Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 79.9 | ||
Character | \(\chi\) | \(=\) | 378.79 |
Dual form | 378.2.v.b.67.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 1.40163 | − | 1.01757i | 0.809230 | − | 0.587492i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.289065 | − | 1.63937i | −0.129274 | − | 0.733149i | −0.978677 | − | 0.205404i | \(-0.934149\pi\) |
0.849403 | − | 0.527744i | \(-0.176962\pi\) | |||||||
\(6\) | 1.72779 | + | 0.121449i | 0.705366 | + | 0.0495811i | ||||
\(7\) | 1.93330 | + | 1.80620i | 0.730717 | + | 0.682681i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.929121 | − | 2.85250i | 0.309707 | − | 0.950832i | ||||
\(10\) | 0.832330 | − | 1.44164i | 0.263206 | − | 0.455886i | ||||
\(11\) | 0.472059 | − | 2.67718i | 0.142331 | − | 0.807199i | −0.827140 | − | 0.561995i | \(-0.810034\pi\) |
0.969471 | − | 0.245204i | \(-0.0788550\pi\) | |||||||
\(12\) | 1.24550 | + | 1.20364i | 0.359544 | + | 0.347460i | ||||
\(13\) | −0.391548 | − | 2.22058i | −0.108596 | − | 0.615878i | −0.989723 | − | 0.142999i | \(-0.954326\pi\) |
0.881127 | − | 0.472880i | \(-0.156786\pi\) | |||||||
\(14\) | 0.319985 | + | 2.62633i | 0.0855196 | + | 0.701916i | ||||
\(15\) | −2.07333 | − | 2.00364i | −0.535331 | − | 0.517339i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −3.56351 | + | 6.17218i | −0.864279 | + | 1.49697i | 0.00348325 | + | 0.999994i | \(0.498891\pi\) |
−0.867762 | + | 0.496980i | \(0.834442\pi\) | |||||||
\(18\) | 2.54530 | − | 1.58791i | 0.599932 | − | 0.374274i | ||||
\(19\) | 1.76602 | + | 3.05883i | 0.405152 | + | 0.701744i | 0.994339 | − | 0.106253i | \(-0.0338853\pi\) |
−0.589187 | + | 0.807997i | \(0.700552\pi\) | |||||||
\(20\) | 1.56427 | − | 0.569347i | 0.349781 | − | 0.127310i | ||||
\(21\) | 4.54769 | + | 0.564370i | 0.992387 | + | 0.123156i | ||||
\(22\) | 2.08247 | − | 1.74740i | 0.443985 | − | 0.372548i | ||||
\(23\) | −2.00945 | + | 1.68613i | −0.418999 | + | 0.351582i | −0.827782 | − | 0.561049i | \(-0.810398\pi\) |
0.408783 | + | 0.912632i | \(0.365953\pi\) | |||||||
\(24\) | 0.180424 | + | 1.72263i | 0.0368288 | + | 0.351630i | ||||
\(25\) | 2.09449 | − | 0.762331i | 0.418897 | − | 0.152466i | ||||
\(26\) | 1.12742 | − | 1.95275i | 0.221105 | − | 0.382965i | ||||
\(27\) | −1.60032 | − | 4.94358i | −0.307982 | − | 0.951392i | ||||
\(28\) | −1.44305 | + | 2.21757i | −0.272711 | + | 0.419081i | ||||
\(29\) | 1.52100 | − | 8.62604i | 0.282443 | − | 1.60182i | −0.431835 | − | 0.901953i | \(-0.642134\pi\) |
0.714278 | − | 0.699862i | \(-0.246755\pi\) | |||||||
\(30\) | −0.300344 | − | 2.86759i | −0.0548351 | − | 0.523548i | ||||
\(31\) | 1.52088 | + | 8.62534i | 0.273158 | + | 1.54916i | 0.744752 | + | 0.667341i | \(0.232568\pi\) |
−0.471594 | + | 0.881816i | \(0.656321\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −2.06255 | − | 4.23276i | −0.359044 | − | 0.736828i | ||||
\(34\) | −6.69721 | + | 2.43759i | −1.14856 | + | 0.418042i | ||||
\(35\) | 2.40219 | − | 3.69150i | 0.406044 | − | 0.623977i | ||||
\(36\) | 2.97050 | + | 0.419674i | 0.495083 | + | 0.0699457i | ||||
\(37\) | −9.89756 | −1.62715 | −0.813575 | − | 0.581460i | \(-0.802482\pi\) | ||||
−0.813575 | + | 0.581460i | \(0.802482\pi\) | |||||||
\(38\) | −0.613331 | + | 3.47837i | −0.0994954 | + | 0.564267i | ||||
\(39\) | −2.80839 | − | 2.71400i | −0.449703 | − | 0.434588i | ||||
\(40\) | 1.56427 | + | 0.569347i | 0.247333 | + | 0.0900217i | ||||
\(41\) | 0.959980 | + | 5.44432i | 0.149924 | + | 0.850260i | 0.963281 | + | 0.268495i | \(0.0865264\pi\) |
−0.813357 | + | 0.581765i | \(0.802363\pi\) | |||||||
\(42\) | 3.12096 | + | 3.35553i | 0.481575 | + | 0.517770i | ||||
\(43\) | −0.952500 | − | 0.799242i | −0.145255 | − | 0.121883i | 0.567265 | − | 0.823535i | \(-0.308002\pi\) |
−0.712520 | + | 0.701652i | \(0.752446\pi\) | |||||||
\(44\) | 2.71848 | 0.409826 | ||||||||
\(45\) | −4.94487 | − | 0.698615i | −0.737138 | − | 0.104143i | ||||
\(46\) | −2.62315 | −0.386762 | ||||||||
\(47\) | 0.104767 | − | 0.594161i | 0.0152818 | − | 0.0866672i | −0.976213 | − | 0.216814i | \(-0.930434\pi\) |
0.991495 | + | 0.130146i | \(0.0415447\pi\) | |||||||
\(48\) | −0.969071 | + | 1.43558i | −0.139873 | + | 0.207209i | ||||
\(49\) | 0.475260 | + | 6.98385i | 0.0678942 | + | 0.997693i | ||||
\(50\) | 2.09449 | + | 0.762331i | 0.296205 | + | 0.107810i | ||||
\(51\) | 1.28588 | + | 12.2772i | 0.180060 | + | 1.71915i | ||||
\(52\) | 2.11885 | − | 0.771200i | 0.293832 | − | 0.106946i | ||||
\(53\) | −2.22157 | − | 3.84788i | −0.305157 | − | 0.528547i | 0.672139 | − | 0.740425i | \(-0.265376\pi\) |
−0.977296 | + | 0.211878i | \(0.932042\pi\) | |||||||
\(54\) | 1.95175 | − | 4.81567i | 0.265600 | − | 0.655329i | ||||
\(55\) | −4.52534 | −0.610197 | ||||||||
\(56\) | −2.53087 | + | 0.771181i | −0.338201 | + | 0.103053i | ||||
\(57\) | 5.58786 | + | 2.49030i | 0.740130 | + | 0.329849i | ||||
\(58\) | 6.70987 | − | 5.63025i | 0.881049 | − | 0.739288i | ||||
\(59\) | −10.1977 | − | 3.71166i | −1.32763 | − | 0.483217i | −0.421733 | − | 0.906720i | \(-0.638578\pi\) |
−0.905895 | + | 0.423503i | \(0.860800\pi\) | |||||||
\(60\) | 1.61317 | − | 2.38976i | 0.208260 | − | 0.308517i | ||||
\(61\) | −1.63958 | + | 9.29853i | −0.209927 | + | 1.19055i | 0.679569 | + | 0.733612i | \(0.262167\pi\) |
−0.889496 | + | 0.456943i | \(0.848944\pi\) | |||||||
\(62\) | −4.37920 | + | 7.58500i | −0.556159 | + | 0.963296i | ||||
\(63\) | 6.94845 | − | 3.83654i | 0.875423 | − | 0.483358i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −3.52717 | + | 1.28379i | −0.437492 | + | 0.159234i | ||||
\(66\) | 1.14076 | − | 4.56826i | 0.140417 | − | 0.562314i | ||||
\(67\) | −0.796600 | + | 0.668427i | −0.0973202 | + | 0.0816613i | −0.690150 | − | 0.723667i | \(-0.742455\pi\) |
0.592829 | + | 0.805328i | \(0.298011\pi\) | |||||||
\(68\) | −6.69721 | − | 2.43759i | −0.812156 | − | 0.295601i | ||||
\(69\) | −1.10075 | + | 4.40807i | −0.132515 | + | 0.530669i | ||||
\(70\) | 4.21303 | − | 1.28375i | 0.503554 | − | 0.153438i | ||||
\(71\) | −0.486389 | − | 0.842451i | −0.0577238 | − | 0.0999805i | 0.835719 | − | 0.549157i | \(-0.185051\pi\) |
−0.893443 | + | 0.449176i | \(0.851718\pi\) | |||||||
\(72\) | 2.00577 | + | 2.23089i | 0.236383 | + | 0.262913i | ||||
\(73\) | −7.91654 | −0.926561 | −0.463281 | − | 0.886212i | \(-0.653328\pi\) | ||||
−0.463281 | + | 0.886212i | \(0.653328\pi\) | |||||||
\(74\) | −7.58197 | − | 6.36203i | −0.881386 | − | 0.739571i | ||||
\(75\) | 2.15997 | − | 3.19978i | 0.249412 | − | 0.369479i | ||||
\(76\) | −2.70569 | + | 2.27035i | −0.310364 | + | 0.260427i | ||||
\(77\) | 5.74815 | − | 4.32314i | 0.655063 | − | 0.492668i | ||||
\(78\) | −0.406826 | − | 3.88425i | −0.0460640 | − | 0.439804i | ||||
\(79\) | 0.606801 | + | 0.509166i | 0.0682704 | + | 0.0572857i | 0.676284 | − | 0.736641i | \(-0.263589\pi\) |
−0.608014 | + | 0.793926i | \(0.708034\pi\) | |||||||
\(80\) | 0.832330 | + | 1.44164i | 0.0930573 | + | 0.161180i | ||||
\(81\) | −7.27347 | − | 5.30063i | −0.808163 | − | 0.588958i | ||||
\(82\) | −2.76415 | + | 4.78765i | −0.305250 | + | 0.528708i | ||||
\(83\) | 1.53575 | − | 8.70965i | 0.168570 | − | 0.956008i | −0.776737 | − | 0.629826i | \(-0.783126\pi\) |
0.945307 | − | 0.326183i | \(-0.105763\pi\) | |||||||
\(84\) | 0.233902 | + | 4.57660i | 0.0255208 | + | 0.499348i | ||||
\(85\) | 11.1486 | + | 4.05775i | 1.20923 | + | 0.440125i | ||||
\(86\) | −0.215914 | − | 1.22451i | −0.0232826 | − | 0.132042i | ||||
\(87\) | −6.64568 | − | 13.6382i | −0.712492 | − | 1.46217i | ||||
\(88\) | 2.08247 | + | 1.74740i | 0.221992 | + | 0.186274i | ||||
\(89\) | 3.44098 | + | 5.95995i | 0.364743 | + | 0.631753i | 0.988735 | − | 0.149678i | \(-0.0478236\pi\) |
−0.623992 | + | 0.781431i | \(0.714490\pi\) | |||||||
\(90\) | −3.33893 | − | 3.71367i | −0.351954 | − | 0.391456i | ||||
\(91\) | 3.25384 | − | 5.00025i | 0.341095 | − | 0.524169i | ||||
\(92\) | −2.00945 | − | 1.68613i | −0.209500 | − | 0.175791i | ||||
\(93\) | 10.9086 | + | 10.5419i | 1.13116 | + | 1.09315i | ||||
\(94\) | 0.462175 | − | 0.387811i | 0.0476697 | − | 0.0399996i | ||||
\(95\) | 4.50406 | − | 3.77936i | 0.462107 | − | 0.387754i | ||||
\(96\) | −1.66513 | + | 0.476814i | −0.169946 | + | 0.0486646i | ||||
\(97\) | 13.0432 | + | 10.9446i | 1.32434 | + | 1.11125i | 0.985365 | + | 0.170458i | \(0.0545248\pi\) |
0.338976 | + | 0.940795i | \(0.389920\pi\) | |||||||
\(98\) | −4.12506 | + | 5.65543i | −0.416694 | + | 0.571285i | ||||
\(99\) | −7.19804 | − | 3.83397i | −0.723430 | − | 0.385328i | ||||
\(100\) | 1.11445 | + | 1.93029i | 0.111445 | + | 0.193029i | ||||
\(101\) | −3.63473 | − | 3.04990i | −0.361669 | − | 0.303476i | 0.443787 | − | 0.896132i | \(-0.353635\pi\) |
−0.805455 | + | 0.592656i | \(0.798079\pi\) | |||||||
\(102\) | −6.90659 | + | 10.2314i | −0.683855 | + | 1.01306i | ||||
\(103\) | −2.44199 | − | 13.8492i | −0.240617 | − | 1.36460i | −0.830456 | − | 0.557084i | \(-0.811920\pi\) |
0.589840 | − | 0.807520i | \(-0.299191\pi\) | |||||||
\(104\) | 2.11885 | + | 0.771200i | 0.207771 | + | 0.0756224i | ||||
\(105\) | −0.389367 | − | 7.61849i | −0.0379984 | − | 0.743488i | ||||
\(106\) | 0.771545 | − | 4.37565i | 0.0749391 | − | 0.425001i | ||||
\(107\) | −6.02453 | + | 10.4348i | −0.582413 | + | 1.00877i | 0.412779 | + | 0.910831i | \(0.364558\pi\) |
−0.995193 | + | 0.0979380i | \(0.968775\pi\) | |||||||
\(108\) | 4.59058 | − | 2.43445i | 0.441729 | − | 0.234255i | ||||
\(109\) | −0.493499 | − | 0.854765i | −0.0472686 | − | 0.0818717i | 0.841423 | − | 0.540377i | \(-0.181718\pi\) |
−0.888692 | + | 0.458505i | \(0.848385\pi\) | |||||||
\(110\) | −3.46661 | − | 2.90883i | −0.330529 | − | 0.277346i | ||||
\(111\) | −13.8727 | + | 10.0714i | −1.31674 | + | 0.955937i | ||||
\(112\) | −2.43446 | − | 1.03605i | −0.230035 | − | 0.0978975i | ||||
\(113\) | −5.24150 | + | 4.39814i | −0.493079 | + | 0.413742i | −0.855128 | − | 0.518417i | \(-0.826522\pi\) |
0.362049 | + | 0.932159i | \(0.382077\pi\) | |||||||
\(114\) | 2.67981 | + | 5.49949i | 0.250987 | + | 0.515074i | ||||
\(115\) | 3.34505 | + | 2.80683i | 0.311928 | + | 0.261738i | ||||
\(116\) | 8.75911 | 0.813263 | ||||||||
\(117\) | −6.69800 | − | 0.946298i | −0.619230 | − | 0.0874852i | ||||
\(118\) | −5.42608 | − | 9.39825i | −0.499512 | − | 0.865179i | ||||
\(119\) | −18.0375 | + | 5.49622i | −1.65350 | + | 0.503838i | ||||
