Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(7,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.m (of order \(15\), 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: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 93.7 |
Dual form | 93.2.m.b.40.2 |
$q$-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 \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.362683 | + | 1.11622i | 0.256455 | + | 0.789288i | 0.993539 | + | 0.113487i | \(0.0362022\pi\) |
−0.737084 | + | 0.675801i | \(0.763798\pi\) | |||||||
\(3\) | −0.978148 | + | 0.207912i | −0.564734 | + | 0.120038i | ||||
\(4\) | 0.503620 | − | 0.365901i | 0.251810 | − | 0.182951i | ||||
\(5\) | −2.03997 | + | 3.53333i | −0.912302 | + | 1.58015i | −0.101497 | + | 0.994836i | \(0.532363\pi\) |
−0.810805 | + | 0.585317i | \(0.800970\pi\) | |||||||
\(6\) | −0.586833 | − | 1.01642i | −0.239574 | − | 0.414953i | ||||
\(7\) | 1.97984 | + | 0.881481i | 0.748308 | + | 0.333168i | 0.745213 | − | 0.666827i | \(-0.232348\pi\) |
0.00309570 | + | 0.999995i | \(0.499015\pi\) | |||||||
\(8\) | 2.49011 | + | 1.80917i | 0.880388 | + | 0.639639i | ||||
\(9\) | 0.913545 | − | 0.406737i | 0.304515 | − | 0.135579i | ||||
\(10\) | −4.68384 | − | 0.995581i | −1.48116 | − | 0.314830i | ||||
\(11\) | −0.660107 | − | 6.28050i | −0.199030 | − | 1.89364i | −0.403826 | − | 0.914836i | \(-0.632320\pi\) |
0.204796 | − | 0.978805i | \(-0.434347\pi\) | |||||||
\(12\) | −0.416540 | + | 0.462614i | −0.120245 | + | 0.133545i | ||||
\(13\) | −1.09512 | − | 1.21625i | −0.303731 | − | 0.337328i | 0.571886 | − | 0.820333i | \(-0.306212\pi\) |
−0.875617 | + | 0.483005i | \(0.839545\pi\) | |||||||
\(14\) | −0.265876 | + | 2.52964i | −0.0710582 | + | 0.676074i | ||||
\(15\) | 1.26077 | − | 3.88025i | 0.325529 | − | 1.00188i | ||||
\(16\) | −0.731587 | + | 2.25159i | −0.182897 | + | 0.562898i | ||||
\(17\) | 0.198947 | − | 1.89285i | 0.0482516 | − | 0.459084i | −0.943544 | − | 0.331248i | \(-0.892530\pi\) |
0.991795 | − | 0.127836i | \(-0.0408030\pi\) | |||||||
\(18\) | 0.785336 | + | 0.872204i | 0.185105 | + | 0.205580i | ||||
\(19\) | 0.411346 | − | 0.456845i | 0.0943691 | − | 0.104808i | −0.694110 | − | 0.719869i | \(-0.744202\pi\) |
0.788479 | + | 0.615061i | \(0.210869\pi\) | |||||||
\(20\) | 0.265481 | + | 2.52588i | 0.0593634 | + | 0.564805i | ||||
\(21\) | −2.11984 | − | 0.450587i | −0.462588 | − | 0.0983261i | ||||
\(22\) | 6.77102 | − | 3.01465i | 1.44359 | − | 0.642726i | ||||
\(23\) | 3.79430 | + | 2.75672i | 0.791166 | + | 0.574816i | 0.908309 | − | 0.418299i | \(-0.137374\pi\) |
−0.117143 | + | 0.993115i | \(0.537374\pi\) | |||||||
\(24\) | −2.81185 | − | 1.25191i | −0.573966 | − | 0.255546i | ||||
\(25\) | −5.82294 | − | 10.0856i | −1.16459 | − | 2.01713i | ||||
\(26\) | 0.960427 | − | 1.66351i | 0.188355 | − | 0.326241i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 1.31962 | − | 0.280494i | 0.249385 | − | 0.0530084i | ||||
\(29\) | −0.358068 | − | 1.10202i | −0.0664916 | − | 0.204640i | 0.912291 | − | 0.409543i | \(-0.134312\pi\) |
−0.978782 | + | 0.204903i | \(0.934312\pi\) | |||||||
\(30\) | 4.78848 | 0.874253 | ||||||||
\(31\) | 0.846253 | + | 5.50308i | 0.151992 | + | 0.988382i | ||||
\(32\) | 3.37728 | 0.597025 | ||||||||
\(33\) | 1.95147 | + | 6.00601i | 0.339707 | + | 1.04551i | ||||
\(34\) | 2.18500 | − | 0.464435i | 0.374724 | − | 0.0796500i | ||||
\(35\) | −7.15337 | + | 5.19723i | −1.20914 | + | 0.878492i | ||||
\(36\) | 0.311254 | − | 0.539108i | 0.0518757 | − | 0.0898514i | ||||
\(37\) | 0.418263 | + | 0.724452i | 0.0687620 | + | 0.119099i | 0.898357 | − | 0.439267i | \(-0.144762\pi\) |
−0.829595 | + | 0.558366i | \(0.811428\pi\) | |||||||
\(38\) | 0.659129 | + | 0.293463i | 0.106925 | + | 0.0476060i | ||||
\(39\) | 1.32406 | + | 0.961986i | 0.212019 | + | 0.154041i | ||||
\(40\) | −11.4722 | + | 5.10773i | −1.81391 | + | 0.807603i | ||||
\(41\) | −4.72618 | − | 1.00458i | −0.738105 | − | 0.156889i | −0.176507 | − | 0.984299i | \(-0.556480\pi\) |
−0.561598 | + | 0.827410i | \(0.689813\pi\) | |||||||
\(42\) | −0.265876 | − | 2.52964i | −0.0410255 | − | 0.390331i | ||||
\(43\) | −2.75174 | + | 3.05612i | −0.419637 | + | 0.466054i | −0.915483 | − | 0.402356i | \(-0.868191\pi\) |
0.495846 | + | 0.868410i | \(0.334858\pi\) | |||||||
\(44\) | −2.63049 | − | 2.92145i | −0.396561 | − | 0.440425i | ||||
\(45\) | −0.426470 | + | 4.05759i | −0.0635743 | + | 0.604869i | ||||
\(46\) | −1.70099 | + | 5.23510i | −0.250797 | + | 0.771873i | ||||
\(47\) | 2.53194 | − | 7.79252i | 0.369322 | − | 1.13666i | −0.577908 | − | 0.816102i | \(-0.696131\pi\) |
0.947230 | − | 0.320554i | \(-0.103869\pi\) | |||||||
\(48\) | 0.247467 | − | 2.35450i | 0.0357189 | − | 0.339842i | ||||
\(49\) | −1.54116 | − | 1.71164i | −0.220166 | − | 0.244519i | ||||
\(50\) | 9.14593 | − | 10.1576i | 1.29343 | − | 1.43650i | ||||
\(51\) | 0.198947 | + | 1.89285i | 0.0278581 | + | 0.265052i | ||||
\(52\) | −0.996552 | − | 0.211824i | −0.138197 | − | 0.0293747i | ||||
\(53\) | −8.67938 | + | 3.86431i | −1.19220 | + | 0.530804i | −0.904317 | − | 0.426861i | \(-0.859619\pi\) |
−0.287887 | + | 0.957664i | \(0.592953\pi\) | |||||||
\(54\) | −0.949516 | − | 0.689863i | −0.129213 | − | 0.0938785i | ||||
\(55\) | 23.5377 | + | 10.4796i | 3.17382 | + | 1.41307i | ||||
\(56\) | 3.33527 | + | 5.77686i | 0.445694 | + | 0.771965i | ||||
\(57\) | −0.307373 | + | 0.532386i | −0.0407126 | + | 0.0705162i | ||||
\(58\) | 1.10024 | − | 0.799368i | 0.144468 | − | 0.104962i | ||||
\(59\) | 1.41225 | − | 0.300184i | 0.183860 | − | 0.0390806i | −0.115062 | − | 0.993358i | \(-0.536707\pi\) |
0.298921 | + | 0.954278i | \(0.403373\pi\) | |||||||
\(60\) | −0.784840 | − | 2.41549i | −0.101322 | − | 0.311838i | ||||
\(61\) | −7.03201 | −0.900356 | −0.450178 | − | 0.892939i | \(-0.648639\pi\) | ||||
−0.450178 | + | 0.892939i | \(0.648639\pi\) | |||||||
\(62\) | −5.83574 | + | 2.94048i | −0.741139 | + | 0.373441i | ||||
\(63\) | 2.16720 | 0.273042 | ||||||||
\(64\) | 2.68806 | + | 8.27299i | 0.336007 | + | 1.03412i | ||||
\(65\) | 6.53142 | − | 1.38830i | 0.810124 | − | 0.172197i | ||||
\(66\) | −5.99628 | + | 4.35655i | −0.738091 | + | 0.536254i | ||||
\(67\) | 4.32649 | − | 7.49370i | 0.528565 | − | 0.915501i | −0.470881 | − | 0.882197i | \(-0.656064\pi\) |
0.999445 | − | 0.0333040i | \(-0.0106030\pi\) | |||||||
\(68\) | −0.592403 | − | 1.02607i | −0.0718394 | − | 0.124430i | ||||
\(69\) | −4.28454 | − | 1.90760i | −0.515798 | − | 0.229648i | ||||
\(70\) | −8.39566 | − | 6.09981i | −1.00347 | − | 0.729066i | ||||
\(71\) | −3.60398 | + | 1.60459i | −0.427713 | + | 0.190430i | −0.609292 | − | 0.792946i | \(-0.708546\pi\) |
0.181578 | + | 0.983376i | \(0.441879\pi\) | |||||||
\(72\) | 3.01069 | + | 0.639942i | 0.354813 | + | 0.0754178i | ||||
\(73\) | 0.503825 | + | 4.79358i | 0.0589683 | + | 0.561046i | 0.983623 | + | 0.180239i | \(0.0576871\pi\) |
−0.924655 | + | 0.380807i | \(0.875646\pi\) | |||||||
\(74\) | −0.656953 | + | 0.729621i | −0.0763693 | + | 0.0848167i | ||||
\(75\) | 7.79262 | + | 8.65458i | 0.899814 | + | 0.999345i | ||||
\(76\) | 0.0400015 | − | 0.380589i | 0.00458848 | − | 0.0436565i | ||||
\(77\) | 4.22923 | − | 13.0162i | 0.481966 | − | 1.48334i | ||||
\(78\) | −0.593577 | + | 1.82684i | −0.0672093 | + | 0.206849i | ||||
\(79\) | −0.0545741 | + | 0.519238i | −0.00614007 | + | 0.0584188i | −0.997163 | − | 0.0752740i | \(-0.976017\pi\) |
0.991023 | + | 0.133693i | \(0.0426835\pi\) | |||||||
\(80\) | −6.46321 | − | 7.17812i | −0.722608 | − | 0.802538i | ||||
\(81\) | 0.669131 | − | 0.743145i | 0.0743478 | − | 0.0825716i | ||||
\(82\) | −0.592768 | − | 5.63981i | −0.0654603 | − | 0.622813i | ||||
\(83\) | −6.84291 | − | 1.45450i | −0.751106 | − | 0.159653i | −0.183577 | − | 0.983005i | \(-0.558768\pi\) |
−0.567530 | + | 0.823353i | \(0.692101\pi\) | |||||||
\(84\) | −1.23247 | + | 0.548729i | −0.134473 | + | 0.0598713i | ||||
\(85\) | 6.28222 | + | 4.56430i | 0.681402 | + | 0.495068i | ||||
\(86\) | −4.40932 | − | 1.96316i | −0.475469 | − | 0.211693i | ||||
\(87\) | 0.579367 | + | 1.00349i | 0.0621146 | + | 0.107586i | ||||
\(88\) | 9.71876 | − | 16.8334i | 1.03602 | − | 1.79445i | ||||
\(89\) | 4.12530 | − | 2.99720i | 0.437281 | − | 0.317703i | −0.347273 | − | 0.937764i | \(-0.612892\pi\) |
0.784553 | + | 0.620061i | \(0.212892\pi\) | |||||||
\(90\) | −4.68384 | + | 0.995581i | −0.493720 | + | 0.104943i | ||||
\(91\) | −1.09605 | − | 3.37331i | −0.114898 | − | 0.353619i | ||||
\(92\) | 2.91957 | 0.304387 | ||||||||
\(93\) | −1.97191 | − | 5.20688i | −0.204478 | − | 0.539928i | ||||
\(94\) | 9.61648 | 0.991864 | ||||||||
\(95\) | 0.775054 | + | 2.38537i | 0.0795188 | + | 0.244734i | ||||
\(96\) | −3.30348 | + | 0.702177i | −0.337160 | + | 0.0716656i | ||||
\(97\) | 4.05910 | − | 2.94911i | 0.412139 | − | 0.299436i | −0.362328 | − | 0.932051i | \(-0.618018\pi\) |
0.774467 | + | 0.632614i | \(0.218018\pi\) | |||||||
\(98\) | 1.35161 | − | 2.34106i | 0.136534 | − | 0.236483i | ||||
\(99\) | −3.15755 | − | 5.46903i | −0.317345 | − | 0.549658i | ||||
\(100\) | −6.62290 | − | 2.94871i | −0.662290 | − | 0.294871i | ||||
\(101\) | −7.50890 | − | 5.45554i | −0.747164 | − | 0.542846i | 0.147783 | − | 0.989020i | \(-0.452786\pi\) |
−0.894946 | + | 0.446174i | \(0.852786\pi\) | |||||||
\(102\) | −2.04069 | + | 0.908573i | −0.202058 | + | 0.0899621i | ||||
\(103\) | 4.21671 | + | 0.896290i | 0.415485 | + | 0.0883141i | 0.410911 | − | 0.911675i | \(-0.365211\pi\) |
0.00457417 | + | 0.999990i | \(0.498544\pi\) | |||||||
\(104\) | −0.526558 | − | 5.00986i | −0.0516332 | − | 0.491257i | ||||
\(105\) | 5.91649 | − | 6.57092i | 0.577390 | − | 0.641256i | ||||
\(106\) | −7.46129 | − | 8.28660i | −0.724705 | − | 0.804866i | ||||
\(107\) | −0.418666 | + | 3.98334i | −0.0404740 | + | 0.385084i | 0.955469 | + | 0.295093i | \(0.0953506\pi\) |
−0.995943 | + | 0.0899913i | \(0.971316\pi\) | |||||||
\(108\) | −0.192366 | + | 0.592041i | −0.0185104 | + | 0.0569692i | ||||
\(109\) | −3.10456 | + | 9.55485i | −0.297363 | + | 0.915189i | 0.685055 | + | 0.728492i | \(0.259778\pi\) |
−0.982418 | + | 0.186697i | \(0.940222\pi\) | |||||||
\(110\) | −3.16091 | + | 30.0740i | −0.301381 | + | 2.86745i | ||||
\(111\) | −0.559745 | − | 0.621660i | −0.0531286 | − | 0.0590053i | ||||
\(112\) | −3.43316 | + | 3.81291i | −0.324403 | + | 0.360286i | ||||
\(113\) | 1.24292 | + | 11.8256i | 0.116924 | + | 1.11246i | 0.882890 | + | 0.469579i | \(0.155594\pi\) |
−0.765966 | + | 0.642881i | \(0.777739\pi\) | |||||||
