Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.b.691.11 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | −0.358798 | − | 0.398486i | −0.207152 | − | 0.230066i | 0.630612 | − | 0.776099i | \(-0.282804\pi\) |
−0.837764 | + | 0.546033i | \(0.816137\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −0.0794850 | + | 2.23465i | −0.0355468 | + | 0.999368i | ||||
\(6\) | −0.358798 | + | 0.398486i | −0.146479 | + | 0.162681i | ||||
\(7\) | −0.651916 | −0.246401 | −0.123201 | − | 0.992382i | \(-0.539316\pi\) | ||||
−0.123201 | + | 0.992382i | \(0.539316\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.283531 | − | 2.69761i | 0.0945102 | − | 0.899205i | ||||
\(10\) | 2.23072 | − | 0.154535i | 0.705416 | − | 0.0488684i | ||||
\(11\) | −2.95597 | + | 2.14764i | −0.891258 | + | 0.647537i | −0.936206 | − | 0.351452i | \(-0.885688\pi\) |
0.0449474 | + | 0.998989i | \(0.485688\pi\) | |||||||
\(12\) | 0.433807 | + | 0.315179i | 0.125229 | + | 0.0909845i | ||||
\(13\) | 0.208158 | − | 1.98049i | 0.0577327 | − | 0.549290i | −0.926981 | − | 0.375109i | \(-0.877605\pi\) |
0.984714 | − | 0.174181i | \(-0.0557279\pi\) | |||||||
\(14\) | 0.0681438 | + | 0.648345i | 0.0182122 | + | 0.173278i | ||||
\(15\) | 0.918997 | − | 0.770116i | 0.237284 | − | 0.198843i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 1.01302 | + | 0.215325i | 0.245694 | + | 0.0522240i | 0.329113 | − | 0.944291i | \(-0.393250\pi\) |
−0.0834182 | + | 0.996515i | \(0.526584\pi\) | |||||||
\(18\) | −2.71247 | −0.639336 | ||||||||
\(19\) | 3.19021 | − | 2.97028i | 0.731885 | − | 0.681428i | ||||
\(20\) | −0.386863 | − | 2.20235i | −0.0865051 | − | 0.492460i | ||||
\(21\) | 0.233906 | + | 0.259779i | 0.0510426 | + | 0.0566885i | ||||
\(22\) | 2.44486 | + | 2.71529i | 0.521245 | + | 0.578901i | ||||
\(23\) | −2.63105 | − | 1.17142i | −0.548612 | − | 0.244258i | 0.113662 | − | 0.993519i | \(-0.463742\pi\) |
−0.662274 | + | 0.749262i | \(0.730409\pi\) | |||||||
\(24\) | 0.268108 | − | 0.464376i | 0.0547273 | − | 0.0947904i | ||||
\(25\) | −4.98736 | − | 0.355243i | −0.997473 | − | 0.0710486i | ||||
\(26\) | −1.99140 | −0.390546 | ||||||||
\(27\) | −2.47811 | + | 1.80045i | −0.476913 | + | 0.346498i | ||||
\(28\) | 0.637670 | − | 0.135541i | 0.120508 | − | 0.0256148i | ||||
\(29\) | −7.31816 | + | 1.55552i | −1.35895 | + | 0.288853i | −0.829034 | − | 0.559198i | \(-0.811109\pi\) |
−0.529914 | + | 0.848052i | \(0.677776\pi\) | |||||||
\(30\) | −0.861959 | − | 0.833464i | −0.157371 | − | 0.152169i | ||||
\(31\) | −2.76192 | − | 8.50033i | −0.496056 | − | 1.52670i | −0.815304 | − | 0.579033i | \(-0.803430\pi\) |
0.319248 | − | 0.947671i | \(-0.396570\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 1.91640 | + | 0.407343i | 0.333602 | + | 0.0709094i | ||||
\(34\) | 0.108255 | − | 1.02998i | 0.0185657 | − | 0.176640i | ||||
\(35\) | 0.0518176 | − | 1.45681i | 0.00875877 | − | 0.246246i | ||||
\(36\) | 0.283531 | + | 2.69761i | 0.0472551 | + | 0.449602i | ||||
\(37\) | −2.60886 | − | 1.89545i | −0.428893 | − | 0.311609i | 0.352313 | − | 0.935882i | \(-0.385395\pi\) |
−0.781206 | + | 0.624273i | \(0.785395\pi\) | |||||||
\(38\) | −3.28747 | − | 2.86226i | −0.533298 | − | 0.464320i | ||||
\(39\) | −0.863885 | + | 0.627649i | −0.138332 | + | 0.100504i | ||||
\(40\) | −2.14985 | + | 0.614952i | −0.339920 | + | 0.0972324i | ||||
\(41\) | −4.30639 | + | 1.91733i | −0.672545 | + | 0.299436i | −0.714451 | − | 0.699685i | \(-0.753324\pi\) |
0.0419062 | + | 0.999122i | \(0.486657\pi\) | |||||||
\(42\) | 0.233906 | − | 0.259779i | 0.0360925 | − | 0.0400848i | ||||
\(43\) | 4.22103 | − | 7.31103i | 0.643701 | − | 1.11492i | −0.340899 | − | 0.940100i | \(-0.610731\pi\) |
0.984600 | − | 0.174823i | \(-0.0559352\pi\) | |||||||
\(44\) | 2.44486 | − | 2.71529i | 0.368576 | − | 0.409345i | ||||
\(45\) | 6.00570 | + | 0.848013i | 0.895277 | + | 0.126414i | ||||
\(46\) | −0.889983 | + | 2.73909i | −0.131221 | + | 0.403856i | ||||
\(47\) | −7.60186 | + | 1.61582i | −1.10885 | + | 0.235692i | −0.725710 | − | 0.688000i | \(-0.758489\pi\) |
−0.383135 | + | 0.923693i | \(0.625155\pi\) | |||||||
\(48\) | −0.489857 | − | 0.218098i | −0.0707048 | − | 0.0314798i | ||||
\(49\) | −6.57500 | −0.939286 | ||||||||
\(50\) | 0.168024 | + | 4.99718i | 0.0237622 | + | 0.706707i | ||||
\(51\) | −0.277667 | − | 0.480934i | −0.0388812 | − | 0.0673442i | ||||
\(52\) | 0.208158 | + | 1.98049i | 0.0288663 | + | 0.274645i | ||||
\(53\) | 10.9755 | − | 2.33290i | 1.50759 | − | 0.320449i | 0.621300 | − | 0.783572i | \(-0.286605\pi\) |
0.886294 | + | 0.463123i | \(0.153271\pi\) | |||||||
\(54\) | 2.04962 | + | 2.27634i | 0.278919 | + | 0.309770i | ||||
\(55\) | −4.56427 | − | 6.77628i | −0.615447 | − | 0.913713i | ||||
\(56\) | −0.201453 | − | 0.620009i | −0.0269203 | − | 0.0828522i | ||||
\(57\) | −2.32825 | − | 0.205525i | −0.308385 | − | 0.0272225i | ||||
\(58\) | 2.31196 | + | 7.11547i | 0.303575 | + | 0.934307i | ||||
\(59\) | 0.266862 | − | 0.118815i | 0.0347425 | − | 0.0154684i | −0.389292 | − | 0.921114i | \(-0.627280\pi\) |
0.424034 | + | 0.905646i | \(0.360614\pi\) | |||||||
\(60\) | −0.738799 | + | 0.944358i | −0.0953785 | + | 0.121916i | ||||
\(61\) | −8.28921 | − | 3.69059i | −1.06132 | − | 0.472532i | −0.199583 | − | 0.979881i | \(-0.563959\pi\) |
−0.861741 | + | 0.507349i | \(0.830626\pi\) | |||||||
\(62\) | −8.16506 | + | 3.63532i | −1.03696 | + | 0.461686i | ||||
\(63\) | −0.184838 | + | 1.75862i | −0.0232874 | + | 0.221565i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 4.40917 | + | 0.622581i | 0.546891 | + | 0.0772217i | ||||
\(66\) | 0.204793 | − | 1.94848i | 0.0252083 | − | 0.239841i | ||||
\(67\) | −1.32222 | + | 1.46848i | −0.161535 | + | 0.179403i | −0.818479 | − | 0.574537i | \(-0.805182\pi\) |
0.656944 | + | 0.753940i | \(0.271849\pi\) | |||||||
\(68\) | −1.03566 | −0.125592 | ||||||||
\(69\) | 0.477223 | + | 1.46874i | 0.0574508 | + | 0.176816i | ||||
\(70\) | −1.45424 | + | 0.100744i | −0.173815 | + | 0.0120412i | ||||
\(71\) | −6.08548 | − | 6.75862i | −0.722214 | − | 0.802100i | 0.264531 | − | 0.964377i | \(-0.414783\pi\) |
−0.986745 | + | 0.162277i | \(0.948116\pi\) | |||||||
\(72\) | 2.65320 | − | 0.563955i | 0.312683 | − | 0.0664627i | ||||
\(73\) | 1.34502 | + | 12.7970i | 0.157423 | + | 1.49778i | 0.733110 | + | 0.680110i | \(0.238068\pi\) |
−0.575687 | + | 0.817670i | \(0.695265\pi\) | |||||||
\(74\) | −1.61236 | + | 2.79269i | −0.187433 | + | 0.324644i | ||||
\(75\) | 1.64790 | + | 2.11485i | 0.190283 | + | 0.244202i | ||||
\(76\) | −2.50295 | + | 3.56865i | −0.287107 | + | 0.409352i | ||||
\(77\) | 1.92705 | − | 1.40008i | 0.219607 | − | 0.159554i | ||||
\(78\) | 0.714511 | + | 0.793545i | 0.0809025 | + | 0.0898513i | ||||
\(79\) | −0.476523 | − | 0.529233i | −0.0536131 | − | 0.0595433i | 0.715742 | − | 0.698365i | \(-0.246089\pi\) |
−0.769355 | + | 0.638822i | \(0.779422\pi\) | |||||||
\(80\) | 0.836303 | + | 2.07379i | 0.0935015 | + | 0.231857i | ||||
\(81\) | −6.35300 | − | 1.35037i | −0.705889 | − | 0.150041i | ||||
\(82\) | 2.35697 | + | 4.08238i | 0.260283 | + | 0.450824i | ||||
\(83\) | −4.74689 | − | 14.6094i | −0.521039 | − | 1.60359i | −0.772018 | − | 0.635601i | \(-0.780752\pi\) |
0.250979 | − | 0.967993i | \(-0.419248\pi\) | |||||||
\(84\) | −0.282806 | − | 0.205471i | −0.0308567 | − | 0.0224187i | ||||
\(85\) | −0.561697 | + | 2.24664i | −0.0609246 | + | 0.243683i | ||||
\(86\) | −7.71220 | − | 3.43369i | −0.831628 | − | 0.370265i | ||||
\(87\) | 3.24559 | + | 2.35806i | 0.347964 | + | 0.252811i | ||||
\(88\) | −2.95597 | − | 2.14764i | −0.315107 | − | 0.228939i | ||||
\(89\) | 6.70264 | + | 2.98421i | 0.710478 | + | 0.316325i | 0.729965 | − | 0.683485i | \(-0.239537\pi\) |
−0.0194866 | + | 0.999810i | \(0.506203\pi\) | |||||||
\(90\) | 0.215601 | − | 6.06144i | 0.0227263 | − | 0.638932i | ||||
\(91\) | −0.135702 | + | 1.29112i | −0.0142254 | + | 0.135346i | ||||
\(92\) | 2.81711 | + | 0.598795i | 0.293704 | + | 0.0624287i | ||||
\(93\) | −2.39629 | + | 4.15049i | −0.248483 | + | 0.430386i | ||||
\(94\) | 2.40158 | + | 7.39131i | 0.247704 | + | 0.762356i | ||||
\(95\) | 6.38397 | + | 7.36512i | 0.654981 | + | 0.755645i | ||||
\(96\) | −0.165700 | + | 0.509971i | −0.0169117 | + | 0.0520487i | ||||
\(97\) | 1.81725 | + | 2.01826i | 0.184514 | + | 0.204924i | 0.828304 | − | 0.560278i | \(-0.189306\pi\) |
−0.643790 | + | 0.765202i | \(0.722639\pi\) | |||||||
\(98\) | 0.687275 | + | 6.53899i | 0.0694253 | + | 0.660537i | ||||
\(99\) | 4.95539 | + | 8.58299i | 0.498035 | + | 0.862623i | ||||
\(100\) | 4.95224 | − | 0.689451i | 0.495224 | − | 0.0689451i | ||||
\(101\) | 3.08509 | + | 5.34354i | 0.306978 | + | 0.531702i | 0.977700 | − | 0.210007i | \(-0.0673488\pi\) |
−0.670722 | + | 0.741709i | \(0.734015\pi\) | |||||||
\(102\) | −0.449275 | + | 0.326417i | −0.0444849 | + | 0.0323201i | ||||
\(103\) | −3.79522 | + | 11.6805i | −0.373954 | + | 1.15091i | 0.570227 | + | 0.821487i | \(0.306855\pi\) |
−0.944181 | + | 0.329426i | \(0.893145\pi\) | |||||||
\(104\) | 1.94789 | − | 0.414036i | 0.191006 | − | 0.0405995i | ||||
\(105\) | −0.599109 | + | 0.502051i | −0.0584671 | + | 0.0489952i | ||||
\(106\) | −3.46737 | − | 10.6715i | −0.336781 | − | 1.03650i | ||||
\(107\) | −12.2420 | −1.18347 | −0.591737 | − | 0.806131i | \(-0.701558\pi\) | ||||
−0.591737 | + | 0.806131i | \(0.701558\pi\) | |||||||
\(108\) | 2.04962 | − | 2.27634i | 0.197225 | − | 0.219041i | ||||
\(109\) | 18.7088 | − | 8.32969i | 1.79198 | − | 0.797839i | 0.816629 | − | 0.577162i | \(-0.195840\pi\) |
0.975347 | − | 0.220677i | \(-0.0708266\pi\) | |||||||
\(110\) | −6.26206 | + | 5.24758i | −0.597064 | + | 0.500337i | ||||
\(111\) | 0.180745 | + | 1.71967i | 0.0171556 | + | 0.163224i | ||||
\(112\) | −0.595555 | + | 0.265158i | −0.0562747 | + | 0.0250551i | ||||
\(113\) | 14.3823 | + | 10.4493i | 1.35297 | + | 0.982990i | 0.998858 | + | 0.0477866i | \(0.0152167\pi\) |
0.354112 | + | 0.935203i | \(0.384783\pi\) | |||||||
\(114\) | 0.0389694 | + | 2.33698i | 0.00364982 | + | 0.218879i | ||||
\(115\) | 2.82685 | − | 5.78638i | 0.263605 | − | 0.539583i | ||||
\(116\) | 6.83483 | − | 3.04306i | 0.634598 | − | 0.282541i | ||||
\(117\) | −5.28359 | − | 1.12306i | −0.488468 | − | 0.103827i | ||||
\(118\) | −0.146059 | − | 0.252981i | −0.0134458 | − | 0.0232888i | ||||
\(119\) | −0.660407 | − | 0.140374i | −0.0605394 | − | 0.0128680i | ||||
\(120\) | 1.01641 | + | 0.636039i | 0.0927851 | + | 0.0580622i | ||||
