Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(37,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.bd (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 109.24 | ||
Character | \(\chi\) | \(=\) | 224.109 |
Dual form | 224.2.bd.a.37.24 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.964603 | + | 1.03419i | 0.682077 | + | 0.731280i | ||||
\(3\) | 0.554270 | + | 0.722339i | 0.320008 | + | 0.417043i | 0.925464 | − | 0.378836i | \(-0.123676\pi\) |
−0.605456 | + | 0.795879i | \(0.707009\pi\) | |||||||
\(4\) | −0.139084 | + | 1.99516i | −0.0695418 | + | 0.997579i | ||||
\(5\) | 0.772150 | + | 0.592492i | 0.345316 | + | 0.264970i | 0.766828 | − | 0.641852i | \(-0.221834\pi\) |
−0.421512 | + | 0.906823i | \(0.638501\pi\) | |||||||
\(6\) | −0.212383 | + | 1.26999i | −0.0867049 | + | 0.518471i | ||||
\(7\) | 2.49088 | − | 0.891918i | 0.941464 | − | 0.337113i | ||||
\(8\) | −2.19753 | + | 1.78070i | −0.776943 | + | 0.629571i | ||||
\(9\) | 0.561899 | − | 2.09704i | 0.187300 | − | 0.699012i | ||||
\(10\) | 0.132071 | + | 1.37007i | 0.0417646 | + | 0.433253i | ||||
\(11\) | −3.25828 | − | 0.428961i | −0.982409 | − | 0.129337i | −0.377824 | − | 0.925877i | \(-0.623328\pi\) |
−0.604585 | + | 0.796541i | \(0.706661\pi\) | |||||||
\(12\) | −1.51827 | + | 1.00539i | −0.438287 | + | 0.290231i | ||||
\(13\) | −4.64317 | − | 1.92326i | −1.28778 | − | 0.533418i | −0.369460 | − | 0.929247i | \(-0.620457\pi\) |
−0.918324 | + | 0.395829i | \(0.870457\pi\) | |||||||
\(14\) | 3.32512 | + | 1.71569i | 0.888675 | + | 0.458537i | ||||
\(15\) | 0.886155i | 0.228804i | ||||||||
\(16\) | −3.96131 | − | 0.554988i | −0.990328 | − | 0.138747i | ||||
\(17\) | 3.80021 | + | 2.19405i | 0.921687 | + | 0.532136i | 0.884173 | − | 0.467160i | \(-0.154723\pi\) |
0.0375141 | + | 0.999296i | \(0.488056\pi\) | |||||||
\(18\) | 2.71073 | − | 1.44170i | 0.638926 | − | 0.339811i | ||||
\(19\) | 0.313906 | + | 2.38435i | 0.0720149 | + | 0.547007i | 0.988981 | + | 0.148042i | \(0.0472972\pi\) |
−0.916966 | + | 0.398965i | \(0.869369\pi\) | |||||||
\(20\) | −1.28951 | + | 1.45816i | −0.288343 | + | 0.326053i | ||||
\(21\) | 2.02489 | + | 1.30490i | 0.441867 | + | 0.284752i | ||||
\(22\) | −2.69932 | − | 3.78345i | −0.575497 | − | 0.806634i | ||||
\(23\) | −1.12888 | + | 4.21303i | −0.235387 | + | 0.878476i | 0.742587 | + | 0.669750i | \(0.233599\pi\) |
−0.977974 | + | 0.208727i | \(0.933068\pi\) | |||||||
\(24\) | −2.50429 | − | 0.600372i | −0.511186 | − | 0.122550i | ||||
\(25\) | −1.04893 | − | 3.91464i | −0.209785 | − | 0.782929i | ||||
\(26\) | −2.48980 | − | 6.65709i | −0.488290 | − | 1.30556i | ||||
\(27\) | 4.34976 | − | 1.80173i | 0.837112 | − | 0.346743i | ||||
\(28\) | 1.43308 | + | 5.09375i | 0.270826 | + | 0.962628i | ||||
\(29\) | 3.82570 | − | 9.23607i | 0.710415 | − | 1.71509i | 0.0114544 | − | 0.999934i | \(-0.496354\pi\) |
0.698961 | − | 0.715160i | \(-0.253646\pi\) | |||||||
\(30\) | −0.916449 | + | 0.854787i | −0.167320 | + | 0.156062i | ||||
\(31\) | 0.642286 | − | 1.11247i | 0.115358 | − | 0.199806i | −0.802565 | − | 0.596565i | \(-0.796532\pi\) |
0.917923 | + | 0.396759i | \(0.129865\pi\) | |||||||
\(32\) | −3.24713 | − | 4.63208i | −0.574017 | − | 0.818843i | ||||
\(33\) | −1.49611 | − | 2.59135i | −0.260440 | − | 0.451095i | ||||
\(34\) | 1.39663 | + | 6.04652i | 0.239521 | + | 1.03697i | ||||
\(35\) | 2.45179 | + | 0.787131i | 0.414428 | + | 0.133049i | ||||
\(36\) | 4.10577 | + | 1.41274i | 0.684294 | + | 0.235457i | ||||
\(37\) | −3.26384 | − | 2.50443i | −0.536572 | − | 0.411726i | 0.304611 | − | 0.952477i | \(-0.401474\pi\) |
−0.841183 | + | 0.540751i | \(0.818140\pi\) | |||||||
\(38\) | −2.16307 | + | 2.62459i | −0.350896 | + | 0.425764i | ||||
\(39\) | −1.18432 | − | 4.41995i | −0.189643 | − | 0.707759i | ||||
\(40\) | −2.75187 | + | 0.0729490i | −0.435108 | + | 0.0115343i | ||||
\(41\) | 4.76536 | + | 4.76536i | 0.744224 | + | 0.744224i | 0.973388 | − | 0.229163i | \(-0.0735990\pi\) |
−0.229163 | + | 0.973388i | \(0.573599\pi\) | |||||||
\(42\) | 0.603706 | + | 3.35282i | 0.0931539 | + | 0.517351i | ||||
\(43\) | −0.0816679 | − | 0.197164i | −0.0124542 | − | 0.0300672i | 0.917530 | − | 0.397666i | \(-0.130180\pi\) |
−0.929984 | + | 0.367599i | \(0.880180\pi\) | |||||||
\(44\) | 1.30902 | − | 6.44113i | 0.197342 | − | 0.971036i | ||||
\(45\) | 1.67635 | − | 1.28631i | 0.249895 | − | 0.191751i | ||||
\(46\) | −5.44597 | + | 2.89643i | −0.802965 | + | 0.427055i | ||||
\(47\) | −5.27770 | + | 3.04708i | −0.769832 | + | 0.444463i | −0.832815 | − | 0.553552i | \(-0.813272\pi\) |
0.0629825 | + | 0.998015i | \(0.479939\pi\) | |||||||
\(48\) | −1.79475 | − | 3.16902i | −0.259050 | − | 0.457409i | ||||
\(49\) | 5.40896 | − | 4.44332i | 0.772709 | − | 0.634760i | ||||
\(50\) | 3.03668 | − | 4.86086i | 0.429451 | − | 0.687430i | ||||
\(51\) | 0.521494 | + | 3.96114i | 0.0730238 | + | 0.554671i | ||||
\(52\) | 4.48301 | − | 8.99637i | 0.621681 | − | 1.24757i | ||||
\(53\) | −6.41100 | − | 0.844024i | −0.880619 | − | 0.115936i | −0.323362 | − | 0.946275i | \(-0.604813\pi\) |
−0.557257 | + | 0.830340i | \(0.688146\pi\) | |||||||
\(54\) | 6.05911 | + | 2.76051i | 0.824541 | + | 0.375658i | ||||
\(55\) | −2.26173 | − | 2.26173i | −0.304971 | − | 0.304971i | ||||
\(56\) | −3.88554 | + | 6.39551i | −0.519227 | + | 0.854636i | ||||
\(57\) | −1.54832 | + | 1.54832i | −0.205080 | + | 0.205080i | ||||
\(58\) | 13.2421 | − | 4.95264i | 1.73877 | − | 0.650314i | ||||
\(59\) | −1.84624 | + | 14.0236i | −0.240360 | + | 1.82571i | 0.266674 | + | 0.963787i | \(0.414075\pi\) |
−0.507034 | + | 0.861926i | \(0.669258\pi\) | |||||||
\(60\) | −1.76802 | − | 0.123250i | −0.228250 | − | 0.0159115i | ||||
\(61\) | −7.84817 | + | 1.03323i | −1.00486 | + | 0.132292i | −0.614952 | − | 0.788564i | \(-0.710825\pi\) |
−0.389903 | + | 0.920856i | \(0.627491\pi\) | |||||||
\(62\) | 1.77005 | − | 0.408850i | 0.224797 | − | 0.0519240i | ||||
\(63\) | −0.470761 | − | 5.72463i | −0.0593103 | − | 0.721236i | ||||
\(64\) | 1.65824 | − | 7.82625i | 0.207280 | − | 0.978282i | ||||
\(65\) | −2.44571 | − | 4.23609i | −0.303353 | − | 0.525422i | ||||
\(66\) | 1.23678 | − | 4.04688i | 0.152237 | − | 0.498136i | ||||
\(67\) | 4.59209 | + | 5.98452i | 0.561013 | + | 0.731126i | 0.984618 | − | 0.174721i | \(-0.0559023\pi\) |
−0.423605 | + | 0.905847i | \(0.639236\pi\) | |||||||
\(68\) | −4.90603 | + | 7.27687i | −0.594944 | + | 0.882450i | ||||
\(69\) | −3.66894 | + | 1.51972i | −0.441688 | + | 0.182953i | ||||
\(70\) | 1.55096 | + | 3.29487i | 0.185375 | + | 0.393813i | ||||
\(71\) | 6.86973 | − | 6.86973i | 0.815287 | − | 0.815287i | −0.170134 | − | 0.985421i | \(-0.554420\pi\) |
0.985421 | + | 0.170134i | \(0.0544199\pi\) | |||||||
\(72\) | 2.49940 | + | 5.60886i | 0.294557 | + | 0.661011i | ||||
\(73\) | 9.46798 | − | 2.53694i | 1.10814 | − | 0.296926i | 0.342067 | − | 0.939676i | \(-0.388873\pi\) |
0.766076 | + | 0.642750i | \(0.222206\pi\) | |||||||
\(74\) | −0.558258 | − | 5.79120i | −0.0648962 | − | 0.673213i | ||||
\(75\) | 2.24631 | − | 2.92745i | 0.259382 | − | 0.338033i | ||||
\(76\) | −4.80081 | + | 0.294667i | −0.550691 | + | 0.0338007i | ||||
\(77\) | −8.49859 | + | 1.83763i | −0.968504 | + | 0.209417i | ||||
\(78\) | 3.42866 | − | 5.48831i | 0.388219 | − | 0.621429i | ||||
\(79\) | −6.16956 | + | 3.56200i | −0.694129 | + | 0.400756i | −0.805157 | − | 0.593062i | \(-0.797919\pi\) |
0.111028 | + | 0.993817i | \(0.464586\pi\) | |||||||
\(80\) | −2.72990 | − | 2.77558i | −0.305212 | − | 0.310319i | ||||
\(81\) | −1.92805 | − | 1.11316i | −0.214228 | − | 0.123684i | ||||
\(82\) | −0.331593 | + | 9.52495i | −0.0366183 | + | 1.05186i | ||||
\(83\) | 4.32349 | + | 1.79085i | 0.474565 | + | 0.196571i | 0.607129 | − | 0.794603i | \(-0.292321\pi\) |
−0.132564 | + | 0.991174i | \(0.542321\pi\) | |||||||
\(84\) | −2.88510 | + | 3.85848i | −0.314791 | + | 0.420995i | ||||
\(85\) | 1.63438 | + | 3.94573i | 0.177273 | + | 0.427975i | ||||
\(86\) | 0.125127 | − | 0.274645i | 0.0134928 | − | 0.0296157i | ||||
\(87\) | 8.79205 | − | 2.35582i | 0.942606 | − | 0.252571i | ||||
\(88\) | 7.92401 | − | 4.85936i | 0.844702 | − | 0.518009i | ||||
\(89\) | 7.96664 | + | 2.13465i | 0.844462 | + | 0.226273i | 0.655013 | − | 0.755618i | \(-0.272663\pi\) |
0.189449 | + | 0.981891i | \(0.439330\pi\) | |||||||
\(90\) | 2.94729 | + | 0.492881i | 0.310671 | + | 0.0519542i | ||||
\(91\) | −13.2810 | − | 0.649292i | −1.39222 | − | 0.0680643i | ||||
\(92\) | −8.24864 | − | 2.83825i | −0.859980 | − | 0.295908i | ||||
\(93\) | 1.15958 | − | 0.152662i | 0.120243 | − | 0.0158303i | ||||
\(94\) | −8.24214 | − | 2.51891i | −0.850112 | − | 0.259805i | ||||
\(95\) | −1.17033 | + | 2.02706i | −0.120073 | + | 0.207972i | ||||
\(96\) | 1.54614 | − | 4.91295i | 0.157803 | − | 0.501426i | ||||
\(97\) | −16.7849 | −1.70425 | −0.852123 | − | 0.523341i | \(-0.824685\pi\) | ||||
−0.852123 | + | 0.523341i | \(0.824685\pi\) | |||||||
\(98\) | 9.81272 | + | 1.30784i | 0.991235 | + | 0.132112i | ||||
\(99\) | −2.73037 | + | 6.59170i | −0.274413 | + | 0.662491i | ||||
\(100\) | 7.95622 | − | 1.54831i | 0.795622 | − | 0.154831i | ||||
\(101\) | −0.769688 | + | 5.84636i | −0.0765868 | + | 0.581734i | 0.909525 | + | 0.415650i | \(0.136446\pi\) |
−0.986112 | + | 0.166085i | \(0.946888\pi\) | |||||||
\(102\) | −3.59352 | + | 4.36025i | −0.355812 | + | 0.431729i | ||||
\(103\) | −2.08377 | − | 0.558345i | −0.205320 | − | 0.0550154i | 0.154693 | − | 0.987963i | \(-0.450561\pi\) |
−0.360013 | + | 0.932947i | \(0.617228\pi\) | |||||||
\(104\) | 13.6282 | − | 4.04165i | 1.33636 | − | 0.396317i | ||||
\(105\) | 0.790377 | + | 2.20730i | 0.0771329 | + | 0.215411i | ||||
\(106\) | −5.31119 | − | 7.44432i | −0.515868 | − | 0.723056i | ||||
\(107\) | −3.00987 | + | 3.92254i | −0.290976 | + | 0.379207i | −0.915851 | − | 0.401517i | \(-0.868483\pi\) |
0.624876 | + | 0.780724i | \(0.285150\pi\) | |||||||
\(108\) | 2.98975 | + | 8.92905i | 0.287689 | + | 0.859198i | ||||
\(109\) | 4.28706 | − | 3.28957i | 0.410625 | − | 0.315084i | −0.382710 | − | 0.923868i | \(-0.625009\pi\) |
0.793336 | + | 0.608784i | \(0.208343\pi\) | |||||||
\(110\) | 0.157380 | − | 4.52072i | 0.0150056 | − | 0.431033i | ||||
\(111\) | − | 3.74573i | − | 0.355529i | ||||||
\(112\) | −10.3622 | + | 2.15076i | −0.979132 | + | 0.203228i | ||||
\(113\) | 12.9952i | 1.22248i | 0.791445 | + | 0.611241i | \(0.209329\pi\) | ||||
−0.791445 | + | 0.611241i | \(0.790671\pi\) | |||||||
\(114\) | −3.09477 | − | 0.107738i | −0.289852 | − | 0.0100906i | ||||
\(115\) | −3.36784 | + | 2.58424i | −0.314053 | + | 0.240981i | ||||
