 | + | 0.919610i | \(0.628505\pi\) | |||||||
\(594\) | −1.89528 | − | 10.7487i | −0.0777642 | − | 0.441023i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.7199 | + | 42.8161i | −1.01257 | + | 1.75381i | ||||
\(597\) | 15.2818 | − | 8.82295i | 0.625442 | − | 0.361099i | ||||
\(598\) | −22.3937 | + | 26.6878i | −0.915747 | + | 1.09134i | ||||
\(599\) | 34.1332 | + | 28.6411i | 1.39464 | + | 1.17024i | 0.963419 | + | 0.268000i | \(0.0863626\pi\) |
0.431224 | + | 0.902245i | \(0.358082\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.49953 | − | 4.32932i | 0.101958 | − | 0.176597i | −0.810533 | − | 0.585693i | \(-0.800823\pi\) |
0.912491 | + | 0.409096i | \(0.134156\pi\) | |||||||
\(602\) | 11.5465 | + | 31.7237i | 0.470600 | + | 1.29296i | ||||
\(603\) | −9.85337 | + | 1.73742i | −0.401260 | + | 0.0707530i | ||||
\(604\) | 8.45858 | − | 47.9710i | 0.344175 | − | 1.95191i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.74763 | − | 2.30553i | 0.111615 | − | 0.0936558i | ||||
\(607\) | 31.1881i | 1.26589i | 0.774199 | + | 0.632943i | \(0.218153\pi\) | ||||
−0.774199 | + | 0.632943i | \(0.781847\pi\) | |||||||
\(608\) | −17.2035 | + | 10.2679i | −0.697692 | + | 0.416417i | ||||
\(609\) | −4.65270 | −0.188537 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.46538 | − | 0.533356i | −0.0592831 | − | 0.0215773i | ||||
\(612\) | 43.3813 | + | 7.64930i | 1.75359 | + | 0.309205i | ||||
\(613\) | −16.1209 | + | 2.84255i | −0.651117 | + | 0.114809i | −0.489444 | − | 0.872035i | \(-0.662800\pi\) |
−0.161673 | + | 0.986844i | \(0.551689\pi\) | |||||||
\(614\) | −55.1430 | + | 20.0704i | −2.22539 | + | 0.809975i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.54189 | − | 9.59883i | −0.223289 | − | 0.386748i | ||||
\(617\) | 10.3221 | − | 12.3014i | 0.415551 | − | 0.495235i | −0.517145 | − | 0.855898i | \(-0.673005\pi\) |
0.932696 | + | 0.360663i | \(0.117450\pi\) | |||||||
\(618\) | 13.2534 | − | 15.7947i | 0.533128 | − | 0.635357i | ||||
\(619\) | 11.9213 | + | 20.6483i | 0.479156 | + | 0.829923i | 0.999714 | − | 0.0239031i | \(-0.00760931\pi\) |
−0.520558 | + | 0.853826i | \(0.674276\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.3131 | − | 6.30147i | 0.694753 | − | 0.252869i | ||||
\(622\) | 8.63068 | − | 1.52182i | 0.346059 | − | 0.0610195i | ||||
\(623\) | −3.66041 | − | 0.645430i | −0.146651 | − | 0.0258586i | ||||
\(624\) | −11.0617 | − | 4.02611i | −0.442820 | − | 0.161173i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 57.9590 | 2.31651 | ||||||||
\(627\) | 1.19869 | + | 3.15048i | 0.0478712 | + | 0.125818i | ||||
\(628\) | 48.4962i | 1.93521i | ||||||||
\(629\) | 12.2023 | − | 10.2390i | 0.486539 | − | 0.408255i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.72874 | − | 21.1467i | 0.148439 | − | 0.841838i | −0.816103 | − | 0.577907i | \(-0.803870\pi\) |
0.964541 | − | 0.263931i | \(-0.0850193\pi\) | |||||||
\(632\) | −58.9809 | + | 10.3999i | −2.34613 | + | 0.413687i | ||||
\(633\) | −1.80196 | − | 4.95084i | −0.0716214 | − | 0.196778i | ||||
\(634\) | −33.0699 | + | 57.2787i | −1.31337 | + | 2.27483i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.49273 | − | 5.44804i | −0.257453 | − | 0.216029i | ||||
\(637\) | −8.12538 | + | 9.68345i | −0.321939 | + | 0.383672i | ||||
\(638\) | −12.0881 | + | 6.97906i | −0.478572 | + | 0.276303i | ||||
\(639\) | 8.92633 | − | 15.4609i | 0.353120 | − | 0.611622i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.21466 | + | 12.5600i | 0.0874738 | + | 0.496089i | 0.996795 | + | 0.0799944i | \(0.0254902\pi\) |
−0.909322 | + | 0.416094i | \(0.863399\pi\) | |||||||
\(642\) | 10.8724 | + | 1.91710i | 0.429100 | + | 0.0756619i | ||||
