Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), 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: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 242.15 |
Dual form | 242.2.g.b.113.1 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{26}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0855750 | + | 0.996332i | 0.0605107 | + | 0.704513i | ||||
\(3\) | −1.04353 | + | 3.21167i | −0.602485 | + | 1.85426i | −0.0892528 | + | 0.996009i | \(0.528448\pi\) |
−0.513232 | + | 0.858250i | \(0.671552\pi\) | |||||||
\(4\) | −0.985354 | + | 0.170522i | −0.492677 | + | 0.0852611i | ||||
\(5\) | −1.10788 | + | 0.0633506i | −0.495457 | + | 0.0283313i | −0.303032 | − | 0.952980i | \(-0.597999\pi\) |
−0.192425 | + | 0.981312i | \(0.561635\pi\) | |||||||
\(6\) | −3.28919 | − | 0.764868i | −1.34281 | − | 0.312256i | ||||
\(7\) | 2.72097 | + | 3.97928i | 1.02843 | + | 1.50403i | 0.854623 | + | 0.519248i | \(0.173788\pi\) |
0.173805 | + | 0.984780i | \(0.444394\pi\) | |||||||
\(8\) | −0.254218 | − | 0.967147i | −0.0898798 | − | 0.341938i | ||||
\(9\) | −6.79881 | − | 4.93962i | −2.26627 | − | 1.64654i | ||||
\(10\) | −0.157925 | − | 1.09839i | −0.0499402 | − | 0.347342i | ||||
\(11\) | 1.97100 | − | 2.66743i | 0.594278 | − | 0.804260i | ||||
\(12\) | 0.480590 | − | 3.34258i | 0.138734 | − | 0.964919i | ||||
\(13\) | 0.408825 | − | 0.420671i | 0.113388 | − | 0.116673i | −0.658061 | − | 0.752964i | \(-0.728623\pi\) |
0.771449 | + | 0.636291i | \(0.219532\pi\) | |||||||
\(14\) | −3.73184 | + | 3.05151i | −0.997377 | + | 0.815551i | ||||
\(15\) | 0.952646 | − | 3.62424i | 0.245972 | − | 0.935775i | ||||
\(16\) | 0.941844 | − | 0.336049i | 0.235461 | − | 0.0840123i | ||||
\(17\) | 2.76027 | + | 1.55879i | 0.669463 | + | 0.378063i | 0.788679 | − | 0.614805i | \(-0.210765\pi\) |
−0.119216 | + | 0.992868i | \(0.538038\pi\) | |||||||
\(18\) | 4.33970 | − | 7.19658i | 1.02288 | − | 1.69625i | ||||
\(19\) | 2.12593 | + | 1.95116i | 0.487722 | + | 0.447627i | 0.881920 | − | 0.471398i | \(-0.156251\pi\) |
−0.394199 | + | 0.919025i | \(0.628978\pi\) | |||||||
\(20\) | 1.08085 | − | 0.251340i | 0.241685 | − | 0.0562014i | ||||
\(21\) | −15.6196 | + | 4.58632i | −3.40847 | + | 1.00082i | ||||
\(22\) | 2.82631 | + | 1.73550i | 0.602572 | + | 0.370010i | ||||
\(23\) | −5.03440 | − | 1.47823i | −1.04974 | − | 0.308233i | −0.289031 | − | 0.957320i | \(-0.593333\pi\) |
−0.760714 | + | 0.649087i | \(0.775151\pi\) | |||||||
\(24\) | 3.37144 | + | 0.192786i | 0.688193 | + | 0.0393523i | ||||
\(25\) | −3.74403 | + | 0.429588i | −0.748807 | + | 0.0859176i | ||||
\(26\) | 0.454113 | + | 0.371326i | 0.0890589 | + | 0.0728231i | ||||
\(27\) | 14.7632 | − | 10.7261i | 2.84118 | − | 2.06424i | ||||
\(28\) | −3.35967 | − | 3.45702i | −0.634918 | − | 0.653315i | ||||
\(29\) | 1.59521 | + | 0.183033i | 0.296222 | + | 0.0339883i | 0.260829 | − | 0.965385i | \(-0.416004\pi\) |
0.0353936 | + | 0.999373i | \(0.488732\pi\) | |||||||
\(30\) | 3.69247 | + | 0.639007i | 0.674149 | + | 0.116666i | ||||
\(31\) | −2.68062 | + | 5.08035i | −0.481454 | + | 0.912457i | 0.516952 | + | 0.856015i | \(0.327067\pi\) |
−0.998406 | + | 0.0564426i | \(0.982024\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | 6.51009 | + | 9.11375i | 1.13326 | + | 1.58650i | ||||
\(34\) | −1.31687 | + | 2.88353i | −0.225841 | + | 0.494522i | ||||
\(35\) | −3.26658 | − | 4.23618i | −0.552153 | − | 0.716045i | ||||
\(36\) | 7.54155 | + | 3.70793i | 1.25692 | + | 0.617988i | ||||
\(37\) | 3.95970 | − | 1.94685i | 0.650970 | − | 0.320061i | −0.0856916 | − | 0.996322i | \(-0.527310\pi\) |
0.736662 | + | 0.676261i | \(0.236401\pi\) | |||||||
\(38\) | −1.76208 | + | 2.28510i | −0.285847 | + | 0.370692i | ||||
\(39\) | 0.924433 | + | 1.75200i | 0.148028 | + | 0.280544i | ||||
\(40\) | 0.342912 | + | 1.05537i | 0.0542191 | + | 0.166869i | ||||
\(41\) | −0.834446 | + | 0.352640i | −0.130319 | + | 0.0550731i | −0.453454 | − | 0.891280i | \(-0.649808\pi\) |
0.323136 | + | 0.946353i | \(0.395263\pi\) | |||||||
\(42\) | −5.90614 | − | 15.1698i | −0.911337 | − | 2.34075i | ||||
\(43\) | −3.64599 | + | 2.34313i | −0.556008 | + | 0.357325i | −0.788271 | − | 0.615328i | \(-0.789023\pi\) |
0.232263 | + | 0.972653i | \(0.425387\pi\) | |||||||
\(44\) | −1.48727 | + | 2.96446i | −0.224215 | + | 0.446909i | ||||
\(45\) | 7.84517 | + | 5.04178i | 1.16949 | + | 0.751584i | ||||
\(46\) | 1.04199 | − | 5.14243i | 0.153633 | − | 0.758210i | ||||
\(47\) | 1.93111 | + | 3.20239i | 0.281681 | + | 0.467116i | 0.964724 | − | 0.263262i | \(-0.0847984\pi\) |
−0.683043 | + | 0.730378i | \(0.739344\pi\) | |||||||
\(48\) | 0.0964324 | + | 3.37557i | 0.0139188 | + | 0.487222i | ||||
\(49\) | −5.89140 | + | 15.1319i | −0.841629 | + | 2.16171i | ||||
\(50\) | −0.748408 | − | 3.69354i | −0.105841 | − | 0.522345i | ||||
\(51\) | −7.88676 | + | 7.23841i | −1.10437 | + | 1.01358i | ||||
\(52\) | −0.331104 | + | 0.484224i | −0.0459158 | + | 0.0671497i | ||||
\(53\) | 6.18455 | + | 2.20664i | 0.849514 | + | 0.303106i | 0.724692 | − | 0.689073i | \(-0.241982\pi\) |
0.124822 | + | 0.992179i | \(0.460164\pi\) | |||||||
\(54\) | 11.9501 | + | 13.7912i | 1.62620 | + | 1.87674i | ||||
\(55\) | −2.01464 | + | 3.08004i | −0.271654 | + | 0.415313i | ||||
\(56\) | 3.15683 | − | 3.64318i | 0.421850 | − | 0.486840i | ||||
\(57\) | −8.48496 | + | 4.79168i | −1.12386 | + | 0.634674i | ||||
\(58\) | −0.0458516 | + | 1.60502i | −0.00602061 | + | 0.210749i | ||||
\(59\) | 6.30429 | + | 2.66421i | 0.820748 | + | 0.346851i | 0.758878 | − | 0.651233i | \(-0.225748\pi\) |
0.0618705 | + | 0.998084i | \(0.480293\pi\) | |||||||
\(60\) | −0.320680 | + | 3.73361i | −0.0413996 | + | 0.482007i | ||||
\(61\) | −0.181606 | + | 2.11440i | −0.0232523 | + | 0.270721i | 0.975468 | + | 0.220142i | \(0.0706522\pi\) |
−0.998720 | + | 0.0505791i | \(0.983893\pi\) | |||||||
\(62\) | −5.29110 | − | 2.23604i | −0.671971 | − | 0.283977i | ||||
\(63\) | 1.15685 | − | 40.4949i | 0.145749 | − | 5.10188i | ||||
\(64\) | −0.870746 | + | 0.491733i | −0.108843 | + | 0.0614666i | ||||
\(65\) | −0.426278 | + | 0.491951i | −0.0528732 | + | 0.0610190i | ||||
\(66\) | −8.52321 | + | 7.26612i | −1.04914 | + | 0.894398i | ||||
\(67\) | 3.73229 | + | 4.30729i | 0.455972 | + | 0.526220i | 0.936457 | − | 0.350784i | \(-0.114085\pi\) |
−0.480485 | + | 0.877003i | \(0.659539\pi\) | |||||||
\(68\) | −2.98565 | − | 1.06528i | −0.362063 | − | 0.129184i | ||||
\(69\) | 10.0012 | − | 14.6262i | 1.20400 | − | 1.76079i | ||||
\(70\) | 3.94110 | − | 3.61711i | 0.471052 | − | 0.432327i | ||||
\(71\) | −2.27525 | − | 11.2288i | −0.270022 | − | 1.33261i | −0.853759 | − | 0.520669i | \(-0.825683\pi\) |
0.583736 | − | 0.811943i | \(-0.301590\pi\) | |||||||
\(72\) | −3.04896 | + | 7.83119i | −0.359323 | + | 0.922915i | ||||
\(73\) | −0.137753 | − | 4.82198i | −0.0161227 | − | 0.564370i | −0.966996 | − | 0.254790i | \(-0.917994\pi\) |
0.950874 | − | 0.309579i | \(-0.100188\pi\) | |||||||
\(74\) | 2.27856 | + | 3.77857i | 0.264878 | + | 0.439250i | ||||
\(75\) | 2.52733 | − | 12.4729i | 0.291832 | − | 1.44025i | ||||
\(76\) | −2.42751 | − | 1.56007i | −0.278454 | − | 0.178952i | ||||
\(77\) | 15.9775 | + | 0.585180i | 1.82080 | + | 0.0666874i | ||||
\(78\) | −1.66646 | + | 1.07097i | −0.188690 | + | 0.121263i | ||||
\(79\) | 2.23946 | + | 5.75200i | 0.251959 | + | 0.647151i | 0.999861 | − | 0.0166579i | \(-0.00530261\pi\) |
−0.747903 | + | 0.663809i | \(0.768939\pi\) | |||||||
\(80\) | −1.02216 | + | 0.431967i | −0.114281 | + | 0.0482954i | ||||
\(81\) | 11.2520 | + | 34.6302i | 1.25023 | + | 3.84780i | ||||
\(82\) | −0.422754 | − | 0.801208i | −0.0466853 | − | 0.0884786i | ||||
\(83\) | 9.09518 | − | 11.7948i | 0.998326 | − | 1.29465i | 0.0430071 | − | 0.999075i | \(-0.486306\pi\) |
0.955319 | − | 0.295577i | \(-0.0955120\pi\) | |||||||
\(84\) | 14.6087 | − | 7.18263i | 1.59394 | − | 0.783689i | ||||
\(85\) | −3.15678 | − | 1.55209i | −0.342401 | − | 0.168347i | ||||
\(86\) | −2.64654 | − | 3.43210i | −0.285384 | − | 0.370093i | ||||
\(87\) | −2.25249 | + | 4.93227i | −0.241493 | + | 0.528795i | ||||
\(88\) | −3.08086 | − | 1.22813i | −0.328421 | − | 0.130920i | ||||
\(89\) | −4.99877 | − | 10.9458i | −0.529869 | − | 1.16025i | −0.965566 | − | 0.260157i | \(-0.916226\pi\) |
0.435698 | − | 0.900093i | \(-0.356502\pi\) | |||||||
\(90\) | −4.35194 | + | 8.24784i | −0.458734 | + | 0.869398i | ||||
\(91\) | 2.78637 | + | 0.482200i | 0.292091 | + | 0.0505483i | ||||
\(92\) | 5.21274 | + | 0.598106i | 0.543465 | + | 0.0623568i | ||||
\(93\) | −13.5191 | − | 13.9108i | −1.40186 | − | 1.44248i | ||||
\(94\) | −3.02538 | + | 2.19807i | −0.312044 | + | 0.226714i | ||||
\(95\) | −2.47887 | − | 2.02696i | −0.254327 | − | 0.207962i | ||||
\(96\) | −3.35494 | + | 0.384943i | −0.342412 | + | 0.0392881i | ||||
\(97\) | −6.97536 | − | 0.398865i | −0.708240 | − | 0.0404987i | −0.300743 | − | 0.953705i | \(-0.597235\pi\) |
−0.407497 | + | 0.913206i | \(0.633598\pi\) | |||||||
\(98\) | −15.5806 | − | 4.57488i | −1.57388 | − | 0.462132i | ||||
\(99\) | −26.5765 | + | 8.39935i | −2.67104 | + | 0.844166i | ||||
\(100\) | 3.61594 | − | 1.06174i | 0.361594 | − | 0.106174i | ||||
\(101\) | −2.66046 | + | 0.618664i | −0.264726 | + | 0.0615593i | −0.356758 | − | 0.934197i | \(-0.616118\pi\) |
0.0920328 | + | 0.995756i | \(0.470664\pi\) | |||||||
\(102\) | −7.88676 | − | 7.23841i | −0.780906 | − | 0.716709i | ||||
\(103\) | 0.658574 | − | 1.09212i | 0.0648912 | − | 0.107610i | −0.822211 | − | 0.569182i | \(-0.807260\pi\) |
0.887103 | + | 0.461572i | \(0.152714\pi\) | |||||||
\(104\) | −0.510782 | − | 0.288452i | −0.0500862 | − | 0.0282850i | ||||
\(105\) | 17.0140 | − | 6.07058i | 1.66040 | − | 0.592428i | ||||
\(106\) | −1.66931 | + | 6.35070i | −0.162137 | + | 0.616835i | ||||
\(107\) | −2.68470 | + | 2.19527i | −0.259539 | + | 0.212224i | −0.753825 | − | 0.657075i | \(-0.771793\pi\) |
0.494286 | + | 0.869300i | \(0.335430\pi\) | |||||||
\(108\) | −12.7179 | + | 13.0865i | −1.22379 | + | 1.25925i | ||||
\(109\) | 1.57347 | − | 10.9437i | 0.150711 | − | 1.04822i | −0.764321 | − | 0.644836i | \(-0.776926\pi\) |
0.915032 | − | 0.403381i | \(-0.132165\pi\) | |||||||
\(110\) | −3.24115 | − | 1.74367i | −0.309031 | − | 0.166253i | ||||
\(111\) | 2.12057 | + | 14.7489i | 0.201275 | + | 1.39990i | ||||
\(112\) | 3.89996 | + | 2.83349i | 0.368512 | + | 0.267739i | ||||
\(113\) | 1.82364 | + | 6.93786i | 0.171554 | + | 0.652659i | 0.996207 | + | 0.0870197i | \(0.0277343\pi\) |
−0.824653 | + | 0.565640i | \(0.808629\pi\) | |||||||
