Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 534.27 | ||
Character | \(\chi\) | \(=\) | 637.534 |
Dual form | 637.2.bl.a.235.27 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.72488 | − | 0.410710i | 1.92678 | − | 0.290416i | 0.929801 | − | 0.368063i | \(-0.119979\pi\) |
0.996981 | + | 0.0776474i | \(0.0247409\pi\) | |||||||
\(3\) | 0.680220 | + | 0.463766i | 0.392725 | + | 0.267756i | 0.743543 | − | 0.668688i | \(-0.233144\pi\) |
−0.350818 | + | 0.936444i | \(0.614096\pi\) | |||||||
\(4\) | 5.34515 | − | 1.64876i | 2.67257 | − | 0.824380i | ||||
\(5\) | 0.189463 | − | 2.52821i | 0.0847306 | − | 1.13065i | −0.779110 | − | 0.626887i | \(-0.784329\pi\) |
0.863841 | − | 0.503765i | \(-0.168052\pi\) | |||||||
\(6\) | 2.04399 | + | 0.984335i | 0.834456 | + | 0.401853i | ||||
\(7\) | −1.91733 | + | 1.82314i | −0.724683 | + | 0.689083i | ||||
\(8\) | 8.92220 | − | 4.29671i | 3.15447 | − | 1.51911i | ||||
\(9\) | −0.848403 | − | 2.16170i | −0.282801 | − | 0.720565i | ||||
\(10\) | −0.522097 | − | 6.96690i | −0.165101 | − | 2.20313i | ||||
\(11\) | −2.37076 | + | 6.04061i | −0.714812 | + | 1.82131i | −0.164451 | + | 0.986385i | \(0.552585\pi\) |
−0.550362 | + | 0.834926i | \(0.685510\pi\) | |||||||
\(12\) | 4.40052 | + | 1.35738i | 1.27032 | + | 0.391842i | ||||
\(13\) | −0.623490 | − | 0.781831i | −0.172925 | − | 0.216841i | ||||
\(14\) | −4.47571 | + | 5.75531i | −1.19618 | + | 1.53817i | ||||
\(15\) | 1.30138 | − | 1.63188i | 0.336014 | − | 0.421348i | ||||
\(16\) | 13.3038 | − | 9.07041i | 3.32596 | − | 2.26760i | ||||
\(17\) | −3.06627 | + | 2.84508i | −0.743679 | + | 0.690033i | −0.958012 | − | 0.286727i | \(-0.907433\pi\) |
0.214333 | + | 0.976761i | \(0.431242\pi\) | |||||||
\(18\) | −3.19963 | − | 5.54191i | −0.754159 | − | 1.30624i | ||||
\(19\) | −0.335953 | + | 0.581888i | −0.0770730 | + | 0.133494i | −0.901986 | − | 0.431766i | \(-0.857891\pi\) |
0.824913 | + | 0.565260i | \(0.191224\pi\) | |||||||
\(20\) | −3.15571 | − | 13.8261i | −0.705638 | − | 3.09160i | ||||
\(21\) | −2.14972 | + | 0.350945i | −0.469107 | + | 0.0765824i | ||||
\(22\) | −3.97911 | + | 17.4336i | −0.848350 | + | 3.71686i | ||||
\(23\) | 0.258963 | + | 0.240283i | 0.0539976 | + | 0.0501024i | 0.706710 | − | 0.707503i | \(-0.250179\pi\) |
−0.652712 | + | 0.757606i | \(0.726369\pi\) | |||||||
\(24\) | 8.06173 | + | 1.21511i | 1.64559 | + | 0.248033i | ||||
\(25\) | −1.41182 | − | 0.212797i | −0.282363 | − | 0.0425594i | ||||
\(26\) | −2.02004 | − | 1.87432i | −0.396163 | − | 0.367585i | ||||
\(27\) | 0.975007 | − | 4.27178i | 0.187640 | − | 0.822105i | ||||
\(28\) | −7.24249 | + | 12.9062i | −1.36870 | + | 2.43904i | ||||
\(29\) | 1.18836 | + | 5.20655i | 0.220673 | + | 0.966832i | 0.956973 | + | 0.290177i | \(0.0937142\pi\) |
−0.736300 | + | 0.676655i | \(0.763429\pi\) | |||||||
\(30\) | 2.87587 | − | 4.98115i | 0.525060 | − | 0.909430i | ||||
\(31\) | −3.77071 | − | 6.53106i | −0.677240 | − | 1.17301i | −0.975809 | − | 0.218626i | \(-0.929843\pi\) |
0.298569 | − | 0.954388i | \(-0.403491\pi\) | |||||||
\(32\) | 18.0074 | − | 16.7084i | 3.18329 | − | 2.95366i | ||||
\(33\) | −4.41407 | + | 3.00946i | −0.768391 | + | 0.523880i | ||||
\(34\) | −7.18671 | + | 9.01185i | −1.23251 | + | 1.54552i | ||||
\(35\) | 4.24603 | + | 5.19284i | 0.717710 | + | 0.877750i | ||||
\(36\) | −8.09895 | − | 10.1558i | −1.34983 | − | 1.69263i | ||||
\(37\) | 2.53064 | + | 0.780600i | 0.416035 | + | 0.128330i | 0.495704 | − | 0.868491i | \(-0.334910\pi\) |
−0.0796687 | + | 0.996821i | \(0.525386\pi\) | |||||||
\(38\) | −0.676446 | + | 1.72356i | −0.109734 | + | 0.279598i | ||||
\(39\) | −0.0615233 | − | 0.820971i | −0.00985161 | − | 0.131461i | ||||
\(40\) | −9.17256 | − | 23.3713i | −1.45031 | − | 3.69533i | ||||
\(41\) | −7.57825 | + | 3.64949i | −1.18352 | + | 0.569955i | −0.918936 | − | 0.394407i | \(-0.870950\pi\) |
−0.264587 | + | 0.964362i | \(0.585236\pi\) | |||||||
\(42\) | −5.71359 | + | 1.83919i | −0.881626 | + | 0.283794i | ||||
\(43\) | 5.72717 | + | 2.75806i | 0.873385 | + | 0.420600i | 0.816204 | − | 0.577764i | \(-0.196074\pi\) |
0.0571810 | + | 0.998364i | \(0.481789\pi\) | |||||||
\(44\) | −2.71257 | + | 36.1968i | −0.408936 | + | 5.45687i | ||||
\(45\) | −5.62597 | + | 1.73538i | −0.838670 | + | 0.258695i | ||||
\(46\) | 0.804330 | + | 0.548383i | 0.118592 | + | 0.0808547i | ||||
\(47\) | 9.21729 | − | 1.38928i | 1.34448 | − | 0.202648i | 0.562937 | − | 0.826500i | \(-0.309671\pi\) |
0.781543 | + | 0.623852i | \(0.214433\pi\) | |||||||
\(48\) | 13.2561 | 1.91335 | ||||||||
\(49\) | 0.352309 | − | 6.99113i | 0.0503299 | − | 0.998733i | ||||
\(50\) | −3.93443 | −0.556412 | ||||||||
\(51\) | −3.40519 | + | 0.513250i | −0.476822 | + | 0.0718693i | ||||
\(52\) | −4.62170 | − | 3.15102i | −0.640914 | − | 0.436968i | ||||
\(53\) | −0.141235 | + | 0.0435651i | −0.0194001 | + | 0.00598413i | −0.304440 | − | 0.952532i | \(-0.598469\pi\) |
0.285040 | + | 0.958516i | \(0.407993\pi\) | |||||||
\(54\) | 0.902314 | − | 12.0405i | 0.122789 | − | 1.63851i | ||||
\(55\) | 14.8228 | + | 7.13827i | 1.99870 | + | 0.962524i | ||||
\(56\) | −9.27330 | + | 24.5046i | −1.23920 | + | 3.27457i | ||||
\(57\) | −0.498382 | + | 0.240008i | −0.0660124 | + | 0.0317899i | ||||
\(58\) | 5.37653 | + | 13.6992i | 0.705972 | + | 1.79879i | ||||
\(59\) | 0.485859 | + | 6.48333i | 0.0632534 | + | 0.844058i | 0.935124 | + | 0.354321i | \(0.115288\pi\) |
−0.871870 | + | 0.489737i | \(0.837093\pi\) | |||||||
\(60\) | 4.26548 | − | 10.8683i | 0.550671 | − | 1.40309i | ||||
\(61\) | 0.758961 | + | 0.234108i | 0.0971750 | + | 0.0299745i | 0.342961 | − | 0.939349i | \(-0.388570\pi\) |
−0.245786 | + | 0.969324i | \(0.579046\pi\) | |||||||
\(62\) | −12.9571 | − | 16.2477i | −1.64555 | − | 2.06346i | ||||
\(63\) | 5.56774 | + | 2.59792i | 0.701470 | + | 0.327308i | ||||
\(64\) | 22.1272 | − | 27.7467i | 2.76591 | − | 3.46834i | ||||
\(65\) | −2.09477 | + | 1.42819i | −0.259824 | + | 0.177145i | ||||
\(66\) | −10.7918 | + | 10.0133i | −1.32838 | + | 1.23256i | ||||
\(67\) | −4.66527 | − | 8.08048i | −0.569953 | − | 0.987188i | −0.996570 | − | 0.0827553i | \(-0.973628\pi\) |
0.426617 | − | 0.904432i | \(-0.359705\pi\) | |||||||
\(68\) | −11.6988 | + | 20.2629i | −1.41869 | + | 2.45724i | ||||
\(69\) | 0.0647170 | + | 0.283543i | 0.00779101 | + | 0.0341346i | ||||
\(70\) | 13.7027 | + | 12.4060i | 1.63778 | + | 1.48280i | ||||
\(71\) | 2.58433 | − | 11.3227i | 0.306704 | − | 1.34376i | −0.553092 | − | 0.833120i | \(-0.686552\pi\) |
0.859796 | − | 0.510638i | \(-0.170591\pi\) | |||||||
\(72\) | −16.8578 | − | 15.6417i | −1.98671 | − | 1.84340i | ||||
\(73\) | −12.3313 | − | 1.85865i | −1.44327 | − | 0.217538i | −0.619739 | − | 0.784808i | \(-0.712761\pi\) |
−0.823532 | + | 0.567270i | \(0.807999\pi\) | |||||||
\(74\) | 7.21631 | + | 1.08768i | 0.838878 | + | 0.126441i | ||||
\(75\) | −0.861657 | − | 0.799501i | −0.0994956 | − | 0.0923184i | ||||
\(76\) | −0.836327 | + | 3.66419i | −0.0959332 | + | 0.420311i | ||||
\(77\) | −6.46735 | − | 15.9041i | −0.737023 | − | 1.81244i | ||||
\(78\) | −0.504824 | − | 2.21178i | −0.0571601 | − | 0.250435i | ||||
\(79\) | −2.18860 | + | 3.79077i | −0.246237 | + | 0.426495i | −0.962479 | − | 0.271357i | \(-0.912528\pi\) |
0.716242 | + | 0.697852i | \(0.245861\pi\) | |||||||
\(80\) | −20.4113 | − | 35.3535i | −2.28206 | − | 3.95264i | ||||
\(81\) | −2.46260 | + | 2.28496i | −0.273622 | + | 0.253884i | ||||
\(82\) | −19.1509 | + | 13.0569i | −2.11487 | + | 1.44189i | ||||
\(83\) | 8.55442 | − | 10.7269i | 0.938970 | − | 1.17743i | −0.0449806 | − | 0.998988i | \(-0.514323\pi\) |
0.983950 | − | 0.178443i | \(-0.0571060\pi\) | |||||||
\(84\) | −10.9119 | + | 5.42022i | −1.19059 | + | 0.591394i | ||||
\(85\) | 6.61203 | + | 8.29122i | 0.717175 | + | 0.899309i | ||||
\(86\) | 16.7386 | + | 5.16318i | 1.80497 | + | 0.556760i | ||||
\(87\) | −1.60628 | + | 4.09272i | −0.172211 | + | 0.438786i | ||||
\(88\) | 4.80228 | + | 64.0820i | 0.511925 | + | 6.83116i | ||||
\(89\) | −0.924152 | − | 2.35470i | −0.0979599 | − | 0.249598i | 0.873490 | − | 0.486842i | \(-0.161851\pi\) |
−0.971450 | + | 0.237244i | \(0.923756\pi\) | |||||||
\(90\) | −14.6174 | + | 7.03935i | −1.54080 | + | 0.742012i | ||||
\(91\) | 2.62083 | + | 0.362319i | 0.274737 | + | 0.0379813i | ||||
\(92\) | 1.78036 | + | 0.857378i | 0.185616 | + | 0.0893879i | ||||
\(93\) | 0.463973 | − | 6.19129i | 0.0481118 | − | 0.642007i | ||||
\(94\) | 24.5454 | − | 7.57126i | 2.53167 | − | 0.780916i | ||||
\(95\) | 1.40749 | + | 0.959609i | 0.144405 | + | 0.0984538i | ||||
\(96\) | 19.9978 | − | 3.01418i | 2.04102 | − | 0.307634i | ||||
\(97\) | −5.30298 | −0.538436 | −0.269218 | − | 0.963079i | \(-0.586765\pi\) | ||||
−0.269218 | + | 0.963079i | \(0.586765\pi\) | |||||||
\(98\) | −1.91132 | − | 19.1947i | −0.193073 | − | 1.93896i | ||||
\(99\) | 15.0693 | 1.51452 | ||||||||
\(100\) | −7.89721 | + | 1.19031i | −0.789721 | + | 0.119031i | ||||
\(101\) | −2.27857 | − | 1.55351i | −0.226727 | − | 0.154580i | 0.444629 | − | 0.895715i | \(-0.353335\pi\) |
−0.671356 | + | 0.741135i | \(0.734288\pi\) | |||||||
\(102\) | −9.06794 | + | 2.79709i | −0.897860 | + | 0.276953i | ||||
\(103\) | −0.293260 | + | 3.91329i | −0.0288958 | + | 0.385588i | 0.963942 | + | 0.266114i | \(0.0857398\pi\) |
−0.992837 | + | 0.119474i | \(0.961879\pi\) | |||||||
\(104\) | −8.92220 | − | 4.29671i | −0.874894 | − | 0.421327i | ||||
\(105\) | 0.479970 | + | 5.50144i | 0.0468403 | + | 0.536885i | ||||
\(106\) | −0.366955 | + | 0.176716i | −0.0356418 | + | 0.0171642i | ||||
\(107\) | 1.58968 | + | 4.05043i | 0.153680 | + | 0.391570i | 0.986892 | − | 0.161384i | \(-0.0515958\pi\) |
−0.833212 | + | 0.552954i | \(0.813501\pi\) | |||||||
\(108\) | −1.83159 | − | 24.4409i | −0.176245 | − | 2.35182i | ||||
\(109\) | −2.68673 | + | 6.84569i | −0.257342 | + | 0.655698i | −0.999901 | − | 0.0140834i | \(-0.995517\pi\) |
0.742558 | + | 0.669781i | \(0.233612\pi\) | |||||||
\(110\) | 43.3221 | + | 13.3631i | 4.13060 | + | 1.27412i | ||||
\(111\) | 1.35938 | + | 1.70461i | 0.129027 | + | 0.161794i | ||||
\(112\) | −8.97122 | + | 41.6458i | −0.847701 | + | 3.93515i | ||||
\(113\) | 0.521760 | − | 0.654267i | 0.0490831 | − | 0.0615482i | −0.756684 | − | 0.653781i | \(-0.773182\pi\) |
0.805767 | + | 0.592232i | \(0.201753\pi\) | |||||||
\(114\) | −1.25946 | + | 0.858685i | −0.117959 | + | 0.0804232i | ||||
