Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 121.6 | ||
Character | \(\chi\) | \(=\) | 378.121 |
Dual form | 378.2.w.a.25.6 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | −0.195246 | + | 1.72101i | −0.112725 | + | 0.993626i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.182581 | − | 0.0664541i | 0.0816528 | − | 0.0297192i | −0.300871 | − | 0.953665i | \(-0.597277\pi\) |
0.382524 | + | 0.923946i | \(0.375055\pi\) | |||||||
\(6\) | 0.772092 | − | 1.55044i | 0.315205 | − | 0.632966i | ||||
\(7\) | −2.63939 | + | 0.183356i | −0.997596 | + | 0.0693021i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.92376 | − | 0.672041i | −0.974586 | − | 0.224014i | ||||
\(10\) | −0.194299 | −0.0614427 | ||||||||
\(11\) | 4.34113 | + | 1.58004i | 1.30890 | + | 0.476401i | 0.899885 | − | 0.436127i | \(-0.143650\pi\) |
0.409015 | + | 0.912528i | \(0.365872\pi\) | |||||||
\(12\) | −1.25581 | + | 1.19287i | −0.362522 | + | 0.344352i | ||||
\(13\) | −0.896734 | + | 5.08563i | −0.248709 | + | 1.41050i | 0.563009 | + | 0.826451i | \(0.309644\pi\) |
−0.811718 | + | 0.584050i | \(0.801467\pi\) | |||||||
\(14\) | 2.54293 | + | 0.730426i | 0.679626 | + | 0.195215i | ||||
\(15\) | 0.0787201 | + | 0.327199i | 0.0203254 | + | 0.0844825i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −4.90686 | −1.19009 | −0.595044 | − | 0.803693i | \(-0.702865\pi\) | ||||
−0.595044 | + | 0.803693i | \(0.702865\pi\) | |||||||
\(18\) | 2.51758 | + | 1.63150i | 0.593400 | + | 0.384547i | ||||
\(19\) | −5.22568 | −1.19885 | −0.599427 | − | 0.800430i | \(-0.704605\pi\) | ||||
−0.599427 | + | 0.800430i | \(0.704605\pi\) | |||||||
\(20\) | 0.182581 | + | 0.0664541i | 0.0408264 | + | 0.0148596i | ||||
\(21\) | 0.199772 | − | 4.57822i | 0.0435938 | − | 0.999049i | ||||
\(22\) | −3.53892 | − | 2.96951i | −0.754501 | − | 0.633101i | ||||
\(23\) | 0.935070 | − | 5.30305i | 0.194976 | − | 1.10576i | −0.717478 | − | 0.696581i | \(-0.754704\pi\) |
0.912454 | − | 0.409180i | \(-0.134185\pi\) | |||||||
\(24\) | 1.58806 | − | 0.691418i | 0.324162 | − | 0.141135i | ||||
\(25\) | −3.80130 | + | 3.18967i | −0.760260 | + | 0.637934i | ||||
\(26\) | 2.58204 | − | 4.47223i | 0.506380 | − | 0.877077i | ||||
\(27\) | 1.72744 | − | 4.90061i | 0.332446 | − | 0.943122i | ||||
\(28\) | −2.13975 | − | 1.55611i | −0.404375 | − | 0.294077i | ||||
\(29\) | 0.702296 | + | 3.98292i | 0.130413 | + | 0.739609i | 0.977945 | + | 0.208864i | \(0.0669766\pi\) |
−0.847532 | + | 0.530745i | \(0.821912\pi\) | |||||||
\(30\) | 0.0379361 | − | 0.334391i | 0.00692614 | − | 0.0610511i | ||||
\(31\) | −5.66589 | − | 4.75424i | −1.01762 | − | 0.853887i | −0.0282962 | − | 0.999600i | \(-0.509008\pi\) |
−0.989327 | + | 0.145712i | \(0.953453\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −3.56686 | + | 7.16264i | −0.620910 | + | 1.24686i | ||||
\(34\) | 4.61094 | + | 1.67825i | 0.790770 | + | 0.287817i | ||||
\(35\) | −0.469718 | + | 0.208876i | −0.0793969 | + | 0.0353064i | ||||
\(36\) | −1.80775 | − | 2.39417i | −0.301292 | − | 0.399028i | ||||
\(37\) | 4.47139 | + | 7.74468i | 0.735092 | + | 1.27322i | 0.954683 | + | 0.297625i | \(0.0961945\pi\) |
−0.219591 | + | 0.975592i | \(0.570472\pi\) | |||||||
\(38\) | 4.91053 | + | 1.78729i | 0.796594 | + | 0.289936i | ||||
\(39\) | −8.57735 | − | 2.53624i | −1.37347 | − | 0.406123i | ||||
\(40\) | −0.148842 | − | 0.124893i | −0.0235339 | − | 0.0197473i | ||||
\(41\) | 0.766737 | − | 4.34838i | 0.119744 | − | 0.679103i | −0.864547 | − | 0.502552i | \(-0.832395\pi\) |
0.984291 | − | 0.176552i | \(-0.0564942\pi\) | |||||||
\(42\) | −1.75357 | + | 4.23379i | −0.270581 | + | 0.653288i | ||||
\(43\) | −9.22420 | + | 7.74002i | −1.40668 | + | 1.18034i | −0.448634 | + | 0.893715i | \(0.648089\pi\) |
−0.958042 | + | 0.286627i | \(0.907466\pi\) | |||||||
\(44\) | 2.30987 | + | 4.00081i | 0.348226 | + | 0.603144i | ||||
\(45\) | −0.578483 | + | 0.0715938i | −0.0862352 | + | 0.0106726i | ||||
\(46\) | −2.69243 | + | 4.66342i | −0.396977 | + | 0.687584i | ||||
\(47\) | −3.15776 | + | 2.64968i | −0.460607 | + | 0.386495i | −0.843354 | − | 0.537358i | \(-0.819422\pi\) |
0.382747 | + | 0.923853i | \(0.374978\pi\) | |||||||
\(48\) | −1.72877 | + | 0.106571i | −0.249526 | + | 0.0153822i | ||||
\(49\) | 6.93276 | − | 0.967897i | 0.990394 | − | 0.138271i | ||||
\(50\) | 4.66299 | − | 1.69719i | 0.659446 | − | 0.240019i | ||||
\(51\) | 0.958044 | − | 8.44476i | 0.134153 | − | 1.18250i | ||||
\(52\) | −3.95592 | + | 3.31941i | −0.548587 | + | 0.460319i | ||||
\(53\) | 3.60328 | + | 6.24106i | 0.494949 | + | 0.857276i | 0.999983 | − | 0.00582304i | \(-0.00185354\pi\) |
−0.505034 | + | 0.863099i | \(0.668520\pi\) | |||||||
\(54\) | −3.29937 | + | 4.01424i | −0.448987 | + | 0.546269i | ||||
\(55\) | 0.897609 | 0.121034 | ||||||||
\(56\) | 1.47849 | + | 2.19410i | 0.197571 | + | 0.293199i | ||||
\(57\) | 1.02029 | − | 8.99345i | 0.135141 | − | 1.19121i | ||||
\(58\) | 0.702296 | − | 3.98292i | 0.0922159 | − | 0.522983i | ||||
\(59\) | −0.753252 | + | 4.27191i | −0.0980651 | + | 0.556155i | 0.895700 | + | 0.444659i | \(0.146675\pi\) |
−0.993765 | + | 0.111496i | \(0.964436\pi\) | |||||||
\(60\) | −0.150017 | + | 0.301249i | −0.0193671 | + | 0.0388911i | ||||
\(61\) | 5.88064 | − | 4.93445i | 0.752939 | − | 0.631791i | −0.183339 | − | 0.983050i | \(-0.558691\pi\) |
0.936278 | + | 0.351259i | \(0.114246\pi\) | |||||||
\(62\) | 3.69814 | + | 6.40537i | 0.469665 | + | 0.813483i | ||||
\(63\) | 7.84016 | + | 1.23769i | 0.987767 | + | 0.155934i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0.174234 | + | 0.988133i | 0.0216111 | + | 0.122563i | ||||
\(66\) | 5.80152 | − | 5.51074i | 0.714117 | − | 0.678325i | ||||
\(67\) | 12.1999 | − | 4.44039i | 1.49045 | − | 0.542480i | 0.536882 | − | 0.843657i | \(-0.319602\pi\) |
0.953568 | + | 0.301178i | \(0.0973797\pi\) | |||||||
\(68\) | −3.75887 | − | 3.15407i | −0.455830 | − | 0.382487i | ||||
\(69\) | 8.94403 | + | 2.64466i | 1.07674 | + | 0.318380i | ||||
\(70\) | 0.512831 | − | 0.0356259i | 0.0612950 | − | 0.00425811i | ||||
\(71\) | 4.19642 | − | 7.26842i | 0.498024 | − | 0.862602i | −0.501974 | − | 0.864883i | \(-0.667393\pi\) |
0.999997 | + | 0.00228062i | \(0.000725944\pi\) | |||||||
\(72\) | 0.879875 | + | 2.86807i | 0.103694 | + | 0.338005i | ||||
\(73\) | −2.08201 | + | 3.60614i | −0.243680 | + | 0.422067i | −0.961760 | − | 0.273894i | \(-0.911688\pi\) |
0.718079 | + | 0.695961i | \(0.245021\pi\) | |||||||
\(74\) | −1.55290 | − | 8.80692i | −0.180521 | − | 1.02378i | ||||
\(75\) | −4.74727 | − | 7.16485i | −0.548168 | − | 0.827326i | ||||
\(76\) | −4.00310 | − | 3.35900i | −0.459187 | − | 0.385304i | ||||
\(77\) | −11.7476 | − | 3.37438i | −1.33877 | − | 0.384546i | ||||
\(78\) | 7.19262 | + | 5.31691i | 0.814404 | + | 0.602021i | ||||
\(79\) | 5.58069 | + | 2.03121i | 0.627877 | + | 0.228529i | 0.636307 | − | 0.771436i | \(-0.280461\pi\) |
−0.00842991 | + | 0.999964i | \(0.502683\pi\) | |||||||
\(80\) | 0.0971494 | + | 0.168268i | 0.0108616 | + | 0.0188129i | ||||
\(81\) | 8.09672 | + | 3.92977i | 0.899636 | + | 0.436641i | ||||
\(82\) | −2.20773 | + | 3.82390i | −0.243803 | + | 0.422279i | ||||
\(83\) | 1.24531 | + | 7.06248i | 0.136690 | + | 0.775208i | 0.973668 | + | 0.227971i | \(0.0732092\pi\) |
−0.836978 | + | 0.547237i | \(0.815680\pi\) | |||||||
\(84\) | 3.09586 | − | 3.37871i | 0.337786 | − | 0.368647i | ||||
\(85\) | −0.895901 | + | 0.326081i | −0.0971741 | + | 0.0353685i | ||||
\(86\) | 11.3152 | − | 4.11838i | 1.22014 | − | 0.444096i | ||||
\(87\) | −6.99176 | + | 0.431010i | −0.749596 | + | 0.0462092i | ||||
\(88\) | −0.802209 | − | 4.54955i | −0.0855157 | − | 0.484984i | ||||
\(89\) | 8.04412 | 0.852675 | 0.426337 | − | 0.904564i | \(-0.359804\pi\) | ||||
0.426337 | + | 0.904564i | \(0.359804\pi\) | |||||||
\(90\) | 0.568083 | + | 0.130577i | 0.0598812 | + | 0.0137640i | ||||
\(91\) | 1.43435 | − | 13.5874i | 0.150361 | − | 1.42435i | ||||
\(92\) | 4.12504 | − | 3.46132i | 0.430065 | − | 0.360867i | ||||
\(93\) | 9.28835 | − | 8.82281i | 0.963157 | − | 0.914882i | ||||
\(94\) | 3.87357 | − | 1.40986i | 0.399528 | − | 0.145416i | ||||
\(95\) | −0.954111 | + | 0.347268i | −0.0978897 | + | 0.0356289i | ||||
\(96\) | 1.66096 | + | 0.491130i | 0.169521 | + | 0.0501258i | ||||
\(97\) | −6.79587 | + | 5.70241i | −0.690016 | + | 0.578992i | −0.918914 | − | 0.394458i | \(-0.870932\pi\) |
0.228898 | + | 0.973450i | \(0.426488\pi\) | |||||||
\(98\) | −6.84570 | − | 1.46162i | −0.691521 | − | 0.147646i | ||||
\(99\) | −11.6306 | − | 7.53708i | −1.16892 | − | 0.757505i | ||||
\(100\) | −4.96225 | −0.496225 | ||||||||
\(101\) | 2.98490 | + | 16.9282i | 0.297009 | + | 1.68442i | 0.658924 | + | 0.752209i | \(0.271012\pi\) |
−0.361916 | + | 0.932211i | \(0.617877\pi\) | |||||||
\(102\) | −3.78855 | + | 7.60781i | −0.375122 | + | 0.753285i | ||||
\(103\) | 0.716095 | − | 0.260637i | 0.0705589 | − | 0.0256814i | −0.306500 | − | 0.951871i | \(-0.599158\pi\) |
0.377058 | + | 0.926189i | \(0.376936\pi\) | |||||||
\(104\) | 4.85265 | − | 1.76622i | 0.475842 | − | 0.173192i | ||||
\(105\) | −0.267767 | − | 0.849173i | −0.0261314 | − | 0.0828708i | ||||
\(106\) | −1.25141 | − | 7.09708i | −0.121547 | − | 0.689329i | ||||
\(107\) | 6.61899 | − | 11.4644i | 0.639882 | − | 1.10831i | −0.345576 | − | 0.938391i | \(-0.612317\pi\) |
0.985458 | − | 0.169918i | \(-0.0543501\pi\) | |||||||
\(108\) | 4.47335 | − | 2.64370i | 0.430448 | − | 0.254391i | ||||
\(109\) | 2.77831 | + | 4.81218i | 0.266114 | + | 0.460923i | 0.967855 | − | 0.251509i | \(-0.0809268\pi\) |
−0.701741 | + | 0.712432i | \(0.747594\pi\) | |||||||
\(110\) | −0.843477 | − | 0.307000i | −0.0804224 | − | 0.0292713i | ||||
\(111\) | −14.2017 | + | 6.18320i | −1.34797 | + | 0.586883i | ||||
\(112\) | −0.638896 | − | 2.56745i | −0.0603700 | − | 0.242601i | ||||
\(113\) | −13.3324 | − | 11.1872i | −1.25421 | − | 1.05241i | −0.996274 | − | 0.0862457i | \(-0.972513\pi\) |
−0.257937 | − | 0.966162i | \(-0.583043\pi\) | |||||||
\(114\) | −4.03470 | + | 8.10212i | −0.377885 | + | 0.758833i | ||||
\(115\) | −0.181683 | − | 1.03038i | −0.0169420 | − | 0.0960831i | ||||
\(116\) | −2.02218 | + | 3.50252i | −0.187755 | + | 0.325201i | ||||
\(117\) | 6.03959 | − | 14.2665i | 0.558360 | − | 1.31894i | ||||
\(118\) | 2.16890 | − | 3.75665i | 0.199664 | − | 0.345828i | ||||
\(119\) | 12.9511 | − | 0.899703i | 1.18723 | − | 0.0824757i | ||||
