Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.9 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.9 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.763868 | − | 1.55451i | −0.441019 | − | 0.897498i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −1.25961 | − | 1.84754i | −0.563314 | − | 0.826243i | ||||
\(6\) | −1.42998 | + | 0.977323i | −0.583787 | + | 0.398990i | ||||
\(7\) | 3.27194 | − | 2.10275i | 1.23668 | − | 0.794765i | 0.251761 | − | 0.967790i | \(-0.418990\pi\) |
0.984917 | + | 0.173025i | \(0.0553541\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −1.83301 | + | 2.37488i | −0.611004 | + | 0.791627i | ||||
\(10\) | −1.64947 | + | 1.50972i | −0.521608 | + | 0.477415i | ||||
\(11\) | 0.440681 | − | 3.06500i | 0.132870 | − | 0.924133i | −0.808917 | − | 0.587923i | \(-0.799946\pi\) |
0.941787 | − | 0.336210i | \(-0.109145\pi\) | |||||||
\(12\) | 1.17088 | + | 1.27634i | 0.338005 | + | 0.368447i | ||||
\(13\) | 3.74156 | − | 5.82197i | 1.03772 | − | 1.61472i | 0.282485 | − | 0.959272i | \(-0.408841\pi\) |
0.755236 | − | 0.655453i | \(-0.227522\pi\) | |||||||
\(14\) | −2.54699 | − | 2.93939i | −0.680713 | − | 0.785584i | ||||
\(15\) | −1.90984 | + | 3.36935i | −0.493119 | + | 0.869962i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.14788 | + | 3.90933i | −0.278403 | + | 0.948153i | 0.694992 | + | 0.719018i | \(0.255408\pi\) |
−0.973395 | + | 0.229135i | \(0.926410\pi\) | |||||||
\(18\) | 2.61157 | + | 1.47637i | 0.615554 | + | 0.347985i | ||||
\(19\) | −1.77219 | − | 6.03553i | −0.406569 | − | 1.38465i | −0.867600 | − | 0.497262i | \(-0.834339\pi\) |
0.461032 | − | 0.887384i | \(-0.347479\pi\) | |||||||
\(20\) | 1.72910 | + | 1.41783i | 0.386638 | + | 0.317035i | ||||
\(21\) | −5.76808 | − | 3.48005i | −1.25870 | − | 0.759409i | ||||
\(22\) | −3.09652 | −0.660180 | ||||||||
\(23\) | −4.26358 | − | 2.19588i | −0.889018 | − | 0.457873i | ||||
\(24\) | 1.09671 | − | 1.34061i | 0.223865 | − | 0.273650i | ||||
\(25\) | −1.82678 | + | 4.65434i | −0.365355 | + | 0.930868i | ||||
\(26\) | −6.29519 | − | 2.87492i | −1.23459 | − | 0.563818i | ||||
\(27\) | 5.09196 | + | 1.03534i | 0.979948 | + | 0.199252i | ||||
\(28\) | −2.54699 | + | 2.93939i | −0.481336 | + | 0.555492i | ||||
\(29\) | −1.15504 | + | 3.93371i | −0.214486 | + | 0.730471i | 0.780017 | + | 0.625758i | \(0.215210\pi\) |
−0.994503 | + | 0.104713i | \(0.966608\pi\) | |||||||
\(30\) | 3.60685 | + | 1.41089i | 0.658518 | + | 0.257593i | ||||
\(31\) | 4.59962 | + | 10.0718i | 0.826116 | + | 1.80894i | 0.509824 | + | 0.860278i | \(0.329710\pi\) |
0.316291 | + | 0.948662i | \(0.397562\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | −5.10120 | + | 1.65621i | −0.888005 | + | 0.288310i | ||||
\(34\) | 4.03290 | + | 0.579844i | 0.691637 | + | 0.0994424i | ||||
\(35\) | −8.00627 | − | 3.39639i | −1.35331 | − | 0.574095i | ||||
\(36\) | 1.08968 | − | 2.79510i | 0.181613 | − | 0.465850i | ||||
\(37\) | 2.13622 | + | 2.46533i | 0.351193 | + | 0.405298i | 0.903670 | − | 0.428230i | \(-0.140863\pi\) |
−0.552477 | + | 0.833528i | \(0.686317\pi\) | |||||||
\(38\) | −5.72189 | + | 2.61310i | −0.928213 | + | 0.423901i | ||||
\(39\) | −11.9084 | − | 1.36907i | −1.90687 | − | 0.219227i | ||||
\(40\) | 1.15732 | − | 1.91327i | 0.182988 | − | 0.302515i | ||||
\(41\) | 4.29664 | + | 3.72306i | 0.671023 | + | 0.581445i | 0.922302 | − | 0.386470i | \(-0.126306\pi\) |
−0.251279 | + | 0.967915i | \(0.580851\pi\) | |||||||
\(42\) | −2.62374 | + | 6.20463i | −0.404853 | + | 0.957396i | ||||
\(43\) | −0.812374 | + | 1.77885i | −0.123886 | + | 0.271272i | −0.961406 | − | 0.275135i | \(-0.911278\pi\) |
0.837520 | + | 0.546407i | \(0.184005\pi\) | |||||||
\(44\) | 0.440681 | + | 3.06500i | 0.0664351 | + | 0.462066i | ||||
\(45\) | 6.69656 | + | 0.395135i | 0.998264 | + | 0.0589033i | ||||
\(46\) | −1.56676 | + | 4.53269i | −0.231006 | + | 0.668308i | ||||
\(47\) | 0.0592923 | 0.00864867 | 0.00432434 | − | 0.999991i | \(-0.498624\pi\) | ||||
0.00432434 | + | 0.999991i | \(0.498624\pi\) | |||||||
\(48\) | −1.48304 | − | 0.894760i | −0.214058 | − | 0.129148i | ||||
\(49\) | 3.37615 | − | 7.39273i | 0.482307 | − | 1.05610i | ||||
\(50\) | 4.86694 | + | 1.14580i | 0.688290 | + | 0.162041i | ||||
\(51\) | 6.95394 | − | 1.20182i | 0.973746 | − | 0.168288i | ||||
\(52\) | −1.94976 | + | 6.64026i | −0.270383 | + | 0.920838i | ||||
\(53\) | −1.92485 | − | 2.99513i | −0.264399 | − | 0.411413i | 0.683516 | − | 0.729935i | \(-0.260450\pi\) |
−0.947915 | + | 0.318522i | \(0.896813\pi\) | |||||||
\(54\) | 0.300142 | − | 5.18748i | 0.0408442 | − | 0.705926i | ||||
\(55\) | −6.21778 | + | 3.04653i | −0.838406 | + | 0.410793i | ||||
\(56\) | 3.27194 | + | 2.10275i | 0.437232 | + | 0.280992i | ||||
\(57\) | −8.02858 | + | 7.36524i | −1.06341 | + | 0.975550i | ||||
\(58\) | 4.05805 | + | 0.583459i | 0.532848 | + | 0.0766119i | ||||
\(59\) | 4.81672 | − | 7.49496i | 0.627083 | − | 0.975760i | −0.371791 | − | 0.928317i | \(-0.621256\pi\) |
0.998874 | − | 0.0474439i | \(-0.0151075\pi\) | |||||||
\(60\) | 0.883225 | − | 3.77093i | 0.114024 | − | 0.486825i | ||||
\(61\) | −8.63162 | + | 3.94193i | −1.10517 | + | 0.504713i | −0.882562 | − | 0.470196i | \(-0.844183\pi\) |
−0.222604 | + | 0.974909i | \(0.571456\pi\) | |||||||
\(62\) | 9.31465 | − | 5.98616i | 1.18296 | − | 0.760243i | ||||
\(63\) | −1.00373 | + | 11.6248i | −0.126458 | + | 1.46459i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −15.4692 | + | 0.420745i | −1.91872 | + | 0.0521870i | ||||
\(66\) | 2.36533 | + | 4.81357i | 0.291152 | + | 0.592510i | ||||
\(67\) | 0.125525 | + | 0.873046i | 0.0153353 | + | 0.106660i | 0.996051 | − | 0.0887783i | \(-0.0282963\pi\) |
−0.980716 | + | 0.195438i | \(0.937387\pi\) | |||||||
\(68\) | − | 4.07438i | − | 0.494091i | ||||||
\(69\) | −0.156714 | + | 8.30515i | −0.0188661 | + | 0.999822i | ||||
\(70\) | −2.22241 | + | 8.40813i | −0.265629 | + | 1.00496i | ||||
\(71\) | 3.09468 | − | 0.444947i | 0.367271 | − | 0.0528055i | 0.0437911 | − | 0.999041i | \(-0.486056\pi\) |
0.323480 | + | 0.946235i | \(0.395147\pi\) | |||||||
\(72\) | −2.92173 | − | 0.680805i | −0.344329 | − | 0.0802336i | ||||
\(73\) | −2.90368 | − | 9.88903i | −0.339850 | − | 1.15742i | −0.935248 | − | 0.353993i | \(-0.884824\pi\) |
0.595398 | − | 0.803431i | \(-0.296994\pi\) | |||||||
\(74\) | 2.13622 | − | 2.46533i | 0.248331 | − | 0.286589i | ||||
\(75\) | 8.63064 | − | 0.715555i | 0.996581 | − | 0.0826251i | ||||
\(76\) | 3.40081 | + | 5.29176i | 0.390100 | + | 0.607007i | ||||
\(77\) | −5.00305 | − | 10.9551i | −0.570150 | − | 1.24846i | ||||
\(78\) | 0.339601 | + | 11.9820i | 0.0384523 | + | 1.35670i | ||||
\(79\) | 1.08271 | − | 1.68473i | 0.121814 | − | 0.189547i | −0.774991 | − | 0.631972i | \(-0.782246\pi\) |
0.896805 | + | 0.442426i | \(0.145882\pi\) | |||||||
\(80\) | −2.05850 | − | 0.873251i | −0.230148 | − | 0.0976324i | ||||
\(81\) | −2.28013 | − | 8.70638i | −0.253348 | − | 0.967375i | ||||
\(82\) | 3.07369 | − | 4.78276i | 0.339432 | − | 0.528167i | ||||
\(83\) | −2.56997 | + | 2.22689i | −0.282091 | + | 0.244433i | −0.784400 | − | 0.620255i | \(-0.787029\pi\) |
0.502310 | + | 0.864688i | \(0.332484\pi\) | |||||||
\(84\) | 6.51488 | + | 1.71403i | 0.710831 | + | 0.187016i | ||||
\(85\) | 8.66852 | − | 2.80347i | 0.940233 | − | 0.304079i | ||||
\(86\) | 1.87636 | + | 0.550948i | 0.202333 | + | 0.0594103i | ||||
\(87\) | 6.99729 | − | 1.20931i | 0.750188 | − | 0.129651i | ||||
\(88\) | 2.97109 | − | 0.872390i | 0.316719 | − | 0.0929971i | ||||
\(89\) | −1.08776 | + | 2.38187i | −0.115302 | + | 0.252477i | −0.958481 | − | 0.285157i | \(-0.907954\pi\) |
0.843178 | + | 0.537634i | \(0.180682\pi\) | |||||||
\(90\) | −0.561906 | − | 6.68463i | −0.0592301 | − | 0.704622i | ||||
\(91\) | − | 26.9167i | − | 2.82164i | ||||||
\(92\) | 4.70953 | + | 0.905744i | 0.491002 | + | 0.0944304i | ||||
\(93\) | 12.1432 | − | 14.8436i | 1.25919 | − | 1.53921i | ||||
\(94\) | −0.00843817 | − | 0.0586888i | −0.000870331 | − | 0.00605329i | ||||
\(95\) | −8.91859 | + | 10.8766i | −0.915028 | + | 1.11591i | ||||
\(96\) | −0.674594 | + | 1.59528i | −0.0688505 | + | 0.162818i | ||||
\(97\) | 4.80678 | − | 5.54732i | 0.488054 | − | 0.563245i | −0.457290 | − | 0.889317i | \(-0.651180\pi\) |
0.945345 | + | 0.326073i | \(0.105725\pi\) | |||||||
\(98\) | −7.79796 | − | 2.28969i | −0.787713 | − | 0.231293i | ||||
\(99\) | 6.47124 | + | 6.66475i | 0.650385 | + | 0.669832i | ||||
\(100\) | 0.441500 | − | 4.98047i | 0.0441500 | − | 0.498047i | ||||
\(101\) | 1.14648 | − | 0.993434i | 0.114079 | − | 0.0988504i | −0.595953 | − | 0.803019i | \(-0.703226\pi\) |
0.710033 | + | 0.704169i | \(0.248680\pi\) | |||||||
\(102\) | −2.17923 | − | 6.71212i | −0.215776 | − | 0.664599i | ||||
\(103\) | −0.147933 | + | 1.02890i | −0.0145763 | + | 0.101380i | −0.995811 | − | 0.0914380i | \(-0.970854\pi\) |
0.981234 | + | 0.192818i | \(0.0617628\pi\) | |||||||
\(104\) | 6.85015 | + | 0.984903i | 0.671713 | + | 0.0965777i | ||||
\(105\) | 0.836002 | + | 15.0402i | 0.0815854 | + | 1.46778i | ||||
\(106\) | −2.69071 | + | 2.33151i | −0.261345 | + | 0.226456i | ||||
\(107\) | 5.37905 | − | 2.45653i | 0.520013 | − | 0.237482i | −0.138077 | − | 0.990422i | \(-0.544092\pi\) |
0.658089 | + | 0.752940i | \(0.271365\pi\) | |||||||
\(108\) | −5.17739 | + | 0.441168i | −0.498195 | + | 0.0424514i | ||||
\(109\) | −2.07224 | + | 7.05740i | −0.198484 | + | 0.675976i | 0.798750 | + | 0.601662i | \(0.205495\pi\) |
−0.997235 | + | 0.0743135i | \(0.976323\pi\) | |||||||
\(110\) | 3.90040 | + | 5.72093i | 0.371888 | + | 0.545469i | ||||
\(111\) | 2.20060 | − | 5.20397i | 0.208871 | − | 0.493939i | ||||
\(112\) | 1.61570 | − | 3.53789i | 0.152669 | − | 0.334299i | ||||
\(113\) | −9.64095 | + | 1.38616i | −0.906944 | + | 0.130399i | −0.579973 | − | 0.814636i | \(-0.696937\pi\) |
−0.326971 | + | 0.945034i | \(0.606028\pi\) | |||||||
\(114\) | 8.43286 | + | 6.89868i | 0.789809 | + | 0.646120i | ||||
\(115\) | 1.31347 | + | 10.6431i | 0.122481 | + | 0.992471i | ||||
\(116\) | − | 4.09978i | − | 0.380655i | ||||||
\(117\) | 6.96819 | + | 19.5575i | 0.644209 | + | 1.80809i | ||||
\(118\) | −8.10416 | − | 3.70105i | −0.746048 | − | 0.340709i | ||||
\(119\) | 4.46454 | + | 15.2048i | 0.409264 | + | 1.39382i | ||||
\(120\) | −3.85824 | − | 0.337576i | −0.352208 | − | 0.0308163i | ||||
\(121\) | 1.35439 | + | 0.397685i | 0.123126 | + | 0.0361532i | ||||
\(122\) | 5.13022 | + | 7.98277i | 0.464468 | + | 0.722726i | ||||
