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 | 53.1 | ||
Character | \(\chi\) | \(=\) | 150.53 |
Dual form | 150.2.l.a.17.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.891007 | + | 0.453990i | −0.630037 | + | 0.321020i | ||||
\(3\) | −1.64867 | + | 0.530925i | −0.951861 | + | 0.306530i | ||||
\(4\) | 0.587785 | − | 0.809017i | 0.293893 | − | 0.404508i | ||||
\(5\) | 1.35266 | − | 1.78054i | 0.604927 | − | 0.796281i | ||||
\(6\) | 1.22794 | − | 1.22154i | 0.501305 | − | 0.498691i | ||||
\(7\) | −0.152718 | + | 0.152718i | −0.0577219 | + | 0.0577219i | −0.735379 | − | 0.677657i | \(-0.762996\pi\) |
0.677657 | + | 0.735379i | \(0.262996\pi\) | |||||||
\(8\) | −0.156434 | + | 0.987688i | −0.0553079 | + | 0.349201i | ||||
\(9\) | 2.43624 | − | 1.75064i | 0.812079 | − | 0.583547i | ||||
\(10\) | −0.396880 | + | 2.20056i | −0.125505 | + | 0.695880i | ||||
\(11\) | 4.88609 | + | 1.58759i | 1.47321 | + | 0.478676i | 0.932077 | − | 0.362259i | \(-0.117995\pi\) |
0.541136 | + | 0.840935i | \(0.317995\pi\) | |||||||
\(12\) | −0.539538 | + | 1.64587i | −0.155751 | + | 0.475123i | ||||
\(13\) | 0.674795 | − | 1.32436i | 0.187155 | − | 0.367312i | −0.778296 | − | 0.627897i | \(-0.783916\pi\) |
0.965451 | + | 0.260586i | \(0.0839157\pi\) | |||||||
\(14\) | 0.0667401 | − | 0.205405i | 0.0178371 | − | 0.0548968i | ||||
\(15\) | −1.28476 | + | 3.65368i | −0.331723 | + | 0.943377i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 4.81543 | + | 0.762690i | 1.16791 | + | 0.184979i | 0.710121 | − | 0.704080i | \(-0.248640\pi\) |
0.457793 | + | 0.889059i | \(0.348640\pi\) | |||||||
\(18\) | −1.37593 | + | 2.66586i | −0.324309 | + | 0.628350i | ||||
\(19\) | 0.283032 | + | 0.389560i | 0.0649319 | + | 0.0893711i | 0.840248 | − | 0.542202i | \(-0.182409\pi\) |
−0.775316 | + | 0.631574i | \(0.782409\pi\) | |||||||
\(20\) | −0.645413 | − | 2.14090i | −0.144319 | − | 0.478719i | ||||
\(21\) | 0.170700 | − | 0.332863i | 0.0372498 | − | 0.0726367i | ||||
\(22\) | −5.07429 | + | 0.803689i | −1.08184 | + | 0.171347i | ||||
\(23\) | −1.21389 | − | 2.38239i | −0.253114 | − | 0.496763i | 0.729130 | − | 0.684376i | \(-0.239925\pi\) |
−0.982243 | + | 0.187612i | \(0.939925\pi\) | |||||||
\(24\) | −0.266479 | − | 1.71143i | −0.0543949 | − | 0.349344i | ||||
\(25\) | −1.34063 | − | 4.81692i | −0.268126 | − | 0.963384i | ||||
\(26\) | 1.48636i | 0.291500i | ||||||||
\(27\) | −3.08710 | + | 4.17969i | −0.594112 | + | 0.804382i | ||||
\(28\) | 0.0337860 | + | 0.213317i | 0.00638496 | + | 0.0403130i | ||||
\(29\) | −7.59423 | − | 5.51753i | −1.41021 | − | 1.02458i | −0.993292 | − | 0.115637i | \(-0.963109\pi\) |
−0.416921 | − | 0.908943i | \(-0.636891\pi\) | |||||||
\(30\) | −0.514010 | − | 3.83872i | −0.0938449 | − | 0.700852i | ||||
\(31\) | −1.84019 | + | 1.33698i | −0.330508 | + | 0.240128i | −0.740646 | − | 0.671895i | \(-0.765480\pi\) |
0.410138 | + | 0.912023i | \(0.365480\pi\) | |||||||
\(32\) | 0.707107 | + | 0.707107i | 0.125000 | + | 0.125000i | ||||
\(33\) | −8.89846 | − | 0.0232622i | −1.54902 | − | 0.00404943i | ||||
\(34\) | −4.63684 | + | 1.50660i | −0.795211 | + | 0.258380i | ||||
\(35\) | 0.0653448 | + | 0.478495i | 0.0110453 | + | 0.0808804i | ||||
\(36\) | 0.0156850 | − | 2.99996i | 0.00261417 | − | 0.499993i | ||||
\(37\) | 3.83574 | + | 1.95441i | 0.630592 | + | 0.321303i | 0.739912 | − | 0.672704i | \(-0.234867\pi\) |
−0.109320 | + | 0.994007i | \(0.534867\pi\) | |||||||
\(38\) | −0.429039 | − | 0.218606i | −0.0695994 | − | 0.0354627i | ||||
\(39\) | −0.409380 | + | 2.54170i | −0.0655533 | + | 0.406998i | ||||
\(40\) | 1.54701 | + | 1.61454i | 0.244604 | + | 0.255282i | ||||
\(41\) | 5.95547 | − | 1.93505i | 0.930087 | − | 0.302204i | 0.195489 | − | 0.980706i | \(-0.437371\pi\) |
0.734598 | + | 0.678502i | \(0.237371\pi\) | |||||||
\(42\) | −0.000977913 | 0.374079i | −0.000150895 | 0.0577217i | ||||||
\(43\) | −2.72225 | − | 2.72225i | −0.415139 | − | 0.415139i | 0.468385 | − | 0.883524i | \(-0.344836\pi\) |
−0.883524 | + | 0.468385i | \(0.844836\pi\) | |||||||
\(44\) | 4.15636 | − | 3.01977i | 0.626595 | − | 0.455248i | ||||
\(45\) | 0.178312 | − | 6.70583i | 0.0265812 | − | 0.999647i | ||||
\(46\) | 2.16317 | + | 1.57163i | 0.318942 | + | 0.231725i | ||||
\(47\) | 1.58814 | + | 10.0271i | 0.231654 | + | 1.46260i | 0.779699 | + | 0.626154i | \(0.215372\pi\) |
−0.548046 | + | 0.836448i | \(0.684628\pi\) | |||||||
\(48\) | 1.01441 | + | 1.40392i | 0.146417 | + | 0.202638i | ||||
\(49\) | 6.95335i | 0.993336i | ||||||||
\(50\) | 3.38135 | + | 3.68327i | 0.478194 | + | 0.520894i | ||||
\(51\) | −8.34400 | + | 1.29921i | −1.16839 | + | 0.181926i | ||||
\(52\) | −0.674795 | − | 1.32436i | −0.0935773 | − | 0.183656i | ||||
\(53\) | −7.59700 | + | 1.20325i | −1.04353 | + | 0.165279i | −0.654589 | − | 0.755985i | \(-0.727158\pi\) |
−0.388939 | + | 0.921264i | \(0.627158\pi\) | |||||||
\(54\) | 0.853081 | − | 5.12565i | 0.116090 | − | 0.697512i | ||||
\(55\) | 9.43598 | − | 6.55241i | 1.27235 | − | 0.883527i | ||||
\(56\) | −0.126947 | − | 0.174728i | −0.0169640 | − | 0.0233490i | ||||
\(57\) | −0.673453 | − | 0.491987i | −0.0892011 | − | 0.0651653i | ||||
\(58\) | 9.27141 | + | 1.46845i | 1.21740 | + | 0.192817i | ||||
\(59\) | −1.54130 | − | 4.74363i | −0.200660 | − | 0.617569i | −0.999864 | − | 0.0165081i | \(-0.994745\pi\) |
0.799204 | − | 0.601061i | \(-0.205255\pi\) | |||||||
\(60\) | 2.20073 | + | 3.18697i | 0.284113 | + | 0.411436i | ||||
\(61\) | −4.21680 | + | 12.9780i | −0.539906 | + | 1.66166i | 0.192898 | + | 0.981219i | \(0.438211\pi\) |
−0.732803 | + | 0.680440i | \(0.761789\pi\) | |||||||
\(62\) | 1.03265 | − | 2.02668i | 0.131146 | − | 0.257389i | ||||
\(63\) | −0.104703 | + | 0.639411i | −0.0131913 | + | 0.0805582i | ||||
\(64\) | −0.951057 | − | 0.309017i | −0.118882 | − | 0.0386271i | ||||
\(65\) | −1.44531 | − | 2.99291i | −0.179268 | − | 0.371224i | ||||
\(66\) | 7.93914 | − | 4.01909i | 0.977241 | − | 0.494716i | ||||
\(67\) | 2.35050 | − | 14.8405i | 0.287159 | − | 1.81305i | −0.248514 | − | 0.968628i | \(-0.579942\pi\) |
0.535673 | − | 0.844425i | \(-0.320058\pi\) | |||||||
\(68\) | 3.44747 | − | 3.44747i | 0.418067 | − | 0.418067i | ||||
\(69\) | 3.26618 | + | 3.28330i | 0.393202 | + | 0.395263i | ||||
\(70\) | −0.275455 | − | 0.396676i | −0.0329231 | − | 0.0474119i | ||||
\(71\) | −7.13100 | + | 9.81498i | −0.846294 | + | 1.16482i | 0.138373 | + | 0.990380i | \(0.455813\pi\) |
−0.984667 | + | 0.174444i | \(0.944187\pi\) | |||||||
\(72\) | 1.34798 | + | 2.68010i | 0.158861 | + | 0.315853i | ||||
\(73\) | 8.36209 | − | 4.26070i | 0.978708 | − | 0.498677i | 0.109963 | − | 0.993936i | \(-0.464927\pi\) |
0.868745 | + | 0.495259i | \(0.164927\pi\) | |||||||
\(74\) | −4.30495 | −0.500441 | ||||||||
\(75\) | 4.76768 | + | 7.22975i | 0.550524 | + | 0.834819i | ||||
\(76\) | 0.481522 | 0.0552344 | ||||||||
\(77\) | −0.988647 | + | 0.503741i | −0.112667 | + | 0.0574066i | ||||
\(78\) | −0.789148 | − | 2.45053i | −0.0893534 | − | 0.277468i | ||||
\(79\) | −1.28502 | + | 1.76867i | −0.144576 | + | 0.198991i | −0.875163 | − | 0.483828i | \(-0.839246\pi\) |
0.730588 | + | 0.682819i | \(0.239246\pi\) | |||||||
\(80\) | −2.11139 | − | 0.736238i | −0.236060 | − | 0.0823139i | ||||
\(81\) | 2.87050 | − | 8.52996i | 0.318945 | − | 0.947773i | ||||
\(82\) | −4.42787 | + | 4.42787i | −0.488976 | + | 0.488976i | ||||
\(83\) | −0.782253 | + | 4.93895i | −0.0858634 | + | 0.542120i | 0.906834 | + | 0.421488i | \(0.138492\pi\) |
−0.992697 | + | 0.120632i | \(0.961508\pi\) | |||||||
\(84\) | −0.168957 | − | 0.333751i | −0.0184347 | − | 0.0364152i | ||||
\(85\) | 7.87163 | − | 7.54240i | 0.853798 | − | 0.818088i | ||||
\(86\) | 3.66142 | + | 1.18967i | 0.394821 | + | 0.128285i | ||||
\(87\) | 15.4498 | + | 5.06463i | 1.65639 | + | 0.542985i | ||||
\(88\) | −2.33240 | + | 4.57759i | −0.248634 | + | 0.487972i | ||||
\(89\) | −3.38311 | + | 10.4121i | −0.358609 | + | 1.10368i | 0.595279 | + | 0.803519i | \(0.297042\pi\) |
−0.953887 | + | 0.300165i | \(0.902958\pi\) | |||||||
\(90\) | 2.88551 | + | 6.05589i | 0.304159 | + | 0.638347i | ||||
\(91\) | 0.0992002 | + | 0.305307i | 0.0103990 | + | 0.0320048i | ||||
\(92\) | −2.64090 | − | 0.418278i | −0.275333 | − | 0.0436085i | ||||
\(93\) | 2.32404 | − | 3.18124i | 0.240991 | − | 0.329879i | ||||
\(94\) | −5.96725 | − | 8.21321i | −0.615475 | − | 0.847128i | ||||
\(95\) | 1.07647 | + | 0.0229926i | 0.110444 | + | 0.00235899i | ||||
\(96\) | −1.54121 | − | 0.790366i | −0.157299 | − | 0.0806664i | ||||
\(97\) | −9.96799 | + | 1.57877i | −1.01210 | + | 0.160300i | −0.640390 | − | 0.768050i | \(-0.721227\pi\) |
−0.371706 | + | 0.928350i | \(0.621227\pi\) | |||||||
\(98\) | −3.15676 | − | 6.19548i | −0.318881 | − | 0.625838i | ||||
\(99\) | 14.6830 | − | 4.68606i | 1.47570 | − | 0.470967i | ||||
\(100\) | −4.68497 | − | 1.74672i | −0.468497 | − | 0.174672i | ||||
\(101\) | − | 9.53700i | − | 0.948967i | −0.880264 | − | 0.474483i | \(-0.842635\pi\) | ||
0.880264 | − | 0.474483i | \(-0.157365\pi\) | |||||||
\(102\) | 6.84473 | − | 4.94570i | 0.677729 | − | 0.489697i | ||||
\(103\) | 1.58215 | + | 9.98929i | 0.155894 | + | 0.984274i | 0.934293 | + | 0.356505i | \(0.116032\pi\) |
−0.778400 | + | 0.627769i | \(0.783968\pi\) | |||||||
\(104\) | 1.20249 | + | 0.873663i | 0.117914 | + | 0.0856697i | ||||
\(105\) | −0.361777 | − | 0.754188i | −0.0353058 | − | 0.0736012i | ||||
\(106\) | 6.22271 | − | 4.52106i | 0.604403 | − | 0.439125i | ||||
\(107\) | −7.80873 | − | 7.80873i | −0.754898 | − | 0.754898i | 0.220491 | − | 0.975389i | \(-0.429234\pi\) |
−0.975389 | + | 0.220491i | \(0.929234\pi\) | |||||||
\(108\) | 1.56689 | + | 4.95428i | 0.150774 | + | 0.476725i | ||||
\(109\) | −5.83194 | + | 1.89491i | −0.558598 | + | 0.181500i | −0.574690 | − | 0.818371i | \(-0.694877\pi\) |
0.0160921 | + | 0.999871i | \(0.494877\pi\) | |||||||
\(110\) | −5.43279 | + | 10.1221i | −0.517996 | + | 0.965103i | ||||
\(111\) | −7.36152 | − | 1.18569i | −0.698725 | − | 0.112540i | ||||
\(112\) | 0.192436 | + | 0.0980509i | 0.0181835 | + | 0.00926494i | ||||
\(113\) | 9.78864 | + | 4.98756i | 0.920838 | + | 0.469190i | 0.849099 | − | 0.528233i | \(-0.177145\pi\) |
0.0717385 | + | 0.997423i | \(0.477145\pi\) | |||||||
\(114\) | 0.823409 | + | 0.132623i | 0.0771193 | + | 0.0124212i | ||||
\(115\) | −5.88392 | − | 1.06119i | −0.548678 | − | 0.0989563i | ||||
\(116\) | −8.92755 | + | 2.90074i | −0.828902 | + | 0.269327i | ||||
\(117\) | −0.674520 | − | 4.40778i | −0.0623594 | − | 0.407500i | ||||
\(118\) | 3.52687 | + | 3.52687i | 0.324675 | + | 0.324675i | ||||
\(119\) | −0.851879 | + | 0.618926i | −0.0780916 | + | 0.0567369i | ||||
