Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.8 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.8 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.95646 | − | 0.415062i | −0.978228 | − | 0.207531i | ||||
\(3\) | 1.78111 | − | 2.41406i | 0.593702 | − | 0.804685i | ||||
\(4\) | 3.65545 | + | 1.62410i | 0.913862 | + | 0.406026i | ||||
\(5\) | 4.46722 | + | 2.24588i | 0.893443 | + | 0.449176i | ||||
\(6\) | −4.48664 | + | 3.98372i | −0.747773 | + | 0.663954i | ||||
\(7\) | 4.75879 | − | 4.75879i | 0.679828 | − | 0.679828i | −0.280133 | − | 0.959961i | \(-0.590379\pi\) |
0.959961 | + | 0.280133i | \(0.0903787\pi\) | |||||||
\(8\) | −6.47762 | − | 4.69473i | −0.809702 | − | 0.586841i | ||||
\(9\) | −2.65532 | − | 8.59937i | −0.295036 | − | 0.955486i | ||||
\(10\) | −7.80774 | − | 6.24814i | −0.780774 | − | 0.624814i | ||||
\(11\) | −9.36153 | − | 6.80155i | −0.851048 | − | 0.618322i | 0.0743869 | − | 0.997229i | \(-0.476300\pi\) |
−0.925435 | + | 0.378907i | \(0.876300\pi\) | |||||||
\(12\) | 10.4314 | − | 5.93175i | 0.869284 | − | 0.494313i | ||||
\(13\) | 0.772296 | − | 4.87609i | 0.0594074 | − | 0.375083i | −0.940016 | − | 0.341130i | \(-0.889190\pi\) |
0.999423 | − | 0.0339532i | \(-0.0108097\pi\) | |||||||
\(14\) | −11.2856 | + | 7.33518i | −0.806112 | + | 0.523941i | ||||
\(15\) | 13.3783 | − | 6.78396i | 0.891884 | − | 0.452264i | ||||
\(16\) | 10.7246 | + | 11.8736i | 0.670286 | + | 0.742103i | ||||
\(17\) | 12.2939 | + | 24.1281i | 0.723171 | + | 1.41930i | 0.900369 | + | 0.435127i | \(0.143297\pi\) |
−0.177199 | + | 0.984175i | \(0.556703\pi\) | |||||||
\(18\) | 1.62575 | + | 17.9264i | 0.0903195 | + | 0.995913i | ||||
\(19\) | 6.31187 | − | 19.4259i | 0.332203 | − | 1.02242i | −0.635880 | − | 0.771788i | \(-0.719363\pi\) |
0.968083 | − | 0.250629i | \(-0.0806374\pi\) | |||||||
\(20\) | 12.6821 | + | 15.4649i | 0.634107 | + | 0.773246i | ||||
\(21\) | −3.01208 | − | 19.9639i | −0.143432 | − | 0.950662i | ||||
\(22\) | 15.4924 | + | 17.1926i | 0.704198 | + | 0.781480i | ||||
\(23\) | 11.2081 | − | 1.77519i | 0.487308 | − | 0.0771820i | 0.0920543 | − | 0.995754i | \(-0.470657\pi\) |
0.395254 | + | 0.918572i | \(0.370657\pi\) | |||||||
\(24\) | −22.8707 | + | 7.27553i | −0.952944 | + | 0.303147i | ||||
\(25\) | 14.9121 | + | 20.0657i | 0.596482 | + | 0.802626i | ||||
\(26\) | −3.53484 | + | 9.21930i | −0.135956 | + | 0.354588i | ||||
\(27\) | −25.4888 | − | 8.90630i | −0.944029 | − | 0.329863i | ||||
\(28\) | 25.1243 | − | 9.66675i | 0.897296 | − | 0.345241i | ||||
\(29\) | −9.24527 | − | 28.4540i | −0.318802 | − | 0.981173i | −0.974161 | − | 0.225855i | \(-0.927482\pi\) |
0.655359 | − | 0.755318i | \(-0.272518\pi\) | |||||||
\(30\) | −28.9898 | + | 7.71971i | −0.966325 | + | 0.257324i | ||||
\(31\) | 20.5640 | + | 6.68164i | 0.663354 | + | 0.215537i | 0.621293 | − | 0.783578i | \(-0.286608\pi\) |
0.0420608 | + | 0.999115i | \(0.486608\pi\) | |||||||
\(32\) | −16.0539 | − | 27.6816i | −0.501684 | − | 0.865051i | ||||
\(33\) | −33.0932 | + | 10.4850i | −1.00282 | + | 0.317726i | ||||
\(34\) | −14.0378 | − | 52.3084i | −0.412877 | − | 1.53848i | ||||
\(35\) | 31.9462 | − | 10.5709i | 0.912750 | − | 0.302025i | ||||
\(36\) | 4.25987 | − | 35.7471i | 0.118330 | − | 0.992974i | ||||
\(37\) | −51.9380 | − | 8.22616i | −1.40373 | − | 0.222329i | −0.591800 | − | 0.806085i | \(-0.701582\pi\) |
−0.811929 | + | 0.583756i | \(0.801582\pi\) | |||||||
\(38\) | −20.4119 | + | 35.3862i | −0.537154 | + | 0.931215i | ||||
\(39\) | −10.3956 | − | 10.5492i | −0.266554 | − | 0.270492i | ||||
\(40\) | −18.3931 | − | 35.5203i | −0.459829 | − | 0.888008i | ||||
\(41\) | −27.9026 | − | 38.4046i | −0.680551 | − | 0.936698i | 0.319389 | − | 0.947624i | \(-0.396522\pi\) |
−0.999940 | + | 0.0109253i | \(0.996522\pi\) | |||||||
\(42\) | −2.39327 | + | 40.3087i | −0.0569826 | + | 0.959731i | ||||
\(43\) | 46.0141 | + | 46.0141i | 1.07009 | + | 1.07009i | 0.997351 | + | 0.0727439i | \(0.0231756\pi\) |
0.0727439 | + | 0.997351i | \(0.476824\pi\) | |||||||
\(44\) | −23.1741 | − | 40.0668i | −0.526685 | − | 0.910609i | ||||
\(45\) | 7.45124 | − | 44.3788i | 0.165583 | − | 0.986196i | ||||
\(46\) | −22.6649 | − | 1.17898i | −0.492716 | − | 0.0256300i | ||||
\(47\) | 16.0882 | − | 31.5749i | 0.342302 | − | 0.671805i | −0.654114 | − | 0.756396i | \(-0.726958\pi\) |
0.996416 | + | 0.0845907i | \(0.0269583\pi\) | |||||||
\(48\) | 47.7652 | − | 4.74151i | 0.995109 | − | 0.0987815i | ||||
\(49\) | 3.70776i | 0.0756686i | ||||||||
\(50\) | −20.8463 | − | 45.4470i | −0.416926 | − | 0.908940i | ||||
\(51\) | 80.1434 | + | 13.2966i | 1.57144 | + | 0.260718i | ||||
\(52\) | 10.7424 | − | 16.5700i | 0.206584 | − | 0.318653i | ||||
\(53\) | −9.12071 | + | 17.9004i | −0.172089 | + | 0.337744i | −0.960902 | − | 0.276890i | \(-0.910696\pi\) |
0.788813 | + | 0.614634i | \(0.210696\pi\) | |||||||
\(54\) | 46.1710 | + | 28.0042i | 0.855019 | + | 0.518597i | ||||
\(55\) | −26.5445 | − | 51.4088i | −0.482628 | − | 0.934706i | ||||
\(56\) | −53.1669 | + | 8.48442i | −0.949409 | + | 0.151508i | ||||
\(57\) | −35.6532 | − | 49.8368i | −0.625494 | − | 0.874330i | ||||
\(58\) | 6.27778 | + | 59.5064i | 0.108238 | + | 1.02597i | ||||
\(59\) | −10.9892 | − | 15.1253i | −0.186257 | − | 0.256361i | 0.705669 | − | 0.708541i | \(-0.250646\pi\) |
−0.891927 | + | 0.452180i | \(0.850646\pi\) | |||||||
\(60\) | 59.9214 | − | 3.07073i | 0.998690 | − | 0.0511788i | ||||
\(61\) | 50.8338 | + | 36.9329i | 0.833340 | + | 0.605457i | 0.920502 | − | 0.390737i | \(-0.127780\pi\) |
−0.0871620 | + | 0.996194i | \(0.527780\pi\) | |||||||
\(62\) | −37.4592 | − | 21.6077i | −0.604181 | − | 0.348511i | ||||
\(63\) | −53.5588 | − | 28.2865i | −0.850140 | − | 0.448992i | ||||
\(64\) | 19.9191 | + | 60.8213i | 0.311236 | + | 0.950333i | ||||
\(65\) | 14.4011 | − | 20.0480i | 0.221556 | − | 0.308432i | ||||
\(66\) | 69.0973 | − | 6.77765i | 1.04693 | − | 0.102692i | ||||
\(67\) | −21.7153 | − | 42.6187i | −0.324109 | − | 0.636100i | 0.670254 | − | 0.742132i | \(-0.266185\pi\) |
−0.994363 | + | 0.106032i | \(0.966185\pi\) | |||||||
\(68\) | 5.75311 | + | 108.166i | 0.0846046 | + | 1.59067i | ||||
\(69\) | 15.6774 | − | 30.2187i | 0.227209 | − | 0.437953i | ||||
\(70\) | −66.8890 | + | 7.42181i | −0.955557 | + | 0.106026i | ||||
\(71\) | −20.1180 | − | 61.9169i | −0.283353 | − | 0.872069i | −0.986888 | − | 0.161409i | \(-0.948396\pi\) |
0.703535 | − | 0.710661i | \(-0.251604\pi\) | |||||||
\(72\) | −23.1715 | + | 68.1695i | −0.321827 | + | 0.946799i | ||||
\(73\) | 66.3484 | − | 10.5086i | 0.908882 | − | 0.143953i | 0.315549 | − | 0.948909i | \(-0.397811\pi\) |
0.593334 | + | 0.804957i | \(0.297811\pi\) | |||||||
\(74\) | 98.2000 | + | 37.6516i | 1.32703 | + | 0.508806i | ||||
\(75\) | 74.9996 | − | 0.259467i | 0.999994 | − | 0.00345957i | ||||
\(76\) | 54.6224 | − | 60.7593i | 0.718716 | − | 0.799465i | ||||
\(77\) | −76.9167 | + | 12.1824i | −0.998919 | + | 0.158213i | ||||
\(78\) | 15.9600 | + | 24.9539i | 0.204615 | + | 0.319921i | ||||
\(79\) | 2.33925 | + | 7.19946i | 0.0296107 | + | 0.0911324i | 0.964770 | − | 0.263096i | \(-0.0847436\pi\) |
−0.935159 | + | 0.354228i | \(0.884744\pi\) | |||||||
\(80\) | 21.2423 | + | 77.1282i | 0.265528 | + | 0.964103i | ||||
\(81\) | −66.8985 | + | 45.6683i | −0.825907 | + | 0.563806i | ||||
\(82\) | 38.6499 | + | 86.7183i | 0.471340 | + | 1.05754i | ||||
\(83\) | 38.3350 | + | 75.2366i | 0.461867 | + | 0.906466i | 0.998053 | + | 0.0623658i | \(0.0198645\pi\) |
−0.536186 | + | 0.844100i | \(0.680135\pi\) | |||||||
\(84\) | 21.4130 | − | 77.8689i | 0.254916 | − | 0.927011i | ||||
\(85\) | 0.730643 | + | 135.396i | 0.00859580 | + | 1.59290i | ||||
\(86\) | −70.9258 | − | 109.123i | −0.824719 | − | 1.26887i | ||||
\(87\) | −85.1564 | − | 28.3610i | −0.978809 | − | 0.325989i | ||||
\(88\) | 28.7090 | + | 88.0076i | 0.326239 | + | 1.00009i | ||||
\(89\) | 2.13186 | + | 1.54889i | 0.0239535 | + | 0.0174032i | 0.599698 | − | 0.800227i | \(-0.295288\pi\) |
−0.575744 | + | 0.817630i | \(0.695288\pi\) | |||||||
\(90\) | −32.9980 | + | 83.7325i | −0.366645 | + | 0.930361i | ||||
\(91\) | −19.5291 | − | 26.8795i | −0.214605 | − | 0.295379i | ||||
\(92\) | 43.8536 | + | 11.7140i | 0.476670 | + | 0.127326i | ||||
\(93\) | 52.7564 | − | 37.7418i | 0.567274 | − | 0.405826i | ||||
\(94\) | −44.5814 | + | 55.0972i | −0.474270 | + | 0.586141i | ||||
\(95\) | 71.8248 | − | 72.6041i | 0.756050 | − | 0.764254i | ||||
\(96\) | −95.4187 | − | 10.5490i | −0.993944 | − | 0.109885i | ||||
\(97\) | −47.7650 | + | 93.7441i | −0.492423 | + | 0.966434i | 0.502383 | + | 0.864645i | \(0.332457\pi\) |
−0.994806 | + | 0.101789i | \(0.967543\pi\) | |||||||
\(98\) | 1.53895 | − | 7.25407i | 0.0157036 | − | 0.0740211i | ||||
\(99\) | −33.6312 | + | 98.5636i | −0.339709 | + | 0.995592i | ||||
\(100\) | 21.9215 | + | 97.5677i | 0.219215 | + | 0.975677i | ||||
\(101\) | 144.194i | 1.42766i | 0.700320 | + | 0.713830i | \(0.253041\pi\) | ||||
−0.700320 | + | 0.713830i | \(0.746959\pi\) | |||||||
\(102\) | −151.278 | − | 59.2787i | −1.48312 | − | 0.581164i | ||||
\(103\) | −70.2722 | + | 137.917i | −0.682255 | + | 1.33900i | 0.246803 | + | 0.969066i | \(0.420620\pi\) |
−0.929058 | + | 0.369935i | \(0.879380\pi\) | |||||||
\(104\) | −27.8945 | + | 27.9597i | −0.268217 | + | 0.268843i | ||||
\(105\) | 31.3809 | − | 95.9479i | 0.298866 | − | 0.913789i | ||||
\(106\) | 25.2741 | − | 31.2357i | 0.238435 | − | 0.294677i | ||||
\(107\) | −13.2516 | − | 13.2516i | −0.123846 | − | 0.123846i | 0.642467 | − | 0.766313i | \(-0.277911\pi\) |
−0.766313 | + | 0.642467i | \(0.777911\pi\) | |||||||
\(108\) | −78.7081 | − | 73.9529i | −0.728779 | − | 0.684749i | ||||
\(109\) | −64.2026 | − | 88.3673i | −0.589015 | − | 0.810709i | 0.405633 | − | 0.914036i | \(-0.367051\pi\) |
−0.994647 | + | 0.103327i | \(0.967051\pi\) | |||||||
\(110\) | 30.5953 | + | 111.597i | 0.278139 | + | 1.01452i | ||||
\(111\) | −112.365 | + | 110.729i | −1.01230 | + | 0.997562i | ||||
\(112\) | 107.540 | + | 5.46816i | 0.960181 | + | 0.0488229i | ||||
\(113\) | 137.919 | + | 21.8442i | 1.22052 | + | 0.193311i | 0.733261 | − | 0.679947i | \(-0.237997\pi\) |
0.487258 | + | 0.873258i | \(0.337997\pi\) | |||||||
\(114\) | 49.0685 | + | 112.302i | 0.430425 | + | 0.985104i | ||||
\(115\) | 54.0558 | + | 17.2419i | 0.470050 | + | 0.149929i | ||||
\(116\) | 12.4167 | − | 119.027i | 0.107040 | − | 1.02610i | ||||
\(117\) | −43.9820 | + | 6.30633i | −0.375914 | + | 0.0539002i | ||||
\(118\) | 15.2219 | + | 34.1532i | 0.128999 | + | 0.289434i | ||||
