Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(137,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.137");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.ch (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 305.33 | ||
Character | \(\chi\) | \(=\) | 546.305 |
Dual form | 546.2.ch.a.401.33 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.958098 | − | 1.44293i | 0.553158 | − | 0.833076i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −0.421014 | + | 1.57124i | −0.188283 | + | 0.702682i | 0.805621 | + | 0.592432i | \(0.201832\pi\) |
−0.993904 | + | 0.110250i | \(0.964835\pi\) | |||||||
\(6\) | 1.69778 | − | 0.342829i | 0.693117 | − | 0.139959i | ||||
\(7\) | −1.51065 | + | 2.17208i | −0.570971 | + | 0.820970i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −1.16410 | − | 2.76494i | −0.388033 | − | 0.921646i | ||||
\(10\) | −1.40874 | + | 0.813336i | −0.445482 | + | 0.257199i | ||||
\(11\) | 4.90284 | + | 1.31371i | 1.47826 | + | 0.396099i | 0.905755 | − | 0.423802i | \(-0.139305\pi\) |
0.572506 | + | 0.819901i | \(0.305971\pi\) | |||||||
\(12\) | 1.44293 | + | 0.958098i | 0.416538 | + | 0.276579i | ||||
\(13\) | 3.58027 | + | 0.426188i | 0.992989 | + | 0.118203i | ||||
\(14\) | −2.60408 | + | 0.467704i | −0.695971 | + | 0.124999i | ||||
\(15\) | 1.86382 | + | 2.11290i | 0.481238 | + | 0.545548i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0.853434 | 0.206988 | 0.103494 | − | 0.994630i | \(-0.466998\pi\) | ||||
0.103494 | + | 0.994630i | \(0.466998\pi\) | |||||||
\(18\) | 1.13196 | − | 2.77825i | 0.266806 | − | 0.654839i | ||||
\(19\) | 1.44975 | + | 5.41052i | 0.332594 | + | 1.24126i | 0.906454 | + | 0.422305i | \(0.138779\pi\) |
−0.573859 | + | 0.818954i | \(0.694554\pi\) | |||||||
\(20\) | −1.57124 | − | 0.421014i | −0.351341 | − | 0.0941415i | ||||
\(21\) | 1.68682 | + | 4.26083i | 0.368093 | + | 0.929789i | ||||
\(22\) | 2.53789 | + | 4.39576i | 0.541081 | + | 0.937180i | ||||
\(23\) | −2.49659 | −0.520575 | −0.260287 | − | 0.965531i | \(-0.583817\pi\) | ||||
−0.260287 | + | 0.965531i | \(0.583817\pi\) | |||||||
\(24\) | 0.342829 | + | 1.69778i | 0.0699796 | + | 0.346559i | ||||
\(25\) | 2.03857 | + | 1.17697i | 0.407714 | + | 0.235394i | ||||
\(26\) | 2.23028 | + | 2.83300i | 0.437393 | + | 0.555596i | ||||
\(27\) | −5.10493 | − | 0.969366i | −0.982445 | − | 0.186555i | ||||
\(28\) | −2.17208 | − | 1.51065i | −0.410485 | − | 0.285486i | ||||
\(29\) | −4.98976 | − | 2.88084i | −0.926576 | − | 0.534959i | −0.0408488 | − | 0.999165i | \(-0.513006\pi\) |
−0.885727 | + | 0.464207i | \(0.846340\pi\) | |||||||
\(30\) | −0.176122 | + | 2.81197i | −0.0321554 | + | 0.513393i | ||||
\(31\) | −1.47908 | − | 5.51999i | −0.265650 | − | 0.991420i | −0.961851 | − | 0.273573i | \(-0.911794\pi\) |
0.696201 | − | 0.717847i | \(-0.254872\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 6.59299 | − | 5.81579i | 1.14769 | − | 1.01240i | ||||
\(34\) | 0.603469 | + | 0.603469i | 0.103494 | + | 0.103494i | ||||
\(35\) | −2.77687 | − | 3.28807i | −0.469376 | − | 0.555786i | ||||
\(36\) | 2.76494 | − | 1.16410i | 0.460823 | − | 0.194016i | ||||
\(37\) | 3.88598 | + | 3.88598i | 0.638851 | + | 0.638851i | 0.950272 | − | 0.311421i | \(-0.100805\pi\) |
−0.311421 | + | 0.950272i | \(0.600805\pi\) | |||||||
\(38\) | −2.80069 | + | 4.85094i | −0.454332 | + | 0.786927i | ||||
\(39\) | 4.04521 | − | 4.75776i | 0.647752 | − | 0.761851i | ||||
\(40\) | −0.813336 | − | 1.40874i | −0.128600 | − | 0.222741i | ||||
\(41\) | −2.07420 | + | 0.555780i | −0.323935 | + | 0.0867982i | −0.417122 | − | 0.908850i | \(-0.636961\pi\) |
0.0931868 | + | 0.995649i | \(0.470295\pi\) | |||||||
\(42\) | −1.82010 | + | 4.20562i | −0.280848 | + | 0.648941i | ||||
\(43\) | 11.2486 | − | 6.49440i | 1.71540 | − | 0.990386i | 0.788534 | − | 0.614991i | \(-0.210841\pi\) |
0.926865 | − | 0.375395i | \(-0.122493\pi\) | |||||||
\(44\) | −1.31371 | + | 4.90284i | −0.198049 | + | 0.739130i | ||||
\(45\) | 4.83449 | − | 0.665007i | 0.720684 | − | 0.0991334i | ||||
\(46\) | −1.76535 | − | 1.76535i | −0.260287 | − | 0.260287i | ||||
\(47\) | −7.23248 | − | 1.93794i | −1.05497 | − | 0.282677i | −0.310664 | − | 0.950520i | \(-0.600551\pi\) |
−0.744303 | + | 0.667843i | \(0.767218\pi\) | |||||||
\(48\) | −0.958098 | + | 1.44293i | −0.138289 | + | 0.208269i | ||||
\(49\) | −2.43588 | − | 6.56251i | −0.347983 | − | 0.937501i | ||||
\(50\) | 0.609244 | + | 2.27373i | 0.0861601 | + | 0.321554i | ||||
\(51\) | 0.817673 | − | 1.23145i | 0.114497 | − | 0.172437i | ||||
\(52\) | −0.426188 | + | 3.58027i | −0.0591016 | + | 0.496495i | ||||
\(53\) | −9.96523 | − | 5.75343i | −1.36883 | − | 0.790294i | −0.378051 | − | 0.925785i | \(-0.623406\pi\) |
−0.990779 | + | 0.135490i | \(0.956739\pi\) | |||||||
\(54\) | −2.92429 | − | 4.29518i | −0.397945 | − | 0.584500i | ||||
\(55\) | −4.12832 | + | 7.15047i | −0.556663 | + | 0.964169i | ||||
\(56\) | −0.467704 | − | 2.60408i | −0.0624996 | − | 0.347985i | ||||
\(57\) | 9.19601 | + | 3.09193i | 1.21804 | + | 0.409536i | ||||
\(58\) | −1.49123 | − | 5.56536i | −0.195809 | − | 0.730767i | ||||
\(59\) | 0.583751 | − | 0.583751i | 0.0759979 | − | 0.0759979i | −0.668086 | − | 0.744084i | \(-0.732886\pi\) |
0.744084 | + | 0.668086i | \(0.232886\pi\) | |||||||
\(60\) | −2.11290 | + | 1.86382i | −0.272774 | + | 0.240619i | ||||
\(61\) | −2.92693 | + | 5.06959i | −0.374755 | + | 0.649095i | −0.990290 | − | 0.139014i | \(-0.955607\pi\) |
0.615535 | + | 0.788109i | \(0.288940\pi\) | |||||||
\(62\) | 2.85736 | − | 4.94909i | 0.362885 | − | 0.628535i | ||||
\(63\) | 7.76421 | + | 1.64833i | 0.978199 | + | 0.207670i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −2.17699 | + | 5.44606i | −0.270022 | + | 0.675500i | ||||
\(66\) | 8.77433 | + | 0.549563i | 1.08005 | + | 0.0676465i | ||||
\(67\) | 11.8441 | + | 3.17363i | 1.44699 | + | 0.387720i | 0.894976 | − | 0.446114i | \(-0.147192\pi\) |
0.552015 | + | 0.833834i | \(0.313859\pi\) | |||||||
\(68\) | 0.853434i | 0.103494i | ||||||||
\(69\) | −2.39197 | + | 3.60240i | −0.287960 | + | 0.433678i | ||||
\(70\) | 0.361477 | − | 4.28856i | 0.0432048 | − | 0.512581i | ||||
\(71\) | 3.90925 | − | 14.5895i | 0.463942 | − | 1.73146i | −0.196431 | − | 0.980518i | \(-0.562935\pi\) |
0.660373 | − | 0.750938i | \(-0.270398\pi\) | |||||||
\(72\) | 2.77825 | + | 1.13196i | 0.327420 | + | 0.133403i | ||||
\(73\) | −10.5632 | + | 2.83040i | −1.23633 | + | 0.331273i | −0.817040 | − | 0.576580i | \(-0.804387\pi\) |
−0.419288 | + | 0.907853i | \(0.637720\pi\) | |||||||
\(74\) | 5.49560i | 0.638851i | ||||||||
\(75\) | 3.65143 | − | 1.81386i | 0.421631 | − | 0.209447i | ||||
\(76\) | −5.41052 | + | 1.44975i | −0.620630 | + | 0.166297i | ||||
\(77\) | −10.2600 | + | 8.66481i | −1.16923 | + | 0.987447i | ||||
\(78\) | 6.22464 | − | 0.503847i | 0.704802 | − | 0.0570494i | ||||
\(79\) | −6.03981 | − | 10.4613i | −0.679532 | − | 1.17698i | −0.975122 | − | 0.221669i | \(-0.928850\pi\) |
0.295590 | − | 0.955315i | \(-0.404484\pi\) | |||||||
\(80\) | 0.421014 | − | 1.57124i | 0.0470708 | − | 0.175670i | ||||
\(81\) | −6.28975 | + | 6.43732i | −0.698861 | + | 0.715257i | ||||
\(82\) | −1.85968 | − | 1.07368i | −0.205367 | − | 0.118569i | ||||
\(83\) | −3.18424 | − | 3.18424i | −0.349516 | − | 0.349516i | 0.510413 | − | 0.859929i | \(-0.329492\pi\) |
−0.859929 | + | 0.510413i | \(0.829492\pi\) | |||||||
\(84\) | −4.26083 | + | 1.68682i | −0.464894 | + | 0.184047i | ||||
\(85\) | −0.359308 | + | 1.34095i | −0.0389724 | + | 0.145447i | ||||
\(86\) | 12.5462 | + | 3.36175i | 1.35289 | + | 0.362506i | ||||
\(87\) | −8.93753 | + | 4.43976i | −0.958204 | + | 0.475992i | ||||
\(88\) | −4.39576 | + | 2.53789i | −0.468590 | + | 0.270541i | ||||
\(89\) | 5.02101 | − | 5.02101i | 0.532226 | − | 0.532226i | −0.389008 | − | 0.921234i | \(-0.627182\pi\) |
0.921234 | + | 0.389008i | \(0.127182\pi\) | |||||||
\(90\) | 3.88873 | + | 2.94827i | 0.409909 | + | 0.310775i | ||||
\(91\) | −6.33425 | + | 7.13283i | −0.664010 | + | 0.747724i | ||||
\(92\) | − | 2.49659i | − | 0.260287i | ||||||
\(93\) | −9.38207 | − | 3.15449i | −0.972875 | − | 0.327105i | ||||
\(94\) | −3.74381 | − | 6.48447i | −0.386144 | − | 0.668822i | ||||
\(95\) | −9.11162 | −0.934832 | ||||||||
\(96\) | −1.69778 | + | 0.342829i | −0.173279 | + | 0.0349898i | ||||
\(97\) | −14.9348 | − | 4.00176i | −1.51640 | − | 0.406317i | −0.597843 | − | 0.801613i | \(-0.703975\pi\) |
−0.918554 | + | 0.395296i | \(0.870642\pi\) | |||||||
\(98\) | 2.91796 | − | 6.36282i | 0.294759 | − | 0.642742i | ||||
\(99\) | −2.07506 | − | 15.0853i | −0.208551 | − | 1.51613i | ||||
\(100\) | −1.17697 | + | 2.03857i | −0.117697 | + | 0.203857i | ||||
\(101\) | 1.06029 | + | 1.83647i | 0.105502 | + | 0.182736i | 0.913943 | − | 0.405842i | \(-0.133022\pi\) |
−0.808441 | + | 0.588577i | \(0.799688\pi\) | |||||||
\(102\) | 1.44895 | − | 0.292582i | 0.143467 | − | 0.0289699i | ||||
\(103\) | 2.43480 | − | 1.40573i | 0.239908 | − | 0.138511i | −0.375226 | − | 0.926933i | \(-0.622435\pi\) |
0.615135 | + | 0.788422i | \(0.289102\pi\) | |||||||
\(104\) | −2.83300 | + | 2.23028i | −0.277798 | + | 0.218697i | ||||
\(105\) | −7.40498 | + | 0.856533i | −0.722652 | + | 0.0835891i | ||||
\(106\) | −2.97819 | − | 11.1148i | −0.289268 | − | 1.07956i | ||||
\(107\) | 12.1409i | 1.17370i | 0.809694 | + | 0.586852i | \(0.199633\pi\) | ||||
−0.809694 | + | 0.586852i | \(0.800367\pi\) | |||||||
\(108\) | 0.969366 | − | 5.10493i | 0.0932773 | − | 0.491222i | ||||
\(109\) | 1.87488 | + | 6.99713i | 0.179581 | + | 0.670204i | 0.995726 | + | 0.0923571i | \(0.0294401\pi\) |
−0.816145 | + | 0.577847i | \(0.803893\pi\) | |||||||
\(110\) | −7.97531 | + | 2.13698i | −0.760416 | + | 0.203753i | ||||
\(111\) | 9.33034 | − | 1.88405i | 0.885597 | − | 0.178826i | ||||
\(112\) | 1.51065 | − | 2.17208i | 0.142743 | − | 0.205242i | ||||
\(113\) | 9.65602 | − | 5.57491i | 0.908362 | − | 0.524443i | 0.0284582 | − | 0.999595i | \(-0.490940\pi\) |
0.879904 | + | 0.475152i | \(0.157607\pi\) | |||||||
\(114\) | 4.31624 | + | 8.68888i | 0.404253 | + | 0.813788i | ||||
\(115\) | 1.05110 | − | 3.92275i | 0.0980154 | − | 0.365798i | ||||
\(116\) | 2.88084 | − | 4.98976i | 0.267479 | − | 0.463288i | ||||
\(117\) | −2.98941 | − | 10.3954i | −0.276371 | − | 0.961051i | ||||
\(118\) | 0.825548 | 0.0759979 | ||||||||
\(119\) | −1.28924 | + | 1.85373i | −0.118184 | + | 0.169931i | ||||