\(643\) | 9.78456 | − | 26.8828i | 0.385865 | − | 1.06016i | −0.582979 | − | 0.812487i | \(-0.698113\pi\) |
0.968845 | − | 0.247669i | \(-0.0796646\pi\) | |||||||
\(644\) | 26.2199 | − | 22.0011i | 1.03321 | − | 0.866964i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −42.8127 | + | 0.620838i | −1.68444 | + | 0.0244265i | ||||
\(647\) | − | 16.7128i | − | 0.657046i | −0.944496 | − | 0.328523i | \(-0.893449\pi\) | ||
0.944496 | − | 0.328523i | \(-0.106551\pi\) | |||||||
\(648\) | −20.9876 | − | 25.0121i | −0.824472 | − | 0.982567i | ||||
\(649\) | 4.38191 | + | 1.59489i | 0.172005 | + | 0.0626047i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.666374 | + | 3.77920i | 0.0261173 | + | 0.148118i | ||||
\(652\) | −9.55493 | − | 26.2520i | −0.374200 | − | 1.02811i | ||||
\(653\) | −23.3827 | − | 13.5000i | −0.915035 | − | 0.528296i | −0.0329874 | − | 0.999456i | \(-0.510502\pi\) |
−0.882048 | + | 0.471160i | \(0.843835\pi\) | |||||||
\(654\) | 7.81180 | + | 13.5304i | 0.305466 | + | 0.529082i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −50.7772 | − | 42.6072i | −1.98252 | − | 1.66353i | ||||
\(657\) | 13.6609 | − | 7.88713i | 0.532963 | − | 0.307706i | ||||
\(658\) | 1.92836 | + | 1.11334i | 0.0751754 | + | 0.0434025i | ||||
\(659\) | −41.2533 | + | 15.0150i | −1.60700 | + | 0.584900i | −0.980844 | − | 0.194797i | \(-0.937595\pi\) |
−0.626157 | + | 0.779697i | \(0.715373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.86777 | + | 10.5927i | −0.0726480 | + | 0.412007i | 0.926697 | + | 0.375810i | \(0.122636\pi\) |
−0.999345 | + | 0.0361971i | \(0.988476\pi\) | |||||||
\(662\) | 16.4931 | − | 45.3144i | 0.641022 | − | 1.76119i | ||||
\(663\) | −4.42198 | − | 5.26991i | −0.171736 | − | 0.204667i | ||||
\(664\) | 75.2158 | 2.91894 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −26.7615 | −1.03699 | ||||||||
\(667\) | −15.1454 | − | 18.0496i | −0.586434 | − | 0.698884i | ||||
\(668\) | −20.7890 | + | 57.1173i | −0.804350 | + | 2.20993i | ||||
\(669\) | −1.75402 | + | 9.94756i | −0.0678144 | + | 0.384595i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.02956 | + | 1.83061i | −0.194164 | + | 0.0706700i | ||||
\(672\) | 3.98048 | + | 2.29813i | 0.153550 | + | 0.0886524i | ||||
\(673\) | 4.03374 | − | 2.32888i | 0.155489 | − | 0.0897717i | −0.420237 | − | 0.907415i | \(-0.638053\pi\) |
0.575726 | + | 0.817643i | \(0.304720\pi\) | |||||||
\(674\) | 3.30019 | + | 2.76919i | 0.127119 | + | 0.106665i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.3931 | + | 21.4654i | 0.476656 | + | 0.825592i | ||||
\(677\) | 2.83067 | + | 1.63429i | 0.108791 | + | 0.0628107i | 0.553408 | − | 0.832910i | \(-0.313327\pi\) |
−0.444617 | + | 0.895721i | \(0.646660\pi\) | |||||||
\(678\) | −0.740748 | − | 2.03519i | −0.0284482 | − | 0.0781609i | ||||
\(679\) | −1.96064 | − | 11.1193i | −0.0752423 | − | 0.426721i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.05525 | + | 2.20393i | 0.232038 | + | 0.0844549i | ||||
\(682\) | 7.40008 | + | 8.81908i | 0.283364 | + | 0.337700i | ||||
\(683\) | 6.21894i | 0.237961i | 0.992897 | + | 0.118981i | \(0.0379626\pi\) | ||||
−0.992897 | + | 0.118981i | \(0.962037\pi\) | |||||||
\(684\) | 38.3730 | + | 31.2620i | 1.46723 | + | 1.19533i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 34.6293 | − | 29.0574i | 1.32215 | − | 1.10942i | ||||
\(687\) | 4.49129 | − | 12.3397i | 0.171353 | − | 0.470790i | ||||
\(688\) | −56.8898 | − | 10.0312i | −2.16890 | − | 0.382436i | ||||
\(689\) | −1.38872 | − | 7.87581i | −0.0529060 | − | 0.300045i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.1088 | + | 19.2409i | −0.422597 | + | 0.731959i | −0.996193 | − | 0.0871792i | \(-0.972215\pi\) |
0.573596 | + | 0.819139i | \(0.305548\pi\) | |||||||