\(116\) | 17.8953 | + | 8.91747i | 1.66154 | + | 0.827966i | ||||
\(117\) | −6.64215 | + | 8.65621i | −0.614067 | + | 0.800267i | ||||
\(118\) | −16.2839 | + | 11.6178i | −1.49905 | + | 1.06951i | ||||
\(119\) | 11.4228 | + | 2.07565i | 1.04713 | + | 0.190274i | ||||
\(120\) | −1.57797 | − | 1.94735i | −0.144049 | − | 0.177768i | ||||
\(121\) | −0.192787 | − | 0.0516572i | −0.0175261 | − | 0.00469611i | ||||
\(122\) | −8.63892 | − | 7.11981i | −0.782131 | − | 0.644598i | ||||
\(123\) | −0.800909 | + | 6.08351i | −0.0722155 | + | 0.548531i | ||||
\(124\) | 2.13022 | + | 1.43619i | 0.191300 | + | 0.128973i | ||||
\(125\) | 3.37174 | − | 8.14011i | 0.301578 | − | 0.728074i | ||||
\(126\) | 5.46624 | − | 6.00885i | 0.486971 | − | 0.535311i | ||||
\(127\) | −15.0995 | −1.33987 | −0.669933 | − | 0.742422i | \(-0.733677\pi\) | ||||
−0.669933 | + | 0.742422i | \(0.733677\pi\) | |||||||
\(128\) | 9.69335 | − | 5.83429i | 0.856779 | − | 0.515683i | ||||
\(129\) | 0.0971530 | − | 0.168274i | 0.00855385 | − | 0.0148157i | ||||
\(130\) | 2.02177 | − | 6.61546i | 0.177321 | − | 0.580214i | ||||
\(131\) | −11.0547 | + | 1.45538i | −0.965857 | + | 0.127157i | −0.596923 | − | 0.802298i | \(-0.703610\pi\) |
−0.368934 | + | 0.929456i | \(0.620277\pi\) | |||||||
\(132\) | 5.37823 | − | 2.62457i | 0.468115 | − | 0.228440i | ||||
\(133\) | 2.90855 | + | 5.65915i | 0.252203 | + | 0.490711i | ||||
\(134\) | −1.75958 | + | 10.5218i | −0.152004 | + | 0.908942i | ||||
\(135\) | 4.42618 | + | 1.18599i | 0.380945 | + | 0.102074i | ||||
\(136\) | −12.2580 | + | 1.94553i | −1.05112 | + | 0.166828i | ||||
\(137\) | 1.36960 | − | 0.366982i | 0.117013 | − | 0.0313534i | −0.199838 | − | 0.979829i | \(-0.564041\pi\) |
0.316850 | + | 0.948476i | \(0.397375\pi\) | |||||||
\(138\) | −5.11074 | − | 2.32844i | −0.435055 | − | 0.198210i | ||||
\(139\) | −5.54591 | − | 13.3890i | −0.470398 | − | 1.13564i | −0.963988 | − | 0.265947i | \(-0.914315\pi\) |
0.493589 | − | 0.869695i | \(-0.335685\pi\) | |||||||
\(140\) | −1.91145 | + | 4.78223i | −0.161547 | + | 0.404172i | ||||
\(141\) | −5.12630 | − | 2.12338i | −0.431713 | − | 0.178821i | ||||
\(142\) | 13.7311 | + | 0.478023i | 1.15229 | + | 0.0401148i | ||||
\(143\) | 14.3038 | + | 8.25828i | 1.19614 | + | 0.690592i | ||||
\(144\) | −3.38969 | + | 7.99516i | −0.282474 | + | 0.666264i | ||||
\(145\) | 8.42631 | − | 4.86493i | 0.699767 | − | 0.404011i | ||||
\(146\) | 11.7565 | + | 7.34452i | 0.972975 | + | 0.607837i | ||||
\(147\) | 6.20761 | + | 1.44431i | 0.511995 | + | 0.119124i | ||||
\(148\) | 5.45068 | − | 6.16355i | 0.448044 | − | 0.506641i | ||||
\(149\) | −4.67224 | + | 6.08899i | −0.382765 | + | 0.498829i | −0.944511 | − | 0.328481i | \(-0.893463\pi\) |
0.561745 | + | 0.827310i | \(0.310130\pi\) | |||||||
\(150\) | 5.19433 | − | 0.500721i | 0.424115 | − | 0.0408837i | ||||
\(151\) | −14.5282 | + | 3.89282i | −1.18229 | + | 0.316793i | −0.795834 | − | 0.605515i | \(-0.792967\pi\) |
−0.386455 | + | 0.922308i | \(0.626300\pi\) | |||||||
\(152\) | −4.93562 | − | 4.68070i | −0.400332 | − | 0.379655i | ||||
\(153\) | 6.73634 | − | 6.73634i | 0.544601 | − | 0.544601i | ||||
\(154\) | −10.0982 | − | 7.01654i | −0.813737 | − | 0.565409i | ||||
\(155\) | 1.15507 | − | 0.478446i | 0.0927775 | − | 0.0384297i | ||||
\(156\) | 8.98323 | − | 1.74817i | 0.719234 | − | 0.139965i | ||||
\(157\) | 6.25041 | + | 8.14570i | 0.498837 | + | 0.650097i | 0.973126 | − | 0.230272i | \(-0.0739615\pi\) |
−0.474289 | + | 0.880369i | \(0.657295\pi\) | |||||||
\(158\) | −9.63494 | − | 2.94456i | −0.766515 | − | 0.234257i | ||||
\(159\) | −2.94376 | − | 5.09874i | −0.233455 | − | 0.404356i | ||||
\(160\) | 0.237195 | − | 5.50056i | 0.0187519 | − | 0.434857i | ||||
\(161\) | 0.945777 | + | 11.5010i | 0.0745377 | + | 0.906406i | ||||
\(162\) | −0.708586 | − | 3.06772i | −0.0556718 | − | 0.241023i | ||||
\(163\) | 6.32191 | − | 0.832296i | 0.495171 | − | 0.0651904i | 0.121194 | − | 0.992629i | \(-0.461328\pi\) |
0.373976 | + | 0.927438i | \(0.377994\pi\) | |||||||
\(164\) | −10.1704 | + | 8.84487i | −0.794177 | + | 0.690668i | ||||
\(165\) | 0.380126 | − | 2.88734i | 0.0295928 | − | 0.224779i | ||||
\(166\) | 2.31838 | + | 6.19875i | 0.179941 | + | 0.481116i | ||||
\(167\) | 12.7955 | − | 12.7955i | 0.990142 | − | 0.990142i | −0.00980982 | − | 0.999952i | \(-0.503123\pi\) |
0.999952 | + | 0.00980982i | \(0.00312261\pi\) | |||||||
\(168\) | −6.77337 | + | 0.738167i | −0.522577 | + | 0.0569508i | ||||
\(169\) | 8.66771 | + | 8.66771i | 0.666747 | + | 0.666747i | ||||
\(170\) | −2.50410 | + | 5.49631i | −0.192056 | + | 0.421548i | ||||
\(171\) | 5.17645 | + | 0.681493i | 0.395853 | + | 0.0521150i | ||||
\(172\) | 0.404732 | − | 0.135518i | 0.0308605 | − | 0.0103332i | ||||
\(173\) | 2.06811 | + | 15.7089i | 0.157236 | + | 1.19433i | 0.870047 | + | 0.492969i | \(0.164088\pi\) |
−0.712811 | + | 0.701356i | \(0.752578\pi\) | |||||||
\(174\) | 10.9172 | + | 6.82018i | 0.827630 | + | 0.517037i | ||||
\(175\) | −6.10429 | − | 8.81535i | −0.461441 | − | 0.666378i | ||||
\(176\) | 12.6690 | + | 3.50755i | 0.954962 | + | 0.264392i | ||||
\(177\) | −11.1531 | + | 6.43924i | −0.838317 | + | 0.484003i | ||||
\(178\) | 5.47701 | + | 10.2981i | 0.410519 | + | 0.771874i | ||||
\(179\) | 11.8018 | − | 9.05582i | 0.882106 | − | 0.676864i | −0.0649652 | − | 0.997888i | \(-0.520694\pi\) |
0.947071 | + | 0.321024i | \(0.104027\pi\) | |||||||
\(180\) | 2.33323 | + | 3.52348i | 0.173909 | + | 0.262625i | ||||
\(181\) | 2.68280 | + | 6.47686i | 0.199411 | + | 0.481421i | 0.991676 | − | 0.128756i | \(-0.0410984\pi\) |
−0.792265 | + | 0.610177i | \(0.791098\pi\) | |||||||
\(182\) | −12.1394 | − | 14.3613i | −0.899831 | − | 1.06453i | ||||
\(183\) | −5.09635 | − | 5.09635i | −0.376733 | − | 0.376733i | ||||
\(184\) | −5.02138 | − | 11.2684i | −0.370181 | − | 0.830719i | ||||
\(185\) | −1.03632 | − | 3.86759i | −0.0761917 | − | 0.284351i | ||||
\(186\) | 1.27642 | + | 1.05197i | 0.0935914 | + | 0.0771339i | ||||
\(187\) | −11.4410 | − | 8.77899i | −0.836649 | − | 0.641983i | ||||
\(188\) | −5.34537 | − | 10.9537i | −0.389851 | − | 0.798877i | ||||
\(189\) | 9.22773 | − | 8.36752i | 0.671219 | − | 0.608648i | ||||
\(190\) | −3.22526 | + | 0.744975i | −0.233985 | + | 0.0540462i | ||||
\(191\) | −5.20734 | − | 9.01938i | −0.376790 | − | 0.652619i | 0.613803 | − | 0.789459i | \(-0.289639\pi\) |
−0.990593 | + | 0.136840i | \(0.956305\pi\) | |||||||
\(192\) | 6.57232 | − | 3.14005i | 0.474317 | − | 0.226613i | ||||
\(193\) | 2.34751 | − | 4.06601i | 0.168978 | − | 0.292678i | −0.769083 | − | 0.639149i | \(-0.779287\pi\) |
0.938061 | + | 0.346471i | \(0.112620\pi\) | |||||||
\(194\) | −16.1907 | − | 17.3587i | −1.16243 | − | 1.24628i | ||||
\(195\) | 1.70431 | − | 4.11457i | 0.122048 | − | 0.294650i | ||||
\(196\) | 8.11283 | + | 11.4097i | 0.579488 | + | 0.814981i | ||||
\(197\) | 3.93563 | − | 1.63019i | 0.280402 | − | 0.116146i | −0.238051 | − | 0.971253i | \(-0.576508\pi\) |
0.518452 | + | 0.855107i | \(0.326508\pi\) | |||||||
\(198\) | −9.45077 | + | 3.53466i | −0.671637 | + | 0.251197i | ||||
\(199\) | −6.35268 | − | 23.7085i | −0.450329 | − | 1.68065i | −0.701468 | − | 0.712701i | \(-0.747472\pi\) |
0.251139 | − | 0.967951i | \(-0.419195\pi\) | |||||||
\(200\) | 9.27583 | + | 6.73471i | 0.655901 | + | 0.476216i | ||||
\(201\) | −1.77760 | + | 6.63409i | −0.125382 | + | 0.467932i | ||||
\(202\) | −6.78867 | + | 4.84341i | −0.477649 | + | 0.340781i | ||||
\(203\) | 1.29155 | − | 26.4181i | 0.0906493 | − | 1.85419i | ||||
\(204\) | −7.97563 | + | 0.489533i | −0.558406 | + | 0.0342742i | ||||
\(205\) | 0.856138 | + | 6.50301i | 0.0597952 | + | 0.454190i | ||||
\(206\) | −1.43258 | − | 2.69359i | −0.0998125 | − | 0.187671i | ||||
\(207\) | 8.20055 | + | 4.73459i | 0.569977 | + | 0.329077i | ||||
\(208\) | 17.3257 | + | 10.1956i | 1.20132 | + | 0.706934i | ||||
\(209\) | − | 7.90354i | − | 0.546699i | ||||||
\(210\) | −1.52036 | + | 2.94657i | −0.104915 | + | 0.203333i | ||||
\(211\) | 3.90524 | + | 1.61760i | 0.268848 | + | 0.111360i | 0.513035 | − | 0.858368i | \(-0.328521\pi\) |
−0.244187 | + | 0.969728i | \(0.578521\pi\) | |||||||
\(212\) | 2.57563 | − | 12.6736i | 0.176895 | − | 0.870425i | ||||
\(213\) | 8.76997 | + | 1.15459i | 0.600908 | + | 0.0791111i | ||||
\(214\) | −6.95998 | + | 0.670925i | −0.475774 | + | 0.0458635i | ||||
\(215\) | 0.0537580 | − | 0.200628i | 0.00366626 | − | 0.0136827i | ||||
\(216\) | −6.35038 | + | 11.7049i | −0.432088 | + | 0.796421i | ||||
\(217\) | 0.607623 | − | 3.34390i | 0.0412481 | − | 0.226999i | ||||
\(218\) | 7.53734 | + | 1.26048i | 0.510493 | + | 0.0853708i | ||||
\(219\) | 7.08035 | + | 5.43294i | 0.478446 | + | 0.367124i | ||||
\(220\) | 4.82707 | − | 4.19793i | 0.325441 | − | 0.283025i | ||||
\(221\) | −13.4253 | − | 17.4962i | −0.903083 | − | 1.17692i | ||||
\(222\) | 3.87378 | − | 3.61314i | 0.259991 | − | 0.242498i | ||||
\(223\) | 12.8216 | 0.858601 | 0.429300 | − | 0.903162i | \(-0.358760\pi\) | ||||
0.429300 | + | 0.903162i | \(0.358760\pi\) | |||||||
\(224\) | −12.2196 | − | 8.64177i | −0.816459 | − | 0.577403i | ||||
\(225\) | −8.79854 | −0.586569 | ||||||||
\(226\) | −13.4394 | + | 12.5352i | −0.893977 | + | 0.833827i | ||||
\(227\) | 3.89033 | + | 5.06997i | 0.258210 | + | 0.336506i | 0.904412 | − | 0.426661i | \(-0.140310\pi\) |
−0.646202 | + | 0.763167i | \(0.723644\pi\) | |||||||
\(228\) | −2.87380 | − | 3.30449i | −0.190322 | − | 0.218845i | ||||
\(229\) | 0.945872 | + | 0.725793i | 0.0625050 | + | 0.0479618i | 0.639541 | − | 0.768757i | \(-0.279124\pi\) |
−0.577036 | + | 0.816718i | \(0.695791\pi\) | |||||||
\(230\) | −5.92121 | − | 0.990217i | −0.390433 | − | 0.0652930i | ||||
\(231\) | −6.03791 | − | 5.12032i | −0.397265 | − | 0.336892i | ||||
\(232\) | 8.03954 | + | 27.1089i | 0.527822 | + | 1.77979i | ||||
\(233\) | −1.81173 | + | 6.76147i | −0.118690 | + | 0.442958i | −0.999536 | − | 0.0304443i | \(-0.990308\pi\) |
0.880846 | + | 0.473403i | \(0.156974\pi\) | |||||||
\(234\) | −15.3592 | + | 1.48059i | −1.00406 | + | 0.0967891i | ||||
\(235\) | −5.88055 | − | 0.774189i | −0.383605 | − | 0.0505025i | ||||
\(236\) | −27.7225 | − | 5.63398i | −1.80458 | − | 0.366741i | ||||
\(237\) | −5.99257 | − | 2.48220i | −0.389259 | − | 0.161236i | ||||
\(238\) | 8.87185 | + | 13.8155i | 0.575076 | + | 0.895524i | ||||
\(239\) | 14.0986i | 0.911963i | 0.889989 | + | 0.455981i | \(0.150712\pi\) | ||||
−0.889989 | + | 0.455981i | \(0.849288\pi\) | |||||||
\(240\) | 0.491805 | − | 3.51033i | 0.0317459 | − | 0.226591i | ||||