\(120\) | −2.81197 | − | 0.176122i | −0.256696 | − | 0.0160777i | ||||
\(121\) | 12.7857 | + | 7.38182i | 1.16234 | + | 0.671075i | ||||
\(122\) | −5.65440 | + | 1.51509i | −0.511925 | + | 0.137170i | ||||
\(123\) | −1.18533 | + | 3.52542i | −0.106878 | + | 0.317876i | ||||
\(124\) | 5.51999 | − | 1.47908i | 0.495710 | − | 0.132825i | ||||
\(125\) | −8.45873 | + | 8.45873i | −0.756571 | + | 0.756571i | ||||
\(126\) | 4.32458 | + | 6.65567i | 0.385264 | + | 0.592935i | ||||
\(127\) | 6.85083 | + | 3.95533i | 0.607913 | + | 0.350979i | 0.772148 | − | 0.635442i | \(-0.219182\pi\) |
−0.164235 | + | 0.986421i | \(0.552516\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 1.40631 | − | 22.4532i | 0.123819 | − | 1.97690i | ||||
\(130\) | −5.39031 | + | 2.31158i | −0.472761 | + | 0.202739i | ||||
\(131\) | 6.60251 | − | 3.81196i | 0.576864 | − | 0.333053i | −0.183022 | − | 0.983109i | \(-0.558588\pi\) |
0.759886 | + | 0.650056i | \(0.225255\pi\) | |||||||
\(132\) | 5.81579 | + | 6.59299i | 0.506200 | + | 0.573846i | ||||
\(133\) | −13.9422 | − | 5.02443i | −1.20894 | − | 0.435674i | ||||
\(134\) | 6.13098 | + | 10.6192i | 0.529636 | + | 0.917356i | ||||
\(135\) | 3.67236 | − | 7.61298i | 0.316066 | − | 0.655221i | ||||
\(136\) | −0.603469 | + | 0.603469i | −0.0517471 | + | 0.0517471i | ||||
\(137\) | 5.11722 | − | 5.11722i | 0.437194 | − | 0.437194i | −0.453873 | − | 0.891067i | \(-0.649958\pi\) |
0.891067 | + | 0.453873i | \(0.149958\pi\) | |||||||
\(138\) | −4.23867 | + | 0.855902i | −0.360819 | + | 0.0728592i | ||||
\(139\) | 2.22956 | + | 3.86172i | 0.189109 | + | 0.327547i | 0.944953 | − | 0.327205i | \(-0.106107\pi\) |
−0.755844 | + | 0.654751i | \(0.772773\pi\) | |||||||
\(140\) | 3.28807 | − | 2.77687i | 0.277893 | − | 0.234688i | ||||
\(141\) | −9.72573 | + | 8.57924i | −0.819055 | + | 0.722502i | ||||
\(142\) | 13.0806 | − | 7.55208i | 1.09770 | − | 0.633757i | ||||
\(143\) | 16.9936 | + | 6.79298i | 1.42108 | + | 0.568057i | ||||
\(144\) | 1.16410 | + | 2.76494i | 0.0970082 | + | 0.230411i | ||||
\(145\) | 6.62726 | − | 6.62726i | 0.550364 | − | 0.550364i | ||||
\(146\) | −9.47070 | − | 5.46791i | −0.783801 | − | 0.452527i | ||||
\(147\) | −11.8031 | − | 2.77271i | −0.973499 | − | 0.228689i | ||||
\(148\) | −3.88598 | + | 3.88598i | −0.319425 | + | 0.319425i | ||||
\(149\) | 11.8620 | − | 3.17841i | 0.971772 | − | 0.260386i | 0.262196 | − | 0.965015i | \(-0.415553\pi\) |
0.709576 | + | 0.704629i | \(0.248887\pi\) | |||||||
\(150\) | 3.86455 | + | 1.29936i | 0.315539 | + | 0.106092i | ||||
\(151\) | −0.0546937 | + | 0.0146551i | −0.00445091 | + | 0.00119262i | −0.261044 | − | 0.965327i | \(-0.584067\pi\) |
0.256593 | + | 0.966520i | \(0.417400\pi\) | |||||||
\(152\) | −4.85094 | − | 2.80069i | −0.393463 | − | 0.227166i | ||||
\(153\) | −0.993481 | − | 2.35969i | −0.0803182 | − | 0.190770i | ||||
\(154\) | −13.3818 | − | 1.12794i | −1.07834 | − | 0.0908917i | ||||
\(155\) | 9.29597 | 0.746671 | ||||||||
\(156\) | 4.75776 | + | 4.04521i | 0.380926 | + | 0.323876i | ||||
\(157\) | −2.03262 | + | 3.52061i | −0.162221 | + | 0.280975i | −0.935665 | − | 0.352890i | \(-0.885199\pi\) |
0.773444 | + | 0.633865i | \(0.218532\pi\) | |||||||
\(158\) | 3.12644 | − | 11.6680i | 0.248726 | − | 0.928258i | ||||
\(159\) | −17.8495 | + | 8.86679i | −1.41555 | + | 0.703183i | ||||
\(160\) | 1.40874 | − | 0.813336i | 0.111371 | − | 0.0642999i | ||||
\(161\) | 3.77147 | − | 5.42279i | 0.297233 | − | 0.427376i | ||||
\(162\) | −8.99940 | + | 0.104345i | −0.707059 | + | 0.00819809i | ||||
\(163\) | 9.83491 | − | 2.63526i | 0.770330 | − | 0.206409i | 0.147813 | − | 0.989015i | \(-0.452777\pi\) |
0.622517 | + | 0.782606i | \(0.286110\pi\) | |||||||
\(164\) | −0.555780 | − | 2.07420i | −0.0433991 | − | 0.161968i | ||||
\(165\) | 6.36229 | + | 12.8077i | 0.495304 | + | 0.997080i | ||||
\(166\) | − | 4.50320i | − | 0.349516i | ||||||
\(167\) | −2.89910 | − | 10.8196i | −0.224339 | − | 0.837245i | −0.982668 | − | 0.185373i | \(-0.940651\pi\) |
0.758329 | − | 0.651872i | \(-0.226016\pi\) | |||||||
\(168\) | −4.20562 | − | 1.82010i | −0.324471 | − | 0.140424i | ||||
\(169\) | 12.6367 | + | 3.05174i | 0.972056 | + | 0.234749i | ||||
\(170\) | −1.20227 | + | 0.694129i | −0.0922096 | + | 0.0532373i | ||||
\(171\) | 13.2721 | − | 10.3068i | 1.01494 | − | 0.788183i | ||||
\(172\) | 6.49440 | + | 11.2486i | 0.495193 | + | 0.857699i | ||||
\(173\) | −5.97152 | + | 10.3430i | −0.454007 | + | 0.786362i | −0.998630 | − | 0.0523180i | \(-0.983339\pi\) |
0.544624 | + | 0.838680i | \(0.316672\pi\) | |||||||
\(174\) | −9.45917 | − | 3.18041i | −0.717098 | − | 0.241106i | ||||
\(175\) | −5.63604 | + | 2.64996i | −0.426044 | + | 0.200318i | ||||
\(176\) | −4.90284 | − | 1.31371i | −0.369565 | − | 0.0990247i | ||||
\(177\) | −0.283022 | − | 1.40160i | −0.0212732 | − | 0.105351i | ||||
\(178\) | 7.10078 | 0.532226 | ||||||||
\(179\) | −8.54897 | − | 14.8072i | −0.638980 | − | 1.10675i | −0.985657 | − | 0.168761i | \(-0.946023\pi\) |
0.346677 | − | 0.937985i | \(-0.387310\pi\) | |||||||
\(180\) | 0.665007 | + | 4.83449i | 0.0495667 | + | 0.360342i | ||||
\(181\) | − | 10.3755i | − | 0.771203i | −0.922665 | − | 0.385602i | \(-0.873994\pi\) | ||
0.922665 | − | 0.385602i | \(-0.126006\pi\) | |||||||
\(182\) | −9.52266 | + | 0.564681i | −0.705867 | + | 0.0418569i | ||||
\(183\) | 4.51079 | + | 9.08053i | 0.333447 | + | 0.671252i | ||||
\(184\) | 1.76535 | − | 1.76535i | 0.130144 | − | 0.130144i | ||||
\(185\) | −7.74187 | + | 4.46977i | −0.569194 | + | 0.328624i | ||||
\(186\) | −4.40357 | − | 8.86468i | −0.322885 | − | 0.649990i | ||||
\(187\) | 4.18425 | + | 1.12117i | 0.305983 | + | 0.0819878i | ||||
\(188\) | 1.93794 | − | 7.23248i | 0.141339 | − | 0.527483i | ||||
\(189\) | 9.81730 | − | 9.62396i | 0.714104 | − | 0.700040i | ||||
\(190\) | −6.44289 | − | 6.44289i | −0.467416 | − | 0.467416i | ||||
\(191\) | −9.07557 | − | 5.23979i | −0.656685 | − | 0.379138i | 0.134327 | − | 0.990937i | \(-0.457113\pi\) |
−0.791013 | + | 0.611799i | \(0.790446\pi\) | |||||||
\(192\) | −1.44293 | − | 0.958098i | −0.104135 | − | 0.0691447i | ||||
\(193\) | 0.790055 | − | 2.94853i | 0.0568694 | − | 0.212240i | −0.931644 | − | 0.363372i | \(-0.881625\pi\) |
0.988514 | + | 0.151133i | \(0.0482920\pi\) | |||||||
\(194\) | −7.73081 | − | 13.3902i | −0.555040 | − | 0.961357i | ||||
\(195\) | 5.77251 | + | 8.35910i | 0.413378 | + | 0.598607i | ||||
\(196\) | 6.56251 | − | 2.43588i | 0.468750 | − | 0.173992i | ||||
\(197\) | −21.4008 | + | 5.73433i | −1.52474 | + | 0.408554i | −0.921301 | − | 0.388851i | \(-0.872872\pi\) |
−0.603444 | + | 0.797405i | \(0.706205\pi\) | |||||||
\(198\) | 9.19965 | − | 12.1342i | 0.653790 | − | 0.862341i | ||||
\(199\) | − | 4.95816i | − | 0.351475i | −0.984437 | − | 0.175737i | \(-0.943769\pi\) | ||
0.984437 | − | 0.175737i | \(-0.0562310\pi\) | |||||||
\(200\) | −2.27373 | + | 0.609244i | −0.160777 | + | 0.0430801i | ||||
\(201\) | 15.9272 | − | 14.0496i | 1.12342 | − | 0.990984i | ||||
\(202\) | −0.548845 | + | 2.04832i | −0.0386166 | + | 0.144119i | ||||
\(203\) | 13.7952 | − | 6.48624i | 0.968233 | − | 0.455245i | ||||
\(204\) | 1.23145 | + | 0.817673i | 0.0862185 | + | 0.0572486i | ||||
\(205\) | − | 3.49306i | − | 0.243966i | ||||||
\(206\) | 2.71567 | + | 0.727662i | 0.189210 | + | 0.0506986i | ||||
\(207\) | 2.90627 | + | 6.90291i | 0.202000 | + | 0.479785i | ||||
\(208\) | −3.58027 | − | 0.426188i | −0.248247 | − | 0.0295508i | ||||
\(209\) | 28.4315i | 1.96664i | ||||||||
\(210\) | −5.84177 | − | 4.63045i | −0.403120 | − | 0.319531i | ||||
\(211\) | −2.66289 | + | 4.61226i | −0.183321 | + | 0.317521i | −0.943009 | − | 0.332766i | \(-0.892018\pi\) |
0.759689 | + | 0.650287i | \(0.225351\pi\) | |||||||
\(212\) | 5.75343 | − | 9.96523i | 0.395147 | − | 0.684415i | ||||
\(213\) | −17.3062 | − | 19.6189i | −1.18580 | − | 1.34427i | ||||
\(214\) | −8.58491 | + | 8.58491i | −0.586852 | + | 0.586852i | ||||
\(215\) | 5.46846 | + | 20.4086i | 0.372946 | + | 1.39185i | ||||
\(216\) | 4.29518 | − | 2.92429i | 0.292250 | − | 0.198973i | ||||
\(217\) | 14.2242 | + | 5.12609i | 0.965605 | + | 0.347982i | ||||
\(218\) | −3.62198 | + | 6.27346i | −0.245312 | + | 0.424892i | ||||
\(219\) | −6.03650 | + | 17.9538i | −0.407909 | + | 1.21320i | ||||
\(220\) | −7.15047 | − | 4.12832i | −0.482084 | − | 0.278331i | ||||
\(221\) | 3.05553 | + | 0.363723i | 0.205537 | + | 0.0244667i | ||||
\(222\) | 7.92977 | + | 5.26532i | 0.532212 | + | 0.353385i | ||||
\(223\) | 2.72617 | + | 10.1742i | 0.182558 | + | 0.681315i | 0.995140 | + | 0.0984687i | \(0.0313944\pi\) |
−0.812582 | + | 0.582846i | \(0.801939\pi\) | |||||||
\(224\) | 2.60408 | − | 0.467704i | 0.173993 | − | 0.0312498i | ||||
\(225\) | 0.881149 | − | 7.00662i | 0.0587433 | − | 0.467108i | ||||
\(226\) | 10.7699 | + | 2.88578i | 0.716403 | + | 0.191959i | ||||
\(227\) | 2.85759 | + | 2.85759i | 0.189665 | + | 0.189665i | 0.795551 | − | 0.605886i | \(-0.207181\pi\) |
−0.605886 | + | 0.795551i | \(0.707181\pi\) | |||||||
\(228\) | −3.09193 | + | 9.19601i | −0.204768 | + | 0.609020i | ||||
\(229\) | 1.58519 | − | 5.91603i | 0.104753 | − | 0.390942i | −0.893564 | − | 0.448935i | \(-0.851803\pi\) |
0.998317 | + | 0.0579930i | \(0.0184701\pi\) | |||||||
\(230\) | 3.51704 | − | 2.03056i | 0.231907 | − | 0.133891i | ||||
\(231\) | 2.67268 | + | 23.1061i | 0.175850 | + | 1.52027i | ||||
\(232\) | 5.56536 | − | 1.49123i | 0.365384 | − | 0.0979043i | ||||
\(233\) | 6.28957 | + | 10.8939i | 0.412044 | + | 0.713681i | 0.995113 | − | 0.0987417i | \(-0.0314818\pi\) |
−0.583069 | + | 0.812422i | \(0.698148\pi\) | |||||||
\(234\) | 5.23680 | − | 9.46446i | 0.342340 | − | 0.618711i | ||||
\(235\) | 6.08995 | − | 10.5481i | 0.397264 | − | 0.688082i | ||||
\(236\) | 0.583751 | + | 0.583751i | 0.0379989 | + | 0.0379989i | ||||
\(237\) | −20.8816 | − | 1.30788i | −1.35641 | − | 0.0849558i | ||||
\(238\) | −2.22241 | + | 0.399155i | −0.144058 | + | 0.0258734i | ||||
\(239\) | 14.2838 | + | 14.2838i | 0.923944 | + | 0.923944i | 0.997305 | − | 0.0733617i | \(-0.0233727\pi\) |
−0.0733617 | + | 0.997305i | \(0.523373\pi\) | |||||||
\(240\) | −1.86382 | − | 2.11290i | −0.120309 | − | 0.136387i | ||||
\(241\) | −16.7231 | − | 16.7231i | −1.07723 | − | 1.07723i | −0.996757 | − | 0.0804706i | \(-0.974358\pi\) |
−0.0804706 | − | 0.996757i | \(-0.525642\pi\) | |||||||