\(114\) | −0.705740 | − | 0.150010i | −0.0660986 | − | 0.0140497i | ||||
\(115\) | −17.4807 | + | 7.78289i | −1.63008 | + | 0.725758i | ||||
\(116\) | −0.583561 | − | 0.423982i | −0.0541823 | − | 0.0393658i | ||||
\(117\) | −1.49513 | − | 0.665677i | −0.138225 | − | 0.0615418i | ||||
\(118\) | 0.847272 | + | 1.46752i | 0.0779977 | + | 0.135096i | ||||
\(119\) | 2.06239 | − | 3.57217i | 0.189059 | − | 0.327460i | ||||
\(120\) | 10.1595 | − | 7.38131i | 0.927432 | − | 0.673818i | ||||
\(121\) | −28.2493 | + | 6.00457i | −2.56811 | + | 0.545870i | ||||
\(122\) | −2.55039 | − | 7.84928i | −0.230901 | − | 0.710641i | ||||
\(123\) | 4.83177 | 0.435666 | ||||||||
\(124\) | 2.43977 | + | 2.46182i | 0.219098 | + | 0.221078i | ||||
\(125\) | 27.1148 | 2.42522 | ||||||||
\(126\) | 0.786007 | + | 2.41908i | 0.0700230 | + | 0.215509i | ||||
\(127\) | −1.85665 | + | 0.394644i | −0.164751 | + | 0.0350190i | −0.289549 | − | 0.957163i | \(-0.593505\pi\) |
0.124797 | + | 0.992182i | \(0.460172\pi\) | |||||||
\(128\) | −2.79502 | + | 2.03070i | −0.247047 | + | 0.179490i | ||||
\(129\) | 2.05621 | − | 3.56146i | 0.181039 | − | 0.313569i | ||||
\(130\) | 3.91848 | + | 6.78701i | 0.343674 | + | 0.595260i | ||||
\(131\) | 12.2079 | + | 5.43529i | 1.06661 | + | 0.474884i | 0.863540 | − | 0.504281i | \(-0.168242\pi\) |
0.203067 | + | 0.979165i | \(0.434909\pi\) | |||||||
\(132\) | 3.18041 | + | 2.31070i | 0.276819 | + | 0.201121i | ||||
\(133\) | 1.21710 | − | 0.541887i | 0.105536 | − | 0.0469876i | ||||
\(134\) | 9.93378 | + | 2.11149i | 0.858148 | + | 0.182405i | ||||
\(135\) | −0.426470 | − | 4.05759i | −0.0367047 | − | 0.349221i | ||||
\(136\) | 3.91989 | − | 4.35348i | 0.336128 | − | 0.373308i | ||||
\(137\) | 13.7269 | + | 15.2452i | 1.17277 | + | 1.30249i | 0.944357 | + | 0.328924i | \(0.106686\pi\) |
0.228410 | + | 0.973565i | \(0.426647\pi\) | |||||||
\(138\) | 0.575378 | − | 5.47435i | 0.0489794 | − | 0.466008i | ||||
\(139\) | 2.47889 | − | 7.62924i | 0.210257 | − | 0.647104i | −0.789200 | − | 0.614137i | \(-0.789504\pi\) |
0.999456 | − | 0.0329669i | \(-0.0104956\pi\) | |||||||
\(140\) | −1.70091 | + | 5.23486i | −0.143753 | + | 0.442426i | ||||
\(141\) | −0.856458 | + | 8.14866i | −0.0721268 | + | 0.686241i | ||||
\(142\) | −3.09818 | − | 3.44088i | −0.259994 | − | 0.288752i | ||||
\(143\) | −6.91577 | + | 7.68074i | −0.578326 | + | 0.642296i | ||||
\(144\) | 0.247467 | + | 2.35450i | 0.0206223 | + | 0.196208i | ||||
\(145\) | 4.62425 | + | 0.982915i | 0.384023 | + | 0.0816266i | ||||
\(146\) | −5.16797 | + | 2.30093i | −0.427704 | + | 0.190426i | ||||
\(147\) | 1.86336 | + | 1.35381i | 0.153687 | + | 0.111660i | ||||
\(148\) | 0.475724 | + | 0.211806i | 0.0391043 | + | 0.0174103i | ||||
\(149\) | −7.68422 | − | 13.3095i | −0.629515 | − | 1.09035i | −0.987649 | − | 0.156682i | \(-0.949920\pi\) |
0.358134 | − | 0.933670i | \(-0.383413\pi\) | |||||||
\(150\) | −6.83419 | + | 11.8372i | −0.558009 | + | 0.966500i | ||||
\(151\) | 12.3031 | − | 8.93873i | 1.00121 | − | 0.727423i | 0.0388646 | − | 0.999244i | \(-0.487626\pi\) |
0.962348 | + | 0.271821i | \(0.0876259\pi\) | |||||||
\(152\) | 1.85081 | − | 0.393402i | 0.150120 | − | 0.0319091i | ||||
\(153\) | −0.588145 | − | 1.81012i | −0.0475487 | − | 0.146340i | ||||
\(154\) | 16.0629 | 1.29438 | ||||||||
\(155\) | −21.1705 | − | 8.23601i | −1.70046 | − | 0.661532i | ||||
\(156\) | 1.01882 | 0.0815705 | ||||||||
\(157\) | 3.66481 | + | 11.2791i | 0.292483 | + | 0.900172i | 0.984055 | + | 0.177864i | \(0.0569186\pi\) |
−0.691572 | + | 0.722308i | \(0.743081\pi\) | |||||||
\(158\) | −0.599378 | + | 0.127402i | −0.0476840 | + | 0.0101355i | ||||
\(159\) | 7.68628 | − | 5.58441i | 0.609562 | − | 0.442872i | ||||
\(160\) | −6.88955 | + | 11.9331i | −0.544667 | + | 0.943391i | ||||
\(161\) | 5.08210 | + | 8.80246i | 0.400526 | + | 0.693731i | ||||
\(162\) | 1.07220 | + | 0.477373i | 0.0842398 | + | 0.0375060i | ||||
\(163\) | −11.2082 | − | 8.14322i | −0.877893 | − | 0.637826i | 0.0548004 | − | 0.998497i | \(-0.482548\pi\) |
−0.932693 | + | 0.360671i | \(0.882548\pi\) | |||||||
\(164\) | −2.74778 | + | 1.22339i | −0.214565 | + | 0.0955307i | ||||
\(165\) | −25.2021 | − | 5.35688i | −1.96198 | − | 0.417033i | ||||
\(166\) | −0.858253 | − | 8.16573i | −0.0666133 | − | 0.633783i | ||||
\(167\) | −9.02006 | + | 10.0178i | −0.697993 | + | 0.775200i | −0.983055 | − | 0.183309i | \(-0.941319\pi\) |
0.285062 | + | 0.958509i | \(0.407986\pi\) | |||||||
\(168\) | −4.46346 | − | 4.95718i | −0.344363 | − | 0.382454i | ||||
\(169\) | 1.07889 | − | 10.2649i | 0.0829912 | − | 0.789608i | ||||
\(170\) | −2.81632 | + | 8.66775i | −0.216002 | + | 0.664786i | ||||
\(171\) | 0.189967 | − | 0.584658i | 0.0145271 | − | 0.0447099i | ||||
\(172\) | −0.267595 | + | 2.54599i | −0.0204039 | + | 0.194130i | ||||
\(173\) | 2.98361 | + | 3.31363i | 0.226840 | + | 0.251931i | 0.845811 | − | 0.533483i | \(-0.179117\pi\) |
−0.618971 | + | 0.785413i | \(0.712450\pi\) | |||||||
\(174\) | −0.909994 | + | 1.01065i | −0.0689865 | + | 0.0766173i | ||||
\(175\) | −2.63819 | − | 25.1007i | −0.199429 | − | 1.89744i | ||||
\(176\) | 14.6240 | + | 3.10844i | 1.10233 | + | 0.234307i | ||||
\(177\) | −1.31898 | + | 0.587248i | −0.0991406 | + | 0.0441403i | ||||
\(178\) | 4.84172 | + | 3.51771i | 0.362902 | + | 0.263664i | ||||
\(179\) | −4.42059 | − | 1.96817i | −0.330410 | − | 0.147108i | 0.234826 | − | 0.972038i | \(-0.424548\pi\) |
−0.565236 | + | 0.824929i | \(0.691215\pi\) | |||||||
\(180\) | 1.26990 | + | 2.19953i | 0.0946526 | + | 0.163943i | ||||
\(181\) | −0.677370 | + | 1.17324i | −0.0503485 | + | 0.0872062i | −0.890101 | − | 0.455763i | \(-0.849367\pi\) |
0.839753 | + | 0.542969i | \(0.182700\pi\) | |||||||
\(182\) | 3.36784 | − | 2.44688i | 0.249641 | − | 0.181375i | ||||
\(183\) | 6.87834 | − | 1.46204i | 0.508462 | − | 0.108077i | ||||
\(184\) | 4.46085 | + | 13.7291i | 0.328858 | + | 1.01212i | ||||
\(185\) | −3.41297 | −0.250927 | ||||||||
\(186\) | 5.09685 | − | 4.08954i | 0.373719 | − | 0.299860i | ||||
\(187\) | −12.0194 | −0.878943 | ||||||||
\(188\) | −1.57616 | − | 4.85091i | −0.114953 | − | 0.353789i | ||||
\(189\) | −2.11984 | + | 0.450587i | −0.154196 | + | 0.0327754i | ||||
\(190\) | −2.38150 | + | 1.73026i | −0.172772 | + | 0.125527i | ||||
\(191\) | −1.83796 | + | 3.18343i | −0.132990 | + | 0.230345i | −0.924828 | − | 0.380386i | \(-0.875791\pi\) |
0.791838 | + | 0.610731i | \(0.209124\pi\) | |||||||
\(192\) | −4.34937 | − | 7.53332i | −0.313889 | − | 0.543671i | ||||
\(193\) | 2.92641 | + | 1.30292i | 0.210648 | + | 0.0937864i | 0.509348 | − | 0.860560i | \(-0.329887\pi\) |
−0.298701 | + | 0.954347i | \(0.596553\pi\) | |||||||
\(194\) | 4.76402 | + | 3.46126i | 0.342037 | + | 0.248504i | ||||
\(195\) | −6.10005 | + | 2.71592i | −0.436834 | + | 0.194491i | ||||
\(196\) | −1.40245 | − | 0.298100i | −0.100175 | − | 0.0212929i | ||||
\(197\) | −1.21355 | − | 11.5462i | −0.0864620 | − | 0.822631i | −0.948711 | − | 0.316146i | \(-0.897611\pi\) |
0.862249 | − | 0.506485i | \(-0.169056\pi\) | |||||||
\(198\) | 4.95947 | − | 5.50804i | 0.352454 | − | 0.391440i | ||||
\(199\) | −5.15164 | − | 5.72148i | −0.365190 | − | 0.405585i | 0.532345 | − | 0.846527i | \(-0.321311\pi\) |
−0.897535 | + | 0.440943i | \(0.854644\pi\) | |||||||
\(200\) | 3.74687 | − | 35.6491i | 0.264944 | − | 2.52077i | ||||
\(201\) | −2.67392 | + | 8.22947i | −0.188604 | + | 0.580462i | ||||
\(202\) | 3.36624 | − | 10.3602i | 0.236848 | − | 0.728943i | ||||
\(203\) | 0.262493 | − | 2.49745i | 0.0184234 | − | 0.175287i | ||||
\(204\) | 0.792790 | + | 0.880483i | 0.0555064 | + | 0.0616461i | ||||
\(205\) | 13.1908 | − | 14.6498i | 0.921284 | − | 1.02319i | ||||
\(206\) | 0.528870 | + | 5.03186i | 0.0368481 | + | 0.350586i | ||||
\(207\) | 4.58753 | + | 0.975109i | 0.318855 | + | 0.0677747i | ||||
\(208\) | 3.53968 | − | 1.57597i | 0.245433 | − | 0.109274i | ||||
\(209\) | −3.14075 | − | 2.28189i | −0.217250 | − | 0.157841i | ||||
\(210\) | 9.48042 | + | 4.22095i | 0.654211 | + | 0.291274i | ||||
\(211\) | 11.7626 | + | 20.3734i | 0.809771 | + | 1.40256i | 0.913023 | + | 0.407909i | \(0.133742\pi\) |
−0.103252 | + | 0.994655i | \(0.532925\pi\) | |||||||
\(212\) | −2.95715 | + | 5.12194i | −0.203098 | + | 0.351776i | ||||
\(213\) | 3.19161 | − | 2.31884i | 0.218685 | − | 0.158884i | ||||
\(214\) | −4.59814 | + | 0.977365i | −0.314322 | + | 0.0668113i | ||||
\(215\) | −5.18481 | − | 15.9572i | −0.353601 | − | 1.08827i | ||||
\(216\) | −3.07795 | −0.209428 | ||||||||
\(217\) | −3.17541 | + | 11.6412i | −0.215561 | + | 0.790253i | ||||
\(218\) | −11.7913 | −0.798608 | ||||||||
\(219\) | −1.48946 | − | 4.58407i | −0.100648 | − | 0.309763i | ||||
\(220\) | 15.6886 | − | 3.33471i | 1.05772 | − | 0.224826i | ||||
\(221\) | −2.52005 | + | 1.83093i | −0.169517 | + | 0.123161i | ||||
\(222\) | 0.490901 | − | 0.850265i | 0.0329471 | − | 0.0570660i | ||||
\(223\) | −12.2489 | − | 21.2156i | −0.820244 | − | 1.42070i | −0.905501 | − | 0.424345i | \(-0.860504\pi\) |
0.0852566 | − | 0.996359i | \(-0.472829\pi\) | |||||||
\(224\) | 6.68648 | + | 2.97701i | 0.446759 | + | 0.198910i | ||||
\(225\) | −9.42172 | − | 6.84528i | −0.628115 | − | 0.456352i | ||||
\(226\) | −12.7492 | + | 5.67632i | −0.848066 | + | 0.377583i | ||||
\(227\) | 20.1636 | + | 4.28590i | 1.33830 | + | 0.284465i | 0.820800 | − | 0.571216i | \(-0.193528\pi\) |
0.517503 | + | 0.855681i | \(0.326861\pi\) | |||||||
\(228\) | 0.0400015 | + | 0.380589i | 0.00264916 | + | 0.0252051i | ||||
\(229\) | −12.5097 | + | 13.8935i | −0.826666 | + | 0.918105i | −0.997743 | − | 0.0671524i | \(-0.978609\pi\) |
0.171077 | + | 0.985258i | \(0.445275\pi\) | |||||||
\(230\) | −15.0274 | − | 16.6896i | −0.990875 | − | 1.10048i | ||||
\(231\) | −1.43058 | + | 13.6111i | −0.0941256 | + | 0.895545i | ||||
\(232\) | 1.10212 | − | 3.39196i | 0.0723574 | − | 0.222693i | ||||
\(233\) | −7.25908 | + | 22.3411i | −0.475558 | + | 1.46362i | 0.369646 | + | 0.929173i | \(0.379479\pi\) |
−0.845204 | + | 0.534444i | \(0.820521\pi\) | |||||||
\(234\) | 0.200784 | − | 1.91033i | 0.0131257 | − | 0.124882i | ||||
\(235\) | 22.3685 | + | 24.8427i | 1.45916 | + | 1.62056i | ||||
\(236\) | 0.601402 | − | 0.667924i | 0.0391479 | − | 0.0434782i | ||||
\(237\) | −0.0545741 | − | 0.519238i | −0.00354497 | − | 0.0337281i | ||||
\(238\) | 4.73533 | + | 1.00653i | 0.306946 | + | 0.0652434i | ||||
\(239\) | 12.2657 | − | 5.46105i | 0.793403 | − | 0.353246i | 0.0303152 | − | 0.999540i | \(-0.490349\pi\) |