\(241\) | −9.83693 | − | 5.67935i | −0.633652 | − | 0.365839i | 0.148513 | − | 0.988910i | \(-0.452551\pi\) |
−0.782165 | + | 0.623071i | \(0.785885\pi\) | |||||||
\(242\) | −0.132540 | − | 0.249207i | −0.00851999 | − | 0.0160196i | ||||
\(243\) | −2.10819 | − | 16.0133i | −0.135240 | − | 1.02725i | ||||
\(244\) | −0.969907 | − | 15.8020i | −0.0620920 | − | 1.01162i | ||||
\(245\) | 6.80916 | − | 0.226145i | 0.435021 | − | 0.0144479i | ||||
\(246\) | −7.06404 | + | 5.03988i | −0.450387 | + | 0.321331i | ||||
\(247\) | 3.12822 | − | 11.6747i | 0.199044 | − | 0.742842i | ||||
\(248\) | 0.569534 | + | 3.58840i | 0.0361655 | + | 0.227864i | ||||
\(249\) | 1.10278 | + | 4.11564i | 0.0698860 | + | 0.260818i | ||||
\(250\) | 11.6708 | − | 4.36496i | 0.738125 | − | 0.276064i | ||||
\(251\) | 3.14274 | − | 1.30177i | 0.198368 | − | 0.0821667i | −0.281288 | − | 0.959623i | \(-0.590762\pi\) |
0.479656 | + | 0.877457i | \(0.340762\pi\) | |||||||
\(252\) | 11.4870 | − | 0.143041i | 0.723614 | − | 0.00901071i | ||||
\(253\) | 5.48542 | − | 13.2430i | 0.344866 | − | 0.832579i | ||||
\(254\) | −14.5650 | − | 15.6157i | −0.913892 | − | 0.979818i | ||||
\(255\) | −1.94427 | + | 3.36758i | −0.121755 | + | 0.210886i | ||||
\(256\) | 15.3840 | + | 4.39696i | 0.961499 | + | 0.274810i | ||||
\(257\) | 2.47657 | + | 4.28954i | 0.154484 | + | 0.267574i | 0.932871 | − | 0.360211i | \(-0.117295\pi\) |
−0.778387 | + | 0.627785i | \(0.783962\pi\) | |||||||
\(258\) | 0.267741 | − | 0.0618432i | 0.0166688 | − | 0.00385019i | ||||
\(259\) | −10.3636 | − | 3.32716i | −0.643962 | − | 0.206740i | ||||
\(260\) | 8.79183 | − | 4.29040i | 0.545246 | − | 0.266079i | ||||
\(261\) | −17.2187 | − | 13.2124i | −1.06581 | − | 0.817825i | ||||
\(262\) | −12.1686 | − | 10.0288i | −0.751777 | − | 0.619581i | ||||
\(263\) | 7.69251 | + | 28.7089i | 0.474341 | + | 1.77026i | 0.623893 | + | 0.781510i | \(0.285550\pi\) |
−0.149552 | + | 0.988754i | \(0.547783\pi\) | |||||||
\(264\) | 7.90215 | + | 3.03042i | 0.486344 | + | 0.186510i | ||||
\(265\) | −4.45018 | − | 4.45018i | −0.273372 | − | 0.273372i | ||||
\(266\) | −3.04703 | + | 8.46681i | −0.186825 | + | 0.519134i | ||||
\(267\) | 2.87373 | + | 6.93779i | 0.175869 | + | 0.424586i | ||||
\(268\) | −12.5788 | + | 8.32959i | −0.768370 | + | 0.508811i | ||||
\(269\) | 10.9242 | − | 8.38240i | 0.666058 | − | 0.511084i | −0.219500 | − | 0.975612i | \(-0.570443\pi\) |
0.885558 | + | 0.464528i | \(0.153776\pi\) | |||||||
\(270\) | 3.04297 | + | 5.72150i | 0.185189 | + | 0.348200i | ||||
\(271\) | 3.99121 | − | 2.30433i | 0.242449 | − | 0.139978i | −0.373853 | − | 0.927488i | \(-0.621964\pi\) |
0.616302 | + | 0.787510i | \(0.288630\pi\) | |||||||
\(272\) | −13.8362 | − | 10.8004i | −0.838940 | − | 0.654871i | ||||
\(273\) | −6.89224 | − | 9.95325i | −0.417138 | − | 0.602398i | ||||
\(274\) | 1.70064 | + | 1.06243i | 0.102740 | + | 0.0641835i | ||||
\(275\) | 1.73847 | + | 13.2050i | 0.104833 | + | 0.796289i | ||||
\(276\) | −2.52180 | − | 7.53148i | −0.151794 | − | 0.453342i | ||||
\(277\) | 19.2642 | + | 2.53618i | 1.15747 | + | 0.152384i | 0.684716 | − | 0.728810i | \(-0.259926\pi\) |
0.472755 | + | 0.881194i | \(0.343259\pi\) | |||||||
\(278\) | 8.49714 | − | 18.6506i | 0.509625 | − | 1.11859i | ||||
\(279\) | −1.97199 | − | 1.97199i | −0.118060 | − | 0.118060i | ||||
\(280\) | −6.78951 | + | 2.63615i | −0.405751 | + | 0.157540i | ||||
\(281\) | 12.2720 | − | 12.2720i | 0.732086 | − | 0.732086i | −0.238947 | − | 0.971033i | \(-0.576802\pi\) |
0.971033 | + | 0.238947i | \(0.0768021\pi\) | |||||||
\(282\) | −2.74887 | − | 7.34978i | −0.163693 | − | 0.437673i | ||||
\(283\) | 2.03782 | − | 15.4788i | 0.121136 | − | 0.920118i | −0.817674 | − | 0.575682i | \(-0.804737\pi\) |
0.938810 | − | 0.344436i | \(-0.111930\pi\) | |||||||
\(284\) | 12.7507 | + | 14.6617i | 0.756617 | + | 0.870010i | ||||
\(285\) | −2.11290 | + | 0.278169i | −0.125158 | + | 0.0164773i | ||||
\(286\) | 5.25684 | + | 22.7587i | 0.310844 | + | 1.34575i | ||||
\(287\) | 16.1203 | + | 7.61963i | 0.951549 | + | 0.449773i | ||||
\(288\) | −11.5382 | + | 4.20659i | −0.679894 | + | 0.247876i | ||||
\(289\) | 1.12774 | + | 1.95331i | 0.0663379 | + | 0.114901i | ||||
\(290\) | 13.1593 | + | 4.02165i | 0.772740 | + | 0.236159i | ||||
\(291\) | −9.30336 | − | 12.1244i | −0.545373 | − | 0.710743i | ||||
\(292\) | 3.74475 | + | 19.2430i | 0.219145 | + | 1.12611i | ||||
\(293\) | −3.70761 | + | 1.53574i | −0.216601 | + | 0.0897191i | −0.488346 | − | 0.872650i | \(-0.662399\pi\) |
0.271744 | + | 0.962369i | \(0.412399\pi\) | |||||||
\(294\) | 4.49420 | + | 7.81301i | 0.262107 | + | 0.455664i | ||||
\(295\) | −9.73442 | + | 9.73442i | −0.566760 | + | 0.566760i | ||||
\(296\) | 11.6320 | − | 0.308352i | 0.676097 | − | 0.0179226i | ||||
\(297\) | −14.9456 | + | 4.00467i | −0.867233 | + | 0.232374i | ||||
\(298\) | −10.8040 | + | 1.04148i | −0.625859 | + | 0.0603314i | ||||
\(299\) | 13.3443 | − | 17.3907i | 0.771723 | − | 1.00573i | ||||
\(300\) | 5.52830 | + | 4.88891i | 0.319177 | + | 0.282261i | ||||
\(301\) | −0.379279 | − | 0.418270i | −0.0218613 | − | 0.0241087i | ||||
\(302\) | −18.0398 | − | 11.2699i | −1.03808 | − | 0.648507i | ||||
\(303\) | −4.64967 | + | 2.68449i | −0.267116 | + | 0.154220i | ||||
\(304\) | 0.0798068 | − | 9.61937i | 0.00457723 | − | 0.551709i | ||||
\(305\) | −6.67214 | − | 3.85216i | −0.382046 | − | 0.220574i | ||||
\(306\) | 13.4645 | + | 0.468741i | 0.769716 | + | 0.0267962i | ||||
\(307\) | 23.1155 | + | 9.57475i | 1.31927 | + | 0.546460i | 0.927576 | − | 0.373635i | \(-0.121889\pi\) |
0.391695 | + | 0.920095i | \(0.371889\pi\) | |||||||
\(308\) | −2.48435 | − | 17.2116i | −0.141559 | − | 0.980723i | ||||
\(309\) | −0.751658 | − | 1.81466i | −0.0427603 | − | 0.103233i | ||||
\(310\) | 1.60899 | + | 0.733048i | 0.0913843 | + | 0.0416344i | ||||
\(311\) | −11.3503 | + | 3.04130i | −0.643616 | + | 0.172456i | −0.565841 | − | 0.824515i | \(-0.691448\pi\) |
−0.0777752 | + | 0.996971i | \(0.524782\pi\) | |||||||
\(312\) | 10.4732 | + | 7.60404i | 0.592927 | + | 0.430494i | ||||
\(313\) | 28.7598 | + | 7.70616i | 1.62560 | + | 0.435578i | 0.952640 | − | 0.304101i | \(-0.0983559\pi\) |
0.672960 | + | 0.739679i | \(0.265023\pi\) | |||||||
\(314\) | −2.39500 | + | 14.3215i | −0.135158 | + | 0.808206i | ||||
\(315\) | 3.02830 | − | 4.69920i | 0.170625 | − | 0.264770i | ||||
\(316\) | −6.24866 | − | 12.8047i | −0.351515 | − | 0.720318i | ||||
\(317\) | 19.1884 | − | 2.52620i | 1.07773 | − | 0.141886i | 0.429301 | − | 0.903161i | \(-0.358760\pi\) |
0.648428 | + | 0.761276i | \(0.275427\pi\) | |||||||
\(318\) | 2.43349 | − | 7.96265i | 0.136463 | − | 0.446523i | ||||
\(319\) | −16.4271 | + | 28.4526i | −0.919743 | + | 1.59304i | ||||
\(320\) | 5.91740 | − | 5.06055i | 0.330793 | − | 0.282893i | ||||
\(321\) | −4.50169 | −0.251260 | ||||||||
\(322\) | −10.9819 | + | 12.0720i | −0.611997 | + | 0.672747i | ||||
\(323\) | −4.03848 | + | 9.74976i | −0.224707 | + | 0.542491i | ||||
\(324\) | 2.48909 | − | 3.69194i | 0.138283 | − | 0.205108i | ||||
\(325\) | −2.65855 | + | 20.1937i | −0.147470 | + | 1.12015i | ||||
\(326\) | 6.95888 | + | 5.73520i | 0.385417 | + | 0.317644i | ||||
\(327\) | 4.75238 | + | 1.27340i | 0.262807 | + | 0.0704189i | ||||
\(328\) | −18.9577 | − | 1.98634i | −1.04676 | − | 0.109678i | ||||
\(329\) | −10.4284 | + | 12.2972i | −0.574935 | + | 0.677967i | ||||
\(330\) | 3.35272 | − | 2.39202i | 0.184561 | − | 0.131676i | ||||
\(331\) | −9.60864 | + | 12.5222i | −0.528139 | + | 0.688284i | −0.978895 | − | 0.204363i | \(-0.934488\pi\) |
0.450756 | + | 0.892647i | \(0.351154\pi\) | |||||||
\(332\) | −4.17435 | + | 8.37697i | −0.229097 | + | 0.459746i | ||||
\(333\) | −7.08583 | + | 5.43715i | −0.388301 | + | 0.297954i | ||||
\(334\) | 25.5754 | + | 0.890358i | 1.39942 | + | 0.0487182i | ||||
\(335\) | 7.34172i | 0.401121i | ||||||||
\(336\) | −7.29701 | − | 6.29289i | −0.398085 | − | 0.343305i | ||||
\(337\) | 29.8112i | 1.62392i | 0.583714 | + | 0.811959i | \(0.301599\pi\) | ||||
−0.583714 | + | 0.811959i | \(0.698401\pi\) | |||||||
\(338\) | −0.603134 | + | 17.3249i | −0.0328061 | + | 0.942352i | ||||
\(339\) | −9.38691 | + | 7.20283i | −0.509827 | + | 0.391204i | ||||
\(340\) | −8.09968 | + | 2.71205i | −0.439267 | + | 0.147082i | ||||
\(341\) | −2.56995 | + | 3.34923i | −0.139171 | + | 0.181371i | ||||
\(342\) | 4.28843 | + | 6.01078i | 0.231892 | + | 0.325026i | ||||
\(343\) | 9.51000 | − | 15.8921i | 0.513492 | − | 0.858095i | ||||
\(344\) | 0.530556 | + | 0.287847i | 0.0286057 | + | 0.0155197i | ||||
\(345\) | −3.73339 | − | 1.00036i | −0.200999 | − | 0.0538575i | ||||
\(346\) | −14.2510 | + | 17.2917i | −0.766139 | + | 0.929605i | ||||
\(347\) | 0.628295 | − | 4.77238i | 0.0337286 | − | 0.256195i | −0.966270 | − | 0.257529i | \(-0.917092\pi\) |
0.999999 | + | 0.00133489i | \(0.000424910\pi\) | |||||||
\(348\) | 3.47741 | + | 17.8692i | 0.186409 | + | 0.957888i | ||||
\(349\) | −11.6607 | + | 28.1515i | −0.624184 | + | 1.50691i | 0.222563 | + | 0.974918i | \(0.428558\pi\) |
−0.846747 | + | 0.531995i | \(0.821442\pi\) | |||||||
\(350\) | 3.22850 | − | 14.8163i | 0.172571 | − | 0.791964i | ||||
\(351\) | −23.6619 | −1.26298 | ||||||||
\(352\) | 8.59309 | + | 16.4855i | 0.458013 | + | 0.878681i | ||||
\(353\) | 3.14470 | − | 5.44679i | 0.167376 | − | 0.289903i | −0.770121 | − | 0.637898i | \(-0.779804\pi\) |
0.937496 | + | 0.347995i | \(0.113137\pi\) | |||||||
\(354\) | −17.4177 | − | 5.32307i | −0.925739 | − | 0.282918i | ||||
\(355\) | 9.37472 | − | 1.23421i | 0.497559 | − | 0.0655048i | ||||
\(356\) | −5.36700 | + | 15.5978i | −0.284450 | + | 0.826682i | ||||
\(357\) | 4.83199 | + | 9.40160i | 0.255736 | + | 0.497585i | ||||
\(358\) | 20.7494 | + | 3.46997i | 1.09664 | + | 0.183394i | ||||
\(359\) | 14.4771 | + | 3.87913i | 0.764073 | + | 0.204733i | 0.619751 | − | 0.784798i | \(-0.287233\pi\) |
0.144321 | + | 0.989531i | \(0.453900\pi\) | |||||||
\(360\) | −1.39329 | + | 5.81175i | −0.0734331 | + | 0.306306i | ||||
\(361\) | 12.7660 | − | 3.42064i | 0.671895 | − | 0.180034i | ||||
\(362\) | −4.11044 | + | 9.02211i | −0.216040 | + | 0.474192i | ||||
\(363\) | −0.0695423 | − | 0.167890i | −0.00365002 | − | 0.00881193i | ||||
\(364\) | 3.14261 | − | 26.4073i | 0.164717 | − | 1.38412i | ||||
\(365\) | 8.81381 | + | 3.65080i | 0.461336 | + | 0.191092i | ||||
\(366\) | 0.354624 | − | 10.1865i | 0.0185365 | − | 0.532458i | ||||
\(367\) | 13.5153 | + | 7.80306i | 0.705492 | + | 0.407316i | 0.809390 | − | 0.587272i | \(-0.199798\pi\) |
−0.103897 | + | 0.994588i | \(0.533131\pi\) | |||||||