\(120\) | 0.244003 | − | 0.231773i | 0.0222743 | − | 0.0211579i | ||||
\(121\) | 7.92239 | + | 6.64768i | 0.720218 | + | 0.604334i | ||||
\(122\) | −7.21368 | + | 2.62556i | −0.653096 | + | 0.237707i | ||||
\(123\) | 7.33391 | + | 2.16857i | 0.661277 | + | 0.195533i | ||||
\(124\) | −1.28435 | − | 7.28392i | −0.115338 | − | 0.654116i | ||||
\(125\) | −0.967827 | + | 1.67633i | −0.0865651 | + | 0.149935i | ||||
\(126\) | −6.94403 | − | 3.84454i | −0.618623 | − | 0.342499i | ||||
\(127\) | 4.54867 | + | 7.87853i | 0.403630 | + | 0.699107i | 0.994161 | − | 0.107908i | \(-0.0344151\pi\) |
−0.590531 | + | 0.807015i | \(0.701082\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −11.5197 | − | 17.3862i | −1.01425 | − | 1.53077i | ||||
\(130\) | 0.174234 | − | 0.988133i | 0.0152814 | − | 0.0866650i | ||||
\(131\) | −0.578293 | + | 3.27966i | −0.0505257 | + | 0.286546i | −0.999593 | − | 0.0285279i | \(-0.990918\pi\) |
0.949067 | + | 0.315073i | \(0.102029\pi\) | |||||||
\(132\) | −7.33643 | + | 3.19417i | −0.638554 | + | 0.278016i | ||||
\(133\) | 13.7926 | − | 0.958161i | 1.19597 | − | 0.0830831i | ||||
\(134\) | −12.9828 | −1.12155 | ||||||||
\(135\) | −0.0102672 | − | 1.00955i | −0.000883663 | − | 0.0868886i | ||||
\(136\) | 2.45343 | + | 4.24947i | 0.210380 | + | 0.364389i | ||||
\(137\) | 7.08810 | − | 5.94763i | 0.605578 | − | 0.508140i | −0.287655 | − | 0.957734i | \(-0.592876\pi\) |
0.893233 | + | 0.449594i | \(0.148431\pi\) | |||||||
\(138\) | −7.50011 | − | 5.54421i | −0.638452 | − | 0.471955i | ||||
\(139\) | 8.88551 | − | 3.23406i | 0.753659 | − | 0.274309i | 0.0635142 | − | 0.997981i | \(-0.479769\pi\) |
0.690145 | + | 0.723672i | \(0.257547\pi\) | |||||||
\(140\) | −0.494088 | − | 0.141921i | −0.0417580 | − | 0.0119945i | ||||
\(141\) | −3.94359 | − | 5.95189i | −0.332110 | − | 0.501239i | ||||
\(142\) | −6.42929 | + | 5.39482i | −0.539534 | + | 0.452723i | ||||
\(143\) | −11.9284 | + | 20.6605i | −0.997499 | + | 1.72772i | ||||
\(144\) | 0.154126 | − | 2.99604i | 0.0128438 | − | 0.249670i | ||||
\(145\) | 0.392907 | + | 0.680535i | 0.0326292 | + | 0.0565154i | ||||
\(146\) | 3.18982 | − | 2.67658i | 0.263991 | − | 0.221515i | ||||
\(147\) | 0.312168 | + | 12.1203i | 0.0257472 | + | 0.999668i | ||||
\(148\) | −1.55290 | + | 8.80692i | −0.127647 | + | 0.723924i | ||||
\(149\) | 6.07615 | + | 5.09850i | 0.497778 | + | 0.417685i | 0.856804 | − | 0.515642i | \(-0.172447\pi\) |
−0.359026 | + | 0.933327i | \(0.616891\pi\) | |||||||
\(150\) | 2.01045 | + | 8.35642i | 0.164153 | + | 0.682299i | ||||
\(151\) | 5.75737 | + | 2.09551i | 0.468529 | + | 0.170530i | 0.565486 | − | 0.824758i | \(-0.308689\pi\) |
−0.0969571 | + | 0.995289i | \(0.530911\pi\) | |||||||
\(152\) | 2.61284 | + | 4.52557i | 0.211929 | + | 0.367072i | ||||
\(153\) | 14.3465 | + | 3.29761i | 1.15984 | + | 0.266596i | ||||
\(154\) | 9.88507 | + | 7.18881i | 0.796562 | + | 0.579291i | ||||
\(155\) | −1.35042 | − | 0.491514i | −0.108469 | − | 0.0394794i | ||||
\(156\) | −4.94037 | − | 7.45628i | −0.395546 | − | 0.596980i | ||||
\(157\) | −0.507263 | + | 2.87683i | −0.0404840 | + | 0.229596i | −0.998336 | − | 0.0576664i | \(-0.981634\pi\) |
0.957852 | + | 0.287262i | \(0.0927451\pi\) | |||||||
\(158\) | −4.54942 | − | 3.81742i | −0.361933 | − | 0.303698i | ||||
\(159\) | −11.4445 | + | 4.98274i | −0.907605 | + | 0.395157i | ||||
\(160\) | −0.0337396 | − | 0.191347i | −0.00266735 | − | 0.0151273i | ||||
\(161\) | −1.49567 | + | 14.1683i | −0.117875 | + | 1.11662i | ||||
\(162\) | −6.26437 | − | 6.46202i | −0.492175 | − | 0.507704i | ||||
\(163\) | −5.96193 | + | 10.3264i | −0.466974 | + | 0.808823i | −0.999288 | − | 0.0377239i | \(-0.987989\pi\) |
0.532314 | + | 0.846547i | \(0.321323\pi\) | |||||||
\(164\) | 3.38244 | − | 2.83820i | 0.264124 | − | 0.221627i | ||||
\(165\) | −0.175255 | + | 1.54480i | −0.0136435 | + | 0.120262i | ||||
\(166\) | 1.24531 | − | 7.06248i | 0.0966545 | − | 0.548155i | ||||
\(167\) | −3.21514 | − | 2.69782i | −0.248795 | − | 0.208763i | 0.509858 | − | 0.860258i | \(-0.329698\pi\) |
−0.758653 | + | 0.651495i | \(0.774142\pi\) | |||||||
\(168\) | −4.06474 | + | 2.11610i | −0.313602 | + | 0.163261i | ||||
\(169\) | −12.8435 | − | 4.67466i | −0.987963 | − | 0.359589i | ||||
\(170\) | 0.953398 | 0.0731223 | ||||||||
\(171\) | 15.2786 | + | 3.51187i | 1.16839 | + | 0.268559i | ||||
\(172\) | −12.0413 | −0.918143 | ||||||||
\(173\) | 0.784228 | + | 4.44758i | 0.0596238 | + | 0.338143i | 0.999998 | − | 0.00199844i | \(-0.000636124\pi\) |
−0.940374 | + | 0.340142i | \(0.889525\pi\) | |||||||
\(174\) | 6.71752 | + | 1.98631i | 0.509254 | + | 0.150582i | ||||
\(175\) | 9.44827 | − | 9.11578i | 0.714222 | − | 0.689088i | ||||
\(176\) | −0.802209 | + | 4.54955i | −0.0604687 | + | 0.342935i | ||||
\(177\) | −7.20493 | − | 2.13043i | −0.541556 | − | 0.160133i | ||||
\(178\) | −7.55900 | − | 2.75125i | −0.566571 | − | 0.206215i | ||||
\(179\) | −19.6273 | −1.46701 | −0.733505 | − | 0.679684i | \(-0.762117\pi\) | ||||
−0.733505 | + | 0.679684i | \(0.762117\pi\) | |||||||
\(180\) | −0.489163 | − | 0.316998i | −0.0364601 | − | 0.0236276i | ||||
\(181\) | −4.03731 | − | 6.99282i | −0.300091 | − | 0.519772i | 0.676066 | − | 0.736842i | \(-0.263684\pi\) |
−0.976156 | + | 0.217069i | \(0.930350\pi\) | |||||||
\(182\) | −5.99501 | + | 12.2774i | −0.444380 | + | 0.910061i | ||||
\(183\) | 7.34406 | + | 11.0841i | 0.542889 | + | 0.819359i | ||||
\(184\) | −5.06011 | + | 1.84173i | −0.373036 | + | 0.135774i | ||||
\(185\) | 1.33106 | + | 1.11689i | 0.0978613 | + | 0.0821154i | ||||
\(186\) | −11.7458 | + | 5.11392i | −0.861241 | + | 0.374971i | ||||
\(187\) | −21.3013 | − | 7.75305i | −1.55771 | − | 0.566959i | ||||
\(188\) | −4.12217 | −0.300640 | ||||||||
\(189\) | −3.66083 | + | 13.2514i | −0.266287 | + | 0.963894i | ||||
\(190\) | 1.01534 | 0.0736608 | ||||||||
\(191\) | −3.19500 | − | 1.16289i | −0.231182 | − | 0.0841434i | 0.223832 | − | 0.974628i | \(-0.428143\pi\) |
−0.455014 | + | 0.890484i | \(0.650366\pi\) | |||||||
\(192\) | −1.39282 | − | 1.02959i | −0.100518 | − | 0.0743045i | ||||
\(193\) | 2.02187 | + | 1.69655i | 0.145538 | + | 0.122121i | 0.712650 | − | 0.701520i | \(-0.247495\pi\) |
−0.567112 | + | 0.823641i | \(0.691939\pi\) | |||||||
\(194\) | 8.33637 | − | 3.03419i | 0.598516 | − | 0.217842i | ||||
\(195\) | −1.73461 | + | 0.106931i | −0.124218 | + | 0.00765746i | ||||
\(196\) | 5.93296 | + | 3.71484i | 0.423783 | + | 0.265346i | ||||
\(197\) | −1.63189 | − | 2.82651i | −0.116267 | − | 0.201381i | 0.802018 | − | 0.597299i | \(-0.203760\pi\) |
−0.918286 | + | 0.395919i | \(0.870426\pi\) | |||||||
\(198\) | 8.35132 | + | 11.0604i | 0.593503 | + | 0.786030i | ||||
\(199\) | 10.7003 | 0.758525 | 0.379263 | − | 0.925289i | \(-0.376178\pi\) | ||||
0.379263 | + | 0.925289i | \(0.376178\pi\) | |||||||
\(200\) | 4.66299 | + | 1.69719i | 0.329723 | + | 0.120009i | ||||
\(201\) | 5.25998 | + | 21.8631i | 0.371011 | + | 1.54210i | ||||
\(202\) | 2.98490 | − | 16.9282i | 0.210017 | − | 1.19106i | ||||
\(203\) | −2.58392 | − | 10.3837i | −0.181356 | − | 0.728793i | ||||
\(204\) | 6.16209 | − | 5.85324i | 0.431433 | − | 0.409809i | ||||
\(205\) | −0.148976 | − | 0.844886i | −0.0104049 | − | 0.0590094i | ||||
\(206\) | −0.762053 | −0.0530947 | ||||||||
\(207\) | −6.29778 | + | 14.8764i | −0.437726 | + | 1.03398i | ||||
\(208\) | −5.16409 | −0.358065 | ||||||||
\(209\) | −22.6854 | − | 8.25680i | −1.56918 | − | 0.571135i | ||||
\(210\) | −0.0388155 | + | 0.889543i | −0.00267852 | + | 0.0613843i | ||||
\(211\) | −15.8841 | − | 13.3284i | −1.09351 | − | 0.917563i | −0.0965376 | − | 0.995329i | \(-0.530777\pi\) |
−0.996972 | + | 0.0777662i | \(0.975221\pi\) | |||||||
\(212\) | −1.25141 | + | 7.09708i | −0.0859469 | + | 0.487429i | ||||
\(213\) | 11.6897 | + | 8.64122i | 0.800964 | + | 0.592086i | ||||
\(214\) | −10.1409 | + | 8.50921i | −0.693216 | + | 0.581678i | ||||
\(215\) | −1.16981 | + | 2.02617i | −0.0797803 | + | 0.138184i | ||||
\(216\) | −5.10777 | + | 0.954295i | −0.347540 | + | 0.0649316i | ||||
\(217\) | 15.8262 | + | 11.5094i | 1.07435 | + | 0.781311i | ||||
\(218\) | −0.964898 | − | 5.47221i | −0.0653512 | − | 0.370625i | ||||
\(219\) | −5.79971 | − | 4.28724i | −0.391908 | − | 0.289705i | ||||
\(220\) | 0.687609 | + | 0.576972i | 0.0463586 | + | 0.0388995i | ||||
\(221\) | 4.40015 | − | 24.9545i | 0.295986 | − | 1.67862i | ||||
\(222\) | 15.4600 | − | 0.953039i | 1.03761 | − | 0.0639638i | ||||
\(223\) | 6.07337 | + | 2.21053i | 0.406703 | + | 0.148028i | 0.537267 | − | 0.843412i | \(-0.319457\pi\) |
−0.130564 | + | 0.991440i | \(0.541679\pi\) | |||||||
\(224\) | −0.277755 | + | 2.63113i | −0.0185583 | + | 0.175800i | ||||
\(225\) | 13.2577 | − | 6.77120i | 0.883845 | − | 0.451413i | ||||
\(226\) | 8.70213 | + | 15.0725i | 0.578857 | + | 1.00261i | ||||
\(227\) | −5.80117 | − | 2.11145i | −0.385037 | − | 0.140142i | 0.142247 | − | 0.989831i | \(-0.454567\pi\) |
−0.527284 | + | 0.849689i | \(0.676790\pi\) | |||||||
\(228\) | 6.56247 | − | 6.23355i | 0.434610 | − | 0.412827i | ||||
\(229\) | 12.5422 | + | 10.5242i | 0.828813 | + | 0.695457i | 0.955018 | − | 0.296548i | \(-0.0958353\pi\) |
−0.126205 | + | 0.992004i | \(0.540280\pi\) | |||||||
\(230\) | −0.181683 | + | 1.03038i | −0.0119798 | + | 0.0679410i | ||||
\(231\) | 8.10102 | − | 19.5590i | 0.533008 | − | 1.28689i | ||||
\(232\) | 3.09816 | − | 2.59966i | 0.203404 | − | 0.170676i | ||||
\(233\) | 2.30835 | + | 3.99819i | 0.151225 | + | 0.261930i | 0.931678 | − | 0.363285i | \(-0.118345\pi\) |
−0.780453 | + | 0.625215i | \(0.785011\pi\) | |||||||
\(234\) | −10.5548 | + | 11.3405i | −0.689988 | + | 0.741350i | ||||
\(235\) | −0.400466 | + | 0.693628i | −0.0261235 | + | 0.0452473i | ||||
\(236\) | −3.32295 | + | 2.78829i | −0.216306 | + | 0.181502i | ||||
\(237\) | −4.58534 | + | 9.20785i | −0.297850 | + | 0.598114i | ||||
\(238\) | −12.4778 | − | 3.58410i | −0.808815 | − | 0.232323i | ||||
\(239\) | −3.79727 | + | 1.38209i | −0.245625 | + | 0.0894002i | −0.461899 | − | 0.886932i | \(-0.652832\pi\) |
0.216274 | + | 0.976333i | \(0.430610\pi\) | |||||||
\(240\) | −0.308559 | + | 0.134342i | −0.0199174 | + | 0.00867172i | ||||
\(241\) | −18.1591 | + | 15.2373i | −1.16973 | + | 0.981520i | −0.999992 | − | 0.00396921i | \(-0.998737\pi\) |
−0.169738 | + | 0.985489i | \(0.554292\pi\) | |||||||
