Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.3 | ||
Character | \(\chi\) | \(=\) | 150.47 |
Dual form | 150.2.l.a.83.3 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | 1.00736 | + | 1.40898i | 0.581599 | + | 0.813476i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −0.998457 | + | 2.00077i | −0.446524 | + | 0.894772i | ||||
\(6\) | 0.798080 | − | 1.53723i | 0.325815 | − | 0.627570i | ||||
\(7\) | 0.712495 | + | 0.712495i | 0.269298 | + | 0.269298i | 0.828817 | − | 0.559519i | \(-0.189014\pi\) |
−0.559519 | + | 0.828817i | \(0.689014\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | −0.970457 | + | 2.83870i | −0.323486 | + | 0.946233i | ||||
\(10\) | 2.23599 | − | 0.0186987i | 0.707082 | − | 0.00591305i | ||||
\(11\) | −0.348148 | − | 0.113120i | −0.104971 | − | 0.0341070i | 0.256061 | − | 0.966661i | \(-0.417575\pi\) |
−0.361031 | + | 0.932554i | \(0.617575\pi\) | |||||||
\(12\) | −1.73200 | − | 0.0132082i | −0.499985 | − | 0.00381289i | ||||
\(13\) | 2.33563 | + | 1.19006i | 0.647787 | + | 0.330064i | 0.746826 | − | 0.665020i | \(-0.231577\pi\) |
−0.0990392 | + | 0.995084i | \(0.531577\pi\) | |||||||
\(14\) | 0.311372 | − | 0.958303i | 0.0832176 | − | 0.256117i | ||||
\(15\) | −3.82485 | + | 0.608686i | −0.987573 | + | 0.157162i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 0.919013 | − | 5.80242i | 0.222893 | − | 1.40729i | −0.581669 | − | 0.813426i | \(-0.697600\pi\) |
0.804562 | − | 0.593868i | \(-0.202400\pi\) | |||||||
\(18\) | 2.96988 | − | 0.424059i | 0.700007 | − | 0.0999516i | ||||
\(19\) | 0.341785 | + | 0.470426i | 0.0784108 | + | 0.107923i | 0.846421 | − | 0.532515i | \(-0.178753\pi\) |
−0.768010 | + | 0.640438i | \(0.778753\pi\) | |||||||
\(20\) | −1.03178 | − | 1.98379i | −0.230713 | − | 0.443589i | ||||
\(21\) | −0.286154 | + | 1.72163i | −0.0624439 | + | 0.375690i | ||||
\(22\) | 0.0572652 | + | 0.361558i | 0.0122090 | + | 0.0770844i | ||||
\(23\) | 6.05243 | − | 3.08387i | 1.26202 | − | 0.643031i | 0.310486 | − | 0.950578i | \(-0.399508\pi\) |
0.951533 | + | 0.307548i | \(0.0995083\pi\) | |||||||
\(24\) | 0.774543 | + | 1.54922i | 0.158103 | + | 0.316233i | ||||
\(25\) | −3.00617 | − | 3.99537i | −0.601233 | − | 0.799074i | ||||
\(26\) | − | 2.62134i | − | 0.514086i | ||||||
\(27\) | −4.97727 | + | 1.49223i | −0.957877 | + | 0.287180i | ||||
\(28\) | −0.995214 | + | 0.157626i | −0.188078 | + | 0.0297886i | ||||
\(29\) | 0.368253 | + | 0.267552i | 0.0683830 | + | 0.0496831i | 0.621452 | − | 0.783453i | \(-0.286543\pi\) |
−0.553069 | + | 0.833136i | \(0.686543\pi\) | |||||||
\(30\) | 2.27879 | + | 3.13163i | 0.416048 | + | 0.571755i | ||||
\(31\) | −2.36811 | + | 1.72054i | −0.425326 | + | 0.309017i | −0.779777 | − | 0.626057i | \(-0.784668\pi\) |
0.354451 | + | 0.935074i | \(0.384668\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −0.191326 | − | 0.604487i | −0.0333056 | − | 0.105228i | ||||
\(34\) | −5.58722 | + | 1.81540i | −0.958200 | + | 0.311338i | ||||
\(35\) | −2.13693 | + | 0.714143i | −0.361208 | + | 0.120712i | ||||
\(36\) | −1.72614 | − | 2.45366i | −0.287689 | − | 0.408944i | ||||
\(37\) | 4.35053 | − | 8.53839i | 0.715222 | − | 1.40370i | −0.191295 | − | 0.981533i | \(-0.561269\pi\) |
0.906517 | − | 0.422169i | \(-0.138731\pi\) | |||||||
\(38\) | 0.263986 | − | 0.518102i | 0.0428242 | − | 0.0840472i | ||||
\(39\) | 0.676040 | + | 4.48967i | 0.108253 | + | 0.718923i | ||||
\(40\) | −1.29915 | + | 1.81994i | −0.205414 | + | 0.287759i | ||||
\(41\) | −10.0917 | + | 3.27898i | −1.57605 | + | 0.512090i | −0.961036 | − | 0.276425i | \(-0.910850\pi\) |
−0.615016 | + | 0.788515i | \(0.710850\pi\) | |||||||
\(42\) | 1.66389 | − | 0.526638i | 0.256745 | − | 0.0812621i | ||||
\(43\) | −7.18512 | + | 7.18512i | −1.09572 | + | 1.09572i | −0.100815 | + | 0.994905i | \(0.532145\pi\) |
−0.994905 | + | 0.100815i | \(0.967855\pi\) | |||||||
\(44\) | 0.296153 | − | 0.215168i | 0.0446467 | − | 0.0324377i | ||||
\(45\) | −4.71063 | − | 4.77598i | −0.702219 | − | 0.711961i | ||||
\(46\) | −5.49549 | − | 3.99271i | −0.810266 | − | 0.588693i | ||||
\(47\) | 8.16222 | − | 1.29277i | 1.19058 | − | 0.188570i | 0.470463 | − | 0.882420i | \(-0.344087\pi\) |
0.720119 | + | 0.693850i | \(0.244087\pi\) | |||||||
\(48\) | 1.02873 | − | 1.39345i | 0.148484 | − | 0.201128i | ||||
\(49\) | − | 5.98470i | − | 0.854957i | ||||||
\(50\) | −2.19513 | + | 4.49237i | −0.310438 | + | 0.635317i | ||||
\(51\) | 9.10128 | − | 4.55025i | 1.27443 | − | 0.637162i | ||||
\(52\) | −2.33563 | + | 1.19006i | −0.323893 | + | 0.165032i | ||||
\(53\) | −1.38217 | − | 8.72670i | −0.189856 | − | 1.19870i | −0.879979 | − | 0.475012i | \(-0.842444\pi\) |
0.690123 | − | 0.723692i | \(-0.257556\pi\) | |||||||
\(54\) | 3.58922 | + | 3.75732i | 0.488431 | + | 0.511307i | ||||
\(55\) | 0.573939 | − | 0.583619i | 0.0773899 | − | 0.0786952i | ||||
\(56\) | 0.592264 | + | 0.815182i | 0.0791446 | + | 0.108933i | ||||
\(57\) | −0.318522 | + | 0.955457i | −0.0421893 | + | 0.126553i | ||||
\(58\) | 0.0712068 | − | 0.449582i | 0.00934992 | − | 0.0590330i | ||||
\(59\) | 2.91096 | + | 8.95903i | 0.378975 | + | 1.16637i | 0.940757 | + | 0.339081i | \(0.110116\pi\) |
−0.561782 | + | 0.827285i | \(0.689884\pi\) | |||||||
\(60\) | 1.75576 | − | 3.45215i | 0.226667 | − | 0.445670i | ||||
\(61\) | −0.335312 | + | 1.03198i | −0.0429323 | + | 0.132132i | −0.970225 | − | 0.242205i | \(-0.922130\pi\) |
0.927293 | + | 0.374337i | \(0.122130\pi\) | |||||||
\(62\) | 2.60811 | + | 1.32890i | 0.331230 | + | 0.168770i | ||||
\(63\) | −2.71400 | + | 1.33111i | −0.341932 | + | 0.167704i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | −4.71307 | + | 3.48483i | −0.584584 | + | 0.432240i | ||||
\(66\) | −0.451742 | + | 0.444904i | −0.0556056 | + | 0.0547639i | ||||
\(67\) | 13.0896 | + | 2.07319i | 1.59915 | + | 0.253280i | 0.891411 | − | 0.453196i | \(-0.149716\pi\) |
0.707737 | + | 0.706476i | \(0.249716\pi\) | |||||||
\(68\) | 4.15407 | + | 4.15407i | 0.503756 | + | 0.503756i | ||||
\(69\) | 10.4421 | + | 5.42120i | 1.25708 | + | 0.652636i | ||||
\(70\) | 1.60645 | + | 1.57981i | 0.192008 | + | 0.188823i | ||||
\(71\) | 0.755873 | − | 1.04037i | 0.0897056 | − | 0.123469i | −0.761805 | − | 0.647806i | \(-0.775687\pi\) |
0.851511 | + | 0.524337i | \(0.175687\pi\) | |||||||
\(72\) | −1.40258 | + | 2.65194i | −0.165296 | + | 0.312534i | ||||
\(73\) | 4.33350 | + | 8.50497i | 0.507198 | + | 0.995432i | 0.992633 | + | 0.121159i | \(0.0386612\pi\) |
−0.485435 | + | 0.874273i | \(0.661339\pi\) | |||||||
\(74\) | −9.58285 | −1.11398 | ||||||||
\(75\) | 2.60111 | − | 8.26040i | 0.300351 | − | 0.953829i | ||||
\(76\) | −0.581479 | −0.0667002 | ||||||||
\(77\) | −0.167456 | − | 0.328652i | −0.0190834 | − | 0.0374533i | ||||
\(78\) | 3.69341 | − | 2.64063i | 0.418197 | − | 0.298992i | ||||
\(79\) | 7.17322 | − | 9.87309i | 0.807050 | − | 1.11081i | −0.184722 | − | 0.982791i | \(-0.559138\pi\) |
0.991772 | − | 0.128018i | \(-0.0408616\pi\) | |||||||
\(80\) | 2.21139 | + | 0.331317i | 0.247240 | + | 0.0370424i | ||||
\(81\) | −7.11643 | − | 5.50967i | −0.790714 | − | 0.612186i | ||||
\(82\) | 7.50310 | + | 7.50310i | 0.828579 | + | 0.828579i | ||||
\(83\) | −0.937190 | − | 0.148436i | −0.102870 | − | 0.0162930i | 0.104787 | − | 0.994495i | \(-0.466584\pi\) |
−0.207657 | + | 0.978202i | \(0.566584\pi\) | |||||||
\(84\) | −1.22463 | − | 1.24345i | −0.133618 | − | 0.135672i | ||||
\(85\) | 10.6917 | + | 7.63220i | 1.15968 | + | 0.827829i | ||||
\(86\) | 9.66396 | + | 3.14001i | 1.04209 | + | 0.338596i | ||||
\(87\) | −0.00601220 | + | 0.788383i | −0.000644576 | + | 0.0845235i | ||||
\(88\) | −0.326166 | − | 0.166190i | −0.0347694 | − | 0.0177159i | ||||
\(89\) | 0.626378 | − | 1.92779i | 0.0663960 | − | 0.204346i | −0.912354 | − | 0.409401i | \(-0.865738\pi\) |
0.978750 | + | 0.205056i | \(0.0657375\pi\) | |||||||
\(90\) | −2.11685 | + | 6.36545i | −0.223136 | + | 0.670977i | ||||
\(91\) | 0.816210 | + | 2.51204i | 0.0855620 | + | 0.263333i | ||||
\(92\) | −1.06263 | + | 6.70917i | −0.110787 | + | 0.699479i | ||||
\(93\) | −4.80974 | − | 1.60343i | −0.498747 | − | 0.166268i | ||||
\(94\) | −4.85743 | − | 6.68568i | −0.501006 | − | 0.689576i | ||||
\(95\) | −1.28247 | + | 0.214132i | −0.131579 | + | 0.0219695i | ||||
\(96\) | −1.70861 | − | 0.283990i | −0.174384 | − | 0.0289846i | ||||
\(97\) | −2.81727 | − | 17.7876i | −0.286051 | − | 1.80605i | −0.543115 | − | 0.839658i | \(-0.682755\pi\) |
0.257065 | − | 0.966394i | \(-0.417245\pi\) | |||||||
\(98\) | −5.33241 | + | 2.71700i | −0.538655 | + | 0.274458i | ||||
\(99\) | 0.658978 | − | 0.878510i | 0.0662297 | − | 0.0882936i | ||||
\(100\) | 4.99930 | − | 0.0836202i | 0.499930 | − | 0.00836202i | ||||
\(101\) | 0.362340i | 0.0360542i | 0.999837 | + | 0.0180271i | \(0.00573851\pi\) | ||||
−0.999837 | + | 0.0180271i | \(0.994261\pi\) | |||||||
\(102\) | −8.18619 | − | 6.04353i | −0.810554 | − | 0.598399i | ||||
\(103\) | −7.83651 | + | 1.24118i | −0.772154 | + | 0.122297i | −0.530065 | − | 0.847957i | \(-0.677833\pi\) |
−0.242089 | + | 0.970254i | \(0.577833\pi\) | |||||||
\(104\) | 2.12071 | + | 1.54078i | 0.207952 | + | 0.151086i | ||||
\(105\) | −3.15887 | − | 2.29150i | −0.308274 | − | 0.223628i | ||||
\(106\) | −7.14805 | + | 5.19336i | −0.694280 | + | 0.504424i | ||||
\(107\) | −9.06892 | + | 9.06892i | −0.876725 | + | 0.876725i | −0.993194 | − | 0.116469i | \(-0.962842\pi\) |
0.116469 | + | 0.993194i | \(0.462842\pi\) | |||||||
\(108\) | 1.71833 | − | 4.90381i | 0.165346 | − | 0.471869i | ||||
\(109\) | −4.33696 | + | 1.40916i | −0.415405 | + | 0.134973i | −0.509260 | − | 0.860613i | \(-0.670081\pi\) |
0.0938551 | + | 0.995586i | \(0.470081\pi\) | |||||||
\(110\) | −0.780572 | − | 0.246426i | −0.0744246 | − | 0.0234958i | ||||
\(111\) | 16.4130 | − | 2.47141i | 1.55785 | − | 0.234576i | ||||
\(112\) | 0.457450 | − | 0.897796i | 0.0432249 | − | 0.0848337i | ||||
\(113\) | −6.17652 | + | 12.1221i | −0.581038 | + | 1.14035i | 0.394166 | + | 0.919039i | \(0.371034\pi\) |
−0.975203 | + | 0.221311i | \(0.928966\pi\) | |||||||
\(114\) | 0.995924 | − | 0.149963i | 0.0932768 | − | 0.0140453i | ||||
\(115\) | 0.127017 | + | 15.1886i | 0.0118444 | + | 1.41635i | ||||
\(116\) | −0.432908 | + | 0.140660i | −0.0401945 | + | 0.0130600i | ||||
\(117\) | −5.64485 | + | 5.47524i | −0.521867 | + | 0.506186i | ||||
\(118\) | 6.66100 | − | 6.66100i | 0.613195 | − | 0.613195i | ||||
\(119\) | 4.78899 | − | 3.47940i | 0.439006 | − | 0.318956i | ||||
\(120\) | −3.87298 | + | 0.00285272i | −0.353553 | + | 0.000260416i | ||||
\(121\) | −8.79078 | − | 6.38687i | −0.799161 | − | 0.580625i | ||||