\(692\) | −96.4557 | + | 55.6887i | −3.66670 | + | 2.11697i | ||||
\(693\) | −3.00330 | + | 3.57919i | −0.114086 | + | 0.135962i | ||||
\(694\) | −9.50774 | − | 7.97794i | −0.360909 | − | 0.302839i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 9.27156 | − | 16.0588i | 0.351438 | − | 0.608708i | ||||
\(697\) | −13.2490 | − | 36.4013i | −0.501841 | − | 1.37880i | ||||
\(698\) | −70.1438 | + | 12.3682i | −2.65498 | + | 0.468145i | ||||
\(699\) | 0.400634 | − | 2.27211i | 0.0151534 | − | 0.0859391i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.2750 | + | 17.8518i | −0.803544 | + | 0.674254i | −0.949058 | − | 0.315102i | \(-0.897961\pi\) |
0.145513 | + | 0.989356i | \(0.453517\pi\) | |||||||
\(702\) | 25.0283i | 0.944631i | ||||||||
\(703\) | 17.5791 | − | 3.36319i | 0.663008 | − | 0.126845i | ||||
\(704\) | −1.94087 | −0.0731495 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.7964 | − | 7.20529i | −0.745047 | − | 0.271175i | ||||
\(707\) | −3.27449 | − | 0.577382i | −0.123150 | − | 0.0217147i | ||||
\(708\) | −11.1606 | + | 1.96791i | −0.419440 | + | 0.0739586i | ||||
\(709\) | −5.73947 | + | 2.08900i | −0.215551 | + | 0.0784540i | −0.447538 | − | 0.894265i | \(-0.647699\pi\) |
0.231988 | + | 0.972719i | \(0.425477\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 12.6233 | + | 21.8642i | 0.473411 | + | 0.819972i | ||||
\(712\) | 9.52190 | − | 11.3478i | 0.356848 | − | 0.425275i | ||||
\(713\) | −12.4918 | + | 14.8871i | −0.467821 | + | 0.557527i | ||||
\(714\) | 4.91147 | + | 8.50692i | 0.183807 | + | 0.318364i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −24.1707 | + | 8.79742i | −0.903302 | + | 0.328775i | ||||
\(717\) | −7.69648 | + | 1.35710i | −0.287430 | + | 0.0506817i | ||||
\(718\) | −62.1635 | − | 10.9611i | −2.31992 | − | 0.409065i | ||||
\(719\) | 36.3885 | + | 13.2443i | 1.35706 | + | 0.493930i | 0.915144 | − | 0.403126i | \(-0.132076\pi\) |
0.441917 | + | 0.897056i | \(0.354299\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.1138 | −0.711835 | ||||||||
\(722\) | −42.3442 | − | 22.8366i | −1.57589 | − | 0.849891i | ||||
\(723\) | − | 8.42097i | − | 0.313179i | ||||||
\(724\) | −45.8316 | + | 38.4573i | −1.70332 | + | 1.42925i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −2.75402 | + | 15.6188i | −0.102211 | + | 0.579669i | ||||
\(727\) | −10.9096 | + | 1.92366i | −0.404615 | + | 0.0713445i | −0.372252 | − | 0.928132i | \(-0.621414\pi\) |
−0.0323628 | + | 0.999476i | \(0.510303\pi\) | |||||||
\(728\) | 8.69296 | + | 23.8837i | 0.322183 | + | 0.885190i | ||||
\(729\) | −3.31996 | + | 5.75033i | −0.122961 | + | 0.212975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −25.8614 | − | 21.7003i | −0.956520 | − | 0.802615i | ||||
\(732\) | 8.36121 | − | 9.96451i | 0.309039 | − | 0.368299i | ||||
\(733\) | −13.6897 | + | 7.90373i | −0.505639 | + | 0.291931i | −0.731039 | − | 0.682335i | \(-0.760964\pi\) |
0.225400 | + | 0.974266i | \(0.427631\pi\) | |||||||
\(734\) | 3.27379 | − | 5.67036i | 0.120838 | − | 0.209297i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.04189 | + | 22.9227i | 0.148986 | + | 0.844942i | ||||
\(737\) | −4.53547 | − | 0.799726i | −0.167066 | − | 0.0294583i | ||||
\(738\) | −22.2589 | + | 61.1558i | −0.819360 | + | 2.25117i | ||||
\(739\) | −1.18685 | + | 0.995887i | −0.0436591 | + | 0.0366343i | −0.664356 | − | 0.747416i | \(-0.731294\pi\) |
0.620697 | + | 0.784050i | \(0.286850\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.45249 | − | 7.59202i | −0.0533584 | − | 0.278900i | ||||
\(742\) | 11.4192i | 0.419213i | ||||||||
\(743\) | 24.5310 | + | 29.2349i | 0.899955 | + | 1.07252i | 0.997012 | + | 0.0772453i | \(0.0246125\pi\) |
−0.0970576 | + | 0.995279i | \(0.530943\pi\) | |||||||