\(120\) | 2.77187 | − | 0.793733i | 0.253036 | − | 0.0724576i | ||||
\(121\) | 3.39218 | + | 1.23465i | 0.308380 | + | 0.112241i | ||||
\(122\) | −7.23297 | + | 6.06918i | −0.654843 | + | 0.549478i | ||||
\(123\) | 6.88549 | + | 6.65407i | 0.620844 | + | 0.599977i | ||||
\(124\) | −8.23021 | + | 2.99555i | −0.739094 | + | 0.269008i | ||||
\(125\) | −6.01684 | − | 10.4215i | −0.538162 | − | 0.932124i | ||||
\(126\) | 7.78890 | + | 1.52742i | 0.693890 | + | 0.136074i | ||||
\(127\) | 4.91915 | − | 8.52021i | 0.436504 | − | 0.756047i | −0.560913 | − | 0.827875i | \(-0.689550\pi\) |
0.997417 | + | 0.0718278i | \(0.0228832\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −2.14833 | − | 0.151009i | −0.189150 | − | 0.0132956i | ||||
\(130\) | −3.52717 | − | 1.28379i | −0.309353 | − | 0.112595i | ||||
\(131\) | 16.9367 | − | 14.2116i | 1.47977 | − | 1.24167i | 0.573335 | − | 0.819321i | \(-0.305650\pi\) |
0.906433 | − | 0.422351i | \(-0.138795\pi\) | |||||||
\(132\) | 3.81029 | − | 2.76623i | 0.331643 | − | 0.240769i | ||||
\(133\) | −2.11064 | + | 9.10341i | −0.183016 | + | 0.789365i | ||||
\(134\) | −1.03989 | −0.0898326 | ||||||||
\(135\) | −7.64176 | + | 4.05254i | −0.657698 | + | 0.348787i | ||||
\(136\) | −3.56351 | − | 6.17218i | −0.305569 | − | 0.529260i | ||||
\(137\) | 4.27703 | − | 1.55671i | 0.365411 | − | 0.132999i | −0.152787 | − | 0.988259i | \(-0.548825\pi\) |
0.518199 | + | 0.855260i | \(0.326603\pi\) | |||||||
\(138\) | −3.67668 | + | 2.66923i | −0.312980 | + | 0.227220i | ||||
\(139\) | 9.92396 | + | 3.61203i | 0.841739 | + | 0.306368i | 0.726668 | − | 0.686989i | \(-0.241068\pi\) |
0.115072 | + | 0.993357i | \(0.463290\pi\) | |||||||
\(140\) | 4.05255 | + | 1.72467i | 0.342503 | + | 0.145761i | ||||
\(141\) | −0.457754 | − | 0.939399i | −0.0385498 | − | 0.0791116i | ||||
\(142\) | 0.168921 | − | 0.958000i | 0.0141756 | − | 0.0803936i | ||||
\(143\) | −6.12972 | −0.512593 | ||||||||
\(144\) | 0.102523 | + | 2.99825i | 0.00854361 | + | 0.249854i | ||||
\(145\) | −14.5809 | −1.21088 | ||||||||
\(146\) | −6.06442 | − | 5.08865i | −0.501895 | − | 0.421140i | ||||
\(147\) | 7.77266 | + | 9.30515i | 0.641078 | + | 0.767476i | ||||
\(148\) | −1.71869 | − | 9.74720i | −0.141276 | − | 0.801215i | ||||
\(149\) | 7.32767 | + | 2.66706i | 0.600307 | + | 0.218494i | 0.624256 | − | 0.781219i | \(-0.285402\pi\) |
−0.0239500 | + | 0.999713i | \(0.507624\pi\) | |||||||
\(150\) | 3.71141 | − | 1.06277i | 0.303036 | − | 0.0867751i | ||||
\(151\) | 2.91770 | − | 16.5471i | 0.237439 | − | 1.34658i | −0.599977 | − | 0.800017i | \(-0.704824\pi\) |
0.837416 | − | 0.546566i | \(-0.184065\pi\) | |||||||
\(152\) | −3.53203 | −0.286486 | ||||||||
\(153\) | 14.2952 | + | 15.8996i | 1.15570 | + | 1.28541i | ||||
\(154\) | 7.18220 | + | 0.383125i | 0.578758 | + | 0.0308731i | ||||
\(155\) | 13.7005 | − | 4.98657i | 1.10045 | − | 0.400531i | ||||
\(156\) | 2.18510 | − | 3.23701i | 0.174948 | − | 0.259168i | ||||
\(157\) | −9.60323 | − | 3.49529i | −0.766421 | − | 0.278954i | −0.0709223 | − | 0.997482i | \(-0.522594\pi\) |
−0.695499 | + | 0.718527i | \(0.744816\pi\) | |||||||
\(158\) | 0.137551 | + | 0.780088i | 0.0109429 | + | 0.0620605i | ||||
\(159\) | −7.02929 | − | 3.13270i | −0.557459 | − | 0.248439i | ||||
\(160\) | −0.289065 | + | 1.63937i | −0.0228526 | + | 0.129604i | ||||
\(161\) | −6.93035 | − | 0.369691i | −0.546188 | − | 0.0291357i | ||||
\(162\) | −2.16462 | − | 8.73581i | −0.170069 | − | 0.686350i | ||||
\(163\) | 9.74051 | − | 16.8711i | 0.762936 | − | 1.32144i | −0.178395 | − | 0.983959i | \(-0.557090\pi\) |
0.941331 | − | 0.337485i | \(-0.109576\pi\) | |||||||
\(164\) | −5.19491 | + | 1.89079i | −0.405654 | + | 0.147646i | ||||
\(165\) | −6.34284 | + | 4.60483i | −0.493790 | + | 0.358486i | ||||
\(166\) | 6.77491 | − | 5.68482i | 0.525835 | − | 0.441228i | ||||
\(167\) | 13.6941 | − | 11.4907i | 1.05968 | − | 0.889179i | 0.0656035 | − | 0.997846i | \(-0.479103\pi\) |
0.994078 | + | 0.108667i | \(0.0346583\pi\) | |||||||
\(168\) | −2.76260 | + | 3.65623i | −0.213140 | + | 0.282084i | ||||
\(169\) | 7.43833 | − | 2.70733i | 0.572179 | − | 0.208256i | ||||
\(170\) | 5.93204 | + | 10.2746i | 0.454966 | + | 0.788025i | ||||
\(171\) | 10.3661 | − | 2.19553i | 0.792719 | − | 0.167897i | ||||
\(172\) | 0.621700 | − | 1.07682i | 0.0474042 | − | 0.0821064i | ||||
\(173\) | −1.27575 | + | 0.464335i | −0.0969935 | + | 0.0353028i | −0.390061 | − | 0.920789i | \(-0.627546\pi\) |
0.293068 | + | 0.956092i | \(0.405324\pi\) | |||||||
\(174\) | 3.67559 | − | 14.7192i | 0.278646 | − | 1.11586i | ||||
\(175\) | 5.42618 | + | 2.30926i | 0.410181 | + | 0.174564i | ||||
\(176\) | 0.472059 | + | 2.67718i | 0.0355828 | + | 0.201800i | ||||
\(177\) | −18.0702 | + | 5.17447i | −1.35824 | + | 0.388937i | ||||
\(178\) | −1.19504 | + | 6.77740i | −0.0895719 | + | 0.507988i | ||||
\(179\) | −4.80449 | + | 8.32162i | −0.359104 | + | 0.621987i | −0.987811 | − | 0.155655i | \(-0.950251\pi\) |
0.628707 | + | 0.777642i | \(0.283584\pi\) | |||||||
\(180\) | −0.170667 | − | 4.99106i | −0.0127207 | − | 0.372012i | ||||
\(181\) | −2.78085 | + | 4.81657i | −0.206699 | + | 0.358013i | −0.950673 | − | 0.310196i | \(-0.899605\pi\) |
0.743974 | + | 0.668209i | \(0.232939\pi\) | |||||||
\(182\) | 5.70669 | − | 1.73889i | 0.423008 | − | 0.128895i | ||||
\(183\) | 7.16378 | + | 14.7015i | 0.529562 | + | 1.08676i | ||||
\(184\) | −0.455505 | − | 2.58330i | −0.0335803 | − | 0.190443i | ||||
\(185\) | 2.86104 | + | 16.2258i | 0.210348 | + | 1.19294i | ||||
\(186\) | 1.58022 | + | 15.0875i | 0.115868 | + | 1.10627i | ||||
\(187\) | 14.8418 | + | 12.4538i | 1.08534 | + | 0.910711i | ||||
\(188\) | 0.603326 | 0.0440021 | ||||||||
\(189\) | 5.83522 | − | 12.4479i | 0.424450 | − | 0.905452i | ||||
\(190\) | 5.87964 | 0.426554 | ||||||||
\(191\) | 13.0098 | + | 10.9165i | 0.941358 | + | 0.789894i | 0.977821 | − | 0.209441i | \(-0.0671646\pi\) |
−0.0364627 | + | 0.999335i | \(0.511609\pi\) | |||||||
\(192\) | −1.58205 | − | 0.705062i | −0.114175 | − | 0.0508835i | ||||
\(193\) | 3.86587 | + | 21.9244i | 0.278271 | + | 1.57816i | 0.728375 | + | 0.685179i | \(0.240276\pi\) |
−0.450103 | + | 0.892977i | \(0.648613\pi\) | |||||||
\(194\) | 2.95666 | + | 16.7681i | 0.212276 | + | 1.20388i | ||||
\(195\) | −3.63745 | + | 5.38852i | −0.260483 | + | 0.385880i | ||||
\(196\) | −6.79522 | + | 1.68077i | −0.485373 | + | 0.120055i | ||||
\(197\) | −0.401069 | + | 0.694672i | −0.0285750 | + | 0.0494934i | −0.879959 | − | 0.475049i | \(-0.842430\pi\) |
0.851384 | + | 0.524543i | \(0.175764\pi\) | |||||||
\(198\) | −3.04959 | − | 7.56380i | −0.216725 | − | 0.537536i | ||||
\(199\) | 1.19471 | − | 2.06930i | 0.0846908 | − | 0.146689i | −0.820569 | − | 0.571548i | \(-0.806343\pi\) |
0.905259 | + | 0.424859i | \(0.139676\pi\) | |||||||
\(200\) | −0.387045 | + | 2.19504i | −0.0273682 | + | 0.155213i | ||||
\(201\) | −0.436369 | + | 1.74748i | −0.0307791 | + | 0.123258i | ||||
\(202\) | −0.823926 | − | 4.67272i | −0.0579712 | − | 0.328771i | ||||
\(203\) | 18.5209 | − | 13.9294i | 1.29991 | − | 0.977655i | ||||
\(204\) | −11.8674 | + | 3.39826i | −0.830884 | + | 0.237926i | ||||
\(205\) | 8.64776 | − | 3.14753i | 0.603986 | − | 0.219833i | ||||
\(206\) | 7.03143 | − | 12.1788i | 0.489903 | − | 0.848537i | ||||
\(207\) | 2.94265 | + | 7.29857i | 0.204529 | + | 0.507285i | ||||
\(208\) | 1.12742 | + | 1.95275i | 0.0781724 | + | 0.135399i | ||||
\(209\) | 9.02269 | − | 3.28399i | 0.624113 | − | 0.227158i | ||||
\(210\) | 4.59880 | − | 6.08638i | 0.317347 | − | 0.420000i | ||||
\(211\) | 7.96237 | − | 6.68122i | 0.548152 | − | 0.459954i | −0.326163 | − | 0.945314i | \(-0.605756\pi\) |
0.874315 | + | 0.485360i | \(0.161311\pi\) | |||||||
\(212\) | 3.40365 | − | 2.85600i | 0.233764 | − | 0.196151i | ||||
\(213\) | −1.53899 | − | 0.685870i | −0.105450 | − | 0.0469950i | ||||
\(214\) | −11.3224 | + | 4.12102i | −0.773984 | + | 0.281707i | ||||
\(215\) | −1.03492 | + | 1.79253i | −0.0705809 | + | 0.122250i | ||||
\(216\) | 5.08143 | + | 1.08587i | 0.345747 | + | 0.0738842i | ||||
\(217\) | −12.6388 | + | 19.4223i | −0.857978 | + | 1.31848i | ||||
\(218\) | 0.171390 | − | 0.972003i | 0.0116080 | − | 0.0658324i | ||||
\(219\) | −11.0960 | + | 8.05560i | −0.749801 | + | 0.544347i | ||||
\(220\) | −0.785817 | − | 4.45659i | −0.0529798 | − | 0.300463i | ||||
\(221\) | 15.1011 | + | 5.49636i | 1.01581 | + | 0.369725i | ||||
\(222\) | −17.1009 | − | 1.20204i | −1.14774 | − | 0.0806759i | ||||
\(223\) | −2.39329 | + | 0.871087i | −0.160267 | + | 0.0583323i | −0.420908 | − | 0.907103i | \(-0.638288\pi\) |
0.260641 | + | 0.965436i | \(0.416066\pi\) | |||||||
\(224\) | −1.19895 | − | 2.35850i | −0.0801079 | − | 0.157584i | ||||
\(225\) | −0.228515 | − | 6.68281i | −0.0152343 | − | 0.445521i | ||||
\(226\) | −6.84229 | −0.455142 | ||||||||
\(227\) | −1.24310 | + | 7.04998i | −0.0825075 | + | 0.467923i | 0.915359 | + | 0.402638i | \(0.131907\pi\) |
−0.997867 | + | 0.0652850i | \(0.979204\pi\) | |||||||
\(228\) | −1.48215 | + | 5.93540i | −0.0981577 | + | 0.393082i | ||||
\(229\) | −12.2477 | − | 4.45780i | −0.809351 | − | 0.294580i | −0.0959950 | − | 0.995382i | \(-0.530603\pi\) |
−0.713356 | + | 0.700802i | \(0.752826\pi\) | |||||||
\(230\) | 0.758262 | + | 4.30032i | 0.0499983 | + | 0.283554i | ||||
\(231\) | 3.65770 | − | 11.9086i | 0.240659 | − | 0.783526i | ||||
\(232\) | 6.70987 | + | 5.63025i | 0.440524 | + | 0.369644i | ||||
\(233\) | 17.5676 | 1.15089 | 0.575447 | − | 0.817839i | \(-0.304828\pi\) | ||||
0.575447 | + | 0.817839i | \(0.304828\pi\) | |||||||
\(234\) | −4.52269 | − | 5.03029i | −0.295658 | − | 0.328841i | ||||
\(235\) | −1.00433 | −0.0655155 | ||||||||
\(236\) | 1.88446 | − | 10.6873i | 0.122668 | − | 0.695684i | ||||
\(237\) | 1.36862 | + | 0.0962020i | 0.0889013 | + | 0.00624899i | ||||
\(238\) | −17.3505 | − | 7.38395i | −1.12466 | − | 0.478631i | ||||
\(239\) | −0.201785 | − | 0.0734437i | −0.0130524 | − | 0.00475068i | 0.335486 | − | 0.942045i | \(-0.391100\pi\) |
−0.348538 | + | 0.937295i | \(0.613322\pi\) | |||||||
\(240\) | 2.63358 | + | 1.17369i | 0.169997 | + | 0.0757613i | ||||
\(241\) | 6.03653 | − | 2.19712i | 0.388847 | − | 0.141529i | −0.140196 | − | 0.990124i | \(-0.544773\pi\) |
0.529043 | + | 0.848595i | \(0.322551\pi\) | |||||||
\(242\) | 1.80494 | + | 3.12625i | 0.116026 | + | 0.200963i | ||||
