Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 179.42 | ||
Character | \(\chi\) | \(=\) | 384.179 |
Dual form | 384.2.w.a.251.42 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{31}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.726644 | − | 1.21326i | 0.513815 | − | 0.857901i | ||||
\(3\) | −0.594224 | − | 1.62693i | −0.343075 | − | 0.939308i | ||||
\(4\) | −0.943978 | − | 1.76321i | −0.471989 | − | 0.881604i | ||||
\(5\) | −0.0821559 | − | 0.834143i | −0.0367412 | − | 0.373040i | −0.995920 | − | 0.0902398i | \(-0.971237\pi\) |
0.959179 | − | 0.282800i | \(-0.0912634\pi\) | |||||||
\(6\) | −2.40567 | − | 0.461252i | −0.982111 | − | 0.188305i | ||||
\(7\) | 0.978435 | + | 0.653770i | 0.369814 | + | 0.247102i | 0.726565 | − | 0.687098i | \(-0.241116\pi\) |
−0.356751 | + | 0.934199i | \(0.616116\pi\) | |||||||
\(8\) | −2.82516 | − | 0.135938i | −0.998844 | − | 0.0480615i | ||||
\(9\) | −2.29380 | + | 1.93352i | −0.764598 | + | 0.644507i | ||||
\(10\) | −1.07173 | − | 0.506449i | −0.338910 | − | 0.160153i | ||||
\(11\) | −1.45799 | − | 2.72770i | −0.439599 | − | 0.822433i | 0.560384 | − | 0.828233i | \(-0.310654\pi\) |
−0.999983 | + | 0.00580043i | \(0.998154\pi\) | |||||||
\(12\) | −2.30768 | + | 2.58353i | −0.666170 | + | 0.745800i | ||||
\(13\) | 0.457931 | − | 4.64945i | 0.127007 | − | 1.28953i | −0.694569 | − | 0.719426i | \(-0.744405\pi\) |
0.821576 | − | 0.570099i | \(-0.193095\pi\) | |||||||
\(14\) | 1.50416 | − | 0.712034i | 0.402005 | − | 0.190299i | ||||
\(15\) | −1.30827 | + | 0.629330i | −0.337794 | + | 0.162492i | ||||
\(16\) | −2.21781 | + | 3.32886i | −0.554453 | + | 0.832215i | ||||
\(17\) | −2.49467 | + | 6.02266i | −0.605046 | + | 1.46071i | 0.263282 | + | 0.964719i | \(0.415195\pi\) |
−0.868328 | + | 0.495991i | \(0.834805\pi\) | |||||||
\(18\) | 0.679083 | + | 4.18794i | 0.160061 | + | 0.987107i | ||||
\(19\) | 3.16631 | − | 2.59852i | 0.726402 | − | 0.596142i | −0.196807 | − | 0.980442i | \(-0.563057\pi\) |
0.923208 | + | 0.384300i | \(0.125557\pi\) | |||||||
\(20\) | −1.39322 | + | 0.932271i | −0.311532 | + | 0.208462i | ||||
\(21\) | 0.482227 | − | 1.98033i | 0.105230 | − | 0.432143i | ||||
\(22\) | −4.36883 | − | 0.213156i | −0.931439 | − | 0.0454451i | ||||
\(23\) | 0.368921 | − | 1.85469i | 0.0769253 | − | 0.386730i | −0.923072 | − | 0.384626i | \(-0.874330\pi\) |
0.999998 | − | 0.00210361i | \(-0.000669600\pi\) | |||||||
\(24\) | 1.45762 | + | 4.67711i | 0.297534 | + | 0.954711i | ||||
\(25\) | 4.21488 | − | 0.838392i | 0.842976 | − | 0.167678i | ||||
\(26\) | −5.30822 | − | 3.93408i | −1.04103 | − | 0.771537i | ||||
\(27\) | 4.50873 | + | 2.58290i | 0.867705 | + | 0.497079i | ||||
\(28\) | 0.229111 | − | 2.34233i | 0.0432979 | − | 0.442659i | ||||
\(29\) | −3.90338 | + | 7.30270i | −0.724839 | + | 1.35608i | 0.201538 | + | 0.979481i | \(0.435406\pi\) |
−0.926377 | + | 0.376597i | \(0.877094\pi\) | |||||||
\(30\) | −0.187110 | + | 2.04457i | −0.0341615 | + | 0.373285i | ||||
\(31\) | 0.0671033 | + | 0.0671033i | 0.0120521 | + | 0.0120521i | 0.713107 | − | 0.701055i | \(-0.247287\pi\) |
−0.701055 | + | 0.713107i | \(0.747287\pi\) | |||||||
\(32\) | 2.42720 | + | 5.10967i | 0.429072 | + | 0.903270i | ||||
\(33\) | −3.57140 | + | 3.99291i | −0.621702 | + | 0.695076i | ||||
\(34\) | 5.49429 | + | 7.40300i | 0.942263 | + | 1.26960i | ||||
\(35\) | 0.464953 | − | 0.869866i | 0.0785914 | − | 0.147034i | ||||
\(36\) | 5.57449 | + | 2.21924i | 0.929082 | + | 0.369873i | ||||
\(37\) | −0.480316 | − | 0.394185i | −0.0789635 | − | 0.0648037i | 0.594084 | − | 0.804403i | \(-0.297515\pi\) |
−0.673047 | + | 0.739600i | \(0.735015\pi\) | |||||||
\(38\) | −0.851894 | − | 5.72975i | −0.138195 | − | 0.929488i | ||||
\(39\) | −7.83644 | + | 2.01779i | −1.25483 | + | 0.323106i | ||||
\(40\) | 0.118712 | + | 2.36775i | 0.0187699 | + | 0.374375i | ||||
\(41\) | 1.26074 | − | 6.33816i | 0.196894 | − | 0.989854i | −0.748304 | − | 0.663356i | \(-0.769132\pi\) |
0.945198 | − | 0.326498i | \(-0.105868\pi\) | |||||||
\(42\) | −2.05224 | − | 2.02406i | −0.316667 | − | 0.312319i | ||||
\(43\) | 3.03253 | − | 9.99691i | 0.462456 | − | 1.52451i | −0.347303 | − | 0.937753i | \(-0.612903\pi\) |
0.809760 | − | 0.586762i | \(-0.199597\pi\) | |||||||
\(44\) | −3.43320 | + | 5.14562i | −0.517574 | + | 0.775732i | ||||
\(45\) | 1.80128 | + | 1.75450i | 0.268519 | + | 0.261546i | ||||
\(46\) | −1.98214 | − | 1.79529i | −0.292250 | − | 0.264702i | ||||
\(47\) | 4.56889 | − | 11.0303i | 0.666441 | − | 1.60893i | −0.121080 | − | 0.992643i | \(-0.538636\pi\) |
0.787521 | − | 0.616288i | \(-0.211364\pi\) | |||||||
\(48\) | 6.73370 | + | 1.63013i | 0.971925 | + | 0.235289i | ||||
\(49\) | −2.14886 | − | 5.18781i | −0.306980 | − | 0.741116i | ||||
\(50\) | 2.04553 | − | 5.72294i | 0.289282 | − | 0.809346i | ||||
\(51\) | 11.2808 | + | 0.479837i | 1.57963 | + | 0.0671906i | ||||
\(52\) | −8.63023 | + | 3.58155i | −1.19680 | + | 0.496672i | ||||
\(53\) | −0.544156 | − | 1.01805i | −0.0747456 | − | 0.139839i | 0.841772 | − | 0.539833i | \(-0.181512\pi\) |
−0.916518 | + | 0.399993i | \(0.869012\pi\) | |||||||
\(54\) | 6.40995 | − | 3.59339i | 0.872284 | − | 0.488999i | ||||
\(55\) | −2.15551 | + | 1.44027i | −0.290649 | + | 0.194205i | ||||
\(56\) | −2.67536 | − | 1.98001i | −0.357510 | − | 0.264590i | ||||
\(57\) | −6.10911 | − | 3.60726i | −0.809172 | − | 0.477793i | ||||
\(58\) | 6.02368 | + | 10.0423i | 0.790948 | + | 1.31861i | ||||
\(59\) | −0.557902 | − | 5.66447i | −0.0726326 | − | 0.737452i | −0.960672 | − | 0.277685i | \(-0.910433\pi\) |
0.888040 | − | 0.459767i | \(-0.152067\pi\) | |||||||
\(60\) | 2.34462 | + | 1.71268i | 0.302689 | + | 0.221107i | ||||
\(61\) | 2.81803 | + | 9.28979i | 0.360812 | + | 1.18944i | 0.930102 | + | 0.367300i | \(0.119718\pi\) |
−0.569291 | + | 0.822136i | \(0.692782\pi\) | |||||||
\(62\) | 0.130174 | − | 0.0326533i | 0.0165321 | − | 0.00414697i | ||||
\(63\) | −3.50841 | + | 0.392211i | −0.442018 | + | 0.0494140i | ||||
\(64\) | 7.96304 | + | 0.768095i | 0.995380 | + | 0.0960118i | ||||
\(65\) | −3.91593 | −0.485711 | ||||||||
\(66\) | 2.24928 | + | 7.23445i | 0.276867 | + | 0.890499i | ||||
\(67\) | 8.24903 | − | 2.50231i | 1.00778 | − | 0.305706i | 0.257108 | − | 0.966383i | \(-0.417230\pi\) |
0.750671 | + | 0.660676i | \(0.229730\pi\) | |||||||
\(68\) | 12.9741 | − | 1.28664i | 1.57334 | − | 0.156028i | ||||
\(69\) | −3.23667 | + | 0.501894i | −0.389649 | + | 0.0604209i | ||||
\(70\) | −0.717515 | − | 1.19619i | −0.0857594 | − | 0.142972i | ||||
\(71\) | 4.69091 | + | 3.13437i | 0.556709 | + | 0.371981i | 0.801867 | − | 0.597502i | \(-0.203840\pi\) |
−0.245159 | + | 0.969483i | \(0.578840\pi\) | |||||||
\(72\) | 6.74318 | − | 5.15069i | 0.794691 | − | 0.607014i | ||||
\(73\) | 0.764817 | + | 1.14463i | 0.0895151 | + | 0.133969i | 0.873525 | − | 0.486780i | \(-0.161829\pi\) |
−0.784009 | + | 0.620749i | \(0.786829\pi\) | |||||||
\(74\) | −0.827266 | + | 0.296314i | −0.0961678 | + | 0.0344458i | ||||
\(75\) | −3.86859 | − | 6.35912i | −0.446706 | − | 0.734288i | ||||
\(76\) | −7.57067 | − | 3.12992i | −0.868415 | − | 0.359026i | ||||
\(77\) | 0.356742 | − | 3.62207i | 0.0406546 | − | 0.412773i | ||||
\(78\) | −3.24620 | + | 10.9738i | −0.367560 | + | 1.24254i | ||||
\(79\) | −5.43599 | + | 2.25166i | −0.611597 | + | 0.253332i | −0.666911 | − | 0.745137i | \(-0.732384\pi\) |
0.0553142 | + | 0.998469i | \(0.482384\pi\) | |||||||
\(80\) | 2.95895 | + | 1.57649i | 0.330821 | + | 0.176257i | ||||
\(81\) | 1.52299 | − | 8.87020i | 0.169222 | − | 0.985578i | ||||
\(82\) | −6.77369 | − | 6.13518i | −0.748029 | − | 0.677517i | ||||
\(83\) | −5.05645 | + | 4.14972i | −0.555018 | + | 0.455491i | −0.869613 | − | 0.493735i | \(-0.835631\pi\) |
0.314595 | + | 0.949226i | \(0.398131\pi\) | |||||||
\(84\) | −3.94695 | + | 1.01912i | −0.430647 | + | 0.111195i | ||||
\(85\) | 5.22871 | + | 1.58611i | 0.567134 | + | 0.172038i | ||||
\(86\) | −9.92524 | − | 10.9434i | −1.07027 | − | 1.18006i | ||||
\(87\) | 14.2005 | + | 2.01107i | 1.52245 | + | 0.215610i | ||||
\(88\) | 3.74824 | + | 7.90438i | 0.399564 | + | 0.842610i | ||||
\(89\) | 5.57606 | − | 1.10915i | 0.591061 | − | 0.117569i | 0.109507 | − | 0.993986i | \(-0.465073\pi\) |
0.481553 | + | 0.876417i | \(0.340073\pi\) | |||||||
\(90\) | 3.43755 | − | 0.910516i | 0.362350 | − | 0.0959769i | ||||
\(91\) | 3.48772 | − | 4.24980i | 0.365613 | − | 0.445501i | ||||
\(92\) | −3.61846 | + | 1.10030i | −0.377251 | + | 0.114714i | ||||
\(93\) | 0.0692979 | − | 0.149047i | 0.00718586 | − | 0.0154554i | ||||
\(94\) | −10.0626 | − | 13.5583i | −1.03788 | − | 1.39843i | ||||
\(95\) | −2.42767 | − | 2.42767i | −0.249074 | − | 0.249074i | ||||
\(96\) | 6.87077 | − | 6.98517i | 0.701245 | − | 0.712921i | ||||
\(97\) | −6.43546 | + | 6.43546i | −0.653422 | + | 0.653422i | −0.953815 | − | 0.300394i | \(-0.902882\pi\) |
0.300394 | + | 0.953815i | \(0.402882\pi\) | |||||||
\(98\) | −7.85560 | − | 1.16257i | −0.793536 | − | 0.117438i | ||||
\(99\) | 8.61839 | + | 3.43774i | 0.866181 | + | 0.345506i | ||||
\(100\) | −5.45702 | − | 6.64029i | −0.545702 | − | 0.664029i | ||||
\(101\) | 5.85273 | + | 4.80321i | 0.582368 | + | 0.477937i | 0.878848 | − | 0.477102i | \(-0.158313\pi\) |
−0.296480 | + | 0.955039i | \(0.595813\pi\) | |||||||
\(102\) | 8.77931 | − | 13.3379i | 0.869281 | − | 1.32065i | ||||
\(103\) | 3.06879 | + | 15.4279i | 0.302377 | + | 1.52015i | 0.771046 | + | 0.636779i | \(0.219734\pi\) |
−0.468669 | + | 0.883374i | \(0.655266\pi\) | |||||||
\(104\) | −1.92577 | + | 13.0732i | −0.188837 | + | 1.28193i | ||||
\(105\) | −1.69150 | − | 0.239550i | −0.165073 | − | 0.0233777i | ||||
\(106\) | −1.63056 | − | 0.0795552i | −0.158374 | − | 0.00772709i | ||||
\(107\) | 0.260727 | − | 0.859503i | 0.0252055 | − | 0.0830913i | −0.943435 | − | 0.331557i | \(-0.892426\pi\) |
0.968641 | + | 0.248465i | \(0.0799262\pi\) | |||||||
\(108\) | 0.298047 | − | 10.3880i | 0.0286796 | − | 0.999589i | ||||
\(109\) | −5.98137 | − | 7.28832i | −0.572912 | − | 0.698095i | 0.403262 | − | 0.915084i | \(-0.367876\pi\) |
−0.976174 | + | 0.216990i | \(0.930376\pi\) | |||||||
\(110\) | 0.181123 | + | 3.66174i | 0.0172694 | + | 0.349134i | ||||
\(111\) | −0.355896 | + | 1.01568i | −0.0337802 | + | 0.0964036i | ||||
\(112\) | −4.34629 | + | 1.80714i | −0.410686 | + | 0.170758i | ||||
\(113\) | 3.84909 | + | 9.29253i | 0.362092 | + | 0.874167i | 0.994994 | + | 0.0999354i | \(0.0318636\pi\) |
−0.632902 | + | 0.774232i | \(0.718136\pi\) | |||||||
\(114\) | −8.81567 | + | 4.79072i | −0.825663 | + | 0.448692i | ||||