\(115\) | 0.656550 | − | 0.609190i | 0.0612236 | − | 0.0568072i | ||||
\(116\) | 14.9363 | + | 25.8705i | 1.38680 | + | 2.40201i | ||||
\(117\) | −1.16111 | + | 2.01110i | −0.107345 | + | 0.185927i | ||||
\(118\) | 3.98667 | + | 17.4668i | 0.367003 | + | 1.60795i | ||||
\(119\) | 0.692062 | − | 11.0452i | 0.0634412 | − | 1.01251i | ||||
\(120\) | 4.59946 | − | 20.1516i | 0.419871 | − | 1.83958i | ||||
\(121\) | −22.8048 | − | 21.1598i | −2.07317 | − | 1.92362i | ||||
\(122\) | 2.16423 | + | 0.326205i | 0.195940 | + | 0.0295332i | ||||
\(123\) | −6.84739 | − | 1.03208i | −0.617408 | − | 0.0930593i | ||||
\(124\) | −30.9232 | − | 28.6925i | −2.77698 | − | 2.57666i | ||||
\(125\) | 2.01531 | − | 8.82964i | 0.180255 | − | 0.789747i | ||||
\(126\) | 16.2384 | + | 4.79231i | 1.44663 | + | 0.426933i | ||||
\(127\) | −1.09765 | − | 4.80914i | −0.0974010 | − | 0.426742i | 0.902592 | − | 0.430497i | \(-0.141662\pi\) |
−0.999993 | + | 0.00375539i | \(0.998805\pi\) | |||||||
\(128\) | 24.3333 | − | 42.1465i | 2.15078 | − | 3.72526i | ||||
\(129\) | 2.61664 | + | 4.53215i | 0.230382 | + | 0.399034i | ||||
\(130\) | −5.12142 | + | 4.75198i | −0.449178 | + | 0.416776i | ||||
\(131\) | 7.88438 | − | 5.37548i | 0.688862 | − | 0.469658i | −0.167609 | − | 0.985854i | \(-0.553605\pi\) |
0.856471 | + | 0.516196i | \(0.172652\pi\) | |||||||
\(132\) | −18.6320 | + | 23.3638i | −1.62171 | + | 2.03355i | ||||
\(133\) | −0.416731 | − | 1.72816i | −0.0361352 | − | 0.149851i | ||||
\(134\) | −16.0310 | − | 20.1023i | −1.38487 | − | 1.73657i | ||||
\(135\) | −10.6153 | − | 3.27437i | −0.913616 | − | 0.281813i | ||||
\(136\) | −15.1334 | + | 38.5592i | −1.29768 | + | 3.30643i | ||||
\(137\) | −0.467638 | − | 6.24019i | −0.0399530 | − | 0.533136i | −0.980891 | − | 0.194557i | \(-0.937673\pi\) |
0.940938 | − | 0.338578i | \(-0.109946\pi\) | |||||||
\(138\) | 0.292800 | + | 0.746042i | 0.0249248 | + | 0.0635073i | ||||
\(139\) | −1.26209 | + | 0.607789i | −0.107049 | + | 0.0515520i | −0.486642 | − | 0.873602i | \(-0.661778\pi\) |
0.379593 | + | 0.925154i | \(0.376064\pi\) | |||||||
\(140\) | 31.2574 | + | 20.7558i | 2.64173 | + | 1.75419i | ||||
\(141\) | 6.91409 | + | 3.32965i | 0.582271 | + | 0.280407i | ||||
\(142\) | 2.39166 | − | 31.9144i | 0.200703 | − | 2.67820i | ||||
\(143\) | 6.20088 | − | 1.91272i | 0.518544 | − | 0.159950i | ||||
\(144\) | −30.8945 | − | 21.0635i | −2.57454 | − | 1.75529i | ||||
\(145\) | 13.3884 | − | 2.01798i | 1.11185 | − | 0.167584i | ||||
\(146\) | −34.3647 | −2.84404 | ||||||||
\(147\) | 3.48190 | − | 4.59212i | 0.287182 | − | 0.378751i | ||||
\(148\) | 14.8137 | 1.21768 | ||||||||
\(149\) | −4.39572 | + | 0.662548i | −0.360111 | + | 0.0542780i | −0.326606 | − | 0.945161i | \(-0.605905\pi\) |
−0.0335051 | + | 0.999439i | \(0.510667\pi\) | |||||||
\(150\) | −2.67628 | − | 1.82465i | −0.218517 | − | 0.148982i | ||||
\(151\) | −7.51666 | + | 2.31858i | −0.611697 | + | 0.188684i | −0.585098 | − | 0.810963i | \(-0.698944\pi\) |
−0.0265991 | + | 0.999646i | \(0.508468\pi\) | |||||||
\(152\) | −0.497241 | + | 6.63522i | −0.0403316 | + | 0.538187i | ||||
\(153\) | 8.75163 | + | 4.21456i | 0.707527 | + | 0.340727i | ||||
\(154\) | −24.1547 | − | 40.6805i | −1.94644 | − | 3.27813i | ||||
\(155\) | −17.2263 | + | 8.29577i | −1.38365 | + | 0.666332i | ||||
\(156\) | −1.68243 | − | 4.28677i | −0.134703 | − | 0.343217i | ||||
\(157\) | 0.525607 | + | 7.01374i | 0.0419480 | + | 0.559758i | 0.978096 | + | 0.208152i | \(0.0667450\pi\) |
−0.936148 | + | 0.351605i | \(0.885636\pi\) | |||||||
\(158\) | −4.40678 | + | 11.2283i | −0.350584 | + | 0.893275i | ||||
\(159\) | −0.116275 | − | 0.0358660i | −0.00922118 | − | 0.00284436i | ||||
\(160\) | −38.8308 | − | 48.6922i | −3.06984 | − | 3.84946i | ||||
\(161\) | −0.934587 | + | 0.0114253i | −0.0736558 | + | 0.000900439i | ||||
\(162\) | −5.77183 | + | 7.23765i | −0.453478 | + | 0.568643i | ||||
\(163\) | −16.1903 | + | 11.0383i | −1.26812 | + | 0.864589i | −0.995240 | − | 0.0974591i | \(-0.968928\pi\) |
−0.272880 | + | 0.962048i | \(0.587976\pi\) | |||||||
\(164\) | −34.4897 | + | 32.0018i | −2.69319 | + | 2.49892i | ||||
\(165\) | 6.77226 | + | 11.7299i | 0.527220 | + | 0.913171i | ||||
\(166\) | 18.9041 | − | 32.7429i | 1.46725 | − | 2.54134i | ||||
\(167\) | 0.787289 | + | 3.44934i | 0.0609223 | + | 0.266918i | 0.996211 | − | 0.0869672i | \(-0.0277175\pi\) |
−0.935289 | + | 0.353885i | \(0.884860\pi\) | |||||||
\(168\) | −17.6723 | + | 12.3679i | −1.36345 | + | 0.954205i | ||||
\(169\) | −0.222521 | + | 0.974928i | −0.0171170 | + | 0.0749945i | ||||
\(170\) | 21.4223 | + | 19.8770i | 1.64301 | + | 1.52449i | ||||
\(171\) | 1.54289 | + | 0.232553i | 0.117988 | + | 0.0177838i | ||||
\(172\) | 35.1599 | + | 5.29951i | 2.68092 | + | 0.404084i | ||||
\(173\) | 8.84278 | + | 8.20490i | 0.672304 | + | 0.623807i | 0.940595 | − | 0.339531i | \(-0.110268\pi\) |
−0.268291 | + | 0.963338i | \(0.586459\pi\) | |||||||
\(174\) | −2.69599 | + | 11.8119i | −0.204382 | + | 0.895458i | ||||
\(175\) | 3.09487 | − | 2.16594i | 0.233951 | − | 0.163729i | ||||
\(176\) | 23.2505 | + | 101.867i | 1.75257 | + | 7.67852i | ||||
\(177\) | −2.67626 | + | 4.63542i | −0.201160 | + | 0.348419i | ||||
\(178\) | −3.48530 | − | 6.03672i | −0.261234 | − | 0.452471i | ||||
\(179\) | 13.9409 | − | 12.9352i | 1.04199 | − | 0.966826i | 0.0425110 | − | 0.999096i | \(-0.486464\pi\) |
0.999479 | + | 0.0322704i | \(0.0102738\pi\) | |||||||
\(180\) | −27.2104 | + | 18.5517i | −2.02814 | + | 1.38277i | ||||
\(181\) | −2.21799 | + | 2.78127i | −0.164862 | + | 0.206730i | −0.857399 | − | 0.514652i | \(-0.827921\pi\) |
0.692538 | + | 0.721382i | \(0.256493\pi\) | |||||||
\(182\) | 7.29024 | − | 0.0891229i | 0.540389 | − | 0.00660623i | ||||
\(183\) | 0.407689 | + | 0.511226i | 0.0301372 | + | 0.0377909i | ||||
\(184\) | 3.34295 | + | 1.03116i | 0.246445 | + | 0.0760183i | ||||
\(185\) | 2.45299 | − | 6.25012i | 0.180347 | − | 0.459518i | ||||
\(186\) | −1.27855 | − | 17.0611i | −0.0937479 | − | 1.25098i | ||||
\(187\) | −9.91662 | − | 25.2671i | −0.725175 | − | 1.84772i | ||||
\(188\) | 46.9772 | − | 22.6230i | 3.42616 | − | 1.64995i | ||||
\(189\) | 5.91866 | + | 9.96800i | 0.430519 | + | 0.725065i | ||||
\(190\) | 4.22936 | + | 2.03675i | 0.306830 | + | 0.147761i | ||||
\(191\) | 1.06906 | − | 14.2656i | 0.0773543 | − | 1.03222i | −0.814579 | − | 0.580053i | \(-0.803032\pi\) |
0.891933 | − | 0.452168i | \(-0.149349\pi\) | |||||||
\(192\) | 27.9194 | − | 8.61199i | 2.01491 | − | 0.621517i | ||||
\(193\) | −1.26417 | − | 0.861900i | −0.0909973 | − | 0.0620409i | 0.516967 | − | 0.856006i | \(-0.327061\pi\) |
−0.607964 | + | 0.793965i | \(0.708013\pi\) | |||||||
\(194\) | −14.4500 | + | 2.17799i | −1.03745 | + | 0.156370i | ||||
\(195\) | −2.08725 | −0.149471 | ||||||||
\(196\) | −9.64355 | − | 37.9495i | −0.688825 | − | 2.71068i | ||||
\(197\) | 8.81475 | 0.628025 | 0.314012 | − | 0.949419i | \(-0.398327\pi\) | ||||
0.314012 | + | 0.949419i | \(0.398327\pi\) | |||||||
\(198\) | 41.0621 | − | 6.18911i | 2.91816 | − | 0.439841i | ||||
\(199\) | 12.0120 | + | 8.18967i | 0.851511 | + | 0.580550i | 0.908528 | − | 0.417823i | \(-0.137207\pi\) |
−0.0570176 | + | 0.998373i | \(0.518159\pi\) | |||||||
\(200\) | −13.5108 | + | 4.16754i | −0.955360 | + | 0.294689i | ||||
\(201\) | 0.574045 | − | 7.66010i | 0.0404900 | − | 0.540302i | ||||
\(202\) | −6.84688 | − | 3.29729i | −0.481745 | − | 0.231996i | ||||
\(203\) | −11.7708 | − | 7.81613i | −0.826146 | − | 0.548585i | ||||
\(204\) | −17.3550 | + | 8.35773i | −1.21509 | + | 0.585158i | ||||
\(205\) | 7.79089 | + | 19.8509i | 0.544140 | + | 1.38645i | ||||
\(206\) | 0.808126 | + | 10.7837i | 0.0563048 | + | 0.751335i | ||||
\(207\) | 0.299713 | − | 0.763656i | 0.0208315 | − | 0.0530778i | ||||
\(208\) | −15.3863 | − | 4.74606i | −1.06685 | − | 0.329080i | ||||
\(209\) | −2.71849 | − | 3.40888i | −0.188042 | − | 0.235797i | ||||
\(210\) | 3.56736 | + | 14.7936i | 0.246171 | + | 1.02086i | ||||
\(211\) | 4.37227 | − | 5.48265i | 0.300999 | − | 0.377441i | −0.608213 | − | 0.793774i | \(-0.708113\pi\) |
0.909212 | + | 0.416333i | \(0.136685\pi\) | |||||||
\(212\) | −0.683092 | + | 0.465724i | −0.0469149 | + | 0.0319860i | ||||
\(213\) | 7.00901 | − | 6.50341i | 0.480249 | − | 0.445606i | ||||
\(214\) | 5.99523 | + | 10.3840i | 0.409825 | + | 0.709839i | ||||
\(215\) | 8.05805 | − | 13.9570i | 0.549555 | − | 0.951857i | ||||
\(216\) | −9.65539 | − | 42.3030i | −0.656966 | − | 2.87836i | ||||
\(217\) | 19.1368 | + | 5.64766i | 1.29909 | + | 0.383388i | ||||
\(218\) | −4.50944 | + | 19.7572i | −0.305418 | + | 1.33812i | ||||
\(219\) | −7.52602 | − | 6.98313i | −0.508562 | − | 0.471876i | ||||
\(220\) | 90.9992 | + | 13.7159i | 6.13517 | + | 0.924727i | ||||
\(221\) | 4.13616 | + | 0.623426i | 0.278228 | + | 0.0419362i | ||||
\(222\) | 4.40425 | + | 4.08654i | 0.295594 | + | 0.274271i | ||||
\(223\) | −5.44009 | + | 23.8346i | −0.364295 | + | 1.59608i | 0.377865 | + | 0.925861i | \(0.376658\pi\) |
−0.742161 | + | 0.670222i | \(0.766199\pi\) | |||||||
\(224\) | −4.06430 | + | 64.8656i | −0.271558 | + | 4.33402i | ||||
\(225\) | 0.737786 | + | 3.23245i | 0.0491857 | + | 0.215497i | ||||
\(226\) | 1.15302 | − | 1.99709i | 0.0766978 | − | 0.132845i | ||||
\(227\) | 7.84413 | + | 13.5864i | 0.520633 | + | 0.901763i | 0.999712 | + | 0.0239914i | \(0.00763744\pi\) |
−0.479079 | + | 0.877772i | \(0.659029\pi\) | |||||||
\(228\) | −2.26821 | + | 2.10459i | −0.150216 | + | 0.139380i | ||||
\(229\) | 1.57541 | − | 1.07410i | 0.104106 | − | 0.0709783i | −0.510148 | − | 0.860087i | \(-0.670409\pi\) |
0.614254 | + | 0.789108i | \(0.289457\pi\) | |||||||
\(230\) | 1.53882 | − | 1.92962i | 0.101467 | − | 0.127235i | ||||
\(231\) | 2.97655 | − | 13.8176i | 0.195843 | − | 0.909132i | ||||
\(232\) | 32.9738 | + | 41.3479i | 2.16484 | + | 2.71462i | ||||
\(233\) | 1.94304 | + | 0.599349i | 0.127293 | + | 0.0392647i | 0.357747 | − | 0.933819i | \(-0.383545\pi\) |
−0.230454 | + | 0.973083i | \(0.574021\pi\) | |||||||
\(234\) | −2.33791 | + | 5.95689i | −0.152834 | + | 0.389414i | ||||
\(235\) | −1.76606 | − | 23.5665i | −0.115205 | − | 1.53731i | ||||
\(236\) | 13.2864 | + | 33.8533i | 0.864874 | + | 2.20366i | ||||
\(237\) | −3.24677 | + | 1.56356i | −0.210900 | + | 0.101564i | ||||
\(238\) | −2.65058 | − | 30.3811i | −0.171812 | − | 1.96931i | ||||
\(239\) | 3.60058 | + | 1.73395i | 0.232902 | + | 0.112160i | 0.546695 | − | 0.837332i | \(-0.315886\pi\) |
