Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 214.8 | ||
Character | \(\chi\) | \(=\) | 225.214 |
Dual form | 225.2.u.a.184.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.66066 | + | 0.174542i | −1.17426 | + | 0.123420i | −0.671500 | − | 0.741004i | \(-0.734350\pi\) |
−0.502763 | + | 0.864424i | \(0.667683\pi\) | |||||||
\(3\) | −1.65808 | + | 0.500767i | −0.957293 | + | 0.289118i | ||||
\(4\) | 0.771027 | − | 0.163887i | 0.385514 | − | 0.0819434i | ||||
\(5\) | 1.94471 | + | 1.10368i | 0.869701 | + | 0.493579i | ||||
\(6\) | 2.66610 | − | 1.12101i | 1.08843 | − | 0.457650i | ||||
\(7\) | −0.907253 | − | 0.523803i | −0.342909 | − | 0.197979i | 0.318648 | − | 0.947873i | \(-0.396771\pi\) |
−0.661558 | + | 0.749894i | \(0.730104\pi\) | |||||||
\(8\) | 1.92435 | − | 0.625260i | 0.680361 | − | 0.221063i | ||||
\(9\) | 2.49846 | − | 1.66062i | 0.832822 | − | 0.553541i | ||||
\(10\) | −3.42214 | − | 1.49339i | −1.08218 | − | 0.472253i | ||||
\(11\) | 0.524279 | + | 4.98818i | 0.158076 | + | 1.50399i | 0.729865 | + | 0.683592i | \(0.239583\pi\) |
−0.571789 | + | 0.820401i | \(0.693750\pi\) | |||||||
\(12\) | −1.19636 | + | 0.657843i | −0.345358 | + | 0.189903i | ||||
\(13\) | −5.17530 | − | 0.543946i | −1.43537 | − | 0.150863i | −0.645322 | − | 0.763910i | \(-0.723277\pi\) |
−0.790046 | + | 0.613047i | \(0.789944\pi\) | |||||||
\(14\) | 1.59806 | + | 0.711504i | 0.427100 | + | 0.190157i | ||||
\(15\) | −3.77717 | − | 0.856137i | −0.975262 | − | 0.221054i | ||||
\(16\) | −4.52677 | + | 2.01545i | −1.13169 | + | 0.503862i | ||||
\(17\) | −2.45762 | + | 0.798530i | −0.596061 | + | 0.193672i | −0.591483 | − | 0.806318i | \(-0.701457\pi\) |
−0.00457814 | + | 0.999990i | \(0.501457\pi\) | |||||||
\(18\) | −3.85925 | + | 3.19382i | −0.909634 | + | 0.752790i | ||||
\(19\) | −0.420608 | − | 1.29450i | −0.0964942 | − | 0.296978i | 0.891146 | − | 0.453717i | \(-0.149902\pi\) |
−0.987640 | + | 0.156738i | \(0.949902\pi\) | |||||||
\(20\) | 1.68030 | + | 0.532251i | 0.375727 | + | 0.119015i | ||||
\(21\) | 1.76660 | + | 0.414185i | 0.385504 | + | 0.0903826i | ||||
\(22\) | −1.74130 | − | 8.19215i | −0.371246 | − | 1.74657i | ||||
\(23\) | −2.88655 | + | 6.48329i | −0.601887 | + | 1.35186i | 0.313616 | + | 0.949550i | \(0.398459\pi\) |
−0.915503 | + | 0.402310i | \(0.868207\pi\) | |||||||
\(24\) | −2.87762 | + | 2.00038i | −0.587392 | + | 0.408327i | ||||
\(25\) | 2.56380 | + | 4.29266i | 0.512760 | + | 0.858532i | ||||
\(26\) | 8.68934 | 1.70412 | ||||||||
\(27\) | −3.31107 | + | 4.00460i | −0.637216 | + | 0.770685i | ||||
\(28\) | −0.785361 | − | 0.255179i | −0.148419 | − | 0.0482244i | ||||
\(29\) | −2.86568 | − | 3.18266i | −0.532144 | − | 0.591006i | 0.415795 | − | 0.909459i | \(-0.363504\pi\) |
−0.947939 | + | 0.318453i | \(0.896837\pi\) | |||||||
\(30\) | 6.42203 | + | 0.762475i | 1.17250 | + | 0.139208i | ||||
\(31\) | −4.45370 | + | 4.94633i | −0.799908 | + | 0.888388i | −0.995736 | − | 0.0922506i | \(-0.970594\pi\) |
0.195828 | + | 0.980638i | \(0.437261\pi\) | |||||||
\(32\) | 3.66103 | − | 2.11370i | 0.647185 | − | 0.373652i | ||||
\(33\) | −3.36721 | − | 8.00826i | −0.586156 | − | 1.39406i | ||||
\(34\) | 3.94190 | − | 1.75504i | 0.676029 | − | 0.300988i | ||||
\(35\) | −1.18624 | − | 2.01996i | −0.200511 | − | 0.341435i | ||||
\(36\) | 1.65423 | − | 1.68985i | 0.275705 | − | 0.281642i | ||||
\(37\) | 1.74627 | − | 2.40354i | 0.287086 | − | 0.395140i | −0.640979 | − | 0.767558i | \(-0.721471\pi\) |
0.928065 | + | 0.372419i | \(0.121471\pi\) | |||||||
\(38\) | 0.924432 | + | 2.07631i | 0.149963 | + | 0.336822i | ||||
\(39\) | 8.85345 | − | 1.68971i | 1.41769 | − | 0.270570i | ||||
\(40\) | 4.43239 | + | 0.907911i | 0.700823 | + | 0.143553i | ||||
\(41\) | 0.295314 | − | 2.80972i | 0.0461202 | − | 0.438805i | −0.946959 | − | 0.321355i | \(-0.895862\pi\) |
0.993079 | − | 0.117449i | \(-0.0374717\pi\) | |||||||
\(42\) | −3.00602 | − | 0.379473i | −0.463838 | − | 0.0585540i | ||||
\(43\) | 0.434744 | + | 0.251000i | 0.0662979 | + | 0.0382771i | 0.532783 | − | 0.846252i | \(-0.321146\pi\) |
−0.466485 | + | 0.884529i | \(0.654480\pi\) | |||||||
\(44\) | 1.22173 | + | 3.76010i | 0.184183 | + | 0.566856i | ||||
\(45\) | 6.69158 | − | 0.471939i | 0.997522 | − | 0.0703525i | ||||
\(46\) | 3.66196 | − | 11.2704i | 0.539927 | − | 1.66172i | ||||
\(47\) | −4.17729 | + | 3.76125i | −0.609320 | + | 0.548634i | −0.914976 | − | 0.403508i | \(-0.867791\pi\) |
0.305656 | + | 0.952142i | \(0.401124\pi\) | |||||||
\(48\) | 6.49648 | − | 5.60863i | 0.937686 | − | 0.809536i | ||||
\(49\) | −2.95126 | − | 5.11173i | −0.421609 | − | 0.730248i | ||||
\(50\) | −5.00685 | − | 6.68115i | −0.708075 | − | 0.944857i | ||||
\(51\) | 3.67506 | − | 2.55472i | 0.514611 | − | 0.357733i | ||||
\(52\) | −4.07944 | + | 0.428766i | −0.565716 | + | 0.0594592i | ||||
\(53\) | 13.1345 | + | 4.26766i | 1.80416 | + | 0.586208i | 0.999967 | − | 0.00815559i | \(-0.00259603\pi\) |
0.804196 | + | 0.594364i | \(0.202596\pi\) | |||||||
\(54\) | 4.79959 | − | 7.22819i | 0.653141 | − | 0.983632i | ||||
\(55\) | −4.48576 | + | 10.2792i | −0.604860 | + | 1.38605i | ||||
\(56\) | −2.07339 | − | 0.440712i | −0.277068 | − | 0.0588926i | ||||
\(57\) | 1.34564 | + | 1.93576i | 0.178235 | + | 0.256397i | ||||
\(58\) | 5.31443 | + | 4.78514i | 0.697819 | + | 0.628319i | ||||
\(59\) | 0.192990 | − | 1.83618i | 0.0251252 | − | 0.239050i | −0.974751 | − | 0.223296i | \(-0.928318\pi\) |
0.999876 | − | 0.0157543i | \(-0.00501495\pi\) | |||||||
\(60\) | −3.05261 | − | 0.0410757i | −0.394090 | − | 0.00530284i | ||||
\(61\) | 1.13403 | + | 10.7896i | 0.145197 | + | 1.38146i | 0.788116 | + | 0.615526i | \(0.211057\pi\) |
−0.642919 | + | 0.765934i | \(0.722277\pi\) | |||||||
\(62\) | 6.53273 | − | 8.99153i | 0.829657 | − | 1.14193i | ||||
\(63\) | −3.13658 | + | 0.197903i | −0.395172 | + | 0.0249335i | ||||
\(64\) | 2.30683 | − | 1.67601i | 0.288354 | − | 0.209501i | ||||
\(65\) | −9.46411 | − | 6.76966i | −1.17388 | − | 0.839674i | ||||
\(66\) | 6.98957 | + | 12.7113i | 0.860356 | + | 1.56465i | ||||
\(67\) | 0.899874 | + | 0.810250i | 0.109937 | + | 0.0989878i | 0.722266 | − | 0.691615i | \(-0.243101\pi\) |
−0.612329 | + | 0.790603i | \(0.709767\pi\) | |||||||
\(68\) | −1.76402 | + | 1.01846i | −0.213919 | + | 0.123506i | ||||
\(69\) | 1.53951 | − | 12.1953i | 0.185335 | − | 1.46814i | ||||
\(70\) | 2.32250 | + | 3.14741i | 0.277592 | + | 0.376188i | ||||
\(71\) | −3.62243 | + | 11.1487i | −0.429904 | + | 1.32311i | 0.468316 | + | 0.883561i | \(0.344861\pi\) |
−0.898220 | + | 0.439547i | \(0.855139\pi\) | |||||||
\(72\) | 3.76960 | − | 4.75782i | 0.444252 | − | 0.560714i | ||||
\(73\) | 0.855883 | + | 1.17802i | 0.100174 | + | 0.137877i | 0.856161 | − | 0.516709i | \(-0.172843\pi\) |
−0.755988 | + | 0.654586i | \(0.772843\pi\) | |||||||
\(74\) | −2.48045 | + | 4.29626i | −0.288346 | + | 0.499430i | ||||
\(75\) | −6.40061 | − | 5.83371i | −0.739079 | − | 0.673619i | ||||
\(76\) | −0.536452 | − | 0.929162i | −0.0615352 | − | 0.106582i | ||||
\(77\) | 2.13717 | − | 4.80016i | 0.243553 | − | 0.547029i | ||||
\(78\) | −14.4076 | + | 4.35133i | −1.63134 | + | 0.492692i | ||||
\(79\) | −2.69159 | − | 2.98931i | −0.302827 | − | 0.336324i | 0.572455 | − | 0.819936i | \(-0.305991\pi\) |
−0.875282 | + | 0.483612i | \(0.839324\pi\) | |||||||
\(80\) | −11.0277 | − | 1.07662i | −1.23293 | − | 0.120370i | ||||
\(81\) | 3.48465 | − | 8.29802i | 0.387184 | − | 0.922003i | ||||
\(82\) | 4.71753i | 0.520964i | ||||||||
\(83\) | 0.159783 | − | 0.751720i | 0.0175385 | − | 0.0825120i | −0.968508 | − | 0.248983i | \(-0.919904\pi\) |
0.986046 | + | 0.166471i | \(0.0532371\pi\) | |||||||
\(84\) | 1.42998 | + | 0.0298251i | 0.156023 | + | 0.00325418i | ||||
\(85\) | −5.66068 | − | 1.15951i | −0.613987 | − | 0.125766i | ||||
\(86\) | −0.765772 | − | 0.340944i | −0.0825753 | − | 0.0367649i | ||||
\(87\) | 6.34531 | + | 3.84208i | 0.680289 | + | 0.411914i | ||||
\(88\) | 4.12781 | + | 9.27120i | 0.440026 | + | 0.988314i | ||||
\(89\) | −13.8694 | + | 10.0767i | −1.47015 | + | 1.06813i | −0.489582 | + | 0.871957i | \(0.662851\pi\) |
−0.980570 | + | 0.196170i | \(0.937149\pi\) | |||||||
\(90\) | −11.0301 | + | 1.95169i | −1.16267 | + | 0.205727i | ||||
\(91\) | 4.41038 | + | 3.20433i | 0.462334 | + | 0.335905i | ||||
\(92\) | −1.16308 | + | 5.47186i | −0.121259 | + | 0.570481i | ||||
\(93\) | 4.90763 | − | 10.4317i | 0.508898 | − | 1.08172i | ||||
\(94\) | 6.28055 | − | 6.97526i | 0.647790 | − | 0.719443i | ||||
\(95\) | 0.610746 | − | 2.98164i | 0.0626612 | − | 0.305910i | ||||
\(96\) | −5.01181 | + | 5.33800i | −0.511516 | + | 0.544808i | ||||
\(97\) | 11.0307 | − | 9.93212i | 1.12000 | − | 1.00845i | 0.120124 | − | 0.992759i | \(-0.461671\pi\) |
0.999877 | − | 0.0156948i | \(-0.00499602\pi\) | |||||||
\(98\) | 5.79325 | + | 7.97373i | 0.585207 | + | 0.805468i | ||||
\(99\) | 9.59338 | + | 11.5922i | 0.964171 | + | 1.16506i | ||||
\(100\) | 2.68027 | + | 2.88958i | 0.268027 | + | 0.288958i | ||||
\(101\) | 2.50555 | − | 4.33974i | 0.249311 | − | 0.431820i | −0.714023 | − | 0.700122i | \(-0.753129\pi\) |
0.963335 | + | 0.268302i | \(0.0864624\pi\) | |||||||
\(102\) | −5.65711 | + | 4.88398i | −0.560138 | + | 0.483586i | ||||
\(103\) | −1.18993 | − | 5.59819i | −0.117248 | − | 0.551606i | −0.997083 | − | 0.0763276i | \(-0.975681\pi\) |
0.879835 | − | 0.475279i | \(-0.157653\pi\) | |||||||
\(104\) | −10.2992 | + | 2.18916i | −1.00992 | + | 0.214665i | ||||
\(105\) | 2.97840 | + | 2.75523i | 0.290663 | + | 0.268883i | ||||
\(106\) | −22.5568 | − | 4.79460i | −2.19091 | − | 0.465693i | ||||
\(107\) | − | 3.87723i | − | 0.374826i | −0.982281 | − | 0.187413i | \(-0.939990\pi\) | ||
0.982281 | − | 0.187413i | \(-0.0600103\pi\) | |||||||
\(108\) | −1.89662 | + | 3.63029i | −0.182503 | + | 0.349325i | ||||
\(109\) | 7.06738 | + | 5.13475i | 0.676932 | + | 0.491820i | 0.872339 | − | 0.488902i | \(-0.162603\pi\) |
−0.195406 | + | 0.980722i | \(0.562603\pi\) | |||||||
\(110\) | 5.65516 | − | 17.8532i | 0.539199 | − | 1.70224i | ||||
\(111\) | −1.69185 | + | 4.85974i | −0.160583 | + | 0.461266i | ||||
\(112\) | 5.16262 | + | 0.542613i | 0.487822 | + | 0.0512721i | ||||
\(113\) | 0.731761 | + | 0.0769112i | 0.0688383 | + | 0.00723520i | 0.138885 | − | 0.990309i | \(-0.455648\pi\) |
−0.0700467 | + | 0.997544i | \(0.522315\pi\) | |||||||
\(114\) | −2.57253 | − | 2.97976i | −0.240939 | − | 0.279080i | ||||
\(115\) | −12.7690 | + | 9.42232i | −1.19071 | + | 0.878636i | ||||
\(116\) | −2.73112 | − | 1.98427i | −0.253578 | − | 0.184235i | ||||
