Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (of order \(9\), degree \(6\), 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: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Root | \(1.60792 - 2.78500i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.81 |
Dual form | 190.2.k.d.61.1 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | −0.558424 | + | 3.16698i | −0.322406 | + | 1.82846i | 0.204901 | + | 0.978783i | \(0.434313\pi\) |
−0.527307 | + | 0.849675i | \(0.676798\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.766044 | + | 0.642788i | 0.342585 | + | 0.287463i | ||||
\(6\) | 0.558424 | + | 3.16698i | 0.227976 | + | 1.29291i | ||||
\(7\) | 0.0116976 | + | 0.0202608i | 0.00442126 | + | 0.00765785i | 0.868228 | − | 0.496166i | \(-0.165259\pi\) |
−0.863806 | + | 0.503824i | \(0.831926\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −6.89886 | − | 2.51098i | −2.29962 | − | 0.836993i | ||||
\(10\) | 0.939693 | + | 0.342020i | 0.297157 | + | 0.108156i | ||||
\(11\) | −1.08041 | + | 1.87132i | −0.325755 | + | 0.564225i | −0.981665 | − | 0.190615i | \(-0.938952\pi\) |
0.655910 | + | 0.754839i | \(0.272285\pi\) | |||||||
\(12\) | 1.60792 | + | 2.78500i | 0.464166 | + | 0.803959i | ||||
\(13\) | −0.276152 | − | 1.56613i | −0.0765907 | − | 0.434368i | −0.998856 | − | 0.0478110i | \(-0.984775\pi\) |
0.922266 | − | 0.386557i | \(-0.126336\pi\) | |||||||
\(14\) | 0.0179217 | + | 0.0150381i | 0.00478977 | + | 0.00401910i | ||||
\(15\) | −2.46347 | + | 2.06710i | −0.636066 | + | 0.533723i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 7.49847 | − | 2.72922i | 1.81865 | − | 0.661933i | 0.823073 | − | 0.567936i | \(-0.192258\pi\) |
0.995573 | − | 0.0939966i | \(-0.0299643\pi\) | |||||||
\(18\) | −7.34161 | −1.73043 | ||||||||
\(19\) | 1.06458 | + | 4.22690i | 0.244232 | + | 0.969717i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −0.0706976 | + | 0.0257318i | −0.0154275 | + | 0.00561515i | ||||
\(22\) | −0.375222 | + | 2.12799i | −0.0799976 | + | 0.453689i | ||||
\(23\) | 3.43239 | − | 2.88011i | 0.715702 | − | 0.600545i | −0.210491 | − | 0.977596i | \(-0.567506\pi\) |
0.926193 | + | 0.377050i | \(0.123062\pi\) | |||||||
\(24\) | 2.46347 | + | 2.06710i | 0.502855 | + | 0.421945i | ||||
\(25\) | 0.173648 | + | 0.984808i | 0.0347296 | + | 0.196962i | ||||
\(26\) | −0.795147 | − | 1.37724i | −0.155941 | − | 0.270098i | ||||
\(27\) | 6.98095 | − | 12.0914i | 1.34348 | − | 2.32698i | ||||
\(28\) | 0.0219842 | + | 0.00800160i | 0.00415463 | + | 0.00151216i | ||||
\(29\) | −7.09702 | − | 2.58310i | −1.31788 | − | 0.479670i | −0.415104 | − | 0.909774i | \(-0.636255\pi\) |
−0.902780 | + | 0.430104i | \(0.858477\pi\) | |||||||
\(30\) | −1.60792 | + | 2.78500i | −0.293564 | + | 0.508468i | ||||
\(31\) | −2.22993 | − | 3.86236i | −0.400508 | − | 0.693700i | 0.593279 | − | 0.804997i | \(-0.297833\pi\) |
−0.993787 | + | 0.111297i | \(0.964500\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −5.32312 | − | 4.46663i | −0.926636 | − | 0.777540i | ||||
\(34\) | 6.11281 | − | 5.12925i | 1.04834 | − | 0.879660i | ||||
\(35\) | −0.00406252 | + | 0.0230397i | −0.000686691 | + | 0.00389442i | ||||
\(36\) | −6.89886 | + | 2.51098i | −1.14981 | + | 0.418496i | ||||
\(37\) | −0.389132 | −0.0639729 | −0.0319864 | − | 0.999488i | \(-0.510183\pi\) | ||||
−0.0319864 | + | 0.999488i | \(0.510183\pi\) | |||||||
\(38\) | 2.44606 | + | 3.60788i | 0.396804 | + | 0.585275i | ||||
\(39\) | 5.11413 | 0.818916 | ||||||||
\(40\) | 0.939693 | − | 0.342020i | 0.148578 | − | 0.0540781i | ||||
\(41\) | 0.972920 | − | 5.51771i | 0.151945 | − | 0.861721i | −0.809582 | − | 0.587007i | \(-0.800306\pi\) |
0.961526 | − | 0.274713i | \(-0.0885830\pi\) | |||||||
\(42\) | −0.0576332 | + | 0.0483600i | −0.00889300 | + | 0.00746212i | ||||
\(43\) | 7.43337 | + | 6.23734i | 1.13358 | + | 0.951185i | 0.999210 | − | 0.0397459i | \(-0.0126549\pi\) |
0.134369 | + | 0.990931i | \(0.457099\pi\) | |||||||
\(44\) | 0.375222 | + | 2.12799i | 0.0565668 | + | 0.320806i | ||||
\(45\) | −3.67080 | − | 6.35802i | −0.547211 | − | 0.947798i | ||||
\(46\) | 2.24033 | − | 3.88037i | 0.330319 | − | 0.572129i | ||||
\(47\) | −4.01711 | − | 1.46211i | −0.585956 | − | 0.213271i | 0.0319938 | − | 0.999488i | \(-0.489814\pi\) |
−0.617950 | + | 0.786218i | \(0.712037\pi\) | |||||||
\(48\) | 3.02190 | + | 1.09988i | 0.436173 | + | 0.158754i | ||||
\(49\) | 3.49973 | − | 6.06170i | 0.499961 | − | 0.865958i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 4.45606 | + | 25.2716i | 0.623973 | + | 3.53873i | ||||
\(52\) | −1.21824 | − | 1.02222i | −0.168939 | − | 0.141757i | ||||
\(53\) | −2.89731 | + | 2.43113i | −0.397976 | + | 0.333941i | −0.819711 | − | 0.572778i | \(-0.805866\pi\) |
0.421735 | + | 0.906719i | \(0.361421\pi\) | |||||||
\(54\) | 2.42446 | − | 13.7498i | 0.329927 | − | 1.87111i | ||||
\(55\) | −2.03050 | + | 0.739043i | −0.273793 | + | 0.0996525i | ||||
\(56\) | 0.0233951 | 0.00312630 | ||||||||
\(57\) | −13.9810 | + | 1.01111i | −1.85183 | + | 0.133925i | ||||
\(58\) | −7.55249 | −0.991691 | ||||||||
\(59\) | 3.41426 | − | 1.24269i | 0.444499 | − | 0.161784i | −0.110067 | − | 0.993924i | \(-0.535107\pi\) |
0.554566 | + | 0.832140i | \(0.312884\pi\) | |||||||
\(60\) | −0.558424 | + | 3.16698i | −0.0720923 | + | 0.408856i | ||||
\(61\) | −8.84152 | + | 7.41891i | −1.13204 | + | 0.949894i | −0.999149 | − | 0.0412364i | \(-0.986870\pi\) |
−0.132891 | + | 0.991131i | \(0.542426\pi\) | |||||||
\(62\) | −3.41646 | − | 2.86675i | −0.433890 | − | 0.364077i | ||||
\(63\) | −0.0298254 | − | 0.169148i | −0.00375765 | − | 0.0213107i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.795147 | − | 1.37724i | 0.0986259 | − | 0.170825i | ||||
\(66\) | −6.52977 | − | 2.37664i | −0.803759 | − | 0.292544i | ||||
\(67\) | −3.62429 | − | 1.31913i | −0.442778 | − | 0.161158i | 0.111004 | − | 0.993820i | \(-0.464593\pi\) |
−0.553781 | + | 0.832662i | \(0.686816\pi\) | |||||||
\(68\) | 3.98985 | − | 6.91062i | 0.483840 | − | 0.838036i | ||||
\(69\) | 7.20454 | + | 12.4786i | 0.867325 | + | 1.50225i | ||||
\(70\) | 0.00406252 | + | 0.0230397i | 0.000485564 | + | 0.00275377i | ||||
\(71\) | −9.85813 | − | 8.27195i | −1.16994 | − | 0.981700i | −0.169952 | − | 0.985452i | \(-0.554361\pi\) |
−0.999993 | + | 0.00375214i | \(0.998806\pi\) | |||||||
\(72\) | −5.62400 | + | 4.71909i | −0.662795 | + | 0.556151i | ||||
\(73\) | −0.330206 | + | 1.87269i | −0.0386477 | + | 0.219182i | −0.998015 | − | 0.0629785i | \(-0.979940\pi\) |
0.959367 | + | 0.282161i | \(0.0910511\pi\) | |||||||
\(74\) | −0.365664 | + | 0.133091i | −0.0425076 | + | 0.0154715i | ||||
\(75\) | −3.21584 | −0.371333 | ||||||||
\(76\) | 3.53251 | + | 2.55369i | 0.405207 | + | 0.292928i | ||||
\(77\) | −0.0505526 | −0.00576100 | ||||||||
\(78\) | 4.80571 | − | 1.74914i | 0.544139 | − | 0.198051i | ||||
\(79\) | −1.65165 | + | 9.36698i | −0.185825 | + | 1.05387i | 0.739065 | + | 0.673634i | \(0.235267\pi\) |
−0.924891 | + | 0.380233i | \(0.875844\pi\) | |||||||
\(80\) | 0.766044 | − | 0.642788i | 0.0856464 | − | 0.0718658i | ||||
\(81\) | 17.5228 | + | 14.7034i | 1.94698 | + | 1.63371i | ||||
\(82\) | −0.972920 | − | 5.51771i | −0.107441 | − | 0.609329i | ||||
\(83\) | 1.31417 | + | 2.27622i | 0.144249 | + | 0.249847i | 0.929093 | − | 0.369847i | \(-0.120590\pi\) |
−0.784843 | + | 0.619694i | \(0.787257\pi\) | |||||||
\(84\) | −0.0376174 | + | 0.0651553i | −0.00410440 | + | 0.00710903i | ||||
\(85\) | 7.49847 | + | 2.72922i | 0.813323 | + | 0.296025i | ||||
\(86\) | 9.11838 | + | 3.31882i | 0.983260 | + | 0.357877i | ||||
\(87\) | 12.1438 | − | 21.0337i | 1.30195 | − | 2.25505i | ||||
\(88\) | 1.08041 | + | 1.87132i | 0.115172 | + | 0.199484i | ||||
\(89\) | 1.54115 | + | 8.74032i | 0.163362 | + | 0.926472i | 0.950737 | + | 0.309998i | \(0.100328\pi\) |
−0.787375 | + | 0.616474i | \(0.788561\pi\) | |||||||
\(90\) | −5.62400 | − | 4.71909i | −0.592821 | − | 0.497436i | ||||
\(91\) | 0.0285008 | − | 0.0239150i | 0.00298769 | − | 0.00250697i | ||||
\(92\) | 0.778059 | − | 4.41259i | 0.0811183 | − | 0.460045i | ||||
\(93\) | 13.4773 | − | 4.90532i | 1.39753 | − | 0.508658i | ||||
\(94\) | −4.27492 | −0.440924 | ||||||||
\(95\) | −1.90148 | + | 3.92229i | −0.195088 | + | 0.402419i | ||||
\(96\) | 3.21584 | 0.328215 | ||||||||
\(97\) | −10.4812 | + | 3.81486i | −1.06421 | + | 0.387340i | −0.814008 | − | 0.580854i | \(-0.802719\pi\) |
−0.250201 | + | 0.968194i | \(0.580497\pi\) | |||||||
\(98\) | 1.21544 | − | 6.89312i | 0.122778 | − | 0.696310i | ||||
\(99\) | 12.1524 | − | 10.1971i | 1.22137 | − | 1.02485i | ||||
\(100\) | 0.766044 | + | 0.642788i | 0.0766044 | + | 0.0642788i | ||||
\(101\) | −3.23809 | − | 18.3641i | −0.322202 | − | 1.82730i | −0.528651 | − | 0.848840i | \(-0.677302\pi\) |
0.206449 | − | 0.978457i | \(-0.433809\pi\) | |||||||
\(102\) | 12.8307 | + | 22.2234i | 1.27043 | + | 2.20045i | ||||
\(103\) | −1.76795 | + | 3.06218i | −0.174201 | + | 0.301726i | −0.939885 | − | 0.341492i | \(-0.889068\pi\) |
0.765683 | + | 0.643218i | \(0.222401\pi\) | |||||||
\(104\) | −1.49439 | − | 0.543913i | −0.146537 | − | 0.0533350i | ||||
\(105\) | −0.0706976 | − | 0.0257318i | −0.00689938 | − | 0.00251117i | ||||
\(106\) | −1.89108 | + | 3.27545i | −0.183678 | + | 0.318140i | ||||
\(107\) | −2.79632 | − | 4.84336i | −0.270330 | − | 0.468226i | 0.698616 | − | 0.715497i | \(-0.253800\pi\) |
−0.968946 | + | 0.247271i | \(0.920466\pi\) | |||||||
\(108\) | −2.42446 | − | 13.7498i | −0.233294 | − | 1.32307i | ||||
\(109\) | 7.21936 | + | 6.05777i | 0.691490 | + | 0.580229i | 0.919338 | − | 0.393468i | \(-0.128725\pi\) |
−0.227849 | + | 0.973697i | \(0.573169\pi\) | |||||||
\(110\) | −1.65528 | + | 1.38895i | −0.157825 | + | 0.132431i | ||||
\(111\) | 0.217301 | − | 1.23237i | 0.0206253 | − | 0.116972i | ||||
\(112\) | 0.0219842 | − | 0.00800160i | 0.00207731 | − | 0.000756080i | ||||
\(113\) | −5.69339 | −0.535589 | −0.267795 | − | 0.963476i | \(-0.586295\pi\) | ||||
−0.267795 | + | 0.963476i | \(0.586295\pi\) | |||||||
\(114\) | −12.7920 | + | 5.73191i | −1.19808 | + | 0.536843i | ||||
\(115\) | 4.48066 | 0.417824 | ||||||||
\(116\) | −7.09702 | + | 2.58310i | −0.658942 | + | 0.239835i | ||||
\(117\) | −2.02740 | + | 11.4979i | −0.187433 | + | 1.06299i | ||||
\(118\) | 2.78333 | − | 2.33549i | 0.256226 | − | 0.214999i | ||||
