Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 108.14 | ||
Character | \(\chi\) | \(=\) | 175.108 |
Dual form | 175.2.x.a.47.14 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0712442 | + | 1.35942i | 0.0503772 | + | 0.961255i | 0.900550 | + | 0.434752i | \(0.143164\pi\) |
−0.850173 | + | 0.526503i | \(0.823503\pi\) | |||||||
\(3\) | −0.508971 | − | 0.412156i | −0.293854 | − | 0.237959i | 0.471044 | − | 0.882110i | \(-0.343877\pi\) |
−0.764898 | + | 0.644151i | \(0.777211\pi\) | |||||||
\(4\) | 0.146098 | − | 0.0153555i | 0.0730488 | − | 0.00767773i | ||||
\(5\) | 2.05291 | − | 0.886307i | 0.918091 | − | 0.396369i | ||||
\(6\) | 0.524032 | − | 0.721269i | 0.213935 | − | 0.294457i | ||||
\(7\) | 1.38618 | − | 2.25355i | 0.523928 | − | 0.851763i | ||||
\(8\) | 0.457187 | + | 2.88657i | 0.161640 | + | 1.02055i | ||||
\(9\) | −0.534557 | − | 2.51489i | −0.178186 | − | 0.838297i | ||||
\(10\) | 1.35112 | + | 2.72763i | 0.427262 | + | 0.862552i | ||||
\(11\) | −3.52517 | − | 0.749298i | −1.06288 | − | 0.225922i | −0.356891 | − | 0.934146i | \(-0.616163\pi\) |
−0.705988 | + | 0.708224i | \(0.749497\pi\) | |||||||
\(12\) | −0.0806882 | − | 0.0523996i | −0.0232927 | − | 0.0151264i | ||||
\(13\) | 3.11121 | + | 6.10609i | 0.862894 | + | 1.69352i | 0.708730 | + | 0.705480i | \(0.249268\pi\) |
0.154164 | + | 0.988045i | \(0.450732\pi\) | |||||||
\(14\) | 3.16228 | + | 1.72385i | 0.845155 | + | 0.460719i | ||||
\(15\) | −1.41017 | − | 0.395017i | −0.364105 | − | 0.101993i | ||||
\(16\) | −3.60410 | + | 0.766075i | −0.901024 | + | 0.191519i | ||||
\(17\) | −0.931067 | − | 0.357403i | −0.225817 | − | 0.0866830i | 0.242829 | − | 0.970069i | \(-0.421925\pi\) |
−0.468646 | + | 0.883386i | \(0.655258\pi\) | |||||||
\(18\) | 3.38071 | − | 0.905858i | 0.796841 | − | 0.213513i | ||||
\(19\) | −0.467578 | + | 4.44871i | −0.107270 | + | 1.02060i | 0.799984 | + | 0.600021i | \(0.204841\pi\) |
−0.907254 | + | 0.420583i | \(0.861825\pi\) | |||||||
\(20\) | 0.286316 | − | 0.161011i | 0.0640222 | − | 0.0360031i | ||||
\(21\) | −1.63434 | + | 0.575668i | −0.356643 | + | 0.125621i | ||||
\(22\) | 0.767463 | − | 4.84557i | 0.163624 | − | 1.03308i | ||||
\(23\) | −3.95372 | + | 0.207206i | −0.824409 | + | 0.0432054i | −0.459874 | − | 0.887984i | \(-0.652105\pi\) |
−0.364535 | + | 0.931190i | \(0.618772\pi\) | |||||||
\(24\) | 0.957022 | − | 1.65761i | 0.195351 | − | 0.338358i | ||||
\(25\) | 3.42892 | − | 3.63903i | 0.685784 | − | 0.727805i | ||||
\(26\) | −8.07908 | + | 4.66446i | −1.58444 | + | 0.914776i | ||||
\(27\) | −1.65644 | + | 3.25095i | −0.318782 | + | 0.625646i | ||||
\(28\) | 0.167914 | − | 0.350524i | 0.0317327 | − | 0.0662428i | ||||
\(29\) | −4.04983 | − | 5.57411i | −0.752034 | − | 1.03509i | −0.997835 | − | 0.0657661i | \(-0.979051\pi\) |
0.245801 | − | 0.969320i | \(-0.420949\pi\) | |||||||
\(30\) | 0.436528 | − | 1.94516i | 0.0796987 | − | 0.355135i | ||||
\(31\) | −2.51836 | − | 5.65634i | −0.452312 | − | 1.01591i | −0.985463 | − | 0.169889i | \(-0.945659\pi\) |
0.533152 | − | 0.846020i | \(-0.321008\pi\) | |||||||
\(32\) | 0.214634 | + | 0.801024i | 0.0379422 | + | 0.141602i | ||||
\(33\) | 1.48538 | + | 1.83429i | 0.258572 | + | 0.319310i | ||||
\(34\) | 0.419528 | − | 1.29117i | 0.0719484 | − | 0.221434i | ||||
\(35\) | 0.848377 | − | 5.85493i | 0.143402 | − | 0.989665i | ||||
\(36\) | −0.116715 | − | 0.359211i | −0.0194525 | − | 0.0598685i | ||||
\(37\) | −1.65200 | + | 2.54385i | −0.271587 | + | 0.418207i | −0.947978 | − | 0.318336i | \(-0.896876\pi\) |
0.676391 | + | 0.736542i | \(0.263543\pi\) | |||||||
\(38\) | −6.08098 | − | 0.318691i | −0.986465 | − | 0.0516984i | ||||
\(39\) | 0.933150 | − | 4.39013i | 0.149424 | − | 0.702983i | ||||
\(40\) | 3.49695 | + | 5.52066i | 0.552916 | + | 0.872894i | ||||
\(41\) | 5.72350 | + | 1.85968i | 0.893861 | + | 0.290433i | 0.719701 | − | 0.694285i | \(-0.244279\pi\) |
0.174160 | + | 0.984717i | \(0.444279\pi\) | |||||||
\(42\) | −0.899011 | − | 2.18074i | −0.138720 | − | 0.336496i | ||||
\(43\) | 3.08766 | + | 3.08766i | 0.470863 | + | 0.470863i | 0.902194 | − | 0.431331i | \(-0.141956\pi\) |
−0.431331 | + | 0.902194i | \(0.641956\pi\) | |||||||
\(44\) | −0.526525 | − | 0.0553400i | −0.0793766 | − | 0.00834282i | ||||
\(45\) | −3.32637 | − | 4.68908i | −0.495865 | − | 0.699006i | ||||
\(46\) | −0.563360 | − | 5.36001i | −0.0830628 | − | 0.790290i | ||||
\(47\) | −1.75279 | − | 4.56618i | −0.255671 | − | 0.666046i | 0.744327 | − | 0.667815i | \(-0.232770\pi\) |
−0.999998 | + | 0.00176869i | \(0.999437\pi\) | |||||||
\(48\) | 2.15012 | + | 1.09554i | 0.310344 | + | 0.158128i | ||||
\(49\) | −3.15699 | − | 6.24767i | −0.450999 | − | 0.892525i | ||||
\(50\) | 5.19126 | + | 4.40208i | 0.734154 | + | 0.622548i | ||||
\(51\) | 0.326580 | + | 0.565653i | 0.0457303 | + | 0.0792072i | ||||
\(52\) | 0.548302 | + | 0.844311i | 0.0760358 | + | 0.117085i | ||||
\(53\) | −5.55763 | + | 6.86310i | −0.763399 | + | 0.942719i | −0.999580 | − | 0.0289903i | \(-0.990771\pi\) |
0.236181 | + | 0.971709i | \(0.424104\pi\) | |||||||
\(54\) | −4.53742 | − | 2.02019i | −0.617464 | − | 0.274913i | ||||
\(55\) | −7.90099 | + | 1.58614i | −1.06537 | + | 0.213875i | ||||
\(56\) | 7.13877 | + | 2.97101i | 0.953958 | + | 0.397018i | ||||
\(57\) | 2.07155 | − | 2.07155i | 0.274383 | − | 0.274383i | ||||
\(58\) | 7.28903 | − | 5.90254i | 0.957097 | − | 0.775042i | ||||
\(59\) | 1.85136 | + | 2.05614i | 0.241027 | + | 0.267687i | 0.851506 | − | 0.524345i | \(-0.175690\pi\) |
−0.610479 | + | 0.792032i | \(0.709023\pi\) | |||||||
\(60\) | −0.212088 | − | 0.0360572i | −0.0273805 | − | 0.00465497i | ||||
\(61\) | 2.72091 | + | 2.44992i | 0.348377 | + | 0.313680i | 0.824678 | − | 0.565602i | \(-0.191356\pi\) |
−0.476301 | + | 0.879282i | \(0.658023\pi\) | |||||||
\(62\) | 7.50992 | − | 3.82650i | 0.953761 | − | 0.485965i | ||||
\(63\) | −6.40843 | − | 2.28145i | −0.807387 | − | 0.287436i | ||||
\(64\) | −8.08219 | + | 2.62606i | −1.01027 | + | 0.328258i | ||||
\(65\) | 11.7989 | + | 9.77780i | 1.46348 | + | 1.21279i | ||||
\(66\) | −2.38775 | + | 2.14994i | −0.293912 | + | 0.264639i | ||||
\(67\) | 5.05490 | − | 13.1685i | 0.617554 | − | 1.60878i | −0.165065 | − | 0.986283i | \(-0.552783\pi\) |
0.782619 | − | 0.622501i | \(-0.213883\pi\) | |||||||
\(68\) | −0.141515 | − | 0.0379187i | −0.0171612 | − | 0.00459832i | ||||
\(69\) | 2.09773 | + | 1.52409i | 0.252537 | + | 0.183479i | ||||
\(70\) | 8.01976 | + | 0.736170i | 0.958544 | + | 0.0879891i | ||||
\(71\) | −7.11767 | + | 5.17129i | −0.844711 | + | 0.613719i | −0.923683 | − | 0.383158i | \(-0.874836\pi\) |
0.0789713 | + | 0.996877i | \(0.474836\pi\) | |||||||
\(72\) | 7.01501 | − | 2.69281i | 0.826726 | − | 0.317351i | ||||
\(73\) | −4.33954 | + | 2.81813i | −0.507905 | + | 0.329837i | −0.773022 | − | 0.634379i | \(-0.781256\pi\) |
0.265118 | + | 0.964216i | \(0.414589\pi\) | |||||||
\(74\) | −3.57586 | − | 2.06452i | −0.415685 | − | 0.239996i | ||||
\(75\) | −3.24507 | + | 0.438908i | −0.374708 | + | 0.0506807i | ||||
\(76\) | 0.657126i | 0.0753775i | ||||||||
\(77\) | −6.57512 | + | 6.90549i | −0.749304 | + | 0.786954i | ||||
\(78\) | 6.03451 | + | 0.955772i | 0.683273 | + | 0.108220i | ||||
\(79\) | −0.406571 | + | 0.913173i | −0.0457428 | + | 0.102740i | −0.934971 | − | 0.354723i | \(-0.884575\pi\) |
0.889229 | + | 0.457463i | \(0.151242\pi\) | |||||||
\(80\) | −6.71993 | + | 4.76702i | −0.751311 | + | 0.532970i | ||||
\(81\) | −4.86340 | + | 2.16533i | −0.540378 | + | 0.240592i | ||||
\(82\) | −2.12032 | + | 7.91313i | −0.234150 | + | 0.873859i | ||||
\(83\) | −13.6728 | + | 2.16555i | −1.50078 | + | 0.237700i | −0.852108 | − | 0.523366i | \(-0.824676\pi\) |
−0.648674 | + | 0.761067i | \(0.724676\pi\) | |||||||
\(84\) | −0.229934 | + | 0.109200i | −0.0250878 | + | 0.0119147i | ||||
\(85\) | −2.22817 | + | 0.0914934i | −0.241679 | + | 0.00992386i | ||||
\(86\) | −3.97744 | + | 4.41740i | −0.428899 | + | 0.476340i | ||||
\(87\) | −0.236161 | + | 4.50622i | −0.0253191 | + | 0.483118i | ||||
\(88\) | 0.551236 | − | 10.5182i | 0.0587620 | − | 1.12124i | ||||
\(89\) | 1.15288 | − | 1.28040i | 0.122205 | − | 0.135722i | −0.678938 | − | 0.734196i | \(-0.737559\pi\) |
0.801142 | + | 0.598474i | \(0.204226\pi\) | |||||||
\(90\) | 6.13744 | − | 4.85600i | 0.646943 | − | 0.511867i | ||||
\(91\) | 18.0731 | + | 1.45289i | 1.89458 | + | 0.152304i | ||||
\(92\) | −0.574448 | + | 0.0909836i | −0.0598903 | + | 0.00948569i | ||||
\(93\) | −1.04952 | + | 3.91687i | −0.108830 | + | 0.406161i | ||||
\(94\) | 6.08249 | − | 2.70810i | 0.627360 | − | 0.279319i | ||||
\(95\) | 2.98303 | + | 9.54724i | 0.306052 | + | 0.979527i | ||||
\(96\) | 0.220905 | − | 0.496160i | 0.0225460 | − | 0.0506391i | ||||
\(97\) | 13.1356 | + | 2.08048i | 1.33372 | + | 0.211240i | 0.782255 | − | 0.622958i | \(-0.214069\pi\) |
0.551464 | + | 0.834198i | \(0.314069\pi\) | |||||||
\(98\) | 8.26829 | − | 4.73679i | 0.835224 | − | 0.478488i | ||||
\(99\) | 9.26597i | 0.931265i | ||||||||
\(100\) | 0.445078 | − | 0.584306i | 0.0445078 | − | 0.0584306i | ||||
\(101\) | 7.91198 | + | 4.56798i | 0.787271 | + | 0.454531i | 0.839001 | − | 0.544130i | \(-0.183140\pi\) |
−0.0517297 | + | 0.998661i | \(0.516473\pi\) | |||||||
\(102\) | −0.745693 | + | 0.484259i | −0.0738346 | + | 0.0479487i | ||||
\(103\) | 5.86959 | − | 2.25312i | 0.578347 | − | 0.222007i | −0.0515693 | − | 0.998669i | \(-0.516422\pi\) |
0.629917 | + | 0.776663i | \(0.283089\pi\) | |||||||
\(104\) | −16.2032 | + | 11.7723i | −1.58886 | + | 1.15437i | ||||
\(105\) | −2.84495 | + | 2.63033i | −0.277638 | + | 0.256694i | ||||
\(106\) | −9.72578 | − | 7.06619i | −0.944651 | − | 0.686329i | ||||
\(107\) | −6.62424 | − | 1.77496i | −0.640389 | − | 0.171592i | −0.0760096 | − | 0.997107i | \(-0.524218\pi\) |
−0.564380 | + | 0.825515i | \(0.690885\pi\) | |||||||
\(108\) | −0.192082 | + | 0.500391i | −0.0184831 | + | 0.0481502i | ||||
\(109\) | 9.51892 | − | 8.57087i | 0.911747 | − | 0.820940i | −0.0725677 | − | 0.997363i | \(-0.523119\pi\) |
0.984314 | + | 0.176423i | \(0.0564527\pi\) | |||||||
\(110\) | −2.71913 | − | 10.6278i | −0.259259 | − | 1.01332i | ||||
\(111\) | 1.88928 | − | 0.613866i | 0.179323 | − | 0.0582655i | ||||
\(112\) | −3.26955 | + | 9.18394i | −0.308944 | + | 0.867801i | ||||
\(113\) | 8.69911 | − | 4.43242i | 0.818343 | − | 0.416967i | 0.00588239 | − | 0.999983i | \(-0.498128\pi\) |
0.812461 | + | 0.583016i | \(0.198128\pi\) | |||||||
\(114\) | 2.96369 | + | 2.66852i | 0.277575 | + | 0.249930i | ||||
\(115\) | −7.93301 | + | 3.92959i | −0.739757 | + | 0.366436i | ||||
\(116\) | −0.677263 | − | 0.752177i | −0.0628823 | − | 0.0698379i | ||||
\(117\) | 13.6930 | − | 11.0884i | 1.26592 | − | 1.02512i | ||||
\(118\) | −2.66326 | + | 2.66326i | −0.245173 | + | 0.245173i | ||||