−0.313793 | + | 0.949491i | \(0.601600\pi\) | |||||||
\(240\) | 2.51154 | − | 33.5142i | 0.162120 | − | 2.16333i | ||||
\(241\) | −1.47181 | + | 0.453993i | −0.0948076 | + | 0.0292443i | −0.341796 | − | 0.939774i | \(-0.611035\pi\) |
0.246988 | + | 0.969018i | \(0.420559\pi\) | |||||||
\(242\) | −70.8310 | − | 48.2918i | −4.55319 | − | 3.10431i | ||||
\(243\) | −15.7329 | + | 2.37135i | −1.00927 | + | 0.152122i | ||||
\(244\) | 4.44275 | 0.284418 | ||||||||
\(245\) | −17.6083 | − | 2.21528i | −1.12495 | − | 0.141529i | ||||
\(246\) | −19.0822 | −1.21664 | ||||||||
\(247\) | 0.664402 | − | 0.100143i | 0.0422749 | − | 0.00637192i | ||||
\(248\) | −61.7051 | − | 42.0698i | −3.91828 | − | 2.67144i | ||||
\(249\) | 10.7937 | − | 3.32940i | 0.684021 | − | 0.210992i | ||||
\(250\) | 1.86505 | − | 24.8874i | 0.117956 | − | 1.57402i | ||||
\(251\) | 9.39504 | + | 4.52441i | 0.593010 | + | 0.285578i | 0.706220 | − | 0.707993i | \(-0.250399\pi\) |
−0.113210 | + | 0.993571i | \(0.536113\pi\) | |||||||
\(252\) | 34.0438 | + | 4.70642i | 2.14456 | + | 0.296476i | ||||
\(253\) | −2.06539 | + | 0.994641i | −0.129850 | + | 0.0625326i | ||||
\(254\) | −4.96613 | − | 12.6535i | −0.311603 | − | 0.793951i | ||||
\(255\) | 0.652446 | + | 8.70629i | 0.0408578 | + | 0.545209i | ||||
\(256\) | 23.0639 | − | 58.7659i | 1.44149 | − | 3.67287i | ||||
\(257\) | 23.7910 | + | 7.33855i | 1.48404 | + | 0.457766i | 0.927744 | − | 0.373218i | \(-0.121746\pi\) |
0.556297 | + | 0.830984i | \(0.312222\pi\) | |||||||
\(258\) | 8.99143 | + | 11.2749i | 0.559782 | + | 0.701945i | ||||
\(259\) | −6.27523 | + | 3.11705i | −0.389924 | + | 0.193684i | ||||
\(260\) | −8.84209 | + | 11.0876i | −0.548363 | + | 0.687626i | ||||
\(261\) | 10.2468 | − | 6.98613i | 0.634259 | − | 0.432431i | ||||
\(262\) | 19.2762 | − | 17.8857i | 1.19089 | − | 1.10498i | ||||
\(263\) | 4.82454 | + | 8.35635i | 0.297494 | + | 0.515275i | 0.975562 | − | 0.219724i | \(-0.0705158\pi\) |
−0.678068 | + | 0.734999i | \(0.737182\pi\) | |||||||
\(264\) | −26.4525 | + | 45.8170i | −1.62804 | + | 2.81984i | ||||
\(265\) | 0.0833831 | + | 0.365325i | 0.00512218 | + | 0.0224418i | ||||
\(266\) | −1.84532 | − | 4.53788i | −0.113144 | − | 0.278235i | ||||
\(267\) | 0.463404 | − | 2.03030i | 0.0283598 | − | 0.124253i | ||||
\(268\) | −38.2593 | − | 35.4995i | −2.33706 | − | 2.16847i | ||||
\(269\) | 15.9601 | + | 2.40560i | 0.973106 | + | 0.146672i | 0.616305 | − | 0.787508i | \(-0.288629\pi\) |
0.356802 | + | 0.934180i | \(0.383867\pi\) | |||||||
\(270\) | −30.2701 | − | 4.56249i | −1.84218 | − | 0.277664i | ||||
\(271\) | 11.4995 | + | 10.6700i | 0.698545 | + | 0.648155i | 0.947276 | − | 0.320417i | \(-0.103823\pi\) |
−0.248731 | + | 0.968572i | \(0.580014\pi\) | |||||||
\(272\) | −14.9871 | + | 65.6628i | −0.908727 | + | 3.98139i | ||||
\(273\) | 1.61471 | + | 1.46191i | 0.0977265 | + | 0.0884786i | ||||
\(274\) | −3.83717 | − | 16.8117i | −0.231812 | − | 1.01563i | ||||
\(275\) | 4.63250 | − | 8.02373i | 0.279350 | − | 0.483849i | ||||
\(276\) | 0.813417 | + | 1.40888i | 0.0489619 | + | 0.0848046i | ||||
\(277\) | 19.5810 | − | 18.1685i | 1.17651 | − | 1.09164i | 0.182404 | − | 0.983224i | \(-0.441612\pi\) |
0.994105 | − | 0.108417i | \(-0.0345783\pi\) | |||||||
\(278\) | −3.18941 | + | 2.17450i | −0.191288 | + | 0.130418i | ||||
\(279\) | −10.9191 | + | 13.6921i | −0.653709 | + | 0.819725i | ||||
\(280\) | 60.1960 | + | 28.0876i | 3.59740 | + | 1.67856i | ||||
\(281\) | 7.30407 | + | 9.15901i | 0.435724 | + | 0.546381i | 0.950411 | − | 0.310998i | \(-0.100663\pi\) |
−0.514686 | + | 0.857378i | \(0.672092\pi\) | |||||||
\(282\) | 20.2076 | + | 6.23321i | 1.20334 | + | 0.371183i | ||||
\(283\) | −8.87513 | + | 22.6135i | −0.527572 | + | 1.34423i | 0.380253 | + | 0.924882i | \(0.375837\pi\) |
−0.907825 | + | 0.419349i | \(0.862258\pi\) | |||||||
\(284\) | −4.85478 | − | 64.7825i | −0.288078 | − | 3.84413i | ||||
\(285\) | 0.512367 | + | 1.30549i | 0.0303500 | + | 0.0773306i | ||||
\(286\) | 16.1111 | − | 7.75870i | 0.952669 | − | 0.458781i | ||||
\(287\) | 7.87646 | − | 20.8135i | 0.464933 | − | 1.22858i | ||||
\(288\) | −51.3961 | − | 24.7510i | −3.02854 | − | 1.45847i | ||||
\(289\) | 0.0371024 | − | 0.495097i | 0.00218249 | − | 0.0291233i | ||||
\(290\) | 35.6531 | − | 10.9975i | 2.09362 | − | 0.645796i | ||||
\(291\) | −3.60719 | − | 2.45934i | −0.211457 | − | 0.144169i | ||||
\(292\) | −68.9771 | + | 10.3966i | −4.03658 | + | 0.608416i | ||||
\(293\) | −29.8667 | −1.74483 | −0.872414 | − | 0.488767i | \(-0.837447\pi\) | ||||
−0.872414 | + | 0.488767i | \(0.837447\pi\) | |||||||
\(294\) | 7.60173 | − | 13.9430i | 0.443342 | − | 0.813173i | ||||
\(295\) | 16.4833 | 0.959695 | ||||||||
\(296\) | 25.9329 | − | 3.90876i | 1.50732 | − | 0.227192i | ||||
\(297\) | 23.4927 | + | 16.0170i | 1.36318 | + | 0.929402i | ||||
\(298\) | −11.7057 | + | 3.61073i | −0.678093 | + | 0.209164i | ||||
\(299\) | 0.0263997 | − | 0.352279i | 0.00152673 | − | 0.0203728i | ||||
\(300\) | −5.92387 | − | 2.85279i | −0.342015 | − | 0.164706i | ||||
\(301\) | −16.0092 | + | 5.15333i | −0.922755 | + | 0.297033i | ||||
\(302\) | −19.5297 | + | 9.40503i | −1.12381 | + | 0.541198i | ||||
\(303\) | −0.829469 | − | 2.11345i | −0.0476517 | − | 0.121415i | ||||
\(304\) | 0.808493 | + | 10.7886i | 0.0463702 | + | 0.618768i | ||||
\(305\) | 0.735672 | − | 1.87446i | 0.0421244 | − | 0.107331i | ||||
\(306\) | 25.5781 | + | 7.88980i | 1.46220 | + | 0.451030i | ||||
\(307\) | 12.0380 | + | 15.0951i | 0.687043 | + | 0.861525i | 0.995982 | − | 0.0895573i | \(-0.0285452\pi\) |
−0.308939 | + | 0.951082i | \(0.599974\pi\) | |||||||
\(308\) | −60.7909 | − | 74.3465i | −3.46388 | − | 4.23629i | ||||
\(309\) | −2.01433 | + | 2.52589i | −0.114591 | + | 0.143693i | ||||
\(310\) | −43.5326 | + | 29.6800i | −2.47248 | + | 1.68571i | ||||
\(311\) | 18.8930 | − | 17.5301i | 1.07132 | − | 0.994042i | 0.0713281 | − | 0.997453i | \(-0.477276\pi\) |
0.999994 | + | 0.00341105i | \(0.00108577\pi\) | |||||||
\(312\) | −4.07639 | − | 7.06052i | −0.230780 | − | 0.399723i | ||||
\(313\) | 9.41898 | − | 16.3141i | 0.532392 | − | 0.922130i | −0.466893 | − | 0.884314i | \(-0.654627\pi\) |
0.999285 | − | 0.0378161i | \(-0.0120401\pi\) | |||||||
\(314\) | 4.31283 | + | 18.8957i | 0.243387 | + | 1.06635i | ||||
\(315\) | 7.62299 | − | 13.5842i | 0.429507 | − | 0.765385i | ||||
\(316\) | −5.44834 | + | 23.8707i | −0.306493 | + | 1.34283i | ||||
\(317\) | −22.2688 | − | 20.6625i | −1.25074 | − | 1.16052i | −0.980242 | − | 0.197800i | \(-0.936620\pi\) |
−0.270500 | − | 0.962720i | \(-0.587189\pi\) | |||||||
\(318\) | −0.331565 | − | 0.0499754i | −0.0185932 | − | 0.00280248i | ||||
\(319\) | −34.2681 | − | 5.16508i | −1.91864 | − | 0.289189i | ||||
\(320\) | −65.9573 | − | 61.1994i | −3.68712 | − | 3.42115i | ||||
\(321\) | −0.797123 | + | 3.49242i | −0.0444910 | + | 0.194928i | ||||
\(322\) | −2.54195 | + | 0.414977i | −0.141657 | + | 0.0231257i | ||||
\(323\) | −0.625396 | − | 2.74004i | −0.0347980 | − | 0.152460i | ||||
\(324\) | −9.39560 | + | 16.2737i | −0.521978 | + | 0.904092i | ||||
\(325\) | 0.713881 | + | 1.23648i | 0.0395990 | + | 0.0685875i | ||||
\(326\) | −39.5830 | + | 36.7276i | −2.19230 | + | 2.03416i | ||||
\(327\) | −5.00237 | + | 3.41056i | −0.276632 | + | 0.188604i | ||||
\(328\) | −51.9339 | + | 65.1230i | −2.86757 | + | 3.59582i | ||||
\(329\) | −15.1397 | + | 19.4681i | −0.834680 | + | 1.07331i | ||||
\(330\) | 23.2712 | + | 29.1811i | 1.28104 | + | 1.60637i | ||||
\(331\) | 20.5242 | + | 6.33086i | 1.12811 | + | 0.347976i | 0.801981 | − | 0.597350i | \(-0.203780\pi\) |
0.326129 | + | 0.945325i | \(0.394256\pi\) | |||||||
\(332\) | 28.0386 | − | 71.4411i | 1.53882 | − | 3.92084i | ||||
\(333\) | −0.459586 | − | 6.13275i | −0.0251851 | − | 0.336072i | ||||
\(334\) | 3.56195 | + | 9.07569i | 0.194901 | + | 0.496600i | ||||
\(335\) | −21.3131 | + | 10.2638i | −1.16446 | + | 0.560773i | ||||
\(336\) | −25.4163 | + | 24.1677i | −1.38657 | + | 1.31846i | ||||
\(337\) | −32.2864 | − | 15.5483i | −1.75875 | − | 0.846969i | −0.973799 | − | 0.227412i | \(-0.926973\pi\) |
−0.784952 | − | 0.619557i | \(-0.787312\pi\) | |||||||
\(338\) | −0.205931 | + | 2.74795i | −0.0112012 | + | 0.149469i | ||||
\(339\) | 0.658339 | − | 0.203071i | 0.0357561 | − | 0.0110293i | ||||
\(340\) | 49.0125 | + | 33.4162i | 2.65808 | + | 1.81225i | ||||
\(341\) | 48.3911 | − | 7.29378i | 2.62052 | − | 0.394980i | ||||
\(342\) | 4.29970 | 0.232501 | ||||||||
\(343\) | 12.0703 | + | 14.0466i | 0.651736 | + | 0.758446i | ||||
\(344\) | 62.9495 | 3.39401 | ||||||||
\(345\) | 0.729120 | − | 0.109897i | 0.0392545 | − | 0.00591667i | ||||
\(346\) | 27.4654 | + | 18.7256i | 1.47655 | + | 1.00669i | ||||
\(347\) | −17.7091 | + | 5.46252i | −0.950672 | + | 0.293244i | −0.731036 | − | 0.682338i | \(-0.760963\pi\) |
−0.219636 | + | 0.975582i | \(0.570487\pi\) | |||||||
\(348\) | −1.83786 | + | 24.5246i | −0.0985198 | + | 1.31466i | ||||
\(349\) | −29.2706 | − | 14.0960i | −1.56682 | − | 0.754539i | −0.569112 | − | 0.822260i | \(-0.692713\pi\) |
−0.997704 | + | 0.0677206i | \(0.978427\pi\) | |||||||
\(350\) | 7.54359 | − | 7.17302i | 0.403222 | − | 0.383414i | ||||
\(351\) | −3.94772 | + | 1.90112i | −0.210714 | + | 0.101474i | ||||
\(352\) | 58.2378 | + | 148.387i | 3.10408 | + | 7.90908i | ||||
\(353\) | −0.211197 | − | 2.81823i | −0.0112409 | − | 0.149999i | −1.00000 | 0.000481300i | \(-0.999847\pi\) | |
0.988759 | − | 0.149518i | \(-0.0477723\pi\) | |||||||
\(354\) | −5.38868 | + | 13.7301i | −0.286405 | + | 0.729748i | ||||
\(355\) | −28.1366 | − | 8.67899i | −1.49334 | − | 0.460633i | ||||
\(356\) | −8.82206 | − | 11.0625i | −0.467568 | − | 0.586312i | ||||
\(357\) | 5.59315 | − | 7.19221i | 0.296021 | − | 0.380652i | ||||
\(358\) | 32.6746 | − | 40.9727i | 1.72691 | − | 2.16547i | ||||
\(359\) | 7.38391 | − | 5.03427i | 0.389708 | − | 0.265698i | −0.352577 | − | 0.935783i | \(-0.614694\pi\) |
0.742285 | + | 0.670084i | \(0.233742\pi\) | |||||||
\(360\) | −42.7396 | + | 39.6566i | −2.25257 | + | 2.09008i | ||||
\(361\) | 9.27427 | + | 16.0635i | 0.488120 | + | 0.845448i | ||||
\(362\) | −4.90146 | + | 8.48958i | −0.257615 | + | 0.446203i | ||||
\(363\) | −5.69911 | − | 24.9694i | −0.299126 | − | 1.31056i | ||||
\(364\) | 14.6061 | − | 2.38446i | 0.765566 | − | 0.124980i | ||||
\(365\) | −7.03538 | + | 30.8240i | −0.368249 | + | 1.61340i | ||||
