Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.12 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03327 | − | 0.965583i | −0.730633 | − | 0.682771i | ||||
\(3\) | 0.539210 | + | 1.64598i | 0.311313 | + | 0.950307i | ||||
\(4\) | 0.135297 | + | 1.99542i | 0.0676485 | + | 0.997709i | ||||
\(5\) | −1.86451 | − | 1.23434i | −0.833835 | − | 0.552013i | ||||
\(6\) | 1.03218 | − | 2.22140i | 0.421386 | − | 0.906881i | ||||
\(7\) | − | 3.63805i | − | 1.37505i | −0.726159 | − | 0.687527i | \(-0.758696\pi\) | ||
0.726159 | − | 0.687527i | \(-0.241304\pi\) | |||||||
\(8\) | 1.78694 | − | 2.19245i | 0.631780 | − | 0.775147i | ||||
\(9\) | −2.41850 | + | 1.77506i | −0.806168 | + | 0.591687i | ||||
\(10\) | 0.734688 | + | 3.07575i | 0.232329 | + | 0.972637i | ||||
\(11\) | 2.73750 | − | 1.98891i | 0.825388 | − | 0.599680i | −0.0928626 | − | 0.995679i | \(-0.529602\pi\) |
0.918251 | + | 0.395999i | \(0.129602\pi\) | |||||||
\(12\) | −3.21147 | + | 1.29865i | −0.927070 | + | 0.374887i | ||||
\(13\) | −1.11419 | − | 0.809509i | −0.309022 | − | 0.224518i | 0.422455 | − | 0.906384i | \(-0.361169\pi\) |
−0.731477 | + | 0.681866i | \(0.761169\pi\) | |||||||
\(14\) | −3.51284 | + | 3.75909i | −0.938846 | + | 1.00466i | ||||
\(15\) | 1.02633 | − | 3.73452i | 0.264998 | − | 0.964249i | ||||
\(16\) | −3.96339 | + | 0.539948i | −0.990847 | + | 0.134987i | ||||
\(17\) | 5.90773 | − | 1.91954i | 1.43284 | − | 0.465557i | 0.513180 | − | 0.858281i | \(-0.328467\pi\) |
0.919656 | + | 0.392725i | \(0.128467\pi\) | |||||||
\(18\) | 4.21294 | + | 0.501150i | 0.992999 | + | 0.118122i | ||||
\(19\) | 4.04058 | − | 1.31286i | 0.926973 | − | 0.301192i | 0.193649 | − | 0.981071i | \(-0.437968\pi\) |
0.733324 | + | 0.679879i | \(0.237968\pi\) | |||||||
\(20\) | 2.21076 | − | 3.88748i | 0.494341 | − | 0.869268i | ||||
\(21\) | 5.98816 | − | 1.96167i | 1.30672 | − | 0.428072i | ||||
\(22\) | −4.74904 | − | 0.588203i | −1.01250 | − | 0.125405i | ||||
\(23\) | 4.33594 | − | 3.15025i | 0.904107 | − | 0.656872i | −0.0354109 | − | 0.999373i | \(-0.511274\pi\) |
0.939517 | + | 0.342501i | \(0.111274\pi\) | |||||||
\(24\) | 4.57227 | + | 1.75909i | 0.933310 | + | 0.359072i | ||||
\(25\) | 1.95281 | + | 4.60288i | 0.390562 | + | 0.920576i | ||||
\(26\) | 0.369615 | + | 1.91229i | 0.0724875 | + | 0.375031i | ||||
\(27\) | −4.22580 | − | 3.02368i | −0.813255 | − | 0.581907i | ||||
\(28\) | 7.25943 | − | 0.492217i | 1.37190 | − | 0.0930203i | ||||
\(29\) | −7.29480 | − | 2.37022i | −1.35461 | − | 0.440140i | −0.460370 | − | 0.887727i | \(-0.652283\pi\) |
−0.894240 | + | 0.447587i | \(0.852283\pi\) | |||||||
\(30\) | −4.66647 | + | 2.86776i | −0.851977 | + | 0.523579i | ||||
\(31\) | −2.22013 | + | 0.721365i | −0.398748 | + | 0.129561i | −0.501524 | − | 0.865143i | \(-0.667227\pi\) |
0.102777 | + | 0.994704i | \(0.467227\pi\) | |||||||
\(32\) | 4.61662 | + | 3.26907i | 0.816111 | + | 0.577895i | ||||
\(33\) | 4.74980 | + | 3.43343i | 0.826834 | + | 0.597684i | ||||
\(34\) | −7.95776 | − | 3.72101i | −1.36475 | − | 0.638147i | ||||
\(35\) | −4.49059 | + | 6.78319i | −0.759048 | + | 1.14657i | ||||
\(36\) | −3.86920 | − | 4.58577i | −0.644867 | − | 0.764295i | ||||
\(37\) | −0.973928 | − | 0.707600i | −0.160113 | − | 0.116329i | 0.504844 | − | 0.863211i | \(-0.331550\pi\) |
−0.664957 | + | 0.746882i | \(0.731550\pi\) | |||||||
\(38\) | −5.44270 | − | 2.54497i | −0.882922 | − | 0.412849i | ||||
\(39\) | 0.731652 | − | 2.27044i | 0.117158 | − | 0.363561i | ||||
\(40\) | −6.03801 | + | 1.88215i | −0.954693 | + | 0.297594i | ||||
\(41\) | −2.55427 | + | 3.51565i | −0.398910 | + | 0.549053i | −0.960470 | − | 0.278383i | \(-0.910201\pi\) |
0.561560 | + | 0.827436i | \(0.310201\pi\) | |||||||
\(42\) | −8.08155 | − | 3.75513i | −1.24701 | − | 0.579429i | ||||
\(43\) | − | 7.53490i | − | 1.14906i | −0.818483 | − | 0.574531i | \(-0.805185\pi\) | ||
0.818483 | − | 0.574531i | \(-0.194815\pi\) | |||||||
\(44\) | 4.33909 | + | 5.19337i | 0.654142 | + | 0.782930i | ||||
\(45\) | 6.70036 | − | 0.324366i | 0.998830 | − | 0.0483536i | ||||
\(46\) | −7.52203 | − | 0.931657i | −1.10906 | − | 0.137365i | ||||
\(47\) | 1.07220 | − | 3.29990i | 0.156397 | − | 0.481340i | −0.841903 | − | 0.539629i | \(-0.818565\pi\) |
0.998300 | + | 0.0582893i | \(0.0185646\pi\) | |||||||
\(48\) | −3.02585 | − | 6.23252i | −0.436743 | − | 0.899586i | ||||
\(49\) | −6.23541 | −0.890773 | ||||||||
\(50\) | 2.42668 | − | 6.64163i | 0.343185 | − | 0.939268i | ||||
\(51\) | 6.34504 | + | 8.68898i | 0.888483 | + | 1.21670i | ||||
\(52\) | 1.46456 | − | 2.33281i | 0.203098 | − | 0.323502i | ||||
\(53\) | −6.24137 | − | 2.02794i | −0.857317 | − | 0.278559i | −0.152810 | − | 0.988256i | \(-0.548832\pi\) |
−0.704508 | + | 0.709696i | \(0.748832\pi\) | |||||||
\(54\) | 1.44678 | + | 7.20464i | 0.196881 | + | 0.980427i | ||||
\(55\) | −7.55910 | + | 0.329343i | −1.01927 | + | 0.0444086i | ||||
\(56\) | −7.97624 | − | 6.50099i | −1.06587 | − | 0.868732i | ||||
\(57\) | 4.33967 | + | 5.94281i | 0.574804 | + | 0.787144i | ||||
\(58\) | 5.24886 | + | 9.49282i | 0.689208 | + | 1.24647i | ||||
\(59\) | 5.35774 | + | 3.89263i | 0.697519 | + | 0.506777i | 0.879123 | − | 0.476595i | \(-0.158129\pi\) |
−0.181604 | + | 0.983372i | \(0.558129\pi\) | |||||||
\(60\) | 7.59079 | + | 1.54270i | 0.979967 | + | 0.199161i | ||||
\(61\) | −7.39729 | + | 5.37444i | −0.947125 | + | 0.688127i | −0.950125 | − | 0.311869i | \(-0.899045\pi\) |
0.00299982 | + | 0.999996i | \(0.499045\pi\) | |||||||
\(62\) | 2.99054 | + | 1.39836i | 0.379799 | + | 0.177592i | ||||
\(63\) | 6.45776 | + | 8.79864i | 0.813601 | + | 1.10852i | ||||
\(64\) | −1.61366 | − | 7.83557i | −0.201707 | − | 0.979446i | ||||
\(65\) | 1.07822 | + | 2.88463i | 0.133737 | + | 0.357795i | ||||
\(66\) | −1.59256 | − | 8.13400i | −0.196031 | − | 1.00123i | ||||
\(67\) | −3.34687 | + | 1.08746i | −0.408885 | + | 0.132855i | −0.506235 | − | 0.862395i | \(-0.668963\pi\) |
0.0973503 | + | 0.995250i | \(0.468963\pi\) | |||||||
\(68\) | 4.62958 | + | 11.5287i | 0.561419 | + | 1.39806i | ||||
\(69\) | 7.52323 | + | 5.43823i | 0.905691 | + | 0.654686i | ||||
\(70\) | 11.1897 | − | 2.67283i | 1.33743 | − | 0.319465i | ||||
\(71\) | −0.0828149 | + | 0.254878i | −0.00982832 | + | 0.0302485i | −0.955850 | − | 0.293854i | \(-0.905062\pi\) |
0.946022 | + | 0.324102i | \(0.105062\pi\) | |||||||
\(72\) | −0.430006 | + | 8.47438i | −0.0506767 | + | 0.998715i | ||||
\(73\) | 4.70101 | − | 3.41548i | 0.550212 | − | 0.399752i | −0.277652 | − | 0.960682i | \(-0.589556\pi\) |
0.827863 | + | 0.560930i | \(0.189556\pi\) | |||||||
\(74\) | 0.323084 | + | 1.67155i | 0.0375578 | + | 0.194314i | ||||
\(75\) | −6.52328 | + | 5.69621i | −0.753243 | + | 0.657742i | ||||
\(76\) | 3.16639 | + | 7.88503i | 0.363210 | + | 0.904474i | ||||
\(77\) | −7.23576 | − | 9.95917i | −0.824592 | − | 1.13495i | ||||
\(78\) | −2.94829 | + | 1.63951i | −0.333828 | + | 0.185638i | ||||
\(79\) | 13.3984 | + | 4.35339i | 1.50743 | + | 0.489795i | 0.942176 | − | 0.335119i | \(-0.108777\pi\) |
0.565258 | + | 0.824914i | \(0.308777\pi\) | |||||||
\(80\) | 8.05627 | + | 3.88543i | 0.900718 | + | 0.434404i | ||||
\(81\) | 2.69832 | − | 8.58598i | 0.299814 | − | 0.953998i | ||||
\(82\) | 6.03391 | − | 1.16626i | 0.666334 | − | 0.128792i | ||||
\(83\) | 4.28851 | + | 13.1987i | 0.470725 | + | 1.44874i | 0.851638 | + | 0.524131i | \(0.175610\pi\) |
−0.380913 | + | 0.924611i | \(0.624390\pi\) | |||||||
\(84\) | 4.72454 | + | 11.6835i | 0.515490 | + | 1.27477i | ||||
\(85\) | −13.3844 | − | 3.71315i | −1.45174 | − | 0.402747i | ||||
\(86\) | −7.27557 | + | 7.78559i | −0.784545 | + | 0.839542i | ||||
\(87\) | −0.0320895 | − | 13.2852i | −0.00344035 | − | 1.42432i | ||||
\(88\) | 0.531179 | − | 9.55591i | 0.0566239 | − | 1.01866i | ||||
\(89\) | −0.544972 | − | 0.750090i | −0.0577669 | − | 0.0795093i | 0.779156 | − | 0.626830i | \(-0.215648\pi\) |
−0.836923 | + | 0.547320i | \(0.815648\pi\) | |||||||
\(90\) | −7.23649 | − | 6.13460i | −0.762793 | − | 0.646643i | ||||
\(91\) | −2.94504 | + | 4.05349i | −0.308724 | + | 0.424922i | ||||
\(92\) | 6.87270 | + | 8.22580i | 0.716529 | + | 0.857599i | ||||
\(93\) | −2.38447 | − | 3.26533i | −0.247258 | − | 0.338599i | ||||
\(94\) | −4.29420 | + | 2.37439i | −0.442913 | + | 0.244899i | ||||
\(95\) | −9.15424 | − | 2.53960i | −0.939205 | − | 0.260557i | ||||
\(96\) | −2.89150 | + | 9.36158i | −0.295112 | + | 0.955463i | ||||
\(97\) | 2.81383 | − | 8.66007i | 0.285701 | − | 0.879297i | −0.700487 | − | 0.713665i | \(-0.747034\pi\) |
0.986188 | − | 0.165631i | \(-0.0529662\pi\) | |||||||
\(98\) | 6.44286 | + | 6.02081i | 0.650828 | + | 0.608193i | ||||
\(99\) | −3.09022 | + | 9.66943i | −0.310579 | + | 0.971814i | ||||
\(100\) | −8.92047 | + | 4.51943i | −0.892047 | + | 0.451943i | ||||
\(101\) | 9.32445i | 0.927817i | 0.885883 | + | 0.463909i | \(0.153553\pi\) | ||||
−0.885883 | + | 0.463909i | \(0.846447\pi\) | |||||||
\(102\) | 1.83379 | − | 15.1047i | 0.181573 | − | 1.49559i | ||||
\(103\) | 0.687900 | + | 0.223512i | 0.0677808 | + | 0.0220233i | 0.342711 | − | 0.939441i | \(-0.388655\pi\) |
−0.274930 | + | 0.961464i | \(0.588655\pi\) | |||||||
\(104\) | −3.76581 | + | 0.996264i | −0.369268 | + | 0.0976918i | ||||
\(105\) | −13.5864 | − | 3.73386i | −1.32589 | − | 0.364387i | ||||
\(106\) | 4.49087 | + | 8.12197i | 0.436192 | + | 0.788876i | ||||
\(107\) | −6.00722 | −0.580740 | −0.290370 | − | 0.956914i | \(-0.593778\pi\) | ||||
−0.290370 | + | 0.956914i | \(0.593778\pi\) | |||||||
\(108\) | 5.46177 | − | 8.84133i | 0.525559 | − | 0.850757i | ||||
\(109\) | 14.7588 | + | 10.7229i | 1.41363 | + | 1.02706i | 0.992782 | + | 0.119934i | \(0.0382682\pi\) |
0.420850 | + | 0.907130i | \(0.361732\pi\) | |||||||
\(110\) | 8.12861 | + | 6.95864i | 0.775032 | + | 0.663481i | ||||
\(111\) | 0.639544 | − | 1.98461i | 0.0607028 | − | 0.188371i | ||||
\(112\) | 1.96436 | + | 14.4190i | 0.185615 | + | 1.36247i | ||||
\(113\) | −3.36663 | + | 4.63377i | −0.316706 | + | 0.435909i | −0.937458 | − | 0.348099i | \(-0.886827\pi\) |
0.620752 | + | 0.784007i | \(0.286827\pi\) | |||||||
\(114\) | 1.25422 | − | 10.3308i | 0.117468 | − | 0.967573i | ||||
\(115\) | −11.9729 | + | 0.521648i | −1.11648 | + | 0.0486439i | ||||
\(116\) | 3.74262 | − | 14.8769i | 0.347494 | − | 1.38128i | ||||
\(117\) | 4.13161 | − | 0.0199594i | 0.381968 | − | 0.00184525i | ||||
\(118\) | −1.77734 | − | 9.19549i | −0.163618 | − | 0.846513i | ||||
