Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.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: | \(4.55147291521\) |
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 | 511.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.511 |
Dual form | 570.2.u.a.541.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | −0.766044 | − | 0.642788i | −0.442276 | − | 0.371114i | ||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.939693 | − | 0.342020i | 0.420243 | − | 0.152956i | ||||
\(6\) | 0.766044 | − | 0.642788i | 0.312736 | − | 0.262417i | ||||
\(7\) | −2.28699 | − | 3.96118i | −0.864401 | − | 1.49719i | −0.867641 | − | 0.497191i | \(-0.834365\pi\) |
0.00324055 | − | 0.999995i | \(-0.498969\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | 0.173648 | + | 0.984808i | 0.0549124 | + | 0.311424i | ||||
\(11\) | 0.173648 | − | 0.300767i | 0.0523569 | − | 0.0906848i | −0.838659 | − | 0.544657i | \(-0.816660\pi\) |
0.891016 | + | 0.453972i | \(0.149993\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | −4.99273 | + | 4.18939i | −1.38473 | + | 1.16193i | −0.417310 | + | 0.908764i | \(0.637027\pi\) |
−0.967423 | + | 0.253165i | \(0.918529\pi\) | |||||||
\(14\) | 4.29813 | − | 1.56439i | 1.14872 | − | 0.418102i | ||||
\(15\) | −0.939693 | − | 0.342020i | −0.242628 | − | 0.0883092i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −1.22668 | + | 6.95686i | −0.297514 | + | 1.68729i | 0.359291 | + | 0.933225i | \(0.383018\pi\) |
−0.656805 | + | 0.754060i | \(0.728093\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.82635 | + | 3.31839i | −0.648410 | + | 0.761292i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | −0.794263 | + | 4.50449i | −0.173322 | + | 0.982960i | ||||
\(22\) | 0.266044 | + | 0.223238i | 0.0567209 | + | 0.0475945i | ||||
\(23\) | −5.54576 | − | 2.01849i | −1.15637 | − | 0.420885i | −0.308571 | − | 0.951201i | \(-0.599851\pi\) |
−0.847800 | + | 0.530317i | \(0.822073\pi\) | |||||||
\(24\) | −0.939693 | + | 0.342020i | −0.191814 | + | 0.0698146i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | −3.25877 | − | 5.64436i | −0.639097 | − | 1.10695i | ||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 0.794263 | + | 4.50449i | 0.150102 | + | 0.851268i | ||||
\(29\) | −0.879385 | − | 4.98724i | −0.163298 | − | 0.926108i | −0.950802 | − | 0.309799i | \(-0.899738\pi\) |
0.787504 | − | 0.616309i | \(-0.211373\pi\) | |||||||
\(30\) | 0.500000 | − | 0.866025i | 0.0912871 | − | 0.158114i | ||||
\(31\) | 1.18479 | + | 2.05212i | 0.212795 | + | 0.368572i | 0.952588 | − | 0.304263i | \(-0.0984100\pi\) |
−0.739793 | + | 0.672834i | \(0.765077\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | −0.326352 | + | 0.118782i | −0.0568106 | + | 0.0206774i | ||||
\(34\) | −6.63816 | − | 2.41609i | −1.13843 | − | 0.414356i | ||||
\(35\) | −3.50387 | − | 2.94010i | −0.592262 | − | 0.496967i | ||||
\(36\) | 0.173648 | − | 0.984808i | 0.0289414 | − | 0.164135i | ||||
\(37\) | 7.66044 | 1.25937 | 0.629685 | − | 0.776851i | \(-0.283184\pi\) | ||||
0.629685 | + | 0.776851i | \(0.283184\pi\) | |||||||
\(38\) | −2.77719 | − | 3.35965i | −0.450520 | − | 0.545007i | ||||
\(39\) | 6.51754 | 1.04364 | ||||||||
\(40\) | 0.173648 | − | 0.984808i | 0.0274562 | − | 0.155712i | ||||
\(41\) | 0.364370 | + | 0.305743i | 0.0569051 | + | 0.0477491i | 0.670797 | − | 0.741641i | \(-0.265952\pi\) |
−0.613892 | + | 0.789390i | \(0.710397\pi\) | |||||||
\(42\) | −4.29813 | − | 1.56439i | −0.663216 | − | 0.241391i | ||||
\(43\) | −6.71688 | + | 2.44474i | −1.02431 | + | 0.372820i | −0.798914 | − | 0.601446i | \(-0.794592\pi\) |
−0.225401 | + | 0.974266i | \(0.572369\pi\) | |||||||
\(44\) | −0.266044 | + | 0.223238i | −0.0401077 | + | 0.0336544i | ||||
\(45\) | 0.500000 | + | 0.866025i | 0.0745356 | + | 0.129099i | ||||
\(46\) | 2.95084 | − | 5.11100i | 0.435077 | − | 0.753576i | ||||
\(47\) | −1.01114 | − | 5.73448i | −0.147491 | − | 0.836461i | −0.965334 | − | 0.261019i | \(-0.915941\pi\) |
0.817843 | − | 0.575441i | \(-0.195170\pi\) | |||||||
\(48\) | −0.173648 | − | 0.984808i | −0.0250640 | − | 0.142145i | ||||
\(49\) | −6.96064 | + | 12.0562i | −0.994377 | + | 1.72231i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 5.41147 | − | 4.54077i | 0.757758 | − | 0.635834i | ||||
\(52\) | 6.12449 | − | 2.22913i | 0.849313 | − | 0.309125i | ||||
\(53\) | −9.70961 | − | 3.53401i | −1.33372 | − | 0.485433i | −0.425889 | − | 0.904775i | \(-0.640039\pi\) |
−0.907828 | + | 0.419342i | \(0.862261\pi\) | |||||||
\(54\) | 0.766044 | + | 0.642788i | 0.104245 | + | 0.0874723i | ||||
\(55\) | 0.0603074 | − | 0.342020i | 0.00813185 | − | 0.0461180i | ||||
\(56\) | −4.57398 | −0.611224 | ||||||||
\(57\) | 4.29813 | − | 0.725293i | 0.569302 | − | 0.0960674i | ||||
\(58\) | 5.06418 | 0.664959 | ||||||||
\(59\) | 0.316552 | − | 1.79525i | 0.0412115 | − | 0.233722i | −0.957244 | − | 0.289282i | \(-0.906583\pi\) |
0.998455 | + | 0.0555602i | \(0.0176945\pi\) | |||||||
\(60\) | 0.766044 | + | 0.642788i | 0.0988959 | + | 0.0829835i | ||||
\(61\) | −10.8229 | − | 3.93923i | −1.38574 | − | 0.504367i | −0.461824 | − | 0.886971i | \(-0.652805\pi\) |
−0.923912 | + | 0.382605i | \(0.875027\pi\) | |||||||
\(62\) | −2.22668 | + | 0.810446i | −0.282789 | + | 0.102927i | ||||
\(63\) | 3.50387 | − | 2.94010i | 0.441446 | − | 0.370417i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −3.25877 | + | 5.64436i | −0.404201 | + | 0.700096i | ||||
\(66\) | −0.0603074 | − | 0.342020i | −0.00742333 | − | 0.0420998i | ||||
\(67\) | 0.106067 | + | 0.601535i | 0.0129581 | + | 0.0734892i | 0.990601 | − | 0.136783i | \(-0.0436762\pi\) |
−0.977643 | + | 0.210272i | \(0.932565\pi\) | |||||||
\(68\) | 3.53209 | − | 6.11776i | 0.428329 | − | 0.741887i | ||||
\(69\) | 2.95084 | + | 5.11100i | 0.355239 | + | 0.615292i | ||||
\(70\) | 3.50387 | − | 2.94010i | 0.418793 | − | 0.351409i | ||||
\(71\) | 11.0496 | − | 4.02174i | 1.31135 | − | 0.477292i | 0.410673 | − | 0.911783i | \(-0.365294\pi\) |
0.900677 | + | 0.434490i | \(0.143071\pi\) | |||||||
\(72\) | 0.939693 | + | 0.342020i | 0.110744 | + | 0.0403075i | ||||
\(73\) | −4.94356 | − | 4.14814i | −0.578600 | − | 0.485503i | 0.305887 | − | 0.952068i | \(-0.401047\pi\) |
−0.884487 | + | 0.466565i | \(0.845492\pi\) | |||||||
\(74\) | −1.33022 | + | 7.54407i | −0.154635 | + | 0.876980i | ||||
\(75\) | −1.00000 | −0.115470 | ||||||||
\(76\) | 3.79086 | − | 2.15160i | 0.434841 | − | 0.246806i | ||||
\(77\) | −1.58853 | −0.181029 | ||||||||
\(78\) | −1.13176 | + | 6.41852i | −0.128146 | + | 0.726755i | ||||
\(79\) | 6.69459 | + | 5.61743i | 0.753201 | + | 0.632010i | 0.936347 | − | 0.351075i | \(-0.114184\pi\) |
−0.183147 | + | 0.983086i | \(0.558628\pi\) | |||||||
\(80\) | 0.939693 | + | 0.342020i | 0.105061 | + | 0.0382390i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | −0.364370 | + | 0.305743i | −0.0402380 | + | 0.0337637i | ||||
\(83\) | −0.837496 | − | 1.45059i | −0.0919271 | − | 0.159222i | 0.816395 | − | 0.577494i | \(-0.195969\pi\) |
−0.908322 | + | 0.418272i | \(0.862636\pi\) | |||||||
\(84\) | 2.28699 | − | 3.96118i | 0.249531 | − | 0.432200i | ||||
\(85\) | 1.22668 | + | 6.95686i | 0.133052 | + | 0.754577i | ||||
\(86\) | −1.24123 | − | 7.03936i | −0.133845 | − | 0.759074i | ||||
\(87\) | −2.53209 | + | 4.38571i | −0.271468 | + | 0.470197i | ||||
\(88\) | −0.173648 | − | 0.300767i | −0.0185110 | − | 0.0320619i | ||||
\(89\) | −8.30200 | + | 6.96621i | −0.880011 | + | 0.738417i | −0.966181 | − | 0.257864i | \(-0.916981\pi\) |
0.0861706 | + | 0.996280i | \(0.472537\pi\) | |||||||
\(90\) | −0.939693 | + | 0.342020i | −0.0990523 | + | 0.0360521i | ||||
\(91\) | 28.0133 | + | 10.1960i | 2.93659 | + | 1.06883i | ||||
\(92\) | 4.52094 | + | 3.79352i | 0.471341 | + | 0.395502i | ||||
\(93\) | 0.411474 | − | 2.33359i | 0.0426679 | − | 0.241982i | ||||
\(94\) | 5.82295 | 0.600591 | ||||||||
\(95\) | −1.52094 | + | 4.08494i | −0.156046 | + | 0.419106i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 0.184793 | − | 1.04801i | 0.0187628 | − | 0.106409i | −0.973988 | − | 0.226599i | \(-0.927239\pi\) |
0.992751 | + | 0.120190i | \(0.0383503\pi\) | |||||||
\(98\) | −10.6643 | − | 8.94842i | −1.07726 | − | 0.903927i | ||||
\(99\) | 0.326352 | + | 0.118782i | 0.0327996 | + | 0.0119381i | ||||
\(100\) | −0.939693 | + | 0.342020i | −0.0939693 | + | 0.0342020i | ||||
\(101\) | 9.53983 | − | 8.00487i | 0.949249 | − | 0.796514i | −0.0299223 | − | 0.999552i | \(-0.509526\pi\) |
0.979171 | + | 0.203038i | \(0.0650815\pi\) | |||||||
\(102\) | 3.53209 | + | 6.11776i | 0.349729 | + | 0.605748i | ||||
\(103\) | 0.648833 | − | 1.12381i | 0.0639314 | − | 0.110733i | −0.832288 | − | 0.554343i | \(-0.812969\pi\) |
0.896219 | + | 0.443611i | \(0.146303\pi\) | |||||||
\(104\) | 1.13176 | + | 6.41852i | 0.110978 | + | 0.629388i | ||||
\(105\) | 0.794263 | + | 4.50449i | 0.0775121 | + | 0.439593i | ||||
\(106\) | 5.16637 | − | 8.94842i | 0.501803 | − | 0.869148i | ||||
\(107\) | −8.12836 | − | 14.0787i | −0.785798 | − | 1.36104i | −0.928521 | − | 0.371279i | \(-0.878919\pi\) |
0.142724 | − | 0.989763i | \(-0.454414\pi\) | |||||||
\(108\) | −0.766044 | + | 0.642788i | −0.0737127 | + | 0.0618523i | ||||
\(109\) | 1.53209 | − | 0.557635i | 0.146748 | − | 0.0534117i | −0.267602 | − | 0.963529i | \(-0.586231\pi\) |
0.414350 | + | 0.910118i | \(0.364009\pi\) | |||||||
\(110\) | 0.326352 | + | 0.118782i | 0.0311164 | + | 0.0113255i | ||||
\(111\) | −5.86824 | − | 4.92404i | −0.556989 | − | 0.467369i | ||||
\(112\) | 0.794263 | − | 4.50449i | 0.0750508 | − | 0.425634i | ||||
\(113\) | 4.93582 | 0.464323 | 0.232162 | − | 0.972677i | \(-0.425420\pi\) | ||||
0.232162 | + | 0.972677i | \(0.425420\pi\) | |||||||
\(114\) | −0.0320889 | + | 4.35878i | −0.00300540 | + | 0.408237i | ||||
\(115\) | −5.90167 | −0.550334 | ||||||||
\(116\) | −0.879385 | + | 4.98724i | −0.0816489 | + | 0.463054i | ||||
\(117\) | −4.99273 | − | 4.18939i | −0.461578 | − | 0.387310i | ||||
\(118\) | 1.71301 | + | 0.623485i | 0.157695 | + | 0.0573964i | ||||
\(119\) | 30.3628 | − | 11.0511i | 2.78335 | − | 1.01306i | ||||
\(120\) | −0.766044 | + | 0.642788i | −0.0699300 | + | 0.0586782i | ||||
\(121\) | 5.43969 | + | 9.42182i | 0.494518 | + | 0.856529i | ||||
