Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
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([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (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: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.43 |
Dual form | 378.2.u.a.211.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 1.11334 | − | 1.32683i | 0.642788 | − | 0.766044i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 2.37939 | + | 0.866025i | 1.06409 | + | 0.387298i | 0.813965 | − | 0.580914i | \(-0.197305\pi\) |
0.250129 | + | 0.968213i | \(0.419527\pi\) | |||||||
\(6\) | 1.70574 | − | 0.300767i | 0.696364 | − | 0.122788i | ||||
\(7\) | 0.173648 | − | 0.984808i | 0.0656328 | − | 0.372222i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.520945 | − | 2.95442i | −0.173648 | − | 0.984808i | ||||
\(10\) | 1.26604 | + | 2.19285i | 0.400358 | + | 0.693441i | ||||
\(11\) | −0.286989 | + | 0.104455i | −0.0865304 | + | 0.0314945i | −0.384923 | − | 0.922949i | \(-0.625772\pi\) |
0.298392 | + | 0.954443i | \(0.403550\pi\) | |||||||
\(12\) | 1.50000 | + | 0.866025i | 0.433013 | + | 0.250000i | ||||
\(13\) | −1.43969 | + | 1.20805i | −0.399299 | + | 0.335052i | −0.820223 | − | 0.572044i | \(-0.806150\pi\) |
0.420924 | + | 0.907096i | \(0.361706\pi\) | |||||||
\(14\) | 0.766044 | − | 0.642788i | 0.204734 | − | 0.171792i | ||||
\(15\) | 3.79813 | − | 2.19285i | 0.980674 | − | 0.566192i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.592396 | − | 1.02606i | −0.143677 | − | 0.248856i | 0.785201 | − | 0.619240i | \(-0.212559\pi\) |
−0.928879 | + | 0.370384i | \(0.879226\pi\) | |||||||
\(18\) | 1.50000 | − | 2.59808i | 0.353553 | − | 0.612372i | ||||
\(19\) | −2.31908 | + | 4.01676i | −0.532033 | + | 0.921508i | 0.467268 | + | 0.884116i | \(0.345238\pi\) |
−0.999301 | + | 0.0373922i | \(0.988095\pi\) | |||||||
\(20\) | −0.439693 | + | 2.49362i | −0.0983183 | + | 0.557591i | ||||
\(21\) | −1.11334 | − | 1.32683i | −0.242951 | − | 0.289538i | ||||
\(22\) | −0.286989 | − | 0.104455i | −0.0611863 | − | 0.0222700i | ||||
\(23\) | −0.215537 | − | 1.22237i | −0.0449426 | − | 0.254882i | 0.954056 | − | 0.299629i | \(-0.0968630\pi\) |
−0.998998 | + | 0.0447469i | \(0.985752\pi\) | |||||||
\(24\) | 0.592396 | + | 1.62760i | 0.120922 | + | 0.332232i | ||||
\(25\) | 1.08125 | + | 0.907278i | 0.216250 | + | 0.181456i | ||||
\(26\) | −1.87939 | −0.368578 | ||||||||
\(27\) | −4.50000 | − | 2.59808i | −0.866025 | − | 0.500000i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 2.14543 | + | 1.80023i | 0.398396 | + | 0.334294i | 0.819873 | − | 0.572545i | \(-0.194044\pi\) |
−0.421477 | + | 0.906839i | \(0.638488\pi\) | |||||||
\(30\) | 4.31908 | + | 0.761570i | 0.788552 | + | 0.139043i | ||||
\(31\) | −0.847296 | − | 4.80526i | −0.152179 | − | 0.863050i | −0.961320 | − | 0.275435i | \(-0.911178\pi\) |
0.809141 | − | 0.587615i | \(-0.199933\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −0.180922 | + | 0.497079i | −0.0314945 | + | 0.0865304i | ||||
\(34\) | 0.205737 | − | 1.16679i | 0.0352836 | − | 0.200103i | ||||
\(35\) | 1.26604 | − | 2.19285i | 0.214001 | − | 0.370660i | ||||
\(36\) | 2.81908 | − | 1.02606i | 0.469846 | − | 0.171010i | ||||
\(37\) | 5.41147 | + | 9.37295i | 0.889641 | + | 1.54090i | 0.840300 | + | 0.542121i | \(0.182379\pi\) |
0.0493405 | + | 0.998782i | \(0.484288\pi\) | |||||||
\(38\) | −4.35844 | + | 1.58634i | −0.707032 | + | 0.257339i | ||||
\(39\) | 3.25519i | 0.521248i | ||||||||
\(40\) | −1.93969 | + | 1.62760i | −0.306692 | + | 0.257345i | ||||
\(41\) | −2.69459 | + | 2.26103i | −0.420825 | + | 0.353114i | −0.828477 | − | 0.560024i | \(-0.810792\pi\) |
0.407652 | + | 0.913137i | \(0.366348\pi\) | |||||||
\(42\) | − | 1.73205i | − | 0.267261i | ||||||
\(43\) | 4.04576 | − | 1.47254i | 0.616973 | − | 0.224560i | −0.0145788 | − | 0.999894i | \(-0.504641\pi\) |
0.631551 | + | 0.775334i | \(0.282419\pi\) | |||||||
\(44\) | −0.152704 | − | 0.264490i | −0.0230209 | − | 0.0398734i | ||||
\(45\) | 1.31908 | − | 7.48086i | 0.196637 | − | 1.11518i | ||||
\(46\) | 0.620615 | − | 1.07494i | 0.0915047 | − | 0.158491i | ||||
\(47\) | 1.59967 | − | 9.07218i | 0.233336 | − | 1.32331i | −0.612754 | − | 0.790274i | \(-0.709938\pi\) |
0.846090 | − | 0.533040i | \(-0.178950\pi\) | |||||||
\(48\) | −0.592396 | + | 1.62760i | −0.0855050 | + | 0.234923i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | 0.245100 | + | 1.39003i | 0.0346624 | + | 0.196580i | ||||
\(51\) | −2.02094 | − | 0.356347i | −0.282989 | − | 0.0498986i | ||||
\(52\) | −1.43969 | − | 1.20805i | −0.199649 | − | 0.167526i | ||||
\(53\) | −11.4192 | −1.56855 | −0.784275 | − | 0.620413i | \(-0.786965\pi\) | ||||
−0.784275 | + | 0.620413i | \(0.786965\pi\) | |||||||
\(54\) | −1.77719 | − | 4.88279i | −0.241845 | − | 0.664463i | ||||
\(55\) | −0.773318 | −0.104274 | ||||||||
\(56\) | 0.766044 | + | 0.642788i | 0.102367 | + | 0.0858961i | ||||
\(57\) | 2.74763 | + | 7.54904i | 0.363932 | + | 0.999895i | ||||
\(58\) | 0.486329 | + | 2.75811i | 0.0638582 | + | 0.362158i | ||||
\(59\) | −5.01114 | − | 1.82391i | −0.652395 | − | 0.237453i | −0.00544570 | − | 0.999985i | \(-0.501733\pi\) |
−0.646950 | + | 0.762533i | \(0.723956\pi\) | |||||||
\(60\) | 2.81908 | + | 3.35965i | 0.363941 | + | 0.433728i | ||||
\(61\) | −1.96064 | + | 11.1193i | −0.251034 | + | 1.42368i | 0.555018 | + | 0.831839i | \(0.312711\pi\) |
−0.806052 | + | 0.591845i | \(0.798400\pi\) | |||||||
\(62\) | 2.43969 | − | 4.22567i | 0.309841 | − | 0.536661i | ||||
\(63\) | −3.00000 | −0.377964 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −4.47178 | + | 1.62760i | −0.554656 | + | 0.201878i | ||||
\(66\) | −0.458111 | + | 0.264490i | −0.0563896 | + | 0.0325565i | ||||
\(67\) | −8.10014 | + | 6.79682i | −0.989589 | + | 0.830364i | −0.985508 | − | 0.169628i | \(-0.945743\pi\) |
−0.00408103 | + | 0.999992i | \(0.501299\pi\) | |||||||
\(68\) | 0.907604 | − | 0.761570i | 0.110063 | − | 0.0923539i | ||||
\(69\) | −1.86184 | − | 1.07494i | −0.224140 | − | 0.129407i | ||||
\(70\) | 2.37939 | − | 0.866025i | 0.284391 | − | 0.103510i | ||||
\(71\) | −6.76991 | − | 11.7258i | −0.803441 | − | 1.39160i | −0.917338 | − | 0.398108i | \(-0.869667\pi\) |
0.113897 | − | 0.993493i | \(-0.463666\pi\) | |||||||
\(72\) | 2.81908 | + | 1.02606i | 0.332232 | + | 0.120922i | ||||
\(73\) | −0.163848 | + | 0.283793i | −0.0191770 | + | 0.0332155i | −0.875455 | − | 0.483300i | \(-0.839438\pi\) |
0.856278 | + | 0.516516i | \(0.172771\pi\) | |||||||
\(74\) | −1.87939 | + | 10.6585i | −0.218474 | + | 1.23903i | ||||
\(75\) | 2.40760 | − | 0.424525i | 0.278006 | − | 0.0490200i | ||||
\(76\) | −4.35844 | − | 1.58634i | −0.499947 | − | 0.181966i | ||||
\(77\) | 0.0530334 | + | 0.300767i | 0.00604372 | + | 0.0342756i | ||||
\(78\) | −2.09240 | + | 2.49362i | −0.236917 | + | 0.282347i | ||||
\(79\) | 9.60607 | + | 8.06045i | 1.08077 | + | 0.906871i | 0.995984 | − | 0.0895283i | \(-0.0285360\pi\) |
0.0847827 | + | 0.996399i | \(0.472980\pi\) | |||||||
\(80\) | −2.53209 | −0.283096 | ||||||||
\(81\) | −8.45723 | + | 3.07818i | −0.939693 | + | 0.342020i | ||||
\(82\) | −3.51754 | −0.388447 | ||||||||
\(83\) | −1.18479 | − | 0.994159i | −0.130048 | − | 0.109123i | 0.575444 | − | 0.817841i | \(-0.304829\pi\) |
−0.705492 | + | 0.708718i | \(0.749274\pi\) | |||||||
\(84\) | 1.11334 | − | 1.32683i | 0.121475 | − | 0.144769i | ||||
\(85\) | −0.520945 | − | 2.95442i | −0.0565044 | − | 0.320452i | ||||
\(86\) | 4.04576 | + | 1.47254i | 0.436265 | + | 0.158788i | ||||
\(87\) | 4.77719 | − | 0.842347i | 0.512168 | − | 0.0903091i | ||||
\(88\) | 0.0530334 | − | 0.300767i | 0.00565338 | − | 0.0320619i | ||||
\(89\) | 1.89646 | − | 3.28476i | 0.201024 | − | 0.348184i | −0.747834 | − | 0.663885i | \(-0.768906\pi\) |
0.948859 | + | 0.315701i | \(0.102240\pi\) | |||||||
\(90\) | 5.81908 | − | 4.88279i | 0.613385 | − | 0.514691i | ||||