\(242\) | 3.82111 | + | 14.2606i | 0.245630 | + | 0.916705i | ||||
\(243\) | 3.26241 | + | 15.2433i | 0.209284 | + | 0.977855i | ||||
\(244\) | −5.06959 | − | 2.92693i | −0.324548 | − | 0.187378i | ||||
\(245\) | 11.3368 | − | 1.06446i | 0.724284 | − | 0.0680060i | ||||
\(246\) | −3.33100 | + | 1.65469i | −0.212377 | + | 0.105499i | ||||
\(247\) | 2.88459 | + | 19.9890i | 0.183542 | + | 1.27187i | ||||
\(248\) | 4.94909 | + | 2.85736i | 0.314268 | + | 0.181442i | ||||
\(249\) | −7.64546 | + | 1.54383i | −0.484511 | + | 0.0978360i | ||||
\(250\) | −11.9624 | −0.756571 | ||||||||
\(251\) | 0.773364 | + | 1.33951i | 0.0488143 | + | 0.0845489i | 0.889400 | − | 0.457129i | \(-0.151122\pi\) |
−0.840586 | + | 0.541678i | \(0.817789\pi\) | |||||||
\(252\) | −1.64833 | + | 7.76421i | −0.103835 | + | 0.489099i | ||||
\(253\) | −12.2404 | − | 3.27979i | −0.769545 | − | 0.206199i | ||||
\(254\) | 2.04743 | + | 7.64111i | 0.128467 | + | 0.479446i | ||||
\(255\) | 1.59065 | + | 1.80322i | 0.0996105 | + | 0.112922i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.88973 | −0.429770 | −0.214885 | − | 0.976639i | \(-0.568938\pi\) | ||||
−0.214885 | + | 0.976639i | \(0.568938\pi\) | |||||||
\(258\) | 16.8713 | − | 14.8824i | 1.05036 | − | 0.926540i | ||||
\(259\) | −14.3110 | + | 2.57032i | −0.889243 | + | 0.159712i | ||||
\(260\) | −5.44606 | − | 2.17699i | −0.337750 | − | 0.135011i | ||||
\(261\) | −2.15677 | + | 17.1500i | −0.133501 | + | 1.06156i | ||||
\(262\) | 7.36415 | + | 1.97322i | 0.454959 | + | 0.121906i | ||||
\(263\) | −4.57214 | + | 2.63972i | −0.281930 | + | 0.162772i | −0.634297 | − | 0.773090i | \(-0.718710\pi\) |
0.352367 | + | 0.935862i | \(0.385377\pi\) | |||||||
\(264\) | −0.549563 | + | 8.77433i | −0.0338233 | + | 0.540023i | ||||
\(265\) | 13.2355 | − | 13.2355i | 0.813053 | − | 0.813053i | ||||
\(266\) | −6.30578 | − | 13.4114i | −0.386632 | − | 0.822306i | ||||
\(267\) | −2.43435 | − | 12.0556i | −0.148980 | − | 0.737790i | ||||
\(268\) | −3.17363 | + | 11.8441i | −0.193860 | + | 0.723496i | ||||
\(269\) | − | 19.0496i | − | 1.16147i | −0.814091 | − | 0.580737i | \(-0.802764\pi\) | ||
0.814091 | − | 0.580737i | \(-0.197236\pi\) | |||||||
\(270\) | 7.97994 | − | 2.78644i | 0.485644 | − | 0.169577i | ||||
\(271\) | 0.181696 | + | 0.181696i | 0.0110372 | + | 0.0110372i | 0.712604 | − | 0.701567i | \(-0.247516\pi\) |
−0.701567 | + | 0.712604i | \(0.747516\pi\) | |||||||
\(272\) | −0.853434 | −0.0517471 | ||||||||
\(273\) | 4.22335 | + | 15.9738i | 0.255609 | + | 0.966780i | ||||
\(274\) | 7.23685 | 0.437194 | ||||||||
\(275\) | 8.44858 | + | 8.44858i | 0.509468 | + | 0.509468i | ||||
\(276\) | −3.60240 | − | 2.39197i | −0.216839 | − | 0.143980i | ||||
\(277\) | 1.40523i | 0.0844322i | 0.999109 | + | 0.0422161i | \(0.0134418\pi\) | ||||
−0.999109 | + | 0.0422161i | \(0.986558\pi\) | |||||||
\(278\) | −1.15411 | + | 4.30719i | −0.0692187 | + | 0.258328i | ||||
\(279\) | −13.5406 | + | 10.5154i | −0.810657 | + | 0.629539i | ||||
\(280\) | 4.28856 | + | 0.361477i | 0.256291 | + | 0.0216024i | ||||
\(281\) | −18.3020 | + | 18.3020i | −1.09180 | + | 1.09180i | −0.0964690 | + | 0.995336i | \(0.530755\pi\) |
−0.995336 | + | 0.0964690i | \(0.969245\pi\) | |||||||
\(282\) | −12.9436 | − | 0.810695i | −0.770778 | − | 0.0482762i | ||||
\(283\) | 20.8092 | − | 12.0142i | 1.23698 | − | 0.714169i | 0.268502 | − | 0.963279i | \(-0.413471\pi\) |
0.968475 | + | 0.249110i | \(0.0801381\pi\) | |||||||
\(284\) | 14.5895 | + | 3.90925i | 0.865728 | + | 0.231971i | ||||
\(285\) | −8.72982 | + | 13.1474i | −0.517110 | + | 0.778787i | ||||
\(286\) | 7.21294 | + | 16.8197i | 0.426510 | + | 0.994567i | ||||
\(287\) | 1.92619 | − | 5.34492i | 0.113699 | − | 0.315501i | ||||
\(288\) | −1.13196 | + | 2.77825i | −0.0667016 | + | 0.163710i | ||||
\(289\) | −16.2716 | −0.957156 | ||||||||
\(290\) | 9.37237 | 0.550364 | ||||||||
\(291\) | −20.0832 | + | 17.7158i | −1.17730 | + | 1.03852i | ||||
\(292\) | −2.83040 | − | 10.5632i | −0.165637 | − | 0.618164i | ||||
\(293\) | 12.2954 | + | 3.29454i | 0.718304 | + | 0.192469i | 0.599415 | − | 0.800439i | \(-0.295400\pi\) |
0.118889 | + | 0.992908i | \(0.462067\pi\) | |||||||
\(294\) | −6.38542 | − | 10.3066i | −0.372405 | − | 0.601094i | ||||
\(295\) | 0.671448 | + | 1.16298i | 0.0390932 | + | 0.0677114i | ||||
\(296\) | −5.49560 | −0.319425 | ||||||||
\(297\) | −23.7552 | − | 11.4590i | −1.37842 | − | 0.664921i | ||||
\(298\) | 10.6352 | + | 6.14022i | 0.616079 | + | 0.355693i | ||||
\(299\) | −8.93847 | − | 1.06402i | −0.516925 | − | 0.0615336i | ||||
\(300\) | 1.81386 | + | 3.65143i | 0.104724 | + | 0.210816i | ||||
\(301\) | −2.88635 | + | 34.2437i | −0.166367 | + | 1.97377i | ||||
\(302\) | −0.0490370 | − | 0.0283115i | −0.00282176 | − | 0.00162915i | ||||
\(303\) | 3.66576 | + | 0.229598i | 0.210592 | + | 0.0131900i | ||||
\(304\) | −1.44975 | − | 5.41052i | −0.0831486 | − | 0.310315i | ||||
\(305\) | −6.73329 | − | 6.73329i | −0.385547 | − | 0.385547i | ||||
\(306\) | 0.966057 | − | 2.37105i | 0.0552258 | − | 0.135544i | ||||
\(307\) | 6.70956 | + | 6.70956i | 0.382935 | + | 0.382935i | 0.872158 | − | 0.489223i | \(-0.162720\pi\) |
−0.489223 | + | 0.872158i | \(0.662720\pi\) | |||||||
\(308\) | −8.66481 | − | 10.2600i | −0.493723 | − | 0.584615i | ||||
\(309\) | 0.304402 | − | 4.86008i | 0.0173168 | − | 0.276481i | ||||
\(310\) | 6.57325 | + | 6.57325i | 0.373335 | + | 0.373335i | ||||
\(311\) | −6.66105 | + | 11.5373i | −0.377714 | + | 0.654219i | −0.990729 | − | 0.135852i | \(-0.956623\pi\) |
0.613016 | + | 0.790071i | \(0.289956\pi\) | |||||||
\(312\) | 0.503847 | + | 6.22464i | 0.0285247 | + | 0.352401i | ||||
\(313\) | 12.9713 | + | 22.4670i | 0.733183 | + | 1.26991i | 0.955516 | + | 0.294939i | \(0.0952994\pi\) |
−0.222333 | + | 0.974971i | \(0.571367\pi\) | |||||||
\(314\) | −3.92673 | + | 1.05216i | −0.221598 | + | 0.0593770i | ||||
\(315\) | −5.85877 | + | 11.5055i | −0.330104 | + | 0.648262i | ||||
\(316\) | 10.4613 | − | 6.03981i | 0.588492 | − | 0.339766i | ||||
\(317\) | 1.41750 | − | 5.29018i | 0.0796148 | − | 0.297126i | −0.914625 | − | 0.404303i | \(-0.867514\pi\) |
0.994240 | + | 0.107176i | \(0.0341809\pi\) | |||||||
\(318\) | −18.8912 | − | 6.35171i | −1.05937 | − | 0.356186i | ||||
\(319\) | −20.6794 | − | 20.6794i | −1.15782 | − | 1.15782i | ||||
\(320\) | 1.57124 | + | 0.421014i | 0.0878352 | + | 0.0235354i | ||||
\(321\) | 17.5185 | + | 11.6322i | 0.977785 | + | 0.649244i | ||||
\(322\) | 6.50132 | − | 1.16766i | 0.362305 | − | 0.0650714i | ||||
\(323\) | 1.23726 | + | 4.61753i | 0.0688431 | + | 0.256926i | ||||
\(324\) | −6.43732 | − | 6.28975i | −0.357629 | − | 0.349431i | ||||
\(325\) | 6.79703 | + | 5.08269i | 0.377031 | + | 0.281937i | ||||
\(326\) | 8.81774 | + | 5.09093i | 0.488370 | + | 0.281960i | ||||
\(327\) | 11.8927 | + | 3.99862i | 0.657667 | + | 0.221124i | ||||
\(328\) | 1.07368 | − | 1.85968i | 0.0592843 | − | 0.102683i | ||||
\(329\) | 15.1351 | − | 12.7820i | 0.834425 | − | 0.704695i | ||||
\(330\) | −4.55761 | + | 13.5552i | −0.250888 | + | 0.746192i | ||||
\(331\) | −0.627222 | − | 2.34082i | −0.0344752 | − | 0.128663i | 0.946544 | − | 0.322576i | \(-0.104549\pi\) |
−0.981019 | + | 0.193913i | \(0.937882\pi\) | |||||||
\(332\) | 3.18424 | − | 3.18424i | 0.174758 | − | 0.174758i | ||||
\(333\) | 6.22082 | − | 15.2681i | 0.340899 | − | 0.836689i | ||||
\(334\) | 5.60063 | − | 9.70058i | 0.306453 | − | 0.530792i | ||||
\(335\) | −9.97309 | + | 17.2739i | −0.544888 | + | 0.943774i | ||||
\(336\) | −1.68682 | − | 4.26083i | −0.0920233 | − | 0.232447i | ||||
\(337\) | 7.56541i | 0.412114i | 0.978540 | + | 0.206057i | \(0.0660633\pi\) | ||||
−0.978540 | + | 0.206057i | \(0.933937\pi\) | |||||||
\(338\) | 6.77761 | + | 11.0934i | 0.368653 | + | 0.603403i | ||||
\(339\) | 1.20721 | − | 19.2743i | 0.0655664 | − | 1.04683i | ||||
\(340\) | −1.34095 | − | 0.359308i | −0.0727234 | − | 0.0194862i | ||||
\(341\) | − | 29.0067i | − | 1.57080i | ||||||
\(342\) | 16.6728 | + | 2.09676i | 0.901563 | + | 0.113380i | ||||
\(343\) | 17.9341 | + | 4.62270i | 0.968348 | + | 0.249602i | ||||
\(344\) | −3.36175 | + | 12.5462i | −0.181253 | + | 0.676446i | ||||
\(345\) | −4.65320 | − | 5.27504i | −0.250520 | − | 0.283999i | ||||
\(346\) | −11.5361 | + | 3.09109i | −0.620184 | + | 0.166178i | ||||
\(347\) | − | 22.8686i | − | 1.22765i | −0.789443 | − | 0.613824i | \(-0.789630\pi\) | ||
0.789443 | − | 0.613824i | \(-0.210370\pi\) | |||||||
\(348\) | −4.43976 | − | 8.93753i | −0.237996 | − | 0.479102i | ||||
\(349\) | −14.5245 | + | 3.89183i | −0.777480 | + | 0.208325i | −0.625673 | − | 0.780085i | \(-0.715176\pi\) |
−0.151806 | + | 0.988410i | \(0.548509\pi\) | |||||||
\(350\) | −5.85908 | − | 2.11148i | −0.313181 | − | 0.112863i | ||||
\(351\) | −17.8639 | − | 5.64626i | −0.953506 | − | 0.301375i | ||||
\(352\) | −2.53789 | − | 4.39576i | −0.135270 | − | 0.234295i | ||||
\(353\) | −2.42180 | + | 9.03830i | −0.128900 | + | 0.481060i | −0.999949 | − | 0.0101361i | \(-0.996774\pi\) |
0.871049 | + | 0.491196i | \(0.163440\pi\) | |||||||
\(354\) | 0.790956 | − | 1.19121i | 0.0420388 | − | 0.0633120i | ||||
\(355\) | 21.2778 | + | 12.2848i | 1.12931 | + | 0.652007i | ||||
\(356\) | 5.02101 | + | 5.02101i | 0.266113 | + | 0.266113i | ||||
\(357\) | 1.43959 | + | 3.63634i | 0.0761910 | + | 0.192455i | ||||
\(358\) | 4.42527 | − | 16.5153i | 0.233883 | − | 0.872863i | ||||
\(359\) | 35.6238 | + | 9.54536i | 1.88015 | + | 0.503785i | 0.999552 | + | 0.0299221i | \(0.00952593\pi\) |
0.880599 | + | 0.473863i | \(0.157141\pi\) | |||||||
\(360\) | −2.94827 | + | 3.88873i | −0.155388 | + | 0.204954i | ||||
\(361\) | −10.7175 | + | 6.18776i | −0.564080 | + | 0.325672i | ||||
\(362\) | 7.33657 | − | 7.33657i | 0.385602 | − | 0.385602i | ||||
\(363\) | 22.9014 | − | 11.3764i | 1.20201 | − | 0.597104i | ||||
\(364\) | −7.13283 | − | 6.33425i | −0.373862 | − | 0.332005i | ||||
\(365\) | − | 17.7890i | − | 0.931118i | ||||||
\(366\) | −3.23129 | + | 9.61051i | −0.168902 | + | 0.502349i | ||||
\(367\) | 16.8558 | + | 29.1952i | 0.879868 | + | 1.52398i | 0.851485 | + | 0.524379i | \(0.175703\pi\) |
0.0283834 | + | 0.999597i | \(0.490964\pi\) | |||||||
\(368\) | 2.49659 | 0.130144 | ||||||||
\(369\) | 3.95127 | + | 5.08805i | 0.205695 | + | 0.264873i | ||||
\(370\) | −8.63494 | − | 2.31372i | −0.448909 | − | 0.120285i | ||||