\(119\) | 173.325 | + | 56.3167i | 1.45651 | + | 0.473250i | ||||
\(120\) | −118.508 | − | 18.8634i | −0.987568 | − | 0.157195i | ||||
\(121\) | 3.98608 | + | 12.2679i | 0.0329428 | + | 0.101388i | ||||
\(122\) | −84.1246 | − | 93.3568i | −0.689546 | − | 0.765220i | ||||
\(123\) | −142.408 | − | 1.04430i | −1.15779 | − | 0.00849022i | ||||
\(124\) | 64.3188 | + | 57.8224i | 0.518700 | + | 0.466309i | ||||
\(125\) | 21.5503 | + | 123.128i | 0.172403 | + | 0.985027i | ||||
\(126\) | 93.0448 | + | 77.5716i | 0.738451 | + | 0.615647i | ||||
\(127\) | 58.5034 | − | 9.26604i | 0.460657 | − | 0.0729609i | 0.0782071 | − | 0.996937i | \(-0.475080\pi\) |
0.382450 | + | 0.923976i | \(0.375080\pi\) | |||||||
\(128\) | −13.7262 | − | 127.262i | −0.107236 | − | 0.994234i | ||||
\(129\) | 193.036 | − | 29.1246i | 1.49641 | − | 0.225772i | ||||
\(130\) | −36.4963 | + | 33.2458i | −0.280741 | + | 0.255737i | ||||
\(131\) | 16.7308 | − | 51.4921i | 0.127716 | − | 0.393070i | −0.866670 | − | 0.498882i | \(-0.833744\pi\) |
0.994386 | + | 0.105812i | \(0.0337442\pi\) | |||||||
\(132\) | −137.999 | − | 15.4195i | −1.04545 | − | 0.116814i | ||||
\(133\) | −62.4071 | − | 122.481i | −0.469226 | − | 0.920909i | ||||
\(134\) | 24.7956 | + | 92.3948i | 0.185042 | + | 0.689514i | ||||
\(135\) | −93.8614 | − | 97.0311i | −0.695270 | − | 0.718749i | ||||
\(136\) | 33.6398 | − | 214.009i | 0.247351 | − | 1.57360i | ||||
\(137\) | −28.7742 | + | 181.673i | −0.210031 | + | 1.32608i | 0.627040 | + | 0.778987i | \(0.284266\pi\) |
−0.837071 | + | 0.547094i | \(0.815734\pi\) | |||||||
\(138\) | −43.2148 | + | 52.6146i | −0.313151 | + | 0.381265i | ||||
\(139\) | −171.005 | − | 124.242i | −1.23025 | − | 0.893828i | −0.233340 | − | 0.972395i | \(-0.574965\pi\) |
−0.996909 | + | 0.0785674i | \(0.974965\pi\) | |||||||
\(140\) | 133.946 | + | 13.2427i | 0.956757 | + | 0.0945904i | ||||
\(141\) | −47.5687 | − | 95.0759i | −0.337366 | − | 0.674297i | ||||
\(142\) | 13.6607 | + | 129.488i | 0.0962019 | + | 0.911888i | ||||
\(143\) | −40.3948 | + | 40.3948i | −0.282481 | + | 0.282481i | ||||
\(144\) | 73.6287 | − | 123.753i | 0.511310 | − | 0.859396i | ||||
\(145\) | 22.6036 | − | 147.874i | 0.155887 | − | 1.01982i | ||||
\(146\) | −134.170 | − | 6.97919i | −0.918969 | − | 0.0478027i | ||||
\(147\) | 8.95074 | + | 6.60391i | 0.0608894 | + | 0.0449246i | ||||
\(148\) | −176.496 | − | 114.423i | −1.19254 | − | 0.773128i | ||||
\(149\) | 287.145 | 1.92715 | 0.963573 | − | 0.267447i | \(-0.0861801\pi\) | ||||
0.963573 | + | 0.267447i | \(0.0861801\pi\) | |||||||
\(150\) | −146.841 | − | 30.6219i | −0.978941 | − | 0.204146i | ||||
\(151\) | 233.330i | 1.54523i | 0.634872 | + | 0.772617i | \(0.281053\pi\) | ||||
−0.634872 | + | 0.772617i | \(0.718947\pi\) | |||||||
\(152\) | −132.085 | + | 96.2013i | −0.868982 | + | 0.632903i | ||||
\(153\) | 174.843 | − | 169.788i | 1.14276 | − | 1.10972i | ||||
\(154\) | 155.541 | + | 8.09087i | 1.01000 | + | 0.0525381i | ||||
\(155\) | 76.8576 | + | 76.0325i | 0.495855 | + | 0.490532i | ||||
\(156\) | −20.8676 | − | 55.4455i | −0.133767 | − | 0.355420i | ||||
\(157\) | 16.9179 | + | 16.9179i | 0.107757 | + | 0.107757i | 0.758930 | − | 0.651172i | \(-0.225723\pi\) |
−0.651172 | + | 0.758930i | \(0.725723\pi\) | |||||||
\(158\) | −1.58841 | − | 15.0564i | −0.0100532 | − | 0.0952935i | ||||
\(159\) | 26.9676 | + | 53.9004i | 0.169608 | + | 0.338996i | ||||
\(160\) | −9.54652 | − | 159.715i | −0.0596658 | − | 0.998218i | ||||
\(161\) | 44.8892 | − | 61.7847i | 0.278815 | − | 0.383756i | ||||
\(162\) | 149.839 | − | 61.5809i | 0.924933 | − | 0.380129i | ||||
\(163\) | 199.292 | + | 31.5648i | 1.22265 | + | 0.193649i | 0.734195 | − | 0.678938i | \(-0.237560\pi\) |
0.488458 | + | 0.872588i | \(0.337560\pi\) | |||||||
\(164\) | −39.6234 | − | 185.703i | −0.241606 | − | 1.13233i | ||||
\(165\) | −171.382 | − | 27.4847i | −1.03868 | − | 0.166574i | ||||
\(166\) | −43.7728 | − | 163.109i | −0.263692 | − | 0.982582i | ||||
\(167\) | −115.820 | + | 59.0132i | −0.693533 | + | 0.353373i | −0.764964 | − | 0.644073i | \(-0.777243\pi\) |
0.0714312 | + | 0.997446i | \(0.477243\pi\) | |||||||
\(168\) | −74.2140 | + | 143.459i | −0.441750 | + | 0.853925i | ||||
\(169\) | 137.549 | + | 44.6923i | 0.813898 | + | 0.264452i | ||||
\(170\) | 54.7684 | − | 265.200i | 0.322167 | − | 1.56000i | ||||
\(171\) | −183.811 | − | 2.69596i | −1.07492 | − | 0.0157658i | ||||
\(172\) | 93.4704 | + | 242.934i | 0.543432 | + | 1.41240i | ||||
\(173\) | 32.3398 | + | 204.186i | 0.186936 | + | 1.18026i | 0.885473 | + | 0.464691i | \(0.153835\pi\) |
−0.698537 | + | 0.715574i | \(0.746165\pi\) | |||||||
\(174\) | 154.833 | + | 90.8323i | 0.889846 | + | 0.522025i | ||||
\(175\) | 166.452 | + | 24.5249i | 0.951153 | + | 0.140142i | ||||
\(176\) | −19.6393 | − | 184.099i | −0.111587 | − | 1.04602i | ||||
\(177\) | −56.0862 | − | 0.411287i | −0.316871 | − | 0.00232365i | ||||
\(178\) | −3.52800 | − | 3.91518i | −0.0198203 | − | 0.0219954i | ||||
\(179\) | −259.666 | + | 84.3706i | −1.45065 | + | 0.471344i | −0.925200 | − | 0.379481i | \(-0.876103\pi\) |
−0.525449 | + | 0.850825i | \(0.676103\pi\) | |||||||
\(180\) | 99.3134 | − | 150.123i | 0.551741 | − | 0.834015i | ||||
\(181\) | −81.2880 | + | 250.179i | −0.449105 | + | 1.38220i | 0.428814 | + | 0.903393i | \(0.358932\pi\) |
−0.877919 | + | 0.478810i | \(0.841068\pi\) | |||||||
\(182\) | 27.0512 | + | 60.6943i | 0.148633 | + | 0.333485i | ||||
\(183\) | 179.698 | − | 56.9341i | 0.981958 | − | 0.311115i | ||||
\(184\) | −80.9357 | − | 41.1199i | −0.439868 | − | 0.223478i | ||||
\(185\) | −213.543 | − | 153.394i | −1.15429 | − | 0.829159i | ||||
\(186\) | −118.881 | + | 51.9431i | −0.639145 | + | 0.279264i | ||||
\(187\) | 49.0190 | − | 309.494i | 0.262134 | − | 1.65505i | ||||
\(188\) | 110.090 | − | 89.2913i | 0.585587 | − | 0.474954i | ||||
\(189\) | −163.679 | + | 78.9126i | −0.866027 | + | 0.417527i | ||||
\(190\) | −170.657 | + | 112.235i | −0.898196 | + | 0.590711i | ||||
\(191\) | 96.4829 | − | 70.0989i | 0.505146 | − | 0.367010i | −0.305833 | − | 0.952085i | \(-0.598935\pi\) |
0.810979 | + | 0.585075i | \(0.198935\pi\) | |||||||
\(192\) | 182.304 | + | 60.2433i | 0.949500 | + | 0.313767i | ||||
\(193\) | 39.3325 | − | 39.3325i | 0.203795 | − | 0.203795i | −0.597829 | − | 0.801624i | \(-0.703970\pi\) |
0.801624 | + | 0.597829i | \(0.203970\pi\) | |||||||
\(194\) | 132.360 | − | 163.581i | 0.682267 | − | 0.843200i | ||||
\(195\) | −22.7472 | − | 70.4728i | −0.116652 | − | 0.361399i | ||||
\(196\) | −6.02178 | + | 13.5535i | −0.0307234 | + | 0.0691506i | ||||
\(197\) | 64.4696 | + | 32.8489i | 0.327257 | + | 0.166746i | 0.609898 | − | 0.792480i | \(-0.291210\pi\) |
−0.282641 | + | 0.959226i | \(0.591210\pi\) | |||||||
\(198\) | 106.708 | − | 178.876i | 0.538929 | − | 0.903416i | ||||
\(199\) | −140.242 | −0.704734 | −0.352367 | − | 0.935862i | \(-0.614623\pi\) | ||||
−0.352367 | + | 0.935862i | \(0.614623\pi\) | |||||||
\(200\) | −2.39186 | − | 199.986i | −0.0119593 | − | 0.999928i | ||||
\(201\) | −141.561 | − | 23.4864i | −0.704284 | − | 0.116848i | ||||
\(202\) | 59.8493 | − | 282.108i | 0.296284 | − | 1.39658i | ||||
\(203\) | −179.403 | − | 91.4105i | −0.883759 | − | 0.450298i | ||||
\(204\) | 271.365 | + | 178.766i | 1.33022 | + | 0.876305i | ||||
\(205\) | −38.3948 | − | 234.228i | −0.187292 | − | 1.14257i | ||||
\(206\) | 194.729 | − | 240.661i | 0.945285 | − | 1.16826i | ||||
\(207\) | −45.0266 | − | 91.6688i | −0.217520 | − | 0.442845i | ||||
\(208\) | 66.1794 | − | 43.1240i | 0.318170 | − | 0.207327i | ||||
\(209\) | −191.215 | + | 138.926i | −0.914905 | + | 0.664717i | ||||
\(210\) | −101.220 | + | 174.693i | −0.481999 | + | 0.831871i | ||||
\(211\) | 206.961 | − | 284.857i | 0.980857 | − | 1.35003i | 0.0444902 | − | 0.999010i | \(-0.485834\pi\) |
0.936367 | − | 0.351024i | \(-0.114166\pi\) | |||||||
\(212\) | −62.4124 | + | 50.6210i | −0.294398 | + | 0.238778i | ||||
\(213\) | −185.303 | − | 61.7146i | −0.869968 | − | 0.289740i | ||||
\(214\) | 20.4259 | + | 31.4263i | 0.0954480 | + | 0.146852i | ||||
\(215\) | 102.213 | + | 308.897i | 0.475408 | + | 1.43673i | ||||
\(216\) | 123.294 | + | 177.354i | 0.570806 | + | 0.821085i | ||||
\(217\) | 129.656 | − | 66.0631i | 0.597494 | − | 0.304438i | ||||
\(218\) | 88.9317 | + | 199.535i | 0.407944 | + | 0.915298i | ||||
\(219\) | 92.8053 | − | 178.886i | 0.423769 | − | 0.816829i | ||||
\(220\) | −13.5388 | − | 231.033i | −0.0615401 | − | 1.05015i | ||||
\(221\) | 127.145 | − | 41.3120i | 0.575318 | − | 0.186932i | ||||
\(222\) | 265.798 | − | 169.999i | 1.19729 | − | 0.765760i | ||||
\(223\) | 48.6707 | + | 307.295i | 0.218254 | + | 1.37800i | 0.816803 | + | 0.576917i | \(0.195744\pi\) |
−0.598548 | + | 0.801087i | \(0.704256\pi\) | |||||||
\(224\) | −208.128 | − | 55.3341i | −0.929144 | − | 0.247027i | ||||
\(225\) | 132.956 | − | 181.515i | 0.590914 | − | 0.806734i | ||||
\(226\) | −260.765 | − | 99.9820i | −1.15383 | − | 0.442398i | ||||
\(227\) | 28.8236 | + | 181.985i | 0.126976 | + | 0.801696i | 0.966178 | + | 0.257876i | \(0.0830227\pi\) |
−0.839202 | + | 0.543820i | \(0.816977\pi\) | |||||||
\(228\) | −49.3881 | − | 240.080i | −0.216614 | − | 1.05298i | ||||
\(229\) | −327.112 | + | 106.285i | −1.42844 | + | 0.464127i | −0.918272 | − | 0.395950i | \(-0.870415\pi\) |
−0.510164 | + | 0.860077i | \(0.670415\pi\) | |||||||
\(230\) | −98.6014 | − | 56.1695i | −0.428702 | − | 0.244215i | ||||
\(231\) | −107.588 | + | 207.379i | −0.465748 | + | 0.897746i | ||||
\(232\) | −73.6965 | + | 227.718i | −0.317657 | + | 0.981544i | ||||
\(233\) | −193.747 | + | 98.7192i | −0.831534 | + | 0.423688i | −0.817301 | − | 0.576211i | \(-0.804531\pi\) |
−0.0142328 | + | 0.999899i | \(0.504531\pi\) | |||||||
\(234\) | 88.6664 | + | 5.91721i | 0.378916 | + | 0.0252872i | ||||
\(235\) | 142.783 | − | 104.920i | 0.607586 | − | 0.446466i | ||||
\(236\) | −15.6053 | − | 73.1373i | −0.0661241 | − | 0.309904i | ||||
\(237\) | 21.5463 | + | 7.17593i | 0.0909128 | + | 0.0302782i | ||||
\(238\) | −315.728 | − | 182.122i | −1.32659 | − | 0.765218i | ||||
\(239\) | −102.167 | + | 140.621i | −0.427478 | + | 0.588373i | −0.967372 | − | 0.253360i | \(-0.918464\pi\) |
0.539894 | + | 0.841733i | \(0.318464\pi\) | |||||||
\(240\) | 224.027 | + | 86.0936i | 0.933444 | + | 0.358723i | ||||
\(241\) | 275.617 | − | 200.247i | 1.14364 | − | 0.830902i | 0.156017 | − | 0.987754i | \(-0.450135\pi\) |
0.987622 | + | 0.156852i | \(0.0501347\pi\) | |||||||
\(242\) | −2.70665 | − | 25.6561i | −0.0111845 | − | 0.106017i | ||||