\(119\) | −6.98338 | − | 21.4926i | −0.640165 | − | 1.97023i | ||||
\(120\) | −6.35374 | − | 8.92356i | −0.580014 | − | 0.814606i | ||||
\(121\) | 0.138964 | − | 0.427687i | 0.0126331 | − | 0.0388806i | ||||
\(122\) | 12.8329 | + | 1.58944i | 1.16183 | + | 0.143901i | ||||
\(123\) | −7.16399 | − | 2.30860i | −0.645955 | − | 0.208160i | ||||
\(124\) | −1.73980 | − | 4.33250i | −0.156239 | − | 0.389070i | ||||
\(125\) | 2.04048 | − | 10.9926i | 0.182506 | − | 0.983205i | ||||
\(126\) | 1.82321 | − | 15.3269i | 0.162424 | − | 1.36543i | ||||
\(127\) | 5.76540 | + | 7.93539i | 0.511596 | + | 0.704152i | 0.984188 | − | 0.177130i | \(-0.0566812\pi\) |
−0.472591 | + | 0.881282i | \(0.656681\pi\) | |||||||
\(128\) | −5.89855 | + | 9.65438i | −0.521363 | + | 0.853335i | ||||
\(129\) | 12.4023 | − | 4.06290i | 1.09196 | − | 0.357718i | ||||
\(130\) | 1.67126 | − | 4.02172i | 0.146579 | − | 0.352728i | ||||
\(131\) | −5.69585 | − | 17.5300i | −0.497649 | − | 1.53161i | −0.812787 | − | 0.582561i | \(-0.802051\pi\) |
0.315138 | − | 0.949046i | \(-0.397949\pi\) | |||||||
\(132\) | −6.20850 | + | 9.94238i | −0.540381 | + | 0.865373i | ||||
\(133\) | −4.77627 | − | 14.6998i | −0.414155 | − | 1.27464i | ||||
\(134\) | 4.50826 | + | 2.10804i | 0.389454 | + | 0.182107i | ||||
\(135\) | 4.14680 | + | 10.8538i | 0.356900 | + | 0.934143i | ||||
\(136\) | 6.34830 | − | 16.3825i | 0.544363 | − | 1.40479i | ||||
\(137\) | −0.679592 | + | 0.935378i | −0.0580615 | + | 0.0799148i | −0.837060 | − | 0.547111i | \(-0.815728\pi\) |
0.778999 | + | 0.627025i | \(0.215728\pi\) | |||||||
\(138\) | −2.52247 | − | 12.8835i | −0.214727 | − | 1.09671i | ||||
\(139\) | 1.59335 | + | 2.19306i | 0.135146 | + | 0.186013i | 0.871226 | − | 0.490882i | \(-0.163325\pi\) |
−0.736080 | + | 0.676895i | \(0.763325\pi\) | |||||||
\(140\) | −14.1429 | − | 8.04286i | −1.19529 | − | 0.679746i | ||||
\(141\) | 6.00971 | − | 0.0145161i | 0.506109 | − | 0.00122248i | ||||
\(142\) | 0.331676 | − | 0.183393i | 0.0278337 | − | 0.0153900i | ||||
\(143\) | −4.66015 | −0.389702 | ||||||||
\(144\) | 8.62703 | − | 8.34112i | 0.718919 | − | 0.695093i | ||||
\(145\) | 10.6756 | + | 13.4236i | 0.886559 | + | 1.11477i | ||||
\(146\) | −8.15535 | − | 1.01010i | −0.674942 | − | 0.0835963i | ||||
\(147\) | −3.36220 | − | 10.2634i | −0.277309 | − | 0.846508i | ||||
\(148\) | 1.28019 | − | 2.03913i | 0.105231 | − | 0.167615i | ||||
\(149\) | − | 2.34464i | − | 0.192080i | −0.995377 | − | 0.0960401i | \(-0.969382\pi\) | ||
0.995377 | − | 0.0960401i | \(-0.0306177\pi\) | |||||||
\(150\) | 12.2405 | + | 0.413040i | 0.999431 | + | 0.0337246i | ||||
\(151\) | 16.3513i | 1.33065i | 0.746553 | + | 0.665326i | \(0.231707\pi\) | ||||
−0.746553 | + | 0.665326i | \(0.768293\pi\) | |||||||
\(152\) | 4.34191 | − | 11.2048i | 0.352175 | − | 0.908828i | ||||
\(153\) | −10.8806 | + | 15.1290i | −0.879643 | + | 1.22311i | ||||
\(154\) | −2.13991 | + | 17.2773i | −0.172439 | + | 1.39224i | ||||
\(155\) | 5.02988 | + | 1.39540i | 0.404009 | + | 0.112082i | ||||
\(156\) | 4.62946 | + | 1.15277i | 0.370654 | + | 0.0922953i | ||||
\(157\) | −0.162298 | −0.0129528 | −0.00647638 | − | 0.999979i | \(-0.502062\pi\) | ||||
−0.00647638 | + | 0.999979i | \(0.502062\pi\) | |||||||
\(158\) | −9.64058 | − | 17.4355i | −0.766963 | − | 1.38709i | ||||
\(159\) | −0.0274555 | − | 11.3667i | −0.00217736 | − | 0.901434i | ||||
\(160\) | −4.57260 | − | 11.7937i | −0.361496 | − | 0.932374i | ||||
\(161\) | −11.4608 | − | 15.7744i | −0.903234 | − | 1.24319i | ||||
\(162\) | −11.0786 | + | 6.26618i | −0.870415 | + | 0.492318i | ||||
\(163\) | −14.2007 | + | 19.5456i | −1.11229 | + | 1.53093i | −0.294284 | + | 0.955718i | \(0.595081\pi\) |
−0.818003 | + | 0.575214i | \(0.804919\pi\) | |||||||
\(164\) | −7.36078 | − | 4.62118i | −0.574781 | − | 0.360854i | ||||
\(165\) | −4.61804 | − | 12.2645i | −0.359514 | − | 0.954794i | ||||
\(166\) | 8.31322 | − | 17.7787i | 0.645231 | − | 1.37989i | ||||
\(167\) | −3.57484 | − | 11.0022i | −0.276630 | − | 0.851378i | −0.988784 | − | 0.149355i | \(-0.952280\pi\) |
0.712154 | − | 0.702023i | \(-0.247720\pi\) | |||||||
\(168\) | 6.39964 | − | 16.6341i | 0.493743 | − | 1.28335i | ||||
\(169\) | −3.43110 | − | 10.5598i | −0.263931 | − | 0.812295i | ||||
\(170\) | 10.2444 | + | 16.7604i | 0.785707 | + | 1.28547i | ||||
\(171\) | −7.44175 | + | 10.3474i | −0.569085 | + | 0.791289i | ||||
\(172\) | 15.0353 | − | 1.01945i | 1.14643 | − | 0.0777323i | ||||
\(173\) | 10.3709 | + | 14.2743i | 0.788481 | + | 1.08525i | 0.994295 | + | 0.106661i | \(0.0340158\pi\) |
−0.205814 | + | 0.978591i | \(0.565984\pi\) | |||||||
\(174\) | −12.7948 | + | 13.7581i | −0.969969 | + | 1.04300i | ||||
\(175\) | 16.7455 | − | 7.10443i | 1.26584 | − | 0.537044i | ||||
\(176\) | −9.77588 | + | 9.36095i | −0.736885 | + | 0.705608i | ||||
\(177\) | −3.51824 | + | 10.9177i | −0.264447 | + | 0.820624i | ||||
\(178\) | −0.161171 | + | 1.30126i | −0.0120802 | + | 0.0975337i | ||||
\(179\) | 1.38902 | − | 4.27496i | 0.103820 | − | 0.319525i | −0.885632 | − | 0.464388i | \(-0.846274\pi\) |
0.989452 | + | 0.144863i | \(0.0462742\pi\) | |||||||
\(180\) | 1.55378 | + | 13.3261i | 0.115812 | + | 0.993271i | ||||
\(181\) | 3.60059 | + | 11.0815i | 0.267630 | + | 0.823679i | 0.991076 | + | 0.133299i | \(0.0425570\pi\) |
−0.723446 | + | 0.690381i | \(0.757443\pi\) | |||||||
\(182\) | 6.95701 | − | 1.34468i | 0.515688 | − | 0.0996742i | ||||
\(183\) | −12.8349 | − | 9.27783i | −0.948785 | − | 0.685837i | ||||
\(184\) | 0.841337 | − | 15.1356i | 0.0620242 | − | 1.11581i | ||||
\(185\) | 0.942482 | + | 2.52149i | 0.0692927 | + | 0.185383i | ||||
\(186\) | −0.689142 | + | 5.67638i | −0.0505304 | + | 0.416212i | ||||
\(187\) | 12.3546 | − | 17.0047i | 0.903461 | − | 1.24351i | ||||
\(188\) | 6.72974 | + | 1.69302i | 0.490817 | + | 0.123477i | ||||
\(189\) | −11.0003 | + | 15.3737i | −0.800154 | + | 1.11827i | ||||
\(190\) | 7.00661 | + | 11.4633i | 0.508313 | + | 0.831633i | ||||
\(191\) | 15.7686 | + | 11.4565i | 1.14097 | + | 0.828967i | 0.987255 | − | 0.159148i | \(-0.0508746\pi\) |
0.153720 | + | 0.988114i | \(0.450875\pi\) | |||||||
\(192\) | 12.0271 | − | 6.88107i | 0.867980 | − | 0.496598i | ||||
\(193\) | 9.00500 | 0.648194 | 0.324097 | − | 0.946024i | \(-0.394940\pi\) | ||||
0.324097 | + | 0.946024i | \(0.394940\pi\) | |||||||
\(194\) | −11.2695 | + | 6.23121i | −0.809100 | + | 0.447375i | ||||
\(195\) | −4.16666 | + | 3.33015i | −0.298381 | + | 0.238477i | ||||
\(196\) | −0.843632 | − | 12.4422i | −0.0602594 | − | 0.888732i | ||||
\(197\) | 8.23977 | + | 2.67726i | 0.587059 | + | 0.190747i | 0.587460 | − | 0.809253i | \(-0.300128\pi\) |
−0.000401397 | 1.00000i | \(0.500128\pi\) | ||||||||
\(198\) | 12.5297 | − | 7.00727i | 0.890445 | − | 0.497985i | ||||
\(199\) | − | 8.35986i | − | 0.592615i | −0.955093 | − | 0.296307i | \(-0.904245\pi\) | ||
0.955093 | − | 0.296307i | \(-0.0957553\pi\) | |||||||
\(200\) | 13.5811 | + | 3.94366i | 0.960332 | + | 0.278859i | ||||
\(201\) | −3.59461 | − | 4.92251i | −0.253544 | − | 0.347207i | ||||
\(202\) | 9.00353 | − | 9.63468i | 0.633486 | − | 0.677894i | ||||
\(203\) | −8.62300 | + | 26.5389i | −0.605216 | + | 1.86266i | ||||
\(204\) | −16.4797 | + | 13.8366i | −1.15381 | + | 0.968755i | ||||
\(205\) | 9.10198 | − | 3.40214i | 0.635710 | − | 0.237616i | ||||
\(206\) | −0.494968 | − | 0.895174i | −0.0344860 | − | 0.0623697i | ||||
\(207\) | −4.89462 | + | 15.3154i | −0.340200 | + | 1.06450i | ||||
\(208\) | 4.85308 | + | 2.60679i | 0.336500 | + | 0.180749i | ||||
\(209\) | 8.44993 | − | 11.6303i | 0.584494 | − | 0.804487i | ||||
\(210\) | 10.4330 | + | 16.9769i | 0.719949 | + | 1.17151i | ||||
\(211\) | −11.3292 | − | 15.5933i | −0.779934 | − | 1.07349i | −0.995289 | − | 0.0969515i | \(-0.969091\pi\) |
0.215355 | − | 0.976536i | \(-0.430909\pi\) | |||||||
\(212\) | 3.20216 | − | 12.7285i | 0.219925 | − | 0.874198i | ||||
\(213\) | −0.464179 | + | 0.00112120i | −0.0318050 | + | 7.68231e-5i | ||||
\(214\) | 6.20709 | + | 5.80047i | 0.424308 | + | 0.396512i | ||||
\(215\) | −9.30062 | + | 14.0489i | −0.634297 | + | 0.958128i | ||||
\(216\) | −14.1805 | + | 3.86169i | −0.964863 | + | 0.262755i | ||||
\(217\) | 2.62436 | + | 8.07696i | 0.178153 | + | 0.548300i | ||||
\(218\) | −4.89597 | − | 25.3304i | −0.331597 | − | 1.71559i | ||||
\(219\) | 8.15665 | + | 5.89611i | 0.551176 | + | 0.398422i | ||||
\(220\) | −1.67990 | − | 15.0390i | −0.113259 | − | 1.01393i | ||||
\(221\) | −8.13625 | − | 2.64363i | −0.547303 | − | 0.177830i | ||||
\(222\) | −2.57713 | + | 1.43311i | −0.172966 | + | 0.0961840i | ||||
\(223\) | 4.28183 | + | 5.89343i | 0.286732 | + | 0.394653i | 0.927949 | − | 0.372706i | \(-0.121570\pi\) |
−0.641217 | + | 0.767360i | \(0.721570\pi\) | |||||||
\(224\) | 11.8930 | − | 16.7955i | 0.794637 | − | 1.12220i | ||||
\(225\) | −12.8933 | − | 7.66573i | −0.859552 | − | 0.511049i | ||||
\(226\) | 7.95294 | − | 1.53718i | 0.529021 | − | 0.102251i | ||||
\(227\) | −8.35344 | + | 6.06913i | −0.554437 | + | 0.402822i | −0.829419 | − | 0.558627i | \(-0.811328\pi\) |
0.274982 | + | 0.961449i | \(0.411328\pi\) | |||||||
\(228\) | −11.2712 | + | 9.46351i | −0.746456 | + | 0.626736i | ||||
\(229\) | 3.02619 | − | 9.31366i | 0.199976 | − | 0.615464i | −0.799906 | − | 0.600125i | \(-0.795117\pi\) |
0.999882 | − | 0.0153385i | \(-0.00488258\pi\) | |||||||
\(230\) | 12.8749 | + | 11.0218i | 0.848948 | + | 0.726758i | ||||
\(231\) | 12.4910 | − | 17.2800i | 0.821848 | − | 1.13694i | ||||
\(232\) | −18.2320 | + | 11.7580i | −1.19699 | + | 0.771951i | ||||
\(233\) | −6.58653 | + | 2.14009i | −0.431498 | + | 0.140202i | −0.516710 | − | 0.856161i | \(-0.672843\pi\) |
0.0852116 | + | 0.996363i | \(0.472843\pi\) | |||||||
\(234\) | −4.28835 | − | 3.96879i | −0.280338 | − | 0.259448i | ||||
\(235\) | −6.07233 | + | 4.82924i | −0.396115 | + | 0.315025i | ||||
\(236\) | −7.04254 | + | 11.2176i | −0.458430 | + | 0.730204i | ||||
\(237\) | 0.0589388 | + | 24.4008i | 0.00382848 | + | 1.58501i | ||||
\(238\) | −13.5372 | + | 28.9507i | −0.877487 | + | 1.87660i | ||||
\(239\) | 13.2117 | − | 9.59884i | 0.854592 | − | 0.620897i | −0.0718166 | − | 0.997418i | \(-0.522880\pi\) |
0.926408 | + | 0.376521i | \(0.122880\pi\) | |||||||
\(240\) | −2.05131 | + | 15.3555i | −0.132412 | + | 0.991195i | ||||
\(241\) | 2.80780 | + | 2.03999i | 0.180866 | + | 0.131407i | 0.674535 | − | 0.738243i | \(-0.264344\pi\) |
−0.493668 | + | 0.869650i | \(0.664344\pi\) | |||||||