\(115\) | −1.57739 | − | 0.155359i | −0.147092 | − | 0.0144873i | ||||
\(116\) | 16.5609 | − | 0.0111224i | 1.53764 | − | 0.00103269i | ||||
\(117\) | 7.93941 | + | 11.5503i | 0.733999 | + | 1.06783i | ||||
\(118\) | −7.27785 | − | 3.43918i | −0.669980 | − | 0.316602i | ||||
\(119\) | −6.37830 | + | 4.26185i | −0.584698 | + | 0.390683i | ||||
\(120\) | 3.78163 | − | 1.60011i | 0.345214 | − | 0.146070i | ||||
\(121\) | 0.796647 | − | 1.19227i | 0.0724224 | − | 0.108388i | ||||
\(122\) | 13.3186 | + | 3.33138i | 1.20581 | + | 0.301609i | ||||
\(123\) | −11.0609 | + | 1.71515i | −0.997327 | + | 0.154650i | ||||
\(124\) | 0.0549731 | − | 0.181661i | 0.00493673 | − | 0.0163137i | ||||
\(125\) | −2.26217 | − | 7.45737i | −0.202335 | − | 0.667008i | ||||
\(126\) | −2.07351 | + | 4.54159i | −0.184723 | + | 0.404597i | ||||
\(127\) | 10.0755i | 0.894053i | 0.894521 | + | 0.447027i | \(0.147517\pi\) | ||||
−0.894521 | + | 0.447027i | \(0.852483\pi\) | |||||||
\(128\) | 6.71819 | − | 9.10307i | 0.593810 | − | 0.804606i | ||||
\(129\) | −18.0663 | + | 1.00670i | −1.59065 | + | 0.0886346i | ||||
\(130\) | −2.84548 | + | 4.75102i | −0.249566 | + | 0.416692i | ||||
\(131\) | 16.4402 | − | 4.98709i | 1.43639 | − | 0.435724i | 0.526359 | − | 0.850263i | \(-0.323557\pi\) |
0.910032 | + | 0.414538i | \(0.136057\pi\) | |||||||
\(132\) | 10.4117 | + | 2.52792i | 0.906218 | + | 0.220027i | ||||
\(133\) | 4.79687 | − | 0.472450i | 0.415941 | − | 0.0409666i | ||||
\(134\) | 2.95816 | − | 11.8265i | 0.255546 | − | 1.02165i | ||||
\(135\) | 1.78409 | − | 3.97313i | 0.153550 | − | 0.341952i | ||||
\(136\) | 7.86654 | − | 16.6759i | 0.674550 | − | 1.42994i | ||||
\(137\) | −0.257431 | − | 0.385273i | −0.0219938 | − | 0.0329161i | 0.820310 | − | 0.571919i | \(-0.193801\pi\) |
−0.842304 | + | 0.539003i | \(0.818801\pi\) | |||||||
\(138\) | −1.74298 | + | 4.29161i | −0.148372 | + | 0.365326i | ||||
\(139\) | −8.22848 | + | 4.39822i | −0.697931 | + | 0.373052i | −0.781889 | − | 0.623417i | \(-0.785744\pi\) |
0.0839582 | + | 0.996469i | \(0.473244\pi\) | |||||||
\(140\) | −1.97266 | + | 0.00132485i | −0.166720 | + | 0.000111971i | ||||
\(141\) | −20.6604 | − | 0.878803i | −1.73992 | − | 0.0740085i | ||||
\(142\) | 7.21141 | − | 3.41371i | 0.605168 | − | 0.286472i | ||||
\(143\) | −13.3500 | + | 5.52974i | −1.11638 | + | 0.462420i | ||||
\(144\) | −1.34922 | − | 11.9239i | −0.112435 | − | 0.993659i | ||||
\(145\) | 6.41218 | + | 2.65601i | 0.532503 | + | 0.220570i | ||||
\(146\) | 1.94448 | − | 0.0961806i | 0.160926 | − | 0.00795997i | ||||
\(147\) | −7.16330 | + | 6.57877i | −0.590819 | + | 0.542608i | ||||
\(148\) | −0.241623 | + | 1.21900i | −0.0198613 | + | 0.100201i | ||||
\(149\) | −6.73706 | − | 2.04366i | −0.551921 | − | 0.167424i | 0.00199174 | − | 0.999998i | \(-0.499366\pi\) |
−0.553913 | + | 0.832575i | \(0.686866\pi\) | |||||||
\(150\) | −10.5263 | + | 0.0727720i | −0.859471 | + | 0.00594181i | ||||
\(151\) | −0.323124 | − | 0.0642734i | −0.0262955 | − | 0.00523049i | 0.181925 | − | 0.983312i | \(-0.441767\pi\) |
−0.208221 | + | 0.978082i | \(0.566767\pi\) | |||||||
\(152\) | −9.29857 | + | 6.91082i | −0.754214 | + | 0.560542i | ||||
\(153\) | −5.92268 | − | 18.6382i | −0.478821 | − | 1.50681i | ||||
\(154\) | −4.13527 | − | 3.06477i | −0.333229 | − | 0.246966i | ||||
\(155\) | 0.0504608 | − | 0.0614867i | 0.00405311 | − | 0.00493873i | ||||
\(156\) | 10.9552 | + | 11.9125i | 0.877119 | + | 0.953765i | ||||
\(157\) | 19.9269 | + | 10.6511i | 1.59034 | + | 0.850054i | 0.999049 | + | 0.0435948i | \(0.0138811\pi\) |
0.591290 | + | 0.806459i | \(0.298619\pi\) | |||||||
\(158\) | −1.21819 | + | 8.23140i | −0.0969139 | + | 0.654855i | ||||
\(159\) | −1.33294 | + | 1.49025i | −0.105709 | + | 0.118185i | ||||
\(160\) | 4.06279 | − | 2.44442i | 0.321191 | − | 0.193248i | ||||
\(161\) | 1.57351 | − | 1.57351i | 0.124010 | − | 0.124010i | ||||
\(162\) | −9.65515 | − | 8.29326i | −0.758580 | − | 0.651580i | ||||
\(163\) | 9.84381 | + | 5.26162i | 0.771026 | + | 0.412122i | 0.809487 | − | 0.587138i | \(-0.199745\pi\) |
−0.0384605 | + | 0.999260i | \(0.512245\pi\) | |||||||
\(164\) | −12.3656 | + | 3.76013i | −0.965591 | + | 0.293617i | ||||
\(165\) | 3.62407 | + | 2.65102i | 0.282133 | + | 0.206382i | ||||
\(166\) | 1.36044 | + | 9.15014i | 0.105590 | + | 0.710188i | ||||
\(167\) | 0.657098 | + | 3.30345i | 0.0508477 | + | 0.255629i | 0.997845 | − | 0.0656122i | \(-0.0209000\pi\) |
−0.946997 | + | 0.321241i | \(0.895900\pi\) | |||||||
\(168\) | −1.63157 | + | 5.52919i | −0.125878 | + | 0.426587i | ||||
\(169\) | −8.65748 | − | 1.72208i | −0.665960 | − | 0.132468i | ||||
\(170\) | 5.72377 | − | 5.19123i | 0.438993 | − | 0.398149i | ||||
\(171\) | −2.23857 | + | 12.0826i | −0.171188 | + | 0.923980i | ||||
\(172\) | −20.4893 | + | 4.08988i | −1.56229 | + | 0.311850i | ||||
\(173\) | 11.4195 | + | 13.9147i | 0.868209 | + | 1.05792i | 0.997797 | + | 0.0663479i | \(0.0211347\pi\) |
−0.129587 | + | 0.991568i | \(0.541365\pi\) | |||||||
\(174\) | 12.7586 | − | 15.7675i | 0.967228 | − | 1.19533i | ||||
\(175\) | 4.67210 | + | 1.93525i | 0.353178 | + | 0.146291i | ||||
\(176\) | 12.3137 | + | 1.19609i | 0.928178 | + | 0.0901589i | ||||
\(177\) | −8.88418 | + | 4.27363i | −0.667776 | + | 0.321226i | ||||
\(178\) | 2.70613 | − | 7.57113i | 0.202833 | − | 0.567480i | ||||
\(179\) | 8.91156 | + | 0.877712i | 0.666082 | + | 0.0656033i | 0.425406 | − | 0.905002i | \(-0.360131\pi\) |
0.240675 | + | 0.970606i | \(0.422631\pi\) | |||||||
\(180\) | 1.39319 | − | 4.83225i | 0.103842 | − | 0.360175i | ||||
\(181\) | −6.68873 | + | 3.57520i | −0.497170 | + | 0.265743i | −0.700868 | − | 0.713291i | \(-0.747204\pi\) |
0.203698 | + | 0.979034i | \(0.434704\pi\) | |||||||
\(182\) | −2.62177 | − | 7.31959i | −0.194338 | − | 0.542564i | ||||
\(183\) | 13.4393 | − | 10.1050i | 0.993461 | − | 0.746980i | ||||
\(184\) | −1.29438 | + | 5.18964i | −0.0954232 | + | 0.382586i | ||||
\(185\) | −0.289346 | + | 0.433037i | −0.0212732 | + | 0.0318375i | ||||
\(186\) | −0.130477 | − | 0.192380i | −0.00956703 | − | 0.0141060i | ||||
\(187\) | 20.0652 | − | 1.97625i | 1.46731 | − | 0.144518i | ||||
\(188\) | −23.7616 | + | 2.35643i | −1.73299 | + | 0.171860i | ||||
\(189\) | 2.72288 | + | 5.47487i | 0.198060 | + | 0.398238i | ||||
\(190\) | −4.70944 | + | 1.18133i | −0.341659 | + | 0.0857030i | ||||
\(191\) | − | 15.3299i | − | 1.10923i | −0.832107 | − | 0.554615i | \(-0.812866\pi\) | ||
0.832107 | − | 0.554615i | \(-0.187134\pi\) | |||||||
\(192\) | −3.48220 | − | 13.4117i | −0.251306 | − | 0.967908i | ||||
\(193\) | 0.252898i | 0.0182040i | 0.999959 | + | 0.00910202i | \(0.00289730\pi\) | ||||
−0.999959 | + | 0.00910202i | \(0.997103\pi\) | |||||||
\(194\) | 3.13157 | + | 12.4841i | 0.224834 | + | 0.896309i | ||||
\(195\) | 2.32694 | + | 6.37094i | 0.166636 | + | 0.456232i | ||||
\(196\) | −7.11872 | + | 8.68608i | −0.508480 | + | 0.620434i | ||||
\(197\) | −18.5095 | + | 1.82302i | −1.31874 | + | 0.129885i | −0.732788 | − | 0.680457i | \(-0.761781\pi\) |
−0.585957 | + | 0.810342i | \(0.699281\pi\) | |||||||
\(198\) | 10.4334 | − | 7.95829i | 0.741466 | − | 0.565571i | ||||
\(199\) | −7.90354 | + | 11.8285i | −0.560267 | + | 0.838499i | −0.998167 | − | 0.0605250i | \(-0.980723\pi\) |
0.437900 | + | 0.899024i | \(0.355723\pi\) | |||||||
\(200\) | −12.0217 | + | 1.79563i | −0.850061 | + | 0.126970i | ||||
\(201\) | −8.97286 | − | 11.9336i | −0.632897 | − | 0.841734i | ||||
\(202\) | 10.0804 | − | 3.61063i | 0.709252 | − | 0.254043i | ||||
\(203\) | −8.59349 | + | 4.59331i | −0.603144 | + | 0.322387i | ||||
\(204\) | −9.80280 | − | 20.3434i | −0.686334 | − | 1.42432i | ||||
\(205\) | −5.39051 | − | 0.530918i | −0.376489 | − | 0.0370810i | ||||
\(206\) | 20.9479 | + | 7.48733i | 1.45951 | + | 0.521667i | ||||
\(207\) | 2.73985 | + | 4.96760i | 0.190433 | + | 0.345272i | ||||
\(208\) | 14.4618 | + | 11.8360i | 1.00274 | + | 0.820678i | ||||
\(209\) | −11.7044 | − | 4.84814i | −0.809613 | − | 0.335353i | ||||
\(210\) | −1.51975 | + | 1.87815i | −0.104873 | + | 0.129605i | ||||
\(211\) | −9.92942 | − | 12.0990i | −0.683570 | − | 0.832932i | 0.309446 | − | 0.950917i | \(-0.399856\pi\) |
−0.993015 | + | 0.117985i | \(0.962356\pi\) | |||||||
\(212\) | −1.28135 | + | 1.92047i | −0.0880038 | + | 0.131899i | ||||
\(213\) | 2.31194 | − | 9.49429i | 0.158411 | − | 0.650538i | ||||
\(214\) | −0.853341 | − | 0.940881i | −0.0583332 | − | 0.0643173i | ||||
\(215\) | −8.58799 | − | 1.70826i | −0.585696 | − | 0.116502i | ||||
\(216\) | −12.3868 | − | 7.91000i | −0.842812 | − | 0.538208i | ||||
\(217\) | 0.0217862 | + | 0.109526i | 0.00147894 | + | 0.00743514i | ||||
\(218\) | −13.1889 | + | 1.96092i | −0.893267 | + | 0.132810i | ||||
\(219\) | 1.40776 | − | 1.92447i | 0.0951275 | − | 0.130044i | ||||
\(220\) | 4.57424 | + | 2.44104i | 0.308395 | + | 0.164575i | ||||
\(221\) | 26.8597 | + | 14.3568i | 1.80678 | + | 0.965743i | ||||
\(222\) | 0.973664 | + | 1.16983i | 0.0653480 | + | 0.0785136i | ||||
\(223\) | −12.5453 | + | 12.5453i | −0.840097 | + | 0.840097i | −0.988871 | − | 0.148774i | \(-0.952467\pi\) |
0.148774 | + | 0.988871i | \(0.452467\pi\) | |||||||
\(224\) | −0.965687 | + | 6.58631i | −0.0645227 | + | 0.440066i | ||||
\(225\) | −8.04703 | + | 10.0727i | −0.536468 | + | 0.671511i | ||||
\(226\) | 14.0711 | + | 2.08243i | 0.935997 | + | 0.138521i | ||||
\(227\) | −19.3676 | − | 10.3522i | −1.28547 | − | 0.687100i | −0.319954 | − | 0.947433i | \(-0.603668\pi\) |
−0.965519 | + | 0.260333i | \(0.916168\pi\) | |||||||
\(228\) | −0.593481 | + | 14.1768i | −0.0393042 | + | 0.938882i | ||||
\(229\) | −3.62432 | + | 4.41625i | −0.239502 | + | 0.291834i | −0.878865 | − | 0.477071i | \(-0.841698\pi\) |
0.639363 | + | 0.768905i | \(0.279198\pi\) | |||||||
\(230\) | −1.33469 | + | 1.80088i | −0.0880067 | + | 0.118747i | ||||
\(231\) | −6.10483 | + | 1.57192i | −0.401668 | + | 0.103425i | ||||
\(232\) | 12.0204 | − | 20.1007i | 0.789176 | − | 1.31967i | ||||
\(233\) | 25.7782 | + | 5.12760i | 1.68879 | + | 0.335921i | 0.943638 | − | 0.330978i | \(-0.107379\pi\) |
0.745148 | + | 0.666899i | \(0.232379\pi\) | |||||||
\(234\) | 19.7826 | − | 1.23957i | 1.29323 | − | 0.0810335i | ||||
\(235\) | −9.57619 | − | 2.90490i | −0.624681 | − | 0.189495i | ||||
\(236\) | −9.46100 | + | 6.33084i | −0.615859 | + | 0.412102i | ||||
\(237\) | 6.89349 | + | 7.50598i | 0.447780 | + | 0.487566i | ||||
\(238\) | 0.535954 | + | 10.8354i | 0.0347408 | + | 0.702352i | ||||
\(239\) | −0.451516 | − | 0.187024i | −0.0292061 | − | 0.0120976i | 0.368033 | − | 0.929813i | \(-0.380031\pi\) |