\(122\) | 1.07173 | − | 0.169746i | 0.0970301 | − | 0.0153681i | ||||
\(123\) | −14.7859 | − | 10.9158i | −1.33320 | − | 0.984249i | ||||
\(124\) | − | 2.92715i | − | 0.262866i | ||||||
\(125\) | 10.9953 | − | 2.02544i | 0.983453 | − | 0.181161i | ||||
\(126\) | 2.41816 | + | 1.81388i | 0.215427 | + | 0.161594i | ||||
\(127\) | −17.5736 | + | 8.95420i | −1.55941 | + | 0.794557i | −0.999424 | − | 0.0339477i | \(-0.989192\pi\) |
−0.559982 | + | 0.828505i | \(0.689192\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −17.3617 | − | 2.88571i | −1.52861 | − | 0.254072i | ||||
\(130\) | 5.24469 | + | 2.61729i | 0.459990 | + | 0.229552i | ||||
\(131\) | 6.37019 | + | 8.76782i | 0.556566 | + | 0.766048i | 0.990885 | − | 0.134711i | \(-0.0430107\pi\) |
−0.434318 | + | 0.900759i | \(0.643011\pi\) | |||||||
\(132\) | 0.601499 | + | 0.200523i | 0.0523538 | + | 0.0174533i | ||||
\(133\) | −0.0916565 | + | 0.578696i | −0.00794763 | + | 0.0501793i | ||||
\(134\) | −4.09532 | − | 12.6041i | −0.353782 | − | 1.08883i | ||||
\(135\) | 1.98398 | − | 11.4483i | 0.170754 | − | 0.985314i | ||||
\(136\) | 1.81540 | − | 5.58722i | 0.155669 | − | 0.479100i | ||||
\(137\) | −7.75294 | − | 3.95032i | −0.662378 | − | 0.337498i | 0.0902740 | − | 0.995917i | \(-0.471226\pi\) |
−0.752652 | + | 0.658419i | \(0.771226\pi\) | |||||||
\(138\) | 0.0897208 | − | 11.7651i | 0.00763754 | − | 1.00151i | ||||
\(139\) | −2.91069 | − | 0.945741i | −0.246882 | − | 0.0802167i | 0.182962 | − | 0.983120i | \(-0.441431\pi\) |
−0.429844 | + | 0.902903i | \(0.641431\pi\) | |||||||
\(140\) | 0.678305 | − | 2.14858i | 0.0573272 | − | 0.181588i | ||||
\(141\) | 10.0438 | + | 10.1981i | 0.845838 | + | 0.858838i | ||||
\(142\) | −1.27013 | − | 0.201170i | −0.106587 | − | 0.0168818i | ||||
\(143\) | −0.678525 | − | 0.678525i | −0.0567411 | − | 0.0567411i | ||||
\(144\) | 2.99965 | + | 0.0457533i | 0.249971 | + | 0.00381278i | ||||
\(145\) | −0.902995 | + | 0.469652i | −0.0749897 | + | 0.0390024i | ||||
\(146\) | 5.61062 | − | 7.72236i | 0.464338 | − | 0.639107i | ||||
\(147\) | 8.43233 | − | 6.02874i | 0.695487 | − | 0.497242i | ||||
\(148\) | 4.35053 | + | 8.53839i | 0.357611 | + | 0.701851i | ||||
\(149\) | 5.85789 | 0.479897 | 0.239948 | − | 0.970786i | \(-0.422869\pi\) | ||||
0.239948 | + | 0.970786i | \(0.422869\pi\) | |||||||
\(150\) | −8.54095 | + | 1.43253i | −0.697366 | + | 0.116966i | ||||
\(151\) | 3.64976 | 0.297013 | 0.148507 | − | 0.988911i | \(-0.452553\pi\) | ||||
0.148507 | + | 0.988911i | \(0.452553\pi\) | |||||||
\(152\) | 0.263986 | + | 0.518102i | 0.0214121 | + | 0.0420236i | ||||
\(153\) | 15.5795 | + | 8.23980i | 1.25952 | + | 0.666149i | ||||
\(154\) | −0.216807 | + | 0.298409i | −0.0174708 | + | 0.0240465i | ||||
\(155\) | −1.07794 | − | 6.45593i | −0.0865819 | − | 0.518553i | ||||
\(156\) | −4.02959 | − | 2.09204i | −0.322625 | − | 0.167497i | ||||
\(157\) | 2.27502 | + | 2.27502i | 0.181567 | + | 0.181567i | 0.792038 | − | 0.610472i | \(-0.209020\pi\) |
−0.610472 | + | 0.792038i | \(0.709020\pi\) | |||||||
\(158\) | −12.0536 | − | 1.90910i | −0.958930 | − | 0.151880i | ||||
\(159\) | 10.9034 | − | 10.7384i | 0.864697 | − | 0.851608i | ||||
\(160\) | −0.708742 | − | 2.12077i | −0.0560310 | − | 0.167662i | ||||
\(161\) | 6.50956 | + | 2.11508i | 0.513025 | + | 0.166692i | ||||
\(162\) | −1.67836 | + | 8.84212i | −0.131865 | + | 0.694703i | ||||
\(163\) | −3.29567 | − | 1.67923i | −0.258137 | − | 0.131527i | 0.320134 | − | 0.947372i | \(-0.396272\pi\) |
−0.578270 | + | 0.815845i | \(0.696272\pi\) | |||||||
\(164\) | 3.27898 | − | 10.0917i | 0.256045 | − | 0.788026i | ||||
\(165\) | 1.40047 | + | 0.220756i | 0.109027 | + | 0.0171858i | ||||
\(166\) | 0.293218 | + | 0.902431i | 0.0227581 | + | 0.0700422i | ||||
\(167\) | −1.42932 | + | 9.02439i | −0.110604 | + | 0.698328i | 0.868610 | + | 0.495497i | \(0.165014\pi\) |
−0.979214 | + | 0.202831i | \(0.934986\pi\) | |||||||
\(168\) | −0.551953 | + | 1.65567i | −0.0425841 | + | 0.127738i | ||||
\(169\) | −3.60230 | − | 4.95814i | −0.277100 | − | 0.381395i | ||||
\(170\) | 1.94641 | − | 12.9913i | 0.149283 | − | 0.996390i | ||||
\(171\) | −1.66709 | + | 0.513696i | −0.127485 | + | 0.0392833i | ||||
\(172\) | −1.58958 | − | 10.0362i | −0.121204 | − | 0.765252i | ||||
\(173\) | 8.21156 | − | 4.18400i | 0.624313 | − | 0.318104i | −0.113061 | − | 0.993588i | \(-0.536065\pi\) |
0.737374 | + | 0.675485i | \(0.236065\pi\) | |||||||
\(174\) | 0.705184 | − | 0.352561i | 0.0534598 | − | 0.0267276i | ||||
\(175\) | 0.704802 | − | 4.98856i | 0.0532780 | − | 0.377099i | ||||
\(176\) | 0.366065i | 0.0275932i | ||||||||
\(177\) | −9.69072 | + | 13.1264i | −0.728399 | + | 0.986644i | ||||
\(178\) | −2.00205 | + | 0.317093i | −0.150060 | + | 0.0237671i | ||||
\(179\) | −10.9316 | − | 7.94230i | −0.817069 | − | 0.593635i | 0.0988026 | − | 0.995107i | \(-0.468499\pi\) |
−0.915871 | + | 0.401472i | \(0.868499\pi\) | |||||||
\(180\) | 6.63269 | − | 1.00372i | 0.494371 | − | 0.0748132i | ||||
\(181\) | −13.0973 | + | 9.51573i | −0.973514 | + | 0.707299i | −0.956250 | − | 0.292552i | \(-0.905496\pi\) |
−0.0172639 | + | 0.999851i | \(0.505496\pi\) | |||||||
\(182\) | 1.86769 | − | 1.86769i | 0.138442 | − | 0.138442i | ||||
\(183\) | −1.79183 | + | 0.567130i | −0.132456 | + | 0.0419234i | ||||
\(184\) | 6.46034 | − | 2.09909i | 0.476262 | − | 0.154747i | ||||
\(185\) | 12.7395 | + | 17.2296i | 0.936629 | + | 1.26675i | ||||
\(186\) | 0.754909 | + | 5.01346i | 0.0553526 | + | 0.367604i | ||||
\(187\) | −0.976324 | + | 1.91614i | −0.0713959 | + | 0.140122i | ||||
\(188\) | −3.75176 | + | 7.36324i | −0.273625 | + | 0.537020i | ||||
\(189\) | −4.60949 | − | 2.48307i | −0.335291 | − | 0.180617i | ||||
\(190\) | 0.773024 | + | 1.04548i | 0.0560810 | + | 0.0758469i | ||||
\(191\) | −14.6868 | + | 4.77202i | −1.06270 | + | 0.345291i | −0.787639 | − | 0.616136i | \(-0.788697\pi\) |
−0.275058 | + | 0.961428i | \(0.588697\pi\) | |||||||
\(192\) | 0.522656 | + | 1.65131i | 0.0377194 | + | 0.119173i | ||||
\(193\) | 6.05387 | − | 6.05387i | 0.435767 | − | 0.435767i | −0.454817 | − | 0.890585i | \(-0.650296\pi\) |
0.890585 | + | 0.454817i | \(0.150296\pi\) | |||||||
\(194\) | −14.5698 | + | 10.5856i | −1.04605 | + | 0.760001i | ||||
\(195\) | −9.65781 | − | 3.13015i | −0.691610 | − | 0.224155i | ||||
\(196\) | 4.84173 | + | 3.51772i | 0.345838 | + | 0.251266i | ||||
\(197\) | 6.25646 | − | 0.990925i | 0.445754 | − | 0.0706005i | 0.0704774 | − | 0.997513i | \(-0.477548\pi\) |
0.375277 | + | 0.926913i | \(0.377548\pi\) | |||||||
\(198\) | −1.08193 | − | 0.188318i | −0.0768893 | − | 0.0133832i | ||||
\(199\) | 10.3976i | 0.737069i | 0.929614 | + | 0.368535i | \(0.120140\pi\) | ||||
−0.929614 | + | 0.368535i | \(0.879860\pi\) | |||||||
\(200\) | −2.34414 | − | 4.41645i | −0.165756 | − | 0.312290i | ||||
\(201\) | 10.2648 | + | 20.5314i | 0.724025 | + | 1.44817i | ||||
\(202\) | 0.322847 | − | 0.164499i | 0.0227155 | − | 0.0115741i | ||||
\(203\) | 0.0717494 | + | 0.453008i | 0.00503582 | + | 0.0317949i | ||||
\(204\) | −1.66837 | + | 10.0377i | −0.116809 | + | 0.702777i | ||||
\(205\) | 3.51561 | − | 23.4650i | 0.245541 | − | 1.63887i | ||||
\(206\) | 4.66360 | + | 6.41889i | 0.324928 | + | 0.447225i | ||||
\(207\) | 2.88055 | + | 20.1738i | 0.200212 | + | 1.40217i | ||||
\(208\) | 0.410067 | − | 2.58906i | 0.0284331 | − | 0.179519i | ||||
\(209\) | −0.0657771 | − | 0.202441i | −0.00454990 | − | 0.0140031i | ||||
\(210\) | −0.607645 | + | 3.85490i | −0.0419315 | + | 0.266013i | ||||
\(211\) | 1.12958 | − | 3.47648i | 0.0777632 | − | 0.239331i | −0.904617 | − | 0.426226i | \(-0.859843\pi\) |
0.982380 | + | 0.186896i | \(0.0598427\pi\) | |||||||
\(212\) | 7.87247 | + | 4.01122i | 0.540683 | + | 0.275492i | ||||
\(213\) | 2.22730 | + | 0.0169853i | 0.152612 | + | 0.00116382i | ||||
\(214\) | 12.1977 | + | 3.96326i | 0.833815 | + | 0.270923i | ||||
\(215\) | −7.20174 | − | 21.5498i | −0.491155 | − | 1.46968i | ||||
\(216\) | −5.14943 | + | 0.695243i | −0.350374 | + | 0.0473053i | ||||
\(217\) | −2.91314 | − | 0.461396i | −0.197757 | − | 0.0313216i | ||||
\(218\) | 3.22451 | + | 3.22451i | 0.218391 | + | 0.218391i | ||||
\(219\) | −7.61796 | + | 14.6734i | −0.514774 | + | 0.991535i | ||||
\(220\) | 0.134805 | + | 0.807369i | 0.00908855 | + | 0.0544328i | ||||
\(221\) | 9.05171 | − | 12.4586i | 0.608884 | − | 0.838057i | ||||
\(222\) | −9.65337 | − | 13.5021i | −0.647892 | − | 0.906199i | ||||
\(223\) | −0.959975 | − | 1.88406i | −0.0642847 | − | 0.126166i | 0.856628 | − | 0.515934i | \(-0.172555\pi\) |
−0.920913 | + | 0.389768i | \(0.872555\pi\) | |||||||
\(224\) | −1.00762 | −0.0673244 | ||||||||
\(225\) | 14.2590 | − | 4.65627i | 0.950600 | − | 0.310418i | ||||
\(226\) | 13.6049 | 0.904987 | ||||||||
\(227\) | −7.03137 | − | 13.7998i | −0.466689 | − | 0.915928i | −0.997649 | − | 0.0685314i | \(-0.978169\pi\) |
0.530960 | − | 0.847397i | \(-0.321831\pi\) | |||||||
\(228\) | −0.585758 | − | 0.819293i | −0.0387928 | − | 0.0542590i | ||||
\(229\) | −0.971347 | + | 1.33694i | −0.0641884 | + | 0.0883477i | −0.839904 | − | 0.542735i | \(-0.817389\pi\) |
0.775716 | + | 0.631082i | \(0.217389\pi\) | |||||||
\(230\) | 13.4755 | − | 7.00867i | 0.888548 | − | 0.462138i | ||||
\(231\) | 0.294375 | − | 0.567013i | 0.0193685 | − | 0.0373067i | ||||
\(232\) | 0.321865 | + | 0.321865i | 0.0211315 | + | 0.0211315i | ||||
\(233\) | −17.2497 | − | 2.73209i | −1.13007 | − | 0.178985i | −0.436726 | − | 0.899594i | \(-0.643862\pi\) |
−0.693342 | + | 0.720609i | \(0.743862\pi\) | |||||||
\(234\) | 7.44118 | + | 2.54389i | 0.486445 | + | 0.166300i | ||||
\(235\) | −5.56309 | + | 17.6215i | −0.362896 | + | 1.14950i | ||||
\(236\) | −8.95903 | − | 2.91096i | −0.583183 | − | 0.189488i | ||||
\(237\) | 21.1370 | + | 0.161191i | 1.37300 | + | 0.0104705i | ||||
\(238\) | −5.27432 | − | 2.68740i | −0.341884 | − | 0.174198i | ||||
\(239\) | −1.97435 | + | 6.07643i | −0.127710 | + | 0.393052i | −0.994385 | − | 0.105822i | \(-0.966253\pi\) |
0.866675 | + | 0.498873i | \(0.166253\pi\) | |||||||
\(240\) | 1.76084 | + | 3.44956i | 0.113662 | + | 0.222668i | ||||
\(241\) | 5.94510 | + | 18.2971i | 0.382958 | + | 1.17862i | 0.937951 | + | 0.346768i | \(0.112721\pi\) |
−0.554993 | + | 0.831855i | \(0.687279\pi\) | |||||||
\(242\) | −1.69982 | + | 10.7322i | −0.109268 | + | 0.689893i | ||||
\(243\) | 0.594232 | − | 15.5771i | 0.0381200 | − | 0.999273i | ||||
\(244\) | −0.637801 | − | 0.877858i | −0.0408310 | − | 0.0561991i | ||||
\(245\) | 11.9740 | + | 5.97547i | 0.764992 | + | 0.381759i | ||||
\(246\) | −3.01342 | + | 18.1300i | −0.192128 | + | 1.15593i | ||||