\(114\) | −5.50020 | − | 8.04379i | −0.515141 | − | 0.753370i | ||||
\(115\) | 5.67114 | + | 1.31877i | 0.528836 | + | 0.122976i | ||||
\(116\) | −1.60305 | + | 0.0916659i | −0.148840 | + | 0.00851096i | ||||
\(117\) | −4.85748 | + | 0.840620i | −0.449074 | + | 0.0777154i | ||||
\(118\) | −2.11495 | + | 6.50915i | −0.194697 | + | 0.599216i | ||||
\(119\) | 1.30770 | + | 15.2253i | 0.119877 | + | 1.39570i | ||||
\(120\) | −3.74735 | −0.342085 | ||||||||
\(121\) | −3.23034 | − | 10.5150i | −0.293667 | − | 0.955908i | ||||
\(122\) | −2.12219 | −0.192134 | ||||||||
\(123\) | −0.261789 | − | 3.04796i | −0.0236047 | − | 0.274825i | ||||
\(124\) | 1.77505 | − | 5.46304i | 0.159404 | − | 0.490596i | ||||
\(125\) | 9.58787 | − | 1.65925i | 0.857566 | − | 0.148408i | ||||
\(126\) | 40.4454 | − | 2.31275i | 3.60316 | − | 0.206036i | ||||
\(127\) | 16.5105 | + | 3.83934i | 1.46507 | + | 0.340686i | 0.881811 | − | 0.471603i | \(-0.156324\pi\) |
0.583255 | + | 0.812289i | \(0.301779\pi\) | |||||||
\(128\) | −0.564443 | − | 0.825472i | −0.0498902 | − | 0.0729621i | ||||
\(129\) | −3.72066 | − | 14.1549i | −0.327586 | − | 1.24627i | ||||
\(130\) | −0.526625 | − | 0.382615i | −0.0461880 | − | 0.0335576i | ||||
\(131\) | 0.384111 | + | 2.67155i | 0.0335599 | + | 0.233414i | 0.999697 | − | 0.0246149i | \(-0.00783596\pi\) |
−0.966137 | + | 0.258029i | \(0.916927\pi\) | |||||||
\(132\) | −7.96884 | − | 7.87015i | −0.693599 | − | 0.685009i | ||||
\(133\) | −1.97964 | + | 13.7687i | −0.171657 | + | 1.19390i | ||||
\(134\) | −3.97210 | + | 4.08720i | −0.343137 | + | 0.353080i | ||||
\(135\) | −15.6763 | + | 12.8184i | −1.34920 | + | 1.10324i | ||||
\(136\) | 0.805872 | − | 3.06586i | 0.0691030 | − | 0.262895i | ||||
\(137\) | −3.19220 | + | 1.13897i | −0.272728 | + | 0.0973091i | −0.468872 | − | 0.883266i | \(-0.655340\pi\) |
0.196145 | + | 0.980575i | \(0.437158\pi\) | |||||||
\(138\) | 15.4284 | + | 8.71284i | 1.31336 | + | 0.741686i | ||||
\(139\) | 5.93627 | − | 9.84420i | 0.503508 | − | 0.834974i | −0.495934 | − | 0.868360i | \(-0.665174\pi\) |
0.999443 | + | 0.0333855i | \(0.0106289\pi\) | |||||||
\(140\) | 3.94110 | + | 3.61711i | 0.333084 | + | 0.305702i | ||||
\(141\) | −12.3002 | + | 2.86029i | −1.03586 | + | 0.240880i | ||||
\(142\) | 10.9929 | − | 3.22781i | 0.922503 | − | 0.270871i | ||||
\(143\) | −0.316317 | − | 1.91965i | −0.0264517 | − | 0.160529i | ||||
\(144\) | −8.06338 | − | 2.36762i | −0.671948 | − | 0.197302i | ||||
\(145\) | −1.77888 | − | 0.101720i | −0.147728 | − | 0.00844741i | ||||
\(146\) | 4.79250 | − | 0.549888i | 0.396630 | − | 0.0455091i | ||||
\(147\) | −42.4509 | − | 34.7120i | −3.50129 | − | 2.86299i | ||||
\(148\) | −3.56972 | + | 2.59356i | −0.293429 | + | 0.213189i | ||||
\(149\) | −8.70017 | − | 8.95226i | −0.712746 | − | 0.733398i | 0.259914 | − | 0.965632i | \(-0.416306\pi\) |
−0.972660 | + | 0.232234i | \(0.925397\pi\) | |||||||
\(150\) | 12.6434 | + | 1.45070i | 1.03233 | + | 0.118449i | ||||
\(151\) | 18.6669 | + | 3.23043i | 1.51909 | + | 0.262889i | 0.868174 | − | 0.496260i | \(-0.165294\pi\) |
0.650917 | + | 0.759149i | \(0.274385\pi\) | |||||||
\(152\) | 1.34661 | − | 2.55211i | 0.109224 | − | 0.207003i | ||||
\(153\) | −11.0667 | − | 24.2326i | −0.894687 | − | 1.95909i | ||||
\(154\) | 0.784239 | + | 15.9689i | 0.0631958 | + | 1.28681i | ||||
\(155\) | 2.64795 | − | 5.79821i | 0.212689 | − | 0.465724i | ||||
\(156\) | −1.20965 | − | 1.56870i | −0.0968494 | − | 0.125597i | ||||
\(157\) | 18.3654 | + | 9.02964i | 1.46572 | + | 0.720644i | 0.987503 | − | 0.157600i | \(-0.0503757\pi\) |
0.478213 | + | 0.878244i | \(0.341285\pi\) | |||||||
\(158\) | −5.53926 | + | 2.72347i | −0.440680 | + | 0.216668i | ||||
\(159\) | −13.5408 | + | 17.5600i | −1.07386 | + | 1.39260i | ||||
\(160\) | −0.517854 | − | 0.981443i | −0.0409400 | − | 0.0775898i | ||||
\(161\) | −7.81611 | − | 24.0555i | −0.615996 | − | 1.89584i | ||||
\(162\) | −33.5403 | + | 14.1742i | −2.63517 | + | 1.11363i | ||||
\(163\) | 0.500148 | + | 1.28462i | 0.0391746 | + | 0.100619i | 0.950092 | − | 0.311969i | \(-0.100989\pi\) |
−0.910918 | + | 0.412588i | \(0.864625\pi\) | |||||||
\(164\) | 0.762091 | − | 0.489766i | 0.0595093 | − | 0.0382443i | ||||
\(165\) | −7.78974 | − | 9.68448i | −0.606430 | − | 0.753936i | ||||
\(166\) | 12.5299 | + | 8.05247i | 0.972508 | + | 0.624993i | ||||
\(167\) | −2.50660 | + | 12.3706i | −0.193966 | + | 0.957262i | 0.758279 | + | 0.651930i | \(0.226040\pi\) |
−0.952246 | + | 0.305332i | \(0.901232\pi\) | |||||||
\(168\) | 8.40643 | + | 13.9405i | 0.648570 | + | 1.07553i | ||||
\(169\) | 0.361402 | + | 12.6507i | 0.0278002 | + | 0.973134i | ||||
\(170\) | 1.27625 | − | 3.27802i | 0.0978839 | − | 0.251413i | ||||
\(171\) | −4.81579 | − | 23.7669i | −0.368273 | − | 1.81750i | ||||
\(172\) | 3.19303 | − | 2.93054i | 0.243466 | − | 0.223451i | ||||
\(173\) | −7.94583 | + | 11.6204i | −0.604111 | + | 0.883483i | −0.999385 | − | 0.0350798i | \(-0.988831\pi\) |
0.395274 | + | 0.918563i | \(0.370650\pi\) | |||||||
\(174\) | −5.10694 | − | 1.82215i | −0.387156 | − | 0.138137i | ||||
\(175\) | −11.8968 | − | 13.7297i | −0.899316 | − | 1.03787i | ||||
\(176\) | 0.959985 | − | 3.17465i | 0.0723616 | − | 0.239299i | ||||
\(177\) | −15.1353 | + | 17.4671i | −1.13764 | + | 1.31291i | ||||
\(178\) | 10.4779 | − | 5.91712i | 0.785349 | − | 0.443507i | ||||
\(179\) | 0.167020 | − | 5.84645i | 0.0124836 | − | 0.436985i | −0.969179 | − | 0.246358i | \(-0.920766\pi\) |
0.981663 | − | 0.190627i | \(-0.0610520\pi\) | |||||||
\(180\) | −8.59000 | − | 3.63016i | −0.640261 | − | 0.270576i | ||||
\(181\) | −0.639653 | + | 7.44734i | −0.0475450 | + | 0.553557i | 0.933343 | + | 0.358985i | \(0.116877\pi\) |
−0.980888 | + | 0.194572i | \(0.937668\pi\) | |||||||
\(182\) | −0.241988 | + | 2.81741i | −0.0179373 | + | 0.208840i | ||||
\(183\) | −6.60125 | − | 2.78971i | −0.487978 | − | 0.206221i | ||||
\(184\) | −0.149832 | + | 5.24480i | −0.0110457 | + | 0.386652i | ||||
\(185\) | −4.26352 | + | 2.40772i | −0.313460 | + | 0.177019i | ||||
\(186\) | 12.7029 | − | 14.6599i | 0.931420 | − | 1.07492i | ||||
\(187\) | 9.59844 | − | 4.29043i | 0.701908 | − | 0.313747i | ||||
\(188\) | −2.44890 | − | 2.82619i | −0.178605 | − | 0.206121i | ||||
\(189\) | 82.8524 | + | 29.5617i | 6.02663 | + | 2.15030i | ||||
\(190\) | 1.80740 | − | 2.64324i | 0.131123 | − | 0.191761i | ||||
\(191\) | −3.95579 | + | 3.63059i | −0.286231 | + | 0.262701i | −0.806410 | − | 0.591357i | \(-0.798593\pi\) |
0.520179 | + | 0.854057i | \(0.325865\pi\) | |||||||
\(192\) | −0.670630 | − | 3.30969i | −0.0483986 | − | 0.238856i | ||||
\(193\) | −3.01372 | + | 7.74069i | −0.216933 | + | 0.557187i | −0.997711 | − | 0.0676210i | \(-0.978459\pi\) |
0.780778 | + | 0.624808i | \(0.214823\pi\) | |||||||
\(194\) | −0.199514 | − | 6.98391i | −0.0143243 | − | 0.501415i | ||||
\(195\) | −1.13515 | − | 1.88243i | −0.0812896 | − | 0.134804i | ||||
\(196\) | 3.22478 | − | 15.9149i | 0.230342 | − | 1.13678i | ||||
\(197\) | 7.66493 | + | 4.92595i | 0.546104 | + | 0.350960i | 0.784422 | − | 0.620227i | \(-0.212960\pi\) |
−0.238318 | + | 0.971187i | \(0.576596\pi\) | |||||||
\(198\) | −10.6428 | − | 25.7603i | −0.756353 | − | 1.83070i | ||||
\(199\) | 12.2290 | − | 7.85912i | 0.866893 | − | 0.557118i | −0.0299080 | − | 0.999553i | \(-0.509521\pi\) |
0.896801 | + | 0.442434i | \(0.145885\pi\) | |||||||
\(200\) | 1.36728 | + | 3.51182i | 0.0966810 | + | 0.248323i | ||||
\(201\) | −17.7284 | + | 7.49208i | −1.25046 | + | 0.528450i | ||||
\(202\) | −0.844063 | − | 2.59776i | −0.0593881 | − | 0.182778i | ||||
\(203\) | 3.61216 | + | 6.84580i | 0.253524 | + | 0.480481i | ||||
\(204\) | 6.53694 | − | 8.47726i | 0.457678 | − | 0.593527i | ||||
\(205\) | 0.902122 | − | 0.443544i | 0.0630069 | − | 0.0309784i | ||||
\(206\) | 1.14447 | + | 0.562700i | 0.0797392 | + | 0.0392051i | ||||
\(207\) | 26.9260 | + | 34.9183i | 1.87149 | + | 2.42699i | ||||
\(208\) | 0.243683 | − | 0.533592i | 0.0168964 | − | 0.0369980i | ||||
\(209\) | 9.39478 | − | 1.82503i | 0.649850 | − | 0.126240i | ||||
\(210\) | 7.50429 | + | 16.4321i | 0.517845 | + | 1.13392i | ||||
\(211\) | −1.14723 | + | 2.17424i | −0.0789783 | + | 0.149681i | −0.920750 | − | 0.390153i | \(-0.872422\pi\) |
0.841772 | + | 0.539834i | \(0.181513\pi\) | |||||||
\(212\) | −6.47026 | − | 1.11972i | −0.444379 | − | 0.0769028i | ||||
\(213\) | 38.4375 | + | 4.41029i | 2.63369 | + | 0.302188i | ||||
\(214\) | −2.41696 | − | 2.48699i | −0.165220 | − | 0.170007i | ||||
\(215\) | 3.89086 | − | 2.82688i | 0.265355 | − | 0.192791i | ||||
\(216\) | −14.1268 | − | 11.5514i | −0.961207 | − | 0.785975i | ||||
\(217\) | −27.5100 | + | 3.15648i | −1.86750 | + | 0.214276i | ||||
\(218\) | 11.0382 | + | 0.631188i | 0.747602 | + | 0.0427494i | ||||
\(219\) | 15.6304 | + | 4.58949i | 1.05620 | + | 0.310129i | ||||
\(220\) | 1.45991 | − | 3.37847i | 0.0984274 | − | 0.227777i | ||||
\(221\) | 1.78421 | − | 0.523890i | 0.120019 | − | 0.0352406i | ||||
\(222\) | −14.5133 | + | 3.37492i | −0.974068 | + | 0.226510i | ||||
\(223\) | −4.41935 | − | 4.05604i | −0.295941 | − | 0.271613i | 0.514426 | − | 0.857535i | \(-0.328005\pi\) |
−0.810367 | + | 0.585922i | \(0.800732\pi\) | |||||||
\(224\) | −2.48936 | + | 4.12813i | −0.166327 | + | 0.275822i | ||||
\(225\) | 27.5770 | + | 15.5734i | 1.83846 | + | 1.03823i | ||||
\(226\) | −6.75636 | + | 2.41066i | −0.449426 | + | 0.160355i | ||||
\(227\) | 7.63933 | − | 29.0630i | 0.507040 | − | 1.92898i | 0.181895 | − | 0.983318i | \(-0.441777\pi\) |
0.325145 | − | 0.945664i | \(-0.394587\pi\) | |||||||
\(228\) | 7.54360 | − | 6.16837i | 0.499587 | − | 0.408511i | ||||
\(229\) | 18.3740 | − | 18.9064i | 1.21419 | − | 1.24937i | 0.254892 | − | 0.966969i | \(-0.417960\pi\) |
0.959296 | − | 0.282401i | \(-0.0911310\pi\) | |||||||
\(230\) | −0.828621 | + | 5.76319i | −0.0546377 | + | 0.380013i | ||||
\(231\) | −18.5525 | + | 50.7037i | −1.22066 | + | 3.33606i | ||||
\(232\) | −0.228511 | − | 1.58933i | −0.0150025 | − | 0.104344i | ||||
\(233\) | −17.8841 | − | 12.9936i | −1.17163 | − | 0.851237i | −0.180425 | − | 0.983589i | \(-0.557747\pi\) |
−0.991203 | + | 0.132352i | \(0.957747\pi\) | |||||||
\(234\) | −1.25322 | − | 4.76773i | −0.0819253 | − | 0.311676i | ||||
\(235\) | −2.34230 | − | 3.42551i | −0.152795 | − | 0.223456i | ||||
\(236\) | −6.66626 | − | 1.55017i | −0.433937 | − | 0.100908i | ||||
\(237\) | −20.8105 | + | 1.18999i | −1.35179 | + | 0.0772979i | ||||
\(238\) | −15.0575 | + | 2.60581i | −0.976036 | + | 0.168910i | ||||
