Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [738,2,Mod(289,738)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(738, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("738.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 738 = 2 \cdot 3^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 738.u (of order \(20\), 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: | \(5.89295966917\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Character | \(\chi\) | \(=\) | 738.541 |
Dual form | 738.2.u.d.487.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/738\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | −2.31414 | + | 0.751911i | −1.03492 | + | 0.336265i | −0.776732 | − | 0.629831i | \(-0.783124\pi\) |
−0.258184 | + | 0.966096i | \(0.583124\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.764846 | + | 0.121140i | 0.289084 | + | 0.0457865i | 0.299292 | − | 0.954161i | \(-0.403249\pi\) |
−0.0102080 | + | 0.999948i | \(0.503249\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.751911 | − | 2.31414i | 0.237775 | − | 0.731797i | ||||
\(11\) | −1.70745 | + | 0.869989i | −0.514815 | + | 0.262311i | −0.692040 | − | 0.721859i | \(-0.743288\pi\) |
0.177225 | + | 0.984170i | \(0.443288\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.213300 | − | 1.34672i | −0.0591587 | − | 0.373514i | −0.999451 | − | 0.0331443i | \(-0.989448\pi\) |
0.940292 | − | 0.340369i | \(-0.110552\pi\) | |||||||
\(14\) | −0.547569 | + | 0.547569i | −0.146344 | + | 0.146344i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −0.491498 | − | 0.964619i | −0.119206 | − | 0.233955i | 0.823691 | − | 0.567038i | \(-0.191911\pi\) |
−0.942897 | + | 0.333084i | \(0.891911\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.449778 | − | 2.83979i | 0.103186 | − | 0.651492i | −0.880833 | − | 0.473428i | \(-0.843017\pi\) |
0.984019 | − | 0.178064i | \(-0.0569835\pi\) | |||||||
\(20\) | 1.43022 | + | 1.96853i | 0.319807 | + | 0.440176i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.299778 | − | 1.89272i | 0.0639128 | − | 0.403530i | ||||
\(23\) | −3.18930 | − | 2.31716i | −0.665016 | − | 0.483162i | 0.203337 | − | 0.979109i | \(-0.434821\pi\) |
−0.868353 | + | 0.495946i | \(0.834821\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.744808 | − | 0.541135i | 0.148962 | − | 0.108227i | ||||
\(26\) | 1.21490 | + | 0.619020i | 0.238261 | + | 0.121400i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.121140 | − | 0.764846i | −0.0228932 | − | 0.144542i | ||||
\(29\) | 0.899058 | − | 1.76450i | 0.166951 | − | 0.327660i | −0.792340 | − | 0.610080i | \(-0.791137\pi\) |
0.959291 | + | 0.282420i | \(0.0911373\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.32338 | − | 4.07295i | 0.237686 | − | 0.731523i | −0.759067 | − | 0.651012i | \(-0.774345\pi\) |
0.996754 | − | 0.0805113i | \(-0.0256553\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.06929 | + | 0.169359i | 0.183381 | + | 0.0290448i | ||||
\(35\) | −1.86105 | + | 0.294761i | −0.314575 | + | 0.0498237i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.51684 | − | 4.66835i | −0.249367 | − | 0.767473i | −0.994887 | − | 0.100990i | \(-0.967799\pi\) |
0.745520 | − | 0.666483i | \(-0.232201\pi\) | |||||||
\(38\) | 2.03306 | + | 2.03306i | 0.329806 | + | 0.329806i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.43324 | −0.384728 | ||||||||
\(41\) | 0.192001 | − | 6.40024i | 0.0299855 | − | 0.999550i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.54823 | − | 6.26011i | 0.693599 | − | 0.954657i | −0.306397 | − | 0.951904i | \(-0.599123\pi\) |
0.999996 | − | 0.00275366i | \(-0.000876518\pi\) | |||||||
\(44\) | 1.35504 | + | 1.35504i | 0.204280 | + | 0.204280i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.74925 | − | 1.21821i | 0.552797 | − | 0.179615i | ||||
\(47\) | 2.08040 | − | 0.329502i | 0.303457 | − | 0.0480629i | −0.00284912 | − | 0.999996i | \(-0.500907\pi\) |
0.306306 | + | 0.951933i | \(0.400907\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.08708 | − | 1.97781i | −0.869583 | − | 0.282545i | ||||
\(50\) | 0.920633i | 0.130197i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.21490 | + | 0.619020i | −0.168476 | + | 0.0858427i | ||||
\(53\) | 1.82528 | − | 3.58232i | 0.250722 | − | 0.492069i | −0.731003 | − | 0.682374i | \(-0.760948\pi\) |
0.981725 | + | 0.190305i | \(0.0609476\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.29713 | − | 3.29713i | 0.444585 | − | 0.444585i | ||||
\(56\) | 0.689977 | + | 0.351561i | 0.0922021 | + | 0.0469793i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.899058 | + | 1.76450i | 0.118052 | + | 0.231690i | ||||
\(59\) | −3.46306 | − | 2.51606i | −0.450853 | − | 0.327564i | 0.339080 | − | 0.940758i | \(-0.389884\pi\) |
−0.789932 | + | 0.613194i | \(0.789884\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.203993 | + | 0.280773i | 0.0261186 | + | 0.0359492i | 0.821877 | − | 0.569666i | \(-0.192927\pi\) |
−0.795758 | + | 0.605615i | \(0.792927\pi\) | |||||||
\(62\) | 2.51722 | + | 3.46466i | 0.319687 | + | 0.440012i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | 1.50622 | + | 2.95613i | 0.186824 | + | 0.366662i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.51861 | − | 4.34045i | −1.04071 | − | 0.530270i | −0.151832 | − | 0.988406i | \(-0.548517\pi\) |
−0.888882 | + | 0.458136i | \(0.848517\pi\) | |||||||
\(68\) | −0.765526 | + | 0.765526i | −0.0928337 | + | 0.0928337i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.855430 | − | 1.67888i | 0.102243 | − | 0.200664i | ||||
\(71\) | 1.74337 | − | 0.888290i | 0.206900 | − | 0.105421i | −0.347470 | − | 0.937691i | \(-0.612959\pi\) |
0.554370 | + | 0.832270i | \(0.312959\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.73369i | 0.671077i | 0.942026 | + | 0.335539i | \(0.108918\pi\) | ||||
−0.942026 | + | 0.335539i | \(0.891082\pi\) | |||||||
\(74\) | 4.66835 | + | 1.51684i | 0.542685 | + | 0.176329i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.83979 | + | 0.449778i | −0.325746 | + | 0.0515931i | ||||
\(77\) | −1.41132 | + | 0.458567i | −0.160835 | + | 0.0522586i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.17036 | + | 2.17036i | 0.244185 | + | 0.244185i | 0.818579 | − | 0.574394i | \(-0.194762\pi\) |
−0.574394 | + | 0.818579i | \(0.694762\pi\) | |||||||
\(80\) | 1.43022 | − | 1.96853i | 0.159903 | − | 0.220088i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.06505 | + | 3.91730i | 0.559341 | + | 0.432594i | ||||
\(83\) | −3.37700 | −0.370674 | −0.185337 | − | 0.982675i | \(-0.559338\pi\) | ||||
−0.185337 | + | 0.982675i | \(0.559338\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.86271 | + | 1.86271i | 0.202039 | + | 0.202039i | ||||
\(86\) | 2.39115 | + | 7.35920i | 0.257844 | + | 0.793563i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.89272 | + | 0.299778i | −0.201765 | + | 0.0319564i | ||||
\(89\) | −1.80343 | − | 0.285636i | −0.191164 | − | 0.0302773i | 0.0601185 | − | 0.998191i | \(-0.480852\pi\) |
−0.251282 | + | 0.967914i | \(0.580852\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 1.05587i | − | 0.110686i | ||||||
\(92\) | −1.21821 | + | 3.74925i | −0.127007 | + | 0.390887i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.956253 | + | 1.87675i | −0.0986300 | + | 0.193572i | ||||
\(95\) | 1.09442 | + | 6.90987i | 0.112285 | + | 0.708938i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.73955 | + | 1.39587i | 0.278159 | + | 0.141729i | 0.587505 | − | 0.809220i | \(-0.300110\pi\) |
−0.309346 | + | 0.950950i | \(0.600110\pi\) | |||||||
\(98\) | 5.17798 | − | 3.76202i | 0.523055 | − | 0.380022i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.744808 | − | 0.541135i | −0.0744808 | − | 0.0541135i | ||||
\(101\) | 0.868554 | − | 5.48383i | 0.0864243 | − | 0.545662i | −0.906046 | − | 0.423179i | \(-0.860914\pi\) |
0.992471 | − | 0.122483i | \(-0.0390858\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.39553 | + | 10.1791i | 0.728703 | + | 1.00297i | 0.999190 | + | 0.0402497i | \(0.0128153\pi\) |
−0.270487 | + | 0.962724i | \(0.587185\pi\) | |||||||
\(104\) | 0.213300 | − | 1.34672i | 0.0209158 | − | 0.132057i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.82528 | + | 3.58232i | 0.177287 | + | 0.347945i | ||||
\(107\) | −7.59916 | + | 5.52111i | −0.734638 | + | 0.533746i | −0.891027 | − | 0.453949i | \(-0.850015\pi\) |
0.156389 | + | 0.987696i | \(0.450015\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.86413 | + | 4.86413i | −0.465899 | + | 0.465899i | −0.900583 | − | 0.434684i | \(-0.856860\pi\) |
0.434684 | + | 0.900583i | \(0.356860\pi\) | |||||||
\(110\) | 0.729430 | + | 4.60544i | 0.0695484 | + | 0.439111i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.689977 | + | 0.351561i | −0.0651967 | + | 0.0332194i | ||||
\(113\) | 5.26138 | − | 16.1929i | 0.494949 | − | 1.52330i | −0.322088 | − | 0.946710i | \(-0.604385\pi\) |
