Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [207,2,Mod(5,207)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(207, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("207.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 207 = 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 207.o (of order \(66\), degree \(20\), 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: | \(1.65290332184\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 113.2 | ||
Character | \(\chi\) | \(=\) | 207.113 |
Dual form | 207.2.o.a.11.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/207\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{13}{22}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.49814 | − | 0.119001i | −1.76645 | − | 0.0841465i | −0.861003 | − | 0.508600i | \(-0.830163\pi\) |
−0.905450 | + | 0.424454i | \(0.860466\pi\) | |||||||
\(3\) | −0.0685285 | + | 1.73069i | −0.0395650 | + | 0.999217i | ||||
\(4\) | 4.23560 | + | 0.404451i | 2.11780 | + | 0.202226i | ||||
\(5\) | 0.378651 | − | 0.361043i | 0.169338 | − | 0.161463i | −0.600671 | − | 0.799496i | \(-0.705100\pi\) |
0.770009 | + | 0.638033i | \(0.220252\pi\) | |||||||
\(6\) | 0.377149 | − | 4.31536i | 0.153970 | − | 1.76174i | ||||
\(7\) | 0.824181 | − | 4.27626i | 0.311511 | − | 1.61627i | −0.402007 | − | 0.915637i | \(-0.631687\pi\) |
0.713518 | − | 0.700637i | \(-0.247101\pi\) | |||||||
\(8\) | −5.58197 | − | 0.802566i | −1.97352 | − | 0.283750i | ||||
\(9\) | −2.99061 | − | 0.237204i | −0.996869 | − | 0.0790680i | ||||
\(10\) | −0.988888 | + | 0.856876i | −0.312714 | + | 0.270968i | ||||
\(11\) | 0.529942 | + | 0.273204i | 0.159784 | + | 0.0823742i | 0.536264 | − | 0.844051i | \(-0.319835\pi\) |
−0.376480 | + | 0.926425i | \(0.622866\pi\) | |||||||
\(12\) | −0.990241 | + | 7.30282i | −0.285858 | + | 2.10814i | ||||
\(13\) | 2.87917 | − | 0.554914i | 0.798538 | − | 0.153905i | 0.226369 | − | 0.974042i | \(-0.427314\pi\) |
0.572168 | + | 0.820136i | \(0.306102\pi\) | |||||||
\(14\) | −2.56780 | + | 10.5846i | −0.686273 | + | 2.82886i | ||||
\(15\) | 0.598907 | + | 0.680071i | 0.154637 | + | 0.175594i | ||||
\(16\) | 5.49309 | + | 1.05871i | 1.37327 | + | 0.264676i | ||||
\(17\) | 2.39314 | − | 5.24024i | 0.580421 | − | 1.27094i | −0.360639 | − | 0.932705i | \(-0.617441\pi\) |
0.941060 | − | 0.338239i | \(-0.109831\pi\) | |||||||
\(18\) | 7.44273 | + | 0.948455i | 1.75427 | + | 0.223553i | ||||
\(19\) | −0.361856 | + | 0.165254i | −0.0830156 | + | 0.0379119i | −0.456490 | − | 0.889729i | \(-0.650894\pi\) |
0.373475 | + | 0.927640i | \(0.378166\pi\) | |||||||
\(20\) | 1.74984 | − | 1.37609i | 0.391276 | − | 0.307703i | ||||
\(21\) | 7.34442 | + | 1.71945i | 1.60268 | + | 0.375215i | ||||
\(22\) | −1.29136 | − | 0.745567i | −0.275319 | − | 0.158955i | ||||
\(23\) | 4.58390 | − | 1.40990i | 0.955810 | − | 0.293985i | ||||
\(24\) | 1.77152 | − | 9.60569i | 0.361610 | − | 1.96075i | ||||
\(25\) | −0.224885 | + | 4.72092i | −0.0449770 | + | 0.944184i | ||||
\(26\) | −7.25860 | + | 1.04363i | −1.42353 | + | 0.204673i | ||||
\(27\) | 0.615470 | − | 5.15957i | 0.118447 | − | 0.992960i | ||||
\(28\) | 5.22044 | − | 17.7792i | 0.986571 | − | 3.35995i | ||||
\(29\) | −0.232137 | − | 2.43105i | −0.0431068 | − | 0.451435i | −0.991098 | − | 0.133137i | \(-0.957495\pi\) |
0.947991 | − | 0.318298i | \(-0.103111\pi\) | |||||||
\(30\) | −1.41522 | − | 1.77018i | −0.258383 | − | 0.323190i | ||||
\(31\) | 5.66225 | + | 4.45284i | 1.01697 | + | 0.799753i | 0.979886 | − | 0.199559i | \(-0.0639509\pi\) |
0.0370834 | + | 0.999312i | \(0.488193\pi\) | |||||||
\(32\) | −2.63571 | − | 0.639416i | −0.465932 | − | 0.113034i | ||||
\(33\) | −0.509149 | + | 0.898446i | −0.0886315 | + | 0.156399i | ||||
\(34\) | −6.60199 | + | 12.8061i | −1.13223 | + | 2.19622i | ||||
\(35\) | −1.23184 | − | 1.91677i | −0.208218 | − | 0.323994i | ||||
\(36\) | −12.5711 | − | 2.21426i | −2.09518 | − | 0.369043i | ||||
\(37\) | 0.882882 | + | 3.00682i | 0.145145 | + | 0.494318i | 0.999686 | − | 0.0250661i | \(-0.00797961\pi\) |
−0.854541 | + | 0.519384i | \(0.826161\pi\) | |||||||
\(38\) | 0.923634 | − | 0.369767i | 0.149833 | − | 0.0599842i | ||||
\(39\) | 0.763082 | + | 5.02099i | 0.122191 | + | 0.804002i | ||||
\(40\) | −2.40338 | + | 1.71144i | −0.380008 | + | 0.270602i | ||||
\(41\) | 5.98089 | + | 6.27258i | 0.934058 | + | 0.979612i | 0.999834 | − | 0.0182221i | \(-0.00580060\pi\) |
−0.0657755 | + | 0.997834i | \(0.520952\pi\) | |||||||
\(42\) | −18.1428 | − | 5.16943i | −2.79949 | − | 0.797660i | ||||
\(43\) | −5.40710 | − | 6.87569i | −0.824575 | − | 1.04853i | −0.997970 | − | 0.0636802i | \(-0.979716\pi\) |
0.173395 | − | 0.984852i | \(-0.444526\pi\) | |||||||
\(44\) | 2.13413 | + | 1.37152i | 0.321732 | + | 0.206765i | ||||
\(45\) | −1.21804 | + | 0.989920i | −0.181574 | + | 0.147569i | ||||
\(46\) | −11.6190 | + | 2.97664i | −1.71313 | + | 0.438882i | ||||
\(47\) | −8.38011 | + | 4.83826i | −1.22236 | + | 0.705733i | −0.965422 | − | 0.260694i | \(-0.916049\pi\) |
−0.256943 | + | 0.966426i | \(0.582715\pi\) | |||||||
\(48\) | −2.20873 | + | 9.43431i | −0.318803 | + | 1.36172i | ||||
\(49\) | −11.1085 | − | 4.44718i | −1.58693 | − | 0.635312i | ||||
\(50\) | 1.12359 | − | 11.7668i | 0.158900 | − | 1.66407i | ||||
\(51\) | 8.90526 | + | 4.50090i | 1.24699 | + | 0.630252i | ||||
\(52\) | 12.4195 | − | 1.18591i | 1.72227 | − | 0.164457i | ||||
\(53\) | 5.79633 | − | 6.68932i | 0.796187 | − | 0.918848i | −0.201979 | − | 0.979390i | \(-0.564737\pi\) |
0.998166 | + | 0.0605415i | \(0.0192828\pi\) | |||||||
\(54\) | −2.15153 | + | 12.8161i | −0.292785 | + | 1.74405i | ||||
\(55\) | 0.299302 | − | 0.0878829i | 0.0403578 | − | 0.0118501i | ||||
\(56\) | −8.03254 | + | 23.2085i | −1.07339 | + | 3.10136i | ||||
\(57\) | −0.261207 | − | 0.637588i | −0.0345977 | − | 0.0844505i | ||||
\(58\) | 0.290614 | + | 6.10073i | 0.0381594 | + | 0.801065i | ||||
\(59\) | −1.04029 | − | 5.39755i | −0.135435 | − | 0.702701i | −0.984634 | − | 0.174629i | \(-0.944127\pi\) |
0.849200 | − | 0.528072i | \(-0.177085\pi\) | |||||||
\(60\) | 2.26168 | + | 3.12274i | 0.291981 | + | 0.403144i | ||||
\(61\) | −0.724578 | − | 1.80991i | −0.0927727 | − | 0.231735i | 0.874723 | − | 0.484624i | \(-0.161044\pi\) |
−0.967495 | + | 0.252889i | \(0.918619\pi\) | |||||||
\(62\) | −13.6152 | − | 11.7976i | −1.72913 | − | 1.49830i | ||||
\(63\) | −3.47915 | + | 12.5931i | −0.438331 | + | 1.58658i | ||||
\(64\) | −4.22688 | − | 1.24112i | −0.528360 | − | 0.155140i | ||||
\(65\) | 0.889852 | − | 1.24962i | 0.110373 | − | 0.154997i | ||||
\(66\) | 1.37884 | − | 2.18386i | 0.169724 | − | 0.268814i | ||||
\(67\) | −6.35262 | − | 12.3224i | −0.776096 | − | 1.50542i | −0.860763 | − | 0.509007i | \(-0.830013\pi\) |
0.0846668 | − | 0.996409i | \(-0.473017\pi\) | |||||||
\(68\) | 12.2558 | − | 21.2277i | 1.48623 | − | 2.57423i | ||||
\(69\) | 2.12598 | + | 8.02996i | 0.255938 | + | 0.966693i | ||||
\(70\) | 2.84920 | + | 4.93496i | 0.340545 | + | 0.589840i | ||||
\(71\) | −2.85411 | + | 4.44108i | −0.338720 | + | 0.527059i | −0.968272 | − | 0.249900i | \(-0.919602\pi\) |
0.629551 | + | 0.776959i | \(0.283239\pi\) | |||||||
\(72\) | 16.5031 | + | 3.72423i | 1.94491 | + | 0.438904i | ||||
\(73\) | 4.48681 | + | 9.82474i | 0.525141 | + | 1.14990i | 0.967456 | + | 0.253039i | \(0.0814301\pi\) |
−0.442315 | + | 0.896860i | \(0.645843\pi\) | |||||||
\(74\) | −1.84775 | − | 7.61652i | −0.214796 | − | 0.885403i | ||||
\(75\) | −8.15506 | − | 0.712725i | −0.941665 | − | 0.0822984i | ||||
\(76\) | −1.59952 | + | 0.553598i | −0.183477 | + | 0.0635021i | ||||
\(77\) | 1.60506 | − | 2.04100i | 0.182914 | − | 0.232594i | ||||
\(78\) | −1.30878 | − | 12.6339i | −0.148190 | − | 1.43051i | ||||
\(79\) | −7.16142 | − | 2.47859i | −0.805723 | − | 0.278864i | −0.107003 | − | 0.994259i | \(-0.534125\pi\) |
−0.698720 | + | 0.715395i | \(0.746247\pi\) | |||||||
\(80\) | 2.46220 | − | 1.58236i | 0.275282 | − | 0.176913i | ||||
\(81\) | 8.88747 | + | 1.41877i | 0.987497 | + | 0.157641i | ||||
\(82\) | −14.1947 | − | 16.3815i | −1.56754 | − | 1.80904i | ||||
\(83\) | −1.29567 | − | 1.23542i | −0.142218 | − | 0.135605i | 0.615631 | − | 0.788035i | \(-0.288901\pi\) |
−0.757849 | + | 0.652430i | \(0.773750\pi\) | |||||||
\(84\) | 30.4126 | + | 10.2534i | 3.31829 | + | 1.11873i | ||||
\(85\) | −0.985788 | − | 2.84825i | −0.106924 | − | 0.308936i | ||||
\(86\) | 12.6895 | + | 17.8199i | 1.36834 | + | 1.92157i | ||||
\(87\) | 4.22331 | − | 0.235162i | 0.452787 | − | 0.0252120i | ||||
\(88\) | −2.73886 | − | 1.95033i | −0.291963 | − | 0.207906i | ||||
\(89\) | 0.859657 | + | 5.97905i | 0.0911235 | + | 0.633778i | 0.983287 | + | 0.182064i | \(0.0582779\pi\) |
−0.892163 | + | 0.451713i | \(0.850813\pi\) | |||||||
\(90\) | 3.16063 | − | 2.32801i | 0.333160 | − | 0.245394i | ||||
\(91\) | − | 12.7694i | − | 1.33860i | ||||||
\(92\) | 19.9858 | − | 4.11782i | 2.08367 | − | 0.429312i | ||||
\(93\) | −8.09453 | + | 9.49447i | −0.839364 | + | 0.984531i | ||||
\(94\) | 21.5105 | − | 11.0894i | 2.21863 | − | 1.14379i | ||||
\(95\) | −0.0773534 | + | 0.193219i | −0.00793629 | + | 0.0198239i | ||||
\(96\) | 1.28725 | − | 4.51779i | 0.131380 | − | 0.461095i | ||||
\(97\) | 12.9876 | − | 3.15075i | 1.31869 | − | 0.319911i | 0.486150 | − | 0.873876i | \(-0.338401\pi\) |
0.832540 | + | 0.553965i | \(0.186886\pi\) | |||||||
\(98\) | 27.2214 | + | 12.4316i | 2.74978 | + | 1.25578i | ||||
\(99\) | −1.52004 | − | 0.942751i | −0.152770 | − | 0.0947501i | ||||
\(100\) | −2.86190 | + | 19.9050i | −0.286190 | + | 1.99050i | ||||
\(101\) | 1.45323 | − | 1.52410i | 0.144602 | − | 0.151654i | −0.647450 | − | 0.762108i | \(-0.724165\pi\) |
0.792052 | + | 0.610454i | \(0.209013\pi\) | |||||||
\(102\) | −21.7110 | − | 12.3036i | −2.14971 | − | 1.21824i | ||||
\(103\) | −1.33464 | + | 0.0635767i | −0.131506 | + | 0.00626440i | −0.113232 | − | 0.993569i | \(-0.536120\pi\) |
−0.0182742 | + | 0.999833i | \(0.505817\pi\) | |||||||
\(104\) | −16.5168 | + | 0.786792i | −1.61960 | + | 0.0771513i | ||||
\(105\) | 3.40176 | − | 2.00058i | 0.331978 | − | 0.195236i | ||||
\(106\) | −15.2761 | + | 16.0211i | −1.48374 | + | 1.55611i | ||||
\(107\) | 1.04794 | − | 7.28858i | 0.101308 | − | 0.704614i | −0.874347 | − | 0.485302i | \(-0.838710\pi\) |
0.975655 | − | 0.219312i | \(-0.0703812\pi\) | |||||||
\(108\) | 4.69368 | − | 21.6050i | 0.451650 | − | 2.07894i | ||||
\(109\) | 14.5354 | + | 6.63811i | 1.39224 | + | 0.635816i | 0.963524 | − | 0.267622i | \(-0.0862379\pi\) |
0.428719 | + | 0.903438i | \(0.358965\pi\) | |||||||
\(110\) | −0.758156 | + | 0.183927i | −0.0722873 | + | 0.0175367i | ||||
