Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.12 | ||
Character | \(\chi\) | \(=\) | 175.4 |
Dual form | 175.2.t.a.44.12 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.172534 | + | 0.811707i | 0.122000 | + | 0.573964i | 0.996101 | + | 0.0882200i | \(0.0281179\pi\) |
−0.874101 | + | 0.485744i | \(0.838549\pi\) | |||||||
\(3\) | −0.515214 | − | 1.15719i | −0.297459 | − | 0.668104i | 0.701550 | − | 0.712620i | \(-0.252492\pi\) |
−0.999009 | + | 0.0445169i | \(0.985825\pi\) | |||||||
\(4\) | 1.19799 | − | 0.533380i | 0.598995 | − | 0.266690i | ||||
\(5\) | −1.94638 | − | 1.10073i | −0.870446 | − | 0.492263i | ||||
\(6\) | 0.850407 | − | 0.617857i | 0.347177 | − | 0.252239i | ||||
\(7\) | −0.234193 | − | 2.63537i | −0.0885168 | − | 0.996075i | ||||
\(8\) | 1.61518 | + | 2.22310i | 0.571052 | + | 0.785986i | ||||
\(9\) | 0.933750 | − | 1.03703i | 0.311250 | − | 0.345678i | ||||
\(10\) | 0.557658 | − | 1.76980i | 0.176347 | − | 0.559661i | ||||
\(11\) | −0.0313893 | − | 0.0348614i | −0.00946424 | − | 0.0105111i | 0.738394 | − | 0.674369i | \(-0.235584\pi\) |
−0.747858 | + | 0.663858i | \(0.768918\pi\) | |||||||
\(12\) | −1.23444 | − | 1.11150i | −0.356353 | − | 0.320861i | ||||
\(13\) | 0.527906 | − | 0.171527i | 0.146415 | − | 0.0475730i | −0.234893 | − | 0.972021i | \(-0.575474\pi\) |
0.381307 | + | 0.924448i | \(0.375474\pi\) | |||||||
\(14\) | 2.09874 | − | 0.644786i | 0.560912 | − | 0.172326i | ||||
\(15\) | −0.270957 | + | 2.81944i | −0.0699608 | + | 0.727976i | ||||
\(16\) | 0.229111 | − | 0.254453i | 0.0572776 | − | 0.0636132i | ||||
\(17\) | −2.92512 | + | 0.307442i | −0.709445 | + | 0.0745656i | −0.452376 | − | 0.891827i | \(-0.649423\pi\) |
−0.257069 | + | 0.966393i | \(0.582757\pi\) | |||||||
\(18\) | 1.00287 | + | 0.579008i | 0.236379 | + | 0.136474i | ||||
\(19\) | 5.20618 | + | 2.31794i | 1.19438 | + | 0.531772i | 0.904987 | − | 0.425439i | \(-0.139880\pi\) |
0.289392 | + | 0.957211i | \(0.406547\pi\) | |||||||
\(20\) | −2.91885 | − | 0.280511i | −0.652675 | − | 0.0627241i | ||||
\(21\) | −2.92896 | + | 1.62878i | −0.639151 | + | 0.355430i | ||||
\(22\) | 0.0228815 | − | 0.0314937i | 0.00487836 | − | 0.00671449i | ||||
\(23\) | 0.969359 | + | 4.56047i | 0.202125 | + | 0.950925i | 0.955877 | + | 0.293766i | \(0.0949086\pi\) |
−0.753752 | + | 0.657159i | \(0.771758\pi\) | |||||||
\(24\) | 1.74039 | − | 3.01444i | 0.355255 | − | 0.615320i | ||||
\(25\) | 2.57677 | + | 4.28489i | 0.515354 | + | 0.856978i | ||||
\(26\) | 0.230311 | + | 0.398911i | 0.0451677 | + | 0.0782328i | ||||
\(27\) | −5.29524 | − | 1.72053i | −1.01907 | − | 0.331116i | ||||
\(28\) | −1.68621 | − | 3.03223i | −0.318664 | − | 0.573037i | ||||
\(29\) | 0.233773 | + | 0.169846i | 0.0434106 | + | 0.0315397i | 0.609279 | − | 0.792956i | \(-0.291459\pi\) |
−0.565868 | + | 0.824496i | \(0.691459\pi\) | |||||||
\(30\) | −2.33531 | + | 0.266511i | −0.426367 | + | 0.0486580i | ||||
\(31\) | 0.180738 | + | 1.71961i | 0.0324615 | + | 0.308851i | 0.998690 | + | 0.0511648i | \(0.0162934\pi\) |
−0.966229 | + | 0.257686i | \(0.917040\pi\) | |||||||
\(32\) | 5.00558 | + | 2.88998i | 0.884871 | + | 0.510880i | ||||
\(33\) | −0.0241690 | + | 0.0542845i | −0.00420729 | + | 0.00944972i | ||||
\(34\) | −0.754234 | − | 2.32129i | −0.129350 | − | 0.398099i | ||||
\(35\) | −2.44501 | + | 5.38720i | −0.413282 | + | 0.910603i | ||||
\(36\) | 0.565490 | − | 1.74040i | 0.0942484 | − | 0.290067i | ||||
\(37\) | −7.55850 | − | 6.80570i | −1.24261 | − | 1.11885i | −0.988427 | − | 0.151694i | \(-0.951527\pi\) |
−0.254182 | − | 0.967156i | \(-0.581806\pi\) | |||||||
\(38\) | −0.983248 | + | 4.62582i | −0.159504 | + | 0.750407i | ||||
\(39\) | −0.470473 | − | 0.522514i | −0.0753361 | − | 0.0836692i | ||||
\(40\) | −0.696702 | − | 6.10488i | −0.110158 | − | 0.965266i | ||||
\(41\) | 2.15555 | + | 6.63409i | 0.336640 | + | 1.03607i | 0.965909 | + | 0.258883i | \(0.0833544\pi\) |
−0.629269 | + | 0.777188i | \(0.716646\pi\) | |||||||
\(42\) | −1.82744 | − | 2.09644i | −0.281980 | − | 0.323487i | ||||
\(43\) | 6.85064i | 1.04471i | 0.852727 | + | 0.522356i | \(0.174947\pi\) | ||||
−0.852727 | + | 0.522356i | \(0.825053\pi\) | |||||||
\(44\) | −0.0561985 | − | 0.0250212i | −0.00847224 | − | 0.00377208i | ||||
\(45\) | −2.95893 | + | 0.990650i | −0.441091 | + | 0.147677i | ||||
\(46\) | −3.53452 | + | 1.57367i | −0.521137 | + | 0.232025i | ||||
\(47\) | 4.33129 | + | 0.455237i | 0.631784 | + | 0.0664031i | 0.415007 | − | 0.909818i | \(-0.363779\pi\) |
0.216776 | + | 0.976221i | \(0.430446\pi\) | |||||||
\(48\) | −0.412491 | − | 0.134027i | −0.0595380 | − | 0.0193451i | ||||
\(49\) | −6.89031 | + | 1.23437i | −0.984330 | + | 0.176339i | ||||
\(50\) | −3.03350 | + | 2.83087i | −0.429001 | + | 0.400345i | ||||
\(51\) | 1.86283 | + | 3.22651i | 0.260848 | + | 0.451802i | ||||
\(52\) | 0.540937 | − | 0.487062i | 0.0750144 | − | 0.0675433i | ||||
\(53\) | −1.94976 | − | 4.37922i | −0.267820 | − | 0.601533i | 0.728705 | − | 0.684827i | \(-0.240122\pi\) |
−0.996525 | + | 0.0832947i | \(0.973456\pi\) | |||||||
\(54\) | 0.482958 | − | 4.59503i | 0.0657222 | − | 0.625305i | ||||
\(55\) | 0.0227224 | + | 0.102405i | 0.00306388 | + | 0.0138083i | ||||
\(56\) | 5.48043 | − | 4.77722i | 0.732353 | − | 0.638383i | ||||
\(57\) | − | 7.21877i | − | 0.956150i | ||||||
\(58\) | −0.0975317 | + | 0.219060i | −0.0128065 | + | 0.0287640i | ||||
\(59\) | −10.0166 | − | 2.12910i | −1.30405 | − | 0.277185i | −0.497044 | − | 0.867725i | \(-0.665581\pi\) |
−0.807008 | + | 0.590541i | \(0.798915\pi\) | |||||||
\(60\) | 1.17923 | + | 3.52218i | 0.152238 | + | 0.454712i | ||||
\(61\) | 9.87153 | − | 2.09826i | 1.26392 | − | 0.268655i | 0.473267 | − | 0.880919i | \(-0.343075\pi\) |
0.790653 | + | 0.612265i | \(0.209741\pi\) | |||||||
\(62\) | −1.36464 | + | 0.443397i | −0.173309 | + | 0.0563115i | ||||
\(63\) | −2.95164 | − | 2.21791i | −0.371872 | − | 0.279430i | ||||
\(64\) | −1.27057 | + | 3.91040i | −0.158821 | + | 0.488800i | ||||
\(65\) | −1.21631 | − | 0.247228i | −0.150865 | − | 0.0306648i | ||||
\(66\) | −0.0482331 | − | 0.0102523i | −0.00593708 | − | 0.00126197i | ||||
\(67\) | 13.0196 | − | 1.36841i | 1.59060 | − | 0.167178i | 0.732537 | − | 0.680728i | \(-0.238336\pi\) |
0.858060 | + | 0.513549i | \(0.171670\pi\) | |||||||
\(68\) | −3.34028 | + | 1.92851i | −0.405068 | + | 0.233866i | ||||
\(69\) | 4.77790 | − | 3.47135i | 0.575192 | − | 0.417902i | ||||
\(70\) | −4.79468 | − | 1.05516i | −0.573074 | − | 0.126115i | ||||
\(71\) | 2.86306 | + | 2.08013i | 0.339782 | + | 0.246866i | 0.744570 | − | 0.667544i | \(-0.232655\pi\) |
−0.404788 | + | 0.914411i | \(0.632655\pi\) | |||||||
\(72\) | 3.81361 | + | 0.400826i | 0.449438 | + | 0.0472378i | ||||
\(73\) | −1.48200 | + | 1.33440i | −0.173454 | + | 0.156179i | −0.751286 | − | 0.659977i | \(-0.770566\pi\) |
0.577831 | + | 0.816156i | \(0.303899\pi\) | |||||||
\(74\) | 4.22014 | − | 7.30950i | 0.490582 | − | 0.849712i | ||||
\(75\) | 3.63084 | − | 5.18944i | 0.419253 | − | 0.599225i | ||||
\(76\) | 7.47329 | 0.857245 | ||||||||
\(77\) | −0.0845214 | + | 0.0908867i | −0.00963210 | + | 0.0103575i | ||||
\(78\) | 0.342956 | − | 0.472038i | 0.0388321 | − | 0.0534478i | ||||
\(79\) | −0.237624 | + | 2.26084i | −0.0267348 | + | 0.254364i | 0.972989 | + | 0.230852i | \(0.0741514\pi\) |
−0.999724 | + | 0.0235119i | \(0.992515\pi\) | |||||||
\(80\) | −0.726021 | + | 0.243072i | −0.0811716 | + | 0.0271763i | ||||
\(81\) | 0.299607 | + | 2.85057i | 0.0332896 | + | 0.316730i | ||||
\(82\) | −5.01303 | + | 2.89428i | −0.553597 | + | 0.319619i | ||||
\(83\) | 7.32770 | + | 10.0857i | 0.804320 | + | 1.10705i | 0.992175 | + | 0.124855i | \(0.0398465\pi\) |
−0.187855 | + | 0.982197i | \(0.560154\pi\) | |||||||
\(84\) | −2.64010 | + | 3.51351i | −0.288059 | + | 0.383356i | ||||
\(85\) | 6.03179 | + | 2.62138i | 0.654239 | + | 0.284328i | ||||
\(86\) | −5.56071 | + | 1.18197i | −0.599627 | + | 0.127455i | ||||
\(87\) | 0.0761010 | − | 0.358027i | 0.00815889 | − | 0.0383846i | ||||
\(88\) | 0.0268011 | − | 0.126089i | 0.00285700 | − | 0.0134411i | ||||
\(89\) | 12.4445 | − | 2.64516i | 1.31911 | − | 0.280386i | 0.506020 | − | 0.862521i | \(-0.331116\pi\) |
0.813092 | + | 0.582136i | \(0.197783\pi\) | |||||||
\(90\) | −1.31463 | − | 2.23086i | −0.138574 | − | 0.235154i | ||||
\(91\) | −0.575668 | − | 1.35105i | −0.0603464 | − | 0.141629i | ||||
\(92\) | 3.59375 | + | 4.94637i | 0.374674 | + | 0.515694i | ||||
\(93\) | 1.89679 | − | 1.09511i | 0.196688 | − | 0.113558i | ||||
\(94\) | 0.377774 | + | 3.59428i | 0.0389645 | + | 0.370722i | ||||
\(95\) | −7.58175 | − | 10.2422i | −0.777871 | − | 1.05083i | ||||
\(96\) | 0.765302 | − | 7.28136i | 0.0781083 | − | 0.743151i | ||||
\(97\) | 1.96263 | − | 2.70133i | 0.199275 | − | 0.274279i | −0.697671 | − | 0.716418i | \(-0.745780\pi\) |
0.896946 | + | 0.442139i | \(0.145780\pi\) | |||||||
\(98\) | −2.19076 | − | 5.37994i | −0.221300 | − | 0.543456i | ||||
\(99\) | −0.0654623 | −0.00657921 | ||||||||
\(100\) | 5.37241 | + | 3.75886i | 0.537241 | + | 0.375886i | ||||
\(101\) | 2.19655 | − | 3.80454i | 0.218565 | − | 0.378566i | −0.735804 | − | 0.677194i | \(-0.763196\pi\) |
0.954369 | + | 0.298628i | \(0.0965291\pi\) | |||||||
\(102\) | −2.29758 | + | 2.06875i | −0.227495 | + | 0.204837i | ||||
\(103\) | 4.74122 | + | 0.498322i | 0.467166 | + | 0.0491011i | 0.335187 | − | 0.942151i | \(-0.391200\pi\) |
0.131978 | + | 0.991253i | \(0.457867\pi\) | |||||||
\(104\) | 1.23398 | + | 0.896542i | 0.121002 | + | 0.0879132i | ||||
\(105\) | 7.49371 | + | 0.0537766i | 0.731312 | + | 0.00524806i | ||||
\(106\) | 3.21825 | − | 2.33820i | 0.312584 | − | 0.227106i | ||||
\(107\) | −9.73774 | + | 5.62209i | −0.941383 | + | 0.543508i | −0.890393 | − | 0.455192i | \(-0.849571\pi\) |
−0.0509892 | + | 0.998699i | \(0.516237\pi\) | |||||||
\(108\) | −7.26134 | + | 0.763197i | −0.698723 | + | 0.0734387i | ||||
\(109\) | −18.5297 | − | 3.93862i | −1.77483 | − | 0.377251i | −0.799963 | − | 0.600049i | \(-0.795148\pi\) |
−0.974865 | + | 0.222798i | \(0.928481\pi\) | |||||||
\(110\) | −0.0792023 | + | 0.0361122i | −0.00755165 | + | 0.00344316i | ||||
\(111\) | −3.98124 | + | 12.2530i | −0.377883 | + | 1.16300i | ||||
\(112\) | −0.724233 | − | 0.544199i | −0.0684336 | − | 0.0514220i | ||||
\(113\) | −6.73095 | + | 2.18702i | −0.633194 | + | 0.205737i | −0.607990 | − | 0.793945i | \(-0.708024\pi\) |
−0.0252047 | + | 0.999682i | \(0.508024\pi\) | |||||||
\(114\) | 5.85953 | − | 1.24548i | 0.548795 | − | 0.116650i | ||||
\(115\) | 3.13313 | − | 9.94341i | 0.292166 | − | 0.927228i | ||||
\(116\) | 0.370651 | + | 0.0787842i | 0.0344141 | + | 0.00731493i | ||||
\(117\) | 0.315053 | − | 0.707620i | 0.0291266 | − | 0.0654194i | ||||