\(242\) | −0.556555 | + | 0.307735i | −0.0357767 | + | 0.0197820i | ||||
\(243\) | 15.5873 | − | 0.188260i | 0.999927 | − | 0.0120769i | ||||
\(244\) | −11.7251 | − | 14.0335i | −0.750622 | − | 0.898405i | ||||
\(245\) | 11.6260 | + | 7.69661i | 0.742757 | + | 0.491718i | ||||
\(246\) | 5.17319 | + | 9.30284i | 0.329830 | + | 0.593127i | ||||
\(247\) | −5.56477 | − | 1.80810i | −0.354078 | − | 0.115047i | ||||
\(248\) | −2.38570 | + | 6.15657i | −0.151492 | + | 0.390942i | ||||
\(249\) | −19.4123 | + | 14.1757i | −1.23021 | + | 0.898346i | ||||
\(250\) | −12.7226 | + | 9.38804i | −0.804648 | + | 0.593752i | ||||
\(251\) | 20.3406 | 1.28389 | 0.641944 | − | 0.766752i | \(-0.278128\pi\) | ||||
0.641944 | + | 0.766752i | \(0.278128\pi\) | |||||||
\(252\) | −16.6833 | + | 14.0764i | −1.05095 | + | 0.886727i | ||||
\(253\) | 5.60409 | − | 17.2476i | 0.352326 | − | 1.08435i | ||||
\(254\) | 1.70506 | − | 13.7664i | 0.106985 | − | 0.863780i | ||||
\(255\) | −1.10525 | − | 24.0326i | −0.0692132 | − | 1.50498i | ||||
\(256\) | 15.4169 | − | 4.28005i | 0.963557 | − | 0.267503i | ||||
\(257\) | − | 8.16406i | − | 0.509260i | −0.967039 | − | 0.254630i | \(-0.918046\pi\) | ||
0.967039 | − | 0.254630i | \(-0.0819537\pi\) | |||||||
\(258\) | −16.7380 | − | 7.77738i | −1.04206 | − | 0.484199i | ||||
\(259\) | −2.57428 | + | 3.54320i | −0.159958 | + | 0.220164i | ||||
\(260\) | −5.61017 | + | 2.54178i | −0.347928 | + | 0.157635i | ||||
\(261\) | 21.8498 | − | 7.21631i | 1.35247 | − | 0.446678i | ||||
\(262\) | −11.0414 | + | 23.6131i | −0.682137 | + | 1.45882i | ||||
\(263\) | −7.99088 | − | 5.80572i | −0.492739 | − | 0.357996i | 0.313498 | − | 0.949589i | \(-0.398499\pi\) |
−0.806237 | + | 0.591593i | \(0.798499\pi\) | |||||||
\(264\) | 16.0153 | − | 4.27834i | 0.985671 | − | 0.263313i | ||||
\(265\) | 9.13393 | + | 11.4851i | 0.561093 | + | 0.705523i | ||||
\(266\) | −9.25874 | + | 19.8008i | −0.567690 | + | 1.21406i | ||||
\(267\) | 0.940778 | − | 1.30147i | 0.0575747 | − | 0.0796487i | ||||
\(268\) | −2.62277 | − | 6.53127i | −0.160211 | − | 0.398961i | ||||
\(269\) | −0.863316 | + | 0.280508i | −0.0526373 | + | 0.0171029i | −0.335217 | − | 0.942141i | \(-0.608810\pi\) |
0.282580 | + | 0.959244i | \(0.408810\pi\) | |||||||
\(270\) | 6.19544 | − | 15.2190i | 0.377042 | − | 0.926196i | ||||
\(271\) | 24.5682 | + | 7.98268i | 1.49241 | + | 0.484913i | 0.937794 | − | 0.347193i | \(-0.112865\pi\) |
0.554616 | + | 0.832107i | \(0.312865\pi\) | |||||||
\(272\) | −22.3782 | + | 10.7978i | −1.35688 | + | 0.654710i | ||||
\(273\) | −8.25997 | − | 2.66179i | −0.499916 | − | 0.161099i | ||||
\(274\) | 1.60539 | − | 0.310296i | 0.0969851 | − | 0.0187457i | ||||
\(275\) | 14.5006 | + | 8.71643i | 0.874417 | + | 0.525621i | ||||
\(276\) | −9.83368 | + | 15.7478i | −0.591918 | + | 0.947904i | ||||
\(277\) | −17.2941 | + | 12.5649i | −1.03910 | + | 0.754951i | −0.970110 | − | 0.242666i | \(-0.921978\pi\) |
−0.0689913 | + | 0.997617i | \(0.521978\pi\) | |||||||
\(278\) | 0.471219 | − | 3.80454i | 0.0282619 | − | 0.228181i | ||||
\(279\) | 4.08894 | − | 5.68549i | 0.244798 | − | 0.340382i | ||||
\(280\) | 6.84736 | + | 21.9666i | 0.409208 | + | 1.31275i | ||||
\(281\) | 4.36744 | − | 1.41907i | 0.260540 | − | 0.0846544i | −0.175835 | − | 0.984420i | \(-0.556262\pi\) |
0.436374 | + | 0.899765i | \(0.356262\pi\) | |||||||
\(282\) | −6.22367 | − | 5.78788i | −0.370614 | − | 0.344663i | ||||
\(283\) | 12.9781 | − | 4.21684i | 0.771468 | − | 0.250665i | 0.103275 | − | 0.994653i | \(-0.467068\pi\) |
0.668193 | + | 0.743988i | \(0.267068\pi\) | |||||||
\(284\) | −0.519793 | − | 0.130766i | −0.0308440 | − | 0.00775954i | ||||
\(285\) | −0.755931 | − | 16.4371i | −0.0447775 | − | 0.973648i | ||||
\(286\) | 4.81520 | + | 4.49977i | 0.284729 | + | 0.266077i | ||||
\(287\) | 12.7901 | + | 9.29257i | 0.754977 | + | 0.548523i | ||||
\(288\) | −16.9681 | + | 0.288516i | −0.999855 | + | 0.0170010i | ||||
\(289\) | 17.4634 | − | 12.6879i | 1.02726 | − | 0.746347i | ||||
\(290\) | 1.93081 | − | 24.1784i | 0.113381 | − | 1.41980i | ||||
\(291\) | 15.7715 | − | 0.0380952i | 0.924545 | − | 0.00223318i | ||||
\(292\) | 7.45135 | + | 8.91838i | 0.436057 | + | 0.521909i | ||||
\(293\) | 14.2787i | 0.834169i | 0.908868 | + | 0.417085i | \(0.136948\pi\) | ||||
−0.908868 | + | 0.417085i | \(0.863052\pi\) | |||||||
\(294\) | −6.43607 | + | 13.8513i | −0.375359 | + | 0.807825i | ||||
\(295\) | −5.18475 | − | 13.8711i | −0.301868 | − | 0.807608i | ||||
\(296\) | −3.29173 | + | 0.870845i | −0.191328 | + | 0.0506168i | ||||
\(297\) | −17.5820 | + | 0.127406i | −1.02021 | + | 0.00739287i | ||||
\(298\) | −2.26394 | + | 2.42265i | −0.131147 | + | 0.140340i | ||||
\(299\) | −7.38124 | −0.426868 | ||||||||
\(300\) | −12.2489 | − | 12.2460i | −0.707191 | − | 0.707023i | ||||
\(301\) | −27.4123 | −1.58002 | ||||||||
\(302\) | 15.7886 | − | 16.8953i | 0.908530 | − | 0.972218i | ||||
\(303\) | −15.3479 | + | 5.02784i | −0.881711 | + | 0.288842i | ||||
\(304\) | −15.3055 | + | 7.38510i | −0.877832 | + | 0.423565i | ||||
\(305\) | 20.4262 | − | 0.889952i | 1.16960 | − | 0.0509585i | ||||
\(306\) | 25.8509 | − | 5.12624i | 1.47780 | − | 0.293048i | ||||
\(307\) | − | 16.1588i | − | 0.922229i | −0.887341 | − | 0.461115i | \(-0.847450\pi\) | ||
0.887341 | − | 0.461115i | \(-0.152550\pi\) | |||||||
\(308\) | 18.8937 | − | 15.7858i | 1.07657 | − | 0.899481i | ||||
\(309\) | 0.00302604 | + | 1.25279i | 0.000172145 | + | 0.0712688i | ||||
\(310\) | −3.84984 | − | 6.29860i | −0.218656 | − | 0.357736i | ||||
\(311\) | −3.85464 | + | 2.80056i | −0.218576 | + | 0.158805i | −0.691686 | − | 0.722199i | \(-0.743132\pi\) |
0.473109 | + | 0.881004i | \(0.343132\pi\) | |||||||
\(312\) | −3.67040 | − | 5.66126i | −0.207795 | − | 0.320505i | ||||
\(313\) | −9.10105 | − | 6.61230i | −0.514422 | − | 0.373749i | 0.300077 | − | 0.953915i | \(-0.402988\pi\) |
−0.814498 | + | 0.580166i | \(0.802988\pi\) | |||||||
\(314\) | 0.167697 | + | 0.156712i | 0.00946371 | + | 0.00884377i | ||||
\(315\) | −1.18006 | − | 24.3762i | −0.0664887 | − | 1.37345i | ||||
\(316\) | −6.87408 | + | 27.3244i | −0.386697 | + | 1.53711i | ||||
\(317\) | −9.95192 | + | 3.23358i | −0.558956 | + | 0.181616i | −0.574851 | − | 0.818258i | \(-0.694940\pi\) |
0.0158956 | + | 0.999874i | \(0.494940\pi\) | |||||||
\(318\) | −10.9471 | + | 11.7713i | −0.613882 | + | 0.660104i | ||||
\(319\) | −24.6837 | + | 8.02022i | −1.38202 | + | 0.449046i | ||||
\(320\) | −6.66307 | + | 16.6013i | −0.372477 | + | 0.928042i | ||||
\(321\) | −3.23916 | − | 9.88777i | −0.180792 | − | 0.551882i | ||||
\(322\) | −3.38941 | + | 27.3655i | −0.188885 | + | 1.52502i | ||||
\(323\) | 21.3506 | − | 15.5121i | 1.18798 | − | 0.863117i | ||||
\(324\) | 17.4977 | + | 4.22263i | 0.972094 | + | 0.234591i | ||||
\(325\) | 1.55027 | − | 6.70932i | 0.0859932 | − | 0.372166i | ||||
\(326\) | 33.5461 | − | 6.48394i | 1.85795 | − | 0.359112i | ||||
\(327\) | −9.69155 | + | 30.0745i | −0.535944 | + | 1.66312i | ||||
\(328\) | 3.14355 | + | 11.8824i | 0.173573 | + | 0.656095i | ||||
\(329\) | −12.0052 | − | 3.90072i | −0.661868 | − | 0.215054i | ||||
\(330\) | −7.07076 | + | 17.1317i | −0.389233 | + | 0.943069i | ||||
\(331\) | −10.8436 | + | 3.52330i | −0.596019 | + | 0.193658i | −0.591464 | − | 0.806331i | \(-0.701450\pi\) |
−0.00455483 | + | 0.999990i | \(0.501450\pi\) | |||||||
\(332\) | −25.7566 | + | 10.3431i | −1.41358 | + | 0.567652i | ||||
\(333\) | 3.61148 | − | 0.0174467i | 0.197908 | − | 0.000956075i | ||||
\(334\) | −6.92980 | + | 14.8201i | −0.379182 | + | 0.810920i | ||||
\(335\) | 7.58258 | + | 2.10358i | 0.414280 | + | 0.114931i | ||||
\(336\) | −22.6742 | + | 11.0082i | −1.23698 | + | 0.600545i | ||||
\(337\) | −25.4540 | − | 18.4934i | −1.38657 | − | 1.00740i | −0.996232 | − | 0.0867248i | \(-0.972360\pi\) |
−0.390333 | − | 0.920674i | \(-0.627640\pi\) | |||||||
\(338\) | −6.65115 | + | 14.2242i | −0.361775 | + | 0.773693i | ||||
\(339\) | −9.44242 | − | 3.04283i | −0.512842 | − | 0.165264i | ||||
\(340\) | 5.59841 | − | 27.2099i | 0.303616 | − | 1.47566i | ||||
\(341\) | −4.64289 | + | 6.39039i | −0.251427 | + | 0.346059i | ||||
\(342\) | 17.6807 | − | 3.50608i | 0.956061 | − | 0.189587i | ||||
\(343\) | − | 2.78163i | − | 0.150194i | ||||||
\(344\) | −16.5199 | − | 13.4644i | −0.890692 | − | 0.725954i | ||||
\(345\) | −7.31453 | − | 19.4259i | −0.393801 | − | 1.04585i | ||||
\(346\) | 3.06709 | − | 24.7631i | 0.164888 | − | 1.33127i | ||||
\(347\) | −0.531744 | + | 1.63654i | −0.0285455 | + | 0.0878541i | −0.964314 | − | 0.264760i | \(-0.914707\pi\) |
0.935769 | + | 0.352614i | \(0.114707\pi\) | |||||||
\(348\) | 26.5051 | − | 1.86147i | 1.42082 | − | 0.0997855i | ||||
\(349\) | 3.32837 | 0.178164 | 0.0890819 | − | 0.996024i | \(-0.471607\pi\) | ||||
0.0890819 | + | 0.996024i | \(0.471607\pi\) | |||||||
\(350\) | −24.1626 | − | 8.82840i | −1.29154 | − | 0.471898i | ||||
\(351\) | 2.26066 | + | 6.78979i | 0.120665 | + | 0.362412i | ||||
\(352\) | 19.1399 | − | 0.232962i | 1.02016 | − | 0.0124169i | ||||
\(353\) | 22.2463 | + | 7.22826i | 1.18405 | + | 0.384721i | 0.833870 | − | 0.551961i | \(-0.186120\pi\) |
0.350180 | + | 0.936682i | \(0.386120\pi\) | |||||||
\(354\) | 14.1772 | − | 7.88377i | 0.753511 | − | 0.419018i | ||||
\(355\) | 0.469015 | − | 0.373002i | 0.0248928 | − | 0.0197969i | ||||
\(356\) | 1.42301 | − | 1.18893i | 0.0754194 | − | 0.0630133i | ||||
\(357\) | 31.6109 | − | 23.0836i | 1.67303 | − | 1.22171i | ||||
\(358\) | −5.56306 | + | 3.07598i | −0.294017 | + | 0.162570i | ||||
\(359\) | 8.50264 | + | 6.17753i | 0.448752 | + | 0.326037i | 0.789103 | − | 0.614261i | \(-0.210546\pi\) |
−0.340351 | + | 0.940299i | \(0.610546\pi\) | |||||||
\(360\) | 11.2620 | − | 15.2698i | 0.593560 | − | 0.804790i | ||||
\(361\) | −0.768634 | + | 0.558445i | −0.0404544 | + | 0.0293918i | ||||
\(362\) | 6.97970 | − | 14.9268i | 0.366845 | − | 0.784537i | ||||
\(363\) | 0.778895 | − | 0.00188137i | 0.0408814 | − | 9.87465e-5i | ||||
\(364\) | −8.48687 | − | 5.32815i | −0.444833 | − | 0.279271i | ||||
\(365\) | −12.9810 | + | 0.565569i | −0.679454 | + | 0.0296032i | ||||
\(366\) | 4.30343 | + | 21.9797i | 0.224944 | + | 1.14890i | ||||
\(367\) | −9.56428 | + | 3.10762i | −0.499251 | + | 0.162217i | −0.547808 | − | 0.836604i | \(-0.684538\pi\) |
0.0485572 | + | 0.998820i | \(0.484538\pi\) | |||||||
\(368\) | −15.4841 | + | 14.8268i | −0.807162 | + | 0.772902i | ||||