0.763088 | + | 0.646295i | \(0.223682\pi\) | |||||||
\(240\) | 7.81438 | + | 5.67748i | 0.504416 | + | 0.366480i | ||||
\(241\) | −9.35927 | − | 4.16701i | −0.602883 | − | 0.268421i | 0.0825144 | − | 0.996590i | \(-0.473705\pi\) |
−0.685398 | + | 0.728169i | \(0.740372\pi\) | |||||||
\(242\) | −16.9479 | − | 29.3547i | −1.08946 | − | 1.88699i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −3.54146 | + | 2.57302i | −0.226719 | + | 0.164721i | ||||
\(245\) | 9.19170 | − | 1.95376i | 0.587236 | − | 0.124821i | ||||
\(246\) | 1.75240 | + | 5.39333i | 0.111729 | + | 0.343866i | ||||
\(247\) | −1.00611 | −0.0640173 | ||||||||
\(248\) | −7.84875 | + | 15.2343i | −0.498396 | + | 0.967379i | ||||
\(249\) | 6.99578 | 0.443340 | ||||||||
\(250\) | 9.83407 | + | 30.2661i | 0.621961 | + | 1.91420i | ||||
\(251\) | 17.1089 | − | 3.63661i | 1.07990 | − | 0.229541i | 0.366588 | − | 0.930383i | \(-0.380526\pi\) |
0.713316 | + | 0.700843i | \(0.247193\pi\) | |||||||
\(252\) | 1.09145 | − | 0.792983i | 0.0687547 | − | 0.0499532i | ||||
\(253\) | 14.8089 | − | 25.6498i | 0.931029 | − | 1.61259i | ||||
\(254\) | −1.11389 | − | 1.92931i | −0.0698915 | − | 0.121056i | ||||
\(255\) | −7.09391 | − | 3.15841i | −0.444238 | − | 0.197787i | ||||
\(256\) | 10.7944 | + | 7.84261i | 0.674652 | + | 0.490163i | ||||
\(257\) | 2.32175 | − | 1.03371i | 0.144827 | − | 0.0644810i | −0.333043 | − | 0.942911i | \(-0.608076\pi\) |
0.477870 | + | 0.878430i | \(0.341409\pi\) | |||||||
\(258\) | 4.72113 | + | 1.00351i | 0.293925 | + | 0.0624756i | ||||
\(259\) | 0.189502 | + | 1.80299i | 0.0117751 | + | 0.112032i | ||||
\(260\) | 2.78138 | − | 3.08903i | 0.172494 | − | 0.191574i | ||||
\(261\) | −0.775344 | − | 0.861106i | −0.0479926 | − | 0.0533012i | ||||
\(262\) | −1.63941 | + | 15.5980i | −0.101283 | + | 0.963646i | ||||
\(263\) | 4.72208 | − | 14.5331i | 0.291176 | − | 0.896147i | −0.693304 | − | 0.720646i | \(-0.743845\pi\) |
0.984479 | − | 0.175501i | \(-0.0561545\pi\) | |||||||
\(264\) | −6.00653 | + | 18.4862i | −0.369676 | + | 1.13775i | ||||
\(265\) | 4.05179 | − | 38.5502i | 0.248899 | − | 2.36812i | ||||
\(266\) | 1.04629 | + | 1.16202i | 0.0641519 | + | 0.0712480i | ||||
\(267\) | −3.41200 | + | 3.78940i | −0.208811 | + | 0.231908i | ||||
\(268\) | −0.563048 | − | 5.35705i | −0.0343936 | − | 0.327234i | ||||
\(269\) | 14.4300 | + | 3.06720i | 0.879815 | + | 0.187010i | 0.625606 | − | 0.780139i | \(-0.284852\pi\) |
0.254209 | + | 0.967149i | \(0.418185\pi\) | |||||||
\(270\) | 4.37450 | − | 1.94765i | 0.266223 | − | 0.118530i | ||||
\(271\) | 4.09591 | + | 2.97585i | 0.248809 | + | 0.180770i | 0.705199 | − | 0.709010i | \(-0.250858\pi\) |
−0.456390 | + | 0.889780i | \(0.650858\pi\) | |||||||
\(272\) | 4.11638 | + | 1.83273i | 0.249592 | + | 0.111126i | ||||
\(273\) | 1.77345 | + | 3.07171i | 0.107334 | + | 0.185908i | ||||
\(274\) | −12.0386 | + | 20.8514i | −0.727277 | + | 1.25968i | ||||
\(275\) | −59.4990 | + | 43.2286i | −3.58793 | + | 2.60678i | ||||
\(276\) | −2.85577 | + | 0.607014i | −0.171897 | + | 0.0365379i | ||||
\(277\) | 4.19136 | + | 12.8997i | 0.251834 | + | 0.775066i | 0.994437 | + | 0.105334i | \(0.0335912\pi\) |
−0.742603 | + | 0.669732i | \(0.766409\pi\) | |||||||
\(278\) | 9.41498 | 0.564673 | ||||||||
\(279\) | 3.01139 | + | 4.68311i | 0.180287 | + | 0.280370i | ||||
\(280\) | −27.2154 | −1.62643 | ||||||||
\(281\) | −9.51390 | − | 29.2808i | −0.567552 | − | 1.74674i | −0.660245 | − | 0.751050i | \(-0.729548\pi\) |
0.0926937 | − | 0.995695i | \(-0.470452\pi\) | |||||||
\(282\) | −9.40634 | + | 1.99938i | −0.560139 | + | 0.119061i | ||||
\(283\) | −19.7183 | + | 14.3262i | −1.17213 | + | 0.851605i | −0.991263 | − | 0.131901i | \(-0.957892\pi\) |
−0.180871 | + | 0.983507i | \(0.557892\pi\) | |||||||
\(284\) | −1.22791 | + | 2.12681i | −0.0728632 | + | 0.126203i | ||||
\(285\) | −1.25406 | − | 2.17210i | −0.0742843 | − | 0.128664i | ||||
\(286\) | −11.0816 | − | 4.93387i | −0.655271 | − | 0.291746i | ||||
\(287\) | −8.47155 | − | 6.15494i | −0.500060 | − | 0.363315i | ||||
\(288\) | 3.08530 | − | 1.37367i | 0.181803 | − | 0.0809440i | ||||
\(289\) | 13.0852 | + | 2.78135i | 0.769718 | + | 0.163609i | ||||
\(290\) | 0.579984 | + | 5.51818i | 0.0340578 | + | 0.324039i | ||||
\(291\) | −3.35724 | + | 3.72859i | −0.196805 | + | 0.218574i | ||||
\(292\) | 2.00771 | + | 2.22979i | 0.117493 | + | 0.130489i | ||||
\(293\) | −1.69342 | + | 16.1119i | −0.0989309 | + | 0.941265i | 0.826650 | + | 0.562716i | \(0.190243\pi\) |
−0.925581 | + | 0.378549i | \(0.876423\pi\) | |||||||
\(294\) | −0.835343 | + | 2.57092i | −0.0487182 | + | 0.149939i | ||||
\(295\) | −1.82030 | + | 5.60232i | −0.105982 | + | 0.326180i | ||||
\(296\) | −0.269138 | + | 2.56068i | −0.0156433 | + | 0.148836i | ||||
\(297\) | 4.22562 | + | 4.69303i | 0.245195 | + | 0.272317i | ||||
\(298\) | 12.0694 | − | 13.4044i | 0.699160 | − | 0.776496i | ||||
\(299\) | −0.802340 | − | 7.63376i | −0.0464005 | − | 0.441472i | ||||
\(300\) | 7.09124 | + | 1.50729i | 0.409413 | + | 0.0870235i | ||||
\(301\) | −8.14192 | + | 3.62502i | −0.469293 | + | 0.208942i | ||||
\(302\) | 14.4397 | + | 10.4911i | 0.830913 | + | 0.603694i | ||||
\(303\) | 8.47908 | + | 3.77513i | 0.487111 | + | 0.216876i | ||||
\(304\) | 0.727695 | + | 1.26040i | 0.0417362 | + | 0.0722892i | ||||
\(305\) | 14.3451 | − | 24.8464i | 0.821396 | − | 1.42270i | ||||
\(306\) | 1.80719 | − | 1.31300i | 0.103310 | − | 0.0750593i | ||||
\(307\) | 15.2223 | − | 3.23561i | 0.868785 | − | 0.184666i | 0.248108 | − | 0.968732i | \(-0.420191\pi\) |
0.620677 | + | 0.784066i | \(0.286858\pi\) | |||||||
\(308\) | −2.63273 | − | 8.10272i | −0.150014 | − | 0.461695i | ||||
\(309\) | −4.31092 | −0.245240 | ||||||||
\(310\) | 1.51504 | − | 26.6181i | 0.0860488 | − | 1.51180i | ||||
\(311\) | 7.31140 | 0.414591 | 0.207296 | − | 0.978278i | \(-0.433534\pi\) | ||||
0.207296 | + | 0.978278i | \(0.433534\pi\) | |||||||
\(312\) | 1.55666 | + | 4.79091i | 0.0881285 | + | 0.271232i | ||||
\(313\) | −7.78598 | + | 1.65496i | −0.440090 | + | 0.0935440i | −0.422627 | − | 0.906304i | \(-0.638892\pi\) |
−0.0174624 | + | 0.999848i | \(0.505559\pi\) | |||||||
\(314\) | −11.2608 | + | 8.18148i | −0.635486 | + | 0.461708i | ||||
\(315\) | −4.42102 | + | 7.65744i | −0.249097 | + | 0.431448i | ||||
\(316\) | 0.162505 | + | 0.281467i | 0.00914164 | + | 0.0158338i | ||||
\(317\) | 28.8783 | + | 12.8574i | 1.62197 | + | 0.722146i | 0.998229 | − | 0.0594889i | \(-0.0189471\pi\) |
0.623737 | + | 0.781635i | \(0.285614\pi\) | |||||||
\(318\) | 9.02112 | + | 6.55423i | 0.505880 | + | 0.367543i | ||||
\(319\) | −6.68487 | + | 2.97630i | −0.374281 | + | 0.166641i | ||||
\(320\) | −34.7147 | − | 7.37885i | −1.94061 | − | 0.412490i | ||||
\(321\) | −0.418666 | − | 3.98334i | −0.0233677 | − | 0.222328i | ||||
\(322\) | −7.98231 | + | 8.86526i | −0.444837 | + | 0.494042i | ||||
\(323\) | −0.782904 | − | 0.869503i | −0.0435620 | − | 0.0483805i | ||||
\(324\) | 0.0650699 | − | 0.619099i | 0.00361499 | − | 0.0343944i | ||||
\(325\) | −5.88986 | + | 18.1271i | −0.326711 | + | 1.00551i | ||||
\(326\) | 5.02463 | − | 15.4642i | 0.278289 | − | 0.856485i | ||||
\(327\) | 1.05015 | − | 9.99153i | 0.0580735 | − | 0.552533i | ||||
\(328\) | −9.95126 | − | 11.0520i | −0.549467 | − | 0.610244i | ||||
\(329\) | 11.8818 | − | 13.1961i | 0.655065 | − | 0.727523i | ||||
\(330\) | −3.16091 | − | 30.0740i | −0.174002 | − | 1.65552i | ||||
\(331\) | 10.5505 | + | 2.24258i | 0.579908 | + | 0.123263i | 0.488521 | − | 0.872552i | \(-0.337537\pi\) |
0.0913871 | + | 0.995815i | \(0.470870\pi\) | |||||||
\(332\) | −3.97843 | + | 1.77131i | −0.218345 | + | 0.0972134i | ||||
\(333\) | 0.676763 | + | 0.491697i | 0.0370864 | + | 0.0269449i | ||||
\(334\) | −14.4535 | − | 6.43512i | −0.790861 | − | 0.352114i | ||||
\(335\) | 17.6518 | + | 30.5738i | 0.964421 | + | 1.67043i | ||||
\(336\) | 2.56539 | − | 4.44338i | 0.139953 | − | 0.242406i | ||||
\(337\) | −0.322529 | + | 0.234331i | −0.0175693 | + | 0.0127648i | −0.596535 | − | 0.802587i | \(-0.703456\pi\) |
0.578966 | + | 0.815352i | \(0.303456\pi\) | |||||||
\(338\) | 11.8492 | − | 2.51863i | 0.644512 | − | 0.136995i | ||||
\(339\) | −3.67445 | − | 11.3088i | −0.199568 | − | 0.614209i | ||||
\(340\) | 4.83394 | 0.262157 | ||||||||
\(341\) | 34.0034 | − | 8.94751i | 1.84139 | − | 0.484535i | ||||
\(342\) | 0.721507 | 0.0390146 | ||||||||
\(343\) | −6.23040 | − | 19.1752i | −0.336410 | − | 1.03536i | ||||
\(344\) | −12.3812 | + | 2.63171i | −0.667550 | + | 0.141892i | ||||
\(345\) | 15.4805 | − | 11.2472i | 0.833442 | − | 0.605531i | ||||
\(346\) | −2.61665 | + | 4.53217i | −0.140672 | + | 0.243651i | ||||
\(347\) | −1.34355 | − | 2.32709i | −0.0721255 | − | 0.124925i | 0.827707 | − | 0.561160i | \(-0.189645\pi\) |
−0.899833 | + | 0.436235i | \(0.856312\pi\) | |||||||
\(348\) | 0.658960 | + | 0.293388i | 0.0353240 | + | 0.0157272i | ||||
\(349\) | 16.3542 | + | 11.8820i | 0.875421 | + | 0.636031i | 0.932036 | − | 0.362365i | \(-0.118031\pi\) |
−0.0566151 | + | 0.998396i | \(0.518031\pi\) | |||||||
\(350\) | 27.0612 | − | 12.0484i | 1.44648 | − | 0.644015i | ||||
\(351\) | 1.60086 | + | 0.340274i | 0.0854478 | + | 0.0181625i | ||||
\(352\) | −2.22937 | − | 21.2110i | −0.118826 | − | 1.13055i | ||||
\(353\) | −15.9247 | + | 17.6862i | −0.847587 | + | 0.941341i | −0.998888 | − | 0.0471468i | \(-0.984987\pi\) |
0.151301 | + | 0.988488i | \(0.451654\pi\) | |||||||
\(354\) | −1.13387 | − | 1.25929i | −0.0602645 | − | 0.0669306i | ||||
\(355\) | 1.68244 | − | 16.0074i | 0.0892947 | − | 0.849582i | ||||
\(356\) | 0.980901 | − | 3.01890i | 0.0519877 | − | 0.160002i | ||||
\(357\) | −1.27463 | + | 3.92290i | −0.0674605 | + | 0.207622i | ||||
\(358\) | 0.593647 | − | 5.64818i | 0.0313752 | − | 0.298515i | ||||
\(359\) | −9.43388 | − | 10.4774i | −0.497901 | − | 0.552975i | 0.440846 | − | 0.897583i | \(-0.354679\pi\) |
−0.938747 | + | 0.344608i | \(0.888012\pi\) | |||||||
\(360\) | −8.40283 | + | 9.33229i | −0.442868 | + | 0.491855i | ||||
\(361\) | 1.94654 | + | 18.5201i | 0.102449 | + | 0.974741i | ||||
\(362\) | −1.55527 | − | 0.330582i | −0.0817430 | − | 0.0173750i | ||||
\(363\) | 26.3835 | − | 11.7467i | 1.38478 | − | 0.616542i | ||||
\(364\) | −1.78629 | − | 1.29782i | −0.0936272 | − | 0.0680241i | ||||
\(365\) | −17.9651 | − | 7.99857i | −0.940335 | − | 0.418664i | ||||
\(366\) | 4.12661 | + | 7.14750i | 0.215701 | + | 0.373606i | ||||
