Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [750,2,Mod(19,750)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(750, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("750.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 750 = 2 \cdot 3 \cdot 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 750.o (of order \(50\), degree \(20\), 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: | \(5.98878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 229.12 | ||
Character | \(\chi\) | \(=\) | 750.229 |
Dual form | 750.2.o.b.619.12 |
$q$-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 \(\left(\mathbb{Z}/750\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(251\) |
\(\chi(n)\) | \(e\left(\frac{21}{50}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.248690 | + | 0.968583i | 0.175850 | + | 0.684892i | ||||
\(3\) | −0.982287 | + | 0.187381i | −0.567124 | + | 0.108185i | ||||
\(4\) | −0.876307 | + | 0.481754i | −0.438153 | + | 0.240877i | ||||
\(5\) | 0.777768 | − | 2.09644i | 0.347829 | − | 0.937558i | ||||
\(6\) | −0.425779 | − | 0.904827i | −0.173824 | − | 0.369394i | ||||
\(7\) | −0.896785 | + | 1.23432i | −0.338953 | + | 0.466528i | −0.944135 | − | 0.329558i | \(-0.893100\pi\) |
0.605182 | + | 0.796087i | \(0.293100\pi\) | |||||||
\(8\) | −0.684547 | − | 0.728969i | −0.242024 | − | 0.257729i | ||||
\(9\) | 0.929776 | − | 0.368125i | 0.309925 | − | 0.122708i | ||||
\(10\) | 2.22400 | + | 0.231969i | 0.703292 | + | 0.0733550i | ||||
\(11\) | −4.07579 | + | 1.04648i | −1.22890 | + | 0.315527i | −0.806691 | − | 0.590974i | \(-0.798744\pi\) |
−0.422205 | + | 0.906500i | \(0.638744\pi\) | |||||||
\(12\) | 0.770513 | − | 0.637424i | 0.222428 | − | 0.184008i | ||||
\(13\) | −0.115406 | − | 0.291482i | −0.0320079 | − | 0.0808426i | 0.912894 | − | 0.408198i | \(-0.133843\pi\) |
−0.944901 | + | 0.327355i | \(0.893843\pi\) | |||||||
\(14\) | −1.41856 | − | 0.561648i | −0.379126 | − | 0.150107i | ||||
\(15\) | −0.371158 | + | 2.20505i | −0.0958325 | + | 0.569341i | ||||
\(16\) | 0.535827 | − | 0.844328i | 0.133957 | − | 0.211082i | ||||
\(17\) | 0.431682 | − | 0.785227i | 0.104698 | − | 0.190446i | −0.818769 | − | 0.574124i | \(-0.805343\pi\) |
0.923467 | + | 0.383678i | \(0.125343\pi\) | |||||||
\(18\) | 0.587785 | + | 0.809017i | 0.138542 | + | 0.190687i | ||||
\(19\) | 0.158578 | − | 0.831296i | 0.0363803 | − | 0.190712i | −0.959458 | − | 0.281852i | \(-0.909051\pi\) |
0.995838 | + | 0.0911401i | \(0.0290511\pi\) | |||||||
\(20\) | 0.328406 | + | 2.21182i | 0.0734338 | + | 0.494578i | ||||
\(21\) | 0.649612 | − | 1.38050i | 0.141757 | − | 0.301249i | ||||
\(22\) | −2.02721 | − | 3.68749i | −0.432203 | − | 0.786175i | ||||
\(23\) | −5.74535 | − | 0.361467i | −1.19799 | − | 0.0753710i | −0.548770 | − | 0.835973i | \(-0.684904\pi\) |
−0.649218 | + | 0.760602i | \(0.724904\pi\) | |||||||
\(24\) | 0.809017 | + | 0.587785i | 0.165140 | + | 0.119981i | ||||
\(25\) | −3.79015 | − | 3.26110i | −0.758031 | − | 0.652219i | ||||
\(26\) | 0.253624 | − | 0.184269i | 0.0497398 | − | 0.0361381i | ||||
\(27\) | −0.844328 | + | 0.535827i | −0.162491 | + | 0.103120i | ||||
\(28\) | 0.191221 | − | 1.51367i | 0.0361374 | − | 0.286057i | ||||
\(29\) | −6.76476 | − | 0.854588i | −1.25618 | − | 0.158693i | −0.531074 | − | 0.847326i | \(-0.678211\pi\) |
−0.725110 | + | 0.688633i | \(0.758211\pi\) | |||||||
\(30\) | −2.22808 | + | 0.188876i | −0.406789 | + | 0.0344840i | ||||
\(31\) | −7.47893 | − | 4.11158i | −1.34326 | − | 0.738461i | −0.362184 | − | 0.932106i | \(-0.617969\pi\) |
−0.981072 | + | 0.193645i | \(0.937969\pi\) | |||||||
\(32\) | 0.951057 | + | 0.309017i | 0.168125 | + | 0.0546270i | ||||
\(33\) | 3.80750 | − | 1.79167i | 0.662801 | − | 0.311890i | ||||
\(34\) | 0.867913 | + | 0.222842i | 0.148846 | + | 0.0382171i | ||||
\(35\) | 1.89019 | + | 2.84007i | 0.319500 | + | 0.480060i | ||||
\(36\) | −0.637424 | + | 0.770513i | −0.106237 | + | 0.128419i | ||||
\(37\) | 5.43962 | + | 3.45209i | 0.894269 | + | 0.567520i | 0.901657 | − | 0.432453i | \(-0.142352\pi\) |
−0.00738796 | + | 0.999973i | \(0.502352\pi\) | |||||||
\(38\) | 0.844616 | − | 0.0531387i | 0.137015 | − | 0.00862024i | ||||
\(39\) | 0.167980 | + | 0.264694i | 0.0268983 | + | 0.0423850i | ||||
\(40\) | −2.06066 | + | 0.868146i | −0.325819 | + | 0.137266i | ||||
\(41\) | −0.397336 | − | 6.31548i | −0.0620535 | − | 0.986313i | −0.898699 | − | 0.438567i | \(-0.855486\pi\) |
0.836645 | − | 0.547746i | \(-0.184514\pi\) | |||||||
\(42\) | 1.49868 | + | 0.285888i | 0.231251 | + | 0.0441135i | ||||
\(43\) | −7.89966 | + | 2.56675i | −1.20469 | + | 0.391426i | −0.841483 | − | 0.540283i | \(-0.818317\pi\) |
−0.363204 | + | 0.931710i | \(0.618317\pi\) | |||||||
\(44\) | 3.06749 | − | 2.88057i | 0.462442 | − | 0.434262i | ||||
\(45\) | −0.0486017 | − | 2.23554i | −0.00724511 | − | 0.333255i | ||||
\(46\) | −1.07870 | − | 5.65474i | −0.159046 | − | 0.833746i | ||||
\(47\) | 4.04457 | − | 4.30703i | 0.589961 | − | 0.628244i | −0.362836 | − | 0.931853i | \(-0.618192\pi\) |
0.952797 | + | 0.303609i | \(0.0981915\pi\) | |||||||
\(48\) | −0.368125 | + | 0.929776i | −0.0531342 | + | 0.134202i | ||||
\(49\) | 1.44380 | + | 4.44356i | 0.206257 | + | 0.634794i | ||||
\(50\) | 2.21607 | − | 4.48208i | 0.313400 | − | 0.633862i | ||||
\(51\) | −0.276899 | + | 0.852208i | −0.0387736 | + | 0.119333i | ||||
\(52\) | 0.241554 | + | 0.199831i | 0.0334975 | + | 0.0277115i | ||||
\(53\) | 0.628442 | + | 0.295722i | 0.0863231 | + | 0.0406206i | 0.468456 | − | 0.883487i | \(-0.344810\pi\) |
−0.382133 | + | 0.924107i | \(0.624810\pi\) | |||||||
\(54\) | −0.728969 | − | 0.684547i | −0.0992001 | − | 0.0931551i | ||||
\(55\) | −0.976123 | + | 9.35858i | −0.131620 | + | 1.26191i | ||||
\(56\) | 1.51367 | − | 0.191221i | 0.202273 | − | 0.0255530i | ||||
\(57\) | 0.846286i | 0.112093i | ||||||||
\(58\) | −0.854588 | − | 6.76476i | −0.112213 | − | 0.888256i | ||||
\(59\) | −5.57196 | − | 6.73535i | −0.725408 | − | 0.876868i | 0.270910 | − | 0.962605i | \(-0.412675\pi\) |
−0.996318 | + | 0.0857372i | \(0.972675\pi\) | |||||||
\(60\) | −0.737043 | − | 2.11111i | −0.0951518 | − | 0.272543i | ||||
\(61\) | 0.874438 | − | 13.8988i | 0.111960 | − | 1.77956i | −0.396072 | − | 0.918220i | \(-0.629627\pi\) |
0.508032 | − | 0.861338i | \(-0.330373\pi\) | |||||||
\(62\) | 2.12247 | − | 8.26648i | 0.269554 | − | 1.04984i | ||||
\(63\) | −0.379426 | + | 1.47777i | −0.0478032 | + | 0.186181i | ||||
\(64\) | −0.0627905 | + | 0.998027i | −0.00784881 | + | 0.124753i | ||||
\(65\) | −0.700835 | + | 0.0152365i | −0.0869279 | + | 0.00188985i | ||||
\(66\) | 2.68227 | + | 3.24231i | 0.330165 | + | 0.399101i | ||||
\(67\) | 0.304105 | + | 2.40724i | 0.0371524 | + | 0.294091i | 0.999733 | + | 0.0230968i | \(0.00735258\pi\) |
−0.962581 | + | 0.270995i | \(0.912647\pi\) | |||||||
\(68\) | 0.896065i | 0.108664i | ||||||||
\(69\) | 5.71132 | − | 0.721507i | 0.687562 | − | 0.0868592i | ||||
\(70\) | −2.28078 | + | 2.53710i | −0.272605 | + | 0.303242i | ||||
\(71\) | −3.46226 | − | 3.25128i | −0.410895 | − | 0.385856i | 0.451351 | − | 0.892347i | \(-0.350942\pi\) |
−0.862245 | + | 0.506491i | \(0.830942\pi\) | |||||||
\(72\) | −0.904827 | − | 0.425779i | −0.106635 | − | 0.0501786i | ||||
\(73\) | 2.81133 | + | 2.32574i | 0.329042 | + | 0.272207i | 0.787245 | − | 0.616641i | \(-0.211507\pi\) |
−0.458203 | + | 0.888847i | \(0.651507\pi\) | |||||||
\(74\) | −1.99086 | + | 6.12723i | −0.231432 | + | 0.712276i | ||||
\(75\) | 4.33409 | + | 2.49313i | 0.500457 | + | 0.287882i | ||||
\(76\) | 0.261517 | + | 0.804866i | 0.0299980 | + | 0.0923244i | ||||
\(77\) | 2.36341 | − | 5.96929i | 0.269335 | − | 0.680264i | ||||
\(78\) | −0.214603 | + | 0.228530i | −0.0242991 | + | 0.0258759i | ||||
\(79\) | 1.97603 | + | 10.3587i | 0.222320 | + | 1.16544i | 0.901934 | + | 0.431874i | \(0.142148\pi\) |
−0.679613 | + | 0.733570i | \(0.737852\pi\) | |||||||
\(80\) | −1.35334 | − | 1.78002i | −0.151308 | − | 0.199013i | ||||
\(81\) | 0.728969 | − | 0.684547i | 0.0809965 | − | 0.0760608i | ||||
\(82\) | 6.01826 | − | 1.95545i | 0.664605 | − | 0.215943i | ||||
\(83\) | 11.6177 | + | 2.21620i | 1.27521 | + | 0.243260i | 0.780147 | − | 0.625596i | \(-0.215144\pi\) |
0.495066 | + | 0.868856i | \(0.335144\pi\) | |||||||
\(84\) | 0.0957996 | + | 1.52269i | 0.0104526 | + | 0.166139i | ||||
\(85\) | −1.31044 | − | 1.51572i | −0.142137 | − | 0.164403i | ||||
\(86\) | −4.45068 | − | 7.01315i | −0.479929 | − | 0.756247i | ||||
\(87\) | 6.80507 | − | 0.428139i | 0.729580 | − | 0.0459013i | ||||
\(88\) | 3.55292 | + | 2.25475i | 0.378743 | + | 0.240357i | ||||
\(89\) | −1.53505 | + | 1.85555i | −0.162714 | + | 0.196688i | −0.845569 | − | 0.533867i | \(-0.820738\pi\) |
0.682854 | + | 0.730555i | \(0.260738\pi\) | |||||||
\(90\) | 2.15322 | − | 0.603031i | 0.226969 | − | 0.0635650i | ||||
\(91\) | 0.463276 | + | 0.118949i | 0.0485645 | + | 0.0124693i | ||||
\(92\) | 5.20883 | − | 2.45109i | 0.543058 | − | 0.255544i | ||||
\(93\) | 8.11689 | + | 2.63734i | 0.841683 | + | 0.273479i | ||||
\(94\) | 5.17756 | + | 2.84639i | 0.534024 | + | 0.293582i | ||||
\(95\) | −1.61943 | − | 0.979006i | −0.166150 | − | 0.100444i | ||||
\(96\) | −0.992115 | − | 0.125333i | −0.101257 | − | 0.0127918i | ||||
\(97\) | −1.30611 | + | 10.3389i | −0.132615 | + | 1.04976i | 0.775592 | + | 0.631234i | \(0.217451\pi\) |
−0.908207 | + | 0.418521i | \(0.862549\pi\) | |||||||
\(98\) | −3.94490 | + | 2.50351i | −0.398495 | + | 0.252893i | ||||
\(99\) | −3.40433 | + | 2.47339i | −0.342148 | + | 0.248585i | ||||
\(100\) | 4.89238 | + | 1.03180i | 0.489238 | + | 0.103180i | ||||
\(101\) | −5.12556 | − | 3.72394i | −0.510012 | − | 0.370545i | 0.302816 | − | 0.953049i | \(-0.402073\pi\) |
−0.812828 | + | 0.582504i | \(0.802073\pi\) | |||||||
\(102\) | −0.894296 | − | 0.0562644i | −0.0885485 | − | 0.00557100i | ||||
\(103\) | 2.98652 | + | 5.43246i | 0.294270 | + | 0.535276i | 0.981571 | − | 0.191097i | \(-0.0612045\pi\) |
−0.687301 | + | 0.726373i | \(0.741205\pi\) | |||||||
\(104\) | −0.133481 | + | 0.283661i | −0.0130888 | + | 0.0278152i | ||||
\(105\) | −2.38888 | − | 2.43558i | −0.233131 | − | 0.237688i | ||||
\(106\) | −0.130144 | + | 0.682241i | −0.0126407 | + | 0.0662651i | ||||
\(107\) | −8.15754 | − | 11.2279i | −0.788620 | − | 1.08544i | −0.994279 | − | 0.106818i | \(-0.965934\pi\) |
0.205659 | − | 0.978624i | \(-0.434066\pi\) | |||||||
\(108\) | 0.481754 | − | 0.876307i | 0.0463568 | − | 0.0843226i | ||||
\(109\) | −9.16845 | + | 14.4472i | −0.878178 | + | 1.38379i | 0.0448255 | + | 0.998995i | \(0.485727\pi\) |
−0.923003 | + | 0.384792i | \(0.874273\pi\) | |||||||