\(118\) | − | 8.49790i | − | 0.782295i | ||||||
\(119\) | 1.49527 | + | 7.63675i | 0.137071 | + | 0.700060i | ||||
\(120\) | −6.70555 | + | 3.95154i | −0.612130 | + | 0.360724i | ||||
\(121\) | 1.14958 | − | 10.9376i | 0.104508 | − | 0.994323i | ||||
\(122\) | 3.40634 | + | 7.65077i | 0.308396 | + | 0.692669i | ||||
\(123\) | 6.56633 | − | 5.91235i | 0.592066 | − | 0.533099i | ||||
\(124\) | 1.13373 | + | 1.96367i | 0.101812 | + | 0.176343i | ||||
\(125\) | −0.298843 | − | 11.1763i | −0.0267293 | − | 0.999643i | ||||
\(126\) | 1.29103 | − | 2.77853i | 0.115014 | − | 0.247531i | ||||
\(127\) | 1.51042 | + | 0.490766i | 0.134028 | + | 0.0435485i | 0.375263 | − | 0.926918i | \(-0.377552\pi\) |
−0.241235 | + | 0.970467i | \(0.577552\pi\) | |||||||
\(128\) | 8.10326 | + | 0.851686i | 0.716233 | + | 0.0752792i | ||||
\(129\) | 7.92748 | − | 3.52954i | 0.697976 | − | 0.310759i | ||||
\(130\) | −0.00917788 | − | 1.02994i | −0.000804953 | − | 0.0903319i | ||||
\(131\) | −19.4946 | − | 8.67958i | −1.70326 | − | 0.758338i | −0.998820 | − | 0.0485700i | \(-0.984534\pi\) |
−0.704435 | − | 0.709768i | \(-0.748800\pi\) | |||||||
\(132\) | 0.0779235i | 0.00678237i | ||||||||
\(133\) | 4.88937 | − | 14.2630i | 0.423962 | − | 1.23676i | ||||
\(134\) | 3.35707 | + | 10.3320i | 0.290007 | + | 0.892549i | ||||
\(135\) | 8.41269 | + | 9.17745i | 0.724049 | + | 0.789869i | ||||
\(136\) | −5.40806 | − | 6.00626i | −0.463737 | − | 0.515032i | ||||
\(137\) | 0.543252 | − | 2.55580i | 0.0464132 | − | 0.218357i | −0.948829 | − | 0.315791i | \(-0.897730\pi\) |
0.995242 | + | 0.0974341i | \(0.0310635\pi\) | |||||||
\(138\) | 3.64207 | + | 3.27934i | 0.310034 | + | 0.279156i | ||||
\(139\) | −3.23381 | + | 9.95264i | −0.274288 | + | 0.844172i | 0.715119 | + | 0.699003i | \(0.246373\pi\) |
−0.989407 | + | 0.145169i | \(0.953627\pi\) | |||||||
\(140\) | −0.0556727 | + | 7.75793i | −0.00470520 | + | 0.655665i | ||||
\(141\) | −1.70475 | − | 5.24667i | −0.143565 | − | 0.441849i | ||||
\(142\) | −1.19448 | + | 2.68286i | −0.100239 | + | 0.225140i | ||||
\(143\) | −0.0225503 | − | 0.0130194i | −0.00188575 | − | 0.00108874i | ||||
\(144\) | −0.0499446 | − | 0.475191i | −0.00416205 | − | 0.0395992i | ||||
\(145\) | −0.268056 | − | 0.587907i | −0.0222608 | − | 0.0488230i | ||||
\(146\) | −1.33883 | − | 0.972719i | −0.110803 | − | 0.0805028i | ||||
\(147\) | 4.97838 | + | 7.33742i | 0.410610 | + | 0.605181i | ||||
\(148\) | −12.6850 | − | 4.12162i | −1.04270 | − | 0.338795i | ||||
\(149\) | −11.0628 | − | 19.1613i | −0.906297 | − | 1.56975i | −0.819167 | − | 0.573555i | \(-0.805564\pi\) |
−0.0871300 | − | 0.996197i | \(-0.527770\pi\) | |||||||
\(150\) | 4.83875 | + | 2.05182i | 0.395082 | + | 0.167531i | ||||
\(151\) | −10.8715 | + | 18.8299i | −0.884706 | + | 1.53236i | −0.0386560 | + | 0.999253i | \(0.512308\pi\) |
−0.846050 | + | 0.533103i | \(0.821026\pi\) | |||||||
\(152\) | 3.25589 | + | 15.3178i | 0.264088 | + | 1.24243i | ||||
\(153\) | −2.41250 | + | 3.32052i | −0.195039 | + | 0.268448i | ||||
\(154\) | −0.0883562 | − | 0.0529256i | −0.00711995 | − | 0.00426487i | ||||
\(155\) | 1.54105 | − | 3.54595i | 0.123780 | − | 0.284818i | ||||
\(156\) | −0.842321 | − | 0.375025i | −0.0674396 | − | 0.0300261i | ||||
\(157\) | −19.6403 | − | 11.3393i | −1.56747 | − | 0.904978i | −0.996463 | − | 0.0840324i | \(-0.973220\pi\) |
−0.571006 | − | 0.820946i | \(-0.693447\pi\) | |||||||
\(158\) | −1.87614 | + | 0.197190i | −0.149257 | + | 0.0156876i | ||||
\(159\) | −4.06305 | + | 4.51247i | −0.322221 | + | 0.357862i | ||||
\(160\) | −6.56166 | − | 11.1348i | −0.518745 | − | 0.880283i | ||||
\(161\) | 11.7915 | − | 3.62265i | 0.929300 | − | 0.285505i | ||||
\(162\) | −2.26213 | + | 0.735012i | −0.177730 | + | 0.0577480i | ||||
\(163\) | 2.01853 | + | 1.81749i | 0.158104 | + | 0.142357i | 0.744386 | − | 0.667750i | \(-0.232742\pi\) |
−0.586282 | + | 0.810107i | \(0.699409\pi\) | |||||||
\(164\) | 6.12081 | + | 6.79785i | 0.477955 | + | 0.530823i | ||||
\(165\) | 0.106795 | − | 0.0790545i | 0.00831397 | − | 0.00615438i | ||||
\(166\) | −6.92238 | + | 7.68808i | −0.537281 | + | 0.596711i | ||||
\(167\) | 4.39654 | + | 6.05132i | 0.340214 | + | 0.468265i | 0.944504 | − | 0.328500i | \(-0.106543\pi\) |
−0.604290 | + | 0.796765i | \(0.706543\pi\) | |||||||
\(168\) | −8.35174 | − | 3.88060i | −0.644351 | − | 0.299395i | ||||
\(169\) | −10.2680 | + | 7.46011i | −0.789843 | + | 0.573854i | ||||
\(170\) | −1.08710 | + | 5.34832i | −0.0833770 | + | 0.410198i | ||||
\(171\) | 7.26505 | − | 3.23461i | 0.555573 | − | 0.247357i | ||||
\(172\) | 3.65399 | + | 8.20700i | 0.278614 | + | 0.625778i | ||||
\(173\) | 1.20177 | + | 5.65386i | 0.0913685 | + | 0.429855i | 0.999927 | + | 0.0120971i | \(0.00385072\pi\) |
−0.908558 | + | 0.417758i | \(0.862816\pi\) | |||||||
\(174\) | 0.303743 | 0.0230267 | ||||||||
\(175\) | 10.6888 | − | 7.79422i | 0.807996 | − | 0.589188i | ||||
\(176\) | −0.0160622 | −0.00121074 | ||||||||
\(177\) | 2.69693 | + | 12.6881i | 0.202714 | + | 0.953693i | ||||
\(178\) | 4.29418 | + | 9.64490i | 0.321863 | + | 0.722916i | ||||
\(179\) | −10.6014 | + | 4.72004i | −0.792385 | + | 0.352792i | −0.762688 | − | 0.646767i | \(-0.776121\pi\) |
−0.0296967 | + | 0.999559i | \(0.509454\pi\) | |||||||
\(180\) | −3.01637 | + | 2.76502i | −0.224827 | + | 0.206092i | ||||
\(181\) | −15.7783 | + | 11.4636i | −1.17279 | + | 0.852081i | −0.991340 | − | 0.131319i | \(-0.958079\pi\) |
−0.181449 | + | 0.983400i | \(0.558079\pi\) | |||||||
\(182\) | 0.997338 | − | 0.700377i | 0.0739276 | − | 0.0519154i | ||||
\(183\) | −7.51403 | − | 10.3422i | −0.555453 | − | 0.764516i | ||||
\(184\) | −8.57271 | + | 9.52096i | −0.631989 | + | 0.701895i | ||||
\(185\) | 7.22042 | + | 21.5664i | 0.530856 | + | 1.58559i | ||||
\(186\) | 1.21617 | + | 1.35070i | 0.0891742 | + | 0.0990379i | ||||
\(187\) | 0.102535 | + | 0.0923232i | 0.00749813 | + | 0.00675134i | ||||
\(188\) | 5.43166 | − | 1.76485i | 0.396144 | − | 0.128715i | ||||
\(189\) | −3.29411 | + | 14.3578i | −0.239611 | + | 1.04438i | ||||
\(190\) | 7.00557 | − | 7.92129i | 0.508237 | − | 0.574671i | ||||
\(191\) | −4.91904 | + | 5.46314i | −0.355929 | + | 0.395299i | −0.894343 | − | 0.447381i | \(-0.852357\pi\) |
0.538414 | + | 0.842680i | \(0.319023\pi\) | |||||||
\(192\) | 5.17969 | − | 0.544407i | 0.373812 | − | 0.0392892i | ||||
\(193\) | 14.3725 | + | 8.29796i | 1.03455 | + | 0.597300i | 0.918286 | − | 0.395918i | \(-0.129573\pi\) |
0.116268 | + | 0.993218i | \(0.462907\pi\) | |||||||
\(194\) | 2.53131 | + | 1.12701i | 0.181737 | + | 0.0809147i | ||||
\(195\) | 0.340570 | + | 1.53488i | 0.0243887 | + | 0.109915i | ||||
\(196\) | −7.59613 | + | 5.15391i | −0.542581 | + | 0.368137i | ||||
\(197\) | 12.6999 | − | 17.4799i | 0.904831 | − | 1.24539i | −0.0640704 | − | 0.997945i | \(-0.520408\pi\) |
0.968901 | − | 0.247448i | \(-0.0795918\pi\) | |||||||
\(198\) | −0.0112944 | − | 0.0531362i | −0.000802662 | − | 0.00377623i | ||||
\(199\) | 5.56524 | − | 9.63927i | 0.394509 | − | 0.683310i | −0.598529 | − | 0.801101i | \(-0.704248\pi\) |
0.993038 | + | 0.117791i | \(0.0375813\pi\) | |||||||
\(200\) | −5.36380 | + | 12.6493i | −0.379278 | + | 0.894439i | ||||
\(201\) | −8.29139 | − | 14.3611i | −0.584830 | − | 1.01295i | ||||
\(202\) | 3.46715 | + | 1.12655i | 0.243948 | + | 0.0792635i | ||||
\(203\) | 0.392859 | − | 0.655855i | 0.0275733 | − | 0.0460320i | ||||
\(204\) | 3.95261 | + | 2.87174i | 0.276738 | + | 0.201062i | ||||
\(205\) | 3.10686 | − | 15.2851i | 0.216993 | − | 1.06756i | ||||
\(206\) | 0.413528 | + | 3.93446i | 0.0288119 | + | 0.274127i | ||||
\(207\) | 5.63451 | + | 3.25308i | 0.391625 | + | 0.226105i | ||||
\(208\) | 0.0773032 | − | 0.173626i | 0.00536001 | − | 0.0120388i | ||||
\(209\) | −0.0826119 | − | 0.254253i | −0.00571439 | − | 0.0175871i | ||||
\(210\) | 1.24927 | + | 6.09198i | 0.0862076 | + | 0.420387i | ||||
\(211\) | 4.40396 | − | 13.5540i | 0.303181 | − | 0.933096i | −0.677169 | − | 0.735828i | \(-0.736793\pi\) |
0.980350 | − | 0.197268i | \(-0.0632068\pi\) | |||||||
\(212\) | −4.67158 | − | 4.20631i | −0.320845 | − | 0.288890i | ||||
\(213\) | 0.932020 | − | 4.38481i | 0.0638610 | − | 0.300442i | ||||
\(214\) | −6.24358 | − | 6.93419i | −0.426802 | − | 0.474012i | ||||
\(215\) | 7.54073 | − | 13.3339i | 0.514274 | − | 0.909366i | ||||
\(216\) | −4.72785 | − | 14.5508i | −0.321689 | − | 0.990058i | ||||
\(217\) | 4.48947 | − | 0.879032i | 0.304765 | − | 0.0596726i | ||||
\(218\) | − | 15.7203i | − | 1.06471i | ||||||
\(219\) | 2.30769 | + | 1.02745i | 0.155939 | + | 0.0694287i | ||||
\(220\) | 0.0818418 | + | 0.110560i | 0.00551777 | + | 0.00745397i | ||||
\(221\) | −1.49145 | + | 0.664036i | −0.100326 | + | 0.0446679i | ||||
\(222\) | −10.6328 | − | 1.11755i | −0.713624 | − | 0.0750049i | ||||
\(223\) | 4.84101 | + | 1.57294i | 0.324178 | + | 0.105332i | 0.466585 | − | 0.884476i | \(-0.345484\pi\) |
−0.142407 | + | 0.989808i | \(0.545484\pi\) | |||||||
\(224\) | 6.44387 | − | 13.8684i | 0.430549 | − | 0.926619i | ||||
\(225\) | 6.84963 | + | 1.32882i | 0.456642 | + | 0.0885877i | ||||
\(226\) | −2.93653 | − | 5.08622i | −0.195335 | − | 0.338331i | ||||
\(227\) | −1.42825 | + | 1.28600i | −0.0947963 | + | 0.0853549i | −0.715166 | − | 0.698954i | \(-0.753649\pi\) |
0.620370 | + | 0.784309i | \(0.286982\pi\) | |||||||
\(228\) | −3.85034 | − | 8.64801i | −0.254995 | − | 0.572729i | ||||
\(229\) | −0.346957 | + | 3.30108i | −0.0229276 | + | 0.218141i | 0.977059 | + | 0.212969i | \(0.0683132\pi\) |
−0.999987 | + | 0.00517269i | \(0.998353\pi\) | |||||||
\(230\) | 8.61171 | + | 0.827612i | 0.567839 | + | 0.0545712i | ||||
\(231\) | 0.148720 | + | 0.0509811i | 0.00978504 | + | 0.00335431i | ||||
\(232\) | 0.794034i | 0.0521309i | ||||||||
\(233\) | 1.61487 | − | 3.62706i | 0.105794 | − | 0.237617i | −0.852890 | − | 0.522091i | \(-0.825152\pi\) |
0.958684 | + | 0.284474i | \(0.0918189\pi\) | |||||||
\(234\) | 0.628737 | + | 0.133642i | 0.0411018 | + | 0.00873646i | ||||
\(235\) | −7.92923 | − | 5.65366i | −0.517246 | − | 0.368804i | ||||
\(236\) | −13.1354 | + | 2.79202i | −0.855043 | + | 0.181745i | ||||
\(237\) | 2.73865 | − | 0.889840i | 0.177894 | − | 0.0578013i | ||||
\(238\) | −5.94082 | + | 2.53131i | −0.385086 | + | 0.164081i | ||||
\(239\) | 3.17724 | − | 9.77854i | 0.205519 | − | 0.632521i | −0.794173 | − | 0.607692i | \(-0.792096\pi\) |
0.999692 | − | 0.0248298i | \(-0.00790437\pi\) | |||||||
\(240\) | 0.655336 | + | 0.714909i | 0.0423018 | + | 0.0461472i | ||||
\(241\) | 7.18045 | + | 1.52625i | 0.462534 | + | 0.0983146i | 0.433284 | − | 0.901258i | \(-0.357355\pi\) |
0.0292499 | + | 0.999572i | \(0.490688\pi\) | |||||||
\(242\) | 9.07643 | − | 0.953972i | 0.583455 | − | 0.0613236i | ||||