\(111\) | −5.26439 | + | 1.32195i | −0.499674 | + | 0.125474i | ||||
\(112\) | 9.05460 | − | 22.6173i | 0.855579 | − | 2.13713i | ||||
\(113\) | −13.1743 | + | 6.79184i | −1.23934 | + | 0.638922i | −0.948174 | − | 0.317752i | \(-0.897072\pi\) |
−0.291162 | + | 0.956674i | \(0.594042\pi\) | |||||||
\(114\) | 0.576659 | + | 1.62387i | 0.0540090 | + | 0.152089i | ||||
\(115\) | 1.22666 | − | 2.18885i | 0.114387 | − | 0.204111i | ||||
\(116\) | − | 10.3909i | − | 0.964767i | ||||||
\(117\) | −8.74209 | + | 0.976580i | −0.808207 | + | 0.0902849i | ||||
\(118\) | 1.95648 | + | 13.6076i | 0.180109 | + | 1.25268i | ||||
\(119\) | −20.4362 | − | 14.5526i | −1.87339 | − | 1.33403i | ||||
\(120\) | −2.79728 | − | 4.27680i | −0.255355 | − | 0.390416i | ||||
\(121\) | −6.17443 | − | 8.67077i | −0.561312 | − | 0.788252i | ||||
\(122\) | 1.59472 | + | 4.60763i | 0.144379 | + | 0.417155i | ||||
\(123\) | −11.2658 | + | 9.92125i | −1.01580 | + | 0.894569i | ||||
\(124\) | 22.1821 | + | 21.1506i | 1.99201 | + | 1.89938i | ||||
\(125\) | 3.33239 | + | 3.84578i | 0.298058 | + | 0.343977i | ||||
\(126\) | 10.1900 | − | 31.0453i | 0.907797 | − | 2.76574i | ||||
\(127\) | −13.5638 | + | 8.71694i | −1.20359 | + | 0.773503i | −0.979575 | − | 0.201082i | \(-0.935554\pi\) |
−0.224020 | + | 0.974585i | \(0.571918\pi\) | |||||||
\(128\) | 15.5376 | + | 5.37763i | 1.37335 | + | 0.475320i | ||||
\(129\) | 12.2703 | − | 8.88686i | 1.08034 | − | 0.782444i | ||||
\(130\) | −2.37168 | + | 3.01584i | −0.208010 | + | 0.264507i | ||||
\(131\) | −8.25957 | + | 2.85866i | −0.721642 | + | 0.249763i | −0.663109 | − | 0.748523i | \(-0.730763\pi\) |
−0.0585328 | + | 0.998285i | \(0.518642\pi\) | |||||||
\(132\) | −2.51993 | + | 3.59954i | −0.219332 | + | 0.313299i | ||||
\(133\) | 0.408435 | + | 1.68359i | 0.0354158 | + | 0.145986i | ||||
\(134\) | 14.4034 | + | 31.5390i | 1.24426 | + | 2.72455i | ||||
\(135\) | −1.62978 | − | 2.17589i | −0.140269 | − | 0.187271i | ||||
\(136\) | −17.5641 | + | 27.3302i | −1.50611 | + | 2.34355i | ||||
\(137\) | 3.64695 | + | 6.31670i | 0.311580 | + | 0.539672i | 0.978705 | − | 0.205274i | \(-0.0658085\pi\) |
−0.667125 | + | 0.744946i | \(0.732475\pi\) | |||||||
\(138\) | −4.35542 | − | 20.3130i | −0.370758 | − | 1.72915i | ||||
\(139\) | −0.209712 | + | 0.363233i | −0.0177876 | + | 0.0308090i | −0.874782 | − | 0.484516i | \(-0.838996\pi\) |
0.856995 | + | 0.515325i | \(0.172329\pi\) | |||||||
\(140\) | −4.44233 | − | 8.61691i | −0.375445 | − | 0.728262i | ||||
\(141\) | −7.79927 | − | 14.8350i | −0.656817 | − | 1.24933i | ||||
\(142\) | 7.65846 | − | 10.7548i | 0.642684 | − | 0.902523i | ||||
\(143\) | 1.67740 | + | 0.492528i | 0.140271 | + | 0.0411873i | ||||
\(144\) | −16.1765 | − | 4.46916i | −1.34805 | − | 0.372430i | ||||
\(145\) | −0.965612 | − | 0.836708i | −0.0801897 | − | 0.0694848i | ||||
\(146\) | −10.0395 | − | 25.0775i | −0.830877 | − | 2.07543i | ||||
\(147\) | 8.45797 | − | 18.9207i | 0.697601 | − | 1.56055i | ||||
\(148\) | 2.52343 | + | 13.0928i | 0.207424 | + | 1.07622i | ||||
\(149\) | 0.259686 | + | 5.45147i | 0.0212743 | + | 0.446602i | 0.984225 | + | 0.176923i | \(0.0566145\pi\) |
−0.962950 | + | 0.269679i | \(0.913082\pi\) | |||||||
\(150\) | 20.2877 | + | 2.75095i | 1.65648 | + | 0.224614i | ||||
\(151\) | −3.54280 | + | 10.2363i | −0.288309 | + | 0.833014i | 0.704107 | + | 0.710093i | \(0.251347\pi\) |
−0.992416 | + | 0.122921i | \(0.960774\pi\) | |||||||
\(152\) | 2.15250 | − | 0.632031i | 0.174591 | − | 0.0512645i | ||||
\(153\) | −8.39994 | + | 15.1038i | −0.679095 | + | 1.22107i | ||||
\(154\) | −4.25255 | + | 4.90770i | −0.342680 | + | 0.395474i | ||||
\(155\) | 3.75168 | − | 0.358242i | 0.301342 | − | 0.0287747i | ||||
\(156\) | 1.20137 | + | 21.5755i | 0.0961864 | + | 1.72743i | ||||
\(157\) | −0.871555 | + | 9.12734i | −0.0695577 | + | 0.728441i | 0.891670 | + | 0.452686i | \(0.149534\pi\) |
−0.961228 | + | 0.275755i | \(0.911072\pi\) | |||||||
\(158\) | 17.5953 | + | 7.04409i | 1.39981 | + | 0.560398i | ||||
\(159\) | 11.1800 | + | 10.4901i | 0.886628 | + | 0.831917i | ||||
\(160\) | −1.22887 | + | 0.709488i | −0.0971506 | + | 0.0560899i | ||||
\(161\) | −2.25113 | − | 20.7640i | −0.177414 | − | 1.63643i | ||||
\(162\) | −22.0333 | − | 4.60190i | −1.73110 | − | 0.361560i | ||||
\(163\) | 8.85607 | + | 5.69145i | 0.693661 | + | 0.445789i | 0.839386 | − | 0.543536i | \(-0.182915\pi\) |
−0.145725 | + | 0.989325i | \(0.546551\pi\) | |||||||
\(164\) | 22.7957 | + | 28.9871i | 1.78005 | + | 2.26352i | ||||
\(165\) | 0.131588 | + | 0.524022i | 0.0102441 | + | 0.0407951i | ||||
\(166\) | 3.08975 | + | 3.24043i | 0.239811 | + | 0.251506i | ||||
\(167\) | −9.28018 | + | 6.60839i | −0.718122 | + | 0.511372i | −0.879725 | − | 0.475484i | \(-0.842273\pi\) |
0.161603 | + | 0.986856i | \(0.448334\pi\) | |||||||
\(168\) | −39.6163 | − | 15.4923i | −3.05647 | − | 1.19526i | ||||
\(169\) | −4.08710 | + | 1.63623i | −0.314393 | + | 0.125864i | ||||
\(170\) | 2.12369 | + | 7.23263i | 0.162880 | + | 0.554718i | ||||
\(171\) | 1.12137 | − | 0.408377i | 0.0857533 | − | 0.0312294i | ||||
\(172\) | −20.1215 | − | 31.3096i | −1.53425 | − | 2.38733i | ||||
\(173\) | 5.02641 | − | 9.74987i | 0.382151 | − | 0.741269i | −0.616797 | − | 0.787122i | \(-0.711570\pi\) |
0.998948 | + | 0.0458528i | \(0.0146005\pi\) | |||||||
\(174\) | −10.5784 | + | 0.0848892i | −0.801948 | + | 0.00643544i | ||||
\(175\) | 20.0025 | + | 4.85256i | 1.51205 | + | 0.366819i | ||||
\(176\) | 2.62178 | + | 2.06179i | 0.197624 | + | 0.155413i | ||||
\(177\) | 9.41280 | − | 1.43054i | 0.707509 | − | 0.107526i | ||||
\(178\) | −1.43603 | − | 15.0388i | −0.107635 | − | 1.12721i | ||||
\(179\) | −0.437707 | + | 1.49069i | −0.0327157 | + | 0.111420i | −0.974232 | − | 0.225548i | \(-0.927583\pi\) |
0.941516 | + | 0.336967i | \(0.109401\pi\) | |||||||
\(180\) | −5.55950 | + | 3.70027i | −0.414380 | + | 0.275802i | ||||
\(181\) | −9.49757 | + | 1.36554i | −0.705949 | + | 0.101500i | −0.485933 | − | 0.873996i | \(-0.661520\pi\) |
−0.220016 | + | 0.975496i | \(0.570611\pi\) | |||||||
\(182\) | −1.51957 | + | 31.8998i | −0.112638 | + | 2.36457i | ||||
\(183\) | 3.18205 | − | 1.12999i | 0.235224 | − | 0.0835314i | ||||
\(184\) | −26.7188 | + | 4.19114i | −1.96973 | + | 0.308975i | ||||
\(185\) | 1.41989 | + | 0.819776i | 0.104393 | + | 0.0602712i | ||||
\(186\) | 21.3511 | − | 22.7553i | 1.56554 | − | 1.66850i | ||||
\(187\) | 2.69988 | − | 2.12321i | 0.197435 | − | 0.155264i | ||||
\(188\) | −37.4517 | + | 17.1036i | −2.73144 | + | 1.24741i | ||||
\(189\) | −21.5564 | − | 6.88433i | −1.56800 | − | 0.500761i | ||||
\(190\) | 0.216233 | − | 0.473484i | 0.0156872 | − | 0.0343501i | ||||
\(191\) | 9.59856 | + | 1.84997i | 0.694527 | + | 0.133859i | 0.524285 | − | 0.851543i | \(-0.324333\pi\) |
0.170242 | + | 0.985402i | \(0.445545\pi\) | |||||||
\(192\) | 2.43767 | − | 7.23039i | 0.175924 | − | 0.521808i | ||||
\(193\) | 0.467829 | − | 1.92842i | 0.0336751 | − | 0.138810i | −0.952492 | − | 0.304562i | \(-0.901490\pi\) |
0.986168 | + | 0.165752i | \(0.0530050\pi\) | |||||||
\(194\) | −32.8198 | + | 6.32549i | −2.35632 | + | 0.454144i | ||||
\(195\) | 2.10173 | + | 1.62570i | 0.150508 | + | 0.116419i | ||||
\(196\) | −45.2526 | − | 23.3294i | −3.23233 | − | 1.66638i | ||||
\(197\) | −10.1485 | + | 8.79375i | −0.723053 | + | 0.626529i | −0.936599 | − | 0.350404i | \(-0.886044\pi\) |
0.213546 | + | 0.976933i | \(0.431499\pi\) | |||||||
\(198\) | 3.68510 | + | 2.53601i | 0.261888 | + | 0.180227i | ||||
\(199\) | −0.161596 | − | 0.0232340i | −0.0114552 | − | 0.00164702i | 0.136585 | − | 0.990628i | \(-0.456387\pi\) |
−0.148040 | + | 0.988981i | \(0.547296\pi\) | |||||||
\(200\) | 5.04415 | − | 26.1715i | 0.356675 | − | 1.85061i | ||||
\(201\) | 21.7616 | − | 10.1500i | 1.53494 | − | 0.715926i | ||||
\(202\) | −3.81174 | + | 3.63449i | −0.268193 | + | 0.255722i | ||||
\(203\) | −10.5871 | − | 1.01095i | −0.743070 | − | 0.0709546i | ||||
\(204\) | 35.8988 | + | 22.6658i | 2.51342 | + | 1.58692i | ||||
\(205\) | 4.52934 | + | 0.215759i | 0.316343 | + | 0.0150693i | ||||
\(206\) | 3.34168 | 0.232826 | ||||||||
\(207\) | −14.0431 | + | 3.12914i | −0.976062 | + | 0.217490i | ||||
\(208\) | 16.4030 | 1.13734 | ||||||||
\(209\) | −0.236911 | − | 0.0112855i | −0.0163875 | − | 0.000780632i | ||||
\(210\) | −8.73616 | + | 4.59291i | −0.602852 | + | 0.316941i | ||||
\(211\) | 22.8905 | + | 2.18578i | 1.57585 | + | 0.150475i | 0.846018 | − | 0.533154i | \(-0.178994\pi\) |
0.729829 | + | 0.683630i | \(0.239600\pi\) | |||||||
\(212\) | 27.2564 | − | 25.9890i | 1.87198 | − | 1.78493i | ||||
\(213\) | −7.49057 | − | 5.24393i | −0.513245 | − | 0.359308i | ||||
\(214\) | −3.48525 | + | 18.0832i | −0.238247 | + | 1.23614i | ||||
\(215\) | −4.52982 | − | 0.651290i | −0.308931 | − | 0.0444176i | ||||
\(216\) | −7.57643 | + | 28.3066i | −0.515511 | + | 1.92602i | ||||
\(217\) | 23.7082 | − | 20.5433i | 1.60942 | − | 1.39457i | ||||
\(218\) | −35.5216 | − | 18.3127i | −2.40583 | − | 1.24029i | ||||
\(219\) | −17.3111 | + | 7.09202i | −1.16978 | + | 0.479234i | ||||
\(220\) | 1.30327 | − | 0.251184i | 0.0878663 | − | 0.0169348i | ||||
\(221\) | 3.98236 | − | 16.4155i | 0.267883 | − | 1.10423i | ||||
\(222\) | 13.3085 | − | 2.67594i | 0.893208 | − | 0.179597i | ||||
\(223\) | 11.2274 | + | 2.16390i | 0.751840 | + | 0.144905i | 0.550753 | − | 0.834668i | \(-0.314341\pi\) |
0.201087 | + | 0.979573i | \(0.435553\pi\) | |||||||
\(224\) | −4.90660 | + | 10.7440i | −0.327836 | + | 0.717861i | ||||
\(225\) | 1.79236 | − | 14.0651i | 0.119491 | − | 0.937671i | ||||
\(226\) | 33.7196 | − | 15.3992i | 2.24299 | − | 1.02434i | ||||
\(227\) | −19.6143 | + | 15.4249i | −1.30185 | + | 1.02379i | −0.304389 | + | 0.952548i | \(0.598452\pi\) |
−0.997459 | + | 0.0712376i | \(0.977305\pi\) | |||||||
\(228\) | −0.848497 | − | 2.80621i | −0.0561931 | − | 0.185846i | ||||
\(229\) | −12.6798 | − | 7.32068i | −0.837905 | − | 0.483764i | 0.0186469 | − | 0.999826i | \(-0.494064\pi\) |
−0.856551 | + | 0.516062i | \(0.827398\pi\) | |||||||
\(230\) | −3.32486 | + | 5.32207i | −0.219235 | + | 0.350927i | ||||
\(231\) | 3.42236 | + | 2.91774i | 0.225174 | + | 0.191973i | ||||
\(232\) | −0.655296 | + | 13.7564i | −0.0430223 | + | 0.903149i | ||||
\(233\) | 8.82010 | − | 1.26814i | 0.577824 | − | 0.0830786i | 0.152794 | − | 0.988258i | \(-0.451173\pi\) |
0.425030 | + | 0.905179i | \(0.360264\pi\) | |||||||
\(234\) | 21.9552 | − | 1.39932i | 1.43526 | − | 0.0914762i | ||||
\(235\) | −1.42632 | + | 4.85759i | −0.0930427 | + | 0.316874i | ||||
\(236\) | −2.22322 | − | 23.2826i | −0.144719 | − | 1.51557i | ||||
