Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (of order \(11\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 71.3 | ||
Character | \(\chi\) | \(=\) | 230.71 |
Dual form | 230.2.g.d.81.3 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | + | 0.540641i | 0.594856 | + | 0.382291i | ||||
\(3\) | 0.219067 | + | 1.52364i | 0.126478 | + | 0.879675i | 0.949969 | + | 0.312345i | \(0.101114\pi\) |
−0.823491 | + | 0.567330i | \(0.807976\pi\) | |||||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | 0.959493 | + | 0.281733i | 0.429098 | + | 0.125995i | ||||
\(6\) | −0.639452 | + | 1.40020i | −0.261055 | + | 0.571631i | ||||
\(7\) | 2.43457 | − | 2.80964i | 0.920180 | − | 1.06194i | −0.0777076 | − | 0.996976i | \(-0.524760\pi\) |
0.997887 | − | 0.0649679i | \(-0.0206945\pi\) | |||||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | 0.604987 | − | 0.177640i | 0.201662 | − | 0.0592134i | ||||
\(10\) | 0.654861 | + | 0.755750i | 0.207085 | + | 0.238989i | ||||
\(11\) | −4.65177 | + | 2.98951i | −1.40256 | + | 0.901372i | −0.999902 | − | 0.0139778i | \(-0.995551\pi\) |
−0.402660 | + | 0.915350i | \(0.631914\pi\) | |||||||
\(12\) | −1.29495 | + | 0.832213i | −0.373820 | + | 0.240239i | ||||
\(13\) | −1.67820 | − | 1.93674i | −0.465448 | − | 0.537155i | 0.473692 | − | 0.880691i | \(-0.342921\pi\) |
−0.939140 | + | 0.343535i | \(0.888376\pi\) | |||||||
\(14\) | 3.56709 | − | 1.04739i | 0.953346 | − | 0.279928i | ||||
\(15\) | −0.219067 | + | 1.52364i | −0.0565627 | + | 0.393402i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −2.39530 | + | 5.24499i | −0.580947 | + | 1.27210i | 0.359814 | + | 0.933024i | \(0.382840\pi\) |
−0.940760 | + | 0.339072i | \(0.889887\pi\) | |||||||
\(18\) | 0.604987 | + | 0.177640i | 0.142597 | + | 0.0418702i | ||||
\(19\) | −1.51918 | − | 3.32653i | −0.348523 | − | 0.763158i | −0.999990 | − | 0.00448153i | \(-0.998573\pi\) |
0.651467 | − | 0.758677i | \(-0.274154\pi\) | |||||||
\(20\) | 0.142315 | + | 0.989821i | 0.0318226 | + | 0.221331i | ||||
\(21\) | 4.81421 | + | 3.09391i | 1.05055 | + | 0.675146i | ||||
\(22\) | −5.52957 | −1.17891 | ||||||||
\(23\) | −2.11449 | − | 4.30452i | −0.440902 | − | 0.897555i | ||||
\(24\) | −1.53931 | −0.314210 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.364707 | − | 2.53659i | −0.0715249 | − | 0.497466i | ||||
\(27\) | 2.32155 | + | 5.08348i | 0.446782 | + | 0.978317i | ||||
\(28\) | 3.56709 | + | 1.04739i | 0.674117 | + | 0.197939i | ||||
\(29\) | 3.55230 | − | 7.77845i | 0.659645 | − | 1.44442i | −0.223207 | − | 0.974771i | \(-0.571653\pi\) |
0.882852 | − | 0.469650i | \(-0.155620\pi\) | |||||||
\(30\) | −1.00803 | + | 1.16333i | −0.184041 | + | 0.212394i | ||||
\(31\) | 1.31556 | − | 9.14993i | 0.236282 | − | 1.64338i | −0.433742 | − | 0.901037i | \(-0.642807\pi\) |
0.670024 | − | 0.742339i | \(-0.266284\pi\) | |||||||
\(32\) | −0.959493 | + | 0.281733i | −0.169616 | + | 0.0498038i | ||||
\(33\) | −5.57399 | − | 6.43273i | −0.970307 | − | 1.11979i | ||||
\(34\) | −4.85071 | + | 3.11736i | −0.831890 | + | 0.534623i | ||||
\(35\) | 3.12752 | − | 2.00993i | 0.528647 | − | 0.339741i | ||||
\(36\) | 0.412908 | + | 0.476521i | 0.0688180 | + | 0.0794202i | ||||
\(37\) | −0.470298 | + | 0.138092i | −0.0773164 | + | 0.0227022i | −0.320162 | − | 0.947363i | \(-0.603737\pi\) |
0.242846 | + | 0.970065i | \(0.421919\pi\) | |||||||
\(38\) | 0.520446 | − | 3.61978i | 0.0844275 | − | 0.587206i | ||||
\(39\) | 2.58326 | − | 2.98124i | 0.413653 | − | 0.477381i | ||||
\(40\) | −0.415415 | + | 0.909632i | −0.0656829 | + | 0.143825i | ||||
\(41\) | 10.9326 | + | 3.21011i | 1.70739 | + | 0.501334i | 0.982299 | − | 0.187320i | \(-0.0599803\pi\) |
0.725089 | + | 0.688655i | \(0.241798\pi\) | |||||||
\(42\) | 2.37728 | + | 5.20552i | 0.366823 | + | 0.803229i | ||||
\(43\) | 1.28674 | + | 8.94946i | 0.196226 | + | 1.36478i | 0.815114 | + | 0.579301i | \(0.196674\pi\) |
−0.618888 | + | 0.785479i | \(0.712417\pi\) | |||||||
\(44\) | −4.65177 | − | 2.98951i | −0.701281 | − | 0.450686i | ||||
\(45\) | 0.630528 | 0.0939935 | ||||||||
\(46\) | 0.548378 | − | 4.76438i | 0.0808539 | − | 0.702469i | ||||
\(47\) | −9.73542 | −1.42006 | −0.710028 | − | 0.704173i | \(-0.751318\pi\) | ||||
−0.710028 | + | 0.704173i | \(0.751318\pi\) | |||||||
\(48\) | −1.29495 | − | 0.832213i | −0.186910 | − | 0.120120i | ||||
\(49\) | −0.970757 | − | 6.75176i | −0.138680 | − | 0.964537i | ||||
\(50\) | 0.415415 | + | 0.909632i | 0.0587486 | + | 0.128641i | ||||
\(51\) | −8.51621 | − | 2.50058i | −1.19251 | − | 0.350152i | ||||
\(52\) | 1.06457 | − | 2.33109i | 0.147630 | − | 0.323264i | ||||
\(53\) | −0.540177 | + | 0.623397i | −0.0741990 | + | 0.0856302i | −0.791635 | − | 0.610994i | \(-0.790770\pi\) |
0.717436 | + | 0.696624i | \(0.245315\pi\) | |||||||
\(54\) | −0.795327 | + | 5.53162i | −0.108230 | + | 0.752758i | ||||
\(55\) | −5.30559 | + | 1.55786i | −0.715405 | + | 0.210062i | ||||
\(56\) | 2.43457 | + | 2.80964i | 0.325333 | + | 0.375454i | ||||
\(57\) | 4.73564 | − | 3.04341i | 0.627250 | − | 0.403109i | ||||
\(58\) | 7.19373 | − | 4.62313i | 0.944583 | − | 0.607047i | ||||
\(59\) | −1.36676 | − | 1.57733i | −0.177937 | − | 0.205350i | 0.659774 | − | 0.751464i | \(-0.270652\pi\) |
−0.837711 | + | 0.546114i | \(0.816107\pi\) | |||||||
\(60\) | −1.47696 | + | 0.433673i | −0.190674 | + | 0.0559870i | ||||
\(61\) | −1.34732 | + | 9.37080i | −0.172506 | + | 1.19981i | 0.701060 | + | 0.713102i | \(0.252711\pi\) |
−0.873566 | + | 0.486705i | \(0.838199\pi\) | |||||||
\(62\) | 6.05355 | − | 6.98617i | 0.768801 | − | 0.887244i | ||||
\(63\) | 0.973776 | − | 2.13227i | 0.122684 | − | 0.268641i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −1.06457 | − | 2.33109i | −0.132044 | − | 0.289136i | ||||
\(66\) | −1.21134 | − | 8.42508i | −0.149106 | − | 1.03706i | ||||
\(67\) | −0.964698 | − | 0.619974i | −0.117857 | − | 0.0757418i | 0.480385 | − | 0.877058i | \(-0.340497\pi\) |
−0.598241 | + | 0.801316i | \(0.704133\pi\) | |||||||
\(68\) | −5.76605 | −0.699237 | ||||||||
\(69\) | 6.09534 | − | 4.16470i | 0.733792 | − | 0.501371i | ||||
\(70\) | 3.71769 | 0.444349 | ||||||||
\(71\) | 2.41244 | + | 1.55038i | 0.286304 | + | 0.183996i | 0.675908 | − | 0.736986i | \(-0.263752\pi\) |
−0.389604 | + | 0.920983i | \(0.627388\pi\) | |||||||
\(72\) | 0.0897335 | + | 0.624110i | 0.0105752 | + | 0.0735521i | ||||
\(73\) | −1.33751 | − | 2.92873i | −0.156543 | − | 0.342782i | 0.815068 | − | 0.579365i | \(-0.196700\pi\) |
−0.971611 | + | 0.236584i | \(0.923972\pi\) | |||||||
\(74\) | −0.470298 | − | 0.138092i | −0.0546710 | − | 0.0160528i | ||||
\(75\) | −0.639452 | + | 1.40020i | −0.0738376 | + | 0.161682i | ||||
\(76\) | 2.39483 | − | 2.76378i | 0.274706 | − | 0.317027i | ||||
\(77\) | −2.92560 | + | 20.3480i | −0.333403 | + | 2.31887i | ||||
\(78\) | 3.78496 | − | 1.11136i | 0.428562 | − | 0.125837i | ||||
\(79\) | −4.55111 | − | 5.25227i | −0.512040 | − | 0.590926i | 0.439580 | − | 0.898204i | \(-0.355127\pi\) |
−0.951620 | + | 0.307278i | \(0.900582\pi\) | |||||||
\(80\) | −0.841254 | + | 0.540641i | −0.0940550 | + | 0.0604455i | ||||
\(81\) | −5.64553 | + | 3.62816i | −0.627281 | + | 0.403129i | ||||
\(82\) | 7.46159 | + | 8.61113i | 0.823995 | + | 0.950941i | ||||
\(83\) | −9.46528 | + | 2.77926i | −1.03895 | + | 0.305063i | −0.756345 | − | 0.654173i | \(-0.773017\pi\) |
−0.282605 | + | 0.959236i | \(0.591199\pi\) | |||||||
\(84\) | −0.814421 | + | 5.66442i | −0.0888606 | + | 0.618039i | ||||
\(85\) | −3.77596 | + | 4.35769i | −0.409561 | + | 0.472658i | ||||
\(86\) | −3.75597 | + | 8.22443i | −0.405017 | + | 0.886863i | ||||
\(87\) | 12.6298 | + | 3.70843i | 1.35405 | + | 0.397585i | ||||
\(88\) | −2.29707 | − | 5.02988i | −0.244868 | − | 0.536187i | ||||
\(89\) | −0.510160 | − | 3.54824i | −0.0540769 | − | 0.376113i | −0.998831 | − | 0.0483338i | \(-0.984609\pi\) |
0.944754 | − | 0.327779i | \(-0.106300\pi\) | |||||||
\(90\) | 0.530434 | + | 0.340889i | 0.0559126 | + | 0.0359329i | ||||
\(91\) | −9.52722 | −0.998724 | ||||||||
\(92\) | 3.03714 | − | 3.71157i | 0.316644 | − | 0.386958i | ||||
\(93\) | 14.2294 | 1.47552 | ||||||||
\(94\) | −8.18995 | − | 5.26336i | −0.844729 | − | 0.542874i | ||||
\(95\) | −0.520446 | − | 3.61978i | −0.0533967 | − | 0.371382i | ||||
\(96\) | −0.639452 | − | 1.40020i | −0.0652638 | − | 0.142908i | ||||
\(97\) | −2.45368 | − | 0.720465i | −0.249133 | − | 0.0731522i | 0.154781 | − | 0.987949i | \(-0.450533\pi\) |
−0.403915 | + | 0.914797i | \(0.632351\pi\) | |||||||
\(98\) | 2.83363 | − | 6.20477i | 0.286239 | − | 0.626777i | ||||
\(99\) | −2.28320 | + | 2.63496i | −0.229471 | + | 0.264823i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | 6.71231 | − | 1.97091i | 0.667900 | − | 0.196113i | 0.0698323 | − | 0.997559i | \(-0.477754\pi\) |
0.598068 | + | 0.801446i | \(0.295935\pi\) | |||||||
\(102\) | −5.81237 | − | 6.70783i | −0.575511 | − | 0.664175i | ||||
\(103\) | −1.46415 | + | 0.940954i | −0.144267 | + | 0.0927150i | −0.610783 | − | 0.791798i | \(-0.709145\pi\) |
0.466516 | + | 0.884513i | \(0.345509\pi\) | |||||||
\(104\) | 2.15586 | − | 1.38549i | 0.211399 | − | 0.135858i | ||||
\(105\) | 3.74755 | + | 4.32490i | 0.365724 | + | 0.422067i | ||||
\(106\) | −0.791460 | + | 0.232394i | −0.0768734 | + | 0.0225721i | ||||
\(107\) | −0.153960 | + | 1.07081i | −0.0148838 | + | 0.103519i | −0.995909 | − | 0.0903604i | \(-0.971198\pi\) |
0.981025 | + | 0.193880i | \(0.0621072\pi\) | |||||||
\(108\) | −3.65969 | + | 4.22351i | −0.352154 | + | 0.406407i | ||||
\(109\) | 0.970980 | − | 2.12615i | 0.0930030 | − | 0.203648i | −0.857413 | − | 0.514628i | \(-0.827930\pi\) |
0.950416 | + | 0.310980i | \(0.100657\pi\) | |||||||
\(110\) | −5.30559 | − | 1.55786i | −0.505868 | − | 0.148536i | ||||
\(111\) | −0.313429 | − | 0.686313i | −0.0297493 | − | 0.0651420i | ||||
\(112\) | 0.529082 | + | 3.67985i | 0.0499935 | + | 0.347713i | ||||
\(113\) | 13.4634 | + | 8.65243i | 1.26653 | + | 0.813952i | 0.989164 | − | 0.146812i | \(-0.0469011\pi\) |
0.277369 | + | 0.960763i | \(0.410537\pi\) | |||||||
\(114\) | 5.62926 | 0.527229 | ||||||||
\(115\) | −0.816115 | − | 4.72588i | −0.0761031 | − | 0.440691i | ||||
\(116\) | 8.55120 | 0.793959 | ||||||||
\(117\) | −1.35933 | − | 0.873588i | −0.125670 | − | 0.0807632i | ||||