\(123\) | 2.50548 | − | 9.52311i | 0.225911 | − | 0.858670i | ||||
\(124\) | −7.25084 | − | 8.36792i | −0.651145 | − | 0.751461i | ||||
\(125\) | 10.9001 | − | 2.48761i | 0.974933 | − | 0.222498i | ||||
\(126\) | 11.6494 | − | 0.660878i | 1.03781 | − | 0.0588757i | ||||
\(127\) | −0.0578494 | − | 0.00831748i | −0.00513330 | − | 0.000738057i | 0.139748 | − | 0.990187i | \(-0.455371\pi\) |
−0.144881 | + | 0.989449i | \(0.546280\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 3.38579 | − | 0.0959622i | 0.298102 | − | 0.00844900i | ||||
\(130\) | 2.61796 | + | 15.2519i | 0.229610 | + | 1.33768i | ||||
\(131\) | −1.69413 | − | 2.63612i | −0.148017 | − | 0.230319i | 0.759326 | − | 0.650711i | \(-0.225529\pi\) |
−0.907343 | + | 0.420392i | \(0.861893\pi\) | |||||||
\(132\) | 4.42796 | − | 3.02630i | 0.385404 | − | 0.263405i | ||||
\(133\) | −18.4897 | − | 16.0214i | −1.60326 | − | 1.38923i | ||||
\(134\) | 0.846296 | − | 0.248495i | 0.0731088 | − | 0.0214667i | ||||
\(135\) | −4.50104 | − | 10.7117i | −0.387388 | − | 0.921917i | ||||
\(136\) | −4.03290 | + | 0.579844i | −0.345819 | + | 0.0497212i | ||||
\(137\) | − | 5.59784i | − | 0.478256i | −0.970988 | − | 0.239128i | \(-0.923138\pi\) | ||
0.970988 | − | 0.239128i | \(-0.0768615\pi\) | |||||||
\(138\) | 8.24291 | − | 1.02683i | 0.701683 | − | 0.0874093i | ||||
\(139\) | 15.3327 | 1.30051 | 0.650253 | − | 0.759718i | \(-0.274663\pi\) | ||||
0.650253 | + | 0.759718i | \(0.274663\pi\) | |||||||
\(140\) | 8.63883 | + | 1.00319i | 0.730115 | + | 0.0847848i | ||||
\(141\) | −0.0452915 | − | 0.0921706i | −0.00381423 | − | 0.00776216i | ||||
\(142\) | −0.880837 | − | 2.99985i | −0.0739182 | − | 0.251742i | ||||
\(143\) | −16.1955 | − | 14.0335i | −1.35434 | − | 1.17354i | ||||
\(144\) | −0.258070 | + | 2.98888i | −0.0215058 | + | 0.249073i | ||||
\(145\) | 8.72256 | − | 2.82095i | 0.724369 | − | 0.234267i | ||||
\(146\) | −9.37514 | + | 4.28148i | −0.775892 | + | 0.354338i | ||||
\(147\) | −14.0710 | + | 0.398809i | −1.16056 | + | 0.0328932i | ||||
\(148\) | −2.74426 | − | 1.76363i | −0.225576 | − | 0.144969i | ||||
\(149\) | 1.68483 | − | 11.7182i | 0.138026 | − | 0.959995i | −0.796636 | − | 0.604459i | \(-0.793389\pi\) |
0.934663 | − | 0.355536i | \(-0.115702\pi\) | |||||||
\(150\) | −1.93654 | − | 8.44096i | −0.158118 | − | 0.689202i | ||||
\(151\) | 6.10869 | + | 3.92581i | 0.497118 | + | 0.319478i | 0.765062 | − | 0.643956i | \(-0.222708\pi\) |
−0.267945 | + | 0.963434i | \(0.586344\pi\) | |||||||
\(152\) | 4.75392 | − | 4.11929i | 0.385594 | − | 0.334119i | ||||
\(153\) | −7.18012 | − | 9.89195i | −0.580479 | − | 0.799717i | ||||
\(154\) | −10.1316 | + | 6.51121i | −0.816430 | + | 0.524688i | ||||
\(155\) | 12.8142 | − | 21.1844i | 1.02926 | − | 1.70157i | ||||
\(156\) | 11.8117 | − | 2.04136i | 0.945694 | − | 0.163440i | ||||
\(157\) | −6.68970 | + | 1.96427i | −0.533896 | + | 0.156766i | −0.537557 | − | 0.843227i | \(-0.680653\pi\) |
0.00366100 | + | 0.999993i | \(0.498835\pi\) | |||||||
\(158\) | −1.82167 | − | 0.831927i | −0.144924 | − | 0.0661845i | ||||
\(159\) | −3.18563 | + | 5.28009i | −0.252637 | + | 0.418738i | ||||
\(160\) | −0.571407 | + | 2.16183i | −0.0451737 | + | 0.170907i | ||||
\(161\) | −18.5676 | + | 1.78044i | −1.46333 | + | 0.140318i | ||||
\(162\) | −8.29326 | + | 3.49597i | −0.651580 | + | 0.274669i | ||||
\(163\) | −19.8675 | + | 2.85652i | −1.55614 | + | 0.223740i | −0.866042 | − | 0.499972i | \(-0.833344\pi\) |
−0.690103 | + | 0.723711i | \(0.742435\pi\) | |||||||
\(164\) | −5.17151 | − | 2.36175i | −0.403827 | − | 0.184422i | ||||
\(165\) | 9.48542 | + | 7.33847i | 0.738439 | + | 0.571299i | ||||
\(166\) | 2.56997 | + | 2.22689i | 0.199468 | + | 0.172840i | ||||
\(167\) | 19.6414 | + | 5.76724i | 1.51990 | + | 0.446282i | 0.931941 | − | 0.362610i | \(-0.118114\pi\) |
0.587957 | + | 0.808892i | \(0.299932\pi\) | |||||||
\(168\) | 0.769417 | − | 6.69250i | 0.0593618 | − | 0.516337i | ||||
\(169\) | −14.4957 | − | 31.7413i | −1.11506 | − | 2.44163i | ||||
\(170\) | −4.00859 | − | 8.18131i | −0.307445 | − | 0.627478i | ||||
\(171\) | 17.5821 | + | 6.85445i | 1.34454 | + | 0.524173i | ||||
\(172\) | 0.278307 | − | 1.93567i | 0.0212207 | − | 0.147593i | ||||
\(173\) | 0.565579 | − | 3.93369i | 0.0430002 | − | 0.299073i | −0.956961 | − | 0.290218i | \(-0.906272\pi\) |
0.999961 | − | 0.00885509i | \(-0.00281870\pi\) | |||||||
\(174\) | −2.19282 | − | 6.75397i | −0.166237 | − | 0.512017i | ||||
\(175\) | 3.80980 | + | 19.0700i | 0.287994 | + | 1.44156i | ||||
\(176\) | −1.28634 | − | 2.81669i | −0.0969616 | − | 0.212316i | ||||
\(177\) | −15.3303 | − | 1.76249i | −1.15230 | − | 0.132477i | ||||
\(178\) | 2.51243 | + | 0.737715i | 0.188314 | + | 0.0552941i | ||||
\(179\) | 19.1818 | + | 16.6211i | 1.43371 | + | 1.24232i | 0.924229 | + | 0.381838i | \(0.124709\pi\) |
0.509483 | + | 0.860481i | \(0.329837\pi\) | |||||||
\(180\) | −6.53662 | + | 1.50751i | −0.487211 | + | 0.112363i | ||||
\(181\) | −3.39420 | − | 1.55008i | −0.252289 | − | 0.115217i | 0.285257 | − | 0.958451i | \(-0.407921\pi\) |
−0.537546 | + | 0.843235i | \(0.680648\pi\) | |||||||
\(182\) | −26.6427 | + | 3.83065i | −1.97489 | + | 0.283947i | ||||
\(183\) | 12.7212 | + | 10.4068i | 0.940378 | + | 0.769296i | ||||
\(184\) | 0.226290 | − | 4.79049i | 0.0166823 | − | 0.353160i | ||||
\(185\) | 1.86399 | − | 7.05210i | 0.137043 | − | 0.518481i | ||||
\(186\) | −16.4207 | − | 9.90709i | −1.20402 | − | 0.726423i | ||||
\(187\) | 11.4763 | + | 5.24103i | 0.839228 | + | 0.383262i | ||||
\(188\) | −0.0568905 | + | 0.0167046i | −0.00414917 | + | 0.00121831i | ||||
\(189\) | 18.8377 | − | 7.31954i | 1.37024 | − | 0.532418i | ||||
\(190\) | 12.0351 | + | 7.27991i | 0.873120 | + | 0.528140i | ||||
\(191\) | 7.80845 | − | 5.01819i | 0.565000 | − | 0.363103i | −0.226746 | − | 0.973954i | \(-0.572809\pi\) |
0.791746 | + | 0.610851i | \(0.209172\pi\) | |||||||
\(192\) | 1.67505 | + | 0.440696i | 0.120886 | + | 0.0318045i | ||||
\(193\) | 11.3768 | − | 9.85809i | 0.818923 | − | 0.709601i | −0.140956 | − | 0.990016i | \(-0.545017\pi\) |
0.959879 | + | 0.280415i | \(0.0904720\pi\) | |||||||
\(194\) | −6.17493 | − | 3.96838i | −0.443334 | − | 0.284913i | ||||
\(195\) | 12.4705 | + | 23.7256i | 0.893029 | + | 1.69903i | ||||
\(196\) | −1.15662 | + | 8.04444i | −0.0826155 | + | 0.574603i | ||||
\(197\) | −17.7486 | − | 11.4063i | −1.26453 | − | 0.812666i | −0.275635 | − | 0.961262i | \(-0.588888\pi\) |
−0.988898 | + | 0.148596i | \(0.952525\pi\) | |||||||
\(198\) | 5.67596 | − | 7.35387i | 0.403373 | − | 0.522617i | ||||
\(199\) | 16.2954 | − | 7.44184i | 1.15515 | − | 0.527538i | 0.256645 | − | 0.966506i | \(-0.417383\pi\) |
0.898503 | + | 0.438968i | \(0.144656\pi\) | |||||||
\(200\) | −4.99261 | + | 0.271788i | −0.353031 | + | 0.0192183i | ||||
\(201\) | 1.26128 | − | 0.862022i | 0.0889635 | − | 0.0608023i | ||||
\(202\) | −1.14648 | − | 0.993434i | −0.0806664 | − | 0.0698978i | ||||
\(203\) | 4.49238 | + | 15.2996i | 0.315303 | + | 1.07382i | ||||
\(204\) | −6.33366 | + | 3.11228i | −0.443445 | + | 0.217903i | ||||
\(205\) | 1.46641 | − | 12.6278i | 0.102418 | − | 0.881964i | ||||
\(206\) | 1.03948 | 0.0724238 | ||||||||
\(207\) | 13.0302 | − | 6.10042i | 0.905658 | − | 0.424008i | ||||
\(208\) | − | 6.92059i | − | 0.479857i | ||||||
\(209\) | −19.2799 | + | 2.77203i | −1.33362 | + | 0.191745i | ||||
\(210\) | 14.7682 | − | 2.96794i | 1.01910 | − | 0.204807i | ||||
\(211\) | −9.90696 | + | 2.90895i | −0.682023 | + | 0.200260i | −0.604350 | − | 0.796719i | \(-0.706567\pi\) |
−0.0776730 | + | 0.996979i | \(0.524749\pi\) | |||||||
\(212\) | 2.69071 | + | 2.33151i | 0.184799 | + | 0.160129i | ||||
\(213\) | −3.05560 | − | 4.47083i | −0.209366 | − | 0.306336i | ||||
\(214\) | −3.19705 | − | 4.97470i | −0.218546 | − | 0.340064i | ||||
\(215\) | 4.30976 | − | 0.739764i | 0.293923 | − | 0.0504515i | ||||
\(216\) | 1.17350 | + | 5.06191i | 0.0798463 | + | 0.344419i | ||||
\(217\) | 36.2281 | + | 23.2824i | 2.45932 | + | 1.58051i | ||||
\(218\) | 7.28047 | + | 1.04677i | 0.493096 | + | 0.0708965i | ||||
\(219\) | −13.1546 | + | 12.0677i | −0.888905 | + | 0.815461i | ||||
\(220\) | 5.10761 | − | 4.67487i | 0.344355 | − | 0.315180i | ||||
\(221\) | 18.4652 | + | 21.3099i | 1.24210 | + | 1.43346i | ||||
\(222\) | −5.46418 | − | 1.43760i | −0.366732 | − | 0.0964851i | ||||
\(223\) | 8.57691 | + | 13.3459i | 0.574352 | + | 0.893710i | 0.999937 | − | 0.0112090i | \(-0.00356800\pi\) |
−0.425585 | + | 0.904918i | \(0.639932\pi\) | |||||||
\(224\) | −3.73182 | − | 1.09576i | −0.249343 | − | 0.0732136i | ||||
\(225\) | −7.70501 | − | 12.8698i | −0.513667 | − | 0.857990i | ||||
\(226\) | 2.74410 | + | 9.34554i | 0.182535 | + | 0.621656i | ||||
\(227\) | 20.9024 | + | 9.54580i | 1.38734 | + | 0.633577i | 0.962398 | − | 0.271644i | \(-0.0875673\pi\) |
0.424942 | + | 0.905221i | \(0.360295\pi\) | |||||||
\(228\) | 5.62834 | − | 9.32881i | 0.372746 | − | 0.617815i | ||||
\(229\) | 4.71742i | 0.311736i | 0.987778 | + | 0.155868i | \(0.0498174\pi\) | ||||
−0.987778 | + | 0.155868i | \(0.950183\pi\) | |||||||
\(230\) | 10.3478 | − | 2.81476i | 0.682314 | − | 0.185600i | ||||
\(231\) | −13.2082 | + | 16.1456i | −0.869038 | + | 1.06230i | ||||
\(232\) | −4.05805 | + | 0.583459i | −0.266424 | + | 0.0383060i | ||||
\(233\) | 2.80916 | − | 6.15121i | 0.184034 | − | 0.402979i | −0.795018 | − | 0.606585i | \(-0.792539\pi\) |
0.979053 | + | 0.203606i | \(0.0652661\pi\) | |||||||
\(234\) | 18.3668 | − | 9.68058i | 1.20067 | − | 0.632840i | ||||
\(235\) | −0.0746850 | − | 0.109545i | −0.00487191 | − | 0.00714590i | ||||
\(236\) | −2.51003 | + | 8.54839i | −0.163389 | + | 0.556453i | ||||
\(237\) | −3.44597 | − | 0.396174i | −0.223840 | − | 0.0257343i | ||||
\(238\) | 14.4147 | − | 6.58297i | 0.934366 | − | 0.426711i | ||||
\(239\) | 12.6529 | − | 10.9638i | 0.818451 | − | 0.709192i | −0.141324 | − | 0.989963i | \(-0.545136\pi\) |
0.959775 | + | 0.280772i | \(0.0905903\pi\) | |||||||
\(240\) | 0.214946 | + | 3.86701i | 0.0138747 | + | 0.249615i | ||||
\(241\) | 9.37191 | + | 1.34748i | 0.603698 | + | 0.0867986i | 0.437385 | − | 0.899274i | \(-0.355905\pi\) |
0.166313 | + | 0.986073i | \(0.446814\pi\) | |||||||
\(242\) | 0.200887 | − | 1.39720i | 0.0129135 | − | 0.0898155i | ||||
\(243\) | −11.7924 | + | 10.1950i | −0.756486 | + | 0.654010i | ||||
\(244\) | 7.17141 | − | 6.21406i | 0.459103 | − | 0.397815i | ||||
\(245\) | −17.9110 | + | 3.07439i | −1.14429 | + | 0.196415i | ||||