\(242\) | −5.17098 | − | 8.95639i | −0.332403 | − | 0.575739i | ||||
\(243\) | −8.34403 | + | 13.1673i | −0.535270 | + | 0.844681i | ||||
\(244\) | 7.67664 | 0.491446 | ||||||||
\(245\) | 1.20147 | − | 0.637430i | 0.0767592 | − | 0.0407239i | ||||
\(246\) | −6.14993 | − | 4.54613i | −0.392105 | − | 0.289851i | ||||
\(247\) | 4.68605 | − | 26.5759i | 0.298166 | − | 1.69098i | ||||
\(248\) | −1.28435 | + | 7.28392i | −0.0815564 | + | 0.462530i | ||||
\(249\) | −12.3978 | + | 0.764265i | −0.785675 | + | 0.0484333i | ||||
\(250\) | 1.48280 | − | 1.24421i | 0.0937803 | − | 0.0786910i | ||||
\(251\) | −12.0184 | − | 20.8164i | −0.758592 | − | 1.31392i | −0.943569 | − | 0.331177i | \(-0.892554\pi\) |
0.184976 | − | 0.982743i | \(-0.440779\pi\) | |||||||
\(252\) | 5.21034 | + | 5.98768i | 0.328221 | + | 0.377189i | ||||
\(253\) | 12.4383 | − | 21.5438i | 0.781989 | − | 1.35445i | ||||
\(254\) | −1.57974 | − | 8.95914i | −0.0991216 | − | 0.562146i | ||||
\(255\) | −0.386268 | − | 1.60552i | −0.0241891 | − | 0.100542i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 4.01053 | + | 3.36523i | 0.250170 | + | 0.209918i | 0.759245 | − | 0.650804i | \(-0.225568\pi\) |
−0.509076 | + | 0.860722i | \(0.670013\pi\) | |||||||
\(258\) | 4.87854 | + | 20.2776i | 0.303725 | + | 1.26243i | ||||
\(259\) | −13.2218 | − | 19.6214i | −0.821561 | − | 1.21921i | ||||
\(260\) | −0.501688 | + | 0.868949i | −0.0311134 | + | 0.0538899i | ||||
\(261\) | 0.623339 | − | 12.1171i | 0.0385837 | − | 0.750027i | ||||
\(262\) | 1.66513 | − | 2.88409i | 0.102872 | − | 0.178180i | ||||
\(263\) | 0.977554 | + | 5.54398i | 0.0602786 | + | 0.341857i | 1.00000 | 8.42321e-5i | \(-2.68119e-5\pi\) | |
−0.939721 | + | 0.341941i | \(0.888916\pi\) | |||||||
\(264\) | 7.98646 | − | 0.492329i | 0.491532 | − | 0.0303007i | ||||
\(265\) | 1.07264 | + | 0.900048i | 0.0658915 | + | 0.0552895i | ||||
\(266\) | −13.2885 | − | 3.81697i | −0.814772 | − | 0.234034i | ||||
\(267\) | −1.57058 | + | 13.8440i | −0.0961180 | + | 0.847240i | ||||
\(268\) | 12.1999 | + | 4.44039i | 0.745225 | + | 0.271240i | ||||
\(269\) | 0.645983 | + | 1.11888i | 0.0393863 | + | 0.0682190i | 0.885047 | − | 0.465503i | \(-0.154126\pi\) |
−0.845660 | + | 0.533722i | \(0.820793\pi\) | |||||||
\(270\) | −0.335640 | + | 0.952182i | −0.0204264 | + | 0.0579480i | ||||
\(271\) | 3.54979 | − | 6.14842i | 0.215634 | − | 0.373490i | −0.737834 | − | 0.674982i | \(-0.764151\pi\) |
0.953469 | + | 0.301492i | \(0.0974847\pi\) | |||||||
\(272\) | −0.852067 | − | 4.83231i | −0.0516642 | − | 0.293002i | ||||
\(273\) | 23.1040 | + | 5.12141i | 1.39832 | + | 0.309962i | ||||
\(274\) | −8.69485 | + | 3.16467i | −0.525275 | + | 0.191184i | ||||
\(275\) | −21.5418 | + | 7.84056i | −1.29902 | + | 0.472804i | ||||
\(276\) | 5.15157 | + | 7.77504i | 0.310088 | + | 0.468003i | ||||
\(277\) | −1.80074 | − | 10.2125i | −0.108196 | − | 0.613611i | −0.989895 | − | 0.141799i | \(-0.954711\pi\) |
0.881699 | − | 0.471812i | \(-0.156400\pi\) | |||||||
\(278\) | −9.45576 | −0.567119 | ||||||||
\(279\) | 13.3706 | + | 17.7080i | 0.800479 | + | 1.06015i | ||||
\(280\) | 0.415751 | + | 0.302350i | 0.0248459 | + | 0.0180689i | ||||
\(281\) | 0.712587 | − | 0.597931i | 0.0425094 | − | 0.0356696i | −0.621285 | − | 0.783584i | \(-0.713389\pi\) |
0.663795 | + | 0.747915i | \(0.268945\pi\) | |||||||
\(282\) | 1.67009 | + | 6.94173i | 0.0994526 | + | 0.413374i | ||||
\(283\) | 6.58895 | − | 2.39818i | 0.391672 | − | 0.142557i | −0.138674 | − | 0.990338i | \(-0.544284\pi\) |
0.530346 | + | 0.847781i | \(0.322062\pi\) | |||||||
\(284\) | 7.88669 | − | 2.87052i | 0.467989 | − | 0.170334i | ||||
\(285\) | −0.411366 | − | 1.70984i | −0.0243672 | − | 0.101282i | ||||
\(286\) | 18.2753 | − | 15.3348i | 1.08064 | − | 0.906766i | ||||
\(287\) | −1.22642 | + | 11.6177i | −0.0723930 | + | 0.685769i | ||||
\(288\) | −1.16954 | + | 2.76264i | −0.0689156 | + | 0.162790i | ||||
\(289\) | 7.07728 | 0.416311 | ||||||||
\(290\) | −0.136455 | − | 0.773876i | −0.00801293 | − | 0.0454436i | ||||
\(291\) | −8.48705 | − | 12.8091i | −0.497520 | − | 0.750885i | ||||
\(292\) | −3.91289 | + | 1.42418i | −0.228985 | + | 0.0833436i | ||||
\(293\) | −21.1293 | + | 7.69042i | −1.23438 | + | 0.449279i | −0.875097 | − | 0.483948i | \(-0.839202\pi\) |
−0.359287 | + | 0.933227i | \(0.616980\pi\) | |||||||
\(294\) | 3.85206 | − | 11.4962i | 0.224657 | − | 0.670470i | ||||
\(295\) | 0.146356 | + | 0.830027i | 0.00852118 | + | 0.0483260i | ||||
\(296\) | 4.47139 | − | 7.74468i | 0.259894 | − | 0.450150i | ||||
\(297\) | 15.2422 | − | 18.5447i | 0.884443 | − | 1.07608i | ||||
\(298\) | −3.96593 | − | 6.86919i | −0.229740 | − | 0.397921i | ||||
\(299\) | 26.1308 | + | 9.51085i | 1.51119 | + | 0.550026i | ||||
\(300\) | 0.968859 | − | 8.54008i | 0.0559371 | − | 0.493062i | ||||
\(301\) | 22.9271 | − | 22.1202i | 1.32149 | − | 1.27499i | ||||
\(302\) | −4.69346 | − | 3.93828i | −0.270078 | − | 0.226622i | ||||
\(303\) | −29.7164 | + | 1.83188i | −1.70716 | + | 0.105239i | ||||
\(304\) | −0.907430 | − | 5.14629i | −0.0520447 | − | 0.295160i | ||||
\(305\) | 0.745781 | − | 1.29173i | 0.0427033 | − | 0.0739643i | ||||
\(306\) | −12.3534 | − | 8.00552i | −0.706198 | − | 0.457645i | ||||
\(307\) | −2.99691 | + | 5.19080i | −0.171043 | + | 0.296255i | −0.938785 | − | 0.344504i | \(-0.888047\pi\) |
0.767742 | + | 0.640759i | \(0.221380\pi\) | |||||||
\(308\) | −6.83021 | − | 10.1362i | −0.389188 | − | 0.577562i | ||||
\(309\) | 0.308745 | + | 1.28330i | 0.0175639 | + | 0.0730042i | ||||
\(310\) | 1.10088 | + | 0.923744i | 0.0625255 | + | 0.0524651i | ||||
\(311\) | 20.7453 | − | 7.55069i | 1.17636 | − | 0.428160i | 0.321445 | − | 0.946928i | \(-0.395831\pi\) |
0.854915 | + | 0.518768i | \(0.173609\pi\) | |||||||
\(312\) | 2.09223 | + | 8.69632i | 0.118449 | + | 0.492332i | ||||
\(313\) | −0.387063 | − | 2.19514i | −0.0218781 | − | 0.124077i | 0.971913 | − | 0.235342i | \(-0.0756209\pi\) |
−0.993791 | + | 0.111265i | \(0.964510\pi\) | |||||||
\(314\) | 1.46060 | − | 2.52984i | 0.0824267 | − | 0.142767i | ||||
\(315\) | 1.51372 | − | 0.295032i | 0.0852882 | − | 0.0166232i | ||||
\(316\) | 2.96943 | + | 5.14320i | 0.167043 | + | 0.289327i | ||||
\(317\) | 7.58522 | − | 6.36475i | 0.426028 | − | 0.357480i | −0.404422 | − | 0.914572i | \(-0.632527\pi\) |
0.830451 | + | 0.557092i | \(0.188083\pi\) | |||||||
\(318\) | 12.4585 | − | 0.768009i | 0.698637 | − | 0.0430678i | ||||
\(319\) | −3.24442 | + | 18.4000i | −0.181653 | + | 1.03020i | ||||
\(320\) | −0.0337396 | + | 0.191347i | −0.00188610 | + | 0.0106966i | ||||
\(321\) | 18.4381 | + | 13.6297i | 1.02911 | + | 0.760738i | ||||
\(322\) | 6.25130 | − | 12.8023i | 0.348371 | − | 0.713442i | ||||
\(323\) | 25.6417 | 1.42674 | ||||||||
\(324\) | 3.67644 | + | 8.21485i | 0.204247 | + | 0.456381i | ||||
\(325\) | −12.8127 | − | 22.1923i | −0.710723 | − | 1.23101i | ||||
\(326\) | 9.13420 | − | 7.66451i | 0.505897 | − | 0.424498i | ||||
\(327\) | −8.82427 | + | 3.84195i | −0.487983 | + | 0.212460i | ||||
\(328\) | −4.14918 | + | 1.51018i | −0.229100 | + | 0.0833856i | ||||
\(329\) | 7.84874 | − | 7.57253i | 0.432715 | − | 0.417487i | ||||
\(330\) | 0.693037 | − | 1.39169i | 0.0381504 | − | 0.0766101i | ||||
\(331\) | −21.0594 | + | 17.6709i | −1.15753 | + | 0.971281i | −0.999869 | − | 0.0162130i | \(-0.994839\pi\) |
−0.157659 | + | 0.987494i | \(0.550395\pi\) | |||||||
\(332\) | −3.58572 | + | 6.21064i | −0.196792 | + | 0.340853i | ||||
\(333\) | −7.86853 | − | 25.6485i | −0.431193 | − | 1.40553i | ||||
\(334\) | 2.09853 | + | 3.63476i | 0.114826 | + | 0.198885i | ||||
\(335\) | 1.93238 | − | 1.62146i | 0.105577 | − | 0.0885900i | ||||
\(336\) | 4.54336 | − | 0.598262i | 0.247860 | − | 0.0326379i | ||||
\(337\) | −4.06682 | + | 23.0641i | −0.221534 | + | 1.25638i | 0.647667 | + | 0.761923i | \(0.275745\pi\) |
−0.869201 | + | 0.494458i | \(0.835366\pi\) | |||||||
\(338\) | 10.4701 | + | 8.78549i | 0.569500 | + | 0.477867i | ||||
\(339\) | 21.8565 | − | 20.7610i | 1.18708 | − | 1.12758i | ||||
\(340\) | −0.895901 | − | 0.326081i | −0.0485870 | − | 0.0176842i | ||||
\(341\) | −17.0844 | − | 29.5911i | −0.925175 | − | 1.60245i | ||||
\(342\) | −13.1561 | − | 8.52568i | −0.711399 | − | 0.461016i | ||||
\(343\) | −18.1208 | + | 3.82582i | −0.978431 | + | 0.206575i | ||||
\(344\) | 11.3152 | + | 4.11838i | 0.610072 | + | 0.222048i | ||||
\(345\) | 1.80876 | − | 0.111502i | 0.0973804 | − | 0.00600306i | ||||
\(346\) | 0.784228 | − | 4.44758i | 0.0421604 | − | 0.239103i | ||||
\(347\) | −5.45656 | − | 4.57860i | −0.292924 | − | 0.245792i | 0.484468 | − | 0.874809i | \(-0.339013\pi\) |
−0.777392 | + | 0.629017i | \(0.783458\pi\) | |||||||
\(348\) | −5.63305 | − | 4.16405i | −0.301963 | − | 0.223216i | ||||
\(349\) | 3.49456 | + | 19.8186i | 0.187059 | + | 1.06087i | 0.923281 | + | 0.384126i | \(0.125497\pi\) |
−0.736221 | + | 0.676741i | \(0.763392\pi\) | |||||||
\(350\) | −11.9963 | + | 5.33453i | −0.641227 | + | 0.285143i | ||||
\(351\) | 23.3736 | + | 13.1797i | 1.24759 | + | 0.703479i | ||||
\(352\) | 2.30987 | − | 4.00081i | 0.123116 | − | 0.213244i | ||||
\(353\) | −26.5799 | + | 22.3032i | −1.41470 | + | 1.18708i | −0.460598 | + | 0.887609i | \(0.652365\pi\) |
−0.954106 | + | 0.299469i | \(0.903191\pi\) | |||||||
\(354\) | 6.04177 | + | 4.46618i | 0.321116 | + | 0.237375i | ||||
\(355\) | 0.283172 | − | 1.60595i | 0.0150292 | − | 0.0852348i | ||||
\(356\) | 6.16215 | + | 5.17066i | 0.326593 | + | 0.274044i | ||||
\(357\) | −0.980254 | + | 22.4647i | −0.0518805 | + | 1.18896i | ||||
\(358\) | 18.4436 | + | 6.71292i | 0.974774 | + | 0.354789i | ||||
\(359\) | 15.0965 | 0.796761 | 0.398380 | − | 0.917220i | \(-0.369572\pi\) | ||||
0.398380 | + | 0.917220i | \(0.369572\pi\) | |||||||
\(360\) | 0.351244 | + | 0.465184i | 0.0185122 | + | 0.0245174i | ||||
\(361\) | 8.30773 | 0.437249 | ||||||||
\(362\) | 1.40214 | + | 7.95194i | 0.0736950 | + | 0.417945i | ||||
\(363\) | −12.9875 | + | 12.3366i | −0.681669 | + | 0.647503i | ||||
\(364\) | 9.83258 | − | 9.48656i | 0.515367 | − | 0.497231i | ||||
\(365\) | −0.140492 | + | 0.796772i | −0.00735371 | + | 0.0417049i | ||||
\(366\) | −3.11018 | − | 12.9274i | −0.162572 | − | 0.675729i | ||||
\(367\) | −17.7066 | − | 6.44468i | −0.924278 | − | 0.336410i | −0.164339 | − | 0.986404i | \(-0.552549\pi\) |
−0.759939 | + | 0.649994i | \(0.774771\pi\) | |||||||
\(368\) | 5.38485 | 0.280705 | ||||||||