−0.397239 | + | 0.917715i | \(0.630031\pi\) | |||||||
\(240\) | 0.806551 | − | 5.75079i | 0.0520626 | − | 0.371212i | ||||
\(241\) | 15.4775 | − | 6.41099i | 0.996994 | − | 0.412968i | 0.176300 | − | 0.984336i | \(-0.443587\pi\) |
0.820694 | + | 0.571368i | \(0.193587\pi\) | |||||||
\(242\) | −0.867645 | − | 1.83289i | −0.0557743 | − | 0.117823i | ||||
\(243\) | −15.3362 | + | 2.79308i | −0.983817 | + | 0.179176i | ||||
\(244\) | 13.7197 | − | 13.7381i | 0.878313 | − | 0.879494i | ||||
\(245\) | −4.15084 | + | 2.21867i | −0.265187 | + | 0.141746i | ||||
\(246\) | −5.95640 | + | 14.6660i | −0.379766 | + | 0.935069i | ||||
\(247\) | −10.6318 | − | 15.9116i | −0.676483 | − | 1.01243i | ||||
\(248\) | −0.180456 | − | 0.198699i | −0.0114589 | − | 0.0126174i | ||||
\(249\) | 9.75597 | + | 5.76062i | 0.618259 | + | 0.365065i | ||||
\(250\) | −10.6915 | − | 2.67426i | −0.676189 | − | 0.169135i | ||||
\(251\) | −27.0210 | + | 2.66134i | −1.70555 | + | 0.167982i | −0.903302 | − | 0.429005i | \(-0.858864\pi\) |
−0.802251 | + | 0.596987i | \(0.796364\pi\) | |||||||
\(252\) | 4.00341 | + | 5.81582i | 0.252191 | + | 0.366362i | ||||
\(253\) | −5.59692 | + | 1.69781i | −0.351875 | + | 0.106740i | ||||
\(254\) | 12.2241 | + | 7.32127i | 0.767009 | + | 0.459378i | ||||
\(255\) | −0.526535 | − | 9.44925i | −0.0329729 | − | 0.591735i | ||||
\(256\) | −6.16262 | − | 14.7656i | −0.385164 | − | 0.922848i | ||||
\(257\) | 21.7391i | 1.35605i | 0.735040 | + | 0.678023i | \(0.237163\pi\) | ||||
−0.735040 | + | 0.678023i | \(0.762837\pi\) | |||||||
\(258\) | −11.9064 | + | 22.6505i | −0.741258 | + | 1.41016i | ||||
\(259\) | −0.212252 | − | 0.699701i | −0.0131887 | − | 0.0434773i | ||||
\(260\) | 3.69655 | + | 6.90460i | 0.229250 | + | 0.428205i | ||||
\(261\) | −5.16638 | − | 24.2982i | −0.319791 | − | 1.50402i | ||||
\(262\) | 5.89558 | − | 23.5700i | 0.364230 | − | 1.45616i | ||||
\(263\) | −5.57579 | + | 8.34475i | −0.343818 | + | 0.514560i | −0.962572 | − | 0.271025i | \(-0.912638\pi\) |
0.618755 | + | 0.785584i | \(0.287638\pi\) | |||||||
\(264\) | 10.6326 | − | 10.7951i | 0.654390 | − | 0.664393i | ||||
\(265\) | −0.804490 | + | 0.537543i | −0.0494194 | + | 0.0330210i | ||||
\(266\) | 2.91241 | − | 6.16313i | 0.178571 | − | 0.377886i | ||||
\(267\) | −5.11793 | − | 8.41276i | −0.313212 | − | 0.514853i | ||||
\(268\) | −12.1990 | − | 12.1826i | −0.745173 | − | 0.744172i | ||||
\(269\) | 29.6468 | + | 2.91995i | 1.80760 | + | 0.178033i | 0.944828 | − | 0.327567i | \(-0.106229\pi\) |
0.862768 | + | 0.505599i | \(0.168729\pi\) | |||||||
\(270\) | −3.52402 | − | 5.05160i | −0.214465 | − | 0.307431i | ||||
\(271\) | −3.33863 | − | 8.06017i | −0.202807 | − | 0.489620i | 0.789451 | − | 0.613814i | \(-0.210366\pi\) |
−0.992258 | + | 0.124194i | \(0.960366\pi\) | |||||||
\(272\) | −14.5159 | − | 21.6615i | −0.880155 | − | 1.31342i | ||||
\(273\) | −8.98662 | − | 3.14894i | −0.543895 | − | 0.190583i | ||||
\(274\) | −0.654496 | + | 0.0323736i | −0.0395395 | + | 0.00195576i | ||||
\(275\) | −8.43212 | − | 10.2746i | −0.508476 | − | 0.619580i | ||||
\(276\) | 3.94029 | + | 5.23315i | 0.237178 | + | 0.314999i | ||||
\(277\) | −3.03469 | + | 10.0040i | −0.182337 | + | 0.601085i | 0.817352 | + | 0.576139i | \(0.195441\pi\) |
−0.999689 | + | 0.0249458i | \(0.992059\pi\) | |||||||
\(278\) | −0.643016 | + | 13.1792i | −0.0385655 | + | 0.790435i | ||||
\(279\) | −0.283667 | − | 0.0241756i | −0.0169827 | − | 0.00144736i | ||||
\(280\) | −1.43181 | + | 2.39430i | −0.0855673 | + | 0.143087i | ||||
\(281\) | −1.85699 | − | 9.33574i | −0.110779 | − | 0.556924i | −0.995814 | − | 0.0913997i | \(-0.970866\pi\) |
0.885035 | − | 0.465524i | \(-0.154134\pi\) | |||||||
\(282\) | −16.0790 | + | 24.4278i | −0.957489 | + | 1.45465i | ||||
\(283\) | 4.87082 | + | 3.99738i | 0.289540 | + | 0.237619i | 0.767939 | − | 0.640523i | \(-0.221283\pi\) |
−0.478398 | + | 0.878143i | \(0.658783\pi\) | |||||||
\(284\) | 1.09843 | − | 11.2298i | 0.0651796 | − | 0.666368i | ||||
\(285\) | −2.50707 | + | 5.39223i | −0.148506 | + | 0.319408i | ||||
\(286\) | −2.99168 | + | 20.2151i | −0.176902 | + | 1.19534i | ||||
\(287\) | 5.37724 | − | 5.37724i | 0.317409 | − | 0.317409i | ||||
\(288\) | −15.4471 | − | 7.02749i | −0.910232 | − | 0.414099i | ||||
\(289\) | −18.0283 | − | 18.0283i | −1.06049 | − | 1.06049i | ||||
\(290\) | 7.88180 | − | 5.84964i | 0.462835 | − | 0.343503i | ||||
\(291\) | 14.2941 | + | 6.64593i | 0.837937 | + | 0.389591i | ||||
\(292\) | 1.29625 | − | 2.42904i | 0.0758574 | − | 0.142149i | ||||
\(293\) | −1.57218 | + | 1.91570i | −0.0918475 | + | 0.111916i | −0.816906 | − | 0.576771i | \(-0.804313\pi\) |
0.725059 | + | 0.688687i | \(0.241813\pi\) | |||||||
\(294\) | 2.77657 | + | 13.4713i | 0.161933 | + | 0.785664i | ||||
\(295\) | −4.67915 | + | 0.930740i | −0.272430 | + | 0.0541898i | ||||
\(296\) | 1.30338 | + | 1.17893i | 0.0757577 | + | 0.0685239i | ||||
\(297\) | 0.471705 | − | 16.0643i | 0.0273711 | − | 0.932145i | ||||
\(298\) | −7.37493 | + | 6.68876i | −0.427218 | + | 0.387469i | ||||
\(299\) | −8.45435 | − | 2.56460i | −0.488928 | − | 0.148315i | ||||
\(300\) | −7.56059 | + | 12.8240i | −0.436511 | + | 0.740394i | ||||
\(301\) | 9.50281 | − | 7.79875i | 0.547733 | − | 0.449513i | ||||
\(302\) | −0.312776 | + | 0.345328i | −0.0179982 | + | 0.0198714i | ||||
\(303\) | 4.33665 | − | 12.3762i | 0.249134 | − | 0.710991i | ||||
\(304\) | 1.62784 | + | 16.3032i | 0.0933632 | + | 0.935055i | ||||
\(305\) | 7.51750 | − | 3.11385i | 0.430451 | − | 0.178299i | ||||
\(306\) | −26.9166 | − | 6.35764i | −1.53872 | − | 0.363442i | ||||
\(307\) | 1.64530 | − | 16.7050i | 0.0939019 | − | 0.953402i | −0.826633 | − | 0.562742i | \(-0.809747\pi\) |
0.920535 | − | 0.390661i | \(-0.127753\pi\) | |||||||
\(308\) | −6.72321 | + | 2.79014i | −0.383091 | + | 0.158983i | ||||
\(309\) | 23.2765 | − | 14.1603i | 1.32415 | − | 0.805552i | ||||
\(310\) | −0.0379320 | − | 0.105901i | −0.00215440 | − | 0.00601476i | ||||
\(311\) | 18.8319 | + | 28.1839i | 1.06786 | + | 1.59816i | 0.763734 | + | 0.645531i | \(0.223364\pi\) |
0.304124 | + | 0.952632i | \(0.401636\pi\) | |||||||
\(312\) | 22.4135 | − | 4.63532i | 1.26891 | − | 0.262423i | ||||
\(313\) | 8.44968 | + | 5.64590i | 0.477604 | + | 0.319125i | 0.770966 | − | 0.636877i | \(-0.219774\pi\) |
−0.293362 | + | 0.956002i | \(0.594774\pi\) | |||||||
\(314\) | 27.4023 | − | 16.4368i | 1.54640 | − | 0.927584i | ||||
\(315\) | 0.615397 | + | 2.89429i | 0.0346737 | + | 0.163075i | ||||
\(316\) | 9.10161 | + | 7.45927i | 0.512005 | + | 0.419617i | ||||
\(317\) | 3.46827 | − | 1.05209i | 0.194797 | − | 0.0590911i | −0.191378 | − | 0.981516i | \(-0.561296\pi\) |
0.386176 | + | 0.922425i | \(0.373796\pi\) | |||||||
\(318\) | 0.839485 | + | 2.70007i | 0.0470760 | + | 0.151413i | ||||
\(319\) | 25.6107 | 1.43392 | ||||||||
\(320\) | −0.0135103 | − | 6.70542i | −0.000755246 | − | 0.374844i | ||||
\(321\) | −1.55328 | + | 0.0865525i | −0.0866957 | + | 0.00483089i | ||||
\(322\) | −0.765686 | − | 3.05244i | −0.0426700 | − | 0.170106i | ||||
\(323\) | 7.75114 | + | 25.5521i | 0.431285 | + | 1.42176i | ||||
\(324\) | −17.0777 | + | 5.68792i | −0.948761 | + | 0.315995i | ||||
\(325\) | −1.96794 | − | 19.9808i | −0.109162 | − | 1.10834i | ||||
\(326\) | 13.5366 | − | 8.11973i | 0.749725 | − | 0.449710i | ||||
\(327\) | −8.30331 | + | 14.0622i | −0.459174 | + | 0.777639i | ||||
\(328\) | −4.42338 | + | 17.7349i | −0.244240 | + | 0.979247i | ||||
\(329\) | 11.6816 | − | 7.80541i | 0.644028 | − | 0.430326i | ||||
\(330\) | 5.84977 | − | 2.47057i | 0.322019 | − | 0.136000i | ||||
\(331\) | −1.31455 | − | 2.45935i | −0.0722541 | − | 0.135178i | 0.843200 | − | 0.537599i | \(-0.180669\pi\) |
−0.915455 | + | 0.402421i | \(0.868169\pi\) | |||||||
\(332\) | 12.0900 | + | 4.99833i | 0.663525 | + | 0.274319i | ||||
\(333\) | 1.86391 | − | 0.0245209i | 0.102142 | − | 0.00134374i | ||||
\(334\) | 4.48541 | + | 1.60321i | 0.245431 | + | 0.0877235i | ||||
\(335\) | −2.76499 | − | 6.67529i | −0.151068 | − | 0.364710i | ||||
\(336\) | 5.52275 | + | 5.99726i | 0.301291 | + | 0.327178i | ||||
\(337\) | 8.16730 | − | 19.7176i | 0.444901 | − | 1.07409i | −0.529306 | − | 0.848431i | \(-0.677548\pi\) |
0.974207 | − | 0.225655i | \(-0.0724523\pi\) | |||||||
\(338\) | −8.38022 | + | 9.25239i | −0.455824 | + | 0.503264i | ||||
\(339\) | 12.8311 | − | 11.7840i | 0.696887 | − | 0.640021i | ||||
\(340\) | −2.13914 | − | 10.7166i | −0.116011 | − | 0.581188i | ||||
\(341\) | 0.0852021 | − | 0.280874i | 0.00461395 | − | 0.0152102i | ||||
\(342\) | 13.0327 | + | 11.4957i | 0.704725 | + | 0.621617i | ||||
\(343\) | 2.89612 | − | 14.5598i | 0.156376 | − | 0.786155i | ||||
\(344\) | −9.92634 | + | 27.8306i | −0.535192 | + | 1.50053i | ||||
\(345\) | 0.684563 | + | 2.65861i | 0.0368556 | + | 0.143135i | ||||
\(346\) | 25.1800 | − | 3.74374i | 1.35369 | − | 0.201265i | ||||
\(347\) | 17.3860 | + | 14.2683i | 0.933328 | + | 0.765963i | 0.972411 | − | 0.233273i | \(-0.0749437\pi\) |
−0.0390831 | + | 0.999236i | \(0.512444\pi\) | |||||||
\(348\) | −9.85898 | − | 26.9368i | −0.528497 | − | 1.44396i | ||||
\(349\) | −15.2540 | + | 28.5382i | −0.816526 | + | 1.52761i | 0.0326275 | + | 0.999468i | \(0.489613\pi\) |
−0.849154 | + | 0.528146i | \(0.822887\pi\) | |||||||
\(350\) | 5.74291 | − | 4.26222i | 0.306971 | − | 0.227825i | ||||
\(351\) | 14.0737 | − | 19.7803i | 0.751201 | − | 1.05580i | ||||
\(352\) | 10.3988 | − | 14.0705i | 0.554259 | − | 0.749960i | ||||
\(353\) | −24.4936 | − | 24.4936i | −1.30366 | − | 1.30366i | −0.925904 | − | 0.377758i | \(-0.876695\pi\) |
−0.377758 | − | 0.925904i | \(-0.623305\pi\) | |||||||
\(354\) | −1.27062 | + | 13.8842i | −0.0675328 | + | 0.737936i | ||||
\(355\) | 2.22912 | − | 4.17040i | 0.118310 | − | 0.221342i | ||||
\(356\) | −7.21933 | − | 8.78474i | −0.382624 | − | 0.465590i | ||||
\(357\) | 10.7239 | + | 7.84455i | 0.567567 | + | 0.415178i | ||||
\(358\) | 7.54042 | − | 10.1742i | 0.398524 | − | 0.537724i | ||||
\(359\) | −32.4355 | + | 6.45181i | −1.71188 | + | 0.340514i | −0.951190 | − | 0.308604i | \(-0.900138\pi\) |
−0.760688 | + | 0.649118i | \(0.775138\pi\) | |||||||
\(360\) | −4.85040 | − | 5.20161i | −0.255639 | − | 0.274149i | ||||
\(361\) | −0.433519 | + | 2.17945i | −0.0228168 | + | 0.114708i | ||||
\(362\) | −0.522692 | + | 10.7130i | −0.0274721 | + | 0.563065i | ||||
\(363\) | −2.41312 | − | 0.587614i | −0.126656 | − | 0.0308417i | ||||
\(364\) | −10.7856 | − | 2.13787i | −0.565321 | − | 0.112055i | ||||
\(365\) | 0.891951 | − | 0.732005i | 0.0466868 | − | 0.0383149i | ||||