\(247\) | 0.238446 | + | 1.50549i | 0.0151719 | + | 0.0957918i | ||||
\(248\) | −2.60811 | + | 1.32890i | −0.165615 | + | 0.0843851i | ||||
\(249\) | −0.734942 | − | 1.47001i | −0.0465751 | − | 0.0931582i | ||||
\(250\) | −6.79646 | − | 8.87739i | −0.429846 | − | 0.561456i | ||||
\(251\) | − | 10.1849i | − | 0.642864i | −0.946933 | − | 0.321432i | \(-0.895836\pi\) | ||
0.946933 | − | 0.321432i | \(-0.104164\pi\) | |||||||
\(252\) | 0.518359 | − | 2.97808i | 0.0326535 | − | 0.187602i | ||||
\(253\) | −2.45599 | + | 0.388991i | −0.154407 | + | 0.0244556i | ||||
\(254\) | 15.9565 | + | 11.5931i | 1.00120 | + | 0.727414i | ||||
\(255\) | 0.0167590 | + | 22.7528i | 0.00104949 | + | 1.42484i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −1.62811 | + | 1.62811i | −0.101558 | + | 0.101558i | −0.756060 | − | 0.654502i | \(-0.772878\pi\) |
0.654502 | + | 0.756060i | \(0.272878\pi\) | |||||||
\(258\) | 5.31086 | + | 16.7795i | 0.330640 | + | 1.04464i | ||||
\(259\) | 9.18328 | − | 2.98383i | 0.570621 | − | 0.185406i | ||||
\(260\) | −0.0490156 | − | 5.86128i | −0.00303982 | − | 0.363501i | ||||
\(261\) | −1.11687 | + | 0.785713i | −0.0691327 | + | 0.0486344i | ||||
\(262\) | 4.92018 | − | 9.65639i | 0.303970 | − | 0.596574i | ||||
\(263\) | 7.63791 | − | 14.9902i | 0.470973 | − | 0.924338i | −0.526283 | − | 0.850310i | \(-0.676415\pi\) |
0.997256 | − | 0.0740278i | \(-0.0235854\pi\) | |||||||
\(264\) | −0.0944078 | − | 0.626975i | −0.00581040 | − | 0.0385876i | ||||
\(265\) | 18.8402 | + | 5.94782i | 1.15734 | + | 0.365372i | ||||
\(266\) | 0.557233 | − | 0.181056i | 0.0341662 | − | 0.0111013i | ||||
\(267\) | 3.34721 | − | 1.05943i | 0.204846 | − | 0.0648358i | ||||
\(268\) | −9.37111 | + | 9.37111i | −0.572432 | + | 0.572432i | ||||
\(269\) | 4.85348 | − | 3.52626i | 0.295922 | − | 0.215000i | −0.429910 | − | 0.902872i | \(-0.641455\pi\) |
0.725832 | + | 0.687872i | \(0.241455\pi\) | |||||||
\(270\) | −11.1012 | + | 3.42968i | −0.675599 | + | 0.208724i | ||||
\(271\) | −10.0235 | − | 7.28250i | −0.608885 | − | 0.442380i | 0.240137 | − | 0.970739i | \(-0.422808\pi\) |
−0.849021 | + | 0.528359i | \(0.822808\pi\) | |||||||
\(272\) | −5.80242 | + | 0.919013i | −0.351823 | + | 0.0557234i | ||||
\(273\) | −2.71720 | + | 3.68054i | −0.164452 | + | 0.222757i | ||||
\(274\) | 8.70132i | 0.525666i | ||||||||
\(275\) | 0.594635 | + | 1.73104i | 0.0358578 | + | 0.104386i | ||||
\(276\) | −10.5235 | + | 5.26132i | −0.633443 | + | 0.316694i | ||||
\(277\) | 5.49796 | − | 2.80135i | 0.330340 | − | 0.168317i | −0.280952 | − | 0.959722i | \(-0.590650\pi\) |
0.611292 | + | 0.791405i | \(0.290650\pi\) | |||||||
\(278\) | 0.478765 | + | 3.02280i | 0.0287144 | + | 0.181296i | ||||
\(279\) | −2.58593 | − | 8.39207i | −0.154816 | − | 0.502420i | ||||
\(280\) | −2.22234 | + | 0.371060i | −0.132810 | + | 0.0221751i | ||||
\(281\) | −5.28744 | − | 7.27753i | −0.315422 | − | 0.434141i | 0.621640 | − | 0.783303i | \(-0.286467\pi\) |
−0.937063 | + | 0.349161i | \(0.886467\pi\) | |||||||
\(282\) | 4.52683 | − | 13.5789i | 0.269569 | − | 0.808613i | ||||
\(283\) | 2.05054 | − | 12.9466i | 0.121892 | − | 0.769594i | −0.848702 | − | 0.528871i | \(-0.822615\pi\) |
0.970594 | − | 0.240723i | \(-0.0773845\pi\) | |||||||
\(284\) | 0.397386 | + | 1.22303i | 0.0235805 | + | 0.0725733i | ||||
\(285\) | −1.59362 | − | 1.59127i | −0.0943978 | − | 0.0942589i | ||||
\(286\) | −0.296526 | + | 0.912614i | −0.0175340 | + | 0.0539640i | ||||
\(287\) | −9.52650 | − | 4.85400i | −0.562332 | − | 0.286522i | ||||
\(288\) | −1.32105 | − | 2.69348i | −0.0778434 | − | 0.158715i | ||||
\(289\) | −16.6555 | − | 5.41171i | −0.979737 | − | 0.318336i | ||||
\(290\) | 0.828414 | + | 0.591357i | 0.0486461 | + | 0.0347257i | ||||
\(291\) | 22.2243 | − | 21.8879i | 1.30281 | − | 1.28309i | ||||
\(292\) | −9.42784 | − | 1.49322i | −0.551722 | − | 0.0873842i | ||||
\(293\) | 9.52977 | + | 9.52977i | 0.556735 | + | 0.556735i | 0.928376 | − | 0.371641i | \(-0.121205\pi\) |
−0.371641 | + | 0.928376i | \(0.621205\pi\) | |||||||
\(294\) | −9.19985 | − | 4.77627i | −0.536546 | − | 0.278558i | ||||
\(295\) | −20.8314 | − | 3.12104i | −1.21285 | − | 0.181714i | ||||
\(296\) | 5.63266 | − | 7.75269i | 0.327392 | − | 0.450616i | ||||
\(297\) | 1.90163 | + | 0.0435122i | 0.110344 | + | 0.00252484i | ||||
\(298\) | −2.65942 | − | 5.21941i | −0.154056 | − | 0.302353i | ||||
\(299\) | 17.8062 | 1.02976 | ||||||||
\(300\) | 5.15391 | + | 6.95969i | 0.297561 | + | 0.401818i | ||||
\(301\) | −10.2387 | −0.590150 | ||||||||
\(302\) | −1.65696 | − | 3.25196i | −0.0953472 | − | 0.187129i | ||||
\(303\) | −0.510530 | + | 0.365006i | −0.0293292 | + | 0.0209691i | ||||
\(304\) | 0.341785 | − | 0.470426i | 0.0196027 | − | 0.0269808i | ||||
\(305\) | −1.72997 | − | 1.70127i | −0.0990577 | − | 0.0974147i | ||||
\(306\) | 0.268789 | − | 17.6222i | 0.0153657 | − | 1.00739i | ||||
\(307\) | 13.4223 | + | 13.4223i | 0.766053 | + | 0.766053i | 0.977409 | − | 0.211356i | \(-0.0677880\pi\) |
−0.211356 | + | 0.977409i | \(0.567788\pi\) | |||||||
\(308\) | 0.364313 | + | 0.0577015i | 0.0207587 | + | 0.00328785i | ||||
\(309\) | −9.64297 | − | 9.79118i | −0.548569 | − | 0.557001i | ||||
\(310\) | −5.26291 | + | 3.89138i | −0.298913 | + | 0.221016i | ||||
\(311\) | −20.3576 | − | 6.61457i | −1.15437 | − | 0.375078i | −0.331583 | − | 0.943426i | \(-0.607583\pi\) |
−0.822788 | + | 0.568348i | \(0.807583\pi\) | |||||||
\(312\) | −0.0346232 | + | 4.54016i | −0.00196015 | + | 0.257036i | ||||
\(313\) | 11.3795 | + | 5.79816i | 0.643210 | + | 0.327732i | 0.744990 | − | 0.667075i | \(-0.232454\pi\) |
−0.101781 | + | 0.994807i | \(0.532454\pi\) | |||||||
\(314\) | 0.994222 | − | 3.05990i | 0.0561072 | − | 0.172680i | ||||
\(315\) | 0.0465665 | − | 6.75916i | 0.00262372 | − | 0.380835i | ||||
\(316\) | 3.77118 | + | 11.6065i | 0.212146 | + | 0.652917i | ||||
\(317\) | 4.33787 | − | 27.3883i | 0.243639 | − | 1.53828i | −0.497821 | − | 0.867280i | \(-0.665866\pi\) |
0.741460 | − | 0.670997i | \(-0.234134\pi\) | |||||||
\(318\) | −14.5180 | − | 4.83989i | −0.814129 | − | 0.271408i | ||||
\(319\) | −0.0979413 | − | 0.134805i | −0.00548366 | − | 0.00754761i | ||||
\(320\) | −1.56786 | + | 1.59431i | −0.0876461 | + | 0.0891244i | ||||
\(321\) | −21.9136 | − | 3.64228i | −1.22310 | − | 0.203292i | ||||
\(322\) | −1.07072 | − | 6.76029i | −0.0596692 | − | 0.376736i | ||||
\(323\) | 3.04372 | − | 1.55085i | 0.169357 | − | 0.0862917i | ||||
\(324\) | 8.64035 | − | 2.51881i | 0.480019 | − | 0.139934i | ||||
\(325\) | −2.26655 | − | 12.9092i | −0.125725 | − | 0.716074i | ||||
\(326\) | 3.69881i | 0.204858i | ||||||||
\(327\) | −6.35436 | − | 4.69116i | −0.351397 | − | 0.259422i | ||||
\(328\) | −10.4804 | + | 1.65992i | −0.578681 | + | 0.0916540i | ||||
\(329\) | 6.73663 | + | 4.89445i | 0.371402 | + | 0.269840i | ||||
\(330\) | −0.439106 | − | 1.34805i | −0.0241720 | − | 0.0742077i | ||||
\(331\) | 15.0534 | − | 10.9369i | 0.827410 | − | 0.601149i | −0.0914151 | − | 0.995813i | \(-0.529139\pi\) |
0.918826 | + | 0.394664i | \(0.129139\pi\) | |||||||
\(332\) | 0.670954 | − | 0.670954i | 0.0368234 | − | 0.0368234i | ||||
\(333\) | 20.0159 | + | 20.6360i | 1.09687 | + | 1.13084i | ||||
\(334\) | 8.68968 | − | 2.82345i | 0.475478 | − | 0.154492i | ||||
\(335\) | −17.2174 | + | 24.1193i | −0.940685 | + | 1.31778i | ||||
\(336\) | 1.72579 | − | 0.259864i | 0.0941498 | − | 0.0141767i | ||||
\(337\) | −9.42193 | + | 18.4916i | −0.513245 | + | 1.00730i | 0.478380 | + | 0.878153i | \(0.341224\pi\) |
−0.991625 | + | 0.129148i | \(0.958776\pi\) | |||||||
\(338\) | −2.78232 | + | 5.46062i | −0.151339 | + | 0.297019i | ||||
\(339\) | −23.3018 | + | 3.50870i | −1.26558 | + | 0.190566i | ||||
\(340\) | −12.4590 | + | 4.16368i | −0.675685 | + | 0.225807i | ||||
\(341\) | 1.01908 | − | 0.331120i | 0.0551864 | − | 0.0179312i | ||||
\(342\) | 1.21455 | + | 1.25217i | 0.0656752 | + | 0.0677097i | ||||
\(343\) | 9.25153 | − | 9.25153i | 0.499536 | − | 0.499536i | ||||
\(344\) | −8.22066 | + | 5.97266i | −0.443228 | + | 0.322024i | ||||
\(345\) | −21.2725 | + | 15.4794i | −1.14528 | + | 0.833381i | ||||
\(346\) | −7.45594 | − | 5.41706i | −0.400834 | − | 0.291223i | ||||
\(347\) | −7.36133 | + | 1.16592i | −0.395177 | + | 0.0625898i | −0.350861 | − | 0.936428i | \(-0.614111\pi\) |
−0.0443161 | + | 0.999018i | \(0.514111\pi\) | |||||||
\(348\) | −0.634281 | − | 0.468264i | −0.0340010 | − | 0.0251016i | ||||
\(349\) | 16.1042i | 0.862040i | 0.902342 | + | 0.431020i | \(0.141846\pi\) | ||||
−0.902342 | + | 0.431020i | \(0.858154\pi\) | |||||||
\(350\) | −4.76481 | + | 1.63677i | −0.254690 | + | 0.0874893i | ||||
\(351\) | −13.4009 | − | 2.43796i | −0.715287 | − | 0.130129i | ||||
\(352\) | 0.326166 | − | 0.166190i | 0.0173847 | − | 0.00885796i | ||||
\(353\) | 0.0677049 | + | 0.427472i | 0.00360357 | + | 0.0227520i | 0.989425 | − | 0.145048i | \(-0.0463337\pi\) |
−0.985821 | + | 0.167800i | \(0.946334\pi\) | |||||||
\(354\) | 16.0952 | + | 2.67521i | 0.855453 | + | 0.142186i | ||||
\(355\) | 1.32683 | + | 2.55109i | 0.0704210 | + | 0.135398i | ||||
\(356\) | 1.19144 | + | 1.63988i | 0.0631463 | + | 0.0869135i | ||||
\(357\) | 9.72664 | + | 3.24259i | 0.514788 | + | 0.171616i | ||||
\(358\) | −2.11378 | + | 13.3459i | −0.111717 | + | 0.705352i | ||||
\(359\) | 0.0683480 | + | 0.210354i | 0.00360727 | + | 0.0111020i | 0.952844 | − | 0.303461i | \(-0.0981421\pi\) |
−0.949237 | + | 0.314563i | \(0.898142\pi\) | |||||||
\(360\) | −3.90550 | − | 5.45409i | −0.205838 | − | 0.287456i | ||||
\(361\) | 5.76684 | − | 17.7485i | 0.303518 | − | 0.934132i | ||||
\(362\) | 14.4246 | + | 7.34971i | 0.758141 | + | 0.386292i | ||||
\(363\) | 0.143521 | − | 18.8199i | 0.00753287 | − | 0.987789i | ||||
\(364\) | −2.51204 | − | 0.816210i | −0.131666 | − | 0.0427810i | ||||
\(365\) | −21.3433 | + | 0.178486i | −1.11716 | + | 0.00934238i | ||||
\(366\) | 1.31879 | + | 1.33906i | 0.0689342 | + | 0.0699936i | ||||
\(367\) | 16.4940 | + | 2.61239i | 0.860980 | + | 0.136366i | 0.571284 | − | 0.820753i | \(-0.306446\pi\) |
0.289697 | + | 0.957119i | \(0.406446\pi\) | |||||||
\(368\) | −4.80323 | − | 4.80323i | −0.250386 | − | 0.250386i | ||||
\(369\) | 0.485488 | − | 31.8293i | 0.0252735 | − | 1.65697i | ||||
\(370\) | 9.56807 | − | 19.1731i | 0.497420 | − | 0.996762i | ||||
\(371\) | 5.23293 | − | 7.20252i | 0.271680 | − | 0.373936i | ||||
\(372\) | 4.12430 | − | 2.94869i | 0.213835 | − | 0.152882i | ||||
\(373\) | 0.0479661 | + | 0.0941389i | 0.00248359 | + | 0.00487433i | 0.892245 | − | 0.451552i | \(-0.149129\pi\) |