\(110\) | −9.30731 | + | 1.38193i | −0.887418 | + | 0.131762i | ||||
\(111\) | −5.99013 | − | 2.37166i | −0.568558 | − | 0.225108i | ||||
\(112\) | 0.561648 | + | 1.41856i | 0.0530708 | + | 0.134041i | ||||
\(113\) | 6.26107 | − | 5.17961i | 0.588992 | − | 0.487257i | −0.294533 | − | 0.955641i | \(-0.595164\pi\) |
0.883525 | + | 0.468385i | \(0.155164\pi\) | |||||||
\(114\) | −0.819698 | + | 0.210463i | −0.0767718 | + | 0.0197116i | ||||
\(115\) | −5.22635 | + | 11.7637i | −0.487359 | + | 1.09697i | ||||
\(116\) | 6.33970 | − | 2.51007i | 0.588627 | − | 0.233054i | ||||
\(117\) | −0.214603 | − | 0.228530i | −0.0198401 | − | 0.0211276i | ||||
\(118\) | 5.13805 | − | 7.07192i | 0.472996 | − | 0.651023i | ||||
\(119\) | 0.582094 | + | 1.23701i | 0.0533605 | + | 0.113397i | ||||
\(120\) | 1.86149 | − | 1.23890i | 0.169930 | − | 0.113095i | ||||
\(121\) | 5.87753 | − | 3.23120i | 0.534321 | − | 0.293746i | ||||
\(122\) | 13.6796 | − | 2.60952i | 1.23849 | − | 0.236255i | ||||
\(123\) | 1.57370 | + | 6.12916i | 0.141896 | + | 0.552648i | ||||
\(124\) | 8.53461 | 0.766430 | ||||||||
\(125\) | −9.78456 | + | 5.40947i | −0.875158 | + | 0.483837i | ||||
\(126\) | −1.52570 | −0.135920 | ||||||||
\(127\) | 4.52492 | + | 17.6234i | 0.401522 | + | 1.56382i | 0.772396 | + | 0.635141i | \(0.219058\pi\) |
−0.370874 | + | 0.928683i | \(0.620942\pi\) | |||||||
\(128\) | −0.982287 | + | 0.187381i | −0.0868227 | + | 0.0165623i | ||||
\(129\) | 7.27877 | − | 4.00154i | 0.640860 | − | 0.352316i | ||||
\(130\) | −0.189048 | − | 0.675028i | −0.0165806 | − | 0.0592039i | ||||
\(131\) | 1.01752 | + | 2.16235i | 0.0889014 | + | 0.188925i | 0.944333 | − | 0.328990i | \(-0.106708\pi\) |
−0.855432 | + | 0.517915i | \(0.826708\pi\) | |||||||
\(132\) | −2.47339 | + | 3.40433i | −0.215281 | + | 0.296309i | ||||
\(133\) | 0.883873 | + | 0.941229i | 0.0766415 | + | 0.0816149i | ||||
\(134\) | −2.25599 | + | 0.893208i | −0.194888 | + | 0.0771614i | ||||
\(135\) | 0.466639 | + | 2.18684i | 0.0401619 | + | 0.188213i | ||||
\(136\) | −0.867913 | + | 0.222842i | −0.0744229 | + | 0.0191086i | ||||
\(137\) | −8.34026 | + | 6.89967i | −0.712557 | + | 0.589478i | −0.921467 | − | 0.388457i | \(-0.873008\pi\) |
0.208910 | + | 0.977935i | \(0.433008\pi\) | |||||||
\(138\) | 2.11919 | + | 5.35245i | 0.180397 | + | 0.455631i | ||||
\(139\) | −5.90265 | − | 2.33702i | −0.500656 | − | 0.198224i | 0.104203 | − | 0.994556i | \(-0.466771\pi\) |
−0.604859 | + | 0.796332i | \(0.706771\pi\) | |||||||
\(140\) | −3.02460 | − | 1.57817i | −0.255625 | − | 0.133380i | ||||
\(141\) | −3.16587 | + | 4.98861i | −0.266614 | + | 0.420117i | ||||
\(142\) | 2.28810 | − | 4.16205i | 0.192013 | − | 0.349271i | ||||
\(143\) | 0.775402 | + | 1.06725i | 0.0648423 | + | 0.0892478i | ||||
\(144\) | 0.187381 | − | 0.982287i | 0.0156151 | − | 0.0818573i | ||||
\(145\) | −7.05301 | + | 13.5173i | −0.585721 | + | 1.12255i | ||||
\(146\) | −1.55352 | + | 3.30140i | −0.128570 | + | 0.273225i | ||||
\(147\) | −2.25087 | − | 4.09431i | −0.185648 | − | 0.337693i | ||||
\(148\) | −6.42984 | − | 0.404531i | −0.528529 | − | 0.0332522i | ||||
\(149\) | 6.43752 | + | 4.67713i | 0.527382 | + | 0.383166i | 0.819378 | − | 0.573254i | \(-0.194319\pi\) |
−0.291995 | + | 0.956420i | \(0.594319\pi\) | |||||||
\(150\) | −1.33696 | + | 4.81794i | −0.109162 | + | 0.393383i | ||||
\(151\) | 3.22418 | − | 2.34250i | 0.262380 | − | 0.190630i | −0.448816 | − | 0.893624i | \(-0.648154\pi\) |
0.711196 | + | 0.702994i | \(0.248154\pi\) | |||||||
\(152\) | −0.714543 | + | 0.453463i | −0.0579571 | + | 0.0367807i | ||||
\(153\) | 0.112307 | − | 0.888999i | 0.00907946 | − | 0.0718713i | ||||
\(154\) | 6.36951 | + | 0.804656i | 0.513270 | + | 0.0648410i | ||||
\(155\) | −14.4366 | + | 12.4813i | −1.15957 | + | 1.00252i | ||||
\(156\) | −0.274720 | − | 0.151028i | −0.0219952 | − | 0.0120919i | ||||
\(157\) | −4.61163 | − | 1.49841i | −0.368049 | − | 0.119586i | 0.119153 | − | 0.992876i | \(-0.461982\pi\) |
−0.487201 | + | 0.873290i | \(0.661982\pi\) | |||||||
\(158\) | −9.54184 | + | 4.49005i | −0.759108 | + | 0.357209i | ||||
\(159\) | −0.672723 | − | 0.172726i | −0.0533504 | − | 0.0136981i | ||||
\(160\) | 1.38754 | − | 1.75349i | 0.109695 | − | 0.138626i | ||||
\(161\) | 5.59851 | − | 6.76743i | 0.441224 | − | 0.533348i | ||||
\(162\) | 0.844328 | + | 0.535827i | 0.0663367 | + | 0.0420985i | ||||
\(163\) | 8.16105 | − | 0.513450i | 0.639223 | − | 0.0402165i | 0.260128 | − | 0.965574i | \(-0.416235\pi\) |
0.379095 | + | 0.925358i | \(0.376235\pi\) | |||||||
\(164\) | 3.39070 | + | 5.34288i | 0.264769 | + | 0.417209i | ||||
\(165\) | −0.794790 | − | 9.37572i | −0.0618743 | − | 0.729899i | ||||
\(166\) | 0.742638 | + | 11.8039i | 0.0576399 | + | 0.916160i | ||||
\(167\) | 6.19575 | + | 1.18190i | 0.479441 | + | 0.0914583i | 0.421436 | − | 0.906858i | \(-0.361526\pi\) |
0.0580049 | + | 0.998316i | \(0.481526\pi\) | |||||||
\(168\) | −1.45103 | + | 0.471468i | −0.111949 | + | 0.0363745i | ||||
\(169\) | 9.40495 | − | 8.83183i | 0.723458 | − | 0.679372i | ||||
\(170\) | 1.14221 | − | 1.64621i | 0.0876036 | − | 0.126259i | ||||
\(171\) | −0.158578 | − | 0.831296i | −0.0121268 | − | 0.0635708i | ||||
\(172\) | 5.68598 | − | 6.05495i | 0.433552 | − | 0.461686i | ||||
\(173\) | −0.476509 | + | 1.20352i | −0.0362283 | + | 0.0915023i | −0.946764 | − | 0.321927i | \(-0.895669\pi\) |
0.910536 | + | 0.413430i | \(0.135669\pi\) | |||||||
\(174\) | 2.10704 | + | 6.48480i | 0.159734 | + | 0.491612i | ||||
\(175\) | 7.42418 | − | 1.75375i | 0.561215 | − | 0.132571i | ||||
\(176\) | −1.30034 | + | 4.00203i | −0.0980168 | + | 0.301665i | ||||
\(177\) | 6.73535 | + | 5.57196i | 0.506260 | + | 0.418814i | ||||
\(178\) | −2.17901 | − | 1.02536i | −0.163323 | − | 0.0768542i | ||||
\(179\) | 3.48302 | + | 3.27077i | 0.260333 | + | 0.244469i | 0.803712 | − | 0.595018i | \(-0.202855\pi\) |
−0.543379 | + | 0.839488i | \(0.682855\pi\) | |||||||
\(180\) | 1.11957 | + | 1.93560i | 0.0834478 | + | 0.144271i | ||||
\(181\) | −11.2515 | + | 1.42139i | −0.836315 | + | 0.105651i | −0.531814 | − | 0.846861i | \(-0.678490\pi\) |
−0.304501 | + | 0.952512i | \(0.598490\pi\) | |||||||
\(182\) | 0.478303i | 0.0354542i | ||||||||
\(183\) | 1.74542 | + | 13.8165i | 0.129025 | + | 1.02134i | ||||
\(184\) | 3.66946 | + | 4.43562i | 0.270517 | + | 0.326998i | ||||
\(185\) | 11.4679 | − | 8.71894i | 0.843135 | − | 0.641029i | ||||
\(186\) | −0.535892 | + | 8.51777i | −0.0392935 | + | 0.624553i | ||||
\(187\) | −0.937717 | + | 3.65217i | −0.0685727 | + | 0.267073i | ||||
\(188\) | −1.46936 | + | 5.72276i | −0.107164 | + | 0.417375i | ||||
\(189\) | 0.0957996 | − | 1.52269i | 0.00696839 | − | 0.110759i | ||||
\(190\) | 0.545513 | − | 1.81202i | 0.0395757 | − | 0.131458i | ||||
\(191\) | 6.29475 | + | 7.60905i | 0.455472 | + | 0.550571i | 0.947395 | − | 0.320068i | \(-0.103706\pi\) |
−0.491922 | + | 0.870639i | \(0.663706\pi\) | |||||||
\(192\) | −0.125333 | − | 0.992115i | −0.00904515 | − | 0.0715997i | ||||
\(193\) | 9.92653i | 0.714527i | 0.934004 | + | 0.357264i | \(0.116290\pi\) | ||||
−0.934004 | + | 0.357264i | \(0.883710\pi\) | |||||||
\(194\) | −10.3389 | + | 1.30611i | −0.742289 | + | 0.0937729i | ||||
\(195\) | 0.685566 | − | 0.146290i | 0.0490944 | − | 0.0104760i | ||||
\(196\) | −3.40591 | − | 3.19837i | −0.243280 | − | 0.228455i | ||||
\(197\) | −20.1983 | − | 9.50462i | −1.43907 | − | 0.677176i | −0.461377 | − | 0.887204i | \(-0.652644\pi\) |
−0.977695 | + | 0.210028i | \(0.932644\pi\) | |||||||
\(198\) | −3.24231 | − | 2.68227i | −0.230421 | − | 0.190621i | ||||
\(199\) | 3.11133 | − | 9.57570i | 0.220557 | − | 0.678804i | −0.778156 | − | 0.628072i | \(-0.783845\pi\) |
0.998712 | − | 0.0507321i | \(-0.0161555\pi\) | |||||||
\(200\) | 0.217302 | + | 4.99528i | 0.0153656 | + | 0.353219i | ||||
\(201\) | −0.749791 | − | 2.30762i | −0.0528862 | − | 0.162767i | ||||
\(202\) | 2.33227 | − | 5.89063i | 0.164098 | − | 0.414464i | ||||
\(203\) | 7.12136 | − | 7.58348i | 0.499822 | − | 0.532256i | ||||
\(204\) | −0.167906 | − | 0.880193i | −0.0117558 | − | 0.0616258i | ||||
\(205\) | −13.5491 | − | 4.07899i | −0.946309 | − | 0.284889i | ||||
\(206\) | −4.51907 | + | 4.24369i | −0.314859 | + | 0.295672i | ||||
\(207\) | −5.47496 | + | 1.77892i | −0.380536 | + | 0.123644i | ||||
\(208\) | −0.307944 | − | 0.0587435i | −0.0213521 | − | 0.00407313i | ||||
\(209\) | 0.223607 | + | 3.55413i | 0.0154672 | + | 0.245845i | ||||
\(210\) | 1.76497 | − | 2.91954i | 0.121795 | − | 0.201467i | ||||
\(211\) | −14.7356 | − | 23.2197i | −1.01444 | − | 1.59851i | −0.779404 | − | 0.626522i | \(-0.784478\pi\) |
−0.235040 | − | 0.971986i | \(-0.575522\pi\) | |||||||
\(212\) | −0.693173 | + | 0.0436107i | −0.0476073 | + | 0.00299520i | ||||
\(213\) | 4.01016 | + | 2.54493i | 0.274772 | + | 0.174375i | ||||
\(214\) | 8.84645 | − | 10.6935i | 0.604731 | − | 0.730994i | ||||
\(215\) | −0.763048 | + | 18.5575i | −0.0520394 | + | 1.26561i | ||||
\(216\) | 0.968583 | + | 0.248690i | 0.0659037 | + | 0.0169212i | ||||
\(217\) | 11.7820 | − | 5.54418i | 0.799813 | − | 0.376364i | ||||
\(218\) | −16.2734 | − | 5.28754i | −1.10217 | − | 0.358117i | ||||
\(219\) | −3.19733 | − | 1.75775i | −0.216056 | − | 0.118778i | ||||
\(220\) | −3.65315 | − | 8.67124i | −0.246295 | − | 0.584615i | ||||
\(221\) | −0.278698 | − | 0.0352078i | −0.0187473 | − | 0.00236833i | ||||
\(222\) | 0.807466 | − | 6.39175i | 0.0541935 | − | 0.428986i | ||||
\(223\) | 11.7945 | − | 7.48501i | 0.789817 | − | 0.501233i | −0.0786965 | − | 0.996899i | \(-0.525076\pi\) |
0.868513 | + | 0.495666i | \(0.165076\pi\) | |||||||
\(224\) | −1.23432 | + | 0.896785i | −0.0824714 | + | 0.0599189i | ||||
\(225\) | −4.72448 | − | 1.63684i | −0.314966 | − | 0.109123i | ||||
\(226\) | 6.57395 | + | 4.77625i | 0.437292 | + | 0.317712i | ||||
\(227\) | 20.0837 | + | 1.26356i | 1.33300 | + | 0.0838654i | 0.713238 | − | 0.700922i | \(-0.247228\pi\) |
0.619765 | + | 0.784787i | \(0.287228\pi\) | |||||||
\(228\) | −0.407701 | − | 0.741606i | −0.0270007 | − | 0.0491141i | ||||
\(229\) | −1.78475 | + | 3.79279i | −0.117940 | + | 0.250635i | −0.955077 | − | 0.296359i | \(-0.904228\pi\) |
0.837137 | + | 0.546993i | \(0.184228\pi\) | |||||||
\(230\) | −12.6938 | − | 2.13665i | −0.837006 | − | 0.140886i | ||||
\(231\) | −1.20301 | + | 6.30641i | −0.0791524 | + | 0.414932i | ||||
\(232\) | 4.00783 | + | 5.51630i | 0.263127 | + | 0.362163i | ||||
\(233\) | 12.6918 | − | 23.0863i | 0.831467 | − | 1.51243i | −0.0270417 | − | 0.999634i | \(-0.508609\pi\) |
0.858509 | − | 0.512799i | \(-0.171391\pi\) | |||||||
\(234\) | 0.167980 | − | 0.264694i | 0.0109812 | − | 0.0173036i | ||||
