Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(293,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.293");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cc (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 293.19 | ||
Character | \(\chi\) | \(=\) | 504.293 |
Dual form | 504.2.cc.b.461.19 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.995788 | − | 1.00419i | −0.704128 | − | 0.710073i | ||||
\(3\) | −0.539289 | + | 1.64595i | −0.311358 | + | 0.950293i | ||||
\(4\) | −0.0168127 | + | 1.99993i | −0.00840637 | + | 0.999965i | ||||
\(5\) | −0.194059 | − | 0.112040i | −0.0867859 | − | 0.0501059i | 0.455979 | − | 0.889991i | \(-0.349289\pi\) |
−0.542765 | + | 0.839885i | \(0.682623\pi\) | |||||||
\(6\) | 2.18988 | − | 1.09747i | 0.894013 | − | 0.448041i | ||||
\(7\) | −1.79621 | − | 1.94258i | −0.678903 | − | 0.734228i | ||||
\(8\) | 2.02506 | − | 1.97462i | 0.715967 | − | 0.698134i | ||||
\(9\) | −2.41834 | − | 1.77529i | −0.806112 | − | 0.591763i | ||||
\(10\) | 0.0807318 | + | 0.306441i | 0.0255296 | + | 0.0969053i | ||||
\(11\) | 1.00451 | + | 1.73985i | 0.302870 | + | 0.524586i | 0.976785 | − | 0.214223i | \(-0.0687219\pi\) |
−0.673915 | + | 0.738809i | \(0.735389\pi\) | |||||||
\(12\) | −3.28273 | − | 1.10621i | −0.947642 | − | 0.319336i | ||||
\(13\) | −1.86199 | + | 3.22507i | −0.516424 | + | 0.894473i | 0.483394 | + | 0.875403i | \(0.339404\pi\) |
−0.999818 | + | 0.0190702i | \(0.993929\pi\) | |||||||
\(14\) | −0.162090 | + | 3.73814i | −0.0433203 | + | 0.999061i | ||||
\(15\) | 0.289067 | − | 0.258991i | 0.0746368 | − | 0.0668711i | ||||
\(16\) | −3.99943 | − | 0.0672486i | −0.999859 | − | 0.0168122i | ||||
\(17\) | 4.50401 | 1.09238 | 0.546191 | − | 0.837661i | \(-0.316077\pi\) | ||||
0.546191 | + | 0.837661i | \(0.316077\pi\) | |||||||
\(18\) | 0.625414 | + | 4.19629i | 0.147411 | + | 0.989075i | ||||
\(19\) | −3.18997 | −0.731829 | −0.365915 | − | 0.930648i | \(-0.619244\pi\) | ||||
−0.365915 | + | 0.930648i | \(0.619244\pi\) | |||||||
\(20\) | 0.227335 | − | 0.386221i | 0.0508337 | − | 0.0863617i | ||||
\(21\) | 4.16608 | − | 1.90886i | 0.909114 | − | 0.416548i | ||||
\(22\) | 0.746878 | − | 2.74125i | 0.159235 | − | 0.584436i | ||||
\(23\) | −4.96153 | − | 2.86454i | −1.03455 | − | 0.597298i | −0.116266 | − | 0.993218i | \(-0.537092\pi\) |
−0.918285 | + | 0.395920i | \(0.870426\pi\) | |||||||
\(24\) | 2.15805 | + | 4.39805i | 0.440510 | + | 0.897748i | ||||
\(25\) | −2.47489 | − | 4.28664i | −0.494979 | − | 0.857328i | ||||
\(26\) | 5.09275 | − | 1.34168i | 0.998770 | − | 0.263125i | ||||
\(27\) | 4.22623 | − | 3.02308i | 0.813338 | − | 0.581792i | ||||
\(28\) | 3.91523 | − | 3.55963i | 0.739909 | − | 0.672707i | ||||
\(29\) | −3.01540 | − | 5.22282i | −0.559945 | − | 0.969853i | −0.997500 | − | 0.0706616i | \(-0.977489\pi\) |
0.437555 | − | 0.899191i | \(-0.355844\pi\) | |||||||
\(30\) | −0.547927 | − | 0.0323795i | −0.100037 | − | 0.00591167i | ||||
\(31\) | −9.21726 | − | 5.32159i | −1.65547 | − | 0.955785i | −0.974767 | − | 0.223225i | \(-0.928342\pi\) |
−0.680702 | − | 0.732561i | \(-0.738325\pi\) | |||||||
\(32\) | 3.91506 | + | 4.08318i | 0.692091 | + | 0.721810i | ||||
\(33\) | −3.40544 | + | 0.715087i | −0.592811 | + | 0.124481i | ||||
\(34\) | −4.48503 | − | 4.52290i | −0.769177 | − | 0.775670i | ||||
\(35\) | 0.130923 | + | 0.578224i | 0.0221301 | + | 0.0977377i | ||||
\(36\) | 3.59111 | − | 4.80665i | 0.598519 | − | 0.801109i | ||||
\(37\) | − | 7.59321i | − | 1.24832i | −0.781298 | − | 0.624158i | \(-0.785442\pi\) | ||
0.781298 | − | 0.624158i | \(-0.214558\pi\) | |||||||
\(38\) | 3.17653 | + | 3.20335i | 0.515302 | + | 0.519652i | ||||
\(39\) | −4.30417 | − | 4.80400i | −0.689218 | − | 0.769256i | ||||
\(40\) | −0.614219 | + | 0.156306i | −0.0971165 | + | 0.0247141i | ||||
\(41\) | 5.47156 | − | 9.47702i | 0.854514 | − | 1.48006i | −0.0225804 | − | 0.999745i | \(-0.507188\pi\) |
0.877095 | − | 0.480317i | \(-0.159478\pi\) | |||||||
\(42\) | −6.06541 | − | 2.28273i | −0.935912 | − | 0.352233i | ||||
\(43\) | −4.40539 | + | 2.54345i | −0.671815 | + | 0.387873i | −0.796764 | − | 0.604290i | \(-0.793457\pi\) |
0.124949 | + | 0.992163i | \(0.460123\pi\) | |||||||
\(44\) | −3.49648 | + | 1.97969i | −0.527113 | + | 0.298449i | ||||
\(45\) | 0.270397 | + | 0.615462i | 0.0403084 | + | 0.0917477i | ||||
\(46\) | 2.06408 | + | 7.83482i | 0.304332 | + | 1.15518i | ||||
\(47\) | 3.71247 | + | 6.43019i | 0.541520 | + | 0.937940i | 0.998817 | + | 0.0486261i | \(0.0154843\pi\) |
−0.457297 | + | 0.889314i | \(0.651182\pi\) | |||||||
\(48\) | 2.26754 | − | 6.54662i | 0.327291 | − | 0.944924i | ||||
\(49\) | −0.547269 | + | 6.97857i | −0.0781813 | + | 0.996939i | ||||
\(50\) | −1.84015 | + | 6.75386i | −0.260237 | + | 0.955140i | ||||
\(51\) | −2.42896 | + | 7.41339i | −0.340122 | + | 1.03808i | ||||
\(52\) | −6.41861 | − | 3.77808i | −0.890100 | − | 0.523925i | ||||
\(53\) | 3.21900 | 0.442163 | 0.221082 | − | 0.975255i | \(-0.429041\pi\) | ||||
0.221082 | + | 0.975255i | \(0.429041\pi\) | |||||||
\(54\) | −7.24418 | − | 1.23361i | −0.985809 | − | 0.167873i | ||||
\(55\) | − | 0.450180i | − | 0.0607022i | ||||||
\(56\) | −7.47330 | − | 0.387016i | −0.998662 | − | 0.0517172i | ||||
\(57\) | 1.72031 | − | 5.25055i | 0.227861 | − | 0.695452i | ||||
\(58\) | −2.24203 | + | 8.22886i | −0.294393 | + | 1.08050i | ||||
\(59\) | −8.74993 | − | 5.05177i | −1.13914 | − | 0.657685i | −0.192925 | − | 0.981214i | \(-0.561797\pi\) |
−0.946218 | + | 0.323529i | \(0.895131\pi\) | |||||||
\(60\) | 0.513103 | + | 0.582468i | 0.0662413 | + | 0.0751963i | ||||
\(61\) | −0.189238 | − | 0.327769i | −0.0242294 | − | 0.0419666i | 0.853656 | − | 0.520836i | \(-0.174380\pi\) |
−0.877886 | + | 0.478870i | \(0.841047\pi\) | |||||||
\(62\) | 3.83453 | + | 14.5551i | 0.486986 | + | 1.84850i | ||||
\(63\) | 0.895185 | + | 7.88661i | 0.112783 | + | 0.993620i | ||||
\(64\) | 0.201734 | − | 7.99746i | 0.0252167 | − | 0.999682i | ||||
\(65\) | 0.722675 | − | 0.417236i | 0.0896367 | − | 0.0517518i | ||||
\(66\) | 4.10918 | + | 2.70765i | 0.505806 | + | 0.333289i | ||||
\(67\) | 7.13938 | + | 4.12192i | 0.872214 | + | 0.503573i | 0.868083 | − | 0.496419i | \(-0.165352\pi\) |
0.00413042 | + | 0.999991i | \(0.498685\pi\) | |||||||
\(68\) | −0.0757247 | + | 9.00769i | −0.00918297 | + | 1.09234i | ||||
\(69\) | 7.39060 | − | 6.62164i | 0.889724 | − | 0.797152i | ||||
\(70\) | 0.450277 | − | 0.707261i | 0.0538184 | − | 0.0845339i | ||||
\(71\) | 3.61002i | 0.428431i | 0.976786 | + | 0.214215i | \(0.0687194\pi\) | ||||
−0.976786 | + | 0.214215i | \(0.931281\pi\) | |||||||
\(72\) | −8.40280 | + | 1.18023i | −0.990280 | + | 0.139092i | ||||
\(73\) | 7.27725i | 0.851737i | 0.904785 | + | 0.425869i | \(0.140031\pi\) | ||||
−0.904785 | + | 0.425869i | \(0.859969\pi\) | |||||||
\(74\) | −7.62505 | + | 7.56122i | −0.886395 | + | 0.878974i | ||||
\(75\) | 8.39030 | − | 1.76183i | 0.968829 | − | 0.203438i | ||||
\(76\) | 0.0536322 | − | 6.37972i | 0.00615203 | − | 0.731804i | ||||
\(77\) | 1.57551 | − | 5.07648i | 0.179546 | − | 0.578519i | ||||
\(78\) | −0.538115 | + | 9.10599i | −0.0609296 | + | 1.03105i | ||||
\(79\) | −3.54286 | − | 6.13642i | −0.398603 | − | 0.690401i | 0.594951 | − | 0.803762i | \(-0.297172\pi\) |
−0.993554 | + | 0.113361i | \(0.963838\pi\) | |||||||
\(80\) | 0.768593 | + | 0.461148i | 0.0859313 | + | 0.0515579i | ||||
\(81\) | 2.69669 | + | 8.58649i | 0.299633 | + | 0.954055i | ||||
\(82\) | −14.9653 | + | 3.94259i | −1.65264 | + | 0.435387i | ||||
\(83\) | −8.02064 | + | 4.63072i | −0.880380 | + | 0.508287i | −0.870784 | − | 0.491667i | \(-0.836388\pi\) |
−0.00959607 | + | 0.999954i | \(0.503055\pi\) | |||||||
\(84\) | 3.74755 | + | 8.36396i | 0.408891 | + | 0.912583i | ||||
\(85\) | −0.874044 | − | 0.504629i | −0.0948034 | − | 0.0547347i | ||||
\(86\) | 6.94095 | + | 1.89113i | 0.748462 | + | 0.203925i | ||||
\(87\) | 10.2227 | − | 2.14660i | 1.09599 | − | 0.230140i | ||||
\(88\) | 5.46974 | + | 1.53979i | 0.583076 | + | 0.164142i | ||||
\(89\) | 3.85271 | 0.408387 | 0.204193 | − | 0.978931i | \(-0.434543\pi\) | ||||
0.204193 | + | 0.978931i | \(0.434543\pi\) | |||||||
\(90\) | 0.348786 | − | 0.884400i | 0.0367653 | − | 0.0932240i | ||||
\(91\) | 9.60950 | − | 2.17582i | 1.00735 | − | 0.228087i | ||||
\(92\) | 5.81230 | − | 9.87455i | 0.605974 | − | 1.02949i | ||||
\(93\) | 13.7299 | − | 12.3013i | 1.42372 | − | 1.27559i | ||||
\(94\) | 2.76033 | − | 10.1312i | 0.284706 | − | 1.04495i | ||||
\(95\) | 0.619043 | + | 0.357405i | 0.0635125 | + | 0.0366690i | ||||
\(96\) | −8.83207 | + | 4.24200i | −0.901419 | + | 0.432947i | ||||
\(97\) | −15.5292 | + | 8.96577i | −1.57675 | + | 0.910336i | −0.581439 | + | 0.813590i | \(0.697510\pi\) |
−0.995309 | + | 0.0967455i | \(0.969157\pi\) | |||||||
\(98\) | 7.55281 | − | 6.39962i | 0.762949 | − | 0.646459i | ||||
\(99\) | 0.659514 | − | 5.99084i | 0.0662837 | − | 0.602102i | ||||
\(100\) | 8.61459 | − | 4.87754i | 0.861459 | − | 0.487754i | ||||
\(101\) | −12.8320 | + | 7.40857i | −1.27683 | + | 0.737180i | −0.976265 | − | 0.216580i | \(-0.930510\pi\) |
−0.300569 | + | 0.953760i | \(0.597177\pi\) | |||||||
\(102\) | 9.86321 | − | 4.94302i | 0.976604 | − | 0.489432i | ||||
\(103\) | −1.35694 | − | 0.783432i | −0.133704 | − | 0.0771939i | 0.431656 | − | 0.902038i | \(-0.357929\pi\) |
−0.565360 | + | 0.824844i | \(0.691263\pi\) | |||||||
\(104\) | 2.59764 | + | 10.2077i | 0.254720 | + | 1.00095i | ||||
\(105\) | −1.02234 | − | 0.0963356i | −0.0997698 | − | 0.00940139i | ||||
\(106\) | −3.20544 | − | 3.23250i | −0.311340 | − | 0.313968i | ||||
\(107\) | −3.88615 | −0.375688 | −0.187844 | − | 0.982199i | \(-0.560150\pi\) | ||||
−0.187844 | + | 0.982199i | \(0.560150\pi\) | |||||||
\(108\) | 5.97489 | + | 8.50298i | 0.574934 | + | 0.818200i | ||||
\(109\) | − | 0.989706i | − | 0.0947966i | −0.998876 | − | 0.0473983i | \(-0.984907\pi\) | ||
0.998876 | − | 0.0473983i | \(-0.0150930\pi\) | |||||||
\(110\) | −0.452068 | + | 0.448284i | −0.0431030 | + | 0.0427422i | ||||
\(111\) | 12.4981 | + | 4.09493i | 1.18626 | + | 0.388673i | ||||
\(112\) | 7.05318 | + | 7.89003i | 0.666463 | + | 0.745538i | ||||
\(113\) | 2.54716 | + | 1.47060i | 0.239617 | + | 0.138343i | 0.615000 | − | 0.788527i | \(-0.289156\pi\) |
−0.375384 | + | 0.926869i | \(0.622489\pi\) | |||||||
\(114\) | −6.98564 | + | 3.50090i | −0.654265 | + | 0.327890i | ||||