\(243\) | −11.3211 | + | 6.53626i | −0.726252 | + | 0.419302i | ||||
\(244\) | 10.7068 | − | 7.77897i | 0.685434 | − | 0.497997i | ||||
\(245\) | 14.7699 | + | 5.18184i | 0.943611 | + | 0.331056i | ||||
\(246\) | 5.93201 | + | 4.30986i | 0.378211 | + | 0.274786i | ||||
\(247\) | 3.14596 | + | 0.330654i | 0.200173 | + | 0.0210390i | ||||
\(248\) | −3.53094 | + | 3.17927i | −0.224215 | + | 0.201884i | ||||
\(249\) | 7.89575 | − | 13.6758i | 0.500373 | − | 0.866671i | ||||
\(250\) | 9.02036 | − | 2.17087i | 0.570498 | − | 0.137298i | ||||
\(251\) | −17.4438 | −1.10104 | −0.550521 | − | 0.834822i | \(-0.685571\pi\) | ||||
−0.550521 | + | 0.834822i | \(0.685571\pi\) | |||||||
\(252\) | −4.71902 | − | 1.08268i | −0.297271 | − | 0.0682026i | ||||
\(253\) | 0.128557 | − | 0.176944i | 0.00808231 | − | 0.0111243i | ||||
\(254\) | −0.137760 | + | 1.31070i | −0.00864381 | + | 0.0822403i | ||||
\(255\) | −0.0742335 | − | 8.33049i | −0.00464868 | − | 0.521676i | ||||
\(256\) | 1.56633 | + | 14.9027i | 0.0978957 | + | 0.931416i | ||||
\(257\) | −13.5742 | + | 7.83706i | −0.846734 | + | 0.488862i | −0.859548 | − | 0.511056i | \(-0.829255\pi\) |
0.0128133 | + | 0.999918i | \(0.495921\pi\) | |||||||
\(258\) | 4.23272 | + | 5.82583i | 0.263517 | + | 0.362700i | ||||
\(259\) | −16.1654 | + | 21.5133i | −1.00447 | + | 1.33677i | ||||
\(260\) | −1.58899 | + | 0.352578i | −0.0985451 | + | 0.0218660i | ||||
\(261\) | 0.394422 | − | 0.0838371i | 0.0244141 | − | 0.00518938i | ||||
\(262\) | 3.68179 | − | 17.3215i | 0.227462 | − | 1.07012i | ||||
\(263\) | 6.66317 | − | 31.3478i | 0.410869 | − | 1.93299i | 0.0548870 | − | 0.998493i | \(-0.482520\pi\) |
0.355982 | − | 0.934493i | \(-0.384147\pi\) | |||||||
\(264\) | −0.159717 | + | 0.0339490i | −0.00982992 | + | 0.00208941i | ||||
\(265\) | −1.02540 | + | 10.6698i | −0.0629898 | + | 0.655440i | ||||
\(266\) | 12.4210 | + | 1.50788i | 0.761580 | + | 0.0924541i | ||||
\(267\) | −9.47252 | − | 13.0378i | −0.579709 | − | 0.797900i | ||||
\(268\) | 14.8675 | − | 8.58373i | 0.908175 | − | 0.524335i | ||||
\(269\) | 2.69523 | + | 25.6434i | 0.164331 | + | 1.56351i | 0.696931 | + | 0.717138i | \(0.254548\pi\) |
−0.532600 | + | 0.846367i | \(0.678785\pi\) | |||||||
\(270\) | −5.99793 | + | 8.41206i | −0.365022 | + | 0.511942i | ||||
\(271\) | −1.67253 | + | 15.9131i | −0.101599 | + | 0.966652i | 0.818378 | + | 0.574680i | \(0.194874\pi\) |
−0.919977 | + | 0.391972i | \(0.871793\pi\) | |||||||
\(272\) | −0.591945 | + | 0.814743i | −0.0358919 | + | 0.0494010i | ||||
\(273\) | −1.26683 | + | 1.36224i | −0.0766722 | + | 0.0824465i | ||||
\(274\) | 2.16829 | 0.130991 | ||||||||
\(275\) | 0.0684941 | − | 0.224330i | 0.00413035 | − | 0.0135276i | ||||
\(276\) | 3.87233 | − | 6.70708i | 0.233087 | − | 0.403719i | ||||
\(277\) | 1.78253 | − | 1.60499i | 0.107102 | − | 0.0964348i | −0.613840 | − | 0.789430i | \(-0.710376\pi\) |
0.720942 | + | 0.692995i | \(0.243709\pi\) | |||||||
\(278\) | −8.63657 | − | 0.907740i | −0.517987 | − | 0.0544426i | ||||
\(279\) | 1.95206 | + | 1.41825i | 0.116867 | + | 0.0849086i | ||||
\(280\) | −15.9254 | + | 3.26579i | −0.951726 | + | 0.195168i | ||||
\(281\) | 0.317702 | − | 0.230824i | 0.0189525 | − | 0.0137698i | −0.578269 | − | 0.815846i | \(-0.696271\pi\) |
0.597221 | + | 0.802077i | \(0.296271\pi\) | |||||||
\(282\) | 3.96463 | − | 2.28898i | 0.236090 | − | 0.136307i | ||||
\(283\) | 8.22959 | − | 0.864964i | 0.489198 | − | 0.0514168i | 0.143281 | − | 0.989682i | \(-0.454235\pi\) |
0.345917 | + | 0.938265i | \(0.387568\pi\) | |||||||
\(284\) | 4.53941 | + | 0.964882i | 0.269365 | + | 0.0572552i | ||||
\(285\) | −7.94595 | + | 14.0505i | −0.470677 | + | 0.832277i | ||||
\(286\) | 0.00667727 | − | 0.0205505i | 0.000394835 | − | 0.00121518i | ||||
\(287\) | 16.9784 | − | 7.23431i | 1.00221 | − | 0.427028i | ||||
\(288\) | 7.67097 | − | 2.49245i | 0.452016 | − | 0.146869i | ||||
\(289\) | −8.16673 | + | 1.73589i | −0.480396 | + | 0.102111i | ||||
\(290\) | 0.430960 | − | 0.319017i | 0.0253068 | − | 0.0187333i | ||||
\(291\) | −4.13713 | − | 0.879373i | −0.242523 | − | 0.0515498i | ||||
\(292\) | −1.06368 | + | 2.38906i | −0.0622470 | + | 0.139809i | ||||
\(293\) | − | 22.0650i | − | 1.28905i | −0.764582 | − | 0.644526i | \(-0.777055\pi\) | ||
0.764582 | − | 0.644526i | \(-0.222945\pi\) | |||||||
\(294\) | −5.09690 | + | 5.30694i | −0.297257 | + | 0.309507i | ||||
\(295\) | 17.1525 | + | 15.1697i | 0.998659 | + | 0.883211i | ||||
\(296\) | 2.92145 | − | 27.7957i | 0.169806 | − | 1.61560i | ||||
\(297\) | 0.106234 | + | 0.238606i | 0.00616433 | + | 0.0138453i | ||||
\(298\) | 13.6446 | − | 12.2857i | 0.790413 | − | 0.711691i | ||||
\(299\) | 1.29397 | + | 2.24123i | 0.0748324 | + | 0.129614i | ||||
\(300\) | 1.58177 | − | 8.15352i | 0.0913233 | − | 0.470743i | ||||
\(301\) | 18.0539 | − | 1.60437i | 1.04061 | − | 0.0924746i | ||||
\(302\) | −17.1601 | − | 5.57564i | −0.987451 | − | 0.320842i | ||||
\(303\) | −5.53427 | − | 0.581675i | −0.317935 | − | 0.0334163i | ||||
\(304\) | 1.78260 | − | 0.793663i | 0.102239 | − | 0.0455197i | ||||
\(305\) | −21.5233 | − | 6.78193i | −1.23242 | − | 0.388332i | ||||
\(306\) | −3.11153 | − | 1.38534i | −0.177874 | − | 0.0791947i | ||||
\(307\) | 0.714810i | 0.0407964i | 0.999792 | + | 0.0203982i | \(0.00649340\pi\) | ||||
−0.999792 | + | 0.0203982i | \(0.993507\pi\) | |||||||
\(308\) | −0.0527786 | + | 0.153963i | −0.00300734 | + | 0.00877288i | ||||
\(309\) | −1.86609 | − | 5.74323i | −0.106158 | − | 0.326721i | ||||
\(310\) | 3.14416 | + | 0.639083i | 0.178576 | + | 0.0362975i | ||||
\(311\) | −5.63699 | − | 6.26051i | −0.319644 | − | 0.355001i | 0.561813 | − | 0.827264i | \(-0.310104\pi\) |
−0.881458 | + | 0.472263i | \(0.843437\pi\) | |||||||
\(312\) | 0.401703 | − | 1.88986i | 0.0227420 | − | 0.106992i | ||||
\(313\) | 15.4661 | + | 13.9257i | 0.874195 | + | 0.787129i | 0.978247 | − | 0.207443i | \(-0.0665141\pi\) |
−0.104052 | + | 0.994572i | \(0.533181\pi\) | |||||||
\(314\) | 5.81561 | − | 17.8986i | 0.328194 | − | 1.01008i | ||||
\(315\) | 3.30369 | + | 7.56586i | 0.186142 | + | 0.426288i | ||||
\(316\) | 0.921214 | + | 2.83521i | 0.0518223 | + | 0.159493i | ||||
\(317\) | 2.62700 | − | 5.90033i | 0.147547 | − | 0.331396i | −0.824619 | − | 0.565688i | \(-0.808611\pi\) |
0.972166 | + | 0.234292i | \(0.0752773\pi\) | |||||||
\(318\) | −4.36382 | − | 2.51945i | −0.244711 | − | 0.141284i | ||||
\(319\) | −0.00141691 | − | 0.0134810i | −7.93319e−5 | − | 0.000754793i | ||||
\(320\) | 6.77732 | − | 6.21256i | 0.378864 | − | 0.347293i | ||||
\(321\) | 11.5228 | + | 8.37183i | 0.643142 | + | 0.467270i | ||||
\(322\) | 4.97496 | + | 8.94622i | 0.277244 | + | 0.498553i | ||||
\(323\) | −15.9413 | − | 5.17964i | −0.886998 | − | 0.288203i | ||||
\(324\) | 1.87936 | + | 3.25515i | 0.104409 | + | 0.180841i | ||||
\(325\) | 2.09526 | + | 1.82003i | 0.116224 | + | 0.100957i | ||||
\(326\) | −1.12701 | + | 1.95204i | −0.0624192 | + | 0.108113i | ||||
\(327\) | 4.98905 | + | 23.4717i | 0.275895 | + | 1.29799i | ||||
\(328\) | −11.2667 | + | 15.5072i | −0.622098 | + | 0.856244i | ||||
\(329\) | 0.185356 | − | 11.5211i | 0.0102190 | − | 0.635181i | ||||
\(330\) | 0.0825948 | + | 0.0730466i | 0.00454669 | + | 0.00402108i | ||||
\(331\) | 28.2436 | + | 12.5748i | 1.55241 | + | 0.691176i | 0.990688 | − | 0.136152i | \(-0.0434736\pi\) |
0.561719 | + | 0.827328i | \(0.310140\pi\) | |||||||
\(332\) | 14.1580 | + | 8.17414i | 0.777023 | + | 0.448614i | ||||
\(333\) | −14.1155 | + | 1.48360i | −0.773524 | + | 0.0813007i | ||||
\(334\) | −4.15335 | + | 4.61276i | −0.227261 | + | 0.252399i | ||||
\(335\) | −26.8473 | − | 11.6677i | −1.46683 | − | 0.637473i | ||||
\(336\) | −0.256606 | + | 1.11845i | −0.0139990 | + | 0.0610166i | ||||
\(337\) | −11.8534 | + | 3.85139i | −0.645694 | + | 0.209799i | −0.613515 | − | 0.789683i | \(-0.710245\pi\) |
−0.0321795 | + | 0.999482i | \(0.510245\pi\) | |||||||
\(338\) | −7.82699 | − | 7.04746i | −0.425732 | − | 0.383331i | ||||
\(339\) | 5.99867 | + | 6.66220i | 0.325803 | + | 0.361841i | ||||
\(340\) | 8.62421 | − | 0.0768509i | 0.467714 | − | 0.00416782i | ||||
\(341\) | 0.0542747 | − | 0.0602782i | 0.00293914 | − | 0.00326425i | ||||
\(342\) | 3.87902 | + | 5.33902i | 0.209754 | + | 0.288701i | ||||
\(343\) | 4.86668 | + | 17.8694i | 0.262776 | + | 0.964857i | ||||
\(344\) | −15.2297 | + | 11.0650i | −0.821129 | + | 0.596585i | ||||
\(345\) | −13.1206 | + | 1.49736i | −0.706392 | + | 0.0806149i | ||||
\(346\) | −4.38194 | + | 1.95096i | −0.235574 | + | 0.104884i | ||||
\(347\) | 8.28490 | + | 18.6082i | 0.444757 | + | 0.998940i | 0.987293 | + | 0.158908i | \(0.0507973\pi\) |
−0.542537 | + | 0.840032i | \(0.682536\pi\) | |||||||
\(348\) | −0.0997961 | − | 0.469504i | −0.00534963 | − | 0.0251680i | ||||
\(349\) | −6.66647 | −0.356848 | −0.178424 | − | 0.983954i | \(-0.557100\pi\) | ||||
−0.178424 | + | 0.983954i | \(0.557100\pi\) | |||||||
\(350\) | 8.17080 | + | 7.33140i | 0.436748 | + | 0.391880i | ||||
\(351\) | −3.09050 | −0.164959 | ||||||||
\(352\) | −0.0563734 | − | 0.265216i | −0.00300471 | − | 0.0141361i | ||||
\(353\) | 6.63305 | + | 14.8981i | 0.353042 | + | 0.792945i | 0.999549 | + | 0.0300366i | \(0.00956240\pi\) |
−0.646507 | + | 0.762908i | \(0.723771\pi\) | |||||||
\(354\) | −9.83368 | + | 4.37824i | −0.522654 | + | 0.232701i | ||||
\(355\) | −3.28291 | − | 7.20018i | −0.174239 | − | 0.382146i | ||||
\(356\) | 13.4975 | − | 9.80650i | 0.715366 | − | 0.519744i | ||||
\(357\) | 8.06678 | − | 5.66486i | 0.426939 | − | 0.299816i | ||||
\(358\) | −5.66039 | − | 7.79086i | −0.299161 | − | 0.411760i | ||||
\(359\) | 16.9203 | − | 18.7919i | 0.893021 | − | 0.991800i | −0.106976 | − | 0.994262i | \(-0.534117\pi\) |
0.999997 | + | 0.00246114i | \(0.000783406\pi\) | |||||||
\(360\) | −6.98151 | − | 4.97793i | −0.367958 | − | 0.262360i | ||||
\(361\) | 9.01797 | + | 10.0155i | 0.474630 | + | 0.527130i | ||||
\(362\) | −12.0274 | − | 10.8295i | −0.632144 | − | 0.569185i | ||||
\(363\) | −13.2491 | + | 4.30489i | −0.695397 | + | 0.225948i | ||||
\(364\) | −1.41027 | − | 1.31150i | −0.0739182 | − | 0.0687413i | ||||
\(365\) | 4.35334 | − | 0.965953i | 0.227864 | − | 0.0505603i | ||||
\(366\) | 7.09840 | − | 7.88357i | 0.371039 | − | 0.412081i | ||||
\(367\) | −21.1319 | + | 2.22105i | −1.10308 | + | 0.115938i | −0.638520 | − | 0.769605i | \(-0.720453\pi\) |
−0.464557 | + | 0.885543i | \(0.653786\pi\) | |||||||
\(368\) | 1.38252 | + | 0.798196i | 0.0720687 | + | 0.0416089i | ||||
\(369\) | 8.89252 | + | 3.95920i | 0.462926 | + | 0.206108i | ||||
\(370\) | −16.2598 | + | 9.58179i | −0.845307 | + | 0.498134i | ||||
\(371\) | −11.0842 | + | 6.16391i | −0.575465 | + | 0.320014i | ||||
\(372\) | 1.68823 | − | 2.32365i | 0.0875306 | − | 0.120476i | ||||