\(371\) | 27.5509 | − | 12.9539i | 1.43037 | − | 0.672533i | ||||
\(372\) | 3.15449 | − | 9.38207i | 0.163552 | − | 0.486438i | ||||
\(373\) | 10.0898 | − | 17.4761i | 0.522432 | − | 0.904878i | −0.477228 | − | 0.878780i | \(-0.658358\pi\) |
0.999659 | − | 0.0260985i | \(-0.00830836\pi\) | |||||||
\(374\) | 2.16593 | + | 3.75150i | 0.111997 | + | 0.193985i | ||||
\(375\) | 4.10107 | + | 20.3096i | 0.211778 | + | 1.04879i | ||||
\(376\) | 6.48447 | − | 3.74381i | 0.334411 | − | 0.193072i | ||||
\(377\) | −16.6369 | − | 12.4408i | −0.856846 | − | 0.640733i | ||||
\(378\) | 13.7470 | + | 0.136712i | 0.707072 | + | 0.00703170i | ||||
\(379\) | 2.45073 | + | 9.14625i | 0.125886 | + | 0.469811i | 0.999870 | − | 0.0161431i | \(-0.00513874\pi\) |
−0.873984 | + | 0.485954i | \(0.838472\pi\) | |||||||
\(380\) | − | 9.11162i | − | 0.467416i | ||||||
\(381\) | 12.2710 | − | 6.09569i | 0.628664 | − | 0.312291i | ||||
\(382\) | −2.71231 | − | 10.1225i | −0.138774 | − | 0.517912i | ||||
\(383\) | 21.2210 | − | 5.68615i | 1.08434 | − | 0.290549i | 0.327969 | − | 0.944688i | \(-0.393636\pi\) |
0.756374 | + | 0.654140i | \(0.226969\pi\) | |||||||
\(384\) | −0.342829 | − | 1.69778i | −0.0174949 | − | 0.0866396i | ||||
\(385\) | −9.29495 | − | 19.7689i | −0.473715 | − | 1.00752i | ||||
\(386\) | 2.64358 | − | 1.52627i | 0.134555 | − | 0.0776851i | ||||
\(387\) | −31.0511 | − | 23.5416i | −1.57842 | − | 1.19669i | ||||
\(388\) | 4.00176 | − | 14.9348i | 0.203159 | − | 0.758199i | ||||
\(389\) | −1.09507 | + | 1.89671i | −0.0555220 | + | 0.0961669i | −0.892451 | − | 0.451145i | \(-0.851016\pi\) |
0.836929 | + | 0.547312i | \(0.184349\pi\) | |||||||
\(390\) | −1.82899 | + | 9.99256i | −0.0926146 | + | 0.505993i | ||||
\(391\) | −2.13067 | −0.107753 | ||||||||
\(392\) | 6.36282 | + | 2.91796i | 0.321371 | + | 0.147379i | ||||
\(393\) | 0.825453 | − | 13.1792i | 0.0416386 | − | 0.664803i | ||||
\(394\) | −19.1874 | − | 11.0779i | −0.966649 | − | 0.558095i | ||||
\(395\) | 18.9800 | − | 5.08569i | 0.954989 | − | 0.255889i | ||||
\(396\) | 15.0853 | − | 2.07506i | 0.758066 | − | 0.104275i | ||||
\(397\) | −10.1722 | + | 2.72562i | −0.510526 | + | 0.136795i | −0.504881 | − | 0.863189i | \(-0.668464\pi\) |
−0.00564529 | + | 0.999984i | \(0.501797\pi\) | |||||||
\(398\) | 3.50595 | − | 3.50595i | 0.175737 | − | 0.175737i | ||||
\(399\) | −20.6079 | + | 15.3037i | −1.03168 | + | 0.766142i | ||||
\(400\) | −2.03857 | − | 1.17697i | −0.101929 | − | 0.0588484i | ||||
\(401\) | −17.3470 | + | 17.3470i | −0.866269 | + | 0.866269i | −0.992057 | − | 0.125788i | \(-0.959854\pi\) |
0.125788 | + | 0.992057i | \(0.459854\pi\) | |||||||
\(402\) | 21.1968 | + | 1.32762i | 1.05720 | + | 0.0662156i | ||||
\(403\) | −2.94295 | − | 20.3935i | −0.146599 | − | 1.01587i | ||||
\(404\) | −1.83647 | + | 1.06029i | −0.0913678 | + | 0.0527512i | ||||
\(405\) | −7.46653 | − | 12.5929i | −0.371015 | − | 0.625748i | ||||
\(406\) | 14.3411 | + | 5.16822i | 0.711739 | + | 0.256494i | ||||
\(407\) | 13.9473 | + | 24.1574i | 0.691340 | + | 1.19744i | ||||
\(408\) | 0.292582 | + | 1.44895i | 0.0144850 | + | 0.0717335i | ||||
\(409\) | 3.30511 | − | 3.30511i | 0.163427 | − | 0.163427i | −0.620656 | − | 0.784083i | \(-0.713134\pi\) |
0.784083 | + | 0.620656i | \(0.213134\pi\) | |||||||
\(410\) | 2.46997 | − | 2.46997i | 0.121983 | − | 0.121983i | ||||
\(411\) | −2.48100 | − | 12.2866i | −0.122379 | − | 0.606053i | ||||
\(412\) | 1.40573 | + | 2.43480i | 0.0692556 | + | 0.119954i | ||||
\(413\) | 0.386112 | + | 2.14980i | 0.0189994 | + | 0.105785i | ||||
\(414\) | −2.82605 | + | 6.93614i | −0.138893 | + | 0.340893i | ||||
\(415\) | 6.34383 | − | 3.66261i | 0.311407 | − | 0.179791i | ||||
\(416\) | −2.23028 | − | 2.83300i | −0.109348 | − | 0.138899i | ||||
\(417\) | 7.70833 | + | 0.482796i | 0.377479 | + | 0.0236426i | ||||
\(418\) | −20.1041 | + | 20.1041i | −0.983322 | + | 0.983322i | ||||
\(419\) | −17.5508 | − | 10.1330i | −0.857413 | − | 0.495028i | 0.00573204 | − | 0.999984i | \(-0.498175\pi\) |
−0.863145 | + | 0.504956i | \(0.831509\pi\) | |||||||
\(420\) | −0.856533 | − | 7.40498i | −0.0417945 | − | 0.361326i | ||||
\(421\) | 6.81033 | − | 6.81033i | 0.331915 | − | 0.331915i | −0.521398 | − | 0.853313i | \(-0.674589\pi\) |
0.853313 | + | 0.521398i | \(0.174589\pi\) | |||||||
\(422\) | −5.14430 | + | 1.37841i | −0.250421 | + | 0.0671001i | ||||
\(423\) | 3.06104 | + | 22.2533i | 0.148833 | + | 1.08199i | ||||
\(424\) | 11.1148 | − | 2.97819i | 0.539781 | − | 0.144634i | ||||
\(425\) | 1.73979 | + | 1.00447i | 0.0843920 | + | 0.0487237i | ||||
\(426\) | 1.63535 | − | 26.1100i | 0.0792329 | − | 1.26503i | ||||
\(427\) | −6.59001 | − | 14.0159i | −0.318913 | − | 0.678277i | ||||
\(428\) | −12.1409 | −0.586852 | ||||||||
\(429\) | 26.0833 | − | 18.0123i | 1.25932 | − | 0.869641i | ||||
\(430\) | −10.5643 | + | 18.2978i | −0.509453 | + | 0.882399i | ||||
\(431\) | 1.47412 | − | 5.50147i | 0.0710056 | − | 0.264997i | −0.921292 | − | 0.388871i | \(-0.872865\pi\) |
0.992298 | + | 0.123874i | \(0.0395319\pi\) | |||||||
\(432\) | 5.10493 | + | 0.969366i | 0.245611 | + | 0.0466386i | ||||
\(433\) | −29.1233 | + | 16.8144i | −1.39958 | + | 0.808047i | −0.994348 | − | 0.106168i | \(-0.966142\pi\) |
−0.405230 | + | 0.914215i | \(0.632808\pi\) | |||||||
\(434\) | 6.43337 | + | 13.6828i | 0.308812 | + | 0.656793i | ||||
\(435\) | −3.21312 | − | 15.9123i | −0.154057 | − | 0.762934i | ||||
\(436\) | −6.99713 | + | 1.87488i | −0.335102 | + | 0.0897903i | ||||
\(437\) | −3.61942 | − | 13.5078i | −0.173140 | − | 0.646168i | ||||
\(438\) | −16.9637 | + | 8.42677i | −0.810555 | + | 0.402647i | ||||
\(439\) | − | 1.40144i | − | 0.0668871i | −0.999441 | − | 0.0334436i | \(-0.989353\pi\) | ||
0.999441 | − | 0.0334436i | \(-0.0106474\pi\) | |||||||
\(440\) | −2.13698 | − | 7.97531i | −0.101876 | − | 0.380208i | ||||
\(441\) | −15.3093 | + | 14.3745i | −0.729015 | + | 0.684498i | ||||
\(442\) | 1.90339 | + | 2.41778i | 0.0905352 | + | 0.115002i | ||||
\(443\) | −16.1647 | + | 9.33267i | −0.768007 | + | 0.443409i | −0.832163 | − | 0.554531i | \(-0.812898\pi\) |
0.0641565 | + | 0.997940i | \(0.479564\pi\) | |||||||
\(444\) | 1.88405 | + | 9.33034i | 0.0894131 | + | 0.442799i | ||||
\(445\) | 5.77532 | + | 10.0031i | 0.273776 | + | 0.474195i | ||||
\(446\) | −5.26656 | + | 9.12194i | −0.249379 | + | 0.431936i | ||||
\(447\) | 6.77872 | − | 20.1613i | 0.320622 | − | 0.953595i | ||||
\(448\) | 2.17208 | + | 1.51065i | 0.102621 | + | 0.0713714i | ||||
\(449\) | −13.6899 | − | 3.66820i | −0.646066 | − | 0.173113i | −0.0791167 | − | 0.996865i | \(-0.525210\pi\) |
−0.566950 | + | 0.823752i | \(0.691877\pi\) | |||||||
\(450\) | 5.57750 | − | 4.33137i | 0.262926 | − | 0.204183i | ||||
\(451\) | −10.8996 | −0.513242 | ||||||||
\(452\) | 5.57491 | + | 9.65602i | 0.262222 | + | 0.454181i | ||||
\(453\) | −0.0312555 | + | 0.0929602i | −0.00146851 | + | 0.00436765i | ||||
\(454\) | 4.04124i | 0.189665i | ||||||||
\(455\) | −8.54061 | − | 12.9557i | −0.400390 | − | 0.607371i | ||||
\(456\) | −8.68888 | + | 4.31624i | −0.406894 | + | 0.202126i | ||||
\(457\) | −1.40299 | + | 1.40299i | −0.0656291 | + | 0.0656291i | −0.739159 | − | 0.673530i | \(-0.764777\pi\) |
0.673530 | + | 0.739159i | \(0.264777\pi\) | |||||||
\(458\) | 5.30417 | − | 3.06236i | 0.247847 | − | 0.143095i | ||||
\(459\) | −4.35672 | − | 0.827290i | −0.203354 | − | 0.0386146i | ||||
\(460\) | 3.92275 | + | 1.05110i | 0.182899 | + | 0.0490077i | ||||
\(461\) | −3.48234 | + | 12.9963i | −0.162189 | + | 0.605297i | 0.836193 | + | 0.548435i | \(0.184776\pi\) |
−0.998382 | + | 0.0568621i | \(0.981890\pi\) | |||||||
\(462\) | −14.4486 | + | 18.2284i | −0.672211 | + | 0.848061i | ||||
\(463\) | −25.6449 | − | 25.6449i | −1.19182 | − | 1.19182i | −0.976555 | − | 0.215266i | \(-0.930938\pi\) |
−0.215266 | − | 0.976555i | \(-0.569062\pi\) | |||||||
\(464\) | 4.98976 | + | 2.88084i | 0.231644 | + | 0.133740i | ||||
\(465\) | 8.90645 | − | 13.4134i | 0.413027 | − | 0.622034i | ||||
\(466\) | −3.25572 | + | 12.1505i | −0.150818 | + | 0.562862i | ||||
\(467\) | 5.68598 | + | 9.84841i | 0.263116 | + | 0.455730i | 0.967068 | − | 0.254517i | \(-0.0819165\pi\) |
−0.703952 | + | 0.710247i | \(0.748583\pi\) | |||||||
\(468\) | 10.3954 | − | 2.98941i | 0.480526 | − | 0.138185i | ||||
\(469\) | −24.7857 | + | 20.9322i | −1.14450 | + | 0.966559i | ||||
\(470\) | 11.7649 | − | 3.15239i | 0.542673 | − | 0.145409i | ||||
\(471\) | 3.13254 | + | 6.30602i | 0.144340 | + | 0.290566i | ||||
\(472\) | 0.825548i | 0.0379989i | ||||||||
\(473\) | 63.6819 | − | 17.0635i | 2.92810 | − | 0.784581i | ||||
\(474\) | −13.8407 | − | 15.6903i | −0.635725 | − | 0.720681i | ||||
\(475\) | −3.41261 | + | 12.7360i | −0.156581 | + | 0.584369i | ||||
\(476\) | −1.85373 | − | 1.28924i | −0.0849656 | − | 0.0590922i | ||||
\(477\) | −4.30736 | + | 34.2508i | −0.197220 | + | 1.56824i | ||||
\(478\) | 20.2004i | 0.923944i | ||||||||
\(479\) | −4.45283 | − | 1.19313i | −0.203455 | − | 0.0545156i | 0.155652 | − | 0.987812i | \(-0.450252\pi\) |
−0.359107 | + | 0.933296i | \(0.616919\pi\) | |||||||
\(480\) | 0.176122 | − | 2.81197i | 0.00803884 | − | 0.128348i | ||||
\(481\) | 12.2567 | + | 15.5690i | 0.558858 | + | 0.709886i | ||||
\(482\) | − | 23.6500i | − | 1.07723i | ||||||
\(483\) | −4.21128 | − | 10.6375i | −0.191620 | − | 0.484024i | ||||
\(484\) | −7.38182 | + | 12.7857i | −0.335537 | + | 0.581168i | ||||
\(485\) | 12.5755 | − | 21.7814i | 0.571024 | − | 0.989042i | ||||
\(486\) | −8.47174 | + | 13.0855i | −0.384286 | + | 0.593569i | ||||
\(487\) | 6.55708 | − | 6.55708i | 0.297130 | − | 0.297130i | −0.542759 | − | 0.839889i | \(-0.682620\pi\) |
0.839889 | + | 0.542759i | \(0.182620\pi\) | |||||||
\(488\) | −1.51509 | − | 5.65440i | −0.0685850 | − | 0.255963i | ||||
\(489\) | 5.62031 | − | 16.7159i | 0.254159 | − | 0.755921i | ||||
\(490\) | 8.76905 | + | 7.26367i | 0.396145 | + | 0.328139i | ||||
\(491\) | 13.9676 | − | 24.1925i | 0.630347 | − | 1.09179i | −0.357134 | − | 0.934053i | \(-0.616246\pi\) |
0.987481 | − | 0.157739i | \(-0.0504206\pi\) | |||||||
\(492\) | −3.52542 | − | 1.18533i | −0.158938 | − | 0.0534389i | ||||
\(493\) | −4.25844 | − | 2.45861i | −0.191790 | − | 0.110730i | ||||
\(494\) | −12.0947 | + | 16.1741i | −0.544164 | + | 0.727706i | ||||
\(495\) | 24.5764 | + | 3.09071i | 1.10463 | + | 0.138917i | ||||