0.817037 | − | 0.576586i | \(-0.195615\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.12281 | + | 2.96418i | 0.850706 | + | 0.276411i | ||||
\(116\) | −1.95597 | − | 0.309794i | −0.181607 | − | 0.0287637i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.07108 | − | 1.32277i | 0.374773 | − | 0.121771i | ||||
\(119\) | −0.259066 | − | 0.797325i | −0.0237486 | − | 0.0730906i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.30714 | + | 5.92826i | −0.391558 | + | 0.538933i | ||||
\(122\) | −0.347054 | −0.0314208 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.28255 | −0.384585 | ||||||||
\(125\) | 5.83439 | − | 8.03035i | 0.521844 | − | 0.718256i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.100465 | − | 0.309199i | −0.00891482 | − | 0.0274370i | 0.946500 | − | 0.322703i | \(-0.104592\pi\) |
−0.955415 | + | 0.295266i | \(0.904592\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.27689 | − | 0.519009i | −0.287402 | − | 0.0455201i | ||||
\(131\) | −0.903005 | − | 0.293404i | −0.0788960 | − | 0.0256348i | 0.269303 | − | 0.963055i | \(-0.413207\pi\) |
−0.348199 | + | 0.937421i | \(0.613207\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.688022 | − | 2.11751i | 0.0596590 | − | 0.183612i | ||||
\(134\) | 8.51861 | − | 4.34045i | 0.735896 | − | 0.374958i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.169359 | − | 1.06929i | −0.0145224 | − | 0.0916907i | ||||
\(137\) | 6.22745 | − | 6.22745i | 0.532047 | − | 0.532047i | −0.389134 | − | 0.921181i | \(-0.627226\pi\) |
0.921181 | + | 0.389134i | \(0.127226\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.4867 | + | 11.2518i | −1.31357 | + | 0.954361i | −0.313577 | + | 0.949563i | \(0.601527\pi\) |
−0.999988 | + | 0.00479869i | \(0.998473\pi\) | |||||||
\(140\) | 0.855430 | + | 1.67888i | 0.0722971 | + | 0.141891i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.306084 | + | 1.93254i | −0.0256860 | + | 0.162175i | ||||
\(143\) | 1.53583 | + | 2.11389i | 0.128433 | + | 0.176773i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.753803 | + | 4.75932i | −0.0625999 | + | 0.395240i | ||||
\(146\) | −4.63865 | − | 3.37018i | −0.383897 | − | 0.278918i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.97114 | + | 2.88520i | −0.326426 | + | 0.237162i | ||||
\(149\) | −10.0142 | − | 5.10248i | −0.820394 | − | 0.418011i | −0.00717819 | − | 0.999974i | \(-0.502285\pi\) |
−0.813215 | + | 0.581963i | \(0.802285\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.29873 | + | 14.5136i | 0.187068 | + | 1.18110i | 0.885227 | + | 0.465160i | \(0.154003\pi\) |
−0.698158 | + | 0.715943i | \(0.745997\pi\) | |||||||
\(152\) | 1.30531 | − | 2.56181i | 0.105874 | − | 0.207790i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.458567 | − | 1.41132i | 0.0369524 | − | 0.113728i | ||||
\(155\) | 10.4205i | 0.836991i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −14.0907 | − | 2.23175i | −1.12456 | − | 0.178113i | −0.433671 | − | 0.901071i | \(-0.642782\pi\) |
−0.690892 | + | 0.722958i | \(0.742782\pi\) | |||||||
\(158\) | −3.03157 | + | 0.480153i | −0.241178 | + | 0.0381989i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.751911 | + | 2.31414i | 0.0594438 | + | 0.182949i | ||||
\(161\) | −2.15862 | − | 2.15862i | −0.170123 | − | 0.170123i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.95104 | −0.622773 | −0.311387 | − | 0.950283i | \(-0.600793\pi\) | ||||
−0.311387 | + | 0.950283i | \(0.600793\pi\) | |||||||
\(164\) | −6.14633 | + | 1.79518i | −0.479947 | + | 0.140180i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.98495 | − | 2.73205i | 0.154062 | − | 0.212048i | ||||
\(167\) | 3.93143 | + | 3.93143i | 0.304223 | + | 0.304223i | 0.842664 | − | 0.538440i | \(-0.180986\pi\) |
−0.538440 | + | 0.842664i | \(0.680986\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.5956 | − | 3.44271i | 0.815044 | − | 0.264824i | ||||
\(170\) | −2.60183 | + | 0.412089i | −0.199551 | + | 0.0316058i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.35920 | − | 2.39115i | −0.561134 | − | 0.182323i | ||||
\(173\) | 4.77457i | 0.363004i | 0.983391 | + | 0.181502i | \(0.0580959\pi\) | ||||
−0.983391 | + | 0.181502i | \(0.941904\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.635216 | − | 0.323659i | 0.0480178 | − | 0.0244663i | ||||
\(176\) | 0.869989 | − | 1.70745i | 0.0655779 | − | 0.128704i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.29112 | − | 1.29112i | 0.0967732 | − | 0.0967732i | ||||
\(179\) | −12.7648 | − | 6.50400i | −0.954087 | − | 0.486132i | −0.0936036 | − | 0.995610i | \(-0.529839\pi\) |
−0.860484 | + | 0.509478i | \(0.829839\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.14517 | + | 17.9484i | 0.679755 | + | 1.33409i | 0.930590 | + | 0.366064i | \(0.119295\pi\) |
−0.250835 | + | 0.968030i | \(0.580705\pi\) | |||||||
\(182\) | 0.854220 | + | 0.620627i | 0.0633190 | + | 0.0460039i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.31716 | − | 3.18930i | −0.170824 | − | 0.235119i | ||||
\(185\) | 7.02037 | + | 9.66272i | 0.516148 | + | 0.710417i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.67842 | + | 1.21944i | 0.122738 | + | 0.0891743i | ||||
\(188\) | −0.956253 | − | 1.87675i | −0.0697419 | − | 0.136876i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.23348 | − | 3.17612i | −0.452225 | − | 0.230420i | ||||
\(191\) | −12.8209 | + | 12.8209i | −0.927686 | + | 0.927686i | −0.997556 | − | 0.0698705i | \(-0.977741\pi\) |
0.0698705 | + | 0.997556i | \(0.477741\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.42534 | + | 2.79739i | −0.102598 | + | 0.201360i | −0.936599 | − | 0.350403i | \(-0.886045\pi\) |
0.834001 | + | 0.551763i | \(0.186045\pi\) | |||||||
\(194\) | −2.73955 | + | 1.39587i | −0.196688 | + | 0.100218i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.40034i | 0.457167i | ||||||||
\(197\) | −1.86008 | − | 0.604378i | −0.132526 | − | 0.0430602i | 0.242003 | − | 0.970275i | \(-0.422196\pi\) |
−0.374529 | + | 0.927215i | \(0.622196\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.06562 | + | 0.327162i | −0.146428 | + | 0.0231919i | −0.229218 | − | 0.973375i | \(-0.573617\pi\) |
0.0827903 | + | 0.996567i | \(0.473617\pi\) | |||||||
\(200\) | 0.875574 | − | 0.284491i | 0.0619124 | − | 0.0201166i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.92599 | + | 3.92599i | 0.276232 | + | 0.276232i | ||||
\(203\) | 0.901392 | − | 1.24066i | 0.0632653 | − | 0.0870772i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.36810 | + | 14.9555i | 0.305081 | + | 1.04453i | ||||
\(206\) | −12.5820 | −0.876631 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.964147 | + | 0.964147i | 0.0668516 | + | 0.0668516i | ||||
\(209\) | 1.70261 | + | 5.24009i | 0.117772 | + | 0.362465i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.1045 | + | 2.55070i | −1.10868 | + | 0.175598i | −0.683812 | − | 0.729658i | \(-0.739679\pi\) |
−0.424867 | + | 0.905256i | \(0.639679\pi\) | |||||||
\(212\) | −3.97103 | − | 0.628949i | −0.272731 | − | 0.0431964i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | − | 9.39308i | − | 0.642098i | ||||||
\(215\) | −5.81823 | + | 17.9067i | −0.396800 | + | 1.22122i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.50558 | − | 2.95486i | 0.102205 | − | 0.200589i | ||||
\(218\) | −1.07610 | − | 6.79423i | −0.0728827 | − | 0.460163i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.15463 | − | 2.11689i | −0.280105 | − | 0.142721i | ||||
\(221\) | −1.19424 | + | 0.867665i | −0.0803331 | + | 0.0583654i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.50658 | + | 6.18039i | 0.569643 | + | 0.413870i | 0.834975 | − | 0.550287i | \(-0.185482\pi\) |
−0.265333 | + | 0.964157i | \(0.585482\pi\) | |||||||
\(224\) | 0.121140 | − | 0.764846i | 0.00809398 | − | 0.0511034i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.0077 | + | 13.7745i | 0.665705 | + | 0.916264i | ||||
\(227\) | −3.49222 | + | 22.0490i | −0.231787 | + | 1.46344i | 0.547516 | + | 0.836795i | \(0.315574\pi\) |
−0.779302 | + | 0.626648i | \(0.784426\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.8186 | − | 21.2328i | −0.714915 | − | 1.40310i | −0.906748 | − | 0.421672i | \(-0.861443\pi\) |
0.191833 | − | 0.981428i | \(-0.438557\pi\) | |||||||
\(230\) | −7.76033 | + | 5.63821i | −0.511701 | + | 0.371772i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.40032 | − | 1.40032i | 0.0919353 | − | 0.0919353i | ||||
\(233\) | −0.698709 | − | 4.41148i | −0.0457740 | − | 0.289005i | 0.954174 | − | 0.299254i | \(-0.0967378\pi\) |
−0.999947 | + | 0.0102485i | \(0.996738\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.56658 | + | 2.32679i | −0.297891 | + | 0.151783i | ||||
\(236\) | −1.32277 | + | 4.07108i | −0.0861052 | + | 0.265004i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.797325 | + | 0.259066i | 0.0516829 | + | 0.0167928i | ||||
