Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(2,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.r (of order \(36\), degree \(12\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 72.2 | ||
Character | \(\chi\) | \(=\) | 95.72 |
Dual form | 95.2.r.a.33.2 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.66970 | + | 0.778592i | −1.18065 | + | 0.550548i | −0.910999 | − | 0.412409i | \(-0.864687\pi\) |
−0.269655 | + | 0.962957i | \(0.586910\pi\) | |||||||
\(3\) | 0.823960 | − | 1.17674i | 0.475714 | − | 0.679389i | −0.507541 | − | 0.861628i | \(-0.669445\pi\) |
0.983254 | + | 0.182238i | \(0.0583342\pi\) | |||||||
\(4\) | 0.896104 | − | 1.06793i | 0.448052 | − | 0.533967i | ||||
\(5\) | −0.649562 | + | 2.13964i | −0.290493 | + | 0.956877i | ||||
\(6\) | −0.459565 | + | 2.60632i | −0.187617 | + | 1.06403i | ||||
\(7\) | 4.27404 | − | 1.14523i | 1.61543 | − | 0.432855i | 0.665779 | − | 0.746149i | \(-0.268099\pi\) |
0.949656 | + | 0.313295i | \(0.101433\pi\) | |||||||
\(8\) | 0.288912 | − | 1.07824i | 0.102146 | − | 0.381214i | ||||
\(9\) | 0.320261 | + | 0.879909i | 0.106754 | + | 0.293303i | ||||
\(10\) | −0.581337 | − | 4.07830i | −0.183835 | − | 1.28967i | ||||
\(11\) | 1.77494 | + | 3.07428i | 0.535163 | + | 0.926930i | 0.999155 | + | 0.0410908i | \(0.0130833\pi\) |
−0.463992 | + | 0.885839i | \(0.653583\pi\) | |||||||
\(12\) | −0.518325 | − | 1.93441i | −0.149627 | − | 0.558417i | ||||
\(13\) | −1.25440 | + | 0.878342i | −0.347909 | + | 0.243608i | −0.734448 | − | 0.678665i | \(-0.762559\pi\) |
0.386540 | + | 0.922273i | \(0.373670\pi\) | |||||||
\(14\) | −6.24468 | + | 5.23991i | −1.66896 | + | 1.40043i | ||||
\(15\) | 1.98258 | + | 2.52734i | 0.511901 | + | 0.652557i | ||||
\(16\) | 0.841272 | + | 4.77109i | 0.210318 | + | 1.19277i | ||||
\(17\) | −2.08055 | − | 4.46175i | −0.504607 | − | 1.08213i | −0.979380 | − | 0.202025i | \(-0.935248\pi\) |
0.474774 | − | 0.880108i | \(-0.342530\pi\) | |||||||
\(18\) | −1.21983 | − | 1.21983i | −0.287516 | − | 0.287516i | ||||
\(19\) | −0.520647 | − | 4.32769i | −0.119445 | − | 0.992841i | ||||
\(20\) | 1.70292 | + | 2.61103i | 0.380785 | + | 0.583844i | ||||
\(21\) | 2.17401 | − | 5.97304i | 0.474408 | − | 1.30342i | ||||
\(22\) | −5.35721 | − | 3.75116i | −1.14216 | − | 0.799750i | ||||
\(23\) | −2.61743 | + | 0.228995i | −0.545771 | + | 0.0477488i | −0.356708 | − | 0.934216i | \(-0.616101\pi\) |
−0.189063 | + | 0.981965i | \(0.560545\pi\) | |||||||
\(24\) | −1.03075 | − | 1.22840i | −0.210401 | − | 0.250746i | ||||
\(25\) | −4.15614 | − | 2.77966i | −0.831228 | − | 0.555932i | ||||
\(26\) | 1.41060 | − | 2.44323i | 0.276641 | − | 0.479157i | ||||
\(27\) | 5.46205 | + | 1.46355i | 1.05117 | + | 0.281661i | ||||
\(28\) | 2.60696 | − | 5.59063i | 0.492668 | − | 1.05653i | ||||
\(29\) | −2.05733 | + | 0.748808i | −0.382037 | + | 0.139050i | −0.525898 | − | 0.850548i | \(-0.676271\pi\) |
0.143860 | + | 0.989598i | \(0.454048\pi\) | |||||||
\(30\) | −5.27808 | − | 2.67627i | −0.963641 | − | 0.488618i | ||||
\(31\) | −5.90309 | − | 3.40815i | −1.06023 | − | 0.612122i | −0.134731 | − | 0.990882i | \(-0.543017\pi\) |
−0.925495 | + | 0.378760i | \(0.876350\pi\) | |||||||
\(32\) | −3.83887 | − | 5.48247i | −0.678622 | − | 0.969173i | ||||
\(33\) | 5.08010 | + | 0.444451i | 0.884331 | + | 0.0773689i | ||||
\(34\) | 6.94776 | + | 5.82986i | 1.19153 | + | 0.999813i | ||||
\(35\) | −0.325881 | + | 9.88881i | −0.0550839 | + | 1.67151i | ||||
\(36\) | 1.22667 | + | 0.446472i | 0.204445 | + | 0.0744120i | ||||
\(37\) | −1.62447 | + | 1.62447i | −0.267061 | + | 0.267061i | −0.827915 | − | 0.560854i | \(-0.810473\pi\) |
0.560854 | + | 0.827915i | \(0.310473\pi\) | |||||||
\(38\) | 4.23883 | + | 6.82056i | 0.687629 | + | 1.10644i | ||||
\(39\) | 2.19982i | 0.352253i | ||||||||
\(40\) | 2.11937 | + | 1.31855i | 0.335102 | + | 0.208481i | ||||
\(41\) | 3.31265 | − | 0.584109i | 0.517349 | − | 0.0912225i | 0.0911234 | − | 0.995840i | \(-0.470954\pi\) |
0.426225 | + | 0.904617i | \(0.359843\pi\) | |||||||
\(42\) | 1.02063 | + | 11.6658i | 0.157486 | + | 1.80008i | ||||
\(43\) | −0.476636 | + | 5.44797i | −0.0726863 | + | 0.830808i | 0.869109 | + | 0.494621i | \(0.164693\pi\) |
−0.941795 | + | 0.336187i | \(0.890863\pi\) | |||||||
\(44\) | 4.87366 | + | 0.859357i | 0.734731 | + | 0.129553i | ||||
\(45\) | −2.09072 | + | 0.113688i | −0.311666 | + | 0.0169476i | ||||
\(46\) | 4.19201 | − | 2.42026i | 0.618078 | − | 0.356848i | ||||
\(47\) | −5.62428 | − | 2.62265i | −0.820386 | − | 0.382552i | −0.0333378 | − | 0.999444i | \(-0.510614\pi\) |
−0.787048 | + | 0.616892i | \(0.788392\pi\) | |||||||
\(48\) | 6.30749 | + | 2.94123i | 0.910408 | + | 0.424530i | ||||
\(49\) | 10.8937 | − | 6.28948i | 1.55624 | − | 0.898497i | ||||
\(50\) | 9.10371 | + | 1.40525i | 1.28746 | + | 0.198733i | ||||
\(51\) | −6.96459 | − | 1.22805i | −0.975238 | − | 0.171961i | ||||
\(52\) | −0.186063 | + | 2.12670i | −0.0258022 | + | 0.294921i | ||||
\(53\) | −0.296214 | − | 3.38574i | −0.0406881 | − | 0.465067i | −0.989019 | − | 0.147786i | \(-0.952785\pi\) |
0.948331 | − | 0.317282i | \(-0.102770\pi\) | |||||||
\(54\) | −10.2595 | + | 1.80902i | −1.39614 | + | 0.246177i | ||||
\(55\) | −7.73079 | + | 1.80079i | −1.04242 | + | 0.242819i | ||||
\(56\) | − | 4.93929i | − | 0.660041i | ||||||
\(57\) | −5.52155 | − | 2.95318i | −0.731347 | − | 0.391159i | ||||
\(58\) | 2.85211 | − | 2.85211i | 0.374500 | − | 0.374500i | ||||
\(59\) | −1.77821 | − | 0.647217i | −0.231504 | − | 0.0842604i | 0.223664 | − | 0.974666i | \(-0.428198\pi\) |
−0.455167 | + | 0.890406i | \(0.650421\pi\) | |||||||
\(60\) | 4.47564 | + | 0.147492i | 0.577802 | + | 0.0190412i | ||||
\(61\) | 7.98682 | + | 6.70174i | 1.02261 | + | 0.858070i | 0.989953 | − | 0.141397i | \(-0.0451593\pi\) |
0.0326549 | + | 0.999467i | \(0.489604\pi\) | |||||||
\(62\) | 12.5099 | + | 1.09448i | 1.58876 | + | 0.138999i | ||||
\(63\) | 2.37650 | + | 3.39400i | 0.299411 | + | 0.427603i | ||||
\(64\) | 2.28709 | + | 1.32045i | 0.285887 | + | 0.165057i | ||||
\(65\) | −1.06453 | − | 3.25451i | −0.132038 | − | 0.403672i | ||||
\(66\) | −8.82826 | + | 3.21322i | −1.08668 | + | 0.395521i | ||||
\(67\) | 1.21739 | − | 2.61071i | 0.148728 | − | 0.318949i | −0.817803 | − | 0.575499i | \(-0.804808\pi\) |
0.966531 | + | 0.256550i | \(0.0825857\pi\) | |||||||
\(68\) | −6.62924 | − | 1.77630i | −0.803913 | − | 0.215408i | ||||
\(69\) | −1.88719 | + | 3.26871i | −0.227191 | + | 0.393506i | ||||
\(70\) | −7.15523 | − | 16.7650i | −0.855213 | − | 2.00380i | ||||
\(71\) | 2.76573 | + | 3.29607i | 0.328232 | + | 0.391172i | 0.904771 | − | 0.425898i | \(-0.140042\pi\) |
−0.576539 | + | 0.817069i | \(0.695597\pi\) | |||||||
\(72\) | 1.04128 | − | 0.0910999i | 0.122716 | − | 0.0107362i | ||||
\(73\) | −10.7658 | − | 7.53828i | −1.26004 | − | 0.882290i | −0.263440 | − | 0.964676i | \(-0.584857\pi\) |