\(243\) | −15.5884 | − | 0.0282727i | −0.999998 | − | 0.00181369i | ||||
\(244\) | −9.44197 | −0.604460 | ||||||||
\(245\) | 11.3117 | − | 2.79791i | 0.722680 | − | 0.178752i | ||||
\(246\) | 0.997438 | + | 9.52322i | 0.0635943 | + | 0.607178i | ||||
\(247\) | 6.10090 | − | 5.11926i | 0.388191 | − | 0.325731i | ||||
\(248\) | −8.23021 | − | 2.99555i | −0.522619 | − | 0.190218i | ||||
\(249\) | −6.71010 | − | 13.7704i | −0.425235 | − | 0.872664i | ||||
\(250\) | 2.08963 | − | 11.8509i | 0.132160 | − | 0.749514i | ||||
\(251\) | −8.78817 | + | 15.2216i | −0.554704 | + | 0.960776i | 0.443222 | + | 0.896412i | \(0.353835\pi\) |
−0.997926 | + | 0.0643640i | \(0.979498\pi\) | |||||||
\(252\) | 4.98484 | + | 6.17668i | 0.314015 | + | 0.389094i | ||||
\(253\) | 3.56549 | + | 6.17561i | 0.224160 | + | 0.388257i | ||||
\(254\) | 9.24497 | − | 3.36490i | 0.580081 | − | 0.211132i | ||||
\(255\) | 19.7552 | − | 5.65696i | 1.23712 | − | 0.354252i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 15.4259 | + | 5.61458i | 0.962243 | + | 0.350228i | 0.774912 | − | 0.632069i | \(-0.217794\pi\) |
0.187331 | + | 0.982297i | \(0.440016\pi\) | |||||||
\(258\) | −1.54865 | − | 1.49660i | −0.0964148 | − | 0.0931743i | ||||
\(259\) | −19.1349 | − | 17.8770i | −1.18899 | − | 1.11082i | ||||
\(260\) | −1.87677 | − | 3.25066i | −0.116392 | − | 0.201597i | ||||
\(261\) | −23.1925 | − | 12.3533i | −1.43558 | − | 0.764649i | ||||
\(262\) | 22.1093 | 1.36592 | ||||||||
\(263\) | −16.1539 | − | 13.5547i | −0.996089 | − | 0.835818i | −0.00965134 | − | 0.999953i | \(-0.503072\pi\) |
−0.986438 | + | 0.164135i | \(0.947517\pi\) | |||||||
\(264\) | 4.69695 | + | 0.330155i | 0.289077 | + | 0.0203196i | ||||
\(265\) | −5.66592 | + | 4.75427i | −0.348055 | + | 0.292053i | ||||
\(266\) | −7.46840 | + | 5.61692i | −0.457917 | + | 0.344396i | ||||
\(267\) | 10.8876 | + | 4.85221i | 0.666311 | + | 0.296950i | ||||
\(268\) | −0.796600 | − | 0.668427i | −0.0486601 | − | 0.0408307i | ||||
\(269\) | 4.06583 | + | 7.04222i | 0.247898 | + | 0.429371i | 0.962942 | − | 0.269707i | \(-0.0869270\pi\) |
−0.715045 | + | 0.699079i | \(0.753594\pi\) | |||||||
\(270\) | −8.45885 | − | 1.80761i | −0.514789 | − | 0.110007i | ||||
\(271\) | 0.278589 | − | 0.482530i | 0.0169231 | − | 0.0293116i | −0.857440 | − | 0.514584i | \(-0.827946\pi\) |
0.874363 | + | 0.485273i | \(0.161280\pi\) | |||||||
\(272\) | 1.23759 | − | 7.01875i | 0.0750402 | − | 0.425574i | ||||
\(273\) | −0.527411 | − | 10.3195i | −0.0319204 | − | 0.624564i | ||||
\(274\) | 4.27703 | + | 1.55671i | 0.258385 | + | 0.0940444i | ||||
\(275\) | −1.05217 | − | 5.96718i | −0.0634485 | − | 0.359834i | ||||
\(276\) | −4.53225 | − | 0.318578i | −0.272809 | − | 0.0191761i | ||||
\(277\) | −22.0507 | − | 18.5027i | −1.32490 | − | 1.11172i | −0.985242 | − | 0.171169i | \(-0.945245\pi\) |
−0.339654 | − | 0.940550i | \(-0.610310\pi\) | |||||||
\(278\) | 5.28043 | + | 9.14597i | 0.316699 | + | 0.548539i | ||||
\(279\) | 26.0168 | + | 3.67568i | 1.55759 | + | 0.220057i | ||||
\(280\) | 1.99584 | + | 3.92610i | 0.119274 | + | 0.234630i | ||||
\(281\) | −1.88720 | − | 1.58355i | −0.112581 | − | 0.0944664i | 0.584760 | − | 0.811207i | \(-0.301189\pi\) |
−0.697340 | + | 0.716740i | \(0.745633\pi\) | |||||||
\(282\) | 0.253174 | − | 1.01386i | 0.0150763 | − | 0.0603745i | ||||
\(283\) | 17.0380 | − | 14.2966i | 1.01280 | − | 0.849844i | 0.0240978 | − | 0.999710i | \(-0.492329\pi\) |
0.988706 | + | 0.149866i | \(0.0478842\pi\) | |||||||
\(284\) | 0.745192 | − | 0.625290i | 0.0442190 | − | 0.0371041i | ||||
\(285\) | 2.46727 | − | 9.88043i | 0.146149 | − | 0.585266i | ||||
\(286\) | −4.69564 | − | 3.94011i | −0.277659 | − | 0.232984i | ||||
\(287\) | −7.97762 | + | 12.2594i | −0.470904 | + | 0.723649i | ||||
\(288\) | −1.84870 | + | 2.36269i | −0.108936 | + | 0.139223i | ||||
\(289\) | −16.8972 | − | 29.2669i | −0.993955 | − | 1.72158i | ||||
\(290\) | −11.1696 | − | 9.37245i | −0.655904 | − | 0.550369i | ||||
\(291\) | 29.4186 | + | 2.06787i | 1.72455 | + | 0.121221i | ||||
\(292\) | −1.37469 | − | 7.79627i | −0.0804478 | − | 0.456242i | ||||
\(293\) | −12.9815 | − | 4.72489i | −0.758389 | − | 0.276031i | −0.0662575 | − | 0.997803i | \(-0.521106\pi\) |
−0.692131 | + | 0.721772i | \(0.743328\pi\) | |||||||
\(294\) | −0.0270302 | + | 12.1243i | −0.00157643 | + | 0.707105i | ||||
\(295\) | −3.13698 | + | 17.7907i | −0.182642 | + | 1.03582i | ||||
\(296\) | 4.94878 | − | 8.57154i | 0.287642 | − | 0.498211i | ||||
\(297\) | −13.9903 | + | 1.95068i | −0.811799 | + | 0.113190i | ||||
\(298\) | 3.89897 | + | 6.75322i | 0.225862 | + | 0.391204i | ||||
\(299\) | 4.53098 | + | 3.80195i | 0.262033 | + | 0.219872i | ||||
\(300\) | 3.52624 | + | 1.57152i | 0.203588 | + | 0.0907316i | ||||
\(301\) | −0.397869 | − | 3.26558i | −0.0229328 | − | 0.188225i | ||||
\(302\) | 12.8713 | − | 10.8003i | 0.740663 | − | 0.621490i | ||||
\(303\) | −8.19801 | − | 0.576249i | −0.470963 | − | 0.0331046i | ||||
\(304\) | −2.70569 | − | 2.27035i | −0.155182 | − | 0.130213i | ||||
\(305\) | 15.7177 | 0.899992 | ||||||||
\(306\) | 0.730686 | + | 21.3686i | 0.0417706 | + | 1.22156i | ||||
\(307\) | −2.51120 | − | 4.34952i | −0.143322 | − | 0.248240i | 0.785424 | − | 0.618958i | \(-0.212445\pi\) |
−0.928746 | + | 0.370718i | \(0.879112\pi\) | |||||||
\(308\) | 5.25562 | + | 4.91012i | 0.299467 | + | 0.279780i | ||||
\(309\) | −17.5153 | − | 16.9266i | −0.996408 | − | 0.962919i | ||||
\(310\) | 13.7005 | + | 4.98657i | 0.778136 | + | 0.283218i | ||||
\(311\) | −14.9273 | + | 12.5255i | −0.846448 | + | 0.710254i | −0.959004 | − | 0.283391i | \(-0.908541\pi\) |
0.112556 | + | 0.993645i | \(0.464096\pi\) | |||||||
\(312\) | 3.75459 | − | 1.07514i | 0.212562 | − | 0.0608677i | ||||
\(313\) | 3.40421 | − | 1.23903i | 0.192418 | − | 0.0700343i | −0.244014 | − | 0.969772i | \(-0.578464\pi\) |
0.436432 | + | 0.899737i | \(0.356242\pi\) | |||||||
\(314\) | −5.10977 | − | 8.85038i | −0.288361 | − | 0.499456i | ||||
\(315\) | −8.29806 | − | 10.2821i | −0.467543 | − | 0.579329i | ||||
\(316\) | −0.396061 | + | 0.685998i | −0.0222802 | + | 0.0385904i | ||||
\(317\) | −5.79125 | + | 32.8438i | −0.325269 | + | 1.84469i | 0.182510 | + | 0.983204i | \(0.441578\pi\) |
−0.507779 | + | 0.861487i | \(0.669533\pi\) | |||||||
\(318\) | −3.37109 | − | 6.91813i | −0.189041 | − | 0.387949i | ||||
\(319\) | −22.3754 | − | 8.14399i | −1.25278 | − | 0.455976i | ||||
\(320\) | −1.27520 | + | 1.07002i | −0.0712861 | + | 0.0598161i | ||||
\(321\) | 2.17394 | + | 20.7560i | 0.121337 | + | 1.15849i | ||||
\(322\) | −5.07132 | − | 4.73794i | −0.282614 | − | 0.264035i | ||||
\(323\) | −25.1729 | −1.40066 | ||||||||
\(324\) | 3.95707 | − | 8.08341i | 0.219837 | − | 0.449079i | ||||
\(325\) | −2.51291 | − | 4.35249i | −0.139391 | − | 0.241433i | ||||
\(326\) | 18.3062 | − | 6.66290i | 1.01389 | − | 0.369024i | ||||
\(327\) | −1.56148 | − | 0.695895i | −0.0863501 | − | 0.0384831i | ||||
\(328\) | −5.19491 | − | 1.89079i | −0.286841 | − | 0.104402i | ||||
\(329\) | 1.27572 | − | 0.959458i | 0.0703327 | − | 0.0528966i | ||||
\(330\) | −7.81883 | − | 0.549596i | −0.430412 | − | 0.0302543i | ||||
\(331\) | −0.617493 | + | 3.50198i | −0.0339405 | + | 0.192486i | −0.997064 | − | 0.0765739i | \(-0.975602\pi\) |
0.963123 | + | 0.269060i | \(0.0867130\pi\) | |||||||
\(332\) | 8.84401 | 0.485378 | ||||||||
\(333\) | −9.19603 | + | 28.2328i | −0.503939 | + | 1.54715i | ||||
\(334\) | 17.8764 | 0.978152 | ||||||||
\(335\) | 1.32607 | + | 1.11270i | 0.0724509 | + | 0.0607935i | ||||
\(336\) | −4.46646 | + | 1.02507i | −0.243665 | + | 0.0559220i | ||||
\(337\) | −6.23333 | − | 35.3510i | −0.339551 | − | 1.92569i | −0.376596 | − | 0.926378i | \(-0.622906\pi\) |
0.0370447 | − | 0.999314i | \(-0.488206\pi\) | |||||||
\(338\) | 7.43833 | + | 2.70733i | 0.404592 | + | 0.147259i | ||||
\(339\) | −2.87123 | + | 11.4981i | −0.155944 | + | 0.624492i | ||||
\(340\) | −2.06017 | + | 11.6838i | −0.111729 | + | 0.633645i | ||||
\(341\) | 23.8095 | 1.28936 | ||||||||
\(342\) | 9.35219 | + | 4.98135i | 0.505708 | + | 0.269361i | ||||
\(343\) | −11.6954 | + | 14.3603i | −0.631494 | + | 0.775381i | ||||
\(344\) | 1.16841 | − | 0.425268i | 0.0629966 | − | 0.0229289i | ||||
\(345\) | 7.54465 | + | 0.530324i | 0.406190 | + | 0.0285517i | ||||
\(346\) | −1.27575 | − | 0.464335i | −0.0685848 | − | 0.0249628i | ||||
\(347\) | −2.67501 | − | 15.1707i | −0.143602 | − | 0.814408i | −0.968479 | − | 0.249095i | \(-0.919867\pi\) |
0.824877 | − | 0.565312i | \(-0.191244\pi\) | |||||||
\(348\) | 12.2770 | − | 8.91297i | 0.658117 | − | 0.477785i | ||||
\(349\) | −3.89158 | + | 22.0703i | −0.208312 | + | 1.18139i | 0.683831 | + | 0.729640i | \(0.260312\pi\) |
−0.892143 | + | 0.451753i | \(0.850799\pi\) | |||||||
\(350\) | 2.67234 | + | 5.25688i | 0.142842 | + | 0.280992i | ||||
\(351\) | −10.3510 | + | 5.48929i | −0.552496 | + | 0.292997i | ||||
\(352\) | −1.35924 | + | 2.35427i | −0.0724477 | + | 0.125483i | ||||
\(353\) | −4.82607 | + | 1.75655i | −0.256866 | + | 0.0934915i | −0.467243 | − | 0.884129i | \(-0.654753\pi\) |
0.210378 | + | 0.977620i | \(0.432531\pi\) | |||||||
\(354\) | −17.1687 | − | 7.65146i | −0.912506 | − | 0.406670i | ||||
\(355\) | −1.24049 | + | 1.04090i | −0.0658384 | + | 0.0552450i | ||||
\(356\) | −5.27188 | + | 4.42363i | −0.279409 | + | 0.234452i | ||||
\(357\) | −19.6891 | + | 26.0580i | −1.04206 | + | 1.37914i | ||||
\(358\) | −9.02949 | + | 3.28646i | −0.477223 | + | 0.173695i | ||||
\(359\) | −16.8381 | − | 29.1644i | −0.888679 | − | 1.53924i | −0.841438 | − | 0.540353i | \(-0.818291\pi\) |
−0.0472402 | − | 0.998884i | \(-0.515043\pi\) | |||||||
\(360\) | 3.07746 | − | 3.93308i | 0.162196 | − | 0.207291i | ||||
\(361\) | 3.26237 | − | 5.65059i | 0.171704 | − | 0.297400i | ||||
\(362\) | −5.22628 | + | 1.90221i | −0.274687 | + | 0.0999780i | ||||
\(363\) | 6.01091 | − | 1.72124i | 0.315491 | − | 0.0903418i | ||||
\(364\) | 5.48931 | + | 2.33612i | 0.287718 | + | 0.122446i | ||||
\(365\) | 2.28840 | + | 12.9781i | 0.119780 | + | 0.679307i | ||||
\(366\) | −3.96214 | + | 15.8668i | −0.207104 | + | 0.829369i | ||||
\(367\) | −1.24224 | + | 7.04510i | −0.0648445 | + | 0.367751i | 0.935067 | + | 0.354470i | \(0.115339\pi\) |
−0.999912 | + | 0.0132812i | \(0.995772\pi\) | |||||||
\(368\) | 1.31158 | − | 2.27172i | 0.0683706 | − | 0.118421i | ||||