\(121\) | 0.726222 | − | 2.23508i | 0.0660202 | − | 0.203189i | ||||
\(122\) | −2.80392 | + | 8.62957i | −0.253855 | + | 0.781285i | ||||
\(123\) | 2.30915 | + | 1.02810i | 0.208209 | + | 0.0927007i | ||||
\(124\) | 4.46889 | + | 7.74034i | 0.401318 | + | 0.695103i | ||||
\(125\) | 1.19027 | − | 11.1168i | 0.106461 | − | 0.994317i | ||||
\(126\) | 1.76831 | 0.157533 | ||||||||
\(127\) | 19.5633 | + | 8.71015i | 1.73596 | + | 0.772901i | 0.994831 | + | 0.101543i | \(0.0323778\pi\) |
0.741133 | + | 0.671358i | \(0.234289\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −4.42784 | + | 0.941166i | −0.389850 | + | 0.0828651i | ||||
\(130\) | 0.158287 | − | 4.45010i | 0.0138827 | − | 0.390299i | ||||
\(131\) | −15.8968 | − | 3.37896i | −1.38891 | − | 0.295222i | −0.548036 | − | 0.836455i | \(-0.684624\pi\) |
−0.840872 | + | 0.541233i | \(0.817958\pi\) | |||||||
\(132\) | −1.95921 | −0.170528 | ||||||||
\(133\) | −2.07975 | + | 1.93637i | −0.180337 | + | 0.167905i | ||||
\(134\) | 1.59864 | + | 1.16148i | 0.138102 | + | 0.100337i | ||||
\(135\) | −3.82642 | − | 5.68084i | −0.329326 | − | 0.488929i | ||||
\(136\) | 0.108255 | + | 1.02998i | 0.00928283 | + | 0.0883202i | ||||
\(137\) | −1.21372 | + | 11.5477i | −0.103695 | + | 0.986590i | 0.811712 | + | 0.584058i | \(0.198536\pi\) |
−0.915406 | + | 0.402531i | \(0.868131\pi\) | |||||||
\(138\) | 1.41081 | − | 0.628133i | 0.120096 | − | 0.0534703i | ||||
\(139\) | −17.6978 | − | 7.87955i | −1.50110 | − | 0.668335i | −0.518676 | − | 0.854971i | \(-0.673575\pi\) |
−0.982429 | + | 0.186636i | \(0.940241\pi\) | |||||||
\(140\) | 0.252202 | + | 1.43575i | 0.0213150 | + | 0.121343i | ||||
\(141\) | 3.37142 | + | 2.44948i | 0.283924 | + | 0.206283i | ||||
\(142\) | −6.08548 | + | 6.75862i | −0.510683 | + | 0.567170i | ||||
\(143\) | 3.63807 | + | 6.30133i | 0.304231 | + | 0.526943i | ||||
\(144\) | −0.838200 | − | 2.57972i | −0.0698500 | − | 0.214976i | ||||
\(145\) | −2.89437 | − | 16.4772i | −0.240364 | − | 1.36836i | ||||
\(146\) | 12.5863 | − | 2.67531i | 1.04165 | − | 0.221410i | ||||
\(147\) | 2.35910 | + | 2.62005i | 0.194575 | + | 0.216098i | ||||
\(148\) | 2.94593 | + | 1.31161i | 0.242154 | + | 0.107814i | ||||
\(149\) | 10.5078 | − | 18.2000i | 0.860830 | − | 1.49100i | −0.0102987 | − | 0.999947i | \(-0.503278\pi\) |
0.871129 | − | 0.491055i | \(-0.163388\pi\) | |||||||
\(150\) | 1.93102 | − | 1.85993i | 0.157667 | − | 0.151863i | ||||
\(151\) | −20.2508 | −1.64799 | −0.823993 | − | 0.566600i | \(-0.808259\pi\) | ||||
−0.823993 | + | 0.566600i | \(0.808259\pi\) | |||||||
\(152\) | 3.81073 | + | 2.11621i | 0.309091 | + | 0.171647i | ||||
\(153\) | 0.868087 | − | 2.67170i | 0.0701807 | − | 0.215994i | ||||
\(154\) | −1.59384 | − | 1.77014i | −0.128435 | − | 0.142642i | ||||
\(155\) | 19.2148 | − | 5.49630i | 1.54337 | − | 0.441473i | ||||
\(156\) | 0.714511 | − | 0.793545i | 0.0572067 | − | 0.0635345i | ||||
\(157\) | 11.7172 | − | 20.2947i | 0.935133 | − | 1.61970i | 0.160735 | − | 0.986998i | \(-0.448614\pi\) |
0.774397 | − | 0.632700i | \(-0.218053\pi\) | |||||||
\(158\) | −0.476523 | + | 0.529233i | −0.0379102 | + | 0.0421035i | ||||
\(159\) | −4.86760 | − | 3.53652i | −0.386026 | − | 0.280464i | ||||
\(160\) | 1.97501 | − | 1.04849i | 0.156138 | − | 0.0828905i | ||||
\(161\) | 1.71523 | + | 0.763668i | 0.135179 | + | 0.0601855i | ||||
\(162\) | −0.678905 | + | 6.45935i | −0.0533398 | + | 0.507494i | ||||
\(163\) | 0.565960 | + | 0.411194i | 0.0443294 | + | 0.0322072i | 0.609729 | − | 0.792610i | \(-0.291278\pi\) |
−0.565400 | + | 0.824817i | \(0.691278\pi\) | |||||||
\(164\) | 3.81365 | − | 2.77078i | 0.297796 | − | 0.216361i | ||||
\(165\) | −1.06260 | + | 4.25011i | −0.0827230 | + | 0.330871i | ||||
\(166\) | −14.0332 | + | 6.24799i | −1.08919 | + | 0.484938i | ||||
\(167\) | 15.1829 | − | 16.8623i | 1.17488 | − | 1.30484i | 0.231618 | − | 0.972807i | \(-0.425598\pi\) |
0.943267 | − | 0.332035i | \(-0.107735\pi\) | |||||||
\(168\) | −0.174784 | + | 0.302734i | −0.0134849 | + | 0.0233565i | ||||
\(169\) | 8.83690 | + | 1.87834i | 0.679761 | + | 0.144488i | ||||
\(170\) | 2.29305 | + | 0.323782i | 0.175869 | + | 0.0248329i | ||||
\(171\) | −7.10813 | − | 9.44813i | −0.543572 | − | 0.722517i | ||||
\(172\) | −2.60874 | + | 8.02887i | −0.198914 | + | 0.612196i | ||||
\(173\) | 0.518573 | + | 4.93389i | 0.0394264 | + | 0.375117i | 0.996389 | + | 0.0849056i | \(0.0270589\pi\) |
−0.956963 | + | 0.290211i | \(0.906274\pi\) | |||||||
\(174\) | 2.00589 | − | 3.47430i | 0.152066 | − | 0.263386i | ||||
\(175\) | 3.25134 | + | 0.231589i | 0.245779 | + | 0.0175065i | ||||
\(176\) | −1.82689 | + | 3.16427i | −0.137707 | + | 0.238516i | ||||
\(177\) | −0.143096 | − | 0.0637103i | −0.0107557 | − | 0.00478876i | ||||
\(178\) | 2.26724 | − | 6.97785i | 0.169937 | − | 0.523012i | ||||
\(179\) | −2.25499 | + | 6.94014i | −0.168546 | + | 0.518730i | −0.999280 | − | 0.0379387i | \(-0.987921\pi\) |
0.830734 | + | 0.556669i | \(0.187921\pi\) | |||||||
\(180\) | −6.05077 | + | 0.419173i | −0.450998 | + | 0.0312433i | ||||
\(181\) | −3.57596 | + | 3.97150i | −0.265799 | + | 0.295200i | −0.861239 | − | 0.508200i | \(-0.830311\pi\) |
0.595440 | + | 0.803400i | \(0.296978\pi\) | |||||||
\(182\) | 1.29823 | 0.0962310 | ||||||||
\(183\) | 1.50350 | + | 4.62731i | 0.111142 | + | 0.342060i | ||||
\(184\) | 0.301047 | − | 2.86427i | 0.0221935 | − | 0.211157i | ||||
\(185\) | 4.44303 | − | 5.67923i | 0.326658 | − | 0.417546i | ||||
\(186\) | 4.37823 | + | 1.94932i | 0.321028 | + | 0.142931i | ||||
\(187\) | −3.45691 | + | 1.53911i | −0.252794 | + | 0.112551i | ||||
\(188\) | 7.09979 | − | 3.16103i | 0.517805 | − | 0.230542i | ||||
\(189\) | 1.61552 | − | 1.17375i | 0.117512 | − | 0.0853774i | ||||
\(190\) | 6.65747 | − | 7.11886i | 0.482983 | − | 0.516456i | ||||
\(191\) | 1.43973 | + | 1.04602i | 0.104175 | + | 0.0756877i | 0.638653 | − | 0.769495i | \(-0.279492\pi\) |
−0.534478 | + | 0.845182i | \(0.679492\pi\) | |||||||
\(192\) | 0.524498 | + | 0.111485i | 0.0378524 | + | 0.00804577i | ||||
\(193\) | −1.04352 | + | 1.80743i | −0.0751141 | + | 0.130101i | −0.901136 | − | 0.433537i | \(-0.857265\pi\) |
0.826022 | + | 0.563638i | \(0.190599\pi\) | |||||||
\(194\) | 1.81725 | − | 2.01826i | 0.130471 | − | 0.144903i | ||||
\(195\) | −1.33391 | − | 1.98037i | −0.0955235 | − | 0.141817i | ||||
\(196\) | 6.43133 | − | 1.36702i | 0.459380 | − | 0.0976443i | ||||
\(197\) | −1.94017 | + | 5.97123i | −0.138231 | + | 0.425433i | −0.996079 | − | 0.0884721i | \(-0.971802\pi\) |
0.857847 | + | 0.513905i | \(0.171802\pi\) | |||||||
\(198\) | 8.01799 | − | 5.82541i | 0.569814 | − | 0.413994i | ||||
\(199\) | −6.67018 | − | 11.5531i | −0.472837 | − | 0.818977i | 0.526680 | − | 0.850064i | \(-0.323437\pi\) |
−0.999517 | + | 0.0310865i | \(0.990103\pi\) | |||||||
\(200\) | −1.20332 | − | 4.85304i | −0.0850879 | − | 0.343162i | ||||
\(201\) | 1.05958 | 0.0747369 | ||||||||
\(202\) | 4.99179 | − | 3.62674i | 0.351221 | − | 0.255177i | ||||
\(203\) | 4.77083 | − | 1.01407i | 0.334846 | − | 0.0711738i | ||||
\(204\) | 0.371591 | + | 0.412694i | 0.0260166 | + | 0.0288944i | ||||
\(205\) | −3.94227 | − | 9.77569i | −0.275340 | − | 0.682764i | ||||
\(206\) | 12.0132 | + | 2.55349i | 0.837000 | + | 0.177910i | ||||
\(207\) | −3.90602 | + | 6.76543i | −0.271487 | + | 0.470230i | ||||
\(208\) | −0.615377 | − | 1.89394i | −0.0426687 | − | 0.131321i | ||||
\(209\) | −3.05110 | + | 15.6315i | −0.211049 | + | 1.08125i | ||||
\(210\) | 0.561925 | + | 0.543349i | 0.0387765 | + | 0.0374946i | ||||
\(211\) | −2.32863 | − | 22.1554i | −0.160309 | − | 1.52524i | −0.718498 | − | 0.695529i | \(-0.755170\pi\) |
0.558189 | − | 0.829714i | \(-0.311497\pi\) | |||||||
\(212\) | −10.2506 | + | 4.56385i | −0.704012 | + | 0.313446i | ||||
\(213\) | −0.509751 | + | 4.84996i | −0.0349276 | + | 0.332314i | ||||
\(214\) | 1.27963 | + | 12.1749i | 0.0874739 | + | 0.832258i | ||||
\(215\) | 16.0021 | + | 10.0137i | 1.09134 | + | 0.682926i | ||||
\(216\) | −2.47811 | − | 1.80045i | −0.168614 | − | 0.122505i | ||||
\(217\) | 1.80054 | + | 5.54150i | 0.122229 | + | 0.376182i | ||||
\(218\) | −10.2397 | − | 17.7356i | −0.693517 | − | 1.20121i | ||||
\(219\) | 4.61684 | − | 5.12752i | 0.311977 | − | 0.346486i | ||||
\(220\) | 5.87340 | + | 5.67923i | 0.395985 | + | 0.382894i | ||||
\(221\) | 0.637319 | − | 1.96147i | 0.0428707 | − | 0.131942i | ||||
\(222\) | 1.69136 | − | 0.359510i | 0.113517 | − | 0.0241287i | ||||
\(223\) | −0.0996143 | − | 0.947767i | −0.00667067 | − | 0.0634672i | 0.990680 | − | 0.136209i | \(-0.0434918\pi\) |
−0.997351 | + | 0.0727416i | \(0.976825\pi\) | |||||||
\(224\) | 0.325958 | + | 0.564576i | 0.0217790 | + | 0.0377223i | ||||
\(225\) | −2.37238 | + | 13.3533i | −0.158159 | + | 0.890217i | ||||
\(226\) | 8.88873 | − | 15.3957i | 0.591269 | − | 1.02411i | ||||
\(227\) | −12.4463 | + | 9.04279i | −0.826092 | + | 0.600191i | −0.918451 | − | 0.395535i | \(-0.870559\pi\) |
0.0923588 | + | 0.995726i | \(0.470559\pi\) | |||||||
\(228\) | 2.32011 | − | 0.283037i | 0.153653 | − | 0.0187446i | ||||
\(229\) | −2.37727 | + | 7.31650i | −0.157095 | + | 0.483488i | −0.998367 | − | 0.0571237i | \(-0.981807\pi\) |
0.841272 | + | 0.540611i | \(0.181807\pi\) | |||||||
\(230\) | −6.05017 | − | 2.20652i | −0.398936 | − | 0.145494i | ||||
\(231\) | −1.24933 | − | 0.265554i | −0.0822000 | − | 0.0174722i | ||||
\(232\) | −3.74082 | − | 6.47930i | −0.245597 | − | 0.425387i | ||||
\(233\) | 3.20400 | + | 0.681031i | 0.209901 | + | 0.0446158i | 0.311662 | − | 0.950193i | \(-0.399114\pi\) |
−0.101761 | + | 0.994809i | \(0.532448\pi\) | |||||||
\(234\) | −0.564623 | + | 5.37203i | −0.0369106 | + | 0.351181i | ||||
\(235\) | −3.00658 | − | 17.1160i | −0.196127 | − | 1.11652i | ||||
\(236\) | −0.236328 | + | 0.171702i | −0.0153836 | + | 0.0111769i | ||||
\(237\) | −0.0399160 | + | 0.379775i | −0.00259282 | + | 0.0246691i | ||||
\(238\) | −0.0705735 | + | 0.671462i | −0.00457460 | + | 0.0435244i | ||||
\(239\) | 14.8293 | − | 10.7741i | 0.959229 | − | 0.696921i | 0.00625728 | − | 0.999980i | \(-0.498008\pi\) |
0.952972 | + | 0.303060i | \(0.0980082\pi\) | |||||||
\(240\) | 0.526311 | − | 1.07733i | 0.0339732 | − | 0.0695411i | ||||
\(241\) | 0.450184 | − | 4.28321i | 0.0289989 | − | 0.275906i | −0.970408 | − | 0.241471i | \(-0.922370\pi\) |
0.999407 | − | 0.0344350i | \(-0.0109632\pi\) | |||||||
\(242\) | −2.29875 | − | 0.488614i | −0.147769 | − | 0.0314093i | ||||