\(239\) | 17.2772 | + | 2.73645i | 1.11757 | + | 0.177006i | 0.687778 | − | 0.725921i | \(-0.258586\pi\) |
0.429794 | + | 0.902927i | \(0.358586\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.1092 | − | 4.90928i | 0.973270 | − | 0.316234i | 0.221134 | − | 0.975243i | \(-0.429024\pi\) |
0.752135 | + | 0.659009i | \(0.229024\pi\) | |||||||
\(242\) | −2.26440 | − | 6.96909i | −0.145561 | − | 0.447990i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.203993 | − | 0.280773i | 0.0130593 | − | 0.0179746i | ||||
\(245\) | 15.5735 | 0.994956 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.92034 | −0.249445 | ||||||||
\(248\) | 2.51722 | − | 3.46466i | 0.159844 | − | 0.220006i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.06732 | + | 9.44024i | 0.193994 | + | 0.597053i | ||||
\(251\) | −12.0287 | + | 3.90837i | −0.759246 | + | 0.246694i | −0.662955 | − | 0.748659i | \(-0.730698\pi\) |
−0.0962912 | + | 0.995353i | \(0.530698\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.46148 | + | 1.18178i | 0.469099 | + | 0.0742980i | ||||
\(254\) | 0.309199 | + | 0.100465i | 0.0194009 | + | 0.00630373i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 7.46012 | − | 3.80112i | 0.465349 | − | 0.237107i | −0.205563 | − | 0.978644i | \(-0.565903\pi\) |
0.670913 | + | 0.741536i | \(0.265903\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.594626 | − | 3.75432i | −0.0369483 | − | 0.233282i | ||||
\(260\) | 2.34600 | − | 2.34600i | 0.145492 | − | 0.145492i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.768142 | − | 0.558088i | 0.0474560 | − | 0.0344788i | ||||
\(263\) | −6.65709 | − | 13.0653i | −0.410494 | − | 0.805639i | 0.589504 | − | 0.807765i | \(-0.299323\pi\) |
−0.999998 | + | 0.00212633i | \(0.999323\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.53038 | + | 9.66245i | −0.0940106 | + | 0.593559i | ||||
\(266\) | 1.30869 | + | 1.80126i | 0.0802412 | + | 0.110443i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.49562 | + | 9.44295i | −0.0913593 | + | 0.576820i | ||||
\(269\) | −12.3637 | − | 8.98279i | −0.753831 | − | 0.547690i | 0.143181 | − | 0.989697i | \(-0.454267\pi\) |
−0.897012 | + | 0.442006i | \(0.854267\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.60210 | + | 5.52325i | −0.461795 | + | 0.335514i | −0.794235 | − | 0.607611i | \(-0.792128\pi\) |
0.332440 | + | 0.943124i | \(0.392128\pi\) | |||||||
\(272\) | 0.964619 | + | 0.491498i | 0.0584886 | + | 0.0298014i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.37771 | + | 8.69852i | 0.0832305 | + | 0.525497i | ||||
\(275\) | −0.800941 | + | 1.57193i | −0.0482985 | + | 0.0947912i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.10673 | − | 21.8723i | 0.427002 | − | 1.31418i | −0.474062 | − | 0.880492i | \(-0.657213\pi\) |
0.901064 | − | 0.433686i | \(-0.142787\pi\) | |||||||
\(278\) | − | 19.1426i | − | 1.14810i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.86105 | − | 0.294761i | −0.111219 | − | 0.0176154i | ||||
\(281\) | 8.40657 | − | 1.33147i | 0.501494 | − | 0.0794288i | 0.0994375 | − | 0.995044i | \(-0.468296\pi\) |
0.402056 | + | 0.915615i | \(0.368296\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.91672 | − | 18.2098i | −0.351713 | − | 1.08246i | −0.957891 | − | 0.287132i | \(-0.907298\pi\) |
0.606179 | − | 0.795329i | \(-0.292702\pi\) | |||||||
\(284\) | −1.38354 | − | 1.38354i | −0.0820982 | − | 0.0820982i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.61291 | −0.154505 | ||||||||
\(287\) | 0.922174 | − | 4.87194i | 0.0544342 | − | 0.287582i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.30343 | − | 12.8051i | 0.547261 | − | 0.753240i | ||||
\(290\) | −3.40730 | − | 3.40730i | −0.200083 | − | 0.200083i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.45306 | − | 1.77181i | 0.319116 | − | 0.103687i | ||||
\(293\) | 29.0923 | − | 4.60776i | 1.69959 | − | 0.269188i | 0.770068 | − | 0.637961i | \(-0.220222\pi\) |
0.929519 | + | 0.368773i | \(0.120222\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.90588 | + | 3.21862i | 0.576743 | + | 0.187395i | ||||
\(296\) | − | 4.90860i | − | 0.285307i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0142 | − | 5.10248i | 0.580106 | − | 0.295579i | ||||
\(299\) | −2.44030 | + | 4.78936i | −0.141126 | + | 0.276976i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.23704 | − | 4.23704i | 0.244219 | − | 0.244219i | ||||
\(302\) | −13.0929 | − | 6.67119i | −0.753414 | − | 0.383884i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.30531 | + | 2.56181i | 0.0748645 | + | 0.146930i | ||||
\(305\) | −0.683186 | − | 0.496363i | −0.0391191 | − | 0.0284217i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.08538 | − | 9.75219i | −0.404384 | − | 0.556587i | 0.557453 | − | 0.830208i | \(-0.311779\pi\) |
−0.961838 | + | 0.273621i | \(0.911779\pi\) | |||||||
\(308\) | 0.872247 | + | 1.20054i | 0.0497009 | + | 0.0684074i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −8.43033 | − | 6.12499i | −0.478810 | − | 0.347876i | ||||
\(311\) | 10.9841 | + | 21.5576i | 0.622854 | + | 1.22242i | 0.959744 | + | 0.280875i | \(0.0906247\pi\) |
−0.336891 | + | 0.941544i | \(0.609375\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.7310 | − | 5.46771i | −0.606551 | − | 0.309053i | 0.123607 | − | 0.992331i | \(-0.460554\pi\) |
−0.730158 | + | 0.683278i | \(0.760554\pi\) | |||||||
\(314\) | 10.0879 | − | 10.0879i | 0.569291 | − | 0.569291i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.39346 | − | 2.73481i | 0.0783881 | − | 0.153845i | ||||
\(317\) | 18.8240 | − | 9.59131i | 1.05726 | − | 0.538702i | 0.163176 | − | 0.986597i | \(-0.447826\pi\) |
0.894086 | + | 0.447895i | \(0.147826\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.79497i | 0.212477i | ||||||||
\(320\) | −2.31414 | − | 0.751911i | −0.129365 | − | 0.0420331i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.01517 | − | 0.477556i | 0.168029 | − | 0.0266132i | ||||
\(323\) | −2.96038 | + | 0.961885i | −0.164720 | + | 0.0535207i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.887626 | − | 0.887626i | −0.0492366 | − | 0.0492366i | ||||
\(326\) | 4.67350 | − | 6.43252i | 0.258841 | − | 0.356265i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.16039 | − | 6.02766i | 0.119287 | − | 0.332822i | ||||
\(329\) | 1.63110 | 0.0899253 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.24927 | + | 9.24927i | 0.508386 | + | 0.508386i | 0.914031 | − | 0.405645i | \(-0.132953\pi\) |
−0.405645 | + | 0.914031i | \(0.632953\pi\) | |||||||
\(332\) | 1.04355 | + | 3.21172i | 0.0572723 | + | 0.176266i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.49143 | + | 0.869757i | −0.300478 | + | 0.0475910i | ||||
\(335\) | 22.9769 | + | 3.63919i | 1.25536 | + | 0.198830i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 34.7407i | − | 1.89244i | −0.323517 | − | 0.946222i | \(-0.604865\pi\) | ||
0.323517 | − | 0.946222i | \(-0.395135\pi\) | |||||||
\(338\) | −3.44271 | + | 10.5956i | −0.187259 | + | 0.576323i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.19593 | − | 2.34715i | 0.0648584 | − | 0.127292i | ||||
\(341\) | 1.28381 | + | 8.10568i | 0.0695224 | + | 0.438947i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.24593 | − | 4.71103i | −0.499233 | − | 0.254372i | ||||
\(344\) | 6.26011 | − | 4.54823i | 0.337522 | − | 0.245224i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.86271 | − | 2.80642i | −0.207661 | − | 0.150874i | ||||
\(347\) | 2.90719 | − | 18.3552i | 0.156066 | − | 0.985361i | −0.778001 | − | 0.628263i | \(-0.783766\pi\) |
0.934067 | − | 0.357098i | \(-0.116234\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.47452 | + | 6.15864i | 0.239515 | + | 0.329665i | 0.911805 | − | 0.410624i | \(-0.134689\pi\) |
−0.672290 | + | 0.740288i | \(0.734689\pi\) | |||||||
\(350\) | −0.111525 | + | 0.704142i | −0.00596127 | + | 0.0376380i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.869989 | + | 1.70745i | 0.0463706 | + | 0.0910073i | ||||
\(353\) | 5.29884 | − | 3.84984i | 0.282029 | − | 0.204906i | −0.437773 | − | 0.899086i | \(-0.644233\pi\) |
0.719802 | + | 0.694179i | \(0.244233\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.36649 | + | 3.36649i | −0.178675 | + | 0.178675i | ||||
\(356\) | 0.285636 | + | 1.80343i | 0.0151387 | + | 0.0955818i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.7648 | − | 6.50400i | 0.674642 | − | 0.343747i | ||||
\(359\) | −6.07771 | + | 18.7053i | −0.320770 | + | 0.987227i | 0.652545 | + | 0.757750i | \(0.273701\pi\) |
−0.973314 | + | 0.229477i | \(0.926299\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.2080 | + | 3.31677i | 0.537262 | + | 0.174567i | ||||
\(362\) | −19.8960 | − | 3.15121i | −1.04571 | − | 0.165624i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.00420 | + | 0.326283i | −0.0526342 | + | 0.0171019i | ||||