\(368\) | 6.81001 | − | 16.0626i | 0.354996 | − | 0.837320i | ||||
\(369\) | 12.6708 | − | 7.31548i | 0.659615 | − | 0.380829i | ||||
\(370\) | 3.00018 | − | 4.80244i | 0.155972 | − | 0.249667i | ||||
\(371\) | −16.7218 | + | 3.61573i | −0.868155 | + | 0.187719i | ||||
\(372\) | 0.143306 | + | 2.33478i | 0.00743005 | + | 0.121053i | ||||
\(373\) | 9.69218 | − | 12.6311i | 0.501842 | − | 0.654013i | −0.471904 | − | 0.881650i | \(-0.656433\pi\) |
0.973746 | + | 0.227637i | \(0.0730998\pi\) | |||||||
\(374\) | −1.95691 | − | 20.3004i | −0.101189 | − | 1.04971i | ||||
\(375\) | 7.74878 | − | 2.07628i | 0.400145 | − | 0.107219i | ||||
\(376\) | 6.17196 | − | 16.0940i | 0.318295 | − | 0.829987i | ||||
\(377\) | −35.5268 | + | 35.5268i | −1.82972 | + | 1.82972i | ||||
\(378\) | 17.5547 | + | 1.47186i | 0.902915 | + | 0.0757046i | ||||
\(379\) | 17.3836 | − | 7.20051i | 0.892933 | − | 0.369865i | 0.111435 | − | 0.993772i | \(-0.464455\pi\) |
0.781499 | + | 0.623907i | \(0.214455\pi\) | |||||||
\(380\) | −3.88154 | − | 2.61691i | −0.199119 | − | 0.134245i | ||||
\(381\) | −8.36922 | − | 10.9070i | −0.428768 | − | 0.558781i | ||||
\(382\) | 4.30470 | − | 14.0855i | 0.220248 | − | 0.720676i | ||||
\(383\) | 0.998277 | + | 1.72907i | 0.0510096 | + | 0.0883512i | 0.890403 | − | 0.455173i | \(-0.150423\pi\) |
−0.839393 | + | 0.543525i | \(0.817089\pi\) | |||||||
\(384\) | 9.58707 | + | 3.76811i | 0.489238 | + | 0.192291i | ||||
\(385\) | −7.65097 | − | 3.61641i | −0.389929 | − | 0.184310i | ||||
\(386\) | 6.46944 | − | 1.49432i | 0.329286 | − | 0.0760589i | ||||
\(387\) | −0.459349 | + | 0.0604744i | −0.0233500 | + | 0.00307409i | ||||
\(388\) | 2.33450 | − | 33.4885i | 0.118516 | − | 1.70012i | ||||
\(389\) | 3.07128 | − | 23.3287i | 0.155720 | − | 1.18281i | −0.717880 | − | 0.696167i | \(-0.754887\pi\) |
0.873600 | − | 0.486645i | \(-0.161780\pi\) | |||||||
\(390\) | 5.89921 | − | 2.20635i | 0.298718 | − | 0.111723i | ||||
\(391\) | −13.5336 | + | 13.5336i | −0.684422 | + | 0.684422i | ||||
\(392\) | −3.97413 | + | 19.3960i | −0.200724 | + | 0.979648i | ||||
\(393\) | −7.17859 | − | 7.17859i | −0.362112 | − | 0.362112i | ||||
\(394\) | 5.48224 | + | 2.49769i | 0.276191 | + | 0.125832i | ||||
\(395\) | −6.87428 | − | 0.905016i | −0.345882 | − | 0.0455363i | ||||
\(396\) | −12.7717 | − | 6.36432i | −0.641804 | − | 0.319819i | ||||
\(397\) | −3.70805 | − | 28.1654i | −0.186102 | − | 1.41358i | −0.788328 | − | 0.615256i | \(-0.789053\pi\) |
0.602226 | − | 0.798326i | \(-0.294281\pi\) | |||||||
\(398\) | 18.3912 | − | 29.4391i | 0.921868 | − | 1.47565i | ||||
\(399\) | −2.47571 | + | 5.23766i | −0.123940 | + | 0.262211i | ||||
\(400\) | 1.98254 | + | 16.0893i | 0.0991271 | + | 0.804463i | ||||
\(401\) | −11.5784 | + | 6.68480i | −0.578199 | + | 0.333823i | −0.760417 | − | 0.649435i | \(-0.775006\pi\) |
0.182218 | + | 0.983258i | \(0.441672\pi\) | |||||||
\(402\) | −8.57556 | + | 4.56089i | −0.427710 | + | 0.227477i | ||||
\(403\) | −5.12182 | + | 3.93011i | −0.255136 | + | 0.195773i | ||||
\(404\) | −11.5574 | − | 2.34878i | −0.575000 | − | 0.116856i | ||||
\(405\) | −0.829205 | − | 2.00188i | −0.0412035 | − | 0.0994741i | ||||
\(406\) | 28.5671 | − | 24.1473i | 1.41776 | − | 1.19841i | ||||
\(407\) | 9.56021 | + | 9.56021i | 0.473882 | + | 0.473882i | ||||
\(408\) | −8.19959 | − | 7.77609i | −0.405940 | − | 0.384974i | ||||
\(409\) | −9.07394 | − | 33.8644i | −0.448678 | − | 1.67449i | −0.706040 | − | 0.708172i | \(-0.749520\pi\) |
0.257362 | − | 0.966315i | \(-0.417147\pi\) | |||||||
\(410\) | −5.89949 | + | 7.15823i | −0.291355 | + | 0.353520i | ||||
\(411\) | 1.02421 | + | 0.785906i | 0.0505207 | + | 0.0387659i | ||||
\(412\) | 1.40380 | − | 4.07980i | 0.0691605 | − | 0.200997i | ||||
\(413\) | 7.90912 | + | 36.5777i | 0.389182 | + | 1.79987i | ||||
\(414\) | 3.01382 | + | 13.0479i | 0.148121 | + | 0.641269i | ||||
\(415\) | 2.27732 | + | 3.94443i | 0.111789 | + | 0.193625i | ||||
\(416\) | 6.16827 | + | 27.7526i | 0.302425 | + | 1.36068i | ||||
\(417\) | 6.59748 | − | 11.4272i | 0.323080 | − | 0.559591i | ||||
\(418\) | 8.17373 | − | 7.62378i | 0.399790 | − | 0.372891i | ||||
\(419\) | −1.55708 | + | 3.75913i | −0.0760686 | + | 0.183646i | −0.957339 | − | 0.288966i | \(-0.906689\pi\) |
0.881271 | + | 0.472612i | \(0.156689\pi\) | |||||||
\(420\) | −4.51385 | + | 1.26993i | −0.220253 | + | 0.0619661i | ||||
\(421\) | 9.17801 | − | 3.80165i | 0.447309 | − | 0.185281i | −0.147647 | − | 0.989040i | \(-0.547170\pi\) |
0.594955 | + | 0.803759i | \(0.297170\pi\) | |||||||
\(422\) | 2.09410 | + | 5.59909i | 0.101939 | + | 0.272559i | ||||
\(423\) | 3.42431 | + | 12.7797i | 0.166495 | + | 0.621370i | ||||
\(424\) | 15.5913 | − | 9.56128i | 0.757180 | − | 0.464337i | ||||
\(425\) | 4.60280 | − | 17.1779i | 0.223269 | − | 0.833250i | ||||
\(426\) | 7.26547 | + | 10.1835i | 0.352013 | + | 0.493392i | ||||
\(427\) | −18.6273 | + | 9.57358i | −0.901438 | + | 0.463298i | ||||
\(428\) | −7.40747 | − | 6.55074i | −0.358054 | − | 0.316642i | ||||
\(429\) | 1.96287 | + | 14.9095i | 0.0947683 | + | 0.719837i | ||||
\(430\) | 0.259341 | − | 0.137930i | 0.0125066 | − | 0.00665158i | ||||
\(431\) | −19.6623 | − | 11.3520i | −0.947099 | − | 0.546808i | −0.0549204 | − | 0.998491i | \(-0.517490\pi\) |
−0.892179 | + | 0.451683i | \(0.850824\pi\) | |||||||
\(432\) | −18.2307 | + | 4.72315i | −0.877125 | + | 0.227243i | ||||
\(433\) | − | 8.11220i | − | 0.389847i | −0.980818 | − | 0.194924i | \(-0.937554\pi\) | ||
0.980818 | − | 0.194924i | \(-0.0624459\pi\) | |||||||
\(434\) | 4.04433 | − | 2.59714i | 0.194134 | − | 0.124667i | ||||
\(435\) | 8.18458 | + | 3.39017i | 0.392421 | + | 0.162546i | ||||
\(436\) | 5.96696 | + | 9.01088i | 0.285766 | + | 0.431543i | ||||
\(437\) | −10.3997 | − | 1.36914i | −0.497485 | − | 0.0654951i | ||||
\(438\) | 1.21105 | + | 12.5630i | 0.0578660 | + | 0.600285i | ||||
\(439\) | −10.7256 | + | 40.0286i | −0.511906 | + | 1.91046i | −0.112603 | + | 0.993640i | \(0.535919\pi\) |
−0.399303 | + | 0.916819i | \(0.630748\pi\) | |||||||
\(440\) | 8.99765 | + | 0.942755i | 0.428946 | + | 0.0449441i | ||||
\(441\) | −6.27851 | − | 13.8395i | −0.298977 | − | 0.659023i | ||||
\(442\) | 5.14424 | − | 30.7611i | 0.244687 | − | 1.46316i | ||||
\(443\) | −18.4109 | − | 14.1272i | −0.874731 | − | 0.671204i | 0.0705339 | − | 0.997509i | \(-0.477530\pi\) |
−0.945265 | + | 0.326305i | \(0.894196\pi\) | |||||||
\(444\) | 7.47333 | + | 0.520970i | 0.354668 | + | 0.0247241i | ||||
\(445\) | 4.88667 | + | 6.36844i | 0.231651 | + | 0.301893i | ||||
\(446\) | 12.3678 | + | 13.2600i | 0.585632 | + | 0.627878i | ||||
\(447\) | −6.98800 | −0.330521 | ||||||||
\(448\) | −2.84990 | − | 20.9733i | −0.134645 | − | 0.990894i | ||||
\(449\) | −29.3565 | −1.38542 | −0.692708 | − | 0.721218i | \(-0.743583\pi\) | ||||
−0.692708 | + | 0.721218i | \(0.743583\pi\) | |||||||
\(450\) | −8.48709 | − | 9.09933i | −0.400085 | − | 0.428946i | ||||
\(451\) | −13.4827 | − | 17.5710i | −0.634877 | − | 0.827388i | ||||
\(452\) | −25.9274 | − | 1.80741i | −1.21952 | − | 0.0850136i | ||||
\(453\) | −10.8645 | − | 8.33662i | −0.510458 | − | 0.391688i | ||||
\(454\) | −1.49068 | + | 8.91383i | −0.0699610 | + | 0.418347i | ||||
\(455\) | −9.87021 | − | 8.37022i | −0.462722 | − | 0.392402i | ||||
\(456\) | 0.645386 | − | 6.15957i | 0.0302230 | − | 0.288448i | ||||
\(457\) | 7.79648 | − | 29.0969i | 0.364704 | − | 1.36109i | −0.503118 | − | 0.864218i | \(-0.667814\pi\) |
0.867822 | − | 0.496876i | \(-0.165519\pi\) | |||||||
\(458\) | 0.161785 | + | 1.67831i | 0.00755972 | + | 0.0784223i | ||||
\(459\) | 20.4831 | + | 2.69665i | 0.956069 | + | 0.125869i | ||||
\(460\) | −4.68755 | − | 7.07881i | −0.218558 | − | 0.330051i | ||||
\(461\) | −17.6705 | − | 7.31937i | −0.822999 | − | 0.340897i | −0.0688715 | − | 0.997626i | \(-0.521940\pi\) |
−0.754127 | + | 0.656728i | \(0.771940\pi\) | |||||||
\(462\) | −0.528817 | − | 11.1834i | −0.0246028 | − | 0.520299i | ||||
\(463\) | − | 29.7043i | − | 1.38048i | −0.723582 | − | 0.690238i | \(-0.757506\pi\) | ||
0.723582 | − | 0.690238i | \(-0.242494\pi\) | |||||||
\(464\) | −20.2807 | + | 34.4637i | −0.941508 | + | 1.59994i | ||||
\(465\) | 0.985822 | + | 0.569164i | 0.0457164 | + | 0.0263944i | ||||
\(466\) | −8.74022 | + | 4.64846i | −0.404883 | + | 0.215336i | ||||
\(467\) | −3.44726 | − | 26.1846i | −0.159520 | − | 1.21168i | −0.864568 | − | 0.502517i | \(-0.832408\pi\) |
0.705047 | − | 0.709160i | \(-0.250926\pi\) | |||||||
\(468\) | −16.3467 | − | 14.4561i | −0.755627 | − | 0.668232i | ||||
\(469\) | 16.7760 | + | 10.8110i | 0.774646 | + | 0.499204i | ||||
\(470\) | −4.87174 | − | 6.82837i | −0.224717 | − | 0.314969i | ||||
\(471\) | −2.41954 | + | 9.02983i | −0.111486 | + | 0.416073i | ||||
\(472\) | −20.9146 | − | 34.1047i | −0.962671 | − | 1.56980i | ||||
\(473\) | 0.181522 | + | 0.677448i | 0.00834637 | + | 0.0311491i | ||||
\(474\) | −3.21339 | − | 8.59178i | −0.147596 | − | 0.394633i | ||||
\(475\) | 9.00462 | − | 3.72984i | 0.413160 | − | 0.171137i | ||||
\(476\) | −5.72996 | + | 22.5016i | −0.262632 | + | 1.03136i | ||||
\(477\) | −5.37228 | + | 12.9698i | −0.245980 | + | 0.593848i | ||||
\(478\) | −14.5806 | + | 13.5995i | −0.666900 | + | 0.622029i | ||||
\(479\) | −2.90084 | + | 5.02440i | −0.132543 | + | 0.229571i | −0.924656 | − | 0.380803i | \(-0.875647\pi\) |
0.792113 | + | 0.610374i | \(0.208981\pi\) | |||||||
\(480\) | 4.10474 | − | 2.87746i | 0.187355 | − | 0.131337i | ||||
\(481\) | 10.3379 | + | 17.9057i | 0.471367 | + | 0.816431i | ||||
\(482\) | −3.61522 | − | 15.6515i | −0.164669 | − | 0.712908i | ||||
\(483\) | −7.78341 | + | 7.05784i | −0.354157 | + | 0.321143i | ||||
\(484\) | 0.129878 | − | 0.377456i | 0.00590354 | − | 0.0171571i | ||||
\(485\) | −12.9604 | − | 9.94490i | −0.588503 | − | 0.451575i | ||||
\(486\) | 14.5272 | − | 17.6267i | 0.658966 | − | 0.799565i | ||||
\(487\) | 1.66405 | + | 6.21031i | 0.0754052 | + | 0.281416i | 0.993325 | − | 0.115350i | \(-0.0367990\pi\) |
−0.917920 | + | 0.396766i | \(0.870132\pi\) | |||||||
\(488\) | 15.4067 | − | 16.2458i | 0.697428 | − | 0.735411i | ||||
\(489\) | 4.10525 | + | 4.10525i | 0.185646 | + | 0.185646i | ||||
\(490\) | 6.80201 | + | 6.82380i | 0.307284 | + | 0.308268i | ||||
\(491\) | 4.89496 | + | 11.8175i | 0.220906 | + | 0.533315i | 0.995014 | − | 0.0997395i | \(-0.0318009\pi\) |
−0.774107 | + | 0.633054i | \(0.781801\pi\) | |||||||
\(492\) | −12.0262 | − | 2.44406i | −0.542181 | − | 0.110187i | ||||
\(493\) | 34.8029 | − | 26.7052i | 1.56744 | − | 1.20274i | ||||