\(235\) | −5.88370 | − | 11.8291i | −0.383810 | − | 0.771644i | ||||
\(236\) | 8.12753 | + | 3.21792i | 0.529057 | + | 0.209468i | ||||
\(237\) | −3.88205 | − | 9.80495i | −0.252166 | − | 0.636900i | ||||
\(238\) | −1.05339 | + | 0.871439i | −0.0682811 | + | 0.0564870i | ||||
\(239\) | −14.1913 | + | 3.64371i | −0.917961 | + | 0.235692i | −0.677976 | − | 0.735084i | \(-0.737143\pi\) |
−0.239985 | + | 0.970777i | \(0.577143\pi\) | |||||||
\(240\) | 1.66291 | + | 1.49490i | 0.107340 | + | 0.0964956i | ||||
\(241\) | 4.76985 | − | 1.88852i | 0.307253 | − | 0.121650i | −0.209438 | − | 0.977822i | \(-0.567164\pi\) |
0.516691 | + | 0.856172i | \(0.327164\pi\) | |||||||
\(242\) | 4.59137 | + | 4.88931i | 0.295145 | + | 0.314297i | ||||
\(243\) | −0.587785 | + | 0.809017i | −0.0377064 | + | 0.0518985i | ||||
\(244\) | 5.92952 | + | 12.6009i | 0.379598 | + | 0.806688i | ||||
\(245\) | 10.4386 | + | 0.429215i | 0.666899 | + | 0.0274215i | ||||
\(246\) | −5.54524 | + | 3.04852i | −0.353552 | + | 0.194367i | ||||
\(247\) | −0.260609 | + | 0.0497138i | −0.0165821 | + | 0.00316321i | ||||
\(248\) | 2.12247 | + | 8.26648i | 0.134777 | + | 0.524922i | ||||
\(249\) | −11.8272 | −0.749521 | ||||||||
\(250\) | −7.67284 | − | 8.13188i | −0.485273 | − | 0.514306i | ||||
\(251\) | −4.35840 | −0.275100 | −0.137550 | − | 0.990495i | \(-0.543923\pi\) | ||||
−0.137550 | + | 0.990495i | \(0.543923\pi\) | |||||||
\(252\) | −0.379426 | − | 1.47777i | −0.0239016 | − | 0.0930907i | ||||
\(253\) | 23.7951 | − | 4.53916i | 1.49598 | − | 0.285374i | ||||
\(254\) | −15.9444 | + | 8.76553i | −1.00044 | + | 0.549998i | ||||
\(255\) | 1.57124 | + | 1.24332i | 0.0983950 | + | 0.0778600i | ||||
\(256\) | −0.425779 | − | 0.904827i | −0.0266112 | − | 0.0565517i | ||||
\(257\) | 6.04054 | − | 8.31409i | 0.376799 | − | 0.518619i | −0.577934 | − | 0.816083i | \(-0.696141\pi\) |
0.954733 | + | 0.297464i | \(0.0961410\pi\) | |||||||
\(258\) | 5.68598 | + | 6.05495i | 0.353994 | + | 0.376965i | ||||
\(259\) | −9.13915 | + | 3.61845i | −0.567879 | + | 0.224839i | ||||
\(260\) | 0.606806 | − | 0.350982i | 0.0376325 | − | 0.0217670i | ||||
\(261\) | −6.60431 | + | 1.69570i | −0.408796 | + | 0.104961i | ||||
\(262\) | −1.84136 | + | 1.52331i | −0.113760 | + | 0.0941103i | ||||
\(263\) | 6.25414 | + | 15.7961i | 0.385647 | + | 0.974032i | 0.984846 | + | 0.173432i | \(0.0554858\pi\) |
−0.599199 | + | 0.800600i | \(0.704514\pi\) | |||||||
\(264\) | −3.91249 | − | 1.54906i | −0.240797 | − | 0.0953383i | ||||
\(265\) | 1.10875 | − | 1.08749i | 0.0681098 | − | 0.0668039i | ||||
\(266\) | −0.691848 | + | 1.09018i | −0.0424200 | + | 0.0668432i | ||||
\(267\) | 1.16016 | − | 2.11032i | 0.0710006 | − | 0.129150i | ||||
\(268\) | −1.42619 | − | 1.96298i | −0.0871183 | − | 0.119908i | ||||
\(269\) | 3.53458 | − | 18.5289i | 0.215507 | − | 1.12973i | −0.695874 | − | 0.718164i | \(-0.744983\pi\) |
0.911381 | − | 0.411563i | \(-0.135017\pi\) | |||||||
\(270\) | −2.00208 | + | 0.995823i | −0.121843 | + | 0.0606038i | ||||
\(271\) | 1.69857 | − | 3.60965i | 0.103181 | − | 0.219270i | −0.846570 | − | 0.532277i | \(-0.821336\pi\) |
0.949751 | + | 0.313007i | \(0.101336\pi\) | |||||||
\(272\) | −0.431682 | − | 0.785227i | −0.0261746 | − | 0.0476114i | ||||
\(273\) | −0.477359 | − | 0.0300329i | −0.0288911 | − | 0.00181767i | ||||
\(274\) | −8.75704 | − | 6.36236i | −0.529032 | − | 0.384364i | ||||
\(275\) | 18.8605 | + | 9.32519i | 1.13733 | + | 0.562330i | ||||
\(276\) | −4.65728 | + | 3.38371i | −0.280335 | + | 0.203675i | ||||
\(277\) | 8.58077 | − | 5.44552i | 0.515569 | − | 0.327190i | −0.252458 | − | 0.967608i | \(-0.581239\pi\) |
0.768026 | + | 0.640418i | \(0.221239\pi\) | |||||||
\(278\) | 0.795673 | − | 6.29840i | 0.0477213 | − | 0.377753i | ||||
\(279\) | −8.46731 | − | 1.06967i | −0.506925 | − | 0.0640395i | ||||
\(280\) | 0.776401 | − | 3.32205i | 0.0463988 | − | 0.198531i | ||||
\(281\) | −9.72207 | − | 5.34475i | −0.579970 | − | 0.318841i | 0.164627 | − | 0.986356i | \(-0.447358\pi\) |
−0.744596 | + | 0.667515i | \(0.767358\pi\) | |||||||
\(282\) | −5.61921 | − | 1.82579i | −0.334619 | − | 0.108724i | ||||
\(283\) | 13.2430 | − | 6.23170i | 0.787217 | − | 0.370436i | 0.0102255 | − | 0.999948i | \(-0.496745\pi\) |
0.776991 | + | 0.629512i | \(0.216745\pi\) | |||||||
\(284\) | 4.60032 | + | 1.18116i | 0.272978 | + | 0.0700890i | ||||
\(285\) | 1.77419 | + | 0.658214i | 0.105094 | + | 0.0389893i | ||||
\(286\) | −0.840885 | + | 1.01645i | −0.0497225 | + | 0.0601042i | ||||
\(287\) | 8.15164 | + | 5.17319i | 0.481176 | + | 0.305364i | ||||
\(288\) | 0.998027 | − | 0.0627905i | 0.0588093 | − | 0.00369997i | ||||
\(289\) | 8.67882 | + | 13.6756i | 0.510519 | + | 0.804449i | ||||
\(290\) | −14.8466 | − | 3.46982i | −0.871823 | − | 0.203755i | ||||
\(291\) | −0.654344 | − | 10.4005i | −0.0383583 | − | 0.609688i | ||||
\(292\) | −3.58402 | − | 0.683689i | −0.209739 | − | 0.0400098i | ||||
\(293\) | −14.0055 | + | 4.55065i | −0.818208 | + | 0.265852i | −0.688070 | − | 0.725644i | \(-0.741542\pi\) |
−0.130138 | + | 0.991496i | \(0.541542\pi\) | |||||||
\(294\) | 3.40591 | − | 3.19837i | 0.198637 | − | 0.186532i | ||||
\(295\) | −18.4540 | + | 6.44277i | −1.07443 | + | 0.375113i | ||||
\(296\) | −1.20721 | − | 6.32843i | −0.0701679 | − | 0.367833i | ||||
\(297\) | 2.88057 | − | 3.06749i | 0.167147 | − | 0.177994i | ||||
\(298\) | −2.92924 | + | 7.39843i | −0.169687 | + | 0.428579i | ||||
\(299\) | 0.557686 | + | 1.71638i | 0.0322518 | + | 0.0992610i | ||||
\(300\) | −4.99906 | − | 0.0967828i | −0.288621 | − | 0.00558776i | ||||
\(301\) | 3.91610 | − | 12.0525i | 0.225720 | − | 0.694696i | ||||
\(302\) | 3.07073 | + | 2.54033i | 0.176701 | + | 0.146180i | ||||
\(303\) | 5.73257 | + | 2.69754i | 0.329327 | + | 0.154970i | ||||
\(304\) | −0.616916 | − | 0.579323i | −0.0353826 | − | 0.0332264i | ||||
\(305\) | −28.4579 | − | 12.6432i | −1.62950 | − | 0.723950i | ||||
\(306\) | 0.888999 | − | 0.112307i | 0.0508207 | − | 0.00642014i | ||||
\(307\) | 29.1209i | 1.66202i | 0.556259 | + | 0.831009i | \(0.312236\pi\) | ||||
−0.556259 | + | 0.831009i | \(0.687764\pi\) | |||||||
\(308\) | 0.804656 | + | 6.36951i | 0.0458495 | + | 0.362936i | ||||
\(309\) | −3.95156 | − | 4.77662i | −0.224796 | − | 0.271732i | ||||
\(310\) | −15.6794 | − | 10.8790i | −0.890531 | − | 0.617888i | ||||
\(311\) | −1.05058 | + | 16.6985i | −0.0595730 | + | 0.946886i | 0.848797 | + | 0.528719i | \(0.177327\pi\) |
−0.908370 | + | 0.418167i | \(0.862673\pi\) | |||||||
\(312\) | 0.0779635 | − | 0.303648i | 0.00441382 | − | 0.0171907i | ||||
\(313\) | −7.21279 | + | 28.0920i | −0.407691 | + | 1.58785i | 0.350984 | + | 0.936382i | \(0.385847\pi\) |
−0.758675 | + | 0.651470i | \(0.774153\pi\) | |||||||
\(314\) | 0.304469 | − | 4.83939i | 0.0171822 | − | 0.273103i | ||||
\(315\) | 2.80295 | + | 1.94481i | 0.157928 | + | 0.109578i | ||||
\(316\) | −6.72195 | − | 8.12544i | −0.378139 | − | 0.457092i | ||||
\(317\) | −2.48547 | − | 19.6746i | −0.139598 | − | 1.10503i | −0.893824 | − | 0.448418i | \(-0.851988\pi\) |
0.754226 | − | 0.656615i | \(-0.228012\pi\) | |||||||
\(318\) | − | 0.694543i | − | 0.0389481i | ||||||
\(319\) | 28.4660 | − | 3.59609i | 1.59379 | − | 0.201343i | ||||
\(320\) | 2.04347 | + | 0.907870i | 0.114233 | + | 0.0507515i | ||||
\(321\) | 10.1169 | + | 9.50045i | 0.564673 | + | 0.530263i | ||||
\(322\) | 7.94711 | + | 3.73963i | 0.442875 | + | 0.208401i | ||||
\(323\) | −0.584301 | − | 0.483376i | −0.0325114 | − | 0.0268957i | ||||
\(324\) | −0.309017 | + | 0.951057i | −0.0171676 | + | 0.0528365i | ||||
\(325\) | −0.513145 | + | 1.48111i | −0.0284642 | + | 0.0821573i | ||||
\(326\) | 2.52689 | + | 7.77697i | 0.139951 | + | 0.430726i | ||||
\(327\) | 6.29892 | − | 15.9093i | 0.348331 | − | 0.879784i | ||||
\(328\) | −4.33179 | + | 4.61289i | −0.239183 | + | 0.254704i | ||||
\(329\) | 1.68914 | + | 8.85476i | 0.0931250 | + | 0.488179i | ||||
\(330\) | 8.88351 | − | 3.10147i | 0.489021 | − | 0.170730i | ||||
\(331\) | 12.7863 | − | 12.0071i | 0.702798 | − | 0.659971i | −0.248363 | − | 0.968667i | \(-0.579893\pi\) |
0.951161 | + | 0.308696i | \(0.0998925\pi\) | |||||||
\(332\) | −11.2484 | + | 3.65482i | −0.617335 | + | 0.200584i | ||||
\(333\) | 6.32843 | + | 1.20721i | 0.346796 | + | 0.0661549i | ||||
\(334\) | 0.396049 | + | 6.29502i | 0.0216709 | + | 0.344448i | ||||
\(335\) | 5.28317 | + | 1.23474i | 0.288650 | + | 0.0674609i | ||||
\(336\) | −0.817512 | − | 1.28819i | −0.0445989 | − | 0.0702766i | ||||
\(337\) | −11.1839 | + | 0.703632i | −0.609227 | + | 0.0383293i | −0.364408 | − | 0.931240i | \(-0.618729\pi\) |
−0.244819 | + | 0.969569i | \(0.578729\pi\) | |||||||
\(338\) | 10.8933 | + | 6.91309i | 0.592516 | + | 0.376022i | ||||
\(339\) | −5.17961 | + | 6.26107i | −0.281318 | + | 0.340055i | ||||
\(340\) | 1.87855 | + | 0.696931i | 0.101879 | + | 0.0377964i | ||||
\(341\) | 34.7852 | + | 8.93133i | 1.88373 | + | 0.483659i | ||||
\(342\) | 0.765742 | − | 0.360331i | 0.0414066 | − | 0.0194845i | ||||
\(343\) | −16.9367 | − | 5.50308i | −0.914498 | − | 0.297138i | ||||
\(344\) | 7.27877 | + | 4.00154i | 0.392445 | + | 0.215749i | ||||
\(345\) | 2.92948 | − | 12.5346i | 0.157718 | − | 0.674841i | ||||
\(346\) | −1.28422 | − | 0.162234i | −0.0690399 | − | 0.00872177i | ||||
\(347\) | 4.16401 | − | 32.9616i | 0.223536 | − | 1.76947i | −0.337160 | − | 0.941447i | \(-0.609466\pi\) |
0.560696 | − | 0.828022i | \(-0.310534\pi\) | |||||||
\(348\) | −5.75707 | + | 3.65355i | −0.308611 | + | 0.195851i | ||||
\(349\) | −2.09449 | + | 1.52173i | −0.112115 | + | 0.0814565i | −0.642430 | − | 0.766344i | \(-0.722074\pi\) |
0.530315 | + | 0.847801i | \(0.322074\pi\) | |||||||
\(350\) | 3.54498 | + | 6.75479i | 0.189487 | + | 0.361059i | ||||
\(351\) | 0.253624 | + | 0.184269i | 0.0135375 | + | 0.00983555i | ||||
\(352\) | −4.19968 | − | 0.264222i | −0.223844 | − | 0.0140831i | ||||
\(353\) | 8.07373 | + | 14.6861i | 0.429721 | + | 0.781660i | 0.999185 | − | 0.0403560i | \(-0.0128492\pi\) |
−0.569464 | + | 0.822016i | \(0.692849\pi\) | |||||||
\(354\) | −3.72190 | + | 7.90944i | −0.197817 | + | 0.420382i | ||||
\(355\) | −9.50896 | + | 4.72969i | −0.504683 | + | 0.251026i | ||||
\(356\) | 0.451252 | − | 2.36555i | 0.0239163 | − | 0.125374i | ||||
\(357\) | −0.803577 | − | 1.10603i | −0.0425298 | − | 0.0585373i | ||||
\(358\) | −2.30182 | + | 4.18700i | −0.121655 | + | 0.221290i | ||||
\(359\) | −5.85701 | + | 9.22917i | −0.309121 | + | 0.487097i | −0.963000 | − | 0.269503i | \(-0.913141\pi\) |
0.653879 | + | 0.756599i | \(0.273141\pi\) | |||||||