\(365\) | −4.31122 | − | 13.2686i | −0.225660 | − | 0.694509i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.9527 | − | 16.4515i | 0.623926 | − | 0.858760i | −0.373706 | − | 0.927547i | \(-0.621913\pi\) |
0.997631 | + | 0.0687874i | \(0.0219130\pi\) | |||||||
\(368\) | 3.94220 | 0.205501 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.9438 | −0.620927 | ||||||||
\(371\) | 1.83002 | − | 2.51880i | 0.0950098 | − | 0.130770i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.14940 | − | 12.7705i | −0.214848 | − | 0.661234i | −0.999164 | − | 0.0408728i | \(-0.986986\pi\) |
0.784317 | − | 0.620361i | \(-0.213014\pi\) | |||||||
\(374\) | −1.97310 | + | 0.641098i | −0.102026 | + | 0.0331504i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.08040 | + | 0.329502i | 0.107288 | + | 0.0169928i | ||||
\(377\) | −2.56806 | − | 0.834414i | −0.132262 | − | 0.0429745i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.01391 | − | 21.5866i | 0.360280 | − | 1.10883i | −0.592604 | − | 0.805494i | \(-0.701900\pi\) |
0.952884 | − | 0.303335i | \(-0.0981000\pi\) | |||||||
\(380\) | 6.23348 | − | 3.17612i | 0.319771 | − | 0.162931i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.83638 | − | 17.9082i | −0.145122 | − | 0.916264i | ||||
\(383\) | 12.6672 | − | 12.6672i | 0.647261 | − | 0.647261i | −0.305069 | − | 0.952330i | \(-0.598680\pi\) |
0.952330 | + | 0.305069i | \(0.0986795\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.92121 | − | 2.12238i | 0.148879 | − | 0.108167i | ||||
\(386\) | −1.42534 | − | 2.79739i | −0.0725479 | − | 0.142383i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.480984 | − | 3.03681i | 0.0244183 | − | 0.154171i | ||||
\(389\) | 8.52127 | + | 11.7285i | 0.432046 | + | 0.594660i | 0.968421 | − | 0.249320i | \(-0.0802069\pi\) |
−0.536376 | + | 0.843979i | \(0.680207\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.667645 | + | 4.21535i | −0.0337643 | + | 0.213179i | ||||
\(392\) | −5.17798 | − | 3.76202i | −0.261528 | − | 0.190011i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.58228 | − | 1.14960i | 0.0797142 | − | 0.0579158i | ||||
\(395\) | −6.65445 | − | 3.39061i | −0.334822 | − | 0.170600i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.83389 | + | 11.5787i | 0.0920402 | + | 0.581119i | 0.990003 | + | 0.141047i | \(0.0450469\pi\) |
−0.897963 | + | 0.440072i | \(0.854953\pi\) | |||||||
\(398\) | 0.949460 | − | 1.86342i | 0.0475921 | − | 0.0934048i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.284491 | + | 0.875574i | −0.0142246 | + | 0.0437787i | ||||
\(401\) | 7.12396i | 0.355753i | 0.984053 | + | 0.177877i | \(0.0569228\pi\) | ||||
−0.984053 | + | 0.177877i | \(0.943077\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.76741 | − | 0.913468i | −0.287295 | − | 0.0455031i | ||||
\(404\) | −5.48383 | + | 0.868554i | −0.272831 | + | 0.0432122i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.473890 | + | 1.45848i | 0.0235188 | + | 0.0723833i | ||||
\(407\) | 6.65134 | + | 6.65134i | 0.329695 | + | 0.329695i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.1629 | −1.14533 | −0.572665 | − | 0.819790i | \(-0.694090\pi\) | ||||
−0.572665 | + | 0.819790i | \(0.694090\pi\) | |||||||
\(410\) | −14.6667 | − | 5.25673i | −0.724338 | − | 0.259612i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.39553 | − | 10.1791i | 0.364351 | − | 0.501487i | ||||
\(413\) | −2.34391 | − | 2.34391i | −0.115336 | − | 0.115336i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.81487 | − | 2.53920i | 0.383617 | − | 0.124645i | ||||
\(416\) | −1.34672 | + | 0.213300i | −0.0660285 | + | 0.0104579i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.24009 | − | 1.70261i | −0.256301 | − | 0.0832774i | ||||
\(419\) | 27.6513i | 1.35085i | 0.737428 | + | 0.675426i | \(0.236040\pi\) | ||||
−0.737428 | + | 0.675426i | \(0.763960\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.9168 | − | 6.07192i | 0.580790 | − | 0.295927i | −0.138807 | − | 0.990319i | \(-0.544327\pi\) |
0.719597 | + | 0.694392i | \(0.244327\pi\) | |||||||
\(422\) | 7.40243 | − | 14.5281i | 0.360345 | − | 0.707216i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.84294 | − | 2.84294i | 0.138065 | − | 0.138065i | ||||
\(425\) | −0.888060 | − | 0.452489i | −0.0430773 | − | 0.0219490i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.122011 | + | 0.239459i | 0.00590451 | + | 0.0115882i | ||||
\(428\) | 7.59916 | + | 5.52111i | 0.367319 | + | 0.266873i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11.0669 | − | 15.2323i | −0.533694 | − | 0.734567i | ||||
\(431\) | 13.5992 | + | 18.7177i | 0.655049 | + | 0.901598i | 0.999305 | − | 0.0372781i | \(-0.0118687\pi\) |
−0.344256 | + | 0.938876i | \(0.611869\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.5995 | + | 7.70099i | 0.509380 | + | 0.370086i | 0.812588 | − | 0.582838i | \(-0.198058\pi\) |
−0.303209 | + | 0.952924i | \(0.598058\pi\) | |||||||
\(434\) | 1.50558 | + | 2.95486i | 0.0722701 | + | 0.141838i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.12916 | + | 3.12296i | 0.293533 | + | 0.149563i | ||||
\(437\) | −8.01474 | + | 8.01474i | −0.383397 | + | 0.383397i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.90888 | + | 5.70900i | −0.138833 | + | 0.272476i | −0.949946 | − | 0.312414i | \(-0.898862\pi\) |
0.811113 | + | 0.584890i | \(0.198862\pi\) | |||||||
\(440\) | 4.15463 | − | 2.11689i | 0.198064 | − | 0.100919i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 1.47616i | − | 0.0702137i | ||||||
\(443\) | −25.7972 | − | 8.38201i | −1.22566 | − | 0.398241i | −0.376520 | − | 0.926408i | \(-0.622880\pi\) |
−0.849141 | + | 0.528167i | \(0.822880\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.38818 | − | 0.695019i | 0.208020 | − | 0.0329471i | ||||
\(446\) | −10.0001 | + | 3.24923i | −0.473518 | + | 0.153855i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.547569 | + | 0.547569i | 0.0258702 | + | 0.0258702i | ||||
\(449\) | 12.7995 | − | 17.6170i | 0.604046 | − | 0.831398i | −0.392025 | − | 0.919955i | \(-0.628225\pi\) |
0.996071 | + | 0.0885562i | \(0.0282253\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.24031 | + | 11.0951i | 0.246757 | + | 0.522449i | ||||
\(452\) | −17.0262 | −0.800844 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −15.7853 | − | 15.7853i | −0.740843 | − | 0.740843i | ||||
\(455\) | 0.793923 | + | 2.44344i | 0.0372197 | + | 0.114550i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.1854 | + | 3.51383i | −1.03779 | + | 0.164370i | −0.652002 | − | 0.758217i | \(-0.726071\pi\) |
−0.385789 | + | 0.922587i | \(0.626071\pi\) | |||||||
\(458\) | 23.5367 | + | 3.72785i | 1.09980 | + | 0.174191i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 9.59229i | − | 0.447243i | ||||||
\(461\) | 0.129129 | − | 0.397419i | 0.00601414 | − | 0.0185096i | −0.948004 | − | 0.318257i | \(-0.896902\pi\) |
0.954019 | + | 0.299748i | \(0.0969024\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.7351 | − | 21.0688i | 0.498902 | − | 0.979151i | −0.495001 | − | 0.868893i | \(-0.664832\pi\) |
0.993903 | − | 0.110258i | \(-0.0351678\pi\) | |||||||
\(464\) | 0.309794 | + | 1.95597i | 0.0143818 | + | 0.0908034i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.97965 | + | 2.02773i | 0.184354 | + | 0.0939329i | ||||
\(467\) | −27.3165 | + | 19.8466i | −1.26406 | + | 0.918393i | −0.998949 | − | 0.0458256i | \(-0.985408\pi\) |
−0.265110 | + | 0.964218i | \(0.585408\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.98962 | − | 4.35171i | −0.276575 | − | 0.200943i | ||||
\(470\) | 0.801757 | − | 5.06209i | 0.0369823 | − | 0.233497i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.51606 | − | 3.46306i | −0.115811 | − | 0.159400i | ||||
\(473\) | −2.31966 | + | 14.6457i | −0.106658 | + | 0.673411i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.20171 | − | 2.35849i | −0.0551382 | − | 0.108215i | ||||
\(476\) | −0.678245 | + | 0.492774i | −0.0310873 | + | 0.0225862i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.3691 | + | 12.3691i | −0.565751 | + | 0.565751i | ||||
\(479\) | 1.32292 | + | 8.35260i | 0.0604458 | + | 0.381640i | 0.999303 | + | 0.0373327i | \(0.0118861\pi\) |
−0.938857 | + | 0.344307i | \(0.888114\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.96344 | + | 3.03852i | −0.271909 | + | 0.138545i | ||||
\(482\) | −4.90928 | + | 15.1092i | −0.223612 | + | 0.688205i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.96909 | + | 2.26440i | 0.316777 | + | 0.102927i | ||||
\(485\) | −7.38928 | − | 1.17035i | −0.335530 | − | 0.0531427i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.54282 | − | 1.80097i | 0.251169 | − | 0.0816099i | −0.180726 | − | 0.983533i | \(-0.557845\pi\) |
0.431896 | + | 0.901924i | \(0.357845\pi\) | |||||||
\(488\) | 0.107246 | + | 0.330068i | 0.00485478 | + | 0.0149415i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −9.15389 | + | 12.5992i | −0.413530 | + | 0.569176i | ||||