\(246\) | −9.78274 | − | 1.12469i | −0.623725 | − | 0.0717079i | ||||
\(247\) | −41.7694 | − | 12.2646i | −2.65773 | − | 0.780379i | ||||
\(248\) | −7.25084 | + | 8.36792i | −0.460429 | + | 0.531363i | ||||
\(249\) | 5.42484 | + | 2.29400i | 0.343786 | + | 0.145376i | ||||
\(250\) | −4.01353 | − | 10.4351i | −0.253838 | − | 0.659974i | ||||
\(251\) | −1.56053 | − | 10.8537i | −0.0984999 | − | 0.685082i | −0.977911 | − | 0.209019i | \(-0.932973\pi\) |
0.879412 | − | 0.476062i | \(-0.157936\pi\) | |||||||
\(252\) | −2.31203 | − | 11.4367i | −0.145644 | − | 0.720447i | ||||
\(253\) | −8.60926 | + | 12.1002i | −0.541259 | + | 0.760732i | ||||
\(254\) | 0.0584442i | 0.00366712i | ||||||||
\(255\) | −10.9796 | − | 11.3338i | −0.687571 | − | 0.709752i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −11.8237 | + | 3.47175i | −0.737543 | + | 0.216562i | −0.628865 | − | 0.777515i | \(-0.716480\pi\) |
−0.108678 | + | 0.994077i | \(0.534662\pi\) | |||||||
\(258\) | −0.576834 | − | 3.33767i | −0.0359121 | − | 0.207794i | ||||
\(259\) | 12.1736 | + | 3.57449i | 0.756429 | + | 0.222108i | ||||
\(260\) | 14.7240 | − | 4.76188i | 0.913147 | − | 0.295319i | ||||
\(261\) | −7.22489 | − | 9.95362i | −0.447209 | − | 0.616113i | ||||
\(262\) | −2.36819 | + | 2.05205i | −0.146307 | + | 0.126776i | ||||
\(263\) | −0.588699 | + | 0.916033i | −0.0363007 | + | 0.0564850i | −0.858930 | − | 0.512094i | \(-0.828870\pi\) |
0.822629 | + | 0.568579i | \(0.192506\pi\) | |||||||
\(264\) | −3.62566 | − | 3.95220i | −0.223144 | − | 0.243241i | ||||
\(265\) | −3.10905 | + | 7.32892i | −0.190987 | + | 0.450212i | ||||
\(266\) | −13.2270 | + | 20.5816i | −0.810999 | + | 1.26194i | ||||
\(267\) | 4.53354 | − | 0.128492i | 0.277448 | − | 0.00786361i | ||||
\(268\) | −0.366406 | − | 0.802317i | −0.0223818 | − | 0.0490093i | ||||
\(269\) | −7.95465 | − | 12.3777i | −0.485004 | − | 0.754680i | 0.509377 | − | 0.860543i | \(-0.329876\pi\) |
−0.994381 | + | 0.105863i | \(0.966239\pi\) | |||||||
\(270\) | −9.96211 | + | 5.97966i | −0.606275 | + | 0.363911i | ||||
\(271\) | −0.842177 | + | 0.971924i | −0.0511586 | + | 0.0590402i | −0.780752 | − | 0.624841i | \(-0.785164\pi\) |
0.729594 | + | 0.683881i | \(0.239709\pi\) | |||||||
\(272\) | 1.14788 | + | 3.90933i | 0.0696007 | + | 0.237038i | ||||
\(273\) | −41.8423 | + | 20.5608i | −2.53241 | + | 1.24440i | ||||
\(274\) | −5.54086 | + | 0.796656i | −0.334736 | + | 0.0481277i | ||||
\(275\) | 13.4605 | + | 7.65015i | 0.811701 | + | 0.461321i | ||||
\(276\) | −2.18946 | − | 8.01288i | −0.131790 | − | 0.482319i | ||||
\(277\) | 10.6459i | 0.639649i | 0.947477 | + | 0.319825i | \(0.103624\pi\) | ||||
−0.947477 | + | 0.319825i | \(0.896376\pi\) | |||||||
\(278\) | −2.18208 | − | 15.1767i | −0.130872 | − | 0.910237i | ||||
\(279\) | −32.3504 | − | 7.53810i | −1.93677 | − | 0.451294i | ||||
\(280\) | −0.236458 | − | 8.69367i | −0.0141311 | − | 0.519546i | ||||
\(281\) | 9.02975 | − | 10.4209i | 0.538669 | − | 0.621658i | −0.419536 | − | 0.907739i | \(-0.637807\pi\) |
0.958205 | + | 0.286081i | \(0.0923526\pi\) | |||||||
\(282\) | −0.0847867 | + | 0.0579477i | −0.00504898 | + | 0.00345074i | ||||
\(283\) | 5.69092 | − | 3.65733i | 0.338290 | − | 0.217406i | −0.360455 | − | 0.932777i | \(-0.617379\pi\) |
0.698745 | + | 0.715371i | \(0.253742\pi\) | |||||||
\(284\) | −2.84396 | + | 1.29880i | −0.168758 | + | 0.0770693i | ||||
\(285\) | 23.7204 | + | 5.55578i | 1.40508 | + | 0.329096i | ||||
\(286\) | −11.5858 | + | 18.0279i | −0.685083 | + | 1.06601i | ||||
\(287\) | 21.8870 | + | 3.14688i | 1.29195 | + | 0.185755i | ||||
\(288\) | 2.99518 | − | 0.169919i | 0.176493 | − | 0.0100126i | ||||
\(289\) | 0.336053 | + | 0.215968i | 0.0197678 | + | 0.0127040i | ||||
\(290\) | −4.03359 | − | 8.23232i | −0.236860 | − | 0.483418i | ||||
\(291\) | −12.2951 | − | 3.23477i | −0.720752 | − | 0.189626i | ||||
\(292\) | 5.57212 | + | 8.67040i | 0.326084 | + | 0.507397i | ||||
\(293\) | −8.15376 | + | 27.7692i | −0.476348 | + | 1.62229i | 0.274338 | + | 0.961633i | \(0.411541\pi\) |
−0.750686 | + | 0.660659i | \(0.770277\pi\) | |||||||
\(294\) | 2.39726 | + | 13.8710i | 0.139811 | + | 0.808975i | ||||
\(295\) | −19.9144 | + | 0.541649i | −1.15946 | + | 0.0315361i | ||||
\(296\) | −1.35513 | + | 2.96731i | −0.0787651 | + | 0.172472i | ||||
\(297\) | 5.41725 | − | 15.1506i | 0.314341 | − | 0.879128i | ||||
\(298\) | −11.8387 | −0.685799 | ||||||||
\(299\) | −28.7368 | + | 16.6064i | −1.66189 | + | 0.960374i | ||||
\(300\) | −8.07945 | + | 3.11810i | −0.466467 | + | 0.180024i | ||||
\(301\) | 1.08244 | + | 7.52852i | 0.0623907 | + | 0.433937i | ||||
\(302\) | 3.01650 | − | 6.60521i | 0.173580 | − | 0.380087i | ||||
\(303\) | −2.42007 | − | 1.02337i | −0.139029 | − | 0.0587911i | ||||
\(304\) | −4.75392 | − | 4.11929i | −0.272656 | − | 0.236258i | ||||
\(305\) | 18.1553 | + | 10.9819i | 1.03957 | + | 0.628825i | ||||
\(306\) | −8.76942 | + | 8.51481i | −0.501315 | + | 0.486759i | ||||
\(307\) | −10.8518 | + | 4.95585i | −0.619345 | + | 0.282845i | −0.700274 | − | 0.713875i | \(-0.746939\pi\) |
0.0809288 | + | 0.996720i | \(0.474211\pi\) | |||||||
\(308\) | 7.88681 | + | 9.10187i | 0.449393 | + | 0.518627i | ||||
\(309\) | 1.71243 | − | 0.555978i | 0.0974169 | − | 0.0316285i | ||||
\(310\) | −22.7924 | − | 9.66893i | −1.29452 | − | 0.549158i | ||||
\(311\) | −23.2253 | − | 3.33929i | −1.31698 | − | 0.189354i | −0.552238 | − | 0.833686i | \(-0.686226\pi\) |
−0.764745 | + | 0.644333i | \(0.777135\pi\) | |||||||
\(312\) | −3.70157 | − | 11.4010i | −0.209560 | − | 0.645453i | ||||
\(313\) | −3.86747 | − | 4.46330i | −0.218602 | − | 0.252280i | 0.635847 | − | 0.771815i | \(-0.280651\pi\) |
−0.854449 | + | 0.519535i | \(0.826105\pi\) | |||||||
\(314\) | 2.89632 | + | 6.34207i | 0.163449 | + | 0.357903i | ||||
\(315\) | 22.7416 | − | 12.7883i | 1.28135 | − | 0.720540i | ||||
\(316\) | −0.564209 | + | 1.92152i | −0.0317392 | + | 0.108094i | ||||
\(317\) | 2.22705 | − | 2.57015i | 0.125083 | − | 0.144354i | −0.689753 | − | 0.724044i | \(-0.742281\pi\) |
0.814837 | + | 0.579690i | \(0.196827\pi\) | |||||||
\(318\) | 5.67971 | + | 2.40177i | 0.318502 | + | 0.134685i | ||||
\(319\) | 11.5478 | + | 5.27371i | 0.646553 | + | 0.295271i | ||||
\(320\) | 2.22114 | + | 0.257931i | 0.124166 | + | 0.0144188i | ||||
\(321\) | −7.92759 | − | 6.48533i | −0.442475 | − | 0.361976i | ||||
\(322\) | 4.40476 | + | 18.1252i | 0.245468 | + | 1.01008i | ||||
\(323\) | 25.6292 | 1.42605 | ||||||||
\(324\) | 4.64064 | + | 7.71132i | 0.257813 | + | 0.428407i | ||||
\(325\) | 20.2625 | + | 28.0499i | 1.12396 | + | 1.55593i | ||||
\(326\) | 5.65489 | + | 19.2588i | 0.313195 | + | 1.06664i | ||||
\(327\) | 12.5537 | − | 2.16960i | 0.694222 | − | 0.119979i | ||||
\(328\) | −1.60173 | + | 5.45498i | −0.0884406 | + | 0.301201i | ||||
\(329\) | 0.194001 | − | 0.124677i | 0.0106956 | − | 0.00687366i | ||||
\(330\) | 5.91386 | − | 10.4332i | 0.325547 | − | 0.574332i | ||||
\(331\) | −7.67572 | − | 8.85825i | −0.421896 | − | 0.486893i | 0.504518 | − | 0.863401i | \(-0.331670\pi\) |
−0.926413 | + | 0.376508i | \(0.877125\pi\) | |||||||
\(332\) | 1.83848 | − | 2.86073i | 0.100900 | − | 0.157003i | ||||
\(333\) | −9.77060 | + | 0.554294i | −0.535426 | + | 0.0303751i | ||||
\(334\) | 2.91327 | − | 20.2623i | 0.159407 | − | 1.10870i | ||||
\(335\) | 1.45487 | − | 1.33161i | 0.0794881 | − | 0.0727535i | ||||
\(336\) | −6.73388 | + | 0.190856i | −0.367363 | + | 0.0104120i | ||||
\(337\) | −13.1513 | − | 28.7974i | −0.716398 | − | 1.56869i | −0.818884 | − | 0.573959i | \(-0.805407\pi\) |
0.102486 | − | 0.994734i | \(-0.467320\pi\) | |||||||
\(338\) | −29.3552 | + | 18.8654i | −1.59671 | + | 1.02615i | ||||
\(339\) | 9.51921 | + | 13.9281i | 0.517012 | + | 0.756472i | ||||
\(340\) | −7.52755 | + | 5.13211i | −0.408239 | + | 0.278328i | ||||
\(341\) | 32.8969 | − | 9.65940i | 1.78147 | − | 0.523086i | ||||
\(342\) | 4.28249 | − | 18.3787i | 0.231570 | − | 0.993804i | ||||
\(343\) | −0.623903 | − | 4.33934i | −0.0336876 | − | 0.234302i | ||||
\(344\) | −1.95557 | −0.105437 | ||||||||
\(345\) | 15.5415 | − | 10.1717i | 0.836724 | − | 0.547625i | ||||
\(346\) | −3.97414 | −0.213651 | ||||||||
\(347\) | 2.11364 | + | 14.7007i | 0.113466 | + | 0.789173i | 0.964504 | + | 0.264069i | \(0.0850646\pi\) |
−0.851038 | + | 0.525104i | \(0.824026\pi\) | |||||||
\(348\) | −6.37315 | + | 3.13169i | −0.341637 | + | 0.167876i | ||||
\(349\) | −11.2067 | + | 3.29059i | −0.599882 | + | 0.176141i | −0.567554 | − | 0.823336i | \(-0.692110\pi\) |
−0.0323279 | + | 0.999477i | \(0.510292\pi\) | |||||||
\(350\) | 18.3337 | − | 6.48497i | 0.979977 | − | 0.346636i | ||||
\(351\) | 25.0796 | − | 25.7715i | 1.33865 | − | 1.37558i | ||||
\(352\) | −2.60496 | + | 1.67410i | −0.138845 | + | 0.0892301i | ||||
\(353\) | 10.9497 | + | 23.9766i | 0.582795 | + | 1.27614i | 0.939699 | + | 0.342002i | \(0.111105\pi\) |
−0.356904 | + | 0.934141i | \(0.616168\pi\) | |||||||
\(354\) | 0.437188 | + | 15.4251i | 0.0232363 | + | 0.819836i | ||||
\(355\) | −4.72013 | − | 5.15707i | −0.250519 | − | 0.273709i | ||||
\(356\) | 0.372650 | − | 2.59184i | 0.0197504 | − | 0.137367i | ||||
\(357\) | 20.2258 | − | 18.5547i | 1.07046 | − | 0.982017i | ||||
\(358\) | 13.7221 | − | 21.3520i | 0.725234 | − | 1.12849i | ||||
\(359\) | −14.1498 | − | 16.3297i | −0.746797 | − | 0.861849i | 0.247457 | − | 0.968899i | \(-0.420405\pi\) |
−0.994254 | + | 0.107050i | \(0.965860\pi\) | |||||||
\(360\) | 2.42242 | + | 6.25555i | 0.127673 | + | 0.329696i | ||||
\(361\) | −17.3031 | + | 11.1201i | −0.910692 | + | 0.585266i | ||||
\(362\) | −1.05126 | + | 3.58025i | −0.0552529 | + | 0.188174i | ||||
\(363\) | −0.416369 | − | 2.40919i | −0.0218537 | − | 0.126450i | ||||
\(364\) | 7.58332 | + | 25.8264i | 0.397474 | + | 1.35367i | ||||
\(365\) | −14.6128 | + | 17.8210i | −0.764871 | + | 0.932792i | ||||
\(366\) | 8.49050 | − | 14.0728i | 0.443806 | − | 0.735595i | ||||
\(367\) | 0.535808 | 0.0279690 | 0.0139845 | − | 0.999902i | \(-0.495548\pi\) | ||||
0.0139845 | + | 0.999902i | \(0.495548\pi\) | |||||||
\(368\) | −4.77393 | + | 0.457771i | −0.248859 | + | 0.0238630i | ||||
\(369\) | −16.7176 | + | 3.37960i | −0.870285 | + | 0.175935i | ||||
\(370\) | −7.24559 | − | 0.841397i | −0.376681 | − | 0.0437421i | ||||
\(371\) | −12.5960 | − | 5.75241i | −0.653953 | − | 0.298650i | ||||
\(372\) | −7.46934 | + | 17.6635i | −0.387267 | + | 0.915810i | ||||
