Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [304,2,Mod(3,304)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(304, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("304.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 304 = 2^{4} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 304.bg (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.42745222145\) |
Analytic rank: | \(0\) |
Dimension: | \(456\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 304.3 |
Dual form | 304.2.bg.a.203.17 |
$q$-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 \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(191\) | \(229\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.372821 | − | 1.36419i | −0.263625 | − | 0.964625i | ||||
\(3\) | 2.26327 | + | 1.05538i | 1.30670 | + | 0.609324i | 0.946244 | − | 0.323452i | \(-0.104844\pi\) |
0.360455 | + | 0.932777i | \(0.382621\pi\) | |||||||
\(4\) | −1.72201 | + | 1.01720i | −0.861004 | + | 0.508598i | ||||
\(5\) | 2.33412 | + | 3.33347i | 1.04385 | + | 1.49078i | 0.861643 | + | 0.507515i | \(0.169436\pi\) |
0.182209 | + | 0.983260i | \(0.441675\pi\) | |||||||
\(6\) | 0.595940 | − | 3.48099i | 0.243291 | − | 1.42111i | ||||
\(7\) | −1.68527 | − | 2.91898i | −0.636973 | − | 1.10327i | −0.986094 | − | 0.166191i | \(-0.946853\pi\) |
0.349121 | − | 0.937078i | \(-0.386480\pi\) | |||||||
\(8\) | 2.02965 | + | 1.96991i | 0.717588 | + | 0.696468i | ||||
\(9\) | 2.08020 | + | 2.47909i | 0.693401 | + | 0.826363i | ||||
\(10\) | 3.67727 | − | 4.42697i | 1.16285 | − | 1.39993i | ||||
\(11\) | −4.07347 | + | 1.09148i | −1.22820 | + | 0.329094i | −0.813877 | − | 0.581037i | \(-0.802647\pi\) |
−0.414320 | + | 0.910131i | \(0.635980\pi\) | |||||||
\(12\) | −4.97090 | + | 0.484815i | −1.43497 | + | 0.139954i | ||||
\(13\) | 2.73157 | − | 1.27375i | 0.757602 | − | 0.353275i | −0.00513313 | − | 0.999987i | \(-0.501634\pi\) |
0.762735 | + | 0.646711i | \(0.223856\pi\) | |||||||
\(14\) | −3.35372 | + | 3.38728i | −0.896320 | + | 0.905289i | ||||
\(15\) | 1.76467 | + | 10.0079i | 0.455636 | + | 2.58404i | ||||
\(16\) | 1.93063 | − | 3.50324i | 0.482657 | − | 0.875810i | ||||
\(17\) | 2.69653 | + | 2.26266i | 0.654005 | + | 0.548776i | 0.908283 | − | 0.418356i | \(-0.137393\pi\) |
−0.254278 | + | 0.967131i | \(0.581838\pi\) | |||||||
\(18\) | 2.60639 | − | 3.76204i | 0.614333 | − | 0.886721i | ||||
\(19\) | 4.35187 | + | 0.247357i | 0.998389 | + | 0.0567475i | ||||
\(20\) | −7.41018 | − | 3.36601i | −1.65697 | − | 0.752663i | ||||
\(21\) | −0.733595 | − | 8.38503i | −0.160084 | − | 1.82976i | ||||
\(22\) | 3.00766 | + | 5.15004i | 0.641236 | + | 1.09799i | ||||
\(23\) | 0.469826 | + | 2.66452i | 0.0979655 | + | 0.555590i | 0.993798 | + | 0.111199i | \(0.0354690\pi\) |
−0.895833 | + | 0.444392i | \(0.853420\pi\) | |||||||
\(24\) | 2.51464 | + | 6.60048i | 0.513298 | + | 1.34732i | ||||
\(25\) | −3.95382 | + | 10.8630i | −0.790763 | + | 2.17260i | ||||
\(26\) | −2.75602 | − | 3.25149i | −0.540501 | − | 0.637670i | ||||
\(27\) | 0.152677 | + | 0.569798i | 0.0293827 | + | 0.109658i | ||||
\(28\) | 5.87122 | + | 3.31225i | 1.10956 | + | 0.625956i | ||||
\(29\) | 0.336591 | − | 3.84726i | 0.0625035 | − | 0.714418i | −0.898698 | − | 0.438569i | \(-0.855485\pi\) |
0.961201 | − | 0.275849i | \(-0.0889589\pi\) | |||||||
\(30\) | 12.9948 | − | 6.13851i | 2.37251 | − | 1.12073i | ||||
\(31\) | −4.63670 | − | 8.03099i | −0.832775 | − | 1.44241i | −0.895829 | − | 0.444399i | \(-0.853417\pi\) |
0.0630539 | − | 0.998010i | \(-0.479916\pi\) | |||||||
\(32\) | −5.49885 | − | 1.32765i | −0.972068 | − | 0.234698i | ||||
\(33\) | −10.3713 | − | 1.82874i | −1.80541 | − | 0.318342i | ||||
\(34\) | 2.08136 | − | 4.52214i | 0.356951 | − | 0.775541i | ||||
\(35\) | 5.79670 | − | 12.4311i | 0.979821 | − | 2.10123i | ||||
\(36\) | −6.10384 | − | 2.15304i | −1.01731 | − | 0.358840i | ||||
\(37\) | −5.99723 | − | 5.99723i | −0.985939 | − | 0.985939i | 0.0139634 | − | 0.999903i | \(-0.495555\pi\) |
−0.999903 | + | 0.0139634i | \(0.995555\pi\) | |||||||
\(38\) | −1.28503 | − | 6.02899i | −0.208460 | − | 0.978031i | ||||
\(39\) | 7.52658 | 1.20522 | ||||||||
\(40\) | −1.82919 | + | 11.3638i | −0.289221 | + | 1.79677i | ||||
\(41\) | −2.68621 | + | 0.977700i | −0.419515 | + | 0.152691i | −0.543148 | − | 0.839637i | \(-0.682768\pi\) |
0.123633 | + | 0.992328i | \(0.460546\pi\) | |||||||
\(42\) | −11.1652 | + | 4.12688i | −1.72283 | + | 0.636791i | ||||
\(43\) | −2.52287 | + | 1.76653i | −0.384733 | + | 0.269393i | −0.749903 | − | 0.661548i | \(-0.769900\pi\) |
0.365170 | + | 0.930941i | \(0.381011\pi\) | |||||||
\(44\) | 5.90430 | − | 6.02306i | 0.890106 | − | 0.908010i | ||||
\(45\) | −3.40853 | + | 12.7208i | −0.508113 | + | 1.89630i | ||||
\(46\) | 3.45974 | − | 1.63432i | 0.510110 | − | 0.240967i | ||||
\(47\) | −1.33546 | − | 1.59154i | −0.194797 | − | 0.232150i | 0.659801 | − | 0.751441i | \(-0.270641\pi\) |
−0.854598 | + | 0.519290i | \(0.826196\pi\) | |||||||
\(48\) | 8.06678 | − | 5.89123i | 1.16434 | − | 0.850326i | ||||
\(49\) | −2.18028 | + | 3.77635i | −0.311468 | + | 0.539479i | ||||
\(50\) | 16.2933 | + | 1.34378i | 2.30421 | + | 0.190039i | ||||
\(51\) | 3.71502 | + | 7.96688i | 0.520206 | + | 1.11559i | ||||
\(52\) | −3.40813 | + | 4.97196i | −0.472623 | + | 0.689486i | ||||
\(53\) | 2.79219 | − | 3.98766i | 0.383536 | − | 0.547747i | −0.580244 | − | 0.814442i | \(-0.697043\pi\) |
0.963781 | + | 0.266696i | \(0.0859319\pi\) | |||||||
\(54\) | 0.720389 | − | 0.420712i | 0.0980325 | − | 0.0572517i | ||||
\(55\) | −13.1464 | − | 11.0311i | −1.77266 | − | 1.48744i | ||||
\(56\) | 2.32961 | − | 9.24432i | 0.311307 | − | 1.23532i | ||||
\(57\) | 9.58841 | + | 5.15272i | 1.27002 | + | 0.682494i | ||||
\(58\) | −5.37387 | + | 0.975167i | −0.705623 | + | 0.128046i | ||||
\(59\) | 4.09791 | − | 0.358521i | 0.533503 | − | 0.0466755i | 0.182778 | − | 0.983154i | \(-0.441491\pi\) |
0.350725 | + | 0.936479i | \(0.385935\pi\) | |||||||
\(60\) | −13.2188 | − | 15.4387i | −1.70654 | − | 1.99313i | ||||
\(61\) | 3.30061 | − | 4.71376i | 0.422600 | − | 0.603535i | −0.550242 | − | 0.835005i | \(-0.685465\pi\) |
0.972842 | + | 0.231470i | \(0.0743535\pi\) | |||||||
\(62\) | −9.22711 | + | 9.31944i | −1.17184 | + | 1.18357i | ||||
\(63\) | 3.73069 | − | 10.2500i | 0.470023 | − | 1.29138i | ||||
\(64\) | 0.238925 | + | 7.99643i | 0.0298656 | + | 0.999554i | ||||
\(65\) | 10.6218 | + | 6.13253i | 1.31748 | + | 0.760646i | ||||
\(66\) | 1.37190 | + | 14.8302i | 0.168869 | + | 1.82547i | ||||
\(67\) | −4.41142 | − | 0.385950i | −0.538941 | − | 0.0471512i | −0.185564 | − | 0.982632i | \(-0.559411\pi\) |
−0.353377 | + | 0.935481i | \(0.614967\pi\) | |||||||
\(68\) | −6.94502 | − | 1.15342i | −0.842207 | − | 0.139872i | ||||
\(69\) | −1.74873 | + | 6.52637i | −0.210523 | + | 0.785682i | ||||
\(70\) | −19.1194 | − | 3.27321i | −2.28521 | − | 0.391224i | ||||
\(71\) | −1.87607 | − | 0.330802i | −0.222649 | − | 0.0392590i | 0.0612107 | − | 0.998125i | \(-0.480504\pi\) |
−0.283860 | + | 0.958866i | \(0.591615\pi\) | |||||||
\(72\) | −0.661502 | + | 9.12948i | −0.0779588 | + | 1.07592i | ||||
\(73\) | 1.56611 | + | 4.30284i | 0.183299 | + | 0.503609i | 0.996976 | − | 0.0777073i | \(-0.0247600\pi\) |
−0.813677 | + | 0.581317i | \(0.802538\pi\) | |||||||
\(74\) | −5.94545 | + | 10.4172i | −0.691144 | + | 1.21098i | ||||
\(75\) | −20.4132 | + | 20.4132i | −2.35711 | + | 2.35711i | ||||
\(76\) | −7.74558 | + | 4.00076i | −0.888478 | + | 0.458918i | ||||
\(77\) | 10.0509 | + | 10.0509i | 1.14541 | + | 1.14541i | ||||
\(78\) | −2.80607 | − | 10.2677i | −0.317725 | − | 1.16258i | ||||
\(79\) | 4.15407 | − | 1.51196i | 0.467369 | − | 0.170108i | −0.0975911 | − | 0.995227i | \(-0.531114\pi\) |
0.564960 | + | 0.825118i | \(0.308892\pi\) | |||||||
\(80\) | 16.1843 | − | 1.74130i | 1.80946 | − | 0.194683i | ||||
\(81\) | 1.43009 | − | 8.11042i | 0.158899 | − | 0.901158i | ||||
\(82\) | 2.33524 | + | 3.29998i | 0.257884 | + | 0.364422i | ||||
\(83\) | −10.9822 | − | 2.94267i | −1.20545 | − | 0.323000i | −0.400476 | − | 0.916307i | \(-0.631155\pi\) |
−0.804976 | + | 0.593307i | \(0.797822\pi\) | |||||||
\(84\) | 9.79248 | + | 13.6929i | 1.06845 | + | 1.49402i | ||||
\(85\) | −1.24848 | + | 14.2701i | −0.135416 | + | 1.54781i | ||||
\(86\) | 3.35045 | + | 2.78306i | 0.361289 | + | 0.300105i | ||||
\(87\) | 4.82212 | − | 8.35215i | 0.516985 | − | 0.895445i | ||||
\(88\) | −10.4178 | − | 5.80903i | −1.11054 | − | 0.619245i | ||||
\(89\) | −2.98849 | − | 1.08772i | −0.316780 | − | 0.115298i | 0.178737 | − | 0.983897i | \(-0.442799\pi\) |
−0.495516 | + | 0.868599i | \(0.665021\pi\) | |||||||
\(90\) | 18.6243 | − | 0.0927190i | 1.96317 | − | 0.00977344i | ||||
\(91\) | −8.32149 | − | 5.82677i | −0.872329 | − | 0.610812i | ||||
\(92\) | −3.51938 | − | 4.11042i | −0.366921 | − | 0.428540i | ||||
\(93\) | −2.01834 | − | 23.0698i | −0.209293 | − | 2.39223i | ||||
\(94\) | −1.67327 | + | 2.41518i | −0.172585 | + | 0.249107i | ||||
\(95\) | 9.33326 | + | 15.0842i | 0.957572 | + | 1.54761i | ||||
\(96\) | −11.0442 | − | 8.80821i | −1.12719 | − | 0.898984i | ||||
\(97\) | −1.19493 | + | 1.42407i | −0.121327 | + | 0.144592i | −0.823289 | − | 0.567623i | \(-0.807863\pi\) |
0.701962 | + | 0.712215i | \(0.252308\pi\) | |||||||
\(98\) | 5.96450 | + | 1.56640i | 0.602506 | + | 0.158230i | ||||
\(99\) | −11.1795 | − | 7.82798i | −1.12358 | − | 0.786742i | ||||
\(100\) | −4.24131 | − | 22.7280i | −0.424131 | − | 2.27280i | ||||
\(101\) | −9.30767 | + | 4.34024i | −0.926148 | + | 0.431870i | −0.826362 | − | 0.563139i | \(-0.809593\pi\) |
−0.0997856 | + | 0.995009i | \(0.531816\pi\) | |||||||
\(102\) | 9.48327 | − | 8.03820i | 0.938983 | − | 0.795900i | ||||
\(103\) | 1.56019 | + | 0.900777i | 0.153730 | + | 0.0887562i | 0.574892 | − | 0.818229i | \(-0.305044\pi\) |
−0.421162 | + | 0.906986i | \(0.638377\pi\) | |||||||
\(104\) | 8.05330 | + | 2.79568i | 0.789691 | + | 0.274139i | ||||
\(105\) | 26.2390 | − | 22.0171i | 2.56066 | − | 2.14865i | ||||
\(106\) | −6.48089 | − | 2.32238i | −0.629480 | − | 0.225569i | ||||
\(107\) | 11.4255 | + | 3.06145i | 1.10455 | + | 0.295962i | 0.764614 | − | 0.644488i | \(-0.222930\pi\) |
0.339931 | + | 0.940450i | \(0.389596\pi\) | |||||||
\(108\) | −0.842506 | − | 0.825894i | −0.0810702 | − | 0.0794717i | ||||
\(109\) | 2.25803 | + | 3.22480i | 0.216280 | + | 0.308880i | 0.912601 | − | 0.408850i | \(-0.134070\pi\) |
−0.696322 | + | 0.717730i | \(0.745181\pi\) | |||||||
\(110\) | −10.1473 | + | 22.0468i | −0.967505 | + | 2.10208i | ||||