\(243\) | 6.33601 | + | 10.9743i | 0.406456 | + | 0.704002i | ||||
\(244\) | 8.87539 | + | 1.88652i | 0.568188 | + | 0.120772i | ||||
\(245\) | 0.522614 | − | 14.6929i | 0.0333886 | − | 0.938693i | ||||
\(246\) | 0.781097 | − | 2.40397i | 0.0498009 | − | 0.153271i | ||||
\(247\) | −5.21854 | − | 6.93648i | −0.332048 | − | 0.441358i | ||||
\(248\) | 7.23081 | − | 5.25349i | 0.459157 | − | 0.333597i | ||||
\(249\) | −4.11847 | + | 7.13341i | −0.260998 | + | 0.452061i | ||||
\(250\) | −11.1803 | − | 0.0217241i | −0.707105 | − | 0.00137395i | ||||
\(251\) | 13.1538 | + | 22.7830i | 0.830258 | + | 1.43805i | 0.897834 | + | 0.440335i | \(0.145140\pi\) |
−0.0675758 | + | 0.997714i | \(0.521526\pi\) | |||||||
\(252\) | −0.184838 | − | 1.75862i | −0.0116437 | − | 0.110783i | ||||
\(253\) | 10.2931 | − | 2.18787i | 0.647121 | − | 0.137550i | ||||
\(254\) | 6.61751 | − | 20.3666i | 0.415220 | − | 1.27791i | ||||
\(255\) | 1.09679 | − | 0.582263i | 0.0686837 | − | 0.0364627i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −1.86814 | − | 3.23571i | −0.116531 | − | 0.201838i | 0.801859 | − | 0.597513i | \(-0.203844\pi\) |
−0.918391 | + | 0.395674i | \(0.870511\pi\) | |||||||
\(258\) | 1.39885 | + | 4.30520i | 0.0870883 | + | 0.268030i | ||||
\(259\) | 1.70076 | + | 1.23567i | 0.105680 | + | 0.0767809i | ||||
\(260\) | −4.44226 | + | 0.307742i | −0.275497 | + | 0.0190854i | ||||
\(261\) | 2.12128 | + | 20.1826i | 0.131304 | + | 1.24927i | ||||
\(262\) | −1.69879 | + | 16.1629i | −0.104951 | + | 0.998547i | ||||
\(263\) | 3.74037 | − | 1.66532i | 0.230641 | − | 0.102688i | −0.288162 | − | 0.957582i | \(-0.593044\pi\) |
0.518804 | + | 0.854893i | \(0.326378\pi\) | |||||||
\(264\) | 0.204793 | + | 1.94848i | 0.0126042 | + | 0.119921i | ||||
\(265\) | 4.34085 | + | 24.7118i | 0.266656 | + | 1.51803i | ||||
\(266\) | 2.14316 | + | 1.86595i | 0.131405 | + | 0.114409i | ||||
\(267\) | −1.21573 | − | 3.74163i | −0.0744015 | − | 0.228984i | ||||
\(268\) | 0.988016 | − | 1.71129i | 0.0603527 | − | 0.104534i | ||||
\(269\) | 17.5274 | + | 3.72556i | 1.06866 | + | 0.227152i | 0.708481 | − | 0.705730i | \(-0.249381\pi\) |
0.360183 | + | 0.932882i | \(0.382714\pi\) | |||||||
\(270\) | −5.24975 | + | 4.39927i | −0.319489 | + | 0.267731i | ||||
\(271\) | −0.596731 | − | 0.662737i | −0.0362488 | − | 0.0402584i | 0.724748 | − | 0.689014i | \(-0.241956\pi\) |
−0.760997 | + | 0.648756i | \(0.775290\pi\) | |||||||
\(272\) | 1.01302 | − | 0.215325i | 0.0614236 | − | 0.0130560i | ||||
\(273\) | 0.563181 | − | 0.409175i | 0.0340852 | − | 0.0247644i | ||||
\(274\) | 11.6113 | 0.701467 | ||||||||
\(275\) | 15.5054 | − | 9.66096i | 0.935013 | − | 0.582578i | ||||
\(276\) | −0.772162 | − | 1.33742i | −0.0464787 | − | 0.0805035i | ||||
\(277\) | 4.25347 | − | 3.09033i | 0.255566 | − | 0.185680i | −0.452624 | − | 0.891702i | \(-0.649512\pi\) |
0.708190 | + | 0.706022i | \(0.249512\pi\) | |||||||
\(278\) | −5.98647 | + | 18.4245i | −0.359044 | + | 1.10503i | ||||
\(279\) | −23.7137 | + | 5.04050i | −1.41970 | + | 0.301767i | ||||
\(280\) | 1.40152 | − | 0.400897i | 0.0837568 | − | 0.0239582i | ||||
\(281\) | −10.9680 | + | 12.1812i | −0.654299 | + | 0.726672i | −0.975417 | − | 0.220367i | \(-0.929275\pi\) |
0.321119 | + | 0.947039i | \(0.395941\pi\) | |||||||
\(282\) | 2.08365 | − | 3.60899i | 0.124080 | − | 0.214912i | ||||
\(283\) | 6.14750 | + | 1.30669i | 0.365431 | + | 0.0776748i | 0.386968 | − | 0.922093i | \(-0.373522\pi\) |
−0.0215365 | + | 0.999768i | \(0.506856\pi\) | |||||||
\(284\) | 7.35770 | + | 5.34568i | 0.436599 | + | 0.317208i | ||||
\(285\) | 0.644340 | − | 5.18651i | 0.0381674 | − | 0.307222i | ||||
\(286\) | 5.88652 | − | 4.27681i | 0.348077 | − | 0.252893i | ||||
\(287\) | 2.80741 | − | 1.24994i | 0.165716 | − | 0.0737815i | ||||
\(288\) | −2.47797 | + | 1.10326i | −0.146016 | + | 0.0650103i | ||||
\(289\) | −14.5504 | − | 6.47826i | −0.855907 | − | 0.381074i | ||||
\(290\) | −16.0844 | + | 4.60085i | −0.944508 | + | 0.270171i | ||||
\(291\) | 0.152222 | − | 1.44830i | 0.00892343 | − | 0.0849007i | ||||
\(292\) | −3.97628 | − | 12.2377i | −0.232694 | − | 0.716160i | ||||
\(293\) | −3.41766 | −0.199662 | −0.0998308 | − | 0.995004i | \(-0.531830\pi\) | ||||
−0.0998308 | + | 0.995004i | \(0.531830\pi\) | |||||||
\(294\) | 2.35910 | − | 2.62005i | 0.137585 | − | 0.152804i | ||||
\(295\) | 0.244298 | + | 0.605789i | 0.0142236 | + | 0.0352704i | ||||
\(296\) | 0.996495 | − | 3.06690i | 0.0579201 | − | 0.178260i | ||||
\(297\) | 3.45850 | − | 10.6442i | 0.200683 | − | 0.617638i | ||||
\(298\) | −19.1987 | − | 8.54779i | −1.11215 | − | 0.495160i | ||||
\(299\) | −2.86766 | + | 4.96694i | −0.165841 | + | 0.287246i | ||||
\(300\) | −2.05159 | − | 1.72602i | −0.118449 | − | 0.0996519i | ||||
\(301\) | −2.75176 | + | 4.76618i | −0.158609 | + | 0.274718i | ||||
\(302\) | 2.11678 | + | 20.1399i | 0.121807 | + | 1.15892i | ||||
\(303\) | 1.02240 | − | 3.14662i | 0.0587352 | − | 0.180768i | ||||
\(304\) | 1.70629 | − | 4.01106i | 0.0978622 | − | 0.230050i | ||||
\(305\) | 8.90607 | − | 18.2302i | 0.509960 | − | 1.04386i | ||||
\(306\) | −2.74780 | − | 0.584063i | −0.157081 | − | 0.0333887i | ||||
\(307\) | −5.90923 | + | 10.2351i | −0.337257 | + | 0.584147i | −0.983916 | − | 0.178633i | \(-0.942833\pi\) |
0.646658 | + | 0.762780i | \(0.276166\pi\) | |||||||
\(308\) | −1.59384 | + | 1.77014i | −0.0908176 | + | 0.100863i | ||||
\(309\) | 6.01623 | − | 2.67860i | 0.342251 | − | 0.152380i | ||||
\(310\) | −7.47469 | − | 18.5351i | −0.424534 | − | 1.05272i | ||||
\(311\) | −7.37171 | + | 5.35586i | −0.418011 | + | 0.303703i | −0.776837 | − | 0.629701i | \(-0.783177\pi\) |
0.358826 | + | 0.933405i | \(0.383177\pi\) | |||||||
\(312\) | −0.863885 | − | 0.627649i | −0.0489078 | − | 0.0355336i | ||||
\(313\) | −0.0682093 | + | 0.648968i | −0.00385541 | + | 0.0366818i | −0.996280 | − | 0.0861698i | \(-0.972537\pi\) |
0.992425 | + | 0.122852i | \(0.0392039\pi\) | |||||||
\(314\) | −21.4083 | − | 9.53161i | −1.20814 | − | 0.537900i | ||||
\(315\) | −3.91521 | − | 0.552834i | −0.220597 | − | 0.0311486i | ||||
\(316\) | 0.576144 | + | 0.418593i | 0.0324106 | + | 0.0235477i | ||||
\(317\) | −14.2226 | + | 15.7958i | −0.798821 | + | 0.887181i | −0.995642 | − | 0.0932586i | \(-0.970272\pi\) |
0.196821 | + | 0.980440i | \(0.436938\pi\) | |||||||
\(318\) | −3.00834 | + | 5.21060i | −0.168699 | + | 0.292196i | ||||
\(319\) | 18.2916 | − | 20.3148i | 1.02413 | − | 1.13741i | ||||
\(320\) | −1.24919 | − | 1.85459i | −0.0698320 | − | 0.103675i | ||||
\(321\) | 4.39239 | + | 4.87824i | 0.245159 | + | 0.272277i | ||||
\(322\) | 0.580195 | − | 1.78566i | 0.0323330 | − | 0.0995107i | ||||
\(323\) | 3.87134 | − | 2.32203i | 0.215407 | − | 0.129201i | ||||
\(324\) | 6.49493 | 0.360829 | ||||||||
\(325\) | −1.74172 | + | 9.80349i | −0.0966131 | + | 0.543800i | ||||
\(326\) | 0.349782 | − | 0.605841i | 0.0193726 | − | 0.0335544i | ||||
\(327\) | −10.0319 | − | 4.46651i | −0.554767 | − | 0.246998i | ||||
\(328\) | −3.15423 | − | 3.50313i | −0.174163 | − | 0.193428i | ||||
\(329\) | 4.95578 | − | 1.05338i | 0.273221 | − | 0.0580749i | ||||
\(330\) | 4.33790 | + | 0.612518i | 0.238794 | + | 0.0337180i | ||||
\(331\) | −5.62427 | − | 17.3097i | −0.309138 | − | 0.951429i | −0.978101 | − | 0.208133i | \(-0.933261\pi\) |
0.668963 | − | 0.743296i | \(-0.266739\pi\) | |||||||
\(332\) | 7.68063 | + | 13.3032i | 0.421529 | + | 0.730110i | ||||
\(333\) | −5.85287 | + | 6.50027i | −0.320735 | + | 0.356213i | ||||
\(334\) | −18.3569 | − | 13.3371i | −1.00445 | − | 0.729773i | ||||
\(335\) | −3.17645 | − | 3.07144i | −0.173548 | − | 0.167810i | ||||
\(336\) | 0.319346 | + | 0.142182i | 0.0174217 | + | 0.00775666i | ||||
\(337\) | −26.5084 | + | 11.8023i | −1.44400 | + | 0.642912i | −0.971202 | − | 0.238256i | \(-0.923424\pi\) |
−0.472803 | + | 0.881168i | \(0.656758\pi\) | |||||||
\(338\) | 0.944343 | − | 8.98483i | 0.0513655 | − | 0.488710i | ||||
\(339\) | −0.996422 | − | 9.48032i | −0.0541182 | − | 0.514900i | ||||
\(340\) | 0.0823191 | − | 2.31433i | 0.00446438 | − | 0.125512i | ||||
\(341\) | 26.4198 | + | 19.1951i | 1.43071 | + | 1.03947i | ||||
\(342\) | −8.65337 | + | 8.05679i | −0.467921 | + | 0.435661i | ||||
\(343\) | 8.84977 | 0.477843 | ||||||||
\(344\) | 8.25758 | + | 1.75520i | 0.445219 | + | 0.0946342i | ||||
\(345\) | −3.32006 | + | 0.949685i | −0.178746 | + | 0.0511293i | ||||
\(346\) | 4.85266 | − | 1.03146i | 0.260880 | − | 0.0554519i | ||||
\(347\) | 23.5852 | + | 26.1940i | 1.26612 | + | 1.40617i | 0.873762 | + | 0.486354i | \(0.161673\pi\) |
0.392357 | + | 0.919813i | \(0.371660\pi\) | |||||||
\(348\) | −3.66494 | − | 1.63174i | −0.196461 | − | 0.0874702i | ||||
\(349\) | 17.4104 | 0.931958 | 0.465979 | − | 0.884796i | \(-0.345702\pi\) | ||||
0.465979 | + | 0.884796i | \(0.345702\pi\) | |||||||
\(350\) | −0.109538 | − | 3.25774i | −0.00585505 | − | 0.174134i | ||||
\(351\) | 3.04995 | + | 5.28266i | 0.162794 | + | 0.281968i | ||||
\(352\) | 3.33789 | + | 1.48613i | 0.177910 | + | 0.0792108i | ||||
\(353\) | −5.15165 | + | 15.8551i | −0.274195 | + | 0.843884i | 0.715237 | + | 0.698882i | \(0.246319\pi\) |
−0.989431 | + | 0.145002i | \(0.953681\pi\) | |||||||
\(354\) | −0.0484037 | + | 0.148971i | −0.00257263 | + | 0.00791773i | ||||
\(355\) | 15.5869 | − | 13.0617i | 0.827266 | − | 0.693246i | ||||
\(356\) | −7.17662 | − | 1.52544i | −0.380360 | − | 0.0808480i | ||||
\(357\) | 0.181016 | + | 0.313529i | 0.00958037 | + | 0.0165937i | ||||
\(358\) | 7.13783 | + | 1.51719i | 0.377246 | + | 0.0801861i | ||||
\(359\) | 13.0173 | − | 5.79569i | 0.687028 | − | 0.305885i | −0.0333723 | − | 0.999443i | \(-0.510625\pi\) |
0.720400 | + | 0.693558i | \(0.243958\pi\) | |||||||
\(360\) | 1.04935 | + | 5.97381i | 0.0553059 | + | 0.314847i | ||||
\(361\) | 1.35493 | − | 18.9516i | 0.0713121 | − | 0.997454i | ||||
\(362\) | 4.32354 | + | 3.14123i | 0.227240 | + | 0.165100i | ||||
\(363\) | −1.15122 | + | 0.512554i | −0.0604231 | + | 0.0269021i | ||||
\(364\) | −0.135702 | − | 1.29112i | −0.00711270 | − | 0.0676729i | ||||
\(365\) | −28.7039 | + | 1.98849i | −1.50243 | + | 0.104082i | ||||
\(366\) | 4.44480 | − | 1.97895i | 0.232333 | − | 0.103442i | ||||
\(367\) | 18.4492 | − | 20.4899i | 0.963040 | − | 1.06956i | −0.0344954 | − | 0.999405i | \(-0.510982\pi\) |
0.997536 | − | 0.0701598i | \(-0.0223509\pi\) | |||||||
\(368\) | −2.88005 | −0.150133 | ||||||||
\(369\) | 3.95122 | + | 12.1606i | 0.205692 | + | 0.633055i | ||||