\(744\) | −14.3718 | − | 5.23091i | −0.526896 | − | 0.191774i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 10.2815 | + | 58.3091i | 0.376431 | + | 2.13485i | ||||
\(747\) | −10.8444 | − | 29.7946i | −0.396774 | − | 1.09013i | ||||
\(748\) | 17.5598 | + | 10.1382i | 0.642050 | + | 0.370688i | ||||
\(749\) | −5.11721 | − | 8.86327i | −0.186979 | − | 0.323857i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.4179 | − | 16.2935i | −0.708568 | − | 0.594559i | 0.215629 | − | 0.976475i | \(-0.430820\pi\) |
−0.924197 | + | 0.381916i | \(0.875264\pi\) | |||||||
\(752\) | −3.29969 | + | 1.90508i | −0.120327 | + | 0.0694710i | ||||
\(753\) | 8.11867 | + | 4.68732i | 0.295861 | + | 0.170815i | ||||
\(754\) | 30.0774 | − | 10.9473i | 1.09536 | − | 0.398677i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.26991 | − | 24.2159i | 0.155295 | − | 0.880723i | ||||
\(757\) | −14.4916 | + | 39.8153i | −0.526705 | + | 1.44711i | 0.336222 | + | 0.941783i | \(0.390851\pi\) |
−0.862927 | + | 0.505328i | \(0.831372\pi\) | |||||||
\(758\) | −41.4041 | − | 49.3435i | −1.50386 | − | 1.79224i | ||||
\(759\) | 3.91622 | 0.142150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.85710 | −0.103570 | −0.0517848 | − | 0.998658i | \(-0.516491\pi\) | ||||
−0.0517848 | + | 0.998658i | \(0.516491\pi\) | |||||||
\(762\) | 15.4071 | + | 18.3614i | 0.558139 | + | 0.665165i | ||||
\(763\) | 4.95361 | − | 13.6099i | 0.179333 | − | 0.492713i | ||||
\(764\) | 7.87804 | − | 44.6786i | 0.285018 | − | 1.61641i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −65.3872 | + | 23.7990i | −2.36253 | + | 0.859892i | ||||
\(767\) | −9.26055 | − | 5.34658i | −0.334379 | − | 0.193054i | ||||
\(768\) | 17.2421 | − | 9.95471i | 0.622169 | − | 0.359210i | ||||
\(769\) | −14.6472 | − | 12.2905i | −0.528193 | − | 0.443207i | 0.339284 | − | 0.940684i | \(-0.389815\pi\) |
−0.867477 | + | 0.497477i | \(0.834260\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.62449 | + | 2.81369i | 0.0585044 | + | 0.101333i | ||||
\(772\) | 52.7247 | + | 30.4406i | 1.89760 | + | 1.09558i | ||||
\(773\) | −0.860130 | − | 2.36319i | −0.0309367 | − | 0.0849980i | 0.923263 | − | 0.384169i | \(-0.125512\pi\) |
−0.954199 | + | 0.299171i | \(0.903290\pi\) | |||||||
\(774\) | 9.84895 | + | 55.8561i | 0.354013 | + | 2.00771i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 42.2854 | + | 15.3906i | 1.51796 | + | 0.552491i | ||||
\(777\) | −2.63933 | − | 3.14543i | −0.0946854 | − | 0.112842i | ||||
\(778\) | 8.46286i | 0.303408i | ||||||||
\(779\) | 6.93582 | − | 42.9694i | 0.248502 | − | 1.53954i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.29498 | − | 5.28211i | 0.225252 | − | 0.189009i | ||||
\(782\) | −17.0138 | + | 46.7452i | −0.608414 | + | 1.67160i | ||||
\(783\) | −16.6701 | − | 2.93939i | −0.595741 | − | 0.105045i | ||||
\(784\) | 5.36319 | + | 30.4162i | 0.191542 | + | 1.08629i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 16.3687 | − | 28.3514i | 0.583852 | − | 1.01126i | ||||
\(787\) | −2.36083 | + | 1.36303i | −0.0841545 | + | 0.0485866i | −0.541487 | − | 0.840709i | \(-0.682138\pi\) |
0.457332 | + | 0.889296i | \(0.348805\pi\) | |||||||
\(788\) | 22.5175 | − | 26.8353i | 0.802152 | − | 0.955967i | ||||
\(789\) | −12.0214 | − | 10.0872i | −0.427974 | − | 0.359112i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.00387 | + | 1.73875i | −0.0356935 | + | 0.0618230i | ||||
\(792\) | −6.36884 | − | 17.4982i | −0.226307 | − | 0.621773i | ||||
\(793\) | 12.0872 | − | 2.13129i | 0.429228 | − | 0.0756844i | ||||
\(794\) | −5.77022 | + | 32.7245i | −0.204777 | + | 1.16135i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 91.3620 | − | 76.6618i | 3.23824 | − | 2.71720i | ||||