\(111\) | −7.24400 | − | 19.9027i | −0.687570 | − | 1.88908i | ||||
\(112\) | −13.4795 | + | 0.268458i | −1.27369 | + | 0.0253669i | ||||
\(113\) | 17.6801i | 1.66321i | 0.555369 | + | 0.831604i | \(0.312577\pi\) | ||||
−0.555369 | + | 0.831604i | \(0.687423\pi\) | |||||||
\(114\) | 3.45450 | − | 15.0014i | 0.323544 | − | 1.40501i | ||||
\(115\) | −7.78547 | + | 7.78547i | −0.725998 | + | 0.725998i | ||||
\(116\) | 3.33380 | + | 6.96739i | 0.309536 | + | 0.646906i | ||||
\(117\) | 8.83997 | + | 4.12214i | 0.817255 | + | 0.381092i | ||||
\(118\) | −2.01688 | − | 5.45665i | −0.185669 | − | 0.502326i | ||||
\(119\) | 2.06026 | − | 11.6843i | 0.188864 | − | 1.07110i | ||||
\(120\) | −16.1331 | + | 23.7888i | −1.47274 | + | 2.17161i | ||||
\(121\) | 5.87553 | − | 3.39224i | 0.534139 | − | 0.308385i | ||||
\(122\) | −7.66098 | − | 2.74526i | −0.693593 | − | 0.248544i | ||||
\(123\) | −7.11146 | − | 0.622172i | −0.641219 | − | 0.0560994i | ||||
\(124\) | 16.1535 | + | 9.11301i | 1.45063 | + | 0.818373i | ||||
\(125\) | −25.7865 | + | 6.90947i | −2.30642 | + | 0.618002i | ||||
\(126\) | −15.3738 | − | 1.26794i | −1.36961 | − | 0.112957i | ||||
\(127\) | −9.45914 | − | 3.44284i | −0.839363 | − | 0.305503i | −0.113667 | − | 0.993519i | \(-0.536260\pi\) |
−0.725696 | + | 0.688016i | \(0.758482\pi\) | |||||||
\(128\) | 10.8195 | − | 3.30718i | 0.956322 | − | 0.292316i | ||||
\(129\) | −7.57429 | + | 1.33555i | −0.666879 | + | 0.117589i | ||||
\(130\) | 4.40586 | − | 16.7765i | 0.386419 | − | 1.47140i | ||||
\(131\) | 14.5824 | − | 1.27579i | 1.27407 | − | 0.111467i | 0.570028 | − | 0.821625i | \(-0.306932\pi\) |
0.704041 | + | 0.710159i | \(0.251377\pi\) | |||||||
\(132\) | 19.7196 | − | 7.40053i | 1.71637 | − | 0.644133i | ||||
\(133\) | −6.61206 | − | 13.1199i | −0.573338 | − | 1.13764i | ||||
\(134\) | 1.11817 | + | 6.16189i | 0.0965948 | + | 0.532307i | ||||
\(135\) | −1.54304 | + | 1.83892i | −0.132804 | + | 0.158269i | ||||
\(136\) | 1.01578 | + | 9.90432i | 0.0871020 | + | 0.849288i | ||||
\(137\) | 9.70480 | − | 1.71122i | 0.829137 | − | 0.146199i | 0.257056 | − | 0.966396i | \(-0.417247\pi\) |
0.572081 | + | 0.820197i | \(0.306136\pi\) | |||||||
\(138\) | 9.55515 | − | 0.0475692i | 0.813388 | − | 0.00404936i | ||||
\(139\) | −1.16657 | − | 2.50171i | −0.0989471 | − | 0.212193i | 0.850603 | − | 0.525809i | \(-0.176237\pi\) |
−0.949550 | + | 0.313616i | \(0.898459\pi\) | |||||||
\(140\) | 2.66286 | + | 27.3028i | 0.225052 | + | 2.30750i | ||||
\(141\) | −1.34283 | − | 5.01151i | −0.113087 | − | 0.422045i | ||||
\(142\) | 0.248164 | + | 2.68264i | 0.0208255 | + | 0.225122i | ||||
\(143\) | −9.73669 | + | 8.17006i | −0.814223 | + | 0.683214i | ||||
\(144\) | 12.7009 | − | 2.50125i | 1.05841 | − | 0.208438i | ||||
\(145\) | 13.6104 | − | 7.85796i | 1.13028 | − | 0.652568i | ||||
\(146\) | 5.28600 | − | 3.74065i | 0.437472 | − | 0.309579i | ||||
\(147\) | −8.92005 | + | 6.24588i | −0.735713 | + | 0.515152i | ||||
\(148\) | 16.4276 | + | 4.22693i | 1.35034 | + | 0.347451i | ||||
\(149\) | −2.32051 | + | 4.97636i | −0.190104 | + | 0.407679i | −0.978139 | − | 0.207951i | \(-0.933321\pi\) |
0.788035 | + | 0.615630i | \(0.211098\pi\) | |||||||
\(150\) | 35.4578 | + | 20.2369i | 2.89512 | + | 1.65234i | ||||
\(151\) | 10.4079i | 0.846981i | 0.905901 | + | 0.423490i | \(0.139195\pi\) | ||||
−0.905901 | + | 0.423490i | \(0.860805\pi\) | |||||||
\(152\) | 8.34550 | + | 9.07484i | 0.676909 | + | 0.736067i | ||||
\(153\) | 11.3917i | 0.920967i | ||||||||
\(154\) | 9.96412 | − | 17.4585i | 0.802932 | − | 1.40685i | ||||
\(155\) | 15.9485 | − | 34.2016i | 1.28101 | − | 2.74714i | ||||
\(156\) | −12.9608 | + | 7.65600i | −1.03770 | + | 0.612971i | ||||
\(157\) | −13.6987 | + | 9.59196i | −1.09328 | + | 0.765522i | −0.973821 | − | 0.227317i | \(-0.927005\pi\) |
−0.119458 | + | 0.992839i | \(0.538116\pi\) | |||||||
\(158\) | −3.61132 | − | 5.10323i | −0.287301 | − | 0.405991i | ||||
\(159\) | 10.5280 | − | 6.07832i | 0.834922 | − | 0.482042i | ||||
\(160\) | −8.40930 | − | 21.4292i | −0.664814 | − | 1.69413i | ||||
\(161\) | 6.98587 | − | 5.86184i | 0.550564 | − | 0.461978i | ||||
\(162\) | −11.5973 | + | 1.07284i | −0.911170 | + | 0.0842899i | ||||
\(163\) | 3.12285 | + | 11.6546i | 0.244601 | + | 0.912862i | 0.973584 | + | 0.228330i | \(0.0733265\pi\) |
−0.728983 | + | 0.684532i | \(0.760007\pi\) | |||||||
\(164\) | 3.63116 | − | 4.41601i | 0.283546 | − | 0.344832i | ||||
\(165\) | −18.1118 | − | 38.8409i | −1.41000 | − | 3.02376i | ||||
\(166\) | 0.0800467 | + | 16.0788i | 0.00621283 | + | 1.24796i | ||||
\(167\) | 11.1633 | − | 1.96840i | 0.863844 | − | 0.152319i | 0.275866 | − | 0.961196i | \(-0.411035\pi\) |
0.587978 | + | 0.808877i | \(0.299924\pi\) | |||||||
\(168\) | 15.0288 | − | 18.4638i | 1.15950 | − | 1.42451i | ||||
\(169\) | −2.51720 | + | 2.99988i | −0.193631 | + | 0.230760i | ||||
\(170\) | 19.9326 | − | 3.61706i | 1.52876 | − | 0.277416i | ||||
\(171\) | 8.43956 | + | 11.3032i | 0.645389 | + | 0.864380i | ||||
\(172\) | 2.54749 | − | 5.60823i | 0.194244 | − | 0.427623i | ||||
\(173\) | 19.4650 | − | 1.70297i | 1.47990 | − | 0.129474i | 0.681594 | − | 0.731731i | \(-0.261287\pi\) |
0.798302 | + | 0.602257i | \(0.205732\pi\) | |||||||
\(174\) | −13.1917 | − | 3.46441i | −1.00006 | − | 0.262636i | ||||
\(175\) | 38.3721 | − | 6.76604i | 2.90066 | − | 0.511465i | ||||
\(176\) | −4.04062 | + | 16.3776i | −0.304573 | + | 1.23451i | ||||
\(177\) | 9.65306 | + | 3.51343i | 0.725569 | + | 0.264085i | ||||
\(178\) | −0.369682 | + | 4.48239i | −0.0277088 | + | 0.335969i | ||||
\(179\) | 2.74002 | − | 0.734185i | 0.204798 | − | 0.0548756i | −0.154961 | − | 0.987921i | \(-0.549525\pi\) |
0.359760 | + | 0.933045i | \(0.382859\pi\) | |||||||
\(180\) | −7.07003 | − | 25.3725i | −0.526969 | − | 1.89115i | ||||
\(181\) | 11.2155 | + | 0.981231i | 0.833643 | + | 0.0729343i | 0.495981 | − | 0.868333i | \(-0.334808\pi\) |
0.337662 | + | 0.941268i | \(0.390364\pi\) | |||||||
\(182\) | −4.84637 | + | 13.5244i | −0.359237 | + | 1.00250i | ||||
\(183\) | 12.4450 | − | 7.18511i | 0.919959 | − | 0.531139i | ||||
\(184\) | −4.29527 | + | 6.33354i | −0.316652 | + | 0.466915i | ||||
\(185\) | 5.99334 | − | 33.9899i | 0.440639 | − | 2.49899i | ||||
\(186\) | −30.7190 | + | 11.3543i | −2.25243 | + | 0.832538i | ||||
\(187\) | −13.4539 | − | 6.27365i | −0.983846 | − | 0.458775i | ||||
\(188\) | 3.91859 | + | 1.38222i | 0.285792 | + | 0.100809i | ||||
\(189\) | 1.40592 | − | 1.40592i | 0.102266 | − | 0.102266i | ||||
\(190\) | 17.0981 | − | 18.3560i | 1.24042 | − | 1.33169i | ||||
\(191\) | − | 8.33588i | − | 0.603163i | −0.953440 | − | 0.301582i | \(-0.902485\pi\) | ||
0.953440 | − | 0.301582i | \(-0.0975146\pi\) | |||||||
\(192\) | −7.89852 | + | 18.3502i | −0.570027 | + | 1.32431i | ||||
\(193\) | −1.28017 | − | 3.51724i | −0.0921486 | − | 0.253176i | 0.885053 | − | 0.465491i | \(-0.154122\pi\) |
−0.977201 | + | 0.212314i | \(0.931900\pi\) | |||||||
\(194\) | 2.38819 | + | 1.09919i | 0.171462 | + | 0.0789172i | ||||
\(195\) | 17.5680 | + | 25.0897i | 1.25807 | + | 1.79671i | ||||
\(196\) | −0.0868320 | − | 8.72068i | −0.00620229 | − | 0.622906i | ||||
\(197\) | −1.91925 | − | 0.514262i | −0.136741 | − | 0.0366397i | 0.189799 | − | 0.981823i | \(-0.439216\pi\) |
−0.326540 | + | 0.945183i | \(0.605883\pi\) | |||||||
\(198\) | −6.51086 | + | 18.1694i | −0.462707 | + | 1.29124i | ||||
\(199\) | −8.43229 | + | 7.07553i | −0.597749 | + | 0.501571i | −0.890721 | − | 0.454550i | \(-0.849800\pi\) |
0.292972 | + | 0.956121i | \(0.405356\pi\) | |||||||
\(200\) | −29.4240 | + | 14.2594i | −2.08059 | + | 1.00829i | ||||
\(201\) | −9.57692 | − | 5.52924i | −0.675504 | − | 0.390002i | ||||
\(202\) | 9.39099 | + | 11.0793i | 0.660748 | + | 0.779534i | ||||
\(203\) | −11.7973 | + | 5.50117i | −0.828008 | + | 0.386107i | ||||
\(204\) | −14.5012 | − | 9.94013i | −1.01528 | − | 0.695948i | ||||
\(205\) | −9.52908 | − | 6.67234i | −0.665540 | − | 0.466016i | ||||
\(206\) | 0.647155 | − | 2.46422i | 0.0450894 | − | 0.171690i | ||||
\(207\) | −5.62824 | + | 6.70747i | −0.391190 | + | 0.466202i | ||||
\(208\) | 0.811383 | − | 12.0285i | 0.0562593 | − | 0.834026i | ||||
\(209\) | −17.9972 | + | 3.74240i | −1.24489 | + | 0.258867i | ||||
\(210\) | −39.8179 | − | 27.5864i | −2.74770 | − | 1.90364i | ||||
\(211\) | 0.113010 | + | 1.29171i | 0.00777990 | + | 0.0889246i | 0.999092 | − | 0.0426066i | \(-0.0135662\pi\) |
−0.991312 | + | 0.131531i | \(0.958011\pi\) | |||||||
\(212\) | −0.751943 | + | 9.70698i | −0.0516436 | + | 0.666678i | ||||
\(213\) | −3.89694 | − | 2.72866i | −0.267014 | − | 0.186965i | ||||
\(214\) | −0.0832779 | − | 16.7279i | −0.00569276 | − | 1.14350i | ||||
\(215\) | −11.7774 | − | 4.28661i | −0.803210 | − | 0.292344i | ||||
\(216\) | −0.812569 | + | 1.45725i | −0.0552883 | + | 0.0991531i | ||||
\(217\) | −15.6282 | + | 27.0688i | −1.06091 | + | 1.83755i | ||||
\(218\) | 3.55738 | − | 4.28264i | 0.240936 | − | 0.290057i | ||||
\(219\) | −0.996612 | + | 11.3913i | −0.0673448 | + | 0.769755i | ||||
\(220\) | 33.8591 | + | 5.62326i | 2.28278 | + | 0.379120i | ||||
\(221\) | 10.2478 | + | 2.74590i | 0.689344 | + | 0.184709i | ||||
\(222\) | −24.4503 | + | 17.3023i | −1.64100 | + | 1.16126i | ||||
\(223\) | −4.77773 | + | 27.0958i | −0.319940 | + | 1.81447i | 0.223135 | + | 0.974787i | \(0.428371\pi\) |
−0.543076 | + | 0.839684i | \(0.682740\pi\) | |||||||
\(224\) | 5.39167 | + | 18.2885i | 0.360246 | + | 1.22195i | ||||
\(225\) | −35.1551 | + | 12.7954i | −2.34367 | + | 0.853028i | ||||
\(226\) | 24.1190 | − | 6.59154i | 1.60437 | − | 0.438463i | ||||
\(227\) | −6.72705 | − | 6.72705i | −0.446490 | − | 0.446490i | 0.447696 | − | 0.894186i | \(-0.352245\pi\) |
−0.894186 | + | 0.447696i | \(0.852245\pi\) | |||||||
\(228\) | −21.7527 | + | 0.880270i | −1.44060 | + | 0.0582973i | ||||
\(229\) | −0.0467754 | + | 0.0467754i | −0.00309100 | + | 0.00309100i | −0.708651 | − | 0.705560i | \(-0.750696\pi\) |
0.705560 | + | 0.708651i | \(0.250696\pi\) | |||||||
\(230\) | 13.5234 | + | 7.71824i | 0.891708 | + | 0.508926i | ||||
\(231\) | 12.1404 | + | 33.3555i | 0.798779 | + | 2.19463i | ||||
\(232\) | 8.26191 | − | 7.14552i | 0.542421 | − | 0.469126i | ||||
\(233\) | −15.3229 | − | 2.70184i | −1.00383 | − | 0.177003i | −0.352515 | − | 0.935806i | \(-0.614673\pi\) |
−0.651320 | + | 0.758803i | \(0.725784\pi\) | |||||||
\(234\) | 2.32764 | − | 13.5962i | 0.152163 | − | 0.888810i | ||||
\(235\) | 2.18823 | − | 8.16658i | 0.142744 | − | 0.532729i | ||||