\(122\) | 5.75877 | − | 9.97448i | 0.521375 | − | 0.903047i | ||||
\(123\) | −0.0825961 | − | 0.468426i | −0.00744744 | − | 0.0422365i | ||||
\(124\) | −0.411474 | − | 2.33359i | −0.0369515 | − | 0.209562i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 2.28699 | + | 3.96118i | 0.203741 | + | 0.352890i | ||||
\(127\) | −1.67159 | + | 1.40263i | −0.148330 | + | 0.124463i | −0.713933 | − | 0.700214i | \(-0.753088\pi\) |
0.565603 | + | 0.824677i | \(0.308643\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 6.71688 | + | 2.44474i | 0.591388 | + | 0.215248i | ||||
\(130\) | −4.99273 | − | 4.18939i | −0.437891 | − | 0.367434i | ||||
\(131\) | −0.330222 | + | 1.87278i | −0.0288516 | + | 0.163626i | −0.995829 | − | 0.0912350i | \(-0.970919\pi\) |
0.966978 | + | 0.254861i | \(0.0820297\pi\) | |||||||
\(132\) | 0.347296 | 0.0302283 | ||||||||
\(133\) | 19.6086 | + | 3.60656i | 1.70028 | + | 0.312729i | ||||
\(134\) | −0.610815 | −0.0527663 | ||||||||
\(135\) | 0.173648 | − | 0.984808i | 0.0149453 | − | 0.0847588i | ||||
\(136\) | 5.41147 | + | 4.54077i | 0.464030 | + | 0.389367i | ||||
\(137\) | 1.07873 | + | 0.392624i | 0.0921618 | + | 0.0335441i | 0.387690 | − | 0.921790i | \(-0.373273\pi\) |
−0.295528 | + | 0.955334i | \(0.595495\pi\) | |||||||
\(138\) | −5.54576 | + | 2.01849i | −0.472086 | + | 0.171825i | ||||
\(139\) | −17.7934 | + | 14.9304i | −1.50922 | + | 1.26638i | −0.643950 | + | 0.765067i | \(0.722706\pi\) |
−0.865265 | + | 0.501315i | \(0.832850\pi\) | |||||||
\(140\) | 2.28699 | + | 3.96118i | 0.193286 | + | 0.334781i | ||||
\(141\) | −2.91147 | + | 5.04282i | −0.245190 | + | 0.424682i | ||||
\(142\) | 2.04189 | + | 11.5801i | 0.171352 | + | 0.971783i | ||||
\(143\) | 0.393056 | + | 2.22913i | 0.0328690 | + | 0.186409i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −2.53209 | − | 4.38571i | −0.210279 | − | 0.364213i | ||||
\(146\) | 4.94356 | − | 4.14814i | 0.409132 | − | 0.343303i | ||||
\(147\) | 13.0817 | − | 4.76136i | 1.07896 | − | 0.392710i | ||||
\(148\) | −7.19846 | − | 2.62003i | −0.591710 | − | 0.215365i | ||||
\(149\) | −9.41921 | − | 7.90366i | −0.771652 | − | 0.647493i | 0.169479 | − | 0.985534i | \(-0.445791\pi\) |
−0.941131 | + | 0.338041i | \(0.890236\pi\) | |||||||
\(150\) | 0.173648 | − | 0.984808i | 0.0141783 | − | 0.0804092i | ||||
\(151\) | −7.06418 | −0.574875 | −0.287437 | − | 0.957799i | \(-0.592803\pi\) | ||||
−0.287437 | + | 0.957799i | \(0.592803\pi\) | |||||||
\(152\) | 1.46064 | + | 4.10689i | 0.118473 | + | 0.333113i | ||||
\(153\) | −7.06418 | −0.571105 | ||||||||
\(154\) | 0.275845 | − | 1.56439i | 0.0222282 | − | 0.126062i | ||||
\(155\) | 1.81521 | + | 1.52314i | 0.145801 | + | 0.122342i | ||||
\(156\) | −6.12449 | − | 2.22913i | −0.490351 | − | 0.178473i | ||||
\(157\) | −1.01367 | + | 0.368946i | −0.0808997 | + | 0.0294451i | −0.382153 | − | 0.924099i | \(-0.624817\pi\) |
0.301253 | + | 0.953544i | \(0.402595\pi\) | |||||||
\(158\) | −6.69459 | + | 5.61743i | −0.532593 | + | 0.446899i | ||||
\(159\) | 5.16637 | + | 8.94842i | 0.409720 | + | 0.709656i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | 4.68748 | + | 26.5840i | 0.369425 | + | 2.09511i | ||||
\(162\) | −0.173648 | − | 0.984808i | −0.0136431 | − | 0.0773738i | ||||
\(163\) | −6.36959 | + | 11.0324i | −0.498904 | + | 0.864128i | −0.999999 | − | 0.00126462i | \(-0.999597\pi\) |
0.501095 | + | 0.865392i | \(0.332931\pi\) | |||||||
\(164\) | −0.237826 | − | 0.411927i | −0.0185711 | − | 0.0321661i | ||||
\(165\) | −0.266044 | + | 0.223238i | −0.0207115 | + | 0.0173790i | ||||
\(166\) | 1.57398 | − | 0.572881i | 0.122164 | − | 0.0444642i | ||||
\(167\) | 0.168900 | + | 0.0614747i | 0.0130699 | + | 0.00475706i | 0.348547 | − | 0.937291i | \(-0.386675\pi\) |
−0.335477 | + | 0.942048i | \(0.608897\pi\) | |||||||
\(168\) | 3.50387 | + | 2.94010i | 0.270329 | + | 0.226833i | ||||
\(169\) | 5.11886 | − | 29.0305i | 0.393758 | − | 2.23312i | ||||
\(170\) | −7.06418 | −0.541798 | ||||||||
\(171\) | −3.75877 | − | 2.20718i | −0.287440 | − | 0.168787i | ||||
\(172\) | 7.14796 | 0.545027 | ||||||||
\(173\) | −2.37077 | + | 13.4453i | −0.180246 | + | 1.02223i | 0.751666 | + | 0.659543i | \(0.229250\pi\) |
−0.931913 | + | 0.362683i | \(0.881861\pi\) | |||||||
\(174\) | −3.87939 | − | 3.25519i | −0.294095 | − | 0.246775i | ||||
\(175\) | −4.29813 | − | 1.56439i | −0.324908 | − | 0.118257i | ||||
\(176\) | 0.326352 | − | 0.118782i | 0.0245997 | − | 0.00895356i | ||||
\(177\) | −1.39646 | + | 1.17177i | −0.104964 | + | 0.0880755i | ||||
\(178\) | −5.41875 | − | 9.38555i | −0.406152 | − | 0.703476i | ||||
\(179\) | 10.6951 | − | 18.5244i | 0.799386 | − | 1.38458i | −0.120630 | − | 0.992698i | \(-0.538491\pi\) |
0.920016 | − | 0.391880i | \(-0.128175\pi\) | |||||||
\(180\) | −0.173648 | − | 0.984808i | −0.0129430 | − | 0.0734032i | ||||
\(181\) | 1.44057 | + | 8.16988i | 0.107077 | + | 0.607262i | 0.990370 | + | 0.138442i | \(0.0442096\pi\) |
−0.883294 | + | 0.468820i | \(0.844679\pi\) | |||||||
\(182\) | −14.9055 | + | 25.8172i | −1.10487 | + | 1.91370i | ||||
\(183\) | 5.75877 | + | 9.97448i | 0.425701 | + | 0.737335i | ||||
\(184\) | −4.52094 | + | 3.79352i | −0.333288 | + | 0.279662i | ||||
\(185\) | 7.19846 | − | 2.62003i | 0.529242 | − | 0.192628i | ||||
\(186\) | 2.22668 | + | 0.810446i | 0.163268 | + | 0.0594248i | ||||
\(187\) | 1.87939 | + | 1.57699i | 0.137434 | + | 0.115321i | ||||
\(188\) | −1.01114 | + | 5.73448i | −0.0737453 | + | 0.418230i | ||||
\(189\) | −4.57398 | −0.332708 | ||||||||
\(190\) | −3.75877 | − | 2.20718i | −0.272690 | − | 0.160126i | ||||
\(191\) | −12.9513 | −0.937123 | −0.468562 | − | 0.883431i | \(-0.655228\pi\) | ||||
−0.468562 | + | 0.883431i | \(0.655228\pi\) | |||||||
\(192\) | −0.173648 | + | 0.984808i | −0.0125320 | + | 0.0710724i | ||||
\(193\) | −9.88713 | − | 8.29628i | −0.711691 | − | 0.597180i | 0.213382 | − | 0.976969i | \(-0.431552\pi\) |
−0.925073 | + | 0.379789i | \(0.875997\pi\) | |||||||
\(194\) | 1.00000 | + | 0.363970i | 0.0717958 | + | 0.0261315i | ||||
\(195\) | 6.12449 | − | 2.22913i | 0.438583 | − | 0.159631i | ||||
\(196\) | 10.6643 | − | 8.94842i | 0.761737 | − | 0.639173i | ||||
\(197\) | 5.75537 | + | 9.96859i | 0.410053 | + | 0.710232i | 0.994895 | − | 0.100915i | \(-0.0321769\pi\) |
−0.584842 | + | 0.811147i | \(0.698844\pi\) | |||||||
\(198\) | −0.173648 | + | 0.300767i | −0.0123406 | + | 0.0213746i | ||||
\(199\) | −4.19934 | − | 23.8156i | −0.297683 | − | 1.68825i | −0.656092 | − | 0.754681i | \(-0.727792\pi\) |
0.358408 | − | 0.933565i | \(-0.383320\pi\) | |||||||
\(200\) | −0.173648 | − | 0.984808i | −0.0122788 | − | 0.0696364i | ||||
\(201\) | 0.305407 | − | 0.528981i | 0.0215418 | − | 0.0373114i | ||||
\(202\) | 6.22668 | + | 10.7849i | 0.438108 | + | 0.758825i | ||||
\(203\) | −17.7442 | + | 14.8892i | −1.24540 | + | 1.04501i | ||||
\(204\) | −6.63816 | + | 2.41609i | −0.464764 | + | 0.169160i | ||||
\(205\) | 0.446967 | + | 0.162683i | 0.0312175 | + | 0.0113622i | ||||
\(206\) | 0.994070 | + | 0.834124i | 0.0692602 | + | 0.0581162i | ||||
\(207\) | 1.02481 | − | 5.81201i | 0.0712296 | − | 0.403963i | ||||
\(208\) | −6.51754 | −0.451910 | ||||||||
\(209\) | 0.507274 | + | 1.42631i | 0.0350889 | + | 0.0986598i | ||||
\(210\) | −4.57398 | −0.315634 | ||||||||
\(211\) | −0.989322 | + | 5.61073i | −0.0681078 | + | 0.386258i | 0.931631 | + | 0.363405i | \(0.118386\pi\) |
−0.999739 | + | 0.0228529i | \(0.992725\pi\) | |||||||
\(212\) | 7.91534 | + | 6.64176i | 0.543628 | + | 0.456158i | ||||
\(213\) | −11.0496 | − | 4.02174i | −0.757108 | − | 0.275565i | ||||
\(214\) | 15.2763 | − | 5.56012i | 1.04427 | − | 0.380082i | ||||
\(215\) | −5.47565 | + | 4.59462i | −0.373436 | + | 0.313350i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | 5.41921 | − | 9.38636i | 0.367880 | − | 0.637187i | ||||
\(218\) | 0.283119 | + | 1.60565i | 0.0191752 | + | 0.108748i | ||||
\(219\) | 1.12061 | + | 6.35532i | 0.0757241 | + | 0.429453i | ||||
\(220\) | −0.173648 | + | 0.300767i | −0.0117074 | + | 0.0202777i | ||||
\(221\) | −23.0205 | − | 39.8727i | −1.54853 | − | 2.68213i | ||||
\(222\) | 5.86824 | − | 4.92404i | 0.393851 | − | 0.330480i | ||||
\(223\) | 22.1348 | − | 8.05639i | 1.48225 | − | 0.539496i | 0.530855 | − | 0.847462i | \(-0.321871\pi\) |
0.951397 | + | 0.307967i | \(0.0996485\pi\) | |||||||
\(224\) | 4.29813 | + | 1.56439i | 0.287181 | + | 0.104525i | ||||
\(225\) | 0.766044 | + | 0.642788i | 0.0510696 | + | 0.0428525i | ||||
\(226\) | −0.857097 | + | 4.86084i | −0.0570132 | + | 0.323338i | ||||
\(227\) | 24.9513 | 1.65608 | 0.828038 | − | 0.560672i | \(-0.189457\pi\) | ||||
0.828038 | + | 0.560672i | \(0.189457\pi\) | |||||||
\(228\) | −4.28699 | − | 0.788496i | −0.283913 | − | 0.0522194i | ||||
\(229\) | 4.09926 | 0.270887 | 0.135443 | − | 0.990785i | \(-0.456754\pi\) | ||||
0.135443 | + | 0.990785i | \(0.456754\pi\) | |||||||
\(230\) | 1.02481 | − | 5.81201i | 0.0675743 | − | 0.383233i | ||||
\(231\) | 1.21688 | + | 1.02108i | 0.0800649 | + | 0.0671824i | ||||
\(232\) | −4.75877 | − | 1.73205i | −0.312429 | − | 0.113715i | ||||
\(233\) | 14.5817 | − | 5.30731i | 0.955280 | − | 0.347694i | 0.183098 | − | 0.983095i | \(-0.441387\pi\) |
0.772182 | + | 0.635401i | \(0.219165\pi\) | |||||||
\(234\) | 4.99273 | − | 4.18939i | 0.326385 | − | 0.273869i | ||||
\(235\) | −2.91147 | − | 5.04282i | −0.189924 | − | 0.328957i | ||||
\(236\) | −0.911474 | + | 1.57872i | −0.0593319 | + | 0.102766i | ||||
\(237\) | −1.51754 | − | 8.60640i | −0.0985749 | − | 0.559046i | ||||
\(238\) | 5.61081 | + | 31.8205i | 0.363695 | + | 2.06262i | ||||
\(239\) | −2.17024 | + | 3.75897i | −0.140381 | + | 0.243148i | −0.927640 | − | 0.373475i | \(-0.878166\pi\) |
0.787259 | + | 0.616623i | \(0.211500\pi\) | |||||||
\(240\) | −0.500000 | − | 0.866025i | −0.0322749 | − | 0.0559017i | ||||
\(241\) | 8.99273 | − | 7.54579i | 0.579272 | − | 0.486067i | −0.305436 | − | 0.952213i | \(-0.598802\pi\) |
0.884708 | + | 0.466145i | \(0.154358\pi\) | |||||||
\(242\) | −10.2233 | + | 3.72097i | −0.657177 | + | 0.239193i | ||||
\(243\) | 0.939693 | + | 0.342020i | 0.0602813 | + | 0.0219406i | ||||
\(244\) | 8.82295 | + | 7.40333i | 0.564831 | + | 0.473950i | ||||