\(369\) | −5.16404 | + | 12.1983i | −0.268829 | + | 0.635020i | ||||
\(370\) | −0.868786 | − | 1.50478i | −0.0451660 | − | 0.0782299i | ||||
\(371\) | −10.6548 | − | 15.8119i | −0.553170 | − | 0.820914i | ||||
\(372\) | 12.7865 | − | 0.788228i | 0.662948 | − | 0.0408677i | ||||
\(373\) | −14.3618 | + | 5.22727i | −0.743627 | + | 0.270658i | −0.685921 | − | 0.727676i | \(-0.740601\pi\) |
−0.0577054 | + | 0.998334i | \(0.518378\pi\) | |||||||
\(374\) | 17.3650 | + | 14.5710i | 0.897923 | + | 0.753447i | ||||
\(375\) | −2.69601 | − | 1.99294i | −0.139221 | − | 0.102915i | ||||
\(376\) | 3.87357 | + | 1.40986i | 0.199764 | + | 0.0727082i | ||||
\(377\) | −20.8854 | −1.07565 | ||||||||
\(378\) | 7.97229 | − | 11.2001i | 0.410050 | − | 0.576072i | ||||
\(379\) | −3.19239 | −0.163982 | −0.0819910 | − | 0.996633i | \(-0.526128\pi\) | ||||
−0.0819910 | + | 0.996633i | \(0.526128\pi\) | |||||||
\(380\) | −0.954111 | − | 0.347268i | −0.0489449 | − | 0.0178145i | ||||
\(381\) | −14.4472 | + | 6.29007i | −0.740150 | + | 0.322250i | ||||
\(382\) | 2.60459 | + | 2.18551i | 0.133262 | + | 0.111820i | ||||
\(383\) | 32.4190 | − | 11.7995i | 1.65653 | − | 0.602929i | 0.666721 | − | 0.745308i | \(-0.267697\pi\) |
0.989812 | + | 0.142379i | \(0.0454752\pi\) | |||||||
\(384\) | 0.956678 | + | 1.44387i | 0.0488202 | + | 0.0736823i | ||||
\(385\) | −2.36914 | + | 0.164582i | −0.120743 | + | 0.00838789i | ||||
\(386\) | −1.31968 | − | 2.28576i | −0.0671702 | − | 0.116342i | ||||
\(387\) | 32.1709 | − | 16.4309i | 1.63534 | − | 0.835230i | ||||
\(388\) | −8.87138 | −0.450376 | ||||||||
\(389\) | 22.3721 | + | 8.14278i | 1.13431 | + | 0.412855i | 0.839856 | − | 0.542810i | \(-0.182640\pi\) |
0.294455 | + | 0.955665i | \(0.404862\pi\) | |||||||
\(390\) | 1.66657 | + | 0.492788i | 0.0843900 | + | 0.0249533i | ||||
\(391\) | −4.58826 | + | 26.0213i | −0.232038 | + | 1.31595i | ||||
\(392\) | −4.30460 | − | 5.52000i | −0.217415 | − | 0.278802i | ||||
\(393\) | −5.53143 | − | 1.63559i | −0.279024 | − | 0.0825046i | ||||
\(394\) | 0.566749 | + | 3.21419i | 0.0285524 | + | 0.161929i | ||||
\(395\) | 1.15391 | 0.0580596 | ||||||||
\(396\) | −4.06479 | − | 13.2497i | −0.204263 | − | 0.665823i | ||||
\(397\) | 10.5520 | 0.529590 | 0.264795 | − | 0.964305i | \(-0.414696\pi\) | ||||
0.264795 | + | 0.964305i | \(0.414696\pi\) | |||||||
\(398\) | −10.0550 | − | 3.65972i | −0.504012 | − | 0.183445i | ||||
\(399\) | −1.04395 | + | 23.9243i | −0.0522626 | + | 1.19771i | ||||
\(400\) | −3.80130 | − | 3.18967i | −0.190065 | − | 0.159484i | ||||
\(401\) | 3.25473 | − | 18.4585i | 0.162533 | − | 0.921773i | −0.789038 | − | 0.614345i | \(-0.789420\pi\) |
0.951571 | − | 0.307428i | \(-0.0994685\pi\) | |||||||
\(402\) | 2.53484 | − | 22.3436i | 0.126426 | − | 1.11440i | ||||
\(403\) | 29.2591 | − | 24.5513i | 1.45750 | − | 1.22299i | ||||
\(404\) | −8.59468 | + | 14.8864i | −0.427601 | + | 0.740627i | ||||
\(405\) | 1.73946 | + | 0.179441i | 0.0864344 | + | 0.00891651i | ||||
\(406\) | −1.12334 | + | 10.6412i | −0.0557504 | + | 0.528116i | ||||
\(407\) | 7.17398 | + | 40.6856i | 0.355601 | + | 2.01671i | ||||
\(408\) | −7.79240 | + | 3.39269i | −0.385781 | + | 0.167963i | ||||
\(409\) | −5.01829 | − | 4.21084i | −0.248138 | − | 0.208213i | 0.510232 | − | 0.860037i | \(-0.329560\pi\) |
−0.758370 | + | 0.651824i | \(0.774004\pi\) | |||||||
\(410\) | −0.148976 | + | 0.844886i | −0.00735741 | + | 0.0417259i | ||||
\(411\) | 8.85201 | + | 13.3600i | 0.436637 | + | 0.658998i | ||||
\(412\) | 0.716095 | + | 0.260637i | 0.0352795 | + | 0.0128407i | ||||
\(413\) | 1.20485 | − | 11.4133i | 0.0592866 | − | 0.561614i | ||||
\(414\) | 11.0060 | − | 11.8253i | 0.540916 | − | 0.581181i | ||||
\(415\) | 0.696701 | + | 1.20672i | 0.0341997 | + | 0.0592356i | ||||
\(416\) | 4.85265 | + | 1.76622i | 0.237921 | + | 0.0865961i | ||||
\(417\) | 3.83099 | + | 15.9235i | 0.187605 | + | 0.779777i | ||||
\(418\) | 18.4933 | + | 15.5177i | 0.904536 | + | 0.758996i | ||||
\(419\) | 1.56895 | − | 8.89798i | 0.0766484 | − | 0.434695i | −0.922200 | − | 0.386714i | \(-0.873610\pi\) |
0.998848 | − | 0.0479810i | \(-0.0152787\pi\) | |||||||
\(420\) | 0.340716 | − | 0.822621i | 0.0166252 | − | 0.0401398i | ||||
\(421\) | 5.74301 | − | 4.81896i | 0.279897 | − | 0.234862i | −0.492021 | − | 0.870583i | \(-0.663742\pi\) |
0.771919 | + | 0.635721i | \(0.219297\pi\) | |||||||
\(422\) | 10.3676 | + | 17.9573i | 0.504689 | + | 0.874146i | ||||
\(423\) | 11.0132 | − | 5.62487i | 0.535482 | − | 0.273491i | ||||
\(424\) | 3.60328 | − | 6.24106i | 0.174991 | − | 0.303093i | ||||
\(425\) | 18.6525 | − | 15.6513i | 0.904777 | − | 0.759198i | ||||
\(426\) | −8.02924 | − | 12.1182i | −0.389018 | − | 0.587129i | ||||
\(427\) | −14.6166 | + | 14.1022i | −0.707345 | + | 0.682452i | ||||
\(428\) | 12.4396 | − | 4.52766i | 0.601292 | − | 0.218853i | ||||
\(429\) | −33.2280 | − | 24.5627i | −1.60426 | − | 1.18590i | ||||
\(430\) | 1.79225 | − | 1.50388i | 0.0864300 | − | 0.0725234i | ||||
\(431\) | 9.43335 | + | 16.3390i | 0.454388 | + | 0.787024i | 0.998653 | − | 0.0518899i | \(-0.0165245\pi\) |
−0.544264 | + | 0.838914i | \(0.683191\pi\) | |||||||
\(432\) | 5.12612 | + | 0.850216i | 0.246631 | + | 0.0409060i | ||||
\(433\) | 30.3589 | 1.45896 | 0.729478 | − | 0.684004i | \(-0.239763\pi\) | ||||
0.729478 | + | 0.684004i | \(0.239763\pi\) | |||||||
\(434\) | −10.9353 | − | 16.2282i | −0.524912 | − | 0.778979i | ||||
\(435\) | −1.24792 | + | 0.543326i | −0.0598333 | + | 0.0260505i | ||||
\(436\) | −0.964898 | + | 5.47221i | −0.0462102 | + | 0.262071i | ||||
\(437\) | −4.88638 | + | 27.7120i | −0.233747 | + | 1.32565i | ||||
\(438\) | 3.98362 | + | 6.01230i | 0.190345 | + | 0.287279i | ||||
\(439\) | −5.73565 | + | 4.81279i | −0.273748 | + | 0.229702i | −0.769318 | − | 0.638866i | \(-0.779404\pi\) |
0.495570 | + | 0.868568i | \(0.334959\pi\) | |||||||
\(440\) | −0.448805 | − | 0.777352i | −0.0213959 | − | 0.0370588i | ||||
\(441\) | −20.9202 | − | 1.82920i | −0.996199 | − | 0.0871048i | ||||
\(442\) | −12.6697 | + | 21.9446i | −0.602637 | + | 1.04380i | ||||
\(443\) | −6.71785 | − | 38.0988i | −0.319175 | − | 1.81013i | −0.547794 | − | 0.836614i | \(-0.684532\pi\) |
0.228619 | − | 0.973516i | \(-0.426579\pi\) | |||||||
\(444\) | −14.8536 | − | 4.39207i | −0.704921 | − | 0.208438i | ||||
\(445\) | 1.46870 | − | 0.534565i | 0.0696233 | − | 0.0253408i | ||||
\(446\) | −4.95106 | − | 4.15443i | −0.234439 | − | 0.196718i | ||||
\(447\) | −9.96091 | + | 9.46166i | −0.471135 | + | 0.447521i | ||||
\(448\) | 1.16090 | − | 2.37746i | 0.0548476 | − | 0.112324i | ||||
\(449\) | 1.03306 | − | 1.78931i | 0.0487529 | − | 0.0844426i | −0.840619 | − | 0.541627i | \(-0.817809\pi\) |
0.889372 | + | 0.457184i | \(0.151142\pi\) | |||||||
\(450\) | −14.7740 | + | 1.82845i | −0.696454 | + | 0.0861940i | ||||
\(451\) | 10.1991 | − | 17.6654i | 0.480258 | − | 0.831832i | ||||
\(452\) | −3.02222 | − | 17.1399i | −0.142153 | − | 0.806191i | ||||
\(453\) | −4.73051 | + | 9.49937i | −0.222259 | + | 0.446319i | ||||
\(454\) | 4.72916 | + | 3.96823i | 0.221950 | + | 0.186238i | ||||
\(455\) | −0.641053 | − | 2.57612i | −0.0300530 | − | 0.120770i | ||||
\(456\) | −8.29871 | + | 3.61313i | −0.388622 | + | 0.169200i | ||||
\(457\) | −10.6297 | − | 3.86890i | −0.497237 | − | 0.180979i | 0.0812141 | − | 0.996697i | \(-0.474120\pi\) |
−0.578451 | + | 0.815717i | \(0.696342\pi\) | |||||||
\(458\) | −8.18635 | − | 14.1792i | −0.382523 | − | 0.662549i | ||||
\(459\) | −8.47631 | + | 24.0466i | −0.395640 | + | 1.12240i | ||||
\(460\) | 0.523136 | − | 0.906097i | 0.0243913 | − | 0.0422470i | ||||
\(461\) | −0.284378 | − | 1.61279i | −0.0132448 | − | 0.0751151i | 0.977469 | − | 0.211079i | \(-0.0676979\pi\) |
−0.990714 | + | 0.135964i | \(0.956587\pi\) | |||||||
\(462\) | −14.3020 | + | 15.6087i | −0.665391 | + | 0.726184i | ||||
\(463\) | −14.4848 | + | 5.27205i | −0.673168 | + | 0.245013i | −0.655911 | − | 0.754838i | \(-0.727715\pi\) |
−0.0172565 | + | 0.999851i | \(0.505493\pi\) | |||||||
\(464\) | −3.80045 | + | 1.38325i | −0.176432 | + | 0.0642159i | ||||
\(465\) | 1.10957 | − | 2.22813i | 0.0514549 | − | 0.103327i | ||||
\(466\) | −0.801683 | − | 4.54657i | −0.0371372 | − | 0.210616i | ||||
\(467\) | −6.85963 | −0.317426 | −0.158713 | − | 0.987325i | \(-0.550734\pi\) | ||||
−0.158713 | + | 0.987325i | \(0.550734\pi\) | |||||||
\(468\) | 13.7969 | − | 7.04662i | 0.637763 | − | 0.325730i | ||||
\(469\) | −31.3860 | + | 13.9568i | −1.44927 | + | 0.644467i | ||||
\(470\) | 0.613550 | − | 0.514830i | 0.0283009 | − | 0.0237473i | ||||
\(471\) | −4.85201 | − | 1.43469i | −0.223569 | − | 0.0661072i | ||||
\(472\) | 4.07621 | − | 1.48362i | 0.187623 | − | 0.0682890i | ||||
\(473\) | −52.2730 | + | 19.0258i | −2.40352 | + | 0.874808i | ||||
\(474\) | 7.45808 | − | 7.08427i | 0.342561 | − | 0.325391i | ||||
\(475\) | 19.8644 | − | 16.6682i | 0.911441 | − | 0.764790i | ||||
\(476\) | 10.4995 | + | 7.63561i | 0.481242 | + | 0.349977i | ||||
\(477\) | −6.34087 | − | 20.6689i | −0.290329 | − | 0.946365i | ||||
\(478\) | 4.04097 | 0.184830 | ||||||||
\(479\) | −4.41900 | − | 25.0614i | −0.201909 | − | 1.14509i | −0.902230 | − | 0.431256i | \(-0.858071\pi\) |
0.700320 | − | 0.713829i | \(-0.253041\pi\) | |||||||
\(480\) | 0.335898 | − | 0.0207066i | 0.0153316 | − | 0.000945122i | ||||
\(481\) | −43.3962 | + | 15.7949i | −1.97870 | + | 0.720187i | ||||
\(482\) | 22.2754 | − | 8.10759i | 1.01462 | − | 0.369291i | ||||
\(483\) | −24.0917 | − | 5.34036i | −1.09621 | − | 0.242995i | ||||
\(484\) | 1.79586 | + | 10.1848i | 0.0816300 | + | 0.462947i | ||||
\(485\) | −0.861849 | + | 1.49277i | −0.0391346 | + | 0.0677830i | ||||
\(486\) | 12.3443 | − | 9.51937i | 0.559949 | − | 0.431807i | ||||
\(487\) | −3.74032 | − | 6.47842i | −0.169490 | − | 0.293565i | 0.768751 | − | 0.639549i | \(-0.220879\pi\) |
−0.938241 | + | 0.345983i | \(0.887545\pi\) | |||||||
\(488\) | −7.21368 | − | 2.62556i | −0.326548 | − | 0.118854i | ||||
\(489\) | −16.6077 | − | 12.2767i | −0.751028 | − | 0.555173i | ||||
\(490\) | −1.34703 | + | 0.188061i | −0.0608525 | + | 0.00849574i | ||||
\(491\) | 2.79606 | + | 2.34618i | 0.126185 | + | 0.105881i | 0.703696 | − | 0.710501i | \(-0.251532\pi\) |
−0.577511 | + | 0.816383i | \(0.695976\pi\) | |||||||
\(492\) | 4.22417 | + | 6.37537i | 0.190440 | + | 0.287424i | ||||