\(117\) | −13.8336 | + | 7.23519i | −1.27892 | + | 0.668894i | ||||
\(118\) | 3.08295i | 0.283809i | ||||||||
\(119\) | 2.64796 | + | 0.562841i | 0.242738 | + | 0.0515955i | ||||
\(120\) | −7.80392 | + | 0.714206i | −0.712397 | + | 0.0651978i | ||||
\(121\) | −13.8474 | + | 2.94336i | −1.25886 | + | 0.267578i | ||||
\(122\) | −3.76647 | − | 17.7198i | −0.341000 | − | 1.60428i | ||||
\(123\) | 0.917361 | + | 4.80663i | 0.0827157 | + | 0.433399i | ||||
\(124\) | −2.62328 | + | 4.54366i | −0.235578 | + | 0.408033i | ||||
\(125\) | 0.248146 | + | 11.1776i | 0.0221949 | + | 0.999754i | ||||
\(126\) | 5.17425 | − | 0.876116i | 0.460959 | − | 0.0780506i | ||||
\(127\) | −0.300994 | − | 0.414283i | −0.0267089 | − | 0.0367616i | 0.795454 | − | 0.606014i | \(-0.207233\pi\) |
−0.822163 | + | 0.569253i | \(0.807233\pi\) | |||||||
\(128\) | −9.82145 | + | 8.84328i | −0.868102 | + | 0.781643i | ||||
\(129\) | −0.846534 | − | 0.198472i | −0.0745331 | − | 0.0174745i | ||||
\(130\) | 16.8983 | + | 9.59021i | 1.48208 | + | 0.841117i | ||||
\(131\) | 14.2428 | − | 15.8182i | 1.24440 | − | 1.38205i | 0.348794 | − | 0.937199i | \(-0.386591\pi\) |
0.895606 | − | 0.444847i | \(-0.146742\pi\) | |||||||
\(132\) | −3.90866 | − | 5.62275i | −0.340205 | − | 0.489397i | ||||
\(133\) | −0.296464 | + | 1.39475i | −0.0257067 | + | 0.120941i | ||||
\(134\) | −1.63581 | − | 1.18848i | −0.141312 | − | 0.102669i | ||||
\(135\) | −10.8589 | + | 4.13344i | −0.934581 | + | 0.355750i | ||||
\(136\) | −4.23004 | + | 3.07331i | −0.362723 | + | 0.263534i | ||||
\(137\) | 8.53520 | + | 19.1704i | 0.729211 | + | 1.63783i | 0.769500 | + | 0.638647i | \(0.220505\pi\) |
−0.0402891 | + | 0.999188i | \(0.512828\pi\) | |||||||
\(138\) | −0.428006 | + | 20.5210i | −0.0364343 | + | 1.74686i | ||||
\(139\) | 6.12389 | + | 2.72653i | 0.519421 | + | 0.231261i | 0.649665 | − | 0.760221i | \(-0.274909\pi\) |
−0.130243 | + | 0.991482i | \(0.541576\pi\) | |||||||
\(140\) | −1.24567 | − | 1.36303i | −0.105278 | − | 0.115197i | ||||
\(141\) | 5.04277 | − | 8.32830i | 0.424678 | − | 0.701369i | ||||
\(142\) | 4.06971 | − | 19.1465i | 0.341522 | − | 1.60674i | ||||
\(143\) | − | 26.1005i | − | 2.18263i | ||||||
\(144\) | −7.96307 | + | 12.5528i | −0.663589 | + | 1.04607i | ||||
\(145\) | −2.06030 | − | 9.35215i | −0.171098 | − | 0.776654i | ||||
\(146\) | −1.62694 | − | 1.80690i | −0.134647 | − | 0.149540i | ||||
\(147\) | 7.45322 | + | 6.99778i | 0.614731 | + | 0.577167i | ||||
\(148\) | 0.952516 | − | 2.13939i | 0.0782963 | − | 0.175856i | ||||
\(149\) | 3.63650 | + | 6.29859i | 0.297913 | + | 0.516001i | 0.975658 | − | 0.219296i | \(-0.0703760\pi\) |
−0.677745 | + | 0.735297i | \(0.737043\pi\) | |||||||
\(150\) | 11.6475 | + | 8.57063i | 0.951011 | + | 0.699789i | ||||
\(151\) | 7.32816 | − | 12.6927i | 0.596357 | − | 1.03292i | −0.396997 | − | 0.917820i | \(-0.629948\pi\) |
0.993354 | − | 0.115101i | \(-0.0367190\pi\) | |||||||
\(152\) | −1.61880 | − | 2.22808i | −0.131302 | − | 0.180721i | ||||
\(153\) | −4.81423 | + | 6.07629i | −0.389207 | + | 0.491239i | ||||
\(154\) | −2.71128 | + | 8.34445i | −0.218481 | + | 0.672415i | ||||
\(155\) | −14.1203 | + | 4.70375i | −1.13417 | + | 0.377814i | ||||
\(156\) | 6.54933 | − | 2.75378i | 0.524366 | − | 0.220479i | ||||
\(157\) | −3.03470 | + | 1.75208i | −0.242195 | + | 0.139831i | −0.616185 | − | 0.787601i | \(-0.711323\pi\) |
0.373990 | + | 0.927433i | \(0.377989\pi\) | |||||||
\(158\) | 4.99157 | + | 4.49443i | 0.397108 | + | 0.357558i | ||||
\(159\) | −23.9152 | − | 0.498799i | −1.89660 | − | 0.0395573i | ||||
\(160\) | 9.45248 | − | 0.0699392i | 0.747284 | − | 0.00552918i | ||||
\(161\) | 6.01480 | − | 4.37001i | 0.474032 | − | 0.344405i | ||||
\(162\) | −4.33847 | + | 14.3884i | −0.340862 | + | 1.13046i | ||||
\(163\) | 6.16308 | − | 8.48275i | 0.482729 | − | 0.664420i | −0.496297 | − | 0.868153i | \(-0.665307\pi\) |
0.979027 | + | 0.203733i | \(0.0653073\pi\) | |||||||
\(164\) | −0.232782 | − | 2.21477i | −0.0181772 | − | 0.172944i | ||||
\(165\) | 2.29027 | − | 19.2901i | 0.178297 | − | 1.50173i | ||||
\(166\) | −0.134138 | + | 1.27624i | −0.0104111 | + | 0.0990554i | ||||
\(167\) | 4.20294 | + | 3.78434i | 0.325233 | + | 0.292841i | 0.815531 | − | 0.578714i | \(-0.196445\pi\) |
−0.490298 | + | 0.871555i | \(0.663112\pi\) | |||||||
\(168\) | 3.65854 | − | 0.307548i | 0.282262 | − | 0.0237278i | ||||
\(169\) | 13.7719 | + | 2.92731i | 1.05938 | + | 0.225177i | ||||
\(170\) | 9.60285 | + | 0.937519i | 0.736505 | + | 0.0719044i | ||||
\(171\) | −3.20055 | − | 2.53579i | −0.244752 | − | 0.193917i | ||||
\(172\) | 0.376335 | + | 0.122279i | 0.0286953 | + | 0.00932367i | ||||
\(173\) | 19.0067 | − | 1.99769i | 1.44505 | − | 0.151881i | 0.650699 | − | 0.759335i | \(-0.274476\pi\) |
0.794355 | + | 0.607454i | \(0.207809\pi\) | |||||||
\(174\) | −11.2080 | − | 5.27285i | −0.849676 | − | 0.399734i | ||||
\(175\) | −0.0775084 | − | 5.23746i | −0.00585909 | − | 0.395914i | ||||
\(176\) | −12.4267 | − | 21.5237i | −0.936697 | − | 1.62241i | ||||
\(177\) | 0.599504 | + | 3.14118i | 0.0450615 | + | 0.236105i | ||||
\(178\) | 21.2735 | − | 19.1547i | 1.59452 | − | 1.43571i | ||||
\(179\) | 2.78128 | − | 8.55989i | 0.207882 | − | 0.639796i | −0.791700 | − | 0.610910i | \(-0.790804\pi\) |
0.999583 | − | 0.0288866i | \(-0.00919617\pi\) | |||||||
\(180\) | 5.08205 | − | 1.46054i | 0.378793 | − | 0.108862i | ||||
\(181\) | −4.32538 | − | 13.3122i | −0.321503 | − | 0.989485i | −0.972994 | − | 0.230829i | \(-0.925856\pi\) |
0.651491 | − | 0.758656i | \(-0.274144\pi\) | |||||||
\(182\) | −7.88343 | − | 4.55150i | −0.584359 | − | 0.337380i | ||||
\(183\) | −7.28336 | − | 17.3221i | −0.538401 | − | 1.28048i | ||||
\(184\) | −1.50099 | + | 14.2810i | −0.110655 | + | 1.05281i | ||||
\(185\) | 6.04873 | − | 2.74687i | 0.444711 | − | 0.201954i | ||||
\(186\) | −6.32913 | + | 18.1801i | −0.464075 | + | 1.33303i | ||||
\(187\) | −5.27169 | − | 11.8404i | −0.385504 | − | 0.865856i | ||||
\(188\) | −2.60438 | + | 3.58463i | −0.189944 | + | 0.261436i | ||||
\(189\) | 5.10160 | − | 1.89884i | 0.371087 | − | 0.138120i | ||||
\(190\) | −0.493818 | + | 5.05809i | −0.0358253 | + | 0.366952i | ||||
\(191\) | −0.171604 | + | 0.0764029i | −0.0124168 | + | 0.00552832i | −0.412936 | − | 0.910760i | \(-0.635497\pi\) |
0.400519 | + | 0.916289i | \(0.368830\pi\) | |||||||
\(192\) | −2.98562 | + | 3.93414i | −0.215469 | + | 0.283922i | ||||
\(193\) | −13.0903 | + | 7.55766i | −0.942257 | + | 0.544012i | −0.890667 | − | 0.454656i | \(-0.849762\pi\) |
−0.0515900 | + | 0.998668i | \(0.516429\pi\) | |||||||
\(194\) | −16.5847 | + | 18.4192i | −1.19071 | + | 1.32242i | ||||
\(195\) | 19.0823 | + | 6.48534i | 1.36651 | + | 0.464425i | ||||
\(196\) | −3.11325 | − | 3.45761i | −0.222375 | − | 0.246972i | ||||
\(197\) | 15.0743 | + | 4.89794i | 1.07400 | + | 0.348964i | 0.792044 | − | 0.610463i | \(-0.209017\pi\) |
0.281956 | + | 0.959427i | \(0.409017\pi\) | |||||||
\(198\) | −17.9547 | − | 17.5762i | −1.27598 | − | 1.24908i | ||||
\(199\) | 6.78266 | 0.480810 | 0.240405 | − | 0.970673i | \(-0.422720\pi\) | ||||
0.240405 | + | 0.970673i | \(0.422720\pi\) | |||||||
\(200\) | 7.61768 | + | 6.65755i | 0.538652 | + | 0.470760i | ||||
\(201\) | −1.89781 | − | 0.892833i | −0.133861 | − | 0.0629756i | ||||
\(202\) | −3.40339 | + | 7.64415i | −0.239462 | + | 0.537840i | ||||
\(203\) | 0.932812 | + | 4.38854i | 0.0654706 | + | 0.308015i | ||||
\(204\) | 2.41488 | − | 2.57205i | 0.169076 | − | 0.180080i | ||||
\(205\) | 3.67532 | − | 5.13816i | 0.256695 | − | 0.358865i | ||||
\(206\) | 2.95319 | + | 9.08899i | 0.205759 | + | 0.633260i | ||||
\(207\) | 3.55437 | + | 20.9918i | 0.247046 | + | 1.45903i | ||||
\(208\) | 24.5236 | − | 7.96822i | 1.70041 | − | 0.552496i | ||||
\(209\) | 6.23668 | − | 2.77675i | 0.431400 | − | 0.192072i | ||||
\(210\) | −5.42702 | − | 4.05563i | −0.374500 | − | 0.279865i | ||||
\(211\) | 2.65847 | + | 1.18363i | 0.183017 | + | 0.0814843i | 0.496199 | − | 0.868209i | \(-0.334729\pi\) |
−0.313183 | + | 0.949693i | \(0.601395\pi\) | |||||||
\(212\) | 10.8265 | + | 1.13791i | 0.743565 | + | 0.0781518i | ||||
\(213\) | 0.423386 | − | 20.2995i | 0.0290099 | − | 1.39090i | ||||
\(214\) | 0.676741 | + | 6.43876i | 0.0462610 | + | 0.440144i | ||||
\(215\) | 0.568430 | + | 0.967939i | 0.0387666 | + | 0.0660129i | ||||
\(216\) | −3.86775 | + | 9.77654i | −0.263167 | + | 0.665209i | ||||
\(217\) | 6.63154 | − | 2.15472i | 0.450178 | − | 0.146272i | ||||
\(218\) | −12.6327 | − | 7.29351i | −0.855597 | − | 0.493979i | ||||
\(219\) | −2.00904 | − | 1.52466i | −0.135758 | − | 0.103027i | ||||
\(220\) | −1.77402 | + | 8.66070i | −0.119604 | + | 0.583904i | ||||
\(221\) | 13.1533 | − | 2.79582i | 0.884785 | − | 0.188067i | ||||
\(222\) | 1.96136 | − | 8.36567i | 0.131638 | − | 0.561467i | ||||
\(223\) | 8.79958 | − | 0.924873i | 0.589264 | − | 0.0619341i | 0.194796 | − | 0.980844i | \(-0.437596\pi\) |
0.394468 | + | 0.918910i | \(0.370929\pi\) | |||||||
\(224\) | −4.42864 | −0.295901 | ||||||||
\(225\) | 13.5341 | + | 6.46755i | 0.902271 | + | 0.431170i | ||||
\(226\) | −1.22863 | −0.0817272 | ||||||||
\(227\) | −9.38312 | + | 0.986206i | −0.622780 | + | 0.0654568i | −0.410662 | − | 0.911787i | \(-0.634703\pi\) |
−0.212117 | + | 0.977244i | \(0.568036\pi\) | |||||||
\(228\) | 1.35477 | + | 1.27199i | 0.0897221 | + | 0.0842395i | ||||
\(229\) | 3.49092 | − | 0.742018i | 0.230687 | − | 0.0490339i | −0.0911178 | − | 0.995840i | \(-0.529044\pi\) |
0.321804 | + | 0.946806i | \(0.395711\pi\) | |||||||
\(230\) | 19.5603 | − | 17.8760i | 1.28977 | − | 1.17871i | ||||
\(231\) | −1.13984 | + | 9.02928i | −0.0749958 | + | 0.594083i | ||||
\(232\) | −7.50458 | − | 4.33277i | −0.492700 | − | 0.284460i | ||||
\(233\) | −14.1133 | + | 4.58568i | −0.924591 | + | 0.300418i | −0.732349 | − | 0.680930i | \(-0.761576\pi\) |
−0.192242 | + | 0.981348i | \(0.561576\pi\) | |||||||
\(234\) | 21.7100 | − | 14.4297i | 1.41923 | − | 0.943301i | ||||
\(235\) | −12.2748 | + | 2.70417i | −0.800720 | + | 0.176400i | ||||
\(236\) | −0.152125 | − | 1.44737i | −0.00990249 | − | 0.0942159i | ||||
\(237\) | 5.95982 | + | 3.60866i | 0.387132 | + | 0.234408i | ||||
\(238\) | −4.49559 | − | 0.472506i | −0.291406 | − | 0.0306280i | ||||
\(239\) | −13.7953 | − | 6.14204i | −0.892341 | − | 0.397296i | −0.0912427 | − | 0.995829i | \(-0.529084\pi\) |
−0.801098 | + | 0.598533i | \(0.795751\pi\) | |||||||
\(240\) | 18.8239 | − | 3.73716i | 1.21508 | − | 0.241232i | ||||
\(241\) | 0.0408175 | − | 0.0181731i | 0.00262928 | − | 0.00117063i | −0.405422 | − | 0.914130i | \(-0.632875\pi\) |