\(239\) | −6.20514 | + | 19.0974i | −0.401377 | + | 1.23531i | 0.522506 | + | 0.852636i | \(0.324997\pi\) |
−0.923883 | + | 0.382675i | \(0.875003\pi\) | |||||||
\(240\) | −0.320680 | − | 3.73361i | −0.0206998 | − | 0.241003i | ||||
\(241\) | 0.531960 | 0.0342666 | 0.0171333 | − | 0.999853i | \(-0.494546\pi\) | ||||
0.0171333 | + | 0.999853i | \(0.494546\pi\) | |||||||
\(242\) | 10.2000 | − | 4.11831i | 0.655679 | − | 0.264735i | ||||
\(243\) | −68.2176 | −4.37616 | ||||||||
\(244\) | −0.181606 | − | 2.11440i | −0.0116261 | − | 0.135361i | ||||
\(245\) | 5.56832 | − | 17.1375i | 0.355747 | − | 1.09488i | ||||
\(246\) | 3.01437 | − | 0.521658i | 0.192189 | − | 0.0332597i | ||||
\(247\) | 1.68993 | − | 0.0966337i | 0.107528 | − | 0.00614865i | ||||
\(248\) | 5.59490 | + | 1.30104i | 0.355277 | + | 0.0826161i | ||||
\(249\) | 28.3900 | + | 41.5191i | 1.79914 | + | 2.63116i | ||||
\(250\) | 2.47364 | + | 9.41071i | 0.156447 | + | 0.595186i | ||||
\(251\) | 0.276847 | + | 0.201141i | 0.0174744 | + | 0.0126959i | 0.596488 | − | 0.802622i | \(-0.296562\pi\) |
−0.579014 | + | 0.815318i | \(0.696562\pi\) | |||||||
\(252\) | 5.76538 | + | 40.0991i | 0.363185 | + | 2.52601i | ||||
\(253\) | −13.8659 | + | 10.5153i | −0.871739 | + | 0.661091i | ||||
\(254\) | −2.41238 | + | 16.7784i | −0.151366 | + | 1.05277i | ||||
\(255\) | 8.27900 | − | 8.51889i | 0.518451 | − | 0.533473i | ||||
\(256\) | 0.774142 | − | 0.633012i | 0.0483839 | − | 0.0395633i | ||||
\(257\) | 0.815189 | − | 3.10130i | 0.0508501 | − | 0.193454i | −0.936873 | − | 0.349671i | \(-0.886293\pi\) |
0.987723 | + | 0.156217i | \(0.0499299\pi\) | |||||||
\(258\) | 13.7845 | − | 4.91831i | 0.858188 | − | 0.306201i | ||||
\(259\) | 18.5213 | + | 10.4595i | 1.15086 | + | 0.649919i | ||||
\(260\) | 0.336146 | − | 0.557435i | 0.0208469 | − | 0.0345707i | ||||
\(261\) | −9.94138 | − | 9.12412i | −0.615356 | − | 0.564769i | ||||
\(262\) | −2.62888 | + | 0.611320i | −0.162413 | + | 0.0377675i | ||||
\(263\) | 13.3010 | − | 3.90553i | 0.820176 | − | 0.240825i | 0.155384 | − | 0.987854i | \(-0.450338\pi\) |
0.664792 | + | 0.747029i | \(0.268520\pi\) | |||||||
\(264\) | 7.15935 | − | 8.61310i | 0.440627 | − | 0.530100i | ||||
\(265\) | −6.99151 | − | 2.05289i | −0.429485 | − | 0.126108i | ||||
\(266\) | −13.8876 | − | 0.794123i | −0.851505 | − | 0.0486908i | ||||
\(267\) | 40.3706 | − | 4.63210i | 2.47064 | − | 0.283480i | ||||
\(268\) | −4.41212 | − | 3.60777i | −0.269513 | − | 0.220380i | ||||
\(269\) | 0.947152 | − | 0.688146i | 0.0577489 | − | 0.0419570i | −0.558536 | − | 0.829480i | \(-0.688637\pi\) |
0.616285 | + | 0.787523i | \(0.288637\pi\) | |||||||
\(270\) | −14.1129 | − | 14.5219i | −0.858885 | − | 0.883772i | ||||
\(271\) | −10.8081 | − | 1.24012i | −0.656548 | − | 0.0753318i | −0.220685 | − | 0.975345i | \(-0.570829\pi\) |
−0.435862 | + | 0.900013i | \(0.643557\pi\) | |||||||
\(272\) | 3.12357 | + | 0.540555i | 0.189394 | + | 0.0327760i | ||||
\(273\) | −4.45634 | + | 8.44571i | −0.269710 | + | 0.511157i | ||||
\(274\) | −1.40797 | − | 3.08302i | −0.0850585 | − | 0.186252i | ||||
\(275\) | −6.23358 | + | 10.8337i | −0.375899 | + | 0.653294i | ||||
\(276\) | −7.36059 | + | 16.1174i | −0.443055 | + | 0.970156i | ||||
\(277\) | −10.6758 | − | 13.8446i | −0.641444 | − | 0.831839i | 0.353163 | − | 0.935562i | \(-0.385106\pi\) |
−0.994606 | + | 0.103723i | \(0.966924\pi\) | |||||||
\(278\) | 10.3161 | + | 5.07208i | 0.618718 | + | 0.304203i | ||||
\(279\) | 43.3201 | − | 21.2990i | 2.59350 | − | 1.27514i | ||||
\(280\) | −3.26658 | + | 4.23618i | −0.195216 | + | 0.253160i | ||||
\(281\) | −2.44004 | − | 4.62439i | −0.145561 | − | 0.275868i | 0.800830 | − | 0.598891i | \(-0.204392\pi\) |
−0.946391 | + | 0.323023i | \(0.895301\pi\) | |||||||
\(282\) | −3.90238 | − | 12.0103i | −0.232383 | − | 0.715203i | ||||
\(283\) | 6.36035 | − | 2.68791i | 0.378084 | − | 0.159780i | −0.191942 | − | 0.981406i | \(-0.561479\pi\) |
0.570026 | + | 0.821627i | \(0.306933\pi\) | |||||||
\(284\) | 4.15668 | + | 10.6764i | 0.246654 | + | 0.633525i | ||||
\(285\) | 9.09673 | − | 5.84611i | 0.538844 | − | 0.346294i | ||||
\(286\) | 1.88554 | − | 0.479431i | 0.111494 | − | 0.0283493i | ||||
\(287\) | −3.67375 | − | 2.36098i | −0.216855 | − | 0.139364i | ||||
\(288\) | 1.66891 | − | 8.23641i | 0.0983416 | − | 0.485335i | ||||
\(289\) | −3.58953 | − | 5.95257i | −0.211149 | − | 0.350151i | ||||
\(290\) | −0.0508809 | − | 1.78106i | −0.00298783 | − | 0.104588i | ||||
\(291\) | 8.56006 | − | 21.9863i | 0.501799 | − | 1.28886i | ||||
\(292\) | 0.957989 | + | 4.72786i | 0.0560621 | + | 0.276677i | ||||
\(293\) | −1.20345 | + | 1.10451i | −0.0703061 | + | 0.0645264i | −0.710558 | − | 0.703639i | \(-0.751557\pi\) |
0.640252 | + | 0.768165i | \(0.278830\pi\) | |||||||
\(294\) | 30.9519 | − | 45.2657i | 1.80515 | − | 2.63995i | ||||
\(295\) | −7.15315 | − | 2.55224i | −0.416472 | − | 0.148597i | ||||
\(296\) | −2.88952 | − | 3.33468i | −0.167950 | − | 0.193825i | ||||
\(297\) | 0.487144 | − | 60.5209i | 0.0282670 | − | 3.51178i | ||||
\(298\) | 8.17491 | − | 9.43434i | 0.473560 | − | 0.546517i | ||||
\(299\) | −2.68004 | + | 1.51349i | −0.154991 | + | 0.0875272i | ||||
\(300\) | −0.363415 | + | 12.7212i | −0.0209818 | + | 0.734457i | ||||
\(301\) | −19.2446 | − | 8.13284i | −1.10924 | − | 0.468769i | ||||
\(302\) | −1.62116 | + | 18.8749i | −0.0932875 | + | 1.08613i | ||||
\(303\) | 0.789340 | − | 9.19012i | 0.0453464 | − | 0.527959i | ||||
\(304\) | 2.65798 | + | 1.12327i | 0.152446 | + | 0.0644241i | ||||
\(305\) | 0.0672483 | − | 2.35400i | 0.00385063 | − | 0.134790i | ||||
\(306\) | 23.1967 | − | 13.0998i | 1.32607 | − | 0.748864i | ||||
\(307\) | −7.81704 | + | 9.02134i | −0.446142 | + | 0.514875i | −0.933622 | − | 0.358259i | \(-0.883371\pi\) |
0.487480 | + | 0.873134i | \(0.337916\pi\) | |||||||
\(308\) | −15.8432 | + | 2.14790i | −0.902753 | + | 0.122388i | ||||
\(309\) | 2.82029 | + | 3.25479i | 0.160441 | + | 0.185159i | ||||
\(310\) | 6.00354 | + | 2.14206i | 0.340978 | + | 0.121661i | ||||
\(311\) | −5.84794 | + | 8.55234i | −0.331606 | + | 0.484959i | −0.954858 | − | 0.297062i | \(-0.903993\pi\) |
0.623252 | + | 0.782021i | \(0.285811\pi\) | |||||||
\(312\) | 1.45943 | − | 1.33945i | 0.0826239 | − | 0.0758316i | ||||
\(313\) | 6.15792 | + | 30.3905i | 0.348066 | + | 1.71777i | 0.646129 | + | 0.763228i | \(0.276387\pi\) |
−0.298063 | + | 0.954546i | \(0.596341\pi\) | |||||||
\(314\) | −7.42490 | + | 19.0707i | −0.419012 | + | 1.07622i | ||||
\(315\) | 1.28374 | + | 44.9367i | 0.0723304 | + | 2.53189i | ||||
\(316\) | −3.18750 | − | 5.28588i | −0.179311 | − | 0.297354i | ||||
\(317\) | 0.231270 | − | 1.14136i | 0.0129894 | − | 0.0641052i | −0.973064 | − | 0.230537i | \(-0.925952\pi\) |
0.986053 | + | 0.166432i | \(0.0532245\pi\) | |||||||
\(318\) | −18.6544 | − | 11.9884i | −1.04609 | − | 0.672278i | ||||
\(319\) | 3.63237 | − | 3.89434i | 0.203374 | − | 0.218041i | ||||
\(320\) | 0.933527 | − | 0.599941i | 0.0521857 | − | 0.0335377i | ||||
\(321\) | −4.24890 | − | 10.9132i | −0.237150 | − | 0.609115i | ||||
\(322\) | 23.2984 | − | 9.84599i | 1.29837 | − | 0.548696i | ||||
\(323\) | 2.82667 | + | 8.69961i | 0.157280 | + | 0.484059i | ||||
\(324\) | −16.9924 | − | 32.2043i | −0.944025 | − | 1.78913i | ||||
\(325\) | −1.34994 | + | 1.75063i | −0.0748812 | + | 0.0971076i | ||||
\(326\) | −1.23711 | + | 0.608244i | −0.0685170 | + | 0.0336875i | ||||
\(327\) | 33.5056 | + | 16.4736i | 1.85286 | + | 0.910992i | ||||
\(328\) | 0.553186 | + | 0.717384i | 0.0305446 | + | 0.0396109i | ||||
\(329\) | −7.48872 | + | 16.3980i | −0.412867 | + | 0.904052i | ||||
\(330\) | 8.98235 | − | 8.58991i | 0.494462 | − | 0.472859i | ||||
\(331\) | −9.80972 | − | 21.4803i | −0.539191 | − | 1.18066i | −0.961650 | − | 0.274281i | \(-0.911560\pi\) |
0.422459 | − | 0.906382i | \(-0.361167\pi\) | |||||||
\(332\) | −6.95069 | + | 13.1730i | −0.381469 | + | 0.722964i | ||||
\(333\) | −36.5380 | − | 6.32314i | −2.00227 | − | 0.346506i | ||||
\(334\) | −12.5397 | − | 1.43879i | −0.686140 | − | 0.0787273i | ||||
\(335\) | −4.40778 | − | 4.53550i | −0.240823 | − | 0.247801i | ||||
\(336\) | −13.1700 | + | 9.56855i | −0.718481 | + | 0.522007i | ||||
\(337\) | −26.0764 | − | 21.3226i | −1.42047 | − | 1.16151i | −0.962081 | − | 0.272762i | \(-0.912063\pi\) |
−0.458390 | − | 0.888751i | \(-0.651574\pi\) | |||||||
\(338\) | −12.5734 | + | 1.44266i | −0.683903 | + | 0.0784706i | ||||
\(339\) | −24.1852 | − | 1.38296i | −1.31356 | − | 0.0751120i | ||||
\(340\) | 3.37521 | + | 0.991052i | 0.183047 | + | 0.0537473i | ||||
\(341\) | 8.26796 | + | 17.1637i | 0.447735 | + | 0.929467i | ||||
\(342\) | 23.2676 | − | 6.83197i | 1.25817 | − | 0.369431i | ||||
\(343\) | −43.3772 | + | 10.0869i | −2.34215 | + | 0.544644i | ||||
\(344\) | 3.19303 | + | 2.93054i | 0.172157 | + | 0.158004i | ||||
\(345\) | −10.1535 | + | 16.8376i | −0.546644 | + | 0.906508i | ||||
\(346\) | −12.2577 | − | 6.92227i | −0.658981 | − | 0.372143i | ||||
\(347\) | −11.8738 | + | 4.23657i | −0.637420 | + | 0.227431i | −0.634934 | − | 0.772566i | \(-0.718973\pi\) |
−0.00248523 | + | 0.999997i | \(0.500791\pi\) | |||||||
\(348\) | 1.37844 | − | 5.24413i | 0.0738922 | − | 0.281115i | ||||
\(349\) | −4.70873 | + | 3.85031i | −0.252053 | + | 0.206102i | −0.750594 | − | 0.660763i | \(-0.770233\pi\) |
0.498542 | + | 0.866866i | \(0.333869\pi\) | |||||||
\(350\) | 12.6612 | − | 13.0281i | 0.676772 | − | 0.696382i | ||||
\(351\) | 1.52341 | − | 10.5956i | 0.0813137 | − | 0.565549i | ||||
\(352\) | 3.24516 | + | 0.684792i | 0.172968 | + | 0.0364996i | ||||
\(353\) | −4.37122 | − | 30.4025i | −0.232656 | − | 1.61816i | −0.686535 | − | 0.727097i | \(-0.740869\pi\) |
0.453879 | − | 0.891064i | \(-0.350040\pi\) | |||||||
\(354\) | −18.6982 | − | 13.5851i | −0.993799 | − | 0.722038i | ||||
\(355\) | 3.23204 | + | 12.2960i | 0.171539 | + | 0.652602i | ||||
\(356\) | 6.79206 | + | 9.93306i | 0.359978 | + | 0.526451i | ||||
\(357\) | −50.2633 | − | 11.6882i | −2.66022 | − | 0.618607i | ||||
\(358\) | 5.83930 | − | 0.333903i | 0.308617 | − | 0.0176473i | ||||
\(359\) | 1.79496 | − | 0.310630i | 0.0947343 | − | 0.0163944i | −0.122958 | − | 0.992412i | \(-0.539238\pi\) |
0.217692 | + | 0.976017i | \(0.430147\pi\) | |||||||
\(360\) | 2.88176 | − | 8.86914i | 0.151882 | − | 0.467445i | ||||
\(361\) | −0.913376 | − | 10.6342i | −0.0480724 | − | 0.559697i | ||||
\(362\) | −7.47476 | −0.392865 | ||||||||
\(363\) | 37.1416 | + | 0.597959i | 1.94943 | + | 0.0313847i | ||||
\(364\) | −2.82779 | −0.148216 | ||||||||