\(494\) | 15.0913 | − | 8.02626i | 0.678989 | − | 0.361118i | ||||
\(495\) | −6.01378 | + | 3.47206i | −0.270299 | + | 0.156057i | ||||
\(496\) | −3.16170 | + | 4.05039i | −0.141965 | + | 0.181868i | ||||
\(497\) | 10.9844 | − | 23.2389i | 0.492719 | − | 1.04241i | ||||
\(498\) | −3.19259 | + | 5.11044i | −0.143063 | + | 0.229004i | ||||
\(499\) | −2.81442 | − | 21.3776i | −0.125991 | − | 0.956994i | −0.931329 | − | 0.364179i | \(-0.881350\pi\) |
0.805338 | − | 0.592815i | \(-0.201984\pi\) | |||||||
\(500\) | 15.7719 | + | 7.85932i | 0.705339 | + | 0.351479i | ||||
\(501\) | 16.3348 | + | 2.15052i | 0.729785 | + | 0.0960780i | ||||
\(502\) | 4.37776 | + | 1.99449i | 0.195389 | + | 0.0890186i | ||||
\(503\) | 7.63379 | + | 7.63379i | 0.340374 | + | 0.340374i | 0.856508 | − | 0.516134i | \(-0.172629\pi\) |
−0.516134 | + | 0.856508i | \(0.672629\pi\) | |||||||
\(504\) | 11.2283 | + | 11.7417i | 0.500150 | + | 0.523019i | ||||
\(505\) | −4.05823 | + | 4.05823i | −0.180589 | + | 0.180589i | ||||
\(506\) | 18.9870 | − | 7.10126i | 0.844074 | − | 0.315690i | ||||
\(507\) | −1.45677 | + | 11.0653i | −0.0646975 | + | 0.491426i | ||||
\(508\) | 2.10010 | − | 30.1259i | 0.0931767 | − | 1.33662i | ||||
\(509\) | 14.6663 | − | 1.93086i | 0.650072 | − | 0.0855837i | 0.201724 | − | 0.979442i | \(-0.435346\pi\) |
0.448349 | + | 0.893859i | \(0.352012\pi\) | |||||||
\(510\) | −5.35815 | + | 1.23763i | −0.237263 | + | 0.0548033i | ||||
\(511\) | 21.3209 | − | 14.7639i | 0.943179 | − | 0.653115i | ||||
\(512\) | 10.2922 | + | 20.1512i | 0.454853 | + | 0.890566i | ||||
\(513\) | 5.66137 | + | 9.80578i | 0.249956 | + | 0.432936i | ||||
\(514\) | −2.04728 | + | 6.69894i | −0.0903017 | + | 0.295477i | ||||
\(515\) | −1.27817 | − | 1.66574i | −0.0563229 | − | 0.0734014i | ||||
\(516\) | 0.322221 | + | 0.217240i | 0.0141850 | + | 0.00956345i | ||||
\(517\) | 18.5033 | − | 7.66433i | 0.813776 | − | 0.337077i | ||||
\(518\) | −6.55583 | − | 13.9273i | −0.288047 | − | 0.611929i | ||||
\(519\) | −10.2009 | + | 10.2009i | −0.447768 | + | 0.447768i | ||||
\(520\) | 12.9177 | + | 4.95385i | 0.566478 | + | 0.217241i | ||||
\(521\) | −37.3500 | + | 10.0079i | −1.63633 | + | 0.438454i | −0.955741 | − | 0.294208i | \(-0.904944\pi\) |
−0.680592 | + | 0.732663i | \(0.738277\pi\) | |||||||
\(522\) | −2.94514 | − | 30.5520i | −0.128905 | − | 1.33723i | ||||
\(523\) | −25.3854 | + | 33.0829i | −1.11003 | + | 1.44661i | −0.229073 | + | 0.973409i | \(0.573570\pi\) |
−0.880953 | + | 0.473205i | \(0.843097\pi\) | |||||||
\(524\) | −1.36619 | − | 22.2584i | −0.0596822 | − | 0.972361i | ||||
\(525\) | 2.98425 | − | 9.29546i | 0.130243 | − | 0.405687i | ||||
\(526\) | −22.2701 | + | 35.6481i | −0.971022 | + | 1.55433i | ||||
\(527\) | 4.88164 | − | 2.81842i | 0.212648 | − | 0.122772i | ||||
\(528\) | 4.48841 | + | 11.0955i | 0.195333 | + | 0.482868i | ||||
\(529\) | 3.44337 | + | 1.98803i | 0.149712 | + | 0.0864360i | ||||
\(530\) | 0.309661 | − | 8.89497i | 0.0134508 | − | 0.386373i | ||||
\(531\) | 28.3705 | + | 11.7515i | 1.23118 | + | 0.509970i | ||||
\(532\) | −11.6954 | + | 5.01591i | −0.507061 | + | 0.217467i | ||||
\(533\) | −12.9613 | − | 31.2914i | −0.561418 | − | 1.35538i | ||||
\(534\) | −4.40296 | + | 9.66418i | −0.190535 | + | 0.418210i | ||||
\(535\) | −4.64815 | + | 1.24547i | −0.200957 | + | 0.0538463i | ||||
\(536\) | −20.7479 | − | 4.97404i | −0.896171 | − | 0.214846i | ||||
\(537\) | 13.0827 | + | 3.50551i | 0.564562 | + | 0.151274i | ||||
\(538\) | 19.2064 | + | 3.21193i | 0.828049 | + | 0.138476i | ||||
\(539\) | −19.5299 | + | 12.1574i | −0.841214 | + | 0.523655i | ||||
\(540\) | −2.98185 | + | 8.66597i | −0.128318 | + | 0.372924i | ||||
\(541\) | −6.83484 | + | 0.899824i | −0.293853 | + | 0.0386865i | −0.276011 | − | 0.961154i | \(-0.589013\pi\) |
−0.0178415 | + | 0.999841i | \(0.505679\pi\) | |||||||
\(542\) | 6.23304 | + | 1.90490i | 0.267732 | + | 0.0818223i | ||||
\(543\) | −3.19149 | + | 5.52782i | −0.136960 | + | 0.237222i | ||||
\(544\) | −2.17676 | − | 24.7273i | −0.0933278 | − | 1.06017i | ||||
\(545\) | 5.25929 | 0.225283 | ||||||||
\(546\) | 3.64525 | − | 16.7288i | 0.156002 | − | 0.715927i | ||||
\(547\) | 11.0146 | − | 26.5915i | 0.470949 | − | 1.13697i | −0.492796 | − | 0.870145i | \(-0.664025\pi\) |
0.963745 | − | 0.266826i | \(-0.0859750\pi\) | |||||||
\(548\) | 0.541699 | + | 2.78360i | 0.0231402 | + | 0.118910i | ||||
\(549\) | −2.24316 | + | 17.0385i | −0.0957355 | + | 0.727184i | ||||
\(550\) | −11.9795 | + | 14.5354i | −0.510806 | + | 0.619793i | ||||
\(551\) | 23.2229 | + | 6.22256i | 0.989330 | + | 0.265090i | ||||
\(552\) | 5.35642 | − | 9.87289i | 0.227984 | − | 0.420218i | ||||
\(553\) | −12.1906 | + | 14.3752i | −0.518398 | + | 0.611297i | ||||
\(554\) | 15.9594 | + | 22.3691i | 0.678050 | + | 0.950374i | ||||
\(555\) | 2.21931 | − | 2.89227i | 0.0942046 | − | 0.122770i | ||||
\(556\) | 27.4846 | − | 9.20278i | 1.16561 | − | 0.390285i | ||||
\(557\) | 12.6429 | − | 9.70127i | 0.535698 | − | 0.411056i | −0.305168 | − | 0.952299i | \(-0.598713\pi\) |
0.840866 | + | 0.541243i | \(0.182046\pi\) | |||||||
\(558\) | 0.137219 | − | 3.94160i | 0.00580894 | − | 0.166861i | ||||
\(559\) | 1.07253i | 0.0453634i | ||||||||
\(560\) | −9.27544 | − | 4.47878i | −0.391959 | − | 0.189263i | ||||
\(561\) | − | 13.1302i | − | 0.554358i | ||||||
\(562\) | 24.5291 | + | 0.853934i | 1.03470 | + | 0.0360210i | ||||
\(563\) | −25.1024 | + | 19.2617i | −1.05794 | + | 0.811785i | −0.982667 | − | 0.185378i | \(-0.940649\pi\) |
−0.0752714 | + | 0.997163i | \(0.523982\pi\) | |||||||
\(564\) | 4.94947 | − | 9.93246i | 0.208410 | − | 0.418232i | ||||
\(565\) | −7.69952 | + | 10.0342i | −0.323921 | + | 0.422143i | ||||
\(566\) | 17.9736 | − | 12.8234i | 0.755488 | − | 0.539007i | ||||
\(567\) | −5.79538 | − | 1.05308i | −0.243383 | − | 0.0442254i | ||||
\(568\) | −2.86351 | + | 27.3293i | −0.120150 | + | 1.14671i | ||||
\(569\) | −25.4581 | − | 6.82148i | −1.06726 | − | 0.285971i | −0.317893 | − | 0.948127i | \(-0.602975\pi\) |
−0.749367 | + | 0.662155i | \(0.769642\pi\) | |||||||
\(570\) | −2.32579 | − | 1.91681i | −0.0974166 | − | 0.0802865i | ||||
\(571\) | −1.33193 | + | 10.1170i | −0.0557393 | + | 0.423382i | 0.940712 | + | 0.339207i | \(0.110159\pi\) |
−0.996451 | + | 0.0841750i | \(0.973175\pi\) | |||||||
\(572\) | −18.4660 | + | 27.3897i | −0.772102 | + | 1.14522i | ||||
\(573\) | 3.62878 | − | 8.76064i | 0.151594 | − | 0.365981i | ||||
\(574\) | 7.66952 | + | 24.0213i | 0.320120 | + | 1.00263i | ||||
\(575\) | 17.6766 | 0.737165 | ||||||||
\(576\) | −15.4802 | − | 7.87495i | −0.645007 | − | 0.328123i | ||||
\(577\) | −5.80520 | + | 10.0549i | −0.241674 | + | 0.418591i | −0.961191 | − | 0.275883i | \(-0.911030\pi\) |
0.719517 | + | 0.694474i | \(0.244363\pi\) | |||||||
\(578\) | −0.932262 | + | 3.05047i | −0.0387770 | + | 0.126883i | ||||
\(579\) | 4.23820 | − | 0.557969i | 0.176134 | − | 0.0231884i | ||||
\(580\) | 8.53435 | + | 17.4884i | 0.354369 | + | 0.726168i | ||||
\(581\) | 12.3666 | + | 0.604588i | 0.513052 | + | 0.0250825i | ||||
\(582\) | 3.56482 | − | 21.3166i | 0.147767 | − | 0.883602i | ||||
\(583\) | 20.5268 | + | 5.50014i | 0.850133 | + | 0.227793i | ||||
\(584\) | −16.2886 | + | 22.4346i | −0.674028 | + | 0.928349i | ||||
\(585\) | −10.2575 | + | 2.74848i | −0.424094 | + | 0.113636i | ||||
\(586\) | −5.16462 | − | 2.35298i | −0.213349 | − | 0.0972008i | ||||
\(587\) | 6.69352 | + | 16.1596i | 0.276271 | + | 0.666978i | 0.999726 | − | 0.0233936i | \(-0.00744708\pi\) |
−0.723455 | + | 0.690372i | \(0.757447\pi\) | |||||||
\(588\) | −3.74499 | + | 12.1843i | −0.154441 | + | 0.502472i | ||||
\(589\) | 2.85414 | + | 1.18222i | 0.117603 | + | 0.0487126i | ||||
\(590\) | −19.4570 | − | 0.677359i | −0.801034 | − | 0.0278864i | ||||
\(591\) | 3.35895 | + | 1.93929i | 0.138169 | + | 0.0797718i | ||||
\(592\) | 11.5392 | + | 11.7322i | 0.474256 | + | 0.482192i | ||||
\(593\) | −9.30507 | + | 5.37229i | −0.382113 | + | 0.220613i | −0.678737 | − | 0.734381i | \(-0.737473\pi\) |
0.296624 | + | 0.954994i | \(0.404139\pi\) | |||||||
\(594\) | −18.5582 | − | 11.5936i | −0.761450 | − | 0.475693i | ||||
\(595\) | 7.59030 | + | 8.37062i | 0.311172 | + | 0.343162i | ||||
\(596\) | −11.4987 | − | 10.1687i | −0.471003 | − | 0.416528i | ||||
\(597\) | 13.6045 | − | 17.7297i | 0.556794 | − | 0.725629i | ||||
\(598\) | 30.8572 | − | 2.97456i | 1.26184 | − | 0.121639i | ||||
\(599\) | −5.29975 | + | 1.42006i | −0.216542 | + | 0.0580223i | −0.365459 | − | 0.930827i | \(-0.619088\pi\) |
0.148917 | + | 0.988850i | \(0.452421\pi\) | |||||||
\(600\) | 0.276572 | + | 10.4332i | 0.0112910 | + | 0.425932i | ||||
\(601\) | −10.9312 | + | 10.9312i | −0.445894 | + | 0.445894i | −0.893987 | − | 0.448093i | \(-0.852103\pi\) |
0.448093 | + | 0.893987i | \(0.352103\pi\) | |||||||
\(602\) | 0.0667160 | − | 0.795710i | 0.00271914 | − | 0.0324307i | ||||
\(603\) | 15.1300 | − | 6.26707i | 0.616143 | − | 0.255215i | ||||
\(604\) | −5.74616 | − | 29.5275i | −0.233808 | − | 1.20146i | ||||
\(605\) | −0.118254 | − | 0.154112i | −0.00480772 | − | 0.00626554i | ||||
\(606\) | −7.26134 | − | 2.21916i | −0.294972 | − | 0.0901473i | ||||
\(607\) | 15.5748 | + | 26.9763i | 0.632161 | + | 1.09494i | 0.987109 | + | 0.160049i | \(0.0511652\pi\) |
−0.354948 | + | 0.934886i | \(0.615501\pi\) | |||||||
\(608\) | 10.0252 | − | 9.19633i | 0.406576 | − | 0.372961i | ||||
\(609\) | 19.7987 | − | 13.7099i | 0.802285 | − | 0.555551i | ||||
\(610\) | −2.45211 | − | 10.6160i | −0.0992831 | − | 0.429831i | ||||
\(611\) | 30.3656 | − | 3.99771i | 1.22846 | − | 0.161730i | ||||
\(612\) | 12.5032 | + | 14.3770i | 0.505410 | + | 0.581155i | ||||
\(613\) | 0.400595 | − | 3.04282i | 0.0161799 | − | 0.122899i | −0.981449 | − | 0.191725i | \(-0.938592\pi\) |
0.997629 | + | 0.0688260i | \(0.0219253\pi\) | |||||||
\(614\) | 12.3952 | + | 33.1416i | 0.500229 | + | 1.33748i | ||||
\(615\) | −4.22285 | + | 4.22285i | −0.170282 | + | 0.170282i | ||||
\(616\) | 15.4036 | − | 19.1716i | 0.620629 | − | 0.772448i | ||||
\(617\) | 14.2796 | + | 14.2796i | 0.574876 | + | 0.574876i | 0.933487 | − | 0.358611i | \(-0.116749\pi\) |
−0.358611 | + | 0.933487i | \(0.616749\pi\) | |||||||
\(618\) | 1.15165 | − | 2.52778i | 0.0463261 | − | 0.101682i | ||||
\(619\) | 25.0619 | + | 3.29946i | 1.00732 | + | 0.132616i | 0.616090 | − | 0.787676i | \(-0.288716\pi\) |
0.391231 | + | 0.920292i | \(0.372049\pi\) | |||||||
\(620\) | 0.793924 | + | 2.37109i | 0.0318848 | + | 0.0952254i | ||||
\(621\) | 2.68039 | + | 20.3596i | 0.107560 | + | 0.817002i | ||||