0.408051 | + | 0.912959i | \(0.366209\pi\) | |||||||
\(242\) | 22.4821 | − | 7.30488i | 1.44521 | − | 0.469576i | ||||
\(243\) | −1.62246 | + | 15.5038i | −0.104081 | + | 0.994569i | ||||
\(244\) | 2.64263 | + | 8.13318i | 0.169177 | + | 0.520674i | ||||
\(245\) | −0.0976530 | − | 13.1981i | −0.00623882 | − | 0.843194i | ||||
\(246\) | −2.36238 | − | 7.82205i | −0.150620 | − | 0.498716i | ||||
\(247\) | 1.47264 | + | 6.92820i | 0.0937015 | + | 0.440831i | ||||
\(248\) | −5.47774 | + | 12.3032i | −0.347837 | + | 0.781254i | ||||
\(249\) | 0.111503 | + | 1.32643i | 0.00706624 | + | 0.0840589i | ||||
\(250\) | −2.36305 | − | 18.5188i | −0.149452 | − | 1.17123i | ||||
\(251\) | −15.5334 | −0.980459 | −0.490229 | − | 0.871593i | \(-0.663087\pi\) | ||||
−0.490229 | + | 0.871593i | \(0.663087\pi\) | |||||||
\(252\) | −2.38595 | + | 0.666633i | −0.150301 | + | 0.0419939i | ||||
\(253\) | −33.8532 | − | 10.9996i | −2.12833 | − | 0.691537i | ||||
\(254\) | 0.572158 | + | 0.635446i | 0.0359004 | + | 0.0398714i | ||||
\(255\) | 9.96651 | − | 0.912124i | 0.624127 | − | 0.0571194i | ||||
\(256\) | 10.9506 | − | 12.1619i | 0.684415 | − | 0.760120i | ||||
\(257\) | −11.2520 | + | 6.49635i | −0.701881 | + | 0.405231i | −0.808048 | − | 0.589117i | \(-0.799476\pi\) |
0.106167 | + | 0.994348i | \(0.466142\pi\) | |||||||
\(258\) | 1.44045 | + | 0.181839i | 0.0896782 | + | 0.0113208i | ||||
\(259\) | −2.84329 | + | 1.26592i | −0.176674 | + | 0.0786602i | ||||
\(260\) | −8.40655 | − | 3.66855i | −0.521352 | − | 0.227514i | ||||
\(261\) | −12.4450 | − | 3.19295i | −0.770327 | − | 0.197639i | ||||
\(262\) | −20.8915 | + | 28.7547i | −1.29068 | + | 1.77647i | ||||
\(263\) | 9.60965 | + | 21.5836i | 0.592556 | + | 1.33090i | 0.922169 | + | 0.386787i | \(0.126415\pi\) |
−0.329613 | + | 0.944116i | \(0.606918\pi\) | |||||||
\(264\) | −11.4869 | − | 13.3053i | −0.706973 | − | 0.818887i | ||||
\(265\) | 20.8327 | + | 22.7956i | 1.27974 | + | 1.40032i | ||||
\(266\) | 0.248882 | − | 2.36796i | 0.0152599 | − | 0.145189i | ||||
\(267\) | 17.9505 | − | 23.6533i | 1.09855 | − | 1.44756i | ||||
\(268\) | 0.826617 | + | 0.477247i | 0.0504936 | + | 0.0291525i | ||||
\(269\) | 3.33752 | + | 10.2718i | 0.203492 | + | 0.626284i | 0.999772 | + | 0.0213557i | \(0.00679826\pi\) |
−0.796280 | + | 0.604928i | \(0.793202\pi\) | |||||||
\(270\) | 17.3114 | − | 8.75956i | 1.05354 | − | 0.533090i | ||||
\(271\) | −4.28992 | + | 13.2030i | −0.260594 | + | 0.802026i | 0.732082 | + | 0.681217i | \(0.238549\pi\) |
−0.992676 | + | 0.120809i | \(0.961451\pi\) | |||||||
\(272\) | 9.51569 | − | 8.56797i | 0.576973 | − | 0.519509i | ||||
\(273\) | −8.91740 | − | 3.10447i | −0.539705 | − | 0.187891i | ||||
\(274\) | −17.5201 | − | 30.3457i | −1.05843 | − | 1.83325i | ||||
\(275\) | −20.0684 | + | 15.0392i | −1.21017 | + | 0.906901i | ||||
\(276\) | −0.811646 | − | 9.65522i | −0.0488554 | − | 0.581176i | ||||
\(277\) | −32.5709 | + | 3.42334i | −1.95700 | + | 0.205689i | −0.997187 | − | 0.0749595i | \(-0.976117\pi\) |
−0.959811 | + | 0.280648i | \(0.909451\pi\) | |||||||
\(278\) | −10.6456 | − | 3.45896i | −0.638480 | − | 0.207455i | ||||
\(279\) | −2.91341 | + | 19.7542i | −0.174421 | + | 1.18265i | ||||
\(280\) | −3.54574 | − | 3.14541i | −0.211898 | − | 0.187974i | ||||
\(281\) | −10.0529 | − | 2.13681i | −0.599706 | − | 0.127471i | −0.101952 | − | 0.994789i | \(-0.532509\pi\) |
−0.497755 | + | 0.867318i | \(0.665842\pi\) | |||||||
\(282\) | −6.92068 | + | 14.7106i | −0.412121 | + | 0.876006i | ||||
\(283\) | 2.92241 | + | 2.63135i | 0.173719 | + | 0.156418i | 0.751404 | − | 0.659842i | \(-0.229377\pi\) |
−0.577685 | + | 0.816260i | \(0.696044\pi\) | |||||||
\(284\) | −0.965868 | + | 9.18962i | −0.0573137 | + | 0.545304i | ||||
\(285\) | 0.480442 | + | 5.24964i | 0.0284589 | + | 0.310962i | ||||
\(286\) | 4.55564 | + | 43.3440i | 0.269380 | + | 2.56298i | ||||
\(287\) | −1.73966 | + | 2.39444i | −0.102689 | + | 0.141339i | ||||
\(288\) | 5.63690 | − | 11.3606i | 0.332157 | − | 0.669429i | ||||
\(289\) | −8.35103 | + | 6.06738i | −0.491237 | + | 0.356905i | ||||
\(290\) | 5.05380 | + | 15.1711i | 0.296769 | + | 0.890879i | ||||
\(291\) | −13.3162 | + | 21.9921i | −0.780608 | + | 1.28920i | ||||
\(292\) | 0.852971 | + | 0.768019i | 0.0499164 | + | 0.0449449i | ||||
\(293\) | 2.72338 | − | 1.57235i | 0.159102 | − | 0.0918574i | −0.418335 | − | 0.908293i | \(-0.637386\pi\) |
0.577437 | + | 0.816435i | \(0.304053\pi\) | |||||||
\(294\) | −13.5987 | − | 10.3200i | −0.793090 | − | 0.601875i | ||||
\(295\) | 2.40186 | − | 3.35784i | 0.139841 | − | 0.195501i | ||||
\(296\) | 1.85761 | − | 5.71713i | 0.107971 | − | 0.332302i | ||||
\(297\) | −21.7116 | − | 14.4167i | −1.25983 | − | 0.836541i | ||||
\(298\) | −7.13835 | − | 9.82509i | −0.413513 | − | 0.569152i | ||||
\(299\) | 18.4653 | − | 31.9828i | 1.06788 | − | 1.84962i | ||||
\(300\) | −5.89111 | − | 3.44897i | −0.340124 | − | 0.199127i | ||||
\(301\) | −0.262949 | − | 0.455441i | −0.0151561 | − | 0.0262512i | ||||
\(302\) | −9.95415 | + | 22.3574i | −0.572797 | + | 1.28652i | ||||
\(303\) | −1.98121 | + | 8.45033i | −0.113817 | + | 0.485459i | ||||
\(304\) | 4.51299 | + | 5.01218i | 0.258838 | + | 0.287468i | ||||
\(305\) | −9.70281 | + | 22.2342i | −0.555581 | + | 1.27312i | ||||
\(306\) | 6.93422 | − | 10.9309i | 0.396403 | − | 0.624879i | ||||
\(307\) | − | 14.1051i | − | 0.805020i | −0.915416 | − | 0.402510i | \(-0.868138\pi\) | ||
0.915416 | − | 0.402510i | \(-0.131862\pi\) | |||||||
\(308\) | 0.861132 | − | 4.05131i | 0.0490675 | − | 0.230845i | ||||
\(309\) | 4.77639 | + | 8.68638i | 0.271720 | + | 0.494151i | ||||
\(310\) | 22.6280 | − | 10.2759i | 1.28518 | − | 0.583633i | ||||
\(311\) | 20.4851 | + | 9.12054i | 1.16160 | + | 0.517178i | 0.894754 | − | 0.446560i | \(-0.147351\pi\) |
0.266848 | + | 0.963739i | \(0.414018\pi\) | |||||||
\(312\) | 15.9806 | − | 8.78731i | 0.904726 | − | 0.497483i | ||||
\(313\) | −5.52084 | − | 12.4000i | −0.312057 | − | 0.700890i | 0.687627 | − | 0.726065i | \(-0.258653\pi\) |
−0.999683 | + | 0.0251741i | \(0.991986\pi\) | |||||||
\(314\) | 4.73378 | − | 3.43929i | 0.267143 | − | 0.194091i | ||||
\(315\) | −6.31816 | − | 3.07690i | −0.355988 | − | 0.173364i | ||||
\(316\) | −2.56520 | − | 1.86372i | −0.144304 | − | 0.104843i | ||||
\(317\) | 1.76598 | − | 8.30828i | 0.0991873 | − | 0.466640i | −0.900319 | − | 0.435230i | \(-0.856667\pi\) |
0.999507 | − | 0.0314096i | \(-0.00999963\pi\) | |||||||
\(318\) | 39.8020 | − | 3.34587i | 2.23199 | − | 0.187627i | ||||
\(319\) | 14.3733 | − | 15.9631i | 0.804749 | − | 0.893765i | ||||
\(320\) | 6.33589 | − | 0.713363i | 0.354187 | − | 0.0398782i | ||||
\(321\) | 1.94159 | + | 6.42876i | 0.108369 | + | 0.358819i | ||||
\(322\) | −9.22577 | + | 8.30693i | −0.514132 | + | 0.462927i | ||||
\(323\) | 2.06739 | + | 2.84552i | 0.115033 | + | 0.158329i | ||||
\(324\) | 1.32683 | − | 6.96909i | 0.0737126 | − | 0.387172i | ||||
\(325\) | −10.9335 | − | 23.6104i | −0.606479 | − | 1.30967i | ||||
\(326\) | −8.75417 | + | 15.1627i | −0.484849 | + | 0.839782i | ||||
\(327\) | −14.2896 | − | 4.97473i | −0.790217 | − | 0.275103i | ||||
\(328\) | −1.18852 | − | 5.59154i | −0.0656250 | − | 0.308741i | ||||
\(329\) | 5.76001 | − | 1.22433i | 0.317560 | − | 0.0674994i | ||||
\(330\) | −0.436428 | + | 32.4340i | −0.0240246 | + | 1.78543i | ||||
\(331\) | 20.2595 | + | 4.30628i | 1.11356 | + | 0.236695i | 0.727722 | − | 0.685872i | \(-0.240579\pi\) |
0.385838 | + | 0.922566i | \(0.373912\pi\) | |||||||
\(332\) | − | 0.605783i | − | 0.0332467i | ||||||
\(333\) | 0.371628 | − | 8.90507i | 0.0203651 | − | 0.487995i | ||||
\(334\) | −7.64017 | − | 5.55091i | −0.418052 | − | 0.303732i | ||||
\(335\) | 0.855741 | + | 2.56887i | 0.0467541 | + | 0.140352i | ||||
\(336\) | −8.83176 | + | 1.68557i | −0.481812 | + | 0.0919555i | ||||
\(337\) | 29.0789 | + | 3.05632i | 1.58403 | + | 0.166488i | 0.855233 | − | 0.518243i | \(-0.173414\pi\) |
0.728796 | + | 0.684731i | \(0.240080\pi\) | |||||||
\(338\) | −23.3813 | − | 2.45748i | −1.27178 | − | 0.133669i | ||||
\(339\) | −1.25183 | + | 0.238917i | −0.0679903 | + | 0.0129762i | ||||
\(340\) | −4.55457 | + | 0.0336994i | −0.247006 | + | 0.00182761i | ||||
\(341\) | −27.0082 | − | 19.6226i | −1.46257 | − | 1.06262i | ||||
\(342\) | 5.75763 | + | 3.65245i | 0.311337 | + | 0.197502i | ||||
\(343\) | 13.5168i | 0.729836i | ||||||||
\(344\) | 0.993542 | + | 0.211184i | 0.0535682 | + | 0.0113863i | ||||
\(345\) | 16.4536 | − | 22.0172i | 0.885831 | − | 1.18537i | ||||
\(346\) | −31.2150 | + | 6.63495i | −1.67813 | + | 0.356697i | ||||
\(347\) | 3.76397 | + | 17.7081i | 0.202060 | + | 0.950619i | 0.955930 | + | 0.293595i | \(0.0948517\pi\) |
−0.753870 | + | 0.657024i | \(0.771815\pi\) | |||||||
\(348\) | 5.52207 | + | 1.92243i | 0.296014 | + | 0.103053i | ||||
\(349\) | −14.8995 | + | 25.8068i | −0.797554 | + | 1.38140i | 0.123650 | + | 0.992326i | \(0.460540\pi\) |
−0.921204 | + | 0.389079i | \(0.872793\pi\) | |||||||
\(350\) | 1.04287 | + | 8.68410i | 0.0557439 | + | 0.464185i | ||||
\(351\) | 19.3141 | − | 18.9239i | 1.03091 | − | 1.01009i | ||||
\(352\) | 12.4629 | + | 17.1537i | 0.664275 | + | 0.914296i | ||||
\(353\) | 11.0712 | − | 9.96859i | 0.589263 | − | 0.530575i | −0.319664 | − | 0.947531i | \(-0.603570\pi\) |
0.908926 | + | 0.416956i | \(0.136903\pi\) | |||||||
\(354\) | −1.54384 | − | 5.11178i | −0.0820542 | − | 0.271688i | ||||
\(355\) | −19.3491 | + | 17.6830i | −1.02695 | + | 0.938517i | ||||
\(356\) | −9.04223 | + | 10.0424i | −0.479237 | + | 0.532247i | ||||
\(357\) | −4.67238 | + | 0.392774i | −0.247289 | + | 0.0207878i | ||||
\(358\) | −3.12469 | + | 14.7005i | −0.165145 | + | 0.776946i | ||||
\(359\) | −19.7808 | − | 14.3716i | −1.04399 | − | 0.758503i | −0.0729299 | − | 0.997337i | \(-0.523235\pi\) |
−0.971061 | + | 0.238834i | \(0.923235\pi\) | |||||||
\(360\) | 12.5819 | − | 5.09216i | 0.663123 | − | 0.268380i | ||||
\(361\) | 13.8725 | − | 10.0790i | 0.730132 | − | 0.530472i | ||||
\(362\) | 9.50652 | + | 21.3520i | 0.499652 | + | 1.12224i | ||||
\(363\) | 21.4862 | − | 11.8147i | 1.12773 | − | 0.620109i | ||||
\(364\) | 3.92567 | + | 1.74782i | 0.205761 | + | 0.0916108i | ||||
\(365\) | 0.364291 | + | 3.23553i | 0.0190679 | + | 0.169355i | ||||
\(366\) | 15.1186 | + | 27.4948i | 0.790262 | + | 1.43718i | ||||
\(367\) | −4.93498 | + | 23.2172i | −0.257604 | + | 1.21193i | 0.639039 | + | 0.769174i | \(0.279332\pi\) |
−0.896643 | + | 0.442755i | \(0.854001\pi\) | |||||||