\(115\) | 0.641887 | + | 1.11178i | 0.0598563 | + | 0.103674i | ||||
\(116\) | 10.4960 | − | 5.94277i | 0.974526 | − | 0.551772i | ||||
\(117\) | 10.2284 | − | 4.49372i | 0.945612 | − | 0.415445i | ||||
\(118\) | 3.64011 | + | 13.8171i | 0.335099 | + | 1.27197i | ||||
\(119\) | −8.09013 | − | 8.74941i | −0.741621 | − | 0.802057i | ||||
\(120\) | 0.0739690 | − | 1.09527i | 0.00675241 | − | 0.0999840i | ||||
\(121\) | 3.48194 | − | 6.03089i | 0.316540 | − | 0.548263i | ||||
\(122\) | −0.140703 | + | 0.516420i | −0.0127387 | + | 0.0467545i | ||||
\(123\) | 12.6480 | + | 14.1168i | 1.14043 | + | 1.27287i | ||||
\(124\) | 10.7978 | − | 18.3444i | 0.969668 | − | 1.64738i | ||||
\(125\) | 2.22955i | 0.199417i | ||||||||
\(126\) | 7.02828 | − | 8.75233i | 0.626129 | − | 0.779720i | ||||
\(127\) | 6.11690 | 0.542787 | 0.271394 | − | 0.962468i | \(-0.412515\pi\) | ||||
0.271394 | + | 0.962468i | \(0.412515\pi\) | |||||||
\(128\) | −8.23188 | + | 7.76119i | −0.727603 | + | 0.685999i | ||||
\(129\) | −1.81063 | − | 8.62272i | −0.159417 | − | 0.759188i | ||||
\(130\) | −1.13862 | − | 0.310227i | −0.0998633 | − | 0.0272087i | ||||
\(131\) | −3.42788 | − | 1.97909i | −0.299496 | − | 0.172914i | 0.342721 | − | 0.939437i | \(-0.388652\pi\) |
−0.642216 | + | 0.766523i | \(0.721985\pi\) | |||||||
\(132\) | −1.37287 | − | 6.82266i | −0.119493 | − | 0.593837i | ||||
\(133\) | 5.72985 | + | 6.19679i | 0.496841 | + | 0.537330i | ||||
\(134\) | −2.97010 | − | 11.2739i | −0.256577 | − | 0.973915i | ||||
\(135\) | −1.15884 | + | 0.113149i | −0.0997375 | + | 0.00973832i | ||||
\(136\) | 9.12088 | − | 8.89371i | 0.782109 | − | 0.762629i | ||||
\(137\) | 4.66326 | − | 2.69233i | 0.398409 | − | 0.230022i | −0.287388 | − | 0.957814i | \(-0.592787\pi\) |
0.685797 | + | 0.727793i | \(0.259454\pi\) | |||||||
\(138\) | −14.0089 | − | 0.827851i | −1.19252 | − | 0.0704714i | ||||
\(139\) | −7.83653 | + | 13.5733i | −0.664686 | + | 1.15127i | 0.314684 | + | 0.949196i | \(0.398101\pi\) |
−0.979370 | + | 0.202074i | \(0.935232\pi\) | |||||||
\(140\) | −1.15861 | + | 0.252116i | −0.0979203 | + | 0.0213077i | ||||
\(141\) | −12.5859 | + | 2.64283i | −1.05992 | + | 0.222567i | ||||
\(142\) | 3.62516 | − | 3.59481i | 0.304217 | − | 0.301670i | ||||
\(143\) | −7.48154 | −0.625638 | ||||||||
\(144\) | 9.55259 | + | 7.26278i | 0.796049 | + | 0.605232i | ||||
\(145\) | 1.35138i | 0.112226i | ||||||||
\(146\) | 7.30777 | − | 7.24659i | 0.604795 | − | 0.599732i | ||||
\(147\) | −11.1913 | − | 4.66425i | −0.923041 | − | 0.384701i | ||||
\(148\) | 15.1859 | + | 0.127663i | 1.24827 | + | 0.0104938i | ||||
\(149\) | 6.11071 | − | 10.5841i | 0.500609 | − | 0.867080i | −0.499391 | − | 0.866377i | \(-0.666443\pi\) |
1.00000 | 0.000703058i | \(-0.000223790\pi\) | ||||||||
\(150\) | −10.1242 | − | 6.67109i | −0.826636 | − | 0.544692i | ||||
\(151\) | 4.94695 | + | 8.56836i | 0.402577 | + | 0.697283i | 0.994036 | − | 0.109051i | \(-0.0347813\pi\) |
−0.591459 | + | 0.806335i | \(0.701448\pi\) | |||||||
\(152\) | −6.45988 | + | 6.29899i | −0.523966 | + | 0.510915i | ||||
\(153\) | −10.8922 | − | 7.99591i | −0.880582 | − | 0.646431i | ||||
\(154\) | −6.66665 | + | 3.47298i | −0.537214 | + | 0.279860i | ||||
\(155\) | 1.19246 | + | 2.06541i | 0.0957809 | + | 0.165897i | ||||
\(156\) | 9.68003 | − | 8.52726i | 0.775023 | − | 0.682727i | ||||
\(157\) | 3.25505 | − | 5.63792i | 0.259781 | − | 0.449955i | −0.706402 | − | 0.707811i | \(-0.749683\pi\) |
0.966183 | + | 0.257856i | \(0.0830161\pi\) | |||||||
\(158\) | −2.63422 | + | 9.66829i | −0.209567 | + | 0.769168i | ||||
\(159\) | −1.73597 | + | 5.29832i | −0.137671 | + | 0.420184i | ||||
\(160\) | −0.302274 | − | 1.23102i | −0.0238968 | − | 0.0973208i | ||||
\(161\) | 3.34733 | + | 14.7835i | 0.263807 | + | 1.16510i | ||||
\(162\) | 5.93717 | − | 11.2583i | 0.466468 | − | 0.884538i | ||||
\(163\) | 12.3947i | 0.970829i | 0.874284 | + | 0.485414i | \(0.161331\pi\) | ||||
−0.874284 | + | 0.485414i | \(0.838669\pi\) | |||||||
\(164\) | 18.8614 | + | 11.1021i | 1.47283 | + | 0.866926i | ||||
\(165\) | 0.740976 | + | 0.242777i | 0.0576849 | + | 0.0189002i | ||||
\(166\) | 12.6370 | + | 3.44307i | 0.980821 | + | 0.267234i | ||||
\(167\) | −3.46690 | + | 6.00485i | −0.268277 | + | 0.464669i | −0.968417 | − | 0.249336i | \(-0.919787\pi\) |
0.700140 | + | 0.714005i | \(0.253121\pi\) | |||||||
\(168\) | 4.66728 | − | 12.0920i | 0.360088 | − | 0.932918i | ||||
\(169\) | −0.434048 | − | 0.751793i | −0.0333883 | − | 0.0578302i | ||||
\(170\) | 0.363616 | + | 1.38021i | 0.0278881 | + | 0.105858i | ||||
\(171\) | 7.71442 | + | 5.66312i | 0.589936 | + | 0.433070i | ||||
\(172\) | −5.01266 | − | 8.85323i | −0.382211 | − | 0.675052i | ||||
\(173\) | 10.4873 | − | 6.05484i | 0.797334 | − | 0.460341i | −0.0452043 | − | 0.998978i | \(-0.514394\pi\) |
0.842538 | + | 0.538637i | \(0.181061\pi\) | |||||||
\(174\) | −12.3352 | − | 8.12801i | −0.935132 | − | 0.616183i | ||||
\(175\) | −3.88174 | + | 12.5074i | −0.293432 | + | 0.945470i | ||||
\(176\) | −3.90045 | − | 7.02599i | −0.294008 | − | 0.529604i | ||||
\(177\) | 13.0337 | − | 11.6776i | 0.979675 | − | 0.877744i | ||||
\(178\) | −3.83649 | − | 3.86887i | −0.287557 | − | 0.289984i | ||||
\(179\) | 9.28719 | 0.694157 | 0.347079 | − | 0.937836i | \(-0.387174\pi\) | ||||
0.347079 | + | 0.937836i | \(0.387174\pi\) | |||||||
\(180\) | −1.23543 | + | 0.530427i | −0.0920833 | + | 0.0395357i | ||||
\(181\) | −6.13624 | −0.456103 | −0.228052 | − | 0.973649i | \(-0.573235\pi\) | ||||
−0.228052 | + | 0.973649i | \(0.573235\pi\) | |||||||
\(182\) | −11.7540 | − | 7.48316i | −0.871262 | − | 0.554688i | ||||
\(183\) | 0.641547 | − | 0.134714i | 0.0474245 | − | 0.00995838i | ||||
\(184\) | −15.7038 | + | 3.99628i | −1.15770 | + | 0.294610i | ||||
\(185\) | −0.850744 | + | 1.47353i | −0.0625479 | + | 0.108336i | ||||
\(186\) | −26.0249 | − | 1.53794i | −1.90824 | − | 0.112767i | ||||
\(187\) | 4.52430 | + | 7.83632i | 0.330849 | + | 0.573048i | ||||
\(188\) | −12.9223 | + | 7.31658i | −0.942459 | + | 0.533616i | ||||
\(189\) | −13.4638 | − | 2.77973i | −0.979345 | − | 0.202195i | ||||
\(190\) | −0.257532 | − | 0.977539i | −0.0186833 | − | 0.0709182i | ||||
\(191\) | 18.7449 | − | 10.8224i | 1.35634 | − | 0.783081i | 0.367208 | − | 0.930139i | \(-0.380314\pi\) |
0.989128 | + | 0.147058i | \(0.0469805\pi\) | |||||||
\(192\) | 13.0547 | + | 4.64498i | 0.942139 | + | 0.335223i | ||||
\(193\) | −2.30173 | + | 3.98672i | −0.165682 | + | 0.286970i | −0.936897 | − | 0.349605i | \(-0.886316\pi\) |
0.771215 | + | 0.636575i | \(0.219649\pi\) | |||||||
\(194\) | 24.4671 | + | 6.66630i | 1.75664 | + | 0.478612i | ||||
\(195\) | 0.297022 | + | 1.41450i | 0.0212702 | + | 0.101294i | ||||
\(196\) | −13.9475 | − | 1.21183i | −0.996247 | − | 0.0865592i | ||||
\(197\) | −12.6570 | −0.901777 | −0.450889 | − | 0.892580i | \(-0.648893\pi\) | ||||
−0.450889 | + | 0.892580i | \(0.648893\pi\) | |||||||
\(198\) | −6.67271 | + | 5.30333i | −0.474209 | + | 0.376891i | ||||
\(199\) | − | 15.4636i | − | 1.09619i | −0.836417 | − | 0.548094i | \(-0.815354\pi\) | ||
0.836417 | − | 0.548094i | \(-0.184646\pi\) | |||||||
\(200\) | −13.4763 | − | 3.79373i | −0.952919 | − | 0.268257i | ||||
\(201\) | −10.6347 | + | 9.52819i | −0.750113 | + | 0.672066i | ||||
\(202\) | 20.2176 | + | 5.50848i | 1.42251 | + | 0.387575i | ||||
\(203\) | −4.72949 | + | 15.2389i | −0.331945 | + | 1.06956i | ||||
\(204\) | −14.7854 | − | 4.98239i | −1.03519 | − | 0.348837i | ||||
\(205\) | −2.12361 | + | 1.22607i | −0.148320 | + | 0.0856324i | ||||
\(206\) | 0.564511 | + | 2.14277i | 0.0393313 | + | 0.149294i | ||||
\(207\) | 6.91326 | + | 15.7356i | 0.480505 | + | 1.09370i | ||||
\(208\) | 7.66381 | − | 12.7732i | 0.531389 | − | 0.885665i | ||||
\(209\) | −3.20434 | − | 5.55009i | −0.221649 | − | 0.383908i | ||||
\(210\) | 0.921290 | + | 1.12255i | 0.0635751 | + | 0.0774636i | ||||
\(211\) | −11.4454 | − | 6.60799i | −0.787932 | − | 0.454913i | 0.0513022 | − | 0.998683i | \(-0.483663\pi\) |
−0.839234 | + | 0.543771i | \(0.816996\pi\) | |||||||
\(212\) | −0.0541202 | + | 6.43776i | −0.00371699 | + | 0.442148i | ||||
\(213\) | −5.94193 | − | 1.94684i | −0.407134 | − | 0.133395i | ||||
\(214\) | 3.86978 | + | 3.90245i | 0.264533 | + | 0.266766i | ||||
\(215\) | 1.13987 | 0.0777388 | ||||||||
\(216\) | 2.58893 | − | 14.4671i | 0.176154 | − | 0.984363i | ||||
\(217\) | 6.21849 | + | 27.4640i | 0.422139 | + | 1.86438i | ||||
\(218\) | −0.993857 | + | 0.985537i | −0.0673125 | + | 0.0667490i | ||||
\(219\) | −11.9780 | − | 3.92454i | −0.809400 | − | 0.265196i | ||||
\(220\) | 0.900328 | + | 0.00756876i | 0.0607001 | + | 0.000510286i | ||||
\(221\) | −8.38643 | + | 14.5257i | −0.564133 | + | 0.977106i | ||||
\(222\) | −8.33333 | − | 16.6282i | −0.559296 | − | 1.11601i | ||||
\(223\) | 8.18863 | − | 4.72770i | 0.548351 | − | 0.316591i | −0.200106 | − | 0.979774i | \(-0.564129\pi\) |
0.748457 | + | 0.663184i | \(0.230795\pi\) | |||||||
\(224\) | 0.899652 | − | 14.9396i | 0.0601105 | − | 0.998192i | ||||
\(225\) | −1.62491 | + | 14.7602i | −0.108327 | + | 0.984013i | ||||
\(226\) | −1.05966 | − | 4.02225i | −0.0704875 | − | 0.267556i | ||||
\(227\) | −8.98099 | + | 5.18517i | −0.596089 | + | 0.344152i | −0.767501 | − | 0.641047i | \(-0.778500\pi\) |
0.171412 | + | 0.985199i | \(0.445167\pi\) | |||||||
\(228\) | 10.4718 | + | 3.52878i | 0.693512 | + | 0.233699i | ||||
\(229\) | −12.7073 | + | 22.0098i | −0.839725 | + | 1.45445i | 0.0503992 | + | 0.998729i | \(0.483951\pi\) |
−0.890124 | + | 0.455718i | \(0.849383\pi\) | |||||||
\(230\) | 0.477261 | − | 1.75168i | 0.0314697 | − | 0.115502i | ||||
\(231\) | 7.50600 | + | 5.33091i | 0.493859 | + | 0.350748i | ||||
\(232\) | −16.4195 | − | 4.62225i | −1.07799 | − | 0.303466i | ||||
\(233\) | − | 2.64486i | − | 0.173270i | −0.996240 | − | 0.0866352i | \(-0.972389\pi\) | ||
0.996240 | − | 0.0866352i | \(-0.0276115\pi\) | |||||||
\(234\) | −14.6978 | − | 5.79647i | −0.960828 | − | 0.378927i | ||||
\(235\) | − | 1.66378i | − | 0.108533i | ||||||
\(236\) | 10.2503 | − | 17.4143i | 0.667237 | − | 1.13357i | ||||
\(237\) | 12.0109 | − | 2.52209i | 0.780191 | − | 0.163827i | ||||
\(238\) | −0.730052 | + | 16.8366i | −0.0473223 | + | 1.09136i | ||||
\(239\) | −5.97586 | − | 3.45017i | −0.386547 | − | 0.223173i | 0.294116 | − | 0.955770i | \(-0.404975\pi\) |
−0.680663 | + | 0.732597i | \(0.738308\pi\) | |||||||
\(240\) | −1.17352 | + | 1.01638i | −0.0757505 | + | 0.0656069i | ||||