\(237\) | 4.78045 | − | 12.2244i | 0.310524 | − | 0.794059i | ||||
\(238\) | 49.3208 | + | 38.7863i | 3.19699 | + | 2.51414i | ||||
\(239\) | 17.6418 | + | 4.27985i | 1.14115 | + | 0.276841i | 0.761422 | − | 0.648257i | \(-0.224502\pi\) |
0.379730 | + | 0.925097i | \(0.376017\pi\) | |||||||
\(240\) | 2.56985 | + | 4.36975i | 0.165883 | + | 0.282066i | ||||
\(241\) | 3.77753 | − | 7.32739i | 0.243332 | − | 0.471999i | −0.735266 | − | 0.677779i | \(-0.762943\pi\) |
0.978598 | + | 0.205780i | \(0.0659731\pi\) | |||||||
\(242\) | 14.3928 | + | 22.3956i | 0.925202 | + | 1.43964i | ||||
\(243\) | −3.06450 | + | 15.2843i | −0.196588 | + | 0.980486i | ||||
\(244\) | −2.33701 | − | 7.95911i | −0.149611 | − | 0.509530i | ||||
\(245\) | −5.81188 | + | 2.32672i | −0.371307 | + | 0.148649i | ||||
\(246\) | 29.3242 | − | 23.4440i | 1.86964 | − | 1.49474i | ||||
\(247\) | −0.950143 | + | 0.676594i | −0.0604562 | + | 0.0430507i | ||||
\(248\) | −28.0328 | − | 29.3999i | −1.78008 | − | 1.86690i | ||||
\(249\) | 2.22692 | − | 2.15775i | 0.141125 | − | 0.136742i | ||||
\(250\) | −7.86712 | − | 10.0039i | −0.497560 | − | 0.632699i | ||||
\(251\) | −16.7739 | − | 10.7799i | −1.05876 | − | 0.680422i | −0.109202 | − | 0.994020i | \(-0.534829\pi\) |
−0.949556 | + | 0.313597i | \(0.898466\pi\) | |||||||
\(252\) | −19.8296 | + | 51.9323i | −1.24915 | + | 3.27143i | ||||
\(253\) | 2.81440 | + | 0.505176i | 0.176940 | + | 0.0317601i | ||||
\(254\) | 34.9217 | − | 20.1620i | 2.19118 | − | 1.26508i | ||||
\(255\) | 4.99700 | − | 1.51091i | 0.312924 | − | 0.0946169i | ||||
\(256\) | −29.9957 | − | 12.0085i | −1.87473 | − | 0.750530i | ||||
\(257\) | −1.10037 | + | 11.5236i | −0.0686393 | + | 0.718823i | 0.894005 | + | 0.448056i | \(0.147883\pi\) |
−0.962645 | + | 0.270767i | \(0.912723\pi\) | |||||||
\(258\) | −31.7104 | + | 20.7405i | −1.97420 | + | 1.29124i | ||||
\(259\) | 13.5856 | − | 1.29727i | 0.844167 | − | 0.0806082i | ||||
\(260\) | 4.27447 | − | 4.93300i | 0.265091 | − | 0.305932i | ||||
\(261\) | 0.117576 | + | 7.32538i | 0.00727780 | + | 0.453430i | ||||
\(262\) | 20.9738 | − | 6.15845i | 1.29576 | − | 0.380470i | ||||
\(263\) | −6.71341 | + | 19.3971i | −0.413967 | + | 1.19608i | 0.524710 | + | 0.851281i | \(0.324174\pi\) |
−0.938677 | + | 0.344798i | \(0.887948\pi\) | |||||||
\(264\) | 3.56312 | − | 4.60647i | 0.219295 | − | 0.283509i | ||||
\(265\) | −0.220346 | − | 4.62564i | −0.0135358 | − | 0.284151i | ||||
\(266\) | −0.819978 | − | 4.25445i | −0.0502761 | − | 0.260857i | ||||
\(267\) | −10.4068 | + | 1.07807i | −0.636887 | + | 0.0659767i | ||||
\(268\) | −21.9234 | − | 54.7620i | −1.33918 | − | 3.34512i | ||||
\(269\) | 20.5489 | + | 17.8057i | 1.25289 | + | 1.08563i | 0.992767 | + | 0.120059i | \(0.0383084\pi\) |
0.260122 | + | 0.965576i | \(0.416237\pi\) | |||||||
\(270\) | 3.81248 | + | 5.62962i | 0.232020 | + | 0.342608i | ||||
\(271\) | −0.827991 | − | 0.243120i | −0.0502969 | − | 0.0147685i | 0.256487 | − | 0.966548i | \(-0.417435\pi\) |
−0.306784 | + | 0.951779i | \(0.599253\pi\) | |||||||
\(272\) | 18.6936 | − | 26.2515i | 1.13347 | − | 1.59173i | ||||
\(273\) | 22.1000 | + | 0.875069i | 1.33755 | + | 0.0529616i | ||||
\(274\) | −8.35890 | − | 16.2140i | −0.504980 | − | 0.979524i | ||||
\(275\) | −1.40895 | + | 2.44037i | −0.0849629 | + | 0.147160i | ||||
\(276\) | 5.75708 | + | 34.8716i | 0.346536 | + | 2.09902i | ||||
\(277\) | 4.71153 | + | 8.16060i | 0.283088 | + | 0.490323i | 0.972144 | − | 0.234385i | \(-0.0753078\pi\) |
−0.689056 | + | 0.724709i | \(0.741974\pi\) | |||||||
\(278\) | 0.567116 | − | 0.882450i | 0.0340134 | − | 0.0529258i | ||||
\(279\) | −15.8773 | − | 14.6598i | −0.950550 | − | 0.877659i | ||||
\(280\) | 5.33773 | + | 11.6880i | 0.318990 | + | 0.698492i | ||||
\(281\) | 3.32250 | + | 13.6955i | 0.198204 | + | 0.817007i | 0.980886 | + | 0.194585i | \(0.0623361\pi\) |
−0.782682 | + | 0.622422i | \(0.786149\pi\) | |||||||
\(282\) | 17.7183 | + | 37.9880i | 1.05511 | + | 2.26215i | ||||
\(283\) | −11.8987 | + | 4.11819i | −0.707307 | + | 0.244801i | −0.656954 | − | 0.753930i | \(-0.728156\pi\) |
−0.0503523 | + | 0.998732i | \(0.516034\pi\) | |||||||
\(284\) | −13.8851 | + | 17.6563i | −0.823928 | + | 1.04771i | ||||
\(285\) | −0.329103 | − | 0.147116i | −0.0194944 | − | 0.00871440i | ||||
\(286\) | −4.13177 | − | 1.43002i | −0.244316 | − | 0.0845587i | ||||
\(287\) | 31.7525 | − | 20.4061i | 1.87429 | − | 1.20453i | ||||
\(288\) | 7.73069 | + | 2.53744i | 0.455535 | + | 0.149520i | ||||
\(289\) | −10.6004 | − | 12.2335i | −0.623552 | − | 0.719617i | ||||
\(290\) | 2.31267 | + | 2.20512i | 0.135804 | + | 0.129489i | ||||
\(291\) | 4.56297 | + | 22.6935i | 0.267486 | + | 1.33031i | ||||
\(292\) | 15.0307 | + | 43.4284i | 0.879606 | + | 2.54145i | ||||
\(293\) | −11.2996 | − | 15.8681i | −0.660130 | − | 0.927023i | 0.339779 | − | 0.940505i | \(-0.389648\pi\) |
−0.999909 | + | 0.0134822i | \(0.995708\pi\) | |||||||
\(294\) | −23.3808 | + | 46.2601i | −1.36359 | + | 2.69794i | ||||
\(295\) | −2.34265 | − | 1.66820i | −0.136395 | − | 0.0971262i | ||||
\(296\) | −2.51505 | − | 17.4925i | −0.146184 | − | 1.01673i | ||||
\(297\) | 1.73578 | − | 2.56613i | 0.100720 | − | 0.148902i | ||||
\(298\) | − | 13.6495i | − | 0.790692i | ||||||
\(299\) | 12.4155 | − | 6.60302i | 0.718004 | − | 0.381862i | ||||
\(300\) | −34.2533 | − | 6.31714i | −1.97762 | − | 0.364720i | ||||
\(301\) | −33.8586 | + | 17.4553i | −1.95158 | + | 1.00611i | ||||
\(302\) | 10.0685 | − | 25.1500i | 0.579380 | − | 1.44722i | ||||
\(303\) | 2.53817 | + | 2.61954i | 0.145814 | + | 0.150489i | ||||
\(304\) | −2.16266 | + | 0.524657i | −0.124037 | + | 0.0300911i | ||||
\(305\) | −0.927816 | − | 0.423719i | −0.0531266 | − | 0.0242621i | ||||
\(306\) | 22.7816 | − | 36.7319i | 1.30234 | − | 2.09982i | ||||
\(307\) | 3.01615 | − | 20.9778i | 0.172141 | − | 1.19726i | −0.702210 | − | 0.711970i | \(-0.747803\pi\) |
0.874351 | − | 0.485295i | \(-0.161288\pi\) | |||||||
\(308\) | 7.62388 | − | 7.99570i | 0.434411 | − | 0.455597i | ||||
\(309\) | −0.0185710 | − | 2.31421i | −0.00105647 | − | 0.131651i | ||||
\(310\) | −9.41486 | + | 0.448485i | −0.534728 | + | 0.0254722i | ||||
\(311\) | −22.4903 | + | 1.07134i | −1.27531 | + | 0.0607503i | −0.674278 | − | 0.738478i | \(-0.735545\pi\) |
−0.601028 | + | 0.799228i | \(0.705242\pi\) | |||||||
\(312\) | −0.229825 | − | 28.6394i | −0.0130113 | − | 1.62139i | ||||
\(313\) | −13.3805 | + | 14.0331i | −0.756311 | + | 0.793196i | −0.983549 | − | 0.180643i | \(-0.942182\pi\) |
0.227237 | + | 0.973839i | \(0.427031\pi\) | |||||||
\(314\) | 3.26343 | − | 22.6977i | 0.184166 | − | 1.28090i | ||||
\(315\) | 3.22927 | + | 6.02451i | 0.181949 | + | 0.339443i | ||||
\(316\) | −29.3305 | − | 13.3948i | −1.64997 | − | 0.753516i | ||||
\(317\) | −12.6945 | + | 3.07965i | −0.712993 | + | 0.172970i | −0.575819 | − | 0.817577i | \(-0.695317\pi\) |
−0.137173 | + | 0.990547i | \(0.543802\pi\) | |||||||
\(318\) | −26.6808 | − | 27.5361i | −1.49618 | − | 1.54415i | ||||
\(319\) | 0.541154 | − | 1.35174i | 0.0302988 | − | 0.0756828i | ||||
\(320\) | −2.04861 | + | 1.05613i | −0.114521 | + | 0.0590396i | ||||
\(321\) | 12.5425 | + | 2.31314i | 0.700054 | + | 0.129107i | ||||
\(322\) | 3.15271 | + | 52.1392i | 0.175694 | + | 2.90560i | ||||
\(323\) | 2.29169i | 0.127513i | ||||||||
\(324\) | 37.0700 | + | 9.60389i | 2.05944 | + | 0.533549i | ||||
\(325\) | 1.97222 | + | 13.7171i | 0.109399 | + | 0.760888i | ||||
\(326\) | −21.4464 | − | 15.2719i | −1.18781 | − | 0.845834i | ||||
\(327\) | −12.4846 | + | 24.7015i | −0.690402 | + | 1.36600i | ||||
\(328\) | −28.3510 | − | 39.8134i | −1.56542 | − | 2.19833i | ||||
\(329\) | 13.7829 | + | 39.8231i | 0.759877 | + | 2.19552i | ||||
\(330\) | −0.266365 | − | 1.32474i | −0.0146629 | − | 0.0729245i | ||||
\(331\) | 1.72162 | + | 1.64156i | 0.0946287 | + | 0.0902282i | 0.735917 | − | 0.677072i | \(-0.236751\pi\) |
−0.641288 | + | 0.767300i | \(0.721600\pi\) | |||||||
\(332\) | −4.98827 | − | 5.75677i | −0.273767 | − | 0.315944i | ||||
\(333\) | −1.92712 | − | 9.20164i | −0.105606 | − | 0.504247i | ||||
\(334\) | 23.9696 | − | 15.4043i | 1.31156 | − | 0.842888i | ||||
\(335\) | −6.85432 | − | 2.37230i | −0.374492 | − | 0.129613i | ||||
\(336\) | 38.5231 | + | 17.2207i | 2.10161 | + | 0.939465i | ||||
\(337\) | −2.04960 | + | 2.60628i | −0.111649 | + | 0.141973i | −0.838666 | − | 0.544647i | \(-0.816664\pi\) |
0.727017 | + | 0.686620i | \(0.240906\pi\) | |||||||
\(338\) | 10.4049 | − | 3.60116i | 0.565951 | − | 0.195877i | ||||
\(339\) | −10.8518 | − | 23.2662i | −0.589388 | − | 1.26364i | ||||
\(340\) | −3.02343 | − | 12.4627i | −0.163969 | − | 0.675887i | ||||
\(341\) | 1.78413 | + | 3.90670i | 0.0966160 | + | 0.211560i | ||||
\(342\) | −2.84994 | + | 0.886739i | −0.154107 | + | 0.0479494i | ||||
\(343\) | −11.6915 | + | 18.1923i | −0.631280 | + | 0.982290i | ||||
\(344\) | 24.6641 | + | 42.7194i | 1.32980 | + | 2.30328i | ||||
\(345\) | 3.70416 | + | 2.27298i | 0.199425 | + | 0.122373i | ||||
\(346\) | −13.7169 | + | 23.7584i | −0.737426 | + | 1.27726i | ||||
\(347\) | 4.55623 | + | 8.83786i | 0.244591 | + | 0.474441i | 0.978891 | − | 0.204385i | \(-0.0655194\pi\) |
−0.734299 | + | 0.678826i | \(0.762489\pi\) | |||||||
\(348\) | 17.9834 | + | 0.712070i | 0.964011 | + | 0.0381710i | ||||
\(349\) | 4.18237 | − | 5.87332i | 0.223877 | − | 0.314392i | −0.687326 | − | 0.726349i | \(-0.741215\pi\) |
0.911203 | + | 0.411958i | \(0.135155\pi\) | |||||||
\(350\) | −49.3916 | − | 14.5027i | −2.64009 | − | 0.775202i | ||||
\(351\) | −1.09108 | − | 15.1968i | −0.0582375 | − | 0.811146i | ||||
\(352\) | −1.22208 | − | 1.05894i | −0.0651372 | − | 0.0564417i | ||||
\(353\) | 0.691792 | + | 1.72801i | 0.0368204 | + | 0.0919729i | 0.945638 | − | 0.325220i | \(-0.105438\pi\) |
−0.908818 | + | 0.417193i | \(0.863014\pi\) | |||||||
\(354\) | −23.6847 | + | 2.45356i | −1.25883 | + | 0.130405i | ||||
\(355\) | 0.522710 | + | 2.71207i | 0.0277425 | + | 0.143942i | ||||
\(356\) | 1.22293 | + | 25.6726i | 0.0648154 | + | 1.36064i | ||||
\(357\) | 26.5865 | − | 34.3716i | 1.40711 | − | 1.81914i | ||||
\(358\) | 1.27085 | − | 3.67187i | 0.0671663 | − | 0.194064i | ||||
\(359\) | 7.49860 | − | 2.20179i | 0.395761 | − | 0.116206i | −0.0777956 | − | 0.996969i | \(-0.524788\pi\) |
0.473557 | + | 0.880763i | \(0.342970\pi\) | |||||||
\(360\) | 7.59352 | − | 4.54815i | 0.400214 | − | 0.239709i | ||||
\(361\) | −12.3387 | + | 14.2396i | −0.649406 | + | 0.749455i | ||||
\(362\) | 23.8888 | − | 2.28110i | 1.25557 | − | 0.119892i | ||||
\(363\) | 15.4296 | − | 10.0919i | 0.809843 | − | 0.529685i | ||||
\(364\) | 5.16460 | − | 54.0862i | 0.270699 | − | 2.83489i | ||||