\(360\) | −1.59637 | + | 1.56576i | −0.0841360 | + | 0.0825229i | ||||
\(361\) | 16.9998 | + | 6.73072i | 0.894729 | + | 0.354248i | ||||
\(362\) | −4.17486 | − | 10.5445i | −0.219426 | − | 0.554206i | ||||
\(363\) | −5.16796 | + | 4.27531i | −0.271248 | + | 0.224395i | ||||
\(364\) | −0.463276 | + | 0.118949i | −0.0242823 | + | 0.00623463i | ||||
\(365\) | 7.06234 | − | 4.08492i | 0.369660 | − | 0.213814i | ||||
\(366\) | −12.9483 | + | 5.12660i | −0.676819 | + | 0.267972i | ||||
\(367\) | −23.2637 | − | 24.7733i | −1.21436 | − | 1.29316i | −0.943825 | − | 0.330446i | \(-0.892801\pi\) |
−0.270531 | − | 0.962711i | \(-0.587199\pi\) | |||||||
\(368\) | −3.38371 | + | 4.65728i | −0.176388 | + | 0.242777i | ||||
\(369\) | −2.69432 | − | 5.72572i | −0.140261 | − | 0.298069i | ||||
\(370\) | 11.2970 | + | 8.93928i | 0.587301 | + | 0.464731i | ||||
\(371\) | −0.928592 | + | 0.510498i | −0.0482101 | + | 0.0265037i | ||||
\(372\) | −8.38344 | + | 1.59923i | −0.434661 | + | 0.0829160i | ||||
\(373\) | −8.98011 | − | 34.9752i | −0.464973 | − | 1.81095i | −0.576389 | − | 0.817175i | \(-0.695539\pi\) |
0.111416 | − | 0.993774i | \(-0.464461\pi\) | |||||||
\(374\) | −3.77063 | −0.194975 | ||||||||
\(375\) | 8.59762 | − | 7.14709i | 0.443979 | − | 0.369074i | ||||
\(376\) | −5.90838 | −0.304702 | ||||||||
\(377\) | 0.531596 | + | 2.07043i | 0.0273786 | + | 0.106633i | ||||
\(378\) | 1.49868 | − | 0.285888i | 0.0770836 | − | 0.0147045i | ||||
\(379\) | 19.3251 | − | 10.6241i | 0.992665 | − | 0.545722i | 0.0993016 | − | 0.995057i | \(-0.468339\pi\) |
0.893363 | + | 0.449335i | \(0.148339\pi\) | |||||||
\(380\) | 1.89076 | + | 0.0777440i | 0.0969937 | + | 0.00398818i | ||||
\(381\) | −7.74707 | − | 16.4634i | −0.396894 | − | 0.843444i | ||||
\(382\) | −5.80456 | + | 7.98929i | −0.296987 | + | 0.408767i | ||||
\(383\) | −4.81556 | − | 5.12805i | −0.246064 | − | 0.262031i | 0.594067 | − | 0.804416i | \(-0.297522\pi\) |
−0.840130 | + | 0.542385i | \(0.817522\pi\) | |||||||
\(384\) | 0.929776 | − | 0.368125i | 0.0474475 | − | 0.0187858i | ||||
\(385\) | −10.6761 | − | 9.59748i | −0.544104 | − | 0.489133i | ||||
\(386\) | −9.61467 | + | 2.46863i | −0.489374 | + | 0.125650i | ||||
\(387\) | −6.40003 | + | 5.29457i | −0.325332 | + | 0.269138i | ||||
\(388\) | −3.83625 | − | 9.68926i | −0.194756 | − | 0.491898i | ||||
\(389\) | −24.7975 | − | 9.81804i | −1.25729 | − | 0.497795i | −0.357413 | − | 0.933947i | \(-0.616341\pi\) |
−0.899873 | + | 0.436152i | \(0.856341\pi\) | |||||||
\(390\) | 0.312187 | + | 0.627647i | 0.0158082 | + | 0.0317821i | ||||
\(391\) | −2.76400 | + | 4.35537i | −0.139781 | + | 0.220260i | ||||
\(392\) | 2.25087 | − | 4.09431i | 0.113686 | − | 0.206794i | ||||
\(393\) | −1.40468 | − | 1.93338i | −0.0708569 | − | 0.0975261i | ||||
\(394\) | 4.18289 | − | 21.9275i | 0.210731 | − | 1.10469i | ||||
\(395\) | 23.2533 | + | 3.91404i | 1.17000 | + | 0.196937i | ||||
\(396\) | 1.79167 | − | 3.80750i | 0.0900350 | − | 0.191334i | ||||
\(397\) | 9.18729 | + | 16.7116i | 0.461097 | + | 0.838732i | 0.999993 | − | 0.00363990i | \(-0.00115862\pi\) |
−0.538897 | + | 0.842372i | \(0.681159\pi\) | |||||||
\(398\) | 10.0486 | + | 0.632206i | 0.503692 | + | 0.0316896i | ||||
\(399\) | −1.04459 | − | 0.758936i | −0.0522947 | − | 0.0379943i | ||||
\(400\) | −4.78430 | + | 1.45275i | −0.239215 | + | 0.0726375i | ||||
\(401\) | 24.0792 | − | 17.4946i | 1.20246 | − | 0.873638i | 0.207935 | − | 0.978143i | \(-0.433326\pi\) |
0.994524 | + | 0.104505i | \(0.0333258\pi\) | |||||||
\(402\) | 2.04866 | − | 1.30012i | 0.102178 | − | 0.0648439i | ||||
\(403\) | −0.335338 | + | 2.65448i | −0.0167044 | + | 0.132229i | ||||
\(404\) | 6.28558 | + | 0.794053i | 0.312719 | + | 0.0395056i | ||||
\(405\) | −0.868146 | − | 2.06066i | −0.0431385 | − | 0.102395i | ||||
\(406\) | 9.11625 | + | 5.01170i | 0.452432 | + | 0.248726i | ||||
\(407\) | −25.7833 | − | 8.37750i | −1.27803 | − | 0.415257i | ||||
\(408\) | 0.810783 | − | 0.381526i | 0.0401398 | − | 0.0188883i | ||||
\(409\) | −9.01595 | − | 2.31490i | −0.445810 | − | 0.114465i | 0.0191097 | − | 0.999817i | \(-0.493917\pi\) |
−0.464920 | + | 0.885353i | \(0.653917\pi\) | |||||||
\(410\) | 0.581318 | − | 14.1378i | 0.0287093 | − | 0.698217i | ||||
\(411\) | 6.89967 | − | 8.34026i | 0.340335 | − | 0.411395i | ||||
\(412\) | −5.23421 | − | 3.32173i | −0.257871 | − | 0.163650i | ||||
\(413\) | 13.3104 | − | 0.837420i | 0.654963 | − | 0.0412068i | ||||
\(414\) | −3.08460 | − | 4.86055i | −0.151600 | − | 0.238883i | ||||
\(415\) | 13.6821 | − | 22.6323i | 0.671626 | − | 1.11097i | ||||
\(416\) | −0.0196846 | − | 0.312878i | −0.000965119 | − | 0.0153401i | ||||
\(417\) | 6.23601 | + | 1.18958i | 0.305379 | + | 0.0582541i | ||||
\(418\) | −3.38687 | + | 1.10046i | −0.165657 | + | 0.0538252i | ||||
\(419\) | −9.88216 | + | 9.27996i | −0.482775 | + | 0.453356i | −0.887315 | − | 0.461165i | \(-0.847432\pi\) |
0.404540 | + | 0.914520i | \(0.367432\pi\) | |||||||
\(420\) | 3.26675 | + | 0.983462i | 0.159401 | + | 0.0479880i | ||||
\(421\) | −4.90864 | − | 25.7320i | −0.239232 | − | 1.25410i | −0.875722 | − | 0.482815i | \(-0.839614\pi\) |
0.636490 | − | 0.771285i | \(-0.280386\pi\) | |||||||
\(422\) | 18.8256 | − | 20.0472i | 0.916414 | − | 0.975882i | ||||
\(423\) | 2.17502 | − | 5.49348i | 0.105753 | − | 0.267102i | ||||
\(424\) | −0.214626 | − | 0.660550i | −0.0104231 | − | 0.0320791i | ||||
\(425\) | −4.19684 | + | 1.56837i | −0.203577 | + | 0.0760773i | ||||
\(426\) | −1.46769 | + | 4.51707i | −0.0711096 | + | 0.218853i | ||||
\(427\) | 16.3713 | + | 13.5436i | 0.792265 | + | 0.655419i | ||||
\(428\) | 12.5576 | + | 5.90915i | 0.606994 | + | 0.285630i | ||||
\(429\) | −0.961650 | − | 0.903049i | −0.0464289 | − | 0.0435996i | ||||
\(430\) | −18.1643 | + | 3.87599i | −0.875959 | + | 0.186917i | ||||
\(431\) | −22.1706 | + | 2.80080i | −1.06792 | + | 0.134910i | −0.639593 | − | 0.768714i | \(-0.720897\pi\) |
−0.428328 | + | 0.903623i | \(0.640897\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −4.06717 | − | 32.1950i | −0.195456 | − | 1.54719i | −0.718889 | − | 0.695125i | \(-0.755349\pi\) |
0.523433 | − | 0.852067i | \(-0.324651\pi\) | |||||||
\(434\) | 8.30006 | + | 10.0331i | 0.398416 | + | 0.481602i | ||||
\(435\) | 4.39520 | − | 14.5994i | 0.210734 | − | 0.699989i | ||||
\(436\) | 1.07440 | − | 17.0771i | 0.0514544 | − | 0.817844i | ||||
\(437\) | −1.21157 | + | 4.71876i | −0.0579574 | + | 0.225729i | ||||
\(438\) | 0.907382 | − | 3.53402i | 0.0433564 | − | 0.168862i | ||||
\(439\) | 0.411834 | − | 6.54592i | 0.0196558 | − | 0.312420i | −0.975898 | − | 0.218226i | \(-0.929973\pi\) |
0.995554 | − | 0.0941932i | \(-0.0300271\pi\) | |||||||
\(440\) | 7.49031 | − | 5.69483i | 0.357087 | − | 0.271490i | ||||
\(441\) | 2.97820 | + | 3.60002i | 0.141819 | + | 0.171430i | ||||
\(442\) | −0.0352078 | − | 0.278698i | −0.00167466 | − | 0.0132563i | ||||
\(443\) | 0.749076i | 0.0355897i | 0.999842 | + | 0.0177948i | \(0.00566457\pi\) | ||||
−0.999842 | + | 0.0177948i | \(0.994335\pi\) | |||||||
\(444\) | 6.39175 | − | 0.807466i | 0.303339 | − | 0.0383206i | ||||
\(445\) | 2.69615 | + | 4.66133i | 0.127810 | + | 0.220968i | ||||
\(446\) | 10.1830 | + | 9.56249i | 0.482180 | + | 0.452797i | ||||
\(447\) | −7.19990 | − | 3.38802i | −0.340544 | − | 0.160248i | ||||
\(448\) | −1.17557 | − | 0.972519i | −0.0555406 | − | 0.0459472i | ||||
\(449\) | −6.12307 | + | 18.8449i | −0.288965 | + | 0.889344i | 0.696217 | + | 0.717832i | \(0.254865\pi\) |
−0.985182 | + | 0.171512i | \(0.945135\pi\) | |||||||
\(450\) | 0.410486 | − | 4.98312i | 0.0193505 | − | 0.234907i | ||||
\(451\) | 8.22851 | + | 25.3247i | 0.387465 | + | 1.19250i | ||||
\(452\) | −2.99132 | + | 7.55522i | −0.140700 | + | 0.355368i | ||||
\(453\) | −2.72813 | + | 2.90516i | −0.128179 | + | 0.136497i | ||||
\(454\) | 3.77075 | + | 19.7670i | 0.176970 | + | 0.927710i | ||||
\(455\) | 0.609691 | − | 0.878717i | 0.0285828 | − | 0.0411949i | ||||
\(456\) | 0.616916 | − | 0.579323i | 0.0288897 | − | 0.0271293i | ||||
\(457\) | −25.0238 | + | 8.13071i | −1.17056 | + | 0.380339i | −0.828853 | − | 0.559467i | \(-0.811006\pi\) |
−0.341710 | + | 0.939806i | \(0.611006\pi\) | |||||||
\(458\) | −4.11748 | − | 0.785451i | −0.192397 | − | 0.0367017i | ||||
\(459\) | 0.0562644 | + | 0.894296i | 0.00262620 | + | 0.0417422i | ||||
\(460\) | −1.08731 | − | 12.8264i | −0.0506959 | − | 0.598033i | ||||
\(461\) | −8.73519 | − | 13.7645i | −0.406839 | − | 0.641075i | 0.577699 | − | 0.816250i | \(-0.303951\pi\) |
−0.984537 | + | 0.175175i | \(0.943951\pi\) | |||||||
\(462\) | −6.40746 | + | 0.403123i | −0.298102 | + | 0.0187550i | ||||
\(463\) | −5.97399 | − | 3.79121i | −0.277635 | − | 0.176192i | 0.389718 | − | 0.920934i | \(-0.372573\pi\) |
−0.667353 | + | 0.744742i | \(0.732573\pi\) | |||||||
\(464\) | −4.34629 | + | 5.25376i | −0.201771 | + | 0.243900i | ||||
\(465\) | 11.8421 | − | 14.9654i | 0.549164 | − | 0.694002i | ||||
\(466\) | 25.5173 | + | 6.55173i | 1.18207 | + | 0.303503i | ||||
\(467\) | −11.0153 | + | 5.18340i | −0.509727 | + | 0.239859i | −0.663403 | − | 0.748262i | \(-0.730889\pi\) |
0.153677 | + | 0.988121i | \(0.450889\pi\) | |||||||
\(468\) | 0.298153 | + | 0.0968759i | 0.0137821 | + | 0.00447809i | ||||
\(469\) | −3.24402 | − | 1.78342i | −0.149795 | − | 0.0823505i | ||||
\(470\) | 9.99423 | − | 8.64063i | 0.460999 | − | 0.398562i | ||||
\(471\) | 4.81072 | + | 0.607736i | 0.221666 | + | 0.0280030i | ||||
\(472\) | −1.09559 | + | 8.67245i | −0.0504284 | + | 0.399182i | ||||
\(473\) | 29.5113 | − | 18.7284i | 1.35693 | − | 0.861133i | ||||
\(474\) | 8.53148 | − | 6.19848i | 0.391864 | − | 0.284706i | ||||
\(475\) | −3.31197 | + | 2.63360i | −0.151964 | + | 0.120838i | ||||
\(476\) | −1.10603 | − | 0.803577i | −0.0506947 | − | 0.0368319i | ||||
\(477\) | 0.693173 | + | 0.0436107i | 0.0317382 | + | 0.00199680i | ||||
\(478\) | −7.05848 | − | 12.8393i | −0.322847 | − | 0.587257i | ||||
\(479\) | 3.75618 | − | 7.98229i | 0.171624 | − | 0.364720i | −0.800448 | − | 0.599402i | \(-0.795405\pi\) |
0.972072 | + | 0.234682i | \(0.0754050\pi\) | |||||||
\(480\) | −1.03439 | + | 1.98243i | −0.0472132 | + | 0.0904852i | ||||
\(481\) | 0.378458 | − | 1.98395i | 0.0172562 | − | 0.0904601i | ||||
\(482\) | 3.01540 | + | 4.15034i | 0.137348 | + | 0.189043i | ||||
\(483\) | −4.23125 | + | 7.69662i | −0.192529 | + | 0.350208i | ||||
\(484\) | −3.59388 | + | 5.66305i | −0.163358 | + | 0.257411i | ||||
\(485\) | 20.6591 | + | 10.7794i | 0.938079 | + | 0.489469i | ||||
\(486\) | −0.929776 | − | 0.368125i | −0.0421755 | − | 0.0166985i | ||||
\(487\) | −13.1597 | − | 33.2376i | −0.596323 | − | 1.50614i | −0.843478 | − | 0.537164i | \(-0.819496\pi\) |