\(119\) | 0.143010 | + | 0.119999i | 0.0131097 | + | 0.0110003i | ||||
\(120\) | 0.558424 | + | 3.16698i | 0.0509769 | + | 0.289105i | ||||
\(121\) | 3.16544 | + | 5.48269i | 0.287767 | + | 0.498427i | ||||
\(122\) | −5.77089 | + | 9.99547i | −0.522472 | + | 0.904948i | ||||
\(123\) | 16.9312 | + | 6.16244i | 1.52663 | + | 0.555649i | ||||
\(124\) | −4.19091 | − | 1.52536i | −0.376354 | − | 0.136982i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | −0.0858789 | − | 0.148747i | −0.00765070 | − | 0.0132514i | ||||
\(127\) | 1.50642 | + | 8.54334i | 0.133673 | + | 0.758099i | 0.975774 | + | 0.218779i | \(0.0702074\pi\) |
−0.842101 | + | 0.539320i | \(0.818681\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −23.9045 | + | 20.0583i | −2.10468 | + | 1.76603i | ||||
\(130\) | 0.276152 | − | 1.56613i | 0.0242201 | − | 0.137359i | ||||
\(131\) | −19.4945 | + | 7.09542i | −1.70324 | + | 0.619930i | −0.996188 | − | 0.0872292i | \(-0.972199\pi\) |
−0.707055 | + | 0.707159i | \(0.749977\pi\) | |||||||
\(132\) | −6.94884 | −0.604818 | ||||||||
\(133\) | −0.0731872 | + | 0.0710136i | −0.00634613 | + | 0.00615766i | ||||
\(134\) | −3.85689 | −0.333185 | ||||||||
\(135\) | 13.1199 | − | 4.77525i | 1.12918 | − | 0.410988i | ||||
\(136\) | 1.38566 | − | 7.85847i | 0.118819 | − | 0.673858i | ||||
\(137\) | 4.57200 | − | 3.83636i | 0.390612 | − | 0.327762i | −0.426240 | − | 0.904610i | \(-0.640162\pi\) |
0.816852 | + | 0.576848i | \(0.195717\pi\) | |||||||
\(138\) | 11.0380 | + | 9.26198i | 0.939617 | + | 0.788432i | ||||
\(139\) | −2.44517 | − | 13.8672i | −0.207397 | − | 1.17620i | −0.893624 | − | 0.448817i | \(-0.851845\pi\) |
0.686227 | − | 0.727387i | \(-0.259266\pi\) | |||||||
\(140\) | 0.0116976 | + | 0.0202608i | 0.000988624 | + | 0.00171235i | ||||
\(141\) | 6.87373 | − | 11.9056i | 0.578872 | − | 1.00264i | ||||
\(142\) | −12.0928 | − | 4.40141i | −1.01480 | − | 0.369358i | ||||
\(143\) | 3.22910 | + | 1.17530i | 0.270031 | + | 0.0982832i | ||||
\(144\) | −3.67080 | + | 6.35802i | −0.305900 | + | 0.529835i | ||||
\(145\) | −3.77625 | − | 6.54065i | −0.313600 | − | 0.543171i | ||||
\(146\) | 0.330206 | + | 1.87269i | 0.0273281 | + | 0.154985i | ||||
\(147\) | 17.2430 | + | 14.4686i | 1.42218 | + | 1.19335i | ||||
\(148\) | −0.298092 | + | 0.250129i | −0.0245030 | + | 0.0205605i | ||||
\(149\) | 1.22145 | − | 6.92721i | 0.100065 | − | 0.567499i | −0.893012 | − | 0.450034i | \(-0.851412\pi\) |
0.993077 | − | 0.117465i | \(-0.0374769\pi\) | |||||||
\(150\) | −3.02190 | + | 1.09988i | −0.246737 | + | 0.0898049i | ||||
\(151\) | −14.0840 | −1.14614 | −0.573070 | − | 0.819507i | \(-0.694248\pi\) | ||||
−0.573070 | + | 0.819507i | \(0.694248\pi\) | |||||||
\(152\) | 4.19289 | + | 1.19149i | 0.340088 | + | 0.0966429i | ||||
\(153\) | −58.5838 | −4.73622 | ||||||||
\(154\) | −0.0475039 | + | 0.0172900i | −0.00382797 | + | 0.00139327i | ||||
\(155\) | 0.774448 | − | 4.39211i | 0.0622052 | − | 0.352783i | ||||
\(156\) | 3.91765 | − | 3.28730i | 0.313663 | − | 0.263195i | ||||
\(157\) | 2.07466 | + | 1.74085i | 0.165576 | + | 0.138935i | 0.721811 | − | 0.692090i | \(-0.243310\pi\) |
−0.556235 | + | 0.831025i | \(0.687755\pi\) | |||||||
\(158\) | 1.65165 | + | 9.36698i | 0.131398 | + | 0.745197i | ||||
\(159\) | −6.08141 | − | 10.5333i | −0.482288 | − | 0.835346i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 0.0985039 | + | 0.0358525i | 0.00776319 | + | 0.00282557i | ||||
\(162\) | 21.4949 | + | 7.82350i | 1.68880 | + | 0.614672i | ||||
\(163\) | −6.89810 | + | 11.9479i | −0.540301 | + | 0.935829i | 0.458585 | + | 0.888650i | \(0.348356\pi\) |
−0.998886 | + | 0.0471785i | \(0.984977\pi\) | |||||||
\(164\) | −2.80141 | − | 4.85219i | −0.218754 | − | 0.378892i | ||||
\(165\) | −1.20665 | − | 6.84327i | −0.0939378 | − | 0.532748i | ||||
\(166\) | 2.01343 | + | 1.68947i | 0.156273 | + | 0.131128i | ||||
\(167\) | 18.5877 | − | 15.5969i | 1.43836 | − | 1.20692i | 0.497798 | − | 0.867293i | \(-0.334142\pi\) |
0.940558 | − | 0.339632i | \(-0.110302\pi\) | |||||||
\(168\) | −0.0130644 | + | 0.0740919i | −0.00100794 | + | 0.00571631i | ||||
\(169\) | 9.83949 | − | 3.58128i | 0.756884 | − | 0.275483i | ||||
\(170\) | 7.97970 | 0.612015 | ||||||||
\(171\) | 3.26925 | − | 31.8339i | 0.250006 | − | 2.43440i | ||||
\(172\) | 9.70358 | 0.739891 | ||||||||
\(173\) | 18.1956 | − | 6.62267i | 1.38339 | − | 0.503512i | 0.460184 | − | 0.887823i | \(-0.347783\pi\) |
0.923204 | + | 0.384311i | \(0.125561\pi\) | |||||||
\(174\) | 4.21749 | − | 23.9186i | 0.319727 | − | 1.81326i | ||||
\(175\) | −0.0179217 | + | 0.0150381i | −0.00135475 | + | 0.00113677i | ||||
\(176\) | 1.65528 | + | 1.38895i | 0.124772 | + | 0.104696i | ||||
\(177\) | 2.02897 | + | 11.5068i | 0.152506 | + | 0.864907i | ||||
\(178\) | 4.43758 | + | 7.68611i | 0.332610 | + | 0.576098i | ||||
\(179\) | −4.29621 | + | 7.44125i | −0.321114 | + | 0.556185i | −0.980718 | − | 0.195428i | \(-0.937391\pi\) |
0.659604 | + | 0.751613i | \(0.270724\pi\) | |||||||
\(180\) | −6.89886 | − | 2.51098i | −0.514210 | − | 0.187157i | ||||
\(181\) | 3.94197 | + | 1.43476i | 0.293005 | + | 0.106645i | 0.484340 | − | 0.874880i | \(-0.339060\pi\) |
−0.191336 | + | 0.981525i | \(0.561282\pi\) | |||||||
\(182\) | 0.0186026 | − | 0.0322206i | 0.00137891 | − | 0.00238835i | ||||
\(183\) | −18.5582 | − | 32.1438i | −1.37186 | − | 2.37614i | ||||
\(184\) | −0.778059 | − | 4.41259i | −0.0573593 | − | 0.325301i | ||||
\(185\) | −0.298092 | − | 0.250129i | −0.0219162 | − | 0.0183899i | ||||
\(186\) | 10.9868 | − | 9.21899i | 0.805589 | − | 0.675969i | ||||
\(187\) | −2.99416 | + | 16.9807i | −0.218955 | + | 1.24175i | ||||
\(188\) | −4.01711 | + | 1.46211i | −0.292978 | + | 0.106635i | ||||
\(189\) | 0.326640 | 0.0237596 | ||||||||
\(190\) | −0.445304 | + | 4.33609i | −0.0323058 | + | 0.314573i | ||||
\(191\) | 18.8620 | 1.36481 | 0.682403 | − | 0.730976i | \(-0.260935\pi\) | ||||
0.682403 | + | 0.730976i | \(0.260935\pi\) | |||||||
\(192\) | 3.02190 | − | 1.09988i | 0.218087 | − | 0.0793771i | ||||
\(193\) | −3.08999 | + | 17.5242i | −0.222422 | + | 1.26142i | 0.645130 | + | 0.764073i | \(0.276803\pi\) |
−0.867552 | + | 0.497346i | \(0.834308\pi\) | |||||||
\(194\) | −8.54438 | + | 7.16959i | −0.613451 | + | 0.514747i | ||||
\(195\) | 3.91765 | + | 3.28730i | 0.280549 | + | 0.235408i | ||||
\(196\) | −1.21544 | − | 6.89312i | −0.0868173 | − | 0.492365i | ||||
\(197\) | −6.75642 | − | 11.7025i | −0.481375 | − | 0.833766i | 0.518396 | − | 0.855140i | \(-0.326529\pi\) |
−0.999772 | + | 0.0213742i | \(0.993196\pi\) | |||||||
\(198\) | 7.93194 | − | 13.7385i | 0.563698 | − | 0.976354i | ||||
\(199\) | −6.59301 | − | 2.39966i | −0.467366 | − | 0.170107i | 0.0975926 | − | 0.995226i | \(-0.468886\pi\) |
−0.564959 | + | 0.825119i | \(0.691108\pi\) | |||||||
\(200\) | 0.939693 | + | 0.342020i | 0.0664463 | + | 0.0241845i | ||||
\(201\) | 6.20156 | − | 10.7414i | 0.437425 | − | 0.757642i | ||||
\(202\) | −9.32370 | − | 16.1491i | −0.656013 | − | 1.13625i | ||||
\(203\) | −0.0306821 | − | 0.174007i | −0.00215346 | − | 0.0122129i | ||||
\(204\) | 19.6578 | + | 16.4948i | 1.37632 | + | 1.15487i | ||||
\(205\) | 4.29201 | − | 3.60143i | 0.299767 | − | 0.251535i | ||||
\(206\) | −0.614003 | + | 3.48218i | −0.0427796 | + | 0.242615i | ||||
\(207\) | −30.9114 | + | 11.2508i | −2.14849 | + | 0.781988i | ||||
\(208\) | −1.59029 | −0.110267 | ||||||||
\(209\) | −9.06007 | − | 2.57460i | −0.626698 | − | 0.178089i | ||||
\(210\) | −0.0752349 | −0.00519170 | ||||||||
\(211\) | −6.68827 | + | 2.43433i | −0.460440 | + | 0.167586i | −0.561817 | − | 0.827262i | \(-0.689897\pi\) |
0.101377 | + | 0.994848i | \(0.467675\pi\) | |||||||
\(212\) | −0.656766 | + | 3.72471i | −0.0451069 | + | 0.255814i | ||||
\(213\) | 31.7021 | − | 26.6013i | 2.17219 | − | 1.82269i | ||||
\(214\) | −4.28421 | − | 3.59488i | −0.292862 | − | 0.245741i | ||||
\(215\) | 1.68501 | + | 9.55616i | 0.114917 | + | 0.651725i | ||||
\(216\) | −6.98095 | − | 12.0914i | −0.474994 | − | 0.822713i | ||||
\(217\) | 0.0521696 | − | 0.0903603i | 0.00354150 | − | 0.00613406i | ||||
\(218\) | 8.85586 | + | 3.22327i | 0.599795 | + | 0.218307i | ||||
\(219\) | −5.74639 | − | 2.09151i | −0.388305 | − | 0.141331i | ||||
\(220\) | −1.08041 | + | 1.87132i | −0.0728411 | + | 0.126165i | ||||
\(221\) | −6.34504 | − | 10.9899i | −0.426813 | − | 0.739263i | ||||
\(222\) | −0.217301 | − | 1.23237i | −0.0145843 | − | 0.0827115i | ||||
\(223\) | −3.34000 | − | 2.80259i | −0.223663 | − | 0.187675i | 0.524070 | − | 0.851675i | \(-0.324413\pi\) |
−0.747733 | + | 0.664000i | \(0.768858\pi\) | |||||||
\(224\) | 0.0179217 | − | 0.0150381i | 0.00119744 | − | 0.00100477i | ||||
\(225\) | 1.27486 | − | 7.23007i | 0.0849905 | − | 0.482005i | ||||
\(226\) | −5.35004 | + | 1.94725i | −0.355879 | + | 0.129529i | ||||
\(227\) | 9.44623 | 0.626969 | 0.313484 | − | 0.949593i | \(-0.398504\pi\) | ||||
0.313484 | + | 0.949593i | \(0.398504\pi\) | |||||||
\(228\) | −10.0601 | + | 9.76136i | −0.666249 | + | 0.646462i | ||||
\(229\) | 22.8675 | 1.51112 | 0.755562 | − | 0.655077i | \(-0.227364\pi\) | ||||
0.755562 | + | 0.655077i | \(0.227364\pi\) | |||||||
\(230\) | 4.21045 | − | 1.53248i | 0.277629 | − | 0.101049i | ||||
\(231\) | 0.0282298 | − | 0.160099i | 0.00185738 | − | 0.0105337i | ||||
\(232\) | −5.78554 | + | 4.85465i | −0.379840 | + | 0.318723i | ||||
\(233\) | −8.10215 | − | 6.79851i | −0.530790 | − | 0.445385i | 0.337584 | − | 0.941295i | \(-0.390390\pi\) |
−0.868374 | + | 0.495910i | \(0.834835\pi\) | |||||||
\(234\) | 2.02740 | + | 11.4979i | 0.132535 | + | 0.751644i | ||||
\(235\) | −2.13746 | − | 3.70219i | −0.139433 | − | 0.241504i | ||||
\(236\) | 1.81669 | − | 3.14660i | 0.118256 | − | 0.204826i | ||||
\(237\) | −28.7427 | − | 10.4615i | −1.86704 | − | 0.679547i | ||||
\(238\) | 0.175427 | + | 0.0638504i | 0.0113713 | + | 0.00413880i | ||||
\(239\) | −8.67636 | + | 15.0279i | −0.561227 | + | 0.972074i | 0.436163 | + | 0.899868i | \(0.356337\pi\) |
−0.997390 | + | 0.0722058i | \(0.976996\pi\) | |||||||
\(240\) | 1.60792 | + | 2.78500i | 0.103791 | + | 0.179771i | ||||
\(241\) | −0.0833347 | − | 0.472614i | −0.00536806 | − | 0.0304438i | 0.982006 | − | 0.188849i | \(-0.0604758\pi\) |
−0.987374 | + | 0.158406i | \(0.949365\pi\) | |||||||
\(242\) | 4.84973 | + | 4.06940i | 0.311752 | + | 0.261591i | ||||