\(91\) | 0.939693 | + | 1.62760i | 0.0985066 | + | 0.170618i | ||||
\(92\) | 1.16637 | − | 0.424525i | 0.121603 | − | 0.0442598i | ||||
\(93\) | −7.31908 | − | 4.22567i | −0.758953 | − | 0.438182i | ||||
\(94\) | 7.05690 | − | 5.92145i | 0.727864 | − | 0.610750i | ||||
\(95\) | −8.99660 | + | 7.54904i | −0.923031 | + | 0.774515i | ||||
\(96\) | −1.50000 | + | 0.866025i | −0.153093 | + | 0.0883883i | ||||
\(97\) | 3.65910 | − | 1.33180i | 0.371525 | − | 0.135224i | −0.149508 | − | 0.988761i | \(-0.547769\pi\) |
0.521033 | + | 0.853536i | \(0.325547\pi\) | |||||||
\(98\) | −0.500000 | − | 0.866025i | −0.0505076 | − | 0.0874818i | ||||
\(99\) | 0.458111 | + | 0.793471i | 0.0460419 | + | 0.0797469i | ||||
\(100\) | −0.705737 | + | 1.22237i | −0.0705737 | + | 0.122237i | ||||
\(101\) | 2.68479 | − | 15.2262i | 0.267147 | − | 1.51507i | −0.495705 | − | 0.868491i | \(-0.665090\pi\) |
0.762851 | − | 0.646574i | \(-0.223799\pi\) | |||||||
\(102\) | −1.31908 | − | 1.57202i | −0.130608 | − | 0.155653i | ||||
\(103\) | −12.6630 | − | 4.60894i | −1.24772 | − | 0.454133i | −0.368089 | − | 0.929791i | \(-0.619988\pi\) |
−0.879630 | + | 0.475658i | \(0.842210\pi\) | |||||||
\(104\) | −0.326352 | − | 1.85083i | −0.0320014 | − | 0.181489i | ||||
\(105\) | −1.50000 | − | 4.12122i | −0.146385 | − | 0.402190i | ||||
\(106\) | −8.74763 | − | 7.34013i | −0.849645 | − | 0.712936i | ||||
\(107\) | 7.61587 | 0.736254 | 0.368127 | − | 0.929776i | \(-0.379999\pi\) | ||||
0.368127 | + | 0.929776i | \(0.379999\pi\) | |||||||
\(108\) | 1.77719 | − | 4.88279i | 0.171010 | − | 0.469846i | ||||
\(109\) | 5.93582 | 0.568549 | 0.284274 | − | 0.958743i | \(-0.408247\pi\) | ||||
0.284274 | + | 0.958743i | \(0.408247\pi\) | |||||||
\(110\) | −0.592396 | − | 0.497079i | −0.0564828 | − | 0.0473947i | ||||
\(111\) | 18.4611 | + | 3.25519i | 1.75225 | + | 0.308969i | ||||
\(112\) | 0.173648 | + | 0.984808i | 0.0164082 | + | 0.0930556i | ||||
\(113\) | 10.4153 | + | 3.79088i | 0.979793 | + | 0.356616i | 0.781760 | − | 0.623580i | \(-0.214322\pi\) |
0.198033 | + | 0.980195i | \(0.436545\pi\) | |||||||
\(114\) | −2.74763 | + | 7.54904i | −0.257339 | + | 0.707032i | ||||
\(115\) | 0.545759 | − | 3.09516i | 0.0508923 | − | 0.288625i | ||||
\(116\) | −1.40033 | + | 2.42544i | −0.130017 | + | 0.225197i | ||||
\(117\) | 4.31908 | + | 3.62414i | 0.399299 | + | 0.335052i | ||||
\(118\) | −2.66637 | − | 4.61830i | −0.245460 | − | 0.425149i | ||||
\(119\) | −1.11334 | + | 0.405223i | −0.102060 | + | 0.0371467i | ||||
\(120\) | 4.38571i | 0.400358i | ||||||||
\(121\) | −8.35504 | + | 7.01071i | −0.759549 | + | 0.637337i | ||||
\(122\) | −8.64930 | + | 7.25762i | −0.783071 | + | 0.657074i | ||||
\(123\) | 6.09256i | 0.549348i | ||||||||
\(124\) | 4.58512 | − | 1.66885i | 0.411756 | − | 0.149867i | ||||
\(125\) | −4.54323 | − | 7.86911i | −0.406359 | − | 0.703835i | ||||
\(126\) | −2.29813 | − | 1.92836i | −0.204734 | − | 0.171792i | ||||
\(127\) | 6.21301 | − | 10.7613i | 0.551316 | − | 0.954907i | −0.446864 | − | 0.894602i | \(-0.647459\pi\) |
0.998180 | − | 0.0603049i | \(-0.0192073\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 2.55051 | − | 7.00746i | 0.224560 | − | 0.616973i | ||||
\(130\) | −4.47178 | − | 1.62760i | −0.392201 | − | 0.142750i | ||||
\(131\) | −0.592396 | − | 3.35965i | −0.0517579 | − | 0.293534i | 0.947931 | − | 0.318476i | \(-0.103171\pi\) |
−0.999689 | + | 0.0249421i | \(0.992060\pi\) | |||||||
\(132\) | −0.520945 | − | 0.0918566i | −0.0453424 | − | 0.00799509i | ||||
\(133\) | 3.55303 | + | 2.98135i | 0.308087 | + | 0.258516i | ||||
\(134\) | −10.5740 | −0.913453 | ||||||||
\(135\) | −8.45723 | − | 10.0789i | −0.727883 | − | 0.867457i | ||||
\(136\) | 1.18479 | 0.101595 | ||||||||
\(137\) | 14.4042 | + | 12.0866i | 1.23063 | + | 1.03262i | 0.998198 | + | 0.0600128i | \(0.0191142\pi\) |
0.232436 | + | 0.972612i | \(0.425330\pi\) | |||||||
\(138\) | −0.735300 | − | 2.02022i | −0.0625929 | − | 0.171972i | ||||
\(139\) | 0.112159 | + | 0.636084i | 0.00951318 | + | 0.0539519i | 0.989195 | − | 0.146607i | \(-0.0468353\pi\) |
−0.979682 | + | 0.200559i | \(0.935724\pi\) | |||||||
\(140\) | 2.37939 | + | 0.866025i | 0.201095 | + | 0.0731925i | ||||
\(141\) | −10.2562 | − | 12.2229i | −0.863732 | − | 1.02936i | ||||
\(142\) | 2.35117 | − | 13.3341i | 0.197306 | − | 1.11898i | ||||
\(143\) | 0.286989 | − | 0.497079i | 0.0239992 | − | 0.0415679i | ||||
\(144\) | 1.50000 | + | 2.59808i | 0.125000 | + | 0.216506i | ||||
\(145\) | 3.54576 | + | 6.14144i | 0.294459 | + | 0.510018i | ||||
\(146\) | −0.307934 | + | 0.112079i | −0.0254848 | + | 0.00927569i | ||||
\(147\) | −1.50000 | + | 0.866025i | −0.123718 | + | 0.0714286i | ||||
\(148\) | −8.29086 | + | 6.95686i | −0.681504 | + | 0.571850i | ||||
\(149\) | −15.3498 | + | 12.8800i | −1.25751 | + | 1.05517i | −0.261564 | + | 0.965186i | \(0.584238\pi\) |
−0.995943 | + | 0.0899869i | \(0.971317\pi\) | |||||||
\(150\) | 2.11721 | + | 1.22237i | 0.172870 | + | 0.0998063i | ||||
\(151\) | 19.5719 | − | 7.12360i | 1.59274 | − | 0.579710i | 0.614816 | − | 0.788671i | \(-0.289230\pi\) |
0.977924 | + | 0.208961i | \(0.0670080\pi\) | |||||||
\(152\) | −2.31908 | − | 4.01676i | −0.188102 | − | 0.325802i | ||||
\(153\) | −2.72281 | + | 2.28471i | −0.220126 | + | 0.184708i | ||||
\(154\) | −0.152704 | + | 0.264490i | −0.0123052 | + | 0.0213132i | ||||
\(155\) | 2.14543 | − | 12.1673i | 0.172325 | − | 0.977304i | ||||
\(156\) | −3.20574 | + | 0.565258i | −0.256664 | + | 0.0452569i | ||||
\(157\) | 0.229208 | + | 0.0834248i | 0.0182928 | + | 0.00665803i | 0.351150 | − | 0.936319i | \(-0.385791\pi\) |
−0.332858 | + | 0.942977i | \(0.608013\pi\) | |||||||
\(158\) | 2.17752 | + | 12.3493i | 0.173234 | + | 0.982459i | ||||
\(159\) | −12.7135 | + | 15.1513i | −1.00824 | + | 1.20158i | ||||
\(160\) | −1.93969 | − | 1.62760i | −0.153346 | − | 0.128673i | ||||
\(161\) | −1.24123 | −0.0978226 | ||||||||
\(162\) | −8.45723 | − | 3.07818i | −0.664463 | − | 0.241845i | ||||
\(163\) | 7.49525 | 0.587073 | 0.293537 | − | 0.955948i | \(-0.405168\pi\) | ||||
0.293537 | + | 0.955948i | \(0.405168\pi\) | |||||||
\(164\) | −2.69459 | − | 2.26103i | −0.210412 | − | 0.176557i | ||||
\(165\) | −0.860967 | + | 1.02606i | −0.0670262 | + | 0.0798787i | ||||
\(166\) | −0.268571 | − | 1.52314i | −0.0208451 | − | 0.118219i | ||||
\(167\) | 8.46926 | + | 3.08256i | 0.655371 | + | 0.238535i | 0.648236 | − | 0.761439i | \(-0.275507\pi\) |
0.00713425 | + | 0.999975i | \(0.497729\pi\) | |||||||
\(168\) | 1.70574 | − | 0.300767i | 0.131600 | − | 0.0232047i | ||||
\(169\) | −1.64409 | + | 9.32407i | −0.126468 | + | 0.717236i | ||||
\(170\) | 1.50000 | − | 2.59808i | 0.115045 | − | 0.199263i | ||||
\(171\) | 13.0753 | + | 4.75903i | 0.999895 | + | 0.363932i | ||||
\(172\) | 2.15270 | + | 3.72859i | 0.164142 | + | 0.284302i | ||||
\(173\) | 10.6775 | − | 3.88630i | 0.811797 | − | 0.295470i | 0.0974309 | − | 0.995242i | \(-0.468938\pi\) |
0.714366 | + | 0.699772i | \(0.246715\pi\) | |||||||
\(174\) | 4.20099 | + | 2.42544i | 0.318476 | + | 0.183872i | ||||
\(175\) | 1.08125 | − | 0.907278i | 0.0817350 | − | 0.0685838i | ||||
\(176\) | 0.233956 | − | 0.196312i | 0.0176351 | − | 0.0147976i | ||||
\(177\) | −7.99912 | + | 4.61830i | −0.601251 | + | 0.347132i | ||||
\(178\) | 3.56418 | − | 1.29725i | 0.267146 | − | 0.0972333i | ||||
\(179\) | 2.77584 | + | 4.80790i | 0.207476 | + | 0.359360i | 0.950919 | − | 0.309440i | \(-0.100142\pi\) |
−0.743443 | + | 0.668800i | \(0.766808\pi\) | |||||||
\(180\) | 7.59627 | 0.566192 | ||||||||
\(181\) | 6.48680 | − | 11.2355i | 0.482160 | − | 0.835125i | −0.517631 | − | 0.855604i | \(-0.673186\pi\) |
0.999790 | + | 0.0204790i | \(0.00651914\pi\) | |||||||
\(182\) | −0.326352 | + | 1.85083i | −0.0241908 | + | 0.137193i | ||||
\(183\) | 12.5706 | + | 14.9810i | 0.929244 | + | 1.10743i | ||||