\(241\) | −0.525473 | + | 0.303382i | −0.0338487 | + | 0.0195426i | −0.516829 | − | 0.856089i | \(-0.672888\pi\) |
0.482980 | + | 0.875631i | \(0.339554\pi\) | |||||||
\(242\) | −9.52346 | + | 2.50895i | −0.612191 | + | 0.161281i | ||||
\(243\) | −15.5873 | − | 0.191961i | −0.999924 | − | 0.0123143i | ||||
\(244\) | 0.658697 | − | 0.372951i | 0.0421688 | − | 0.0238758i | ||||
\(245\) | 0.888083 | − | 1.29294i | 0.0567376 | − | 0.0826030i | ||||
\(246\) | 1.58128 | − | 26.7584i | 0.100819 | − | 1.70605i | ||||
\(247\) | 5.93971 | − | 10.2879i | 0.377935 | − | 0.654602i | ||||
\(248\) | −29.1736 | + | 7.42407i | −1.85253 | + | 0.471429i | ||||
\(249\) | −3.29651 | − | 15.6989i | −0.208908 | − | 0.994878i | ||||
\(250\) | 2.23890 | − | 2.22016i | 0.141601 | − | 0.140415i | ||||
\(251\) | − | 25.2201i | − | 1.59188i | −0.605377 | − | 0.795939i | \(-0.706978\pi\) | ||
0.605377 | − | 0.795939i | \(-0.293022\pi\) | |||||||
\(252\) | −15.7877 | + | 1.65771i | −0.994533 | + | 0.104426i | ||||
\(253\) | − | 11.5098i | − | 0.723615i | ||||||
\(254\) | −6.09114 | − | 6.14256i | −0.382192 | − | 0.385418i | ||||
\(255\) | 1.30196 | − | 1.16650i | 0.0815318 | − | 0.0730488i | ||||
\(256\) | 15.9910 | + | 0.537913i | 0.999435 | + | 0.0336196i | ||||
\(257\) | 10.6733 | − | 18.4867i | 0.665782 | − | 1.15317i | −0.313290 | − | 0.949657i | \(-0.601431\pi\) |
0.979073 | − | 0.203511i | \(-0.0652354\pi\) | |||||||
\(258\) | −6.85589 | + | 10.4046i | −0.426829 | + | 0.647764i | ||||
\(259\) | −14.7504 | + | 13.6390i | −0.916548 | + | 0.847485i | ||||
\(260\) | 0.822293 | + | 1.45231i | 0.0509964 | + | 0.0900686i | ||||
\(261\) | −1.97978 | + | 17.9837i | −0.122545 | + | 1.11316i | ||||
\(262\) | 1.42606 | + | 5.41302i | 0.0881020 | + | 0.334417i | ||||
\(263\) | −8.89018 | + | 5.13274i | −0.548192 | + | 0.316499i | −0.748392 | − | 0.663256i | \(-0.769174\pi\) |
0.200201 | + | 0.979755i | \(0.435841\pi\) | |||||||
\(264\) | −5.48420 | + | 8.17255i | −0.337529 | + | 0.502986i | ||||
\(265\) | −0.624676 | − | 0.360657i | −0.0383735 | − | 0.0221550i | ||||
\(266\) | 0.517061 | − | 11.9246i | 0.0317030 | − | 0.731142i | ||||
\(267\) | −2.07772 | + | 6.34139i | −0.127155 | + | 0.388087i | ||||
\(268\) | −8.36358 | + | 14.2089i | −0.510887 | + | 0.867950i | ||||
\(269\) | 1.37215i | 0.0836615i | 0.999125 | + | 0.0418308i | \(0.0133190\pi\) | ||||
−0.999125 | + | 0.0418308i | \(0.986681\pi\) | |||||||
\(270\) | 1.26759 | + | 1.05103i | 0.0771429 | + | 0.0639638i | ||||
\(271\) | − | 15.8831i | − | 0.964828i | −0.875943 | − | 0.482414i | \(-0.839760\pi\) | ||
0.875943 | − | 0.482414i | \(-0.160240\pi\) | |||||||
\(272\) | −18.0135 | − | 0.302888i | −1.09223 | − | 0.0183653i | ||||
\(273\) | −1.60100 | + | 16.9902i | −0.0968969 | + | 1.02829i | ||||
\(274\) | −7.34724 | − | 2.00182i | −0.443863 | − | 0.120935i | ||||
\(275\) | 4.97209 | − | 8.61191i | 0.299828 | − | 0.519318i | ||||
\(276\) | 13.1186 | + | 14.8920i | 0.789645 | + | 0.896394i | ||||
\(277\) | −21.9652 | + | 12.6816i | −1.31976 | + | 0.761963i | −0.983690 | − | 0.179874i | \(-0.942431\pi\) |
−0.336070 | + | 0.941837i | \(0.609098\pi\) | |||||||
\(278\) | 21.4337 | − | 5.64670i | 1.28551 | − | 0.338667i | ||||
\(279\) | 12.8431 | + | 29.2327i | 0.768894 | + | 1.75012i | ||||
\(280\) | 1.40690 | + | 0.912414i | 0.0840785 | + | 0.0545272i | ||||
\(281\) | 9.19271 | − | 5.30741i | 0.548391 | − | 0.316614i | −0.200082 | − | 0.979779i | \(-0.564121\pi\) |
0.748473 | + | 0.663165i | \(0.230787\pi\) | |||||||
\(282\) | 15.1868 | + | 10.0070i | 0.904361 | + | 0.595908i | ||||
\(283\) | 10.4056 | − | 18.0230i | 0.618546 | − | 1.07135i | −0.371205 | − | 0.928551i | \(-0.621055\pi\) |
0.989751 | − | 0.142803i | \(-0.0456115\pi\) | |||||||
\(284\) | −7.21978 | − | 0.0606944i | −0.428415 | − | 0.00360155i | ||||
\(285\) | −0.922115 | + | 0.826173i | −0.0546214 | + | 0.0489383i | ||||
\(286\) | 7.45002 | + | 7.51292i | 0.440529 | + | 0.444248i | ||||
\(287\) | −28.2380 | + | 6.39374i | −1.66684 | + | 0.377410i | ||||
\(288\) | −2.21911 | − | 16.8248i | −0.130762 | − | 0.991414i | ||||
\(289\) | 3.28606 | 0.193298 | ||||||||
\(290\) | 1.35705 | − | 1.34569i | 0.0796887 | − | 0.0790216i | ||||
\(291\) | −6.38255 | − | 30.3954i | −0.374152 | − | 1.78181i | ||||
\(292\) | −14.5540 | − | 0.122351i | −0.851707 | − | 0.00716002i | ||||
\(293\) | −14.5206 | − | 8.38348i | −0.848303 | − | 0.489768i | 0.0117746 | − | 0.999931i | \(-0.496252\pi\) |
−0.860078 | + | 0.510162i | \(0.829585\pi\) | |||||||
\(294\) | 6.46033 | + | 15.8828i | 0.376774 | + | 0.926305i | ||||
\(295\) | 1.13200 | + | 1.96069i | 0.0659077 | + | 0.114156i | ||||
\(296\) | −14.9937 | − | 15.3767i | −0.871492 | − | 0.893752i | ||||
\(297\) | 9.50499 | + | 4.31632i | 0.551535 | + | 0.250459i | ||||
\(298\) | −16.7134 | + | 4.40314i | −0.968182 | + | 0.255067i | ||||
\(299\) | 18.4767 | − | 10.6675i | 1.06853 | − | 0.616919i | ||||
\(300\) | 3.38246 | + | 16.8096i | 0.195287 | + | 0.970505i | ||||
\(301\) | 12.8539 | + | 3.98927i | 0.740884 | + | 0.229938i | ||||
\(302\) | 3.67819 | − | 13.5000i | 0.211656 | − | 0.776836i | ||||
\(303\) | −5.27401 | − | 25.1163i | −0.302984 | − | 1.44289i | ||||
\(304\) | 12.7581 | + | 0.214521i | 0.731726 | + | 0.0123036i | ||||
\(305\) | 0.0848089i | 0.00485614i | ||||||||
\(306\) | 2.81687 | + | 18.9001i | 0.161029 | + | 1.08045i | ||||
\(307\) | 0.789650 | 0.0450677 | 0.0225339 | − | 0.999746i | \(-0.492827\pi\) | ||||
0.0225339 | + | 0.999746i | \(0.492827\pi\) | |||||||
\(308\) | 10.1261 | + | 3.23627i | 0.576989 | + | 0.184403i | ||||
\(309\) | 2.02128 | − | 1.81097i | 0.114987 | − | 0.103023i | ||||
\(310\) | 0.886629 | − | 3.25417i | 0.0503572 | − | 0.184825i | ||||
\(311\) | −13.1909 | + | 22.8473i | −0.747986 | + | 1.29555i | 0.200800 | + | 0.979632i | \(0.435646\pi\) |
−0.948786 | + | 0.315918i | \(0.897687\pi\) | |||||||
\(312\) | −18.2023 | − | 1.22929i | −1.03050 | − | 0.0695948i | ||||
\(313\) | 22.9717 | − | 13.2627i | 1.29844 | − | 0.749653i | 0.318302 | − | 0.947989i | \(-0.396887\pi\) |
0.980134 | + | 0.198337i | \(0.0635540\pi\) | |||||||
\(314\) | −8.90291 | + | 2.34546i | −0.502420 | + | 0.132362i | ||||
\(315\) | 0.709898 | − | 1.63077i | 0.0399982 | − | 0.0918833i | ||||
\(316\) | 12.3320 | − | 6.98230i | 0.693727 | − | 0.392785i | ||||
\(317\) | 14.4111 | + | 24.9608i | 0.809409 | + | 1.40194i | 0.913274 | + | 0.407346i | \(0.133546\pi\) |
−0.103864 | + | 0.994591i | \(0.533121\pi\) | |||||||
\(318\) | 7.04920 | − | 3.53276i | 0.395300 | − | 0.198107i | ||||
\(319\) | 6.05796 | − | 10.4927i | 0.339181 | − | 0.587479i | ||||
\(320\) | −0.935185 | + | 1.52938i | −0.0522784 | + | 0.0854948i | ||||
\(321\) | 2.09576 | − | 6.39643i | 0.116974 | − | 0.357014i | ||||
\(322\) | 11.5123 | − | 18.0826i | 0.641555 | − | 1.00770i | ||||
\(323\) | −14.3676 | −0.799437 | ||||||||
\(324\) | −17.2177 | + | 5.24883i | −0.956540 | + | 0.291602i | ||||
\(325\) | 18.4330 | 1.02248 | ||||||||
\(326\) | 12.4467 | − | 12.3425i | 0.689359 | − | 0.683588i | ||||
\(327\) | 1.62901 | + | 0.533737i | 0.0900845 | + | 0.0295157i | ||||
\(328\) | −7.63330 | − | 29.9958i | −0.421479 | − | 1.65624i | ||||
\(329\) | 5.82282 | − | 18.7618i | 0.321022 | − | 1.03437i | ||||
\(330\) | −0.494060 | − | 0.985838i | −0.0271971 | − | 0.0542686i | ||||
\(331\) | 12.7196 | − | 7.34367i | 0.699133 | − | 0.403645i | −0.107891 | − | 0.994163i | \(-0.534410\pi\) |
0.807024 | + | 0.590518i | \(0.201077\pi\) | |||||||
\(332\) | −9.12626 | − | 16.1186i | −0.500869 | − | 0.884621i | ||||
\(333\) | −13.4801 | + | 18.3629i | −0.738707 | + | 1.00628i | ||||
\(334\) | 9.48233 | − | 2.49811i | 0.518850 | − | 0.136691i | ||||
\(335\) | −0.923641 | − | 1.59979i | −0.0504639 | − | 0.0874061i | ||||
\(336\) | −16.7903 | + | 7.35422i | −0.915988 | + | 0.401205i | ||||
\(337\) | −8.28231 | + | 14.3454i | −0.451166 | + | 0.781442i | −0.998459 | − | 0.0554988i | \(-0.982325\pi\) |
0.547293 | + | 0.836941i | \(0.315658\pi\) | |||||||
\(338\) | −0.322727 | + | 1.18450i | −0.0175540 | + | 0.0644280i | ||||
\(339\) | −3.79420 | + | 3.39943i | −0.206073 | + | 0.184632i | ||||
\(340\) | 1.02392 | − | 1.73954i | 0.0555298 | − | 0.0943399i | ||||
\(341\) | − | 21.3823i | − | 1.15791i | ||||||
\(342\) | −1.99505 | − | 13.3860i | −0.107880 | − | 0.723834i | ||||
\(343\) | 14.5395 | − | 11.4719i | 0.785058 | − | 0.619422i | ||||
\(344\) | −3.89882 | + | 13.8496i | −0.210210 | + | 0.746721i | ||||
\(345\) | −2.17610 | + | 0.456947i | −0.117158 | + | 0.0246012i | ||||
\(346\) | −16.5233 | − | 4.50194i | −0.888301 | − | 0.242026i | ||||
\(347\) | 14.1179 | − | 24.4529i | 0.757888 | − | 1.31270i | −0.186038 | − | 0.982543i | \(-0.559565\pi\) |
0.943926 | − | 0.330158i | \(-0.107102\pi\) | |||||||
\(348\) | 4.12117 | + | 20.4808i | 0.220918 | + | 1.09788i | ||||
\(349\) | 0.485151 | + | 0.840306i | 0.0259695 | + | 0.0449806i | 0.878718 | − | 0.477341i | \(-0.158399\pi\) |
−0.852749 | + | 0.522322i | \(0.825066\pi\) | |||||||
\(350\) | 16.4252 | − | 8.55669i | 0.877966 | − | 0.457374i | ||||
\(351\) | 1.88042 | + | 19.2588i | 0.100370 | + | 1.02796i | ||||
\(352\) | −3.17143 | + | 10.9132i | −0.169038 | + | 0.581676i | ||||
\(353\) | 7.34447 | + | 12.7210i | 0.390907 | + | 0.677070i | 0.992569 | − | 0.121680i | \(-0.0388282\pi\) |
−0.601663 | + | 0.798750i | \(0.705495\pi\) | |||||||
\(354\) | −24.7054 | − | 1.45996i | −1.31308 | − | 0.0775960i | ||||
\(355\) | 0.404467 | − | 0.700558i | 0.0214669 | − | 0.0371817i | ||||
\(356\) | −0.0647747 | + | 7.70516i | −0.00343305 | + | 0.408372i | ||||
\(357\) | 18.7641 | − | 8.59754i | 0.993099 | − | 0.455030i | ||||
\(358\) | −9.24807 | − | 9.32614i | −0.488776 | − | 0.492902i | ||||
\(359\) | 0.545972i | 0.0288153i | 0.999896 | + | 0.0144076i | \(0.00458625\pi\) | ||||
−0.999896 | + | 0.0144076i | \(0.995414\pi\) | |||||||
\(360\) | 1.76287 | + | 0.712416i | 0.0929116 | + | 0.0375476i | ||||
\(361\) | −8.82409 | −0.464426 | ||||||||
\(362\) | 6.11040 | + | 6.16198i | 0.321155 | + | 0.323866i | ||||
\(363\) | 8.04881 | + | 8.98350i | 0.422453 | + | 0.471512i | ||||
\(364\) | 4.18991 | + | 19.2549i | 0.219611 | + | 1.00923i | ||||
\(365\) | 0.815344 | − | 1.41222i | 0.0426770 | − | 0.0739188i | ||||
\(366\) | −0.774125 | − | 0.510091i | −0.0404641 | − | 0.0266629i | ||||
\(367\) | −5.91301 | + | 3.41388i | −0.308657 | + | 0.178203i | −0.646325 | − | 0.763062i | \(-0.723695\pi\) |