\(496\) | 1.47908 | + | 5.51999i | 0.0664126 | + | 0.247855i | ||||
\(497\) | 25.7841 | + | 30.5308i | 1.15658 | + | 1.36949i | ||||
\(498\) | −6.49781 | − | 4.31450i | −0.291174 | − | 0.193338i | ||||
\(499\) | −4.88887 | − | 1.30997i | −0.218856 | − | 0.0586423i | 0.147725 | − | 0.989029i | \(-0.452805\pi\) |
−0.366581 | + | 0.930386i | \(0.619472\pi\) | |||||||
\(500\) | −8.45873 | − | 8.45873i | −0.378286 | − | 0.378286i | ||||
\(501\) | −18.3895 | − | 6.18302i | −0.821584 | − | 0.276237i | ||||
\(502\) | −0.400323 | + | 1.49403i | −0.0178673 | + | 0.0666816i | ||||
\(503\) | −19.2261 | + | 11.1002i | −0.857248 | + | 0.494932i | −0.863090 | − | 0.505051i | \(-0.831474\pi\) |
0.00584193 | + | 0.999983i | \(0.498140\pi\) | |||||||
\(504\) | −6.65567 | + | 4.32458i | −0.296467 | + | 0.192632i | ||||
\(505\) | −3.33194 | + | 0.892791i | −0.148269 | + | 0.0397287i | ||||
\(506\) | −6.33608 | − | 10.9744i | −0.281673 | − | 0.487872i | ||||
\(507\) | 16.5107 | − | 15.3101i | 0.733264 | − | 0.679944i | ||||
\(508\) | −3.95533 | + | 6.85083i | −0.175489 | + | 0.303957i | ||||
\(509\) | 18.3639 | + | 18.3639i | 0.813966 | + | 0.813966i | 0.985226 | − | 0.171260i | \(-0.0547838\pi\) |
−0.171260 | + | 0.985226i | \(0.554784\pi\) | |||||||
\(510\) | −0.150309 | + | 2.39983i | −0.00665578 | + | 0.106266i | ||||
\(511\) | 9.80941 | − | 27.2199i | 0.433943 | − | 1.20414i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −2.15607 | − | 29.0257i | −0.0951930 | − | 1.28152i | ||||
\(514\) | −4.87178 | − | 4.87178i | −0.214885 | − | 0.214885i | ||||
\(515\) | 1.18367 | + | 4.41751i | 0.0521586 | + | 0.194659i | ||||
\(516\) | 22.4532 | + | 1.40631i | 0.988449 | + | 0.0619096i | ||||
\(517\) | −32.9138 | − | 19.0028i | −1.44755 | − | 0.835742i | ||||
\(518\) | −11.9369 | − | 8.30192i | −0.524477 | − | 0.364766i | ||||
\(519\) | 9.20291 | + | 18.5261i | 0.403963 | + | 0.813205i | ||||
\(520\) | −2.31158 | − | 5.39031i | −0.101369 | − | 0.236381i | ||||
\(521\) | −24.5520 | − | 14.1751i | −1.07564 | − | 0.621021i | −0.145923 | − | 0.989296i | \(-0.546615\pi\) |
−0.929717 | + | 0.368275i | \(0.879949\pi\) | |||||||
\(522\) | −13.6519 | + | 10.6018i | −0.597528 | + | 0.464028i | ||||
\(523\) | −42.0930 | −1.84060 | −0.920299 | − | 0.391216i | \(-0.872054\pi\) | ||||
−0.920299 | + | 0.391216i | \(0.872054\pi\) | |||||||
\(524\) | 3.81196 | + | 6.60251i | 0.166526 | + | 0.288432i | ||||
\(525\) | −1.57617 | + | 10.6713i | −0.0687897 | + | 0.465735i | ||||
\(526\) | −5.09956 | − | 1.36642i | −0.222351 | − | 0.0595788i | ||||
\(527\) | −1.26230 | − | 4.71095i | −0.0549865 | − | 0.205212i | ||||
\(528\) | −6.59299 | + | 5.81579i | −0.286923 | + | 0.253100i | ||||
\(529\) | −16.7671 | −0.729002 | ||||||||
\(530\) | 18.7179 | 0.813053 | ||||||||
\(531\) | −2.29358 | − | 0.934491i | −0.0995328 | − | 0.0405534i | ||||
\(532\) | 5.02443 | − | 13.9422i | 0.217837 | − | 0.604469i | ||||
\(533\) | −7.66307 | + | 1.10585i | −0.331924 | + | 0.0478995i | ||||
\(534\) | 6.80324 | − | 10.2459i | 0.294405 | − | 0.443385i | ||||
\(535\) | −19.0763 | − | 5.11148i | −0.824741 | − | 0.220989i | ||||
\(536\) | −10.6192 | + | 6.13098i | −0.458678 | + | 0.264818i | ||||
\(537\) | −29.5566 | − | 1.85122i | −1.27546 | − | 0.0798859i | ||||
\(538\) | 13.4701 | − | 13.4701i | 0.580737 | − | 0.580737i | ||||
\(539\) | −3.32150 | − | 35.3749i | −0.143067 | − | 1.52371i | ||||
\(540\) | 7.61298 | + | 3.67236i | 0.327611 | + | 0.158033i | ||||
\(541\) | −0.184580 | + | 0.688861i | −0.00793570 | + | 0.0296164i | −0.969780 | − | 0.243980i | \(-0.921547\pi\) |
0.961844 | + | 0.273597i | \(0.0882134\pi\) | |||||||
\(542\) | 0.256957i | 0.0110372i | ||||||||
\(543\) | −14.9711 | − | 9.94072i | −0.642471 | − | 0.426597i | ||||
\(544\) | −0.603469 | − | 0.603469i | −0.0258735 | − | 0.0258735i | ||||
\(545\) | −11.7836 | −0.504752 | ||||||||
\(546\) | −8.30885 | + | 14.2816i | −0.355586 | + | 0.611195i | ||||
\(547\) | 3.36783 | 0.143998 | 0.0719990 | − | 0.997405i | \(-0.477062\pi\) | ||||
0.0719990 | + | 0.997405i | \(0.477062\pi\) | |||||||
\(548\) | 5.11722 | + | 5.11722i | 0.218597 | + | 0.218597i | ||||
\(549\) | 17.4243 | + | 2.19127i | 0.743653 | + | 0.0935213i | ||||
\(550\) | 11.9481i | 0.509468i | ||||||||
\(551\) | 8.35297 | − | 31.1737i | 0.355849 | − | 1.32804i | ||||
\(552\) | −0.855902 | − | 4.23867i | −0.0364296 | − | 0.180410i | ||||
\(553\) | 31.8467 | + | 2.68432i | 1.35426 | + | 0.114149i | ||||
\(554\) | −0.993649 | + | 0.993649i | −0.0422161 | + | 0.0422161i | ||||
\(555\) | −0.967897 | + | 15.4535i | −0.0410849 | + | 0.655963i | ||||
\(556\) | −3.86172 | + | 2.22956i | −0.163773 | + | 0.0945546i | ||||
\(557\) | −1.53348 | − | 0.410894i | −0.0649756 | − | 0.0174102i | 0.226185 | − | 0.974084i | \(-0.427375\pi\) |
−0.291160 | + | 0.956674i | \(0.594041\pi\) | |||||||
\(558\) | −17.0102 | − | 2.13919i | −0.720098 | − | 0.0905591i | ||||
\(559\) | 43.0410 | − | 18.4577i | 1.82044 | − | 0.780677i | ||||
\(560\) | 2.77687 | + | 3.28807i | 0.117344 | + | 0.138947i | ||||
\(561\) | 5.62668 | − | 4.96340i | 0.237559 | − | 0.209555i | ||||
\(562\) | −25.8829 | −1.09180 | ||||||||
\(563\) | 9.72303 | 0.409777 | 0.204889 | − | 0.978785i | \(-0.434317\pi\) | ||||
0.204889 | + | 0.978785i | \(0.434317\pi\) | |||||||
\(564\) | −8.57924 | − | 9.72573i | −0.361251 | − | 0.409527i | ||||
\(565\) | 4.69422 | + | 17.5191i | 0.197487 | + | 0.737033i | ||||
\(566\) | 23.2096 | + | 6.21900i | 0.975573 | + | 0.261404i | ||||
\(567\) | −4.48078 | − | 23.3864i | −0.188175 | − | 0.982136i | ||||
\(568\) | 7.55208 | + | 13.0806i | 0.316878 | + | 0.548849i | ||||
\(569\) | 22.2382 | 0.932275 | 0.466138 | − | 0.884712i | \(-0.345645\pi\) | ||||
0.466138 | + | 0.884712i | \(0.345645\pi\) | |||||||
\(570\) | −15.4696 | + | 3.12373i | −0.647948 | + | 0.130838i | ||||
\(571\) | −0.631338 | − | 0.364503i | −0.0264207 | − | 0.0152540i | 0.486731 | − | 0.873552i | \(-0.338189\pi\) |
−0.513152 | + | 0.858298i | \(0.671522\pi\) | |||||||
\(572\) | −6.79298 | + | 16.9936i | −0.284029 | + | 0.710539i | ||||
\(573\) | −16.2559 | + | 8.07520i | −0.679101 | + | 0.337346i | ||||
\(574\) | 5.14145 | − | 2.41741i | 0.214600 | − | 0.100901i | ||||
\(575\) | −5.08947 | − | 2.93841i | −0.212246 | − | 0.122540i | ||||
\(576\) | −2.76494 | + | 1.16410i | −0.115206 | + | 0.0485041i | ||||
\(577\) | 10.9682 | + | 40.9337i | 0.456610 | + | 1.70409i | 0.683310 | + | 0.730128i | \(0.260540\pi\) |
−0.226700 | + | 0.973965i | \(0.572794\pi\) | |||||||
\(578\) | −11.5058 | − | 11.5058i | −0.478578 | − | 0.478578i | ||||
\(579\) | −3.49757 | − | 3.96497i | −0.145354 | − | 0.164779i | ||||
\(580\) | 6.62726 | + | 6.62726i | 0.275182 | + | 0.275182i | ||||
\(581\) | 11.7267 | − | 2.10617i | 0.486506 | − | 0.0873785i | ||||
\(582\) | −26.7279 | − | 1.67405i | −1.10791 | − | 0.0693917i | ||||
\(583\) | −41.2996 | − | 41.2996i | −1.71045 | − | 1.71045i | ||||
\(584\) | 5.46791 | − | 9.47070i | 0.226264 | − | 0.391900i | ||||
\(585\) | 17.5922 | − | 0.320505i | 0.727349 | − | 0.0132512i | ||||
\(586\) | 6.36456 | + | 11.0237i | 0.262918 | + | 0.455387i | ||||
\(587\) | −26.7015 | + | 7.15465i | −1.10209 | + | 0.295304i | −0.763615 | − | 0.645672i | \(-0.776578\pi\) |
−0.338474 | + | 0.940976i | \(0.609911\pi\) | |||||||
\(588\) | 2.77271 | − | 11.8031i | 0.114345 | − | 0.486750i | ||||
\(589\) | 27.7218 | − | 16.0052i | 1.14226 | − | 0.659482i | ||||
\(590\) | −0.347567 | + | 1.29714i | −0.0143091 | + | 0.0534023i | ||||
\(591\) | −12.2298 | + | 36.3739i | −0.503068 | + | 1.49622i | ||||
\(592\) | −3.88598 | − | 3.88598i | −0.159713 | − | 0.159713i | ||||
\(593\) | −23.9716 | − | 6.42316i | −0.984394 | − | 0.263768i | −0.269500 | − | 0.963000i | \(-0.586858\pi\) |
−0.714894 | + | 0.699233i | \(0.753525\pi\) | |||||||
\(594\) | −8.69468 | − | 24.9002i | −0.356747 | − | 1.02167i | ||||
\(595\) | −2.36988 | − | 2.80616i | −0.0971554 | − | 0.115041i | ||||
\(596\) | 3.17841 | + | 11.8620i | 0.130193 | + | 0.485886i | ||||
\(597\) | −7.15429 | − | 4.75041i | −0.292806 | − | 0.194421i | ||||
\(598\) | −5.56808 | − | 7.07282i | −0.227696 | − | 0.289229i | ||||
\(599\) | −13.1943 | − | 7.61771i | −0.539103 | − | 0.311251i | 0.205612 | − | 0.978634i | \(-0.434081\pi\) |
−0.744715 | + | 0.667382i | \(0.767415\pi\) | |||||||
\(600\) | −1.29936 | + | 3.86455i | −0.0530461 | + | 0.157770i | ||||
\(601\) | 4.51090 | − | 7.81311i | 0.184004 | − | 0.318703i | −0.759237 | − | 0.650815i | \(-0.774428\pi\) |
0.943240 | + | 0.332111i | \(0.107761\pi\) | |||||||
\(602\) | −26.2549 | + | 22.1730i | −1.07007 | + | 0.903703i | ||||
\(603\) | −5.01286 | − | 36.4427i | −0.204140 | − | 1.48406i | ||||
\(604\) | −0.0146551 | − | 0.0546937i | −0.000596308 | − | 0.00222545i | ||||
\(605\) | −16.9816 | + | 16.9816i | −0.690400 | + | 0.690400i | ||||
\(606\) | 2.42973 | + | 2.75443i | 0.0987011 | + | 0.111891i | ||||
\(607\) | 18.2375 | − | 31.5882i | 0.740237 | − | 1.28213i | −0.212151 | − | 0.977237i | \(-0.568047\pi\) |
0.952387 | − | 0.304890i | \(-0.0986198\pi\) | |||||||
\(608\) | 2.80069 | − | 4.85094i | 0.113583 | − | 0.196732i | ||||
\(609\) | 3.85796 | − | 26.1200i | 0.156332 | − | 1.05843i | ||||
\(610\) | − | 9.52232i | − | 0.385547i | ||||||
\(611\) | −25.0683 | − | 10.0207i | −1.01416 | − | 0.405396i | ||||
\(612\) | 2.35969 | − | 0.993481i | 0.0953849 | − | 0.0401591i | ||||
\(613\) | 4.92172 | + | 1.31877i | 0.198786 | + | 0.0532646i | 0.356838 | − | 0.934166i | \(-0.383855\pi\) |
−0.158052 | + | 0.987431i | \(0.550521\pi\) | |||||||
\(614\) | 9.48876i | 0.382935i | ||||||||
\(615\) | −5.04025 | − | 3.34670i | −0.203242 | − | 0.134952i | ||||
\(616\) | 1.12794 | − | 13.3818i | 0.0454459 | − | 0.539169i | ||||
\(617\) | 0.366038 | − | 1.36607i | 0.0147361 | − | 0.0549960i | −0.958166 | − | 0.286212i | \(-0.907604\pi\) |
0.972902 | + | 0.231216i | \(0.0742705\pi\) | |||||||
\(618\) | 3.65184 | − | 3.22135i | 0.146899 | − | 0.129582i | ||||
\(619\) | 0.0928089 | − | 0.0248681i | 0.00373031 | − | 0.000999532i | −0.256953 | − | 0.966424i | \(-0.582719\pi\) |
0.260684 | + | 0.965424i | \(0.416052\pi\) | |||||||
\(620\) | 9.29597i | 0.373335i | ||||||||
\(621\) | 12.7449 | + | 2.42011i | 0.511436 | + | 0.0971155i | ||||
\(622\) | −12.8682 | + | 3.44801i | −0.515966 | + | 0.138253i | ||||
\(623\) | 3.32106 | + | 18.4910i | 0.133056 | + | 0.740827i | ||||