\(491\) | 2.17917 | 0.0983444 | 0.0491722 | − | 0.998790i | \(-0.484342\pi\) | ||||
0.0491722 | + | 0.998790i | \(0.484342\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.14396 | −0.0965590 | ||||||||
\(494\) | 2.30432 | − | 3.17162i | 0.103676 | − | 0.142698i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.32338 | + | 4.07295i | 0.0594216 | + | 0.182881i | ||||
\(497\) | 1.44101 | − | 0.468214i | 0.0646383 | − | 0.0210023i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.50542 | + | 0.713589i | 0.201690 | + | 0.0319446i | 0.256462 | − | 0.966554i | \(-0.417443\pi\) |
−0.0547717 | + | 0.998499i | \(0.517443\pi\) | |||||||
\(500\) | −9.44024 | − | 3.06732i | −0.422180 | − | 0.137175i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.90837 | − | 12.0287i | 0.174439 | − | 0.536868i | ||||
\(503\) | 23.6295 | − | 12.0398i | 1.05359 | − | 0.536828i | 0.160649 | − | 0.987012i | \(-0.448641\pi\) |
0.892936 | + | 0.450183i | \(0.148641\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.11340 | + | 13.3435i | 0.0940449 | + | 0.593776i | ||||
\(506\) | −5.34183 | + | 5.34183i | −0.237473 | + | 0.237473i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.263020 | + | 0.191096i | −0.0116696 | + | 0.00847849i | ||||
\(509\) | −18.8242 | − | 36.9445i | −0.834367 | − | 1.63754i | −0.768624 | − | 0.639700i | \(-0.779059\pi\) |
−0.0657422 | − | 0.997837i | \(-0.520941\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.694577 | + | 4.38538i | −0.0307263 | + | 0.193998i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.30978 | + | 8.26961i | −0.0577718 | + | 0.364757i | ||||
\(515\) | −24.7681 | − | 17.9951i | −1.09141 | − | 0.792957i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.26551 | + | 2.37253i | −0.143617 | + | 0.104344i | ||||
\(518\) | 3.38682 | + | 1.72567i | 0.148808 | + | 0.0758216i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.519009 | + | 3.27689i | 0.0227600 | + | 0.143701i | ||||
\(521\) | −16.4215 | + | 32.2289i | −0.719437 | + | 1.41197i | 0.183857 | + | 0.982953i | \(0.441142\pi\) |
−0.903294 | + | 0.429022i | \(0.858858\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.28998 | − | 10.1255i | 0.143861 | − | 0.442758i | −0.853002 | − | 0.521908i | \(-0.825221\pi\) |
0.996863 | + | 0.0791497i | \(0.0252205\pi\) | |||||||
\(524\) | 0.949476i | 0.0414781i | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.4830 | + | 2.29388i | 0.631487 | + | 0.100018i | ||||
\(527\) | −4.57929 | + | 0.725288i | −0.199477 | + | 0.0315940i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.30498 | − | 7.09401i | −0.100217 | − | 0.308435i | ||||
\(530\) | −6.91755 | − | 6.91755i | −0.300479 | − | 0.300479i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.22648 | −0.0965304 | ||||||||
\(533\) | −8.66031 | + | 1.10660i | −0.375120 | + | 0.0479321i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.4342 | − | 18.4905i | 0.580810 | − | 0.799416i | ||||
\(536\) | −6.76041 | − | 6.76041i | −0.292005 | − | 0.292005i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.5345 | − | 4.72253i | 0.626625 | − | 0.203603i | ||||
\(539\) | 12.1141 | − | 1.91868i | 0.521789 | − | 0.0826433i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 22.2634 | + | 7.23382i | 0.957178 | + | 0.311006i | 0.745629 | − | 0.666361i | \(-0.232149\pi\) |
0.211549 | + | 0.977367i | \(0.432149\pi\) | |||||||
\(542\) | − | 9.39672i | − | 0.403624i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.964619 | + | 0.491498i | −0.0413577 | + | 0.0210728i | ||||
\(545\) | 7.59890 | − | 14.9137i | 0.325501 | − | 0.638832i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.03293 | − | 3.03293i | 0.129679 | − | 0.129679i | −0.639288 | − | 0.768967i | \(-0.720771\pi\) |
0.768967 | + | 0.639288i | \(0.220771\pi\) | |||||||
\(548\) | −7.84704 | − | 3.99827i | −0.335209 | − | 0.170798i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.800941 | − | 1.57193i | −0.0341522 | − | 0.0670275i | ||||
\(551\) | −4.60643 | − | 3.34677i | −0.196241 | − | 0.142577i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.39707 | + | 1.92291i | 0.0594096 | + | 0.0817704i | ||||
\(554\) | 13.5178 | + | 18.6057i | 0.574317 | + | 0.790479i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.4867 | + | 11.2518i | 0.656783 | + | 0.477181i | ||||
\(557\) | 13.7726 | + | 27.0302i | 0.583563 | + | 1.14531i | 0.974395 | + | 0.224844i | \(0.0721874\pi\) |
−0.390832 | + | 0.920462i | \(0.627813\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.40077 | − | 4.78993i | −0.397610 | − | 0.202592i | ||||
\(560\) | 1.33236 | − | 1.33236i | 0.0563027 | − | 0.0563027i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.86407 | + | 7.58367i | −0.162996 | + | 0.319898i | ||||
\(563\) | 6.34322 | − | 3.23203i | 0.267335 | − | 0.136214i | −0.315185 | − | 0.949030i | \(-0.602067\pi\) |
0.582520 | + | 0.812816i | \(0.302067\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 41.4287i | 1.74292i | ||||||||
\(566\) | 18.2098 | + | 5.91672i | 0.765415 | + | 0.248698i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.93254 | − | 0.306084i | 0.0810875 | − | 0.0128430i | ||||
\(569\) | −5.32173 | + | 1.72913i | −0.223098 | + | 0.0724891i | −0.418433 | − | 0.908248i | \(-0.637421\pi\) |
0.195335 | + | 0.980737i | \(0.437421\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.3425 | + | 21.3425i | 0.893157 | + | 0.893157i | 0.994819 | − | 0.101662i | \(-0.0324159\pi\) |
−0.101662 | + | 0.994819i | \(0.532416\pi\) | |||||||
\(572\) | 1.53583 | − | 2.11389i | 0.0642164 | − | 0.0883863i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.39944 | + | 3.60971i | 0.141890 | + | 0.150666i | ||||
\(575\) | −3.62932 | −0.151353 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.8553 | − | 12.8553i | −0.535175 | − | 0.535175i | 0.386933 | − | 0.922108i | \(-0.373534\pi\) |
−0.922108 | + | 0.386933i | \(0.873534\pi\) | |||||||
\(578\) | 4.89110 | + | 15.0533i | 0.203443 | + | 0.626133i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.75932 | − | 0.753803i | 0.197620 | − | 0.0313000i | ||||
\(581\) | −2.58288 | − | 0.409089i | −0.107156 | − | 0.0169719i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.70460i | 0.319092i | ||||||||
\(584\) | −1.77181 | + | 5.45306i | −0.0733179 | + | 0.225649i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.3722 | + | 26.2445i | −0.552402 | + | 1.08415i | ||||
\(587\) | −4.20437 | − | 26.5453i | −0.173533 | − | 1.09564i | −0.908606 | − | 0.417655i | \(-0.862852\pi\) |
0.735073 | − | 0.677988i | \(-0.237148\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.9711 | − | 5.59005i | −0.452056 | − | 0.230334i | ||||
\(590\) | −8.42645 | + | 6.12217i | −0.346911 | + | 0.252046i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.97114 | + | 2.88520i | 0.163213 | + | 0.118581i | ||||
\(593\) | 0.889337 | − | 5.61505i | 0.0365207 | − | 0.230583i | −0.962676 | − | 0.270656i | \(-0.912759\pi\) |
0.999197 | + | 0.0400737i | \(0.0127593\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.19903 | + | 1.65033i | 0.0491556 | + | 0.0676569i | ||||
\(596\) | −1.75819 | + | 11.1008i | −0.0720185 | + | 0.454707i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.44030 | − | 4.78936i | −0.0997913 | − | 0.195851i | ||||
\(599\) | −0.0983430 | + | 0.0714504i | −0.00401819 | + | 0.00291938i | −0.589793 | − | 0.807555i | \(-0.700790\pi\) |
0.585774 | + | 0.810474i | \(0.300790\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.7773 | + | 23.7773i | −0.969896 | + | 0.969896i | −0.999560 | − | 0.0296638i | \(-0.990556\pi\) |
0.0296638 | + | 0.999560i | \(0.490556\pi\) | |||||||
\(602\) | 0.937369 | + | 5.91831i | 0.0382043 | + | 0.241212i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.0929 | − | 6.67119i | 0.532744 | − | 0.271447i | ||||
\(605\) | 5.50981 | − | 16.9574i | 0.224005 | − | 0.689418i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.8182 | − | 5.13964i | −0.642040 | − | 0.208611i | −0.0301389 | − | 0.999546i | \(-0.509595\pi\) |
−0.611901 | + | 0.790934i | \(0.709595\pi\) | |||||||
\(608\) | −2.83979 | − | 0.449778i | −0.115169 | − | 0.0182409i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.803133 | − | 0.260954i | 0.0325179 | − | 0.0105657i | ||||
\(611\) | −0.887496 | − | 2.73143i | −0.0359043 | − | 0.110502i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.69647 | − | 2.33499i | 0.0685197 | − | 0.0943093i | −0.773382 | − | 0.633941i | \(-0.781436\pi\) |
0.841901 | + | 0.539631i | \(0.181436\pi\) | |||||||
\(614\) | 12.0544 | 0.486475 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.48395 | −0.0597902 | ||||||||
\(617\) | 18.4240 | − | 25.3585i | 0.741724 | − | 1.02090i | −0.256794 | − | 0.966466i | \(-0.582666\pi\) |
0.998518 | − | 0.0544288i | \(-0.0173338\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.39522 | − | 19.6825i | −0.257046 | − | 0.791105i | −0.993420 | − | 0.114531i | \(-0.963464\pi\) |