−0.996600 | + | 0.0823864i | \(0.973746\pi\) | |||||||
\(74\) | 1.44757 | − | 3.97716i | 0.168276 | − | 0.462336i | ||||
\(75\) | −6.69542 | + | 2.60035i | −0.773121 | + | 0.300263i | ||||
\(76\) | −5.08825 | − | 3.32204i | −0.583662 | − | 0.381065i | ||||
\(77\) | 11.1069 | + | 11.1069i | 1.26575 | + | 1.26575i | ||||
\(78\) | −1.71276 | − | 3.67303i | −0.193932 | − | 0.415889i | ||||
\(79\) | −0.548448 | − | 3.11040i | −0.0617052 | − | 0.349948i | −0.999992 | − | 0.00408857i | \(-0.998699\pi\) |
0.938286 | − | 0.345859i | \(-0.112413\pi\) | |||||||
\(80\) | −10.7549 | − | 1.29910i | −1.20243 | − | 0.145244i | ||||
\(81\) | 4.07080 | − | 3.41581i | 0.452311 | − | 0.379534i | ||||
\(82\) | −5.07633 | + | 3.55449i | −0.560587 | + | 0.392527i | ||||
\(83\) | 0.251741 | + | 0.939512i | 0.0276322 | + | 0.103125i | 0.978365 | − | 0.206888i | \(-0.0663334\pi\) |
−0.950732 | + | 0.310012i | \(0.899667\pi\) | |||||||
\(84\) | −4.43068 | − | 7.67416i | −0.483427 | − | 0.837320i | ||||
\(85\) | 10.8980 | − | 1.55344i | 1.18205 | − | 0.168495i | ||||
\(86\) | −3.44591 | − | 9.46756i | −0.371582 | − | 1.02091i | ||||
\(87\) | −0.814011 | + | 3.03793i | −0.0872711 | + | 0.325700i | ||||
\(88\) | 3.82760 | − | 1.02560i | 0.408024 | − | 0.109330i | ||||
\(89\) | 1.53879 | − | 8.72693i | 0.163112 | − | 0.925052i | −0.787878 | − | 0.615831i | \(-0.788820\pi\) |
0.950990 | − | 0.309221i | \(-0.100068\pi\) | |||||||
\(90\) | 3.40235 | − | 1.81764i | 0.358639 | − | 0.191596i | ||||
\(91\) | −4.35546 | + | 5.19064i | −0.456577 | + | 0.544127i | ||||
\(92\) | −2.10093 | + | 3.00044i | −0.219037 | + | 0.312818i | ||||
\(93\) | −8.87441 | + | 4.13820i | −0.920233 | + | 0.429112i | ||||
\(94\) | 11.4328 | 1.17920 | ||||||||
\(95\) | 9.59791 | + | 1.69711i | 0.984725 | + | 0.174120i | ||||
\(96\) | −9.61450 | −0.981276 | ||||||||
\(97\) | −4.20551 | + | 1.96106i | −0.427005 | + | 0.199115i | −0.624227 | − | 0.781243i | \(-0.714586\pi\) |
0.197222 | + | 0.980359i | \(0.436808\pi\) | |||||||
\(98\) | −13.2922 | + | 18.9833i | −1.34272 | + | 1.91760i | ||||
\(99\) | −2.13664 | + | 2.54635i | −0.214741 | + | 0.255918i | ||||
\(100\) | −6.69283 | + | 1.94762i | −0.669283 | + | 0.194762i | ||||
\(101\) | 1.16186 | − | 6.58921i | 0.115609 | − | 0.655651i | −0.870838 | − | 0.491570i | \(-0.836423\pi\) |
0.986447 | − | 0.164081i | \(-0.0524658\pi\) | |||||||
\(102\) | 12.5849 | − | 3.37211i | 1.24609 | − | 0.333889i | ||||
\(103\) | −3.25567 | + | 12.1503i | −0.320791 | + | 1.19721i | 0.597685 | + | 0.801731i | \(0.296087\pi\) |
−0.918476 | + | 0.395477i | \(0.870579\pi\) | |||||||
\(104\) | 0.584647 | + | 1.60631i | 0.0573294 | + | 0.157511i | ||||
\(105\) | 11.3680 | + | 8.53146i | 1.10940 | + | 0.832585i | ||||
\(106\) | 3.13070 | + | 5.42253i | 0.304080 | + | 0.526682i | ||||
\(107\) | −3.20832 | − | 11.9736i | −0.310160 | − | 1.15753i | −0.928412 | − | 0.371552i | \(-0.878826\pi\) |
0.618252 | − | 0.785980i | \(-0.287841\pi\) | |||||||
\(108\) | 6.45754 | − | 4.52162i | 0.621377 | − | 0.435093i | ||||
\(109\) | −8.87524 | + | 7.44721i | −0.850094 | + | 0.713313i | −0.959810 | − | 0.280650i | \(-0.909450\pi\) |
0.109717 | + | 0.993963i | \(0.465006\pi\) | |||||||
\(110\) | 11.5060 | − | 9.02591i | 1.09705 | − | 0.860587i | ||||
\(111\) | 0.573074 | + | 3.25007i | 0.0543938 | + | 0.308483i | ||||
\(112\) | 9.05961 | + | 19.4284i | 0.856052 | + | 1.83581i | ||||
\(113\) | −9.15180 | − | 9.15180i | −0.860929 | − | 0.860929i | 0.130517 | − | 0.991446i | \(-0.458336\pi\) |
−0.991446 | + | 0.130517i | \(0.958336\pi\) | |||||||
\(114\) | 11.5186 | + | 0.631883i | 1.07882 | + | 0.0591813i | ||||
\(115\) | 1.21021 | − | 5.74910i | 0.112853 | − | 0.536107i | ||||
\(116\) | −1.04391 | + | 2.86811i | −0.0969242 | + | 0.266297i | ||||
\(117\) | −1.17460 | − | 0.822461i | −0.108591 | − | 0.0760366i | ||||
\(118\) | 3.47299 | − | 0.303847i | 0.319715 | − | 0.0279714i | ||||
\(119\) | −14.0020 | − | 16.6870i | −1.28357 | − | 1.52969i | ||||
\(120\) | 3.29787 | − | 1.40751i | 0.301053 | − | 0.128488i | ||||
\(121\) | −0.800797 | + | 1.38702i | −0.0727998 | + | 0.126093i | ||||
\(122\) | −18.5535 | − | 4.97139i | −1.67975 | − | 0.450089i | ||||
\(123\) | 2.04215 | − | 4.37940i | 0.184134 | − | 0.394877i | ||||
\(124\) | −8.92946 | + | 3.25006i | −0.801889 | + | 0.291864i | ||||
\(125\) | 8.64715 | − | 7.08709i | 0.773425 | − | 0.633888i | ||||
\(126\) | −6.61057 | − | 3.81662i | −0.588917 | − | 0.340011i | ||||
\(127\) | 8.83254 | + | 12.6142i | 0.783761 | + | 1.11933i | 0.990033 | + | 0.140832i | \(0.0449778\pi\) |
−0.206273 | + | 0.978495i | \(0.566133\pi\) | |||||||
\(128\) | 8.48794 | + | 0.742599i | 0.750235 | + | 0.0656371i | ||||
\(129\) | 6.01810 | + | 5.04979i | 0.529864 | + | 0.444609i | ||||
\(130\) | 4.31137 | + | 4.60521i | 0.378132 | + | 0.403904i | ||||
\(131\) | 5.69354 | + | 2.07228i | 0.497447 | + | 0.181056i | 0.578546 | − | 0.815650i | \(-0.303621\pi\) |
−0.0810982 | + | 0.996706i | \(0.525843\pi\) | |||||||
\(132\) | 5.02694 | − | 5.02694i | 0.437539 | − | 0.437539i | ||||
\(133\) | −7.18145 | − | 17.9005i | −0.622711 | − | 1.55217i | ||||
\(134\) | 5.30695i | 0.458450i | ||||||||
\(135\) | −6.67942 | + | 10.7362i | −0.574873 | + | 0.924022i | ||||
\(136\) | −5.41191 | + | 0.954266i | −0.464068 | + | 0.0818276i | ||||
\(137\) | 0.180064 | + | 2.05814i | 0.0153839 | + | 0.175839i | 0.999999 | + | 0.00110380i | \(0.000351351\pi\) |
−0.984615 | + | 0.174735i | \(0.944093\pi\) | |||||||
\(138\) | 0.606042 | − | 6.92709i | 0.0515897 | − | 0.589673i | ||||
\(139\) | 8.12095 | + | 1.43194i | 0.688810 | + | 0.121456i | 0.507088 | − | 0.861894i | \(-0.330722\pi\) |
0.181722 | + | 0.983350i | \(0.441833\pi\) | |||||||
\(140\) | 10.2686 | + | 9.20942i | 0.867853 | + | 0.778338i | ||||
\(141\) | −7.72035 | + | 4.45734i | −0.650170 | + | 0.375376i | ||||
\(142\) | −7.18423 | − | 3.35006i | −0.602887 | − | 0.281131i | ||||
\(143\) | −4.92675 | − | 2.29738i | −0.411996 | − | 0.192117i | ||||
\(144\) | −3.92870 | + | 2.26824i | −0.327392 | + | 0.189020i | ||||
\(145\) | −0.265816 | − | 4.88836i | −0.0220748 | − | 0.405956i | ||||
\(146\) | 23.8448 | + | 4.20449i | 1.97341 | + | 0.347966i | ||||
\(147\) | 1.57491 | − | 18.0013i | 0.129896 | − | 1.48472i | ||||
\(148\) | 0.279134 | + | 3.19051i | 0.0229447 | + | 0.262259i | ||||
\(149\) | 4.20634 | − | 0.741691i | 0.344597 | − | 0.0607617i | 0.00132850 | − | 0.999999i | \(-0.499577\pi\) |
0.343268 | + | 0.939237i | \(0.388466\pi\) | |||||||
\(150\) | 9.15470 | − | 9.55480i | 0.747479 | − | 0.780146i | ||||
\(151\) | 21.5441i | 1.75323i | 0.481192 | + | 0.876615i | \(0.340204\pi\) | ||||
−0.481192 | + | 0.876615i | \(0.659796\pi\) | |||||||
\(152\) | −4.81670 | − | 0.688945i | −0.390686 | − | 0.0558808i | ||||