\(368\) | − | 35.1660i | − | 1.83316i | ||||||
\(369\) | −3.92806 | − | 7.51039i | −0.204487 | − | 0.390975i | ||||
\(370\) | −9.56543 | + | 5.61737i | −0.497283 | + | 0.292033i | ||||
\(371\) | −9.68091 | − | 10.7517i | −0.502608 | − | 0.558203i | ||||
\(372\) | 2.07430 | − | 8.84741i | 0.107548 | − | 0.458717i | ||||
\(373\) | 7.29467 | − | 16.3841i | 0.377704 | − | 0.848336i | −0.620250 | − | 0.784404i | \(-0.712969\pi\) |
0.997954 | − | 0.0639327i | \(-0.0203643\pi\) | |||||||
\(374\) | 10.8211 | + | 18.7427i | 0.559547 | + | 0.969164i | ||||
\(375\) | −6.00881 | − | 18.4091i | −0.310294 | − | 0.950641i | ||||
\(376\) | −5.68682 | + | 9.84985i | −0.293275 | + | 0.507967i | ||||
\(377\) | 13.0996 | + | 18.0300i | 0.674662 | + | 0.928593i | ||||
\(378\) | −8.14059 | + | 4.04376i | −0.418707 | + | 0.207989i | ||||
\(379\) | −8.41830 | + | 25.9089i | −0.432419 | + | 1.33085i | 0.463289 | + | 0.886207i | \(0.346669\pi\) |
−0.895708 | + | 0.444642i | \(0.853331\pi\) | |||||||
\(380\) | −0.0177504 | − | 2.39902i | −0.000910577 | − | 0.123067i | ||||
\(381\) | 0.706531 | + | 0.536186i | 0.0361967 | + | 0.0274697i | ||||
\(382\) | 0.271640 | − | 0.156831i | 0.0138983 | − | 0.00802418i | ||||
\(383\) | 3.42913 | + | 3.08760i | 0.175220 | + | 0.157769i | 0.752075 | − | 0.659078i | \(-0.229053\pi\) |
−0.576854 | + | 0.816847i | \(0.695720\pi\) | |||||||
\(384\) | 11.8563 | − | 19.5811i | 0.605042 | − | 0.999245i | ||||
\(385\) | 9.45399 | − | 6.97618i | 0.481820 | − | 0.355539i | ||||
\(386\) | 20.4193 | − | 14.8355i | 1.03932 | − | 0.755107i | ||||
\(387\) | 1.50301 | − | 0.0948329i | 0.0764023 | − | 0.00482063i | ||||
\(388\) | 6.87725 | − | 9.46572i | 0.349139 | − | 0.480549i | ||||
\(389\) | 1.94231 | + | 18.4798i | 0.0984790 | + | 0.936965i | 0.926507 | + | 0.376278i | \(0.122796\pi\) |
−0.828028 | + | 0.560687i | \(0.810537\pi\) | |||||||
\(390\) | −32.8211 | − | 7.43926i | −1.66196 | − | 0.376702i | ||||
\(391\) | 1.91694 | − | 18.2385i | 0.0969439 | − | 0.922360i | ||||
\(392\) | −8.87543 | − | 7.99147i | −0.448277 | − | 0.403630i | ||||
\(393\) | −15.6945 | + | 33.3603i | −0.791682 | + | 1.68280i | ||||
\(394\) | −25.8882 | − | 5.50270i | −1.30423 | − | 0.277222i | ||||
\(395\) | −1.93513 | − | 8.78398i | −0.0973669 | − | 0.441970i | ||||
\(396\) | 9.29656 | + | 7.36564i | 0.467170 | + | 0.370137i | ||||
\(397\) | −2.65316 | − | 0.862063i | −0.133158 | − | 0.0432657i | 0.241680 | − | 0.970356i | \(-0.422302\pi\) |
−0.374838 | + | 0.927090i | \(0.622302\pi\) | |||||||
\(398\) | −11.2637 | + | 1.18386i | −0.564598 | + | 0.0593416i | ||||
\(399\) | −0.206885 | − | 2.46108i | −0.0103572 | − | 0.123208i | ||||
\(400\) | −20.2574 | − | 14.2647i | −1.01287 | − | 0.713233i | ||||
\(401\) | −0.356389 | − | 0.617283i | −0.0177972 | − | 0.0308257i | 0.856990 | − | 0.515334i | \(-0.172332\pi\) |
−0.874787 | + | 0.484508i | \(0.838999\pi\) | |||||||
\(402\) | 3.30745 | + | 1.15144i | 0.164961 | + | 0.0574288i | ||||
\(403\) | 25.7397 | − | 23.1762i | 1.28219 | − | 1.15449i | ||||
\(404\) | 1.22062 | − | 3.75668i | 0.0607281 | − | 0.186902i | ||||
\(405\) | 15.9350 | − | 12.2913i | 0.791815 | − | 0.610761i | ||||
\(406\) | −2.31507 | − | 7.12505i | −0.114895 | − | 0.353610i | ||||
\(407\) | 12.9048 | + | 7.45060i | 0.639668 | + | 0.369313i | ||||
\(408\) | 5.47474 | − | 7.21406i | 0.271040 | − | 0.357149i | ||||
\(409\) | −0.863901 | + | 8.21947i | −0.0427172 | + | 0.406427i | 0.952180 | + | 0.305536i | \(0.0988358\pi\) |
−0.994898 | + | 0.100890i | \(0.967831\pi\) | |||||||
\(410\) | −5.20663 | + | 9.17424i | −0.257137 | + | 0.453083i | ||||
\(411\) | −23.7519 | − | 27.5119i | −1.17160 | − | 1.35706i | ||||
\(412\) | −1.83494 | − | 4.12134i | −0.0904010 | − | 0.203044i | ||||
\(413\) | −1.13689 | + | 1.56479i | −0.0559425 | + | 0.0769983i | ||||
\(414\) | −9.56655 | − | 34.2397i | −0.470170 | − | 1.68279i | ||||
\(415\) | 1.14039 | − | 1.28553i | 0.0559794 | − | 0.0631042i | ||||
\(416\) | −20.0966 | + | 8.94760i | −0.985319 | + | 0.438692i | ||||
\(417\) | −11.5193 | − | 1.45417i | −0.564101 | − | 0.0712109i | ||||
\(418\) | −9.87233 | + | 5.69979i | −0.482872 | + | 0.278786i | ||||
\(419\) | 10.5595 | − | 11.7275i | 0.515863 | − | 0.572924i | −0.427782 | − | 0.903882i | \(-0.640705\pi\) |
0.943646 | + | 0.330958i | \(0.107372\pi\) | |||||||
\(420\) | 2.74798 | + | 1.63623i | 0.134087 | + | 0.0798400i | ||||
\(421\) | 1.18232 | + | 1.31310i | 0.0576229 | + | 0.0639967i | 0.771267 | − | 0.636512i | \(-0.219623\pi\) |
−0.713644 | + | 0.700508i | \(0.752957\pi\) | |||||||
\(422\) | −4.62141 | − | 1.50159i | −0.224967 | − | 0.0730961i | ||||
\(423\) | −4.19079 | + | 16.3342i | −0.203763 | + | 0.794198i | ||||
\(424\) | 27.9438 | 1.35707 | ||||||||
\(425\) | −9.72867 | − | 8.50247i | −0.471910 | − | 0.412430i | ||||
\(426\) | 2.84001 | + | 33.7844i | 0.137599 | + | 1.63686i | ||||
\(427\) | 4.62275 | − | 10.3829i | 0.223710 | − | 0.502462i | ||||
\(428\) | −0.635427 | − | 2.98945i | −0.0307145 | − | 0.144501i | ||||
\(429\) | 13.0703 | + | 43.2767i | 0.631038 | + | 2.08942i | ||||
\(430\) | −1.11291 | − | 1.50820i | −0.0536695 | − | 0.0727319i | ||||
\(431\) | 10.7997 | + | 33.2379i | 0.520201 | + | 1.60102i | 0.773614 | + | 0.633657i | \(0.218447\pi\) |
−0.253413 | + | 0.967358i | \(0.581553\pi\) | |||||||
\(432\) | 6.91740 | − | 24.8012i | 0.332813 | − | 1.19325i | ||||
\(433\) | −10.4999 | + | 3.41164i | −0.504595 | + | 0.163953i | −0.550243 | − | 0.835005i | \(-0.685465\pi\) |
0.0456476 | + | 0.998958i | \(0.485465\pi\) | |||||||
\(434\) | −10.6366 | + | 4.73573i | −0.510574 | + | 0.227322i | ||||
\(435\) | 8.09939 | + | 14.4749i | 0.388336 | + | 0.694018i | ||||
\(436\) | 6.29066 | + | 2.80078i | 0.301268 | + | 0.134133i | ||||
\(437\) | 9.60672 | + | 1.00971i | 0.459552 | + | 0.0483009i | ||||
\(438\) | 3.60244 | + | 2.18127i | 0.172131 | + | 0.104225i | ||||
\(439\) | 1.09294 | + | 10.3987i | 0.0521633 | + | 0.496301i | 0.989147 | + | 0.146928i | \(0.0469386\pi\) |
−0.936984 | + | 0.349373i | \(0.886395\pi\) | |||||||
\(440\) | −2.20501 | + | 22.5856i | −0.105120 | + | 1.07672i | ||||
\(441\) | −15.8623 | − | 7.87055i | −0.755347 | − | 0.374788i | ||||
\(442\) | −21.3551 | + | 6.93870i | −1.01576 | + | 0.330040i | ||||
\(443\) | 3.68612 | + | 2.12818i | 0.175133 | + | 0.101113i | 0.585004 | − | 0.811031i | \(-0.301093\pi\) |
−0.409871 | + | 0.912143i | \(0.634426\pi\) | |||||||
\(444\) | −0.508015 | + | 4.02426i | −0.0241093 | + | 0.190983i | ||||
\(445\) | −38.0933 | + | 4.28896i | −1.80580 | + | 0.203316i | ||||
\(446\) | −14.4517 | + | 3.07180i | −0.684307 | + | 0.145454i | ||||
\(447\) | −9.18373 | − | 8.62254i | −0.434376 | − | 0.407832i | ||||
\(448\) | −2.97078 | + | 0.312241i | −0.140356 | + | 0.0147520i | ||||
\(449\) | 21.3213 | 1.00621 | 0.503106 | − | 0.864225i | \(-0.332190\pi\) | ||||
0.503106 | + | 0.864225i | \(0.332190\pi\) | |||||||
\(450\) | −23.6043 | − | 8.37813i | −1.11272 | − | 0.394949i | ||||
\(451\) | 14.1702 | 0.667249 | ||||||||
\(452\) | 0.576812 | − | 0.0606254i | 0.0271310 | − | 0.00285158i | ||||
\(453\) | −5.79457 | + | 24.7153i | −0.272253 | + | 1.16123i | ||||
\(454\) | 15.4100 | − | 3.27550i | 0.723229 | − | 0.153727i | ||||
\(455\) | 5.04038 | + | 11.0991i | 0.236297 | + | 0.520335i | ||||
\(456\) | 3.79985 | + | 2.88370i | 0.177944 | + | 0.135042i | ||||
\(457\) | −23.8668 | − | 13.7795i | −1.11644 | − | 0.644578i | −0.175952 | − | 0.984399i | \(-0.556300\pi\) |
−0.940490 | + | 0.339820i | \(0.889634\pi\) | |||||||
\(458\) | −5.66772 | + | 1.84155i | −0.264835 | + | 0.0860501i | ||||
\(459\) | 4.93957 | − | 12.4858i | 0.230560 | − | 0.582786i | ||||
\(460\) | −8.30101 | + | 9.35753i | −0.387037 | + | 0.436297i | ||||
\(461\) | −2.91533 | − | 27.7375i | −0.135780 | − | 1.29186i | −0.824095 | − | 0.566451i | \(-0.808316\pi\) |
0.688315 | − | 0.725412i | \(-0.258351\pi\) | |||||||
\(462\) | 0.316891 | − | 15.1935i | 0.0147431 | − | 0.706865i | ||||
\(463\) | 1.92050 | + | 0.201853i | 0.0892534 | + | 0.00938091i | 0.149050 | − | 0.988830i | \(-0.452379\pi\) |
−0.0597965 | + | 0.998211i | \(0.519045\pi\) | |||||||
\(464\) | 19.3868 | + | 8.63155i | 0.900008 | + | 0.400710i | ||||
\(465\) | 21.0571 | − | 14.8702i | 0.976501 | − | 0.689588i | ||||
\(466\) | 22.6369 | − | 10.0786i | 1.04863 | − | 0.466882i | ||||
\(467\) | −30.3777 | + | 9.87030i | −1.40571 | + | 0.456743i | −0.911033 | − | 0.412333i | \(-0.864714\pi\) |
−0.494678 | + | 0.869076i | \(0.664714\pi\) | |||||||
\(468\) | −9.48031 | + | 7.84567i | −0.438228 | + | 0.362666i | ||||
\(469\) | −0.392002 | − | 1.20646i | −0.0181010 | − | 0.0557091i | ||||
\(470\) | 19.9123 | − | 6.63317i | 0.918485 | − | 0.305965i | ||||
\(471\) | 4.15439 | − | 4.42477i | 0.191424 | − | 0.203883i | ||||
\(472\) | −0.776708 | − | 3.65412i | −0.0357509 | − | 0.168195i | ||||
\(473\) | −1.02410 | + | 2.30018i | −0.0470884 | + | 0.105762i | ||||
\(474\) | −10.5271 | − | 4.95251i | −0.483525 | − | 0.227477i | ||||
\(475\) | 4.47849 | − | 5.12437i | 0.205487 | − | 0.235122i | ||||
\(476\) | 2.13389 | 0.0978067 | ||||||||
\(477\) | 39.9031 | − | 11.1489i | 1.82704 | − | 0.510472i | ||||
\(478\) | 23.9813 | + | 7.79198i | 1.09688 | + | 0.356397i | ||||
\(479\) | −21.5839 | − | 23.9713i | −0.986192 | − | 1.09528i | −0.995447 | − | 0.0953204i | \(-0.969612\pi\) |
0.00925432 | − | 0.999957i | \(-0.497054\pi\) | |||||||
\(480\) | −15.6380 | + | 4.84945i | −0.713772 | + | 0.221346i | ||||
\(481\) | −10.3449 | + | 11.4892i | −0.471686 | + | 0.523860i | ||||
\(482\) | −0.0646119 | + | 0.0373037i | −0.00294299 | + | 0.00169914i | ||||
\(483\) | −7.78467 | + | 10.2578i | −0.354215 | + | 0.466748i | ||||
\(484\) | −10.1944 | + | 4.53882i | −0.463380 | + | 0.206310i | ||||
\(485\) | 32.4134 | − | 7.14074i | 1.47182 | − | 0.324244i | ||||
\(486\) | −0.0117085 | − | 26.0297i | −0.000531108 | − | 1.18073i | ||||
\(487\) | 14.6325 | − | 20.1400i | 0.663064 | − | 0.912629i | −0.336514 | − | 0.941678i | \(-0.609248\pi\) |
0.999578 | + | 0.0290491i | \(0.00924791\pi\) | |||||||
\(488\) | 8.92854 | + | 20.0538i | 0.404176 | + | 0.907795i | ||||
\(489\) | −5.97100 | + | 17.1513i | −0.270018 | + | 0.775611i | ||||
\(490\) | 2.46579 | + | 21.9005i | 0.111393 | + | 0.989362i | ||||
\(491\) | 0.136136 | − | 1.29525i | 0.00614373 | − | 0.0584537i | −0.991020 | − | 0.133710i | \(-0.957311\pi\) |
0.997164 | + | 0.0752565i | \(0.0239775\pi\) | |||||||
\(492\) | 1.49505 | + | 3.55570i | 0.0674022 | + | 0.160303i | ||||
\(493\) | 9.58422 | + | 5.53345i | 0.431652 | + | 0.249214i | ||||