\(373\) | 5.09713 | − | 5.88240i | 0.263919 | − | 0.304579i | −0.608287 | − | 0.793717i | \(-0.708143\pi\) |
0.872206 | + | 0.489138i | \(0.162689\pi\) | |||||||
\(374\) | 3.55445 | − | 12.1053i | 0.183796 | − | 0.625952i | ||||
\(375\) | −12.1932 | − | 15.0441i | −0.629656 | − | 0.776874i | ||||
\(376\) | 0.0246309 | + | 0.0539342i | 0.00127024 | + | 0.00278144i | ||||
\(377\) | 18.5803 | + | 21.4428i | 0.956934 | + | 1.10436i | ||||
\(378\) | −9.92592 | − | 17.6043i | −0.510534 | − | 0.905465i | ||||
\(379\) | −19.8803 | − | 2.85836i | −1.02118 | − | 0.146824i | −0.388672 | − | 0.921376i | \(-0.627066\pi\) |
−0.632510 | + | 0.774552i | \(0.717975\pi\) | |||||||
\(380\) | 5.49304 | − | 12.9487i | 0.281787 | − | 0.664253i | ||||
\(381\) | 0.0312596 | + | 0.0962810i | 0.00160148 | + | 0.00493262i | ||||
\(382\) | −6.07837 | − | 7.01481i | −0.310996 | − | 0.358909i | ||||
\(383\) | 3.70570 | − | 1.69234i | 0.189353 | − | 0.0864744i | −0.318483 | − | 0.947929i | \(-0.603173\pi\) |
0.507835 | + | 0.861454i | \(0.330446\pi\) | |||||||
\(384\) | 0.197826 | − | 1.72072i | 0.0100953 | − | 0.0878099i | ||||
\(385\) | −13.9382 | + | 23.0425i | −0.710354 | + | 1.17435i | ||||
\(386\) | −11.3768 | − | 9.85809i | −0.579066 | − | 0.501764i | ||||
\(387\) | −2.73547 | − | 5.18995i | −0.139052 | − | 0.263820i | ||||
\(388\) | −3.04921 | + | 6.67684i | −0.154800 | + | 0.338965i | ||||
\(389\) | −3.98456 | − | 27.7132i | −0.202025 | − | 1.40512i | −0.798263 | − | 0.602309i | \(-0.794248\pi\) |
0.596238 | − | 0.802808i | \(-0.296661\pi\) | |||||||
\(390\) | 21.7094 | − | 15.7201i | 1.09930 | − | 0.796016i | ||||
\(391\) | 13.4785 | − | 14.1471i | 0.681639 | − | 0.715451i | ||||
\(392\) | 8.12717 | 0.410484 | ||||||||
\(393\) | −2.80379 | + | 4.64720i | −0.141433 | + | 0.234420i | ||||
\(394\) | −8.76433 | + | 19.1912i | −0.441540 | + | 0.966839i | ||||
\(395\) | −4.47638 | + | 0.121753i | −0.225231 | + | 0.00612605i | ||||
\(396\) | −8.08679 | − | 4.57162i | −0.406377 | − | 0.229733i | ||||
\(397\) | −5.84209 | + | 19.8963i | −0.293206 | + | 0.998569i | 0.672752 | + | 0.739868i | \(0.265112\pi\) |
−0.965958 | + | 0.258700i | \(0.916706\pi\) | |||||||
\(398\) | −9.68517 | − | 15.0704i | −0.485473 | − | 0.755411i | ||||
\(399\) | −10.7818 | + | 40.9807i | −0.539765 | + | 2.05160i | ||||
\(400\) | 0.979544 | + | 4.90311i | 0.0489772 | + | 0.245156i | ||||
\(401\) | 1.55169 | + | 0.997211i | 0.0774878 | + | 0.0497984i | 0.578811 | − | 0.815462i | \(-0.303517\pi\) |
−0.501323 | + | 0.865260i | \(0.667153\pi\) | |||||||
\(402\) | −1.03275 | − | 1.12576i | −0.0515087 | − | 0.0561478i | ||||
\(403\) | 75.8472 | + | 10.9052i | 3.77822 | + | 0.543226i | ||||
\(404\) | −0.820161 | + | 1.27620i | −0.0408045 | + | 0.0634931i | ||||
\(405\) | −13.2133 | + | 15.1792i | −0.656573 | + | 0.754263i | ||||
\(406\) | 14.5046 | − | 6.62401i | 0.719849 | − | 0.328744i | ||||
\(407\) | 8.49764 | − | 5.46110i | 0.421212 | − | 0.270697i | ||||
\(408\) | 3.98198 | + | 5.82627i | 0.197137 | + | 0.288443i | ||||
\(409\) | −16.9181 | + | 19.5245i | −0.836546 | + | 0.965426i | −0.999776 | − | 0.0211623i | \(-0.993263\pi\) |
0.163230 | + | 0.986588i | \(0.447809\pi\) | |||||||
\(410\) | −12.7080 | + | 0.345643i | −0.627601 | + | 0.0170701i | ||||
\(411\) | −8.70191 | + | 4.27601i | −0.429234 | + | 0.210920i | ||||
\(412\) | −0.147933 | − | 1.02890i | −0.00728814 | − | 0.0506901i | ||||
\(413\) | − | 34.6514i | − | 1.70509i | ||||||
\(414\) | −7.89271 | − | 12.0293i | −0.387906 | − | 0.591210i | ||||
\(415\) | 7.35141 | + | 1.94310i | 0.360867 | + | 0.0953831i | ||||
\(416\) | −6.85015 | + | 0.984903i | −0.335856 | + | 0.0482888i | ||||
\(417\) | −11.7122 | − | 23.8349i | −0.573548 | − | 1.16720i | ||||
\(418\) | 5.48763 | + | 18.6891i | 0.268409 | + | 0.914115i | ||||
\(419\) | −23.5242 | + | 27.1484i | −1.14923 | + | 1.32629i | −0.212126 | + | 0.977242i | \(0.568039\pi\) |
−0.937107 | + | 0.349043i | \(0.886507\pi\) | |||||||
\(420\) | −5.03946 | − | 14.1955i | −0.245901 | − | 0.692668i | ||||
\(421\) | −3.47833 | − | 5.41238i | −0.169523 | − | 0.263783i | 0.746089 | − | 0.665847i | \(-0.231930\pi\) |
−0.915612 | + | 0.402063i | \(0.868293\pi\) | |||||||
\(422\) | 4.28924 | + | 9.39213i | 0.208797 | + | 0.457202i | ||||
\(423\) | −0.108684 | + | 0.140812i | −0.00528437 | + | 0.00684653i | ||||
\(424\) | 1.92485 | − | 2.99513i | 0.0934791 | − | 0.145456i | ||||
\(425\) | −16.0984 | − | 12.4841i | −0.780889 | − | 0.605569i | ||||
\(426\) | −3.99047 | + | 3.66076i | −0.193339 | + | 0.177365i | ||||
\(427\) | −19.9533 | + | 31.0479i | −0.965607 | + | 1.50251i | ||||
\(428\) | −4.46908 | + | 3.87248i | −0.216021 | + | 0.187183i | ||||
\(429\) | −9.44400 | + | 35.8959i | −0.455961 | + | 1.73307i | ||||
\(430\) | −1.34558 | − | 4.16062i | −0.0648895 | − | 0.200643i | ||||
\(431\) | −22.0281 | − | 6.46803i | −1.06106 | − | 0.311554i | −0.295780 | − | 0.955256i | \(-0.595579\pi\) |
−0.765276 | + | 0.643702i | \(0.777398\pi\) | |||||||
\(432\) | 4.84338 | − | 1.88194i | 0.233027 | − | 0.0905447i | ||||
\(433\) | −8.60130 | + | 2.52557i | −0.413352 | + | 0.121371i | −0.481795 | − | 0.876284i | \(-0.660015\pi\) |
0.0684429 | + | 0.997655i | \(0.478197\pi\) | |||||||
\(434\) | 17.8896 | − | 39.1727i | 0.858728 | − | 1.88035i | ||||
\(435\) | −11.0481 | − | 11.4045i | −0.529715 | − | 0.546804i | ||||
\(436\) | − | 7.35534i | − | 0.352257i | ||||||
\(437\) | −5.69743 | + | 29.6245i | −0.272545 | + | 1.41713i | ||||
\(438\) | 13.8170 | + | 11.3033i | 0.660201 | + | 0.540091i | ||||
\(439\) | −4.85549 | − | 33.7707i | −0.231740 | − | 1.61179i | −0.690573 | − | 0.723263i | \(-0.742642\pi\) |
0.458833 | − | 0.888522i | \(-0.348268\pi\) | |||||||
\(440\) | −5.35418 | − | 4.39032i | −0.255250 | − | 0.209300i | ||||
\(441\) | 11.3683 | + | 21.5689i | 0.541350 | + | 1.02709i | ||||
\(442\) | 18.4652 | − | 21.3099i | 0.878298 | − | 1.01361i | ||||
\(443\) | 16.3352 | + | 4.79646i | 0.776111 | + | 0.227887i | 0.645718 | − | 0.763576i | \(-0.276558\pi\) |
0.130392 | + | 0.991462i | \(0.458376\pi\) | |||||||
\(444\) | −0.645329 | + | 5.61315i | −0.0306259 | + | 0.266389i | ||||
\(445\) | 5.77073 | − | 0.990538i | 0.273559 | − | 0.0469560i | ||||
\(446\) | 11.9895 | − | 10.3889i | 0.567718 | − | 0.491930i | ||||
\(447\) | −19.5031 | + | 6.33210i | −0.922466 | + | 0.299498i | ||||
\(448\) | −0.553514 | + | 3.84978i | −0.0261511 | + | 0.181885i | ||||
\(449\) | 22.6021 | + | 3.24969i | 1.06666 | + | 0.153363i | 0.653220 | − | 0.757169i | \(-0.273418\pi\) |
0.413440 | + | 0.910531i | \(0.364327\pi\) | |||||||
\(450\) | −11.6423 | + | 9.45815i | −0.548824 | + | 0.445862i | ||||
\(451\) | 13.3046 | − | 11.5285i | 0.626491 | − | 0.542858i | ||||
\(452\) | 8.85989 | − | 4.04618i | 0.416734 | − | 0.190316i | ||||
\(453\) | 1.43649 | − | 12.4948i | 0.0674924 | − | 0.587058i | ||||
\(454\) | 6.47392 | − | 22.0481i | 0.303836 | − | 1.03477i | ||||
\(455\) | −49.7296 | + | 33.9045i | −2.33136 | + | 1.58947i | ||||
\(456\) | −10.0349 | − | 4.24342i | −0.469925 | − | 0.198717i | ||||
\(457\) | −2.79666 | + | 6.12384i | −0.130822 | + | 0.286461i | −0.963696 | − | 0.267002i | \(-0.913967\pi\) |
0.832874 | + | 0.553463i | \(0.186694\pi\) | |||||||
\(458\) | 4.66940 | − | 0.671359i | 0.218187 | − | 0.0313705i | ||||
\(459\) | −9.89248 | + | 18.7177i | −0.461741 | + | 0.873669i | ||||
\(460\) | −4.25876 | − | 9.84190i | −0.198566 | − | 0.458881i | ||||
\(461\) | − | 8.00136i | − | 0.372660i | −0.982487 | − | 0.186330i | \(-0.940341\pi\) | ||
0.982487 | − | 0.186330i | \(-0.0596594\pi\) | |||||||
\(462\) | 17.8610 | + | 10.7760i | 0.830968 | + | 0.501347i | ||||
\(463\) | −8.61939 | − | 3.93634i | −0.400577 | − | 0.182937i | 0.204931 | − | 0.978776i | \(-0.434303\pi\) |
−0.605508 | + | 0.795839i | \(0.707030\pi\) | |||||||
\(464\) | 1.15504 | + | 3.93371i | 0.0536214 | + | 0.182618i | ||||
\(465\) | −42.7198 | − | 3.73775i | −1.98108 | − | 0.173334i | ||||
\(466\) | −6.48839 | − | 1.90516i | −0.300569 | − | 0.0882550i | ||||
\(467\) | −21.2878 | − | 33.1245i | −0.985084 | − | 1.53282i | −0.839418 | − | 0.543486i | \(-0.817104\pi\) |
−0.145666 | − | 0.989334i | \(-0.546532\pi\) | |||||||
\(468\) | −12.1959 | − | 16.8021i | −0.563756 | − | 0.776678i | ||||
\(469\) | 2.24651 | + | 2.59261i | 0.103734 | + | 0.119716i | ||||
\(470\) | −0.0978009 | + | 0.0895147i | −0.00451122 | + | 0.00412900i | ||||
\(471\) | 8.16353 | + | 8.89877i | 0.376156 | + | 0.410034i | ||||
\(472\) | 8.81859 | + | 1.26792i | 0.405909 | + | 0.0583608i | ||||
\(473\) | 5.09418 | + | 3.27383i | 0.234231 | + | 0.150531i | ||||
\(474\) | 0.0982718 | + | 3.46728i | 0.00451377 | + | 0.159257i | ||||
\(475\) | 31.3288 | + | 2.77719i | 1.43746 | + | 0.127426i | ||||
\(476\) | −8.56739 | − | 13.3311i | −0.392686 | − | 0.611031i | ||||
\(477\) | 10.6414 | + | 0.918809i | 0.487234 | + | 0.0420694i | ||||
\(478\) | −12.6529 | − | 10.9638i | −0.578732 | − | 0.501474i | ||||
\(479\) | 11.9612 | − | 3.51212i | 0.546521 | − | 0.160473i | 0.00319509 | − | 0.999995i | \(-0.498983\pi\) |
0.543326 | + | 0.839522i | \(0.317165\pi\) | |||||||
\(480\) | 3.79706 | − | 0.763091i | 0.173311 | − | 0.0348302i | ||||
\(481\) | 22.3459 | − | 3.21286i | 1.01889 | − | 0.146494i | ||||
\(482\) | − | 9.46828i | − | 0.431268i | ||||||
\(483\) | 16.9509 | + | 27.5035i | 0.771292 | + | 1.25145i | ||||
\(484\) | −1.41157 | −0.0641622 | ||||||||
\(485\) | −16.3035 | − | 1.89325i | −0.740305 | − | 0.0859681i | ||||
\(486\) | 11.7695 | + | 10.2215i | 0.533875 | + | 0.463657i | ||||
\(487\) | −6.93653 | − | 23.6237i | −0.314324 | − | 1.07049i | −0.953491 | − | 0.301422i | \(-0.902539\pi\) |
0.639167 | − | 0.769068i | \(-0.279279\pi\) | |||||||
\(488\) | −7.17141 | − | 6.21406i | −0.324635 | − | 0.281298i | ||||
\(489\) | 19.6167 | + | 28.7023i | 0.887096 | + | 1.29796i | ||||
\(490\) | 5.59209 | + | 17.2911i | 0.252625 | + | 0.781133i | ||||
\(491\) | 36.6099 | − | 16.7192i | 1.65218 | − | 0.754527i | 0.652189 | − | 0.758056i | \(-0.273851\pi\) |
0.999994 | + | 0.00352921i | \(0.00112338\pi\) | |||||||
\(492\) | 0.278983 | + | 9.84323i | 0.0125775 | + | 0.443767i | ||||
\(493\) | −14.0523 | − | 9.03088i | −0.632885 | − | 0.406730i | ||||
\(494\) | −6.19537 | + | 43.0897i | −0.278743 | + | 1.93870i | ||||
\(495\) | 4.16213 | − | 20.3508i | 0.187074 | − | 0.914702i | ||||
\(496\) | 9.31465 | + | 5.98616i | 0.418240 | + | 0.268786i | ||||
\(497\) | 9.18999 | − | 7.96317i | 0.412228 | − | 0.357197i | ||||