0.337669 | + | 0.941265i | \(0.390362\pi\) | |||||||
\(368\) | 19.6507 | + | 11.7902i | 1.02436 | + | 0.614607i | ||||
\(369\) | −30.0565 | + | 13.2050i | −1.56468 | + | 0.687426i | ||||
\(370\) | 2.32687 | − | 0.613013i | 0.120968 | − | 0.0318690i | ||||
\(371\) | −5.78199 | − | 6.25317i | −0.300186 | − | 0.324649i | ||||
\(372\) | 24.3709 | + | 27.6656i | 1.26357 | + | 1.43439i | ||||
\(373\) | 28.5225 | + | 16.4675i | 1.47684 | + | 0.852653i | 0.999658 | − | 0.0261520i | \(-0.00832538\pi\) |
0.477181 | + | 0.878805i | \(0.341659\pi\) | |||||||
\(374\) | 3.36394 | − | 12.3466i | 0.173945 | − | 0.638427i | ||||
\(375\) | −3.66974 | − | 1.20237i | −0.189505 | − | 0.0620902i | ||||
\(376\) | 20.2152 | + | 5.69079i | 1.04252 | + | 0.293480i | ||||
\(377\) | 22.4586 | 1.15668 | ||||||||
\(378\) | 10.6157 | + | 16.2883i | 0.546011 | + | 0.837778i | ||||
\(379\) | 1.43271i | 0.0735933i | 0.999323 | + | 0.0367967i | \(0.0117154\pi\) | ||||
−0.999323 | + | 0.0367967i | \(0.988285\pi\) | |||||||
\(380\) | −0.725192 | + | 1.23203i | −0.0372016 | + | 0.0632020i | ||||
\(381\) | −3.29878 | + | 10.0681i | −0.169001 | + | 0.515807i | ||||
\(382\) | −29.5338 | − | 8.04675i | −1.51108 | − | 0.411707i | ||||
\(383\) | −0.0237067 | + | 0.0410612i | −0.00121136 | + | 0.00209813i | −0.866630 | − | 0.498951i | \(-0.833719\pi\) |
0.865419 | + | 0.501049i | \(0.167052\pi\) | |||||||
\(384\) | −8.33521 | − | 17.7348i | −0.425354 | − | 0.905027i | ||||
\(385\) | −0.874513 | + | 0.808617i | −0.0445693 | + | 0.0412109i | ||||
\(386\) | 6.29547 | − | 1.65854i | 0.320431 | − | 0.0844173i | ||||
\(387\) | 15.1691 | + | 1.66992i | 0.771087 | + | 0.0848867i | ||||
\(388\) | −17.6698 | − | 31.2080i | −0.897049 | − | 1.58434i | ||||
\(389\) | −5.35013 | − | 9.26669i | −0.271262 | − | 0.469840i | 0.697923 | − | 0.716173i | \(-0.254108\pi\) |
−0.969185 | + | 0.246333i | \(0.920774\pi\) | |||||||
\(390\) | 1.12466 | − | 1.70681i | 0.0569495 | − | 0.0864277i | ||||
\(391\) | −22.3468 | − | 12.9019i | −1.13012 | − | 0.652478i | ||||
\(392\) | 12.6718 | + | 15.2127i | 0.640022 | + | 0.768356i | ||||
\(393\) | 5.10611 | − | 4.57484i | 0.257569 | − | 0.230770i | ||||
\(394\) | 12.6037 | + | 12.7101i | 0.634967 | + | 0.640327i | ||||
\(395\) | 1.58777i | 0.0798894i | ||||||||
\(396\) | 11.9702 | + | 1.41970i | 0.601524 | + | 0.0713429i | ||||
\(397\) | −10.0443 | −0.504108 | −0.252054 | − | 0.967713i | \(-0.581106\pi\) | ||||
−0.252054 | + | 0.967713i | \(0.581106\pi\) | |||||||
\(398\) | −15.5285 | + | 15.3985i | −0.778373 | + | 0.771857i | ||||
\(399\) | −13.2897 | + | 6.08922i | −0.665316 | + | 0.304842i | ||||
\(400\) | 9.60991 | + | 17.3106i | 0.480495 | + | 0.865529i | ||||
\(401\) | −9.24865 | − | 5.33971i | −0.461855 | − | 0.266652i | 0.250969 | − | 0.967995i | \(-0.419251\pi\) |
−0.712824 | + | 0.701343i | \(0.752584\pi\) | |||||||
\(402\) | 20.1580 | + | 1.19123i | 1.00539 | + | 0.0594133i | ||||
\(403\) | 34.3250 | − | 19.8175i | 1.70985 | − | 0.987182i | ||||
\(404\) | −14.6009 | − | 25.7877i | −0.726421 | − | 1.28299i | ||||
\(405\) | 0.438714 | − | 1.96843i | 0.0217999 | − | 0.0978119i | ||||
\(406\) | 20.0124 | − | 10.4254i | 0.993200 | − | 0.517405i | ||||
\(407\) | 13.2111 | − | 7.62742i | 0.654849 | − | 0.378077i | ||||
\(408\) | 9.71986 | + | 19.8088i | 0.481205 | + | 0.980683i | ||||
\(409\) | 5.10080 | + | 2.94495i | 0.252218 | + | 0.145618i | 0.620780 | − | 0.783985i | \(-0.286816\pi\) |
−0.368561 | + | 0.929603i | \(0.620150\pi\) | |||||||
\(410\) | 3.34588 | + | 0.911617i | 0.165241 | + | 0.0450215i | ||||
\(411\) | 1.91662 | + | 9.12746i | 0.0945398 | + | 0.450224i | ||||
\(412\) | 1.58962 | − | 2.70062i | 0.0783151 | − | 0.133050i | ||||
\(413\) | 5.90320 | + | 26.0715i | 0.290477 | + | 1.28289i | ||||
\(414\) | 8.91744 | − | 22.6116i | 0.438268 | − | 1.11130i | ||||
\(415\) | 2.07531 | 0.101873 | ||||||||
\(416\) | −20.4583 | + | 5.02348i | −1.00305 | + | 0.246297i | ||||
\(417\) | −18.1148 | − | 20.2185i | −0.887088 | − | 0.990104i | ||||
\(418\) | −2.38252 | + | 8.74449i | −0.116533 | + | 0.427707i | ||||
\(419\) | −14.3453 | − | 8.28228i | −0.700815 | − | 0.404616i | 0.106836 | − | 0.994277i | \(-0.465928\pi\) |
−0.807651 | + | 0.589661i | \(0.799261\pi\) | |||||||
\(420\) | 0.209853 | − | 2.04298i | 0.0102398 | − | 0.0996872i | ||||
\(421\) | −31.0738 | + | 17.9404i | −1.51444 | + | 0.874364i | −0.514586 | + | 0.857439i | \(0.672054\pi\) |
−0.999857 | + | 0.0169248i | \(0.994612\pi\) | |||||||
\(422\) | 4.76146 | + | 18.0735i | 0.231784 | + | 0.879806i | ||||
\(423\) | 2.43745 | − | 22.1411i | 0.118513 | − | 1.07654i | ||||
\(424\) | 6.51866 | − | 6.35630i | 0.316574 | − | 0.308689i | ||||
\(425\) | −11.1469 | − | 19.3071i | −0.540706 | − | 0.936530i | ||||
\(426\) | 3.96189 | + | 7.90550i | 0.191954 | + | 0.383023i | ||||
\(427\) | −0.296809 | + | 0.956352i | −0.0143636 | + | 0.0462811i | ||||
\(428\) | 0.0653369 | − | 7.77203i | 0.00315818 | − | 0.375675i | ||||
\(429\) | 4.03471 | − | 12.3143i | 0.194798 | − | 0.594539i | ||||
\(430\) | −1.13507 | − | 1.14466i | −0.0547381 | − | 0.0552002i | ||||
\(431\) | − | 7.54421i | − | 0.363392i | −0.983355 | − | 0.181696i | \(-0.941841\pi\) | ||
0.983355 | − | 0.181696i | \(-0.0581586\pi\) | |||||||
\(432\) | −17.1058 | + | 11.8064i | −0.823004 | + | 0.568035i | ||||
\(433\) | − | 1.43470i | − | 0.0689471i | −0.999406 | − | 0.0344736i | \(-0.989025\pi\) | ||
0.999406 | − | 0.0344736i | \(-0.0109755\pi\) | |||||||
\(434\) | 21.3869 | − | 33.5929i | 1.02660 | − | 1.61251i | ||||
\(435\) | −2.22431 | − | 0.728785i | −0.106648 | − | 0.0349426i | ||||
\(436\) | 1.97934 | + | 0.0166397i | 0.0947933 | + | 0.000796896i | ||||
\(437\) | 15.8271 | + | 9.13780i | 0.757115 | + | 0.437120i | ||||
\(438\) | 7.98657 | + | 15.9363i | 0.381613 | + | 0.761464i | ||||
\(439\) | −1.32217 | + | 0.763355i | −0.0631037 | + | 0.0364329i | −0.531220 | − | 0.847234i | \(-0.678266\pi\) |
0.468116 | + | 0.883667i | \(0.344933\pi\) | |||||||
\(440\) | −0.888935 | − | 0.911641i | −0.0423783 | − | 0.0434608i | ||||
\(441\) | 13.7125 | − | 15.9050i | 0.652975 | − | 0.757380i | ||||
\(442\) | 22.9378 | − | 6.04294i | 1.09104 | − | 0.287433i | ||||
\(443\) | 7.02505 | + | 12.1677i | 0.333770 | + | 0.578107i | 0.983248 | − | 0.182274i | \(-0.0583458\pi\) |
−0.649478 | + | 0.760381i | \(0.725012\pi\) | |||||||
\(444\) | −8.39970 | + | 24.9264i | −0.398632 | + | 1.18296i | ||||
\(445\) | −0.747655 | − | 0.431659i | −0.0354422 | − | 0.0204626i | ||||
\(446\) | −12.9017 | − | 3.51518i | −0.610912 | − | 0.166449i | ||||
\(447\) | 14.1254 | + | 15.7658i | 0.668111 | + | 0.745697i | ||||
\(448\) | −15.8981 | + | 13.9732i | −0.751114 | + | 0.660172i | ||||
\(449\) | 33.6622i | 1.58862i | 0.607516 | + | 0.794308i | \(0.292166\pi\) | ||||
−0.607516 | + | 0.794308i | \(0.707834\pi\) | |||||||
\(450\) | 16.4402 | − | 13.0663i | 0.774997 | − | 0.615951i | ||||
\(451\) | 21.9849 | 1.03523 | ||||||||
\(452\) | −2.98393 | + | 5.06941i | −0.140352 | + | 0.238445i | ||||
\(453\) | −16.7710 | + | 3.52163i | −0.787969 | + | 0.165461i | ||||
\(454\) | 14.1501 | + | 3.85532i | 0.664096 | + | 0.180939i | ||||
\(455\) | −2.10859 | − | 0.654413i | −0.0988523 | − | 0.0306793i | ||||
\(456\) | −6.88411 | − | 14.0296i | −0.322378 | − | 0.656998i | ||||
\(457\) | −14.9039 | − | 25.8143i | −0.697175 | − | 1.20754i | −0.969442 | − | 0.245321i | \(-0.921107\pi\) |
0.272267 | − | 0.962222i | \(-0.412227\pi\) | |||||||
\(458\) | 34.7559 | − | 9.15642i | 1.62404 | − | 0.427851i | ||||
\(459\) | 19.0350 | − | 13.6160i | 0.888475 | − | 0.635539i | ||||
\(460\) | −2.23428 | + | 1.26504i | −0.104174 | + | 0.0589827i | ||||
\(461\) | 5.83258 | − | 3.36744i | 0.271650 | − | 0.156837i | −0.357987 | − | 0.933727i | \(-0.616537\pi\) |
0.629637 | + | 0.776889i | \(0.283203\pi\) | |||||||
\(462\) | −2.12111 | − | 12.8459i | −0.0986831 | − | 0.597647i | ||||
\(463\) | −4.34234 | + | 7.52115i | −0.201805 | + | 0.349537i | −0.949110 | − | 0.314944i | \(-0.898014\pi\) |
0.747305 | + | 0.664481i | \(0.231348\pi\) | |||||||
\(464\) | 11.7087 | + | 21.0911i | 0.543560 | + | 0.979130i | ||||
\(465\) | −4.04265 | + | 0.848890i | −0.187473 | + | 0.0393663i | ||||
\(466\) | −2.65595 | + | 2.63372i | −0.123035 | + | 0.122005i | ||||
\(467\) | 11.8122i | 0.546602i | 0.961929 | + | 0.273301i | \(0.0881156\pi\) | ||||
−0.961929 | + | 0.273301i | \(0.911884\pi\) | |||||||
\(468\) | 8.81516 | + | 20.5315i | 0.407481 | + | 0.949071i | ||||
\(469\) | −4.81663 | − | 21.2727i | −0.222411 | − | 0.982281i | ||||
\(470\) | −1.67076 | + | 1.65678i | −0.0770666 | + | 0.0764214i | ||||
\(471\) | 7.52434 | + | 8.39813i | 0.346703 | + | 0.386966i | ||||
\(472\) | −27.6945 | + | 7.04766i | −1.27474 | + | 0.324395i | ||||
\(473\) | −8.85047 | − | 5.10982i | −0.406945 | − | 0.234950i | ||||
\(474\) | −14.4930 | − | 9.54980i | −0.665684 | − | 0.438637i | ||||
\(475\) | 7.89484 | + | 13.6743i | 0.362240 | + | 0.627418i | ||||
\(476\) | 17.6342 | − | 16.0326i | 0.808263 | − | 0.734853i | ||||
\(477\) | −7.78461 | − | 5.71465i | −0.356433 | − | 0.261656i | ||||
\(478\) | 2.48606 | + | 9.43656i | 0.113710 | + | 0.431618i | ||||
\(479\) | 10.7923 | + | 18.6929i | 0.493115 | + | 0.854100i | 0.999969 | − | 0.00793209i | \(-0.00252489\pi\) |
−0.506854 | + | 0.862032i | \(0.669192\pi\) | |||||||
\(480\) | 2.18922 | + | 0.166347i | 0.0999237 | + | 0.00759268i | ||||
\(481\) | 24.4886 | + | 14.1385i | 1.11658 | + | 0.644660i | ||||
\(482\) | 0.827915 | + | 0.225573i | 0.0377105 | + | 0.0102746i | ||||
\(483\) | −26.1382 | − | 2.46302i | −1.18933 | − | 0.112071i | ||||
\(484\) | 12.0028 | + | 7.06502i | 0.545583 | + | 0.321137i | ||||
\(485\) | 4.01810 | 0.182453 | ||||||||
\(486\) | 15.3289 | + | 15.8438i | 0.695331 | + | 0.718690i | ||||
\(487\) | −11.3462 | −0.514146 | −0.257073 | − | 0.966392i | \(-0.582758\pi\) | ||||
−0.257073 | + | 0.966392i | \(0.582758\pi\) | |||||||
\(488\) | −1.03044 | − | 0.290079i | −0.0466457 | − | 0.0131313i | ||||
\(489\) | −20.4011 | − | 6.68433i | −0.922571 | − | 0.302276i | ||||
\(490\) | −2.18271 | + | 0.395687i | −0.0986046 | + | 0.0178753i | ||||
\(491\) | 15.8498 | − | 27.4527i | 0.715293 | − | 1.23892i | −0.247553 | − | 0.968874i | \(-0.579626\pi\) |
0.962846 | − | 0.270050i | \(-0.0870403\pi\) | |||||||
\(492\) | −28.4452 | + | 25.0578i | −1.28241 | + | 1.12969i | ||||
\(493\) | −13.5814 | − | 23.5236i | −0.611674 | − | 1.05945i | ||||