\(153\) | 3.25961 | − | 3.25961i | 0.263524 | − | 0.263524i | ||||
\(154\) | −27.1929 | − | 9.89739i | −2.19126 | − | 0.797555i | ||||
\(155\) | 11.1266 | − | 10.4167i | 0.893713 | − | 0.836689i | ||||
\(156\) | 2.34926 | + | 1.97127i | 0.188092 | + | 0.157828i | ||||
\(157\) | 5.98609 | + | 0.523715i | 0.477742 | + | 0.0417970i | 0.323484 | − | 0.946234i | \(-0.395146\pi\) |
0.154258 | + | 0.988031i | \(0.450701\pi\) | |||||||
\(158\) | 3.33748 | + | 4.76641i | 0.265515 | + | 0.379195i | ||||
\(159\) | −4.22820 | − | 2.44115i | −0.335318 | − | 0.193596i | ||||
\(160\) | 14.2241 | − | 4.65260i | 1.12451 | − | 0.367820i | ||||
\(161\) | −10.9247 | + | 3.97628i | −0.860989 | + | 0.313375i | ||||
\(162\) | −4.13748 | + | 8.87285i | −0.325071 | + | 0.697117i | ||||
\(163\) | 0.798670 | + | 0.214003i | 0.0625567 | + | 0.0167620i | 0.289962 | − | 0.957038i | \(-0.406357\pi\) |
−0.227405 | + | 0.973800i | \(0.573024\pi\) | |||||||
\(164\) | 2.34468 | − | 4.06111i | 0.183089 | − | 0.317120i | ||||
\(165\) | −4.25080 | + | 10.5809i | −0.330925 | + | 0.823721i | ||||
\(166\) | −1.15183 | − | 1.37270i | −0.0893992 | − | 0.106542i | ||||
\(167\) | 12.4974 | − | 1.09338i | 0.967081 | − | 0.0846086i | 0.407340 | − | 0.913276i | \(-0.366456\pi\) |
0.559741 | + | 0.828668i | \(0.310901\pi\) | |||||||
\(168\) | −5.81225 | − | 4.06978i | −0.448425 | − | 0.313990i | ||||
\(169\) | −3.64422 | + | 10.0124i | −0.280325 | + | 0.770186i | ||||
\(170\) | −16.9868 | + | 11.0789i | −1.30283 | + | 0.849710i | ||||
\(171\) | 3.64123 | − | 1.84411i | 0.278452 | − | 0.141023i | ||||
\(172\) | 5.39096 | + | 5.39096i | 0.411057 | + | 0.411057i | ||||
\(173\) | 10.1904 | + | 21.8534i | 0.774764 | + | 1.66149i | 0.749679 | + | 0.661801i | \(0.230208\pi\) |
0.0250847 | + | 0.999685i | \(0.492014\pi\) | |||||||
\(174\) | −1.00616 | − | 5.70620i | −0.0762766 | − | 0.432586i | ||||
\(175\) | −20.9468 | − | 7.12066i | −1.58343 | − | 0.538272i | ||||
\(176\) | −13.1745 | + | 11.0547i | −0.993063 | + | 0.833279i | ||||
\(177\) | −2.22678 | + | 1.55921i | −0.167375 | + | 0.117197i | ||||
\(178\) | 4.22540 | + | 15.7694i | 0.316707 | + | 1.18197i | ||||
\(179\) | 10.9968 | + | 19.0471i | 0.821942 | + | 1.42365i | 0.904234 | + | 0.427037i | \(0.140443\pi\) |
−0.0822924 | + | 0.996608i | \(0.526224\pi\) | |||||||
\(180\) | −1.75209 | + | 2.33463i | −0.130593 | + | 0.174013i | ||||
\(181\) | −3.89772 | − | 10.7089i | −0.289715 | − | 0.795986i | −0.996106 | − | 0.0881640i | \(-0.971900\pi\) |
0.706391 | − | 0.707822i | \(-0.250322\pi\) | |||||||
\(182\) | 3.23091 | − | 12.0579i | 0.239491 | − | 0.893792i | ||||
\(183\) | 14.4670 | − | 3.87642i | 1.06943 | − | 0.286553i | ||||
\(184\) | −0.509296 | + | 2.88836i | −0.0375458 | + | 0.212933i | ||||
\(185\) | −2.42059 | − | 4.53097i | −0.177965 | − | 0.333124i | ||||
\(186\) | 11.5956 | − | 13.8191i | 0.850230 | − | 1.01326i | ||||
\(187\) | 10.0238 | − | 14.3155i | 0.733014 | − | 1.04685i | ||||
\(188\) | −7.84075 | + | 3.65620i | −0.571846 | + | 0.266656i | ||||
\(189\) | 25.0211 | 1.82002 | ||||||||
\(190\) | −17.3469 | + | 4.63920i | −1.25848 | + | 0.336563i | ||||
\(191\) | −9.67077 | −0.699752 | −0.349876 | − | 0.936796i | \(-0.613776\pi\) | ||||
−0.349876 | + | 0.936796i | \(0.613776\pi\) | |||||||
\(192\) | 3.43830 | − | 1.60331i | 0.248138 | − | 0.115709i | ||||
\(193\) | 7.75033 | − | 11.0686i | 0.557881 | − | 0.796737i | −0.436820 | − | 0.899549i | \(-0.643895\pi\) |
0.994701 | + | 0.102812i | \(0.0327841\pi\) | |||||||
\(194\) | 5.49505 | − | 6.54875i | 0.394522 | − | 0.470173i | ||||
\(195\) | −4.70683 | − | 1.42892i | −0.337063 | − | 0.102327i | ||||
\(196\) | 3.04513 | − | 17.2698i | 0.217509 | − | 1.23356i | ||||
\(197\) | −17.5116 | + | 4.69221i | −1.24765 | + | 0.334306i | −0.821427 | − | 0.570313i | \(-0.806822\pi\) |
−0.426220 | + | 0.904619i | \(0.640155\pi\) | |||||||
\(198\) | 1.58498 | − | 5.91521i | 0.112639 | − | 0.420376i | ||||
\(199\) | 5.21800 | + | 14.3363i | 0.369894 | + | 1.01628i | 0.975401 | + | 0.220436i | \(0.0707479\pi\) |
−0.605507 | + | 0.795840i | \(0.707030\pi\) | |||||||
\(200\) | −4.19789 | + | 3.67822i | −0.296836 | + | 0.260089i | ||||
\(201\) | −2.06904 | − | 3.58368i | −0.145939 | − | 0.252773i | ||||
\(202\) | 3.19036 | + | 11.9066i | 0.224473 | + | 0.837745i | ||||
\(203\) | −7.93557 | + | 5.55655i | −0.556968 | + | 0.389993i | ||||
\(204\) | −7.55247 | + | 6.33727i | −0.528778 | + | 0.443698i | ||||
\(205\) | −0.901985 | + | 7.46730i | −0.0629974 | + | 0.521539i | ||||
\(206\) | −4.02417 | − | 22.8222i | −0.280377 | − | 1.59010i | ||||
\(207\) | −1.03975 | − | 2.22976i | −0.0722679 | − | 0.154979i | ||||
\(208\) | −5.24594 | − | 5.24594i | −0.363741 | − | 0.363741i | ||||
\(209\) | 12.3804 | − | 9.28199i | 0.856372 | − | 0.642049i | ||||
\(210\) | −25.6237 | − | 5.39390i | −1.76820 | − | 0.372214i | ||||
\(211\) | 5.24953 | − | 14.4230i | 0.361393 | − | 0.992918i | −0.617145 | − | 0.786850i | \(-0.711711\pi\) |
0.978538 | − | 0.206069i | \(-0.0660671\pi\) | |||||||
\(212\) | −3.88119 | − | 2.71764i | −0.266561 | − | 0.186648i | ||||
\(213\) | 6.15746 | − | 0.538708i | 0.421902 | − | 0.0369117i | ||||
\(214\) | 14.6795 | + | 17.4943i | 1.00347 | + | 1.19589i | ||||
\(215\) | −11.3471 | − | 4.55863i | −0.773866 | − | 0.310896i | ||||
\(216\) | 3.15611 | − | 5.46654i | 0.214746 | − | 0.371951i | ||||
\(217\) | −29.1331 | − | 7.80620i | −1.97769 | − | 0.529919i | ||||
\(218\) | 9.02061 | − | 19.3448i | 0.610953 | − | 1.31019i | ||||
\(219\) | −17.7412 | + | 6.45725i | −1.19884 | + | 0.436341i | ||||
\(220\) | −5.00446 | + | 9.86968i | −0.337401 | + | 0.665413i | ||||
\(221\) | 6.52878 | + | 3.76939i | 0.439173 | + | 0.253557i | ||||
\(222\) | −3.48733 | − | 4.98043i | −0.234055 | − | 0.334265i | ||||
\(223\) | −16.2183 | − | 1.41892i | −1.08606 | − | 0.0950179i | −0.469961 | − | 0.882687i | \(-0.655732\pi\) |
−0.616098 | + | 0.787669i | \(0.711288\pi\) | |||||||
\(224\) | −22.6861 | − | 19.0359i | −1.51578 | − | 1.27189i | ||||
\(225\) | 1.11480 | − | 4.54724i | 0.0743201 | − | 0.303149i | ||||
\(226\) | 22.4062 | + | 8.15520i | 1.49044 | + | 0.542476i | ||||
\(227\) | −11.7879 | + | 11.7879i | −0.782393 | + | 0.782393i | −0.980234 | − | 0.197841i | \(-0.936607\pi\) |
0.197841 | + | 0.980234i | \(0.436607\pi\) | |||||||
\(228\) | −8.10168 | + | 3.25030i | −0.536547 | + | 0.215256i | ||||
\(229\) | − | 15.2871i | − | 1.01020i | −0.863061 | − | 0.505100i | \(-0.831456\pi\) | ||
0.863061 | − | 0.505100i | \(-0.168544\pi\) | |||||||
\(230\) | 2.45552 | + | 10.5415i | 0.161912 | + | 0.695087i | ||||
\(231\) | 22.2215 | − | 3.91825i | 1.46207 | − | 0.257802i | ||||
\(232\) | 0.213003 | + | 2.43463i | 0.0139843 | + | 0.159841i | ||||
\(233\) | 0.724390 | − | 8.27981i | 0.0474563 | − | 0.542428i | −0.934837 | − | 0.355078i | \(-0.884454\pi\) |