\(236\) | −6.69196 | + | 4.78576i | −0.435609 | + | 0.311526i | ||||
\(237\) | 10.9975 | + | 0.962154i | 0.714362 | + | 0.0624986i | ||||
\(238\) | −16.7077 | + | 1.54558i | −1.08300 | + | 0.100185i | ||||
\(239\) | 10.8798 | + | 6.28146i | 0.703756 | + | 0.406314i | 0.808745 | − | 0.588160i | \(-0.200147\pi\) |
−0.104989 | + | 0.994473i | \(0.533481\pi\) | |||||||
\(240\) | 38.4671 | + | 13.1395i | 2.48304 | + | 0.848153i | ||||
\(241\) | −2.45575 | + | 6.74712i | −0.158189 | + | 0.434620i | −0.993315 | − | 0.115439i | \(-0.963173\pi\) |
0.835126 | + | 0.550059i | \(0.185395\pi\) | |||||||
\(242\) | −6.81817 | − | 6.75062i | −0.438289 | − | 0.433946i | ||||
\(243\) | 12.8113 | − | 18.2964i | 0.821846 | − | 1.17372i | ||||
\(244\) | −0.888862 | + | 11.4745i | −0.0569036 | + | 0.734579i | ||||
\(245\) | −17.6774 | + | 1.54657i | −1.12937 | + | 0.0988069i | ||||
\(246\) | 1.80255 | + | 9.93332i | 0.114926 | + | 0.633325i | ||||
\(247\) | 12.2025 | − | 4.86754i | 0.776428 | − | 0.309714i | ||||
\(248\) | 6.40947 | − | 25.4339i | 0.407002 | − | 1.61506i | ||||
\(249\) | −21.7500 | − | 18.2504i | −1.37835 | − | 1.15657i | ||||
\(250\) | 19.0396 | + | 32.6016i | 1.20417 | + | 2.06191i | ||||
\(251\) | −13.9341 | + | 19.8999i | −0.879511 | + | 1.25607i | 0.0861536 | + | 0.996282i | \(0.472542\pi\) |
−0.965665 | + | 0.259791i | \(0.916346\pi\) | |||||||
\(252\) | 4.00197 | + | 21.4454i | 0.252100 | + | 1.35093i | ||||
\(253\) | −4.82210 | − | 10.3410i | −0.303163 | − | 0.650134i | ||||
\(254\) | −1.17011 | + | 14.1876i | −0.0734194 | + | 0.890208i | ||||
\(255\) | −17.8861 | + | 30.9796i | −1.12007 | + | 1.94002i | ||||
\(256\) | −8.54537 | − | 13.5269i | −0.534085 | − | 0.845431i | ||||
\(257\) | −16.6772 | − | 19.8751i | −1.04029 | − | 1.23977i | −0.970218 | − | 0.242233i | \(-0.922120\pi\) |
−0.0700767 | − | 0.997542i | \(-0.522324\pi\) | |||||||
\(258\) | 4.64580 | + | 9.83482i | 0.289235 | + | 0.612289i | ||||
\(259\) | −7.39881 | + | 27.6127i | −0.459740 | + | 1.71577i | ||||
\(260\) | −24.5289 | + | 0.244235i | −1.52122 | + | 0.0151468i | ||||
\(261\) | 10.2379 | − | 7.16863i | 0.633708 | − | 0.443727i | ||||
\(262\) | −7.17705 | − | 19.4175i | −0.443399 | − | 1.19961i | ||||
\(263\) | −7.24927 | + | 2.63852i | −0.447009 | + | 0.162698i | −0.555709 | − | 0.831377i | \(-0.687553\pi\) |
0.108700 | + | 0.994075i | \(0.465331\pi\) | |||||||
\(264\) | −17.4476 | − | 24.1422i | −1.07383 | − | 1.48585i | ||||
\(265\) | 19.8101 | 1.21692 | ||||||||
\(266\) | −15.4328 | + | 13.9115i | −0.946248 | + | 0.852966i | ||||
\(267\) | −5.61581 | − | 5.61581i | −0.343682 | − | 0.343682i | ||||
\(268\) | 7.98909 | − | 3.82267i | 0.488012 | − | 0.233507i | ||||
\(269\) | −11.8093 | + | 25.3252i | −0.720027 | + | 1.54410i | 0.114676 | + | 0.993403i | \(0.463417\pi\) |
−0.834703 | + | 0.550700i | \(0.814361\pi\) | |||||||
\(270\) | 3.08391 | + | 1.41940i | 0.187681 | + | 0.0863821i | ||||
\(271\) | 23.7859 | + | 4.19409i | 1.44489 | + | 0.254773i | 0.840455 | − | 0.541882i | \(-0.182288\pi\) |
0.604435 | + | 0.796655i | \(0.293399\pi\) | |||||||
\(272\) | 13.1326 | − | 5.07825i | 0.796283 | − | 0.307914i | ||||
\(273\) | −12.6843 | − | 21.9699i | −0.767690 | − | 1.32968i | ||||
\(274\) | −5.95258 | − | 12.6012i | −0.359608 | − | 0.761265i | ||||
\(275\) | 4.24895 | − | 48.5657i | 0.256221 | − | 2.92862i | ||||
\(276\) | −3.62726 | − | 13.0173i | −0.218335 | − | 0.783547i | ||||
\(277\) | −6.43217 | − | 24.0052i | −0.386471 | − | 1.44233i | −0.835834 | − | 0.548982i | \(-0.815016\pi\) |
0.449363 | − | 0.893349i | \(-0.351651\pi\) | |||||||
\(278\) | −2.97788 | + | 2.52411i | −0.178602 | + | 0.151386i | ||||
\(279\) | 10.2643 | − | 28.2009i | 0.614506 | − | 1.68834i | ||||
\(280\) | 36.2533 | − | 13.8117i | 2.16655 | − | 0.825406i | ||||
\(281\) | −0.420538 | − | 2.38499i | −0.0250872 | − | 0.142276i | 0.969691 | − | 0.244333i | \(-0.0785689\pi\) |
−0.994779 | + | 0.102056i | \(0.967458\pi\) | |||||||
\(282\) | −6.33600 | + | 3.70027i | −0.377303 | + | 0.220348i | ||||
\(283\) | −0.666948 | − | 7.62325i | −0.0396459 | − | 0.453155i | −0.989909 | − | 0.141706i | \(-0.954741\pi\) |
0.950263 | − | 0.311449i | \(-0.100814\pi\) | |||||||
\(284\) | 3.56710 | − | 1.33869i | 0.211669 | − | 0.0794366i | ||||
\(285\) | 5.20409 | + | 43.9898i | 0.308264 | + | 2.60573i | ||||
\(286\) | 14.7755 | + | 10.2367i | 0.873695 | + | 0.605308i | ||||
\(287\) | 7.38087 | + | 6.19329i | 0.435679 | + | 0.365578i | ||||
\(288\) | −8.14735 | − | 16.3939i | −0.480087 | − | 0.966021i | ||||
\(289\) | −0.800359 | − | 4.53906i | −0.0470800 | − | 0.267004i | ||||
\(290\) | −15.7940 | − | 15.6375i | −0.927453 | − | 0.918265i | ||||
\(291\) | −4.20739 | + | 1.96194i | −0.246641 | + | 0.115011i | ||||
\(292\) | −7.07368 | − | 5.81649i | −0.413956 | − | 0.340384i | ||||
\(293\) | 16.3446 | − | 4.37952i | 0.954862 | − | 0.255855i | 0.252438 | − | 0.967613i | \(-0.418768\pi\) |
0.702424 | + | 0.711759i | \(0.252101\pi\) | |||||||
\(294\) | 11.8461 | + | 9.84001i | 0.690881 | + | 0.573881i | ||||
\(295\) | 10.7602 | + | 12.8235i | 0.626481 | + | 0.746611i | ||||
\(296\) | −0.358262 | − | 23.9863i | −0.0208236 | − | 1.39417i | ||||
\(297\) | −1.24385 | − | 2.15441i | −0.0721754 | − | 0.125011i | ||||
\(298\) | 7.65382 | + | 1.31032i | 0.443374 | + | 0.0759048i | ||||
\(299\) | 4.67730 | + | 6.67988i | 0.270495 | + | 0.386307i | ||||
\(300\) | 14.3875 | − | 55.9158i | 0.830661 | − | 3.22830i | ||||
\(301\) | 9.40817 | + | 4.38710i | 0.542278 | + | 0.252868i | ||||
\(302\) | 14.1983 | − | 3.88028i | 0.817019 | − | 0.223285i | ||||
\(303\) | −25.6464 | −1.47335 | ||||||||
\(304\) | 9.26839 | − | 14.7681i | 0.531579 | − | 0.847009i | ||||
\(305\) | 23.4172 | 1.34087 | ||||||||
\(306\) | 15.5404 | − | 4.24708i | 0.888388 | − | 0.242789i | ||||
\(307\) | −17.0741 | − | 7.96180i | −0.974473 | − | 0.454404i | −0.130886 | − | 0.991397i | \(-0.541782\pi\) |
−0.843587 | + | 0.536993i | \(0.819560\pi\) | |||||||
\(308\) | −27.5315 | − | 7.08401i | −1.56875 | − | 0.403649i | ||||
\(309\) | 2.58047 | + | 3.68530i | 0.146798 | + | 0.209649i | ||||
\(310\) | −52.6033 | − | 9.00560i | −2.98767 | − | 0.511484i | ||||
\(311\) | 0.0616605 | + | 0.106799i | 0.00349645 | + | 0.00605602i | 0.867768 | − | 0.496969i | \(-0.165554\pi\) |
−0.864272 | + | 0.503025i | \(0.832220\pi\) | |||||||
\(312\) | 15.2763 | + | 14.8267i | 0.864850 | + | 0.839395i | ||||
\(313\) | 4.64231 | + | 5.53249i | 0.262399 | + | 0.312715i | 0.881117 | − | 0.472898i | \(-0.156792\pi\) |
−0.618718 | + | 0.785613i | \(0.712348\pi\) | |||||||
\(314\) | 18.1924 | + | 15.1115i | 1.02666 | + | 0.852794i | ||||
\(315\) | 42.8760 | − | 11.4886i | 2.41579 | − | 0.647309i | ||||
\(316\) | −5.61538 | + | 6.82910i | −0.315890 | + | 0.384167i | ||||
\(317\) | 5.02830 | − | 2.34473i | 0.282417 | − | 0.131693i | −0.276248 | − | 0.961086i | \(-0.589091\pi\) |
0.558666 | + | 0.829393i | \(0.311313\pi\) | |||||||
\(318\) | −12.2170 | − | 12.0960i | −0.685096 | − | 0.678309i | ||||
\(319\) | 2.82812 | + | 16.0391i | 0.158344 | + | 0.898015i | ||||
\(320\) | −26.0982 | + | 19.4611i | −1.45893 | + | 1.08791i | ||||
\(321\) | 22.6280 | + | 18.9872i | 1.26297 | + | 1.05976i | ||||
\(322\) | −10.6011 | − | 7.34461i | −0.590778 | − | 0.409299i | ||||
\(323\) | 11.1753 | + | 10.5138i | 0.621810 | + | 0.585004i | ||||
\(324\) | 5.78727 | + | 15.4209i | 0.321515 | + | 0.856717i | ||||
\(325\) | 3.03667 | + | 34.7093i | 0.168444 | + | 1.92533i | ||||
\(326\) | 14.7348 | − | 8.60525i | 0.816087 | − | 0.476601i | ||||
\(327\) | 1.70714 | + | 9.68166i | 0.0944050 | + | 0.535397i | ||||
\(328\) | −7.37803 | − | 3.30720i | −0.407384 | − | 0.182610i | ||||
\(329\) | −2.39506 | + | 6.58036i | −0.132044 | + | 0.362787i | ||||
\(330\) | −46.2338 | + | 39.1886i | −2.54509 | + | 2.15726i | ||||
\(331\) | 5.29521 | + | 19.7620i | 0.291051 | + | 1.08622i | 0.944303 | + | 0.329077i | \(0.106738\pi\) |
−0.653252 | + | 0.757141i | \(0.726596\pi\) | |||||||
\(332\) | 21.9047 | − | 6.10373i | 1.20218 | − | 0.334986i | ||||
\(333\) | 2.39221 | − | 27.3431i | 0.131093 | − | 1.49839i | ||||
\(334\) | −6.84718 | − | 14.4950i | −0.374661 | − | 0.793131i | ||||
\(335\) | −9.01026 | − | 15.6062i | −0.492283 | − | 0.852659i | ||||
\(336\) | −30.7911 | − | 13.6184i | −1.67979 | − | 0.742945i | ||||
\(337\) | 25.6775 | + | 4.52764i | 1.39874 | + | 0.246636i | 0.821627 | − | 0.570025i | \(-0.193067\pi\) |
0.577117 | + | 0.816662i | \(0.304178\pi\) | |||||||
\(338\) | 5.03087 | + | 2.31551i | 0.273643 | + | 0.125947i | ||||
\(339\) | −18.6593 | + | 40.0150i | −1.01343 | + | 2.17331i | ||||
\(340\) | −12.3656 | − | 25.8433i | −0.670621 | − | 1.40155i | ||||
\(341\) | 27.6531 | + | 27.6531i | 1.49750 | + | 1.49750i | ||||
\(342\) | 12.2733 | − | 15.7272i | 0.663662 | − | 0.850431i | ||||
\(343\) | −8.89636 | −0.480358 | ||||||||
\(344\) | −8.60043 | − | 1.38438i | −0.463704 | − | 0.0746410i | ||||
\(345\) | −25.8372 | + | 9.40399i | −1.39103 | + | 0.506294i | ||||
\(346\) | −9.58013 | − | 25.9190i | −0.515031 | − | 1.39341i | ||||
\(347\) | 7.47724 | − | 5.23562i | 0.401399 | − | 0.281063i | −0.355395 | − | 0.934716i | \(-0.615654\pi\) |
0.756794 | + | 0.653654i | \(0.226765\pi\) | |||||||
\(348\) | 0.192046 | + | 19.2875i | 0.0102948 | + | 1.03392i | ||||
\(349\) | 2.98572 | − | 11.1429i | 0.159822 | − | 0.596464i | −0.838822 | − | 0.544406i | \(-0.816755\pi\) |
0.998644 | − | 0.0520582i | \(-0.0165781\pi\) | |||||||
\(350\) | −23.5361 | − | 49.8242i | −1.25806 | − | 2.66322i | ||||
\(351\) | 1.14283 | + | 1.36197i | 0.0609997 | + | 0.0726966i | ||||
\(352\) | 23.8485 | − | 0.593753i | 1.27113 | − | 0.0316471i | ||||
\(353\) | 15.4814 | − | 26.8145i | 0.823991 | − | 1.42719i | −0.0786975 | − | 0.996899i | \(-0.525076\pi\) |
0.902688 | − | 0.430295i | \(-0.141591\pi\) | |||||||
\(354\) | 1.19410 | − | 14.4785i | 0.0634658 | − | 0.769521i | ||||
\(355\) | −3.27626 | − | 7.02597i | −0.173886 | − | 0.372900i | ||||
\(356\) | 6.25264 | − | 1.16681i | 0.331389 | − | 0.0618411i | ||||
\(357\) | 16.9943 | − | 24.2704i | 0.899434 | − | 1.28453i | ||||
\(358\) | −2.02310 | − | 3.46417i | −0.106924 | − | 0.183087i | ||||
\(359\) | −3.74752 | − | 3.14454i | −0.197786 | − | 0.165962i | 0.538516 | − | 0.842615i | \(-0.318985\pi\) |
−0.736302 | + | 0.676653i | \(0.763430\pi\) | |||||||
\(360\) | −31.9769 | + | 19.1042i | −1.68533 | + | 1.00688i | ||||
\(361\) | 18.8776 | + | 2.15293i | 0.993559 | + | 0.113312i | ||||
\(362\) | −2.84280 | − | 15.6659i | −0.149414 | − | 0.823381i | ||||