−0.889761 | + | 0.456426i | \(0.849129\pi\) | |||||||
\(374\) | 2.15054 | 0.111202 | ||||||||
\(375\) | 13.9301 | + | 13.4519i | 0.719345 | + | 0.694653i | ||||
\(376\) | 8.26396 | 0.426181 | ||||||||
\(377\) | 0.541700 | + | 1.06315i | 0.0278990 | + | 0.0547548i | ||||
\(378\) | −0.119771 | + | 5.23438i | −0.00616033 | + | 0.269227i | ||||
\(379\) | −5.78536 | + | 7.96287i | −0.297174 | + | 0.409025i | −0.931328 | − | 0.364182i | \(-0.881349\pi\) |
0.634154 | + | 0.773207i | \(0.281349\pi\) | |||||||
\(380\) | 0.580582 | − | 1.16341i | 0.0297832 | − | 0.0596815i | ||||
\(381\) | −30.3192 | − | 15.7408i | −1.55330 | − | 0.806426i | ||||
\(382\) | 10.9196 | + | 10.9196i | 0.558693 | + | 0.558693i | ||||
\(383\) | 32.8669 | + | 5.20561i | 1.67942 | + | 0.265994i | 0.922073 | − | 0.387016i | \(-0.126494\pi\) |
0.757349 | + | 0.653010i | \(0.226494\pi\) | |||||||
\(384\) | 1.23405 | − | 1.21537i | 0.0629748 | − | 0.0620216i | ||||
\(385\) | 0.824754 | − | 0.00689710i | 0.0420334 | − | 0.000351509i | ||||
\(386\) | −8.14244 | − | 2.64564i | −0.414439 | − | 0.134659i | ||||
\(387\) | −13.4235 | − | 27.3692i | −0.682357 | − | 1.39126i | ||||
\(388\) | 16.0464 | + | 8.17604i | 0.814632 | + | 0.415076i | ||||
\(389\) | −10.3312 | + | 31.7962i | −0.523814 | + | 1.61213i | 0.242836 | + | 0.970067i | \(0.421922\pi\) |
−0.766650 | + | 0.642066i | \(0.778078\pi\) | |||||||
\(390\) | 1.59557 | + | 10.0262i | 0.0807948 | + | 0.507698i | ||||
\(391\) | −12.3316 | − | 37.9528i | −0.623637 | − | 1.91936i | ||||
\(392\) | 0.936214 | − | 5.91102i | 0.0472859 | − | 0.298552i | ||||
\(393\) | −5.93662 | + | 17.8078i | −0.299463 | + | 0.898286i | ||||
\(394\) | −3.72329 | − | 5.12467i | −0.187577 | − | 0.258177i | ||||
\(395\) | 12.5916 | + | 24.2098i | 0.633554 | + | 1.21813i | ||||
\(396\) | 0.323392 | + | 1.04950i | 0.0162511 | + | 0.0527393i | ||||
\(397\) | 2.14742 | + | 13.5583i | 0.107776 | + | 0.680471i | 0.981125 | + | 0.193376i | \(0.0619437\pi\) |
−0.873349 | + | 0.487096i | \(0.838056\pi\) | |||||||
\(398\) | 9.26436 | − | 4.72043i | 0.464381 | − | 0.236614i | ||||
\(399\) | −0.907703 | + | 0.453812i | −0.0454420 | + | 0.0227190i | ||||
\(400\) | −2.87087 | + | 4.09367i | −0.143543 | + | 0.204683i | ||||
\(401\) | 8.63025i | 0.430974i | 0.976507 | + | 0.215487i | \(0.0691339\pi\) | ||||
−0.976507 | + | 0.215487i | \(0.930866\pi\) | |||||||
\(402\) | 13.6335 | − | 18.4671i | 0.679977 | − | 0.921055i | ||||
\(403\) | −7.57858 | + | 1.20033i | −0.377516 | + | 0.0597926i | ||||
\(404\) | −0.293139 | − | 0.212978i | −0.0145842 | − | 0.0105961i | ||||
\(405\) | 18.1290 | − | 8.73716i | 0.900839 | − | 0.434153i | ||||
\(406\) | 0.371060 | − | 0.269591i | 0.0184154 | − | 0.0133796i | ||||
\(407\) | −2.48049 | + | 2.48049i | −0.122953 | + | 0.122953i | ||||
\(408\) | 9.70104 | − | 3.07047i | 0.480273 | − | 0.152011i | ||||
\(409\) | −25.9908 | + | 8.44492i | −1.28516 | + | 0.417574i | −0.870395 | − | 0.492353i | \(-0.836137\pi\) |
−0.414767 | + | 0.909928i | \(0.636137\pi\) | |||||||
\(410\) | −22.5035 | + | 7.52046i | −1.11137 | + | 0.371409i | ||||
\(411\) | −2.24406 | − | 14.9031i | −0.110691 | − | 0.735117i | ||||
\(412\) | 3.60205 | − | 7.06941i | 0.177460 | − | 0.348285i | ||||
\(413\) | −4.30921 | + | 8.45731i | −0.212043 | + | 0.416157i | ||||
\(414\) | 16.6672 | − | 11.7253i | 0.819150 | − | 0.576267i | ||||
\(415\) | 1.23273 | − | 1.72689i | 0.0605124 | − | 0.0847699i | ||||
\(416\) | −2.49304 | + | 0.810037i | −0.122231 | + | 0.0397154i | ||||
\(417\) | −1.59958 | − | 5.05381i | −0.0783317 | − | 0.247486i | ||||
\(418\) | −0.150514 | + | 0.150514i | −0.00736189 | + | 0.00736189i | ||||
\(419\) | 20.8362 | − | 15.1384i | 1.01791 | − | 0.739557i | 0.0520594 | − | 0.998644i | \(-0.483421\pi\) |
0.965854 | + | 0.259087i | \(0.0834215\pi\) | |||||||
\(420\) | 3.71060 | − | 1.20867i | 0.181059 | − | 0.0589771i | ||||
\(421\) | 28.5994 | + | 20.7787i | 1.39385 | + | 1.01269i | 0.995431 | + | 0.0954876i | \(0.0304410\pi\) |
0.398419 | + | 0.917203i | \(0.369559\pi\) | |||||||
\(422\) | −3.61038 | + | 0.571828i | −0.175751 | + | 0.0278362i | ||||
\(423\) | −4.25130 | + | 24.4247i | −0.206705 | + | 1.18757i | ||||
\(424\) | − | 8.83548i | − | 0.429089i | ||||||
\(425\) | −25.9455 | + | 13.7712i | −1.25854 | + | 0.668003i | ||||
\(426\) | −0.996037 | − | 1.99225i | −0.0482582 | − | 0.0965246i | ||||
\(427\) | −0.974191 | + | 0.496375i | −0.0471444 | + | 0.0240213i | ||||
\(428\) | −2.00633 | − | 12.6675i | −0.0969797 | − | 0.612306i | ||||
\(429\) | 0.272511 | − | 1.63955i | 0.0131570 | − | 0.0791581i | ||||
\(430\) | −15.9315 | + | 16.2002i | −0.768285 | + | 0.781243i | ||||
\(431\) | 19.9752 | + | 27.4935i | 0.962171 | + | 1.32432i | 0.945904 | + | 0.324448i | \(0.105178\pi\) |
0.0162678 | + | 0.999868i | \(0.494822\pi\) | |||||||
\(432\) | 2.95726 | + | 4.27254i | 0.142281 | + | 0.205563i | ||||
\(433\) | 2.98384 | − | 18.8393i | 0.143394 | − | 0.905357i | −0.806147 | − | 0.591715i | \(-0.798451\pi\) |
0.949541 | − | 0.313641i | \(-0.101549\pi\) | |||||||
\(434\) | 0.911432 | + | 2.80510i | 0.0437501 | + | 0.134649i | ||||
\(435\) | −1.57137 | − | 0.799196i | −0.0753414 | − | 0.0383185i | ||||
\(436\) | 1.40916 | − | 4.33696i | 0.0674867 | − | 0.207703i | ||||
\(437\) | 3.51936 | + | 1.79320i | 0.168354 | + | 0.0857806i | ||||
\(438\) | 16.5326 | + | 0.126077i | 0.789956 | + | 0.00602420i | ||||
\(439\) | 33.6517 | + | 10.9341i | 1.60611 | + | 0.521856i | 0.968607 | − | 0.248596i | \(-0.0799691\pi\) |
0.637499 | + | 0.770451i | \(0.279969\pi\) | |||||||
\(440\) | 0.658171 | − | 0.486650i | 0.0313771 | − | 0.0232001i | ||||
\(441\) | 16.9888 | + | 5.80790i | 0.808989 | + | 0.276567i | ||||
\(442\) | −15.2101 | − | 2.40904i | −0.723470 | − | 0.114586i | ||||
\(443\) | 10.2497 | + | 10.2497i | 0.486977 | + | 0.486977i | 0.907351 | − | 0.420374i | \(-0.138101\pi\) |
−0.420374 | + | 0.907351i | \(0.638101\pi\) | |||||||
\(444\) | −7.64789 | + | 14.7310i | −0.362953 | + | 0.699104i | ||||
\(445\) | 3.23166 | + | 3.17806i | 0.153195 | + | 0.150655i | ||||
\(446\) | −1.24289 | + | 1.71069i | −0.0588524 | + | 0.0810034i | ||||
\(447\) | 5.90099 | + | 8.25365i | 0.279107 | + | 0.390384i | ||||
\(448\) | 0.457450 | + | 0.897796i | 0.0216125 | + | 0.0424169i | ||||
\(449\) | −9.47944 | −0.447362 | −0.223681 | − | 0.974662i | \(-0.571807\pi\) | ||||
−0.223681 | + | 0.974662i | \(0.571807\pi\) | |||||||
\(450\) | −10.6222 | − | 10.5910i | −0.500736 | − | 0.499263i | ||||
\(451\) | 3.88431 | 0.182905 | ||||||||
\(452\) | −6.17652 | − | 12.1221i | −0.290519 | − | 0.570175i | ||||
\(453\) | 3.67662 | + | 5.14245i | 0.172743 | + | 0.241613i | ||||
\(454\) | −9.10358 | + | 12.5300i | −0.427252 | + | 0.588062i | ||||
\(455\) | −5.84096 | − | 0.875112i | −0.273828 | − | 0.0410259i | ||||
\(456\) | −0.464067 | + | 0.893866i | −0.0217319 | + | 0.0418591i | ||||
\(457\) | −25.4852 | − | 25.4852i | −1.19215 | − | 1.19215i | −0.976464 | − | 0.215682i | \(-0.930803\pi\) |
−0.215682 | − | 0.976464i | \(-0.569197\pi\) | |||||||
\(458\) | 1.63221 | + | 0.258516i | 0.0762681 | + | 0.0120797i | ||||
\(459\) | 4.08438 | + | 30.2516i | 0.190642 | + | 1.41202i | ||||
\(460\) | −12.3625 | − | 8.82489i | −0.576405 | − | 0.411463i | ||||
\(461\) | −21.4340 | − | 6.96431i | −0.998279 | − | 0.324360i | −0.236101 | − | 0.971728i | \(-0.575870\pi\) |
−0.762178 | + | 0.647368i | \(0.775870\pi\) | |||||||
\(462\) | −0.638856 | − | 0.00487191i | −0.0297223 | − | 0.000226662i | ||||
\(463\) | 5.05300 | + | 2.57463i | 0.234833 | + | 0.119653i | 0.567448 | − | 0.823409i | \(-0.307931\pi\) |
−0.332615 | + | 0.943063i | \(0.607931\pi\) | |||||||
\(464\) | 0.140660 | − | 0.432908i | 0.00652999 | − | 0.0200972i | ||||
\(465\) | 8.01042 | − | 8.02223i | 0.371475 | − | 0.372022i | ||||
\(466\) | 5.39691 | + | 16.6100i | 0.250007 | + | 0.769442i | ||||
\(467\) | −1.81829 | + | 11.4802i | −0.0841404 | + | 0.531242i | 0.909231 | + | 0.416292i | \(0.136671\pi\) |
−0.993371 | + | 0.114950i | \(0.963329\pi\) | |||||||
\(468\) | −1.11160 | − | 7.78505i | −0.0513838 | − | 0.359864i | ||||
\(469\) | 7.84913 | + | 10.8034i | 0.362439 | + | 0.498854i | ||||
\(470\) | 18.2265 | − | 3.04324i | 0.840724 | − | 0.140374i | ||||
\(471\) | −0.913702 | + | 5.49723i | −0.0421011 | + | 0.253299i | ||||
\(472\) | 1.47363 | + | 9.30410i | 0.0678291 | + | 0.428256i | ||||
\(473\) | 3.31427 | − | 1.68871i | 0.152390 | − | 0.0776467i | ||||
\(474\) | −9.45238 | − | 18.9064i | −0.434162 | − | 0.868399i | ||||
\(475\) | 0.852065 | − | 2.77974i | 0.0390954 | − | 0.127543i | ||||
\(476\) | 5.91951i | 0.271320i | ||||||||
\(477\) | 26.1138 | + | 4.54531i | 1.19567 | + | 0.208116i | ||||
\(478\) | 6.31048 | − | 0.999482i | 0.288635 | − | 0.0457152i | ||||
\(479\) | 2.20406 | + | 1.60135i | 0.100706 | + | 0.0731673i | 0.636999 | − | 0.770865i | \(-0.280176\pi\) |
−0.536293 | + | 0.844032i | \(0.680176\pi\) | |||||||
\(480\) | 2.27417 | − | 3.13499i | 0.103801 | − | 0.143092i | ||||
\(481\) | 20.3224 | − | 14.7651i | 0.926622 | − | 0.673230i | ||||
\(482\) | 13.6039 | − | 13.6039i | 0.619639 | − | 0.619639i | ||||
\(483\) | 3.57735 | + | 11.3025i | 0.162775 | + | 0.514282i | ||||
\(484\) | 10.3342 | − | 3.35778i | 0.469735 | − | 0.152626i | ||||
\(485\) | 38.4017 | + | 12.1234i | 1.74373 | + | 0.550495i | ||||
\(486\) | −14.1491 | + | 6.54240i | −0.641816 | + | 0.296769i | ||||
\(487\) | −12.3082 | + | 24.1563i | −0.557739 | + | 1.09462i | 0.424225 | + | 0.905557i | \(0.360547\pi\) |
−0.981964 | + | 0.189068i | \(0.939453\pi\) | |||||||
\(488\) | −0.492622 | + | 0.966824i | −0.0222999 | + | 0.0437661i | ||||
\(489\) | −0.953920 | − | 6.33512i | −0.0431378 | − | 0.286484i | ||||
\(490\) | −0.111906 | − | 13.3817i | −0.00505541 | − | 0.604525i | ||||
\(491\) | −37.5268 | + | 12.1932i | −1.69356 | + | 0.550271i | −0.987464 | − | 0.157846i | \(-0.949545\pi\) |
−0.706095 | + | 0.708117i | \(0.749545\pi\) | |||||||
\(492\) | 17.5221 | − | 5.54590i | 0.789955 | − | 0.250028i | ||||
\(493\) | 1.89088 | − | 1.89088i | 0.0851609 | − | 0.0851609i | ||||
\(494\) | 1.23315 | − | 0.895933i | 0.0554819 | − | 0.0403099i | ||||
\(495\) | 1.09974 | + | 2.19562i | 0.0494295 | + | 0.0986857i | ||||
\(496\) | 2.36811 | + | 1.72054i | 0.106331 | + | 0.0772543i | ||||
\(497\) | 1.27981 | − | 0.202702i | 0.0574075 | − | 0.00909245i | ||||
\(498\) | −0.976133 | + | 1.32221i | −0.0437416 | + | 0.0592496i | ||||
\(499\) | 11.3155i | 0.506552i | 0.967394 | + | 0.253276i | \(0.0815081\pi\) | ||||
−0.967394 | + | 0.253276i | \(0.918492\pi\) | |||||||
\(500\) | −4.82428 | + | 10.0859i | −0.215749 | + | 0.451057i | ||||