\(493\) | −3.44607 | − | 19.5436i | −0.155203 | − | 0.880200i | ||||
\(494\) | −13.4929 | + | 23.3704i | −0.607076 | + | 1.05149i | ||||
\(495\) | −2.62439 | − | 0.603230i | −0.117958 | − | 0.0271132i | ||||
\(496\) | 3.69814 | − | 6.40537i | 0.166052 | − | 0.287610i | ||||
\(497\) | −9.74329 | + | 19.9536i | −0.437046 | + | 0.895042i | ||||
\(498\) | 11.9115 | + | 3.52211i | 0.533766 | + | 0.157829i | ||||
\(499\) | 10.1215 | + | 8.49293i | 0.453100 | + | 0.380196i | 0.840585 | − | 0.541680i | \(-0.182212\pi\) |
−0.387485 | + | 0.921876i | \(0.626656\pi\) | |||||||
\(500\) | −1.81892 | + | 0.662033i | −0.0813445 | + | 0.0296070i | ||||
\(501\) | 5.27072 | − | 5.00655i | 0.235478 | − | 0.223676i | ||||
\(502\) | 4.17393 | + | 23.6715i | 0.186292 | + | 1.05651i | ||||
\(503\) | −0.209877 | + | 0.363518i | −0.00935797 | + | 0.0162085i | −0.870666 | − | 0.491874i | \(-0.836312\pi\) |
0.861308 | + | 0.508082i | \(0.169645\pi\) | |||||||
\(504\) | −2.84821 | − | 7.40862i | −0.126869 | − | 0.330006i | ||||
\(505\) | 1.66994 | + | 2.89241i | 0.0743112 | + | 0.128711i | ||||
\(506\) | −19.0566 | + | 15.9904i | −0.847168 | + | 0.710859i | ||||
\(507\) | 10.5528 | − | 21.1911i | 0.468666 | − | 0.941131i | ||||
\(508\) | −1.57974 | + | 8.95914i | −0.0700895 | + | 0.397497i | ||||
\(509\) | −6.48328 | + | 36.7685i | −0.287366 | + | 1.62974i | 0.409342 | + | 0.912381i | \(0.365758\pi\) |
−0.696708 | + | 0.717354i | \(0.745353\pi\) | |||||||
\(510\) | −0.186147 | + | 1.64081i | −0.00824273 | + | 0.0726562i | ||||
\(511\) | 4.83402 | − | 9.89976i | 0.213844 | − | 0.437940i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −9.02706 | + | 25.6090i | −0.398554 | + | 1.13067i | ||||
\(514\) | −2.61769 | − | 4.53397i | −0.115461 | − | 0.199985i | ||||
\(515\) | 0.113425 | − | 0.0951750i | 0.00499811 | − | 0.00419391i | ||||
\(516\) | 2.35102 | − | 20.7233i | 0.103498 | − | 0.912291i | ||||
\(517\) | −17.8949 | + | 6.51320i | −0.787015 | + | 0.286450i | ||||
\(518\) | 5.71351 | + | 22.9602i | 0.251037 | + | 1.00881i | ||||
\(519\) | −7.80745 | + | 0.481294i | −0.342709 | + | 0.0211264i | ||||
\(520\) | 0.768631 | − | 0.644958i | 0.0337067 | − | 0.0282833i | ||||
\(521\) | 21.3864 | − | 37.0423i | 0.936953 | − | 1.62285i | 0.165840 | − | 0.986153i | \(-0.446966\pi\) |
0.771113 | − | 0.636698i | \(-0.219700\pi\) | |||||||
\(522\) | −4.73002 | + | 11.1731i | −0.207028 | + | 0.489034i | ||||
\(523\) | −13.6151 | − | 23.5821i | −0.595347 | − | 1.03117i | −0.993498 | − | 0.113852i | \(-0.963681\pi\) |
0.398150 | − | 0.917320i | \(-0.369652\pi\) | |||||||
\(524\) | −2.55113 | + | 2.14065i | −0.111446 | + | 0.0935147i | ||||
\(525\) | 13.8436 | + | 18.0404i | 0.604185 | + | 0.787348i | ||||
\(526\) | 0.977554 | − | 5.54398i | 0.0426234 | − | 0.241729i | ||||
\(527\) | 27.8017 | + | 23.3284i | 1.21106 | + | 1.01620i | ||||
\(528\) | −7.67320 | − | 2.26889i | −0.333933 | − | 0.0987408i | ||||
\(529\) | −5.63501 | − | 2.05098i | −0.245001 | − | 0.0891729i | ||||
\(530\) | −0.700113 | − | 1.21263i | −0.0304110 | − | 0.0526734i | ||||
\(531\) | 5.07322 | − | 11.9838i | 0.220159 | − | 0.520053i | ||||
\(532\) | 11.1816 | + | 8.13172i | 0.484786 | + | 0.352555i | ||||
\(533\) | 21.4267 | + | 7.79869i | 0.928094 | + | 0.337799i | ||||
\(534\) | 6.21080 | − | 12.4719i | 0.268767 | − | 0.539714i | ||||
\(535\) | 0.446645 | − | 2.53305i | 0.0193101 | − | 0.109513i | ||||
\(536\) | −9.94542 | − | 8.34520i | −0.429577 | − | 0.360458i | ||||
\(537\) | 3.83214 | − | 33.7787i | 0.165369 | − | 1.45766i | ||||
\(538\) | −0.224348 | − | 1.27234i | −0.00967231 | − | 0.0548544i | ||||
\(539\) | 31.6253 | + | 6.75229i | 1.36220 | + | 0.290842i | ||||
\(540\) | 0.641064 | − | 0.779963i | 0.0275870 | − | 0.0335643i | ||||
\(541\) | −8.82208 | + | 15.2803i | −0.379291 | + | 0.656951i | −0.990959 | − | 0.134163i | \(-0.957165\pi\) |
0.611668 | + | 0.791114i | \(0.290499\pi\) | |||||||
\(542\) | −5.43859 | + | 4.56352i | −0.233608 | + | 0.196020i | ||||
\(543\) | 12.8230 | − | 5.58293i | 0.550287 | − | 0.239587i | ||||
\(544\) | −0.852067 | + | 4.83231i | −0.0365321 | + | 0.207184i | ||||
\(545\) | 0.827057 | + | 0.693983i | 0.0354272 | + | 0.0297270i | ||||
\(546\) | −19.9590 | − | 12.7146i | −0.854168 | − | 0.544134i | ||||
\(547\) | 12.2415 | + | 4.45553i | 0.523408 | + | 0.190505i | 0.590192 | − | 0.807263i | \(-0.299052\pi\) |
−0.0667847 | + | 0.997767i | \(0.521274\pi\) | |||||||
\(548\) | 9.25286 | 0.395263 | ||||||||
\(549\) | −20.5097 | + | 10.4751i | −0.875334 | + | 0.447066i | ||||
\(550\) | 22.9243 | 0.977494 | ||||||||
\(551\) | −3.66997 | − | 20.8134i | −0.156346 | − | 0.886683i | ||||
\(552\) | −2.18167 | − | 9.06809i | −0.0928580 | − | 0.385964i | ||||
\(553\) | −15.1021 | − | 4.33789i | −0.642205 | − | 0.184466i | ||||
\(554\) | −1.80074 | + | 10.2125i | −0.0765063 | + | 0.433889i | ||||
\(555\) | −2.18206 | + | 2.07270i | −0.0926235 | + | 0.0879811i | ||||
\(556\) | 8.88551 | + | 3.23406i | 0.376829 | + | 0.137155i | ||||
\(557\) | 31.1171 | 1.31847 | 0.659237 | − | 0.751935i | \(-0.270879\pi\) | ||||
0.659237 | + | 0.751935i | \(0.270879\pi\) | |||||||
\(558\) | −6.50781 | − | 21.2131i | −0.275497 | − | 0.898021i | ||||
\(559\) | −31.0912 | − | 53.8516i | −1.31502 | − | 2.27768i | ||||
\(560\) | −0.287268 | − | 0.426311i | −0.0121393 | − | 0.0180149i | ||||
\(561\) | 17.5021 | − | 35.1461i | 0.738938 | − | 1.48387i | ||||
\(562\) | −0.874117 | + | 0.318153i | −0.0368724 | + | 0.0134205i | ||||
\(563\) | 33.4016 | + | 28.0273i | 1.40771 | + | 1.18121i | 0.957552 | + | 0.288259i | \(0.0930764\pi\) |
0.450157 | + | 0.892949i | \(0.351368\pi\) | |||||||
\(564\) | 0.804836 | − | 7.09430i | 0.0338897 | − | 0.298724i | ||||
\(565\) | −3.17769 | − | 1.15659i | −0.133687 | − | 0.0486579i | ||||
\(566\) | −7.01181 | −0.294728 | ||||||||
\(567\) | −22.0910 | − | 8.88761i | −0.927733 | − | 0.373244i | ||||
\(568\) | −8.39284 | −0.352156 | ||||||||
\(569\) | −31.1630 | − | 11.3424i | −1.30642 | − | 0.475499i | −0.407339 | − | 0.913277i | \(-0.633543\pi\) |
−0.899083 | + | 0.437779i | \(0.855765\pi\) | |||||||
\(570\) | −0.198242 | + | 1.74742i | −0.00830343 | + | 0.0731913i | ||||
\(571\) | 9.97506 | + | 8.37007i | 0.417443 | + | 0.350277i | 0.827190 | − | 0.561923i | \(-0.189938\pi\) |
−0.409746 | + | 0.912200i | \(0.634383\pi\) | |||||||
\(572\) | −22.4180 | + | 8.15948i | −0.937343 | + | 0.341165i | ||||
\(573\) | 2.62515 | − | 5.27158i | 0.109667 | − | 0.220224i | ||||
\(574\) | 5.12593 | − | 10.4976i | 0.213952 | − | 0.438160i | ||||
\(575\) | 13.3605 | + | 23.1410i | 0.557171 | + | 0.965048i | ||||
\(576\) | 2.04388 | − | 2.19603i | 0.0851618 | − | 0.0915012i | ||||
\(577\) | 6.28127 | 0.261493 | 0.130746 | − | 0.991416i | \(-0.458263\pi\) | ||||
0.130746 | + | 0.991416i | \(0.458263\pi\) | |||||||
\(578\) | −6.65047 | − | 2.42057i | −0.276623 | − | 0.100683i | ||||
\(579\) | −3.31455 | + | 3.14842i | −0.137748 | + | 0.130844i | ||||
\(580\) | −0.136455 | + | 0.773876i | −0.00566600 | + | 0.0321335i | ||||
\(581\) | −4.58180 | − | 18.4123i | −0.190085 | − | 0.763871i | ||||
\(582\) | 3.59423 | + | 14.9394i | 0.148986 | + | 0.619258i | ||||
\(583\) | 5.78116 | + | 32.7866i | 0.239431 | + | 1.35788i | ||||
\(584\) | 4.16401 | 0.172308 | ||||||||
\(585\) | 0.154646 | − | 3.00615i | 0.00639382 | − | 0.124289i | ||||
\(586\) | 22.4853 | 0.928858 | ||||||||
\(587\) | 27.0214 | + | 9.83500i | 1.11529 | + | 0.405934i | 0.832933 | − | 0.553374i | \(-0.186660\pi\) |
0.282361 | + | 0.959308i | \(0.408882\pi\) | |||||||
\(588\) | −7.55167 | + | 9.48537i | −0.311426 | + | 0.391170i | ||||
\(589\) | 29.6081 | + | 24.8442i | 1.21998 | + | 1.02369i | ||||
\(590\) | 0.146356 | − | 0.830027i | 0.00602538 | − | 0.0341717i | ||||
\(591\) | 5.18308 | − | 2.25663i | 0.213203 | − | 0.0928255i | ||||
\(592\) | −6.85057 | + | 5.74831i | −0.281557 | + | 0.236254i | ||||
\(593\) | 4.87366 | − | 8.44142i | 0.200137 | − | 0.346648i | −0.748435 | − | 0.663208i | \(-0.769195\pi\) |
0.948572 | + | 0.316560i | \(0.102528\pi\) | |||||||
\(594\) | −20.6657 | + | 12.2132i | −0.847923 | + | 0.501114i | ||||
\(595\) | 2.30484 | − | 1.02492i | 0.0944893 | − | 0.0420178i | ||||
\(596\) | 1.37735 | + | 7.81135i | 0.0564185 | + | 0.319965i | ||||
\(597\) | −2.08919 | + | 18.4154i | −0.0855050 | + | 0.753691i | ||||
\(598\) | −21.3021 | − | 17.8745i | −0.871106 | − | 0.730944i | ||||
\(599\) | −5.14886 | + | 29.2006i | −0.210377 | + | 1.19311i | 0.678375 | + | 0.734716i | \(0.262685\pi\) |
−0.888751 | + | 0.458390i | \(0.848426\pi\) | |||||||
\(600\) | −3.83131 | + | 7.69368i | −0.156413 | + | 0.314093i | ||||
\(601\) | 11.8191 | + | 4.30182i | 0.482113 | + | 0.175475i | 0.571632 | − | 0.820510i | \(-0.306311\pi\) |
−0.0895186 | + | 0.995985i | \(0.528533\pi\) | |||||||
\(602\) | −29.1100 | + | 12.9447i | −1.18643 | + | 0.527587i | ||||
\(603\) | −38.6536 | + | 4.78381i | −1.57409 | + | 0.194812i | ||||
\(604\) | 3.06344 | + | 5.30603i | 0.124649 | + | 0.215899i | ||||
\(605\) | 1.88825 | + | 0.687265i | 0.0767681 | + | 0.0279413i | ||||
\(606\) | 28.5509 | + | 8.44221i | 1.15980 | + | 0.342941i | ||||
\(607\) | 15.4894 | + | 12.9972i | 0.628696 | + | 0.527539i | 0.900524 | − | 0.434807i | \(-0.143184\pi\) |
−0.271827 | + | 0.962346i | \(0.587628\pi\) | |||||||
\(608\) | −0.907430 | + | 5.14629i | −0.0368011 | + | 0.208710i | ||||
\(609\) | 18.3750 | − | 2.41959i | 0.744591 | − | 0.0980466i | ||||
\(610\) | −1.14260 | + | 0.958757i | −0.0462626 | + | 0.0388190i | ||||
\(611\) | −10.6436 | − | 18.4353i | −0.430595 | − | 0.745812i | ||||
\(612\) | 8.87037 | + | 11.7479i | 0.358564 | + | 0.474879i | ||||
\(613\) | −12.1644 | + | 21.0693i | −0.491315 | + | 0.850982i | −0.999950 | − | 0.0100001i | \(-0.996817\pi\) |
0.508635 | + | 0.860982i | \(0.330150\pi\) | |||||||
\(614\) | 4.59153 | − | 3.85276i | 0.185299 | − | 0.155485i | ||||
\(615\) | 1.48314 | − | 0.0914291i | 0.0598062 | − | 0.00368678i | ||||
\(616\) | 2.95153 | + | 11.8609i | 0.118921 | + | 0.477891i | ||||
\(617\) | 31.1297 | − | 11.3303i | 1.25324 | − | 0.456141i | 0.371742 | − | 0.928336i | \(-0.378761\pi\) |
0.881494 | + | 0.472195i | \(0.156538\pi\) | |||||||
\(618\) | 0.148788 | − | 1.31150i | 0.00598512 | − | 0.0527563i | ||||
\(619\) | −11.7647 | + | 9.87177i | −0.472864 | + | 0.396780i | −0.847838 | − | 0.530255i | \(-0.822096\pi\) |
0.374974 | + | 0.927035i | \(0.377652\pi\) | |||||||