\(797\) | − | 22.0327i | − | 0.780439i | −0.920722 | − | 0.390219i | \(-0.872399\pi\) | ||
0.920722 | − | 0.390219i | \(-0.127601\pi\) | |||||||
\(798\) | 0.160035 | + | 11.0360i | 0.00566518 | + | 0.390669i | ||||
\(799\) | −2.22668 | −0.0787743 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.86794 | − | 2.13575i | −0.207333 | − | 0.0754632i | ||||
\(802\) | 42.6753 | + | 7.52481i | 1.50692 | + | 0.265710i | ||||
\(803\) | 7.15052 | − | 1.26083i | 0.252336 | − | 0.0444937i | ||||
\(804\) | 10.5175 | − | 3.82807i | 0.370925 | − | 0.135006i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.1998 | − | 22.8627i | −0.464943 | − | 0.805306i | ||||
\(807\) | 5.50077 | − | 6.55556i | 0.193636 | − | 0.230767i | ||||
\(808\) | 8.51800 | − | 10.1514i | 0.299662 | − | 0.357124i | ||||
\(809\) | 27.3603 | + | 47.3893i | 0.961935 | + | 1.66612i | 0.717633 | + | 0.696422i | \(0.245226\pi\) |
0.244302 | + | 0.969699i | \(0.421441\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.17112 | − | 0.790224i | 0.0762384 | − | 0.0277485i | −0.303619 | − | 0.952793i | \(-0.598195\pi\) |
0.379858 | + | 0.925045i | \(0.375973\pi\) | |||||||
\(812\) | −30.9688 | + | 5.46064i | −1.08679 | + | 0.191631i | ||||
\(813\) | 17.0788 | + | 3.01145i | 0.598979 | + | 0.105616i | ||||
\(814\) | −11.5753 | − | 4.21307i | −0.405715 | − | 0.147668i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −16.8084 | −0.588412 | ||||||||
\(817\) | −13.4892 | − | 35.4531i | −0.471927 | − | 1.24035i | ||||
\(818\) | 22.2772i | 0.778906i | ||||||||
\(819\) | 8.20755 | − | 6.88695i | 0.286795 | − | 0.240650i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.192944 | − | 1.09424i | 0.00673379 | − | 0.0381892i | −0.981256 | − | 0.192710i | \(-0.938272\pi\) |
0.987990 | + | 0.154521i | \(0.0493834\pi\) | |||||||
\(822\) | 16.6086 | − | 2.92855i | 0.579292 | − | 0.102145i | ||||
\(823\) | −7.06191 | − | 19.4024i | −0.246163 | − | 0.676327i | −0.999818 | − | 0.0190572i | \(-0.993934\pi\) |
0.753656 | − | 0.657270i | \(-0.228289\pi\) | |||||||
\(824\) | 38.0886 | − | 65.9714i | 1.32688 | − | 2.29822i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 11.6964 | + | 9.81445i | 0.406970 | + | 0.341488i | ||||
\(827\) | 23.3367 | − | 27.8116i | 0.811495 | − | 0.967103i | −0.188392 | − | 0.982094i | \(-0.560328\pi\) |
0.999888 | + | 0.0149913i | \(0.00477207\pi\) | |||||||
\(828\) | 49.7999 | − | 28.7520i | 1.73066 | − | 0.999200i | ||||
\(829\) | −3.57486 | + | 6.19183i | −0.124160 | + | 0.215051i | −0.921404 | − | 0.388606i | \(-0.872957\pi\) |
0.797244 | + | 0.603657i | \(0.206290\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.87134 | + | 10.6129i | 0.0649161 | + | 0.368157i | ||||
\(832\) | 4.38306 | + | 0.772852i | 0.151955 | + | 0.0267938i | ||||
\(833\) | −6.17334 | + | 16.9611i | −0.213893 | + | 0.587667i | ||||
\(834\) | 2.10220 | − | 1.76395i | 0.0727931 | − | 0.0610807i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 11.6762 | + | 19.5630i | 0.403829 | + | 0.676602i | ||||
\(837\) | 13.9614i | 0.482577i | ||||||||
\(838\) | −11.1331 | − | 13.2679i | −0.384585 | − | 0.458330i | ||||
\(839\) | −32.5197 | − | 11.8362i | −1.12270 | − | 0.408631i | −0.287065 | − | 0.957911i | \(-0.592680\pi\) |
−0.835638 | + | 0.549280i | \(0.814902\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.27672 | − | 7.24065i | −0.0440249 | − | 0.249678i | ||||
\(842\) | 4.17680 | + | 11.4757i | 0.143942 | + | 0.395477i | ||||
\(843\) | −10.9604 | − | 6.32800i | −0.377497 | − | 0.217948i | ||||
\(844\) | −17.8045 | − | 30.8384i | −0.612857 | − | 1.06150i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 2.86571 | + | 2.40462i | 0.0985253 | + | 0.0826725i | ||||
\(847\) | 12.7326 | − | 7.35117i | 0.437497 | − | 0.252589i | ||||