\(245\) | −2.41740 | + | 13.7098i | −0.154442 | + | 0.875886i | ||||
\(246\) | 0.475652 | 0.0303265 | ||||||||
\(247\) | 0.209141 | − | 28.4085i | 0.0133073 | − | 1.80759i | ||||
\(248\) | 2.36959 | 0.150469 | ||||||||
\(249\) | −0.290859 | + | 1.64955i | −0.0184325 | + | 0.104536i | ||||
\(250\) | 0.766044 | + | 0.642788i | 0.0484489 | + | 0.0406535i | ||||
\(251\) | 3.80453 | + | 1.38474i | 0.240140 | + | 0.0874037i | 0.459287 | − | 0.888288i | \(-0.348105\pi\) |
−0.219147 | + | 0.975692i | \(0.570327\pi\) | |||||||
\(252\) | −4.29813 | + | 1.56439i | −0.270757 | + | 0.0985475i | ||||
\(253\) | −1.57011 | + | 1.31748i | −0.0987118 | + | 0.0828290i | ||||
\(254\) | −1.09105 | − | 1.88976i | −0.0684587 | − | 0.118574i | ||||
\(255\) | 3.53209 | − | 6.11776i | 0.221188 | − | 0.383109i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −2.47565 | − | 14.0401i | −0.154427 | − | 0.875799i | −0.959308 | − | 0.282362i | \(-0.908882\pi\) |
0.804881 | − | 0.593436i | \(-0.202229\pi\) | |||||||
\(258\) | −3.57398 | + | 6.19031i | −0.222506 | + | 0.385392i | ||||
\(259\) | −17.5194 | − | 30.3444i | −1.08860 | − | 1.88551i | ||||
\(260\) | 4.99273 | − | 4.18939i | 0.309636 | − | 0.259815i | ||||
\(261\) | 4.75877 | − | 1.73205i | 0.294560 | − | 0.107211i | ||||
\(262\) | −1.78699 | − | 0.650411i | −0.110401 | − | 0.0401825i | ||||
\(263\) | −11.0890 | − | 9.30477i | −0.683777 | − | 0.573757i | 0.233331 | − | 0.972397i | \(-0.425038\pi\) |
−0.917107 | + | 0.398641i | \(0.869482\pi\) | |||||||
\(264\) | −0.0603074 | + | 0.342020i | −0.00371166 | + | 0.0210499i | ||||
\(265\) | −10.3327 | −0.634736 | ||||||||
\(266\) | −6.95677 | + | 18.6844i | −0.426547 | + | 1.14562i | ||||
\(267\) | 10.8375 | 0.663244 | ||||||||
\(268\) | 0.106067 | − | 0.601535i | 0.00647906 | − | 0.0367446i | ||||
\(269\) | −2.27126 | − | 1.90581i | −0.138481 | − | 0.116199i | 0.570916 | − | 0.821009i | \(-0.306588\pi\) |
−0.709397 | + | 0.704809i | \(0.751033\pi\) | |||||||
\(270\) | 0.939693 | + | 0.342020i | 0.0571879 | + | 0.0208147i | ||||
\(271\) | −26.0847 | + | 9.49406i | −1.58453 | + | 0.576723i | −0.976184 | − | 0.216946i | \(-0.930390\pi\) |
−0.608350 | + | 0.793669i | \(0.708168\pi\) | |||||||
\(272\) | −5.41147 | + | 4.54077i | −0.328119 | + | 0.275324i | ||||
\(273\) | −14.9055 | − | 25.8172i | −0.902125 | − | 1.56253i | ||||
\(274\) | −0.573978 | + | 0.994159i | −0.0346753 | + | 0.0600593i | ||||
\(275\) | −0.0603074 | − | 0.342020i | −0.00363667 | − | 0.0206246i | ||||
\(276\) | −1.02481 | − | 5.81201i | −0.0616866 | − | 0.349842i | ||||
\(277\) | −1.13041 | + | 1.95794i | −0.0679201 | + | 0.117641i | −0.897986 | − | 0.440025i | \(-0.854970\pi\) |
0.830066 | + | 0.557666i | \(0.188303\pi\) | |||||||
\(278\) | −11.6138 | − | 20.1157i | −0.696550 | − | 1.20646i | ||||
\(279\) | −1.81521 | + | 1.52314i | −0.108674 | + | 0.0911880i | ||||
\(280\) | −4.29813 | + | 1.56439i | −0.256863 | + | 0.0934903i | ||||
\(281\) | 15.3109 | + | 5.57272i | 0.913373 | + | 0.332441i | 0.755599 | − | 0.655034i | \(-0.227346\pi\) |
0.157774 | + | 0.987475i | \(0.449568\pi\) | |||||||
\(282\) | −4.46064 | − | 3.74292i | −0.265627 | − | 0.222888i | ||||
\(283\) | 0.101014 | − | 0.572881i | 0.00600468 | − | 0.0340542i | −0.981658 | − | 0.190649i | \(-0.938941\pi\) |
0.987663 | + | 0.156595i | \(0.0500518\pi\) | |||||||
\(284\) | −11.7588 | −0.697755 | ||||||||
\(285\) | 3.79086 | − | 2.15160i | 0.224551 | − | 0.127450i | ||||
\(286\) | −2.26352 | −0.133845 | ||||||||
\(287\) | 0.377793 | − | 2.14257i | 0.0223004 | − | 0.126472i | ||||
\(288\) | −0.766044 | − | 0.642788i | −0.0451396 | − | 0.0378766i | ||||
\(289\) | −30.9183 | − | 11.2534i | −1.81873 | − | 0.661962i | ||||
\(290\) | 4.75877 | − | 1.73205i | 0.279445 | − | 0.101710i | ||||
\(291\) | −0.815207 | + | 0.684040i | −0.0477883 | + | 0.0400992i | ||||
\(292\) | 3.22668 | + | 5.58878i | 0.188827 | + | 0.327058i | ||||
\(293\) | −11.1295 | + | 19.2769i | −0.650195 | + | 1.12617i | 0.332881 | + | 0.942969i | \(0.391979\pi\) |
−0.983075 | + | 0.183201i | \(0.941354\pi\) | |||||||
\(294\) | 2.41740 | + | 13.7098i | 0.140986 | + | 0.799571i | ||||
\(295\) | −0.316552 | − | 1.79525i | −0.0184303 | − | 0.104524i | ||||
\(296\) | 3.83022 | − | 6.63414i | 0.222627 | − | 0.385602i | ||||
\(297\) | −0.173648 | − | 0.300767i | −0.0100761 | − | 0.0174523i | ||||
\(298\) | 9.41921 | − | 7.90366i | 0.545640 | − | 0.457847i | ||||
\(299\) | 36.1447 | − | 13.1556i | 2.09030 | − | 0.760808i | ||||
\(300\) | 0.939693 | + | 0.342020i | 0.0542532 | + | 0.0197465i | ||||
\(301\) | 25.0455 | + | 21.0157i | 1.44360 | + | 1.21132i | ||||
\(302\) | 1.22668 | − | 6.95686i | 0.0705876 | − | 0.400322i | ||||
\(303\) | −12.4534 | −0.715427 | ||||||||
\(304\) | −4.29813 | + | 0.725293i | −0.246515 | + | 0.0415984i | ||||
\(305\) | −11.5175 | −0.659492 | ||||||||
\(306\) | 1.22668 | − | 6.95686i | 0.0701247 | − | 0.397697i | ||||
\(307\) | −24.5672 | − | 20.6143i | −1.40212 | − | 1.17652i | −0.960148 | − | 0.279493i | \(-0.909834\pi\) |
−0.441975 | − | 0.897027i | \(-0.645722\pi\) | |||||||
\(308\) | 1.49273 | + | 0.543308i | 0.0850560 | + | 0.0309578i | ||||
\(309\) | −1.21941 | + | 0.443828i | −0.0693697 | + | 0.0252485i | ||||
\(310\) | −1.81521 | + | 1.52314i | −0.103097 | + | 0.0865085i | ||||
\(311\) | 9.96316 | + | 17.2567i | 0.564959 | + | 0.978538i | 0.997053 | + | 0.0767096i | \(0.0244414\pi\) |
−0.432094 | + | 0.901828i | \(0.642225\pi\) | |||||||
\(312\) | 3.25877 | − | 5.64436i | 0.184492 | − | 0.319549i | ||||
\(313\) | 4.88207 | + | 27.6876i | 0.275951 | + | 1.56500i | 0.735924 | + | 0.677064i | \(0.236748\pi\) |
−0.459973 | + | 0.887933i | \(0.652141\pi\) | |||||||
\(314\) | −0.187319 | − | 1.06234i | −0.0105710 | − | 0.0599512i | ||||
\(315\) | 2.28699 | − | 3.96118i | 0.128857 | − | 0.223187i | ||||
\(316\) | −4.36959 | − | 7.56834i | −0.245808 | − | 0.425753i | ||||
\(317\) | −8.52687 | + | 7.15490i | −0.478917 | + | 0.401859i | −0.850035 | − | 0.526727i | \(-0.823419\pi\) |
0.371118 | + | 0.928586i | \(0.378975\pi\) | |||||||
\(318\) | −9.70961 | + | 3.53401i | −0.544488 | + | 0.198177i | ||||
\(319\) | −1.65270 | − | 0.601535i | −0.0925336 | − | 0.0336795i | ||||
\(320\) | −0.766044 | − | 0.642788i | −0.0428232 | − | 0.0359329i | ||||
\(321\) | −2.82295 | + | 16.0097i | −0.157562 | + | 0.893576i | ||||
\(322\) | −26.9941 | −1.50432 | ||||||||
\(323\) | −19.6186 | − | 23.7331i | −1.09161 | − | 1.32055i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −1.13176 | + | 6.41852i | −0.0627787 | + | 0.356036i | ||||
\(326\) | −9.75877 | − | 8.18858i | −0.540488 | − | 0.453524i | ||||
\(327\) | −1.53209 | − | 0.557635i | −0.0847247 | − | 0.0308373i | ||||
\(328\) | 0.446967 | − | 0.162683i | 0.0246796 | − | 0.00898264i | ||||
\(329\) | −20.4029 | + | 17.1200i | −1.12485 | + | 0.943858i | ||||
\(330\) | −0.173648 | − | 0.300767i | −0.00955902 | − | 0.0165567i | ||||
\(331\) | −8.04576 | + | 13.9357i | −0.442235 | + | 0.765973i | −0.997855 | − | 0.0654629i | \(-0.979148\pi\) |
0.555620 | + | 0.831436i | \(0.312481\pi\) | |||||||
\(332\) | 0.290859 | + | 1.64955i | 0.0159630 | + | 0.0905306i | ||||
\(333\) | 1.33022 | + | 7.54407i | 0.0728957 | + | 0.413412i | ||||
\(334\) | −0.0898700 | + | 0.155659i | −0.00491747 | + | 0.00851731i | ||||
\(335\) | 0.305407 | + | 0.528981i | 0.0166862 | + | 0.0289013i | ||||
\(336\) | −3.50387 | + | 2.94010i | −0.191152 | + | 0.160395i | ||||
\(337\) | −25.4739 | + | 9.27174i | −1.38765 | + | 0.505064i | −0.924489 | − | 0.381209i | \(-0.875508\pi\) |
−0.463163 | + | 0.886273i | \(0.653285\pi\) | |||||||
\(338\) | 27.7006 | + | 10.0822i | 1.50671 | + | 0.548399i | ||||
\(339\) | −3.78106 | − | 3.17269i | −0.205359 | − | 0.172317i | ||||
\(340\) | 1.22668 | − | 6.95686i | 0.0665262 | − | 0.377289i | ||||
\(341\) | 0.822948 | 0.0445651 | ||||||||
\(342\) | 2.82635 | − | 3.31839i | 0.152832 | − | 0.179438i | ||||
\(343\) | 31.6578 | 1.70936 | ||||||||
\(344\) | −1.24123 | + | 7.03936i | −0.0669226 | + | 0.379537i | ||||
\(345\) | 4.52094 | + | 3.79352i | 0.243399 | + | 0.204236i | ||||
\(346\) | −12.8293 | − | 4.66950i | −0.689710 | − | 0.251034i | ||||
\(347\) | 11.0915 | − | 4.03698i | 0.595424 | − | 0.216717i | −0.0266894 | − | 0.999644i | \(-0.508497\pi\) |
0.622113 | + | 0.782927i | \(0.286274\pi\) | |||||||
\(348\) | 3.87939 | − | 3.25519i | 0.207957 | − | 0.174497i | ||||
\(349\) | 13.9094 | + | 24.0918i | 0.744554 | + | 1.28961i | 0.950403 | + | 0.311021i | \(0.100671\pi\) |
−0.205849 | + | 0.978584i | \(0.565996\pi\) | |||||||
\(350\) | 2.28699 | − | 3.96118i | 0.122245 | − | 0.211734i | ||||
\(351\) | 1.13176 | + | 6.41852i | 0.0604088 | + | 0.342596i | ||||
\(352\) | 0.0603074 | + | 0.342020i | 0.00321439 | + | 0.0182297i | ||||
\(353\) | 8.36959 | − | 14.4965i | 0.445468 | − | 0.771573i | −0.552617 | − | 0.833436i | \(-0.686371\pi\) |
0.998085 | + | 0.0618623i | \(0.0197039\pi\) | |||||||
\(354\) | −0.911474 | − | 1.57872i | −0.0484443 | − | 0.0839080i | ||||
\(355\) | 9.00774 | − | 7.55839i | 0.478081 | − | 0.401158i | ||||
\(356\) | 10.1839 | − | 3.70664i | 0.539746 | − | 0.196452i | ||||
\(357\) | −30.3628 | − | 11.0511i | −1.60697 | − | 0.584889i | ||||
\(358\) | 16.3858 | + | 13.7493i | 0.866015 | + | 0.726673i | ||||
\(359\) | −0.650015 | + | 3.68642i | −0.0343065 | + | 0.194562i | −0.997144 | − | 0.0755180i | \(-0.975939\pi\) |
0.962838 | + | 0.270080i | \(0.0870501\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −3.02347 | − | 18.7579i | −0.159130 | − | 0.987258i | ||||
\(362\) | −8.29591 | −0.436023 | ||||||||
\(363\) | 1.88919 | − | 10.7141i | 0.0991565 | − | 0.562345i | ||||
\(364\) | −22.8366 | − | 19.1622i | −1.19696 | − | 1.00437i | ||||
\(365\) | −6.06418 | − | 2.20718i | −0.317414 | − | 0.115529i | ||||
\(366\) | −10.8229 | + | 3.93923i | −0.565725 | + | 0.205907i | ||||
\(367\) | −3.38460 | + | 2.84002i | −0.176675 | + | 0.148248i | −0.726837 | − | 0.686810i | \(-0.759010\pi\) |
0.550162 | + | 0.835058i | \(0.314566\pi\) | |||||||
\(368\) | −2.95084 | − | 5.11100i | −0.153823 | − | 0.266429i | ||||
\(369\) | −0.237826 | + | 0.411927i | −0.0123807 | + | 0.0214440i | ||||