\(373\) | 5.97351 | + | 28.1031i | 0.309297 | + | 1.45513i | 0.808426 | + | 0.588598i | \(0.200320\pi\) |
−0.499129 | + | 0.866528i | \(0.666347\pi\) | |||||||
\(374\) | −0.0572486 | + | 0.0991575i | −0.00296026 | + | 0.00512731i | ||||
\(375\) | −12.7792 | + | 6.10403i | −0.659914 | + | 0.315211i | ||||
\(376\) | 5.98377 | + | 10.3642i | 0.308589 | + | 0.534492i | ||||
\(377\) | 0.152544 | + | 0.0495644i | 0.00785639 | + | 0.00255270i | ||||
\(378\) | −12.2227 | − | 0.196643i | −0.628668 | − | 0.0101142i | ||||
\(379\) | −12.9786 | − | 9.42949i | −0.666665 | − | 0.484361i | 0.202242 | − | 0.979336i | \(-0.435177\pi\) |
−0.868907 | + | 0.494975i | \(0.835177\pi\) | |||||||
\(380\) | −14.5458 | − | 8.22611i | −0.746186 | − | 0.421990i | ||||
\(381\) | −0.210282 | − | 2.00070i | −0.0107730 | − | 0.102499i | ||||
\(382\) | −5.28317 | − | 3.05024i | −0.270311 | − | 0.156064i | ||||
\(383\) | −4.40179 | + | 9.88658i | −0.224921 | + | 0.505181i | −0.990392 | − | 0.138290i | \(-0.955839\pi\) |
0.765471 | + | 0.643471i | \(0.222506\pi\) | |||||||
\(384\) | −3.18935 | − | 9.81580i | −0.162756 | − | 0.500911i | ||||
\(385\) | 0.264553 | − | 0.0838643i | 0.0134828 | − | 0.00427412i | ||||
\(386\) | −4.25578 | + | 13.0979i | −0.216613 | + | 0.666667i | ||||
\(387\) | 7.10435 | + | 6.39678i | 0.361134 | + | 0.325167i | ||||
\(388\) | 0.910378 | − | 4.28299i | 0.0462175 | − | 0.217436i | ||||
\(389\) | −7.52030 | − | 8.35214i | −0.381294 | − | 0.423470i | 0.521696 | − | 0.853132i | \(-0.325300\pi\) |
−0.902990 | + | 0.429661i | \(0.858633\pi\) | |||||||
\(390\) | −1.18711 | + | 0.541261i | −0.0601116 | + | 0.0274078i | ||||
\(391\) | −4.23757 | − | 13.0419i | −0.214303 | − | 0.659557i | ||||
\(392\) | −13.8732 | − | 13.3241i | −0.700703 | − | 0.672970i | ||||
\(393\) | 27.0308i | 1.36353i | ||||||||
\(394\) | 16.3797 | + | 7.29273i | 0.825200 | + | 0.367403i | ||||
\(395\) | 2.95109 | − | 4.13888i | 0.148485 | − | 0.208250i | ||||
\(396\) | −0.0784231 | + | 0.0349162i | −0.00394091 | + | 0.00175461i | ||||
\(397\) | −32.3270 | − | 3.39770i | −1.62244 | − | 0.170526i | −0.750754 | − | 0.660582i | \(-0.770309\pi\) |
−0.871691 | + | 0.490056i | \(0.836976\pi\) | |||||||
\(398\) | 8.78446 | + | 2.85424i | 0.440325 | + | 0.143070i | ||||
\(399\) | −19.0241 | + | 1.69059i | −0.952396 | + | 0.0846353i | ||||
\(400\) | 1.68067 | + | 0.326046i | 0.0840334 | + | 0.0163023i | ||||
\(401\) | −1.93712 | − | 3.35519i | −0.0967351 | − | 0.167550i | 0.813596 | − | 0.581430i | \(-0.197507\pi\) |
−0.910331 | + | 0.413880i | \(0.864173\pi\) | |||||||
\(402\) | 10.2265 | − | 9.20796i | 0.510050 | − | 0.459251i | ||||
\(403\) | 0.390372 | + | 0.876790i | 0.0194458 | + | 0.0436760i | ||||
\(404\) | 0.602184 | − | 5.72939i | 0.0299598 | − | 0.285048i | ||||
\(405\) | 2.55457 | − | 5.87807i | 0.126938 | − | 0.292083i | ||||
\(406\) | 0.600144 | + | 0.205729i | 0.0297846 | + | 0.0102102i | ||||
\(407\) | 0.477126i | 0.0236503i | ||||||||
\(408\) | −4.16407 | + | 9.35266i | −0.206152 | + | 0.463026i | ||||
\(409\) | −14.3548 | − | 3.05120i | −0.709798 | − | 0.150872i | −0.161155 | − | 0.986929i | \(-0.551522\pi\) |
−0.548643 | + | 0.836057i | \(0.684855\pi\) | |||||||
\(410\) | 12.9431 | − | 0.115337i | 0.639213 | − | 0.00569607i | ||||
\(411\) | −3.23744 | + | 0.688138i | −0.159691 | + | 0.0339434i | ||||
\(412\) | 5.94572 | − | 1.93188i | 0.292925 | − | 0.0951770i | ||||
\(413\) | −3.26512 | + | 26.8961i | −0.160666 | + | 1.32347i | ||||
\(414\) | −1.66841 | + | 5.13484i | −0.0819979 | + | 0.252363i | ||||
\(415\) | −3.16078 | − | 27.6965i | −0.155157 | − | 1.35957i | ||||
\(416\) | 3.13818 | + | 0.667042i | 0.153862 | + | 0.0327044i | ||||
\(417\) | 13.1832 | − | 1.38561i | 0.645584 | − | 0.0678536i | ||||
\(418\) | 0.192126 | − | 0.110924i | 0.00939719 | − | 0.00542547i | ||||
\(419\) | 20.1333 | − | 14.6277i | 0.983578 | − | 0.714611i | 0.0250727 | − | 0.999686i | \(-0.492018\pi\) |
0.958505 | + | 0.285074i | \(0.0920183\pi\) | |||||||
\(420\) | 9.00608 | − | 3.93257i | 0.439452 | − | 0.191890i | ||||
\(421\) | 18.5876 | + | 13.5047i | 0.905903 | + | 0.658177i | 0.939975 | − | 0.341243i | \(-0.110848\pi\) |
−0.0340727 | + | 0.999419i | \(0.510848\pi\) | |||||||
\(422\) | 11.7617 | + | 1.23621i | 0.572551 | + | 0.0601775i | ||||
\(423\) | 4.51644 | − | 4.06662i | 0.219597 | − | 0.197726i | ||||
\(424\) | 6.58626 | − | 11.4077i | 0.319857 | − | 0.554009i | ||||
\(425\) | −8.85470 | − | 11.7416i | −0.429516 | − | 0.569550i | ||||
\(426\) | 3.71999 | 0.180234 | ||||||||
\(427\) | −7.84153 | − | 25.5237i | −0.379478 | − | 1.23518i | ||||
\(428\) | −8.66701 | + | 11.9291i | −0.418936 | + | 0.576615i | ||||
\(429\) | −0.00344771 | + | 0.0328027i | −0.000166457 | + | 0.00158373i | ||||
\(430\) | 12.1243 | + | 3.82031i | 0.584684 | + | 0.184232i | ||||
\(431\) | −2.40697 | − | 22.9008i | −0.115940 | − | 1.10309i | −0.885539 | − | 0.464566i | \(-0.846210\pi\) |
0.769599 | − | 0.638528i | \(-0.220456\pi\) | |||||||
\(432\) | −1.65099 | + | 0.953199i | −0.0794332 | + | 0.0458608i | ||||
\(433\) | 5.11465 | + | 7.03972i | 0.245795 | + | 0.338307i | 0.914033 | − | 0.405640i | \(-0.132951\pi\) |
−0.668238 | + | 0.743947i | \(0.732951\pi\) | |||||||
\(434\) | 1.48810 | + | 3.49247i | 0.0714312 | + | 0.167644i | ||||
\(435\) | −0.542214 | + | 0.613089i | −0.0259972 | + | 0.0293954i | ||||
\(436\) | −24.2992 | + | 5.16496i | −1.16372 | + | 0.247357i | ||||
\(437\) | −5.52425 | + | 25.9896i | −0.264261 | + | 1.24325i | ||||
\(438\) | −0.435835 | + | 2.05044i | −0.0208250 | + | 0.0979739i | ||||
\(439\) | 38.1136 | − | 8.10130i | 1.81906 | − | 0.386654i | 0.833034 | − | 0.553222i | \(-0.186602\pi\) |
0.986030 | + | 0.166568i | \(0.0532686\pi\) | |||||||
\(440\) | −0.190956 | + | 0.215916i | −0.00910345 | + | 0.0102934i | ||||
\(441\) | −5.15374 | + | 8.29808i | −0.245416 | + | 0.395147i | ||||
\(442\) | −0.796329 | − | 1.09605i | −0.0378775 | − | 0.0521339i | ||||
\(443\) | −26.3546 | + | 15.2158i | −1.25214 | + | 0.722926i | −0.971535 | − | 0.236896i | \(-0.923870\pi\) |
−0.280610 | + | 0.959822i | \(0.590537\pi\) | |||||||
\(444\) | 1.76601 | + | 16.8025i | 0.0838113 | + | 0.797411i | ||||
\(445\) | −27.1333 | − | 8.54959i | −1.28624 | − | 0.405290i | ||||
\(446\) | −0.441529 | + | 4.20087i | −0.0209070 | + | 0.198917i | ||||
\(447\) | −16.4735 | + | 22.6739i | −0.779171 | + | 1.07244i | ||||
\(448\) | 10.6029 | + | 2.43262i | 0.500940 | + | 0.114930i | ||||
\(449\) | 14.9651 | 0.706246 | 0.353123 | − | 0.935577i | \(-0.385120\pi\) | ||||
0.353123 | + | 0.935577i | \(0.385120\pi\) | |||||||
\(450\) | 0.103183 | + | 5.78916i | 0.00486411 | + | 0.272904i | ||||
\(451\) | 0.163612 | − | 0.283385i | 0.00770421 | − | 0.0133441i | ||||
\(452\) | −6.89710 | + | 6.21017i | −0.324412 | + | 0.292102i | ||||
\(453\) | 27.3909 | + | 2.87890i | 1.28694 | + | 0.135262i | ||||
\(454\) | −1.29028 | − | 0.937442i | −0.0605558 | − | 0.0439963i | ||||
\(455\) | −0.366684 | + | 3.26332i | −0.0171904 | + | 0.152987i | ||||
\(456\) | 16.0481 | − | 11.6596i | 0.751520 | − | 0.546011i | ||||
\(457\) | −14.9712 | + | 8.64364i | −0.700324 | + | 0.404332i | −0.807468 | − | 0.589911i | \(-0.799163\pi\) |
0.107144 | + | 0.994244i | \(0.465829\pi\) | |||||||
\(458\) | −2.73937 | + | 0.287919i | −0.128002 | + | 0.0134536i | ||||
\(459\) | 16.0182 | + | 3.40476i | 0.747663 | + | 0.158921i | ||||
\(460\) | −1.55015 | − | 13.5833i | −0.0722761 | − | 0.633322i | ||||
\(461\) | 8.09466 | − | 24.9128i | 0.377006 | − | 1.16030i | −0.565110 | − | 0.825016i | \(-0.691166\pi\) |
0.942115 | − | 0.335289i | \(-0.108834\pi\) | |||||||
\(462\) | −0.0157226 | + | 0.129513i | −0.000731481 | + | 0.00602548i | ||||
\(463\) | 4.39156 | − | 1.42690i | 0.204093 | − | 0.0663138i | −0.205187 | − | 0.978723i | \(-0.565780\pi\) |
0.409279 | + | 0.912409i | \(0.365780\pi\) | |||||||
\(464\) | 0.0967778 | − | 0.0205708i | 0.00449280 | − | 0.000954974i | ||||
\(465\) | −4.89731 | + | 0.0436402i | −0.227107 | + | 0.00202377i | ||||
\(466\) | 3.22273 | + | 0.685013i | 0.149290 | + | 0.0317326i | ||||
\(467\) | 16.7411 | − | 37.6011i | 0.774685 | − | 1.73997i | 0.108612 | − | 0.994084i | \(-0.465359\pi\) |
0.666073 | − | 0.745887i | \(-0.267974\pi\) | |||||||
\(468\) | − | 1.01576i | − | 0.0469537i | ||||||
\(469\) | −6.65538 | − | 33.9909i | −0.307317 | − | 1.56956i | ||||
\(470\) | 3.22106 | − | 7.41166i | 0.148576 | − | 0.341874i | ||||
\(471\) | −3.00280 | + | 28.5698i | −0.138362 | + | 1.31643i | ||||
\(472\) | −11.4454 | − | 25.7068i | −0.526818 | − | 1.18325i | ||||
\(473\) | 0.238823 | − | 0.215037i | 0.0109811 | − | 0.00988741i | ||||
\(474\) | 1.19480 | + | 2.06945i | 0.0548789 | + | 0.0950530i | ||||
\(475\) | 3.48301 | + | 28.2807i | 0.159811 | + | 1.29761i | ||||
\(476\) | 5.86460 | + | 8.35120i | 0.268803 | + | 0.382777i | ||||
\(477\) | −6.36199 | − | 2.06714i | −0.291296 | − | 0.0946477i | ||||
\(478\) | 8.48550 | + | 0.891862i | 0.388118 | + | 0.0407928i | ||||
\(479\) | 10.8683 | − | 4.83886i | 0.496583 | − | 0.221093i | −0.143134 | − | 0.989703i | \(-0.545718\pi\) |
0.639717 | + | 0.768610i | \(0.279051\pi\) | |||||||
\(480\) | −9.50441 | + | 13.3299i | −0.433815 | + | 0.608423i | ||||
\(481\) | −5.15754 | − | 2.29628i | −0.235163 | − | 0.104701i | ||||
\(482\) | 6.09176i | 0.277472i | ||||||||
\(483\) | −10.2672 | − | 11.7786i | −0.467175 | − | 0.535943i | ||||
\(484\) | −4.45668 | − | 13.7162i | −0.202576 | − | 0.623466i | ||||
\(485\) | −6.79347 | + | 3.09747i | −0.308475 | + | 0.140649i | ||||
\(486\) | −7.25881 | − | 8.06173i | −0.329266 | − | 0.365687i | ||||
\(487\) | 1.31597 | − | 6.19114i | 0.0596322 | − | 0.280547i | −0.938221 | − | 0.346036i | \(-0.887527\pi\) |
0.997853 | + | 0.0654889i | \(0.0208607\pi\) | |||||||
\(488\) | 20.6089 | + | 18.5564i | 0.932923 | + | 0.840007i | ||||
\(489\) | 1.06321 | − | 3.27222i | 0.0480800 | − | 0.147975i | ||||
\(490\) | −1.65784 | + | 12.8828i | −0.0748937 | + | 0.581987i | ||||
\(491\) | 0.449487 | + | 1.38338i | 0.0202851 | + | 0.0624310i | 0.960687 | − | 0.277635i | \(-0.0895506\pi\) |
−0.940402 | + | 0.340066i | \(0.889551\pi\) | |||||||
\(492\) | 4.71287 | − | 10.5853i | 0.212473 | − | 0.477221i | ||||
\(493\) | −0.736032 | − | 0.424948i | −0.0331492 | − | 0.0191387i | ||||
\(494\) | 0.274390 | + | 2.61065i | 0.0123454 | + | 0.117459i | ||||
\(495\) | 0.127414 | + | 0.0720566i | 0.00572685 | + | 0.00323870i | ||||
\(496\) | 0.478969 | + | 0.347991i | 0.0215063 | + | 0.0156253i | ||||
\(497\) | 4.81140 | − | 8.03235i | 0.215821 | − | 0.360300i | ||||
\(498\) | 12.4631 | + | 4.04950i | 0.558483 | + | 0.181462i | ||||
\(499\) | 18.9229 | + | 32.7755i | 0.847106 | + | 1.46723i | 0.883780 | + | 0.467904i | \(0.154991\pi\) |