\(184\) | 1.16637 | + | 0.424525i | 0.0859862 | + | 0.0312964i | ||||
\(185\) | 4.75877 | + | 26.9883i | 0.349872 | + | 1.98422i | ||||
\(186\) | −2.89053 | − | 7.94166i | −0.211944 | − | 0.582311i | ||||
\(187\) | 0.277189 | + | 0.232589i | 0.0202701 | + | 0.0170086i | ||||
\(188\) | 9.21213 | 0.671864 | ||||||||
\(189\) | −3.34002 | + | 3.98048i | −0.242951 | + | 0.289538i | ||||
\(190\) | −11.7442 | −0.852015 | ||||||||
\(191\) | 2.10741 | + | 1.76833i | 0.152487 | + | 0.127952i | 0.715839 | − | 0.698265i | \(-0.246044\pi\) |
−0.563353 | + | 0.826217i | \(0.690489\pi\) | |||||||
\(192\) | −1.70574 | − | 0.300767i | −0.123101 | − | 0.0217060i | ||||
\(193\) | −0.503870 | − | 2.85759i | −0.0362694 | − | 0.205694i | 0.961288 | − | 0.275546i | \(-0.0888585\pi\) |
−0.997557 | + | 0.0698517i | \(0.977747\pi\) | |||||||
\(194\) | 3.65910 | + | 1.33180i | 0.262708 | + | 0.0956179i | ||||
\(195\) | −2.81908 | + | 7.74535i | −0.201878 | + | 0.554656i | ||||
\(196\) | 0.173648 | − | 0.984808i | 0.0124034 | − | 0.0703434i | ||||
\(197\) | 5.56670 | − | 9.64181i | 0.396611 | − | 0.686951i | −0.596694 | − | 0.802469i | \(-0.703519\pi\) |
0.993305 | + | 0.115518i | \(0.0368528\pi\) | |||||||
\(198\) | −0.159100 | + | 0.902302i | −0.0113068 | + | 0.0641238i | ||||
\(199\) | 12.2062 | + | 21.1418i | 0.865275 | + | 1.49870i | 0.866774 | + | 0.498701i | \(0.166189\pi\) |
−0.00149916 | + | 0.999999i | \(0.500477\pi\) | |||||||
\(200\) | −1.32635 | + | 0.482753i | −0.0937872 | + | 0.0341358i | ||||
\(201\) | 18.3147i | 1.29182i | ||||||||
\(202\) | 11.8439 | − | 9.93821i | 0.833333 | − | 0.699250i | ||||
\(203\) | 2.14543 | − | 1.80023i | 0.150580 | − | 0.126351i | ||||
\(204\) | − | 2.05212i | − | 0.143677i | ||||||
\(205\) | −8.36959 | + | 3.04628i | −0.584557 | + | 0.212761i | ||||
\(206\) | −6.73783 | − | 11.6703i | −0.469447 | − | 0.813105i | ||||
\(207\) | −3.49912 | + | 1.27358i | −0.243206 | + | 0.0885197i | ||||
\(208\) | 0.939693 | − | 1.62760i | 0.0651560 | − | 0.112853i | ||||
\(209\) | 0.245977 | − | 1.39501i | 0.0170146 | − | 0.0964946i | ||||
\(210\) | 1.50000 | − | 4.12122i | 0.103510 | − | 0.284391i | ||||
\(211\) | 10.7258 | + | 3.90387i | 0.738395 | + | 0.268754i | 0.683714 | − | 0.729750i | \(-0.260364\pi\) |
0.0546809 | + | 0.998504i | \(0.482586\pi\) | |||||||
\(212\) | −1.98293 | − | 11.2457i | −0.136188 | − | 0.772360i | ||||
\(213\) | −23.0954 | − | 4.07234i | −1.58247 | − | 0.279032i | ||||
\(214\) | 5.83409 | + | 4.89538i | 0.398810 | + | 0.334642i | ||||
\(215\) | 10.9017 | 0.743488 | ||||||||
\(216\) | 4.50000 | − | 2.59808i | 0.306186 | − | 0.176777i | ||||
\(217\) | −4.87939 | −0.331234 | ||||||||
\(218\) | 4.54710 | + | 3.81547i | 0.307969 | + | 0.258416i | ||||
\(219\) | 0.194126 | + | 0.533356i | 0.0131178 | + | 0.0360409i | ||||
\(220\) | −0.134285 | − | 0.761570i | −0.00905352 | − | 0.0513450i | ||||
\(221\) | 2.09240 | + | 0.761570i | 0.140750 | + | 0.0512287i | ||||
\(222\) | 12.0496 | + | 14.3602i | 0.808718 | + | 0.963793i | ||||
\(223\) | 4.12361 | − | 23.3861i | 0.276137 | − | 1.56605i | −0.459189 | − | 0.888339i | \(-0.651860\pi\) |
0.735326 | − | 0.677713i | \(-0.237029\pi\) | |||||||
\(224\) | −0.500000 | + | 0.866025i | −0.0334077 | + | 0.0578638i | ||||
\(225\) | 2.11721 | − | 3.66712i | 0.141147 | − | 0.244474i | ||||
\(226\) | 5.54189 | + | 9.59883i | 0.368641 | + | 0.638505i | ||||
\(227\) | 13.7208 | − | 4.99395i | 0.910678 | − | 0.331460i | 0.156155 | − | 0.987733i | \(-0.450090\pi\) |
0.754524 | + | 0.656273i | \(0.227868\pi\) | |||||||
\(228\) | −6.95723 | + | 4.01676i | −0.460754 | + | 0.266016i | ||||
\(229\) | −14.6591 | + | 12.3004i | −0.968701 | + | 0.812836i | −0.982346 | − | 0.187071i | \(-0.940101\pi\) |
0.0136459 | + | 0.999907i | \(0.495656\pi\) | |||||||
\(230\) | 2.40760 | − | 2.02022i | 0.158753 | − | 0.133209i | ||||
\(231\) | 0.458111 | + | 0.264490i | 0.0301415 | + | 0.0174022i | ||||
\(232\) | −2.63176 | + | 0.957882i | −0.172783 | + | 0.0628880i | ||||
\(233\) | 9.65183 | + | 16.7175i | 0.632312 | + | 1.09520i | 0.987078 | + | 0.160242i | \(0.0512273\pi\) |
−0.354766 | + | 0.934955i | \(0.615439\pi\) | |||||||
\(234\) | 0.979055 | + | 5.55250i | 0.0640029 | + | 0.362978i | ||||
\(235\) | 11.6630 | − | 20.2009i | 0.760808 | − | 1.31776i | ||||
\(236\) | 0.926022 | − | 5.25173i | 0.0602789 | − | 0.341859i | ||||
\(237\) | 21.3897 | − | 3.77157i | 1.38941 | − | 0.244990i | ||||
\(238\) | −1.11334 | − | 0.405223i | −0.0721672 | − | 0.0262667i | ||||
\(239\) | −1.67412 | − | 9.49438i | −0.108289 | − | 0.614140i | −0.989855 | − | 0.142079i | \(-0.954621\pi\) |
0.881566 | − | 0.472061i | \(-0.156490\pi\) | |||||||
\(240\) | −2.81908 | + | 3.35965i | −0.181971 | + | 0.216864i | ||||
\(241\) | −18.9119 | − | 15.8690i | −1.21823 | − | 1.02221i | −0.998916 | − | 0.0465570i | \(-0.985175\pi\) |
−0.219310 | − | 0.975655i | \(-0.570380\pi\) | |||||||
\(242\) | −10.9067 | −0.701111 | ||||||||
\(243\) | −5.33157 | + | 14.6484i | −0.342020 | + | 0.939693i | ||||
\(244\) | −11.2909 | −0.722823 | ||||||||
\(245\) | −1.93969 | − | 1.62760i | −0.123922 | − | 0.103983i | ||||
\(246\) | −3.91622 | + | 4.66717i | −0.249689 | + | 0.297568i | ||||
\(247\) | −1.51367 | − | 8.58445i | −0.0963126 | − | 0.546216i | ||||
\(248\) | 4.58512 | + | 1.66885i | 0.291156 | + | 0.105972i | ||||
\(249\) | −2.63816 | + | 0.465178i | −0.167186 | + | 0.0294795i | ||||
\(250\) | 1.57785 | − | 8.94842i | 0.0997919 | − | 0.565948i | ||||
\(251\) | −2.65657 | + | 4.60132i | −0.167681 | + | 0.290433i | −0.937604 | − | 0.347704i | \(-0.886961\pi\) |
0.769923 | + | 0.638137i | \(0.220295\pi\) | |||||||
\(252\) | −0.520945 | − | 2.95442i | −0.0328164 | − | 0.186111i | ||||
\(253\) | 0.189540 | + | 0.328293i | 0.0119163 | + | 0.0206396i | ||||
\(254\) | 11.6766 | − | 4.24995i | 0.732658 | − | 0.266666i | ||||
\(255\) | −4.50000 | − | 2.59808i | −0.281801 | − | 0.162698i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 6.74691 | − | 5.66133i | 0.420861 | − | 0.353144i | −0.407630 | − | 0.913147i | \(-0.633645\pi\) |
0.828490 | + | 0.560003i | \(0.189200\pi\) | |||||||
\(258\) | 6.45811 | − | 3.72859i | 0.402064 | − | 0.232132i | ||||
\(259\) | 10.1702 | − | 3.70167i | 0.631948 | − | 0.230010i | ||||
\(260\) | −2.37939 | − | 4.12122i | −0.147563 | − | 0.255587i | ||||
\(261\) | 4.20099 | − | 7.27633i | 0.260035 | − | 0.450393i | ||||
\(262\) | 1.70574 | − | 2.95442i | 0.105381 | − | 0.182525i | ||||
\(263\) | 0.950837 | − | 5.39246i | 0.0586311 | − | 0.332514i | −0.941357 | − | 0.337413i | \(-0.890448\pi\) |
0.999988 | + | 0.00489894i | \(0.00155939\pi\) | |||||||
\(264\) | −0.340022 | − | 0.405223i | −0.0209269 | − | 0.0249397i | ||||
\(265\) | −27.1707 | − | 9.88933i | −1.66908 | − | 0.607497i | ||||
\(266\) | 0.805407 | + | 4.56769i | 0.0493827 | + | 0.280063i | ||||
\(267\) | −2.24691 | − | 6.17334i | −0.137509 | − | 0.377802i | ||||
\(268\) | −8.10014 | − | 6.79682i | −0.494795 | − | 0.415182i | ||||
\(269\) | 14.0942 | 0.859339 | 0.429669 | − | 0.902986i | \(-0.358630\pi\) | ||||
0.429669 | + | 0.902986i | \(0.358630\pi\) | |||||||
\(270\) | − | 13.1571i | − | 0.800717i | ||||||
\(271\) | −30.6013 | −1.85890 | −0.929449 | − | 0.368951i | \(-0.879717\pi\) | ||||
−0.929449 | + | 0.368951i | \(0.879717\pi\) | |||||||
\(272\) | 0.907604 | + | 0.761570i | 0.0550316 | + | 0.0461770i | ||||
\(273\) | 3.20574 | + | 0.565258i | 0.194020 | + | 0.0342110i | ||||
\(274\) | 3.26517 | + | 18.5177i | 0.197256 | + | 1.11869i | ||||
\(275\) | −0.405078 | − | 0.147436i | −0.0244271 | − | 0.00889073i | ||||
\(276\) | 0.735300 | − | 2.02022i | 0.0442598 | − | 0.121603i | ||||
\(277\) | −2.46657 | + | 13.9886i | −0.148202 | + | 0.840493i | 0.816539 | + | 0.577290i | \(0.195890\pi\) |
−0.964741 | + | 0.263203i | \(0.915221\pi\) | |||||||
\(278\) | −0.322948 | + | 0.559363i | −0.0193691 | + | 0.0335484i | ||||