\(370\) | 1.33022 | + | 7.54407i | 0.0691550 | + | 0.392197i | ||||
\(371\) | 8.20692 | + | 46.5438i | 0.426082 | + | 2.41643i | ||||
\(372\) | −1.18479 | + | 2.05212i | −0.0614286 | + | 0.106398i | ||||
\(373\) | −0.457234 | − | 0.791952i | −0.0236747 | − | 0.0410057i | 0.853945 | − | 0.520363i | \(-0.174203\pi\) |
−0.877620 | + | 0.479357i | \(0.840870\pi\) | |||||||
\(374\) | −1.87939 | + | 1.57699i | −0.0971807 | + | 0.0815443i | ||||
\(375\) | −0.939693 | + | 0.342020i | −0.0485255 | + | 0.0176618i | ||||
\(376\) | −5.47178 | − | 1.99157i | −0.282186 | − | 0.102707i | ||||
\(377\) | 25.2841 | + | 21.2158i | 1.30219 | + | 1.09267i | ||||
\(378\) | 0.794263 | − | 4.50449i | 0.0408525 | − | 0.231686i | ||||
\(379\) | −25.7101 | −1.32064 | −0.660319 | − | 0.750985i | \(-0.729579\pi\) | ||||
−0.660319 | + | 0.750985i | \(0.729579\pi\) | |||||||
\(380\) | 2.82635 | − | 3.31839i | 0.144989 | − | 0.170230i | ||||
\(381\) | 2.18210 | 0.111793 | ||||||||
\(382\) | 2.24897 | − | 12.7545i | 0.115067 | − | 0.652579i | ||||
\(383\) | 11.9244 | + | 10.0058i | 0.609310 | + | 0.511272i | 0.894423 | − | 0.447222i | \(-0.147587\pi\) |
−0.285113 | + | 0.958494i | \(0.592031\pi\) | |||||||
\(384\) | −0.939693 | − | 0.342020i | −0.0479535 | − | 0.0174536i | ||||
\(385\) | −1.49273 | + | 0.543308i | −0.0760764 | + | 0.0276895i | ||||
\(386\) | 9.88713 | − | 8.29628i | 0.503241 | − | 0.422270i | ||||
\(387\) | −3.57398 | − | 6.19031i | −0.181676 | − | 0.314671i | ||||
\(388\) | −0.532089 | + | 0.921605i | −0.0270127 | + | 0.0467874i | ||||
\(389\) | 1.13341 | + | 6.42788i | 0.0574661 | + | 0.325906i | 0.999966 | − | 0.00830137i | \(-0.00264244\pi\) |
−0.942499 | + | 0.334208i | \(0.891531\pi\) | |||||||
\(390\) | 1.13176 | + | 6.41852i | 0.0573089 | + | 0.325015i | ||||
\(391\) | 20.8452 | − | 36.1050i | 1.05419 | − | 1.82591i | ||||
\(392\) | 6.96064 | + | 12.0562i | 0.351565 | + | 0.608929i | ||||
\(393\) | 1.45677 | − | 1.22237i | 0.0734842 | − | 0.0616605i | ||||
\(394\) | −10.8166 | + | 3.93690i | −0.544930 | + | 0.198338i | ||||
\(395\) | 8.21213 | + | 2.98897i | 0.413197 | + | 0.150392i | ||||
\(396\) | −0.266044 | − | 0.223238i | −0.0133692 | − | 0.0112181i | ||||
\(397\) | −1.54101 | + | 8.73951i | −0.0773412 | + | 0.438624i | 0.921407 | + | 0.388599i | \(0.127041\pi\) |
−0.998748 | + | 0.0500242i | \(0.984070\pi\) | |||||||
\(398\) | 24.1830 | 1.21219 | ||||||||
\(399\) | −12.7028 | − | 15.3669i | −0.635935 | − | 0.769310i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 6.64321 | − | 37.6755i | 0.331746 | − | 1.88142i | −0.125514 | − | 0.992092i | \(-0.540058\pi\) |
0.457260 | − | 0.889333i | \(-0.348831\pi\) | |||||||
\(402\) | 0.467911 | + | 0.392624i | 0.0233373 | + | 0.0195823i | ||||
\(403\) | −14.5125 | − | 5.28211i | −0.722919 | − | 0.263121i | ||||
\(404\) | −11.7023 | + | 4.25930i | −0.582213 | + | 0.211908i | ||||
\(405\) | −0.766044 | + | 0.642788i | −0.0380651 | + | 0.0319404i | ||||
\(406\) | −11.5817 | − | 20.0601i | −0.574791 | − | 0.995567i | ||||
\(407\) | 1.33022 | − | 2.30401i | 0.0659367 | − | 0.114206i | ||||
\(408\) | −1.22668 | − | 6.95686i | −0.0607298 | − | 0.344416i | ||||
\(409\) | 0.242574 | + | 1.37570i | 0.0119945 | + | 0.0680242i | 0.990217 | − | 0.139532i | \(-0.0445600\pi\) |
−0.978223 | + | 0.207557i | \(0.933449\pi\) | |||||||
\(410\) | −0.237826 | + | 0.411927i | −0.0117454 | + | 0.0203436i | ||||
\(411\) | −0.573978 | − | 0.994159i | −0.0283122 | − | 0.0490382i | ||||
\(412\) | −0.994070 | + | 0.834124i | −0.0489743 | + | 0.0410943i | ||||
\(413\) | −7.83527 | + | 2.85181i | −0.385549 | + | 0.140328i | ||||
\(414\) | 5.54576 | + | 2.01849i | 0.272559 | + | 0.0992034i | ||||
\(415\) | −1.28312 | − | 1.07666i | −0.0629858 | − | 0.0528514i | ||||
\(416\) | 1.13176 | − | 6.41852i | 0.0554891 | − | 0.314694i | ||||
\(417\) | 23.2276 | 1.13746 | ||||||||
\(418\) | −1.49273 | + | 0.251892i | −0.0730116 | + | 0.0123204i | ||||
\(419\) | −12.1361 | −0.592887 | −0.296444 | − | 0.955050i | \(-0.595801\pi\) | ||||
−0.296444 | + | 0.955050i | \(0.595801\pi\) | |||||||
\(420\) | 0.794263 | − | 4.50449i | 0.0387561 | − | 0.219797i | ||||
\(421\) | −0.0523182 | − | 0.0439002i | −0.00254983 | − | 0.00213956i | 0.641512 | − | 0.767113i | \(-0.278308\pi\) |
−0.644062 | + | 0.764974i | \(0.722752\pi\) | |||||||
\(422\) | −5.35369 | − | 1.94858i | −0.260614 | − | 0.0948556i | ||||
\(423\) | 5.47178 | − | 1.99157i | 0.266047 | − | 0.0968332i | ||||
\(424\) | −7.91534 | + | 6.64176i | −0.384403 | + | 0.322553i | ||||
\(425\) | 3.53209 | + | 6.11776i | 0.171331 | + | 0.296755i | ||||
\(426\) | 5.87939 | − | 10.1834i | 0.284857 | − | 0.493387i | ||||
\(427\) | 9.14796 | + | 51.8806i | 0.442701 | + | 2.51068i | ||||
\(428\) | 2.82295 | + | 16.0097i | 0.136452 | + | 0.773860i | ||||
\(429\) | 1.13176 | − | 1.96026i | 0.0546418 | − | 0.0946425i | ||||
\(430\) | −3.57398 | − | 6.19031i | −0.172353 | − | 0.298523i | ||||
\(431\) | −1.55438 | + | 1.30428i | −0.0748717 | + | 0.0628248i | −0.679455 | − | 0.733717i | \(-0.737784\pi\) |
0.604584 | + | 0.796542i | \(0.293339\pi\) | |||||||
\(432\) | 0.939693 | − | 0.342020i | 0.0452110 | − | 0.0164555i | ||||
\(433\) | 10.5963 | + | 3.85673i | 0.509224 | + | 0.185342i | 0.583838 | − | 0.811870i | \(-0.301550\pi\) |
−0.0746141 | + | 0.997212i | \(0.523772\pi\) | |||||||
\(434\) | 8.30272 | + | 6.96681i | 0.398543 | + | 0.334418i | ||||
\(435\) | −0.879385 | + | 4.98724i | −0.0421633 | + | 0.239120i | ||||
\(436\) | −1.63041 | −0.0780827 | ||||||||
\(437\) | 22.3724 | − | 12.6980i | 1.07022 | − | 0.607430i | ||||
\(438\) | −6.45336 | −0.308354 | ||||||||
\(439\) | 1.63041 | − | 9.24654i | 0.0778155 | − | 0.441313i | −0.920861 | − | 0.389890i | \(-0.872513\pi\) |
0.998677 | − | 0.0514235i | \(-0.0163758\pi\) | |||||||
\(440\) | −0.266044 | − | 0.223238i | −0.0126832 | − | 0.0106424i | ||||
\(441\) | −13.0817 | − | 4.76136i | −0.622939 | − | 0.226731i | ||||
\(442\) | 43.2645 | − | 15.7470i | 2.05788 | − | 0.749007i | ||||
\(443\) | −4.20439 | + | 3.52790i | −0.199757 | + | 0.167616i | −0.737179 | − | 0.675697i | \(-0.763843\pi\) |
0.537422 | + | 0.843313i | \(0.319398\pi\) | |||||||
\(444\) | 3.83022 | + | 6.63414i | 0.181774 | + | 0.314842i | ||||
\(445\) | −5.41875 | + | 9.38555i | −0.256873 | + | 0.444918i | ||||
\(446\) | 4.09034 | + | 23.1975i | 0.193683 | + | 1.09843i | ||||
\(447\) | 2.13516 | + | 12.1091i | 0.100990 | + | 0.572741i | ||||
\(448\) | −2.28699 | + | 3.96118i | −0.108050 | + | 0.187148i | ||||
\(449\) | 9.30200 | + | 16.1115i | 0.438989 | + | 0.760351i | 0.997612 | − | 0.0690709i | \(-0.0220035\pi\) |
−0.558623 | + | 0.829422i | \(0.688670\pi\) | |||||||
\(450\) | −0.766044 | + | 0.642788i | −0.0361117 | + | 0.0303013i | ||||
\(451\) | 0.155230 | − | 0.0564991i | 0.00730949 | − | 0.00266044i | ||||
\(452\) | −4.63816 | − | 1.68815i | −0.218160 | − | 0.0794039i | ||||
\(453\) | 5.41147 | + | 4.54077i | 0.254253 | + | 0.213344i | ||||
\(454\) | −4.33275 | + | 24.5722i | −0.203346 | + | 1.15323i | ||||
\(455\) | 29.8111 | 1.39757 | ||||||||
\(456\) | 1.52094 | − | 4.08494i | 0.0712248 | − | 0.191295i | ||||
\(457\) | 34.8931 | 1.63223 | 0.816115 | − | 0.577889i | \(-0.196123\pi\) | ||||
0.816115 | + | 0.577889i | \(0.196123\pi\) | |||||||
\(458\) | −0.711829 | + | 4.03698i | −0.0332616 | + | 0.188636i | ||||
\(459\) | 5.41147 | + | 4.54077i | 0.252586 | + | 0.211945i | ||||
\(460\) | 5.54576 | + | 2.01849i | 0.258572 | + | 0.0941126i | ||||
\(461\) | −31.4270 | + | 11.4385i | −1.46370 | + | 0.532743i | −0.946382 | − | 0.323051i | \(-0.895292\pi\) |
−0.517318 | + | 0.855794i | \(0.673069\pi\) | |||||||
\(462\) | −1.21688 | + | 1.02108i | −0.0566144 | + | 0.0475052i | ||||
\(463\) | 3.52094 | + | 6.09845i | 0.163632 | + | 0.283419i | 0.936169 | − | 0.351551i | \(-0.114346\pi\) |
−0.772537 | + | 0.634970i | \(0.781012\pi\) | |||||||
\(464\) | 2.53209 | − | 4.38571i | 0.117549 | − | 0.203601i | ||||
\(465\) | −0.411474 | − | 2.33359i | −0.0190817 | − | 0.108217i | ||||
\(466\) | 2.69459 | + | 15.2818i | 0.124825 | + | 0.707915i | ||||
\(467\) | −13.4115 | + | 23.2294i | −0.620609 | + | 1.07493i | 0.368763 | + | 0.929523i | \(0.379781\pi\) |
−0.989373 | + | 0.145403i | \(0.953552\pi\) | |||||||
\(468\) | 3.25877 | + | 5.64436i | 0.150637 | + | 0.260910i | ||||
\(469\) | 2.14022 | − | 1.79585i | 0.0988260 | − | 0.0829248i | ||||
\(470\) | 5.47178 | − | 1.99157i | 0.252394 | − | 0.0918641i | ||||
\(471\) | 1.01367 | + | 0.368946i | 0.0467075 | + | 0.0170001i | ||||
\(472\) | −1.39646 | − | 1.17177i | −0.0642773 | − | 0.0539350i | ||||
\(473\) | −0.431074 | + | 2.44474i | −0.0198208 | + | 0.112409i | ||||
\(474\) | 8.73917 | 0.401403 | ||||||||
\(475\) | −0.0320889 | + | 4.35878i | −0.00147234 | + | 0.199995i | ||||
\(476\) | −32.3114 | −1.48099 | ||||||||
\(477\) | 1.79426 | − | 10.1758i | 0.0821537 | − | 0.465917i | ||||
\(478\) | −3.32501 | − | 2.79001i | −0.152082 | − | 0.127612i | ||||
\(479\) | 16.9145 | + | 6.15636i | 0.772842 | + | 0.281291i | 0.698185 | − | 0.715918i | \(-0.253992\pi\) |
0.0746572 | + | 0.997209i | \(0.476214\pi\) | |||||||
\(480\) | 0.939693 | − | 0.342020i | 0.0428909 | − | 0.0156110i | ||||
\(481\) | −38.2465 | + | 32.0926i | −1.74389 | + | 1.46330i | ||||
\(482\) | 5.86959 | + | 10.1664i | 0.267352 | + | 0.463068i | ||||
\(483\) | 13.4971 | − | 23.3776i | 0.614138 | − | 1.06372i | ||||
\(484\) | −1.88919 | − | 10.7141i | −0.0858721 | − | 0.487005i | ||||
\(485\) | −0.184793 | − | 1.04801i | −0.00839100 | − | 0.0475877i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | 6.37851 | + | 11.0479i | 0.289038 | + | 0.500628i | 0.973580 | − | 0.228345i | \(-0.0733313\pi\) |
−0.684543 | + | 0.728973i | \(0.739998\pi\) | |||||||
\(488\) | −8.82295 | + | 7.40333i | −0.399396 | + | 0.335133i | ||||
\(489\) | 11.9709 | − | 4.35705i | 0.541343 | − | 0.197033i | ||||
\(490\) | −13.0817 | − | 4.76136i | −0.590972 | − | 0.215096i | ||||
\(491\) | −16.9283 | − | 14.2045i | −0.763963 | − | 0.641041i | 0.175192 | − | 0.984534i | \(-0.443945\pi\) |
−0.939155 | + | 0.343493i | \(0.888390\pi\) | |||||||
\(492\) | −0.0825961 | + | 0.468426i | −0.00372372 | + | 0.0211183i | ||||
\(493\) | 35.7743 | 1.61119 | ||||||||