−0.0366734 | + | 0.999327i | \(0.511676\pi\) | |||||||
\(500\) | −6.31924 | − | 13.2298i | −0.282605 | − | 0.591653i | ||||
\(501\) | 4.73736 | − | 8.20535i | 0.211650 | − | 0.366588i | ||||
\(502\) | −3.00964 | − | 14.1592i | −0.134327 | − | 0.631958i | ||||
\(503\) | 12.8513 | − | 17.6883i | 0.573012 | − | 0.788684i | −0.419895 | − | 0.907573i | \(-0.637933\pi\) |
0.992908 | + | 0.118889i | \(0.0379332\pi\) | |||||||
\(504\) | 0.163202 | − | 10.1441i | 0.00726959 | − | 0.451855i | ||||
\(505\) | −8.46310 | + | 4.98725i | −0.376603 | + | 0.221930i | ||||
\(506\) | 0.165807 | + | 0.0738219i | 0.00737101 | + | 0.00328178i | ||||
\(507\) | 13.9230 | + | 8.03842i | 0.618340 | + | 0.356999i | ||||
\(508\) | 2.07124 | − | 0.217696i | 0.0918962 | − | 0.00965868i | ||||
\(509\) | 0.162525 | − | 0.180502i | 0.00720379 | − | 0.00800062i | −0.739532 | − | 0.673121i | \(-0.764953\pi\) |
0.746736 | + | 0.665121i | \(0.231620\pi\) | |||||||
\(510\) | 6.74911 | − | 1.49755i | 0.298856 | − | 0.0663125i | ||||
\(511\) | 3.86369 | + | 3.59309i | 0.170920 | + | 0.158949i | ||||
\(512\) | 3.67186 | − | 1.19306i | 0.162275 | − | 0.0527263i | ||||
\(513\) | −23.5799 | − | 21.2314i | −1.04108 | − | 0.937390i | ||||
\(514\) | −8.70340 | − | 9.66611i | −0.383891 | − | 0.426354i | ||||
\(515\) | −8.67968 | − | 6.18874i | −0.382472 | − | 0.272709i | ||||
\(516\) | 7.61446 | − | 8.45672i | 0.335208 | − | 0.372286i | ||||
\(517\) | −0.120086 | − | 0.165284i | −0.00528138 | − | 0.00726920i | ||||
\(518\) | −20.2515 | − | 9.40978i | −0.889802 | − | 0.413442i | ||||
\(519\) | 5.92342 | − | 4.30362i | 0.260009 | − | 0.188908i | ||||
\(520\) | −1.41494 | − | 3.10330i | −0.0620494 | − | 0.136089i | ||||
\(521\) | 2.10983 | − | 0.939358i | 0.0924334 | − | 0.0411540i | −0.359999 | − | 0.932953i | \(-0.617223\pi\) |
0.452433 | + | 0.891799i | \(0.350556\pi\) | |||||||
\(522\) | 0.136102 | + | 0.305691i | 0.00595704 | + | 0.0133797i | ||||
\(523\) | −1.62682 | − | 7.65359i | −0.0711359 | − | 0.334668i | 0.928160 | − | 0.372181i | \(-0.121390\pi\) |
−0.999296 | + | 0.0375128i | \(0.988057\pi\) | |||||||
\(524\) | −27.9839 | −1.22248 | ||||||||
\(525\) | −14.5264 | − | 8.35326i | −0.633984 | − | 0.364566i | ||||
\(526\) | 26.5948 | 1.15959 | ||||||||
\(527\) | −1.05736 | − | 4.97449i | −0.0460593 | − | 0.216692i | ||||
\(528\) | 0.00827548 | + | 0.0185870i | 0.000360144 | + | 0.000808897i | ||||
\(529\) | 1.15328 | − | 0.513473i | 0.0501426 | − | 0.0223249i | ||||
\(530\) | −8.83766 | + | 1.00857i | −0.383883 | + | 0.0438096i | ||||
\(531\) | −11.5610 | + | 8.39953i | −0.501703 | + | 0.364508i | ||||
\(532\) | −1.75020 | − | 19.6949i | −0.0758806 | − | 0.853880i | ||||
\(533\) | 2.27585 | + | 3.13244i | 0.0985780 | + | 0.135681i | ||||
\(534\) | 8.94855 | − | 9.93837i | 0.387242 | − | 0.430075i | ||||
\(535\) | 25.1417 | − | 0.224039i | 1.08697 | − | 0.00968607i | ||||
\(536\) | 24.0711 | + | 26.7337i | 1.03971 | + | 1.15472i | ||||
\(537\) | 10.9240 | + | 9.83598i | 0.471404 | + | 0.424454i | ||||
\(538\) | −20.3499 | + | 6.61209i | −0.877347 | + | 0.285067i | ||||
\(539\) | 0.259314 | + | 0.201460i | 0.0111695 | + | 0.00867748i | ||||
\(540\) | 14.9734 | + | 6.50733i | 0.644352 | + | 0.280031i | ||||
\(541\) | −6.47243 | + | 7.18836i | −0.278271 | + | 0.309052i | −0.866037 | − | 0.499979i | \(-0.833341\pi\) |
0.587766 | + | 0.809031i | \(0.300008\pi\) | |||||||
\(542\) | −13.2054 | + | 1.38794i | −0.567218 | + | 0.0596171i | ||||
\(543\) | 21.3947 | + | 12.3522i | 0.918135 | + | 0.530085i | ||||
\(544\) | −15.5304 | − | 6.91458i | −0.665861 | − | 0.296460i | ||||
\(545\) | 31.7305 | + | 28.0624i | 1.35919 | + | 1.20206i | ||||
\(546\) | −1.32431 | − | 0.793266i | −0.0566753 | − | 0.0339486i | ||||
\(547\) | 1.40111 | − | 1.92847i | 0.0599073 | − | 0.0824553i | −0.778012 | − | 0.628249i | \(-0.783772\pi\) |
0.837919 | + | 0.545794i | \(0.183772\pi\) | |||||||
\(548\) | −0.712401 | − | 3.35158i | −0.0304323 | − | 0.143172i | ||||
\(549\) | 7.04158 | − | 12.1964i | 0.300527 | − | 0.520528i | ||||
\(550\) | 0.193908 | + | 0.0168927i | 0.00826825 | + | 0.000720309i | ||||
\(551\) | 0.823373 | + | 1.42612i | 0.0350769 | + | 0.0607549i | ||||
\(552\) | 15.4343 | + | 5.01492i | 0.656929 | + | 0.213449i | ||||
\(553\) | 6.01379 | + | 0.0967517i | 0.255732 | + | 0.00411430i | ||||
\(554\) | 1.61033 | + | 1.16997i | 0.0684164 | + | 0.0497075i | ||||
\(555\) | 21.2363 | − | 19.4667i | 0.901431 | − | 0.826315i | ||||
\(556\) | 1.43446 | + | 13.6480i | 0.0608348 | + | 0.578805i | ||||
\(557\) | −6.61551 | − | 3.81947i | −0.280308 | − | 0.161836i | 0.353255 | − | 0.935527i | \(-0.385075\pi\) |
−0.633563 | + | 0.773691i | \(0.718408\pi\) | |||||||
\(558\) | −0.814410 | + | 1.82920i | −0.0344767 | + | 0.0774360i | ||||
\(559\) | 1.17507 | + | 3.61649i | 0.0497001 | + | 0.152961i | ||||
\(560\) | 0.810612 | + | 1.85640i | 0.0342546 | + | 0.0784474i | ||||
\(561\) | 0.0540078 | − | 0.166219i | 0.00228021 | − | 0.00701777i | ||||
\(562\) | 0.242176 | + | 0.218056i | 0.0102156 | + | 0.00919814i | ||||
\(563\) | 3.37825 | − | 15.8934i | 0.142376 | − | 0.669828i | −0.847836 | − | 0.530259i | \(-0.822095\pi\) |
0.990212 | − | 0.139569i | \(-0.0445718\pi\) | |||||||
\(564\) | −4.84073 | − | 5.37618i | −0.203832 | − | 0.226378i | ||||
\(565\) | 15.5083 | + | 3.15222i | 0.652438 | + | 0.132615i | ||||
\(566\) | 2.12198 | + | 6.53078i | 0.0891934 | + | 0.274509i | ||||
\(567\) | 7.44212 | − | 1.45716i | 0.312540 | − | 0.0611949i | ||||
\(568\) | 9.72465i | 0.408037i | ||||||||
\(569\) | −20.9942 | − | 9.34720i | −0.880121 | − | 0.391855i | −0.0836240 | − | 0.996497i | \(-0.526649\pi\) |
−0.796497 | + | 0.604642i | \(0.793316\pi\) | |||||||
\(570\) | −12.7758 | − | 4.02561i | −0.535119 | − | 0.168614i | ||||
\(571\) | −6.80998 | + | 3.03200i | −0.284989 | + | 0.126885i | −0.544253 | − | 0.838921i | \(-0.683187\pi\) |
0.259264 | + | 0.965807i | \(0.416520\pi\) | |||||||
\(572\) | −0.0339593 | − | 0.00356927i | −0.00141991 | − | 0.000149239i | ||||
\(573\) | 8.85625 | + | 2.87757i | 0.369975 | + | 0.120212i | ||||
\(574\) | 8.80150 | + | 12.5334i | 0.367367 | + | 0.523132i | ||||
\(575\) | −17.0433 | + | 15.9049i | −0.710755 | + | 0.663279i | ||||
\(576\) | 2.86883 | + | 4.96896i | 0.119535 | + | 0.207040i | ||||
\(577\) | 3.16062 | − | 2.84583i | 0.131578 | − | 0.118474i | −0.600714 | − | 0.799464i | \(-0.705117\pi\) |
0.732293 | + | 0.680990i | \(0.238450\pi\) | |||||||
\(578\) | −2.81807 | − | 6.32949i | −0.117216 | − | 0.263272i | ||||
\(579\) | 2.19741 | − | 20.9069i | 0.0913210 | − | 0.868862i | ||||
\(580\) | −0.634706 | − | 0.561332i | −0.0263547 | − | 0.0233080i | ||||
\(581\) | 24.8635 | − | 21.6732i | 1.03151 | − | 0.899155i | ||||
\(582\) | − | 3.50986i | − | 0.145488i | ||||||
\(583\) | −0.0914643 | + | 0.205432i | −0.00378807 | + | 0.00850813i | ||||
\(584\) | −5.36019 | − | 1.13934i | −0.221806 | − | 0.0471463i | ||||
\(585\) | −1.39211 | + | 1.03051i | −0.0575567 | + | 0.0426062i | ||||
\(586\) | 17.9103 | − | 3.80696i | 0.739869 | − | 0.157264i | ||||
\(587\) | 7.96474 | − | 2.58790i | 0.328740 | − | 0.106814i | −0.139997 | − | 0.990152i | \(-0.544709\pi\) |
0.468737 | + | 0.883338i | \(0.344709\pi\) | |||||||
\(588\) | 9.87769 | + | 6.13479i | 0.407349 | + | 0.252995i | ||||
\(589\) | −3.04500 | + | 9.37153i | −0.125467 | + | 0.386147i | ||||
\(590\) | −9.35393 | + | 16.5401i | −0.385095 | + | 0.680946i | ||||
\(591\) | −26.7707 | − | 5.69030i | −1.10120 | − | 0.234068i | ||||
\(592\) | −3.46346 | + | 0.364025i | −0.142347 | + | 0.0149613i | ||||
\(593\) | −11.2650 | + | 6.50383i | −0.462596 | + | 0.267080i | −0.713135 | − | 0.701026i | \(-0.752726\pi\) |
0.250539 | + | 0.968107i | \(0.419392\pi\) | |||||||
\(594\) | −0.175349 | + | 0.127399i | −0.00719466 | + | 0.00522723i | ||||
\(595\) | 5.49568 | − | 16.5099i | 0.225301 | − | 0.676839i | ||||
\(596\) | −23.4733 | − | 17.0544i | −0.961504 | − | 0.698574i | ||||
\(597\) | −14.0217 | − | 1.47375i | −0.573872 | − | 0.0603164i | ||||
\(598\) | −1.59597 | + | 1.43702i | −0.0652640 | + | 0.0587639i | ||||
\(599\) | −10.7146 | + | 18.5582i | −0.437787 | + | 0.758269i | −0.997519 | − | 0.0704047i | \(-0.977571\pi\) |
0.559732 | + | 0.828674i | \(0.310904\pi\) | |||||||
\(600\) | 17.4011 | − | 0.310149i | 0.710398 | − | 0.0126618i | ||||
\(601\) | −20.8087 | −0.848804 | −0.424402 | − | 0.905474i | \(-0.639516\pi\) | ||||
−0.424402 | + | 0.905474i | \(0.639516\pi\) | |||||||
\(602\) | 4.41720 | + | 14.3777i | 0.180031 | + | 0.585991i | ||||
\(603\) | 10.7380 | − | 14.7795i | 0.437283 | − | 0.601869i | ||||
\(604\) | −2.98040 | + | 28.3566i | −0.121271 | + | 1.15382i | ||||
\(605\) | −14.2769 | + | 20.0232i | −0.580437 | + | 0.814060i | ||||
\(606\) | −0.482698 | − | 4.59256i | −0.0196083 | − | 0.186560i | ||||
\(607\) | 8.35367 | − | 4.82299i | 0.339065 | − | 0.195759i | −0.320793 | − | 0.947149i | \(-0.603950\pi\) |
0.659859 | + | 0.751390i | \(0.270616\pi\) | |||||||
\(608\) | 19.3612 | + | 26.6484i | 0.785199 | + | 1.08073i | ||||
\(609\) | −0.961355 | − | 0.116706i | −0.0389561 | − | 0.00472918i | ||||
\(610\) | 1.79144 | − | 18.6408i | 0.0725332 | − | 0.754743i | ||||
\(611\) | 2.36460 | − | 0.502611i | 0.0956614 | − | 0.0203335i | ||||
\(612\) | −1.11905 | + | 5.26473i | −0.0452350 | + | 0.212814i | ||||
\(613\) | 2.44334 | − | 11.4950i | 0.0986855 | − | 0.464279i | −0.900859 | − | 0.434111i | \(-0.857062\pi\) |
0.999545 | − | 0.0301678i | \(-0.00960417\pi\) | |||||||
\(614\) | −0.580217 | + | 0.123329i | −0.0234156 | + | 0.00497715i | ||||
\(615\) | −19.2885 | + | 4.27988i | −0.777786 | + | 0.172581i | ||||
\(616\) | −0.338568 | − | 0.0411014i | −0.0136413 | − | 0.00165602i | ||||
\(617\) | 2.72558 | + | 3.75143i | 0.109728 | + | 0.151027i | 0.860349 | − | 0.509706i | \(-0.170246\pi\) |
−0.750621 | + | 0.660733i | \(0.770246\pi\) | |||||||
\(618\) | 4.33986 | − | 2.50562i | 0.174575 | − | 0.100791i | ||||
\(619\) | 0.105479 | + | 1.00357i | 0.00423956 | + | 0.0403367i | 0.996437 | − | 0.0843386i | \(-0.0268777\pi\) |
−0.992198 | + | 0.124675i | \(0.960211\pi\) | |||||||
\(620\) | −0.0451789 | − | 5.06998i | −0.00181443 | − | 0.203615i | ||||
\(621\) | 2.71344 | − | 25.8166i | 0.108886 | − | 1.03598i | ||||
\(622\) | 4.10913 | − | 5.65573i | 0.164761 | − | 0.226774i | ||||
\(623\) | −9.88537 | − | 32.1763i | −0.396049 | − | 1.28912i | ||||
\(624\) | −0.240746 | −0.00963754 | ||||||||
\(625\) | −11.7205 | + | 22.0823i | −0.468821 | + | 0.883293i | ||||
\(626\) | −8.63520 | + | 14.9566i | −0.345132 | + | 0.597786i | ||||
\(627\) | −0.251656 | + | 0.226593i | −0.0100502 | + | 0.00904923i | ||||
\(628\) | −29.5771 | − | 3.10868i | −1.18025 | − | 0.124050i | ||||