\(366\) | 1.32087 | + | 1.22559i | 0.0690429 | + | 0.0640625i | ||||
\(367\) | −1.21941 | − | 0.183797i | −0.0636529 | − | 0.00959412i | 0.117139 | − | 0.993116i | \(-0.462628\pi\) |
−0.180791 | + | 0.983521i | \(0.557866\pi\) | |||||||
\(368\) | 5.62467 | + | 0.847782i | 0.293206 | + | 0.0441937i | ||||
\(369\) | 14.3185 | + | 13.2856i | 0.745391 | + | 0.691622i | ||||
\(370\) | 4.11712 | − | 18.0383i | 0.214039 | − | 0.937766i | ||||
\(371\) | 0.191368 | − | 0.341019i | 0.00993533 | − | 0.0177048i | ||||
\(372\) | −7.72794 | − | 33.8583i | −0.400675 | − | 1.75547i | ||||
\(373\) | 7.70510 | − | 13.3456i | 0.398955 | − | 0.691011i | −0.594642 | − | 0.803991i | \(-0.702706\pi\) |
0.993597 | + | 0.112980i | \(0.0360396\pi\) | |||||||
\(374\) | −37.3991 | − | 64.7771i | −1.93386 | − | 3.34954i | ||||
\(375\) | 5.46574 | − | 5.07146i | 0.282250 | − | 0.261889i | ||||
\(376\) | 76.2692 | − | 51.9994i | 3.93328 | − | 2.68167i | ||||
\(377\) | 3.32972 | − | 4.17533i | 0.171489 | − | 0.215040i | ||||
\(378\) | 20.2216 | + | 24.7308i | 1.04009 | + | 1.27201i | ||||
\(379\) | −5.25933 | − | 6.59499i | −0.270154 | − | 0.338762i | 0.628186 | − | 0.778063i | \(-0.283798\pi\) |
−0.898340 | + | 0.439301i | \(0.855226\pi\) | |||||||
\(380\) | 9.10539 | + | 2.80864i | 0.467097 | + | 0.144080i | ||||
\(381\) | 1.48367 | − | 3.78033i | 0.0760106 | − | 0.193672i | ||||
\(382\) | −2.94596 | − | 39.3111i | −0.150728 | − | 2.01133i | ||||
\(383\) | 2.24213 | + | 5.71284i | 0.114567 | + | 0.291913i | 0.976644 | − | 0.214866i | \(-0.0689314\pi\) |
−0.862076 | + | 0.506779i | \(0.830836\pi\) | |||||||
\(384\) | 36.0981 | − | 17.3839i | 1.84212 | − | 0.887120i | ||||
\(385\) | −41.4342 | + | 13.3376i | −2.11168 | + | 0.679747i | ||||
\(386\) | −3.79872 | − | 1.82936i | −0.193350 | − | 0.0931122i | ||||
\(387\) | 1.10314 | − | 14.7203i | 0.0560756 | − | 0.748277i | ||||
\(388\) | −28.3452 | + | 8.74334i | −1.43901 | + | 0.443876i | ||||
\(389\) | 8.51432 | + | 5.80496i | 0.431693 | + | 0.294323i | 0.759605 | − | 0.650385i | \(-0.225392\pi\) |
−0.327912 | + | 0.944708i | \(0.606345\pi\) | |||||||
\(390\) | −5.68750 | + | 0.857252i | −0.287998 | + | 0.0434087i | ||||
\(391\) | −1.47767 | −0.0747292 | ||||||||
\(392\) | −26.8955 | − | 63.8900i | −1.35843 | − | 3.22693i | ||||
\(393\) | 7.85608 | 0.396287 | ||||||||
\(394\) | 24.0191 | − | 3.62030i | 1.21007 | − | 0.182388i | ||||
\(395\) | 9.16923 | + | 6.25147i | 0.461354 | + | 0.314546i | ||||
\(396\) | 80.5477 | − | 24.8457i | 4.04767 | − | 1.24854i | ||||
\(397\) | 0.539043 | − | 7.19303i | 0.0270538 | − | 0.361008i | −0.967204 | − | 0.253999i | \(-0.918254\pi\) |
0.994258 | − | 0.107008i | \(-0.0341271\pi\) | |||||||
\(398\) | 36.0950 | + | 17.3824i | 1.80928 | + | 0.871302i | ||||
\(399\) | 0.517994 | − | 1.36880i | 0.0259322 | − | 0.0685256i | ||||
\(400\) | −20.7127 | + | 9.97472i | −1.03564 | + | 0.498736i | ||||
\(401\) | −7.72038 | − | 19.6712i | −0.385537 | − | 0.982333i | −0.983516 | − | 0.180821i | \(-0.942124\pi\) |
0.597979 | − | 0.801512i | \(-0.295971\pi\) | |||||||
\(402\) | −1.58187 | − | 21.1086i | −0.0788966 | − | 1.05280i | ||||
\(403\) | −2.75519 | + | 7.02011i | −0.137246 | + | 0.349697i | ||||
\(404\) | −14.7407 | − | 4.54690i | −0.733376 | − | 0.226217i | ||||
\(405\) | 5.31029 | + | 6.65889i | 0.263870 | + | 0.330883i | ||||
\(406\) | −35.2841 | − | 16.4636i | −1.75112 | − | 0.817077i | ||||
\(407\) | −10.7149 | + | 13.4360i | −0.531116 | + | 0.665998i | ||||
\(408\) | −28.1765 | + | 19.2104i | −1.39494 | + | 0.951057i | ||||
\(409\) | −6.21590 | + | 5.76751i | −0.307356 | + | 0.285185i | −0.818736 | − | 0.574170i | \(-0.805325\pi\) |
0.511380 | + | 0.859355i | \(0.329135\pi\) | |||||||
\(410\) | 29.3822 | + | 50.8915i | 1.45108 | + | 2.51335i | ||||
\(411\) | 2.57589 | − | 4.46158i | 0.127060 | − | 0.220074i | ||||
\(412\) | 4.88455 | + | 21.4006i | 0.240645 | + | 1.05433i | ||||
\(413\) | −12.7516 | − | 11.5449i | −0.627464 | − | 0.568087i | ||||
\(414\) | 0.503041 | − | 2.20397i | 0.0247231 | − | 0.108319i | ||||
\(415\) | −25.4992 | − | 23.6598i | −1.25170 | − | 1.16141i | ||||
\(416\) | −24.2906 | − | 3.66122i | −1.19095 | − | 0.179506i | ||||
\(417\) | −1.14037 | − | 0.171883i | −0.0558441 | − | 0.00841714i | ||||
\(418\) | −8.80763 | − | 8.17229i | −0.430795 | − | 0.399720i | ||||
\(419\) | 7.08967 | − | 31.0619i | 0.346353 | − | 1.51747i | −0.439037 | − | 0.898469i | \(-0.644680\pi\) |
0.785389 | − | 0.619002i | \(-0.212463\pi\) | |||||||
\(420\) | 11.6361 | + | 28.6146i | 0.567782 | + | 1.39625i | ||||
\(421\) | 2.07327 | + | 9.08361i | 0.101045 | + | 0.442708i | 0.999989 | + | 0.00464438i | \(0.00147836\pi\) |
−0.898944 | + | 0.438063i | \(0.855665\pi\) | |||||||
\(422\) | 9.66213 | − | 16.7353i | 0.470345 | − | 0.814661i | ||||
\(423\) | −10.8232 | − | 18.7463i | −0.526241 | − | 0.911476i | ||||
\(424\) | −1.07294 | + | 0.995540i | −0.0521064 | + | 0.0483477i | ||||
\(425\) | 4.93443 | − | 3.36424i | 0.239355 | − | 0.163189i | ||||
\(426\) | 16.4277 | − | 20.5997i | 0.795924 | − | 0.998058i | ||||
\(427\) | −1.88199 | + | 0.934830i | −0.0910759 | + | 0.0452396i | ||||
\(428\) | 15.1752 | + | 19.0292i | 0.733523 | + | 0.919809i | ||||
\(429\) | 5.10502 | + | 1.57469i | 0.246473 | + | 0.0760268i | ||||
\(430\) | 16.2250 | − | 41.3406i | 0.782438 | − | 1.99362i | ||||
\(431\) | 2.16456 | + | 28.8841i | 0.104263 | + | 1.39130i | 0.766616 | + | 0.642106i | \(0.221939\pi\) |
−0.662353 | + | 0.749192i | \(0.730442\pi\) | |||||||
\(432\) | −25.7755 | − | 65.6749i | −1.24012 | − | 3.15978i | ||||
\(433\) | 11.3668 | − | 5.47396i | 0.546253 | − | 0.263062i | −0.140340 | − | 0.990103i | \(-0.544820\pi\) |
0.686593 | + | 0.727042i | \(0.259105\pi\) | |||||||
\(434\) | 54.4649 | + | 7.52956i | 2.61440 | + | 0.361430i | ||||
\(435\) | 10.0430 | + | 4.83643i | 0.481523 | + | 0.231889i | ||||
\(436\) | −3.07410 | + | 41.0210i | −0.147223 | + | 1.96455i | ||||
\(437\) | −0.226817 | + | 0.0699639i | −0.0108501 | + | 0.00334683i | ||||
\(438\) | −23.3756 | − | 15.9372i | −1.11693 | − | 0.761508i | ||||
\(439\) | 19.8591 | − | 2.99328i | 0.947823 | − | 0.142861i | 0.343102 | − | 0.939298i | \(-0.388522\pi\) |
0.604722 | + | 0.796437i | \(0.293284\pi\) | |||||||
\(440\) | 162.923 | 7.76704 | ||||||||
\(441\) | −15.4116 | + | 5.16971i | −0.733885 | + | 0.246177i | ||||
\(442\) | 11.5266 | 0.548264 | ||||||||
\(443\) | −35.1936 | + | 5.30459i | −1.67210 | + | 0.252029i | −0.915636 | − | 0.402007i | \(-0.868313\pi\) |
−0.756463 | + | 0.654036i | \(0.773074\pi\) | |||||||
\(444\) | 10.0766 | + | 6.87009i | 0.478213 | + | 0.326040i | ||||
\(445\) | −6.12828 | + | 1.89032i | −0.290508 | + | 0.0896099i | ||||
\(446\) | −5.03450 | + | 67.1807i | −0.238390 | + | 3.18110i | ||||
\(447\) | −3.29732 | − | 1.58791i | −0.155958 | − | 0.0751054i | ||||
\(448\) | 8.16091 | + | 93.5407i | 0.385567 | + | 4.41938i | ||||
\(449\) | 0.857959 | − | 0.413171i | 0.0404896 | − | 0.0194988i | −0.413529 | − | 0.910491i | \(-0.635704\pi\) |
0.454019 | + | 0.890992i | \(0.349990\pi\) | |||||||
\(450\) | 3.33798 | + | 8.50503i | 0.157354 | + | 0.400931i | ||||
\(451\) | −4.07891 | − | 54.4293i | −0.192068 | − | 2.56298i | ||||
\(452\) | 1.71016 | − | 4.35741i | 0.0804390 | − | 0.204955i | ||||
\(453\) | −6.18826 | − | 1.90883i | −0.290750 | − | 0.0896845i | ||||
\(454\) | 26.9544 | + | 33.7998i | 1.26503 | + | 1.58630i | ||||
\(455\) | 1.41257 | − | 6.55736i | 0.0662223 | − | 0.307414i | ||||
\(456\) | −3.41542 | + | 4.28281i | −0.159942 | + | 0.200561i | ||||
\(457\) | 13.8223 | − | 9.42392i | 0.646582 | − | 0.440832i | −0.195116 | − | 0.980780i | \(-0.562508\pi\) |
0.841698 | + | 0.539948i | \(0.181556\pi\) | |||||||
\(458\) | 3.85167 | − | 3.57382i | 0.179977 | − | 0.166994i | ||||
\(459\) | 9.16394 | + | 15.8724i | 0.427736 | + | 0.740861i | ||||
\(460\) | 2.50495 | − | 4.33870i | 0.116794 | − | 0.202293i | ||||
\(461\) | 2.05007 | + | 8.98192i | 0.0954811 | + | 0.418330i | 0.999967 | − | 0.00817444i | \(-0.00260203\pi\) |
−0.904486 | + | 0.426504i | \(0.859745\pi\) | |||||||
\(462\) | 2.43573 | − | 38.8738i | 0.113320 | − | 1.80857i | ||||
\(463\) | −5.41009 | + | 23.7031i | −0.251428 | + | 1.10158i | 0.678721 | + | 0.734396i | \(0.262535\pi\) |
−0.930149 | + | 0.367182i | \(0.880323\pi\) | |||||||
\(464\) | 63.0353 | + | 58.4882i | 2.92634 | + | 2.71525i | ||||
\(465\) | −15.5650 | − | 2.34605i | −0.721810 | − | 0.108795i | ||||
\(466\) | 5.54072 | + | 0.835128i | 0.256669 | + | 0.0386866i | ||||
\(467\) | −11.2313 | − | 10.4211i | −0.519722 | − | 0.482231i | 0.376141 | − | 0.926563i | \(-0.377251\pi\) |
−0.895863 | + | 0.444331i | \(0.853441\pi\) | |||||||
\(468\) | −2.89048 | + | 12.6640i | −0.133613 | + | 0.585395i | ||||
\(469\) | 23.6767 | + | 6.98750i | 1.09329 | + | 0.322653i | ||||
\(470\) | −14.4913 | − | 63.4906i | −0.668434 | − | 2.92860i | ||||
\(471\) | −2.89521 | + | 5.01465i | −0.133404 | + | 0.231063i | ||||
\(472\) | 32.1919 | + | 55.7580i | 1.48175 | + | 2.56647i | ||||
\(473\) | −30.2381 | + | 28.0569i | −1.39035 | + | 1.29006i | ||||
\(474\) | −8.20488 | + | 5.59399i | −0.376863 | + | 0.256941i | ||||
\(475\) | 0.598128 | − | 0.750029i | 0.0274440 | − | 0.0344137i | ||||
\(476\) | −14.5117 | − | 60.1793i | −0.665143 | − | 2.75831i | ||||
\(477\) | 0.213998 | + | 0.268345i | 0.00979831 | + | 0.0122867i | ||||
\(478\) | 10.5233 | + | 3.24600i | 0.481324 | + | 0.148469i | ||||
\(479\) | −9.13767 | + | 23.2824i | −0.417511 | + | 1.06380i | 0.555187 | + | 0.831725i | \(0.312647\pi\) |
−0.972698 | + | 0.232074i | \(0.925449\pi\) | |||||||
\(480\) | −3.83165 | − | 51.1298i | −0.174890 | − | 2.33375i | ||||
\(481\) | −0.967533 | − | 2.46523i | −0.0441157 | − | 0.112405i | ||||
\(482\) | −3.82405 | + | 1.84156i | −0.174181 | + | 0.0838810i | ||||
\(483\) | −0.641024 | − | 0.425658i | −0.0291676 | − | 0.0193681i | ||||
\(484\) | −156.783 | − | 75.5026i | −7.12649 | − | 3.43194i | ||||
\(485\) | −1.00472 | + | 13.4071i | −0.0456220 | + | 0.608784i | ||||
\(486\) | −41.8963 | + | 12.9233i | −1.90046 | + | 0.586213i | ||||
\(487\) | 8.51120 | + | 5.80284i | 0.385679 | + | 0.262952i | 0.740602 | − | 0.671944i | \(-0.234540\pi\) |
−0.354923 | + | 0.934896i | \(0.615493\pi\) | |||||||
\(488\) | 7.77750 | − | 1.17227i | 0.352071 | − | 0.0530661i | ||||
\(489\) | −16.1321 | −0.729521 | ||||||||
\(490\) | −48.8904 | + | 1.19554i | −2.20864 | + | 0.0540092i | ||||