\(243\) | −8.90758 | + | 242.837i | −0.0366567 | + | 0.999328i | ||||
\(244\) | 125.837 | + | 217.565i | 0.515727 | + | 0.891662i | ||||
\(245\) | −8.32718 | + | 16.5634i | −0.0339885 | + | 0.0676056i | ||||
\(246\) | 278.182 | + | 61.1515i | 1.13082 | + | 0.248583i | ||||
\(247\) | −89.8478 | − | 45.7798i | −0.363756 | − | 0.185343i | ||||
\(248\) | −101.837 | − | 139.823i | −0.410633 | − | 0.563804i | ||||
\(249\) | 249.904 | + | 41.4616i | 1.00363 | + | 0.166513i | ||||
\(250\) | 8.94360 | − | 249.840i | 0.0357744 | − | 0.999360i | ||||
\(251\) | −97.8901 | −0.390000 | −0.195000 | − | 0.980803i | \(-0.562471\pi\) | ||||
−0.195000 | + | 0.980803i | \(0.562471\pi\) | |||||||
\(252\) | −149.841 | − | 190.385i | −0.594608 | − | 0.755495i | ||||
\(253\) | −116.999 | − | 59.6139i | −0.462446 | − | 0.235628i | ||||
\(254\) | −118.305 | − | 6.15398i | −0.465769 | − | 0.0242283i | ||||
\(255\) | 328.155 | + | 239.391i | 1.28688 | + | 0.938789i | ||||
\(256\) | −25.9668 | + | 254.680i | −0.101433 | + | 0.994842i | ||||
\(257\) | −70.3340 | + | 70.3340i | −0.273673 | + | 0.273673i | −0.830577 | − | 0.556904i | \(-0.811989\pi\) |
0.556904 | + | 0.830577i | \(0.311989\pi\) | |||||||
\(258\) | −389.756 | − | 23.1412i | −1.51068 | − | 0.0896944i | ||||
\(259\) | −286.309 | + | 208.015i | −1.10544 | + | 0.803148i | ||||
\(260\) | 85.2026 | − | 49.8957i | 0.327702 | − | 0.191906i | ||||
\(261\) | −220.138 | + | 155.058i | −0.843439 | + | 0.594093i | ||||
\(262\) | −54.1055 | + | 93.7978i | −0.206510 | + | 0.358007i | ||||
\(263\) | 16.8020 | − | 106.084i | 0.0638860 | − | 0.403361i | −0.934935 | − | 0.354819i | \(-0.884543\pi\) |
0.998821 | − | 0.0485418i | \(-0.0154574\pi\) | |||||||
\(264\) | 263.589 | + | 87.4458i | 0.998443 | + | 0.331234i | ||||
\(265\) | −80.9464 | + | 59.4810i | −0.305458 | + | 0.224457i | ||||
\(266\) | 71.2596 | + | 265.531i | 0.267893 | + | 0.998238i | ||||
\(267\) | 7.53616 | − | 2.38769i | 0.0282253 | − | 0.00894268i | ||||
\(268\) | −10.1620 | − | 191.058i | −0.0379179 | − | 0.712904i | ||||
\(269\) | 30.4229 | − | 93.6321i | 0.113096 | − | 0.348075i | −0.878449 | − | 0.477836i | \(-0.841421\pi\) |
0.991545 | + | 0.129762i | \(0.0414212\pi\) | |||||||
\(270\) | 143.362 | + | 228.795i | 0.530970 | + | 0.847391i | ||||
\(271\) | −500.782 | + | 162.714i | −1.84790 | + | 0.600421i | −0.850704 | + | 0.525644i | \(0.823824\pi\) |
−0.997200 | + | 0.0747764i | \(0.976176\pi\) | |||||||
\(272\) | −154.642 | + | 404.737i | −0.568537 | + | 1.48801i | ||||
\(273\) | −99.6719 | − | 0.730906i | −0.365099 | − | 0.00267731i | ||||
\(274\) | 131.701 | − | 343.493i | 0.480661 | − | 1.25362i | ||||
\(275\) | −3.12209 | − | 289.270i | −0.0113530 | − | 1.05189i | ||||
\(276\) | 106.386 | − | 85.0013i | 0.385457 | − | 0.307976i | ||||
\(277\) | −49.2189 | − | 310.756i | −0.177686 | − | 1.12186i | −0.901791 | − | 0.432173i | \(-0.857747\pi\) |
0.724105 | − | 0.689690i | \(-0.242253\pi\) | |||||||
\(278\) | 282.995 | + | 314.052i | 1.01797 | + | 1.12968i | ||||
\(279\) | 2.85390 | − | 194.579i | 0.0102290 | − | 0.697416i | ||||
\(280\) | −256.563 | − | 81.5046i | −0.916296 | − | 0.291088i | ||||
\(281\) | 117.117 | + | 38.0537i | 0.416787 | + | 0.135422i | 0.509901 | − | 0.860233i | \(-0.329682\pi\) |
−0.0931137 | + | 0.995655i | \(0.529682\pi\) | |||||||
\(282\) | 53.6036 | + | 205.756i | 0.190084 | + | 0.729631i | ||||
\(283\) | 3.51622 | − | 1.79160i | 0.0124248 | − | 0.00633075i | −0.447767 | − | 0.894150i | \(-0.647781\pi\) |
0.460192 | + | 0.887819i | \(0.347781\pi\) | |||||||
\(284\) | 27.0191 | − | 259.008i | 0.0951376 | − | 0.911999i | ||||
\(285\) | −47.3429 | − | 302.705i | −0.166116 | − | 1.06212i | ||||
\(286\) | 95.7970 | − | 62.2643i | 0.334955 | − | 0.217707i | ||||
\(287\) | −315.542 | − | 49.9770i | −1.09945 | − | 0.174136i | ||||
\(288\) | −195.417 | + | 211.557i | −0.678530 | + | 0.734573i | ||||
\(289\) | −261.157 | + | 359.452i | −0.903657 | + | 1.24378i | ||||
\(290\) | −105.600 | + | 279.927i | −0.364138 | + | 0.965266i | ||||
\(291\) | 141.229 | + | 282.275i | 0.485323 | + | 0.970019i | ||||
\(292\) | 259.600 | + | 69.3432i | 0.889041 | + | 0.237477i | ||||
\(293\) | 311.443 | + | 311.443i | 1.06295 | + | 1.06295i | 0.997881 | + | 0.0650643i | \(0.0207253\pi\) |
0.0650643 | + | 0.997881i | \(0.479275\pi\) | |||||||
\(294\) | −14.7707 | − | 16.6354i | −0.0502405 | − | 0.0565829i | ||||
\(295\) | −15.1214 | − | 92.2483i | −0.0512591 | − | 0.312706i | ||||
\(296\) | 297.815 | + | 297.120i | 1.00613 | + | 1.00379i | ||||
\(297\) | 178.037 | + | 256.740i | 0.599452 | + | 0.864443i | ||||
\(298\) | −561.786 | − | 119.183i | −1.88519 | − | 0.399943i | ||||
\(299\) | − | 56.0226i | − | 0.187366i | ||||||
\(300\) | 274.578 | + | 120.859i | 0.915261 | + | 0.402862i | ||||
\(301\) | 437.943 | 1.45496 | ||||||||
\(302\) | 96.8467 | − | 456.501i | 0.320684 | − | 1.51159i | ||||
\(303\) | 348.091 | + | 256.824i | 1.14882 | + | 0.847604i | ||||
\(304\) | 298.349 | − | 133.390i | 0.981410 | − | 0.438783i | ||||
\(305\) | 144.139 | + | 279.154i | 0.472586 | + | 0.915258i | ||||
\(306\) | −412.545 | + | 259.612i | −1.34818 | + | 0.848406i | ||||
\(307\) | 124.747 | − | 124.747i | 0.406343 | − | 0.406343i | −0.474118 | − | 0.880461i | \(-0.657233\pi\) |
0.880461 | + | 0.474118i | \(0.157233\pi\) | |||||||
\(308\) | −300.951 | − | 80.3885i | −0.977112 | − | 0.261002i | ||||
\(309\) | 207.777 | + | 415.286i | 0.672418 | + | 1.34397i | ||||
\(310\) | −118.810 | − | 180.655i | −0.383259 | − | 0.582758i | ||||
\(311\) | 75.7431 | + | 55.0306i | 0.243547 | + | 0.176947i | 0.702862 | − | 0.711326i | \(-0.251905\pi\) |
−0.459315 | + | 0.888273i | \(0.651905\pi\) | |||||||
\(312\) | 17.8132 | + | 117.138i | 0.0570935 | + | 0.375443i | ||||
\(313\) | −18.4000 | + | 116.173i | −0.0587859 | + | 0.371160i | 0.940704 | + | 0.339228i | \(0.110166\pi\) |
−0.999490 | + | 0.0319316i | \(0.989834\pi\) | |||||||
\(314\) | −26.0772 | − | 40.1212i | −0.0830484 | − | 0.127774i | ||||
\(315\) | −175.731 | − | 246.649i | −0.557875 | − | 0.783011i | ||||
\(316\) | −3.14168 | + | 30.1164i | −0.00994201 | + | 0.0953051i | ||||
\(317\) | −159.826 | − | 313.676i | −0.504183 | − | 0.989514i | −0.993110 | − | 0.117189i | \(-0.962612\pi\) |
0.488927 | − | 0.872325i | \(-0.337388\pi\) | |||||||
\(318\) | −30.3889 | − | 116.647i | −0.0955627 | − | 0.366815i | ||||
\(319\) | −106.981 | + | 329.255i | −0.335365 | + | 1.03215i | ||||
\(320\) | −47.6143 | + | 316.438i | −0.148795 | + | 0.988868i | ||||
\(321\) | −55.5924 | + | 8.38756i | −0.173185 | + | 0.0261295i | ||||
\(322\) | −113.468 | + | 102.247i | −0.352386 | + | 0.317538i | ||||
\(323\) | 546.309 | − | 86.5268i | 1.69136 | − | 0.267885i | ||||
\(324\) | −318.714 | + | 58.2879i | −0.983685 | + | 0.179901i | ||||
\(325\) | 109.358 | − | 57.2158i | 0.336487 | − | 0.176049i | ||||
\(326\) | −376.806 | − | 144.474i | −1.15585 | − | 0.443172i | ||||
\(327\) | −327.675 | − | 2.40288i | −1.00206 | − | 0.00734826i | ||||
\(328\) | 0.443202 | + | 379.766i | 0.00135122 | + | 1.15782i | ||||
\(329\) | −73.6978 | − | 226.819i | −0.224006 | − | 0.689418i | ||||
\(330\) | 323.894 | + | 124.907i | 0.981498 | + | 0.378506i | ||||
\(331\) | −609.592 | − | 198.069i | −1.84167 | − | 0.598394i | −0.998117 | − | 0.0613463i | \(-0.980461\pi\) |
−0.843552 | − | 0.537048i | \(-0.819539\pi\) | |||||||
\(332\) | 17.9394 | + | 337.283i | 0.0540344 | + | 1.01591i | ||||
\(333\) | 67.1723 | + | 468.477i | 0.201719 | + | 1.40684i | ||||
\(334\) | 251.091 | − | 67.3843i | 0.751770 | − | 0.201750i | ||||
\(335\) | −1.29057 | − | 239.157i | −0.00385245 | − | 0.713901i | ||||
\(336\) | 204.741 | − | 249.869i | 0.609348 | − | 0.743657i | ||||
\(337\) | 431.614 | + | 68.3609i | 1.28075 | + | 0.202851i | 0.759475 | − | 0.650536i | \(-0.225456\pi\) |
0.521277 | + | 0.853387i | \(0.325456\pi\) | |||||||
\(338\) | −250.558 | − | 144.530i | −0.741296 | − | 0.427603i | ||||
\(339\) | 298.381 | − | 294.036i | 0.880179 | − | 0.867364i | ||||
\(340\) | −217.227 | + | 496.120i | −0.638902 | + | 1.45918i | ||||
\(341\) | −147.065 | − | 202.417i | −0.431275 | − | 0.593599i | ||||
\(342\) | 358.499 | + | 81.5675i | 1.04824 | + | 0.238501i | ||||
\(343\) | 250.825 | + | 250.825i | 0.731269 | + | 0.731269i | ||||
\(344\) | −82.0382 | − | 514.085i | −0.238483 | − | 1.49443i | ||||
\(345\) | 137.902 | − | 99.7841i | 0.399716 | − | 0.289229i | ||||
\(346\) | 21.4783 | − | 412.904i | 0.0620760 | − | 1.19336i | ||||
\(347\) | 138.409 | − | 271.643i | 0.398873 | − | 0.782832i | −0.600992 | − | 0.799255i | \(-0.705228\pi\) |
0.999865 | + | 0.0164226i | \(0.00522770\pi\) | |||||||
\(348\) | −265.223 | − | 241.975i | −0.762136 | − | 0.695330i | ||||
\(349\) | − | 76.3386i | − | 0.218735i | −0.994001 | − | 0.109368i | \(-0.965117\pi\) | ||
0.994001 | − | 0.109368i | \(-0.0348826\pi\) | |||||||
\(350\) | −315.476 | − | 117.070i | −0.901361 | − | 0.334485i | ||||
\(351\) | −63.1127 | + | 117.407i | −0.179808 | + | 0.334493i | ||||
\(352\) | −37.9892 | + | 368.334i | −0.107924 | + | 1.04640i | ||||
\(353\) | 230.990 | − | 453.344i | 0.654364 | − | 1.28426i | −0.290524 | − | 0.956868i | \(-0.593830\pi\) |
0.944888 | − | 0.327393i | \(-0.106170\pi\) | |||||||
\(354\) | 109.559 | + | 24.0839i | 0.309490 | + | 0.0680337i | ||||
\(355\) | 49.1863 | − | 321.779i | 0.138553 | − | 0.906420i | ||||
\(356\) | 5.27734 | + | 9.12423i | 0.0148240 | + | 0.0256298i | ||||
\(357\) | 444.662 | − | 318.110i | 1.24555 | − | 0.891064i | ||||
\(358\) | 543.045 | − | 57.2899i | 1.51688 | − | 0.160028i | ||||
\(359\) | 101.008 | + | 139.026i | 0.281360 | + | 0.387259i | 0.926184 | − | 0.377072i | \(-0.123069\pi\) |
−0.644824 | + | 0.764331i | \(0.723069\pi\) | |||||||
\(360\) | −256.613 | + | 252.488i | −0.712813 | + | 0.701354i | ||||
\(361\) | −45.4718 | − | 33.0372i | −0.125961 | − | 0.0915158i | ||||
\(362\) | 262.876 | − | 455.724i | 0.726177 | − | 1.25891i | ||||
\(363\) | 36.7150 | + | 12.2278i | 0.101143 | + | 0.0336854i | ||||
\(364\) | −27.7325 | − | 129.974i | −0.0761881 | − | 0.357071i | ||||
\(365\) | 319.994 | + | 102.067i | 0.876695 | + | 0.279634i | ||||
\(366\) | −375.203 | + | 36.8031i | −1.02515 | + | 0.100555i | ||||
\(367\) | −131.017 | − | 257.135i | −0.356994 | − | 0.700641i | 0.640751 | − | 0.767748i | \(-0.278623\pi\) |
−0.997746 | + | 0.0671077i | \(0.978623\pi\) | |||||||
\(368\) | 141.280 | + | 114.043i | 0.383913 | + | 0.309899i | ||||
\(369\) | −256.165 | + | 341.922i | −0.694215 | + | 0.926617i | ||||