\(369\) | 16.4218 | + | 2.32009i | 0.854887 | + | 0.120779i | ||||
\(370\) | −8.23804 | + | 14.2687i | −0.428275 | + | 0.741795i | ||||
\(371\) | 2.65509 | − | 11.4517i | 0.137846 | − | 0.594543i | ||||
\(372\) | −8.48752 | + | 12.5734i | −0.440057 | + | 0.651901i | ||||
\(373\) | 2.66942 | + | 15.1390i | 0.138217 | + | 0.783869i | 0.972565 | + | 0.232631i | \(0.0747333\pi\) |
−0.834348 | + | 0.551238i | \(0.814156\pi\) | |||||||
\(374\) | 3.36437 | + | 19.0803i | 0.173968 | + | 0.986619i | ||||
\(375\) | −19.0379 | − | 8.48449i | −0.983112 | − | 0.438137i | ||||
\(376\) | 0.462175 | + | 0.387811i | 0.0238348 | + | 0.0199998i | ||||
\(377\) | −19.7504 | −1.01720 | ||||||||
\(378\) | 12.4714 | − | 5.78484i | 0.641459 | − | 0.297540i | ||||
\(379\) | −0.586331 | −0.0301178 | −0.0150589 | − | 0.999887i | \(-0.504794\pi\) | ||||
−0.0150589 | + | 0.999887i | \(0.504794\pi\) | |||||||
\(380\) | 4.50406 | + | 3.77936i | 0.231054 | + | 0.193877i | ||||
\(381\) | −1.77506 | − | 16.9477i | −0.0909392 | − | 0.868258i | ||||
\(382\) | 2.94909 | + | 16.7251i | 0.150889 | + | 0.855732i | ||||
\(383\) | −1.06538 | − | 6.04208i | −0.0544385 | − | 0.308736i | 0.945415 | − | 0.325870i | \(-0.105657\pi\) |
−0.999853 | + | 0.0171336i | \(0.994546\pi\) | |||||||
\(384\) | −0.758716 | − | 1.55703i | −0.0387181 | − | 0.0794570i | ||||
\(385\) | −8.74882 | − | 8.17369i | −0.445881 | − | 0.416570i | ||||
\(386\) | −11.1313 | + | 19.2800i | −0.566570 | + | 0.981328i | ||||
\(387\) | −3.16482 | + | 1.97441i | −0.160877 | + | 0.100365i | ||||
\(388\) | −8.51337 | + | 14.7456i | −0.432201 | + | 0.748594i | ||||
\(389\) | −3.91058 | + | 22.1780i | −0.198274 | + | 1.12447i | 0.709404 | + | 0.704803i | \(0.248964\pi\) |
−0.907678 | + | 0.419667i | \(0.862147\pi\) | |||||||
\(390\) | −6.25012 | + | 1.78974i | −0.316487 | + | 0.0906270i | ||||
\(391\) | −3.24640 | − | 18.4112i | −0.164177 | − | 0.931096i | ||||
\(392\) | −6.28582 | − | 3.08034i | −0.317482 | − | 0.155581i | ||||
\(393\) | 9.27774 | − | 37.1536i | 0.468000 | − | 1.87415i | ||||
\(394\) | −0.753764 | + | 0.274348i | −0.0379741 | + | 0.0138214i | ||||
\(395\) | 0.659307 | − | 1.14195i | 0.0331733 | − | 0.0574579i | ||||
\(396\) | 2.52579 | − | 7.75445i | 0.126926 | − | 0.389676i | ||||
\(397\) | −9.42861 | − | 16.3308i | −0.473209 | − | 0.819621i | 0.526321 | − | 0.850286i | \(-0.323571\pi\) |
−0.999530 | + | 0.0306646i | \(0.990238\pi\) | |||||||
\(398\) | 2.24532 | − | 0.817231i | 0.112548 | − | 0.0409641i | ||||
\(399\) | 6.30498 | + | 14.9073i | 0.315644 | + | 0.746298i | ||||
\(400\) | −1.70744 | + | 1.43271i | −0.0853721 | + | 0.0716357i | ||||
\(401\) | 18.3629 | − | 15.4083i | 0.916998 | − | 0.769453i | −0.0564391 | − | 0.998406i | \(-0.517975\pi\) |
0.973437 | + | 0.228953i | \(0.0735302\pi\) | |||||||
\(402\) | −1.45754 | + | 1.05815i | −0.0726952 | + | 0.0527759i | ||||
\(403\) | 18.5578 | − | 6.75448i | 0.924429 | − | 0.336464i | ||||
\(404\) | 2.37240 | − | 4.10912i | 0.118031 | − | 0.204436i | ||||
\(405\) | −6.58718 | + | 13.4561i | −0.327320 | + | 0.668641i | ||||
\(406\) | 23.1415 | + | 1.23446i | 1.14849 | + | 0.0612650i | ||||
\(407\) | −4.67223 | + | 26.4975i | −0.231594 | + | 1.31343i | ||||
\(408\) | −11.2753 | − | 5.02500i | −0.558211 | − | 0.248774i | ||||
\(409\) | 3.81333 | + | 21.6265i | 0.188557 | + | 1.06936i | 0.921299 | + | 0.388854i | \(0.127129\pi\) |
−0.732742 | + | 0.680506i | \(0.761760\pi\) | |||||||
\(410\) | 8.64776 | + | 3.14753i | 0.427082 | + | 0.155445i | ||||
\(411\) | 4.41075 | − | 6.53409i | 0.217566 | − | 0.322303i | ||||
\(412\) | 13.2148 | − | 4.80978i | 0.651045 | − | 0.236961i | ||||
\(413\) | −13.0112 | − | 25.5949i | −0.640237 | − | 1.25944i | ||||
\(414\) | −2.43722 | + | 7.48253i | −0.119783 | + | 0.367746i | ||||
\(415\) | −14.7223 | −0.722688 | ||||||||
\(416\) | −0.391548 | + | 2.22058i | −0.0191972 | + | 0.108873i | ||||
\(417\) | 17.5852 | − | 5.03556i | 0.861150 | − | 0.246593i | ||||
\(418\) | 9.02269 | + | 3.28399i | 0.441314 | + | 0.160625i | ||||
\(419\) | −1.76140 | − | 9.98941i | −0.0860501 | − | 0.488014i | −0.997125 | − | 0.0757736i | \(-0.975857\pi\) |
0.911075 | − | 0.412241i | \(-0.135254\pi\) | |||||||
\(420\) | 7.43513 | − | 1.70639i | 0.362797 | − | 0.0832632i | ||||
\(421\) | −12.2553 | − | 10.2834i | −0.597289 | − | 0.501185i | 0.293284 | − | 0.956025i | \(-0.405252\pi\) |
−0.890573 | + | 0.454841i | \(0.849696\pi\) | |||||||
\(422\) | 10.3941 | 0.505978 | ||||||||
\(423\) | −1.59750 | − | 0.850893i | −0.0776731 | − | 0.0413718i | ||||
\(424\) | 4.44315 | 0.215778 | ||||||||
\(425\) | −2.75848 | + | 15.6441i | −0.133806 | + | 0.758852i | ||||
\(426\) | −0.738063 | − | 1.51465i | −0.0357593 | − | 0.0733849i | ||||
\(427\) | −19.9648 | + | 15.0154i | −0.966166 | + | 0.726645i | ||||
\(428\) | −11.3224 | − | 4.12102i | −0.547289 | − | 0.199197i | ||||
\(429\) | −8.59159 | + | 6.23740i | −0.414806 | + | 0.301144i | ||||
\(430\) | −1.94501 | + | 0.707926i | −0.0937968 | + | 0.0341392i | ||||
\(431\) | 10.1894 | + | 17.6486i | 0.490809 | + | 0.850105i | 0.999944 | − | 0.0105811i | \(-0.00336812\pi\) |
−0.509135 | + | 0.860686i | \(0.670035\pi\) | |||||||
\(432\) | 3.19461 | + | 4.09810i | 0.153701 | + | 0.197170i | ||||
\(433\) | 9.41053 | 0.452241 | 0.226121 | − | 0.974099i | \(-0.427396\pi\) | ||||
0.226121 | + | 0.974099i | \(0.427396\pi\) | |||||||
\(434\) | −22.1663 | + | 6.75431i | −1.06402 | + | 0.324217i | ||||
\(435\) | −20.4371 | + | 14.8371i | −0.979882 | + | 0.711383i | ||||
\(436\) | 0.756084 | − | 0.634430i | 0.0362099 | − | 0.0303837i | ||||
\(437\) | −8.70630 | − | 3.16884i | −0.416479 | − | 0.151586i | ||||
\(438\) | −13.6781 | − | 0.961452i | −0.653565 | − | 0.0459400i | ||||
\(439\) | 1.35861 | − | 7.70504i | 0.0648427 | − | 0.367741i | −0.935069 | − | 0.354465i | \(-0.884663\pi\) |
0.999912 | − | 0.0132760i | \(-0.00422601\pi\) | |||||||
\(440\) | 2.26267 | − | 3.91906i | 0.107869 | − | 0.186834i | ||||
\(441\) | 20.3630 | + | 5.13316i | 0.969665 | + | 0.244436i | ||||
\(442\) | 8.03514 | + | 13.9173i | 0.382193 | + | 0.661977i | ||||
\(443\) | −16.1126 | + | 5.86449i | −0.765531 | + | 0.278630i | −0.695126 | − | 0.718888i | \(-0.744651\pi\) |
−0.0704048 | + | 0.997519i | \(0.522429\pi\) | |||||||
\(444\) | −12.3274 | − | 11.9131i | −0.585032 | − | 0.565369i | ||||
\(445\) | 8.77589 | − | 7.36385i | 0.416017 | − | 0.349080i | ||||
\(446\) | −2.39329 | − | 0.871087i | −0.113326 | − | 0.0412472i | ||||
\(447\) | 12.9846 | − | 3.71817i | 0.614149 | − | 0.175863i | ||||
\(448\) | 0.597570 | − | 2.57738i | 0.0282325 | − | 0.121770i | ||||
\(449\) | 9.98223 | + | 17.2897i | 0.471091 | + | 0.815953i | 0.999453 | − | 0.0330660i | \(-0.0105272\pi\) |
−0.528363 | + | 0.849019i | \(0.677194\pi\) | |||||||
\(450\) | 4.12058 | − | 5.26622i | 0.194246 | − | 0.248252i | ||||
\(451\) | 15.0286 | 0.707668 | ||||||||
\(452\) | −5.24150 | − | 4.39814i | −0.246539 | − | 0.206871i | ||||
\(453\) | −12.7482 | − | 26.1618i | −0.598963 | − | 1.22919i | ||||
\(454\) | −5.48391 | + | 4.60154i | −0.257373 | + | 0.215961i | ||||
\(455\) | −9.13784 | − | 3.88885i | −0.428389 | − | 0.182312i | ||||
\(456\) | −4.95060 | + | 3.59408i | −0.231833 | + | 0.168308i | ||||
\(457\) | −25.5689 | − | 21.4548i | −1.19606 | − | 1.00361i | −0.999734 | − | 0.0230757i | \(-0.992654\pi\) |
−0.196327 | − | 0.980538i | \(-0.562901\pi\) | |||||||
\(458\) | −6.51686 | − | 11.2875i | −0.304513 | − | 0.527432i | ||||
\(459\) | 36.2154 | + | 7.73903i | 1.69039 | + | 0.361227i | ||||
\(460\) | −2.18333 | + | 3.78163i | −0.101798 | + | 0.176320i | ||||
\(461\) | 4.49969 | − | 25.5190i | 0.209571 | − | 1.18854i | −0.680511 | − | 0.732738i | \(-0.738242\pi\) |
0.890082 | − | 0.455800i | \(-0.150647\pi\) | |||||||
\(462\) | 10.4566 | − | 6.77136i | 0.486486 | − | 0.315032i | ||||
\(463\) | 4.50746 | + | 1.64058i | 0.209480 | + | 0.0762443i | 0.444629 | − | 0.895715i | \(-0.353336\pi\) |
−0.235149 | + | 0.971959i | \(0.575558\pi\) | |||||||
\(464\) | 1.52100 | + | 8.62604i | 0.0706108 | + | 0.400454i | ||||
\(465\) | 14.1288 | − | 20.9305i | 0.655209 | − | 0.970627i | ||||
\(466\) | 13.4576 | + | 11.2923i | 0.623411 | + | 0.523104i | ||||
\(467\) | −5.01027 | − | 8.67805i | −0.231848 | − | 0.401572i | 0.726504 | − | 0.687162i | \(-0.241144\pi\) |
−0.958352 | + | 0.285590i | \(0.907810\pi\) | |||||||
\(468\) | −0.231173 | − | 6.76056i | −0.0106860 | − | 0.312507i | ||||
\(469\) | −2.74738 | − | 0.146555i | −0.126862 | − | 0.00676730i | ||||
\(470\) | −0.769364 | − | 0.645573i | −0.0354881 | − | 0.0297781i | ||||
\(471\) | −17.0168 | + | 4.87282i | −0.784094 | + | 0.224528i | ||||
\(472\) | 8.31324 | − | 6.97564i | 0.382648 | − | 0.321080i | ||||
\(473\) | −2.58935 | + | 2.17272i | −0.119058 | + | 0.0999018i | ||||
\(474\) | 0.986585 | + | 0.953426i | 0.0453154 | + | 0.0437923i | ||||
\(475\) | 6.03074 | + | 5.06039i | 0.276709 | + | 0.232187i | ||||
\(476\) | −8.54491 | − | 16.8091i | −0.391655 | − | 0.770444i | ||||
\(477\) | −13.0402 | + | 2.76189i | −0.597069 | + | 0.126458i | ||||
\(478\) | −0.107368 | − | 0.185966i | −0.00491088 | − | 0.00850589i | ||||
\(479\) | 8.33829 | + | 6.99666i | 0.380986 | + | 0.319686i | 0.813090 | − | 0.582139i | \(-0.197784\pi\) |
−0.432103 | + | 0.901824i | \(0.642228\pi\) | |||||||
\(480\) | 1.26301 | + | 2.59193i | 0.0576480 | + | 0.118305i | ||||
\(481\) | 3.87537 | + | 21.9783i | 0.176702 | + | 1.00213i | ||||
\(482\) | 6.03653 | + | 2.19712i | 0.274956 | + | 0.100076i | ||||
\(483\) | −10.0900 | + | 6.53392i | −0.459109 | + | 0.297304i | ||||
\(484\) | −0.626850 | + | 3.55504i | −0.0284932 | + | 0.161593i | ||||
\(485\) | 14.1719 | − | 24.5464i | 0.643511 | − | 1.11459i | ||||
\(486\) | −11.9233 | − | 10.0417i | −0.540850 | − | 0.455501i | ||||
\(487\) | −6.78837 | − | 11.7578i | −0.307611 | − | 0.532797i | 0.670229 | − | 0.742155i | \(-0.266196\pi\) |
−0.977839 | + | 0.209358i | \(0.932863\pi\) | |||||||
\(488\) | −7.23297 | − | 6.06918i | −0.327421 | − | 0.274739i | ||||
\(489\) | −3.51484 | − | 33.5586i | −0.158947 | − | 1.51757i | ||||
\(490\) | 10.4638 | + | 5.12771i | 0.472704 | + | 0.231647i | ||||
\(491\) | −14.8751 | + | 12.4817i | −0.671305 | + | 0.563292i | −0.913451 | − | 0.406948i | \(-0.866593\pi\) |
0.242146 | + | 0.970240i | \(0.422149\pi\) | |||||||
\(492\) | −5.35732 | + | 7.93635i | −0.241527 | + | 0.357798i | ||||