\(491\) | 17.6737 | 0.797603 | 0.398802 | − | 0.917037i | \(-0.369426\pi\) | ||||
0.398802 | + | 0.917037i | \(0.369426\pi\) | |||||||
\(492\) | −38.3019 | + | 5.77309i | −1.72678 | + | 0.260271i | ||||
\(493\) | −18.4569 | − | 12.5837i | −0.831257 | − | 0.566741i | ||||
\(494\) | 1.76929 | − | 0.545753i | 0.0796040 | − | 0.0245546i | ||||
\(495\) | 2.85508 | − | 38.0985i | 0.128326 | − | 1.71240i | ||||
\(496\) | −109.404 | − | 52.6864i | −4.91240 | − | 2.36569i | ||||
\(497\) | 15.6879 | + | 26.4210i | 0.703698 | + | 1.18514i | ||||
\(498\) | 28.0440 | − | 13.5053i | 1.25668 | − | 0.605187i | ||||
\(499\) | −4.99574 | − | 12.7289i | −0.223640 | − | 0.569825i | 0.774380 | − | 0.632721i | \(-0.218062\pi\) |
−0.998020 | + | 0.0628954i | \(0.979967\pi\) | |||||||
\(500\) | −3.78584 | − | 50.5185i | −0.169308 | − | 2.25925i | ||||
\(501\) | −1.06416 | + | 2.71143i | −0.0475430 | + | 0.121138i | ||||
\(502\) | 27.4586 | + | 8.46985i | 1.22554 | + | 0.378028i | ||||
\(503\) | −14.4005 | − | 18.0577i | −0.642087 | − | 0.805151i | 0.349176 | − | 0.937057i | \(-0.386462\pi\) |
−0.991262 | + | 0.131906i | \(0.957890\pi\) | |||||||
\(504\) | 60.8391 | − | 0.743755i | 2.70999 | − | 0.0331295i | ||||
\(505\) | −4.35930 | + | 5.46639i | −0.193986 | + | 0.243251i | ||||
\(506\) | −5.21944 | + | 3.55856i | −0.232033 | + | 0.158197i | ||||
\(507\) | −0.603502 | + | 0.559968i | −0.0268025 | + | 0.0248690i | ||||
\(508\) | −13.7962 | − | 23.8958i | −0.612109 | − | 1.06020i | ||||
\(509\) | −20.4830 | + | 35.4776i | −0.907893 | + | 1.57252i | −0.0909075 | + | 0.995859i | \(0.528977\pi\) |
−0.816986 | + | 0.576658i | \(0.804357\pi\) | |||||||
\(510\) | 5.35360 | + | 23.4556i | 0.237061 | + | 1.03863i | ||||
\(511\) | 27.0318 | − | 18.9181i | 1.19581 | − | 0.836887i | ||||
\(512\) | 17.0520 | − | 74.7098i | 0.753600 | − | 3.30174i | ||||
\(513\) | 2.15815 | + | 2.00247i | 0.0952844 | + | 0.0884110i | ||||
\(514\) | 67.8416 | + | 10.2255i | 2.99236 | + | 0.451026i | ||||
\(515\) | 9.83807 | + | 1.48285i | 0.433517 | + | 0.0653422i | ||||
\(516\) | 21.4588 | + | 19.9108i | 0.944669 | + | 0.876525i | ||||
\(517\) | −13.4599 | + | 58.9717i | −0.591966 | + | 2.59357i | ||||
\(518\) | −15.8190 | + | 11.0709i | −0.695049 | + | 0.486427i | ||||
\(519\) | 2.20988 | + | 9.68213i | 0.0970031 | + | 0.424998i | ||||
\(520\) | −12.5534 | + | 21.7432i | −0.550504 | + | 0.953501i | ||||
\(521\) | 3.15057 | + | 5.45695i | 0.138029 | + | 0.239073i | 0.926750 | − | 0.375677i | \(-0.122590\pi\) |
−0.788721 | + | 0.614751i | \(0.789257\pi\) | |||||||
\(522\) | 25.0520 | − | 23.2448i | 1.09649 | − | 1.01740i | ||||
\(523\) | −12.5529 | + | 8.55843i | −0.548901 | + | 0.374234i | −0.805785 | − | 0.592208i | \(-0.798256\pi\) |
0.256885 | + | 0.966442i | \(0.417304\pi\) | |||||||
\(524\) | 33.2803 | − | 41.7322i | 1.45386 | − | 1.82308i | ||||
\(525\) | 3.10968 | − | 0.0380158i | 0.135718 | − | 0.00165914i | ||||
\(526\) | 16.5783 | + | 20.7886i | 0.722850 | + | 0.906425i | ||||
\(527\) | 30.1434 | + | 9.29801i | 1.31307 | + | 0.405028i | ||||
\(528\) | −31.4271 | + | 80.0748i | −1.36769 | + | 3.48481i | ||||
\(529\) | −1.70947 | − | 22.8112i | −0.0743246 | − | 0.991793i | ||||
\(530\) | 0.377252 | + | 0.961222i | 0.0163868 | + | 0.0417528i | ||||
\(531\) | 13.6028 | − | 6.55076i | 0.590311 | − | 0.284279i | ||||
\(532\) | −5.07682 | − | 8.55020i | −0.220108 | − | 0.370698i | ||||
\(533\) | 7.57825 | + | 3.64949i | 0.328250 | + | 0.158077i | ||||
\(534\) | 0.428854 | − | 5.72266i | 0.0185583 | − | 0.247644i | ||||
\(535\) | 10.5415 | − | 3.25163i | 0.455750 | − | 0.140580i | ||||
\(536\) | −76.3439 | − | 52.0504i | −3.29755 | − | 2.24823i | ||||
\(537\) | 15.4818 | − | 2.33351i | 0.668089 | − | 0.100698i | ||||
\(538\) | 44.4775 | 1.91756 | ||||||||
\(539\) | 41.3954 | + | 18.7025i | 1.78303 | + | 0.805573i | ||||
\(540\) | −62.1388 | −2.67403 | ||||||||
\(541\) | −2.23946 | + | 0.337544i | −0.0962819 | + | 0.0145122i | −0.197006 | − | 0.980402i | \(-0.563122\pi\) |
0.100725 | + | 0.994914i | \(0.467884\pi\) | |||||||
\(542\) | 35.7170 | + | 24.3515i | 1.53418 | + | 1.04598i | ||||
\(543\) | −2.79858 | + | 0.863248i | −0.120099 | + | 0.0370455i | ||||
\(544\) | −7.67870 | + | 102.465i | −0.329221 | + | 4.39315i | ||||
\(545\) | 16.7983 | + | 8.08965i | 0.719561 | + | 0.346522i | ||||
\(546\) | 5.00030 | + | 3.32035i | 0.213993 | + | 0.142098i | ||||
\(547\) | 17.3551 | − | 8.35779i | 0.742052 | − | 0.357353i | −0.0243598 | − | 0.999703i | \(-0.507755\pi\) |
0.766411 | + | 0.642350i | \(0.222040\pi\) | |||||||
\(548\) | −12.7882 | − | 32.5837i | −0.546284 | − | 1.39191i | ||||
\(549\) | −0.137834 | − | 1.83926i | −0.00588259 | − | 0.0784977i | ||||
\(550\) | 9.32760 | − | 23.7663i | 0.397730 | − | 1.01340i | ||||
\(551\) | −3.42887 | − | 1.05767i | −0.146075 | − | 0.0450581i | ||||
\(552\) | 1.79572 | + | 2.25176i | 0.0764310 | + | 0.0958414i | ||||
\(553\) | −2.71484 | − | 11.2583i | −0.115447 | − | 0.478752i | ||||
\(554\) | 45.8939 | − | 57.5492i | 1.94985 | − | 2.44503i | ||||
\(555\) | 4.56717 | − | 3.11384i | 0.193865 | − | 0.132175i | ||||
\(556\) | −5.74394 | + | 5.32960i | −0.243597 | + | 0.226025i | ||||
\(557\) | 6.52994 | + | 11.3102i | 0.276682 | + | 0.479228i | 0.970558 | − | 0.240867i | \(-0.0774317\pi\) |
−0.693876 | + | 0.720095i | \(0.744098\pi\) | |||||||
\(558\) | −24.1297 | + | 41.7939i | −1.02149 | + | 1.76928i | ||||
\(559\) | −1.41449 | − | 6.19730i | −0.0598267 | − | 0.262118i | ||||
\(560\) | 103.590 | + | 30.5715i | 4.37746 | + | 1.29188i | ||||
\(561\) | 4.97256 | − | 21.7862i | 0.209942 | − | 0.919814i | ||||
\(562\) | 23.6644 | + | 21.9574i | 0.998223 | + | 0.926216i | ||||
\(563\) | 36.8269 | + | 5.55076i | 1.55207 | + | 0.233937i | 0.868403 | − | 0.495858i | \(-0.165146\pi\) |
0.683666 | + | 0.729795i | \(0.260385\pi\) | |||||||
\(564\) | 42.4466 | + | 6.39780i | 1.78732 | + | 0.269396i | ||||
\(565\) | −1.55527 | − | 1.44308i | −0.0654308 | − | 0.0607109i | ||||
\(566\) | −14.8961 | + | 65.2641i | −0.626130 | + | 2.74325i | ||||
\(567\) | 0.555813 | − | 8.87068i | 0.0233419 | − | 0.372534i | ||||
\(568\) | −25.5924 | − | 112.128i | −1.07383 | − | 4.70477i | ||||
\(569\) | −2.96020 | + | 5.12722i | −0.124098 | + | 0.214944i | −0.921380 | − | 0.388663i | \(-0.872937\pi\) |
0.797282 | + | 0.603607i | \(0.206270\pi\) | |||||||
\(570\) | 1.93232 | + | 3.34687i | 0.0809359 | + | 0.140185i | ||||
\(571\) | −24.2584 | + | 22.5086i | −1.01518 | + | 0.941954i | −0.998322 | − | 0.0579043i | \(-0.981558\pi\) |
−0.0168623 | + | 0.999858i | \(0.505368\pi\) | |||||||
\(572\) | 29.9910 | − | 20.4475i | 1.25399 | − | 0.854954i | ||||
\(573\) | 7.34309 | − | 9.20794i | 0.306762 | − | 0.384667i | ||||
\(574\) | 12.9141 | − | 59.9492i | 0.539025 | − | 2.50223i | ||||
\(575\) | −0.314477 | − | 0.394341i | −0.0131146 | − | 0.0164452i | ||||
\(576\) | −78.7527 | − | 24.2920i | −3.28136 | − | 1.01217i | ||||
\(577\) | −2.19757 | + | 5.59933i | −0.0914862 | + | 0.233103i | −0.969292 | − | 0.245915i | \(-0.920912\pi\) |
0.877805 | + | 0.479018i | \(0.159007\pi\) | |||||||
\(578\) | −0.102241 | − | 1.36432i | −0.00425268 | − | 0.0567481i | ||||
\(579\) | −0.460197 | − | 1.17256i | −0.0191251 | − | 0.0487300i | ||||
\(580\) | 68.2360 | − | 32.8607i | 2.83334 | − | 1.36447i | ||||
\(581\) | 3.15502 | + | 36.1629i | 0.130892 | + | 1.50029i | ||||
\(582\) | −10.8392 | − | 5.21991i | −0.449301 | − | 0.216372i | ||||
\(583\) | 0.0716742 | − | 0.956426i | 0.00296844 | − | 0.0396111i | ||||
\(584\) | −118.008 | + | 36.4008i | −4.88322 | + | 1.50628i | ||||
\(585\) | 4.86451 | + | 3.31657i | 0.201123 | + | 0.137123i | ||||
\(586\) | −81.3831 | + | 12.2665i | −3.36190 | + | 0.506725i | ||||
\(587\) | −2.70414 | −0.111612 | −0.0558059 | − | 0.998442i | \(-0.517773\pi\) | ||||
−0.0558059 | + | 0.998442i | \(0.517773\pi\) | |||||||
\(588\) | 11.0400 | − | 30.2864i | 0.455280 | − | 1.24899i | ||||
\(589\) | 5.06713 | 0.208788 | ||||||||
\(590\) | 44.9150 | − | 6.76985i | 1.84912 | − | 0.278710i | ||||
\(591\) | 5.99597 | + | 4.08798i | 0.246641 | + | 0.168157i | ||||
\(592\) | 40.7477 | − | 12.5690i | 1.67472 | − | 0.516582i | ||||
\(593\) | −1.37114 | + | 18.2966i | −0.0563059 | + | 0.751350i | 0.895581 | + | 0.444899i | \(0.146760\pi\) |
−0.951887 | + | 0.306451i | \(0.900859\pi\) | |||||||
\(594\) | 70.5931 | + | 33.9958i | 2.89647 | + | 1.39487i | ||||
\(595\) | −27.7935 | − | 3.84234i | −1.13942 | − | 0.157521i | ||||
\(596\) | −22.4034 | + | 10.7889i | −0.917678 | + | 0.441931i | ||||
\(597\) | 4.37274 | + | 11.1416i | 0.178964 | + | 0.455994i | ||||
\(598\) | −0.0727485 | − | 0.970762i | −0.00297491 | − | 0.0396974i | ||||
\(599\) | −15.3835 | + | 39.1964i | −0.628551 | + | 1.60152i | 0.160389 | + | 0.987054i | \(0.448725\pi\) |
−0.788941 | + | 0.614469i | \(0.789370\pi\) | |||||||
\(600\) | −11.1231 | − | 3.43102i | −0.454099 | − | 0.140071i | ||||
\(601\) | −10.9447 | − | 13.7242i | −0.446443 | − | 0.559821i | 0.506786 | − | 0.862072i | \(-0.330833\pi\) |
−0.953228 | + | 0.302251i | \(0.902262\pi\) | |||||||
\(602\) | −41.5067 | + | 20.6173i | −1.69168 | + | 0.840300i | ||||
\(603\) | −13.5095 | + | 16.9404i | −0.550150 | + | 0.689866i | ||||
\(604\) | −36.3549 | + | 24.7863i | −1.47926 | + | 1.00854i | ||||
\(605\) | −57.8172 | + | 53.6465i | −2.35060 | + | 2.18104i | ||||
\(606\) | −3.12822 | − | 5.41823i | −0.127075 | − | 0.220101i | ||||
\(607\) | −2.35803 | + | 4.08423i | −0.0957095 | + | 0.165774i | −0.909904 | − | 0.414818i | \(-0.863845\pi\) |
0.814195 | + | 0.580591i | \(0.197179\pi\) | |||||||
\(608\) | 3.67279 | + | 16.0916i | 0.148951 | + | 0.652599i | ||||
\(609\) | −4.38185 | − | 10.7756i | −0.177562 | − | 0.436648i | ||||
\(610\) | 1.23476 | − | 5.40983i | 0.0499939 | − | 0.219038i | ||||
\(611\) | −6.83307 | − | 6.34016i | −0.276436 | − | 0.256496i | ||||
\(612\) | 53.7275 | + | 8.09812i | 2.17181 | + | 0.327347i | ||||
\(613\) | −7.85740 | − | 1.18431i | −0.317357 | − | 0.0478339i | −0.0115679 | − | 0.999933i | \(-0.503682\pi\) |
−0.305789 | + | 0.952099i | \(0.598920\pi\) | |||||||
\(614\) | 39.0017 | + | 36.1883i | 1.57398 | + | 1.46044i | ||||
\(615\) | −3.90664 | + | 17.1161i | −0.157531 | + | 0.690188i | ||||
\(616\) | −126.038 | − | 114.111i | −5.07822 | − | 4.59767i | ||||
\(617\) | −1.28951 | − | 5.64969i | −0.0519135 | − | 0.227448i | 0.942316 | − | 0.334726i | \(-0.108644\pi\) |