\(365\) | 0.458088 | + | 5.33343i | 0.0239774 | + | 0.279164i | ||||
\(366\) | 2.21458 | − | 6.81576i | 0.115758 | − | 0.356266i | ||||
\(367\) | 15.7149 | − | 2.71957i | 0.820310 | − | 0.141960i | 0.255108 | − | 0.966913i | \(-0.417889\pi\) |
0.565202 | + | 0.824952i | \(0.308798\pi\) | |||||||
\(368\) | −5.23838 | + | 0.299541i | −0.273069 | + | 0.0156147i | ||||
\(369\) | 7.41514 | + | 1.72432i | 0.386017 | + | 0.0897644i | ||||
\(370\) | −2.76374 | − | 4.04184i | −0.143680 | − | 0.210125i | ||||
\(371\) | 8.04709 | + | 30.6143i | 0.417784 | + | 1.58942i | ||||
\(372\) | 15.6932 | + | 11.4018i | 0.813653 | + | 0.591154i | ||||
\(373\) | −2.81259 | − | 19.5620i | −0.145630 | − | 1.01288i | −0.923265 | − | 0.384164i | \(-0.874490\pi\) |
0.777634 | − | 0.628717i | \(-0.216420\pi\) | |||||||
\(374\) | 5.09608 | + | 9.19608i | 0.263512 | + | 0.475518i | ||||
\(375\) | −4.67633 | + | 32.5246i | −0.241485 | + | 1.67956i | ||||
\(376\) | 2.60625 | − | 2.68177i | 0.134407 | − | 0.138302i | ||||
\(377\) | 0.729156 | − | 0.596228i | 0.0375535 | − | 0.0307073i | ||||
\(378\) | −22.3631 | + | 85.0782i | −1.15024 | + | 4.37595i | ||||
\(379\) | −6.19980 | + | 2.21208i | −0.318462 | + | 0.113627i | −0.490443 | − | 0.871473i | \(-0.663165\pi\) |
0.171981 | + | 0.985100i | \(0.444983\pi\) | |||||||
\(380\) | 2.78821 | + | 1.57457i | 0.143032 | + | 0.0807740i | ||||
\(381\) | −29.5599 | + | 49.0196i | −1.51440 | + | 2.51135i | ||||
\(382\) | −3.95579 | − | 3.63059i | −0.202396 | − | 0.185757i | ||||
\(383\) | 26.0150 | − | 6.04952i | 1.32930 | − | 0.309116i | 0.499084 | − | 0.866554i | \(-0.333670\pi\) |
0.830219 | + | 0.557437i | \(0.188215\pi\) | |||||||
\(384\) | 3.24016 | − | 0.951397i | 0.165349 | − | 0.0485508i | ||||
\(385\) | −17.7381 | + | 0.363876i | −0.904019 | + | 0.0185448i | ||||
\(386\) | −7.97019 | − | 2.34026i | −0.405672 | − | 0.119116i | ||||
\(387\) | 36.3626 | + | 2.07929i | 1.84841 | + | 0.105696i | ||||
\(388\) | 6.94121 | − | 0.796430i | 0.352387 | − | 0.0404326i | ||||
\(389\) | 0.811761 | + | 0.663774i | 0.0411579 | + | 0.0336547i | 0.653368 | − | 0.757041i | \(-0.273356\pi\) |
−0.612210 | + | 0.790695i | \(0.709719\pi\) | |||||||
\(390\) | 1.77839 | − | 1.29207i | 0.0900520 | − | 0.0654266i | ||||
\(391\) | −11.5920 | − | 11.9279i | −0.586233 | − | 0.603220i | ||||
\(392\) | 16.1325 | + | 1.85103i | 0.814815 | + | 0.0934913i | ||||
\(393\) | −8.98097 | − | 1.55422i | −0.453030 | − | 0.0783999i | ||||
\(394\) | −4.25196 | + | 8.05836i | −0.214211 | + | 0.405974i | ||||
\(395\) | −2.84543 | − | 6.23063i | −0.143169 | − | 0.313497i | ||||
\(396\) | 24.7550 | − | 12.8082i | 1.24399 | − | 0.643637i | ||||
\(397\) | 7.42389 | − | 16.2561i | 0.372594 | − | 0.815868i | −0.626734 | − | 0.779233i | \(-0.715609\pi\) |
0.999329 | − | 0.0366350i | \(-0.0116639\pi\) | |||||||
\(398\) | 8.87679 | + | 11.5116i | 0.444953 | + | 0.577026i | ||||
\(399\) | −42.1548 | − | 20.7261i | −2.11038 | − | 1.03760i | ||||
\(400\) | −3.38193 | + | 1.66278i | −0.169097 | + | 0.0831392i | ||||
\(401\) | 11.3083 | − | 14.6648i | 0.564708 | − | 0.732326i | −0.419810 | − | 0.907612i | \(-0.637903\pi\) |
0.984518 | + | 0.175286i | \(0.0560850\pi\) | |||||||
\(402\) | −8.98170 | − | 17.0222i | −0.447966 | − | 0.848991i | ||||
\(403\) | 1.04125 | + | 3.20463i | 0.0518683 | + | 0.159634i | ||||
\(404\) | 2.51600 | − | 1.06327i | 0.125176 | − | 0.0528997i | ||||
\(405\) | −14.6597 | − | 37.6531i | −0.728446 | − | 1.87100i | ||||
\(406\) | −6.51158 | + | 4.18474i | −0.323164 | + | 0.207685i | ||||
\(407\) | 2.61146 | − | 14.3995i | 0.129446 | − | 0.713754i | ||||
\(408\) | 9.00556 | + | 5.78752i | 0.445842 | + | 0.286525i | ||||
\(409\) | −3.03059 | + | 14.9565i | −0.149853 | + | 0.739553i | 0.832723 | + | 0.553690i | \(0.186781\pi\) |
−0.982576 | + | 0.185863i | \(0.940492\pi\) | |||||||
\(410\) | 0.519116 | + | 0.860857i | 0.0256373 | + | 0.0425147i | ||||
\(411\) | −0.326839 | − | 11.4408i | −0.0161218 | − | 0.564335i | ||||
\(412\) | −0.462697 | + | 1.18843i | −0.0227955 | + | 0.0585497i | ||||
\(413\) | 6.55208 | + | 32.3358i | 0.322407 | + | 1.59114i | ||||
\(414\) | −32.4860 | + | 29.8154i | −1.59660 | + | 1.46535i | ||||
\(415\) | −9.32912 | + | 13.6434i | −0.457949 | + | 0.669728i | ||||
\(416\) | 0.552488 | + | 0.197127i | 0.0270879 | + | 0.00966496i | ||||
\(417\) | 25.4216 | + | 29.3381i | 1.24490 | + | 1.43669i | ||||
\(418\) | 2.62230 | + | 9.20414i | 0.128261 | + | 0.450189i | ||||
\(419\) | −1.38489 | + | 1.59825i | −0.0676564 | + | 0.0780796i | −0.788569 | − | 0.614947i | \(-0.789178\pi\) |
0.720912 | + | 0.693026i | \(0.243723\pi\) | |||||||
\(420\) | −15.7296 | + | 8.88294i | −0.767528 | + | 0.433443i | ||||
\(421\) | −0.148070 | + | 5.18313i | −0.00721650 | + | 0.252610i | 0.987972 | + | 0.154632i | \(0.0494193\pi\) |
−0.995189 | + | 0.0979780i | \(0.968763\pi\) | |||||||
\(422\) | −2.26443 | − | 0.956958i | −0.110231 | − | 0.0465840i | ||||
\(423\) | 2.68934 | − | 31.3114i | 0.130760 | − | 1.52241i | ||||
\(424\) | 0.561922 | − | 6.54234i | 0.0272894 | − | 0.317724i | ||||
\(425\) | −11.0042 | − | 4.65040i | −0.533780 | − | 0.225577i | ||||
\(426\) | −1.10482 | + | 38.6739i | −0.0535289 | + | 1.87376i | ||||
\(427\) | −8.90795 | + | 5.03055i | −0.431086 | + | 0.243445i | ||||
\(428\) | 2.27103 | − | 2.62091i | 0.109775 | − | 0.126687i | ||||
\(429\) | 6.49538 | + | 0.987320i | 0.313600 | + | 0.0476682i | ||||
\(430\) | 3.14947 | + | 3.63468i | 0.151881 | + | 0.175280i | ||||
\(431\) | 2.29660 | + | 0.819424i | 0.110623 | + | 0.0394703i | 0.390781 | − | 0.920484i | \(-0.372205\pi\) |
−0.280158 | + | 0.959954i | \(0.590387\pi\) | |||||||
\(432\) | 10.3001 | − | 15.0635i | 0.495566 | − | 0.724742i | ||||
\(433\) | 21.2385 | − | 19.4926i | 1.02066 | − | 0.936753i | 0.0226452 | − | 0.999744i | \(-0.492791\pi\) |
0.998014 | + | 0.0629909i | \(0.0200639\pi\) | |||||||
\(434\) | −5.49907 | − | 27.1390i | −0.263964 | − | 1.30271i | ||||
\(435\) | 2.18302 | − | 5.60704i | 0.104668 | − | 0.268837i | ||||
\(436\) | 0.315723 | + | 11.0517i | 0.0151204 | + | 0.529282i | ||||
\(437\) | −7.81851 | − | 12.9655i | −0.374010 | − | 0.620226i | ||||
\(438\) | −3.23508 | + | 15.9658i | −0.154578 | + | 0.762873i | ||||
\(439\) | −20.4951 | − | 13.1714i | −0.978179 | − | 0.628637i | −0.0492075 | − | 0.998789i | \(-0.515670\pi\) |
−0.928972 | + | 0.370151i | \(0.879306\pi\) | |||||||
\(440\) | 3.49101 | + | 1.16545i | 0.166427 | + | 0.0555605i | ||||
\(441\) | 114.801 | − | 73.7779i | 5.46670 | − | 3.51323i | ||||
\(442\) | 0.674651 | + | 1.73283i | 0.0320899 | + | 0.0824222i | ||||
\(443\) | −36.6824 | + | 15.5021i | −1.74283 | + | 0.736527i | −0.745267 | + | 0.666766i | \(0.767678\pi\) |
−0.997564 | + | 0.0697609i | \(0.977776\pi\) | |||||||
\(444\) | −4.60451 | − | 14.1712i | −0.218521 | − | 0.672537i | ||||
\(445\) | 6.23144 | + | 11.8099i | 0.295399 | + | 0.559842i | ||||
\(446\) | 3.66298 | − | 4.75023i | 0.173447 | − | 0.224930i | ||||
\(447\) | 37.8306 | − | 18.6001i | 1.78933 | − | 0.879753i | ||||
\(448\) | −4.32602 | − | 2.12696i | −0.204385 | − | 0.100489i | ||||
\(449\) | −17.0546 | − | 22.1169i | −0.804858 | − | 1.04376i | −0.998039 | − | 0.0625958i | \(-0.980062\pi\) |
0.193180 | − | 0.981163i | \(-0.438120\pi\) | |||||||
\(450\) | −13.1564 | + | 28.8085i | −0.620199 | + | 1.35805i | ||||
\(451\) | −0.704049 | + | 2.92088i | −0.0331524 | + | 0.137539i | ||||
\(452\) | −2.97999 | − | 6.52528i | −0.140167 | − | 0.306923i | ||||
\(453\) | −29.8547 | + | 56.5809i | −1.40269 | + | 2.65840i | ||||
\(454\) | 29.6102 | + | 5.12424i | 1.38967 | + | 0.240493i | ||||
\(455\) | −3.11750 | − | 0.357700i | −0.146151 | − | 0.0167692i | ||||
\(456\) | 6.79129 | + | 6.98807i | 0.318031 | + | 0.327247i | ||||
\(457\) | 24.0254 | − | 17.4554i | 1.12386 | − | 0.816531i | 0.139070 | − | 0.990283i | \(-0.455589\pi\) |
0.984790 | + | 0.173751i | \(0.0555888\pi\) | |||||||
\(458\) | 20.4094 | + | 16.6887i | 0.953669 | + | 0.779811i | ||||
\(459\) | 57.4702 | − | 6.59409i | 2.68248 | − | 0.307786i | ||||
\(460\) | −5.81295 | − | 0.332397i | −0.271030 | − | 0.0154981i | ||||
\(461\) | −38.4232 | − | 11.2821i | −1.78954 | − | 0.525458i | −0.793053 | − | 0.609152i | \(-0.791510\pi\) |
−0.996491 | + | 0.0836948i | \(0.973328\pi\) | |||||||
\(462\) | −52.1053 | − | 14.1454i | −2.42416 | − | 0.658105i | ||||
\(463\) | 25.2790 | − | 7.42259i | 1.17482 | − | 0.344957i | 0.364642 | − | 0.931148i | \(-0.381191\pi\) |
0.810173 | + | 0.586191i | \(0.199373\pi\) | |||||||
\(464\) | 1.56394 | − | 0.363679i | 0.0726042 | − | 0.0168834i | ||||
\(465\) | 15.8587 | + | 14.5550i | 0.735430 | + | 0.674972i | ||||
\(466\) | 11.4155 | − | 18.9304i | 0.528812 | − | 0.876936i | ||||
\(467\) | −7.01220 | − | 3.95997i | −0.324486 | − | 0.183246i | 0.320879 | − | 0.947120i | \(-0.396022\pi\) |
−0.645365 | + | 0.763875i | \(0.723295\pi\) | |||||||
\(468\) | 4.64299 | − | 1.65662i | 0.214622 | − | 0.0765771i | ||||
\(469\) | −6.98451 | + | 26.5718i | −0.322515 | + | 1.22697i | ||||
\(470\) | 3.21250 | − | 2.62685i | 0.148182 | − | 0.121167i | ||||
\(471\) | −48.1651 | + | 49.5608i | −2.21933 | + | 2.28364i | ||||
\(472\) | 0.974021 | − | 6.77446i | 0.0448329 | − | 0.311820i | ||||
\(473\) | −0.936090 | + | 14.3437i | −0.0430415 | + | 0.659525i | ||||
\(474\) | −2.96648 | − | 20.6323i | −0.136255 | − | 0.947674i | ||||
\(475\) | −8.79774 | − | 6.39194i | −0.403668 | − | 0.293282i | ||||
\(476\) | −3.88480 | − | 14.7793i | −0.178060 | − | 0.677409i | ||||
\(477\) | −31.1476 | − | 45.5519i | −1.42615 | − | 2.08568i | ||||
\(478\) | −19.5584 | − | 4.54811i | −0.894580 | − | 0.208026i | ||||
\(479\) | −7.13959 | + | 0.408257i | −0.326216 | + | 0.0186537i | −0.219430 | − | 0.975628i | \(-0.570420\pi\) |
−0.106786 | + | 0.994282i | \(0.534056\pi\) | |||||||
\(480\) | 3.69247 | − | 0.639007i | 0.168537 | − | 0.0291665i | ||||
\(481\) | 0.799840 | − | 2.46165i | 0.0364695 | − | 0.112242i | ||||
\(482\) | 0.0455225 | + | 0.530009i | 0.00207349 | + | 0.0241412i | ||||
\(483\) | 85.4148 | 3.88651 | ||||||||
\(484\) | 4.97607 | + | 9.81013i | 0.226185 | + | 0.445915i | ||||
\(485\) | 7.75310 | 0.352050 | ||||||||
\(486\) | −5.83772 | − | 67.9674i | −0.264805 | − | 3.08306i | ||||
\(487\) | −4.22989 | + | 13.0183i | −0.191675 | + | 0.589914i | 0.808325 | + | 0.588737i | \(0.200375\pi\) |
−0.999999 | + | 0.00117680i | \(0.999625\pi\) | |||||||
\(488\) | 2.09110 | − | 0.361880i | 0.0946598 | − | 0.0163815i | ||||
\(489\) | −4.64769 | + | 0.265765i | −0.210176 | + | 0.0120183i | ||||