\(493\) | 47.8214 | + | 40.1269i | 2.15377 | + | 1.80722i | ||||
\(494\) | 7.96416 | 0.358324 | ||||||||
\(495\) | −4.20459 | + | 12.9085i | −0.188982 | + | 0.580195i | ||||
\(496\) | −4.37920 | − | 7.58500i | −0.196632 | − | 0.340576i | ||||
\(497\) | 0.581304 | − | 2.50722i | 0.0260750 | − | 0.112464i | ||||
\(498\) | 3.71122 | − | 14.8619i | 0.166304 | − | 0.665978i | ||||
\(499\) | 14.4165 | + | 5.24717i | 0.645371 | + | 0.234896i | 0.643908 | − | 0.765103i | \(-0.277312\pi\) |
0.00146313 | + | 0.999999i | \(0.499534\pi\) | |||||||
\(500\) | 9.21833 | − | 7.73510i | 0.412256 | − | 0.345924i | ||||
\(501\) | 7.50148 | − | 30.0404i | 0.335141 | − | 1.34210i | ||||
\(502\) | −16.5164 | + | 6.01146i | −0.737161 | + | 0.268305i | ||||
\(503\) | −10.3416 | − | 17.9122i | −0.461111 | − | 0.798668i | 0.537906 | − | 0.843005i | \(-0.319216\pi\) |
−0.999017 | + | 0.0443375i | \(0.985882\pi\) | |||||||
\(504\) | −0.151688 | + | 7.93580i | −0.00675674 | + | 0.353489i | ||||
\(505\) | −3.94924 | + | 6.84028i | −0.175739 | + | 0.304389i | ||||
\(506\) | −1.23828 | + | 7.02264i | −0.0550483 | + | 0.312194i | ||||
\(507\) | 7.67089 | − | 11.3637i | 0.340676 | − | 0.504678i | ||||
\(508\) | 9.24497 | + | 3.36490i | 0.410179 | + | 0.149293i | ||||
\(509\) | −2.43730 | + | 2.04514i | −0.108032 | + | 0.0906492i | −0.695203 | − | 0.718813i | \(-0.744686\pi\) |
0.587172 | + | 0.809462i | \(0.300241\pi\) | |||||||
\(510\) | 18.7696 | + | 8.36491i | 0.831131 | + | 0.370405i | ||||
\(511\) | −15.3050 | − | 14.2989i | −0.677054 | − | 0.632545i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 12.2954 | − | 13.6256i | 0.542854 | − | 0.601583i | ||||
\(514\) | 8.20797 | + | 14.2166i | 0.362038 | + | 0.627068i | ||||
\(515\) | −21.9981 | + | 8.00666i | −0.969352 | + | 0.352815i | ||||
\(516\) | −0.224339 | − | 2.14192i | −0.00987597 | − | 0.0942926i | ||||
\(517\) | −1.54122 | − | 0.560957i | −0.0677827 | − | 0.0246709i | ||||
\(518\) | −3.16707 | − | 25.9943i | −0.139153 | − | 1.14212i | ||||
\(519\) | −1.31564 | + | 1.94899i | −0.0577500 | + | 0.0855510i | ||||
\(520\) | 0.651795 | − | 3.69651i | 0.0285831 | − | 0.162103i | ||||
\(521\) | −30.1957 | −1.32290 | −0.661449 | − | 0.749990i | \(-0.730058\pi\) | ||||
−0.661449 | + | 0.749990i | \(0.730058\pi\) | |||||||
\(522\) | −9.82598 | − | 24.3710i | −0.430072 | − | 1.06669i | ||||
\(523\) | 33.0749 | 1.44627 | 0.723133 | − | 0.690709i | \(-0.242701\pi\) | ||||
0.723133 | + | 0.690709i | \(0.242701\pi\) | |||||||
\(524\) | 16.9367 | + | 14.2116i | 0.739884 | + | 0.620836i | ||||
\(525\) | 9.95531 | − | 2.28478i | 0.434485 | − | 0.0997159i | ||||
\(526\) | −3.66178 | − | 20.7670i | −0.159661 | − | 0.905484i | ||||
\(527\) | −58.6569 | − | 21.3494i | −2.55513 | − | 0.929992i | ||||
\(528\) | 3.38585 | + | 3.27206i | 0.147350 | + | 0.142398i | ||||
\(529\) | −2.79905 | + | 15.8742i | −0.121698 | + | 0.690182i | ||||
\(530\) | −7.39633 | −0.321276 | ||||||||
\(531\) | −20.0624 | + | 25.6403i | −0.870634 | + | 1.11270i | ||||
\(532\) | −9.33161 | − | 0.497783i | −0.404577 | − | 0.0215816i | ||||
\(533\) | 11.7137 | − | 4.26343i | 0.507376 | − | 0.184670i | ||||
\(534\) | 5.22145 | + | 10.7154i | 0.225954 | + | 0.463702i | ||||
\(535\) | 18.8480 | + | 6.86010i | 0.814869 | + | 0.296588i | ||||
\(536\) | −0.180575 | − | 1.02409i | −0.00779963 | − | 0.0442339i | ||||
\(537\) | 1.73369 | + | 16.5527i | 0.0748142 | + | 0.714302i | ||||
\(538\) | −1.41205 | + | 8.00811i | −0.0608776 | + | 0.345254i | ||||
\(539\) | 18.9213 | + | 2.02443i | 0.815000 | + | 0.0871984i | ||||
\(540\) | −5.31795 | − | 6.82195i | −0.228848 | − | 0.293570i | ||||
\(541\) | 16.1933 | − | 28.0475i | 0.696202 | − | 1.20586i | −0.273571 | − | 0.961852i | \(-0.588205\pi\) |
0.969774 | − | 0.244006i | \(-0.0784617\pi\) | |||||||
\(542\) | 0.523576 | − | 0.190566i | 0.0224895 | − | 0.00818551i | ||||
\(543\) | 1.00346 | + | 9.58073i | 0.0430627 | + | 0.411149i | ||||
\(544\) | 5.45962 | − | 4.58116i | 0.234079 | − | 0.196416i | ||||
\(545\) | −1.25862 | + | 1.05611i | −0.0539135 | + | 0.0452388i | ||||
\(546\) | 6.22922 | − | 8.24420i | 0.266586 | − | 0.352819i | ||||
\(547\) | −12.8922 | + | 4.69236i | −0.551229 | + | 0.200631i | −0.602592 | − | 0.798049i | \(-0.705866\pi\) |
0.0513635 | + | 0.998680i | \(0.483643\pi\) | |||||||
\(548\) | 2.27576 | + | 3.94173i | 0.0972157 | + | 0.168382i | ||||
\(549\) | 25.0007 | + | 13.3164i | 1.06700 | + | 0.568328i | ||||
\(550\) | 3.02961 | − | 5.24745i | 0.129183 | − | 0.223752i | ||||
\(551\) | 29.0717 | − | 10.5812i | 1.23850 | − | 0.450776i | ||||
\(552\) | −3.26713 | − | 3.15732i | −0.139058 | − | 0.134384i | ||||
\(553\) | 0.253467 | + | 2.08037i | 0.0107785 | + | 0.0884665i | ||||
\(554\) | −4.99848 | − | 28.3478i | −0.212365 | − | 1.20438i | ||||
\(555\) | 20.5209 | + | 19.8312i | 0.871064 | + | 0.841787i | ||||
\(556\) | −1.83387 | + | 10.4004i | −0.0777736 | + | 0.441076i | ||||
\(557\) | −7.54492 | + | 13.0682i | −0.319689 | + | 0.553717i | −0.980423 | − | 0.196903i | \(-0.936912\pi\) |
0.660734 | + | 0.750620i | \(0.270245\pi\) | |||||||
\(558\) | 17.5674 | + | 19.5390i | 0.743686 | + | 0.827153i | ||||
\(559\) | −1.40183 | + | 2.42804i | −0.0592912 | + | 0.102695i | ||||
\(560\) | −0.994752 | + | 4.29047i | −0.0420359 | + | 0.181305i | ||||
\(561\) | 33.4753 | + | 2.35302i | 1.41333 | + | 0.0993447i | ||||
\(562\) | −0.427793 | − | 2.42613i | −0.0180453 | − | 0.102340i | ||||
\(563\) | 5.74279 | + | 32.5690i | 0.242030 | + | 1.37262i | 0.827291 | + | 0.561774i | \(0.189881\pi\) |
−0.585261 | + | 0.810845i | \(0.699008\pi\) | |||||||
\(564\) | 0.845639 | − | 0.613924i | 0.0356078 | − | 0.0258509i | ||||
\(565\) | 8.72531 | + | 7.32141i | 0.367077 | + | 0.308014i | ||||
\(566\) | 22.2415 | 0.934881 | ||||||||
\(567\) | −4.48775 | − | 23.3850i | −0.188468 | − | 0.982079i | ||||
\(568\) | 0.972779 | 0.0408169 | ||||||||
\(569\) | 17.7559 | + | 14.8990i | 0.744367 | + | 0.624598i | 0.934007 | − | 0.357255i | \(-0.116287\pi\) |
−0.189639 | + | 0.981854i | \(0.560732\pi\) | |||||||
\(570\) | 8.24106 | − | 5.98291i | 0.345180 | − | 0.250597i | ||||
\(571\) | −4.32321 | − | 24.5181i | −0.180921 | − | 1.02605i | −0.931086 | − | 0.364801i | \(-0.881137\pi\) |
0.750165 | − | 0.661251i | \(-0.229974\pi\) | |||||||
\(572\) | −1.06442 | − | 6.03660i | −0.0445054 | − | 0.252403i | ||||
\(573\) | 29.3432 | + | 2.06258i | 1.22583 | + | 0.0861653i | ||||
\(574\) | −13.9914 | + | 4.26333i | −0.583990 | + | 0.177948i | ||||
\(575\) | −2.92338 | + | 5.06344i | −0.121913 | + | 0.211160i | ||||
\(576\) | −2.93489 | + | 0.621606i | −0.122287 | + | 0.0259003i | ||||
\(577\) | 5.17950 | − | 8.97115i | 0.215625 | − | 0.373474i | −0.737841 | − | 0.674975i | \(-0.764154\pi\) |
0.953466 | + | 0.301501i | \(0.0974877\pi\) | |||||||
\(578\) | 5.86835 | − | 33.2810i | 0.244091 | − | 1.38431i | ||||
\(579\) | 27.7281 | + | 26.7961i | 1.15234 | + | 1.11361i | ||||
\(580\) | −2.53195 | − | 14.3594i | −0.105134 | − | 0.596243i | ||||
\(581\) | 18.7005 | − | 14.0645i | 0.775825 | − | 0.583492i | ||||
\(582\) | 21.2067 | + | 20.4940i | 0.879048 | + | 0.849503i | ||||
\(583\) | −11.3502 | + | 4.13112i | −0.470076 | + | 0.171094i | ||||
\(584\) | 3.95827 | − | 6.85593i | 0.163794 | − | 0.283700i | ||||
\(585\) | 0.384825 | + | 11.2540i | 0.0159106 | + | 0.465297i | ||||
\(586\) | −6.90733 | − | 11.9638i | −0.285339 | − | 0.494222i | ||||
\(587\) | −9.95343 | + | 3.62275i | −0.410822 | + | 0.149527i | −0.539160 | − | 0.842203i | \(-0.681258\pi\) |
0.128338 | + | 0.991731i | \(0.459036\pi\) | |||||||
\(588\) | −7.81407 | + | 9.27040i | −0.322247 | + | 0.382305i | ||||
\(589\) | −23.6976 | + | 19.8846i | −0.976441 | + | 0.819331i | ||||
\(590\) | −13.8387 | + | 11.6121i | −0.569731 | + | 0.478061i | ||||
\(591\) | 0.144725 | + | 1.38179i | 0.00595319 | + | 0.0568391i | ||||
\(592\) | 9.30067 | − | 3.38517i | 0.382255 | − | 0.139129i | ||||
\(593\) | −18.5963 | + | 32.2097i | −0.763659 | + | 1.32270i | 0.177294 | + | 0.984158i | \(0.443266\pi\) |
−0.940953 | + | 0.338538i | \(0.890068\pi\) | |||||||
\(594\) | −11.9711 | − | 7.49847i | −0.491178 | − | 0.307666i | ||||
\(595\) | 14.2244 | + | 27.9814i | 0.583142 | + | 1.14713i | ||||
\(596\) | −1.35410 | + | 7.67948i | −0.0554661 | + | 0.314564i | ||||
\(597\) | −0.431109 | − | 4.11609i | −0.0176441 | − | 0.168460i | ||||
\(598\) | 1.02709 | + | 5.82492i | 0.0420008 | + | 0.238199i | ||||
\(599\) | 0.629100 | + | 0.228973i | 0.0257043 | + | 0.00935560i | 0.354840 | − | 0.934927i | \(-0.384535\pi\) |
−0.329136 | + | 0.944283i | \(0.606757\pi\) | |||||||
\(600\) | 1.69111 | + | 3.47048i | 0.0690392 | + | 0.141682i | ||||
\(601\) | 13.9237 | − | 5.06783i | 0.567962 | − | 0.206721i | −0.0420474 | − | 0.999116i | \(-0.513388\pi\) |
0.610009 | + | 0.792395i | \(0.291166\pi\) | |||||||
\(602\) | 1.79429 | − | 2.75732i | 0.0731297 | − | 0.112380i | ||||
\(603\) | 1.16655 | + | 2.89335i | 0.0475055 | + | 0.117826i | ||||
\(604\) | 16.8023 | 0.683678 | ||||||||
\(605\) | 1.04349 | − | 5.91793i | 0.0424240 | − | 0.240598i | ||||
\(606\) | −5.90963 | − | 5.71101i | −0.240062 | − | 0.231994i | ||||
\(607\) | −27.3847 | − | 9.96723i | −1.11151 | − | 0.404557i | −0.279964 | − | 0.960010i | \(-0.590323\pi\) |
−0.831548 | + | 0.555453i | \(0.812545\pi\) | |||||||
\(608\) | −0.613331 | − | 3.47837i | −0.0248739 | − | 0.141067i | ||||
\(609\) | 11.7853 | − | 38.3701i | 0.477566 | − | 1.55484i | ||||
\(610\) | 12.0404 | + | 10.1031i | 0.487503 | + | 0.409064i | ||||
\(611\) | −1.36040 | −0.0550360 | ||||||||
\(612\) | −13.1757 | + | 16.8390i | −0.532597 | + | 0.680675i | ||||
\(613\) | 42.2199 | 1.70524 | 0.852622 | − | 0.522528i | \(-0.175011\pi\) | ||||
0.852622 | + | 0.522528i | \(0.175011\pi\) | |||||||
\(614\) | 0.872130 | − | 4.94609i | 0.0351963 | − | 0.199608i | ||||
\(615\) | 8.91812 | − | 13.2113i | 0.359613 | − | 0.532732i | ||||
\(616\) | 0.869871 | + | 7.13962i | 0.0350481 | + | 0.287663i | ||||
\(617\) | −18.0926 | − | 6.58518i | −0.728382 | − | 0.265109i | −0.0489024 | − | 0.998804i | \(-0.515572\pi\) |
−0.679480 | + | 0.733694i | \(0.737795\pi\) | |||||||
\(618\) | −2.53728 | − | 24.2251i | −0.102064 | − | 0.974476i | ||||
\(619\) | 21.9392 | − | 7.98520i | 0.881809 | − | 0.320952i | 0.138870 | − | 0.990311i | \(-0.455653\pi\) |
0.742940 | + | 0.669358i | \(0.233431\pi\) | |||||||