\(279\) | −13.7554 | + | 5.00654i | −0.823512 | + | 0.299734i | ||||
\(280\) | 1.26604 | + | 2.19285i | 0.0756606 | + | 0.131048i | ||||
\(281\) | 25.6805 | − | 9.34694i | 1.53197 | − | 0.557592i | 0.567868 | − | 0.823120i | \(-0.307768\pi\) |
0.964103 | + | 0.265528i | \(0.0855463\pi\) | |||||||
\(282\) | − | 15.9559i | − | 0.950159i | ||||||
\(283\) | 15.1382 | − | 12.7024i | 0.899870 | − | 0.755081i | −0.0702950 | − | 0.997526i | \(-0.522394\pi\) |
0.970165 | + | 0.242446i | \(0.0779496\pi\) | |||||||
\(284\) | 10.3721 | − | 8.70323i | 0.615472 | − | 0.516442i | ||||
\(285\) | 20.3416i | 1.20493i | ||||||||
\(286\) | 0.539363 | − | 0.196312i | 0.0318932 | − | 0.0116082i | ||||
\(287\) | 1.75877 | + | 3.04628i | 0.103817 | + | 0.179816i | ||||
\(288\) | −0.520945 | + | 2.95442i | −0.0306970 | + | 0.174091i | ||||
\(289\) | 7.79813 | − | 13.5068i | 0.458714 | − | 0.794515i | ||||
\(290\) | −1.23143 | + | 6.98378i | −0.0723120 | + | 0.410102i | ||||
\(291\) | 2.30675 | − | 6.33775i | 0.135224 | − | 0.371525i | ||||
\(292\) | −0.307934 | − | 0.112079i | −0.0180204 | − | 0.00655891i | ||||
\(293\) | −1.89528 | − | 10.7487i | −0.110723 | − | 0.627943i | −0.988779 | − | 0.149385i | \(-0.952271\pi\) |
0.878056 | − | 0.478558i | \(-0.158840\pi\) | |||||||
\(294\) | −1.70574 | − | 0.300767i | −0.0994806 | − | 0.0175411i | ||||
\(295\) | −10.3439 | − | 8.67956i | −0.602245 | − | 0.505343i | ||||
\(296\) | −10.8229 | −0.629071 | ||||||||
\(297\) | 1.56283 | + | 0.275570i | 0.0906848 | + | 0.0159902i | ||||
\(298\) | −20.0378 | −1.16076 | ||||||||
\(299\) | 1.78699 | + | 1.49946i | 0.103344 | + | 0.0867161i | ||||
\(300\) | 0.836152 | + | 2.29731i | 0.0482753 | + | 0.132635i | ||||
\(301\) | −0.747626 | − | 4.24000i | −0.0430925 | − | 0.244389i | ||||
\(302\) | 19.5719 | + | 7.12360i | 1.12624 | + | 0.409917i | ||||
\(303\) | −17.2135 | − | 20.5142i | −0.988888 | − | 1.17851i | ||||
\(304\) | 0.805407 | − | 4.56769i | 0.0461933 | − | 0.261975i | ||||
\(305\) | −14.2947 | + | 24.7592i | −0.818514 | + | 1.41771i | ||||
\(306\) | −3.55438 | −0.203190 | ||||||||
\(307\) | 10.4820 | + | 18.1554i | 0.598242 | + | 1.03619i | 0.993081 | + | 0.117435i | \(0.0374672\pi\) |
−0.394838 | + | 0.918751i | \(0.629199\pi\) | |||||||
\(308\) | −0.286989 | + | 0.104455i | −0.0163527 | + | 0.00595190i | ||||
\(309\) | −20.2135 | + | 11.6703i | −1.14990 | + | 0.663898i | ||||
\(310\) | 9.46451 | − | 7.94166i | 0.537548 | − | 0.451056i | ||||
\(311\) | −13.9363 | + | 11.6939i | −0.790254 | + | 0.663102i | −0.945808 | − | 0.324725i | \(-0.894728\pi\) |
0.155554 | + | 0.987827i | \(0.450284\pi\) | |||||||
\(312\) | −2.81908 | − | 1.62760i | −0.159599 | − | 0.0921444i | ||||
\(313\) | −16.8824 | + | 6.14468i | −0.954248 | + | 0.347318i | −0.771777 | − | 0.635893i | \(-0.780632\pi\) |
−0.182471 | + | 0.983211i | \(0.558410\pi\) | |||||||
\(314\) | 0.121959 | + | 0.211239i | 0.00688254 | + | 0.0119209i | ||||
\(315\) | −7.13816 | − | 2.59808i | −0.402190 | − | 0.146385i | ||||
\(316\) | −6.26991 | + | 10.8598i | −0.352710 | + | 0.610912i | ||||
\(317\) | −2.85369 | + | 16.1841i | −0.160279 | + | 0.908989i | 0.793520 | + | 0.608544i | \(0.208246\pi\) |
−0.953799 | + | 0.300445i | \(0.902865\pi\) | |||||||
\(318\) | −19.4782 | + | 3.43453i | −1.09228 | + | 0.192599i | ||||
\(319\) | −0.803758 | − | 0.292544i | −0.0450018 | − | 0.0163793i | ||||
\(320\) | −0.439693 | − | 2.49362i | −0.0245796 | − | 0.139398i | ||||
\(321\) | 8.47906 | − | 10.1049i | 0.473255 | − | 0.564003i | ||||
\(322\) | −0.950837 | − | 0.797847i | −0.0529881 | − | 0.0444623i | ||||
\(323\) | 5.49525 | 0.305764 | ||||||||
\(324\) | −4.50000 | − | 7.79423i | −0.250000 | − | 0.433013i | ||||
\(325\) | −2.65270 | −0.147146 | ||||||||
\(326\) | 5.74170 | + | 4.81786i | 0.318003 | + | 0.266836i | ||||
\(327\) | 6.60859 | − | 7.87581i | 0.365456 | − | 0.435534i | ||||
\(328\) | −0.610815 | − | 3.46410i | −0.0337266 | − | 0.191273i | ||||
\(329\) | −8.65657 | − | 3.15074i | −0.477252 | − | 0.173706i | ||||
\(330\) | −1.31908 | + | 0.232589i | −0.0726128 | + | 0.0128036i | ||||
\(331\) | 1.18345 | − | 6.71167i | 0.0650482 | − | 0.368907i | −0.934855 | − | 0.355028i | \(-0.884471\pi\) |
0.999904 | − | 0.0138782i | \(-0.00441772\pi\) | |||||||
\(332\) | 0.773318 | − | 1.33943i | 0.0424414 | − | 0.0735106i | ||||
\(333\) | 24.8726 | − | 20.8706i | 1.36301 | − | 1.14370i | ||||
\(334\) | 4.50640 | + | 7.80531i | 0.246579 | + | 0.427087i | ||||
\(335\) | −25.1596 | + | 9.15733i | −1.37461 | + | 0.500319i | ||||
\(336\) | 1.50000 | + | 0.866025i | 0.0818317 | + | 0.0472456i | ||||
\(337\) | −1.80335 | + | 1.51319i | −0.0982346 | + | 0.0824286i | −0.690582 | − | 0.723254i | \(-0.742646\pi\) |
0.592348 | + | 0.805682i | \(0.298201\pi\) | |||||||
\(338\) | −7.25284 | + | 6.08586i | −0.394503 | + | 0.331027i | ||||
\(339\) | 16.6257 | − | 9.59883i | 0.902982 | − | 0.521337i | ||||
\(340\) | 2.81908 | − | 1.02606i | 0.152886 | − | 0.0556459i | ||||
\(341\) | 0.745100 | + | 1.29055i | 0.0403494 | + | 0.0698872i | ||||
\(342\) | 6.95723 | + | 12.0503i | 0.376204 | + | 0.651605i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −0.747626 | + | 4.24000i | −0.0403093 | + | 0.228605i | ||||
\(345\) | −3.49912 | − | 4.17009i | −0.188386 | − | 0.224510i | ||||
\(346\) | 10.6775 | + | 3.88630i | 0.574027 | + | 0.208929i | ||||
\(347\) | −1.60947 | − | 9.12776i | −0.0864009 | − | 0.490004i | −0.997045 | − | 0.0768133i | \(-0.975525\pi\) |
0.910645 | − | 0.413191i | \(-0.135586\pi\) | |||||||
\(348\) | 1.65910 | + | 4.55834i | 0.0889371 | + | 0.244353i | ||||
\(349\) | −7.23577 | − | 6.07153i | −0.387322 | − | 0.325001i | 0.428247 | − | 0.903662i | \(-0.359131\pi\) |
−0.815569 | + | 0.578660i | \(0.803576\pi\) | |||||||
\(350\) | 1.41147 | 0.0754465 | ||||||||
\(351\) | 9.61721 | − | 1.69577i | 0.513329 | − | 0.0905137i | ||||
\(352\) | 0.305407 | 0.0162783 | ||||||||
\(353\) | 14.6250 | + | 12.2718i | 0.778408 | + | 0.653162i | 0.942847 | − | 0.333226i | \(-0.108137\pi\) |
−0.164439 | + | 0.986387i | \(0.552582\pi\) | |||||||
\(354\) | −9.09627 | − | 1.60392i | −0.483461 | − | 0.0852472i | ||||
\(355\) | −5.95336 | − | 33.7632i | −0.315972 | − | 1.79196i | ||||
\(356\) | 3.56418 | + | 1.29725i | 0.188901 | + | 0.0687544i | ||||
\(357\) | −0.701867 | + | 1.92836i | −0.0371467 | + | 0.102060i | ||||
\(358\) | −0.964041 | + | 5.46735i | −0.0509511 | + | 0.288958i | ||||
\(359\) | 3.12449 | − | 5.41177i | 0.164904 | − | 0.285622i | −0.771717 | − | 0.635966i | \(-0.780602\pi\) |
0.936621 | + | 0.350344i | \(0.113935\pi\) | |||||||
\(360\) | 5.81908 | + | 4.88279i | 0.306692 | + | 0.257345i | ||||
\(361\) | −1.25624 | − | 2.17588i | −0.0661181 | − | 0.114520i | ||||
\(362\) | 12.1912 | − | 4.43723i | 0.640755 | − | 0.233216i | ||||
\(363\) | 18.8910i | 0.991521i | ||||||||
\(364\) | −1.43969 | + | 1.20805i | −0.0754604 | + | 0.0633188i | ||||
\(365\) | −0.635630 | + | 0.533356i | −0.0332704 | + | 0.0279172i | ||||
\(366\) | 19.5563i | 1.02223i | ||||||||
\(367\) | −24.0043 | + | 8.73686i | −1.25302 | + | 0.456061i | −0.881420 | − | 0.472334i | \(-0.843412\pi\) |
−0.371596 | + | 0.928394i | \(0.621189\pi\) | |||||||
\(368\) | 0.620615 | + | 1.07494i | 0.0323518 | + | 0.0560349i | ||||
\(369\) | 8.08378 | + | 6.78310i | 0.420825 | + | 0.353114i | ||||
\(370\) | −13.7023 | + | 23.7331i | −0.712350 | + | 1.23383i | ||||
\(371\) | −1.98293 | + | 11.2457i | −0.102948 | + | 0.583849i | ||||
\(372\) | 2.89053 | − | 7.94166i | 0.149867 | − | 0.411756i | ||||
\(373\) | 4.09879 | + | 1.49184i | 0.212227 | + | 0.0772445i | 0.445946 | − | 0.895060i | \(-0.352867\pi\) |
−0.233719 | + | 0.972304i | \(0.575089\pi\) | |||||||
\(374\) | 0.0628336 | + | 0.356347i | 0.00324905 | + | 0.0184263i | ||||
\(375\) | −15.4991 | − | 2.73291i | −0.800371 | − | 0.141127i | ||||
\(376\) | 7.05690 | + | 5.92145i | 0.363932 | + | 0.305375i | ||||