\(369\) | −0.0629786 | − | 13.0366i | −0.00327854 | − | 0.678659i | ||||
\(370\) | 1.46087 | − | 3.51542i | 0.0759469 | − | 0.182758i | ||||
\(371\) | −7.37776 | + | 22.7064i | −0.383034 | + | 1.17886i | ||||
\(372\) | 6.19309 | − | 5.19981i | 0.321097 | − | 0.269598i | ||||
\(373\) | −2.14363 | + | 1.55744i | −0.110993 | + | 0.0806413i | −0.641897 | − | 0.766791i | \(-0.721852\pi\) |
0.530904 | + | 0.847432i | \(0.321852\pi\) | |||||||
\(374\) | −29.1852 | + | 5.64103i | −1.50913 | + | 0.291691i | ||||
\(375\) | 19.1938 | − | 2.56872i | 0.991163 | − | 0.132648i | ||||
\(376\) | −5.31889 | − | 8.24748i | −0.274301 | − | 0.425331i | ||||
\(377\) | 6.20911 | + | 8.54610i | 0.319785 | + | 0.440147i | ||||
\(378\) | 26.2108 | − | 5.26345i | 1.34814 | − | 0.270722i | ||||
\(379\) | −12.2464 | − | 3.97908i | −0.629053 | − | 0.204392i | −0.0228974 | − | 0.999738i | \(-0.507289\pi\) |
−0.606156 | + | 0.795346i | \(0.707289\pi\) | |||||||
\(380\) | 3.82902 | − | 18.6101i | 0.196425 | − | 0.954680i | ||||
\(381\) | −9.95274 | + | 13.7686i | −0.509894 | + | 0.705386i | ||||
\(382\) | −5.23096 | − | 27.0636i | −0.267639 | − | 1.38469i | ||||
\(383\) | −9.04763 | − | 27.8457i | −0.462312 | − | 1.42285i | −0.862332 | − | 0.506344i | \(-0.830997\pi\) |
0.400020 | − | 0.916507i | \(-0.369003\pi\) | |||||||
\(384\) | −19.0715 | − | 4.50315i | −0.973238 | − | 0.229800i | ||||
\(385\) | 1.19817 | + | 27.5004i | 0.0610643 | + | 1.40155i | ||||
\(386\) | −9.30461 | − | 8.69508i | −0.473592 | − | 0.442568i | ||||
\(387\) | 13.3749 | + | 18.2232i | 0.679884 | + | 0.926336i | ||||
\(388\) | 17.6612 | + | 4.44308i | 0.896610 | + | 0.225563i | ||||
\(389\) | 16.7430 | + | 23.0447i | 0.848902 | + | 1.16841i | 0.984104 | + | 0.177596i | \(0.0568319\pi\) |
−0.135201 | + | 0.990818i | \(0.543168\pi\) | |||||||
\(390\) | 7.52083 | + | 0.582313i | 0.380832 | + | 0.0294866i | ||||
\(391\) | 19.5686 | − | 26.9338i | 0.989625 | − | 1.36210i | ||||
\(392\) | −11.1423 | + | 13.6708i | −0.562773 | + | 0.690480i | ||||
\(393\) | 25.7828 | − | 18.8276i | 1.30057 | − | 0.949729i | ||||
\(394\) | −5.92879 | − | 10.7225i | −0.298688 | − | 0.540193i | ||||
\(395\) | −19.6079 | − | 24.6551i | −0.986578 | − | 1.24053i | ||||
\(396\) | −19.7126 | − | 4.85805i | −0.990598 | − | 0.244126i | ||||
\(397\) | 5.94337 | − | 18.2918i | 0.298289 | − | 0.918040i | −0.683807 | − | 0.729663i | \(-0.739677\pi\) |
0.982097 | − | 0.188377i | \(-0.0603228\pi\) | |||||||
\(398\) | −8.07214 | + | 8.63800i | −0.404620 | + | 0.432984i | ||||
\(399\) | 21.6202 | − | 15.7880i | 1.08237 | − | 0.790386i | ||||
\(400\) | −10.2251 | − | 17.1886i | −0.511254 | − | 0.859430i | ||||
\(401\) | 24.8100i | 1.23895i | 0.785016 | + | 0.619475i | \(0.212654\pi\) | ||||
−0.785016 | + | 0.619475i | \(0.787346\pi\) | |||||||
\(402\) | −1.03889 | + | 8.55718i | −0.0518150 | + | 0.426793i | ||||
\(403\) | 3.05761 | + | 0.993478i | 0.152311 | + | 0.0494887i | ||||
\(404\) | −18.6062 | + | 1.26157i | −0.925692 | + | 0.0627655i | ||||
\(405\) | −15.6291 | + | 12.6780i | −0.776615 | + | 0.629976i | ||||
\(406\) | 34.5354 | − | 19.0956i | 1.71396 | − | 0.947699i | ||||
\(407\) | −4.07349 | −0.201915 | ||||||||
\(408\) | 30.3884 | + | 1.61556i | 1.50445 | + | 0.0799823i | ||||
\(409\) | 22.6292 | + | 16.4411i | 1.11894 | + | 0.812958i | 0.984048 | − | 0.177903i | \(-0.0569312\pi\) |
0.134892 | + | 0.990860i | \(0.456931\pi\) | |||||||
\(410\) | −12.6899 | − | 5.27339i | −0.626707 | − | 0.260434i | ||||
\(411\) | −1.90606 | − | 0.614230i | −0.0940189 | − | 0.0302977i | ||||
\(412\) | −0.352930 | + | 1.40289i | −0.0173876 | + | 0.0691154i | ||||
\(413\) | 14.1616 | − | 19.4917i | 0.696846 | − | 0.959126i | ||||
\(414\) | 19.8458 | − | 11.0988i | 0.975368 | − | 0.545478i | ||||
\(415\) | 8.29566 | − | 29.9025i | 0.407218 | − | 1.46786i | ||||
\(416\) | −2.49747 | − | 7.37958i | −0.122448 | − | 0.361814i | ||||
\(417\) | −2.75058 | + | 3.80515i | −0.134697 | + | 0.186339i | ||||
\(418\) | −19.9611 | + | 3.85817i | −0.976331 | + | 0.188709i | ||||
\(419\) | 6.43124 | + | 19.7933i | 0.314187 | + | 0.966968i | 0.976088 | + | 0.217376i | \(0.0697499\pi\) |
−0.661901 | + | 0.749591i | \(0.730250\pi\) | |||||||
\(420\) | 5.61241 | − | 27.6157i | 0.273858 | − | 1.34751i | ||||
\(421\) | −8.09209 | + | 24.9049i | −0.394385 | + | 1.21379i | 0.535055 | + | 0.844817i | \(0.320291\pi\) |
−0.929440 | + | 0.368974i | \(0.879709\pi\) | |||||||
\(422\) | −3.35051 | + | 27.0514i | −0.163100 | + | 1.31684i | ||||
\(423\) | 3.26439 | + | 9.88404i | 0.158720 | + | 0.480578i | ||||
\(424\) | −15.5991 | + | 10.0600i | −0.757561 | + | 0.488559i | ||||
\(425\) | 20.3721 | + | 23.4441i | 0.988192 | + | 1.13721i | ||||
\(426\) | 0.480705 | + | 0.447045i | 0.0232902 | + | 0.0216594i | ||||
\(427\) | 19.5525 | + | 26.9117i | 0.946211 | + | 1.30235i | ||||
\(428\) | −0.812759 | − | 11.9869i | −0.0392862 | − | 0.579410i | ||||
\(429\) | −2.51280 | − | 7.67052i | −0.121319 | − | 0.370336i | ||||
\(430\) | 23.1755 | − | 5.53580i | 1.11762 | − | 0.266960i | ||||
\(431\) | −1.53657 | − | 4.72908i | −0.0740141 | − | 0.227792i | 0.907205 | − | 0.420689i | \(-0.138212\pi\) |
−0.981219 | + | 0.192897i | \(0.938212\pi\) | |||||||
\(432\) | 18.3811 | + | 9.70231i | 0.884362 | + | 0.466803i | ||||
\(433\) | 11.8150 | + | 36.3627i | 0.567791 | + | 1.74748i | 0.659511 | + | 0.751695i | \(0.270764\pi\) |
−0.0917199 | + | 0.995785i | \(0.529236\pi\) | |||||||
\(434\) | 5.08730 | − | 10.8797i | 0.244198 | − | 0.522244i | ||||
\(435\) | −16.3386 | + | 24.8099i | −0.783374 | + | 1.18955i | ||||
\(436\) | −19.3998 | + | 30.9007i | −0.929081 | + | 1.47987i | ||||
\(437\) | 13.3839 | − | 18.4213i | 0.640238 | − | 0.881212i | ||||
\(438\) | −2.73485 | − | 13.9682i | −0.130676 | − | 0.667427i | ||||
\(439\) | −7.36158 | − | 10.1323i | −0.351349 | − | 0.483591i | 0.596364 | − | 0.802714i | \(-0.296612\pi\) |
−0.947713 | + | 0.319124i | \(0.896612\pi\) | |||||||
\(440\) | −12.7856 | + | 17.1615i | −0.609531 | + | 0.818140i | ||||
\(441\) | 15.0804 | − | 11.0682i | 0.718112 | − | 0.527058i | ||||
\(442\) | 5.85430 | + | 10.5878i | 0.278461 | + | 0.503611i | ||||
\(443\) | −29.8045 | −1.41606 | −0.708028 | − | 0.706184i | \(-0.750415\pi\) | ||||
−0.708028 | + | 0.706184i | \(0.750415\pi\) | |||||||
\(444\) | 4.04666 | + | 1.00765i | 0.192046 | + | 0.0478207i | ||||
\(445\) | 0.0902417 | + | 2.07123i | 0.00427787 | + | 0.0981858i | ||||
\(446\) | 1.26631 | − | 10.2240i | 0.0599616 | − | 0.484119i | ||||
\(447\) | 3.85923 | − | 1.26425i | 0.182535 | − | 0.0597972i | ||||
\(448\) | −28.5062 | + | 5.87057i | −1.34679 | + | 0.277358i | ||||
\(449\) | − | 7.47610i | − | 0.352819i | −0.984317 | − | 0.176410i | \(-0.943552\pi\) | ||
0.984317 | − | 0.176410i | \(-0.0564483\pi\) | |||||||
\(450\) | 5.92034 | + | 20.3703i | 0.279088 | + | 0.960266i | ||||
\(451\) | 14.7043i | 0.692400i | ||||||||
\(452\) | −9.70181 | − | 6.09090i | −0.456335 | − | 0.286492i | ||||
\(453\) | −26.9140 | + | 8.81680i | −1.26453 | + | 0.414250i | ||||
\(454\) | 14.4916 | + | 1.79489i | 0.680125 | + | 0.0842383i | ||||
\(455\) | 10.4944 | − | 3.92262i | 0.491987 | − | 0.183895i | ||||
\(456\) | 20.7841 | + | 1.10496i | 0.973303 | + | 0.0517445i | ||||
\(457\) | −17.8256 | −0.833847 | −0.416923 | − | 0.908942i | \(-0.636892\pi\) | ||||
−0.416923 | + | 0.908942i | \(0.636892\pi\) | |||||||
\(458\) | −12.1200 | + | 6.70149i | −0.566330 | + | 0.313140i | ||||
\(459\) | −30.7690 | − | 9.75151i | −1.43617 | − | 0.455162i | ||||
\(460\) | −2.66080 | − | 23.8204i | −0.124061 | − | 1.11063i | ||||
\(461\) | 12.7878 | + | 17.6009i | 0.595589 | + | 0.819758i | 0.995296 | − | 0.0968854i | \(-0.0308880\pi\) |
−0.399707 | + | 0.916643i | \(0.630888\pi\) | |||||||
\(462\) | −29.5919 | + | 5.79383i | −1.37674 | + | 0.269553i | ||||
\(463\) | 1.61013 | − | 2.21616i | 0.0748292 | − | 0.102994i | −0.769962 | − | 0.638090i | \(-0.779725\pi\) |
0.844791 | + | 0.535096i | \(0.179725\pi\) | |||||||
\(464\) | 30.1919 | + | 5.45531i | 1.40163 | + | 0.253256i | ||||
\(465\) | 0.415353 | + | 9.03149i | 0.0192615 | + | 0.418826i | ||||
\(466\) | 8.87211 | + | 4.14855i | 0.410993 | + | 0.192178i | ||||
\(467\) | −0.871858 | − | 2.68330i | −0.0403448 | − | 0.124169i | 0.928856 | − | 0.370442i | \(-0.120794\pi\) |
−0.969200 | + | 0.246274i | \(0.920794\pi\) | |||||||
\(468\) | 0.598822 | + | 8.24159i | 0.0276806 | + | 0.380968i | ||||
\(469\) | 3.95625 | + | 12.1761i | 0.182682 | + | 0.562239i | ||||
\(470\) | 10.9374 | + | 0.873428i | 0.504504 | + | 0.0402882i | ||||
\(471\) | −0.0875126 | − | 0.267139i | −0.00403237 | − | 0.0123091i | ||||
\(472\) | 18.1084 | − | 4.79066i | 0.833506 | − | 0.220508i | ||||
\(473\) | −14.9863 | − | 20.6268i | −0.689069 | − | 0.948422i | ||||
\(474\) | 23.5002 | − | 25.2696i | 1.07940 | − | 1.16067i | ||||
\(475\) | 13.9335 | + | 16.0345i | 0.639311 | + | 0.735715i | ||||
\(476\) | 41.9420 | − | 16.8427i | 1.92241 | − | 0.771982i | ||||
\(477\) | 18.6945 | − | 6.17421i | 0.855962 | − | 0.282698i | ||||
\(478\) | −22.9197 | − | 2.83877i | −1.04832 | − | 0.129842i | ||||
\(479\) | −1.14734 | + | 3.53116i | −0.0524235 | + | 0.161343i | −0.973841 | − | 0.227232i | \(-0.927032\pi\) |
0.921417 | + | 0.388575i | \(0.127032\pi\) | |||||||
\(480\) | 16.9466 | − | 13.8857i | 0.773503 | − | 0.633793i | ||||
\(481\) | 0.512336 | + | 1.57681i | 0.0233605 | + | 0.0718963i | ||||
\(482\) | −0.931440 | − | 4.81902i | −0.0424259 | − | 0.219500i | ||||
\(483\) | 19.7846 | − | 27.3699i | 0.900229 | − | 1.24537i | ||||
\(484\) | 0.872216 | + | 0.219426i | 0.0396462 | + | 0.00997393i | ||||
\(485\) | −15.9359 | + | 12.6736i | −0.723611 | + | 0.575478i | ||||
\(486\) | −16.2877 | − | 14.8563i | −0.738825 | − | 0.673897i | ||||
\(487\) | 13.0227 | − | 17.9242i | 0.590115 | − | 0.812224i | −0.404644 | − | 0.914475i | \(-0.632604\pi\) |
0.994759 | + | 0.102251i | \(0.0326044\pi\) | |||||||
\(488\) | −1.43535 | + | 25.8220i | −0.0649754 | + | 1.16891i | ||||
\(489\) | −39.8289 | − | 12.8349i | −1.80113 | − | 0.580415i | ||||
\(490\) | −4.58108 | − | 19.1786i | −0.206952 | − | 0.866399i | ||||
\(491\) | −25.8293 | − | 18.7661i | −1.16566 | − | 0.846903i | −0.175178 | − | 0.984537i | \(-0.556050\pi\) |
−0.990483 | + | 0.137634i | \(0.956050\pi\) | |||||||
\(492\) | 3.63737 | − | 14.6075i | 0.163985 | − | 0.658557i | ||||
\(493\) | −47.6455 | −2.14584 | ||||||||
\(494\) | 4.00404 | + | 7.24151i | 0.180150 | + | 0.325811i | ||||