\(848\) | −16.9220 | − | 9.76991i | −0.581103 | − | 0.335500i | ||||
\(849\) | 6.93717 | − | 2.52492i | 0.238083 | − | 0.0866551i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.61081 | − | 20.4779i | 0.123777 | − | 0.701975i | ||||
\(852\) | −6.83045 | + | 18.7665i | −0.234007 | + | 0.642930i | ||||
\(853\) | 21.3732 | + | 25.4716i | 0.731805 | + | 0.872132i | 0.995721 | − | 0.0924142i | \(-0.0294584\pi\) |
−0.263915 | + | 0.964546i | \(0.585014\pi\) | |||||||
\(854\) | −17.5253 | −0.599703 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 40.7888 | 1.39413 | ||||||||
\(857\) | 2.49800 | + | 2.97700i | 0.0853299 | + | 0.101692i | 0.807020 | − | 0.590524i | \(-0.201079\pi\) |
−0.721690 | + | 0.692216i | \(0.756634\pi\) | |||||||
\(858\) | −1.81953 | + | 4.99912i | −0.0621178 | + | 0.170667i | ||||
\(859\) | −0.287866 | + | 1.63257i | −0.00982187 | + | 0.0557026i | −0.989325 | − | 0.145727i | \(-0.953448\pi\) |
0.979503 | + | 0.201430i | \(0.0645589\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.38326 | + | 3.41523i | −0.319780 | + | 0.116391i | ||||
\(862\) | −2.85872 | − | 1.65048i | −0.0973684 | − | 0.0562156i | ||||
\(863\) | −45.6558 | + | 26.3594i | −1.55414 | + | 0.897284i | −0.556343 | + | 0.830953i | \(0.687796\pi\) |
−0.997798 | + | 0.0663308i | \(0.978871\pi\) | |||||||
\(864\) | 12.8097 | + | 10.7487i | 0.435796 | + | 0.365677i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 25.0979 | + | 43.4709i | 0.852862 | + | 1.47720i | ||||
\(867\) | 1.10246 | + | 0.636507i | 0.0374416 | + | 0.0216169i | ||||
\(868\) | 8.87089 | + | 24.3726i | 0.301098 | + | 0.827259i | ||||
\(869\) | 2.01795 | + | 11.4444i | 0.0684543 | + | 0.388224i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.92396 | + | 3.61203i | 0.336261 | + | 0.122389i | ||||
\(872\) | 37.1035 | + | 44.2183i | 1.25648 | + | 1.49742i | ||||
\(873\) | − | 18.9691i | − | 0.642008i | ||||||
\(874\) | −42.2918 | + | 36.5450i | −1.43054 | + | 1.23615i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −13.5175 | + | 11.3426i | −0.456715 | + | 0.383230i | ||||
\(877\) | 7.24735 | − | 19.9119i | 0.244726 | − | 0.672378i | −0.755133 | − | 0.655572i | \(-0.772428\pi\) |
0.999859 | − | 0.0168069i | \(-0.00535004\pi\) | |||||||
\(878\) | 86.1974 | + | 15.1989i | 2.90902 | + | 0.512939i | ||||
\(879\) | 0.441914 | + | 2.50622i | 0.0149054 | + | 0.0845327i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.0505 | + | 27.8003i | −0.540755 | + | 0.936616i | 0.458106 | + | 0.888898i | \(0.348528\pi\) |
−0.998861 | + | 0.0477179i | \(0.984805\pi\) | |||||||
\(882\) | 26.2615 | − | 15.1621i | 0.884271 | − | 0.510534i | ||||
\(883\) | 30.4018 | − | 36.2315i | 1.02310 | − | 1.21929i | 0.0476989 | − | 0.998862i | \(-0.484811\pi\) |
0.975404 | − | 0.220425i | \(-0.0707444\pi\) | |||||||
\(884\) | −35.6181 | − | 29.8872i | −1.19797 | − | 1.00521i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.5355 | − | 37.3007i | 0.723501 | − | 1.25314i | ||||
\(887\) | 3.61278 | + | 9.92602i | 0.121305 | + | 0.333283i | 0.985451 | − | 0.169958i | \(-0.0543631\pi\) |
−0.864146 | + | 0.503241i | \(0.832141\pi\) | |||||||
\(888\) | 16.1159 | − | 2.84167i | 0.540815 | − | 0.0953602i | ||||
\(889\) | 3.85844 | − | 21.8823i | 0.129408 | − | 0.733909i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.85323 | + | 4.07234i | −0.162589 | + | 0.136429i | ||||
\(892\) | 68.2704i | 2.28586i | ||||||||
\(893\) | −2.18463 | − | 1.21941i | −0.0731059 | − | 0.0408059i | ||||
\(894\) | −18.5220 | −0.619468 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −19.2062 | − | 6.99049i | −0.641634 | − | 0.233536i | ||||
\(897\) | −8.84397 | − | 1.55943i | −0.295291 | − | 0.0520679i | ||||