\(494\) | 27.9406 | + | 5.13905i | 1.25711 | + | 0.231217i | ||||
\(495\) | 0.347296 | 0.0156098 | ||||||||
\(496\) | −0.411474 | + | 2.33359i | −0.0184757 | + | 0.104781i | ||||
\(497\) | −41.2012 | − | 34.5719i | −1.84813 | − | 1.55076i | ||||
\(498\) | −1.57398 | − | 0.572881i | −0.0705316 | − | 0.0256714i | ||||
\(499\) | −36.3282 | + | 13.2224i | −1.62627 | + | 0.591915i | −0.984563 | − | 0.175033i | \(-0.943997\pi\) |
−0.641709 | + | 0.766948i | \(0.721774\pi\) | |||||||
\(500\) | −0.766044 | + | 0.642788i | −0.0342585 | + | 0.0287463i | ||||
\(501\) | −0.0898700 | − | 0.155659i | −0.00401510 | − | 0.00695435i | ||||
\(502\) | −2.02435 | + | 3.50627i | −0.0903511 | + | 0.156493i | ||||
\(503\) | −4.58734 | − | 26.0161i | −0.204540 | − | 1.16000i | −0.898163 | − | 0.439663i | \(-0.855098\pi\) |
0.693623 | − | 0.720338i | \(-0.256013\pi\) | |||||||
\(504\) | −0.794263 | − | 4.50449i | −0.0353793 | − | 0.200646i | ||||
\(505\) | 6.22668 | − | 10.7849i | 0.277084 | − | 0.479923i | ||||
\(506\) | −1.02481 | − | 1.77503i | −0.0455586 | − | 0.0789098i | ||||
\(507\) | −22.5817 | + | 18.9483i | −1.00289 | + | 0.841524i | ||||
\(508\) | 2.05051 | − | 0.746324i | 0.0909765 | − | 0.0331128i | ||||
\(509\) | 17.5303 | + | 6.38052i | 0.777018 | + | 0.282812i | 0.699929 | − | 0.714213i | \(-0.253215\pi\) |
0.0770896 | + | 0.997024i | \(0.475437\pi\) | |||||||
\(510\) | 5.41147 | + | 4.54077i | 0.239624 | + | 0.201068i | ||||
\(511\) | −5.12567 | + | 29.0691i | −0.226746 | + | 1.28594i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 1.46064 | + | 4.10689i | 0.0644887 | + | 0.181324i | ||||
\(514\) | 14.2567 | 0.628837 | ||||||||
\(515\) | 0.225337 | − | 1.27795i | 0.00992955 | − | 0.0563133i | ||||
\(516\) | −5.47565 | − | 4.59462i | −0.241052 | − | 0.202267i | ||||
\(517\) | −1.90033 | − | 0.691663i | −0.0835764 | − | 0.0304193i | ||||
\(518\) | 32.9256 | − | 11.9839i | 1.44667 | − | 0.526544i | ||||
\(519\) | 10.4586 | − | 8.77579i | 0.459081 | − | 0.385214i | ||||
\(520\) | 3.25877 | + | 5.64436i | 0.142907 | + | 0.247521i | ||||
\(521\) | 15.5817 | − | 26.9883i | 0.682647 | − | 1.18238i | −0.291522 | − | 0.956564i | \(-0.594162\pi\) |
0.974170 | − | 0.225816i | \(-0.0725049\pi\) | |||||||
\(522\) | 0.879385 | + | 4.98724i | 0.0384896 | + | 0.218286i | ||||
\(523\) | 2.83481 | + | 16.0770i | 0.123957 | + | 0.702998i | 0.981922 | + | 0.189288i | \(0.0606180\pi\) |
−0.857964 | + | 0.513710i | \(0.828271\pi\) | |||||||
\(524\) | 0.950837 | − | 1.64690i | 0.0415375 | − | 0.0719451i | ||||
\(525\) | 2.28699 | + | 3.96118i | 0.0998124 | + | 0.172880i | ||||
\(526\) | 11.0890 | − | 9.30477i | 0.483503 | − | 0.405707i | ||||
\(527\) | −15.7297 | + | 5.72513i | −0.685195 | + | 0.249391i | ||||
\(528\) | −0.326352 | − | 0.118782i | −0.0142026 | − | 0.00516934i | ||||
\(529\) | 9.06212 | + | 7.60402i | 0.394005 | + | 0.330610i | ||||
\(530\) | 1.79426 | − | 10.1758i | 0.0779378 | − | 0.442007i | ||||
\(531\) | 1.82295 | 0.0791092 | ||||||||
\(532\) | −17.1925 | − | 10.0956i | −0.745391 | − | 0.437699i | ||||
\(533\) | −3.10008 | −0.134279 | ||||||||
\(534\) | −1.88191 | + | 10.6729i | −0.0814383 | + | 0.461859i | ||||
\(535\) | −12.4534 | − | 10.4496i | −0.538406 | − | 0.451776i | ||||
\(536\) | 0.573978 | + | 0.208911i | 0.0247921 | + | 0.00902358i | ||||
\(537\) | −20.1001 | + | 7.31585i | −0.867385 | + | 0.315702i | ||||
\(538\) | 2.27126 | − | 1.90581i | 0.0979209 | − | 0.0821654i | ||||
\(539\) | 2.41740 | + | 4.18707i | 0.104125 | + | 0.180350i | ||||
\(540\) | −0.500000 | + | 0.866025i | −0.0215166 | + | 0.0372678i | ||||
\(541\) | −4.79055 | − | 27.1686i | −0.205962 | − | 1.16807i | −0.895919 | − | 0.444218i | \(-0.853482\pi\) |
0.689957 | − | 0.723851i | \(-0.257630\pi\) | |||||||
\(542\) | −4.82026 | − | 27.3371i | −0.207048 | − | 1.17423i | ||||
\(543\) | 4.14796 | − | 7.18447i | 0.178006 | − | 0.308315i | ||||
\(544\) | −3.53209 | − | 6.11776i | −0.151437 | − | 0.262297i | ||||
\(545\) | 1.24897 | − | 1.04801i | 0.0535000 | − | 0.0448918i | ||||
\(546\) | 28.0133 | − | 10.1960i | 1.19886 | − | 0.436348i | ||||
\(547\) | 15.7151 | + | 5.71984i | 0.671930 | + | 0.244563i | 0.655379 | − | 0.755300i | \(-0.272509\pi\) |
0.0165515 | + | 0.999863i | \(0.494731\pi\) | |||||||
\(548\) | −0.879385 | − | 0.737892i | −0.0375655 | − | 0.0315212i | ||||
\(549\) | 2.00000 | − | 11.3426i | 0.0853579 | − | 0.484089i | ||||
\(550\) | 0.347296 | 0.0148088 | ||||||||
\(551\) | 19.0351 | + | 11.1776i | 0.810922 | + | 0.476180i | ||||
\(552\) | 5.90167 | 0.251192 | ||||||||
\(553\) | 6.94120 | − | 39.3655i | 0.295170 | − | 1.67399i | ||||
\(554\) | −1.73190 | − | 1.45323i | −0.0735812 | − | 0.0617420i | ||||
\(555\) | −7.19846 | − | 2.62003i | −0.305558 | − | 0.111214i | ||||
\(556\) | 21.8268 | − | 7.94431i | 0.925663 | − | 0.336914i | ||||
\(557\) | 7.92720 | − | 6.65171i | 0.335886 | − | 0.281842i | −0.459207 | − | 0.888329i | \(-0.651866\pi\) |
0.795093 | + | 0.606487i | \(0.207422\pi\) | |||||||
\(558\) | −1.18479 | − | 2.05212i | −0.0501563 | − | 0.0868732i | ||||
\(559\) | 23.2935 | − | 40.3456i | 0.985212 | − | 1.70644i | ||||
\(560\) | −0.794263 | − | 4.50449i | −0.0335637 | − | 0.190349i | ||||
\(561\) | −0.426022 | − | 2.41609i | −0.0179867 | − | 0.102007i | ||||
\(562\) | −8.14677 | + | 14.1106i | −0.343651 | + | 0.595221i | ||||
\(563\) | 21.9094 | + | 37.9482i | 0.923372 | + | 1.59933i | 0.794159 | + | 0.607710i | \(0.207912\pi\) |
0.129213 | + | 0.991617i | \(0.458755\pi\) | |||||||
\(564\) | 4.46064 | − | 3.74292i | 0.187827 | − | 0.157605i | ||||
\(565\) | 4.63816 | − | 1.68815i | 0.195129 | − | 0.0710210i | ||||
\(566\) | 0.546637 | + | 0.198960i | 0.0229769 | + | 0.00836289i | ||||
\(567\) | 3.50387 | + | 2.94010i | 0.147149 | + | 0.123472i | ||||
\(568\) | 2.04189 | − | 11.5801i | 0.0856758 | − | 0.485891i | ||||
\(569\) | −26.1070 | −1.09446 | −0.547231 | − | 0.836981i | \(-0.684318\pi\) | ||||
−0.547231 | + | 0.836981i | \(0.684318\pi\) | |||||||
\(570\) | 1.46064 | + | 4.10689i | 0.0611794 | + | 0.172019i | ||||
\(571\) | −39.3560 | −1.64700 | −0.823498 | − | 0.567319i | \(-0.807981\pi\) | ||||
−0.823498 | + | 0.567319i | \(0.807981\pi\) | |||||||
\(572\) | 0.393056 | − | 2.22913i | 0.0164345 | − | 0.0932046i | ||||
\(573\) | 9.92127 | + | 8.32494i | 0.414467 | + | 0.347779i | ||||
\(574\) | 2.04442 | + | 0.744106i | 0.0853322 | + | 0.0310584i | ||||
\(575\) | −5.54576 | + | 2.01849i | −0.231274 | + | 0.0841769i | ||||
\(576\) | 0.766044 | − | 0.642788i | 0.0319185 | − | 0.0267828i | ||||
\(577\) | 8.64590 | + | 14.9751i | 0.359933 | + | 0.623423i | 0.987949 | − | 0.154778i | \(-0.0494661\pi\) |
−0.628016 | + | 0.778200i | \(0.716133\pi\) | |||||||
\(578\) | 16.4513 | − | 28.4945i | 0.684284 | − | 1.18521i | ||||
\(579\) | 2.24123 | + | 12.7106i | 0.0931423 | + | 0.528236i | ||||
\(580\) | 0.879385 | + | 4.98724i | 0.0365145 | + | 0.207084i | ||||
\(581\) | −3.83069 | + | 6.63495i | −0.158924 | + | 0.275264i | ||||
\(582\) | −0.532089 | − | 0.921605i | −0.0220558 | − | 0.0382018i | ||||
\(583\) | −2.74897 | + | 2.30666i | −0.113851 | + | 0.0955321i | ||||
\(584\) | −6.06418 | + | 2.20718i | −0.250937 | + | 0.0913338i | ||||
\(585\) | −6.12449 | − | 2.22913i | −0.253216 | − | 0.0921632i | ||||
\(586\) | −17.0514 | − | 14.3079i | −0.704389 | − | 0.591052i | ||||
\(587\) | 0.681799 | − | 3.86668i | 0.0281409 | − | 0.159595i | −0.967499 | − | 0.252875i | \(-0.918624\pi\) |
0.995640 | + | 0.0932798i | \(0.0297351\pi\) | |||||||
\(588\) | −13.9213 | −0.574104 | ||||||||
\(589\) | −10.1584 | − | 1.86841i | −0.418569 | − | 0.0769864i | ||||
\(590\) | 1.82295 | 0.0750496 | ||||||||
\(591\) | 1.99882 | − | 11.3359i | 0.0822204 | − | 0.466295i | ||||
\(592\) | 5.86824 | + | 4.92404i | 0.241183 | + | 0.202377i | ||||
\(593\) | −31.8307 | − | 11.5854i | −1.30713 | − | 0.475756i | −0.407818 | − | 0.913063i | \(-0.633710\pi\) |
−0.899312 | + | 0.437307i | \(0.855932\pi\) | |||||||
\(594\) | 0.326352 | − | 0.118782i | 0.0133904 | − | 0.00487370i | ||||
\(595\) | 24.7520 | − | 20.7694i | 1.01473 | − | 0.851461i | ||||
\(596\) | 6.14796 | + | 10.6486i | 0.251830 | + | 0.436183i | ||||
\(597\) | −12.0915 | + | 20.9431i | −0.494873 | + | 0.857145i | ||||
\(598\) | 6.67927 | + | 37.8800i | 0.273136 | + | 1.54903i | ||||
\(599\) | −4.21894 | − | 23.9268i | −0.172381 | − | 0.977623i | −0.941123 | − | 0.338064i | \(-0.890228\pi\) |
0.768742 | − | 0.639559i | \(-0.220883\pi\) | |||||||
\(600\) | −0.500000 | + | 0.866025i | −0.0204124 | + | 0.0353553i | ||||
\(601\) | 18.6270 | + | 32.2629i | 0.759812 | + | 1.31603i | 0.942946 | + | 0.332945i | \(0.108042\pi\) |
−0.183135 | + | 0.983088i | \(0.558624\pi\) | |||||||
\(602\) | −25.0455 | + | 21.0157i | −1.02078 | + | 0.856535i | ||||
\(603\) | −0.573978 | + | 0.208911i | −0.0233742 | + | 0.00850751i | ||||
\(604\) | 6.63816 | + | 2.41609i | 0.270103 | + | 0.0983094i | ||||
\(605\) | 8.33409 | + | 6.99313i | 0.338829 | + | 0.284311i | ||||
\(606\) | 2.16250 | − | 12.2642i | 0.0878457 | − | 0.498198i | ||||
\(607\) | 17.4023 | 0.706338 | 0.353169 | − | 0.935560i | \(-0.385104\pi\) | ||||
0.353169 | + | 0.935560i | \(0.385104\pi\) | |||||||
\(608\) | 0.0320889 | − | 4.35878i | 0.00130138 | − | 0.176772i | ||||
\(609\) | 23.1634 | 0.938630 | ||||||||
\(610\) | 2.00000 | − | 11.3426i | 0.0809776 | − | 0.459247i | ||||
\(611\) | 29.0724 | + | 24.3946i | 1.17614 | + | 0.986901i | ||||
\(612\) | 6.63816 | + | 2.41609i | 0.268332 | + | 0.0976647i | ||||
\(613\) | 28.8371 | − | 10.4958i | 1.16472 | − | 0.423923i | 0.313938 | − | 0.949443i | \(-0.398352\pi\) |
0.850781 | + | 0.525520i | \(0.176129\pi\) | |||||||
\(614\) | 24.5672 | − | 20.6143i | 0.991450 | − | 0.831926i | ||||
\(615\) | −0.237826 | − | 0.411927i | −0.00959007 | − | 0.0166105i | ||||
\(616\) | −0.794263 | + | 1.37570i | −0.0320018 | + | 0.0554287i | ||||
\(617\) | 2.71419 | + | 15.3930i | 0.109269 | + | 0.619697i | 0.989429 | + | 0.145019i | \(0.0463243\pi\) |
−0.880160 | + | 0.474678i | \(0.842565\pi\) | |||||||
\(618\) | −0.225337 | − | 1.27795i | −0.00906440 | − | 0.0514068i | ||||
\(619\) | 12.8319 | − | 22.2255i | 0.515756 | − | 0.893316i | −0.484076 | − | 0.875026i | \(-0.660844\pi\) |