\(629\) | 24.2018 | + | 17.5837i | 0.964991 | + | 0.701107i | ||||
\(630\) | −5.57126 | + | 3.98699i | −0.221964 | + | 0.158846i | ||||
\(631\) | −3.48332 | + | 2.53078i | −0.138669 | + | 0.100749i | −0.654957 | − | 0.755666i | \(-0.727313\pi\) |
0.516288 | + | 0.856415i | \(0.327313\pi\) | |||||||
\(632\) | −5.40988 | + | 3.12340i | −0.215194 | + | 0.124242i | ||||
\(633\) | −17.9535 | + | 1.88699i | −0.713588 | + | 0.0750012i | ||||
\(634\) | 5.24259 | + | 1.11435i | 0.208210 | + | 0.0442563i | ||||
\(635\) | −2.39965 | − | 2.61779i | −0.0952272 | − | 0.103884i | ||||
\(636\) | −2.46063 | + | 7.57305i | −0.0975704 | + | 0.300291i | ||||
\(637\) | −3.42570 | + | 1.83350i | −0.135731 | + | 0.0726461i | ||||
\(638\) | 0.0106982 | − | 0.00347605i | 0.000423545 | − | 0.000137618i | ||||
\(639\) | 4.83055 | − | 1.02676i | 0.191093 | − | 0.0406182i | ||||
\(640\) | −14.8345 | − | 10.5772i | −0.586386 | − | 0.418102i | ||||
\(641\) | 37.4643 | + | 7.96328i | 1.47975 | + | 0.314531i | 0.875871 | − | 0.482545i | \(-0.160288\pi\) |
0.603879 | + | 0.797076i | \(0.293621\pi\) | |||||||
\(642\) | −4.80740 | + | 10.7976i | −0.189733 | + | 0.426147i | ||||
\(643\) | − | 33.0535i | − | 1.30350i | −0.758433 | − | 0.651751i | \(-0.774035\pi\) | ||
0.758433 | − | 0.651751i | \(-0.225965\pi\) | |||||||
\(644\) | 12.1939 | − | 10.6292i | 0.480505 | − | 0.418851i | ||||
\(645\) | −19.3150 | − | 1.85623i | −0.760526 | − | 0.0730890i | ||||
\(646\) | 1.45394 | − | 13.8333i | 0.0572046 | − | 0.544265i | ||||
\(647\) | 5.69739 | + | 12.7965i | 0.223987 | + | 0.503084i | 0.990226 | − | 0.139472i | \(-0.0445406\pi\) |
−0.766239 | + | 0.642556i | \(0.777874\pi\) | |||||||
\(648\) | −5.85319 | + | 5.27023i | −0.229935 | + | 0.207034i | ||||
\(649\) | 0.240192 | + | 0.416024i | 0.00942835 | + | 0.0163304i | ||||
\(650\) | −1.11583 | + | 2.01476i | −0.0437664 | + | 0.0790253i | ||||
\(651\) | −3.33024 | − | 4.74228i | −0.130523 | − | 0.185865i | ||||
\(652\) | 3.38759 | + | 1.10070i | 0.132668 | + | 0.0431066i | ||||
\(653\) | −6.72401 | − | 0.706722i | −0.263131 | − | 0.0276562i | −0.0279557 | − | 0.999609i | \(-0.508900\pi\) |
−0.235175 | + | 0.971953i | \(0.575566\pi\) | |||||||
\(654\) | −18.1913 | + | 8.09930i | −0.711337 | + | 0.316708i | ||||
\(655\) | 28.3900 | + | 38.3522i | 1.10929 | + | 1.49854i | ||||
\(656\) | 2.18192 | + | 0.971454i | 0.0851897 | + | 0.0379289i | ||||
\(657\) | 2.78287i | 0.108570i | ||||||||
\(658\) | 9.38378 | − | 1.83733i | 0.365818 | − | 0.0716267i | ||||
\(659\) | 10.1498 | + | 31.2379i | 0.395380 | + | 1.21686i | 0.928665 | + | 0.370920i | \(0.120958\pi\) |
−0.533285 | + | 0.845936i | \(0.679042\pi\) | |||||||
\(660\) | 0.0857731 | − | 0.151669i | 0.00333871 | − | 0.00590369i | ||||
\(661\) | 8.40303 | + | 9.33251i | 0.326840 | + | 0.362992i | 0.884061 | − | 0.467372i | \(-0.154799\pi\) |
−0.557221 | + | 0.830364i | \(0.688132\pi\) | |||||||
\(662\) | −5.33413 | + | 25.0951i | −0.207317 | + | 0.975348i | ||||
\(663\) | 1.53683 | + | 1.38377i | 0.0596856 | + | 0.0537412i | ||||
\(664\) | −10.5860 | + | 32.5805i | −0.410818 | + | 1.26437i | ||||
\(665\) | −25.2164 | + | 22.3794i | −0.977849 | + | 0.867834i | ||||
\(666\) | −3.63965 | − | 11.2017i | −0.141033 | − | 0.434056i | ||||
\(667\) | −0.547969 | + | 1.23076i | −0.0212175 | + | 0.0476552i | ||||
\(668\) | 8.49466 | + | 4.90439i | 0.328668 | + | 0.189757i | ||||
\(669\) | −0.673967 | − | 6.41237i | −0.0260571 | − | 0.247917i | ||||
\(670\) | 4.83866 | − | 23.8052i | 0.186934 | − | 0.919676i | ||||
\(671\) | −0.383009 | − | 0.278272i | −0.0147859 | − | 0.0107426i | ||||
\(672\) | −19.3683 | − | 0.311603i | −0.747148 | − | 0.0120204i | ||||
\(673\) | −0.934461 | − | 0.303625i | −0.0360208 | − | 0.0117039i | 0.290951 | − | 0.956738i | \(-0.406028\pi\) |
−0.326972 | + | 0.945034i | \(0.606028\pi\) | |||||||
\(674\) | −5.17131 | − | 8.95697i | −0.199191 | − | 0.345010i | ||||
\(675\) | −6.27234 | − | 27.1229i | −0.241423 | − | 1.04396i | ||||
\(676\) | −8.32184 | + | 14.4139i | −0.320071 | + | 0.554379i | ||||
\(677\) | −4.70948 | − | 22.1564i | −0.181000 | − | 0.851538i | −0.971121 | − | 0.238587i | \(-0.923316\pi\) |
0.790121 | − | 0.612951i | \(-0.210018\pi\) | |||||||
\(678\) | −4.37278 | + | 6.01862i | −0.167936 | + | 0.231144i | ||||
\(679\) | −7.57863 | − | 4.53962i | −0.290841 | − | 0.174215i | ||||
\(680\) | 3.91483 | + | 17.6433i | 0.150127 | + | 0.676589i | ||||
\(681\) | 2.22400 | + | 0.990189i | 0.0852239 | + | 0.0379441i | ||||
\(682\) | 0.0582925 | + | 0.0336552i | 0.00223213 | + | 0.00128872i | ||||
\(683\) | −9.46787 | + | 0.995113i | −0.362278 | + | 0.0380769i | −0.283919 | − | 0.958848i | \(-0.591635\pi\) |
−0.0783589 | + | 0.996925i | \(0.524968\pi\) | |||||||
\(684\) | 6.97819 | − | 7.75006i | 0.266818 | − | 0.296331i | ||||
\(685\) | −3.87063 | + | 4.37657i | −0.147889 | + | 0.167220i | ||||
\(686\) | −13.6651 | + | 7.03340i | −0.521734 | + | 0.268536i | ||||
\(687\) | 3.99873 | − | 1.29927i | 0.152561 | − | 0.0495701i | ||||
\(688\) | 1.74317 | + | 1.56955i | 0.0664576 | + | 0.0598386i | ||||
\(689\) | −1.78044 | − | 1.97738i | −0.0678294 | − | 0.0753322i | ||||
\(690\) | −3.47917 | − | 10.3918i | −0.132450 | − | 0.395608i | ||||
\(691\) | 1.36809 | − | 1.51942i | 0.0520448 | − | 0.0578016i | −0.716560 | − | 0.697525i | \(-0.754285\pi\) |
0.768605 | + | 0.639724i | \(0.220951\pi\) | |||||||
\(692\) | 4.45536 | + | 6.13227i | 0.169367 | + | 0.233114i | ||||
\(693\) | 0.0153308 | + | 0.172517i | 0.000582370 | + | 0.00655338i | ||||
\(694\) | −13.6750 | + | 9.93546i | −0.519095 | + | 0.377145i | ||||
\(695\) | 17.2494 | − | 15.8120i | 0.654308 | − | 0.599784i | ||||
\(696\) | 0.918848 | − | 0.409098i | 0.0348289 | − | 0.0155068i | ||||
\(697\) | −8.34482 | − | 18.7428i | −0.316082 | − | 0.709933i | ||||
\(698\) | −1.15019 | − | 5.41123i | −0.0435354 | − | 0.204818i | ||||
\(699\) | −5.02920 | −0.190222 | ||||||||
\(700\) | 8.64778 | − | 15.0386i | 0.326855 | − | 0.568405i | ||||
\(701\) | −39.4485 | −1.48995 | −0.744974 | − | 0.667094i | \(-0.767538\pi\) | ||||
−0.744974 | + | 0.667094i | \(0.767538\pi\) | |||||||
\(702\) | −0.533216 | − | 2.50858i | −0.0201249 | − | 0.0946804i | ||||
\(703\) | −23.5757 | − | 52.9519i | −0.889174 | − | 1.99712i | ||||
\(704\) | 0.176204 | − | 0.0784513i | 0.00664095 | − | 0.00295674i | ||||
\(705\) | −2.45711 | + | 12.0885i | −0.0925400 | + | 0.455278i | ||||
\(706\) | −10.9485 | + | 7.95452i | −0.412050 | + | 0.299372i | ||||
\(707\) | −10.5408 | − | 4.89772i | −0.396426 | − | 0.184198i | ||||
\(708\) | 9.99845 | + | 13.7617i | 0.375765 | + | 0.517196i | ||||
\(709\) | 19.3275 | − | 21.4653i | 0.725858 | − | 0.806147i | −0.261407 | − | 0.965229i | \(-0.584186\pi\) |
0.987266 | + | 0.159081i | \(0.0508532\pi\) | |||||||
\(710\) | 5.27803 | − | 3.90704i | 0.198081 | − | 0.146629i | ||||
\(711\) | 2.12269 | + | 2.35748i | 0.0796069 | + | 0.0884125i | ||||
\(712\) | 25.9805 | + | 23.3930i | 0.973661 | + | 0.876688i | ||||
\(713\) | −7.66703 | + | 2.49117i | −0.287133 | + | 0.0932950i | ||||
\(714\) | 5.99000 | + | 5.57049i | 0.224170 | + | 0.208470i | ||||
\(715\) | 0.0295604 | + | 0.0501626i | 0.00110550 | + | 0.00187597i | ||||
\(716\) | −10.1828 | + | 11.3091i | −0.380548 | + | 0.422642i | ||||
\(717\) | −12.9526 | + | 1.36137i | −0.483723 | + | 0.0508414i | ||||
\(718\) | 18.1729 | + | 10.4921i | 0.678206 | + | 0.391562i | ||||
\(719\) | −26.8189 | − | 11.9406i | −1.00018 | − | 0.445307i | −0.159706 | − | 0.987165i | \(-0.551055\pi\) |
−0.840471 | + | 0.541857i | \(0.817721\pi\) | |||||||
\(720\) | −0.425848 | + | 0.979877i | −0.0158704 | + | 0.0365178i | ||||
\(721\) | 0.202899 | − | 12.6115i | 0.00755634 | − | 0.469678i | ||||
\(722\) | −6.57373 | + | 9.04796i | −0.244649 | + | 0.336730i | ||||
\(723\) | −1.93331 | − | 9.09549i | −0.0719004 | − | 0.338265i | ||||
\(724\) | −12.7878 | + | 22.1491i | −0.475253 | + | 0.823163i | ||||
\(725\) | −0.125392 | + | 1.43935i | −0.00465696 | + | 0.0534560i | ||||
\(726\) | −5.78023 | − | 10.0117i | −0.214524 | − | 0.371567i | ||||
\(727\) | −24.9228 | − | 8.09792i | −0.924337 | − | 0.300335i | −0.192092 | − | 0.981377i | \(-0.561527\pi\) |
−0.732245 | + | 0.681042i | \(0.761527\pi\) | |||||||
\(728\) | 2.07372 | − | 3.46196i | 0.0768574 | − | 0.128309i | ||||
\(729\) | 20.3531 | + | 14.7874i | 0.753818 | + | 0.547681i | ||||
\(730\) | 1.53517 | + | 3.36698i | 0.0568191 | + | 0.124617i | ||||
\(731\) | −2.10617 | − | 20.0389i | −0.0778997 | − | 0.741166i | ||||
\(732\) | −14.5180 | − | 8.38200i | −0.536602 | − | 0.309807i | ||||
\(733\) | 19.5215 | − | 43.8460i | 0.721044 | − | 1.61949i | −0.0624177 | − | 0.998050i | \(-0.519881\pi\) |
0.783461 | − | 0.621441i | \(-0.213452\pi\) | |||||||
\(734\) | −5.44881 | − | 16.7697i | −0.201119 | − | 0.618981i | ||||
\(735\) | −1.61326 | − | 19.7613i | −0.0595059 | − | 0.728906i | ||||
\(736\) | −8.32745 | + | 25.6293i | −0.306954 | + | 0.944707i | ||||
\(737\) | −0.456382 | − | 0.410928i | −0.0168110 | − | 0.0151367i | ||||
\(738\) | −1.67946 | + | 7.90122i | −0.0618216 | + | 0.290848i | ||||
\(739\) | −8.79619 | − | 9.76916i | −0.323573 | − | 0.359364i | 0.559309 | − | 0.828959i | \(-0.311067\pi\) |
−0.882882 | + | 0.469595i | \(0.844400\pi\) | |||||||
\(740\) | 20.1530 | + | 21.9851i | 0.740841 | + | 0.808187i | ||||
\(741\) | −1.23821 | − | 3.81083i | −0.0454869 | − | 0.139994i | ||||
\(742\) | −6.91569 | − | 7.93368i | −0.253883 | − | 0.291254i | ||||
\(743\) | − | 21.5954i | − | 0.792257i | −0.918195 | − | 0.396129i | \(-0.870353\pi\) | ||
0.918195 | − | 0.396129i | \(-0.129647\pi\) | |||||||
\(744\) | 5.49821 | + | 2.44796i | 0.201574 | + | 0.0897467i | ||||
\(745\) | 0.440850 | + | 49.4722i | 0.0161515 | + | 1.81252i | ||||
\(746\) | −21.7809 | + | 9.69748i | −0.797455 | + | 0.355050i | ||||
\(747\) | 17.3015 | + | 1.81846i | 0.633028 | + | 0.0665339i | ||||
\(748\) | 0.172080 | + | 0.0559121i | 0.00629185 | + | 0.00204435i | ||||
\(749\) | 17.0968 | + | 24.3458i | 0.624702 | + | 0.889578i | ||||
\(750\) | −7.15952 | − | 9.31980i | −0.261429 | − | 0.340311i | ||||
\(751\) | −8.03546 | − | 13.9178i | −0.293218 | − | 0.507868i | 0.681351 | − | 0.731957i | \(-0.261393\pi\) |
−0.974569 | + | 0.224089i | \(0.928059\pi\) | |||||||
\(752\) | 1.10818 | − | 0.997810i | 0.0404112 | − | 0.0363864i | ||||
\(753\) | 8.98727 | + | 20.1857i | 0.327514 | + | 0.735610i | ||||
\(754\) | −0.0139129 | + | 0.132372i | −0.000506677 | + | 0.00482071i | ||||
\(755\) | 41.8867 | − | 24.6835i | 1.52441 | − | 0.898325i | ||||
\(756\) | 3.71186 | + | 18.9575i | 0.134999 | + | 0.689479i | ||||
\(757\) | 40.6484i | 1.47739i | 0.674039 | + | 0.738696i | \(0.264558\pi\) | ||||
−0.674039 | + | 0.738696i | \(0.735442\pi\) | |||||||
\(758\) | 5.41475 | − | 12.1617i | 0.196672 | − | 0.441733i | ||||