\(366\) | −2.49431 | − | 23.6480i | −0.130380 | − | 1.23610i | ||||
\(367\) | −7.04470 | + | 17.0074i | −0.367730 | + | 0.887780i | 0.626391 | + | 0.779509i | \(0.284531\pi\) |
−0.994121 | + | 0.108271i | \(0.965469\pi\) | |||||||
\(368\) | 5.35581 | + | 5.34144i | 0.279191 | + | 0.278442i | ||||
\(369\) | 9.36308 | + | 16.9761i | 0.487423 | + | 0.883740i | ||||
\(370\) | 0.315133 | + | 0.665715i | 0.0163830 | + | 0.0346089i | ||||
\(371\) | 0.133145 | − | 1.35184i | 0.00691254 | − | 0.0701842i | ||||
\(372\) | −0.328216 | + | 0.0185101i | −0.0170172 | + | 0.000959705i | ||||
\(373\) | −1.11551 | − | 2.08698i | −0.0577590 | − | 0.108060i | 0.851385 | − | 0.524541i | \(-0.175763\pi\) |
−0.909144 | + | 0.416482i | \(0.863263\pi\) | |||||||
\(374\) | 12.1826 | − | 25.7803i | 0.629945 | − | 1.33307i | ||||
\(375\) | −10.7884 | + | 8.11174i | −0.557110 | + | 0.418888i | ||||
\(376\) | −14.4073 | + | 30.5412i | −0.742998 | + | 1.57504i | ||||
\(377\) | 32.1661 | + | 21.4927i | 1.65664 | + | 1.10693i | ||||
\(378\) | 8.62098 | + | 0.674729i | 0.443415 | + | 0.0347043i | ||||
\(379\) | −2.48115 | − | 25.1915i | −0.127448 | − | 1.29400i | −0.819887 | − | 0.572526i | \(-0.805964\pi\) |
0.692439 | − | 0.721477i | \(-0.256536\pi\) | |||||||
\(380\) | −1.98882 | + | 6.57216i | −0.102025 | + | 0.337145i | ||||
\(381\) | 16.3921 | − | 5.98708i | 0.839791 | − | 0.306728i | ||||
\(382\) | −18.5990 | − | 11.1393i | −0.951609 | − | 0.569938i | ||||
\(383\) | 9.32475 | 0.476472 | 0.238236 | − | 0.971207i | \(-0.423431\pi\) | ||||
0.238236 | + | 0.971207i | \(0.423431\pi\) | |||||||
\(384\) | −18.8022 | − | 5.52075i | −0.959494 | − | 0.281730i | ||||
\(385\) | −3.05063 | −0.155474 | ||||||||
\(386\) | 0.306830 | + | 0.183767i | 0.0156173 | + | 0.00935350i | ||||
\(387\) | 12.3732 | + | 28.7943i | 0.628967 | + | 1.46370i | ||||
\(388\) | 17.4220 | + | 5.27213i | 0.884467 | + | 0.267652i | ||||
\(389\) | −3.74260 | − | 37.9993i | −0.189758 | − | 1.92664i | −0.344693 | − | 0.938716i | \(-0.612017\pi\) |
0.154935 | − | 0.987925i | \(-0.450483\pi\) | |||||||
\(390\) | 9.42043 | + | 1.80623i | 0.477022 | + | 0.0914620i | ||||
\(391\) | 10.2498 | + | 6.84872i | 0.518357 | + | 0.346355i | ||||
\(392\) | 5.36566 | + | 14.9485i | 0.271007 | + | 0.755014i | ||||
\(393\) | −17.8828 | − | 23.7836i | −0.902069 | − | 1.19973i | ||||
\(394\) | −11.2380 | + | 23.7814i | −0.566162 | + | 1.19809i | ||||
\(395\) | 2.32481 | + | 4.34941i | 0.116974 | + | 0.218842i | ||||
\(396\) | −2.07411 | − | 18.4412i | −0.104228 | − | 0.926704i | ||||
\(397\) | 1.16602 | − | 11.8388i | 0.0585207 | − | 0.594171i | −0.920546 | − | 0.390633i | \(-0.872256\pi\) |
0.979067 | − | 0.203538i | \(-0.0652440\pi\) | |||||||
\(398\) | 8.60791 | + | 18.1841i | 0.431476 | + | 0.911487i | ||||
\(399\) | −3.61906 | − | 7.52342i | −0.181179 | − | 0.376642i | ||||
\(400\) | −6.55692 | + | 15.8901i | −0.327846 | + | 0.794507i | ||||
\(401\) | 10.4729 | − | 25.2839i | 0.522992 | − | 1.26262i | −0.413044 | − | 0.910711i | \(-0.635534\pi\) |
0.936036 | − | 0.351904i | \(-0.114466\pi\) | |||||||
\(402\) | −20.9986 | + | 2.21486i | −1.04732 | + | 0.110467i | ||||
\(403\) | 0.342722 | − | 0.281265i | 0.0170722 | − | 0.0140108i | ||||
\(404\) | 2.94422 | − | 14.8537i | 0.146480 | − | 0.738999i | ||||
\(405\) | −7.52414 | − | 0.541656i | −0.373878 | − | 0.0269151i | ||||
\(406\) | −0.671539 | + | 13.7638i | −0.0333279 | + | 0.683086i | ||||
\(407\) | −0.374925 | + | 1.88488i | −0.0185844 | + | 0.0934298i | ||||
\(408\) | −31.8049 | − | 2.88911i | −1.57458 | − | 0.143032i | ||||
\(409\) | 15.4544 | − | 3.07407i | 0.764170 | − | 0.152003i | 0.202408 | − | 0.979301i | \(-0.435123\pi\) |
0.561763 | + | 0.827298i | \(0.310123\pi\) | |||||||
\(410\) | −4.56112 | + | 6.15427i | −0.225257 | + | 0.303938i | ||||
\(411\) | −0.473840 | + | 0.647761i | −0.0233728 | + | 0.0319517i | ||||
\(412\) | 24.3057 | − | 19.9745i | 1.19745 | − | 0.984072i | ||||
\(413\) | 3.15739 | − | 5.90706i | 0.155365 | − | 0.290667i | ||||
\(414\) | 8.01786 | + | 0.285530i | 0.394056 | + | 0.0140330i | ||||
\(415\) | 3.87688 | + | 3.87688i | 0.190309 | + | 0.190309i | ||||
\(416\) | 24.8686 | − | 8.94527i | 1.21929 | − | 0.438578i | ||||
\(417\) | 12.0452 | + | 10.7736i | 0.589854 | + | 0.527587i | ||||
\(418\) | −14.3870 | + | 10.6776i | −0.703690 | + | 0.522259i | ||||
\(419\) | 3.17793 | − | 5.94549i | 0.155252 | − | 0.290456i | −0.792256 | − | 0.610189i | \(-0.791093\pi\) |
0.947508 | + | 0.319733i | \(0.103593\pi\) | |||||||
\(420\) | 1.17436 | + | 3.20859i | 0.0573028 | + | 0.156563i | ||||
\(421\) | −14.1011 | − | 11.5725i | −0.687247 | − | 0.564009i | 0.224645 | − | 0.974441i | \(-0.427878\pi\) |
−0.911891 | + | 0.410432i | \(0.865378\pi\) | |||||||
\(422\) | −21.8944 | + | 3.25524i | −1.06580 | + | 0.158462i | ||||
\(423\) | 10.8472 | + | 34.1352i | 0.527407 | + | 1.65971i | ||||
\(424\) | 1.39894 | + | 2.95011i | 0.0679384 | + | 0.143270i | ||||
\(425\) | −5.46538 | + | 27.4763i | −0.265110 | + | 1.33280i | ||||
\(426\) | −9.83905 | − | 9.70394i | −0.476703 | − | 0.470157i | ||||
\(427\) | −3.31613 | + | 10.9318i | −0.160479 | + | 0.529027i | ||||
\(428\) | −1.76160 | + | 0.351635i | −0.0851504 | + | 0.0169969i | ||||
\(429\) | 16.9294 | + | 18.4335i | 0.817357 | + | 0.889980i | ||||
\(430\) | −8.31297 | + | 9.17814i | −0.400887 | + | 0.442609i | ||||
\(431\) | 13.8601 | − | 33.4612i | 0.667616 | − | 1.61177i | −0.117972 | − | 0.993017i | \(-0.537639\pi\) |
0.785588 | − | 0.618750i | \(-0.212361\pi\) | |||||||
\(432\) | −18.5976 | + | 9.28055i | −0.894778 | + | 0.446511i | ||||
\(433\) | 14.2316 | + | 34.3582i | 0.683928 | + | 1.65115i | 0.756669 | + | 0.653798i | \(0.226825\pi\) |
−0.0727413 | + | 0.997351i | \(0.523175\pi\) | |||||||
\(434\) | 0.148714 | + | 0.0531545i | 0.00713851 | + | 0.00255150i | ||||
\(435\) | 0.510871 | − | 12.0104i | 0.0244944 | − | 0.575856i | ||||
\(436\) | −7.20455 | + | 17.4264i | −0.345036 | + | 0.834574i | ||||
\(437\) | −3.65134 | − | 6.83118i | −0.174667 | − | 0.326779i | ||||
\(438\) | −1.31193 | − | 3.10637i | −0.0626867 | − | 0.148428i | ||||
\(439\) | 2.37717 | − | 1.58837i | 0.113456 | − | 0.0758090i | −0.497548 | − | 0.867437i | \(-0.665766\pi\) |
0.611004 | + | 0.791628i | \(0.290766\pi\) | |||||||
\(440\) | 6.28545 | − | 3.77596i | 0.299647 | − | 0.180012i | ||||
\(441\) | 14.9598 | + | 7.74491i | 0.712371 | + | 0.368805i | ||||
\(442\) | 36.9359 | − | 22.1554i | 1.75686 | − | 1.05382i | ||||
\(443\) | −0.267863 | − | 2.71966i | −0.0127266 | − | 0.129215i | 0.986722 | − | 0.162418i | \(-0.0519292\pi\) |
−0.999449 | + | 0.0332029i | \(0.989429\pi\) | |||||||
\(444\) | 2.12681 | − | 0.331256i | 0.100934 | − | 0.0157207i | ||||
\(445\) | −1.38329 | − | 4.56010i | −0.0655744 | − | 0.216170i | ||||
\(446\) | 6.10470 | + | 24.3367i | 0.289066 | + | 1.15237i | ||||
\(447\) | 0.678426 | + | 12.1751i | 0.0320884 | + | 0.575863i | ||||
\(448\) | 7.28916 | + | 5.95752i | 0.344381 | + | 0.281467i | ||||
\(449\) | 20.0944 | 0.948315 | 0.474158 | − | 0.880440i | \(-0.342753\pi\) | ||||
0.474158 | + | 0.880440i | \(0.342753\pi\) | |||||||
\(450\) | 6.37339 | + | 17.0823i | 0.300444 | + | 0.805269i | ||||
\(451\) | −19.1267 | + | 5.80203i | −0.900642 | + | 0.273207i | ||||
\(452\) | 12.7512 | − | 15.5587i | 0.599766 | − | 0.731819i | ||||
\(453\) | 0.0874399 | + | 0.563893i | 0.00410829 | + | 0.0264940i | ||||
\(454\) | −26.6332 | + | 15.9755i | −1.24996 | + | 0.749767i | ||||
\(455\) | −3.83148 | − | 2.56011i | −0.179623 | − | 0.120020i | ||||
\(456\) | 16.7688 | + | 11.0215i | 0.785273 | + | 0.516131i | ||||
\(457\) | 3.96665 | + | 5.93652i | 0.185552 | + | 0.277698i | 0.912570 | − | 0.408920i | \(-0.134094\pi\) |
−0.727018 | + | 0.686618i | \(0.759094\pi\) | |||||||
\(458\) | 2.72445 | + | 7.60627i | 0.127305 | + | 0.355418i | ||||
\(459\) | −26.8037 | + | 20.7111i | −1.25109 | + | 0.966710i | ||||
\(460\) | 1.21509 | + | 2.92792i | 0.0566537 | + | 0.136515i | ||||
\(461\) | 1.62306 | − | 16.4792i | 0.0755936 | − | 0.767515i | −0.880420 | − | 0.474194i | \(-0.842740\pi\) |
0.956014 | − | 0.293321i | \(-0.0947604\pi\) | |||||||
\(462\) | −2.52889 | + | 8.54894i | −0.117655 | + | 0.397733i | ||||
\(463\) | −8.78575 | + | 3.63918i | −0.408309 | + | 0.169127i | −0.577378 | − | 0.816477i | \(-0.695924\pi\) |
0.169069 | + | 0.985604i | \(0.445924\pi\) | |||||||
\(464\) | −15.6527 | − | 29.1898i | −0.726660 | − | 1.35510i | ||||
\(465\) | −0.130020 | − | 0.0455593i | −0.00602951 | − | 0.00211276i | ||||
\(466\) | 24.9527 | − | 27.5496i | 1.15591 | − | 1.27621i | ||||
\(467\) | 10.6220 | − | 8.71727i | 0.491529 | − | 0.403387i | −0.355713 | − | 0.934595i | \(-0.615762\pi\) |
0.847241 | + | 0.531208i | \(0.178262\pi\) | |||||||
\(468\) | 12.8710 | − | 24.9021i | 0.594961 | − | 1.15110i | ||||
\(469\) | 9.70708 | + | 2.94461i | 0.448231 | + | 0.135969i | ||||
\(470\) | −10.4829 | + | 9.50753i | −0.483539 | + | 0.438550i | ||||
\(471\) | 5.48762 | − | 38.7488i | 0.252856 | − | 1.78545i | ||||
\(472\) | 0.806142 | + | 16.0789i | 0.0371057 | + | 0.740090i | ||||
\(473\) | −31.6900 | + | 6.30353i | −1.45711 | + | 0.289836i | ||||
\(474\) | 14.1158 | − | 2.90939i | 0.648359 | − | 0.133633i | ||||
\(475\) | 11.1670 | − | 13.6071i | 0.512379 | − | 0.624336i | ||||
\(476\) | 13.5355 | + | 7.22319i | 0.620399 | + | 0.331075i | ||||
\(477\) | 3.21659 | + | 1.28305i | 0.147278 | + | 0.0587468i | ||||
\(478\) | −0.554999 | + | 0.411904i | −0.0253851 | + | 0.0188401i | ||||
\(479\) | −6.77488 | − | 6.77488i | −0.309552 | − | 0.309552i | 0.535184 | − | 0.844736i | \(-0.320242\pi\) |
−0.844736 | + | 0.535184i | \(0.820242\pi\) | |||||||
\(480\) | −6.39110 | − | 5.15733i | −0.291713 | − | 0.235399i | ||||
\(481\) | −2.05270 | + | 2.05270i | −0.0935949 | + | 0.0935949i | ||||
\(482\) | 3.46846 | − | 23.4367i | 0.157984 | − | 1.06751i | ||||
\(483\) | −3.49500 | − | 1.62497i | −0.159028 | − | 0.0739385i | ||||
\(484\) | −2.85423 | − | 0.279182i | −0.129738 | − | 0.0126901i | ||||
\(485\) | 5.89680 | + | 4.83938i | 0.267760 | + | 0.219745i | ||||
\(486\) | −7.75522 | + | 20.6363i | −0.351784 | + | 0.936081i | ||||
\(487\) | 1.33490 | + | 6.71097i | 0.0604899 | + | 0.304103i | 0.999172 | − | 0.0406801i | \(-0.0129524\pi\) |
−0.938682 | + | 0.344783i | \(0.887952\pi\) | |||||||
\(488\) | −6.69854 | − | 26.6282i | −0.303229 | − | 1.20540i | ||||
\(489\) | 2.71086 | − | 19.1418i | 0.122589 | − | 0.865620i | ||||
\(490\) | −0.324368 | + | 6.64821i | −0.0146534 | + | 0.300335i | ||||
\(491\) | −4.39599 | + | 14.4916i | −0.198388 | + | 0.653998i | 0.800142 | + | 0.599810i | \(0.204757\pi\) |