\(370\) | 354.120 | + | 388.743i | 0.957080 | + | 1.05066i | ||||
\(371\) | 41.7808 | + | 128.588i | 0.112617 | + | 0.346598i | ||||
\(372\) | 254.145 | − | 52.2814i | 0.683185 | − | 0.140541i | ||||
\(373\) | −176.724 | + | 27.9903i | −0.473790 | + | 0.0750409i | −0.388763 | − | 0.921338i | \(-0.627098\pi\) |
−0.0850266 | + | 0.996379i | \(0.527098\pi\) | |||||||
\(374\) | −224.363 | + | 585.165i | −0.599900 | + | 1.56461i | ||||
\(375\) | 335.622 | + | 167.281i | 0.894992 | + | 0.446082i | ||||
\(376\) | −252.448 | + | 129.000i | −0.671405 | + | 0.343086i | ||||
\(377\) | −145.884 | + | 23.1058i | −0.386961 | + | 0.0612886i | ||||
\(378\) | 352.985 | − | 86.4521i | 0.933822 | − | 0.228709i | ||||
\(379\) | −13.8896 | − | 42.7479i | −0.0366481 | − | 0.112791i | 0.931059 | − | 0.364869i | \(-0.118886\pi\) |
−0.967707 | + | 0.252078i | \(0.918886\pi\) | |||||||
\(380\) | 380.468 | − | 148.750i | 1.00123 | − | 0.391447i | ||||
\(381\) | 81.8321 | − | 157.734i | 0.214782 | − | 0.414001i | ||||
\(382\) | −217.860 | + | 97.0991i | −0.570314 | + | 0.254186i | ||||
\(383\) | −260.442 | − | 511.146i | −0.680006 | − | 1.33459i | −0.930437 | − | 0.366452i | \(-0.880572\pi\) |
0.250431 | − | 0.968134i | \(-0.419428\pi\) | |||||||
\(384\) | −331.665 | − | 193.531i | −0.863711 | − | 0.503987i | ||||
\(385\) | −370.964 | − | 118.324i | −0.963543 | − | 0.307336i | ||||
\(386\) | −93.2777 | + | 60.6268i | −0.241652 | + | 0.157064i | ||||
\(387\) | 273.510 | − | 517.875i | 0.706744 | − | 1.33818i | ||||
\(388\) | −326.852 | + | 265.101i | −0.842403 | + | 0.683251i | ||||
\(389\) | −401.369 | − | 291.612i | −1.03180 | − | 0.749644i | −0.0631292 | − | 0.998005i | \(-0.520108\pi\) |
−0.968667 | + | 0.248361i | \(0.920108\pi\) | |||||||
\(390\) | 15.2533 | + | 147.318i | 0.0391110 | + | 0.377740i | ||||
\(391\) | 180.623 | + | 248.606i | 0.461951 | + | 0.635822i | ||||
\(392\) | 17.4069 | − | 24.0175i | 0.0444054 | − | 0.0612690i | ||||
\(393\) | −94.5055 | − | 132.102i | −0.240472 | − | 0.336137i | ||||
\(394\) | −112.498 | − | 91.0264i | −0.285527 | − | 0.231031i | ||||
\(395\) | −5.71920 | + | 37.4152i | −0.0144790 | + | 0.0947221i | ||||
\(396\) | −283.014 | + | 305.673i | −0.714683 | + | 0.771903i | ||||
\(397\) | 80.7637 | − | 158.508i | 0.203435 | − | 0.399264i | −0.766637 | − | 0.642081i | \(-0.778071\pi\) |
0.970072 | + | 0.242817i | \(0.0780714\pi\) | |||||||
\(398\) | 274.378 | + | 58.2092i | 0.689391 | + | 0.146254i | ||||
\(399\) | −406.829 | − | 67.4971i | −1.01962 | − | 0.169166i | ||||
\(400\) | −78.3270 | + | 392.256i | −0.195817 | + | 0.980640i | ||||
\(401\) | − | 284.292i | − | 0.708959i | −0.935064 | − | 0.354479i | \(-0.884658\pi\) | ||
0.935064 | − | 0.354479i | \(-0.115342\pi\) | |||||||
\(402\) | 267.210 | + | 104.707i | 0.664701 | + | 0.260465i | ||||
\(403\) | 48.4617 | − | 95.1115i | 0.120252 | − | 0.236009i | ||||
\(404\) | −234.185 | + | 527.092i | −0.579666 | + | 1.30468i | ||||
\(405\) | −401.416 | + | 53.7641i | −0.991149 | + | 0.132751i | ||||
\(406\) | 313.053 | + | 253.304i | 0.771068 | + | 0.623902i | ||||
\(407\) | 430.268 | + | 430.268i | 1.05717 | + | 1.05717i | ||||
\(408\) | −456.714 | − | 462.382i | −1.11940 | − | 1.13329i | ||||
\(409\) | −59.4450 | − | 81.8190i | −0.145342 | − | 0.200047i | 0.730139 | − | 0.683299i | \(-0.239455\pi\) |
−0.875481 | + | 0.483252i | \(0.839455\pi\) | |||||||
\(410\) | −22.1013 | + | 474.193i | −0.0539056 | + | 1.15657i | ||||
\(411\) | 387.319 | + | 393.042i | 0.942382 | + | 0.956306i | ||||
\(412\) | −480.868 | + | 390.019i | −1.16716 | + | 0.946648i | ||||
\(413\) | −124.273 | − | 19.6830i | −0.300904 | − | 0.0476585i | ||||
\(414\) | 50.0443 | + | 198.035i | 0.120880 | + | 0.478345i | ||||
\(415\) | 2.27830 | + | 422.194i | 0.00548988 | + | 1.01734i | ||||
\(416\) | −147.376 | + | 56.9016i | −0.354270 | + | 0.136783i | ||||
\(417\) | −604.504 | + | 191.526i | −1.44965 | + | 0.459295i | ||||
\(418\) | 431.767 | − | 192.436i | 1.03294 | − | 0.460374i | ||||
\(419\) | −363.976 | − | 118.263i | −0.868677 | − | 0.282250i | −0.159429 | − | 0.987209i | \(-0.550965\pi\) |
−0.709248 | + | 0.704959i | \(0.750965\pi\) | |||||||
\(420\) | 270.540 | − | 299.766i | 0.644144 | − | 0.713730i | ||||
\(421\) | 72.7673 | + | 223.955i | 0.172844 | + | 0.531959i | 0.999528 | − | 0.0307069i | \(-0.00977585\pi\) |
−0.826685 | + | 0.562666i | \(0.809776\pi\) | |||||||
\(422\) | −523.143 | + | 471.409i | −1.23968 | + | 1.11708i | ||||
\(423\) | −314.243 | − | 54.5069i | −0.742892 | − | 0.128858i | ||||
\(424\) | 143.118 | − | 73.1328i | 0.337543 | − | 0.172483i | ||||
\(425\) | −300.820 | + | 606.485i | −0.707811 | + | 1.42702i | ||||
\(426\) | 336.922 | + | 197.654i | 0.790898 | + | 0.463977i | ||||
\(427\) | 417.663 | − | 66.1514i | 0.978134 | − | 0.154921i | ||||
\(428\) | −26.9185 | − | 69.9622i | −0.0628936 | − | 0.163463i | ||||
\(429\) | 25.5679 | + | 169.463i | 0.0595987 | + | 0.395018i | ||||
\(430\) | −71.7635 | − | 646.768i | −0.166892 | − | 1.50411i | ||||
\(431\) | −1.38406 | + | 4.25971i | −0.00321129 | + | 0.00988332i | −0.952649 | − | 0.304071i | \(-0.901654\pi\) |
0.949438 | + | 0.313954i | \(0.101654\pi\) | |||||||
\(432\) | −167.606 | − | 398.161i | −0.387977 | − | 0.921669i | ||||
\(433\) | −91.5915 | − | 179.759i | −0.211528 | − | 0.415147i | 0.760727 | − | 0.649072i | \(-0.224843\pi\) |
−0.972254 | + | 0.233926i | \(0.924843\pi\) | |||||||
\(434\) | −281.087 | + | 75.4343i | −0.647666 | + | 0.173812i | ||||
\(435\) | −316.717 | − | 317.946i | −0.728084 | − | 0.730910i | ||||
\(436\) | −91.1716 | − | 427.294i | −0.209109 | − | 0.980031i | ||||
\(437\) | 36.2593 | − | 228.932i | 0.0829732 | − | 0.523872i | ||||
\(438\) | −255.818 | + | 311.462i | −0.584060 | + | 0.711100i | ||||
\(439\) | −173.960 | − | 126.389i | −0.396265 | − | 0.287903i | 0.371753 | − | 0.928332i | \(-0.378757\pi\) |
−0.768018 | + | 0.640429i | \(0.778757\pi\) | |||||||
\(440\) | −69.4051 | + | 457.626i | −0.157739 | + | 1.04006i | ||||
\(441\) | 31.8844 | − | 9.84531i | 0.0723003 | − | 0.0223250i | ||||
\(442\) | −265.902 | + | 28.0520i | −0.601587 | + | 0.0634660i | ||||
\(443\) | 426.011 | − | 426.011i | 0.961651 | − | 0.961651i | −0.0376404 | − | 0.999291i | \(-0.511984\pi\) |
0.999291 | + | 0.0376404i | \(0.0119842\pi\) | |||||||
\(444\) | −590.582 | + | 222.273i | −1.33014 | + | 0.500614i | ||||
\(445\) | 6.04486 | + | 11.7071i | 0.0135840 | + | 0.0263081i | ||||
\(446\) | 32.3243 | − | 621.410i | 0.0724761 | − | 1.39330i | ||||
\(447\) | 511.435 | − | 693.183i | 1.14415 | − | 1.55074i | ||||
\(448\) | 384.227 | + | 194.645i | 0.857649 | + | 0.434476i | ||||
\(449\) | 362.650 | 0.807683 | 0.403842 | − | 0.914829i | \(-0.367675\pi\) | ||||
0.403842 | + | 0.914829i | \(0.367675\pi\) | |||||||
\(450\) | −335.462 | + | 299.942i | −0.745472 | + | 0.666537i | ||||
\(451\) | 549.307i | 1.21798i | ||||||||
\(452\) | 468.677 | + | 303.844i | 1.03690 | + | 0.672222i | ||||
\(453\) | 563.273 | + | 415.586i | 1.24343 | + | 0.917409i | ||||
\(454\) | 19.1430 | − | 368.010i | 0.0421652 | − | 0.810594i | ||||
\(455\) | −26.8726 | − | 163.936i | −0.0590607 | − | 0.360300i | ||||
\(456\) | −3.02262 | + | 490.206i | −0.00662856 | + | 1.07501i | ||||
\(457\) | −182.485 | − | 182.485i | −0.399310 | − | 0.399310i | 0.478680 | − | 0.877990i | \(-0.341116\pi\) |
−0.877990 | + | 0.478680i | \(0.841116\pi\) | |||||||
\(458\) | 684.095 | − | 72.1704i | 1.49366 | − | 0.157577i | ||||
\(459\) | −98.4642 | − | 724.490i | −0.214519 | − | 1.57841i | ||||
\(460\) | 169.596 | + | 150.819i | 0.368686 | + | 0.327867i | ||||
\(461\) | 106.089 | − | 146.019i | 0.230128 | − | 0.316744i | −0.678300 | − | 0.734785i | \(-0.737283\pi\) |
0.908428 | + | 0.418041i | \(0.137283\pi\) | |||||||
\(462\) | 296.566 | − | 361.073i | 0.641918 | − | 0.781544i | ||||
\(463\) | −522.527 | − | 82.7602i | −1.12857 | − | 0.178748i | −0.435894 | − | 0.899998i | \(-0.643568\pi\) |
−0.692675 | + | 0.721250i | \(0.743568\pi\) | |||||||
\(464\) | 238.701 | − | 414.932i | 0.514442 | − | 0.894251i | ||||
\(465\) | 320.438 | − | 50.1164i | 0.689114 | − | 0.107777i | ||||
\(466\) | 420.033 | − | 112.723i | 0.901358 | − | 0.241894i | ||||
\(467\) | −30.5027 | + | 15.5419i | −0.0653163 | + | 0.0332803i | −0.486344 | − | 0.873768i | \(-0.661670\pi\) |
0.421027 | + | 0.907048i | \(0.361670\pi\) | |||||||
\(468\) | −171.016 | − | 48.3788i | −0.365419 | − | 0.103374i | ||||
\(469\) | −306.152 | − | 99.4749i | −0.652777 | − | 0.212100i | ||||
\(470\) | −322.896 | + | 146.007i | −0.687014 | + | 0.310653i | ||||
\(471\) | 70.9734 | − | 10.7082i | 0.150687 | − | 0.0227350i | ||||
\(472\) | 0.174551 | + | 149.567i | 0.000369811 | + | 0.316879i | ||||
\(473\) | −117.795 | − | 743.729i | −0.249038 | − | 1.57237i | ||||
\(474\) | −39.1760 | − | 22.9825i | −0.0826499 | − | 0.0484862i | ||||
\(475\) | 483.917 | − | 163.029i | 1.01877 | − | 0.343218i | ||||
\(476\) | 542.116 | + | 487.360i | 1.13890 | + | 1.02387i | ||||
\(477\) | 178.151 | + | 30.9010i | 0.373482 | + | 0.0647821i | ||||
\(478\) | 258.252 | − | 232.714i | 0.540277 | − | 0.486848i | ||||
\(479\) | −113.308 | + | 36.8160i | −0.236551 | + | 0.0768600i | −0.424893 | − | 0.905243i | \(-0.639688\pi\) |
0.188343 | + | 0.982103i | \(0.439688\pi\) | |||||||
\(480\) | −402.564 | − | 261.423i | −0.838675 | − | 0.544632i | ||||
\(481\) | −80.2230 | + | 246.901i | −0.166784 | + | 0.513307i | ||||
\(482\) | −622.348 | + | 277.377i | −1.29118 | + | 0.575471i | ||||
\(483\) | −69.1993 | − | 218.410i | −0.143270 | − | 0.452195i | ||||
\(484\) | −5.35342 | + | 51.3184i | −0.0110608 | + | 0.106030i | ||||
\(485\) | −423.914 | + | 311.501i | −0.874050 | + | 0.642270i | ||||
\(486\) | 118.220 | − | 471.402i | 0.243250 | − | 0.969964i | ||||
\(487\) | −27.8561 | + | 175.877i | −0.0571994 | + | 0.361143i | 0.942442 | + | 0.334369i | \(0.108523\pi\) |
−0.999642 | + | 0.0267736i | \(0.991477\pi\) | |||||||
\(488\) | −155.892 | − | 477.888i | −0.319451 | − | 0.979278i | ||||
\(489\) | 431.160 | − | 424.883i | 0.881718 | − | 0.868881i | ||||
\(490\) | 23.1666 | − | 28.9492i | 0.0472788 | − | 0.0590800i | ||||
\(491\) | 141.093 | − | 102.510i | 0.287358 | − | 0.208778i | −0.434762 | − | 0.900545i | \(-0.643168\pi\) |
0.722120 | + | 0.691767i | \(0.243168\pi\) | |||||||
\(492\) | −518.870 | − | 235.103i | −1.05461 | − | 0.477852i | ||||
\(493\) | 572.882 | − | 572.882i | 1.16203 | − | 1.16203i | ||||
\(494\) | 156.782 | + | 126.859i | 0.317372 | + | 0.256799i | ||||
\(495\) | −371.600 | + | 364.773i | −0.750706 | + | 0.736916i | ||||