\(363\) | 16.8780 | − | 1.47664i | 0.885866 | − | 0.0775033i | ||||
\(364\) | 20.2566 | + | 1.56916i | 1.06174 | + | 0.0822466i | ||||
\(365\) | −10.6879 | + | 15.2639i | −0.559432 | + | 0.798951i | ||||
\(366\) | −14.4416 | − | 14.2985i | −0.754874 | − | 0.747395i | ||||
\(367\) | −8.58307 | + | 23.5818i | −0.448032 | + | 1.23096i | 0.486059 | + | 0.873926i | \(0.338434\pi\) |
−0.934092 | + | 0.357033i | \(0.883788\pi\) | |||||||
\(368\) | 10.2415 | + | 3.49827i | 0.533875 | + | 0.182360i | ||||
\(369\) | −8.01166 | − | 4.62554i | −0.417071 | − | 0.240796i | ||||
\(370\) | −48.6030 | + | 4.49614i | −2.52675 | + | 0.233743i | ||||
\(371\) | −16.3455 | − | 1.43004i | −0.848614 | − | 0.0742441i | ||||
\(372\) | 26.9421 | + | 37.6733i | 1.39688 | + | 1.95327i | ||||
\(373\) | 0.0515005 | − | 0.192202i | 0.00266659 | − | 0.00995186i | −0.964580 | − | 0.263792i | \(-0.915027\pi\) |
0.967246 | + | 0.253840i | \(0.0816936\pi\) | |||||||
\(374\) | −3.54253 | + | 20.6926i | −0.183180 | + | 1.06999i | ||||
\(375\) | −65.6540 | − | 11.5766i | −3.39036 | − | 0.597811i | ||||
\(376\) | 0.424676 | − | 5.86100i | 0.0219010 | − | 0.302258i | ||||
\(377\) | −3.98103 | − | 10.9378i | −0.205034 | − | 0.563325i | ||||
\(378\) | −2.44210 | − | 1.39378i | −0.125608 | − | 0.0716885i | ||||
\(379\) | 1.91911 | − | 1.91911i | 0.0985783 | − | 0.0985783i | −0.656098 | − | 0.754676i | \(-0.727794\pi\) |
0.754676 | + | 0.656098i | \(0.227794\pi\) | |||||||
\(380\) | −31.4156 | − | 16.4814i | −1.61158 | − | 0.845479i | ||||
\(381\) | −17.7751 | − | 17.7751i | −0.910644 | − | 0.910644i | ||||
\(382\) | −11.3717 | + | 3.10780i | −0.581827 | + | 0.159009i | ||||
\(383\) | −13.8291 | + | 5.03339i | −0.706635 | + | 0.257194i | −0.670241 | − | 0.742144i | \(-0.733809\pi\) |
−0.0363937 | + | 0.999338i | \(0.511587\pi\) | |||||||
\(384\) | 27.9779 | + | 3.93369i | 1.42774 | + | 0.200741i | ||||
\(385\) | −10.0444 | + | 56.9645i | −0.511909 | + | 2.90318i | ||||
\(386\) | −4.32089 | + | 3.05769i | −0.219928 | + | 0.155632i | ||||
\(387\) | −9.62745 | − | 2.57967i | −0.489391 | − | 0.131132i | ||||
\(388\) | 0.609131 | − | 3.66773i | 0.0309239 | − | 0.186201i | ||||
\(389\) | −2.41736 | + | 27.6305i | −0.122565 | + | 1.40092i | 0.647066 | + | 0.762434i | \(0.275996\pi\) |
−0.769631 | + | 0.638489i | \(0.779560\pi\) | |||||||
\(390\) | 27.6773 | − | 33.3199i | 1.40149 | − | 1.68722i | ||||
\(391\) | −4.76199 | + | 8.24801i | −0.240824 | + | 0.417120i | ||||
\(392\) | −11.8643 | + | 3.36971i | −0.599236 | + | 0.170196i | ||||
\(393\) | 34.3503 | + | 12.5025i | 1.73275 | + | 0.630668i | ||||
\(394\) | 0.0139890 | + | 2.80995i | 0.000704756 | + | 0.141563i | ||||
\(395\) | 14.7362 | + | 10.3184i | 0.741458 | + | 0.519174i | ||||
\(396\) | 27.2138 | + | 2.10810i | 1.36755 | + | 0.105936i | ||||
\(397\) | −2.81348 | − | 32.1582i | −0.141204 | − | 1.61397i | −0.654705 | − | 0.755884i | \(-0.727207\pi\) |
0.513501 | − | 0.858089i | \(-0.328348\pi\) | |||||||
\(398\) | 12.7961 | + | 8.86530i | 0.641410 | + | 0.444378i | ||||
\(399\) | −1.11842 | − | 36.6721i | −0.0559911 | − | 1.83590i | ||||
\(400\) | 30.4224 | + | 34.8236i | 1.52112 | + | 1.74118i | ||||
\(401\) | −8.02087 | + | 9.55890i | −0.400543 | + | 0.477349i | −0.928185 | − | 0.372118i | \(-0.878632\pi\) |
0.527642 | + | 0.849467i | \(0.323076\pi\) | |||||||
\(402\) | −3.97243 | + | 15.1261i | −0.198127 | + | 0.754422i | ||||
\(403\) | −22.8950 | − | 16.0312i | −1.14048 | − | 0.798572i | ||||
\(404\) | 11.6130 | − | 16.9416i | 0.577769 | − | 0.842878i | ||||
\(405\) | 30.3739 | − | 14.1636i | 1.50929 | − | 0.703794i | ||||
\(406\) | 11.9029 | + | 14.0428i | 0.590731 | + | 0.696930i | ||||
\(407\) | 30.9754 | + | 17.8837i | 1.53539 | + | 0.886460i | ||||
\(408\) | −8.15385 | + | 23.4882i | −0.403676 | + | 1.16284i | ||||
\(409\) | −8.88082 | + | 7.45189i | −0.439128 | + | 0.368472i | −0.835383 | − | 0.549668i | \(-0.814754\pi\) |
0.396255 | + | 0.918141i | \(0.370310\pi\) | |||||||
\(410\) | −5.54966 | + | 15.4870i | −0.274078 | + | 0.764850i | ||||
\(411\) | 23.7706 | + | 6.36931i | 1.17252 | + | 0.314175i | ||||
\(412\) | −3.60293 | + | 0.0358744i | −0.177504 | + | 0.00176741i | ||||
\(413\) | −7.95261 | − | 11.3575i | −0.391322 | − | 0.558866i | ||||
\(414\) | 11.2486 | + | 5.17728i | 0.552837 | + | 0.254449i | ||||
\(415\) | −15.8245 | − | 43.4774i | −0.776793 | − | 2.13422i | ||||
\(416\) | −16.7116 | + | 3.37760i | −0.819354 | + | 0.165600i | ||||
\(417\) | − | 6.89323i | − | 0.337563i | ||||||
\(418\) | 11.8151 | + | 23.1563i | 0.577894 | + | 1.13261i | ||||
\(419\) | 12.6993 | − | 12.6993i | 0.620404 | − | 0.620404i | −0.325231 | − | 0.945635i | \(-0.605442\pi\) |
0.945635 | + | 0.325231i | \(0.105442\pi\) | |||||||
\(420\) | −22.7880 | + | 64.6039i | −1.11194 | + | 3.15235i | ||||
\(421\) | −16.5983 | − | 7.73992i | −0.808952 | − | 0.377221i | −0.0262801 | − | 0.999655i | \(-0.508366\pi\) |
−0.782672 | + | 0.622434i | \(0.786144\pi\) | |||||||
\(422\) | 1.71999 | − | 0.635741i | 0.0837280 | − | 0.0309474i | ||||
\(423\) | 1.16754 | − | 6.62146i | 0.0567678 | − | 0.321946i | ||||
\(424\) | 13.5225 | − | 2.59318i | 0.656709 | − | 0.125936i | ||||
\(425\) | −35.2409 | + | 20.3463i | −1.70944 | + | 0.986943i | ||||
\(426\) | −2.26955 | + | 6.33345i | −0.109960 | + | 0.306857i | ||||
\(427\) | −19.3218 | − | 1.69044i | −0.935046 | − | 0.0818059i | ||||
\(428\) | −22.7889 | + | 6.35012i | −1.10154 | + | 0.306945i | ||||
\(429\) | −30.6593 | + | 8.21513i | −1.48024 | + | 0.396630i | ||||
\(430\) | −1.45688 | + | 17.6647i | −0.0702571 | + | 0.851865i | ||||
\(431\) | 21.0132 | + | 7.64819i | 1.01217 | + | 0.368400i | 0.794266 | − | 0.607570i | \(-0.207856\pi\) |
0.217905 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(432\) | 2.29090 | + | 0.565203i | 0.110221 | + | 0.0271933i | ||||
\(433\) | 26.2971 | − | 4.63689i | 1.26376 | − | 0.222835i | 0.498689 | − | 0.866781i | \(-0.333815\pi\) |
0.765071 | + | 0.643946i | \(0.222704\pi\) | |||||||
\(434\) | 42.7534 | + | 11.2279i | 2.05223 | + | 0.538957i | ||||
\(435\) | 39.0971 | − | 3.42055i | 1.87456 | − | 0.164003i | ||||
\(436\) | −7.16859 | − | 3.25627i | −0.343313 | − | 0.155947i | ||||
\(437\) | 1.38554 | + | 11.7119i | 0.0662793 | + | 0.560254i | ||||
\(438\) | 15.9115 | − | 2.88737i | 0.760279 | − | 0.137964i | ||||
\(439\) | 19.9196 | − | 23.7393i | 0.950711 | − | 1.13301i | −0.0402939 | − | 0.999188i | \(-0.512829\pi\) |
0.991005 | − | 0.133825i | \(-0.0427261\pi\) | |||||||
\(440\) | −4.95221 | − | 48.2865i | −0.236087 | − | 2.30197i | ||||
\(441\) | −13.8973 | + | 2.45047i | −0.661778 | + | 0.116689i | ||||
\(442\) | −0.0746942 | − | 15.0037i | −0.00355284 | − | 0.713653i | ||||
\(443\) | −8.22492 | − | 17.6384i | −0.390778 | − | 0.838025i | −0.999019 | − | 0.0442736i | \(-0.985903\pi\) |
0.608242 | − | 0.793752i | \(-0.291875\pi\) | |||||||
\(444\) | 32.7192 | + | 26.9041i | 1.55278 | + | 1.27681i | ||||
\(445\) | −3.34962 | − | 12.5009i | −0.158787 | − | 0.592602i | ||||
\(446\) | 38.7450 | − | 3.58420i | 1.83463 | − | 0.169717i | ||||
\(447\) | −10.5039 | + | 8.81382i | −0.496818 | + | 0.416879i | ||||
\(448\) | 22.9387 | − | 14.1736i | 1.08375 | − | 0.669638i | ||||
\(449\) | −25.4445 | + | 14.6904i | −1.20080 | + | 0.693282i | −0.960733 | − | 0.277474i | \(-0.910503\pi\) |
−0.240067 | + | 0.970756i | \(0.577169\pi\) | |||||||
\(450\) | 30.5619 | + | 43.1877i | 1.44070 | + | 2.03589i | ||||
\(451\) | 9.87505 | − | 6.91458i | 0.464998 | − | 0.325595i | ||||
\(452\) | −17.9842 | − | 30.4454i | −0.845904 | − | 1.43203i | ||||
\(453\) | −10.9843 | + | 23.5558i | −0.516086 | + | 1.10675i | ||||
\(454\) | −6.66896 | + | 11.6849i | −0.312990 | + | 0.548401i | ||||
\(455\) | − | 41.3399i | − | 1.93804i | ||||||
\(456\) | 9.31071 | + | 29.3465i | 0.436014 | + | 1.37428i | ||||
\(457\) | − | 37.2372i | − | 1.74188i | −0.491386 | − | 0.870942i | \(-0.663510\pi\) | ||
0.491386 | − | 0.870942i | \(-0.336490\pi\) | |||||||
\(458\) | 0.0812492 | + | 0.0463715i | 0.00379652 | + | 0.00216680i | ||||
\(459\) | −0.877560 | + | 1.88193i | −0.0409610 | + | 0.0878411i | ||||
\(460\) | 5.48730 | − | 21.3260i | 0.255846 | − | 0.994329i | ||||
\(461\) | 0.0617170 | − | 0.0432147i | 0.00287445 | − | 0.00201271i | −0.572138 | − | 0.820157i | \(-0.693886\pi\) |
0.575013 | + | 0.818144i | \(0.304997\pi\) | |||||||
\(462\) | 40.9769 | − | 28.9974i | 1.90642 | − | 1.34908i | ||||
\(463\) | −4.51150 | + | 2.60471i | −0.209667 | + | 0.121051i | −0.601157 | − | 0.799131i | \(-0.705293\pi\) |
0.391490 | + | 0.920183i | \(0.371960\pi\) | |||||||
\(464\) | −12.8280 | − | 8.60678i | −0.595526 | − | 0.399560i | ||||
\(465\) | 72.1915 | − | 60.5758i | 3.34780 | − | 2.80914i | ||||
\(466\) | 2.02689 | + | 21.9106i | 0.0938937 | + | 1.01499i | ||||
\(467\) | 10.1546 | + | 37.8975i | 0.469899 | + | 1.75369i | 0.640116 | + | 0.768279i | \(0.278886\pi\) |
−0.170217 | + | 0.985407i | \(0.554447\pi\) | |||||||
\(468\) | −19.4155 | + | 1.89361i | −0.897483 | + | 0.0875321i | ||||
\(469\) | 6.30787 | + | 13.5273i | 0.291270 | + | 0.624631i | ||||
\(470\) | −11.9566 | + | 0.0595244i | −0.551515 | + | 0.00274566i | ||||
\(471\) | −41.1271 | + | 7.25182i | −1.89504 | + | 0.334146i | ||||
\(472\) | 9.02357 | + | 7.34484i | 0.415343 | + | 0.338074i | ||||
\(473\) | 8.34868 | − | 9.94957i | 0.383873 | − | 0.457482i | ||||
\(474\) | −2.78753 | − | 15.3613i | −0.128036 | − | 0.705568i | ||||
\(475\) | −19.8936 | + | 46.2965i | −0.912779 | + | 2.12423i | ||||
\(476\) | 8.33744 | + | 22.2162i | 0.382146 | + | 1.01828i | ||||
\(477\) | 15.6941 | − | 1.37305i | 0.718582 | − | 0.0628678i | ||||
\(478\) | 4.51285 | − | 17.1839i | 0.206413 | − | 0.785975i | ||||
\(479\) | −33.7498 | + | 5.95099i | −1.54207 | + | 0.271908i | −0.879062 | − | 0.476708i | \(-0.841830\pi\) |
−0.663004 | + | 0.748616i | \(0.730719\pi\) | |||||||
\(480\) | 3.58340 | − | 57.3750i | 0.163559 | − | 2.61880i | ||||
\(481\) | −24.0209 | − | 8.74288i | −1.09526 | − | 0.398641i | ||||
\(482\) | 10.1199 | + | 0.834631i | 0.460948 | + | 0.0380164i | ||||
\(483\) | 21.9974 | − | 5.89418i | 1.00092 | − | 0.268195i | ||||
\(484\) | −6.66714 | + | 11.8180i | −0.303052 | + | 0.537183i | ||||
\(485\) | −7.53621 | − | 0.659333i | −0.342201 | − | 0.0299387i | ||||
\(486\) | −29.7361 | − | 10.6557i | −1.34886 | − | 0.483353i | ||||
\(487\) | −29.2143 | + | 16.8669i | −1.32382 | + | 0.764310i | −0.984337 | − | 0.176300i | \(-0.943587\pi\) |
−0.339488 | + | 0.940610i | \(0.610254\pi\) | |||||||
\(488\) | 15.9847 | − | 3.06536i | 0.723595 | − | 0.138763i | ||||