\(759\) | −0.270991 | − | 0.0576010i | −0.00983637 | − | 0.00209078i | ||||
\(760\) | 10.5236 | − | 33.3980i | 0.381731 | − | 1.21147i | ||||
\(761\) | −7.43875 | + | 1.58116i | −0.269654 | + | 0.0573168i | −0.340754 | − | 0.940152i | \(-0.610682\pi\) |
0.0710999 | + | 0.997469i | \(0.477349\pi\) | |||||||
\(762\) | 1.58770 | − | 0.515874i | 0.0575162 | − | 0.0186882i | ||||
\(763\) | −6.04016 | + | 49.7551i | −0.218668 | + | 1.80125i | ||||
\(764\) | −2.97903 | + | 9.16850i | −0.107777 | + | 0.331705i | ||||
\(765\) | 8.35064 | − | 3.80746i | 0.301918 | − | 0.137659i | ||||
\(766\) | −8.78447 | − | 1.86720i | −0.317396 | − | 0.0674645i | ||||
\(767\) | −5.65302 | + | 0.594157i | −0.204119 | + | 0.0214538i | ||||
\(768\) | 16.4382 | − | 9.49060i | 0.593162 | − | 0.342462i | ||||
\(769\) | 15.4193 | − | 11.2027i | 0.556033 | − | 0.403981i | −0.273972 | − | 0.961738i | \(-0.588338\pi\) |
0.830005 | + | 0.557756i | \(0.188338\pi\) | |||||||
\(770\) | 0.113718 | + | 0.200270i | 0.00409810 | + | 0.00721723i | ||||
\(771\) | 16.0626 | + | 11.6701i | 0.578479 | + | 0.420290i | ||||
\(772\) | 21.6441 | + | 2.27488i | 0.778987 | + | 0.0818748i | ||||
\(773\) | −28.2135 | + | 25.4035i | −1.01477 | + | 0.913702i | −0.996284 | − | 0.0861273i | \(-0.972551\pi\) |
−0.0184846 | + | 0.999829i | \(0.505884\pi\) | |||||||
\(774\) | −3.96658 | + | 6.87031i | −0.142576 | + | 0.246948i | ||||
\(775\) | −6.90261 | + | 5.20548i | −0.247949 | + | 0.186986i | ||||
\(776\) | 9.17533 | 0.329375 | ||||||||
\(777\) | 33.2235 | + | 7.62246i | 1.19189 | + | 0.273454i | ||||
\(778\) | 5.48198 | − | 7.54530i | 0.196539 | − | 0.270512i | ||||
\(779\) | −4.15526 | + | 39.5347i | −0.148878 | + | 1.41648i | ||||
\(780\) | 1.22667 | + | 1.65711i | 0.0439219 | + | 0.0593341i | ||||
\(781\) | −0.0173531 | − | 0.165104i | −0.000620944 | − | 0.00590789i | ||||
\(782\) | 9.85508 | − | 5.68983i | 0.352417 | − | 0.203468i | ||||
\(783\) | −0.945661 | − | 1.30159i | −0.0337952 | − | 0.0465151i | ||||
\(784\) | −1.26455 | + | 2.03607i | −0.0451626 | + | 0.0727167i | ||||
\(785\) | 25.7459 | + | 43.6894i | 0.918910 | + | 1.55934i | ||||
\(786\) | −21.9411 | + | 4.66373i | −0.782614 | + | 0.166350i | ||||
\(787\) | −0.466772 | + | 2.19599i | −0.0166386 | + | 0.0782786i | −0.985684 | − | 0.168606i | \(-0.946073\pi\) |
0.969045 | + | 0.246884i | \(0.0794068\pi\) | |||||||
\(788\) | 5.89093 | − | 27.7146i | 0.209856 | − | 0.987293i | ||||
\(789\) | −39.7083 | + | 8.44025i | −1.41365 | + | 0.300481i | ||||
\(790\) | 3.86872 | + | 1.68132i | 0.137643 | + | 0.0598188i | ||||
\(791\) | 7.33993 | + | 17.2263i | 0.260978 | + | 0.612498i | ||||
\(792\) | −0.105733 | − | 0.145529i | −0.00375707 | − | 0.00517116i | ||||
\(793\) | 4.85133 | − | 2.80092i | 0.172276 | − | 0.0994634i | ||||
\(794\) | −2.81955 | − | 26.8263i | −0.100062 | − | 0.952028i | ||||
\(795\) | 12.8753 | − | 4.31064i | 0.456639 | − | 0.152883i | ||||
\(796\) | 1.52571 | − | 14.5161i | 0.0540773 | − | 0.514511i | ||||
\(797\) | 3.71695 | − | 5.11594i | 0.131661 | − | 0.181216i | −0.738097 | − | 0.674695i | \(-0.764275\pi\) |
0.869758 | + | 0.493479i | \(0.164275\pi\) | |||||||
\(798\) | −4.65456 | − | 15.1503i | −0.164770 | − | 0.536316i | ||||
\(799\) | −12.8095 | −0.453167 | ||||||||
\(800\) | 0.515014 | + | 28.8952i | 0.0182085 | + | 1.02160i | ||||
\(801\) | 8.87691 | − | 15.3753i | 0.313650 | − | 0.543258i | ||||
\(802\) | 2.38921 | − | 2.15126i | 0.0843660 | − | 0.0759635i | ||||
\(803\) | 0.0930378 | + | 0.00977866i | 0.00328323 | + | 0.000345082i | ||||
\(804\) | −17.5929 | − | 12.7820i | −0.620455 | − | 0.450787i | ||||
\(805\) | −26.9383 | − | 5.92827i | −0.949450 | − | 0.208944i | ||||
\(806\) | −0.644344 | + | 0.468144i | −0.0226961 | + | 0.0164897i | ||||
\(807\) | 28.2856 | − | 16.3307i | 0.995702 | − | 0.574869i | ||||
\(808\) | 12.0057 | − | 1.26185i | 0.422359 | − | 0.0443917i | ||||
\(809\) | 48.3488 | + | 10.2768i | 1.69985 | + | 0.361315i | 0.952835 | − | 0.303489i | \(-0.0981517\pi\) |
0.747018 | + | 0.664804i | \(0.231485\pi\) | |||||||
\(810\) | 5.21202 | + | 1.05940i | 0.183132 | + | 0.0372234i | ||||
\(811\) | 10.6874 | − | 32.8925i | 0.375286 | − | 1.15501i | −0.568000 | − | 0.823028i | \(-0.692283\pi\) |
0.943286 | − | 0.331982i | \(-0.107717\pi\) | |||||||
\(812\) | 0.120821 | − | 0.995251i | 0.00424000 | − | 0.0349265i | ||||
\(813\) | 19.2762 | − | 6.26321i | 0.676045 | − | 0.219660i | ||||
\(814\) | −0.387287 | + | 0.0823204i | −0.0135744 | + | 0.00288533i | ||||
\(815\) | −1.92825 | − | 5.75939i | −0.0675435 | − | 0.201743i | ||||
\(816\) | 1.24779 | + | 0.265226i | 0.0436814 | + | 0.00928476i | ||||
\(817\) | −15.8794 | + | 35.6656i | −0.555549 | + | 1.24778i | ||||
\(818\) | − | 12.1783i | − | 0.425805i | ||||||
\(819\) | −1.93862 | − | 0.664559i | −0.0677409 | − | 0.0232216i | ||||
\(820\) | −4.43078 | − | 19.9686i | −0.154730 | − | 0.697332i | ||||
\(821\) | −4.11663 | + | 39.1671i | −0.143671 | + | 1.36694i | 0.650620 | + | 0.759403i | \(0.274509\pi\) |
−0.794291 | + | 0.607537i | \(0.792158\pi\) | |||||||
\(822\) | −1.11713 | − | 2.50912i | −0.0389645 | − | 0.0875157i | ||||
\(823\) | −41.6310 | + | 37.4847i | −1.45116 | + | 1.30663i | −0.580971 | + | 0.813924i | \(0.697327\pi\) |
−0.870193 | + | 0.492710i | \(0.836006\pi\) | |||||||
\(824\) | 6.55009 | + | 11.3451i | 0.228183 | + | 0.395225i | ||||
\(825\) | −0.294881 | + | 0.0363171i | −0.0102664 | + | 0.00126440i | ||||
\(826\) | −22.3951 | + | 1.99015i | −0.779224 | + | 0.0692463i | ||||
\(827\) | 39.7886 | + | 12.9281i | 1.38358 | + | 0.449554i | 0.903846 | − | 0.427858i | \(-0.140732\pi\) |
0.479738 | + | 0.877412i | \(0.340732\pi\) | |||||||
\(828\) | 8.48521 | + | 0.891832i | 0.294881 | + | 0.0309933i | ||||
\(829\) | 29.9418 | − | 13.3310i | 1.03992 | − | 0.463004i | 0.185534 | − | 0.982638i | \(-0.440598\pi\) |
0.854389 | + | 0.519634i | \(0.173932\pi\) | |||||||
\(830\) | 21.9361 | − | 7.34420i | 0.761413 | − | 0.254921i | ||||
\(831\) | −2.77567 | − | 1.23581i | −0.0962868 | − | 0.0428696i | ||||
\(832\) | 2.28226i | 0.0791231i | ||||||||
\(833\) | 19.7754 | − | 5.72905i | 0.685179 | − | 0.198500i | ||||
\(834\) | 3.39925 | + | 10.4618i | 0.117707 | + | 0.362264i | ||||
\(835\) | −1.89643 | − | 16.6176i | −0.0656288 | − | 0.575075i | ||||
\(836\) | −0.234582 | − | 0.260529i | −0.00811318 | − | 0.00901060i | ||||
\(837\) | 2.00158 | − | 9.41671i | 0.0691848 | − | 0.325489i | ||||
\(838\) | 15.3471 | + | 13.8186i | 0.530157 | + | 0.477356i | ||||
\(839\) | −13.5205 | + | 41.6119i | −0.466780 | + | 1.43660i | 0.389950 | + | 0.920836i | \(0.372492\pi\) |
−0.856730 | + | 0.515765i | \(0.827508\pi\) | |||||||
\(840\) | 11.9841 | + | 16.7462i | 0.413492 | + | 0.577797i | ||||
\(841\) | −8.93569 | − | 27.5012i | −0.308127 | − | 0.948318i | ||||
\(842\) | −7.75485 | + | 17.4177i | −0.267250 | + | 0.600253i | ||||
\(843\) | −0.430792 | − | 0.248718i | −0.0148372 | − | 0.00856629i | ||||
\(844\) | −1.95352 | − | 18.5865i | −0.0672431 | − | 0.639775i | ||||
\(845\) | 28.1969 | − | 3.21789i | 0.970003 | − | 0.110699i | ||||
\(846\) | 4.08014 | + | 2.96440i | 0.140278 | + | 0.101918i | ||||
\(847\) | −29.0937 | − | 0.468068i | −0.999671 | − | 0.0160830i | ||||
\(848\) | −1.56102 | − | 0.507205i | −0.0536055 | − | 0.0174175i | ||||
\(849\) | −5.24092 | − | 9.07755i | −0.179868 | − | 0.311541i | ||||
\(850\) | 8.00300 | − | 9.21324i | 0.274500 | − | 0.316012i | ||||
\(851\) | 23.7103 | − | 41.0675i | 0.812780 | − | 1.40778i | ||||
\(852\) | −1.22222 | − | 5.75008i | −0.0418725 | − | 0.196994i | ||||
\(853\) | 33.0250 | − | 45.4551i | 1.13076 | − | 1.55635i | 0.344129 | − | 0.938922i | \(-0.388174\pi\) |
0.786627 | − | 0.617429i | \(-0.211826\pi\) | |||||||
\(854\) | 19.3648 | − | 10.7687i | 0.662651 | − | 0.368498i | ||||
\(855\) | −17.7010 | − | 1.70112i | −0.605361 | − | 0.0581771i | ||||
\(856\) | −28.2267 | − | 12.5673i | −0.964767 | − | 0.429542i | ||||
\(857\) | 24.5014 | + | 14.1459i | 0.836950 | + | 0.483213i | 0.856226 | − | 0.516601i | \(-0.172803\pi\) |
−0.0192761 | + | 0.999814i | \(0.506136\pi\) | |||||||
\(858\) | −0.0272211 | + | 0.00286105i | −0.000929312 | + | 9.76746e-5i | ||||
\(859\) | 3.35879 | − | 3.73032i | 0.114601 | − | 0.127277i | −0.683115 | − | 0.730311i | \(-0.739375\pi\) |
0.797715 | + | 0.603034i | \(0.206042\pi\) | |||||||
\(860\) | 1.92168 | − | 19.9960i | 0.0655286 | − | 0.681857i | ||||
\(861\) | −17.1190 | − | 15.9200i | −0.583414 | − | 0.542554i | ||||
\(862\) | 18.1735 | − | 5.90492i | 0.618991 | − | 0.201122i | ||||
\(863\) | −34.0458 | − | 30.6550i | −1.15893 | − | 1.04351i | −0.998404 | − | 0.0564773i | \(-0.982013\pi\) |
−0.160530 | − | 0.987031i | \(-0.551320\pi\) | |||||||
\(864\) | −21.5335 | − | 23.9154i | −0.732584 | − | 0.813617i | ||||
\(865\) | 3.88431 | − | 12.3274i | 0.132071 | − | 0.419143i | ||||
\(866\) | −4.83174 | + | 5.36619i | −0.164189 | + | 0.182351i | ||||
\(867\) | 6.21637 | + | 8.55610i | 0.211119 | + | 0.290580i | ||||
\(868\) | 4.90948 | − | 3.44766i | 0.166639 | − | 0.117021i | ||||
\(869\) | 0.0862749 | − | 0.0626824i | 0.00292667 | − | 0.00212635i | ||||
\(870\) | −0.591199 | − | 0.334341i | −0.0200435 | − | 0.0113352i | ||||
\(871\) | 6.63840 | − | 2.95561i | 0.224934 | − | 0.100147i | ||||
\(872\) | −21.1729 | − | 47.5551i | −0.717005 | − | 1.61042i | ||||
\(873\) | −0.968765 | − | 4.55768i | −0.0327877 | − | 0.154254i | ||||
\(874\) | −22.0490 | −0.745820 | ||||||||
\(875\) | −29.3838 | + | 3.40499i | −0.993353 | + | 0.115110i | ||||
\(876\) | 3.31261 | 0.111923 | ||||||||
\(877\) | 1.61718 | + | 7.60823i | 0.0546083 | + | 0.256912i | 0.996980 | − | 0.0776551i | \(-0.0247433\pi\) |
−0.942372 | + | 0.334567i | \(0.891410\pi\) | |||||||
\(878\) | 13.1518 | + | 29.5394i | 0.443851 | + | 0.996905i | ||||
\(879\) | −25.5334 | + | 11.3682i | −0.861221 | + | 0.383440i | ||||
\(880\) | 0.0312631 | + | 0.0176802i | 0.00105388 | + | 0.000596000i | ||||
\(881\) | −18.1213 | + | 13.1659i | −0.610522 | + | 0.443570i | −0.849598 | − | 0.527430i | \(-0.823156\pi\) |
0.239076 | + | 0.971001i | \(0.423156\pi\) | |||||||
\(882\) | −7.62481 | − | 2.75163i | −0.256741 | − | 0.0926522i | ||||
\(883\) | −10.5925 | − | 14.5794i | −0.356467 | − | 0.490635i | 0.592693 | − | 0.805429i | \(-0.298065\pi\) |
−0.949160 | + | 0.314793i | \(0.898065\pi\) | |||||||
\(884\) | −1.43256 | + | 1.59102i | −0.0481822 | + | 0.0535117i | ||||
\(885\) | 8.71693 | − | 27.6644i | 0.293017 | − | 0.929927i | ||||
\(886\) | −16.8979 | − | 18.7670i | −0.567695 | − | 0.630489i | ||||
\(887\) | 1.85364 | + | 1.66902i | 0.0622391 | + | 0.0560404i | 0.699663 | − | 0.714473i | \(-0.253333\pi\) |
−0.637424 | + | 0.770513i | \(0.720000\pi\) | |||||||