\(243\) | −24.2641 | + | 20.3600i | −1.55655 | + | 1.30610i | ||||
\(244\) | −2.00421 | + | 11.3664i | −0.128306 | + | 0.727661i | ||||
\(245\) | 6.57733 | − | 2.39395i | 0.420210 | − | 0.152944i | ||||
\(246\) | 18.0178 | 1.14877 | ||||||||
\(247\) | 6.32590 | − | 2.83454i | 0.402508 | − | 0.180358i | ||||
\(248\) | −4.45987 | −0.283202 | ||||||||
\(249\) | −7.94260 | + | 2.89087i | −0.503342 | + | 0.183202i | ||||
\(250\) | −0.173648 | + | 0.984808i | −0.0109825 | + | 0.0622847i | ||||
\(251\) | 4.56913 | − | 3.83396i | 0.288401 | − | 0.241997i | −0.487096 | − | 0.873348i | \(-0.661944\pi\) |
0.775497 | + | 0.631351i | \(0.217499\pi\) | |||||||
\(252\) | −0.131574 | − | 0.110404i | −0.00828839 | − | 0.00695478i | ||||
\(253\) | 1.68124 | + | 9.53480i | 0.105699 | + | 0.599448i | ||||
\(254\) | 4.33757 | + | 7.51289i | 0.272163 | + | 0.471400i | ||||
\(255\) | −12.8307 | + | 22.2234i | −0.803490 | + | 1.39169i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 12.7121 | + | 4.62683i | 0.792959 | + | 0.288614i | 0.706566 | − | 0.707648i | \(-0.250244\pi\) |
0.0863936 | + | 0.996261i | \(0.472466\pi\) | |||||||
\(258\) | −15.6026 | + | 27.0244i | −0.971373 | + | 1.68247i | ||||
\(259\) | −0.00455189 | − | 0.00788411i | −0.000282841 | − | 0.000489895i | ||||
\(260\) | −0.276152 | − | 1.56613i | −0.0171262 | − | 0.0971275i | ||||
\(261\) | 42.4752 | + | 35.6409i | 2.62915 | + | 2.20612i | ||||
\(262\) | −15.8921 | + | 13.3350i | −0.981815 | + | 0.823841i | ||||
\(263\) | −3.05915 | + | 17.3493i | −0.188635 | + | 1.06980i | 0.732560 | + | 0.680703i | \(0.238326\pi\) |
−0.921195 | + | 0.389101i | \(0.872786\pi\) | |||||||
\(264\) | −6.52977 | + | 2.37664i | −0.401880 | + | 0.146272i | ||||
\(265\) | −3.78217 | −0.232337 | ||||||||
\(266\) | −0.0444853 | + | 0.0917624i | −0.00272757 | + | 0.00562632i | ||||
\(267\) | −28.5410 | −1.74668 | ||||||||
\(268\) | −3.62429 | + | 1.31913i | −0.221389 | + | 0.0805789i | ||||
\(269\) | −0.447725 | + | 2.53918i | −0.0272983 | + | 0.154816i | −0.995410 | − | 0.0957028i | \(-0.969490\pi\) |
0.968112 | + | 0.250519i | \(0.0806013\pi\) | |||||||
\(270\) | 10.6954 | − | 8.97454i | 0.650904 | − | 0.546173i | ||||
\(271\) | −8.49966 | − | 7.13206i | −0.516318 | − | 0.433242i | 0.347028 | − | 0.937855i | \(-0.387191\pi\) |
−0.863346 | + | 0.504613i | \(0.831635\pi\) | |||||||
\(272\) | −1.38566 | − | 7.85847i | −0.0840180 | − | 0.476490i | ||||
\(273\) | 0.0598228 | + | 0.103616i | 0.00362064 | + | 0.00627113i | ||||
\(274\) | 2.98416 | − | 5.16871i | 0.180280 | − | 0.312253i | ||||
\(275\) | −2.03050 | − | 0.739043i | −0.122444 | − | 0.0445660i | ||||
\(276\) | 13.5401 | + | 4.92820i | 0.815019 | + | 0.296643i | ||||
\(277\) | 1.47762 | − | 2.55932i | 0.0887817 | − | 0.153774i | −0.818215 | − | 0.574913i | \(-0.805036\pi\) |
0.906996 | + | 0.421138i | \(0.138369\pi\) | |||||||
\(278\) | −7.04059 | − | 12.1947i | −0.422266 | − | 0.731387i | ||||
\(279\) | 5.68569 | + | 32.2452i | 0.340394 | + | 1.93047i | ||||
\(280\) | 0.0179217 | + | 0.0150381i | 0.00107103 | + | 0.000898698i | ||||
\(281\) | 10.6181 | − | 8.90966i | 0.633424 | − | 0.531506i | −0.268567 | − | 0.963261i | \(-0.586550\pi\) |
0.901991 | + | 0.431755i | \(0.142106\pi\) | |||||||
\(282\) | 2.38722 | − | 13.5386i | 0.142157 | − | 0.806212i | ||||
\(283\) | 4.36045 | − | 1.58707i | 0.259202 | − | 0.0943418i | −0.209151 | − | 0.977883i | \(-0.567070\pi\) |
0.468353 | + | 0.883542i | \(0.344848\pi\) | |||||||
\(284\) | −12.8689 | −0.763627 | ||||||||
\(285\) | −11.3600 | − | 8.21226i | −0.672908 | − | 0.486452i | ||||
\(286\) | 3.43634 | 0.203195 | ||||||||
\(287\) | 0.123174 | − | 0.0448316i | 0.00727071 | − | 0.00264632i | ||||
\(288\) | −1.27486 | + | 7.23007i | −0.0751217 | + | 0.426036i | ||||
\(289\) | 35.7556 | − | 30.0025i | 2.10327 | − | 1.76485i | ||||
\(290\) | −5.78554 | − | 4.85465i | −0.339739 | − | 0.285075i | ||||
\(291\) | −6.22861 | − | 35.3242i | −0.365128 | − | 2.07074i | ||||
\(292\) | 0.950791 | + | 1.64682i | 0.0556409 | + | 0.0963728i | ||||
\(293\) | −5.93313 | + | 10.2765i | −0.346617 | + | 0.600358i | −0.985646 | − | 0.168824i | \(-0.946003\pi\) |
0.639029 | + | 0.769182i | \(0.279336\pi\) | |||||||
\(294\) | 21.1516 | + | 7.69857i | 1.23359 | + | 0.448989i | ||||
\(295\) | 3.41426 | + | 1.24269i | 0.198786 | + | 0.0723521i | ||||
\(296\) | −0.194566 | + | 0.336998i | −0.0113089 | + | 0.0195876i | ||||
\(297\) | 15.0846 | + | 26.1272i | 0.875295 | + | 1.51606i | ||||
\(298\) | −1.22145 | − | 6.92721i | −0.0707569 | − | 0.401282i | ||||
\(299\) | −5.45851 | − | 4.58023i | −0.315674 | − | 0.264882i | ||||
\(300\) | −2.46347 | + | 2.06710i | −0.142229 | + | 0.119344i | ||||
\(301\) | −0.0394210 | + | 0.223567i | −0.00227219 | + | 0.0128862i | ||||
\(302\) | −13.2346 | + | 4.81701i | −0.761567 | + | 0.277188i | ||||
\(303\) | 59.9670 | 3.44501 | ||||||||
\(304\) | 4.34754 | − | 0.314416i | 0.249349 | − | 0.0180330i | ||||
\(305\) | −11.5418 | −0.660880 | ||||||||
\(306\) | −55.0508 | + | 20.0369i | −3.14704 | + | 1.14543i | ||||
\(307\) | 1.81328 | − | 10.2836i | 0.103489 | − | 0.586918i | −0.888323 | − | 0.459218i | \(-0.848130\pi\) |
0.991813 | − | 0.127699i | \(-0.0407593\pi\) | |||||||
\(308\) | −0.0387255 | + | 0.0324946i | −0.00220659 | + | 0.00185155i | ||||
\(309\) | −8.71060 | − | 7.30906i | −0.495529 | − | 0.415798i | ||||
\(310\) | −0.774448 | − | 4.39211i | −0.0439857 | − | 0.249455i | ||||
\(311\) | 7.33307 | + | 12.7012i | 0.415820 | + | 0.720222i | 0.995514 | − | 0.0946125i | \(-0.0301612\pi\) |
−0.579694 | + | 0.814834i | \(0.696828\pi\) | |||||||
\(312\) | 2.55706 | − | 4.42897i | 0.144765 | − | 0.250741i | ||||
\(313\) | 20.1826 | + | 7.34588i | 1.14079 | + | 0.415214i | 0.842199 | − | 0.539167i | \(-0.181261\pi\) |
0.298592 | + | 0.954381i | \(0.403483\pi\) | |||||||
\(314\) | 2.54495 | + | 0.926285i | 0.143620 | + | 0.0522733i | ||||
\(315\) | 0.0858789 | − | 0.148747i | 0.00483873 | − | 0.00838092i | ||||
\(316\) | 4.75574 | + | 8.23718i | 0.267531 | + | 0.463378i | ||||
\(317\) | 2.05192 | + | 11.6370i | 0.115247 | + | 0.653599i | 0.986628 | + | 0.162991i | \(0.0521141\pi\) |
−0.871381 | + | 0.490608i | \(0.836775\pi\) | |||||||
\(318\) | −9.31727 | − | 7.81812i | −0.522486 | − | 0.438418i | ||||
\(319\) | 12.5015 | − | 10.4900i | 0.699950 | − | 0.587327i | ||||
\(320\) | 0.173648 | − | 0.984808i | 0.00970723 | − | 0.0550524i | ||||
\(321\) | 16.9004 | − | 6.15123i | 0.943287 | − | 0.343328i | ||||
\(322\) | 0.104826 | 0.00584170 | ||||||||
\(323\) | 19.5189 | + | 28.7898i | 1.08606 | + | 1.60191i | ||||
\(324\) | 22.8744 | 1.27080 | ||||||||
\(325\) | 1.49439 | − | 0.543913i | 0.0828937 | − | 0.0301709i | ||||
\(326\) | −2.39569 | + | 13.5866i | −0.132685 | + | 0.752493i | ||||
\(327\) | −23.2163 | + | 19.4808i | −1.28386 | + | 1.07729i | ||||
\(328\) | −4.29201 | − | 3.60143i | −0.236987 | − | 0.198856i | ||||
\(329\) | −0.0173669 | − | 0.0984928i | −0.000957471 | − | 0.00543009i | ||||
\(330\) | −3.47442 | − | 6.01787i | −0.191260 | − | 0.331273i | ||||
\(331\) | −8.88073 | + | 15.3819i | −0.488129 | + | 0.845464i | −0.999907 | − | 0.0136535i | \(-0.995654\pi\) |
0.511778 | + | 0.859118i | \(0.328987\pi\) | |||||||
\(332\) | 2.46984 | + | 0.898948i | 0.135550 | + | 0.0493362i | ||||
\(333\) | 2.68456 | + | 0.977102i | 0.147113 | + | 0.0535448i | ||||
\(334\) | 12.1322 | − | 21.0137i | 0.663847 | − | 1.14982i | ||||
\(335\) | −1.92844 | − | 3.34016i | −0.105362 | − | 0.182493i | ||||
\(336\) | 0.0130644 | + | 0.0740919i | 0.000712721 | + | 0.00404204i | ||||
\(337\) | 1.82756 | + | 1.53351i | 0.0995537 | + | 0.0835354i | 0.691206 | − | 0.722658i | \(-0.257080\pi\) |
−0.591652 | + | 0.806193i | \(0.701524\pi\) | |||||||
\(338\) | 8.02122 | − | 6.73060i | 0.436297 | − | 0.366097i | ||||
\(339\) | 3.17933 | − | 18.0309i | 0.172677 | − | 0.979302i | ||||
\(340\) | 7.49847 | − | 2.72922i | 0.406661 | − | 0.148013i | ||||
\(341\) | 9.63696 | 0.521871 | ||||||||
\(342\) | −7.81574 | − | 31.0322i | −0.422627 | − | 1.67803i | ||||
\(343\) | 0.327519 | 0.0176843 | ||||||||
\(344\) | 9.11838 | − | 3.31882i | 0.491630 | − | 0.178939i | ||||
\(345\) | −2.50211 | + | 14.1902i | −0.134709 | + | 0.763973i | ||||
\(346\) | 14.8332 | − | 12.4465i | 0.797438 | − | 0.669130i | ||||
\(347\) | 11.7982 | + | 9.89984i | 0.633359 | + | 0.531451i | 0.901971 | − | 0.431797i | \(-0.142120\pi\) |
−0.268612 | + | 0.963249i | \(0.586565\pi\) | |||||||
\(348\) | −4.21749 | − | 23.9186i | −0.226081 | − | 1.28217i | ||||
\(349\) | −4.92259 | − | 8.52618i | −0.263500 | − | 0.456396i | 0.703669 | − | 0.710528i | \(-0.251544\pi\) |
−0.967170 | + | 0.254132i | \(0.918210\pi\) | |||||||
\(350\) | −0.0116976 | + | 0.0202608i | −0.000625261 | + | 0.00108298i | ||||
\(351\) | −20.8645 | − | 7.59406i | −1.11366 | − | 0.405341i | ||||
\(352\) | 2.03050 | + | 0.739043i | 0.108226 | + | 0.0393911i | ||||
\(353\) | 4.25682 | − | 7.37302i | 0.226567 | − | 0.392426i | −0.730221 | − | 0.683211i | \(-0.760583\pi\) |
0.956789 | + | 0.290785i | \(0.0939163\pi\) | |||||||
\(354\) | 5.84218 | + | 10.1189i | 0.310508 | + | 0.537816i | ||||
\(355\) | −2.23466 | − | 12.6734i | −0.118603 | − | 0.672633i | ||||
\(356\) | 6.79876 | + | 5.70484i | 0.360334 | + | 0.302356i | ||||
\(357\) | −0.459896 | + | 0.385899i | −0.0243403 | + | 0.0204239i | ||||
\(358\) | −1.49206 | + | 8.46188i | −0.0788577 | + | 0.447224i | ||||
\(359\) | −29.6177 | + | 10.7800i | −1.56317 | + | 0.568946i | −0.971459 | − | 0.237208i | \(-0.923768\pi\) |
−0.591706 | + | 0.806154i | \(0.701545\pi\) | |||||||
\(360\) | −7.34161 | −0.386937 | ||||||||
\(361\) | −16.7333 | + | 8.99976i | −0.880702 | + | 0.473672i | ||||
\(362\) | 4.19496 | 0.220482 | ||||||||
\(363\) | −19.1312 | + | 6.96320i | −1.00413 | + | 0.365473i | ||||
\(364\) | 0.00646060 | − | 0.0366399i | 0.000338628 | − | 0.00192045i | ||||
\(365\) | −1.45670 | + | 1.22231i | −0.0762470 | + | 0.0639788i | ||||
\(366\) | −28.4329 | − | 23.8580i | −1.48621 | − | 1.24708i | ||||
\(367\) | 1.21117 | + | 6.86889i | 0.0632226 | + | 0.358553i | 0.999964 | + | 0.00853004i | \(0.00271523\pi\) |
−0.936741 | + | 0.350023i | \(0.886174\pi\) | |||||||
\(368\) | −2.24033 | − | 3.88037i | −0.116785 | − | 0.202278i | ||||
\(369\) | −20.5669 | + | 35.6229i | −1.07067 | + | 1.85445i | ||||
\(370\) | −0.365664 | − | 0.133091i | −0.0190100 | − | 0.00691907i | ||||