\(489\) | −5.23222 | + | 29.6734i | −0.236609 | + | 1.34188i | ||||
\(490\) | 8.70033 | + | 23.5387i | 0.393041 | + | 1.06337i | ||||
\(491\) | −3.28716 | − | 1.53283i | −0.148348 | − | 0.0691756i | 0.347027 | − | 0.937855i | \(-0.387191\pi\) |
−0.495374 | + | 0.868680i | \(0.664969\pi\) | |||||||
\(492\) | 12.8789 | − | 6.16236i | 0.580624 | − | 0.277821i | ||||
\(493\) | 9.61266 | − | 9.61266i | 0.432933 | − | 0.432933i | ||||
\(494\) | −11.1896 | − | 14.8318i | −0.503444 | − | 0.667314i | ||||
\(495\) | − | 55.5381i | − | 2.49625i | ||||||
\(496\) | −37.0862 | + | 0.738610i | −1.66522 | + | 0.0331646i | ||||
\(497\) | 2.19609 | + | 6.03370i | 0.0985080 | + | 0.270648i | ||||
\(498\) | −16.7881 | + | 36.4752i | −0.752294 | + | 1.63449i | ||||
\(499\) | −4.35409 | − | 6.21828i | −0.194916 | − | 0.278368i | 0.709783 | − | 0.704420i | \(-0.248793\pi\) |
−0.904699 | + | 0.426052i | \(0.859904\pi\) | |||||||
\(500\) | 37.3763 | − | 38.1281i | 1.67152 | − | 1.70514i | ||||
\(501\) | 27.3430 | + | 7.32654i | 1.22160 | + | 0.327326i | ||||
\(502\) | 32.3421 | + | 11.5896i | 1.44350 | + | 0.517267i | ||||
\(503\) | −20.9138 | + | 17.5488i | −0.932500 | + | 0.782461i | −0.976265 | − | 0.216581i | \(-0.930509\pi\) |
0.0437643 | + | 0.999042i | \(0.486065\pi\) | |||||||
\(504\) | 27.7635 | − | 13.4547i | 1.23669 | − | 0.599322i | ||||
\(505\) | −36.1933 | − | 20.8962i | −1.61058 | − | 0.929870i | ||||
\(506\) | −12.3093 | + | 10.4336i | −0.547215 | + | 0.463830i | ||||
\(507\) | −8.86312 | + | 4.13294i | −0.393625 | + | 0.183550i | ||||
\(508\) | 19.7908 | − | 3.69319i | 0.878073 | − | 0.163859i | ||||
\(509\) | −24.0796 | − | 16.8607i | −1.06731 | − | 0.747338i | −0.0984980 | − | 0.995137i | \(-0.531404\pi\) |
−0.968811 | + | 0.247799i | \(0.920293\pi\) | |||||||
\(510\) | 48.9302 | + | 12.8501i | 2.16667 | + | 0.569011i | ||||
\(511\) | 9.92057 | − | 11.8229i | 0.438860 | − | 0.523013i | ||||
\(512\) | −15.2673 | + | 16.7006i | −0.674726 | + | 0.738069i | ||||
\(513\) | 0.523487 | + | 2.51745i | 0.0231125 | + | 0.111148i | ||||
\(514\) | −20.8957 | + | 30.1607i | −0.921671 | + | 1.33033i | ||||
\(515\) | 0.638963 | + | 7.30338i | 0.0281561 | + | 0.321825i | ||||
\(516\) | 11.6845 | − | 10.0044i | 0.514380 | − | 0.440418i | ||||
\(517\) | 7.17710 | + | 5.02546i | 0.315649 | + | 0.221020i | ||||
\(518\) | 40.4274 | − | 0.201263i | 1.77628 | − | 0.00884299i | ||||
\(519\) | 45.8518 | + | 16.6887i | 2.01267 | + | 0.732552i | ||||
\(520\) | 9.47808 | + | 33.3709i | 0.415641 | + | 1.46341i | ||||
\(521\) | −8.12764 | + | 14.0775i | −0.356078 | + | 0.616746i | −0.987302 | − | 0.158855i | \(-0.949220\pi\) |
0.631223 | + | 0.775601i | \(0.282553\pi\) | |||||||
\(522\) | −13.5962 | − | 11.2937i | −0.595092 | − | 0.494314i | ||||
\(523\) | 0.417063 | − | 4.76705i | 0.0182369 | − | 0.208449i | −0.981609 | − | 0.190902i | \(-0.938859\pi\) |
0.999846 | − | 0.0175468i | \(-0.00558561\pi\) | |||||||
\(524\) | −23.8133 | + | 17.0301i | −1.04029 | + | 0.743962i | ||||
\(525\) | 93.9873 | + | 25.1838i | 4.10194 | + | 1.09911i | ||||
\(526\) | 6.30211 | + | 8.90566i | 0.274785 | + | 0.388305i | ||||
\(527\) | 5.66840 | − | 32.1471i | 0.246919 | − | 1.40035i | ||||
\(528\) | −26.4296 | + | 32.8025i | −1.15020 | + | 1.42755i | ||||
\(529\) | 14.7340 | − | 5.36274i | 0.640609 | − | 0.233163i | ||||
\(530\) | −7.38561 | − | 27.0246i | −0.320811 | − | 1.17387i | ||||
\(531\) | 9.41330 | + | 9.41330i | 0.408502 | + | 0.408502i | ||||
\(532\) | 24.7315 | + | 15.8668i | 1.07225 | + | 0.687912i | ||||
\(533\) | −6.09223 | + | 6.09223i | −0.263884 | + | 0.263884i | ||||
\(534\) | −5.56731 | + | 9.75470i | −0.240921 | + | 0.422127i | ||||
\(535\) | 16.4633 | + | 45.2324i | 0.711769 | + | 1.95557i | ||||
\(536\) | −8.19334 | − | 9.47344i | −0.353898 | − | 0.409190i | ||||
\(537\) | 6.97624 | + | 1.23010i | 0.301047 | + | 0.0530827i | ||||
\(538\) | 38.9510 | + | 6.66835i | 1.67930 | + | 0.287493i | ||||
\(539\) | 4.75947 | − | 17.7626i | 0.205005 | − | 0.765089i | ||||
\(540\) | 0.786583 | − | 4.73621i | 0.0338491 | − | 0.203814i | ||||
\(541\) | −3.36394 | − | 0.294307i | −0.144627 | − | 0.0126532i | 0.0146122 | − | 0.999893i | \(-0.495349\pi\) |
−0.159239 | + | 0.987240i | \(0.550904\pi\) | |||||||
\(542\) | −3.14636 | − | 34.0120i | −0.135148 | − | 1.46094i | ||||
\(543\) | 24.3482 | + | 14.0574i | 1.04488 | + | 0.603262i | ||||
\(544\) | −11.8238 | − | 16.0221i | −0.506941 | − | 0.686941i | ||||
\(545\) | −5.47926 | + | 15.0542i | −0.234706 | + | 0.644849i | ||||
\(546\) | −25.2420 | + | 25.4946i | −1.08026 | + | 1.09107i | ||||
\(547\) | 1.68888 | − | 2.41197i | 0.0722112 | − | 0.103128i | −0.781422 | − | 0.624003i | \(-0.785505\pi\) |
0.853633 | + | 0.520875i | \(0.174394\pi\) | |||||||
\(548\) | −14.9711 | + | 12.8184i | −0.639534 | + | 0.547576i | ||||
\(549\) | 18.5518 | − | 1.62307i | 0.791770 | − | 0.0692709i | ||||
\(550\) | −67.8368 | + | 12.3100i | −2.89257 | + | 0.524899i | ||||
\(551\) | 2.41645 | − | 16.6595i | 0.102944 | − | 0.709720i | ||||
\(552\) | −16.4057 | + | 9.80137i | −0.698271 | + | 0.417174i | ||||
\(553\) | −11.4141 | − | 9.57756i | −0.485377 | − | 0.407279i | ||||
\(554\) | −30.3495 | + | 17.7243i | −1.28943 | + | 0.753034i | ||||
\(555\) | 49.4368 | − | 70.6031i | 2.09848 | − | 2.99693i | ||||
\(556\) | 4.55357 | + | 3.12135i | 0.193115 | + | 0.132375i | ||||
\(557\) | −12.8216 | − | 27.4961i | −0.543270 | − | 1.16505i | −0.965941 | − | 0.258763i | \(-0.916685\pi\) |
0.422671 | − | 0.906283i | \(-0.361093\pi\) | |||||||
\(558\) | −42.2980 | − | 3.48850i | −1.79062 | − | 0.147680i | ||||
\(559\) | −4.64127 | + | 8.03891i | −0.196305 | + | 0.340010i | ||||
\(560\) | −32.3577 | − | 44.3069i | −1.36736 | − | 1.87231i | ||||
\(561\) | −23.8287 | − | 28.3979i | −1.00605 | − | 1.19896i | ||||
\(562\) | −3.09678 | + | 1.46287i | −0.130630 | + | 0.0617073i | ||||
\(563\) | 9.17390 | − | 34.2375i | 0.386634 | − | 1.44294i | −0.448941 | − | 0.893561i | \(-0.648199\pi\) |
0.835575 | − | 0.549376i | \(-0.185135\pi\) | |||||||
\(564\) | 7.41005 | + | 7.26394i | 0.312019 | + | 0.305867i | ||||
\(565\) | −58.9363 | + | 41.2677i | −2.47947 | + | 1.73614i | ||||
\(566\) | −10.1509 | + | 3.75195i | −0.426673 | + | 0.157706i | ||||
\(567\) | −26.0842 | + | 9.49388i | −1.09543 | + | 0.398705i | ||||
\(568\) | −3.15611 | − | 4.36710i | −0.132428 | − | 0.183240i | ||||
\(569\) | −11.1768 | −0.468554 | −0.234277 | − | 0.972170i | \(-0.575272\pi\) | ||||
−0.234277 | + | 0.972170i | \(0.575272\pi\) | |||||||
\(570\) | 58.0701 | − | 23.4997i | 2.43229 | − | 0.984294i | ||||
\(571\) | 21.3354 | + | 21.3354i | 0.892860 | + | 0.892860i | 0.994791 | − | 0.101931i | \(-0.0325022\pi\) |
−0.101931 | + | 0.994791i | \(0.532502\pi\) | |||||||
\(572\) | 8.45612 | − | 23.9730i | 0.353568 | − | 1.00236i | ||||
\(573\) | 8.79753 | − | 18.8664i | 0.367522 | − | 0.788153i | ||||
\(574\) | 5.69705 | − | 12.3779i | 0.237790 | − | 0.516643i | ||||
\(575\) | −30.8023 | − | 5.43128i | −1.28455 | − | 0.226500i | ||||
\(576\) | −19.3268 | + | 17.2265i | −0.805285 | + | 0.717771i | ||||
\(577\) | −16.4782 | − | 28.5410i | −0.685995 | − | 1.18818i | −0.973123 | − | 0.230286i | \(-0.926034\pi\) |
0.287128 | − | 0.957892i | \(-0.407299\pi\) | |||||||
\(578\) | −5.89374 | + | 2.78410i | −0.245147 | + | 0.115803i | ||||
\(579\) | 0.814653 | − | 9.31152i | 0.0338558 | − | 0.386974i | ||||
\(580\) | −15.4441 | + | 27.3759i | −0.641282 | + | 1.13672i | ||||
\(581\) | 9.91839 | + | 37.0159i | 0.411484 | + | 1.53568i | ||||
\(582\) | 4.24505 | + | 5.00821i | 0.175963 | + | 0.207597i | ||||
\(583\) | −7.02143 | + | 19.2912i | −0.290798 | + | 0.798960i | ||||
\(584\) | −5.29756 | + | 11.8183i | −0.219215 | + | 0.489046i | ||||
\(585\) | 6.89252 | + | 39.0894i | 0.284970 | + | 1.61615i | ||||
\(586\) | −12.0681 | − | 20.6643i | −0.498529 | − | 0.853635i | ||||
\(587\) | −1.74705 | − | 19.9688i | −0.0721083 | − | 0.824202i | −0.943014 | − | 0.332752i | \(-0.892023\pi\) |
0.870906 | − | 0.491450i | \(-0.163533\pi\) | |||||||
\(588\) | 9.00711 | − | 19.8289i | 0.371447 | − | 0.817730i | ||||
\(589\) | −18.1918 | − | 36.0968i | −0.749580 | − | 1.48734i | ||||
\(590\) | 13.4820 | − | 19.4597i | 0.555044 | − | 0.801144i | ||||
\(591\) | −3.80104 | − | 3.18946i | −0.156354 | − | 0.131197i | ||||
\(592\) | −32.5882 | + | 9.43133i | −1.33937 | + | 0.387625i | ||||
\(593\) | 5.93118 | + | 33.6374i | 0.243565 | + | 1.38132i | 0.823803 | + | 0.566876i | \(0.191848\pi\) |
−0.580238 | + | 0.814447i | \(0.697041\pi\) | |||||||
\(594\) | −2.47528 | + | 2.50005i | −0.101562 | + | 0.102578i | ||||
\(595\) | 43.7582 | − | 20.4048i | 1.79391 | − | 0.836515i | ||||
\(596\) | −1.06599 | − | 10.9297i | −0.0436645 | − | 0.447700i | ||||
\(597\) | −26.5519 | + | 7.11457i | −1.08670 | + | 0.291180i | ||||
\(598\) | 7.36880 | − | 8.87111i | 0.301333 | − | 0.362767i | ||||
\(599\) | 6.21497 | + | 7.40671i | 0.253937 | + | 0.302630i | 0.877920 | − | 0.478808i | \(-0.158931\pi\) |
−0.623983 | + | 0.781438i | \(0.714487\pi\) | |||||||
\(600\) | −81.6436 | + | 1.21944i | −3.33309 | + | 0.0497835i | ||||
\(601\) | −0.688482 | − | 1.19249i | −0.0280838 | − | 0.0486425i | 0.851642 | − | 0.524124i | \(-0.175607\pi\) |
−0.879726 | + | 0.475482i | \(0.842274\pi\) | |||||||
\(602\) | 2.47726 | − | 14.4701i | 0.100965 | − | 0.589757i | ||||
\(603\) | −8.21985 | − | 11.7392i | −0.334738 | − | 0.478056i | ||||
\(604\) | −10.5868 | − | 17.9224i | −0.430772 | − | 0.729254i | ||||
\(605\) | 25.0222 | + | 11.6680i | 1.01730 | + | 0.474373i | ||||
\(606\) | 9.56152 | + | 34.9864i | 0.388410 | + | 1.42123i | ||||
\(607\) | 21.4338 | 0.869971 | 0.434986 | − | 0.900437i | \(-0.356753\pi\) | ||||
0.434986 | + | 0.900437i | \(0.356753\pi\) | |||||||
\(608\) | −23.6019 | − | 7.13795i | −0.957183 | − | 0.289482i | ||||
\(609\) | −32.5063 | −1.31722 | ||||||||
\(610\) | −8.73044 | − | 31.9455i | −0.353485 | − | 1.29343i | ||||
\(611\) | −5.67514 | − | 2.64636i | −0.229592 | − | 0.107060i | ||||
\(612\) | −11.5876 | − | 19.6167i | −0.468402 | − | 0.792956i | ||||
\(613\) | −17.8014 | − | 25.4230i | −0.718990 | − | 1.02682i | −0.997788 | − | 0.0664747i | \(-0.978825\pi\) |
0.278798 | − | 0.960350i | \(-0.410064\pi\) | |||||||
\(614\) | −4.49578 | + | 26.2606i | −0.181435 | + | 1.05979i | ||||
\(615\) | −14.5250 | − | 25.1581i | −0.585706 | − | 1.01447i | ||||
\(616\) | 0.600421 | + | 40.1992i | 0.0241916 | + | 1.61967i | ||||
\(617\) | 24.9294 | + | 29.7097i | 1.00362 | + | 1.19607i | 0.980537 | + | 0.196333i | \(0.0629033\pi\) |