−0.998531 | + | 0.0541884i | \(0.982743\pi\) | |||||||
\(492\) | 13.4654 | + | 17.8836i | 0.607068 | + | 0.806254i | ||||
\(493\) | −34.2441 | − | 41.7265i | −1.54228 | − | 1.87927i | ||||
\(494\) | −27.0303 | + | 1.33701i | −1.21615 | + | 0.0601550i | ||||
\(495\) | 2.15952 | − | 7.47140i | 0.0970630 | − | 0.335814i | ||||
\(496\) | −0.372200 | + | 0.0745551i | −0.0167123 | + | 0.00334762i | ||||
\(497\) | 2.54060 | + | 6.13355i | 0.113961 | + | 0.275127i | ||||
\(498\) | 14.0782 | − | 7.65056i | 0.630860 | − | 0.342830i | ||||
\(499\) | 12.9209 | + | 1.27260i | 0.578420 | + | 0.0569694i | 0.382997 | − | 0.923750i | \(-0.374892\pi\) |
0.195423 | + | 0.980719i | \(0.437392\pi\) | |||||||
\(500\) | −11.0135 | + | 11.0283i | −0.492537 | + | 0.493199i | ||||
\(501\) | 4.98402 | − | 3.03204i | 0.222670 | − | 0.135462i | ||||
\(502\) | −16.4058 | + | 34.7173i | −0.732226 | + | 1.54951i | ||||
\(503\) | −22.9797 | + | 15.3545i | −1.02461 | + | 0.684624i | −0.949891 | − | 0.312580i | \(-0.898807\pi\) |
−0.0747210 | + | 0.997204i | \(0.523807\pi\) | |||||||
\(504\) | 9.96512 | − | 0.631132i | 0.443882 | − | 0.0281129i | ||||
\(505\) | 3.52573 | − | 5.27662i | 0.156893 | − | 0.234807i | ||||
\(506\) | −2.00709 | + | 8.02420i | −0.0892262 | + | 0.356719i | ||||
\(507\) | 2.34278 | + | 15.1084i | 0.104047 | + | 0.670988i | ||||
\(508\) | 17.7652 | − | 9.51102i | 0.788201 | − | 0.421983i | ||||
\(509\) | 1.24708 | + | 4.11108i | 0.0552759 | + | 0.182220i | 0.980231 | − | 0.197856i | \(-0.0633978\pi\) |
−0.924955 | + | 0.380076i | \(0.875898\pi\) | |||||||
\(510\) | −11.8470 | − | 6.22742i | −0.524592 | − | 0.275755i | ||||
\(511\) | 1.61996i | 0.0716628i | ||||||||
\(512\) | −22.3924 | − | 3.25247i | −0.989615 | − | 0.143740i | ||||
\(513\) | 20.9878 | − | 3.53779i | 0.926632 | − | 0.156197i | ||||
\(514\) | 26.3751 | + | 15.7966i | 1.16335 | + | 0.696757i | ||||
\(515\) | 12.6169 | − | 3.82730i | 0.555968 | − | 0.168651i | ||||
\(516\) | 18.8292 | + | 30.9043i | 0.828908 | + | 1.36049i | ||||
\(517\) | −36.7487 | + | 3.61943i | −1.61620 | + | 0.159182i | ||||
\(518\) | −1.00315 | − | 0.250917i | −0.0440758 | − | 0.0110247i | ||||
\(519\) | 15.8525 | − | 26.8472i | 0.695847 | − | 1.17846i | ||||
\(520\) | 11.0631 | + | 0.532325i | 0.485150 | + | 0.0233440i | ||||
\(521\) | 5.71768 | + | 8.55711i | 0.250496 | + | 0.374894i | 0.935313 | − | 0.353821i | \(-0.115118\pi\) |
−0.684817 | + | 0.728715i | \(0.740118\pi\) | |||||||
\(522\) | −33.2340 | − | 11.3880i | −1.45461 | − | 0.498438i | ||||
\(523\) | −13.3429 | + | 7.13195i | −0.583446 | + | 0.311858i | −0.736583 | − | 0.676347i | \(-0.763562\pi\) |
0.153138 | + | 0.988205i | \(0.451062\pi\) | |||||||
\(524\) | −24.3125 | − | 24.2799i | −1.06210 | − | 1.06067i | ||||
\(525\) | 0.372235 | − | 8.75115i | 0.0162457 | − | 0.381932i | ||||
\(526\) | 6.07271 | + | 12.8285i | 0.264783 | + | 0.559350i | ||||
\(527\) | −0.571541 | + | 0.236740i | −0.0248967 | + | 0.0103126i | ||||
\(528\) | −5.37112 | − | 20.7442i | −0.233748 | − | 0.902776i | ||||
\(529\) | 17.9455 | + | 7.43325i | 0.780237 | + | 0.323185i | ||||
\(530\) | 0.0675994 | + | 1.36665i | 0.00293633 | + | 0.0593636i | ||||
\(531\) | 12.2321 | + | 11.9144i | 0.530827 | + | 0.517042i | ||||
\(532\) | −5.36116 | − | 8.01190i | −0.232436 | − | 0.347360i | ||||
\(533\) | −28.8916 | − | 8.76417i | −1.25143 | − | 0.379618i | ||||
\(534\) | −13.9257 | + | 0.0962734i | −0.602626 | + | 0.00416616i | ||||
\(535\) | −0.738369 | − | 0.146871i | −0.0319225 | − | 0.00634977i | ||||
\(536\) | −23.6450 | + | 5.94808i | −1.02131 | + | 0.256918i | ||||
\(537\) | −3.86749 | − | 15.0200i | −0.166895 | − | 0.648163i | ||||
\(538\) | 25.0853 | − | 33.8474i | 1.08150 | − | 1.45926i | ||||
\(539\) | −11.0178 | + | 13.4252i | −0.474570 | + | 0.578265i | ||||
\(540\) | −8.68959 | + | 0.604824i | −0.373940 | + | 0.0260275i | ||||
\(541\) | −35.0239 | − | 18.7206i | −1.50579 | − | 0.804864i | −0.507411 | − | 0.861704i | \(-0.669397\pi\) |
−0.998383 | + | 0.0568408i | \(0.981897\pi\) | |||||||
\(542\) | −12.2050 | − | 1.80626i | −0.524251 | − | 0.0775854i | ||||
\(543\) | 9.79120 | + | 8.75762i | 0.420181 | + | 0.375825i | ||||
\(544\) | −36.8289 | + | 1.87128i | −1.57902 | + | 0.0802303i | ||||
\(545\) | −5.58810 | + | 5.58810i | −0.239368 | + | 0.239368i | ||||
\(546\) | −10.3505 | + | 8.61491i | −0.442962 | + | 0.368684i | ||||
\(547\) | −16.6047 | − | 8.87542i | −0.709967 | − | 0.379485i | 0.0765398 | − | 0.997067i | \(-0.475613\pi\) |
−0.786507 | + | 0.617581i | \(0.788113\pi\) | |||||||
\(548\) | −0.436308 | + | 0.817595i | −0.0186381 | + | 0.0349259i | ||||
\(549\) | −24.4260 | − | 15.8602i | −1.04248 | − | 0.676896i | ||||
\(550\) | −18.5928 | + | 2.76437i | −0.792801 | + | 0.117873i | ||||
\(551\) | 6.61695 | + | 33.2656i | 0.281892 | + | 1.41716i | ||||
\(552\) | 9.21234 | − | 0.977942i | 0.392103 | − | 0.0416240i | ||||
\(553\) | −6.79083 | − | 1.35078i | −0.288776 | − | 0.0574410i | ||||
\(554\) | 9.93232 | + | 10.9512i | 0.421984 | + | 0.465273i | ||||
\(555\) | 0.876457 | + | 0.213425i | 0.0372035 | + | 0.00905937i | ||||
\(556\) | 15.5225 | + | 10.3567i | 0.658300 | + | 0.439223i | ||||
\(557\) | 7.12333 | + | 8.67980i | 0.301825 | + | 0.367775i | 0.901732 | − | 0.432294i | \(-0.142296\pi\) |
−0.599907 | + | 0.800069i | \(0.704796\pi\) | |||||||
\(558\) | −0.235456 | + | 0.326593i | −0.00996765 | + | 0.0138258i | ||||
\(559\) | −45.0914 | − | 18.6775i | −1.90716 | − | 0.789974i | ||||
\(560\) | 1.86448 | + | 3.47696i | 0.0787888 | + | 0.146928i | ||||
\(561\) | −15.1384 | − | 31.4703i | −0.639146 | − | 1.32868i | ||||
\(562\) | −12.6760 | − | 4.53075i | −0.534705 | − | 0.191118i | ||||
\(563\) | −9.96192 | − | 0.981164i | −0.419845 | − | 0.0413511i | −0.114111 | − | 0.993468i | \(-0.536402\pi\) |
−0.305734 | + | 0.952117i | \(0.598902\pi\) | |||||||
\(564\) | 17.9535 | + | 37.2582i | 0.755977 | + | 1.56885i | ||||
\(565\) | 7.43507 | − | 3.97413i | 0.312796 | − | 0.167193i | ||||
\(566\) | 8.38919 | − | 3.00488i | 0.352624 | − | 0.126304i | ||||
\(567\) | 7.28922 | − | 7.68323i | 0.306118 | − | 0.322665i | ||||
\(568\) | −12.8265 | − | 9.49276i | −0.538187 | − | 0.398307i | ||||
\(569\) | 6.59922 | − | 9.87644i | 0.276654 | − | 0.414042i | −0.666958 | − | 0.745095i | \(-0.732404\pi\) |
0.943612 | + | 0.331053i | \(0.107404\pi\) | |||||||
\(570\) | 4.72041 | + | 6.95995i | 0.197716 | + | 0.291520i | ||||
\(571\) | 5.54902 | − | 0.546531i | 0.232219 | − | 0.0228716i | 0.0187620 | − | 0.999824i | \(-0.494028\pi\) |
0.213457 | + | 0.976952i | \(0.431528\pi\) | |||||||
\(572\) | 22.3522 | + | 18.3188i | 0.934590 | + | 0.765949i | ||||
\(573\) | −24.9406 | + | 9.10937i | −1.04191 | + | 0.380549i | ||||
\(574\) | −2.61663 | − | 10.4313i | −0.109216 | − | 0.435394i | ||||
\(575\) | − | 8.12660i | − | 0.338903i | ||||||
\(576\) | −19.7507 | + | 13.6349i | −0.822946 | + | 0.568119i | ||||
\(577\) | 39.8029i | 1.65702i | 0.559977 | + | 0.828508i | \(0.310810\pi\) | ||||
−0.559977 | + | 0.828508i | \(0.689190\pi\) | |||||||
\(578\) | −34.9730 | + | 8.77277i | −1.45469 | + | 0.364899i | ||||
\(579\) | 0.411448 | − | 0.150278i | 0.0170992 | − | 0.00624536i | ||||
\(580\) | −1.36985 | − | 13.8132i | −0.0568801 | − | 0.573564i | ||||
\(581\) | −7.66037 | + | 0.754481i | −0.317806 | + | 0.0313011i | ||||
\(582\) | 18.4500 | − | 12.5132i | 0.764775 | − | 0.518690i | ||||
\(583\) | −1.98355 | + | 2.96859i | −0.0821502 | + | 0.122946i | ||||
\(584\) | −2.00513 | − | 3.33773i | −0.0829729 | − | 0.138116i | ||||
\(585\) | 8.98234 | − | 7.57153i | 0.371374 | − | 0.313044i | ||||
\(586\) | 1.18182 | + | 3.29948i | 0.0488207 | + | 0.136300i | ||||
\(587\) | 23.3349 | − | 12.4728i | 0.963136 | − | 0.514807i | 0.0866524 | − | 0.996239i | \(-0.472383\pi\) |
0.876484 | + | 0.481432i | \(0.159883\pi\) | |||||||
\(588\) | 18.3617 | + | 6.42018i | 0.757226 | + | 0.264764i | ||||
\(589\) | 0.386840 | + | 0.0381004i | 0.0159395 | + | 0.00156990i | ||||
\(590\) | −2.27085 | + | 6.35332i | −0.0934893 | + | 0.261562i | ||||
\(591\) | 13.9647 | + | 29.0303i | 0.574431 | + | 1.19415i | ||||
\(592\) | 2.37744 | − | 0.724677i | 0.0977122 | − | 0.0297840i | ||||
\(593\) | −34.3271 | − | 14.2187i | −1.40964 | − | 0.583893i | −0.457408 | − | 0.889257i | \(-0.651222\pi\) |
−0.952236 | + | 0.305364i | \(0.901222\pi\) | |||||||
\(594\) | −19.1473 | − | 12.2453i | −0.785624 | − | 0.502431i | ||||
\(595\) | 4.07900 | + | 4.97028i | 0.167223 | + | 0.203762i | ||||
\(596\) | 2.75623 | + | 13.8080i | 0.112899 | + | 0.565598i | ||||
\(597\) | 23.9406 | + | 5.82973i | 0.979822 | + | 0.238595i | ||||
\(598\) | −9.25481 | + | 8.39374i | −0.378457 | + | 0.343245i | ||||
\(599\) | −19.1059 | − | 3.80041i | −0.780647 | − | 0.155280i | −0.211348 | − | 0.977411i | \(-0.567785\pi\) |
−0.569299 | + | 0.822130i | \(0.692785\pi\) | |||||||
\(600\) | 10.0649 | + | 18.4914i | 0.410899 | + | 0.754909i | ||||
\(601\) | 3.11073 | + | 15.6387i | 0.126889 | + | 0.637915i | 0.990917 | + | 0.134472i | \(0.0429337\pi\) |
−0.864028 | + | 0.503443i | \(0.832066\pi\) | |||||||
\(602\) | −2.55672 | − | 17.1963i | −0.104204 | − | 0.700867i | ||||
\(603\) | −14.0833 | + | 21.6895i | −0.573516 | + | 0.883263i | ||||
\(604\) | 0.191695 | + | 0.630408i | 0.00779994 | + | 0.0256509i | ||||
\(605\) | −1.05997 | − | 0.566566i | −0.0430939 | − | 0.0230342i | ||||
\(606\) | −11.8642 | − | 14.2545i | −0.481952 | − | 0.579050i | ||||
\(607\) | 6.15210 | − | 6.15210i | 0.249706 | − | 0.249706i | −0.571144 | − | 0.820850i | \(-0.693500\pi\) |
0.820850 | + | 0.571144i | \(0.193500\pi\) | |||||||
\(608\) | 20.9629 | + | 9.87166i | 0.850156 | + | 0.400349i | ||||
\(609\) | 12.5795 | + | 11.2515i | 0.509745 | + | 0.455935i | ||||
\(610\) | 1.68465 | − | 11.3833i | 0.0682094 | − | 0.460897i | ||||
\(611\) | −49.1925 | − | 26.2939i | −1.99011 | − | 1.06374i | ||||
\(612\) | −27.2722 | + | 28.0370i | −1.10241 | + | 1.13333i | ||||
\(613\) | −9.72408 | + | 11.8488i | −0.392752 | + | 0.478570i | −0.931419 | − | 0.363949i | \(-0.881428\pi\) |
0.538667 | + | 0.842519i | \(0.318928\pi\) | |||||||
\(614\) | −19.0718 | − | 14.1347i | −0.769677 | − | 0.570431i | ||||
\(615\) | 2.33940 | + | 9.08545i | 0.0943338 | + | 0.366361i | ||||
\(616\) | −1.50023 | + | 10.1844i | −0.0604460 | + | 0.410342i | ||||
\(617\) | −36.8966 | − | 7.33919i | −1.48540 | − | 0.295465i | −0.615283 | − | 0.788306i | \(-0.710958\pi\) |
−0.870119 | + | 0.492842i | \(0.835958\pi\) | |||||||
\(618\) | −0.266370 | − | 38.5298i | −0.0107150 | − | 1.54990i | ||||