\(501\) | −14.1550 | + | 7.07690i | −0.632400 | + | 0.316173i | ||||
\(502\) | −9.07480 | + | 4.62384i | −0.405028 | + | 0.206372i | ||||
\(503\) | −1.34669 | − | 8.50269i | −0.0600461 | − | 0.379116i | −0.999351 | − | 0.0360317i | \(-0.988528\pi\) |
0.939305 | − | 0.343084i | \(-0.111472\pi\) | |||||||
\(504\) | −2.88882 | + | 0.890161i | −0.128678 | + | 0.0396509i | ||||
\(505\) | −0.724959 | − | 0.361781i | −0.0322603 | − | 0.0160990i | ||||
\(506\) | 1.46159 | + | 2.01171i | 0.0649756 | + | 0.0894312i | ||||
\(507\) | 3.35712 | − | 10.0702i | 0.149095 | − | 0.447233i | ||||
\(508\) | 3.08541 | − | 19.4805i | 0.136893 | − | 0.864307i | ||||
\(509\) | 0.697725 | + | 2.14738i | 0.0309261 | + | 0.0951808i | 0.965328 | − | 0.261039i | \(-0.0840653\pi\) |
−0.934402 | + | 0.356220i | \(0.884065\pi\) | |||||||
\(510\) | 20.2653 | − | 10.3445i | 0.897362 | − | 0.458062i | ||||
\(511\) | −2.97215 | + | 9.14735i | −0.131480 | + | 0.404655i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | −2.40314 | − | 1.83142i | −0.106101 | − | 0.0808591i | ||||
\(514\) | 2.18980 | + | 0.711508i | 0.0965878 | + | 0.0313833i | ||||
\(515\) | 5.34110 | − | 16.9183i | 0.235357 | − | 0.745510i | ||||
\(516\) | 12.5395 | − | 12.3497i | 0.552022 | − | 0.543666i | ||||
\(517\) | −2.98790 | − | 0.473237i | −0.131408 | − | 0.0208129i | ||||
\(518\) | −6.82773 | − | 6.82773i | −0.299993 | − | 0.299993i | ||||
\(519\) | 14.1672 | + | 7.35515i | 0.621869 | + | 0.322855i | ||||
\(520\) | −5.20019 | + | 2.70464i | −0.228043 | + | 0.118606i | ||||
\(521\) | 13.0319 | − | 17.9369i | 0.570938 | − | 0.785829i | −0.421727 | − | 0.906723i | \(-0.638576\pi\) |
0.992665 | + | 0.120894i | \(0.0385760\pi\) | |||||||
\(522\) | 1.20713 | + | 0.638435i | 0.0528345 | + | 0.0279435i | ||||
\(523\) | −5.09249 | − | 9.99457i | −0.222679 | − | 0.437032i | 0.752456 | − | 0.658642i | \(-0.228869\pi\) |
−0.975135 | + | 0.221610i | \(0.928869\pi\) | |||||||
\(524\) | −10.8376 | −0.473444 | ||||||||
\(525\) | 7.73877 | − | 4.03221i | 0.337748 | − | 0.175980i | ||||
\(526\) | −16.8239 | −0.733558 | ||||||||
\(527\) | 7.80694 | + | 15.3220i | 0.340076 | + | 0.667436i | ||||
\(528\) | −0.515779 | + | 0.368759i | −0.0224464 | + | 0.0160482i | ||||
\(529\) | 13.6026 | − | 18.7224i | 0.591417 | − | 0.814016i | ||||
\(530\) | −3.25370 | − | 19.4870i | −0.141332 | − | 0.846459i | ||||
\(531\) | −28.2570 | − | 0.431000i | −1.22625 | − | 0.0187038i | ||||
\(532\) | −0.414301 | − | 0.414301i | −0.0179622 | − | 0.0179622i | ||||
\(533\) | −27.4725 | − | 4.35122i | −1.18997 | − | 0.188472i | ||||
\(534\) | −2.46356 | − | 2.50142i | −0.106609 | − | 0.108247i | ||||
\(535\) | −9.08989 | − | 27.1998i | −0.392990 | − | 1.17595i | ||||
\(536\) | 12.6041 | + | 4.09532i | 0.544415 | + | 0.176891i | ||||
\(537\) | 0.178473 | − | 23.4032i | 0.00770167 | − | 1.00992i | ||||
\(538\) | −5.34536 | − | 2.72359i | −0.230455 | − | 0.117423i | ||||
\(539\) | −0.676991 | + | 2.08356i | −0.0291601 | + | 0.0897455i | ||||
\(540\) | 8.09572 | + | 8.33422i | 0.348384 | + | 0.358648i | ||||
\(541\) | 3.02125 | + | 9.29846i | 0.129894 | + | 0.399772i | 0.994761 | − | 0.102229i | \(-0.0325974\pi\) |
−0.864867 | + | 0.502001i | \(0.832597\pi\) | |||||||
\(542\) | −1.93818 | + | 12.2372i | −0.0832520 | + | 0.525632i | ||||
\(543\) | −26.6012 | − | 8.86807i | −1.14156 | − | 0.380565i | ||||
\(544\) | 3.45309 | + | 4.75277i | 0.148050 | + | 0.203773i | ||||
\(545\) | 1.51086 | − | 10.0842i | 0.0647180 | − | 0.431962i | ||||
\(546\) | 4.51297 | + | 0.750106i | 0.193137 | + | 0.0321016i | ||||
\(547\) | −1.65483 | − | 10.4482i | −0.0707555 | − | 0.446732i | −0.997477 | − | 0.0709846i | \(-0.977386\pi\) |
0.926722 | − | 0.375748i | \(-0.122614\pi\) | |||||||
\(548\) | 7.75294 | − | 3.95032i | 0.331189 | − | 0.168749i | ||||
\(549\) | −2.60409 | − | 1.95335i | −0.111140 | − | 0.0833668i | ||||
\(550\) | 1.27241 | − | 1.31570i | 0.0542557 | − | 0.0561016i | ||||
\(551\) | 0.264681i | 0.0112758i | ||||||||
\(552\) | 9.46545 | + | 6.98796i | 0.402876 | + | 0.297427i | ||||
\(553\) | 12.1454 | − | 1.92364i | 0.516475 | − | 0.0818016i | ||||
\(554\) | −4.99204 | − | 3.62693i | −0.212092 | − | 0.154094i | ||||
\(555\) | −11.4429 | + | 35.3062i | −0.485725 | + | 1.49866i | ||||
\(556\) | 2.47598 | − | 1.79891i | 0.105005 | − | 0.0762906i | ||||
\(557\) | 2.23937 | − | 2.23937i | 0.0948850 | − | 0.0948850i | −0.658071 | − | 0.752956i | \(-0.728627\pi\) |
0.752956 | + | 0.658071i | \(0.228627\pi\) | |||||||
\(558\) | −6.30340 | + | 6.11400i | −0.266844 | + | 0.258826i | ||||
\(559\) | −25.3325 | + | 8.23103i | −1.07145 | + | 0.348135i | ||||
\(560\) | 1.33954 | + | 1.81166i | 0.0566059 | + | 0.0765567i | ||||
\(561\) | −3.68332 | + | 0.554622i | −0.155510 | + | 0.0234162i | ||||
\(562\) | −4.08388 | + | 8.01507i | −0.172268 | + | 0.338095i | ||||
\(563\) | 4.61877 | − | 9.06485i | 0.194658 | − | 0.382038i | −0.772961 | − | 0.634454i | \(-0.781225\pi\) |
0.967619 | + | 0.252416i | \(0.0812251\pi\) | |||||||
\(564\) | −14.1540 | + | 2.13127i | −0.595993 | + | 0.0897425i | ||||
\(565\) | −18.0865 | − | 24.4612i | −0.760907 | − | 1.02909i | ||||
\(566\) | −12.4664 | + | 4.05058i | −0.524002 | + | 0.170259i | ||||
\(567\) | −1.14480 | − | 8.99603i | −0.0480772 | − | 0.377798i | ||||
\(568\) | 0.909316 | − | 0.909316i | 0.0381541 | − | 0.0381541i | ||||
\(569\) | −10.0063 | + | 7.26997i | −0.419484 | + | 0.304773i | −0.777430 | − | 0.628969i | \(-0.783477\pi\) |
0.357946 | + | 0.933742i | \(0.383477\pi\) | |||||||
\(570\) | −0.694347 | + | 2.14235i | −0.0290830 | + | 0.0897331i | ||||
\(571\) | 22.7821 | + | 16.5522i | 0.953402 | + | 0.692687i | 0.951609 | − | 0.307311i | \(-0.0994292\pi\) |
0.00179324 | + | 0.999998i | \(0.499429\pi\) | |||||||
\(572\) | 0.947765 | − | 0.150111i | 0.0396281 | − | 0.00627647i | ||||
\(573\) | −21.5185 | − | 15.8862i | −0.898949 | − | 0.663657i | ||||
\(574\) | 10.6918i | 0.446269i | ||||||||
\(575\) | −30.5158 | − | 14.9111i | −1.27260 | − | 0.621835i | ||||
\(576\) | −1.80017 | + | 2.39988i | −0.0750069 | + | 0.0999948i | ||||
\(577\) | −9.96640 | + | 5.07813i | −0.414907 | + | 0.211405i | −0.648967 | − | 0.760817i | \(-0.724799\pi\) |
0.234060 | + | 0.972222i | \(0.424799\pi\) | |||||||
\(578\) | 2.73958 | + | 17.2971i | 0.113952 | + | 0.719463i | ||||
\(579\) | 14.6282 | + | 2.43137i | 0.607928 | + | 0.101044i | ||||
\(580\) | 0.150811 | − | 1.00659i | 0.00626209 | − | 0.0417965i | ||||
\(581\) | −0.561983 | − | 0.773503i | −0.0233150 | − | 0.0320903i | ||||
\(582\) | −29.5919 | − | 9.86511i | −1.22662 | − | 0.408922i | ||||
\(583\) | −0.505965 | + | 3.19454i | −0.0209549 | + | 0.132304i | ||||
\(584\) | 2.94968 | + | 9.07817i | 0.122059 | + | 0.375657i | ||||
\(585\) | −5.31855 | − | 16.7609i | −0.219895 | − | 0.692976i | ||||
\(586\) | 4.16466 | − | 12.8175i | 0.172041 | − | 0.529487i | ||||
\(587\) | −0.534451 | − | 0.272317i | −0.0220592 | − | 0.0112397i | 0.442926 | − | 0.896558i | \(-0.353940\pi\) |
−0.464985 | + | 0.885318i | \(0.653940\pi\) | |||||||
\(588\) | −0.0790473 | + | 10.3655i | −0.00325986 | + | 0.427466i | ||||
\(589\) | −1.61877 | − | 0.525971i | −0.0667003 | − | 0.0216722i | ||||
\(590\) | 6.67641 | + | 19.9779i | 0.274863 | + | 0.822476i | ||||
\(591\) | 7.69869 | + | 7.81701i | 0.316682 | + | 0.321549i | ||||
\(592\) | −9.46487 | − | 1.49909i | −0.389004 | − | 0.0616122i | ||||
\(593\) | 1.69633 | + | 1.69633i | 0.0696598 | + | 0.0696598i | 0.741078 | − | 0.671419i | \(-0.234315\pi\) |
−0.671419 | + | 0.741078i | \(0.734315\pi\) | |||||||
\(594\) | −0.824553 | − | 1.71412i | −0.0338318 | − | 0.0703312i | ||||
\(595\) | 2.17989 | + | 13.0557i | 0.0893666 | + | 0.535231i | ||||
\(596\) | −3.44318 | + | 4.73913i | −0.141038 | + | 0.194122i | ||||
\(597\) | −14.6501 | + | 10.4742i | −0.599588 | + | 0.428678i | ||||
\(598\) | −8.08385 | − | 15.8654i | −0.330573 | − | 0.648786i | ||||
\(599\) | −12.0681 | −0.493088 | −0.246544 | − | 0.969132i | \(-0.579295\pi\) | ||||
−0.246544 | + | 0.969132i | \(0.579295\pi\) | |||||||
\(600\) | 3.86130 | − | 7.75180i | 0.157637 | − | 0.316466i | ||||
\(601\) | 8.03062 | 0.327576 | 0.163788 | − | 0.986496i | \(-0.447629\pi\) | ||||
0.163788 | + | 0.986496i | \(0.447629\pi\) | |||||||
\(602\) | 4.64828 | + | 9.12277i | 0.189450 | + | 0.371816i | ||||
\(603\) | −18.5880 | + | 35.1455i | −0.756963 | + | 1.43123i | ||||
\(604\) | −2.14528 | + | 2.95272i | −0.0872900 | + | 0.120144i | ||||
\(605\) | 21.5559 | − | 11.2113i | 0.876371 | − | 0.455804i | ||||
\(606\) | 0.556999 | + | 0.289176i | 0.0226265 | + | 0.0117470i | ||||
\(607\) | −27.1756 | − | 27.1756i | −1.10302 | − | 1.10302i | −0.994044 | − | 0.108980i | \(-0.965242\pi\) |
−0.108980 | − | 0.994044i | \(-0.534758\pi\) | |||||||
\(608\) | −0.574320 | − | 0.0909634i | −0.0232918 | − | 0.00368905i | ||||
\(609\) | −0.566002 | + | 0.557435i | −0.0229356 | + | 0.0225884i | ||||
\(610\) | −0.730457 | + | 2.31378i | −0.0295753 | + | 0.0936820i | ||||
\(611\) | 20.6024 | + | 6.69412i | 0.833483 | + | 0.270815i | ||||
\(612\) | −15.8235 | + | 7.76082i | −0.639628 | + | 0.313712i | ||||
\(613\) | −25.9627 | − | 13.2287i | −1.04862 | − | 0.534300i | −0.157245 | − | 0.987560i | \(-0.550261\pi\) |
−0.891379 | + | 0.453259i | \(0.850261\pi\) | |||||||
\(614\) | 5.86577 | − | 18.0530i | 0.236723 | − | 0.728560i | ||||
\(615\) | 36.6032 | − | 18.6842i | 1.47598 | − | 0.753422i | ||||
\(616\) | −0.113982 | − | 0.350801i | −0.00459248 | − | 0.0141342i | ||||
\(617\) | 3.00048 | − | 18.9443i | 0.120795 | − | 0.762667i | −0.850708 | − | 0.525639i | \(-0.823826\pi\) |
0.971503 | − | 0.237029i | \(-0.0761736\pi\) | |||||||
\(618\) | −4.34618 | + | 13.0371i | −0.174829 | + | 0.524427i | ||||
\(619\) | 11.4117 | + | 15.7069i | 0.458676 | + | 0.631314i | 0.974234 | − | 0.225541i | \(-0.0724151\pi\) |
−0.515557 | + | 0.856855i | \(0.672415\pi\) | |||||||
\(620\) | 5.85656 | + | 2.92263i | 0.235205 | + | 0.117376i | ||||
\(621\) | −25.5227 | + | 24.3809i | −1.02419 | + | 0.978371i | ||||
\(622\) | 3.34851 | + | 21.1417i | 0.134263 | + | 0.847704i | ||||
\(623\) | 1.81984 | − | 0.927252i | 0.0729102 | − | 0.0371496i | ||||
\(624\) | 4.06103 | − | 2.03034i | 0.162571 | − | 0.0812786i | ||||
\(625\) | −6.92594 | + | 24.0215i | −0.277038 | + | 0.960859i | ||||
\(626\) | − | 12.7716i | − | 0.510454i | ||||||
\(627\) | 0.218975 | − | 0.296609i | 0.00874500 | − | 0.0118454i | ||||
\(628\) | −3.17776 | + | 0.503308i | −0.126806 | + | 0.0200842i | ||||
\(629\) | −45.5451 | − | 33.0905i | −1.81600 | − | 1.31940i | ||||
\(630\) | −6.04360 | + | 3.02710i | −0.240783 | + | 0.120603i | ||||