\(494\) | −16.2457 | + | 4.27992i | −0.730929 | + | 0.192563i | ||||
\(495\) | −0.799200 | + | 1.08869i | −0.0359214 | + | 0.0489328i | ||||
\(496\) | 36.5060 | + | 21.9032i | 1.63917 | + | 0.983482i | ||||
\(497\) | 7.01277 | − | 6.48435i | 0.314566 | − | 0.290863i | ||||
\(498\) | −12.4821 | + | 18.9431i | −0.559337 | + | 0.848862i | ||||
\(499\) | −32.0295 | − | 18.4922i | −1.43384 | − | 0.827826i | −0.436426 | − | 0.899740i | \(-0.643756\pi\) |
−0.997411 | + | 0.0719145i | \(0.977089\pi\) | |||||||
\(500\) | −4.45895 | − | 0.0374849i | −0.199410 | − | 0.00167638i | ||||
\(501\) | −8.01405 | − | 8.94471i | −0.358041 | − | 0.399620i | ||||
\(502\) | −25.3259 | + | 25.1139i | −1.13035 | + | 1.12089i | ||||
\(503\) | −12.0741 | −0.538359 | −0.269180 | − | 0.963090i | \(-0.586753\pi\) | ||||
−0.269180 | + | 0.963090i | \(0.586753\pi\) | |||||||
\(504\) | 17.3859 | + | 14.2032i | 0.774429 | + | 0.632661i | ||||
\(505\) | 3.32023 | 0.147748 | ||||||||
\(506\) | −11.5581 | + | 11.4613i | −0.513819 | + | 0.509518i | ||||
\(507\) | 1.47149 | − | 0.308990i | 0.0653514 | − | 0.0137227i | ||||
\(508\) | −0.102842 | + | 12.2334i | −0.00456287 | + | 0.542768i | ||||
\(509\) | 21.0323 | + | 12.1430i | 0.932239 | + | 0.538229i | 0.887519 | − | 0.460771i | \(-0.152427\pi\) |
0.0447202 | + | 0.999000i | \(0.485760\pi\) | |||||||
\(510\) | −2.46786 | − | 0.145838i | −0.109279 | − | 0.00645780i | ||||
\(511\) | 14.1367 | − | 13.0715i | 0.625369 | − | 0.578247i | ||||
\(512\) | −15.3834 | − | 16.5937i | −0.679858 | − | 0.733344i | ||||
\(513\) | −13.4815 | + | 9.64353i | −0.595225 | + | 0.425772i | ||||
\(514\) | −29.1926 | + | 7.69077i | −1.28763 | + | 0.339225i | ||||
\(515\) | 0.175552 | + | 0.304065i | 0.00773573 | + | 0.0133987i | ||||
\(516\) | 17.2753 | − | 3.47616i | 0.760502 | − | 0.153030i | ||||
\(517\) | −7.45840 | + | 12.9183i | −0.328020 | + | 0.568148i | ||||
\(518\) | 28.3845 | + | 1.23078i | 1.24714 | + | 0.0540773i | ||||
\(519\) | 4.31032 | + | 20.5269i | 0.189202 | + | 0.901031i | ||||
\(520\) | 0.639575 | − | 2.27194i | 0.0280472 | − | 0.0996311i | ||||
\(521\) | −9.35023 | −0.409641 | −0.204820 | − | 0.978800i | \(-0.565661\pi\) | ||||
−0.204820 | + | 0.978800i | \(0.565661\pi\) | |||||||
\(522\) | 20.0306 | − | 15.9199i | 0.876715 | − | 0.696795i | ||||
\(523\) | −25.5387 | −1.11673 | −0.558366 | − | 0.829595i | \(-0.688571\pi\) | ||||
−0.558366 | + | 0.829595i | \(0.688571\pi\) | |||||||
\(524\) | 4.01567 | − | 6.82225i | 0.175425 | − | 0.298032i | ||||
\(525\) | −18.4932 | − | 13.1343i | −0.807111 | − | 0.573226i | ||||
\(526\) | 14.0070 | + | 3.81634i | 0.610734 | + | 0.166400i | ||||
\(527\) | −41.5146 | − | 23.9685i | −1.80840 | − | 1.04408i | ||||
\(528\) | 13.6679 | − | 2.63093i | 0.594820 | − | 0.114497i | ||||
\(529\) | 4.91120 | + | 8.50644i | 0.213530 | + | 0.369845i | ||||
\(530\) | 0.259875 | + | 0.986434i | 0.0112883 | + | 0.0428479i | ||||
\(531\) | 12.1919 | + | 27.7505i | 0.529083 | + | 1.20427i | ||||
\(532\) | −12.4895 | + | 11.3551i | −0.541487 | + | 0.492307i | ||||
\(533\) | 20.3760 | + | 35.2923i | 0.882584 | + | 1.52868i | ||||
\(534\) | 8.43697 | − | 4.22824i | 0.365103 | − | 0.182974i | ||||
\(535\) | 0.754144 | + | 0.435405i | 0.0326045 | + | 0.0188242i | ||||
\(536\) | 22.5969 | − | 5.75044i | 0.976037 | − | 0.248381i | ||||
\(537\) | −5.00848 | + | 15.2863i | −0.216132 | + | 0.659652i | ||||
\(538\) | 1.37791 | − | 1.36637i | 0.0594058 | − | 0.0589085i | ||||
\(539\) | −12.6914 | + | 6.05785i | −0.546659 | + | 0.260930i | ||||
\(540\) | −0.206807 | − | 2.31951i | −0.00889954 | − | 0.0998158i | ||||
\(541\) | − | 10.6421i | − | 0.457539i | −0.973481 | − | 0.228769i | \(-0.926530\pi\) | ||
0.973481 | − | 0.228769i | \(-0.0734701\pi\) | |||||||
\(542\) | −15.9497 | + | 15.8162i | −0.685098 | + | 0.679363i | ||||
\(543\) | 3.30921 | − | 10.1000i | 0.142012 | − | 0.433432i | ||||
\(544\) | 17.6334 | + | 18.3906i | 0.756028 | + | 0.788492i | ||||
\(545\) | −0.110887 | + | 0.192062i | −0.00474987 | + | 0.00822701i | ||||
\(546\) | 18.6557 | − | 15.3109i | 0.798391 | − | 0.655247i | ||||
\(547\) | 37.2026 | − | 21.4789i | 1.59067 | − | 0.918372i | 0.597474 | − | 0.801888i | \(-0.296171\pi\) |
0.993193 | − | 0.116484i | \(-0.0371623\pi\) | |||||||
\(548\) | 5.30607 | + | 9.37145i | 0.226664 | + | 0.400329i | ||||
\(549\) | −0.124245 | + | 1.12861i | −0.00530266 | + | 0.0481678i | ||||
\(550\) | −13.5992 | + | 3.58269i | −0.579871 | + | 0.152767i | ||||
\(551\) | 9.61902 | + | 16.6606i | 0.409784 | + | 0.709767i | ||||
\(552\) | 1.89117 | − | 28.0029i | 0.0804936 | − | 1.19188i | ||||
\(553\) | −5.55679 | + | 17.9046i | −0.236299 | + | 0.761381i | ||||
\(554\) | 34.6074 | + | 9.42912i | 1.47033 | + | 0.400605i | ||||
\(555\) | −1.96657 | − | 2.19494i | −0.0834763 | − | 0.0931702i | ||||
\(556\) | −27.0138 | − | 15.9007i | −1.14564 | − | 0.674341i | ||||
\(557\) | −29.7345 | −1.25989 | −0.629946 | − | 0.776639i | \(-0.716923\pi\) | ||||
−0.629946 | + | 0.776639i | \(0.716923\pi\) | |||||||
\(558\) | 16.5663 | − | 42.0065i | 0.701309 | − | 1.77828i | ||||
\(559\) | − | 18.9436i | − | 0.801228i | ||||||
\(560\) | −0.484735 | − | 2.32137i | −0.0204838 | − | 0.0980959i | ||||
\(561\) | −15.3381 | + | 3.22076i | −0.647576 | + | 0.135980i | ||||
\(562\) | −14.4837 | − | 3.94621i | −0.610956 | − | 0.166461i | ||||
\(563\) | 34.0287 | + | 19.6465i | 1.43414 | + | 0.828001i | 0.997433 | − | 0.0716032i | \(-0.0228115\pi\) |
0.436706 | + | 0.899604i | \(0.356145\pi\) | |||||||
\(564\) | −5.07388 | − | 25.2154i | −0.213649 | − | 1.06176i | ||||
\(565\) | −0.329533 | − | 0.570768i | −0.0138636 | − | 0.0240124i | ||||
\(566\) | −28.4603 | + | 7.49784i | −1.19628 | + | 0.315158i | ||||
\(567\) | 11.8362 | − | 20.6617i | 0.497072 | − | 0.867709i | ||||
\(568\) | 7.12843 | + | 7.31051i | 0.299102 | + | 0.306742i | ||||
\(569\) | 31.1053 | − | 17.9587i | 1.30400 | − | 0.752867i | 0.322916 | − | 0.946428i | \(-0.395337\pi\) |
0.981088 | + | 0.193561i | \(0.0620037\pi\) | |||||||
\(570\) | 1.74787 | + | 0.103290i | 0.0732102 | + | 0.00432633i | ||||
\(571\) | −18.9149 | − | 10.9205i | −0.791565 | − | 0.457010i | 0.0489482 | − | 0.998801i | \(-0.484413\pi\) |
−0.840513 | + | 0.541791i | \(0.817746\pi\) | |||||||
\(572\) | 0.125785 | − | 14.9625i | 0.00525934 | − | 0.625615i | ||||
\(573\) | 7.70424 | + | 36.6897i | 0.321849 | + | 1.53273i | ||||
\(574\) | 34.5396 | + | 21.9896i | 1.44166 | + | 0.917829i | ||||
\(575\) | 28.3577i | 1.18260i | ||||||||
\(576\) | −14.6857 | + | 18.9824i | −0.611903 | + | 0.790933i | ||||
\(577\) | 9.91668i | 0.412837i | 0.978464 | + | 0.206418i | \(0.0661808\pi\) | ||||
−0.978464 | + | 0.206418i | \(0.933819\pi\) | |||||||
\(578\) | −3.27222 | − | 3.29985i | −0.136106 | − | 0.137255i | ||||
\(579\) | −5.32066 | − | 5.93854i | −0.221119 | − | 0.246797i | ||||
\(580\) | −2.70267 | − | 0.0227204i | −0.112222 | − | 0.000943415i | ||||
\(581\) | 23.4023 | + | 7.26303i | 0.970891 | + | 0.301321i | ||||
\(582\) | −24.1673 | + | 36.6767i | −1.00177 | + | 1.52030i | ||||
\(583\) | 3.23350 | + | 5.60059i | 0.133918 | + | 0.231953i | ||||
\(584\) | 14.3698 | + | 14.7369i | 0.594627 | + | 0.609816i | ||||
\(585\) | −2.48838 | − | 0.273939i | −0.102882 | − | 0.0113260i | ||||
\(586\) | 6.04081 | + | 22.9297i | 0.249544 | + | 0.947217i | ||||
\(587\) | 20.2319 | − | 11.6809i | 0.835061 | − | 0.482123i | −0.0205215 | − | 0.999789i | \(-0.506533\pi\) |
0.855582 | + | 0.517667i | \(0.173199\pi\) | |||||||
\(588\) | 9.51632 | − | 22.3034i | 0.392446 | − | 0.919775i | ||||
\(589\) | 29.4028 | + | 16.9757i | 1.21152 | + | 0.699472i | ||||
\(590\) | 0.841675 | − | 3.08918i | 0.0346512 | − | 0.127179i | ||||
\(591\) | 6.82580 | − | 20.8329i | 0.280776 | − | 0.856952i | ||||
\(592\) | −0.510633 | + | 30.3685i | −0.0209869 | + | 1.24814i | ||||
\(593\) | −26.4683 | −1.08692 | −0.543462 | − | 0.839434i | \(-0.682887\pi\) | ||||
−0.543462 | + | 0.839434i | \(0.682887\pi\) | |||||||
\(594\) | −5.13052 | − | 13.8430i | −0.210508 | − | 0.567985i | ||||
\(595\) | 0.589680 | + | 2.60432i | 0.0241745 | + | 0.106767i | ||||
\(596\) | 21.0646 | + | 12.3989i | 0.862841 | + | 0.507880i | ||||
\(597\) | 25.4525 | + | 8.33936i | 1.04170 | + | 0.341307i | ||||
\(598\) | −29.1111 | − | 7.93160i | −1.19044 | − | 0.324347i | ||||
\(599\) | 9.86453 | + | 5.69529i | 0.403054 | + | 0.232703i | 0.687801 | − | 0.725899i | \(-0.258576\pi\) |
−0.284747 | + | 0.958603i | \(0.591910\pi\) | |||||||
\(600\) | 13.5119 | − | 20.1355i | 0.551622 | − | 0.822028i | ||||
\(601\) | −17.1393 | + | 9.89538i | −0.699127 | + | 0.403641i | −0.807022 | − | 0.590521i | \(-0.798922\pi\) |
0.107895 | + | 0.994162i | \(0.465589\pi\) | |||||||
\(602\) | −8.79372 | − | 16.8802i | −0.358405 | − | 0.687987i | ||||
\(603\) | −9.94780 | − | 22.6426i | −0.405106 | − | 0.922080i | ||||
\(604\) | −17.2193 | + | 9.74949i | −0.700643 | + | 0.396701i | ||||
\(605\) | −1.35140 | + | 0.780233i | −0.0549424 | + | 0.0317210i | ||||
\(606\) | −19.9698 | + | 30.3066i | −0.811219 | + | 1.23112i | ||||
\(607\) | −0.432069 | − | 0.249455i | −0.0175371 | − | 0.0101251i | 0.491206 | − | 0.871044i | \(-0.336556\pi\) |
−0.508743 | + | 0.860918i | \(0.669890\pi\) | |||||||
\(608\) | −12.4889 | − | 13.0252i | −0.506493 | − | 0.528242i | ||||
\(609\) | −22.5320 | − | 16.0027i | −0.913044 | − | 0.648462i | ||||
\(610\) | 0.0851646 | − | 0.0844517i | 0.00344821 | − | 0.00341935i | ||||
\(611\) | −27.6504 | −1.11862 | ||||||||
\(612\) | 16.1744 | − | 21.6492i | 0.653811 | − | 0.875117i | ||||
\(613\) | 9.98361i | 0.403234i | 0.979464 | + | 0.201617i | \(0.0646197\pi\) | ||||
−0.979464 | + | 0.201617i | \(0.935380\pi\) | |||||||
\(614\) | −0.786324 | − | 0.792962i | −0.0317335 | − | 0.0320013i | ||||
\(615\) | −0.872814 | − | 4.15658i | −0.0351952 | − | 0.167609i | ||||
\(616\) | −6.83362 | − | 13.3912i | −0.275334 | − | 0.539548i | ||||
\(617\) | −36.2651 | − | 20.9377i | −1.45998 | − | 0.842919i | −0.460969 | − | 0.887416i | \(-0.652498\pi\) |
−0.999010 | + | 0.0444967i | \(0.985832\pi\) | |||||||
\(618\) | −3.83133 | − | 0.226412i | −0.154119 | − | 0.00910761i | ||||
\(619\) | −12.8209 | − | 22.2065i | −0.515317 | − | 0.892555i | −0.999842 | − | 0.0177777i | \(-0.994341\pi\) |
0.484525 | − | 0.874777i | \(-0.338992\pi\) | |||||||
\(620\) | −4.15072 | + | 2.35012i | −0.166697 | + | 0.0943830i | ||||
\(621\) | −29.6283 | + | 2.89289i | −1.18894 | + | 0.116088i | ||||