\(498\) | 1.49861 | − | 5.69610i | 0.0671544 | − | 0.255248i | ||||
\(499\) | 13.6364 | − | 8.76357i | 0.610448 | − | 0.392311i | −0.198577 | − | 0.980085i | \(-0.563632\pi\) |
0.809025 | + | 0.587774i | \(0.199996\pi\) | |||||||
\(500\) | −9.75771 | + | 5.45775i | −0.436378 | + | 0.244078i | ||||
\(501\) | −6.03820 | − | 34.9382i | −0.269767 | − | 1.56092i | ||||
\(502\) | −10.5212 | + | 3.08929i | −0.469583 | + | 0.137882i | ||||
\(503\) | 1.43498 | + | 0.655332i | 0.0639824 | + | 0.0292198i | 0.447149 | − | 0.894459i | \(-0.352439\pi\) |
−0.383167 | + | 0.923679i | \(0.625167\pi\) | |||||||
\(504\) | −10.9913 | + | 3.91611i | −0.489591 | + | 0.174438i | ||||
\(505\) | −3.27953 | − | 0.866833i | −0.145937 | − | 0.0385736i | ||||
\(506\) | 13.2023 | + | 6.79959i | 0.586912 | + | 0.302279i | ||||
\(507\) | −38.2693 | + | 46.7799i | −1.69960 | + | 2.07757i | ||||
\(508\) | 0.0578494 | − | 0.00831748i | 0.00256665 | − | 0.000369029i | ||||
\(509\) | 5.21326 | + | 2.38082i | 0.231074 | + | 0.105528i | 0.527587 | − | 0.849501i | \(-0.323097\pi\) |
−0.296514 | + | 0.955029i | \(0.595824\pi\) | |||||||
\(510\) | −9.65591 | + | 12.4808i | −0.427571 | + | 0.552661i | ||||
\(511\) | −30.2948 | − | 26.2506i | −1.34016 | − | 1.16126i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −2.77509 | − | 32.5675i | −0.122523 | − | 1.43789i | ||||
\(514\) | 5.11911 | + | 11.2093i | 0.225794 | + | 0.494420i | ||||
\(515\) | 2.08726 | − | 1.02269i | 0.0919757 | − | 0.0450653i | ||||
\(516\) | −3.22161 | + | 1.04596i | −0.141823 | + | 0.0460459i | ||||
\(517\) | 0.0261290 | − | 0.181731i | 0.00114915 | − | 0.00799252i | ||||
\(518\) | 1.80562 | − | 12.5584i | 0.0793345 | − | 0.551783i | ||||
\(519\) | −6.54700 | + | 2.12562i | −0.287381 | + | 0.0933044i | ||||
\(520\) | −6.80886 | − | 13.8965i | −0.298588 | − | 0.609401i | ||||
\(521\) | 6.54182 | + | 14.3246i | 0.286602 | + | 0.627572i | 0.997098 | − | 0.0761300i | \(-0.0242564\pi\) |
−0.710495 | + | 0.703702i | \(0.751529\pi\) | |||||||
\(522\) | −8.82410 | + | 8.56790i | −0.386220 | + | 0.375007i | ||||
\(523\) | −26.0194 | − | 7.63999i | −1.13775 | − | 0.334074i | −0.342001 | − | 0.939700i | \(-0.611105\pi\) |
−0.795749 | + | 0.605626i | \(0.792923\pi\) | |||||||
\(524\) | 2.36819 | + | 2.05205i | 0.103455 | + | 0.0896442i | ||||
\(525\) | 26.7343 | − | 20.4893i | 1.16678 | − | 0.894228i | ||||
\(526\) | 0.990489 | + | 0.452341i | 0.0431874 | + | 0.0197230i | ||||
\(527\) | −44.6537 | + | 6.42023i | −1.94515 | + | 0.279670i | ||||
\(528\) | −3.39599 | + | 4.15121i | −0.147791 | + | 0.180658i | ||||
\(529\) | 13.3562 | + | 18.7246i | 0.580705 | + | 0.814114i | ||||
\(530\) | 7.69679 | + | 2.03439i | 0.334327 | + | 0.0883682i | ||||
\(531\) | 8.97054 | + | 25.1775i | 0.389288 | + | 1.09261i | ||||
\(532\) | 22.2545 | + | 10.1633i | 0.964856 | + | 0.440635i | ||||
\(533\) | 37.7517 | − | 11.0849i | 1.63521 | − | 0.480140i | ||||
\(534\) | −0.772375 | − | 4.46911i | −0.0334239 | − | 0.193397i | ||||
\(535\) | −11.3140 | − | 6.84373i | −0.489148 | − | 0.295880i | ||||
\(536\) | −0.742006 | + | 0.476858i | −0.0320498 | + | 0.0205971i | ||||
\(537\) | 11.1853 | − | 42.5146i | 0.482683 | − | 1.83464i | ||||
\(538\) | −11.1196 | + | 9.63521i | −0.479401 | + | 0.415403i | ||||
\(539\) | −21.1709 | − | 13.6057i | −0.911896 | − | 0.586040i | ||||
\(540\) | 7.33655 | + | 9.00972i | 0.315715 | + | 0.387716i | ||||
\(541\) | −2.08162 | + | 14.4780i | −0.0894960 | + | 0.622459i | 0.894870 | + | 0.446326i | \(0.147268\pi\) |
−0.984366 | + | 0.176133i | \(0.943641\pi\) | |||||||
\(542\) | 1.08189 | + | 0.695286i | 0.0464710 | + | 0.0298651i | ||||
\(543\) | 0.183104 | + | 6.46038i | 0.00785775 | + | 0.277242i | ||||
\(544\) | 3.70618 | − | 1.69256i | 0.158901 | − | 0.0725678i | ||||
\(545\) | 15.6490 | − | 5.06102i | 0.670329 | − | 0.216790i | ||||
\(546\) | 26.3063 | + | 38.4903i | 1.12581 | + | 1.64723i | ||||
\(547\) | 14.5284 | + | 12.5889i | 0.621189 | + | 0.538263i | 0.907596 | − | 0.419845i | \(-0.137916\pi\) |
−0.286407 | + | 0.958108i | \(0.592461\pi\) | |||||||
\(548\) | 1.57709 | + | 5.37109i | 0.0673701 | + | 0.229442i | ||||
\(549\) | 6.46025 | − | 27.7247i | 0.275717 | − | 1.18326i | ||||
\(550\) | 5.65665 | − | 14.4123i | 0.241200 | − | 0.614541i | ||||
\(551\) | 25.7890 | 1.09865 | ||||||||
\(552\) | −7.61973 | + | 3.30753i | −0.324317 | + | 0.140778i | ||||
\(553\) | − | 7.78900i | − | 0.331222i | ||||||
\(554\) | 10.5375 | − | 1.51507i | 0.447697 | − | 0.0643691i | ||||
\(555\) | −12.3864 | + | 2.48928i | −0.525774 | + | 0.105664i | ||||
\(556\) | −14.7117 | + | 4.31973i | −0.623913 | + | 0.183197i | ||||
\(557\) | −1.57344 | − | 1.36339i | −0.0666688 | − | 0.0577688i | 0.620889 | − | 0.783898i | \(-0.286772\pi\) |
−0.687558 | + | 0.726130i | \(0.741317\pi\) | |||||||
\(558\) | −2.85743 | + | 33.0939i | −0.120965 | + | 1.40098i | ||||
\(559\) | 7.31688 | + | 11.3853i | 0.309471 | + | 0.481547i | ||||
\(560\) | −8.57153 | + | 1.47129i | −0.362213 | + | 0.0621734i | ||||
\(561\) | −0.619100 | − | 21.8434i | −0.0261384 | − | 0.922231i | ||||
\(562\) | −11.5999 | − | 7.45479i | −0.489311 | − | 0.314461i | ||||
\(563\) | 36.3901 | + | 5.23210i | 1.53366 | + | 0.220507i | 0.856817 | − | 0.515621i | \(-0.172439\pi\) |
0.676842 | + | 0.736128i | \(0.263348\pi\) | |||||||
\(564\) | 0.0694243 | + | 0.0756769i | 0.00292329 | + | 0.00318657i | ||||
\(565\) | 14.7048 | + | 16.0660i | 0.618635 | + | 0.675901i | ||||
\(566\) | −4.43001 | − | 5.11250i | −0.186207 | − | 0.214894i | ||||
\(567\) | −25.7678 | − | 23.6922i | −1.08215 | − | 0.994980i | ||||
\(568\) | 1.69031 | + | 2.63018i | 0.0709240 | + | 0.110360i | ||||
\(569\) | 36.7844 | + | 10.8009i | 1.54208 | + | 0.452796i | 0.938723 | − | 0.344672i | \(-0.112010\pi\) |
0.603360 | + | 0.797469i | \(0.293828\pi\) | |||||||
\(570\) | 2.12346 | − | 24.2696i | 0.0889421 | − | 1.01654i | ||||
\(571\) | 0.861118 | + | 2.93270i | 0.0360367 | + | 0.122730i | 0.975547 | − | 0.219791i | \(-0.0705375\pi\) |
−0.939510 | + | 0.342521i | \(0.888719\pi\) | |||||||
\(572\) | 19.4932 | + | 8.90224i | 0.815051 | + | 0.372221i | ||||
\(573\) | −13.7655 | − | 8.30510i | −0.575060 | − | 0.346950i | ||||
\(574\) | − | 22.1121i | − | 0.922942i | ||||||
\(575\) | 18.0090 | − | 15.8328i | 0.751027 | − | 0.660272i | ||||
\(576\) | −0.594449 | − | 2.94052i | −0.0247687 | − | 0.122521i | ||||
\(577\) | 22.7444 | − | 3.27014i | 0.946860 | − | 0.136138i | 0.348449 | − | 0.937328i | \(-0.386708\pi\) |
0.598410 | + | 0.801190i | \(0.295799\pi\) | |||||||
\(578\) | 0.165945 | − | 0.363368i | 0.00690239 | − | 0.0151141i | ||||
\(579\) | −24.0149 | − | 10.1552i | −0.998026 | − | 0.422034i | ||||
\(580\) | −7.57448 | + | 5.16411i | −0.314513 | + | 0.214428i | ||||
\(581\) | −3.72620 | + | 12.6903i | −0.154589 | + | 0.526481i | ||||
\(582\) | −1.45207 | + | 12.6303i | −0.0601903 | + | 0.523543i | ||||
\(583\) | −10.0283 | + | 4.57978i | −0.415331 | + | 0.189675i | ||||
\(584\) | 7.78915 | − | 6.74933i | 0.322317 | − | 0.279289i | ||||
\(585\) | 27.3560 | − | 37.5088i | 1.13103 | − | 1.55080i | ||||
\(586\) | 28.6469 | + | 4.11881i | 1.18339 | + | 0.170146i | ||||
\(587\) | −1.82472 | + | 12.6912i | −0.0753141 | + | 0.523821i | 0.916884 | + | 0.399153i | \(0.130696\pi\) |
−0.992198 | + | 0.124668i | \(0.960213\pi\) | |||||||
\(588\) | 13.3887 | − | 4.34692i | 0.552140 | − | 0.179264i | ||||
\(589\) | 52.6370 | − | 45.6102i | 2.16887 | − | 1.87934i | ||||
\(590\) | 3.37025 | + | 19.6346i | 0.138751 | + | 0.808343i | ||||
\(591\) | −4.17368 | + | 36.3033i | −0.171682 | + | 1.49332i | ||||
\(592\) | 3.12997 | + | 0.919041i | 0.128641 | + | 0.0377723i | ||||
\(593\) | −17.3570 | + | 20.0311i | −0.712767 | + | 0.822578i | −0.990418 | − | 0.138105i | \(-0.955899\pi\) |
0.277650 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(594\) | −15.7674 | − | 3.20596i | −0.646942 | − | 0.131542i | ||||
\(595\) | 22.4679 | − | 27.4005i | 0.921094 | − | 1.12331i | ||||
\(596\) | 1.68483 | + | 11.7182i | 0.0690132 | + | 0.479997i | ||||
\(597\) | −24.0159 | − | 19.6467i | −0.982907 | − | 0.804088i | ||||
\(598\) | 20.5271 | + | 26.0809i | 0.839414 | + | 1.06653i | ||||
\(599\) | 46.4114i | 1.89632i | 0.317794 | + | 0.948160i | \(0.397058\pi\) | ||||
−0.317794 | + | 0.948160i | \(0.602942\pi\) | |||||||
\(600\) | 4.23619 | + | 7.55346i | 0.172942 | + | 0.308369i | ||||
\(601\) | −16.1427 | + | 35.3475i | −0.658473 | + | 1.44186i | 0.225465 | + | 0.974251i | \(0.427610\pi\) |
−0.883938 | + | 0.467604i | \(0.845117\pi\) | |||||||
\(602\) | 7.29784 | − | 2.14284i | 0.297438 | − | 0.0873356i | ||||
\(603\) | −2.30347 | − | 1.30220i | −0.0938046 | − | 0.0530296i | ||||
\(604\) | −6.96727 | − | 2.04577i | −0.283494 | − | 0.0832414i | ||||
\(605\) | −0.971263 | − | 3.00321i | −0.0394875 | − | 0.122098i | ||||
\(606\) | −0.668543 | + | 2.54108i | −0.0271577 | + | 0.103224i | ||||
\(607\) | 21.3219 | − | 18.4755i | 0.865430 | − | 0.749899i | −0.104179 | − | 0.994559i | \(-0.533222\pi\) |
0.969609 | + | 0.244659i | \(0.0786761\pi\) | |||||||
\(608\) | −3.40081 | + | 5.29176i | −0.137921 | + | 0.214609i | ||||
\(609\) | 20.3519 | − | 18.6703i | 0.824699 | − | 0.756560i | ||||
\(610\) | 8.28640 | − | 19.5334i | 0.335506 | − | 0.790885i | ||||
\(611\) | 0.221845 | − | 0.345198i | 0.00897490 | − | 0.0139652i | ||||
\(612\) | 9.67616 | + | 7.46838i | 0.391136 | + | 0.301891i | ||||
\(613\) | −5.44547 | − | 11.9239i | −0.219941 | − | 0.481603i | 0.767210 | − | 0.641396i | \(-0.221644\pi\) |
−0.987150 | + | 0.159793i | \(0.948917\pi\) | |||||||
\(614\) | 6.44978 | + | 10.0360i | 0.260292 | + | 0.405022i | ||||
\(615\) | −20.7502 | + | 7.36642i | −0.836729 | + | 0.297043i | ||||
\(616\) | 7.88681 | − | 9.10187i | 0.317769 | − | 0.366725i | ||||
\(617\) | 8.99330 | + | 30.6284i | 0.362057 | + | 1.23305i | 0.916231 | + | 0.400651i | \(0.131216\pi\) |
−0.554174 | + | 0.832401i | \(0.686966\pi\) | |||||||
\(618\) | −0.794023 | − | 1.61588i | −0.0319403 | − | 0.0650002i | ||||
\(619\) | −11.9617 | + | 1.71984i | −0.480782 | + | 0.0691260i | −0.378445 | − | 0.925624i | \(-0.623541\pi\) |
−0.102337 | + | 0.994750i | \(0.532632\pi\) | |||||||
\(620\) | −6.32681 | + | 23.9365i | −0.254091 | + | 0.961312i | ||||
\(621\) | −19.4365 | − | 15.5956i | −0.779959 | − | 0.625830i | ||||
\(622\) | 23.4641i | 0.940824i | ||||||||
\(623\) | 1.44937 | + | 10.0806i | 0.0580679 | + | 0.403871i | ||||
\(624\) | −10.7581 | + | 5.28642i | −0.430670 | + | 0.211626i | ||||