\(120\) | −3.40772 | − | 1.84050i | −0.311081 | − | 0.168014i | ||||
\(121\) | 12.4543 | + | 9.04858i | 1.13221 | + | 0.822598i | ||||
\(122\) | −2.13468 | − | 13.4778i | −0.193265 | − | 1.22023i | ||||
\(123\) | −8.79124 | + | 6.35216i | −0.792680 | + | 0.572755i | ||||
\(124\) | 2.27460i | 0.204265i | ||||||||
\(125\) | −10.3901 | − | 4.12861i | −0.929321 | − | 0.369274i | ||||
\(126\) | −0.196996 | − | 0.617253i | −0.0175498 | − | 0.0549893i | ||||
\(127\) | −6.82658 | − | 13.3979i | −0.605761 | − | 1.18887i | −0.966611 | − | 0.256249i | \(-0.917513\pi\) |
0.360850 | − | 0.932624i | \(-0.382487\pi\) | |||||||
\(128\) | 0.987688 | − | 0.156434i | 0.0873001 | − | 0.0138270i | ||||
\(129\) | 5.93341 | + | 3.04279i | 0.522407 | + | 0.267902i | ||||
\(130\) | 2.64653 | + | 2.01054i | 0.232116 | + | 0.176336i | ||||
\(131\) | −5.12870 | − | 7.05905i | −0.448097 | − | 0.616752i | 0.523891 | − | 0.851785i | \(-0.324480\pi\) |
−0.971987 | + | 0.235034i | \(0.924480\pi\) | |||||||
\(132\) | −5.24920 | + | 7.18533i | −0.456884 | + | 0.625403i | ||||
\(133\) | −0.102717 | − | 0.0162687i | −0.00890667 | − | 0.00141068i | ||||
\(134\) | 4.64313 | + | 14.2901i | 0.401105 | + | 1.23447i | ||||
\(135\) | 3.26632 | + | 11.1504i | 0.281120 | + | 0.959673i | ||||
\(136\) | −1.50660 | + | 4.63684i | −0.129190 | + | 0.397605i | ||||
\(137\) | 1.28180 | − | 2.51567i | 0.109511 | − | 0.214928i | −0.829747 | − | 0.558140i | \(-0.811515\pi\) |
0.939258 | + | 0.343212i | \(0.111515\pi\) | |||||||
\(138\) | −4.40077 | − | 1.44263i | −0.374619 | − | 0.122805i | ||||
\(139\) | −6.62014 | − | 2.15102i | −0.561513 | − | 0.182447i | 0.0144887 | − | 0.999895i | \(-0.495388\pi\) |
−0.576002 | + | 0.817448i | \(0.695388\pi\) | |||||||
\(140\) | 0.425519 | + | 0.228387i | 0.0359629 | + | 0.0193022i | ||||
\(141\) | −7.94195 | − | 15.6882i | −0.668833 | − | 1.32119i | ||||
\(142\) | 1.89786 | − | 11.9826i | 0.159265 | − | 1.00556i | ||||
\(143\) | 5.39965 | − | 5.39965i | 0.451542 | − | 0.451542i | ||||
\(144\) | −2.41780 | − | 1.77602i | −0.201483 | − | 0.148002i | ||||
\(145\) | −20.0966 | + | 6.05848i | −1.66893 | + | 0.503129i | ||||
\(146\) | −5.51636 | + | 7.59261i | −0.456537 | + | 0.628369i | ||||
\(147\) | −3.69171 | − | 11.4638i | −0.304487 | − | 0.945518i | ||||
\(148\) | 3.83574 | − | 1.95441i | 0.315296 | − | 0.160651i | ||||
\(149\) | 7.72360 | 0.632742 | 0.316371 | − | 0.948635i | \(-0.397535\pi\) | ||||
0.316371 | + | 0.948635i | \(0.397535\pi\) | |||||||
\(150\) | −7.53027 | − | 4.27727i | −0.614844 | − | 0.349237i | ||||
\(151\) | −14.7868 | −1.20333 | −0.601667 | − | 0.798747i | \(-0.705497\pi\) | ||||
−0.601667 | + | 0.798747i | \(0.705497\pi\) | |||||||
\(152\) | −0.429039 | + | 0.218606i | −0.0347997 | + | 0.0177313i | ||||
\(153\) | 13.0667 | − | 6.57201i | 1.05638 | − | 0.531315i | ||||
\(154\) | 0.652197 | − | 0.897673i | 0.0525556 | − | 0.0723365i | ||||
\(155\) | −0.108612 | + | 5.08500i | −0.00872392 | + | 0.408437i | ||||
\(156\) | 1.81565 | + | 1.82517i | 0.145369 | + | 0.146131i | ||||
\(157\) | −11.5941 | + | 11.5941i | −0.925312 | + | 0.925312i | −0.997398 | − | 0.0720863i | \(-0.977034\pi\) |
0.0720863 | + | 0.997398i | \(0.477034\pi\) | |||||||
\(158\) | 0.341997 | − | 2.15928i | 0.0272078 | − | 0.171783i | ||||
\(159\) | 11.8861 | − | 6.01719i | 0.942630 | − | 0.477194i | ||||
\(160\) | 2.21550 | − | 0.302556i | 0.175151 | − | 0.0239192i | ||||
\(161\) | 0.549217 | + | 0.178451i | 0.0432843 | + | 0.0140639i | ||||
\(162\) | 1.31488 | + | 8.90343i | 0.103307 | + | 0.699520i | ||||
\(163\) | −1.84215 | + | 3.61543i | −0.144289 | + | 0.283182i | −0.951829 | − | 0.306630i | \(-0.900798\pi\) |
0.807540 | + | 0.589813i | \(0.200798\pi\) | |||||||
\(164\) | 1.93505 | − | 5.95547i | 0.151102 | − | 0.465044i | ||||
\(165\) | −12.0780 | + | 15.8126i | −0.940270 | + | 1.23101i | ||||
\(166\) | −1.54524 | − | 4.75577i | −0.119934 | − | 0.369119i | ||||
\(167\) | 13.6706 | + | 2.16520i | 1.05786 | + | 0.167549i | 0.661042 | − | 0.750349i | \(-0.270114\pi\) |
0.396818 | + | 0.917897i | \(0.370114\pi\) | |||||||
\(168\) | 0.302062 | + | 0.220670i | 0.0233046 | + | 0.0170250i | ||||
\(169\) | 6.34263 | + | 8.72988i | 0.487894 | + | 0.671529i | ||||
\(170\) | −3.58950 | + | 10.2940i | −0.275302 | + | 0.789512i | ||||
\(171\) | 1.37151 | + | 0.453573i | 0.104882 | + | 0.0346856i | ||||
\(172\) | −3.80244 | + | 0.602248i | −0.289934 | + | 0.0459210i | ||||
\(173\) | −0.412278 | − | 0.809140i | −0.0313449 | − | 0.0615178i | 0.874803 | − | 0.484479i | \(-0.160991\pi\) |
−0.906148 | + | 0.422961i | \(0.860991\pi\) | |||||||
\(174\) | −16.0652 | + | 2.50144i | −1.21790 | + | 0.189633i | ||||
\(175\) | 0.940368 | + | 0.530891i | 0.0710851 | + | 0.0401316i | ||||
\(176\) | − | 5.13754i | − | 0.387257i | ||||||
\(177\) | 5.05961 | + | 7.00238i | 0.380304 | + | 0.526331i | ||||
\(178\) | −1.71264 | − | 10.8132i | −0.128368 | − | 0.810482i | ||||
\(179\) | 9.58645 | + | 6.96496i | 0.716525 | + | 0.520586i | 0.885272 | − | 0.465074i | \(-0.153972\pi\) |
−0.168747 | + | 0.985659i | \(0.553972\pi\) | |||||||
\(180\) | −5.32032 | − | 4.08585i | −0.396554 | − | 0.304541i | ||||
\(181\) | 13.9076 | − | 10.1044i | 1.03374 | − | 0.751057i | 0.0646876 | − | 0.997906i | \(-0.479395\pi\) |
0.969054 | + | 0.246848i | \(0.0793949\pi\) | |||||||
\(182\) | −0.226994 | − | 0.226994i | −0.0168259 | − | 0.0168259i | ||||
\(183\) | 0.0617869 | − | 23.6352i | 0.00456742 | − | 1.74717i | ||||
\(184\) | 2.54296 | − | 0.826257i | 0.187469 | − | 0.0609125i | ||||
\(185\) | 8.66835 | − | 4.18604i | 0.637310 | − | 0.307764i | ||||
\(186\) | −0.626479 | + | 3.88960i | −0.0459357 | + | 0.285199i | ||||
\(187\) | 22.3178 | + | 11.3715i | 1.63204 | + | 0.831566i | ||||
\(188\) | 9.04558 | + | 4.60895i | 0.659716 | + | 0.336142i | ||||
\(189\) | −0.166859 | − | 1.10977i | −0.0121372 | − | 0.0807238i | ||||
\(190\) | −0.969581 | + | 0.468221i | −0.0703408 | + | 0.0339683i | ||||
\(191\) | −4.70151 | + | 1.52761i | −0.340189 | + | 0.110534i | −0.474129 | − | 0.880455i | \(-0.657237\pi\) |
0.133940 | + | 0.990989i | \(0.457237\pi\) | |||||||
\(192\) | 1.73204 | + | 0.00452789i | 0.125000 | + | 0.000326772i | ||||
\(193\) | 2.38356 | + | 2.38356i | 0.171572 | + | 0.171572i | 0.787670 | − | 0.616098i | \(-0.211287\pi\) |
−0.616098 | + | 0.787670i | \(0.711287\pi\) | |||||||
\(194\) | 8.16479 | − | 5.93207i | 0.586198 | − | 0.425898i | ||||
\(195\) | 3.97184 | + | 4.16697i | 0.284430 | + | 0.298403i | ||||
\(196\) | 5.62538 | + | 4.08708i | 0.401813 | + | 0.291934i | ||||
\(197\) | −1.14693 | − | 7.24145i | −0.0817156 | − | 0.515932i | −0.994263 | − | 0.106961i | \(-0.965888\pi\) |
0.912548 | − | 0.408970i | \(-0.134112\pi\) | |||||||
\(198\) | −10.9552 | + | 10.8412i | −0.778553 | + | 0.770454i | ||||
\(199\) | − | 8.34182i | − | 0.591336i | −0.955291 | − | 0.295668i | \(-0.904458\pi\) | ||
0.955291 | − | 0.295668i | \(-0.0955422\pi\) | |||||||
\(200\) | 4.96734 | − | 0.570592i | 0.351244 | − | 0.0403470i | ||||
\(201\) | 4.00398 | + | 25.7150i | 0.282419 | + | 1.81380i | ||||
\(202\) | 4.32971 | + | 8.49753i | 0.304637 | + | 0.597884i | ||||
\(203\) | 2.00240 | − | 0.317149i | 0.140541 | − | 0.0222595i | ||||
\(204\) | −3.85340 | + | 7.51409i | −0.269792 | + | 0.526092i | ||||
\(205\) | 4.61029 | − | 13.2214i | 0.321996 | − | 0.923422i | ||||
\(206\) | −5.94475 | − | 8.18224i | −0.414190 | − | 0.570084i | ||||
\(207\) | −7.12804 | − | 3.67899i | −0.495433 | − | 0.255707i | ||||
\(208\) | −1.46807 | − | 0.232519i | −0.101792 | − | 0.0161223i | ||||
\(209\) | 0.764459 | + | 2.35276i | 0.0528787 | + | 0.162744i | ||||
\(210\) | 0.664740 | + | 0.507743i | 0.0458714 | + | 0.0350376i | ||||
\(211\) | 1.32487 | − | 4.07753i | 0.0912078 | − | 0.280709i | −0.895039 | − | 0.445988i | \(-0.852852\pi\) |
0.986247 | + | 0.165279i | \(0.0528525\pi\) | |||||||
\(212\) | −3.49196 | + | 6.85335i | −0.239828 | + | 0.470690i | ||||
\(213\) | 6.54566 | − | 19.9677i | 0.448501 | − | 1.36817i | ||||
\(214\) | 10.5027 | + | 3.41254i | 0.717951 | + | 0.233276i | ||||
\(215\) | −8.52934 | + | 1.16479i | −0.581696 | + | 0.0794383i | ||||
\(216\) | −3.64531 | − | 3.70294i | −0.248032 | − | 0.251953i | ||||
\(217\) | 0.0768498 | − | 0.485210i | 0.00521690 | − | 0.0329382i | ||||
\(218\) | 4.33602 | − | 4.33602i | 0.293672 | − | 0.293672i | ||||
\(219\) | −11.5242 | + | 11.4641i | −0.778735 | + | 0.774674i | ||||
\(220\) | 0.245317 | − | 11.4853i | 0.0165393 | − | 0.774337i | ||||
\(221\) | 4.25951 | − | 5.86271i | 0.286525 | − | 0.394369i | ||||
\(222\) | 7.09746 | − | 2.28561i | 0.476350 | − | 0.153400i | ||||
\(223\) | 0.651256 | − | 0.331831i | 0.0436113 | − | 0.0222211i | −0.432049 | − | 0.901850i | \(-0.642209\pi\) |
0.475660 | + | 0.879629i | \(0.342209\pi\) | |||||||
\(224\) | −0.215976 | −0.0144305 | ||||||||
\(225\) | −11.6988 | − | 9.38820i | −0.779920 | − | 0.625880i | ||||
\(226\) | −10.9860 | −0.730781 | ||||||||
\(227\) | −2.94981 | + | 1.50300i | −0.195786 | + | 0.0997579i | −0.549135 | − | 0.835734i | \(-0.685043\pi\) |
0.353349 | + | 0.935492i | \(0.385043\pi\) | |||||||
\(228\) | −0.793872 | + | 0.255652i | −0.0525755 | + | 0.0169310i | ||||
\(229\) | −6.20224 | + | 8.53665i | −0.409855 | + | 0.564117i | −0.963183 | − | 0.268846i | \(-0.913358\pi\) |
0.553328 | + | 0.832964i | \(0.313358\pi\) | |||||||
\(230\) | 5.72438 | − | 1.72572i | 0.377455 | − | 0.113791i | ||||
\(231\) | 1.36251 | − | 1.35540i | 0.0896463 | − | 0.0891788i | ||||
\(232\) | 6.63760 | − | 6.63760i | 0.435780 | − | 0.435780i | ||||
\(233\) | −1.96935 | + | 12.4340i | −0.129016 | + | 0.814577i | 0.835294 | + | 0.549803i | \(0.185297\pi\) |
−0.964311 | + | 0.264774i | \(0.914703\pi\) | |||||||
\(234\) | 2.60209 | + | 3.62114i | 0.170104 | + | 0.236721i | ||||
\(235\) | 20.0018 | + | 10.7355i | 1.30478 | + | 0.700307i | ||||
\(236\) | −4.74363 | − | 1.54130i | −0.308784 | − | 0.100330i | ||||
\(237\) | 1.17954 | − | 3.59821i | 0.0766192 | − | 0.233729i | ||||
\(238\) | 0.478043 | − | 0.938212i | 0.0309869 | − | 0.0608152i | ||||
\(239\) | 3.62951 | − | 11.1705i | 0.234773 | − | 0.722558i | −0.762378 | − | 0.647132i | \(-0.775968\pi\) |
0.997151 | − | 0.0754263i | \(-0.0240318\pi\) | |||||||
\(240\) | 3.87187 | + | 0.0928273i | 0.249928 | + | 0.00599198i | ||||
\(241\) | 0.375849 | + | 1.15675i | 0.0242106 | + | 0.0745125i | 0.962432 | − | 0.271524i | \(-0.0875275\pi\) |
−0.938221 | + | 0.346036i | \(0.887527\pi\) | |||||||
\(242\) | −15.2048 | − | 2.40821i | −0.977403 | − | 0.154805i | ||||
\(243\) | −0.203749 | + | 15.5871i | −0.0130705 | + | 0.999915i | ||||