0.247155 | − | 0.968976i | \(-0.420504\pi\) | |||||||
\(488\) | −10.7304 | + | 8.87694i | −0.485741 | + | 0.401840i | ||||
\(489\) | −7.92029 | + | 2.03358i | −0.358168 | + | 0.0919618i | ||||
\(490\) | 2.18025 | + | 10.2174i | 0.0984936 | + | 0.461576i | ||||
\(491\) | −3.97023 | + | 1.57192i | −0.179174 | + | 0.0709399i | −0.455999 | − | 0.889980i | \(-0.650718\pi\) |
0.276825 | + | 0.960920i | \(0.410718\pi\) | |||||||
\(492\) | −4.33179 | − | 4.61289i | −0.195292 | − | 0.207965i | ||||
\(493\) | −3.59127 | + | 4.94296i | −0.161743 | + | 0.222620i | ||||
\(494\) | −0.112963 | − | 0.240058i | −0.00508243 | − | 0.0108007i | ||||
\(495\) | 2.53755 | + | 9.06072i | 0.114054 | + | 0.407249i | ||||
\(496\) | −7.47893 | + | 4.11158i | −0.335814 | + | 0.184615i | ||||
\(497\) | 7.11801 | − | 1.35783i | 0.319286 | − | 0.0609071i | ||||
\(498\) | −2.94131 | − | 11.4557i | −0.131803 | − | 0.513341i | ||||
\(499\) | −24.5825 | −1.10046 | −0.550232 | − | 0.835012i | \(-0.685461\pi\) | ||||
−0.550232 | + | 0.835012i | \(0.685461\pi\) | |||||||
\(500\) | 5.96825 | − | 9.45410i | 0.266908 | − | 0.422800i | ||||
\(501\) | −6.30747 | −0.281797 | ||||||||
\(502\) | −1.08389 | − | 4.22147i | −0.0483764 | − | 0.188414i | ||||
\(503\) | −2.40681 | + | 0.459124i | −0.107314 | + | 0.0204713i | −0.240759 | − | 0.970585i | \(-0.577396\pi\) |
0.133444 | + | 0.991056i | \(0.457396\pi\) | |||||||
\(504\) | 1.33698 | − | 0.735012i | 0.0595539 | − | 0.0327400i | ||||
\(505\) | −11.7935 | + | 7.84908i | −0.524805 | + | 0.349280i | ||||
\(506\) | 10.3141 | + | 21.9187i | 0.458520 | + | 0.974404i | ||||
\(507\) | −7.58344 | + | 10.4377i | −0.336792 | + | 0.463555i | ||||
\(508\) | −12.4554 | − | 13.2636i | −0.552617 | − | 0.588478i | ||||
\(509\) | −3.49756 | + | 1.38478i | −0.155027 | + | 0.0613794i | −0.444356 | − | 0.895850i | \(-0.646568\pi\) |
0.289330 | + | 0.957230i | \(0.406568\pi\) | |||||||
\(510\) | −0.813510 | + | 1.83108i | −0.0360229 | + | 0.0810816i | ||||
\(511\) | −5.39186 | + | 1.38439i | −0.238522 | + | 0.0612420i | ||||
\(512\) | 0.770513 | − | 0.637424i | 0.0340522 | − | 0.0281704i | ||||
\(513\) | 0.311539 | + | 0.786857i | 0.0137548 | + | 0.0347406i | ||||
\(514\) | 9.55511 | + | 3.78314i | 0.421458 | + | 0.166867i | ||||
\(515\) | 13.7117 | − | 2.03588i | 0.604208 | − | 0.0897114i | ||||
\(516\) | −4.45068 | + | 7.01315i | −0.195930 | + | 0.308737i | ||||
\(517\) | −11.9776 | + | 21.7871i | −0.526772 | + | 0.958195i | ||||
\(518\) | −5.77758 | − | 7.95216i | −0.253852 | − | 0.349398i | ||||
\(519\) | 0.242551 | − | 1.27150i | 0.0106468 | − | 0.0558125i | ||||
\(520\) | 0.490862 | + | 0.500457i | 0.0215257 | + | 0.0219465i | ||||
\(521\) | −14.5347 | + | 30.8878i | −0.636776 | + | 1.35322i | 0.282371 | + | 0.959305i | \(0.408879\pi\) |
−0.919148 | + | 0.393913i | \(0.871121\pi\) | |||||||
\(522\) | −3.28485 | − | 5.97512i | −0.143774 | − | 0.261524i | ||||
\(523\) | −10.3149 | − | 0.648957i | −0.451038 | − | 0.0283769i | −0.164353 | − | 0.986402i | \(-0.552553\pi\) |
−0.286686 | + | 0.958025i | \(0.592553\pi\) | |||||||
\(524\) | −1.93338 | − | 1.40468i | −0.0844601 | − | 0.0613639i | ||||
\(525\) | −6.96406 | + | 3.11384i | −0.303936 | + | 0.135899i | ||||
\(526\) | −13.7445 | + | 9.98599i | −0.599291 | + | 0.435410i | ||||
\(527\) | −6.45705 | + | 4.09777i | −0.281273 | + | 0.178502i | ||||
\(528\) | 0.527401 | − | 4.17481i | 0.0229522 | − | 0.181685i | ||||
\(529\) | 10.0597 | + | 1.27084i | 0.437380 | + | 0.0552540i | ||||
\(530\) | 1.32906 | + | 0.803466i | 0.0577306 | + | 0.0349003i | ||||
\(531\) | −7.66013 | − | 4.21119i | −0.332421 | − | 0.182750i | ||||
\(532\) | −1.22798 | − | 0.398996i | −0.0532399 | − | 0.0172987i | ||||
\(533\) | −1.79500 | + | 0.844661i | −0.0777499 | + | 0.0365863i | ||||
\(534\) | 2.33254 | + | 0.598895i | 0.100939 | + | 0.0259167i | ||||
\(535\) | −29.8833 | + | 8.36913i | −1.29197 | + | 0.361829i | ||||
\(536\) | 1.54663 | − | 1.86955i | 0.0668042 | − | 0.0807524i | ||||
\(537\) | −4.03421 | − | 2.56019i | −0.174089 | − | 0.110480i | ||||
\(538\) | 18.8258 | − | 1.18442i | 0.811638 | − | 0.0510639i | ||||
\(539\) | −10.5347 | − | 16.6001i | −0.453763 | − | 0.715016i | ||||
\(540\) | −1.46243 | − | 1.69153i | −0.0629332 | − | 0.0727920i | ||||
\(541\) | −0.231113 | − | 3.67343i | −0.00993631 | − | 0.157933i | −0.999866 | − | 0.0163729i | \(-0.994788\pi\) |
0.989930 | − | 0.141560i | \(-0.0452119\pi\) | |||||||
\(542\) | 3.91866 | + | 0.747524i | 0.168321 | + | 0.0321089i | ||||
\(543\) | 10.7858 | − | 3.50453i | 0.462864 | − | 0.150394i | ||||
\(544\) | 0.653203 | − | 0.613398i | 0.0280058 | − | 0.0262992i | ||||
\(545\) | 23.1567 | + | 30.4577i | 0.991925 | + | 1.30466i | ||||
\(546\) | −0.0896250 | − | 0.469831i | −0.00383560 | − | 0.0201069i | ||||
\(547\) | −13.8188 | + | 14.7156i | −0.590850 | + | 0.629192i | −0.953015 | − | 0.302922i | \(-0.902038\pi\) |
0.362165 | + | 0.932114i | \(0.382038\pi\) | |||||||
\(548\) | 3.98469 | − | 10.0642i | 0.170218 | − | 0.429920i | ||||
\(549\) | −4.30345 | − | 13.2447i | −0.183667 | − | 0.565269i | ||||
\(550\) | −4.34180 | + | 20.5871i | −0.185135 | + | 0.877836i | ||||
\(551\) | −1.78316 | + | 5.48800i | −0.0759651 | + | 0.233796i | ||||
\(552\) | −4.43562 | − | 3.66946i | −0.188793 | − | 0.156183i | ||||
\(553\) | −14.5580 | − | 6.85047i | −0.619069 | − | 0.291312i | ||||
\(554\) | 7.40839 | + | 6.95694i | 0.314752 | + | 0.295572i | ||||
\(555\) | −9.63099 | + | 10.7134i | −0.408813 | + | 0.454757i | ||||
\(556\) | 6.29840 | − | 0.795673i | 0.267112 | − | 0.0337440i | ||||
\(557\) | 23.4697i | 0.994442i | 0.867624 | + | 0.497221i | \(0.165646\pi\) | ||||
−0.867624 | + | 0.497221i | \(0.834354\pi\) | |||||||
\(558\) | −1.06967 | − | 8.46731i | −0.0452827 | − | 0.358450i | ||||
\(559\) | 1.65983 | + | 2.00639i | 0.0702034 | + | 0.0848613i | ||||
\(560\) | 3.41077 | − | 0.0741516i | 0.144131 | − | 0.00313348i | ||||
\(561\) | 0.236760 | − | 3.76319i | 0.00999601 | − | 0.158882i | ||||
\(562\) | 2.75906 | − | 10.7458i | 0.116384 | − | 0.453285i | ||||
\(563\) | −0.897459 | + | 3.49537i | −0.0378234 | + | 0.147312i | −0.984690 | − | 0.174314i | \(-0.944229\pi\) |
0.946867 | + | 0.321626i | \(0.104229\pi\) | |||||||
\(564\) | 0.370990 | − | 5.89672i | 0.0156215 | − | 0.248297i | ||||
\(565\) | −5.98909 | − | 17.1545i | −0.251963 | − | 0.721696i | ||||
\(566\) | 9.32933 | + | 11.2772i | 0.392141 | + | 0.474017i | ||||
\(567\) | 0.191221 | + | 1.51367i | 0.00803053 | + | 0.0635682i | ||||
\(568\) | 4.74953i | 0.199286i | ||||||||
\(569\) | −6.52635 | + | 0.824469i | −0.273599 | + | 0.0345635i | −0.260935 | − | 0.965356i | \(-0.584031\pi\) |
−0.0126633 | + | 0.999920i | \(0.504031\pi\) | |||||||
\(570\) | −0.196312 | + | 1.88214i | −0.00822261 | + | 0.0788343i | ||||
\(571\) | 29.5026 | + | 27.7048i | 1.23464 | + | 1.15941i | 0.981394 | + | 0.192007i | \(0.0614997\pi\) |
0.253250 | + | 0.967401i | \(0.418500\pi\) | |||||||
\(572\) | −1.19364 | − | 0.561685i | −0.0499086 | − | 0.0234852i | ||||
\(573\) | −7.60905 | − | 6.29475i | −0.317873 | − | 0.262967i | ||||
\(574\) | −2.98343 | + | 9.18206i | −0.124526 | + | 0.383252i | ||||
\(575\) | 20.5970 | + | 20.1061i | 0.858953 | + | 0.838484i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −15.1144 | + | 38.1746i | −0.629221 | + | 1.58923i | 0.168164 | + | 0.985759i | \(0.446216\pi\) |
−0.797385 | + | 0.603471i | \(0.793784\pi\) | |||||||
\(578\) | −11.0877 | + | 11.8072i | −0.461186 | + | 0.491113i | ||||
\(579\) | −1.86005 | − | 9.75070i | −0.0773009 | − | 0.405225i | ||||
\(580\) | −0.331392 | − | 15.2431i | −0.0137603 | − | 0.632935i | ||||
\(581\) | −13.1541 | + | 12.3525i | −0.545725 | + | 0.512470i | ||||
\(582\) | 9.91102 | − | 3.22029i | 0.410825 | − | 0.133485i | ||||
\(583\) | −2.87086 | − | 0.547646i | −0.118899 | − | 0.0226812i | ||||
\(584\) | −0.229101 | − | 3.64145i | −0.00948025 | − | 0.150684i | ||||
\(585\) | −0.646011 | + | 0.272161i | −0.0267093 | + | 0.0112525i | ||||
\(586\) | −7.89070 | − | 12.4338i | −0.325962 | − | 0.513634i | ||||
\(587\) | −30.4434 | + | 1.91534i | −1.25653 | + | 0.0790544i | −0.677055 | − | 0.735932i | \(-0.736744\pi\) |
−0.579479 | + | 0.814987i | \(0.696744\pi\) | |||||||
\(588\) | 3.94490 | + | 2.50351i | 0.162685 | + | 0.103243i | ||||
\(589\) | −4.60393 | + | 5.56520i | −0.189702 | + | 0.229310i | ||||
\(590\) | −10.8297 | − | 16.2720i | −0.445851 | − | 0.669906i | ||||
\(591\) | 21.6216 | + | 5.55147i | 0.889392 | + | 0.228357i | ||||
\(592\) | 5.82939 | − | 2.74310i | 0.239587 | − | 0.112741i | ||||
\(593\) | −24.6696 | − | 8.01565i | −1.01306 | − | 0.329163i | −0.244988 | − | 0.969526i | \(-0.578784\pi\) |
−0.768072 | + | 0.640363i | \(0.778784\pi\) | |||||||
\(594\) | 3.68749 | + | 2.02721i | 0.151299 | + | 0.0831776i | ||||
\(595\) | 3.04606 | − | 0.258218i | 0.124876 | − | 0.0105859i | ||||
\(596\) | −7.89447 | − | 0.997303i | −0.323370 | − | 0.0408511i | ||||
\(597\) | −1.26192 | + | 9.98910i | −0.0516468 | + | 0.408827i | ||||
\(598\) | −1.52377 | + | 0.967013i | −0.0623115 | + | 0.0395441i | ||||
\(599\) | 26.2026 | − | 19.0373i | 1.07061 | − | 0.777842i | 0.0945863 | − | 0.995517i | \(-0.469847\pi\) |
0.976021 | + | 0.217675i | \(0.0698472\pi\) | |||||||
\(600\) | −1.14947 | − | 4.86608i | −0.0469271 | − | 0.198657i | ||||
\(601\) | 34.2553 | + | 24.8879i | 1.39730 | + | 1.01520i | 0.995019 | + | 0.0996835i | \(0.0317830\pi\) |
0.402282 | + | 0.915516i | \(0.368217\pi\) | |||||||
\(602\) | 12.6478 | + | 0.795730i | 0.515484 | + | 0.0324315i | ||||
\(603\) | 1.16892 | + | 2.12625i | 0.0476019 | + | 0.0865875i | ||||
\(604\) | −1.69686 | + | 3.60601i | −0.0690443 | + | 0.146727i | ||||
\(605\) | −2.20267 | − | 14.8350i | −0.0895514 | − | 0.603130i | ||||
\(606\) | −1.18716 | + | 6.22332i | −0.0482251 | + | 0.252805i | ||||
\(607\) | −13.5401 | − | 18.6364i | −0.549576 | − | 0.756426i | 0.440379 | − | 0.897812i | \(-0.354844\pi\) |
−0.989955 | + | 0.141386i | \(0.954844\pi\) | |||||||
\(608\) | 0.407701 | − | 0.741606i | 0.0165345 | − | 0.0300761i | ||||
\(609\) | −5.57422 | + | 8.78357i | −0.225879 | + | 0.355928i | ||||
\(610\) | 5.16884 | − | 30.7081i | 0.209280 | − | 1.24334i | ||||
\(611\) | −1.72219 | − | 0.681863i | −0.0696723 | − | 0.0275852i | ||||
\(612\) | 0.329863 | + | 0.833140i | 0.0133339 | + | 0.0336777i | ||||
\(613\) | −5.32350 | + | 4.40399i | −0.215014 | + | 0.177875i | −0.738696 | − | 0.674039i | \(-0.764558\pi\) |
0.523682 | + | 0.851914i | \(0.324558\pi\) | |||||||
\(614\) | −28.2060 | + | 7.24208i | −1.13830 | + | 0.292266i | ||||
\(615\) | 14.0734 | + | 1.46789i | 0.567495 | + | 0.0591911i | ||||