\(631\) | 8.91070 | − | 6.47400i | 0.354729 | − | 0.257726i | −0.396121 | − | 0.918198i | \(-0.629644\pi\) |
0.750850 | + | 0.660472i | \(0.229644\pi\) | |||||||
\(632\) | 8.62939 | − | 8.62939i | 0.343259 | − | 0.343259i | ||||
\(633\) | 6.03618 | − | 1.91051i | 0.239917 | − | 0.0759359i | ||||
\(634\) | −26.3725 | + | 8.56893i | −1.04738 | + | 0.340316i | ||||
\(635\) | −0.368801 | − | 44.1012i | −0.0146354 | − | 1.75010i | ||||
\(636\) | 2.27866 | + | 15.1329i | 0.0903547 | + | 0.600058i | ||||
\(637\) | 7.12216 | − | 13.9780i | 0.282190 | − | 0.553830i | ||||
\(638\) | −0.0756474 | + | 0.148466i | −0.00299491 | + | 0.00587784i | ||||
\(639\) | 2.21975 | + | 3.15533i | 0.0878121 | + | 0.124823i | ||||
\(640\) | 2.13233 | + | 0.673175i | 0.0842878 | + | 0.0266096i | ||||
\(641\) | 41.8679 | − | 13.6037i | 1.65368 | − | 0.537314i | 0.674148 | − | 0.738596i | \(-0.264511\pi\) |
0.979533 | + | 0.201283i | \(0.0645109\pi\) | |||||||
\(642\) | 6.70326 | + | 21.1787i | 0.264557 | + | 0.835857i | ||||
\(643\) | 21.0709 | − | 21.0709i | 0.830957 | − | 0.830957i | −0.156691 | − | 0.987648i | \(-0.550083\pi\) |
0.987648 | + | 0.156691i | \(0.0500826\pi\) | |||||||
\(644\) | −5.53736 | + | 4.02313i | −0.218203 | + | 0.158534i | ||||
\(645\) | 23.1085 | − | 31.8555i | 0.909898 | − | 1.25431i | ||||
\(646\) | −2.76364 | − | 2.00790i | −0.108734 | − | 0.0789998i | ||||
\(647\) | 32.0404 | − | 5.07470i | 1.25964 | − | 0.199507i | 0.509316 | − | 0.860580i | \(-0.329899\pi\) |
0.750322 | + | 0.661073i | \(0.229899\pi\) | |||||||
\(648\) | −6.16691 | − | 6.55509i | −0.242259 | − | 0.257508i | ||||
\(649\) | − | 3.44836i | − | 0.135360i | ||||||
\(650\) | −10.4732 | + | 7.88017i | −0.410793 | + | 0.309086i | ||||
\(651\) | −2.28448 | − | 4.56935i | −0.0895358 | − | 0.179087i | ||||
\(652\) | 3.29567 | − | 1.67923i | 0.129068 | − | 0.0657636i | ||||
\(653\) | −4.84433 | − | 30.5859i | −0.189573 | − | 1.19692i | −0.880518 | − | 0.474012i | \(-0.842805\pi\) |
0.690945 | − | 0.722907i | \(-0.257195\pi\) | |||||||
\(654\) | −1.29504 | + | 7.79152i | −0.0506400 | + | 0.304672i | ||||
\(655\) | −23.9028 | + | 3.99100i | −0.933958 | + | 0.155941i | ||||
\(656\) | 6.23698 | + | 8.58447i | 0.243513 | + | 0.335167i | ||||
\(657\) | −28.3485 | + | 4.04779i | −1.10598 | + | 0.157919i | ||||
\(658\) | 1.30262 | − | 8.22441i | 0.0507814 | − | 0.320621i | ||||
\(659\) | −6.85074 | − | 21.0844i | −0.266867 | − | 0.821332i | −0.991257 | − | 0.131942i | \(-0.957879\pi\) |
0.724390 | − | 0.689390i | \(-0.242121\pi\) | |||||||
\(660\) | −1.00177 | + | 1.00325i | −0.0389939 | + | 0.0390514i | ||||
\(661\) | −9.91334 | + | 30.5101i | −0.385584 | + | 1.18671i | 0.550471 | + | 0.834854i | \(0.314448\pi\) |
−0.936056 | + | 0.351852i | \(0.885552\pi\) | |||||||
\(662\) | −16.5790 | − | 8.44742i | −0.644361 | − | 0.328318i | ||||
\(663\) | 26.6723 | + | 0.203403i | 1.03587 | + | 0.00789950i | ||||
\(664\) | −0.902431 | − | 0.293218i | −0.0350211 | − | 0.0113790i | ||||
\(665\) | −1.06632 | − | 0.761187i | −0.0413503 | − | 0.0295176i | ||||
\(666\) | 9.29975 | − | 27.2028i | 0.360358 | − | 1.05409i | ||||
\(667\) | 3.05392 | + | 0.483694i | 0.118248 | + | 0.0187287i | ||||
\(668\) | −6.46075 | − | 6.46075i | −0.249974 | − | 0.249974i | ||||
\(669\) | 1.68756 | − | 3.25051i | 0.0652449 | − | 0.125672i | ||||
\(670\) | 29.3069 | + | 4.39087i | 1.13223 | + | 0.169634i | ||||
\(671\) | 0.233477 | − | 0.321353i | 0.00901327 | − | 0.0124057i | ||||
\(672\) | −1.01503 | − | 1.41972i | −0.0391558 | − | 0.0547668i | ||||
\(673\) | 17.0242 | + | 33.4118i | 0.656234 | + | 1.28793i | 0.943910 | + | 0.330204i | \(0.107117\pi\) |
−0.287676 | + | 0.957728i | \(0.592883\pi\) | |||||||
\(674\) | 20.7536 | 0.799398 | ||||||||
\(675\) | 20.9245 | + | 15.4001i | 0.805385 | + | 0.592752i | ||||
\(676\) | 6.12860 | 0.235715 | ||||||||
\(677\) | 13.6443 | + | 26.7784i | 0.524391 | + | 1.02918i | 0.989583 | + | 0.143966i | \(0.0459855\pi\) |
−0.465192 | + | 0.885210i | \(0.654015\pi\) | |||||||
\(678\) | 13.7051 | + | 19.1691i | 0.526340 | + | 0.736185i | ||||
\(679\) | 10.6662 | − | 14.6808i | 0.409333 | − | 0.563399i | ||||
\(680\) | 9.36614 | + | 9.21079i | 0.359175 | + | 0.353218i | ||||
\(681\) | 12.3606 | − | 23.8085i | 0.473660 | − | 0.912343i | ||||
\(682\) | −0.757684 | − | 0.757684i | −0.0290132 | − | 0.0290132i | ||||
\(683\) | −32.9389 | − | 5.21701i | −1.26037 | − | 0.199623i | −0.509731 | − | 0.860334i | \(-0.670255\pi\) |
−0.750640 | + | 0.660711i | \(0.770255\pi\) | |||||||
\(684\) | 0.564301 | − | 1.65064i | 0.0215766 | − | 0.0631140i | ||||
\(685\) | 15.6447 | − | 11.5676i | 0.597752 | − | 0.441976i | ||||
\(686\) | −12.4433 | − | 4.04307i | −0.475087 | − | 0.154365i | ||||
\(687\) | −2.86222 | − | 0.0218273i | −0.109201 | − | 0.000832763i | ||||
\(688\) | 9.05378 | + | 4.61313i | 0.345172 | + | 0.175874i | ||||
\(689\) | 7.15707 | − | 22.0272i | 0.272663 | − | 0.839169i | ||||
\(690\) | 23.4497 | + | 11.9265i | 0.892716 | + | 0.454034i | ||||
\(691\) | 0.495555 | + | 1.52516i | 0.0188518 | + | 0.0580199i | 0.960040 | − | 0.279863i | \(-0.0902891\pi\) |
−0.941188 | + | 0.337883i | \(0.890289\pi\) | |||||||
\(692\) | −1.44171 | + | 9.10259i | −0.0548055 | + | 0.346028i | ||||
\(693\) | 1.09545 | − | 0.156416i | 0.0416128 | − | 0.00594175i | ||||
\(694\) | 4.38081 | + | 6.02967i | 0.166293 | + | 0.228883i | ||||
\(695\) | 4.79841 | − | 4.87934i | 0.182014 | − | 0.185084i | ||||
\(696\) | −0.129268 | + | 0.777736i | −0.00489991 | + | 0.0294800i | ||||
\(697\) | 9.75164 | + | 61.5694i | 0.369370 | + | 2.33211i | ||||
\(698\) | 14.3490 | − | 7.31117i | 0.543117 | − | 0.276732i | ||||
\(699\) | −13.5272 | − | 27.0568i | −0.511646 | − | 1.02338i | ||||
\(700\) | 3.62155 | + | 3.50240i | 0.136882 | + | 0.132378i | ||||
\(701\) | 17.1529i | 0.647855i | 0.946082 | + | 0.323928i | \(0.105003\pi\) | ||||
−0.946082 | + | 0.323928i | \(0.894997\pi\) | |||||||
\(702\) | 3.91164 | + | 13.0471i | 0.147635 | + | 0.492431i | ||||
\(703\) | 5.50363 | − | 0.871689i | 0.207573 | − | 0.0328764i | ||||
\(704\) | −0.296153 | − | 0.215168i | −0.0111617 | − | 0.00810943i | ||||
\(705\) | −30.4324 | + | 9.91287i | −1.14615 | + | 0.373340i | ||||
\(706\) | 0.350143 | − | 0.254394i | 0.0131778 | − | 0.00957423i | ||||
\(707\) | −0.258165 | + | 0.258165i | −0.00970931 | + | 0.00970931i | ||||
\(708\) | −4.92346 | − | 15.5555i | −0.185035 | − | 0.584611i | ||||
\(709\) | 43.3999 | − | 14.1015i | 1.62992 | − | 0.529592i | 0.655664 | − | 0.755052i | \(-0.272389\pi\) |
0.974252 | + | 0.225460i | \(0.0723886\pi\) | |||||||
\(710\) | 1.67067 | − | 2.34039i | 0.0626991 | − | 0.0878332i | ||||
\(711\) | 21.0654 | + | 29.9440i | 0.790015 | + | 1.12299i | ||||
\(712\) | 0.920240 | − | 1.80607i | 0.0344875 | − | 0.0676855i | ||||
\(713\) | −9.02694 | + | 17.7164i | −0.338062 | + | 0.663483i | ||||
\(714\) | −1.52664 | − | 10.1386i | −0.0571329 | − | 0.379428i | ||||
\(715\) | 2.03505 | − | 0.680094i | 0.0761066 | − | 0.0254341i | ||||
\(716\) | 12.8509 | − | 4.17551i | 0.480261 | − | 0.156046i | ||||
\(717\) | −10.5505 | + | 3.33932i | −0.394014 | + | 0.124709i | ||||
\(718\) | 0.156397 | − | 0.156397i | 0.00583669 | − | 0.00583669i | ||||
\(719\) | 18.8277 | − | 13.6791i | 0.702155 | − | 0.510145i | −0.178478 | − | 0.983944i | \(-0.557117\pi\) |
0.880633 | + | 0.473798i | \(0.157117\pi\) | |||||||
\(720\) | −3.08657 | + | 5.95593i | −0.115030 | + | 0.221964i | ||||
\(721\) | −6.46780 | − | 4.69913i | −0.240874 | − | 0.175005i | ||||
\(722\) | −18.4321 | + | 2.91936i | −0.685973 | + | 0.108647i | ||||
\(723\) | −19.7915 | + | 26.8083i | −0.736053 | + | 0.997012i | ||||
\(724\) | − | 16.1891i | − | 0.601664i | ||||||
\(725\) | −0.0380628 | − | 2.27561i | −0.00141362 | − | 0.0845142i | ||||
\(726\) | −16.8338 | + | 8.41618i | −0.624762 | + | 0.312354i | ||||
\(727\) | 24.2957 | − | 12.3793i | 0.901077 | − | 0.459122i | 0.0588635 | − | 0.998266i | \(-0.481252\pi\) |
0.842213 | + | 0.539144i | \(0.181252\pi\) | |||||||
\(728\) | 0.413192 | + | 2.60879i | 0.0153139 | + | 0.0966882i | ||||
\(729\) | 22.5465 | − | 14.8545i | 0.835055 | − | 0.550166i | ||||
\(730\) | 9.84870 | + | 18.9360i | 0.364517 | + | 0.700853i | ||||
\(731\) | 35.0879 | + | 48.2943i | 1.29777 | + | 1.78623i | ||||
\(732\) | 0.594391 | − | 1.78297i | 0.0219693 | − | 0.0659004i | ||||
\(733\) | −0.915975 | + | 5.78324i | −0.0338323 | + | 0.213609i | −0.998813 | − | 0.0487128i | \(-0.984488\pi\) |
0.964981 | + | 0.262322i | \(0.0844881\pi\) | |||||||
\(734\) | −5.16046 | − | 15.8823i | −0.190476 | − | 0.586225i | ||||
\(735\) | 3.64280 | + | 22.8906i | 0.134367 | + | 0.844333i | ||||
\(736\) | −2.09909 | + | 6.46034i | −0.0773735 | + | 0.238131i | ||||
\(737\) | −4.32260 | − | 2.20247i | −0.159225 | − | 0.0811292i | ||||
\(738\) | −28.5805 | + | 14.0176i | −1.05206 | + | 0.515995i | ||||
\(739\) | 10.9906 | + | 3.57105i | 0.404295 | + | 0.131363i | 0.504103 | − | 0.863643i | \(-0.331823\pi\) |
−0.0998086 | + | 0.995007i | \(0.531823\pi\) | |||||||
\(740\) | −21.4272 | + | 0.179187i | −0.787678 | + | 0.00658705i | ||||
\(741\) | −1.88100 | + | 1.85253i | −0.0691003 | + | 0.0680544i | ||||
\(742\) | −8.79319 | − | 1.39270i | −0.322808 | − | 0.0511278i | ||||
\(743\) | 5.09866 | + | 5.09866i | 0.187052 | + | 0.187052i | 0.794420 | − | 0.607369i | \(-0.207775\pi\) |
−0.607369 | + | 0.794420i | \(0.707775\pi\) | |||||||
\(744\) | −4.49969 | − | 2.33610i | −0.164967 | − | 0.0856456i | ||||
\(745\) | −5.84885 | + | 11.7203i | −0.214285 | + | 0.429398i | ||||
\(746\) | 0.0621022 | − | 0.0854763i | 0.00227372 | − | 0.00312951i | ||||
\(747\) | 1.33087 | − | 2.51635i | 0.0486939 | − | 0.0920684i | ||||
\(748\) | −0.976324 | − | 1.91614i | −0.0356980 | − | 0.0700612i | ||||
\(749\) | −12.9231 | −0.472200 | ||||||||
\(750\) | 5.66160 | − | 18.5188i | 0.206733 | − | 0.676211i | ||||
\(751\) | −19.8804 | −0.725445 | −0.362723 | − | 0.931897i | \(-0.618153\pi\) | ||||
−0.362723 | + | 0.931897i | \(0.618153\pi\) | |||||||
\(752\) | −3.75176 | − | 7.36324i | −0.136813 | − | 0.268510i | ||||
\(753\) | 14.3503 | − | 10.2598i | 0.522954 | − | 0.373889i | ||||
\(754\) | 0.701343 | − | 0.965316i | 0.0255414 | − | 0.0351547i | ||||
\(755\) | −3.64413 | + | 7.30234i | −0.132624 | + | 0.265759i | ||||
\(756\) | 4.71824 | − | 2.26964i | 0.171601 | − | 0.0825460i | ||||
\(757\) | −16.4335 | − | 16.4335i | −0.597285 | − | 0.597285i | 0.342304 | − | 0.939589i | \(-0.388793\pi\) |
−0.939589 | + | 0.342304i | \(0.888793\pi\) | |||||||
\(758\) | 9.72147 | + | 1.53973i | 0.353100 | + | 0.0559255i | ||||
\(759\) | −3.02214 | − | 3.06859i | −0.109697 | − | 0.111383i | ||||