\(370\) | −6.11255 | − | 3.82505i | −0.317776 | − | 0.198855i | ||||
\(371\) | −7.15508 | + | 1.52086i | −0.371473 | + | 0.0789590i | ||||
\(372\) | 1.48099 | − | 4.55801i | 0.0767856 | − | 0.236322i | ||||
\(373\) | −20.7955 | + | 15.1088i | −1.07675 | + | 0.782303i | −0.977113 | − | 0.212721i | \(-0.931767\pi\) |
−0.0996349 | + | 0.995024i | \(0.531767\pi\) | |||||||
\(374\) | 1.89203 | + | 3.27709i | 0.0978345 | + | 0.169454i | ||||
\(375\) | −4.85695 | + | 3.51438i | −0.250812 | + | 0.181482i | ||||
\(376\) | −3.88584 | − | 6.73048i | −0.200397 | − | 0.347098i | ||||
\(377\) | 1.55737 | + | 14.8174i | 0.0802084 | + | 0.763132i | ||||
\(378\) | −1.33618 | − | 1.48398i | −0.0687259 | − | 0.0763278i | ||||
\(379\) | −0.798831 | + | 2.45855i | −0.0410332 | + | 0.126287i | −0.969475 | − | 0.245192i | \(-0.921149\pi\) |
0.928441 | + | 0.371479i | \(0.121149\pi\) | |||||||
\(380\) | −7.77576 | − | 5.87687i | −0.398888 | − | 0.301477i | ||||
\(381\) | −3.54841 | − | 10.9209i | −0.181791 | − | 0.559494i | ||||
\(382\) | 0.889802 | − | 1.54118i | 0.0455262 | − | 0.0788537i | ||||
\(383\) | 4.04381 | + | 0.859538i | 0.206629 | + | 0.0439204i | 0.310063 | − | 0.950716i | \(-0.399650\pi\) |
−0.103434 | + | 0.994636i | \(0.532983\pi\) | |||||||
\(384\) | 0.0560498 | − | 0.533278i | 0.00286028 | − | 0.0272137i | ||||
\(385\) | 2.97552 | + | 4.41757i | 0.151647 | + | 0.225140i | ||||
\(386\) | 1.90660 | + | 0.848874i | 0.0970435 | + | 0.0432066i | ||||
\(387\) | −18.5256 | − | 13.4596i | −0.941707 | − | 0.684190i | ||||
\(388\) | −2.19716 | − | 1.59633i | −0.111544 | − | 0.0810414i | ||||
\(389\) | −16.9615 | − | 7.55174i | −0.859982 | − | 0.382889i | −0.0711263 | − | 0.997467i | \(-0.522659\pi\) |
−0.788855 | + | 0.614579i | \(0.789326\pi\) | |||||||
\(390\) | −1.83009 | + | 1.53361i | −0.0926703 | + | 0.0776574i | ||||
\(391\) | −2.41308 | − | 1.75321i | −0.122035 | − | 0.0886635i | ||||
\(392\) | −2.03179 | − | 6.25320i | −0.102621 | − | 0.315834i | ||||
\(393\) | 4.35727 | + | 7.54700i | 0.219795 | + | 0.380696i | ||||
\(394\) | 6.14133 | + | 1.30538i | 0.309396 | + | 0.0657641i | ||||
\(395\) | 1.22053 | − | 1.02280i | 0.0614115 | − | 0.0514626i | ||||
\(396\) | −6.63161 | − | 7.36514i | −0.333251 | − | 0.370112i | ||||
\(397\) | 4.01216 | + | 4.45595i | 0.201364 | + | 0.223638i | 0.835366 | − | 0.549694i | \(-0.185256\pi\) |
−0.634002 | + | 0.773331i | \(0.718589\pi\) | |||||||
\(398\) | −10.7926 | + | 7.84127i | −0.540983 | + | 0.393047i | ||||
\(399\) | 1.51783 | + | 0.133985i | 0.0759864 | + | 0.00670766i | ||||
\(400\) | −4.70067 | + | 1.70401i | −0.235034 | + | 0.0852007i | ||||
\(401\) | −6.26176 | + | 10.8457i | −0.312697 | + | 0.541607i | −0.978945 | − | 0.204123i | \(-0.934566\pi\) |
0.666248 | + | 0.745730i | \(0.267899\pi\) | |||||||
\(402\) | −0.110756 | − | 1.05377i | −0.00552402 | − | 0.0525575i | ||||
\(403\) | −17.4098 | + | 3.70056i | −0.867242 | + | 0.184338i | ||||
\(404\) | −4.12866 | − | 4.58534i | −0.205409 | − | 0.228129i | ||||
\(405\) | 3.52258 | − | 14.0894i | 0.175039 | − | 0.700109i | ||||
\(406\) | −1.50720 | − | 4.63869i | −0.0748012 | − | 0.230214i | ||||
\(407\) | 11.7824 | 0.584033 | ||||||||
\(408\) | 0.371591 | − | 0.412694i | 0.0183965 | − | 0.0204314i | ||||
\(409\) | −2.32279 | + | 22.0998i | −0.114854 | + | 1.09277i | 0.773559 | + | 0.633724i | \(0.218474\pi\) |
−0.888414 | + | 0.459043i | \(0.848192\pi\) | |||||||
\(410\) | −9.31006 | + | 4.94252i | −0.459791 | + | 0.244093i | ||||
\(411\) | 5.03709 | − | 3.65966i | 0.248461 | − | 0.180518i | ||||
\(412\) | 1.28378 | − | 12.2143i | 0.0632471 | − | 0.601756i | ||||
\(413\) | −0.173972 | + | 0.0774573i | −0.00856060 | + | 0.00381142i | ||||
\(414\) | 7.13666 | + | 3.17745i | 0.350748 | + | 0.156163i | ||||
\(415\) | 33.0243 | − | 9.44643i | 1.62110 | − | 0.463707i | ||||
\(416\) | −1.81924 | + | 0.809976i | −0.0891954 | + | 0.0397123i | ||||
\(417\) | 3.21004 | + | 9.87947i | 0.157196 | + | 0.483800i | ||||
\(418\) | 15.8648 | + | 1.40045i | 0.775971 | + | 0.0684984i | ||||
\(419\) | −1.34286 | − | 4.13289i | −0.0656029 | − | 0.201905i | 0.912882 | − | 0.408224i | \(-0.133852\pi\) |
−0.978485 | + | 0.206319i | \(0.933852\pi\) | |||||||
\(420\) | 0.481635 | − | 0.615642i | 0.0235014 | − | 0.0300403i | ||||
\(421\) | 11.0993 | + | 12.3270i | 0.540945 | + | 0.600781i | 0.950201 | − | 0.311639i | \(-0.100878\pi\) |
−0.409255 | + | 0.912420i | \(0.634211\pi\) | |||||||
\(422\) | −21.7907 | + | 4.63175i | −1.06075 | + | 0.225470i | ||||
\(423\) | 2.20351 | + | 20.9650i | 0.107138 | + | 1.01935i | ||||
\(424\) | 5.61032 | + | 9.71737i | 0.272461 | + | 0.471917i | ||||
\(425\) | −4.97583 | − | 1.43377i | −0.241363 | − | 0.0695482i | ||||
\(426\) | 4.87667 | 0.236276 | ||||||||
\(427\) | 5.40387 | + | 2.40596i | 0.261512 | + | 0.116432i | ||||
\(428\) | 11.9744 | − | 2.54525i | 0.578806 | − | 0.123029i | ||||
\(429\) | 1.20565 | − | 3.71062i | 0.0582096 | − | 0.179151i | ||||
\(430\) | 8.28612 | − | 16.9612i | 0.399592 | − | 0.817941i | ||||
\(431\) | 1.08360 | − | 1.20346i | 0.0521950 | − | 0.0579684i | −0.716482 | − | 0.697606i | \(-0.754249\pi\) |
0.768677 | + | 0.639637i | \(0.220915\pi\) | |||||||
\(432\) | −1.53156 | + | 2.65274i | −0.0736871 | + | 0.127630i | ||||
\(433\) | 13.4230 | − | 14.9077i | 0.645067 | − | 0.716420i | −0.328581 | − | 0.944476i | \(-0.606570\pi\) |
0.973648 | + | 0.228056i | \(0.0732370\pi\) | |||||||
\(434\) | 5.32294 | − | 2.36993i | 0.255509 | − | 0.113760i | ||||
\(435\) | −5.52743 | + | 7.06535i | −0.265020 | + | 0.338758i | ||||
\(436\) | −16.5681 | + | 12.0374i | −0.793469 | + | 0.576489i | ||||
\(437\) | −11.8731 | + | 4.07787i | −0.567965 | + | 0.195071i | ||||
\(438\) | −5.58203 | − | 4.05558i | −0.266720 | − | 0.193783i | ||||
\(439\) | 1.92302 | + | 18.2963i | 0.0917808 | + | 0.873236i | 0.939444 | + | 0.342702i | \(0.111342\pi\) |
−0.847663 | + | 0.530534i | \(0.821991\pi\) | |||||||
\(440\) | 5.03418 | − | 6.43487i | 0.239995 | − | 0.306770i | ||||
\(441\) | −1.86422 | + | 17.7368i | −0.0887722 | + | 0.844611i | ||||
\(442\) | −2.01734 | − | 0.428798i | −0.0959550 | − | 0.0203959i | ||||
\(443\) | 2.49874 | + | 4.32795i | 0.118719 | + | 0.205627i | 0.919260 | − | 0.393650i | \(-0.128788\pi\) |
−0.800541 | + | 0.599277i | \(0.795455\pi\) | |||||||
\(444\) | −0.534336 | − | 1.64452i | −0.0253585 | − | 0.0780453i | ||||
\(445\) | −7.20143 | + | 14.7409i | −0.341380 | + | 0.698785i | ||||
\(446\) | −0.932163 | + | 0.198137i | −0.0441392 | + | 0.00938207i | ||||
\(447\) | −11.0226 | + | 2.34293i | −0.521351 | + | 0.110817i | ||||
\(448\) | 0.527411 | − | 0.383187i | 0.0249178 | − | 0.0181039i | ||||
\(449\) | 3.82559 | 0.180541 | 0.0902705 | − | 0.995917i | \(-0.471227\pi\) | ||||
0.0902705 | + | 0.995917i | \(0.471227\pi\) | |||||||
\(450\) | 13.5281 | + | 0.963588i | 0.637720 | + | 0.0454240i | ||||
\(451\) | 8.61183 | − | 14.9161i | 0.405515 | − | 0.702373i | ||||
\(452\) | −16.2405 | − | 7.23074i | −0.763889 | − | 0.340105i | ||||
\(453\) | 7.26595 | + | 8.06965i | 0.341384 | + | 0.379145i | ||||
\(454\) | 10.2943 | + | 11.4329i | 0.483133 | + | 0.536574i | ||||
\(455\) | −2.87441 | − | 0.405871i | −0.134755 | − | 0.0190275i | ||||
\(456\) | −0.524004 | − | 2.27781i | −0.0245387 | − | 0.106668i | ||||
\(457\) | −28.0067 | −1.31010 | −0.655050 | − | 0.755585i | \(-0.727353\pi\) | ||||
−0.655050 | + | 0.755585i | \(0.727353\pi\) | |||||||
\(458\) | 7.52491 | + | 1.59947i | 0.351616 | + | 0.0747383i | ||||
\(459\) | −2.89807 | + | 1.29030i | −0.135270 | + | 0.0602262i | ||||
\(460\) | −1.56202 | + | 6.24767i | −0.0728295 | + | 0.291299i | ||||
\(461\) | −2.21055 | − | 21.0320i | −0.102955 | − | 0.979556i | −0.917036 | − | 0.398804i | \(-0.869425\pi\) |
0.814081 | − | 0.580752i | \(-0.197241\pi\) | |||||||
\(462\) | −0.133508 | + | 1.27025i | −0.00621137 | + | 0.0590972i | ||||
\(463\) | −16.8285 | − | 12.2267i | −0.782089 | − | 0.568221i | 0.123517 | − | 0.992343i | \(-0.460583\pi\) |
−0.905605 | + | 0.424122i | \(0.860583\pi\) | |||||||
\(464\) | −6.05278 | + | 4.39760i | −0.280993 | + | 0.204154i | ||||
\(465\) | −9.08444 | − | 5.68477i | −0.421281 | − | 0.263625i | ||||
\(466\) | 0.342391 | − | 3.25763i | 0.0158610 | − | 0.150907i | ||||
\(467\) | 0.845133 | + | 2.60105i | 0.0391081 | + | 0.120362i | 0.968705 | − | 0.248217i | \(-0.0798444\pi\) |
−0.929596 | + | 0.368579i | \(0.879844\pi\) | |||||||
\(468\) | 5.40162 | 0.249690 | ||||||||
\(469\) | 0.861979 | − | 0.957325i | 0.0398025 | − | 0.0442052i | ||||
\(470\) | −16.7079 | + | 4.77921i | −0.770679 | + | 0.220449i | ||||
\(471\) | −12.2913 | + | 2.61259i | −0.566352 | + | 0.120382i | ||||
\(472\) | 0.195464 | + | 0.217085i | 0.00899698 | + | 0.00999216i | ||||
\(473\) | 3.22422 | + | 30.6764i | 0.148250 | + | 1.41050i | ||||
\(474\) | 0.381867 | 0.0175397 | ||||||||
\(475\) | −16.9659 | + | 13.6805i | −0.778450 | + | 0.627706i | ||||
\(476\) | 0.675161 | 0.0309460 | ||||||||
\(477\) | −3.18140 | − | 30.2690i | −0.145666 | − | 1.38592i | ||||
\(478\) | −12.2652 | − | 13.6219i | −0.560997 | − | 0.623050i | ||||
\(479\) | −0.421606 | + | 0.0896152i | −0.0192637 | + | 0.00409462i | −0.217533 | − | 0.976053i | \(-0.569801\pi\) |
0.198270 | + | 0.980147i | \(0.436468\pi\) | |||||||
\(480\) | −1.12644 | − | 0.410817i | −0.0514147 | − | 0.0187511i | ||||
\(481\) | −4.29697 | + | 4.77227i | −0.195925 | + | 0.217597i | ||||
\(482\) | −4.30680 | −0.196170 | ||||||||
\(483\) | −0.311109 | − | 0.957496i | −0.0141560 | − | 0.0435676i | ||||
\(484\) | −0.245653 | + | 2.33723i | −0.0111660 | + | 0.106238i | ||||
\(485\) | −4.65457 | + | 3.90051i | −0.211353 | + | 0.177113i | ||||
\(486\) | 10.2519 | − | 7.44843i | 0.465035 | − | 0.337868i | ||||
\(487\) | −30.9702 | − | 22.5011i | −1.40339 | − | 1.01962i | −0.994242 | − | 0.107156i | \(-0.965825\pi\) |
−0.409149 | − | 0.912467i | \(-0.634175\pi\) | |||||||
\(488\) | 0.948456 | − | 9.02396i | 0.0429346 | − | 0.408495i | ||||
\(489\) | −0.0392104 | − | 0.373062i | −0.00177316 | − | 0.0168705i | ||||
\(490\) | −14.6670 | + | 1.01607i | −0.662588 | + | 0.0459014i | ||||
\(491\) | −17.0816 | + | 7.60520i | −0.770880 | + | 0.343218i | −0.754202 | − | 0.656643i | \(-0.771976\pi\) |
−0.0166787 | + | 0.999861i | \(0.505309\pi\) | |||||||
\(492\) | −2.47245 | − | 0.525535i | −0.111466 | − | 0.0236929i | ||||
\(493\) | −7.74841 | −0.348971 | ||||||||
\(494\) | −6.35300 | + | 5.91501i | −0.285835 | + | 0.266129i | ||||