\(619\) | −25.0998 | − | 7.61395i | −1.00885 | − | 0.306030i | −0.257742 | − | 0.966214i | \(-0.582979\pi\) |
−0.751105 | + | 0.660183i | \(0.770479\pi\) | |||||||
\(620\) | −0.156048 | − | 0.0309309i | −0.00626703 | − | 0.00124222i | ||||
\(621\) | 6.45384 | − | 7.40941i | 0.258984 | − | 0.297329i | ||||
\(622\) | 47.8784 | − | 2.36823i | 1.91975 | − | 0.0949574i | ||||
\(623\) | 6.18093 | + | 2.56023i | 0.247634 | + | 0.102573i | ||||
\(624\) | 10.6628 | − | 30.5615i | 0.426853 | − | 1.22344i | ||||
\(625\) | 13.8170 | − | 5.72319i | 0.552680 | − | 0.228927i | ||||
\(626\) | 12.9898 | − | 6.14907i | 0.519178 | − | 0.245766i | ||||
\(627\) | −0.932515 | + | 21.9232i | −0.0372410 | + | 0.875527i | ||||
\(628\) | −0.0303498 | − | 45.1897i | −0.00121109 | − | 1.80327i | ||||
\(629\) | 3.57228 | − | 1.90942i | 0.142436 | − | 0.0761336i | ||||
\(630\) | 3.95869 | + | 1.35648i | 0.157718 | + | 0.0540436i | ||||
\(631\) | 1.95455 | + | 2.92519i | 0.0778094 | + | 0.116450i | 0.868333 | − | 0.495981i | \(-0.165192\pi\) |
−0.790524 | + | 0.612431i | \(0.790192\pi\) | |||||||
\(632\) | 15.6636 | − | 5.62234i | 0.623066 | − | 0.223645i | ||||
\(633\) | −13.7840 | + | 23.3440i | −0.547864 | + | 0.927841i | ||||
\(634\) | 1.24374 | − | 4.97239i | 0.0493954 | − | 0.197479i | ||||
\(635\) | 8.40438 | − | 0.827759i | 0.333518 | − | 0.0328486i | ||||
\(636\) | 3.88589 | + | 0.943481i | 0.154085 | + | 0.0374115i | ||||
\(637\) | −25.1045 | + | 7.61537i | −0.994677 | + | 0.301732i | ||||
\(638\) | 18.6098 | − | 31.0723i | 0.736770 | − | 1.23016i | ||||
\(639\) | −16.8204 | + | 1.88038i | −0.665403 | + | 0.0743866i | ||||
\(640\) | −8.14520 | − | 4.85606i | −0.321967 | − | 0.191953i | ||||
\(641\) | − | 2.30802i | − | 0.0911611i | −0.998961 | − | 0.0455806i | \(-0.985486\pi\) | ||
0.998961 | − | 0.0455806i | \(-0.0145138\pi\) | |||||||
\(642\) | −1.02367 | + | 1.94742i | −0.0404011 | + | 0.0768585i | ||||
\(643\) | 3.37186 | + | 11.1155i | 0.132973 | + | 0.438354i | 0.997989 | − | 0.0633912i | \(-0.0201916\pi\) |
−0.865016 | + | 0.501745i | \(0.832692\pi\) | |||||||
\(644\) | −4.25977 | − | 1.28906i | −0.167859 | − | 0.0507963i | ||||
\(645\) | 2.32398 | + | 14.9871i | 0.0915066 | + | 0.590118i | ||||
\(646\) | 36.6335 | + | 9.16314i | 1.44133 | + | 0.360519i | ||||
\(647\) | 24.0957 | − | 36.0618i | 0.947300 | − | 1.41773i | 0.0390825 | − | 0.999236i | \(-0.487556\pi\) |
0.908217 | − | 0.418499i | \(-0.137444\pi\) | |||||||
\(648\) | −5.50850 | + | 24.8527i | −0.216394 | + | 0.976306i | ||||
\(649\) | −14.6376 | + | 9.78051i | −0.574575 | + | 0.383919i | ||||
\(650\) | −25.6718 | − | 12.1313i | −1.00693 | − | 0.475829i | ||||
\(651\) | 0.165246 | − | 0.100528i | 0.00647649 | − | 0.00393999i | ||||
\(652\) | −0.0149927 | − | 22.3235i | −0.000587158 | − | 0.874257i | ||||
\(653\) | −27.7016 | − | 2.72837i | −1.08405 | − | 0.106769i | −0.459821 | − | 0.888012i | \(-0.652086\pi\) |
−0.624228 | + | 0.781242i | \(0.714586\pi\) | |||||||
\(654\) | 11.0275 | + | 20.2922i | 0.431207 | + | 0.793488i | ||||
\(655\) | −5.51061 | − | 13.3038i | −0.215317 | − | 0.519822i | ||||
\(656\) | 18.3028 | + | 18.2537i | 0.714603 | + | 0.712685i | ||||
\(657\) | −3.96750 | − | 1.14676i | −0.154787 | − | 0.0447392i | ||||
\(658\) | −0.981580 | − | 19.8445i | −0.0382660 | − | 0.773621i | ||||
\(659\) | −16.1806 | − | 19.7161i | −0.630305 | − | 0.768029i | 0.355726 | − | 0.934590i | \(-0.384234\pi\) |
−0.986031 | + | 0.166561i | \(0.946734\pi\) | |||||||
\(660\) | 1.25327 | − | 8.89249i | 0.0487833 | − | 0.346140i | ||||
\(661\) | 12.8061 | − | 42.2161i | 0.498100 | − | 1.64202i | −0.242561 | − | 0.970136i | \(-0.577987\pi\) |
0.740661 | − | 0.671879i | \(-0.234513\pi\) | |||||||
\(662\) | −3.93902 | − | 0.192186i | −0.153094 | − | 0.00746952i | ||||
\(663\) | 7.39682 | − | 52.2299i | 0.287269 | − | 2.02844i | ||||
\(664\) | 14.8494 | − | 11.0363i | 0.576268 | − | 0.428290i | ||||
\(665\) | −0.788182 | − | 3.96246i | −0.0305644 | − | 0.153658i | ||||
\(666\) | 1.32465 | − | 2.27922i | 0.0513292 | − | 0.0883180i | ||||
\(667\) | 12.1042 | + | 9.93367i | 0.468677 | + | 0.384633i | ||||
\(668\) | 5.20439 | − | 4.27699i | 0.201364 | − | 0.165482i | ||||
\(669\) | 27.8651 | + | 12.9556i | 1.07733 | + | 0.500893i | ||||
\(670\) | −10.1080 | − | 1.49591i | −0.390506 | − | 0.0577921i | ||||
\(671\) | 21.2311 | − | 21.2311i | 0.819619 | − | 0.819619i | ||||
\(672\) | 11.2893 | − | 2.34264i | 0.435494 | − | 0.0903692i | ||||
\(673\) | 22.6496 | + | 22.6496i | 0.873078 | + | 0.873078i | 0.992807 | − | 0.119728i | \(-0.0382023\pi\) |
−0.119728 | + | 0.992807i | \(0.538202\pi\) | |||||||
\(674\) | −17.9878 | − | 24.2367i | −0.692863 | − | 0.933563i | ||||
\(675\) | 21.1692 | + | 7.10652i | 0.814804 | + | 0.273530i | ||||
\(676\) | 5.13608 | + | 16.8905i | 0.197542 | + | 0.649636i | ||||
\(677\) | −20.0773 | + | 24.4643i | −0.771635 | + | 0.940240i | −0.999440 | − | 0.0334666i | \(-0.989345\pi\) |
0.227805 | + | 0.973707i | \(0.426845\pi\) | |||||||
\(678\) | −4.97344 | − | 24.1302i | −0.191004 | − | 0.926713i | ||||
\(679\) | −10.5040 | + | 2.08937i | −0.403106 | + | 0.0801828i | ||||
\(680\) | −14.5563 | − | 5.19180i | −0.558210 | − | 0.199097i | ||||
\(681\) | −5.33360 | + | 37.6612i | −0.204384 | + | 1.44318i | ||||
\(682\) | −0.278860 | − | 0.307467i | −0.0106781 | − | 0.0117735i | ||||
\(683\) | 31.9677 | + | 9.69728i | 1.22321 | + | 0.371056i | 0.834863 | − | 0.550458i | \(-0.185547\pi\) |
0.388345 | + | 0.921514i | \(0.373047\pi\) | |||||||
\(684\) | 23.4173 | − | 7.45865i | 0.895384 | − | 0.285189i | ||||
\(685\) | −0.300223 | + | 0.246387i | −0.0114709 | + | 0.00941396i | ||||
\(686\) | −15.5603 | − | 14.0935i | −0.594095 | − | 0.538093i | ||||
\(687\) | 9.33859 | + | 3.27227i | 0.356289 | + | 0.124845i | ||||
\(688\) | 26.5527 | + | 32.2661i | 1.01231 | + | 1.23013i | ||||
\(689\) | −4.98254 | + | 2.06383i | −0.189819 | + | 0.0786258i | ||||
\(690\) | 3.72301 | + | 1.10131i | 0.141733 | + | 0.0419263i | ||||
\(691\) | −1.53903 | + | 15.6260i | −0.0585474 | + | 0.594442i | 0.920491 | + | 0.390764i | \(0.127789\pi\) |
−0.979038 | + | 0.203677i | \(0.934711\pi\) | |||||||
\(692\) | 13.7548 | − | 33.2702i | 0.522878 | − | 1.26474i | ||||
\(693\) | 6.18504 | + | 8.99805i | 0.234950 | + | 0.341807i | ||||
\(694\) | 29.9445 | − | 10.7257i | 1.13668 | − | 0.407140i | ||||
\(695\) | 4.34476 | + | 6.50239i | 0.164806 | + | 0.246650i | ||||
\(696\) | −39.8452 | − | 7.61199i | −1.51033 | − | 0.288532i | ||||
\(697\) | 35.0274 | + | 23.4046i | 1.32676 | + | 0.886512i | ||||
\(698\) | 23.5399 | + | 39.2440i | 0.890998 | + | 1.48541i | ||||
\(699\) | −6.97578 | − | 44.9863i | −0.263848 | − | 1.70154i | ||||
\(700\) | −0.998115 | − | 10.0647i | −0.0377252 | − | 0.380411i | ||||
\(701\) | 31.0356 | − | 9.41454i | 1.17220 | − | 0.355582i | 0.356631 | − | 0.934245i | \(-0.383925\pi\) |
0.815567 | + | 0.578663i | \(0.196425\pi\) | |||||||
\(702\) | −13.7720 | − | 31.4483i | −0.519790 | − | 1.18694i | ||||
\(703\) | −2.54513 | −0.0959915 | ||||||||
\(704\) | −9.51487 | − | 22.8407i | −0.358605 | − | 0.860840i | ||||
\(705\) | 0.964328 | + | 17.3059i | 0.0363187 | + | 0.651779i | ||||
\(706\) | −47.5151 | + | 11.9189i | −1.78825 | + | 0.448573i | ||||
\(707\) | 2.58632 | + | 8.52596i | 0.0972687 | + | 0.320652i | ||||
\(708\) | 15.9218 | + | 11.6304i | 0.598377 | + | 0.437099i | ||||
\(709\) | 3.46638 | + | 35.1947i | 0.130183 | + | 1.32177i | 0.809152 | + | 0.587599i | \(0.199927\pi\) |
−0.678970 | + | 0.734166i | \(0.737573\pi\) | |||||||
\(710\) | −3.43998 | − | 5.73489i | −0.129100 | − | 0.215227i | ||||
\(711\) | 8.11542 | − | 15.6755i | 0.304352 | − | 0.587876i | ||||
\(712\) | −15.9040 | + | 2.37551i | −0.596028 | + | 0.0890262i | ||||
\(713\) | 0.149212 | − | 0.0997001i | 0.00558802 | − | 0.00373380i | ||||
\(714\) | 17.3099 | − | 7.31059i | 0.647806 | − | 0.273592i | ||||
\(715\) | 5.70937 | + | 10.6815i | 0.213518 | + | 0.399465i | ||||
\(716\) | −6.86473 | − | 16.5415i | −0.256547 | − | 0.618185i | ||||
\(717\) | −0.0359731 | + | 0.845718i | −0.00134344 | + | 0.0315839i | ||||
\(718\) | −15.7413 | + | 44.0407i | −0.587461 | + | 1.64358i | ||||
\(719\) | 1.97161 | + | 4.75990i | 0.0735288 | + | 0.177514i | 0.956371 | − | 0.292156i | \(-0.0943727\pi\) |
−0.882842 | + | 0.469670i | \(0.844373\pi\) | |||||||
\(720\) | −9.83540 | + | 2.10506i | −0.366544 | + | 0.0784509i | ||||
\(721\) | −7.08365 | + | 17.1014i | −0.263809 | + | 0.636891i | ||||
\(722\) | 2.32921 | + | 2.10965i | 0.0866843 | + | 0.0785131i | ||||
\(723\) | −19.6273 | − | 21.3712i | −0.729949 | − | 0.794805i | ||||
\(724\) | 12.6178 | + | 8.41872i | 0.468938 | + | 0.312879i | ||||
\(725\) | −10.3297 | + | 34.0526i | −0.383637 | + | 1.26468i | ||||
\(726\) | −2.46640 | + | 2.50074i | −0.0915368 | + | 0.0928113i | ||||
\(727\) | −7.77843 | + | 39.1048i | −0.288486 | + | 1.45032i | 0.516124 | + | 0.856514i | \(0.327374\pi\) |
−0.804610 | + | 0.593803i | \(0.797626\pi\) | |||||||
\(728\) | −10.4311 | + | 11.5323i | −0.386602 | + | 0.427414i | ||||
\(729\) | 13.6573 | + | 23.2912i | 0.505825 | + | 0.862636i | ||||
\(730\) | −0.239979 | − | 1.61407i | −0.00888201 | − | 0.0597395i | ||||
\(731\) | 52.6428 | + | 43.2029i | 1.94707 | + | 1.59792i | ||||
\(732\) | −30.5035 | − | 14.1574i | −1.12744 | − | 0.523274i | ||||
\(733\) | 5.63031 | − | 10.5336i | 0.207960 | − | 0.389066i | −0.756219 | − | 0.654319i | \(-0.772955\pi\) |
0.964179 | + | 0.265253i | \(0.0854554\pi\) | |||||||
\(734\) | 15.5154 | + | 20.9054i | 0.572682 | + | 0.771631i | ||||
\(735\) | 6.07614 | + | 5.43473i | 0.224122 | + | 0.200463i | ||||
\(736\) | 10.3723 | − | 2.61664i | 0.382328 | − | 0.0964507i | ||||
\(737\) | −18.8525 | − | 18.8525i | −0.694442 | − | 0.694442i | ||||
\(738\) | 27.4000 | + | 0.975761i | 1.00861 | + | 0.0359183i | ||||
\(739\) | −17.9691 | + | 33.6179i | −0.661005 | + | 1.23665i | 0.298351 | + | 0.954456i | \(0.403563\pi\) |
−0.959356 | + | 0.282198i | \(0.908937\pi\) | |||||||
\(740\) | 1.03667 | + | 0.101400i | 0.0381088 | + | 0.00372755i | ||||
\(741\) | −19.5693 | + | 26.7521i | −0.718897 | + | 0.982764i | ||||
\(742\) | −1.54338 | − | 1.14385i | −0.0566594 | − | 0.0419920i | ||||
\(743\) | 4.55660 | − | 0.906364i | 0.167165 | − | 0.0332513i | −0.110798 | − | 0.993843i | \(-0.535341\pi\) |
0.277963 | + | 0.960592i | \(0.410341\pi\) | |||||||
\(744\) | −0.216039 | + | 0.411661i | −0.00792037 | + | 0.0150922i | ||||
\(745\) | −1.15122 | + | 5.78757i | −0.0421774 | + | 0.212040i | ||||
\(746\) | −3.34262 | − | 0.163087i | −0.122382 | − | 0.00597104i | ||||
\(747\) | 3.57489 | − | 19.2954i | 0.130798 | − | 0.705981i | ||||