\(371\) | −0.0831479 | − | 0.0302634i | −0.00431683 | − | 0.00157120i | ||||
\(372\) | 7.17110 | − | 12.4207i | 0.371804 | − | 0.643984i | ||||
\(373\) | −6.02737 | − | 10.4397i | −0.312085 | − | 0.540548i | 0.666728 | − | 0.745301i | \(-0.267694\pi\) |
−0.978814 | + | 0.204753i | \(0.934361\pi\) | |||||||
\(374\) | 2.99416 | + | 16.9807i | 0.154824 | + | 0.878052i | ||||
\(375\) | −2.46347 | − | 2.06710i | −0.127213 | − | 0.106745i | ||||
\(376\) | −3.27478 | + | 2.74787i | −0.168884 | + | 0.141710i | ||||
\(377\) | −2.08563 | + | 11.8282i | −0.107416 | + | 0.609184i | ||||
\(378\) | 0.306941 | − | 0.111718i | 0.0157874 | − | 0.00574613i | ||||
\(379\) | −6.82285 | −0.350466 | −0.175233 | − | 0.984527i | \(-0.556068\pi\) | ||||
−0.175233 | + | 0.984527i | \(0.556068\pi\) | |||||||
\(380\) | 1.06458 | + | 4.22690i | 0.0546119 | + | 0.216835i | ||||
\(381\) | −27.8978 | −1.42925 | ||||||||
\(382\) | 17.7245 | − | 6.45118i | 0.906863 | − | 0.330071i | ||||
\(383\) | 1.88011 | − | 10.6626i | 0.0960690 | − | 0.544834i | −0.898346 | − | 0.439290i | \(-0.855230\pi\) |
0.994415 | − | 0.105545i | \(-0.0336587\pi\) | |||||||
\(384\) | 2.46347 | − | 2.06710i | 0.125714 | − | 0.105486i | ||||
\(385\) | −0.0387255 | − | 0.0324946i | −0.00197363 | − | 0.00165608i | ||||
\(386\) | 3.08999 | + | 17.5242i | 0.157276 | + | 0.891958i | ||||
\(387\) | −35.6199 | − | 61.6955i | −1.81066 | − | 3.13616i | ||||
\(388\) | −5.57695 | + | 9.65956i | −0.283127 | + | 0.490390i | ||||
\(389\) | 7.07236 | + | 2.57413i | 0.358583 | + | 0.130513i | 0.515028 | − | 0.857173i | \(-0.327781\pi\) |
−0.156446 | + | 0.987687i | \(0.550004\pi\) | |||||||
\(390\) | 4.80571 | + | 1.74914i | 0.243347 | + | 0.0885709i | ||||
\(391\) | 17.8772 | − | 30.9642i | 0.904088 | − | 1.56593i | ||||
\(392\) | −3.49973 | − | 6.06170i | −0.176763 | − | 0.306162i | ||||
\(393\) | −11.5849 | − | 65.7010i | −0.584379 | − | 3.31418i | ||||
\(394\) | −10.3514 | − | 8.68589i | −0.521498 | − | 0.437589i | ||||
\(395\) | −7.28621 | + | 6.11386i | −0.366609 | + | 0.307622i | ||||
\(396\) | 2.75473 | − | 15.6229i | 0.138431 | − | 0.785078i | ||||
\(397\) | 4.65031 | − | 1.69258i | 0.233393 | − | 0.0849479i | −0.222676 | − | 0.974892i | \(-0.571479\pi\) |
0.456069 | + | 0.889944i | \(0.349257\pi\) | |||||||
\(398\) | −7.01614 | −0.351687 | ||||||||
\(399\) | −0.184029 | − | 0.271438i | −0.00921299 | − | 0.0135889i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −18.6833 | + | 6.80015i | −0.932998 | + | 0.339583i | −0.763397 | − | 0.645929i | \(-0.776470\pi\) |
−0.169601 | + | 0.985513i | \(0.554248\pi\) | |||||||
\(402\) | 2.15378 | − | 12.2147i | 0.107421 | − | 0.609214i | ||||
\(403\) | −5.43317 | + | 4.55897i | −0.270646 | + | 0.227099i | ||||
\(404\) | −14.2847 | − | 11.9863i | −0.710692 | − | 0.596342i | ||||
\(405\) | 3.97210 | + | 22.5269i | 0.197375 | + | 1.11937i | ||||
\(406\) | −0.0883457 | − | 0.153019i | −0.00438452 | − | 0.00759422i | ||||
\(407\) | 0.420421 | − | 0.728191i | 0.0208395 | − | 0.0360951i | ||||
\(408\) | 24.1138 | + | 8.77672i | 1.19381 | + | 0.434512i | ||||
\(409\) | −12.1132 | − | 4.40884i | −0.598958 | − | 0.218003i | 0.0247068 | − | 0.999695i | \(-0.492135\pi\) |
−0.623665 | + | 0.781692i | \(0.714357\pi\) | |||||||
\(410\) | 2.80141 | − | 4.85219i | 0.138352 | − | 0.239633i | ||||
\(411\) | 9.59657 | + | 16.6217i | 0.473364 | + | 0.819890i | ||||
\(412\) | 0.614003 | + | 3.48218i | 0.0302497 | + | 0.171555i | ||||
\(413\) | 0.0651163 | + | 0.0546391i | 0.00320416 | + | 0.00268861i | ||||
\(414\) | −25.1992 | + | 21.1447i | −1.23848 | + | 1.03920i | ||||
\(415\) | −0.456408 | + | 2.58842i | −0.0224042 | + | 0.127060i | ||||
\(416\) | −1.49439 | + | 0.543913i | −0.0732684 | + | 0.0266675i | ||||
\(417\) | 45.2828 | 2.21751 | ||||||||
\(418\) | −9.39425 | + | 0.679394i | −0.459488 | + | 0.0332303i | ||||
\(419\) | 4.48425 | 0.219070 | 0.109535 | − | 0.993983i | \(-0.465064\pi\) | ||||
0.109535 | + | 0.993983i | \(0.465064\pi\) | |||||||
\(420\) | −0.0706976 | + | 0.0257318i | −0.00344969 | + | 0.00125559i | ||||
\(421\) | −3.74698 | + | 21.2502i | −0.182616 | + | 1.03567i | 0.746363 | + | 0.665539i | \(0.231798\pi\) |
−0.928980 | + | 0.370131i | \(0.879313\pi\) | |||||||
\(422\) | −5.45233 | + | 4.57505i | −0.265415 | + | 0.222710i | ||||
\(423\) | 24.0421 | + | 20.1738i | 1.16897 | + | 0.980882i | ||||
\(424\) | 0.656766 | + | 3.72471i | 0.0318954 | + | 0.180888i | ||||
\(425\) | 3.98985 | + | 6.91062i | 0.193536 | + | 0.335214i | ||||
\(426\) | 20.6921 | − | 35.8398i | 1.00254 | − | 1.73644i | ||||
\(427\) | −0.253737 | − | 0.0923527i | −0.0122792 | − | 0.00446926i | ||||
\(428\) | −5.25536 | − | 1.91279i | −0.254027 | − | 0.0924584i | ||||
\(429\) | −5.52535 | + | 9.57018i | −0.266766 | + | 0.462053i | ||||
\(430\) | 4.85179 | + | 8.40355i | 0.233974 | + | 0.405255i | ||||
\(431\) | 2.06827 | + | 11.7298i | 0.0996252 | + | 0.565003i | 0.993232 | + | 0.116151i | \(0.0370557\pi\) |
−0.893606 | + | 0.448852i | \(0.851833\pi\) | |||||||
\(432\) | −10.6954 | − | 8.97454i | −0.514585 | − | 0.431788i | ||||
\(433\) | 16.9528 | − | 14.2251i | 0.814701 | − | 0.683615i | −0.137024 | − | 0.990568i | \(-0.543754\pi\) |
0.951725 | + | 0.306952i | \(0.0993093\pi\) | |||||||
\(434\) | 0.0181183 | − | 0.102754i | 0.000869706 | − | 0.00493235i | ||||
\(435\) | 22.8229 | − | 8.30684i | 1.09427 | − | 0.398283i | ||||
\(436\) | 9.42421 | 0.451338 | ||||||||
\(437\) | 15.8280 | + | 11.4422i | 0.757156 | + | 0.547356i | ||||
\(438\) | −6.11518 | −0.292195 | ||||||||
\(439\) | 6.47904 | − | 2.35818i | 0.309228 | − | 0.112550i | −0.182745 | − | 0.983160i | \(-0.558498\pi\) |
0.491973 | + | 0.870611i | \(0.336276\pi\) | |||||||
\(440\) | −0.375222 | + | 2.12799i | −0.0178880 | + | 0.101448i | ||||
\(441\) | −39.3649 | + | 33.0311i | −1.87452 | + | 1.57291i | ||||
\(442\) | −9.72116 | − | 8.15702i | −0.462389 | − | 0.387990i | ||||
\(443\) | −0.268390 | − | 1.52212i | −0.0127516 | − | 0.0723180i | 0.977768 | − | 0.209690i | \(-0.0672455\pi\) |
−0.990520 | + | 0.137372i | \(0.956134\pi\) | |||||||
\(444\) | −0.625692 | − | 1.08373i | −0.0296940 | − | 0.0514316i | ||||
\(445\) | −4.43758 | + | 7.68611i | −0.210361 | + | 0.364356i | ||||
\(446\) | −4.09711 | − | 1.49123i | −0.194004 | − | 0.0706117i | ||||
\(447\) | 21.2562 | + | 7.73664i | 1.00539 | + | 0.365931i | ||||
\(448\) | 0.0116976 | − | 0.0202608i | 0.000552658 | − | 0.000957231i | ||||
\(449\) | −2.95993 | − | 5.12674i | −0.139688 | − | 0.241946i | 0.787691 | − | 0.616071i | \(-0.211276\pi\) |
−0.927378 | + | 0.374125i | \(0.877943\pi\) | |||||||
\(450\) | −1.27486 | − | 7.23007i | −0.0600973 | − | 0.340829i | ||||
\(451\) | 9.27425 | + | 7.78202i | 0.436708 | + | 0.366441i | ||||
\(452\) | −4.36139 | + | 3.65964i | −0.205143 | + | 0.172135i | ||||
\(453\) | 7.86485 | − | 44.6038i | 0.369523 | − | 2.09567i | ||||
\(454\) | 8.87656 | − | 3.23080i | 0.416597 | − | 0.151629i | ||||
\(455\) | 0.0372051 | 0.00174420 | ||||||||
\(456\) | −6.11485 | + | 12.6135i | −0.286354 | + | 0.590679i | ||||
\(457\) | 29.5382 | 1.38174 | 0.690870 | − | 0.722979i | \(-0.257228\pi\) | ||||
0.690870 | + | 0.722979i | \(0.257228\pi\) | |||||||
\(458\) | 21.4884 | − | 7.82113i | 1.00409 | − | 0.365458i | ||||
\(459\) | 19.3465 | − | 109.719i | 0.903015 | − | 5.12125i | ||||
\(460\) | 3.43239 | − | 2.88011i | 0.160036 | − | 0.134286i | ||||
\(461\) | 23.3287 | + | 19.5751i | 1.08652 | + | 0.911702i | 0.996446 | − | 0.0842331i | \(-0.0268440\pi\) |
0.0900776 | + | 0.995935i | \(0.471288\pi\) | |||||||
\(462\) | −0.0282298 | − | 0.160099i | −0.00131337 | − | 0.00744848i | ||||
\(463\) | −19.4309 | − | 33.6554i | −0.903033 | − | 1.56410i | −0.823536 | − | 0.567263i | \(-0.808002\pi\) |
−0.0794963 | − | 0.996835i | \(-0.525331\pi\) | |||||||
\(464\) | −3.77625 | + | 6.54065i | −0.175308 | + | 0.303642i | ||||
\(465\) | 13.4773 | + | 4.90532i | 0.624993 | + | 0.227479i | ||||
\(466\) | −9.93876 | − | 3.61741i | −0.460404 | − | 0.167573i | ||||
\(467\) | −14.3141 | + | 24.7927i | −0.662377 | + | 1.14727i | 0.317612 | + | 0.948221i | \(0.397119\pi\) |
−0.979989 | + | 0.199050i | \(0.936214\pi\) | |||||||
\(468\) | 5.83766 | + | 10.1111i | 0.269846 | + | 0.467387i | ||||
\(469\) | −0.0156687 | − | 0.0888615i | −0.000723513 | − | 0.00410324i | ||||
\(470\) | −3.27478 | − | 2.74787i | −0.151054 | − | 0.126750i | ||||
\(471\) | −6.67177 | + | 5.59828i | −0.307419 | + | 0.257955i | ||||
\(472\) | 0.630930 | − | 3.57818i | 0.0290409 | − | 0.164699i | ||||
\(473\) | −19.7032 | + | 7.17136i | −0.905952 | + | 0.329740i | ||||
\(474\) | −30.5874 | −1.40492 | ||||||||
\(475\) | −3.97782 | + | 1.78240i | −0.182515 | + | 0.0817822i | ||||
\(476\) | 0.186686 | 0.00855674 | ||||||||
\(477\) | 26.0926 | − | 9.49693i | 1.19470 | − | 0.434835i | ||||
\(478\) | −3.01327 | + | 17.0891i | −0.137824 | + | 0.781637i | ||||
\(479\) | −12.7889 | + | 10.7312i | −0.584340 | + | 0.490320i | −0.886369 | − | 0.462979i | \(-0.846781\pi\) |
0.302029 | + | 0.953299i | \(0.402336\pi\) | |||||||
\(480\) | 2.46347 | + | 2.06710i | 0.112442 | + | 0.0943498i | ||||
\(481\) | 0.107459 | + | 0.609433i | 0.00489973 | + | 0.0277877i | ||||
\(482\) | −0.239953 | − | 0.415610i | −0.0109295 | − | 0.0189305i | ||||
\(483\) | −0.168551 | + | 0.291939i | −0.00766934 | + | 0.0132837i | ||||
\(484\) | 5.94907 | + | 2.16529i | 0.270412 | + | 0.0984221i | ||||
\(485\) | −10.4812 | − | 3.81486i | −0.475929 | − | 0.173224i | ||||
\(486\) | −15.8373 | + | 27.4310i | −0.718394 | + | 1.24430i | ||||
\(487\) | −9.69165 | − | 16.7864i | −0.439171 | − | 0.760666i | 0.558455 | − | 0.829535i | \(-0.311394\pi\) |
−0.997626 | + | 0.0688690i | \(0.978061\pi\) | |||||||
\(488\) | 2.00421 | + | 11.3664i | 0.0907263 | + | 0.514534i | ||||
\(489\) | −33.9866 | − | 28.5181i | −1.53693 | − | 1.28963i | ||||
\(490\) | 5.36189 | − | 4.49916i | 0.242226 | − | 0.203251i | ||||
\(491\) | 6.30923 | − | 35.7814i | 0.284731 | − | 1.61479i | −0.421511 | − | 0.906823i | \(-0.638500\pi\) |
0.706243 | − | 0.707970i | \(-0.250389\pi\) | |||||||
\(492\) | 16.9312 | − | 6.16244i | 0.763316 | − | 0.277824i | ||||
\(493\) | −60.2666 | −2.71427 | ||||||||
\(494\) | 4.97493 | − | 4.82719i | 0.223833 | − | 0.217185i | ||||
\(495\) | 15.8639 | 0.713028 | ||||||||
\(496\) | −4.19091 | + | 1.52536i | −0.188177 | + | 0.0684909i | ||||