\(490\) | 17.5512 | + | 4.08135i | 0.792882 | + | 0.184377i | ||||
\(491\) | 21.6936 | + | 31.7259i | 0.979019 | + | 1.43177i | 0.900500 | + | 0.434857i | \(0.143201\pi\) |
0.0785192 | + | 0.996913i | \(0.474981\pi\) | |||||||
\(492\) | 0.777699 | + | 2.95867i | 0.0350614 | + | 0.133387i | ||||
\(493\) | 4.11788 | + | 2.99181i | 0.185460 | + | 0.134745i | ||||
\(494\) | 0.240895 | + | 1.67546i | 0.0108384 | + | 0.0753826i | ||||
\(495\) | 28.9114 | − | 10.9891i | 1.29947 | − | 0.493922i | ||||
\(496\) | −0.817483 | + | 5.68572i | −0.0367061 | + | 0.255296i | ||||
\(497\) | 38.4917 | − | 39.6070i | 1.72659 | − | 1.77662i | ||||
\(498\) | −38.9373 | + | 31.8389i | −1.74482 | + | 1.42673i | ||||
\(499\) | −5.27202 | + | 20.0568i | −0.236008 | + | 0.897868i | 0.738636 | + | 0.674105i | \(0.235470\pi\) |
−0.974644 | + | 0.223763i | \(0.928166\pi\) | |||||||
\(500\) | −9.16451 | + | 3.26989i | −0.409849 | + | 0.146234i | ||||
\(501\) | −37.1144 | − | 20.9595i | −1.65815 | − | 0.936400i | ||||
\(502\) | −0.176712 | + | 0.293044i | −0.00788703 | + | 0.0130792i | ||||
\(503\) | 19.4357 | + | 17.8379i | 0.866595 | + | 0.795354i | 0.980166 | − | 0.198176i | \(-0.0635018\pi\) |
−0.113571 | + | 0.993530i | \(0.536229\pi\) | |||||||
\(504\) | −39.4587 | + | 9.17572i | −1.75763 | + | 0.408719i | ||||
\(505\) | 2.90827 | − | 0.853944i | 0.129416 | − | 0.0380000i | ||||
\(506\) | −11.6633 | − | 12.9152i | −0.518497 | − | 0.574149i | ||||
\(507\) | −41.0071 | − | 12.0408i | −1.82119 | − | 0.534750i | ||||
\(508\) | −16.9233 | − | 0.967711i | −0.750851 | − | 0.0429352i | ||||
\(509\) | 6.26424 | − | 0.718755i | 0.277658 | − | 0.0318582i | 0.0259559 | − | 0.999663i | \(-0.491737\pi\) |
0.251702 | + | 0.967805i | \(0.419010\pi\) | |||||||
\(510\) | 9.19611 | + | 7.51963i | 0.407211 | + | 0.332975i | ||||
\(511\) | 18.8132 | − | 13.6686i | 0.832247 | − | 0.604663i | ||||
\(512\) | 0.696938 | + | 0.717132i | 0.0308006 | + | 0.0316930i | ||||
\(513\) | 52.3139 | + | 6.00246i | 2.30971 | + | 0.265015i | ||||
\(514\) | 3.15968 | + | 0.546805i | 0.139368 | + | 0.0241185i | ||||
\(515\) | −0.660432 | + | 1.25166i | −0.0291021 | + | 0.0551546i | ||||
\(516\) | 6.07988 | + | 13.3131i | 0.267652 | + | 0.586076i | ||||
\(517\) | 12.3483 | + | 1.16080i | 0.543079 | + | 0.0510518i | ||||
\(518\) | −8.83612 | + | 19.3484i | −0.388237 | + | 0.850120i | ||||
\(519\) | −29.0292 | − | 37.6457i | −1.27424 | − | 1.65246i | ||||
\(520\) | 0.584156 | + | 0.287210i | 0.0256169 | + | 0.0125950i | ||||
\(521\) | 24.5292 | − | 12.0602i | 1.07464 | − | 0.528366i | 0.183933 | − | 0.982939i | \(-0.441117\pi\) |
0.890710 | + | 0.454573i | \(0.150208\pi\) | |||||||
\(522\) | 8.23992 | − | 10.6857i | 0.360651 | − | 0.467701i | ||||
\(523\) | −16.0266 | − | 30.3738i | −0.700795 | − | 1.32815i | −0.934541 | − | 0.355856i | \(-0.884189\pi\) |
0.233746 | − | 0.972298i | \(-0.424902\pi\) | |||||||
\(524\) | −0.834044 | − | 2.56692i | −0.0364354 | − | 0.112137i | ||||
\(525\) | 56.5100 | − | 23.8813i | 2.46630 | − | 1.04227i | ||||
\(526\) | 5.02944 | + | 12.9180i | 0.219294 | + | 0.563252i | ||||
\(527\) | −15.3184 | + | 9.84457i | −0.667282 | + | 0.428836i | ||||
\(528\) | 9.19416 | + | 6.39602i | 0.400125 | + | 0.278351i | ||||
\(529\) | 3.81117 | + | 2.44929i | 0.165703 | + | 0.106491i | ||||
\(530\) | 1.44706 | − | 7.14154i | 0.0628564 | − | 0.310209i | ||||
\(531\) | −29.7014 | − | 49.2543i | −1.28893 | − | 2.13745i | ||||
\(532\) | −0.397223 | − | 13.9046i | −0.0172218 | − | 0.602842i | ||||
\(533\) | −0.192797 | + | 0.495195i | −0.00835096 | + | 0.0214493i | ||||
\(534\) | 8.06982 | + | 39.8261i | 0.349215 | + | 1.72345i | ||||
\(535\) | 2.83524 | − | 2.60216i | 0.122578 | − | 0.112501i | ||||
\(536\) | 3.21697 | − | 4.70467i | 0.138952 | − | 0.203211i | ||||
\(537\) | 18.6026 | + | 6.63739i | 0.802761 | + | 0.286425i | ||||
\(538\) | 0.766675 | + | 0.884790i | 0.0330537 | + | 0.0381460i | ||||
\(539\) | 28.7514 | + | 45.5399i | 1.23841 | + | 1.96154i | ||||
\(540\) | 13.2609 | − | 15.3039i | 0.570657 | − | 0.658573i | ||||
\(541\) | 19.7335 | − | 11.1440i | 0.848410 | − | 0.479119i | −0.00522756 | − | 0.999986i | \(-0.501664\pi\) |
0.853638 | + | 0.520867i | \(0.174391\pi\) | |||||||
\(542\) | 0.310663 | − | 10.8746i | 0.0133441 | − | 0.467105i | ||||
\(543\) | −23.2509 | − | 9.82592i | −0.997792 | − | 0.421670i | ||||
\(544\) | −0.271273 | + | 3.15837i | −0.0116307 | + | 0.135414i | ||||
\(545\) | −1.04992 | + | 12.2239i | −0.0449735 | + | 0.523616i | ||||
\(546\) | −8.79608 | − | 3.71725i | −0.376437 | − | 0.159084i | ||||
\(547\) | 0.0899621 | − | 3.14909i | 0.00384650 | − | 0.134645i | −0.995399 | − | 0.0958138i | \(-0.969455\pi\) |
0.999246 | − | 0.0388314i | \(-0.0123635\pi\) | |||||||
\(548\) | 2.95122 | − | 1.66663i | 0.126070 | − | 0.0711950i | ||||
\(549\) | 11.6791 | − | 13.4783i | 0.498450 | − | 0.575242i | ||||
\(550\) | −11.3274 | − | 5.28363i | −0.483000 | − | 0.225295i | ||||
\(551\) | 3.03417 | + | 3.50162i | 0.129260 | + | 0.149174i | ||||
\(552\) | −16.6882 | − | 5.95434i | −0.710297 | − | 0.253433i | ||||
\(553\) | −16.7954 | + | 24.5624i | −0.714212 | + | 1.04450i | ||||
\(554\) | 12.8802 | − | 11.8213i | 0.547227 | − | 0.502240i | ||||
\(555\) | −3.28367 | − | 16.2056i | −0.139384 | − | 0.687888i | ||||
\(556\) | −4.17067 | + | 10.7123i | −0.176876 | + | 0.454302i | ||||
\(557\) | −0.394819 | − | 13.8205i | −0.0167290 | − | 0.585592i | −0.964113 | − | 0.265493i | \(-0.914465\pi\) |
0.947384 | − | 0.320100i | \(-0.103716\pi\) | |||||||
\(558\) | 24.9280 | + | 41.3385i | 1.05529 | + | 1.75000i | ||||
\(559\) | −0.504883 | + | 2.49169i | −0.0213543 | + | 0.105387i | ||||
\(560\) | −4.50018 | − | 2.89209i | −0.190167 | − | 0.122213i | ||||
\(561\) | 3.76314 | + | 35.3043i | 0.158880 | + | 1.49055i | ||||
\(562\) | 4.39862 | − | 2.82682i | 0.185545 | − | 0.119242i | ||||
\(563\) | 9.28936 | + | 23.8595i | 0.391500 | + | 1.00556i | 0.980341 | + | 0.197311i | \(0.0632207\pi\) |
−0.588841 | + | 0.808249i | \(0.700416\pi\) | |||||||
\(564\) | 11.6323 | − | 4.91585i | 0.489808 | − | 0.206995i | ||||
\(565\) | −2.45989 | − | 7.57076i | −0.103488 | − | 0.318504i | ||||
\(566\) | 3.22233 | + | 6.10700i | 0.135445 | + | 0.256696i | ||||
\(567\) | −107.187 | + | 139.003i | −4.50143 | + | 5.83756i | ||||
\(568\) | −10.2815 | + | 5.05506i | −0.431401 | + | 0.212106i | ||||
\(569\) | −30.2484 | − | 14.8721i | −1.26808 | − | 0.623472i | −0.321794 | − | 0.946810i | \(-0.604286\pi\) |
−0.946284 | + | 0.323338i | \(0.895195\pi\) | |||||||
\(570\) | 6.60312 | + | 8.56308i | 0.276574 | + | 0.358668i | ||||
\(571\) | 8.95013 | − | 19.5981i | 0.374551 | − | 0.820153i | −0.624677 | − | 0.780883i | \(-0.714769\pi\) |
0.999229 | − | 0.0392701i | \(-0.0125033\pi\) | |||||||
\(572\) | 0.639027 | + | 1.83760i | 0.0267191 | + | 0.0768338i | ||||
\(573\) | −7.53226 | − | 16.4934i | −0.314665 | − | 0.689020i | ||||
\(574\) | 2.03793 | − | 3.86232i | 0.0850617 | − | 0.161210i | ||||
\(575\) | 19.4840 | + | 3.37184i | 0.812538 | + | 0.140615i | ||||
\(576\) | 8.34901 | + | 0.957960i | 0.347876 | + | 0.0399150i | ||||
\(577\) | 26.5776 | + | 27.3477i | 1.10644 | + | 1.13850i | 0.989377 | + | 0.145375i | \(0.0464390\pi\) |
0.117063 | + | 0.993124i | \(0.462652\pi\) | |||||||
\(578\) | 5.62356 | − | 4.08575i | 0.233909 | − | 0.169945i | ||||
\(579\) | −21.7156 | − | 17.7568i | −0.902470 | − | 0.737946i | ||||
\(580\) | 1.77018 | − | 0.203109i | 0.0735026 | − | 0.00843363i | ||||
\(581\) | 71.6827 | + | 4.09897i | 2.97390 | + | 0.170054i | ||||
\(582\) | 22.6382 | + | 6.64718i | 0.938384 | + | 0.275534i | ||||
\(583\) | 18.0758 | − | 12.1476i | 0.748623 | − | 0.503101i | ||||
\(584\) | −4.62854 | + | 1.35906i | −0.191530 | + | 0.0562384i | ||||
\(585\) | 5.32823 | − | 1.23903i | 0.220295 | − | 0.0512275i | ||||
\(586\) | −1.20345 | − | 1.10451i | −0.0497140 | − | 0.0456271i | ||||
\(587\) | −13.9050 | + | 23.0588i | −0.573920 | + | 0.951739i | 0.424997 | + | 0.905195i | \(0.360275\pi\) |
−0.998916 | + | 0.0465440i | \(0.985179\pi\) | |||||||
\(588\) | 47.7483 | + | 26.9647i | 1.96911 | + | 1.11201i | ||||
\(589\) | −15.6114 | + | 5.57013i | −0.643256 | + | 0.229513i | ||||
\(590\) | 1.93075 | − | 7.34532i | 0.0794875 | − | 0.302402i | ||||
\(591\) | −23.8192 | + | 19.4768i | −0.979790 | + | 0.801170i | ||||
\(592\) | 3.07518 | − | 3.16429i | 0.126389 | − | 0.130051i | ||||
\(593\) | −3.48677 | + | 24.2510i | −0.143185 | + | 0.995871i | 0.783865 | + | 0.620932i | \(0.213246\pi\) |
−0.927049 | + | 0.374939i | \(0.877664\pi\) | |||||||
\(594\) | 60.3406 | − | 4.69372i | 2.47580 | − | 0.192586i | ||||
\(595\) | −2.41331 | − | 16.7849i | −0.0989359 | − | 0.688114i | ||||
\(596\) | 10.0993 | + | 7.33757i | 0.413684 | + | 0.300559i | ||||
\(597\) | 12.4795 | + | 47.4769i | 0.510751 | + | 1.94310i | ||||
\(598\) | −1.73728 | − | 2.54069i | −0.0710426 | − | 0.103897i | ||||
\(599\) | −10.8021 | − | 2.51193i | −0.441364 | − | 0.102635i | −7.50892e−5 | − | 1.00000i | \(-0.500024\pi\) |
−0.441288 | + | 0.897365i | \(0.645478\pi\) | |||||||
\(600\) | −12.7056 | + | 0.726533i | −0.518704 | + | 0.0296606i | ||||
\(601\) | −42.2323 | + | 7.30859i | −1.72269 | + | 0.298124i | −0.944161 | − | 0.329483i | \(-0.893126\pi\) |
−0.778531 | + | 0.627607i | \(0.784035\pi\) | |||||||
\(602\) | 6.45615 | − | 19.8700i | 0.263133 | − | 0.809840i | ||||
\(603\) | −4.09872 | − | 47.7206i | −0.166913 | − | 1.94333i | ||||
\(604\) | −18.9444 | −0.770835 | ||||||||
\(605\) | 4.24495 | + | 11.4447i | 0.172582 | + | 0.465291i | ||||
\(606\) | 9.22395 | 0.374698 | ||||||||
\(607\) | −0.280912 | − | 3.27060i | −0.0114019 | − | 0.132750i | 0.988417 | − | 0.151760i | \(-0.0484940\pi\) |
−0.999819 | + | 0.0190101i | \(0.993949\pi\) | |||||||
\(608\) | −0.891695 | + | 2.74435i | −0.0361630 | + | 0.111298i | ||||
\(609\) | −25.7559 | + | 4.45723i | −1.04368 | + | 0.180616i | ||||
\(610\) | 2.35112 | − | 0.134442i | 0.0951940 | − | 0.00544339i | ||||
\(611\) | 2.13664 | + | 0.496854i | 0.0864391 | + | 0.0201005i | ||||
\(612\) | 15.0368 | + | 21.9906i | 0.607826 | + | 0.888917i | ||||
\(613\) | −9.60239 | − | 36.5313i | −0.387837 | − | 1.47548i | −0.819306 | − | 0.573356i | \(-0.805641\pi\) |
0.431469 | − | 0.902128i | \(-0.357995\pi\) | |||||||
\(614\) | −9.65719 | − | 7.01636i | −0.389733 | − | 0.283157i | ||||
\(615\) | 0.483120 | + | 3.36017i | 0.0194813 | + | 0.135495i | ||||
\(616\) | −3.49581 | − | 15.6013i | −0.140850 | − | 0.628595i | ||||
\(617\) | 1.87408 | − | 13.0345i | 0.0754476 | − | 0.524750i | −0.916690 | − | 0.399599i | \(-0.869149\pi\) |