\(244\) | 8.02083 | + | 11.0397i | 0.513481 | + | 0.706746i | ||||
\(245\) | 12.3807 | + | 9.40551i | 0.790975 | + | 0.600896i | ||||
\(246\) | 4.94923 | − | 9.65096i | 0.315552 | − | 0.615323i | ||||
\(247\) | 0.706906 | − | 0.111963i | 0.0449793 | − | 0.00712403i | ||||
\(248\) | −1.03265 | − | 2.02668i | −0.0655732 | − | 0.128695i | ||||
\(249\) | −1.33253 | − | 8.55802i | −0.0844459 | − | 0.542343i | ||||
\(250\) | 11.1320 | − | 1.03840i | 0.704050 | − | 0.0656743i | ||||
\(251\) | − | 22.6123i | − | 1.42728i | −0.700515 | − | 0.713638i | \(-0.747046\pi\) | ||
0.700515 | − | 0.713638i | \(-0.252954\pi\) | |||||||
\(252\) | 0.455752 | + | 0.460543i | 0.0287097 | + | 0.0290115i | ||||
\(253\) | −2.14892 | − | 13.5678i | −0.135102 | − | 0.852998i | ||||
\(254\) | 12.1651 | + | 8.83843i | 0.763304 | + | 0.554573i | ||||
\(255\) | −8.97329 | + | 16.6142i | −0.561929 | + | 1.04042i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 2.98436 | + | 2.98436i | 0.186159 | + | 0.186159i | 0.794033 | − | 0.607874i | \(-0.207978\pi\) |
−0.607874 | + | 0.794033i | \(0.707978\pi\) | |||||||
\(258\) | −6.66810 | − | 0.0174316i | −0.415138 | − | 0.00108525i | ||||
\(259\) | −0.884259 | + | 0.287313i | −0.0549452 | + | 0.0178528i | ||||
\(260\) | −3.27084 | − | 0.589909i | −0.202849 | − | 0.0365846i | ||||
\(261\) | −28.1606 | − | 0.147235i | −1.74309 | − | 0.00911361i | ||||
\(262\) | 7.77445 | + | 3.96128i | 0.480307 | + | 0.244729i | ||||
\(263\) | −2.29146 | − | 1.16756i | −0.141298 | − | 0.0719947i | 0.381912 | − | 0.924199i | \(-0.375266\pi\) |
−0.523210 | + | 0.852204i | \(0.675266\pi\) | |||||||
\(264\) | 1.41500 | − | 8.78526i | 0.0870873 | − | 0.540696i | ||||
\(265\) | −8.13372 | + | 15.1543i | −0.499650 | + | 0.930922i | ||||
\(266\) | 0.0989071 | − | 0.0321369i | 0.00606438 | − | 0.00197044i | ||||
\(267\) | 0.0495712 | − | 18.9624i | 0.00303371 | − | 1.16048i | ||||
\(268\) | −10.6246 | − | 10.6246i | −0.649002 | − | 0.649002i | ||||
\(269\) | −19.5493 | + | 14.2034i | −1.19194 | + | 0.865996i | −0.993468 | − | 0.114110i | \(-0.963598\pi\) |
−0.198473 | + | 0.980106i | \(0.563598\pi\) | |||||||
\(270\) | −7.97248 | − | 8.45219i | −0.485190 | − | 0.514384i | ||||
\(271\) | −9.36464 | − | 6.80381i | −0.568861 | − | 0.413302i | 0.265830 | − | 0.964020i | \(-0.414354\pi\) |
−0.834691 | + | 0.550718i | \(0.814354\pi\) | |||||||
\(272\) | −0.762690 | − | 4.81543i | −0.0462448 | − | 0.291978i | ||||
\(273\) | −0.325644 | − | 0.450683i | −0.0197088 | − | 0.0272766i | ||||
\(274\) | 2.82340i | 0.170568i | ||||||||
\(275\) | 1.09684 | − | 25.6643i | 0.0661420 | − | 1.54762i | ||||
\(276\) | 4.57606 | − | 0.712519i | 0.275446 | − | 0.0428886i | ||||
\(277\) | 3.42126 | + | 6.71461i | 0.205564 | + | 0.403442i | 0.970654 | − | 0.240482i | \(-0.0773055\pi\) |
−0.765090 | + | 0.643924i | \(0.777305\pi\) | |||||||
\(278\) | 6.87513 | − | 1.08891i | 0.412343 | − | 0.0653087i | ||||
\(279\) | −2.14257 | + | 6.47871i | −0.128273 | + | 0.387870i | ||||
\(280\) | −0.482826 | − | 0.0103128i | −0.0288544 | − | 0.000616308i | ||||
\(281\) | 13.8790 | + | 19.1028i | 0.827952 | + | 1.13958i | 0.988301 | + | 0.152517i | \(0.0487380\pi\) |
−0.160349 | + | 0.987060i | \(0.551262\pi\) | |||||||
\(282\) | 14.1986 | + | 10.3727i | 0.845516 | + | 0.617687i | ||||
\(283\) | 9.72347 | + | 1.54005i | 0.578000 | + | 0.0915463i | 0.438588 | − | 0.898688i | \(-0.355479\pi\) |
0.139412 | + | 0.990234i | \(0.455479\pi\) | |||||||
\(284\) | 3.74899 | + | 11.5382i | 0.222462 | + | 0.684667i | ||||
\(285\) | −1.78695 | + | 0.533618i | −0.105850 | + | 0.0316088i | ||||
\(286\) | −2.35974 | + | 7.26252i | −0.139534 | + | 0.429442i | ||||
\(287\) | −0.613989 | + | 1.20502i | −0.0362426 | + | 0.0711302i | ||||
\(288\) | 2.96057 | + | 0.484789i | 0.174453 | + | 0.0285665i | ||||
\(289\) | 6.43873 | + | 2.09207i | 0.378749 | + | 0.123063i | ||||
\(290\) | 15.1557 | − | 14.5218i | 0.889972 | − | 0.852749i | ||||
\(291\) | 15.5957 | − | 7.89513i | 0.914238 | − | 0.462821i | ||||
\(292\) | 1.46814 | − | 9.26944i | 0.0859161 | − | 0.542453i | ||||
\(293\) | −3.33944 | + | 3.33944i | −0.195092 | + | 0.195092i | −0.797892 | − | 0.602800i | \(-0.794052\pi\) |
0.602800 | + | 0.797892i | \(0.294052\pi\) | |||||||
\(294\) | 8.49379 | + | 8.53832i | 0.495368 | + | 0.497965i | ||||
\(295\) | −10.5311 | − | 3.67217i | −0.613143 | − | 0.213802i | ||||
\(296\) | −2.53039 | + | 3.48278i | −0.147076 | + | 0.202433i | ||||
\(297\) | −21.7195 | + | 15.5213i | −1.26029 | + | 0.900640i | ||||
\(298\) | −6.88178 | + | 3.50644i | −0.398651 | + | 0.203123i | ||||
\(299\) | −3.97428 | −0.229838 | ||||||||
\(300\) | 8.65136 | + | 0.392402i | 0.499486 | + | 0.0226554i | ||||
\(301\) | 0.831472 | 0.0479252 | ||||||||
\(302\) | 13.1751 | − | 6.71307i | 0.758145 | − | 0.386294i | ||||
\(303\) | 5.06343 | + | 15.7234i | 0.290887 | + | 0.903285i | ||||
\(304\) | 0.283032 | − | 0.389560i | 0.0162330 | − | 0.0223428i | ||||
\(305\) | 17.4039 | + | 25.0629i | 0.996543 | + | 1.43510i | ||||
\(306\) | −8.65891 | + | 11.7879i | −0.494997 | + | 0.673868i | ||||
\(307\) | −11.8133 | + | 11.8133i | −0.674221 | + | 0.674221i | −0.958686 | − | 0.284465i | \(-0.908184\pi\) |
0.284465 | + | 0.958686i | \(0.408184\pi\) | |||||||
\(308\) | −0.173577 | + | 1.09592i | −0.00989048 | + | 0.0624460i | ||||
\(309\) | −7.91201 | − | 15.6291i | −0.450098 | − | 0.889106i | ||||
\(310\) | −2.21177 | − | 4.58008i | −0.125620 | − | 0.260131i | ||||
\(311\) | 28.7239 | + | 9.33296i | 1.62878 | + | 0.529224i | 0.973991 | − | 0.226586i | \(-0.0727564\pi\) |
0.654791 | + | 0.755810i | \(0.272756\pi\) | |||||||
\(312\) | −2.44637 | − | 0.801950i | −0.138498 | − | 0.0454015i | ||||
\(313\) | −7.57278 | + | 14.8624i | −0.428039 | + | 0.840073i | 0.571768 | + | 0.820415i | \(0.306258\pi\) |
−0.999807 | + | 0.0196580i | \(0.993742\pi\) | |||||||
\(314\) | 5.06682 | − | 15.5941i | 0.285937 | − | 0.880024i | ||||
\(315\) | 0.996869 | + | 1.05133i | 0.0561672 | + | 0.0592358i | ||||
\(316\) | 0.675573 | + | 2.07920i | 0.0380040 | + | 0.116964i | ||||
\(317\) | −10.7129 | − | 1.69675i | −0.601695 | − | 0.0952991i | −0.151847 | − | 0.988404i | \(-0.548522\pi\) |
−0.449848 | + | 0.893105i | \(0.648522\pi\) | |||||||
\(318\) | −7.85886 | + | 10.7575i | −0.440703 | + | 0.603253i | ||||
\(319\) | −28.3466 | − | 39.0157i | −1.58710 | − | 2.18446i | ||||
\(320\) | −1.83667 | + | 1.27540i | −0.102673 | + | 0.0712969i | ||||
\(321\) | 17.0199 | + | 8.72818i | 0.949957 | + | 0.487160i | ||||
\(322\) | −0.570371 | + | 0.0903379i | −0.0317855 | + | 0.00503433i | ||||
\(323\) | 1.06581 | + | 2.09176i | 0.0593031 | + | 0.116389i | ||||
\(324\) | −5.21364 | − | 7.33607i | −0.289647 | − | 0.407559i | ||||
\(325\) | −7.28399 | − | 1.47496i | −0.404043 | − | 0.0818159i | ||||
\(326\) | − | 4.05769i | − | 0.224735i | ||||||
\(327\) | 8.60889 | − | 6.22041i | 0.476073 | − | 0.343989i | ||||
\(328\) | 0.979584 | + | 6.18485i | 0.0540885 | + | 0.341501i | ||||
\(329\) | −1.77385 | − | 1.28878i | −0.0977957 | − | 0.0710527i | ||||
\(330\) | 3.58281 | − | 19.5724i | 0.197227 | − | 1.07743i | ||||
\(331\) | −7.79472 | + | 5.66319i | −0.428436 | + | 0.311277i | −0.781023 | − | 0.624502i | \(-0.785302\pi\) |
0.352587 | + | 0.935779i | \(0.385302\pi\) | |||||||
\(332\) | 3.53590 | + | 3.53590i | 0.194058 | + | 0.194058i | ||||
\(333\) | 12.7662 | − | 1.95361i | 0.699586 | − | 0.107057i | ||||
\(334\) | −13.1635 | + | 4.27710i | −0.720277 | + | 0.234032i | ||||
\(335\) | −23.2446 | − | 24.2593i | −1.26999 | − | 1.32543i | ||||
\(336\) | −0.369321 | − | 0.0594848i | −0.0201481 | − | 0.00324516i | ||||
\(337\) | −25.0858 | − | 12.7818i | −1.36651 | − | 0.696272i | −0.391864 | − | 0.920023i | \(-0.628170\pi\) |
−0.974646 | + | 0.223752i | \(0.928170\pi\) | |||||||
\(338\) | −9.61460 | − | 4.89888i | −0.522965 | − | 0.266464i | ||||
\(339\) | −18.7863 | − | 3.02582i | −1.02033 | − | 0.164340i | ||||
\(340\) | −1.47510 | − | 10.8016i | −0.0799986 | − | 0.585799i | ||||
\(341\) | −11.1139 | + | 3.61113i | −0.601852 | + | 0.195554i | ||||
\(342\) | −1.42794 | + | 0.218517i | −0.0772143 | + | 0.0118161i | ||||
\(343\) | −2.13093 | − | 2.13093i | −0.115059 | − | 0.115059i | ||||
\(344\) | 3.11459 | − | 2.26288i | 0.167927 | − | 0.122006i | ||||
\(345\) | 10.2641 | − | 1.37437i | 0.552599 | − | 0.0739936i | ||||
\(346\) | 0.734684 | + | 0.533779i | 0.0394969 | + | 0.0286962i | ||||
\(347\) | 3.02097 | + | 19.0736i | 0.162174 | + | 1.02393i | 0.925730 | + | 0.378185i | \(0.123452\pi\) |
−0.763556 | + | 0.645742i | \(0.776548\pi\) | |||||||
\(348\) | 13.1785 | − | 9.52222i | 0.706443 | − | 0.510445i | ||||
\(349\) | 14.4119i | 0.771451i | 0.922614 | + | 0.385725i | \(0.126049\pi\) | ||||
−0.922614 | + | 0.385725i | \(0.873951\pi\) | |||||||
\(350\) | −1.07889 | − | 0.0461098i | −0.0576693 | − | 0.00246467i | ||||
\(351\) | 3.45226 | + | 6.90887i | 0.184268 | + | 0.368768i | ||||
\(352\) | 2.33240 | + | 4.57759i | 0.124317 | + | 0.243986i | ||||
\(353\) | −34.5802 | + | 5.47696i | −1.84052 | + | 0.291509i | −0.977068 | − | 0.212929i | \(-0.931700\pi\) |
−0.863448 | + | 0.504438i | \(0.831700\pi\) | |||||||
\(354\) | −7.68716 | − | 3.94215i | −0.408568 | − | 0.209523i | ||||
\(355\) | 7.83014 | + | 25.9733i | 0.415581 | + | 1.37852i | ||||
\(356\) | 6.43505 | + | 8.85709i | 0.341057 | + | 0.469425i | ||||
\(357\) | 1.07586 | − | 1.47269i | 0.0569408 | − | 0.0779430i | ||||
\(358\) | −11.7036 | − | 1.85367i | −0.618555 | − | 0.0979695i | ||||
\(359\) | −10.6846 | − | 32.8840i | −0.563914 | − | 1.73555i | −0.671156 | − | 0.741316i | \(-0.734202\pi\) |
0.107242 | − | 0.994233i | \(-0.465798\pi\) | |||||||
\(360\) | 6.59538 | + | 1.22514i | 0.347607 | + | 0.0645706i | ||||
\(361\) | 5.79967 | − | 17.8496i | 0.305246 | − | 0.939450i | ||||
\(362\) | −7.80442 | + | 15.3170i | −0.410191 | + | 0.805045i | ||||
\(363\) | −25.3372 | − | 8.30583i | −1.32986 | − | 0.435943i | ||||
\(364\) | 0.305307 | + | 0.0992002i | 0.0160024 | + | 0.00519950i | ||||
\(365\) | 3.72472 | − | 20.6523i | 0.194961 | − | 1.08099i | ||||
\(366\) | 10.6751 | + | 21.0872i | 0.557997 | + | 1.10224i | ||||
\(367\) | 0.505240 | − | 3.18996i | 0.0263733 | − | 0.166514i | −0.970986 | − | 0.239135i | \(-0.923136\pi\) |
0.997360 | + | 0.0726205i | \(0.0231362\pi\) | |||||||
\(368\) | −1.89068 | + | 1.89068i | −0.0985584 | + | 0.0985584i | ||||
\(369\) | 11.1214 | − | 15.1401i | 0.578954 | − | 0.788163i | ||||
\(370\) | −5.82313 | + | 7.66513i | −0.302730 | + | 0.398491i | ||||
\(371\) | 0.976440 | − | 1.34395i | 0.0506942 | − | 0.0697746i | ||||
\(372\) | −1.20764 | − | 3.75007i | −0.0626134 | − | 0.194432i | ||||