\(497\) | 0.0522800 | − | 0.296495i | 0.00234508 | − | 0.0132996i | ||||
\(498\) | −6.47487 | + | 5.43306i | −0.290146 | + | 0.243461i | ||||
\(499\) | −5.94585 | − | 4.98916i | −0.266173 | − | 0.223346i | 0.499926 | − | 0.866068i | \(-0.333360\pi\) |
−0.766099 | + | 0.642722i | \(0.777805\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | 39.0153 | + | 67.5765i | 1.74308 | + | 3.01909i | ||||
\(502\) | 2.98229 | − | 5.16548i | 0.133106 | − | 0.230546i | ||||
\(503\) | −0.597098 | − | 0.217326i | −0.0266233 | − | 0.00969008i | 0.328674 | − | 0.944443i | \(-0.393398\pi\) |
−0.355297 | + | 0.934753i | \(0.615620\pi\) | |||||||
\(504\) | −0.161399 | − | 0.0587446i | −0.00718930 | − | 0.00261669i | ||||
\(505\) | 9.32370 | − | 16.1491i | 0.414899 | − | 0.718627i | ||||
\(506\) | 4.84095 | + | 8.38477i | 0.215206 | + | 0.372748i | ||||
\(507\) | 5.84724 | + | 33.1613i | 0.259685 | + | 1.47275i | ||||
\(508\) | 6.64554 | + | 5.57627i | 0.294848 | + | 0.247407i | ||||
\(509\) | 20.1192 | − | 16.8820i | 0.891767 | − | 0.748282i | −0.0767966 | − | 0.997047i | \(-0.524469\pi\) |
0.968564 | + | 0.248765i | \(0.0800248\pi\) | |||||||
\(510\) | −4.45606 | + | 25.2716i | −0.197318 | + | 1.11904i | ||||
\(511\) | −0.0418048 | + | 0.0152157i | −0.00184934 | + | 0.000673103i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 58.5408 | + | 16.6355i | 2.58464 | + | 0.734476i | ||||
\(514\) | 13.5279 | 0.596692 | ||||||||
\(515\) | −3.32266 | + | 1.20935i | −0.146414 | + | 0.0532903i | ||||
\(516\) | −5.41871 | + | 30.7311i | −0.238546 | + | 1.35286i | ||||
\(517\) | 7.07620 | − | 5.93764i | 0.311211 | − | 0.261137i | ||||
\(518\) | −0.00697390 | − | 0.00585180i | −0.000306416 | − | 0.000257113i | ||||
\(519\) | 10.8130 | + | 61.3235i | 0.474637 | + | 2.69180i | ||||
\(520\) | −0.795147 | − | 1.37724i | −0.0348695 | − | 0.0603958i | ||||
\(521\) | −20.1453 | + | 34.8927i | −0.882583 | + | 1.52868i | −0.0341245 | + | 0.999418i | \(0.510864\pi\) |
−0.848459 | + | 0.529262i | \(0.822469\pi\) | |||||||
\(522\) | 52.1035 | + | 18.9641i | 2.28051 | + | 0.830038i | ||||
\(523\) | −15.7402 | − | 5.72897i | −0.688271 | − | 0.250510i | −0.0258764 | − | 0.999665i | \(-0.508238\pi\) |
−0.662395 | + | 0.749155i | \(0.730460\pi\) | |||||||
\(524\) | −10.3728 | + | 17.9662i | −0.453138 | + | 0.784859i | ||||
\(525\) | −0.0376174 | − | 0.0651553i | −0.00164176 | − | 0.00284361i | ||||
\(526\) | 3.05915 | + | 17.3493i | 0.133385 | + | 0.756466i | ||||
\(527\) | −27.2623 | − | 22.8758i | −1.18756 | − | 0.996485i | ||||
\(528\) | −5.32312 | + | 4.46663i | −0.231659 | + | 0.194385i | ||||
\(529\) | −0.507688 | + | 2.87924i | −0.0220734 | + | 0.125184i | ||||
\(530\) | −3.55407 | + | 1.29358i | −0.154379 | + | 0.0561894i | ||||
\(531\) | −26.6748 | −1.15759 | ||||||||
\(532\) | −0.0104179 | + | 0.101443i | −0.000451675 | + | 0.00439813i | ||||
\(533\) | −8.91014 | −0.385941 | ||||||||
\(534\) | −26.8198 | + | 9.76161i | −1.16061 | + | 0.422426i | ||||
\(535\) | 0.971151 | − | 5.50767i | 0.0419865 | − | 0.238117i | ||||
\(536\) | −2.95455 | + | 2.47916i | −0.127617 | + | 0.107083i | ||||
\(537\) | −21.1672 | − | 17.7614i | −0.913432 | − | 0.766461i | ||||
\(538\) | 0.447725 | + | 2.53918i | 0.0193028 | + | 0.109472i | ||||
\(539\) | 7.56227 | + | 13.0982i | 0.325730 | + | 0.564181i | ||||
\(540\) | 6.98095 | − | 12.0914i | 0.300412 | − | 0.520329i | ||||
\(541\) | −28.7784 | − | 10.4745i | −1.23728 | − | 0.450334i | −0.361196 | − | 0.932490i | \(-0.617632\pi\) |
−0.876085 | + | 0.482156i | \(0.839854\pi\) | |||||||
\(542\) | −10.4264 | − | 3.79489i | −0.447851 | − | 0.163005i | ||||
\(543\) | −6.74515 | + | 11.6830i | −0.289462 | + | 0.501363i | ||||
\(544\) | −3.98985 | − | 6.91062i | −0.171063 | − | 0.296291i | ||||
\(545\) | 1.63650 | + | 9.28104i | 0.0700998 | + | 0.397556i | ||||
\(546\) | 0.0916539 | + | 0.0769067i | 0.00392242 | + | 0.00329130i | ||||
\(547\) | −0.00614318 | + | 0.00515474i | −0.000262663 | + | 0.000220401i | −0.642919 | − | 0.765934i | \(-0.722277\pi\) |
0.642656 | + | 0.766155i | \(0.277832\pi\) | |||||||
\(548\) | 1.03639 | − | 5.87764i | 0.0442723 | − | 0.251081i | ||||
\(549\) | 79.6251 | − | 28.9812i | 3.39831 | − | 1.23689i | ||||
\(550\) | −2.16082 | −0.0921375 | ||||||||
\(551\) | 3.36316 | − | 32.7483i | 0.143275 | − | 1.39512i | ||||
\(552\) | 14.4091 | 0.613291 | ||||||||
\(553\) | −0.209102 | + | 0.0761070i | −0.00889194 | + | 0.00323640i | ||||
\(554\) | 0.513173 | − | 2.91035i | 0.0218026 | − | 0.123649i | ||||
\(555\) | 0.958616 | − | 0.804375i | 0.0406910 | − | 0.0341438i | ||||
\(556\) | −10.7868 | − | 9.05120i | −0.457462 | − | 0.383856i | ||||
\(557\) | 1.16220 | + | 6.59116i | 0.0492440 | + | 0.279276i | 0.999480 | − | 0.0322555i | \(-0.0102690\pi\) |
−0.950236 | + | 0.311532i | \(0.899158\pi\) | |||||||
\(558\) | 16.3713 | + | 28.3559i | 0.693052 | + | 1.20040i | ||||
\(559\) | 7.71578 | − | 13.3641i | 0.326343 | − | 0.565242i | ||||
\(560\) | 0.0219842 | + | 0.00800160i | 0.000929003 | + | 0.000338129i | ||||
\(561\) | −52.1056 | − | 18.9649i | −2.19990 | − | 0.800698i | ||||
\(562\) | 6.93049 | − | 12.0040i | 0.292345 | − | 0.506356i | ||||
\(563\) | −3.30354 | − | 5.72191i | −0.139228 | − | 0.241150i | 0.787977 | − | 0.615705i | \(-0.211129\pi\) |
−0.927205 | + | 0.374555i | \(0.877795\pi\) | |||||||
\(564\) | −2.38722 | − | 13.5386i | −0.100520 | − | 0.570078i | ||||
\(565\) | −4.36139 | − | 3.65964i | −0.183485 | − | 0.153962i | ||||
\(566\) | 3.55467 | − | 2.98272i | 0.149414 | − | 0.125373i | ||||
\(567\) | −0.0929276 | + | 0.527019i | −0.00390259 | + | 0.0221327i | ||||
\(568\) | −12.0928 | + | 4.40141i | −0.507402 | + | 0.184679i | ||||
\(569\) | −18.2452 | −0.764879 | −0.382440 | − | 0.923980i | \(-0.624916\pi\) | ||||
−0.382440 | + | 0.923980i | \(0.624916\pi\) | |||||||
\(570\) | −13.4837 | − | 3.83165i | −0.564768 | − | 0.160490i | ||||
\(571\) | −4.61851 | −0.193279 | −0.0966393 | − | 0.995319i | \(-0.530809\pi\) | ||||
−0.0966393 | + | 0.995319i | \(0.530809\pi\) | |||||||
\(572\) | 3.22910 | − | 1.17530i | 0.135015 | − | 0.0491416i | ||||
\(573\) | −10.5330 | + | 59.7356i | −0.440022 | + | 2.49549i | ||||
\(574\) | 0.100412 | − | 0.0842558i | 0.00419112 | − | 0.00351677i | ||||
\(575\) | 3.43239 | + | 2.88011i | 0.143140 | + | 0.120109i | ||||
\(576\) | 1.27486 | + | 7.23007i | 0.0531190 | + | 0.301253i | ||||
\(577\) | 20.1637 | + | 34.9245i | 0.839424 | + | 1.45393i | 0.890377 | + | 0.455224i | \(0.150441\pi\) |
−0.0509529 | + | 0.998701i | \(0.516226\pi\) | |||||||
\(578\) | 23.3378 | − | 40.4223i | 0.970725 | − | 1.68135i | ||||
\(579\) | −53.7733 | − | 19.5719i | −2.23474 | − | 0.813379i | ||||
\(580\) | −7.09702 | − | 2.58310i | −0.294688 | − | 0.107258i | ||||
\(581\) | −0.0307453 | + | 0.0532524i | −0.00127553 | + | 0.00220928i | ||||
\(582\) | −17.9346 | − | 31.0636i | −0.743412 | − | 1.28763i | ||||
\(583\) | −1.41915 | − | 8.04841i | −0.0587752 | − | 0.333331i | ||||
\(584\) | 1.45670 | + | 1.22231i | 0.0602785 | + | 0.0505797i | ||||
\(585\) | −8.94382 | + | 7.50475i | −0.369781 | + | 0.310283i | ||||
\(586\) | −2.06055 | + | 11.6860i | −0.0851207 | + | 0.482743i | ||||
\(587\) | −14.3315 | + | 5.21623i | −0.591523 | + | 0.215297i | −0.620399 | − | 0.784286i | \(-0.713029\pi\) |
0.0288761 | + | 0.999583i | \(0.490807\pi\) | |||||||
\(588\) | 22.5091 | 0.928260 | ||||||||
\(589\) | 13.9518 | − | 13.5375i | 0.574876 | − | 0.557803i | ||||
\(590\) | 3.63338 | 0.149584 | ||||||||
\(591\) | 40.8344 | − | 14.8625i | 1.67970 | − | 0.611363i | ||||
\(592\) | −0.0675720 | + | 0.383220i | −0.00277719 | + | 0.0157502i | ||||
\(593\) | −30.6860 | + | 25.7487i | −1.26012 | + | 1.05737i | −0.264456 | + | 0.964398i | \(0.585192\pi\) |
−0.995669 | + | 0.0929726i | \(0.970363\pi\) | |||||||
\(594\) | 23.1109 | + | 19.3923i | 0.948251 | + | 0.795677i | ||||
\(595\) | 0.0324177 | + | 0.183850i | 0.00132900 | + | 0.00753711i | ||||
\(596\) | −3.51704 | − | 6.09168i | −0.144063 | − | 0.249525i | ||||
\(597\) | 11.2814 | − | 19.5399i | 0.461716 | − | 0.799716i | ||||
\(598\) | −6.69585 | − | 2.43709i | −0.273814 | − | 0.0996600i | ||||
\(599\) | 25.5138 | + | 9.28628i | 1.04247 | + | 0.379427i | 0.805815 | − | 0.592167i | \(-0.201728\pi\) |
0.236652 | + | 0.971594i | \(0.423950\pi\) | |||||||
\(600\) | −1.60792 | + | 2.78500i | −0.0656430 | + | 0.113697i | ||||
\(601\) | 12.9663 | + | 22.4583i | 0.528907 | + | 0.916094i | 0.999432 | + | 0.0337070i | \(0.0107313\pi\) |
−0.470525 | + | 0.882387i | \(0.655935\pi\) | |||||||
\(602\) | 0.0394210 | + | 0.223567i | 0.00160668 | + | 0.00911193i | ||||
\(603\) | 21.6911 | + | 18.2010i | 0.883332 | + | 0.741203i | ||||
\(604\) | −10.7890 | + | 9.05302i | −0.438997 | + | 0.368362i | ||||
\(605\) | −1.09934 | + | 6.23469i | −0.0446947 | + | 0.253476i | ||||
\(606\) | 56.3506 | − | 20.5099i | 2.28908 | − | 0.833159i | ||||
\(607\) | −15.2583 | −0.619316 | −0.309658 | − | 0.950848i | \(-0.600215\pi\) | ||||
−0.309658 | + | 0.950848i | \(0.600215\pi\) | |||||||
\(608\) | 3.97782 | − | 1.78240i | 0.161322 | − | 0.0722859i | ||||
\(609\) | 0.568211 | 0.0230251 | ||||||||
\(610\) | −10.8457 | + | 3.94752i | −0.439131 | + | 0.159830i | ||||
\(611\) | −1.18053 | + | 6.69510i | −0.0477590 | + | 0.270855i | ||||
\(612\) | −44.8778 | + | 37.6570i | −1.81408 | + | 1.52219i | ||||
\(613\) | −3.61626 | − | 3.03440i | −0.146059 | − | 0.122558i | 0.566830 | − | 0.823835i | \(-0.308169\pi\) |
−0.712890 | + | 0.701276i | \(0.752614\pi\) | |||||||
\(614\) | −1.81328 | − | 10.2836i | −0.0731781 | − | 0.415013i | ||||
\(615\) | 9.00889 | + | 15.6038i | 0.363273 | + | 0.629208i | ||||
\(616\) | −0.0252763 | + | 0.0437798i | −0.00101841 | + | 0.00176394i | ||||
\(617\) | −28.4553 | − | 10.3569i | −1.14557 | − | 0.416953i | −0.301647 | − | 0.953420i | \(-0.597537\pi\) |
−0.843922 | + | 0.536467i | \(0.819759\pi\) | |||||||
\(618\) | −10.6851 | − | 3.88907i | −0.429819 | − | 0.156441i | ||||
\(619\) | 2.84795 | − | 4.93279i | 0.114469 | − | 0.198266i | −0.803099 | − | 0.595846i | \(-0.796817\pi\) |
0.917567 | + | 0.397581i | \(0.130150\pi\) | |||||||
\(620\) | −2.22993 | − | 3.86236i | −0.0895563 | − | 0.155116i | ||||
\(621\) | −10.8632 | − | 61.6082i | −0.435925 | − | 2.47225i | ||||
\(622\) | 11.2349 | + | 9.42721i | 0.450479 | + | 0.377997i | ||||
\(623\) | −0.159058 | + | 0.133465i | −0.00637252 | + | 0.00534718i | ||||