\(495\) | −19.5739 | + | 10.3914i | −0.879781 | + | 0.467057i | ||||
\(496\) | −5.98054 | − | 6.64206i | −0.268534 | − | 0.298237i | ||||
\(497\) | 3.96723 | + | 4.40605i | 0.177954 | + | 0.197638i | ||||
\(498\) | 7.52483 | + | 3.35027i | 0.337195 | + | 0.150129i | ||||
\(499\) | −9.38524 | + | 16.2557i | −0.420141 | + | 0.727706i | −0.995953 | − | 0.0898766i | \(-0.971353\pi\) |
0.575812 | + | 0.817582i | \(0.304686\pi\) | |||||||
\(500\) | 1.14706 | + | 11.1213i | 0.0512979 | + | 0.497362i | ||||
\(501\) | −12.1670 | −0.543579 | ||||||||
\(502\) | 21.2832 | − | 15.4632i | 0.949917 | − | 0.690155i | ||||
\(503\) | 15.5133 | − | 3.29746i | 0.691705 | − | 0.147026i | 0.151371 | − | 0.988477i | \(-0.451631\pi\) |
0.540334 | + | 0.841451i | \(0.318298\pi\) | |||||||
\(504\) | −1.72966 | + | 0.367651i | −0.0770454 | + | 0.0163765i | ||||
\(505\) | −12.1862 | + | 6.46939i | −0.542278 | + | 0.287884i | ||||
\(506\) | −3.25180 | − | 10.0080i | −0.144560 | − | 0.444911i | ||||
\(507\) | −2.42217 | − | 4.19532i | −0.107572 | − | 0.186321i | ||||
\(508\) | −20.9468 | − | 4.45237i | −0.929362 | − | 0.197542i | ||||
\(509\) | −0.670530 | + | 6.37967i | −0.0297207 | + | 0.282774i | 0.969560 | + | 0.244854i | \(0.0787399\pi\) |
−0.999281 | + | 0.0379202i | \(0.987927\pi\) | |||||||
\(510\) | −0.693720 | − | 1.02992i | −0.0307184 | − | 0.0456056i | ||||
\(511\) | −0.876842 | − | 8.34260i | −0.0387892 | − | 0.369055i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −2.55786 | + | 13.1045i | −0.112932 | + | 0.578578i | ||||
\(514\) | −3.02272 | + | 2.19613i | −0.133326 | + | 0.0968672i | ||||
\(515\) | −25.8002 | − | 9.40943i | −1.13689 | − | 0.414629i | ||||
\(516\) | 4.13540 | − | 1.84120i | 0.182051 | − | 0.0810543i | ||||
\(517\) | 19.0007 | − | 21.1024i | 0.835648 | − | 0.928081i | ||||
\(518\) | 1.05113 | − | 1.82060i | 0.0461838 | − | 0.0799927i | ||||
\(519\) | 1.78002 | − | 1.97691i | 0.0781343 | − | 0.0867769i | ||||
\(520\) | 0.770399 | + | 4.38576i | 0.0337842 | + | 0.192328i | ||||
\(521\) | −12.5378 | + | 38.5872i | −0.549289 | + | 1.69054i | 0.161279 | + | 0.986909i | \(0.448438\pi\) |
−0.710568 | + | 0.703629i | \(0.751562\pi\) | |||||||
\(522\) | 19.8503 | − | 4.21931i | 0.868824 | − | 0.184674i | ||||
\(523\) | 5.32117 | + | 2.36914i | 0.232678 | + | 0.103595i | 0.519764 | − | 0.854310i | \(-0.326020\pi\) |
−0.287086 | + | 0.957905i | \(0.592686\pi\) | |||||||
\(524\) | 16.2519 | 0.709969 | ||||||||
\(525\) | −1.07429 | − | 1.37871i | −0.0468859 | − | 0.0601717i | ||||
\(526\) | −2.04717 | − | 3.54581i | −0.0892611 | − | 0.154605i | ||||
\(527\) | −0.967563 | − | 9.20575i | −0.0421477 | − | 0.401009i | ||||
\(528\) | 1.91640 | − | 0.407343i | 0.0834006 | − | 0.0177273i | ||||
\(529\) | −9.83979 | − | 10.9282i | −0.427817 | − | 0.475139i | ||||
\(530\) | 24.1227 | − | 6.90016i | 1.04782 | − | 0.299724i | ||||
\(531\) | −0.244853 | − | 0.753579i | −0.0106257 | − | 0.0327025i | ||||
\(532\) | 1.63171 | − | 2.32646i | 0.0707436 | − | 0.100865i | ||||
\(533\) | 2.90084 | + | 8.92788i | 0.125650 | + | 0.386709i | ||||
\(534\) | −3.59406 | + | 1.60018i | −0.155530 | + | 0.0692464i | ||||
\(535\) | 0.973052 | − | 27.3565i | 0.0420687 | − | 1.18273i | ||||
\(536\) | −1.80520 | − | 0.803725i | −0.0779726 | − | 0.0347156i | ||||
\(537\) | 3.57463 | − | 1.59153i | 0.154257 | − | 0.0686795i | ||||
\(538\) | 1.87304 | − | 17.8208i | 0.0807526 | − | 0.768310i | ||||
\(539\) | 19.4355 | − | 14.1207i | 0.837147 | − | 0.608223i | ||||
\(540\) | 4.92392 | + | 4.76114i | 0.211892 | + | 0.204887i | ||||
\(541\) | 2.89912 | − | 27.5833i | 0.124643 | − | 1.18590i | −0.736105 | − | 0.676868i | \(-0.763337\pi\) |
0.860748 | − | 0.509032i | \(-0.169996\pi\) | |||||||
\(542\) | −0.596731 | + | 0.662737i | −0.0256318 | + | 0.0284670i | ||||
\(543\) | 2.86563 | 0.122976 | ||||||||
\(544\) | −0.320035 | − | 0.984967i | −0.0137214 | − | 0.0422301i | ||||
\(545\) | 17.1269 | + | 42.4698i | 0.733636 | + | 1.81920i | ||||
\(546\) | −0.465802 | − | 0.517325i | −0.0199345 | − | 0.0221395i | ||||
\(547\) | 10.7560 | − | 2.28626i | 0.459894 | − | 0.0977536i | 0.0278622 | − | 0.999612i | \(-0.491130\pi\) |
0.432032 | + | 0.901858i | \(0.357797\pi\) | |||||||
\(548\) | −1.21372 | − | 11.5477i | −0.0518474 | − | 0.493295i | ||||
\(549\) | −12.3060 | + | 21.3147i | −0.525209 | + | 0.909689i | ||||
\(550\) | −11.2288 | − | 14.4106i | −0.478798 | − | 0.614472i | ||||
\(551\) | −18.7262 | + | 26.6994i | −0.797761 | + | 1.13743i | ||||
\(552\) | −1.24938 | + | 0.907731i | −0.0531774 | + | 0.0386356i | ||||
\(553\) | 0.310653 | + | 0.345015i | 0.0132103 | + | 0.0146716i | ||||
\(554\) | −3.51801 | − | 3.90714i | −0.149466 | − | 0.165999i | ||||
\(555\) | −3.85725 | + | 0.267214i | −0.163731 | + | 0.0113426i | ||||
\(556\) | 18.9493 | + | 4.02779i | 0.803628 | + | 0.170816i | ||||
\(557\) | −22.5923 | − | 39.1311i | −0.957269 | − | 1.65804i | −0.729089 | − | 0.684419i | \(-0.760056\pi\) |
−0.228179 | − | 0.973619i | \(-0.573277\pi\) | |||||||
\(558\) | 7.49165 | + | 23.0569i | 0.317147 | + | 0.976077i | ||||
\(559\) | −13.6008 | − | 9.88157i | −0.575253 | − | 0.417946i | ||||
\(560\) | −0.545200 | − | 1.35194i | −0.0230389 | − | 0.0571297i | ||||
\(561\) | 1.85365 | + | 0.825297i | 0.0782611 | + | 0.0348441i | ||||
\(562\) | 13.2610 | + | 9.63467i | 0.559381 | + | 0.406414i | ||||
\(563\) | −0.0282215 | − | 0.0205041i | −0.00118940 | − | 0.000864146i | 0.587190 | − | 0.809449i | \(-0.300234\pi\) |
−0.588380 | + | 0.808585i | \(0.700234\pi\) | |||||||
\(564\) | −3.80702 | − | 1.69499i | −0.160304 | − | 0.0713721i | ||||
\(565\) | −24.4938 | + | 31.3088i | −1.03046 | + | 1.31717i | ||||
\(566\) | 0.656945 | − | 6.25041i | 0.0276135 | − | 0.262725i | ||||
\(567\) | 4.14162 | + | 0.880330i | 0.173932 | + | 0.0369704i | ||||
\(568\) | 4.54731 | − | 7.87617i | 0.190801 | − | 0.330477i | ||||
\(569\) | −9.19418 | − | 28.2968i | −0.385440 | − | 1.18626i | −0.936160 | − | 0.351573i | \(-0.885647\pi\) |
0.550720 | − | 0.834690i | \(-0.314353\pi\) | |||||||
\(570\) | −5.22545 | − | 0.0986720i | −0.218870 | − | 0.00413292i | ||||
\(571\) | −7.89001 | + | 24.2830i | −0.330187 | + | 1.01621i | 0.638858 | + | 0.769325i | \(0.279407\pi\) |
−0.969045 | + | 0.246885i | \(0.920593\pi\) | |||||||
\(572\) | −4.86869 | − | 5.40723i | −0.203570 | − | 0.226088i | ||||
\(573\) | −0.0997464 | − | 0.949023i | −0.00416696 | − | 0.0396460i | ||||
\(574\) | −1.53654 | − | 2.66137i | −0.0641341 | − | 0.111084i | ||||
\(575\) | 12.7059 | + | 6.77696i | 0.529872 | + | 0.282619i | ||||
\(576\) | 1.35624 | + | 2.34907i | 0.0565099 | + | 0.0978779i | ||||
\(577\) | −2.18486 | + | 1.58739i | −0.0909567 | + | 0.0660839i | −0.632334 | − | 0.774696i | \(-0.717903\pi\) |
0.541377 | + | 0.840780i | \(0.317903\pi\) | |||||||
\(578\) | −4.92184 | + | 15.1479i | −0.204722 | + | 0.630068i | ||||
\(579\) | 1.09465 | − | 0.232674i | 0.0454919 | − | 0.00966961i | ||||
\(580\) | 6.25692 | + | 15.5154i | 0.259805 | + | 0.644240i | ||||
\(581\) | 3.09458 | + | 9.52413i | 0.128385 | + | 0.395127i | ||||
\(582\) | −1.45628 | −0.0603646 | ||||||||
\(583\) | −27.4329 | + | 30.4673i | −1.13615 | + | 1.26183i | ||||
\(584\) | −11.7551 | + | 5.23369i | −0.486428 | + | 0.216572i | ||||
\(585\) | 2.92962 | − | 11.7177i | 0.121125 | − | 0.484468i | ||||
\(586\) | 0.357242 | + | 3.39893i | 0.0147575 | + | 0.140409i | ||||
\(587\) | 11.6745 | − | 5.19783i | 0.481859 | − | 0.214538i | −0.151407 | − | 0.988471i | \(-0.548380\pi\) |
0.633266 | + | 0.773934i | \(0.281714\pi\) | |||||||
\(588\) | −2.85229 | − | 2.07231i | −0.117626 | − | 0.0854605i | ||||
\(589\) | −34.0595 | − | 18.9142i | −1.40340 | − | 0.779346i | ||||
\(590\) | 0.576934 | − | 0.306282i | 0.0237520 | − | 0.0126094i | ||||
\(591\) | 3.07558 | − | 1.36934i | 0.126513 | − | 0.0563270i | ||||
\(592\) | −3.15426 | − | 0.670458i | −0.129639 | − | 0.0275556i | ||||
\(593\) | −1.68519 | − | 2.91883i | −0.0692025 | − | 0.119862i | 0.829348 | − | 0.558732i | \(-0.188712\pi\) |
−0.898550 | + | 0.438870i | \(0.855379\pi\) | |||||||
\(594\) | −10.9474 | − | 2.32694i | −0.449176 | − | 0.0954754i | ||||
\(595\) | 0.366180 | − | 1.46462i | 0.0150119 | − | 0.0600437i | ||||
\(596\) | −6.49416 | + | 19.9870i | −0.266011 | + | 0.818698i | ||||
\(597\) | −2.21049 | + | 6.80320i | −0.0904695 | + | 0.278436i | ||||
\(598\) | 5.23948 | + | 2.33277i | 0.214258 | + | 0.0953940i | ||||
\(599\) | 5.11356 | + | 8.85694i | 0.208934 | + | 0.361885i | 0.951379 | − | 0.308022i | \(-0.0996672\pi\) |
−0.742445 | + | 0.669907i | \(0.766334\pi\) | |||||||
\(600\) | −1.50212 | + | 2.22077i | −0.0613237 | + | 0.0906625i | ||||
\(601\) | 31.3965 | 1.28069 | 0.640345 | − | 0.768087i | \(-0.278791\pi\) | ||||
0.640345 | + | 0.768087i | \(0.278791\pi\) | |||||||
\(602\) | 5.02771 | + | 2.23848i | 0.204914 | + | 0.0912337i | ||||
\(603\) | 3.58650 | + | 3.98321i | 0.146053 | + | 0.162209i | ||||
\(604\) | 19.8083 | − | 4.21038i | 0.805987 | − | 0.171318i | ||||
\(605\) | 4.93691 | + | 1.80051i | 0.200714 | + | 0.0732012i | ||||
\(606\) | −3.23625 | − | 0.687886i | −0.131464 | − | 0.0279435i | ||||
\(607\) | 6.29858 | 0.255651 | 0.127826 | − | 0.991797i | \(-0.459200\pi\) | ||||
0.127826 | + | 0.991797i | \(0.459200\pi\) | |||||||
\(608\) | −4.16744 | − | 1.27767i | −0.169012 | − | 0.0518163i | ||||
\(609\) | −2.11586 | − | 1.53726i | −0.0857388 | − | 0.0622929i | ||||
\(610\) | −19.0612 | − | 6.95171i | −0.771767 | − | 0.281466i | ||||
\(611\) | 1.61774 | + | 15.3918i | 0.0654468 | + | 0.622684i | ||||
\(612\) | −0.293640 | + | 2.79380i | −0.0118697 | + | 0.112933i | ||||
\(613\) | 18.0491 | − | 8.03598i | 0.728996 | − | 0.324570i | −0.00846066 | − | 0.999964i | \(-0.502693\pi\) |
0.737457 | + | 0.675394i | \(0.236026\pi\) | |||||||
\(614\) | 10.7967 | + | 4.80700i | 0.435719 | + | 0.193995i | ||||
\(615\) | −2.48099 | + | 5.07844i | −0.100043 | + | 0.204782i | ||||
\(616\) | 1.92705 | + | 1.40008i | 0.0776429 | + | 0.0564108i | ||||
\(617\) | 17.2695 | − | 19.1798i | 0.695245 | − | 0.772148i | −0.287367 | − | 0.957821i | \(-0.592780\pi\) |
0.982612 | + | 0.185673i | \(0.0594465\pi\) | |||||||
\(618\) | −3.29279 | − | 5.70328i | −0.132455 | − | 0.229420i | ||||
\(619\) | −4.79056 | − | 14.7438i | −0.192549 | − | 0.592604i | −0.999996 | − | 0.00266483i | \(-0.999152\pi\) |
0.807448 | − | 0.589939i | \(-0.200848\pi\) | |||||||
\(620\) | −17.6522 | + | 9.37118i | −0.708929 | + | 0.376356i | ||||