0.736374 | − | 0.676575i | \(-0.236536\pi\) | |||||||
\(620\) | 9.91045 | − | 3.22010i | 0.398013 | − | 0.129322i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −23.8968 | − | 3.78488i | −0.958174 | − | 0.151760i | ||||
\(623\) | −1.34475 | − | 0.436934i | −0.0538761 | − | 0.0175054i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.88597 | + | 27.3482i | −0.355439 | + | 1.09393i | ||||
\(626\) | 10.7310 | − | 5.46771i | 0.428897 | − | 0.218534i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.23175 | + | 14.0907i | 0.0890567 | + | 0.562282i | ||||
\(629\) | −3.75766 | + | 3.75766i | −0.149828 | + | 0.149828i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.73368 | − | 4.16576i | 0.228254 | − | 0.165836i | −0.467780 | − | 0.883845i | \(-0.654946\pi\) |
0.696034 | + | 0.718008i | \(0.254946\pi\) | |||||||
\(632\) | 1.39346 | + | 2.73481i | 0.0554288 | + | 0.108785i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.30494 | + | 20.8666i | −0.131256 | + | 0.828718i | ||||
\(635\) | 0.464980 | + | 0.639991i | 0.0184522 | + | 0.0253973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.36519 | + | 8.61948i | −0.0540908 | + | 0.341516i | ||||
\(638\) | −3.07019 | − | 2.23063i | −0.121550 | − | 0.0883113i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.96853 | − | 1.43022i | 0.0778129 | − | 0.0565344i | ||||
\(641\) | −44.6481 | − | 22.7493i | −1.76349 | − | 0.898545i | −0.947028 | − | 0.321151i | \(-0.895930\pi\) |
−0.816466 | − | 0.577394i | \(-0.804070\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.00859 | + | 31.6230i | 0.197519 | + | 1.24709i | 0.864737 | + | 0.502226i | \(0.167485\pi\) |
−0.667217 | + | 0.744863i | \(0.732515\pi\) | |||||||
\(644\) | −1.38592 | + | 2.72003i | −0.0546130 | + | 0.107184i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.961885 | − | 2.96038i | 0.0378449 | − | 0.116475i | ||||
\(647\) | 25.2616i | 0.993138i | 0.867997 | + | 0.496569i | \(0.165407\pi\) | ||||
−0.867997 | + | 0.496569i | \(0.834593\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.10195 | + | 1.28322i | 0.318029 | + | 0.0503709i | ||||
\(650\) | 1.23984 | − | 0.196371i | 0.0486304 | − | 0.00770230i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.45701 | + | 7.56189i | 0.0962238 | + | 0.296146i | ||||
\(653\) | −15.0916 | − | 15.0916i | −0.590578 | − | 0.590578i | 0.347210 | − | 0.937788i | \(-0.387129\pi\) |
−0.937788 | + | 0.347210i | \(0.887129\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.31030 | 0.0902708 | ||||||||
\(656\) | 3.60664 | + | 5.29076i | 0.140816 | + | 0.206570i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.958735 | + | 1.31959i | −0.0373754 | + | 0.0514428i | ||||
\(659\) | −32.0138 | − | 32.0138i | −1.24708 | − | 1.24708i | −0.957004 | − | 0.290076i | \(-0.906320\pi\) |
−0.290076 | − | 0.957004i | \(-0.593680\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.1198 | + | 5.56258i | −0.665885 | + | 0.216359i | −0.622405 | − | 0.782695i | \(-0.713844\pi\) |
−0.0434797 | + | 0.999054i | \(0.513844\pi\) | |||||||
\(662\) | −12.9194 | + | 2.04623i | −0.502127 | + | 0.0795290i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.21172 | − | 1.04355i | −0.124639 | − | 0.0404976i | ||||
\(665\) | 5.41756i | 0.210084i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.95601 | + | 3.54427i | −0.269338 | + | 0.137234i | ||||
\(668\) | 2.52413 | − | 4.95389i | 0.0976617 | − | 0.191672i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16.4497 | + | 16.4497i | −0.635506 | + | 0.635506i | ||||
\(671\) | −0.592577 | − | 0.301933i | −0.0228762 | − | 0.0116560i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.05006 | − | 11.8739i | −0.233213 | − | 0.457705i | 0.744509 | − | 0.667613i | \(-0.232684\pi\) |
−0.977721 | + | 0.209907i | \(0.932684\pi\) | |||||||
\(674\) | 28.1058 | + | 20.4201i | 1.08259 | + | 0.786551i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.54842 | − | 9.01313i | −0.251862 | − | 0.346659i | ||||
\(677\) | 21.8833 | + | 30.1198i | 0.841043 | + | 1.15760i | 0.985766 | + | 0.168124i | \(0.0537710\pi\) |
−0.144723 | + | 0.989472i | \(0.546229\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.92624 | + | 1.39949i | 0.0739222 | + | 0.0537076i | ||||
\(680\) | 1.19593 | + | 2.34715i | 0.0458618 | + | 0.0900089i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.31224 | − | 3.72577i | −0.280000 | − | 0.142667i | ||||
\(683\) | −23.2969 | + | 23.2969i | −0.891432 | + | 0.891432i | −0.994658 | − | 0.103226i | \(-0.967084\pi\) |
0.103226 | + | 0.994658i | \(0.467084\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.72873 | + | 19.0937i | −0.371716 | + | 0.729533i | ||||
\(686\) | 9.24593 | − | 4.71103i | 0.353011 | − | 0.179868i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.73792i | 0.295005i | ||||||||
\(689\) | −5.21372 | − | 1.69404i | −0.198627 | − | 0.0645378i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.0811 | − | 1.75507i | 0.421544 | − | 0.0667660i | 0.0579411 | − | 0.998320i | \(-0.481546\pi\) |
0.363603 | + | 0.931554i | \(0.381546\pi\) | |||||||
\(692\) | 4.54089 | − | 1.47542i | 0.172619 | − | 0.0560872i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.1409 | + | 13.1409i | 0.498822 | + | 0.498822i | ||||
\(695\) | 27.3782 | − | 37.6828i | 1.03851 | − | 1.42939i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.26817 | + | 2.96050i | −0.237424 | + | 0.112137i | ||||
\(698\) | −7.61250 | −0.288137 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.504110 | − | 0.504110i | −0.0190536 | − | 0.0190536i | ||||
\(701\) | 7.94928 | + | 24.4654i | 0.300240 | + | 0.924045i | 0.981411 | + | 0.191920i | \(0.0614713\pi\) |
−0.681170 | + | 0.732125i | \(0.738529\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.9394 | + | 2.20778i | −0.525734 | + | 0.0832680i | ||||
\(704\) | −1.89272 | − | 0.299778i | −0.0713346 | − | 0.0112983i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.54973i | 0.246502i | ||||||||
\(707\) | 1.32862 | − | 4.08907i | 0.0499679 | − | 0.153785i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.76599 | − | 3.46596i | 0.0663233 | − | 0.130167i | −0.855465 | − | 0.517861i | \(-0.826728\pi\) |
0.921788 | + | 0.387694i | \(0.126728\pi\) | |||||||
\(710\) | −0.744774 | − | 4.70232i | −0.0279509 | − | 0.176475i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.62690 | − | 0.828947i | −0.0609707 | − | 0.0310661i | ||||
\(713\) | −13.6584 | + | 9.92338i | −0.511510 | + | 0.371634i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.14360 | − | 3.73704i | −0.192360 | − | 0.139757i | ||||
\(716\) | −2.24113 | + | 14.1499i | −0.0837548 | + | 0.528807i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.5605 | − | 15.9117i | −0.431434 | − | 0.593818i | ||||
\(719\) | −5.26564 | + | 33.2459i | −0.196375 | + | 1.23986i | 0.670716 | + | 0.741714i | \(0.265987\pi\) |
−0.867091 | + | 0.498150i | \(0.834013\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.42335 | + | 8.68131i | 0.164734 | + | 0.323309i | ||||
\(722\) | −8.68343 | + | 6.30888i | −0.323164 | + | 0.234792i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.2439 | − | 14.2439i | 0.529372 | − | 0.529372i | ||||
\(725\) | −0.285207 | − | 1.80073i | −0.0105923 | − | 0.0668773i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −36.3179 | + | 18.5049i | −1.34696 | + | 0.686308i | −0.970719 | − | 0.240216i | \(-0.922782\pi\) |
−0.376236 | + | 0.926524i | \(0.622782\pi\) | |||||||
\(728\) | 0.326283 | − | 1.00420i | 0.0120928 | − | 0.0372180i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.2686 | + | 4.31122i | 0.491092 | + | 0.159565i | ||||
\(731\) | −8.27407 | − | 1.31048i | −0.306027 | − | 0.0484700i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.8746 | + | 6.13273i | −0.697149 | + | 0.226517i | −0.636088 | − | 0.771617i | \(-0.719448\pi\) |
−0.0610611 | + | 0.998134i | \(0.519448\pi\) | |||||||
\(734\) | 6.28390 | + | 19.3399i | 0.231943 | + | 0.713847i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.31716 | + | 3.18930i | −0.0854118 | + | 0.117559i | ||||
\(737\) | 18.3212 | 0.674871 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.22606 | 0.229029 | 0.114515 | − | 0.993422i | \(-0.463469\pi\) | ||||
0.114515 | + | 0.993422i | \(0.463469\pi\) | |||||||
\(740\) | 7.02037 | − | 9.66272i | 0.258074 | − | 0.355209i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.962098 | + | 2.96103i | 0.0353197 | + | 0.108703i | ||||
\(743\) | 10.6206 | − | 3.45085i | 0.389633 | − | 0.126599i | −0.107648 | − | 0.994189i | \(-0.534332\pi\) |
0.497281 | + | 0.867590i | \(0.334332\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 27.0109 | + | 4.27810i | 0.989602 | + | 0.156737i | ||||
\(746\) | 12.7705 | + | 4.14940i | 0.467563 | + | 0.151920i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.641098 | − | 1.97310i | 0.0234409 | − | 0.0721435i | ||||