0.999833 | − | 0.0182906i | \(-0.00582239\pi\) | |||||||
\(620\) | −1.18479 | − | 2.05212i | −0.0475824 | − | 0.0824152i | ||||
\(621\) | −4.52094 | + | 3.79352i | −0.181419 | + | 0.152229i | ||||
\(622\) | −18.7246 | + | 6.81521i | −0.750789 | + | 0.273265i | ||||
\(623\) | 46.5810 | + | 16.9541i | 1.86623 | + | 0.679252i | ||||
\(624\) | 4.99273 | + | 4.18939i | 0.199869 | + | 0.167710i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | −28.1147 | −1.12369 | ||||||||
\(627\) | 0.528218 | − | 1.41868i | 0.0210950 | − | 0.0566568i | ||||
\(628\) | 1.07873 | 0.0430458 | ||||||||
\(629\) | −9.39693 | + | 53.2926i | −0.374680 | + | 2.12492i | ||||
\(630\) | 3.50387 | + | 2.94010i | 0.139598 | + | 0.117136i | ||||
\(631\) | 5.92902 | + | 2.15799i | 0.236030 | + | 0.0859080i | 0.457327 | − | 0.889298i | \(-0.348807\pi\) |
−0.221297 | + | 0.975206i | \(0.571029\pi\) | |||||||
\(632\) | 8.21213 | − | 2.98897i | 0.326661 | − | 0.118895i | ||||
\(633\) | 4.36437 | − | 3.66214i | 0.173468 | − | 0.145557i | ||||
\(634\) | −5.56552 | − | 9.63977i | −0.221035 | − | 0.382844i | ||||
\(635\) | −1.09105 | + | 1.88976i | −0.0432971 | + | 0.0749927i | ||||
\(636\) | −1.79426 | − | 10.1758i | −0.0711472 | − | 0.403496i | ||||
\(637\) | −15.7555 | − | 89.3540i | −0.624257 | − | 3.54034i | ||||
\(638\) | 0.879385 | − | 1.52314i | 0.0348152 | − | 0.0603017i | ||||
\(639\) | 5.87939 | + | 10.1834i | 0.232585 | + | 0.402849i | ||||
\(640\) | 0.766044 | − | 0.642788i | 0.0302806 | − | 0.0254084i | ||||
\(641\) | 6.88831 | − | 2.50714i | 0.272072 | − | 0.0990260i | −0.202381 | − | 0.979307i | \(-0.564868\pi\) |
0.474453 | + | 0.880281i | \(0.342646\pi\) | |||||||
\(642\) | −15.2763 | − | 5.56012i | −0.602908 | − | 0.219441i | ||||
\(643\) | −2.45748 | − | 2.06207i | −0.0969136 | − | 0.0813202i | 0.593044 | − | 0.805170i | \(-0.297926\pi\) |
−0.689957 | + | 0.723850i | \(0.742371\pi\) | |||||||
\(644\) | 4.68748 | − | 26.5840i | 0.184713 | − | 1.04756i | ||||
\(645\) | 7.14796 | 0.281450 | ||||||||
\(646\) | 26.7793 | − | 15.1993i | 1.05362 | − | 0.598008i | ||||
\(647\) | −20.8767 | −0.820748 | −0.410374 | − | 0.911917i | \(-0.634602\pi\) | ||||
−0.410374 | + | 0.911917i | \(0.634602\pi\) | |||||||
\(648\) | −0.173648 | + | 0.984808i | −0.00682154 | + | 0.0386869i | ||||
\(649\) | −0.484985 | − | 0.406951i | −0.0190373 | − | 0.0159742i | ||||
\(650\) | −6.12449 | − | 2.22913i | −0.240222 | − | 0.0874337i | ||||
\(651\) | −10.1848 | + | 3.70696i | −0.399173 | + | 0.145287i | ||||
\(652\) | 9.75877 | − | 8.18858i | 0.382183 | − | 0.320690i | ||||
\(653\) | 18.8414 | + | 32.6342i | 0.737320 | + | 1.27708i | 0.953698 | + | 0.300766i | \(0.0972422\pi\) |
−0.216378 | + | 0.976310i | \(0.569425\pi\) | |||||||
\(654\) | 0.815207 | − | 1.41198i | 0.0318771 | − | 0.0552128i | ||||
\(655\) | 0.330222 | + | 1.87278i | 0.0129028 | + | 0.0731757i | ||||
\(656\) | 0.0825961 | + | 0.468426i | 0.00322484 | + | 0.0182890i | ||||
\(657\) | 3.22668 | − | 5.58878i | 0.125885 | − | 0.218039i | ||||
\(658\) | −13.3170 | − | 23.0658i | −0.519151 | − | 0.899197i | ||||
\(659\) | −4.39440 | + | 3.68734i | −0.171182 | + | 0.143638i | −0.724354 | − | 0.689429i | \(-0.757862\pi\) |
0.553172 | + | 0.833067i | \(0.313417\pi\) | |||||||
\(660\) | 0.326352 | − | 0.118782i | 0.0127032 | − | 0.00462360i | ||||
\(661\) | 10.6604 | + | 3.88008i | 0.414643 | + | 0.150918i | 0.540914 | − | 0.841078i | \(-0.318079\pi\) |
−0.126271 | + | 0.991996i | \(0.540301\pi\) | |||||||
\(662\) | −12.3268 | − | 10.3434i | −0.479095 | − | 0.402009i | ||||
\(663\) | −7.99495 | + | 45.3416i | −0.310498 | + | 1.76092i | ||||
\(664\) | −1.67499 | −0.0650023 | ||||||||
\(665\) | 19.6596 | − | 3.31747i | 0.762365 | − | 0.128646i | ||||
\(666\) | −7.66044 | −0.296836 | ||||||||
\(667\) | −5.18984 | + | 29.4331i | −0.200952 | + | 1.13965i | ||||
\(668\) | −0.137689 | − | 0.115535i | −0.00532734 | − | 0.00447017i | ||||
\(669\) | −22.1348 | − | 8.05639i | −0.855779 | − | 0.311478i | ||||
\(670\) | −0.573978 | + | 0.208911i | −0.0221747 | + | 0.00807093i | ||||
\(671\) | −3.06418 | + | 2.57115i | −0.118291 | + | 0.0992582i | ||||
\(672\) | −2.28699 | − | 3.96118i | −0.0882225 | − | 0.152806i | ||||
\(673\) | 11.7861 | − | 20.4141i | 0.454321 | − | 0.786907i | −0.544328 | − | 0.838873i | \(-0.683215\pi\) |
0.998649 | + | 0.0519653i | \(0.0165485\pi\) | |||||||
\(674\) | −4.70739 | − | 26.6969i | −0.181322 | − | 1.02833i | ||||
\(675\) | −0.173648 | − | 0.984808i | −0.00668372 | − | 0.0379053i | ||||
\(676\) | −14.7392 | + | 25.5290i | −0.566891 | + | 0.981884i | ||||
\(677\) | 2.35457 | + | 4.07824i | 0.0904935 | + | 0.156739i | 0.907719 | − | 0.419579i | \(-0.137822\pi\) |
−0.817225 | + | 0.576318i | \(0.804489\pi\) | |||||||
\(678\) | 3.78106 | − | 3.17269i | 0.145211 | − | 0.121846i | ||||
\(679\) | −4.57398 | + | 1.66479i | −0.175533 | + | 0.0638888i | ||||
\(680\) | 6.63816 | + | 2.41609i | 0.254562 | + | 0.0926529i | ||||
\(681\) | −19.1138 | − | 16.0384i | −0.732443 | − | 0.614592i | ||||
\(682\) | −0.142903 | + | 0.810446i | −0.00547206 | + | 0.0310336i | ||||
\(683\) | −6.18655 | −0.236722 | −0.118361 | − | 0.992971i | \(-0.537764\pi\) | ||||
−0.118361 | + | 0.992971i | \(0.537764\pi\) | |||||||
\(684\) | 2.77719 | + | 3.35965i | 0.106188 | + | 0.128459i | ||||
\(685\) | 1.14796 | 0.0438611 | ||||||||
\(686\) | −5.49731 | + | 31.1768i | −0.209888 | + | 1.19034i | ||||
\(687\) | −3.14022 | − | 2.63495i | −0.119807 | − | 0.100530i | ||||
\(688\) | −6.71688 | − | 2.44474i | −0.256079 | − | 0.0932050i | ||||
\(689\) | 63.2828 | − | 23.0330i | 2.41088 | − | 0.877489i | ||||
\(690\) | −4.52094 | + | 3.79352i | −0.172109 | + | 0.144417i | ||||
\(691\) | −11.8748 | − | 20.5678i | −0.451739 | − | 0.782434i | 0.546755 | − | 0.837292i | \(-0.315863\pi\) |
−0.998494 | + | 0.0548580i | \(0.982529\pi\) | |||||||
\(692\) | 6.82635 | − | 11.8236i | 0.259499 | − | 0.449465i | ||||
\(693\) | −0.275845 | − | 1.56439i | −0.0104785 | − | 0.0594264i | ||||
\(694\) | 2.04963 | + | 11.6240i | 0.0778029 | + | 0.441242i | ||||
\(695\) | −11.6138 | + | 20.1157i | −0.440537 | + | 0.763032i | ||||
\(696\) | 2.53209 | + | 4.38571i | 0.0959786 | + | 0.166240i | ||||
\(697\) | −2.57398 | + | 2.15982i | −0.0974964 | + | 0.0818092i | ||||
\(698\) | −26.1411 | + | 9.51460i | −0.989457 | + | 0.360133i | ||||
\(699\) | −14.5817 | − | 5.30731i | −0.551531 | − | 0.200741i | ||||
\(700\) | 3.50387 | + | 2.94010i | 0.132434 | + | 0.111125i | ||||
\(701\) | 5.60307 | − | 31.7766i | 0.211625 | − | 1.20019i | −0.675043 | − | 0.737779i | \(-0.735875\pi\) |
0.886668 | − | 0.462407i | \(-0.153014\pi\) | |||||||
\(702\) | −6.51754 | −0.245989 | ||||||||
\(703\) | −21.6511 | + | 25.4204i | −0.816587 | + | 0.958747i | ||||
\(704\) | −0.347296 | −0.0130892 | ||||||||
\(705\) | −1.01114 | + | 5.73448i | −0.0380819 | + | 0.215973i | ||||
\(706\) | 12.8229 | + | 10.7597i | 0.482598 | + | 0.404948i | ||||
\(707\) | −53.5262 | − | 19.4819i | −2.01306 | − | 0.732694i | ||||
\(708\) | 1.71301 | − | 0.623485i | 0.0643789 | − | 0.0234320i | ||||
\(709\) | −37.0428 | + | 31.0826i | −1.39117 | + | 1.16733i | −0.426310 | + | 0.904577i | \(0.640187\pi\) |
−0.964863 | + | 0.262755i | \(0.915369\pi\) | |||||||
\(710\) | 5.87939 | + | 10.1834i | 0.220649 | + | 0.382176i | ||||
\(711\) | −4.36959 | + | 7.56834i | −0.163872 | + | 0.283835i | ||||
\(712\) | 1.88191 | + | 10.6729i | 0.0705276 | + | 0.399982i | ||||
\(713\) | −2.42839 | − | 13.7721i | −0.0909438 | − | 0.515768i | ||||
\(714\) | 16.1557 | − | 27.9825i | 0.604612 | − | 1.04722i | ||||
\(715\) | 1.13176 | + | 1.96026i | 0.0423254 | + | 0.0733097i | ||||
\(716\) | −16.3858 | + | 13.7493i | −0.612365 | + | 0.513836i | ||||
\(717\) | 4.07873 | − | 1.48453i | 0.152323 | − | 0.0554410i | ||||
\(718\) | −3.51754 | − | 1.28028i | −0.131273 | − | 0.0477796i | ||||
\(719\) | −3.04189 | − | 2.55245i | −0.113443 | − | 0.0951902i | 0.584301 | − | 0.811537i | \(-0.301369\pi\) |
−0.697745 | + | 0.716346i | \(0.745813\pi\) | |||||||
\(720\) | −0.173648 | + | 0.984808i | −0.00647149 | + | 0.0367016i | ||||
\(721\) | −5.93550 | −0.221049 | ||||||||
\(722\) | 18.9979 | + | 0.279737i | 0.707030 | + | 0.0104107i | ||||
\(723\) | −11.7392 | −0.436584 | ||||||||
\(724\) | 1.44057 | − | 8.16988i | 0.0535384 | − | 0.303631i | ||||
\(725\) | −3.87939 | − | 3.25519i | −0.144077 | − | 0.120895i | ||||
\(726\) | 10.2233 | + | 3.72097i | 0.379421 | + | 0.138098i | ||||
\(727\) | 22.5817 | − | 8.21907i | 0.837510 | − | 0.304829i | 0.112572 | − | 0.993644i | \(-0.464091\pi\) |
0.724937 | + | 0.688815i | \(0.241869\pi\) | |||||||
\(728\) | 22.8366 | − | 19.1622i | 0.846381 | − | 0.710198i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 3.22668 | − | 5.58878i | 0.119425 | − | 0.206850i | ||||
\(731\) | −8.76827 | − | 49.7273i | −0.324306 | − | 1.83923i | ||||
\(732\) | −2.00000 | − | 11.3426i | −0.0739221 | − | 0.419233i | ||||
\(733\) | −7.91235 | + | 13.7046i | −0.292249 | + | 0.506191i | −0.974341 | − | 0.225076i | \(-0.927737\pi\) |
0.682092 | + | 0.731266i | \(0.261070\pi\) | |||||||
\(734\) | −2.20914 | − | 3.82634i | −0.0815409 | − | 0.141233i | ||||
\(735\) | 10.6643 | − | 8.94842i | 0.393359 | − | 0.330068i | ||||
\(736\) | 5.54576 | − | 2.01849i | 0.204419 | − | 0.0744026i | ||||
\(737\) | 0.199340 | + | 0.0725540i | 0.00734280 | + | 0.00267256i | ||||
\(738\) | −0.364370 | − | 0.305743i | −0.0134127 | − | 0.0112546i | ||||
\(739\) | −6.64068 | + | 37.6612i | −0.244281 | + | 1.38539i | 0.577874 | + | 0.816126i | \(0.303882\pi\) |
−0.822156 | + | 0.569263i | \(0.807229\pi\) | |||||||
\(740\) | −7.66044 | −0.281604 | ||||||||
\(741\) | −18.4209 | + | 21.6278i | −0.676707 | + | 0.794516i | ||||
\(742\) | −47.2618 | −1.73503 | ||||||||
\(743\) | 8.71823 | − | 49.4435i | 0.319841 | − | 1.81391i | −0.223853 | − | 0.974623i | \(-0.571864\pi\) |
0.543694 | − | 0.839284i | \(-0.317025\pi\) | |||||||
\(744\) | −1.81521 | − | 1.52314i | −0.0665487 | − | 0.0558410i | ||||
\(745\) | −11.5544 | − | 4.20545i | −0.423320 | − | 0.154076i | ||||
\(746\) | 0.859318 | − | 0.312766i | 0.0314619 | − | 0.0114512i | ||||
\(747\) | 1.28312 | − | 1.07666i | 0.0469469 | − | 0.0393931i | ||||