\(624\) | −4.04521 | + | 4.75776i | −0.161938 | + | 0.190463i | ||||
\(625\) | −3.84464 | − | 6.65912i | −0.153786 | − | 0.266365i | ||||
\(626\) | −6.71445 | + | 25.0587i | −0.268364 | + | 1.00155i | ||||
\(627\) | 41.0246 | + | 27.2401i | 1.63837 | + | 1.08787i | ||||
\(628\) | −3.52061 | − | 2.03262i | −0.140487 | − | 0.0811105i | ||||
\(629\) | 3.31643 | + | 3.31643i | 0.132235 | + | 0.132235i | ||||
\(630\) | −12.2784 | + | 3.99285i | −0.489183 | + | 0.159079i | ||||
\(631\) | −2.23294 | + | 8.33346i | −0.0888921 | + | 0.331750i | −0.996023 | − | 0.0890992i | \(-0.971601\pi\) |
0.907131 | + | 0.420849i | \(0.138268\pi\) | |||||||
\(632\) | 11.6680 | + | 3.12644i | 0.464129 | + | 0.124363i | ||||
\(633\) | 4.10386 | + | 8.26135i | 0.163114 | + | 0.328359i | ||||
\(634\) | 4.74305 | − | 2.73840i | 0.188371 | − | 0.108756i | ||||
\(635\) | −9.09909 | + | 9.09909i | −0.361086 | + | 0.361086i | ||||
\(636\) | −8.86679 | − | 17.8495i | −0.351591 | − | 0.707777i | ||||
\(637\) | −5.92427 | − | 24.5337i | −0.234728 | − | 0.972061i | ||||
\(638\) | − | 29.2451i | − | 1.15782i | ||||||
\(639\) | −44.8898 | + | 6.17480i | −1.77581 | + | 0.244271i | ||||
\(640\) | 0.813336 | + | 1.40874i | 0.0321499 | + | 0.0556853i | ||||
\(641\) | −38.6190 | −1.52536 | −0.762680 | − | 0.646776i | \(-0.776117\pi\) | ||||
−0.762680 | + | 0.646776i | \(0.776117\pi\) | |||||||
\(642\) | 4.16225 | + | 20.6126i | 0.164271 | + | 0.813515i | ||||
\(643\) | −11.1923 | − | 2.99896i | −0.441380 | − | 0.118268i | 0.0312830 | − | 0.999511i | \(-0.490041\pi\) |
−0.472663 | + | 0.881243i | \(0.656707\pi\) | |||||||
\(644\) | 5.42279 | + | 3.77147i | 0.213688 | + | 0.148617i | ||||
\(645\) | 34.6875 | + | 11.6628i | 1.36582 | + | 0.459222i | ||||
\(646\) | −2.39021 | + | 4.13996i | −0.0940414 | + | 0.162885i | ||||
\(647\) | 22.8744 | + | 39.6196i | 0.899285 | + | 1.55761i | 0.828410 | + | 0.560122i | \(0.189246\pi\) |
0.0708753 | + | 0.997485i | \(0.477421\pi\) | |||||||
\(648\) | −0.104345 | − | 8.99940i | −0.00409904 | − | 0.353530i | ||||
\(649\) | 3.62891 | − | 2.09515i | 0.142447 | − | 0.0822420i | ||||
\(650\) | 1.21222 | + | 8.40023i | 0.0475474 | + | 0.329484i | ||||
\(651\) | 21.0248 | − | 15.6133i | 0.824027 | − | 0.611934i | ||||
\(652\) | 2.63526 | + | 9.83491i | 0.103205 | + | 0.385165i | ||||
\(653\) | − | 14.7980i | − | 0.579090i | −0.957164 | − | 0.289545i | \(-0.906496\pi\) | ||
0.957164 | − | 0.289545i | \(-0.0935040\pi\) | |||||||
\(654\) | 5.58195 | + | 11.2369i | 0.218272 | + | 0.439396i | ||||
\(655\) | 3.20978 | + | 11.9791i | 0.125416 | + | 0.468060i | ||||
\(656\) | 2.07420 | − | 0.555780i | 0.0809838 | − | 0.0216996i | ||||
\(657\) | 20.1225 | + | 25.9117i | 0.785052 | + | 1.01091i | ||||
\(658\) | 19.7404 | + | 1.66389i | 0.769560 | + | 0.0648652i | ||||
\(659\) | −32.1017 | + | 18.5340i | −1.25051 | + | 0.721980i | −0.971210 | − | 0.238225i | \(-0.923435\pi\) |
−0.279296 | + | 0.960205i | \(0.590101\pi\) | |||||||
\(660\) | −12.8077 | + | 6.36229i | −0.498540 | + | 0.247652i | ||||
\(661\) | −2.45433 | + | 9.15969i | −0.0954625 | + | 0.356271i | −0.997089 | − | 0.0762443i | \(-0.975707\pi\) |
0.901627 | + | 0.432515i | \(0.142374\pi\) | |||||||
\(662\) | 1.21170 | − | 2.09872i | 0.0470940 | − | 0.0815692i | ||||
\(663\) | 3.45232 | − | 4.06043i | 0.134077 | − | 0.157694i | ||||
\(664\) | 4.50320 | 0.174758 | ||||||||
\(665\) | 13.7645 | − | 19.7912i | 0.533763 | − | 0.767469i | ||||
\(666\) | 15.1950 | − | 6.39742i | 0.588794 | − | 0.247895i | ||||
\(667\) | 12.4574 | + | 7.19227i | 0.482352 | + | 0.278486i | ||||
\(668\) | 10.8196 | − | 2.89910i | 0.418622 | − | 0.112170i | ||||
\(669\) | 17.2926 | + | 5.81421i | 0.668571 | + | 0.224790i | ||||
\(670\) | −19.2665 | + | 5.16245i | −0.744331 | + | 0.199443i | ||||
\(671\) | −21.0102 | + | 21.0102i | −0.811092 | + | 0.811092i | ||||
\(672\) | 1.82010 | − | 4.20562i | 0.0702119 | − | 0.162235i | ||||
\(673\) | −5.16640 | − | 2.98282i | −0.199150 | − | 0.114979i | 0.397109 | − | 0.917772i | \(-0.370014\pi\) |
−0.596259 | + | 0.802792i | \(0.703347\pi\) | |||||||
\(674\) | −5.34955 | + | 5.34955i | −0.206057 | + | 0.206057i | ||||
\(675\) | −9.26585 | − | 7.98447i | −0.356643 | − | 0.307322i | ||||
\(676\) | −3.05174 | + | 12.6367i | −0.117375 | + | 0.486028i | ||||
\(677\) | 6.02868 | − | 3.48066i | 0.231701 | − | 0.133773i | −0.379655 | − | 0.925128i | \(-0.623957\pi\) |
0.611357 | + | 0.791355i | \(0.290624\pi\) | |||||||
\(678\) | 14.4826 | − | 12.7753i | 0.556201 | − | 0.490634i | ||||
\(679\) | 31.2534 | − | 26.3943i | 1.19939 | − | 1.01292i | ||||
\(680\) | −0.694129 | − | 1.20227i | −0.0266186 | − | 0.0461048i | ||||
\(681\) | 6.86115 | − | 1.38545i | 0.262920 | − | 0.0530907i | ||||
\(682\) | 20.5108 | − | 20.5108i | 0.785401 | − | 0.785401i | ||||
\(683\) | −23.6186 | + | 23.6186i | −0.903741 | + | 0.903741i | −0.995757 | − | 0.0920164i | \(-0.970669\pi\) |
0.0920164 | + | 0.995757i | \(0.470669\pi\) | |||||||
\(684\) | 10.3068 | + | 13.2721i | 0.394092 | + | 0.507472i | ||||
\(685\) | 5.88599 | + | 10.1948i | 0.224892 | + | 0.389524i | ||||
\(686\) | 9.41255 | + | 15.9500i | 0.359373 | + | 0.608975i | ||||
\(687\) | −7.01765 | − | 7.95546i | −0.267740 | − | 0.303520i | ||||
\(688\) | −11.2486 | + | 6.49440i | −0.428850 | + | 0.247597i | ||||
\(689\) | −33.2262 | − | 24.8459i | −1.26582 | − | 0.946554i | ||||
\(690\) | 0.439704 | − | 7.02033i | 0.0167393 | − | 0.267259i | ||||
\(691\) | 14.9779 | − | 14.9779i | 0.569785 | − | 0.569785i | −0.362283 | − | 0.932068i | \(-0.618003\pi\) |
0.932068 | + | 0.362283i | \(0.118003\pi\) | |||||||
\(692\) | −10.3430 | − | 5.97152i | −0.393181 | − | 0.227003i | ||||
\(693\) | 35.9012 | + | 18.2814i | 1.36378 | + | 0.694454i | ||||
\(694\) | 16.1705 | − | 16.1705i | 0.613824 | − | 0.613824i | ||||
\(695\) | −7.00638 | + | 1.87735i | −0.265767 | + | 0.0712121i | ||||
\(696\) | 3.18041 | − | 9.45917i | 0.120553 | − | 0.358549i | ||||
\(697\) | −1.77019 | + | 0.474322i | −0.0670508 | + | 0.0179662i | ||||
\(698\) | −13.0223 | − | 7.51845i | −0.492902 | − | 0.284577i | ||||
\(699\) | 21.7451 | + | 1.36196i | 0.822476 | + | 0.0515142i | ||||
\(700\) | −2.64996 | − | 5.63604i | −0.100159 | − | 0.213022i | ||||
\(701\) | 33.5732 | 1.26804 | 0.634021 | − | 0.773315i | \(-0.281403\pi\) | ||||
0.634021 | + | 0.773315i | \(0.281403\pi\) | |||||||
\(702\) | −8.63920 | − | 16.6242i | −0.326065 | − | 0.627440i | ||||
\(703\) | −15.3915 | + | 26.6589i | −0.580501 | + | 1.00546i | ||||
\(704\) | 1.31371 | − | 4.90284i | 0.0495124 | − | 0.184783i | ||||
\(705\) | −9.38541 | − | 18.8935i | −0.353475 | − | 0.711570i | ||||
\(706\) | −8.10352 | + | 4.67857i | −0.304980 | + | 0.176080i | ||||
\(707\) | −5.59069 | − | 0.471232i | −0.210259 | − | 0.0177225i | ||||
\(708\) | 1.40160 | − | 0.283022i | 0.0526754 | − | 0.0106366i | ||||
\(709\) | 1.54637 | − | 0.414349i | 0.0580752 | − | 0.0155612i | −0.229664 | − | 0.973270i | \(-0.573763\pi\) |
0.287740 | + | 0.957709i | \(0.407096\pi\) | |||||||
\(710\) | 6.35906 | + | 23.7323i | 0.238651 | + | 0.890659i | ||||
\(711\) | −21.8938 | + | 28.8776i | −0.821081 | + | 1.08300i | ||||
\(712\) | 7.10078i | 0.266113i | ||||||||
\(713\) | 3.69265 | + | 13.7811i | 0.138291 | + | 0.516108i | ||||
\(714\) | −1.55334 | + | 3.58922i | −0.0581322 | + | 0.134323i | ||||
\(715\) | −17.8280 | + | 23.8412i | −0.666728 | + | 0.891610i | ||||
\(716\) | 14.8072 | − | 8.54897i | 0.553373 | − | 0.319490i | ||||
\(717\) | 34.2959 | − | 6.92527i | 1.28080 | − | 0.258629i | ||||
\(718\) | 18.4402 | + | 31.9394i | 0.688183 | + | 1.19197i | ||||
\(719\) | 24.5283 | − | 42.4842i | 0.914750 | − | 1.58439i | 0.107482 | − | 0.994207i | \(-0.465721\pi\) |
0.807267 | − | 0.590186i | \(-0.200946\pi\) | |||||||
\(720\) | −4.83449 | + | 0.665007i | −0.180171 | + | 0.0247833i | ||||
\(721\) | −0.624762 | + | 7.41217i | −0.0232673 | + | 0.276043i | ||||
\(722\) | −11.9538 | − | 3.20302i | −0.444876 | − | 0.119204i | ||||
\(723\) | −40.1526 | + | 8.10790i | −1.49329 | + | 0.301536i | ||||
\(724\) | 10.3755 | 0.385602 | ||||||||
\(725\) | −6.78132 | − | 11.7456i | −0.251852 | − | 0.436220i | ||||
\(726\) | 24.2380 | + | 8.14943i | 0.899558 | + | 0.302454i | ||||
\(727\) | 8.58214i | 0.318294i | 0.987255 | + | 0.159147i | \(0.0508744\pi\) | ||||
−0.987255 | + | 0.159147i | \(0.949126\pi\) | |||||||
\(728\) | −0.564681 | − | 9.52266i | −0.0209285 | − | 0.352933i | ||||
\(729\) | 25.1207 | + | 9.89709i | 0.930395 | + | 0.366559i | ||||
\(730\) | 12.5787 | − | 12.5787i | 0.465559 | − | 0.465559i | ||||
\(731\) | 9.59996 | − | 5.54254i | 0.355067 | − | 0.204998i | ||||
\(732\) | −9.08053 | + | 4.51079i | −0.335626 | + | 0.166724i | ||||
\(733\) | −43.0122 | − | 11.5251i | −1.58869 | − | 0.425689i | −0.647089 | − | 0.762414i | \(-0.724014\pi\) |
−0.941603 | + | 0.336726i | \(0.890681\pi\) | |||||||
\(734\) | −8.72523 | + | 32.5630i | −0.322054 | + | 1.20192i | ||||
\(735\) | 9.32585 | − | 17.3781i | 0.343989 | − | 0.641002i | ||||
\(736\) | 1.76535 | + | 1.76535i | 0.0650718 | + | 0.0650718i | ||||
\(737\) | 53.9006 | + | 31.1196i | 1.98546 | + | 1.14630i | ||||
\(738\) | −0.803824 | + | 6.39176i | −0.0295892 | + | 0.235284i | ||||
\(739\) | 13.0641 | − | 48.7560i | 0.480572 | − | 1.79352i | −0.118650 | − | 0.992936i | \(-0.537857\pi\) |
0.599222 | − | 0.800583i | \(-0.295477\pi\) | |||||||
\(740\) | −4.46977 | − | 7.74187i | −0.164312 | − | 0.284597i | ||||
\(741\) | 31.6065 | + | 14.9892i | 1.16109 | + | 0.550641i | ||||
\(742\) | 28.6412 | + | 10.3216i | 1.05145 | + | 0.378919i | ||||
\(743\) | −29.5583 | + | 7.92014i | −1.08439 | + | 0.290562i | −0.756393 | − | 0.654117i | \(-0.773040\pi\) |
−0.327997 | + | 0.944679i | \(0.606374\pi\) | |||||||
\(744\) | 8.86468 | − | 4.40357i | 0.324995 | − | 0.161443i | ||||
\(745\) | 19.9762i | 0.731873i | ||||||||
\(746\) | 19.4921 | − | 5.22288i | 0.713655 | − | 0.191223i | ||||
\(747\) | −5.09746 | + | 12.5110i | −0.186506 | + | 0.457754i | ||||
\(748\) | −1.12117 | + | 4.18425i | −0.0409939 | + | 0.152991i | ||||
\(749\) | −26.3710 | − | 18.3406i | −0.963576 | − | 0.670152i | ||||
\(750\) | −11.4612 | + | 17.2610i | −0.418503 | + | 0.630282i | ||||
\(751\) | − | 31.1811i | − | 1.13782i | −0.822401 | − | 0.568908i | \(-0.807366\pi\) | ||
0.822401 | − | 0.568908i | \(-0.192634\pi\) | |||||||
\(752\) | 7.23248 | + | 1.93794i | 0.263742 | + | 0.0706693i | ||||