\(373\) | 9.65408 | − | 4.91900i | 0.499869 | − | 0.254696i | −0.185829 | − | 0.982582i | \(-0.559497\pi\) |
0.685698 | + | 0.727886i | \(0.259497\pi\) | |||||||
\(374\) | −25.0479 | −1.29519 | ||||||||
\(375\) | 19.3219 | + | 1.29034i | 0.997778 | + | 0.0666328i | ||||
\(376\) | −10.1521 | −0.523554 | ||||||||
\(377\) | −12.4317 | + | 6.33429i | −0.640268 | + | 0.326233i | ||||
\(378\) | 0.652497 | + | 0.913058i | 0.0335608 | + | 0.0469627i | ||||
\(379\) | 19.6854 | − | 27.0946i | 1.01117 | − | 1.39176i | 0.0929573 | − | 0.995670i | \(-0.470368\pi\) |
0.918213 | − | 0.396087i | \(-0.129632\pi\) | |||||||
\(380\) | 0.651335 | − | 0.857368i | 0.0334128 | − | 0.0439821i | ||||
\(381\) | 18.3681 | + | 18.4644i | 0.941025 | + | 0.945958i | ||||
\(382\) | 3.49555 | − | 3.49555i | 0.178848 | − | 0.178848i | ||||
\(383\) | −2.54182 | + | 16.0484i | −0.129881 | + | 0.820034i | 0.833622 | + | 0.552335i | \(0.186263\pi\) |
−0.963503 | + | 0.267699i | \(0.913737\pi\) | |||||||
\(384\) | −1.54532 | + | 0.782298i | −0.0788592 | + | 0.0399215i | ||||
\(385\) | −0.440372 | + | 2.44171i | −0.0224434 | + | 0.124441i | ||||
\(386\) | −3.20588 | − | 1.04165i | −0.163175 | − | 0.0530187i | ||||
\(387\) | −11.3977 | − | 1.86636i | −0.579379 | − | 0.0948724i | ||||
\(388\) | −4.58178 | + | 8.99225i | −0.232605 | + | 0.456512i | ||||
\(389\) | −0.804900 | + | 2.47723i | −0.0408101 | + | 0.125600i | −0.969386 | − | 0.245542i | \(-0.921034\pi\) |
0.928576 | + | 0.371143i | \(0.121034\pi\) | |||||||
\(390\) | −5.43070 | − | 1.90962i | −0.274994 | − | 0.0966973i | ||||
\(391\) | −4.02838 | − | 12.3981i | −0.203724 | − | 0.626998i | ||||
\(392\) | −6.86775 | − | 1.08774i | −0.346874 | − | 0.0549394i | ||||
\(393\) | 12.2034 | + | 8.91510i | 0.615578 | + | 0.449707i | ||||
\(394\) | 4.30947 | + | 5.93148i | 0.217108 | + | 0.298824i | ||||
\(395\) | 1.41100 | + | 4.68043i | 0.0709952 | + | 0.235498i | ||||
\(396\) | 4.83934 | − | 14.6332i | 0.243186 | − | 0.735345i | ||||
\(397\) | 1.86357 | − | 0.295160i | 0.0935298 | − | 0.0148137i | −0.109494 | − | 0.993987i | \(-0.534923\pi\) |
0.203024 | + | 0.979174i | \(0.434923\pi\) | |||||||
\(398\) | 3.78711 | + | 7.43262i | 0.189831 | + | 0.372563i | ||||
\(399\) | 0.177984 | − | 0.0277131i | 0.00891032 | − | 0.00138739i | ||||
\(400\) | −4.16689 | + | 2.76352i | −0.208344 | + | 0.138176i | ||||
\(401\) | − | 7.16880i | − | 0.357993i | −0.983850 | − | 0.178996i | \(-0.942715\pi\) | ||
0.983850 | − | 0.178996i | \(-0.0572850\pi\) | |||||||
\(402\) | −15.2419 | − | 21.0945i | −0.760199 | − | 1.05210i | ||||
\(403\) | 0.528887 | + | 3.33926i | 0.0263458 | + | 0.166341i | ||||
\(404\) | −7.71559 | − | 5.60571i | −0.383865 | − | 0.278894i | ||||
\(405\) | −11.3051 | − | 16.6492i | −0.561755 | − | 0.827304i | ||||
\(406\) | −1.64017 | + | 1.19165i | −0.0814002 | + | 0.0591407i | ||||
\(407\) | 15.6390 | + | 15.6390i | 0.775197 | + | 0.775197i | ||||
\(408\) | 0.0220755 | − | 8.44451i | 0.00109290 | − | 0.418066i | ||||
\(409\) | 15.2838 | − | 4.96600i | 0.755734 | − | 0.245553i | 0.0942874 | − | 0.995545i | \(-0.469943\pi\) |
0.661447 | + | 0.749992i | \(0.269943\pi\) | |||||||
\(410\) | 1.89459 | + | 13.8734i | 0.0935672 | + | 0.685157i | ||||
\(411\) | −0.777631 | + | 4.82805i | −0.0383577 | + | 0.238150i | ||||
\(412\) | 9.01147 | + | 4.59157i | 0.443963 | + | 0.226211i | ||||
\(413\) | 0.959822 | + | 0.489054i | 0.0472297 | + | 0.0240648i | ||||
\(414\) | 8.02136 | + | 0.0419389i | 0.394228 | + | 0.00206119i | ||||
\(415\) | 7.73586 | + | 8.07354i | 0.379739 | + | 0.396315i | ||||
\(416\) | 1.41362 | − | 0.459312i | 0.0693083 | − | 0.0225196i | ||||
\(417\) | 12.0565 | + | 0.0315179i | 0.590408 | + | 0.00154344i | ||||
\(418\) | −1.74927 | − | 1.74927i | −0.0855596 | − | 0.0855596i | ||||
\(419\) | 1.81333 | − | 1.31746i | 0.0885872 | − | 0.0643624i | −0.542610 | − | 0.839985i | \(-0.682564\pi\) |
0.631197 | + | 0.775622i | \(0.282564\pi\) | |||||||
\(420\) | −0.822798 | − | 0.150617i | −0.0401484 | − | 0.00734934i | ||||
\(421\) | 2.09500 | + | 1.52210i | 0.102104 | + | 0.0741828i | 0.637666 | − | 0.770313i | \(-0.279900\pi\) |
−0.535562 | + | 0.844496i | \(0.679900\pi\) | |||||||
\(422\) | 0.670692 | + | 4.23458i | 0.0326488 | + | 0.206136i | ||||
\(423\) | 21.4229 | + | 21.6481i | 1.04162 | + | 1.05257i | ||||
\(424\) | − | 7.69169i | − | 0.373542i | ||||||
\(425\) | −2.78190 | − | 24.2180i | −0.134942 | − | 1.17475i | ||||
\(426\) | 3.23292 | + | 20.7630i | 0.156636 | + | 1.00597i | ||||
\(427\) | −1.33799 | − | 2.62595i | −0.0647498 | − | 0.127079i | ||||
\(428\) | −10.9072 | + | 1.72754i | −0.527222 | + | 0.0835037i | ||||
\(429\) | −6.03545 | + | 11.7691i | −0.291394 | + | 0.568216i | ||||
\(430\) | 7.07089 | − | 4.91008i | 0.340989 | − | 0.236785i | ||||
\(431\) | −0.661426 | − | 0.910375i | −0.0318598 | − | 0.0438512i | 0.792790 | − | 0.609495i | \(-0.208628\pi\) |
−0.824650 | + | 0.565644i | \(0.808628\pi\) | |||||||
\(432\) | 4.92909 | + | 1.64441i | 0.237151 | + | 0.0791165i | ||||
\(433\) | 20.2750 | + | 3.21125i | 0.974355 | + | 0.154323i | 0.623258 | − | 0.782016i | \(-0.285809\pi\) |
0.351097 | + | 0.936339i | \(0.385809\pi\) | |||||||
\(434\) | 0.151807 | + | 0.467215i | 0.00728698 | + | 0.0224270i | ||||
\(435\) | 29.9160 | − | 20.6582i | 1.43436 | − | 0.990485i | ||||
\(436\) | −1.89491 | + | 5.83194i | −0.0907498 | + | 0.279299i | ||||
\(437\) | 0.584515 | − | 1.14718i | 0.0279611 | − | 0.0548768i | ||||
\(438\) | 5.06355 | − | 15.4465i | 0.241946 | − | 0.738062i | ||||
\(439\) | 22.3736 | + | 7.26963i | 1.06783 | + | 0.346960i | 0.789644 | − | 0.613565i | \(-0.210265\pi\) |
0.278191 | + | 0.960526i | \(0.410265\pi\) | |||||||
\(440\) | 4.99563 | + | 10.3448i | 0.238157 | + | 0.493170i | ||||
\(441\) | 12.1728 | + | 16.9400i | 0.579659 | + | 0.806668i | ||||
\(442\) | −1.13363 | + | 7.15749i | −0.0539215 | + | 0.340447i | ||||
\(443\) | −13.6168 | + | 13.6168i | −0.646952 | + | 0.646952i | −0.952255 | − | 0.305303i | \(-0.901242\pi\) |
0.305303 | + | 0.952255i | \(0.401242\pi\) | |||||||
\(444\) | −5.28624 | + | 5.25867i | −0.250874 | + | 0.249565i | ||||
\(445\) | 13.9630 | + | 20.1078i | 0.661910 | + | 0.953202i | ||||
\(446\) | −0.429625 | + | 0.591328i | −0.0203433 | + | 0.0280002i | ||||
\(447\) | −12.7337 | + | 4.10066i | −0.602283 | + | 0.193954i | ||||
\(448\) | 0.192436 | − | 0.0980509i | 0.00909173 | − | 0.00463247i | ||||
\(449\) | 19.2184 | 0.906973 | 0.453487 | − | 0.891263i | \(-0.350180\pi\) | ||||
0.453487 | + | 0.891263i | \(0.350180\pi\) | |||||||
\(450\) | 14.6859 | + | 3.05380i | 0.692298 | + | 0.143958i | ||||
\(451\) | 32.1710 | 1.51487 | ||||||||
\(452\) | 9.78864 | − | 4.98756i | 0.460419 | − | 0.234595i | ||||
\(453\) | 24.3786 | − | 7.85069i | 1.14541 | − | 0.368858i | ||||
\(454\) | 1.94595 | − | 2.67837i | 0.0913281 | − | 0.125702i | ||||
\(455\) | 0.677794 | + | 0.236346i | 0.0317755 | + | 0.0110801i | ||||
\(456\) | 0.591281 | − | 0.588198i | 0.0276893 | − | 0.0275449i | ||||
\(457\) | 15.9563 | − | 15.9563i | 0.746405 | − | 0.746405i | −0.227397 | − | 0.973802i | \(-0.573021\pi\) |
0.973802 | + | 0.227397i | \(0.0730215\pi\) | |||||||
\(458\) | 1.65068 | − | 10.4220i | 0.0771311 | − | 0.486986i | ||||
\(459\) | −18.0535 | + | 17.7725i | −0.842666 | + | 0.829551i | ||||
\(460\) | −4.31700 | + | 4.13644i | −0.201281 | + | 0.192863i | ||||
\(461\) | 15.2184 | + | 4.94475i | 0.708790 | + | 0.230300i | 0.641156 | − | 0.767410i | \(-0.278455\pi\) |
0.0676337 | + | 0.997710i | \(0.478455\pi\) | |||||||
\(462\) | −0.598662 | + | 1.82624i | −0.0278523 | + | 0.0849642i | ||||
\(463\) | −2.81092 | + | 5.51675i | −0.130635 | + | 0.256385i | −0.947054 | − | 0.321075i | \(-0.895956\pi\) |
0.816419 | + | 0.577460i | \(0.195956\pi\) | |||||||
\(464\) | −2.90074 | + | 8.92755i | −0.134663 | + | 0.414451i | ||||
\(465\) | −2.52069 | − | 8.44117i | −0.116894 | − | 0.391450i | ||||
\(466\) | −3.89021 | − | 11.9728i | −0.180210 | − | 0.554630i | ||||
\(467\) | 22.9270 | + | 3.63127i | 1.06093 | + | 0.168035i | 0.662424 | − | 0.749129i | \(-0.269528\pi\) |
0.398509 | + | 0.917164i | \(0.369528\pi\) | |||||||
\(468\) | −3.96244 | − | 2.04513i | −0.183164 | − | 0.0945362i | ||||
\(469\) | 1.90744 | + | 2.62537i | 0.0880775 | + | 0.121228i | ||||
\(470\) | −22.6956 | − | 0.484761i | −1.04687 | − | 0.0223604i | ||||
\(471\) | 12.9593 | − | 25.2705i | 0.597133 | − | 1.16440i | ||||
\(472\) | 4.92635 | − | 0.780256i | 0.226753 | − | 0.0359142i | ||||
\(473\) | −8.97936 | − | 17.6230i | −0.412871 | − | 0.810305i | ||||
\(474\) | 0.582577 | + | 3.74153i | 0.0267587 | + | 0.171854i | ||||
\(475\) | 1.49704 | − | 1.88560i | 0.0686888 | − | 0.0865171i | ||||
\(476\) | 1.05298i | 0.0482633i | ||||||||
\(477\) | −16.4016 | + | 16.2310i | −0.750979 | + | 0.743167i | ||||
\(478\) | 1.83738 | + | 11.6007i | 0.0840396 | + | 0.530605i | ||||
\(479\) | −18.1330 | − | 13.1744i | −0.828519 | − | 0.601954i | 0.0906212 | − | 0.995885i | \(-0.471115\pi\) |
−0.919140 | + | 0.393931i | \(0.871115\pi\) | |||||||
\(480\) | −3.49200 | + | 1.67508i | −0.159387 | + | 0.0764567i | ||||
\(481\) | 5.17668 | − | 3.76108i | 0.236036 | − | 0.171491i | ||||
\(482\) | −0.860035 | − | 0.860035i | −0.0391735 | − | 0.0391735i | ||||
\(483\) | −1.00022 | − | 0.00261477i | −0.0455117 | − | 0.000118976i | ||||
\(484\) | 14.6409 | − | 4.75712i | 0.665496 | − | 0.216233i | ||||
\(485\) | −10.6722 | + | 19.8839i | −0.484600 | + | 0.902882i | ||||
\(486\) | −6.89486 | − | 13.9807i | −0.312757 | − | 0.634179i | ||||
\(487\) | 18.8976 | + | 9.62881i | 0.856332 | + | 0.436323i | 0.826303 | − | 0.563226i | \(-0.190440\pi\) |
0.0300294 | + | 0.999549i | \(0.490440\pi\) | |||||||
\(488\) | −12.1585 | − | 6.19509i | −0.550391 | − | 0.280438i | ||||
\(489\) | 1.11758 | − | 6.93870i | 0.0505389 | − | 0.313779i | ||||
\(490\) | −15.3013 | − | 2.75965i | −0.691243 | − | 0.124668i | ||||
\(491\) | −29.6177 | + | 9.62339i | −1.33663 | + | 0.434297i | −0.888174 | − | 0.459507i | \(-0.848026\pi\) |
−0.448456 | + | 0.893805i | \(0.648026\pi\) | |||||||
\(492\) | −0.0283534 | + | 10.8460i | −0.00127827 | + | 0.488974i | ||||
\(493\) | −32.3613 | − | 32.3613i | −1.45748 | − | 1.45748i | ||||
\(494\) | −0.579028 | + | 0.420688i | −0.0260517 | + | 0.0189277i | ||||
\(495\) | 11.5174 | − | 32.4823i | 0.517667 | − | 1.45997i | ||||
\(496\) | 1.84019 | + | 1.33698i | 0.0826270 | + | 0.0600320i | ||||
\(497\) | −0.409892 | − | 2.58795i | −0.0183862 | − | 0.116086i | ||||
\(498\) | 5.07256 | + | 7.02030i | 0.227307 | + | 0.314587i | ||||
\(499\) | 1.25659i | 0.0562528i | 0.999604 | + | 0.0281264i | \(0.00895410\pi\) | ||||