\(494\) | −3.65481 | − | 11.2483i | −0.164438 | − | 0.506087i | ||||
\(495\) | 5.86237 | + | 33.1314i | 0.263494 | + | 1.48914i | ||||
\(496\) | 10.1918 | − | 31.3671i | 0.457625 | − | 1.40842i | ||||
\(497\) | 9.12619 | − | 8.21726i | 0.409366 | − | 0.368594i | ||||
\(498\) | −0.416687 | − | 2.18328i | −0.0186722 | − | 0.0978352i | ||||
\(499\) | −8.06259 | − | 13.9648i | −0.360931 | − | 0.625151i | 0.627183 | − | 0.778872i | \(-0.284208\pi\) |
−0.988114 | + | 0.153721i | \(0.950874\pi\) | |||||||
\(500\) | 2.02319 | + | 8.57755i | 0.0904797 | + | 0.383600i | ||||
\(501\) | −8.86388 | − | 4.17005i | −0.396009 | − | 0.186304i | ||||
\(502\) | 25.7957 | − | 2.71123i | 1.15132 | − | 0.121008i | ||||
\(503\) | −5.46111 | − | 1.77442i | −0.243499 | − | 0.0791176i | 0.184725 | − | 0.982790i | \(-0.440861\pi\) |
−0.428224 | + | 0.903673i | \(0.640861\pi\) | |||||||
\(504\) | −5.91214 | + | 2.34201i | −0.263348 | + | 0.104322i | ||||
\(505\) | 9.66223 | − | 5.67422i | 0.429964 | − | 0.252500i | ||||
\(506\) | 58.1385 | + | 12.3577i | 2.58457 | + | 0.549367i | ||||
\(507\) | −24.3008 | + | 2.04280i | −1.07924 | + | 0.0907238i | ||||
\(508\) | −0.299970 | − | 0.270094i | −0.0133090 | − | 0.0119835i | ||||
\(509\) | −0.116731 | + | 1.11062i | −0.00517401 | + | 0.0492274i | −0.996804 | − | 0.0798827i | \(-0.974545\pi\) |
0.991630 | + | 0.129110i | \(0.0412121\pi\) | |||||||
\(510\) | −16.3918 | + | 3.25431i | −0.725840 | + | 0.144103i | ||||
\(511\) | −0.159451 | − | 1.51708i | −0.00705371 | − | 0.0671116i | ||||
\(512\) | −0.526086 | + | 0.724095i | −0.0232499 | + | 0.0320008i | ||||
\(513\) | 6.57661 | + | 2.60181i | 0.290365 | + | 0.114873i | ||||
\(514\) | 17.5519 | − | 12.7522i | 0.774179 | − | 0.562474i | ||||
\(515\) | 3.86451 | − | 12.2002i | 0.170291 | − | 0.537604i | ||||
\(516\) | −0.685227 | − | 0.0142918i | −0.0301655 | − | 0.000629161i | ||||
\(517\) | −20.9518 | − | 18.8651i | −0.921461 | − | 0.829687i | ||||
\(518\) | 4.50079 | − | 2.59853i | 0.197753 | − | 0.114173i | ||||
\(519\) | −30.5143 | + | 12.8303i | −1.33943 | + | 0.563186i | ||||
\(520\) | −22.4451 | − | 7.10969i | −0.984282 | − | 0.311780i | ||||
\(521\) | 1.63831 | − | 5.04221i | 0.0717758 | − | 0.220903i | −0.908733 | − | 0.417378i | \(-0.862949\pi\) |
0.980509 | + | 0.196474i | \(0.0629493\pi\) | |||||||
\(522\) | 21.2242 | + | 3.13022i | 0.928960 | + | 0.137006i | ||||
\(523\) | −15.2951 | − | 21.0519i | −0.668807 | − | 0.920533i | 0.330926 | − | 0.943657i | \(-0.392639\pi\) |
−0.999733 | + | 0.0231234i | \(0.992639\pi\) | |||||||
\(524\) | 8.38919 | − | 14.5305i | 0.366484 | − | 0.634768i | ||||
\(525\) | 2.75126 | + | 8.64531i | 0.120075 | + | 0.377312i | ||||
\(526\) | −19.7256 | − | 34.1657i | −0.860077 | − | 1.48970i | ||||
\(527\) | 6.99571 | − | 15.7126i | 0.304738 | − | 0.684453i | ||||
\(528\) | 31.3828 | + | 29.4651i | 1.36576 | + | 1.28230i | ||||
\(529\) | −18.3109 | − | 20.3363i | −0.796127 | − | 0.884189i | ||||
\(530\) | −38.5748 | − | 34.2195i | −1.67558 | − | 1.48640i | ||||
\(531\) | −2.56702 | − | 4.90811i | −0.111399 | − | 0.212994i | ||||
\(532\) | 1.12398i | 0.0487307i | ||||||||
\(533\) | −3.05667 | + | 14.3805i | −0.132399 | + | 0.622889i | ||||
\(534\) | −25.6811 | + | 42.4132i | −1.11133 | + | 1.83540i | ||||
\(535\) | 4.27921 | − | 7.54009i | 0.185006 | − | 0.325987i | ||||
\(536\) | 2.23829 | + | 0.996552i | 0.0966795 | + | 0.0430445i | ||||
\(537\) | −0.325072 | + | 15.5858i | −0.0140279 | + | 0.672575i | ||||
\(538\) | −7.33534 | − | 16.4755i | −0.316249 | − | 0.710307i | ||||
\(539\) | 23.9510 | − | 17.4014i | 1.03164 | − | 0.749531i | ||||
\(540\) | −7.69505 | + | 4.96661i | −0.331142 | + | 0.213729i | ||||
\(541\) | 34.1490 | + | 24.8107i | 1.46818 | + | 1.06670i | 0.981136 | + | 0.193321i | \(0.0619258\pi\) |
0.487046 | + | 0.873376i | \(0.338074\pi\) | |||||||
\(542\) | 4.81961 | − | 22.6745i | 0.207020 | − | 0.973953i | ||||
\(543\) | 13.8381 | + | 19.9066i | 0.593851 | + | 0.854275i | ||||
\(544\) | −7.30958 | + | 8.11811i | −0.313396 | + | 0.348061i | ||||
\(545\) | 8.07691 | + | 17.7857i | 0.345977 | + | 0.761856i | ||||
\(546\) | 15.3506 | + | 3.59900i | 0.656946 | + | 0.154023i | ||||
\(547\) | 19.2695 | − | 17.3503i | 0.823905 | − | 0.741847i | −0.144960 | − | 0.989437i | \(-0.546305\pi\) |
0.968865 | + | 0.247591i | \(0.0796388\pi\) | |||||||
\(548\) | 9.72264 | + | 13.3821i | 0.415330 | + | 0.571653i | ||||
\(549\) | 20.7507 | + | 25.0741i | 0.885619 | + | 1.07014i | ||||
\(550\) | 30.7018 | − | 28.4778i | 1.30913 | − | 1.21430i | ||||
\(551\) | −2.91463 | + | 5.04828i | −0.124167 | + | 0.215064i | ||||
\(552\) | −4.66268 | − | 24.4307i | −0.198457 | − | 1.03984i | ||||
\(553\) | 0.876142 | + | 4.12192i | 0.0372573 | + | 0.175282i | ||||
\(554\) | 53.4917 | − | 11.3700i | 2.27264 | − | 0.483065i | ||||
\(555\) | −8.65374 | + | 7.58354i | −0.367331 | + | 0.321903i | ||||
\(556\) | 5.16853 | + | 1.09860i | 0.219194 | + | 0.0465912i | ||||
\(557\) | − | 4.89318i | − | 0.207331i | −0.994612 | − | 0.103665i | \(-0.966943\pi\) | ||
0.994612 | − | 0.103665i | \(-0.0330571\pi\) | |||||||
\(558\) | 1.39024 | − | 33.3134i | 0.0588536 | − | 1.41027i | ||||
\(559\) | −2.11340 | − | 1.53548i | −0.0893873 | − | 0.0649437i | ||||
\(560\) | 9.44093 | + | 6.75308i | 0.398952 | + | 0.285370i | ||||
\(561\) | 14.6702 | + | 16.9925i | 0.619375 | + | 0.717423i | ||||
\(562\) | 17.0674 | + | 1.79386i | 0.719945 | + | 0.0756693i | ||||
\(563\) | −24.7718 | − | 2.60362i | −1.04401 | − | 0.109730i | −0.433031 | − | 0.901379i | \(-0.642556\pi\) |
−0.610976 | + | 0.791649i | \(0.709223\pi\) | |||||||
\(564\) | 2.52322 | − | 7.24779i | 0.106247 | − | 0.305187i | ||||
\(565\) | 1.33818 | + | 0.957197i | 0.0562976 | + | 0.0402696i | ||||
\(566\) | −5.31241 | − | 3.85969i | −0.223297 | − | 0.162235i | ||||
\(567\) | −7.50799 | + | 5.70314i | −0.315306 | + | 0.239509i | ||||
\(568\) | 23.7190i | 0.995227i | ||||||||
\(569\) | 23.0613 | + | 4.90183i | 0.966780 | + | 0.205495i | 0.664139 | − | 0.747609i | \(-0.268798\pi\) |
0.302641 | + | 0.953105i | \(0.402132\pi\) | |||||||
\(570\) | −1.71413 | − | 8.63401i | −0.0717972 | − | 0.361639i | ||||
\(571\) | 36.3197 | − | 7.72000i | 1.51993 | − | 0.323072i | 0.629072 | − | 0.777347i | \(-0.283435\pi\) |
0.890861 | + | 0.454275i | \(0.150102\pi\) | |||||||
\(572\) | −4.27753 | − | 20.1242i | −0.178852 | − | 0.841434i | ||||
\(573\) | 0.246273 | − | 0.212616i | 0.0102882 | − | 0.00888214i | ||||
\(574\) | 2.47106 | − | 4.28000i | 0.103140 | − | 0.178644i | ||||
\(575\) | −35.2311 | + | 4.23090i | −1.46924 | + | 0.176441i | ||||
\(576\) | 2.98031 | − | 8.01823i | 0.124180 | − | 0.334093i | ||||
\(577\) | 6.03334 | + | 8.30418i | 0.251171 | + | 0.345707i | 0.915921 | − | 0.401359i | \(-0.131462\pi\) |
−0.664750 | + | 0.747066i | \(0.731462\pi\) | |||||||
\(578\) | 12.8092 | − | 11.5335i | 0.532792 | − | 0.479728i | ||||
\(579\) | 17.9201 | − | 19.0864i | 0.744733 | − | 0.793203i | ||||
\(580\) | −3.12124 | − | 6.87310i | −0.129602 | − | 0.285390i | ||||
\(581\) | −0.538717 | + | 0.598306i | −0.0223497 | + | 0.0248219i | ||||
\(582\) | 18.2751 | − | 38.8456i | 0.757526 | − | 1.61020i | ||||
\(583\) | −14.4017 | + | 67.7547i | −0.596458 | + | 2.80611i | ||||
\(584\) | 2.38359 | + | 1.73178i | 0.0986337 | + | 0.0716616i | ||||
\(585\) | −34.8876 | − | 1.19743i | −1.44243 | − | 0.0495077i | ||||
\(586\) | −4.24817 | + | 3.08647i | −0.175490 | + | 0.127501i | ||||
\(587\) | −15.5303 | − | 34.8816i | −0.641003 | − | 1.43972i | −0.882969 | − | 0.469432i | \(-0.844459\pi\) |
0.241966 | − | 0.970285i | \(-0.422208\pi\) | |||||||
\(588\) | 6.89348 | + | 4.17399i | 0.284282 | + | 0.172132i | ||||
\(589\) | 8.27629 | + | 3.68484i | 0.341018 | + | 0.151831i | ||||
\(590\) | −3.40258 | + | 5.99545i | −0.140082 | + | 0.246829i | ||||
\(591\) | −27.4472 | − | 0.572466i | −1.12903 | − | 0.0235481i | ||||
\(592\) | −3.06077 | + | 14.3998i | −0.125797 | + | 0.591828i | ||||
\(593\) | − | 15.4532i | − | 0.634585i | −0.948328 | − | 0.317293i | \(-0.897226\pi\) | ||
0.948328 | − | 0.317293i | \(-0.102774\pi\) | |||||||
\(594\) | 38.5718 | + | 20.1516i | 1.58262 | + | 0.826831i | ||||
\(595\) | 4.52832 | + | 4.01705i | 0.185643 | + | 0.164683i | ||||
\(596\) | 3.83609 | + | 4.26041i | 0.157132 | + | 0.174513i | ||||
\(597\) | −11.2462 | + | 3.39653i | −0.460276 | + | 0.139011i | ||||
\(598\) | −25.0822 | + | 56.3355i | −1.02569 | + | 2.30373i | ||||
\(599\) | 5.19282 | + | 8.99423i | 0.212173 | + | 0.367494i | 0.952394 | − | 0.304869i | \(-0.0986127\pi\) |
−0.740221 | + | 0.672363i | \(0.765279\pi\) | |||||||
\(600\) | −15.9646 | − | 7.22407i | −0.651753 | − | 0.294921i | ||||
\(601\) | −5.55662 | + | 9.62435i | −0.226659 | + | 0.392585i | −0.956816 | − | 0.290694i | \(-0.906114\pi\) |
0.730157 | + | 0.683280i | \(0.239447\pi\) | |||||||
\(602\) | 0.516162 | + | 0.710436i | 0.0210372 | + | 0.0289552i | ||||
\(603\) | 3.59382 | + | 0.530029i | 0.146352 | + | 0.0215845i | ||||
\(604\) | 3.57003 | − | 10.9874i | 0.145263 | − | 0.447072i | ||||
\(605\) | −30.1778 | − | 9.55909i | −1.22690 | − | 0.388632i | ||||
\(606\) | 1.81517 | − | 14.3789i | 0.0737361 | − | 0.584104i | ||||
\(607\) | 11.2355 | − | 6.48681i | 0.456034 | − | 0.263292i | −0.254341 | − | 0.967115i | \(-0.581859\pi\) |
0.710375 | + | 0.703823i | \(0.248525\pi\) | |||||||
\(608\) | −4.27604 | − | 3.85016i | −0.173416 | − | 0.156145i | ||||
\(609\) | −3.74431 | − | 6.80943i | −0.151727 | − | 0.275932i | ||||
\(610\) | 12.2323 | − | 38.6169i | 0.495270 | − | 1.56355i | ||||
\(611\) | 23.6646 | − | 17.1933i | 0.957368 | − | 0.695568i | ||||
\(612\) | −2.71607 | + | 5.47397i | −0.109791 | + | 0.221272i | ||||
\(613\) | 12.9781 | − | 17.8629i | 0.524182 | − | 0.721475i | −0.462048 | − | 0.886855i | \(-0.652885\pi\) |
0.986230 | + | 0.165380i | \(0.0528851\pi\) | |||||||
\(614\) | 2.46193 | + | 23.4237i | 0.0993556 | + | 0.945305i | ||||
\(615\) | −3.52096 | + | 10.3600i | −0.141979 | + | 0.417754i | ||||
\(616\) | 1.11132 | − | 10.5735i | 0.0447763 | − | 0.426018i | ||||
\(617\) | −10.5709 | − | 9.51810i | −0.425569 | − | 0.383184i | 0.428330 | − | 0.903622i | \(-0.359102\pi\) |
−0.853899 | + | 0.520438i | \(0.825769\pi\) | |||||||
\(618\) | −9.44810 | − | 13.5914i | −0.380058 | − | 0.546727i | ||||
\(619\) | 2.61966 | + | 0.556826i | 0.105293 | + | 0.0223807i | 0.260257 | − | 0.965539i | \(-0.416193\pi\) |
−0.154964 | + | 0.987920i | \(0.549526\pi\) | |||||||
\(620\) | −10.1163 | + | 5.94085i | −0.406278 | + | 0.238590i | ||||
\(621\) | −16.4054 | − | 33.0261i | −0.658327 | − | 1.32529i | ||||