0.0230817 | + | 0.999734i | \(0.492652\pi\) | |||||||
\(618\) | 4.06537 | − | 4.89420i | 0.163533 | − | 0.196874i | ||||
\(619\) | 41.2260 | − | 11.0465i | 1.65701 | − | 0.443995i | 0.695448 | − | 0.718577i | \(-0.255206\pi\) |
0.961564 | + | 0.274582i | \(0.0885394\pi\) | |||||||
\(620\) | 7.32633 | + | 75.1182i | 0.294233 | + | 3.01682i | ||||
\(621\) | −1.44650 | + | 0.674516i | −0.0580462 | + | 0.0270674i | ||||
\(622\) | 0.122706 | − | 0.123933i | 0.00492004 | − | 0.00496928i | ||||
\(623\) | 1.86139 | + | 10.5564i | 0.0745749 | + | 0.422935i | ||||
\(624\) | 14.5310 | − | 26.3674i | 0.581706 | − | 1.05554i | ||||
\(625\) | −38.9434 | − | 32.6774i | −1.55773 | − | 1.30709i | ||||
\(626\) | 5.81659 | − | 8.39561i | 0.232478 | − | 0.335556i | ||||
\(627\) | −44.6822 | − | 10.5238i | −1.78444 | − | 0.420282i | ||||
\(628\) | 13.8324 | − | 30.4517i | 0.551975 | − | 1.21516i | ||||
\(629\) | −2.60204 | − | 29.7414i | −0.103750 | − | 1.18587i | ||||
\(630\) | −31.6577 | − | 54.2076i | −1.26127 | − | 2.15968i | ||||
\(631\) | 5.92290 | + | 33.5904i | 0.235787 | + | 1.33721i | 0.840950 | + | 0.541112i | \(0.181997\pi\) |
−0.605163 | + | 0.796101i | \(0.706892\pi\) | |||||||
\(632\) | 11.4097 | + | 5.11439i | 0.453854 | + | 0.203440i | ||||
\(633\) | −1.10747 | + | 3.04275i | −0.0440179 | + | 0.120938i | ||||
\(634\) | −5.07331 | − | 5.98537i | −0.201487 | − | 0.237709i | ||||
\(635\) | −10.6022 | − | 39.5678i | −0.420734 | − | 1.57020i | ||||
\(636\) | −11.9464 | + | 21.1759i | −0.473706 | + | 0.839680i | ||||
\(637\) | −1.14545 | + | 13.0925i | −0.0453842 | + | 0.518744i | ||||
\(638\) | 20.8259 | − | 9.83779i | 0.824505 | − | 0.389482i | ||||
\(639\) | −3.08252 | − | 5.33908i | −0.121943 | − | 0.211211i | ||||
\(640\) | 36.2786 | + | 28.3473i | 1.43404 | + | 1.12053i | ||||
\(641\) | 24.0211 | + | 4.23556i | 0.948775 | + | 0.167295i | 0.626561 | − | 0.779372i | \(-0.284462\pi\) |
0.322214 | + | 0.946667i | \(0.395573\pi\) | |||||||
\(642\) | 17.4658 | − | 37.9476i | 0.689320 | − | 1.49767i | ||||
\(643\) | 6.10157 | − | 13.0849i | 0.240622 | − | 0.516016i | −0.748496 | − | 0.663140i | \(-0.769224\pi\) |
0.989118 | + | 0.147123i | \(0.0470014\pi\) | |||||||
\(644\) | −6.06709 | + | 17.2001i | −0.239077 | + | 0.677781i | ||||
\(645\) | −22.1314 | − | 22.1314i | −0.871421 | − | 0.871421i | ||||
\(646\) | 10.1764 | − | 19.1650i | 0.400386 | − | 0.754035i | ||||
\(647\) | −33.2833 | −1.30850 | −0.654251 | − | 0.756277i | \(-0.727016\pi\) | ||||
−0.654251 | + | 0.756277i | \(0.727016\pi\) | |||||||
\(648\) | 18.8794 | − | 13.6442i | 0.741651 | − | 0.535993i | ||||
\(649\) | −16.3014 | + | 5.93323i | −0.639886 | + | 0.232900i | ||||
\(650\) | 46.2178 | − | 17.0830i | 1.81281 | − | 0.670049i | ||||
\(651\) | −63.9387 | + | 44.7703i | −2.50595 | + | 1.75469i | ||||
\(652\) | −17.2326 | − | 16.8928i | −0.674882 | − | 0.661574i | ||||
\(653\) | 0.470048 | − | 1.75424i | 0.0183944 | − | 0.0686488i | −0.956119 | − | 0.292980i | \(-0.905353\pi\) |
0.974513 | + | 0.224331i | \(0.0720197\pi\) | |||||||
\(654\) | 12.5711 | − | 5.93839i | 0.491570 | − | 0.232209i | ||||
\(655\) | 38.2899 | + | 45.6322i | 1.49611 | + | 1.78300i | ||||
\(656\) | −1.76095 | + | 11.2980i | −0.0687535 | + | 0.441113i | ||||
\(657\) | −7.40931 | + | 12.8333i | −0.289065 | + | 0.500674i | ||||
\(658\) | 9.86976 | + | 0.814002i | 0.384763 | + | 0.0317331i | ||||
\(659\) | 14.1783 | + | 30.4054i | 0.552308 | + | 1.18443i | 0.962213 | + | 0.272300i | \(0.0877842\pi\) |
−0.409905 | + | 0.912128i | \(0.634438\pi\) | |||||||
\(660\) | 70.6975 | + | 48.4611i | 2.75190 | + | 1.88635i | ||||
\(661\) | 15.7046 | − | 22.4284i | 0.610837 | − | 0.872365i | −0.387947 | − | 0.921682i | \(-0.626816\pi\) |
0.998783 | + | 0.0493169i | \(0.0157044\pi\) | |||||||
\(662\) | 24.9849 | − | 14.5913i | 0.971065 | − | 0.567109i | ||||
\(663\) | 20.2957 | + | 17.0301i | 0.788218 | + | 0.661394i | ||||
\(664\) | −16.4932 | − | 27.6065i | −0.640059 | − | 1.07134i | ||||
\(665\) | 28.3014 | − | 52.6646i | 1.09748 | − | 2.04224i | ||||
\(666\) | −38.1930 | + | 6.93068i | −1.47995 | + | 0.268558i | ||||
\(667\) | 10.4092 | − | 0.910689i | 0.403047 | − | 0.0352620i | ||||
\(668\) | −17.2211 | + | 14.7449i | −0.666304 | + | 0.570496i | ||||
\(669\) | −39.4097 | + | 56.2829i | −1.52367 | + | 2.17602i | ||||
\(670\) | −17.9306 | + | 18.1100i | −0.692719 | + | 0.699650i | ||||
\(671\) | −8.29994 | + | 22.8039i | −0.320416 | + | 0.880335i | ||||
\(672\) | −7.09847 | + | 47.0820i | −0.273829 | + | 1.81623i | ||||
\(673\) | 27.5668 | + | 15.9157i | 1.06262 | + | 0.613506i | 0.926157 | − | 0.377139i | \(-0.123092\pi\) |
0.136466 | + | 0.990645i | \(0.456425\pi\) | |||||||
\(674\) | −3.39658 | − | 36.7169i | −0.130832 | − | 1.41428i | ||||
\(675\) | −6.79338 | − | 0.594344i | −0.261477 | − | 0.0228763i | ||||
\(676\) | 1.28317 | − | 7.72631i | 0.0493528 | − | 0.297166i | ||||
\(677\) | 7.22701 | − | 26.9716i | 0.277757 | − | 1.03660i | −0.676215 | − | 0.736704i | \(-0.736381\pi\) |
0.953972 | − | 0.299897i | \(-0.0969524\pi\) | |||||||
\(678\) | 61.5444 | + | 10.5363i | 2.36360 | + | 0.404644i | ||||
\(679\) | 6.17060 | + | 1.08804i | 0.236806 | + | 0.0417552i | ||||
\(680\) | −30.6448 | + | 26.5040i | −1.17518 | + | 1.01638i | ||||
\(681\) | −8.12553 | − | 22.3247i | −0.311371 | − | 0.855485i | ||||
\(682\) | 27.4143 | − | 48.0337i | 1.04975 | − | 1.83930i | ||||
\(683\) | 3.43422 | − | 3.43422i | 0.131407 | − | 0.131407i | −0.638344 | − | 0.769751i | \(-0.720380\pi\) |
0.769751 | + | 0.638344i | \(0.220380\pi\) | |||||||
\(684\) | −26.0306 | − | 10.8796i | −0.995305 | − | 0.415991i | ||||
\(685\) | 28.3565 | + | 28.3565i | 1.08345 | + | 1.08345i | ||||
\(686\) | 3.31675 | + | 12.1363i | 0.126634 | + | 0.463366i | ||||
\(687\) | −0.155231 | + | 0.0564995i | −0.00592244 | + | 0.00215559i | ||||
\(688\) | 1.31787 | + | 12.2487i | 0.0502431 | + | 0.466978i | ||||
\(689\) | 2.54777 | − | 14.4491i | 0.0970623 | − | 0.550468i | ||||
\(690\) | 22.4615 | + | 31.7408i | 0.855093 | + | 1.20835i | ||||
\(691\) | −46.9247 | − | 12.5734i | −1.78510 | − | 0.478316i | −0.793602 | − | 0.608437i | \(-0.791797\pi\) |
−0.991498 | + | 0.130121i | \(0.958464\pi\) | |||||||
\(692\) | −31.7866 | + | 22.7322i | −1.20835 | + | 0.864150i | ||||
\(693\) | −4.00917 | + | 45.8250i | −0.152296 | + | 1.74075i | ||||
\(694\) | −9.93003 | − | 8.24839i | −0.376939 | − | 0.313105i | ||||
\(695\) | 5.61649 | − | 9.72804i | 0.213045 | − | 0.369006i | ||||
\(696\) | 26.2402 | − | 7.45278i | 0.994631 | − | 0.282497i | ||||
\(697\) | −9.45565 | − | 3.44158i | −0.358158 | − | 0.130359i | ||||
\(698\) | −16.3141 | + | 0.0812179i | −0.617497 | + | 0.00307414i | ||||
\(699\) | −31.8283 | − | 22.2864i | −1.20386 | − | 0.842951i | ||||
\(700\) | −59.1948 | + | 50.6832i | −2.23735 | + | 1.91564i | ||||
\(701\) | 4.16482 | + | 47.6041i | 0.157303 | + | 1.79798i | 0.507860 | + | 0.861440i | \(0.330437\pi\) |
−0.350557 | + | 0.936541i | \(0.614008\pi\) | |||||||
\(702\) | 1.43191 | − | 2.06680i | 0.0540440 | − | 0.0780065i | ||||
\(703\) | −24.6158 | − | 27.5827i | −0.928401 | − | 1.04030i | ||||
\(704\) | −9.70122 | − | 32.3124i | −0.365628 | − | 1.21782i | ||||
\(705\) | 13.5714 | − | 16.1738i | 0.511129 | − | 0.609139i | ||||
\(706\) | −42.3518 | − | 11.1225i | −1.59393 | − | 0.418599i | ||||
\(707\) | 28.3550 | + | 19.8544i | 1.06640 | + | 0.746701i | ||||
\(708\) | −20.1965 | + | 3.76890i | −0.759031 | + | 0.141644i | ||||
\(709\) | 33.0754 | − | 15.4233i | 1.24217 | − | 0.579236i | 0.313309 | − | 0.949651i | \(-0.398563\pi\) |
0.928866 | + | 0.370416i | \(0.120785\pi\) | |||||||
\(710\) | −8.36327 | + | 7.08887i | −0.313868 | + | 0.266041i | ||||
\(711\) | 12.3896 | + | 7.15312i | 0.464645 | + | 0.268263i | ||||
\(712\) | −3.92287 | − | 8.09475i | −0.147016 | − | 0.303364i | ||||
\(713\) | 19.2203 | − | 16.1277i | 0.719805 | − | 0.603988i | ||||
\(714\) | −39.4452 | − | 14.1349i | −1.47620 | − | 0.528985i | ||||
\(715\) | −49.9613 | − | 13.3871i | −1.86845 | − | 0.500649i | ||||
\(716\) | −3.97152 | + | 4.05141i | −0.148423 | + | 0.151408i | ||||
\(717\) | 17.9946 | + | 25.6990i | 0.672021 | + | 0.959745i | ||||
\(718\) | −2.89258 | + | 6.28466i | −0.107950 | + | 0.234541i | ||||
\(719\) | −0.580454 | − | 1.59478i | −0.0216473 | − | 0.0594754i | 0.928398 | − | 0.371587i | \(-0.121186\pi\) |
−0.950046 | + | 0.312111i | \(0.898964\pi\) | |||||||
\(720\) | 37.9834 | + | 36.5000i | 1.41556 | + | 1.36027i | ||||
\(721\) | − | 6.07221i | − | 0.226141i | ||||||
\(722\) | −4.10099 | − | 26.5553i | −0.152623 | − | 0.988284i | ||||
\(723\) | −12.6788 | + | 12.6788i | −0.471530 | + | 0.471530i | ||||
\(724\) | −20.3113 | + | 9.71869i | −0.754864 | + | 0.361192i | ||||
\(725\) | 40.4620 | + | 18.8678i | 1.50272 | + | 0.700731i | ||||
\(726\) | −8.30689 | − | 22.4742i | −0.308298 | − | 0.834097i | ||||
\(727\) | −2.99247 | + | 16.9711i | −0.110984 | + | 0.629424i | 0.877676 | + | 0.479255i | \(0.159093\pi\) |
−0.988660 | + | 0.150169i | \(0.952018\pi\) | |||||||
\(728\) | −5.41148 | − | 28.2189i | −0.200563 | − | 1.04586i | ||||
\(729\) | 26.9086 | − | 15.5357i | 0.996615 | − | 0.575396i | ||||
\(730\) | 24.8075 | + | 8.88960i | 0.918168 | + | 0.329019i | ||||
\(731\) | −10.8000 | − | 0.944882i | −0.399454 | − | 0.0349477i | ||||
\(732\) | −14.1217 | + | 25.0318i | −0.521953 | + | 0.925202i | ||||
\(733\) | 42.6131 | − | 11.4182i | 1.57395 | − | 0.421739i | 0.636905 | − | 0.770942i | \(-0.280214\pi\) |
0.937047 | + | 0.349203i | \(0.113548\pi\) | |||||||
\(734\) | 35.3699 | + | 2.91711i | 1.30553 | + | 0.107672i | ||||
\(735\) | −41.6410 | − | 15.1561i | −1.53595 | − | 0.559040i | ||||
\(736\) | 0.954045 | − | 15.2755i | 0.0351666 | − | 0.563064i | ||||
\(737\) | 18.3911 | − | 3.24284i | 0.677443 | − | 0.119451i | ||||
\(738\) | −3.32317 | + | 12.6539i | −0.122328 | + | 0.465796i | ||||
\(739\) | −13.9952 | + | 1.22442i | −0.514822 | + | 0.0450411i | −0.341607 | − | 0.939843i | \(-0.610971\pi\) |
−0.173215 | + | 0.984884i | \(0.555416\pi\) | |||||||
\(740\) | 24.2538 | + | 64.6273i | 0.891588 | + | 2.37575i | ||||
\(741\) | 32.7547 | + | 1.86175i | 1.20328 | + | 0.0683930i | ||||
\(742\) | 4.14309 | + | 22.8314i | 0.152098 | + | 0.838167i | ||||
\(743\) | 9.15583 | − | 10.9115i | 0.335895 | − | 0.400304i | −0.571487 | − | 0.820611i | \(-0.693633\pi\) |
0.907382 | + | 0.420307i | \(0.138078\pi\) | |||||||
\(744\) | 41.3488 | − | 50.7994i | 1.51592 | − | 1.86240i | ||||
\(745\) | −22.0049 | + | 3.88006i | −0.806198 | + | 0.142155i | ||||