\(621\) | 8.62913 | − | 1.83418i | 0.346275 | − | 0.0736031i | ||||
\(622\) | 6.09708 | + | 6.77149i | 0.244470 | + | 0.271512i | ||||
\(623\) | −4.36956 | − | 1.94545i | −0.175063 | − | 0.0779429i | ||||
\(624\) | −0.533910 | + | 0.924760i | −0.0213735 | + | 0.0370200i | ||||
\(625\) | 24.7476 | + | 3.54345i | 0.989904 | + | 0.141738i | ||||
\(626\) | 0.652542 | 0.0260808 | ||||||||
\(627\) | 7.32365 | − | 4.39272i | 0.292478 | − | 0.175428i | ||||
\(628\) | −7.24161 | + | 22.2874i | −0.288972 | + | 0.889364i | ||||
\(629\) | −2.23470 | − | 2.48188i | −0.0891033 | − | 0.0989592i | ||||
\(630\) | −0.140554 | + | 3.95155i | −0.00559980 | + | 0.157434i | ||||
\(631\) | −30.6193 | + | 34.0062i | −1.21894 | + | 1.35376i | −0.302720 | + | 0.953080i | \(0.597895\pi\) |
−0.916216 | + | 0.400685i | \(0.868772\pi\) | |||||||
\(632\) | 0.356076 | − | 0.616742i | 0.0141640 | − | 0.0245327i | ||||
\(633\) | −7.99311 | + | 8.87725i | −0.317698 | + | 0.352839i | ||||
\(634\) | 17.1959 | + | 12.4936i | 0.682938 | + | 0.496184i | ||||
\(635\) | −21.0192 | + | 43.0249i | −0.834120 | + | 1.70739i | ||||
\(636\) | 5.49652 | + | 2.44721i | 0.217951 | + | 0.0970380i | ||||
\(637\) | −1.36864 | + | 13.0218i | −0.0542275 | + | 0.515941i | ||||
\(638\) | −22.1155 | − | 16.0679i | −0.875562 | − | 0.636133i | ||||
\(639\) | −19.9576 | + | 14.5000i | −0.789509 | + | 0.573612i | ||||
\(640\) | −1.71386 | + | 1.43621i | −0.0677462 | + | 0.0567711i | ||||
\(641\) | 13.3077 | − | 5.92499i | 0.525624 | − | 0.234023i | −0.126730 | − | 0.991937i | \(-0.540448\pi\) |
0.652354 | + | 0.757914i | \(0.273781\pi\) | |||||||
\(642\) | 4.39239 | − | 4.87824i | 0.173354 | − | 0.192529i | ||||
\(643\) | 8.88429 | − | 15.3880i | 0.350362 | − | 0.606845i | −0.635951 | − | 0.771730i | \(-0.719392\pi\) |
0.986313 | + | 0.164885i | \(0.0527252\pi\) | |||||||
\(644\) | −1.83652 | − | 0.390364i | −0.0723690 | − | 0.0153825i | ||||
\(645\) | −1.75124 | − | 9.96950i | −0.0689548 | − | 0.392549i | ||||
\(646\) | −2.71397 | − | 3.60741i | −0.106780 | − | 0.141932i | ||||
\(647\) | −4.55364 | + | 14.0147i | −0.179022 | + | 0.550973i | −0.999794 | − | 0.0202823i | \(-0.993543\pi\) |
0.820772 | + | 0.571256i | \(0.193543\pi\) | |||||||
\(648\) | −0.678905 | − | 6.45935i | −0.0266699 | − | 0.253747i | ||||
\(649\) | −0.533666 | + | 0.924336i | −0.0209482 | + | 0.0362834i | ||||
\(650\) | 9.93185 | + | 0.707432i | 0.389559 | + | 0.0277478i | ||||
\(651\) | 1.56218 | − | 2.70577i | 0.0612266 | − | 0.106048i | ||||
\(652\) | −0.639084 | − | 0.284538i | −0.0250285 | − | 0.0111434i | ||||
\(653\) | 14.4213 | − | 44.3843i | 0.564350 | − | 1.73689i | −0.105523 | − | 0.994417i | \(-0.533652\pi\) |
0.669874 | − | 0.742475i | \(-0.266348\pi\) | |||||||
\(654\) | −3.39342 | + | 10.4439i | −0.132693 | + | 0.408387i | ||||
\(655\) | 8.81438 | − | 35.2552i | 0.344406 | − | 1.37754i | ||||
\(656\) | −3.15423 | + | 3.50313i | −0.123152 | + | 0.136774i | ||||
\(657\) | 34.9028 | 1.36169 | ||||||||
\(658\) | −1.56563 | − | 4.81852i | −0.0610347 | − | 0.187845i | ||||
\(659\) | −1.19008 | + | 11.3228i | −0.0463587 | + | 0.441074i | 0.946582 | + | 0.322463i | \(0.104511\pi\) |
−0.992941 | + | 0.118611i | \(0.962156\pi\) | |||||||
\(660\) | 0.155728 | − | 4.37816i | 0.00606171 | − | 0.170420i | ||||
\(661\) | −2.01836 | − | 0.898632i | −0.0785051 | − | 0.0349527i | 0.367108 | − | 0.930178i | \(-0.380348\pi\) |
−0.445614 | + | 0.895225i | \(0.647014\pi\) | |||||||
\(662\) | −16.6270 | + | 7.40282i | −0.646227 | + | 0.287719i | ||||
\(663\) | −1.01028 | + | 0.449808i | −0.0392362 | + | 0.0174691i | ||||
\(664\) | 12.4275 | − | 9.02913i | 0.482282 | − | 0.350398i | ||||
\(665\) | −4.16181 | − | 4.80144i | −0.161388 | − | 0.186192i | ||||
\(666\) | 7.07645 | + | 5.14134i | 0.274207 | + | 0.199223i | ||||
\(667\) | 21.0766 | + | 4.47997i | 0.816090 | + | 0.173465i | ||||
\(668\) | −11.3452 | + | 19.6505i | −0.438959 | + | 0.760300i | ||||
\(669\) | −0.341930 | + | 0.379752i | −0.0132198 | + | 0.0146821i | ||||
\(670\) | −2.72258 | + | 3.48010i | −0.105182 | + | 0.134448i | ||||
\(671\) | 32.4287 | − | 6.89293i | 1.25190 | − | 0.266099i | ||||
\(672\) | 0.108022 | − | 0.332459i | 0.00416705 | − | 0.0128249i | ||||
\(673\) | 7.32214 | − | 5.31985i | 0.282248 | − | 0.205065i | −0.437649 | − | 0.899146i | \(-0.644189\pi\) |
0.719897 | + | 0.694081i | \(0.244189\pi\) | |||||||
\(674\) | 14.5085 | + | 25.1295i | 0.558848 | + | 0.967953i | ||||
\(675\) | 12.9989 | − | 8.09919i | 0.500326 | − | 0.311738i | ||||
\(676\) | −9.03432 | −0.347474 | ||||||||
\(677\) | 5.95167 | − | 4.32414i | 0.228741 | − | 0.166190i | −0.467511 | − | 0.883987i | \(-0.654849\pi\) |
0.696253 | + | 0.717797i | \(0.254849\pi\) | |||||||
\(678\) | −9.32423 | + | 1.98193i | −0.358095 | + | 0.0761155i | ||||
\(679\) | −1.18470 | − | 1.31574i | −0.0454645 | − | 0.0504934i | ||||
\(680\) | −2.31026 | + | 0.160046i | −0.0885944 | + | 0.00613746i | ||||
\(681\) | 8.06914 | + | 1.71515i | 0.309210 | + | 0.0657247i | ||||
\(682\) | 16.3283 | − | 28.2815i | 0.625244 | − | 1.08295i | ||||
\(683\) | −8.62702 | − | 26.5512i | −0.330104 | − | 1.01596i | −0.969084 | − | 0.246732i | \(-0.920643\pi\) |
0.638980 | − | 0.769223i | \(-0.279357\pi\) | |||||||
\(684\) | 8.91718 | + | 7.76380i | 0.340957 | + | 0.296856i | ||||
\(685\) | −25.7087 | − | 3.63011i | −0.982280 | − | 0.138699i | ||||
\(686\) | −0.925053 | − | 8.80129i | −0.0353187 | − | 0.336035i | ||||
\(687\) | 3.76848 | − | 1.67784i | 0.143777 | − | 0.0640134i | ||||
\(688\) | 0.882435 | − | 8.39581i | 0.0336425 | − | 0.320087i | ||||
\(689\) | −2.33567 | − | 22.2224i | −0.0889819 | − | 0.846607i | ||||
\(690\) | 1.29152 | + | 3.20260i | 0.0491674 | + | 0.121921i | ||||
\(691\) | −19.8428 | − | 14.4166i | −0.754856 | − | 0.548435i | 0.142472 | − | 0.989799i | \(-0.454495\pi\) |
−0.897328 | + | 0.441364i | \(0.854495\pi\) | |||||||
\(692\) | −1.53305 | − | 4.71826i | −0.0582780 | − | 0.179361i | ||||
\(693\) | −3.23050 | − | 5.59539i | −0.122717 | − | 0.212551i | ||||
\(694\) | 23.5852 | − | 26.1940i | 0.895281 | − | 0.994310i | ||||
\(695\) | 19.0148 | − | 38.9221i | 0.721272 | − | 1.47640i | ||||
\(696\) | −1.23971 | + | 3.81542i | −0.0469910 | + | 0.144623i | ||||
\(697\) | −4.77532 | + | 1.01503i | −0.180878 | + | 0.0384469i | ||||
\(698\) | −1.81988 | − | 17.3150i | −0.0688836 | − | 0.655384i | ||||
\(699\) | −0.878208 | − | 1.52110i | −0.0332169 | − | 0.0575333i | ||||
\(700\) | −3.22845 | + | 0.449464i | −0.122024 | + | 0.0169882i | ||||
\(701\) | 2.07404 | − | 3.59234i | 0.0783353 | − | 0.135681i | −0.824197 | − | 0.566304i | \(-0.808373\pi\) |
0.902532 | + | 0.430623i | \(0.141706\pi\) | |||||||
\(702\) | 4.93492 | − | 3.58543i | 0.186257 | − | 0.135323i | ||||
\(703\) | −13.9528 | + | 1.70215i | −0.526240 | + | 0.0641977i | ||||
\(704\) | 1.12908 | − | 3.47495i | 0.0425538 | − | 0.130967i | ||||
\(705\) | −5.74171 | + | 7.33925i | −0.216245 | + | 0.276412i | ||||
\(706\) | 16.3068 | + | 3.46611i | 0.613714 | + | 0.130449i | ||||
\(707\) | −2.01122 | − | 3.48354i | −0.0756398 | − | 0.131012i | ||||
\(708\) | 0.153215 | + | 0.0325668i | 0.00575816 | + | 0.00122394i | ||||
\(709\) | 0.843992 | − | 8.03004i | 0.0316968 | − | 0.301575i | −0.967176 | − | 0.254107i | \(-0.918218\pi\) |
0.998873 | − | 0.0474673i | \(-0.0151150\pi\) | |||||||
\(710\) | −14.6195 | − | 14.1362i | −0.548659 | − | 0.530521i | ||||
\(711\) | −1.56277 | + | 1.13542i | −0.0586086 | + | 0.0425817i | ||||
\(712\) | −0.766920 | + | 7.29676i | −0.0287415 | + | 0.273457i | ||||
\(713\) | −2.69069 | + | 25.6002i | −0.100767 | + | 0.958735i | ||||
\(714\) | 0.292890 | − | 0.212797i | 0.0109611 | − | 0.00796372i | ||||
\(715\) | −14.3705 | + | 7.62897i | −0.537425 | + | 0.285307i | ||||
\(716\) | 0.762775 | − | 7.25732i | 0.0285062 | − | 0.271219i | ||||
\(717\) | −9.61407 | − | 2.04353i | −0.359044 | − | 0.0763171i | ||||
\(718\) | −7.12462 | − | 12.3402i | −0.265888 | − | 0.460532i | ||||
\(719\) | 4.41316 | + | 0.938046i | 0.164583 | + | 0.0349832i | 0.289466 | − | 0.957188i | \(-0.406522\pi\) |
−0.124883 | + | 0.992171i | \(0.539856\pi\) | |||||||
\(720\) | 5.83140 | − | 1.66804i | 0.217323 | − | 0.0621642i | ||||
\(721\) | 2.47417 | − | 7.61470i | 0.0921428 | − | 0.283586i | ||||
\(722\) | −18.9894 | + | 0.633477i | −0.706714 | + | 0.0235756i | ||||
\(723\) | −1.86832 | + | 1.35742i | −0.0694837 | + | 0.0504829i | ||||
\(724\) | 2.67209 | − | 4.62820i | 0.0993075 | − | 0.172006i | ||||
\(725\) | 37.0509 | − | 5.15823i | 1.37604 | − | 0.191572i | ||||
\(726\) | 0.630081 | + | 1.09133i | 0.0233845 | + | 0.0405031i | ||||
\(727\) | −1.84890 | − | 17.5911i | −0.0685720 | − | 0.652419i | −0.973787 | − | 0.227464i | \(-0.926957\pi\) |
0.905215 | − | 0.424955i | \(-0.139710\pi\) | |||||||
\(728\) | −1.26986 | + | 0.269917i | −0.0470641 | + | 0.0100038i | ||||
\(729\) | −3.92138 | + | 12.0688i | −0.145236 | + | 0.446991i | ||||
\(730\) | 4.97797 | + | 28.3388i | 0.184243 | + | 1.04886i | ||||
\(731\) | 5.85025 | − | 6.49736i | 0.216379 | − | 0.240314i | ||||
\(732\) | −2.43272 | − | 4.21359i | −0.0899159 | − | 0.155739i | ||||
\(733\) | 7.09440 | + | 21.8343i | 0.262038 | + | 0.806469i | 0.992361 | + | 0.123367i | \(0.0393693\pi\) |
−0.730324 | + | 0.683101i | \(0.760631\pi\) | |||||||
\(734\) | −22.3061 | − | 16.2064i | −0.823334 | − | 0.598187i | ||||
\(735\) | −6.04241 | + | 5.06352i | −0.222878 | + | 0.186771i | ||||
\(736\) | 0.301047 | + | 2.86427i | 0.0110967 | + | 0.105578i | ||||
\(737\) | 0.754694 | − | 7.18044i | 0.0277995 | − | 0.264495i | ||||
\(738\) | 11.6810 | − | 5.20070i | 0.429982 | − | 0.191440i | ||||
\(739\) | −0.968624 | − | 9.21585i | −0.0356314 | − | 0.339010i | −0.997786 | − | 0.0665061i | \(-0.978815\pi\) |
0.962155 | − | 0.272504i | \(-0.0878519\pi\) | |||||||
\(740\) | −3.16516 | + | 6.47889i | −0.116354 | + | 0.238169i | ||||
\(741\) | −0.891687 | + | 4.56831i | −0.0327569 | + | 0.167821i | ||||
\(742\) | 2.26044 | + | 6.95691i | 0.0829832 | + | 0.255396i | ||||
\(743\) | 8.67461 | − | 15.0249i | 0.318240 | − | 0.551209i | −0.661881 | − | 0.749609i | \(-0.730241\pi\) |
0.980121 | + | 0.198401i | \(0.0635747\pi\) | |||||||
\(744\) | −4.68784 | − | 0.996432i | −0.171865 | − | 0.0365310i | ||||
\(745\) | 39.8355 | + | 24.9279i | 1.45946 | + | 0.913286i | ||||
\(746\) | 17.1997 | + | 19.1022i | 0.629727 | + | 0.699383i | ||||
\(747\) | −40.7565 | + | 8.66306i | −1.49120 | + | 0.316965i | ||||
\(748\) | 3.06137 | − | 2.22421i | 0.111935 | − | 0.0813253i | ||||