\(620\) | 7.28988 | + | 12.6264i | 0.292769 | + | 0.507090i | ||||
\(621\) | 11.5513 | + | 7.23553i | 0.463537 | + | 0.290352i | ||||
\(622\) | −19.4862 | −0.781324 | ||||||||
\(623\) | −4.11245 | + | 17.7374i | −0.164762 | + | 0.710635i | ||||
\(624\) | 3.56727 | + | 1.58980i | 0.142805 | + | 0.0636430i | ||||
\(625\) | −6.80818 | + | 5.71274i | −0.272327 | + | 0.228510i | ||||
\(626\) | 3.40421 | + | 1.23903i | 0.136060 | + | 0.0495217i | ||||
\(627\) | 9.30478 | − | 13.7841i | 0.371597 | − | 0.550485i | ||||
\(628\) | 1.77460 | − | 10.0643i | 0.0708144 | − | 0.401609i | ||||
\(629\) | 35.2701 | − | 61.0896i | 1.40631 | − | 2.43580i | ||||
\(630\) | 0.252510 | − | 13.2104i | 0.0100602 | − | 0.526316i | ||||
\(631\) | 22.7548 | + | 39.4125i | 0.905854 | + | 1.56898i | 0.819767 | + | 0.572697i | \(0.194103\pi\) |
0.0860870 | + | 0.996288i | \(0.472564\pi\) | |||||||
\(632\) | −0.744351 | + | 0.270922i | −0.0296087 | + | 0.0107767i | ||||
\(633\) | 4.36170 | − | 17.4668i | 0.173362 | − | 0.694243i | ||||
\(634\) | −25.5479 | + | 21.4373i | −1.01464 | + | 0.851383i | ||||
\(635\) | −15.3897 | − | 5.60141i | −0.610723 | − | 0.222285i | ||||
\(636\) | 1.86448 | − | 7.46649i | 0.0739315 | − | 0.296066i | ||||
\(637\) | 15.3221 | − | 3.78987i | 0.607084 | − | 0.150160i | ||||
\(638\) | −11.9057 | − | 20.6213i | −0.471352 | − | 0.816405i | ||||
\(639\) | −2.85500 | + | 0.604685i | −0.112942 | + | 0.0239210i | ||||
\(640\) | −1.66466 | −0.0658015 | ||||||||
\(641\) | −17.6023 | − | 14.7701i | −0.695248 | − | 0.583382i | 0.225170 | − | 0.974320i | \(-0.427706\pi\) |
−0.920417 | + | 0.390938i | \(0.872151\pi\) | |||||||
\(642\) | −11.6764 | + | 17.2974i | −0.460831 | + | 0.682675i | ||||
\(643\) | −18.5835 | + | 15.5934i | −0.732862 | + | 0.614944i | −0.930910 | − | 0.365248i | \(-0.880984\pi\) |
0.198048 | + | 0.980192i | \(0.436540\pi\) | |||||||
\(644\) | −0.839368 | − | 6.88926i | −0.0330758 | − | 0.271475i | ||||
\(645\) | 0.373448 | + | 3.56556i | 0.0147045 | + | 0.140394i | ||||
\(646\) | −19.2835 | − | 16.1808i | −0.758701 | − | 0.636626i | ||||
\(647\) | −12.9724 | − | 22.4688i | −0.509996 | − | 0.883339i | −0.999933 | − | 0.0115809i | \(-0.996314\pi\) |
0.489937 | − | 0.871758i | \(-0.337020\pi\) | |||||||
\(648\) | 8.22721 | − | 3.64870i | 0.323195 | − | 0.143334i | ||||
\(649\) | −14.7507 | + | 25.5489i | −0.579015 | + | 1.00288i | ||||
\(650\) | 0.872725 | − | 4.94947i | 0.0342311 | − | 0.194134i | ||||
\(651\) | 2.04861 | + | 40.0837i | 0.0802913 | + | 1.57100i | ||||
\(652\) | 18.3062 | + | 6.66290i | 0.716925 | + | 0.260939i | ||||
\(653\) | 6.12739 | + | 34.7501i | 0.239783 | + | 1.35988i | 0.832303 | + | 0.554322i | \(0.187022\pi\) |
−0.592519 | + | 0.805556i | \(0.701867\pi\) | |||||||
\(654\) | −0.748851 | − | 1.53679i | −0.0292824 | − | 0.0600931i | ||||
\(655\) | −28.1939 | − | 23.6575i | −1.10163 | − | 0.924374i | ||||
\(656\) | −2.76415 | − | 4.78765i | −0.107922 | − | 0.186927i | ||||
\(657\) | −7.35542 | + | 22.5819i | −0.286962 | + | 0.881004i | ||||
\(658\) | 1.59399 | + | 0.0850291i | 0.0621400 | + | 0.00331478i | ||||
\(659\) | 35.1799 | + | 29.5194i | 1.37041 | + | 1.14991i | 0.972610 | + | 0.232442i | \(0.0746716\pi\) |
0.397803 | + | 0.917471i | \(0.369773\pi\) | |||||||
\(660\) | −5.63630 | − | 5.44686i | −0.219393 | − | 0.212019i | ||||
\(661\) | 6.53202 | − | 5.48102i | 0.254066 | − | 0.213187i | −0.506855 | − | 0.862031i | \(-0.669192\pi\) |
0.760921 | + | 0.648845i | \(0.224747\pi\) | |||||||
\(662\) | −2.72406 | + | 2.28575i | −0.105873 | + | 0.0888383i | ||||
\(663\) | 26.7591 | − | 7.66253i | 1.03924 | − | 0.297588i | ||||
\(664\) | 6.77491 | + | 5.68482i | 0.262917 | + | 0.220614i | ||||
\(665\) | 15.5340 | + | 0.828640i | 0.602381 | + | 0.0321333i | ||||
\(666\) | −25.1922 | + | 15.7165i | −0.976179 | + | 0.609000i | ||||
\(667\) | 11.4882 | + | 19.8982i | 0.444826 | + | 0.770461i | ||||
\(668\) | 13.6941 | + | 11.4907i | 0.529841 | + | 0.444589i | ||||
\(669\) | −2.46812 | + | 3.65627i | −0.0954229 | + | 0.141360i | ||||
\(670\) | 0.300595 | + | 1.70476i | 0.0116130 | + | 0.0658606i | ||||
\(671\) | 24.1198 | + | 8.77890i | 0.931136 | + | 0.338906i | ||||
\(672\) | −4.08040 | − | 2.08574i | −0.157405 | − | 0.0804590i | ||||
\(673\) | 7.67594 | − | 43.5324i | 0.295886 | − | 1.67805i | −0.367695 | − | 0.929947i | \(-0.619853\pi\) |
0.663580 | − | 0.748105i | \(-0.269036\pi\) | |||||||
\(674\) | 17.9482 | − | 31.0871i | 0.691338 | − | 1.19743i | ||||
\(675\) | −7.12049 | − | 9.13429i | −0.274068 | − | 0.351579i | ||||
\(676\) | 3.95785 | + | 6.85521i | 0.152225 | + | 0.263662i | ||||
\(677\) | −17.8728 | − | 14.9970i | −0.686906 | − | 0.576383i | 0.231109 | − | 0.972928i | \(-0.425765\pi\) |
−0.918015 | + | 0.396545i | \(0.870209\pi\) | |||||||
\(678\) | −9.59034 | + | 6.96248i | −0.368315 | + | 0.267392i | ||||
\(679\) | 5.44830 | + | 44.7178i | 0.209087 | + | 1.71611i | ||||
\(680\) | −9.08841 | + | 7.62608i | −0.348525 | + | 0.292447i | ||||
\(681\) | 5.43145 | + | 11.1464i | 0.208134 | + | 0.427130i | ||||
\(682\) | 18.2391 | + | 15.3045i | 0.698413 | + | 0.586038i | ||||
\(683\) | −22.9480 | −0.878079 | −0.439040 | − | 0.898468i | \(-0.644681\pi\) | ||||
−0.439040 | + | 0.898468i | \(0.644681\pi\) | |||||||
\(684\) | 3.96224 | + | 9.82741i | 0.151500 | + | 0.375760i | ||||
\(685\) | −3.78837 | − | 6.56164i | −0.144746 | − | 0.250708i | ||||
\(686\) | −18.1898 | + | 3.48291i | −0.694490 | + | 0.132978i | ||||
\(687\) | −21.7028 | + | 6.21466i | −0.828014 | + | 0.237104i | ||||
\(688\) | 1.16841 | + | 0.425268i | 0.0445454 | + | 0.0162132i | ||||
\(689\) | −7.67468 | + | 6.43982i | −0.292382 | + | 0.245338i | ||||
\(690\) | 5.43865 | + | 5.25586i | 0.207046 | + | 0.200087i | ||||
\(691\) | 16.1468 | − | 5.87695i | 0.614253 | − | 0.223570i | −0.0161103 | − | 0.999870i | \(-0.505128\pi\) |
0.630363 | + | 0.776301i | \(0.282906\pi\) | |||||||
\(692\) | −0.678813 | − | 1.17574i | −0.0258046 | − | 0.0446949i | ||||
\(693\) | −6.99101 | − | 20.4133i | −0.265567 | − | 0.775437i | ||||
\(694\) | 7.70239 | − | 13.3409i | 0.292379 | − | 0.506415i | ||||
\(695\) | 3.05278 | − | 17.3132i | 0.115798 | − | 0.656726i | ||||
\(696\) | 15.1339 | + | 1.06378i | 0.573648 | + | 0.0403225i | ||||
\(697\) | −37.0242 | − | 13.4757i | −1.40239 | − | 0.510429i | ||||
\(698\) | −17.1676 | + | 14.4053i | −0.649804 | + | 0.545250i | ||||
\(699\) | 24.6233 | − | 17.8762i | 0.931338 | − | 0.676141i | ||||
\(700\) | −1.33193 | + | 5.74475i | −0.0503422 | + | 0.217131i | ||||
\(701\) | 24.0297 | 0.907588 | 0.453794 | − | 0.891107i | \(-0.350070\pi\) | ||||
0.453794 | + | 0.891107i | \(0.350070\pi\) | |||||||
\(702\) | −11.4578 | − | 2.44846i | −0.432446 | − | 0.0924113i | ||||
\(703\) | −17.4793 | − | 30.2750i | −0.659243 | − | 1.14184i | ||||
\(704\) | −2.55453 | + | 0.929774i | −0.0962776 | + | 0.0350422i | ||||
\(705\) | −1.40770 | + | 1.02198i | −0.0530171 | + | 0.0384898i | ||||
\(706\) | −4.82607 | − | 1.75655i | −0.181632 | − | 0.0661085i | ||||
\(707\) | −1.51826 | − | 12.4614i | −0.0571002 | − | 0.468660i | ||||
\(708\) | −8.23372 | − | 16.8972i | −0.309442 | − | 0.635035i | ||||
\(709\) | 1.35362 | − | 7.67678i | 0.0508364 | − | 0.288308i | −0.948782 | − | 0.315932i | \(-0.897683\pi\) |
0.999618 | + | 0.0276239i | \(0.00879409\pi\) | |||||||
\(710\) | −1.61935 | −0.0607730 | ||||||||
\(711\) | 2.01619 | − | 1.25782i | 0.0756129 | − | 0.0471719i | ||||
\(712\) | −6.88195 | −0.257912 | ||||||||
\(713\) | −17.5996 | − | 14.7678i | −0.659109 | − | 0.553058i | ||||
\(714\) | −31.8325 | + | 7.30568i | −1.19130 | + | 0.273408i | ||||
\(715\) | 1.77189 | + | 10.0489i | 0.0662649 | + | 0.375807i | ||||
\(716\) | −9.02949 | − | 3.28646i | −0.337448 | − | 0.122821i | ||||
\(717\) | −0.357561 | + | 0.102389i | −0.0133534 | + | 0.00382378i | ||||
\(718\) | 5.84780 | − | 33.1645i | 0.218238 | − | 1.23769i | ||||
\(719\) | −1.05345 | −0.0392871 | −0.0196436 | − | 0.999807i | \(-0.506253\pi\) | ||||
−0.0196436 | + | 0.999807i | \(0.506253\pi\) | |||||||
\(720\) | 4.88560 | − | 1.03476i | 0.182076 | − | 0.0385633i | ||||
\(721\) | 20.2934 | − | 31.1854i | 0.755766 | − | 1.16140i | ||||
\(722\) | 6.13125 | − | 2.23159i | 0.228182 | − | 0.0830513i | ||||
\(723\) | 6.22526 | − | 9.22210i | 0.231520 | − | 0.342974i | ||||
\(724\) | −5.22628 | − | 1.90221i | −0.194233 | − | 0.0706952i | ||||
\(725\) | −3.39017 | − | 19.2266i | −0.125908 | − | 0.714059i | ||||
\(726\) | 5.71102 | + | 2.54519i | 0.211956 | + | 0.0944610i | ||||
\(727\) | 3.77605 | − | 21.4150i | 0.140046 | − | 0.794239i | −0.831166 | − | 0.556024i | \(-0.812326\pi\) |
0.971212 | − | 0.238216i | \(-0.0765625\pi\) | |||||||
\(728\) | 2.70343 | + | 5.31804i | 0.100196 | + | 0.197100i | ||||
\(729\) | −21.8779 | + | 15.8226i | −0.810294 | + | 0.586023i | ||||
\(730\) | −6.58918 | + | 11.4128i | −0.243876 | + | 0.422406i | ||||
\(731\) | 8.32731 | − | 3.03089i | 0.307997 | − | 0.112102i | ||||
\(732\) | −13.2341 | + | 9.60783i | −0.489148 | + | 0.355116i | ||||
\(733\) | −39.0794 | + | 32.7915i | −1.44343 | + | 1.21118i | −0.506228 | + | 0.862400i | \(0.668960\pi\) |
−0.937204 | + | 0.348783i | \(0.886595\pi\) | |||||||
\(734\) | −5.48012 | + | 4.59836i | −0.202275 | + | 0.169729i | ||||
\(735\) | 13.0078 | − | 15.4321i | 0.479799 | − | 0.569220i | ||||
\(736\) | 2.46496 | − | 0.897170i | 0.0908595 | − | 0.0330701i | ||||
\(737\) | 1.41345 | + | 2.44818i | 0.0520653 | + | 0.0901797i | ||||
\(738\) | 11.0885 | + | 12.3330i | 0.408175 | + | 0.453986i | ||||
\(739\) | −19.2835 | + | 33.4000i | −0.709355 | + | 1.22864i | 0.255741 | + | 0.966745i | \(0.417680\pi\) |
−0.965097 | + | 0.261894i | \(0.915653\pi\) | |||||||
\(740\) | −15.4825 | + | 5.63515i | −0.569146 | + | 0.207152i | ||||
\(741\) | 3.34201 | − | 13.3834i | 0.122772 | − | 0.491650i | ||||
\(742\) | 9.39493 | − | 7.06585i | 0.344899 | − | 0.259396i | ||||
\(743\) | 1.59146 | + | 9.02561i | 0.0583849 | + | 0.331117i | 0.999984 | − | 0.00561810i | \(-0.00178831\pi\) |
−0.941599 | + | 0.336735i | \(0.890677\pi\) | |||||||
\(744\) | −14.5839 | + | 4.17613i | −0.534670 | + | 0.153104i | ||||
\(745\) | 2.25412 | − | 12.7837i | 0.0825844 | − | 0.468359i | ||||
\(746\) | −7.68628 | + | 13.3130i | −0.281415 | + | 0.487425i | ||||
\(747\) | −23.4174 | − | 12.4730i | −0.856796 | − | 0.456364i | ||||