\(622\) | −14.0938 | − | 8.80467i | −0.565110 | − | 0.353035i | ||||
\(623\) | 21.7479 | − | 1.78842i | 0.871310 | − | 0.0716516i | ||||
\(624\) | 2.23845 | + | 18.1661i | 0.0896098 | + | 0.727226i | ||||
\(625\) | −10.1224 | + | 5.84419i | −0.404897 | + | 0.233768i | ||||
\(626\) | 19.7722 | + | 37.1764i | 0.790255 | + | 1.48587i | ||||
\(627\) | 5.70904 | − | 4.38070i | 0.227997 | − | 0.174948i | ||||
\(628\) | −17.1213 | + | 11.3376i | −0.683213 | + | 0.452421i | ||||
\(629\) | −6.90843 | − | 16.6784i | −0.275457 | − | 0.665012i | ||||
\(630\) | 7.78095 | − | 1.40103i | 0.310000 | − | 0.0558185i | ||||
\(631\) | −20.5874 | − | 20.5874i | −0.819572 | − | 0.819572i | 0.166474 | − | 0.986046i | \(-0.446762\pi\) |
−0.986046 | + | 0.166474i | \(0.946762\pi\) | |||||||
\(632\) | 7.21493 | − | 18.8137i | 0.286995 | − | 0.748368i | ||||
\(633\) | 0.996100 | + | 3.71749i | 0.0395914 | + | 0.147757i | ||||
\(634\) | 21.1218 | + | 17.4076i | 0.838853 | + | 0.691345i | ||||
\(635\) | −11.6591 | − | 8.94634i | −0.462677 | − | 0.355025i | ||||
\(636\) | 10.5822 | − | 5.16411i | 0.419612 | − | 0.204770i | ||||
\(637\) | −33.6604 | + | 10.2282i | −1.33368 | + | 0.405258i | ||||
\(638\) | −45.2710 | + | 10.4568i | −1.79230 | + | 0.413987i | ||||
\(639\) | −10.5460 | − | 18.2662i | −0.417192 | − | 0.722598i | ||||
\(640\) | 10.9415 | + | 1.23828i | 0.432500 | + | 0.0489473i | ||||
\(641\) | −5.47454 | + | 9.48218i | −0.216231 | + | 0.374524i | −0.953653 | − | 0.300909i | \(-0.902710\pi\) |
0.737421 | + | 0.675433i | \(0.236043\pi\) | |||||||
\(642\) | −4.34234 | − | 4.65559i | −0.171379 | − | 0.183741i | ||||
\(643\) | 2.33757 | − | 5.64338i | 0.0921846 | − | 0.222553i | −0.871061 | − | 0.491174i | \(-0.836568\pi\) |
0.963246 | + | 0.268621i | \(0.0865679\pi\) | |||||||
\(644\) | −23.0779 | + | 0.287374i | −0.909395 | + | 0.0113241i | ||||
\(645\) | 0.174718 | − | 0.0723704i | 0.00687950 | − | 0.00284958i | ||||
\(646\) | −13.9786 | + | 5.22810i | −0.549981 | + | 0.205697i | ||||
\(647\) | −11.9783 | − | 44.7036i | −0.470916 | − | 1.75748i | −0.636492 | − | 0.771284i | \(-0.719615\pi\) |
0.165576 | − | 0.986197i | \(-0.447052\pi\) | |||||||
\(648\) | 6.21914 | − | 0.987072i | 0.244311 | − | 0.0387759i | ||||
\(649\) | 12.0311 | − | 44.9008i | 0.472263 | − | 1.76251i | ||||
\(650\) | −23.4485 | + | 16.7295i | −0.919727 | + | 0.656184i | ||||
\(651\) | 2.75222 | − | 1.41451i | 0.107868 | − | 0.0554392i | ||||
\(652\) | 0.781287 | + | 12.7290i | 0.0305976 | + | 0.498505i | ||||
\(653\) | 0.649359 | + | 4.93237i | 0.0254114 | + | 0.193018i | 0.999442 | − | 0.0333971i | \(-0.0106326\pi\) |
−0.974031 | + | 0.226416i | \(0.927299\pi\) | |||||||
\(654\) | 3.26723 | + | 6.14316i | 0.127759 | + | 0.240217i | ||||
\(655\) | −9.39822 | − | 5.42606i | −0.367219 | − | 0.212014i | ||||
\(656\) | −16.2324 | − | 21.5218i | −0.633767 | − | 0.840285i | ||||
\(657\) | − | 21.2802i | − | 0.830219i | ||||||
\(658\) | −22.7768 | + | 1.07702i | −0.887934 | + | 0.0419868i | ||||
\(659\) | −38.3411 | − | 15.8814i | −1.49356 | − | 0.618652i | −0.521469 | − | 0.853270i | \(-0.674616\pi\) |
−0.972088 | + | 0.234618i | \(0.924616\pi\) | |||||||
\(660\) | 5.70783 | + | 1.15999i | 0.222177 | + | 0.0451527i | ||||
\(661\) | −22.5111 | − | 2.96364i | −0.875579 | − | 0.115272i | −0.320678 | − | 0.947188i | \(-0.603911\pi\) |
−0.554901 | + | 0.831916i | \(0.687244\pi\) | |||||||
\(662\) | −22.2188 | + | 2.14184i | −0.863560 | + | 0.0832451i | ||||
\(663\) | 5.19694 | − | 19.3952i | 0.201832 | − | 0.753248i | ||||
\(664\) | −12.6899 | + | 3.76339i | −0.492465 | + | 0.146048i | ||||
\(665\) | −1.10717 | + | 6.09300i | −0.0429340 | + | 0.236277i | ||||
\(666\) | −12.4580 | − | 2.08338i | −0.482739 | − | 0.0807294i | ||||
\(667\) | 34.5930 | + | 26.5442i | 1.33945 | + | 1.02779i | ||||
\(668\) | 23.7493 | + | 27.3086i | 0.918889 | + | 1.05660i | ||||
\(669\) | 7.10666 | + | 9.26157i | 0.274759 | + | 0.358073i | ||||
\(670\) | −7.59271 | + | 7.08185i | −0.293332 | + | 0.273596i | ||||
\(671\) | 26.0148 | 1.00429 | ||||||||
\(672\) | −0.530696 | − | 13.6166i | −0.0204720 | − | 0.525272i | ||||
\(673\) | 50.0708 | 1.93009 | 0.965043 | − | 0.262091i | \(-0.0844122\pi\) | ||||
0.965043 | + | 0.262091i | \(0.0844122\pi\) | |||||||
\(674\) | −30.8303 | + | 28.7559i | −1.18754 | + | 1.10764i | ||||
\(675\) | −11.6157 | − | 15.1379i | −0.447089 | − | 0.582657i | ||||
\(676\) | −18.4990 | + | 16.0879i | −0.711500 | + | 0.618766i | ||||
\(677\) | −1.75858 | − | 1.34941i | −0.0675878 | − | 0.0518620i | 0.574415 | − | 0.818564i | \(-0.305230\pi\) |
−0.642003 | + | 0.766702i | \(0.721896\pi\) | |||||||
\(678\) | −16.5037 | − | 2.75995i | −0.633821 | − | 0.105995i | ||||
\(679\) | −41.8091 | + | 14.9707i | −1.60449 | + | 0.574524i | ||||
\(680\) | −10.6177 | − | 5.76052i | −0.407172 | − | 0.220906i | ||||
\(681\) | −1.50595 | + | 5.62027i | −0.0577080 | + | 0.215369i | ||||
\(682\) | −5.94271 | + | 0.572864i | −0.227558 | + | 0.0219361i | ||||
\(683\) | −12.2513 | − | 1.61292i | −0.468784 | − | 0.0617166i | −0.107566 | − | 0.994198i | \(-0.534306\pi\) |
−0.361218 | + | 0.932481i | \(0.617639\pi\) | |||||||
\(684\) | −2.07964 | + | 10.2331i | −0.0795172 | + | 0.391270i | ||||
\(685\) | 1.27497 | + | 0.528109i | 0.0487140 | + | 0.0201780i | ||||
\(686\) | 25.6088 | − | 5.49448i | 0.977749 | − | 0.209780i | ||||
\(687\) | 1.08553i | 0.0414154i | ||||||||
\(688\) | 0.214089 | + | 0.826352i | 0.00816205 | + | 0.0315044i | ||||
\(689\) | 28.1441 | + | 16.2490i | 1.07221 | + | 0.619038i | ||||
\(690\) | −2.56668 | − | 4.82597i | −0.0977119 | − | 0.183722i | ||||
\(691\) | −6.20663 | − | 47.1440i | −0.236111 | − | 1.79344i | −0.540965 | − | 0.841045i | \(-0.681941\pi\) |
0.304854 | − | 0.952399i | \(-0.401392\pi\) | |||||||
\(692\) | −31.6294 | + | 1.94137i | −1.20237 | + | 0.0737997i | ||||
\(693\) | −0.921770 | + | 18.8544i | −0.0350152 | + | 0.716219i | ||||
\(694\) | 5.54158 | − | 3.95367i | 0.210356 | − | 0.150079i | ||||
\(695\) | 3.65060 | − | 13.6242i | 0.138475 | − | 0.516797i | ||||
\(696\) | −15.1257 | + | 20.8329i | −0.573340 | + | 0.789671i | ||||
\(697\) | 7.65393 | + | 28.5648i | 0.289913 | + | 1.08197i | ||||
\(698\) | −40.3618 | + | 15.0956i | −1.52772 | + | 0.571378i | ||||
\(699\) | −5.88826 | + | 2.43900i | −0.222714 | + | 0.0922513i | ||||
\(700\) | 18.4370 | − | 10.9530i | 0.696854 | − | 0.413983i | ||||
\(701\) | 12.7621 | − | 30.8104i | 0.482017 | − | 1.16369i | −0.476633 | − | 0.879102i | \(-0.658143\pi\) |
0.958650 | − | 0.284589i | \(-0.0918571\pi\) | |||||||
\(702\) | −22.8243 | − | 24.4708i | −0.861448 | − | 0.923591i | ||||
\(703\) | 4.94691 | − | 8.56829i | 0.186576 | − | 0.323159i | ||||
\(704\) | −8.76018 | + | 24.7888i | −0.330162 | + | 0.934264i | ||||
\(705\) | −2.70019 | − | 4.67686i | −0.101695 | − | 0.176141i | ||||
\(706\) | 8.66638 | − | 2.00177i | 0.326164 | − | 0.0753378i | ||||
\(707\) | 3.29727 | + | 15.2491i | 0.124007 | + | 0.573500i | ||||
\(708\) | −11.2961 | − | 23.1478i | −0.424533 | − | 0.869946i | ||||
\(709\) | 34.1862 | + | 26.2320i | 1.28389 | + | 0.985162i | 0.999651 | + | 0.0264078i | \(0.00840684\pi\) |
0.284237 | + | 0.958754i | \(0.408260\pi\) | |||||||
\(710\) | 10.3193 | + | 8.50469i | 0.387276 | + | 0.319176i | ||||
\(711\) | 4.00296 | + | 14.9393i | 0.150123 | + | 0.560266i | ||||
\(712\) | −21.3081 | + | 9.49520i | −0.798553 | + | 0.355848i | ||||
\(713\) | 3.96181 | + | 3.96181i | 0.148371 | + | 0.148371i | ||||
\(714\) | −5.06205 | + | 14.0660i | −0.189443 | + | 0.526406i | ||||
\(715\) | 6.15169 | + | 14.8515i | 0.230060 | + | 0.555414i | ||||
\(716\) | 16.4264 | + | 24.8059i | 0.613882 | + | 0.927041i | ||||
\(717\) | −10.1840 | + | 7.81444i | −0.380327 | + | 0.291835i | ||||
\(718\) | 9.95292 | + | 18.7139i | 0.371440 | + | 0.698395i | ||||
\(719\) | 1.01514 | − | 0.586090i | 0.0378583 | − | 0.0218575i | −0.480951 | − | 0.876747i | \(-0.659709\pi\) |
0.518810 | + | 0.854890i | \(0.326375\pi\) | |||||||
\(720\) | −7.35441 | + | 4.16511i | −0.274083 | + | 0.155224i | ||||
\(721\) | −5.68842 | + | 0.467784i | −0.211848 | + | 0.0174212i | ||||
\(722\) | 15.8517 | + | 9.90287i | 0.589939 | + | 0.368547i | ||||
\(723\) | −1.34990 | − | 10.2535i | −0.0502033 | − | 0.381332i | ||||
\(724\) | −13.2955 | + | 4.45179i | −0.494123 | + | 0.165449i | ||||
\(725\) | −40.1688 | − | 5.28832i | −1.49183 | − | 0.196403i | ||||
\(726\) | 0.106549 | − | 0.233867i | 0.00395440 | − | 0.00867961i | ||||
\(727\) | −15.4155 | − | 15.4155i | −0.571727 | − | 0.571727i | 0.360883 | − | 0.932611i | \(-0.382475\pi\) |
−0.932611 | + | 0.360883i | \(0.882475\pi\) | |||||||
\(728\) | 30.3415 | − | 22.2226i | 1.12453 | − | 0.823623i | ||||
\(729\) | 5.67579 | − | 5.67579i | 0.210214 | − | 0.210214i | ||||
\(730\) | 4.72622 | + | 12.6367i | 0.174925 | + | 0.467705i | ||||
\(731\) | 0.122233 | − | 0.928448i | 0.00452093 | − | 0.0343399i | ||||
\(732\) | 10.8768 | − | 9.45921i | 0.402020 | − | 0.349622i | ||||
\(733\) | −36.6402 | + | 4.82377i | −1.35334 | + | 0.178170i | −0.772067 | − | 0.635541i | \(-0.780777\pi\) |
−0.581269 | + | 0.813712i | \(0.697444\pi\) | |||||||
\(734\) | 4.96707 | + | 21.5042i | 0.183338 | + | 0.793734i | ||||
\(735\) | 3.93747 | + | 4.79318i | 0.145236 | + | 0.176799i | ||||
\(736\) | 23.1807 | − | 8.45120i | 0.854451 | − | 0.311515i | ||||
\(737\) | −12.3952 | − | 21.4691i | −0.456583 | − | 0.790824i | ||||
\(738\) | 19.7878 | + | 6.04742i | 0.728400 | + | 0.222609i | ||||
\(739\) | 19.9418 | + | 25.9887i | 0.733571 | + | 0.956009i | 0.999969 | − | 0.00785441i | \(-0.00250016\pi\) |
−0.266398 | + | 0.963863i | \(0.585833\pi\) | |||||||
\(740\) | 7.86060 | − | 1.52970i | 0.288961 | − | 0.0562329i | ||||
\(741\) | 10.1670 | − | 4.21129i | 0.373492 | − | 0.154706i | ||||
\(742\) | −19.8693 | − | 13.8058i | −0.729424 | − | 0.506825i | ||||
\(743\) | 1.07158 | − | 1.07158i | 0.0393126 | − | 0.0393126i | −0.687177 | − | 0.726490i | \(-0.741150\pi\) |
0.726490 | + | 0.687177i | \(0.241150\pi\) | |||||||
\(744\) | −2.27637 | + | 2.40034i | −0.0834556 | + | 0.0880008i | ||||
\(745\) | −7.21535 | + | 1.93335i | −0.264350 | + | 0.0708323i | ||||
\(746\) | 22.4120 | − | 2.16046i | 0.820562 | − | 0.0791002i | ||||
\(747\) | 6.18484 | − | 8.06023i | 0.226291 | − | 0.294909i | ||||
\(748\) | 19.1067 | − | 21.6056i | 0.698611 | − | 0.789979i | ||||
\(749\) | −3.99865 | + | 12.4551i | −0.146107 | + | 0.455101i | ||||
\(750\) | 9.62175 | + | 6.01090i | 0.351337 | + | 0.219487i | ||||
\(751\) | −1.92961 | + | 1.11406i | −0.0704124 | + | 0.0406526i | −0.534793 | − | 0.844983i | \(-0.679610\pi\) |