\(622\) | −35.6106 | − | 11.5706i | −1.42786 | − | 0.463938i | ||||
\(623\) | 17.8612 | − | 1.87729i | 0.715596 | − | 0.0752121i | ||||
\(624\) | −36.6720 | + | 25.4926i | −1.46805 | + | 1.02052i | ||||
\(625\) | −11.8539 | + | 22.0110i | −0.474154 | + | 0.880442i | ||||
\(626\) | 11.3326 | + | 19.6286i | 0.452940 | + | 0.784516i | ||||
\(627\) | −8.95041 | + | 7.72719i | −0.357445 | + | 0.308594i | ||||
\(628\) | −2.05269 | + | 1.84825i | −0.0819112 | + | 0.0737532i | ||||
\(629\) | −2.37238 | + | 7.30145i | −0.0945932 | + | 0.291128i | ||||
\(630\) | 11.0294 | + | 4.00690i | 0.439420 | + | 0.159639i | ||||
\(631\) | 11.7151 | + | 36.0554i | 0.466371 | + | 1.43534i | 0.857250 | + | 0.514900i | \(0.172171\pi\) |
−0.390879 | + | 0.920442i | \(0.627829\pi\) | |||||||
\(632\) | −7.04866 | − | 4.06954i | −0.280381 | − | 0.161878i | ||||
\(633\) | −5.00068 | − | 0.631276i | −0.198759 | − | 0.0250910i | ||||
\(634\) | −1.48254 | + | 14.1055i | −0.0588793 | + | 0.560199i | ||||
\(635\) | −0.128113 | − | 1.13786i | −0.00508399 | − | 0.0451546i | ||||
\(636\) | −18.5210 | + | 3.53480i | −0.734405 | + | 0.140164i | ||||
\(637\) | 12.4931 | + | 28.0601i | 0.494996 | + | 1.11178i | ||||
\(638\) | −21.0829 | + | 29.0181i | −0.834679 | + | 1.14884i | ||||
\(639\) | 9.46329 | + | 33.8702i | 0.374362 | + | 1.33988i | ||||
\(640\) | −28.8600 | + | 6.35792i | −1.14079 | + | 0.251319i | ||||
\(641\) | −39.2879 | + | 17.4921i | −1.55178 | + | 0.690896i | −0.990599 | − | 0.136798i | \(-0.956319\pi\) |
−0.561179 | + | 0.827694i | \(0.689652\pi\) | |||||||
\(642\) | −4.34641 | − | 10.3371i | −0.171539 | − | 0.407972i | ||||
\(643\) | −29.6116 | + | 17.0963i | −1.16777 | + | 0.674211i | −0.953153 | − | 0.302488i | \(-0.902183\pi\) |
−0.214614 | + | 0.976699i | \(0.568849\pi\) | |||||||
\(644\) | 3.92138 | − | 4.35514i | 0.154524 | − | 0.171617i | ||||
\(645\) | −1.42721 | − | 1.32027i | −0.0561965 | − | 0.0519856i | ||||
\(646\) | −3.92990 | − | 4.36459i | −0.154620 | − | 0.171723i | ||||
\(647\) | −44.3154 | − | 14.3989i | −1.74222 | − | 0.566080i | −0.747093 | − | 0.664719i | \(-0.768551\pi\) |
−0.995123 | + | 0.0986388i | \(0.968551\pi\) | |||||||
\(648\) | 1.51728 | − | 18.1471i | 0.0596044 | − | 0.712887i | ||||
\(649\) | 9.26037 | 0.363501 | ||||||||
\(650\) | 22.2777 | + | 37.3004i | 0.873805 | + | 1.46304i | ||||
\(651\) | −9.91661 | + | 6.89355i | −0.388663 | + | 0.270179i | ||||
\(652\) | 3.36169 | − | 7.55047i | 0.131654 | − | 0.295699i | ||||
\(653\) | 0.304338 | + | 1.43180i | 0.0119097 | + | 0.0560306i | 0.983701 | − | 0.179811i | \(-0.0575486\pi\) |
−0.971791 | + | 0.235842i | \(0.924215\pi\) | |||||||
\(654\) | 24.5985 | + | 5.76718i | 0.961876 | + | 0.225515i | ||||
\(655\) | 45.1564 | − | 15.0425i | 1.76441 | − | 0.587758i | ||||
\(656\) | 4.32603 | + | 13.3141i | 0.168903 | + | 0.519830i | ||||
\(657\) | 4.09465 | + | 1.52195i | 0.159747 | + | 0.0593768i | ||||
\(658\) | −9.35171 | + | 3.03856i | −0.364568 | + | 0.118455i | ||||
\(659\) | −16.1186 | + | 7.17647i | −0.627892 | + | 0.279556i | −0.695911 | − | 0.718128i | \(-0.744999\pi\) |
0.0680183 | + | 0.997684i | \(0.478332\pi\) | |||||||
\(660\) | −1.39553 | − | 15.2485i | −0.0543208 | − | 0.593547i | ||||
\(661\) | 6.96271 | + | 3.10000i | 0.270818 | + | 0.120576i | 0.537653 | − | 0.843166i | \(-0.319311\pi\) |
−0.266835 | + | 0.963742i | \(0.585978\pi\) | |||||||
\(662\) | −34.3957 | − | 3.61513i | −1.33683 | − | 0.140506i | ||||
\(663\) | −20.4092 | + | 11.2224i | −0.792626 | + | 0.435843i | ||||
\(664\) | −0.162542 | − | 1.54648i | −0.00630784 | − | 0.0600151i | ||||
\(665\) | −2.11589 | + | 2.38519i | −0.0820508 | + | 0.0924938i | ||||
\(666\) | 0.937164 | + | 14.8531i | 0.0363143 | + | 0.575548i | ||||
\(667\) | 28.9061 | − | 9.39216i | 1.11925 | − | 0.363666i | ||||
\(668\) | 3.86078 | + | 2.22902i | 0.149378 | + | 0.0862435i | ||||
\(669\) | −14.1273 | + | 5.94006i | −0.546192 | + | 0.229656i | ||||
\(670\) | −1.86947 | − | 4.11666i | −0.0722240 | − | 0.159040i | ||||
\(671\) | −53.2257 | + | 11.3135i | −2.05475 | + | 0.436751i | ||||
\(672\) | 7.34305 | − | 2.21772i | 0.283264 | − | 0.0855503i | ||||
\(673\) | −19.4016 | + | 2.03919i | −0.747876 | + | 0.0786050i | −0.470796 | − | 0.882242i | \(-0.656033\pi\) |
−0.277080 | + | 0.960847i | \(0.589367\pi\) | |||||||
\(674\) | −48.8236 | −1.88061 | ||||||||
\(675\) | −25.6793 | − | 3.94631i | −0.988397 | − | 0.151894i | ||||
\(676\) | 11.0982 | 0.426856 | ||||||||
\(677\) | −6.63681 | + | 0.697557i | −0.255073 | + | 0.0268093i | −0.231202 | − | 0.972906i | \(-0.574266\pi\) |
−0.0238712 | + | 0.999715i | \(0.507599\pi\) | |||||||
\(678\) | 2.03717 | − | 0.615257i | 0.0782370 | − | 0.0236288i | ||||
\(679\) | −15.2101 | + | 3.23301i | −0.583712 | + | 0.124072i | ||||
\(680\) | −11.6181 | + | 1.30810i | −0.445535 | + | 0.0501632i | ||||
\(681\) | 15.0641 | − | 6.33397i | 0.577258 | − | 0.242718i | ||||
\(682\) | 48.2763 | + | 27.8724i | 1.84860 | + | 1.06729i | ||||
\(683\) | −29.1384 | + | 9.46764i | −1.11495 | + | 0.362269i | −0.807838 | − | 0.589405i | \(-0.799362\pi\) |
−0.307111 | + | 0.951674i | \(0.599362\pi\) | |||||||
\(684\) | −2.88329 | − | 1.43063i | −0.110246 | − | 0.0547016i | ||||
\(685\) | −4.55938 | + | 46.7009i | −0.174205 | + | 1.78435i | ||||
\(686\) | −2.35925 | − | 22.4467i | −0.0900764 | − | 0.857020i | ||||
\(687\) | −5.41665 | + | 2.97846i | −0.206658 | + | 0.113635i | ||||
\(688\) | −2.47386 | − | 0.260013i | −0.0943151 | − | 0.00991292i | ||||
\(689\) | −65.6536 | − | 29.2309i | −2.50120 | − | 1.11361i | ||||
\(690\) | −23.4808 | + | 39.4350i | −0.893900 | + | 1.50126i | ||||
\(691\) | 41.1455 | − | 18.3192i | 1.56525 | − | 0.696894i | 0.572817 | − | 0.819683i | \(-0.305850\pi\) |
0.992433 | + | 0.122789i | \(0.0391837\pi\) | |||||||
\(692\) | 14.3273 | − | 4.65522i | 0.544642 | − | 0.176965i | ||||
\(693\) | −2.63162 | − | 15.5421i | −0.0999670 | − | 0.590394i | ||||
\(694\) | −9.34147 | − | 28.7501i | −0.354597 | − | 1.09134i | ||||
\(695\) | 8.89999 | + | 12.0611i | 0.337596 | + | 0.457504i | ||||
\(696\) | 14.6129 | + | 3.42604i | 0.553901 | + | 0.129864i | ||||
\(697\) | 1.51788 | + | 7.14105i | 0.0574937 | + | 0.270487i | ||||
\(698\) | 20.2387 | − | 45.4568i | 0.766046 | − | 1.72057i | ||||
\(699\) | 21.1046 | − | 14.6709i | 0.798248 | − | 0.554904i | ||||
\(700\) | −0.918111 | − | 4.02552i | −0.0347013 | − | 0.152150i | ||||
\(701\) | −5.06319 | −0.191234 | −0.0956170 | − | 0.995418i | \(-0.530482\pi\) | ||||
−0.0956170 | + | 0.995418i | \(0.530482\pi\) | |||||||
\(702\) | −28.7710 | + | 34.7973i | −1.08589 | + | 1.31334i | ||||
\(703\) | −3.84588 | − | 1.24960i | −0.145050 | − | 0.0471296i | ||||
\(704\) | 9.56966 | + | 10.6282i | 0.360670 | + | 0.400565i | ||||
\(705\) | 18.9985 | − | 10.6305i | 0.715524 | − | 0.400370i | ||||
\(706\) | −16.6456 | + | 18.4868i | −0.626466 | + | 0.695761i | ||||
\(707\) | −4.54634 | + | 2.62483i | −0.170983 | + | 0.0987168i | ||||
\(708\) | 0.977032 | + | 2.32368i | 0.0367191 | + | 0.0873293i | ||||
\(709\) | −23.0612 | + | 10.2675i | −0.866083 | + | 0.385605i | −0.791178 | − | 0.611586i | \(-0.790532\pi\) |
−0.0749047 | + | 0.997191i | \(0.523865\pi\) | |||||||
\(710\) | 29.0459 | − | 32.7427i | 1.09007 | − | 1.22881i | ||||
\(711\) | −11.6890 | − | 2.99897i | −0.438370 | − | 0.112470i | ||||
\(712\) | −20.3890 | + | 28.0631i | −0.764111 | + | 1.05171i | ||||
\(713\) | −19.2127 | − | 43.1525i | −0.719522 | − | 1.61607i | ||||
\(714\) | 7.69067 | − | 1.46779i | 0.287816 | − | 0.0549307i | ||||
\(715\) | 28.8065 | − | 50.7579i | 1.07730 | − | 1.89824i | ||||
\(716\) | 0.741586 | − | 7.05572i | 0.0277144 | − | 0.263685i | ||||
\(717\) | 25.9494 | + | 3.27580i | 0.969097 | + | 0.122337i | ||||
\(718\) | 35.3576 | + | 20.4137i | 1.31953 | + | 0.761833i | ||||
\(719\) | −3.73536 | − | 11.4963i | −0.139306 | − | 0.428738i | 0.856929 | − | 0.515434i | \(-0.172369\pi\) |
−0.996235 | + | 0.0866955i | \(0.972369\pi\) | |||||||
\(720\) | −29.3401 | + | 15.6229i | −1.09344 | + | 0.582230i | ||||
\(721\) | −1.85278 | + | 5.70227i | −0.0690011 | + | 0.212364i | ||||
\(722\) | −21.2783 | + | 19.1591i | −0.791896 | + | 0.713026i | ||||
\(723\) | −0.0585782 | + | 0.0505725i | −0.00217854 | + | 0.00188081i | ||||
\(724\) | −5.51668 | − | 9.55516i | −0.205026 | − | 0.355115i | ||||
\(725\) | 6.31506 | − | 20.4611i | 0.234535 | − | 0.759907i | ||||
\(726\) | −33.6191 | + | 23.3704i | −1.24772 | + | 0.867357i | ||||
\(727\) | −31.5367 | + | 3.31464i | −1.16963 | + | 0.122933i | −0.669361 | − | 0.742937i | \(-0.733432\pi\) |
−0.500269 | + | 0.865870i | \(0.666765\pi\) | |||||||
\(728\) | 10.4907 | + | 3.40863i | 0.388810 | + | 0.126332i | ||||
\(729\) | −5.07361 | − | 26.5190i | −0.187912 | − | 0.982186i | ||||
\(730\) | −1.16970 | − | 5.30953i | −0.0432925 | − | 0.196514i | ||||
\(731\) | −1.26887 | − | 0.269706i | −0.0469308 | − | 0.00997545i | ||||
\(732\) | −8.45453 | − | 12.1621i | −0.312488 | − | 0.449525i | ||||
\(733\) | 33.9228 | + | 30.5442i | 1.25297 | + | 1.12818i | 0.986401 | + | 0.164359i | \(0.0525557\pi\) |
0.266566 | + | 0.963817i | \(0.414111\pi\) | |||||||
\(734\) | 4.14292 | − | 39.4173i | 0.152918 | − | 1.45492i | ||||
\(735\) | 6.77108 | + | 21.8346i | 0.249755 | + | 0.805381i | ||||
\(736\) | 3.13598 | + | 29.8368i | 0.115594 | + | 1.09980i | ||||
\(737\) | −3.56989 | + | 4.91353i | −0.131499 | + | 0.180992i | ||||
\(738\) | 7.83405 | + | 11.7866i | 0.288375 | + | 0.433870i | ||||
\(739\) | 30.6267 | − | 22.2516i | 1.12662 | − | 0.818538i | 0.141421 | − | 0.989950i | \(-0.454833\pi\) |
0.985200 | + | 0.171412i | \(0.0548328\pi\) | |||||||
\(740\) | 4.21356 | − | 3.10922i | 0.154893 | − | 0.114297i | ||||
\(741\) | −5.91116 | − | 10.7501i | −0.217152 | − | 0.394914i | ||||
\(742\) | 17.9533 | + | 16.1652i | 0.659087 | + | 0.593445i | ||||
\(743\) | 9.59806 | − | 5.54144i | 0.352119 | − | 0.203296i | −0.313499 | − | 0.949588i | \(-0.601501\pi\) |
0.665618 | + | 0.746293i | \(0.268168\pi\) | |||||||
\(744\) | 2.92150 | − | 23.1428i | 0.107107 | − | 0.848456i | ||||
\(745\) | 0.120326 | + | 16.2625i | 0.00440842 | + | 0.595810i | ||||
\(746\) | −9.25424 | + | 28.4816i | −0.338822 | + | 1.04279i | ||||
\(747\) | −0.849113 | − | 2.14349i | −0.0310674 | − | 0.0784261i | ||||
\(748\) | −6.00510 | − | 8.26531i | −0.219568 | − | 0.302210i | ||||
\(749\) | −2.03090 | + | 3.51763i | −0.0742076 | + | 0.128531i | ||||
\(750\) | 13.1917 | + | 29.5224i | 0.481695 | + | 1.07801i | ||||
\(751\) | 14.7550 | + | 25.5564i | 0.538417 | + | 0.932565i | 0.998990 | + | 0.0449433i | \(0.0143107\pi\) |