\(118\) | −0.297026 | − | 2.06586i | −0.0273434 | − | 0.190178i | ||||
\(119\) | 8.90499 | + | 19.4992i | 0.816319 | + | 1.78749i | ||||
\(120\) | −1.47696 | − | 0.433673i | −0.134827 | − | 0.0395888i | ||||
\(121\) | 8.13223 | − | 17.8071i | 0.739294 | − | 1.61883i | ||||
\(122\) | −6.19967 | + | 7.15480i | −0.561292 | + | 0.647765i | ||||
\(123\) | −2.49608 | + | 17.3606i | −0.225064 | + | 1.56535i | ||||
\(124\) | 8.86957 | − | 2.60434i | 0.796511 | − | 0.233877i | ||||
\(125\) | 0.654861 | + | 0.755750i | 0.0585725 | + | 0.0675963i | ||||
\(126\) | 1.97199 | − | 1.26732i | 0.175678 | − | 0.112902i | ||||
\(127\) | −2.07304 | + | 1.33226i | −0.183953 | + | 0.118219i | −0.629376 | − | 0.777101i | \(-0.716689\pi\) |
0.445424 | + | 0.895320i | \(0.353053\pi\) | |||||||
\(128\) | −0.654861 | − | 0.755750i | −0.0578821 | − | 0.0667995i | ||||
\(129\) | −13.3539 | + | 3.92105i | −1.17574 | + | 0.345230i | ||||
\(130\) | 0.364707 | − | 2.53659i | 0.0319869 | − | 0.222474i | ||||
\(131\) | −14.3341 | + | 16.5424i | −1.25237 | + | 1.44532i | −0.405003 | + | 0.914315i | \(0.632729\pi\) |
−0.847371 | + | 0.531001i | \(0.821816\pi\) | |||||||
\(132\) | 3.53590 | − | 7.74253i | 0.307760 | − | 0.673901i | ||||
\(133\) | −13.0449 | − | 3.83032i | −1.13113 | − | 0.332131i | ||||
\(134\) | −0.476372 | − | 1.04311i | −0.0411523 | − | 0.0901110i | ||||
\(135\) | 0.795327 | + | 5.53162i | 0.0684509 | + | 0.476086i | ||||
\(136\) | −4.85071 | − | 3.11736i | −0.415945 | − | 0.267312i | ||||
\(137\) | 3.01304 | 0.257421 | 0.128711 | − | 0.991682i | \(-0.458916\pi\) | ||||
0.128711 | + | 0.991682i | \(0.458916\pi\) | |||||||
\(138\) | 7.37933 | − | 0.208184i | 0.628170 | − | 0.0177218i | ||||
\(139\) | −5.93581 | −0.503469 | −0.251734 | − | 0.967796i | \(-0.581001\pi\) | ||||
−0.251734 | + | 0.967796i | \(0.581001\pi\) | |||||||
\(140\) | 3.12752 | + | 2.00993i | 0.264323 | + | 0.169870i | ||||
\(141\) | −2.13270 | − | 14.8333i | −0.179606 | − | 1.24919i | ||||
\(142\) | 1.19127 | + | 2.60853i | 0.0999696 | + | 0.218903i | ||||
\(143\) | 13.5965 | + | 3.99229i | 1.13700 | + | 0.333852i | ||||
\(144\) | −0.261931 | + | 0.573548i | −0.0218276 | + | 0.0477957i | ||||
\(145\) | 5.59985 | − | 6.46257i | 0.465042 | − | 0.536687i | ||||
\(146\) | 0.458209 | − | 3.18691i | 0.0379217 | − | 0.263751i | ||||
\(147\) | 10.0746 | − | 2.95817i | 0.830939 | − | 0.243986i | ||||
\(148\) | −0.320981 | − | 0.370432i | −0.0263845 | − | 0.0304493i | ||||
\(149\) | 1.25623 | − | 0.807327i | 0.102914 | − | 0.0661388i | −0.488171 | − | 0.872748i | \(-0.662336\pi\) |
0.591085 | + | 0.806609i | \(0.298700\pi\) | |||||||
\(150\) | −1.29495 | + | 0.832213i | −0.105732 | + | 0.0679499i | ||||
\(151\) | 10.2411 | + | 11.8189i | 0.833410 | + | 0.961807i | 0.999705 | − | 0.0242695i | \(-0.00772596\pi\) |
−0.166295 | + | 0.986076i | \(0.553181\pi\) | |||||||
\(152\) | 3.50887 | − | 1.03030i | 0.284607 | − | 0.0835682i | ||||
\(153\) | −0.517408 | + | 3.59865i | −0.0418299 | + | 0.290934i | ||||
\(154\) | −13.4621 | + | 15.5361i | −1.08481 | + | 1.25194i | ||||
\(155\) | 3.84011 | − | 8.40866i | 0.308445 | − | 0.675400i | ||||
\(156\) | 3.78496 | + | 1.11136i | 0.303039 | + | 0.0889804i | ||||
\(157\) | 2.53687 | + | 5.55497i | 0.202464 | + | 0.443335i | 0.983442 | − | 0.181224i | \(-0.0580060\pi\) |
−0.780978 | + | 0.624559i | \(0.785279\pi\) | |||||||
\(158\) | −0.989052 | − | 6.87901i | −0.0786847 | − | 0.547264i | ||||
\(159\) | −1.06817 | − | 0.686470i | −0.0847113 | − | 0.0544406i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −17.2420 | − | 4.53869i | −1.35886 | − | 0.357699i | ||||
\(162\) | −6.71085 | −0.527254 | ||||||||
\(163\) | 13.8010 | + | 8.86935i | 1.08098 | + | 0.694701i | 0.954783 | − | 0.297305i | \(-0.0960877\pi\) |
0.126193 | + | 0.992006i | \(0.459724\pi\) | |||||||
\(164\) | 1.62156 | + | 11.2782i | 0.126622 | + | 0.880678i | ||||
\(165\) | −3.53590 | − | 7.74253i | −0.275269 | − | 0.602755i | ||||
\(166\) | −9.46528 | − | 2.77926i | −0.734648 | − | 0.215712i | ||||
\(167\) | −5.96270 | + | 13.0565i | −0.461407 | + | 1.01034i | 0.525757 | + | 0.850635i | \(0.323782\pi\) |
−0.987165 | + | 0.159707i | \(0.948945\pi\) | |||||||
\(168\) | −3.74755 | + | 4.32490i | −0.289130 | + | 0.333674i | ||||
\(169\) | 0.915468 | − | 6.36722i | 0.0704206 | − | 0.489786i | ||||
\(170\) | −5.53249 | + | 1.62448i | −0.424322 | + | 0.124592i | ||||
\(171\) | −1.51001 | − | 1.74264i | −0.115473 | − | 0.133263i | ||||
\(172\) | −7.60618 | + | 4.88820i | −0.579966 | + | 0.372722i | ||||
\(173\) | −8.75087 | + | 5.62385i | −0.665317 | + | 0.427573i | −0.829234 | − | 0.558901i | \(-0.811223\pi\) |
0.163918 | + | 0.986474i | \(0.447587\pi\) | |||||||
\(174\) | 8.61990 | + | 9.94789i | 0.653473 | + | 0.754148i | ||||
\(175\) | 3.56709 | − | 1.04739i | 0.269647 | − | 0.0791755i | ||||
\(176\) | 0.786940 | − | 5.47329i | 0.0593178 | − | 0.412565i | ||||
\(177\) | 2.10387 | − | 2.42799i | 0.158136 | − | 0.182499i | ||||
\(178\) | 1.48915 | − | 3.26078i | 0.111617 | − | 0.244406i | ||||
\(179\) | 12.1351 | + | 3.56318i | 0.907018 | + | 0.266325i | 0.701785 | − | 0.712389i | \(-0.252387\pi\) |
0.205233 | + | 0.978713i | \(0.434205\pi\) | |||||||
\(180\) | 0.261931 | + | 0.573548i | 0.0195232 | + | 0.0427498i | ||||
\(181\) | 0.579681 | + | 4.03177i | 0.0430873 | + | 0.299679i | 0.999958 | + | 0.00916470i | \(0.00291725\pi\) |
−0.956871 | + | 0.290514i | \(0.906174\pi\) | |||||||
\(182\) | −8.01481 | − | 5.15081i | −0.594097 | − | 0.381803i | ||||
\(183\) | −14.5729 | −1.07726 | ||||||||
\(184\) | 4.56163 | − | 1.48037i | 0.336288 | − | 0.109134i | ||||
\(185\) | −0.490152 | −0.0360367 | ||||||||
\(186\) | 11.9705 | + | 7.69300i | 0.877722 | + | 0.564078i | ||||
\(187\) | −4.53754 | − | 31.5593i | −0.331818 | − | 2.30784i | ||||
\(188\) | −4.04424 | − | 8.85565i | −0.294956 | − | 0.645864i | ||||
\(189\) | 19.9347 | + | 5.85336i | 1.45004 | + | 0.425769i | ||||
\(190\) | 1.51918 | − | 3.32653i | 0.110213 | − | 0.241332i | ||||
\(191\) | 4.02232 | − | 4.64201i | 0.291045 | − | 0.335884i | −0.591331 | − | 0.806429i | \(-0.701397\pi\) |
0.882376 | + | 0.470545i | \(0.155943\pi\) | |||||||
\(192\) | 0.219067 | − | 1.52364i | 0.0158098 | − | 0.109959i | ||||
\(193\) | −6.27038 | + | 1.84115i | −0.451352 | + | 0.132529i | −0.499505 | − | 0.866311i | \(-0.666485\pi\) |
0.0481530 | + | 0.998840i | \(0.484666\pi\) | |||||||
\(194\) | −1.67465 | − | 1.93265i | −0.120233 | − | 0.138756i | ||||
\(195\) | 3.31853 | − | 2.13269i | 0.237645 | − | 0.152725i | ||||
\(196\) | 5.73835 | − | 3.68781i | 0.409882 | − | 0.263415i | ||||
\(197\) | −2.91774 | − | 3.36725i | −0.207880 | − | 0.239907i | 0.642229 | − | 0.766513i | \(-0.278010\pi\) |
−0.850110 | + | 0.526606i | \(0.823464\pi\) | |||||||
\(198\) | −3.34532 | + | 0.982274i | −0.237741 | + | 0.0698072i | ||||
\(199\) | 2.15082 | − | 14.9593i | 0.152468 | − | 1.06044i | −0.759598 | − | 0.650393i | \(-0.774604\pi\) |
0.912066 | − | 0.410044i | \(-0.134487\pi\) | |||||||
\(200\) | −0.654861 | + | 0.755750i | −0.0463056 | + | 0.0534396i | ||||
\(201\) | 0.733284 | − | 1.60567i | 0.0517219 | − | 0.113255i | ||||
\(202\) | 6.71231 | + | 1.97091i | 0.472277 | + | 0.138673i | ||||
\(203\) | −13.2063 | − | 28.9178i | −0.926903 | − | 2.02963i | ||||
\(204\) | −1.26315 | − | 8.78539i | −0.0884381 | − | 0.615101i | ||||
\(205\) | 9.58538 | + | 6.16015i | 0.669472 | + | 0.430243i | ||||
\(206\) | −1.74044 | −0.121262 | ||||||||
\(207\) | −2.04390 | − | 2.22856i | −0.142061 | − | 0.154896i | ||||
\(208\) | 2.56268 | 0.177690 | ||||||||
\(209\) | 17.0116 | + | 10.9327i | 1.17671 | + | 0.756228i | ||||
\(210\) | 0.814421 | + | 5.66442i | 0.0562004 | + | 0.390882i | ||||
\(211\) | −3.57069 | − | 7.81872i | −0.245816 | − | 0.538263i | 0.745998 | − | 0.665948i | \(-0.231973\pi\) |
−0.991815 | + | 0.127685i | \(0.959245\pi\) | |||||||
\(212\) | −0.791460 | − | 0.232394i | −0.0543577 | − | 0.0159609i | ||||
\(213\) | −1.83374 | + | 4.01533i | −0.125646 | + | 0.275126i | ||||
\(214\) | −0.708444 | + | 0.817588i | −0.0484282 | + | 0.0558892i | ||||
\(215\) | −1.28674 | + | 8.94946i | −0.0877548 | + | 0.610348i | ||||
\(216\) | −5.36213 | + | 1.57446i | −0.364847 | + | 0.107129i | ||||
\(217\) | −22.5052 | − | 25.9724i | −1.52775 | − | 1.76312i | ||||
\(218\) | 1.96632 | − | 1.26368i | 0.133176 | − | 0.0855872i | ||||
\(219\) | 4.16933 | − | 2.67947i | 0.281737 | − | 0.181062i | ||||
\(220\) | −3.62110 | − | 4.17897i | −0.244134 | − | 0.281746i | ||||
\(221\) | 14.1780 | − | 4.16303i | 0.953713 | − | 0.280036i | ||||
\(222\) | 0.107376 | − | 0.746816i | 0.00720660 | − | 0.0501230i | ||||
\(223\) | −0.809622 | + | 0.934354i | −0.0542163 | + | 0.0625690i | −0.782210 | − | 0.623015i | \(-0.785908\pi\) |
0.727994 | + | 0.685584i | \(0.240453\pi\) | |||||||
\(224\) | −1.54438 | + | 3.38173i | −0.103188 | + | 0.225951i | ||||
\(225\) | 0.604987 | + | 0.177640i | 0.0403325 | + | 0.0118427i | ||||
\(226\) | 6.64831 | + | 14.5578i | 0.442239 | + | 0.968368i | ||||
\(227\) | −3.01319 | − | 20.9572i | −0.199992 | − | 1.39098i | −0.804299 | − | 0.594225i | \(-0.797459\pi\) |
0.604307 | − | 0.796752i | \(-0.293450\pi\) | |||||||
\(228\) | 4.73564 | + | 3.04341i | 0.313625 | + | 0.201555i | ||||
\(229\) | −11.2218 | −0.741557 | −0.370779 | − | 0.928721i | \(-0.620909\pi\) | ||||
−0.370779 | + | 0.928721i | \(0.620909\pi\) | |||||||
\(230\) | 1.86844 | − | 4.41689i | 0.123202 | − | 0.291241i | ||||
\(231\) | −31.6439 | −2.08202 | ||||||||
\(232\) | 7.19373 | + | 4.62313i | 0.472291 | + | 0.303523i | ||||
\(233\) | −0.204043 | − | 1.41915i | −0.0133673 | − | 0.0929716i | 0.982046 | − | 0.188644i | \(-0.0604091\pi\) |
−0.995413 | + | 0.0956720i | \(0.969500\pi\) | |||||||
\(234\) | −0.671243 | − | 1.46982i | −0.0438805 | − | 0.0960850i | ||||
\(235\) | −9.34106 | − | 2.74278i | −0.609344 | − | 0.178919i | ||||
\(236\) | 0.867014 | − | 1.89850i | 0.0564378 | − | 0.123582i | ||||
\(237\) | 7.00557 | − | 8.08486i | 0.455061 | − | 0.525168i | ||||
\(238\) | −3.05071 | + | 21.2182i | −0.197748 | + | 1.37537i | ||||
\(239\) | 6.63782 | − | 1.94904i | 0.429365 | − | 0.126073i | −0.0599076 | − | 0.998204i | \(-0.519081\pi\) |
0.489272 | + | 0.872131i | \(0.337262\pi\) | |||||||
\(240\) | −1.00803 | − | 1.16333i | −0.0650683 | − | 0.0750928i | ||||