\(365\) | 5.24609 | + | 2.10022i | 0.274593 | + | 0.109930i | ||||
\(366\) | −8.08368 | + | 2.44421i | −0.422541 | + | 0.127761i | ||||
\(367\) | 7.59002 | − | 4.38210i | 0.396196 | − | 0.228744i | −0.288645 | − | 0.957436i | \(-0.593205\pi\) |
0.684841 | + | 0.728692i | \(0.259872\pi\) | |||||||
\(368\) | 26.6725 | − | 2.89170i | 1.39040 | − | 0.150741i | ||||
\(369\) | −16.3986 | − | 20.1775i | −0.853678 | − | 1.05040i | ||||
\(370\) | −3.44954 | − | 2.21689i | −0.179333 | − | 0.115250i | ||||
\(371\) | −23.8280 | − | 30.2998i | −1.23709 | − | 1.57309i | ||||
\(372\) | −38.1253 | + | 36.9410i | −1.97670 | + | 1.91530i | ||||
\(373\) | 9.31564 | + | 9.76996i | 0.482346 | + | 0.505869i | 0.919269 | − | 0.393629i | \(-0.128781\pi\) |
−0.436924 | + | 0.899499i | \(0.643932\pi\) | |||||||
\(374\) | −6.99735 | + | 4.98279i | −0.361824 | + | 0.257654i | ||||
\(375\) | −6.88423 | + | 5.50380i | −0.355500 | + | 0.284215i | ||||
\(376\) | 50.6606 | − | 20.2814i | 2.61262 | − | 1.04594i | ||||
\(377\) | −2.01739 | − | 6.87059i | −0.103901 | − | 0.353853i | ||||
\(378\) | 53.0317 | + | 19.7633i | 2.72766 | + | 1.01651i | ||||
\(379\) | 15.4725 | + | 24.0756i | 0.794767 | + | 1.23668i | 0.967789 | + | 0.251764i | \(0.0810107\pi\) |
−0.173021 | + | 0.984918i | \(0.555353\pi\) | |||||||
\(380\) | −0.405786 | + | 0.787115i | −0.0208164 | + | 0.0403781i | ||||
\(381\) | −14.1568 | − | 24.0722i | −0.725277 | − | 1.23326i | ||||
\(382\) | −23.7584 | − | 5.76372i | −1.21559 | − | 0.294898i | ||||
\(383\) | −13.8057 | − | 10.8569i | −0.705439 | − | 0.554763i | 0.199711 | − | 0.979855i | \(-0.436000\pi\) |
−0.905150 | + | 0.425091i | \(0.860242\pi\) | |||||||
\(384\) | −10.3718 | + | 26.5224i | −0.529284 | + | 1.35346i | ||||
\(385\) | −0.129131 | − | 1.35232i | −0.00658113 | − | 0.0689207i | ||||
\(386\) | −1.39819 | + | 4.76178i | −0.0711658 | + | 0.242368i | ||||
\(387\) | 14.5396 | + | 21.8451i | 0.739088 | + | 1.11045i | ||||
\(388\) | 56.2846 | − | 8.09251i | 2.85742 | − | 0.410835i | ||||
\(389\) | −0.174393 | + | 3.66096i | −0.00884208 | + | 0.185618i | 0.990125 | + | 0.140185i | \(0.0447698\pi\) |
−0.998967 | + | 0.0454330i | \(0.985533\pi\) | |||||||
\(390\) | −5.05697 | − | 4.31133i | −0.256069 | − | 0.218313i | ||||
\(391\) | 3.58169 | − | 27.3948i | 0.181134 | − | 1.38542i | ||||
\(392\) | 58.4383 | + | 33.7394i | 2.95158 | + | 1.70410i | ||||
\(393\) | −4.38146 | − | 14.4907i | −0.221015 | − | 0.730959i | ||||
\(394\) | 26.3989 | − | 20.7603i | 1.32996 | − | 1.04589i | ||||
\(395\) | −3.60656 | + | 1.64706i | −0.181466 | + | 0.0828726i | ||||
\(396\) | −6.05701 | − | 4.60790i | −0.304376 | − | 0.231556i | ||||
\(397\) | 9.49735 | − | 20.7963i | 0.476658 | − | 1.04374i | −0.506710 | − | 0.862116i | \(-0.669139\pi\) |
0.983369 | − | 0.181620i | \(-0.0581341\pi\) | |||||||
\(398\) | 0.400925 | + | 0.0772720i | 0.0200966 | + | 0.00387329i | ||||
\(399\) | −2.94177 | + | 0.591502i | −0.147273 | + | 0.0296121i | ||||
\(400\) | −6.23338 | + | 25.6943i | −0.311669 | + | 1.28472i | ||||
\(401\) | 19.3623 | − | 3.73178i | 0.966907 | − | 0.186356i | 0.318730 | − | 0.947846i | \(-0.396744\pi\) |
0.648177 | + | 0.761489i | \(0.275532\pi\) | |||||||
\(402\) | −55.5714 | + | 22.7665i | −2.77165 | + | 1.13549i | ||||
\(403\) | 18.7735 | + | 9.67841i | 0.935175 | + | 0.482116i | ||||
\(404\) | 6.77173 | − | 5.86774i | 0.336906 | − | 0.291931i | ||||
\(405\) | 3.87748 | − | 2.67154i | 0.192674 | − | 0.132750i | ||||
\(406\) | 26.3278 | + | 3.78537i | 1.30663 | + | 0.187865i | ||||
\(407\) | −0.353599 | + | 1.83465i | −0.0175273 | + | 0.0909401i | ||||
\(408\) | −46.0966 | − | 32.2709i | −2.28212 | − | 1.59765i | ||||
\(409\) | 8.02684 | − | 7.65357i | 0.396902 | − | 0.378445i | −0.465179 | − | 0.885217i | \(-0.654010\pi\) |
0.862080 | + | 0.506772i | \(0.169161\pi\) | |||||||
\(410\) | −11.2893 | − | 1.07799i | −0.557537 | − | 0.0532383i | ||||
\(411\) | −11.1822 | + | 5.87888i | −0.551577 | + | 0.289984i | ||||
\(412\) | −5.67871 | − | 0.270511i | −0.279770 | − | 0.0133271i | ||||
\(413\) | −23.9387 | −1.17795 | ||||||||
\(414\) | 35.4540 | − | 6.14589i | 1.74247 | − | 0.302054i | ||||
\(415\) | −0.936645 | −0.0459781 | ||||||||
\(416\) | −7.94346 | − | 0.378394i | −0.389460 | − | 0.0185523i | ||||
\(417\) | −0.614273 | − | 0.387840i | −0.0300811 | − | 0.0189926i | ||||
\(418\) | 0.590495 | + | 0.0563854i | 0.0288820 | + | 0.00275790i | ||||
\(419\) | 9.29579 | − | 8.86352i | 0.454129 | − | 0.433011i | −0.428172 | − | 0.903697i | \(-0.640842\pi\) |
0.882301 | + | 0.470686i | \(0.155994\pi\) | |||||||
\(420\) | 15.2177 | − | 7.09780i | 0.742546 | − | 0.346337i | ||||
\(421\) | −1.66182 | + | 8.62236i | −0.0809924 | + | 0.420228i | 0.918689 | + | 0.394982i | \(0.129249\pi\) |
−0.999681 | + | 0.0252464i | \(0.991963\pi\) | |||||||
\(422\) | −56.9236 | − | 8.18438i | −2.77100 | − | 0.398409i | ||||
\(423\) | 26.2093 | − | 12.4815i | 1.27434 | − | 0.606873i | ||||
\(424\) | −37.7235 | + | 32.6876i | −1.83202 | + | 1.58745i | ||||
\(425\) | 24.2006 | + | 12.4763i | 1.17390 | + | 0.605187i | ||||
\(426\) | 18.0885 | + | 13.9915i | 0.876389 | + | 0.677889i | ||||
\(427\) | −8.33681 | + | 1.60679i | −0.403447 | + | 0.0777580i | ||||
\(428\) | 7.38654 | − | 30.4477i | 0.357042 | − | 1.47175i | ||||
\(429\) | −0.967366 | + | 2.86931i | −0.0467049 | + | 0.138532i | ||||
\(430\) | 11.2386 | + | 2.16607i | 0.541975 | + | 0.104457i | ||||
\(431\) | −10.6441 | + | 23.3073i | −0.512708 | + | 1.12267i | 0.459419 | + | 0.888220i | \(0.348058\pi\) |
−0.972127 | + | 0.234455i | \(0.924670\pi\) | |||||||
\(432\) | 8.84330 | − | 27.6904i | 0.425473 | − | 1.33225i | ||||
\(433\) | −13.1044 | + | 5.98458i | −0.629758 | + | 0.287601i | −0.704611 | − | 0.709594i | \(-0.748878\pi\) |
0.0748533 | + | 0.997195i | \(0.476151\pi\) | |||||||
\(434\) | −61.6711 | + | 48.4987i | −2.96031 | + | 2.32801i | ||||
\(435\) | 1.51426 | − | 1.61384i | 0.0726031 | − | 0.0773778i | ||||
\(436\) | 58.8816 | + | 33.9953i | 2.81992 | + | 1.62808i | ||||
\(437\) | −1.42572 | + | 1.26769i | −0.0682016 | + | 0.0606419i | ||||
\(438\) | 44.0895 | − | 15.6568i | 2.10668 | − | 0.748112i | ||||
\(439\) | 1.43826 | − | 30.1928i | 0.0686444 | − | 1.44102i | −0.657486 | − | 0.753467i | \(-0.728380\pi\) |
0.726131 | − | 0.687557i | \(-0.241317\pi\) | |||||||
\(440\) | −1.74122 | + | 0.250350i | −0.0830096 | + | 0.0119350i | ||||
\(441\) | 32.1664 | + | 15.9348i | 1.53173 | + | 0.758798i | ||||
\(442\) | −11.9020 | + | 40.5344i | −0.566119 | + | 1.92802i | ||||
\(443\) | −1.91475 | − | 20.0522i | −0.0909726 | − | 0.952708i | −0.919587 | − | 0.392888i | \(-0.871476\pi\) |
0.828614 | − | 0.559820i | \(-0.189130\pi\) | |||||||
\(444\) | −22.8325 | + | 3.47005i | −1.08358 | + | 0.164681i | ||||
\(445\) | 2.48420 | + | 1.95360i | 0.117762 | + | 0.0926094i | ||||
\(446\) | −27.7900 | − | 6.74179i | −1.31590 | − | 0.319233i | ||||
\(447\) | −9.45263 | + | 0.0758551i | −0.447094 | + | 0.00358782i | ||||
\(448\) | −8.79108 | + | 17.0523i | −0.415339 | + | 0.805646i | ||||
\(449\) | 7.68955 | + | 11.9652i | 0.362892 | + | 0.564672i | 0.973907 | − | 0.226948i | \(-0.0728747\pi\) |
−0.611015 | + | 0.791619i | \(0.709238\pi\) | |||||||
\(450\) | −6.15134 | + | 34.9232i | −0.289977 | + | 1.64630i | ||||
\(451\) | 1.45583 | + | 4.95811i | 0.0685525 | + | 0.233468i | ||||
\(452\) | −58.5482 | + | 23.4392i | −2.75387 | + | 1.10249i | ||||
\(453\) | −17.4730 | − | 6.83298i | −0.820955 | − | 0.321042i | ||||
\(454\) | 50.8349 | − | 36.1994i | 2.38580 | − | 1.69892i | ||||
\(455\) | −4.61031 | − | 4.83515i | −0.216134 | − | 0.226675i | ||||
\(456\) | 0.946345 | + | 3.76863i | 0.0443167 | + | 0.176482i | ||||
\(457\) | −8.20759 | − | 10.4368i | −0.383935 | − | 0.488213i | 0.555222 | − | 0.831702i | \(-0.312633\pi\) |
−0.939156 | + | 0.343490i | \(0.888391\pi\) | |||||||
\(458\) | 30.8048 | + | 19.7970i | 1.43941 | + | 0.925054i | ||||
\(459\) | −25.5645 | − | 15.5728i | −1.19325 | − | 0.726875i | ||||
\(460\) | 6.08095 | − | 8.77496i | 0.283526 | − | 0.409135i | ||||
\(461\) | 6.52808 | − | 3.76899i | 0.304043 | − | 0.175539i | −0.340215 | − | 0.940348i | \(-0.610500\pi\) |
0.644258 | + | 0.764809i | \(0.277166\pi\) | |||||||
\(462\) | −8.20231 | − | 7.69618i | −0.381606 | − | 0.358059i | ||||
\(463\) | −17.3028 | − | 6.92701i | −0.804131 | − | 0.321925i | −0.0670670 | − | 0.997748i | \(-0.521364\pi\) |
−0.737064 | + | 0.675823i | \(0.763788\pi\) | |||||||
\(464\) | 1.29862 | − | 13.5997i | 0.0602868 | − | 0.631352i | ||||
\(465\) | 0.362910 | + | 6.51756i | 0.0168296 | + | 0.302245i | ||||
\(466\) | −22.1848 | + | 2.11839i | −1.02769 | + | 0.0981325i | ||||
\(467\) | −5.38765 | + | 6.21768i | −0.249311 | + | 0.287720i | −0.866586 | − | 0.499027i | \(-0.833691\pi\) |
0.617276 | + | 0.786747i | \(0.288236\pi\) | |||||||
\(468\) | −37.4230 | + | 0.600660i | −1.72988 | + | 0.0277655i | ||||
\(469\) | −57.9293 | + | 17.0096i | −2.67493 | + | 0.785429i | ||||
\(470\) | 4.14120 | − | 11.9652i | 0.191019 | − | 0.551914i | ||||
\(471\) | −15.7369 | − | 2.13388i | −0.725119 | − | 0.0983240i | ||||
\(472\) | 1.47499 | + | 30.9639i | 0.0678920 | + | 1.42523i | ||||
\(473\) | −0.986984 | − | 5.12096i | −0.0453816 | − | 0.235462i | ||||
\(474\) | −13.3970 | + | 29.9694i | −0.615342 | + | 1.37654i | ||||
\(475\) | −0.698776 | − | 1.74546i | −0.0320620 | − | 0.0800871i | ||||
\(476\) | −80.6740 | − | 69.9044i | −3.69769 | − | 3.20406i | ||||
\(477\) | −18.9213 | + | 18.6302i | −0.866345 | + | 0.853019i | ||||
\(478\) | −43.5624 | − | 12.7911i | −1.99250 | − | 0.585050i | ||||
\(479\) | 4.87072 | − | 6.83997i | 0.222549 | − | 0.312526i | −0.688173 | − | 0.725547i | \(-0.741587\pi\) |
0.910722 | + | 0.413021i | \(0.135526\pi\) | |||||||
\(480\) | −1.14369 | − | 2.17542i | −0.0522023 | − | 0.0992938i | ||||
\(481\) | 4.21049 | + | 8.16721i | 0.191982 | + | 0.372393i | ||||
\(482\) | −10.3088 | + | 17.8553i | −0.469552 | + | 0.813288i | ||||
\(483\) | 36.0904 | − | 2.47310i | 1.64217 | − | 0.112530i | ||||
\(484\) | −22.6455 | − | 39.2232i | −1.02934 | − | 1.78287i | ||||
\(485\) | 3.78020 | − | 5.88211i | 0.171650 | − | 0.267093i | ||||
\(486\) | 9.47440 | − | 37.8176i | 0.429767 | − | 1.71544i | ||||
\(487\) | 0.765532 | + | 1.67628i | 0.0346896 | + | 0.0759595i | 0.926184 | − | 0.377073i | \(-0.123069\pi\) |
−0.891494 | + | 0.453033i | \(0.850342\pi\) | |||||||
\(488\) | 2.59200 | + | 10.6844i | 0.117334 | + | 0.483659i | ||||
\(489\) | −10.4571 | + | 14.9371i | −0.472884 | + | 0.675480i | ||||
\(490\) | 14.7958 | − | 5.12087i | 0.668405 | − | 0.231337i | ||||