\(496\) | 141.204 | + | 315.827i | 0.284686 | + | 0.636748i | ||||
\(497\) | −390.387 | − | 198.912i | −0.785488 | − | 0.400226i | ||||
\(498\) | −471.717 | − | 184.844i | −0.947224 | − | 0.371172i | ||||
\(499\) | 6.71845 | 0.0134638 | 0.00673191 | − | 0.999977i | \(-0.497857\pi\) | ||||
0.00673191 | + | 0.999977i | \(0.497857\pi\) | |||||||
\(500\) | −121.197 | + | 485.089i | −0.242394 | + | 0.970178i | ||||
\(501\) | −63.8265 | + | 384.705i | −0.127398 | + | 0.767874i | ||||
\(502\) | 191.518 | + | 40.6305i | 0.381509 | + | 0.0809372i | ||||
\(503\) | 647.290 | + | 329.811i | 1.28686 | + | 0.655688i | 0.957477 | − | 0.288509i | \(-0.0931595\pi\) |
0.329382 | + | 0.944197i | \(0.393160\pi\) | |||||||
\(504\) | 214.136 | + | 434.673i | 0.424873 | + | 0.862447i | ||||
\(505\) | −323.841 | + | 644.144i | −0.641270 | + | 1.27553i | ||||
\(506\) | 204.160 | + | 165.194i | 0.403478 | + | 0.326470i | ||||
\(507\) | 352.879 | − | 252.449i | 0.696013 | − | 0.497926i | ||||
\(508\) | 228.905 | + | 61.1441i | 0.450601 | + | 0.120362i | ||||
\(509\) | −291.257 | + | 211.610i | −0.572214 | + | 0.415738i | −0.835909 | − | 0.548868i | \(-0.815059\pi\) |
0.263695 | + | 0.964606i | \(0.415059\pi\) | |||||||
\(510\) | −542.659 | − | 604.563i | −1.06404 | − | 1.18542i | ||||
\(511\) | 265.730 | − | 365.746i | 0.520020 | − | 0.715747i | ||||
\(512\) | 156.511 | − | 487.492i | 0.305685 | − | 0.952133i | ||||
\(513\) | −333.895 | + | 438.928i | −0.650867 | + | 0.855610i | ||||
\(514\) | 166.798 | − | 108.412i | 0.324511 | − | 0.210919i | ||||
\(515\) | −623.666 | + | 458.282i | −1.21100 | + | 0.889869i | ||||
\(516\) | 752.936 | + | 207.048i | 1.45918 | + | 0.401255i | ||||
\(517\) | −365.368 | + | 186.164i | −0.706708 | + | 0.360086i | ||||
\(518\) | 646.490 | − | 288.137i | 1.24805 | − | 0.556250i | ||||
\(519\) | 550.516 | + | 285.606i | 1.06073 | + | 0.550301i | ||||
\(520\) | −187.405 | + | 62.2544i | −0.360394 | + | 0.119720i | ||||
\(521\) | 83.9836 | − | 27.2879i | 0.161197 | − | 0.0523761i | −0.227307 | − | 0.973823i | \(-0.572992\pi\) |
0.388504 | + | 0.921447i | \(0.372992\pi\) | |||||||
\(522\) | 495.048 | − | 211.994i | 0.948369 | − | 0.406119i | ||||
\(523\) | −33.5064 | − | 211.551i | −0.0640658 | − | 0.404496i | −0.998792 | − | 0.0491282i | \(-0.984356\pi\) |
0.934727 | − | 0.355368i | \(-0.115644\pi\) | |||||||
\(524\) | 144.787 | − | 161.054i | 0.276311 | − | 0.307355i | ||||
\(525\) | 355.673 | − | 358.142i | 0.677472 | − | 0.682176i | ||||
\(526\) | −76.9038 | + | 200.575i | −0.146205 | + | 0.381320i | ||||
\(527\) | 91.5959 | + | 578.314i | 0.173806 | + | 1.09737i | ||||
\(528\) | −479.405 | − | 280.490i | −0.907964 | − | 0.531231i | ||||
\(529\) | −380.639 | + | 123.677i | −0.719544 | + | 0.233794i | ||||
\(530\) | 183.056 | − | 82.7742i | 0.345389 | − | 0.156178i | ||||
\(531\) | −100.888 | + | 134.663i | −0.189997 | + | 0.253602i | ||||
\(532\) | −29.2043 | − | 549.078i | −0.0548954 | − | 1.03210i | ||||
\(533\) | −208.813 | + | 106.396i | −0.391770 | + | 0.199617i | ||||
\(534\) | −15.7352 | + | 1.54344i | −0.0294667 | + | 0.00289035i | ||||
\(535\) | −29.4362 | − | 88.9589i | −0.0550209 | − | 0.166278i | ||||
\(536\) | −59.4196 | + | 378.015i | −0.110857 | + | 0.705252i | ||||
\(537\) | −258.817 | + | 777.121i | −0.481969 | + | 1.44715i | ||||
\(538\) | −98.3843 | + | 170.560i | −0.182870 | + | 0.317026i | ||||
\(539\) | 25.2185 | − | 34.7103i | 0.0467876 | − | 0.0643976i | ||||
\(540\) | −185.517 | − | 507.133i | −0.343550 | − | 0.939134i | ||||
\(541\) | 274.814 | − | 199.664i | 0.507973 | − | 0.369064i | −0.304081 | − | 0.952646i | \(-0.598349\pi\) |
0.812054 | + | 0.583582i | \(0.198349\pi\) | |||||||
\(542\) | 1047.30 | − | 110.487i | 1.93228 | − | 0.203851i | ||||
\(543\) | 459.163 | + | 641.828i | 0.845604 | + | 1.18200i | ||||
\(544\) | 470.542 | − | 727.665i | 0.864966 | − | 1.33762i | ||||
\(545\) | −88.3447 | − | 538.947i | −0.162100 | − | 0.988894i | ||||
\(546\) | 194.700 | + | 42.8000i | 0.356594 | + | 0.0783884i | ||||
\(547\) | −563.495 | − | 287.115i | −1.03016 | − | 0.524890i | −0.144632 | − | 0.989485i | \(-0.546200\pi\) |
−0.885523 | + | 0.464595i | \(0.846200\pi\) | |||||||
\(548\) | −400.238 | + | 617.364i | −0.730362 | + | 1.12658i | ||||
\(549\) | 182.620 | − | 535.207i | 0.332640 | − | 0.974877i | ||||
\(550\) | −113.957 | + | 567.241i | −0.207194 | + | 1.03135i | ||||
\(551\) | −611.101 | −1.10908 | ||||||||
\(552\) | −243.421 | + | 122.144i | −0.440980 | + | 0.221276i | ||||
\(553\) | 45.3927 | + | 23.1288i | 0.0820845 | + | 0.0418242i | ||||
\(554\) | −32.6884 | + | 628.410i | −0.0590044 | + | 1.13431i | ||||
\(555\) | −750.646 | + | 242.293i | −1.35251 | + | 0.436564i | ||||
\(556\) | −423.316 | − | 731.889i | −0.761360 | − | 1.31635i | ||||
\(557\) | 451.201 | − | 451.201i | 0.810056 | − | 0.810056i | −0.174586 | − | 0.984642i | \(-0.555859\pi\) |
0.984642 | + | 0.174586i | \(0.0558587\pi\) | |||||||
\(558\) | −86.3460 | + | 379.501i | −0.154742 | + | 0.680110i | ||||
\(559\) | 259.905 | − | 188.832i | 0.464946 | − | 0.337803i | ||||
\(560\) | 468.125 | + | 265.950i | 0.835937 | + | 0.474911i | ||||
\(561\) | −659.827 | − | 669.576i | −1.17616 | − | 1.19354i | ||||
\(562\) | −213.340 | − | 123.061i | −0.379609 | − | 0.218970i | ||||
\(563\) | −28.2016 | + | 178.058i | −0.0500917 | + | 0.316266i | 0.949901 | + | 0.312550i | \(0.101183\pi\) |
−0.999993 | + | 0.00371664i | \(0.998817\pi\) | |||||||
\(564\) | −19.4716 | − | 424.801i | −0.0345241 | − | 0.753194i | ||||
\(565\) | 567.053 | + | 407.331i | 1.00363 | + | 0.720940i | ||||
\(566\) | −7.62295 | + | 2.04574i | −0.0134681 | + | 0.00361438i | ||||
\(567\) | −101.030 | + | 535.682i | −0.178184 | + | 0.944766i | ||||
\(568\) | −160.366 | + | 495.523i | −0.282335 | + | 0.872400i | ||||
\(569\) | −196.241 | + | 603.968i | −0.344887 | + | 1.06145i | 0.616757 | + | 0.787154i | \(0.288446\pi\) |
−0.961644 | + | 0.274300i | \(0.911554\pi\) | |||||||
\(570\) | −33.0169 | + | 611.879i | −0.0579244 | + | 1.07347i | ||||
\(571\) | 719.823 | − | 233.885i | 1.26064 | − | 0.409605i | 0.398915 | − | 0.916988i | \(-0.369387\pi\) |
0.861721 | + | 0.507382i | \(0.169387\pi\) | |||||||
\(572\) | −213.266 | + | 82.0557i | −0.372843 | + | 0.143454i | ||||
\(573\) | 2.62356 | − | 357.769i | 0.00457864 | − | 0.624378i | ||||
\(574\) | 596.602 | + | 228.748i | 1.03938 | + | 0.398515i | ||||
\(575\) | 202.756 | + | 198.426i | 0.352619 | + | 0.345089i | ||||
\(576\) | 470.133 | − | 332.792i | 0.816204 | − | 0.577764i | ||||
\(577\) | 55.4783 | + | 350.276i | 0.0961496 | + | 0.607065i | 0.987966 | + | 0.154668i | \(0.0494308\pi\) |
−0.891817 | + | 0.452396i | \(0.850569\pi\) | |||||||
\(578\) | 660.137 | − | 594.855i | 1.14211 | − | 1.02916i | ||||
\(579\) | −24.8955 | − | 165.006i | −0.0429973 | − | 0.284984i | ||||
\(580\) | 322.789 | − | 503.835i | 0.556533 | − | 0.868681i | ||||
\(581\) | 540.464 | + | 175.607i | 0.930231 | + | 0.302250i | ||||
\(582\) | −159.146 | − | 610.879i | −0.273447 | − | 1.04962i | ||||
\(583\) | 207.134 | − | 105.540i | 0.355290 | − | 0.181029i | ||||
\(584\) | −479.115 | − | 243.417i | −0.820402 | − | 0.416810i | ||||
\(585\) | −210.640 | − | 70.6065i | −0.360069 | − | 0.120695i | ||||
\(586\) | −480.057 | − | 738.593i | −0.819209 | − | 1.26040i | ||||
\(587\) | −311.002 | − | 49.2579i | −0.529816 | − | 0.0839147i | −0.114205 | − | 0.993457i | \(-0.536432\pi\) |
−0.415611 | + | 0.909542i | \(0.636432\pi\) | |||||||
\(588\) | 21.9935 | + | 38.6772i | 0.0374039 | + | 0.0657775i | ||||
\(589\) | 259.594 | − | 357.300i | 0.440737 | − | 0.606622i | ||||
\(590\) | −8.70439 | + | 186.756i | −0.0147532 | + | 0.316536i | ||||
\(591\) | 194.126 | − | 97.1259i | 0.328471 | − | 0.164342i | ||||
\(592\) | −459.338 | − | 704.915i | −0.775909 | − | 1.19073i | ||||
\(593\) | −19.7204 | − | 19.7204i | −0.0332554 | − | 0.0332554i | 0.690284 | − | 0.723539i | \(-0.257486\pi\) |
−0.723539 | + | 0.690284i | \(0.757486\pi\) | |||||||
\(594\) | −241.759 | − | 576.197i | −0.407002 | − | 0.970028i | ||||
\(595\) | 647.800 | + | 640.846i | 1.08874 | + | 1.07705i | ||||
\(596\) | 1049.64 | + | 466.352i | 1.76114 | + | 0.782471i | ||||
\(597\) | −249.786 | + | 338.552i | −0.418402 | + | 0.567089i | ||||
\(598\) | −23.2529 | + | 109.606i | −0.0388844 | + | 0.183287i | ||||
\(599\) | − | 1061.57i | − | 1.77224i | −0.463453 | − | 0.886121i | \(-0.653390\pi\) | ||
0.463453 | − | 0.886121i | \(-0.346610\pi\) | |||||||
\(600\) | −487.037 | − | 350.422i | −0.811728 | − | 0.584036i | ||||
\(601\) | 594.727 | 0.989562 | 0.494781 | − | 0.869018i | \(-0.335248\pi\) | ||||
0.494781 | + | 0.869018i | \(0.335248\pi\) | |||||||
\(602\) | −856.816 | − | 181.774i | −1.42328 | − | 0.301950i | ||||
\(603\) | −308.833 | + | 299.905i | −0.512161 | + | 0.497354i | ||||
\(604\) | −378.953 | + | 852.927i | −0.627405 | + | 1.41213i | ||||
\(605\) | −9.74552 | + | 63.7556i | −0.0161083 | + | 0.105381i | ||||
\(606\) | −574.427 | − | 646.945i | −0.947900 | − | 1.06757i | ||||
\(607\) | −160.111 | + | 160.111i | −0.263774 | + | 0.263774i | −0.826585 | − | 0.562811i | \(-0.809720\pi\) |
0.562811 | + | 0.826585i | \(0.309720\pi\) | |||||||
\(608\) | −639.071 | + | 137.139i | −1.05110 | + | 0.225557i | ||||
\(609\) | −540.206 | + | 270.277i | −0.887038 | + | 0.443805i | ||||
\(610\) | −166.135 | − | 605.979i | −0.272352 | − | 0.993408i | ||||
\(611\) | −141.537 | − | 102.833i | −0.231648 | − | 0.168302i | ||||
\(612\) | 914.881 | − | 336.688i | 1.49490 | − | 0.550144i | ||||
\(613\) | 54.9793 | − | 347.126i | 0.0896889 | − | 0.566273i | −0.901391 | − | 0.433006i | \(-0.857453\pi\) |
0.991080 | − | 0.133268i | \(-0.0425470\pi\) | |||||||
\(614\) | −295.841 | + | 192.285i | −0.481826 | + | 0.313168i | ||||
\(615\) | −633.824 | − | 324.497i | −1.03061 | − | 0.527638i | ||||
\(616\) | 555.430 | + | 282.190i | 0.901673 | + | 0.458101i | ||||
\(617\) | 62.0869 | + | 121.852i | 0.100627 | + | 0.197492i | 0.935831 | − | 0.352448i | \(-0.114651\pi\) |
−0.835204 | + | 0.549940i | \(0.814651\pi\) | |||||||
\(618\) | −234.137 | − | 898.729i | −0.378863 | − | 1.45425i | ||||
\(619\) | 214.463 | − | 660.048i | 0.346466 | − | 1.06631i | −0.614328 | − | 0.789051i | \(-0.710573\pi\) |
0.960794 | − | 0.277263i | \(-0.0894273\pi\) | |||||||
\(620\) | 157.464 | + | 402.757i | 0.253974 | + | 0.649609i | ||||
\(621\) | −301.491 | − | 54.5752i | −0.485492 | − | 0.0878827i | ||||
\(622\) | −125.347 | − | 139.103i | −0.201523 | − | 0.223638i | ||||
\(623\) | 17.5159 | − | 2.77425i | 0.0281154 | − | 0.00445304i | ||||