\(241\) | −13.8682 | + | 8.91258i | −0.893332 | + | 0.574109i | −0.904806 | − | 0.425825i | \(-0.859984\pi\) |
0.0114739 | + | 0.999934i | \(0.496348\pi\) | |||||||
\(242\) | 16.4685 | − | 10.5837i | 1.05864 | − | 0.680344i | ||||
\(243\) | 4.21432 | + | 4.86358i | 0.270348 | + | 0.311999i | ||||
\(244\) | −9.08368 | + | 2.66721i | −0.581523 | + | 0.170750i | ||||
\(245\) | 0.970757 | − | 6.75176i | 0.0620194 | − | 0.431354i | ||||
\(246\) | −11.4857 | + | 13.2552i | −0.732301 | + | 0.845120i | ||||
\(247\) | −3.89315 | + | 8.52482i | −0.247715 | + | 0.542421i | ||||
\(248\) | 8.86957 | + | 2.60434i | 0.563218 | + | 0.165376i | ||||
\(249\) | −6.30812 | − | 13.8129i | −0.399761 | − | 0.875354i | ||||
\(250\) | 0.142315 | + | 0.989821i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | 17.8198 | + | 11.4521i | 1.12478 | + | 0.722850i | 0.964464 | − | 0.264216i | \(-0.0851131\pi\) |
0.160314 | + | 0.987066i | \(0.448749\pi\) | |||||||
\(252\) | 2.34410 | 0.147665 | ||||||||
\(253\) | 22.7046 | + | 13.7024i | 1.42742 | + | 0.861460i | ||||
\(254\) | −2.46423 | −0.154619 | ||||||||
\(255\) | −7.46674 | − | 4.79859i | −0.467586 | − | 0.300499i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 0.261558 | + | 0.572731i | 0.0163155 | + | 0.0357260i | 0.917614 | − | 0.397472i | \(-0.130112\pi\) |
−0.901299 | + | 0.433198i | \(0.857385\pi\) | |||||||
\(258\) | −13.3539 | − | 3.92105i | −0.831376 | − | 0.244114i | ||||
\(259\) | −0.756983 | + | 1.65756i | −0.0470366 | + | 0.102996i | ||||
\(260\) | 1.67820 | − | 1.93674i | 0.104077 | − | 0.120112i | ||||
\(261\) | 0.767329 | − | 5.33689i | 0.0474965 | − | 0.330345i | ||||
\(262\) | −21.0021 | + | 6.16677i | −1.29751 | + | 0.380984i | ||||
\(263\) | −17.2204 | − | 19.8733i | −1.06185 | − | 1.22544i | −0.973340 | − | 0.229368i | \(-0.926334\pi\) |
−0.0885128 | − | 0.996075i | \(-0.528211\pi\) | |||||||
\(264\) | 7.16051 | − | 4.60178i | 0.440699 | − | 0.283220i | ||||
\(265\) | −0.693927 | + | 0.445960i | −0.0426276 | + | 0.0273951i | ||||
\(266\) | −8.90323 | − | 10.2749i | −0.545892 | − | 0.629993i | ||||
\(267\) | 5.29449 | − | 1.55460i | 0.324017 | − | 0.0951401i | ||||
\(268\) | 0.163198 | − | 1.13507i | 0.00996890 | − | 0.0693352i | ||||
\(269\) | −17.4282 | + | 20.1132i | −1.06261 | + | 1.22632i | −0.0895020 | + | 0.995987i | \(0.528528\pi\) |
−0.973111 | + | 0.230335i | \(0.926018\pi\) | |||||||
\(270\) | −2.32155 | + | 5.08348i | −0.141285 | + | 0.309371i | ||||
\(271\) | −9.42841 | − | 2.76843i | −0.572735 | − | 0.168170i | −0.0174754 | − | 0.999847i | \(-0.505563\pi\) |
−0.555259 | + | 0.831677i | \(0.687381\pi\) | |||||||
\(272\) | −2.39530 | − | 5.24499i | −0.145237 | − | 0.318024i | ||||
\(273\) | −2.08710 | − | 14.5161i | −0.126317 | − | 0.878552i | ||||
\(274\) | 2.53473 | + | 1.62897i | 0.153129 | + | 0.0984098i | ||||
\(275\) | −5.52957 | −0.333446 | ||||||||
\(276\) | 6.32044 | + | 3.81443i | 0.380446 | + | 0.229602i | ||||
\(277\) | 11.7531 | 0.706178 | 0.353089 | − | 0.935590i | \(-0.385131\pi\) | ||||
0.353089 | + | 0.935590i | \(0.385131\pi\) | |||||||
\(278\) | −4.99352 | − | 3.20914i | −0.299492 | − | 0.192472i | ||||
\(279\) | −0.829498 | − | 5.76928i | −0.0496607 | − | 0.345398i | ||||
\(280\) | 1.54438 | + | 3.38173i | 0.0922945 | + | 0.202097i | ||||
\(281\) | 14.1395 | + | 4.15174i | 0.843493 | + | 0.247672i | 0.674804 | − | 0.737997i | \(-0.264228\pi\) |
0.168690 | + | 0.985669i | \(0.446046\pi\) | |||||||
\(282\) | 6.22533 | − | 13.6316i | 0.370713 | − | 0.811748i | ||||
\(283\) | 1.35549 | − | 1.56432i | 0.0805755 | − | 0.0929891i | −0.714030 | − | 0.700115i | \(-0.753132\pi\) |
0.794606 | + | 0.607126i | \(0.207678\pi\) | |||||||
\(284\) | −0.408113 | + | 2.83849i | −0.0242170 | + | 0.168433i | ||||
\(285\) | 5.40124 | − | 1.58595i | 0.319942 | − | 0.0939434i | ||||
\(286\) | 9.27970 | + | 10.7093i | 0.548720 | + | 0.633257i | ||||
\(287\) | 35.6354 | − | 22.9015i | 2.10349 | − | 1.35183i | ||||
\(288\) | −0.530434 | + | 0.340889i | −0.0312561 | + | 0.0200871i | ||||
\(289\) | −10.6398 | − | 12.2789i | −0.625868 | − | 0.722290i | ||||
\(290\) | 8.20482 | − | 2.40915i | 0.481804 | − | 0.141470i | ||||
\(291\) | 0.560212 | − | 3.89636i | 0.0328402 | − | 0.228409i | ||||
\(292\) | 2.10845 | − | 2.43328i | 0.123387 | − | 0.142397i | ||||
\(293\) | −8.49265 | + | 18.5963i | −0.496146 | + | 1.08641i | 0.481557 | + | 0.876415i | \(0.340072\pi\) |
−0.977703 | + | 0.209993i | \(0.932656\pi\) | |||||||
\(294\) | 10.0746 | + | 2.95817i | 0.587563 | + | 0.172524i | ||||
\(295\) | −0.867014 | − | 1.89850i | −0.0504795 | − | 0.110535i | ||||
\(296\) | −0.0697559 | − | 0.485163i | −0.00405448 | − | 0.0281995i | ||||
\(297\) | −25.9964 | − | 16.7069i | −1.50847 | − | 0.969433i | ||||
\(298\) | 1.49328 | 0.0865033 | ||||||||
\(299\) | −4.78822 | + | 11.3191i | −0.276910 | + | 0.654598i | ||||
\(300\) | −1.53931 | −0.0888720 | ||||||||
\(301\) | 28.2774 | + | 18.1728i | 1.62988 | + | 1.04746i | ||||
\(302\) | 2.22561 | + | 15.4794i | 0.128069 | + | 0.890741i | ||||
\(303\) | 4.47341 | + | 9.79539i | 0.256990 | + | 0.562731i | ||||
\(304\) | 3.50887 | + | 1.03030i | 0.201248 | + | 0.0590916i | ||||
\(305\) | −3.93280 | + | 8.61163i | −0.225192 | + | 0.493101i | ||||
\(306\) | −2.38085 | + | 2.74765i | −0.136104 | + | 0.157072i | ||||
\(307\) | 1.33383 | − | 9.27703i | 0.0761260 | − | 0.529468i | −0.915699 | − | 0.401864i | \(-0.868362\pi\) |
0.991825 | − | 0.127604i | \(-0.0407285\pi\) | |||||||
\(308\) | −19.7245 | + | 5.79164i | −1.12391 | + | 0.330009i | ||||
\(309\) | −1.75442 | − | 2.02471i | −0.0998057 | − | 0.115182i | ||||
\(310\) | 7.77657 | − | 4.99770i | 0.441679 | − | 0.283850i | ||||
\(311\) | 6.29557 | − | 4.04592i | 0.356989 | − | 0.229423i | −0.349837 | − | 0.936811i | \(-0.613763\pi\) |
0.706826 | + | 0.707388i | \(0.250126\pi\) | |||||||
\(312\) | 2.58326 | + | 2.98124i | 0.146248 | + | 0.168780i | ||||
\(313\) | 2.67346 | − | 0.784999i | 0.151113 | − | 0.0443707i | −0.205301 | − | 0.978699i | \(-0.565817\pi\) |
0.356414 | + | 0.934328i | \(0.383999\pi\) | |||||||
\(314\) | −0.869093 | + | 6.04467i | −0.0490457 | + | 0.341121i | ||||
\(315\) | 1.53506 | − | 1.77156i | 0.0864909 | − | 0.0998159i | ||||
\(316\) | 2.88703 | − | 6.32171i | 0.162408 | − | 0.355624i | ||||
\(317\) | −15.2117 | − | 4.46655i | −0.854372 | − | 0.250866i | −0.174917 | − | 0.984583i | \(-0.555966\pi\) |
−0.679455 | + | 0.733717i | \(0.737784\pi\) | |||||||
\(318\) | −0.527467 | − | 1.15499i | −0.0295789 | − | 0.0647687i | ||||
\(319\) | 6.72929 | + | 46.8032i | 0.376768 | + | 2.62048i | ||||
\(320\) | −0.841254 | − | 0.540641i | −0.0470275 | − | 0.0302227i | ||||
\(321\) | −1.66526 | −0.0929458 | ||||||||
\(322\) | −12.0511 | − | 13.1399i | −0.671583 | − | 0.732260i | ||||
\(323\) | 21.0865 | 1.17328 | ||||||||
\(324\) | −5.64553 | − | 3.62816i | −0.313640 | − | 0.201564i | ||||
\(325\) | −0.364707 | − | 2.53659i | −0.0202303 | − | 0.140705i | ||||
\(326\) | 6.81499 | + | 14.9227i | 0.377447 | + | 0.826494i | ||||
\(327\) | 3.45220 | + | 1.01366i | 0.190907 | + | 0.0560554i | ||||
\(328\) | −4.73331 | + | 10.3645i | −0.261353 | + | 0.572283i | ||||
\(329\) | −23.7015 | + | 27.3530i | −1.30671 | + | 1.50802i | ||||
\(330\) | 1.21134 | − | 8.42508i | 0.0666823 | − | 0.463786i | ||||
\(331\) | 10.5463 | − | 3.09667i | 0.579677 | − | 0.170208i | 0.0212671 | − | 0.999774i | \(-0.493230\pi\) |
0.558410 | + | 0.829565i | \(0.311412\pi\) | |||||||
\(332\) | −6.46012 | − | 7.45538i | −0.354545 | − | 0.409167i | ||||
\(333\) | −0.259993 | + | 0.167088i | −0.0142475 | + | 0.00915634i | ||||
\(334\) | −12.0750 | + | 7.76014i | −0.660715 | + | 0.424616i | ||||
\(335\) | −0.750954 | − | 0.866647i | −0.0410290 | − | 0.0473500i | ||||
\(336\) | −5.49086 | + | 1.61226i | −0.299551 | + | 0.0879561i | ||||
\(337\) | −3.47485 | + | 24.1681i | −0.189287 | + | 1.31652i | 0.644571 | + | 0.764544i | \(0.277036\pi\) |
−0.833859 | + | 0.551978i | \(0.813873\pi\) | |||||||
\(338\) | 4.21252 | − | 4.86151i | 0.229131 | − | 0.264431i | ||||
\(339\) | −10.2338 | + | 22.4089i | −0.555824 | + | 1.21708i | ||||
\(340\) | −5.53249 | − | 1.62448i | −0.300041 | − | 0.0881001i | ||||
\(341\) | 21.2341 | + | 46.4963i | 1.14989 | + | 2.51791i | ||||
\(342\) | −0.328156 | − | 2.28237i | −0.0177446 | − | 0.123417i | ||||
\(343\) | 0.559225 | + | 0.359392i | 0.0301953 | + | 0.0194053i | ||||
\(344\) | −9.04149 | −0.487484 | ||||||||
\(345\) | 7.02176 | − | 2.27875i | 0.378039 | − | 0.122684i | ||||
\(346\) | −10.4022 | −0.559225 | ||||||||
\(347\) | 20.1546 | + | 12.9526i | 1.08196 | + | 0.695332i | 0.955009 | − | 0.296577i | \(-0.0958452\pi\) |
0.126949 | + | 0.991909i | \(0.459482\pi\) | |||||||
\(348\) | 1.87328 | + | 13.0290i | 0.100418 | + | 0.698426i | ||||
\(349\) | −2.43181 | − | 5.32493i | −0.130172 | − | 0.285037i | 0.833312 | − | 0.552803i | \(-0.186442\pi\) |
−0.963484 | + | 0.267766i | \(0.913715\pi\) | |||||||
\(350\) | 3.56709 | + | 1.04739i | 0.190669 | + | 0.0559855i | ||||
\(351\) | 5.94938 | − | 13.0273i | 0.317554 | − | 0.695347i | ||||
\(352\) | 3.62110 | − | 4.17897i | 0.193005 | − | 0.222740i | ||||
\(353\) | 1.97451 | − | 13.7330i | 0.105093 | − | 0.730935i | −0.867334 | − | 0.497726i | \(-0.834168\pi\) |
0.972427 | − | 0.233209i | \(-0.0749226\pi\) | |||||||
\(354\) | 3.08256 | − | 0.905121i | 0.163836 | − | 0.0481066i | ||||
\(355\) | 1.87793 | + | 2.16724i | 0.0996700 | + | 0.115025i | ||||
\(356\) | 3.01567 | − | 1.93805i | 0.159830 | − | 0.102717i | ||||
\(357\) | −27.7590 | + | 17.8396i | −1.46916 | + | 0.944174i | ||||
\(358\) | 8.28227 | + | 9.55825i | 0.437732 | + | 0.505169i | ||||
\(359\) | 19.1700 | − | 5.62882i | 1.01175 | − | 0.297078i | 0.266484 | − | 0.963839i | \(-0.414138\pi\) |
0.745271 | + | 0.666761i | \(0.232320\pi\) | |||||||
\(360\) | −0.0897335 | + | 0.624110i | −0.00472937 | + | 0.0328935i | ||||
\(361\) | 3.68445 | − | 4.25208i | 0.193918 | − | 0.223794i | ||||
\(362\) | −1.69208 | + | 3.70514i | −0.0889337 | + | 0.194738i | ||||
\(363\) | 28.9131 | + | 8.48966i | 1.51755 | + | 0.445592i | ||||
\(364\) | −3.95775 | − | 8.66627i | −0.207443 | − | 0.454236i | ||||
\(365\) | −0.458209 | − | 3.18691i | −0.0239838 | − | 0.166811i | ||||
\(366\) | −12.2595 | − | 7.87870i | −0.640814 | − | 0.411826i | ||||
\(367\) | 5.43074 | 0.283482 | 0.141741 | − | 0.989904i | \(-0.454730\pi\) | ||||