\(367\) | −16.8113 | + | 29.1179i | −0.877540 | + | 1.51994i | −0.0235084 | + | 0.999724i | \(0.507484\pi\) |
−0.854032 | + | 0.520221i | \(0.825850\pi\) | |||||||
\(368\) | −8.98287 | + | 6.52644i | −0.468265 | + | 0.340214i | ||||
\(369\) | −4.72618 | + | 1.00458i | −0.246035 | + | 0.0522964i | ||||
\(370\) | −1.23783 | − | 3.80964i | −0.0643515 | − | 0.198054i | ||||
\(371\) | −20.5901 | −1.06898 | ||||||||
\(372\) | −2.89830 | − | 1.90076i | −0.150270 | − | 0.0985499i | ||||
\(373\) | −0.511040 | −0.0264607 | −0.0132303 | − | 0.999912i | \(-0.504211\pi\) | ||||
−0.0132303 | + | 0.999912i | \(0.504211\pi\) | |||||||
\(374\) | −4.35922 | − | 13.4163i | −0.225410 | − | 0.693740i | ||||
\(375\) | −26.5223 | + | 5.63748i | −1.36960 | + | 0.291118i | ||||
\(376\) | 20.4028 | − | 14.8235i | 1.05220 | − | 0.764465i | ||||
\(377\) | −0.948208 | + | 1.64234i | −0.0488352 | + | 0.0845850i | ||||
\(378\) | −1.27179 | − | 2.20280i | −0.0654136 | − | 0.113300i | ||||
\(379\) | −19.1777 | − | 8.53848i | −0.985095 | − | 0.438592i | −0.149992 | − | 0.988687i | \(-0.547925\pi\) |
−0.835102 | + | 0.550095i | \(0.814592\pi\) | |||||||
\(380\) | 1.26314 | + | 0.917727i | 0.0647979 | + | 0.0470784i | ||||
\(381\) | 1.73403 | − | 0.772041i | 0.0888371 | − | 0.0395528i | ||||
\(382\) | −4.22001 | − | 0.896992i | −0.215915 | − | 0.0458941i | ||||
\(383\) | 0.227051 | + | 2.16025i | 0.0116018 | + | 0.110383i | 0.998790 | − | 0.0491757i | \(-0.0156594\pi\) |
−0.987188 | + | 0.159559i | \(0.948993\pi\) | |||||||
\(384\) | 2.31174 | − | 2.56744i | 0.117970 | − | 0.131019i | ||||
\(385\) | 37.3631 | + | 41.4960i | 1.90420 | + | 2.11483i | ||||
\(386\) | −0.392992 | + | 3.73907i | −0.0200028 | + | 0.190314i | ||||
\(387\) | −1.27081 | + | 3.91114i | −0.0645987 | + | 0.198815i | ||||
\(388\) | 0.965161 | − | 2.97046i | 0.0489986 | − | 0.150802i | ||||
\(389\) | −3.95570 | + | 37.6360i | −0.200562 | + | 1.90822i | 0.180337 | + | 0.983605i | \(0.442281\pi\) |
−0.380899 | + | 0.924617i | \(0.624385\pi\) | |||||||
\(390\) | −5.24395 | − | 5.82400i | −0.265538 | − | 0.294910i | ||||
\(391\) | 5.97292 | − | 6.63360i | 0.302064 | − | 0.335476i | ||||
\(392\) | −0.741027 | − | 7.05040i | −0.0374275 | − | 0.356099i | ||||
\(393\) | −13.0712 | − | 2.77836i | −0.659353 | − | 0.140150i | ||||
\(394\) | 12.4480 | − | 5.54219i | 0.627120 | − | 0.279212i | ||||
\(395\) | −1.72331 | − | 1.25206i | −0.0867091 | − | 0.0629978i | ||||
\(396\) | −3.59133 | − | 1.59896i | −0.180471 | − | 0.0803509i | ||||
\(397\) | −16.1115 | − | 27.9060i | −0.808615 | − | 1.40056i | −0.913824 | − | 0.406112i | \(-0.866884\pi\) |
0.105209 | − | 0.994450i | \(-0.466449\pi\) | |||||||
\(398\) | 4.51803 | − | 7.82546i | 0.226468 | − | 0.392255i | ||||
\(399\) | −1.07784 | + | 0.783094i | −0.0539593 | + | 0.0392037i | ||||
\(400\) | 26.9687 | − | 5.73238i | 1.34844 | − | 0.286619i | ||||
\(401\) | 4.32570 | + | 13.3131i | 0.216015 | + | 0.664827i | 0.999080 | + | 0.0428864i | \(0.0136553\pi\) |
−0.783065 | + | 0.621940i | \(0.786345\pi\) | |||||||
\(402\) | −10.1557 | −0.506520 | ||||||||
\(403\) | 5.76638 | − | 7.05578i | 0.287244 | − | 0.351473i | ||||
\(404\) | −5.77782 | −0.287457 | ||||||||
\(405\) | 1.26077 | + | 3.88025i | 0.0626482 | + | 0.192811i | ||||
\(406\) | 2.88291 | − | 0.612782i | 0.143077 | − | 0.0304119i | ||||
\(407\) | 4.27382 | − | 3.10511i | 0.211845 | − | 0.153915i | ||||
\(408\) | −2.92909 | + | 5.07334i | −0.145012 | + | 0.251168i | ||||
\(409\) | −17.0590 | − | 29.5471i | −0.843515 | − | 1.46101i | −0.886904 | − | 0.461953i | \(-0.847149\pi\) |
0.0433888 | − | 0.999058i | \(-0.486185\pi\) | |||||||
\(410\) | 21.1365 | + | 9.41060i | 1.04386 | + | 0.464756i | ||||
\(411\) | −16.5966 | − | 12.0581i | −0.818649 | − | 0.594783i | ||||
\(412\) | 2.45158 | − | 1.09151i | 0.120781 | − | 0.0537750i | ||||
\(413\) | 3.06064 | + | 0.650559i | 0.150604 | + | 0.0320119i | ||||
\(414\) | 0.575378 | + | 5.47435i | 0.0282783 | + | 0.269050i | ||||
\(415\) | 19.0986 | − | 21.2111i | 0.937511 | − | 1.04121i | ||||
\(416\) | −3.69853 | − | 4.10763i | −0.181335 | − | 0.201393i | ||||
\(417\) | −0.838512 | + | 7.97791i | −0.0410621 | + | 0.390680i | ||||
\(418\) | 1.40800 | − | 4.33337i | 0.0688675 | − | 0.211952i | ||||
\(419\) | 1.05723 | − | 3.25383i | 0.0516492 | − | 0.158960i | −0.921905 | − | 0.387416i | \(-0.873368\pi\) |
0.973554 | + | 0.228456i | \(0.0733677\pi\) | |||||||
\(420\) | 0.575351 | − | 5.47410i | 0.0280743 | − | 0.267109i | ||||
\(421\) | 4.95175 | + | 5.49948i | 0.241334 | + | 0.268028i | 0.851628 | − | 0.524146i | \(-0.175616\pi\) |
−0.610294 | + | 0.792175i | \(0.708949\pi\) | |||||||
\(422\) | −18.4752 | + | 20.5188i | −0.899357 | + | 0.998838i | ||||
\(423\) | −0.856458 | − | 8.14866i | −0.0416424 | − | 0.396201i | ||||
\(424\) | −28.6038 | − | 6.07993i | −1.38913 | − | 0.295268i | ||||
\(425\) | −20.2491 | + | 9.01546i | −0.982223 | + | 0.437314i | ||||
\(426\) | 3.74588 | + | 2.72154i | 0.181488 | + | 0.131859i | ||||
\(427\) | −13.9222 | − | 6.19858i | −0.673744 | − | 0.299970i | ||||
\(428\) | 1.24666 | + | 2.15928i | 0.0602597 | + | 0.104373i | ||||
\(429\) | 5.16773 | − | 8.95077i | 0.249500 | − | 0.432147i | ||||
\(430\) | 15.9314 | − | 11.5748i | 0.768278 | − | 0.558187i | ||||
\(431\) | −3.09123 | + | 0.657062i | −0.148900 | + | 0.0316496i | −0.281758 | − | 0.959485i | \(-0.590918\pi\) |
0.132859 | + | 0.991135i | \(0.457584\pi\) | |||||||
\(432\) | −0.731587 | − | 2.25159i | −0.0351985 | − | 0.108330i | ||||
\(433\) | −10.9053 | −0.524074 | −0.262037 | − | 0.965058i | \(-0.584394\pi\) | ||||
−0.262037 | + | 0.965058i | \(0.584394\pi\) | |||||||
\(434\) | −14.1458 | + | 0.677580i | −0.679019 | + | 0.0325249i | ||||
\(435\) | −4.72756 | −0.226669 | ||||||||
\(436\) | 1.93262 | + | 5.94798i | 0.0925555 | + | 0.284857i | ||||
\(437\) | 2.82016 | − | 0.599444i | 0.134907 | − | 0.0286753i | ||||
\(438\) | 4.57665 | − | 3.32513i | 0.218681 | − | 0.158881i | ||||
\(439\) | 14.7205 | − | 25.4967i | 0.702573 | − | 1.21689i | −0.264988 | − | 0.964252i | \(-0.585368\pi\) |
0.967560 | − | 0.252640i | \(-0.0812988\pi\) | |||||||
\(440\) | 39.6519 | + | 68.6792i | 1.89033 | + | 3.27415i | ||||
\(441\) | −2.10411 | − | 0.936810i | −0.100196 | − | 0.0446100i | ||||
\(442\) | −2.95770 | − | 2.14889i | −0.140683 | − | 0.102212i | ||||
\(443\) | −11.5653 | + | 5.14918i | −0.549482 | + | 0.244645i | −0.662648 | − | 0.748931i | \(-0.730567\pi\) |
0.113166 | + | 0.993576i | \(0.463901\pi\) | |||||||
\(444\) | −0.509365 | − | 0.108269i | −0.0241734 | − | 0.00513821i | ||||
\(445\) | 2.17463 | + | 20.6902i | 0.103087 | + | 0.980811i | ||||
\(446\) | 19.2389 | − | 21.3670i | 0.910989 | − | 1.01176i | ||||
\(447\) | 10.2835 | + | 11.4210i | 0.486392 | + | 0.540193i | ||||
\(448\) | −1.97056 | + | 18.7486i | −0.0931003 | + | 0.885790i | ||||
\(449\) | −8.39097 | + | 25.8248i | −0.395994 | + | 1.21875i | 0.532190 | + | 0.846625i | \(0.321369\pi\) |
−0.928184 | + | 0.372121i | \(0.878631\pi\) | |||||||
\(450\) | 4.22376 | − | 12.9994i | 0.199110 | − | 0.612798i | ||||
\(451\) | −3.18948 | + | 30.3459i | −0.150187 | + | 1.42893i | ||||
\(452\) | 4.95297 | + | 5.50083i | 0.232968 | + | 0.258737i | ||||
\(453\) | −10.1758 | + | 11.3014i | −0.478100 | + | 0.530984i | ||||
\(454\) | 2.52896 | + | 24.0615i | 0.118690 | + | 1.12926i | ||||
\(455\) | 14.1549 | + | 3.00872i | 0.663593 | + | 0.141051i | ||||
\(456\) | −1.72857 | + | 0.769610i | −0.0809478 | + | 0.0360403i | ||||
\(457\) | −10.0094 | − | 7.27226i | −0.468220 | − | 0.340182i | 0.328527 | − | 0.944495i | \(-0.393448\pi\) |
−0.796747 | + | 0.604313i | \(0.793448\pi\) | |||||||
\(458\) | −20.0452 | − | 8.92472i | −0.936653 | − | 0.417025i | ||||
\(459\) | 0.951638 | + | 1.64829i | 0.0444187 | + | 0.0769354i | ||||
\(460\) | −5.95584 | + | 10.3158i | −0.277692 | + | 0.480977i | ||||
\(461\) | 30.2111 | − | 21.9497i | 1.40707 | − | 1.02230i | 0.413332 | − | 0.910581i | \(-0.364365\pi\) |
0.993740 | − | 0.111717i | \(-0.0356350\pi\) | |||||||
\(462\) | −15.7119 | + | 3.33966i | −0.730982 | + | 0.155375i | ||||
\(463\) | 8.64949 | + | 26.6204i | 0.401976 | + | 1.23715i | 0.923394 | + | 0.383853i | \(0.125403\pi\) |
−0.521418 | + | 0.853301i | \(0.674597\pi\) | |||||||
\(464\) | 2.74326 | 0.127353 | ||||||||
\(465\) | 22.4202 | + | 3.65444i | 1.03971 | + | 0.169471i | ||||
\(466\) | −27.5704 | −1.27718 | ||||||||
\(467\) | −9.90232 | − | 30.4762i | −0.458225 | − | 1.41027i | −0.867307 | − | 0.497773i | \(-0.834151\pi\) |
0.409083 | − | 0.912497i | \(-0.365849\pi\) | |||||||
\(468\) | −0.996552 | + | 0.211824i | −0.0460656 | + | 0.00979155i | ||||
\(469\) | 15.1713 | − | 11.0226i | 0.700545 | − | 0.508976i | ||||
\(470\) | −19.6173 | + | 33.9782i | −0.904879 | + | 1.56730i | ||||
\(471\) | −5.92978 | − | 10.2707i | −0.273230 | − | 0.473248i | ||||
\(472\) | 4.05975 | + | 1.80752i | 0.186865 | + | 0.0831978i | ||||
\(473\) | 21.0104 | + | 15.2650i | 0.966059 | + | 0.701883i | ||||
\(474\) | 0.559792 | − | 0.249235i | 0.0257121 | − | 0.0114478i | ||||
\(475\) | −7.00282 | − | 1.48849i | −0.321311 | − | 0.0682968i | ||||
\(476\) | −0.268399 | − | 2.55365i | −0.0123021 | − | 0.117046i | ||||
\(477\) | −6.35725 | + | 7.06044i | −0.291079 | + | 0.323276i | ||||
\(478\) | 10.5443 | + | 11.7106i | 0.482285 | + | 0.535632i | ||||
\(479\) | 0.291342 | − | 2.77194i | 0.0133118 | − | 0.126653i | −0.985848 | − | 0.167643i | \(-0.946384\pi\) |
0.999160 | + | 0.0409898i | \(0.0130511\pi\) | |||||||
\(480\) | 4.25798 | − | 13.1047i | 0.194349 | − | 0.598146i | ||||
\(481\) | 0.423069 | − | 1.30207i | 0.0192903 | − | 0.0593695i | ||||
\(482\) | 1.25687 | − | 11.9583i | 0.0572489 | − | 0.544687i | ||||
\(483\) | −6.80118 | − | 7.55348i | −0.309465 | − | 0.343695i | ||||
\(484\) | −12.0298 | + | 13.3605i | −0.546810 | + | 0.607294i | ||||
\(485\) | 2.13973 | + | 20.3582i | 0.0971603 | + | 0.924419i | ||||
\(486\) | −1.14802 | − | 0.244019i | −0.0520752 | − | 0.0110689i | ||||
\(487\) | 4.44109 | − | 1.97730i | 0.201245 | − | 0.0896001i | −0.303639 | − | 0.952787i | \(-0.598202\pi\) |
0.504884 | + | 0.863187i | \(0.331535\pi\) | |||||||
\(488\) | −17.5105 | − | 12.7221i | −0.792663 | − | 0.575903i | ||||
\(489\) | 12.6563 | + | 5.63496i | 0.572339 | + | 0.254822i | ||||
\(490\) | 5.51450 | + | 9.55139i | 0.249120 | + | 0.431488i | ||||
\(491\) | 15.7163 | − | 27.2214i | 0.709265 | − | 1.22848i | −0.255865 | − | 0.966713i | \(-0.582360\pi\) |
0.965130 | − | 0.261771i | \(-0.0843065\pi\) | |||||||