−0.994229 | + | 0.107278i | \(0.965787\pi\) | |||||||
\(618\) | −4.45141 | + | 7.71006i | −0.179062 | + | 0.310144i | ||||
\(619\) | 7.39318 | + | 12.8054i | 0.297157 | + | 0.514691i | 0.975484 | − | 0.220069i | \(-0.0706282\pi\) |
−0.678327 | + | 0.734760i | \(0.737295\pi\) | |||||||
\(620\) | −78.3996 | + | 72.7442i | −3.14860 | + | 2.92148i | ||||
\(621\) | 1.27893 | − | 0.871958i | 0.0513216 | − | 0.0349905i | ||||
\(622\) | 44.2813 | − | 55.5270i | 1.77552 | − | 2.22643i | ||||
\(623\) | 6.06485 | + | 2.82988i | 0.242983 | + | 0.113377i | ||||
\(624\) | −8.26504 | − | 10.3640i | −0.330866 | − | 0.414893i | ||||
\(625\) | −28.7630 | − | 8.87222i | −1.15052 | − | 0.354889i | ||||
\(626\) | 18.9652 | − | 48.3226i | 0.758002 | − | 1.93136i | ||||
\(627\) | −0.268249 | − | 3.57954i | −0.0107128 | − | 0.142953i | ||||
\(628\) | 14.3734 | + | 36.6229i | 0.573562 | + | 1.46141i | ||||
\(629\) | −9.98051 | + | 4.80636i | −0.397949 | + | 0.191642i | ||||
\(630\) | 15.1926 | − | 40.1463i | 0.605286 | − | 1.59947i | ||||
\(631\) | 6.62749 | + | 3.19163i | 0.263836 | + | 0.127057i | 0.561126 | − | 0.827731i | \(-0.310368\pi\) |
−0.297290 | + | 0.954787i | \(0.596083\pi\) | |||||||
\(632\) | −3.23933 | + | 43.2258i | −0.128854 | + | 1.71943i | ||||
\(633\) | 5.51677 | − | 1.70170i | 0.219272 | − | 0.0676364i | ||||
\(634\) | −69.1662 | − | 47.1567i | −2.74694 | − | 1.87283i | ||||
\(635\) | −12.3665 | + | 1.86395i | −0.490749 | + | 0.0739685i | ||||
\(636\) | −0.680640 | −0.0269891 | ||||||||
\(637\) | −5.68555 | + | 4.08345i | −0.225270 | + | 0.161792i | ||||
\(638\) | −95.4977 | −3.78079 | ||||||||
\(639\) | −26.6688 | + | 4.01967i | −1.05500 | + | 0.159016i | ||||
\(640\) | −101.945 | − | 69.5050i | −4.02973 | − | 2.74743i | ||||
\(641\) | 8.32061 | − | 2.56657i | 0.328644 | − | 0.101373i | −0.126042 | − | 0.992025i | \(-0.540227\pi\) |
0.454687 | + | 0.890651i | \(0.349751\pi\) | |||||||
\(642\) | −0.737692 | + | 9.84382i | −0.0291144 | + | 0.388505i | ||||
\(643\) | −16.6158 | − | 8.00174i | −0.655263 | − | 0.315558i | 0.0765478 | − | 0.997066i | \(-0.475610\pi\) |
−0.731811 | + | 0.681508i | \(0.761324\pi\) | |||||||
\(644\) | −4.97667 | + | 1.60198i | −0.196108 | + | 0.0631268i | ||||
\(645\) | 11.9540 | − | 5.75675i | 0.470689 | − | 0.226672i | ||||
\(646\) | −2.82949 | − | 7.20943i | −0.111325 | − | 0.283651i | ||||
\(647\) | −0.861864 | − | 11.5008i | −0.0338834 | − | 0.452142i | −0.988182 | − | 0.153287i | \(-0.951014\pi\) |
0.954298 | − | 0.298855i | \(-0.0966048\pi\) | |||||||
\(648\) | −12.1540 | + | 30.9679i | −0.477454 | + | 1.21653i | ||||
\(649\) | −40.3151 | − | 12.4356i | −1.58251 | − | 0.488139i | ||||
\(650\) | 2.45307 | + | 3.07606i | 0.0962175 | + | 0.120653i | ||||
\(651\) | 10.3980 | + | 12.7166i | 0.407530 | + | 0.498404i | ||||
\(652\) | −68.3398 | + | 85.6954i | −2.67639 | + | 3.35609i | ||||
\(653\) | −36.7456 | + | 25.0528i | −1.43797 | + | 0.980390i | −0.441426 | + | 0.897298i | \(0.645527\pi\) |
−0.996542 | + | 0.0830924i | \(0.973520\pi\) | |||||||
\(654\) | −12.2301 | + | 11.3479i | −0.478235 | + | 0.443737i | ||||
\(655\) | −12.0966 | − | 20.9519i | −0.472652 | − | 0.818657i | ||||
\(656\) | −67.7174 | + | 117.290i | −2.64392 | + | 4.57941i | ||||
\(657\) | 6.44409 | + | 28.2334i | 0.251408 | + | 1.10149i | ||||
\(658\) | −33.2582 | + | 59.2664i | −1.29654 | + | 2.31044i | ||||
\(659\) | 5.60280 | − | 24.5475i | 0.218254 | − | 0.956233i | −0.740514 | − | 0.672041i | \(-0.765418\pi\) |
0.958767 | − | 0.284192i | \(-0.0917252\pi\) | |||||||
\(660\) | 55.5385 | + | 51.5322i | 2.16183 | + | 2.00589i | ||||
\(661\) | 3.21869 | + | 0.485140i | 0.125193 | + | 0.0188697i | 0.211340 | − | 0.977413i | \(-0.432217\pi\) |
−0.0861470 | + | 0.996282i | \(0.527455\pi\) | |||||||
\(662\) | 58.5260 | + | 8.82138i | 2.27468 | + | 0.342853i | ||||
\(663\) | 2.52438 | + | 2.34228i | 0.0980386 | + | 0.0909666i | ||||
\(664\) | 30.2339 | − | 132.463i | 1.17330 | − | 5.14058i | ||||
\(665\) | −4.44812 | + | 0.726162i | −0.172491 | + | 0.0281594i | ||||
\(666\) | −3.77109 | − | 16.5222i | −0.146127 | − | 0.640224i | ||||
\(667\) | −0.943303 | + | 1.63385i | −0.0365248 | + | 0.0632628i | ||||
\(668\) | 9.89531 | + | 17.1392i | 0.382861 | + | 0.663134i | ||||
\(669\) | −14.7541 | + | 13.6898i | −0.570428 | + | 0.529280i | ||||
\(670\) | −53.8601 | + | 36.7212i | −2.08080 | + | 1.41866i | ||||
\(671\) | −3.21347 | + | 4.02957i | −0.124055 | + | 0.155560i | ||||
\(672\) | −32.8471 | + | 42.2380i | −1.26711 | + | 1.62937i | ||||
\(673\) | −22.0825 | − | 27.6905i | −0.851216 | − | 1.06739i | −0.996948 | − | 0.0780670i | \(-0.975125\pi\) |
0.145732 | − | 0.989324i | \(-0.453446\pi\) | |||||||
\(674\) | −94.3623 | − | 29.1069i | −3.63470 | − | 1.12116i | ||||
\(675\) | −2.28555 | + | 5.82349i | −0.0879709 | + | 0.224146i | ||||
\(676\) | 0.418015 | + | 5.57802i | 0.0160775 | + | 0.214539i | ||||
\(677\) | 2.84565 | + | 7.25059i | 0.109367 | + | 0.278663i | 0.975071 | − | 0.221894i | \(-0.0712239\pi\) |
−0.865704 | + | 0.500557i | \(0.833129\pi\) | |||||||
\(678\) | 1.71049 | − | 0.823729i | 0.0656910 | − | 0.0316351i | ||||
\(679\) | 10.1676 | − | 9.66808i | 0.390195 | − | 0.371027i | ||||
\(680\) | 94.6188 | + | 45.5660i | 3.62846 | + | 1.74738i | ||||
\(681\) | −0.965193 | + | 12.8796i | −0.0369863 | + | 0.493548i | ||||
\(682\) | 128.864 | − | 39.7494i | 4.93447 | − | 1.52208i | ||||
\(683\) | −22.6400 | − | 15.4357i | −0.866294 | − | 0.590629i | 0.0465601 | − | 0.998915i | \(-0.485174\pi\) |
−0.912854 | + | 0.408286i | \(0.866126\pi\) | |||||||
\(684\) | 8.63039 | − | 1.30082i | 0.329991 | − | 0.0497382i | ||||
\(685\) | −15.8651 | −0.606176 | ||||||||
\(686\) | 38.6593 | + | 33.3179i | 1.47602 | + | 1.27208i | ||||
\(687\) | 1.56976 | 0.0598899 | ||||||||
\(688\) | 101.210 | − | 15.2550i | 3.85860 | − | 0.581590i | ||||
\(689\) | 0.122119 | + | 0.0832593i | 0.00465236 | + | 0.00317193i | ||||
\(690\) | 1.94163 | − | 0.598913i | 0.0739166 | − | 0.0228002i | ||||
\(691\) | −0.774971 | + | 10.3413i | −0.0294813 | + | 0.393400i | 0.962871 | + | 0.269962i | \(0.0870111\pi\) |
−0.992352 | + | 0.123438i | \(0.960608\pi\) | |||||||
\(692\) | 60.7939 | + | 29.2768i | 2.31104 | + | 1.11294i | ||||
\(693\) | −28.8928 | + | 27.4735i | −1.09755 | + | 1.04363i | ||||
\(694\) | −46.0116 | + | 22.1580i | −1.74658 | + | 0.841106i | ||||
\(695\) | 1.29750 | + | 3.30598i | 0.0492170 | + | 0.125403i | ||||
\(696\) | 3.25371 | + | 43.4178i | 0.123332 | + | 1.64575i | ||||
\(697\) | 12.8538 | − | 32.7510i | 0.486874 | − | 1.24053i | ||||
\(698\) | −85.5481 | − | 26.3881i | −3.23804 | − | 0.998804i | ||||
\(699\) | 1.04374 | + | 1.30881i | 0.0394778 | + | 0.0495036i | ||||
\(700\) | 12.9715 | − | 16.6800i | 0.490275 | − | 0.630443i | ||||
\(701\) | 2.97189 | − | 3.72663i | 0.112247 | − | 0.140753i | −0.722534 | − | 0.691335i | \(-0.757023\pi\) |
0.834781 | + | 0.550582i | \(0.185594\pi\) | |||||||
\(702\) | −9.97626 | + | 6.80170i | −0.376530 | + | 0.256714i | ||||
\(703\) | −1.30440 | + | 1.21031i | −0.0491964 | + | 0.0456476i | ||||
\(704\) | 115.148 | + | 199.443i | 4.33982 | + | 7.51679i | ||||
\(705\) | 9.72803 | − | 16.8494i | 0.366379 | − | 0.634587i | ||||
\(706\) | −1.73296 | − | 7.59261i | −0.0652210 | − | 0.285752i | ||||
\(707\) | 7.20104 | − | 1.17558i | 0.270823 | − | 0.0442123i | ||||
\(708\) | −6.66231 | + | 29.1895i | −0.250385 | + | 1.09701i | ||||
\(709\) | −14.2651 | − | 13.2360i | −0.535735 | − | 0.497090i | 0.365268 | − | 0.930903i | \(-0.380977\pi\) |
−0.901003 | + | 0.433813i | \(0.857168\pi\) | |||||||
\(710\) | −80.2334 | − | 12.0932i | −3.01111 | − | 0.453851i | ||||
\(711\) | 10.0513 | + | 1.51499i | 0.376954 | + | 0.0568166i | ||||
\(712\) | −18.3629 | − | 17.0383i | −0.688179 | − | 0.638537i | ||||
\(713\) | 0.592826 | − | 2.59734i | 0.0222015 | − | 0.0972712i | ||||
\(714\) | 12.2867 | − | 21.8951i | 0.459820 | − | 0.819403i | ||||
\(715\) | −3.66092 | − | 16.0396i | −0.136911 | − | 0.599845i | ||||
\(716\) | 53.1889 | − | 92.1259i | 1.98776 | − | 3.44291i | ||||
\(717\) | 1.64504 | + | 2.84929i | 0.0614351 | + | 0.106409i | ||||
\(718\) | 18.0527 | − | 16.7504i | 0.673719 | − | 0.625120i | ||||
\(719\) | 25.9770 | − | 17.7108i | 0.968778 | − | 0.660501i | 0.0280294 | − | 0.999607i | \(-0.491077\pi\) |
0.940748 | + | 0.339106i | \(0.110124\pi\) | |||||||
\(720\) | −59.1064 | + | 74.1171i | −2.20277 | + | 2.76218i | ||||
\(721\) | −6.57220 | − | 8.03772i | −0.244762 | − | 0.299340i | ||||
\(722\) | 31.8687 | + | 39.9621i | 1.18603 | + | 1.48724i | ||||
\(723\) | −1.21170 | − | 0.373760i | −0.0450637 | − | 0.0139003i | ||||
\(724\) | −7.26984 | + | 18.5232i | −0.270181 | + | 0.688411i | ||||
\(725\) | −0.569809 | − | 7.60357i | −0.0211622 | − | 0.282389i | ||||
\(726\) | −25.7846 | − | 65.6981i | −0.956956 | − | 2.43828i | ||||
\(727\) | −32.2954 | + | 15.5527i | −1.19777 | + | 0.576816i | −0.923040 | − | 0.384705i | \(-0.874303\pi\) |
−0.274731 | + | 0.961521i | \(0.588589\pi\) | |||||||
\(728\) | 24.9403 | − | 8.02823i | 0.924349 | − | 0.297546i | ||||
\(729\) | −2.72151 | − | 1.31061i | −0.100797 | − | 0.0485411i | ||||
\(730\) | −6.51085 | + | 86.8813i | −0.240978 | + | 3.21562i | ||||
\(731\) | −25.4079 | + | 7.83731i | −0.939746 | + | 0.289873i | ||||
\(732\) | 3.02205 | + | 2.06040i | 0.111698 | + | 0.0761544i | ||||
\(733\) | −32.8487 | + | 4.95115i | −1.21329 | + | 0.182875i | −0.724345 | − | 0.689437i | \(-0.757858\pi\) |
−0.488949 | + | 0.872312i | \(0.662620\pi\) | |||||||
\(734\) | −3.39824 | −0.125431 | ||||||||
\(735\) | −10.9502 | − | 9.67302i | −0.403903 | − | 0.356795i | ||||
\(736\) | 8.67800 | 0.319875 | ||||||||
\(737\) | 59.8713 | − | 9.02414i | 2.20539 | − | 0.332408i | ||||
\(738\) | 44.4727 | + | 30.3210i | 1.63706 | + | 1.11613i | ||||
\(739\) | 8.79171 | − | 2.71188i | 0.323408 | − | 0.0997583i | −0.128800 | − | 0.991671i | \(-0.541113\pi\) |
0.452208 | + | 0.891912i | \(0.350636\pi\) | |||||||
\(740\) | 2.80665 | − | 37.4522i | 0.103175 | − | 1.37677i | ||||
\(741\) | 0.498382 | + | 0.240008i | 0.0183085 | + | 0.00881693i | ||||
\(742\) | 0.381395 | − | 1.00783i | 0.0140015 | − | 0.0369988i | ||||
\(743\) | −8.87458 | + | 4.27377i | −0.325577 | + | 0.156789i | −0.589531 | − | 0.807746i | \(-0.700687\pi\) |
0.263954 | + | 0.964535i | \(0.414973\pi\) | |||||||
\(744\) | −22.4625 | − | 57.2335i | −0.823515 | − | 2.09828i | ||||
\(745\) | 0.842235 | + | 11.2388i | 0.0308571 | + | 0.411759i | ||||