\(622\) | 36.0784 | − | 9.50484i | 1.44661 | − | 0.381109i | ||||
\(623\) | −6.92028 | − | 7.48422i | −0.277255 | − | 0.299849i | ||||
\(624\) | 16.8912 | + | 19.5027i | 0.676188 | + | 0.780735i | ||||
\(625\) | −12.1247 | + | 21.0005i | −0.484987 | + | 0.840022i | ||||
\(626\) | −36.1933 | − | 9.86119i | −1.44657 | − | 0.394132i | ||||
\(627\) | 10.8633 | − | 2.28111i | 0.433837 | − | 0.0910986i | ||||
\(628\) | 11.2207 | + | 6.60466i | 0.447755 | + | 0.263555i | ||||
\(629\) | − | 34.1998i | − | 1.36364i | ||||||
\(630\) | −2.34451 | + | 0.911022i | −0.0934077 | + | 0.0362960i | ||||
\(631\) | −17.5094 | −0.697039 | −0.348519 | − | 0.937302i | \(-0.613315\pi\) | ||||
−0.348519 | + | 0.937302i | \(0.613315\pi\) | |||||||
\(632\) | −19.2916 | − | 5.43080i | −0.767379 | − | 0.216026i | ||||
\(633\) | 17.0488 | − | 15.2749i | 0.677629 | − | 0.607125i | ||||
\(634\) | 10.7151 | − | 39.3272i | 0.425550 | − | 1.56188i | ||||
\(635\) | −1.18704 | − | 0.685339i | −0.0471063 | − | 0.0271968i | ||||
\(636\) | −10.5671 | − | 3.56089i | −0.419012 | − | 0.141199i | ||||
\(637\) | −21.4874 | − | 14.7590i | −0.851361 | − | 0.584775i | ||||
\(638\) | −16.5692 | + | 4.36513i | −0.655979 | + | 0.172817i | ||||
\(639\) | 6.40883 | − | 8.73024i | 0.253529 | − | 0.345363i | ||||
\(640\) | 2.46704 | − | 0.583829i | 0.0975183 | − | 0.0230779i | ||||
\(641\) | −23.7236 | + | 13.6968i | −0.937025 | + | 0.540991i | −0.889026 | − | 0.457856i | \(-0.848618\pi\) |
−0.0479982 | + | 0.998847i | \(0.515284\pi\) | |||||||
\(642\) | −8.51019 | + | 4.26494i | −0.335870 | + | 0.168324i | ||||
\(643\) | 16.7696 | − | 29.0458i | 0.661329 | − | 1.14546i | −0.318937 | − | 0.947776i | \(-0.603326\pi\) |
0.980267 | − | 0.197680i | \(-0.0633407\pi\) | |||||||
\(644\) | −29.6223 | + | 6.44588i | −1.16728 | + | 0.254003i | ||||
\(645\) | −0.614722 | + | 1.87618i | −0.0242046 | + | 0.0738746i | ||||
\(646\) | 14.3071 | + | 14.4279i | 0.562906 | + | 0.567658i | ||||
\(647\) | −2.78223 | −0.109381 | −0.0546904 | − | 0.998503i | \(-0.517417\pi\) | ||||
−0.0546904 | + | 0.998503i | \(0.517417\pi\) | |||||||
\(648\) | 22.4160 | + | 12.0632i | 0.880585 | + | 0.473888i | ||||
\(649\) | − | 20.2981i | − | 0.796771i | ||||||
\(650\) | −18.3553 | − | 18.5103i | −0.719955 | − | 0.726033i | ||||
\(651\) | −48.5580 | − | 4.57566i | −1.90314 | − | 0.179334i | ||||
\(652\) | −24.7885 | − | 0.208389i | −0.970794 | − | 0.00816115i | ||||
\(653\) | 14.3839 | − | 24.9137i | 0.562886 | − | 0.974948i | −0.434357 | − | 0.900741i | \(-0.643024\pi\) |
0.997243 | − | 0.0742068i | \(-0.0236425\pi\) | |||||||
\(654\) | −1.08617 | − | 2.16733i | −0.0424728 | − | 0.0847494i | ||||
\(655\) | 0.443475 | + | 0.768122i | 0.0173280 | + | 0.0300130i | ||||
\(656\) | −22.5205 | + | 37.5348i | −0.879277 | + | 1.46549i | ||||
\(657\) | 12.9192 | − | 17.5988i | 0.504027 | − | 0.686595i | ||||
\(658\) | −24.6387 | + | 12.8355i | −0.960518 | + | 0.500380i | ||||
\(659\) | 7.04796 | + | 12.2074i | 0.274549 | + | 0.475533i | 0.970021 | − | 0.243020i | \(-0.0781380\pi\) |
−0.695472 | + | 0.718553i | \(0.744805\pi\) | |||||||
\(660\) | −0.497994 | + | 1.47782i | −0.0193844 | + | 0.0575240i | ||||
\(661\) | 18.6479 | − | 32.2991i | 0.725319 | − | 1.25629i | −0.233523 | − | 0.972351i | \(-0.575025\pi\) |
0.958842 | − | 0.283939i | \(-0.0916412\pi\) | |||||||
\(662\) | −20.0405 | − | 5.46022i | −0.778896 | − | 0.212218i | ||||
\(663\) | −19.3860 | − | 21.6373i | −0.752889 | − | 0.840321i | ||||
\(664\) | −7.09836 | + | 25.2152i | −0.275470 | + | 0.978540i | ||||
\(665\) | −0.417642 | − | 1.84452i | −0.0161955 | − | 0.0715273i | ||||
\(666\) | 31.8633 | − | 4.74889i | 1.23468 | − | 0.184016i | ||||
\(667\) | 34.5509i | 1.33782i | ||||||||
\(668\) | −11.9510 | − | 7.03451i | −0.462397 | − | 0.272173i | ||||
\(669\) | 3.36556 | + | 16.0277i | 0.130120 | + | 0.619667i | ||||
\(670\) | −0.686753 | + | 2.52057i | −0.0265316 | + | 0.0973781i | ||||
\(671\) | 0.380181 | − | 0.658492i | 0.0146767 | − | 0.0254208i | ||||
\(672\) | 24.1047 | + | 9.53752i | 0.929858 | + | 0.367918i | ||||
\(673\) | −5.31532 | − | 9.20641i | −0.204891 | − | 0.354881i | 0.745207 | − | 0.666833i | \(-0.232351\pi\) |
−0.950098 | + | 0.311952i | \(0.899017\pi\) | |||||||
\(674\) | 22.6530 | − | 5.96791i | 0.872560 | − | 0.229875i | ||||
\(675\) | −23.4183 | − | 10.6345i | −0.901372 | − | 0.409323i | ||||
\(676\) | 1.51083 | − | 0.855426i | 0.0581089 | − | 0.0329010i | ||||
\(677\) | −10.6587 | + | 6.15378i | −0.409646 | + | 0.236509i | −0.690638 | − | 0.723201i | \(-0.742670\pi\) |
0.280992 | + | 0.959710i | \(0.409337\pi\) | |||||||
\(678\) | 7.19191 | + | 0.425003i | 0.276203 | + | 0.0163222i | ||||
\(679\) | 45.3104 | + | 14.0623i | 1.73885 | + | 0.539663i | ||||
\(680\) | −2.76644 | + | 0.704002i | −0.106088 | + | 0.0269972i | ||||
\(681\) | −3.69122 | − | 17.5786i | −0.141448 | − | 0.673614i | ||||
\(682\) | −21.4719 | + | 21.2922i | −0.822203 | + | 0.815320i | ||||
\(683\) | 30.6662 | 1.17341 | 0.586706 | − | 0.809800i | \(-0.300425\pi\) | ||||
0.586706 | + | 0.809800i | \(0.300425\pi\) | |||||||
\(684\) | −11.4555 | + | 15.3331i | −0.438014 | + | 0.586275i | ||||
\(685\) | −1.20660 | −0.0461017 | ||||||||
\(686\) | −25.9982 | − | 3.17693i | −0.992616 | − | 0.121296i | ||||
\(687\) | −29.3742 | − | 32.7853i | −1.12069 | − | 1.25084i | ||||
\(688\) | 17.7901 | − | 9.87611i | 0.678241 | − | 0.376523i | ||||
\(689\) | −5.99375 | + | 10.3815i | −0.228344 | + | 0.395503i | ||||
\(690\) | 2.62580 | + | 1.73021i | 0.0999626 | + | 0.0658680i | ||||
\(691\) | −10.8266 | − | 18.7523i | −0.411864 | − | 0.713369i | 0.583230 | − | 0.812307i | \(-0.301789\pi\) |
−0.995094 | + | 0.0989380i | \(0.968455\pi\) | |||||||
\(692\) | 11.9329 | + | 21.0756i | 0.453622 | + | 0.801175i | ||||
\(693\) | −12.8223 | + | 9.47964i | −0.487080 | + | 0.360102i | ||||
\(694\) | −38.6139 | + | 10.1728i | −1.46576 | + | 0.386154i | ||||
\(695\) | 3.04150 | − | 1.75601i | 0.115371 | − | 0.0666094i | ||||
\(696\) | 16.4628 | − | 24.5329i | 0.624022 | − | 0.929919i | ||||
\(697\) | 24.6439 | − | 42.6846i | 0.933456 | − | 1.61679i | ||||
\(698\) | 0.360723 | − | 1.32395i | 0.0136536 | − | 0.0501124i | ||||
\(699\) | 4.35332 | + | 1.42634i | 0.164658 | + | 0.0539492i | ||||
\(700\) | −24.9486 | − | 7.97349i | −0.942970 | − | 0.301369i | ||||
\(701\) | −21.5501 | −0.813936 | −0.406968 | − | 0.913442i | \(-0.633414\pi\) | ||||
−0.406968 | + | 0.913442i | \(0.633414\pi\) | |||||||
\(702\) | 17.4671 | − | 21.0660i | 0.659254 | − | 0.795086i | ||||
\(703\) | 24.2221i | 0.913554i | ||||||||
\(704\) | 14.1171 | − | 7.68250i | 0.532057 | − | 0.289545i | ||||
\(705\) | 2.73851 | + | 0.897260i | 0.103138 | + | 0.0337928i | ||||
\(706\) | 5.46082 | − | 20.0427i | 0.205521 | − | 0.754316i | ||||
\(707\) | 37.4408 | + | 11.6199i | 1.40810 | + | 0.437013i | ||||
\(708\) | 23.1353 | + | 26.2629i | 0.869477 | + | 0.987019i | ||||
\(709\) | 31.7385 | − | 18.3242i | 1.19197 | − | 0.688182i | 0.233213 | − | 0.972426i | \(-0.425076\pi\) |
0.958752 | + | 0.284244i | \(0.0917426\pi\) | |||||||
\(710\) | −1.10626 | + | 0.291443i | −0.0415172 | + | 0.0109377i | ||||
\(711\) | −2.32609 | + | 21.1295i | −0.0872351 | + | 0.792419i | ||||
\(712\) | 7.80198 | − | 7.60766i | 0.292391 | − | 0.285109i | ||||
\(713\) | 30.4878 | + | 52.8065i | 1.14178 | + | 1.97762i | ||||
\(714\) | −27.3186 | − | 10.2814i | −1.02237 | − | 0.384773i | ||||
\(715\) | 1.45186 | + | 0.838233i | 0.0542965 | + | 0.0313481i | ||||
\(716\) | −0.156143 | + | 18.5737i | −0.00583534 | + | 0.694133i | ||||
\(717\) | 8.90154 | − | 7.97537i | 0.332434 | − | 0.297846i | ||||
\(718\) | 0.548262 | − | 0.543672i | 0.0204609 | − | 0.0202897i | ||||
\(719\) | 31.3857 | 1.17049 | 0.585244 | − | 0.810857i | \(-0.300999\pi\) | ||||
0.585244 | + | 0.810857i | \(0.300999\pi\) | |||||||
\(720\) | −1.04004 | − | 2.47968i | −0.0387602 | − | 0.0924124i | ||||
\(721\) | 0.915472 | + | 4.04319i | 0.0340940 | + | 0.150576i | ||||
\(722\) | 8.78692 | + | 8.86110i | 0.327015 | + | 0.329776i | ||||
\(723\) | −0.215972 | − | 1.02852i | −0.00803207 | − | 0.0382509i | ||||
\(724\) | 0.103167 | − | 12.2720i | 0.00383417 | − | 0.456087i | ||||
\(725\) | −14.9256 | + | 25.8518i | −0.554322 | + | 0.960113i | ||||
\(726\) | 1.00628 | − | 17.0282i | 0.0373465 | − | 0.631977i | ||||
\(727\) | 33.8765 | − | 19.5586i | 1.25641 | − | 0.725389i | 0.284035 | − | 0.958814i | \(-0.408327\pi\) |
0.972375 | + | 0.233425i | \(0.0749934\pi\) | |||||||
\(728\) | 15.1634 | − | 23.3813i | 0.561993 | − | 0.866568i | ||||
\(729\) | 8.72200 | − | 25.5524i | 0.323037 | − | 0.946386i | ||||
\(730\) | −2.23005 | + | 0.587505i | −0.0825378 | + | 0.0217445i | ||||
\(731\) | −19.8419 | + | 11.4557i | −0.733879 | + | 0.423705i | ||||
\(732\) | 0.258633 | + | 1.28531i | 0.00955936 | + | 0.0475066i | ||||
\(733\) | 8.55944 | − | 14.8254i | 0.316150 | − | 0.547588i | −0.663531 | − | 0.748149i | \(-0.730943\pi\) |
0.979681 | + | 0.200560i | \(0.0642763\pi\) | |||||||
\(734\) | 9.31630 | + | 2.53831i | 0.343871 | + | 0.0936909i | ||||
\(735\) | 1.64919 | + | 2.15901i | 0.0608313 | + | 0.0796364i | ||||
\(736\) | −7.72826 | − | 31.4737i | −0.284867 | − | 1.16013i | ||||
\(737\) | 16.5620i | 0.610068i | ||||||||
\(738\) | 43.1903 | + | 17.0332i | 1.58986 | + | 0.627001i | ||||
\(739\) | 6.88141i | 0.253137i | 0.991958 | + | 0.126568i | \(0.0403963\pi\) | ||||
−0.991958 | + | 0.126568i | \(0.959604\pi\) | |||||||
\(740\) | −2.93266 | − | 1.72620i | −0.107807 | − | 0.0634564i | ||||
\(741\) | 13.7302 | + | 15.3246i | 0.504390 | + | 0.562964i | ||||
\(742\) | −0.521766 | + | 12.0331i | −0.0191546 | + | 0.441748i | ||||
\(743\) | −0.551758 | − | 0.318558i | −0.0202420 | − | 0.0116868i | 0.489845 | − | 0.871810i | \(-0.337053\pi\) |
−0.510087 | + | 0.860123i | \(0.670387\pi\) | |||||||
\(744\) | 3.51331 | − | 52.0222i | 0.128804 | − | 1.90723i | ||||
\(745\) | −2.37168 | + | 1.36929i | −0.0868916 | + | 0.0501669i | ||||
\(746\) | −11.8658 | − | 45.0402i | −0.434438 | − | 1.64904i | ||||
\(747\) | 27.6175 | + | 3.04033i | 1.01047 | + | 0.111240i | ||||
\(748\) | −15.7481 | + | 8.91653i | −0.575809 | + | 0.326021i | ||||
\(749\) | 6.98034 | + | 7.54918i | 0.255056 | + | 0.275841i | ||||
\(750\) | 2.44687 | + | 4.88244i | 0.0893470 | + | 0.178282i | ||||
\(751\) | 12.9137 | − | 22.3673i | 0.471229 | − | 0.816193i | −0.528229 | − | 0.849102i | \(-0.677144\pi\) |