\(748\) | −9.68732 | + | 16.7789i | −0.354204 | + | 0.613499i | ||||
\(749\) | −30.4945 | + | 9.29200i | −1.11425 | + | 0.339522i | ||||
\(750\) | −9.13014 | − | 18.7368i | −0.333386 | − | 0.684172i | ||||
\(751\) | 0.820318 | + | 4.65225i | 0.0299338 | + | 0.169763i | 0.996110 | − | 0.0881204i | \(-0.0280860\pi\) |
−0.966176 | + | 0.257884i | \(0.916975\pi\) | |||||||
\(752\) | 0.104767 | + | 0.594161i | 0.00382044 | + | 0.0216668i | ||||
\(753\) | 3.17119 | + | 30.2775i | 0.115565 | + | 1.10337i | ||||
\(754\) | −15.1297 | − | 12.6953i | −0.550990 | − | 0.462335i | ||||
\(755\) | −27.9702 | −1.01794 | ||||||||
\(756\) | 13.2721 | + | 3.58501i | 0.482700 | + | 0.130386i | ||||
\(757\) | −7.23189 | −0.262848 | −0.131424 | − | 0.991326i | \(-0.541955\pi\) | ||||
−0.131424 | + | 0.991326i | \(0.541955\pi\) | |||||||
\(758\) | −0.449156 | − | 0.376886i | −0.0163141 | − | 0.0136891i | ||||
\(759\) | 11.2816 | + | 5.02778i | 0.409495 | + | 0.182497i | ||||
\(760\) | 1.02099 | + | 5.79031i | 0.0370351 | + | 0.210037i | ||||
\(761\) | 3.19621 | + | 18.1266i | 0.115863 | + | 0.657090i | 0.986319 | + | 0.164845i | \(0.0527124\pi\) |
−0.870457 | + | 0.492245i | \(0.836176\pi\) | |||||||
\(762\) | 9.53401 | − | 14.1237i | 0.345381 | − | 0.511648i | ||||
\(763\) | 0.589801 | − | 2.54387i | 0.0213522 | − | 0.0920944i | ||||
\(764\) | −8.49157 | + | 14.7078i | −0.307214 | + | 0.532110i | ||||
\(765\) | 21.9331 | − | 28.0311i | 0.792993 | − | 1.01347i | ||||
\(766\) | 3.06765 | − | 5.31332i | 0.110839 | − | 0.191978i | ||||
\(767\) | −4.24915 | + | 24.0981i | −0.153428 | + | 0.870133i | ||||
\(768\) | 0.419631 | − | 1.68045i | 0.0151421 | − | 0.0606380i | ||||
\(769\) | −0.489316 | − | 2.77505i | −0.0176452 | − | 0.100071i | 0.974713 | − | 0.223459i | \(-0.0717350\pi\) |
−0.992358 | + | 0.123388i | \(0.960624\pi\) | |||||||
\(770\) | −1.44804 | − | 11.8850i | −0.0521838 | − | 0.428307i | ||||
\(771\) | 27.3346 | − | 7.82735i | 0.984432 | − | 0.281895i | ||||
\(772\) | −20.9201 | + | 7.61428i | −0.752929 | + | 0.274044i | ||||
\(773\) | −8.33515 | + | 14.4369i | −0.299795 | + | 0.519260i | −0.976089 | − | 0.217372i | \(-0.930251\pi\) |
0.676294 | + | 0.736632i | \(0.263585\pi\) | |||||||
\(774\) | −3.69352 | − | 0.521823i | −0.132761 | − | 0.0187565i | ||||
\(775\) | 9.76083 | + | 16.9062i | 0.350619 | + | 0.607290i | ||||
\(776\) | −15.9999 | + | 5.82349i | −0.574363 | + | 0.209051i | ||||
\(777\) | −45.0111 | − | 5.58589i | −1.61476 | − | 0.200393i | ||||
\(778\) | −17.2514 | + | 14.4757i | −0.618494 | + | 0.518978i | ||||
\(779\) | −14.9579 | + | 12.5512i | −0.535923 | + | 0.449693i | ||||
\(780\) | −5.93829 | − | 2.64648i | −0.212625 | − | 0.0947591i | ||||
\(781\) | −2.48500 | + | 0.904464i | −0.0889201 | + | 0.0323643i | ||||
\(782\) | 9.34763 | − | 16.1906i | 0.334270 | − | 0.578973i | ||||
\(783\) | −45.0776 | + | 6.28523i | −1.61094 | + | 0.224616i | ||||
\(784\) | −2.83521 | − | 6.40012i | −0.101258 | − | 0.228576i | ||||
\(785\) | −2.95411 | + | 16.7536i | −0.105437 | + | 0.597962i | ||||
\(786\) | 30.9890 | − | 22.4977i | 1.10534 | − | 0.802465i | ||||
\(787\) | 5.94093 | + | 33.6927i | 0.211771 | + | 1.20101i | 0.886422 | + | 0.462878i | \(0.153183\pi\) |
−0.674651 | + | 0.738137i | \(0.735706\pi\) | |||||||
\(788\) | −0.753764 | − | 0.274348i | −0.0268517 | − | 0.00977323i | ||||
\(789\) | −36.4345 | − | 2.56103i | −1.29710 | − | 0.0911750i | ||||
\(790\) | 1.23909 | − | 0.450993i | 0.0440849 | − | 0.0160456i | ||||
\(791\) | −18.0773 | − | 0.964310i | −0.642755 | − | 0.0342869i | ||||
\(792\) | 6.91933 | − | 4.31670i | 0.245868 | − | 0.153387i | ||||
\(793\) | 21.2901 | 0.756034 | ||||||||
\(794\) | 3.27452 | − | 18.5707i | 0.116208 | − | 0.659051i | ||||
\(795\) | −3.10373 | + | 12.4292i | −0.110078 | + | 0.440817i | ||||
\(796\) | 2.24532 | + | 0.817231i | 0.0795834 | + | 0.0289660i | ||||
\(797\) | 7.85355 | + | 44.5397i | 0.278187 | + | 1.57768i | 0.728653 | + | 0.684883i | \(0.240147\pi\) |
−0.450466 | + | 0.892794i | \(0.648742\pi\) | |||||||
\(798\) | −4.75233 | + | 15.4724i | −0.168231 | + | 0.547718i | ||||
\(799\) | 3.29393 | + | 2.76394i | 0.116531 | + | 0.0977810i | ||||
\(800\) | −2.22891 | −0.0788037 | ||||||||
\(801\) | 20.1978 | − | 4.27786i | 0.713654 | − | 0.151151i | ||||
\(802\) | 23.9710 | 0.846447 | ||||||||
\(803\) | −3.73707 | + | 21.1940i | −0.131878 | + | 0.747919i | ||||
\(804\) | −1.79670 | − | 0.126293i | −0.0633649 | − | 0.00445400i | ||||
\(805\) | 1.39726 | + | 11.4683i | 0.0492471 | + | 0.404204i | ||||
\(806\) | 18.5578 | + | 6.75448i | 0.653670 | + | 0.237916i | ||||
\(807\) | 12.8647 | + | 5.73332i | 0.452859 | + | 0.201822i | ||||
\(808\) | 4.45865 | − | 1.62282i | 0.156855 | − | 0.0570905i | ||||
\(809\) | −1.08096 | − | 1.87227i | −0.0380044 | − | 0.0658255i | 0.846398 | − | 0.532552i | \(-0.178767\pi\) |
−0.884402 | + | 0.466726i | \(0.845433\pi\) | |||||||
\(810\) | −13.6955 | + | 6.07384i | −0.481211 | + | 0.213413i | ||||
\(811\) | −18.4044 | −0.646264 | −0.323132 | − | 0.946354i | \(-0.604736\pi\) | ||||
−0.323132 | + | 0.946354i | \(0.604736\pi\) | |||||||
\(812\) | 16.9339 | + | 15.8207i | 0.594265 | + | 0.555199i | ||||
\(813\) | −0.100528 | − | 0.959810i | −0.00352567 | − | 0.0336620i | ||||
\(814\) | −20.6114 | + | 17.2950i | −0.722430 | + | 0.606191i | ||||
\(815\) | −30.4736 | − | 11.0915i | −1.06744 | − | 0.388517i | ||||
\(816\) | −5.40739 | − | 11.0970i | −0.189296 | − | 0.388473i | ||||
\(817\) | 0.762616 | − | 4.32501i | 0.0266806 | − | 0.151313i | ||||
\(818\) | −10.9800 | + | 19.0180i | −0.383908 | + | 0.664949i | ||||
\(819\) | −11.2400 | − | 13.9274i | −0.392757 | − | 0.486663i | ||||
\(820\) | 4.60138 | + | 7.96982i | 0.160687 | + | 0.278318i | ||||
\(821\) | 23.7529 | − | 8.64536i | 0.828983 | − | 0.301725i | 0.107542 | − | 0.994201i | \(-0.465702\pi\) |
0.721441 | + | 0.692475i | \(0.243480\pi\) | |||||||
\(822\) | 7.57886 | − | 2.17023i | 0.264343 | − | 0.0756954i | ||||
\(823\) | 17.1760 | − | 14.4124i | 0.598717 | − | 0.502384i | −0.292316 | − | 0.956322i | \(-0.594426\pi\) |
0.891033 | + | 0.453938i | \(0.149981\pi\) | |||||||
\(824\) | 13.2148 | + | 4.80978i | 0.460358 | + | 0.167557i | ||||
\(825\) | −7.54675 | − | 7.29310i | −0.262744 | − | 0.253913i | ||||
\(826\) | 6.48493 | − | 27.9702i | 0.225640 | − | 0.973208i | ||||
\(827\) | 27.1071 | + | 46.9508i | 0.942605 | + | 1.63264i | 0.760477 | + | 0.649365i | \(0.224965\pi\) |
0.182128 | + | 0.983275i | \(0.441701\pi\) | |||||||
\(828\) | −6.67670 | + | 4.16533i | −0.232031 | + | 0.144755i | ||||
\(829\) | −46.8439 | −1.62696 | −0.813478 | − | 0.581595i | \(-0.802429\pi\) | ||||
−0.813478 | + | 0.581595i | \(0.802429\pi\) | |||||||
\(830\) | −11.2779 | − | 9.46330i | −0.391462 | − | 0.328476i | ||||
\(831\) | −49.7345 | − | 3.49591i | −1.72527 | − | 0.121272i | ||||
\(832\) | −1.72731 | + | 1.44938i | −0.0598835 | + | 0.0502483i | ||||
\(833\) | −44.7992 | − | 21.9536i | −1.55220 | − | 0.760648i | ||||
\(834\) | 16.7078 | + | 7.44607i | 0.578545 | + | 0.257836i | ||||
\(835\) | −22.7960 | − | 19.1281i | −0.788889 | − | 0.661957i | ||||
\(836\) | 4.80088 | + | 8.31536i | 0.166042 | + | 0.287593i | ||||
\(837\) | 40.2062 | − | 21.3219i | 1.38973 | − | 0.736993i | ||||
\(838\) | 5.07175 | − | 8.78454i | 0.175201 | − | 0.303457i | ||||
\(839\) | −2.54980 | + | 14.4606i | −0.0880289 | + | 0.499237i | 0.908633 | + | 0.417596i | \(0.137127\pi\) |
−0.996662 | + | 0.0816409i | \(0.973984\pi\) | |||||||
\(840\) | 6.79249 | + | 3.47204i | 0.234363 | + | 0.119797i | ||||
\(841\) | −44.8440 | − | 16.3219i | −1.54634 | − | 0.562823i | ||||
\(842\) | −2.77806 | − | 15.7552i | −0.0957382 | − | 0.542959i | ||||
\(843\) | −4.25651 | − | 0.299196i | −0.146602 | − | 0.0103048i | ||||
\(844\) | 7.96237 | + | 6.68122i | 0.274076 | + | 0.229977i | ||||
\(845\) | −6.58848 | − | 11.4116i | −0.226651 | − | 0.392571i | ||||
\(846\) | −0.676813 | − | 1.67868i | −0.0232693 | − | 0.0577140i | ||||
\(847\) | 4.32805 | + | 8.51391i | 0.148714 | + | 0.292542i | ||||
\(848\) | 3.40365 | + | 2.85600i | 0.116882 | + | 0.0980755i | ||||
\(849\) | 9.33323 | − | 37.3758i | 0.320316 | − | 1.28273i | ||||
\(850\) | −12.1690 | + | 10.2110i | −0.417392 | + | 0.350234i | ||||
\(851\) | 19.8887 | − | 16.6886i | 0.681774 | − | 0.572077i | ||||
\(852\) | 0.408208 | − | 1.63471i | 0.0139850 | − | 0.0560041i | ||||
\(853\) | 24.2543 | + | 20.3518i | 0.830453 | + | 0.696833i | 0.955395 | − | 0.295331i | \(-0.0954300\pi\) |
−0.124942 | + | 0.992164i | \(0.539874\pi\) | |||||||
\(854\) | −24.9457 | − | 1.33069i | −0.853623 | − | 0.0455354i | ||||
\(855\) | −6.59578 | − | 16.3593i | −0.225571 | − | 0.559476i | ||||
\(856\) | −6.02453 | − | 10.4348i | −0.205914 | − | 0.356654i | ||||
\(857\) | 6.25311 | + | 5.24699i | 0.213602 | + | 0.179234i | 0.743311 | − | 0.668946i | \(-0.233254\pi\) |
−0.529709 | + | 0.848180i | \(0.677699\pi\) | |||||||
\(858\) | −10.5909 | − | 0.744446i | −0.361566 | − | 0.0254150i | ||||
\(859\) | −3.80897 | − | 21.6017i | −0.129960 | − | 0.737041i | −0.978237 | − | 0.207489i | \(-0.933471\pi\) |
0.848277 | − | 0.529553i | \(-0.177640\pi\) | |||||||
\(860\) | −1.94501 | − | 0.707926i | −0.0663244 | − | 0.0241401i | ||||
\(861\) | 1.29308 | + | 25.3009i | 0.0440681 | + | 0.862251i | ||||
\(862\) | −3.53876 | + | 20.0693i | −0.120531 | + | 0.683563i | ||||
\(863\) | 11.5793 | − | 20.0560i | 0.394165 | − | 0.682714i | −0.598829 | − | 0.800877i | \(-0.704367\pi\) |
0.992994 | + | 0.118163i | \(0.0377004\pi\) | |||||||
\(864\) | −0.186994 | + | 5.19279i | −0.00636167 | + | 0.176662i | ||||
\(865\) | 1.12999 | + | 1.95720i | 0.0384209 | + | 0.0665470i | ||||
\(866\) | 7.20888 | + | 6.04897i | 0.244968 | + | 0.205552i | ||||
\(867\) | −53.4646 | − | 23.8272i | −1.81575 | − | 0.809214i | ||||
\(868\) | −21.3220 | − | 9.07414i | −0.723715 | − | 0.307996i | ||||
\(869\) | 1.64957 | − | 1.38416i | 0.0559580 | − | 0.0469543i | ||||
\(870\) | −25.1928 | − | 1.77083i | −0.854115 | − | 0.0600369i | ||||
\(871\) | 1.79620 | + | 1.50719i | 0.0608620 | + | 0.0510693i | ||||
\(872\) | 0.986998 | 0.0334240 | ||||||||
\(873\) | 43.3381 | − | 27.0370i | 1.46677 | − | 0.915062i | ||||
\(874\) | −4.63253 | − | 8.02377i | −0.156698 | − | 0.271408i | ||||
\(875\) | 7.19097 | − | 31.0154i | 0.243099 | − | 1.04851i | ||||
\(876\) | −9.86003 | − | 9.52863i | −0.333139 | − | 0.321943i | ||||