\(616\) | −5.96929 | + | 2.36341i | −0.240509 | + | 0.0952244i | ||||
\(617\) | −6.75733 | − | 7.19582i | −0.272040 | − | 0.289693i | 0.578413 | − | 0.815744i | \(-0.303672\pi\) |
−0.850453 | + | 0.526051i | \(0.823672\pi\) | |||||||
\(618\) | 3.64384 | − | 5.01531i | 0.146577 | − | 0.201745i | ||||
\(619\) | −10.0951 | − | 21.4533i | −0.405758 | − | 0.862279i | −0.998385 | − | 0.0568027i | \(-0.981909\pi\) |
0.592628 | − | 0.805477i | \(-0.298091\pi\) | |||||||
\(620\) | 6.63795 | − | 17.8923i | 0.266586 | − | 0.718573i | ||||
\(621\) | 5.04464 | − | 2.77332i | 0.202435 | − | 0.111289i | ||||
\(622\) | −16.4352 | + | 3.13518i | −0.658990 | + | 0.125709i | ||||
\(623\) | −0.913735 | − | 3.55876i | −0.0366080 | − | 0.142579i | ||||
\(624\) | 0.313497 | 0.0125499 | ||||||||
\(625\) | 3.73052 | + | 24.7201i | 0.149221 | + | 0.988804i | ||||
\(626\) | −29.0031 | −1.15920 | ||||||||
\(627\) | −0.885625 | − | 3.44928i | −0.0353684 | − | 0.137751i | ||||
\(628\) | 4.76307 | − | 0.908604i | 0.190067 | − | 0.0362573i | ||||
\(629\) | 5.05887 | − | 2.78114i | 0.201710 | − | 0.110891i | ||||
\(630\) | −1.18664 | + | 3.19855i | −0.0472770 | + | 0.127433i | ||||
\(631\) | −12.4168 | − | 26.3870i | −0.494305 | − | 1.05045i | −0.983936 | − | 0.178521i | \(-0.942869\pi\) |
0.489631 | − | 0.871930i | \(-0.337131\pi\) | |||||||
\(632\) | 6.19848 | − | 8.53148i | 0.246562 | − | 0.339364i | ||||
\(633\) | 18.8256 | + | 20.0472i | 0.748249 | + | 0.796804i | ||||
\(634\) | 18.4383 | − | 7.30025i | 0.732280 | − | 0.289930i | ||||
\(635\) | 40.4658 | + | 4.22068i | 1.60584 | + | 0.167493i | ||||
\(636\) | 0.672723 | − | 0.172726i | 0.0266752 | − | 0.00684903i | ||||
\(637\) | 1.12860 | − | 0.933655i | 0.0447166 | − | 0.0369928i | ||||
\(638\) | 10.5623 | + | 26.6774i | 0.418167 | + | 1.05617i | ||||
\(639\) | −4.41600 | − | 1.74842i | −0.174694 | − | 0.0691664i | ||||
\(640\) | −0.371158 | + | 2.20505i | −0.0146713 | + | 0.0871622i | ||||
\(641\) | 25.1105 | − | 39.5678i | 0.991806 | − | 1.56284i | 0.176097 | − | 0.984373i | \(-0.443653\pi\) |
0.815709 | − | 0.578463i | \(-0.196347\pi\) | |||||||
\(642\) | −6.68599 | + | 12.1618i | −0.263875 | + | 0.479987i | ||||
\(643\) | −3.64778 | − | 5.02073i | −0.143854 | − | 0.197998i | 0.731010 | − | 0.682367i | \(-0.239049\pi\) |
−0.874864 | + | 0.484369i | \(0.839049\pi\) | |||||||
\(644\) | −1.64577 | + | 8.62745i | −0.0648526 | + | 0.339969i | ||||
\(645\) | −2.72780 | − | 18.3718i | −0.107407 | − | 0.723389i | ||||
\(646\) | 0.322880 | − | 0.686155i | 0.0127035 | − | 0.0269964i | ||||
\(647\) | 17.7368 | + | 32.2632i | 0.697307 | + | 1.26840i | 0.953390 | + | 0.301742i | \(0.0975682\pi\) |
−0.256082 | + | 0.966655i | \(0.582432\pi\) | |||||||
\(648\) | −0.998027 | − | 0.0627905i | −0.0392062 | − | 0.00246664i | ||||
\(649\) | 29.7586 | + | 21.6209i | 1.16813 | + | 0.848693i | ||||
\(650\) | −1.56219 | − | 0.128686i | −0.0612743 | − | 0.00504748i | ||||
\(651\) | −10.5344 | + | 7.65370i | −0.412876 | + | 0.299972i | ||||
\(652\) | −6.90423 | + | 4.38156i | −0.270390 | + | 0.171595i | ||||
\(653\) | 3.67930 | − | 29.1247i | 0.143982 | − | 1.13974i | −0.740131 | − | 0.672463i | \(-0.765236\pi\) |
0.884113 | − | 0.467273i | \(-0.154764\pi\) | |||||||
\(654\) | 16.9759 | + | 2.14456i | 0.663811 | + | 0.0838588i | ||||
\(655\) | 5.32463 | − | 0.451375i | 0.208051 | − | 0.0176367i | ||||
\(656\) | −5.54524 | − | 3.04852i | −0.216505 | − | 0.119025i | ||||
\(657\) | 3.47007 | + | 1.12749i | 0.135380 | + | 0.0439877i | ||||
\(658\) | −8.15650 | + | 3.83816i | −0.317973 | + | 0.149627i | ||||
\(659\) | −28.2459 | − | 7.25233i | −1.10031 | − | 0.282511i | −0.345474 | − | 0.938428i | \(-0.612282\pi\) |
−0.754832 | + | 0.655918i | \(0.772282\pi\) | |||||||
\(660\) | 5.21327 | + | 7.83311i | 0.202926 | + | 0.304904i | ||||
\(661\) | 26.2635 | − | 31.7471i | 1.02153 | − | 1.23482i | 0.0497941 | − | 0.998760i | \(-0.484143\pi\) |
0.971738 | − | 0.236061i | \(-0.0758565\pi\) | |||||||
\(662\) | 14.8097 | + | 9.39853i | 0.575596 | + | 0.365284i | ||||
\(663\) | 0.280359 | − | 0.0176387i | 0.0108883 | − | 0.000685031i | ||||
\(664\) | −6.33735 | − | 9.98607i | −0.245937 | − | 0.387535i | ||||
\(665\) | 2.66068 | − | 1.12093i | 0.103177 | − | 0.0434679i | ||||
\(666\) | 0.404531 | + | 6.42984i | 0.0156753 | + | 0.249151i | ||||
\(667\) | 38.5570 | + | 7.35514i | 1.49293 | + | 0.284792i | ||||
\(668\) | −5.99876 | + | 1.94912i | −0.232099 | + | 0.0754135i | ||||
\(669\) | −10.1830 | + | 9.56249i | −0.393698 | + | 0.369707i | ||||
\(670\) | 0.117926 | + | 5.42426i | 0.00455587 | + | 0.209557i | ||||
\(671\) | 10.9808 | + | 57.5636i | 0.423911 | + | 2.22222i | ||||
\(672\) | 1.04441 | − | 1.11219i | 0.0402892 | − | 0.0429036i | ||||
\(673\) | −13.3535 | + | 33.7272i | −0.514741 | + | 1.30009i | 0.407406 | + | 0.913247i | \(0.366433\pi\) |
−0.922147 | + | 0.386839i | \(0.873567\pi\) | |||||||
\(674\) | −3.46285 | − | 10.6576i | −0.133384 | − | 0.410514i | ||||
\(675\) | 4.94751 | + | 0.722568i | 0.190430 | + | 0.0278117i | ||||
\(676\) | −3.98685 | + | 12.2703i | −0.153340 | + | 0.471933i | ||||
\(677\) | 8.78215 | + | 7.26523i | 0.337526 | + | 0.279225i | 0.790709 | − | 0.612192i | \(-0.209712\pi\) |
−0.453184 | + | 0.891417i | \(0.649712\pi\) | |||||||
\(678\) | −7.35248 | − | 3.45982i | −0.282370 | − | 0.132873i | ||||
\(679\) | −11.5902 | − | 10.8839i | −0.444790 | − | 0.417686i | ||||
\(680\) | −0.207859 | + | 1.99285i | −0.00797104 | + | 0.0764223i | ||||
\(681\) | −19.9647 | + | 2.52213i | −0.765051 | + | 0.0966484i | ||||
\(682\) | 35.9135i | 1.37520i | ||||||||
\(683\) | −1.72927 | − | 13.6886i | −0.0661685 | − | 0.523778i | −0.990009 | − | 0.141001i | \(-0.954968\pi\) |
0.923841 | − | 0.382777i | \(-0.125032\pi\) | |||||||
\(684\) | 0.539443 | + | 0.652074i | 0.0206261 | + | 0.0249327i | ||||
\(685\) | 7.97797 | + | 22.8512i | 0.304823 | + | 0.873101i | ||||
\(686\) | 1.11820 | − | 17.7732i | 0.0426929 | − | 0.678584i | ||||
\(687\) | 1.04244 | − | 4.06004i | 0.0397716 | − | 0.154900i | ||||
\(688\) | −2.06567 | + | 8.04524i | −0.0787528 | + | 0.306722i | ||||
\(689\) | 0.0136718 | − | 0.217308i | 0.000520855 | − | 0.00827876i | ||||
\(690\) | 12.8694 | − | 0.279786i | 0.489928 | − | 0.0106513i | ||||
\(691\) | −29.2482 | − | 35.3550i | −1.11265 | − | 1.34497i | −0.932434 | − | 0.361340i | \(-0.882319\pi\) |
−0.180219 | − | 0.983627i | \(-0.557681\pi\) | |||||||
\(692\) | −0.162234 | − | 1.28422i | −0.00616722 | − | 0.0488186i | ||||
\(693\) | − | 6.42013i | − | 0.243881i | ||||||
\(694\) | 32.9616 | − | 4.16401i | 1.25120 | − | 0.158064i | ||||
\(695\) | −9.49033 | + | 10.5569i | −0.359989 | + | 0.400446i | ||||
\(696\) | −4.97049 | − | 4.66760i | −0.188406 | − | 0.176925i | ||||
\(697\) | −5.13061 | − | 2.41428i | −0.194336 | − | 0.0914475i | ||||
\(698\) | −1.99480 | − | 1.65024i | −0.0755044 | − | 0.0624626i | ||||
\(699\) | −8.14105 | + | 25.0556i | −0.307923 | + | 0.947689i | ||||
\(700\) | −5.66098 | + | 5.11345i | −0.213965 | + | 0.193270i | ||||
\(701\) | 10.5557 | + | 32.4872i | 0.398685 | + | 1.22703i | 0.926054 | + | 0.377390i | \(0.123178\pi\) |
−0.527369 | + | 0.849636i | \(0.676822\pi\) | |||||||
\(702\) | −0.115406 | + | 0.291482i | −0.00435572 | + | 0.0110013i | ||||
\(703\) | 3.73231 | − | 3.97451i | 0.140767 | − | 0.149902i | ||||
\(704\) | −0.788498 | − | 4.13345i | −0.0297177 | − | 0.155785i | ||||
\(705\) | 7.99603 | + | 10.5171i | 0.301148 | + | 0.396095i | ||||
\(706\) | −12.2168 | + | 11.4724i | −0.459786 | + | 0.431768i | ||||
\(707\) | 9.19304 | − | 2.98700i | 0.345740 | − | 0.112338i | ||||
\(708\) | −8.58654 | − | 1.63797i | −0.322702 | − | 0.0615587i | ||||
\(709\) | 1.77022 | + | 28.1369i | 0.0664822 | + | 1.05670i | 0.879941 | + | 0.475082i | \(0.157582\pi\) |
−0.813459 | + | 0.581622i | \(0.802418\pi\) | |||||||
\(710\) | −6.94588 | − | 8.03399i | −0.260674 | − | 0.301510i | ||||
\(711\) | 5.65055 | + | 8.90385i | 0.211912 | + | 0.333920i | ||||
\(712\) | 2.40345 | − | 0.151212i | 0.0900731 | − | 0.00566692i | ||||
\(713\) | 41.4829 | + | 26.3258i | 1.55355 | + | 0.985910i | ||||
\(714\) | 0.871439 | − | 1.05339i | 0.0326128 | − | 0.0394221i | ||||
\(715\) | 2.84051 | − | 0.795513i | 0.106229 | − | 0.0297505i | ||||
\(716\) | −4.62790 | − | 1.18824i | −0.172953 | − | 0.0444067i | ||||
\(717\) | 13.2572 | − | 6.23836i | 0.495099 | − | 0.232976i | ||||
\(718\) | −10.3958 | − | 3.37780i | −0.387968 | − | 0.126058i | ||||
\(719\) | 22.7298 | + | 12.4958i | 0.847677 | + | 0.466015i | 0.845495 | − | 0.533983i | \(-0.179305\pi\) |
0.00218210 | + | 0.999998i | \(0.499305\pi\) | |||||||
\(720\) | −1.91357 | − | 1.15683i | −0.0713146 | − | 0.0431124i | ||||
\(721\) | −9.38365 | − | 1.18543i | −0.349465 | − | 0.0441477i | ||||
\(722\) | −2.29157 | + | 18.1396i | −0.0852833 | + | 0.675087i | ||||
\(723\) | −4.33149 | + | 2.74885i | −0.161090 | + | 0.102231i | ||||
\(724\) | 9.17498 | − | 6.66601i | 0.340985 | − | 0.247740i | ||||
\(725\) | 22.8526 | + | 25.2995i | 0.848723 | + | 0.939601i | ||||
\(726\) | −5.42621 | − | 3.94237i | −0.201386 | − | 0.146315i | ||||
\(727\) | 36.4503 | + | 2.29326i | 1.35187 | + | 0.0850522i | 0.722130 | − | 0.691757i | \(-0.243163\pi\) |
0.629736 | + | 0.776809i | \(0.283163\pi\) | |||||||
\(728\) | −0.230424 | − | 0.419140i | −0.00854009 | − | 0.0155344i | ||||
\(729\) | 0.425779 | − | 0.904827i | 0.0157696 | − | 0.0335121i | ||||
\(730\) | 5.71291 | + | 5.82459i | 0.211444 | + | 0.215578i | ||||
\(731\) | −1.39466 | + | 7.31105i | −0.0515833 | + | 0.270409i | ||||
\(732\) | −8.18566 | − | 11.2666i | −0.302551 | − | 0.416425i | ||||
\(733\) | 9.06548 | − | 16.4900i | 0.334841 | − | 0.609074i | −0.654267 | − | 0.756264i | \(-0.727023\pi\) |
0.989108 | + | 0.147190i | \(0.0470228\pi\) | |||||||
\(734\) | 18.2096 | − | 28.6937i | 0.672128 | − | 1.05910i | ||||
\(735\) | −10.3341 | + | 1.53439i | −0.381181 | + | 0.0565968i | ||||
\(736\) | −5.35245 | − | 2.11919i | −0.197294 | − | 0.0781142i | ||||
\(737\) | −3.75861 | − | 9.49316i | −0.138450 | − | 0.349685i | ||||
\(738\) | 4.87578 | − | 4.03360i | 0.179480 | − | 0.148479i | ||||
\(739\) | 24.8325 | − | 6.37589i | 0.913477 | − | 0.234541i | 0.237434 | − | 0.971404i | \(-0.423694\pi\) |
0.676042 | + | 0.736863i | \(0.263694\pi\) | |||||||
\(740\) | −5.84900 | + | 13.1652i | −0.215014 | + | 0.483961i | ||||
\(741\) | 0.246677 | − | 0.0976664i | 0.00906191 | − | 0.00358787i | ||||
\(742\) | −0.725391 | − | 0.772463i | −0.0266299 | − | 0.0283580i | ||||
\(743\) | −18.3948 | + | 25.3183i | −0.674841 | + | 0.928839i | −0.999858 | − | 0.0168695i | \(-0.994630\pi\) |