\(492\) | 2.43338 | − | 1.76795i | 0.109705 | − | 0.0797054i | ||||
\(493\) | −2.15720 | + | 0.458526i | −0.0971553 | + | 0.0206510i | ||||
\(494\) | −0.364899 | − | 1.12304i | −0.0164176 | − | 0.0505281i | ||||
\(495\) | 25.7652 | 1.15806 | ||||||||
\(496\) | −13.0098 | − | 2.12056i | −0.584157 | − | 0.0952160i | ||||
\(497\) | −8.54971 | −0.383507 | ||||||||
\(498\) | 2.53725 | + | 7.80885i | 0.113697 | + | 0.349923i | ||||
\(499\) | 11.1868 | − | 2.37783i | 0.500791 | − | 0.106446i | 0.0494116 | − | 0.998778i | \(-0.484265\pi\) |
0.451380 | + | 0.892332i | \(0.350932\pi\) | |||||||
\(500\) | 13.6556 | − | 9.92135i | 0.610695 | − | 0.443696i | ||||
\(501\) | 6.74014 | − | 11.6743i | 0.301127 | − | 0.521567i | ||||
\(502\) | 10.2644 | + | 17.7784i | 0.458121 | + | 0.793489i | ||||
\(503\) | −38.1453 | − | 16.9834i | −1.70082 | − | 0.757252i | −0.998991 | − | 0.0449025i | \(-0.985702\pi\) |
−0.701825 | − | 0.712350i | \(-0.747631\pi\) | |||||||
\(504\) | 5.39658 | + | 3.92084i | 0.240383 | + | 0.174648i | ||||
\(505\) | 34.5941 | − | 15.4023i | 1.53942 | − | 0.685393i | ||||
\(506\) | 34.0018 | + | 7.22731i | 1.51157 | + | 0.321293i | ||||
\(507\) | 1.07889 | + | 10.2649i | 0.0479150 | + | 0.455880i | ||||
\(508\) | −0.790648 | + | 0.878104i | −0.0350793 | + | 0.0389595i | ||||
\(509\) | −17.9150 | − | 19.8966i | −0.794068 | − | 0.881902i | 0.201152 | − | 0.979560i | \(-0.435532\pi\) |
−0.995220 | + | 0.0976578i | \(0.968865\pi\) | |||||||
\(510\) | 0.952652 | − | 9.06388i | 0.0421842 | − | 0.401355i | ||||
\(511\) | −3.22795 | + | 9.93462i | −0.142796 | + | 0.439482i | ||||
\(512\) | −6.97435 | + | 21.4648i | −0.308226 | + | 0.948621i | ||||
\(513\) | −0.0642585 | + | 0.611379i | −0.00283708 | + | 0.0269930i | ||||
\(514\) | 1.99591 | + | 2.21668i | 0.0880357 | + | 0.0977735i | ||||
\(515\) | −11.7689 | + | 13.0706i | −0.518598 | + | 0.575961i | ||||
\(516\) | −0.267595 | − | 2.54599i | −0.0117802 | − | 0.112081i | ||||
\(517\) | −50.6123 | − | 10.7580i | −2.22592 | − | 0.473135i | ||||
\(518\) | −1.94381 | + | 0.865439i | −0.0854060 | + | 0.0380252i | ||||
\(519\) | −3.60735 | − | 2.62089i | −0.158345 | − | 0.115045i | ||||
\(520\) | 18.7757 | + | 8.35946i | 0.823367 | + | 0.366587i | ||||
\(521\) | −2.93514 | − | 5.08382i | −0.128591 | − | 0.222726i | 0.794540 | − | 0.607212i | \(-0.207712\pi\) |
−0.923131 | + | 0.384486i | \(0.874379\pi\) | |||||||
\(522\) | 0.679983 | − | 1.17776i | 0.0297620 | − | 0.0515494i | ||||
\(523\) | −20.4541 | + | 14.8608i | −0.894397 | + | 0.649818i | −0.937021 | − | 0.349274i | \(-0.886428\pi\) |
0.0426236 | + | 0.999091i | \(0.486428\pi\) | |||||||
\(524\) | 8.13691 | − | 1.72955i | 0.355463 | − | 0.0755559i | ||||
\(525\) | 7.79928 | + | 24.0037i | 0.340388 | + | 1.04761i | ||||
\(526\) | 17.9347 | 0.781992 | ||||||||
\(527\) | 10.5849 | − | 0.507012i | 0.461084 | − | 0.0220858i | ||||
\(528\) | −14.9508 | −0.650648 | ||||||||
\(529\) | −0.310184 | − | 0.954649i | −0.0134863 | − | 0.0415065i | ||||
\(530\) | 44.5001 | − | 9.45879i | 1.93296 | − | 0.410863i | ||||
\(531\) | 1.16806 | − | 0.848647i | 0.0506896 | − | 0.0368281i | ||||
\(532\) | 0.414678 | − | 0.718243i | 0.0179786 | − | 0.0311398i | ||||
\(533\) | 3.95390 | + | 6.84836i | 0.171263 | + | 0.296635i | ||||
\(534\) | −5.46729 | − | 2.43419i | −0.236593 | − | 0.105338i | ||||
\(535\) | −13.2204 | − | 9.60518i | −0.571567 | − | 0.415268i | ||||
\(536\) | 24.3308 | − | 10.8328i | 1.05093 | − | 0.467905i | ||||
\(537\) | 4.73319 | + | 1.00607i | 0.204252 | + | 0.0434152i | ||||
\(538\) | 1.80985 | + | 17.2196i | 0.0780281 | + | 0.742388i | ||||
\(539\) | −9.73259 | + | 10.8091i | −0.419212 | + | 0.465582i | ||||
\(540\) | −1.69946 | − | 1.88744i | −0.0731329 | − | 0.0812223i | ||||
\(541\) | 3.91912 | − | 37.2879i | 0.168496 | − | 1.60313i | −0.504450 | − | 0.863441i | \(-0.668305\pi\) |
0.672946 | − | 0.739692i | \(-0.265029\pi\) | |||||||
\(542\) | −1.83620 | + | 5.65124i | −0.0788715 | + | 0.242742i | ||||
\(543\) | 0.418638 | − | 1.28843i | 0.0179655 | − | 0.0552920i | ||||
\(544\) | 0.671899 | − | 6.39269i | 0.0288074 | − | 0.274085i | ||||
\(545\) | −27.4272 | − | 30.4610i | −1.17485 | − | 1.30481i | ||||
\(546\) | −2.78551 | + | 3.09362i | −0.119209 | + | 0.132395i | ||||
\(547\) | 0.315074 | + | 2.99773i | 0.0134716 | + | 0.128174i | 0.999191 | − | 0.0402244i | \(-0.0128073\pi\) |
−0.985719 | + | 0.168398i | \(0.946141\pi\) | |||||||
\(548\) | 12.4914 | + | 2.65513i | 0.533606 | + | 0.113421i | ||||
\(549\) | −6.42406 | + | 2.86017i | −0.274172 | + | 0.122069i | ||||
\(550\) | −69.8320 | − | 50.7359i | −2.97764 | − | 2.16339i | ||||
\(551\) | −0.650743 | − | 0.289729i | −0.0277226 | − | 0.0123429i | ||||
\(552\) | −7.21781 | − | 12.5016i | −0.307210 | − | 0.532104i | ||||
\(553\) | −0.565746 | + | 0.979901i | −0.0240580 | + | 0.0416696i | ||||
\(554\) | −12.8788 | + | 9.35698i | −0.547167 | + | 0.397540i | ||||
\(555\) | 3.33839 | − | 0.709597i | 0.141707 | − | 0.0301207i | ||||
\(556\) | −1.54313 | − | 4.74927i | −0.0654433 | − | 0.201414i | ||||
\(557\) | −6.64939 | −0.281744 | −0.140872 | − | 0.990028i | \(-0.544991\pi\) | ||||
−0.140872 | + | 0.990028i | \(0.544991\pi\) | |||||||
\(558\) | −4.13521 | + | 5.05987i | −0.175057 | + | 0.214201i | ||||
\(559\) | 6.73050 | 0.284670 | ||||||||
\(560\) | −6.46873 | − | 19.9087i | −0.273354 | − | 0.841296i | ||||
\(561\) | 11.7567 | − | 2.49897i | 0.496369 | − | 0.105506i | ||||
\(562\) | 29.2333 | − | 21.2393i | 1.23313 | − | 0.895924i | ||||
\(563\) | 3.96138 | − | 6.86132i | 0.166952 | − | 0.289170i | −0.770395 | − | 0.637567i | \(-0.779941\pi\) |
0.937347 | + | 0.348397i | \(0.113274\pi\) | |||||||
\(564\) | 2.55028 | + | 4.41721i | 0.107386 | + | 0.185998i | ||||
\(565\) | −44.3193 | − | 19.7322i | −1.86453 | − | 0.830141i | ||||
\(566\) | −23.1427 | − | 16.8142i | −0.972762 | − | 0.706753i | ||||
\(567\) | 1.97984 | − | 0.881481i | 0.0831454 | − | 0.0370187i | ||||
\(568\) | −11.8773 | − | 2.52460i | −0.498360 | − | 0.105930i | ||||
\(569\) | 2.07339 | + | 19.7270i | 0.0869212 | + | 0.827000i | 0.947945 | + | 0.318435i | \(0.103157\pi\) |
−0.861024 | + | 0.508565i | \(0.830176\pi\) | |||||||
\(570\) | 1.96972 | − | 2.18760i | 0.0825025 | − | 0.0916283i | ||||
\(571\) | −18.9332 | − | 21.0275i | −0.792331 | − | 0.879973i | 0.202730 | − | 0.979235i | \(-0.435018\pi\) |
−0.995061 | + | 0.0992620i | \(0.968352\pi\) | |||||||
\(572\) | −0.672527 | + | 6.39867i | −0.0281198 | + | 0.267542i | ||||
\(573\) | 1.13592 | − | 3.49600i | 0.0474537 | − | 0.146047i | ||||
\(574\) | 3.79780 | − | 11.6884i | 0.158517 | − | 0.487866i | ||||
\(575\) | 5.70928 | − | 54.3202i | 0.238093 | − | 2.26531i | ||||
\(576\) | 5.82059 | + | 6.46442i | 0.242525 | + | 0.269351i | ||||
\(577\) | −8.83262 | + | 9.80962i | −0.367707 | + | 0.408380i | −0.898396 | − | 0.439187i | \(-0.855267\pi\) |
0.530689 | + | 0.847567i | \(0.321933\pi\) | |||||||
\(578\) | 1.64118 | + | 15.6147i | 0.0682639 | + | 0.649488i | ||||
\(579\) | −3.13335 | − | 0.666015i | −0.130218 | − | 0.0276786i | ||||
\(580\) | 2.68852 | − | 1.19700i | 0.111635 | − | 0.0497029i | ||||
\(581\) | −12.2657 | − | 8.91157i | −0.508868 | − | 0.369714i | ||||
\(582\) | −5.37955 | − | 2.39513i | −0.222990 | − | 0.0992814i | ||||
\(583\) | 29.9991 | + | 51.9600i | 1.24244 | + | 2.15196i | ||||
\(584\) | −7.41783 | + | 12.8481i | −0.306952 | + | 0.531656i | ||||
\(585\) | 5.40208 | − | 3.92484i | 0.223349 | − | 0.162272i | ||||
\(586\) | −18.5986 | + | 3.95325i | −0.768301 | + | 0.163307i | ||||
\(587\) | 1.86720 | + | 5.74664i | 0.0770675 | + | 0.237189i | 0.982167 | − | 0.188010i | \(-0.0602038\pi\) |
−0.905100 | + | 0.425200i | \(0.860204\pi\) | |||||||
\(588\) | 1.43378 | 0.0591282 | ||||||||
\(589\) | 2.86216 | + | 1.87706i | 0.117933 | + | 0.0773429i | ||||
\(590\) | −6.91363 | −0.284630 | ||||||||
\(591\) | 3.58762 | + | 11.0416i | 0.147575 | + | 0.454189i | ||||
\(592\) | −1.93717 | + | 0.411758i | −0.0796171 | + | 0.0169231i | ||||
\(593\) | −19.1031 | + | 13.8792i | −0.784469 | + | 0.569950i | −0.906317 | − | 0.422599i | \(-0.861118\pi\) |
0.121848 | + | 0.992549i | \(0.461118\pi\) | |||||||
\(594\) | −3.70590 | + | 6.41881i | −0.152055 | + | 0.263367i | ||||
\(595\) | 8.41443 | + | 14.5742i | 0.344958 | + | 0.597485i | ||||
\(596\) | −8.73987 | − | 3.89124i | −0.357999 | − | 0.159392i | ||||
\(597\) | 6.22863 | + | 4.52536i | 0.254921 | + | 0.185211i | ||||
\(598\) | 8.22998 | − | 3.66422i | 0.336549 | − | 0.149841i | ||||
\(599\) | 30.7108 | + | 6.52778i | 1.25481 | + | 0.266718i | 0.786912 | − | 0.617065i | \(-0.211678\pi\) |
0.467897 | + | 0.883783i | \(0.345012\pi\) | |||||||
\(600\) | 3.74687 | + | 35.6491i | 0.152965 | + | 1.45537i | ||||
\(601\) | 30.7772 | − | 34.1816i | 1.25543 | − | 1.39429i | 0.370324 | − | 0.928903i | \(-0.379247\pi\) |
0.885105 | − | 0.465392i | \(-0.154087\pi\) | |||||||
\(602\) | −6.99926 | − | 7.77346i | −0.285268 | − | 0.316823i | ||||
\(603\) | 0.904482 | − | 8.60558i | 0.0368334 | − | 0.350446i | ||||
\(604\) | 2.92540 | − | 9.00345i | 0.119033 | − | 0.366345i | ||||
\(605\) | 36.4115 | − | 112.063i | 1.48034 | − | 4.55601i | ||||
\(606\) | −1.13867 | + | 10.8337i | −0.0462553 | + | 0.440090i | ||||
\(607\) | 10.9617 | + | 12.1742i | 0.444920 | + | 0.494134i | 0.923333 | − | 0.384001i | \(-0.125454\pi\) |
−0.478412 | + | 0.878135i | \(0.658788\pi\) | |||||||
\(608\) | 1.38923 | − | 1.54290i | 0.0563408 | − | 0.0625727i | ||||
\(609\) | 0.262493 | + | 2.49745i | 0.0106367 | + | 0.101202i | ||||
\(610\) | 32.9368 | + | 7.00093i | 1.33357 | + | 0.283460i | ||||
\(611\) | −12.2504 | + | 5.45425i | −0.495600 | + | 0.220655i | ||||
\(612\) | −0.958529 | − | 0.696412i | −0.0387462 | − | 0.0281508i | ||||
\(613\) | 39.0859 | + | 17.4022i | 1.57867 | + | 0.702867i | 0.994099 | − | 0.108479i | \(-0.0345979\pi\) |
0.584567 | + | 0.811346i | \(0.301265\pi\) | |||||||
\(614\) | 9.13254 | + | 15.8180i | 0.368559 | + | 0.638363i | ||||
\(615\) | −9.85665 | + | 17.0722i | −0.397459 | + | 0.688418i | ||||
\(616\) | 34.0799 | − | 24.7605i | 1.37312 | − | 0.997628i | ||||
\(617\) | −9.16115 | + | 1.94726i | −0.368814 | + | 0.0783938i | −0.388590 | − | 0.921411i | \(-0.627038\pi\) |
0.0197764 | + | 0.999804i | \(0.493705\pi\) | |||||||
\(618\) | −1.56350 | − | 4.81194i | −0.0628930 | − | 0.193565i | ||||
\(619\) | −11.4230 | −0.459129 | −0.229564 | − | 0.973293i | \(-0.573730\pi\) | ||||
−0.229564 | + | 0.973293i | \(0.573730\pi\) | |||||||