\(119\) | −2.09606 | + | 1.60278i | −0.192145 | + | 0.146927i | ||||
\(120\) | 0.495532 | − | 4.25115i | 0.0452356 | − | 0.388075i | ||||
\(121\) | 1.81639 | + | 0.808709i | 0.165126 | + | 0.0735190i | ||||
\(122\) | −3.13662 | + | 3.87341i | −0.283976 | + | 0.350682i | ||||
\(123\) | −2.14662 | − | 3.30550i | −0.193554 | − | 0.298047i | ||||
\(124\) | −0.454783 | − | 0.787707i | −0.0408407 | − | 0.0707381i | ||||
\(125\) | 3.81398 | − | 10.5097i | 0.341133 | − | 0.940015i | ||||
\(126\) | 2.64488 | − | 8.87429i | 0.235625 | − | 0.790584i | ||||
\(127\) | −4.29960 | − | 2.19076i | −0.381528 | − | 0.194398i | 0.252699 | − | 0.967545i | \(-0.418682\pi\) |
−0.634227 | + | 0.773147i | \(0.718682\pi\) | |||||||
\(128\) | −3.55136 | − | 9.25160i | −0.313898 | − | 0.817733i | ||||
\(129\) | −0.298930 | − | 2.84413i | −0.0263193 | − | 0.250411i | ||||
\(130\) | −12.4515 | + | 16.7363i | −1.09207 | + | 1.46787i | ||||
\(131\) | 12.0485 | + | 1.26635i | 1.05268 | + | 0.110641i | 0.615030 | − | 0.788504i | \(-0.289144\pi\) |
0.437651 | + | 0.899145i | \(0.355810\pi\) | |||||||
\(132\) | 0.245177 | + | 0.245177i | 0.0213399 | + | 0.0213399i | ||||
\(133\) | 9.37725 | + | 7.22044i | 0.813111 | + | 0.626092i | ||||
\(134\) | 18.2616 | + | 5.93355i | 1.57756 | + | 0.512581i | ||||
\(135\) | −0.519192 | + | 8.14204i | −0.0446850 | + | 0.700755i | ||||
\(136\) | 0.605996 | − | 2.85098i | 0.0519637 | − | 0.244470i | ||||
\(137\) | 5.85847 | + | 0.307030i | 0.500523 | + | 0.0262313i | 0.300928 | − | 0.953647i | \(-0.402704\pi\) |
0.199596 | + | 0.979878i | \(0.436037\pi\) | |||||||
\(138\) | −1.92243 | + | 2.96028i | −0.163648 | + | 0.251996i | ||||
\(139\) | −2.24141 | − | 6.89834i | −0.190114 | − | 0.585110i | 0.809885 | − | 0.586588i | \(-0.199529\pi\) |
−0.999999 | + | 0.00147871i | \(0.999529\pi\) | |||||||
\(140\) | 0.0340405 | − | 0.868419i | 0.00287694 | − | 0.0733948i | ||||
\(141\) | −0.989861 | + | 3.04648i | −0.0833614 | + | 0.256560i | ||||
\(142\) | −7.53704 | − | 9.30747i | −0.632494 | − | 0.781066i | ||||
\(143\) | −6.39226 | − | 23.8562i | −0.534548 | − | 1.99496i | ||||
\(144\) | 3.85319 | + | 8.65440i | 0.321099 | + | 0.721200i | ||||
\(145\) | −13.2543 | − | 7.85378i | −1.10071 | − | 0.652221i | ||||
\(146\) | −4.14019 | − | 5.69848i | −0.342644 | − | 0.471610i | ||||
\(147\) | −0.968202 | + | 4.48106i | −0.0798559 | + | 0.369591i | ||||
\(148\) | −0.202291 | + | 0.397018i | −0.0166282 | + | 0.0326347i | ||||
\(149\) | 9.32624 | − | 5.38451i | 0.764035 | − | 0.441116i | −0.0667075 | − | 0.997773i | \(-0.521249\pi\) |
0.830743 | + | 0.556657i | \(0.187916\pi\) | |||||||
\(150\) | −0.827852 | − | 4.38014i | −0.0675939 | − | 0.357637i | ||||
\(151\) | −0.720397 | + | 1.24776i | −0.0586251 | + | 0.101542i | −0.893848 | − | 0.448369i | \(-0.852005\pi\) |
0.835223 | + | 0.549911i | \(0.185338\pi\) | |||||||
\(152\) | −13.0553 | + | 0.684198i | −1.05892 | + | 0.0554957i | ||||
\(153\) | −0.401122 | + | 2.53258i | −0.0324288 | + | 0.204747i | ||||
\(154\) | −9.85590 | − | 8.44637i | −0.794211 | − | 0.680628i | ||||
\(155\) | −10.1832 | − | 9.37994i | −0.817938 | − | 0.753415i | ||||
\(156\) | 0.0689185 | − | 0.655716i | 0.00551790 | − | 0.0524993i | ||||
\(157\) | −14.6975 | + | 3.93818i | −1.17299 | + | 0.314301i | −0.792141 | − | 0.610338i | \(-0.791034\pi\) |
−0.380846 | + | 0.924639i | \(0.624367\pi\) | |||||||
\(158\) | −1.27035 | − | 0.487642i | −0.101064 | − | 0.0387947i | ||||
\(159\) | 5.65734 | − | 1.20250i | 0.448656 | − | 0.0953648i | ||||
\(160\) | 1.15058 | + | 1.45420i | 0.0909611 | + | 0.114965i | ||||
\(161\) | −5.01364 | + | 9.19715i | −0.395130 | + | 0.724837i | ||||
\(162\) | −3.29008 | − | 6.45714i | −0.258493 | − | 0.507321i | ||||
\(163\) | 12.7778 | + | 8.29798i | 1.00083 | + | 0.649948i | 0.937478 | − | 0.348044i | \(-0.113154\pi\) |
0.0633532 | + | 0.997991i | \(0.479821\pi\) | |||||||
\(164\) | 0.864745 | + | 0.183807i | 0.0675253 | + | 0.0143529i | ||||
\(165\) | 4.67511 | + | 2.44914i | 0.363957 | + | 0.190666i | ||||
\(166\) | −3.91800 | − | 18.4327i | −0.304096 | − | 1.43066i | ||||
\(167\) | 0.913290 | + | 5.76628i | 0.0706725 | + | 0.446208i | 0.997497 | + | 0.0707130i | \(0.0225274\pi\) |
−0.926824 | + | 0.375495i | \(0.877473\pi\) | |||||||
\(168\) | −2.40890 | − | 4.45445i | −0.185851 | − | 0.343668i | ||||
\(169\) | −19.9635 | + | 27.4774i | −1.53566 | + | 2.11365i | ||||
\(170\) | −0.283122 | − | 3.02250i | −0.0217145 | − | 0.231815i | ||||
\(171\) | 11.4380 | − | 1.20218i | 0.874684 | − | 0.0919330i | ||||
\(172\) | 0.498512 | + | 0.403687i | 0.0380111 | + | 0.0307808i | ||||
\(173\) | −0.0427033 | − | 0.814828i | −0.00324667 | − | 0.0619502i | 0.996526 | − | 0.0832859i | \(-0.0265415\pi\) |
−0.999772 | + | 0.0213357i | \(0.993208\pi\) | |||||||
\(174\) | −6.14267 | −0.465675 | ||||||||
\(175\) | −3.44763 | − | 12.7716i | −0.260616 | − | 0.965443i | ||||
\(176\) | 13.2791 | 1.00095 | ||||||||
\(177\) | −0.0948354 | − | 1.80957i | −0.00712827 | − | 0.136015i | ||||
\(178\) | 1.82274 | + | 1.47602i | 0.136620 | + | 0.110633i | ||||
\(179\) | 1.96641 | − | 0.206678i | 0.146976 | − | 0.0154478i | −0.0307546 | − | 0.999527i | \(-0.509791\pi\) |
0.177731 | + | 0.984079i | \(0.443124\pi\) | |||||||
\(180\) | −0.557977 | − | 0.633985i | −0.0415891 | − | 0.0472544i | ||||
\(181\) | 4.55620 | − | 6.27107i | 0.338660 | − | 0.466125i | −0.605390 | − | 0.795929i | \(-0.706983\pi\) |
0.944049 | + | 0.329804i | \(0.106983\pi\) | |||||||
\(182\) | −0.687487 | + | 24.6724i | −0.0509599 | + | 1.82884i | ||||
\(183\) | −0.375115 | − | 2.36838i | −0.0277293 | − | 0.175076i | ||||
\(184\) | −2.40570 | − | 11.3180i | −0.177351 | − | 0.834370i | ||||
\(185\) | −1.13677 | + | 6.68649i | −0.0835773 | + | 0.491601i | ||||
\(186\) | −5.39945 | − | 1.14769i | −0.395907 | − | 0.0841525i | ||||
\(187\) | 3.01437 | + | 1.95755i | 0.220432 | + | 0.143151i | ||||
\(188\) | −0.326195 | − | 0.640193i | −0.0237902 | − | 0.0466909i | ||||
\(189\) | 5.03005 | + | 8.23929i | 0.365882 | + | 0.599320i | ||||
\(190\) | −12.7662 | + | 4.73537i | −0.926157 | + | 0.343540i | ||||
\(191\) | −1.25696 | + | 0.267176i | −0.0909508 | + | 0.0193322i | −0.253162 | − | 0.967424i | \(-0.581471\pi\) |
0.162211 | + | 0.986756i | \(0.448137\pi\) | |||||||
\(192\) | 5.19595 | + | 1.99454i | 0.374985 | + | 0.143943i | ||||
\(193\) | −14.0029 | + | 3.75206i | −1.00795 | + | 0.270080i | −0.724773 | − | 0.688988i | \(-0.758055\pi\) |
−0.283178 | + | 0.959067i | \(0.591389\pi\) | |||||||
\(194\) | −1.89241 | + | 18.0050i | −0.135867 | + | 1.29269i | ||||
\(195\) | −1.97532 | − | 9.83961i | −0.141456 | − | 0.704629i | ||||
\(196\) | −0.557165 | − | 0.864292i | −0.0397975 | − | 0.0617352i | ||||
\(197\) | 2.25387 | − | 14.2303i | 0.160581 | − | 1.01387i | −0.767380 | − | 0.641193i | \(-0.778440\pi\) |
0.927961 | − | 0.372677i | \(-0.121560\pi\) | |||||||
\(198\) | −12.5963 | + | 0.660146i | −0.895183 | + | 0.0469145i | ||||
\(199\) | −1.05487 | + | 1.82709i | −0.0747779 | + | 0.129519i | −0.900990 | − | 0.433841i | \(-0.857158\pi\) |
0.826212 | + | 0.563360i | \(0.190491\pi\) | |||||||
\(200\) | 12.0719 | + | 8.23408i | 0.853616 | + | 0.582237i | ||||
\(201\) | −8.00026 | + | 4.61895i | −0.564295 | + | 0.325796i | ||||
\(202\) | −5.64612 | + | 11.0811i | −0.397260 | + | 0.779667i | ||||
\(203\) | −18.1754 | + | 1.39976i | −1.27566 | + | 0.0982438i | ||||
\(204\) | 0.0563984 | + | 0.0776257i | 0.00394868 | + | 0.00543489i | ||||
\(205\) | 13.3981 | − | 1.25502i | 0.935764 | − | 0.0876544i | ||||
\(206\) | 3.48111 | + | 7.81871i | 0.242541 | + | 0.544755i | ||||
\(207\) | 2.63459 | + | 9.83243i | 0.183117 | + | 0.683401i | ||||
\(208\) | −15.8908 | − | 19.6235i | −1.10183 | − | 1.36065i | ||||
\(209\) | 4.98171 | − | 15.3321i | 0.344592 | − | 1.06054i | ||||
\(210\) | −3.77840 | − | 3.68008i | −0.260735 | − | 0.253950i | ||||
\(211\) | −2.58367 | − | 7.95173i | −0.177867 | − | 0.547420i | 0.821885 | − | 0.569653i | \(-0.192922\pi\) |
−0.999753 | + | 0.0222332i | \(0.992922\pi\) | |||||||
\(212\) | −0.706569 | + | 1.08802i | −0.0485274 | + | 0.0747256i | ||||
\(213\) | 5.75406 | + | 0.301558i | 0.394262 | + | 0.0206624i | ||||
\(214\) | 1.94098 | − | 9.13158i | 0.132682 | − | 0.624222i | ||||
\(215\) | 9.07531 | + | 3.60208i | 0.618931 | + | 0.245660i | ||||
\(216\) | −10.1414 | − | 3.29513i | −0.690034 | − | 0.224206i | ||||
\(217\) | −16.2378 | − | 2.16546i | −1.10229 | − | 0.147001i | ||||
\(218\) | 12.3296 | + | 12.3296i | 0.835064 | + | 0.835064i | ||||
\(219\) | 3.37021 | + | 0.354223i | 0.227738 | + | 0.0239362i | ||||
\(220\) | −1.12996 | + | 0.353055i | −0.0761818 | + | 0.0238029i | ||||
\(221\) | −0.714408 | − | 6.79713i | −0.0480562 | − | 0.457225i | ||||
\(222\) | 0.969101 | + | 2.52460i | 0.0650418 | + | 0.169440i | ||||
\(223\) | 9.17376 | + | 4.67427i | 0.614321 | + | 0.313012i | 0.733321 | − | 0.679882i | \(-0.237969\pi\) |
−0.119001 | + | 0.992894i | \(0.537969\pi\) | |||||||
\(224\) | 2.10267 | + | 0.626678i | 0.140491 | + | 0.0418717i | ||||
\(225\) | −10.9847 | − | 6.67809i | −0.732314 | − | 0.445206i | ||||
\(226\) | 6.64527 | + | 11.5100i | 0.442037 | + | 0.765631i | ||||
\(227\) | 2.84858 | + | 4.38643i | 0.189067 | + | 0.291138i | 0.920474 | − | 0.390803i | \(-0.127803\pi\) |
−0.731407 | + | 0.681941i | \(0.761136\pi\) | |||||||
\(228\) | 0.270839 | − | 0.334458i | 0.0179367 | − | 0.0221500i | ||||
\(229\) | 22.0154 | + | 9.80188i | 1.45482 | + | 0.647727i | 0.973472 | − | 0.228804i | \(-0.0734816\pi\) |
0.481346 | + | 0.876531i | \(0.340148\pi\) | |||||||
\(230\) | −5.90715 | − | 10.5043i | −0.389506 | − | 0.692635i | ||||
\(231\) | 6.19269 | − | 0.804717i | 0.407449 | − | 0.0529465i | ||||
\(232\) | 14.2385 | − | 14.2385i | 0.934804 | − | 0.934804i | ||||
\(233\) | 7.93033 | − | 6.42185i | 0.519533 | − | 0.420709i | −0.333357 | − | 0.942801i | \(-0.608181\pi\) |
0.852890 | + | 0.522091i | \(0.174848\pi\) | |||||||
\(234\) | 16.0493 | + | 17.8246i | 1.04918 | + | 1.16523i | ||||
\(235\) | −7.64538 | − | 7.82047i | −0.498730 | − | 0.510151i | ||||
\(236\) | 0.302052 | + | 0.271969i | 0.0196619 | + | 0.0177037i | ||||
\(237\) | 0.583303 | − | 0.297208i | 0.0378896 | − | 0.0193057i | ||||
\(238\) | −2.32818 | − | 2.73523i | −0.150914 | − | 0.177299i | ||||
\(239\) | 27.2863 | − | 8.86585i | 1.76500 | − | 0.573484i | 0.767303 | − | 0.641284i | \(-0.221598\pi\) |
0.997699 | + | 0.0678002i | \(0.0215981\pi\) | |||||||
\(240\) | 5.38501 | + | 0.343385i | 0.347601 | + | 0.0221654i | ||||
\(241\) | 6.01914 | − | 5.41966i | 0.387727 | − | 0.349111i | −0.452098 | − | 0.891968i | \(-0.649324\pi\) |
0.839825 | + | 0.542857i | \(0.182658\pi\) | |||||||
\(242\) | −0.969968 | + | 2.52685i | −0.0623519 | + | 0.162432i | ||||