\(491\) | 14.1768 | − | 18.0273i | 0.639791 | − | 0.813560i | −0.352718 | − | 0.935730i | \(-0.614743\pi\) |
0.992509 | + | 0.122169i | \(0.0389851\pi\) | |||||||
\(492\) | −51.7301 | + | 37.4660i | −2.33217 | + | 1.68910i | ||||
\(493\) | −13.2948 | − | 4.60138i | −0.598769 | − | 0.207236i | ||||
\(494\) | 2.45411 | − | 1.57716i | 0.110416 | − | 0.0709598i | ||||
\(495\) | −0.915940 | + | 0.191828i | −0.0411684 | + | 0.00862201i | ||||
\(496\) | 26.3890 | + | 30.4545i | 1.18490 | + | 1.36745i | ||||
\(497\) | 16.6389 | + | 15.8652i | 0.746357 | + | 0.711650i | ||||
\(498\) | −5.81994 | + | 5.12535i | −0.260798 | + | 0.229672i | ||||
\(499\) | 2.85343 | + | 8.24444i | 0.127737 | + | 0.369072i | 0.990676 | − | 0.136235i | \(-0.0435004\pi\) |
−0.862939 | + | 0.505307i | \(0.831379\pi\) | |||||||
\(500\) | 12.5592 | + | 17.6370i | 0.561666 | + | 0.788750i | ||||
\(501\) | −10.8011 | − | 16.5140i | −0.482560 | − | 0.737792i | ||||
\(502\) | 40.6207 | + | 28.9259i | 1.81299 | + | 1.29102i | ||||
\(503\) | 0.731035 | + | 5.08446i | 0.0325952 | + | 0.226705i | 0.999607 | − | 0.0280261i | \(-0.00892216\pi\) |
−0.967012 | + | 0.254731i | \(0.918013\pi\) | |||||||
\(504\) | 29.5273 | − | 67.5021i | 1.31525 | − | 3.00678i | ||||
\(505\) | − | 1.10178i | − | 0.0490286i | ||||||
\(506\) | −6.97064 | − | 1.59692i | −0.309883 | − | 0.0709916i | ||||
\(507\) | −2.55173 | − | 7.18566i | −0.113326 | − | 0.319126i | ||||
\(508\) | −60.9765 | + | 31.4356i | −2.70540 | + | 1.39473i | ||||
\(509\) | −2.51014 | + | 6.27003i | −0.111260 | + | 0.277914i | −0.973540 | − | 0.228518i | \(-0.926612\pi\) |
0.862279 | + | 0.506433i | \(0.169036\pi\) | |||||||
\(510\) | −12.6630 | + | 3.17982i | −0.560728 | + | 0.140805i | ||||
\(511\) | 45.7111 | − | 11.0894i | 2.02214 | − | 0.490565i | ||||
\(512\) | 43.5923 | + | 19.9080i | 1.92653 | + | 0.879815i | ||||
\(513\) | 0.629930 | + | 1.96873i | 0.0278121 | + | 0.0869217i | ||||
\(514\) | 4.12021 | − | 28.6567i | 0.181735 | − | 1.26399i | ||||
\(515\) | −0.482408 | + | 0.505935i | −0.0212574 | + | 0.0222942i | ||||
\(516\) | 55.5662 | − | 32.6785i | 2.44617 | − | 1.43859i | ||||
\(517\) | −5.76281 | + | 0.274516i | −0.253448 | + | 0.0120732i | ||||
\(518\) | −34.0931 | + | 1.62405i | −1.49796 | + | 0.0713568i | ||||
\(519\) | 16.5296 | + | 9.36732i | 0.725569 | + | 0.411180i | ||||
\(520\) | −5.97003 | + | 6.26119i | −0.261803 | + | 0.274571i | ||||
\(521\) | −1.17681 | + | 8.18491i | −0.0515571 | + | 0.358587i | 0.947669 | + | 0.319254i | \(0.103432\pi\) |
−0.999226 | + | 0.0393330i | \(0.987477\pi\) | |||||||
\(522\) | 0.578006 | − | 18.3138i | 0.0252986 | − | 0.801574i | ||||
\(523\) | 28.5892 | + | 13.0563i | 1.25012 | + | 0.570911i | 0.926863 | − | 0.375401i | \(-0.122495\pi\) |
0.323257 | + | 0.946311i | \(0.395222\pi\) | |||||||
\(524\) | −36.1405 | + | 8.76758i | −1.57880 | + | 0.383013i | ||||
\(525\) | −9.76904 | + | 34.2857i | −0.426356 | + | 1.49635i | ||||
\(526\) | 19.0793 | − | 47.6579i | 0.831899 | − | 2.07798i | ||||
\(527\) | 36.8845 | − | 19.0153i | 1.60671 | − | 0.828318i | ||||
\(528\) | −3.74799 | + | 4.39620i | −0.163110 | + | 0.191320i | ||||
\(529\) | 19.0244 | − | 12.9257i | 0.827146 | − | 0.561987i | ||||
\(530\) | 11.5817i | 0.503078i | ||||||||
\(531\) | 1.83079 | + | 16.3887i | 0.0794494 | + | 0.711210i | ||||
\(532\) | 1.04904 | + | 7.29621i | 0.0454815 | + | 0.316331i | ||||
\(533\) | 20.7007 | + | 14.7409i | 0.896649 | + | 0.638501i | ||||
\(534\) | 26.1260 | − | 1.45474i | 1.13058 | − | 0.0629530i | ||||
\(535\) | −2.23469 | − | 3.13818i | −0.0966140 | − | 0.135675i | ||||
\(536\) | 25.5706 | + | 73.8815i | 1.10448 | + | 3.19119i | ||||
\(537\) | −2.54994 | − | 0.859691i | −0.110038 | − | 0.0370984i | ||||
\(538\) | −49.2152 | − | 46.9266i | −2.12182 | − | 2.02315i | ||||
\(539\) | −4.67189 | − | 5.39165i | −0.201232 | − | 0.232235i | ||||
\(540\) | −6.02306 | − | 9.87536i | −0.259191 | − | 0.424968i | ||||
\(541\) | 22.4958 | − | 14.4571i | 0.967168 | − | 0.621561i | 0.0411950 | − | 0.999151i | \(-0.486884\pi\) |
0.925973 | + | 0.377590i | \(0.123247\pi\) | |||||||
\(542\) | 2.03951 | + | 0.705880i | 0.0876044 | + | 0.0303202i | ||||
\(543\) | −1.71249 | − | 16.5310i | −0.0734898 | − | 0.709412i | ||||
\(544\) | −9.65830 | + | 12.2815i | −0.414096 | + | 0.526566i | ||||
\(545\) | 7.90050 | − | 2.73439i | 0.338420 | − | 0.117128i | ||||
\(546\) | −55.1047 | − | 4.81597i | −2.35826 | − | 0.206104i | ||||
\(547\) | −2.74974 | − | 11.3346i | −0.117570 | − | 0.484632i | −0.999902 | − | 0.0140036i | \(-0.995542\pi\) |
0.882331 | − | 0.470629i | \(-0.155973\pi\) | |||||||
\(548\) | 12.8922 | + | 28.2301i | 0.550729 | + | 1.20593i | ||||
\(549\) | 1.73761 | + | 5.58460i | 0.0741594 | + | 0.238345i | ||||
\(550\) | 3.81017 | − | 5.92873i | 0.162466 | − | 0.252802i | ||||
\(551\) | 0.485742 | + | 0.841329i | 0.0206933 | + | 0.0358418i | ||||
\(552\) | −5.42259 | − | 46.5292i | −0.230801 | − | 1.98042i | ||||
\(553\) | −16.5014 | + | 28.5813i | −0.701711 | + | 1.21540i | ||||
\(554\) | −10.7989 | − | 20.9470i | −0.458803 | − | 0.889953i | ||||
\(555\) | −1.51609 | + | 2.40123i | −0.0643543 | + | 0.101926i | ||||
\(556\) | −1.03517 | + | 1.45369i | −0.0439009 | + | 0.0616502i | ||||
\(557\) | −17.0039 | − | 4.99280i | −0.720479 | − | 0.211552i | −0.0991177 | − | 0.995076i | \(-0.531602\pi\) |
−0.621362 | + | 0.783524i | \(0.713420\pi\) | |||||||
\(558\) | 37.9193 | + | 38.5117i | 1.60525 | + | 1.63033i | ||||
\(559\) | −19.3834 | − | 16.7958i | −0.819829 | − | 0.710386i | ||||
\(560\) | −4.73728 | − | 11.8332i | −0.200187 | − | 0.500042i | ||||
\(561\) | 3.48961 | + | 4.81817i | 0.147331 | + | 0.203423i | ||||
\(562\) | −6.67029 | − | 34.6088i | −0.281369 | − | 1.45988i | ||||
\(563\) | −0.0575159 | − | 1.20741i | −0.00242401 | − | 0.0508862i | 0.997331 | − | 0.0730096i | \(-0.0232604\pi\) |
−0.999755 | + | 0.0221234i | \(0.992957\pi\) | |||||||
\(564\) | −27.0346 | − | 65.9895i | −1.13836 | − | 2.77866i | ||||
\(565\) | −2.53632 | + | 7.32823i | −0.106704 | + | 0.308301i | ||||
\(566\) | 30.2148 | − | 8.87187i | 1.27002 | − | 0.372912i | ||||
\(567\) | 13.3919 | − | 36.8358i | 0.562407 | − | 1.54696i | ||||
\(568\) | 19.4958 | − | 22.4994i | 0.818026 | − | 0.944053i | ||||
\(569\) | 6.69076 | − | 0.638891i | 0.280491 | − | 0.0267837i | 0.0461378 | − | 0.998935i | \(-0.485309\pi\) |
0.234354 | + | 0.972151i | \(0.424703\pi\) | |||||||
\(570\) | 0.804638 | + | 0.406680i | 0.0337026 | + | 0.0170340i | ||||
\(571\) | −3.06601 | + | 32.1087i | −0.128309 | + | 1.34371i | 0.670405 | + | 0.741996i | \(0.266120\pi\) |
−0.798713 | + | 0.601712i | \(0.794486\pi\) | |||||||
\(572\) | 6.90559 | + | 2.76458i | 0.288737 | + | 0.115593i | ||||
\(573\) | −3.85951 | + | 16.4854i | −0.161233 | + | 0.688687i | ||||
\(574\) | −81.7506 | + | 47.1987i | −3.41220 | + | 1.97004i | ||||
\(575\) | 5.62518 | + | 21.9573i | 0.234586 | + | 0.915683i | ||||
\(576\) | 12.3465 | + | 4.71435i | 0.514439 | + | 0.196431i | ||||
\(577\) | 26.8568 | + | 17.2598i | 1.11806 | + | 0.718535i | 0.963035 | − | 0.269375i | \(-0.0868171\pi\) |
0.155027 | + | 0.987910i | \(0.450453\pi\) | |||||||
\(578\) | 25.0254 | + | 31.8224i | 1.04092 | + | 1.32364i | ||||
\(579\) | 3.30544 | + | 0.941820i | 0.137369 | + | 0.0391407i | ||||
\(580\) | −3.75154 | − | 3.93451i | −0.155774 | − | 0.163371i | ||||
\(581\) | −6.35083 | + | 4.52240i | −0.263477 | + | 0.187621i | ||||
\(582\) | −8.69841 | − | 57.2345i | −0.360560 | − | 2.37245i | ||||
\(583\) | 4.89927 | − | 1.96137i | 0.202907 | − | 0.0812317i | ||||
\(584\) | −17.1602 | − | 58.4424i | −0.710095 | − | 2.41836i | ||||
\(585\) | −2.95761 | + | 3.52605i | −0.122282 | + | 0.145784i | ||||
\(586\) | 26.3397 | + | 40.9854i | 1.08808 | + | 1.69309i | ||||
\(587\) | 16.0754 | − | 31.1818i | 0.663501 | − | 1.28701i | −0.281380 | − | 0.959597i | \(-0.590792\pi\) |
0.944880 | − | 0.327416i | \(-0.106178\pi\) | |||||||
\(588\) | 43.4771 | − | 76.7198i | 1.79297 | − | 3.16387i | ||||
\(589\) | −2.78477 | − | 0.675578i | −0.114744 | − | 0.0278367i | ||||
\(590\) | 5.65376 | + | 4.44617i | 0.232762 | + | 0.183046i | ||||
\(591\) | −14.5238 | − | 18.1666i | −0.597431 | − | 0.747275i | ||||
\(592\) | 1.66641 | + | 17.4514i | 0.0684890 | + | 0.717249i | ||||
\(593\) | 9.21620 | − | 31.3875i | 0.378464 | − | 1.28893i | −0.521606 | − | 0.853186i | \(-0.674667\pi\) |
0.900071 | − | 0.435744i | \(-0.143515\pi\) | |||||||
\(594\) | −4.64160 | + | 6.20399i | −0.190447 | + | 0.254553i | ||||
\(595\) | −12.9923 | + | 1.86801i | −0.532632 | + | 0.0765810i | ||||
\(596\) | −1.10493 | + | 23.1953i | −0.0452597 | + | 0.950117i | ||||
\(597\) | 0.0512849 | − | 0.278081i | 0.00209895 | − | 0.0113811i | ||||
\(598\) | −31.8013 | + | 15.0178i | −1.30045 | + | 0.614124i | ||||
\(599\) | 38.4469 | + | 22.1973i | 1.57090 | + | 0.906958i | 0.996059 | + | 0.0886914i | \(0.0282685\pi\) |
0.574839 | + | 0.818267i | \(0.305065\pi\) | |||||||
\(600\) | 44.9493 | + | 10.5234i | 1.83505 | + | 0.429615i | ||||
\(601\) | −22.2700 | + | 17.5134i | −0.908414 | + | 0.714384i | −0.958721 | − | 0.284349i | \(-0.908222\pi\) |
0.0503070 | + | 0.998734i | \(0.483980\pi\) | |||||||
\(602\) | 86.6609 | − | 39.5767i | 3.53203 | − | 1.61303i | ||||
\(603\) | 16.0753 | + | 38.3582i | 0.654636 | + | 1.56207i | ||||
\(604\) | −19.1460 | + | 41.9238i | −0.779038 | + | 1.70586i | ||||
\(605\) | −5.46847 | − | 1.05396i | −0.222325 | − | 0.0428496i | ||||
\(606\) | −6.02898 | − | 6.84603i | −0.244910 | − | 0.278101i | ||||
\(607\) | 1.62415 | − | 6.69484i | 0.0659222 | − | 0.271735i | −0.929306 | − | 0.369311i | \(-0.879594\pi\) |
0.995228 | + | 0.0975760i | \(0.0311089\pi\) | |||||||
\(608\) | 1.05941 | − | 0.204185i | 0.0429649 | − | 0.00828080i | ||||
\(609\) | 2.47516 | − | 18.2538i | 0.100299 | − | 0.739681i | ||||
\(610\) | 2.26739 | + | 1.16892i | 0.0918040 | + | 0.0473283i | ||||
\(611\) | −21.4429 | + | 18.5804i | −0.867488 | + | 0.751683i | ||||
\(612\) | −41.6876 | + | 60.5765i | −1.68512 | + | 2.44866i | ||||
\(613\) | 24.5204 | + | 3.52551i | 0.990371 | + | 0.142394i | 0.618411 | − | 0.785855i | \(-0.287777\pi\) |
0.371960 | + | 0.928249i | \(0.378686\pi\) | |||||||
\(614\) | −10.0311 | + | 52.0465i | −0.404824 | + | 2.10043i | ||||
\(615\) | −0.683802 | + | 7.82412i | −0.0275736 | + | 0.315499i | ||||
\(616\) | −10.5974 | + | 10.1046i | −0.426983 | + | 0.407127i | ||||
\(617\) | −0.111496 | − | 0.0106466i | −0.00448866 | − | 0.000428615i | 0.0928115 | − | 0.995684i | \(-0.470415\pi\) |
−0.0973001 | + | 0.995255i | \(0.531021\pi\) | |||||||
\(618\) | −0.229001 | + | 5.78343i | −0.00921175 | + | 0.232644i | ||||
\(619\) | 12.5768 | + | 0.599106i | 0.505503 | + | 0.0240801i | 0.298785 | − | 0.954320i | \(-0.403419\pi\) |