0.999458 | + | 0.0329091i | \(0.0104772\pi\) | |||||||
\(752\) | −14.4154 | − | 25.9668i | −0.525675 | − | 0.946912i | ||||
\(753\) | 41.5111 | + | 13.6009i | 1.51275 | + | 0.495645i | ||||
\(754\) | −22.3640 | − | 22.5528i | −0.814449 | − | 0.821325i | ||||
\(755\) | − | 2.21703i | − | 0.0806859i | ||||||
\(756\) | 5.78562 | − | 26.8799i | 0.210421 | − | 0.977611i | ||||
\(757\) | − | 25.3146i | − | 0.920076i | −0.887899 | − | 0.460038i | \(-0.847836\pi\) | ||
0.887899 | − | 0.460038i | \(-0.152164\pi\) | |||||||
\(758\) | 1.43872 | − | 1.42667i | 0.0522566 | − | 0.0518192i | ||||
\(759\) | 18.9446 | + | 6.20710i | 0.687645 | + | 0.225303i | ||||
\(760\) | 1.95934 | − | 0.498611i | 0.0710727 | − | 0.0180865i | ||||
\(761\) | −17.2664 | + | 29.9062i | −0.625905 | + | 1.08410i | 0.362460 | + | 0.931999i | \(0.381937\pi\) |
−0.988365 | + | 0.152100i | \(0.951397\pi\) | |||||||
\(762\) | 13.3953 | − | 6.71313i | 0.485259 | − | 0.243191i | ||||
\(763\) | −1.92259 | + | 1.77772i | −0.0696023 | + | 0.0643577i | ||||
\(764\) | 21.3289 | + | 37.6705i | 0.771651 | + | 1.36287i | ||||
\(765\) | 1.21787 | + | 2.77204i | 0.0440321 | + | 0.100223i | ||||
\(766\) | 0.0648403 | − | 0.0170821i | 0.00234277 | − | 0.000617202i | ||||
\(767\) | 32.5846 | − | 18.8127i | 1.17656 | − | 0.679289i | ||||
\(768\) | −9.50912 | + | 26.0303i | −0.343131 | + | 0.939288i | ||||
\(769\) | −23.0382 | − | 13.3011i | −0.830780 | − | 0.479651i | 0.0233399 | − | 0.999728i | \(-0.492570\pi\) |
−0.854120 | + | 0.520077i | \(0.825903\pi\) | |||||||
\(770\) | 1.68284 | + | 0.0729695i | 0.0606453 | + | 0.00262964i | ||||
\(771\) | 24.6723 | + | 27.5374i | 0.888551 | + | 0.991737i | ||||
\(772\) | −7.93445 | − | 4.67033i | −0.285567 | − | 0.168089i | ||||
\(773\) | 50.4085i | 1.81307i | 0.422132 | + | 0.906534i | \(0.361282\pi\) | ||||
−0.422132 | + | 0.906534i | \(0.638718\pi\) | |||||||
\(774\) | −13.4283 | − | 16.8956i | −0.482669 | − | 0.607299i | ||||
\(775\) | 52.6815i | 1.89237i | ||||||||
\(776\) | −13.7435 | + | 48.8204i | −0.493362 | + | 1.75255i | ||||
\(777\) | −14.4944 | − | 31.6339i | −0.519984 | − | 1.13486i | ||||
\(778\) | −3.97797 | + | 14.6002i | −0.142617 | + | 0.523444i | ||||
\(779\) | −17.4541 | + | 30.2314i | −0.625359 | + | 1.08315i | ||||
\(780\) | −2.83389 | + | 0.570242i | −0.101470 | + | 0.0204179i | ||||
\(781\) | −6.28091 | + | 3.62629i | −0.224749 | + | 0.129759i | ||||
\(782\) | 9.29661 | + | 35.2881i | 0.332446 | + | 1.26190i | ||||
\(783\) | −28.5327 | − | 12.9570i | −1.01968 | − | 0.463047i | ||||
\(784\) | 2.65807 | − | 27.8735i | 0.0949310 | − | 0.995484i | ||||
\(785\) | −1.26335 | + | 0.729393i | −0.0450908 | + | 0.0260332i | ||||
\(786\) | −9.67864 | − | 0.571956i | −0.345226 | − | 0.0204010i | ||||
\(787\) | 25.1352 | − | 43.5355i | 0.895973 | − | 1.55187i | 0.0633782 | − | 0.997990i | \(-0.479813\pi\) |
0.832595 | − | 0.553882i | \(-0.186854\pi\) | |||||||
\(788\) | 0.212800 | − | 25.3132i | 0.00758068 | − | 0.901745i | ||||
\(789\) | −3.65390 | − | 17.4009i | −0.130082 | − | 0.619487i | ||||
\(790\) | 1.59443 | − | 1.58108i | 0.0567273 | − | 0.0562524i | ||||
\(791\) | −1.71846 | − | 7.58958i | −0.0611013 | − | 0.269854i | ||||
\(792\) | −10.4941 | − | 13.4341i | −0.372891 | − | 0.477360i | ||||
\(793\) | 1.40944 | 0.0500506 | ||||||||
\(794\) | 10.0020 | + | 10.0864i | 0.354957 | + | 0.357953i | ||||
\(795\) | 0.930506 | − | 0.833690i | 0.0330016 | − | 0.0295680i | ||||
\(796\) | 30.9262 | + | 0.259986i | 1.09615 | + | 0.00921497i | ||||
\(797\) | −0.211749 | − | 0.122253i | −0.00750053 | − | 0.00433043i | 0.496245 | − | 0.868182i | \(-0.334712\pi\) |
−0.503746 | + | 0.863852i | \(0.668045\pi\) | |||||||
\(798\) | 19.3485 | + | 7.28185i | 0.684928 | + | 0.257775i | ||||
\(799\) | 16.7210 | + | 28.9616i | 0.591547 | + | 1.02459i | ||||
\(800\) | 7.81376 | − | 26.8879i | 0.276258 | − | 0.950630i | ||||
\(801\) | −9.31716 | − | 6.83968i | −0.329206 | − | 0.241668i | ||||
\(802\) | 3.84759 | + | 14.6047i | 0.135863 | + | 0.515708i | ||||
\(803\) | −12.6614 | + | 7.31003i | −0.446809 | + | 0.257966i | ||||
\(804\) | −18.8769 | − | 21.4288i | −0.665737 | − | 0.755736i | ||||
\(805\) | 1.00677 | − | 3.24391i | 0.0354838 | − | 0.114333i | ||||
\(806\) | −54.0811 | − | 14.7349i | −1.90492 | − | 0.519014i | ||||
\(807\) | −2.25850 | − | 0.739986i | −0.0795029 | − | 0.0260487i | ||||
\(808\) | −11.3565 | + | 40.3412i | −0.399520 | + | 1.41920i | ||||
\(809\) | − | 35.7733i | − | 1.25772i | −0.777518 | − | 0.628861i | \(-0.783522\pi\) | ||
0.777518 | − | 0.628861i | \(-0.216478\pi\) | |||||||
\(810\) | −2.41355 | + | 1.51958i | −0.0848034 | + | 0.0533926i | ||||
\(811\) | −54.5728 | −1.91631 | −0.958156 | − | 0.286248i | \(-0.907592\pi\) | ||||
−0.958156 | + | 0.286248i | \(0.907592\pi\) | |||||||
\(812\) | −30.3973 | − | 9.71485i | −1.06674 | − | 0.340924i | ||||
\(813\) | 26.1428 | + | 8.56556i | 0.916869 | + | 0.300407i | ||||
\(814\) | −20.8148 | − | 5.67120i | −0.729560 | − | 0.198775i | ||||
\(815\) | 1.38871 | − | 2.40531i | 0.0486442 | − | 0.0842543i | ||||
\(816\) | 10.2130 | − | 29.4860i | 0.357527 | − | 1.03222i | ||||
\(817\) | 14.0531 | − | 8.11354i | 0.491654 | − | 0.283857i | ||||
\(818\) | −2.12201 | − | 8.05474i | −0.0741945 | − | 0.281627i | ||||
\(819\) | −27.1017 | − | 11.7978i | −0.947010 | − | 0.412248i | ||||
\(820\) | −2.41635 | − | 4.26769i | −0.0843825 | − | 0.149034i | ||||
\(821\) | −18.6433 | − | 32.2911i | −0.650654 | − | 1.12697i | −0.982964 | − | 0.183796i | \(-0.941161\pi\) |
0.332310 | − | 0.943170i | \(-0.392172\pi\) | |||||||
\(822\) | 7.25720 | − | 11.0137i | 0.253124 | − | 0.384146i | ||||
\(823\) | −6.44747 | + | 11.1673i | −0.224745 | + | 0.389269i | −0.956243 | − | 0.292574i | \(-0.905488\pi\) |
0.731498 | + | 0.681843i | \(0.238821\pi\) | |||||||
\(824\) | −4.29488 | + | 1.09296i | −0.149619 | + | 0.0380749i | ||||
\(825\) | 11.4934 | + | 12.8281i | 0.400150 | + | 0.446619i | ||||
\(826\) | 20.3025 | − | 31.8896i | 0.706415 | − | 1.10958i | ||||
\(827\) | −0.191099 | −0.00664518 | −0.00332259 | − | 0.999994i | \(-0.501058\pi\) | ||||
−0.00332259 | + | 0.999994i | \(0.501058\pi\) | |||||||
\(828\) | −31.5863 | + | 13.5615i | −1.09770 | + | 0.471294i | ||||
\(829\) | −4.56157 | −0.158430 | −0.0792149 | − | 0.996858i | \(-0.525241\pi\) | ||||
−0.0792149 | + | 0.996858i | \(0.525241\pi\) | |||||||
\(830\) | −2.06656 | − | 2.08401i | −0.0717315 | − | 0.0723371i | ||||
\(831\) | −9.02777 | − | 42.9927i | −0.313170 | − | 1.49140i | ||||
\(832\) | 25.4167 | + | 15.5418i | 0.881166 | + | 0.538816i | ||||
\(833\) | −2.46490 | + | 31.4315i | −0.0854038 | + | 1.08904i | ||||
\(834\) | −2.26475 | + | 38.3242i | −0.0784220 | + | 1.32706i | ||||
\(835\) | 1.34557 | − | 0.776864i | 0.0465653 | − | 0.0268845i | ||||
\(836\) | 11.1537 | − | 6.31515i | 0.385757 | − | 0.218414i | ||||
\(837\) | −55.0418 | + | 5.37426i | −1.90252 | + | 0.185761i | ||||
\(838\) | 5.96788 | + | 22.6529i | 0.206157 | + | 0.782531i | ||||
\(839\) | −2.15948 | − | 3.74033i | −0.0745535 | − | 0.129130i | 0.826339 | − | 0.563174i | \(-0.190420\pi\) |
−0.900892 | + | 0.434043i | \(0.857086\pi\) | |||||||
\(840\) | −2.26052 | + | 1.82364i | −0.0779953 | + | 0.0629216i | ||||
\(841\) | −3.68522 | + | 6.38299i | −0.127077 | + | 0.220103i | ||||
\(842\) | 48.9586 | + | 13.3392i | 1.68722 | + | 0.459700i | ||||
\(843\) | 3.77824 | + | 17.9930i | 0.130129 | + | 0.619712i | ||||
\(844\) | 13.4079 | − | 22.7788i | 0.461520 | − | 0.784080i | ||||
\(845\) | 0.194523i | 0.00669180i | ||||||||
\(846\) | −24.6611 | + | 19.6002i | −0.847867 | + | 0.673867i | ||||
\(847\) | −17.9698 | + | 4.06878i | −0.617450 | + | 0.139805i | ||||
\(848\) | −12.8742 | − | 0.216473i | −0.442101 | − | 0.00743371i | ||||
\(849\) | 24.0534 | + | 26.8467i | 0.825510 | + | 0.921375i | ||||
\(850\) | −8.28806 | + | 30.4194i | −0.284278 | + | 1.04338i | ||||
\(851\) | −21.7511 | + | 37.6739i | −0.745616 | + | 1.29145i | ||||
\(852\) | 3.99345 | − | 11.8507i | 0.136813 | − | 0.405999i | ||||
\(853\) | −24.7758 | − | 42.9129i | −0.848307 | − | 1.46931i | −0.882718 | − | 0.469903i | \(-0.844289\pi\) |
0.0344110 | − | 0.999408i | \(-0.489044\pi\) | |||||||
\(854\) | 1.25592 | − | 0.654270i | 0.0429768 | − | 0.0223887i | ||||
\(855\) | −0.862557 | − | 1.96331i | −0.0294988 | − | 0.0671436i | ||||
\(856\) | −7.86969 | + | 7.67368i | −0.268980 | + | 0.262281i | ||||
\(857\) | −3.31377 | − | 5.73962i | −0.113196 | − | 0.196062i | 0.803861 | − | 0.594817i | \(-0.202776\pi\) |
−0.917057 | + | 0.398756i | \(0.869442\pi\) | |||||||
\(858\) | −16.3836 | + | 8.21077i | −0.559328 | + | 0.280311i | ||||
\(859\) | −17.2058 | + | 29.8012i | −0.587053 | + | 1.01681i | 0.407563 | + | 0.913177i | \(0.366379\pi\) |
−0.994616 | + | 0.103628i | \(0.966955\pi\) | |||||||
\(860\) | −0.0191644 | + | 2.27967i | −0.000653502 | + | 0.0777361i | ||||
\(861\) | 4.70462 | − | 49.9265i | 0.160333 | − | 1.70149i | ||||
\(862\) | −7.57585 | + | 7.51243i | −0.258034 | + | 0.255874i | ||||
\(863\) | 38.3595i | 1.30577i | 0.757457 | + | 0.652886i | \(0.226442\pi\) | ||||
−0.757457 | + | 0.652886i | \(0.773558\pi\) | |||||||
\(864\) | 28.8897 | + | 5.42090i | 0.982847 | + | 0.184423i | ||||
\(865\) | −2.71354 | −0.0922631 | ||||||||
\(866\) | −1.44071 | + | 1.42865i | −0.0489575 | + | 0.0485476i | ||||
\(867\) | −1.77214 | + | 5.40871i | −0.0601849 | + | 0.183689i | ||||
\(868\) | −55.0306 | + | 11.9748i | −1.86786 | + | 0.406451i | ||||
\(869\) | 7.11765 | − | 12.3281i | 0.241450 | − | 0.418203i | ||||
\(870\) | 1.48310 | + | 2.95936i | 0.0502819 | + | 0.100332i | ||||
\(871\) | −26.5870 | + | 15.3500i | −0.900865 | + | 0.520115i | ||||
\(872\) | −1.95430 | − | 2.00421i | −0.0661808 | − | 0.0678712i | ||||
\(873\) | 53.4716 | + | 5.88653i | 1.80974 | + | 0.199229i | ||||
\(874\) | −6.58434 | − | 24.9928i | −0.222719 | − | 0.845395i | ||||
\(875\) | 4.33109 | − | 4.00474i | 0.146418 | − | 0.135385i | ||||
\(876\) | 8.05018 | − | 23.8892i | 0.271990 | − | 0.807142i | ||||
\(877\) | −4.67213 | − | 2.69746i | −0.157767 | − | 0.0910866i | 0.419038 | − | 0.907969i | \(-0.362367\pi\) |
−0.576805 | + | 0.816882i | \(0.695701\pi\) | |||||||
\(878\) | 2.08316 | + | 0.567576i | 0.0703031 | + | 0.0191547i | ||||
\(879\) | 21.6296 | − | 19.3792i | 0.729550 | − | 0.653643i | ||||
\(880\) | −0.0302740 | + | 1.80047i | −0.00102054 | + | 0.0606937i | ||||
\(881\) | 45.7067 | 1.53990 | 0.769949 | − | 0.638106i | \(-0.220282\pi\) | ||||