\(243\) | 13.9407 | + | 3.73540i | 0.894296 | + | 0.239626i | ||||
\(244\) | 0.435138 | + | 0.316147i | 0.0278569 | + | 0.0202392i | ||||
\(245\) | −12.0184 | − | 10.0279i | −0.767827 | − | 0.640657i | ||||
\(246\) | 4.34063 | − | 3.15365i | 0.276748 | − | 0.201069i | ||||
\(247\) | −28.6190 | + | 10.9858i | −1.82098 | + | 0.699009i | ||||
\(248\) | 15.1760 | − | 9.85543i | 0.963679 | − | 0.625820i | ||||
\(249\) | 7.85159 | + | 4.53312i | 0.497574 | + | 0.287275i | ||||
\(250\) | 14.5588 | + | 4.43604i | 0.920779 | + | 0.280560i | ||||
\(251\) | − | 14.7687i | − | 0.932189i | −0.884735 | − | 0.466095i | \(-0.845661\pi\) | ||
0.884735 | − | 0.466095i | \(-0.154339\pi\) | |||||||
\(252\) | −0.971289 | − | 0.234910i | −0.0611854 | − | 0.0147979i | ||||
\(253\) | 14.0928 | + | 2.23208i | 0.886008 | + | 0.140330i | ||||
\(254\) | 2.67184 | − | 6.00104i | 0.167646 | − | 0.376539i | ||||
\(255\) | 1.17178 | + | 0.871787i | 0.0733799 | + | 0.0545934i | ||||
\(256\) | −3.20304 | + | 1.42609i | −0.200190 | + | 0.0891304i | ||||
\(257\) | −1.95215 | + | 7.28553i | −0.121772 | + | 0.454459i | −0.999704 | − | 0.0243262i | \(-0.992256\pi\) |
0.877932 | + | 0.478785i | \(0.158923\pi\) | |||||||
\(258\) | 3.84506 | − | 0.608998i | 0.239383 | − | 0.0379146i | ||||
\(259\) | 3.44273 | + | 7.24911i | 0.213921 | + | 0.450438i | ||||
\(260\) | 1.87394 | + | 1.24733i | 0.116217 | + | 0.0773564i | ||||
\(261\) | −11.8534 | + | 13.1646i | −0.733708 | + | 0.814866i | ||||
\(262\) | −0.863113 | + | 16.4692i | −0.0533233 | + | 1.01747i | ||||
\(263\) | −0.938971 | + | 17.9166i | −0.0578994 | + | 1.10479i | 0.802989 | + | 0.595994i | \(0.203242\pi\) |
−0.860889 | + | 0.508794i | \(0.830092\pi\) | |||||||
\(264\) | −4.61571 | + | 5.12627i | −0.284077 | + | 0.315500i | ||||
\(265\) | −5.32652 | + | 19.0151i | −0.327205 | + | 1.16809i | ||||
\(266\) | −9.14754 | + | 13.2620i | −0.560871 | + | 0.813148i | ||||
\(267\) | −1.11451 | + | 0.176520i | −0.0682066 | + | 0.0108029i | ||||
\(268\) | 0.536300 | − | 2.00150i | 0.0327598 | − | 0.122261i | ||||
\(269\) | 14.9039 | − | 6.63566i | 0.908708 | − | 0.404583i | 0.101490 | − | 0.994837i | \(-0.467639\pi\) |
0.807218 | + | 0.590253i | \(0.200972\pi\) | |||||||
\(270\) | −11.1054 | − | 0.125728i | −0.675855 | − | 0.00765154i | ||||
\(271\) | 1.54742 | − | 3.47556i | 0.0939989 | − | 0.211125i | −0.860427 | − | 0.509575i | \(-0.829803\pi\) |
0.954425 | + | 0.298450i | \(0.0964695\pi\) | |||||||
\(272\) | 3.62945 | + | 0.574849i | 0.220068 | + | 0.0348553i | ||||
\(273\) | −8.59986 | − | 8.18842i | −0.520487 | − | 0.495586i | ||||
\(274\) | 7.98600i | 0.482452i | ||||||||
\(275\) | −14.8142 | + | 10.2589i | −0.893333 | + | 0.618636i | ||||
\(276\) | 0.329877 | + | 0.190454i | 0.0198562 | + | 0.0114640i | ||||
\(277\) | −5.63237 | + | 3.65771i | −0.338417 | + | 0.219770i | −0.702647 | − | 0.711539i | \(-0.747999\pi\) |
0.364230 | + | 0.931309i | \(0.381332\pi\) | |||||||
\(278\) | 9.21805 | − | 3.53848i | 0.552862 | − | 0.212224i | ||||
\(279\) | −12.8789 | + | 9.35705i | −0.771038 | + | 0.560192i | ||||
\(280\) | 17.2885 | − | 0.227906i | 1.03319 | − | 0.0136200i | ||||
\(281\) | −2.64391 | − | 1.92091i | −0.157723 | − | 0.114592i | 0.506125 | − | 0.862460i | \(-0.331078\pi\) |
−0.663847 | + | 0.747868i | \(0.731078\pi\) | |||||||
\(282\) | −4.21197 | − | 1.12859i | −0.250819 | − | 0.0672067i | ||||
\(283\) | −1.78630 | + | 4.65348i | −0.106185 | + | 0.276621i | −0.976371 | − | 0.216103i | \(-0.930665\pi\) |
0.870186 | + | 0.492724i | \(0.163999\pi\) | |||||||
\(284\) | −0.960466 | + | 0.864807i | −0.0569932 | + | 0.0513169i | ||||
\(285\) | 2.41668 | − | 6.08874i | 0.143152 | − | 0.360666i | ||||
\(286\) | 31.9752 | − | 10.3894i | 1.89074 | − | 0.614337i | ||||
\(287\) | 12.1247 | − | 10.3203i | 0.715698 | − | 0.609191i | ||||
\(288\) | 1.89975 | − | 0.967973i | 0.111944 | − | 0.0570383i | ||||
\(289\) | −11.8943 | − | 10.7097i | −0.699666 | − | 0.629982i | ||||
\(290\) | 9.73229 | − | 18.5777i | 0.571500 | − | 1.09092i | ||||
\(291\) | −5.82816 | − | 6.47283i | −0.341653 | − | 0.379444i | ||||
\(292\) | −0.590722 | + | 0.478358i | −0.0345694 | + | 0.0279938i | ||||
\(293\) | −10.3729 | + | 10.3729i | −0.605994 | + | 0.605994i | −0.941897 | − | 0.335903i | \(-0.890959\pi\) |
0.335903 | + | 0.941897i | \(0.390959\pi\) | |||||||
\(294\) | −6.16062 | − | 0.996944i | −0.359294 | − | 0.0581429i | ||||
\(295\) | 5.62306 | + | 2.58021i | 0.327387 | + | 0.150226i | ||||
\(296\) | −8.09827 | − | 3.60558i | −0.470702 | − | 0.209570i | ||||
\(297\) | 8.27517 | − | 10.2190i | 0.480174 | − | 0.592966i | ||||
\(298\) | 7.98424 | + | 12.2947i | 0.462515 | + | 0.712210i | ||||
\(299\) | −13.5661 | − | 23.4971i | −0.784547 | − | 1.35887i | ||||
\(300\) | −0.467357 | + | 0.113953i | −0.0269829 | + | 0.00657908i | ||||
\(301\) | 11.2383 | − | 2.67814i | 0.647762 | − | 0.154365i | ||||
\(302\) | −1.74756 | − | 0.890426i | −0.100561 | − | 0.0512383i | ||||
\(303\) | −2.14424 | − | 5.58594i | −0.123184 | − | 0.320904i | ||||
\(304\) | −1.72285 | − | 16.3918i | −0.0988120 | − | 0.940134i | ||||
\(305\) | 7.75719 | + | 2.61791i | 0.444175 | + | 0.149901i | ||||
\(306\) | −3.47142 | − | 0.364861i | −0.198448 | − | 0.0208577i | ||||
\(307\) | 3.13382 | + | 3.13382i | 0.178857 | + | 0.178857i | 0.790857 | − | 0.612001i | \(-0.209635\pi\) |
−0.612001 | + | 0.790857i | \(0.709635\pi\) | |||||||
\(308\) | −0.854571 | + | 1.10984i | −0.0486937 | + | 0.0632390i | ||||
\(309\) | −3.91609 | − | 1.27241i | −0.222778 | − | 0.0723851i | ||||
\(310\) | 12.0258 | − | 14.5116i | 0.683018 | − | 0.824202i | ||||
\(311\) | 1.08865 | − | 5.12170i | 0.0617318 | − | 0.290425i | −0.936443 | − | 0.350820i | \(-0.885903\pi\) |
0.998175 | + | 0.0603952i | \(0.0192361\pi\) | |||||||
\(312\) | 13.0990 | + | 0.686490i | 0.741586 | + | 0.0388649i | ||||
\(313\) | −4.36337 | + | 6.71899i | −0.246632 | + | 0.379780i | −0.940207 | − | 0.340605i | \(-0.889368\pi\) |
0.693575 | + | 0.720385i | \(0.256035\pi\) | |||||||
\(314\) | −6.40075 | − | 19.6995i | −0.361215 | − | 1.11171i | ||||
\(315\) | −15.1780 | + | 0.996219i | −0.855185 | + | 0.0561306i | ||||
\(316\) | −0.0453768 | + | 0.139655i | −0.00255264 | + | 0.00785623i | ||||
\(317\) | 3.99830 | + | 4.93748i | 0.224567 | + | 0.277317i | 0.876960 | − | 0.480564i | \(-0.159568\pi\) |
−0.652393 | + | 0.757881i | \(0.726235\pi\) | |||||||
\(318\) | 2.03776 | + | 7.60503i | 0.114272 | + | 0.426469i | ||||
\(319\) | 10.0997 | + | 22.6842i | 0.565473 | + | 1.27007i | ||||
\(320\) | −14.2645 | + | 12.5544i | −0.797413 | + | 0.701812i | ||||
\(321\) | 2.63998 | + | 3.63363i | 0.147350 | + | 0.202809i | ||||
\(322\) | −12.8600 | − | 6.16040i | −0.716659 | − | 0.343305i | ||||
\(323\) | 2.02533 | − | 3.97493i | 0.112692 | − | 0.221171i | ||||
\(324\) | −0.677282 | + | 0.391029i | −0.0376268 | + | 0.0217238i | ||||
\(325\) | 32.8883 | + | 9.61551i | 1.82432 | + | 0.533373i | ||||
\(326\) | −10.3701 | + | 17.9615i | −0.574346 | + | 0.994797i | ||||
\(327\) | −8.37739 | + | 0.439040i | −0.463271 | + | 0.0242790i | ||||
\(328\) | −2.75137 | + | 17.3715i | −0.151919 | + | 0.959179i | ||||
\(329\) | −12.7198 | − | 2.37956i | −0.701267 | − | 0.131189i | ||||
\(330\) | −2.99634 | + | 6.52992i | −0.164943 | + | 0.359460i | ||||
\(331\) | −2.19682 | + | 20.9013i | −0.120748 | + | 1.14884i | 0.751485 | + | 0.659750i | \(0.229338\pi\) |
−0.872233 | + | 0.489090i | \(0.837329\pi\) | |||||||
\(332\) | −1.96430 | + | 0.526334i | −0.107805 | + | 0.0288863i | ||||
\(333\) | 7.28060 | + | 2.79476i | 0.398974 | + | 0.153152i | ||||
\(334\) | −7.77373 | + | 1.65236i | −0.425360 | + | 0.0904130i | ||||
\(335\) | −1.29403 | − | 31.5139i | −0.0707004 | − | 1.72179i | ||||
\(336\) | 5.44933 | − | 3.32679i | 0.297285 | − | 0.181491i | ||||
\(337\) | 4.24522 | + | 8.33171i | 0.231252 | + | 0.453857i | 0.977250 | − | 0.212091i | \(-0.0680273\pi\) |
−0.745998 | + | 0.665948i | \(0.768027\pi\) | |||||||
\(338\) | −38.7756 | − | 25.1812i | −2.10912 | − | 1.36968i | ||||
\(339\) | −6.25444 | − | 1.32942i | −0.339695 | − | 0.0722043i | ||||
\(340\) | −0.324125 | + | 0.0475816i | −0.0175782 | + | 0.00258047i | ||||
\(341\) | 4.63938 | + | 21.8266i | 0.251237 | + | 1.18198i | ||||
\(342\) | 2.44916 | + | 15.4634i | 0.132435 | + | 0.836163i | ||||
\(343\) | −18.4556 | − | 1.54598i | −0.996510 | − | 0.0834748i | ||||
\(344\) | −7.50109 | + | 10.3244i | −0.404432 | + | 0.556652i | ||||
\(345\) | 5.65728 | + | 1.26959i | 0.304578 | + | 0.0683527i | ||||
\(346\) | 1.10465 | − | 0.116103i | 0.0593864 | − | 0.00624176i | ||||
\(347\) | −14.1674 | − | 11.4726i | −0.760548 | − | 0.615880i | 0.168558 | − | 0.985692i | \(-0.446089\pi\) |
−0.929107 | + | 0.369812i | \(0.879422\pi\) | |||||||
\(348\) | 0.0346926 | + | 0.661974i | 0.00185972 | + | 0.0354856i | ||||
\(349\) | −20.7570 | −1.11110 | −0.555548 | − | 0.831484i | \(-0.687491\pi\) | ||||
−0.555548 | + | 0.831484i | \(0.687491\pi\) | |||||||
\(350\) | 17.1163 | − | 5.59668i | 0.914907 | − | 0.299155i | ||||
\(351\) | −25.0041 | −1.33462 | ||||||||
\(352\) | −0.156415 | − | 2.98457i | −0.00833693 | − | 0.159078i | ||||
\(353\) | −14.5749 | − | 11.8025i | −0.775742 | − | 0.628183i | 0.157464 | − | 0.987525i | \(-0.449668\pi\) |
−0.933206 | + | 0.359341i | \(0.883001\pi\) | |||||||
\(354\) | 2.45321 | − | 0.257842i | 0.130386 | − | 0.0137042i | ||||
\(355\) | −10.0286 | + | 16.9247i | −0.532263 | + | 0.898267i | ||||
\(356\) | 0.148771 | − | 0.204766i | 0.00788486 | − | 0.0108526i | ||||
\(357\) | 1.72743 | + | 0.0481340i | 0.0914252 | + | 0.00254752i | ||||
\(358\) | 0.421057 | + | 2.65845i | 0.0222535 | + | 0.140503i | ||||
\(359\) | 0.468555 | + | 2.20438i | 0.0247294 | + | 0.116343i | 0.988781 | − | 0.149372i | \(-0.0477253\pi\) |
−0.964052 | + | 0.265715i | \(0.914392\pi\) | |||||||
\(360\) | 12.0146 | − | 11.7456i | 0.633223 | − | 0.619045i | ||||
\(361\) | −0.987600 | − | 0.209921i | −0.0519790 | − | 0.0110485i | ||||
\(362\) | 8.84962 | + | 5.74701i | 0.465126 | + | 0.302056i | ||||
\(363\) | −0.591175 | − | 1.16025i | −0.0310287 | − | 0.0608972i | ||||
\(364\) | 2.66274 | − | 0.0652570i | 0.139566 | − | 0.00342040i | ||||
\(365\) | −6.41098 | + | 9.63155i | −0.335566 | + | 0.504138i | ||||
\(366\) | 3.19290 | − | 0.678672i | 0.166895 | − | 0.0354747i | ||||
\(367\) | 9.09954 | + | 3.49299i | 0.474992 | + | 0.182332i | 0.584074 | − | 0.811700i | \(-0.301458\pi\) |
−0.109082 | + | 0.994033i | \(0.534791\pi\) | |||||||
\(368\) | 14.0909 | − | 3.77564i | 0.734538 | − | 0.196819i | ||||
\(369\) | 1.61735 | − | 15.3881i | 0.0841960 | − | 0.801072i | ||||
\(370\) | −9.17074 | − | 1.06898i | −0.476764 | − | 0.0555736i | ||||
\(371\) | 7.76245 | + | 22.0379i | 0.403007 | + | 1.14415i | ||||
\(372\) | −0.0931873 | + | 0.588361i | −0.00483153 | + | 0.0305051i | ||||