\(620\) | −13.6755 | + | 3.59850i | −0.549220 | + | 0.144519i | ||||
\(621\) | −4.69001 | −0.188204 | ||||||||
\(622\) | 2.65172 | + | 8.16115i | 0.106324 | + | 0.327232i | ||||
\(623\) | 10.8094 | − | 2.29761i | 0.433069 | − | 0.0920517i | ||||
\(624\) | −3.13467 | + | 2.27747i | −0.125487 | + | 0.0911717i | ||||
\(625\) | −26.1986 | + | 45.3773i | −1.04794 | + | 1.81509i | ||||
\(626\) | −4.67115 | − | 8.09066i | −0.186697 | − | 0.323368i | ||||
\(627\) | 3.54655 | + | 1.57902i | 0.141635 | + | 0.0630601i | ||||
\(628\) | 5.97272 | + | 4.33943i | 0.238337 | + | 0.173162i | ||||
\(629\) | 1.45449 | − | 0.647582i | 0.0579944 | − | 0.0258208i | ||||
\(630\) | −10.1508 | − | 2.15763i | −0.404419 | − | 0.0859619i | ||||
\(631\) | 0.597211 | + | 5.68208i | 0.0237746 | + | 0.226200i | 0.999957 | + | 0.00924972i | \(0.00294432\pi\) |
−0.976183 | + | 0.216950i | \(0.930389\pi\) | |||||||
\(632\) | −1.07529 | + | 1.19423i | −0.0427726 | + | 0.0475038i | ||||
\(633\) | −15.7414 | − | 17.4826i | −0.625666 | − | 0.694872i | ||||
\(634\) | −3.87811 | + | 36.8977i | −0.154019 | + | 1.46540i | ||||
\(635\) | 2.39311 | − | 7.36523i | 0.0949677 | − | 0.292280i | ||||
\(636\) | 1.82762 | − | 5.62484i | 0.0724699 | − | 0.223040i | ||||
\(637\) | −0.394024 | + | 3.74889i | −0.0156118 | + | 0.148536i | ||||
\(638\) | −5.74670 | − | 6.38235i | −0.227514 | − | 0.252680i | ||||
\(639\) | −2.63975 | + | 2.93174i | −0.104427 | + | 0.115978i | ||||
\(640\) | −1.47338 | − | 14.0183i | −0.0582406 | − | 0.554122i | ||||
\(641\) | −42.1982 | − | 8.96950i | −1.66673 | − | 0.354274i | −0.724507 | − | 0.689267i | \(-0.757933\pi\) |
−0.942221 | + | 0.334993i | \(0.891266\pi\) | |||||||
\(642\) | 4.29445 | − | 1.91201i | 0.169489 | − | 0.0754612i | ||||
\(643\) | 24.7667 | + | 17.9940i | 0.976703 | + | 0.709616i | 0.956969 | − | 0.290189i | \(-0.0937183\pi\) |
0.0197333 | + | 0.999805i | \(0.493718\pi\) | |||||||
\(644\) | 5.78028 | + | 2.57355i | 0.227775 | + | 0.101412i | ||||
\(645\) | 8.38920 | + | 14.5305i | 0.330325 | + | 0.572139i | ||||
\(646\) | 0.686613 | − | 1.18925i | 0.0270144 | − | 0.0467904i | ||||
\(647\) | 0.893652 | − | 0.649276i | 0.0351331 | − | 0.0255257i | −0.570080 | − | 0.821589i | \(-0.693088\pi\) |
0.605213 | + | 0.796063i | \(0.293088\pi\) | |||||||
\(648\) | 3.01069 | − | 0.639942i | 0.118271 | − | 0.0251393i | ||||
\(649\) | −2.81754 | − | 8.67150i | −0.110598 | − | 0.340386i | ||||
\(650\) | −22.3701 | −0.877426 | ||||||||
\(651\) | 0.685689 | − | 12.0470i | 0.0268743 | − | 0.472158i | ||||
\(652\) | −8.62429 | −0.337753 | ||||||||
\(653\) | −2.51588 | − | 7.74308i | −0.0984540 | − | 0.303010i | 0.889684 | − | 0.456576i | \(-0.150924\pi\) |
−0.988138 | + | 0.153566i | \(0.950924\pi\) | |||||||
\(654\) | 11.5336 | − | 2.45155i | 0.451001 | − | 0.0958632i | ||||
\(655\) | −44.1083 | + | 32.0466i | −1.72346 | + | 1.25216i | ||||
\(656\) | 5.71952 | − | 9.90650i | 0.223310 | − | 0.386784i | ||||
\(657\) | 2.40999 | + | 4.17423i | 0.0940227 | + | 0.162852i | ||||
\(658\) | 19.0391 | + | 8.47674i | 0.742220 | + | 0.330458i | ||||
\(659\) | 5.92816 | + | 4.30706i | 0.230928 | + | 0.167779i | 0.697232 | − | 0.716845i | \(-0.254415\pi\) |
−0.466304 | + | 0.884625i | \(0.654415\pi\) | |||||||
\(660\) | −14.6524 | + | 6.52367i | −0.570344 | + | 0.253933i | ||||
\(661\) | 19.8582 | + | 4.22098i | 0.772393 | + | 0.164177i | 0.577217 | − | 0.816591i | \(-0.304139\pi\) |
0.195176 | + | 0.980768i | \(0.437472\pi\) | |||||||
\(662\) | 1.32327 | + | 12.5900i | 0.0514303 | + | 0.489326i | ||||
\(663\) | 2.08431 | − | 2.31486i | 0.0809480 | − | 0.0899019i | ||||
\(664\) | −14.4082 | − | 16.0019i | −0.559145 | − | 0.620993i | ||||
\(665\) | −0.568177 | + | 5.40584i | −0.0220329 | + | 0.209629i | ||||
\(666\) | −0.303393 | + | 0.933749i | −0.0117563 | + | 0.0361820i | ||||
\(667\) | 1.67934 | − | 5.16849i | 0.0650245 | − | 0.200125i | ||||
\(668\) | −0.877160 | + | 8.34562i | −0.0339383 | + | 0.322902i | ||||
\(669\) | 16.3922 | + | 18.2053i | 0.633758 | + | 0.703859i | ||||
\(670\) | −27.7252 | + | 30.7919i | −1.07112 | + | 1.18960i | ||||
\(671\) | 4.64187 | + | 44.1645i | 0.179198 | + | 1.70495i | ||||
\(672\) | −7.15932 | − | 1.52176i | −0.276177 | − | 0.0587032i | ||||
\(673\) | 38.2059 | − | 17.0104i | 1.47273 | − | 0.655701i | 0.495640 | − | 0.868528i | \(-0.334934\pi\) |
0.977090 | + | 0.212827i | \(0.0682671\pi\) | |||||||
\(674\) | −0.378542 | − | 0.275027i | −0.0145809 | − | 0.0105936i | ||||
\(675\) | 10.6390 | + | 4.73681i | 0.409497 | + | 0.182320i | ||||
\(676\) | −3.21260 | − | 5.56438i | −0.123561 | − | 0.214015i | ||||
\(677\) | 3.06884 | − | 5.31538i | 0.117945 | − | 0.204287i | −0.801008 | − | 0.598653i | \(-0.795703\pi\) |
0.918953 | + | 0.394367i | \(0.129036\pi\) | |||||||
\(678\) | 11.2905 | − | 8.20300i | 0.433607 | − | 0.315034i | ||||
\(679\) | 10.6359 | − | 2.26074i | 0.408170 | − | 0.0867591i | ||||
\(680\) | 7.38583 | + | 22.7312i | 0.283234 | + | 0.871703i | ||||
\(681\) | −20.6140 | −0.789932 | ||||||||
\(682\) | 22.3199 | + | 34.7103i | 0.854672 | + | 1.32913i | ||||
\(683\) | 10.8856 | 0.416525 | 0.208263 | − | 0.978073i | \(-0.433219\pi\) | ||||
0.208263 | + | 0.978073i | \(0.433219\pi\) | |||||||
\(684\) | −0.118256 | − | 0.363955i | −0.00452164 | − | 0.0139162i | ||||
\(685\) | −81.8688 | + | 17.4018i | −3.12805 | + | 0.664887i | ||||
\(686\) | 19.1441 | − | 13.9090i | 0.730926 | − | 0.531049i | ||||
\(687\) | 9.34774 | − | 16.1908i | 0.356639 | − | 0.617716i | ||||
\(688\) | −4.86800 | − | 8.43163i | −0.185591 | − | 0.321453i | ||||
\(689\) | 14.2049 | + | 6.32444i | 0.541164 | + | 0.240942i | ||||
\(690\) | 18.1689 | + | 13.2005i | 0.691680 | + | 0.502535i | ||||
\(691\) | 20.6433 | − | 9.19100i | 0.785309 | − | 0.349642i | 0.0254051 | − | 0.999677i | \(-0.491912\pi\) |
0.759904 | + | 0.650035i | \(0.225246\pi\) | |||||||
\(692\) | 2.71507 | + | 0.577106i | 0.103211 | + | 0.0219383i | ||||
\(693\) | −1.43058 | − | 13.6111i | −0.0543434 | − | 0.517043i | ||||
\(694\) | 2.11027 | − | 2.34370i | 0.0801049 | − | 0.0889655i | ||||
\(695\) | 21.8998 | + | 24.3221i | 0.830705 | + | 0.922591i | ||||
\(696\) | −0.372803 | + | 3.54698i | −0.0141311 | + | 0.134448i | ||||
\(697\) | −2.84178 | + | 8.74610i | −0.107640 | + | 0.331282i | ||||
\(698\) | −7.33160 | + | 22.5643i | −0.277505 | + | 0.854073i | ||||
\(699\) | 2.45546 | − | 23.3622i | 0.0928742 | − | 0.883639i | ||||
\(700\) | −10.5130 | − | 11.6759i | −0.397356 | − | 0.441308i | ||||
\(701\) | −5.18594 | + | 5.75957i | −0.195870 | + | 0.217536i | −0.833077 | − | 0.553157i | \(-0.813423\pi\) |
0.637207 | + | 0.770693i | \(0.280090\pi\) | |||||||
\(702\) | 0.200784 | + | 1.91033i | 0.00757810 | + | 0.0721008i | ||||
\(703\) | 0.503013 | + | 0.106919i | 0.0189715 | + | 0.00403252i | ||||
\(704\) | 50.1841 | − | 22.3434i | 1.89138 | − | 0.842098i | ||||
\(705\) | −27.0447 | − | 19.6492i | −1.01856 | − | 0.740030i | ||||
\(706\) | −25.5173 | − | 11.3611i | −0.960358 | − | 0.427579i | ||||
\(707\) | −10.0575 | − | 17.4200i | −0.378250 | − | 0.655148i | ||||
\(708\) | −0.449390 | + | 0.778367i | −0.0168891 | + | 0.0292528i | ||||
\(709\) | −24.2192 | + | 17.5963i | −0.909570 | + | 0.660842i | −0.940906 | − | 0.338667i | \(-0.890024\pi\) |
0.0313358 | + | 0.999509i | \(0.490024\pi\) | |||||||
\(710\) | 18.4780 | − | 3.92761i | 0.693465 | − | 0.147401i | ||||
\(711\) | 0.161337 | + | 0.496545i | 0.00605062 | + | 0.0186219i | ||||
\(712\) | 15.6949 | 0.588192 | ||||||||
\(713\) | −11.9595 | + | 23.2132i | −0.447887 | + | 0.869342i | ||||
\(714\) | −4.84112 | −0.181174 | ||||||||
\(715\) | −13.0306 | − | 40.1042i | −0.487318 | − | 1.49981i | ||||
\(716\) | −2.94645 | + | 0.626288i | −0.110114 | + | 0.0234055i | ||||
\(717\) | −10.8623 | + | 7.89190i | −0.405659 | + | 0.294728i | ||||
\(718\) | 8.27359 | − | 14.3303i | 0.308767 | − | 0.534801i | ||||
\(719\) | −9.16478 | − | 15.8739i | −0.341789 | − | 0.591996i | 0.642976 | − | 0.765886i | \(-0.277699\pi\) |
−0.984765 | + | 0.173891i | \(0.944366\pi\) | |||||||
\(720\) | −8.82404 | − | 3.92871i | −0.328852 | − | 0.146415i | ||||
\(721\) | 7.55835 | + | 5.49146i | 0.281488 | + | 0.204513i | ||||
\(722\) | −19.9665 | + | 8.88968i | −0.743078 | + | 0.330840i | ||||
\(723\) | 10.0211 | + | 2.13005i | 0.372689 | + | 0.0792175i | ||||
\(724\) | 0.0881528 | + | 0.838717i | 0.00327617 | + | 0.0311707i | ||||
\(725\) | −9.02957 | + | 10.0283i | −0.335350 | + | 0.372444i | ||||
\(726\) | 22.6808 | + | 25.1896i | 0.841763 | + | 0.934872i | ||||
\(727\) | −3.57552 | + | 34.0188i | −0.132609 | + | 1.26169i | 0.702532 | + | 0.711652i | \(0.252053\pi\) |
−0.835141 | + | 0.550036i | \(0.814614\pi\) | |||||||
\(728\) | 3.37360 | − | 10.3829i | 0.125034 | − | 0.384815i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 2.41256 | − | 22.9540i | 0.0892928 | − | 0.849564i | ||||
\(731\) | 5.23733 | + | 5.81665i | 0.193710 | + | 0.215136i | ||||
\(732\) | 2.92911 | − | 3.25311i | 0.108263 | − | 0.120238i | ||||
\(733\) | 0.0482823 | + | 0.459376i | 0.00178335 | + | 0.0169674i | 0.995377 | − | 0.0960409i | \(-0.0306180\pi\) |
−0.993594 | + | 0.113008i | \(0.963951\pi\) | |||||||
\(734\) | −38.5993 | − | 8.20452i | −1.42472 | − | 0.302835i | ||||
\(735\) | −8.58463 | + | 3.82212i | −0.316649 | + | 0.140981i | ||||
\(736\) | 12.8144 | + | 9.31023i | 0.472346 | + | 0.343180i | ||||
\(737\) | −49.9201 | − | 22.2259i | −1.83883 | − | 0.818700i | ||||
\(738\) | −2.83544 | − | 4.91113i | −0.104374 | − | 0.180781i | ||||
\(739\) | 21.2177 | − | 36.7501i | 0.780504 | − | 1.35187i | −0.151144 | − | 0.988512i | \(-0.548296\pi\) |
0.931648 | − | 0.363361i | \(-0.118371\pi\) | |||||||
\(740\) | −1.71884 | + | 1.24881i | −0.0631859 | + | 0.0459072i | ||||
\(741\) | 0.984125 | − | 0.209182i | 0.0361527 | − | 0.00768450i | ||||
\(742\) | −7.46767 | − | 22.9831i | −0.274147 | − | 0.843737i | ||||
\(743\) | 1.56364 | 0.0573645 | 0.0286822 | − | 0.999589i | \(-0.490869\pi\) | ||||
0.0286822 | + | 0.999589i | \(0.490869\pi\) | |||||||
\(744\) | 4.50985 | − | 16.5332i | 0.165339 | − | 0.606138i | ||||
\(745\) | 62.7022 | 2.29723 | ||||||||
\(746\) | −0.185345 | − | 0.570434i | −0.00678598 | − | 0.0208851i | ||||
\(747\) | −6.84291 | + | 1.45450i | −0.250369 | + | 0.0532175i | ||||
\(748\) | −6.05319 | + | 4.39790i | −0.221327 | + | 0.160803i | ||||
\(749\) | −4.34013 | + | 7.51733i | −0.158585 | + | 0.274677i | ||||
\(750\) | −15.9119 | − | 27.5601i | −0.581019 | − | 1.00635i | ||||