\(377\) | −5.26352 | −0.271085 | ||||||||
\(378\) | −5.11721 | + | 0.902302i | −0.263201 | + | 0.0464094i | ||||
\(379\) | −10.4115 | −0.534802 | −0.267401 | − | 0.963585i | \(-0.586165\pi\) | ||||
−0.267401 | + | 0.963585i | \(0.586165\pi\) | |||||||
\(380\) | −8.99660 | − | 7.54904i | −0.461516 | − | 0.387258i | ||||
\(381\) | −7.36113 | − | 20.2245i | −0.377122 | − | 1.03613i | ||||
\(382\) | 0.477711 | + | 2.70924i | 0.0244418 | + | 0.138617i | ||||
\(383\) | −32.5869 | − | 11.8607i | −1.66511 | − | 0.606052i | −0.673960 | − | 0.738768i | \(-0.735408\pi\) |
−0.991154 | + | 0.132715i | \(0.957630\pi\) | |||||||
\(384\) | −1.11334 | − | 1.32683i | −0.0568149 | − | 0.0677094i | ||||
\(385\) | −0.134285 | + | 0.761570i | −0.00684381 | + | 0.0388132i | ||||
\(386\) | 1.45084 | − | 2.51292i | 0.0738457 | − | 0.127904i | ||||
\(387\) | −6.45811 | − | 11.1858i | −0.328284 | − | 0.568605i | ||||
\(388\) | 1.94697 | + | 3.37225i | 0.0988423 | + | 0.171200i | ||||
\(389\) | 20.6758 | − | 7.52536i | 1.04830 | − | 0.381551i | 0.240281 | − | 0.970703i | \(-0.422760\pi\) |
0.808022 | + | 0.589152i | \(0.200538\pi\) | |||||||
\(390\) | −7.13816 | + | 4.12122i | −0.361455 | + | 0.208686i | ||||
\(391\) | −1.12654 | + | 0.945283i | −0.0569718 | + | 0.0478050i | ||||
\(392\) | 0.766044 | − | 0.642788i | 0.0386911 | − | 0.0324657i | ||||
\(393\) | −5.11721 | − | 2.95442i | −0.258129 | − | 0.149031i | ||||
\(394\) | 10.4620 | − | 3.80785i | 0.527067 | − | 0.191837i | ||||
\(395\) | 15.8760 | + | 27.4980i | 0.798807 | + | 1.38357i | ||||
\(396\) | −0.701867 | + | 0.588936i | −0.0352701 | + | 0.0295952i | ||||
\(397\) | −10.3032 | + | 17.8456i | −0.517102 | + | 0.895647i | 0.482701 | + | 0.875785i | \(0.339656\pi\) |
−0.999803 | + | 0.0198617i | \(0.993677\pi\) | |||||||
\(398\) | −4.23917 | + | 24.0415i | −0.212490 | + | 1.20509i | ||||
\(399\) | 7.91147 | − | 1.39501i | 0.396069 | − | 0.0698377i | ||||
\(400\) | −1.32635 | − | 0.482753i | −0.0663176 | − | 0.0241376i | ||||
\(401\) | −5.05257 | − | 28.6545i | −0.252313 | − | 1.43094i | −0.802876 | − | 0.596145i | \(-0.796698\pi\) |
0.550563 | − | 0.834793i | \(-0.314413\pi\) | |||||||
\(402\) | −11.7724 | + | 14.0298i | −0.587156 | + | 0.699745i | ||||
\(403\) | 7.02481 | + | 5.89452i | 0.349931 | + | 0.293627i | ||||
\(404\) | 15.4611 | 0.769219 | ||||||||
\(405\) | −22.7888 | −1.13238 | ||||||||
\(406\) | 2.80066 | 0.138994 | ||||||||
\(407\) | −2.53209 | − | 2.12467i | −0.125511 | − | 0.105316i | ||||
\(408\) | 1.31908 | − | 1.57202i | 0.0653041 | − | 0.0778264i | ||||
\(409\) | 2.04142 | + | 11.5775i | 0.100942 | + | 0.572470i | 0.992764 | + | 0.120083i | \(0.0383161\pi\) |
−0.891822 | + | 0.452386i | \(0.850573\pi\) | |||||||
\(410\) | −8.36959 | − | 3.04628i | −0.413344 | − | 0.150445i | ||||
\(411\) | 32.0736 | − | 5.65544i | 1.58207 | − | 0.278962i | ||||
\(412\) | 2.34002 | − | 13.2709i | 0.115285 | − | 0.653812i | ||||
\(413\) | −2.66637 | + | 4.61830i | −0.131204 | + | 0.227251i | ||||
\(414\) | −3.49912 | − | 1.27358i | −0.171972 | − | 0.0625929i | ||||
\(415\) | −1.95811 | − | 3.39155i | −0.0961199 | − | 0.166485i | ||||
\(416\) | 1.76604 | − | 0.642788i | 0.0865875 | − | 0.0315153i | ||||
\(417\) | 0.968845 | + | 0.559363i | 0.0474445 | + | 0.0273921i | ||||
\(418\) | 1.08512 | − | 0.910526i | 0.0530751 | − | 0.0445353i | ||||
\(419\) | −15.2554 | + | 12.8008i | −0.745273 | + | 0.625359i | −0.934248 | − | 0.356623i | \(-0.883928\pi\) |
0.188975 | + | 0.981982i | \(0.439484\pi\) | |||||||
\(420\) | 3.79813 | − | 2.19285i | 0.185330 | − | 0.107000i | ||||
\(421\) | −10.6985 | + | 3.89392i | −0.521411 | + | 0.189778i | −0.589299 | − | 0.807915i | \(-0.700596\pi\) |
0.0678881 | + | 0.997693i | \(0.478374\pi\) | |||||||
\(422\) | 5.70708 | + | 9.88495i | 0.277816 | + | 0.481192i | ||||
\(423\) | −27.6364 | −1.34373 | ||||||||
\(424\) | 5.70961 | − | 9.88933i | 0.277283 | − | 0.480268i | ||||
\(425\) | 0.290393 | − | 1.64690i | 0.0140861 | − | 0.0798863i | ||||
\(426\) | −15.0744 | − | 17.9650i | −0.730359 | − | 0.870408i | ||||
\(427\) | 10.6099 | + | 3.86170i | 0.513451 | + | 0.186881i | ||||
\(428\) | 1.32248 | + | 7.50016i | 0.0639246 | + | 0.362534i | ||||
\(429\) | −0.340022 | − | 0.934204i | −0.0164164 | − | 0.0451038i | ||||
\(430\) | 8.35117 | + | 7.00746i | 0.402729 | + | 0.337930i | ||||
\(431\) | −28.5398 | −1.37472 | −0.687358 | − | 0.726319i | \(-0.741229\pi\) | ||||
−0.687358 | + | 0.726319i | \(0.741229\pi\) | |||||||
\(432\) | 5.11721 | + | 0.902302i | 0.246202 | + | 0.0434120i | ||||
\(433\) | −12.4388 | −0.597771 | −0.298886 | − | 0.954289i | \(-0.596615\pi\) | ||||
−0.298886 | + | 0.954289i | \(0.596615\pi\) | |||||||
\(434\) | −3.73783 | − | 3.13641i | −0.179421 | − | 0.150552i | ||||
\(435\) | 12.0963 | + | 2.13290i | 0.579972 | + | 0.102265i | ||||
\(436\) | 1.03074 | + | 5.84564i | 0.0493637 | + | 0.279956i | ||||
\(437\) | 5.40983 | + | 1.96902i | 0.258787 | + | 0.0941908i | ||||
\(438\) | −0.194126 | + | 0.533356i | −0.00927569 | + | 0.0254848i | ||||
\(439\) | 6.32651 | − | 35.8794i | 0.301948 | − | 1.71243i | −0.335585 | − | 0.942010i | \(-0.608934\pi\) |
0.637533 | − | 0.770423i | \(-0.279955\pi\) | |||||||
\(440\) | 0.386659 | − | 0.669713i | 0.0184333 | − | 0.0319273i | ||||
\(441\) | −0.520945 | + | 2.95442i | −0.0248069 | + | 0.140687i | ||||
\(442\) | 1.11334 | + | 1.92836i | 0.0529562 | + | 0.0917229i | ||||
\(443\) | −21.2738 | + | 7.74302i | −1.01075 | + | 0.367882i | −0.793720 | − | 0.608283i | \(-0.791859\pi\) |
−0.217028 | + | 0.976165i | \(0.569636\pi\) | |||||||
\(444\) | 18.7459i | 0.889641i | ||||||||
\(445\) | 7.35710 | − | 6.17334i | 0.348760 | − | 0.292644i | ||||
\(446\) | 18.1912 | − | 15.2642i | 0.861378 | − | 0.722782i | ||||
\(447\) | 34.7064i | 1.64156i | ||||||||
\(448\) | −0.939693 | + | 0.342020i | −0.0443963 | + | 0.0161589i | ||||
\(449\) | −14.7408 | − | 25.5318i | −0.695662 | − | 1.20492i | −0.969957 | − | 0.243277i | \(-0.921778\pi\) |
0.274295 | − | 0.961646i | \(-0.411556\pi\) | |||||||
\(450\) | 3.97906 | − | 1.44826i | 0.187574 | − | 0.0682715i | ||||
\(451\) | 0.537141 | − | 0.930356i | 0.0252930 | − | 0.0438088i | ||||
\(452\) | −1.92468 | + | 10.9154i | −0.0905292 | + | 0.513417i | ||||
\(453\) | 12.3384 | − | 33.8996i | 0.579710 | − | 1.59274i | ||||
\(454\) | 13.7208 | + | 4.99395i | 0.643947 | + | 0.234377i | ||||
\(455\) | 0.826352 | + | 4.68647i | 0.0387400 | + | 0.219705i | ||||
\(456\) | −7.91147 | − | 1.39501i | −0.370489 | − | 0.0653272i | ||||
\(457\) | 16.2561 | + | 13.6405i | 0.760427 | + | 0.638074i | 0.938238 | − | 0.345990i | \(-0.112457\pi\) |
−0.177811 | + | 0.984065i | \(0.556901\pi\) | |||||||
\(458\) | −19.1361 | −0.894171 | ||||||||
\(459\) | 6.15636i | 0.287354i | ||||||||
\(460\) | 3.14290 | 0.146539 | ||||||||
\(461\) | −21.2041 | − | 17.7924i | −0.987575 | − | 0.828674i | −0.00236055 | − | 0.999997i | \(-0.500751\pi\) |
−0.985215 | + | 0.171323i | \(0.945196\pi\) | |||||||
\(462\) | 0.180922 | + | 0.497079i | 0.00841726 | + | 0.0231262i | ||||
\(463\) | 4.97400 | + | 28.2090i | 0.231162 | + | 1.31098i | 0.850549 | + | 0.525896i | \(0.176270\pi\) |
−0.619387 | + | 0.785086i | \(0.712619\pi\) | |||||||
\(464\) | −2.63176 | − | 0.957882i | −0.122176 | − | 0.0444686i | ||||
\(465\) | −13.7554 | − | 16.3930i | −0.637890 | − | 0.760208i | ||||
\(466\) | −3.35204 | + | 19.0104i | −0.155280 | + | 0.880639i | ||||
\(467\) | −4.31908 | + | 7.48086i | −0.199863 | + | 0.346173i | −0.948484 | − | 0.316825i | \(-0.897383\pi\) |
0.748621 | + | 0.662998i | \(0.230716\pi\) | |||||||
\(468\) | −2.81908 | + | 4.88279i | −0.130312 | + | 0.225707i | ||||
\(469\) | 5.28699 | + | 9.15733i | 0.244130 | + | 0.422846i | ||||
\(470\) | 21.9192 | − | 7.97794i | 1.01106 | − | 0.367995i | ||||
\(471\) | 0.365877 | − | 0.211239i | 0.0168587 | − | 0.00973338i | ||||
\(472\) | 4.08512 | − | 3.42782i | 0.188033 | − | 0.157778i | ||||