\(373\) | 2.38962 | − | 0.125235i | 0.123730 | − | 0.00648441i | 0.00962952 | − | 0.999954i | \(-0.496935\pi\) |
0.114100 | + | 0.993469i | \(0.463601\pi\) | |||||||
\(374\) | −2.44638 | + | 4.23726i | −0.126499 | + | 0.219103i | ||||
\(375\) | −6.27284 | + | 3.77717i | −0.323928 | + | 0.195052i | ||||
\(376\) | 12.3792 | − | 7.14715i | 0.638410 | − | 0.368586i | ||||
\(377\) | 21.4362 | − | 42.0708i | 1.10402 | − | 2.16676i | ||||
\(378\) | −10.8423 | + | 7.42495i | −0.557667 | + | 0.381898i | ||||
\(379\) | −15.4544 | − | 21.2711i | −0.793838 | − | 1.09262i | −0.993620 | − | 0.112784i | \(-0.964023\pi\) |
0.199781 | − | 0.979841i | \(-0.435977\pi\) | |||||||
\(380\) | 0.582415 | + | 1.34902i | 0.0298773 | + | 0.0692034i | ||||
\(381\) | 1.28544 | + | 2.88714i | 0.0658550 | + | 0.147913i | ||||
\(382\) | −0.452756 | − | 1.68971i | −0.0231650 | − | 0.0864530i | ||||
\(383\) | 0.428854 | + | 0.529590i | 0.0219134 | + | 0.0270608i | 0.787985 | − | 0.615695i | \(-0.211124\pi\) |
−0.766071 | + | 0.642755i | \(0.777791\pi\) | |||||||
\(384\) | −2.00557 | + | 6.17251i | −0.102346 | + | 0.314989i | ||||
\(385\) | −7.37777 | + | 20.0040i | −0.376006 | + | 1.01950i | ||||
\(386\) | −6.09826 | − | 18.7685i | −0.310393 | − | 0.955291i | ||||
\(387\) | 6.11460 | − | 9.41565i | 0.310822 | − | 0.478624i | ||||
\(388\) | 1.95103 | + | 0.102249i | 0.0990484 | + | 0.00519091i | ||||
\(389\) | −5.53936 | + | 26.0606i | −0.280857 | + | 1.32133i | 0.580888 | + | 0.813984i | \(0.302705\pi\) |
−0.861745 | + | 0.507342i | \(0.830628\pi\) | |||||||
\(390\) | 13.2354 | − | 3.38631i | 0.670202 | − | 0.171472i | ||||
\(391\) | 3.75524 | + | 1.22015i | 0.189911 | + | 0.0617057i | ||||
\(392\) | 16.5910 | − | 11.9692i | 0.837971 | − | 0.604537i | ||||
\(393\) | −5.61040 | − | 5.61040i | −0.283007 | − | 0.283007i | ||||
\(394\) | 19.5056 | + | 2.05012i | 0.982677 | + | 0.103284i | ||||
\(395\) | −0.0253032 | + | 2.23501i | −0.00127314 | + | 0.112456i | ||||
\(396\) | 0.142283 | + | 1.35374i | 0.00715000 | + | 0.0680277i | ||||
\(397\) | −12.0631 | − | 31.4255i | −0.605430 | − | 1.57720i | −0.802398 | − | 0.596789i | \(-0.796443\pi\) |
0.196968 | − | 0.980410i | \(-0.436891\pi\) | |||||||
\(398\) | −2.55894 | − | 1.30384i | −0.128268 | − | 0.0653558i | ||||
\(399\) | −1.79680 | − | 7.53989i | −0.0899523 | − | 0.377467i | ||||
\(400\) | −9.57039 | + | 15.7422i | −0.478519 | + | 0.787111i | ||||
\(401\) | −15.1960 | − | 26.3202i | −0.758852 | − | 1.31437i | −0.943436 | − | 0.331553i | \(-0.892427\pi\) |
0.184585 | − | 0.982817i | \(-0.440906\pi\) | |||||||
\(402\) | −6.84907 | − | 10.5466i | −0.341601 | − | 0.526019i | ||||
\(403\) | 26.7030 | − | 32.9754i | 1.33017 | − | 1.64262i | ||||
\(404\) | 1.22606 | + | 0.545879i | 0.0609990 | + | 0.0271585i | ||||
\(405\) | −8.06501 | + | 8.75570i | −0.400753 | + | 0.435074i | ||||
\(406\) | −3.19775 | − | 24.6082i | −0.158702 | − | 1.22128i | ||||
\(407\) | 7.72968 | − | 7.72968i | 0.383146 | − | 0.383146i | ||||
\(408\) | −1.48349 | + | 1.20130i | −0.0734435 | + | 0.0594734i | ||||
\(409\) | −13.1521 | − | 14.6068i | −0.650328 | − | 0.722262i | 0.324335 | − | 0.945942i | \(-0.394859\pi\) |
−0.974663 | + | 0.223680i | \(0.928193\pi\) | |||||||
\(410\) | 2.66064 | + | 18.1242i | 0.131399 | + | 0.895092i | ||||
\(411\) | −2.85525 | − | 2.57088i | −0.140839 | − | 0.126812i | ||||
\(412\) | 0.822934 | − | 0.419306i | 0.0405431 | − | 0.0206577i | ||||
\(413\) | 7.19995 | − | 1.32194i | 0.354286 | − | 0.0650486i | ||||
\(414\) | −13.1787 | + | 4.28202i | −0.647697 | + | 0.210450i | ||||
\(415\) | −26.1497 | + | 16.5640i | −1.28364 | + | 0.813094i | ||||
\(416\) | −4.22335 | + | 3.80272i | −0.207067 | + | 0.186444i | ||||
\(417\) | −1.70238 | + | 4.43486i | −0.0833661 | + | 0.217176i | ||||
\(418\) | 21.1977 | + | 5.67991i | 1.03681 | + | 0.277813i | ||||
\(419\) | 18.2082 | + | 13.2290i | 0.889527 | + | 0.646280i | 0.935755 | − | 0.352651i | \(-0.114720\pi\) |
−0.0462273 | + | 0.998931i | \(0.514720\pi\) | |||||||
\(420\) | −0.375250 | + | 0.427970i | −0.0183103 | + | 0.0208828i | ||||
\(421\) | −6.80767 | + | 4.94606i | −0.331786 | + | 0.241056i | −0.741188 | − | 0.671298i | \(-0.765737\pi\) |
0.409402 | + | 0.912354i | \(0.365737\pi\) | |||||||
\(422\) | 10.6257 | − | 4.07881i | 0.517250 | − | 0.198553i | ||||
\(423\) | −10.5465 | + | 6.84897i | −0.512788 | + | 0.333008i | ||||
\(424\) | −22.3516 | − | 12.9047i | −1.08549 | − | 0.626709i | ||||
\(425\) | −4.49315 | + | 2.16267i | −0.217950 | + | 0.104905i | ||||
\(426\) | 7.84367i | 0.380027i | ||||||||
\(427\) | 9.29271 | − | 2.73568i | 0.449706 | − | 0.132389i | ||||
\(428\) | −0.995040 | − | 0.157599i | −0.0480971 | − | 0.00761783i | ||||
\(429\) | −6.57903 | + | 14.7767i | −0.317639 | + | 0.713428i | ||||
\(430\) | −4.25018 | + | 12.5938i | −0.204962 | + | 0.607326i | ||||
\(431\) | −8.08965 | + | 3.60175i | −0.389665 | + | 0.173490i | −0.592211 | − | 0.805783i | \(-0.701745\pi\) |
0.202546 | + | 0.979273i | \(0.435078\pi\) | |||||||
\(432\) | 3.47951 | − | 12.9857i | 0.167408 | − | 0.624775i | ||||
\(433\) | −6.72335 | + | 1.06487i | −0.323104 | + | 0.0511746i | −0.315879 | − | 0.948799i | \(-0.602300\pi\) |
−0.00722408 | + | 0.999974i | \(0.502300\pi\) | |||||||
\(434\) | 1.78692 | − | 22.2282i | 0.0857749 | − | 1.06699i | ||||
\(435\) | 3.50908 | + | 9.46020i | 0.168248 | + | 0.453582i | ||||
\(436\) | 1.25908 | − | 1.39835i | 0.0602990 | − | 0.0669688i | ||||
\(437\) | 0.926877 | − | 17.6859i | 0.0443385 | − | 0.846030i | ||||
\(438\) | −0.241430 | + | 4.60677i | −0.0115360 | + | 0.220120i | ||||
\(439\) | 6.03256 | − | 6.69983i | 0.287918 | − | 0.319766i | −0.581783 | − | 0.813344i | \(-0.697645\pi\) |
0.869701 | + | 0.493578i | \(0.164311\pi\) | |||||||
\(440\) | −8.19073 | − | 22.0816i | −0.390478 | − | 1.05270i | ||||
\(441\) | −14.0246 | + | 11.2792i | −0.667839 | + | 0.537106i | ||||
\(442\) | 9.18926 | − | 1.45544i | 0.437089 | − | 0.0692280i | ||||
\(443\) | 3.01374 | − | 11.2474i | 0.143187 | − | 0.534382i | −0.856642 | − | 0.515911i | \(-0.827454\pi\) |
0.999829 | − | 0.0184709i | \(-0.00587980\pi\) | |||||||
\(444\) | 0.266594 | − | 0.118695i | 0.0126520 | − | 0.00563302i | ||||
\(445\) | 1.23193 | − | 3.65035i | 0.0583991 | − | 0.173043i | ||||
\(446\) | −5.70071 | + | 12.8040i | −0.269937 | + | 0.606287i | ||||
\(447\) | −6.96604 | − | 1.10331i | −0.329482 | − | 0.0521849i | ||||
\(448\) | −5.28543 | + | 21.8538i | −0.249713 | + | 1.03250i | ||||
\(449\) | 6.67674i | 0.315095i | 0.987511 | + | 0.157547i | \(0.0503587\pi\) | ||||
−0.987511 | + | 0.157547i | \(0.949641\pi\) | |||||||
\(450\) | 8.29573 | − | 15.4086i | 0.391065 | − | 0.726369i | ||||
\(451\) | −18.7829 | − | 10.8443i | −0.884451 | − | 0.510638i | ||||
\(452\) | 1.20286 | − | 0.781144i | 0.0565776 | − | 0.0367419i | ||||
\(453\) | 0.880936 | − | 0.338159i | 0.0413900 | − | 0.0158881i | ||||
\(454\) | −5.76006 | + | 4.18493i | −0.270333 | + | 0.196408i | ||||
\(455\) | 38.3902 | − | 13.0357i | 1.79976 | − | 0.611121i | ||||
\(456\) | 6.92675 | + | 5.03258i | 0.324375 | + | 0.235672i | ||||
\(457\) | −5.50864 | − | 1.47604i | −0.257684 | − | 0.0690461i | 0.127664 | − | 0.991817i | \(-0.459252\pi\) |
−0.385348 | + | 0.922771i | \(0.625919\pi\) | |||||||
\(458\) | −11.7564 | + | 30.6265i | −0.549341 | + | 1.43108i | ||||
\(459\) | 2.70416 | − | 2.43483i | 0.126219 | − | 0.113648i | ||||
\(460\) | −1.09865 | + | 0.695919i | −0.0512249 | + | 0.0324474i | ||||
\(461\) | −6.41686 | + | 2.08497i | −0.298863 | + | 0.0971065i | −0.454610 | − | 0.890690i | \(-0.650221\pi\) |
0.155747 | + | 0.987797i | \(0.450221\pi\) | |||||||
\(462\) | 1.53514 | + | 8.36113i | 0.0714212 | + | 0.388995i | ||||
\(463\) | 37.8440 | − | 19.2825i | 1.75876 | − | 0.896133i | 0.806280 | − | 0.591534i | \(-0.201477\pi\) |
0.952481 | − | 0.304599i | \(-0.0985226\pi\) | |||||||
\(464\) | 18.8662 | + | 16.9872i | 0.875840 | + | 0.788610i | ||||
\(465\) | 1.31697 | + | 8.97120i | 0.0610731 | + | 0.416030i | ||||
\(466\) | 9.29498 | + | 10.3231i | 0.430582 | + | 0.478209i | ||||
\(467\) | 2.78580 | − | 2.25590i | 0.128912 | − | 0.104390i | −0.562696 | − | 0.826664i | \(-0.690236\pi\) |
0.691608 | + | 0.722273i | \(0.256903\pi\) | |||||||
\(468\) | 1.83025 | − | 1.83025i | 0.0846034 | − | 0.0846034i | ||||
\(469\) | −22.6688 | − | 29.6454i | −1.04675 | − | 1.36890i | ||||
\(470\) | 10.0866 | − | 10.9504i | 0.465261 | − | 0.505106i | ||||
\(471\) | 9.10374 | + | 4.05325i | 0.419478 | + | 0.186764i | ||||
\(472\) | −5.08878 | + | 6.28411i | −0.234230 | + | 0.289250i | ||||
\(473\) | −8.57095 | − | 13.1981i | −0.394093 | − | 0.606849i | ||||
\(474\) | 0.445587 | + | 0.771779i | 0.0204665 | + | 0.0354490i | ||||
\(475\) | 14.5857 | + | 16.9558i | 0.669238 | + | 0.777985i | ||||
\(476\) | −0.281617 | + | 0.266348i | −0.0129079 | + | 0.0122081i | ||||
\(477\) | 20.2308 | + | 10.3081i | 0.926305 | + | 0.471976i | ||||
\(478\) | 13.9964 | + | 36.4619i | 0.640180 | + | 1.66773i | ||||
\(479\) | 2.27170 | + | 21.6138i | 0.103797 | + | 0.987560i | 0.915180 | + | 0.403046i | \(0.132048\pi\) |
−0.811383 | + | 0.584515i | \(0.801285\pi\) | |||||||
\(480\) | 0.0137481 | − | 1.21436i | 0.000627514 | − | 0.0554279i | ||||
\(481\) | −20.6727 | − | 2.17279i | −0.942594 | − | 0.0990706i | ||||
\(482\) | 7.79642 | + | 7.79642i | 0.355117 | + | 0.355117i | ||||
\(483\) | 6.34246 | − | 2.61468i | 0.288592 | − | 0.118972i | ||||
\(484\) | 0.277788 | + | 0.0902589i | 0.0126267 | + | 0.00410268i | ||||
\(485\) | 28.8102 | − | 7.37115i | 1.30821 | − | 0.334707i | ||||
\(486\) | −4.08478 | + | 19.2174i | −0.185289 | + | 0.871718i | ||||
\(487\) | −12.0853 | − | 0.633363i | −0.547637 | − | 0.0287004i | −0.223488 | − | 0.974707i | \(-0.571744\pi\) |
−0.324148 | + | 0.946006i | \(0.605078\pi\) | |||||||
\(488\) | −5.82789 | + | 8.97417i | −0.263816 | + | 0.406241i | ||||
\(489\) | −3.08344 | − | 9.48987i | −0.139438 | − | 0.429147i | ||||
\(490\) | 12.7758 | − | 17.0525i | 0.577154 | − | 0.770352i | ||||
\(491\) | 9.93766 | − | 30.5850i | 0.448480 | − | 1.38028i | −0.430142 | − | 0.902761i | \(-0.641536\pi\) |
0.878622 | − | 0.477518i | \(-0.158464\pi\) | |||||||
\(492\) | −0.364373 | − | 0.449963i | −0.0164272 | − | 0.0202859i | ||||
\(493\) | 1.77846 | + | 6.63729i | 0.0800977 | + | 0.298929i | ||||
\(494\) | −16.9732 | − | 38.1225i | −0.763662 | − | 1.71521i | ||||
\(495\) | 8.21250 | + | 19.0222i | 0.369124 | + | 0.854986i | ||||
\(496\) | 13.4096 | + | 18.4567i | 0.602109 | + | 0.828732i | ||||
\(497\) | 1.78737 | + | 23.2084i | 0.0801746 | + | 1.04104i | ||||
\(498\) | −5.60303 | + | 10.9966i | −0.251078 | + | 0.492768i | ||||
\(499\) | 34.5237 | − | 19.9323i | 1.54549 | − | 0.892292i | 0.547018 | − | 0.837121i | \(-0.315763\pi\) |