\(751\) | 25.4799 | + | 11.3444i | 0.929775 | + | 0.413962i | 0.815021 | − | 0.579432i | \(-0.196725\pi\) |
0.114754 | + | 0.993394i | \(0.463392\pi\) | |||||||
\(752\) | 15.6933 | + | 11.4018i | 0.572274 | + | 0.415781i | ||||
\(753\) | −15.9789 | + | 7.11428i | −0.582304 | + | 0.259259i | ||||
\(754\) | −2.17712 | − | 0.462761i | −0.0792860 | − | 0.0168528i | ||||
\(755\) | 6.48552 | + | 61.7056i | 0.236032 | + | 2.24570i | ||||
\(756\) | −0.902726 | + | 1.00258i | −0.0328318 | + | 0.0364634i | ||||
\(757\) | 5.04494 | + | 5.60297i | 0.183361 | + | 0.203643i | 0.827817 | − | 0.560998i | \(-0.189583\pi\) |
−0.644456 | + | 0.764642i | \(0.722916\pi\) | |||||||
\(758\) | 2.57541 | − | 24.5034i | 0.0935431 | − | 0.890003i | ||||
\(759\) | −9.15242 | + | 28.1683i | −0.332212 | + | 1.02244i | ||||
\(760\) | −2.38557 | + | 7.34204i | −0.0865339 | + | 0.266324i | ||||
\(761\) | −0.601396 | + | 5.72190i | −0.0218006 | + | 0.207419i | −1.00000 | 0.000249232i | \(-0.999921\pi\) | |
0.978199 | + | 0.207668i | \(0.0665873\pi\) | |||||||
\(762\) | 1.49067 | + | 1.65556i | 0.0540014 | + | 0.0599746i | ||||
\(763\) | −14.5689 | + | 16.1804i | −0.527431 | + | 0.585772i | ||||
\(764\) | 0.239191 | + | 2.27575i | 0.00865363 | + | 0.0823338i | ||||
\(765\) | 7.59556 | + | 1.61449i | 0.274618 | + | 0.0583719i | ||||
\(766\) | −2.32897 | + | 1.03692i | −0.0841490 | + | 0.0374656i | ||||
\(767\) | −1.91168 | − | 1.38892i | −0.0690269 | − | 0.0501510i | ||||
\(768\) | −12.1891 | − | 5.42694i | −0.439837 | − | 0.195828i | ||||
\(769\) | −15.8741 | − | 27.4947i | −0.572433 | − | 0.991483i | −0.996315 | − | 0.0857659i | \(-0.972666\pi\) |
0.423882 | − | 0.905717i | \(-0.360667\pi\) | |||||||
\(770\) | −32.7678 | + | 56.7554i | −1.18087 | + | 2.04532i | ||||
\(771\) | −2.05609 | + | 1.49384i | −0.0740484 | + | 0.0537993i | ||||
\(772\) | 1.95054 | − | 0.414600i | 0.0702015 | − | 0.0149218i | ||||
\(773\) | −0.165911 | − | 0.510622i | −0.00596741 | − | 0.0183658i | 0.948028 | − | 0.318185i | \(-0.103073\pi\) |
−0.953996 | + | 0.299820i | \(0.903073\pi\) | |||||||
\(774\) | −4.82660 | −0.173489 | ||||||||
\(775\) | 50.5743 | − | 40.5791i | 1.81668 | − | 1.45764i | ||||
\(776\) | 15.4430 | 0.554373 | ||||||||
\(777\) | −0.560223 | − | 1.72419i | −0.0200979 | − | 0.0618550i | ||||
\(778\) | −43.4448 | + | 9.23448i | −1.55757 | + | 0.331072i | ||||
\(779\) | −2.40303 | + | 1.74590i | −0.0860975 | + | 0.0625535i | ||||
\(780\) | −2.07835 | + | 3.59981i | −0.0744169 | + | 0.128894i | ||||
\(781\) | 12.4566 | + | 21.5755i | 0.445734 | + | 0.772034i | ||||
\(782\) | 9.57085 | + | 4.26122i | 0.342253 | + | 0.152381i | ||||
\(783\) | 0.937435 | + | 0.681086i | 0.0335012 | + | 0.0243400i | ||||
\(784\) | 4.98140 | − | 2.21786i | 0.177907 | − | 0.0792094i | ||||
\(785\) | −47.3289 | − | 10.0601i | −1.68924 | − | 0.359059i | ||||
\(786\) | −1.63941 | − | 15.5980i | −0.0584760 | − | 0.556362i | ||||
\(787\) | 26.5041 | − | 29.4358i | 0.944771 | − | 1.04927i | −0.0539419 | − | 0.998544i | \(-0.517179\pi\) |
0.998712 | − | 0.0507299i | \(-0.0161548\pi\) | |||||||
\(788\) | −4.83593 | − | 5.37085i | −0.172273 | − | 0.191329i | ||||
\(789\) | −1.59730 | + | 15.1972i | −0.0568652 | + | 0.541036i | ||||
\(790\) | 0.772560 | − | 2.37770i | 0.0274865 | − | 0.0845946i | ||||
\(791\) | −7.96327 | + | 24.5084i | −0.283141 | + | 0.871419i | ||||
\(792\) | 2.03177 | − | 19.3310i | 0.0721960 | − | 0.686899i | ||||
\(793\) | 7.70088 | + | 8.55269i | 0.273466 | + | 0.303715i | ||||
\(794\) | 25.3059 | − | 28.1051i | 0.898074 | − | 0.997412i | ||||
\(795\) | 4.05179 | + | 38.5502i | 0.143702 | + | 1.36723i | ||||
\(796\) | −4.68797 | − | 0.996458i | −0.166161 | − | 0.0353185i | ||||
\(797\) | −14.3903 | + | 6.40698i | −0.509731 | + | 0.226947i | −0.645453 | − | 0.763800i | \(-0.723331\pi\) |
0.135722 | + | 0.990747i | \(0.456665\pi\) | |||||||
\(798\) | −1.26502 | − | 0.919091i | −0.0447812 | − | 0.0325355i | ||||
\(799\) | −14.2464 | − | 6.34289i | −0.504000 | − | 0.224395i | ||||
\(800\) | −19.6657 | − | 34.0621i | −0.695289 | − | 1.20428i | ||||
\(801\) | 2.54957 | − | 4.41599i | 0.0900847 | − | 0.156031i | ||||
\(802\) | −13.2916 | + | 9.65689i | −0.469342 | + | 0.340997i | ||||
\(803\) | 29.7735 | − | 6.32854i | 1.05068 | − | 0.223329i | ||||
\(804\) | 1.66454 | + | 5.12292i | 0.0587037 | + | 0.180671i | ||||
\(805\) | −41.4693 | −1.46160 | ||||||||
\(806\) | 9.96718 | + | 3.87756i | 0.351079 | + | 0.136581i | ||||
\(807\) | −14.7524 | −0.519310 | ||||||||
\(808\) | −8.82800 | − | 27.1698i | −0.310568 | − | 0.955830i | ||||
\(809\) | −18.5583 | + | 3.94470i | −0.652477 | + | 0.138688i | −0.522245 | − | 0.852795i | \(-0.674905\pi\) |
−0.130231 | + | 0.991484i | \(0.541572\pi\) | |||||||
\(810\) | −3.87396 | + | 2.81460i | −0.136117 | + | 0.0988949i | ||||
\(811\) | −16.2093 | + | 28.0753i | −0.569186 | + | 0.985858i | 0.427461 | + | 0.904034i | \(0.359408\pi\) |
−0.996647 | + | 0.0818246i | \(0.973925\pi\) | |||||||
\(812\) | −0.781625 | − | 1.35381i | −0.0274297 | − | 0.0475096i | ||||
\(813\) | −4.62512 | − | 2.05924i | −0.162210 | − | 0.0722206i | ||||
\(814\) | 5.01604 | + | 3.64437i | 0.175812 | + | 0.127735i | ||||
\(815\) | 51.6370 | − | 22.9903i | 1.80877 | − | 0.805315i | ||||
\(816\) | −4.40748 | − | 0.936838i | −0.154293 | − | 0.0327959i | ||||
\(817\) | 0.264258 | + | 2.51424i | 0.00924521 | + | 0.0879623i | ||||
\(818\) | 26.7942 | − | 29.7579i | 0.936835 | − | 1.04046i | ||||
\(819\) | −2.37334 | − | 2.63586i | −0.0829313 | − | 0.0921045i | ||||
\(820\) | 1.28274 | − | 12.2045i | 0.0447953 | − | 0.426199i | ||||
\(821\) | 2.99628 | − | 9.22160i | 0.104571 | − | 0.321836i | −0.885059 | − | 0.465480i | \(-0.845882\pi\) |
0.989629 | + | 0.143644i | \(0.0458819\pi\) | |||||||
\(822\) | 7.44025 | − | 22.8987i | 0.259509 | − | 0.798685i | ||||
\(823\) | 2.67999 | − | 25.4984i | 0.0934187 | − | 0.888820i | −0.842995 | − | 0.537922i | \(-0.819210\pi\) |
0.936414 | − | 0.350898i | \(-0.114124\pi\) | |||||||
\(824\) | 8.87855 | + | 9.86063i | 0.309299 | + | 0.343511i | ||||
\(825\) | 49.2111 | − | 54.6545i | 1.71331 | − | 1.90282i | ||||
\(826\) | 0.383872 | + | 3.65230i | 0.0133566 | + | 0.127080i | ||||
\(827\) | 32.4592 | + | 6.89941i | 1.12872 | + | 0.239916i | 0.734173 | − | 0.678962i | \(-0.237570\pi\) |
0.394542 | + | 0.918878i | \(0.370903\pi\) | |||||||
\(828\) | 2.66716 | − | 1.18750i | 0.0926904 | − | 0.0412684i | ||||
\(829\) | 15.5025 | + | 11.2632i | 0.538423 | + | 0.391187i | 0.823499 | − | 0.567318i | \(-0.192019\pi\) |
−0.285076 | + | 0.958505i | \(0.592019\pi\) | |||||||
\(830\) | 30.6030 | + | 13.6253i | 1.06225 | + | 0.472942i | ||||
\(831\) | −6.78176 | − | 11.7464i | −0.235257 | − | 0.407477i | ||||
\(832\) | 7.11830 | − | 12.3293i | 0.246783 | − | 0.427440i | ||||
\(833\) | −3.54648 | + | 2.57667i | −0.122878 | + | 0.0892763i | ||||
\(834\) | −9.20924 | + | 1.95748i | −0.318890 | + | 0.0677821i | ||||
\(835\) | −16.9955 | − | 52.3068i | −0.588154 | − | 1.81015i | ||||
\(836\) | −2.41669 | −0.0835830 | ||||||||
\(837\) | −3.91926 | − | 3.95467i | −0.135469 | − | 0.136693i | ||||
\(838\) | 4.01544 | 0.138711 | ||||||||
\(839\) | 5.82339 | + | 17.9226i | 0.201046 | + | 0.618755i | 0.999853 | + | 0.0171676i | \(0.00546489\pi\) |
−0.798807 | + | 0.601588i | \(0.794535\pi\) | |||||||
\(840\) | 26.6207 | − | 5.65839i | 0.918500 | − | 0.195233i | ||||
\(841\) | 22.3753 | − | 16.2566i | 0.771561 | − | 0.560572i | ||||
\(842\) | −4.34273 | + | 7.52182i | −0.149660 | + | 0.259219i | ||||
\(843\) | 15.3938 | + | 26.6629i | 0.530191 | + | 0.918318i | ||||
\(844\) | 13.3785 | + | 5.95651i | 0.460509 | + | 0.205032i | ||||
\(845\) | 34.0684 | + | 24.7521i | 1.17199 | + | 0.851500i | ||||
\(846\) | 8.78509 | − | 3.91137i | 0.302038 | − | 0.134476i | ||||
\(847\) | −61.2219 | − | 13.0131i | −2.10361 | − | 0.447136i | ||||
\(848\) | −2.35113 | − | 22.3695i | −0.0807382 | − | 0.768172i | ||||
\(849\) | 16.3089 | − | 18.1128i | 0.559719 | − | 0.621631i | ||||
\(850\) | −17.4072 | − | 19.3327i | −0.597063 | − | 0.663106i | ||||
\(851\) | −0.410098 | + | 3.90182i | −0.0140580 | + | 0.133753i | ||||
\(852\) | 0.758891 | − | 2.33563i | 0.0259992 | − | 0.0800173i | ||||
\(853\) | 9.57434 | − | 29.4668i | 0.327819 | − | 1.00892i | −0.642333 | − | 0.766426i | \(-0.722033\pi\) |
0.970152 | − | 0.242498i | \(-0.0779666\pi\) | |||||||
\(854\) | 1.86964 | − | 17.7884i | 0.0639777 | − | 0.608707i | ||||
\(855\) | 1.67826 | + | 1.86390i | 0.0573954 | + | 0.0637441i | ||||
\(856\) | −8.24908 | + | 9.16153i | −0.281948 | + | 0.313135i | ||||
\(857\) | −1.43844 | − | 13.6858i | −0.0491362 | − | 0.467500i | −0.991230 | − | 0.132150i | \(-0.957812\pi\) |
0.942094 | − | 0.335350i | \(-0.108855\pi\) | |||||||
\(858\) | 11.8653 | + | 2.52205i | 0.405074 | + | 0.0861012i | ||||
\(859\) | 1.06535 | − | 0.474325i | 0.0363493 | − | 0.0161838i | −0.388481 | − | 0.921457i | \(-0.627000\pi\) |
0.424831 | + | 0.905273i | \(0.360334\pi\) | |||||||
\(860\) | −8.44994 | − | 6.13924i | −0.288141 | − | 0.209346i | ||||
\(861\) | 9.56611 | + | 4.25911i | 0.326012 | + | 0.145150i | ||||
\(862\) | −1.85456 | − | 3.21220i | −0.0631667 | − | 0.109408i | ||||
\(863\) | −20.9010 | + | 36.2016i | −0.711478 | + | 1.23232i | 0.252824 | + | 0.967512i | \(0.418641\pi\) |
−0.964302 | + | 0.264804i | \(0.914693\pi\) | |||||||
\(864\) | −2.73228 | + | 1.98512i | −0.0929541 | + | 0.0675351i | ||||
\(865\) | −17.7946 | + | 3.78236i | −0.605035 | + | 0.128604i | ||||
\(866\) | −3.95515 | − | 12.1727i | −0.134402 | − | 0.413645i | ||||
\(867\) | −13.3775 | −0.454325 | ||||||||
\(868\) | 2.66032 | + | 7.02461i | 0.0902970 | + | 0.238431i | ||||
\(869\) | 3.29710 | 0.111846 | ||||||||
\(870\) | −1.71460 | − | 5.27701i | −0.0581305 | − | 0.178907i | ||||
\(871\) | −13.8522 | + | 2.94438i | −0.469365 | + | 0.0997667i | ||||
\(872\) | −25.0171 | + | 18.1760i | −0.847185 | + | 0.615516i | ||||
\(873\) | 2.50866 | − | 4.34513i | 0.0849053 | − | 0.147060i | ||||
\(874\) | 1.69194 | + | 2.93052i | 0.0572306 | + | 0.0991264i | ||||
\(875\) | 53.6829 | + | 23.9012i | 1.81481 | + | 0.808007i | ||||
\(876\) | −2.42744 | − | 1.76364i | −0.0820156 | − | 0.0595878i | ||||
\(877\) | −6.36912 | + | 2.83571i | −0.215070 | + | 0.0957553i | −0.511444 | − | 0.859317i | \(-0.670889\pi\) |
0.296374 | + | 0.955072i | \(0.404223\pi\) | |||||||
\(878\) | 33.7989 | + | 7.18417i | 1.14066 | + | 0.242454i | ||||
\(879\) | −1.69342 | − | 16.1119i | −0.0571178 | − | 0.543439i | ||||