−0.999604 | + | 0.0281264i | \(0.991046\pi\) | |||||||
\(500\) | −9.44727 | + | 5.97905i | −0.422495 | + | 0.267391i | ||||
\(501\) | −23.6878 | + | 3.68833i | −1.05829 | + | 0.164783i | ||||
\(502\) | 10.2658 | + | 20.1477i | 0.458184 | + | 0.899236i | ||||
\(503\) | 25.9752 | − | 4.11407i | 1.15818 | − | 0.183437i | 0.452363 | − | 0.891834i | \(-0.350581\pi\) |
0.705815 | + | 0.708397i | \(0.250581\pi\) | |||||||
\(504\) | −0.615160 | − | 0.203439i | −0.0274014 | − | 0.00906191i | ||||
\(505\) | −16.9810 | − | 12.9003i | −0.755644 | − | 0.574056i | ||||
\(506\) | 8.07434 | + | 11.1134i | 0.358948 | + | 0.494050i | ||||
\(507\) | −15.0918 | − | 11.0252i | −0.670251 | − | 0.489648i | ||||
\(508\) | −14.8517 | − | 2.35228i | −0.658938 | − | 0.104366i | ||||
\(509\) | −5.31690 | − | 16.3637i | −0.235668 | − | 0.725310i | −0.997032 | − | 0.0769863i | \(-0.975470\pi\) |
0.761365 | − | 0.648324i | \(-0.224530\pi\) | |||||||
\(510\) | 0.452575 | − | 18.8771i | 0.0200404 | − | 0.835894i | ||||
\(511\) | −0.626355 | + | 1.92772i | −0.0277083 | + | 0.0852775i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −2.50199 | − | 0.0196223i | −0.110465 | − | 0.000866347i | ||||
\(514\) | −4.01395 | − | 1.30421i | −0.177048 | − | 0.0575263i | ||||
\(515\) | 19.9264 | + | 10.6950i | 0.878063 | + | 0.471279i | ||||
\(516\) | 5.94923 | − | 3.01172i | 0.261900 | − | 0.132584i | ||||
\(517\) | −8.15912 | + | 51.5147i | −0.358838 | + | 2.26561i | ||||
\(518\) | 0.657443 | − | 0.657443i | 0.0288864 | − | 0.0288864i | ||||
\(519\) | 1.10930 | + | 1.11512i | 0.0486930 | + | 0.0489483i | ||||
\(520\) | 3.18215 | − | 0.959319i | 0.139547 | − | 0.0420689i | ||||
\(521\) | 7.91212 | − | 10.8901i | 0.346636 | − | 0.477104i | −0.599729 | − | 0.800203i | \(-0.704725\pi\) |
0.946365 | + | 0.323099i | \(0.104725\pi\) | |||||||
\(522\) | 25.1581 | − | 12.6534i | 1.10114 | − | 0.553826i | ||||
\(523\) | −22.9585 | + | 11.6979i | −1.00390 | + | 0.511514i | −0.877046 | − | 0.480407i | \(-0.840489\pi\) |
−0.126858 | + | 0.991921i | \(0.540489\pi\) | |||||||
\(524\) | −8.72546 | −0.381174 | ||||||||
\(525\) | −1.83222 | − | 0.376001i | −0.0799647 | − | 0.0164100i | ||||
\(526\) | 2.57177 | 0.112134 | ||||||||
\(527\) | −9.88101 | + | 5.03463i | −0.430424 | + | 0.219312i | ||||
\(528\) | 2.72765 | + | 8.47012i | 0.118706 | + | 0.368615i | ||||
\(529\) | 9.31679 | − | 12.8235i | 0.405078 | − | 0.557542i | ||||
\(530\) | 0.367277 | − | 17.1952i | 0.0159535 | − | 0.746913i | ||||
\(531\) | −12.0594 | − | 8.85835i | −0.523333 | − | 0.384420i | ||||
\(532\) | −0.0735370 | + | 0.0735370i | −0.00318823 | + | 0.00318823i | ||||
\(533\) | 1.45602 | − | 9.19295i | 0.0630672 | − | 0.398191i | ||||
\(534\) | 8.56457 | + | 16.9181i | 0.370625 | + | 0.732118i | ||||
\(535\) | −24.4663 | + | 3.34119i | −1.05777 | + | 0.144452i | ||||
\(536\) | 14.2901 | + | 4.64313i | 0.617237 | + | 0.200553i | ||||
\(537\) | −19.5028 | − | 6.39325i | −0.841607 | − | 0.275889i | ||||
\(538\) | 10.9703 | − | 21.5305i | 0.472965 | − | 0.928246i | ||||
\(539\) | −11.0391 | + | 33.9747i | −0.475486 | + | 1.46340i | ||||
\(540\) | 10.9407 | + | 3.91153i | 0.470815 | + | 0.168325i | ||||
\(541\) | −6.47364 | − | 19.9238i | −0.278323 | − | 0.856591i | −0.988321 | − | 0.152387i | \(-0.951304\pi\) |
0.709998 | − | 0.704204i | \(-0.248696\pi\) | |||||||
\(542\) | 11.4328 | + | 1.81078i | 0.491082 | + | 0.0777797i | ||||
\(543\) | −17.5643 | + | 24.0428i | −0.753757 | + | 1.03177i | ||||
\(544\) | 2.86572 | + | 3.94433i | 0.122867 | + | 0.169112i | ||||
\(545\) | −4.51466 | + | 12.9472i | −0.193387 | + | 0.554595i | ||||
\(546\) | 0.494756 | + | 0.253722i | 0.0211736 | + | 0.0108583i | ||||
\(547\) | 43.0967 | − | 6.82585i | 1.84268 | − | 0.291852i | 0.864974 | − | 0.501817i | \(-0.167335\pi\) |
0.977709 | + | 0.209965i | \(0.0673349\pi\) | |||||||
\(548\) | −1.28180 | − | 2.51567i | −0.0547557 | − | 0.107464i | ||||
\(549\) | 12.4467 | + | 38.9995i | 0.531211 | + | 1.66446i | ||||
\(550\) | 10.6741 | + | 23.3650i | 0.455143 | + | 0.996287i | ||||
\(551\) | − | 4.52004i | − | 0.192560i | ||||||
\(552\) | −3.75382 | + | 2.71235i | −0.159773 | + | 0.115445i | ||||
\(553\) | −0.0738630 | − | 0.466353i | −0.00314098 | − | 0.0198313i | ||||
\(554\) | −6.09674 | − | 4.42954i | −0.259025 | − | 0.188193i | ||||
\(555\) | −12.0688 | + | 11.5036i | −0.512292 | + | 0.488302i | ||||
\(556\) | −5.63143 | + | 4.09147i | −0.238826 | + | 0.173517i | ||||
\(557\) | −20.7979 | − | 20.7979i | −0.881236 | − | 0.881236i | 0.112424 | − | 0.993660i | \(-0.464139\pi\) |
−0.993660 | + | 0.112424i | \(0.964139\pi\) | |||||||
\(558\) | −1.03223 | − | 6.74528i | −0.0436976 | − | 0.285551i | ||||
\(559\) | −5.44220 | + | 1.76828i | −0.230181 | + | 0.0747902i | ||||
\(560\) | 0.434883 | − | 0.210010i | 0.0183772 | − | 0.00887453i | ||||
\(561\) | −42.8322 | − | 6.89878i | −1.80838 | − | 0.291267i | ||||
\(562\) | −21.0388 | − | 10.7198i | −0.887467 | − | 0.452187i | ||||
\(563\) | 14.0139 | + | 7.14045i | 0.590616 | + | 0.300934i | 0.723639 | − | 0.690179i | \(-0.242468\pi\) |
−0.133022 | + | 0.991113i | \(0.542468\pi\) | |||||||
\(564\) | −17.3602 | − | 2.79613i | −0.730996 | − | 0.117738i | ||||
\(565\) | 22.1212 | − | 10.6826i | 0.930647 | − | 0.449419i | ||||
\(566\) | −9.36284 | + | 3.04217i | −0.393550 | + | 0.127872i | ||||
\(567\) | 0.864300 | + | 1.74105i | 0.0362972 | + | 0.0731174i | ||||
\(568\) | −8.57861 | − | 8.57861i | −0.359950 | − | 0.359950i | ||||
\(569\) | −3.20445 | + | 2.32817i | −0.134338 | + | 0.0976021i | −0.652925 | − | 0.757423i | \(-0.726458\pi\) |
0.518587 | + | 0.855025i | \(0.326458\pi\) | |||||||
\(570\) | 1.34993 | − | 1.28672i | 0.0565424 | − | 0.0538947i | ||||
\(571\) | −31.7943 | − | 23.0999i | −1.33055 | − | 0.966702i | −0.999735 | − | 0.0230060i | \(-0.992676\pi\) |
−0.330815 | − | 0.943696i | \(-0.607324\pi\) | |||||||
\(572\) | −1.19457 | − | 7.54225i | −0.0499477 | − | 0.315357i | ||||
\(573\) | 6.94020 | − | 5.01468i | 0.289931 | − | 0.209491i | ||||
\(574\) | − | 1.35243i | − | 0.0564492i | ||||||
\(575\) | −9.84842 | + | 9.04112i | −0.410708 | + | 0.377041i | ||||
\(576\) | −2.85798 | + | 0.912121i | −0.119082 | + | 0.0380050i | ||||
\(577\) | −8.56788 | − | 16.8154i | −0.356685 | − | 0.700034i | 0.641036 | − | 0.767511i | \(-0.278505\pi\) |
−0.997721 | + | 0.0674769i | \(0.978505\pi\) | |||||||
\(578\) | −6.68673 | + | 1.05907i | −0.278131 | + | 0.0440517i | ||||
\(579\) | −5.19519 | − | 2.66421i | −0.215905 | − | 0.110721i | ||||
\(580\) | −6.91106 | + | 19.8195i | −0.286966 | + | 0.822962i | ||||
\(581\) | −0.634802 | − | 0.873729i | −0.0263360 | − | 0.0362484i | ||||
\(582\) | −10.3116 | + | 14.1149i | −0.427429 | + | 0.585083i | ||||
\(583\) | −39.0299 | − | 6.18173i | −1.61645 | − | 0.256021i | ||||
\(584\) | 2.90012 | + | 8.92565i | 0.120008 | + | 0.369346i | ||||
\(585\) | −8.76062 | − | 4.76122i | −0.362207 | − | 0.196852i | ||||
\(586\) | 1.45939 | − | 4.49153i | 0.0602867 | − | 0.185543i | ||||
\(587\) | 2.11434 | − | 4.14963i | 0.0872683 | − | 0.171274i | −0.843247 | − | 0.537526i | \(-0.819359\pi\) |
0.930516 | + | 0.366252i | \(0.119359\pi\) | |||||||
\(588\) | −11.4443 | − | 3.75160i | −0.471957 | − | 0.154713i | ||||
\(589\) | −1.04166 | − | 0.338457i | −0.0429210 | − | 0.0139459i | ||||
\(590\) | 11.0504 | − | 1.50908i | 0.454937 | − | 0.0621277i | ||||
\(591\) | 5.73558 | + | 11.3298i | 0.235930 | + | 0.466047i | ||||
\(592\) | 0.673443 | − | 4.25195i | 0.0276783 | − | 0.174754i | ||||
\(593\) | 32.4687 | − | 32.4687i | 1.33333 | − | 1.33333i | 0.430960 | − | 0.902371i | \(-0.358175\pi\) |
0.902371 | − | 0.430960i | \(-0.141825\pi\) | |||||||
\(594\) | 12.3057 | − | 23.6901i | 0.504907 | − | 0.972015i | ||||
\(595\) | −0.0502797 | + | 2.35400i | −0.00206127 | + | 0.0965045i | ||||
\(596\) | 4.53982 | − | 6.24853i | 0.185958 | − | 0.255950i | ||||
\(597\) | 4.42888 | + | 13.7529i | 0.181262 | + | 0.562870i | ||||
\(598\) | 3.54111 | − | 1.80428i | 0.144807 | − | 0.0737826i | ||||
\(599\) | 18.2921 | 0.747393 | 0.373697 | − | 0.927551i | \(-0.378090\pi\) | ||||
0.373697 | + | 0.927551i | \(0.378090\pi\) | |||||||
\(600\) | −7.88656 | + | 3.57800i | −0.321968 | + | 0.146071i | ||||
\(601\) | −0.981781 | −0.0400477 | −0.0200238 | − | 0.999800i | \(-0.506374\pi\) | ||||
−0.0200238 | + | 0.999800i | \(0.506374\pi\) | |||||||
\(602\) | −0.740847 | + | 0.377480i | −0.0301947 | + | 0.0153850i | ||||
\(603\) | −20.2540 | − | 40.2698i | −0.824807 | − | 1.63991i | ||||
\(604\) | −8.69147 | + | 11.9628i | −0.353651 | + | 0.486759i | ||||
\(605\) | 32.9577 | − | 9.93571i | 1.33992 | − | 0.403944i | ||||
\(606\) | −11.6498 | − | 11.7109i | −0.473241 | − | 0.475722i | ||||
\(607\) | −2.39455 | + | 2.39455i | −0.0971917 | + | 0.0971917i | −0.754031 | − | 0.656839i | \(-0.771893\pi\) |
0.656839 | + | 0.754031i | \(0.271893\pi\) | |||||||
\(608\) | −0.0753267 | + | 0.475594i | −0.00305490 | + | 0.0192879i | ||||
\(609\) | −3.13292 | + | 1.58600i | −0.126952 | + | 0.0642679i | ||||
\(610\) | −26.8853 | − | 14.4300i | −1.08855 | − | 0.584255i | ||||
\(611\) | 14.3512 | + | 4.66298i | 0.580586 | + | 0.188644i | ||||
\(612\) | 2.36357 | − | 14.4341i | 0.0955415 | − | 0.583465i | ||||
\(613\) | 6.24017 | − | 12.2470i | 0.252038 | − | 0.494653i | −0.729973 | − | 0.683476i | \(-0.760467\pi\) |
0.982011 | + | 0.188823i | \(0.0604673\pi\) | |||||||
\(614\) | 5.16261 | − | 15.8889i | 0.208346 | − | 0.641223i | ||||
\(615\) | −0.581280 | + | 24.2454i | −0.0234395 | + | 0.977671i | ||||
\(616\) | −0.342880 | − | 1.05528i | −0.0138150 | − | 0.0425183i | ||||
\(617\) | −10.1292 | − | 1.60431i | −0.407787 | − | 0.0645872i | −0.0508287 | − | 0.998707i | \(-0.516186\pi\) |
−0.356959 | + | 0.934120i | \(0.616186\pi\) | |||||||
\(618\) | 14.1451 | + | 10.3336i | 0.568999 | + | 0.415679i | ||||
\(619\) | 27.3325 | + | 37.6199i | 1.09859 | + | 1.51207i | 0.837247 | + | 0.546825i | \(0.184164\pi\) |
0.261338 | + | 0.965247i | \(0.415836\pi\) | |||||||
\(620\) | 4.05001 | + | 3.07676i | 0.162652 | + | 0.123566i | ||||
\(621\) | 13.7051 | + | 2.28099i | 0.549966 | + | 0.0915329i | ||||
\(622\) | −29.8303 | + | 4.72465i | −1.19608 | + | 0.189441i | ||||
\(623\) | −1.07346 | − | 2.10678i | −0.0430072 | − | 0.0844063i | ||||
\(624\) | 2.54381 | − | 0.396086i | 0.101834 | − | 0.0158561i | ||||
\(625\) | −21.4054 | + | 12.9154i | −0.856217 | + | 0.516616i | ||||
\(626\) | − | 16.6805i | − | 0.666686i | ||||||
\(627\) | −2.50948 | − | 3.47306i | −0.100219 | − | 0.138701i | ||||
\(628\) | 2.56499 | + | 16.1947i | 0.102354 | + | 0.646239i | ||||
\(629\) | 16.9802 | + | 12.3368i | 0.677043 | + | 0.491900i | ||||