0.998477 | − | 0.0551705i | \(-0.0175702\pi\) | |||||||
\(500\) | 0.395832 | − | 1.59401i | 0.0177021 | − | 0.0712861i | ||||
\(501\) | 1.91177 | − | 3.31129i | 0.0854117 | − | 0.147937i | ||||
\(502\) | 20.0768 | − | 1.05218i | 0.896071 | − | 0.0469611i | ||||
\(503\) | 1.52863 | − | 9.65138i | 0.0681582 | − | 0.430334i | −0.929887 | − | 0.367844i | \(-0.880096\pi\) |
0.998046 | − | 0.0624896i | \(-0.0199040\pi\) | |||||||
\(504\) | 3.65570 | − | 19.5414i | 0.162838 | − | 0.870443i | ||||
\(505\) | 20.2913 | + | 2.36523i | 0.902949 | + | 0.105252i | ||||
\(506\) | −2.03031 | + | 19.3171i | −0.0902581 | + | 0.858749i | ||||
\(507\) | 21.4858 | − | 5.75712i | 0.954220 | − | 0.255682i | ||||
\(508\) | −0.661802 | − | 0.254042i | −0.0293627 | − | 0.0112713i | ||||
\(509\) | −20.7863 | + | 4.41826i | −0.921336 | + | 0.195836i | −0.644078 | − | 0.764960i | \(-0.722759\pi\) |
−0.277258 | + | 0.960796i | \(0.589426\pi\) | |||||||
\(510\) | −1.10164 | + | 1.65505i | −0.0487815 | + | 0.0732871i | ||||
\(511\) | 0.335404 | + | 13.6858i | 0.0148374 | + | 0.605425i | ||||
\(512\) | −11.1648 | − | 21.9121i | −0.493417 | − | 0.968386i | ||||
\(513\) | −13.6880 | − | 8.88911i | −0.604341 | − | 0.392464i | ||||
\(514\) | −10.0432 | − | 2.13474i | −0.442985 | − | 0.0941594i | ||||
\(515\) | 10.0528 | − | 9.82773i | 0.442979 | − | 0.433061i | ||||
\(516\) | −0.0873458 | − | 0.410930i | −0.00384518 | − | 0.0180902i | ||||
\(517\) | 2.75747 | + | 17.4100i | 0.121273 | + | 0.765689i | ||||
\(518\) | −9.60931 | + | 5.19658i | −0.422209 | + | 0.228324i | ||||
\(519\) | −0.314102 | + | 0.432324i | −0.0137875 | + | 0.0189769i | ||||
\(520\) | −22.8299 | + | 38.5286i | −1.00116 | + | 1.68959i | ||||
\(521\) | −25.8230 | + | 2.71411i | −1.13133 | + | 0.118907i | −0.651638 | − | 0.758530i | \(-0.725918\pi\) |
−0.479690 | + | 0.877438i | \(0.659251\pi\) | |||||||
\(522\) | −18.7406 | − | 15.1759i | −0.820256 | − | 0.664230i | ||||
\(523\) | 2.26533 | + | 43.2251i | 0.0990560 | + | 1.89010i | 0.372237 | + | 0.928138i | \(0.378591\pi\) |
−0.273181 | + | 0.961963i | \(0.588076\pi\) | |||||||
\(524\) | 1.77970 | 0.0777466 | ||||||||
\(525\) | −3.50916 | + | 7.92134i | −0.153152 | + | 0.345715i | ||||
\(526\) | −24.4231 | −1.06490 | ||||||||
\(527\) | 0.323173 | + | 6.16650i | 0.0140776 | + | 0.268617i | ||||
\(528\) | −6.75867 | − | 5.47306i | −0.294133 | − | 0.238184i | ||||
\(529\) | −7.28500 | + | 0.765684i | −0.316739 | + | 0.0332906i | ||||
\(530\) | −26.2290 | − | 5.88626i | −1.13932 | − | 0.255683i | ||||
\(531\) | 4.18132 | − | 5.75510i | 0.181454 | − | 0.249750i | ||||
\(532\) | 1.48087 | + | 0.910897i | 0.0642037 | + | 0.0394924i | ||||
\(533\) | 6.45164 | + | 40.7341i | 0.279452 | + | 1.76439i | ||||
\(534\) | −0.319367 | − | 1.50250i | −0.0138204 | − | 0.0650197i | ||||
\(535\) | −15.1722 | + | 2.22727i | −0.655950 | + | 0.0962934i | ||||
\(536\) | 40.3227 | + | 8.57085i | 1.74167 | + | 0.370204i | ||||
\(537\) | −1.08603 | − | 0.705275i | −0.0468656 | − | 0.0304348i | ||||
\(538\) | 10.0825 | + | 19.7879i | 0.434686 | + | 0.853119i | ||||
\(539\) | 6.44757 | + | 24.3896i | 0.277716 | + | 1.05054i | ||||
\(540\) | 0.0491721 | + | 1.19750i | 0.00211603 | + | 0.0515324i | ||||
\(541\) | 3.28498 | − | 0.698243i | 0.141232 | − | 0.0300198i | −0.136753 | − | 0.990605i | \(-0.543667\pi\) |
0.277985 | + | 0.960585i | \(0.410333\pi\) | |||||||
\(542\) | 4.83498 | + | 1.85598i | 0.207680 | + | 0.0797210i | ||||
\(543\) | −4.90363 | + | 1.31392i | −0.210435 | + | 0.0563859i | ||||
\(544\) | 0.0864500 | − | 0.822517i | 0.00370651 | − | 0.0352651i | ||||
\(545\) | 11.9451 | − | 26.0320i | 0.511672 | − | 1.11509i | ||||
\(546\) | 10.5188 | − | 12.2742i | 0.450164 | − | 0.525287i | ||||
\(547\) | −6.75980 | + | 42.6797i | −0.289028 | + | 1.82485i | 0.233650 | + | 0.972321i | \(0.424933\pi\) |
−0.522678 | + | 0.852530i | \(0.675067\pi\) | |||||||
\(548\) | 0.860623 | − | 0.0451034i | 0.0367640 | − | 0.00192672i | ||||
\(549\) | 4.70680 | − | 8.15242i | 0.200882 | − | 0.347937i | ||||
\(550\) | −15.0016 | − | 19.4079i | −0.639670 | − | 0.827555i | ||||
\(551\) | 26.6912 | − | 15.4102i | 1.13708 | − | 0.656496i | ||||
\(552\) | −3.44033 | + | 6.75203i | −0.146430 | + | 0.287386i | ||||
\(553\) | 1.49430 | + | 2.18205i | 0.0635441 | + | 0.0927903i | ||||
\(554\) | −5.37363 | − | 7.39617i | −0.228304 | − | 0.314233i | ||||
\(555\) | 3.33447 | − | 2.93470i | 0.141540 | − | 0.124571i | ||||
\(556\) | −0.433391 | − | 0.973413i | −0.0183799 | − | 0.0412819i | ||||
\(557\) | −3.82777 | − | 14.2854i | −0.162188 | − | 0.605293i | −0.998382 | − | 0.0568601i | \(-0.981891\pi\) |
0.836194 | − | 0.548433i | \(-0.184776\pi\) | |||||||
\(558\) | −13.6377 | − | 16.8412i | −0.577330 | − | 0.712943i | ||||
\(559\) | −9.24717 | + | 28.4599i | −0.391114 | + | 1.20372i | ||||
\(560\) | 1.42768 | + | 21.7517i | 0.0603307 | + | 0.919176i | ||||
\(561\) | −0.727407 | − | 2.23873i | −0.0307112 | − | 0.0945192i | ||||
\(562\) | 2.42297 | − | 3.73104i | 0.102207 | − | 0.157384i | ||||
\(563\) | 8.84078 | + | 0.463325i | 0.372594 | + | 0.0195268i | 0.237714 | − | 0.971335i | \(-0.423602\pi\) |
0.134880 | + | 0.990862i | \(0.456935\pi\) | |||||||
\(564\) | −0.0978362 | + | 0.460283i | −0.00411965 | + | 0.0193814i | ||||
\(565\) | 13.9300 | − | 16.8095i | 0.586041 | − | 0.707179i | ||||
\(566\) | −6.45330 | − | 2.09680i | −0.271252 | − | 0.0881353i | ||||
\(567\) | −1.86189 | + | 13.9615i | −0.0781922 | + | 0.586327i | ||||
\(568\) | −18.1814 | − | 18.1814i | −0.762873 | − | 0.762873i | ||||
\(569\) | −16.4720 | − | 1.73128i | −0.690542 | − | 0.0725789i | −0.247244 | − | 0.968953i | \(-0.579525\pi\) |
−0.443298 | + | 0.896374i | \(0.646192\pi\) | |||||||
\(570\) | 8.44933 | + | 2.85150i | 0.353904 | + | 0.119436i | ||||
\(571\) | 1.21684 | + | 11.5775i | 0.0509233 | + | 0.484502i | 0.990028 | + | 0.140871i | \(0.0449903\pi\) |
−0.939105 | + | 0.343631i | \(0.888343\pi\) | |||||||
\(572\) | −1.30022 | − | 3.38718i | −0.0543648 | − | 0.141625i | ||||
\(573\) | 0.749877 | + | 0.382081i | 0.0313265 | + | 0.0159617i | ||||
\(574\) | 14.8935 | + | 15.7473i | 0.621643 | + | 0.657279i | ||||
\(575\) | −12.8030 | + | 15.0982i | −0.533921 | + | 0.629639i | ||||
\(576\) | 10.9247 | + | 18.9221i | 0.455194 | + | 0.788419i | ||||
\(577\) | −20.5125 | − | 31.5864i | −0.853946 | − | 1.31496i | −0.947634 | − | 0.319359i | \(-0.896532\pi\) |
0.0936880 | − | 0.995602i | \(-0.470134\pi\) | |||||||
\(578\) | 13.7116 | − | 16.9324i | 0.570326 | − | 0.704294i | ||||
\(579\) | 8.67350 | + | 3.86169i | 0.360458 | + | 0.160486i | ||||
\(580\) | −2.05702 | − | 0.943892i | −0.0854132 | − | 0.0391930i | ||||
\(581\) | −14.0728 | + | 33.8141i | −0.583837 | + | 1.40285i | ||||
\(582\) | 8.38407 | − | 8.38407i | 0.347531 | − | 0.347531i | ||||
\(583\) | 24.7341 | − | 20.0293i | 1.02438 | − | 0.829528i | ||||
\(584\) | −10.1187 | − | 11.2380i | −0.418715 | − | 0.465030i | ||||
\(585\) | 18.2829 | − | 34.8998i | 0.755905 | − | 1.44293i | ||||
\(586\) | −14.8402 | − | 13.3622i | −0.613043 | − | 0.551986i | ||||
\(587\) | −28.8080 | + | 14.6784i | −1.18903 | + | 0.605843i | −0.932668 | − | 0.360736i | \(-0.882526\pi\) |
−0.256367 | + | 0.966580i | \(0.582526\pi\) | |||||||
\(588\) | −0.0726432 | + | 0.669539i | −0.00299575 | + | 0.0276113i | ||||
\(589\) | 26.3410 | − | 8.55870i | 1.08536 | − | 0.352655i | ||||
\(590\) | −3.10698 | + | 7.82792i | −0.127912 | + | 0.322271i | ||||
\(591\) | −7.01228 | + | 6.31389i | −0.288447 | + | 0.259719i | ||||
\(592\) | 4.00518 | − | 10.4338i | 0.164612 | − | 0.428828i | ||||
\(593\) | −0.721886 | − | 0.193429i | −0.0296443 | − | 0.00794316i | 0.243966 | − | 0.969784i | \(-0.421551\pi\) |
−0.273611 | + | 0.961841i | \(0.588218\pi\) | |||||||
\(594\) | 14.4815 | + | 10.5214i | 0.594181 | + | 0.431698i | ||||
\(595\) | −2.88247 | + | 5.14812i | −0.118170 | + | 0.211052i | ||||
\(596\) | 1.27986 | − | 0.929872i | 0.0524251 | − | 0.0380890i | ||||
\(597\) | 1.28995 | − | 0.495164i | 0.0527940 | − | 0.0202657i | ||||
\(598\) | 30.9760 | − | 20.1160i | 1.26670 | − | 0.822606i | ||||
\(599\) | 30.0127 | + | 17.3279i | 1.22629 | + | 0.707997i | 0.966251 | − | 0.257602i | \(-0.0829323\pi\) |
0.260036 | + | 0.965599i | \(0.416266\pi\) | |||||||
\(600\) | −2.75054 | − | 9.16644i | −0.112290 | − | 0.374218i | ||||
\(601\) | − | 20.7380i | − | 0.845922i | −0.906148 | − | 0.422961i | \(-0.860991\pi\) | ||
0.906148 | − | 0.422961i | \(-0.139009\pi\) | |||||||
\(602\) | 4.44137 | + | 15.0867i | 0.181017 | + | 0.614888i | ||||
\(603\) | −35.8194 | − | 5.67323i | −1.45868 | − | 0.231032i | ||||
\(604\) | −0.0860883 | + | 0.193357i | −0.00350288 | + | 0.00786760i | ||||
\(605\) | 4.44566 | + | 0.0503305i | 0.180742 | + | 0.00204623i | ||||
\(606\) | 7.44088 | − | 3.31289i | 0.302265 | − | 0.134577i | ||||
\(607\) | −4.20723 | + | 15.7016i | −0.170766 | + | 0.637308i | 0.826468 | + | 0.562984i | \(0.190347\pi\) |
−0.997234 | + | 0.0743240i | \(0.976320\pi\) | |||||||
\(608\) | −3.66388 | + | 0.580302i | −0.148590 | + | 0.0235343i | ||||
\(609\) | 9.82765 | + | 6.77865i | 0.398236 | + | 0.274685i | ||||
\(610\) | −3.00619 | + | 10.7318i | −0.121717 | + | 0.434517i | ||||
\(611\) | 22.4282 | − | 24.9091i | 0.907349 | − | 1.00771i | ||||
\(612\) | −0.0197139 | + | 0.376164i | −0.000796887 | + | 0.0152055i | ||||
\(613\) | 0.193868 | − | 3.69923i | 0.00783026 | − | 0.149410i | −0.991916 | − | 0.126894i | \(-0.959499\pi\) |
0.999746 | − | 0.0225158i | \(-0.00716762\pi\) | |||||||
\(614\) | −4.03691 | + | 4.48345i | −0.162917 | + | 0.180937i | ||||
\(615\) | −7.33651 | − | 4.88335i | −0.295837 | − | 0.196916i | ||||
\(616\) | −22.9392 | − | 15.8224i | −0.924247 | − | 0.637503i | ||||
\(617\) | 0.473002 | − | 0.0749161i | 0.0190423 | − | 0.00301601i | −0.146906 | − | 0.989150i | \(-0.546931\pi\) |
0.165948 | + | 0.986134i | \(0.446931\pi\) | |||||||
\(618\) | 1.45075 | − | 5.41426i | 0.0583576 | − | 0.217793i | ||||
\(619\) | −24.2549 | + | 10.7990i | −0.974887 | + | 0.434048i | −0.831443 | − | 0.555611i | \(-0.812484\pi\) |
−0.143444 | + | 0.989658i | \(0.545818\pi\) | |||||||
\(620\) | −1.63178 | − | 1.21402i | −0.0655339 | − | 0.0487561i | ||||
\(621\) | 5.87550 | − | 13.1966i | 0.235776 | − | 0.529561i | ||||
\(622\) | 7.04010 | + | 1.11504i | 0.282282 | + | 0.0447091i | ||||
\(623\) | −1.28735 | − | 4.37294i | −0.0515765 | − | 0.175198i | ||||
\(624\) | 16.5373i | 0.662022i | ||||||||
\(625\) | −1.48504 | − | 24.9559i | −0.0594016 | − | 0.998234i | ||||
\(626\) | −9.44480 | − | 5.45296i | −0.377490 | − | 0.217944i | ||||
\(627\) | −8.85478 | + | 5.75036i | −0.353626 | + | 0.229647i | ||||
\(628\) | −2.08679 | + | 0.801045i | −0.0832721 | + | 0.0319652i | ||||
\(629\) | 2.44730 | − | 1.77807i | 0.0975803 | − | 0.0708962i | ||||