0.982293 | − | 0.187351i | \(-0.0599901\pi\) | |||||||
\(234\) | 2.60158 | + | 0.458729i | 0.170071 | + | 0.0299880i | ||||
\(235\) | 9.26484 | − | 10.3304i | 0.604372 | − | 0.673880i | ||||
\(236\) | −2.28465 | + | 1.31904i | −0.148718 | + | 0.0858623i | ||||
\(237\) | −4.11203 | − | 1.91747i | −0.267105 | − | 0.124553i | ||||
\(238\) | 36.3715 | + | 16.9603i | 2.35761 | + | 1.09937i | ||||
\(239\) | 12.7842 | − | 7.38094i | 0.826938 | − | 0.477433i | −0.0258648 | − | 0.999665i | \(-0.508234\pi\) |
0.852803 | + | 0.522232i | \(0.174901\pi\) | |||||||
\(240\) | −10.3903 | + | 11.5853i | −0.670691 | + | 0.747826i | ||||
\(241\) | −9.86754 | − | 1.73991i | −0.635624 | − | 0.112078i | −0.153455 | − | 0.988156i | \(-0.549040\pi\) |
−0.482170 | + | 0.876078i | \(0.660151\pi\) | |||||||
\(242\) | 0.257164 | − | 2.93940i | 0.0165311 | − | 0.188952i | ||||
\(243\) | 0.813197 | + | 9.29488i | 0.0521666 | + | 0.596267i | ||||
\(244\) | 14.3140 | − | 2.52395i | 0.916363 | − | 0.161579i | ||||
\(245\) | 6.38110 | + | 27.3940i | 0.407674 | + | 1.75014i | ||||
\(246\) | 8.90226i | 0.567587i | ||||||||
\(247\) | 4.45429 | + | 4.97136i | 0.283420 | + | 0.316320i | ||||
\(248\) | −5.38027 | + | 5.38027i | −0.341647 | + | 0.341647i | ||||
\(249\) | 1.31298 | + | 0.477887i | 0.0832070 | + | 0.0302849i | ||||
\(250\) | −8.92016 | + | 18.5659i | −0.564160 | + | 1.17421i | ||||
\(251\) | −1.57049 | − | 1.31780i | −0.0991285 | − | 0.0831787i | 0.591876 | − | 0.806029i | \(-0.298387\pi\) |
−0.691005 | + | 0.722850i | \(0.742832\pi\) | |||||||
\(252\) | 5.75416 | + | 0.503423i | 0.362478 | + | 0.0317127i | ||||
\(253\) | −5.34976 | − | 7.64025i | −0.336337 | − | 0.480338i | ||||
\(254\) | −24.5689 | − | 14.1849i | −1.54159 | − | 0.890039i | ||||
\(255\) | 7.15151 | − | 14.1040i | 0.447845 | − | 0.883229i | ||||
\(256\) | −19.7137 | + | 7.17522i | −1.23211 | + | 0.448451i | ||||
\(257\) | 1.57579 | − | 3.37930i | 0.0982952 | − | 0.210795i | −0.851011 | − | 0.525148i | \(-0.824010\pi\) |
0.949306 | + | 0.314353i | \(0.101788\pi\) | |||||||
\(258\) | −13.9801 | − | 3.74596i | −0.870364 | − | 0.233213i | ||||
\(259\) | −5.08265 | + | 8.80341i | −0.315821 | + | 0.547018i | ||||
\(260\) | −4.42953 | − | 1.77953i | −0.274708 | − | 0.110362i | ||||
\(261\) | −1.31777 | − | 1.57045i | −0.0815677 | − | 0.0972086i | ||||
\(262\) | −11.1199 | + | 0.972869i | −0.686993 | + | 0.0601041i | ||||
\(263\) | 16.3675 | + | 11.4607i | 1.00927 | + | 0.706696i | 0.956446 | − | 0.291909i | \(-0.0942903\pi\) |
0.0528196 | + | 0.998604i | \(0.483179\pi\) | |||||||
\(264\) | 1.94693 | − | 5.34913i | 0.119825 | − | 0.329216i | ||||
\(265\) | 7.43668 | + | 1.56546i | 0.456832 | + | 0.0961652i | ||||
\(266\) | 25.9280 | + | 24.2969i | 1.58975 | + | 1.48974i | ||||
\(267\) | −9.00139 | − | 9.00139i | −0.550876 | − | 0.550876i | ||||
\(268\) | −1.69716 | − | 3.63957i | −0.103670 | − | 0.222322i | ||||
\(269\) | 2.25210 | + | 12.7723i | 0.137313 | + | 0.778740i | 0.973221 | + | 0.229871i | \(0.0738304\pi\) |
−0.835908 | + | 0.548869i | \(0.815058\pi\) | |||||||
\(270\) | 2.79350 | − | 23.1267i | 0.170007 | − | 1.40744i | ||||
\(271\) | 16.0539 | − | 13.4709i | 0.975208 | − | 0.818297i | −0.00815153 | − | 0.999967i | \(-0.502595\pi\) |
0.983360 | + | 0.181670i | \(0.0581503\pi\) | |||||||
\(272\) | 19.5371 | − | 13.6800i | 1.18461 | − | 0.829473i | ||||
\(273\) | 2.51929 | + | 9.40212i | 0.152474 | + | 0.569042i | ||||
\(274\) | −1.90310 | − | 3.29627i | −0.114971 | − | 0.199135i | ||||
\(275\) | 1.16857 | − | 17.7109i | 0.0704676 | − | 1.06800i | ||||
\(276\) | 1.79965 | + | 4.94449i | 0.108326 | + | 0.297623i | ||||
\(277\) | −1.74816 | + | 6.52420i | −0.105036 | + | 0.392001i | −0.998349 | − | 0.0574339i | \(-0.981708\pi\) |
0.893313 | + | 0.449435i | \(0.148375\pi\) | |||||||
\(278\) | −14.6744 | + | 3.93200i | −0.880113 | + | 0.235826i | ||||
\(279\) | 1.10833 | − | 6.28568i | 0.0663543 | − | 0.376314i | ||||
\(280\) | 10.5683 | + | 3.20838i | 0.631578 | + | 0.191737i | ||||
\(281\) | −6.33637 | + | 7.55139i | −0.377996 | + | 0.450478i | −0.921181 | − | 0.389135i | \(-0.872774\pi\) |
0.543184 | + | 0.839613i | \(0.317218\pi\) | |||||||
\(282\) | 9.42018 | − | 13.4534i | 0.560963 | − | 0.801139i | ||||
\(283\) | 29.1570 | − | 13.5961i | 1.73320 | − | 0.808205i | 0.742877 | − | 0.669428i | \(-0.233461\pi\) |
0.990324 | − | 0.138777i | \(-0.0443172\pi\) | |||||||
\(284\) | 5.99837 | 0.355938 | ||||||||
\(285\) | 9.90534 | − | 9.89586i | 0.586742 | − | 0.586180i | ||||
\(286\) | 10.0149 | 0.592193 | ||||||||
\(287\) | 13.4894 | − | 6.29023i | 0.796257 | − | 0.371301i | ||||
\(288\) | 3.59464 | − | 5.13367i | 0.211816 | − | 0.302505i | ||||
\(289\) | −4.65112 | + | 5.54299i | −0.273595 | + | 0.326058i | ||||
\(290\) | 4.24987 | + | 7.95511i | 0.249561 | + | 0.467140i | ||||
\(291\) | −1.15752 | + | 6.56461i | −0.0678549 | + | 0.384824i | ||||
\(292\) | −17.6977 | + | 4.74207i | −1.03568 | + | 0.277509i | ||||
\(293\) | −5.95902 | + | 22.2394i | −0.348130 | + | 1.29924i | 0.540784 | + | 0.841162i | \(0.318128\pi\) |
−0.888913 | + | 0.458076i | \(0.848539\pi\) | |||||||
\(294\) | 11.3860 | + | 31.2829i | 0.664047 | + | 1.82446i | ||||
\(295\) | 2.53987 | − | 3.38433i | 0.147877 | − | 0.197043i | ||||
\(296\) | 1.28223 | + | 2.22089i | 0.0745281 | + | 0.129086i | ||||
\(297\) | 5.19542 | + | 19.3896i | 0.301469 | + | 1.12510i | ||||
\(298\) | −6.44583 | + | 4.51342i | −0.373397 | + | 0.261455i | ||||
\(299\) | 3.08217 | − | 2.58625i | 0.178246 | − | 0.149567i | ||||
\(300\) | −3.22278 | + | 9.48046i | −0.186068 | + | 0.547354i | ||||
\(301\) | 4.20200 | + | 23.8307i | 0.242199 | + | 1.37358i | ||||
\(302\) | −16.7740 | − | 35.9720i | −0.965237 | − | 2.06996i | ||||
\(303\) | −6.79645 | − | 6.79645i | −0.390446 | − | 0.390446i | ||||
\(304\) | 20.2098 | − | 6.12482i | 1.15911 | − | 0.351283i | ||||
\(305\) | −19.5273 | + | 12.7357i | −1.11813 | + | 0.729247i | ||||
\(306\) | −2.90466 | + | 7.98047i | −0.166048 | + | 0.456213i | ||||
\(307\) | −3.05271 | − | 2.13753i | −0.174227 | − | 0.121995i | 0.483210 | − | 0.875504i | \(-0.339471\pi\) |
−0.657437 | + | 0.753509i | \(0.728360\pi\) | |||||||
\(308\) | 21.8144 | − | 1.90851i | 1.24299 | − | 0.108747i | ||||
\(309\) | 11.6152 | + | 13.8425i | 0.660765 | + | 0.787470i | ||||
\(310\) | −10.4678 | + | 26.0558i | −0.594529 | + | 1.47987i | ||||
\(311\) | −6.16899 | + | 10.6850i | −0.349812 | + | 0.605891i | −0.986216 | − | 0.165464i | \(-0.947088\pi\) |
0.636404 | + | 0.771356i | \(0.280421\pi\) | |||||||
\(312\) | 2.37192 | + | 0.635555i | 0.134284 | + | 0.0359812i | ||||
\(313\) | 6.60915 | − | 14.1734i | 0.373571 | − | 0.801126i | −0.626198 | − | 0.779664i | \(-0.715390\pi\) |
0.999770 | − | 0.0214623i | \(-0.00683220\pi\) | |||||||
\(314\) | −10.4027 | + | 3.78628i | −0.587059 | + | 0.213672i | ||||