0.206718 | + | 0.978401i | \(0.433722\pi\) | |||||||
\(620\) | 16.0355 | 0.644002 | ||||||||
\(621\) | −4.45323 | − | 24.5187i | −0.178702 | − | 0.983903i | ||||
\(622\) | 56.3114 | 2.25788 | ||||||||
\(623\) | 26.2765 | + | 1.25170i | 1.05274 | + | 0.0501484i | ||||
\(624\) | −1.12407 | + | 28.3886i | −0.0449990 | + | 1.13645i | ||||
\(625\) | −20.8741 | − | 1.99323i | −0.834962 | − | 0.0797292i | ||||
\(626\) | 35.0964 | − | 33.4643i | 1.40273 | − | 1.33750i | ||||
\(627\) | 0.0357669 | − | 0.409248i | 0.00142839 | − | 0.0163438i | ||||
\(628\) | −7.38313 | + | 38.3073i | −0.294619 | + | 1.52863i | ||||
\(629\) | 17.8693 | + | 2.56922i | 0.712496 | + | 0.102441i | ||||
\(630\) | −7.35025 | − | 15.4344i | −0.292841 | − | 0.614920i | ||||
\(631\) | −36.0765 | + | 31.2605i | −1.43618 | + | 1.24446i | −0.513955 | + | 0.857817i | \(0.671820\pi\) |
−0.922229 | + | 0.386644i | \(0.873634\pi\) | |||||||
\(632\) | 37.9856 | + | 19.5830i | 1.51099 | + | 0.778968i | ||||
\(633\) | −5.35157 | + | 39.4667i | −0.212706 | + | 1.56866i | ||||
\(634\) | 32.0791 | − | 6.18273i | 1.27402 | − | 0.245548i | ||||
\(635\) | −1.98876 | + | 8.19780i | −0.0789217 | + | 0.325320i | ||||
\(636\) | 43.1111 | + | 48.9536i | 1.70947 | + | 1.94114i | ||||
\(637\) | −34.4511 | − | 6.63991i | −1.36500 | − | 0.263083i | ||||
\(638\) | −1.51274 | + | 3.31243i | −0.0598898 | + | 0.131140i | ||||
\(639\) | 9.58896 | − | 12.6045i | 0.379333 | − | 0.498627i | ||||
\(640\) | 7.82489 | − | 3.57351i | 0.309306 | − | 0.141255i | ||||
\(641\) | 11.3548 | − | 8.92952i | 0.448488 | − | 0.352695i | −0.368227 | − | 0.929736i | \(-0.620035\pi\) |
0.816715 | + | 0.577041i | \(0.195793\pi\) | |||||||
\(642\) | −31.0577 | − | 7.27112i | −1.22575 | − | 0.286968i | ||||
\(643\) | 13.2461 | + | 7.64763i | 0.522375 | + | 0.301593i | 0.737906 | − | 0.674904i | \(-0.235815\pi\) |
−0.215531 | + | 0.976497i | \(0.569148\pi\) | |||||||
\(644\) | −1.13690 | − | 88.8584i | −0.0448001 | − | 3.50151i | ||||
\(645\) | 1.43761 | − | 7.79510i | 0.0566057 | − | 0.306932i | ||||
\(646\) | 0.272714 | − | 5.72497i | 0.0107298 | − | 0.225246i | ||||
\(647\) | −0.717557 | + | 0.103169i | −0.0282101 | + | 0.00405600i | −0.156405 | − | 0.987693i | \(-0.549991\pi\) |
0.128195 | + | 0.991749i | \(0.459082\pi\) | |||||||
\(648\) | −48.4709 | − | 15.0523i | −1.90412 | − | 0.591310i | ||||
\(649\) | 0.923338 | − | 3.14460i | 0.0362442 | − | 0.123436i | ||||
\(650\) | −3.29454 | − | 34.5020i | −0.129222 | − | 1.35328i | ||||
\(651\) | 33.9294 | + | 42.4395i | 1.32980 | + | 1.66333i | ||||
\(652\) | 35.2089 | + | 27.6886i | 1.37889 | + | 1.08437i | ||||
\(653\) | −7.45164 | − | 1.80775i | −0.291605 | − | 0.0707427i | 0.0872878 | − | 0.996183i | \(-0.472180\pi\) |
−0.378893 | + | 0.925440i | \(0.623695\pi\) | |||||||
\(654\) | 34.1279 | − | 60.2222i | 1.33451 | − | 2.35487i | ||||
\(655\) | −2.09539 | + | 4.06449i | −0.0818738 | + | 0.158813i | ||||
\(656\) | 26.2127 | + | 40.7878i | 1.02344 | + | 1.59250i | ||||
\(657\) | −11.0878 | − | 30.4462i | −0.432577 | − | 1.18782i | ||||
\(658\) | −29.6927 | − | 101.124i | −1.15754 | − | 3.94222i | ||||
\(659\) | 3.55657 | − | 1.42384i | 0.138544 | − | 0.0554647i | −0.301354 | − | 0.953512i | \(-0.597439\pi\) |
0.439898 | + | 0.898048i | \(0.355014\pi\) | |||||||
\(660\) | 0.345412 | + | 2.27277i | 0.0134451 | + | 0.0884675i | ||||
\(661\) | −31.4065 | + | 22.3644i | −1.22157 | + | 0.869876i | −0.994575 | − | 0.104020i | \(-0.966829\pi\) |
−0.226995 | + | 0.973896i | \(0.572890\pi\) | |||||||
\(662\) | −4.10550 | − | 4.30572i | −0.159565 | − | 0.167347i | ||||
\(663\) | 28.1373 | + | 8.01718i | 1.09276 | + | 0.311362i | ||||
\(664\) | 6.24088 | + | 7.93593i | 0.242193 | + | 0.307974i | ||||
\(665\) | 0.762502 | + | 0.490031i | 0.0295686 | + | 0.0190026i | ||||
\(666\) | 3.71922 | + | 23.2163i | 0.144117 | + | 0.899614i | ||||
\(667\) | −4.49163 | − | 10.8164i | −0.173917 | − | 0.418813i | ||||
\(668\) | −41.9799 | + | 24.2371i | −1.62425 | + | 0.937763i | ||||
\(669\) | −4.51444 | + | 19.2828i | −0.174538 | + | 0.745518i | ||||
\(670\) | 16.8408 | + | 6.74202i | 0.650615 | + | 0.260467i | ||||
\(671\) | 0.110490 | − | 1.15710i | 0.00426542 | − | 0.0446695i | ||||
\(672\) | −18.2583 | − | 9.22810i | −0.704328 | − | 0.355982i | ||||
\(673\) | −49.6563 | + | 4.74160i | −1.91411 | + | 0.182775i | −0.983207 | − | 0.182495i | \(-0.941583\pi\) |
−0.930902 | + | 0.365270i | \(0.880977\pi\) | |||||||
\(674\) | 5.43035 | − | 6.26696i | 0.209169 | − | 0.241394i | ||||
\(675\) | 24.2195 | + | 4.06589i | 0.932210 | + | 0.156496i | ||||
\(676\) | −17.9731 | + | 5.27739i | −0.691274 | + | 0.202976i | ||||
\(677\) | 11.9841 | − | 34.6257i | 0.460585 | − | 1.33077i | −0.440742 | − | 0.897634i | \(-0.645285\pi\) |
0.901327 | − | 0.433139i | \(-0.142594\pi\) | |||||||
\(678\) | 24.3406 | + | 59.4135i | 0.934794 | + | 2.28176i | ||||
\(679\) | −2.76931 | − | 58.1351i | −0.106277 | − | 2.23102i | ||||
\(680\) | 3.21673 | + | 16.6900i | 0.123356 | + | 0.640032i | ||||
\(681\) | −25.3516 | − | 35.0035i | −0.971476 | − | 1.34134i | ||||
\(682\) | −3.99210 | − | 9.97179i | −0.152866 | − | 0.381840i | ||||
\(683\) | 1.35289 | + | 1.17229i | 0.0517669 | + | 0.0448563i | 0.680360 | − | 0.732878i | \(-0.261823\pi\) |
−0.628593 | + | 0.777734i | \(0.716369\pi\) | |||||||
\(684\) | 4.91485 | − | 1.27618i | 0.187924 | − | 0.0487961i | ||||
\(685\) | 3.66152 | + | 1.07512i | 0.139899 | + | 0.0410782i | ||||
\(686\) | 31.3718 | − | 44.0556i | 1.19778 | − | 1.68205i | ||||
\(687\) | 13.5388 | − | 21.4432i | 0.516537 | − | 0.818108i | ||||
\(688\) | −22.4223 | − | 43.4933i | −0.854844 | − | 1.65817i | ||||
\(689\) | 12.9766 | − | 22.4761i | 0.494369 | − | 0.856272i | ||||
\(690\) | −8.98303 | − | 6.11902i | −0.341978 | − | 0.232947i | ||||
\(691\) | −18.2990 | − | 31.6948i | −0.696127 | − | 1.20573i | −0.969799 | − | 0.243905i | \(-0.921572\pi\) |
0.273672 | − | 0.961823i | \(-0.411762\pi\) | |||||||
\(692\) | 25.2332 | − | 39.2637i | 0.959223 | − | 1.49258i | ||||
\(693\) | −5.28424 | + | 5.72310i | −0.200732 | + | 0.217403i | ||||
\(694\) | −10.3304 | − | 22.6204i | −0.392137 | − | 0.858659i | ||||
\(695\) | 0.0517347 | + | 0.213253i | 0.00196241 | + | 0.00808917i | ||||
\(696\) | −23.7631 | − | 2.07682i | −0.900740 | − | 0.0787217i | ||||
\(697\) | 47.1829 | − | 16.3302i | 1.78718 | − | 0.618549i | ||||
\(698\) | −11.1471 | + | 14.1747i | −0.421924 | + | 0.536519i | ||||
\(699\) | 1.59033 | + | 15.3518i | 0.0601519 | + | 0.580659i | ||||
\(700\) | 82.7601 | + | 28.6436i | 3.12804 | + | 1.08262i | ||||
\(701\) | 10.6538 | − | 6.84679i | 0.402389 | − | 0.258600i | −0.323757 | − | 0.946140i | \(-0.604946\pi\) |
0.726146 | + | 0.687541i | \(0.241310\pi\) | |||||||
\(702\) | 0.917234 | + | 38.0936i | 0.0346188 | + | 1.43775i | ||||
\(703\) | −0.816366 | − | 0.942137i | −0.0307898 | − | 0.0355334i | ||||
\(704\) | −1.90092 | − | 1.81253i | −0.0716437 | − | 0.0683121i | ||||
\(705\) | −8.30926 | − | 2.80140i | −0.312945 | − | 0.105507i | ||||
\(706\) | −1.52256 | − | 4.39914i | −0.0573023 | − | 0.165564i | ||||
\(707\) | −5.31973 | − | 7.47052i | −0.200069 | − | 0.280958i | ||||
\(708\) | 40.4475 | − | 2.25219i | 1.52011 | − | 0.0846426i | ||||
\(709\) | −38.8800 | − | 27.6863i | −1.46017 | − | 1.03978i | −0.987338 | − | 0.158629i | \(-0.949293\pi\) |
−0.472831 | − | 0.881153i | \(-0.656768\pi\) | |||||||
\(710\) | −0.983062 | − | 6.83735i | −0.0368937 | − | 0.256601i | ||||
\(711\) | 20.8291 | + | 9.11122i | 0.781152 | + | 0.341697i | ||||
\(712\) | − | 34.0648i | − | 1.27663i | ||||||
\(713\) | 32.2333 | + | 12.4282i | 1.20714 | + | 0.465439i | ||||
\(714\) | −70.5072 | + | 82.7013i | −2.63866 | + | 3.09502i | ||||
\(715\) | 0.812972 | − | 0.419116i | 0.0304034 | − | 0.0156741i | ||||
\(716\) | −2.45686 | + | 6.13695i | −0.0918173 | + | 0.229349i | ||||
\(717\) | −8.61608 | + | 30.2393i | −0.321773 | + | 1.12931i | ||||
\(718\) | −18.9946 | + | 4.60803i | −0.708871 | + | 0.171970i | ||||
\(719\) | −14.7801 | − | 6.74982i | −0.551203 | − | 0.251726i | 0.120288 | − | 0.992739i | \(-0.461618\pi\) |
−0.671491 | + | 0.741013i | \(0.734346\pi\) | |||||||
\(720\) | −7.73882 | + | 4.14817i | −0.288409 | + | 0.154593i | ||||
\(721\) | −0.828114 | + | 5.75966i | −0.0308406 | + | 0.214501i | ||||
\(722\) | 32.5184 | − | 34.1043i | 1.21021 | − | 1.26923i | ||||
\(723\) | 12.4226 | + | 7.03989i | 0.462002 | + | 0.261816i | ||||
\(724\) | −40.7803 | + | 1.94260i | −1.51559 | + | 0.0721963i | ||||
\(725\) | 11.5290 | − | 0.549194i | 0.428176 | − | 0.0203965i | ||||
\(726\) | −39.7462 | + | 23.3747i | −1.47512 | + | 0.867518i | ||||
\(727\) | −33.4783 | + | 35.1110i | −1.24164 | + | 1.30219i | −0.304809 | + | 0.952414i | \(0.598593\pi\) |
−0.936831 | + | 0.349781i | \(0.886256\pi\) | |||||||
\(728\) | −10.2483 | + | 71.2785i | −0.379827 | + | 2.64176i | ||||
\(729\) | −26.2424 | − | 6.35112i | −0.971941 | − | 0.235227i | ||||
\(730\) | −12.8555 | − | 5.87093i | −0.475805 | − | 0.217293i | ||||
\(731\) | −48.9702 | + | 11.8800i | −1.81123 | + | 0.439399i | ||||
\(732\) | 13.9349 | − | 3.49922i | 0.515050 | − | 0.129335i | ||||
\(733\) | −8.46951 | + | 21.1558i | −0.312828 | + | 0.781407i | 0.685736 | + | 0.727850i | \(0.259480\pi\) |
−0.998565 | + | 0.0535575i | \(0.982944\pi\) | |||||||
\(734\) | −19.4824 | + | 10.0439i | −0.719109 | + | 0.370726i | ||||
\(735\) | −3.62857 | − | 10.2180i | −0.133842 | − | 0.376898i | ||||
\(736\) | −12.9833 | + | 0.785066i | −0.478572 | + | 0.0289379i | ||||
\(737\) | − | 8.26570i | − | 0.304471i | ||||||
\(738\) | 38.5649 | + | 52.3577i | 1.41959 | + | 1.92731i | ||||
\(739\) | −4.62534 | − | 32.1699i | −0.170146 | − | 1.18339i | −0.878574 | − | 0.477607i | \(-0.841504\pi\) |
0.708428 | − | 0.705783i | \(-0.249405\pi\) | |||||||
\(740\) | 5.68255 | + | 4.04653i | 0.208895 | + | 0.148753i | ||||
\(741\) | −1.10587 | − | 1.69077i | −0.0406250 | − | 0.0621121i | ||||
\(742\) | 55.9200 | + | 78.5287i | 2.05289 | + | 2.88288i | ||||
\(743\) | −6.73344 | − | 19.4550i | −0.247026 | − | 0.713734i | −0.998540 | − | 0.0540174i | \(-0.982797\pi\) |
0.751514 | − | 0.659717i | \(-0.229324\pi\) | |||||||
\(744\) | 52.8034 | − | 46.5015i | 1.93587 | − | 1.70483i | ||||
\(745\) | 2.06655 | + | 1.97045i | 0.0757124 | + | 0.0721916i | ||||
\(746\) | −22.1091 | − | 25.5153i | −0.809473 | − | 0.934182i | ||||
\(747\) | 3.58179 | + | 4.00199i | 0.131051 | + | 0.146425i | ||||
\(748\) | 12.2944 | − | 7.90111i | 0.449526 | − | 0.288893i | ||||
\(749\) | −30.3042 | − | 10.4884i | −1.10729 | − | 0.383237i | ||||
\(750\) | 17.8527 | − | 12.9300i | 0.651890 | − | 0.472138i | ||||