\(748\) | −1.22668 | − | 2.12467i | −0.0448519 | − | 0.0776858i | ||||
\(749\) | −37.1789 | + | 64.3958i | −1.35849 | + | 2.35297i | ||||
\(750\) | −0.173648 | − | 0.984808i | −0.00634073 | − | 0.0359601i | ||||
\(751\) | 8.22163 | + | 46.6272i | 0.300012 | + | 1.70145i | 0.646104 | + | 0.763249i | \(0.276397\pi\) |
−0.346092 | + | 0.938200i | \(0.612492\pi\) | |||||||
\(752\) | 2.91147 | − | 5.04282i | 0.106171 | − | 0.183893i | ||||
\(753\) | −2.02435 | − | 3.50627i | −0.0737713 | − | 0.127776i | ||||
\(754\) | −25.2841 | + | 21.2158i | −0.920791 | + | 0.772635i | ||||
\(755\) | −6.63816 | + | 2.41609i | −0.241587 | + | 0.0879306i | ||||
\(756\) | 4.29813 | + | 1.56439i | 0.156322 | + | 0.0568964i | ||||
\(757\) | −7.16772 | − | 6.01443i | −0.260515 | − | 0.218598i | 0.503169 | − | 0.864188i | \(-0.332167\pi\) |
−0.763684 | + | 0.645590i | \(0.776612\pi\) | |||||||
\(758\) | 4.46451 | − | 25.3195i | 0.162158 | − | 0.919645i | ||||
\(759\) | 2.04963 | 0.0743969 | ||||||||
\(760\) | 2.77719 | + | 3.35965i | 0.100739 | + | 0.121867i | ||||
\(761\) | −24.4757 | −0.887242 | −0.443621 | − | 0.896215i | \(-0.646306\pi\) | ||||
−0.443621 | + | 0.896215i | \(0.646306\pi\) | |||||||
\(762\) | −0.378918 | + | 2.14895i | −0.0137268 | + | 0.0778484i | ||||
\(763\) | −5.71276 | − | 4.79358i | −0.206816 | − | 0.173539i | ||||
\(764\) | 12.1702 | + | 4.42961i | 0.440304 | + | 0.160258i | ||||
\(765\) | −6.63816 | + | 2.41609i | −0.240003 | + | 0.0873540i | ||||
\(766\) | −11.9244 | + | 10.0058i | −0.430847 | + | 0.361524i | ||||
\(767\) | 5.94057 | + | 10.2894i | 0.214502 | + | 0.371528i | ||||
\(768\) | 0.500000 | − | 0.866025i | 0.0180422 | − | 0.0312500i | ||||
\(769\) | −1.88784 | − | 10.7065i | −0.0680773 | − | 0.386086i | −0.999741 | − | 0.0227634i | \(-0.992754\pi\) |
0.931664 | − | 0.363322i | \(-0.118358\pi\) | |||||||
\(770\) | −0.275845 | − | 1.56439i | −0.00994075 | − | 0.0563768i | ||||
\(771\) | −7.12836 | + | 12.3467i | −0.256721 | + | 0.444655i | ||||
\(772\) | 6.45336 | + | 11.1776i | 0.232262 | + | 0.402289i | ||||
\(773\) | −17.0344 | + | 14.2935i | −0.612684 | + | 0.514103i | −0.895494 | − | 0.445073i | \(-0.853178\pi\) |
0.282811 | + | 0.959176i | \(0.408733\pi\) | |||||||
\(774\) | 6.71688 | − | 2.44474i | 0.241433 | − | 0.0878745i | ||||
\(775\) | 2.22668 | + | 0.810446i | 0.0799848 | + | 0.0291121i | ||||
\(776\) | −0.815207 | − | 0.684040i | −0.0292642 | − | 0.0245556i | ||||
\(777\) | −6.08441 | + | 34.5064i | −0.218277 | + | 1.23791i | ||||
\(778\) | −6.52704 | −0.234006 | ||||||||
\(779\) | −2.04442 | + | 0.344987i | −0.0732488 | + | 0.0123604i | ||||
\(780\) | −6.51754 | −0.233365 | ||||||||
\(781\) | 0.709141 | − | 4.02174i | 0.0253750 | − | 0.143909i | ||||
\(782\) | 31.9368 | + | 26.7981i | 1.14206 | + | 0.958299i | ||||
\(783\) | −4.75877 | − | 1.73205i | −0.170065 | − | 0.0618984i | ||||
\(784\) | −13.0817 | + | 4.76136i | −0.467204 | + | 0.170048i | ||||
\(785\) | −0.826352 | + | 0.693392i | −0.0294938 | + | 0.0247482i | ||||
\(786\) | 0.950837 | + | 1.64690i | 0.0339152 | + | 0.0587429i | ||||
\(787\) | −10.6578 | + | 18.4598i | −0.379908 | + | 0.658020i | −0.991049 | − | 0.133502i | \(-0.957378\pi\) |
0.611141 | + | 0.791522i | \(0.290711\pi\) | |||||||
\(788\) | −1.99882 | − | 11.3359i | −0.0712049 | − | 0.403823i | ||||
\(789\) | 2.51367 | + | 14.2557i | 0.0894890 | + | 0.507518i | ||||
\(790\) | −4.36959 | + | 7.56834i | −0.155463 | + | 0.269270i | ||||
\(791\) | −11.2882 | − | 19.5517i | −0.401361 | − | 0.695178i | ||||
\(792\) | 0.266044 | − | 0.223238i | 0.00945348 | − | 0.00793241i | ||||
\(793\) | 70.5390 | − | 25.6741i | 2.50491 | − | 0.911714i | ||||
\(794\) | −8.33915 | − | 3.03520i | −0.295945 | − | 0.107715i | ||||
\(795\) | 7.91534 | + | 6.64176i | 0.280728 | + | 0.235559i | ||||
\(796\) | −4.19934 | + | 23.8156i | −0.148842 | + | 0.844123i | ||||
\(797\) | −28.2053 | −0.999084 | −0.499542 | − | 0.866290i | \(-0.666498\pi\) | ||||
−0.499542 | + | 0.866290i | \(0.666498\pi\) | |||||||
\(798\) | 17.3393 | − | 9.84137i | 0.613805 | − | 0.348381i | ||||
\(799\) | 41.1343 | 1.45523 | ||||||||
\(800\) | −0.173648 | + | 0.984808i | −0.00613939 | + | 0.0348182i | ||||
\(801\) | −8.30200 | − | 6.96621i | −0.293337 | − | 0.246139i | ||||
\(802\) | 35.9495 | + | 13.0846i | 1.26942 | + | 0.462032i | ||||
\(803\) | −2.10607 | + | 0.766546i | −0.0743215 | + | 0.0270508i | ||||
\(804\) | −0.467911 | + | 0.392624i | −0.0165020 | + | 0.0138468i | ||||
\(805\) | 13.4971 | + | 23.3776i | 0.475709 | + | 0.823952i | ||||
\(806\) | 7.72193 | − | 13.3748i | 0.271994 | − | 0.471107i | ||||
\(807\) | 0.514853 | + | 2.91987i | 0.0181237 | + | 0.102784i | ||||
\(808\) | −2.16250 | − | 12.2642i | −0.0760766 | − | 0.431452i | ||||
\(809\) | 0.315207 | − | 0.545955i | 0.0110821 | − | 0.0191948i | −0.860431 | − | 0.509567i | \(-0.829806\pi\) |
0.871513 | + | 0.490372i | \(0.163139\pi\) | |||||||
\(810\) | −0.500000 | − | 0.866025i | −0.0175682 | − | 0.0304290i | ||||
\(811\) | −27.4183 | + | 23.0067i | −0.962788 | + | 0.807875i | −0.981404 | − | 0.191952i | \(-0.938518\pi\) |
0.0186163 | + | 0.999827i | \(0.494074\pi\) | |||||||
\(812\) | 21.7665 | − | 7.92236i | 0.763855 | − | 0.278020i | ||||
\(813\) | 26.0847 | + | 9.49406i | 0.914831 | + | 0.332971i | ||||
\(814\) | 2.03802 | + | 1.71010i | 0.0714325 | + | 0.0599390i | ||||
\(815\) | −2.21213 | + | 12.5456i | −0.0774877 | + | 0.439454i | ||||
\(816\) | 7.06418 | 0.247296 | ||||||||
\(817\) | 10.8716 | − | 29.1990i | 0.380351 | − | 1.02154i | ||||
\(818\) | −1.39693 | −0.0488424 | ||||||||
\(819\) | −5.17664 | + | 29.3582i | −0.180886 | + | 1.02586i | ||||
\(820\) | −0.364370 | − | 0.305743i | −0.0127244 | − | 0.0106770i | ||||
\(821\) | −35.9495 | − | 13.0846i | −1.25465 | − | 0.456654i | −0.372678 | − | 0.927961i | \(-0.621560\pi\) |
−0.881970 | + | 0.471306i | \(0.843783\pi\) | |||||||
\(822\) | 1.07873 | − | 0.392624i | 0.0376249 | − | 0.0136943i | ||||
\(823\) | −8.04260 | + | 6.74855i | −0.280348 | + | 0.235240i | −0.772109 | − | 0.635491i | \(-0.780798\pi\) |
0.491761 | + | 0.870730i | \(0.336353\pi\) | |||||||
\(824\) | −0.648833 | − | 1.12381i | −0.0226032 | − | 0.0391499i | ||||
\(825\) | −0.173648 | + | 0.300767i | −0.00604565 | + | 0.0104714i | ||||
\(826\) | −1.44790 | − | 8.21145i | −0.0503789 | − | 0.285713i | ||||
\(827\) | 0.543948 | + | 3.08489i | 0.0189149 | + | 0.107272i | 0.992804 | − | 0.119754i | \(-0.0382107\pi\) |
−0.973889 | + | 0.227026i | \(0.927100\pi\) | |||||||
\(828\) | −2.95084 | + | 5.11100i | −0.102549 | + | 0.177620i | ||||
\(829\) | 7.63816 | + | 13.2297i | 0.265284 | + | 0.459486i | 0.967638 | − | 0.252342i | \(-0.0812009\pi\) |
−0.702354 | + | 0.711828i | \(0.747868\pi\) | |||||||
\(830\) | 1.28312 | − | 1.07666i | 0.0445377 | − | 0.0373716i | ||||
\(831\) | 2.12449 | − | 0.773249i | 0.0736976 | − | 0.0268237i | ||||
\(832\) | 6.12449 | + | 2.22913i | 0.212328 | + | 0.0772812i | ||||
\(833\) | −75.3346 | − | 63.2132i | −2.61019 | − | 2.19021i | ||||
\(834\) | −4.03343 | + | 22.8747i | −0.139666 | + | 0.792087i | ||||
\(835\) | 0.179740 | 0.00622016 | ||||||||
\(836\) | 0.0111444 | − | 1.51379i | 0.000385436 | − | 0.0523555i | ||||
\(837\) | 2.36959 | 0.0819048 | ||||||||
\(838\) | 2.10741 | − | 11.9517i | 0.0727993 | − | 0.412865i | ||||
\(839\) | −20.0678 | − | 16.8389i | −0.692817 | − | 0.581343i | 0.226903 | − | 0.973917i | \(-0.427140\pi\) |
−0.919720 | + | 0.392575i | \(0.871584\pi\) | |||||||
\(840\) | 4.29813 | + | 1.56439i | 0.148300 | + | 0.0539767i | ||||
\(841\) | 3.15183 | − | 1.14717i | 0.108684 | − | 0.0395576i | ||||
\(842\) | 0.0523182 | − | 0.0439002i | 0.00180300 | − | 0.00151290i | ||||
\(843\) | −8.14677 | − | 14.1106i | −0.280590 | − | 0.485996i | ||||
\(844\) | 2.84864 | − | 4.93399i | 0.0980543 | − | 0.169835i | ||||
\(845\) | −5.11886 | − | 29.0305i | −0.176094 | − | 0.998679i | ||||
\(846\) | 1.01114 | + | 5.73448i | 0.0347639 | + | 0.197156i | ||||
\(847\) | 24.8810 | − | 43.0952i | 0.854922 | − | 1.48077i | ||||
\(848\) | −5.16637 | − | 8.94842i | −0.177414 | − | 0.307290i | ||||
\(849\) | −0.445622 | + | 0.373922i | −0.0152937 | + | 0.0128330i | ||||
\(850\) | −6.63816 | + | 2.41609i | −0.227687 | + | 0.0828712i | ||||
\(851\) | −42.4830 | − | 15.4625i | −1.45630 | − | 0.530049i | ||||
\(852\) | 9.00774 | + | 7.55839i | 0.308600 | + | 0.258946i | ||||
\(853\) | 9.75268 | − | 55.3102i | 0.333925 | − | 1.89378i | −0.103668 | − | 0.994612i | \(-0.533058\pi\) |
0.437594 | − | 0.899173i | \(-0.355831\pi\) | |||||||
\(854\) | −52.6810 | −1.80271 | ||||||||
\(855\) | −4.28699 | − | 0.788496i | −0.146612 | − | 0.0269660i | ||||
\(856\) | −16.2567 | −0.555643 | ||||||||
\(857\) | 2.50206 | − | 14.1899i | 0.0854687 | − | 0.484717i | −0.911786 | − | 0.410666i | \(-0.865296\pi\) |
0.997254 | − | 0.0740510i | \(-0.0235927\pi\) | |||||||
\(858\) | 1.73396 | + | 1.45496i | 0.0591963 | + | 0.0496716i | ||||
\(859\) | −27.1758 | − | 9.89117i | −0.927225 | − | 0.337482i | −0.166116 | − | 0.986106i | \(-0.553123\pi\) |
−0.761109 | + | 0.648624i | \(0.775345\pi\) | |||||||
\(860\) | 6.71688 | − | 2.44474i | 0.229044 | − | 0.0833651i | ||||
\(861\) | −1.66662 | + | 1.39846i | −0.0567983 | + | 0.0476595i | ||||
\(862\) | −1.01455 | − | 1.75725i | −0.0345556 | − | 0.0598521i | ||||
\(863\) | 0.649300 | − | 1.12462i | 0.0221024 | − | 0.0382825i | −0.854763 | − | 0.519019i | \(-0.826297\pi\) |
0.876865 | + | 0.480737i | \(0.159631\pi\) | |||||||
\(864\) | 0.173648 | + | 0.984808i | 0.00590763 | + | 0.0335038i | ||||
\(865\) | 2.37077 | + | 13.4453i | 0.0806085 | + | 0.457154i | ||||
\(866\) | −5.63816 | + | 9.76557i | −0.191592 | + | 0.331848i | ||||
\(867\) | 16.4513 | + | 28.4945i | 0.558716 | + | 0.967724i | ||||
\(868\) | −8.30272 | + | 6.96681i | −0.281813 | + | 0.236469i | ||||
\(869\) | 2.85204 | − | 1.03806i | 0.0967490 | − | 0.0352137i | ||||
\(870\) | −4.75877 | − | 1.73205i | −0.161337 | − | 0.0587220i | ||||
\(871\) | −3.04963 | − | 2.55894i | −0.103333 | − | 0.0867065i | ||||
\(872\) | 0.283119 | − | 1.60565i | 0.00958761 | − | 0.0543740i | ||||
\(873\) | 1.06418 | 0.0360170 | ||||||||
\(874\) | 8.62020 | + | 24.2375i | 0.291583 | + | 0.819846i | ||||
\(875\) | −4.57398 | −0.154629 | ||||||||