\(748\) | −22.4257 | − | 33.5136i | −0.819963 | − | 1.22538i | ||||
\(749\) | 0.817022 | − | 0.670512i | 0.0298533 | − | 0.0245000i | ||||
\(750\) | 2.00230 | + | 18.9834i | 0.0731138 | + | 0.693176i | ||||
\(751\) | 17.0867 | − | 41.2509i | 0.623502 | − | 1.50527i | −0.224063 | − | 0.974575i | \(-0.571932\pi\) |
0.847565 | − | 0.530692i | \(-0.178068\pi\) | |||||||
\(752\) | 26.5853 | + | 39.6723i | 0.969466 | + | 1.44670i | ||||
\(753\) | 20.3864 | + | 42.3799i | 0.742920 | + | 1.54441i | ||||
\(754\) | 49.4494 | − | 23.4081i | 1.80084 | − | 0.852474i | ||||
\(755\) | −0.0270666 | + | 0.274812i | −0.000985056 | + | 0.0100014i | ||||
\(756\) | 7.08300 | − | 9.96916i | 0.257606 | − | 0.362575i | ||||
\(757\) | −11.5396 | − | 21.5890i | −0.419412 | − | 0.784666i | 0.580142 | − | 0.814515i | \(-0.302997\pi\) |
−0.999554 | + | 0.0298498i | \(0.990497\pi\) | |||||||
\(758\) | −32.3667 | − | 15.2950i | −1.17561 | − | 0.555540i | ||||
\(759\) | 6.08804 | + | 8.09692i | 0.220982 | + | 0.293899i | ||||
\(760\) | 6.52855 | + | 7.18857i | 0.236815 | + | 0.260757i | ||||
\(761\) | 27.2556 | + | 18.2116i | 0.988016 | + | 0.660171i | 0.940888 | − | 0.338718i | \(-0.109993\pi\) |
0.0471280 | + | 0.998889i | \(0.484993\pi\) | |||||||
\(762\) | 4.64733 | − | 24.2382i | 0.168355 | − | 0.878059i | ||||
\(763\) | −1.08750 | − | 11.0416i | −0.0393702 | − | 0.399732i | ||||
\(764\) | −27.0297 | + | 14.4710i | −0.977902 | + | 0.523544i | ||||
\(765\) | −15.0604 | + | 6.47161i | −0.544509 | + | 0.233981i | ||||
\(766\) | 6.77577 | − | 11.3133i | 0.244819 | − | 0.408766i | ||||
\(767\) | −26.5922 | −0.960187 | ||||||||
\(768\) | −20.3606 | + | 18.8002i | −0.734698 | + | 0.678394i | ||||
\(769\) | −26.7317 | −0.963971 | −0.481985 | − | 0.876179i | \(-0.660084\pi\) | ||||
−0.481985 | + | 0.876179i | \(0.660084\pi\) | |||||||
\(770\) | −2.21672 | + | 3.70119i | −0.0798851 | + | 0.133382i | ||||
\(771\) | 35.3679 | − | 12.9179i | 1.27375 | − | 0.465226i | ||||
\(772\) | 0.445913 | − | 0.238731i | 0.0160488 | − | 0.00859210i | ||||
\(773\) | 0.110384 | + | 1.12075i | 0.00397025 | + | 0.0403106i | 0.996966 | − | 0.0778417i | \(-0.0248029\pi\) |
−0.992995 | + | 0.118152i | \(0.962303\pi\) | |||||||
\(774\) | 43.9258 | + | 5.91132i | 1.57888 | + | 0.212478i | ||||
\(775\) | 0.339091 | + | 0.226574i | 0.0121805 | + | 0.00813877i | ||||
\(776\) | 19.0560 | − | 17.3064i | 0.684071 | − | 0.621262i | ||||
\(777\) | −1.01224 | + | 0.761098i | −0.0363139 | + | 0.0273042i | ||||
\(778\) | −48.8224 | − | 23.0712i | −1.75037 | − | 0.827143i | ||||
\(779\) | −12.4780 | − | 23.3446i | −0.447069 | − | 0.836408i | ||||
\(780\) | 9.03671 | − | 10.1169i | 0.323566 | − | 0.362243i | ||||
\(781\) | 1.71033 | − | 17.3653i | 0.0612004 | − | 0.621378i | ||||
\(782\) | 15.7572 | − | 7.45909i | 0.563477 | − | 0.266737i | ||||
\(783\) | −36.4614 | + | 22.8439i | −1.30302 | + | 0.816374i | ||||
\(784\) | 22.0353 | + | 4.35233i | 0.786974 | + | 0.155440i | ||||
\(785\) | 7.24747 | − | 17.4969i | 0.258673 | − | 0.624492i | ||||
\(786\) | −41.8501 | + | 4.41420i | −1.49274 | + | 0.157449i | ||||
\(787\) | 19.9760 | − | 16.3938i | 0.712066 | − | 0.584377i | −0.207066 | − | 0.978327i | \(-0.566392\pi\) |
0.919132 | + | 0.393950i | \(0.128892\pi\) | |||||||
\(788\) | 20.6869 | + | 30.9152i | 0.736940 | + | 1.10131i | ||||
\(789\) | 16.8896 | + | 4.11275i | 0.601285 | + | 0.146418i | ||||
\(790\) | 6.96625 | + | 0.339885i | 0.247848 | + | 0.0120926i | ||||
\(791\) | −2.30909 | + | 11.6086i | −0.0821016 | + | 0.412753i | ||||
\(792\) | −23.8810 | − | 10.8837i | −0.848574 | − | 0.386736i | ||||
\(793\) | 44.4829 | − | 8.84820i | 1.57963 | − | 0.314209i | ||||
\(794\) | −13.5162 | − | 10.0172i | −0.479671 | − | 0.355499i | ||||
\(795\) | 1.35259 | + | 0.989426i | 0.0479715 | + | 0.0350913i | ||||
\(796\) | 28.3168 | + | 2.76977i | 1.00366 | + | 0.0981717i | ||||
\(797\) | −13.5595 | + | 25.3681i | −0.480303 | + | 0.898584i | 0.518744 | + | 0.854930i | \(0.326400\pi\) |
−0.999047 | + | 0.0436539i | \(0.986100\pi\) | |||||||
\(798\) | −11.7576 | − | 1.07601i | −0.416214 | − | 0.0380902i | ||||
\(799\) | 55.0337 | + | 55.0337i | 1.94695 | + | 1.94695i | ||||
\(800\) | 14.5143 | + | 19.5017i | 0.513157 | + | 0.689489i | ||||
\(801\) | −10.6458 | + | 13.3256i | −0.376150 | + | 0.470836i | ||||
\(802\) | −23.0657 | − | 31.0787i | −0.814478 | − | 1.09743i | ||||
\(803\) | 2.00711 | − | 3.75505i | 0.0708295 | − | 0.132513i | ||||
\(804\) | −12.5713 | + | 27.0861i | −0.443357 | + | 0.955254i | ||||
\(805\) | −1.44180 | − | 1.18326i | −0.0508168 | − | 0.0417043i | ||||
\(806\) | −0.0922092 | − | 0.620189i | −0.00324793 | − | 0.0218452i | ||||
\(807\) | −12.8663 | − | 49.9683i | −0.452914 | − | 1.75897i | ||||
\(808\) | −15.8819 | − | 14.3654i | −0.558725 | − | 0.505374i | ||||
\(809\) | −0.164164 | + | 0.825306i | −0.00577169 | + | 0.0290162i | −0.983564 | − | 0.180561i | \(-0.942209\pi\) |
0.977792 | + | 0.209577i | \(0.0672087\pi\) | |||||||
\(810\) | −6.12454 | + | 8.73511i | −0.215194 | + | 0.306921i | ||||
\(811\) | −15.9381 | + | 52.5409i | −0.559663 | + | 1.84496i | −0.0253411 | + | 0.999679i | \(0.508067\pi\) |
−0.534321 | + | 0.845281i | \(0.679433\pi\) | |||||||
\(812\) | 16.2110 | + | 10.8161i | 0.568896 | + | 0.379572i | ||||
\(813\) | −11.1294 | + | 10.2213i | −0.390326 | + | 0.358475i | ||||
\(814\) | 2.01440 | + | 1.82451i | 0.0706047 | + | 0.0639492i | ||||
\(815\) | 3.58022 | − | 8.64342i | 0.125410 | − | 0.302766i | ||||
\(816\) | −26.6161 | + | 36.4881i | −0.931749 | + | 1.27734i | ||||
\(817\) | −16.3753 | − | 39.5334i | −0.572899 | − | 1.38310i | ||||
\(818\) | 7.50020 | − | 20.9839i | 0.262238 | − | 0.733684i | ||||
\(819\) | 0.216959 | + | 16.4918i | 0.00758117 | + | 0.576269i | ||||
\(820\) | 4.15240 | + | 10.0058i | 0.145008 | + | 0.349416i | ||||
\(821\) | −6.98407 | − | 13.0663i | −0.243746 | − | 0.456016i | 0.730065 | − | 0.683378i | \(-0.239490\pi\) |
−0.973810 | + | 0.227362i | \(0.926990\pi\) | |||||||
\(822\) | 0.441587 | + | 1.04558i | 0.0154021 | + | 0.0364688i | ||||
\(823\) | 7.93118 | − | 5.29945i | 0.276464 | − | 0.184727i | −0.409607 | − | 0.912262i | \(-0.634334\pi\) |
0.686071 | + | 0.727535i | \(0.259334\pi\) | |||||||
\(824\) | −6.57259 | − | 44.0033i | −0.228967 | − | 1.53293i | ||||
\(825\) | −11.7054 | + | 19.8239i | −0.407531 | + | 0.690178i | ||||
\(826\) | −4.87248 | − | 8.12305i | −0.169535 | − | 0.282637i | ||||
\(827\) | −3.37499 | − | 34.2669i | −0.117360 | − | 1.19158i | −0.855818 | − | 0.517277i | \(-0.826946\pi\) |
0.738458 | − | 0.674299i | \(-0.235554\pi\) | |||||||
\(828\) | 6.17255 | − | 9.52024i | 0.214511 | − | 0.330851i | ||||
\(829\) | 15.0390 | + | 49.5768i | 0.522325 | + | 1.72187i | 0.678921 | + | 0.734211i | \(0.262448\pi\) |
−0.156597 | + | 0.987663i | \(0.550052\pi\) | |||||||
\(830\) | 7.52076 | − | 1.88654i | 0.261049 | − | 0.0654826i | ||||
\(831\) | 18.0792 | − | 1.00741i | 0.627159 | − | 0.0349468i | ||||
\(832\) | 7.21774 | − | 36.6720i | 0.250230 | − | 1.27137i | ||||
\(833\) | 36.6051 | 1.26829 | ||||||||
\(834\) | 21.8237 | − | 6.78525i | 0.755693 | − | 0.234954i | ||||
\(835\) | 2.70157 | − | 0.819512i | 0.0934916 | − | 0.0283604i | ||||
\(836\) | 2.50045 | + | 25.2139i | 0.0864799 | + | 0.872041i | ||||
\(837\) | 0.129230 | + | 0.475872i | 0.00446683 | + | 0.0164485i | ||||
\(838\) | −4.90417 | − | 8.17589i | −0.169412 | − | 0.282431i | ||||
\(839\) | 17.9492 | + | 11.9933i | 0.619677 | + | 0.414055i | 0.825394 | − | 0.564557i | \(-0.190953\pi\) |
−0.205718 | + | 0.978611i | \(0.565953\pi\) | |||||||
\(840\) | 4.74618 | + | 0.906707i | 0.163759 | + | 0.0312843i | ||||
\(841\) | −21.9816 | − | 32.8978i | −0.757986 | − | 1.13441i | ||||
\(842\) | −24.2869 | + | 8.69919i | −0.836981 | + | 0.299794i | ||||
\(843\) | −14.0851 | + | 8.56872i | −0.485117 | + | 0.295122i | ||||
\(844\) | −11.9600 | + | 28.9289i | −0.411679 | + | 0.995773i | ||||
\(845\) | −0.725198 | + | 7.36305i | −0.0249476 | + | 0.253297i | ||||
\(846\) | 49.2968 | + | 11.6438i | 1.69486 | + | 0.400321i | ||||
\(847\) | 1.55893 | − | 0.645732i | 0.0535656 | − | 0.0221876i | ||||
\(848\) | 4.59577 | + | 0.446411i | 0.157819 | + | 0.0153298i | ||||
\(849\) | 3.60909 | − | 10.2998i | 0.123864 | − | 0.353489i | ||||
\(850\) | 29.3644 | + | 26.5964i | 1.00719 | + | 0.912249i | ||||
\(851\) | −0.908291 | + | 0.745415i | −0.0311358 | + | 0.0255525i | ||||
\(852\) | −18.9228 | + | 4.88597i | −0.648286 | + | 0.167391i | ||||
\(853\) | −33.3990 | − | 10.1315i | −1.14356 | − | 0.346895i | −0.339011 | − | 0.940782i | \(-0.610093\pi\) |
−0.804548 | + | 0.593887i | \(0.797593\pi\) | |||||||
\(854\) | 10.8534 | + | 11.9668i | 0.371397 | + | 0.409497i | ||||
\(855\) | 10.2625 | + | 0.874629i | 0.350971 | + | 0.0299117i | ||||
\(856\) | −0.853436 | + | 2.39279i | −0.0291698 | + | 0.0817839i | ||||
\(857\) | −28.6777 | + | 5.70434i | −0.979611 | + | 0.194857i | −0.658826 | − | 0.752295i | \(-0.728947\pi\) |
−0.320785 | + | 0.947152i | \(0.603947\pi\) | |||||||
\(858\) | 34.6662 | − | 7.14502i | 1.18348 | − | 0.243927i | ||||
\(859\) | 17.6129 | − | 21.4614i | 0.600944 | − | 0.732252i | −0.380334 | − | 0.924849i | \(-0.624191\pi\) |
0.981278 | + | 0.192597i | \(0.0616911\pi\) | |||||||
\(860\) | 5.09486 | + | 16.7550i | 0.173733 | + | 0.571340i | ||||
\(861\) | −11.9437 | − | 5.55310i | −0.407039 | − | 0.189249i | ||||
\(862\) | −30.5256 | − | 41.1301i | −1.03971 | − | 1.40090i | ||||
\(863\) | 41.3501 | + | 41.3501i | 1.40757 | + | 1.40757i | 0.772230 | + | 0.635343i | \(0.219141\pi\) |
0.635343 | + | 0.772230i | \(0.280859\pi\) | |||||||
\(864\) | −2.25416 | + | 29.3073i | −0.0766881 | + | 0.997055i | ||||
\(865\) | 10.6687 | − | 10.6687i | 0.362746 | − | 0.362746i | ||||
\(866\) | 52.0266 | + | 7.69956i | 1.76793 | + | 0.261642i | ||||
\(867\) | −18.6179 | + | 40.0435i | −0.632296 | + | 1.35995i | ||||
\(868\) | 0.172552 | − | 0.141804i | 0.00585680 | − | 0.00481314i | ||||
\(869\) | 14.0675 | + | 11.5449i | 0.477206 | + | 0.391633i | ||||
\(870\) | −14.2005 | − | 9.34712i | −0.481442 | − | 0.316897i | ||||
\(871\) | −7.85690 | − | 39.4993i | −0.266221 | − | 1.33838i | ||||
\(872\) | 15.9076 | + | 21.4038i | 0.538698 | + | 0.724823i | ||||
\(873\) | 2.31853 | − | 27.2047i | 0.0784704 | − | 0.920740i | ||||
\(874\) | −10.9412 | − | 0.533823i | −0.370091 | − | 0.0180568i | ||||
\(875\) | 2.66202 | − | 8.77549i | 0.0899926 | − | 0.296666i | ||||
\(876\) | −4.72214 | − | 0.665515i | −0.159546 | − | 0.0224857i | ||||
\(877\) | 21.7467 | + | 26.4984i | 0.734333 | + | 0.894788i | 0.997551 | − | 0.0699487i | \(-0.0222836\pi\) |