\(624\) | 13.7689 | − | 236.569i | 0.0220655 | − | 0.379117i | ||||
\(625\) | −180.261 | + | 598.440i | −0.288418 | + | 0.957505i | ||||
\(626\) | 84.2178 | − | 219.650i | 0.134533 | − | 0.350879i | ||||
\(627\) | −5.19951 | + | 709.045i | −0.00829269 | + | 1.13085i | ||||
\(628\) | 34.3661 | + | 89.3190i | 0.0547231 | + | 0.142228i | ||||
\(629\) | −440.038 | − | 1354.30i | −0.699583 | − | 2.15310i | ||||
\(630\) | 241.435 | + | 555.496i | 0.383230 | + | 0.881740i | ||||
\(631\) | 130.183 | + | 42.2990i | 0.206312 | + | 0.0670349i | 0.410350 | − | 0.911928i | \(-0.365407\pi\) |
−0.204038 | + | 0.978963i | \(0.565407\pi\) | |||||||
\(632\) | 18.6467 | − | 57.6175i | 0.0295043 | − | 0.0911669i | ||||
\(633\) | −319.042 | − | 1006.98i | −0.504015 | − | 1.59080i | ||||
\(634\) | 182.497 | + | 680.031i | 0.287851 | + | 1.07260i | ||||
\(635\) | 282.158 | + | 89.9983i | 0.444343 | + | 0.141730i | ||||
\(636\) | 11.0388 | + | 240.828i | 0.0173567 | + | 0.378661i | ||||
\(637\) | 18.0794 | + | 2.86349i | 0.0283820 | + | 0.00449527i | ||||
\(638\) | 345.966 | − | 599.770i | 0.542267 | − | 0.940078i | ||||
\(639\) | −479.027 | + | 337.412i | −0.749651 | + | 0.528031i | ||||
\(640\) | 224.497 | − | 599.334i | 0.350776 | − | 0.936459i | ||||
\(641\) | 619.769 | + | 853.039i | 0.966878 | + | 1.33079i | 0.943608 | + | 0.331064i | \(0.107408\pi\) |
0.0232698 | + | 0.999729i | \(0.492592\pi\) | |||||||
\(642\) | 112.245 | + | 6.66440i | 0.174837 | + | 0.0103807i | ||||
\(643\) | −433.020 | − | 433.020i | −0.673438 | − | 0.673438i | 0.285069 | − | 0.958507i | \(-0.407983\pi\) |
−0.958507 | + | 0.285069i | \(0.907983\pi\) | |||||||
\(644\) | 264.435 | − | 152.946i | 0.410613 | − | 0.237494i | ||||
\(645\) | 927.746 | + | 303.431i | 1.43837 | + | 0.470435i | ||||
\(646\) | −1104.74 | − | 57.4662i | −1.71013 | − | 0.0889570i | ||||
\(647\) | −89.4559 | + | 175.567i | −0.138263 | + | 0.271356i | −0.949747 | − | 0.313018i | \(-0.898660\pi\) |
0.811484 | + | 0.584374i | \(0.198660\pi\) | |||||||
\(648\) | 647.743 | + | 18.2484i | 0.999603 | + | 0.0281612i | ||||
\(649\) | 216.339i | 0.333342i | ||||||||
\(650\) | −237.703 | + | 66.5498i | −0.365697 | + | 0.102384i | ||||
\(651\) | 71.4514 | − | 430.663i | 0.109756 | − | 0.661540i | ||||
\(652\) | 677.238 | + | 439.055i | 1.03871 | + | 0.673397i | ||||
\(653\) | −129.646 | + | 254.444i | −0.198538 | + | 0.389653i | −0.968714 | − | 0.248178i | \(-0.920168\pi\) |
0.770176 | + | 0.637831i | \(0.220168\pi\) | |||||||
\(654\) | 640.085 | + | 140.707i | 0.978723 | + | 0.215148i | ||||
\(655\) | 190.385 | − | 192.451i | 0.290664 | − | 0.293819i | ||||
\(656\) | 156.759 | − | 743.179i | 0.238962 | − | 1.13289i | ||||
\(657\) | −266.544 | − | 542.651i | −0.405698 | − | 0.825953i | ||||
\(658\) | 50.0428 | + | 474.350i | 0.0760528 | + | 0.720897i | ||||
\(659\) | 367.713 | + | 506.113i | 0.557986 | + | 0.768002i | 0.991069 | − | 0.133352i | \(-0.0425742\pi\) |
−0.433083 | + | 0.901354i | \(0.642574\pi\) | |||||||
\(660\) | −581.841 | − | 378.811i | −0.881578 | − | 0.573957i | ||||
\(661\) | −428.790 | − | 311.534i | −0.648699 | − | 0.471308i | 0.214129 | − | 0.976805i | \(-0.431309\pi\) |
−0.862828 | + | 0.505498i | \(0.831309\pi\) | |||||||
\(662\) | 1110.43 | + | 640.531i | 1.67739 | + | 0.967570i | ||||
\(663\) | 126.730 | − | 380.517i | 0.191146 | − | 0.573932i | ||||
\(664\) | 104.896 | − | 667.327i | 0.157976 | − | 1.00501i | ||||
\(665\) | −3.70894 | − | 687.307i | −0.00557735 | − | 1.03354i | ||||
\(666\) | 63.0275 | − | 944.436i | 0.0946360 | − | 1.41807i | ||||
\(667\) | −154.133 | − | 302.503i | −0.231084 | − | 0.453528i | ||||
\(668\) | −519.217 | + | 27.6161i | −0.777272 | + | 0.0413415i | ||||
\(669\) | 828.514 | + | 429.831i | 1.23844 | + | 0.642497i | ||||
\(670\) | −96.7401 | + | 468.436i | −0.144388 | + | 0.699158i | ||||
\(671\) | −224.681 | − | 691.496i | −0.334845 | − | 1.03055i | ||||
\(672\) | −504.278 | + | 403.877i | −0.750414 | + | 0.601008i | ||||
\(673\) | −797.412 | + | 126.298i | −1.18486 | + | 0.187664i | −0.717600 | − | 0.696455i | \(-0.754759\pi\) |
−0.467262 | + | 0.884119i | \(0.654759\pi\) | |||||||
\(674\) | −816.059 | − | 312.892i | −1.21077 | − | 0.464231i | ||||
\(675\) | −201.379 | − | 644.260i | −0.298340 | − | 0.954460i | ||||
\(676\) | 430.217 | + | 386.764i | 0.636416 | + | 0.572136i | ||||
\(677\) | −265.303 | + | 42.0199i | −0.391880 | + | 0.0620677i | −0.349265 | − | 0.937024i | \(-0.613569\pi\) |
−0.0426149 | + | 0.999092i | \(0.513569\pi\) | |||||||
\(678\) | −705.813 | + | 451.423i | −1.04102 | + | 0.665816i | ||||
\(679\) | 218.805 | + | 673.413i | 0.322246 | + | 0.991771i | ||||
\(680\) | 630.915 | − | 880.475i | 0.927817 | − | 1.29482i | ||||
\(681\) | 490.660 | + | 254.553i | 0.720499 | + | 0.373793i | ||||
\(682\) | 203.710 | + | 457.061i | 0.298695 | + | 0.670178i | ||||
\(683\) | −261.682 | − | 513.580i | −0.383136 | − | 0.751947i | 0.616229 | − | 0.787567i | \(-0.288659\pi\) |
−0.999365 | + | 0.0356199i | \(0.988659\pi\) | |||||||
\(684\) | −667.532 | − | 308.383i | −0.975924 | − | 0.450852i | ||||
\(685\) | −536.556 | + | 746.950i | −0.783294 | + | 1.09044i | ||||
\(686\) | −386.621 | − | 594.837i | −0.563587 | − | 0.867110i | ||||
\(687\) | −326.043 | + | 978.972i | −0.474589 | + | 1.42499i | ||||
\(688\) | −52.8731 | + | 1039.84i | −0.0768505 | + | 1.51139i | ||||
\(689\) | 80.2400 | + | 58.2978i | 0.116459 | + | 0.0846122i | ||||
\(690\) | −311.216 | + | 137.985i | −0.451037 | + | 0.199979i | ||||
\(691\) | 9.96384 | + | 13.7140i | 0.0144194 | + | 0.0198467i | 0.816166 | − | 0.577818i | \(-0.196096\pi\) |
−0.801746 | + | 0.597664i | \(0.796096\pi\) | |||||||
\(692\) | −213.402 | + | 798.913i | −0.308385 | + | 1.15450i | ||||
\(693\) | 309.000 | + | 629.088i | 0.445888 | + | 0.907774i | ||||
\(694\) | −383.540 | + | 474.009i | −0.552651 | + | 0.683010i | ||||
\(695\) | −484.882 | − | 939.072i | −0.697672 | − | 1.35118i | ||||
\(696\) | 418.463 | + | 583.498i | 0.601240 | + | 0.838359i | ||||
\(697\) | 583.600 | − | 1145.38i | 0.837303 | − | 1.64330i | ||||
\(698\) | −31.6853 | + | 149.353i | −0.0453944 | + | 0.213973i | ||||
\(699\) | −106.771 | + | 643.546i | −0.152748 | + | 0.920667i | ||||
\(700\) | 568.624 | + | 359.984i | 0.812321 | + | 0.514263i | ||||
\(701\) | − | 362.304i | − | 0.516839i | −0.966033 | − | 0.258419i | \(-0.916798\pi\) | ||
0.966033 | − | 0.258419i | \(-0.0832017\pi\) | |||||||
\(702\) | 172.209 | − | 203.506i | 0.245311 | − | 0.289895i | ||||
\(703\) | −487.626 | + | 957.021i | −0.693636 | + | 1.36134i | ||||
\(704\) | 227.206 | − | 704.861i | 0.322735 | − | 1.00122i | ||||
\(705\) | 1.02947 | − | 531.558i | 0.00146025 | − | 0.753983i | ||||
\(706\) | −640.089 | + | 791.073i | −0.906641 | + | 1.12050i | ||||
\(707\) | 686.187 | + | 686.187i | 0.970562 | + | 0.970562i | ||||
\(708\) | −204.352 | − | 92.5932i | −0.288633 | − | 0.130781i | ||||
\(709\) | 325.213 | + | 447.618i | 0.458693 | + | 0.631337i | 0.974237 | − | 0.225526i | \(-0.0724101\pi\) |
−0.515544 | + | 0.856863i | \(0.672410\pi\) | |||||||
\(710\) | −229.789 | + | 609.131i | −0.323647 | + | 0.857932i | ||||
\(711\) | 55.6994 | − | 39.2330i | 0.0783395 | − | 0.0551800i | ||||
\(712\) | −6.53777 | − | 20.0416i | −0.00918227 | − | 0.0281483i | ||||
\(713\) | 242.344 | + | 38.3835i | 0.339893 | + | 0.0538338i | ||||
\(714\) | −1002.00 | + | 437.806i | −1.40336 | + | 0.613174i | ||||
\(715\) | −271.174 | + | 89.7305i | −0.379265 | + | 0.125497i | ||||
\(716\) | −1086.22 | − | 113.312i | −1.51707 | − | 0.158257i | ||||
\(717\) | 157.497 | + | 497.099i | 0.219661 | + | 0.693304i | ||||
\(718\) | −139.914 | − | 313.923i | −0.194866 | − | 0.437219i | ||||
\(719\) | −446.805 | − | 145.176i | −0.621425 | − | 0.201913i | −0.0186523 | − | 0.999826i | \(-0.505938\pi\) |
−0.602773 | + | 0.797913i | \(0.705938\pi\) | |||||||
\(720\) | 606.850 | − | 387.471i | 0.842847 | − | 0.538154i | ||||
\(721\) | 321.908 | + | 990.730i | 0.446474 | + | 1.37411i | ||||
\(722\) | 75.2511 | + | 83.5095i | 0.104226 | + | 0.115664i | ||||
\(723\) | 7.49457 | − | 1022.02i | 0.0103659 | − | 1.41358i | ||||
\(724\) | −703.460 | + | 782.495i | −0.971630 | + | 1.08079i | ||||
\(725\) | 433.083 | − | 609.820i | 0.597355 | − | 0.841131i | ||||
\(726\) | −66.7560 | − | 39.1622i | −0.0919505 | − | 0.0539424i | ||||
\(727\) | 2.55028 | − | 0.403924i | 0.00350795 | − | 0.000555604i | −0.154680 | − | 0.987965i | \(-0.549435\pi\) |
0.158188 | + | 0.987409i | \(0.449435\pi\) | |||||||
\(728\) | 0.310198 | + | 265.799i | 0.000426096 | + | 0.365108i | ||||
\(729\) | 570.356 | + | 454.021i | 0.782381 | + | 0.622800i | ||||
\(730\) | −583.690 | − | 332.506i | −0.799575 | − | 0.455488i | ||||
\(731\) | −544.541 | + | 1675.93i | −0.744927 | + | 2.29265i | ||||
\(732\) | 749.345 | + | 83.7290i | 1.02369 | + | 0.114384i | ||||
\(733\) | −108.406 | − | 212.759i | −0.147894 | − | 0.290258i | 0.805161 | − | 0.593056i | \(-0.202079\pi\) |
−0.953054 | + | 0.302799i | \(0.902079\pi\) | |||||||
\(734\) | 149.602 | + | 557.454i | 0.203817 | + | 0.759474i | ||||
\(735\) | 25.1533 | + | 49.6034i | 0.0342222 | + | 0.0674876i | ||||
\(736\) | −229.073 | − | 281.760i | −0.311241 | − | 0.382826i | ||||
\(737\) | −86.5846 | + | 546.674i | −0.117483 | + | 0.741755i | ||||
\(738\) | 643.095 | − | 562.630i | 0.871403 | − | 0.762372i | ||||
\(739\) | 789.537 | + | 573.632i | 1.06839 | + | 0.776228i | 0.975621 | − | 0.219460i | \(-0.0704296\pi\) |
0.0927645 | + | 0.995688i | \(0.470430\pi\) | |||||||
\(740\) | −531.467 | − | 907.541i | −0.718199 | − | 1.22641i | ||||
\(741\) | −270.543 | + | 135.359i | −0.365106 | + | 0.182671i | ||||
\(742\) | −28.3702 | − | 268.918i | −0.0382348 | − | 0.362424i | ||||
\(743\) | −1046.04 | + | 1046.04i | −1.40787 | + | 1.40787i | −0.637009 | + | 0.770856i | \(0.719829\pi\) |
−0.770856 | + | 0.637009i | \(0.780171\pi\) | |||||||
\(744\) | −518.924 | − | 3.19970i | −0.697478 | − | 0.00430067i | ||||
\(745\) | 1282.74 | + | 644.892i | 1.72179 | + | 0.865627i | ||||
\(746\) | 357.370 | + | 18.5895i | 0.479048 | + | 0.0249190i | ||||
\(747\) | 545.196 | − | 529.435i | 0.729848 | − | 0.708748i | ||||
\(748\) | 681.836 | − | 1051.73i | 0.911545 | − | 1.40605i | ||||
\(749\) | −126.123 | −0.168388 | ||||||||
\(750\) | −587.198 | − | 466.582i | −0.782931 | − | 0.622109i | ||||
\(751\) | 179.154i | 0.238554i | 0.992861 | + | 0.119277i | \(0.0380577\pi\) | ||||
−0.992861 | + | 0.119277i | \(0.961942\pi\) | |||||||
\(752\) | 547.448 | − | 147.602i | 0.727989 | − | 0.196279i | ||||