\(876\) | 1.12061 | − | 6.35532i | 0.0378621 | − | 0.214726i | ||||
\(877\) | 33.3423 | + | 27.9775i | 1.12589 | + | 0.944733i | 0.998887 | − | 0.0471689i | \(-0.0150199\pi\) |
0.127003 | + | 0.991902i | \(0.459464\pi\) | |||||||
\(878\) | 8.82295 | + | 3.21129i | 0.297760 | + | 0.108376i | ||||
\(879\) | 20.9167 | − | 7.61305i | 0.705502 | − | 0.256782i | ||||
\(880\) | 0.266044 | − | 0.223238i | 0.00896836 | − | 0.00752534i | ||||
\(881\) | 15.6488 | + | 27.1046i | 0.527223 | + | 0.913176i | 0.999497 | + | 0.0317245i | \(0.0100999\pi\) |
−0.472274 | + | 0.881452i | \(0.656567\pi\) | |||||||
\(882\) | 6.96064 | − | 12.0562i | 0.234377 | − | 0.405953i | ||||
\(883\) | 3.31820 | + | 18.8185i | 0.111666 | + | 0.633291i | 0.988347 | + | 0.152218i | \(0.0486417\pi\) |
−0.876681 | + | 0.481073i | \(0.840247\pi\) | |||||||
\(884\) | 7.99495 | + | 45.3416i | 0.268899 | + | 1.52500i | ||||
\(885\) | −0.911474 | + | 1.57872i | −0.0306389 | + | 0.0530681i | ||||
\(886\) | −2.74422 | − | 4.75313i | −0.0921940 | − | 0.159685i | ||||
\(887\) | 6.88397 | − | 5.77634i | 0.231141 | − | 0.193950i | −0.519860 | − | 0.854252i | \(-0.674016\pi\) |
0.751001 | + | 0.660301i | \(0.229571\pi\) | |||||||
\(888\) | −7.19846 | + | 2.62003i | −0.241565 | + | 0.0879223i | ||||
\(889\) | 9.37897 | + | 3.41367i | 0.314561 | + | 0.114491i | ||||
\(890\) | −8.30200 | − | 6.96621i | −0.278284 | − | 0.233508i | ||||
\(891\) | −0.0603074 | + | 0.342020i | −0.00202037 | + | 0.0114581i | ||||
\(892\) | −23.5553 | −0.788690 | ||||||||
\(893\) | 21.8871 | + | 12.8523i | 0.732425 | + | 0.430086i | ||||
\(894\) | −12.2959 | −0.411237 | ||||||||
\(895\) | 3.71436 | − | 21.0652i | 0.124157 | − | 0.704130i | ||||
\(896\) | −3.50387 | − | 2.94010i | −0.117056 | − | 0.0982217i | ||||
\(897\) | −36.1447 | − | 13.1556i | −1.20684 | − | 0.439253i | ||||
\(898\) | −17.4820 | + | 6.36295i | −0.583384 | + | 0.212334i | ||||
\(899\) | 9.19253 | − | 7.71345i | 0.306588 | − | 0.257258i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | 36.4962 | − | 63.2132i | 1.21586 | − | 2.10594i | ||||
\(902\) | 0.0286853 | + | 0.162683i | 0.000955117 | + | 0.00541674i | ||||
\(903\) | −5.67736 | − | 32.1979i | −0.188931 | − | 1.07148i | ||||
\(904\) | 2.46791 | − | 4.27455i | 0.0820815 | − | 0.142169i | ||||
\(905\) | 4.14796 | + | 7.18447i | 0.137883 | + | 0.238820i | ||||
\(906\) | −5.41147 | + | 4.54077i | −0.179784 | + | 0.150857i | ||||
\(907\) | −43.9540 | + | 15.9979i | −1.45947 | + | 0.531203i | −0.945219 | − | 0.326438i | \(-0.894152\pi\) |
−0.514250 | + | 0.857641i | \(0.671929\pi\) | |||||||
\(908\) | −23.4466 | − | 8.53385i | −0.778101 | − | 0.283206i | ||||
\(909\) | 9.53983 | + | 8.00487i | 0.316416 | + | 0.265505i | ||||
\(910\) | −5.17664 | + | 29.3582i | −0.171604 | + | 0.973215i | ||||
\(911\) | −22.8776 | −0.757970 | −0.378985 | − | 0.925403i | \(-0.623727\pi\) | ||||
−0.378985 | + | 0.925403i | \(0.623727\pi\) | |||||||
\(912\) | 3.75877 | + | 2.20718i | 0.124465 | + | 0.0730870i | ||||
\(913\) | −0.581719 | −0.0192521 | ||||||||
\(914\) | −6.05913 | + | 34.3630i | −0.200418 | + | 1.13663i | ||||
\(915\) | 8.82295 | + | 7.40333i | 0.291678 | + | 0.244747i | ||||
\(916\) | −3.85204 | − | 1.40203i | −0.127275 | − | 0.0463244i | ||||
\(917\) | 8.17365 | − | 2.97496i | 0.269918 | − | 0.0982420i | ||||
\(918\) | −5.41147 | + | 4.54077i | −0.178605 | + | 0.149868i | ||||
\(919\) | −12.8949 | − | 22.3346i | −0.425362 | − | 0.736749i | 0.571092 | − | 0.820886i | \(-0.306520\pi\) |
−0.996454 | + | 0.0841369i | \(0.973187\pi\) | |||||||
\(920\) | −2.95084 | + | 5.11100i | −0.0972862 | + | 0.168505i | ||||
\(921\) | 5.56893 | + | 31.5829i | 0.183502 | + | 1.04069i | ||||
\(922\) | −5.80747 | − | 32.9358i | −0.191259 | − | 1.08468i | ||||
\(923\) | −38.3191 | + | 66.3707i | −1.26129 | + | 2.18462i | ||||
\(924\) | −0.794263 | − | 1.37570i | −0.0261293 | − | 0.0452573i | ||||
\(925\) | 5.86824 | − | 4.92404i | 0.192947 | − | 0.161901i | ||||
\(926\) | −6.61721 | + | 2.40847i | −0.217455 | + | 0.0791472i | ||||
\(927\) | 1.21941 | + | 0.443828i | 0.0400506 | + | 0.0145772i | ||||
\(928\) | 3.87939 | + | 3.25519i | 0.127347 | + | 0.106857i | ||||
\(929\) | −9.42468 | + | 53.4500i | −0.309214 | + | 1.75364i | 0.293762 | + | 0.955878i | \(0.405093\pi\) |
−0.602976 | + | 0.797759i | \(0.706019\pi\) | |||||||
\(930\) | 2.36959 | 0.0777018 | ||||||||
\(931\) | −20.3339 | − | 57.1731i | −0.666418 | − | 1.87377i | ||||
\(932\) | −15.5175 | −0.508294 | ||||||||
\(933\) | 3.46017 | − | 19.6236i | 0.113281 | − | 0.642448i | ||||
\(934\) | −20.5476 | − | 17.2415i | −0.672337 | − | 0.564158i | ||||
\(935\) | 2.30541 | + | 0.839100i | 0.0753949 | + | 0.0274415i | ||||
\(936\) | −6.12449 | + | 2.22913i | −0.200185 | + | 0.0728614i | ||||
\(937\) | −26.4570 | + | 22.2000i | −0.864312 | + | 0.725244i | −0.962893 | − | 0.269885i | \(-0.913014\pi\) |
0.0985805 | + | 0.995129i | \(0.468570\pi\) | |||||||
\(938\) | 1.39693 | + | 2.41955i | 0.0456113 | + | 0.0790010i | ||||
\(939\) | 14.0574 | − | 24.3481i | 0.458745 | − | 0.794570i | ||||
\(940\) | 1.01114 | + | 5.73448i | 0.0329799 | + | 0.187038i | ||||
\(941\) | −2.51754 | − | 14.2777i | −0.0820695 | − | 0.465439i | −0.997951 | − | 0.0639895i | \(-0.979618\pi\) |
0.915881 | − | 0.401450i | \(-0.131494\pi\) | |||||||
\(942\) | −0.539363 | + | 0.934204i | −0.0175734 | + | 0.0304380i | ||||
\(943\) | −1.40357 | − | 2.43106i | −0.0457066 | − | 0.0791661i | ||||
\(944\) | 1.39646 | − | 1.17177i | 0.0454509 | − | 0.0381378i | ||||
\(945\) | −4.29813 | + | 1.56439i | −0.139818 | + | 0.0508897i | ||||
\(946\) | −2.33275 | − | 0.849051i | −0.0758442 | − | 0.0276050i | ||||
\(947\) | −20.0196 | − | 16.7984i | −0.650550 | − | 0.545876i | 0.256688 | − | 0.966494i | \(-0.417369\pi\) |
−0.907238 | + | 0.420618i | \(0.861813\pi\) | |||||||
\(948\) | −1.51754 | + | 8.60640i | −0.0492874 | + | 0.279523i | ||||
\(949\) | 42.0601 | 1.36533 | ||||||||
\(950\) | −4.28699 | − | 0.788496i | −0.139088 | − | 0.0255822i | ||||
\(951\) | 11.1310 | 0.360949 | ||||||||
\(952\) | 5.61081 | − | 31.8205i | 0.181848 | − | 1.03131i | ||||
\(953\) | 16.1179 | + | 13.5245i | 0.522111 | + | 0.438103i | 0.865367 | − | 0.501139i | \(-0.167085\pi\) |
−0.343256 | + | 0.939242i | \(0.611530\pi\) | |||||||
\(954\) | 9.70961 | + | 3.53401i | 0.314360 | + | 0.114418i | ||||
\(955\) | −12.1702 | + | 4.42961i | −0.393820 | + | 0.143339i | ||||
\(956\) | 3.32501 | − | 2.79001i | 0.107538 | − | 0.0902355i | ||||
\(957\) | 0.879385 | + | 1.52314i | 0.0284265 | + | 0.0492361i | ||||
\(958\) | −9.00000 | + | 15.5885i | −0.290777 | + | 0.503640i | ||||
\(959\) | −0.911779 | − | 5.17095i | −0.0294429 | − | 0.166979i | ||||
\(960\) | 0.173648 | + | 0.984808i | 0.00560447 | + | 0.0317845i | ||||
\(961\) | 12.6925 | − | 21.9841i | 0.409437 | − | 0.709165i | ||||
\(962\) | −24.9636 | − | 43.2383i | −0.804860 | − | 1.39406i | ||||
\(963\) | 12.4534 | − | 10.4496i | 0.401304 | − | 0.336734i | ||||
\(964\) | −11.0312 | + | 4.01503i | −0.355291 | + | 0.129315i | ||||
\(965\) | −12.1284 | − | 4.41436i | −0.390426 | − | 0.142103i | ||||
\(966\) | 20.6787 | + | 17.3515i | 0.665326 | + | 0.558275i | ||||
\(967\) | −5.48845 | + | 31.1265i | −0.176496 | + | 1.00096i | 0.759906 | + | 0.650033i | \(0.225245\pi\) |
−0.936402 | + | 0.350928i | \(0.885866\pi\) | |||||||
\(968\) | 10.8794 | 0.349677 | ||||||||
\(969\) | −0.226682 | + | 30.7912i | −0.00728206 | + | 0.989156i | ||||
\(970\) | 1.06418 | 0.0341687 | ||||||||
\(971\) | 0.0462263 | − | 0.262162i | 0.00148347 | − | 0.00841319i | −0.984057 | − | 0.177853i | \(-0.943085\pi\) |
0.985541 | + | 0.169440i | \(0.0541959\pi\) | |||||||
\(972\) | −0.766044 | − | 0.642788i | −0.0245709 | − | 0.0206174i | ||||
\(973\) | 99.8354 | + | 36.3371i | 3.20058 | + | 1.16491i | ||||
\(974\) | −11.9877 | + | 4.36316i | −0.384110 | + | 0.139805i | ||||
\(975\) | 4.99273 | − | 4.18939i | 0.159895 | − | 0.134168i | ||||
\(976\) | −5.75877 | − | 9.97448i | −0.184334 | − | 0.319275i | ||||
\(977\) | −21.8161 | + | 37.7867i | −0.697960 | + | 1.20890i | 0.271212 | + | 0.962520i | \(0.412575\pi\) |
−0.969173 | + | 0.246383i | \(0.920758\pi\) | |||||||
\(978\) | 2.21213 | + | 12.5456i | 0.0707362 | + | 0.401165i | ||||
\(979\) | 0.653581 | + | 3.70664i | 0.0208885 | + | 0.118465i | ||||
\(980\) | 6.96064 | − | 12.0562i | 0.222349 | − | 0.385120i | ||||
\(981\) | 0.815207 | + | 1.41198i | 0.0260276 | + | 0.0450811i | ||||
\(982\) | 16.9283 | − | 14.2045i | 0.540204 | − | 0.453285i | ||||
\(983\) | −28.5808 | + | 10.4026i | −0.911587 | + | 0.331791i | −0.754886 | − | 0.655855i | \(-0.772308\pi\) |
−0.156701 | + | 0.987646i | \(0.550086\pi\) | |||||||
\(984\) | −0.446967 | − | 0.162683i | −0.0142488 | − | 0.00518613i | ||||
\(985\) | 8.81773 | + | 7.39896i | 0.280956 | + | 0.235750i | ||||
\(986\) | −6.21213 | + | 35.2308i | −0.197835 | + | 1.12198i | ||||
\(987\) | 26.6340 | 0.847771 | ||||||||
\(988\) | −9.91282 | + | 26.6238i | −0.315369 | + | 0.847015i | ||||
\(989\) | 42.1849 | 1.34140 | ||||||||
\(990\) | −0.0603074 | + | 0.342020i | −0.00191669 | + | 0.0108701i | ||||
\(991\) | −8.15207 | − | 6.84040i | −0.258959 | − | 0.217293i | 0.504060 | − | 0.863669i | \(-0.331839\pi\) |
−0.763019 | + | 0.646376i | \(0.776284\pi\) | |||||||
\(992\) | −2.22668 | − | 0.810446i | −0.0706972 | − | 0.0257317i | ||||
\(993\) | 15.1211 | − | 5.50362i | 0.479853 | − | 0.174652i | ||||
\(994\) | 41.2012 | − | 34.5719i | 1.30682 | − | 1.09655i | ||||
\(995\) | −12.0915 | − | 20.9431i | −0.383327 | − | 0.663942i | ||||
\(996\) | 0.837496 | − | 1.45059i | 0.0265371 | − | 0.0459636i | ||||
\(997\) | 3.54741 | + | 20.1184i | 0.112348 | + | 0.637155i | 0.988029 | + | 0.154266i | \(0.0493013\pi\) |
−0.875682 | + | 0.482889i | \(0.839588\pi\) | |||||||
\(998\) | −6.71317 | − | 38.0723i | −0.212502 | − | 1.20516i | ||||
\(999\) | 3.83022 | − | 6.63414i | 0.121183 | − | 0.209895i |
(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 | 570.2.u.a.511.1 | ✓ | 6 | |
19.9 | even | 9 | inner | 570.2.u.a.541.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.a.511.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
570.2.u.a.541.1 | yes | 6 | 19.9 | even | 9 | inner |