\(877\) | 24.2742 | + | 8.83509i | 0.819682 | + | 0.298340i | 0.717617 | − | 0.696438i | \(-0.245233\pi\) |
0.102065 | + | 0.994778i | \(0.467455\pi\) | |||||||
\(878\) | 5.99346 | − | 5.02911i | 0.202269 | − | 0.169724i | ||||
\(879\) | −23.0032 | + | 6.58702i | −0.775877 | + | 0.222175i | ||||
\(880\) | 4.25243 | − | 1.54776i | 0.143349 | − | 0.0521749i | ||||
\(881\) | −2.02126 | − | 3.50093i | −0.0680981 | − | 0.117949i | 0.829966 | − | 0.557814i | \(-0.188360\pi\) |
−0.898064 | + | 0.439865i | \(0.855026\pi\) | |||||||
\(882\) | 12.2994 | + | 17.0213i | 0.414143 | + | 0.573137i | ||||
\(883\) | −22.8257 | + | 39.5352i | −0.768145 | + | 1.33047i | 0.170423 | + | 0.985371i | \(0.445487\pi\) |
−0.938568 | + | 0.345095i | \(0.887847\pi\) | |||||||
\(884\) | −2.79057 | + | 15.8261i | −0.0938572 | + | 0.532290i | ||||
\(885\) | 13.7063 | + | 28.1281i | 0.460734 | + | 0.945514i | ||||
\(886\) | −16.1126 | − | 5.86449i | −0.541312 | − | 0.197021i | ||||
\(887\) | −13.8401 | + | 11.6132i | −0.464706 | + | 0.389934i | −0.844859 | − | 0.534989i | \(-0.820316\pi\) |
0.380153 | + | 0.924923i | \(0.375871\pi\) | |||||||
\(888\) | −1.78576 | − | 17.0498i | −0.0599260 | − | 0.572154i | ||||
\(889\) | 24.8994 | − | 7.58711i | 0.835099 | − | 0.254463i | ||||
\(890\) | 11.4561 | 0.384010 | ||||||||
\(891\) | −17.6242 | + | 16.9702i | −0.590434 | + | 0.568522i | ||||
\(892\) | −1.27344 | − | 2.20567i | −0.0426381 | − | 0.0738513i | ||||
\(893\) | 2.00246 | − | 0.728834i | 0.0670096 | − | 0.0243895i | ||||
\(894\) | 12.3368 | + | 5.49804i | 0.412603 | + | 0.183882i | ||||
\(895\) | 15.0310 | + | 5.47085i | 0.502432 | + | 0.182870i | ||||
\(896\) | 2.11448 | − | 1.59028i | 0.0706397 | − | 0.0531275i | ||||
\(897\) | 10.2195 | + | 0.718341i | 0.341219 | + | 0.0239847i | ||||
\(898\) | −3.46679 | + | 19.6612i | −0.115688 | + | 0.656101i | ||||
\(899\) | 76.7158 | 2.55861 | ||||||||
\(900\) | 6.54160 | − | 1.38550i | 0.218053 | − | 0.0461834i | ||||
\(901\) | 31.6664 | 1.05496 | ||||||||
\(902\) | 11.5126 | + | 9.66018i | 0.383326 | + | 0.321649i | ||||
\(903\) | −3.88060 | − | 4.17227i | −0.129138 | − | 0.138844i | ||||
\(904\) | −1.18815 | − | 6.73834i | −0.0395173 | − | 0.224114i | ||||
\(905\) | 8.69999 | + | 3.16654i | 0.289197 | + | 0.105259i | ||||
\(906\) | 7.05078 | − | 28.2355i | 0.234246 | − | 0.938062i | ||||
\(907\) | 1.03434 | − | 5.86605i | 0.0343448 | − | 0.194779i | −0.962808 | − | 0.270187i | \(-0.912915\pi\) |
0.997153 | + | 0.0754075i | \(0.0240257\pi\) | |||||||
\(908\) | −7.15873 | −0.237571 | ||||||||
\(909\) | −12.0769 | + | 7.53432i | −0.400566 | + | 0.249898i | ||||
\(910\) | −4.50029 | − | 8.85273i | −0.149183 | − | 0.293465i | ||||
\(911\) | 24.8008 | − | 9.02675i | 0.821687 | − | 0.299070i | 0.103244 | − | 0.994656i | \(-0.467078\pi\) |
0.718442 | + | 0.695586i | \(0.244855\pi\) | |||||||
\(912\) | −6.10260 | − | 0.428960i | −0.202077 | − | 0.0142043i | ||||
\(913\) | −22.5923 | − | 8.22293i | −0.747697 | − | 0.272139i | ||||
\(914\) | −5.79599 | − | 32.8707i | −0.191714 | − | 1.08727i | ||||
\(915\) | 22.0303 | − | 15.9938i | 0.728300 | − | 0.528738i | ||||
\(916\) | 2.26328 | − | 12.8357i | 0.0747810 | − | 0.424104i | ||||
\(917\) | 58.4127 | + | 3.11595i | 1.92896 | + | 0.102898i | ||||
\(918\) | 22.7681 | + | 29.2073i | 0.751459 | + | 0.963984i | ||||
\(919\) | 23.9771 | − | 41.5296i | 0.790932 | − | 1.36993i | −0.134459 | − | 0.990919i | \(-0.542930\pi\) |
0.925391 | − | 0.379015i | \(-0.123737\pi\) | |||||||
\(920\) | −4.10331 | + | 1.49348i | −0.135282 | + | 0.0492387i | ||||
\(921\) | −7.94569 | − | 3.54110i | −0.261819 | − | 0.116683i | ||||
\(922\) | 19.8502 | − | 16.6563i | 0.653733 | − | 0.548547i | ||||
\(923\) | −1.68029 | + | 1.40993i | −0.0553073 | + | 0.0464083i | ||||
\(924\) | 12.3628 | + | 1.53423i | 0.406706 | + | 0.0504724i | ||||
\(925\) | −20.7303 | + | 7.54522i | −0.681608 | + | 0.248085i | ||||
\(926\) | 2.39837 | + | 4.15410i | 0.0788154 | + | 0.136512i | ||||
\(927\) | −41.7738 | − | 5.90183i | −1.37203 | − | 0.193841i | ||||
\(928\) | −4.37955 | + | 7.58561i | −0.143766 | + | 0.249010i | ||||
\(929\) | 45.7420 | − | 16.6487i | 1.50074 | − | 0.546226i | 0.544492 | − | 0.838766i | \(-0.316723\pi\) |
0.956253 | + | 0.292540i | \(0.0945004\pi\) | |||||||
\(930\) | 24.2772 | − | 6.95183i | 0.796079 | − | 0.227960i | ||||
\(931\) | −20.5231 | + | 13.7873i | −0.672617 | + | 0.451861i | ||||
\(932\) | 3.05059 | + | 17.3007i | 0.0999254 | + | 0.566705i | ||||
\(933\) | −8.17699 | + | 32.7455i | −0.267703 | + | 1.07204i | ||||
\(934\) | 1.74005 | − | 9.86831i | 0.0569362 | − | 0.322901i | ||||
\(935\) | 16.1261 | − | 27.9312i | 0.527380 | − | 0.913449i | ||||
\(936\) | 4.16852 | − | 5.32749i | 0.136252 | − | 0.174134i | ||||
\(937\) | −28.4947 | + | 49.3543i | −0.930882 | + | 1.61233i | −0.149064 | + | 0.988828i | \(0.547626\pi\) |
−0.781818 | + | 0.623507i | \(0.785707\pi\) | |||||||
\(938\) | −2.01041 | − | 1.87825i | −0.0656422 | − | 0.0613270i | ||||
\(939\) | 3.51064 | − | 5.20067i | 0.114566 | − | 0.169718i | ||||
\(940\) | −0.174401 | − | 0.989075i | −0.00568832 | − | 0.0322601i | ||||
\(941\) | −2.98035 | − | 16.9024i | −0.0971565 | − | 0.551002i | −0.994065 | − | 0.108786i | \(-0.965304\pi\) |
0.896909 | − | 0.442216i | \(-0.145807\pi\) | |||||||
\(942\) | −16.1678 | − | 7.20541i | −0.526777 | − | 0.234765i | ||||
\(943\) | −11.1089 | − | 9.32144i | −0.361754 | − | 0.303548i | ||||
\(944\) | 10.8522 | 0.353208 | ||||||||
\(945\) | −22.0935 | − | 5.96783i | −0.718701 | − | 0.194133i | ||||
\(946\) | −3.38015 | −0.109898 | ||||||||
\(947\) | 24.7801 | + | 20.7930i | 0.805246 | + | 0.675681i | 0.949468 | − | 0.313864i | \(-0.101624\pi\) |
−0.144222 | + | 0.989545i | \(0.546068\pi\) | |||||||
\(948\) | 0.142918 | + | 1.36453i | 0.00464175 | + | 0.0443179i | ||||
\(949\) | 3.09971 | + | 17.5793i | 0.100621 | + | 0.570649i | ||||
\(950\) | 1.36706 | + | 7.75297i | 0.0443532 | + | 0.251539i | ||||
\(951\) | 25.3035 | + | 51.9277i | 0.820524 | + | 1.68387i | ||||
\(952\) | 4.25890 | − | 18.3691i | 0.138032 | − | 0.595345i | ||||
\(953\) | 5.02190 | − | 8.69819i | 0.162675 | − | 0.281762i | −0.773152 | − | 0.634221i | \(-0.781321\pi\) |
0.935827 | + | 0.352459i | \(0.114654\pi\) | |||||||
\(954\) | −11.7647 | − | 6.26633i | −0.380895 | − | 0.202880i | ||||
\(955\) | 14.1356 | − | 24.4835i | 0.457416 | − | 0.792268i | ||||
\(956\) | 0.0372884 | − | 0.211473i | 0.00120599 | − | 0.00683952i | ||||
\(957\) | −39.6491 | + | 11.3536i | −1.28167 | + | 0.367011i | ||||
\(958\) | 1.89014 | + | 10.7195i | 0.0610676 | + | 0.346331i | ||||
\(959\) | 11.0805 | + | 4.71560i | 0.357808 | + | 0.152275i | ||||
\(960\) | −0.698542 | + | 2.79738i | −0.0225454 | + | 0.0902850i | ||||
\(961\) | −42.9530 | + | 15.6336i | −1.38558 | + | 0.504310i | ||||
\(962\) | −11.1587 | + | 19.3274i | −0.359771 | + | 0.623141i | ||||
\(963\) | 24.1677 | + | 26.8801i | 0.778793 | + | 0.866200i | ||||
\(964\) | 3.21197 | + | 5.56330i | 0.103451 | + | 0.179182i | ||||
\(965\) | 34.8248 | − | 12.6752i | 1.12105 | − | 0.408029i | ||||
\(966\) | −11.9293 | − | 1.48043i | −0.383818 | − | 0.0476320i | ||||
\(967\) | 14.2453 | − | 11.9533i | 0.458099 | − | 0.384391i | −0.384332 | − | 0.923195i | \(-0.625568\pi\) |
0.842431 | + | 0.538804i | \(0.181124\pi\) | |||||||
\(968\) | −2.76533 | + | 2.32039i | −0.0888811 | + | 0.0745801i | ||||
\(969\) | −35.2830 | + | 25.6151i | −1.13345 | + | 0.822874i | ||||
\(970\) | 26.6344 | − | 9.69413i | 0.855179 | − | 0.311260i | ||||
\(971\) | −20.3346 | + | 35.2206i | −0.652569 | + | 1.13028i | 0.329928 | + | 0.944006i | \(0.392975\pi\) |
−0.982497 | + | 0.186277i | \(0.940358\pi\) | |||||||
\(972\) | −2.67906 | − | 15.3565i | −0.0859309 | − | 0.492561i | ||||
\(973\) | 12.6619 | + | 24.9078i | 0.405922 | + | 0.798508i | ||||
\(974\) | 2.35758 | − | 13.3705i | 0.0755416 | − | 0.428418i | ||||
\(975\) | −7.95111 | − | 3.54352i | −0.254639 | − | 0.113483i | ||||
\(976\) | −1.63958 | − | 9.29853i | −0.0524817 | − | 0.297639i | ||||
\(977\) | 17.9193 | + | 6.52209i | 0.573289 | + | 0.208660i | 0.612364 | − | 0.790576i | \(-0.290219\pi\) |
−0.0390748 | + | 0.999236i | \(0.512441\pi\) | |||||||
\(978\) | 18.8785 | − | 27.9666i | 0.603668 | − | 0.894275i | ||||
\(979\) | 17.5802 | − | 6.39866i | 0.561865 | − | 0.204502i | ||||
\(980\) | 4.71967 | + | 10.6540i | 0.150764 | + | 0.340330i | ||||
\(981\) | −2.89673 | + | 0.613524i | −0.0924856 | + | 0.0195883i | ||||
\(982\) | −19.4181 | −0.619657 | ||||||||
\(983\) | 7.43588 | − | 42.1709i | 0.237168 | − | 1.34504i | −0.600833 | − | 0.799375i | \(-0.705164\pi\) |
0.838000 | − | 0.545670i | \(-0.183725\pi\) | |||||||
\(984\) | −9.20533 | + | 2.63597i | −0.293455 | + | 0.0840318i | ||||
\(985\) | 1.25476 | + | 0.456696i | 0.0399800 | + | 0.0145515i | ||||
\(986\) | 10.8402 | + | 61.4780i | 0.345223 | + | 1.95786i | ||||
\(987\) | 0.811772 | − | 2.64293i | 0.0258390 | − | 0.0841254i | ||||
\(988\) | 6.10090 | + | 5.11926i | 0.194095 | + | 0.162865i | ||||
\(989\) | 3.26163 | 0.103714 | ||||||||
\(990\) | −11.5183 | + | 7.18584i | −0.366077 | + | 0.228381i | ||||
\(991\) | 20.4526 | 0.649700 | 0.324850 | − | 0.945766i | \(-0.394686\pi\) | ||||
0.324850 | + | 0.945766i | \(0.394686\pi\) | |||||||
\(992\) | 1.52088 | − | 8.62534i | 0.0482880 | − | 0.273855i | ||||
\(993\) | 2.69800 | + | 5.53681i | 0.0856183 | + | 0.175705i | ||||
\(994\) | 2.05692 | − | 1.54699i | 0.0652415 | − | 0.0490676i | ||||
\(995\) | −3.73770 | − | 1.36041i | −0.118493 | − | 0.0431279i | ||||
\(996\) | 12.3960 | − | 8.99936i | 0.392783 | − | 0.285156i | ||||
\(997\) | −38.6911 | + | 14.0824i | −1.22536 | + | 0.445995i | −0.872006 | − | 0.489495i | \(-0.837181\pi\) |
−0.353354 | + | 0.935490i | \(0.614959\pi\) | |||||||
\(998\) | 7.67086 | + | 13.2863i | 0.242817 | + | 0.420571i | ||||
\(999\) | 15.8393 | + | 48.9294i | 0.501132 | + | 1.54806i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.v.b.79.9 | yes | 72 | |
7.4 | even | 3 | 378.2.w.a.25.2 | yes | 72 | ||
27.13 | even | 9 | 378.2.w.a.121.2 | yes | 72 | ||
189.67 | even | 9 | inner | 378.2.v.b.67.9 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.67.9 | ✓ | 72 | 189.67 | even | 9 | inner | |
378.2.v.b.79.9 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.a.25.2 | yes | 72 | 7.4 | even | 3 | ||
378.2.w.a.121.2 | yes | 72 | 27.13 | even | 9 |