\(753\) | −174.353 | + | 236.312i | −0.231544 | + | 0.313827i | ||||
\(754\) | 295.007 | + | 15.3456i | 0.391256 | + | 0.0203522i | ||||
\(755\) | −524.032 | + | 1042.34i | −0.694082 | + | 1.38058i | ||||
\(756\) | −726.482 | + | 22.6292i | −0.960955 | + | 0.0299328i | ||||
\(757\) | −354.231 | − | 354.231i | −0.467940 | − | 0.467940i | 0.433307 | − | 0.901247i | \(-0.357347\pi\) |
−0.901247 | + | 0.433307i | \(0.857347\pi\) | |||||||
\(758\) | 9.43142 | + | 89.3994i | 0.0124425 | + | 0.117941i | ||||
\(759\) | −352.298 | + | 176.263i | −0.464161 | + | 0.232231i | ||||
\(760\) | −806.110 | + | 133.104i | −1.06067 | + | 0.175137i | ||||
\(761\) | 720.104 | − | 991.137i | 0.946260 | − | 1.30241i | −0.00690937 | − | 0.999976i | \(-0.502199\pi\) |
0.953169 | − | 0.302438i | \(-0.0978007\pi\) | |||||||
\(762\) | −225.571 | + | 274.635i | −0.296024 | + | 0.360413i | ||||
\(763\) | −726.049 | − | 114.995i | −0.951571 | − | 0.150714i | ||||
\(764\) | 466.536 | − | 99.5447i | 0.610649 | − | 0.130294i | ||||
\(765\) | 1162.38 | − | 365.804i | 1.51945 | − | 0.478175i | ||||
\(766\) | 297.386 | + | 1108.14i | 0.388233 | + | 1.44665i | ||||
\(767\) | −82.2391 | + | 41.9029i | −0.107222 | + | 0.0546322i | ||||
\(768\) | 568.561 | + | 516.297i | 0.740314 | + | 0.672261i | ||||
\(769\) | 105.159 | + | 34.1683i | 0.136748 | + | 0.0444321i | 0.376591 | − | 0.926380i | \(-0.377096\pi\) |
−0.239843 | + | 0.970812i | \(0.577096\pi\) | |||||||
\(770\) | 676.663 | + | 385.469i | 0.878783 | + | 0.500610i | ||||
\(771\) | 44.5179 | + | 295.062i | 0.0577404 | + | 0.382701i | ||||
\(772\) | 207.658 | − | 79.8977i | 0.268987 | − | 0.103494i | ||||
\(773\) | 105.188 | + | 664.132i | 0.136078 | + | 0.859162i | 0.957414 | + | 0.288718i | \(0.0932289\pi\) |
−0.821336 | + | 0.570444i | \(0.806771\pi\) | |||||||
\(774\) | −750.061 | + | 899.675i | −0.969070 | + | 1.16237i | ||||
\(775\) | 172.580 | + | 512.266i | 0.222683 | + | 0.660989i | ||||
\(776\) | 749.506 | − | 382.995i | 0.965858 | − | 0.493550i | ||||
\(777\) | −7.78530 | + | 1061.66i | −0.0100197 | + | 1.36636i | ||||
\(778\) | 664.224 | + | 737.119i | 0.853758 | + | 0.947453i | ||||
\(779\) | −922.163 | + | 299.629i | −1.18378 | + | 0.384633i | ||||
\(780\) | 31.3039 | − | 294.553i | 0.0401332 | − | 0.377632i | ||||
\(781\) | −232.795 | + | 716.471i | −0.298074 | + | 0.917376i | ||||
\(782\) | −250.194 | − | 561.357i | −0.319941 | − | 0.717848i | ||||
\(783\) | −17.7692 | + | 807.599i | −0.0226938 | + | 1.03142i | ||||
\(784\) | −44.0246 | + | 39.7642i | −0.0561539 | + | 0.0507196i | ||||
\(785\) | 37.5804 | + | 113.572i | 0.0478731 | + | 0.144677i | ||||
\(786\) | 130.065 | + | 297.678i | 0.165478 | + | 0.378725i | ||||
\(787\) | −225.534 | + | 1423.97i | −0.286575 | + | 1.80936i | 0.253045 | + | 0.967454i | \(0.418568\pi\) |
−0.539620 | + | 0.841908i | \(0.681432\pi\) | |||||||
\(788\) | 182.315 | + | 224.783i | 0.231365 | + | 0.285257i | ||||
\(789\) | −226.166 | − | 229.508i | −0.286649 | − | 0.290884i | ||||
\(790\) | 26.7190 | − | 70.8274i | 0.0338215 | − | 0.0896550i | ||||
\(791\) | 760.278 | − | 552.375i | 0.961161 | − | 0.698324i | ||||
\(792\) | 680.579 | − | 480.568i | 0.859317 | − | 0.606778i | ||||
\(793\) | 219.347 | − | 219.347i | 0.276604 | − | 0.276604i | ||||
\(794\) | −223.801 | + | 276.592i | −0.281866 | + | 0.348352i | ||||
\(795\) | −0.583629 | + | 301.351i | −0.000734125 | + | 0.379058i | ||||
\(796\) | −512.647 | − | 227.768i | −0.644029 | − | 0.286140i | ||||
\(797\) | 10.2466 | + | 5.22089i | 0.0128564 | + | 0.00655068i | 0.460407 | − | 0.887708i | \(-0.347704\pi\) |
−0.447550 | + | 0.894259i | \(0.647704\pi\) | |||||||
\(798\) | 767.928 | + | 300.915i | 0.962316 | + | 0.377086i | ||||
\(799\) | 959.629 | 1.20104 | ||||||||
\(800\) | 316.054 | − | 734.922i | 0.395068 | − | 0.918652i | ||||
\(801\) | 7.65867 | − | 22.4454i | 0.00956139 | − | 0.0280218i | ||||
\(802\) | −117.999 | + | 556.206i | −0.147131 | + | 0.693524i | ||||
\(803\) | −692.597 | − | 352.896i | −0.862512 | − | 0.439472i | ||||
\(804\) | −479.325 | − | 315.763i | −0.596175 | − | 0.392740i | ||||
\(805\) | 339.291 | − | 175.190i | 0.421479 | − | 0.217627i | ||||
\(806\) | −134.290 | + | 165.967i | −0.166613 | + | 0.205914i | ||||
\(807\) | −171.847 | − | 240.211i | −0.212945 | − | 0.297660i | ||||
\(808\) | 676.949 | − | 934.031i | 0.837808 | − | 1.15598i | ||||
\(809\) | 641.218 | − | 465.872i | 0.792605 | − | 0.575861i | −0.116130 | − | 0.993234i | \(-0.537049\pi\) |
0.908735 | + | 0.417373i | \(0.137049\pi\) | |||||||
\(810\) | 807.668 | + | 61.4253i | 0.997120 | + | 0.0758337i | ||||
\(811\) | 747.600 | − | 1028.98i | 0.921825 | − | 1.26878i | −0.0411396 | − | 0.999153i | \(-0.513099\pi\) |
0.962964 | − | 0.269629i | \(-0.0869012\pi\) | |||||||
\(812\) | −507.339 | − | 625.515i | −0.624801 | − | 0.770339i | ||||
\(813\) | −499.145 | + | 1498.73i | −0.613955 | + | 1.84345i | ||||
\(814\) | −663.213 | − | 1020.39i | −0.814758 | − | 1.25355i | ||||
\(815\) | 819.392 | + | 588.594i | 1.00539 | + | 0.722201i | ||||
\(816\) | 701.625 | + | 1094.19i | 0.859834 | + | 1.34092i | ||||
\(817\) | 1184.30 | − | 603.431i | 1.44957 | − | 0.738594i | ||||
\(818\) | 82.3416 | + | 184.749i | 0.100662 | + | 0.225854i | ||||
\(819\) | −179.291 | + | 239.312i | −0.218914 | + | 0.292200i | ||||
\(820\) | 240.060 | − | 918.564i | 0.292756 | − | 1.12020i | ||||
\(821\) | −1520.37 | + | 493.998i | −1.85185 | + | 0.601703i | −0.855359 | + | 0.518036i | \(0.826663\pi\) |
−0.996494 | + | 0.0836672i | \(0.973337\pi\) | |||||||
\(822\) | −594.636 | − | 929.730i | −0.723402 | − | 1.13106i | ||||
\(823\) | −229.659 | − | 1450.01i | −0.279051 | − | 1.76186i | −0.586173 | − | 0.810186i | \(-0.699366\pi\) |
0.307122 | − | 0.951670i | \(-0.400634\pi\) | |||||||
\(824\) | 1102.68 | − | 563.465i | 1.33820 | − | 0.683817i | ||||
\(825\) | −703.875 | − | 507.684i | −0.853182 | − | 0.615375i | ||||
\(826\) | 234.966 | + | 90.0901i | 0.284462 | + | 0.109068i | ||||
\(827\) | −153.128 | − | 966.813i | −0.185161 | − | 1.16906i | −0.888729 | − | 0.458433i | \(-0.848411\pi\) |
0.703568 | − | 0.710628i | \(-0.251589\pi\) | |||||||
\(828\) | −15.7127 | − | 408.218i | −0.0189767 | − | 0.493017i | ||||
\(829\) | −610.018 | + | 198.207i | −0.735848 | + | 0.239091i | −0.652881 | − | 0.757461i | \(-0.726440\pi\) |
−0.0829672 | + | 0.996552i | \(0.526440\pi\) | |||||||
\(830\) | 170.779 | − | 826.950i | 0.205758 | − | 0.996326i | ||||
\(831\) | −837.846 | − | 434.672i | −1.00824 | − | 0.523071i | ||||
\(832\) | 311.953 | − | 50.1552i | 0.374944 | − | 0.0602827i | ||||
\(833\) | −89.4613 | + | 45.5828i | −0.107397 | + | 0.0547213i | ||||
\(834\) | 1262.18 | − | 123.806i | 1.51341 | − | 0.148448i | ||||
\(835\) | −649.930 | + | 3.50724i | −0.778359 | + | 0.00420028i | ||||
\(836\) | −924.606 | + | 197.283i | −1.10599 | + | 0.235985i | ||||
\(837\) | −464.642 | − | 353.456i | −0.555128 | − | 0.422289i | ||||
\(838\) | 663.017 | + | 382.449i | 0.791189 | + | 0.456383i | ||||
\(839\) | −107.605 | + | 148.105i | −0.128254 | + | 0.176526i | −0.868315 | − | 0.496014i | \(-0.834797\pi\) |
0.740061 | + | 0.672540i | \(0.234797\pi\) | |||||||
\(840\) | −653.723 | + | 474.189i | −0.778241 | + | 0.564511i | ||||
\(841\) | −43.7727 | + | 31.8027i | −0.0520484 | + | 0.0378154i | ||||
\(842\) | −49.4109 | − | 468.361i | −0.0586828 | − | 0.556248i | ||||
\(843\) | 300.462 | − | 214.950i | 0.356420 | − | 0.254982i | ||||
\(844\) | 1219.17 | − | 705.154i | 1.44452 | − | 0.835491i | ||||
\(845\) | 514.087 | + | 508.568i | 0.608387 | + | 0.601856i | ||||
\(846\) | 592.180 | + | 237.071i | 0.699976 | + | 0.280226i | ||||
\(847\) | 77.3493 | + | 39.4114i | 0.0913215 | + | 0.0465306i | ||||
\(848\) | −310.359 | + | 83.6782i | −0.365989 | + | 0.0986772i | ||||
\(849\) | 1.93773 | − | 11.6794i | 0.00228236 | − | 0.0137566i | ||||
\(850\) | 840.270 | − | 1061.70i | 0.988553 | − | 1.24906i | ||||
\(851\) | −596.728 | −0.701208 | ||||||||
\(852\) | −577.135 | − | 526.546i | −0.677389 | − | 0.618012i | ||||
\(853\) | −790.018 | − | 402.534i | −0.926164 | − | 0.471904i | −0.0752239 | − | 0.997167i | \(-0.523967\pi\) |
−0.850940 | + | 0.525262i | \(0.823967\pi\) | |||||||
\(854\) | −844.597 | − | 43.9340i | −0.988990 | − | 0.0514450i | ||||
\(855\) | −815.068 | − | 424.860i | −0.953296 | − | 0.496913i | ||||
\(856\) | 23.6261 | + | 148.051i | 0.0276006 | + | 0.172957i | ||||
\(857\) | 29.4706 | − | 29.4706i | 0.0343881 | − | 0.0343881i | −0.689704 | − | 0.724092i | \(-0.742259\pi\) |
0.724092 | + | 0.689704i | \(0.242259\pi\) | |||||||
\(858\) | 20.3151 | − | 342.159i | 0.0236773 | − | 0.398786i | ||||
\(859\) | −192.903 | + | 140.152i | −0.224566 | + | 0.163157i | −0.694380 | − | 0.719609i | \(-0.744321\pi\) |
0.469813 | + | 0.882766i | \(0.344321\pi\) | |||||||
\(860\) | −128.047 | + | 1295.16i | −0.148892 | + | 1.50600i | ||||
\(861\) | −682.662 | + | 672.723i | −0.792871 | + | 0.781327i | ||||
\(862\) | 4.47591 | − | 7.75947i | 0.00519247 | − | 0.00900170i | ||||
\(863\) | −158.123 | + | 998.351i | −0.183225 | + | 1.15684i | 0.708987 | + | 0.705221i | \(0.249152\pi\) |
−0.892212 | + | 0.451616i | \(0.850848\pi\) | |||||||
\(864\) | 162.653 | + | 848.552i | 0.188256 | + | 0.982120i | ||||
\(865\) | −314.107 | + | 984.774i | −0.363130 | + | 1.13847i | ||||
\(866\) | 104.584 | + | 389.706i | 0.120767 | + | 0.450007i | ||||
\(867\) | 402.588 | + | 1270.67i | 0.464346 | + | 1.46559i | ||||
\(868\) | 581.245 | − | 30.9152i | 0.669637 | − | 0.0356166i | ||||
\(869\) | 27.0686 | − | 83.3085i | 0.0311491 | − | 0.0958670i | ||||
\(870\) | 487.675 | + | 753.504i | 0.560546 | + | 0.866097i | ||||
\(871\) | −224.583 | + | 72.9714i | −0.257845 | + | 0.0837789i | ||||
\(872\) | 1.01979 | + | 873.823i | 0.00116948 | + | 1.00209i | ||||
\(873\) | 932.972 | + | 161.828i | 1.06870 | + | 0.185370i | ||||
\(874\) | −165.961 | + | 432.846i | −0.189887 | + | 0.495247i | ||||
\(875\) | 688.496 | + | 483.389i | 0.786853 | + | 0.552444i | ||||
\(876\) | 629.773 | − | 503.181i | 0.718919 | − | 0.574408i | ||||
\(877\) | 6.40823 | + | 40.4600i | 0.00730699 | + | 0.0461345i | 0.991072 | − | 0.133325i | \(-0.0425653\pi\) |
−0.983765 | + | 0.179459i | \(0.942565\pi\) | |||||||
\(878\) | 287.886 | + | 319.480i | 0.327888 | + | 0.363872i | ||||
\(879\) | 1306.55 | − | 197.128i | 1.48641 | − | 0.224264i | ||||
\(880\) | 325.731 | − | 866.518i | 0.370149 | − | 0.984680i | ||||
\(881\) | −497.982 | − | 161.804i | −0.565246 | − | 0.183660i | 0.0124342 | − | 0.999923i | \(-0.496042\pi\) |
−0.577680 | + | 0.816263i | \(0.696042\pi\) | |||||||