0.141741 | + | 0.989904i | \(0.454730\pi\) | |||||||
\(368\) | 4.63784 | + | 1.22084i | 0.241764 | + | 0.0636406i | ||||
\(369\) | 7.18434 | 0.374002 | ||||||||
\(370\) | −0.412342 | − | 0.264996i | −0.0214367 | − | 0.0137765i | ||||
\(371\) | 0.436425 | + | 3.03541i | 0.0226581 | + | 0.157590i | ||||
\(372\) | 5.91111 | + | 12.9435i | 0.306477 | + | 0.671090i | ||||
\(373\) | 29.4435 | + | 8.64539i | 1.52453 | + | 0.447642i | 0.933370 | − | 0.358915i | \(-0.116853\pi\) |
0.591157 | + | 0.806557i | \(0.298671\pi\) | |||||||
\(374\) | 13.2450 | − | 29.0025i | 0.684883 | − | 1.49969i | ||||
\(375\) | −1.00803 | + | 1.16333i | −0.0520546 | + | 0.0600742i | ||||
\(376\) | 1.38549 | − | 9.63632i | 0.0714514 | − | 0.496955i | ||||
\(377\) | −21.0263 | + | 6.17388i | −1.08291 | + | 0.317971i | ||||
\(378\) | 13.6056 | + | 15.7017i | 0.699796 | + | 0.807607i | ||||
\(379\) | 9.66578 | − | 6.21182i | 0.496498 | − | 0.319080i | −0.268316 | − | 0.963331i | \(-0.586467\pi\) |
0.764814 | + | 0.644251i | \(0.222831\pi\) | |||||||
\(380\) | 3.07647 | − | 1.97713i | 0.157820 | − | 0.101424i | ||||
\(381\) | −2.48402 | − | 2.86671i | −0.127260 | − | 0.146866i | ||||
\(382\) | 5.89345 | − | 1.73047i | 0.301535 | − | 0.0885387i | ||||
\(383\) | 1.50940 | − | 10.4981i | 0.0771267 | − | 0.536428i | −0.914226 | − | 0.405205i | \(-0.867200\pi\) |
0.991353 | − | 0.131224i | \(-0.0418906\pi\) | |||||||
\(384\) | 1.00803 | − | 1.16333i | 0.0514410 | − | 0.0593660i | ||||
\(385\) | −8.53978 | + | 18.6995i | −0.435227 | + | 0.953015i | ||||
\(386\) | −6.27038 | − | 1.84115i | −0.319154 | − | 0.0937120i | ||||
\(387\) | 2.36824 | + | 5.18573i | 0.120385 | + | 0.263605i | ||||
\(388\) | −0.363937 | − | 2.53124i | −0.0184761 | − | 0.128504i | ||||
\(389\) | −30.8536 | − | 19.8284i | −1.56434 | − | 1.00534i | −0.981207 | − | 0.192960i | \(-0.938191\pi\) |
−0.583130 | − | 0.812379i | \(-0.698172\pi\) | |||||||
\(390\) | 3.94475 | 0.199750 | ||||||||
\(391\) | 27.6420 | − | 0.779831i | 1.39792 | − | 0.0394378i | ||||
\(392\) | 6.82119 | 0.344522 | ||||||||
\(393\) | −28.3448 | − | 18.2161i | −1.42981 | − | 0.918881i | ||||
\(394\) | −0.634086 | − | 4.41016i | −0.0319448 | − | 0.222181i | ||||
\(395\) | −2.88703 | − | 6.32171i | −0.145262 | − | 0.318080i | ||||
\(396\) | −3.34532 | − | 0.982274i | −0.168109 | − | 0.0493611i | ||||
\(397\) | −1.77869 | + | 3.89479i | −0.0892700 | + | 0.195474i | −0.949001 | − | 0.315273i | \(-0.897904\pi\) |
0.859731 | + | 0.510747i | \(0.170631\pi\) | |||||||
\(398\) | 9.89700 | − | 11.4217i | 0.496092 | − | 0.572520i | ||||
\(399\) | 2.97834 | − | 20.7148i | 0.149104 | − | 1.03704i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | −17.7027 | − | 20.4300i | −0.884030 | − | 1.02022i | −0.999637 | − | 0.0269297i | \(-0.991427\pi\) |
0.115608 | − | 0.993295i | \(-0.463118\pi\) | |||||||
\(402\) | 1.48497 | − | 0.954331i | 0.0740635 | − | 0.0475977i | ||||
\(403\) | −19.9288 | + | 12.8075i | −0.992725 | + | 0.637986i | ||||
\(404\) | 4.58120 | + | 5.28699i | 0.227923 | + | 0.263037i | ||||
\(405\) | −6.43901 | + | 1.89067i | −0.319957 | + | 0.0939479i | ||||
\(406\) | 4.52429 | − | 31.4671i | 0.224537 | − | 1.56169i | ||||
\(407\) | 1.77489 | − | 2.04833i | 0.0879780 | − | 0.101532i | ||||
\(408\) | 3.68711 | − | 8.07365i | 0.182539 | − | 0.399705i | ||||
\(409\) | 25.6735 | + | 7.53841i | 1.26947 | + | 0.372750i | 0.846012 | − | 0.533164i | \(-0.178997\pi\) |
0.423460 | + | 0.905915i | \(0.360815\pi\) | |||||||
\(410\) | 4.73331 | + | 10.3645i | 0.233761 | + | 0.511866i | ||||
\(411\) | 0.660056 | + | 4.59079i | 0.0325582 | + | 0.226447i | ||||
\(412\) | −1.46415 | − | 0.940954i | −0.0721337 | − | 0.0463575i | ||||
\(413\) | −7.75919 | −0.381805 | ||||||||
\(414\) | −0.514583 | − | 2.97980i | −0.0252904 | − | 0.146449i | ||||
\(415\) | −9.86488 | −0.484248 | ||||||||
\(416\) | 2.15586 | + | 1.38549i | 0.105700 | + | 0.0679291i | ||||
\(417\) | −1.30034 | − | 9.04404i | −0.0636778 | − | 0.442889i | ||||
\(418\) | 8.40039 | + | 18.3943i | 0.410876 | + | 0.899694i | ||||
\(419\) | 4.39604 | + | 1.29079i | 0.214761 | + | 0.0630594i | 0.387343 | − | 0.921936i | \(-0.373393\pi\) |
−0.172582 | + | 0.984995i | \(0.555211\pi\) | |||||||
\(420\) | −2.37728 | + | 5.20552i | −0.115999 | + | 0.254003i | ||||
\(421\) | 9.53577 | − | 11.0049i | 0.464745 | − | 0.536345i | −0.474197 | − | 0.880419i | \(-0.657262\pi\) |
0.938943 | + | 0.344074i | \(0.111807\pi\) | |||||||
\(422\) | 1.22326 | − | 8.50799i | 0.0595475 | − | 0.414162i | ||||
\(423\) | −5.88980 | + | 1.72940i | −0.286372 | + | 0.0840864i | ||||
\(424\) | −0.540177 | − | 0.623397i | −0.0262333 | − | 0.0302749i | ||||
\(425\) | −4.85071 | + | 3.11736i | −0.235294 | + | 0.151214i | ||||
\(426\) | −3.71349 | + | 2.38652i | −0.179919 | + | 0.115627i | ||||
\(427\) | 23.0484 | + | 26.5993i | 1.11539 | + | 1.28723i | ||||
\(428\) | −1.03800 | + | 0.304785i | −0.0501738 | + | 0.0147323i | ||||
\(429\) | −3.10428 | + | 21.5908i | −0.149876 | + | 1.04241i | ||||
\(430\) | −5.92092 | + | 6.83310i | −0.285532 | + | 0.329521i | ||||
\(431\) | −3.40309 | + | 7.45172i | −0.163921 | + | 0.358937i | −0.973712 | − | 0.227781i | \(-0.926853\pi\) |
0.809791 | + | 0.586718i | \(0.199580\pi\) | |||||||
\(432\) | −5.36213 | − | 1.57446i | −0.257986 | − | 0.0757514i | ||||
\(433\) | 1.70894 | + | 3.74206i | 0.0821265 | + | 0.179832i | 0.946240 | − | 0.323465i | \(-0.104848\pi\) |
−0.864114 | + | 0.503296i | \(0.832120\pi\) | |||||||
\(434\) | −4.89084 | − | 34.0166i | −0.234768 | − | 1.63285i | ||||
\(435\) | 11.0734 | + | 7.11642i | 0.530928 | + | 0.341206i | ||||
\(436\) | 2.33737 | 0.111940 | ||||||||
\(437\) | −11.1068 | + | 13.5732i | −0.531312 | + | 0.649296i | ||||
\(438\) | 4.95609 | 0.236811 | ||||||||
\(439\) | −6.55451 | − | 4.21233i | −0.312830 | − | 0.201044i | 0.374799 | − | 0.927106i | \(-0.377712\pi\) |
−0.687629 | + | 0.726063i | \(0.741348\pi\) | |||||||
\(440\) | −0.786940 | − | 5.47329i | −0.0375159 | − | 0.260929i | ||||
\(441\) | −1.78668 | − | 3.91228i | −0.0850800 | − | 0.186299i | ||||
\(442\) | 14.1780 | + | 4.16303i | 0.674377 | + | 0.198015i | ||||
\(443\) | 15.2135 | − | 33.3129i | 0.722815 | − | 1.58274i | −0.0871027 | − | 0.996199i | \(-0.527761\pi\) |
0.809917 | − | 0.586544i | \(-0.199512\pi\) | |||||||
\(444\) | 0.494090 | − | 0.570210i | 0.0234485 | − | 0.0270610i | ||||
\(445\) | 0.510160 | − | 3.54824i | 0.0241839 | − | 0.168203i | ||||
\(446\) | −1.18625 | + | 0.348314i | −0.0561705 | + | 0.0164931i | ||||
\(447\) | 1.50527 | + | 1.73718i | 0.0711970 | + | 0.0821657i | ||||
\(448\) | −3.12752 | + | 2.00993i | −0.147761 | + | 0.0949604i | ||||
\(449\) | 2.96571 | − | 1.90595i | 0.139961 | − | 0.0899472i | −0.468787 | − | 0.883311i | \(-0.655309\pi\) |
0.608747 | + | 0.793364i | \(0.291672\pi\) | |||||||
\(450\) | 0.412908 | + | 0.476521i | 0.0194647 | + | 0.0224634i | ||||
\(451\) | −60.4527 | + | 17.7505i | −2.84661 | + | 0.835839i | ||||
\(452\) | −2.27761 | + | 15.8411i | −0.107130 | + | 0.745104i | ||||
\(453\) | −15.7642 | + | 18.1929i | −0.740669 | + | 0.854777i | ||||
\(454\) | 8.79545 | − | 19.2593i | 0.412791 | − | 0.903886i | ||||
\(455\) | −9.14130 | − | 2.68413i | −0.428551 | − | 0.125834i | ||||
\(456\) | 2.33848 | + | 5.12056i | 0.109509 | + | 0.239792i | ||||
\(457\) | −4.34218 | − | 30.2005i | −0.203119 | − | 1.41272i | −0.794958 | − | 0.606665i | \(-0.792507\pi\) |
0.591839 | − | 0.806056i | \(-0.298402\pi\) | |||||||
\(458\) | −9.44037 | − | 6.06696i | −0.441120 | − | 0.283490i | ||||
\(459\) | −32.2236 | −1.50407 | ||||||||
\(460\) | 3.95979 | − | 2.70557i | 0.184626 | − | 0.126148i | ||||
\(461\) | −6.50868 | −0.303139 | −0.151570 | − | 0.988447i | \(-0.548433\pi\) | ||||
−0.151570 | + | 0.988447i | \(0.548433\pi\) | |||||||
\(462\) | −26.6205 | − | 17.1080i | −1.23850 | − | 0.795936i | ||||
\(463\) | −0.673091 | − | 4.68145i | −0.0312812 | − | 0.217566i | 0.968185 | − | 0.250236i | \(-0.0805081\pi\) |
−0.999466 | + | 0.0326700i | \(0.989599\pi\) | |||||||
\(464\) | 3.55230 | + | 7.77845i | 0.164911 | + | 0.361105i | ||||
\(465\) | 13.6530 | + | 4.00889i | 0.633143 | + | 0.185908i | ||||
\(466\) | 0.595598 | − | 1.30418i | 0.0275906 | − | 0.0604149i | ||||
\(467\) | −17.4918 | + | 20.1866i | −0.809422 | + | 0.934123i | −0.998858 | − | 0.0477699i | \(-0.984789\pi\) |
0.189436 | + | 0.981893i | \(0.439334\pi\) | |||||||
\(468\) | 0.229958 | − | 1.59939i | 0.0106298 | − | 0.0739319i | ||||
\(469\) | −4.09052 | + | 1.20109i | −0.188883 | + | 0.0554610i | ||||
\(470\) | −6.37534 | − | 7.35754i | −0.294073 | − | 0.339378i | ||||
\(471\) | −7.90803 | + | 5.08219i | −0.364383 | + | 0.234175i | ||||
\(472\) | 1.75578 | − | 1.12837i | 0.0808164 | − | 0.0519376i | ||||
\(473\) | −32.7401 | − | 37.7841i | −1.50539 | − | 1.73732i | ||||
\(474\) | 10.2645 | − | 3.01392i | 0.471463 | − | 0.138434i | ||||
\(475\) | 0.520446 | − | 3.61978i | 0.0238797 | − | 0.166087i | ||||
\(476\) | −14.0378 | + | 16.2005i | −0.643423 | + | 0.742550i | ||||
\(477\) | −0.216060 | + | 0.473104i | −0.00989269 | + | 0.0216620i | ||||
\(478\) | 6.63782 | + | 1.94904i | 0.303607 | + | 0.0891470i | ||||
\(479\) | −3.37649 | − | 7.39349i | −0.154276 | − | 0.337817i | 0.816674 | − | 0.577099i | \(-0.195815\pi\) |
−0.970950 | + | 0.239282i | \(0.923088\pi\) | |||||||
\(480\) | −0.219067 | − | 1.52364i | −0.00999897 | − | 0.0695444i | ||||
\(481\) | 1.05670 | + | 0.679099i | 0.0481813 | + | 0.0309643i | ||||
\(482\) | −16.4852 | −0.750881 | ||||||||
\(483\) | 3.13818 | − | 27.2649i | 0.142792 | − | 1.24060i | ||||
\(484\) | 19.5762 | 0.889826 | ||||||||
\(485\) | −2.15131 | − | 1.38256i | −0.0976860 | − | 0.0627790i | ||||
\(486\) | 0.915858 | + | 6.36993i | 0.0415442 | + | 0.288946i | ||||
\(487\) | −3.07442 | − | 6.73203i | −0.139315 | − | 0.305058i | 0.827095 | − | 0.562062i | \(-0.189992\pi\) |
−0.966410 | + | 0.257004i | \(0.917265\pi\) | |||||||
\(488\) | −9.08368 | − | 2.66721i | −0.411199 | − | 0.120739i | ||||
\(489\) | −10.4904 | + | 22.9707i | −0.474391 | + | 1.03877i | ||||
\(490\) | 4.46693 | − | 5.15511i | 0.201795 | − | 0.232884i | ||||
\(491\) | 3.69789 | − | 25.7194i | 0.166883 | − | 1.16070i | −0.718394 | − | 0.695637i | \(-0.755122\pi\) |
0.885277 | − | 0.465064i | \(-0.153969\pi\) | |||||||