\(620\) | −0.718545 | − | 1.24456i | −0.0288575 | − | 0.0499826i | ||||
\(621\) | −24.3729 | − | 13.7431i | −0.978049 | − | 0.551492i | ||||
\(622\) | −22.0767 | −0.885196 | ||||||||
\(623\) | −21.2316 | + | 1.47494i | −0.850625 | + | 0.0590922i | ||||
\(624\) | 1.00827 | − | 8.88745i | 0.0403630 | − | 0.355783i | ||||
\(625\) | 4.24312 | − | 24.0639i | 0.169725 | − | 0.962557i | ||||
\(626\) | −0.387063 | + | 2.19514i | −0.0154701 | + | 0.0877355i | ||||
\(627\) | 18.6393 | − | 37.4297i | 0.744380 | − | 1.49480i | ||||
\(628\) | −2.23778 | + | 1.87772i | −0.0892970 | + | 0.0749291i | ||||
\(629\) | −21.9405 | − | 38.0021i | −0.874825 | − | 1.51524i | ||||
\(630\) | −1.52333 | − | 0.240481i | −0.0606911 | − | 0.00958101i | ||||
\(631\) | −7.34071 | + | 12.7145i | −0.292229 | + | 0.506155i | −0.974336 | − | 0.225096i | \(-0.927730\pi\) |
0.682108 | + | 0.731252i | \(0.261064\pi\) | |||||||
\(632\) | −1.03127 | − | 5.84863i | −0.0410217 | − | 0.232646i | ||||
\(633\) | 26.0396 | − | 24.7345i | 1.03498 | − | 0.983107i | ||||
\(634\) | −9.30464 | + | 3.38661i | −0.369535 | + | 0.134500i | ||||
\(635\) | 1.35406 | + | 1.13619i | 0.0537344 | + | 0.0450885i | ||||
\(636\) | −11.9698 | − | 3.53936i | −0.474634 | − | 0.140345i | ||||
\(637\) | −1.29448 | + | 36.1254i | −0.0512890 | + | 1.43134i | ||||
\(638\) | 9.34193 | − | 16.1807i | 0.369851 | − | 0.640600i | ||||
\(639\) | −17.1540 | + | 18.4309i | −0.678601 | + | 0.729116i | ||||
\(640\) | 0.0971494 | − | 0.168268i | 0.00384017 | − | 0.00665137i | ||||
\(641\) | 0.582641 | + | 3.30432i | 0.0230129 | + | 0.130513i | 0.994150 | − | 0.108010i | \(-0.0344479\pi\) |
−0.971137 | + | 0.238523i | \(0.923337\pi\) | |||||||
\(642\) | −12.6645 | − | 19.1140i | −0.499827 | − | 0.754368i | ||||
\(643\) | −15.5818 | − | 13.0746i | −0.614484 | − | 0.515614i | 0.281580 | − | 0.959538i | \(-0.409142\pi\) |
−0.896064 | + | 0.443924i | \(0.853586\pi\) | |||||||
\(644\) | −10.2529 | + | 9.89212i | −0.404022 | + | 0.389804i | ||||
\(645\) | −3.25866 | − | 2.40885i | −0.128310 | − | 0.0948486i | ||||
\(646\) | −24.0953 | − | 8.76997i | −0.948017 | − | 0.345050i | ||||
\(647\) | 8.36839 | + | 14.4945i | 0.328995 | + | 0.569836i | 0.982313 | − | 0.187248i | \(-0.0599567\pi\) |
−0.653318 | + | 0.757084i | \(0.726623\pi\) | |||||||
\(648\) | −0.645082 | − | 8.97685i | −0.0253412 | − | 0.352644i | ||||
\(649\) | −10.0198 | + | 17.3547i | −0.393310 | + | 0.681233i | ||||
\(650\) | 4.44982 | + | 25.2362i | 0.174536 | + | 0.989844i | ||||
\(651\) | −22.8979 | + | 24.9899i | −0.897438 | + | 0.979432i | ||||
\(652\) | −11.2048 | + | 4.07820i | −0.438812 | + | 0.159715i | ||||
\(653\) | −5.44508 | + | 1.98185i | −0.213082 | + | 0.0775556i | −0.446356 | − | 0.894856i | \(-0.647278\pi\) |
0.233274 | + | 0.972411i | \(0.425056\pi\) | |||||||
\(654\) | 9.60613 | − | 0.592174i | 0.375629 | − | 0.0231558i | ||||
\(655\) | 0.112362 | + | 0.637235i | 0.00439034 | + | 0.0248988i | ||||
\(656\) | 4.41546 | 0.172395 | ||||||||
\(657\) | 8.51076 | − | 9.14429i | 0.332036 | − | 0.356753i | ||||
\(658\) | −9.96536 | + | 4.43143i | −0.388490 | + | 0.172755i | ||||
\(659\) | −17.9962 | + | 15.1006i | −0.701032 | + | 0.588236i | −0.922067 | − | 0.387030i | \(-0.873501\pi\) |
0.221035 | + | 0.975266i | \(0.429057\pi\) | |||||||
\(660\) | −1.12723 | + | 1.07073i | −0.0438773 | + | 0.0416781i | ||||
\(661\) | −20.2055 | + | 7.35420i | −0.785903 | + | 0.286045i | −0.703632 | − | 0.710565i | \(-0.748440\pi\) |
−0.0822711 | + | 0.996610i | \(0.526217\pi\) | |||||||
\(662\) | 25.8331 | − | 9.40249i | 1.00403 | − | 0.365438i | ||||
\(663\) | 42.0878 | + | 12.4450i | 1.63456 | + | 0.483323i | ||||
\(664\) | 5.49364 | − | 4.60971i | 0.213194 | − | 0.178891i | ||||
\(665\) | 2.45460 | − | 1.09152i | 0.0951852 | − | 0.0423273i | ||||
\(666\) | −1.37831 | + | 26.7929i | −0.0534085 | + | 1.03820i | ||||
\(667\) | 21.7783 | 0.843259 | ||||||||
\(668\) | −0.728812 | − | 4.13330i | −0.0281986 | − | 0.159922i | ||||
\(669\) | −4.99014 | + | 10.0207i | −0.192930 | + | 0.387424i | ||||
\(670\) | −2.37042 | + | 0.862762i | −0.0915773 | + | 0.0333314i | ||||
\(671\) | 33.3253 | − | 12.1294i | 1.28651 | − | 0.468251i | ||||
\(672\) | −4.47398 | − | 0.991737i | −0.172587 | − | 0.0382571i | ||||
\(673\) | −1.38186 | − | 7.83694i | −0.0532669 | − | 0.302092i | 0.946522 | − | 0.322639i | \(-0.104570\pi\) |
−0.999789 | + | 0.0205476i | \(0.993459\pi\) | |||||||
\(674\) | 11.7100 | − | 20.2822i | 0.451050 | − | 0.781242i | ||||
\(675\) | 9.06480 | + | 24.1387i | 0.348904 | + | 0.929097i | ||||
\(676\) | −6.83390 | − | 11.8367i | −0.262842 | − | 0.455256i | ||||
\(677\) | 19.7541 | + | 7.18992i | 0.759214 | + | 0.276331i | 0.692477 | − | 0.721440i | \(-0.256519\pi\) |
0.0667361 | + | 0.997771i | \(0.478741\pi\) | |||||||
\(678\) | −27.6391 | + | 12.0336i | −1.06147 | + | 0.462148i | ||||
\(679\) | 16.8914 | − | 16.2970i | 0.648232 | − | 0.625420i | ||||
\(680\) | 0.730345 | + | 0.612832i | 0.0280074 | + | 0.0235010i | ||||
\(681\) | 4.76649 | − | 9.57163i | 0.182652 | − | 0.366785i | ||||
\(682\) | 5.93337 | + | 33.6498i | 0.227200 | + | 1.28852i | ||||
\(683\) | 3.30954 | − | 5.73229i | 0.126636 | − | 0.219340i | −0.795735 | − | 0.605645i | \(-0.792915\pi\) |
0.922371 | + | 0.386305i | \(0.126249\pi\) | |||||||
\(684\) | 9.44672 | + | 12.5112i | 0.361204 | + | 0.478376i | ||||
\(685\) | 0.898910 | − | 1.55696i | 0.0343456 | − | 0.0594883i | ||||
\(686\) | 18.3365 | + | 2.60258i | 0.700090 | + | 0.0993669i | ||||
\(687\) | −20.5610 | + | 19.5305i | −0.784452 | + | 0.745135i | ||||
\(688\) | −9.22420 | − | 7.74002i | −0.351669 | − | 0.295085i | ||||
\(689\) | −34.9709 | + | 12.7284i | −1.33229 | + | 0.484913i | ||||
\(690\) | −1.73782 | − | 0.513855i | −0.0661575 | − | 0.0195621i | ||||
\(691\) | 4.26210 | + | 24.1716i | 0.162138 | + | 0.919530i | 0.951966 | + | 0.306202i | \(0.0990584\pi\) |
−0.789828 | + | 0.613328i | \(0.789830\pi\) | |||||||
\(692\) | −2.25809 | + | 3.91113i | −0.0858399 | + | 0.148679i | ||||
\(693\) | 32.0796 | + | 17.7608i | 1.21860 | + | 0.674675i | ||||
\(694\) | 3.56152 | + | 6.16873i | 0.135193 | + | 0.234162i | ||||
\(695\) | 1.40741 | − | 1.18096i | 0.0533861 | − | 0.0447963i | ||||
\(696\) | 3.86915 | + | 5.83954i | 0.146660 | + | 0.221347i | ||||
\(697\) | −3.76227 | + | 21.3369i | −0.142506 | + | 0.808193i | ||||
\(698\) | 3.49456 | − | 19.8186i | 0.132271 | − | 0.750146i | ||||
\(699\) | −7.33162 | + | 3.19207i | −0.277307 | + | 0.120735i | ||||
\(700\) | 13.0973 | − | 0.909859i | 0.495032 | − | 0.0343894i | ||||
\(701\) | 13.8025 | 0.521315 | 0.260657 | − | 0.965431i | \(-0.416061\pi\) | ||||
0.260657 | + | 0.965431i | \(0.416061\pi\) | |||||||
\(702\) | −17.4563 | − | 20.3791i | −0.658846 | − | 0.769159i | ||||
\(703\) | −23.3661 | − | 40.4712i | −0.881268 | − | 1.52640i | ||||
\(704\) | −3.53892 | + | 2.96951i | −0.133378 | + | 0.111918i | ||||
\(705\) | −1.11555 | − | 0.824635i | −0.0420141 | − | 0.0310575i | ||||
\(706\) | 32.6050 | − | 11.8673i | 1.22711 | − | 0.446630i | ||||
\(707\) | −10.9822 | − | 44.1329i | −0.413029 | − | 1.65979i | ||||
\(708\) | −4.14988 | − | 6.26324i | −0.155962 | − | 0.235387i | ||||
\(709\) | −19.5001 | + | 16.3626i | −0.732343 | + | 0.614509i | −0.930769 | − | 0.365607i | \(-0.880861\pi\) |
0.198426 | + | 0.980116i | \(0.436417\pi\) | |||||||
\(710\) | −0.815360 | + | 1.41224i | −0.0305999 | + | 0.0530006i | ||||
\(711\) | −14.9515 | − | 9.68921i | −0.560727 | − | 0.363374i | ||||
\(712\) | −4.02206 | − | 6.96641i | −0.150733 | − | 0.261077i | ||||
\(713\) | −30.5100 | + | 25.6009i | −1.14261 | + | 0.958761i | ||||
\(714\) | 8.60451 | − | 20.7746i | 0.322016 | − | 0.777471i | ||||
\(715\) | −0.804917 | + | 4.56491i | −0.0301022 | + | 0.170718i | ||||
\(716\) | −15.0353 | − | 12.6162i | −0.561897 | − | 0.471488i | ||||
\(717\) | −1.63720 | − | 6.80499i | −0.0611422 | − | 0.254137i | ||||
\(718\) | −14.1860 | − | 5.16329i | −0.529418 | − | 0.192692i | ||||
\(719\) | 9.47306 | + | 16.4078i | 0.353285 | + | 0.611908i | 0.986823 | − | 0.161804i | \(-0.0517311\pi\) |
−0.633538 | + | 0.773712i | \(0.718398\pi\) | |||||||
\(720\) | −0.170959 | − | 0.557263i | −0.00637125 | − | 0.0207680i | ||||
\(721\) | −1.84226 | + | 0.819224i | −0.0686095 | + | 0.0305095i | ||||
\(722\) | −7.80671 | − | 2.84141i | −0.290536 | − | 0.105746i | ||||
\(723\) | −22.6781 | − | 34.2270i | −0.843406 | − | 1.27292i | ||||
\(724\) | 1.40214 | − | 7.95194i | 0.0521102 | − | 0.295532i | ||||
\(725\) | −15.3738 | − | 12.9002i | −0.570970 | − | 0.479101i | ||||
\(726\) | 16.4237 | − | 7.15061i | 0.609539 | − | 0.265384i | ||||
\(727\) | 2.22934 | + | 12.6432i | 0.0826816 | + | 0.468911i | 0.997833 | + | 0.0658000i | \(0.0209599\pi\) |
−0.915151 | + | 0.403111i | \(0.867929\pi\) | |||||||
\(728\) | −12.4842 | + | 5.55151i | −0.462695 | + | 0.205753i | ||||
\(729\) | −21.0319 | − | 16.9310i | −0.778959 | − | 0.627075i | ||||
\(730\) | 0.404532 | − | 0.700669i | 0.0149724 | − | 0.0259329i | ||||
\(731\) | 45.2618 | − | 37.9792i | 1.67407 | − | 1.40471i | ||||
\(732\) | −1.49883 | + | 13.2116i | −0.0553984 | + | 0.488314i | ||||
\(733\) | 3.97522 | − | 22.5446i | 0.146828 | − | 0.832704i | −0.819053 | − | 0.573718i | \(-0.805500\pi\) |
0.965881 | − | 0.258986i | \(-0.0833884\pi\) | |||||||
\(734\) | 14.4346 | + | 12.1120i | 0.532790 | + | 0.447064i | ||||
\(735\) | 0.862442 | + | 2.19220i | 0.0318117 | + | 0.0808605i | ||||
\(736\) | −5.06011 | − | 1.84173i | −0.186518 | − | 0.0678870i | ||||
\(737\) | 59.9772 | 2.20929 | ||||||||
\(738\) | 9.02469 | − | 9.69648i | 0.332203 | − | 0.356932i | ||||
\(739\) | −22.0597 | −0.811478 | −0.405739 | − | 0.913989i | \(-0.632986\pi\) | ||||
−0.405739 | + | 0.913989i | \(0.632986\pi\) | |||||||
\(740\) | 0.301726 | + | 1.71117i | 0.0110917 | + | 0.0629040i | ||||
\(741\) | 44.8225 | + | 13.2536i | 1.64659 | + | 0.486882i | ||||
\(742\) | 4.60424 | + | 18.5025i | 0.169027 | + | 0.679248i | ||||
\(743\) | −4.08079 | + | 23.1433i | −0.149709 | + | 0.849045i | 0.813755 | + | 0.581208i | \(0.197420\pi\) |
−0.963464 | + | 0.267836i | \(0.913691\pi\) | |||||||
\(744\) | −12.2849 | − | 3.63254i | −0.450388 | − | 0.133175i | ||||
\(745\) | 1.44821 | + | 0.527104i | 0.0530582 | + | 0.0193116i | ||||
\(746\) | 15.2835 | 0.559570 | ||||||||
\(747\) | 1.10530 | − | 21.4859i | 0.0404409 | − | 0.786127i | ||||
\(748\) | −11.3342 | − | 19.6314i | −0.414419 | − | 0.717795i | ||||