0.992138 | − | 0.125151i | \(-0.0399415\pi\) | |||||||
\(618\) | −3.00150 | + | 3.08847i | −0.120738 | + | 0.124237i | ||||
\(619\) | −6.27322 | + | 5.12959i | −0.252142 | + | 0.206175i | −0.750633 | − | 0.660719i | \(-0.770251\pi\) |
0.498491 | + | 0.866895i | \(0.333888\pi\) | |||||||
\(620\) | −1.62045 | + | 6.16483i | −0.0650788 | + | 0.247585i | ||||
\(621\) | −90.1796 | + | 32.1760i | −3.61878 | + | 1.29118i | ||||
\(622\) | −9.02141 | − | 5.09462i | −0.361725 | − | 0.204276i | ||||
\(623\) | 29.9549 | − | 49.6746i | 1.20012 | − | 1.99017i | ||||
\(624\) | 1.45943 | + | 1.33945i | 0.0584239 | + | 0.0536210i | ||||
\(625\) | 7.83624 | − | 1.82224i | 0.313449 | − | 0.0728895i | ||||
\(626\) | −29.7521 | + | 8.73600i | −1.18913 | + | 0.349161i | ||||
\(627\) | −3.94238 | + | 32.0774i | −0.157443 | + | 1.28105i | ||||
\(628\) | −19.6361 | − | 5.76569i | −0.783567 | − | 0.230076i | ||||
\(629\) | 13.9646 | + | 0.798523i | 0.556804 | + | 0.0318392i | ||||
\(630\) | −44.6620 | + | 5.12448i | −1.77938 | + | 0.204164i | ||||
\(631\) | 13.8364 | + | 11.3139i | 0.550817 | + | 0.450401i | 0.867008 | − | 0.498295i | \(-0.166040\pi\) |
−0.316191 | + | 0.948696i | \(0.602404\pi\) | |||||||
\(632\) | 4.99372 | − | 3.62815i | 0.198639 | − | 0.144320i | ||||
\(633\) | −5.78576 | − | 5.95340i | −0.229963 | − | 0.236627i | ||||
\(634\) | 1.15697 | + | 0.132749i | 0.0459490 | + | 0.00527215i | ||||
\(635\) | −18.5348 | − | 3.20757i | −0.735529 | − | 0.127288i | ||||
\(636\) | 10.3481 | − | 19.6119i | 0.410329 | − | 0.777661i | ||||
\(637\) | 3.95702 | + | 8.66466i | 0.156783 | + | 0.343306i | ||||
\(638\) | 4.19089 | + | 3.28579i | 0.165919 | + | 0.130086i | ||||
\(639\) | −39.9970 | + | 87.5813i | −1.58226 | + | 3.46466i | ||||
\(640\) | 0.677627 | + | 0.878763i | 0.0267856 | + | 0.0347361i | ||||
\(641\) | −8.51667 | − | 4.18737i | −0.336388 | − | 0.165391i | 0.265208 | − | 0.964191i | \(-0.414559\pi\) |
−0.601596 | + | 0.798800i | \(0.705468\pi\) | |||||||
\(642\) | 10.5096 | − | 5.16721i | 0.414780 | − | 0.203933i | ||||
\(643\) | −23.7382 | + | 30.7842i | −0.936142 | + | 1.21401i | 0.0405098 | + | 0.999179i | \(0.487102\pi\) |
−0.976651 | + | 0.214831i | \(0.931080\pi\) | |||||||
\(644\) | 11.8036 | + | 22.3704i | 0.465129 | + | 0.881517i | ||||
\(645\) | 5.01875 | + | 15.4461i | 0.197613 | + | 0.608190i | ||||
\(646\) | −8.42580 | + | 3.56077i | −0.331509 | + | 0.140097i | ||||
\(647\) | 6.51616 | + | 16.7366i | 0.256177 | + | 0.657984i | 0.999945 | − | 0.0104527i | \(-0.00332727\pi\) |
−0.743769 | + | 0.668437i | \(0.766964\pi\) | |||||||
\(648\) | 30.6320 | − | 19.6860i | 1.20334 | − | 0.773339i | ||||
\(649\) | 19.5323 | − | 11.5651i | 0.766711 | − | 0.453969i | ||||
\(650\) | −1.85973 | − | 1.19518i | −0.0729447 | − | 0.0468787i | ||||
\(651\) | 18.5701 | − | 91.6470i | 0.727820 | − | 3.59193i | ||||
\(652\) | −0.711878 | − | 1.18052i | −0.0278793 | − | 0.0462326i | ||||
\(653\) | 0.618154 | + | 21.6382i | 0.0241902 | + | 0.846769i | 0.917595 | + | 0.397516i | \(0.130128\pi\) |
−0.893405 | + | 0.449252i | \(0.851690\pi\) | |||||||
\(654\) | −13.5459 | + | 34.7924i | −0.529688 | + | 1.36049i | ||||
\(655\) | −0.594792 | − | 2.93541i | −0.0232404 | − | 0.114696i | ||||
\(656\) | −0.667414 | + | 0.612547i | −0.0260581 | + | 0.0239159i | ||||
\(657\) | −22.8822 | + | 33.4642i | −0.892720 | + | 1.30556i | ||||
\(658\) | −16.9787 | − | 6.05799i | −0.661899 | − | 0.236165i | ||||
\(659\) | −9.27612 | − | 10.7052i | −0.361346 | − | 0.417016i | 0.545744 | − | 0.837952i | \(-0.316247\pi\) |
−0.907090 | + | 0.420936i | \(0.861702\pi\) | |||||||
\(660\) | 9.32707 | + | 8.21432i | 0.363056 | + | 0.319742i | ||||
\(661\) | 13.7054 | − | 15.8169i | 0.533078 | − | 0.615205i | −0.423778 | − | 0.905766i | \(-0.639296\pi\) |
0.956856 | + | 0.290561i | \(0.0938419\pi\) | |||||||
\(662\) | 20.5620 | − | 11.6119i | 0.799166 | − | 0.451310i | ||||
\(663\) | −0.179319 | + | 6.27698i | −0.00696416 | + | 0.243778i | ||||
\(664\) | −13.7195 | − | 5.79791i | −0.532420 | − | 0.225003i | ||||
\(665\) | 1.32094 | − | 15.3794i | 0.0512239 | − | 0.596389i | ||||
\(666\) | 3.17321 | − | 36.9450i | 0.122959 | − | 1.43159i | ||||
\(667\) | −7.76033 | − | 3.27954i | −0.300481 | − | 0.126984i | ||||
\(668\) | 0.360433 | − | 12.6168i | 0.0139456 | − | 0.488159i | ||||
\(669\) | 17.6384 | − | 9.96087i | 0.681940 | − | 0.385109i | ||||
\(670\) | 4.14167 | − | 4.77974i | 0.160007 | − | 0.184657i | ||||
\(671\) | 5.28207 | + | 4.65190i | 0.203912 | + | 0.179585i | ||||
\(672\) | −10.6605 | − | 12.3028i | −0.411237 | − | 0.474592i | ||||
\(673\) | −41.0371 | − | 14.6420i | −1.58187 | − | 0.564408i | −0.608477 | − | 0.793572i | \(-0.708219\pi\) |
−0.973388 | + | 0.229163i | \(0.926401\pi\) | |||||||
\(674\) | 19.0128 | − | 27.8054i | 0.732348 | − | 1.07102i | ||||
\(675\) | −50.6661 | + | 46.5010i | −1.95014 | + | 1.78982i | ||||
\(676\) | −2.51334 | − | 12.4038i | −0.0966669 | − | 0.477070i | ||||
\(677\) | 10.5653 | − | 27.1368i | 0.406058 | − | 1.04295i | −0.569262 | − | 0.822156i | \(-0.692771\pi\) |
0.975320 | − | 0.220795i | \(-0.0708653\pi\) | |||||||
\(678\) | −0.691761 | − | 24.2148i | −0.0265669 | − | 0.929964i | ||||
\(679\) | −17.3925 | − | 28.8422i | −0.667463 | − | 1.10686i | ||||
\(680\) | −0.698582 | + | 3.44764i | −0.0267894 | + | 0.132211i | ||||
\(681\) | 85.3690 | + | 54.8633i | 3.27135 | + | 2.10237i | ||||
\(682\) | −16.3932 | + | 9.70641i | −0.627729 | + | 0.371678i | ||||
\(683\) | −26.9905 | + | 17.3458i | −1.03276 | + | 0.663717i | −0.943187 | − | 0.332263i | \(-0.892188\pi\) |
−0.0895767 | + | 0.995980i | \(0.528551\pi\) | |||||||
\(684\) | 8.79803 | + | 22.5976i | 0.336401 | + | 0.864040i | ||||
\(685\) | 3.46440 | − | 1.46407i | 0.132368 | − | 0.0559392i | ||||
\(686\) | −13.7620 | − | 42.3549i | −0.525434 | − | 1.61712i | ||||
\(687\) | 41.5472 | + | 78.7408i | 1.58513 | + | 3.00415i | ||||
\(688\) | −2.64654 | + | 3.43210i | −0.100899 | + | 0.130848i | ||||
\(689\) | 3.45667 | − | 1.69953i | 0.131689 | − | 0.0647470i | ||||
\(690\) | −17.6448 | − | 8.67534i | −0.671724 | − | 0.330265i | ||||
\(691\) | −3.59046 | − | 4.65619i | −0.136588 | − | 0.177130i | 0.718640 | − | 0.695382i | \(-0.244765\pi\) |
−0.855228 | + | 0.518252i | \(0.826583\pi\) | |||||||
\(692\) | 5.84792 | − | 12.8052i | 0.222305 | − | 0.486779i | ||||
\(693\) | −105.737 | − | 82.9012i | −4.01662 | − | 3.14916i | ||||
\(694\) | −5.23713 | − | 11.4677i | −0.198799 | − | 0.435308i | ||||
\(695\) | −5.95302 | + | 11.2822i | −0.225811 | + | 0.427959i | ||||
\(696\) | 5.34286 | + | 0.924618i | 0.202520 | + | 0.0350475i | ||||
\(697\) | −2.85298 | − | 0.327349i | −0.108064 | − | 0.0123992i | ||||
\(698\) | −4.23914 | − | 4.36197i | −0.160454 | − | 0.165103i | ||||
\(699\) | 60.3938 | − | 43.8786i | 2.28430 | − | 1.65964i | ||||
\(700\) | 14.0638 | + | 11.4999i | 0.531562 | + | 0.434656i | ||||
\(701\) | 21.9995 | − | 2.52420i | 0.830908 | − | 0.0953378i | 0.311908 | − | 0.950112i | \(-0.399032\pi\) |
0.519000 | + | 0.854774i | \(0.326305\pi\) | |||||||
\(702\) | 10.6871 | + | 0.611108i | 0.403357 | + | 0.0230648i | ||||
\(703\) | 12.2167 | + | 3.58714i | 0.460760 | + | 0.135291i | ||||
\(704\) | −0.404576 | + | 3.29186i | −0.0152480 | + | 0.124067i | ||||
\(705\) | 13.4459 | − | 3.94807i | 0.506401 | − | 0.148693i | ||||
\(706\) | 29.9169 | − | 6.95687i | 1.12594 | − | 0.261825i | ||||
\(707\) | −9.70086 | − | 8.90337i | −0.364838 | − | 0.334846i | ||||
\(708\) | 11.9351 | − | 19.7922i | 0.448549 | − | 0.743836i | ||||
\(709\) | 13.1814 | + | 7.44387i | 0.495038 | + | 0.279561i | 0.718966 | − | 0.695045i | \(-0.244616\pi\) |
−0.223929 | + | 0.974606i | \(0.571888\pi\) | |||||||
\(710\) | −11.9743 | + | 4.27241i | −0.449387 | + | 0.160341i | ||||
\(711\) | 13.1871 | − | 50.1688i | 0.494554 | − | 1.88148i | ||||
\(712\) | −9.31540 | + | 7.61716i | −0.349109 | + | 0.285465i | ||||
\(713\) | 21.0053 | − | 21.6139i | 0.786653 | − | 0.809447i | ||||
\(714\) | 7.34407 | − | 51.0791i | 0.274845 | − | 1.91159i | ||||
\(715\) | 0.472051 | + | 2.10670i | 0.0176537 | + | 0.0787860i | ||||
\(716\) | 0.832377 | + | 5.78931i | 0.0311074 | + | 0.216357i | ||||
\(717\) | −54.8594 | − | 39.8577i | −2.04876 | − | 1.48851i | ||||
\(718\) | 0.463094 | + | 1.76179i | 0.0172825 | + | 0.0657495i | ||||
\(719\) | −29.8375 | − | 43.6360i | −1.11275 | − | 1.62735i | −0.695440 | − | 0.718584i | \(-0.744791\pi\) |
−0.417311 | − | 0.908764i | \(-0.637027\pi\) | |||||||
\(720\) | 9.08321 | + | 2.11221i | 0.338511 | + | 0.0787174i | ||||
\(721\) | 6.13782 | − | 0.350973i | 0.228584 | − | 0.0130709i | ||||
\(722\) | 10.5171 | − | 1.82005i | 0.391405 | − | 0.0677353i | ||||
\(723\) | −0.555119 | + | 1.70848i | −0.0206451 | + | 0.0635391i | ||||
\(724\) | −0.639653 | − | 7.44734i | −0.0237725 | − | 0.276778i | ||||
\(725\) | −6.05113 | −0.224733 | ||||||||
\(726\) | 2.58263 | + | 37.0566i | 0.0958504 | + | 1.37530i | ||||
\(727\) | 42.2212 | 1.56590 | 0.782949 | − | 0.622086i | \(-0.213714\pi\) | ||||
0.782949 | + | 0.622086i | \(0.213714\pi\) | |||||||
\(728\) | −0.241988 | − | 2.81741i | −0.00896866 | − | 0.104420i | ||||
\(729\) | 37.4314 | − | 115.202i | 1.38635 | − | 4.26674i | ||||
\(730\) | −5.27466 | + | 0.912816i | −0.195224 | + | 0.0337848i | ||||
\(731\) | −13.7164 | + | 0.784330i | −0.507318 | + | 0.0290095i | ||||
\(732\) | 6.98027 | + | 1.62319i | 0.257998 | + | 0.0599949i | ||||
\(733\) | −8.82376 | − | 12.9043i | −0.325913 | − | 0.476632i | 0.627366 | − | 0.778725i | \(-0.284133\pi\) |
−0.953279 | + | 0.302092i | \(0.902315\pi\) | |||||||
\(734\) | 4.05439 | + | 15.4245i | 0.149650 | + | 0.569329i | ||||
\(735\) | 49.2294 | + | 35.7672i | 1.81585 | + | 1.31929i | ||||
\(736\) | −0.746717 | − | 5.19353i | −0.0275244 | − | 0.191436i | ||||
\(737\) | 18.8457 | − | 1.46595i | 0.694191 | − | 0.0539991i | ||||
\(738\) | −1.08344 | + | 7.53550i | −0.0398820 | + | 0.277386i | ||||
\(739\) | 8.45408 | − | 8.69904i | 0.310988 | − | 0.320000i | −0.543561 | − | 0.839370i | \(-0.682924\pi\) |
0.854549 | + | 0.519370i | \(0.173833\pi\) | |||||||
\(740\) | 3.79051 | − | 3.09948i | 0.139342 | − | 0.113939i | ||||
\(741\) | −1.45315 | + | 5.52834i | −0.0533826 | + | 0.203089i | ||||
\(742\) | −29.8134 | + | 10.6374i | −1.09448 | + | 0.390511i | ||||
\(743\) | 27.7014 | + | 15.6437i | 1.01626 | + | 0.573911i | 0.907454 | − | 0.420151i | \(-0.138023\pi\) |
0.108811 | + | 0.994062i | \(0.465296\pi\) | |||||||
\(744\) | −10.0170 | + | 16.6113i | −0.367241 | + | 0.609000i | ||||