\(888\) | −33.6701 | + | 10.9401i | −1.12990 | + | 0.367125i | ||||
\(889\) | 0.939617 | − | 4.09545i | 0.0315138 | − | 0.137357i | ||||
\(890\) | 2.25836 | − | 23.4994i | 0.0757005 | − | 0.787700i | ||||
\(891\) | 0.0899703 | − | 0.0999222i | 0.00301412 | − | 0.00334752i | ||||
\(892\) | 6.63846 | − | 0.697730i | 0.222272 | − | 0.0233617i | ||||
\(893\) | 21.4943 | + | 12.4097i | 0.719278 | + | 0.415275i | ||||
\(894\) | −21.2468 | − | 9.45968i | −0.710599 | − | 0.316379i | ||||
\(895\) | 25.8298 | + | 2.48233i | 0.863395 | + | 0.0829750i | ||||
\(896\) | 0.346776 | − | 21.5545i | 0.0115850 | − | 0.720085i | ||||
\(897\) | 1.92685 | − | 2.65209i | 0.0643357 | − | 0.0885505i | ||||
\(898\) | 2.58198 | + | 12.1473i | 0.0861619 | + | 0.405360i | ||||
\(899\) | −0.249817 | + | 0.432696i | −0.00833188 | + | 0.0144312i | ||||
\(900\) | 8.91456 | − | 2.06155i | 0.297152 | − | 0.0687182i | ||||
\(901\) | 7.04962 | + | 12.2103i | 0.234857 | + | 0.406784i | ||||
\(902\) | 0.258254 | + | 0.0839119i | 0.00859893 | + | 0.00279396i | ||||
\(903\) | −11.1582 | − | 20.0652i | −0.371322 | − | 0.667729i | ||||
\(904\) | −15.7336 | − | 11.4312i | −0.523293 | − | 0.380195i | ||||
\(905\) | 43.3288 | − | 4.94478i | 1.44030 | − | 0.164370i | ||||
\(906\) | 2.38903 | + | 22.7301i | 0.0793702 | + | 0.755157i | ||||
\(907\) | 41.5192 | + | 23.9711i | 1.37862 | + | 0.795948i | 0.991994 | − | 0.126287i | \(-0.0403060\pi\) |
0.386629 | + | 0.922235i | \(0.373639\pi\) | |||||||
\(908\) | −1.02510 | + | 2.30242i | −0.0340192 | + | 0.0764084i | ||||
\(909\) | −1.89441 | − | 5.83039i | −0.0628335 | − | 0.193382i | ||||
\(910\) | −2.71212 | + | 0.265393i | −0.0899061 | + | 0.00879769i | ||||
\(911\) | 9.83092 | − | 30.2565i | 0.325713 | − | 1.00244i | −0.645405 | − | 0.763841i | \(-0.723311\pi\) |
0.971118 | − | 0.238600i | \(-0.0766886\pi\) | |||||||
\(912\) | −1.83684 | − | 1.65390i | −0.0608238 | − | 0.0547660i | ||||
\(913\) | 0.121590 | − | 0.572038i | 0.00402406 | − | 0.0189317i | ||||
\(914\) | −9.59914 | − | 10.6609i | −0.317511 | − | 0.352632i | ||||
\(915\) | 3.24115 | + | 28.4007i | 0.107149 | + | 0.938899i | ||||
\(916\) | 1.34508 | + | 4.13972i | 0.0444425 | + | 0.136780i | ||||
\(917\) | −18.3083 | + | 53.4082i | −0.604595 | + | 1.76370i | ||||
\(918\) | 13.5895i | 0.448520i | ||||||||
\(919\) | −37.9748 | − | 16.9075i | −1.25267 | − | 0.557726i | −0.330244 | − | 0.943895i | \(-0.607131\pi\) |
−0.922428 | + | 0.386170i | \(0.873798\pi\) | |||||||
\(920\) | 27.1658 | − | 9.09511i | 0.895630 | − | 0.299857i | ||||
\(921\) | 0.827171 | − | 0.368280i | 0.0272562 | − | 0.0121352i | ||||
\(922\) | 21.6185 | + | 2.27220i | 0.711967 | + | 0.0748308i | ||||
\(923\) | 1.86822 | + | 0.607022i | 0.0614933 | + | 0.0199804i | ||||
\(924\) | 0.205357 | − | 0.0182492i | 0.00675575 | − | 0.000600354i | ||||
\(925\) | 9.68517 | − | 49.9240i | 0.318446 | − | 1.64149i | ||||
\(926\) | 1.91592 | + | 3.31847i | 0.0629610 | + | 0.109052i | ||||
\(927\) | 4.94389 | − | 4.45150i | 0.162379 | − | 0.146206i | ||||
\(928\) | 0.679321 | + | 1.52578i | 0.0222998 | + | 0.0500862i | ||||
\(929\) | −2.18739 | + | 20.8116i | −0.0717659 | + | 0.682807i | 0.898203 | + | 0.439580i | \(0.144873\pi\) |
−0.969969 | + | 0.243227i | \(0.921794\pi\) | |||||||
\(930\) | −0.880374 | − | 3.96765i | −0.0288686 | − | 0.130104i | ||||
\(931\) | −38.7334 | − | 9.54496i | −1.26943 | − | 0.312824i | ||||
\(932\) | − | 5.20653i | − | 0.170545i | ||||||
\(933\) | −4.34034 | + | 9.74857i | −0.142096 | + | 0.319154i | ||||
\(934\) | 33.4095 | + | 7.10140i | 1.09319 | + | 0.232365i | ||||
\(935\) | −0.0979491 | − | 0.292560i | −0.00320328 | − | 0.00956773i | ||||
\(936\) | 2.08198 | − | 0.442538i | 0.0680516 | − | 0.0144648i | ||||
\(937\) | −7.00191 | + | 2.27506i | −0.228743 | + | 0.0743230i | −0.421146 | − | 0.906993i | \(-0.638372\pi\) |
0.192403 | + | 0.981316i | \(0.438372\pi\) | |||||||
\(938\) | 26.4424 | − | 11.2668i | 0.863375 | − | 0.367874i | ||||
\(939\) | 8.14636 | − | 25.0719i | 0.265847 | − | 0.818191i | ||||
\(940\) | −12.5147 | − | 2.54374i | −0.408184 | − | 0.0829677i | ||||
\(941\) | 27.3470 | + | 5.81278i | 0.891486 | + | 0.189491i | 0.630812 | − | 0.775936i | \(-0.282722\pi\) |
0.260674 | + | 0.965427i | \(0.416055\pi\) | |||||||
\(942\) | −23.7084 | + | 2.49185i | −0.772461 | + | 0.0811889i | ||||
\(943\) | −28.1651 | + | 16.2611i | −0.917181 | + | 0.529535i | ||||
\(944\) | −2.83667 | + | 2.06096i | −0.0923256 | + | 0.0670785i | ||||
\(945\) | 22.2157 | − | 24.3198i | 0.722678 | − | 0.791124i | ||||
\(946\) | 0.215752 | + | 0.156753i | 0.00701471 | + | 0.00509648i | ||||
\(947\) | 1.65976 | + | 0.174448i | 0.0539349 | + | 0.00566878i | 0.131457 | − | 0.991322i | \(-0.458034\pi\) |
−0.0775226 | + | 0.996991i | \(0.524701\pi\) | |||||||
\(948\) | 2.80625 | − | 2.52676i | 0.0911427 | − | 0.0820652i | ||||
\(949\) | −0.553469 | + | 0.958637i | −0.0179664 | + | 0.0311187i | ||||
\(950\) | −22.3547 | + | 7.70656i | −0.725283 | + | 0.250034i | ||||
\(951\) | −8.18126 | −0.265296 | ||||||||
\(952\) | −14.5622 | + | 15.6588i | −0.471962 | + | 0.507506i | ||||
\(953\) | −28.0157 | + | 38.5603i | −0.907517 | + | 1.24909i | 0.0604910 | + | 0.998169i | \(0.480733\pi\) |
−0.968008 | + | 0.250921i | \(0.919267\pi\) | |||||||
\(954\) | 0.580252 | − | 5.52072i | 0.0187863 | − | 0.178740i | ||||
\(955\) | 15.5878 | − | 5.21879i | 0.504408 | − | 0.168876i | ||||
\(956\) | −1.40937 | − | 13.4093i | −0.0455823 | − | 0.433687i | ||||
\(957\) | −0.0148701 | + | 0.00858525i | −0.000480682 | + | 0.000277522i | ||||
\(958\) | 5.80288 | + | 7.98697i | 0.187482 | + | 0.258047i | ||||
\(959\) | −6.86269 | − | 0.833116i | −0.221608 | − | 0.0269027i | ||||
\(960\) | −10.6809 | − | 4.64184i | −0.344724 | − | 0.149815i | ||||
\(961\) | 27.3982 | − | 5.82366i | 0.883813 | − | 0.187860i | ||||
\(962\) | 0.974061 | − | 4.58260i | 0.0314050 | − | 0.147749i | ||||
\(963\) | −3.26232 | + | 15.3480i | −0.105127 | + | 0.494582i | ||||
\(964\) | 9.41618 | − | 2.00147i | 0.303275 | − | 0.0644631i | ||||
\(965\) | −18.8404 | − | 31.9712i | −0.606495 | − | 1.02919i | ||||
\(966\) | 7.78930 | − | 10.3662i | 0.250617 | − | 0.333527i | ||||
\(967\) | 15.0074 | + | 20.6559i | 0.482604 | + | 0.664248i | 0.979003 | − | 0.203847i | \(-0.0653445\pi\) |
−0.496399 | + | 0.868095i | \(0.665345\pi\) | |||||||
\(968\) | 26.1721 | − | 15.1105i | 0.841203 | − | 0.485669i | ||||
\(969\) | 2.21935 | + | 21.1157i | 0.0712959 | + | 0.678335i | ||||
\(970\) | −3.68634 | − | 4.97989i | −0.118361 | − | 0.159895i | ||||
\(971\) | −0.323850 | + | 3.08123i | −0.0103928 | + | 0.0988814i | −0.998489 | − | 0.0549585i | \(-0.982497\pi\) |
0.988096 | + | 0.153840i | \(0.0491640\pi\) | |||||||
\(972\) | −10.0763 | + | 13.8688i | −0.323198 | + | 0.444843i | ||||
\(973\) | 26.9862 | + | 6.19143i | 0.865137 | + | 0.198488i | ||||
\(974\) | 5.25244 | 0.168299 | ||||||||
\(975\) | 1.02661 | − | 3.36232i | 0.0328779 | − | 0.107681i | ||||
\(976\) | 1.72776 | − | 2.99257i | 0.0553044 | − | 0.0957900i | ||||
\(977\) | 2.12864 | − | 1.91664i | 0.0681013 | − | 0.0613187i | −0.634377 | − | 0.773024i | \(-0.718743\pi\) |
0.702479 | + | 0.711705i | \(0.252077\pi\) | |||||||
\(978\) | 2.83952 | + | 0.298446i | 0.0907980 | + | 0.00954325i | ||||
\(979\) | −0.482838 | − | 0.350802i | −0.0154316 | − | 0.0112117i | ||||
\(980\) | 20.4580 | − | 1.67014i | 0.653508 | − | 0.0533506i | ||||
\(981\) | −21.3866 | + | 15.5383i | −0.682823 | + | 0.496100i | ||||
\(982\) | −1.04535 | + | 0.603531i | −0.0333583 | + | 0.0192595i | ||||
\(983\) | 5.69107 | − | 0.598156i | 0.181517 | − | 0.0190782i | −0.0133338 | − | 0.999911i | \(-0.504244\pi\) |
0.194851 | + | 0.980833i | \(0.437578\pi\) | |||||||
\(984\) | 23.7496 | + | 5.04812i | 0.757108 | + | 0.160928i | ||||
\(985\) | −43.9596 | + | 20.0433i | −1.40067 | + | 0.638633i | ||||
\(986\) | 0.217943 | − | 0.670761i | 0.00694073 | − | 0.0213614i | ||||
\(987\) | −13.4276 | + | 5.72136i | −0.427407 | + | 0.182113i | ||||
\(988\) | 3.94519 | − | 1.28187i | 0.125513 | − | 0.0407818i | ||||
\(989\) | −31.2422 | + | 6.64072i | −0.993443 | + | 0.211163i | ||||
\(990\) | −0.0365056 | + | 0.115855i | −0.00116022 | + | 0.00368212i | ||||
\(991\) | −40.1295 | − | 8.52980i | −1.27476 | − | 0.270958i | −0.479668 | − | 0.877450i | \(-0.659243\pi\) |
−0.795089 | + | 0.606492i | \(0.792576\pi\) | |||||||
\(992\) | −4.06493 | + | 9.12997i | −0.129062 | + | 0.289877i | ||||
\(993\) | − | 39.1619i | − | 1.24276i | ||||||
\(994\) | 7.35005 | + | 2.51960i | 0.233129 | + | 0.0799167i | ||||
\(995\) | −21.4423 | + | 12.6358i | −0.679767 | + | 0.400582i | ||||
\(996\) | 2.16462 | − | 20.5950i | 0.0685885 | − | 0.652576i | ||||
\(997\) | 0.349387 | + | 0.784736i | 0.0110652 | + | 0.0248528i | 0.918994 | − | 0.394273i | \(-0.129003\pi\) |
−0.907928 | + | 0.419125i | \(0.862337\pi\) | |||||||
\(998\) | −23.3392 | + | 21.0147i | −0.738791 | + | 0.665210i | ||||
\(999\) | 28.3147 | + | 49.0424i | 0.895836 | + | 1.55163i |
(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.t.a.4.12 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.q.b.851.14 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.851.23 | 288 | |||
5.4 | even | 2 | 875.2.u.a.774.7 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.79.12 | yes | 144 | |
25.6 | even | 5 | 875.2.u.a.599.7 | 144 | |||
25.8 | odd | 20 | 875.2.q.b.151.14 | 288 | |||
25.17 | odd | 20 | 875.2.q.b.151.23 | 288 | |||
25.19 | even | 10 | inner | 175.2.t.a.144.12 | yes | 144 | |
35.2 | odd | 12 | 875.2.q.b.226.23 | 288 | |||
35.9 | even | 6 | 875.2.u.a.149.7 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.226.14 | 288 | |||
175.44 | even | 30 | inner | 175.2.t.a.44.12 | yes | 144 | |
175.58 | odd | 60 | 875.2.q.b.401.23 | 288 | |||
175.142 | odd | 60 | 875.2.q.b.401.14 | 288 | |||
175.156 | even | 15 | 875.2.u.a.849.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.4.12 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.44.12 | yes | 144 | 175.44 | even | 30 | inner | |
175.2.t.a.79.12 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.144.12 | yes | 144 | 25.19 | even | 10 | inner | |
875.2.q.b.151.14 | 288 | 25.8 | odd | 20 | |||
875.2.q.b.151.23 | 288 | 25.17 | odd | 20 | |||
875.2.q.b.226.14 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.226.23 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.401.14 | 288 | 175.142 | odd | 60 | |||
875.2.q.b.401.23 | 288 | 175.58 | odd | 60 | |||
875.2.q.b.851.14 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.851.23 | 288 | 5.3 | odd | 4 | |||
875.2.u.a.149.7 | 144 | 35.9 | even | 6 | |||
875.2.u.a.599.7 | 144 | 25.6 | even | 5 | |||
875.2.u.a.774.7 | 144 | 5.4 | even | 2 | |||
875.2.u.a.849.7 | 144 | 175.156 | even | 15 |