\(625\) | −18.3258 | − | 17.0049i | −0.733031 | − | 0.680195i | ||||
\(626\) | −3.86747 | + | 4.46330i | −0.154575 | + | 0.178389i | ||||
\(627\) | 19.0364 | + | 27.8533i | 0.760242 | + | 1.11235i | ||||
\(628\) | 5.86532 | − | 3.76941i | 0.234052 | − | 0.150416i | ||||
\(629\) | −12.0899 | + | 5.52129i | −0.482058 | + | 0.220148i | ||||
\(630\) | −15.8946 | − | 20.6902i | −0.633257 | − | 0.824316i | ||||
\(631\) | −11.7163 | + | 18.2310i | −0.466419 | + | 0.725763i | −0.992173 | − | 0.124874i | \(-0.960147\pi\) |
0.525753 | + | 0.850637i | \(0.323784\pi\) | |||||||
\(632\) | 1.98226 | + | 0.285005i | 0.0788499 | + | 0.0113369i | ||||
\(633\) | 12.0896 | + | 13.1784i | 0.480518 | + | 0.523796i | ||||
\(634\) | −2.86093 | − | 1.83861i | −0.113622 | − | 0.0730205i | ||||
\(635\) | 0.0575007 | + | 0.117356i | 0.00228184 | + | 0.00465711i | ||||
\(636\) | 1.56902 | − | 5.96370i | 0.0622156 | − | 0.236476i | ||||
\(637\) | −30.4082 | − | 47.3161i | −1.20482 | − | 1.87473i | ||||
\(638\) | 3.57661 | − | 12.1808i | 0.141599 | − | 0.482242i | ||||
\(639\) | −4.61588 | + | 8.16509i | −0.182601 | + | 0.323006i | ||||
\(640\) | −0.0607961 | − | 2.23524i | −0.00240318 | − | 0.0883557i | ||||
\(641\) | 13.5137 | − | 29.5909i | 0.533760 | − | 1.16877i | −0.430202 | − | 0.902733i | \(-0.641558\pi\) |
0.963962 | − | 0.266039i | \(-0.0857150\pi\) | |||||||
\(642\) | −5.29111 | + | 8.76986i | −0.208823 | + | 0.346119i | ||||
\(643\) | 24.9681 | 0.984645 | 0.492322 | − | 0.870413i | \(-0.336148\pi\) | ||||
0.492322 | + | 0.870413i | \(0.336148\pi\) | |||||||
\(644\) | 17.3139 | − | 6.93941i | 0.682261 | − | 0.273451i | ||||
\(645\) | −4.44206 | − | 6.13450i | −0.174906 | − | 0.241546i | ||||
\(646\) | −3.64741 | − | 25.3683i | −0.143506 | − | 0.998103i | ||||
\(647\) | 5.53086 | − | 12.1109i | 0.217441 | − | 0.476128i | −0.769207 | − | 0.639000i | \(-0.779348\pi\) |
0.986647 | + | 0.162872i | \(0.0520757\pi\) | |||||||
\(648\) | 6.97240 | − | 5.69084i | 0.273902 | − | 0.223557i | ||||
\(649\) | −20.8494 | − | 18.0661i | −0.818411 | − | 0.709158i | ||||
\(650\) | 24.8808 | − | 24.0481i | 0.975904 | − | 0.943245i | ||||
\(651\) | 8.51925 | − | 74.1016i | 0.333896 | − | 2.90427i | ||||
\(652\) | 18.2580 | − | 8.33814i | 0.715037 | − | 0.326547i | ||||
\(653\) | −7.50657 | − | 8.66305i | −0.293755 | − | 0.339011i | 0.589618 | − | 0.807682i | \(-0.299278\pi\) |
−0.883373 | + | 0.468671i | \(0.844733\pi\) | |||||||
\(654\) | −3.93410 | − | 12.1172i | −0.153835 | − | 0.473819i | ||||
\(655\) | −2.73639 | + | 6.45046i | −0.106920 | + | 0.252040i | ||||
\(656\) | 5.62741 | + | 0.809099i | 0.219713 | + | 0.0315900i | ||||
\(657\) | 28.8078 | + | 11.2308i | 1.12390 | + | 0.438156i | ||||
\(658\) | −0.151017 | − | 0.174283i | −0.00588726 | − | 0.00679426i | ||||
\(659\) | 4.80090 | + | 10.5125i | 0.187016 | + | 0.409509i | 0.979796 | − | 0.200000i | \(-0.0640941\pi\) |
−0.792780 | + | 0.609509i | \(0.791367\pi\) | |||||||
\(660\) | −11.1687 | − | 4.36886i | −0.434740 | − | 0.170058i | ||||
\(661\) | 9.21117 | − | 31.3704i | 0.358273 | − | 1.22017i | −0.561421 | − | 0.827530i | \(-0.689745\pi\) |
0.919694 | − | 0.392636i | \(-0.128437\pi\) | |||||||
\(662\) | −7.67572 | + | 8.85825i | −0.298325 | + | 0.344286i | ||||
\(663\) | 19.0216 | − | 44.9823i | 0.738738 | − | 1.74697i | ||||
\(664\) | −3.09326 | − | 1.41264i | −0.120042 | − | 0.0548212i | ||||
\(665\) | −6.31038 | + | 54.3411i | −0.244706 | + | 2.10726i | ||||
\(666\) | 1.93915 | + | 9.59227i | 0.0751407 | + | 0.371693i | ||||
\(667\) | 13.5626 | − | 14.2353i | 0.525144 | − | 0.551194i | ||||
\(668\) | −20.4706 | −0.792032 | ||||||||
\(669\) | 14.1948 | − | 23.5274i | 0.548802 | − | 0.909623i | ||||
\(670\) | −1.52510 | − | 1.25056i | −0.0589199 | − | 0.0483132i | ||||
\(671\) | 8.27823 | + | 28.1931i | 0.319578 | + | 1.08838i | ||||
\(672\) | 1.14724 | + | 6.63817i | 0.0442559 | + | 0.256073i | ||||
\(673\) | −9.85049 | + | 33.5477i | −0.379709 | + | 1.29317i | 0.519057 | + | 0.854739i | \(0.326283\pi\) |
−0.898766 | + | 0.438429i | \(0.855535\pi\) | |||||||
\(674\) | −26.6326 | + | 17.1158i | −1.02585 | + | 0.659274i | ||||
\(675\) | −14.1207 | + | 21.8084i | −0.543506 | + | 0.839405i | ||||
\(676\) | 22.8511 | + | 26.3716i | 0.878889 | + | 1.01429i | ||||
\(677\) | −1.18472 | + | 1.84345i | −0.0455323 | + | 0.0708497i | −0.863273 | − | 0.504736i | \(-0.831590\pi\) |
0.817741 | + | 0.575586i | \(0.195226\pi\) | |||||||
\(678\) | 12.4316 | − | 11.4045i | 0.477434 | − | 0.437987i | ||||
\(679\) | 4.06288 | − | 28.2579i | 0.155919 | − | 1.08444i | ||||
\(680\) | 6.15116 | + | 6.72056i | 0.235886 | + | 0.257722i | ||||
\(681\) | −1.12760 | − | 39.7847i | −0.0432098 | − | 1.52455i | ||||
\(682\) | −14.2428 | − | 31.1874i | −0.545385 | − | 1.19423i | ||||
\(683\) | −4.18302 | + | 2.68827i | −0.160059 | + | 0.102864i | −0.618218 | − | 0.786006i | \(-0.712145\pi\) |
0.458159 | + | 0.888870i | \(0.348509\pi\) | |||||||
\(684\) | −18.8010 | − | 1.62334i | −0.718876 | − | 0.0620701i | ||||
\(685\) | −10.3422 | + | 7.05108i | −0.395156 | + | 0.269408i | ||||
\(686\) | −4.20638 | + | 1.23511i | −0.160600 | + | 0.0471565i | ||||
\(687\) | 7.33328 | − | 3.60348i | 0.279782 | − | 0.137481i | ||||
\(688\) | 0.278307 | + | 1.93567i | 0.0106104 | + | 0.0737966i | ||||
\(689\) | −24.6395 | −0.938690 | ||||||||
\(690\) | −12.2799 | − | 13.9357i | −0.467489 | − | 0.530522i | ||||
\(691\) | 32.8336 | 1.24905 | 0.624525 | − | 0.781005i | \(-0.285293\pi\) | ||||
0.624525 | + | 0.781005i | \(0.285293\pi\) | |||||||
\(692\) | 0.565579 | + | 3.93369i | 0.0215001 | + | 0.149536i | ||||
\(693\) | 35.1878 | + | 8.19927i | 1.33668 | + | 0.311464i | ||||
\(694\) | 14.2502 | − | 4.18425i | 0.540931 | − | 0.158832i | ||||
\(695\) | −19.3132 | − | 28.3278i | −0.732593 | − | 1.07453i | ||||
\(696\) | 4.00680 | + | 5.86259i | 0.151878 | + | 0.222221i | ||||
\(697\) | −19.4867 | + | 12.5234i | −0.738113 | + | 0.474356i | ||||
\(698\) | 4.85198 | + | 10.6244i | 0.183650 | + | 0.402138i | ||||
\(699\) | −11.7080 | + | 0.331834i | −0.442836 | + | 0.0125511i | ||||
\(700\) | −9.02812 | − | 17.2242i | −0.341231 | − | 0.651013i | ||||
\(701\) | 0.620894 | − | 4.31841i | 0.0234508 | − | 0.163104i | −0.974731 | − | 0.223383i | \(-0.928290\pi\) |
0.998182 | + | 0.0602789i | \(0.0191990\pi\) | |||||||
\(702\) | −29.0784 | − | 21.1567i | −1.09749 | − | 0.798506i | ||||
\(703\) | 11.0938 | − | 17.2623i | 0.418410 | − | 0.651059i | ||||
\(704\) | 2.02779 | + | 2.34019i | 0.0764252 | + | 0.0881993i | ||||
\(705\) | −0.113239 | + | 0.199776i | −0.00426482 | + | 0.00752401i | ||||
\(706\) | 22.1742 | − | 14.2505i | 0.834537 | − | 0.536325i | ||||
\(707\) | 1.66229 | − | 5.66123i | 0.0625167 | − | 0.212912i | ||||
\(708\) | 15.2059 | − | 2.62796i | 0.571473 | − | 0.0987649i | ||||
\(709\) | −8.15269 | − | 27.7655i | −0.306181 | − | 1.04276i | −0.958566 | − | 0.284869i | \(-0.908050\pi\) |
0.652386 | − | 0.757887i | \(-0.273768\pi\) | |||||||
\(710\) | −4.43283 | + | 5.40602i | −0.166361 | + | 0.202884i | ||||
\(711\) | 2.01641 | + | 5.65943i | 0.0756214 | + | 0.212245i | ||||
\(712\) | −2.61849 | −0.0981322 | ||||||||
\(713\) | 2.50556 | − | 53.0419i | 0.0938339 | − | 1.98644i | ||||
\(714\) | −21.2442 | − | 17.3793i | −0.795045 | − | 0.650404i | ||||
\(715\) | −5.52739 | + | 47.5985i | −0.206713 | + | 1.78008i | ||||
\(716\) | −23.0875 | − | 10.5437i | −0.862819 | − | 0.394036i | ||||
\(717\) | −26.7086 | − | 11.2942i | −0.997451 | − | 0.421791i | ||||
\(718\) | −14.1498 | + | 16.3297i | −0.528065 | + | 0.609419i | ||||
\(719\) | 4.04059 | − | 13.7610i | 0.150689 | − | 0.513198i | −0.849201 | − | 0.528070i | \(-0.822916\pi\) |
0.999889 | + | 0.0148719i | \(0.00473406\pi\) | |||||||
\(720\) | 5.84713 | − | 3.28802i | 0.217910 | − | 0.122537i | ||||
\(721\) | 1.67948 | + | 3.67756i | 0.0625473 | + | 0.136959i | ||||
\(722\) | 13.4694 | + | 15.5445i | 0.501278 | + | 0.578505i | ||||
\(723\) | −5.06423 | − | 15.5980i | −0.188341 | − | 0.580097i | ||||
\(724\) | 3.69342 | + | 0.531034i | 0.137265 | + | 0.0197357i | ||||
\(725\) | −16.1988 | − | 12.5620i | −0.601609 | − | 0.466539i | ||||
\(726\) | −2.32542 | + | 0.754995i | −0.0863043 | + | 0.0280205i | ||||
\(727\) | −12.2576 | − | 14.1460i | −0.454610 | − | 0.524648i | 0.481457 | − | 0.876470i | \(-0.340108\pi\) |
−0.936067 | + | 0.351822i | \(0.885562\pi\) | |||||||
\(728\) | 24.4843 | − | 11.1816i | 0.907449 | − | 0.414418i | ||||
\(729\) | 24.8561 | + | 10.5438i | 0.920598 | + | 0.390513i | ||||
\(730\) | 19.7192 | + | 11.9279i | 0.729840 | + | 0.441472i | ||||
\(731\) | −6.02161 | − | 5.21776i | −0.222717 | − | 0.192986i | ||||
\(732\) | −15.1378 | − | 6.40132i | −0.559511 | − | 0.236600i | ||||
\(733\) | −16.4178 | + | 35.9499i | −0.606404 | + | 1.32784i | 0.318603 | + | 0.947888i | \(0.396786\pi\) |
−0.925007 | + | 0.379951i | \(0.875941\pi\) | |||||||
\(734\) | −0.0762535 | − | 0.530355i | −0.00281457 | − | 0.0195757i | ||||
\(735\) | 18.4608 | + | 25.4944i | 0.680936 | + | 0.940374i | ||||
\(736\) | 1.13251 | + | 4.66019i | 0.0417450 | + | 0.171777i | ||||
\(737\) | 2.73120 | 0.100605 | ||||||||
\(738\) | 5.72437 | + | 16.0665i | 0.210717 | + | 0.591416i | ||||
\(739\) | 2.72470 | − | 5.96626i | 0.100230 | − | 0.219472i | −0.852874 | − | 0.522117i | \(-0.825142\pi\) |
0.953103 | + | 0.302645i | \(0.0978696\pi\) | |||||||
\(740\) | 0.198323 | + | 7.29159i | 0.00729051 | + | 0.268044i | ||||
\(741\) | 12.8408 | + | 74.2996i | 0.471720 | + | 2.72947i | ||||
\(742\) | −3.90126 | + | 13.2865i | −0.143220 | + | 0.487761i | ||||
\(743\) | 22.4148 | + | 34.8781i | 0.822320 | + | 1.27955i | 0.957413 | + | 0.288721i | \(0.0932302\pi\) |
−0.135094 | + | 0.990833i | \(0.543133\pi\) | |||||||
\(744\) | 18.5467 | + | 4.87953i | 0.679955 | + | 0.178892i | ||||
\(745\) | −23.7721 | + | 11.6476i | −0.870941 | + | 0.426735i | ||||
\(746\) | −6.54792 | − | 4.20809i | −0.239736 | − | 0.154069i | ||||
\(747\) | −0.577820 | − | 10.1853i | −0.0211413 | − | 0.372660i | ||||
\(748\) | −12.4880 | − | 1.79550i | −0.456605 | − | 0.0656499i | ||||
\(749\) | 12.4345 | − | 19.3484i | 0.454346 | − | 0.706976i | ||||
\(750\) | −13.1557 | + | 14.2101i | −0.480378 | + | 0.518880i | ||||
\(751\) | −15.9480 | + | 7.28320i | −0.581950 | + | 0.265768i | −0.684563 | − | 0.728954i | \(-0.740007\pi\) |
0.102613 | + | 0.994721i | \(0.467280\pi\) | |||||||
\(752\) | 0.0498799 | − | 0.0320558i | 0.00181893 | − | 0.00116896i | ||||
\(753\) | −15.6802 | + | 10.7167i | −0.571419 | + | 0.390538i | ||||