\(492\) | −16.8287 | + | 4.94135i | −0.758695 | + | 0.222773i | ||||
\(493\) | 32.2890 | + | 37.2635i | 1.45422 | + | 1.67826i | ||||
\(494\) | −7.88399 | + | 5.06673i | −0.354718 | + | 0.227963i | ||||
\(495\) | −2.93307 | + | 1.88497i | −0.131832 | + | 0.0847231i | ||||
\(496\) | 6.05355 | + | 6.98617i | 0.271812 | + | 0.313688i | ||||
\(497\) | 10.2293 | − | 3.00358i | 0.458845 | − | 0.134729i | ||||
\(498\) | 2.16106 | − | 15.0305i | 0.0968396 | − | 0.673534i | ||||
\(499\) | 22.6105 | − | 26.0939i | 1.01218 | − | 1.16812i | 0.0264785 | − | 0.999649i | \(-0.491571\pi\) |
0.985706 | − | 0.168474i | \(-0.0538839\pi\) | |||||||
\(500\) | −0.415415 | + | 0.909632i | −0.0185779 | + | 0.0406800i | ||||
\(501\) | −21.1996 | − | 6.22477i | −0.947130 | − | 0.278102i | ||||
\(502\) | 8.79951 | + | 19.2682i | 0.392741 | + | 0.859984i | ||||
\(503\) | 0.924047 | + | 6.42689i | 0.0412012 | + | 0.286561i | 0.999997 | + | 0.00246444i | \(0.000784455\pi\) |
−0.958796 | + | 0.284096i | \(0.908306\pi\) | |||||||
\(504\) | 1.97199 | + | 1.26732i | 0.0878392 | + | 0.0564509i | ||||
\(505\) | 6.99569 | 0.311304 | ||||||||
\(506\) | 11.6922 | + | 23.8022i | 0.519783 | + | 1.05814i | ||||
\(507\) | 9.90190 | 0.439759 | ||||||||
\(508\) | −2.07304 | − | 1.33226i | −0.0919763 | − | 0.0591096i | ||||
\(509\) | −4.13303 | − | 28.7458i | −0.183193 | − | 1.27414i | −0.849152 | − | 0.528149i | \(-0.822886\pi\) |
0.665959 | − | 0.745989i | \(-0.268023\pi\) | |||||||
\(510\) | −3.68711 | − | 8.07365i | −0.163268 | − | 0.357507i | ||||
\(511\) | −11.4849 | − | 3.37228i | −0.508063 | − | 0.149181i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 13.3835 | − | 15.4454i | 0.590897 | − | 0.681931i | ||||
\(514\) | −0.0896056 | + | 0.623221i | −0.00395234 | + | 0.0274891i | ||||
\(515\) | −1.66994 | + | 0.490339i | −0.0735865 | + | 0.0216069i | ||||
\(516\) | −9.11412 | − | 10.5183i | −0.401227 | − | 0.463040i | ||||
\(517\) | 45.2869 | − | 29.1041i | 1.99172 | − | 1.28000i | ||||
\(518\) | −1.53296 | + | 0.985173i | −0.0673544 | + | 0.0432860i | ||||
\(519\) | −10.4857 | − | 12.1012i | −0.460273 | − | 0.531184i | ||||
\(520\) | 2.45887 | − | 0.721989i | 0.107829 | − | 0.0316613i | ||||
\(521\) | 4.30166 | − | 29.9187i | 0.188459 | − | 1.31076i | −0.647540 | − | 0.762031i | \(-0.724202\pi\) |
0.835999 | − | 0.548731i | \(-0.184889\pi\) | |||||||
\(522\) | 3.53086 | − | 4.07483i | 0.154541 | − | 0.178350i | ||||
\(523\) | −6.37553 | + | 13.9605i | −0.278782 | + | 0.610448i | −0.996286 | − | 0.0861066i | \(-0.972557\pi\) |
0.717504 | + | 0.696555i | \(0.245285\pi\) | |||||||
\(524\) | −21.0021 | − | 6.16677i | −0.917481 | − | 0.269397i | ||||
\(525\) | 2.37728 | + | 5.20552i | 0.103753 | + | 0.227188i | ||||
\(526\) | −3.74234 | − | 26.0286i | −0.163174 | − | 1.13490i | ||||
\(527\) | 44.8401 | + | 28.8170i | 1.95326 | + | 1.25529i | ||||
\(528\) | 8.51172 | 0.370425 | ||||||||
\(529\) | −14.0579 | + | 18.2038i | −0.611211 | + | 0.791468i | ||||
\(530\) | −0.824873 | −0.0358302 | ||||||||
\(531\) | −1.10707 | − | 0.711470i | −0.0480427 | − | 0.0308752i | ||||
\(532\) | −1.93486 | − | 13.4572i | −0.0838866 | − | 0.583444i | ||||
\(533\) | −12.1299 | − | 26.5608i | −0.525405 | − | 1.15048i | ||||
\(534\) | 5.29449 | + | 1.55460i | 0.229115 | + | 0.0672742i | ||||
\(535\) | −0.449406 | + | 0.984062i | −0.0194295 | + | 0.0425447i | ||||
\(536\) | 0.750954 | − | 0.866647i | 0.0324363 | − | 0.0374334i | ||||
\(537\) | −2.77062 | + | 19.2701i | −0.119561 | + | 0.831565i | ||||
\(538\) | −25.5355 | + | 7.49790i | −1.10091 | + | 0.323257i | ||||
\(539\) | 24.7002 | + | 28.5056i | 1.06391 | + | 1.22782i | ||||
\(540\) | −4.70135 | + | 3.02137i | −0.202314 | + | 0.130019i | ||||
\(541\) | 10.4172 | − | 6.69475i | 0.447872 | − | 0.287830i | −0.297198 | − | 0.954816i | \(-0.596052\pi\) |
0.745070 | + | 0.666986i | \(0.232416\pi\) | |||||||
\(542\) | −6.43495 | − | 7.42633i | −0.276405 | − | 0.318988i | ||||
\(543\) | −6.01598 | + | 1.76645i | −0.258170 | + | 0.0758056i | ||||
\(544\) | 0.820595 | − | 5.70736i | 0.0351827 | − | 0.244701i | ||||
\(545\) | 1.53065 | − | 1.76647i | 0.0655660 | − | 0.0756672i | ||||
\(546\) | 6.09220 | − | 13.3401i | 0.260722 | − | 0.570902i | ||||
\(547\) | 12.7786 | + | 3.75213i | 0.546373 | + | 0.160430i | 0.543258 | − | 0.839566i | \(-0.317190\pi\) |
0.00311472 | + | 0.999995i | \(0.499009\pi\) | |||||||
\(548\) | 1.25166 | + | 2.74076i | 0.0534684 | + | 0.117079i | ||||
\(549\) | 0.849521 | + | 5.90855i | 0.0362567 | + | 0.252171i | ||||
\(550\) | −4.65177 | − | 2.98951i | −0.198352 | − | 0.127473i | ||||
\(551\) | −31.2718 | −1.33222 | ||||||||
\(552\) | 3.25486 | + | 6.62599i | 0.138536 | + | 0.282021i | ||||
\(553\) | −25.8370 | −1.09870 | ||||||||
\(554\) | 9.88738 | + | 6.35423i | 0.420074 | + | 0.269965i | ||||
\(555\) | −0.107376 | − | 0.746816i | −0.00455785 | − | 0.0317006i | ||||
\(556\) | −2.46582 | − | 5.39940i | −0.104574 | − | 0.228986i | ||||
\(557\) | −20.0265 | − | 5.88032i | −0.848552 | − | 0.249157i | −0.171583 | − | 0.985170i | \(-0.554888\pi\) |
−0.676968 | + | 0.736012i | \(0.736707\pi\) | |||||||
\(558\) | 2.42129 | − | 5.30189i | 0.102502 | − | 0.224447i | ||||
\(559\) | 15.1734 | − | 17.5110i | 0.641766 | − | 0.740637i | ||||
\(560\) | −0.529082 | + | 3.67985i | −0.0223578 | + | 0.155502i | ||||
\(561\) | 47.0910 | − | 13.8272i | 1.98818 | − | 0.583783i | ||||
\(562\) | 9.65033 | + | 11.1371i | 0.407074 | + | 0.469789i | ||||
\(563\) | 2.24841 | − | 1.44497i | 0.0947593 | − | 0.0608981i | −0.492403 | − | 0.870367i | \(-0.663881\pi\) |
0.587162 | + | 0.809469i | \(0.300245\pi\) | |||||||
\(564\) | 12.6069 | − | 8.10194i | 0.530845 | − | 0.341153i | ||||
\(565\) | 10.4804 | + | 12.0950i | 0.440914 | + | 0.508842i | ||||
\(566\) | 1.98604 | − | 0.583155i | 0.0834797 | − | 0.0245118i | ||||
\(567\) | −3.55059 | + | 24.6949i | −0.149111 | + | 1.03709i | ||||
\(568\) | −1.87793 | + | 2.16724i | −0.0787961 | + | 0.0909355i | ||||
\(569\) | −7.14159 | + | 15.6379i | −0.299391 | + | 0.655575i | −0.998215 | − | 0.0597184i | \(-0.980980\pi\) |
0.698824 | + | 0.715294i | \(0.253707\pi\) | |||||||
\(570\) | 5.40124 | + | 1.58595i | 0.226233 | + | 0.0664280i | ||||
\(571\) | −10.9506 | − | 23.9786i | −0.458270 | − | 1.00347i | −0.987879 | − | 0.155229i | \(-0.950388\pi\) |
0.529609 | − | 0.848242i | \(-0.322339\pi\) | |||||||
\(572\) | 2.01667 | + | 14.0263i | 0.0843213 | + | 0.586468i | ||||
\(573\) | 7.95391 | + | 5.11167i | 0.332279 | + | 0.213543i | ||||
\(574\) | 42.3599 | 1.76807 | ||||||||
\(575\) | 0.548378 | − | 4.76438i | 0.0228689 | − | 0.198688i | ||||
\(576\) | −0.630528 | −0.0262720 | ||||||||
\(577\) | 12.1869 | + | 7.83208i | 0.507349 | + | 0.326054i | 0.769150 | − | 0.639068i | \(-0.220680\pi\) |
−0.261801 | + | 0.965122i | \(0.584316\pi\) | |||||||
\(578\) | −2.31224 | − | 16.0820i | −0.0961765 | − | 0.668923i | ||||
\(579\) | −4.17888 | − | 9.15047i | −0.173668 | − | 0.380281i | ||||
\(580\) | 8.20482 | + | 2.40915i | 0.340687 | + | 0.100035i | ||||
\(581\) | −15.2351 | + | 33.3603i | −0.632060 | + | 1.38402i | ||||
\(582\) | 2.57781 | − | 2.97495i | 0.106854 | − | 0.123316i | ||||
\(583\) | 0.649126 | − | 4.51477i | 0.0268840 | − | 0.186983i | ||||
\(584\) | 3.08927 | − | 0.907091i | 0.127835 | − | 0.0375357i | ||||
\(585\) | −1.05815 | − | 1.22117i | −0.0437491 | − | 0.0504891i | ||||
\(586\) | −17.1984 | + | 11.0527i | −0.710459 | + | 0.456584i | ||||
\(587\) | 8.36209 | − | 5.37399i | 0.345141 | − | 0.221808i | −0.356573 | − | 0.934267i | \(-0.616055\pi\) |
0.701714 | + | 0.712459i | \(0.252419\pi\) | |||||||
\(588\) | 6.87599 | + | 7.93531i | 0.283561 | + | 0.327247i | ||||
\(589\) | −32.4361 | + | 9.52409i | −1.33651 | + | 0.392433i | ||||
\(590\) | 0.297026 | − | 2.06586i | 0.0122284 | − | 0.0850501i | ||||
\(591\) | 4.49131 | − | 5.18324i | 0.184748 | − | 0.213210i | ||||
\(592\) | 0.203617 | − | 0.445858i | 0.00836859 | − | 0.0183247i | ||||
\(593\) | −16.5529 | − | 4.86038i | −0.679748 | − | 0.199592i | −0.0764086 | − | 0.997077i | \(-0.524345\pi\) |
−0.603339 | + | 0.797485i | \(0.706164\pi\) | |||||||
\(594\) | −12.8372 | − | 28.1095i | −0.526715 | − | 1.15335i | ||||
\(595\) | 3.05071 | + | 21.2182i | 0.125067 | + | 0.869861i | ||||
\(596\) | 1.25623 | + | 0.807327i | 0.0514570 | + | 0.0330694i | ||||
\(597\) | 23.2638 | 0.952123 | ||||||||
\(598\) | −10.1476 | + | 6.93349i | −0.414968 | + | 0.283531i | ||||
\(599\) | −7.22276 | −0.295114 | −0.147557 | − | 0.989054i | \(-0.547141\pi\) | ||||
−0.147557 | + | 0.989054i | \(0.547141\pi\) | |||||||
\(600\) | −1.29495 | − | 0.832213i | −0.0528661 | − | 0.0339750i | ||||
\(601\) | 3.33498 | + | 23.1953i | 0.136037 | + | 0.946157i | 0.937468 | + | 0.348070i | \(0.113163\pi\) |
−0.801432 | + | 0.598086i | \(0.795928\pi\) | |||||||
\(602\) | 13.9635 | + | 30.5758i | 0.569111 | + | 1.24618i | ||||
\(603\) | −0.693762 | − | 0.203707i | −0.0282522 | − | 0.00829558i | ||||
\(604\) | −6.49652 | + | 14.2254i | −0.264339 | + | 0.578823i | ||||
\(605\) | 12.8197 | − | 14.7947i | 0.521193 | − | 0.601489i | ||||
\(606\) | −1.53252 | + | 10.6589i | −0.0622544 | + | 0.432989i | ||||
\(607\) | −31.1391 | + | 9.14327i | −1.26390 | + | 0.371114i | −0.843944 | − | 0.536431i | \(-0.819772\pi\) |
−0.419954 | + | 0.907545i | \(0.637954\pi\) | |||||||
\(608\) | 2.39483 | + | 2.76378i | 0.0971232 | + | 0.112086i | ||||
\(609\) | 41.1673 | − | 26.4566i | 1.66818 | − | 1.07208i | ||||
\(610\) | −7.96428 | + | 5.11833i | −0.322464 | + | 0.207235i | ||||
\(611\) | 16.3379 | + | 18.8550i | 0.660962 | + | 0.762791i | ||||
\(612\) | −3.48839 | + | 1.02428i | −0.141010 | + | 0.0414042i | ||||
\(613\) | 0.820567 | − | 5.70717i | 0.0331424 | − | 0.230510i | −0.966517 | − | 0.256602i | \(-0.917397\pi\) |
0.999660 | + | 0.0260916i | \(0.00830617\pi\) | |||||||
\(614\) | 6.13763 | − | 7.08321i | 0.247695 | − | 0.285855i | ||||
\(615\) | −7.28602 | + | 15.9542i | −0.293801 | + | 0.643334i | ||||
\(616\) | −19.7245 | − | 5.79164i | −0.794723 | − | 0.233352i | ||||
\(617\) | −0.560682 | − | 1.22772i | −0.0225722 | − | 0.0494262i | 0.898010 | − | 0.439975i | \(-0.145013\pi\) |
−0.920582 | + | 0.390549i | \(0.872285\pi\) | |||||||
\(618\) | −0.381273 | − | 2.65181i | −0.0153370 | − | 0.106671i | ||||
\(619\) | 12.4497 | + | 8.00094i | 0.500396 | + | 0.321585i | 0.766375 | − | 0.642394i | \(-0.222059\pi\) |