\(630\) | −1.36551 | − | 0.484175i | −0.0544033 | − | 0.0192900i | ||||
\(631\) | −20.6748 | + | 15.0211i | −0.823051 | + | 0.597981i | −0.917585 | − | 0.397540i | \(-0.869864\pi\) |
0.0945340 | + | 0.995522i | \(0.469864\pi\) | |||||||
\(632\) | −1.54588 | − | 1.54588i | −0.0614917 | − | 0.0614917i | ||||
\(633\) | −0.0194127 | + | 7.42591i | −0.000771586 | + | 0.295153i | ||||
\(634\) | 10.3155 | − | 3.35172i | 0.409683 | − | 0.133114i | ||||
\(635\) | −33.0895 | − | 5.96783i | −1.31312 | − | 0.236826i | ||||
\(636\) | 2.11847 | − | 13.1529i | 0.0840030 | − | 0.521546i | ||||
\(637\) | 9.20875 | + | 4.69209i | 0.364864 | + | 0.185907i | ||||
\(638\) | 42.9697 | + | 21.8942i | 1.70119 | + | 0.866798i | ||||
\(639\) | −0.190290 | + | 36.3955i | −0.00752777 | + | 1.43978i | ||||
\(640\) | 1.05747 | − | 1.97022i | 0.0418001 | − | 0.0778797i | ||||
\(641\) | 0.702023 | − | 0.228101i | 0.0277282 | − | 0.00900945i | −0.295120 | − | 0.955460i | \(-0.595360\pi\) |
0.322848 | + | 0.946451i | \(0.395360\pi\) | |||||||
\(642\) | −19.1273 | − | 0.0500024i | −0.754896 | − | 0.00197344i | ||||
\(643\) | 17.1573 | + | 17.1573i | 0.676616 | + | 0.676616i | 0.959233 | − | 0.282617i | \(-0.0912025\pi\) |
−0.282617 | + | 0.959233i | \(0.591203\pi\) | |||||||
\(644\) | 0.467192 | − | 0.339435i | 0.0184099 | − | 0.0133756i | ||||
\(645\) | 13.4437 | − | 6.44880i | 0.529344 | − | 0.253921i | ||||
\(646\) | −1.89928 | − | 1.37991i | −0.0747262 | − | 0.0542918i | ||||
\(647\) | −0.943217 | − | 5.95524i | −0.0370817 | − | 0.234125i | 0.962186 | − | 0.272394i | \(-0.0878154\pi\) |
−0.999267 | + | 0.0382696i | \(0.987815\pi\) | |||||||
\(648\) | 7.97590 | + | 4.16954i | 0.313323 | + | 0.163795i | ||||
\(649\) | − | 25.6248i | − | 1.00586i | ||||||
\(650\) | 7.15970 | − | 1.99266i | 0.280826 | − | 0.0781587i | ||||
\(651\) | 0.130910 | + | 0.840754i | 0.00513078 | + | 0.0329517i | ||||
\(652\) | 1.84215 | + | 3.61543i | 0.0721443 | + | 0.141591i | ||||
\(653\) | −9.97451 | + | 1.57981i | −0.390333 | + | 0.0618226i | −0.348516 | − | 0.937303i | \(-0.613314\pi\) |
−0.0418163 | + | 0.999125i | \(0.513314\pi\) | |||||||
\(654\) | −4.84657 | + | 9.45078i | −0.189516 | + | 0.369555i | ||||
\(655\) | −19.5063 | − | 0.416640i | −0.762174 | − | 0.0162795i | ||||
\(656\) | −3.68068 | − | 5.06602i | −0.143706 | − | 0.197795i | ||||
\(657\) | 12.9131 | − | 25.0191i | 0.503787 | − | 0.976087i | ||||
\(658\) | 2.16561 | + | 0.342999i | 0.0844242 | + | 0.0133715i | ||||
\(659\) | 3.59331 | + | 11.0591i | 0.139975 | + | 0.430800i | 0.996331 | − | 0.0855871i | \(-0.0272766\pi\) |
−0.856355 | + | 0.516387i | \(0.827277\pi\) | |||||||
\(660\) | 5.69337 | + | 19.0657i | 0.221614 | + | 0.742131i | ||||
\(661\) | 12.8291 | − | 39.4838i | 0.498993 | − | 1.53574i | −0.311648 | − | 0.950197i | \(-0.600881\pi\) |
0.810641 | − | 0.585544i | \(-0.199119\pi\) | |||||||
\(662\) | 4.37411 | − | 8.58467i | 0.170005 | − | 0.333653i | ||||
\(663\) | −3.90987 | + | 11.9272i | −0.151847 | + | 0.463213i | ||||
\(664\) | −4.75577 | − | 1.54524i | −0.184560 | − | 0.0599671i | ||||
\(665\) | −0.167908 | + | 0.160885i | −0.00651118 | + | 0.00623885i | ||||
\(666\) | −10.4879 | + | 7.53643i | −0.406397 | + | 0.292031i | ||||
\(667\) | −3.92637 | + | 24.7901i | −0.152030 | + | 0.959877i | ||||
\(668\) | 9.78704 | − | 9.78704i | 0.378672 | − | 0.378672i | ||||
\(669\) | −0.897530 | + | 0.892849i | −0.0347005 | + | 0.0345195i | ||||
\(670\) | 31.7246 | + | 11.0623i | 1.22563 | + | 0.427375i | ||||
\(671\) | −41.2074 | + | 56.7171i | −1.59079 | + | 2.18954i | ||||
\(672\) | 0.356073 | − | 0.114667i | 0.0137358 | − | 0.00442337i | ||||
\(673\) | −23.9046 | + | 12.1800i | −0.921454 | + | 0.469504i | −0.849313 | − | 0.527890i | \(-0.822983\pi\) |
−0.0721411 | + | 0.997394i | \(0.522983\pi\) | |||||||
\(674\) | 28.1544 | 1.08447 | ||||||||
\(675\) | 24.2719 | + | 9.26687i | 0.934226 | + | 0.356682i | ||||
\(676\) | 10.7907 | 0.415028 | ||||||||
\(677\) | 19.6621 | − | 10.0184i | 0.755677 | − | 0.385037i | −0.0333112 | − | 0.999445i | \(-0.510605\pi\) |
0.788988 | + | 0.614408i | \(0.210605\pi\) | |||||||
\(678\) | 18.1124 | − | 5.83277i | 0.695602 | − | 0.224006i | ||||
\(679\) | 1.28118 | − | 1.76340i | 0.0491673 | − | 0.0676729i | ||||
\(680\) | 6.21815 | + | 8.95461i | 0.238455 | + | 0.343394i | ||||
\(681\) | 4.06529 | − | 4.04409i | 0.155782 | − | 0.154970i | ||||
\(682\) | 8.26315 | − | 8.26315i | 0.316413 | − | 0.316413i | ||||
\(683\) | 3.06282 | − | 19.3379i | 0.117196 | − | 0.739944i | −0.857180 | − | 0.515017i | \(-0.827786\pi\) |
0.974376 | − | 0.224927i | \(-0.0722144\pi\) | |||||||
\(684\) | 1.17310 | − | 0.842973i | 0.0448547 | − | 0.0322319i | ||||
\(685\) | −2.74541 | − | 5.68513i | −0.104897 | − | 0.217218i | ||||
\(686\) | 2.86609 | + | 0.931249i | 0.109428 | + | 0.0355552i | ||||
\(687\) | 5.69313 | − | 17.3670i | 0.217207 | − | 0.662594i | ||||
\(688\) | −1.74779 | + | 3.43023i | −0.0666339 | + | 0.130776i | ||||
\(689\) | −3.53289 | + | 10.8731i | −0.134592 | + | 0.414232i | ||||
\(690\) | −8.52140 | + | 5.88436i | −0.324404 | + | 0.224014i | ||||
\(691\) | 12.6136 | + | 38.8206i | 0.479843 | + | 1.47681i | 0.839313 | + | 0.543649i | \(0.182958\pi\) |
−0.359469 | + | 0.933157i | \(0.617042\pi\) | |||||||
\(692\) | −0.896939 | − | 0.142061i | −0.0340965 | − | 0.00540036i | ||||
\(693\) | −1.52671 | + | 2.95800i | −0.0579949 | + | 0.112365i | ||||
\(694\) | −11.3510 | − | 15.6232i | −0.430876 | − | 0.593050i | ||||
\(695\) | −12.7848 | + | 8.87783i | −0.484954 | + | 0.336755i | ||||
\(696\) | −7.41915 | + | 14.4673i | −0.281222 | + | 0.548381i | ||||
\(697\) | 30.1540 | − | 4.77592i | 1.14216 | − | 0.180901i | ||||
\(698\) | −6.54286 | − | 12.8411i | −0.247651 | − | 0.486042i | ||||
\(699\) | −3.35470 | − | 21.5451i | −0.126886 | − | 0.814912i | ||||
\(700\) | 0.982234 | − | 0.448723i | 0.0371250 | − | 0.0169601i | ||||
\(701\) | − | 1.34594i | − | 0.0508356i | −0.999677 | − | 0.0254178i | \(-0.991908\pi\) | ||
0.999677 | − | 0.0254178i | \(-0.00809161\pi\) | |||||||
\(702\) | −6.21255 | − | 4.58855i | −0.234478 | − | 0.173184i | ||||
\(703\) | 0.324278 | + | 2.04741i | 0.0122304 | + | 0.0772195i | ||||
\(704\) | −4.15636 | − | 3.01977i | −0.156649 | − | 0.113812i | ||||
\(705\) | −38.6762 | − | 7.07985i | −1.45663 | − | 0.266642i | ||||
\(706\) | 28.3247 | − | 20.5791i | 1.06601 | − | 0.774503i | ||||
\(707\) | 1.45647 | + | 1.45647i | 0.0547762 | + | 0.0547762i | ||||
\(708\) | 8.63901 | + | 0.0225840i | 0.324674 | + | 0.000848758i | ||||
\(709\) | −5.99345 | + | 1.94739i | −0.225089 | + | 0.0731358i | −0.419390 | − | 0.907806i | \(-0.637756\pi\) |
0.194301 | + | 0.980942i | \(0.437756\pi\) | |||||||
\(710\) | −18.7684 | − | 19.5876i | −0.704364 | − | 0.735110i | ||||
\(711\) | −0.0342906 | + | 6.55851i | −0.00128600 | + | 0.245963i | ||||
\(712\) | −9.75471 | − | 4.97027i | −0.365573 | − | 0.186269i | ||||
\(713\) | 5.41900 | + | 2.76112i | 0.202943 | + | 0.103405i | ||||
\(714\) | −0.290016 | + | 1.80061i | −0.0108536 | + | 0.0673861i | ||||
\(715\) | −2.31040 | − | 16.9182i | −0.0864041 | − | 0.632704i | ||||
\(716\) | 11.2695 | − | 3.66170i | 0.421163 | − | 0.136844i | ||||
\(717\) | −0.0531816 | + | 20.3435i | −0.00198610 | + | 0.759740i | ||||
\(718\) | 24.4491 | + | 24.4491i | 0.912432 | + | 0.912432i | ||||
\(719\) | 15.2779 | − | 11.1001i | 0.569770 | − | 0.413962i | −0.265251 | − | 0.964179i | \(-0.585455\pi\) |
0.835022 | + | 0.550217i | \(0.185455\pi\) | |||||||
\(720\) | −6.43273 | + | 1.90263i | −0.239734 | + | 0.0709069i | ||||
\(721\) | −1.76717 | − | 1.28392i | −0.0658127 | − | 0.0478157i | ||||
\(722\) | 2.93598 | + | 18.5371i | 0.109266 | + | 0.689878i | ||||
\(723\) | −1.23380 | − | 1.70755i | −0.0458854 | − | 0.0635043i | ||||
\(724\) | − | 17.1907i | − | 0.638888i | ||||||
\(725\) | −16.3964 | + | 43.9777i | −0.608949 | + | 1.63329i | ||||
\(726\) | 26.3463 | − | 4.10228i | 0.977805 | − | 0.152250i | ||||
\(727\) | −5.62601 | − | 11.0417i | −0.208657 | − | 0.409513i | 0.762832 | − | 0.646597i | \(-0.223808\pi\) |
−0.971489 | + | 0.237084i | \(0.923808\pi\) | |||||||
\(728\) | −0.317066 | + | 0.0502184i | −0.0117513 | + | 0.00186122i | ||||
\(729\) | −7.93968 | − | 25.8062i | −0.294062 | − | 0.955786i | ||||
\(730\) | 6.05719 | + | 20.0923i | 0.224187 | + | 0.743649i | ||||
\(731\) | −11.0326 | − | 15.1850i | −0.408055 | − | 0.561639i | ||||
\(732\) | −19.0850 | − | 13.9424i | −0.705401 | − | 0.515327i | ||||
\(733\) | 9.27418 | + | 1.46889i | 0.342550 | + | 0.0542545i | 0.325339 | − | 0.945597i | \(-0.394522\pi\) |
0.0172103 | + | 0.999852i | \(0.494522\pi\) | |||||||
\(734\) | 0.998039 | + | 3.07165i | 0.0368383 | + | 0.113377i | ||||
\(735\) | −25.4054 | − | 8.93338i | −0.937090 | − | 0.329513i | ||||
\(736\) | 0.826257 | − | 2.54296i | 0.0304562 | − | 0.0937346i | ||||
\(737\) | 35.0454 | − | 68.7804i | 1.29091 | − | 2.53356i | ||||
\(738\) | −3.03572 | + | 18.5389i | −0.111746 | + | 0.682428i | ||||
\(739\) | −18.0916 | − | 5.87832i | −0.665511 | − | 0.216238i | −0.0432699 | − | 0.999063i | \(-0.513778\pi\) |
−0.622241 | + | 0.782826i | \(0.713778\pi\) | |||||||
\(740\) | 1.70855 | − | 9.47333i | 0.0628076 | − | 0.348247i | ||||
\(741\) | −1.10601 | + | 0.559904i | −0.0406304 | + | 0.0205686i | ||||
\(742\) | −0.259872 | + | 1.64077i | −0.00954019 | + | 0.0602344i | ||||
\(743\) | 23.1938 | − | 23.1938i | 0.850899 | − | 0.850899i | −0.139345 | − | 0.990244i | \(-0.544500\pi\) |
0.990244 | + | 0.139345i | \(0.0444997\pi\) | |||||||
\(744\) | 2.77851 | + | 2.79308i | 0.101865 | + | 0.102399i | ||||
\(745\) | 10.4474 | − | 13.7522i | 0.382763 | − | 0.503841i | ||||
\(746\) | −6.36867 | + | 8.76572i | −0.233174 | + | 0.320936i | ||||
\(747\) | 6.74058 | + | 13.4019i | 0.246625 | + | 0.490350i | ||||
\(748\) | 22.3178 | − | 11.3715i | 0.816020 | − | 0.415783i | ||||
\(749\) | 2.38506 | 0.0871483 | ||||||||
\(750\) | −17.8017 | + | 7.62225i | −0.650027 | + | 0.278325i | ||||
\(751\) | 35.1267 | 1.28179 | 0.640895 | − | 0.767628i | \(-0.278563\pi\) | ||||
0.640895 | + | 0.767628i | \(0.278563\pi\) | |||||||
\(752\) | 9.04558 | − | 4.60895i | 0.329858 | − | 0.168071i | ||||
\(753\) | 12.0054 | + | 37.2803i | 0.437502 | + | 1.35857i | ||||
\(754\) | 8.20106 | − | 11.2878i | 0.298665 | − | 0.411077i | ||||
\(755\) | −20.0015 | + | 26.3285i | −0.727929 | + | 0.958192i | ||||
\(756\) | −0.995899 | − | 0.517314i | −0.0362205 | − | 0.0188145i | ||||
\(757\) | 20.0652 | − | 20.0652i | 0.729283 | − | 0.729283i | −0.241194 | − | 0.970477i | \(-0.577539\pi\) |
0.970477 | + | 0.241194i | \(0.0775389\pi\) | |||||||
\(758\) | −5.23911 | + | 33.0785i | −0.190293 | + | 1.20146i | ||||