\(473\) | −1.00727 | + | 0.845203i | −0.0463145 | + | 0.0388625i | ||||
\(474\) | 18.8097 | + | 10.8598i | 0.863960 | + | 0.498808i | ||||
\(475\) | −6.15183 | + | 2.23908i | −0.282265 | + | 0.102736i | ||||
\(476\) | −0.592396 | − | 1.02606i | −0.0271524 | − | 0.0470294i | ||||
\(477\) | 5.94878 | + | 33.7372i | 0.272376 | + | 1.54472i | ||||
\(478\) | 4.82042 | − | 8.34922i | 0.220481 | − | 0.381884i | ||||
\(479\) | 4.58647 | − | 26.0111i | 0.209561 | − | 1.18848i | −0.680538 | − | 0.732713i | \(-0.738254\pi\) |
0.890099 | − | 0.455767i | \(-0.150635\pi\) | |||||||
\(480\) | −4.31908 | + | 0.761570i | −0.197138 | + | 0.0347608i | ||||
\(481\) | −19.1138 | − | 6.95686i | −0.871515 | − | 0.317205i | ||||
\(482\) | −4.28699 | − | 24.3127i | −0.195267 | − | 1.10741i | ||||
\(483\) | −1.38191 | + | 1.64690i | −0.0628791 | + | 0.0749365i | ||||
\(484\) | −8.35504 | − | 7.01071i | −0.379774 | − | 0.318669i | ||||
\(485\) | 9.85978 | 0.447710 | ||||||||
\(486\) | −13.5000 | + | 7.79423i | −0.612372 | + | 0.353553i | ||||
\(487\) | 17.0993 | 0.774841 | 0.387421 | − | 0.921903i | \(-0.373366\pi\) | ||||
0.387421 | + | 0.921903i | \(0.373366\pi\) | |||||||
\(488\) | −8.64930 | − | 7.25762i | −0.391535 | − | 0.328537i | ||||
\(489\) | 8.34477 | − | 9.94491i | 0.377364 | − | 0.449724i | ||||
\(490\) | −0.439693 | − | 2.49362i | −0.0198633 | − | 0.112650i | ||||
\(491\) | −9.21853 | − | 3.35527i | −0.416026 | − | 0.151421i | 0.125522 | − | 0.992091i | \(-0.459939\pi\) |
−0.541548 | + | 0.840670i | \(0.682162\pi\) | |||||||
\(492\) | −6.00000 | + | 1.05796i | −0.270501 | + | 0.0476966i | ||||
\(493\) | 0.576199 | − | 3.26779i | 0.0259507 | − | 0.147174i | ||||
\(494\) | 4.35844 | − | 7.54904i | 0.196096 | − | 0.339647i | ||||
\(495\) | 0.402856 | + | 2.28471i | 0.0181070 | + | 0.102690i | ||||
\(496\) | 2.43969 | + | 4.22567i | 0.109545 | + | 0.189738i | ||||
\(497\) | −12.7233 | + | 4.63089i | −0.570717 | + | 0.207724i | ||||
\(498\) | −2.31996 | − | 1.33943i | −0.103960 | − | 0.0600211i | ||||
\(499\) | 5.09808 | − | 4.27780i | 0.228221 | − | 0.191500i | −0.521505 | − | 0.853248i | \(-0.674629\pi\) |
0.749727 | + | 0.661748i | \(0.230185\pi\) | |||||||
\(500\) | 6.96064 | − | 5.84067i | 0.311289 | − | 0.261203i | ||||
\(501\) | 13.5192 | − | 7.80531i | 0.603993 | − | 0.348715i | ||||
\(502\) | −4.99273 | + | 1.81720i | −0.222836 | + | 0.0811058i | ||||
\(503\) | 7.98932 | + | 13.8379i | 0.356226 | + | 0.617002i | 0.987327 | − | 0.158699i | \(-0.0507299\pi\) |
−0.631101 | + | 0.775701i | \(0.717397\pi\) | |||||||
\(504\) | 1.50000 | − | 2.59808i | 0.0668153 | − | 0.115728i | ||||
\(505\) | 19.5744 | − | 33.9039i | 0.871051 | − | 1.50871i | ||||
\(506\) | −0.0658266 | + | 0.373321i | −0.00292635 | + | 0.0165962i | ||||
\(507\) | 10.5410 | + | 12.5623i | 0.468143 | + | 0.557911i | ||||
\(508\) | 11.6766 | + | 4.24995i | 0.518067 | + | 0.188561i | ||||
\(509\) | −7.33750 | − | 41.6130i | −0.325229 | − | 1.84446i | −0.508062 | − | 0.861320i | \(-0.669638\pi\) |
0.182834 | − | 0.983144i | \(-0.441473\pi\) | |||||||
\(510\) | −1.77719 | − | 4.88279i | −0.0786952 | − | 0.216213i | ||||
\(511\) | 0.251030 | + | 0.210639i | 0.0111049 | + | 0.00931812i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 20.8717 | − | 12.0503i | 0.921508 | − | 0.532033i | ||||
\(514\) | 8.80747 | 0.388481 | ||||||||
\(515\) | −26.1386 | − | 21.9329i | −1.15181 | − | 0.966479i | ||||
\(516\) | 7.34389 | + | 1.29493i | 0.323297 | + | 0.0570060i | ||||
\(517\) | 0.488551 | + | 2.77071i | 0.0214864 | + | 0.121856i | ||||
\(518\) | 10.1702 | + | 3.70167i | 0.446855 | + | 0.162642i | ||||
\(519\) | 6.73127 | − | 18.4940i | 0.295470 | − | 0.811797i | ||||
\(520\) | 0.826352 | − | 4.68647i | 0.0362379 | − | 0.205515i | ||||
\(521\) | −6.67705 | + | 11.5650i | −0.292527 | + | 0.506672i | −0.974407 | − | 0.224793i | \(-0.927829\pi\) |
0.681880 | + | 0.731464i | \(0.261163\pi\) | |||||||
\(522\) | 7.89528 | − | 2.87365i | 0.345567 | − | 0.125776i | ||||
\(523\) | −4.58260 | − | 7.93729i | −0.200383 | − | 0.347073i | 0.748269 | − | 0.663396i | \(-0.230885\pi\) |
−0.948652 | + | 0.316322i | \(0.897552\pi\) | |||||||
\(524\) | 3.20574 | − | 1.16679i | 0.140043 | − | 0.0509716i | ||||
\(525\) | − | 2.44474i | − | 0.106697i | ||||||
\(526\) | 4.19459 | − | 3.51968i | 0.182893 | − | 0.153465i | ||||
\(527\) | −4.42855 | + | 3.71599i | −0.192911 | + | 0.161871i | ||||
\(528\) | − | 0.528981i | − | 0.0230209i | ||||||
\(529\) | 20.1652 | − | 7.33953i | 0.876747 | − | 0.319110i | ||||
\(530\) | −14.4572 | − | 25.0407i | −0.627982 | − | 1.08770i | ||||
\(531\) | −2.77807 | + | 15.7552i | −0.120558 | + | 0.683717i | ||||
\(532\) | −2.31908 | + | 4.01676i | −0.100545 | + | 0.174149i | ||||
\(533\) | 1.14796 | − | 6.51038i | 0.0497235 | − | 0.281996i | ||||
\(534\) | 2.24691 | − | 6.17334i | 0.0972333 | − | 0.267146i | ||||
\(535\) | 18.1211 | + | 6.59553i | 0.783443 | + | 0.285150i | ||||
\(536\) | −1.83615 | − | 10.4133i | −0.0793097 | − | 0.449788i | ||||
\(537\) | 9.46972 | + | 1.66977i | 0.408649 | + | 0.0720558i | ||||
\(538\) | 10.7968 | + | 9.05958i | 0.465483 | + | 0.390586i | ||||
\(539\) | 0.305407 | 0.0131548 | ||||||||
\(540\) | 8.45723 | − | 10.0789i | 0.363941 | − | 0.433728i | ||||
\(541\) | −12.0401 | −0.517646 | −0.258823 | − | 0.965925i | \(-0.583335\pi\) | ||||
−0.258823 | + | 0.965925i | \(0.583335\pi\) | |||||||
\(542\) | −23.4420 | − | 19.6701i | −1.00692 | − | 0.844905i | ||||
\(543\) | −7.68551 | − | 21.1158i | −0.329817 | − | 0.906164i | ||||
\(544\) | 0.205737 | + | 1.16679i | 0.00882090 | + | 0.0500258i | ||||
\(545\) | 14.1236 | + | 5.14057i | 0.604989 | + | 0.220198i | ||||
\(546\) | 2.09240 | + | 2.49362i | 0.0895463 | + | 0.106717i | ||||
\(547\) | −5.97209 | + | 33.8694i | −0.255348 | + | 1.44815i | 0.539830 | + | 0.841774i | \(0.318489\pi\) |
−0.795178 | + | 0.606376i | \(0.792623\pi\) | |||||||
\(548\) | −9.40167 | + | 16.2842i | −0.401620 | + | 0.695626i | ||||
\(549\) | 33.8726 | 1.44565 | ||||||||
\(550\) | −0.215537 | − | 0.373321i | −0.00919054 | − | 0.0159185i | ||||
\(551\) | −12.2065 | + | 4.44281i | −0.520015 | + | 0.189270i | ||||
\(552\) | 1.86184 | − | 1.07494i | 0.0792454 | − | 0.0457523i | ||||
\(553\) | 9.60607 | − | 8.06045i | 0.408492 | − | 0.342765i | ||||
\(554\) | −10.8812 | + | 9.13041i | −0.462298 | + | 0.387914i | ||||
\(555\) | 41.1070 | + | 23.7331i | 1.74489 | + | 1.00742i | ||||
\(556\) | −0.606944 | + | 0.220910i | −0.0257402 | + | 0.00936865i | ||||
\(557\) | 2.87551 | + | 4.98054i | 0.121839 | + | 0.211032i | 0.920493 | − | 0.390759i | \(-0.127787\pi\) |
−0.798654 | + | 0.601791i | \(0.794454\pi\) | |||||||
\(558\) | −13.7554 | − | 5.00654i | −0.582311 | − | 0.211944i | ||||
\(559\) | −4.04576 | + | 7.00746i | −0.171117 | + | 0.296384i | ||||
\(560\) | −0.439693 | + | 2.49362i | −0.0185804 | + | 0.105375i | ||||
\(561\) | 0.617211 | − | 0.108831i | 0.0260587 | − | 0.00459485i | ||||
\(562\) | 25.6805 | + | 9.34694i | 1.08327 | + | 0.394277i | ||||
\(563\) | 7.79039 | + | 44.1815i | 0.328326 | + | 1.86203i | 0.485190 | + | 0.874409i | \(0.338750\pi\) |
−0.156864 | + | 0.987620i | \(0.550139\pi\) | |||||||
\(564\) | 10.2562 | − | 12.2229i | 0.431866 | − | 0.514678i | ||||
\(565\) | 21.4991 | + | 18.0399i | 0.904475 | + | 0.758945i | ||||
\(566\) | 19.7615 | 0.830636 | ||||||||
\(567\) | 1.56283 | + | 8.86327i | 0.0656328 | + | 0.372222i | ||||
\(568\) | 13.5398 | 0.568119 | ||||||||
\(569\) | 17.8255 | + | 14.9573i | 0.747283 | + | 0.627045i | 0.934783 | − | 0.355220i | \(-0.115594\pi\) |
−0.187500 | + | 0.982265i | \(0.560038\pi\) | |||||||
\(570\) | −13.0753 | + | 15.5826i | −0.547665 | + | 0.652682i | ||||
\(571\) | 4.12361 | + | 23.3861i | 0.172568 | + | 0.978680i | 0.940914 | + | 0.338645i | \(0.109969\pi\) |
−0.768346 | + | 0.640034i | \(0.778920\pi\) | |||||||