\(749\) | −6.48101 | + | 3.30224i | −0.236811 | + | 0.120661i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.99299 | + | 37.8382i | 0.218687 | + | 1.38074i | 0.815686 | + | 0.578495i | \(0.196360\pi\) |
−0.596999 | + | 0.802242i | \(0.703640\pi\) | |||||||
\(752\) | −1.48940 | + | 1.48940i | −0.0543128 | + | 0.0543128i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.18452 | − | 1.58715i | 0.0795557 | − | 0.0578006i | ||||
\(755\) | −16.2326 | − | 31.8582i | −0.590764 | − | 1.15944i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.92466 | − | 43.7206i | 0.251681 | − | 1.58905i | −0.460894 | − | 0.887455i | \(-0.652471\pi\) |
0.712575 | − | 0.701596i | \(-0.247529\pi\) | |||||||
\(758\) | 13.3412 | + | 18.3627i | 0.484576 | + | 0.666962i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.09442 | + | 6.90987i | −0.0396986 | + | 0.250647i | ||||
\(761\) | −26.0808 | − | 18.9488i | −0.945429 | − | 0.686895i | 0.00429204 | − | 0.999991i | \(-0.498634\pi\) |
−0.949721 | + | 0.313096i | \(0.898634\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.30955 | + | 3.13107i | −0.156016 | + | 0.113352i | ||||
\(764\) | 16.1552 | + | 8.23151i | 0.584476 | + | 0.297805i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.80238 | + | 17.6935i | 0.101254 | + | 0.639292i | ||||
\(767\) | −2.64977 | + | 5.20046i | −0.0956776 | + | 0.187778i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.494981 | − | 1.52340i | 0.0178495 | − | 0.0549350i | −0.941735 | − | 0.336356i | \(-0.890806\pi\) |
0.959585 | + | 0.281421i | \(0.0908056\pi\) | |||||||
\(770\) | 3.61081i | 0.130125i | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.10093 | + | 0.491139i | 0.111605 | + | 0.0176765i | ||||
\(773\) | 4.09040 | − | 0.647855i | 0.147121 | − | 0.0233017i | −0.0824393 | − | 0.996596i | \(-0.526271\pi\) |
0.229561 | + | 0.973294i | \(0.426271\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.21835 | − | 3.74969i | −0.0437644 | − | 0.134693i | ||||
\(776\) | 2.17412 | + | 2.17412i | 0.0780463 | + | 0.0780463i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −14.4973 | −0.519752 | ||||||||
\(779\) | −18.0890 | − | 3.42393i | −0.648105 | − | 0.122675i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.20391 | + | 3.03342i | −0.0788621 | + | 0.108544i | ||||
\(782\) | −3.01785 | − | 3.01785i | −0.107918 | − | 0.107918i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.08708 | − | 1.97781i | 0.217396 | − | 0.0706362i | ||||
\(785\) | 34.2861 | − | 5.43038i | 1.22372 | − | 0.193819i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 38.8428 | + | 12.6208i | 1.38460 | + | 0.449882i | 0.904177 | − | 0.427157i | \(-0.140485\pi\) |
0.480418 | + | 0.877040i | \(0.340485\pi\) | |||||||
\(788\) | 1.95581i | 0.0696728i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.65445 | − | 3.39061i | 0.236755 | − | 0.120633i | ||||
\(791\) | 5.98574 | − | 11.7477i | 0.212828 | − | 0.417699i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.334611 | − | 0.334611i | 0.0118824 | − | 0.0118824i | ||||
\(794\) | −10.4453 | − | 5.32215i | −0.370690 | − | 0.188876i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.949460 | + | 1.86342i | 0.0336527 | + | 0.0660472i | ||||
\(797\) | 7.00031 | + | 5.08602i | 0.247964 | + | 0.180156i | 0.704824 | − | 0.709382i | \(-0.251026\pi\) |
−0.456860 | + | 0.889539i | \(0.651026\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.34035 | − | 1.84484i | −0.0474183 | − | 0.0652658i | ||||
\(800\) | −0.541135 | − | 0.744808i | −0.0191320 | − | 0.0263329i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.76340 | − | 4.18736i | −0.203513 | − | 0.147861i | ||||
\(803\) | −4.98824 | − | 9.78998i | −0.176031 | − | 0.345481i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.61846 | + | 3.37227i | 0.233270 | + | 0.118857i | ||||
\(806\) | 4.12901 | − | 4.12901i | 0.145438 | − | 0.145438i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.52064 | − | 4.94704i | 0.0886759 | − | 0.174036i | ||||
\(809\) | 9.49659 | − | 4.83875i | 0.333882 | − | 0.170122i | −0.279010 | − | 0.960288i | \(-0.590006\pi\) |
0.612892 | + | 0.790167i | \(0.290006\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.9832i | 0.982624i | 0.870984 | + | 0.491312i | \(0.163482\pi\) | ||||
−0.870984 | + | 0.491312i | \(0.836518\pi\) | |||||||
\(812\) | −1.45848 | − | 0.473890i | −0.0511827 | − | 0.0166303i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −9.29061 | + | 1.47149i | −0.325636 | + | 0.0515756i | ||||
\(815\) | 18.3998 | − | 5.97847i | 0.644518 | − | 0.209417i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.7317 | − | 15.7317i | −0.550382 | − | 0.550382i | ||||
\(818\) | 13.6148 | − | 18.7391i | 0.476030 | − | 0.655199i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 12.8737 | − | 8.77580i | 0.449568 | − | 0.306464i | ||||
\(821\) | 11.1940 | 0.390675 | 0.195337 | − | 0.980736i | \(-0.437420\pi\) | ||||
0.195337 | + | 0.980736i | \(0.437420\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.3592 | − | 26.3592i | −0.918825 | − | 0.918825i | 0.0781190 | − | 0.996944i | \(-0.475109\pi\) |
−0.996944 | + | 0.0781190i | \(0.975109\pi\) | |||||||
\(824\) | 3.88806 | + | 11.9662i | 0.135447 | + | 0.416863i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.27398 | − | 0.518548i | 0.113916 | − | 0.0180426i | ||||
\(827\) | 27.7671 | + | 4.39788i | 0.965557 | + | 0.152929i | 0.619252 | − | 0.785193i | \(-0.287436\pi\) |
0.346305 | + | 0.938122i | \(0.387436\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.1987i | 1.22250i | 0.791437 | + | 0.611250i | \(0.209333\pi\) | ||||
−0.791437 | + | 0.611250i | \(0.790667\pi\) | |||||||
\(830\) | −2.53920 | + | 7.81487i | −0.0881370 | + | 0.271258i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.619020 | − | 1.21490i | 0.0214607 | − | 0.0421189i | ||||
\(833\) | 1.08395 | + | 6.84381i | 0.0375567 | + | 0.237124i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.0540 | − | 6.14181i | −0.417145 | − | 0.212546i | ||||
\(836\) | 4.45749 | − | 3.23856i | 0.154166 | − | 0.112008i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −22.3703 | − | 16.2530i | −0.772770 | − | 0.561451i | ||||
\(839\) | 8.72142 | − | 55.0649i | 0.301097 | − | 1.90105i | −0.117836 | − | 0.993033i | \(-0.537596\pi\) |
0.418933 | − | 0.908017i | \(-0.362404\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.7406 | + | 20.2887i | 0.508297 | + | 0.699611i | ||||
\(842\) | −2.09224 | + | 13.2099i | −0.0721034 | + | 0.455243i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 7.40243 | + | 14.5281i | 0.254802 | + | 0.500077i | ||||
\(845\) | −21.9311 | + | 15.9339i | −0.754452 | + | 0.548141i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.01244 | + | 4.01244i | −0.137869 | + | 0.137869i | ||||
\(848\) | 0.628949 | + | 3.97103i | 0.0215982 | + | 0.136366i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.888060 | − | 0.452489i | 0.0304602 | − | 0.0155203i | ||||
\(851\) | −5.97968 | + | 18.4036i | −0.204981 | + | 0.630866i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.90870 | + | 0.945093i | 0.0995919 | + | 0.0323594i | 0.358389 | − | 0.933572i | \(-0.383326\pi\) |
−0.258797 | + | 0.965932i | \(0.583326\pi\) | |||||||
\(854\) | −0.265443 | − | 0.0420420i | −0.00908326 | − | 0.00143865i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.93335 | + | 2.90262i | −0.305336 | + | 0.0992095i | ||||
\(857\) | −1.49279 | − | 4.59433i | −0.0509927 | − | 0.156939i | 0.922317 | − | 0.386433i | \(-0.126293\pi\) |
−0.973310 | + | 0.229494i | \(0.926293\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.924855 | − | 1.27295i | 0.0315557 | − | 0.0434326i | −0.792948 | − | 0.609290i | \(-0.791455\pi\) |
0.824503 | + | 0.565857i | \(0.191455\pi\) | |||||||
\(860\) | 18.8282 | 0.642035 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −23.1363 | −0.788025 | ||||||||
\(863\) | 28.0756 | − | 38.6428i | 0.955706 | − | 1.31542i | 0.00675970 | − | 0.999977i | \(-0.497848\pi\) |
0.948946 | − | 0.315439i | \(-0.102152\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.59005 | − | 11.0490i | −0.122065 | − | 0.375679i | ||||
\(866\) | −12.4605 | + | 4.04865i | −0.423424 | + | 0.137579i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.27549 | − | 0.518787i | −0.111177 | − | 0.0176088i | ||||
\(869\) | −5.59397 | − | 1.81759i | −0.189763 | − | 0.0616576i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.02836 | + | 12.3980i | −0.136496 | + | 0.420091i | ||||
\(872\) | −6.12916 | + | 3.12296i | −0.207560 | + | 0.105757i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.77311 | − | 11.1950i | −0.0599765 | − | 0.378677i | ||||
\(875\) | 5.43520 | − | 5.43520i | 0.183743 | − | 0.183743i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.6825 | − | 12.8471i | 0.597096 | − | 0.433815i | −0.247751 | − | 0.968824i | \(-0.579692\pi\) |