\(759\) | 10.7463 | + | 21.2279i | 0.390067 | + | 0.770523i | ||||
\(760\) | −0.191107 | + | 1.05962i | −0.00693217 | + | 0.0384365i | ||||
\(761\) | −30.4666 | − | 9.89919i | −1.10441 | − | 0.358845i | −0.300613 | − | 0.953746i | \(-0.597191\pi\) |
−0.803799 | + | 0.594901i | \(0.797191\pi\) | |||||||
\(762\) | −24.7487 | − | 8.11294i | −0.896552 | − | 0.293901i | ||||
\(763\) | 0.601254 | − | 1.18003i | 0.0217669 | − | 0.0427199i | ||||
\(764\) | −1.52761 | + | 4.70151i | −0.0552671 | + | 0.170095i | ||||
\(765\) | 5.97312 | − | 32.1555i | 0.215959 | − | 1.16258i | ||||
\(766\) | −5.02104 | − | 15.4532i | −0.181418 | − | 0.558346i | ||||
\(767\) | −7.32235 | − | 1.15975i | −0.264395 | − | 0.0418760i | ||||
\(768\) | 1.02173 | − | 1.39859i | 0.0368686 | − | 0.0504674i | ||||
\(769\) | −8.74366 | − | 12.0346i | −0.315305 | − | 0.433980i | 0.621722 | − | 0.783238i | \(-0.286433\pi\) |
−0.937026 | + | 0.349259i | \(0.886433\pi\) | |||||||
\(770\) | −0.716140 | − | 2.37551i | −0.0258079 | − | 0.0856073i | ||||
\(771\) | −6.50470 | − | 3.33576i | −0.234261 | − | 0.120134i | ||||
\(772\) | 3.32936 | − | 0.527318i | 0.119826 | − | 0.0189786i | ||||
\(773\) | −10.0990 | − | 19.8204i | −0.363235 | − | 0.712889i | 0.634985 | − | 0.772524i | \(-0.281006\pi\) |
−0.998220 | + | 0.0596354i | \(0.981006\pi\) | |||||||
\(774\) | 11.0028 | − | 3.51152i | 0.395486 | − | 0.126219i | ||||
\(775\) | 8.90713 | + | 7.07166i | 0.319953 | + | 0.254022i | ||||
\(776\) | − | 10.0922i | − | 0.362290i | ||||||
\(777\) | 1.30531 | − | 0.943161i | 0.0468278 | − | 0.0338357i | ||||
\(778\) | −0.407467 | − | 2.57264i | −0.0146084 | − | 0.0922337i | ||||
\(779\) | 2.43940 | + | 1.77233i | 0.0874006 | + | 0.0635003i | ||||
\(780\) | 5.70574 | − | 0.764006i | 0.204298 | − | 0.0273558i | ||||
\(781\) | −50.4249 | + | 36.6358i | −1.80435 | + | 1.31093i | ||||
\(782\) | 9.21792 | + | 9.21792i | 0.329632 | + | 0.329632i | ||||
\(783\) | 46.5057 | − | 14.7084i | 1.66198 | − | 0.525635i | ||||
\(784\) | 6.61303 | − | 2.14870i | 0.236180 | − | 0.0767395i | ||||
\(785\) | 4.96089 | + | 36.3267i | 0.177062 | + | 1.29655i | ||||
\(786\) | −14.9207 | − | 2.40320i | −0.532202 | − | 0.0857193i | ||||
\(787\) | −45.7145 | − | 23.2927i | −1.62955 | − | 0.830295i | −0.998512 | − | 0.0545406i | \(-0.982631\pi\) |
−0.631035 | − | 0.775755i | \(-0.717369\pi\) | |||||||
\(788\) | −6.53260 | − | 3.32853i | −0.232714 | − | 0.118574i | ||||
\(789\) | 4.39775 | + | 0.708326i | 0.156564 | + | 0.0252171i | ||||
\(790\) | −3.38208 | − | 3.52971i | −0.120329 | − | 0.125582i | ||||
\(791\) | −2.25659 | + | 0.733210i | −0.0802351 | + | 0.0260700i | ||||
\(792\) | 2.33144 | + | 15.2353i | 0.0828442 | + | 0.541362i | ||||
\(793\) | 14.3420 | + | 14.3420i | 0.509301 | + | 0.509301i | ||||
\(794\) | −1.52645 | + | 1.10903i | −0.0541717 | + | 0.0393580i | ||||
\(795\) | 5.36402 | − | 29.3029i | 0.190242 | − | 1.03927i | ||||
\(796\) | −6.74867 | − | 4.90320i | −0.239200 | − | 0.173789i | ||||
\(797\) | 0.485494 | + | 3.06529i | 0.0171971 | + | 0.108578i | 0.994794 | − | 0.101909i | \(-0.0324950\pi\) |
−0.977597 | + | 0.210487i | \(0.932495\pi\) | |||||||
\(798\) | −0.146003 | + | 0.105495i | −0.00516845 | + | 0.00373450i | ||||
\(799\) | 49.4961i | 1.75105i | ||||||||
\(800\) | 2.45811 | − | 4.35404i | 0.0869072 | − | 0.153939i | ||||
\(801\) | 9.98587 | + | 31.2890i | 0.352833 | + | 1.10554i | ||||
\(802\) | 3.25457 | + | 6.38745i | 0.114923 | + | 0.225549i | ||||
\(803\) | 47.6222 | − | 7.54261i | 1.68055 | − | 0.266173i | ||||
\(804\) | 23.1574 | + | 11.8756i | 0.816698 | + | 0.418821i | ||||
\(805\) | 1.06064 | − | 0.736517i | 0.0373827 | − | 0.0259588i | ||||
\(806\) | −1.98724 | − | 2.73520i | −0.0699974 | − | 0.0963431i | ||||
\(807\) | 24.6894 | − | 33.7959i | 0.869109 | − | 1.18967i | ||||
\(808\) | 9.41958 | + | 1.49192i | 0.331380 | + | 0.0524854i | ||||
\(809\) | 4.71934 | + | 14.5246i | 0.165923 | + | 0.510659i | 0.999103 | − | 0.0423432i | \(-0.0134823\pi\) |
−0.833180 | + | 0.553002i | \(0.813482\pi\) | |||||||
\(810\) | 17.6315 | + | 9.70210i | 0.619507 | + | 0.340897i | ||||
\(811\) | 1.02202 | − | 3.14544i | 0.0358879 | − | 0.110451i | −0.931508 | − | 0.363721i | \(-0.881506\pi\) |
0.967396 | + | 0.253270i | \(0.0815060\pi\) | |||||||
\(812\) | 0.920402 | − | 1.80639i | 0.0322998 | − | 0.0633919i | ||||
\(813\) | 19.0515 | + | 6.24533i | 0.668166 | + | 0.219033i | ||||
\(814\) | −21.0344 | − | 6.83450i | −0.737256 | − | 0.239549i | ||||
\(815\) | 3.94560 | + | 8.17046i | 0.138208 | + | 0.286199i | ||||
\(816\) | 3.81406 | + | 7.53414i | 0.133519 | + | 0.263748i | ||||
\(817\) | 0.289996 | − | 1.83096i | 0.0101457 | − | 0.0640572i | ||||
\(818\) | −11.3634 | + | 11.3634i | −0.397313 | + | 0.397313i | ||||
\(819\) | 0.776158 | + | 0.570136i | 0.0271212 | + | 0.0199222i | ||||
\(820\) | −7.98647 | − | 11.5011i | −0.278900 | − | 0.401637i | ||||
\(821\) | 18.3359 | − | 25.2372i | 0.639927 | − | 0.880784i | −0.358685 | − | 0.933459i | \(-0.616775\pi\) |
0.998612 | + | 0.0526750i | \(0.0167748\pi\) | |||||||
\(822\) | −1.49901 | − | 4.65486i | −0.0522841 | − | 0.162357i | ||||
\(823\) | 13.9035 | − | 7.08420i | 0.484647 | − | 0.246940i | −0.194555 | − | 0.980892i | \(-0.562326\pi\) |
0.679202 | + | 0.733952i | \(0.262326\pi\) | |||||||
\(824\) | −10.1138 | −0.352331 | ||||||||
\(825\) | 11.8175 | + | 42.8943i | 0.411432 | + | 1.49339i | ||||
\(826\) | −1.07723 | −0.0374817 | ||||||||
\(827\) | 3.23908 | − | 1.65039i | 0.112634 | − | 0.0573898i | −0.396766 | − | 0.917920i | \(-0.629868\pi\) |
0.509400 | + | 0.860530i | \(0.329868\pi\) | |||||||
\(828\) | −7.16612 | + | 3.60425i | −0.249040 | + | 0.125256i | ||||
\(829\) | −14.6691 | + | 20.1903i | −0.509480 | + | 0.701239i | −0.983832 | − | 0.179096i | \(-0.942683\pi\) |
0.474351 | + | 0.880336i | \(0.342683\pi\) | |||||||
\(830\) | −10.5580 | − | 3.68157i | −0.366474 | − | 0.127789i | ||||
\(831\) | −9.20549 | − | 9.25375i | −0.319335 | − | 0.321009i | ||||
\(832\) | −1.05102 | + | 1.05102i | −0.0364375 | + | 0.0364375i | ||||
\(833\) | −5.30325 | + | 33.4834i | −0.183747 | + | 1.16013i | ||||
\(834\) | −10.7567 | + | 5.44544i | −0.372474 | + | 0.188560i | ||||
\(835\) | 22.3468 | − | 21.4122i | 0.773344 | − | 0.740999i | ||||
\(836\) | 2.35276 | + | 0.764459i | 0.0813720 | + | 0.0264394i | ||||
\(837\) | 0.0926914 | − | 11.8188i | 0.00320388 | − | 0.408518i | ||||
\(838\) | −1.01758 | + | 1.99711i | −0.0351516 | + | 0.0689889i | ||||
\(839\) | 5.55073 | − | 17.0834i | 0.191632 | − | 0.589784i | −0.808367 | − | 0.588679i | \(-0.799648\pi\) |
0.999999 | − | 0.00110507i | \(-0.000351754\pi\) | |||||||
\(840\) | 0.801497 | − | 0.239342i | 0.0276543 | − | 0.00825808i | ||||
\(841\) | 18.2677 | + | 56.2221i | 0.629920 | + | 1.93869i | ||||
\(842\) | −2.55767 | − | 0.405096i | −0.0881433 | − | 0.0139605i | ||||
\(843\) | −33.0241 | − | 24.1255i | −1.13741 | − | 0.830928i | ||||
\(844\) | −2.52005 | − | 3.46855i | −0.0867437 | − | 0.119392i | ||||
\(845\) | 24.1233 | + | 0.515256i | 0.829866 | + | 0.0177253i | ||||
\(846\) | −28.9160 | − | 9.56282i | −0.994153 | − | 0.328776i | ||||
\(847\) | −3.28387 | + | 0.520114i | −0.112835 | + | 0.0178713i | ||||
\(848\) | 3.49196 | + | 6.85335i | 0.119914 | + | 0.235345i | ||||
\(849\) | −16.8485 | + | 2.62340i | −0.578238 | + | 0.0900350i | ||||
\(850\) | 13.4734 | + | 20.3155i | 0.462135 | + | 0.696815i | ||||
\(851\) | − | 11.5107i | − | 0.394581i | ||||||
\(852\) | −12.3068 | − | 17.0323i | −0.421623 | − | 0.583516i | ||||
\(853\) | −4.94081 | − | 31.1950i | −0.169170 | − | 1.06810i | −0.915440 | − | 0.402454i | \(-0.868157\pi\) |
0.746270 | − | 0.665643i | \(-0.231843\pi\) | |||||||
\(854\) | 2.38431 | + | 1.73230i | 0.0815894 | + | 0.0592782i | ||||
\(855\) | 2.66279 | − | 1.82850i | 0.0910655 | − | 0.0625334i | ||||
\(856\) | 8.93414 | − | 6.49104i | 0.305363 | − | 0.221859i | ||||
\(857\) | −8.57240 | − | 8.57240i | −0.292828 | − | 0.292828i | 0.545369 | − | 0.838196i | \(-0.316390\pi\) |
−0.838196 | + | 0.545369i | \(0.816390\pi\) | |||||||
\(858\) | 0.0345761 | − | 13.2264i | 0.00118041 | − | 0.451540i | ||||
\(859\) | 1.99366 | − | 0.647780i | 0.0680228 | − | 0.0221020i | −0.274808 | − | 0.961499i | \(-0.588614\pi\) |
0.342831 | + | 0.939397i | \(0.388614\pi\) | |||||||
\(860\) | −4.07108 | + | 7.58503i | −0.138823 | + | 0.258647i | ||||
\(861\) | 0.372491 | − | 2.31267i | 0.0126944 | − | 0.0788155i | ||||
\(862\) | 1.00264 | + | 0.510869i | 0.0341500 | + | 0.0174003i | ||||
\(863\) | −25.5918 | − | 13.0397i | −0.871155 | − | 0.443876i | −0.0395333 | − | 0.999218i | \(-0.512587\pi\) |
−0.831622 | + | 0.555343i | \(0.812587\pi\) | |||||||
\(864\) | −5.13840 | + | 0.772583i | −0.174812 | + | 0.0262838i | ||||
\(865\) | −1.99838 | − | 0.360415i | −0.0679468 | − | 0.0122545i | ||||
\(866\) | −19.5231 | + | 6.34342i | −0.663420 | + | 0.215558i | ||||
\(867\) | −11.7261 | − | 0.0306542i | −0.398239 | − | 0.00104107i | ||||
\(868\) | −0.347372 | − | 0.347372i | −0.0117906 | − | 0.0117906i | ||||
\(869\) | −9.08664 | + | 6.60183i | −0.308243 | + | 0.223952i | ||||
\(870\) | −17.2768 | + | 31.9882i | −0.585737 | + | 1.08450i | ||||
\(871\) | −18.0680 | − | 13.1272i | −0.612212 | − | 0.444798i | ||||
\(872\) | −0.959266 | − | 6.05656i | −0.0324848 | − | 0.205101i | ||||
\(873\) | −21.5205 | + | 21.2966i | −0.728359 | + | 0.720782i | ||||
\(874\) | 1.28751i | 0.0435505i | ||||||||
\(875\) | 2.21727 | − | 0.956245i | 0.0749573 | − | 0.0323270i | ||||
\(876\) | 2.50091 | + | 16.0617i | 0.0844978 | + | 0.542676i | ||||
\(877\) | 7.83550 | + | 15.3780i | 0.264586 | + | 0.519279i | 0.984631 | − | 0.174648i | \(-0.0558788\pi\) |
−0.720045 | + | 0.693927i | \(0.755879\pi\) | |||||||
\(878\) | −23.2354 | + | 3.68012i | −0.784156 | + | 0.124198i | ||||
\(879\) | 3.73264 | − | 7.27862i | 0.125899 | − | 0.245502i | ||||
\(880\) | −9.14759 | − | 6.94934i | −0.308365 | − | 0.234262i | ||||
\(881\) | −11.5046 | − | 15.8347i | −0.387600 | − | 0.533485i | 0.569978 | − | 0.821660i | \(-0.306952\pi\) |
−0.957578 | + | 0.288175i | \(0.906952\pi\) | |||||||
\(882\) | −18.5367 | − | 9.56732i | −0.624163 | − | 0.322148i | ||||
\(883\) | 13.3245 | + | 2.11040i | 0.448406 | + | 0.0710206i | 0.376554 | − | 0.926395i | \(-0.377109\pi\) |
0.0718524 | + | 0.997415i | \(0.477109\pi\) | |||||||
\(884\) | −2.23936 | − | 6.89203i | −0.0753177 | − | 0.231804i | ||||
\(885\) | 19.3119 | + | 0.463000i | 0.649164 | + | 0.0155636i | ||||
\(886\) | 5.95075 | − | 18.3145i | 0.199919 | − | 0.615288i | ||||
\(887\) | −23.7996 | + | 46.7094i | −0.799114 | + | 1.56835i | 0.0234837 | + | 0.999724i | \(0.492524\pi\) |