−0.265979 | + | 0.963979i | \(0.585695\pi\) | |||||||
\(620\) | 9.24402 | 0.371249 | ||||||||
\(621\) | 16.9731 | − | 20.7421i | 0.681106 | − | 0.832353i | ||||
\(622\) | 7.48356 | 0.300064 | ||||||||
\(623\) | −11.2113 | − | 7.20507i | −0.449171 | − | 0.288665i | ||||
\(624\) | 0.561396 | + | 3.90460i | 0.0224738 | + | 0.156309i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 2.67346 | + | 0.784999i | 0.106853 | + | 0.0313749i | ||||
\(627\) | −12.9308 | + | 28.3145i | −0.516406 | + | 1.13077i | ||||
\(628\) | −3.99912 | + | 4.61523i | −0.159582 | + | 0.184168i | ||||
\(629\) | 0.402216 | − | 2.79748i | 0.0160374 | − | 0.111543i | ||||
\(630\) | 2.24915 | − | 0.660411i | 0.0896083 | − | 0.0263114i | ||||
\(631\) | 10.4041 | + | 12.0069i | 0.414179 | + | 0.477988i | 0.924055 | − | 0.382260i | \(-0.124854\pi\) |
−0.509876 | + | 0.860248i | \(0.670309\pi\) | |||||||
\(632\) | 5.84650 | − | 3.75732i | 0.232561 | − | 0.149458i | ||||
\(633\) | 11.1307 | − | 7.15327i | 0.442406 | − | 0.284317i | ||||
\(634\) | −10.3821 | − | 11.9815i | −0.412325 | − | 0.475848i | ||||
\(635\) | −2.36441 | + | 0.694253i | −0.0938287 | + | 0.0275506i | ||||
\(636\) | 0.180702 | − | 1.25681i | 0.00716530 | − | 0.0498358i | ||||
\(637\) | −11.4473 | + | 13.2109i | −0.453558 | + | 0.523434i | ||||
\(638\) | −19.6427 | + | 43.0115i | −0.777661 | + | 1.70284i | ||||
\(639\) | 1.73491 | + | 0.509414i | 0.0686318 | + | 0.0201521i | ||||
\(640\) | −0.415415 | − | 0.909632i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | 2.42865 | + | 16.8916i | 0.0959258 | + | 0.667179i | 0.979877 | + | 0.199600i | \(0.0639644\pi\) |
−0.883952 | + | 0.467579i | \(0.845127\pi\) | |||||||
\(642\) | −1.40091 | − | 0.900308i | −0.0552894 | − | 0.0355323i | ||||
\(643\) | 40.2129 | 1.58584 | 0.792920 | − | 0.609326i | \(-0.208560\pi\) | ||||
0.792920 | + | 0.609326i | \(0.208560\pi\) | |||||||
\(644\) | −3.03406 | − | 17.5693i | −0.119559 | − | 0.692329i | ||||
\(645\) | −13.9176 | −0.548007 | ||||||||
\(646\) | 17.7391 | + | 11.4002i | 0.697935 | + | 0.448536i | ||||
\(647\) | 6.35283 | + | 44.1849i | 0.249755 | + | 1.73709i | 0.599618 | + | 0.800286i | \(0.295319\pi\) |
−0.349862 | + | 0.936801i | \(0.613772\pi\) | |||||||
\(648\) | −2.78779 | − | 6.10441i | −0.109515 | − | 0.239804i | ||||
\(649\) | 11.0733 | + | 3.25141i | 0.434665 | + | 0.127629i | ||||
\(650\) | 1.06457 | − | 2.33109i | 0.0417560 | − | 0.0914329i | ||||
\(651\) | 34.6424 | − | 39.9795i | 1.35774 | − | 1.56692i | ||||
\(652\) | −2.33471 | + | 16.2383i | −0.0914343 | + | 0.635940i | ||||
\(653\) | 20.2533 | − | 5.94691i | 0.792573 | − | 0.232721i | 0.139706 | − | 0.990193i | \(-0.455384\pi\) |
0.652867 | + | 0.757472i | \(0.273566\pi\) | |||||||
\(654\) | 2.35615 | + | 2.71914i | 0.0921327 | + | 0.106327i | ||||
\(655\) | −18.4140 | + | 11.8339i | −0.719494 | + | 0.462390i | ||||
\(656\) | −9.58538 | + | 6.16015i | −0.374246 | + | 0.240513i | ||||
\(657\) | −1.32943 | − | 1.53425i | −0.0518662 | − | 0.0598567i | ||||
\(658\) | −34.7271 | + | 10.1968i | −1.35380 | + | 0.397513i | ||||
\(659\) | 2.27383 | − | 15.8148i | 0.0885759 | − | 0.616059i | −0.896384 | − | 0.443278i | \(-0.853816\pi\) |
0.984960 | − | 0.172781i | \(-0.0552753\pi\) | |||||||
\(660\) | 5.57399 | − | 6.43273i | 0.216967 | − | 0.250394i | ||||
\(661\) | 5.58295 | − | 12.2250i | 0.217152 | − | 0.475496i | −0.769437 | − | 0.638723i | \(-0.779463\pi\) |
0.986589 | + | 0.163227i | \(0.0521904\pi\) | |||||||
\(662\) | 10.5463 | + | 3.09667i | 0.409893 | + | 0.120356i | ||||
\(663\) | 9.44888 | + | 20.6902i | 0.366964 | + | 0.803539i | ||||
\(664\) | −1.40392 | − | 9.76447i | −0.0544826 | − | 0.378935i | ||||
\(665\) | −11.4373 | − | 7.35034i | −0.443521 | − | 0.285034i | ||||
\(666\) | −0.309055 | −0.0119756 | ||||||||
\(667\) | −40.9938 | + | 1.15651i | −1.58729 | + | 0.0447802i | ||||
\(668\) | −14.3536 | −0.555357 | ||||||||
\(669\) | −1.60098 | − | 1.02889i | −0.0618975 | − | 0.0397791i | ||||
\(670\) | −0.163198 | − | 1.13507i | −0.00630488 | − | 0.0438514i | ||||
\(671\) | −21.7467 | − | 47.6186i | −0.839522 | − | 1.83830i | ||||
\(672\) | −5.49086 | − | 1.61226i | −0.211815 | − | 0.0621944i | ||||
\(673\) | 13.7339 | − | 30.0731i | 0.529403 | − | 1.15923i | −0.436352 | − | 0.899776i | \(-0.643730\pi\) |
0.965755 | − | 0.259456i | \(-0.0835431\pi\) | |||||||
\(674\) | −15.9895 | + | 18.4529i | −0.615893 | + | 0.710778i | ||||
\(675\) | −0.795327 | + | 5.53162i | −0.0306122 | + | 0.212912i | ||||
\(676\) | 6.17213 | − | 1.81230i | 0.237389 | − | 0.0697038i | ||||
\(677\) | −19.9218 | − | 22.9910i | −0.765658 | − | 0.883616i | 0.230329 | − | 0.973113i | \(-0.426020\pi\) |
−0.995987 | + | 0.0894963i | \(0.971474\pi\) | |||||||
\(678\) | −20.7244 | + | 13.3188i | −0.795915 | + | 0.511504i | ||||
\(679\) | −7.99790 | + | 5.13994i | −0.306931 | + | 0.197253i | ||||
\(680\) | −3.77596 | − | 4.35769i | −0.144802 | − | 0.167110i | ||||
\(681\) | 31.2711 | − | 9.18203i | 1.19831 | − | 0.351856i | ||||
\(682\) | −7.27449 | + | 50.5952i | −0.278555 | + | 1.93739i | ||||
\(683\) | 30.9532 | − | 35.7219i | 1.18439 | − | 1.36686i | 0.269582 | − | 0.962977i | \(-0.413114\pi\) |
0.914810 | − | 0.403884i | \(-0.132340\pi\) | |||||||
\(684\) | 0.957882 | − | 2.09747i | 0.0366255 | − | 0.0801987i | ||||
\(685\) | 2.89099 | + | 0.848872i | 0.110459 | + | 0.0324337i | ||||
\(686\) | 0.276148 | + | 0.604679i | 0.0105434 | + | 0.0230868i | ||||
\(687\) | −2.45832 | − | 17.0980i | −0.0937907 | − | 0.652329i | ||||
\(688\) | −7.60618 | − | 4.88820i | −0.289983 | − | 0.186361i | ||||
\(689\) | 2.11388 | 0.0805325 | ||||||||
\(690\) | 7.13907 | + | 1.87925i | 0.271780 | + | 0.0715417i | ||||
\(691\) | −16.7843 | −0.638507 | −0.319253 | − | 0.947669i | \(-0.603432\pi\) | ||||
−0.319253 | + | 0.947669i | \(0.603432\pi\) | |||||||
\(692\) | −8.75087 | − | 5.62385i | −0.332658 | − | 0.213787i | ||||
\(693\) | 1.84467 | + | 12.8300i | 0.0700732 | + | 0.487370i | ||||
\(694\) | 9.95246 | + | 21.7928i | 0.377790 | + | 0.827245i | ||||
\(695\) | −5.69537 | − | 1.67231i | −0.216038 | − | 0.0634344i | ||||
\(696\) | −5.46808 | + | 11.9734i | −0.207267 | + | 0.453852i | ||||
\(697\) | −43.0239 | + | 49.6522i | −1.62965 | + | 1.88071i | ||||
\(698\) | 0.833102 | − | 5.79435i | 0.0315334 | − | 0.219319i | ||||
\(699\) | 2.11758 | − | 0.621776i | 0.0800941 | − | 0.0235177i | ||||
\(700\) | 2.43457 | + | 2.80964i | 0.0920180 | + | 0.106194i | ||||
\(701\) | −10.7701 | + | 6.92150i | −0.406780 | + | 0.261421i | −0.727992 | − | 0.685586i | \(-0.759546\pi\) |
0.321212 | + | 0.947007i | \(0.395910\pi\) | |||||||
\(702\) | 12.0480 | − | 7.74280i | 0.454724 | − | 0.292233i | ||||
\(703\) | 1.17383 | + | 1.35467i | 0.0442719 | + | 0.0510925i | ||||
\(704\) | 5.30559 | − | 1.55786i | 0.199962 | − | 0.0587141i | ||||
\(705\) | 2.13270 | − | 14.8333i | 0.0803223 | − | 0.558654i | ||||
\(706\) | 9.08570 | − | 10.4855i | 0.341945 | − | 0.394625i | ||||
\(707\) | 10.8040 | − | 23.6575i | 0.406327 | − | 0.889732i | ||||
\(708\) | 3.08256 | + | 0.905121i | 0.115850 | + | 0.0340165i | ||||
\(709\) | −10.6527 | − | 23.3261i | −0.400070 | − | 0.876030i | −0.997263 | − | 0.0739330i | \(-0.976445\pi\) |
0.597194 | − | 0.802097i | \(-0.296282\pi\) | |||||||
\(710\) | 0.408113 | + | 2.83849i | 0.0153162 | + | 0.106526i | ||||
\(711\) | −3.68638 | − | 2.36909i | −0.138250 | − | 0.0888479i | ||||
\(712\) | 3.58473 | 0.134343 | ||||||||
\(713\) | −42.1678 | + | 13.6846i | −1.57920 | + | 0.512492i | ||||
\(714\) | −32.9972 | −1.23489 | ||||||||
\(715\) | 11.9210 | + | 7.66115i | 0.445819 | + | 0.286511i | ||||
\(716\) | 1.79991 | + | 12.5186i | 0.0672658 | + | 0.467844i | ||||
\(717\) | 4.42376 | + | 9.68668i | 0.165208 | + | 0.361756i | ||||
\(718\) | 19.1700 | + | 5.62882i | 0.715419 | + | 0.210066i | ||||
\(719\) | 16.1095 | − | 35.2749i | 0.600784 | − | 1.31553i | −0.327919 | − | 0.944706i | \(-0.606347\pi\) |
0.928702 | − | 0.370827i | \(-0.120926\pi\) | |||||||
\(720\) | −0.412908 | + | 0.476521i | −0.0153882 | + | 0.0177589i | ||||
\(721\) | −0.920837 | + | 6.40456i | −0.0342938 | + | 0.238518i | ||||
\(722\) | 5.39840 | − | 1.58511i | 0.200908 | − | 0.0589918i | ||||
\(723\) | −16.6176 | − | 19.1778i | −0.618016 | − | 0.713229i | ||||
\(724\) | −3.42662 | + | 2.20215i | −0.127349 | + | 0.0818424i | ||||
\(725\) | 7.19373 | − | 4.62313i | 0.267168 | − | 0.171699i | ||||
\(726\) | 19.7334 | + | 22.7736i | 0.732376 | + | 0.845207i | ||||
\(727\) | 21.3475 | − | 6.26818i | 0.791734 | − | 0.232474i | 0.139231 | − | 0.990260i | \(-0.455537\pi\) |
0.652503 | + | 0.757786i | \(0.273719\pi\) | |||||||
\(728\) | 1.35587 | − | 9.43025i | 0.0502517 | − | 0.349508i | ||||
\(729\) | −19.6712 | + | 22.7017i | −0.728561 | + | 0.840804i | ||||
\(730\) | 1.33751 | − | 2.92873i | 0.0495033 | − | 0.108397i | ||||
\(731\) | −50.0219 | − | 14.6878i | −1.85013 | − | 0.543246i | ||||
\(732\) | −6.05380 | − | 13.2560i | −0.223755 | − | 0.489955i | ||||
\(733\) | −0.566725 | − | 3.94166i | −0.0209325 | − | 0.145588i | 0.976675 | − | 0.214724i | \(-0.0688851\pi\) |
−0.997607 | + | 0.0691352i | \(0.977976\pi\) | |||||||
\(734\) | 4.56863 | + | 2.93608i | 0.168631 | + | 0.108373i | ||||
\(735\) | 10.4999 | 0.387295 | ||||||||
\(736\) | 3.24156 | + | 3.53444i | 0.119486 | + | 0.130281i | ||||
\(737\) | 6.34097 | 0.233573 | ||||||||
\(738\) | 6.04385 | + | 3.88414i | 0.222477 | + | 0.142977i | ||||
\(739\) | 6.56813 | + | 45.6824i | 0.241613 | + | 1.68045i | 0.644032 | + | 0.764998i | \(0.277260\pi\) |
−0.402420 | + | 0.915455i | \(0.631831\pi\) | |||||||
\(740\) | −0.203617 | − | 0.445858i | −0.00748509 | − | 0.0163901i | ||||
\(741\) | −13.8416 | − | 4.06427i | −0.508485 | − | 0.149305i | ||||
\(742\) | −1.27392 | + | 2.78949i | −0.0467671 | + | 0.102406i | ||||
\(743\) | −30.2001 | + | 34.8528i | −1.10793 | + | 1.27862i | −0.150932 | + | 0.988544i | \(0.548227\pi\) |
−0.957002 | + | 0.290080i | \(0.906318\pi\) | |||||||
\(744\) | −2.02506 | + | 14.0846i | −0.0742421 | + | 0.516365i | ||||
\(745\) | 1.43279 | − | 0.420705i | 0.0524934 | − | 0.0154134i | ||||
\(746\) | 20.0954 | + | 23.1913i | 0.735745 | + | 0.849095i | ||||
\(747\) | −5.23266 | + | 3.36283i | −0.191453 | + | 0.123039i | ||||
\(748\) | 26.8224 | − | 17.2377i | 0.980723 | − | 0.630272i | ||||