\(898\) | 93.2857 | − | 16.4488i | 3.11298 | − | 0.548903i | ||||
\(899\) | 16.7780 | − | 6.10668i | 0.559576 | − | 0.203669i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.70961 | − | 9.88933i | −0.190215 | − | 0.329461i | ||||
\(902\) | −19.2556 | + | 22.9479i | −0.641141 | + | 0.764081i | ||||
\(903\) | −5.59375 | + | 6.66637i | −0.186148 | + | 0.221843i | ||||
\(904\) | −4.00088 | − | 6.92972i | −0.133067 | − | 0.230479i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 17.1484 | − | 6.24152i | 0.569718 | − | 0.207360i | ||||
\(907\) | 42.2684 | − | 7.45306i | 1.40350 | − | 0.247475i | 0.579919 | − | 0.814674i | \(-0.303084\pi\) |
0.823580 | + | 0.567200i | \(0.191973\pi\) | |||||||
\(908\) | 42.8910 | + | 7.56283i | 1.42339 | + | 0.250981i | ||||
\(909\) | −5.24928 | − | 1.91058i | −0.174107 | − | 0.0633699i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −55.1411 | −1.82691 | −0.913454 | − | 0.406942i | \(-0.866595\pi\) | ||||
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(912\) | −16.4910 | − | 9.20486i | −0.546071 | − | 0.304803i | ||||
\(913\) | − | 14.5945i | − | 0.483008i | ||||||
\(914\) | 17.6728 | − | 14.8292i | 0.584563 | − | 0.490507i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 15.4119 | − | 87.4055i | 0.509225 | − | 2.88796i | ||||
\(917\) | −29.8872 | + | 5.26991i | −0.986961 | + | 0.174028i | ||||
\(918\) | 12.2229 | + | 33.5822i | 0.403416 | + | 1.10838i | ||||
\(919\) | −12.2788 | + | 21.2676i | −0.405041 | + | 0.701552i | −0.994326 | − | 0.106373i | \(-0.966076\pi\) |
0.589285 | + | 0.807925i | \(0.299410\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.5876 | − | 9.72319i | −0.381826 | − | 0.320390i | ||||
\(922\) | 39.7920 | − | 47.4222i | 1.31048 | − | 1.56177i | ||||
\(923\) | −16.3192 | + | 9.42190i | −0.537154 | + | 0.310126i | ||||
\(924\) | 2.61334 | − | 4.52644i | 0.0859726 | − | 0.148909i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0.110242 | + | 0.625213i | 0.00362277 | + | 0.0205458i | ||||
\(927\) | −31.6242 | − | 5.57620i | −1.03867 | − | 0.183146i | ||||
\(928\) | 7.31412 | − | 20.0954i | 0.240098 | − | 0.659663i | ||||
\(929\) | 17.0654 | − | 14.3195i | 0.559896 | − | 0.469809i | −0.318379 | − | 0.947963i | \(-0.603139\pi\) |
0.878276 | + | 0.478155i | \(0.158694\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.3452 | + | 13.2601i | −0.502920 | + | 0.434581i | ||||
\(932\) | − | 15.5936i | − | 0.510785i | ||||||
\(933\) | 1.45211 | + | 1.73055i | 0.0475398 | + | 0.0566557i | ||||
\(934\) | −36.5517 | − | 13.3037i | −1.19601 | − | 0.435312i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 7.41493 | + | 42.0522i | 0.242365 | + | 1.37452i | ||||
\(937\) | −3.26687 | − | 8.97565i | −0.106724 | − | 0.293222i | 0.874823 | − | 0.484443i | \(-0.160978\pi\) |
−0.981547 | + | 0.191221i | \(0.938755\pi\) | |||||||
\(938\) | −13.0594 | − | 7.53983i | −0.426403 | − | 0.246184i | ||||
\(939\) | 7.47013 | + | 12.9386i | 0.243779 | + | 0.422237i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −42.6883 | − | 35.8197i | −1.39160 | − | 1.16769i | −0.964688 | − | 0.263394i | \(-0.915158\pi\) |
−0.426909 | − | 0.904295i | \(-0.640398\pi\) | |||||||
\(942\) | −15.7344 | + | 9.08424i | −0.512654 | + | 0.295981i | ||||
\(943\) | −43.7933 | − | 25.2841i | −1.42610 | − | 0.823362i | ||||
\(944\) | −24.5510 | + | 8.93582i | −0.799066 | + | 0.290836i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.53343 | + | 25.7104i | −0.147395 | + | 0.835916i | ||||
\(947\) | 9.24919 | − | 25.4119i | 0.300558 | − | 0.825777i | −0.693845 | − | 0.720125i | \(-0.744085\pi\) |
0.994403 | − | 0.105653i | \(-0.0336931\pi\) | |||||||
\(948\) | −18.1537 | − | 21.6348i | −0.589605 | − | 0.702664i | ||||