\(880\) | −40.8157 | + | 45.3305i | −1.37590 | + | 1.52809i | ||||
\(881\) | 10.3561 | + | 11.5016i | 0.348905 | + | 0.387499i | 0.891896 | − | 0.452240i | \(-0.149375\pi\) |
−0.542991 | + | 0.839738i | \(0.682708\pi\) | |||||||
\(882\) | 0.282564 | − | 2.68842i | 0.00951443 | − | 0.0905237i | ||||
\(883\) | −2.26607 | + | 6.97424i | −0.0762592 | + | 0.234702i | −0.981918 | − | 0.189305i | \(-0.939377\pi\) |
0.905659 | + | 0.424006i | \(0.139377\pi\) | |||||||
\(884\) | −0.599211 | + | 1.84418i | −0.0201537 | + | 0.0620266i | ||||
\(885\) | 0.615738 | − | 5.85836i | 0.0206978 | − | 0.196927i | ||||
\(886\) | −9.94215 | − | 11.0419i | −0.334013 | − | 0.370959i | ||||
\(887\) | 37.8752 | − | 42.0647i | 1.27173 | − | 1.41239i | 0.404455 | − | 0.914558i | \(-0.367461\pi\) |
0.867271 | − | 0.497836i | \(-0.165872\pi\) | |||||||
\(888\) | −0.269138 | − | 2.56068i | −0.00903168 | − | 0.0859307i | ||||
\(889\) | −4.02375 | − | 0.855274i | −0.134952 | − | 0.0286850i | ||||
\(890\) | −22.3062 | + | 9.93136i | −0.747705 | + | 0.332900i | ||||
\(891\) | −5.10902 | − | 3.71192i | −0.171158 | − | 0.124354i | ||||
\(892\) | −13.9316 | − | 6.20275i | −0.466465 | − | 0.207683i | ||||
\(893\) | −2.51847 | − | 4.36213i | −0.0842775 | − | 0.145973i | ||||
\(894\) | −9.01870 | + | 15.6208i | −0.301630 | + | 0.522439i | ||||
\(895\) | 15.9721 | − | 11.6044i | 0.533887 | − | 0.387892i | ||||
\(896\) | −7.32371 | + | 1.55670i | −0.244668 | + | 0.0520058i | ||||
\(897\) | 2.37196 | + | 7.30013i | 0.0791973 | + | 0.243744i | ||||
\(898\) | −31.8694 | −1.06350 | ||||||||
\(899\) | 5.76149 | − | 2.90307i | 0.192156 | − | 0.0968227i | ||||
\(900\) | −7.24967 | −0.241656 | ||||||||
\(901\) | 5.58783 | + | 17.1976i | 0.186157 | + | 0.572934i | ||||
\(902\) | −35.0295 | + | 7.44576i | −1.16636 | + | 0.247917i | ||||
\(903\) | 7.21032 | − | 5.23860i | 0.239944 | − | 0.174330i | ||||
\(904\) | −18.2996 | + | 31.6958i | −0.608635 | + | 1.05419i | ||||
\(905\) | −2.76363 | − | 4.78674i | −0.0918660 | − | 0.159117i | ||||
\(906\) | −16.3054 | − | 7.25963i | −0.541711 | − | 0.241185i | ||||
\(907\) | 11.4419 | + | 8.31302i | 0.379922 | + | 0.276029i | 0.761313 | − | 0.648384i | \(-0.224555\pi\) |
−0.381392 | + | 0.924414i | \(0.624555\pi\) | |||||||
\(908\) | 11.7230 | − | 5.21942i | 0.389041 | − | 0.173212i | ||||
\(909\) | −9.07869 | − | 1.92973i | −0.301121 | − | 0.0640053i | ||||
\(910\) | 1.77534 | + | 16.8912i | 0.0588520 | + | 0.559939i | ||||
\(911\) | −39.6606 | + | 44.0475i | −1.31401 | + | 1.45936i | −0.516181 | + | 0.856480i | \(0.672647\pi\) |
−0.797832 | + | 0.602880i | \(0.794020\pi\) | |||||||
\(912\) | −0.973846 | − | 1.08157i | −0.0322473 | − | 0.0358142i | ||||
\(913\) | −4.61796 | + | 43.9370i | −0.152832 | + | 1.45410i | ||||
\(914\) | 4.48722 | − | 13.8102i | 0.148424 | − | 0.456802i | ||||
\(915\) | −8.86574 | + | 27.2859i | −0.293092 | + | 0.902046i | ||||
\(916\) | −1.21651 | + | 11.5743i | −0.0401947 | + | 0.382427i | ||||
\(917\) | 19.3785 | + | 21.5220i | 0.639934 | + | 0.710719i | ||||
\(918\) | −1.49471 | + | 1.66004i | −0.0493328 | + | 0.0547896i | ||||
\(919\) | −2.79660 | − | 26.6079i | −0.0922515 | − | 0.877714i | −0.938582 | − | 0.345056i | \(-0.887860\pi\) |
0.846331 | − | 0.532658i | \(-0.178807\pi\) | |||||||
\(920\) | −57.6094 | − | 12.2453i | −1.89933 | − | 0.403714i | ||||
\(921\) | −14.2170 | + | 6.32981i | −0.468465 | + | 0.208574i | ||||
\(922\) | 35.4577 | + | 25.7616i | 1.16774 | + | 0.848412i | ||||
\(923\) | 5.89837 | + | 2.62612i | 0.194147 | + | 0.0864399i | ||||
\(924\) | 4.25985 | + | 7.37828i | 0.140139 | + | 0.242728i | ||||
\(925\) | 4.87104 | − | 8.43689i | 0.160159 | − | 0.277403i | ||||
\(926\) | −26.5773 | + | 19.3095i | −0.873383 | + | 0.634550i | ||||
\(927\) | 4.21671 | − | 0.896290i | 0.138495 | − | 0.0294380i | ||||
\(928\) | −1.20930 | − | 3.72184i | −0.0396972 | − | 0.122175i | ||||
\(929\) | −47.9515 | −1.57324 | −0.786619 | − | 0.617439i | \(-0.788170\pi\) | ||||
−0.786619 | + | 0.617439i | \(0.788170\pi\) | |||||||
\(930\) | 4.05227 | + | 26.3514i | 0.132879 | + | 0.864096i | ||||
\(931\) | −1.41590 | −0.0464044 | ||||||||
\(932\) | 4.51884 | + | 13.9076i | 0.148019 | + | 0.455557i | ||||
\(933\) | −7.15163 | + | 1.52012i | −0.234134 | + | 0.0497667i | ||||
\(934\) | 30.4268 | − | 22.1064i | 0.995596 | − | 0.723343i | ||||
\(935\) | 24.5191 | − | 42.4684i | 0.801861 | − | 1.38886i | ||||
\(936\) | −2.51873 | − | 4.36257i | −0.0823272 | − | 0.142595i | ||||
\(937\) | 37.0491 | + | 16.4953i | 1.21034 | + | 0.538879i | 0.909863 | − | 0.414909i | \(-0.136186\pi\) |
0.300480 | + | 0.953788i | \(0.402853\pi\) | |||||||
\(938\) | 17.8060 | + | 12.9368i | 0.581388 | + | 0.422403i | ||||
\(939\) | 7.27175 | − | 3.23759i | 0.237305 | − | 0.105655i | ||||
\(940\) | 20.3552 | + | 4.32663i | 0.663913 | + | 0.141119i | ||||
\(941\) | 1.14673 | + | 10.9104i | 0.0373823 | + | 0.355669i | 0.997184 | + | 0.0749908i | \(0.0238927\pi\) |
−0.959802 | + | 0.280678i | \(0.909441\pi\) | |||||||
\(942\) | 9.31374 | − | 10.3440i | 0.303458 | − | 0.337024i | ||||
\(943\) | −15.1632 | − | 16.8404i | −0.493782 | − | 0.548400i | ||||
\(944\) | −0.357295 | + | 3.39943i | −0.0116289 | + | 0.110642i | ||||
\(945\) | 2.73234 | − | 8.40929i | 0.0888831 | − | 0.273554i | ||||
\(946\) | −9.41897 | + | 28.9886i | −0.306237 | + | 0.942501i | ||||
\(947\) | 2.64060 | − | 25.1236i | 0.0858080 | − | 0.816408i | −0.863983 | − | 0.503522i | \(-0.832037\pi\) |
0.949790 | − | 0.312887i | \(-0.101296\pi\) | |||||||
\(948\) | −0.217475 | − | 0.241530i | −0.00706324 | − | 0.00784453i | ||||
\(949\) | 5.27845 | − | 5.86231i | 0.171346 | − | 0.190299i | ||||
\(950\) | −0.878309 | − | 8.35655i | −0.0284961 | − | 0.271122i | ||||
\(951\) | −30.9204 | − | 6.57234i | −1.00266 | − | 0.213123i | ||||
\(952\) | 11.5983 | − | 5.16388i | 0.375902 | − | 0.167362i | ||||
\(953\) | −10.2988 | − | 7.48251i | −0.333611 | − | 0.242382i | 0.408351 | − | 0.912825i | \(-0.366104\pi\) |
−0.741961 | + | 0.670443i | \(0.766104\pi\) | |||||||
\(954\) | −10.1867 | − | 4.53541i | −0.329806 | − | 0.146839i | ||||
\(955\) | −7.49874 | − | 12.9882i | −0.242654 | − | 0.420289i | ||||
\(956\) | 4.17906 | − | 7.23834i | 0.135160 | − | 0.234105i | ||||
\(957\) | 5.91999 | − | 4.30112i | 0.191366 | − | 0.139035i | ||||
\(958\) | 3.19976 | − | 0.680131i | 0.103380 | − | 0.0219740i | ||||
\(959\) | 13.7386 | + | 42.2831i | 0.443643 | + | 1.36539i | ||||
\(960\) | 35.4903 | 1.14544 | ||||||||
\(961\) | −29.5677 | + | 9.31399i | −0.953797 | + | 0.300451i | ||||
\(962\) | 1.60684 | 0.0518067 | ||||||||
\(963\) | 1.23770 | + | 3.80925i | 0.0398843 | + | 0.122751i | ||||
\(964\) | −6.23823 | + | 1.32598i | −0.200920 | + | 0.0427068i | ||||
\(965\) | −10.5734 | + | 7.68205i | −0.340371 | + | 0.247294i | ||||
\(966\) | 5.96469 | − | 10.3311i | 0.191911 | − | 0.332399i | ||||
\(967\) | −4.36890 | − | 7.56715i | −0.140494 | − | 0.243343i | 0.787189 | − | 0.616712i | \(-0.211536\pi\) |
−0.927683 | + | 0.373369i | \(0.878203\pi\) | |||||||
\(968\) | −81.2071 | − | 36.1557i | −2.61010 | − | 1.16209i | ||||
\(969\) | 0.946576 | + | 0.687728i | 0.0304084 | + | 0.0220930i | ||||
\(970\) | −21.9482 | + | 9.77199i | −0.704716 | + | 0.313760i | ||||
\(971\) | 31.1417 | + | 6.61938i | 0.999386 | + | 0.212426i | 0.678428 | − | 0.734667i | \(-0.262662\pi\) |
0.320959 | + | 0.947093i | \(0.395995\pi\) | |||||||
\(972\) | 0.0650699 | + | 0.619099i | 0.00208712 | + | 0.0198576i | ||||
\(973\) | 11.6328 | − | 12.9196i | 0.372931 | − | 0.414182i | ||||
\(974\) | 3.81782 | + | 4.24012i | 0.122331 | + | 0.135862i | ||||
\(975\) | 1.99231 | − | 18.9556i | 0.0638050 | − | 0.607064i | ||||
\(976\) | 5.14452 | − | 15.8332i | 0.164672 | − | 0.506809i | ||||
\(977\) | −1.14807 | + | 3.53339i | −0.0367300 | + | 0.113043i | −0.967740 | − | 0.251949i | \(-0.918928\pi\) |
0.931010 | + | 0.364992i | \(0.118928\pi\) | |||||||
\(978\) | −1.69964 | + | 16.1710i | −0.0543484 | + | 0.517091i | ||||
\(979\) | −21.5471 | − | 23.9304i | −0.688647 | − | 0.764820i | ||||
\(980\) | 3.91424 | − | 4.34721i | 0.125036 | − | 0.138866i | ||||
\(981\) | 1.05015 | + | 9.99153i | 0.0335288 | + | 0.319005i | ||||
\(982\) | 36.0851 | + | 7.67013i | 1.15152 | + | 0.244764i | ||||
\(983\) | 17.4750 | − | 7.78036i | 0.557365 | − | 0.248155i | −0.108667 | − | 0.994078i | \(-0.534658\pi\) |
0.666032 | + | 0.745923i | \(0.267991\pi\) | |||||||
\(984\) | 12.0316 | + | 8.74150i | 0.383555 | + | 0.278669i | ||||
\(985\) | 43.2721 | + | 19.2660i | 1.37876 | + | 0.613865i | ||||
\(986\) | −1.29420 | − | 2.24161i | −0.0412156 | − | 0.0713875i | ||||
\(987\) | −8.87853 | + | 15.3781i | −0.282607 | + | 0.489489i | ||||
\(988\) | −0.506698 | + | 0.368138i | −0.0161202 | + | 0.0117120i | ||||
\(989\) | −18.8658 | + | 4.01005i | −0.599898 | + | 0.127512i | ||||
\(990\) | 9.34458 | + | 28.7597i | 0.296990 | + | 0.914042i | ||||
\(991\) | 17.7063 | 0.562458 | 0.281229 | − | 0.959641i | \(-0.409258\pi\) | ||||
0.281229 | + | 0.959641i | \(0.409258\pi\) | |||||||
\(992\) | 2.85804 | + | 18.5855i | 0.0907428 | + | 0.590089i | ||||
\(993\) | −10.7862 | −0.342290 | ||||||||
\(994\) | −3.10083 | − | 9.54337i | −0.0983523 | − | 0.302697i | ||||
\(995\) | 30.7250 | − | 6.53081i | 0.974049 | − | 0.207041i | ||||
\(996\) | 3.52322 | − | 2.55977i | 0.111637 | − | 0.0811093i | ||||
\(997\) | −13.4064 | + | 23.2206i | −0.424585 | + | 0.735403i | −0.996382 | − | 0.0849923i | \(-0.972913\pi\) |
0.571796 | + | 0.820396i | \(0.306247\pi\) | |||||||
\(998\) | 6.71146 | + | 11.6246i | 0.212448 | + | 0.367970i | ||||
\(999\) | −0.764204 | − | 0.340246i | −0.0241783 | − | 0.0107649i |
(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 | 93.2.m.b.7.2 | ✓ | 24 | |
3.2 | odd | 2 | 279.2.y.d.100.2 | 24 | |||
31.3 | odd | 30 | 2883.2.a.s.1.8 | 12 | |||
31.9 | even | 15 | inner | 93.2.m.b.40.2 | yes | 24 | |
31.28 | even | 15 | 2883.2.a.t.1.8 | 12 | |||
93.59 | odd | 30 | 8649.2.a.bk.1.5 | 12 | |||
93.65 | even | 30 | 8649.2.a.bl.1.5 | 12 | |||
93.71 | odd | 30 | 279.2.y.d.226.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.m.b.7.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
93.2.m.b.40.2 | yes | 24 | 31.9 | even | 15 | inner | |
279.2.y.d.100.2 | 24 | 3.2 | odd | 2 | |||
279.2.y.d.226.2 | 24 | 93.71 | odd | 30 | |||
2883.2.a.s.1.8 | 12 | 31.3 | odd | 30 | |||
2883.2.a.t.1.8 | 12 | 31.28 | even | 15 | |||
8649.2.a.bk.1.5 | 12 | 93.59 | odd | 30 | |||
8649.2.a.bl.1.5 | 12 | 93.65 | even | 30 |