\(315\) | −8.80562 | + | 2.88025i | −0.496141 | + | 0.162284i | ||||
\(316\) | −3.81318 | − | 2.20154i | −0.214508 | − | 0.123846i | ||||
\(317\) | 13.7178 | + | 19.5910i | 0.770466 | + | 1.10034i | 0.992129 | + | 0.125217i | \(0.0399626\pi\) |
−0.221663 | + | 0.975123i | \(0.571148\pi\) | |||||||
\(318\) | 8.96046 | + | 0.783939i | 0.502478 | + | 0.0439611i | ||||
\(319\) | −5.95368 | − | 4.99573i | −0.333342 | − | 0.279707i | ||||
\(320\) | −4.31091 | + | 4.03585i | −0.240987 | + | 0.225611i | ||||
\(321\) | −16.7333 | − | 6.09043i | −0.933962 | − | 0.339935i | ||||
\(322\) | 15.1451 | − | 15.1451i | 0.844002 | − | 0.844002i | ||||
\(323\) | −18.2258 | + | 11.3270i | −1.01411 | + | 0.630249i | ||||
\(324\) | − | 7.40827i | − | 0.411570i | ||||||
\(325\) | 7.65496 | − | 0.163698i | 0.424621 | − | 0.00908033i | ||||
\(326\) | −1.50016 | + | 0.264518i | −0.0830860 | + | 0.0146503i | ||||
\(327\) | 1.45056 | + | 16.5800i | 0.0802164 | + | 0.916878i | ||||
\(328\) | 0.327258 | − | 3.74057i | 0.0180698 | − | 0.206539i | ||||
\(329\) | −27.0419 | − | 4.76822i | −1.49087 | − | 0.262880i | ||||
\(330\) | −1.14065 | − | 20.9765i | −0.0627906 | − | 1.15472i | ||||
\(331\) | 7.63848 | − | 4.41008i | 0.419849 | − | 0.242400i | −0.275164 | − | 0.961397i | \(-0.588732\pi\) |
0.695013 | + | 0.718997i | \(0.255399\pi\) | |||||||
\(332\) | 1.22892 | + | 0.573057i | 0.0674460 | + | 0.0314506i | ||||
\(333\) | −1.94964 | − | 0.909130i | −0.106839 | − | 0.0498200i | ||||
\(334\) | −20.0156 | + | 11.5560i | −1.09521 | + | 0.632318i | ||||
\(335\) | 4.79522 | + | 4.30061i | 0.261991 | + | 0.234967i | ||||
\(336\) | 30.3269 | + | 5.34744i | 1.65447 | + | 0.291727i | ||||
\(337\) | −0.0238979 | + | 0.273154i | −0.00130180 | + | 0.0148796i | −0.996818 | − | 0.0797135i | \(-0.974599\pi\) |
0.995516 | + | 0.0945931i | \(0.0301550\pi\) | |||||||
\(338\) | −1.71085 | − | 19.5551i | −0.0930577 | − | 1.06365i | ||||
\(339\) | −18.3100 | + | 3.22854i | −0.994461 | + | 0.175350i | ||||
\(340\) | 8.10675 | − | 13.0304i | 0.439650 | − | 0.706672i | ||||
\(341\) | − | 24.1970i | − | 1.31034i | ||||||
\(342\) | −4.64394 | + | 5.91414i | −0.251116 | + | 0.319800i | ||||
\(343\) | 17.4555 | − | 17.4555i | 0.942509 | − | 0.942509i | ||||
\(344\) | 5.73649 | + | 2.08791i | 0.309291 | + | 0.112573i | ||||
\(345\) | −5.76801 | − | 6.16113i | −0.310539 | − | 0.331704i | ||||
\(346\) | −34.0298 | − | 28.5544i | −1.82946 | − | 1.53510i | ||||
\(347\) | −11.2290 | − | 0.982411i | −0.602805 | − | 0.0527386i | −0.218331 | − | 0.975875i | \(-0.570061\pi\) |
−0.384473 | + | 0.923136i | \(0.625617\pi\) | |||||||
\(348\) | 2.51487 | + | 3.59161i | 0.134811 | + | 0.192530i | ||||
\(349\) | −20.6735 | − | 11.9359i | −1.10663 | − | 0.638912i | −0.168675 | − | 0.985672i | \(-0.553949\pi\) |
−0.937954 | + | 0.346759i | \(0.887282\pi\) | |||||||
\(350\) | 40.5189 | − | 4.41970i | 2.16583 | − | 0.236243i | ||||
\(351\) | −8.13710 | + | 2.96166i | −0.434327 | + | 0.158082i | ||||
\(352\) | 10.0409 | − | 21.5328i | 0.535182 | − | 1.14770i | ||||
\(353\) | 10.2142 | + | 2.73689i | 0.543648 | + | 0.145670i | 0.520183 | − | 0.854055i | \(-0.325864\pi\) |
0.0234648 | + | 0.999725i | \(0.492530\pi\) | |||||||
\(354\) | 2.50406 | − | 4.33716i | 0.133089 | − | 0.230517i | ||||
\(355\) | −8.84893 | + | 3.77668i | −0.469652 | + | 0.200445i | ||||
\(356\) | −7.94087 | − | 9.46356i | −0.420865 | − | 0.501568i | ||||
\(357\) | −31.1733 | + | 2.72731i | −1.64987 | + | 0.144345i | ||||
\(358\) | −33.1913 | − | 23.2408i | −1.75421 | − | 1.22831i | ||||
\(359\) | 9.08655 | − | 24.9651i | 0.479570 | − | 1.31761i | −0.430290 | − | 0.902691i | \(-0.641589\pi\) |
0.909860 | − | 0.414916i | \(-0.136189\pi\) | |||||||
\(360\) | −0.481453 | + | 2.28714i | −0.0253748 | + | 0.120543i | ||||
\(361\) | −18.4579 | + | 4.50640i | −0.971466 | + | 0.237179i | ||||
\(362\) | 14.8459 | + | 14.8459i | 0.780281 | + | 0.780281i | ||||
\(363\) | 0.972335 | + | 2.08518i | 0.0510343 | + | 0.109443i | ||||
\(364\) | 1.64032 | + | 9.30270i | 0.0859760 | + | 0.487594i | ||||
\(365\) | 23.1223 | − | 18.1383i | 1.21028 | − | 0.949405i | ||||
\(366\) | −21.1374 | + | 17.7363i | −1.10487 | + | 0.927094i | ||||
\(367\) | 17.7491 | − | 12.4280i | 0.926494 | − | 0.648738i | −0.00980114 | − | 0.999952i | \(-0.503120\pi\) |
0.936295 | + | 0.351214i | \(0.114231\pi\) | |||||||
\(368\) | −3.29452 | − | 12.2953i | −0.171739 | − | 0.640939i | ||||
\(369\) | 1.57487 | + | 2.72776i | 0.0819847 | + | 0.142002i | ||||
\(370\) | 7.56942 | + | 5.68069i | 0.393515 | + | 0.295325i | ||||
\(371\) | −5.14347 | − | 14.1316i | −0.267035 | − | 0.733674i | ||||
\(372\) | −3.53306 | + | 13.1855i | −0.183180 | + | 0.683639i | ||||
\(373\) | −18.5179 | + | 4.96186i | −0.958821 | + | 0.256915i | −0.704101 | − | 0.710100i | \(-0.748650\pi\) |
−0.254720 | + | 0.967015i | \(0.581983\pi\) | |||||||
\(374\) | −5.59080 | + | 31.7070i | −0.289093 | + | 1.63953i | ||||
\(375\) | −1.21473 | − | 16.0149i | −0.0627285 | − | 0.827006i | ||||
\(376\) | −4.45276 | + | 5.30659i | −0.229633 | + | 0.273666i | ||||
\(377\) | 1.92301 | − | 2.74635i | 0.0990403 | − | 0.141444i | ||||
\(378\) | −41.7776 | + | 19.4812i | −2.14881 | + | 1.00201i | ||||
\(379\) | −8.71753 | −0.447789 | −0.223895 | − | 0.974613i | \(-0.571877\pi\) | ||||
−0.223895 | + | 0.974613i | \(0.571877\pi\) | |||||||
\(380\) | 10.4131 | − | 8.72915i | 0.534182 | − | 0.447796i | ||||
\(381\) | 22.1212 | 1.13330 | ||||||||
\(382\) | 16.1472 | − | 7.52958i | 0.826165 | − | 0.385247i | ||||
\(383\) | 1.18720 | − | 1.69550i | 0.0606633 | − | 0.0866361i | −0.787674 | − | 0.616092i | \(-0.788715\pi\) |
0.848338 | + | 0.529456i | \(0.177604\pi\) | |||||||
\(384\) | 7.86757 | − | 9.37620i | 0.401490 | − | 0.478477i | ||||
\(385\) | −30.9794 | + | 16.5502i | −1.57886 | + | 0.843474i | ||||
\(386\) | −4.32276 | + | 24.5156i | −0.220023 | + | 1.24781i | ||||
\(387\) | −4.94637 | + | 1.32538i | −0.251438 | + | 0.0673726i | ||||
\(388\) | −1.67429 | + | 6.24852i | −0.0849990 | + | 0.317220i | ||||
\(389\) | 6.97523 | + | 19.1643i | 0.353658 | + | 0.971667i | 0.981185 | + | 0.193072i | \(0.0618452\pi\) |
−0.627527 | + | 0.778595i | \(0.715933\pi\) | |||||||
\(390\) | 8.97152 | − | 1.27884i | 0.454290 | − | 0.0647564i | ||||
\(391\) | 6.46740 | + | 11.2019i | 0.327070 | + | 0.566502i | ||||
\(392\) | −3.63422 | − | 13.5631i | −0.183556 | − | 0.685039i | ||||
\(393\) | 7.12978 | − | 4.99233i | 0.359650 | − | 0.251830i | ||||
\(394\) | 25.5857 | − | 21.4689i | 1.28899 | − | 1.08159i | ||||
\(395\) | 7.01140 | + | 0.846918i | 0.352782 | + | 0.0426130i | ||||
\(396\) | 0.804685 | + | 4.56359i | 0.0404369 | + | 0.229329i | ||||
\(397\) | −4.28466 | − | 9.18848i | −0.215041 | − | 0.461156i | 0.768965 | − | 0.639290i | \(-0.220772\pi\) |
−0.984006 | + | 0.178134i | \(0.942994\pi\) | |||||||