0.464380 | + | 0.885636i | \(0.346277\pi\) | |||||||
\(752\) | 22.5977 | − | 9.14139i | 0.824054 | − | 0.333352i | ||||
\(753\) | 2.68224 | + | 1.54859i | 0.0977464 | + | 0.0564339i | ||||
\(754\) | −71.0106 | − | 2.47209i | −2.58605 | − | 0.0900284i | ||||
\(755\) | −13.5244 | − | 5.60200i | −0.492204 | − | 0.203878i | ||||
\(756\) | 15.4111 | + | 19.5746i | 0.560496 | + | 0.711920i | ||||
\(757\) | −0.781145 | − | 1.88585i | −0.0283912 | − | 0.0685424i | 0.909048 | − | 0.416691i | \(-0.136810\pi\) |
−0.937439 | + | 0.348149i | \(0.886810\pi\) | |||||||
\(758\) | 24.2149 | + | 11.0322i | 0.879525 | + | 0.400708i | ||||
\(759\) | 12.6063 | − | 3.37786i | 0.457581 | − | 0.122608i | ||||
\(760\) | −1.03776 | − | 6.53852i | −0.0376436 | − | 0.237177i | ||||
\(761\) | −16.9724 | − | 4.54773i | −0.615248 | − | 0.164855i | −0.0622814 | − | 0.998059i | \(-0.519838\pi\) |
−0.552967 | + | 0.833203i | \(0.686504\pi\) | |||||||
\(762\) | 3.20688 | − | 19.1762i | 0.116173 | − | 0.694682i | ||||
\(763\) | 7.74451 | − | 12.0176i | 0.280370 | − | 0.435068i | ||||
\(764\) | 18.7193 | − | 9.13502i | 0.677242 | − | 0.330493i | ||||
\(765\) | 9.19269 | − | 1.21024i | 0.332363 | − | 0.0437564i | ||||
\(766\) | −0.825237 | + | 2.70027i | −0.0298170 | + | 0.0975646i | ||||
\(767\) | 35.5434 | − | 61.5630i | 1.28340 | − | 2.22291i | ||||
\(768\) | 5.35079 | + | 13.5496i | 0.193080 | + | 0.488927i | ||||
\(769\) | 49.4314 | 1.78254 | 0.891271 | − | 0.453471i | \(-0.149814\pi\) | ||||
0.891271 | + | 0.453471i | \(0.149814\pi\) | |||||||
\(770\) | −3.64009 | − | 11.4009i | −0.131180 | − | 0.410861i | ||||
\(771\) | −1.72582 | + | 4.16649i | −0.0621537 | + | 0.150052i | ||||
\(772\) | 7.78584 | + | 5.24918i | 0.280219 | + | 0.188922i | ||||
\(773\) | −0.963800 | + | 7.32079i | −0.0346655 | + | 0.263310i | 0.965332 | + | 0.261025i | \(0.0840606\pi\) |
−0.999997 | + | 0.00228493i | \(0.999273\pi\) | |||||||
\(774\) | −0.505631 | − | 0.416718i | −0.0181745 | − | 0.0149786i | ||||
\(775\) | −5.02864 | − | 1.34742i | −0.180634 | − | 0.0484008i | ||||
\(776\) | 36.8852 | − | 29.8888i | 1.32410 | − | 1.07294i | ||||
\(777\) | −3.34089 | − | 9.33017i | −0.119854 | − | 0.334718i | ||||
\(778\) | 27.0888 | − | 19.3267i | 0.971181 | − | 0.692894i | ||||
\(779\) | −9.86642 | + | 12.8582i | −0.353501 | + | 0.460692i | ||||
\(780\) | 7.97217 | + | 3.97264i | 0.285450 | + | 0.142243i | ||||
\(781\) | −25.3304 | + | 19.4367i | −0.906392 | + | 0.695499i | ||||
\(782\) | −27.0508 | − | 0.941720i | −0.967333 | − | 0.0336758i | ||||
\(783\) | − | 47.0675i | − | 1.68206i | ||||||
\(784\) | −23.8926 | + | 14.5995i | −0.853306 | + | 0.521410i | ||||
\(785\) | 9.99302i | 0.356666i | ||||||||
\(786\) | 0.499515 | − | 14.3485i | 0.0178171 | − | 0.511794i | ||||
\(787\) | −34.1030 | + | 26.1682i | −1.21564 | + | 0.932794i | −0.999055 | − | 0.0434693i | \(-0.986159\pi\) |
−0.216586 | + | 0.976263i | \(0.569492\pi\) | |||||||
\(788\) | 2.70511 | + | 8.07893i | 0.0963654 | + | 0.287800i | ||||
\(789\) | −16.4738 | + | 21.4691i | −0.586483 | + | 0.764319i | ||||
\(790\) | −5.69499 | − | 7.98226i | −0.202619 | − | 0.283996i | ||||
\(791\) | 11.5906 | + | 32.3694i | 0.412115 | + | 1.15092i | ||||
\(792\) | −5.73775 | − | 19.3474i | −0.203882 | − | 0.687480i | ||||
\(793\) | 38.4276 | + | 10.2966i | 1.36460 | + | 0.365644i | ||||
\(794\) | 25.5515 | − | 31.0032i | 0.906789 | − | 1.10026i | ||||
\(795\) | 0.747936 | − | 5.68114i | 0.0265266 | − | 0.201489i | ||||
\(796\) | 48.1858 | − | 9.37713i | 1.70790 | − | 0.332363i | ||||
\(797\) | −9.53022 | + | 23.0080i | −0.337578 | + | 0.814985i | 0.660369 | + | 0.750941i | \(0.270400\pi\) |
−0.997947 | + | 0.0640439i | \(0.979600\pi\) | |||||||
\(798\) | −7.80479 | + | 2.49192i | −0.276286 | + | 0.0882129i | ||||
\(799\) | −26.7419 | −0.946059 | ||||||||
\(800\) | −14.7269 | + | 17.5701i | −0.520676 | + | 0.621196i | ||||
\(801\) | 8.95289 | − | 15.5069i | 0.316335 | − | 0.547908i | ||||
\(802\) | −18.0819 | − | 5.52607i | −0.638494 | − | 0.195132i | ||||
\(803\) | −31.9376 | + | 4.20466i | −1.12705 | + | 0.148379i | ||||
\(804\) | −12.9888 | − | 4.46928i | −0.458080 | − | 0.157619i | ||||
\(805\) | −6.08397 | + | 9.44087i | −0.214432 | + | 0.332747i | ||||
\(806\) | −9.00499 | − | 1.50592i | −0.317187 | − | 0.0530439i | ||||
\(807\) | 12.1099 | + | 3.24483i | 0.426288 | + | 0.114223i | ||||
\(808\) | −8.71918 | − | 14.2181i | −0.306740 | − | 0.500191i | ||||
\(809\) | 31.7577 | − | 8.50944i | 1.11654 | − | 0.299176i | 0.347057 | − | 0.937844i | \(-0.387181\pi\) |
0.769482 | + | 0.638668i | \(0.220514\pi\) | |||||||
\(810\) | 1.27046 | − | 2.78857i | 0.0446395 | − | 0.0979804i | ||||
\(811\) | −5.24775 | − | 12.6692i | −0.184274 | − | 0.444876i | 0.804565 | − | 0.593864i | \(-0.202398\pi\) |
−0.988839 | + | 0.148988i | \(0.952398\pi\) | |||||||
\(812\) | 52.5287 | + | 6.25118i | 1.84340 | + | 0.219374i | ||||
\(813\) | 3.87672 | + | 1.60579i | 0.135962 | + | 0.0563174i | ||||
\(814\) | −0.665237 | + | 19.1088i | −0.0233165 | + | 0.669764i | ||||
\(815\) | 5.37459 | + | 3.10302i | 0.188264 | + | 0.108694i | ||||
\(816\) | 0.132584 | − | 15.9807i | 0.00464136 | − | 0.559438i | ||||
\(817\) | 0.444472 | − | 0.256616i | 0.0155501 | − | 0.00897785i | ||||
\(818\) | 26.2694 | − | 42.0498i | 0.918487 | − | 1.47024i | ||||
\(819\) | −8.82416 | + | 27.4858i | −0.308341 | + | 0.960433i | ||||
\(820\) | −13.0936 | + | 0.803668i | −0.457249 | + | 0.0280653i | ||||
\(821\) | 27.4974 | − | 35.8353i | 0.959666 | − | 1.25066i | −0.00839939 | − | 0.999965i | \(-0.502674\pi\) |
0.968066 | − | 0.250697i | \(-0.0806597\pi\) | |||||||
\(822\) | 0.175185 | + | 1.81731i | 0.00611027 | + | 0.0633861i | ||||
\(823\) | 7.36430 | − | 1.97326i | 0.256703 | − | 0.0687835i | −0.128172 | − | 0.991752i | \(-0.540911\pi\) |
0.384876 | + | 0.922968i | \(0.374244\pi\) | |||||||
\(824\) | 5.57339 | − | 2.48359i | 0.194158 | − | 0.0865198i | ||||
\(825\) | −8.57488 | + | 8.57488i | −0.298539 | + | 0.298539i | ||||
\(826\) | −30.1990 | + | 43.4625i | −1.05076 | + | 1.51225i | ||||
\(827\) | 36.9855 | − | 15.3199i | 1.28611 | − | 0.532725i | 0.368287 | − | 0.929712i | \(-0.379944\pi\) |
0.917824 | + | 0.396987i | \(0.129944\pi\) | |||||||
\(828\) | −10.5868 | + | 15.7029i | −0.367917 | + | 0.545713i | ||||
\(829\) | 5.12585 | + | 6.68013i | 0.178028 | + | 0.232011i | 0.873840 | − | 0.486213i | \(-0.161622\pi\) |
−0.695812 | + | 0.718224i | \(0.744955\pi\) | |||||||
\(830\) | −1.88257 | + | 6.15999i | −0.0653450 | + | 0.213816i | ||||
\(831\) | 8.84558 | + | 15.3210i | 0.306850 | + | 0.531479i | ||||
\(832\) | −22.7515 | + | 33.1494i | −0.788765 | + | 1.14925i | ||||
\(833\) | 30.3041 | − | 5.01801i | 1.04997 | − | 0.173864i | ||||
\(834\) | 18.1818 | − | 4.19965i | 0.629583 | − | 0.145422i | ||||
\(835\) | 17.4612 | − | 2.29881i | 0.604270 | − | 0.0795537i | ||||
\(836\) | 15.7688 | + | 1.09925i | 0.545376 | + | 0.0380185i | ||||
\(837\) | 0.789416 | − | 5.99621i | 0.0272862 | − | 0.207259i | ||||
\(838\) | −5.38961 | + | 2.01576i | −0.186181 | + | 0.0696331i | ||||
\(839\) | −40.5214 | + | 40.5214i | −1.39896 | + | 1.39896i | −0.595887 | + | 0.803068i | \(0.703199\pi\) |
−0.803068 | + | 0.595887i | \(0.796801\pi\) | |||||||
\(840\) | −5.66741 | − | 3.44319i | −0.195544 | − | 0.118801i | ||||
\(841\) | −50.1628 | − | 50.1628i | −1.72975 | − | 1.72975i | ||||
\(842\) | 12.7847 | + | 5.82468i | 0.440592 | + | 0.200732i | ||||
\(843\) | 15.6665 | + | 2.06254i | 0.539585 | + | 0.0710377i | ||||
\(844\) | −3.77053 | + | 7.56658i | −0.129787 | + | 0.260453i | ||||
\(845\) | 1.55723 | + | 11.8283i | 0.0535703 | + | 0.406907i | ||||
\(846\) | −9.91348 | + | 15.8687i | −0.340833 | + | 0.545577i | ||||
\(847\) | −0.526284 | + | 0.0432786i | −0.0180833 | + | 0.00148707i | ||||
\(848\) | 24.9276 | + | 6.90147i | 0.856016 | + | 0.236997i | ||||
\(849\) | 12.3104 | − | 7.10743i | 0.422493 | − | 0.243926i | ||||
\(850\) | 22.2050 | − | 11.8097i | 0.761625 | − | 0.405069i | ||||
\(851\) | 14.2357 | − | 10.9234i | 0.487994 | − | 0.374451i | ||||
\(852\) | −3.52334 | + | 17.3369i | −0.120708 | + | 0.593952i | ||||
\(853\) | −4.42841 | − | 10.6911i | −0.151626 | − | 0.366058i | 0.829755 | − | 0.558127i | \(-0.188480\pi\) |
−0.981381 | + | 0.192070i | \(0.938480\pi\) | |||||||
\(854\) | −27.8688 | − | 10.0294i | −0.953651 | − | 0.343199i | ||||
\(855\) | 3.59322 | + | 3.59322i | 0.122885 | + | 0.122885i | ||||
\(856\) | −0.370583 | − | 13.9796i | −0.0126663 | − | 0.477812i | ||||
\(857\) | −4.19142 | − | 15.6426i | −0.143176 | − | 0.534340i | −0.999830 | − | 0.0184485i | \(-0.994127\pi\) |
0.856654 | − | 0.515892i | \(-0.172539\pi\) | |||||||
\(858\) | −13.5258 | + | 16.4117i | −0.461763 | + | 0.560286i | ||||
\(859\) | 1.51268 | + | 1.16072i | 0.0516119 | + | 0.0396032i | 0.634245 | − | 0.773132i | \(-0.281311\pi\) |
−0.582633 | + | 0.812735i | \(0.697978\pi\) | |||||||
\(860\) | 0.392807 | + | 0.135160i | 0.0133946 | + | 0.00460891i | ||||
\(861\) | 3.43102 | + | 15.8676i | 0.116929 | + | 0.540767i | ||||
\(862\) | −7.22618 | − | 31.2847i | −0.246125 | − | 1.06556i | ||||
\(863\) | −23.6121 | − | 40.8974i | −0.803765 | − | 1.39216i | −0.917122 | − | 0.398608i | \(-0.869494\pi\) |
0.113356 | − | 0.993554i | \(-0.463840\pi\) | |||||||
\(864\) | −22.4700 | − | 14.2980i | −0.764445 | − | 0.486427i | ||||
\(865\) | −7.71049 | + | 13.3550i | −0.262165 | + | 0.454082i | ||||
\(866\) | 8.38952 | − | 7.82504i | 0.285088 | − | 0.265906i | ||||
\(867\) | −0.785877 | + | 1.89728i | −0.0266898 | + | 0.0644349i | ||||
\(868\) | 6.58710 | + | 1.67739i | 0.223581 | + | 0.0569342i | ||||
\(869\) | 21.6301 | − | 8.95949i | 0.733751 | − | 0.303930i | ||||
\(870\) | 4.38881 | + | 11.7345i | 0.148794 | + | 0.397838i | ||||
\(871\) | −9.81202 | − | 36.6190i | −0.332468 | − | 1.24079i | ||||
\(872\) | −3.56319 | + | 14.8629i | −0.120665 | + | 0.503320i | ||||
\(873\) | −9.43140 | + | 35.1985i | −0.319205 | + | 1.19129i | ||||
\(874\) | −8.61562 | − | 12.0759i | −0.291428 | − | 0.408473i | ||||
\(875\) | 1.13830 | − | 23.2834i | 0.0384815 | − | 0.787121i | ||||
\(876\) | −11.8243 | + | 13.3708i | −0.399507 | + | 0.451757i | ||||
\(877\) | 2.95235 | + | 22.4253i | 0.0996939 | + | 0.757250i | 0.966147 | + | 0.257992i | \(0.0830608\pi\) |
−0.866453 | + | 0.499258i | \(0.833606\pi\) | |||||||
\(878\) | −51.7430 | + | 27.5194i | −1.74624 | + | 0.928734i | ||||
\(879\) | −3.16435 | − | 1.82694i | −0.106731 | − | 0.0616211i | ||||
\(880\) | 7.70417 | + | 10.2146i | 0.259708 | + | 0.344335i | ||||