\(572\) | 0.539363 | + | 0.196312i | 0.0225519 | + | 0.00820822i | ||||
\(573\) | 4.69253 | − | 0.827420i | 0.196033 | − | 0.0345660i | ||||
\(574\) | −0.610815 | + | 3.46410i | −0.0254949 | + | 0.144589i | ||||
\(575\) | 0.875982 | − | 1.51724i | 0.0365310 | − | 0.0632735i | ||||
\(576\) | −2.29813 | + | 1.92836i | −0.0957556 | + | 0.0803485i | ||||
\(577\) | −5.41875 | − | 9.38555i | −0.225585 | − | 0.390725i | 0.730909 | − | 0.682474i | \(-0.239096\pi\) |
−0.956495 | + | 0.291749i | \(0.905763\pi\) | |||||||
\(578\) | 14.6557 | − | 5.33424i | 0.609597 | − | 0.221875i | ||||
\(579\) | −4.35251 | − | 2.51292i | −0.180884 | − | 0.104434i | ||||
\(580\) | −5.43242 | + | 4.55834i | −0.225569 | + | 0.189275i | ||||
\(581\) | −1.18479 | + | 0.994159i | −0.0491535 | + | 0.0412447i | ||||
\(582\) | 5.84090 | − | 3.37225i | 0.242113 | − | 0.139784i | ||||
\(583\) | 3.27719 | − | 1.19280i | 0.135727 | − | 0.0494007i | ||||
\(584\) | −0.163848 | − | 0.283793i | −0.00678008 | − | 0.0117434i | ||||
\(585\) | 7.13816 | + | 12.3636i | 0.295126 | + | 0.511174i | ||||
\(586\) | 5.45723 | − | 9.45221i | 0.225436 | − | 0.390467i | ||||
\(587\) | 0.271974 | − | 1.54244i | 0.0112256 | − | 0.0636634i | −0.978680 | − | 0.205389i | \(-0.934154\pi\) |
0.989906 | + | 0.141726i | \(0.0452651\pi\) | |||||||
\(588\) | −1.11334 | − | 1.32683i | −0.0459134 | − | 0.0547175i | ||||
\(589\) | 21.2665 | + | 7.74038i | 0.876271 | + | 0.318937i | ||||
\(590\) | −2.34477 | − | 13.2979i | −0.0965327 | − | 0.547464i | ||||
\(591\) | −6.59539 | − | 18.1207i | −0.271298 | − | 0.745385i | ||||
\(592\) | −8.29086 | − | 6.95686i | −0.340752 | − | 0.285925i | ||||
\(593\) | 44.1634 | 1.81358 | 0.906788 | − | 0.421588i | \(-0.138527\pi\) | ||||
0.906788 | + | 0.421588i | \(0.138527\pi\) | |||||||
\(594\) | 1.02007 | + | 1.21567i | 0.0418539 | + | 0.0498795i | ||||
\(595\) | −3.00000 | −0.122988 | ||||||||
\(596\) | −15.3498 | − | 12.8800i | −0.628753 | − | 0.527587i | ||||
\(597\) | 41.6411 | + | 7.34246i | 1.70426 | + | 0.300507i | ||||
\(598\) | 0.405078 | + | 2.29731i | 0.0165649 | + | 0.0939439i | ||||
\(599\) | −28.4736 | − | 10.3635i | −1.16340 | − | 0.423443i | −0.313089 | − | 0.949724i | \(-0.601364\pi\) |
−0.850311 | + | 0.526281i | \(0.823586\pi\) | |||||||
\(600\) | −0.836152 | + | 2.29731i | −0.0341358 | + | 0.0937872i | ||||
\(601\) | −6.22849 | + | 35.3235i | −0.254066 | + | 1.44088i | 0.544395 | + | 0.838829i | \(0.316759\pi\) |
−0.798460 | + | 0.602048i | \(0.794352\pi\) | |||||||
\(602\) | 2.15270 | − | 3.72859i | 0.0877377 | − | 0.151966i | ||||
\(603\) | 24.3004 | + | 20.3905i | 0.989589 | + | 0.830364i | ||||
\(604\) | 10.4140 | + | 18.0376i | 0.423740 | + | 0.733939i | ||||
\(605\) | −25.9513 | + | 9.44550i | −1.05507 | + | 0.384014i | ||||
\(606\) | − | 26.7794i | − | 1.08784i | ||||||
\(607\) | −7.85916 | + | 6.59461i | −0.318993 | + | 0.267667i | −0.788197 | − | 0.615423i | \(-0.788985\pi\) |
0.469204 | + | 0.883090i | \(0.344541\pi\) | |||||||
\(608\) | 3.55303 | − | 2.98135i | 0.144095 | − | 0.120910i | ||||
\(609\) | − | 4.85088i | − | 0.196568i | ||||||
\(610\) | −26.8653 | + | 9.77817i | −1.08774 | + | 0.395907i | ||||
\(611\) | 8.65657 | + | 14.9936i | 0.350208 | + | 0.606577i | ||||
\(612\) | −2.72281 | − | 2.28471i | −0.110063 | − | 0.0923539i | ||||
\(613\) | 18.2713 | − | 31.6467i | 0.737969 | − | 1.27820i | −0.215439 | − | 0.976517i | \(-0.569118\pi\) |
0.953408 | − | 0.301683i | \(-0.0975484\pi\) | |||||||
\(614\) | −3.64038 | + | 20.6456i | −0.146914 | + | 0.833189i | ||||
\(615\) | −5.27631 | + | 14.4965i | −0.212761 | + | 0.584557i | ||||
\(616\) | −0.286989 | − | 0.104455i | −0.0115631 | − | 0.00420863i | ||||
\(617\) | 5.91694 | + | 33.5566i | 0.238207 | + | 1.35094i | 0.835754 | + | 0.549105i | \(0.185031\pi\) |
−0.597547 | + | 0.801834i | \(0.703858\pi\) | |||||||
\(618\) | −22.9859 | − | 4.05304i | −0.924629 | − | 0.163037i | ||||
\(619\) | 31.0371 | + | 26.0433i | 1.24749 | + | 1.04677i | 0.996900 | + | 0.0786728i | \(0.0250682\pi\) |
0.250588 | + | 0.968094i | \(0.419376\pi\) | |||||||
\(620\) | 12.3550 | 0.496190 | ||||||||
\(621\) | −2.20590 | + | 6.06066i | −0.0885197 | + | 0.243206i | ||||
\(622\) | −18.1925 | −0.729454 | ||||||||
\(623\) | −2.90554 | − | 2.43804i | −0.116408 | − | 0.0976781i | ||||
\(624\) | −1.11334 | − | 3.05888i | −0.0445693 | − | 0.122453i | ||||
\(625\) | −5.22075 | − | 29.6084i | −0.208830 | − | 1.18433i | ||||
\(626\) | −16.8824 | − | 6.14468i | −0.674756 | − | 0.245591i | ||||
\(627\) | −1.57708 | − | 1.87949i | −0.0629824 | − | 0.0750595i | ||||
\(628\) | −0.0423559 | + | 0.240212i | −0.00169018 | + | 0.00958551i | ||||
\(629\) | 6.41147 | − | 11.1050i | 0.255642 | − | 0.442785i | ||||
\(630\) | −3.79813 | − | 6.57856i | −0.151321 | − | 0.262096i | ||||
\(631\) | −8.83140 | − | 15.2964i | −0.351573 | − | 0.608942i | 0.634953 | − | 0.772551i | \(-0.281020\pi\) |
−0.986525 | + | 0.163609i | \(0.947686\pi\) | |||||||
\(632\) | −11.7836 | + | 4.28887i | −0.468726 | + | 0.170602i | ||||
\(633\) | 17.1212 | − | 9.88495i | 0.680508 | − | 0.392892i | ||||
\(634\) | −12.5890 | + | 10.5634i | −0.499973 | + | 0.419527i | ||||
\(635\) | 24.1027 | − | 20.2245i | 0.956485 | − | 0.802586i | ||||
\(636\) | −17.1288 | − | 9.88933i | −0.679202 | − | 0.392137i | ||||
\(637\) | 1.76604 | − | 0.642788i | 0.0699732 | − | 0.0254682i | ||||
\(638\) | −0.427671 | − | 0.740748i | −0.0169317 | − | 0.0293265i | ||||
\(639\) | −31.1163 | + | 26.1097i | −1.23094 | + | 1.03288i | ||||
\(640\) | 1.26604 | − | 2.19285i | 0.0500448 | − | 0.0866801i | ||||
\(641\) | 2.46884 | − | 14.0015i | 0.0975135 | − | 0.553027i | −0.896435 | − | 0.443176i | \(-0.853852\pi\) |
0.993948 | − | 0.109851i | \(-0.0350372\pi\) | |||||||
\(642\) | 12.9907 | − | 2.29061i | 0.512701 | − | 0.0904030i | ||||
\(643\) | 0.654925 | + | 0.238373i | 0.0258277 | + | 0.00940052i | 0.354902 | − | 0.934904i | \(-0.384514\pi\) |
−0.329074 | + | 0.944304i | \(0.606737\pi\) | |||||||
\(644\) | −0.215537 | − | 1.22237i | −0.00849336 | − | 0.0481682i | ||||
\(645\) | 12.1373 | − | 14.4646i | 0.477905 | − | 0.569545i | ||||
\(646\) | 4.20961 | + | 3.53228i | 0.165625 | + | 0.138976i | ||||
\(647\) | −36.5499 | −1.43693 | −0.718463 | − | 0.695565i | \(-0.755154\pi\) | ||||
−0.718463 | + | 0.695565i | \(0.755154\pi\) | |||||||
\(648\) | 1.56283 | − | 8.86327i | 0.0613939 | − | 0.348182i | ||||
\(649\) | 1.62866 | 0.0639305 | ||||||||
\(650\) | −2.03209 | − | 1.70513i | −0.0797051 | − | 0.0668805i | ||||
\(651\) | −5.43242 | + | 6.47410i | −0.212913 | + | 0.253740i | ||||
\(652\) | 1.30154 | + | 7.38138i | 0.0509721 | + | 0.289077i | ||||
\(653\) | 41.5565 | + | 15.1253i | 1.62623 | + | 0.591900i | 0.984555 | − | 0.175076i | \(-0.0560171\pi\) |
0.641676 | + | 0.766976i | \(0.278239\pi\) | |||||||
\(654\) | 10.1250 | − | 1.78530i | 0.395917 | − | 0.0698108i | ||||
\(655\) | 1.50000 | − | 8.50692i | 0.0586098 | − | 0.332393i | ||||
\(656\) | 1.75877 | − | 3.04628i | 0.0686685 | − | 0.118937i | ||||
\(657\) | 0.923801 | + | 0.336236i | 0.0360409 | + | 0.0131178i | ||||
\(658\) | −4.60607 | − | 7.97794i | −0.179563 | − | 0.311013i | ||||
\(659\) | −34.2396 | + | 12.4622i | −1.33379 | + | 0.485459i | −0.907850 | − | 0.419294i | \(-0.862278\pi\) |
−0.425937 | + | 0.904753i | \(0.640055\pi\) | |||||||
\(660\) | −1.15998 | − | 0.669713i | −0.0451521 | − | 0.0260686i | ||||
\(661\) | 1.38919 | − | 1.16566i | 0.0540331 | − | 0.0453391i | −0.615371 | − | 0.788237i | \(-0.710994\pi\) |
0.669404 | + | 0.742898i | \(0.266549\pi\) | |||||||
\(662\) | 5.22075 | − | 4.38073i | 0.202910 | − | 0.170262i | ||||
\(663\) | 3.34002 | − | 1.92836i | 0.129716 | − | 0.0748914i | ||||
\(664\) | 1.45336 | − | 0.528981i | 0.0564014 | − | 0.0205284i | ||||
\(665\) | 5.87211 | + | 10.1708i | 0.227711 | + | 0.394407i | ||||
\(666\) | 32.4688 | 1.25814 | ||||||||
\(667\) | 1.73813 | − | 3.01053i | 0.0673007 | − | 0.116568i | ||||