\(495\) | 17.6971 | − | 14.2144i | 0.795426 | − | 0.638889i | ||||
\(496\) | 8.40975 | − | 4.05781i | 0.377609 | − | 0.182201i | ||||
\(497\) | 0.927259 | + | 0.301285i | 0.0415933 | + | 0.0135145i | ||||
\(498\) | 33.7460 | + | 4.09694i | 1.51219 | + | 0.183588i | ||||
\(499\) | 23.3236i | 1.04411i | 0.852912 | + | 0.522055i | \(0.174834\pi\) | ||||
−0.852912 | + | 0.522055i | \(0.825166\pi\) | |||||||
\(500\) | 22.2108 | + | 2.58435i | 0.993299 | + | 0.115575i | ||||
\(501\) | 16.1819 | − | 11.8166i | 0.722953 | − | 0.527929i | ||||
\(502\) | −21.0174 | − | 19.6406i | −0.938050 | − | 0.876601i | ||||
\(503\) | 5.46519 | − | 16.8201i | 0.243681 | − | 0.749973i | −0.752170 | − | 0.658970i | \(-0.770993\pi\) |
0.995851 | − | 0.0910034i | \(-0.0290074\pi\) | |||||||
\(504\) | 30.8302 | + | 1.56438i | 1.37329 | + | 0.0696832i | ||||
\(505\) | 11.5095 | − | 17.3855i | 0.512167 | − | 0.773647i | ||||
\(506\) | −22.4446 | + | 12.4102i | −0.997782 | + | 0.551703i | ||||
\(507\) | 15.5312 | − | 11.3415i | 0.689765 | − | 0.503693i | ||||
\(508\) | −15.0544 | + | 12.5780i | −0.667930 | + | 0.558059i | ||||
\(509\) | 3.42217 | − | 4.71021i | 0.151685 | − | 0.208776i | −0.726412 | − | 0.687260i | \(-0.758813\pi\) |
0.878097 | + | 0.478484i | \(0.158813\pi\) | |||||||
\(510\) | −22.0635 | + | 25.8994i | −0.976988 | + | 1.14685i | ||||
\(511\) | −12.4257 | − | 17.1025i | −0.549681 | − | 0.756570i | ||||
\(512\) | −20.0626 | − | 10.4639i | −0.886650 | − | 0.462442i | ||||
\(513\) | −21.0444 | − | 6.66953i | −0.929131 | − | 0.294467i | ||||
\(514\) | −7.88309 | + | 8.43569i | −0.347708 | + | 0.372082i | ||||
\(515\) | −1.00671 | − | 1.26584i | −0.0443609 | − | 0.0557798i | ||||
\(516\) | 9.78517 | + | 24.1981i | 0.430768 | + | 1.06526i | ||||
\(517\) | −3.62805 | − | 11.1660i | −0.159562 | − | 0.491080i | ||||
\(518\) | 6.08119 | − | 1.17540i | 0.267192 | − | 0.0516440i | ||||
\(519\) | −17.9031 | + | 24.7671i | −0.785858 | + | 1.08715i | ||||
\(520\) | 8.25113 | + | 2.79074i | 0.361836 | + | 0.122382i | ||||
\(521\) | −2.45083 | − | 0.796324i | −0.107373 | − | 0.0348876i | 0.254838 | − | 0.966984i | \(-0.417978\pi\) |
−0.362211 | + | 0.932096i | \(0.617978\pi\) | |||||||
\(522\) | −29.5447 | − | 13.6414i | −1.29314 | − | 0.597068i | ||||
\(523\) | 6.59764 | + | 9.08088i | 0.288495 | + | 0.397079i | 0.928524 | − | 0.371271i | \(-0.121078\pi\) |
−0.640030 | + | 0.768350i | \(0.721078\pi\) | |||||||
\(524\) | 34.2091 | − | 13.7374i | 1.49443 | − | 0.600120i | ||||
\(525\) | 20.7231 | + | 23.7320i | 0.904430 | + | 1.03575i | ||||
\(526\) | 2.65084 | + | 13.7147i | 0.115582 | + | 0.597991i | ||||
\(527\) | −11.7313 | + | 8.52327i | −0.511022 | + | 0.371279i | ||||
\(528\) | −20.6792 | − | 11.0434i | −0.899946 | − | 0.480602i | ||||
\(529\) | 1.76895 | − | 5.44428i | 0.0769110 | − | 0.236708i | ||||
\(530\) | 1.65199 | − | 20.6868i | 0.0717577 | − | 0.898576i | ||||
\(531\) | −19.8674 | + | 0.0959774i | −0.862171 | + | 0.00416507i | ||||
\(532\) | 28.6861 | − | 11.5195i | 1.24370 | − | 0.499434i | ||||
\(533\) | 5.69191 | − | 1.84941i | 0.246544 | − | 0.0801070i | ||||
\(534\) | −2.22876 | + | 0.436370i | −0.0964477 | + | 0.0188836i | ||||
\(535\) | 11.2005 | + | 7.41495i | 0.484241 | + | 0.320576i | ||||
\(536\) | −3.59646 | + | 9.28107i | −0.155343 | + | 0.400881i | ||||
\(537\) | 7.78547 | − | 0.0188053i | 0.335968 | − | 0.000811510i | ||||
\(538\) | 1.16289 | + | 0.543762i | 0.0501359 | + | 0.0234433i | ||||
\(539\) | −17.0694 | + | 12.4017i | −0.735233 | + | 0.534178i | ||||
\(540\) | −21.0967 | + | 9.74309i | −0.907859 | + | 0.419276i | ||||
\(541\) | −30.0608 | − | 21.8404i | −1.29241 | − | 0.938993i | −0.292562 | − | 0.956247i | \(-0.594508\pi\) |
−0.999851 | + | 0.0172533i | \(0.994508\pi\) | |||||||
\(542\) | −17.6776 | − | 31.9709i | −0.759319 | − | 1.37327i | ||||
\(543\) | −16.2984 | + | 11.9017i | −0.699432 | + | 0.510753i | ||||
\(544\) | 33.5489 | + | 10.4510i | 1.43840 | + | 0.448084i | ||||
\(545\) | −14.2822 | − | 38.2102i | −0.611783 | − | 1.63675i | ||||
\(546\) | 5.96461 | + | 10.7260i | 0.255262 | + | 0.459032i | ||||
\(547\) | −30.9322 | − | 10.0505i | −1.32257 | − | 0.429728i | −0.439191 | − | 0.898394i | \(-0.644735\pi\) |
−0.883376 | + | 0.468665i | \(0.844735\pi\) | |||||||
\(548\) | −1.95842 | − | 1.22952i | −0.0836595 | − | 0.0525223i | ||||
\(549\) | 8.35041 | − | 26.1287i | 0.356387 | − | 1.11515i | ||||
\(550\) | −6.56656 | − | 23.0079i | −0.279999 | − | 0.981062i | ||||
\(551\) | −32.5870 | −1.38825 | ||||||||
\(552\) | 25.3666 | − | 6.77647i | 1.07968 | − | 0.288426i | ||||
\(553\) | 15.8379 | − | 48.7439i | 0.673494 | − | 2.07280i | ||||
\(554\) | 30.0019 | + | 3.71595i | 1.27466 | + | 0.157876i | ||||
\(555\) | −3.64212 | + | 2.91092i | −0.154600 | + | 0.123562i | ||||
\(556\) | −4.16050 | + | 3.47612i | −0.176444 | + | 0.147420i | ||||
\(557\) | 8.23556i | 0.348952i | 0.984661 | + | 0.174476i | \(0.0558231\pi\) | ||||
−0.984661 | + | 0.174476i | \(0.944177\pi\) | |||||||
\(558\) | −9.71480 | + | 1.92645i | −0.411260 | + | 0.0815530i | ||||
\(559\) | −6.09957 | + | 8.39534i | −0.257984 | + | 0.355085i | ||||
\(560\) | 14.1354 | − | 29.3091i | 0.597329 | − | 1.23854i | ||||
\(561\) | 34.6512 | + | 11.1664i | 1.46297 | + | 0.471445i | ||||
\(562\) | −5.88298 | − | 2.75085i | −0.248158 | − | 0.116037i | ||||
\(563\) | 16.9912 | + | 12.3448i | 0.716094 | + | 0.520273i | 0.885134 | − | 0.465337i | \(-0.154067\pi\) |
−0.169040 | + | 0.985609i | \(0.554067\pi\) | |||||||
\(564\) | 0.842062 | + | 11.9899i | 0.0354572 | + | 0.504867i | ||||
\(565\) | 11.9968 | − | 4.48416i | 0.504708 | − | 0.188650i | ||||
\(566\) | −17.4816 | − | 8.17430i | −0.734806 | − | 0.343591i | ||||
\(567\) | −31.2362 | − | 9.81664i | −1.31180 | − | 0.412260i | ||||
\(568\) | 0.410821 | + | 0.637020i | 0.0172377 | + | 0.0267288i | ||||
\(569\) | −32.1230 | + | 10.4374i | −1.34667 | + | 0.437559i | −0.891570 | − | 0.452882i | \(-0.850396\pi\) |
−0.455098 | + | 0.890441i | \(0.650396\pi\) | |||||||
\(570\) | −15.0903 | + | 17.7139i | −0.632062 | + | 0.741952i | ||||
\(571\) | −27.1444 | − | 8.81976i | −1.13596 | − | 0.369096i | −0.320122 | − | 0.947376i | \(-0.603724\pi\) |
−0.815838 | + | 0.578281i | \(0.803724\pi\) | |||||||
\(572\) | −0.630505 | − | 9.29896i | −0.0263627 | − | 0.388809i | ||||
\(573\) | −10.3547 | + | 32.1323i | −0.432572 | + | 1.34234i | ||||
\(574\) | −4.24291 | − | 21.9517i | −0.177096 | − | 0.916245i | ||||
\(575\) | 22.9675 | + | 13.8060i | 0.957811 | + | 0.575750i | ||||
\(576\) | 17.8112 | + | 16.0860i | 0.742135 | + | 0.670250i | ||||
\(577\) | −8.67146 | + | 6.30018i | −0.360997 | + | 0.262280i | −0.753468 | − | 0.657485i | \(-0.771620\pi\) |
0.392471 | + | 0.919765i | \(0.371620\pi\) | |||||||
\(578\) | −30.2956 | − | 3.75233i | −1.26013 | − | 0.156076i | ||||
\(579\) | 4.85559 | + | 14.8221i | 0.201791 | + | 0.615984i | ||||
\(580\) | −25.3413 | + | 23.1184i | −1.05224 | + | 0.959940i | ||||
\(581\) | 48.0174 | − | 15.6018i | 1.99210 | − | 0.647272i | ||||
\(582\) | −16.3331 | − | 15.1894i | −0.677027 | − | 0.629620i | ||||
\(583\) | −21.1192 | + | 6.86203i | −0.874666 | + | 0.284196i | ||||
\(584\) | 0.912174 | − | 16.4100i | 0.0377460 | − | 0.679051i | ||||
\(585\) | −7.72808 | − | 5.06260i | −0.319517 | − | 0.209313i | ||||
\(586\) | 13.7873 | − | 14.7537i | 0.569546 | − | 0.609471i | ||||
\(587\) | 36.1457 | + | 26.2614i | 1.49189 | + | 1.08392i | 0.973475 | + | 0.228795i | \(0.0734786\pi\) |
0.518417 | + | 0.855128i | \(0.326521\pi\) | |||||||
\(588\) | 20.0248 | − | 8.09759i | 0.825809 | − | 0.333939i | ||||
\(589\) | −8.02358 | + | 5.82947i | −0.330606 | + | 0.240199i | ||||
\(590\) | −8.03648 | + | 19.3389i | −0.330857 | + | 0.796172i | ||||
\(591\) | 0.0362463 | + | 15.0061i | 0.00149097 | + | 0.617269i | ||||
\(592\) | 4.24212 | + | 2.27862i | 0.174350 | + | 0.0936509i | ||||
\(593\) | 1.32965i | 0.0546021i | 0.999627 | + | 0.0273011i | \(0.00869128\pi\) | ||||
−0.999627 | + | 0.0273011i | \(0.991309\pi\) | |||||||
\(594\) | 18.2900 | + | 16.8452i | 0.750446 | + | 0.691167i | ||||
\(595\) | −13.5086 | + | 48.6931i | −0.553799 | + | 1.99622i | ||||
\(596\) | 4.67854 | − | 0.317223i | 0.191640 | − | 0.0129939i | ||||
\(597\) | 13.7602 | − | 4.50772i | 0.563166 | − | 0.184489i | ||||
\(598\) | 7.62682 | + | 7.12720i | 0.311884 | + | 0.291453i | ||||
\(599\) | −20.9122 | −0.854448 | −0.427224 | − | 0.904146i | \(-0.640508\pi\) | ||||
−0.427224 | + | 0.904146i | \(0.640508\pi\) | |||||||
\(600\) | 0.831913 | + | 24.4808i | 0.0339627 | + | 0.999423i | ||||
\(601\) | 21.9932 | 0.897120 | 0.448560 | − | 0.893753i | \(-0.351937\pi\) | ||||
0.448560 | + | 0.893753i | \(0.351937\pi\) | |||||||
\(602\) | 28.3244 | + | 26.4689i | 1.15441 | + | 1.07879i | ||||
\(603\) | 6.16410 | − | 8.57093i | 0.251022 | − | 0.349035i | ||||
\(604\) | −32.6277 | + | 2.21229i | −1.32760 | + | 0.0900166i | ||||
\(605\) | −0.787011 | + | 0.625899i | −0.0319965 | + | 0.0254464i | ||||
\(606\) | 20.7133 | + | 9.62452i | 0.841420 | + | 0.390969i | ||||
\(607\) | 47.5807i | 1.93124i | 0.259953 | + | 0.965621i | \(0.416293\pi\) | ||||
−0.259953 | + | 0.965621i | \(0.583707\pi\) | |||||||
\(608\) | 22.9457 | + | 7.14795i | 0.930570 | + | 0.289888i | ||||
\(609\) | −48.3320 | + | 0.116743i | −1.95851 | + | 0.00473067i | ||||
\(610\) | −21.9651 | − | 18.8037i | −0.889342 | − | 0.761338i | ||||
\(611\) | −3.86594 | + | 2.80877i | −0.156399 | + | 0.113631i | ||||
\(612\) | −31.6608 | − | 19.6644i | −1.27981 | − | 0.794886i | ||||
\(613\) | 10.7927 | + | 7.84138i | 0.435915 | + | 0.316710i | 0.784009 | − | 0.620749i | \(-0.213171\pi\) |
−0.348095 | + | 0.937459i | \(0.613171\pi\) | |||||||
\(614\) | −15.6026 | + | 16.6964i | −0.629671 | + | 0.673811i | ||||
\(615\) | 10.5077 | + | 13.1472i | 0.423713 | + | 0.530147i | ||||
\(616\) | −34.7649 | − | 1.93246i | −1.40072 | − | 0.0778609i | ||||
\(617\) | 9.85658 | − | 3.20260i | 0.396811 | − | 0.128932i | −0.103812 | − | 0.994597i | \(-0.533104\pi\) |
0.500623 | + | 0.865665i | \(0.333104\pi\) | |||||||
\(618\) | 1.20655 | − | 1.29739i | 0.0485345 | − | 0.0521889i | ||||
\(619\) | 37.9147 | − | 12.3192i | 1.52392 | − | 0.495151i | 0.577033 | − | 0.816721i | \(-0.304210\pi\) |
0.946886 | + | 0.321569i | \(0.104210\pi\) | |||||||
\(620\) | −2.10389 | + | 10.2255i | −0.0844942 | + | 0.410666i | ||||
\(621\) | −27.8482 | + | 0.201800i | −1.11751 | + | 0.00809794i | ||||
\(622\) | 6.68705 | + | 0.828239i | 0.268126 | + | 0.0332094i | ||||