\(949\) | −16.6500 | −0.540482 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −17.0490 | −0.552852 | ||||||||
\(952\) | 23.3279 | + | 27.8011i | 0.756062 | + | 0.901040i | ||||
\(953\) | 7.91128 | − | 21.7361i | 0.256272 | − | 0.704100i | −0.743118 | − | 0.669161i | \(-0.766654\pi\) |
0.999389 | − | 0.0349398i | \(-0.0111240\pi\) | |||||||
\(954\) | −3.33140 | + | 18.8933i | −0.107858 | + | 0.611694i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −49.6357 | + | 18.0659i | −1.60533 | + | 0.584293i | ||||
\(957\) | −3.11598 | − | 1.79901i | −0.100725 | − | 0.0581538i | ||||
\(958\) | 1.57720 | − | 0.910597i | 0.0509570 | − | 0.0294200i | ||||
\(959\) | −11.9764 | − | 10.0494i | −0.386737 | − | 0.324511i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.13681 | + | 14.0934i | 0.262478 | + | 0.454625i | ||||
\(962\) | 24.4628 | + | 14.1236i | 0.788713 | + | 0.455363i | ||||
\(963\) | −5.88079 | − | 16.1573i | −0.189506 | − | 0.520663i | ||||
\(964\) | −9.88326 | − | 56.0507i | −0.318318 | − | 1.80527i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 12.0496 | + | 4.38571i | 0.387690 | + | 0.141108i | ||||
\(967\) | −25.0913 | − | 29.9026i | −0.806881 | − | 0.961603i | 0.192927 | − | 0.981213i | \(-0.438202\pi\) |
−0.999808 | + | 0.0196101i | \(0.993758\pi\) | |||||||
\(968\) | 58.5954i | 1.88333i | ||||||||
\(969\) | −5.65657 | − | 9.47740i | −0.181715 | − | 0.304458i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −31.5631 | + | 26.4845i | −1.01291 | + | 0.849930i | −0.988720 | − | 0.149778i | \(-0.952144\pi\) |
−0.0241869 | + | 0.999707i | \(0.507700\pi\) | |||||||
\(972\) | 21.7339 | − | 59.7135i | 0.697117 | − | 1.91531i | ||||
\(973\) | −2.50530 | − | 0.441752i | −0.0803162 | − | 0.0141619i | ||||
\(974\) | 5.16503 | + | 29.2923i | 0.165498 | + | 0.938587i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14.9941 | − | 25.9705i | 0.479948 | − | 0.831295i | ||||
\(977\) | −19.4802 | + | 11.2469i | −0.623227 | + | 0.359821i | −0.778125 | − | 0.628110i | \(-0.783829\pi\) |
0.154897 | + | 0.987931i | \(0.450495\pi\) | |||||||
\(978\) | 6.72752 | − | 8.01754i | 0.215122 | − | 0.256373i | ||||
\(979\) | −2.20187 | − | 1.84759i | −0.0703720 | − | 0.0590491i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.1664 | − | 21.0728i | 0.388442 | − | 0.672802i | ||||
\(982\) | −0.0769295 | − | 0.211362i | −0.00245492 | − | 0.00674484i | ||||
\(983\) | 43.8694 | − | 7.73536i | 1.39922 | − | 0.246720i | 0.577395 | − | 0.816465i | \(-0.304069\pi\) |
0.821821 | + | 0.569746i | \(0.192958\pi\) | |||||||
\(984\) | 6.91060 | − | 39.1919i | 0.220302 | − | 1.24939i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 35.0107 | − | 29.3775i | 1.11497 | − | 0.935570i | ||||
\(987\) | 0.573978i | 0.0182699i | ||||||||
\(988\) | −18.5782 | − | 48.8285i | −0.591052 | − | 1.55344i | ||||
\(989\) | −44.0702 | −1.40135 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 42.5959 | + | 15.5036i | 1.35310 | + | 0.492489i | 0.913915 | − | 0.405907i | \(-0.133044\pi\) |
0.439187 | + | 0.898395i | \(0.355266\pi\) | |||||||
\(992\) | −17.3702 | − | 3.06283i | −0.551504 | − | 0.0972451i | ||||
\(993\) | 12.2416 | − | 2.15853i | 0.388476 | − | 0.0684988i | ||||
\(994\) | 25.2841 | − | 9.20264i | 0.801961 | − | 0.291890i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 17.7344 | + | 30.7169i | 0.561937 | + | 0.973303i | ||||
\(997\) | −6.74357 | + | 8.03667i | −0.213571 | + | 0.254524i | −0.862185 | − | 0.506593i | \(-0.830905\pi\) |
0.648614 | + | 0.761117i | \(0.275349\pi\) | |||||||
\(998\) | 23.9101 | − | 28.4950i | 0.756862 | − | 0.901994i | ||||
\(999\) | −7.46926 | − | 12.9371i | −0.236317 | − | 0.409313i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))