\(746\) | −0.281400 | + | 0.00140092i | −0.0103028 | + | 5.12913e-5i | ||||
\(747\) | −15.5500 | − | 33.3472i | −0.568946 | − | 1.22011i | ||||
\(748\) | 29.5493 | − | 2.88196i | 1.08043 | − | 0.105375i | ||||
\(749\) | −10.3188 | − | 38.5101i | −0.377039 | − | 1.40713i | ||||
\(750\) | 8.68461 | + | 93.8802i | 0.317117 | + | 3.42802i | ||||
\(751\) | −16.6583 | + | 13.9779i | −0.607868 | + | 0.510062i | −0.893964 | − | 0.448139i | \(-0.852087\pi\) |
0.286096 | + | 0.958201i | \(0.407642\pi\) | |||||||
\(752\) | −8.15383 | + | 1.60577i | −0.297340 | + | 0.0585564i | ||||
\(753\) | −52.5386 | + | 30.3332i | −1.91461 | + | 1.10540i | ||||
\(754\) | −13.4370 | + | 9.50871i | −0.489346 | + | 0.346287i | ||||
\(755\) | −34.6944 | + | 24.2933i | −1.26266 | + | 0.884122i | ||||
\(756\) | −0.990913 | + | 3.85111i | −0.0360391 | + | 0.140064i | ||||
\(757\) | −18.4476 | + | 39.5610i | −0.670489 | + | 1.43787i | 0.216596 | + | 0.976261i | \(0.430504\pi\) |
−0.887085 | + | 0.461606i | \(0.847273\pi\) | |||||||
\(758\) | −3.33352 | − | 1.90254i | −0.121079 | − | 0.0691035i | ||||
\(759\) | − | 28.4937i | − | 1.03425i | ||||||
\(760\) | −10.7713 | + | 49.0013i | −0.390717 | + | 1.77746i | ||||
\(761\) | 22.0435i | 0.799078i | 0.916716 | + | 0.399539i | \(0.130830\pi\) | ||||
−0.916716 | + | 0.399539i | \(0.869170\pi\) | |||||||
\(762\) | −17.6216 | + | 30.8754i | −0.638363 | + | 1.11850i | ||||
\(763\) | 5.60771 | − | 12.0258i | 0.203013 | − | 0.435363i | ||||
\(764\) | 8.47922 | + | 14.3545i | 0.306768 | + | 0.519326i | ||||
\(765\) | −37.9740 | + | 26.5897i | −1.37295 | + | 0.961353i | ||||
\(766\) | 12.0223 | + | 16.9889i | 0.434382 | + | 0.613835i | ||||
\(767\) | 10.7371 | − | 6.19906i | 0.387694 | − | 0.223835i | ||||
\(768\) | −5.06446 | − | 39.6336i | −0.182748 | − | 1.43015i | ||||
\(769\) | 20.9763 | − | 17.6012i | 0.756425 | − | 0.634716i | −0.180769 | − | 0.983526i | \(-0.557859\pi\) |
0.937193 | + | 0.348810i | \(0.113414\pi\) | |||||||
\(770\) | 81.4550 | − | 7.53518i | 2.93543 | − | 0.271549i | ||||
\(771\) | −16.7692 | − | 62.5835i | −0.603928 | − | 2.25389i | ||||
\(772\) | 5.78218 | + | 4.75453i | 0.208105 | + | 0.171119i | ||||
\(773\) | −17.9864 | − | 38.5719i | −0.646924 | − | 1.38733i | −0.906746 | − | 0.421677i | \(-0.861442\pi\) |
0.259822 | − | 0.965657i | \(-0.416336\pi\) | |||||||
\(774\) | 0.0701723 | + | 14.0954i | 0.00252229 | + | 0.506649i | ||||
\(775\) | 105.573 | − | 18.6155i | 3.79231 | − | 0.668687i | ||||
\(776\) | −5.23057 | + | 0.536441i | −0.187766 | + | 0.0192571i | ||||
\(777\) | −45.8875 | + | 54.6865i | −1.64620 | + | 1.96187i | ||||
\(778\) | 38.5944 | − | 7.00353i | 1.38368 | − | 0.251089i | ||||
\(779\) | −11.9319 | + | 3.59038i | −0.427504 | + | 0.128639i | ||||
\(780\) | −55.7733 | − | 25.3345i | −1.99700 | − | 0.907122i | ||||
\(781\) | 8.00319 | − | 0.700188i | 0.286377 | − | 0.0250547i | ||||
\(782\) | 13.0272 | + | 3.42121i | 0.465852 | + | 0.122342i | ||||
\(783\) | 2.24355 | − | 0.395598i | 0.0801779 | − | 0.0141375i | ||||
\(784\) | 9.02016 | + | 14.9288i | 0.322149 | + | 0.533170i | ||||
\(785\) | −63.9491 | − | 23.2756i | −2.28244 | − | 0.830741i | ||||
\(786\) | 4.24920 | − | 51.5215i | 0.151564 | − | 1.83771i | ||||
\(787\) | −53.9825 | + | 14.4646i | −1.92427 | + | 0.515606i | −0.939225 | + | 0.343303i | \(0.888454\pi\) |
−0.985044 | + | 0.172303i | \(0.944879\pi\) | |||||||
\(788\) | 3.82807 | − | 1.06669i | 0.136369 | − | 0.0379993i | ||||
\(789\) | −19.1917 | − | 1.67906i | −0.683243 | − | 0.0597760i | ||||
\(790\) | 8.58223 | − | 23.9498i | 0.305342 | − | 0.852096i | ||||
\(791\) | 51.6079 | − | 29.7958i | 1.83497 | − | 1.05942i | ||||
\(792\) | −7.27006 | − | 37.9107i | −0.258330 | − | 1.34710i | ||||
\(793\) | 3.01169 | − | 17.0801i | 0.106948 | − | 0.606533i | ||||
\(794\) | −42.8208 | + | 15.8274i | −1.51966 | + | 0.561692i | ||||
\(795\) | 44.8355 | + | 20.9071i | 1.59015 | + | 0.741500i | ||||
\(796\) | 7.32327 | − | 20.7614i | 0.259567 | − | 0.735869i | ||||
\(797\) | −23.4598 | + | 23.4598i | −0.830989 | + | 0.830989i | −0.987652 | − | 0.156663i | \(-0.949926\pi\) |
0.156663 | + | 0.987652i | \(0.449926\pi\) | |||||||
\(798\) | −49.6106 | + | 15.1979i | −1.75619 | + | 0.537999i | ||||
\(799\) | − | 7.31334i | − | 0.258727i | ||||||
\(800\) | 36.1637 | − | 54.4848i | 1.27858 | − | 1.92633i | ||||
\(801\) | −3.52011 | − | 9.67142i | −0.124377 | − | 0.341723i | ||||
\(802\) | 16.0305 | + | 7.37820i | 0.566056 | + | 0.260533i | ||||
\(803\) | −11.0760 | − | 15.8181i | −0.390862 | − | 0.558209i | ||||
\(804\) | 22.1159 | − | 0.220208i | 0.779966 | − | 0.00776614i | ||||
\(805\) | 35.8462 | + | 9.60496i | 1.26341 | + | 0.338530i | ||||
\(806\) | −13.3338 | + | 37.2098i | −0.469665 | + | 1.31066i | ||||
\(807\) | −53.4554 | + | 44.8544i | −1.88172 | + | 1.57895i | ||||
\(808\) | −27.4411 | − | 9.52611i | −0.965376 | − | 0.335127i | ||||
\(809\) | 9.27943 | + | 5.35748i | 0.326247 | + | 0.188359i | 0.654174 | − | 0.756344i | \(-0.273016\pi\) |
−0.327926 | + | 0.944703i | \(0.606350\pi\) | |||||||
\(810\) | −30.6458 | − | 36.1552i | −1.07678 | − | 1.27036i | ||||
\(811\) | −12.8401 | + | 5.98745i | −0.450878 | + | 0.210248i | −0.634774 | − | 0.772698i | \(-0.718907\pi\) |
0.183896 | + | 0.982946i | \(0.441129\pi\) | |||||||
\(812\) | 14.7193 | − | 21.4732i | 0.516546 | − | 0.753562i | ||||
\(813\) | 49.4075 | + | 34.5955i | 1.73280 | + | 1.21332i | ||||
\(814\) | 12.8484 | − | 48.9237i | 0.450335 | − | 1.71477i | ||||
\(815\) | −31.5613 | + | 37.6133i | −1.10554 | + | 1.31754i | ||||
\(816\) | 35.0822 | + | 2.36647i | 1.22812 | + | 0.0828431i | ||||
\(817\) | −11.4162 | + | 7.06367i | −0.399401 | + | 0.247127i | ||||
\(818\) | 13.4767 | + | 9.33687i | 0.471203 | + | 0.326456i | ||||
\(819\) | −2.86530 | − | 32.7506i | −0.100122 | − | 1.14440i | ||||
\(820\) | 23.1962 | + | 1.79688i | 0.810048 | + | 0.0627497i | ||||
\(821\) | 22.7389 | + | 15.9220i | 0.793595 | + | 0.555681i | 0.898589 | − | 0.438792i | \(-0.144593\pi\) |
−0.104994 | + | 0.994473i | \(0.533482\pi\) | |||||||
\(822\) | −0.173258 | − | 34.8021i | −0.00604308 | − | 1.21386i | ||||
\(823\) | 18.6565 | + | 6.79043i | 0.650326 | + | 0.236699i | 0.646054 | − | 0.763292i | \(-0.276418\pi\) |
0.00427191 | + | 0.999991i | \(0.498640\pi\) | |||||||
\(824\) | 1.39219 | + | 4.90169i | 0.0484992 | + | 0.170758i | ||||
\(825\) | 60.8718 | − | 105.433i | 2.11928 | − | 3.67071i | ||||
\(826\) | −12.5289 | + | 15.0832i | −0.435935 | + | 0.524810i | ||||
\(827\) | −0.706611 | + | 8.07660i | −0.0245713 | + | 0.280851i | 0.973962 | + | 0.226711i | \(0.0727973\pi\) |
−0.998533 | + | 0.0541400i | \(0.982758\pi\) | |||||||
\(828\) | 2.86906 | − | 17.2753i | 0.0997068 | − | 0.600360i | ||||
\(829\) | −32.3983 | − | 8.68110i | −1.12524 | − | 0.301507i | −0.352238 | − | 0.935911i | \(-0.614579\pi\) |
−0.773002 | + | 0.634404i | \(0.781246\pi\) | |||||||
\(830\) | −53.4116 | + | 37.7968i | −1.85394 | + | 1.31195i | ||||
\(831\) | 10.7769 | − | 61.1186i | 0.373845 | − | 2.12018i | ||||
\(832\) | 10.8381 | + | 21.5385i | 0.375744 | + | 0.746713i | ||||
\(833\) | −14.4238 | + | 5.24983i | −0.499755 | + | 0.181896i | ||||
\(834\) | −9.40365 | + | 2.56994i | −0.325622 | + | 0.0889899i | ||||
\(835\) | 32.6182 | + | 32.6182i | 1.12880 | + | 1.12880i | ||||
\(836\) | 27.1846 | − | 24.7511i | 0.940199 | − | 0.856035i | ||||
\(837\) | 3.86812 | − | 3.86812i | 0.133702 | − | 0.133702i | ||||
\(838\) | −22.0589 | − | 12.5897i | −0.762011 | − | 0.434903i | ||||
\(839\) | −12.4298 | − | 34.1506i | −0.429124 | − | 1.17901i | −0.946345 | − | 0.323157i | \(-0.895256\pi\) |
0.517221 | − | 0.855852i | \(-0.326966\pi\) | |||||||
\(840\) | 96.6276 | + | 7.00142i | 3.33397 | + | 0.241572i | ||||
\(841\) | 13.8713 | + | 2.44589i | 0.478322 | + | 0.0843410i | ||||
\(842\) | −4.37049 | + | 25.5288i | −0.150617 | + | 0.879781i | ||||
\(843\) | 1.56528 | − | 5.84170i | 0.0539111 | − | 0.201199i | ||||
\(844\) | −1.50852 | − | 2.10937i | −0.0519254 | − | 0.0726077i | ||||
\(845\) | −15.8755 | − | 1.38893i | −0.546134 | − | 0.0477805i | ||||
\(846\) | −9.46818 | + | 0.875877i | −0.325523 | + | 0.0301133i | ||||
\(847\) | −19.8037 | − | 11.4337i | −0.680464 | − | 0.392866i | ||||
\(848\) | −8.57904 | − | 17.4804i | −0.294606 | − | 0.600278i | ||||
\(849\) | 6.53594 | − | 17.9574i | 0.224313 | − | 0.616295i | ||||
\(850\) | 40.8948 | + | 40.4896i | 1.40268 | + | 1.38878i | ||||
\(851\) | 13.1621 | − | 18.7974i | 0.451190 | − | 0.644366i | ||||
\(852\) | 9.48614 | + | 0.734836i | 0.324990 | + | 0.0251751i | ||||
\(853\) | −40.3535 | + | 3.53047i | −1.38168 | + | 0.120881i | −0.753632 | − | 0.657297i | \(-0.771700\pi\) |
−0.628044 | + | 0.778178i | \(0.716144\pi\) | |||||||
\(854\) | 4.89750 | + | 26.9887i | 0.167589 | + | 0.923535i | ||||
\(855\) | −17.9801 | + | 54.5162i | −0.614905 | + | 1.86441i | ||||
\(856\) | 17.1589 | + | 28.7209i | 0.586481 | + | 0.981659i | ||||
\(857\) | 31.3819 | + | 26.3326i | 1.07199 | + | 0.899504i | 0.995231 | − | 0.0975463i | \(-0.0310994\pi\) |
0.0767557 | + | 0.997050i | \(0.475544\pi\) | |||||||
\(858\) | 22.6374 | + | 38.7622i | 0.772828 | + | 1.32332i | ||||
\(859\) | −7.32681 | + | 10.4638i | −0.249987 | + | 0.357019i | −0.924459 | − | 0.381282i | \(-0.875483\pi\) |
0.674471 | + | 0.738301i | \(0.264372\pi\) | |||||||
\(860\) | 24.6410 | − | 4.59831i | 0.840253 | − | 0.156801i | ||||
\(861\) | 10.1686 | + | 21.8067i | 0.346546 | + | 0.743171i | ||||
\(862\) | 2.59937 | − | 31.5173i | 0.0885350 | − | 1.07349i | ||||
\(863\) | 3.71291 | − | 6.43095i | 0.126389 | − | 0.218912i | −0.795886 | − | 0.605446i | \(-0.792995\pi\) |
0.922275 | + | 0.386534i | \(0.126328\pi\) | |||||||
\(864\) | −0.0830543 | − | 3.33593i | −0.00282556 | − | 0.113491i | ||||
\(865\) | 51.1105 | + | 60.9111i | 1.73781 | + | 2.07104i | ||||
\(866\) | −16.1297 | − | 34.1455i | −0.548110 | − | 1.16031i | ||||
\(867\) | 2.97901 | − | 11.1178i | 0.101172 | − | 0.377581i | ||||
\(868\) | −0.622410 | − | 62.5096i | −0.0211260 | − | 2.12171i | ||||
\(869\) | −15.2712 | + | 10.6930i | −0.518040 | + | 0.362735i | ||||
\(870\) | −19.2425 | − | 52.0605i | −0.652382 | − | 1.76502i | ||||
\(871\) | −12.5417 | + | 4.56481i | −0.424960 | + | 0.154673i | ||||
\(872\) | −1.76956 | + | 10.9933i | −0.0599248 | + | 0.372280i | ||||
\(873\) | −6.01608 | −0.203614 | ||||||||
\(874\) | 15.4606 | − | 6.25656i | 0.522963 | − | 0.211631i | ||||
\(875\) | 63.6258 | + | 63.6258i | 2.15095 | + | 2.15095i | ||||
\(876\) | −9.87104 | − | 20.6297i | −0.333511 | − | 0.697013i | ||||