\(760\) | −1.30018 | + | 0.0108729i | −0.0471625 | + | 0.000394402i | ||||
\(761\) | 4.02479 | + | 1.30773i | 0.145898 | + | 0.0474052i | 0.381056 | − | 0.924552i | \(-0.375561\pi\) |
−0.235157 | + | 0.971957i | \(0.575561\pi\) | |||||||
\(762\) | −0.260510 | + | 34.1608i | −0.00943729 | + | 1.23752i | ||||
\(763\) | −4.09408 | − | 2.08604i | −0.148216 | − | 0.0755197i | ||||
\(764\) | 4.77202 | − | 14.6868i | 0.172646 | − | 0.531349i | ||||
\(765\) | −32.0414 | + | 22.9438i | −1.15846 | + | 0.829536i | ||||
\(766\) | −10.2830 | − | 31.6480i | −0.371542 | − | 1.14349i | ||||
\(767\) | −3.86287 | + | 24.3892i | −0.139480 | + | 0.880642i | ||||
\(768\) | −1.64315 | − | 0.547779i | −0.0592920 | − | 0.0197663i | ||||
\(769\) | 4.46592 | + | 6.14681i | 0.161045 | + | 0.221660i | 0.881912 | − | 0.471414i | \(-0.156256\pi\) |
−0.720867 | + | 0.693073i | \(0.756256\pi\) | |||||||
\(770\) | −0.380576 | − | 0.731730i | −0.0137150 | − | 0.0263697i | ||||
\(771\) | −3.93406 | − | 0.653884i | −0.141682 | − | 0.0235491i | ||||
\(772\) | 1.33931 | + | 8.45606i | 0.0482028 | + | 0.304340i | ||||
\(773\) | −12.3217 | + | 6.27822i | −0.443181 | + | 0.225812i | −0.661317 | − | 0.750106i | \(-0.730002\pi\) |
0.218136 | + | 0.975918i | \(0.430002\pi\) | |||||||
\(774\) | −18.2920 | + | 24.3858i | −0.657493 | + | 0.876531i | ||||
\(775\) | 13.9931 | + | 4.28927i | 0.502648 | + | 0.154075i | ||||
\(776\) | − | 18.0093i | − | 0.646495i | ||||||
\(777\) | 13.4550 | + | 9.93329i | 0.482696 | + | 0.356355i | ||||
\(778\) | 33.0209 | − | 5.23000i | 1.18386 | − | 0.187505i | ||||
\(779\) | −4.99169 | − | 3.62668i | −0.178846 | − | 0.129939i | ||||
\(780\) | 8.20906 | − | 5.97347i | 0.293931 | − | 0.213885i | ||||
\(781\) | −0.380843 | + | 0.276698i | −0.0136276 | + | 0.00990105i | ||||
\(782\) | −28.2178 | + | 28.2178i | −1.00907 | + | 1.00907i | ||||
\(783\) | −2.23215 | − | 0.782159i | −0.0797704 | − | 0.0279521i | ||||
\(784\) | −5.69179 | + | 1.84937i | −0.203278 | + | 0.0660491i | ||||
\(785\) | −6.82332 | + | 2.28029i | −0.243535 | + | 0.0813869i | ||||
\(786\) | 18.5621 | − | 2.79501i | 0.662087 | − | 0.0996947i | ||||
\(787\) | −5.14950 | + | 10.1065i | −0.183560 | + | 0.360257i | −0.964389 | − | 0.264488i | \(-0.914797\pi\) |
0.780829 | + | 0.624745i | \(0.214797\pi\) | |||||||
\(788\) | −2.87578 | + | 5.64403i | −0.102445 | + | 0.201060i | ||||
\(789\) | 28.8151 | − | 4.33888i | 1.02584 | − | 0.154468i | ||||
\(790\) | 15.8546 | − | 22.2103i | 0.564082 | − | 0.790205i | ||||
\(791\) | −13.0377 | + | 4.23619i | −0.463566 | + | 0.150622i | ||||
\(792\) | 0.788294 | − | 0.764608i | 0.0280108 | − | 0.0271691i | ||||
\(793\) | −2.01129 | + | 2.01129i | −0.0714229 | + | 0.0714229i | ||||
\(794\) | 11.1056 | − | 8.06871i | 0.394124 | − | 0.286348i | ||||
\(795\) | 10.5984 | + | 32.5370i | 0.375887 | + | 1.15397i | ||||
\(796\) | −8.41187 | − | 6.11158i | −0.298151 | − | 0.216619i | ||||
\(797\) | −43.6682 | + | 6.91637i | −1.54681 | + | 0.244990i | −0.870701 | − | 0.491813i | \(-0.836334\pi\) |
−0.676107 | + | 0.736804i | \(0.736334\pi\) | |||||||
\(798\) | 0.816439 | + | 0.602743i | 0.0289016 | + | 0.0213369i | ||||
\(799\) | − | 48.5487i | − | 1.71753i | ||||||
\(800\) | 4.95083 | + | 0.699472i | 0.175038 | + | 0.0247301i | ||||
\(801\) | 4.86456 | + | 3.64894i | 0.171881 | + | 0.128929i | ||||
\(802\) | 7.68961 | − | 3.91805i | 0.271529 | − | 0.138351i | ||||
\(803\) | −0.546616 | − | 3.45120i | −0.0192897 | − | 0.121790i | ||||
\(804\) | −22.6438 | − | 3.76365i | −0.798585 | − | 0.132734i | ||||
\(805\) | −10.7313 | + | 10.9123i | −0.378229 | + | 0.384609i | ||||
\(806\) | 4.51010 | + | 6.20762i | 0.158862 | + | 0.218654i | ||||
\(807\) | 9.85763 | + | 3.28626i | 0.347005 | + | 0.115682i | ||||
\(808\) | −0.0566825 | + | 0.357879i | −0.00199408 | + | 0.0125901i | ||||
\(809\) | 6.33598 | + | 19.5001i | 0.222761 | + | 0.685589i | 0.998511 | + | 0.0545481i | \(0.0173718\pi\) |
−0.775750 | + | 0.631040i | \(0.782628\pi\) | |||||||
\(810\) | −16.0153 | − | 12.1865i | −0.562720 | − | 0.428190i | ||||
\(811\) | −14.2198 | + | 43.7640i | −0.499324 | + | 1.53676i | 0.310785 | + | 0.950480i | \(0.399408\pi\) |
−0.810108 | + | 0.586280i | \(0.800592\pi\) | |||||||
\(812\) | −0.408664 | − | 0.208225i | −0.0143413 | − | 0.00730726i | ||||
\(813\) | 0.163646 | − | 21.4590i | 0.00573933 | − | 0.752601i | ||||
\(814\) | 3.33626 | + | 1.08402i | 0.116936 | + | 0.0379947i | ||||
\(815\) | 6.65033 | − | 4.91724i | 0.232951 | − | 0.172243i | ||||
\(816\) | −7.13999 | − | 7.24973i | −0.249950 | − | 0.253791i | ||||
\(817\) | −5.83584 | − | 0.924305i | −0.204170 | − | 0.0323374i | ||||
\(818\) | 19.3241 | + | 19.3241i | 0.675650 | + | 0.675650i | ||||
\(819\) | −7.92301 | − | 0.120849i | −0.276852 | − | 0.00422279i | ||||
\(820\) | 16.9172 | + | 16.6366i | 0.590773 | + | 0.580974i | ||||
\(821\) | 5.32407 | − | 7.32795i | 0.185811 | − | 0.255747i | −0.705942 | − | 0.708270i | \(-0.749476\pi\) |
0.891753 | + | 0.452523i | \(0.149476\pi\) | |||||||
\(822\) | −12.2600 | + | 8.76535i | −0.427617 | + | 0.305727i | ||||
\(823\) | −21.6070 | − | 42.4061i | −0.753173 | − | 1.47819i | −0.874216 | − | 0.485538i | \(-0.838624\pi\) |
0.121042 | − | 0.992647i | \(-0.461376\pi\) | |||||||
\(824\) | −7.93419 | −0.276401 | ||||||||
\(825\) | −1.83999 | + | 2.58161i | −0.0640603 | + | 0.0898800i | ||||
\(826\) | 9.49186 | 0.330264 | ||||||||
\(827\) | 21.7292 | + | 42.6460i | 0.755599 | + | 1.48295i | 0.871875 | + | 0.489729i | \(0.162904\pi\) |
−0.116276 | + | 0.993217i | \(0.537096\pi\) | |||||||
\(828\) | −18.0141 | − | 9.52744i | −0.626032 | − | 0.331101i | ||||
\(829\) | −8.53245 | + | 11.7439i | −0.296344 | + | 0.407883i | −0.931062 | − | 0.364861i | \(-0.881116\pi\) |
0.634718 | + | 0.772744i | \(0.281116\pi\) | |||||||
\(830\) | −2.09832 | − | 0.314378i | −0.0728338 | − | 0.0109122i | ||||
\(831\) | 9.48547 | + | 4.92456i | 0.329047 | + | 0.170831i | ||||
\(832\) | 1.85356 | + | 1.85356i | 0.0642608 | + | 0.0642608i | ||||
\(833\) | −34.7258 | − | 5.50002i | −1.20318 | − | 0.190564i | ||||
\(834\) | −3.77678 | + | 3.71962i | −0.130779 | + | 0.128800i | ||||
\(835\) | −16.6286 | − | 11.8702i | −0.575457 | − | 0.410786i | ||||
\(836\) | 0.202441 | + | 0.0657771i | 0.00700157 | + | 0.00227495i | ||||
\(837\) | 9.21931 | − | 12.0974i | 0.318666 | − | 0.418146i | ||||
\(838\) | −22.9478 | − | 11.6925i | −0.792719 | − | 0.403910i | ||||
\(839\) | 1.29678 | − | 3.99108i | 0.0447698 | − | 0.137787i | −0.926173 | − | 0.377099i | \(-0.876922\pi\) |
0.970943 | + | 0.239311i | \(0.0769217\pi\) | |||||||
\(840\) | −2.76151 | − | 2.75745i | −0.0952812 | − | 0.0951410i | ||||
\(841\) | −8.89747 | − | 27.3836i | −0.306809 | − | 0.944262i | ||||
\(842\) | 5.53008 | − | 34.9156i | 0.190579 | − | 1.20327i | ||||
\(843\) | 4.92756 | − | 14.7810i | 0.169714 | − | 0.509084i | ||||
\(844\) | 2.14858 | + | 2.95727i | 0.0739572 | + | 0.101793i | ||||
\(845\) | 13.5168 | − | 2.25688i | 0.464993 | − | 0.0776391i | ||||
\(846\) | 23.6926 | − | 7.30062i | 0.814568 | − | 0.251001i | ||||
\(847\) | −1.71277 | − | 10.8140i | −0.0588514 | − | 0.371573i | ||||
\(848\) | −7.87247 | + | 4.01122i | −0.270342 | + | 0.137746i | ||||
\(849\) | 20.3071 | − | 10.1527i | 0.696938 | − | 0.348439i | ||||
\(850\) | 24.0493 | + | 16.8656i | 0.824884 | + | 0.578486i | ||||
\(851\) | − | 65.0944i | − | 2.23141i | ||||||
\(852\) | −1.32291 | + | 1.79194i | −0.0453223 | + | 0.0613907i | ||||
\(853\) | −53.4919 | + | 8.47229i | −1.83153 | + | 0.290086i | −0.974367 | − | 0.224963i | \(-0.927774\pi\) |
−0.857161 | + | 0.515049i | \(0.827774\pi\) | |||||||
\(854\) | 0.884547 | + | 0.642661i | 0.0302686 | + | 0.0219914i | ||||
\(855\) | 0.636728 | − | 3.84836i | 0.0217756 | − | 0.131611i | ||||
\(856\) | −10.3760 | + | 7.53857i | −0.354643 | + | 0.257663i | ||||
\(857\) | 25.7274 | − | 25.7274i | 0.878831 | − | 0.878831i | −0.114583 | − | 0.993414i | \(-0.536553\pi\) |
0.993414 | + | 0.114583i | \(0.0365532\pi\) | |||||||
\(858\) | −1.58456 | + | 0.501530i | −0.0540961 | + | 0.0171219i | ||||
\(859\) | −6.06408 | + | 1.97034i | −0.206904 | + | 0.0672271i | −0.410635 | − | 0.911800i | \(-0.634693\pi\) |
0.203731 | + | 0.979027i | \(0.434693\pi\) | |||||||
\(860\) | 21.6672 | + | 6.84033i | 0.738847 | + | 0.233253i | ||||
\(861\) | −2.75742 | − | 18.3124i | −0.0939725 | − | 0.624084i | ||||
\(862\) | 15.4283 | − | 30.2798i | 0.525491 | − | 1.03133i | ||||
\(863\) | −21.0090 | + | 41.2325i | −0.715155 | + | 1.40357i | 0.191412 | + | 0.981510i | \(0.438693\pi\) |
−0.906567 | + | 0.422062i | \(0.861307\pi\) | |||||||
\(864\) | 2.46430 | − | 4.57463i | 0.0838370 | − | 0.155632i | ||||
\(865\) | 0.172328 | + | 20.6070i | 0.00585934 | + | 0.700659i | ||||
\(866\) | −18.1405 | + | 5.89422i | −0.616440 | + | 0.200294i | ||||
\(867\) | −9.15310 | − | 28.9189i | −0.310855 | − | 0.982137i | ||||
\(868\) | 2.08558 | − | 2.08558i | 0.0707892 | − | 0.0707892i | ||||
\(869\) | −3.61419 | + | 2.62586i | −0.122603 | + | 0.0890763i | ||||
\(870\) | 0.00129852 | + | 1.76293i | 4.40239e−5 | + | 0.0597689i | ||||
\(871\) | 28.1052 | + | 20.4196i | 0.952308 | + | 0.691892i | ||||
\(872\) | −4.50400 | + | 0.713364i | −0.152525 | + | 0.0241576i | ||||
\(873\) | 53.2276 | + | 9.26467i | 1.80148 | + | 0.313562i | ||||
\(874\) | − | 3.94987i | − | 0.133606i | ||||||
\(875\) | 9.27724 | + | 6.39101i | 0.313628 | + | 0.216056i | ||||
\(876\) | −7.39329 | − | 14.7879i | −0.249796 | − | 0.499635i | ||||
\(877\) | 51.8670 | − | 26.4275i | 1.75142 | − | 0.892395i | 0.791955 | − | 0.610580i | \(-0.209064\pi\) |
0.959469 | − | 0.281815i | \(-0.0909364\pi\) | |||||||
\(878\) | −5.53519 | − | 34.9478i | −0.186804 | − | 1.17943i | ||||
\(879\) | −3.82737 | + | 23.0272i | −0.129094 | + | 0.776687i | ||||
\(880\) | −0.732412 | − | 0.365500i | −0.0246896 | − | 0.0123210i | ||||
\(881\) | 13.4206 | + | 18.4718i | 0.452151 | + | 0.622332i | 0.972858 | − | 0.231403i | \(-0.0743317\pi\) |
−0.520707 | + | 0.853735i | \(0.674332\pi\) | |||||||
\(882\) | −2.53787 | − | 17.7738i | −0.0854544 | − | 0.598476i | ||||
\(883\) | −8.64665 | + | 54.5928i | −0.290983 | + | 1.83719i | 0.217425 | + | 0.976077i | \(0.430234\pi\) |
−0.508408 | + | 0.861116i | \(0.669766\pi\) | |||||||
\(884\) | 4.75877 | + | 14.6460i | 0.160055 | + | 0.492597i | ||||
\(885\) | −16.5872 | − | 32.4951i | −0.557574 | − | 1.09231i | ||||
\(886\) | 4.47927 | − | 13.7858i | 0.150484 | − | 0.463142i | ||||
\(887\) | 20.4932 | + | 10.4418i | 0.688093 | + | 0.350601i | 0.762827 | − | 0.646603i | \(-0.223811\pi\) |
−0.0747341 | + | 0.997203i | \(0.523811\pi\) | |||||||