\(398\) | −19.8746 | − | 19.8746i | −0.996225 | − | 0.996225i | ||||
\(399\) | −26.9814 | − | 6.29860i | −1.35076 | − | 0.315324i | ||||
\(400\) | 9.76557 | − | 22.1678i | 0.488279 | − | 1.10839i | ||||
\(401\) | 5.50246 | − | 15.1179i | 0.274780 | − | 0.754951i | −0.723153 | − | 0.690687i | \(-0.757308\pi\) |
0.997933 | − | 0.0642633i | \(-0.0204697\pi\) | |||||||
\(402\) | 6.24488 | + | 4.37271i | 0.311466 | + | 0.218091i | ||||
\(403\) | 10.3984 | − | 0.909739i | 0.517979 | − | 0.0453173i | ||||
\(404\) | −5.99571 | − | 7.14541i | −0.298298 | − | 0.355497i | ||||
\(405\) | 4.66437 | + | 10.9288i | 0.231774 | + | 0.543058i | ||||
\(406\) | 8.92371 | − | 15.4563i | 0.442876 | − | 0.767084i | ||||
\(407\) | −7.87739 | − | 2.11074i | −0.390468 | − | 0.104626i | ||||
\(408\) | −3.33628 | + | 7.15467i | −0.165170 | + | 0.354209i | ||||
\(409\) | −0.573185 | + | 0.208622i | −0.0283422 | + | 0.0103157i | −0.356152 | − | 0.934428i | \(-0.615912\pi\) |
0.327810 | + | 0.944744i | \(0.393689\pi\) | |||||||
\(410\) | −4.30794 | − | 13.1704i | −0.212754 | − | 0.650439i | ||||
\(411\) | 2.57026 | + | 1.48394i | 0.126781 | + | 0.0731973i | ||||
\(412\) | 10.0583 | + | 14.3648i | 0.495539 | + | 0.707703i | ||||
\(413\) | −8.34136 | − | 0.729775i | −0.410452 | − | 0.0359099i | ||||
\(414\) | 3.47214 | + | 2.91348i | 0.170647 | + | 0.143190i | ||||
\(415\) | −2.17374 | − | 0.0716346i | −0.106705 | − | 0.00351640i | ||||
\(416\) | 9.63097 | + | 3.50538i | 0.472197 | + | 0.171866i | ||||
\(417\) | 8.37636 | − | 8.37636i | 0.410192 | − | 0.410192i | ||||
\(418\) | −13.4447 | + | 25.1374i | −0.657600 | + | 1.22951i | ||||
\(419\) | 31.1162i | 1.52013i | 0.649850 | + | 0.760063i | \(0.274832\pi\) | ||||
−0.649850 | + | 0.760063i | \(0.725168\pi\) | |||||||
\(420\) | 19.2980 | − | 4.49523i | 0.941644 | − | 0.219345i | ||||
\(421\) | −27.9327 | + | 4.92528i | −1.36135 | + | 0.240044i | −0.806170 | − | 0.591684i | \(-0.798463\pi\) |
−0.555184 | + | 0.831727i | \(0.687352\pi\) | |||||||
\(422\) | 2.46449 | + | 28.1692i | 0.119969 | + | 1.37126i | ||||
\(423\) | 0.506453 | − | 5.78879i | 0.0246246 | − | 0.281460i | ||||
\(424\) | −3.73621 | − | 0.658794i | −0.181446 | − | 0.0319939i | ||||
\(425\) | −3.75510 | + | 24.3269i | −0.182149 | + | 1.18003i | ||||
\(426\) | −9.86166 | + | 5.69363i | −0.477799 | + | 0.275857i | ||||
\(427\) | 41.8110 | + | 19.4968i | 2.02338 | + | 0.943516i | ||||
\(428\) | −15.6620 | − | 7.30332i | −0.757052 | − | 0.353019i | ||||
\(429\) | −6.76286 | + | 3.90454i | −0.326514 | + | 0.188513i | ||||
\(430\) | 22.4955 | − | 1.22325i | 1.08483 | − | 0.0589902i | ||||
\(431\) | −27.5436 | − | 4.85668i | −1.32673 | − | 0.233938i | −0.535022 | − | 0.844838i | \(-0.679697\pi\) |
−0.791708 | + | 0.610900i | \(0.790808\pi\) | |||||||
\(432\) | −2.38767 | + | 27.2912i | −0.114877 | + | 1.31305i | ||||
\(433\) | 1.62433 | + | 18.5662i | 0.0780604 | + | 0.892234i | 0.929751 | + | 0.368189i | \(0.120022\pi\) |
−0.851691 | + | 0.524045i | \(0.824422\pi\) | |||||||
\(434\) | 54.7213 | − | 9.64884i | 2.62671 | − | 0.463159i | ||||
\(435\) | −5.97133 | − | 3.71502i | −0.286303 | − | 0.178121i | ||||
\(436\) | 16.1516i | 0.773524i | ||||||||
\(437\) | 2.35377 | + | 11.2082i | 0.112596 | + | 0.536161i | ||||
\(438\) | 24.5948 | − | 24.5948i | 1.17518 | − | 1.17518i | ||||
\(439\) | −13.3596 | − | 4.86248i | −0.637617 | − | 0.232074i | 0.00292604 | − | 0.999996i | \(-0.499069\pi\) |
−0.640543 | + | 0.767922i | \(0.721291\pi\) | |||||||
\(440\) | −0.291841 | + | 8.85589i | −0.0139130 | + | 0.422188i | ||||
\(441\) | 9.02299 | + | 7.57119i | 0.429666 | + | 0.360533i | ||||
\(442\) | −13.8359 | − | 1.21048i | −0.658107 | − | 0.0575769i | ||||
\(443\) | −4.01515 | − | 5.73422i | −0.190765 | − | 0.272441i | 0.712364 | − | 0.701811i | \(-0.247625\pi\) |
−0.903129 | + | 0.429369i | \(0.858736\pi\) | |||||||
\(444\) | 3.98439 | + | 2.30039i | 0.189091 | + | 0.109172i | ||||
\(445\) | 17.6730 | + | 8.96115i | 0.837779 | + | 0.424799i | ||||
\(446\) | 28.1844 | − | 10.2583i | 1.33457 | − | 0.485744i | ||||
\(447\) | 2.59308 | − | 5.56088i | 0.122648 | − | 0.263021i | ||||
\(448\) | 11.2873 | + | 3.02444i | 0.533277 | + | 0.142891i | ||||
\(449\) | 8.43938 | − | 14.6174i | 0.398279 | − | 0.689839i | −0.595235 | − | 0.803552i | \(-0.702941\pi\) |
0.993514 | + | 0.113713i | \(0.0362743\pi\) | |||||||
\(450\) | 1.67907 | + | 8.46048i | 0.0791519 | + | 0.398831i | ||||
\(451\) | 7.67545 | + | 9.14725i | 0.361423 | + | 0.430727i | ||||
\(452\) | −17.9745 | + | 1.57256i | −0.845448 | + | 0.0739671i | ||||
\(453\) | 25.3517 | + | 17.7514i | 1.19113 | + | 0.834036i | ||||
\(454\) | 10.5043 | − | 28.8603i | 0.492990 | − | 1.35448i | ||||
\(455\) | −8.27697 | − | 12.6908i | −0.388030 | − | 0.594953i | ||||
\(456\) | −4.77947 | + | 5.10032i | −0.223819 | + | 0.238844i | ||||
\(457\) | −6.78033 | − | 6.78033i | −0.317170 | − | 0.317170i | 0.530509 | − | 0.847679i | \(-0.322001\pi\) |
−0.847679 | + | 0.530509i | \(0.822001\pi\) | |||||||
\(458\) | 11.9024 | + | 25.5248i | 0.556163 | + | 1.19270i | ||||
\(459\) | −4.83405 | − | 27.4153i | −0.225634 | − | 1.27964i | ||||
\(460\) | −5.05519 | − | 6.44422i | −0.235699 | − | 0.300463i | ||||
\(461\) | 21.7316 | − | 18.2350i | 1.01214 | − | 0.849287i | 0.0235214 | − | 0.999723i | \(-0.492512\pi\) |
0.988620 | + | 0.150436i | \(0.0480678\pi\) | |||||||
\(462\) | −34.0525 | + | 23.8438i | −1.58426 | + | 1.10931i | ||||
\(463\) | 4.25510 | + | 15.8802i | 0.197751 | + | 0.738017i | 0.991538 | + | 0.129821i | \(0.0414401\pi\) |
−0.793786 | + | 0.608197i | \(0.791893\pi\) | |||||||
\(464\) | −5.30341 | − | 9.18578i | −0.246205 | − | 0.426439i | ||||
\(465\) | −3.08980 | − | 21.6761i | −0.143286 | − | 1.00520i | ||||
\(466\) | 5.23708 | + | 14.3888i | 0.242603 | + | 0.666547i | ||||
\(467\) | −7.23029 | + | 26.9838i | −0.334578 | + | 1.24866i | 0.569749 | + | 0.821819i | \(0.307041\pi\) |
−0.904326 | + | 0.426842i | \(0.859626\pi\) | |||||||
\(468\) | −1.93090 | + | 0.517382i | −0.0892557 | + | 0.0239160i | ||||
\(469\) | 2.21334 | − | 12.5525i | 0.102203 | − | 0.579619i | ||||
\(470\) | −7.42632 | + | 24.4621i | −0.342550 | + | 1.12835i | ||||
\(471\) | 5.54857 | − | 6.61253i | 0.255665 | − | 0.304689i | ||||
\(472\) | −1.21160 | + | 1.73034i | −0.0557684 | + | 0.0796456i | ||||
\(473\) | −17.5946 | + | 8.20449i | −0.809000 | + | 0.377243i | ||||
\(474\) | 8.35876 | 0.383931 | ||||||||
\(475\) | −9.86564 | + | 19.4337i | −0.452667 | + | 0.891680i | ||||
\(476\) | −30.3679 | −1.39191 | ||||||||
\(477\) | 2.88428 | − | 1.34496i | 0.132062 | − | 0.0615815i | ||||
\(478\) | −15.5989 | + | 22.2776i | −0.713478 | + | 1.01895i | ||||
\(479\) | 5.94529 | − | 7.08532i | 0.271647 | − | 0.323736i | −0.612924 | − | 0.790142i | \(-0.710007\pi\) |
0.884571 | + | 0.466406i | \(0.154451\pi\) | |||||||