0.325017 | + | 0.945708i | \(0.394630\pi\) | |||||||
\(744\) | −3.63386 | − | 7.72234i | −0.133224 | − | 0.283115i | ||||
\(745\) | 14.8122 | − | 9.85817i | 0.542679 | − | 0.361175i | ||||
\(746\) | 31.6432 | − | 17.3960i | 1.15854 | − | 0.636912i | ||||
\(747\) | 11.6177 | − | 2.21620i | 0.425071 | − | 0.0810866i | ||||
\(748\) | −0.937717 | − | 3.65217i | −0.0342863 | − | 0.133536i | ||||
\(749\) | 21.1744 | 0.773694 | ||||||||
\(750\) | 9.06070 | + | 6.55010i | 0.330850 | + | 0.239176i | ||||
\(751\) | −14.7583 | −0.538540 | −0.269270 | − | 0.963065i | \(-0.586782\pi\) | ||||
−0.269270 | + | 0.963065i | \(0.586782\pi\) | |||||||
\(752\) | −1.46936 | − | 5.72276i | −0.0535819 | − | 0.208688i | ||||
\(753\) | 4.28120 | − | 0.816683i | 0.156016 | − | 0.0297616i | ||||
\(754\) | −1.87318 | + | 1.02979i | −0.0682173 | + | 0.0375028i | ||||
\(755\) | −2.40326 | − | 8.58124i | −0.0874637 | − | 0.312303i | ||||
\(756\) | 0.649612 | + | 1.38050i | 0.0236262 | + | 0.0502081i | ||||
\(757\) | −0.0245816 | + | 0.0338336i | −0.000893433 | + | 0.00122970i | −0.809463 | − | 0.587170i | \(-0.800242\pi\) |
0.808570 | + | 0.588400i | \(0.200242\pi\) | |||||||
\(758\) | 15.0963 | + | 16.0759i | 0.548321 | + | 0.583902i | ||||
\(759\) | −22.5231 | + | 8.91751i | −0.817535 | + | 0.323685i | ||||
\(760\) | 0.394910 | + | 1.85069i | 0.0143249 | + | 0.0671315i | ||||
\(761\) | −21.9944 | + | 5.64719i | −0.797295 | + | 0.204711i | −0.625297 | − | 0.780387i | \(-0.715022\pi\) |
−0.171998 | + | 0.985097i | \(0.555022\pi\) | |||||||
\(762\) | 14.0195 | − | 11.5980i | 0.507874 | − | 0.420150i | ||||
\(763\) | −9.61027 | − | 24.2728i | −0.347915 | − | 0.878733i | ||||
\(764\) | −9.18182 | − | 3.63534i | −0.332187 | − | 0.131522i | ||||
\(765\) | −1.77639 | − | 0.926880i | −0.0642254 | − | 0.0335114i | ||||
\(766\) | 3.76936 | − | 5.93956i | 0.136193 | − | 0.214605i | ||||
\(767\) | −1.32020 | + | 2.40143i | −0.0476695 | + | 0.0867105i | ||||
\(768\) | 0.587785 | + | 0.809017i | 0.0212099 | + | 0.0291929i | ||||
\(769\) | 2.03062 | − | 10.6449i | 0.0732261 | − | 0.383865i | −0.926741 | − | 0.375702i | \(-0.877402\pi\) |
0.999967 | − | 0.00816292i | \(-0.00259837\pi\) | |||||||
\(770\) | 6.64092 | − | 12.7275i | 0.239322 | − | 0.458667i | ||||
\(771\) | −4.37564 | + | 9.29871i | −0.157585 | + | 0.334885i | ||||
\(772\) | −4.78214 | − | 8.69869i | −0.172113 | − | 0.313073i | ||||
\(773\) | −20.7240 | − | 1.30384i | −0.745391 | − | 0.0468960i | −0.314447 | − | 0.949275i | \(-0.601819\pi\) |
−0.430943 | + | 0.902379i | \(0.641819\pi\) | |||||||
\(774\) | −6.71985 | − | 4.88226i | −0.241540 | − | 0.175489i | ||||
\(775\) | 14.9380 | + | 39.9730i | 0.536591 | + | 1.43587i | ||||
\(776\) | 8.43082 | − | 6.12535i | 0.302649 | − | 0.219887i | ||||
\(777\) | 8.29924 | − | 5.26686i | 0.297734 | − | 0.188948i | ||||
\(778\) | 3.34269 | − | 26.4601i | 0.119841 | − | 0.948642i | ||||
\(779\) | −5.31304 | − | 0.671193i | −0.190359 | − | 0.0240480i | ||||
\(780\) | −0.530291 | + | 0.458469i | −0.0189874 | + | 0.0164158i | ||||
\(781\) | 17.5138 | + | 9.62831i | 0.626694 | + | 0.344528i | ||||
\(782\) | −4.90591 | − | 1.59403i | −0.175435 | − | 0.0570023i | ||||
\(783\) | 6.16959 | − | 2.90319i | 0.220483 | − | 0.103751i | ||||
\(784\) | 4.52545 | + | 1.16194i | 0.161623 | + | 0.0414978i | ||||
\(785\) | −6.72812 | + | 8.50262i | −0.240137 | + | 0.303471i | ||||
\(786\) | 1.52331 | − | 1.84136i | 0.0543346 | − | 0.0656793i | ||||
\(787\) | −1.31490 | − | 0.834461i | −0.0468711 | − | 0.0297453i | 0.512185 | − | 0.858875i | \(-0.328836\pi\) |
−0.559056 | + | 0.829130i | \(0.688836\pi\) | |||||||
\(788\) | 22.2788 | − | 1.40166i | 0.793650 | − | 0.0499322i | ||||
\(789\) | −9.10326 | − | 14.3444i | −0.324085 | − | 0.510676i | ||||
\(790\) | 1.99179 | + | 23.4962i | 0.0708649 | + | 0.835956i | ||||
\(791\) | 0.778452 | + | 12.3731i | 0.0276786 | + | 0.439938i | ||||
\(792\) | 4.13345 | + | 0.788498i | 0.146876 | + | 0.0280181i | ||||
\(793\) | −4.15217 | + | 1.34912i | −0.147448 | + | 0.0479087i | ||||
\(794\) | −13.9018 | + | 13.0547i | −0.493357 | + | 0.463293i | ||||
\(795\) | −0.885333 | + | 1.27599i | −0.0313995 | + | 0.0452545i | ||||
\(796\) | 1.88665 | + | 9.89015i | 0.0668704 | + | 0.350547i | ||||
\(797\) | −14.9439 | + | 15.9136i | −0.529339 | + | 0.563689i | −0.936948 | − | 0.349468i | \(-0.886362\pi\) |
0.407609 | + | 0.913156i | \(0.366362\pi\) | |||||||
\(798\) | 0.475315 | − | 1.20051i | 0.0168260 | − | 0.0424975i | ||||
\(799\) | −1.63603 | − | 5.03517i | −0.0578785 | − | 0.178132i | ||||
\(800\) | −2.59692 | − | 4.27271i | −0.0918148 | − | 0.151063i | ||||
\(801\) | −0.744175 | + | 2.29034i | −0.0262941 | + | 0.0809250i | ||||
\(802\) | 22.9332 | + | 18.9720i | 0.809800 | + | 0.669925i | ||||
\(803\) | −13.8922 | − | 6.53719i | −0.490246 | − | 0.230692i | ||||
\(804\) | 1.76875 | + | 1.66097i | 0.0623790 | + | 0.0585778i | ||||
\(805\) | −9.83320 | − | 17.0004i | −0.346575 | − | 0.599187i | ||||
\(806\) | −2.65448 | + | 0.335338i | −0.0934999 | + | 0.0118118i | ||||
\(807\) | 18.8630i | 0.664010i | ||||||||
\(808\) | 0.794053 | + | 6.28558i | 0.0279347 | + | 0.221126i | ||||
\(809\) | −17.5719 | − | 21.2408i | −0.617795 | − | 0.746786i | 0.365097 | − | 0.930970i | \(-0.381036\pi\) |
−0.982892 | + | 0.184183i | \(0.941036\pi\) | |||||||
\(810\) | 1.78002 | − | 1.35334i | 0.0625436 | − | 0.0475514i | ||||
\(811\) | 1.47491 | − | 23.4430i | 0.0517910 | − | 0.823194i | −0.883305 | − | 0.468799i | \(-0.844687\pi\) |
0.935096 | − | 0.354395i | \(-0.115313\pi\) | |||||||
\(812\) | −2.58713 | + | 10.0762i | −0.0907904 | + | 0.353605i | ||||
\(813\) | −0.992104 | + | 3.86399i | −0.0347946 | + | 0.135516i | ||||
\(814\) | 1.70226 | − | 27.0567i | 0.0596642 | − | 0.948336i | ||||
\(815\) | 5.27099 | − | 17.5085i | 0.184635 | − | 0.613297i | ||||
\(816\) | 0.571173 | + | 0.690430i | 0.0199951 | + | 0.0241699i | ||||
\(817\) | 0.881019 | + | 6.97398i | 0.0308230 | + | 0.243989i | ||||
\(818\) | − | 9.30839i | − | 0.325460i | ||||||
\(819\) | 0.474531 | − | 0.0599472i | 0.0165815 | − | 0.00209473i | ||||
\(820\) | 13.8382 | − | 2.95288i | 0.483252 | − | 0.103119i | ||||
\(821\) | 10.8085 | + | 10.1499i | 0.377220 | + | 0.354234i | 0.849847 | − | 0.527029i | \(-0.176694\pi\) |
−0.472627 | + | 0.881263i | \(0.656694\pi\) | |||||||
\(822\) | 9.79412 | + | 4.60876i | 0.341609 | + | 0.160749i | ||||
\(823\) | −19.7630 | − | 16.3493i | −0.688893 | − | 0.569902i | 0.225739 | − | 0.974188i | \(-0.427520\pi\) |
−0.914633 | + | 0.404286i | \(0.867520\pi\) | |||||||
\(824\) | 1.91568 | − | 5.89585i | 0.0667358 | − | 0.205392i | ||||
\(825\) | −20.2738 | − | 5.62591i | −0.705844 | − | 0.195869i | ||||
\(826\) | 4.12128 | + | 12.6840i | 0.143398 | + | 0.441332i | ||||
\(827\) | −13.0032 | + | 32.8422i | −0.452164 | + | 1.14204i | 0.507691 | + | 0.861539i | \(0.330499\pi\) |
−0.959855 | + | 0.280497i | \(0.909501\pi\) | |||||||
\(828\) | 3.94074 | − | 4.19646i | 0.136950 | − | 0.145837i | ||||
\(829\) | 0.548325 | + | 2.87442i | 0.0190441 | + | 0.0998327i | 0.990540 | − | 0.137223i | \(-0.0438177\pi\) |
−0.971496 | + | 0.237056i | \(0.923818\pi\) | |||||||
\(830\) | 25.3238 | + | 7.62380i | 0.879002 | + | 0.264626i | ||||
\(831\) | −7.40839 | + | 6.95694i | −0.256994 | + | 0.241334i | ||||
\(832\) | 0.298153 | − | 0.0968759i | 0.0103366 | − | 0.00335857i | ||||
\(833\) | 4.11247 | + | 0.784495i | 0.142489 | + | 0.0271812i | ||||
\(834\) | 0.398623 | + | 6.33593i | 0.0138032 | + | 0.219395i | ||||
\(835\) | 7.29665 | − | 12.0698i | 0.252511 | − | 0.417692i | ||||
\(836\) | −1.90817 | − | 3.00679i | −0.0659953 | − | 0.103992i | ||||
\(837\) | 8.51777 | − | 0.535892i | 0.294417 | − | 0.0185232i | ||||
\(838\) | −11.4460 | − | 7.26386i | −0.395396 | − | 0.250926i | ||||
\(839\) | 28.6026 | − | 34.5746i | 0.987470 | − | 1.19365i | 0.00640249 | − | 0.999980i | \(-0.497962\pi\) |
0.981067 | − | 0.193667i | \(-0.0620380\pi\) | |||||||
\(840\) | −0.140158 | + | 3.40869i | −0.00483593 | + | 0.117611i | ||||
\(841\) | 16.9427 | + | 4.35015i | 0.584232 | + | 0.150005i | ||||
\(842\) | 23.7028 | − | 11.1537i | 0.816853 | − | 0.384382i | ||||
\(843\) | 10.5514 | + | 3.42835i | 0.363408 | + | 0.118079i | ||||
\(844\) | 24.0991 | + | 13.2486i | 0.829525 | + | 0.456035i | ||||
\(845\) | −11.2006 | − | 26.5861i | −0.385311 | − | 0.914589i | ||||
\(846\) | 5.86179 | + | 0.740517i | 0.201533 | + | 0.0254595i | ||||
\(847\) | −1.28255 | + | 10.1524i | −0.0440690 | + | 0.348842i | ||||
\(848\) | 0.586422 | − | 0.372155i | 0.0201378 | − | 0.0127799i | ||||
\(849\) | −11.8408 | + | 8.60281i | −0.406374 | + | 0.295248i | ||||
\(850\) | −2.56281 | − | 3.67495i | −0.0879038 | − | 0.126050i | ||||
\(851\) | −30.0047 | − | 21.7997i | −1.02855 | − | 0.747284i | ||||
\(852\) | −4.74016 | − | 0.298225i | −0.162395 | − | 0.0102170i | ||||
\(853\) | −11.4914 | − | 20.9028i | −0.393459 | − | 0.715698i | 0.603182 | − | 0.797604i | \(-0.293899\pi\) |
−0.996640 | + | 0.0819055i | \(0.973899\pi\) | |||||||
\(854\) | −9.04667 | + | 19.2252i | −0.309571 | + | 0.657871i | ||||
\(855\) | −1.86610 | − | 0.314105i | −0.0638193 | − | 0.0107422i | ||||
\(856\) | −2.60056 | + | 13.6326i | −0.0888853 | + | 0.465953i | ||||
\(857\) | −7.08400 | − | 9.75029i | −0.241985 | − | 0.333064i | 0.670699 | − | 0.741730i | \(-0.265994\pi\) |
−0.912684 | + | 0.408666i | \(0.865994\pi\) | |||||||
\(858\) | 0.635526 | − | 1.15602i | 0.0216965 | − | 0.0394658i | ||||
\(859\) | −19.7246 | + | 31.0810i | −0.672995 | + | 1.06047i | 0.320572 | + | 0.947224i | \(0.396125\pi\) |
−0.993567 | + | 0.113246i | \(0.963875\pi\) | |||||||
\(860\) | −8.27149 | − | 16.6297i | −0.282056 | − | 0.567068i | ||||
\(861\) | −8.97661 | − | 3.55409i | −0.305922 | − | 0.121123i | ||||
\(862\) | −8.22641 | − | 20.7776i | −0.280193 | − | 0.707686i | ||||
\(863\) | −24.8244 | + | 20.5366i | −0.845034 | + | 0.699073i | −0.955559 | − | 0.294800i | \(-0.904747\pi\) |
0.110525 | + | 0.993873i | \(0.464747\pi\) | |||||||
\(864\) | −0.968583 | + | 0.248690i | −0.0329519 | + | 0.00846060i | ||||
\(865\) | 2.15251 | + | 1.93504i | 0.0731874 | + | 0.0657932i | ||||
\(866\) | 30.1720 | − | 11.9460i | 1.02529 | − | 0.405940i | ||||
\(867\) | −11.0877 | − | 11.8072i | −0.376557 | − | 0.400992i | ||||
\(868\) | −7.65370 | + | 10.5344i | −0.259784 | + | 0.357562i | ||||
\(869\) | −18.8941 | − | 40.1520i | −0.640938 | − | 1.36206i | ||||
\(870\) | 15.2338 | + | 0.626383i | 0.516475 | + | 0.0212364i | ||||
\(871\) | 0.666573 | − | 0.366451i | 0.0225860 | − | 0.0124167i | ||||
\(872\) | 16.8078 | − | 3.20625i | 0.569183 | − | 0.108577i | ||||