\(888\) | 16.5975 | + | 0.126572i | 0.556976 | + | 0.00424749i | ||||
\(889\) | −18.9009 | − | 6.14128i | −0.633917 | − | 0.205972i | ||||
\(890\) | 1.36453 | − | 4.32224i | 0.0457391 | − | 0.144882i | ||||
\(891\) | 1.85432 | + | 2.72320i | 0.0621220 | + | 0.0912305i | ||||
\(892\) | 2.08849 | + | 0.330785i | 0.0699279 | + | 0.0110755i | ||||
\(893\) | 3.39787 | + | 3.39787i | 0.113706 | + | 0.113706i | ||||
\(894\) | 4.67506 | − | 9.00490i | 0.156358 | − | 0.301169i | ||||
\(895\) | 26.8055 | − | 13.9416i | 0.896009 | − | 0.466018i | ||||
\(896\) | 0.592264 | − | 0.815182i | 0.0197862 | − | 0.0272333i | ||||
\(897\) | 17.9372 | + | 25.0886i | 0.598907 | + | 0.837685i | ||||
\(898\) | 4.30358 | + | 8.44624i | 0.143612 | + | 0.281855i | ||||
\(899\) | −1.33240 | −0.0444380 | ||||||||
\(900\) | −4.61423 | + | 14.2727i | −0.153808 | + | 0.475755i | ||||
\(901\) | −51.9062 | −1.72925 | ||||||||
\(902\) | −1.76344 | − | 3.46095i | −0.0587161 | − | 0.115237i | ||||
\(903\) | −10.3141 | − | 14.4262i | −0.343231 | − | 0.480073i | ||||
\(904\) | −7.99679 | + | 11.0066i | −0.265969 | + | 0.366075i | ||||
\(905\) | −5.96172 | − | 35.7057i | −0.198174 | − | 1.18690i | ||||
\(906\) | 2.91280 | − | 5.61051i | 0.0967714 | − | 0.186397i | ||||
\(907\) | −26.0875 | − | 26.0875i | −0.866221 | − | 0.866221i | 0.125831 | − | 0.992052i | \(-0.459840\pi\) |
−0.992052 | + | 0.125831i | \(0.959840\pi\) | |||||||
\(908\) | 15.2973 | + | 2.42285i | 0.507657 | + | 0.0804050i | ||||
\(909\) | −1.02857 | − | 0.351635i | −0.0341157 | − | 0.0116630i | ||||
\(910\) | 1.87201 | + | 5.60162i | 0.0620565 | + | 0.185692i | ||||
\(911\) | −20.1733 | − | 6.55470i | −0.668371 | − | 0.217167i | −0.0448740 | − | 0.998993i | \(-0.514289\pi\) |
−0.623497 | + | 0.781826i | \(0.714289\pi\) | |||||||
\(912\) | 1.00712 | + | 0.00768031i | 0.0333491 | + | 0.000254320i | ||||
\(913\) | 0.309490 | + | 0.157693i | 0.0102426 | + | 0.00521888i | ||||
\(914\) | −11.1374 | + | 34.2775i | −0.368393 | + | 1.13380i | ||||
\(915\) | 0.654365 | − | 4.15129i | 0.0216326 | − | 0.137237i | ||||
\(916\) | −0.510667 | − | 1.57167i | −0.0168729 | − | 0.0519295i | ||||
\(917\) | −1.70830 | + | 10.7858i | −0.0564129 | + | 0.356177i | ||||
\(918\) | 25.1001 | − | 17.3732i | 0.828427 | − | 0.573399i | ||||
\(919\) | −20.7352 | − | 28.5396i | −0.683991 | − | 0.941433i | 0.315982 | − | 0.948765i | \(-0.397666\pi\) |
−0.999973 | + | 0.00733203i | \(0.997666\pi\) | |||||||
\(920\) | −2.25057 | + | 15.0215i | −0.0741992 | + | 0.495244i | ||||
\(921\) | −5.39071 | + | 32.4329i | −0.177630 | + | 1.06870i | ||||
\(922\) | 3.52556 | + | 22.2595i | 0.116108 | + | 0.733079i | ||||
\(923\) | 3.00354 | − | 1.53038i | 0.0988627 | − | 0.0503731i | ||||
\(924\) | 0.285694 | + | 0.571436i | 0.00939863 | + | 0.0187989i | ||||
\(925\) | −47.1924 | + | 8.28585i | −1.55168 | + | 0.272437i | ||||
\(926\) | − | 5.67112i | − | 0.186364i | ||||||
\(927\) | 4.08165 | − | 23.4500i | 0.134059 | − | 0.770199i | ||||
\(928\) | −0.449582 | + | 0.0712068i | −0.0147583 | + | 0.00233748i | ||||
\(929\) | 34.9866 | + | 25.4192i | 1.14787 | + | 0.833978i | 0.988197 | − | 0.153191i | \(-0.0489551\pi\) |
0.159676 | + | 0.987169i | \(0.448955\pi\) | |||||||
\(930\) | −10.7845 | − | 3.49532i | −0.353638 | − | 0.114616i | ||||
\(931\) | 2.81536 | − | 2.04548i | 0.0922698 | − | 0.0670379i | ||||
\(932\) | 12.3494 | − | 12.3494i | 0.404520 | − | 0.404520i | ||||
\(933\) | −11.1876 | − | 35.3467i | −0.366264 | − | 1.15720i | ||||
\(934\) | 11.0544 | − | 3.59181i | 0.361713 | − | 0.117528i | ||||
\(935\) | −2.85895 | − | 3.86659i | −0.0934976 | − | 0.126451i | ||||
\(936\) | −6.43187 | + | 4.52478i | −0.210232 | + | 0.147897i | ||||
\(937\) | −11.3158 | + | 22.2086i | −0.369672 | + | 0.725523i | −0.998652 | − | 0.0518988i | \(-0.983473\pi\) |
0.628980 | + | 0.777421i | \(0.283473\pi\) | |||||||
\(938\) | 6.06247 | − | 11.8983i | 0.197947 | − | 0.388492i | ||||
\(939\) | 3.29377 | + | 21.8744i | 0.107488 | + | 0.713844i | ||||
\(940\) | −10.9862 | − | 14.8583i | −0.358330 | − | 0.484624i | ||||
\(941\) | −0.769225 | + | 0.249936i | −0.0250760 | + | 0.00814769i | −0.321528 | − | 0.946900i | \(-0.604196\pi\) |
0.296452 | + | 0.955048i | \(0.404196\pi\) | |||||||
\(942\) | 5.31288 | − | 1.68158i | 0.173103 | − | 0.0547887i | ||||
\(943\) | −50.9671 | + | 50.9671i | −1.65972 | + | 1.65972i | ||||
\(944\) | 7.62100 | − | 5.53698i | 0.248043 | − | 0.180213i | ||||
\(945\) | 9.57044 | − | 6.74329i | 0.311326 | − | 0.219359i | ||||
\(946\) | −3.00929 | − | 2.18638i | −0.0978406 | − | 0.0710854i | ||||
\(947\) | −11.9668 | + | 1.89535i | −0.388868 | + | 0.0615907i | −0.347808 | − | 0.937566i | \(-0.613074\pi\) |
−0.0410609 | + | 0.999157i | \(0.513074\pi\) | |||||||
\(948\) | −12.5544 | + | 17.0054i | −0.407749 | + | 0.552311i | ||||
\(949\) | 25.0216i | 0.812235i | ||||||||
\(950\) | −2.86359 | + | 0.502778i | −0.0929072 | + | 0.0163123i | ||||
\(951\) | 42.9593 | − | 21.4778i | 1.39305 | − | 0.696466i | ||||
\(952\) | 5.27432 | − | 2.68740i | 0.170942 | − | 0.0870992i | ||||
\(953\) | −2.11321 | − | 13.3423i | −0.0684536 | − | 0.432199i | −0.997985 | − | 0.0634554i | \(-0.979788\pi\) |
0.929531 | − | 0.368744i | \(-0.120212\pi\) | |||||||
\(954\) | −7.80552 | − | 25.3311i | −0.252713 | − | 0.820125i | ||||
\(955\) | 5.11640 | − | 34.1495i | 0.165563 | − | 1.10505i | ||||
\(956\) | −3.75544 | − | 5.16892i | −0.121460 | − | 0.167175i | ||||
\(957\) | 0.0912752 | − | 0.273794i | 0.00295051 | − | 0.00885051i | ||||
\(958\) | 0.426186 | − | 2.69083i | 0.0137694 | − | 0.0869368i | ||||
\(959\) | −2.70935 | − | 8.33851i | −0.0874893 | − | 0.269264i | ||||
\(960\) | −3.82575 | − | 0.603050i | −0.123475 | − | 0.0194634i | ||||
\(961\) | −6.93181 | + | 21.3339i | −0.223607 | + | 0.688190i | ||||
\(962\) | −22.3820 | − | 11.4042i | −0.721624 | − | 0.367686i | ||||
\(963\) | −16.9429 | − | 34.5449i | −0.545978 | − | 1.11319i | ||||
\(964\) | −18.2971 | − | 5.94510i | −0.589311 | − | 0.191479i | ||||
\(965\) | 6.06787 | + | 18.1569i | 0.195332 | + | 0.584493i | ||||
\(966\) | 8.44652 | − | 8.31867i | 0.271762 | − | 0.267649i | ||||
\(967\) | −11.0440 | − | 1.74919i | −0.355150 | − | 0.0562502i | −0.0236894 | − | 0.999719i | \(-0.507541\pi\) |
−0.331460 | + | 0.943469i | \(0.607541\pi\) | |||||||
\(968\) | −7.68342 | − | 7.68342i | −0.246954 | − | 0.246954i | ||||
\(969\) | 5.25124 | + | 2.72628i | 0.168694 | + | 0.0875806i | ||||
\(970\) | −6.63200 | − | 39.7201i | −0.212941 | − | 1.27534i | ||||
\(971\) | −15.8802 | + | 21.8573i | −0.509621 | + | 0.701434i | −0.983855 | − | 0.178965i | \(-0.942725\pi\) |
0.474234 | + | 0.880399i | \(0.342725\pi\) | |||||||
\(972\) | 12.2529 | + | 9.63675i | 0.393011 | + | 0.309099i | ||||
\(973\) | −1.40002 | − | 2.74769i | −0.0448825 | − | 0.0880868i | ||||
\(974\) | 27.1112 | 0.868699 | ||||||||
\(975\) | 15.9056 | − | 16.1977i | 0.509387 | − | 0.518743i | ||||
\(976\) | 1.08509 | 0.0347330 | ||||||||
\(977\) | −11.9623 | − | 23.4774i | −0.382709 | − | 0.751109i | 0.616638 | − | 0.787247i | \(-0.288494\pi\) |
−0.999347 | + | 0.0361382i | \(0.988494\pi\) | |||||||
\(978\) | −5.21156 | + | 3.72603i | −0.166647 | + | 0.119145i | ||||
\(979\) | −0.436145 | + | 0.600303i | −0.0139393 | + | 0.0191858i | ||||
\(980\) | −11.8724 | + | 6.17489i | −0.379250 | + | 0.197250i | ||||
\(981\) | 0.208642 | − | 13.6789i | 0.00666142 | − | 0.436732i | ||||
\(982\) | 27.9010 | + | 27.9010i | 0.890357 | + | 0.890357i | ||||
\(983\) | 42.8297 | + | 6.78356i | 1.36606 | + | 0.216362i | 0.796026 | − | 0.605263i | \(-0.206932\pi\) |
0.570029 | + | 0.821624i | \(0.306932\pi\) | |||||||
\(984\) | −12.8963 | − | 13.0945i | −0.411118 | − | 0.417437i | ||||
\(985\) | −4.26419 | + | 13.5071i | −0.135868 | + | 0.430373i | ||||
\(986\) | −2.54323 | − | 0.826344i | −0.0809928 | − | 0.0263162i | ||||
\(987\) | −0.109984 | + | 14.4222i | −0.00350083 | + | 0.459065i | ||||
\(988\) | −1.35812 | − | 0.691996i | −0.0432075 | − | 0.0220153i | ||||
\(989\) | −21.3295 | + | 65.6454i | −0.678238 | + | 2.08740i | ||||
\(990\) | 1.45704 | − | 1.97666i | 0.0463078 | − | 0.0628224i | ||||
\(991\) | −10.2129 | − | 31.4322i | −0.324424 | − | 0.998476i | −0.971700 | − | 0.236220i | \(-0.924092\pi\) |
0.647275 | − | 0.762256i | \(-0.275908\pi\) | |||||||
\(992\) | 0.457907 | − | 2.89111i | 0.0145386 | − | 0.0917929i | ||||
\(993\) | 30.5741 | + | 10.1926i | 0.970241 | + | 0.323451i | ||||
\(994\) | −0.761632 | − | 1.04830i | −0.0241575 | − | 0.0332500i | ||||
\(995\) | −20.8033 | − | 10.3816i | −0.659509 | − | 0.329119i | ||||
\(996\) | 1.62125 | + | 0.269470i | 0.0513713 | + | 0.00853849i | ||||
\(997\) | −5.70379 | − | 36.0123i | −0.180641 | − | 1.14052i | −0.896752 | − | 0.442534i | \(-0.854080\pi\) |
0.716111 | − | 0.697986i | \(-0.245920\pi\) | |||||||
\(998\) | 10.0822 | − | 5.13714i | 0.319147 | − | 0.162613i | ||||
\(999\) | −8.91250 | + | 48.9899i | −0.281979 | + | 1.54997i |
(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 | 150.2.l.a.47.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.47.8 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.a.743.10 | 80 | |||
5.3 | odd | 4 | 750.2.l.c.743.1 | 80 | |||
5.4 | even | 2 | 750.2.l.b.257.8 | 80 | |||
15.2 | even | 4 | 750.2.l.a.743.1 | 80 | |||
15.8 | even | 4 | 750.2.l.c.743.10 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.257.3 | 80 | |||
25.6 | even | 5 | 750.2.l.c.107.10 | 80 | |||
25.8 | odd | 20 | inner | 150.2.l.a.83.8 | yes | 80 | |
25.17 | odd | 20 | 750.2.l.b.143.3 | 80 | |||
25.19 | even | 10 | 750.2.l.a.107.1 | 80 | |||
75.8 | even | 20 | inner | 150.2.l.a.83.3 | yes | 80 | |
75.17 | even | 20 | 750.2.l.b.143.8 | 80 | |||
75.44 | odd | 10 | 750.2.l.a.107.10 | 80 | |||
75.56 | odd | 10 | 750.2.l.c.107.1 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.47.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.47.8 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.83.3 | yes | 80 | 75.8 | even | 20 | inner | |
150.2.l.a.83.8 | yes | 80 | 25.8 | odd | 20 | inner | |
750.2.l.a.107.1 | 80 | 25.19 | even | 10 | |||
750.2.l.a.107.10 | 80 | 75.44 | odd | 10 | |||
750.2.l.a.743.1 | 80 | 15.2 | even | 4 | |||
750.2.l.a.743.10 | 80 | 5.2 | odd | 4 | |||
750.2.l.b.143.3 | 80 | 25.17 | odd | 20 | |||
750.2.l.b.143.8 | 80 | 75.17 | even | 20 | |||
750.2.l.b.257.3 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.257.8 | 80 | 5.4 | even | 2 | |||
750.2.l.c.107.1 | 80 | 75.56 | odd | 10 | |||
750.2.l.c.107.10 | 80 | 25.6 | even | 5 | |||
750.2.l.c.743.1 | 80 | 5.3 | odd | 4 | |||
750.2.l.c.743.10 | 80 | 15.8 | even | 4 |