\(624\) | 0.888059 | − | 5.03643i | 0.0355508 | − | 0.201619i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | 21.4779 | 0.858430 | ||||||||
\(627\) | 13.2131 | − | 27.2554i | 0.527679 | − | 1.08847i | ||||
\(628\) | 2.70828 | 0.108072 | ||||||||
\(629\) | −2.91789 | + | 1.06203i | −0.116344 | + | 0.0423457i | ||||
\(630\) | 0.0298254 | − | 0.169148i | 0.00118827 | − | 0.00673903i | ||||
\(631\) | −32.4485 | + | 27.2275i | −1.29175 | + | 1.08391i | −0.300246 | + | 0.953862i | \(0.597069\pi\) |
−0.991508 | + | 0.130048i | \(0.958487\pi\) | |||||||
\(632\) | 7.28621 | + | 6.11386i | 0.289830 | + | 0.243196i | ||||
\(633\) | −3.97459 | − | 22.5410i | −0.157976 | − | 0.895925i | ||||
\(634\) | 5.90826 | + | 10.2334i | 0.234647 | + | 0.406420i | ||||
\(635\) | −4.33757 | + | 7.51289i | −0.172131 | + | 0.298140i | ||||
\(636\) | −11.4293 | − | 4.15993i | −0.453202 | − | 0.164952i | ||||
\(637\) | −10.4599 | − | 3.80709i | −0.414436 | − | 0.150842i | ||||
\(638\) | 8.15977 | − | 14.1331i | 0.323049 | − | 0.559537i | ||||
\(639\) | 47.2391 | + | 81.8206i | 1.86875 | + | 3.23677i | ||||
\(640\) | −0.173648 | − | 0.984808i | −0.00686405 | − | 0.0389279i | ||||
\(641\) | −20.8636 | − | 17.5066i | −0.824062 | − | 0.691470i | 0.129858 | − | 0.991533i | \(-0.458548\pi\) |
−0.953920 | + | 0.300063i | \(0.902992\pi\) | |||||||
\(642\) | 13.7773 | − | 11.5605i | 0.543747 | − | 0.456258i | ||||
\(643\) | −0.608700 | + | 3.45211i | −0.0240048 | + | 0.136138i | −0.994455 | − | 0.105164i | \(-0.966463\pi\) |
0.970450 | + | 0.241302i | \(0.0775744\pi\) | |||||||
\(644\) | 0.0985039 | − | 0.0358525i | 0.00388160 | − | 0.00141279i | ||||
\(645\) | −31.2051 | −1.22870 | ||||||||
\(646\) | 28.1884 | + | 20.3777i | 1.10906 | + | 0.801750i | ||||
\(647\) | 44.9855 | 1.76856 | 0.884280 | − | 0.466956i | \(-0.154649\pi\) | ||||
0.884280 | + | 0.466956i | \(0.154649\pi\) | |||||||
\(648\) | 21.4949 | − | 7.82350i | 0.844399 | − | 0.307336i | ||||
\(649\) | −1.36332 | + | 7.73179i | −0.0535151 | + | 0.303499i | ||||
\(650\) | 1.21824 | − | 1.02222i | 0.0477832 | − | 0.0400948i | ||||
\(651\) | 0.257037 | + | 0.215679i | 0.0100741 | + | 0.00845314i | ||||
\(652\) | 2.39569 | + | 13.5866i | 0.0938223 | + | 0.532093i | ||||
\(653\) | −7.96033 | − | 13.7877i | −0.311512 | − | 0.539555i | 0.667178 | − | 0.744898i | \(-0.267502\pi\) |
−0.978690 | + | 0.205344i | \(0.934169\pi\) | |||||||
\(654\) | −15.1534 | + | 26.2464i | −0.592543 | + | 1.02632i | ||||
\(655\) | −19.4945 | − | 7.09542i | −0.761713 | − | 0.277241i | ||||
\(656\) | −5.26493 | − | 1.91628i | −0.205561 | − | 0.0748181i | ||||
\(657\) | 6.98034 | − | 12.0903i | 0.272329 | − | 0.471687i | ||||
\(658\) | −0.0500061 | − | 0.0866132i | −0.00194944 | − | 0.00337653i | ||||
\(659\) | 3.30453 | + | 18.7409i | 0.128726 | + | 0.730042i | 0.979025 | + | 0.203741i | \(0.0653102\pi\) |
−0.850299 | + | 0.526301i | \(0.823579\pi\) | |||||||
\(660\) | −5.32312 | − | 4.46663i | −0.207202 | − | 0.173863i | ||||
\(661\) | 17.6520 | − | 14.8118i | 0.686583 | − | 0.576111i | −0.231339 | − | 0.972873i | \(-0.574311\pi\) |
0.917922 | + | 0.396762i | \(0.129866\pi\) | |||||||
\(662\) | −3.08425 | + | 17.4916i | −0.119873 | + | 0.679831i | ||||
\(663\) | 38.3481 | − | 13.9576i | 1.48932 | − | 0.542067i | ||||
\(664\) | 2.62835 | 0.102000 | ||||||||
\(665\) | −0.101711 | + | 0.00735579i | −0.00394419 | + | 0.000285245i | ||||
\(666\) | 2.85685 | 0.110701 | ||||||||
\(667\) | −31.7994 | + | 11.5740i | −1.23128 | + | 0.448148i | ||||
\(668\) | 4.21348 | − | 23.8958i | 0.163025 | − | 0.924558i | ||||
\(669\) | 10.7409 | − | 9.01268i | 0.415267 | − | 0.348450i | ||||
\(670\) | −2.95455 | − | 2.47916i | −0.114144 | − | 0.0957783i | ||||
\(671\) | −4.33073 | − | 24.5608i | −0.167186 | − | 0.948158i | ||||
\(672\) | 0.0376174 | + | 0.0651553i | 0.00145112 | + | 0.00251342i | ||||
\(673\) | −5.68840 | + | 9.85260i | −0.219272 | + | 0.379790i | −0.954586 | − | 0.297937i | \(-0.903701\pi\) |
0.735314 | + | 0.677727i | \(0.237035\pi\) | |||||||
\(674\) | 2.24184 | + | 0.815962i | 0.0863523 | + | 0.0314297i | ||||
\(675\) | 13.1199 | + | 4.77525i | 0.504985 | + | 0.183800i | ||||
\(676\) | 5.23548 | − | 9.06812i | 0.201365 | − | 0.348774i | ||||
\(677\) | −20.8875 | − | 36.1782i | −0.802771 | − | 1.39044i | −0.917786 | − | 0.397076i | \(-0.870025\pi\) |
0.115015 | − | 0.993364i | \(-0.463308\pi\) | |||||||
\(678\) | −3.17933 | − | 18.0309i | −0.122101 | − | 0.692471i | ||||
\(679\) | −0.199897 | − | 0.167733i | −0.00767134 | − | 0.00643701i | ||||
\(680\) | 6.11281 | − | 5.12925i | 0.234415 | − | 0.196698i | ||||
\(681\) | −5.27501 | + | 29.9160i | −0.202139 | + | 1.14639i | ||||
\(682\) | 9.05578 | − | 3.29603i | 0.346764 | − | 0.126212i | ||||
\(683\) | 9.65205 | 0.369325 | 0.184663 | − | 0.982802i | \(-0.440881\pi\) | ||||
0.184663 | + | 0.982802i | \(0.440881\pi\) | |||||||
\(684\) | −17.9580 | − | 26.4876i | −0.686643 | − | 1.01278i | ||||
\(685\) | 5.96832 | 0.228038 | ||||||||
\(686\) | 0.307767 | − | 0.112018i | 0.0117506 | − | 0.00427687i | ||||
\(687\) | −12.7697 | + | 72.4208i | −0.487196 | + | 2.76303i | ||||
\(688\) | 7.43337 | − | 6.23734i | 0.283395 | − | 0.237796i | ||||
\(689\) | 4.60757 | + | 3.86621i | 0.175535 | + | 0.147291i | ||||
\(690\) | 2.50211 | + | 14.1902i | 0.0952537 | + | 0.540211i | ||||
\(691\) | 3.58223 | + | 6.20461i | 0.136275 | + | 0.236034i | 0.926084 | − | 0.377318i | \(-0.123154\pi\) |
−0.789809 | + | 0.613353i | \(0.789820\pi\) | |||||||
\(692\) | 9.68169 | − | 16.7692i | 0.368043 | − | 0.637469i | ||||
\(693\) | 0.348755 | + | 0.126936i | 0.0132481 | + | 0.00482191i | ||||
\(694\) | 14.4726 | + | 5.26759i | 0.549372 | + | 0.199955i | ||||
\(695\) | 7.04059 | − | 12.1947i | 0.267065 | − | 0.462569i | ||||
\(696\) | −12.1438 | − | 21.0337i | −0.460309 | − | 0.797279i | ||||
\(697\) | −7.76361 | − | 44.0296i | −0.294068 | − | 1.66774i | ||||
\(698\) | −7.54185 | − | 6.32836i | −0.285463 | − | 0.239532i | ||||
\(699\) | 26.0552 | − | 21.8629i | 0.985498 | − | 0.826931i | ||||
\(700\) | −0.00406252 | + | 0.0230397i | −0.000153549 | + | 0.000870818i | ||||
\(701\) | −5.58820 | + | 2.03394i | −0.211063 | + | 0.0768208i | −0.445388 | − | 0.895338i | \(-0.646934\pi\) |
0.234325 | + | 0.972158i | \(0.424712\pi\) | |||||||
\(702\) | −22.2035 | −0.838019 | ||||||||
\(703\) | −0.414263 | − | 1.64482i | −0.0156242 | − | 0.0620356i | ||||
\(704\) | 2.16082 | 0.0814389 | ||||||||
\(705\) | 12.9184 | − | 4.70191i | 0.486534 | − | 0.177084i | ||||
\(706\) | 1.47838 | − | 8.38429i | 0.0556394 | − | 0.315547i | ||||
\(707\) | 0.334193 | − | 0.280421i | 0.0125686 | − | 0.0105463i | ||||
\(708\) | 8.95073 | + | 7.51056i | 0.336389 | + | 0.282264i | ||||
\(709\) | 6.60131 | + | 37.4379i | 0.247918 | + | 1.40601i | 0.813618 | + | 0.581400i | \(0.197495\pi\) |
−0.565701 | + | 0.824611i | \(0.691394\pi\) | |||||||
\(710\) | −6.43444 | − | 11.1448i | −0.241480 | − | 0.418256i | ||||
\(711\) | 34.9148 | − | 60.4742i | 1.30941 | − | 2.26796i | ||||
\(712\) | 8.33992 | + | 3.03548i | 0.312552 | + | 0.113759i | ||||
\(713\) | −18.7780 | − | 6.83465i | −0.703243 | − | 0.255959i | ||||
\(714\) | −0.300176 | + | 0.519920i | −0.0112338 | + | 0.0194575i | ||||
\(715\) | 1.71817 | + | 2.97595i | 0.0642558 | + | 0.111294i | ||||
\(716\) | 1.49206 | + | 8.46188i | 0.0557608 | + | 0.316235i | ||||
\(717\) | −42.7480 | − | 35.8698i | −1.59645 | − | 1.33958i | ||||
\(718\) | −24.1446 | + | 20.2597i | −0.901069 | + | 0.756087i | ||||
\(719\) | 1.48425 | − | 8.41760i | 0.0553532 | − | 0.313923i | −0.944542 | − | 0.328390i | \(-0.893494\pi\) |
0.999895 | + | 0.0144667i | \(0.00460506\pi\) | |||||||
\(720\) | −6.89886 | + | 2.51098i | −0.257105 | + | 0.0935786i | ||||
\(721\) | −0.0827228 | −0.00308076 | ||||||||
\(722\) | −12.6461 | + | 14.1801i | −0.470639 | + | 0.527730i | ||||
\(723\) | 1.54330 | 0.0573958 | ||||||||
\(724\) | 3.94197 | − | 1.43476i | 0.146502 | − | 0.0533225i | ||||
\(725\) | 1.31148 | − | 7.43775i | 0.0487070 | − | 0.276231i | ||||
\(726\) | −15.5959 | + | 13.0865i | −0.578819 | + | 0.485687i | ||||
\(727\) | 6.42127 | + | 5.38809i | 0.238152 | + | 0.199833i | 0.754050 | − | 0.656817i | \(-0.228097\pi\) |
−0.515899 | + | 0.856650i | \(0.672542\pi\) | |||||||
\(728\) | −0.00646060 | − | 0.0366399i | −0.000239446 | − | 0.00135796i | ||||
\(729\) | −16.6186 | − | 28.7842i | −0.615503 | − | 1.06608i | ||||
\(730\) | −0.950791 | + | 1.64682i | −0.0351904 | + | 0.0609515i | ||||
\(731\) | 72.7620 | + | 26.4832i | 2.69120 | + | 0.979516i | ||||
\(732\) | −34.8781 | − | 12.6946i | −1.28913 | − | 0.469205i | ||||
\(733\) | 5.96195 | − | 10.3264i | 0.220210 | − | 0.381414i | −0.734662 | − | 0.678433i | \(-0.762659\pi\) |
0.954872 | + | 0.297019i | \(0.0959925\pi\) | |||||||
\(734\) | 3.48743 | + | 6.04040i | 0.128723 | + | 0.222955i | ||||
\(735\) | 3.90866 | + | 22.1671i | 0.144173 | + | 0.817647i | ||||
\(736\) | −3.43239 | − | 2.88011i | −0.126519 | − | 0.106162i | ||||
\(737\) | 6.38424 | − | 5.35701i | 0.235166 | − | 0.197328i | ||||
\(738\) | −7.14280 | + | 40.5088i | −0.262930 | + | 1.49115i | ||||
\(739\) | −23.9241 | + | 8.70767i | −0.880063 | + | 0.320317i | −0.742235 | − | 0.670140i | \(-0.766234\pi\) |
−0.137828 | + | 0.990456i | \(0.544012\pi\) | |||||||
\(740\) | −0.389132 | −0.0143048 | ||||||||
\(741\) | 5.44441 | + | 21.6169i | 0.200005 | + | 0.794117i | ||||
\(742\) | −0.0884842 | −0.00324836 | ||||||||
\(743\) | −14.9949 | + | 5.45769i | −0.550109 | + | 0.200223i | −0.602095 | − | 0.798425i | \(-0.705667\pi\) |
0.0519860 | + | 0.998648i | \(0.483445\pi\) | |||||||
\(744\) | 2.49050 | − | 14.1243i | 0.0913061 | − | 0.517823i | ||||
\(745\) | 5.38841 | − | 4.52141i | 0.197416 | − | 0.165652i | ||||
\(746\) | −9.23447 | − | 7.74864i | −0.338098 | − | 0.283698i | ||||
\(747\) | −3.35077 | − | 19.0032i | −0.122598 | − | 0.695289i | ||||
\(748\) | 8.62134 | + | 14.9326i | 0.315227 | + | 0.545990i | ||||
\(749\) | 0.0654201 | − | 0.113311i | 0.00239040 | − | 0.00414029i | ||||
\(750\) | −3.02190 | − | 1.09988i | −0.110344 | − | 0.0401620i | ||||
\(751\) | 1.48505 | + | 0.540514i | 0.0541903 | + | 0.0197237i | 0.368973 | − | 0.929440i | \(-0.379709\pi\) |
−0.314783 | + | 0.949164i | \(0.601932\pi\) | |||||||
\(752\) | −2.13746 | + | 3.70219i | −0.0779452 | + | 0.135005i | ||||
\(753\) | 9.59055 | + | 16.6113i | 0.349499 | + | 0.605350i | ||||