−0.263217 | + | 0.964737i | \(0.584784\pi\) | |||||||
\(878\) | −0.199748 | − | 4.03830i | −0.00674117 | − | 0.136286i | ||||
\(879\) | 4.05093 | + | 1.41946i | 0.136635 | + | 0.0478773i | ||||
\(880\) | −0.0139287 | − | 10.3696i | −0.000469535 | − | 0.349560i | ||||
\(881\) | 1.04370 | + | 2.51971i | 0.0351630 | + | 0.0848911i | 0.940486 | − | 0.339834i | \(-0.110371\pi\) |
−0.905322 | + | 0.424725i | \(0.860371\pi\) | |||||||
\(882\) | 20.2670 | − | 12.5223i | 0.682425 | − | 0.421647i | ||||
\(883\) | 3.76726 | + | 0.371042i | 0.126778 | + | 0.0124866i | 0.161207 | − | 0.986921i | \(-0.448461\pi\) |
−0.0344290 | + | 0.999407i | \(0.510961\pi\) | |||||||
\(884\) | −0.0409088 | − | 60.9117i | −0.00137591 | − | 2.04868i | ||||
\(885\) | 4.29471 | + | 7.05957i | 0.144365 | + | 0.237305i | ||||
\(886\) | −3.49428 | − | 1.65124i | −0.117393 | − | 0.0554744i | ||||
\(887\) | 32.5239 | − | 21.7318i | 1.09205 | − | 0.729682i | 0.127037 | − | 0.991898i | \(-0.459453\pi\) |
0.965009 | + | 0.262216i | \(0.0844534\pi\) | |||||||
\(888\) | 1.14353 | − | 2.82106i | 0.0383744 | − | 0.0946687i | ||||
\(889\) | −6.58703 | + | 9.85819i | −0.220922 | + | 0.330633i | ||||
\(890\) | −6.53773 | − | 1.63528i | −0.219145 | − | 0.0548148i | ||||
\(891\) | −26.4158 | + | 8.77836i | −0.884961 | + | 0.294086i | ||||
\(892\) | 33.9625 | + | 10.2775i | 1.13715 | + | 0.344117i | ||||
\(893\) | −14.1959 | − | 46.7976i | −0.475048 | − | 1.56602i | ||||
\(894\) | 15.2645 | + | 8.02386i | 0.510521 | + | 0.268358i | ||||
\(895\) | − | 7.50563i | − | 0.250886i | ||||||
\(896\) | 12.5246 | − | 4.51462i | 0.418418 | − | 0.150823i | ||||
\(897\) | 0.851358 | + | 15.2786i | 0.0284260 | + | 0.510137i | ||||
\(898\) | 14.6015 | − | 24.3797i | 0.487258 | − | 0.813561i | ||||
\(899\) | −0.751965 | + | 0.228106i | −0.0250794 | + | 0.00760777i | ||||
\(900\) | 25.3564 | + | 4.68022i | 0.845214 | + | 0.156007i | ||||
\(901\) | 7.48883 | − | 0.737585i | 0.249489 | − | 0.0245725i | ||||
\(902\) | −6.85897 | + | 27.4216i | −0.228379 | + | 0.913040i | ||||
\(903\) | −18.3348 | − | 10.8262i | −0.610144 | − | 0.360273i | ||||
\(904\) | −9.61108 | − | 26.7761i | −0.319660 | − | 0.890560i | ||||
\(905\) | 3.53175 | + | 5.28564i | 0.117399 | + | 0.175700i | ||||
\(906\) | 0.747684 | + | 0.303662i | 0.0248401 | + | 0.0100885i | ||||
\(907\) | −34.9626 | + | 18.6879i | −1.16091 | + | 0.620522i | −0.935356 | − | 0.353708i | \(-0.884921\pi\) |
−0.225559 | + | 0.974230i | \(0.572421\pi\) | |||||||
\(908\) | 0.0294979 | + | 43.9214i | 0.000978924 | + | 1.45758i | ||||
\(909\) | −22.7121 | + | 0.298791i | −0.753312 | + | 0.00991027i | ||||
\(910\) | −5.89020 | + | 2.78828i | −0.195258 | + | 0.0924304i | ||||
\(911\) | 27.1885 | − | 11.2618i | 0.900794 | − | 0.373121i | 0.116269 | − | 0.993218i | \(-0.462907\pi\) |
0.784525 | + | 0.620097i | \(0.212907\pi\) | |||||||
\(912\) | 25.5569 | − | 12.3362i | 0.846274 | − | 0.408491i | ||||
\(913\) | 18.6914 | + | 7.74225i | 0.618596 | + | 0.256231i | ||||
\(914\) | 10.0849 | − | 0.498832i | 0.333577 | − | 0.0164999i | ||||
\(915\) | −9.53309 | − | 10.3801i | −0.315154 | − | 0.343156i | ||||
\(916\) | 11.2081 | + | 2.22160i | 0.370325 | + | 0.0734036i | ||||
\(917\) | 19.3461 | + | 5.86858i | 0.638865 | + | 0.193798i | ||||
\(918\) | 5.65109 | + | 47.5693i | 0.186514 | + | 1.57002i | ||||
\(919\) | 6.48749 | + | 1.29044i | 0.214003 | + | 0.0425677i | 0.300927 | − | 0.953647i | \(-0.402704\pi\) |
−0.0869246 | + | 0.996215i | \(0.527704\pi\) | |||||||
\(920\) | 4.43525 | + | 0.653341i | 0.146226 | + | 0.0215400i | ||||
\(921\) | −28.1555 | + | 7.24971i | −0.927754 | + | 0.238886i | ||||
\(922\) | −18.8141 | − | 13.9437i | −0.619611 | − | 0.459212i | ||||
\(923\) | 16.7212 | − | 20.3748i | 0.550385 | − | 0.670646i | ||||
\(924\) | 8.53445 | + | 9.28022i | 0.280763 | + | 0.305297i | ||||
\(925\) | −2.35496 | − | 1.25875i | −0.0774306 | − | 0.0413875i | ||||
\(926\) | −1.96886 | + | 13.3038i | −0.0647007 | + | 0.437188i | ||||
\(927\) | −36.8693 | − | 29.4548i | −1.21095 | − | 0.967422i | ||||
\(928\) | −46.7887 | − | 2.21984i | −1.53591 | − | 0.0728697i | ||||
\(929\) | −30.6689 | + | 30.6689i | −1.00621 | + | 1.00621i | −0.00623423 | + | 0.999981i | \(0.501984\pi\) |
−0.999981 | + | 0.00623423i | \(0.998016\pi\) | |||||||
\(930\) | −0.149753 | + | 0.124642i | −0.00491059 | + | 0.00408716i | ||||
\(931\) | −20.2846 | − | 10.8424i | −0.664802 | − | 0.355344i | ||||
\(932\) | −15.2930 | − | 50.2927i | −0.500939 | − | 1.64739i | ||||
\(933\) | 34.6629 | − | 47.3857i | 1.13481 | − | 1.55134i | ||||
\(934\) | −2.85785 | − | 19.2216i | −0.0935116 | − | 0.628949i | ||||
\(935\) | −3.29695 | − | 16.5749i | −0.107822 | − | 0.542057i | ||||
\(936\) | −20.8600 | − | 33.7107i | −0.681829 | − | 1.10187i | ||||
\(937\) | −25.0268 | − | 4.97813i | −0.817589 | − | 0.162629i | −0.231458 | − | 0.972845i | \(-0.574350\pi\) |
−0.586131 | + | 0.810216i | \(0.699350\pi\) | |||||||
\(938\) | 10.6261 | − | 9.63748i | 0.346956 | − | 0.314675i | ||||
\(939\) | 4.16447 | − | 17.1020i | 0.135902 | − | 0.558101i | ||||
\(940\) | 3.91775 | + | 19.6270i | 0.127783 | + | 0.640162i | ||||
\(941\) | 4.75635 | + | 5.79563i | 0.155053 | + | 0.188932i | 0.844743 | − | 0.535172i | \(-0.179753\pi\) |
−0.689690 | + | 0.724104i | \(0.742253\pi\) | |||||||
\(942\) | −43.0247 | − | 34.8145i | −1.40182 | − | 1.13432i | ||||
\(943\) | −11.2902 | − | 4.67656i | −0.367660 | − | 0.152290i | ||||
\(944\) | 20.0936 | + | 10.7056i | 0.653990 | + | 0.348436i | ||||
\(945\) | 4.34312 | − | 2.72106i | 0.141282 | − | 0.0885162i | ||||
\(946\) | −15.3795 | + | 43.0284i | −0.500031 | + | 1.39898i | ||||
\(947\) | 31.7734 | + | 3.12941i | 1.03250 | + | 0.101692i | 0.600046 | − | 0.799965i | \(-0.295149\pi\) |
0.432451 | + | 0.901658i | \(0.357649\pi\) | |||||||
\(948\) | 6.72731 | − | 19.2401i | 0.218493 | − | 0.624891i | ||||
\(949\) | 5.67213 | − | 3.03182i | 0.184125 | − | 0.0984170i | ||||
\(950\) | −8.39441 | − | 23.4360i | −0.272350 | − | 0.760364i | ||||
\(951\) | −3.77260 | − | 5.01745i | −0.122335 | − | 0.162702i | ||||
\(952\) | 18.5991 | − | 11.1733i | 0.602799 | − | 0.362130i | ||||
\(953\) | −18.2997 | + | 27.3875i | −0.592786 | + | 0.887167i | −0.999654 | − | 0.0263199i | \(-0.991621\pi\) |
0.406867 | + | 0.913487i | \(0.366621\pi\) | |||||||
\(954\) | 3.89398 | − | 2.97023i | 0.126072 | − | 0.0961648i | ||||
\(955\) | −12.7873 | + | 1.25944i | −0.413787 | + | 0.0407545i | ||||
\(956\) | 0.0964586 | + | 0.972663i | 0.00311969 | + | 0.0314582i | ||||
\(957\) | −15.2185 | − | 41.6667i | −0.491943 | − | 1.34689i | ||||
\(958\) | −13.1426 | + | 3.29674i | −0.424618 | + | 0.106513i | ||||
\(959\) | − | 0.545266i | − | 0.0176075i | ||||||
\(960\) | −10.9012 | + | 4.00650i | −0.351835 | + | 0.129309i | ||||
\(961\) | − | 30.9910i | − | 0.999709i | ||||||
\(962\) | 0.998867 | + | 3.98203i | 0.0322048 | + | 0.128386i | ||||
\(963\) | 1.06381 | + | 2.47565i | 0.0342809 | + | 0.0797766i | ||||
\(964\) | −25.9143 | − | 21.2382i | −0.834645 | − | 0.684038i | ||||
\(965\) | 0.210954 | − | 0.0207771i | 0.00679083 | − | 0.000668839i | ||||
\(966\) | −4.51112 | + | 3.05955i | −0.145143 | + | 0.0984395i | ||||
\(967\) | 12.7115 | − | 19.0241i | 0.408774 | − | 0.611773i | −0.568772 | − | 0.822495i | \(-0.692581\pi\) |
0.977546 | + | 0.210722i | \(0.0675815\pi\) | |||||||
\(968\) | −2.41273 | + | 3.26005i | −0.0775480 | + | 0.104782i | ||||
\(969\) | 36.9655 | − | 27.7942i | 1.18750 | − | 0.892879i | ||||
\(970\) | 10.1563 | − | 3.63782i | 0.326099 | − | 0.116803i | ||||
\(971\) | −20.9885 | + | 11.2186i | −0.673554 | + | 0.360022i | −0.772450 | − | 0.635076i | \(-0.780969\pi\) |
0.0988961 | + | 0.995098i | \(0.468469\pi\) | |||||||
\(972\) | 19.4018 | + | 24.4043i | 0.622313 | + | 0.782768i | ||||
\(973\) | −10.9265 | − | 1.07616i | −0.350286 | − | 0.0345002i | ||||
\(974\) | 9.11212 | + | 3.25692i | 0.291971 | + | 0.104358i | ||||
\(975\) | −31.3380 | + | 15.0748i | −1.00362 | + | 0.482779i | ||||
\(976\) | −37.1743 | − | 11.2222i | −1.18992 | − | 0.359214i | ||||
\(977\) | −10.1915 | − | 4.22148i | −0.326056 | − | 0.135057i | 0.213650 | − | 0.976910i | \(-0.431465\pi\) |
−0.539706 | + | 0.841853i | \(0.681465\pi\) | |||||||
\(978\) | −21.2540 | − | 17.1982i | −0.679628 | − | 0.549938i | ||||
\(979\) | −11.1552 | − | 13.5927i | −0.356523 | − | 0.434424i | ||||
\(980\) | 7.83028 | + | 5.22442i | 0.250129 | + | 0.166888i | ||||
\(981\) | 27.8122 | + | 5.15281i | 0.887974 | + | 0.164517i | ||||
\(982\) | 14.3877 | + | 15.8637i | 0.459131 | + | 0.506231i | ||||
\(983\) | 20.1647 | + | 4.01100i | 0.643153 | + | 0.127931i | 0.505882 | − | 0.862603i | \(-0.331167\pi\) |
0.137270 | + | 0.990534i | \(0.456167\pi\) | |||||||
\(984\) | 31.4819 | − | 3.34198i | 1.00361 | − | 0.106539i | ||||
\(985\) | 3.04132 | + | 15.2898i | 0.0969047 | + | 0.487173i | ||||
\(986\) | −75.5082 | + | 11.2265i | −2.40467 | + | 0.357524i | ||||
\(987\) | −19.6403 | − | 14.3670i | −0.625159 | − | 0.457307i | ||||
\(988\) | −18.0192 | + | 33.7662i | −0.573269 | + | 1.07424i | ||||
\(989\) | −17.4224 | − | 9.31247i | −0.554000 | − | 0.296119i | ||||
\(990\) | −7.49552 | − | 8.04909i | −0.238223 | − | 0.255817i | ||||
\(991\) | 28.6749 | − | 28.6749i | 0.910887 | − | 0.910887i | −0.0854551 | − | 0.996342i | \(-0.527234\pi\) |
0.996342 | + | 0.0854551i | \(0.0272344\pi\) | |||||||
\(992\) | −0.180003 | + | 0.505749i | −0.00571509 | + | 0.0160575i | ||||
\(993\) | −3.22004 | + | 3.60008i | −0.102185 | + | 0.114245i | ||||
\(994\) | 9.28767 | + | 1.37451i | 0.294587 | + | 0.0435968i | ||||
\(995\) | 10.5160 | + | 5.62090i | 0.333379 | + | 0.178195i | ||||
\(996\) | 0.947761 | − | 22.6397i | 0.0300310 | − | 0.717367i | ||||
\(997\) | 2.71538 | − | 3.30871i | 0.0859971 | − | 0.104788i | −0.728234 | − | 0.685328i | \(-0.759659\pi\) |
0.814231 | + | 0.580541i | \(0.197159\pi\) | |||||||
\(998\) | 10.9329 | − | 14.7517i | 0.346075 | − | 0.466955i | ||||
\(999\) | −1.14748 | − | 3.01788i | −0.0363045 | − | 0.0954816i |
(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 | 384.2.w.a.179.42 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.179.21 | ✓ | 992 | |
128.123 | odd | 32 | inner | 384.2.w.a.251.21 | yes | 992 | |
384.251 | even | 32 | inner | 384.2.w.a.251.42 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.179.21 | ✓ | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.179.42 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.251.21 | yes | 992 | 128.123 | odd | 32 | inner | |
384.2.w.a.251.42 | yes | 992 | 384.251 | even | 32 | inner |