−0.460573 | + | 0.887622i | \(0.652356\pi\) | |||||||
\(752\) | 11.3290 | − | 25.4454i | 0.413127 | − | 0.927898i | ||||
\(753\) | 25.7556 | − | 7.77861i | 0.938587 | − | 0.283468i | ||||
\(754\) | −24.9009 | − | 27.6553i | −0.906838 | − | 1.00715i | ||||
\(755\) | 28.2598 | − | 16.5958i | 1.02848 | − | 0.603983i | ||||
\(756\) | 3.62228 | − | 2.30014i | 0.131741 | − | 0.0836552i | ||||
\(757\) | 27.7567i | 1.00883i | 0.863460 | + | 0.504417i | \(0.168293\pi\) | ||||
−0.863460 | + | 0.504417i | \(0.831707\pi\) | |||||||
\(758\) | 9.45774 | − | 44.4952i | 0.343520 | − | 1.61614i | ||||
\(759\) | 61.6395 | + | 1.28562i | 2.23737 | + | 0.0466649i | ||||
\(760\) | −0.689011 | − | 6.11960i | −0.0249931 | − | 0.221981i | ||||
\(761\) | 31.4195 | + | 13.9889i | 1.13896 | + | 0.507096i | 0.887516 | − | 0.460777i | \(-0.152429\pi\) |
0.251440 | + | 0.967873i | \(0.419096\pi\) | |||||||
\(762\) | −1.26689 | − | 0.767103i | −0.0458947 | − | 0.0277892i | ||||
\(763\) | −3.72231 | − | 8.36043i | −0.134757 | − | 0.302668i | ||||
\(764\) | −0.119790 | + | 0.0870322i | −0.00433384 | + | 0.00314872i | ||||
\(765\) | −16.0685 | + | 6.50328i | −0.580959 | + | 0.235126i | ||||
\(766\) | −6.23353 | − | 4.52892i | −0.225226 | − | 0.163637i | ||||
\(767\) | −1.99756 | + | 9.39779i | −0.0721278 | + | 0.339335i | ||||
\(768\) | −12.0668 | + | 25.6492i | −0.435422 | + | 0.925534i | ||||
\(769\) | 8.16868 | − | 9.07224i | 0.294570 | − | 0.327153i | −0.577633 | − | 0.816296i | \(-0.696024\pi\) |
0.872204 | + | 0.489143i | \(0.162690\pi\) | |||||||
\(770\) | −14.4822 | + | 13.2352i | −0.521903 | + | 0.476963i | ||||
\(771\) | 15.4036 | − | 16.4061i | 0.554746 | − | 0.590851i | ||||
\(772\) | −8.85434 | + | 7.97248i | −0.318675 | + | 0.286936i | ||||
\(773\) | 29.8261 | + | 41.0520i | 1.07277 | + | 1.47654i | 0.867241 | + | 0.497888i | \(0.165891\pi\) |
0.205527 | + | 0.978651i | \(0.434109\pi\) | |||||||
\(774\) | −2.47943 | + | 0.419824i | −0.0891214 | + | 0.0150903i | ||||
\(775\) | −32.6513 | − | 6.43680i | −1.17287 | − | 0.231217i | ||||
\(776\) | 15.0169 | − | 26.0100i | 0.539074 | − | 0.933703i | ||||
\(777\) | 4.08048 | − | 3.52282i | 0.146387 | − | 0.126380i | ||||
\(778\) | −6.45102 | − | 30.3497i | −0.231280 | − | 1.08809i | ||||
\(779\) | −3.76139 | + | 0.799509i | −0.134766 | + | 0.0286454i | ||||
\(780\) | 15.7758 | + | 1.87303i | 0.564865 | + | 0.0670653i | ||||
\(781\) | −57.5109 | − | 12.2243i | −2.05790 | − | 0.437421i | ||||
\(782\) | 30.6225i | 1.09506i | ||||||||
\(783\) | 22.2338 | − | 0.937883i | 0.794570 | − | 0.0335172i | ||||
\(784\) | 23.6621 | + | 17.1915i | 0.845075 | + | 0.613983i | ||||
\(785\) | −7.83533 | + | 0.0579739i | −0.279655 | + | 0.00206918i | ||||
\(786\) | 20.2404 | − | 58.1394i | 0.721951 | − | 2.07376i | ||||
\(787\) | 13.4754 | + | 1.41632i | 0.480345 | + | 0.0504863i | 0.341607 | − | 0.939843i | \(-0.389029\pi\) |
0.138738 | + | 0.990329i | \(0.455695\pi\) | |||||||
\(788\) | 12.4254 | + | 1.30596i | 0.442637 | + | 0.0465230i | ||||
\(789\) | −26.7419 | − | 30.9752i | −0.952038 | − | 1.10275i | ||||
\(790\) | 4.74677 | + | 14.2494i | 0.168882 | + | 0.506972i | ||||
\(791\) | −0.623606 | − | 0.453077i | −0.0221729 | − | 0.0161095i | ||||
\(792\) | 25.7092 | + | 16.3090i | 0.913535 | + | 0.579517i | ||||
\(793\) | − | 56.4560i | − | 2.00481i | ||||||
\(794\) | 4.55645 | + | 0.968504i | 0.161703 | + | 0.0343709i | ||||
\(795\) | −45.9576 | − | 27.3646i | −1.62995 | − | 0.970523i | ||||
\(796\) | 5.22962 | − | 1.11159i | 0.185359 | − | 0.0393992i | ||||
\(797\) | 5.96671 | + | 28.0712i | 0.211352 | + | 0.994332i | 0.948053 | + | 0.318113i | \(0.103049\pi\) |
−0.736701 | + | 0.676219i | \(0.763617\pi\) | |||||||
\(798\) | 0.773127 | + | 4.05090i | 0.0273684 | + | 0.143400i | ||||
\(799\) | 7.26273 | − | 12.5794i | 0.256937 | − | 0.445028i | ||||
\(800\) | 18.4595 | + | 10.2965i | 0.652643 | + | 0.364035i | ||||
\(801\) | −17.9186 | + | 48.2081i | −0.633121 | + | 1.70335i | ||||
\(802\) | 0.699582 | + | 0.962892i | 0.0247031 | + | 0.0340009i | ||||
\(803\) | −5.42746 | + | 4.88691i | −0.191531 | + | 0.172455i | ||||
\(804\) | −1.60959 | − | 0.377372i | −0.0567658 | − | 0.0133089i | ||||
\(805\) | 16.5201 | − | 1.86001i | 0.582257 | − | 0.0655568i | ||||
\(806\) | −38.6997 | + | 42.9804i | −1.36314 | + | 1.51392i | ||||
\(807\) | −10.6777 | − | 15.3602i | −0.375872 | − | 0.540705i | ||||
\(808\) | 2.10809 | − | 9.91781i | 0.0741625 | − | 0.348907i | ||||
\(809\) | 2.62525 | + | 1.90736i | 0.0922989 | + | 0.0670591i | 0.632978 | − | 0.774170i | \(-0.281833\pi\) |
−0.540679 | + | 0.841229i | \(0.681833\pi\) | |||||||
\(810\) | −24.3172 | + | 23.1930i | −0.854419 | + | 0.814920i | ||||
\(811\) | 4.01621 | − | 2.91795i | 0.141028 | − | 0.102463i | −0.515034 | − | 0.857170i | \(-0.672221\pi\) |
0.656062 | + | 0.754707i | \(0.272221\pi\) | |||||||
\(812\) | 1.43845 | + | 3.23080i | 0.0504796 | + | 0.113379i | ||||
\(813\) | 0.501401 | − | 24.0399i | 0.0175849 | − | 0.843117i | ||||
\(814\) | −22.7310 | − | 10.1205i | −0.796719 | − | 0.354722i | ||||
\(815\) | 21.3476 | − | 9.69445i | 0.747774 | − | 0.339582i | ||||
\(816\) | −11.4872 | + | 18.9715i | −0.402133 | + | 0.664136i | ||||
\(817\) | 0.142062 | − | 0.668349i | 0.00497012 | − | 0.0233826i | ||||
\(818\) | − | 13.8005i | − | 0.482524i | ||||||
\(819\) | 16.3404 | + | 0.681920i | 0.570979 | + | 0.0238282i | ||||
\(820\) | 1.99169 | − | 4.56400i | 0.0695530 | − | 0.159382i | ||||
\(821\) | 27.1215 | + | 30.1215i | 0.946547 | + | 1.05125i | 0.998615 | + | 0.0526037i | \(0.0167520\pi\) |
−0.0520682 | + | 0.998644i | \(0.516581\pi\) | |||||||
\(822\) | 44.2458 | + | 41.5421i | 1.54325 | + | 1.44895i | ||||
\(823\) | −11.6246 | + | 26.1092i | −0.405207 | + | 0.910110i | 0.589539 | + | 0.807740i | \(0.299309\pi\) |
−0.994746 | + | 0.102370i | \(0.967357\pi\) | |||||||
\(824\) | −5.79018 | − | 10.0289i | −0.201710 | − | 0.349373i | ||||
\(825\) | 25.7439 | − | 34.9859i | 0.896287 | − | 1.21805i | ||||
\(826\) | 1.61486 | − | 2.79702i | 0.0561881 | − | 0.0973207i | ||||
\(827\) | −25.9315 | − | 35.6917i | −0.901728 | − | 1.24112i | −0.969914 | − | 0.243449i | \(-0.921721\pi\) |
0.0681858 | − | 0.997673i | \(-0.478279\pi\) | |||||||
\(828\) | 6.18079 | + | 15.6027i | 0.214797 | + | 0.542231i | ||||
\(829\) | −9.82498 | + | 30.2382i | −0.341236 | + | 1.05022i | 0.622333 | + | 0.782753i | \(0.286185\pi\) |
−0.963568 | + | 0.267463i | \(0.913815\pi\) | |||||||
\(830\) | −1.66941 | + | 2.33387i | −0.0579462 | + | 0.0810099i | ||||
\(831\) | 52.2909 | − | 21.9866i | 1.81395 | − | 0.762707i | ||||
\(832\) | −12.8502 | + | 7.41906i | −0.445500 | + | 0.257210i | ||||
\(833\) | 11.3350 | + | 10.2060i | 0.392733 | + | 0.353618i | ||||
\(834\) | 19.3834 | + | 0.404279i | 0.671191 | + | 0.0139990i | ||||
\(835\) | 3.99681 | + | 11.9981i | 0.138315 | + | 0.415212i | ||||
\(836\) | 4.35357 | − | 3.16306i | 0.150572 | − | 0.109397i | ||||
\(837\) | −5.06156 | − | 34.2129i | −0.174953 | − | 1.18257i | ||||
\(838\) | −15.4887 | + | 21.3184i | −0.535049 | + | 0.736431i | ||||
\(839\) | 0.723320 | + | 6.88193i | 0.0249718 | + | 0.237591i | 0.999887 | + | 0.0150153i | \(0.00477968\pi\) |
−0.974915 | + | 0.222575i | \(0.928554\pi\) | |||||||
\(840\) | 7.45423 | + | 3.43975i | 0.257195 | + | 0.118683i | ||||
\(841\) | 1.11412 | − | 10.6001i | 0.0384178 | − | 0.365521i | ||||
\(842\) | −2.19263 | − | 1.97425i | −0.0755629 | − | 0.0680372i | ||||
\(843\) | 17.7386 | − | 1.49116i | 0.610949 | − | 0.0513582i | ||||
\(844\) | 2.24373 | + | 0.476920i | 0.0772325 | + | 0.0164163i | ||||
\(845\) | 23.5515 | + | 20.8925i | 0.810198 | + | 0.718723i | ||||
\(846\) | 4.10845 | − | 27.8571i | 0.141252 | − | 0.957746i | ||||
\(847\) | 14.1049 | + | 4.58295i | 0.484649 | + | 0.157472i | ||||
\(848\) | −68.0581 | + | 7.15319i | −2.33712 | + | 0.245642i | ||||
\(849\) | −6.16329 | − | 2.89955i | −0.211523 | − | 0.0995122i | ||||
\(850\) | 17.6400 | + | 12.4216i | 0.605048 | + | 0.426058i | ||||
\(851\) | 10.5422 | + | 18.2595i | 0.361380 | + | 0.625929i | ||||
\(852\) | −3.00037 | − | 15.7208i | −0.102791 | − | 0.538586i | ||||
\(853\) | −15.1675 | + | 13.6569i | −0.519325 | + | 0.467602i | −0.886618 | − | 0.462503i | \(-0.846951\pi\) |
0.367293 | + | 0.930105i | \(0.380285\pi\) | |||||||
\(854\) | −5.86456 | + | 18.0493i | −0.200681 | + | 0.617633i | ||||
\(855\) | −3.42546 | − | 8.46375i | −0.117148 | − | 0.289454i | ||||
\(856\) | −2.42428 | − | 7.46116i | −0.0828601 | − | 0.255017i | ||||
\(857\) | 22.6641 | + | 13.0851i | 0.774190 | + | 0.446979i | 0.834367 | − | 0.551209i | \(-0.185833\pi\) |
−0.0601773 | + | 0.998188i | \(0.519167\pi\) | |||||||
\(858\) | −29.2588 | − | 69.5865i | −0.998881 | − | 2.37564i | ||||
\(859\) | 3.10459 | − | 29.5382i | 0.105927 | − | 1.00783i | −0.804442 | − | 0.594032i | \(-0.797535\pi\) |
0.910369 | − | 0.413798i | \(-0.135798\pi\) | |||||||
\(860\) | 0.596907 | + | 0.653149i | 0.0203544 | + | 0.0222722i | ||||
\(861\) | 1.68545 | − | 4.84135i | 0.0574399 | − | 0.164993i | ||||
\(862\) | −23.7360 | − | 53.3119i | −0.808451 | − | 1.81581i | ||||
\(863\) | 19.7908 | − | 27.2397i | 0.673687 | − | 0.927251i | −0.326150 | − | 0.945318i | \(-0.605751\pi\) |
0.999837 | + | 0.0180675i | \(0.00575137\pi\) | |||||||
\(864\) | −3.65743 | + | 21.6596i | −0.124428 | + | 0.736873i | ||||
\(865\) | 39.1674 | + | 17.0923i | 1.33173 | + | 0.581157i | ||||
\(866\) | 16.8414 | − | 7.49825i | 0.572292 | − | 0.254801i | ||||
\(867\) | 10.8083 | − | 14.2421i | 0.367071 | − | 0.483688i | ||||
\(868\) | 4.75996 | − | 2.74817i | 0.161564 | − | 0.0932788i | ||||
\(869\) | 13.5001 | − | 14.9933i | 0.457959 | − | 0.508615i | ||||
\(870\) | −15.9768 | − | 22.6242i | −0.541664 | − | 0.767031i | ||||
\(871\) | −4.21638 | − | 4.68277i | −0.142867 | − | 0.158670i | ||||
\(872\) | 16.8107 | + | 5.46212i | 0.569282 | + | 0.184971i | ||||
\(873\) | 11.0664 | − | 43.1329i | 0.374540 | − | 1.45983i | ||||
\(874\) | −16.1297 | −0.545596 | ||||||||
\(875\) | 5.62972 | − | 10.2709i | 0.190319 | − | 0.347219i | ||||
\(876\) | −1.79889 | − | 0.846298i | −0.0607790 | − | 0.0285937i | ||||
\(877\) | 22.2232 | − | 49.9142i | 0.750426 | − | 1.68548i | 0.0225776 | − | 0.999745i | \(-0.492813\pi\) |
0.727848 | − | 0.685738i | \(-0.240521\pi\) | |||||||
\(878\) | −3.63001 | − | 17.0779i | −0.122507 | − | 0.576350i | ||||
\(879\) | −3.72821 | + | 3.97086i | −0.125749 | + | 0.133934i | ||||
\(880\) | −0.411181 | − | 55.5723i | −0.0138609 | − | 1.87334i | ||||