\(754\) | 2.08563 | + | 11.8282i | 0.0759543 | + | 0.430758i | ||||
\(755\) | −10.7890 | − | 9.05302i | −0.392651 | − | 0.329473i | ||||
\(756\) | 0.250221 | − | 0.209960i | 0.00910045 | − | 0.00763618i | ||||
\(757\) | −3.33882 | + | 18.9354i | −0.121351 | + | 0.688217i | 0.862057 | + | 0.506811i | \(0.169176\pi\) |
−0.983408 | + | 0.181406i | \(0.941935\pi\) | |||||||
\(758\) | −6.41138 | + | 2.33355i | −0.232872 | + | 0.0847584i | ||||
\(759\) | −31.1354 | −1.13014 | ||||||||
\(760\) | 2.44606 | + | 3.60788i | 0.0887281 | + | 0.130871i | ||||
\(761\) | 12.6228 | 0.457576 | 0.228788 | − | 0.973476i | \(-0.426524\pi\) | ||||
0.228788 | + | 0.973476i | \(0.426524\pi\) | |||||||
\(762\) | −26.2154 | + | 9.54161i | −0.949683 | + | 0.345656i | ||||
\(763\) | −0.0382860 | + | 0.217131i | −0.00138605 | + | 0.00786067i | ||||
\(764\) | 14.4491 | − | 12.1243i | 0.522751 | − | 0.438640i | ||||
\(765\) | −44.8778 | − | 37.6570i | −1.62256 | − | 1.36149i | ||||
\(766\) | −1.88011 | − | 10.6626i | −0.0679310 | − | 0.385256i | ||||
\(767\) | −2.88907 | − | 5.00402i | −0.104318 | − | 0.180685i | ||||
\(768\) | 1.60792 | − | 2.78500i | 0.0580208 | − | 0.100495i | ||||
\(769\) | 37.7534 | + | 13.7411i | 1.36142 | + | 0.495518i | 0.916494 | − | 0.400048i | \(-0.131007\pi\) |
0.444929 | + | 0.895566i | \(0.353229\pi\) | |||||||
\(770\) | −0.0475039 | − | 0.0172900i | −0.00171192 | − | 0.000623088i | ||||
\(771\) | −21.7518 | + | 37.6753i | −0.783373 | + | 1.35684i | ||||
\(772\) | 8.89727 | + | 15.4105i | 0.320220 | + | 0.554637i | ||||
\(773\) | 4.48376 | + | 25.4287i | 0.161270 | + | 0.914606i | 0.952828 | + | 0.303512i | \(0.0981592\pi\) |
−0.791558 | + | 0.611094i | \(0.790730\pi\) | |||||||
\(774\) | −54.5729 | − | 45.7921i | −1.96158 | − | 1.64596i | ||||
\(775\) | 3.41646 | − | 2.86675i | 0.122723 | − | 0.102977i | ||||
\(776\) | −1.93685 | + | 10.9844i | −0.0695290 | + | 0.394319i | ||||
\(777\) | 0.0275107 | − | 0.0100131i | 0.000986941 | − | 0.000359217i | ||||
\(778\) | 7.52625 | 0.269829 | ||||||||
\(779\) | 24.3585 | − | 1.76162i | 0.872735 | − | 0.0631164i | ||||
\(780\) | 5.11413 | 0.183115 | ||||||||
\(781\) | 26.1303 | − | 9.51065i | 0.935016 | − | 0.340318i | ||||
\(782\) | 6.20868 | − | 35.2112i | 0.222022 | − | 1.25915i | ||||
\(783\) | −80.7772 | + | 67.7801i | −2.88674 | + | 2.42226i | ||||
\(784\) | −5.36189 | − | 4.49916i | −0.191496 | − | 0.160684i | ||||
\(785\) | 0.470287 | + | 2.66713i | 0.0167853 | + | 0.0951940i | ||||
\(786\) | −33.3573 | − | 57.7765i | −1.18981 | − | 2.06082i | ||||
\(787\) | 12.3413 | − | 21.3757i | 0.439919 | − | 0.761963i | −0.557763 | − | 0.830000i | \(-0.688340\pi\) |
0.997683 | + | 0.0680373i | \(0.0216737\pi\) | |||||||
\(788\) | −12.6979 | − | 4.62167i | −0.452345 | − | 0.164640i | ||||
\(789\) | −53.2366 | − | 19.3766i | −1.89527 | − | 0.689823i | ||||
\(790\) | −4.75574 | + | 8.23718i | −0.169202 | + | 0.293066i | ||||
\(791\) | −0.0665987 | − | 0.115352i | −0.00236798 | − | 0.00410146i | ||||
\(792\) | −2.75473 | − | 15.6229i | −0.0978852 | − | 0.555134i | ||||
\(793\) | 14.0606 | + | 11.7983i | 0.499307 | + | 0.418968i | ||||
\(794\) | 3.79097 | − | 3.18100i | 0.134537 | − | 0.112890i | ||||
\(795\) | 2.11205 | − | 11.9780i | 0.0749068 | − | 0.424818i | ||||
\(796\) | −6.59301 | + | 2.39966i | −0.233683 | + | 0.0850537i | ||||
\(797\) | 20.6723 | 0.732249 | 0.366124 | − | 0.930566i | \(-0.380684\pi\) | ||||
0.366124 | + | 0.930566i | \(0.380684\pi\) | |||||||
\(798\) | −0.265768 | − | 0.192127i | −0.00940809 | − | 0.00680121i | ||||
\(799\) | −34.1126 | −1.20682 | ||||||||
\(800\) | 0.939693 | − | 0.342020i | 0.0332232 | − | 0.0120922i | ||||
\(801\) | 11.3145 | − | 64.1680i | 0.399780 | − | 2.26726i | ||||
\(802\) | −15.2307 | + | 12.7801i | −0.537816 | + | 0.451281i | ||||
\(803\) | −3.14766 | − | 2.64120i | −0.111078 | − | 0.0932058i | ||||
\(804\) | −2.15378 | − | 12.2147i | −0.0759580 | − | 0.430779i | ||||
\(805\) | 0.0524128 | + | 0.0907816i | 0.00184731 | + | 0.00319963i | ||||
\(806\) | −3.54625 | + | 6.14229i | −0.124911 | + | 0.216353i | ||||
\(807\) | −7.79150 | − | 2.83587i | −0.274274 | − | 0.0998275i | ||||
\(808\) | −17.5228 | − | 6.37779i | −0.616451 | − | 0.224370i | ||||
\(809\) | 14.2987 | − | 24.7661i | 0.502716 | − | 0.870729i | −0.497279 | − | 0.867590i | \(-0.665668\pi\) |
0.999995 | − | 0.00313869i | \(-0.000999078\pi\) | |||||||
\(810\) | 11.4372 | + | 19.8098i | 0.401862 | + | 0.696045i | ||||
\(811\) | −2.71497 | − | 15.3973i | −0.0953353 | − | 0.540674i | −0.994644 | − | 0.103359i | \(-0.967041\pi\) |
0.899309 | − | 0.437314i | \(-0.144070\pi\) | |||||||
\(812\) | −0.135353 | − | 0.113575i | −0.00474997 | − | 0.00398570i | ||||
\(813\) | 27.3335 | − | 22.9355i | 0.958628 | − | 0.804385i | ||||
\(814\) | 0.146011 | − | 0.828068i | 0.00511768 | − | 0.0290238i | ||||
\(815\) | −12.9642 | + | 4.71858i | −0.454116 | + | 0.165285i | ||||
\(816\) | 25.6614 | 0.898329 | ||||||||
\(817\) | −18.4512 | + | 38.0603i | −0.645525 | + | 1.33156i | ||||
\(818\) | −12.8906 | −0.450708 | ||||||||
\(819\) | −0.256673 | + | 0.0934212i | −0.00896887 | + | 0.00326440i | ||||
\(820\) | 0.972920 | − | 5.51771i | 0.0339759 | − | 0.192687i | ||||
\(821\) | 19.8911 | − | 16.6906i | 0.694204 | − | 0.582506i | −0.225914 | − | 0.974147i | \(-0.572537\pi\) |
0.920118 | + | 0.391641i | \(0.128092\pi\) | |||||||
\(822\) | 14.7028 | + | 12.3371i | 0.512819 | + | 0.430306i | ||||
\(823\) | −6.29176 | − | 35.6823i | −0.219317 | − | 1.24381i | −0.873256 | − | 0.487261i | \(-0.837996\pi\) |
0.653939 | − | 0.756547i | \(-0.273115\pi\) | |||||||
\(824\) | 1.76795 | + | 3.06218i | 0.0615895 | + | 0.106676i | ||||
\(825\) | 3.47442 | − | 6.01787i | 0.120964 | − | 0.209515i | ||||
\(826\) | 0.0798770 | + | 0.0290728i | 0.00277928 | + | 0.00101157i | ||||
\(827\) | 16.9142 | + | 6.15626i | 0.588164 | + | 0.214074i | 0.618921 | − | 0.785453i | \(-0.287570\pi\) |
−0.0307580 | + | 0.999527i | \(0.509792\pi\) | |||||||
\(828\) | −16.4476 | + | 28.4881i | −0.571595 | + | 0.990031i | ||||
\(829\) | 13.0982 | + | 22.6867i | 0.454919 | + | 0.787943i | 0.998684 | − | 0.0512947i | \(-0.0163348\pi\) |
−0.543764 | + | 0.839238i | \(0.683001\pi\) | |||||||
\(830\) | 0.456408 | + | 2.58842i | 0.0158422 | + | 0.0898453i | ||||
\(831\) | 7.28016 | + | 6.10878i | 0.252546 | + | 0.211911i | ||||
\(832\) | −1.21824 | + | 1.02222i | −0.0422348 | + | 0.0354392i | ||||
\(833\) | 9.69887 | − | 55.0050i | 0.336046 | − | 1.90581i | ||||
\(834\) | 42.5519 | − | 15.4876i | 1.47345 | − | 0.536292i | ||||
\(835\) | 24.2645 | 0.839707 | ||||||||
\(836\) | −8.59534 | + | 3.85144i | −0.297276 | + | 0.133205i | ||||
\(837\) | −62.2683 | −2.15231 | ||||||||
\(838\) | 4.21382 | − | 1.53371i | 0.145564 | − | 0.0529810i | ||||
\(839\) | 0.609122 | − | 3.45450i | 0.0210292 | − | 0.119263i | −0.972486 | − | 0.232961i | \(-0.925159\pi\) |
0.993515 | + | 0.113698i | \(0.0362697\pi\) | |||||||
\(840\) | −0.0576332 | + | 0.0483600i | −0.00198854 | + | 0.00166858i | ||||
\(841\) | 21.4800 | + | 18.0238i | 0.740689 | + | 0.621512i | ||||
\(842\) | 3.74698 | + | 21.2502i | 0.129129 | + | 0.732329i | ||||
\(843\) | 22.2873 | + | 38.6028i | 0.767616 | + | 1.32955i | ||||
\(844\) | −3.55876 | + | 6.16395i | −0.122497 | + | 0.212172i | ||||
\(845\) | 9.83949 | + | 3.58128i | 0.338489 | + | 0.123200i | ||||
\(846\) | 29.4921 | + | 10.7342i | 1.01396 | + | 0.369051i | ||||
\(847\) | −0.0740557 | + | 0.128268i | −0.00254458 | + | 0.00440735i | ||||
\(848\) | 1.89108 | + | 3.27545i | 0.0649400 | + | 0.112479i | ||||
\(849\) | 2.59125 | + | 14.6957i | 0.0889316 | + | 0.504356i | ||||
\(850\) | 6.11281 | + | 5.12925i | 0.209668 | + | 0.175932i | ||||
\(851\) | −1.33565 | + | 1.12074i | −0.0457855 | + | 0.0384186i | ||||
\(852\) | 7.18629 | − | 40.7555i | 0.246198 | − | 1.39626i | ||||
\(853\) | −37.9556 | + | 13.8147i | −1.29958 | + | 0.473007i | −0.896858 | − | 0.442318i | \(-0.854156\pi\) |
−0.402717 | + | 0.915325i | \(0.631934\pi\) | |||||||
\(854\) | −0.270021 | −0.00923993 | ||||||||
\(855\) | 22.9668 | − | 22.2847i | 0.785449 | − | 0.762122i | ||||
\(856\) | −5.59263 | −0.191152 | ||||||||
\(857\) | 15.9081 | − | 5.79009i | 0.543412 | − | 0.197786i | −0.0557051 | − | 0.998447i | \(-0.517741\pi\) |
0.599117 | + | 0.800662i | \(0.295518\pi\) | |||||||
\(858\) | −1.91893 | + | 10.8828i | −0.0655113 | + | 0.371533i | ||||
\(859\) | 8.61145 | − | 7.22586i | 0.293819 | − | 0.246543i | −0.483947 | − | 0.875097i | \(-0.660797\pi\) |
0.777766 | + | 0.628554i | \(0.216353\pi\) | |||||||
\(860\) | 7.43337 | + | 6.23734i | 0.253476 | + | 0.212692i | ||||
\(861\) | 0.0731975 | + | 0.415124i | 0.00249457 | + | 0.0141474i | ||||
\(862\) | 5.95535 | + | 10.3150i | 0.202840 | + | 0.351329i | ||||
\(863\) | 27.5361 | − | 47.6939i | 0.937340 | − | 1.62352i | 0.166932 | − | 0.985968i | \(-0.446614\pi\) |
0.770407 | − | 0.637552i | \(-0.220053\pi\) | |||||||
\(864\) | −13.1199 | − | 4.77525i | −0.446348 | − | 0.162457i | ||||
\(865\) | 18.1956 | + | 6.62267i | 0.618670 | + | 0.225177i | ||||
\(866\) | 11.0652 | − | 19.1654i | 0.376010 | − | 0.651268i | ||||
\(867\) | 75.0506 | + | 129.991i | 2.54885 | + | 4.41474i | ||||
\(868\) | −0.0181183 | − | 0.102754i | −0.000614975 | − | 0.00348770i | ||||
\(869\) | −15.7442 | − | 13.2109i | −0.534085 | − | 0.448150i | ||||
\(870\) | 18.6054 | − | 15.6118i | 0.630781 | − | 0.529288i | ||||
\(871\) | −1.06509 | + | 6.04041i | −0.0360891 | + | 0.204671i | ||||
\(872\) | 8.85586 | − | 3.22327i | 0.299897 | − | 0.109154i | ||||
\(873\) | 81.8876 | 2.77147 | ||||||||
\(874\) | 18.7869 | + | 5.33868i | 0.635478 | + | 0.180584i | ||||
\(875\) | −0.0233951 | −0.000790899 | ||||||||
\(876\) | −5.74639 | + | 2.09151i | −0.194153 | + | 0.0706657i | ||||
\(877\) | −3.25617 | + | 18.4667i | −0.109953 | + | 0.623575i | 0.879173 | + | 0.476503i | \(0.158096\pi\) |
−0.989126 | + | 0.147072i | \(0.953015\pi\) | |||||||
\(878\) | 5.28176 | − | 4.43192i | 0.178251 | − | 0.149570i | ||||
\(879\) | −29.2322 | − | 24.5287i | −0.985978 | − | 0.827334i | ||||
\(880\) | 0.375222 | + | 2.12799i | 0.0126487 | + | 0.0717345i | ||||
\(881\) | −25.3287 | − | 43.8706i | −0.853345 | − | 1.47804i | −0.878172 | − | 0.478345i | \(-0.841237\pi\) |
0.0248271 | − | 0.999692i | \(-0.492096\pi\) | |||||||
\(882\) | −25.6936 | + | 44.5027i | −0.865149 | + | 1.49848i | ||||