\(668\) | −1.56506 | + | 8.87587i | −0.0605538 | + | 0.343418i | ||||
\(669\) | −26.4384 | − | 31.5081i | −1.02217 | − | 1.21817i | ||||
\(670\) | −25.1596 | − | 9.15733i | −0.971999 | − | 0.353779i | ||||
\(671\) | −0.598793 | − | 3.39592i | −0.0231161 | − | 0.131098i | ||||
\(672\) | 0.592396 | + | 1.62760i | 0.0228522 | + | 0.0627859i | ||||
\(673\) | −28.4243 | − | 23.8508i | −1.09567 | − | 0.919380i | −0.0985483 | − | 0.995132i | \(-0.531420\pi\) |
−0.997127 | + | 0.0757518i | \(0.975864\pi\) | |||||||
\(674\) | −2.35410 | −0.0906767 | ||||||||
\(675\) | −2.50846 | − | 6.89193i | −0.0965505 | − | 0.265270i | ||||
\(676\) | −9.46791 | −0.364150 | ||||||||
\(677\) | 6.79813 | + | 5.70431i | 0.261273 | + | 0.219234i | 0.764009 | − | 0.645206i | \(-0.223228\pi\) |
−0.502735 | + | 0.864440i | \(0.667673\pi\) | |||||||
\(678\) | 18.9060 | + | 3.33364i | 0.726081 | + | 0.128028i | ||||
\(679\) | −0.676174 | − | 3.83478i | −0.0259492 | − | 0.147165i | ||||
\(680\) | 2.81908 | + | 1.02606i | 0.108107 | + | 0.0393476i | ||||
\(681\) | 8.64977 | − | 23.7650i | 0.331460 | − | 0.910678i | ||||
\(682\) | −0.258770 | + | 1.46756i | −0.00990883 | + | 0.0561958i | ||||
\(683\) | 5.08899 | − | 8.81439i | 0.194725 | − | 0.337273i | −0.752085 | − | 0.659066i | \(-0.770952\pi\) |
0.946810 | + | 0.321792i | \(0.104285\pi\) | |||||||
\(684\) | −2.41622 | + | 13.7031i | −0.0923866 | + | 0.523950i | ||||
\(685\) | 23.8059 | + | 41.2330i | 0.909576 | + | 1.57543i | ||||
\(686\) | −0.939693 | + | 0.342020i | −0.0358776 | + | 0.0130584i | ||||
\(687\) | 33.1447i | 1.26455i | ||||||||
\(688\) | −3.29813 | + | 2.76746i | −0.125740 | + | 0.105509i | ||||
\(689\) | 16.4402 | − | 13.7949i | 0.626320 | − | 0.525545i | ||||
\(690\) | − | 5.44367i | − | 0.207237i | ||||||
\(691\) | 2.15910 | − | 0.785848i | 0.0821360 | − | 0.0298951i | −0.300625 | − | 0.953742i | \(-0.597195\pi\) |
0.382761 | + | 0.923847i | \(0.374973\pi\) | |||||||
\(692\) | 5.68139 | + | 9.84045i | 0.215974 | + | 0.374078i | ||||
\(693\) | 0.860967 | − | 0.313366i | 0.0327054 | − | 0.0119038i | ||||
\(694\) | 4.63429 | − | 8.02682i | 0.175915 | − | 0.304694i | ||||
\(695\) | −0.283996 | + | 1.61062i | −0.0107726 | + | 0.0610943i | ||||
\(696\) | −1.65910 | + | 4.55834i | −0.0628880 | + | 0.172783i | ||||
\(697\) | 3.91622 | + | 1.42539i | 0.148337 | + | 0.0539904i | ||||
\(698\) | −1.64022 | − | 9.30212i | −0.0620831 | − | 0.352091i | ||||
\(699\) | 32.9270 | + | 5.80591i | 1.24541 | + | 0.219600i | ||||
\(700\) | 1.08125 | + | 0.907278i | 0.0408675 | + | 0.0342919i | ||||
\(701\) | −23.1566 | −0.874614 | −0.437307 | − | 0.899312i | \(-0.644068\pi\) | ||||
−0.437307 | + | 0.899312i | \(0.644068\pi\) | |||||||
\(702\) | 8.45723 | + | 4.88279i | 0.319198 | + | 0.184289i | ||||
\(703\) | −50.1985 | −1.89327 | ||||||||
\(704\) | 0.233956 | + | 0.196312i | 0.00881753 | + | 0.00739879i | ||||
\(705\) | −13.8182 | − | 37.9652i | −0.520424 | − | 1.42985i | ||||
\(706\) | 3.31521 | + | 18.8015i | 0.124769 | + | 0.707603i | ||||
\(707\) | −14.5287 | − | 5.28801i | −0.546407 | − | 0.198876i | ||||
\(708\) | −5.93717 | − | 7.07564i | −0.223132 | − | 0.265919i | ||||
\(709\) | −6.40760 | + | 36.3393i | −0.240643 | + | 1.36475i | 0.589756 | + | 0.807582i | \(0.299224\pi\) |
−0.830398 | + | 0.557170i | \(0.811887\pi\) | |||||||
\(710\) | 17.1420 | − | 29.6909i | 0.643329 | − | 1.11428i | ||||
\(711\) | 18.8097 | − | 32.5794i | 0.705421 | − | 1.22182i | ||||
\(712\) | 1.89646 | + | 3.28476i | 0.0710728 | + | 0.123102i | ||||
\(713\) | −5.69119 | + | 2.07142i | −0.213137 | + | 0.0775754i | ||||
\(714\) | −1.77719 | + | 1.02606i | −0.0665096 | + | 0.0383993i | ||||
\(715\) | 1.11334 | − | 0.934204i | 0.0416366 | − | 0.0349372i | ||||
\(716\) | −4.25284 | + | 3.56856i | −0.158936 | + | 0.133363i | ||||
\(717\) | −14.4613 | − | 8.34922i | −0.540066 | − | 0.311807i | ||||
\(718\) | 5.87211 | − | 2.13727i | 0.219145 | − | 0.0797623i | ||||
\(719\) | 13.6425 | + | 23.6295i | 0.508779 | + | 0.881231i | 0.999948 | + | 0.0101671i | \(0.00323635\pi\) |
−0.491169 | + | 0.871064i | \(0.663430\pi\) | |||||||
\(720\) | 1.31908 | + | 7.48086i | 0.0491591 | + | 0.278795i | ||||
\(721\) | −6.73783 | + | 11.6703i | −0.250930 | + | 0.434623i | ||||
\(722\) | 0.436289 | − | 2.47432i | 0.0162370 | − | 0.0920846i | ||||
\(723\) | −42.1109 | + | 7.42528i | −1.56612 | + | 0.276149i | ||||
\(724\) | 12.1912 | + | 4.43723i | 0.453082 | + | 0.164908i | ||||
\(725\) | 0.686441 | + | 3.89300i | 0.0254938 | + | 0.144582i | ||||
\(726\) | −12.1429 | + | 14.4713i | −0.450665 | + | 0.537082i | ||||
\(727\) | −1.40348 | − | 1.17766i | −0.0520524 | − | 0.0436771i | 0.616390 | − | 0.787441i | \(-0.288594\pi\) |
−0.668443 | + | 0.743764i | \(0.733039\pi\) | |||||||
\(728\) | −1.87939 | −0.0696547 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | −0.829755 | −0.0307106 | ||||||||
\(731\) | −3.90760 | − | 3.27887i | −0.144528 | − | 0.121273i | ||||
\(732\) | −12.5706 | + | 14.9810i | −0.464622 | + | 0.553715i | ||||
\(733\) | 1.16204 | + | 6.59024i | 0.0429208 | + | 0.243416i | 0.998719 | − | 0.0506090i | \(-0.0161162\pi\) |
−0.955798 | + | 0.294025i | \(0.905005\pi\) | |||||||
\(734\) | −24.0043 | − | 8.73686i | −0.886016 | − | 0.322484i | ||||
\(735\) | −4.31908 | + | 0.761570i | −0.159312 | + | 0.0280909i | ||||
\(736\) | −0.215537 | + | 1.22237i | −0.00794481 | + | 0.0450572i | ||||
\(737\) | 1.61468 | − | 2.79672i | 0.0594777 | − | 0.103018i | ||||
\(738\) | 1.83244 | + | 10.3923i | 0.0674532 | + | 0.382546i | ||||
\(739\) | −14.1348 | − | 24.4821i | −0.519955 | − | 0.900589i | −0.999731 | − | 0.0231977i | \(-0.992615\pi\) |
0.479776 | − | 0.877391i | \(-0.340718\pi\) | |||||||
\(740\) | −25.7520 | + | 9.37295i | −0.946661 | + | 0.344556i | ||||
\(741\) | −13.0753 | − | 7.54904i | −0.480334 | − | 0.277321i | ||||
\(742\) | −8.74763 | + | 7.34013i | −0.321135 | + | 0.269465i | ||||
\(743\) | −32.7893 | + | 27.5135i | −1.20292 | + | 1.00937i | −0.203380 | + | 0.979100i | \(0.565193\pi\) |
−0.999542 | + | 0.0302711i | \(0.990363\pi\) | |||||||
\(744\) | 7.31908 | − | 4.22567i | 0.268330 | − | 0.154921i | ||||
\(745\) | −47.6776 | + | 17.3532i | −1.74677 | + | 0.635773i | ||||
\(746\) | 2.18092 | + | 3.77747i | 0.0798492 | + | 0.138303i | ||||
\(747\) | −2.31996 | + | 4.01828i | −0.0848827 | + | 0.147021i | ||||
\(748\) | −0.180922 | + | 0.313366i | −0.00661517 | + | 0.0114578i | ||||
\(749\) | 1.32248 | − | 7.50016i | 0.0483224 | − | 0.274050i | ||||
\(750\) | −10.1163 | − | 12.0562i | −0.369396 | − | 0.440229i | ||||
\(751\) | −29.6177 | − | 10.7800i | −1.08076 | − | 0.393366i | −0.260572 | − | 0.965454i | \(-0.583911\pi\) |
−0.820192 | + | 0.572088i | \(0.806133\pi\) | |||||||
\(752\) | 1.59967 | + | 9.07218i | 0.0583340 | + | 0.330828i | ||||
\(753\) | 3.14749 | + | 8.64766i | 0.114701 | + | 0.315138i | ||||
\(754\) | −4.03209 | − | 3.38332i | −0.146840 | − | 0.123213i | ||||
\(755\) | 52.7383 | 1.91935 | ||||||||
\(756\) | −4.50000 | − | 2.59808i | −0.163663 | − | 0.0944911i | ||||
\(757\) | −15.0966 | −0.548694 | −0.274347 | − | 0.961631i | \(-0.588462\pi\) | ||||
−0.274347 | + | 0.961631i | \(0.588462\pi\) | |||||||
\(758\) | −7.97565 | − | 6.69237i | −0.289689 | − | 0.243078i | ||||
\(759\) | 0.646612 | + | 0.114015i | 0.0234705 | + | 0.00413849i | ||||
\(760\) | −2.03936 | − | 11.5658i | −0.0739755 | − | 0.419536i | ||||
\(761\) | −25.5158 | − | 9.28699i | −0.924947 | − | 0.336653i | −0.164742 | − | 0.986337i | \(-0.552679\pi\) |
−0.760205 | + | 0.649684i | \(0.774901\pi\) | |||||||
\(762\) | 7.36113 | − | 20.2245i | 0.266666 | − | 0.732658i | ||||
\(763\) | 1.03074 | − | 5.84564i | 0.0373155 | − | 0.211627i | ||||
\(764\) | −1.37551 | + | 2.38246i | −0.0497644 | + | 0.0861944i | ||||
\(765\) | −8.45723 | + | 3.07818i | −0.305772 | + | 0.111292i | ||||
\(766\) | −17.3391 | − | 30.0323i |