\(623\) | −2.72886 | + | 1.98264i | −0.109330 | + | 0.0794326i | ||||
\(624\) | −1.67390 | + | 9.39368i | −0.0670097 | + | 0.376048i | ||||
\(625\) | −17.3731 | + | 17.9771i | −0.694922 | + | 0.719085i | ||||
\(626\) | 3.01912 | + | 15.6201i | 0.120668 | + | 0.624305i | ||||
\(627\) | 23.6996 | + | 7.63723i | 0.946471 | + | 0.305001i | ||||
\(628\) | −0.0219584 | − | 0.323852i | −0.000876235 | − | 0.0129231i | ||||
\(629\) | −7.11197 | − | 2.31082i | −0.283573 | − | 0.0921385i | ||||
\(630\) | −22.3180 | + | 26.3267i | −0.889169 | + | 1.04888i | ||||
\(631\) | 19.4086 | − | 6.30624i | 0.772644 | − | 0.251047i | 0.103948 | − | 0.994583i | \(-0.466853\pi\) |
0.668697 | + | 0.743535i | \(0.266853\pi\) | |||||||
\(632\) | 33.4867 | − | 21.5960i | 1.33203 | − | 0.859041i | ||||
\(633\) | 19.5575 | − | 27.0557i | 0.777339 | − | 1.07537i | ||||
\(634\) | 13.4053 | + | 6.26825i | 0.532393 | + | 0.248944i | ||||
\(635\) | −0.954690 | − | 21.9121i | −0.0378857 | − | 0.869555i | ||||
\(636\) | 22.6775 | − | 1.59266i | 0.899222 | − | 0.0631531i | ||||
\(637\) | 6.94746 | + | 5.04762i | 0.275268 | + | 0.199994i | ||||
\(638\) | 33.2492 | + | 15.5471i | 1.31635 | + | 0.615516i | ||||
\(639\) | −0.252136 | − | 0.763425i | −0.00997433 | − | 0.0302006i | ||||
\(640\) | 22.9147 | − | 10.7199i | 0.905783 | − | 0.423741i | ||||
\(641\) | −9.92161 | + | 13.6559i | −0.391880 | + | 0.539376i | −0.958683 | − | 0.284477i | \(-0.908180\pi\) |
0.566803 | + | 0.823853i | \(0.308180\pi\) | |||||||
\(642\) | −6.20054 | + | 13.3444i | −0.244716 | + | 0.526662i | ||||
\(643\) | − | 28.9391i | − | 1.14125i | −0.821212 | − | 0.570624i | \(-0.806701\pi\) | ||
0.821212 | − | 0.570624i | \(-0.193299\pi\) | |||||||
\(644\) | 29.9259 | − | 25.0032i | 1.17924 | − | 0.985265i | ||||
\(645\) | −28.1392 | − | 7.73333i | −1.10798 | − | 0.304499i | ||||
\(646\) | −37.0392 | − | 4.58756i | −1.45729 | − | 0.180495i | ||||
\(647\) | 3.15664 | − | 9.71512i | 0.124100 | − | 0.381941i | −0.869636 | − | 0.493694i | \(-0.835646\pi\) |
0.993736 | + | 0.111753i | \(0.0356464\pi\) | |||||||
\(648\) | −14.0026 | − | 21.2586i | −0.550072 | − | 0.835117i | ||||
\(649\) | 22.4089 | 0.879628 | ||||||||
\(650\) | −8.08026 | + | 5.43564i | −0.316934 | + | 0.213203i | ||||
\(651\) | −11.8794 | + | 8.67483i | −0.465592 | + | 0.339993i | ||||
\(652\) | −40.9230 | − | 25.6919i | −1.60267 | − | 1.00617i | ||||
\(653\) | −12.3616 | − | 4.01654i | −0.483748 | − | 0.157179i | 0.0569823 | − | 0.998375i | \(-0.481852\pi\) |
−0.540731 | + | 0.841196i | \(0.681852\pi\) | |||||||
\(654\) | 39.0534 | − | 21.7171i | 1.52711 | − | 0.849206i | ||||
\(655\) | −11.0180 | + | 39.7156i | −0.430510 | + | 1.55182i | ||||
\(656\) | 8.22530 | − | 15.3131i | 0.321144 | − | 0.597875i | ||||
\(657\) | −5.30672 | + | 16.6049i | −0.207035 | + | 0.647820i | ||||
\(658\) | 8.63814 | + | 15.6225i | 0.336750 | + | 0.609029i | ||||
\(659\) | 10.4862 | + | 7.61871i | 0.408486 | + | 0.296783i | 0.772989 | − | 0.634420i | \(-0.218761\pi\) |
−0.364502 | + | 0.931202i | \(0.618761\pi\) | |||||||
\(660\) | 23.8481 | − | 10.8743i | 0.928286 | − | 0.423281i | ||||
\(661\) | 15.1638 | − | 11.0172i | 0.589804 | − | 0.428518i | −0.252441 | − | 0.967612i | \(-0.581233\pi\) |
0.842245 | + | 0.539094i | \(0.181233\pi\) | |||||||
\(662\) | 14.6064 | + | 6.82989i | 0.567695 | + | 0.265451i | ||||
\(663\) | −0.0357910 | − | 14.8176i | −0.00139001 | − | 0.575467i | ||||
\(664\) | 36.6007 | + | 14.1830i | 1.42038 | + | 0.550405i | ||||
\(665\) | −9.23918 | + | 33.3036i | −0.358280 | + | 1.29146i | ||||
\(666\) | −3.74849 | − | 3.46916i | −0.145251 | − | 0.134427i | ||||
\(667\) | −39.0966 | + | 12.7033i | −1.51383 | + | 0.491872i | ||||
\(668\) | 21.4704 | − | 8.62188i | 0.830715 | − | 0.333590i | ||||
\(669\) | −7.39167 | + | 10.2256i | −0.285778 | + | 0.395345i | ||||
\(670\) | −5.80367 | − | 9.49518i | −0.224215 | − | 0.366831i | ||||
\(671\) | −9.56080 | + | 29.4251i | −0.369090 | + | 1.13594i | ||||
\(672\) | 34.0579 | + | 10.5194i | 1.31381 | + | 0.405795i | ||||
\(673\) | 10.3419 | − | 7.51381i | 0.398650 | − | 0.289636i | −0.370341 | − | 0.928896i | \(-0.620759\pi\) |
0.768991 | + | 0.639260i | \(0.220759\pi\) | |||||||
\(674\) | 8.44392 | + | 43.6866i | 0.325248 | + | 1.68274i | ||||
\(675\) | 5.66546 | − | 25.3555i | 0.218064 | − | 0.975935i | ||||
\(676\) | 20.6071 | − | 8.27519i | 0.792580 | − | 0.318277i | ||||
\(677\) | 6.24260 | + | 8.59220i | 0.239923 | + | 0.330225i | 0.911950 | − | 0.410301i | \(-0.134576\pi\) |
−0.672028 | + | 0.740526i | \(0.734576\pi\) | |||||||
\(678\) | 6.81847 | + | 12.2615i | 0.261862 | + | 0.470901i | ||||
\(679\) | −31.5058 | − | 10.2368i | −1.20908 | − | 0.392854i | ||||
\(680\) | −32.0581 | + | 22.7094i | −1.22937 | + | 0.870867i | ||||
\(681\) | −14.4939 | − | 10.4771i | −0.555409 | − | 0.401482i | ||||
\(682\) | 10.9678 | − | 2.11991i | 0.419980 | − | 0.0811754i | ||||
\(683\) | 1.54637 | + | 4.75925i | 0.0591704 | + | 0.182108i | 0.976273 | − | 0.216544i | \(-0.0694784\pi\) |
−0.917103 | + | 0.398651i | \(0.869478\pi\) | |||||||
\(684\) | −21.6543 | − | 13.4494i | −0.827974 | − | 0.514252i | ||||
\(685\) | 2.42168 | − | 0.905177i | 0.0925277 | − | 0.0345850i | ||||
\(686\) | −2.68589 | + | 2.87417i | −0.102548 | + | 0.109736i | ||||
\(687\) | 16.9618 | − | 0.0409703i | 0.647135 | − | 0.00156312i | ||||
\(688\) | 4.06846 | + | 29.8637i | 0.155108 | + | 1.13854i | ||||
\(689\) | 5.31245 | + | 7.31197i | 0.202388 | + | 0.278564i | ||||
\(690\) | −11.1994 | + | 27.1350i | −0.426354 | + | 1.03301i | ||||
\(691\) | 16.3409 | − | 22.4913i | 0.621635 | − | 0.855608i | −0.375835 | − | 0.926686i | \(-0.622644\pi\) |
0.997471 | + | 0.0710788i | \(0.0226442\pi\) | |||||||
\(692\) | −27.0800 | + | 22.6255i | −1.02943 | + | 0.860091i | ||||
\(693\) | 35.1779 | + | 11.2424i | 1.33630 | + | 0.427063i | ||||
\(694\) | 2.12965 | − | 1.17755i | 0.0808405 | − | 0.0446990i | ||||
\(695\) | −0.263843 | − | 6.05573i | −0.0100081 | − | 0.229707i | ||||
\(696\) | −29.1843 | − | 23.6695i | −1.10623 | − | 0.897189i | ||||
\(697\) | −8.34152 | + | 25.6726i | −0.315958 | + | 0.972418i | ||||
\(698\) | −3.43911 | − | 3.21382i | −0.130172 | − | 0.121645i | ||||
\(699\) | −7.07408 | − | 9.68734i | −0.267566 | − | 0.366409i | ||||
\(700\) | 16.4419 | + | 32.4531i | 0.621446 | + | 1.22661i | ||||
\(701\) | − | 46.8467i | − | 1.76938i | −0.466183 | − | 0.884688i | \(-0.654371\pi\) | ||
0.466183 | − | 0.884688i | \(-0.345629\pi\) | |||||||
\(702\) | 4.22023 | − | 9.19855i | 0.159282 | − | 0.347177i | ||||
\(703\) | −4.86422 | − | 1.58048i | −0.183458 | − | 0.0596090i | ||||
\(704\) | −20.0017 | − | 18.2405i | −0.753841 | − | 0.687463i | ||||
\(705\) | −11.2231 | − | 7.39096i | −0.422686 | − | 0.278360i | ||||
\(706\) | −16.0070 | − | 28.9494i | −0.602430 | − | 1.08952i | ||||
\(707\) | 33.9228 | 1.27580 | ||||||||
\(708\) | −22.2614 | − | 5.54323i | −0.836633 | − | 0.208327i | ||||
\(709\) | −14.8196 | − | 10.7671i | −0.556561 | − | 0.404366i | 0.273637 | − | 0.961833i | \(-0.411773\pi\) |
−0.830199 | + | 0.557467i | \(0.811773\pi\) | |||||||
\(710\) | −0.844784 | − | 0.0674620i | −0.0317042 | − | 0.00253180i | ||||
\(711\) | −40.1315 | + | 13.2542i | −1.50505 | + | 0.497072i | ||||
\(712\) | −2.61837 | − | 0.145546i | −0.0981275 | − | 0.00545456i | ||||
\(713\) | −7.35389 | + | 10.1218i | −0.275405 | + | 0.379063i | ||||
\(714\) | −54.9518 | − | 6.67144i | −2.05652 | − | 0.249672i | ||||
\(715\) | 8.68891 | + | 5.75221i | 0.324947 | + | 0.215121i | ||||
\(716\) | 8.71826 | + | 2.19328i | 0.325817 | + | 0.0819668i | ||||
\(717\) | 22.9234 | + | 16.5704i | 0.856089 | + | 0.618831i | ||||
\(718\) | −2.82061 | − | 14.5931i | −0.105264 | − | 0.544608i | ||||
\(719\) | 2.62080 | + | 8.06599i | 0.0977393 | + | 0.300811i | 0.987958 | − | 0.154723i | \(-0.0494485\pi\) |
−0.890219 | + | 0.455534i | \(0.849448\pi\) | |||||||
\(720\) | −26.3810 | + | 4.90343i | −0.983161 | + | 0.182740i | ||||
\(721\) | 0.813149 | − | 2.50262i | 0.0302833 | − | 0.0932023i | ||||
\(722\) | 1.33343 | + | 0.165155i | 0.0496252 | + | 0.00614643i | ||||
\(723\) | −1.84378 | + | 5.72156i | −0.0685710 | + | 0.212787i | ||||
\(724\) | −21.6250 | + | 8.68397i | −0.803688 | + | 0.322737i | ||||
\(725\) | −3.33551 | − | 38.2057i | −0.123878 | − | 1.41892i | ||||
\(726\) | −0.806626 | − | 0.750144i | −0.0299367 | − | 0.0278405i | ||||
\(727\) | 11.1937 | + | 15.4068i | 0.415151 | + | 0.571406i | 0.964465 | − | 0.264210i | \(-0.0851111\pi\) |
−0.549315 | + | 0.835616i | \(0.685111\pi\) | |||||||
\(728\) | 3.62446 | + | 13.7002i | 0.134331 | + | 0.507764i | ||||
\(729\) | 8.71472 | + | 25.5549i | 0.322767 | + | 0.946478i | ||||
\(730\) | 13.9589 | + | 11.9498i | 0.516644 | + | 0.442282i | ||||
\(731\) | −14.4635 | − | 44.5142i | −0.534953 | − | 1.64642i | ||||
\(732\) | 16.7766 | − | 26.8663i | 0.620082 | − | 0.993007i | ||||
\(733\) | 6.33566 | + | 19.4992i | 0.234013 | + | 0.720218i | 0.997251 | + | 0.0741005i | \(0.0236085\pi\) |
−0.763238 | + | 0.646118i | \(0.776391\pi\) | |||||||
\(734\) | 12.8832 | + | 6.02409i | 0.475526 | + | 0.222353i | ||||
\(735\) | −6.39961 | + | 23.2863i | −0.236053 | + | 0.858926i | ||||
\(736\) | 30.3158 | − | 0.368989i | 1.11745 | − | 0.0136011i | ||||
\(737\) | −6.99919 | + | 9.63356i | −0.257819 | + | 0.354857i | ||||
\(738\) | −12.5229 | + | 13.5312i | −0.460973 | + | 0.498089i | ||||
\(739\) | 29.9597 | + | 41.2359i | 1.10208 | + | 1.51689i | 0.832593 | + | 0.553886i | \(0.186856\pi\) |
0.269491 | + | 0.963003i | \(0.413144\pi\) | |||||||
\(740\) | −4.90391 | + | 2.22180i | −0.180271 | + | 0.0816748i | ||||
\(741\) | −0.0244791 | − | 10.1345i | −0.000899264 | − | 0.372298i | ||||
\(742\) | 29.5481 | − | 16.3380i | 1.08475 | − | 0.599788i | ||||
\(743\) | 3.09294 | 0.113469 | 0.0567344 | − | 0.998389i | \(-0.481931\pi\) | ||||
0.0567344 | + | 0.998389i | \(0.481931\pi\) | |||||||
\(744\) | −11.4200 | − | 0.607131i | −0.418677 | − | 0.0222585i | ||||
\(745\) | −2.89408 | + | 4.37161i | −0.106031 | + | 0.160163i | ||||
\(746\) | 3.71879 | + | 0.460599i | 0.136155 | + | 0.0168637i | ||||
\(747\) | −33.8002 | − | 24.3087i | −1.23668 | − | 0.889408i | ||||
\(748\) | 35.6031 | + | 22.3520i | 1.30178 | + | 0.817270i | ||||
\(749\) | 21.8546i | 0.798549i | ||||||||
\(750\) | −22.3127 | − | 15.8790i | −0.814744 | − | 0.579820i | ||||
\(751\) | 9.33101i | 0.340493i | 0.985401 | + | 0.170247i | \(0.0544564\pi\) | ||||
−0.985401 | + | 0.170247i | \(0.945544\pi\) | |||||||