\(749\) | 2.63377 | + | 3.03954i | 0.0962360 | + | 0.111062i | ||||
\(750\) | −1.47696 | + | 0.433673i | −0.0539308 | + | 0.0158355i | ||||
\(751\) | −6.85019 | + | 47.6441i | −0.249967 | + | 1.73856i | 0.348408 | + | 0.937343i | \(0.386723\pi\) |
−0.598375 | + | 0.801216i | \(0.704187\pi\) | |||||||
\(752\) | 6.37534 | − | 7.35754i | 0.232485 | − | 0.268302i | ||||
\(753\) | −13.5452 | + | 29.6598i | −0.493613 | + | 1.08086i | ||||
\(754\) | −21.0263 | − | 6.17388i | −0.765732 | − | 0.224839i | ||||
\(755\) | 6.49652 | + | 14.2254i | 0.236432 | + | 0.517715i | ||||
\(756\) | 2.95678 | + | 20.5648i | 0.107537 | + | 0.747936i | ||||
\(757\) | 14.2466 | + | 9.15572i | 0.517800 | + | 0.332770i | 0.773301 | − | 0.634039i | \(-0.218604\pi\) |
−0.255501 | + | 0.966809i | \(0.582240\pi\) | |||||||
\(758\) | 11.4897 | 0.417326 | ||||||||
\(759\) | −15.9037 | + | 37.5953i | −0.577267 | + | 1.36462i | ||||
\(760\) | 3.65701 | 0.132654 | ||||||||
\(761\) | 16.3004 | + | 10.4756i | 0.590888 | + | 0.379741i | 0.801647 | − | 0.597797i | \(-0.203957\pi\) |
−0.210759 | + | 0.977538i | \(0.567594\pi\) | |||||||
\(762\) | −0.539830 | − | 3.75460i | −0.0195560 | − | 0.136015i | ||||
\(763\) | −3.60980 | − | 7.90436i | −0.130684 | − | 0.286157i | ||||
\(764\) | 5.89345 | + | 1.73047i | 0.213218 | + | 0.0626063i | ||||
\(765\) | −1.51031 | + | 3.30711i | −0.0546052 | + | 0.119569i | ||||
\(766\) | 6.94549 | − | 8.01553i | 0.250951 | − | 0.289613i | ||||
\(767\) | −0.761180 | + | 5.29413i | −0.0274846 | + | 0.191160i | ||||
\(768\) | 1.47696 | − | 0.433673i | 0.0532951 | − | 0.0156488i | ||||
\(769\) | −23.2957 | − | 26.8847i | −0.840065 | − | 0.969487i | 0.159779 | − | 0.987153i | \(-0.448922\pi\) |
−0.999844 | + | 0.0176659i | \(0.994376\pi\) | |||||||
\(770\) | −17.2938 | + | 11.1141i | −0.623226 | + | 0.400523i | ||||
\(771\) | −0.815338 | + | 0.523986i | −0.0293637 | + | 0.0188709i | ||||
\(772\) | −4.27958 | − | 4.93890i | −0.154025 | − | 0.177755i | ||||
\(773\) | 10.0230 | − | 2.94301i | 0.360501 | − | 0.105853i | −0.0964659 | − | 0.995336i | \(-0.530754\pi\) |
0.456967 | + | 0.889484i | \(0.348936\pi\) | |||||||
\(774\) | −0.811324 | + | 5.64288i | −0.0291624 | + | 0.202829i | ||||
\(775\) | 6.05355 | − | 6.98617i | 0.217450 | − | 0.250950i | ||||
\(776\) | 1.06233 | − | 2.32617i | 0.0381353 | − | 0.0835047i | ||||
\(777\) | −2.69136 | − | 0.790254i | −0.0965519 | − | 0.0283502i | ||||
\(778\) | −15.2356 | − | 33.3614i | −0.546224 | − | 1.19606i | ||||
\(779\) | −5.93005 | − | 41.2444i | −0.212466 | − | 1.47773i | ||||
\(780\) | 3.31853 | + | 2.13269i | 0.118823 | + | 0.0763626i | ||||
\(781\) | −15.8570 | −0.567408 | ||||||||
\(782\) | 23.6756 | + | 14.2884i | 0.846636 | + | 0.510951i | ||||
\(783\) | 47.7884 | 1.70782 | ||||||||
\(784\) | 5.73835 | + | 3.68781i | 0.204941 | + | 0.131708i | ||||
\(785\) | 0.869093 | + | 6.04467i | 0.0310192 | + | 0.215744i | ||||
\(786\) | −13.9968 | − | 30.6487i | −0.499249 | − | 1.09320i | ||||
\(787\) | −6.74204 | − | 1.97964i | −0.240328 | − | 0.0705666i | 0.159351 | − | 0.987222i | \(-0.449060\pi\) |
−0.399678 | + | 0.916655i | \(0.630878\pi\) | |||||||
\(788\) | 1.85089 | − | 4.05288i | 0.0659351 | − | 0.144378i | ||||
\(789\) | 26.5074 | − | 30.5912i | 0.943690 | − | 1.08908i | ||||
\(790\) | 0.989052 | − | 6.87901i | 0.0351889 | − | 0.244744i | ||||
\(791\) | 57.0878 | − | 16.7625i | 2.02981 | − | 0.596006i | ||||
\(792\) | −2.28320 | − | 2.63496i | −0.0811301 | − | 0.0936291i | ||||
\(793\) | 20.4099 | − | 13.1166i | 0.724776 | − | 0.465785i | ||||
\(794\) | −3.60201 | + | 2.31487i | −0.127831 | + | 0.0821518i | ||||
\(795\) | −0.831499 | − | 0.959601i | −0.0294902 | − | 0.0340335i | ||||
\(796\) | 14.5009 | − | 4.25786i | 0.513972 | − | 0.150916i | ||||
\(797\) | 6.70998 | − | 46.6689i | 0.237680 | − | 1.65310i | −0.425736 | − | 0.904848i | \(-0.639985\pi\) |
0.663415 | − | 0.748251i | \(-0.269106\pi\) | |||||||
\(798\) | 13.7048 | − | 15.8162i | 0.485145 | − | 0.559887i | ||||
\(799\) | 23.3193 | − | 51.0621i | 0.824977 | − | 1.80645i | ||||
\(800\) | −0.959493 | − | 0.281733i | −0.0339232 | − | 0.00996075i | ||||
\(801\) | −0.938951 | − | 2.05602i | −0.0331762 | − | 0.0726457i | ||||
\(802\) | −3.84716 | − | 26.7576i | −0.135848 | − | 0.944843i | ||||
\(803\) | 14.9772 | + | 9.62529i | 0.528536 | + | 0.339669i | ||||
\(804\) | 1.76518 | 0.0622533 | ||||||||
\(805\) | −15.2649 | − | 9.21248i | −0.538017 | − | 0.324697i | ||||
\(806\) | −23.6894 | −0.834424 | ||||||||
\(807\) | −34.4632 | − | 22.1481i | −1.21316 | − | 0.779651i | ||||
\(808\) | 0.995590 | + | 6.92448i | 0.0350247 | + | 0.243602i | ||||
\(809\) | 10.1032 | + | 22.1229i | 0.355209 | + | 0.777799i | 0.999911 | + | 0.0133649i | \(0.00425429\pi\) |
−0.644702 | + | 0.764434i | \(0.723018\pi\) | |||||||
\(810\) | −6.43901 | − | 1.89067i | −0.226244 | − | 0.0664312i | ||||
\(811\) | −19.9309 | + | 43.6426i | −0.699869 | + | 1.53250i | 0.140261 | + | 0.990115i | \(0.455206\pi\) |
−0.840130 | + | 0.542385i | \(0.817521\pi\) | |||||||
\(812\) | 20.8185 | − | 24.0258i | 0.730585 | − | 0.843140i | ||||
\(813\) | 2.15265 | − | 14.9720i | 0.0754966 | − | 0.525090i | ||||
\(814\) | 2.60054 | − | 0.763589i | 0.0911490 | − | 0.0267638i | ||||
\(815\) | 10.7432 | + | 12.3983i | 0.376316 | + | 0.434292i | ||||
\(816\) | 7.46674 | − | 4.79859i | 0.261388 | − | 0.167984i | ||||
\(817\) | 27.8159 | − | 17.8762i | 0.973154 | − | 0.625408i | ||||
\(818\) | 17.5223 | + | 20.2218i | 0.612654 | + | 0.707040i | ||||
\(819\) | −5.76385 | + | 1.69242i | −0.201405 | + | 0.0591379i | ||||
\(820\) | −1.62156 | + | 11.2782i | −0.0566273 | + | 0.393851i | ||||
\(821\) | −23.5725 | + | 27.2041i | −0.822684 | + | 0.949428i | −0.999393 | − | 0.0348348i | \(-0.988909\pi\) |
0.176709 | + | 0.984263i | \(0.443455\pi\) | |||||||
\(822\) | −1.92669 | + | 4.21887i | −0.0672012 | + | 0.147150i | ||||
\(823\) | 25.5982 | + | 7.51631i | 0.892297 | + | 0.262002i | 0.695572 | − | 0.718457i | \(-0.255151\pi\) |
0.196725 | + | 0.980459i | \(0.436969\pi\) | |||||||
\(824\) | −0.723006 | − | 1.58316i | −0.0251871 | − | 0.0551521i | ||||
\(825\) | −1.21134 | − | 8.42508i | −0.0421736 | − | 0.293324i | ||||
\(826\) | −6.52745 | − | 4.19494i | −0.227119 | − | 0.145960i | ||||
\(827\) | −1.18494 | −0.0412043 | −0.0206021 | − | 0.999788i | \(-0.506558\pi\) | ||||
−0.0206021 | + | 0.999788i | \(0.506558\pi\) | |||||||
\(828\) | 1.17811 | − | 2.78497i | 0.0409420 | − | 0.0967844i | ||||
\(829\) | 11.1131 | 0.385974 | 0.192987 | − | 0.981201i | \(-0.438182\pi\) | ||||
0.192987 | + | 0.981201i | \(0.438182\pi\) | |||||||
\(830\) | −8.29886 | − | 5.33336i | −0.288058 | − | 0.185124i | ||||
\(831\) | 2.57472 | + | 17.9076i | 0.0893161 | + | 0.621207i | ||||
\(832\) | 1.06457 | + | 2.33109i | 0.0369075 | + | 0.0808161i | ||||
\(833\) | 37.7382 | + | 11.0809i | 1.30755 | + | 0.383931i | ||||
\(834\) | 3.79567 | − | 8.31135i | 0.131433 | − | 0.287799i | ||||
\(835\) | −9.39961 | + | 10.8477i | −0.325287 | + | 0.375401i | ||||
\(836\) | −2.87785 | + | 20.0159i | −0.0995324 | + | 0.692263i | ||||
\(837\) | 49.5676 | − | 14.5544i | 1.71331 | − | 0.503073i | ||||
\(838\) | 3.00033 | + | 3.46256i | 0.103645 | + | 0.119612i | ||||
\(839\) | −20.3005 | + | 13.0463i | −0.700851 | + | 0.450410i | −0.841929 | − | 0.539589i | \(-0.818580\pi\) |
0.141078 | + | 0.989999i | \(0.454943\pi\) | |||||||
\(840\) | −4.81421 | + | 3.09391i | −0.166106 | + | 0.106750i | ||||
\(841\) | −28.8945 | − | 33.3460i | −0.996361 | − | 1.14986i | ||||
\(842\) | 13.9717 | − | 4.10246i | 0.481496 | − | 0.141380i | ||||
\(843\) | −3.22826 | + | 22.4531i | −0.111187 | + | 0.773325i | ||||
\(844\) | 5.62884 | − | 6.49603i | 0.193753 | − | 0.223602i | ||||
\(845\) | 2.67224 | − | 5.85138i | 0.0919278 | − | 0.201294i | ||||
\(846\) | −5.88980 | − | 1.72940i | −0.202495 | − | 0.0594580i | ||||
\(847\) | −30.2331 | − | 66.2012i | −1.03882 | − | 2.27470i | ||||
\(848\) | −0.117392 | − | 0.816477i | −0.00403125 | − | 0.0280379i | ||||
\(849\) | 2.68040 | + | 1.72259i | 0.0919912 | + | 0.0591191i | ||||
\(850\) | −5.76605 | −0.197774 | ||||||||
\(851\) | 1.58886 | + | 1.73241i | 0.0544654 | + | 0.0593864i | ||||
\(852\) | −4.41424 | −0.151229 | ||||||||
\(853\) | −40.6178 | − | 26.1035i | −1.39073 | − | 0.893766i | −0.391081 | − | 0.920356i | \(-0.627899\pi\) |
−0.999646 | + | 0.0265898i | \(0.991535\pi\) | |||||||
\(854\) | 5.00890 | + | 34.8377i | 0.171401 | + | 1.19212i | ||||
\(855\) | −0.957882 | − | 2.09747i | −0.0327589 | − | 0.0717319i | ||||
\(856\) | −1.03800 | − | 0.304785i | −0.0354782 | − | 0.0104173i | ||||
\(857\) | −8.83336 | + | 19.3424i | −0.301742 | + | 0.660722i | −0.998392 | − | 0.0566887i | \(-0.981946\pi\) |
0.696650 | + | 0.717411i | \(0.254673\pi\) | |||||||
\(858\) | −14.2843 | + | 16.4850i | −0.487659 | + | 0.562789i | ||||
\(859\) | −0.768506 | + | 5.34508i | −0.0262211 | + | 0.182372i | −0.998723 | − | 0.0505238i | \(-0.983911\pi\) |
0.972502 | + | 0.232896i | \(0.0748200\pi\) | |||||||
\(860\) | −8.67524 | + | 2.54728i | −0.295823 | + | 0.0868616i | ||||
\(861\) | 42.7002 | + | 49.2787i | 1.45522 | + | 1.67941i | ||||
\(862\) | −6.89156 | + | 4.42894i | −0.234728 | + | 0.150850i | ||||
\(863\) | −35.9868 | + | 23.1273i | −1.22500 | + | 0.787262i | −0.983106 | − | 0.183040i | \(-0.941406\pi\) |
−0.241898 | + | 0.970302i | \(0.577770\pi\) | |||||||
\(864\) | −3.65969 | − | 4.22351i | −0.124505 | − | 0.143687i | ||||
\(865\) | −9.98082 | + | 2.93063i | −0.339358 | + | 0.0996445i | ||||
\(866\) | −0.585457 | + | 4.07194i | −0.0198946 | + | 0.138370i | ||||
\(867\) | 16.3779 | − | 18.9011i | 0.556222 | − | 0.641914i | ||||
\(868\) | 14.2763 | − | 31.2608i | 0.484569 | − | 1.06106i | ||||
\(869\) | 36.8725 | + | 10.8267i | 1.25081 | + | 0.367272i | ||||
\(870\) | 5.46808 | + | 11.9734i | 0.185385 | + | 0.405937i | ||||
\(871\) | 0.418223 | + | 2.90881i | 0.0141710 | + | 0.0985611i | ||||
\(872\) | 1.96632 | + | 1.26368i | 0.0665881 | + | 0.0427936i | ||||
\(873\) | −1.61243 | −0.0545724 | ||||||||
\(874\) | −16.6819 | + | 5.41373i | −0.564274 | + | 0.183122i | ||||
\(875\) | 3.71769 | 0.125681 | ||||||||
\(876\) | 4.16933 | + | 2.67947i | 0.140869 | + | 0.0905308i | ||||
\(877\) | −2.20561 | − | 15.3404i | −0.0744782 | − | 0.518007i | −0.992573 | − | 0.121647i | \(-0.961182\pi\) |