\(754\) | 18.5803 | − | 21.4428i | 0.676654 | − | 0.780901i | ||||
\(755\) | −0.441466 | − | 16.2310i | −0.0160666 | − | 0.590707i | ||||
\(756\) | −16.0125 | + | 12.3302i | −0.582368 | + | 0.448446i | ||||
\(757\) | −6.24813 | − | 43.4567i | −0.227092 | − | 1.57946i | −0.710264 | − | 0.703935i | \(-0.751424\pi\) |
0.483172 | − | 0.875526i | \(-0.339485\pi\) | |||||||
\(758\) | 20.0847i | 0.729510i | ||||||||
\(759\) | 25.3862 | + | 4.14024i | 0.921461 | + | 0.150281i | ||||
\(760\) | −13.5986 | − | 3.59434i | −0.493273 | − | 0.130380i | ||||
\(761\) | 40.9916 | − | 5.89370i | 1.48594 | − | 0.213646i | 0.648938 | − | 0.760841i | \(-0.275213\pi\) |
0.837005 | + | 0.547194i | \(0.184304\pi\) | |||||||
\(762\) | 0.0908522 | − | 0.0446437i | 0.00329123 | − | 0.00161727i | ||||
\(763\) | 8.05969 | + | 27.4488i | 0.291780 | + | 0.993713i | ||||
\(764\) | −6.07837 | + | 7.01481i | −0.219908 | + | 0.253787i | ||||
\(765\) | −9.23159 | + | 25.7255i | −0.333769 | + | 0.930108i | ||||
\(766\) | −2.20249 | − | 3.42714i | −0.0795791 | − | 0.123828i | ||||
\(767\) | −25.6134 | − | 56.0856i | −0.924848 | − | 2.02513i | ||||
\(768\) | −1.73136 | + | 0.0490711i | −0.0624749 | + | 0.00177070i | ||||
\(769\) | −20.1591 | + | 31.3681i | −0.726955 | + | 1.13116i | 0.259279 | + | 0.965803i | \(0.416515\pi\) |
−0.986233 | + | 0.165361i | \(0.947121\pi\) | |||||||
\(770\) | 24.7916 | + | 10.5170i | 0.893426 | + | 0.379006i | ||||
\(771\) | 14.4286 | + | 15.7281i | 0.519635 | + | 0.566435i | ||||
\(772\) | −8.13866 | + | 12.6640i | −0.292917 | + | 0.455787i | ||||
\(773\) | 31.6841 | − | 27.4544i | 1.13960 | − | 0.987468i | 0.139602 | − | 0.990208i | \(-0.455418\pi\) |
0.999996 | + | 0.00274017i | \(0.000872223\pi\) | |||||||
\(774\) | −4.74783 | + | 3.44623i | −0.170657 | + | 0.123872i | ||||
\(775\) | −55.2799 | + | 3.00933i | −1.98571 | + | 0.108098i | ||||
\(776\) | 7.04282 | + | 2.06796i | 0.252823 | + | 0.0742354i | ||||
\(777\) | −3.74243 | − | 21.6544i | −0.134259 | − | 0.776847i | ||||
\(778\) | −26.8641 | + | 7.88801i | −0.963124 | + | 0.282799i | ||||
\(779\) | 14.8562 | − | 32.5305i | 0.532278 | − | 1.16553i | ||||
\(780\) | −18.6496 | − | 19.2513i | −0.667763 | − | 0.689305i | ||||
\(781\) | − | 9.68127i | − | 0.346423i | ||||||
\(782\) | −15.9213 | − | 11.3280i | −0.569346 | − | 0.405088i | ||||
\(783\) | −9.95415 | + | 18.8344i | −0.355732 | + | 0.673087i | ||||
\(784\) | −1.15662 | − | 8.04444i | −0.0413077 | − | 0.287302i | ||||
\(785\) | 12.0555 | + | 9.88525i | 0.430278 | + | 0.352820i | ||||
\(786\) | 4.99892 | + | 2.11389i | 0.178306 | + | 0.0753999i | ||||
\(787\) | 33.1409 | − | 38.2467i | 1.18135 | − | 1.36335i | 0.264362 | − | 0.964423i | \(-0.414839\pi\) |
0.916984 | − | 0.398923i | \(-0.130616\pi\) | |||||||
\(788\) | 20.2432 | + | 5.94393i | 0.721133 | + | 0.211744i | ||||
\(789\) | 1.87367 | + | 0.215411i | 0.0667045 | + | 0.00766882i | ||||
\(790\) | 0.757569 | + | 4.41349i | 0.0269531 | + | 0.157025i | ||||
\(791\) | −28.6299 | + | 24.8079i | −1.01796 | + | 0.882069i | ||||
\(792\) | −3.37422 | + | 8.65509i | −0.119898 | + | 0.307545i | ||||
\(793\) | −9.34588 | + | 65.0020i | −0.331882 | + | 2.30829i | ||||
\(794\) | 20.5252 | + | 2.95108i | 0.728413 | + | 0.104730i | ||||
\(795\) | 13.7678 | − | 0.765274i | 0.488293 | − | 0.0271415i | ||||
\(796\) | −13.5387 | + | 11.7313i | −0.479866 | + | 0.415806i | ||||
\(797\) | −17.0928 | + | 7.80600i | −0.605457 | + | 0.276503i | −0.694463 | − | 0.719528i | \(-0.744358\pi\) |
0.0890065 | + | 0.996031i | \(0.471631\pi\) | |||||||
\(798\) | 42.0980 | + | 4.83989i | 1.49025 | + | 0.171330i | ||||
\(799\) | −0.0680607 | + | 0.231793i | −0.00240781 | + | 0.00820026i | ||||
\(800\) | 4.71380 | − | 1.66736i | 0.166658 | − | 0.0589500i | ||||
\(801\) | −3.66277 | − | 6.94929i | −0.129418 | − | 0.245541i | ||||
\(802\) | 0.766233 | − | 1.67782i | 0.0270566 | − | 0.0592457i | ||||
\(803\) | −31.5895 | + | 4.54188i | −1.11477 | + | 0.160280i | ||||
\(804\) | −0.967326 | + | 1.18245i | −0.0341149 | + | 0.0417017i | ||||
\(805\) | 26.6773 | + | 32.0616i | 0.940251 | + | 1.13002i | ||||
\(806\) | − | 76.6272i | − | 2.69908i | ||||||
\(807\) | −13.1649 | + | 21.8205i | −0.463428 | + | 0.768118i | ||||
\(808\) | 1.37993 | + | 0.630191i | 0.0485456 | + | 0.0221701i | ||||
\(809\) | −12.3358 | − | 42.0119i | −0.433704 | − | 1.47706i | −0.829388 | − | 0.558673i | \(-0.811311\pi\) |
0.395684 | − | 0.918387i | \(-0.370507\pi\) | |||||||
\(810\) | 16.9052 | + | 10.9185i | 0.593988 | + | 0.383639i | ||||
\(811\) | 17.7778 | + | 5.22004i | 0.624264 | + | 0.183300i | 0.578540 | − | 0.815654i | \(-0.303623\pi\) |
0.0457233 | + | 0.998954i | \(0.485441\pi\) | |||||||
\(812\) | −8.62080 | − | 13.4142i | −0.302531 | − | 0.470747i | ||||
\(813\) | 2.15418 | + | 0.566752i | 0.0755504 | + | 0.0198769i | ||||
\(814\) | −6.61486 | − | 7.63395i | −0.231851 | − | 0.267570i | ||||
\(815\) | 30.3028 | + | 33.1079i | 1.06146 | + | 1.15972i | ||||
\(816\) | 5.20027 | − | 4.77061i | 0.182046 | − | 0.167005i | ||||
\(817\) | 12.1760 | + | 1.75064i | 0.425984 | + | 0.0612473i | ||||
\(818\) | 21.7335 | + | 13.9673i | 0.759894 | + | 0.488354i | ||||
\(819\) | 63.9240 | + | 49.3387i | 2.23369 | + | 1.72403i | ||||
\(820\) | 2.15066 | + | 12.5294i | 0.0751042 | + | 0.437546i | ||||
\(821\) | 5.46056 | + | 8.49679i | 0.190575 | + | 0.296540i | 0.923372 | − | 0.383907i | \(-0.125422\pi\) |
−0.732797 | + | 0.680448i | \(0.761785\pi\) | |||||||
\(822\) | 5.47090 | + | 8.00480i | 0.190819 | + | 0.279199i | ||||
\(823\) | 26.2497 | + | 22.7455i | 0.915006 | + | 0.792857i | 0.978739 | − | 0.205110i | \(-0.0657551\pi\) |
−0.0637330 | + | 0.997967i | \(0.520301\pi\) | |||||||
\(824\) | −0.997371 | + | 0.292855i | −0.0347451 | + | 0.0102021i | ||||
\(825\) | 1.61018 | − | 26.7683i | 0.0560593 | − | 0.931951i | ||||
\(826\) | −34.2987 | + | 4.93141i | −1.19341 | + | 0.171586i | ||||
\(827\) | 6.50207i | 0.226099i | 0.993589 | + | 0.113050i | \(0.0360619\pi\) | ||||
−0.993589 | + | 0.113050i | \(0.963938\pi\) | |||||||
\(828\) | −10.7837 | + | 9.52433i | −0.374758 | + | 0.330993i | ||||
\(829\) | −12.8320 | −0.445673 | −0.222837 | − | 0.974856i | \(-0.571532\pi\) | ||||
−0.222837 | + | 0.974856i | \(0.571532\pi\) | |||||||
\(830\) | 0.877108 | − | 7.55312i | 0.0304449 | − | 0.262173i | ||||
\(831\) | 16.5492 | − | 8.13205i | 0.574084 | − | 0.282098i | ||||
\(832\) | 1.94976 | + | 6.64026i | 0.0675956 | + | 0.230210i | ||||
\(833\) | 25.0252 | + | 21.6845i | 0.867073 | + | 0.751323i | ||||
\(834\) | −21.9255 | + | 14.9850i | −0.759218 | + | 0.518889i | ||||
\(835\) | −14.0853 | − | 43.5527i | −0.487442 | − | 1.50720i | ||||
\(836\) | 17.7179 | − | 8.09151i | 0.612788 | − | 0.279851i | ||||
\(837\) | 12.9934 | + | 56.0472i | 0.449116 | + | 1.93727i | ||||
\(838\) | 30.2199 | + | 19.4211i | 1.04393 | + | 0.670892i | ||||
\(839\) | −1.18901 | + | 8.26972i | −0.0410491 | + | 0.285503i | 0.958949 | + | 0.283578i | \(0.0915216\pi\) |
−0.999998 | + | 0.00192424i | \(0.999387\pi\) | |||||||
\(840\) | −13.3338 | + | 7.00839i | −0.460059 | + | 0.241813i | ||||
\(841\) | 10.2564 | + | 6.59140i | 0.353670 | + | 0.227290i | ||||
\(842\) | −4.86227 | + | 4.21318i | −0.167565 | + | 0.145196i | ||||
\(843\) | −23.0969 | − | 6.07667i | −0.795500 | − | 0.209292i | ||||
\(844\) | 8.68611 | − | 5.58223i | 0.298988 | − | 0.192148i | ||||
\(845\) | −40.3841 | + | 66.7629i | −1.38926 | + | 2.29671i | ||||
\(846\) | 0.154846 | + | 0.0875376i | 0.00532372 | + | 0.00300960i | ||||
\(847\) | 5.26772 | − | 1.54674i | 0.181001 | − | 0.0531467i | ||||
\(848\) | −3.23858 | − | 1.47901i | −0.111213 | − | 0.0507894i | ||||
\(849\) | −10.0325 | − | 6.05288i | −0.344314 | − | 0.207734i | ||||
\(850\) | −10.0660 | + | 17.7113i | −0.345261 | + | 0.607491i | ||||
\(851\) | −3.69438 | − | 15.2020i | −0.126642 | − | 0.521119i | ||||
\(852\) | 4.19140 | + | 3.42887i | 0.143595 | + | 0.117471i | ||||
\(853\) | 18.9316 | − | 2.72195i | 0.648204 | − | 0.0931977i | 0.189633 | − | 0.981855i | \(-0.439270\pi\) |
0.458572 | + | 0.888657i | \(0.348361\pi\) | |||||||
\(854\) | 33.5715 | + | 15.3316i | 1.14879 | + | 0.524637i | ||||
\(855\) | −9.48273 | − | 41.1175i | −0.324303 | − | 1.40619i | ||||
\(856\) | 4.46908 | + | 3.87248i | 0.152750 | + | 0.132359i | ||||
\(857\) | −12.6400 | − | 3.71144i | −0.431774 | − | 0.126780i | 0.0586217 | − | 0.998280i | \(-0.481329\pi\) |
−0.490395 | + | 0.871500i | \(0.663148\pi\) | |||||||
\(858\) | 36.8745 | + | 4.23936i | 1.25888 | + | 0.144729i | ||||
\(859\) | 0.655459 | + | 1.43525i | 0.0223640 | + | 0.0489703i | 0.920484 | − | 0.390779i | \(-0.127794\pi\) |
−0.898120 | + | 0.439750i | \(0.855067\pi\) | |||||||
\(860\) | −3.92677 | + | 1.92400i | −0.133902 | + | 0.0656078i | ||||
\(861\) | −11.8269 | − | 36.4275i | −0.403061 | − | 1.24144i | ||||
\(862\) | −3.26727 | + | 22.7244i | −0.111284 | + | 0.773995i | ||||
\(863\) | 4.49216 | − | 31.2436i | 0.152915 | − | 1.06355i | −0.758386 | − | 0.651805i | \(-0.774012\pi\) |
0.911301 | − | 0.411741i | \(-0.135079\pi\) | |||||||
\(864\) | −2.55207 | − | 4.52625i | −0.0868230 | − | 0.153986i | ||||
\(865\) | −7.98004 | + | 3.90998i | −0.271330 | + | 0.132943i | ||||
\(866\) | 3.72396 | + | 8.15433i | 0.126545 | + | 0.277095i | ||||
\(867\) | 0.0790250 | − | 0.687370i | 0.00268383 | − | 0.0233443i | ||||
\(868\) | −41.3200 | − | 12.1326i | −1.40249 | − | 0.411809i | ||||
\(869\) | −4.68656 | − | 4.06093i | −0.158981 | − | 0.137758i | ||||
\(870\) | −9.71610 | + | 12.5587i | −0.329407 | + | 0.425778i | ||||
\(871\) | 5.55251 | + | 2.53575i | 0.188140 | + | 0.0859205i | ||||
\(872\) | −7.28047 | + | 1.04677i | −0.246548 | + | 0.0354482i | ||||
\(873\) | 4.36334 | + | 21.5838i | 0.147677 | + | 0.730502i | ||||
\(874\) | 30.1338 | + | 1.42344i | 1.01929 | + | 0.0481485i | ||||
\(875\) | 30.4336 | − | 31.0595i | 1.02884 | − | 1.05000i | ||||
\(876\) | 9.22186 | − | 15.2850i | 0.311578 | − | 0.516431i | ||||
\(877\) | 11.9143 | + | 5.44109i | 0.402318 | + | 0.183733i | 0.606289 | − | 0.795244i | \(-0.292657\pi\) |
−0.203971 | + | 0.978977i | \(0.565385\pi\) | |||||||
\(878\) | −32.7359 | + | 9.61213i | −1.10478 | + | 0.324394i | ||||
\(879\) | 49.3959 | − | 8.53685i | 1.66608 | − | 0.287941i | ||||
\(880\) | −3.58366 | + | 5.92449i | −0.120805 | + | 0.199714i | ||||
\(881\) | −31.4410 | + | 20.2059i | −1.05928 | + | 0.680755i | −0.949680 | − | 0.313221i | \(-0.898592\pi\) |