−0.822597 | + | 0.568624i | \(0.807476\pi\) | |||||||
\(888\) | 2.32268 | − | 7.08541i | 0.0779442 | − | 0.237771i | ||||
\(889\) | 3.08864 | + | 1.00356i | 0.103590 | + | 0.0336583i | ||||
\(890\) | −21.5699 | − | 11.5771i | −0.723024 | − | 0.388066i | ||||
\(891\) | 27.5676 | − | 37.1210i | 0.923550 | − | 1.24360i | ||||
\(892\) | 0.114341 | − | 0.721923i | 0.00382843 | − | 0.0241718i | ||||
\(893\) | −3.45666 | + | 3.45666i | −0.115673 | + | 0.115673i | ||||
\(894\) | 9.48414 | − | 9.43468i | 0.317197 | − | 0.315543i | ||||
\(895\) | 25.3686 | − | 7.64782i | 0.847978 | − | 0.255638i | ||||
\(896\) | −0.126947 | + | 0.174728i | −0.00424101 | + | 0.00583725i | ||||
\(897\) | 6.55228 | − | 2.11004i | 0.218774 | − | 0.0704523i | ||||
\(898\) | −17.1237 | + | 8.72498i | −0.571426 | + | 0.291156i | ||||
\(899\) | 21.3516 | 0.712117 | ||||||||
\(900\) | −14.4716 | + | 3.94628i | −0.482386 | + | 0.131543i | ||||
\(901\) | −37.5005 | −1.24932 | ||||||||
\(902\) | −28.6646 | + | 14.6053i | −0.954427 | + | 0.486305i | ||||
\(903\) | −1.37082 | + | 0.441449i | −0.0456182 | + | 0.0146905i | ||||
\(904\) | −6.45744 | + | 8.88790i | −0.214771 | + | 0.295607i | ||||
\(905\) | 0.820854 | − | 38.4308i | 0.0272861 | − | 1.27748i | ||||
\(906\) | −18.1574 | + | 18.0627i | −0.603238 | + | 0.600092i | ||||
\(907\) | 7.30011 | − | 7.30011i | 0.242396 | − | 0.242396i | −0.575445 | − | 0.817841i | \(-0.695171\pi\) |
0.817841 | + | 0.575445i | \(0.195171\pi\) | |||||||
\(908\) | −0.517900 | + | 3.26989i | −0.0171871 | + | 0.108515i | ||||
\(909\) | −16.6959 | − | 23.2344i | −0.553767 | − | 0.770636i | ||||
\(910\) | −0.711218 | + | 0.0971262i | −0.0235766 | + | 0.00321970i | ||||
\(911\) | 26.9954 | + | 8.77133i | 0.894397 | + | 0.290607i | 0.719922 | − | 0.694055i | \(-0.244177\pi\) |
0.174474 | + | 0.984662i | \(0.444177\pi\) | |||||||
\(912\) | −0.259799 | + | 0.792525i | −0.00860281 | + | 0.0262431i | ||||
\(913\) | −11.6632 | + | 22.8903i | −0.385995 | + | 0.757557i | ||||
\(914\) | −6.97317 | + | 21.4612i | −0.230652 | + | 0.709874i | ||||
\(915\) | −41.9998 | − | 32.0804i | −1.38847 | − | 1.06055i | ||||
\(916\) | 3.26071 | + | 10.0354i | 0.107737 | + | 0.331580i | ||||
\(917\) | 1.86129 | + | 0.294799i | 0.0614651 | + | 0.00973511i | ||||
\(918\) | 8.01723 | − | 24.0316i | 0.264608 | − | 0.793160i | ||||
\(919\) | 4.27526 | + | 5.88440i | 0.141028 | + | 0.194108i | 0.873688 | − | 0.486486i | \(-0.161722\pi\) |
−0.732660 | + | 0.680594i | \(0.761722\pi\) | |||||||
\(920\) | 1.96857 | − | 5.64547i | 0.0649019 | − | 0.186126i | ||||
\(921\) | 13.2043 | − | 25.7483i | 0.435096 | − | 0.848434i | ||||
\(922\) | −15.8045 | + | 2.50319i | −0.520494 | + | 0.0824382i | ||||
\(923\) | 8.18661 | + | 16.0671i | 0.269466 | + | 0.528856i | ||||
\(924\) | −0.295681 | − | 1.89897i | −0.00972720 | − | 0.0624717i | ||||
\(925\) | 4.27192 | − | 21.0966i | 0.140460 | − | 0.693652i | ||||
\(926\) | − | 6.19159i | − | 0.203468i | ||||||
\(927\) | 21.3422 | + | 21.5665i | 0.700969 | + | 0.708337i | ||||
\(928\) | −1.46845 | − | 9.27141i | −0.0482041 | − | 0.304349i | ||||
\(929\) | 5.66314 | + | 4.11451i | 0.185802 | + | 0.134993i | 0.676798 | − | 0.736169i | \(-0.263367\pi\) |
−0.490996 | + | 0.871162i | \(0.663367\pi\) | |||||||
\(930\) | 6.07816 | + | 6.37677i | 0.199311 | + | 0.209102i | ||||
\(931\) | −2.70875 | + | 1.96802i | −0.0887756 | + | 0.0644992i | ||||
\(932\) | 8.90175 | + | 8.90175i | 0.291586 | + | 0.291586i | ||||
\(933\) | −52.3114 | − | 0.136752i | −1.71260 | − | 0.00447705i | ||||
\(934\) | −22.0766 | + | 7.17313i | −0.722369 | + | 0.234712i | ||||
\(935\) | 50.4358 | − | 24.3560i | 1.64943 | − | 0.796525i | ||||
\(936\) | 4.45903 | + | 0.0233136i | 0.145748 | + | 0.000762030i | ||||
\(937\) | −35.4943 | − | 18.0852i | −1.15955 | − | 0.590819i | −0.235040 | − | 0.971986i | \(-0.575522\pi\) |
−0.924506 | + | 0.381167i | \(0.875522\pi\) | |||||||
\(938\) | −2.89144 | − | 1.47326i | −0.0944088 | − | 0.0481037i | ||||
\(939\) | 4.59420 | − | 28.5238i | 0.149926 | − | 0.930840i | ||||
\(940\) | 20.4420 | − | 9.87165i | 0.666744 | − | 0.321978i | ||||
\(941\) | 0.912873 | − | 0.296610i | 0.0297588 | − | 0.00966922i | −0.294100 | − | 0.955775i | \(-0.595020\pi\) |
0.323859 | + | 0.946106i | \(0.395020\pi\) | |||||||
\(942\) | −0.0742418 | + | 28.3996i | −0.00241893 | + | 0.925309i | ||||
\(943\) | −11.8393 | − | 11.8393i | −0.385542 | − | 0.385542i | ||||
\(944\) | −4.03518 | + | 2.93173i | −0.131334 | + | 0.0954196i | ||||
\(945\) | −2.20169 | − | 1.20404i | −0.0716209 | − | 0.0391674i | ||||
\(946\) | 16.0013 | + | 11.6256i | 0.520248 | + | 0.377982i | ||||
\(947\) | −5.95470 | − | 37.5965i | −0.193502 | − | 1.22172i | −0.872880 | − | 0.487935i | \(-0.837750\pi\) |
0.679378 | − | 0.733788i | \(-0.262250\pi\) | |||||||
\(948\) | −2.21770 | − | 3.06924i | −0.0720275 | − | 0.0996843i | ||||
\(949\) | − | 13.9495i | − | 0.452820i | ||||||
\(950\) | −0.477827 | + | 2.35972i | −0.0155028 | + | 0.0765594i | ||||
\(951\) | 18.5629 | − | 2.89034i | 0.601942 | − | 0.0937258i | ||||
\(952\) | −0.478043 | − | 0.938212i | −0.0154935 | − | 0.0304076i | ||||
\(953\) | −56.6214 | + | 8.96795i | −1.83415 | + | 0.290500i | −0.975161 | − | 0.221499i | \(-0.928905\pi\) |
−0.858986 | + | 0.511999i | \(0.828905\pi\) | |||||||
\(954\) | 7.24523 | − | 21.9081i | 0.234573 | − | 0.709302i | ||||
\(955\) | −3.63956 | + | 10.4376i | −0.117774 | + | 0.337751i | ||||
\(956\) | −6.90374 | − | 9.50218i | −0.223283 | − | 0.307322i | ||||
\(957\) | 67.4486 | + | 49.2742i | 2.18030 | + | 1.59281i | ||||
\(958\) | 22.1377 | + | 3.50627i | 0.715236 | + | 0.113282i | ||||
\(959\) | 0.188434 | + | 0.579941i | 0.00608486 | + | 0.0187273i | ||||
\(960\) | 2.35093 | − | 3.07785i | 0.0758759 | − | 0.0993371i | ||||
\(961\) | −7.98073 | + | 24.5622i | −0.257443 | + | 0.792328i | ||||
\(962\) | −2.90496 | + | 5.70131i | −0.0936598 | + | 0.183818i | ||||
\(963\) | −32.6942 | − | 5.35363i | −1.05356 | − | 0.172518i | ||||
\(964\) | 1.15675 | + | 0.375849i | 0.0372563 | + | 0.0121053i | ||||
\(965\) | 7.46815 | − | 1.01987i | 0.240408 | − | 0.0328309i | ||||
\(966\) | 0.892392 | − | 0.451762i | 0.0287122 | − | 0.0145352i | ||||
\(967\) | −6.91329 | + | 43.6488i | −0.222316 | + | 1.40365i | 0.583802 | + | 0.811896i | \(0.301565\pi\) |
−0.806118 | + | 0.591755i | \(0.798435\pi\) | |||||||
\(968\) | −10.8855 | + | 10.8855i | −0.349872 | + | 0.349872i | ||||
\(969\) | −2.86773 | − | 2.88277i | −0.0921249 | − | 0.0926078i | ||||
\(970\) | 0.481903 | − | 22.5618i | 0.0154730 | − | 0.724415i | ||||
\(971\) | −32.4405 | + | 44.6505i | −1.04107 | + | 1.43290i | −0.144760 | + | 0.989467i | \(0.546241\pi\) |
−0.896306 | + | 0.443437i | \(0.853759\pi\) | |||||||
\(972\) | 12.4905 | + | 9.32672i | 0.400633 | + | 0.299155i | ||||
\(973\) | 1.33951 | − | 0.682516i | 0.0429428 | − | 0.0218804i | ||||
\(974\) | −21.2093 | −0.679589 | ||||||||
\(975\) | 12.7920 | − | 1.43553i | 0.409672 | − | 0.0459738i | ||||
\(976\) | 13.6458 | 0.436793 | ||||||||
\(977\) | −29.4915 | + | 15.0267i | −0.943516 | + | 0.480746i | −0.856892 | − | 0.515496i | \(-0.827608\pi\) |
−0.0866240 | + | 0.996241i | \(0.527608\pi\) | |||||||
\(978\) | 2.15433 | + | 6.68980i | 0.0688878 | + | 0.213916i | ||||
\(979\) | −33.0604 | + | 45.5037i | −1.05661 | + | 1.45430i | ||||
\(980\) | 14.8864 | − | 4.48778i | 0.475529 | − | 0.143357i | ||||
\(981\) | −10.8907 | + | 14.8261i | −0.347712 | + | 0.473360i | ||||
\(982\) | 22.0207 | − | 22.0207i | 0.702708 | − | 0.702708i | ||||
\(983\) | 3.05030 | − | 19.2588i | 0.0972894 | − | 0.614261i | −0.890077 | − | 0.455809i | \(-0.849350\pi\) |
0.987367 | − | 0.158451i | \(-0.0506501\pi\) | |||||||
\(984\) | −4.89871 | − | 9.67671i | −0.156165 | − | 0.308482i | ||||
\(985\) | −14.4451 | − | 7.75305i | −0.460258 | − | 0.247033i | ||||
\(986\) | 43.5259 | + | 14.1424i | 1.38615 | + | 0.450386i | ||||
\(987\) | 3.60875 | + | 1.18299i | 0.114868 | + | 0.0376550i | ||||
\(988\) | 0.324929 | − | 0.637709i | 0.0103374 | − | 0.0202882i | ||||
\(989\) | −3.18096 | + | 9.78998i | −0.101149 | + | 0.311303i | ||||
\(990\) | 4.48459 | + | 34.1707i | 0.142530 | + | 1.08602i | ||||
\(991\) | 10.9360 | + | 33.6576i | 0.347394 | + | 1.06917i | 0.960290 | + | 0.279005i | \(0.0900046\pi\) |
−0.612896 | + | 0.790164i | \(0.709995\pi\) | |||||||
\(992\) | −2.24660 | − | 0.355826i | −0.0713295 | − | 0.0112975i | ||||
\(993\) | 9.84420 | − | 13.4752i | 0.312396 | − | 0.427621i | ||||
\(994\) | 1.54012 | + | 2.11980i | 0.0488497 | + | 0.0672359i | ||||
\(995\) | −14.8529 | − | 11.2836i | −0.470869 | − | 0.357715i | ||||
\(996\) | −7.70683 | − | 3.95224i | −0.244200 | − | 0.125231i | ||||
\(997\) | 45.5136 | − | 7.20864i | 1.44143 | − | 0.228300i | 0.613750 | − | 0.789501i | \(-0.289660\pi\) |
0.827680 | + | 0.561201i | \(0.189660\pi\) | |||||||
\(998\) | −0.570481 | − | 1.11963i | −0.0180583 | − | 0.0354414i | ||||
\(999\) | −20.0101 | + | 9.99878i | −0.633093 | + | 0.316347i |
(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.53.1 | yes | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.53.10 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.c.257.4 | 80 | |||
5.3 | odd | 4 | 750.2.l.a.257.7 | 80 | |||
5.4 | even | 2 | 750.2.l.b.743.10 | 80 | |||
15.2 | even | 4 | 750.2.l.c.257.8 | 80 | |||
15.8 | even | 4 | 750.2.l.a.257.3 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.743.1 | 80 | |||
25.6 | even | 5 | 750.2.l.c.143.8 | 80 | |||
25.8 | odd | 20 | 750.2.l.b.107.1 | 80 | |||
25.17 | odd | 20 | inner | 150.2.l.a.17.10 | yes | 80 | |
25.19 | even | 10 | 750.2.l.a.143.3 | 80 | |||
75.8 | even | 20 | 750.2.l.b.107.10 | 80 | |||
75.17 | even | 20 | inner | 150.2.l.a.17.1 | ✓ | 80 | |
75.44 | odd | 10 | 750.2.l.a.143.7 | 80 | |||
75.56 | odd | 10 | 750.2.l.c.143.4 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.17.1 | ✓ | 80 | 75.17 | even | 20 | inner | |
150.2.l.a.17.10 | yes | 80 | 25.17 | odd | 20 | inner | |
150.2.l.a.53.1 | yes | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.53.10 | yes | 80 | 3.2 | odd | 2 | inner | |
750.2.l.a.143.3 | 80 | 25.19 | even | 10 | |||
750.2.l.a.143.7 | 80 | 75.44 | odd | 10 | |||
750.2.l.a.257.3 | 80 | 15.8 | even | 4 | |||
750.2.l.a.257.7 | 80 | 5.3 | odd | 4 | |||
750.2.l.b.107.1 | 80 | 25.8 | odd | 20 | |||
750.2.l.b.107.10 | 80 | 75.8 | even | 20 | |||
750.2.l.b.743.1 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.743.10 | 80 | 5.4 | even | 2 | |||
750.2.l.c.143.4 | 80 | 75.56 | odd | 10 | |||
750.2.l.c.143.8 | 80 | 25.6 | even | 5 | |||
750.2.l.c.257.4 | 80 | 5.2 | odd | 4 | |||
750.2.l.c.257.8 | 80 | 15.2 | even | 4 |