\(873\) | 2.59161 | + | 10.0937i | 0.0877128 | + | 0.341619i | ||||
\(874\) | −4.87182 | −0.164792 | ||||||||
\(875\) | 2.09765 | − | 16.9284i | 0.0709134 | − | 0.572284i | ||||
\(876\) | 3.64865 | 0.123276 | ||||||||
\(877\) | 6.47830 | + | 25.2313i | 0.218757 | + | 0.852000i | 0.979250 | + | 0.202655i | \(0.0649570\pi\) |
−0.760494 | + | 0.649345i | \(0.775043\pi\) | |||||||
\(878\) | 6.44268 | − | 1.22901i | 0.217430 | − | 0.0414770i | ||||
\(879\) | 12.9047 | − | 7.09441i | 0.435264 | − | 0.239288i | ||||
\(880\) | 7.37868 | + | 5.83875i | 0.248735 | + | 0.196824i | ||||
\(881\) | 19.0922 | + | 40.5729i | 0.643231 | + | 1.36694i | 0.914561 | + | 0.404449i | \(0.132537\pi\) |
−0.271330 | + | 0.962487i | \(0.587463\pi\) | |||||||
\(882\) | −2.74627 | + | 3.77992i | −0.0924718 | + | 0.127276i | ||||
\(883\) | 14.9852 | + | 15.9576i | 0.504291 | + | 0.537016i | 0.929862 | − | 0.367910i | \(-0.119926\pi\) |
−0.425570 | + | 0.904925i | \(0.639926\pi\) | |||||||
\(884\) | 0.261187 | − | 0.103411i | 0.00878466 | − | 0.00347809i | ||||
\(885\) | 16.9198 | − | 9.78658i | 0.568755 | − | 0.328972i | ||||
\(886\) | −0.725542 | + | 0.186288i | −0.0243751 | + | 0.00625845i | ||||
\(887\) | −40.8780 | + | 33.8173i | −1.37255 | + | 1.13547i | −0.396474 | + | 0.918046i | \(0.629766\pi\) |
−0.976077 | + | 0.217426i | \(0.930234\pi\) | |||||||
\(888\) | 2.37166 | + | 5.99013i | 0.0795877 | + | 0.201016i | ||||
\(889\) | −25.8108 | − | 10.2192i | −0.865666 | − | 0.342741i | ||||
\(890\) | −3.84438 | + | 3.77067i | −0.128864 | + | 0.126393i | ||||
\(891\) | −2.25475 | + | 3.55292i | −0.0755371 | + | 0.119027i | ||||
\(892\) | −6.72965 | + | 12.2412i | −0.225326 | + | 0.409866i | ||||
\(893\) | −2.93903 | − | 4.04523i | −0.0983510 | − | 0.135369i | ||||
\(894\) | 1.49103 | − | 7.81627i | 0.0498676 | − | 0.261415i | ||||
\(895\) | 9.56598 | − | 4.75805i | 0.319755 | − | 0.159044i | ||||
\(896\) | 0.649612 | − | 1.38050i | 0.0217020 | − | 0.0461191i | ||||
\(897\) | −0.869426 | − | 1.58148i | −0.0290293 | − | 0.0528041i | ||||
\(898\) | −19.7756 | − | 1.24417i | −0.659919 | − | 0.0415186i | ||||
\(899\) | 47.0795 | + | 34.2052i | 1.57019 | + | 1.14081i | ||||
\(900\) | 4.92865 | − | 0.841663i | 0.164288 | − | 0.0280554i | ||||
\(901\) | 0.503496 | − | 0.365811i | 0.0167739 | − | 0.0121869i | ||||
\(902\) | −22.4828 | + | 14.2680i | −0.748595 | + | 0.475073i | ||||
\(903\) | −1.58832 | + | 12.5728i | −0.0528559 | + | 0.418398i | ||||
\(904\) | −8.06177 | − | 1.01844i | −0.268130 | − | 0.0338728i | ||||
\(905\) | −5.77117 | + | 24.6936i | −0.191840 | + | 0.820842i | ||||
\(906\) | −3.49235 | − | 1.91994i | −0.116026 | − | 0.0637856i | ||||
\(907\) | 0.509400 | + | 0.165514i | 0.0169143 | + | 0.00549580i | 0.317462 | − | 0.948271i | \(-0.397169\pi\) |
−0.300548 | + | 0.953767i | \(0.597169\pi\) | |||||||
\(908\) | −18.2082 | + | 8.56814i | −0.604261 | + | 0.284344i | ||||
\(909\) | −6.13650 | − | 1.57558i | −0.203535 | − | 0.0522588i | ||||
\(910\) | 1.00273 | + | 0.372009i | 0.0332403 | + | 0.0123320i | ||||
\(911\) | −23.7242 | + | 28.6777i | −0.786019 | + | 0.950133i | −0.999641 | − | 0.0267830i | \(-0.991474\pi\) |
0.213623 | + | 0.976916i | \(0.431474\pi\) | |||||||
\(912\) | 0.714543 | + | 0.453463i | 0.0236609 | + | 0.0150156i | ||||
\(913\) | −49.6707 | + | 3.12501i | −1.64386 | + | 0.103423i | ||||
\(914\) | −14.0984 | − | 22.2156i | −0.466335 | − | 0.734826i | ||||
\(915\) | 30.3230 | + | 7.08682i | 1.00245 | + | 0.234283i | ||||
\(916\) | −0.263201 | − | 4.18346i | −0.00869640 | − | 0.138225i | ||||
\(917\) | −3.58152 | − | 0.683212i | −0.118272 | − | 0.0225616i | ||||
\(918\) | −0.852208 | + | 0.276899i | −0.0281271 | + | 0.00913903i | ||||
\(919\) | 42.8774 | − | 40.2646i | 1.41440 | − | 1.32821i | 0.541148 | − | 0.840927i | \(-0.317990\pi\) |
0.873247 | − | 0.487278i | \(-0.162010\pi\) | |||||||
\(920\) | 12.1530 | − | 4.24294i | 0.400673 | − | 0.139886i | ||||
\(921\) | −5.45671 | − | 28.6051i | −0.179805 | − | 0.942570i | ||||
\(922\) | 11.1597 | − | 11.8838i | 0.367524 | − | 0.391374i | ||||
\(923\) | −0.548124 | + | 1.38440i | −0.0180417 | + | 0.0455682i | ||||
\(924\) | −1.98393 | − | 6.10591i | −0.0652665 | − | 0.200870i | ||||
\(925\) | −9.35941 | − | 30.8231i | −0.307736 | − | 1.01346i | ||||
\(926\) | 2.18643 | − | 6.72914i | 0.0718506 | − | 0.221133i | ||||
\(927\) | 4.77662 | + | 3.95156i | 0.156885 | + | 0.129786i | ||||
\(928\) | −6.16959 | − | 2.90319i | −0.202527 | − | 0.0953018i | ||||
\(929\) | 1.25402 | + | 1.17760i | 0.0411431 | + | 0.0386359i | 0.704846 | − | 0.709360i | \(-0.251016\pi\) |
−0.663703 | + | 0.747996i | \(0.731016\pi\) | |||||||
\(930\) | 17.4402 | + | 7.74832i | 0.571887 | + | 0.254077i | ||||
\(931\) | 3.92287 | − | 0.495574i | 0.128567 | − | 0.0162418i | ||||
\(932\) | 26.3450i | 0.862959i | ||||||||
\(933\) | −2.09702 | − | 16.5996i | −0.0686532 | − | 0.543446i | ||||
\(934\) | −7.75994 | − | 9.38016i | −0.253913 | − | 0.306928i | ||||
\(935\) | 6.92724 | + | 4.80641i | 0.226545 | + | 0.157186i | ||||
\(936\) | −0.0196846 | + | 0.312878i | −0.000643413 | + | 0.0102268i | ||||
\(937\) | 4.45390 | − | 17.3468i | 0.145503 | − | 0.566695i | −0.853460 | − | 0.521158i | \(-0.825500\pi\) |
0.998963 | − | 0.0455370i | \(-0.0144999\pi\) | |||||||
\(938\) | 0.920631 | − | 3.58562i | 0.0300597 | − | 0.117075i | ||||
\(939\) | 1.82112 | − | 28.9459i | 0.0594301 | − | 0.944614i | ||||
\(940\) | 10.8546 | + | 7.53140i | 0.354039 | + | 0.245647i | ||||
\(941\) | −8.56202 | − | 10.3497i | −0.279114 | − | 0.337391i | 0.612263 | − | 0.790655i | \(-0.290260\pi\) |
−0.891376 | + | 0.453264i | \(0.850260\pi\) | |||||||
\(942\) | 0.607736 | + | 4.81072i | 0.0198011 | + | 0.156742i | ||||
\(943\) | 36.4283i | 1.18627i | ||||||||
\(944\) | −8.67245 | + | 1.09559i | −0.282264 | + | 0.0356583i | ||||
\(945\) | −3.11773 | − | 1.38514i | −0.101420 | − | 0.0450586i | ||||
\(946\) | 25.4792 | + | 23.9265i | 0.828399 | + | 0.777919i | ||||
\(947\) | 36.7761 | + | 17.3055i | 1.19506 | + | 0.562353i | 0.917261 | − | 0.398286i | \(-0.130395\pi\) |
0.277800 | + | 0.960639i | \(0.410395\pi\) | |||||||
\(948\) | 8.12544 | + | 6.72195i | 0.263902 | + | 0.218319i | ||||
\(949\) | 0.353466 | − | 1.08786i | 0.0114740 | − | 0.0353133i | ||||
\(950\) | −3.37451 | − | 2.55297i | −0.109484 | − | 0.0828293i | ||||
\(951\) | 6.12810 | + | 18.8603i | 0.198717 | + | 0.611588i | ||||
\(952\) | 0.503273 | − | 1.27112i | 0.0163112 | − | 0.0411973i | ||||
\(953\) | −24.2333 | + | 25.8059i | −0.784994 | + | 0.835934i | −0.989740 | − | 0.142882i | \(-0.954363\pi\) |
0.204746 | + | 0.978815i | \(0.434363\pi\) | |||||||
\(954\) | 0.130144 | + | 0.682241i | 0.00421358 | + | 0.0220884i | ||||
\(955\) | 20.8478 | − | 7.27852i | 0.674619 | − | 0.235527i | ||||
\(956\) | 10.6806 | − | 10.0297i | 0.345435 | − | 0.324385i | ||||
\(957\) | −27.2880 | + | 8.86640i | −0.882095 | + | 0.286610i | ||||
\(958\) | 8.66563 | + | 1.65306i | 0.279974 | + | 0.0534079i | ||||
\(959\) | −1.03696 | − | 16.4821i | −0.0334853 | − | 0.532233i | ||||
\(960\) | −2.17739 | − | 0.508881i | −0.0702751 | − | 0.0164241i | ||||
\(961\) | 22.4187 | + | 35.3263i | 0.723185 | + | 1.13956i | ||||
\(962\) | 2.01573 | − | 0.126819i | 0.0649899 | − | 0.00408882i | ||||
\(963\) | −11.7180 | − | 7.43644i | −0.377606 | − | 0.239636i | ||||
\(964\) | −3.27005 | + | 3.95281i | −0.105321 | + | 0.127312i | ||||
\(965\) | 20.8104 | + | 7.72054i | 0.669911 | + | 0.248533i | ||||
\(966\) | −8.50708 | − | 2.18425i | −0.273711 | − | 0.0702770i | ||||
\(967\) | −0.448335 | + | 0.210971i | −0.0144175 | + | 0.00678436i | −0.432975 | − | 0.901406i | \(-0.642536\pi\) |
0.418557 | + | 0.908191i | \(0.362536\pi\) | |||||||
\(968\) | −6.37889 | − | 2.07263i | −0.205025 | − | 0.0666168i | ||||
\(969\) | 0.664527 | + | 0.365327i | 0.0213477 | + | 0.0117360i | ||||
\(970\) | −5.30308 | + | 22.6907i | −0.170272 | + | 0.728556i | ||||
\(971\) | −28.4992 | − | 3.60029i | −0.914584 | − | 0.115539i | −0.346066 | − | 0.938210i | \(-0.612483\pi\) |
−0.568517 | + | 0.822671i | \(0.692483\pi\) | |||||||
\(972\) | 0.125333 | − | 0.992115i | 0.00402007 | − | 0.0318221i | ||||
\(973\) | 8.17803 | − | 5.18994i | 0.262176 | − | 0.166382i | ||||
\(974\) | 28.9207 | − | 21.0121i | 0.926679 | − | 0.673272i | ||||
\(975\) | 0.226523 | − | 1.55103i | 0.00725454 | − | 0.0496727i | ||||
\(976\) | −11.2666 | − | 8.18566i | −0.360635 | − | 0.262016i | ||||
\(977\) | −30.8831 | − | 1.94300i | −0.988037 | − | 0.0621620i | −0.439460 | − | 0.898262i | \(-0.644830\pi\) |
−0.548577 | + | 0.836100i | \(0.684830\pi\) | |||||||
\(978\) | −3.93939 | − | 7.16572i | −0.125968 | − | 0.229135i | ||||
\(979\) | 4.31471 | − | 9.16923i | 0.137899 | − | 0.293050i | ||||
\(980\) | −9.35421 | + | 4.65272i | −0.298809 | + | 0.148626i | ||||
\(981\) | −3.20625 | + | 16.8078i | −0.102368 | + | 0.536630i | ||||
\(982\) | −2.50989 | − | 3.45457i | −0.0800939 | − | 0.110240i | ||||
\(983\) | 17.5539 | − | 31.9304i | 0.559882 | − | 1.01842i | −0.433234 | − | 0.901281i | \(-0.642628\pi\) |
0.993115 | − | 0.117139i | \(-0.0373724\pi\) | |||||||
\(984\) | 3.39070 | − | 5.34288i | 0.108091 | − | 0.170325i | ||||
\(985\) | −35.6355 | + | 34.9523i | −1.13544 | + | 1.11367i | ||||
\(986\) | −5.68078 | − | 2.24918i | −0.180913 | − | 0.0716285i | ||||
\(987\) | −3.31843 | − | 8.38140i | −0.105627 | − | 0.266783i | ||||
\(988\) | 0.204423 | − | 0.169114i | 0.00650358 | − | 0.00538023i | ||||
\(989\) | 46.3141 | − | 11.8914i | 1.47270 | − | 0.378126i | ||||
\(990\) | −8.14500 | + | 4.71114i | −0.258865 | + | 0.149730i | ||||
\(991\) | 43.5884 | − | 17.2579i | 1.38463 | − | 0.548214i | 0.446589 | − | 0.894739i | \(-0.352638\pi\) |
0.938041 | + | 0.346525i | \(0.112638\pi\) | |||||||
\(992\) | −5.84234 | − | 6.22146i | −0.185494 | − | 0.197532i | ||||
\(993\) | −10.3099 | + | 14.1904i | −0.327175 | + | 0.450317i | ||||
\(994\) | 3.08535 | + | 6.55671i | 0.0978614 | + | 0.207966i | ||||
\(995\) | −17.6550 | − | 13.9704i | −0.559702 | − | 0.442892i | ||||
\(996\) | 10.3643 | − | 5.69782i | 0.328405 | − | 0.180542i | ||||
\(997\) | −3.37504 | + | 0.643824i | −0.106889 | + | 0.0203901i | −0.240548 | − | 0.970637i | \(-0.577327\pi\) |
0.133659 | + | 0.991027i | \(0.457327\pi\) | |||||||
\(998\) | −6.11342 | − | 23.8102i | −0.193517 | − | 0.753698i | ||||
\(999\) | −6.44255 | −0.203833 |
(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 | 750.2.o.b.229.12 | ✓ | 280 | |
125.119 | even | 50 | inner | 750.2.o.b.619.12 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
750.2.o.b.229.12 | ✓ | 280 | 1.1 | even | 1 | trivial | |
750.2.o.b.619.12 | yes | 280 | 125.119 | even | 50 | inner |