\(881\) | 41.1844i | 1.38754i | 0.720198 | + | 0.693768i | \(0.244051\pi\) | ||||
−0.720198 | + | 0.693768i | \(0.755949\pi\) | |||||||
\(882\) | 8.25634 | − | 19.8428i | 0.278005 | − | 0.668140i | ||||
\(883\) | −7.40154 | − | 3.06582i | −0.249082 | − | 0.103173i | 0.254650 | − | 0.967033i | \(-0.418040\pi\) |
−0.503731 | + | 0.863860i | \(0.668040\pi\) | |||||||
\(884\) | 36.7749 | − | 24.3522i | 1.23687 | − | 0.819052i | ||||
\(885\) | −12.4271 | − | 1.63605i | −0.417731 | − | 0.0549953i | ||||
\(886\) | −3.14907 | − | 32.6675i | −0.105795 | − | 1.09749i | ||||
\(887\) | −5.96242 | + | 22.2521i | −0.200199 | + | 0.747151i | 0.790661 | + | 0.612254i | \(0.209737\pi\) |
−0.990860 | + | 0.134897i | \(0.956930\pi\) | |||||||
\(888\) | 6.67001 | + | 8.23134i | 0.223831 | + | 0.276226i | ||||
\(889\) | −37.6111 | + | 13.4675i | −1.26144 | + | 0.451687i | ||||
\(890\) | −1.87245 | + | 11.1967i | −0.0627648 | + | 0.375316i | ||||
\(891\) | 5.80462 | + | 4.45404i | 0.194462 | + | 0.149216i | ||||
\(892\) | −1.78328 | + | 25.5812i | −0.0597086 | + | 0.856522i | ||||
\(893\) | −8.92202 | − | 11.6274i | −0.298564 | − | 0.389096i | ||||
\(894\) | −6.74064 | − | 7.22690i | −0.225441 | − | 0.241704i | ||||
\(895\) | 14.4782 | 0.483954 | ||||||||
\(896\) | 18.9413 | − | 23.1782i | 0.632783 | − | 0.774329i | ||||
\(897\) | 19.9583 | 0.666389 | ||||||||
\(898\) | −28.3173 | − | 30.3600i | −0.944961 | − | 1.01313i | ||||
\(899\) | −7.81766 | − | 10.1882i | −0.260734 | − | 0.339795i | ||||
\(900\) | 1.22373 | − | 17.5545i | 0.0407911 | − | 0.585149i | ||||
\(901\) | −22.5113 | − | 17.2736i | −0.749961 | − | 0.575466i | ||||
\(902\) | 5.16626 | − | 30.8927i | 0.172018 | − | 1.02862i | ||||
\(903\) | 0.0919099 | − | 0.505803i | 0.00305857 | − | 0.0168321i | ||||
\(904\) | −23.1404 | − | 28.5572i | −0.769639 | − | 0.949799i | ||||
\(905\) | −1.76596 | + | 6.59064i | −0.0587024 | + | 0.219080i | ||||
\(906\) | −1.85830 | − | 19.2774i | −0.0617379 | − | 0.640450i | ||||
\(907\) | 12.6626 | + | 1.66707i | 0.420456 | + | 0.0553541i | 0.337786 | − | 0.941223i | \(-0.390322\pi\) |
0.0826701 | + | 0.996577i | \(0.473655\pi\) | |||||||
\(908\) | −10.6565 | + | 7.05667i | −0.353648 | + | 0.234184i | ||||
\(909\) | 11.8275 | + | 4.89912i | 0.392294 | + | 0.162494i | ||||
\(910\) | −0.864461 | − | 18.2816i | −0.0286566 | − | 0.606028i | ||||
\(911\) | − | 17.3910i | − | 0.576188i | −0.957602 | − | 0.288094i | \(-0.906978\pi\) | ||
0.957602 | − | 0.288094i | \(-0.0930216\pi\) | |||||||
\(912\) | 6.99268 | − | 5.27408i | 0.231551 | − | 0.174642i | ||||
\(913\) | −13.3189 | − | 7.68970i | −0.440793 | − | 0.254492i | ||||
\(914\) | 37.6121 | − | 20.0039i | 1.24410 | − | 0.661670i | ||||
\(915\) | −0.915602 | − | 6.95469i | −0.0302689 | − | 0.229915i | ||||
\(916\) | −1.57963 | + | 1.78622i | −0.0521924 | + | 0.0590183i | ||||
\(917\) | −26.2379 | + | 13.4851i | −0.866453 | + | 0.445317i | ||||
\(918\) | 16.9692 | + | 23.7845i | 0.560068 | + | 0.785007i | ||||
\(919\) | 12.5385 | − | 46.7944i | 0.413608 | − | 1.54361i | −0.374000 | − | 0.927429i | \(-0.622014\pi\) |
0.787608 | − | 0.616177i | \(-0.211319\pi\) | |||||||
\(920\) | 2.79918 | − | 11.6760i | 0.0922863 | − | 0.384948i | ||||
\(921\) | 5.89602 | + | 22.0042i | 0.194280 | + | 0.725064i | ||||
\(922\) | −9.47544 | − | 25.3349i | −0.312057 | − | 0.834361i | ||||
\(923\) | −45.1097 | + | 18.6850i | −1.48480 | + | 0.615025i | ||||
\(924\) | 11.0556 | − | 11.3344i | 0.363703 | − | 0.372875i | ||||
\(925\) | −6.38044 | + | 15.4037i | −0.209787 | + | 0.506472i | ||||
\(926\) | 30.7198 | − | 28.6529i | 1.00952 | − | 0.941591i | ||||
\(927\) | −2.34174 | + | 4.05601i | −0.0769128 | + | 0.133217i | ||||
\(928\) | −55.2047 | + | 12.2698i | −1.81218 | + | 0.402774i | ||||
\(929\) | 6.11431 | + | 10.5903i | 0.200604 | + | 0.347456i | 0.948723 | − | 0.316108i | \(-0.102376\pi\) |
−0.748119 | + | 0.663564i | \(0.769043\pi\) | |||||||
\(930\) | 0.362304 | + | 1.56854i | 0.0118804 | + | 0.0514345i | ||||
\(931\) | 12.2923 | + | 11.5021i | 0.402865 | + | 0.376965i | ||||
\(932\) | −13.2382 | − | 4.55510i | −0.433632 | − | 0.149207i | ||||
\(933\) | −8.48798 | − | 6.51306i | −0.277884 | − | 0.213228i | ||||
\(934\) | 23.7545 | − | 28.8228i | 0.777270 | − | 0.943111i | ||||
\(935\) | −3.63269 | − | 13.5574i | −0.118802 | − | 0.443374i | ||||
\(936\) | −0.817798 | − | 30.8499i | −0.0267306 | − | 1.00836i | ||||
\(937\) | 24.2539 | + | 24.2539i | 0.792340 | + | 0.792340i | 0.981874 | − | 0.189534i | \(-0.0606977\pi\) |
−0.189534 | + | 0.981874i | \(0.560698\pi\) | |||||||
\(938\) | 5.00166 | + | 27.7778i | 0.163310 | + | 0.906979i | ||||
\(939\) | 10.3742 | + | 25.0456i | 0.338550 | + | 0.817333i | ||||
\(940\) | 2.36252 | − | 11.6250i | 0.0770569 | − | 0.379164i | ||||
\(941\) | 18.9461 | − | 14.5378i | 0.617625 | − | 0.473920i | −0.251938 | − | 0.967743i | \(-0.581068\pi\) |
0.869562 | + | 0.493823i | \(0.164401\pi\) | |||||||
\(942\) | −11.6724 | + | 6.20795i | −0.380308 | + | 0.202266i | ||||
\(943\) | −25.4561 | + | 14.6971i | −0.828964 | + | 0.478603i | ||||
\(944\) | 15.0964 | − | 54.5271i | 0.491347 | − | 1.77471i | ||||
\(945\) | 12.0829 | − | 0.993628i | 0.393056 | − | 0.0323227i | ||||
\(946\) | −0.525511 | + | 0.841195i | −0.0170858 | + | 0.0273496i | ||||
\(947\) | −3.37621 | − | 25.6449i | −0.109712 | − | 0.833347i | −0.954493 | − | 0.298234i | \(-0.903602\pi\) |
0.844781 | − | 0.535113i | \(-0.179731\pi\) | |||||||
\(948\) | 5.78586 | − | 11.6109i | 0.187916 | − | 0.377104i | ||||
\(949\) | −48.8407 | − | 6.42999i | −1.58543 | − | 0.208726i | ||||
\(950\) | 12.5432 | + | 5.71465i | 0.406956 | + | 0.185408i | ||||
\(951\) | 12.4604 | + | 12.4604i | 0.404055 | + | 0.404055i | ||||
\(952\) | −28.7980 | + | 15.7792i | −0.933348 | + | 0.511408i | ||||
\(953\) | −38.2377 | + | 38.2377i | −1.23864 | + | 1.23864i | −0.278082 | + | 0.960557i | \(0.589699\pi\) |
−0.960557 | + | 0.278082i | \(0.910301\pi\) | |||||||
\(954\) | −18.5954 | + | 6.95480i | −0.602047 | + | 0.225170i | ||||
\(955\) | 1.32306 | − | 10.0496i | 0.0428131 | − | 0.325198i | ||||
\(956\) | −28.1289 | − | 1.96088i | −0.909755 | − | 0.0634195i | ||||
\(957\) | −29.6575 | + | 3.90449i | −0.958692 | + | 0.126214i | ||||
\(958\) | −7.99432 | + | 1.84654i | −0.258285 | + | 0.0596590i | ||||
\(959\) | 3.08418 | − | 2.13568i | 0.0995934 | − | 0.0689646i | ||||
\(960\) | 6.93527 | + | 1.46946i | 0.223835 | + | 0.0474266i | ||||
\(961\) | 14.6749 | + | 25.4177i | 0.473385 | + | 0.819927i | ||||
\(962\) | −8.54592 | + | 27.9632i | −0.275532 | + | 0.901570i | ||||
\(963\) | 6.53447 | + | 8.51589i | 0.210570 | + | 0.274421i | ||||
\(964\) | 12.6994 | − | 18.8363i | 0.409019 | − | 0.606677i | ||||
\(965\) | 4.22171 | − | 1.74869i | 0.135902 | − | 0.0562923i | ||||
\(966\) | −14.8070 | − | 1.24149i | −0.476408 | − | 0.0399442i | ||||
\(967\) | 5.00565 | − | 5.00565i | 0.160971 | − | 0.160971i | −0.622026 | − | 0.782997i | \(-0.713690\pi\) |
0.782997 | + | 0.622026i | \(0.213690\pi\) | |||||||
\(968\) | 0.515641 | − | 0.229778i | 0.0165733 | − | 0.00738533i | ||||
\(969\) | −9.28105 | + | 2.48685i | −0.298150 | + | 0.0798891i | ||||
\(970\) | −2.21680 | − | 22.9964i | −0.0711771 | − | 0.738370i | ||||
\(971\) | 23.1958 | − | 30.2294i | 0.744389 | − | 0.970107i | −0.255605 | − | 0.966781i | \(-0.582275\pi\) |
0.999994 | − | 0.00332566i | \(-0.00105859\pi\) | |||||||
\(972\) | 32.2423 | − | 1.97899i | 1.03417 | − | 0.0634760i | ||||
\(973\) | −25.7561 | − | 28.4039i | −0.825703 | − | 0.910589i | ||||
\(974\) | −4.81747 | + | 7.71142i | −0.154362 | + | 0.247090i | ||||
\(975\) | −16.0603 | + | 9.27241i | −0.514341 | + | 0.296955i | ||||
\(976\) | 31.6625 | + | 0.262687i | 1.01349 | + | 0.00840840i | ||||
\(977\) | 16.8022 | + | 9.70077i | 0.537551 | + | 0.310355i | 0.744086 | − | 0.668084i | \(-0.232885\pi\) |
−0.206535 | + | 0.978439i | \(0.566219\pi\) | |||||||
\(978\) | −0.285659 | + | 8.20553i | −0.00913438 | + | 0.262384i | ||||
\(979\) | −25.0419 | − | 10.3727i | −0.800342 | − | 0.331512i | ||||
\(980\) | −0.495847 | + | 13.6168i | −0.0158393 | + | 0.434973i | ||||
\(981\) | −4.48946 | − | 10.8385i | −0.143337 | − | 0.346047i | ||||
\(982\) | −7.49978 | + | 16.4615i | −0.239328 | + | 0.525306i | ||||
\(983\) | 7.34689 | − | 1.96859i | 0.234329 | − | 0.0627884i | −0.139743 | − | 0.990188i | \(-0.544628\pi\) |
0.374073 | + | 0.927399i | \(0.377961\pi\) | |||||||
\(984\) | −9.07286 | − | 14.7948i | −0.289232 | − | 0.471642i | ||||
\(985\) | 4.00477 | + | 1.07307i | 0.127603 | + | 0.0341910i | ||||
\(986\) | 61.1892 | + | 10.2328i | 1.94866 | + | 0.325878i | ||||
\(987\) | −14.6629 | − | 0.716852i | −0.466725 | − | 0.0228177i | ||||
\(988\) | 22.8577 | + | 7.86505i | 0.727201 | + | 0.250220i | ||||
\(989\) | 0.922849 | − | 0.121495i | 0.0293449 | − | 0.00386333i | ||||
\(990\) | −9.39167 | − | 2.87022i | −0.298487 | − | 0.0912215i | ||||
\(991\) | 4.63856 | − | 8.03422i | 0.147349 | − | 0.255215i | −0.782898 | − | 0.622150i | \(-0.786259\pi\) |
0.930247 | + | 0.366935i | \(0.119593\pi\) | |||||||
\(992\) | −7.23864 | + | 0.637223i | −0.229827 | + | 0.0202318i | ||||
\(993\) | −14.3711 | −0.456052 | ||||||||
\(994\) | 34.6290 | − | 11.0564i | 1.09837 | − | 0.350687i | ||||
\(995\) | 9.14187 | − | 22.0704i | 0.289817 | − | 0.699680i | ||||
\(996\) | −8.36473 | + | 1.62781i | −0.265047 | + | 0.0515790i | ||||
\(997\) | −5.52736 | + | 41.9845i | −0.175053 | + | 1.32966i | 0.647975 | + | 0.761661i | \(0.275616\pi\) |
−0.823028 | + | 0.568000i | \(0.807717\pi\) | |||||||
\(998\) | 19.3937 | − | 23.5316i | 0.613896 | − | 0.744878i | ||||
\(999\) | −18.7092 | − | 5.01312i | −0.591934 | − | 0.158608i |
(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 | 224.2.bd.a.109.24 | yes | 240 | |
4.3 | odd | 2 | 896.2.bh.a.529.12 | 240 | |||
7.2 | even | 3 | inner | 224.2.bd.a.205.18 | yes | 240 | |
28.23 | odd | 6 | 896.2.bh.a.401.19 | 240 | |||
32.5 | even | 8 | inner | 224.2.bd.a.165.18 | yes | 240 | |
32.27 | odd | 8 | 896.2.bh.a.753.19 | 240 | |||
224.37 | even | 24 | inner | 224.2.bd.a.37.24 | ✓ | 240 | |
224.219 | odd | 24 | 896.2.bh.a.625.12 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.37.24 | ✓ | 240 | 224.37 | even | 24 | inner | |
224.2.bd.a.109.24 | yes | 240 | 1.1 | even | 1 | trivial | |
224.2.bd.a.165.18 | yes | 240 | 32.5 | even | 8 | inner | |
224.2.bd.a.205.18 | yes | 240 | 7.2 | even | 3 | inner | |
896.2.bh.a.401.19 | 240 | 28.23 | odd | 6 | |||
896.2.bh.a.529.12 | 240 | 4.3 | odd | 2 | |||
896.2.bh.a.625.12 | 240 | 224.219 | odd | 24 | |||
896.2.bh.a.753.19 | 240 | 32.27 | odd | 8 |