\(752\) | −2.46778 | + | 13.6577i | −0.0899906 | + | 0.498046i | ||||
\(753\) | 10.9679 | + | 33.4802i | 0.399691 | + | 1.22009i | ||||
\(754\) | 1.83629 | − | 14.8258i | 0.0668736 | − | 0.539926i | ||||
\(755\) | 20.1831 | − | 30.4872i | 0.734538 | − | 1.10954i | ||||
\(756\) | −32.1652 | − | 19.8702i | −1.16984 | − | 0.722672i | ||||
\(757\) | −47.9510 | −1.74281 | −0.871404 | − | 0.490565i | \(-0.836790\pi\) | ||||
−0.871404 | + | 0.490565i | \(0.836790\pi\) | |||||||
\(758\) | 8.81166 | + | 15.9363i | 0.320054 | + | 0.578834i | ||||
\(759\) | 31.4110 | − | 0.0758714i | 1.14015 | − | 0.00275396i | ||||
\(760\) | −21.9260 | + | 15.5321i | −0.795341 | + | 0.563407i | ||||
\(761\) | −26.9911 | − | 37.1500i | −0.978425 | − | 1.34669i | −0.937673 | − | 0.347518i | \(-0.887025\pi\) |
−0.0407519 | − | 0.999169i | \(-0.512975\pi\) | |||||||
\(762\) | 23.5786 | − | 4.61647i | 0.854162 | − | 0.167237i | ||||
\(763\) | 39.0103 | − | 53.6931i | 1.41227 | − | 1.94382i | ||||
\(764\) | −20.7272 | + | 33.0150i | −0.749882 | + | 1.19444i | ||||
\(765\) | 38.9613 | − | 14.7779i | 1.40865 | − | 0.534295i | ||||
\(766\) | −17.5387 | + | 37.5084i | −0.633700 | + | 1.35523i | ||||
\(767\) | −2.81845 | − | 8.67429i | −0.101768 | − | 0.313210i | ||||
\(768\) | 15.3578 | + | 23.0681i | 0.554178 | + | 0.832398i | ||||
\(769\) | −0.0861199 | − | 0.265050i | −0.00310556 | − | 0.00955794i | 0.949492 | − | 0.313792i | \(-0.101599\pi\) |
−0.952597 | + | 0.304234i | \(0.901599\pi\) | |||||||
\(770\) | 25.3159 | − | 29.5723i | 0.912321 | − | 1.06571i | ||||
\(771\) | 13.4379 | − | 4.40215i | 0.483954 | − | 0.158540i | ||||
\(772\) | 1.21835 | + | 17.9687i | 0.0438494 | + | 0.646709i | ||||
\(773\) | −19.5865 | − | 26.9585i | −0.704477 | − | 0.969629i | −0.999898 | − | 0.0142622i | \(-0.995460\pi\) |
0.295421 | − | 0.955367i | \(-0.404540\pi\) | |||||||
\(774\) | 3.77612 | − | 31.7441i | 0.135730 | − | 1.14102i | ||||
\(775\) | −7.65586 | − | 8.81032i | −0.275007 | − | 0.316476i | ||||
\(776\) | −13.9586 | − | 21.6442i | −0.501084 | − | 0.776983i | ||||
\(777\) | −7.22012 | − | 2.32669i | −0.259020 | − | 0.0834696i | ||||
\(778\) | 4.95158 | − | 39.9782i | 0.177523 | − | 1.43329i | ||||
\(779\) | −5.70517 | + | 17.5587i | −0.204409 | + | 0.629106i | ||||
\(780\) | −7.20879 | − | 7.86368i | −0.258116 | − | 0.281565i | ||||
\(781\) | 0.280224 | + | 0.862441i | 0.0100272 | + | 0.0308606i | ||||
\(782\) | −46.2265 | + | 8.93485i | −1.65306 | + | 0.319510i | ||||
\(783\) | 23.6595 | + | 32.0732i | 0.845523 | + | 1.14620i | ||||
\(784\) | 24.7133 | − | 3.36680i | 0.882620 | − | 0.120243i | ||||
\(785\) | 0.302606 | + | 0.200330i | 0.0108005 | + | 0.00715010i | ||||
\(786\) | −44.8203 | − | 5.44143i | −1.59869 | − | 0.194089i | ||||
\(787\) | 25.7809 | − | 35.4844i | 0.918991 | − | 1.26488i | −0.0450102 | − | 0.998987i | \(-0.514332\pi\) |
0.964002 | − | 0.265897i | \(-0.0856680\pi\) | |||||||
\(788\) | −4.22744 | + | 16.8040i | −0.150596 | + | 0.598618i | ||||
\(789\) | 5.24733 | − | 16.2833i | 0.186810 | − | 0.579702i | ||||
\(790\) | −3.54633 | + | 44.4084i | −0.126173 | + | 1.57998i | ||||
\(791\) | 16.8579 | + | 12.2480i | 0.599398 | + | 0.435488i | ||||
\(792\) | 15.6777 | + | 24.0539i | 0.557081 | + | 0.854718i | ||||
\(793\) | 12.5927 | 0.447179 | ||||||||
\(794\) | −23.8034 | + | 13.1616i | −0.844751 | + | 0.467087i | ||||
\(795\) | −13.9791 | + | 21.2272i | −0.495788 | + | 0.752850i | ||||
\(796\) | 16.6814 | − | 1.13106i | 0.591257 | − | 0.0400895i | ||||
\(797\) | 10.2571 | + | 3.33275i | 0.363326 | + | 0.118052i | 0.484990 | − | 0.874519i | \(-0.338823\pi\) |
−0.121664 | + | 0.992571i | \(0.538823\pi\) | |||||||
\(798\) | −37.5841 | − | 4.56292i | −1.33046 | − | 0.161525i | ||||
\(799\) | − | 21.5530i | − | 0.762492i | ||||||
\(800\) | −6.03176 | + | 27.6336i | −0.213255 | + | 0.976997i | ||||
\(801\) | 2.64947 | + | 0.846737i | 0.0936145 | + | 0.0299180i | ||||
\(802\) | 23.9561 | − | 25.6354i | 0.845919 | − | 0.905217i | ||||
\(803\) | 6.07593 | − | 18.6998i | 0.214415 | − | 0.659901i | ||||
\(804\) | 9.33612 | − | 7.83875i | 0.329260 | − | 0.276451i | ||||
\(805\) | 1.89778 | + | 43.5580i | 0.0668880 | + | 1.53522i | ||||
\(806\) | −2.20005 | − | 3.97891i | −0.0774936 | − | 0.140151i | ||||
\(807\) | −0.927220 | − | 1.26975i | −0.0326397 | − | 0.0446972i | ||||
\(808\) | 20.4434 | + | 16.6623i | 0.719195 | + | 0.586177i | ||||
\(809\) | 13.6243 | − | 18.7522i | 0.479004 | − | 0.659292i | −0.499309 | − | 0.866424i | \(-0.666413\pi\) |
0.978313 | + | 0.207132i | \(0.0664128\pi\) | |||||||
\(810\) | 28.3907 | + | 1.99135i | 0.997549 | + | 0.0699690i | ||||
\(811\) | −22.7004 | − | 31.2445i | −0.797120 | − | 1.09714i | −0.993185 | − | 0.116551i | \(-0.962816\pi\) |
0.196064 | − | 0.980591i | \(-0.437184\pi\) | |||||||
\(812\) | −54.1228 | − | 13.6159i | −1.89934 | − | 0.477823i | ||||
\(813\) | 0.108074 | + | 44.7431i | 0.00379032 | + | 1.56921i | ||||
\(814\) | 4.20901 | + | 3.93329i | 0.147526 | + | 0.137862i | ||||
\(815\) | 50.6034 | − | 18.9145i | 1.77256 | − | 0.662548i | ||||
\(816\) | −29.8394 | − | 31.0118i | −1.04459 | − | 1.08563i | ||||
\(817\) | −9.89230 | − | 30.4454i | −0.346088 | − | 1.06515i | ||||
\(818\) | −7.50685 | − | 38.8384i | −0.262471 | − | 1.35795i | ||||
\(819\) | −0.0726134 | − | 15.0310i | −0.00253732 | − | 0.525226i | ||||
\(820\) | 8.02016 | + | 17.7020i | 0.280076 | + | 0.618179i | ||||
\(821\) | −6.83746 | − | 2.22163i | −0.238629 | − | 0.0775353i | 0.187261 | − | 0.982310i | \(-0.440039\pi\) |
−0.425890 | + | 0.904775i | \(0.640039\pi\) | |||||||
\(822\) | 1.37638 | + | 2.47512i | 0.0480069 | + | 0.0863298i | ||||
\(823\) | −10.4979 | − | 14.4491i | −0.365932 | − | 0.503662i | 0.585857 | − | 0.810414i | \(-0.300758\pi\) |
−0.951790 | + | 0.306752i | \(0.900758\pi\) | |||||||
\(824\) | 1.71928 | − | 1.10878i | 0.0598939 | − | 0.0386262i | ||||
\(825\) | −6.52823 | + | 28.5676i | −0.227284 | + | 0.994597i | ||||
\(826\) | −33.4536 | + | 6.46606i | −1.16400 | + | 0.224983i | ||||
\(827\) | −7.03168 | + | 5.10881i | −0.244515 | + | 0.177651i | −0.703293 | − | 0.710901i | \(-0.748288\pi\) |
0.458777 | + | 0.888551i | \(0.348288\pi\) | |||||||
\(828\) | −31.2229 | − | 7.69468i | −1.08507 | − | 0.267409i | ||||
\(829\) | −3.87252 | + | 11.9184i | −0.134498 | + | 0.413943i | −0.995512 | − | 0.0946392i | \(-0.969830\pi\) |
0.861013 | + | 0.508582i | \(0.169830\pi\) | |||||||
\(830\) | −37.4451 | + | 22.8873i | −1.29974 | + | 0.794429i | ||||
\(831\) | −30.0067 | − | 21.6906i | −1.04092 | − | 0.752439i | ||||
\(832\) | −4.54504 | + | 10.0366i | −0.157571 | + | 0.347957i | ||||
\(833\) | −36.8371 | + | 11.9691i | −1.27633 | + | 0.414705i | ||||
\(834\) | 6.51629 | − | 1.27583i | 0.225641 | − | 0.0441784i | ||||
\(835\) | −6.91516 | + | 24.9264i | −0.239309 | + | 0.862613i | ||||
\(836\) | 24.3506 | + | 15.2876i | 0.842184 | + | 0.528733i | ||||
\(837\) | 11.5630 | + | 3.66463i | 0.399676 | + | 0.126668i | ||||
\(838\) | 12.4669 | − | 26.6618i | 0.430662 | − | 0.921016i | ||||
\(839\) | −30.1212 | + | 21.8843i | −1.03990 | + | 0.755531i | −0.970266 | − | 0.242041i | \(-0.922183\pi\) |
−0.0696335 | + | 0.997573i | \(0.522183\pi\) | |||||||
\(840\) | −32.4644 | + | 23.1152i | −1.12013 | + | 0.797551i | ||||
\(841\) | 24.1347 | + | 17.5349i | 0.832230 | + | 0.604651i | ||||
\(842\) | 32.4091 | − | 17.9199i | 1.11689 | − | 0.617561i | ||||
\(843\) | 4.69073 | + | 6.42354i | 0.161557 | + | 0.221239i | ||||
\(844\) | 29.5824 | − | 24.7162i | 1.01827 | − | 0.850767i | ||||
\(845\) | −6.63710 | + | 23.9241i | −0.228323 | + | 0.823013i | ||||
\(846\) | 6.17086 | − | 13.3649i | 0.212159 | − | 0.459496i | ||||
\(847\) | −1.55595 | − | 0.505558i | −0.0534630 | − | 0.0173712i | ||||
\(848\) | 25.8319 | + | 4.66751i | 0.887073 | + | 0.160283i | ||||
\(849\) | 13.9388 | + | 19.0879i | 0.478377 | + | 0.655096i | ||||
\(850\) | 1.58734 | − | 43.8951i | 0.0544453 | − | 1.50559i | ||||
\(851\) | −6.45201 | −0.221172 | ||||||||
\(852\) | −0.0650393 | − | 0.926080i | −0.00222821 | − | 0.0317270i | ||||
\(853\) | 8.55869 | − | 26.3410i | 0.293044 | − | 0.901897i | −0.690827 | − | 0.723020i | \(-0.742754\pi\) |
0.983871 | − | 0.178877i | \(-0.0572465\pi\) | |||||||
\(854\) | 5.78247 | − | 46.6866i | 0.197872 | − | 1.59758i | ||||
\(855\) | 26.6475 | − | 10.1073i | 0.911325 | − | 0.345662i | ||||
\(856\) | −10.7346 | + | 13.1705i | −0.366900 | + | 0.450159i | ||||
\(857\) | 39.8618i | 1.36165i | 0.732445 | + | 0.680826i | \(0.238379\pi\) | ||||
−0.732445 | + | 0.680826i | \(0.761621\pi\) | |||||||
\(858\) | −4.81012 | + | 10.3520i | −0.164215 | + | 0.353413i | ||||
\(859\) | 6.30004 | − | 8.67126i | 0.214954 | − | 0.295859i | −0.687900 | − | 0.725805i | \(-0.741467\pi\) |
0.902855 | + | 0.429946i | \(0.141467\pi\) | |||||||
\(860\) | −29.2918 | − | 16.6579i | −0.998842 | − | 0.568028i | ||||
\(861\) | −8.39882 | + | 26.0629i | −0.286231 | + | 0.888223i | ||||
\(862\) | −2.97863 | + | 6.37011i | −0.101453 | + | 0.216967i | ||||
\(863\) | −1.01158 | − | 0.734955i | −0.0344345 | − | 0.0250182i | 0.570435 | − | 0.821343i | \(-0.306775\pi\) |
−0.604869 | + | 0.796325i | \(0.706775\pi\) | |||||||
\(864\) | −9.62427 | − | 27.7736i | −0.327424 | − | 0.944877i | ||||
\(865\) | −1.71731 | − | 39.4157i | −0.0583901 | − | 1.34017i | ||||
\(866\) | 22.9032 | − | 48.9809i | 0.778282 | − | 1.66444i | ||||
\(867\) | 30.3005 | + | 21.9030i | 1.02906 | + | 0.743864i | ||||
\(868\) | −15.7618 | + | 6.32949i | −0.534992 | + | 0.214837i | ||||
\(869\) | 45.3366 | − | 14.7308i | 1.53794 | − | 0.499707i | ||||
\(870\) | 40.8382 | − | 9.85914i | 1.38455 | − | 0.334256i | ||||
\(871\) | 4.60937 | + | 1.49768i | 0.156183 | + | 0.0507468i | ||||
\(872\) | 49.8824 | − | 13.1966i | 1.68923 | − | 0.446895i | ||||
\(873\) | 8.56689 | + | 25.9391i | 0.289945 | + | 0.877906i | ||||
\(874\) | −31.6165 | + | 6.11097i | −1.06944 | + | 0.206707i | ||||
\(875\) | −39.9915 | − | 7.42336i | −1.35196 | − | 0.250955i | ||||
\(876\) | −10.6616 | + | 17.0737i | −0.360223 | + | 0.576866i | ||||
\(877\) | 44.9890 | − | 32.6864i | 1.51917 | − | 1.10374i | 0.557273 | − | 0.830329i | \(-0.311848\pi\) |
0.961897 | − | 0.273412i | \(-0.0881523\pi\) | |||||||
\(878\) | −2.17712 | + | 17.5777i | −0.0734743 | + | 0.593218i | ||||
\(879\) | −23.5024 | + | 7.69921i | −0.792717 | + | 0.259688i | ||||
\(880\) | 29.7818 | − | 5.38684i | 1.00395 | − | 0.181590i | ||||