\(480\) | 6.24521 | − | 20.5716i | 0.285054 | − | 0.938960i | ||||
\(481\) | 0.610897 | − | 3.46457i | 0.0278545 | − | 0.157971i | ||||
\(482\) | 17.8305 | − | 4.77766i | 0.812156 | − | 0.217617i | ||||
\(483\) | −4.32251 | + | 16.1318i | −0.196681 | + | 0.734024i | ||||
\(484\) | 0.763651 | + | 2.09811i | 0.0347114 | + | 0.0953688i | ||||
\(485\) | −1.46423 | − | 10.2721i | −0.0664872 | − | 0.466433i | ||||
\(486\) | −8.59471 | − | 14.8865i | −0.389864 | − | 0.675264i | ||||
\(487\) | −4.88464 | − | 18.2297i | −0.221344 | − | 0.826067i | −0.983836 | − | 0.179070i | \(-0.942691\pi\) |
0.762492 | − | 0.646997i | \(-0.223975\pi\) | |||||||
\(488\) | 9.53355 | − | 6.67546i | 0.431564 | − | 0.302184i | ||||
\(489\) | 0.909897 | − | 0.763495i | 0.0411470 | − | 0.0345264i | ||||
\(490\) | −31.9833 | − | 40.7714i | −1.44486 | − | 1.84186i | ||||
\(491\) | 2.48979 | + | 14.1203i | 0.112362 | + | 0.637239i | 0.988022 | + | 0.154311i | \(0.0493157\pi\) |
−0.875660 | + | 0.482928i | \(0.839573\pi\) | |||||||
\(492\) | −2.84694 | − | 6.10527i | −0.128350 | − | 0.275247i | ||||
\(493\) | 7.62137 | + | 7.62137i | 0.343249 | + | 0.343249i | ||||
\(494\) | −11.3080 | − | 4.83258i | −0.508770 | − | 0.217428i | ||||
\(495\) | −4.06040 | − | 6.22567i | −0.182502 | − | 0.279823i | ||||
\(496\) | 11.2945 | − | 31.0314i | 0.507138 | − | 1.39335i | ||||
\(497\) | 15.5956 | + | 10.9202i | 0.699558 | + | 0.489836i | ||||
\(498\) | −2.56436 | + | 0.224353i | −0.114912 | + | 0.0100535i | ||||
\(499\) | 0.682333 | + | 0.813172i | 0.0305454 | + | 0.0364026i | 0.781101 | − | 0.624405i | \(-0.214658\pi\) |
−0.750555 | + | 0.660807i | \(0.770214\pi\) | |||||||
\(500\) | 0.180195 | − | 15.5854i | 0.00805855 | − | 0.696998i | ||||
\(501\) | 9.01077 | − | 15.6071i | 0.402571 | − | 0.697274i | ||||
\(502\) | 3.64827 | + | 0.977551i | 0.162830 | + | 0.0436302i | ||||
\(503\) | 1.52362 | − | 3.26741i | 0.0679348 | − | 0.145687i | −0.869408 | − | 0.494094i | \(-0.835500\pi\) |
0.937343 | + | 0.348408i | \(0.113278\pi\) | |||||||
\(504\) | 4.34613 | − | 1.58186i | 0.193592 | − | 0.0704617i | ||||
\(505\) | 13.3439 | + | 6.76606i | 0.593794 | + | 0.301086i | ||||
\(506\) | 14.8811 | + | 8.59161i | 0.661546 | + | 0.381944i | ||||
\(507\) | 8.77929 | + | 12.5381i | 0.389902 | + | 0.556838i | ||||
\(508\) | 21.3860 | + | 1.87103i | 0.948849 | + | 0.0830136i | ||||
\(509\) | −24.2515 | − | 20.3494i | −1.07493 | − | 0.901971i | −0.0794377 | − | 0.996840i | \(-0.525312\pi\) |
−0.995490 | + | 0.0948686i | \(0.969757\pi\) | |||||||
\(510\) | −0.959555 | + | 29.1176i | −0.0424898 | + | 1.28935i | ||||
\(511\) | −54.6464 | − | 19.8897i | −2.41742 | − | 0.879867i | ||||
\(512\) | 15.2798 | − | 15.2798i | 0.675277 | − | 0.675277i | ||||
\(513\) | 3.49001 | − | 24.4001i | 0.154088 | − | 1.07729i | ||||
\(514\) | 6.86930i | 0.302992i | ||||||||
\(515\) | −23.8826 | − | 14.8584i | −1.05239 | − | 0.654738i | ||||
\(516\) | 10.7857 | − | 1.90181i | 0.474813 | − | 0.0837224i | ||||
\(517\) | −1.91999 | − | 21.9456i | −0.0844413 | − | 0.965168i | ||||
\(518\) | 1.63222 | − | 18.6563i | 0.0717155 | − | 0.819712i | ||||
\(519\) | 34.1123 | + | 6.01491i | 1.49736 | + | 0.264025i | ||||
\(520\) | −3.81668 | + | 0.207541i | −0.167373 | + | 0.00910129i | ||||
\(521\) | 35.0712 | − | 20.2484i | 1.53650 | − | 0.887098i | 0.537459 | − | 0.843290i | \(-0.319384\pi\) |
0.999040 | − | 0.0438085i | \(-0.0139492\pi\) | |||||||
\(522\) | 3.42301 | + | 1.59618i | 0.149821 | + | 0.0698627i | ||||
\(523\) | 24.9322 | + | 11.6261i | 1.09021 | + | 0.508373i | 0.882737 | − | 0.469868i | \(-0.155699\pi\) |
0.207472 | + | 0.978241i | \(0.433476\pi\) | |||||||
\(524\) | 7.31507 | − | 4.22336i | 0.319560 | − | 0.184498i | ||||
\(525\) | −25.6385 | + | 18.7818i | −1.11896 | + | 0.819704i | ||||
\(526\) | −36.2520 | − | 6.39221i | −1.58066 | − | 0.278713i | ||||
\(527\) | −2.92465 | + | 33.4289i | −0.127400 | + | 1.45619i | ||||
\(528\) | 2.15323 | + | 24.6115i | 0.0937072 | + | 1.07108i | ||||
\(529\) | −15.8521 | + | 2.79515i | −0.689222 | + | 0.121528i | ||||
\(530\) | −13.6359 | + | 3.17631i | −0.592304 | + | 0.137970i | ||||
\(531\) | − | 1.77194i | − | 0.0768958i | ||||||
\(532\) | −25.5519 | − | 8.37136i | −1.10781 | − | 0.362944i | ||||
\(533\) | −3.64234 | + | 3.64234i | −0.157767 | + | 0.157767i | ||||
\(534\) | 22.0380 | + | 8.02118i | 0.953678 | + | 0.347110i | ||||
\(535\) | 27.7032 | + | 0.912946i | 1.19772 | + | 0.0394701i | ||||
\(536\) | −2.46324 | − | 2.06691i | −0.106396 | − | 0.0892767i | ||||
\(537\) | 31.4743 | + | 2.75365i | 1.35822 | + | 0.118829i | ||||
\(538\) | −13.7047 | − | 19.5724i | −0.590853 | − | 0.843825i | ||||
\(539\) | 38.6712 | + | 22.3268i | 1.66569 | + | 0.961685i | ||||
\(540\) | 5.48007 | + | 16.7539i | 0.235825 | + | 0.720973i | ||||
\(541\) | 11.1396 | − | 4.05450i | 0.478931 | − | 0.174317i | −0.0912630 | − | 0.995827i | \(-0.529090\pi\) |
0.570194 | + | 0.821510i | \(0.306868\pi\) | |||||||
\(542\) | −16.3169 | + | 34.9917i | −0.700871 | + | 1.50302i | ||||
\(543\) | −15.8131 | − | 4.23711i | −0.678606 | − | 0.181832i | ||||
\(544\) | −16.4745 | + | 28.5346i | −0.706336 | + | 1.22341i | ||||
\(545\) | −10.1693 | − | 23.8273i | −0.435607 | − | 1.02065i | ||||
\(546\) | −11.5269 | − | 13.7372i | −0.493304 | − | 0.587897i | ||||
\(547\) | 1.37232 | − | 0.120063i | 0.0586762 | − | 0.00513350i | −0.0577798 | − | 0.998329i | \(-0.518402\pi\) |
0.116456 | + | 0.993196i | \(0.462847\pi\) | |||||||
\(548\) | 2.35932 | + | 1.65201i | 0.100785 | + | 0.0705704i | ||||
\(549\) | −3.33906 | + | 9.17398i | −0.142507 | + | 0.391536i | ||||
\(550\) | 11.8384 | + | 30.4816i | 0.504790 | + | 1.29974i | ||||
\(551\) | 4.31176 | + | 8.51365i | 0.183687 | + | 0.362693i | ||||
\(552\) | 2.97920 | + | 2.97920i | 0.126803 | + | 0.126803i | ||||
\(553\) | −5.90620 | − | 12.6659i | −0.251157 | − | 0.538609i | ||||
\(554\) | −2.16081 | − | 12.2545i | −0.0918038 | − | 0.520645i | ||||
\(555\) | −7.32623 | − | 0.884945i | −0.310981 | − | 0.0375638i | ||||
\(556\) | 8.80644 | − | 7.38948i | 0.373476 | − | 0.313384i | ||||
\(557\) | −22.6324 | + | 15.8474i | −0.958966 | + | 0.671475i | −0.944532 | − | 0.328420i | \(-0.893484\pi\) |
−0.0144346 | + | 0.999896i | \(0.504595\pi\) | |||||||
\(558\) | 3.04340 | + | 11.3581i | 0.128837 | + | 0.480827i | ||||
\(559\) | −4.18729 | − | 7.25260i | −0.177103 | − | 0.306752i | ||||
\(560\) | −47.4546 | + | 6.76437i | −2.00532 | + | 0.285847i | ||||
\(561\) | −8.58635 | − | 23.5908i | −0.362516 | − | 0.996004i | ||||
\(562\) | 4.70036 | − | 17.5420i | 0.198273 | − | 0.739964i | ||||
\(563\) | −11.4662 | + | 3.07235i | −0.483241 | + | 0.129484i | −0.492211 | − | 0.870476i | \(-0.663811\pi\) |
0.00897027 | + | 0.999960i | \(0.497145\pi\) | |||||||
\(564\) | −2.15808 | + | 12.2391i | −0.0908715 | + | 0.515358i | ||||