\(749\) | −15.3680 | + | 31.4727i | −0.561535 | + | 1.14999i | ||||
\(750\) | 1.85180 | + | 2.79484i | 0.0676180 | + | 0.102053i | ||||
\(751\) | −8.79404 | + | 3.20077i | −0.320899 | + | 0.116798i | −0.497447 | − | 0.867494i | \(-0.665729\pi\) |
0.176548 | + | 0.984292i | \(0.443507\pi\) | |||||||
\(752\) | −3.15776 | − | 2.64968i | −0.115152 | − | 0.0966238i | ||||
\(753\) | 38.1718 | − | 16.6194i | 1.39106 | − | 0.605645i | ||||
\(754\) | 19.6259 | + | 7.14323i | 0.714732 | + | 0.260141i | ||||
\(755\) | 1.19044 | 0.0433247 | ||||||||
\(756\) | −11.3222 | + | 7.79798i | −0.411783 | + | 0.283610i | ||||
\(757\) | −1.31192 | −0.0476824 | −0.0238412 | − | 0.999716i | \(-0.507590\pi\) | ||||
−0.0238412 | + | 0.999716i | \(0.507590\pi\) | |||||||
\(758\) | 2.99987 | + | 1.09186i | 0.108960 | + | 0.0396582i | ||||
\(759\) | 34.6485 | + | 25.6128i | 1.25766 | + | 0.929685i | ||||
\(760\) | 0.777798 | + | 0.652650i | 0.0282137 | + | 0.0236741i | ||||
\(761\) | −3.09465 | + | 1.12636i | −0.112181 | + | 0.0408306i | −0.397501 | − | 0.917602i | \(-0.630122\pi\) |
0.285320 | + | 0.958432i | \(0.407900\pi\) | |||||||
\(762\) | 15.7272 | − | 0.969511i | 0.569737 | − | 0.0351217i | ||||
\(763\) | −8.21540 | − | 12.1918i | −0.297417 | − | 0.441373i | ||||
\(764\) | −1.70002 | − | 2.94453i | −0.0615047 | − | 0.106529i | ||||
\(765\) | 2.83854 | − | 0.351301i | 0.102628 | − | 0.0127013i | ||||
\(766\) | −34.4996 | −1.24652 | ||||||||
\(767\) | −21.0499 | − | 7.66153i | −0.760067 | − | 0.276642i | ||||
\(768\) | −0.405149 | − | 1.68400i | −0.0146196 | − | 0.0607661i | ||||
\(769\) | −6.14587 | + | 34.8549i | −0.221626 | + | 1.25690i | 0.647406 | + | 0.762145i | \(0.275854\pi\) |
−0.869032 | + | 0.494756i | \(0.835257\pi\) | |||||||
\(770\) | 2.28255 | + | 0.655637i | 0.0822576 | + | 0.0236275i | ||||
\(771\) | −6.57464 | + | 6.24512i | −0.236780 | + | 0.224912i | ||||
\(772\) | 0.458322 | + | 2.59927i | 0.0164954 | + | 0.0935498i | ||||
\(773\) | −33.6435 | −1.21007 | −0.605037 | − | 0.796198i | \(-0.706842\pi\) | ||||
−0.605037 | + | 0.796198i | \(0.706842\pi\) | |||||||
\(774\) | −35.8505 | + | 4.43690i | −1.28862 | + | 0.159481i | ||||
\(775\) | 36.7022 | 1.31838 | ||||||||
\(776\) | 8.33637 | + | 3.03419i | 0.299258 | + | 0.108921i | ||||
\(777\) | 36.3501 | − | 18.9238i | 1.30405 | − | 0.678889i | ||||
\(778\) | −18.2379 | − | 15.3034i | −0.653861 | − | 0.548654i | ||||
\(779\) | −4.00672 | + | 22.7233i | −0.143556 | + | 0.814145i | ||||
\(780\) | −1.39752 | − | 1.03307i | −0.0500392 | − | 0.0369898i | ||||
\(781\) | 29.7016 | − | 24.9226i | 1.06281 | − | 0.891801i | ||||
\(782\) | 13.2114 | − | 22.8828i | 0.472437 | − | 0.818286i | ||||
\(783\) | 20.7319 | + | 3.43858i | 0.740897 | + | 0.122885i | ||||
\(784\) | 2.15705 | + | 6.65936i | 0.0770376 | + | 0.237834i | ||||
\(785\) | 0.0985605 | + | 0.558965i | 0.00351778 | + | 0.0199503i | ||||
\(786\) | 4.63844 | + | 3.42881i | 0.165448 | + | 0.122302i | ||||
\(787\) | −2.94947 | − | 2.47490i | −0.105137 | − | 0.0882205i | 0.588704 | − | 0.808349i | \(-0.299638\pi\) |
−0.693841 | + | 0.720128i | \(0.744083\pi\) | |||||||
\(788\) | 0.566749 | − | 3.21419i | 0.0201896 | − | 0.114501i | ||||
\(789\) | −9.73212 | + | 0.599941i | −0.346473 | + | 0.0213585i | ||||
\(790\) | −1.08432 | − | 0.394661i | −0.0385785 | − | 0.0140414i | ||||
\(791\) | 37.2408 | + | 27.0829i | 1.32413 | + | 0.962958i | ||||
\(792\) | −0.712019 | + | 13.8409i | −0.0253005 | + | 0.491815i | ||||
\(793\) | 19.8214 | + | 34.3317i | 0.703879 | + | 1.21915i | ||||
\(794\) | −9.91564 | − | 3.60900i | −0.351893 | − | 0.128079i | ||||
\(795\) | −1.75842 | + | 1.67029i | −0.0623648 | + | 0.0592390i | ||||
\(796\) | 8.19692 | + | 6.87803i | 0.290532 | + | 0.243785i | ||||
\(797\) | 7.34652 | − | 41.6642i | 0.260227 | − | 1.47582i | −0.522063 | − | 0.852907i | \(-0.674837\pi\) |
0.782290 | − | 0.622914i | \(-0.214051\pi\) | |||||||
\(798\) | 9.16358 | − | 22.1244i | 0.324387 | − | 0.783197i | ||||
\(799\) | 15.4947 | − | 13.0016i | 0.548163 | − | 0.459964i | ||||
\(800\) | 2.48112 | + | 4.29743i | 0.0877210 | + | 0.151937i | ||||
\(801\) | −23.5191 | − | 5.40597i | −0.831005 | − | 0.191011i | ||||
\(802\) | −9.37162 | + | 16.2321i | −0.330924 | + | 0.573176i | ||||
\(803\) | −14.7361 | + | 12.3651i | −0.520026 | + | 0.436354i | ||||
\(804\) | −10.0239 | + | 20.1291i | −0.353517 | + | 0.709900i | ||||
\(805\) | 0.668458 | + | 2.68625i | 0.0235601 | + | 0.0946779i | ||||
\(806\) | −35.8916 | + | 13.0635i | −1.26423 | + | 0.460142i | ||||
\(807\) | −2.05172 | + | 0.893288i | −0.0722241 | + | 0.0314452i | ||||
\(808\) | 13.1678 | − | 11.0491i | 0.463242 | − | 0.388706i | ||||
\(809\) | −13.7724 | − | 23.8546i | −0.484213 | − | 0.838682i | 0.515622 | − | 0.856816i | \(-0.327561\pi\) |
−0.999836 | + | 0.0181338i | \(0.994228\pi\) | |||||||
\(810\) | −1.57318 | − | 0.763550i | −0.0552761 | − | 0.0268284i | ||||
\(811\) | −8.45474 | −0.296886 | −0.148443 | − | 0.988921i | \(-0.547426\pi\) | ||||
−0.148443 | + | 0.988921i | \(0.547426\pi\) | |||||||
\(812\) | 4.69511 | − | 9.61529i | 0.164766 | − | 0.337431i | ||||
\(813\) | 9.88841 | + | 7.30968i | 0.346802 | + | 0.256362i | ||||
\(814\) | 7.17398 | − | 40.6856i | 0.251448 | − | 1.42603i | ||||
\(815\) | −0.402307 | + | 2.28159i | −0.0140922 | + | 0.0799208i | ||||
\(816\) | 8.48283 | − | 0.522928i | 0.296958 | − | 0.0183061i | ||||
\(817\) | 48.2027 | − | 40.4469i | 1.68640 | − | 1.41506i | ||||
\(818\) | 3.27546 | + | 5.67326i | 0.114524 | + | 0.198361i | ||||
\(819\) | −13.3250 | + | 38.7623i | −0.465612 | + | 1.35446i | ||||
\(820\) | 0.428960 | − | 0.742980i | 0.0149799 | − | 0.0259460i | ||||
\(821\) | −1.03346 | − | 5.86106i | −0.0360681 | − | 0.204553i | 0.961448 | − | 0.274985i | \(-0.0886730\pi\) |
−0.997517 | + | 0.0704329i | \(0.977562\pi\) | |||||||
\(822\) | −3.74879 | − | 15.5818i | −0.130754 | − | 0.543478i | ||||
\(823\) | 47.0283 | − | 17.1169i | 1.63930 | − | 0.596657i | 0.652385 | − | 0.757887i | \(-0.273768\pi\) |
0.986917 | + | 0.161230i | \(0.0515461\pi\) | |||||||
\(824\) | −0.583766 | − | 0.489838i | −0.0203365 | − | 0.0170643i | ||||
\(825\) | −9.28775 | − | 38.6045i | −0.323358 | − | 1.34403i | ||||
\(826\) | −5.03578 | + | 10.3129i | −0.175217 | + | 0.358833i | ||||
\(827\) | −4.86382 | + | 8.42438i | −0.169132 | + | 0.292945i | −0.938115 | − | 0.346324i | \(-0.887430\pi\) |
0.768983 | + | 0.639269i | \(0.220763\pi\) | |||||||
\(828\) | −14.3868 | + | 7.34786i | −0.499974 | + | 0.255356i | ||||
\(829\) | 15.0071 | − | 25.9931i | 0.521220 | − | 0.902779i | −0.478476 | − | 0.878101i | \(-0.658811\pi\) |
0.999695 | − | 0.0246781i | \(-0.00785608\pi\) | |||||||
\(830\) | −0.241962 | − | 1.37223i | −0.00839861 | − | 0.0476309i | ||||
\(831\) | 17.9275 | − | 1.10515i | 0.621897 | − | 0.0383371i | ||||
\(832\) | −3.95592 | − | 3.31941i | −0.137147 | − | 0.115080i | ||||
\(833\) | −34.0181 | + | 4.74934i | −1.17866 | + | 0.164555i | ||||
\(834\) | 1.84620 | − | 16.2735i | 0.0639286 | − | 0.563504i | ||||
\(835\) | −0.766305 | − | 0.278912i | −0.0265191 | − | 0.00965215i | ||||
\(836\) | −12.0706 | − | 20.9069i | −0.417471 | − | 0.723082i | ||||
\(837\) | −33.0862 | + | 19.5536i | −1.14363 | + | 0.675871i | ||||
\(838\) | −4.51762 | + | 7.82475i | −0.156059 | + | 0.270301i | ||||
\(839\) | −3.72963 | − | 21.1518i | −0.128761 | − | 0.730241i | −0.979003 | − | 0.203848i | \(-0.934655\pi\) |
0.850241 | − | 0.526393i | \(-0.176456\pi\) | |||||||
\(840\) | −0.601522 | + | 0.656479i | −0.0207545 | + | 0.0226507i | ||||
\(841\) | 11.8807 | − | 4.32422i | 0.409679 | − | 0.149111i | ||||
\(842\) | −7.04485 | + | 2.56412i | −0.242782 | + | 0.0883653i | ||||
\(843\) | 0.889917 | + | 1.34311i | 0.0306504 | + | 0.0462593i | ||||
\(844\) | −3.60064 | − | 20.4203i | −0.123939 | − | 0.702894i | ||||
\(845\) | −2.65564 | −0.0913567 | ||||||||
\(846\) | −12.2729 | + | 1.51891i | −0.421950 | + | 0.0522210i | ||||
\(847\) | −22.1292 | − | 16.0932i | −0.760368 | − | 0.552969i | ||||
\(848\) | −5.52055 | + | 4.63229i | −0.189576 | + | 0.159073i | ||||
\(849\) | 2.84083 | + | 11.8079i | 0.0974970 | + | 0.405246i | ||||
\(850\) | −22.8806 | + | 8.32787i | −0.784799 | + | 0.285644i | ||||
\(851\) | 45.2514 | − | 16.4702i | 1.55120 | − | 0.564590i | ||||
\(852\) | 3.40035 | + | 14.1335i | 0.116494 | + | 0.484207i | ||||
\(853\) | −0.865501 | + | 0.726242i | −0.0296342 | + | 0.0248661i | −0.657484 | − | 0.753468i | \(-0.728379\pi\) |
0.627850 | + | 0.778334i | \(0.283935\pi\) | |||||||
\(854\) | 18.5583 | − | 8.25256i | 0.635052 | − | 0.282397i | ||||
\(855\) | 3.02297 | − | 0.374126i | 0.103383 | − | 0.0127948i | ||||
\(856\) | −13.2380 | −0.452465 | ||||||||
\(857\) | −2.60655 | − | 14.7825i | −0.0890380 | − | 0.504960i | −0.996412 | − | 0.0846354i | \(-0.973027\pi\) |
0.907374 | − | 0.420324i | \(-0.138084\pi\) | |||||||
\(858\) | 22.8232 | + | 34.4461i | 0.779171 | + | 1.17597i | ||||
\(859\) | 19.8781 | − | 7.23503i | 0.678232 | − | 0.246856i | 0.0201435 | − | 0.999797i | \(-0.493588\pi\) |
0.658088 | + | 0.752941i | \(0.271365\pi\) | |||||||
\(860\) | −2.19852 | + | 0.800196i | −0.0749690 | + | 0.0272865i | ||||
\(861\) | −19.7547 | − | 4.37898i | −0.673237 | − | 0.149235i | ||||
\(862\) | −3.27617 | − | 18.5801i | −0.111587 | − | 0.632840i | ||||
\(863\) | −8.50565 | + | 14.7322i | −0.289536 | + | 0.501490i | −0.973699 | − | 0.227838i | \(-0.926834\pi\) |
0.684163 | + | 0.729329i | \(0.260168\pi\) | |||||||
\(864\) | −4.52619 | − | 2.55218i | −0.153984 | − | 0.0868269i | ||||
\(865\) | 0.438745 | + | 0.759929i | 0.0149178 | + | 0.0258384i | ||||
\(866\) | −28.5280 | − | 10.3834i | −0.969422 | − | 0.352841i | ||||
\(867\) | −1.38181 | + | 12.1801i | −0.0469287 | + | 0.413657i | ||||
\(868\) | 4.72546 | + | 18.9896i | 0.160393 | + | 0.644550i | ||||
\(869\) | 21.0171 | + | 17.6355i | 0.712957 | + | 0.598242i | ||||
\(870\) | 1.35849 | − | 0.0837448i | 0.0460572 | − | 0.00283922i | ||||
\(871\) | 11.6421 | + | 66.0259i | 0.394479 | + | 2.23720i | ||||
\(872\) | 2.77831 | − | 4.81218i | 0.0940856 | − | 0.162961i | ||||
\(873\) | 23.7017 | − | 12.1054i | 0.802182 | − | 0.409705i | ||||
\(874\) | 14.0698 | − | 24.3695i | 0.475917 | − | 0.824312i | ||||
\(875\) | 2.24711 | − | 4.60193i | 0.0759661 | − | 0.155574i | ||||
\(876\) | −1.68705 | − | 7.01220i | −0.0570000 | − | 0.236920i | ||||