\(881\) | 14.1325 | − | 4.59192i | 0.476135 | − | 0.154706i | −0.0611113 | − | 0.998131i | \(-0.519464\pi\) |
0.537247 | + | 0.843425i | \(0.319464\pi\) | |||||||
\(882\) | −26.2694 | − | 3.12488i | −0.884536 | − | 0.105220i | ||||
\(883\) | 25.1333 | − | 8.16631i | 0.845803 | − | 0.274818i | 0.146116 | − | 0.989267i | \(-0.453323\pi\) |
0.699687 | + | 0.714449i | \(0.253323\pi\) | |||||||
\(884\) | 4.17433 | − | 16.5929i | 0.140398 | − | 0.558079i | ||||
\(885\) | 20.0359 | − | 16.0135i | 0.673501 | − | 0.538287i | ||||
\(886\) | 30.7962 | + | 28.7788i | 1.03462 | + | 0.966842i | ||||
\(887\) | 25.9329 | + | 18.8414i | 0.870743 | + | 0.632632i | 0.930786 | − | 0.365564i | \(-0.119124\pi\) |
−0.0600435 | + | 0.998196i | \(0.519124\pi\) | |||||||
\(888\) | −3.20833 | − | 4.94856i | −0.107665 | − | 0.166063i | ||||
\(889\) | 28.8694 | − | 20.9748i | 0.968247 | − | 0.703473i | ||||
\(890\) | 1.90670 | − | 2.22728i | 0.0639128 | − | 0.0746586i | ||||
\(891\) | −9.69009 | − | 28.8709i | −0.324630 | − | 0.967211i | ||||
\(892\) | −11.1805 | + | 9.34140i | −0.374352 | + | 0.312773i | ||||
\(893\) | − | 14.7412i | − | 0.493294i | ||||||
\(894\) | −5.20837 | − | 2.42009i | −0.174194 | − | 0.0809400i | ||||
\(895\) | −7.86659 | + | 6.25619i | −0.262951 | + | 0.209121i | ||||
\(896\) | 35.1231 | + | 21.4592i | 1.17338 | + | 0.716902i | ||||
\(897\) | −3.98004 | − | 12.1494i | −0.132890 | − | 0.405656i | ||||
\(898\) | −7.21880 | + | 7.72484i | −0.240894 | + | 0.257781i | ||||
\(899\) | 17.9052 | 0.597173 | ||||||||
\(900\) | 13.5519 | − | 26.7646i | 0.451731 | − | 0.892154i | ||||
\(901\) | −40.7650 | −1.35808 | ||||||||
\(902\) | 14.1983 | − | 15.1936i | 0.472750 | − | 0.505890i | ||||
\(903\) | −14.7810 | − | 45.1202i | −0.491881 | − | 1.50151i | ||||
\(904\) | 4.14332 | + | 15.6615i | 0.137805 | + | 0.520892i | ||||
\(905\) | 6.96496 | − | 25.1059i | 0.231523 | − | 0.834548i | ||||
\(906\) | 36.3228 | + | 16.8775i | 1.20674 | + | 0.560718i | ||||
\(907\) | − | 23.6264i | − | 0.784500i | −0.919859 | − | 0.392250i | \(-0.871697\pi\) | ||
0.919859 | − | 0.392250i | \(-0.128303\pi\) | |||||||
\(908\) | −13.2406 | − | 15.8475i | −0.439406 | − | 0.525917i | ||||
\(909\) | −16.5515 | − | 22.5512i | −0.548977 | − | 0.747976i | ||||
\(910\) | −14.6312 | − | 6.08014i | −0.485020 | − | 0.201555i | ||||
\(911\) | 15.2499 | − | 11.0797i | 0.505251 | − | 0.367086i | −0.305768 | − | 0.952106i | \(-0.598913\pi\) |
0.811019 | + | 0.585020i | \(0.198913\pi\) | |||||||
\(912\) | −20.4086 | − | 21.2105i | −0.675797 | − | 0.702349i | ||||
\(913\) | 37.9908 | + | 27.6019i | 1.25731 | + | 0.913490i | ||||
\(914\) | 18.4187 | + | 17.2121i | 0.609236 | + | 0.569326i | ||||
\(915\) | 12.4789 | + | 33.1413i | 0.412539 | + | 1.09562i | ||||
\(916\) | 18.9941 | + | 4.77841i | 0.627582 | + | 0.157883i | ||||
\(917\) | −63.7752 | + | 20.7218i | −2.10604 | + | 0.684294i | ||||
\(918\) | 22.3768 | + | 39.7859i | 0.738543 | + | 1.31313i | ||||
\(919\) | 25.3968 | − | 8.25191i | 0.837762 | − | 0.272205i | 0.141451 | − | 0.989945i | \(-0.454823\pi\) |
0.696311 | + | 0.717740i | \(0.254823\pi\) | |||||||
\(920\) | −20.2512 | + | 27.1821i | −0.667663 | + | 0.896167i | ||||
\(921\) | 26.5970 | − | 8.71298i | 0.876401 | − | 0.287102i | ||||
\(922\) | 3.78189 | − | 30.5343i | 0.124550 | − | 1.00559i | ||||
\(923\) | 0.298598 | − | 0.216944i | 0.00982848 | − | 0.00714081i | ||||
\(924\) | 36.1709 | + | 22.5869i | 1.18993 | + | 0.743053i | ||||
\(925\) | 1.35510 | − | 5.86469i | 0.0445555 | − | 0.192830i | ||||
\(926\) | −3.80359 | + | 0.735173i | −0.124994 | + | 0.0241593i | ||||
\(927\) | −2.06044 | + | 0.680499i | −0.0676737 | + | 0.0223505i | ||||
\(928\) | −25.9289 | − | 34.7896i | −0.851158 | − | 1.14203i | ||||
\(929\) | 22.4729 | + | 7.30190i | 0.737313 | + | 0.239567i | 0.653513 | − | 0.756915i | \(-0.273294\pi\) |
0.0837997 | + | 0.996483i | \(0.473294\pi\) | |||||||
\(930\) | 8.29149 | − | 9.73304i | 0.271889 | − | 0.319159i | ||||
\(931\) | −25.1947 | + | 8.18625i | −0.825722 | + | 0.268293i | ||||
\(932\) | −5.16152 | − | 12.8533i | −0.169071 | − | 0.421025i | ||||
\(933\) | −6.68812 | − | 4.83457i | −0.218959 | − | 0.158277i | ||||
\(934\) | −1.69009 | + | 3.61443i | −0.0553014 | + | 0.118268i | ||||
\(935\) | −44.0250 | + | 16.4557i | −1.43977 | + | 0.538158i | ||||
\(936\) | 7.33920 | − | 9.09401i | 0.239889 | − | 0.297247i | ||||
\(937\) | 43.4162 | + | 31.5437i | 1.41835 | + | 1.03049i | 0.992042 | + | 0.125910i | \(0.0401850\pi\) |
0.426305 | + | 0.904579i | \(0.359815\pi\) | |||||||
\(938\) | 7.66914 | − | 16.4013i | 0.250406 | − | 0.535520i | ||||
\(939\) | 5.97633 | − | 18.5456i | 0.195030 | − | 0.605212i | ||||
\(940\) | −10.4579 | − | 11.4635i | −0.341100 | − | 0.373897i | ||||
\(941\) | −20.3515 | + | 28.0114i | −0.663439 | + | 0.913145i | −0.999589 | − | 0.0286633i | \(-0.990875\pi\) |
0.336150 | + | 0.941808i | \(0.390875\pi\) | |||||||
\(942\) | −0.167521 | + | 0.360527i | −0.00545812 | + | 0.0117466i | ||||
\(943\) | 23.2903i | 0.758435i | ||||||||
\(944\) | −23.3366 | − | 12.5351i | −0.759543 | − | 0.407983i | ||||
\(945\) | 39.4865 | − | 15.0863i | 1.28450 | − | 0.490757i | ||||
\(946\) | −4.43205 | + | 35.7836i | −0.144098 | + | 1.16342i | ||||
\(947\) | 18.3789 | − | 56.5643i | 0.597233 | − | 1.83809i | 0.0539517 | − | 0.998544i | \(-0.482818\pi\) |
0.543281 | − | 0.839551i | \(-0.317182\pi\) | |||||||
\(948\) | −48.6819 | + | 3.41897i | −1.58112 | + | 0.111043i | ||||
\(949\) | −8.00270 | −0.259779 | ||||||||
\(950\) | 1.08566 | − | 30.0219i | 0.0352234 | − | 0.974041i | ||||
\(951\) | −10.6886 | − | 14.6371i | −0.346601 | − | 0.474640i | ||||
\(952\) | −59.6004 | − | 23.0954i | −1.93166 | − | 0.748528i | ||||
\(953\) | 48.4015 | + | 15.7266i | 1.56788 | + | 0.509434i | 0.958898 | − | 0.283751i | \(-0.0915789\pi\) |
0.608980 | + | 0.793185i | \(0.291579\pi\) | |||||||
\(954\) | −25.2782 | − | 11.6715i | −0.818411 | − | 0.377877i | ||||
\(955\) | −15.2594 | − | 40.8247i | −0.493784 | − | 1.32105i | ||||
\(956\) | 20.9412 | + | 25.0641i | 0.677287 | + | 0.810631i | ||||
\(957\) | −26.5108 | − | 36.3043i | −0.856974 | − | 1.17355i | ||||
\(958\) | 4.59515 | − | 2.54079i | 0.148463 | − | 0.0820893i | ||||
\(959\) | 3.40295 | + | 2.47239i | 0.109887 | + | 0.0798376i | ||||
\(960\) | −30.9182 | − | 2.01567i | −0.997882 | − | 0.0650556i | ||||
\(961\) | −20.6709 | + | 15.0183i | −0.666803 | + | 0.484461i | ||||
\(962\) | 0.993158 | − | 2.12397i | 0.0320207 | − | 0.0684796i | ||||
\(963\) | 14.5285 | − | 10.6632i | 0.468174 | − | 0.343616i | ||||
\(964\) | −3.69074 | + | 5.87874i | −0.118871 | + | 0.189341i | ||||
\(965\) | −16.7899 | − | 11.1152i | −0.540487 | − | 0.357812i | ||||
\(966\) | −46.8707 | + | 9.17686i | −1.50804 | + | 0.295261i | ||||
\(967\) | −8.52145 | + | 2.76879i | −0.274031 | + | 0.0890381i | −0.442809 | − | 0.896616i | \(-0.646018\pi\) |
0.168778 | + | 0.985654i | \(0.446018\pi\) | |||||||
\(968\) | −0.689361 | − | 1.06892i | −0.0221569 | − | 0.0343565i | ||||
\(969\) | 37.0451 | + | 26.7784i | 1.19006 | + | 0.860245i | ||||
\(970\) | 28.7035 | + | 2.29218i | 0.921613 | + | 0.0735973i | ||||
\(971\) | 5.76139 | − | 17.7317i | 0.184892 | − | 0.569039i | −0.815055 | − | 0.579384i | \(-0.803293\pi\) |
0.999946 | + | 0.0103454i | \(0.00329310\pi\) | |||||||
\(972\) | 2.48458 | + | 31.0778i | 0.0796928 | + | 0.996819i | ||||
\(973\) | 7.97846 | − | 5.79669i | 0.255778 | − | 0.185833i | ||||
\(974\) | −30.7633 | + | 5.94606i | −0.985720 | + | 0.190524i | ||||
\(975\) | 11.8793 | − | 1.06603i | 0.380443 | − | 0.0341403i | ||||
\(976\) | 26.4164 | − | 25.2952i | 0.845568 | − | 0.809678i | ||||
\(977\) | −32.3550 | − | 44.5328i | −1.03513 | − | 1.42473i | −0.901027 | − | 0.433763i | \(-0.857185\pi\) |
−0.134101 | − | 0.990968i | \(-0.542815\pi\) | |||||||
\(978\) | 28.7609 | + | 51.7201i | 0.919671 | + | 1.65383i | ||||
\(979\) | −2.98373 | − | 0.969471i | −0.0953603 | − | 0.0309844i | ||||
\(980\) | −13.7850 | + | 24.2401i | −0.440346 | + | 0.774320i | ||||
\(981\) | −54.7278 | + | 0.264385i | −1.74732 | + | 0.00844116i | ||||
\(982\) | 8.56845 | + | 44.3308i | 0.273430 | + | 1.41465i | ||||
\(983\) | −0.328490 | − | 1.01099i | −0.0104772 | − | 0.0322455i | 0.945681 | − | 0.325095i | \(-0.105396\pi\) |
−0.956158 | + | 0.292850i | \(0.905396\pi\) | |||||||
\(984\) | −17.8631 | + | 11.5813i | −0.569456 | + | 0.369199i | ||||
\(985\) | −12.0585 | − | 15.1625i | −0.384216 | − | 0.483116i | ||||
\(986\) | 49.2307 | + | 46.0057i | 1.56782 | + | 1.46512i | ||||
\(987\) | −0.0528103 | − | 21.8636i | −0.00168097 | − | 0.695927i | ||||
\(988\) | 2.85503 | − | 11.3487i | 0.0908305 | − | 0.361049i | ||||
\(989\) | −23.7368 | − | 32.6709i | −0.754786 | − | 1.03887i | ||||
\(990\) | −32.0111 | − | 2.40074i | −1.01738 | − | 0.0763006i | ||||
\(991\) | −16.3323 | + | 22.4794i | −0.518811 | + | 0.714083i | −0.985374 | − | 0.170406i | \(-0.945492\pi\) |
0.466563 | + | 0.884488i | \(0.345492\pi\) | |||||||
\(992\) | −12.6077 | − | 3.92750i | −0.400295 | − | 0.124698i | ||||
\(993\) | −11.6463 | − | 15.9486i | −0.369584 | − | 0.506113i | ||||
\(994\) | −0.667194 | − | 1.20665i | −0.0211621 | − | 0.0382728i | ||||
\(995\) | −10.3189 | + | 15.5871i | −0.327131 | + | 0.494143i | ||||
\(996\) | −30.9128 | − | 36.8178i | −0.979509 | − | 1.16662i | ||||
\(997\) | −0.0278161 | + | 0.0856090i | −0.000880943 | + | 0.00271126i | −0.951496 | − | 0.307661i | \(-0.900454\pi\) |
0.950615 | + | 0.310372i | \(0.100454\pi\) | |||||||
\(998\) | 22.5209 | − | 24.0996i | 0.712887 | − | 0.762861i | ||||
\(999\) | 1.97607 | + | 5.93502i | 0.0625200 | + | 0.187776i |
(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 | 300.2.n.a.11.12 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.45 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.21 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.36 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.36 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.21 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.45 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.21 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.36 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.45 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.12 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.21 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.36 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.45 | yes | 224 | 100.91 | odd | 10 | inner |