0.769949 | + | 0.638106i | \(0.220282\pi\) | |||||||
\(882\) | −29.6264 | + | 2.06799i | −0.997573 | + | 0.0696330i | ||||
\(883\) | 57.2657i | 1.92714i | 0.267449 | + | 0.963572i | \(0.413819\pi\) | ||||
−0.267449 | + | 0.963572i | \(0.586181\pi\) | |||||||
\(884\) | −28.9094 | − | 17.0165i | −0.972329 | − | 0.572327i | ||||
\(885\) | −3.83768 | + | 0.805850i | −0.129002 | + | 0.0270883i | ||||
\(886\) | 5.22332 | − | 19.1710i | 0.175481 | − | 0.644062i | ||||
\(887\) | 17.4323 | − | 30.1937i | 0.585320 | − | 1.01380i | −0.409515 | − | 0.912303i | \(-0.634302\pi\) |
0.994835 | − | 0.101501i | \(-0.0323646\pi\) | |||||||
\(888\) | 33.3953 | − | 16.3865i | 1.12067 | − | 0.549895i | ||||
\(889\) | −10.9872 | − | 11.8826i | −0.368500 | − | 0.398530i | ||||
\(890\) | 0.311036 | + | 1.18063i | 0.0104260 | + | 0.0395749i | ||||
\(891\) | −12.2304 | + | 13.3170i | −0.409734 | + | 0.446137i | ||||
\(892\) | 9.31740 | + | 16.4562i | 0.311970 | + | 0.550993i | ||||
\(893\) | −11.8427 | − | 20.5121i | −0.396300 | − | 0.686412i | ||||
\(894\) | 1.76599 | − | 29.8841i | 0.0590636 | − | 0.999474i | ||||
\(895\) | −1.80226 | − | 1.04054i | −0.0602431 | − | 0.0347814i | ||||
\(896\) | 29.8630 | + | 2.05042i | 0.997651 | + | 0.0684996i | ||||
\(897\) | 7.59399 | + | 36.1647i | 0.253556 | + | 1.20750i | ||||
\(898\) | 33.8034 | − | 33.5204i | 1.12803 | − | 1.11859i | ||||
\(899\) | 64.1868i | 2.14075i | ||||||||
\(900\) | −29.4920 | − | 3.49786i | −0.983067 | − | 0.116595i | ||||
\(901\) | 14.4984 | 0.483011 | ||||||||
\(902\) | −21.8923 | − | 22.0771i | −0.728932 | − | 0.735086i | ||||
\(903\) | −13.4981 | + | 19.0055i | −0.449189 | + | 0.632464i | ||||
\(904\) | 8.06203 | − | 2.05162i | 0.268139 | − | 0.0682358i | ||||
\(905\) | 1.19079 | + | 0.687505i | 0.0395833 | + | 0.0228535i | ||||
\(906\) | 20.2367 | + | 13.3345i | 0.672320 | + | 0.443010i | ||||
\(907\) | 22.2277 | − | 12.8332i | 0.738058 | − | 0.426118i | −0.0833048 | − | 0.996524i | \(-0.526548\pi\) |
0.821363 | + | 0.570406i | \(0.193214\pi\) | |||||||
\(908\) | −10.2190 | − | 18.0485i | −0.339129 | − | 0.598961i | ||||
\(909\) | 44.1845 | + | 4.86414i | 1.46551 | + | 0.161333i | ||||
\(910\) | 1.44255 | + | 2.76909i | 0.0478201 | + | 0.0917945i | ||||
\(911\) | −26.8104 | + | 15.4790i | −0.888269 | + | 0.512842i | −0.873376 | − | 0.487047i | \(-0.838074\pi\) |
−0.0148929 | + | 0.999889i | \(0.504741\pi\) | |||||||
\(912\) | −7.23338 | + | 20.8835i | −0.239521 | + | 0.691523i | ||||
\(913\) | −16.1136 | − | 9.30317i | −0.533281 | − | 0.307890i | ||||
\(914\) | −11.0815 | + | 40.6720i | −0.366542 | + | 1.34531i | ||||
\(915\) | −0.139592 | − | 0.0457365i | −0.00461476 | − | 0.00151200i | ||||
\(916\) | −43.8043 | − | 25.7838i | −1.44734 | − | 0.851922i | ||||
\(917\) | 2.31265 | + | 10.2138i | 0.0763703 | + | 0.337290i | ||||
\(918\) | −32.6278 | − | 5.55618i | −1.07688 | − | 0.183381i | ||||
\(919\) | −35.2687 | −1.16341 | −0.581703 | − | 0.813401i | \(-0.697613\pi\) | ||||
−0.581703 | + | 0.813401i | \(0.697613\pi\) | |||||||
\(920\) | 3.49521 | + | 0.983939i | 0.115234 | + | 0.0324395i | ||||
\(921\) | −0.425849 | + | 1.29973i | −0.0140322 | + | 0.0428275i | ||||
\(922\) | −9.18958 | − | 2.50379i | −0.302643 | − | 0.0824578i | ||||
\(923\) | −11.6426 | − | 6.72184i | −0.383220 | − | 0.221252i | ||||
\(924\) | −10.7876 | + | 14.9218i | −0.354887 | + | 0.490893i | ||||
\(925\) | −32.5494 | + | 18.7924i | −1.07022 | + | 0.617890i | ||||
\(926\) | 11.8767 | − | 3.12892i | 0.390294 | − | 0.102823i | ||||
\(927\) | 1.89073 | + | 4.30357i | 0.0620997 | + | 0.141348i | ||||
\(928\) | 9.52023 | − | 32.7600i | 0.312517 | − | 1.07540i | ||||
\(929\) | −16.7827 | − | 29.0685i | −0.550622 | − | 0.953705i | −0.998230 | − | 0.0594752i | \(-0.981057\pi\) |
0.447608 | − | 0.894230i | \(-0.352276\pi\) | |||||||
\(930\) | 4.87807 | + | 3.21429i | 0.159958 | + | 0.105401i | ||||
\(931\) | 1.74577 | − | 22.2614i | 0.0572154 | − | 0.729589i | ||||
\(932\) | 5.28953 | + | 0.0444673i | 0.173264 | + | 0.00145658i | ||||
\(933\) | −30.4919 | − | 34.0329i | −0.998260 | − | 1.11419i | ||||
\(934\) | 11.8617 | − | 11.7624i | 0.388127 | − | 0.384878i | ||||
\(935\) | − | 2.02761i | − | 0.0663100i | ||||||
\(936\) | 11.8396 | − | 29.2972i | 0.386991 | − | 0.957609i | ||||
\(937\) | 1.39520i | 0.0455793i | 0.999740 | + | 0.0227896i | \(0.00725479\pi\) | ||||
−0.999740 | + | 0.0227896i | \(0.992745\pi\) | |||||||
\(938\) | −16.5656 | + | 26.0199i | −0.540885 | + | 0.849580i | ||||
\(939\) | 9.44145 | + | 44.9628i | 0.308110 | + | 1.46730i | ||||
\(940\) | 3.32745 | + | 0.0279728i | 0.108530 | + | 0.000912372i | ||||
\(941\) | −28.2201 | − | 16.2929i | −0.919950 | − | 0.531133i | −0.0363309 | − | 0.999340i | \(-0.511567\pi\) |
−0.883619 | + | 0.468206i | \(0.844900\pi\) | |||||||
\(942\) | 0.940708 | − | 15.9187i | 0.0306499 | − | 0.518658i | ||||
\(943\) | −54.2947 | + | 31.3470i | −1.76808 | + | 1.02080i | ||||
\(944\) | 34.6550 | + | 20.7927i | 1.12793 | + | 0.676743i | ||||
\(945\) | 2.30133 | + | 2.04791i | 0.0748622 | + | 0.0666187i | ||||
\(946\) | 3.68194 | + | 13.9759i | 0.119710 | + | 0.454396i | ||||
\(947\) | 8.73287 | + | 15.1258i | 0.283780 | + | 0.491521i | 0.972313 | − | 0.233684i | \(-0.0750781\pi\) |
−0.688533 | + | 0.725205i | \(0.741745\pi\) | |||||||
\(948\) | 4.84207 | + | 24.0633i | 0.157263 | + | 0.781541i | ||||
\(949\) | −23.4696 | − | 13.5502i | −0.761856 | − | 0.439858i | ||||
\(950\) | 5.87003 | − | 21.5446i | 0.190449 | − | 0.699000i | ||||
\(951\) | −48.8561 | + | 10.2590i | −1.58427 | + | 0.332670i | ||||
\(952\) | −33.6598 | − | 1.74312i | −1.09092 | − | 0.0564949i | ||||
\(953\) | 1.02607i | 0.0332376i | 0.999862 | + | 0.0166188i | \(0.00529016\pi\) | ||||
−0.999862 | + | 0.0166188i | \(0.994710\pi\) | |||||||
\(954\) | 2.01320 | + | 13.5078i | 0.0651799 | + | 0.437333i | ||||
\(955\) | −4.85017 | −0.156948 | ||||||||
\(956\) | 7.00056 | − | 11.8933i | 0.226414 | − | 0.384657i | ||||
\(957\) | 14.0035 | + | 15.6297i | 0.452670 | + | 0.505237i | ||||
\(958\) | 8.02441 | − | 29.4518i | 0.259257 | − | 0.951543i | ||||
\(959\) | −13.6063 | − | 4.22278i | −0.439369 | − | 0.136361i | ||||
\(960\) | −2.01295 | − | 2.36405i | −0.0649678 | − | 0.0762993i | ||||
\(961\) | 41.1386 | + | 71.2541i | 1.32705 | + | 2.29852i | ||||
\(962\) | −10.1877 | − | 38.6703i | −0.328463 | − | 1.24678i | ||||
\(963\) | 9.39802 | + | 6.89904i | 0.302847 | + | 0.222319i | ||||
\(964\) | −0.597908 | − | 1.05601i | −0.0192573 | − | 0.0340118i | ||||
\(965\) | 0.893344 | − | 0.515773i | 0.0287578 | − | 0.0166033i | ||||
\(966\) | 23.5547 | + | 28.7004i | 0.757861 | + | 0.923422i | ||||
\(967\) | 3.58747 | − | 6.21368i | 0.115365 | − | 0.199819i | −0.802560 | − | 0.596571i | \(-0.796529\pi\) |
0.917926 | + | 0.396752i | \(0.129863\pi\) | |||||||
\(968\) | −4.85760 | − | 19.0884i | −0.156129 | − | 0.613525i | ||||
\(969\) | 7.74831 | − | 23.6485i | 0.248911 | − | 0.759699i | ||||
\(970\) | −4.00118 | − | 4.03496i | −0.128470 | − | 0.129555i | ||||
\(971\) | − | 35.0730i | − | 1.12555i | −0.826611 | − | 0.562773i | \(-0.809734\pi\) | ||
0.826611 | − | 0.562773i | \(-0.190266\pi\) | |||||||
\(972\) | 0.645974 | − | 31.1702i | 0.0207196 | − | 0.999785i | ||||
\(973\) | 40.4433 | − | 9.15731i | 1.29655 | − | 0.293570i | ||||
\(974\) | 11.2984 | + | 11.3938i | 0.362025 | + | 0.365081i | ||||
\(975\) | −9.94068 | + | 30.3398i | −0.318357 | + | 0.971652i | ||||
\(976\) | 0.734802 | + | 1.32362i | 0.0235204 | + | 0.0423680i | ||||
\(977\) | 42.9788 | + | 24.8138i | 1.37501 | + | 0.793865i | 0.991554 | − | 0.129693i | \(-0.0413991\pi\) |
0.383460 | + | 0.923557i | \(0.374732\pi\) | |||||||
\(978\) | 13.6028 | + | 27.1429i | 0.434971 | + | 0.867933i | ||||
\(979\) | 3.87007 | + | 6.70316i | 0.123688 | + | 0.214234i | ||||
\(980\) | 2.57086 | + | 1.79784i | 0.0821231 | + | 0.0574299i | ||||
\(981\) | −1.75701 | + | 2.39344i | −0.0560972 | + | 0.0764167i | ||||
\(982\) | −43.3510 | + | 11.4208i | −1.38338 | + | 0.364452i | ||||
\(983\) | 4.59185 | + | 7.95331i | 0.146457 | + | 0.253671i | 0.929916 | − | 0.367773i | \(-0.119880\pi\) |
−0.783458 | + | 0.621444i | \(0.786546\pi\) | |||||||
\(984\) | 53.4883 | + | 3.61233i | 1.70514 | + | 0.115157i | ||||
\(985\) | 2.45622 | + | 1.41810i | 0.0782616 | + | 0.0451843i | ||||
\(986\) | −10.0981 | + | 37.0628i | −0.321590 | + | 1.18032i | ||||
\(987\) | 27.7408 | + | 19.7021i | 0.883001 | + | 0.627125i | ||||
\(988\) | 20.4752 | + | 12.0520i | 0.651402 | + | 0.383424i | ||||
\(989\) | 29.1433 | 0.926703 | ||||||||
\(990\) | 1.88909 | − | 0.281549i | 0.0600391 | − | 0.00894820i | ||||
\(991\) | 14.9822 | 0.475926 | 0.237963 | − | 0.971274i | \(-0.423520\pi\) | ||||
0.237963 | + | 0.971274i | \(0.423520\pi\) | |||||||
\(992\) | −14.3571 | − | 58.4700i | −0.455839 | − | 1.85642i | ||||
\(993\) | 5.22781 | + | 24.8963i | 0.165899 | + | 0.790059i | ||||
\(994\) | −13.4948 | − | 0.585147i | −0.428028 | − | 0.0185597i | ||||
\(995\) | −1.73255 | + | 3.00086i | −0.0549255 | + | 0.0951337i | ||||
\(996\) | 31.4521 | − | 6.32885i | 0.996599 | − | 0.200537i | ||||
\(997\) | 10.4010 | + | 18.0151i | 0.329404 | + | 0.570545i | 0.982394 | − | 0.186822i | \(-0.0598188\pi\) |
−0.652990 | + | 0.757367i | \(0.726485\pi\) | |||||||
\(998\) | 13.3248 | + | 50.5782i | 0.421788 | + | 1.60102i | ||||
\(999\) | −22.9549 | − | 32.0906i | −0.726259 | − | 1.01530i |
(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 | 504.2.cc.b.293.19 | ✓ | 168 | |
7.6 | odd | 2 | inner | 504.2.cc.b.293.20 | yes | 168 | |
8.5 | even | 2 | inner | 504.2.cc.b.293.52 | yes | 168 | |
9.2 | odd | 6 | inner | 504.2.cc.b.461.51 | yes | 168 | |
56.13 | odd | 2 | inner | 504.2.cc.b.293.51 | yes | 168 | |
63.20 | even | 6 | inner | 504.2.cc.b.461.52 | yes | 168 | |
72.29 | odd | 6 | inner | 504.2.cc.b.461.20 | yes | 168 | |
504.461 | even | 6 | inner | 504.2.cc.b.461.19 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.cc.b.293.19 | ✓ | 168 | 1.1 | even | 1 | trivial | |
504.2.cc.b.293.20 | yes | 168 | 7.6 | odd | 2 | inner | |
504.2.cc.b.293.51 | yes | 168 | 56.13 | odd | 2 | inner | |
504.2.cc.b.293.52 | yes | 168 | 8.5 | even | 2 | inner | |
504.2.cc.b.461.19 | yes | 168 | 504.461 | even | 6 | inner | |
504.2.cc.b.461.20 | yes | 168 | 72.29 | odd | 6 | inner | |
504.2.cc.b.461.51 | yes | 168 | 9.2 | odd | 6 | inner | |
504.2.cc.b.461.52 | yes | 168 | 63.20 | even | 6 | inner |