\(877\) | 6.97455 | − | 14.9570i | 0.235514 | − | 0.505061i | −0.752658 | − | 0.658412i | \(-0.771229\pi\) |
0.988172 | + | 0.153351i | \(0.0490065\pi\) | |||||||
\(878\) | −39.8112 | − | 18.3236i | −1.34356 | − | 0.618390i | ||||
\(879\) | 41.6143 | + | 7.33773i | 1.40362 | + | 0.247495i | ||||
\(880\) | −64.0255 | + | 24.7580i | −2.15830 | + | 0.834592i | ||||
\(881\) | −19.3491 | − | 33.5136i | −0.651887 | − | 1.12910i | −0.982664 | − | 0.185393i | \(-0.940644\pi\) |
0.330777 | − | 0.943709i | \(-0.392689\pi\) | |||||||
\(882\) | 8.52413 | + | 18.0450i | 0.287022 | + | 0.607605i | ||||
\(883\) | −0.297471 | + | 3.40011i | −0.0100107 | + | 0.114423i | −0.999556 | − | 0.0298006i | \(-0.990513\pi\) |
0.989545 | + | 0.144223i | \(0.0460683\pi\) | |||||||
\(884\) | −20.4400 | + | 5.69559i | −0.687471 | + | 0.191564i | ||||
\(885\) | 10.8195 | + | 40.3790i | 0.363694 | + | 1.35733i | ||||
\(886\) | −20.9956 | + | 17.7963i | −0.705362 | + | 0.597878i | ||||
\(887\) | 2.23103 | − | 6.12971i | 0.0749107 | − | 0.205815i | −0.896585 | − | 0.442871i | \(-0.853960\pi\) |
0.971496 | + | 0.237055i | \(0.0761823\pi\) | |||||||
\(888\) | 24.5038 | − | 54.6655i | 0.822293 | − | 1.83445i | ||||
\(889\) | 5.89163 | + | 33.4131i | 0.197599 | + | 1.12064i | ||||
\(890\) | −15.8048 | + | 9.23012i | −0.529778 | + | 0.309394i | ||||
\(891\) | 3.02697 | + | 34.5985i | 0.101407 | + | 1.15909i | ||||
\(892\) | −19.3345 | − | 51.5191i | −0.647366 | − | 1.72499i | ||||
\(893\) | −5.41809 | − | 7.25653i | −0.181309 | − | 0.242830i | ||||
\(894\) | 15.9398 | + | 11.0433i | 0.533106 | + | 0.369343i | ||||
\(895\) | 8.84292 | + | 7.42009i | 0.295586 | + | 0.248026i | ||||
\(896\) | −27.8874 | − | 26.0085i | −0.931654 | − | 0.868883i | ||||
\(897\) | 3.53618 | + | 20.0547i | 0.118070 | + | 0.669607i | ||||
\(898\) | 29.5267 | + | 29.2341i | 0.985318 | + | 0.975556i | ||||
\(899\) | −32.4580 | + | 15.1354i | −1.08253 | + | 0.504794i | ||||
\(900\) | 47.5220 | − | 57.7935i | 1.58407 | − | 1.92645i | ||||
\(901\) | 16.5519 | − | 4.43508i | 0.551425 | − | 0.147754i | ||||
\(902\) | −13.1144 | − | 10.8935i | −0.436662 | − | 0.362714i | ||||
\(903\) | 16.6632 | + | 19.8584i | 0.554516 | + | 0.660846i | ||||
\(904\) | −34.8283 | + | 35.8844i | −1.15837 | + | 1.19350i | ||||
\(905\) | 22.9075 | + | 39.6770i | 0.761471 | + | 1.31891i | ||||
\(906\) | 36.2297 | + | 6.20246i | 1.20365 | + | 0.206063i | ||||
\(907\) | −28.1580 | − | 40.2138i | −0.934972 | − | 1.33528i | −0.942110 | − | 0.335304i | \(-0.891161\pi\) |
0.00713811 | − | 0.999975i | \(-0.497728\pi\) | |||||||
\(908\) | 18.4268 | + | 4.74131i | 0.611513 | + | 0.157346i | ||||
\(909\) | −30.1217 | − | 14.0460i | −0.999072 | − | 0.465875i | ||||
\(910\) | −56.3953 | + | 15.4124i | −1.86949 | + | 0.510916i | ||||
\(911\) | 40.8959 | 1.35494 | 0.677471 | − | 0.735549i | \(-0.263076\pi\) | ||||
0.677471 | + | 0.735549i | \(0.263076\pi\) | |||||||
\(912\) | 36.5628 | − | 23.6425i | 1.21072 | − | 0.782883i | ||||
\(913\) | 47.9475 | 1.58683 | ||||||||
\(914\) | −50.7985 | + | 13.8828i | −1.68026 | + | 0.459203i | ||||
\(915\) | 52.9995 | + | 24.7141i | 1.75211 | + | 0.817022i | ||||
\(916\) | 0.0329679 | − | 0.128127i | 0.00108929 | − | 0.00423344i | ||||
\(917\) | −28.2993 | − | 40.4156i | −0.934525 | − | 1.33464i | ||||
\(918\) | 2.89448 | + | 0.495530i | 0.0955321 | + | 0.0163549i | ||||
\(919\) | 10.8005 | + | 18.7071i | 0.356277 | + | 0.617090i | 0.987336 | − | 0.158645i | \(-0.0507127\pi\) |
−0.631059 | + | 0.775735i | \(0.717379\pi\) | |||||||
\(920\) | −31.1384 | + | 0.465088i | −1.02660 | + | 0.0153335i | ||||
\(921\) | −30.2407 | − | 36.0394i | −0.996464 | − | 1.18754i | ||||
\(922\) | −0.0819623 | − | 0.0680821i | −0.00269929 | − | 0.00224217i | ||||
\(923\) | −5.54599 | + | 1.48604i | −0.182548 | + | 0.0489137i | ||||
\(924\) | −54.8349 | − | 45.0892i | −1.80394 | − | 1.48333i | ||||
\(925\) | 88.8600 | − | 41.4361i | 2.92170 | − | 1.36241i | ||||
\(926\) | 5.23530 | + | 5.18343i | 0.172043 | + | 0.170338i | ||||
\(927\) | 1.01241 | + | 5.74165i | 0.0332518 | + | 0.188580i | ||||
\(928\) | −6.95868 | + | 20.7086i | −0.228430 | + | 0.679794i | ||||
\(929\) | 15.7774 | + | 13.2388i | 0.517638 | + | 0.434350i | 0.863807 | − | 0.503822i | \(-0.168073\pi\) |
−0.346169 | + | 0.938172i | \(0.612518\pi\) | |||||||
\(930\) | −109.551 | − | 75.8986i | −3.59233 | − | 2.48881i | ||||
\(931\) | −10.4224 | + | 15.8949i | −0.341580 | + | 0.520935i | ||||
\(932\) | 29.1344 | − | 10.9338i | 0.954329 | − | 0.358148i | ||||
\(933\) | 0.0268407 | + | 0.306791i | 0.000878725 | + | 0.0100439i | ||||
\(934\) | 47.9133 | − | 27.9817i | 1.56777 | − | 0.915590i | ||||
\(935\) | −10.4900 | − | 59.4917i | −0.343059 | − | 1.94559i | ||||
\(936\) | 9.82176 | + | 25.7804i | 0.321034 | + | 0.842659i | ||||
\(937\) | 15.2730 | − | 41.9621i | 0.498946 | − | 1.37084i | −0.393349 | − | 0.919389i | \(-0.628683\pi\) |
0.892295 | − | 0.451454i | \(-0.149094\pi\) | |||||||
\(938\) | 16.1020 | − | 13.6484i | 0.525749 | − | 0.445635i | ||||
\(939\) | 4.66792 | + | 17.4209i | 0.152332 | + | 0.568510i | ||||
\(940\) | 4.53886 | + | 16.2888i | 0.148041 | + | 0.531282i | ||||
\(941\) | 0.870392 | − | 9.94862i | 0.0283740 | − | 0.324316i | −0.968721 | − | 0.248151i | \(-0.920177\pi\) |
0.997095 | − | 0.0761646i | \(-0.0242674\pi\) | |||||||
\(942\) | 25.2259 | + | 53.4014i | 0.821904 | + | 1.73991i | ||||
\(943\) | −3.86715 | − | 6.69810i | −0.125932 | − | 0.218120i | ||||
\(944\) | 6.65556 | − | 15.0481i | 0.216620 | − | 0.489775i | ||||
\(945\) | 7.96821 | + | 1.40501i | 0.259206 | + | 0.0457050i | ||||
\(946\) | −16.6856 | − | 7.67974i | −0.542497 | − | 0.249690i | ||||
\(947\) | −10.1637 | + | 21.7962i | −0.330277 | + | 0.708281i | −0.999392 | − | 0.0348782i | \(-0.988896\pi\) |
0.669115 | + | 0.743159i | \(0.266673\pi\) | |||||||
\(948\) | −19.9164 | + | 9.52974i | −0.646856 | + | 0.309512i | ||||
\(949\) | 9.75869 | + | 9.75869i | 0.316780 | + | 0.316780i | ||||
\(950\) | 70.5738 | + | 9.87819i | 2.28972 | + | 0.320491i | ||||
\(951\) | 13.8550 | 0.449279 | ||||||||
\(952\) | 27.1986 | − | 19.6565i | 0.881512 | − | 0.637070i | ||||
\(953\) | −41.8519 | + | 15.2329i | −1.35572 | + | 0.493441i | −0.914727 | − | 0.404071i | \(-0.867595\pi\) |
−0.440990 | + | 0.897512i | \(0.645373\pi\) | |||||||
\(954\) | −7.72418 | − | 20.8977i | −0.250080 | − | 0.676589i | ||||
\(955\) | 27.7875 | − | 19.4570i | 0.899181 | − | 0.629613i | ||||
\(956\) | −25.1246 | + | 0.250166i | −0.812587 | + | 0.00809094i | ||||
\(957\) | −10.5265 | + | 39.2855i | −0.340274 | + | 1.26992i | ||||
\(958\) | 20.7009 | + | 43.8223i | 0.668816 | + | 1.41583i | ||||
\(959\) | −21.3502 | − | 25.4442i | −0.689435 | − | 0.821636i | ||||
\(960\) | −79.6062 | + | 16.5022i | −2.56928 | + | 0.532607i | ||||
\(961\) | −27.4979 | + | 47.6278i | −0.887029 | + | 1.53638i | ||||
\(962\) | −2.97142 | + | 36.0285i | −0.0958026 | + | 1.16160i | ||||
\(963\) | 16.1777 | + | 34.6933i | 0.521320 | + | 1.11798i | ||||
\(964\) | −2.63432 | − | 14.1166i | −0.0848457 | − | 0.454664i | ||||
\(965\) | 8.73654 | − | 12.4771i | 0.281239 | − | 0.401651i | ||||
\(966\) | −16.2419 | − | 27.8111i | −0.522573 | − | 0.894806i | ||||
\(967\) | −41.2084 | − | 34.5780i | −1.32517 | − | 1.11195i | −0.985180 | − | 0.171525i | \(-0.945131\pi\) |
−0.339994 | − | 0.940428i | \(-0.610425\pi\) | |||||||
\(968\) | 18.6077 | + | 4.68921i | 0.598073 | + | 0.150717i | ||||
\(969\) | 14.1966 | + | 35.5898i | 0.456061 | + | 1.14331i | ||||
\(970\) | 1.91021 | + | 10.5266i | 0.0613330 | + | 0.337989i | ||||
\(971\) | 39.7728 | − | 3.47967i | 1.27637 | − | 0.111668i | 0.571261 | − | 0.820768i | \(-0.306454\pi\) |
0.705107 | + | 0.709101i | \(0.250899\pi\) | |||||||
\(972\) | −3.45012 | + | 44.5382i | −0.110663 | + | 1.42856i | ||||
\(973\) | −5.33646 | + | 7.62125i | −0.171079 | + | 0.244326i | ||||
\(974\) | 33.9012 | + | 33.5654i | 1.08627 | + | 1.07550i | ||||
\(975\) | −29.7587 | + | 81.7614i | −0.953041 | + | 2.61846i | ||||
\(976\) | −10.1412 | − | 20.6633i | −0.324611 | − | 0.661417i | ||||
\(977\) | 2.44183 | + | 1.40979i | 0.0781210 | + | 0.0451032i | 0.538552 | − | 0.842592i | \(-0.318972\pi\) |
−0.460431 | + | 0.887696i | \(0.652305\pi\) | |||||||
\(978\) | 42.4307 | − | 3.92515i | 1.35678 | − | 0.125513i | ||||
\(979\) | 13.3608 | + | 1.16892i | 0.427012 | + | 0.0373587i | ||||
\(980\) | 28.8675 | − | 20.6446i | 0.922138 | − | 0.659468i | ||||
\(981\) | −3.29740 | + | 12.3061i | −0.105278 | + | 0.392903i | ||||
\(982\) | −0.865540 | + | 5.05577i | −0.0276205 | + | 0.161336i | ||||
\(983\) | 13.8547 | + | 2.44296i | 0.441898 | + | 0.0779185i | 0.390170 | − | 0.920743i | \(-0.372416\pi\) |
0.0517275 | + | 0.998661i | \(0.483527\pi\) | |||||||
\(984\) | −13.2081 | − | 15.2717i | −0.421060 | − | 0.486845i | ||||
\(985\) | −2.76549 | − | 7.59813i | −0.0881159 | − | 0.242097i | ||||
\(986\) | −16.6973 | − | 9.52966i | −0.531749 | − | 0.303486i | ||||
\(987\) | −12.3654 | + | 12.3654i | −0.393596 | + | 0.393596i | ||||
\(988\) | −16.0616 | + | 20.7943i | −0.510988 | + | 0.661555i | ||||
\(989\) | −5.89226 | − | 5.89226i | −0.187363 | − | 0.187363i | ||||
\(990\) | −75.7643 | + | 20.7058i | −2.40795 | + | 0.658074i | ||||
\(991\) | 4.12915 | − | 1.50289i | 0.131167 | − | 0.0477408i | −0.275603 | − | 0.961272i | \(-0.588877\pi\) |
0.406769 | + | 0.913531i | \(0.366655\pi\) | |||||||
\(992\) | 14.8341 | + | 50.3171i | 0.470984 | + | 1.59757i | ||||
\(993\) | −8.87193 | + | 50.3152i | −0.281542 | + | 1.59670i | ||||
\(994\) | 7.41234 | − | 5.24537i | 0.235105 | − | 0.166373i | ||||
\(995\) | −43.2681 | − | 11.5937i | −1.37169 | − | 0.367544i | ||||
\(996\) | 56.0180 | + | 9.30338i | 1.77500 | + | 0.294789i | ||||
\(997\) | 1.69071 | − | 19.3249i | 0.0535453 | − | 0.612026i | −0.921257 | − | 0.388955i | \(-0.872836\pi\) |
0.974802 | − | 0.223071i | \(-0.0716082\pi\) | |||||||
\(998\) | −6.85959 | + | 8.25809i | −0.217137 | + | 0.261405i | ||||
\(999\) | 2.50157 | − | 4.33285i | 0.0791462 | − | 0.137085i |
(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 | 304.2.bg.a.3.17 | ✓ | 456 | |
16.11 | odd | 4 | inner | 304.2.bg.a.155.37 | yes | 456 | |
19.13 | odd | 18 | inner | 304.2.bg.a.51.37 | yes | 456 | |
304.203 | even | 36 | inner | 304.2.bg.a.203.17 | yes | 456 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
304.2.bg.a.3.17 | ✓ | 456 | 1.1 | even | 1 | trivial | |
304.2.bg.a.51.37 | yes | 456 | 19.13 | odd | 18 | inner | |
304.2.bg.a.155.37 | yes | 456 | 16.11 | odd | 4 | inner | |
304.2.bg.a.203.17 | yes | 456 | 304.203 | even | 36 | inner |