\(881\) | 6.86980 | + | 21.1431i | 0.231449 | + | 0.712328i | 0.997573 | + | 0.0696342i | \(0.0221832\pi\) |
−0.766123 | + | 0.642694i | \(0.777817\pi\) | |||||||
\(882\) | 27.7156 | + | 10.3017i | 0.933233 | + | 0.346875i | ||||
\(883\) | −23.1899 | + | 7.53485i | −0.780401 | + | 0.253568i | −0.672012 | − | 0.740541i | \(-0.734569\pi\) |
−0.108390 | + | 0.994108i | \(0.534569\pi\) | |||||||
\(884\) | 9.68334 | − | 4.31130i | 0.325686 | − | 0.145005i | ||||
\(885\) | −2.30098 | + | 6.77034i | −0.0773465 | + | 0.227582i | ||||
\(886\) | −6.49284 | − | 2.89080i | −0.218131 | − | 0.0971183i | ||||
\(887\) | −45.7513 | − | 4.80865i | −1.53618 | − | 0.161459i | −0.701689 | − | 0.712483i | \(-0.747570\pi\) |
−0.834489 | + | 0.551025i | \(0.814237\pi\) | |||||||
\(888\) | −0.217115 | + | 10.4097i | −0.00728591 | + | 0.349327i | ||||
\(889\) | 0.0560753 | + | 0.533521i | 0.00188070 | + | 0.0178937i | ||||
\(890\) | 62.5114 | − | 13.7714i | 2.09539 | − | 0.461618i | ||||
\(891\) | 43.2190 | + | 13.0316i | 1.44789 | + | 0.436575i | ||||
\(892\) | 6.63314 | − | 2.15524i | 0.222094 | − | 0.0721627i | ||||
\(893\) | 6.62593 | + | 3.82548i | 0.221728 | + | 0.128015i | ||||
\(894\) | 16.7560 | + | 12.7162i | 0.560406 | + | 0.425292i | ||||
\(895\) | 14.8561 | − | 13.5769i | 0.496585 | − | 0.453825i | ||||
\(896\) | 13.5427 | − | 2.87859i | 0.452429 | − | 0.0961668i | ||||
\(897\) | −14.6010 | + | 62.2769i | −0.487514 | + | 2.07937i | ||||
\(898\) | −35.4073 | + | 3.72146i | −1.18156 | + | 0.124187i | ||||
\(899\) | 28.5054 | 0.950709 | ||||||||
\(900\) | 11.4951 | + | 2.76860i | 0.383169 | + | 0.0922867i | ||||
\(901\) | −35.6875 | −1.18892 | ||||||||
\(902\) | −23.5319 | + | 2.47330i | −0.783526 | + | 0.0823519i | ||||
\(903\) | 0.664060 | + | 0.623482i | 0.0220985 | + | 0.0207482i | ||||
\(904\) | 1.45626 | − | 0.309537i | 0.0484343 | − | 0.0102950i | ||||
\(905\) | 6.28069 | − | 30.6621i | 0.208777 | − | 1.01924i | ||||
\(906\) | 5.30895 | − | 42.0551i | 0.176378 | − | 1.39719i | ||||
\(907\) | 14.3340 | + | 8.27574i | 0.475952 | + | 0.274791i | 0.718728 | − | 0.695291i | \(-0.244725\pi\) |
−0.242776 | + | 0.970082i | \(0.578058\pi\) | |||||||
\(908\) | −7.07301 | + | 2.29816i | −0.234726 | + | 0.0762672i | ||||
\(909\) | −0.946648 | − | 15.0035i | −0.0313983 | − | 0.497633i | ||||
\(910\) | −10.3076 | − | 17.5521i | −0.341694 | − | 0.581847i | ||||
\(911\) | 0.424712 | + | 4.04087i | 0.0140714 | + | 0.133880i | 0.999302 | − | 0.0373514i | \(-0.0118921\pi\) |
−0.985231 | + | 0.171231i | \(0.945225\pi\) | |||||||
\(912\) | −9.99284 | − | 6.05065i | −0.330896 | − | 0.200357i | ||||
\(913\) | 3.83349 | + | 0.402916i | 0.126870 | + | 0.0133346i | ||||
\(914\) | 42.0397 | + | 18.7173i | 1.39055 | + | 0.619113i | ||||
\(915\) | 4.95391 | − | 41.7249i | 0.163771 | − | 1.37938i | ||||
\(916\) | 2.56999 | − | 1.14423i | 0.0849148 | − | 0.0378065i | ||||
\(917\) | −21.2075 | + | 6.89073i | −0.700333 | + | 0.227552i | ||||
\(918\) | −6.02365 | + | 21.5968i | −0.198810 | + | 0.712800i | ||||
\(919\) | 9.59939 | + | 29.5439i | 0.316655 | + | 0.974563i | 0.975068 | + | 0.221906i | \(0.0712279\pi\) |
−0.658413 | + | 0.752657i | \(0.728772\pi\) | |||||||
\(920\) | −18.6806 | + | 26.1158i | −0.615880 | + | 0.861012i | ||||
\(921\) | 7.06336 | + | 23.3874i | 0.232746 | + | 0.770641i | ||||
\(922\) | 9.68273 | + | 45.5536i | 0.318884 | + | 1.50023i | ||||
\(923\) | 24.8115 | − | 55.7274i | 0.816679 | − | 1.83429i | ||||
\(924\) | 0.600934 | + | 7.14862i | 0.0197693 | + | 0.235172i | ||||
\(925\) | 14.7947 | + | 1.33396i | 0.486446 | + | 0.0438605i | ||||
\(926\) | −3.22453 | −0.105965 | ||||||||
\(927\) | −12.2695 | − | 12.0109i | −0.402983 | − | 0.394488i | ||||
\(928\) | −17.2185 | − | 5.59464i | −0.565226 | − | 0.183653i | ||||
\(929\) | 10.7178 | + | 11.9033i | 0.351640 | + | 0.390536i | 0.892852 | − | 0.450351i | \(-0.148701\pi\) |
−0.541212 | + | 0.840886i | \(0.682034\pi\) | |||||||
\(930\) | −32.3732 | + | 28.3696i | −1.06156 | + | 0.930277i | ||||
\(931\) | −5.37581 | + | 5.97044i | −0.176185 | + | 0.195673i | ||||
\(932\) | −10.1302 | + | 5.84866i | −0.331825 | + | 0.191579i | ||||
\(933\) | −38.5332 | − | 4.86435i | −1.26152 | − | 0.159252i | ||||
\(934\) | 48.7242 | − | 21.6934i | 1.59430 | − | 0.709830i | ||||
\(935\) | 2.81606 | − | 28.8444i | 0.0920950 | − | 0.943313i | ||||
\(936\) | −22.0968 | + | 22.5726i | −0.722257 | + | 0.737810i | ||||
\(937\) | −8.05137 | + | 11.0818i | −0.263027 | + | 0.362025i | −0.920020 | − | 0.391871i | \(-0.871828\pi\) |
0.656993 | + | 0.753896i | \(0.271828\pi\) | |||||||
\(938\) | 0.861560 | + | 1.93510i | 0.0281309 | + | 0.0631831i | ||||
\(939\) | 15.3635 | + | 17.7956i | 0.501370 | + | 0.580737i | ||||
\(940\) | −9.02104 | + | 4.09667i | −0.294234 | + | 0.133619i | ||||
\(941\) | −5.19170 | + | 49.3957i | −0.169244 | + | 1.61025i | 0.499197 | + | 0.866489i | \(0.333628\pi\) |
−0.668441 | + | 0.743765i | \(0.733038\pi\) | |||||||
\(942\) | −6.12671 | + | 8.07315i | −0.199619 | + | 0.263037i | ||||
\(943\) | 17.3638 | + | 10.0250i | 0.565443 | + | 0.326459i | ||||
\(944\) | 2.82710 | + | 8.70092i | 0.0920142 | + | 0.283191i | ||||
\(945\) | 12.0168 | + | 1.93783i | 0.390908 | + | 0.0630375i | ||||
\(946\) | 1.29921 | − | 3.99856i | 0.0422410 | − | 0.130004i | ||||
\(947\) | 13.4147 | − | 12.0787i | 0.435919 | − | 0.392504i | −0.421744 | − | 0.906715i | \(-0.638582\pi\) |
0.857664 | + | 0.514211i | \(0.171915\pi\) | |||||||
\(948\) | 5.18659 | + | 1.80564i | 0.168453 | + | 0.0586444i | ||||
\(949\) | −3.78867 | − | 6.56217i | −0.122985 | − | 0.213017i | ||||
\(950\) | −6.54282 | + | 9.29151i | −0.212277 | + | 0.301456i | ||||
\(951\) | 1.23238 | + | 14.6601i | 0.0399625 | + | 0.475388i | ||||
\(952\) | 5.44753 | − | 0.572558i | 0.176555 | − | 0.0185567i | ||||
\(953\) | −0.946134 | − | 0.307417i | −0.0306483 | − | 0.00995823i | 0.293653 | − | 0.955912i | \(-0.405129\pi\) |
−0.324301 | + | 0.945954i | \(0.605129\pi\) | |||||||
\(954\) | −64.3194 | + | 25.4793i | −2.08242 | + | 0.824921i | ||||
\(955\) | −0.418043 | − | 0.0408133i | −0.0135276 | − | 0.00132069i | ||||
\(956\) | −11.6431 | − | 2.47482i | −0.376565 | − | 0.0800414i | ||||
\(957\) | −15.8383 | + | 33.6659i | −0.511978 | + | 1.08826i | ||||
\(958\) | 40.0275 | + | 36.0409i | 1.29323 | + | 1.16443i | ||||
\(959\) | 2.29791 | − | 21.8631i | 0.0742033 | − | 0.705997i | ||||
\(960\) | −10.1482 | + | 4.35562i | −0.327531 | + | 0.140577i | ||||
\(961\) | −1.39040 | − | 13.2288i | −0.0448516 | − | 0.426735i | ||||
\(962\) | 15.1740 | − | 20.8852i | 0.489229 | − | 0.673365i | ||||
\(963\) | −6.43862 | − | 9.68713i | −0.207482 | − | 0.312163i | ||||
\(964\) | 0.0284930 | − | 0.0207014i | 0.000917699 | − | 0.000666747i | ||||
\(965\) | −33.7980 | + | 0.250072i | −1.08800 | + | 0.00805011i | ||||
\(966\) | 11.1372 | − | 18.3935i | 0.358335 | − | 0.591802i | ||||
\(967\) | −0.332935 | − | 0.299776i | −0.0107065 | − | 0.00964014i | 0.663760 | − | 0.747946i | \(-0.268960\pi\) |
−0.674466 | + | 0.738305i | \(0.735626\pi\) | |||||||
\(968\) | −24.8070 | + | 14.3223i | −0.797326 | + | 0.460337i | ||||
\(969\) | −4.85285 | − | 3.68282i | −0.155896 | − | 0.118309i | ||||
\(970\) | −52.5813 | + | 17.5158i | −1.68828 | + | 0.562400i | ||||
\(971\) | −0.744588 | + | 2.29161i | −0.0238950 | + | 0.0735411i | −0.962293 | − | 0.272015i | \(-0.912310\pi\) |
0.938398 | + | 0.345557i | \(0.112310\pi\) | |||||||
\(972\) | 1.28990 | + | 12.2197i | 0.0413737 | + | 0.391948i | ||||
\(973\) | −4.12775 | − | 5.68136i | −0.132330 | − | 0.182136i | ||||
\(974\) | −20.7844 | + | 35.9996i | −0.665975 | + | 1.15350i | ||||
\(975\) | 29.9518 | + | 33.6728i | 0.959226 | + | 1.07839i | ||||
\(976\) | −26.8792 | − | 46.5562i | −0.860384 | − | 1.49023i | ||||
\(977\) | −13.2366 | + | 29.7299i | −0.423476 | + | 0.951142i | 0.568260 | + | 0.822849i | \(0.307617\pi\) |
−0.991736 | + | 0.128294i | \(0.959050\pi\) | |||||||
\(978\) | 6.92216 | − | 29.5247i | 0.221346 | − | 0.944097i | ||||
\(979\) | −57.5358 | − | 63.9000i | −1.83885 | − | 2.04225i | ||||
\(980\) | −2.23828 | − | 10.1601i | −0.0714994 | − | 0.324552i | ||||
\(981\) | 26.1845 | + | 1.09274i | 0.836007 | + | 0.0348884i | ||||
\(982\) | 2.17473i | 0.0693983i | ||||||||
\(983\) | 6.11836 | − | 28.7846i | 0.195145 | − | 0.918087i | −0.766170 | − | 0.642638i | \(-0.777840\pi\) |
0.961316 | − | 0.275449i | \(-0.0888266\pi\) | |||||||
\(984\) | 4.77072 | + | 8.67606i | 0.152085 | + | 0.276583i | ||||
\(985\) | 23.9094 | + | 26.1622i | 0.761818 | + | 0.833598i | ||||
\(986\) | −16.8819 | − | 7.51633i | −0.537631 | − | 0.239369i | ||||
\(987\) | −8.93746 | + | 4.91446i | −0.284482 | + | 0.156429i | ||||
\(988\) | 2.27088 | + | 5.10049i | 0.0722464 | + | 0.162268i | ||||
\(989\) | −2.88222 | + | 2.09405i | −0.0916491 | + | 0.0665870i | ||||
\(990\) | −15.5182 | − | 53.9967i | −0.493201 | − | 1.71613i | ||||
\(991\) | −28.0855 | − | 20.4053i | −0.892166 | − | 0.648196i | 0.0442761 | − | 0.999019i | \(-0.485902\pi\) |
−0.936442 | + | 0.350823i | \(0.885902\pi\) | |||||||
\(992\) | −5.85008 | + | 27.5224i | −0.185740 | + | 0.873838i | ||||
\(993\) | −35.7483 | + | 3.00511i | −1.13444 | + | 0.0953641i | ||||
\(994\) | −13.7212 | + | 15.2390i | −0.435211 | + | 0.483351i | ||||
\(995\) | 13.1903 | + | 7.48586i | 0.418161 | + | 0.237318i | ||||
\(996\) | 0.303356 | + | 1.00444i | 0.00961221 | + | 0.0318268i | ||||
\(997\) | 37.5854 | − | 33.8421i | 1.19034 | − | 1.07179i | 0.194482 | − | 0.980906i | \(-0.437698\pi\) |
0.995862 | − | 0.0908836i | \(-0.0289691\pi\) | |||||||
\(998\) | 15.8267 | + | 21.7835i | 0.500984 | + | 0.689546i | ||||
\(999\) | 3.84317 | + | 14.9514i | 0.121593 | + | 0.473042i |
(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 | 225.2.u.a.214.8 | yes | 224 | |
3.2 | odd | 2 | 675.2.y.a.289.21 | 224 | |||
9.4 | even | 3 | inner | 225.2.u.a.139.21 | yes | 224 | |
9.5 | odd | 6 | 675.2.y.a.64.8 | 224 | |||
25.9 | even | 10 | inner | 225.2.u.a.34.21 | ✓ | 224 | |
75.59 | odd | 10 | 675.2.y.a.559.8 | 224 | |||
225.59 | odd | 30 | 675.2.y.a.334.21 | 224 | |||
225.184 | even | 30 | inner | 225.2.u.a.184.8 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.u.a.34.21 | ✓ | 224 | 25.9 | even | 10 | inner | |
225.2.u.a.139.21 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.u.a.184.8 | yes | 224 | 225.184 | even | 30 | inner | |
225.2.u.a.214.8 | yes | 224 | 1.1 | even | 1 | trivial | |
675.2.y.a.64.8 | 224 | 9.5 | odd | 6 | |||
675.2.y.a.289.21 | 224 | 3.2 | odd | 2 | |||
675.2.y.a.334.21 | 224 | 225.59 | odd | 30 | |||
675.2.y.a.559.8 | 224 | 75.59 | odd | 10 |