0.844847 | + | 0.535008i | \(0.179692\pi\) | |||||||
\(878\) | −2.90888 | − | 5.70900i | −0.0981700 | − | 0.192669i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.729430 | + | 4.60544i | −0.0245891 | + | 0.155249i | ||||
\(881\) | −5.80881 | − | 7.99514i | −0.195704 | − | 0.269363i | 0.699876 | − | 0.714265i | \(-0.253239\pi\) |
−0.895580 | + | 0.444901i | \(0.853239\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.0424055 | − | 0.267738i | 0.00142706 | − | 0.00901009i | −0.986965 | − | 0.160938i | \(-0.948548\pi\) |
0.988392 | + | 0.151928i | \(0.0485481\pi\) | |||||||
\(884\) | 1.19424 | + | 0.867665i | 0.0401666 | + | 0.0291827i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.9444 | − | 15.9435i | 0.737236 | − | 0.535633i | ||||
\(887\) | 24.0394 | + | 12.2487i | 0.807164 | + | 0.411271i | 0.808331 | − | 0.588729i | \(-0.200371\pi\) |
−0.00116658 | + | 0.999999i | \(0.500371\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.0393838 | − | 0.248660i | −0.00132089 | − | 0.00833978i | ||||
\(890\) | −2.01702 | + | 3.95863i | −0.0676108 | + | 0.132694i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.24923 | − | 10.0001i | 0.108792 | − | 0.334828i | ||||
\(893\) | − | 6.05609i | − | 0.202659i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 34.4301 | + | 5.45319i | 1.15087 | + | 0.182280i | ||||
\(896\) | −0.764846 | + | 0.121140i | −0.0255517 | + | 0.00404699i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.72910 | + | 20.7100i | 0.224553 | + | 0.691103i | ||||
\(899\) | −5.99693 | − | 5.99693i | −0.200009 | − | 0.200009i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.35269 | −0.145009 | ||||||||
\(902\) | −12.0563 | − | 2.28206i | −0.401432 | − | 0.0759841i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.0077 | − | 13.7745i | 0.332852 | − | 0.458132i | ||||
\(905\) | −34.6588 | − | 34.6588i | −1.15210 | − | 1.15210i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.9029 | − | 4.19242i | 0.428435 | − | 0.139207i | −0.0868588 | − | 0.996221i | \(-0.527683\pi\) |
0.515294 | + | 0.857014i | \(0.327683\pi\) | |||||||
\(908\) | 22.0490 | − | 3.49222i | 0.731722 | − | 0.115893i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.44344 | − | 0.793923i | −0.0809994 | − | 0.0263183i | ||||
\(911\) | 24.3266i | 0.805977i | 0.915205 | + | 0.402989i | \(0.132029\pi\) | ||||
−0.915205 | + | 0.402989i | \(0.867971\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.76606 | − | 2.93795i | 0.190829 | − | 0.0972320i | ||||
\(914\) | 10.1975 | − | 20.0138i | 0.337304 | − | 0.661997i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −16.8504 | + | 16.8504i | −0.556753 | + | 0.556753i | ||||
\(917\) | −0.655117 | − | 0.333799i | −0.0216339 | − | 0.0110230i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.59676 | + | 14.9095i | 0.250594 | + | 0.491819i | 0.981697 | − | 0.190448i | \(-0.0609942\pi\) |
−0.731103 | + | 0.682267i | \(0.760994\pi\) | |||||||
\(920\) | 7.76033 | + | 5.63821i | 0.255850 | + | 0.185886i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.245618 | + | 0.338064i | 0.00808900 | + | 0.0111336i | ||||
\(923\) | −1.56814 | − | 2.15836i | −0.0516160 | − | 0.0710433i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.65596 | − | 2.65621i | −0.120207 | − | 0.0873357i | ||||
\(926\) | 10.7351 | + | 21.0688i | 0.352777 | + | 0.692364i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.76450 | − | 0.899058i | −0.0579226 | − | 0.0295130i | ||||
\(929\) | −17.2358 | + | 17.2358i | −0.565488 | + | 0.565488i | −0.930861 | − | 0.365373i | \(-0.880941\pi\) |
0.365373 | + | 0.930861i | \(0.380941\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.35440 | + | 16.3964i | −0.273805 | + | 0.537372i | ||||
\(932\) | −3.97965 | + | 2.02773i | −0.130358 | + | 0.0664206i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 33.7651i | − | 1.10483i | ||||||
\(935\) | −4.80101 | − | 1.55994i | −0.157010 | − | 0.0510155i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.0319 | − | 2.06405i | 0.425735 | − | 0.0674297i | 0.0601091 | − | 0.998192i | \(-0.480855\pi\) |
0.365625 | + | 0.930762i | \(0.380855\pi\) | |||||||
\(938\) | 7.04122 | − | 2.28783i | 0.229904 | − | 0.0747003i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 3.62406 | + | 3.62406i | 0.118204 | + | 0.118204i | ||||
\(941\) | 33.0734 | − | 45.5216i | 1.07816 | − | 1.48396i | 0.216634 | − | 0.976253i | \(-0.430492\pi\) |
0.861528 | − | 0.507710i | \(-0.169508\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −15.4428 | + | 19.9674i | −0.502886 | + | 0.650229i | ||||
\(944\) | 4.28058 | 0.139321 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.4852 | − | 10.4852i | −0.340903 | − | 0.340903i | ||||
\(947\) | 7.84188 | + | 24.1348i | 0.254827 | + | 0.784277i | 0.993864 | + | 0.110612i | \(0.0352809\pi\) |
−0.739037 | + | 0.673665i | \(0.764719\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.72168 | − | 1.22299i | 0.250656 | − | 0.0397001i | ||||
\(950\) | 2.61440 | + | 0.414081i | 0.0848224 | + | 0.0134346i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | − | 0.838357i | − | 0.0271713i | ||||||
\(953\) | −15.9665 | + | 49.1399i | −0.517206 | + | 1.59180i | 0.262025 | + | 0.965061i | \(0.415610\pi\) |
−0.779232 | + | 0.626736i | \(0.784390\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 20.0292 | − | 39.3095i | 0.648129 | − | 1.27203i | ||||
\(956\) | −2.73645 | − | 17.2772i | −0.0885030 | − | 0.558786i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.53499 | − | 3.83927i | −0.243444 | − | 0.124041i | ||||
\(959\) | 5.51743 | − | 4.00865i | 0.178167 | − | 0.129446i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.2419 | + | 7.44121i | 0.330385 | + | 0.240039i | ||||
\(962\) | 1.04700 | − | 6.61052i | 0.0337568 | − | 0.213132i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.33800 | − | 12.8527i | −0.300757 | − | 0.413956i | ||||
\(965\) | 1.19506 | − | 7.54529i | 0.0384702 | − | 0.242892i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.3168 | − | 39.8740i | −0.653344 | − | 1.28226i | −0.945417 | − | 0.325864i | \(-0.894345\pi\) |
0.292073 | − | 0.956396i | \(-0.405655\pi\) | |||||||
\(968\) | −5.92826 | + | 4.30714i | −0.190542 | + | 0.138437i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.29014 | − | 5.29014i | 0.169856 | − | 0.169856i | ||||
\(971\) | −6.03360 | − | 38.0947i | −0.193628 | − | 1.22252i | −0.872631 | − | 0.488381i | \(-0.837588\pi\) |
0.679003 | − | 0.734135i | \(-0.262412\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −13.2080 | + | 6.72980i | −0.423428 | + | 0.215747i | ||||
\(974\) | −1.80097 | + | 5.54282i | −0.0577069 | + | 0.177604i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.330068 | − | 0.107246i | −0.0105652 | − | 0.00343285i | ||||
\(977\) | −35.5535 | − | 5.63113i | −1.13746 | − | 0.180156i | −0.440832 | − | 0.897590i | \(-0.645316\pi\) |
−0.696626 | + | 0.717434i | \(0.745316\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.32777 | − | 1.08126i | 0.106356 | − | 0.0345572i | ||||
\(980\) | −4.81248 | − | 14.8113i | −0.153729 | − | 0.473130i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.28088 | + | 1.76298i | −0.0408746 | + | 0.0562590i | ||||
\(983\) | 19.4487 | 0.620316 | 0.310158 | − | 0.950685i | \(-0.399618\pi\) | ||||
0.310158 | + | 0.950685i | \(0.399618\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.75894 | 0.151633 | ||||||||
\(986\) | 1.26019 | − | 1.73450i | 0.0401325 | − | 0.0552377i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.21145 | + | 3.72847i | 0.0385414 | + | 0.118618i | ||||
\(989\) | −29.0114 | + | 9.42638i | −0.922509 | + | 0.299741i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.1497 | − | 3.66655i | −0.735374 | − | 0.116472i | −0.222496 | − | 0.974934i | \(-0.571421\pi\) |
−0.512878 | + | 0.858462i | \(0.671421\pi\) | |||||||
\(992\) | −4.07295 | − | 1.32338i | −0.129316 | − | 0.0420174i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.468214 | + | 1.44101i | −0.0148508 | + | 0.0457062i | ||||
\(995\) | 4.53414 | − | 2.31026i | 0.143742 | − | 0.0732401i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.11136 | − | 25.9581i | −0.130208 | − | 0.822101i | −0.963194 | − | 0.268807i | \(-0.913371\pi\) |
0.832986 | − | 0.553294i | \(-0.186629\pi\) | |||||||
\(998\) | −3.22553 | + | 3.22553i | −0.102102 | + | 0.102102i | ||||
\(999\) | 0 | 0 |
(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 | 738.2.u.d.541.1 | yes | 24 | |
3.2 | odd | 2 | 738.2.u.c.541.3 | yes | 24 | ||
41.36 | even | 20 | inner | 738.2.u.d.487.1 | yes | 24 | |
123.77 | odd | 20 | 738.2.u.c.487.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
738.2.u.c.487.3 | ✓ | 24 | 123.77 | odd | 20 | ||
738.2.u.c.541.3 | yes | 24 | 3.2 | odd | 2 | ||
738.2.u.d.487.1 | yes | 24 | 41.36 | even | 20 | inner | |
738.2.u.d.541.1 | yes | 24 | 1.1 | even | 1 | trivial |