0.918095 | − | 0.396360i | \(-0.129727\pi\) | |||||||
\(878\) | −3.23665 | − | 7.08728i | −0.109232 | − | 0.239184i | ||||
\(879\) | −30.1946 | − | 8.86592i | −1.01844 | − | 0.299040i | ||||
\(880\) | 2.29707 | − | 5.02988i | 0.0774341 | − | 0.169557i | ||||
\(881\) | 4.08664 | − | 4.71624i | 0.137683 | − | 0.158894i | −0.682721 | − | 0.730679i | \(-0.739203\pi\) |
0.820403 | + | 0.571785i | \(0.193749\pi\) | |||||||
\(882\) | 0.612089 | − | 4.25717i | 0.0206101 | − | 0.143346i | ||||
\(883\) | −13.9018 | + | 4.08192i | −0.467831 | + | 0.137368i | −0.507148 | − | 0.861859i | \(-0.669300\pi\) |
0.0393164 | + | 0.999227i | \(0.487482\pi\) | |||||||
\(884\) | 9.67656 | + | 11.1673i | 0.325458 | + | 0.375599i | ||||
\(885\) | 2.70269 | − | 1.73691i | 0.0908500 | − | 0.0583857i | ||||
\(886\) | 30.8087 | − | 19.7996i | 1.03504 | − | 0.665179i | ||||
\(887\) | 0.872745 | + | 1.00720i | 0.0293039 | + | 0.0338185i | 0.770212 | − | 0.637788i | \(-0.220150\pi\) |
−0.740908 | + | 0.671606i | \(0.765605\pi\) | |||||||
\(888\) | 0.723933 | − | 0.212566i | 0.0242936 | − | 0.00713325i | ||||
\(889\) | −1.30378 | + | 9.06798i | −0.0437273 | + | 0.304130i | ||||
\(890\) | 2.34750 | − | 2.70916i | 0.0786883 | − | 0.0908112i | ||||
\(891\) | 15.4153 | − | 33.7547i | 0.516431 | − | 1.13083i | ||||
\(892\) | −1.18625 | − | 0.348314i | −0.0397185 | − | 0.0116624i | ||||
\(893\) | 14.7898 | + | 32.3851i | 0.494922 | + | 1.08373i | ||||
\(894\) | 0.327127 | + | 2.27522i | 0.0109408 | + | 0.0760947i | ||||
\(895\) | 10.6397 | + | 6.83769i | 0.355644 | + | 0.228559i | ||||
\(896\) | −3.71769 | −0.124199 | ||||||||
\(897\) | −18.2951 | − | 4.81590i | −0.610856 | − | 0.160798i | ||||
\(898\) | 3.52535 | 0.117642 | ||||||||
\(899\) | −66.4990 | − | 42.7363i | −2.21787 | − | 1.42534i | ||||
\(900\) | 0.0897335 | + | 0.624110i | 0.00299112 | + | 0.0208037i | ||||
\(901\) | −1.97582 | − | 4.32645i | −0.0658242 | − | 0.144135i | ||||
\(902\) | −60.4527 | − | 17.7505i | −2.01285 | − | 0.591028i | ||||
\(903\) | −21.4942 | + | 47.0657i | −0.715281 | + | 1.56625i | ||||
\(904\) | −10.4804 | + | 12.0950i | −0.348573 | + | 0.402275i | ||||
\(905\) | −0.579681 | + | 4.03177i | −0.0192692 | + | 0.134020i | ||||
\(906\) | −23.0975 | + | 6.78205i | −0.767365 | + | 0.225319i | ||||
\(907\) | −17.4080 | − | 20.0899i | −0.578024 | − | 0.667076i | 0.389154 | − | 0.921173i | \(-0.372767\pi\) |
−0.967179 | + | 0.254097i | \(0.918222\pi\) | |||||||
\(908\) | 17.8116 | − | 11.4468i | 0.591098 | − | 0.379876i | ||||
\(909\) | 3.71075 | − | 2.38475i | 0.123078 | − | 0.0790973i | ||||
\(910\) | −6.23900 | − | 7.20020i | −0.206821 | − | 0.238684i | ||||
\(911\) | 10.5497 | − | 3.09766i | 0.349526 | − | 0.102630i | −0.102257 | − | 0.994758i | \(-0.532606\pi\) |
0.451783 | + | 0.892128i | \(0.350788\pi\) | |||||||
\(912\) | −0.801128 | + | 5.57196i | −0.0265280 | + | 0.184506i | ||||
\(913\) | 35.7217 | − | 41.2251i | 1.18222 | − | 1.36435i | ||||
\(914\) | 12.6748 | − | 27.7539i | 0.419244 | − | 0.918016i | ||||
\(915\) | −13.9826 | − | 4.10566i | −0.462250 | − | 0.135729i | ||||
\(916\) | −4.66170 | − | 10.2077i | −0.154027 | − | 0.337272i | ||||
\(917\) | 11.5809 | + | 80.5472i | 0.382436 | + | 2.65990i | ||||
\(918\) | −27.1082 | − | 17.4214i | −0.894705 | − | 0.574992i | ||||
\(919\) | −29.3494 | −0.968148 | −0.484074 | − | 0.875027i | \(-0.660844\pi\) | ||||
−0.484074 | + | 0.875027i | \(0.660844\pi\) | |||||||
\(920\) | 4.79392 | − | 0.135245i | 0.158051 | − | 0.00445890i | ||||
\(921\) | 14.4271 | 0.475388 | ||||||||
\(922\) | −5.47545 | − | 3.51886i | −0.180324 | − | 0.115887i | ||||
\(923\) | −1.04586 | − | 7.27412i | −0.0344249 | − | 0.239430i | ||||
\(924\) | −13.1454 | − | 28.7843i | −0.432450 | − | 0.946934i | ||||
\(925\) | −0.470298 | − | 0.138092i | −0.0154633 | − | 0.00454043i | ||||
\(926\) | 1.96474 | − | 4.30219i | 0.0645655 | − | 0.141379i | ||||
\(927\) | −0.718643 | + | 0.829358i | −0.0236033 | + | 0.0272397i | ||||
\(928\) | −1.21696 | + | 8.46416i | −0.0399488 | + | 0.277850i | ||||
\(929\) | −49.0664 | + | 14.4072i | −1.60982 | + | 0.472685i | −0.958256 | − | 0.285911i | \(-0.907704\pi\) |
−0.651561 | + | 0.758596i | \(0.725886\pi\) | |||||||
\(930\) | 9.31828 | + | 10.7539i | 0.305558 | + | 0.352633i | ||||
\(931\) | −20.9852 | + | 13.4864i | −0.687762 | + | 0.441998i | ||||
\(932\) | 1.20614 | − | 0.775140i | 0.0395085 | − | 0.0253906i | ||||
\(933\) | 7.54368 | + | 8.70587i | 0.246969 | + | 0.285017i | ||||
\(934\) | −25.6287 | + | 7.52526i | −0.838596 | + | 0.246234i | ||||
\(935\) | 4.53754 | − | 31.5593i | 0.148393 | − | 1.03210i | ||||
\(936\) | 1.05815 | − | 1.22117i | 0.0345867 | − | 0.0399152i | ||||
\(937\) | 20.6118 | − | 45.1335i | 0.673358 | − | 1.47445i | −0.196173 | − | 0.980569i | \(-0.562851\pi\) |
0.869531 | − | 0.493879i | \(-0.164421\pi\) | |||||||
\(938\) | −4.09052 | − | 1.20109i | −0.133560 | − | 0.0392168i | ||||
\(939\) | 1.78172 | + | 3.90143i | 0.0581443 | + | 0.127318i | ||||
\(940\) | −1.38549 | − | 9.63632i | −0.0451898 | − | 0.314302i | ||||
\(941\) | 16.4081 | + | 10.5448i | 0.534889 | + | 0.343752i | 0.780037 | − | 0.625733i | \(-0.215200\pi\) |
−0.245148 | + | 0.969486i | \(0.578837\pi\) | |||||||
\(942\) | −9.40030 | −0.306278 | ||||||||
\(943\) | −9.29895 | − | 53.8475i | −0.302815 | − | 1.75351i | ||||
\(944\) | 2.08710 | 0.0679294 | ||||||||
\(945\) | 17.4781 | + | 11.2325i | 0.568564 | + | 0.365394i | ||||
\(946\) | −7.11511 | − | 49.4867i | −0.231332 | − | 1.60895i | ||||
\(947\) | 16.5532 | + | 36.2466i | 0.537908 | + | 1.17785i | 0.962204 | + | 0.272331i | \(0.0877945\pi\) |
−0.424295 | + | 0.905524i | \(0.639478\pi\) | |||||||
\(948\) | 10.2645 | + | 3.01392i | 0.333374 | + | 0.0978876i | ||||
\(949\) | −3.42759 | + | 7.50538i | −0.111264 | + | 0.243635i | ||||
\(950\) | 2.39483 | − | 2.76378i | 0.0776985 | − | 0.0896689i | ||||
\(951\) | 3.47305 | − | 24.1556i | 0.112621 | − | 0.783299i | ||||
\(952\) | −20.5681 | + | 6.03932i | −0.666614 | + | 0.195736i | ||||
\(953\) | 22.0955 | + | 25.4996i | 0.715744 | + | 0.826012i | 0.990788 | − | 0.135419i | \(-0.0432381\pi\) |
−0.275045 | + | 0.961431i | \(0.588693\pi\) | |||||||
\(954\) | −0.437540 | + | 0.281190i | −0.0141659 | + | 0.00910387i | ||||
\(955\) | 5.16719 | − | 3.32075i | 0.167206 | − | 0.107457i | ||||
\(956\) | 4.53036 | + | 5.22831i | 0.146522 | + | 0.169096i | ||||
\(957\) | −69.8371 | + | 20.5060i | −2.25751 | + | 0.662866i | ||||
\(958\) | 1.15674 | − | 8.04527i | 0.0373724 | − | 0.259931i | ||||
\(959\) | 7.33545 | − | 8.46556i | 0.236874 | − | 0.273367i | ||||
\(960\) | 0.639452 | − | 1.40020i | 0.0206382 | − | 0.0451914i | ||||
\(961\) | −52.2462 | − | 15.3409i | −1.68536 | − | 0.494867i | ||||
\(962\) | 0.521803 | + | 1.14259i | 0.0168236 | + | 0.0368386i | ||||
\(963\) | 0.0970758 | + | 0.675177i | 0.00312822 | + | 0.0217573i | ||||
\(964\) | −13.8682 | − | 8.91258i | −0.446666 | − | 0.287055i | ||||
\(965\) | −6.53510 | −0.210372 | ||||||||
\(966\) | 17.3806 | − | 21.2401i | 0.559210 | − | 0.683389i | ||||
\(967\) | 12.3031 | 0.395642 | 0.197821 | − | 0.980238i | \(-0.436614\pi\) | ||||
0.197821 | + | 0.980238i | \(0.436614\pi\) | |||||||
\(968\) | 16.4685 | + | 10.5837i | 0.529318 | + | 0.340172i | ||||
\(969\) | 4.61934 | + | 32.1282i | 0.148395 | + | 1.03211i | ||||
\(970\) | −1.06233 | − | 2.32617i | −0.0341093 | − | 0.0746889i | ||||
\(971\) | 17.3680 | + | 5.09970i | 0.557366 | + | 0.163657i | 0.548270 | − | 0.836301i | \(-0.315287\pi\) |
0.00909553 | + | 0.999959i | \(0.497105\pi\) | |||||||
\(972\) | −2.67338 | + | 5.85388i | −0.0857486 | + | 0.187763i | ||||
\(973\) | −14.4511 | + | 16.6775i | −0.463282 | + | 0.534656i | ||||
\(974\) | 1.05325 | − | 7.32550i | 0.0337483 | − | 0.234724i | ||||
\(975\) | 3.78496 | − | 1.11136i | 0.121216 | − | 0.0355921i | ||||
\(976\) | −6.19967 | − | 7.15480i | −0.198447 | − | 0.229020i | ||||
\(977\) | 34.3603 | − | 22.0820i | 1.09928 | − | 0.706466i | 0.140350 | − | 0.990102i | \(-0.455177\pi\) |
0.958932 | + | 0.283636i | \(0.0915409\pi\) | |||||||
\(978\) | −21.2440 | + | 13.6527i | −0.679307 | + | 0.436564i | ||||
\(979\) | 12.9807 | + | 14.9805i | 0.414864 | + | 0.478778i | ||||
\(980\) | 6.54489 | − | 1.92175i | 0.209069 | − | 0.0613881i | ||||
\(981\) | 0.209741 | − | 1.45878i | 0.00669650 | − | 0.0465752i | ||||
\(982\) | 17.0158 | − | 19.6373i | 0.542997 | − | 0.626652i | ||||
\(983\) | 3.32105 | − | 7.27208i | 0.105925 | − | 0.231943i | −0.849246 | − | 0.527997i | \(-0.822943\pi\) |
0.955171 | + | 0.296053i | \(0.0956706\pi\) | |||||||
\(984\) | −16.8287 | − | 4.94135i | −0.536479 | − | 0.157524i | ||||
\(985\) | −1.85089 | − | 4.05288i | −0.0589742 | − | 0.129135i | ||||
\(986\) | 7.01707 | + | 48.8048i | 0.223469 | + | 1.55426i | ||||
\(987\) | −46.8684 | − | 30.1205i | −1.49184 | − | 0.958745i | ||||
\(988\) | −9.37172 | −0.298154 | ||||||||
\(989\) | 35.8024 | − | 24.4624i | 1.13845 | − | 0.777857i | ||||
\(990\) | −3.48655 | −0.110810 | ||||||||
\(991\) | 5.79182 | + | 3.72218i | 0.183983 | + | 0.118239i | 0.629390 | − | 0.777089i | \(-0.283305\pi\) |
−0.445407 | + | 0.895328i | \(0.646941\pi\) | |||||||
\(992\) | 1.31556 | + | 9.14993i | 0.0417691 | + | 0.290511i | ||||
\(993\) | 7.02855 | + | 15.3904i | 0.223044 | + | 0.488399i | ||||
\(994\) | 10.2293 | + | 3.00358i | 0.324453 | + | 0.0952679i | ||||
\(995\) | 6.27822 | − | 13.7474i | 0.199033 | − | 0.435821i | ||||
\(996\) | 9.94412 | − | 11.4761i | 0.315092 | − | 0.363635i | ||||
\(997\) | 3.80406 | − | 26.4578i | 0.120476 | − | 0.837928i | −0.836543 | − | 0.547902i | \(-0.815427\pi\) |
0.957019 | − | 0.290026i | \(-0.0936641\pi\) | |||||||
\(998\) | 33.1286 | − | 9.72743i | 1.04867 | − | 0.307916i | ||||
\(999\) | −1.79381 | − | 2.07016i | −0.0567535 | − | 0.0654970i |
(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 | 230.2.g.d.71.3 | ✓ | 30 | |
23.9 | even | 11 | 5290.2.a.bk.1.4 | 15 | |||
23.12 | even | 11 | inner | 230.2.g.d.81.3 | yes | 30 | |
23.14 | odd | 22 | 5290.2.a.bl.1.4 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.g.d.71.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
230.2.g.d.81.3 | yes | 30 | 23.12 | even | 11 | inner | |
5290.2.a.bk.1.4 | 15 | 23.9 | even | 11 | |||
5290.2.a.bl.1.4 | 15 | 23.14 | odd | 22 |