\(882\) | −66.4669 | + | 6.02790i | −0.0753593 | + | 0.00683435i | ||||
\(883\) | 626.293 | − | 319.112i | 0.709278 | − | 0.361395i | −0.0618409 | − | 0.998086i | \(-0.519697\pi\) |
0.771119 | + | 0.636691i | \(0.219697\pi\) | |||||||
\(884\) | 531.868 | + | 55.4832i | 0.601661 | + | 0.0627639i | ||||
\(885\) | −249.625 | − | 127.800i | −0.282063 | − | 0.144407i | ||||
\(886\) | −1010.29 | + | 656.652i | −1.14029 | + | 0.741142i | ||||
\(887\) | −1336.30 | − | 211.649i | −1.50654 | − | 0.238612i | −0.652087 | − | 0.758144i | \(-0.726106\pi\) |
−0.854451 | + | 0.519532i | \(0.826106\pi\) | |||||||
\(888\) | 1247.70 | − | 189.738i | 1.40507 | − | 0.213669i | ||||
\(889\) | 234.311 | − | 322.501i | 0.263567 | − | 0.362768i | ||||
\(890\) | −6.96734 | − | 25.4134i | −0.00782847 | − | 0.0285544i | ||||
\(891\) | 936.887 | + | 27.4886i | 1.05150 | + | 0.0308514i | ||||
\(892\) | −321.165 | + | 1202.35i | −0.360051 | + | 1.34792i | ||||
\(893\) | −511.824 | − | 511.824i | −0.573151 | − | 0.573151i | ||||
\(894\) | −1288.31 | + | 1143.91i | −1.44107 | + | 1.27954i | ||||
\(895\) | −1349.47 | − | 206.277i | −1.50779 | − | 0.230477i | ||||
\(896\) | −670.933 | − | 540.293i | −0.748810 | − | 0.603005i | ||||
\(897\) | −135.242 | − | 99.7821i | −0.150771 | − | 0.111240i | ||||
\(898\) | −709.509 | − | 150.522i | −0.790099 | − | 0.167619i | ||||
\(899\) | − | 646.901i | − | 0.719578i | ||||||
\(900\) | 780.812 | − | 447.585i | 0.867569 | − | 0.497317i | ||||
\(901\) | −544.033 | −0.603810 | ||||||||
\(902\) | 227.997 | − | 1074.70i | 0.252768 | − | 1.19146i | ||||
\(903\) | 780.023 | − | 1057.22i | 0.863812 | − | 1.17078i | ||||
\(904\) | −790.832 | − | 788.988i | −0.874814 | − | 0.872775i | ||||
\(905\) | −925.002 | + | 935.040i | −1.02210 | + | 1.03319i | ||||
\(906\) | −929.524 | − | 1046.87i | −1.02597 | − | 1.15549i | ||||
\(907\) | −952.959 | + | 952.959i | −1.05067 | + | 1.05067i | −0.0520258 | + | 0.998646i | \(0.516568\pi\) |
−0.998646 | + | 0.0520258i | \(0.983432\pi\) | |||||||
\(908\) | −190.199 | + | 712.049i | −0.209471 | + | 0.784195i | ||||
\(909\) | 1239.97 | − | 382.881i | 1.36411 | − | 0.421211i | ||||
\(910\) | −15.4688 | + | 331.888i | −0.0169986 | + | 0.364713i | ||||
\(911\) | 178.813 | + | 129.915i | 0.196282 | + | 0.142607i | 0.681585 | − | 0.731739i | \(-0.261291\pi\) |
−0.485303 | + | 0.874346i | \(0.661291\pi\) | |||||||
\(912\) | 209.380 | − | 957.812i | 0.229583 | − | 1.05023i | ||||
\(913\) | 152.852 | − | 965.067i | 0.167417 | − | 1.05703i | ||||
\(914\) | 281.281 | + | 432.766i | 0.307747 | + | 0.473486i | ||||
\(915\) | 930.619 | + | 149.244i | 1.01707 | + | 0.163108i | ||||
\(916\) | −1368.36 | − | 142.744i | −1.49384 | − | 0.155834i | ||||
\(917\) | −165.422 | − | 324.659i | −0.180395 | − | 0.354045i | ||||
\(918\) | −108.068 | + | 1458.30i | −0.117721 | + | 1.58856i | ||||
\(919\) | 18.9141 | − | 58.2116i | 0.0205812 | − | 0.0633423i | −0.940238 | − | 0.340517i | \(-0.889398\pi\) |
0.960820 | + | 0.277174i | \(0.0893980\pi\) | |||||||
\(920\) | −269.207 | − | 365.463i | −0.292616 | − | 0.397243i | ||||
\(921\) | −78.9588 | − | 523.336i | −0.0857316 | − | 0.568225i | ||||
\(922\) | −268.165 | + | 241.646i | −0.290852 | + | 0.262089i | ||||
\(923\) | −317.449 | + | 50.2790i | −0.343932 | + | 0.0544735i | ||||
\(924\) | −730.087 | + | 583.331i | −0.790138 | + | 0.631310i | ||||
\(925\) | −609.438 | − | 1164.84i | −0.658852 | − | 1.25928i | ||||
\(926\) | 987.952 | + | 378.798i | 1.06690 | + | 0.409069i | ||||
\(927\) | 1372.60 | + | 238.083i | 1.48069 | + | 0.256831i | ||||
\(928\) | −639.231 | + | 712.721i | −0.688827 | + | 0.768019i | ||||
\(929\) | 97.8948 | + | 301.289i | 0.105377 | + | 0.324316i | 0.989819 | − | 0.142334i | \(-0.0454608\pi\) |
−0.884442 | + | 0.466650i | \(0.845461\pi\) | |||||||
\(930\) | −647.725 | − | 34.9511i | −0.696478 | − | 0.0375819i | ||||
\(931\) | 72.0267 | + | 23.4029i | 0.0773648 | + | 0.0251374i | ||||
\(932\) | −868.563 | + | 46.1971i | −0.931935 | + | 0.0495677i | ||||
\(933\) | 267.753 | − | 84.8328i | 0.286981 | − | 0.0909247i | ||||
\(934\) | 66.1281 | − | 17.7465i | 0.0708009 | − | 0.0190006i | ||||
\(935\) | 914.064 | − | 1272.48i | 0.977608 | − | 1.36095i | ||||
\(936\) | 314.505 | + | 165.633i | 0.336010 | + | 0.176959i | ||||
\(937\) | −50.3356 | − | 7.97237i | −0.0537199 | − | 0.00850840i | 0.129517 | − | 0.991577i | \(-0.458657\pi\) |
−0.183237 | + | 0.983069i | \(0.558657\pi\) | |||||||
\(938\) | 557.685 | + | 321.691i | 0.594547 | + | 0.342954i | ||||
\(939\) | 247.676 | + | 251.335i | 0.263765 | + | 0.267662i | ||||
\(940\) | 692.335 | − | 151.634i | 0.736526 | − | 0.161313i | ||||
\(941\) | −744.550 | − | 1024.79i | −0.791233 | − | 1.08904i | −0.993953 | − | 0.109802i | \(-0.964978\pi\) |
0.202721 | − | 0.979237i | \(-0.435022\pi\) | |||||||
\(942\) | −143.301 | − | 8.50827i | −0.152124 | − | 0.00903214i | ||||
\(943\) | −380.910 | − | 380.910i | −0.403934 | − | 0.403934i | ||||
\(944\) | 61.7381 | − | 292.694i | 0.0654006 | − | 0.310057i | ||||
\(945\) | −908.418 | − | 15.0836i | −0.961289 | − | 0.0159614i | ||||
\(946\) | −78.2328 | + | 1503.97i | −0.0826986 | + | 1.58982i | ||||
\(947\) | 786.337 | − | 1543.27i | 0.830346 | − | 1.62964i | 0.0546772 | − | 0.998504i | \(-0.482587\pi\) |
0.775668 | − | 0.631141i | \(-0.217413\pi\) | |||||||
\(948\) | 67.1071 | + | 61.2247i | 0.0707880 | + | 0.0645830i | ||||
\(949\) | − | 331.636i | − | 0.349459i | ||||||
\(950\) | −1014.43 | + | 118.103i | −1.06782 | + | 0.124319i | ||||
\(951\) | −1041.90 | − | 172.862i | −1.09558 | − | 0.181768i | ||||
\(952\) | −858.342 | − | 1178.51i | −0.901619 | − | 1.23793i | ||||
\(953\) | 24.1141 | − | 47.3265i | 0.0253033 | − | 0.0496606i | −0.878009 | − | 0.478644i | \(-0.841128\pi\) |
0.903312 | + | 0.428984i | \(0.141128\pi\) | |||||||
\(954\) | −335.718 | − | 134.400i | −0.351906 | − | 0.140881i | ||||
\(955\) | 588.444 | − | 96.4582i | 0.616171 | − | 0.101003i | ||||
\(956\) | −601.850 | + | 348.103i | −0.629551 | + | 0.364125i | ||||
\(957\) | 604.295 | + | 844.697i | 0.631447 | + | 0.882652i | ||||
\(958\) | 236.963 | − | 24.9990i | 0.247352 | − | 0.0260950i | ||||
\(959\) | 727.615 | + | 1001.48i | 0.758722 | + | 1.04429i | ||||
\(960\) | 679.092 | + | 678.553i | 0.707388 | + | 0.706826i | ||||
\(961\) | −399.233 | − | 290.060i | −0.415435 | − | 0.301831i | ||||
\(962\) | 259.432 | − | 449.753i | 0.269680 | − | 0.467519i | ||||
\(963\) | −78.7679 | + | 149.142i | −0.0817943 | + | 0.154873i | ||||
\(964\) | 1332.73 | − | 284.363i | 1.38250 | − | 0.294983i | ||||
\(965\) | 264.043 | − | 87.3707i | 0.273619 | − | 0.0905396i | ||||
\(966\) | 44.7315 | + | 456.032i | 0.0463059 | + | 0.472083i | ||||
\(967\) | −234.997 | − | 461.208i | −0.243017 | − | 0.476948i | 0.736992 | − | 0.675902i | \(-0.236246\pi\) |
−0.980009 | + | 0.198954i | \(0.936246\pi\) | |||||||
\(968\) | 31.7741 | − | 98.1803i | 0.0328245 | − | 0.101426i | ||||
\(969\) | 764.153 | − | 1472.93i | 0.788600 | − | 1.52005i | ||||
\(970\) | 958.663 | − | 433.487i | 0.988312 | − | 0.446894i | ||||
\(971\) | −352.524 | − | 1084.96i | −0.363053 | − | 1.11736i | −0.951192 | − | 0.308601i | \(-0.900139\pi\) |
0.588139 | − | 0.808760i | \(-0.299861\pi\) | |||||||
\(972\) | −426.953 | + | 873.210i | −0.439252 | + | 0.898364i | ||||
\(973\) | −1405.02 | + | 222.533i | −1.44401 | + | 0.228708i | ||||
\(974\) | 127.499 | − | 332.533i | 0.130903 | − | 0.341410i | ||||
\(975\) | 56.6567 | − | 365.905i | 0.0581094 | − | 0.375287i | ||||
\(976\) | 106.643 | + | 999.672i | 0.109265 | + | 1.02425i | ||||
\(977\) | 976.284 | − | 154.628i | 0.999267 | − | 0.158268i | 0.364691 | − | 0.931129i | \(-0.381175\pi\) |
0.634576 | + | 0.772860i | \(0.281175\pi\) | |||||||
\(978\) | −1019.90 | + | 652.306i | −1.04284 | + | 0.666980i | ||||
\(979\) | −9.42263 | − | 28.9999i | −0.00962475 | − | 0.0296219i | ||||
\(980\) | −57.3402 | + | 47.0223i | −0.0585104 | + | 0.0479819i | ||||
\(981\) | −589.425 | + | 786.746i | −0.600841 | + | 0.801984i | ||||
\(982\) | −318.590 | + | 141.994i | −0.324430 | + | 0.144597i | ||||
\(983\) | 700.922 | + | 1375.64i | 0.713044 | + | 1.39943i | 0.908150 | + | 0.418646i | \(0.137495\pi\) |
−0.195106 | + | 0.980782i | \(0.562505\pi\) | |||||||
\(984\) | 917.565 | + | 675.333i | 0.932484 | + | 0.686314i | ||||
\(985\) | 214.225 | + | 291.534i | 0.217487 | + | 0.295974i | ||||
\(986\) | −1358.60 | + | 883.037i | −1.37789 | + | 0.895575i | ||||
\(987\) | −678.816 | − | 226.077i | −0.687757 | − | 0.229055i | ||||
\(988\) | −254.083 | − | 313.268i | −0.257169 | − | 0.317072i | ||||
\(989\) | 597.413 | + | 434.046i | 0.604058 | + | 0.438874i | ||||
\(990\) | 878.422 | − | 559.427i | 0.887295 | − | 0.565077i | ||||
\(991\) | 257.403 | + | 354.285i | 0.259741 | + | 0.357503i | 0.918893 | − | 0.394507i | \(-0.129085\pi\) |
−0.659152 | + | 0.752010i | \(0.729085\pi\) | |||||||
\(992\) | −145.173 | − | 676.510i | −0.146343 | − | 0.681966i | ||||
\(993\) | −1563.90 | + | 1118.81i | −1.57492 | + | 1.12670i | ||||
\(994\) | 681.215 | + | 551.199i | 0.685327 | + | 0.554526i | ||||
\(995\) | −626.492 | − | 314.967i | −0.629640 | − | 0.316549i | ||||
\(996\) | 846.173 | + | 557.431i | 0.849571 | + | 0.559669i | ||||
\(997\) | 388.568 | − | 762.608i | 0.389738 | − | 0.764903i | −0.609882 | − | 0.792492i | \(-0.708783\pi\) |
0.999619 | + | 0.0275893i | \(0.00878306\pi\) | |||||||
\(998\) | −13.1444 | − | 2.78858i | −0.0131707 | − | 0.00279416i | ||||
\(999\) | 1250.57 | + | 672.250i | 1.25182 | + | 0.672923i |
(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 | 300.3.u.a.287.8 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.109 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.20 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.97 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.97 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.20 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.109 | yes | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.8 | ✓ | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.8 | ✓ | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.23.20 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.97 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.109 | yes | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.287.8 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.287.20 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.97 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.109 | yes | 928 | 3.2 | odd | 2 | inner |