−0.109595 | + | 0.993976i | \(0.534955\pi\) | |||||||
\(882\) | 19.7315 | − | 14.3222i | 0.664394 | − | 0.482254i | ||||
\(883\) | −42.5945 | + | 36.9083i | −1.43342 | + | 1.24206i | −0.508955 | + | 0.860793i | \(0.669968\pi\) |
−0.924463 | + | 0.381271i | \(0.875487\pi\) | |||||||
\(884\) | −23.7209 | − | 15.2445i | −0.797820 | − | 0.512728i | ||||
\(885\) | 16.0540 | + | 30.5434i | 0.539648 | + | 1.02670i | ||||
\(886\) | 2.42289 | − | 16.8516i | 0.0813986 | − | 0.566140i | ||||
\(887\) | −6.15456 | − | 3.95529i | −0.206650 | − | 0.132806i | 0.433223 | − | 0.901287i | \(-0.357376\pi\) |
−0.639872 | + | 0.768481i | \(0.721013\pi\) | |||||||
\(888\) | 5.64786 | − | 0.160075i | 0.189530 | − | 0.00537177i | ||||
\(889\) | −0.206769 | + | 0.0944284i | −0.00693482 | + | 0.00316703i | ||||
\(890\) | −1.80172 | − | 5.57103i | −0.0603937 | − | 0.186741i | ||||
\(891\) | −27.6899 | + | 3.15188i | −0.927645 | + | 0.105592i | ||||
\(892\) | −11.9895 | − | 10.3889i | −0.401437 | − | 0.347847i | ||||
\(893\) | −0.105077 | − | 0.357860i | −0.00351628 | − | 0.0119753i | ||||
\(894\) | 9.04323 | + | 18.4034i | 0.302451 | + | 0.615503i | ||||
\(895\) | 6.54657 | − | 56.3751i | 0.218828 | − | 1.88441i | ||||
\(896\) | 3.88937 | 0.129935 | ||||||||
\(897\) | 47.7660 | + | 31.9865i | 1.59486 | + | 1.06800i | ||||
\(898\) | − | 22.8345i | − | 0.761999i | ||||||
\(899\) | −44.9321 | + | 6.46026i | −1.49857 | + | 0.215462i | ||||
\(900\) | 11.0188 | + | 10.1778i | 0.367292 | + | 0.339259i | ||||
\(901\) | 13.9185 | − | 4.08683i | 0.463692 | − | 0.136152i | ||||
\(902\) | −13.3046 | − | 11.5285i | −0.442996 | − | 0.383858i | ||||
\(903\) | 10.8763 | − | 7.43346i | 0.361942 | − | 0.247370i | ||||
\(904\) | −5.26589 | − | 8.19388i | −0.175141 | − | 0.272524i | ||||
\(905\) | 1.41153 | + | 8.22341i | 0.0469210 | + | 0.273355i | ||||
\(906\) | −12.5721 | + | 0.356326i | −0.417679 | + | 0.0118381i | ||||
\(907\) | −3.41250 | − | 2.19308i | −0.113310 | − | 0.0728201i | 0.482758 | − | 0.875754i | \(-0.339635\pi\) |
−0.596069 | + | 0.802934i | \(0.703271\pi\) | |||||||
\(908\) | −22.7450 | − | 3.27024i | −0.754821 | − | 0.108527i | ||||
\(909\) | 0.257770 | + | 4.54374i | 0.00854970 | + | 0.150706i | ||||
\(910\) | 40.6367 | + | 44.3983i | 1.34709 | + | 1.47179i | ||||
\(911\) | −0.0559792 | − | 0.0646035i | −0.00185467 | − | 0.00214041i | 0.754821 | − | 0.655930i | \(-0.227723\pi\) |
−0.756676 | + | 0.653790i | \(0.773178\pi\) | |||||||
\(912\) | −2.77212 | + | 10.5366i | −0.0917942 | + | 0.348902i | ||||
\(913\) | 5.69289 | + | 8.85831i | 0.188407 | + | 0.293167i | ||||
\(914\) | 6.45951 | + | 1.89668i | 0.213662 | + | 0.0627367i | ||||
\(915\) | 3.20330 | − | 36.6114i | 0.105898 | − | 1.21034i | ||||
\(916\) | −1.32905 | − | 4.52633i | −0.0439131 | − | 0.149554i | ||||
\(917\) | −11.0862 | − | 5.06291i | −0.366099 | − | 0.167192i | ||||
\(918\) | 19.9351 | + | 7.12798i | 0.657955 | + | 0.235258i | ||||
\(919\) | 7.30750i | 0.241052i | 0.992710 | + | 0.120526i | \(0.0384581\pi\) | ||||
−0.992710 | + | 0.120526i | \(0.961542\pi\) | |||||||
\(920\) | −9.13564 | + | 5.61606i | −0.301193 | + | 0.185156i | ||||
\(921\) | 15.9933 | + | 13.0836i | 0.526996 | + | 0.431120i | ||||
\(922\) | −7.91992 | + | 1.13871i | −0.260829 | + | 0.0375015i | ||||
\(923\) | 8.98843 | − | 19.6819i | 0.295858 | − | 0.647838i | ||||
\(924\) | 8.12448 | − | 19.2128i | 0.267276 | − | 0.632054i | ||||
\(925\) | −15.3769 | + | 5.43910i | −0.505590 | + | 0.178836i | ||||
\(926\) | −2.66961 | + | 9.09185i | −0.0877288 | + | 0.298777i | ||||
\(927\) | −2.17235 | − | 2.23730i | −0.0713492 | − | 0.0734827i | ||||
\(928\) | 3.72929 | − | 1.70311i | 0.122420 | − | 0.0559073i | ||||
\(929\) | 4.58820 | − | 3.97570i | 0.150534 | − | 0.130438i | −0.576338 | − | 0.817211i | \(-0.695519\pi\) |
0.726872 | + | 0.686773i | \(0.240973\pi\) | |||||||
\(930\) | 2.37995 | + | 42.8169i | 0.0780416 | + | 1.40402i | ||||
\(931\) | −50.6022 | − | 7.27550i | −1.65842 | − | 0.238445i | ||||
\(932\) | −0.962377 | + | 6.69348i | −0.0315237 | + | 0.219252i | ||||
\(933\) | 12.5501 | + | 38.6547i | 0.410871 | + | 1.26550i | ||||
\(934\) | −29.7578 | + | 25.7853i | −0.973705 | + | 0.843720i | ||||
\(935\) | −4.77259 | − | 27.8045i | −0.156080 | − | 0.909303i | ||||
\(936\) | −14.8954 | + | 14.4630i | −0.486873 | + | 0.472737i | ||||
\(937\) | 44.2154 | + | 12.9828i | 1.44445 | + | 0.424130i | 0.907704 | − | 0.419612i | \(-0.137834\pi\) |
0.536750 | + | 0.843741i | \(0.319652\pi\) | |||||||
\(938\) | 2.24651 | − | 2.59261i | 0.0733511 | − | 0.0846517i | ||||
\(939\) | −3.98401 | + | 9.42139i | −0.130013 | + | 0.307455i | ||||
\(940\) | 0.102522 | + | 0.0840661i | 0.00334390 | + | 0.00274193i | ||||
\(941\) | 7.07100 | + | 49.1799i | 0.230508 | + | 1.60322i | 0.695917 | + | 0.718122i | \(0.254998\pi\) |
−0.465409 | + | 0.885095i | \(0.654093\pi\) | |||||||
\(942\) | 7.64641 | − | 9.34687i | 0.249133 | − | 0.304537i | ||||
\(943\) | −10.1437 | − | 25.3085i | −0.330323 | − | 0.824158i | ||||
\(944\) | − | 8.90927i | − | 0.289972i | ||||||
\(945\) | −37.2512 | − | 25.5835i | −1.21178 | − | 0.832232i | ||||
\(946\) | 2.51553 | − | 5.50825i | 0.0817870 | − | 0.179089i | ||||
\(947\) | −11.0534 | + | 3.24557i | −0.359187 | + | 0.105467i | −0.456347 | − | 0.889802i | \(-0.650842\pi\) |
0.0971600 | + | 0.995269i | \(0.469024\pi\) | |||||||
\(948\) | 3.41800 | − | 0.590717i | 0.111012 | − | 0.0191856i | ||||
\(949\) | −68.4380 | − | 20.0952i | −2.22159 | − | 0.652318i | ||||
\(950\) | −1.70964 | − | 31.4052i | −0.0554680 | − | 1.01892i | ||||
\(951\) | −5.69650 | − | 1.49872i | −0.184722 | − | 0.0485992i | ||||
\(952\) | −11.9762 | + | 10.3774i | −0.388150 | + | 0.336334i | ||||
\(953\) | −1.62507 | + | 2.52866i | −0.0526412 | + | 0.0819112i | −0.866577 | − | 0.499044i | \(-0.833685\pi\) |
0.813935 | + | 0.580955i | \(0.197321\pi\) | |||||||
\(954\) | −0.604966 | − | 10.6638i | −0.0195865 | − | 0.345253i | ||||
\(955\) | −19.1069 | − | 8.10545i | −0.618284 | − | 0.262286i | ||||
\(956\) | −9.05154 | + | 14.0845i | −0.292748 | + | 0.455524i | ||||
\(957\) | −0.622960 | − | 21.9796i | −0.0201374 | − | 0.710500i | ||||
\(958\) | −5.17863 | − | 11.3396i | −0.167314 | − | 0.366367i | ||||
\(959\) | −11.7709 | − | 18.3158i | −0.380101 | − | 0.591449i | ||||
\(960\) | −1.29570 | − | 3.64982i | −0.0418186 | − | 0.117797i | ||||
\(961\) | −59.9831 | + | 69.2242i | −1.93494 | + | 2.23304i | ||||
\(962\) | −6.36031 | − | 21.6612i | −0.205065 | − | 0.698386i | ||||
\(963\) | −4.02590 | + | 17.2775i | −0.129733 | + | 0.556759i | ||||
\(964\) | −9.37191 | + | 1.34748i | −0.301849 | + | 0.0433993i | ||||
\(965\) | −32.5435 | − | 8.60180i | −1.04761 | − | 0.276902i | ||||
\(966\) | 24.8112 | − | 20.6925i | 0.798287 | − | 0.665770i | ||||
\(967\) | 18.4558i | 0.593500i | 0.954955 | + | 0.296750i | \(0.0959028\pi\) | ||||
−0.954955 | + | 0.296750i | \(0.904097\pi\) | |||||||
\(968\) | 0.200887 | + | 1.39720i | 0.00645676 | + | 0.0449077i | ||||
\(969\) | −19.5773 | − | 39.8408i | −0.628914 | − | 1.27987i | ||||
\(970\) | 0.446253 | + | 16.4070i | 0.0143283 | + | 0.526797i | ||||
\(971\) | −4.55983 | + | 5.26232i | −0.146332 | + | 0.168876i | −0.824184 | − | 0.566323i | \(-0.808366\pi\) |
0.677852 | + | 0.735199i | \(0.262911\pi\) | |||||||
\(972\) | 8.44250 | − | 13.1044i | 0.270793 | − | 0.420323i | ||||
\(973\) | 50.1679 | − | 32.2409i | 1.60831 | − | 1.03360i | ||||
\(974\) | −22.3960 | + | 10.2279i | −0.717615 | + | 0.327724i | ||||
\(975\) | 28.1261 | − | 52.9247i | 0.900756 | − | 1.69495i | ||||
\(976\) | −5.13022 | + | 7.98277i | −0.164214 | + | 0.255522i | ||||
\(977\) | −53.8299 | − | 7.73957i | −1.72217 | − | 0.247611i | −0.790902 | − | 0.611943i | \(-0.790388\pi\) |
−0.931269 | + | 0.364332i | \(0.881297\pi\) | |||||||
\(978\) | 25.6184 | − | 23.5017i | 0.819186 | − | 0.751503i | ||||
\(979\) | 6.82106 | + | 4.38363i | 0.218002 | + | 0.140101i | ||||
\(980\) | 16.3193 | − | 7.99595i | 0.521300 | − | 0.255421i | ||||
\(981\) | −12.9620 | − | 17.8576i | −0.413846 | − | 0.570150i | ||||
\(982\) | −21.7592 | − | 33.8579i | −0.694363 | − | 1.08045i | ||||
\(983\) | 9.74750 | − | 33.1969i | 0.310897 | − | 1.05882i | −0.644772 | − | 0.764375i | \(-0.723048\pi\) |
0.955669 | − | 0.294443i | \(-0.0951341\pi\) | |||||||
\(984\) | 9.70334 | − | 1.67698i | 0.309331 | − | 0.0534602i | ||||
\(985\) | 1.28266 | + | 47.1586i | 0.0408690 | + | 1.50260i | ||||
\(986\) | −6.93910 | + | 15.1945i | −0.220986 | + | 0.483892i | ||||
\(987\) | −0.342003 | − | 0.206340i | −0.0108861 | − | 0.00656788i | ||||
\(988\) | 43.5328 | 1.38496 | ||||||||
\(989\) | 7.36977 | − | 5.80039i | 0.234345 | − | 0.184442i | ||||
\(990\) | −20.7360 | − | 1.22354i | −0.659034 | − | 0.0388868i | ||||
\(991\) | 4.88631 | + | 33.9850i | 0.155219 | + | 1.07957i | 0.907295 | + | 0.420494i | \(0.138143\pi\) |
−0.752077 | + | 0.659076i | \(0.770948\pi\) | |||||||
\(992\) | 4.59962 | − | 10.0718i | 0.146038 | − | 0.319779i | ||||
\(993\) | −7.90702 | + | 18.6985i | −0.250922 | + | 0.593380i | ||||
\(994\) | −9.18999 | − | 7.96317i | −0.291489 | − | 0.252577i | ||||
\(995\) | −34.2748 | − | 20.7325i | −1.08659 | − | 0.657263i | ||||
\(996\) | −5.85139 | − | 0.672718i | −0.185409 | − | 0.0213159i | ||||
\(997\) | −18.1138 | + | 8.27229i | −0.573669 | + | 0.261986i | −0.681056 | − | 0.732231i | \(-0.738479\pi\) |
0.107387 | + | 0.994217i | \(0.465752\pi\) | |||||||
\(998\) | −10.6150 | − | 12.2504i | −0.336013 | − | 0.387779i | ||||
\(999\) | 8.32510 | + | 14.7651i | 0.263395 | + | 0.467147i |
(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 | 690.2.n.a.89.9 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.3 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.16 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.22 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.22 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.16 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.3 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.9 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.9 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.22 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.9 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.22 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.3 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.16 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.3 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.16 | yes | 240 | 69.38 | even | 22 |