\(751\) | 1.34091 | − | 1.70510i | 0.0489304 | − | 0.0622200i | −0.760972 | − | 0.648785i | \(-0.775278\pi\) |
0.809902 | + | 0.586565i | \(0.199520\pi\) | |||||||
\(752\) | −51.1550 | + | 17.7049i | −1.86543 | + | 0.645632i | ||||
\(753\) | 19.8062 | − | 28.2917i | 0.721779 | − | 1.03101i | ||||
\(754\) | 4.22211 | + | 17.4038i | 0.153760 | + | 0.633808i | ||||
\(755\) | 2.35424 | + | 5.15507i | 0.0856796 | + | 0.187612i | ||||
\(756\) | −88.5200 | − | 37.8778i | −3.21944 | − | 1.37760i | ||||
\(757\) | 6.88308 | − | 10.7103i | 0.250170 | − | 0.389272i | −0.693343 | − | 0.720608i | \(-0.743863\pi\) |
0.943513 | + | 0.331336i | \(0.107499\pi\) | |||||||
\(758\) | −35.7874 | − | 61.9856i | −1.29986 | − | 2.25142i | ||||
\(759\) | −1.06717 | + | 4.83624i | −0.0387359 | + | 0.175544i | ||||
\(760\) | 0.586856 | − | 1.01646i | 0.0212875 | − | 0.0368710i | ||||
\(761\) | −23.9743 | − | 46.5036i | −0.869067 | − | 1.68576i | −0.716643 | − | 0.697440i | \(-0.754322\pi\) |
−0.152425 | − | 0.988315i | \(-0.548708\pi\) | |||||||
\(762\) | 32.5012 | + | 61.8204i | 1.17739 | + | 2.23952i | ||||
\(763\) | 40.3661 | − | 56.6863i | 1.46135 | − | 2.05218i | ||||
\(764\) | 39.9075 | + | 11.7179i | 1.44380 | + | 0.423938i | ||||
\(765\) | 2.27249 | + | 8.75182i | 0.0821620 | + | 0.316423i | ||||
\(766\) | 33.1966 | + | 28.7650i | 1.19944 | + | 1.03932i | ||||
\(767\) | −5.99035 | − | 14.9632i | −0.216299 | − | 0.540289i | ||||
\(768\) | 22.8386 | − | 51.0905i | 0.824116 | − | 1.84357i | ||||
\(769\) | 0.650327 | + | 3.37422i | 0.0234514 | + | 0.121677i | 0.991768 | − | 0.128049i | \(-0.0408714\pi\) |
−0.968316 | + | 0.249726i | \(0.919659\pi\) | |||||||
\(770\) | 0.161660 | + | 3.39366i | 0.00582582 | + | 0.122299i | ||||
\(771\) | −19.8685 | − | 2.69410i | −0.715545 | − | 0.0970258i | ||||
\(772\) | 2.76149 | − | 7.97880i | 0.0993881 | − | 0.287163i | ||||
\(773\) | 10.7609 | − | 3.15969i | 0.387043 | − | 0.113646i | −0.0824211 | − | 0.996598i | \(-0.526265\pi\) |
0.469464 | + | 0.882951i | \(0.344447\pi\) | |||||||
\(774\) | −33.7223 | − | 56.3023i | −1.21212 | − | 2.02374i | ||||
\(775\) | −22.2948 | + | 25.7296i | −0.800854 | + | 0.924235i | ||||
\(776\) | −75.0250 | + | 7.16402i | −2.69324 | + | 0.257173i | ||||
\(777\) | 1.31417 | + | 23.6014i | 0.0471456 | + | 0.846695i | ||||
\(778\) | 0.871317 | − | 9.12485i | 0.0312382 | − | 0.327142i | ||||
\(779\) | −3.20079 | − | 1.28140i | −0.114680 | − | 0.0459111i | ||||
\(780\) | 8.24460 | + | 7.73585i | 0.295204 | + | 0.276988i | ||||
\(781\) | −2.72584 | + | 1.57376i | −0.0975381 | + | 0.0563136i | ||||
\(782\) | −12.2076 | + | 68.0100i | −0.436543 | + | 2.43203i | ||||
\(783\) | −12.6861 | − | 0.298509i | −0.453363 | − | 0.0106678i | ||||
\(784\) | −56.3118 | − | 36.1894i | −2.01114 | − | 1.29248i | ||||
\(785\) | 2.96535 | + | 3.77074i | 0.105838 | + | 0.134584i | ||||
\(786\) | 9.22109 | + | 36.7212i | 0.328906 | + | 1.30980i | ||||
\(787\) | −12.8684 | − | 13.4960i | −0.458710 | − | 0.481081i | 0.453236 | − | 0.891390i | \(-0.350269\pi\) |
−0.911947 | + | 0.410309i | \(0.865421\pi\) | |||||||
\(788\) | −46.5418 | + | 33.1423i | −1.65798 | + | 1.18064i | ||||
\(789\) | −33.1105 | − | 12.9481i | −1.17876 | − | 0.460966i | ||||
\(790\) | 9.20569 | − | 3.68540i | 0.327524 | − | 0.131121i | ||||
\(791\) | 18.1856 | + | 61.9345i | 0.646606 | + | 2.20214i | ||||
\(792\) | 7.72822 | + | 6.48235i | 0.274610 | + | 0.230340i | ||||
\(793\) | −3.09052 | − | 4.80895i | −0.109748 | − | 0.170771i | ||||
\(794\) | −26.2005 | + | 50.8219i | −0.929821 | + | 1.80360i | ||||
\(795\) | 8.02067 | − | 0.0643639i | 0.284464 | − | 0.00228275i | ||||
\(796\) | −0.675060 | − | 0.163768i | −0.0239269 | − | 0.00580460i | ||||
\(797\) | 26.9448 | + | 21.1896i | 0.954434 | + | 0.750575i | 0.968419 | − | 0.249327i | \(-0.0802094\pi\) |
−0.0139852 | + | 0.999902i | \(0.504452\pi\) | |||||||
\(798\) | 7.41935 | − | 1.12758i | 0.262642 | − | 0.0399159i | ||||
\(799\) | 5.29888 | + | 55.4924i | 0.187461 | + | 1.96318i | ||||
\(800\) | 3.61136 | − | 12.2992i | 0.127681 | − | 0.434841i | ||||
\(801\) | −1.15264 | − | 18.0849i | −0.0407267 | − | 0.638998i | ||||
\(802\) | −48.8139 | + | 7.01837i | −1.72368 | + | 0.247827i | ||||
\(803\) | −0.306411 | + | 6.43236i | −0.0108130 | + | 0.226993i | ||||
\(804\) | 96.2786 | − | 34.1899i | 3.39548 | − | 1.20579i | ||||
\(805\) | −8.34908 | − | 7.04954i | −0.294266 | − | 0.248464i | ||||
\(806\) | −45.7471 | − | 26.4121i | −1.61137 | − | 0.930327i | ||||
\(807\) | −32.2245 | + | 34.3437i | −1.13436 | + | 1.20896i | ||||
\(808\) | −9.33508 | + | 7.34119i | −0.328407 | + | 0.258262i | ||||
\(809\) | −50.1100 | + | 22.8845i | −1.76177 | + | 0.804576i | −0.777282 | + | 0.629153i | \(0.783402\pi\) |
−0.984493 | + | 0.175423i | \(0.943871\pi\) | |||||||
\(810\) | −10.0044 | + | 6.21246i | −0.351519 | + | 0.218284i | ||||
\(811\) | 1.43024 | − | 3.13178i | 0.0502224 | − | 0.109972i | −0.882857 | − | 0.469641i | \(-0.844383\pi\) |
0.933080 | + | 0.359669i | \(0.117111\pi\) | |||||||
\(812\) | −44.4340 | − | 8.56394i | −1.55933 | − | 0.300536i | ||||
\(813\) | 0.477508 | − | 1.41634i | 0.0167469 | − | 0.0496732i | ||||
\(814\) | 1.10167 | − | 4.54113i | 0.0386134 | − | 0.159167i | ||||
\(815\) | 5.40821 | − | 1.04235i | 0.189441 | − | 0.0365119i | ||||
\(816\) | 44.1522 | + | 34.1519i | 1.54564 | + | 1.19555i | ||||
\(817\) | 3.09283 | + | 1.59447i | 0.108204 | + | 0.0557833i | ||||
\(818\) | −20.9630 | + | 18.1645i | −0.732953 | + | 0.635107i | ||||
\(819\) | −3.02896 | + | 38.1883i | −0.105840 | + | 1.33441i | ||||
\(820\) | 19.0972 | + | 2.74577i | 0.666904 | + | 0.0958863i | ||||
\(821\) | −6.47408 | + | 33.5907i | −0.225947 | + | 1.17232i | 0.674807 | + | 0.737994i | \(0.264227\pi\) |
−0.900754 | + | 0.434330i | \(0.856985\pi\) | |||||||
\(822\) | 28.6343 | − | 13.3556i | 0.998736 | − | 0.465829i | ||||
\(823\) | 7.19169 | − | 6.85727i | 0.250687 | − | 0.239029i | −0.554308 | − | 0.832312i | \(-0.687017\pi\) |
0.804994 | + | 0.593283i | \(0.202168\pi\) | |||||||
\(824\) | 7.50094 | + | 0.716253i | 0.261308 | + | 0.0249519i | ||||
\(825\) | −4.12699 | − | 2.60570i | −0.143683 | − | 0.0907188i | ||||
\(826\) | 59.8022 | + | 2.84873i | 2.08079 | + | 0.0991201i | ||||
\(827\) | −46.4867 | −1.61650 | −0.808251 | − | 0.588838i | \(-0.799585\pi\) | ||||
−0.808251 | + | 0.588838i | \(0.799585\pi\) | |||||||
\(828\) | −60.7466 | + | 7.57406i | −2.11109 | + | 0.263217i | ||||
\(829\) | 31.3410 | 1.08852 | 0.544259 | − | 0.838918i | \(-0.316811\pi\) | ||||
0.544259 | + | 0.838918i | \(0.316811\pi\) | |||||||
\(830\) | 2.33987 | + | 0.111462i | 0.0812181 | + | 0.00386889i | ||||
\(831\) | −14.4464 | + | 7.59498i | −0.501140 | + | 0.263467i | ||||
\(832\) | −12.8586 | − | 1.22785i | −0.445792 | − | 0.0425680i | ||||
\(833\) | −49.8885 | + | 47.5686i | −1.72854 | + | 1.64816i | ||||
\(834\) | 1.48839 | + | 1.04198i | 0.0515387 | + | 0.0360808i | ||||
\(835\) | −1.12804 | + | 5.85282i | −0.0390374 | + | 0.202545i | ||||
\(836\) | −0.998898 | − | 0.143620i | −0.0345476 | − | 0.00496719i | ||||
\(837\) | 26.4597 | − | 26.4742i | 0.914581 | − | 0.915082i | ||||
\(838\) | −24.2770 | + | 21.0361i | −0.838634 | + | 0.726680i | ||||
\(839\) | 39.2566 | + | 20.2382i | 1.35529 | + | 0.698699i | 0.974167 | − | 0.225827i | \(-0.0725083\pi\) |
0.381120 | + | 0.924526i | \(0.375539\pi\) | |||||||
\(840\) | −20.5941 | + | 8.43702i | −0.710566 | + | 0.291105i | ||||
\(841\) | 22.6198 | − | 4.35961i | 0.779994 | − | 0.150331i | ||||
\(842\) | 5.17754 | − | 21.3421i | 0.178430 | − | 0.735498i | ||||
\(843\) | −23.9305 | + | 4.81170i | −0.824209 | + | 0.165724i | ||||
\(844\) | 96.0711 | + | 18.5162i | 3.30690 | + | 0.637353i | ||||
\(845\) | −0.956836 | + | 2.09518i | −0.0329162 | + | 0.0720764i | ||||
\(846\) | −66.9598 | + | 28.0617i | −2.30213 | + | 0.964782i | ||||
\(847\) | −42.1673 | + | 19.2572i | −1.44889 | + | 0.661684i | ||||
\(848\) | 38.9217 | − | 30.6084i | 1.33658 | − | 1.05110i | ||||
\(849\) | −6.31193 | − | 20.8753i | −0.216625 | − | 0.716438i | ||||
\(850\) | −58.9717 | − | 34.0474i | −2.02271 | − | 1.16781i | ||||
\(851\) | 8.28636 | + | 12.5382i | 0.284053 | + | 0.429804i | ||||
\(852\) | −29.6062 | − | 25.2408i | −1.01429 | − | 0.864735i | ||||
\(853\) | 0.304560 | − | 6.39349i | 0.0104279 | − | 0.218909i | −0.987638 | − | 0.156750i | \(-0.949898\pi\) |
0.998066 | − | 0.0621592i | \(-0.0197986\pi\) | |||||||
\(854\) | 21.0177 | − | 3.02190i | 0.719212 | − | 0.103407i | ||||
\(855\) | 0.277166 | − | 0.559495i | 0.00947887 | − | 0.0191343i | ||||
\(856\) | −11.6991 | + | 39.8436i | −0.399868 | + | 1.36183i | ||||
\(857\) | −2.03901 | − | 21.3535i | −0.0696512 | − | 0.729420i | −0.961082 | − | 0.276263i | \(-0.910904\pi\) |
0.891431 | − | 0.453157i | \(-0.149702\pi\) | |||||||
\(858\) | 2.75807 | − | 7.05283i | 0.0941589 | − | 0.240780i | ||||
\(859\) | −6.28930 | − | 4.94596i | −0.214588 | − | 0.168754i | 0.505079 | − | 0.863073i | \(-0.331463\pi\) |
−0.719667 | + | 0.694319i | \(0.755706\pi\) | |||||||
\(860\) | −18.9231 | − | 4.59070i | −0.645273 | − | 0.156541i | ||||
\(861\) | 33.1408 | + | 56.3523i | 1.12943 | + | 1.92048i | ||||
\(862\) | 29.3641 | − | 56.9583i | 1.00014 | − | 1.94001i | ||||
\(863\) | 0.961258 | + | 1.49575i | 0.0327216 | + | 0.0509158i | 0.857229 | − | 0.514935i | \(-0.172184\pi\) |
−0.824507 | + | 0.565851i | \(0.808548\pi\) | |||||||
\(864\) | −4.92131 | + | 13.2056i | −0.167426 | + | 0.449263i | ||||
\(865\) | −1.61687 | − | 5.50655i | −0.0549752 | − | 0.187228i | ||||
\(866\) | 33.4488 | − | 13.3909i | 1.13664 | − | 0.455041i | ||||
\(867\) | 21.8989 | − | 17.5077i | 0.743724 | − | 0.594592i | ||||
\(868\) | 108.727 | − | 77.4244i | 3.69044 | − | 2.62795i | ||||
\(869\) | −3.11798 | − | 3.27004i | −0.105770 | − | 0.110929i | ||||
\(870\) | −3.97488 | + | 3.85141i | −0.134761 | + | 0.130575i | ||||
\(871\) | −25.1281 | − | 31.9530i | −0.851433 | − | 1.08269i | ||||
\(872\) | −75.8089 | − | 48.7194i | −2.56721 | − | 1.64985i | ||||
\(873\) | −39.5882 | + | 6.34196i | −1.33986 | + | 0.214643i | ||||
\(874\) | 3.71251 | − | 2.99721i | 0.125578 | − | 0.101382i | ||||
\(875\) | 19.1920 | − | 11.0805i | 0.648809 | − | 0.374590i | ||||
\(876\) | −76.1913 | + | 23.0375i | −2.57427 | + | 0.778365i | ||||
\(877\) | −18.0502 | − | 7.22621i | −0.609512 | − | 0.244012i | 0.0463105 | − | 0.998927i | \(-0.485254\pi\) |
−0.655822 | + | 0.754915i | \(0.727678\pi\) | |||||||
\(878\) | −7.18595 | + | 75.2547i | −0.242514 | + | 2.53972i | ||||
\(879\) | 28.2371 | − | 18.4688i | 0.952415 | − | 0.622936i | ||||
\(880\) | 1.73713 | − | 0.165876i | 0.0585587 | − | 0.00559168i | ||||