\(883\) | 32.0818 | + | 11.6768i | 1.07964 | + | 0.392956i | 0.819773 | − | 0.572688i | \(-0.194099\pi\) |
0.259866 | + | 0.965645i | \(0.416322\pi\) | |||||||
\(884\) | −11.9248 | − | 4.34026i | −0.401073 | − | 0.145979i | ||||
\(885\) | −5.84218 | + | 10.1189i | −0.196383 | + | 0.340145i | ||||
\(886\) | −0.772800 | − | 1.33853i | −0.0259627 | − | 0.0449687i | ||||
\(887\) | −6.11812 | − | 34.6976i | −0.205426 | − | 1.16503i | −0.896767 | − | 0.442502i | \(-0.854091\pi\) |
0.691341 | − | 0.722529i | \(-0.257020\pi\) | |||||||
\(888\) | −0.958616 | − | 0.804375i | −0.0321691 | − | 0.0269930i | ||||
\(889\) | −0.155473 | + | 0.130457i | −0.00521440 | + | 0.00437540i | ||||
\(890\) | −1.54115 | + | 8.74032i | −0.0516596 | + | 0.292976i | ||||
\(891\) | −46.4465 | + | 16.9052i | −1.55602 | + | 0.566344i | ||||
\(892\) | −4.36006 | −0.145986 | ||||||||
\(893\) | 1.90364 | − | 18.5365i | 0.0637029 | − | 0.620299i | ||||
\(894\) | 22.6204 | 0.756540 | ||||||||
\(895\) | −8.07423 | + | 2.93878i | −0.269892 | + | 0.0982326i | ||||
\(896\) | 0.00406252 | − | 0.0230397i | 0.000135719 | − | 0.000769702i | ||||
\(897\) | 17.5537 | − | 14.7293i | 0.586100 | − | 0.491796i | ||||
\(898\) | −4.53487 | − | 3.80521i | −0.151331 | − | 0.126981i | ||||
\(899\) | 5.84901 | + | 33.1714i | 0.195075 | + | 1.10633i | ||||
\(900\) | −3.67080 | − | 6.35802i | −0.122360 | − | 0.211934i | ||||
\(901\) | −15.0903 | + | 26.1371i | −0.502730 | + | 0.870754i | ||||
\(902\) | 11.3766 | + | 4.14073i | 0.378798 | + | 0.137871i | ||||
\(903\) | −0.686020 | − | 0.249691i | −0.0228293 | − | 0.00830919i | ||||
\(904\) | −2.84670 | + | 4.93062i | −0.0946797 | + | 0.163990i | ||||
\(905\) | 2.09748 | + | 3.63294i | 0.0697226 | + | 0.120763i | ||||
\(906\) | −7.86485 | − | 44.6038i | −0.261292 | − | 1.48186i | ||||
\(907\) | 14.6698 | + | 12.3094i | 0.487103 | + | 0.408728i | 0.852987 | − | 0.521932i | \(-0.174789\pi\) |
−0.365883 | + | 0.930661i | \(0.619233\pi\) | |||||||
\(908\) | 7.23624 | − | 6.07192i | 0.240143 | − | 0.201504i | ||||
\(909\) | −23.7728 | + | 134.822i | −0.788493 | + | 4.47177i | ||||
\(910\) | 0.0349614 | − | 0.0127249i | 0.00115896 | − | 0.000421826i | ||||
\(911\) | 24.5134 | 0.812164 | 0.406082 | − | 0.913837i | \(-0.366895\pi\) | ||||
0.406082 | + | 0.913837i | \(0.366895\pi\) | |||||||
\(912\) | −1.43203 | + | 13.9442i | −0.0474191 | + | 0.461738i | ||||
\(913\) | −5.67938 | −0.187960 | ||||||||
\(914\) | 27.7569 | − | 10.1027i | 0.918115 | − | 0.334167i | ||||
\(915\) | 6.44521 | − | 36.5526i | 0.213072 | − | 1.20839i | ||||
\(916\) | 17.5175 | − | 14.6989i | 0.578794 | − | 0.485666i | ||||
\(917\) | −0.371797 | − | 0.311974i | −0.0122778 | − | 0.0103023i | ||||
\(918\) | −19.3465 | − | 109.719i | −0.638528 | − | 3.62127i | ||||
\(919\) | −14.3060 | − | 24.7787i | −0.471911 | − | 0.817374i | 0.527573 | − | 0.849510i | \(-0.323102\pi\) |
−0.999483 | + | 0.0321362i | \(0.989769\pi\) | |||||||
\(920\) | 2.24033 | − | 3.88037i | 0.0738615 | − | 0.127932i | ||||
\(921\) | 31.5555 | + | 11.4853i | 1.03979 | + | 0.378452i | ||||
\(922\) | 28.6168 | + | 10.4157i | 0.942445 | + | 0.343022i | ||||
\(923\) | −10.2327 | + | 17.7235i | −0.336812 | + | 0.583375i | ||||
\(924\) | −0.0812844 | − | 0.140789i | −0.00267406 | − | 0.00463161i | ||||
\(925\) | −0.0675720 | − | 0.383220i | −0.00222176 | − | 0.0126002i | ||||
\(926\) | −29.7699 | − | 24.9799i | −0.978301 | − | 0.820892i | ||||
\(927\) | 19.8859 | − | 16.6862i | 0.653139 | − | 0.548048i | ||||
\(928\) | −1.31148 | + | 7.43775i | −0.0430513 | + | 0.244156i | ||||
\(929\) | −3.68171 | + | 1.34003i | −0.120793 | + | 0.0439650i | −0.401709 | − | 0.915767i | \(-0.631584\pi\) |
0.280917 | + | 0.959732i | \(0.409362\pi\) | |||||||
\(930\) | 14.3422 | 0.470300 | ||||||||
\(931\) | 29.3479 | + | 8.33980i | 0.961840 | + | 0.273326i | ||||
\(932\) | −10.5766 | −0.346448 | ||||||||
\(933\) | −44.3196 | + | 16.1310i | −1.45096 | + | 0.528106i | ||||
\(934\) | −4.97123 | + | 28.1933i | −0.162664 | + | 0.922512i | ||||
\(935\) | −13.2087 | + | 11.0834i | −0.431969 | + | 0.362465i | ||||
\(936\) | 8.94382 | + | 7.50475i | 0.292338 | + | 0.245300i | ||||
\(937\) | −7.63564 | − | 43.3039i | −0.249446 | − | 1.41468i | −0.809937 | − | 0.586516i | \(-0.800499\pi\) |
0.560492 | − | 0.828160i | \(-0.310612\pi\) | |||||||
\(938\) | −0.0451162 | − | 0.0781435i | −0.00147310 | − | 0.00255148i | ||||
\(939\) | −34.5347 | + | 59.8159i | −1.12700 | + | 1.95202i | ||||
\(940\) | −4.01711 | − | 1.46211i | −0.131024 | − | 0.0476887i | ||||
\(941\) | 5.71790 | + | 2.08115i | 0.186398 | + | 0.0678434i | 0.433533 | − | 0.901138i | \(-0.357267\pi\) |
−0.247135 | + | 0.968981i | \(0.579489\pi\) | |||||||
\(942\) | −4.35469 | + | 7.54254i | −0.141883 | + | 0.245749i | ||||
\(943\) | −12.5522 | − | 21.7410i | −0.408755 | − | 0.707985i | ||||
\(944\) | −0.630930 | − | 3.57818i | −0.0205350 | − | 0.116460i | ||||
\(945\) | 0.250221 | + | 0.209960i | 0.00813969 | + | 0.00683001i | ||||
\(946\) | −16.0622 | + | 13.4778i | −0.522226 | + | 0.438199i | ||||
\(947\) | −1.60281 | + | 9.09001i | −0.0520845 | + | 0.295386i | −0.999712 | − | 0.0239914i | \(-0.992363\pi\) |
0.947628 | + | 0.319377i | \(0.103474\pi\) | |||||||
\(948\) | −28.7427 | + | 10.4615i | −0.933520 | + | 0.339774i | ||||
\(949\) | 3.02408 | 0.0981657 | ||||||||
\(950\) | −3.12831 | + | 3.03540i | −0.101496 | + | 0.0984815i | ||||
\(951\) | −38.0000 | −1.23223 | ||||||||
\(952\) | 0.175427 | − | 0.0638504i | 0.00568564 | − | 0.00206940i | ||||
\(953\) | −5.36804 | + | 30.4437i | −0.173888 | + | 0.986167i | 0.765532 | + | 0.643398i | \(0.222476\pi\) |
−0.939420 | + | 0.342769i | \(0.888635\pi\) | |||||||
\(954\) | 21.2709 | − | 17.8484i | 0.688671 | − | 0.577863i | ||||
\(955\) | 14.4491 | + | 12.1243i | 0.467563 | + | 0.392332i | ||||
\(956\) | 3.01327 | + | 17.0891i | 0.0974560 | + | 0.552701i | ||||
\(957\) | 26.2405 | + | 45.4499i | 0.848235 | + | 1.46919i | ||||
\(958\) | −8.34737 | + | 14.4581i | −0.269691 | + | 0.467119i | ||||
\(959\) | 0.131209 | + | 0.0477561i | 0.00423695 | + | 0.00154212i | ||||
\(960\) | 3.02190 | + | 1.09988i | 0.0975314 | + | 0.0354985i | ||||
\(961\) | 5.55479 | − | 9.62118i | 0.179187 | − | 0.310360i | ||||
\(962\) | 0.309417 | + | 0.535926i | 0.00997601 | + | 0.0172790i | ||||
\(963\) | 7.12981 | + | 40.4352i | 0.229755 | + | 1.30300i | ||||
\(964\) | −0.367629 | − | 0.308477i | −0.0118405 | − | 0.00993538i | ||||
\(965\) | −13.6314 | + | 11.4381i | −0.438810 | + | 0.368206i | ||||
\(966\) | −0.0585372 | + | 0.331981i | −0.00188340 | + | 0.0106813i | ||||
\(967\) | 23.8796 | − | 8.69145i | 0.767915 | − | 0.279498i | 0.0717907 | − | 0.997420i | \(-0.477129\pi\) |
0.696124 | + | 0.717922i | \(0.254906\pi\) | |||||||
\(968\) | 6.33087 | 0.203482 | ||||||||
\(969\) | −102.076 | + | 45.7390i | −3.27917 | + | 1.46935i | ||||
\(970\) | −11.1539 | −0.358130 | ||||||||
\(971\) | 50.9775 | − | 18.5543i | 1.63595 | − | 0.595436i | 0.649623 | − | 0.760256i | \(-0.274927\pi\) |
0.986324 | + | 0.164820i | \(0.0527044\pi\) | |||||||
\(972\) | −5.50023 | + | 31.1934i | −0.176420 | + | 1.00053i | ||||
\(973\) | 0.252358 | − | 0.211754i | 0.00809024 | − | 0.00678852i | ||||
\(974\) | −14.8485 | − | 12.4593i | −0.475776 | − | 0.399223i | ||||
\(975\) | 0.888059 | + | 5.03643i | 0.0284407 | + | 0.161295i | ||||
\(976\) | 5.77089 | + | 9.99547i | 0.184722 | + | 0.319947i | ||||
\(977\) | −19.6132 | + | 33.9710i | −0.627481 | + | 1.08683i | 0.360574 | + | 0.932731i | \(0.382581\pi\) |
−0.988055 | + | 0.154099i | \(0.950753\pi\) | |||||||
\(978\) | −41.6907 | − | 15.1742i | −1.33312 | − | 0.485217i | ||||
\(979\) | −18.0210 | − | 6.55912i | −0.575955 | − | 0.209630i | ||||
\(980\) | 3.49973 | − | 6.06170i | 0.111795 | − | 0.193634i | ||||
\(981\) | −34.5944 | − | 59.9193i | −1.10452 | − | 1.91308i | ||||
\(982\) | −6.30923 | − | 35.7814i | −0.201336 | − | 1.14183i | ||||
\(983\) | −3.62947 | − | 3.04549i | −0.115762 | − | 0.0971359i | 0.583069 | − | 0.812423i | \(-0.301852\pi\) |
−0.698831 | + | 0.715287i | \(0.746296\pi\) | |||||||
\(984\) | 13.8024 | − | 11.5816i | 0.440005 | − | 0.369208i | ||||
\(985\) | 2.34648 | − | 13.3076i | 0.0747651 | − | 0.424014i | ||||
\(986\) | −56.6321 | + | 20.6124i | −1.80353 | + | 0.656432i | ||||
\(987\) | 0.321623 | 0.0102374 | ||||||||
\(988\) | 3.02391 | − | 6.23760i | 0.0962035 | − | 0.198444i | ||||
\(989\) | 43.4785 | 1.38253 | ||||||||
\(990\) | 14.9072 | − | 5.42576i | 0.473781 | − | 0.172442i | ||||
\(991\) | −4.17962 | + | 23.7038i | −0.132770 | + | 0.752976i | 0.843617 | + | 0.536946i | \(0.180422\pi\) |
−0.976387 | + | 0.216030i | \(0.930689\pi\) | |||||||
\(992\) | −3.41646 | + | 2.86675i | −0.108473 | + | 0.0910193i | ||||
\(993\) | −43.7549 | − | 36.7147i | −1.38852 | − | 1.16511i | ||||
\(994\) | −0.0522800 | − | 0.296495i | −0.00165822 | − | 0.00940425i | ||||
\(995\) | −3.50807 | − | 6.07615i | −0.111213 | − | 0.192627i | ||||
\(996\) | −4.22617 | + | 7.31994i | −0.133911 | + | 0.231941i | ||||
\(997\) | −13.3716 | − | 4.86686i | −0.423483 | − | 0.154135i | 0.121483 | − | 0.992594i | \(-0.461235\pi\) |
−0.544966 | + | 0.838458i | \(0.683457\pi\) | |||||||
\(998\) | −7.29367 | − | 2.65468i | −0.230877 | − | 0.0840323i | ||||
\(999\) | −2.71651 | + | 4.70514i | −0.0859466 | + | 0.148864i |
(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 | 190.2.k.d.81.1 | yes | 18 | |
5.2 | odd | 4 | 950.2.u.g.499.6 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.499.1 | 36 | |||
5.4 | even | 2 | 950.2.l.i.651.3 | 18 | |||
19.2 | odd | 18 | 3610.2.a.bj.1.9 | 9 | |||
19.4 | even | 9 | inner | 190.2.k.d.61.1 | ✓ | 18 | |
19.17 | even | 9 | 3610.2.a.bi.1.1 | 9 | |||
95.4 | even | 18 | 950.2.l.i.251.3 | 18 | |||
95.23 | odd | 36 | 950.2.u.g.99.6 | 36 | |||
95.42 | odd | 36 | 950.2.u.g.99.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.61.1 | ✓ | 18 | 19.4 | even | 9 | inner | |
190.2.k.d.81.1 | yes | 18 | 1.1 | even | 1 | trivial | |
950.2.l.i.251.3 | 18 | 95.4 | even | 18 | |||
950.2.l.i.651.3 | 18 | 5.4 | even | 2 | |||
950.2.u.g.99.1 | 36 | 95.42 | odd | 36 | |||
950.2.u.g.99.6 | 36 | 95.23 | odd | 36 | |||
950.2.u.g.499.1 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.499.6 | 36 | 5.2 | odd | 4 | |||
3610.2.a.bi.1.1 | 9 | 19.17 | even | 9 | |||
3610.2.a.bj.1.9 | 9 | 19.2 | odd | 18 |