\(745\) | 10.2058 | + | 9.36683i | 0.373913 | + | 0.343174i | ||||
\(746\) | 19.2495 | − | 4.47629i | 0.704776 | − | 0.163889i | ||||
\(747\) | −120.099 | + | 35.2641i | −4.39417 | + | 1.29025i | ||||
\(748\) | −8.72625 | + | 5.86434i | −0.319063 | + | 0.214422i | ||||
\(749\) | −16.0406 | − | 4.70993i | −0.586109 | − | 0.172097i | ||||
\(750\) | −32.8054 | − | 1.87588i | −1.19789 | − | 0.0684976i | ||||
\(751\) | 9.29215 | − | 1.06617i | 0.339075 | − | 0.0389053i | 0.0572183 | − | 0.998362i | \(-0.481777\pi\) |
0.281857 | + | 0.959456i | \(0.409050\pi\) | |||||||
\(752\) | 2.89496 | + | 2.36720i | 0.105568 | + | 0.0863229i | ||||
\(753\) | −0.934897 | + | 0.679242i | −0.0340695 | + | 0.0247530i | ||||
\(754\) | 0.656439 | + | 0.675459i | 0.0239061 | + | 0.0245988i | ||||
\(755\) | −20.8853 | − | 2.39636i | −0.760093 | − | 0.0872125i | ||||
\(756\) | −86.6799 | − | 15.0005i | −3.15252 | − | 0.545564i | ||||
\(757\) | −13.8959 | + | 26.3356i | −0.505053 | + | 0.957183i | 0.491229 | + | 0.871031i | \(0.336548\pi\) |
−0.996282 | + | 0.0861520i | \(0.972543\pi\) | |||||||
\(758\) | −2.73452 | − | 5.98775i | −0.0993221 | − | 0.217485i | ||||
\(759\) | −19.3022 | − | 55.5057i | −0.700624 | − | 2.01473i | ||||
\(760\) | −1.33020 | + | 2.91273i | −0.0482513 | + | 0.105656i | ||||
\(761\) | 16.1036 | + | 20.8835i | 0.583754 | + | 0.757026i | 0.987461 | − | 0.157862i | \(-0.0504603\pi\) |
−0.403707 | + | 0.914888i | \(0.632278\pi\) | |||||||
\(762\) | −51.3694 | − | 25.2566i | −1.86092 | − | 0.914952i | ||||
\(763\) | 47.8295 | − | 23.5162i | 1.73154 | − | 0.851343i | ||||
\(764\) | 3.27876 | − | 4.25197i | 0.118621 | − | 0.153831i | ||||
\(765\) | 13.7956 | + | 26.1457i | 0.498783 | + | 0.945298i | ||||
\(766\) | 8.25356 | + | 25.4019i | 0.298213 | + | 0.917806i | ||||
\(767\) | 3.69811 | − | 1.56283i | 0.133531 | − | 0.0564307i | ||||
\(768\) | 1.22518 | + | 3.14686i | 0.0442100 | + | 0.113552i | ||||
\(769\) | 4.28664 | − | 2.75486i | 0.154580 | − | 0.0993426i | −0.461064 | − | 0.887367i | \(-0.652532\pi\) |
0.615644 | + | 0.788024i | \(0.288896\pi\) | |||||||
\(770\) | −1.88048 | − | 17.6419i | −0.0677679 | − | 0.635771i | ||||
\(771\) | 9.10968 | + | 5.85443i | 0.328077 | + | 0.210842i | ||||
\(772\) | 1.64963 | − | 8.14123i | 0.0593713 | − | 0.293009i | ||||
\(773\) | 1.06889 | + | 1.77256i | 0.0384453 | + | 0.0637544i | 0.874978 | − | 0.484162i | \(-0.160876\pi\) |
−0.836533 | + | 0.547917i | \(0.815421\pi\) | |||||||
\(774\) | 1.04007 | + | 36.4071i | 0.0373845 | + | 1.30863i | ||||
\(775\) | 7.85389 | − | 20.1725i | 0.282120 | − | 0.724619i | ||||
\(776\) | 1.38750 | + | 6.84760i | 0.0498084 | + | 0.245814i | ||||
\(777\) | −52.9199 | + | 48.5695i | −1.89849 | + | 1.74242i | ||||
\(778\) | −0.591872 | + | 0.865586i | −0.0212197 | + | 0.0310328i | ||||
\(779\) | −2.46203 | − | 0.878450i | −0.0882113 | − | 0.0314737i | ||||
\(780\) | 1.43952 | + | 1.66129i | 0.0515430 | + | 0.0594838i | ||||
\(781\) | −34.4365 | − | 16.0629i | −1.23223 | − | 0.574774i | ||||
\(782\) | 10.8922 | − | 12.5702i | 0.389503 | − | 0.449510i | ||||
\(783\) | 25.5136 | − | 14.4082i | 0.911781 | − | 0.514906i | ||||
\(784\) | −0.463703 | + | 16.2317i | −0.0165608 | + | 0.579705i | ||||
\(785\) | −20.9186 | − | 8.84027i | −0.746616 | − | 0.315523i | ||||
\(786\) | 0.779970 | − | 9.08103i | 0.0278206 | − | 0.323910i | ||||
\(787\) | −0.171999 | + | 2.00254i | −0.00613109 | + | 0.0713830i | −0.998758 | − | 0.0498286i | \(-0.984132\pi\) |
0.992627 | + | 0.121212i | \(0.0386779\pi\) | |||||||
\(788\) | −8.39266 | − | 3.54677i | −0.298976 | − | 0.126348i | ||||
\(789\) | −1.33680 | + | 46.7941i | −0.0475913 | + | 1.66591i | ||||
\(790\) | 5.96428 | − | 3.36818i | 0.212200 | − | 0.119835i | ||||
\(791\) | −22.6457 | + | 26.1345i | −0.805187 | + | 0.929235i | ||||
\(792\) | 14.8796 | + | 23.5681i | 0.528725 | + | 0.837457i | ||||
\(793\) | 0.815222 | + | 0.940817i | 0.0289494 | + | 0.0334094i | ||||
\(794\) | 16.8317 | + | 6.00555i | 0.597336 | + | 0.213129i | ||||
\(795\) | 13.8891 | − | 20.3122i | 0.492596 | − | 0.720398i | ||||
\(796\) | −10.7098 | + | 9.82933i | −0.379598 | + | 0.348392i | ||||
\(797\) | 2.18874 | + | 10.8019i | 0.0775292 | + | 0.382622i | 0.999994 | − | 0.00345952i | \(-0.00110120\pi\) |
−0.922465 | + | 0.386081i | \(0.873828\pi\) | |||||||
\(798\) | 17.0427 | − | 43.7738i | 0.603304 | − | 1.54957i | ||||
\(799\) | 0.338517 | + | 11.8496i | 0.0119759 | + | 0.419210i | ||||
\(800\) | −1.94609 | − | 3.22724i | −0.0688048 | − | 0.114100i | ||||
\(801\) | −20.0824 | + | 99.1103i | −0.709575 | + | 3.50189i | ||||
\(802\) | 15.5787 | + | 10.0118i | 0.550104 | + | 0.353531i | ||||
\(803\) | −13.1338 | − | 9.13666i | −0.463481 | − | 0.322426i | ||||
\(804\) | 16.1912 | − | 10.4054i | 0.571018 | − | 0.366971i | ||||
\(805\) | 10.1832 | + | 26.1554i | 0.358911 | + | 0.921856i | ||||
\(806\) | −3.10377 | + | 1.31167i | −0.109326 | + | 0.0462014i | ||||
\(807\) | 1.22171 | + | 3.76005i | 0.0430063 | + | 0.132360i | ||||
\(808\) | 1.27468 | + | 2.41578i | 0.0448430 | + | 0.0849869i | ||||
\(809\) | 5.70045 | − | 7.39247i | 0.200417 | − | 0.259905i | −0.680958 | − | 0.732322i | \(-0.738436\pi\) |
0.881375 | + | 0.472417i | \(0.156618\pi\) | |||||||
\(810\) | 36.2605 | − | 17.8281i | 1.27406 | − | 0.626415i | ||||
\(811\) | 10.6202 | + | 5.22160i | 0.372925 | + | 0.183355i | 0.618054 | − | 0.786135i | \(-0.287921\pi\) |
−0.245129 | + | 0.969491i | \(0.578830\pi\) | |||||||
\(812\) | −4.72662 | − | 6.12958i | −0.165872 | − | 0.215106i | ||||
\(813\) | 15.2615 | − | 33.4181i | 0.535245 | − | 1.17202i | ||||
\(814\) | 14.5701 | + | 1.36965i | 0.510682 | + | 0.0480063i | ||||
\(815\) | −0.635483 | − | 1.39151i | −0.0222600 | − | 0.0487426i | ||||
\(816\) | −4.99564 | + | 9.46780i | −0.174882 | + | 0.331439i | ||||
\(817\) | −12.3229 | − | 2.13257i | −0.431125 | − | 0.0746091i | ||||
\(818\) | −15.1610 | − | 1.73956i | −0.530092 | − | 0.0608224i | ||||
\(819\) | −16.5621 | − | 17.0420i | −0.578727 | − | 0.595496i | ||||
\(820\) | −0.813276 | + | 0.590879i | −0.0284008 | + | 0.0206344i | ||||
\(821\) | 27.3176 | + | 22.3375i | 0.953392 | + | 0.779585i | 0.975461 | − | 0.220171i | \(-0.0706617\pi\) |
−0.0220688 | + | 0.999756i | \(0.507025\pi\) | |||||||
\(822\) | 11.3709 | − | 1.30469i | 0.396606 | − | 0.0455063i | ||||
\(823\) | −37.0485 | − | 2.11851i | −1.29143 | − | 0.0738466i | −0.602174 | − | 0.798365i | \(-0.705699\pi\) |
−0.689256 | + | 0.724518i | \(0.742062\pi\) | |||||||
\(824\) | −1.22366 | − | 0.359300i | −0.0426284 | − | 0.0125168i | ||||
\(825\) | −28.2892 | − | 31.3255i | −0.984902 | − | 1.09061i | ||||
\(826\) | −31.6565 | + | 9.29518i | −1.10147 | + | 0.323421i | ||||
\(827\) | 5.12113 | − | 1.19087i | 0.178079 | − | 0.0414105i | −0.136509 | − | 0.990639i | \(-0.543588\pi\) |
0.314588 | + | 0.949228i | \(0.398134\pi\) | |||||||
\(828\) | −32.4860 | − | 29.8154i | −1.12897 | − | 1.03616i | ||||
\(829\) | −28.1246 | + | 46.6393i | −0.976806 | + | 1.61985i | −0.210277 | + | 0.977642i | \(0.567436\pi\) |
−0.766529 | + | 0.642209i | \(0.778018\pi\) | |||||||
\(830\) | −14.3917 | − | 8.12737i | −0.499543 | − | 0.282105i | ||||
\(831\) | 55.6047 | − | 19.8397i | 1.92890 | − | 0.688232i | ||||
\(832\) | −0.149125 | + | 0.567330i | −0.00516998 | + | 0.0196686i | ||||
\(833\) | −39.8494 | + | 32.5847i | −1.38070 | + | 1.12899i | ||||
\(834\) | −27.0550 | + | 27.8390i | −0.936840 | + | 0.963985i | ||||
\(835\) | 1.99332 | − | 13.8638i | 0.0689816 | − | 0.479778i | ||||
\(836\) | −8.94597 | + | 3.40032i | −0.309403 | + | 0.117603i | ||||
\(837\) | 14.9177 | + | 103.755i | 0.515631 | + | 3.58629i | ||||
\(838\) | −1.71090 | − | 1.24304i | −0.0591020 | − | 0.0429401i | ||||
\(839\) | −8.60744 | − | 32.7461i | −0.297162 | − | 1.13052i | −0.933344 | − | 0.358982i | \(-0.883124\pi\) |
0.636183 | − | 0.771539i | \(-0.280512\pi\) | |||||||
\(840\) | −10.1964 | − | 14.9118i | −0.351810 | − | 0.514505i | ||||
\(841\) | −25.7352 | − | 5.98446i | −0.887420 | − | 0.206361i | ||||
\(842\) | −5.17679 | + | 0.296020i | −0.178404 | + | 0.0102015i | ||||
\(843\) | 17.3983 | − | 3.01089i | 0.599229 | − | 0.103701i | ||||
\(844\) | 0.759668 | − | 2.33802i | 0.0261489 | − | 0.0804779i | ||||
\(845\) | −1.20182 | − | 13.9926i | −0.0413439 | − | 0.481358i | ||||
\(846\) | 31.4266 | 1.08047 | ||||||||
\(847\) | 33.0525 | − | 41.4654i | 1.13570 | − | 1.42477i | ||||
\(848\) | 6.56643 | 0.225492 | ||||||||
\(849\) | 1.99542 | + | 23.2323i | 0.0684827 | + | 0.797330i | ||||
\(850\) | 3.69166 | − | 11.3618i | 0.126623 | − | 0.389705i | ||||
\(851\) | −22.8126 | + | 3.94788i | −0.782006 | + | 0.135331i | ||||
\(852\) | −38.6266 | + | 2.20875i | −1.32332 | + | 0.0756704i | ||||
\(853\) | 51.6876 | + | 12.0194i | 1.76975 | + | 0.411538i | 0.979532 | − | 0.201288i | \(-0.0645129\pi\) |
0.790218 | + | 0.612826i | \(0.209967\pi\) | |||||||
\(854\) | −5.77440 | − | 8.44478i | −0.197596 | − | 0.288975i | ||||
\(855\) | 6.84094 | + | 26.0256i | 0.233955 | + | 0.890058i | ||||
\(856\) | 2.80564 | + | 2.03842i | 0.0958949 | + | 0.0696717i | ||||
\(857\) | −1.04961 | − | 7.30019i | −0.0358540 | − | 0.249370i | 0.964010 | − | 0.265866i | \(-0.0856579\pi\) |
−0.999864 | + | 0.0164963i | \(0.994749\pi\) | |||||||
\(858\) | −0.427856 | + | 6.55604i | −0.0146068 | + | 0.223820i | ||||
\(859\) | 2.22089 | − | 15.4466i | 0.0757758 | − | 0.527032i | −0.916211 | − | 0.400695i | \(-0.868769\pi\) |
0.991987 | − | 0.126337i | \(-0.0403222\pi\) | |||||||
\(860\) | −3.35183 | + | 3.44895i | −0.114296 | + | 0.117608i | ||||
\(861\) | 11.4164 | − | 9.33512i | 0.389069 | − | 0.318140i | ||||
\(862\) | −0.619887 | + | 2.35829i | −0.0211134 | + | 0.0803238i | ||||
\(863\) | −9.30848 | + | 3.32126i | −0.316864 | + | 0.113057i | −0.489693 | − | 0.871895i | \(-0.662891\pi\) |
0.172829 | + | 0.984952i | \(0.444709\pi\) | |||||||
\(864\) | 15.8897 | + | 8.97331i | 0.540577 | + | 0.305278i | ||||
\(865\) | 8.06684 | − | 13.3773i | 0.274281 | − | 0.454843i | ||||
\(866\) | 21.2385 | + | 19.4926i | 0.721715 | + | 0.662384i | ||||
\(867\) | 22.8635 | − | 5.31667i | 0.776484 | − | 0.180564i | ||||
\(868\) | 26.5689 | − | 7.80132i | 0.901806 | − | 0.264794i | ||||
\(869\) | 19.7570 | + | 5.36358i | 0.670211 | + | 0.181947i | ||||
\(870\) | 5.77329 | + | 1.69519i | 0.195733 | + | 0.0574723i | ||||
\(871\) | 3.33781 | + | 0.190863i | 0.113097 | + | 0.00646714i | ||||
\(872\) | −10.9842 | + | 1.26032i | −0.371971 | + | 0.0426797i | ||||
\(873\) | 45.4539 | + | 37.1675i | 1.53838 | + | 1.25793i | ||||
\(874\) | 12.2489 | − | 8.89935i | 0.414325 | − | 0.301025i | ||||