\(630\) | −2.43563 | − | 20.5623i | −0.0970377 | − | 0.819223i | ||||
\(631\) | −13.2040 | − | 9.59330i | −0.525645 | − | 0.381903i | 0.293081 | − | 0.956088i | \(-0.405319\pi\) |
−0.818726 | + | 0.574184i | \(0.805319\pi\) | |||||||
\(632\) | −2.82181 | − | 0.756102i | −0.112246 | − | 0.0300761i | ||||
\(633\) | −1.96234 | + | 5.11208i | −0.0779961 | + | 0.203187i | ||||
\(634\) | −6.42726 | + | 5.78713i | −0.255259 | + | 0.229836i | ||||
\(635\) | −10.7684 | − | 0.686667i | −0.427331 | − | 0.0272496i | ||||
\(636\) | 0.808058 | − | 0.262554i | 0.0320416 | − | 0.0104109i | ||||
\(637\) | 28.3268 | − | 38.7147i | 1.12235 | − | 1.53393i | ||||
\(638\) | −30.1179 | + | 15.3458i | −1.19238 | + | 0.607547i | ||||
\(639\) | 16.8100 | + | 15.1358i | 0.664994 | + | 0.598763i | ||||
\(640\) | −15.4904 | − | 15.8451i | −0.612311 | − | 0.626334i | ||||
\(641\) | −26.4913 | − | 29.4215i | −1.04634 | − | 1.16208i | −0.986481 | − | 0.163874i | \(-0.947601\pi\) |
−0.0598609 | − | 0.998207i | \(-0.519066\pi\) | |||||||
\(642\) | −4.75154 | + | 3.84772i | −0.187528 | + | 0.151857i | ||||
\(643\) | −1.27966 | + | 1.27966i | −0.0504649 | + | 0.0504649i | −0.731889 | − | 0.681424i | \(-0.761361\pi\) |
0.681424 | + | 0.731889i | \(0.261361\pi\) | |||||||
\(644\) | −0.591254 | + | 1.42067i | −0.0232987 | + | 0.0559821i | ||||
\(645\) | −3.13445 | − | 5.57380i | −0.123419 | − | 0.219468i | ||||
\(646\) | 5.54790 | + | 2.47008i | 0.218279 | + | 0.0971841i | ||||
\(647\) | −7.91208 | + | 9.77061i | −0.311056 | + | 0.384122i | −0.908567 | − | 0.417738i | \(-0.862823\pi\) |
0.597511 | + | 0.801860i | \(0.296156\pi\) | |||||||
\(648\) | −8.47384 | − | 13.0486i | −0.332884 | − | 0.512596i | ||||
\(649\) | −4.98570 | − | 8.63548i | −0.195706 | − | 0.338972i | ||||
\(650\) | −10.7284 | + | 45.3941i | −0.420803 | + | 1.78050i | ||||
\(651\) | 7.37204 | + | 7.79466i | 0.288933 | + | 0.305497i | ||||
\(652\) | 1.99422 | + | 1.01611i | 0.0780996 | + | 0.0397938i | ||||
\(653\) | 12.7671 | + | 33.2594i | 0.499615 | + | 1.30154i | 0.919187 | + | 0.393821i | \(0.128847\pi\) |
−0.419572 | + | 0.907722i | \(0.637820\pi\) | |||||||
\(654\) | −1.19368 | − | 11.3571i | −0.0466766 | − | 0.444098i | ||||
\(655\) | 25.8569 | − | 8.07896i | 1.01031 | − | 0.315671i | ||||
\(656\) | −22.0527 | − | 2.31783i | −0.861013 | − | 0.0904962i | ||||
\(657\) | 9.40702 | + | 9.40702i | 0.367003 | + | 0.367003i | ||||
\(658\) | 2.32860 | − | 17.4611i | 0.0907784 | − | 0.680705i | ||||
\(659\) | 40.6379 | + | 13.2041i | 1.58303 | + | 0.514357i | 0.962834 | − | 0.270092i | \(-0.0870542\pi\) |
0.620193 | + | 0.784449i | \(0.287054\pi\) | |||||||
\(660\) | 0.720630 | + | 0.286025i | 0.0280505 | + | 0.0111335i | ||||
\(661\) | −8.91071 | + | 41.9216i | −0.346586 | + | 1.63056i | 0.367161 | + | 0.930157i | \(0.380330\pi\) |
−0.713748 | + | 0.700403i | \(0.753004\pi\) | |||||||
\(662\) | −28.5702 | − | 1.49730i | −1.11041 | − | 0.0581942i | ||||
\(663\) | −2.43787 | + | 3.75399i | −0.0946790 | + | 0.145793i | ||||
\(664\) | −12.5020 | − | 38.4773i | −0.485173 | − | 1.49321i | ||||
\(665\) | 25.6502 | + | 6.51182i | 0.994673 | + | 0.252518i | ||||
\(666\) | −3.28055 | + | 10.0965i | −0.127119 | + | 0.391232i | ||||
\(667\) | 17.1669 | + | 21.1994i | 0.664705 | + | 0.820842i | ||||
\(668\) | 0.221973 | + | 0.828416i | 0.00858841 | + | 0.0320524i | ||||
\(669\) | −2.74265 | − | 6.16009i | −0.106037 | − | 0.238163i | ||||
\(670\) | 42.7485 | − | 4.00431i | 1.65152 | − | 0.154700i | ||||
\(671\) | −7.75597 | − | 10.6752i | −0.299416 | − | 0.412110i | ||||
\(672\) | −0.811908 | − | 1.18559i | −0.0313200 | − | 0.0457351i | ||||
\(673\) | 1.16847 | − | 2.29326i | 0.0450413 | − | 0.0883986i | −0.867389 | − | 0.497631i | \(-0.834203\pi\) |
0.912430 | + | 0.409232i | \(0.134203\pi\) | |||||||
\(674\) | −11.0238 | + | 6.36462i | −0.424623 | + | 0.245156i | ||||
\(675\) | 6.15049 | + | 17.1751i | 0.236733 | + | 0.661069i | ||||
\(676\) | −2.49469 | + | 4.32093i | −0.0959497 | + | 0.166190i | ||||
\(677\) | −20.2362 | + | 1.06054i | −0.777741 | + | 0.0407597i | −0.437076 | − | 0.899425i | \(-0.643986\pi\) |
−0.340666 | + | 0.940184i | \(0.610652\pi\) | |||||||
\(678\) | 1.36165 | − | 8.59712i | 0.0522939 | − | 0.330170i | ||||
\(679\) | 22.8968 | − | 26.7179i | 0.878700 | − | 1.02534i | ||||
\(680\) | −1.28279 | − | 6.38993i | −0.0491928 | − | 0.245043i | ||||
\(681\) | 0.358051 | − | 3.40663i | 0.0137205 | − | 0.130542i | ||||
\(682\) | −29.3410 | + | 7.86188i | −1.12352 | + | 0.301047i | ||||
\(683\) | 6.07130 | + | 2.33055i | 0.232312 | + | 0.0891762i | 0.471739 | − | 0.881738i | \(-0.343626\pi\) |
−0.239427 | + | 0.970914i | \(0.576960\pi\) | |||||||
\(684\) | 1.65260 | − | 0.351271i | 0.0631887 | − | 0.0134312i | ||||
\(685\) | 12.2991 | − | 4.56210i | 0.469923 | − | 0.174309i | ||||
\(686\) | 0.786774 | − | 25.1991i | 0.0300392 | − | 0.962105i | ||||
\(687\) | −7.16528 | − | 14.0627i | −0.273373 | − | 0.536524i | ||||
\(688\) | −13.4936 | − | 8.76284i | −0.514438 | − | 0.334080i | ||||
\(689\) | −59.1976 | − | 12.5828i | −2.25525 | − | 0.479368i | ||||
\(690\) | −1.32286 | + | 7.78107i | −0.0503606 | + | 0.296220i | ||||
\(691\) | 4.25124 | + | 20.0005i | 0.161725 | + | 0.760855i | 0.981999 | + | 0.188885i | \(0.0604873\pi\) |
−0.820275 | + | 0.571970i | \(0.806179\pi\) | |||||||
\(692\) | −0.0187509 | − | 0.118389i | −0.000712803 | − | 0.00450046i | ||||
\(693\) | 20.8813 | + | 12.8443i | 0.793216 | + | 0.487916i | ||||
\(694\) | 14.5867 | − | 20.0769i | 0.553703 | − | 0.762107i | ||||
\(695\) | −10.7155 | − | 12.1751i | −0.406461 | − | 0.461829i | ||||
\(696\) | −13.1155 | + | 1.37849i | −0.497141 | + | 0.0522516i | ||||
\(697\) | −4.66431 | − | 3.77708i | −0.176673 | − | 0.143067i | ||||
\(698\) | −1.47881 | − | 28.2175i | −0.0559739 | − | 1.06805i | ||||
\(699\) | −6.68311 | −0.252779 | ||||||||
\(700\) | −0.699804 | − | 1.81296i | −0.0264501 | − | 0.0685234i | ||||
\(701\) | 40.8116 | 1.54143 | 0.770717 | − | 0.637178i | \(-0.219898\pi\) | ||||
0.770717 | + | 0.637178i | \(0.219898\pi\) | |||||||
\(702\) | −1.78140 | − | 33.9911i | −0.0672346 | − | 1.28291i | ||||
\(703\) | −10.5444 | − | 8.53871i | −0.397691 | − | 0.322044i | ||||
\(704\) | 30.4588 | − | 3.20135i | 1.14796 | − | 0.120655i | ||||
\(705\) | 0.668017 | + | 7.13149i | 0.0251590 | + | 0.268587i | ||||
\(706\) | 15.0062 | − | 20.6542i | 0.564765 | − | 0.777332i | ||||
\(707\) | 21.2616 | − | 11.4980i | 0.799626 | − | 0.432427i | ||||
\(708\) | −0.0416420 | − | 0.262917i | −0.00156500 | − | 0.00988103i | ||||
\(709\) | −6.86073 | − | 32.2772i | −0.257660 | − | 1.21220i | −0.896566 | − | 0.442910i | \(-0.853946\pi\) |
0.638906 | − | 0.769285i | \(-0.279387\pi\) | |||||||
\(710\) | −23.7222 | − | 12.4273i | −0.890278 | − | 0.466389i | ||||
\(711\) | 2.51387 | + | 0.534339i | 0.0942773 | + | 0.0200393i | ||||
\(712\) | 4.22304 | + | 2.74247i | 0.158265 | + | 0.102778i | ||||
\(713\) | 11.1289 | + | 21.8418i | 0.416782 | + | 0.817981i | ||||
\(714\) | 0.0576348 | + | 2.35173i | 0.00215693 | + | 0.0880112i | ||||
\(715\) | −34.2667 | − | 43.3093i | −1.28150 | − | 1.61968i | ||||
\(716\) | 0.284114 | − | 0.0603902i | 0.0106178 | − | 0.00225689i | ||||
\(717\) | −17.5420 | − | 6.73376i | −0.655119 | − | 0.251477i | ||||
\(718\) | −2.96329 | + | 0.794012i | −0.110589 | + | 0.0296323i | ||||
\(719\) | 1.46687 | − | 13.9564i | 0.0547051 | − | 0.520484i | −0.932516 | − | 0.361128i | \(-0.882392\pi\) |
0.987221 | − | 0.159356i | \(-0.0509417\pi\) | |||||||
\(720\) | 15.5807 | + | 14.3516i | 0.580660 | + | 0.534854i | ||||
\(721\) | 3.05879 | − | 16.3507i | 0.113915 | − | 0.608930i | ||||
\(722\) | 0.215010 | − | 1.35752i | 0.00800184 | − | 0.0505216i | ||||
\(723\) | −5.29732 | + | 0.277621i | −0.197009 | + | 0.0103248i | ||||
\(724\) | 0.569354 | − | 0.986150i | 0.0211599 | − | 0.0366500i | ||||
\(725\) | −34.1709 | − | 4.37573i | −1.26907 | − | 0.162511i | ||||
\(726\) | 1.53514 | − | 0.886316i | 0.0569746 | − | 0.0328943i | ||||
\(727\) | −6.09289 | + | 11.9580i | −0.225973 | + | 0.443496i | −0.975958 | − | 0.217958i | \(-0.930060\pi\) |
0.749985 | + | 0.661454i | \(0.230060\pi\) | |||||||
\(728\) | 4.06892 | + | 52.8334i | 0.150804 | + | 1.95814i | ||||
\(729\) | 3.83166 | + | 5.27383i | 0.141914 | + | 0.195327i | ||||
\(730\) | −13.5501 | − | 8.02901i | −0.501510 | − | 0.297167i | ||||
\(731\) | −1.77128 | − | 3.97835i | −0.0655130 | − | 0.147145i | ||||
\(732\) | −0.0911709 | − | 0.340255i | −0.00336977 | − | 0.0125762i | ||||
\(733\) | −19.3207 | − | 23.8591i | −0.713628 | − | 0.881257i | 0.283344 | − | 0.959018i | \(-0.408556\pi\) |
−0.996972 | + | 0.0777611i | \(0.975223\pi\) | |||||||
\(734\) | −4.10015 | + | 12.6190i | −0.151339 | + | 0.465774i | ||||
\(735\) | 1.98396 | + | 10.0574i | 0.0731794 | + | 0.370971i | ||||
\(736\) | −1.01458 | − | 3.12255i | −0.0373979 | − | 0.115099i | ||||
\(737\) | −27.6865 | + | 42.6335i | −1.01985 | + | 1.57042i | ||||
\(738\) | 21.0341 | + | 1.10235i | 0.774276 | + | 0.0405781i | ||||
\(739\) | −5.15551 | + | 24.2548i | −0.189648 | + | 0.892225i | 0.775668 | + | 0.631141i | \(0.217413\pi\) |
−0.965316 | + | 0.261084i | \(0.915920\pi\) | |||||||
\(740\) | −0.0634057 | + | 0.994335i | −0.00233084 | + | 0.0365525i | ||||
\(741\) | 19.0941 | + | 6.20405i | 0.701439 | + | 0.227911i | ||||
\(742\) | −29.4057 | + | 12.1225i | −1.07952 | + | 0.445031i | ||||
\(743\) | −0.916200 | − | 0.916200i | −0.0336121 | − | 0.0336121i | 0.690101 | − | 0.723713i | \(-0.257566\pi\) |
−0.723713 | + | 0.690101i | \(0.757566\pi\) | |||||||
\(744\) | −11.7861 | − | 1.23877i | −0.432101 | − | 0.0454156i | ||||
\(745\) | 14.3736 | − | 19.3198i | 0.526610 | − | 0.707824i | ||||
\(746\) | 0.340493 | + | 3.23958i | 0.0124663 | + | 0.118609i | ||||
\(747\) | 12.7550 | + | 33.2279i | 0.466681 | + | 1.21575i | ||||
\(748\) | 0.470451 | + | 0.239707i | 0.0172014 | + | 0.00876455i | ||||
\(749\) | −13.1824 | + | 12.4676i | −0.481673 | + | 0.455558i | ||||
\(750\) | −5.58166 | − | 8.25832i | −0.203813 | − | 0.301551i | ||||
\(751\) | −8.30560 | − | 14.3857i | −0.303076 | − | 0.524942i | 0.673755 | − | 0.738954i | \(-0.264680\pi\) |
−0.976831 | + | 0.214012i | \(0.931347\pi\) | |||||||
\(752\) | 9.81528 | + | 15.1142i | 0.357926 | + | 0.551158i | ||||
\(753\) | −6.08700 | + | 7.51681i | −0.221822 | + | 0.273928i | ||||
\(754\) | 58.7191 | + | 26.1434i | 2.13842 | + | 0.952088i | ||||
\(755\) | −0.373011 | + | 3.20005i | −0.0135753 | + | 0.116462i | ||||
\(756\) | 0.861396 | + | 1.12650i | 0.0313287 | + | 0.0409704i | ||||
\(757\) | −21.3401 | + | 21.3401i | −0.775621 | + | 0.775621i | −0.979083 | − | 0.203462i | \(-0.934781\pi\) |
0.203462 | + | 0.979083i | \(0.434781\pi\) | |||||||
\(758\) | 27.8154 | − | 22.5244i | 1.01030 | − | 0.818124i | ||||