\(746\) | 15.5143 | − | 39.5298i | 0.568019 | − | 1.44729i | ||||
\(747\) | −30.4459 | − | 9.39131i | −1.11396 | − | 0.343610i | ||||
\(748\) | −94.6652 | − | 118.706i | −3.46130 | − | 4.34034i | ||||
\(749\) | −10.4324 | − | 4.86781i | −0.381193 | − | 0.177866i | ||||
\(750\) | 12.8106 | − | 16.0640i | 0.467776 | − | 0.586573i | ||||
\(751\) | −24.1445 | + | 16.4614i | −0.881045 | + | 0.600686i | −0.917097 | − | 0.398664i | \(-0.869474\pi\) |
0.0360522 | + | 0.999350i | \(0.488522\pi\) | |||||||
\(752\) | 110.024 | − | 102.087i | 4.01216 | − | 3.72274i | ||||
\(753\) | 4.29243 | + | 7.43470i | 0.156425 | + | 0.270936i | ||||
\(754\) | 7.35823 | − | 12.7448i | 0.267971 | − | 0.464139i | ||||
\(755\) | 4.43774 | + | 19.4430i | 0.161506 | + | 0.707604i | ||||
\(756\) | 48.0709 | + | 43.5220i | 1.74832 | + | 1.58288i | ||||
\(757\) | −6.49507 | + | 28.4568i | −0.236067 | + | 1.03428i | 0.708436 | + | 0.705775i | \(0.249401\pi\) |
−0.944503 | + | 0.328503i | \(0.893456\pi\) | |||||||
\(758\) | −17.0397 | − | 15.8105i | −0.618909 | − | 0.574264i | ||||
\(759\) | −1.86620 | − | 0.281285i | −0.0677389 | − | 0.0102100i | ||||
\(760\) | 16.6810 | + | 2.51426i | 0.605085 | + | 0.0912019i | ||||
\(761\) | −15.4210 | − | 14.3086i | −0.559010 | − | 0.518686i | 0.349284 | − | 0.937017i | \(-0.386425\pi\) |
−0.908295 | + | 0.418331i | \(0.862615\pi\) | |||||||
\(762\) | 2.49020 | − | 10.9103i | 0.0902106 | − | 0.395238i | ||||
\(763\) | −7.32930 | − | 18.0237i | −0.265339 | − | 0.652503i | ||||
\(764\) | −17.8062 | − | 78.0143i | −0.644207 | − | 2.82246i | ||||
\(765\) | 12.3134 | − | 21.3275i | 0.445193 | − | 0.771097i | ||||
\(766\) | 8.45585 | + | 14.6460i | 0.305522 | + | 0.529180i | ||||
\(767\) | 4.76595 | − | 4.42215i | 0.172088 | − | 0.159675i | ||||
\(768\) | 42.9422 | − | 29.2775i | 1.54954 | − | 1.05646i | ||||
\(769\) | −15.6371 | + | 19.6083i | −0.563889 | + | 0.707095i | −0.979271 | − | 0.202552i | \(-0.935076\pi\) |
0.415382 | + | 0.909647i | \(0.363648\pi\) | |||||||
\(770\) | −107.425 | + | 53.3608i | −3.87135 | + | 1.92299i | ||||
\(771\) | 12.7797 | + | 16.0253i | 0.460251 | + | 0.577136i | ||||
\(772\) | −8.17826 | − | 2.52266i | −0.294342 | − | 0.0907925i | ||||
\(773\) | 12.2973 | − | 31.3330i | 0.442303 | − | 1.12697i | −0.519801 | − | 0.854287i | \(-0.673994\pi\) |
0.962104 | − | 0.272682i | \(-0.0879108\pi\) | |||||||
\(774\) | −3.03987 | − | 40.5642i | −0.109266 | − | 1.45805i | ||||
\(775\) | 3.93376 | + | 10.0231i | 0.141305 | + | 0.360039i | ||||
\(776\) | −47.3143 | + | 22.7853i | −1.69848 | + | 0.817946i | ||||
\(777\) | −5.71412 | − | 0.789955i | −0.204993 | − | 0.0283395i | ||||
\(778\) | 25.5847 | + | 12.3209i | 0.917254 | + | 0.441726i | ||||
\(779\) | 0.422341 | − | 5.63575i | 0.0151319 | − | 0.201922i | ||||
\(780\) | −11.1566 | + | 3.44137i | −0.399472 | + | 0.123221i | ||||
\(781\) | 62.2692 | + | 42.4544i | 2.22817 | + | 1.51914i | ||||
\(782\) | −4.02649 | + | 0.606895i | −0.143987 | + | 0.0217025i | ||||
\(783\) | 23.3999 | 0.836245 | ||||||||
\(784\) | −58.7253 | − | 96.2045i | −2.09733 | − | 3.43587i | ||||
\(785\) | 17.8318 | 0.636445 | ||||||||
\(786\) | 21.4069 | − | 3.22657i | 0.763558 | − | 0.115088i | ||||
\(787\) | −41.4578 | − | 28.2655i | −1.47781 | − | 1.00756i | −0.990973 | − | 0.134064i | \(-0.957197\pi\) |
−0.486840 | − | 0.873491i | \(-0.661851\pi\) | |||||||
\(788\) | 47.1161 | − | 14.5334i | 1.67844 | − | 0.517731i | ||||
\(789\) | −0.593643 | + | 7.92162i | −0.0211343 | + | 0.282017i | ||||
\(790\) | 27.5526 | + | 13.2686i | 0.980277 | + | 0.472077i | ||||
\(791\) | 0.192434 | + | 2.20569i | 0.00684217 | + | 0.0784253i | ||||
\(792\) | 134.451 | − | 64.7484i | 4.77752 | − | 2.30073i | ||||
\(793\) | −0.290171 | − | 0.739344i | −0.0103043 | − | 0.0262549i | ||||
\(794\) | −1.48542 | − | 19.8215i | −0.0527155 | − | 0.703440i | ||||
\(795\) | −0.112707 | + | 0.287172i | −0.00399729 | + | 0.0101849i | ||||
\(796\) | 77.7089 | + | 23.9700i | 2.75432 | + | 0.849595i | ||||
\(797\) | 3.68988 | + | 4.62697i | 0.130702 | + | 0.163896i | 0.842876 | − | 0.538108i | \(-0.180861\pi\) |
−0.712174 | + | 0.702003i | \(0.752289\pi\) | |||||||
\(798\) | 0.849295 | − | 3.94255i | 0.0300647 | − | 0.139565i | ||||
\(799\) | −24.3101 | + | 30.4838i | −0.860028 | + | 1.07844i | ||||
\(800\) | −28.9786 | + | 19.7573i | −1.02455 | + | 0.698526i | ||||
\(801\) | −4.30609 | + | 3.99547i | −0.152148 | + | 0.141173i | ||||
\(802\) | −29.1163 | − | 50.4309i | −1.02813 | − | 1.78078i | ||||
\(803\) | 40.4620 | − | 70.0822i | 1.42787 | − | 2.47315i | ||||
\(804\) | −9.56131 | − | 41.8908i | −0.337201 | − | 1.47738i | ||||
\(805\) | −0.148185 | + | 2.36500i | −0.00522282 | + | 0.0833553i | ||||
\(806\) | −4.62434 | + | 20.2606i | −0.162885 | + | 0.713648i | ||||
\(807\) | 9.74076 | + | 9.03811i | 0.342891 | + | 0.318156i | ||||
\(808\) | −27.0049 | − | 4.07033i | −0.950028 | − | 0.143194i | ||||
\(809\) | 1.09754 | + | 0.165427i | 0.0385873 | + | 0.00581610i | 0.168308 | − | 0.985735i | \(-0.446170\pi\) |
−0.129720 | + | 0.991551i | \(0.541408\pi\) | |||||||
\(810\) | 17.2048 | + | 15.9637i | 0.604514 | + | 0.560907i | ||||
\(811\) | −7.16599 | + | 31.3963i | −0.251632 | + | 1.10247i | 0.678313 | + | 0.734773i | \(0.262711\pi\) |
−0.929945 | + | 0.367699i | \(0.880146\pi\) | |||||||
\(812\) | −75.8034 | − | 22.3712i | −2.66018 | − | 0.785075i | ||||
\(813\) | 2.87382 | + | 12.5910i | 0.100789 | + | 0.441586i | ||||
\(814\) | −23.6784 | + | 41.0122i | −0.829928 | + | 1.43748i | ||||
\(815\) | 24.8398 | + | 43.0238i | 0.870101 | + | 1.50706i | ||||
\(816\) | −40.6467 | + | 37.7146i | −1.42292 | + | 1.32028i | ||||
\(817\) | −3.52894 | + | 2.40599i | −0.123462 | + | 0.0841751i | ||||
\(818\) | −14.5688 | + | 18.2687i | −0.509387 | + | 0.638751i | ||||
\(819\) | −1.44029 | − | 5.97282i | −0.0503279 | − | 0.208707i | ||||
\(820\) | 74.3728 | + | 93.2605i | 2.59721 | + | 3.25680i | ||||
\(821\) | 25.2335 | + | 7.78349i | 0.880654 | + | 0.271646i | 0.701923 | − | 0.712252i | \(-0.252325\pi\) |
0.178730 | + | 0.983898i | \(0.442801\pi\) | |||||||
\(822\) | 5.18659 | − | 13.2152i | 0.180903 | − | 0.460934i | ||||
\(823\) | −0.229821 | − | 3.06675i | −0.00801107 | − | 0.106900i | 0.991765 | − | 0.128073i | \(-0.0408791\pi\) |
−0.999776 | + | 0.0211725i | \(0.993260\pi\) | |||||||
\(824\) | 14.1977 | + | 36.1752i | 0.494601 | + | 1.26022i | ||||
\(825\) | 6.87226 | − | 3.30950i | 0.239261 | − | 0.115222i | ||||
\(826\) | −39.4882 | − | 26.2213i | −1.37397 | − | 0.912355i | ||||
\(827\) | 26.3185 | + | 12.6743i | 0.915183 | + | 0.440729i | 0.831349 | − | 0.555751i | \(-0.187569\pi\) |
0.0838341 | + | 0.996480i | \(0.473283\pi\) | |||||||
\(828\) | 0.342924 | − | 4.57601i | 0.0119174 | − | 0.159027i | ||||
\(829\) | −27.3355 | + | 8.43187i | −0.949400 | + | 0.292851i | −0.730513 | − | 0.682899i | \(-0.760719\pi\) |
−0.218887 | + | 0.975750i | \(0.570243\pi\) | |||||||
\(830\) | −79.1995 | − | 53.9973i | −2.74905 | − | 1.87427i | ||||
\(831\) | 21.7454 | − | 3.27758i | 0.754338 | − | 0.113698i | ||||
\(832\) | −35.4893 | −1.23037 | ||||||||
\(833\) | 18.8101 | + | 22.4390i | 0.651730 | + | 0.777466i | ||||
\(834\) | −3.17796 | −0.110044 | ||||||||
\(835\) | 8.86983 | − | 1.33691i | 0.306953 | − | 0.0462657i | ||||
\(836\) | −20.1512 | − | 13.7388i | −0.696943 | − | 0.475168i | ||||
\(837\) | −31.5758 | + | 9.73983i | −1.09142 | + | 0.336658i | ||||
\(838\) | 6.56109 | − | 87.5517i | 0.226649 | − | 3.02442i | ||||
\(839\) | 23.0822 | + | 11.1158i | 0.796887 | + | 0.383761i | 0.787593 | − | 0.616196i | \(-0.211327\pi\) |
0.00929451 | + | 0.999957i | \(0.497041\pi\) | |||||||
\(840\) | 27.9205 | + | 47.0227i | 0.963347 | + | 1.62244i | ||||
\(841\) | 0.432113 | − | 0.208095i | 0.0149005 | − | 0.00717568i | ||||
\(842\) | 9.38015 | + | 23.9002i | 0.323261 | + | 0.823656i | ||||
\(843\) | 0.720734 | + | 9.61753i | 0.0248234 | + | 0.331245i | ||||
\(844\) | 14.3308 | − | 36.5144i | 0.493288 | − | 1.25688i | ||||
\(845\) | 2.42267 | + | 0.747294i | 0.0833423 | + | 0.0257077i | ||||
\(846\) | −37.1912 | − | 46.6362i | −1.27866 | − | 1.60339i | ||||
\(847\) | 82.3018 | − | 1.00614i | 2.82792 | − | 0.0345712i | ||||
\(848\) | −1.48381 | + | 1.86064i | −0.0509542 | + | 0.0638946i | ||||
\(849\) | −16.5244 | + | 11.2661i | −0.567116 | + | 0.386653i | ||||
\(850\) | 12.0640 | − | 11.1938i | 0.413792 | − | 0.383943i | ||||
\(851\) | 0.467779 | + | 0.810217i | 0.0160353 | + | 0.0277739i | ||||
\(852\) | 26.7416 | − | 46.3178i | 0.916153 | − | 1.58682i | ||||
\(853\) | −0.00132122 | − | 0.00578862i | −4.52376e−5 | − | 0.000198199i | 0.974905 | − | 0.222620i | \(-0.0714609\pi\) |
−0.974951 | + | 0.222422i | \(0.928604\pi\) | |||||||
\(854\) | −4.74426 | + | 3.32025i | −0.162345 | + | 0.113617i | ||||
\(855\) | 0.880265 | − | 3.85669i | 0.0301044 | − | 0.131896i | ||||
\(856\) | 31.5869 | + | 29.3084i | 1.07962 | + | 1.00174i | ||||
\(857\) | 6.30374 | + | 0.950136i | 0.215332 | + | 0.0324560i | 0.255822 | − | 0.966724i | \(-0.417654\pi\) |
−0.0404904 | + | 0.999180i | \(0.512892\pi\) | |||||||
\(858\) | 14.5573 | + | 2.19416i | 0.496979 | + | 0.0749075i | ||||
\(859\) | 6.53794 | + | 6.06632i | 0.223072 | + | 0.206980i | 0.783789 | − | 0.621027i | \(-0.213284\pi\) |
−0.560718 | + | 0.828007i | \(0.689475\pi\) | |||||||
\(860\) | 20.0598 | − | 87.8878i | 0.684034 | − | 2.99695i | ||||
\(861\) | 15.0103 | − | 10.5049i | 0.511550 | − | 0.358007i | ||||
\(862\) | 17.7612 | + | 77.8167i | 0.604947 | + | 2.65045i | ||||
\(863\) | 14.7469 | − | 25.5424i | 0.501991 | − | 0.869474i | −0.498006 | − | 0.867173i | \(-0.665934\pi\) |
0.999997 | − | 0.00230048i | \(-0.000732265\pi\) | |||||||
\(864\) | −53.8175 | − | 93.2146i | −1.83091 | − | 3.17123i | ||||
\(865\) | 22.4191 | − | 20.8019i | 0.762274 | − | 0.707287i | ||||
\(866\) | 28.7250 | − | 19.5843i | 0.976114 | − | 0.665503i | ||||
\(867\) | 0.254847 | − | 0.319568i | 0.00865505 | − | 0.0108531i | ||||
\(868\) | 111.600 | − | 1.36431i | 3.78796 | − | 0.0463077i | ||||
\(869\) | −17.7099 | − | 22.2075i | −0.600768 | − | 0.753339i | ||||
\(870\) | 29.3522 | + | 9.05396i | 0.995133 | + | 0.306958i | ||||
\(871\) | −3.40883 | + | 8.68555i | −0.115504 | + | 0.294299i | ||||
\(872\) | 5.44232 | + | 72.6227i | 0.184300 | + | 2.45932i | ||||
\(873\) | 4.49906 | + | 11.4634i | 0.152270 | + | 0.387978i | ||||