\(877\) | −32.9294 | − | 27.6311i | −1.11195 | − | 0.933035i | −0.113778 | − | 0.993506i | \(-0.536295\pi\) |
−0.998170 | + | 0.0604712i | \(0.980740\pi\) | |||||||
\(878\) | 7.03582 | − | 2.56083i | 0.237447 | − | 0.0864238i | ||||
\(879\) | −9.10990 | − | 37.8652i | −0.307269 | − | 1.27716i | ||||
\(880\) | 0.155868 | + | 0.883973i | 0.00525432 | + | 0.0297987i | ||||
\(881\) | 7.51336 | − | 13.0135i | 0.253131 | − | 0.438437i | −0.711255 | − | 0.702934i | \(-0.751873\pi\) |
0.964386 | + | 0.264498i | \(0.0852061\pi\) | |||||||
\(882\) | 19.0329 | + | 8.87401i | 0.640872 | + | 0.298803i | ||||
\(883\) | −5.57211 | − | 9.65118i | −0.187516 | − | 0.324788i | 0.756905 | − | 0.653525i | \(-0.226710\pi\) |
−0.944422 | + | 0.328737i | \(0.893377\pi\) | |||||||
\(884\) | 19.4111 | − | 16.2879i | 0.652868 | − | 0.547821i | ||||
\(885\) | −1.45706 | + | 0.0898211i | −0.0489785 | + | 0.00301930i | ||||
\(886\) | −6.71785 | + | 38.0988i | −0.225691 | + | 1.27995i | ||||
\(887\) | 9.58486 | − | 54.3585i | 0.321828 | − | 1.82518i | −0.209257 | − | 0.977861i | \(-0.567105\pi\) |
0.531086 | − | 0.847318i | \(-0.321784\pi\) | |||||||
\(888\) | 12.4557 | + | 9.20743i | 0.417984 | + | 0.308981i | ||||
\(889\) | −13.4503 | − | 19.9605i | −0.451109 | − | 0.669454i | ||||
\(890\) | −1.56296 | −0.0523906 | ||||||||
\(891\) | 28.9397 | + | 29.8528i | 0.969517 | + | 1.00011i | ||||
\(892\) | 3.23157 | + | 5.59725i | 0.108201 | + | 0.187410i | ||||
\(893\) | 16.5015 | − | 13.8464i | 0.552200 | − | 0.463351i | ||||
\(894\) | 12.5963 | − | 5.48422i | 0.421282 | − | 0.183420i | ||||
\(895\) | −3.58357 | + | 1.30431i | −0.119785 | + | 0.0435983i | ||||
\(896\) | −1.90403 | + | 1.83703i | −0.0636092 | + | 0.0613707i | ||||
\(897\) | −21.4702 | + | 43.1145i | −0.716869 | + | 1.43955i | ||||
\(898\) | −1.58273 | + | 1.32807i | −0.0528165 | + | 0.0443183i | ||||
\(899\) | 14.9566 | − | 25.9056i | 0.498831 | − | 0.864001i | ||||
\(900\) | 14.5084 | + | 3.33483i | 0.483614 | + | 0.111161i | ||||
\(901\) | −17.6808 | − | 30.6240i | −0.589033 | − | 1.02023i | ||||
\(902\) | −15.6260 | + | 13.1118i | −0.520288 | + | 0.436574i | ||||
\(903\) | 33.5928 | + | 43.7766i | 1.11790 | + | 1.45680i | ||||
\(904\) | −3.02222 | + | 17.1399i | −0.100518 | + | 0.570063i | ||||
\(905\) | −1.20184 | − | 1.00846i | −0.0399505 | − | 0.0335224i | ||||
\(906\) | 7.69420 | − | 7.30856i | 0.255623 | − | 0.242811i | ||||
\(907\) | 45.4099 | + | 16.5279i | 1.50781 | + | 0.548799i | 0.958070 | − | 0.286535i | \(-0.0925035\pi\) |
0.549743 | + | 0.835334i | \(0.314726\pi\) | |||||||
\(908\) | −3.08674 | − | 5.34639i | −0.102437 | − | 0.177426i | ||||
\(909\) | 2.64932 | − | 51.5000i | 0.0878724 | − | 1.70815i | ||||
\(910\) | −0.278692 | + | 2.64001i | −0.00923857 | + | 0.0875156i | ||||
\(911\) | −5.58480 | − | 2.03270i | −0.185033 | − | 0.0673464i | 0.247842 | − | 0.968800i | \(-0.420279\pi\) |
−0.432875 | + | 0.901454i | \(0.642501\pi\) | |||||||
\(912\) | 9.03399 | − | 0.556905i | 0.299145 | − | 0.0184410i | ||||
\(913\) | −5.75298 | + | 32.6268i | −0.190396 | + | 1.07979i | ||||
\(914\) | 8.66541 | + | 7.27115i | 0.286626 | + | 0.240508i | ||||
\(915\) | 2.07747 | + | 1.53570i | 0.0686791 | + | 0.0507687i | ||||
\(916\) | 2.84309 | + | 16.1240i | 0.0939383 | + | 0.532751i | ||||
\(917\) | 0.924995 | − | 8.76235i | 0.0305460 | − | 0.289358i | ||||
\(918\) | 16.1895 | − | 19.6973i | 0.534335 | − | 0.650109i | ||||
\(919\) | 18.3954 | − | 31.8617i | 0.606807 | − | 1.05102i | −0.384956 | − | 0.922935i | \(-0.625784\pi\) |
0.991763 | − | 0.128085i | \(-0.0408831\pi\) | |||||||
\(920\) | −0.801490 | + | 0.672530i | −0.0264243 | + | 0.0221727i | ||||
\(921\) | −8.34829 | − | 6.17120i | −0.275086 | − | 0.203348i | ||||
\(922\) | −0.284378 | + | 1.61279i | −0.00936550 | + | 0.0531144i | ||||
\(923\) | 33.2014 | + | 27.8593i | 1.09284 | + | 0.917000i | ||||
\(924\) | 18.7780 | − | 9.77583i | 0.617752 | − | 0.321601i | ||||
\(925\) | −41.7001 | − | 15.1776i | −1.37109 | − | 0.499036i | ||||
\(926\) | 15.4144 | 0.506550 | ||||||||
\(927\) | −2.26885 | + | 0.280795i | −0.0745187 | + | 0.00922253i | ||||
\(928\) | 4.04436 | 0.132763 | ||||||||
\(929\) | −2.95493 | − | 16.7583i | −0.0969482 | − | 0.549821i | −0.994133 | − | 0.108165i | \(-0.965502\pi\) |
0.897185 | − | 0.441655i | \(-0.145609\pi\) | |||||||
\(930\) | −1.80472 | + | 1.71426i | −0.0591789 | + | 0.0562128i | ||||
\(931\) | −36.2284 | + | 5.05792i | −1.18734 | + | 0.165767i | ||||
\(932\) | −0.801683 | + | 4.54657i | −0.0262600 | + | 0.148928i | ||||
\(933\) | 8.94437 | + | 37.1772i | 0.292826 | + | 1.21713i | ||||
\(934\) | 6.44595 | + | 2.34613i | 0.210918 | + | 0.0767678i | ||||
\(935\) | −4.40444 | −0.144041 | ||||||||
\(936\) | −15.3750 | + | 1.90282i | −0.502546 | + | 0.0621957i | ||||
\(937\) | 9.43039 | + | 16.3339i | 0.308077 | + | 0.533606i | 0.977942 | − | 0.208878i | \(-0.0669811\pi\) |
−0.669864 | + | 0.742484i | \(0.733648\pi\) | |||||||
\(938\) | 34.2667 | − | 2.38048i | 1.11885 | − | 0.0777254i | ||||
\(939\) | 3.85344 | − | 0.237547i | 0.125752 | − | 0.00775205i | ||||
\(940\) | −0.752630 | + | 0.273935i | −0.0245481 | + | 0.00893478i | ||||
\(941\) | 25.5658 | + | 21.4523i | 0.833423 | + | 0.699325i | 0.956074 | − | 0.293125i | \(-0.0946952\pi\) |
−0.122651 | + | 0.992450i | \(0.539140\pi\) | |||||||
\(942\) | 4.06871 | + | 3.00766i | 0.132566 | + | 0.0979948i | ||||
\(943\) | −22.3427 | − | 8.13208i | −0.727579 | − | 0.264817i | ||||
\(944\) | −4.33781 | −0.141184 | ||||||||
\(945\) | 0.212207 | + | 2.66273i | 0.00690310 | + | 0.0866185i | ||||
\(946\) | 55.6278 | 1.80861 | ||||||||
\(947\) | −31.7202 | − | 11.5452i | −1.03077 | − | 0.375169i | −0.229394 | − | 0.973334i | \(-0.573675\pi\) |
−0.801373 | + | 0.598165i | \(0.795897\pi\) | |||||||
\(948\) | −9.43126 | + | 4.10623i | −0.306313 | + | 0.133364i | ||||
\(949\) | −16.4725 | − | 13.8221i | −0.534720 | − | 0.448683i | ||||
\(950\) | −24.3673 | + | 8.86897i | −0.790579 | + | 0.287747i | ||||
\(951\) | 9.47283 | + | 14.2969i | 0.307177 | + | 0.463610i | ||||
\(952\) | −7.25473 | − | 10.7661i | −0.235127 | − | 0.348933i | ||||
\(953\) | −28.8315 | − | 49.9375i | −0.933942 | − | 1.61764i | −0.776509 | − | 0.630106i | \(-0.783011\pi\) |
−0.157433 | − | 0.987530i | \(-0.550322\pi\) | |||||||
\(954\) | −1.11072 | + | 21.5911i | −0.0359607 | + | 0.699039i | ||||
\(955\) | −0.660626 | −0.0213773 | ||||||||
\(956\) | −3.79727 | − | 1.38209i | −0.122813 | − | 0.0447001i | ||||
\(957\) | −31.0332 | − | 9.17621i | −1.00316 | − | 0.296625i | ||||
\(958\) | −4.41900 | + | 25.0614i | −0.142772 | + | 0.809697i | ||||
\(959\) | −17.6177 | + | 16.9978i | −0.568906 | + | 0.548886i | ||||
\(960\) | −0.322723 | − | 0.0954260i | −0.0104158 | − | 0.00307986i | ||||
\(961\) | 4.11635 | + | 23.3450i | 0.132785 | + | 0.753063i | ||||
\(962\) | 46.1813 | 1.48894 | ||||||||
\(963\) | −27.0569 | + | 29.0710i | −0.871896 | + | 0.936799i | ||||
\(964\) | −23.7050 | −0.763487 | ||||||||
\(965\) | 0.481899 | + | 0.175397i | 0.0155129 | + | 0.00564623i | ||||
\(966\) | 20.8123 | + | 13.2581i | 0.669624 | + | 0.426574i | ||||
\(967\) | −6.27261 | − | 5.26334i | −0.201713 | − | 0.169258i | 0.536335 | − | 0.844005i | \(-0.319808\pi\) |
−0.738049 | + | 0.674747i | \(0.764253\pi\) | |||||||
\(968\) | 1.79586 | − | 10.1848i | 0.0577212 | − | 0.327353i | ||||
\(969\) | −5.00643 | + | 44.1296i | −0.160830 | + | 1.41765i | ||||
\(970\) | 1.32043 | − | 1.10797i | 0.0423964 | − | 0.0355748i | ||||
\(971\) | −16.4404 | + | 28.4755i | −0.527596 | + | 0.913824i | 0.471886 | + | 0.881660i | \(0.343573\pi\) |
−0.999483 | + | 0.0321644i | \(0.989760\pi\) | |||||||
\(972\) | −14.8557 | + | 4.72328i | −0.476495 | + | 0.151499i | ||||
\(973\) | −22.8593 | + | 10.1652i | −0.732837 | + | 0.325880i | ||||
\(974\) | 1.29900 | + | 7.36699i | 0.0416226 | + | 0.236054i | ||||
\(975\) | 40.6949 | − | 17.7179i | 1.30328 | − | 0.567427i | ||||
\(976\) | 5.88064 | + | 4.93445i | 0.188235 | + | 0.157948i | ||||
\(977\) | −5.60975 | + | 31.8145i | −0.179472 | + | 1.01784i | 0.753383 | + | 0.657582i | \(0.228421\pi\) |
−0.932855 | + | 0.360253i | \(0.882690\pi\) | |||||||
\(978\) | 11.4073 | + | 17.2165i | 0.364765 | + | 0.550524i | ||||
\(979\) | 34.9206 | + | 12.7100i | 1.11607 | + | 0.406215i | ||||
\(980\) | 1.33011 | + | 0.283991i | 0.0424889 | + | 0.00907175i | ||||
\(981\) | −4.88914 | − | 15.9368i | −0.156098 | − | 0.508823i | ||||
\(982\) | −1.82500 | − | 3.16100i | −0.0582381 | − | 0.100871i | ||||
\(983\) | −20.7046 | − | 7.53584i | −0.660373 | − | 0.240356i | −0.00997561 | − | 0.999950i | \(-0.503175\pi\) |
−0.650397 | + | 0.759594i | \(0.725398\pi\) | |||||||
\(984\) | −1.78892 | − | 7.43564i | −0.0570287 | − | 0.237039i | ||||
\(985\) | −0.485786 | − | 0.407623i | −0.0154784 | − | 0.0129879i | ||||
\(986\) | −3.44607 | + | 19.5436i | −0.109745 | + | 0.622395i | ||||
\(987\) | 11.5000 | + | 14.9863i | 0.366048 | + | 0.477018i | ||||
\(988\) | 20.6724 | − | 17.3462i | 0.657676 | − | 0.551855i | ||||
\(989\) | 32.4204 | + | 56.1538i | 1.03091 | + | 1.78559i | ||||
\(990\) | 2.25981 | + | 1.46445i | 0.0718213 | + | 0.0465431i | ||||
\(991\) | −28.0981 | + | 48.6674i | −0.892566 | + | 1.54597i | −0.0557783 | + | 0.998443i | \(0.517764\pi\) |
−0.836788 | + | 0.547527i | \(0.815569\pi\) | |||||||
\(992\) | −5.66589 | + | 4.75424i | −0.179892 | + | 0.150947i | ||||
\(993\) | −26.3001 | − | 39.6936i | −0.834607 | − | 1.25964i | ||||
\(994\) | 15.9802 | − | 15.4179i | 0.506862 | − | 0.489025i | ||||
\(995\) | 1.95368 | − | 0.711080i | 0.0619357 | − | 0.0225428i | ||||
\(996\) | −9.98849 | − | 7.38366i | −0.316497 | − | 0.233960i | ||||
\(997\) | 39.6055 | − | 33.2330i | 1.25432 | − | 1.05250i | 0.258056 | − | 0.966130i | \(-0.416918\pi\) |
0.996263 | − | 0.0863691i | \(-0.0275264\pi\) | |||||||
\(998\) | −6.60633 | − | 11.4425i | −0.209120 | − | 0.362206i | ||||
\(999\) | 45.6777 | − | 8.53406i | 1.44518 | − | 0.270006i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.w.a.121.6 | yes | 72 | |
7.4 | even | 3 | 378.2.v.b.67.10 | ✓ | 72 | ||
27.25 | even | 9 | 378.2.v.b.79.10 | yes | 72 | ||
189.25 | even | 9 | inner | 378.2.w.a.25.6 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.67.10 | ✓ | 72 | 7.4 | even | 3 | ||
378.2.v.b.79.10 | yes | 72 | 27.25 | even | 9 | ||
378.2.w.a.25.6 | yes | 72 | 189.25 | even | 9 | inner | |
378.2.w.a.121.6 | yes | 72 | 1.1 | even | 1 | trivial |