\(749\) | 7.98073 | 0.291610 | ||||||||
\(750\) | 4.00282 | + | 4.46299i | 0.146162 | + | 0.162965i | ||||
\(751\) | −7.62882 | − | 13.2135i | −0.278380 | − | 0.482168i | 0.692603 | − | 0.721319i | \(-0.256464\pi\) |
−0.970982 | + | 0.239152i | \(0.923131\pi\) | |||||||
\(752\) | −6.28743 | + | 4.56808i | −0.229279 | + | 0.166581i | ||||
\(753\) | 4.35915 | − | 13.4161i | 0.158856 | − | 0.488909i | ||||
\(754\) | 14.5734 | − | 3.09767i | 0.530732 | − | 0.112810i | ||||
\(755\) | 1.60963 | − | 45.2535i | 0.0585806 | − | 1.64694i | ||||
\(756\) | −1.33618 | + | 1.48398i | −0.0485965 | + | 0.0539719i | ||||
\(757\) | 17.0273 | − | 29.4921i | 0.618866 | − | 1.07191i | −0.370827 | − | 0.928702i | \(-0.620926\pi\) |
0.989693 | − | 0.143205i | \(-0.0457409\pi\) | |||||||
\(758\) | 2.52858 | + | 0.537467i | 0.0918423 | + | 0.0195217i | ||||
\(759\) | −4.56498 | − | 3.31665i | −0.165698 | − | 0.120387i | ||||
\(760\) | −5.03189 | + | 8.34746i | −0.182526 | + | 0.302794i | ||||
\(761\) | 28.7634 | − | 20.8978i | 1.04267 | − | 0.757545i | 0.0718657 | − | 0.997414i | \(-0.477105\pi\) |
0.970805 | + | 0.239870i | \(0.0771047\pi\) | |||||||
\(762\) | −10.4902 | + | 4.67052i | −0.380018 | + | 0.169195i | ||||
\(763\) | −12.1966 | + | 5.43026i | −0.441545 | + | 0.196589i | ||||
\(764\) | −1.62575 | − | 0.723830i | −0.0588175 | − | 0.0261873i | ||||
\(765\) | 5.90132 | + | 2.15223i | 0.213363 | + | 0.0778142i | ||||
\(766\) | 0.432137 | − | 4.11150i | 0.0156137 | − | 0.148555i | ||||
\(767\) | −0.179762 | − | 0.553251i | −0.00649083 | − | 0.0199767i | ||||
\(768\) | −0.536215 | −0.0193490 | ||||||||
\(769\) | 24.1664 | − | 26.8395i | 0.871462 | − | 0.967856i | −0.128253 | − | 0.991741i | \(-0.540937\pi\) |
0.999715 | + | 0.0238851i | \(0.00760359\pi\) | |||||||
\(770\) | 4.08234 | − | 3.42099i | 0.147117 | − | 0.123284i | ||||
\(771\) | −0.619101 | + | 1.90540i | −0.0222964 | + | 0.0686212i | ||||
\(772\) | 0.644930 | − | 1.98489i | 0.0232115 | − | 0.0714377i | ||||
\(773\) | −50.2240 | − | 22.3611i | −1.80643 | − | 0.804275i | −0.964209 | − | 0.265142i | \(-0.914581\pi\) |
−0.842221 | − | 0.539133i | \(-0.818752\pi\) | |||||||
\(774\) | −11.4494 | + | 19.8310i | −0.411541 | + | 0.712810i | ||||
\(775\) | 10.7550 | + | 43.3754i | 0.386332 | + | 1.55809i | ||||
\(776\) | −1.35792 | + | 2.35199i | −0.0487465 | + | 0.0844314i | ||||
\(777\) | −0.117831 | − | 1.12108i | −0.00422715 | − | 0.0402187i | ||||
\(778\) | −5.73741 | + | 17.6579i | −0.205696 | + | 0.633068i | ||||
\(779\) | −8.04331 | + | 18.9078i | −0.288182 | + | 0.677444i | ||||
\(780\) | 1.71651 | + | 1.65976i | 0.0614608 | + | 0.0594290i | ||||
\(781\) | 32.5036 | + | 6.90885i | 1.16307 | + | 0.247218i | ||||
\(782\) | −1.49137 | + | 2.58312i | −0.0533312 | + | 0.0923723i | ||||
\(783\) | 15.3346 | − | 17.0308i | 0.548013 | − | 0.608630i | ||||
\(784\) | −6.00657 | + | 2.67430i | −0.214520 | + | 0.0955106i | ||||
\(785\) | 44.4204 | + | 27.7970i | 1.58543 | + | 0.992117i | ||||
\(786\) | 7.05020 | − | 5.12227i | 0.251472 | − | 0.182705i | ||||
\(787\) | 18.0036 | + | 13.0804i | 0.641760 | + | 0.466266i | 0.860454 | − | 0.509528i | \(-0.170180\pi\) |
−0.218694 | + | 0.975793i | \(0.570180\pi\) | |||||||
\(788\) | 0.656285 | − | 6.24413i | 0.0233792 | − | 0.222438i | ||||
\(789\) | −2.00565 | − | 0.892971i | −0.0714029 | − | 0.0317906i | ||||
\(790\) | −1.14478 | − | 1.10693i | −0.0407293 | − | 0.0393828i | ||||
\(791\) | −9.37603 | − | 6.81209i | −0.333373 | − | 0.242210i | ||||
\(792\) | −6.63161 | + | 7.36514i | −0.235644 | + | 0.261709i | ||||
\(793\) | −9.03466 | + | 15.6485i | −0.320830 | + | 0.555694i | ||||
\(794\) | 4.01216 | − | 4.45595i | 0.142386 | − | 0.158136i | ||||
\(795\) | 8.28980 | − | 10.5963i | 0.294009 | − | 0.375812i | ||||
\(796\) | 8.92645 | + | 9.91382i | 0.316389 | + | 0.351386i | ||||
\(797\) | 7.90529 | − | 24.3300i | 0.280020 | − | 0.861813i | −0.707827 | − | 0.706385i | \(-0.750325\pi\) |
0.987847 | − | 0.155427i | \(-0.0496754\pi\) | |||||||
\(798\) | −0.0254048 | − | 1.52352i | −0.000899320 | − | 0.0539320i | ||||
\(799\) | −8.04879 | −0.284746 | ||||||||
\(800\) | 2.18603 | + | 4.49681i | 0.0772879 | + | 0.158986i | ||||
\(801\) | 9.95064 | − | 17.2350i | 0.351589 | − | 0.608969i | ||||
\(802\) | 11.4408 | + | 5.09377i | 0.403989 | + | 0.179867i | ||||
\(803\) | −31.4592 | − | 34.9390i | −1.11017 | − | 1.23297i | ||||
\(804\) | −1.03642 | + | 0.220299i | −0.0365519 | + | 0.00776934i | ||||
\(805\) | −1.84287 | + | 3.77224i | −0.0649526 | + | 0.132954i | ||||
\(806\) | 5.50010 | + | 16.9276i | 0.193733 | + | 0.596248i | ||||
\(807\) | −4.80421 | − | 8.32114i | −0.169116 | − | 0.292918i | ||||
\(808\) | −4.12866 | + | 4.58534i | −0.145246 | + | 0.161312i | ||||
\(809\) | −28.7014 | − | 20.8528i | −1.00909 | − | 0.733145i | −0.0450704 | − | 0.998984i | \(-0.514351\pi\) |
−0.964018 | + | 0.265838i | \(0.914351\pi\) | |||||||
\(810\) | −14.3805 | − | 2.03054i | −0.505278 | − | 0.0713459i | ||||
\(811\) | 19.1376 | + | 8.52062i | 0.672013 | + | 0.299199i | 0.714232 | − | 0.699909i | \(-0.246776\pi\) |
−0.0422193 | + | 0.999108i | \(0.513443\pi\) | |||||||
\(812\) | −4.45574 | + | 1.98382i | −0.156366 | + | 0.0696185i | ||||
\(813\) | −0.0499852 | + | 0.475577i | −0.00175306 | + | 0.0166792i | ||||
\(814\) | −1.23160 | − | 11.7179i | −0.0431675 | − | 0.410712i | ||||
\(815\) | −0.963861 | + | 1.23204i | −0.0337626 | + | 0.0431565i | ||||
\(816\) | −0.449275 | − | 0.326417i | −0.0157278 | − | 0.0114269i | ||||
\(817\) | −8.24980 | − | 35.8614i | −0.288624 | − | 1.25463i | ||||
\(818\) | 22.2216 | 0.776959 | ||||||||
\(819\) | 3.44446 | + | 0.732142i | 0.120359 | + | 0.0255831i | ||||
\(820\) | 5.88861 | + | 8.74243i | 0.205639 | + | 0.305299i | ||||
\(821\) | −52.3118 | + | 11.1192i | −1.82569 | + | 0.388063i | −0.987540 | − | 0.157369i | \(-0.949699\pi\) |
−0.838155 | + | 0.545433i | \(0.816365\pi\) | |||||||
\(822\) | −4.16613 | − | 4.62695i | −0.145310 | − | 0.161384i | ||||
\(823\) | 6.25237 | + | 2.78374i | 0.217944 | + | 0.0970349i | 0.512805 | − | 0.858505i | \(-0.328607\pi\) |
−0.294861 | + | 0.955540i | \(0.595273\pi\) | |||||||
\(824\) | −12.2816 | −0.427850 | ||||||||
\(825\) | −9.41308 | − | 2.71236i | −0.327721 | − | 0.0944321i | ||||
\(826\) | 0.0952180 | + | 0.164922i | 0.00331306 | + | 0.00573838i | ||||
\(827\) | 1.95054 | + | 0.868435i | 0.0678268 | + | 0.0301984i | 0.440370 | − | 0.897817i | \(-0.354847\pi\) |
−0.372543 | + | 0.928015i | \(0.621514\pi\) | |||||||
\(828\) | 2.41405 | − | 7.42970i | 0.0838942 | − | 0.258200i | ||||
\(829\) | 9.60239 | − | 29.5531i | 0.333505 | − | 1.02642i | −0.633949 | − | 0.773375i | \(-0.718567\pi\) |
0.967454 | − | 0.253047i | \(-0.0814328\pi\) | |||||||
\(830\) | −12.8467 | − | 31.8560i | −0.445914 | − | 1.10574i | ||||
\(831\) | −2.75759 | − | 0.586143i | −0.0956597 | − | 0.0203331i | ||||
\(832\) | 0.995701 | + | 1.72460i | 0.0345197 | + | 0.0597899i | ||||
\(833\) | −6.66064 | − | 1.41576i | −0.230777 | − | 0.0490533i | ||||
\(834\) | 9.48981 | − | 4.22514i | 0.328605 | − | 0.146305i | ||||
\(835\) | 36.4745 | + | 35.2687i | 1.26225 | + | 1.22053i | ||||
\(836\) | −0.265538 | − | 15.9242i | −0.00918383 | − | 0.550751i | ||||
\(837\) | 22.1488 | + | 16.0921i | 0.765575 | + | 0.556223i | ||||
\(838\) | −3.96989 | + | 1.76751i | −0.137137 | + | 0.0610575i | ||||
\(839\) | 0.623099 | + | 5.92839i | 0.0215118 | + | 0.204671i | 0.999999 | − | 0.00163827i | \(-0.000521478\pi\) |
−0.978487 | + | 0.206309i | \(0.933855\pi\) | |||||||
\(840\) | −0.662614 | − | 0.414644i | −0.0228624 | − | 0.0143066i | ||||
\(841\) | 24.6429 | − | 10.9717i | 0.849757 | − | 0.378336i | ||||
\(842\) | 11.0993 | − | 12.3270i | 0.382506 | − | 0.424816i | ||||
\(843\) | 8.78936 | 0.302722 | ||||||||
\(844\) | 6.88412 | + | 21.1871i | 0.236961 | + | 0.729291i | ||||
\(845\) | −4.89984 | + | 19.5981i | −0.168560 | + | 0.674196i | ||||
\(846\) | 20.6198 | − | 4.38288i | 0.708925 | − | 0.150687i | ||||
\(847\) | −0.473436 | + | 1.45709i | −0.0162675 | + | 0.0500661i | ||||
\(848\) | 9.07770 | − | 6.59533i | 0.311729 | − | 0.226485i | ||||
\(849\) | −1.68501 | − | 2.91853i | −0.0578296 | − | 0.100164i | ||||
\(850\) | −0.905804 | + | 5.09844i | −0.0310688 | + | 0.174875i | ||||
\(851\) | 4.64368 | + | 8.04308i | 0.159183 | + | 0.275713i | ||||
\(852\) | −0.509751 | − | 4.84996i | −0.0174638 | − | 0.166157i | ||||
\(853\) | −12.8917 | − | 14.3177i | −0.441404 | − | 0.490229i | 0.480856 | − | 0.876800i | \(-0.340326\pi\) |
−0.922260 | + | 0.386571i | \(0.873659\pi\) | |||||||
\(854\) | 1.82792 | − | 5.62576i | 0.0625501 | − | 0.192509i | ||||
\(855\) | 21.6783 | − | 15.1332i | 0.741382 | − | 0.517546i | ||||
\(856\) | −3.78297 | − | 11.6428i | −0.129299 | − | 0.397942i | ||||
\(857\) | 1.74471 | − | 3.02192i | 0.0595981 | − | 0.103227i | −0.834687 | − | 0.550725i | \(-0.814351\pi\) |
0.894285 | + | 0.447498i | \(0.147685\pi\) | |||||||
\(858\) | −3.81632 | − | 0.811184i | −0.130287 | − | 0.0276934i | ||||
\(859\) | −4.63273 | + | 44.0775i | −0.158067 | + | 1.50390i | 0.571844 | + | 0.820362i | \(0.306228\pi\) |
−0.729911 | + | 0.683542i | \(0.760439\pi\) | |||||||
\(860\) | −17.7344 | − | 6.46781i | −0.604738 | − | 0.220550i | ||||
\(861\) | −1.50537 | − | 0.670236i | −0.0513030 | − | 0.0228416i | ||||
\(862\) | −1.31013 | − | 0.951864i | −0.0446232 | − | 0.0324206i | ||||
\(863\) | 6.37771 | + | 4.63368i | 0.217100 | + | 0.157732i | 0.691020 | − | 0.722835i | \(-0.257162\pi\) |
−0.473920 | + | 0.880568i | \(0.657162\pi\) | |||||||
\(864\) | 2.79830 | + | 1.24588i | 0.0952000 | + | 0.0423857i | ||||
\(865\) | −11.0668 | + | 0.766661i | −0.376281 | + | 0.0260673i | ||||
\(866\) | −16.2291 | − | 11.7912i | −0.551489 | − | 0.400680i | ||||
\(867\) | 2.63917 | + | 8.12252i | 0.0896308 | + | 0.275855i | ||||
\(868\) | −2.91334 | − | 5.04606i | −0.0988853 | − | 0.171274i | ||||
\(869\) | 2.54519 | + | 0.540997i | 0.0863396 | + | 0.0183520i | ||||
\(870\) | 7.60442 | + | 4.75862i | 0.257814 | + | 0.161332i | ||||
\(871\) | 2.63308 | + | 2.92433i | 0.0892185 | + | 0.0990872i | ||||
\(872\) | 13.7033 | + | 15.2191i | 0.464053 | + | 0.515384i | ||||
\(873\) | 5.95974 | − | 4.33001i | 0.201707 | − | 0.146548i | ||||
\(874\) | 5.29660 | + | 11.3818i | 0.179160 | + | 0.384994i | ||||
\(875\) | −0.775954 | + | 7.24723i | −0.0262320 | + | 0.245001i | ||||
\(876\) | −3.44988 | + | 5.97537i | −0.116561 | + | 0.201889i | ||||