\(881\) | 34.5173 | − | 39.8351i | 1.16292 | − | 1.34208i | 0.233803 | − | 0.972284i | \(-0.424883\pi\) |
0.929114 | − | 0.369793i | \(-0.120571\pi\) | |||||||
\(882\) | −78.4598 | − | 43.6351i | −2.64188 | − | 1.46927i | ||||
\(883\) | 22.9400 | − | 6.73580i | 0.771994 | − | 0.226678i | 0.128068 | − | 0.991765i | \(-0.459123\pi\) |
0.643926 | + | 0.765088i | \(0.277304\pi\) | |||||||
\(884\) | 23.5070 | − | 67.9190i | 0.790625 | − | 2.28436i | ||||
\(885\) | 3.04768 | − | 3.94010i | 0.102447 | − | 0.132445i | ||||
\(886\) | 2.39709 | + | 50.3210i | 0.0805317 | + | 1.69057i | ||||
\(887\) | −2.27832 | − | 11.8211i | −0.0764985 | − | 0.396912i | −0.999914 | − | 0.0131104i | \(-0.995827\pi\) |
0.923416 | − | 0.383802i | \(-0.125385\pi\) | |||||||
\(888\) | 30.4466 | − | 3.15404i | 1.02172 | − | 0.105843i | ||||
\(889\) | 26.0968 | + | 65.1867i | 0.875259 | + | 2.18629i | ||||
\(890\) | −5.97341 | − | 5.17599i | −0.200229 | − | 0.173499i | ||||
\(891\) | 4.32223 | + | 3.17996i | 0.144800 | + | 0.106533i | ||||
\(892\) | 46.6795 | + | 13.7063i | 1.56294 | + | 0.458922i | ||||
\(893\) | 2.23285 | − | 3.13560i | 0.0747196 | − | 0.104929i | ||||
\(894\) | 23.6230 | + | 0.935377i | 0.790073 | + | 0.0312837i | ||||
\(895\) | 0.372466 | + | 0.722482i | 0.0124502 | + | 0.0241499i | ||||
\(896\) | 35.8019 | − | 62.0108i | 1.19606 | − | 2.07163i | ||||
\(897\) | 10.5770 | + | 21.9399i | 0.353155 | + | 0.732551i | ||||
\(898\) | −17.7857 | − | 30.8058i | −0.593517 | − | 1.02800i | ||||
\(899\) | 9.51066 | − | 14.7989i | 0.317198 | − | 0.493570i | ||||
\(900\) | 13.2804 | − | 58.8491i | 0.442679 | − | 1.96164i | ||||
\(901\) | −21.1822 | − | 46.3826i | −0.705682 | − | 1.54523i | ||||
\(902\) | −3.04685 | − | 12.5593i | −0.101449 | − | 0.418179i | ||||
\(903\) | −27.8896 | − | 59.7952i | −0.928107 | − | 1.98986i | ||||
\(904\) | 78.9896 | − | 27.3386i | 2.62715 | − | 0.909267i | ||||
\(905\) | −3.10324 | + | 3.94610i | −0.103155 | + | 0.131173i | ||||
\(906\) | 42.8370 | + | 19.1491i | 1.42316 | + | 0.636185i | ||||
\(907\) | 28.1871 | + | 9.75567i | 0.935939 | + | 0.323932i | 0.752118 | − | 0.659028i | \(-0.229032\pi\) |
0.183821 | + | 0.982960i | \(0.441153\pi\) | |||||||
\(908\) | −89.3171 | + | 57.4006i | −2.96409 | + | 1.90491i | ||||
\(909\) | −4.70756 | + | 4.21328i | −0.156140 | + | 0.139746i | ||||
\(910\) | 10.9418 | + | 12.6275i | 0.362717 | + | 0.418598i | ||||
\(911\) | −11.2492 | − | 10.7261i | −0.372702 | − | 0.355371i | 0.480460 | − | 0.877017i | \(-0.340470\pi\) |
−0.853162 | + | 0.521646i | \(0.825318\pi\) | |||||||
\(912\) | −0.759816 | − | 3.77887i | −0.0251600 | − | 0.125131i | ||||
\(913\) | −0.349108 | − | 1.00868i | −0.0115538 | − | 0.0333825i | ||||
\(914\) | 19.2617 | + | 27.0493i | 0.637121 | + | 0.894711i | ||||
\(915\) | 0.796911 | − | 1.57673i | 0.0263451 | − | 0.0521251i | ||||
\(916\) | −50.7457 | − | 36.1359i | −1.67669 | − | 1.19396i | ||||
\(917\) | 5.41700 | + | 37.6761i | 0.178885 | + | 1.24417i | ||||
\(918\) | 62.0106 | + | 41.9452i | 2.04665 | + | 1.38440i | ||||
\(919\) | 14.2557i | 0.470251i | 0.971965 | + | 0.235125i | \(0.0755501\pi\) | ||||
−0.971965 | + | 0.235125i | \(0.924450\pi\) | |||||||
\(920\) | −8.60390 | + | 11.2336i | −0.283662 | + | 0.370361i | ||||
\(921\) | 36.0994 | + | 6.65761i | 1.18952 | + | 0.219376i | ||||
\(922\) | −16.7566 | + | 8.63861i | −0.551848 | + | 0.284498i | ||||
\(923\) | −5.75304 | + | 14.3704i | −0.189364 | + | 0.473008i | ||||
\(924\) | 13.3157 | + | 13.7425i | 0.438053 | + | 0.452097i | ||||
\(925\) | −14.3935 | + | 3.49182i | −0.473255 | + | 0.114810i | ||||
\(926\) | 42.4006 | + | 19.3637i | 1.39337 | + | 0.636331i | ||||
\(927\) | 4.00646 | + | 0.126449i | 0.131589 | + | 0.00415312i | ||||
\(928\) | −0.942606 | + | 6.55597i | −0.0309425 | + | 0.215210i | ||||
\(929\) | −22.2959 | + | 23.3832i | −0.731504 | + | 0.767179i | −0.979470 | − | 0.201590i | \(-0.935389\pi\) |
0.247966 | + | 0.968769i | \(0.420238\pi\) | |||||||
\(930\) | −0.131004 | − | 16.3250i | −0.00429579 | − | 0.535317i | ||||
\(931\) | 4.75461 | − | 0.226490i | 0.155826 | − | 0.00742291i | ||||
\(932\) | 37.8714 | − | 1.80404i | 1.24052 | − | 0.0590931i | ||||
\(933\) | −0.312943 | − | 38.9972i | −0.0102453 | − | 1.27671i | ||||
\(934\) | 14.1990 | − | 14.8915i | 0.464606 | − | 0.487265i | ||||
\(935\) | 0.255742 | − | 1.77873i | 0.00836367 | − | 0.0581706i | ||||
\(936\) | 49.5819 | + | 1.56486i | 1.62063 | + | 0.0511491i | ||||
\(937\) | −33.2017 | − | 15.1627i | −1.08465 | − | 0.495343i | −0.208816 | − | 0.977955i | \(-0.566961\pi\) |
−0.875835 | + | 0.482612i | \(0.839688\pi\) | |||||||
\(938\) | 146.740 | − | 35.5987i | 4.79122 | − | 1.16234i | ||||
\(939\) | −23.3700 | − | 24.1192i | −0.762652 | − | 0.787102i | ||||
\(940\) | −8.00597 | + | 19.9980i | −0.261126 | + | 0.652261i | ||||
\(941\) | −37.8252 | + | 19.5003i | −1.23307 | + | 0.635690i | −0.946603 | − | 0.322401i | \(-0.895510\pi\) |
−0.286464 | + | 0.958091i | \(0.592480\pi\) | |||||||
\(942\) | 39.0591 | + | 7.20344i | 1.27261 | + | 0.234701i | ||||
\(943\) | 36.2596 | + | 20.3204i | 1.18077 | + | 0.661724i | ||||
\(944\) | − | 30.7506i | − | 1.00085i | ||||||
\(945\) | −10.6479 | + | 5.17603i | −0.346376 | + | 0.168376i | ||||
\(946\) | 1.85623 | + | 12.9103i | 0.0603511 | + | 0.419751i | ||||
\(947\) | 42.8896 | + | 30.5415i | 1.39372 | + | 0.992467i | 0.997226 | + | 0.0744316i | \(0.0237142\pi\) |
0.396499 | + | 0.918035i | \(0.370225\pi\) | |||||||
\(948\) | 25.1923 | − | 49.8442i | 0.818207 | − | 1.61886i | ||||
\(949\) | 18.3702 | + | 25.7973i | 0.596321 | + | 0.837415i | ||||
\(950\) | 1.53793 | + | 4.44355i | 0.0498970 | + | 0.144168i | ||||
\(951\) | −4.45999 | − | 22.1813i | −0.144625 | − | 0.719278i | ||||
\(952\) | 102.395 | + | 97.6335i | 3.31864 | + | 3.16432i | ||||
\(953\) | −9.64413 | − | 11.1299i | −0.312404 | − | 0.360533i | 0.577734 | − | 0.816225i | \(-0.303937\pi\) |
−0.890137 | + | 0.455692i | \(0.849392\pi\) | |||||||
\(954\) | 49.4850 | − | 44.2892i | 1.60214 | − | 1.43392i | ||||
\(955\) | 4.30242 | − | 2.76500i | 0.139223 | − | 0.0894732i | ||||
\(956\) | 72.9926 | + | 25.2630i | 2.36075 | + | 0.817064i | ||||
\(957\) | 2.30236 | + | 1.02920i | 0.0744247 | + | 0.0332695i | ||||
\(958\) | −12.9817 | + | 16.5076i | −0.419420 | + | 0.533336i | ||||
\(959\) | 30.0176 | − | 10.3892i | 0.969318 | − | 0.335484i | ||||
\(960\) | −1.68745 | − | 3.61789i | −0.0544623 | − | 0.116767i | ||||
\(961\) | 4.92472 | + | 20.3000i | 0.158862 | + | 0.654838i | ||||
\(962\) | −9.54649 | − | 20.9039i | −0.307791 | − | 0.673969i | ||||
\(963\) | −4.86286 | + | 21.5487i | −0.156703 | + | 0.694398i | ||||
\(964\) | 18.9637 | − | 29.5081i | 0.610780 | − | 0.950392i | ||||
\(965\) | −0.519097 | − | 0.899103i | −0.0167103 | − | 0.0289431i | ||||
\(966\) | −90.4531 | + | 1.88336i | −2.91028 | + | 0.0605961i | ||||
\(967\) | 18.1163 | − | 31.3784i | 0.582581 | − | 1.00906i | −0.412591 | − | 0.910916i | \(-0.635376\pi\) |
0.995172 | − | 0.0981438i | \(-0.0312905\pi\) | |||||||
\(968\) | 27.5066 | + | 53.3554i | 0.884096 | + | 1.71491i | ||||
\(969\) | −3.96622 | − | 0.157046i | −0.127413 | − | 0.00504505i | ||||
\(970\) | −10.1435 | + | 14.2445i | −0.325687 | + | 0.457363i | ||||
\(971\) | −50.2911 | − | 14.7668i | −1.61392 | − | 0.473890i | −0.654545 | − | 0.756023i | \(-0.727140\pi\) |
−0.959375 | + | 0.282134i | \(0.908958\pi\) | |||||||
\(972\) | −19.1617 | + | 63.4987i | −0.614613 | + | 2.03672i | ||||
\(973\) | 1.38043 | + | 1.19615i | 0.0442547 | + | 0.0383469i | ||||
\(974\) | −1.71293 | − | 4.27868i | −0.0548857 | − | 0.137098i | ||||
\(975\) | −23.8753 | + | 2.47330i | −0.764621 | + | 0.0792090i | ||||
\(976\) | −2.06401 | − | 10.7091i | −0.0660673 | − | 0.342790i | ||||
\(977\) | −1.58305 | − | 33.2323i | −0.0506462 | − | 1.06319i | −0.870983 | − | 0.491313i | \(-0.836517\pi\) |
0.820337 | − | 0.571881i | \(-0.193786\pi\) | |||||||
\(978\) | 27.9007 | − | 36.0706i | 0.892167 | − | 1.15341i | ||||
\(979\) | −1.17793 | + | 3.40341i | −0.0376469 | + | 0.108774i | ||||
\(980\) | −25.5579 | + | 7.50446i | −0.816416 | + | 0.239721i | ||||
\(981\) | −41.8952 | − | 23.2999i | −1.33761 | − | 0.743907i | ||||
\(982\) | −37.5610 | + | 43.3477i | −1.19862 | + | 1.38328i | ||||
\(983\) | 3.93667 | − | 0.375906i | 0.125560 | − | 0.0119895i | −0.0320867 | − | 0.999485i | \(-0.510215\pi\) |
0.157647 | + | 0.987496i | \(0.449609\pi\) | |||||||
\(984\) | 70.8477 | − | 46.3386i | 2.25854 | − | 1.47722i | ||||
\(985\) | −0.667828 | + | 6.99381i | −0.0212788 | + | 0.222841i | ||||
\(986\) | 32.6648 | + | 13.0770i | 1.04026 | + | 0.416457i | ||||
\(987\) | −69.8662 | + | 21.1250i | −2.22386 | + | 0.672416i | ||||
\(988\) | −4.29808 | + | 2.48150i | −0.136740 | + | 0.0789470i | ||||
\(989\) | −34.4797 | − | 23.8940i | −1.09639 | − | 0.759786i | ||||
\(990\) | 2.31097 | − | 0.370215i | 0.0734476 | − | 0.0117662i | ||||
\(991\) | 28.0445 | + | 18.0231i | 0.890863 | + | 0.572523i | 0.904067 | − | 0.427390i | \(-0.140567\pi\) |
−0.0132042 | + | 0.999913i | \(0.504203\pi\) | |||||||
\(992\) | −12.0768 | − | 15.3569i | −0.383439 | − | 0.487582i | ||||
\(993\) | −2.95902 | + | 2.86710i | −0.0939016 | + | 0.0909847i | ||||
\(994\) | −39.6783 | − | 41.6135i | −1.25852 | − | 1.31990i | ||||
\(995\) | −0.0695770 | + | 0.0495456i | −0.00220574 | + | 0.00157070i | ||||
\(996\) | 10.3051 | − | 8.23867i | 0.326528 | − | 0.261052i | ||||
\(997\) | −20.9678 | + | 8.39423i | −0.664056 | + | 0.265848i | −0.679108 | − | 0.734039i | \(-0.737633\pi\) |
0.0150513 | + | 0.999887i | \(0.495209\pi\) | |||||||
\(998\) | −6.14717 | − | 20.9353i | −0.194585 | − | 0.662697i | ||||
\(999\) | 16.0573 | − | 2.70469i | 0.508030 | − | 0.0855725i |
(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 | 207.2.o.a.113.2 | yes | 440 | |
3.2 | odd | 2 | 621.2.s.a.44.21 | 440 | |||
9.2 | odd | 6 | inner | 207.2.o.a.182.2 | yes | 440 | |
9.7 | even | 3 | 621.2.s.a.251.21 | 440 | |||
23.11 | odd | 22 | inner | 207.2.o.a.149.2 | yes | 440 | |
69.11 | even | 22 | 621.2.s.a.287.21 | 440 | |||
207.11 | even | 66 | inner | 207.2.o.a.11.2 | ✓ | 440 | |
207.34 | odd | 66 | 621.2.s.a.494.21 | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
207.2.o.a.11.2 | ✓ | 440 | 207.11 | even | 66 | inner | |
207.2.o.a.113.2 | yes | 440 | 1.1 | even | 1 | trivial | |
207.2.o.a.149.2 | yes | 440 | 23.11 | odd | 22 | inner | |
207.2.o.a.182.2 | yes | 440 | 9.2 | odd | 6 | inner | |
621.2.s.a.44.21 | 440 | 3.2 | odd | 2 | |||
621.2.s.a.251.21 | 440 | 9.7 | even | 3 | |||
621.2.s.a.287.21 | 440 | 69.11 | even | 22 | |||
621.2.s.a.494.21 | 440 | 207.34 | odd | 66 |