\(759\) | −6.25287 | − | 6.94451i | −0.226965 | − | 0.252070i | ||||
\(760\) | −26.1949 | + | 12.9756i | −0.950190 | + | 0.470674i | ||||
\(761\) | −12.3286 | − | 11.1007i | −0.446910 | − | 0.402400i | 0.414710 | − | 0.909954i | \(-0.363883\pi\) |
−0.861620 | + | 0.507554i | \(0.830550\pi\) | |||||||
\(762\) | −3.83326 | + | 1.95314i | −0.138864 | + | 0.0707549i | ||||
\(763\) | −6.11994 | − | 33.3322i | −0.221557 | − | 1.20671i | ||||
\(764\) | −0.179537 | + | 0.0583350i | −0.00649541 | + | 0.00211049i | ||||
\(765\) | 1.42118 | + | 5.55470i | 0.0513828 | + | 0.200830i | ||||
\(766\) | −0.689382 | + | 0.620722i | −0.0249084 | + | 0.0224276i | ||||
\(767\) | −6.79503 | + | 17.7017i | −0.245354 | + | 0.639170i | ||||
\(768\) | 2.21803 | + | 0.594318i | 0.0800361 | + | 0.0214456i | ||||
\(769\) | 19.4798 | + | 14.1529i | 0.702460 | + | 0.510367i | 0.880732 | − | 0.473614i | \(-0.157051\pi\) |
−0.178273 | + | 0.983981i | \(0.557051\pi\) | |||||||
\(770\) | −27.7194 | − | 8.60432i | −0.998938 | − | 0.310078i | ||||
\(771\) | 3.99637 | − | 2.90353i | 0.143926 | − | 0.104568i | ||||
\(772\) | −1.98817 | + | 0.763188i | −0.0715559 | + | 0.0274678i | ||||
\(773\) | −6.27790 | + | 4.07691i | −0.225800 | + | 0.146636i | −0.652582 | − | 0.757718i | \(-0.726314\pi\) |
0.426781 | + | 0.904355i | \(0.359647\pi\) | |||||||
\(774\) | 13.2355 | + | 7.64149i | 0.475738 | + | 0.274668i | ||||
\(775\) | −29.2188 | − | 10.2307i | −1.04957 | − | 0.367499i | ||||
\(776\) | 38.8680i | 1.39528i | ||||||||
\(777\) | 1.23552 | − | 5.10853i | 0.0443239 | − | 0.183267i | ||||
\(778\) | −35.8220 | − | 5.67364i | −1.28428 | − | 0.203410i | ||||
\(779\) | −10.9494 | + | 24.5927i | −0.392301 | + | 0.881123i | ||||
\(780\) | −0.439682 | − | 1.40721i | −0.0157431 | − | 0.0503863i | ||||
\(781\) | 28.9658 | − | 12.8964i | 1.03648 | − | 0.461470i | ||||
\(782\) | −1.39116 | + | 5.19187i | −0.0497477 | + | 0.185661i | ||||
\(783\) | 24.8295 | − | 3.93260i | 0.887333 | − | 0.140540i | ||||
\(784\) | 16.1643 | + | 20.0987i | 0.577296 | + | 0.717812i | ||||
\(785\) | −26.6822 | + | 21.1112i | −0.952330 | + | 0.753492i | ||||
\(786\) | 7.22718 | − | 8.02659i | 0.257785 | − | 0.286299i | ||||
\(787\) | −0.485380 | + | 9.26160i | −0.0173019 | + | 0.330140i | 0.976241 | + | 0.216686i | \(0.0695248\pi\) |
−0.993543 | + | 0.113454i | \(0.963808\pi\) | |||||||
\(788\) | 0.110771 | − | 2.11363i | 0.00394604 | − | 0.0752949i | ||||
\(789\) | 7.86237 | − | 8.73204i | 0.279908 | − | 0.310869i | ||||
\(790\) | −3.04012 | + | 0.124834i | −0.108163 | + | 0.00444139i | ||||
\(791\) | 2.06988 | − | 25.7480i | 0.0735964 | − | 0.915494i | ||||
\(792\) | −26.7468 | + | 4.23628i | −0.950407 | + | 0.150530i | ||||
\(793\) | −6.49411 | + | 24.2364i | −0.230613 | + | 0.860658i | ||||
\(794\) | 41.8610 | − | 18.6377i | 1.48559 | − | 0.661428i | ||||
\(795\) | 10.5482 | − | 7.48278i | 0.374108 | − | 0.265387i | ||||
\(796\) | −0.126058 | + | 0.283132i | −0.00446802 | + | 0.0100353i | ||||
\(797\) | 38.0317 | + | 6.02362i | 1.34715 | + | 0.213368i | 0.787988 | − | 0.615691i | \(-0.211123\pi\) |
0.559162 | + | 0.829058i | \(0.311123\pi\) | |||||||
\(798\) | 10.1219 | − | 2.97977i | 0.358310 | − | 0.105483i | ||||
\(799\) | 4.87788i | 0.172567i | ||||||||
\(800\) | 3.65091 | + | 1.96559i | 0.129079 | + | 0.0694940i | ||||
\(801\) | −3.83634 | − | 2.21491i | −0.135551 | − | 0.0782601i | ||||
\(802\) | 34.6976 | − | 22.5329i | 1.22522 | − | 0.795664i | ||||
\(803\) | 17.4092 | − | 6.68278i | 0.614359 | − | 0.235830i | ||||
\(804\) | −1.09789 | + | 0.797666i | −0.0387197 | + | 0.0281315i | ||||
\(805\) | −2.14107 | + | 23.3246i | −0.0754628 | + | 0.822084i | ||||
\(806\) | 46.7299 | + | 33.9512i | 1.64599 | + | 1.19588i | ||||
\(807\) | −10.3206 | − | 2.76539i | −0.363302 | − | 0.0973465i | ||||
\(808\) | −9.56853 | + | 24.9269i | −0.336620 | + | 0.876924i | ||||
\(809\) | −41.7849 | + | 37.6233i | −1.46908 | + | 1.32277i | −0.633008 | + | 0.774145i | \(0.718180\pi\) |
−0.836072 | + | 0.548620i | \(0.815153\pi\) | |||||||
\(810\) | −12.4773 | − | 10.3399i | −0.438406 | − | 0.363308i | ||||
\(811\) | −37.3508 | + | 12.1360i | −1.31156 | + | 0.426153i | −0.879590 | − | 0.475733i | \(-0.842183\pi\) |
−0.431974 | + | 0.901886i | \(0.642183\pi\) | |||||||
\(812\) | −2.63388 | + | 0.483592i | −0.0924311 | + | 0.0169708i | ||||
\(813\) | −2.22006 | + | 1.13118i | −0.0778610 | + | 0.0396722i | ||||
\(814\) | 11.0586 | + | 9.95719i | 0.387603 | + | 0.348999i | ||||
\(815\) | 33.5862 | + | 5.71001i | 1.17647 | + | 0.200013i | ||||
\(816\) | −1.61036 | − | 1.78848i | −0.0563738 | − | 0.0626095i | ||||
\(817\) | −15.1798 | + | 12.2924i | −0.531075 | + | 0.430056i | ||||
\(818\) | 18.9198 | − | 18.9198i | 0.661516 | − | 0.661516i | ||||
\(819\) | −6.00723 | − | 46.2285i | −0.209910 | − | 1.61536i | ||||
\(820\) | 1.93816 | − | 0.389090i | 0.0676834 | − | 0.0135876i | ||||
\(821\) | −9.40564 | − | 4.18766i | −0.328259 | − | 0.146150i | 0.235989 | − | 0.971756i | \(-0.424167\pi\) |
−0.564248 | + | 0.825605i | \(0.690834\pi\) | |||||||
\(822\) | 3.29148 | − | 4.06464i | 0.114804 | − | 0.141771i | ||||
\(823\) | −2.77331 | − | 4.27053i | −0.0966716 | − | 0.148861i | 0.787025 | − | 0.616921i | \(-0.211620\pi\) |
−0.883697 | + | 0.468059i | \(0.844953\pi\) | |||||||
\(824\) | 9.18728 | + | 15.9128i | 0.320054 | + | 0.554350i | ||||
\(825\) | 11.7683 | + | 0.884298i | 0.409720 | + | 0.0307873i | ||||
\(826\) | 2.31003 | + | 9.69358i | 0.0803763 | + | 0.337283i | ||||
\(827\) | 47.9120 | + | 24.4124i | 1.66606 | + | 0.848902i | 0.994118 | + | 0.108300i | \(0.0345408\pi\) |
0.671945 | + | 0.740601i | \(0.265459\pi\) | |||||||
\(828\) | 0.535889 | + | 1.39604i | 0.0186234 | + | 0.0485157i | ||||
\(829\) | 3.19208 | + | 30.3706i | 0.110866 | + | 1.05482i | 0.898590 | + | 0.438789i | \(0.144592\pi\) |
−0.787725 | + | 0.616027i | \(0.788741\pi\) | |||||||
\(830\) | −24.3804 | − | 34.3683i | −0.846256 | − | 1.19294i | ||||
\(831\) | 4.37426 | + | 0.459753i | 0.151741 | + | 0.0159487i | ||||
\(832\) | −41.1804 | − | 41.1804i | −1.42767 | − | 1.42767i | ||||
\(833\) | 0.706433 | + | 6.94532i | 0.0244764 | + | 0.240641i | ||||
\(834\) | −6.15013 | − | 1.99830i | −0.212961 | − | 0.0691954i | ||||
\(835\) | 6.98561 | + | 11.0282i | 0.241747 | + | 0.381648i | ||||
\(836\) | 0.492383 | − | 2.31648i | 0.0170294 | − | 0.0801172i | ||||
\(837\) | 22.5600 | + | 1.18232i | 0.779788 | + | 0.0408669i | ||||
\(838\) | −16.6866 | + | 25.6950i | −0.576427 | + | 0.887620i | ||||
\(839\) | 5.20568 | + | 16.0214i | 0.179720 | + | 0.553121i | 0.999818 | − | 0.0191024i | \(-0.00608084\pi\) |
−0.820097 | + | 0.572224i | \(0.806081\pi\) | |||||||
\(840\) | −8.89328 | − | 7.00958i | −0.306847 | − | 0.241853i | ||||
\(841\) | −5.70811 | + | 17.5678i | −0.196831 | + | 0.605785i | ||||
\(842\) | −7.20878 | − | 8.90211i | −0.248431 | − | 0.306787i | ||||
\(843\) | 0.553957 | + | 2.06739i | 0.0190793 | + | 0.0712048i | ||||
\(844\) | −0.499571 | − | 1.12205i | −0.0171959 | − | 0.0386227i | ||||
\(845\) | −16.6300 | + | 74.1026i | −0.572088 | + | 2.54921i | ||||
\(846\) | −10.0620 | − | 13.8492i | −0.345939 | − | 0.476144i | ||||
\(847\) | 4.34032 | − | 2.97231i | 0.149135 | − | 0.102130i | ||||
\(848\) | 14.7726 | − | 28.9928i | 0.507293 | − | 0.995618i | ||||
\(849\) | 2.82714 | − | 1.63225i | 0.0970272 | − | 0.0560187i | ||||
\(850\) | −3.26009 | − | 5.95400i | −0.111820 | − | 0.204221i | ||||
\(851\) | 6.00444 | − | 10.4000i | 0.205830 | − | 0.356507i | ||||
\(852\) | 0.845285 | − | 0.0442995i | 0.0289590 | − | 0.00151768i | ||||
\(853\) | 6.94371 | − | 43.8409i | 0.237748 | − | 1.50108i | −0.523167 | − | 0.852230i | \(-0.675249\pi\) |
0.760915 | − | 0.648852i | \(-0.224751\pi\) | |||||||
\(854\) | 4.38099 | + | 12.4378i | 0.149914 | + | 0.425613i | ||||
\(855\) | 22.4157 | − | 12.6055i | 0.766600 | − | 0.431100i | ||||
\(856\) | 2.09502 | − | 19.9328i | 0.0716063 | − | 0.681289i | ||||
\(857\) | 26.3229 | − | 7.05321i | 0.899174 | − | 0.240933i | 0.220512 | − | 0.975384i | \(-0.429227\pi\) |
0.678661 | + | 0.734451i | \(0.262560\pi\) | |||||||
\(858\) | −20.5565 | − | 7.89091i | −0.701788 | − | 0.269391i | ||||
\(859\) | −51.7675 | + | 11.0035i | −1.76628 | + | 0.375435i | −0.972525 | − | 0.232799i | \(-0.925212\pi\) |
−0.793758 | + | 0.608234i | \(0.791878\pi\) | |||||||
\(860\) | 1.38119 | + | 0.386900i | 0.0470983 | + | 0.0131932i | ||||
\(861\) | −10.4247 | + | 0.255483i | −0.355273 | + | 0.00870684i | ||||
\(862\) | −5.47262 | − | 10.7406i | −0.186398 | − | 0.365827i | ||||
\(863\) | −19.0573 | − | 12.3760i | −0.648719 | − | 0.421283i | 0.177897 | − | 0.984049i | \(-0.443071\pi\) |
−0.826616 | + | 0.562766i | \(0.809737\pi\) | |||||||
\(864\) | −2.95962 | − | 0.629086i | −0.100688 | − | 0.0214019i | ||||
\(865\) | −0.809854 | − | 1.63492i | −0.0275359 | − | 0.0555891i | ||||
\(866\) | −1.92661 | − | 9.06399i | −0.0654689 | − | 0.308007i | ||||
\(867\) | 1.63979 | + | 10.3532i | 0.0556902 | + | 0.351614i | ||||
\(868\) | −2.40555 | − | 0.0670296i | −0.0816497 | − | 0.00227513i | ||||
\(869\) | 2.11747 | − | 2.91445i | 0.0718303 | − | 0.0988659i | ||||
\(870\) | −12.6104 | + | 5.44430i | −0.427532 | + | 0.184579i | ||||
\(871\) | 96.1347 | − | 10.1042i | 3.25740 | − | 0.342366i | ||||
\(872\) | 29.0923 | + | 23.5585i | 0.985190 | + | 0.797791i | ||||
\(873\) | −1.78956 | − | 34.1468i | −0.0605673 | − | 1.15569i | ||||
\(874\) | 24.1085 | 0.815484 | ||||||||
\(875\) | −18.3973 | − | 23.1634i | −0.621941 | − | 0.783064i | ||||
\(876\) | 0.497819 | 0.0168197 | ||||||||
\(877\) | 1.01832 | + | 19.4307i | 0.0343861 | + | 0.656127i | 0.960398 | + | 0.278632i | \(0.0898810\pi\) |
−0.926012 | + | 0.377495i | \(0.876786\pi\) | |||||||
\(878\) | 9.53767 | + | 7.72345i | 0.321881 | + | 0.260654i | ||||
\(879\) | 9.55480 | − | 1.00425i | 0.322275 | − | 0.0338725i | ||||
\(880\) | 27.2608 | − | 11.7694i | 0.918962 | − | 0.396745i | ||||
\(881\) | −22.4359 | + | 30.8804i | −0.755886 | + | 1.04039i | 0.241659 | + | 0.970361i | \(0.422308\pi\) |
−0.997545 | + | 0.0700265i | \(0.977692\pi\) | |||||||
\(882\) | −16.3324 | − | 18.2618i | −0.549940 | − | 0.614906i | ||||
\(883\) | −7.81845 | − | 49.3637i | −0.263112 | − | 1.66122i | −0.665984 | − | 0.745966i | \(-0.731988\pi\) |
0.402873 | − | 0.915256i | \(-0.368012\pi\) | |||||||
\(884\) | −0.208746 | − | 0.982074i | −0.00702090 | − | 0.0330307i | ||||
\(885\) | −1.79852 | − | 3.63083i | −0.0604567 | − | 0.122049i | ||||
\(886\) | 15.5047 | + | 3.29563i | 0.520891 | + | 0.110719i | ||||
\(887\) | 26.5223 | + | 17.2238i | 0.890532 | + | 0.578318i | 0.906805 | − | 0.421550i | \(-0.138514\pi\) |
−0.0162737 | + | 0.999868i | \(0.505180\pi\) | |||||||
\(888\) | 2.63572 | + | 5.17289i | 0.0884489 | + | 0.173591i | ||||