\(877\) | 2.43394 | + | 23.1574i | 0.0821883 | + | 0.781970i | 0.955536 | + | 0.294873i | \(0.0952774\pi\) |
−0.873348 | + | 0.487097i | \(0.838056\pi\) | |||||||
\(878\) | 17.9951 | − | 3.82497i | 0.607305 | − | 0.129087i | ||||
\(879\) | 1.22625 | + | 1.36189i | 0.0413603 | + | 0.0459353i | ||||
\(880\) | −6.92583 | − | 4.33398i | −0.233470 | − | 0.146098i | ||||
\(881\) | 7.08432 | + | 21.8033i | 0.238677 | + | 0.734572i | 0.996612 | + | 0.0822424i | \(0.0262082\pi\) |
−0.757935 | + | 0.652330i | \(0.773792\pi\) | |||||||
\(882\) | 17.8345 | 0.600520 | ||||||||
\(883\) | 24.5779 | − | 27.2965i | 0.827112 | − | 0.918601i | −0.170659 | − | 0.985330i | \(-0.554590\pi\) |
0.997771 | + | 0.0667295i | \(0.0212565\pi\) | |||||||
\(884\) | −0.215580 | + | 2.05111i | −0.00725075 | + | 0.0689862i | ||||
\(885\) | 0.153744 | − | 0.314705i | 0.00516806 | − | 0.0105787i | ||||
\(886\) | 4.04305 | − | 2.93745i | 0.135829 | − | 0.0986855i | ||||
\(887\) | −4.30586 | + | 40.9675i | −0.144577 | + | 1.37556i | 0.646068 | + | 0.763280i | \(0.276412\pi\) |
−0.790644 | + | 0.612275i | \(0.790254\pi\) | |||||||
\(888\) | −1.57965 | + | 0.703307i | −0.0530097 | + | 0.0236015i | ||||
\(889\) | −12.7537 | − | 5.67829i | −0.427744 | − | 0.190444i | ||||
\(890\) | 15.4129 | + | 5.62114i | 0.516641 | + | 0.188421i | ||||
\(891\) | 21.6794 | − | 9.65228i | 0.726287 | − | 0.323364i | ||||
\(892\) | 0.294489 | + | 0.906345i | 0.00986023 | + | 0.0303467i | ||||
\(893\) | −19.4521 | + | 27.7344i | −0.650940 | + | 0.928098i | ||||
\(894\) | 3.48227 | + | 10.7173i | 0.116464 | + | 0.358441i | ||||
\(895\) | −15.3296 | − | 5.59076i | −0.512411 | − | 0.186878i | ||||
\(896\) | −0.436217 | − | 0.484468i | −0.0145730 | − | 0.0161850i | ||||
\(897\) | 3.00817 | − | 0.639406i | 0.100440 | − | 0.0213491i | ||||
\(898\) | −0.399884 | − | 3.80464i | −0.0133443 | − | 0.126962i | ||||
\(899\) | 33.4346 | + | 57.9105i | 1.11511 | + | 1.93142i | ||||
\(900\) | −0.455762 | − | 13.5547i | −0.0151921 | − | 0.451824i | ||||
\(901\) | 11.6207 | 0.387143 | ||||||||
\(902\) | −15.7346 | − | 7.00549i | −0.523905 | − | 0.233257i | ||||
\(903\) | 2.88658 | − | 0.613562i | 0.0960594 | − | 0.0204181i | ||||
\(904\) | −5.49353 | + | 16.9074i | −0.182712 | + | 0.562330i | ||||
\(905\) | −8.59070 | − | 8.30671i | −0.285565 | − | 0.276124i | ||||
\(906\) | 7.26595 | − | 8.06965i | 0.241395 | − | 0.268096i | ||||
\(907\) | 13.2065 | − | 22.8742i | 0.438513 | − | 0.759527i | −0.559062 | − | 0.829126i | \(-0.688839\pi\) |
0.997575 | + | 0.0695989i | \(0.0221720\pi\) | |||||||
\(908\) | 10.2943 | − | 11.4329i | 0.341627 | − | 0.379415i | ||||
\(909\) | 15.2895 | − | 6.80733i | 0.507121 | − | 0.225785i | ||||
\(910\) | −0.103190 | + | 2.90109i | −0.00342070 | + | 0.0961702i | ||||
\(911\) | 20.0537 | − | 14.5699i | 0.664410 | − | 0.482722i | −0.203739 | − | 0.979025i | \(-0.565309\pi\) |
0.868149 | + | 0.496303i | \(0.165309\pi\) | |||||||
\(912\) | −2.21056 | + | 0.759230i | −0.0731990 | + | 0.0251406i | ||||
\(913\) | 45.4074 | + | 32.9904i | 1.50277 | + | 1.09182i | ||||
\(914\) | 2.92750 | + | 27.8533i | 0.0968332 | + | 0.921306i | ||||
\(915\) | −10.4599 | + | 2.99201i | −0.345795 | + | 0.0989128i | ||||
\(916\) | 0.804140 | − | 7.65088i | 0.0265695 | − | 0.252792i | ||||
\(917\) | 10.3634 | + | 2.20280i | 0.342229 | + | 0.0727429i | ||||
\(918\) | 1.58617 | + | 2.74732i | 0.0523513 | + | 0.0906751i | ||||
\(919\) | −8.21735 | − | 25.2904i | −0.271065 | − | 0.834253i | −0.990234 | − | 0.139417i | \(-0.955477\pi\) |
0.719168 | − | 0.694836i | \(-0.244523\pi\) | |||||||
\(920\) | 6.37672 | + | 0.900402i | 0.210234 | + | 0.0296854i | ||||
\(921\) | 6.19875 | − | 1.31759i | 0.204256 | − | 0.0434159i | ||||
\(922\) | −20.6857 | + | 4.39688i | −0.681246 | + | 0.144803i | ||||
\(923\) | −14.6521 | + | 10.6454i | −0.482281 | + | 0.350398i | ||||
\(924\) | 1.27724 | 0.0420182 | ||||||||
\(925\) | 12.3380 | + | 10.3801i | 0.405670 | + | 0.341294i | ||||
\(926\) | −10.4006 | + | 18.0144i | −0.341785 | + | 0.591989i | ||||
\(927\) | 30.4334 | + | 13.5498i | 0.999564 | + | 0.445034i | ||||
\(928\) | 5.00620 | + | 5.55995i | 0.164337 | + | 0.182514i | ||||
\(929\) | −35.0513 | − | 38.9284i | −1.14999 | − | 1.27720i | −0.955070 | − | 0.296380i | \(-0.904220\pi\) |
−0.194925 | − | 0.980818i | \(-0.562446\pi\) | |||||||
\(930\) | −4.70405 | + | 9.62890i | −0.154252 | + | 0.315744i | ||||
\(931\) | −20.9757 | + | 19.5296i | −0.687450 | + | 0.640056i | ||||
\(932\) | −3.27558 | −0.107295 | ||||||||
\(933\) | 4.77919 | + | 1.01585i | 0.156464 | + | 0.0332574i | ||||
\(934\) | 2.49846 | − | 1.11239i | 0.0817522 | − | 0.0363984i | ||||
\(935\) | −3.16462 | − | 7.84733i | −0.103494 | − | 0.256635i | ||||
\(936\) | −0.564623 | − | 5.37203i | −0.0184553 | − | 0.175590i | ||||
\(937\) | −3.76223 | + | 35.7953i | −0.122907 | + | 1.16938i | 0.743041 | + | 0.669246i | \(0.233383\pi\) |
−0.865948 | + | 0.500134i | \(0.833284\pi\) | |||||||
\(938\) | −1.04218 | − | 0.757190i | −0.0340285 | − | 0.0247231i | ||||
\(939\) | 0.283078 | − | 0.205668i | 0.00923789 | − | 0.00671172i | ||||
\(940\) | 6.49948 | + | 16.1168i | 0.211990 | + | 0.525673i | ||||
\(941\) | −3.91366 | + | 37.2360i | −0.127582 | + | 1.21386i | 0.724062 | + | 0.689735i | \(0.242273\pi\) |
−0.851643 | + | 0.524122i | \(0.824394\pi\) | |||||||
\(942\) | 3.88306 | + | 11.9508i | 0.126517 | + | 0.389380i | ||||
\(943\) | 13.5763 | 0.442106 | ||||||||
\(944\) | 0.195464 | − | 0.217085i | 0.00636183 | − | 0.00706552i | ||||
\(945\) | 2.49451 | + | 3.70343i | 0.0811463 | + | 0.120473i | ||||
\(946\) | 30.1714 | − | 6.41312i | 0.980956 | − | 0.208509i | ||||
\(947\) | −6.18498 | − | 6.86912i | −0.200985 | − | 0.223216i | 0.634224 | − | 0.773150i | \(-0.281320\pi\) |
−0.835209 | + | 0.549933i | \(0.814653\pi\) | |||||||
\(948\) | −0.0399160 | − | 0.379775i | −0.00129641 | − | 0.0123345i | ||||
\(949\) | 25.6244 | 0.831804 | ||||||||
\(950\) | 15.3790 | + | 15.4430i | 0.498961 | + | 0.501036i | ||||
\(951\) | 11.3974 | 0.369588 | ||||||||
\(952\) | −0.0705735 | − | 0.671462i | −0.00228730 | − | 0.0217622i | ||||
\(953\) | −19.2684 | − | 21.3998i | −0.624166 | − | 0.693207i | 0.345283 | − | 0.938499i | \(-0.387783\pi\) |
−0.969449 | + | 0.245292i | \(0.921116\pi\) | |||||||
\(954\) | −29.7706 | + | 6.32794i | −0.963859 | + | 0.204875i | ||||
\(955\) | −2.45194 | + | 3.13416i | −0.0793430 | + | 0.101419i | ||||
\(956\) | −12.2652 | + | 13.6219i | −0.396685 | + | 0.440563i | ||||
\(957\) | −14.6581 | −0.473830 | ||||||||
\(958\) | 0.133194 | + | 0.409930i | 0.00430331 | + | 0.0132442i | ||||
\(959\) | 0.791241 | − | 7.52816i | 0.0255505 | − | 0.243097i | ||||
\(960\) | −0.290821 | + | 1.16321i | −0.00938621 | + | 0.0375424i | ||||
\(961\) | −39.5479 | + | 28.7332i | −1.27574 | + | 0.926877i | ||||
\(962\) | 5.19528 | + | 3.77459i | 0.167503 | + | 0.121698i | ||||
\(963\) | −3.47097 | + | 33.0241i | −0.111850 | + | 1.06419i | ||||
\(964\) | 0.450184 | + | 4.28321i | 0.0144994 | + | 0.137953i | ||||
\(965\) | −3.95603 | − | 2.47557i | −0.127349 | − | 0.0796913i | ||||
\(966\) | −0.919731 | + | 0.409491i | −0.0295919 | + | 0.0131751i | ||||
\(967\) | −12.3367 | − | 2.62224i | −0.396720 | − | 0.0843255i | 0.00523162 | − | 0.999986i | \(-0.498335\pi\) |
−0.401952 | + | 0.915661i | \(0.631668\pi\) | |||||||
\(968\) | 2.35010 | 0.0755352 | ||||||||
\(969\) | −2.31432 | − | 0.709533i | −0.0743468 | − | 0.0227935i | ||||
\(970\) | 4.36568 | + | 4.22135i | 0.140173 | + | 0.135539i | ||||
\(971\) | −13.9181 | − | 15.4576i | −0.446654 | − | 0.496059i | 0.477205 | − | 0.878792i | \(-0.341650\pi\) |
−0.923859 | + | 0.382733i | \(0.874983\pi\) | |||||||
\(972\) | −8.47924 | − | 9.41715i | −0.271972 | − | 0.302055i | ||||
\(973\) | 11.5375 | + | 5.13681i | 0.369874 | + | 0.164679i | ||||
\(974\) | −19.1406 | + | 33.1525i | −0.613305 | + | 1.06227i | ||||
\(975\) | 4.53148 | − | 2.82343i | 0.145123 | − | 0.0904220i | ||||
\(976\) | −9.07367 | −0.290441 | ||||||||
\(977\) | 30.2735 | − | 21.9950i | 0.968536 | − | 0.703683i | 0.0134188 | − | 0.999910i | \(-0.495729\pi\) |
0.955118 | + | 0.296227i | \(0.0957285\pi\) | |||||||
\(978\) | −0.366920 | + | 0.0779913i | −0.0117328 | + | 0.00249389i | ||||
\(979\) | −26.2218 | + | 5.57361i | −0.838052 | + | 0.178133i | ||||
\(980\) | 2.54362 | + | 14.4804i | 0.0812531 | + | 0.462561i | ||||
\(981\) | −17.1658 | − | 52.8308i | −0.548061 | − | 1.68676i | ||||
\(982\) | 9.34905 | + | 16.1930i | 0.298340 | + | 0.516741i | ||||
\(983\) | −55.3826 | − | 11.7719i | −1.76643 | − | 0.375466i | −0.793864 | − | 0.608096i | \(-0.791934\pi\) |
−0.972565 | + | 0.232630i | \(0.925267\pi\) | |||||||
\(984\) | −0.264215 | + | 2.51383i | −0.00842286 | + | 0.0801381i | ||||
\(985\) | −13.1894 | − | 4.81024i | −0.420250 | − | 0.153267i | ||||
\(986\) | 0.809930 | + | 7.70596i | 0.0257934 | + | 0.245408i | ||||
\(987\) | −2.19788 | − | 1.59685i | −0.0699593 | − | 0.0508284i | ||||
\(988\) | 6.54668 | + | 5.69991i | 0.208278 | + | 0.181338i | ||||
\(989\) | −19.6700 | + | 14.2911i | −0.625471 | + | 0.454431i | ||||
\(990\) | 12.3805 | + | 18.3805i | 0.393477 | + | 0.584170i | ||||
\(991\) | 20.2416 | − | 9.01214i | 0.642996 | − | 0.286280i | −0.0592193 | − | 0.998245i | \(-0.518861\pi\) |
0.702215 | + | 0.711965i | \(0.252194\pi\) | |||||||
\(992\) | −5.98054 | + | 6.64206i | −0.189882 | + | 0.210886i | ||||
\(993\) | −4.87970 | + | 8.45189i | −0.154853 | + | 0.268213i | ||||
\(994\) | 3.96723 | − | 4.40605i | 0.125833 | − | 0.139751i | ||||
\(995\) | 26.3474 | − | 13.9873i | 0.835267 | − | 0.443426i | ||||
\(996\) | 2.54536 | − | 7.83380i | 0.0806527 | − | 0.248224i | ||||
\(997\) | 18.8608 | − | 4.00898i | 0.597327 | − | 0.126966i | 0.100680 | − | 0.994919i | \(-0.467898\pi\) |
0.496646 | + | 0.867953i | \(0.334565\pi\) | |||||||
\(998\) | 17.1477 | + | 7.63464i | 0.542800 | + | 0.241670i | ||||
\(999\) | 9.87770 | 0.312517 |
(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 | 950.2.r.b.11.11 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.b.311.15 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.b.391.15 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.b.691.11 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.b.11.11 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.b.311.15 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.b.391.15 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.b.691.11 | yes | 200 | 475.216 | even | 15 | inner |