\(753\) | 2.67377 | + | 0.167467i | 0.0974377 | + | 0.00610282i | ||||
\(754\) | −2.96714 | − | 20.5611i | −0.108057 | − | 0.748789i | ||||
\(755\) | − | 0.0921071i | − | 0.00335212i | ||||||
\(756\) | 9.62396 | + | 9.81730i | 0.350020 | + | 0.357052i | ||||
\(757\) | −5.92020 | + | 10.2541i | −0.215173 | + | 0.372691i | −0.953326 | − | 0.301942i | \(-0.902365\pi\) |
0.738153 | + | 0.674633i | \(0.235698\pi\) | |||||||
\(758\) | −4.73445 | + | 8.20030i | −0.171963 | + | 0.297848i | ||||
\(759\) | −16.4600 | + | 14.5196i | −0.597459 | + | 0.527029i | ||||
\(760\) | 6.44289 | − | 6.44289i | 0.233708 | − | 0.233708i | ||||
\(761\) | −5.21146 | − | 19.4494i | −0.188915 | − | 0.705042i | −0.993758 | − | 0.111554i | \(-0.964417\pi\) |
0.804843 | − | 0.593488i | \(-0.202249\pi\) | |||||||
\(762\) | 12.9872 | + | 4.36663i | 0.470478 | + | 0.158186i | ||||
\(763\) | −18.0306 | − | 6.49782i | −0.652752 | − | 0.235237i | ||||
\(764\) | 5.23979 | − | 9.07557i | 0.189569 | − | 0.328343i | ||||
\(765\) | 4.12592 | − | 0.567540i | 0.149173 | − | 0.0205194i | ||||
\(766\) | 19.0262 | + | 10.9848i | 0.687446 | + | 0.396897i | ||||
\(767\) | 2.33878 | − | 1.84120i | 0.0844483 | − | 0.0664819i | ||||
\(768\) | 0.958098 | − | 1.44293i | 0.0345724 | − | 0.0520673i | ||||
\(769\) | −9.69031 | − | 36.1647i | −0.349442 | − | 1.30413i | −0.887337 | − | 0.461122i | \(-0.847447\pi\) |
0.537895 | − | 0.843012i | \(-0.319220\pi\) | |||||||
\(770\) | 7.40620 | − | 20.5512i | 0.266901 | − | 0.740615i | ||||
\(771\) | −6.60104 | + | 9.94141i | −0.237731 | + | 0.358031i | ||||
\(772\) | 2.94853 | + | 0.790055i | 0.106120 | + | 0.0284347i | ||||
\(773\) | −4.54294 | − | 4.54294i | −0.163398 | − | 0.163398i | 0.620672 | − | 0.784070i | \(-0.286860\pi\) |
−0.784070 | + | 0.620672i | \(0.786860\pi\) | |||||||
\(774\) | −5.31000 | − | 38.6029i | −0.190864 | − | 1.38755i | ||||
\(775\) | 3.48166 | − | 12.9937i | 0.125065 | − | 0.466748i | ||||
\(776\) | 13.3902 | − | 7.73081i | 0.480679 | − | 0.277520i | ||||
\(777\) | −10.0026 | + | 23.1124i | −0.358840 | + | 0.829153i | ||||
\(778\) | −2.11550 | + | 0.566847i | −0.0758445 | + | 0.0203225i | ||||
\(779\) | −6.01412 | − | 10.4168i | −0.215478 | − | 0.373219i | ||||
\(780\) | −8.35910 | + | 5.77251i | −0.299304 | + | 0.206689i | ||||
\(781\) | 38.3328 | − | 66.3943i | 1.37165 | − | 2.37578i | ||||
\(782\) | −1.50661 | − | 1.50661i | −0.0538764 | − | 0.0538764i | ||||
\(783\) | 22.6798 | + | 19.5434i | 0.810510 | + | 0.698424i | ||||
\(784\) | 2.43588 | + | 6.56251i | 0.0869958 | + | 0.234375i | ||||
\(785\) | −4.67597 | − | 4.67597i | −0.166893 | − | 0.166893i | ||||
\(786\) | 9.90279 | − | 8.73542i | 0.353221 | − | 0.311582i | ||||
\(787\) | 26.5099 | + | 26.5099i | 0.944975 | + | 0.944975i | 0.998563 | − | 0.0535878i | \(-0.0170657\pi\) |
−0.0535878 | + | 0.998563i | \(0.517066\pi\) | |||||||
\(788\) | −5.73433 | − | 21.4008i | −0.204277 | − | 0.762372i | ||||
\(789\) | −0.571613 | + | 9.12639i | −0.0203500 | + | 0.324908i | ||||
\(790\) | 17.0170 | + | 9.82479i | 0.605439 | + | 0.349550i | ||||
\(791\) | −2.47770 | + | 29.3954i | −0.0880968 | + | 1.04518i | ||||
\(792\) | 12.1342 | + | 9.19965i | 0.431171 | + | 0.326895i | ||||
\(793\) | −12.6398 | + | 16.9031i | −0.448853 | + | 0.600247i | ||||
\(794\) | −9.12011 | − | 5.26550i | −0.323661 | − | 0.186866i | ||||
\(795\) | −6.41703 | − | 31.7789i | −0.227589 | − | 1.12708i | ||||
\(796\) | 4.95816 | 0.175737 | ||||||||
\(797\) | 18.3966 | + | 31.8639i | 0.651642 | + | 1.12868i | 0.982724 | + | 0.185075i | \(0.0592527\pi\) |
−0.331083 | + | 0.943602i | \(0.607414\pi\) | |||||||
\(798\) | −25.3933 | − | 3.75062i | −0.898912 | − | 0.132771i | ||||
\(799\) | −6.17245 | − | 1.65390i | −0.218366 | − | 0.0585109i | ||||
\(800\) | −0.609244 | − | 2.27373i | −0.0215400 | − | 0.0803885i | ||||
\(801\) | −19.7277 | − | 8.03782i | −0.697045 | − | 0.284003i | ||||
\(802\) | −24.5324 | −0.866269 | ||||||||
\(803\) | −55.5079 | −1.95883 | ||||||||
\(804\) | 14.0496 | + | 15.9272i | 0.495492 | + | 0.561708i | ||||
\(805\) | 6.93270 | + | 8.20897i | 0.244345 | + | 0.289328i | ||||
\(806\) | 12.3394 | − | 16.5013i | 0.434636 | − | 0.581235i | ||||
\(807\) | −27.4872 | − | 18.2514i | −0.967597 | − | 0.642478i | ||||
\(808\) | −2.04832 | − | 0.548845i | −0.0720595 | − | 0.0193083i | ||||
\(809\) | 4.19679 | − | 2.42302i | 0.147551 | − | 0.0851888i | −0.424407 | − | 0.905472i | \(-0.639517\pi\) |
0.571958 | + | 0.820283i | \(0.306184\pi\) | |||||||
\(810\) | 3.62492 | − | 14.1842i | 0.127367 | − | 0.498381i | ||||
\(811\) | 8.37484 | − | 8.37484i | 0.294080 | − | 0.294080i | −0.544609 | − | 0.838690i | \(-0.683322\pi\) |
0.838690 | + | 0.544609i | \(0.183322\pi\) | |||||||
\(812\) | 6.48624 | + | 13.7952i | 0.227622 | + | 0.484117i | ||||
\(813\) | 0.436257 | − | 0.0880922i | 0.0153002 | − | 0.00308953i | ||||
\(814\) | −7.21963 | + | 26.9440i | −0.253048 | + | 0.944388i | ||||
\(815\) | 16.5625i | 0.580160i | ||||||||
\(816\) | −0.817673 | + | 1.23145i | −0.0286243 | + | 0.0431093i | ||||
\(817\) | 51.4457 | + | 51.4457i | 1.79986 | + | 1.79986i | ||||
\(818\) | 4.67413 | 0.163427 | ||||||||
\(819\) | 27.0955 | + | 9.21049i | 0.946794 | + | 0.321841i | ||||
\(820\) | 3.49306 | 0.121983 | ||||||||
\(821\) | 16.1934 | + | 16.1934i | 0.565153 | + | 0.565153i | 0.930767 | − | 0.365614i | \(-0.119141\pi\) |
−0.365614 | + | 0.930767i | \(0.619141\pi\) | |||||||
\(822\) | 6.93360 | − | 10.4423i | 0.241837 | − | 0.364216i | ||||
\(823\) | 4.67226i | 0.162865i | 0.996679 | + | 0.0814324i | \(0.0259495\pi\) | ||||
−0.996679 | + | 0.0814324i | \(0.974051\pi\) | |||||||
\(824\) | −0.727662 | + | 2.71567i | −0.0253493 | + | 0.0946049i | ||||
\(825\) | 20.2853 | − | 4.09615i | 0.706243 | − | 0.142610i | ||||
\(826\) | −1.24711 | + | 1.79316i | −0.0433926 | + | 0.0623920i | ||||
\(827\) | 37.4338 | − | 37.4338i | 1.30170 | − | 1.30170i | 0.374455 | − | 0.927245i | \(-0.377830\pi\) |
0.927245 | − | 0.374455i | \(-0.122170\pi\) | |||||||
\(828\) | −6.90291 | + | 2.90627i | −0.239893 | + | 0.101000i | ||||
\(829\) | −5.18298 | + | 2.99240i | −0.180012 | + | 0.103930i | −0.587299 | − | 0.809370i | \(-0.699809\pi\) |
0.407286 | + | 0.913301i | \(0.366475\pi\) | |||||||
\(830\) | 7.07563 | + | 1.89591i | 0.245599 | + | 0.0658080i | ||||
\(831\) | 2.02765 | + | 1.34635i | 0.0703385 | + | 0.0467043i | ||||
\(832\) | 0.426188 | − | 3.58027i | 0.0147754 | − | 0.124124i | ||||
\(833\) | −2.07887 | − | 5.60067i | −0.0720284 | − | 0.194052i | ||||
\(834\) | 5.10922 | + | 5.79200i | 0.176918 | + | 0.200561i | ||||
\(835\) | 18.2208 | 0.630556 | ||||||||
\(836\) | −28.4315 | −0.983322 | ||||||||
\(837\) | 2.19970 | + | 29.6130i | 0.0760327 | + | 1.02357i | ||||
\(838\) | −5.24521 | − | 19.5754i | −0.181193 | − | 0.676220i | ||||
\(839\) | 7.35666 | + | 1.97121i | 0.253980 | + | 0.0680538i | 0.383563 | − | 0.923515i | \(-0.374697\pi\) |
−0.129583 | + | 0.991569i | \(0.541364\pi\) | |||||||
\(840\) | 4.63045 | − | 5.84177i | 0.159766 | − | 0.201560i | ||||
\(841\) | 2.09849 | + | 3.63470i | 0.0723618 | + | 0.125334i | ||||
\(842\) | 9.63126 | 0.331915 | ||||||||
\(843\) | 8.87341 | + | 43.9436i | 0.305616 | + | 1.51350i | ||||
\(844\) | −4.61226 | − | 2.66289i | −0.158760 | − | 0.0916604i | ||||
\(845\) | −10.1153 | + | 18.5706i | −0.347976 | + | 0.638847i | ||||
\(846\) | −13.5710 | + | 17.9000i | −0.466580 | + | 0.615413i | ||||
\(847\) | −35.3486 | + | 16.6202i | −1.21459 | + | 0.571078i | ||||
\(848\) | 9.96523 | + | 5.75343i | 0.342208 | + | 0.197574i | ||||
\(849\) | 2.60159 | − | 41.5370i | 0.0892862 | − | 1.42554i | ||||
\(850\) | 0.519950 | + | 1.94048i | 0.0178341 | + | 0.0665579i | ||||
\(851\) | −9.70169 | − | 9.70169i | −0.332569 | − | 0.332569i | ||||
\(852\) | 19.6189 | − | 17.3062i | 0.672134 | − | 0.592901i | ||||
\(853\) | 19.9037 | + | 19.9037i | 0.681490 | + | 0.681490i | 0.960336 | − | 0.278846i | \(-0.0899518\pi\) |
−0.278846 | + | 0.960336i | \(0.589952\pi\) | |||||||
\(854\) | 5.25090 | − | 14.5706i | 0.179682 | − | 0.498595i | ||||
\(855\) | 10.6068 | + | 25.1930i | 0.362746 | + | 0.861584i | ||||
\(856\) | −8.58491 | − | 8.58491i | −0.293426 | − | 0.293426i | ||||
\(857\) | −24.4329 | + | 42.3191i | −0.834613 | + | 1.44559i | 0.0597321 | + | 0.998214i | \(0.480975\pi\) |
−0.894345 | + | 0.447378i | \(0.852358\pi\) | |||||||
\(858\) | 31.1803 | + | 5.70710i | 1.06448 | + | 0.194837i | ||||
\(859\) | 13.8247 | + | 23.9452i | 0.471694 | + | 0.816999i | 0.999476 | − | 0.0323818i | \(-0.0103092\pi\) |
−0.527781 | + | 0.849380i | \(0.676976\pi\) | |||||||
\(860\) | −20.4086 | + | 5.46846i | −0.695926 | + | 0.186473i | ||||
\(861\) | −5.86687 | − | 7.90030i | −0.199942 | − | 0.269242i | ||||
\(862\) | 4.93248 | − | 2.84777i | 0.168001 | − | 0.0969955i | ||||
\(863\) | −7.11305 | + | 26.5462i | −0.242131 | + | 0.903645i | 0.732673 | + | 0.680581i | \(0.238273\pi\) |
−0.974804 | + | 0.223064i | \(0.928394\pi\) | |||||||
\(864\) | 2.92429 | + | 4.29518i | 0.0994863 | + | 0.146125i | ||||
\(865\) | −13.7373 | − | 13.7373i | −0.467081 | − | 0.467081i | ||||
\(866\) | −32.4829 | − | 8.70376i | −1.10381 | − | 0.295766i | ||||
\(867\) | −15.5898 | + | 23.4789i | −0.529458 | + | 0.797384i | ||||
\(868\) | −5.12609 | + | 14.2242i | −0.173991 | + | 0.482802i | ||||
\(869\) | −15.8691 | − | 59.2244i | −0.538323 | − | 2.00905i | ||||
\(870\) | 8.97964 | − | 13.5237i | 0.304438 | − | 0.458496i | ||||
\(871\) | 41.0527 | + | 16.4103i | 1.39102 | + | 0.556041i | ||||
\(872\) | −6.27346 | − | 3.62198i | −0.212446 | − | 0.122656i | ||||
\(873\) | 6.32093 | + | 45.9522i | 0.213931 | + | 1.55525i | ||||
\(874\) | 6.99217 | − | 12.1108i | 0.236514 | − | 0.409654i | ||||
\(875\) | −5.59489 | − | 31.1512i | −0.189142 | − | 1.05310i | ||||
\(876\) | −17.9538 | − | 6.03650i | −0.606601 | − | 0.203954i | ||||
\(877\) | 8.63015 | + | 32.2082i | 0.291420 | + | 1.08759i | 0.944019 | + | 0.329890i | \(0.107012\pi\) |
−0.652600 | + | 0.757703i | \(0.726322\pi\) | |||||||
\(878\) | 0.990968 | − | 0.990968i | 0.0334436 | − | 0.0334436i | ||||
\(879\) | 16.5340 | − | 14.5849i | 0.557677 | − | 0.491937i | ||||
\(880\) | 4.12832 | − | 7.15047i | 0.139166 | − | 0.241042i | ||||
\(881\) | −9.75282 | + | 16.8924i | −0.328581 | + | 0.569118i | −0.982230 | − | 0.187679i | \(-0.939904\pi\) |
0.653650 | + | 0.756797i | \(0.273237\pi\) | |||||||