\(889\) | −10.8970 | + | 6.65259i | −0.365474 | + | 0.223121i | ||||
\(890\) | 5.05013 | + | 1.41464i | 0.169281 | + | 0.0474190i | ||||
\(891\) | 18.7668 | − | 3.98901i | 0.628712 | − | 0.133637i | ||||
\(892\) | 1.41204 | + | 0.542031i | 0.0472786 | + | 0.0181486i | ||||
\(893\) | 21.1332 | − | 5.66263i | 0.707196 | − | 0.189493i | ||||
\(894\) | 1.00358 | − | 9.54838i | 0.0335646 | − | 0.319346i | ||||
\(895\) | 3.85369 | − | 2.16713i | 0.128815 | − | 0.0724393i | ||||
\(896\) | −25.7718 | − | 4.82125i | −0.860975 | − | 0.161067i | ||||
\(897\) | −2.77976 | + | 17.5507i | −0.0928134 | + | 0.586001i | ||||
\(898\) | −9.07649 | + | 0.475678i | −0.302886 | + | 0.0158736i | ||||
\(899\) | −21.3301 | + | 36.9449i | −0.711399 | + | 1.23218i | ||||
\(900\) | −1.70738 | − | 0.806977i | −0.0569128 | − | 0.0268992i | ||||
\(901\) | 7.62741 | − | 4.40369i | 0.254106 | − | 0.146708i | ||||
\(902\) | 13.4038 | − | 26.3064i | 0.446297 | − | 0.875907i | ||||
\(903\) | −6.82376 | − | 3.26883i | −0.227080 | − | 0.108780i | ||||
\(904\) | 16.7716 | + | 23.0841i | 0.557814 | + | 0.767765i | ||||
\(905\) | 3.79539 | − | 16.9122i | 0.126163 | − | 0.562179i | ||||
\(906\) | 0.522462 | + | 1.17347i | 0.0173576 | + | 0.0389859i | ||||
\(907\) | 0.872580 | + | 3.25651i | 0.0289735 | + | 0.108131i | 0.978898 | − | 0.204348i | \(-0.0655074\pi\) |
−0.949925 | + | 0.312479i | \(0.898841\pi\) | |||||||
\(908\) | 0.483526 | + | 0.597105i | 0.0160464 | + | 0.0198156i | ||||
\(909\) | 7.25858 | − | 22.3396i | 0.240752 | − | 0.740958i | ||||
\(910\) | 20.4560 | + | 51.2597i | 0.678110 | + | 1.69924i | ||||
\(911\) | 0.771586 | + | 2.37470i | 0.0255638 | + | 0.0786772i | 0.963024 | − | 0.269414i | \(-0.0868300\pi\) |
−0.937461 | + | 0.348091i | \(0.886830\pi\) | |||||||
\(912\) | −5.87910 | + | 9.05303i | −0.194677 | + | 0.299776i | ||||
\(913\) | 49.8215 | + | 2.61103i | 1.64885 | + | 0.0864126i | ||||
\(914\) | 1.61409 | − | 7.59372i | 0.0533895 | − | 0.251178i | ||||
\(915\) | −2.86919 | − | 4.52962i | −0.0948526 | − | 0.149745i | ||||
\(916\) | 3.36691 | + | 1.09397i | 0.111246 | + | 0.0361459i | ||||
\(917\) | 19.5552 | − | 25.3965i | 0.645769 | − | 0.838667i | ||||
\(918\) | 3.50262 | + | 3.50262i | 0.115604 | + | 0.115604i | ||||
\(919\) | −27.0905 | − | 2.84732i | −0.893632 | − | 0.0939245i | −0.353431 | − | 0.935461i | \(-0.614985\pi\) |
−0.540201 | + | 0.841536i | \(0.681652\pi\) | |||||||
\(920\) | −14.9699 | − | 21.1026i | −0.493543 | − | 0.695732i | ||||
\(921\) | −0.303399 | − | 2.88665i | −0.00999734 | − | 0.0951183i | ||||
\(922\) | −3.29151 | − | 8.57467i | −0.108400 | − | 0.282392i | ||||
\(923\) | −53.7209 | − | 27.3722i | −1.76824 | − | 0.900966i | ||||
\(924\) | 0.892379 | − | 0.212659i | 0.0293571 | − | 0.00699596i | ||||
\(925\) | 3.59259 | + | 14.7343i | 0.118124 | + | 0.484462i | ||||
\(926\) | 28.9092 | + | 50.0721i | 0.950014 | + | 1.64547i | ||||
\(927\) | −8.80399 | − | 13.5569i | −0.289161 | − | 0.445269i | ||||
\(928\) | 3.59576 | − | 4.44040i | 0.118037 | − | 0.145763i | ||||
\(929\) | 37.8502 | + | 16.8520i | 1.24183 | + | 0.552896i | 0.919260 | − | 0.393651i | \(-0.128788\pi\) |
0.322565 | + | 0.946547i | \(0.395455\pi\) | |||||||
\(930\) | −12.1018 | + | 2.42946i | −0.396834 | + | 0.0796653i | ||||
\(931\) | 29.2702 | − | 11.1233i | 0.959293 | − | 0.364550i | ||||
\(932\) | 1.05999 | − | 1.05999i | 0.0347211 | − | 0.0347211i | ||||
\(933\) | −2.66503 | + | 2.15810i | −0.0872493 | + | 0.0706531i | ||||
\(934\) | 3.26518 | + | 3.62635i | 0.106840 | + | 0.118658i | ||||
\(935\) | 7.92324 | + | 1.34703i | 0.259118 | + | 0.0440527i | ||||
\(936\) | 38.2677 | + | 34.4564i | 1.25082 | + | 1.12624i | ||||
\(937\) | −33.1975 | + | 16.9150i | −1.08452 | + | 0.552588i | −0.902492 | − | 0.430706i | \(-0.858265\pi\) |
−0.182023 | + | 0.983294i | \(0.558265\pi\) | |||||||
\(938\) | 38.6855 | − | 32.9285i | 1.26313 | − | 1.07515i | ||||
\(939\) | 4.99010 | − | 1.62138i | 0.162846 | − | 0.0529118i | ||||
\(940\) | −1.23706 | − | 1.02515i | −0.0403484 | − | 0.0334368i | ||||
\(941\) | 24.7151 | − | 22.2536i | 0.805691 | − | 0.725447i | −0.159442 | − | 0.987207i | \(-0.550970\pi\) |
0.965133 | + | 0.261760i | \(0.0843029\pi\) | |||||||
\(942\) | −4.86147 | + | 12.6646i | −0.158395 | + | 0.412634i | ||||
\(943\) | −23.0145 | − | 6.16671i | −0.749455 | − | 0.200816i | ||||
\(944\) | −8.24764 | − | 5.99226i | −0.268438 | − | 0.195032i | ||||
\(945\) | 17.6288 | + | 12.4564i | 0.573465 | + | 0.405206i | ||||
\(946\) | 17.3311 | − | 12.5918i | 0.563484 | − | 0.409395i | ||||
\(947\) | 15.3985 | − | 5.91093i | 0.500384 | − | 0.192079i | −0.0950675 | − | 0.995471i | \(-0.530307\pi\) |
0.595451 | + | 0.803392i | \(0.296973\pi\) | |||||||
\(948\) | 0.0806553 | − | 0.0523782i | 0.00261956 | − | 0.00170116i | ||||
\(949\) | −30.7090 | − | 17.7298i | −0.996855 | − | 0.575535i | ||||
\(950\) | −22.0109 | + | 21.0361i | −0.714128 | + | 0.682501i | ||||
\(951\) | − | 4.16096i | − | 0.134928i | ||||||
\(952\) | −5.58482 | − | 5.31763i | −0.181005 | − | 0.172345i | ||||
\(953\) | 23.6472 | + | 3.74535i | 0.766009 | + | 0.121324i | 0.527198 | − | 0.849742i | \(-0.323243\pi\) |
0.238810 | + | 0.971066i | \(0.423243\pi\) | |||||||
\(954\) | −12.5717 | + | 28.2366i | −0.407025 | + | 0.914192i | ||||
\(955\) | −2.34364 | + | 1.66255i | −0.0758384 | + | 0.0537987i | ||||
\(956\) | 3.85032 | − | 1.71427i | 0.124528 | − | 0.0554435i | ||||
\(957\) | 4.20902 | − | 15.7083i | 0.136058 | − | 0.507776i | ||||
\(958\) | −29.2204 | + | 4.62806i | −0.944068 | + | 0.149526i | ||||
\(959\) | 8.81283 | − | 12.7768i | 0.284581 | − | 0.412584i | ||||
\(960\) | 12.4346 | − | 0.510592i | 0.401325 | − | 0.0164793i | ||||
\(961\) | −4.90897 | + | 5.45196i | −0.158354 | + | 0.175870i | ||||
\(962\) | 1.48092 | − | 28.2577i | 0.0477469 | − | 0.911064i | ||||
\(963\) | −0.922799 | + | 17.6081i | −0.0297368 | + | 0.567412i | ||||
\(964\) | 0.796161 | − | 0.884226i | 0.0256426 | − | 0.0284790i | ||||
\(965\) | −25.4213 | + | 20.1135i | −0.818340 | + | 0.647478i | ||||
\(966\) | 4.00631 | + | 8.43578i | 0.128901 | + | 0.271417i | ||||
\(967\) | −19.7981 | + | 3.13572i | −0.636665 | + | 0.100838i | −0.466419 | − | 0.884564i | \(-0.654456\pi\) |
−0.170246 | + | 0.985402i | \(0.554456\pi\) | |||||||
\(968\) | −1.50396 | + | 5.61286i | −0.0483392 | + | 0.180404i | ||||
\(969\) | −2.66913 | + | 1.18837i | −0.0857448 | + | 0.0381760i | ||||
\(970\) | 12.0731 | + | 38.6401i | 0.387642 | + | 1.24066i | ||||
\(971\) | −8.58616 | + | 19.2848i | −0.275543 | + | 0.618880i | −0.997313 | − | 0.0732528i | \(-0.976662\pi\) |
0.721770 | + | 0.692133i | \(0.243329\pi\) | |||||||
\(972\) | 2.09406 | + | 0.331666i | 0.0671670 | + | 0.0106382i | ||||
\(973\) | −18.6528 | − | 4.51124i | −0.597980 | − | 0.144624i | ||||
\(974\) | − | 16.4741i | − | 0.527864i | ||||||
\(975\) | −12.7761 | − | 18.4491i | −0.409163 | − | 0.590846i | ||||
\(976\) | −11.6833 | − | 6.74533i | −0.373972 | − | 0.215913i | ||||
\(977\) | −32.7964 | + | 21.2982i | −1.04925 | + | 0.681390i | −0.949546 | − | 0.313627i | \(-0.898456\pi\) |
−0.0997026 | + | 0.995017i | \(0.531789\pi\) | |||||||
\(978\) | 12.6810 | − | 4.86779i | 0.405495 | − | 0.155655i | ||||
\(979\) | −5.02349 | + | 3.64978i | −0.160551 | + | 0.116647i | ||||
\(980\) | −1.90984 | − | 1.28050i | −0.0610076 | − | 0.0409041i | ||||
\(981\) | −26.6432 | − | 19.3574i | −0.850652 | − | 0.618035i | ||||
\(982\) | 42.2858 | + | 11.3304i | 1.34939 | + | 0.361569i | ||||
\(983\) | −12.8109 | + | 33.3735i | −0.408604 | + | 1.06445i | 0.562712 | + | 0.826653i | \(0.309758\pi\) |
−0.971315 | + | 0.237796i | \(0.923575\pi\) | |||||||
\(984\) | 8.56013 | − | 7.70758i | 0.272887 | − | 0.245709i | ||||
\(985\) | −7.98547 | − | 31.2113i | −0.254438 | − | 0.994475i | ||||
\(986\) | −8.89616 | + | 2.89054i | −0.283311 | + | 0.0920535i | ||||
\(987\) | 5.49327 | + | 6.45368i | 0.174853 | + | 0.205423i | ||||
\(988\) | −4.01247 | + | 2.04446i | −0.127654 | + | 0.0650428i | ||||
\(989\) | −12.8475 | − | 11.5680i | −0.408528 | − | 0.367840i | ||||
\(990\) | −25.2741 | + | 12.5195i | −0.803264 | + | 0.397894i | ||||
\(991\) | 38.4732 | + | 42.7288i | 1.22214 | + | 1.35732i | 0.913860 | + | 0.406029i | \(0.133087\pi\) |
0.308281 | + | 0.951295i | \(0.400246\pi\) | |||||||
\(992\) | 3.99034 | − | 3.23131i | 0.126693 | − | 0.102594i | ||||
\(993\) | 9.73272 | − | 9.73272i | 0.308859 | − | 0.308859i | ||||
\(994\) | −31.4226 | + | 4.08325i | −0.996664 | + | 0.129513i | ||||
\(995\) | −0.546197 | + | 4.68580i | −0.0173156 | + | 0.148550i | ||||
\(996\) | 1.21671 | + | 0.541712i | 0.0385528 | + | 0.0171648i | ||||
\(997\) | 33.1714 | − | 40.9632i | 1.05055 | − | 1.29732i | 0.0972591 | − | 0.995259i | \(-0.468992\pi\) |
0.953289 | − | 0.302060i | \(-0.0976742\pi\) | |||||||
\(998\) | 29.5560 | + | 45.5122i | 0.935577 | + | 1.44066i | ||||
\(999\) | −5.53350 | − | 9.58430i | −0.175072 | − | 0.303234i |
(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 | 175.2.x.a.108.14 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.857.5 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.857.14 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.143.5 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.33.14 | ✓ | 288 | |
25.3 | odd | 20 | 875.2.bb.c.507.5 | 288 | |||
25.4 | even | 10 | 875.2.bb.a.493.5 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.493.14 | 288 | |||
25.22 | odd | 20 | inner | 175.2.x.a.122.14 | yes | 288 | |
35.12 | even | 12 | 875.2.bb.b.607.14 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.768.5 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.607.5 | 288 | |||
175.47 | even | 60 | inner | 175.2.x.a.47.14 | yes | 288 | |
175.54 | odd | 30 | 875.2.bb.a.243.14 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.243.5 | 288 | |||
175.103 | even | 60 | 875.2.bb.c.257.5 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.14 | ✓ | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.47.14 | yes | 288 | 175.47 | even | 60 | inner | |
175.2.x.a.108.14 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.122.14 | yes | 288 | 25.22 | odd | 20 | inner | |
875.2.bb.a.243.14 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.493.5 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.607.5 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.857.14 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.243.5 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.493.14 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.607.14 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.857.5 | 288 | 5.2 | odd | 4 | |||
875.2.bb.c.143.5 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.257.5 | 288 | 175.103 | even | 60 | |||
875.2.bb.c.507.5 | 288 | 25.3 | odd | 20 | |||
875.2.bb.c.768.5 | 288 | 35.19 | odd | 6 |