\(874\) | −0.589315 | + | 0.283799i | −0.0199339 | + | 0.00959965i | ||||
\(875\) | 12.2337 | + | 20.6035i | 0.413573 | + | 0.696526i | ||||
\(876\) | −51.7412 | − | 24.9173i | −1.74817 | − | 0.841876i | ||||
\(877\) | 1.49793 | − | 19.9885i | 0.0505816 | − | 0.674965i | −0.913070 | − | 0.407803i | \(-0.866295\pi\) |
0.963652 | − | 0.267162i | \(-0.0860859\pi\) | |||||||
\(878\) | 52.8843 | − | 16.3127i | 1.78476 | − | 0.550525i | ||||
\(879\) | −20.3159 | − | 13.8511i | −0.685238 | − | 0.467187i | ||||
\(880\) | 261.947 | − | 39.4821i | 8.83023 | − | 1.33094i | ||||
\(881\) | 15.1843 | 0.511571 | 0.255786 | − | 0.966734i | \(-0.417666\pi\) | ||||
0.255786 | + | 0.966734i | \(0.417666\pi\) | |||||||
\(882\) | −39.8715 | + | 20.4165i | −1.34254 | + | 0.687460i | ||||
\(883\) | −37.6084 | −1.26562 | −0.632812 | − | 0.774305i | \(-0.718099\pi\) | ||||
−0.632812 | + | 0.774305i | \(0.718099\pi\) | |||||||
\(884\) | 23.1363 | − | 3.48723i | 0.778157 | − | 0.117288i | ||||
\(885\) | 11.2123 | + | 7.64440i | 0.376896 | + | 0.256964i | ||||
\(886\) | −93.7198 | + | 28.9087i | −3.14858 | + | 0.971208i | ||||
\(887\) | 0.720269 | − | 9.61132i | 0.0241843 | − | 0.322716i | −0.971970 | − | 0.235104i | \(-0.924457\pi\) |
0.996155 | − | 0.0876130i | \(-0.0279239\pi\) | |||||||
\(888\) | 19.4529 | + | 9.36800i | 0.652795 | + | 0.314370i | ||||
\(889\) | 10.8723 | + | 7.21952i | 0.364645 | + | 0.242135i | ||||
\(890\) | −15.9225 | + | 7.66785i | −0.533722 | + | 0.257027i | ||||
\(891\) | −7.96429 | − | 20.2927i | −0.266814 | − | 0.679830i | ||||
\(892\) | 10.2194 | + | 136.369i | 0.342172 | + | 4.56597i | ||||
\(893\) | −2.28817 | + | 5.83017i | −0.0765708 | + | 0.195099i | ||||
\(894\) | −9.63698 | − | 2.97262i | −0.322309 | − | 0.0994191i | ||||
\(895\) | −30.0618 | − | 37.6963i | −1.00485 | − | 1.26005i | ||||
\(896\) | 30.1841 | + | 125.172i | 1.00838 | + | 4.18170i | ||||
\(897\) | 0.181333 | − | 0.227384i | 0.00605453 | − | 0.00759214i | ||||
\(898\) | 2.16814 | − | 1.47821i | 0.0723518 | − | 0.0493286i | ||||
\(899\) | 29.5234 | − | 27.3937i | 0.984659 | − | 0.913630i | ||||
\(900\) | 9.27311 | + | 16.0615i | 0.309104 | + | 0.535383i | ||||
\(901\) | 0.309117 | − | 0.535406i | 0.0102982 | − | 0.0178370i | ||||
\(902\) | −33.4692 | − | 146.638i | −1.11440 | − | 4.88251i | ||||
\(903\) | −13.2797 | − | 3.91913i | −0.441922 | − | 0.130420i | ||||
\(904\) | 1.84406 | − | 8.07935i | 0.0613325 | − | 0.268715i | ||||
\(905\) | 6.61142 | + | 6.13450i | 0.219771 | + | 0.203918i | ||||
\(906\) | −17.6463 | − | 2.65974i | −0.586258 | − | 0.0883641i | ||||
\(907\) | 39.2677 | + | 5.91865i | 1.30386 | + | 0.196525i | 0.763993 | − | 0.645224i | \(-0.223236\pi\) |
0.539868 | + | 0.841750i | \(0.318474\pi\) | |||||||
\(908\) | 64.3288 | + | 59.6884i | 2.13483 | + | 1.98083i | ||||
\(909\) | −1.42506 | + | 6.24358i | −0.0472662 | + | 0.207087i | ||||
\(910\) | 1.15591 | − | 18.4482i | 0.0383181 | − | 0.611551i | ||||
\(911\) | 11.3763 | + | 49.8427i | 0.376912 | + | 1.65136i | 0.706854 | + | 0.707360i | \(0.250114\pi\) |
−0.329941 | + | 0.944001i | \(0.607029\pi\) | |||||||
\(912\) | −4.45343 | + | 7.71357i | −0.147468 | + | 0.255422i | ||||
\(913\) | 44.5165 | + | 77.1049i | 1.47328 | + | 2.55180i | ||||
\(914\) | 33.7938 | − | 31.3560i | 1.11780 | − | 1.03717i | ||||
\(915\) | 1.36973 | − | 0.933866i | 0.0452819 | − | 0.0308727i | ||||
\(916\) | 6.64988 | − | 8.33868i | 0.219718 | − | 0.275518i | ||||
\(917\) | −5.31670 | + | 24.6809i | −0.175573 | + | 0.815036i | ||||
\(918\) | 31.4896 | + | 39.4867i | 1.03931 | + | 1.30326i | ||||
\(919\) | 16.4100 | + | 5.06183i | 0.541317 | + | 0.166974i | 0.553343 | − | 0.832953i | \(-0.313352\pi\) |
−0.0120258 | + | 0.999928i | \(0.503828\pi\) | |||||||
\(920\) | 3.24036 | − | 8.25631i | 0.106832 | − | 0.272203i | ||||
\(921\) | 1.18785 | + | 15.8508i | 0.0391411 | + | 0.522302i | ||||
\(922\) | 9.27515 | + | 23.6327i | 0.305461 | + | 0.778301i | ||||
\(923\) | −10.4638 | + | 5.03908i | −0.344419 | + | 0.165863i | ||||
\(924\) | −6.87180 | − | 78.7648i | −0.226065 | − | 2.59117i | ||||
\(925\) | −3.40669 | − | 1.64058i | −0.112011 | − | 0.0539418i | ||||
\(926\) | −5.00673 | + | 66.8102i | −0.164531 | + | 2.19552i | ||||
\(927\) | 8.70814 | − | 2.68611i | 0.286013 | − | 0.0882233i | ||||
\(928\) | 108.393 | + | 73.9009i | 3.55816 | + | 2.42591i | ||||
\(929\) | 15.3667 | − | 2.31616i | 0.504166 | − | 0.0759908i | 0.107965 | − | 0.994155i | \(-0.465567\pi\) |
0.396201 | + | 0.918164i | \(0.370328\pi\) | |||||||
\(930\) | −43.3763 | −1.42237 | ||||||||
\(931\) | 3.94970 | + | 2.55370i | 0.129446 | + | 0.0836941i | ||||
\(932\) | 11.3740 | 0.372569 | ||||||||
\(933\) | 20.9813 | − | 3.16242i | 0.686896 | − | 0.103533i | ||||
\(934\) | −34.8840 | − | 23.7835i | −1.14144 | − | 0.778219i | ||||
\(935\) | −65.7596 | + | 20.2841i | −2.15057 | + | 0.663362i | ||||
\(936\) | −1.71855 | + | 22.9324i | −0.0561725 | + | 0.749569i | ||||
\(937\) | −30.5994 | − | 14.7359i | −0.999639 | − | 0.481401i | −0.138823 | − | 0.990317i | \(-0.544332\pi\) |
−0.860816 | + | 0.508916i | \(0.830046\pi\) | |||||||
\(938\) | 67.3861 | + | 9.31586i | 2.20023 | + | 0.304174i | ||||
\(939\) | 13.9729 | − | 6.72901i | 0.455989 | − | 0.219593i | ||||
\(940\) | −48.2954 | − | 123.055i | −1.57522 | − | 4.01360i | ||||
\(941\) | −3.80001 | − | 50.7076i | −0.123877 | − | 1.65302i | −0.619877 | − | 0.784699i | \(-0.712818\pi\) |
0.496000 | − | 0.868322i | \(-0.334801\pi\) | |||||||
\(942\) | −5.82953 | + | 14.8534i | −0.189936 | + | 0.483950i | ||||
\(943\) | −2.83940 | − | 0.875838i | −0.0924635 | − | 0.0285212i | ||||
\(944\) | 65.2703 | + | 81.8463i | 2.12437 | + | 2.66387i | ||||
\(945\) | 26.3226 | − | 13.0751i | 0.856274 | − | 0.425332i | ||||
\(946\) | −70.8720 | + | 88.8707i | −2.30425 | + | 2.88944i | ||||
\(947\) | −12.1596 | + | 8.29030i | −0.395135 | + | 0.269399i | −0.744546 | − | 0.667571i | \(-0.767334\pi\) |
0.349411 | + | 0.936970i | \(0.386382\pi\) | |||||||
\(948\) | −14.7765 | + | 13.7106i | −0.479919 | + | 0.445299i | ||||
\(949\) | 6.23530 | + | 10.7998i | 0.202406 | + | 0.350578i | ||||
\(950\) | 1.32178 | − | 2.28940i | 0.0428843 | − | 0.0742778i | ||||
\(951\) | −5.56516 | − | 24.3826i | −0.180463 | − | 0.790659i | ||||
\(952\) | −41.2833 | − | 101.521i | −1.33800 | − | 3.29032i | ||||
\(953\) | −2.50833 | + | 10.9897i | −0.0812529 | + | 0.355992i | −0.999168 | − | 0.0407847i | \(-0.987014\pi\) |
0.917915 | + | 0.396777i | \(0.129871\pi\) | |||||||
\(954\) | 0.693332 | + | 0.643318i | 0.0224475 | + | 0.0208282i | ||||
\(955\) | −35.8639 | − | 5.40561i | −1.16053 | − | 0.174922i | ||||
\(956\) | 22.1045 | + | 3.33171i | 0.714909 | + | 0.107755i | ||||
\(957\) | −20.9144 | − | 19.4058i | −0.676068 | − | 0.627299i | ||||
\(958\) | −15.3367 | + | 67.1947i | −0.495508 | + | 2.17096i | ||||
\(959\) | 12.2734 | + | 11.1119i | 0.396328 | + | 0.358823i | ||||
\(960\) | −16.4832 | − | 72.2178i | −0.531994 | − | 2.33082i | ||||
\(961\) | −12.9365 | + | 22.4067i | −0.417307 | + | 0.722798i | ||||
\(962\) | −3.64891 | − | 6.32009i | −0.117646 | − | 0.203768i | ||||
\(963\) | 7.40711 | − | 6.87279i | 0.238691 | − | 0.221473i | ||||
\(964\) | −7.11852 | + | 4.85332i | −0.229272 | + | 0.156315i | ||||
\(965\) | −2.41858 | + | 3.03281i | −0.0778569 | + | 0.0976295i | ||||
\(966\) | −1.92154 | − | 0.896593i | −0.0618244 | − | 0.0288474i | ||||
\(967\) | −12.4785 | − | 15.6476i | −0.401283 | − | 0.503193i | 0.539602 | − | 0.841921i | \(-0.318575\pi\) |
−0.940884 | + | 0.338728i | \(0.890003\pi\) | |||||||
\(968\) | −294.387 | − | 90.8063i | −9.46195 | − | 2.91863i | ||||
\(969\) | 0.845331 | − | 2.15387i | 0.0271559 | − | 0.0691922i | ||||
\(970\) | 2.76867 | + | 36.9453i | 0.0888966 | + | 1.18624i | ||||
\(971\) | −12.9225 | − | 32.9261i | −0.414704 | − | 1.05665i | −0.973772 | − | 0.227527i | \(-0.926936\pi\) |
0.559068 | − | 0.829122i | \(-0.311159\pi\) | |||||||
\(972\) | −80.1849 | + | 38.6150i | −2.57193 | + | 1.23858i | ||||
\(973\) | 1.31175 | − | 3.46629i | 0.0420528 | − | 0.111124i | ||||
\(974\) | 25.5753 | + | 12.3164i | 0.819485 | + | 0.394643i | ||||
\(975\) | −0.0878406 | + | 1.17215i | −0.00281315 | + | 0.0375389i | ||||
\(976\) | 12.2206 | − | 3.76954i | 0.391170 | − | 0.120660i | ||||
\(977\) | −45.4500 | − | 30.9873i | −1.45407 | − | 0.991371i | −0.994666 | − | 0.103145i | \(-0.967109\pi\) |
−0.459408 | − | 0.888226i | \(-0.651938\pi\) | |||||||
\(978\) | −43.9582 | + | 6.62563i | −1.40563 | + | 0.211864i | ||||
\(979\) | 16.4148 | 0.524618 | ||||||||
\(980\) | −97.7715 | + | 17.1909i | −3.12320 | + | 0.549143i | ||||
\(981\) | 17.0777 | 0.545250 | ||||||||
\(982\) | 48.1587 | − | 7.25876i | 1.53681 | − | 0.231636i | ||||
\(983\) | 25.9821 | + | 17.7143i | 0.828700 | + | 0.564998i | 0.901714 | − | 0.432333i | \(-0.142309\pi\) |
−0.0730139 | + | 0.997331i | \(0.523262\pi\) | |||||||
\(984\) | −65.5283 | + | 20.2128i | −2.08897 | + | 0.644361i | ||||
\(985\) | 1.67007 | − | 22.2856i | 0.0532129 | − | 0.710077i | ||||
\(986\) | −55.4611 | − | 26.7087i | −1.76624 | − | 0.850577i | ||||
\(987\) | −19.3270 | + | 6.22133i | −0.615186 | + | 0.198027i | ||||
\(988\) | 3.38622 | − | 1.63072i | 0.107730 | − | 0.0518800i | ||||
\(989\) | 0.820412 | + | 2.09038i | 0.0260876 | + | 0.0664701i | ||||
\(990\) | −7.86764 | − | 104.986i | −0.250050 | − | 3.33669i | ||||
\(991\) | 6.39207 | − | 16.2867i | 0.203051 | − | 0.517365i | −0.792683 | − | 0.609634i | \(-0.791317\pi\) |
0.995734 | + | 0.0922684i | \(0.0294118\pi\) | |||||||
\(992\) | −177.025 | − | 54.6049i | −5.62054 | − | 1.73371i | ||||
\(993\) | 11.0249 | + | 13.8248i | 0.349865 | + | 0.438716i | ||||
\(994\) | 53.5990 | + | 65.5509i | 1.70006 | + | 2.07915i | ||||
\(995\) | 22.9811 | − | 28.8174i | 0.728549 | − | 0.913572i | ||||
\(996\) | 52.2043 | − | 35.5923i | 1.65416 | − | 1.12779i | ||||
\(997\) | −4.01623 | + | 3.72651i | −0.127195 | + | 0.118020i | −0.741206 | − | 0.671278i | \(-0.765746\pi\) |
0.614011 | + | 0.789298i | \(0.289555\pi\) | |||||||
\(998\) | −18.8407 | − | 32.6330i | −0.596391 | − | 1.03298i | ||||
\(999\) | 5.80195 | − | 10.0493i | 0.183566 | − | 0.317945i |
(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 | 637.2.bl.a.534.27 | yes | 324 | |
49.39 | even | 21 | inner | 637.2.bl.a.235.27 | ✓ | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.235.27 | ✓ | 324 | 49.39 | even | 21 | inner | |
637.2.bl.a.534.27 | yes | 324 | 1.1 | even | 1 | trivial |