\(882\) | −20.9896 | − | 0.661035i | −0.706756 | − | 0.0222582i | ||||
\(883\) | 4.92582i | 0.165767i | 0.996559 | + | 0.0828835i | \(0.0264129\pi\) | ||||
−0.996559 | + | 0.0828835i | \(0.973587\pi\) | |||||||
\(884\) | −0.363723 | + | 3.05553i | −0.0122333 | + | 0.102769i | ||||
\(885\) | 2.32142 | + | 0.145397i | 0.0780335 | + | 0.00488748i | ||||
\(886\) | −18.0293 | − | 4.83095i | −0.605708 | − | 0.162299i | ||||
\(887\) | 35.7457i | 1.20022i | 0.799916 | + | 0.600112i | \(0.204877\pi\) | ||||
−0.799916 | + | 0.600112i | \(0.795123\pi\) | |||||||
\(888\) | −5.26532 | + | 7.92977i | −0.176693 | + | 0.266106i | ||||
\(889\) | −18.9405 | + | 8.90546i | −0.635244 | + | 0.298680i | ||||
\(890\) | −2.98953 | + | 11.1571i | −0.100209 | + | 0.373986i | ||||
\(891\) | −39.2944 | + | 23.2982i | −1.31641 | + | 0.780519i | ||||
\(892\) | −10.1742 | + | 2.72617i | −0.340658 | + | 0.0912789i | ||||
\(893\) | − | 41.9410i | − | 1.40350i | ||||||
\(894\) | 19.0494 | − | 9.46289i | 0.637109 | − | 0.316486i | ||||
\(895\) | 26.8650 | − | 7.19847i | 0.897999 | − | 0.240618i | ||||
\(896\) | 0.467704 | + | 2.60408i | 0.0156249 | + | 0.0869963i | ||||
\(897\) | −10.0992 | + | 11.8782i | −0.337203 | + | 0.396600i | ||||
\(898\) | −7.08641 | − | 12.2740i | −0.236477 | − | 0.409590i | ||||
\(899\) | −8.52198 | + | 31.8045i | −0.284224 | + | 1.06074i | ||||
\(900\) | 7.00662 | + | 0.881149i | 0.233554 | + | 0.0293716i | ||||
\(901\) | −8.50467 | − | 4.91017i | −0.283332 | − | 0.163582i | ||||
\(902\) | −7.70717 | − | 7.70717i | −0.256621 | − | 0.256621i | ||||
\(903\) | 46.6459 | + | 36.9736i | 1.55228 | + | 1.23040i | ||||
\(904\) | −2.88578 | + | 10.7699i | −0.0959797 | + | 0.358201i | ||||
\(905\) | 16.3024 | + | 4.36822i | 0.541910 | + | 0.145204i | ||||
\(906\) | −0.0878338 | + | 0.0436318i | −0.00291808 | + | 0.00144957i | ||||
\(907\) | −31.7518 | + | 18.3319i | −1.05430 | + | 0.608701i | −0.923851 | − | 0.382753i | \(-0.874976\pi\) |
−0.130451 | + | 0.991455i | \(0.541643\pi\) | |||||||
\(908\) | −2.85759 | + | 2.85759i | −0.0948324 | + | 0.0948324i | ||||
\(909\) | 3.84345 | − | 5.06946i | 0.127479 | − | 0.168143i | ||||
\(910\) | 3.12192 | − | 15.2002i | 0.103491 | − | 0.503881i | ||||
\(911\) | 30.8260i | 1.02131i | 0.859786 | + | 0.510655i | \(0.170597\pi\) | ||||
−0.859786 | + | 0.510655i | \(0.829403\pi\) | |||||||
\(912\) | −9.19601 | − | 3.09193i | −0.304510 | − | 0.102384i | ||||
\(913\) | −11.4286 | − | 19.7950i | −0.378233 | − | 0.655119i | ||||
\(914\) | −1.98413 | −0.0656291 | ||||||||
\(915\) | −16.1668 | + | 3.26452i | −0.534459 | + | 0.107922i | ||||
\(916\) | 5.91603 | + | 1.58519i | 0.195471 | + | 0.0523763i | ||||
\(917\) | −1.69418 | + | 20.0997i | −0.0559468 | + | 0.663752i | ||||
\(918\) | −2.49569 | − | 3.66565i | −0.0823699 | − | 0.120985i | ||||
\(919\) | −12.4035 | + | 21.4835i | −0.409154 | + | 0.708676i | −0.994795 | − | 0.101895i | \(-0.967510\pi\) |
0.585641 | + | 0.810571i | \(0.300843\pi\) | |||||||
\(920\) | 2.03056 | + | 3.51704i | 0.0669457 | + | 0.115953i | ||||
\(921\) | 16.1099 | − | 3.25302i | 0.530838 | − | 0.107191i | ||||
\(922\) | −11.6521 | + | 6.72737i | −0.383743 | + | 0.221554i | ||||
\(923\) | 20.2140 | − | 50.5683i | 0.665353 | − | 1.66448i | ||||
\(924\) | −23.1061 | + | 2.67268i | −0.760136 | + | 0.0879249i | ||||
\(925\) | 3.34816 | + | 12.4955i | 0.110087 | + | 0.410850i | ||||
\(926\) | − | 36.2674i | − | 1.19182i | ||||||
\(927\) | −6.72112 | − | 5.09567i | −0.220750 | − | 0.167364i | ||||
\(928\) | 1.49123 | + | 5.56536i | 0.0489521 | + | 0.182692i | ||||
\(929\) | 11.2124 | − | 3.00436i | 0.367868 | − | 0.0985698i | −0.0701494 | − | 0.997536i | \(-0.522348\pi\) |
0.438017 | + | 0.898967i | \(0.355681\pi\) | |||||||
\(930\) | 15.7825 | − | 3.18693i | 0.517530 | − | 0.104503i | ||||
\(931\) | 31.9752 | − | 22.6934i | 1.04794 | − | 0.743745i | ||||
\(932\) | −10.8939 | + | 6.28957i | −0.356840 | + | 0.206022i | ||||
\(933\) | 10.2656 | + | 20.6653i | 0.336079 | + | 0.676551i | ||||
\(934\) | −2.94328 | + | 10.9845i | −0.0963071 | + | 0.359423i | ||||
\(935\) | −3.52325 | + | 6.10245i | −0.115223 | + | 0.199572i | ||||
\(936\) | 9.46446 | + | 5.23680i | 0.309355 | + | 0.171170i | ||||
\(937\) | 32.6123 | 1.06540 | 0.532698 | − | 0.846305i | \(-0.321178\pi\) | ||||
0.532698 | + | 0.846305i | \(0.321178\pi\) | |||||||
\(938\) | −32.3274 | − | 2.72484i | −1.05553 | − | 0.0889691i | ||||
\(939\) | 44.8461 | + | 2.80885i | 1.46350 | + | 0.0916633i | ||||
\(940\) | 10.5481 | + | 6.08995i | 0.344041 | + | 0.198632i | ||||
\(941\) | −3.59265 | + | 0.962648i | −0.117117 | + | 0.0313814i | −0.316902 | − | 0.948458i | \(-0.602642\pi\) |
0.199784 | + | 0.979840i | \(0.435976\pi\) | |||||||
\(942\) | −2.24399 | + | 6.67407i | −0.0731131 | + | 0.217453i | ||||
\(943\) | 5.17842 | − | 1.38755i | 0.168633 | − | 0.0451849i | ||||
\(944\) | −0.583751 | + | 0.583751i | −0.0189995 | + | 0.0189995i | ||||
\(945\) | 10.9884 | + | 19.4772i | 0.357452 | + | 0.633593i | ||||
\(946\) | 57.0956 | + | 32.9642i | 1.85634 | + | 1.07176i | ||||
\(947\) | 17.7392 | − | 17.7392i | 0.576446 | − | 0.576446i | −0.357476 | − | 0.933922i | \(-0.616363\pi\) |
0.933922 | + | 0.357476i | \(0.116363\pi\) | |||||||
\(948\) | 1.30788 | − | 20.8816i | 0.0424779 | − | 0.678203i | ||||
\(949\) | −39.0254 | + | 5.63170i | −1.26682 | + | 0.182813i | ||||
\(950\) | −11.4188 | + | 6.59266i | −0.370475 | + | 0.213894i | ||||
\(951\) | −6.27527 | − | 7.11387i | −0.203489 | − | 0.230683i | ||||
\(952\) | −0.399155 | − | 2.22241i | −0.0129367 | − | 0.0720289i | ||||
\(953\) | 7.75491 | + | 13.4319i | 0.251206 | + | 0.435102i | 0.963858 | − | 0.266416i | \(-0.0858394\pi\) |
−0.712652 | + | 0.701518i | \(0.752506\pi\) | |||||||
\(954\) | −27.2647 | + | 21.1732i | −0.882728 | + | 0.685508i | ||||
\(955\) | 12.0539 | − | 12.0539i | 0.390056 | − | 0.390056i | ||||
\(956\) | −14.2838 | + | 14.2838i | −0.461972 | + | 0.461972i | ||||
\(957\) | −49.6518 | + | 10.0261i | −1.60502 | + | 0.324097i | ||||
\(958\) | −2.30496 | − | 3.99230i | −0.0744697 | − | 0.128985i | ||||
\(959\) | 3.38470 | + | 18.8454i | 0.109298 | + | 0.608548i | ||||
\(960\) | 2.11290 | − | 1.86382i | 0.0681935 | − | 0.0601547i | ||||
\(961\) | −1.43588 | + | 0.829003i | −0.0463186 | + | 0.0267420i | ||||
\(962\) | −2.34216 | + | 19.6758i | −0.0755142 | + | 0.634372i | ||||
\(963\) | 33.5688 | − | 14.1332i | 1.08174 | − | 0.455436i | ||||
\(964\) | 16.7231 | − | 16.7231i | 0.538614 | − | 0.538614i | ||||
\(965\) | 4.30023 | + | 2.48274i | 0.138429 | + | 0.0799222i | ||||
\(966\) | 4.54404 | − | 10.4997i | 0.146202 | − | 0.337822i | ||||
\(967\) | −36.0785 | + | 36.0785i | −1.16021 | + | 1.16021i | −0.175775 | + | 0.984430i | \(0.556243\pi\) |
−0.984430 | + | 0.175775i | \(0.943757\pi\) | |||||||
\(968\) | −14.2606 | + | 3.82111i | −0.458353 | + | 0.122815i | ||||
\(969\) | 7.84819 | + | 2.63876i | 0.252120 | + | 0.0847691i | ||||
\(970\) | 24.2940 | − | 6.50956i | 0.780033 | − | 0.209009i | ||||
\(971\) | −49.7321 | − | 28.7128i | −1.59598 | − | 0.921439i | −0.992251 | − | 0.124248i | \(-0.960348\pi\) |
−0.603727 | − | 0.797191i | \(-0.706318\pi\) | |||||||
\(972\) | −15.2433 | + | 3.26241i | −0.488928 | + | 0.104642i | ||||
\(973\) | −11.7561 | − | 0.990902i | −0.376882 | − | 0.0317669i | ||||
\(974\) | 9.27311 | 0.297130 | ||||||||
\(975\) | 13.8462 | − | 4.93794i | 0.443433 | − | 0.158140i | ||||
\(976\) | 2.92693 | − | 5.06959i | 0.0936888 | − | 0.162274i | ||||
\(977\) | −2.12769 | + | 7.94066i | −0.0680710 | + | 0.254044i | −0.991573 | − | 0.129549i | \(-0.958647\pi\) |
0.923502 | + | 0.383594i | \(0.125314\pi\) | |||||||
\(978\) | 15.7941 | − | 7.84579i | 0.505040 | − | 0.250881i | ||||
\(979\) | 31.2133 | − | 18.0210i | 0.997583 | − | 0.575955i | ||||
\(980\) | 1.06446 | + | 11.3368i | 0.0340030 | + | 0.362142i | ||||
\(981\) | 17.1641 | − | 13.3293i | 0.548007 | − | 0.425571i | ||||
\(982\) | 26.9832 | − | 7.23014i | 0.861070 | − | 0.230723i | ||||
\(983\) | 12.4153 | + | 46.3345i | 0.395986 | + | 1.47784i | 0.820094 | + | 0.572228i | \(0.193921\pi\) |
−0.424108 | + | 0.905611i | \(0.639412\pi\) | |||||||
\(984\) | −1.65469 | − | 3.33100i | −0.0527496 | − | 0.106188i | ||||
\(985\) | − | 36.0401i | − | 1.14833i | ||||||
\(986\) | −1.27267 | − | 4.74967i | −0.0405301 | − | 0.151260i | ||||
\(987\) | −3.94264 | − | 34.0853i | −0.125496 | − | 1.08495i | ||||
\(988\) | −19.9890 | + | 2.88459i | −0.635935 | + | 0.0917709i | ||||
\(989\) | −28.0832 | + | 16.2138i | −0.892993 | + | 0.515570i | ||||
\(990\) | 15.1926 | + | 19.5636i | 0.482854 | + | 0.621771i | ||||
\(991\) | −1.43711 | − | 2.48916i | −0.0456515 | − | 0.0790707i | 0.842297 | − | 0.539014i | \(-0.181203\pi\) |
−0.887948 | + | 0.459943i | \(0.847870\pi\) | |||||||
\(992\) | −2.85736 | + | 4.94909i | −0.0907212 | + | 0.157134i | ||||
\(993\) | −3.97858 | − | 1.33770i | −0.126257 | − | 0.0424506i | ||||
\(994\) | −3.35643 | + | 39.8207i | −0.106460 | + | 1.26303i | ||||
\(995\) | 7.79049 | + | 2.08746i | 0.246975 | + | 0.0661768i | ||||
\(996\) | −1.54383 | − | 7.64546i | −0.0489180 | − | 0.242256i | ||||
\(997\) | 15.3740 | 0.486899 | 0.243449 | − | 0.969914i | \(-0.421721\pi\) | ||||
0.243449 | + | 0.969914i | \(0.421721\pi\) | |||||||
\(998\) | −2.53067 | − | 4.38324i | −0.0801069 | − | 0.138749i | ||||
\(999\) | −16.0707 | − | 23.6046i | −0.508455 | − | 0.746816i |
(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 | 546.2.ch.a.305.33 | yes | 152 | |
3.2 | odd | 2 | inner | 546.2.ch.a.305.1 | yes | 152 | |
7.2 | even | 3 | 546.2.bw.a.149.32 | yes | 152 | ||
13.11 | odd | 12 | 546.2.bw.a.11.13 | ✓ | 152 | ||
21.2 | odd | 6 | 546.2.bw.a.149.13 | yes | 152 | ||
39.11 | even | 12 | 546.2.bw.a.11.32 | yes | 152 | ||
91.37 | odd | 12 | inner | 546.2.ch.a.401.1 | yes | 152 | |
273.128 | even | 12 | inner | 546.2.ch.a.401.33 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.13 | ✓ | 152 | 13.11 | odd | 12 | ||
546.2.bw.a.11.32 | yes | 152 | 39.11 | even | 12 | ||
546.2.bw.a.149.13 | yes | 152 | 21.2 | odd | 6 | ||
546.2.bw.a.149.32 | yes | 152 | 7.2 | even | 3 | ||
546.2.ch.a.305.1 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.ch.a.305.33 | yes | 152 | 1.1 | even | 1 | trivial | |
546.2.ch.a.401.1 | yes | 152 | 91.37 | odd | 12 | inner | |
546.2.ch.a.401.33 | yes | 152 | 273.128 | even | 12 | inner |