\(875\) | 32.6909 | + | 33.6381i | 1.10515 | + | 1.13718i | ||||
\(876\) | −16.1840 | − | 1.85695i | −0.546808 | − | 0.0627404i | ||||
\(877\) | −9.22154 | − | 1.59585i | −0.311389 | − | 0.0538880i | 0.0126854 | − | 0.999920i | \(-0.495962\pi\) |
−0.324075 | + | 0.946031i | \(0.605053\pi\) | |||||||
\(878\) | 11.3692 | − | 21.5471i | 0.383693 | − | 0.727179i | ||||
\(879\) | −2.29150 | − | 5.01768i | −0.0772902 | − | 0.169242i | ||||
\(880\) | −0.862428 | + | 3.57794i | −0.0290724 | + | 0.120612i | ||||
\(881\) | −7.14121 | + | 15.6371i | −0.240594 | + | 0.526826i | −0.990954 | − | 0.134203i | \(-0.957153\pi\) |
0.750360 | + | 0.661029i | \(0.229880\pi\) | |||||||
\(882\) | 83.3313 | + | 108.066i | 2.80591 | + | 3.63877i | ||||
\(883\) | 49.2514 | + | 24.2153i | 1.65744 | + | 0.814909i | 0.998004 | + | 0.0631506i | \(0.0201149\pi\) |
0.659438 | + | 0.751759i | \(0.270794\pi\) | |||||||
\(884\) | −1.66874 | + | 0.820463i | −0.0561257 | + | 0.0275952i | ||||
\(885\) | 15.6615 | − | 20.3102i | 0.526456 | − | 0.682720i | ||||
\(886\) | −18.5843 | − | 35.2212i | −0.624352 | − | 1.18328i | ||||
\(887\) | −11.5122 | − | 35.4310i | −0.386543 | − | 1.18966i | −0.935355 | − | 0.353711i | \(-0.884920\pi\) |
0.548812 | − | 0.835946i | \(-0.315080\pi\) | |||||||
\(888\) | 13.7252 | − | 5.80033i | 0.460588 | − | 0.194646i | ||||
\(889\) | 29.6465 | + | 76.1465i | 0.994313 | + | 2.55387i | ||||
\(890\) | −11.2333 | + | 7.21921i | −0.376541 | + | 0.241989i | ||||
\(891\) | 114.551 | + | 38.2420i | 3.83761 | + | 1.28116i | ||||
\(892\) | 5.04627 | + | 3.24304i | 0.168961 | + | 0.108585i | ||||
\(893\) | −2.14296 | + | 10.5759i | −0.0717116 | + | 0.353911i | ||||
\(894\) | 21.7692 | + | 36.1002i | 0.728071 | + | 1.20737i | ||||
\(895\) | 0.185339 | + | 6.48773i | 0.00619521 | + | 0.216861i | ||||
\(896\) | 1.74896 | − | 4.49216i | 0.0584286 | − | 0.150073i | ||||
\(897\) | −2.06411 | − | 10.1868i | −0.0689186 | − | 0.340127i | ||||
\(898\) | 20.5763 | − | 18.8847i | 0.686639 | − | 0.630192i | ||||
\(899\) | −5.20601 | + | 7.61355i | −0.173630 | + | 0.253926i | ||||
\(900\) | −29.8287 | − | 10.6429i | −0.994290 | − | 0.354762i | ||||
\(901\) | 13.6313 | + | 15.7314i | 0.454125 | + | 0.524088i | ||||
\(902\) | −2.97041 | − | 0.451512i | −0.0989038 | − | 0.0150337i | ||||
\(903\) | 46.2024 | − | 53.3204i | 1.53752 | − | 1.77439i | ||||
\(904\) | 6.24633 | − | 3.52746i | 0.207750 | − | 0.117322i | ||||
\(905\) | 0.236862 | − | 8.29125i | 0.00787356 | − | 0.275611i | ||||
\(906\) | −58.9281 | − | 24.9032i | −1.95776 | − | 0.827355i | ||||
\(907\) | 4.13808 | − | 48.1788i | 0.137403 | − | 1.59975i | −0.525332 | − | 0.850897i | \(-0.676059\pi\) |
0.662735 | − | 0.748854i | \(-0.269396\pi\) | |||||||
\(908\) | −2.57155 | + | 29.9401i | −0.0853400 | + | 0.993596i | ||||
\(909\) | 21.1439 | + | 8.93550i | 0.701300 | + | 0.296372i | ||||
\(910\) | 0.0896075 | − | 3.13667i | 0.00297046 | − | 0.103980i | ||||
\(911\) | −19.3003 | + | 10.8994i | −0.639447 | + | 0.361113i | −0.777108 | − | 0.629367i | \(-0.783314\pi\) |
0.137661 | + | 0.990479i | \(0.456042\pi\) | |||||||
\(912\) | −6.38128 | + | 7.36438i | −0.211305 | + | 0.243859i | ||||
\(913\) | −13.5353 | − | 47.5083i | −0.447953 | − | 1.57230i | ||||
\(914\) | 19.4474 | + | 22.4435i | 0.643262 | + | 0.742364i | ||||
\(915\) | 7.49009 | + | 2.67246i | 0.247615 | + | 0.0883488i | ||||
\(916\) | −14.8809 | + | 21.7627i | −0.491680 | + | 0.719059i | ||||
\(917\) | −9.58571 | + | 8.79768i | −0.316548 | + | 0.290525i | ||||
\(918\) | 11.4879 | + | 56.6951i | 0.379157 | + | 1.87122i | ||||
\(919\) | −13.0925 | + | 33.6279i | −0.431883 | + | 1.10928i | 0.532887 | + | 0.846187i | \(0.321107\pi\) |
−0.964770 | + | 0.263096i | \(0.915256\pi\) | |||||||
\(920\) | −0.166266 | − | 5.82008i | −0.00548163 | − | 0.191882i | ||||
\(921\) | −20.8162 | − | 34.5198i | −0.685918 | − | 1.13747i | ||||
\(922\) | 7.95261 | − | 39.2477i | 0.261905 | − | 1.29255i | ||||
\(923\) | −5.65381 | − | 3.63348i | −0.186097 | − | 0.119597i | ||||
\(924\) | 9.63462 | − | 53.1247i | 0.316956 | − | 1.74767i | ||||
\(925\) | −13.9889 | + | 8.99012i | −0.459952 | + | 0.295593i | ||||
\(926\) | 9.55861 | + | 24.5511i | 0.314115 | + | 0.806799i | ||||
\(927\) | −9.87219 | + | 4.17202i | −0.324245 | + | 0.137027i | ||||
\(928\) | 0.496180 | + | 1.52708i | 0.0162879 | + | 0.0501290i | ||||
\(929\) | −17.7370 | − | 33.6154i | −0.581933 | − | 1.10289i | −0.982438 | − | 0.186591i | \(-0.940256\pi\) |
0.400505 | − | 0.916295i | \(-0.368835\pi\) | |||||||
\(930\) | −13.1445 | + | 17.0461i | −0.431025 | + | 0.558963i | ||||
\(931\) | −42.0496 | + | 20.6744i | −1.37812 | + | 0.677575i | ||||
\(932\) | 19.8379 | + | 9.75363i | 0.649811 | + | 0.319491i | ||||
\(933\) | −21.3648 | − | 27.7063i | −0.699451 | − | 0.907064i | ||||
\(934\) | 3.34538 | − | 7.32535i | 0.109464 | − | 0.239693i | ||||
\(935\) | −10.3621 | + | 5.36133i | −0.338876 | + | 0.175334i | ||||
\(936\) | 2.04786 | + | 4.48420i | 0.0669365 | + | 0.146571i | ||||
\(937\) | 23.1133 | − | 43.8045i | 0.755078 | − | 1.43103i | −0.142325 | − | 0.989820i | \(-0.545458\pi\) |
0.897403 | − | 0.441212i | \(-0.145451\pi\) | |||||||
\(938\) | −27.0721 | − | 4.68501i | −0.883934 | − | 0.152971i | ||||
\(939\) | −104.030 | − | 11.9364i | −3.39490 | − | 0.389529i | ||||
\(940\) | 2.89212 | + | 2.97592i | 0.0943306 | + | 0.0970639i | ||||
\(941\) | −35.7710 | + | 25.9892i | −1.16610 | + | 0.847222i | −0.990537 | − | 0.137246i | \(-0.956175\pi\) |
−0.175564 | + | 0.984468i | \(0.556175\pi\) | |||||||
\(942\) | −53.5007 | − | 43.7473i | −1.74315 | − | 1.42536i | ||||
\(943\) | 4.72222 | − | 0.541824i | 0.153776 | − | 0.0176442i | ||||
\(944\) | 6.83297 | + | 0.390723i | 0.222394 | + | 0.0127170i | ||||
\(945\) | −93.6629 | − | 27.5019i | −3.04686 | − | 0.894637i | ||||
\(946\) | −14.3712 | + | 0.294808i | −0.467248 | + | 0.00958503i | ||||
\(947\) | 11.3271 | − | 3.32595i | 0.368083 | − | 0.108079i | −0.0924599 | − | 0.995716i | \(-0.529473\pi\) |
0.460543 | + | 0.887638i | \(0.347655\pi\) | |||||||
\(948\) | 20.3028 | − | 4.72121i | 0.659403 | − | 0.153338i | ||||
\(949\) | −2.08478 | − | 1.91340i | −0.0676749 | − | 0.0621115i | ||||
\(950\) | 5.61562 | − | 9.31246i | 0.182195 | − | 0.302136i | ||||
\(951\) | 3.42434 | + | 1.93381i | 0.111042 | + | 0.0627082i | ||||
\(952\) | 14.3927 | − | 5.13529i | 0.466469 | − | 0.166436i | ||||
\(953\) | −8.15404 | + | 31.0212i | −0.264135 | + | 1.00488i | 0.694328 | + | 0.719659i | \(0.255702\pi\) |
−0.958463 | + | 0.285216i | \(0.907935\pi\) | |||||||
\(954\) | 42.7194 | − | 34.9315i | 1.38309 | − | 1.13095i | ||||
\(955\) | 4.15253 | − | 4.27285i | 0.134373 | − | 0.138266i | ||||
\(956\) | 2.85772 | − | 19.8759i | 0.0924252 | − | 0.642831i | ||||
\(957\) | 8.71682 | + | 15.7299i | 0.281775 | + | 0.508474i | ||||
\(958\) | −1.01773 | − | 7.07847i | −0.0328814 | − | 0.228695i | ||||
\(959\) | −13.2182 | − | 9.60356i | −0.426837 | − | 0.310115i | ||||
\(960\) | 0.952646 | + | 3.62424i | 0.0307465 | + | 0.116972i | ||||
\(961\) | −1.12644 | − | 1.64736i | −0.0363367 | − | 0.0531408i | ||||
\(962\) | 2.52107 | + | 0.586250i | 0.0812825 | + | 0.0189014i | ||||
\(963\) | 29.0965 | − | 1.66380i | 0.937623 | − | 0.0536152i | ||||
\(964\) | −0.524169 | + | 0.0907110i | −0.0168823 | + | 0.00292160i | ||||
\(965\) | 2.84846 | − | 8.76664i | 0.0916950 | − | 0.282208i | ||||
\(966\) | 7.30937 | + | 85.1015i | 0.235175 | + | 2.73810i | ||||
\(967\) | 34.2710 | 1.10208 | 0.551040 | − | 0.834479i | \(-0.314231\pi\) | ||||
0.551040 | + | 0.834479i | \(0.314231\pi\) | |||||||
\(968\) | −9.34832 | + | 5.79732i | −0.300466 | + | 0.186333i | ||||
\(969\) | −30.8900 | −0.992330 | ||||||||
\(970\) | 0.663472 | + | 7.72466i | 0.0213028 | + | 0.248024i | ||||
\(971\) | 4.87935 | − | 15.0171i | 0.156586 | − | 0.481921i | −0.841732 | − | 0.539895i | \(-0.818464\pi\) |
0.998318 | + | 0.0579738i | \(0.0184640\pi\) | |||||||
\(972\) | 67.2185 | − | 11.6326i | 2.15603 | − | 0.373116i | ||||
\(973\) | 55.3253 | − | 3.16361i | 1.77365 | − | 0.101421i | ||||
\(974\) | −13.3325 | − | 3.10034i | −0.427200 | − | 0.0993411i | ||||
\(975\) | −4.21375 | − | 6.16241i | −0.134948 | − | 0.197355i | ||||
\(976\) | 0.539499 | + | 2.05247i | 0.0172689 | + | 0.0656978i | ||||
\(977\) | −45.6603 | − | 33.1742i | −1.46080 | − | 1.06134i | −0.983153 | − | 0.182786i | \(-0.941489\pi\) |
−0.477651 | − | 0.878550i | \(-0.658511\pi\) | |||||||
\(978\) | −0.662516 | − | 4.60790i | −0.0211849 | − | 0.147344i | ||||
\(979\) | −39.0496 | − | 8.24024i | −1.24803 | − | 0.263359i | ||||
\(980\) | −2.56444 | + | 17.8361i | −0.0819180 | + | 0.569752i | ||||
\(981\) | −64.7555 | + | 66.6318i | −2.06748 | + | 2.12739i | ||||
\(982\) | −29.7531 | + | 24.3290i | −0.949459 | + | 0.776369i | ||||
\(983\) | −14.8133 | + | 56.3558i | −0.472472 | + | 1.79747i | 0.121042 | + | 0.992647i | \(0.461377\pi\) |
−0.593514 | + | 0.804824i | \(0.702260\pi\) | |||||||
\(984\) | −2.88127 | + | 1.02803i | −0.0918515 | + | 0.0327726i | ||||
\(985\) | −8.80386 | − | 4.97177i | −0.280514 | − | 0.158414i | ||||
\(986\) | −2.62845 | + | 4.35880i | −0.0837070 | + | 0.138812i | ||||
\(987\) | −44.8503 | − | 41.1632i | −1.42760 | − | 1.31024i | ||||
\(988\) | −1.64870 | + | 0.383389i | −0.0524522 | + | 0.0121972i | ||||
\(989\) | 21.8191 | − | 6.40665i | 0.693806 | − | 0.203720i | ||||
\(990\) | 13.4229 | + | 27.8649i | 0.426606 | + | 0.885606i | ||||
\(991\) | 6.72595 | + | 1.97492i | 0.213657 | + | 0.0627353i | 0.386809 | − | 0.922160i | \(-0.373577\pi\) |
−0.173152 | + | 0.984895i | \(0.555395\pi\) | |||||||
\(992\) | −5.73482 | − | 0.327929i | −0.182081 | − | 0.0104117i | ||||
\(993\) | 79.2244 | − | 9.09015i | 2.51411 | − | 0.288467i | ||||
\(994\) | 42.7556 | + | 34.9611i | 1.35613 | + | 1.10890i | ||||
\(995\) | −13.0504 | + | 9.48165i | −0.413724 | + | 0.300588i | ||||
\(996\) | −35.0541 | − | 36.0698i | −1.11073 | − | 1.14292i | ||||
\(997\) | 50.8576 | + | 5.83537i | 1.61068 | + | 0.184808i | 0.872089 | − | 0.489348i | \(-0.162765\pi\) |
0.738589 | + | 0.674156i | \(0.235492\pi\) | |||||||
\(998\) | −20.4344 | − | 3.53632i | −0.646840 | − | 0.111940i | ||||
\(999\) | 37.5757 | − | 71.2139i | 1.18884 | − | 2.25311i |
(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 | 242.2.g.b.15.1 | ✓ | 240 | |
121.113 | even | 55 | inner | 242.2.g.b.113.1 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.b.15.1 | ✓ | 240 | 1.1 | even | 1 | trivial | |
242.2.g.b.113.1 | yes | 240 | 121.113 | even | 55 | inner |