\(565\) | 25.5262 | − | 13.6369i | 1.07390 | − | 0.573709i | ||||
\(566\) | −38.0974 | + | 45.4027i | −1.60135 | + | 1.90842i | ||||
\(567\) | 13.4869 | − | 19.2613i | 0.566396 | − | 0.808898i | ||||
\(568\) | 4.35300 | − | 2.02984i | 0.182648 | − | 0.0851700i | ||||
\(569\) | 36.4460 | 1.52789 | 0.763947 | − | 0.645279i | \(-0.223259\pi\) | ||||
0.763947 | + | 0.645279i | \(0.223259\pi\) | |||||||
\(570\) | −8.83407 | + | 24.2353i | −0.370018 | + | 1.01511i | ||||
\(571\) | 2.73728 | 0.114551 | 0.0572757 | − | 0.998358i | \(-0.481759\pi\) | ||||
0.0572757 | + | 0.998358i | \(0.481759\pi\) | |||||||
\(572\) | −6.86833 | + | 3.20276i | −0.287179 | + | 0.133914i | ||||
\(573\) | −7.96833 | + | 11.3800i | −0.332882 | + | 0.475404i | ||||
\(574\) | −17.6258 | + | 21.0056i | −0.735685 | + | 0.876755i | ||||
\(575\) | 11.5149 | + | 6.32382i | 0.480205 | + | 0.263722i | ||||
\(576\) | −0.429413 | + | 2.43532i | −0.0178922 | + | 0.101472i | ||||
\(577\) | −16.5385 | + | 4.43149i | −0.688508 | + | 0.184485i | −0.586078 | − | 0.810255i | \(-0.699329\pi\) |
−0.102431 | + | 0.994740i | \(0.532662\pi\) | |||||||
\(578\) | 3.45023 | − | 12.8764i | 0.143511 | − | 0.535589i | ||||
\(579\) | −6.63889 | − | 18.2402i | −0.275903 | − | 0.758037i | ||||
\(580\) | −5.45864 | − | 4.09660i | −0.226658 | − | 0.170102i | ||||
\(581\) | 2.15191 | + | 3.72721i | 0.0892761 | + | 0.154631i | ||||
\(582\) | −3.17845 | − | 11.8621i | −0.131751 | − | 0.491701i | ||||
\(583\) | 9.88295 | − | 6.92012i | 0.409310 | − | 0.286602i | ||||
\(584\) | −11.2384 | + | 9.43015i | −0.465049 | + | 0.390223i | ||||
\(585\) | 2.52275 | − | 1.97898i | 0.104303 | − | 0.0818206i | ||||
\(586\) | −7.36564 | − | 41.7726i | −0.304272 | − | 1.72561i | ||||
\(587\) | 1.51219 | + | 3.24291i | 0.0624148 | + | 0.133849i | 0.935041 | − | 0.354540i | \(-0.115363\pi\) |
−0.872626 | + | 0.488389i | \(0.837585\pi\) | |||||||
\(588\) | −17.8129 | − | 17.8129i | −0.734592 | − | 0.734592i | ||||
\(589\) | −11.6760 | + | 27.3212i | −0.481101 | + | 1.12575i | ||||
\(590\) | −1.60580 | + | 7.62833i | −0.0661097 | + | 0.314053i | ||||
\(591\) | −8.90733 | + | 24.4727i | −0.366399 | + | 1.00667i | ||||
\(592\) | −9.11710 | − | 6.38386i | −0.374710 | − | 0.262375i | ||||
\(593\) | 23.4296 | − | 2.04982i | 0.962138 | − | 0.0841762i | 0.404749 | − | 0.914428i | \(-0.367359\pi\) |
0.557389 | + | 0.830252i | \(0.311803\pi\) | |||||||
\(594\) | −23.7713 | − | 28.3296i | −0.975350 | − | 1.16238i | ||||
\(595\) | 44.7994 | − | 19.1201i | 1.83660 | − | 0.783849i | ||||
\(596\) | 2.97724 | − | 5.15673i | 0.121952 | − | 0.211228i | ||||
\(597\) | 21.1695 | + | 5.67235i | 0.866410 | + | 0.232154i | ||||
\(598\) | −3.13265 | + | 6.71800i | −0.128104 | + | 0.274719i | ||||
\(599\) | −18.8495 | + | 6.86065i | −0.770169 | + | 0.280319i | −0.697067 | − | 0.717006i | \(-0.745512\pi\) |
−0.0731021 | + | 0.997324i | \(0.523290\pi\) | |||||||
\(600\) | 0.869403 | + | 7.97052i | 0.0354932 | + | 0.325395i | ||||
\(601\) | 24.9750 | + | 14.4193i | 1.01875 | + | 0.588176i | 0.913742 | − | 0.406295i | \(-0.133179\pi\) |
0.105009 | + | 0.994471i | \(0.466513\pi\) | |||||||
\(602\) | −25.5704 | − | 36.5184i | −1.04217 | − | 1.48838i | ||||
\(603\) | 2.68707 | + | 0.235088i | 0.109426 | + | 0.00957354i | ||||
\(604\) | 23.0076 | + | 19.3057i | 0.936168 | + | 0.785538i | ||||
\(605\) | −2.44756 | − | 2.61438i | −0.0995076 | − | 0.106290i | ||||
\(606\) | 16.6397 | + | 6.05634i | 0.675940 | + | 0.246022i | ||||
\(607\) | 18.7707 | − | 18.7707i | 0.761880 | − | 0.761880i | −0.214782 | − | 0.976662i | \(-0.568904\pi\) |
0.976662 | + | 0.214782i | \(0.0689042\pi\) | |||||||
\(608\) | −21.7278 | + | 19.4679i | −0.881177 | + | 0.789526i | ||||
\(609\) | 13.9165i | 0.563923i | ||||||||
\(610\) | 22.6886 | − | 36.4686i | 0.918636 | − | 1.47657i | ||||
\(611\) | 9.35869 | − | 1.65019i | 0.378612 | − | 0.0667595i | ||||
\(612\) | −0.560103 | − | 6.40201i | −0.0226408 | − | 0.258786i | ||||
\(613\) | −1.84410 | + | 21.0781i | −0.0744823 | + | 0.851337i | 0.863431 | + | 0.504467i | \(0.168311\pi\) |
−0.937913 | + | 0.346870i | \(0.887245\pi\) | |||||||
\(614\) | 6.76136 | + | 1.19221i | 0.272866 | + | 0.0481137i | ||||
\(615\) | 8.04384 | + | 7.21415i | 0.324359 | + | 0.290903i | ||||
\(616\) | 15.1848 | − | 8.76693i | 0.611812 | − | 0.353230i | ||||
\(617\) | −8.70269 | − | 4.05813i | −0.350357 | − | 0.163374i | 0.239470 | − | 0.970904i | \(-0.423026\pi\) |
−0.589827 | + | 0.807530i | \(0.700804\pi\) | |||||||
\(618\) | −30.1715 | − | 14.0692i | −1.21367 | − | 0.565946i | ||||
\(619\) | 7.50172 | − | 4.33112i | 0.301519 | − | 0.174082i | −0.341606 | − | 0.939843i | \(-0.610971\pi\) |
0.643125 | + | 0.765761i | \(0.277637\pi\) | |||||||
\(620\) | −1.15372 | − | 21.2170i | −0.0463346 | − | 0.852094i | ||||
\(621\) | −14.6317 | − | 2.57996i | −0.587148 | − | 0.103530i | ||||
\(622\) | 1.98108 | − | 22.6439i | 0.0794341 | − | 0.907936i | ||||
\(623\) | −3.41744 | − | 39.0615i | −0.136917 | − | 1.56497i | ||||
\(624\) | −10.4955 | + | 1.85065i | −0.420158 | + | 0.0740852i | ||||
\(625\) | 9.54697 | + | 23.1053i | 0.381879 | + | 0.924212i | ||||
\(626\) | 28.8110i | 1.15152i | ||||||||
\(627\) | −0.721488 | − | 22.2165i | −0.0288135 | − | 0.887241i | ||||
\(628\) | 5.92345 | − | 5.92345i | 0.236371 | − | 0.236371i | ||||
\(629\) | 10.6277 | + | 3.86818i | 0.423756 | + | 0.154234i | ||||
\(630\) | 12.4602 | − | 11.6651i | 0.496425 | − | 0.464750i | ||||
\(631\) | 26.3688 | + | 22.1260i | 1.04972 | + | 0.880823i | 0.993064 | − | 0.117571i | \(-0.0375108\pi\) |
0.0566590 | + | 0.998394i | \(0.481955\pi\) | |||||||
\(632\) | −3.51220 | − | 0.307278i | −0.139708 | − | 0.0122229i | ||||
\(633\) | −12.6466 | − | 18.0613i | −0.502659 | − | 0.717871i | ||||
\(634\) | −38.1579 | − | 22.0305i | −1.51544 | − | 0.874942i | ||||
\(635\) | −32.7271 | + | 10.7048i | −1.29874 | + | 0.424806i | ||||
\(636\) | −6.39589 | + | 2.32791i | −0.253613 | + | 0.0923078i | ||||
\(637\) | −8.14076 | + | 17.4579i | −0.322549 | + | 0.691708i | ||||
\(638\) | 13.8305 | + | 3.70587i | 0.547554 | + | 0.146717i | ||||
\(639\) | −2.01449 | + | 3.48920i | −0.0796919 | + | 0.138030i | ||||
\(640\) | −7.10234 | + | 17.6788i | −0.280745 | + | 0.698816i | ||||
\(641\) | −30.8378 | − | 36.7510i | −1.21802 | − | 1.45158i | −0.854068 | − | 0.520161i | \(-0.825872\pi\) |
−0.363951 | − | 0.931418i | \(-0.618573\pi\) | |||||||
\(642\) | 32.6815 | − | 2.85926i | 1.28984 | − | 0.112846i | ||||
\(643\) | −3.43496 | − | 2.40519i | −0.135462 | − | 0.0948513i | 0.503882 | − | 0.863773i | \(-0.331905\pi\) |
−0.639343 | + | 0.768921i | \(0.720794\pi\) | |||||||
\(644\) | −5.54329 | + | 15.2301i | −0.218436 | + | 0.600148i | ||||
\(645\) | −14.7139 | + | 9.59643i | −0.579358 | + | 0.377859i | ||||
\(646\) | 21.6125 | − | 33.1031i | 0.850334 | − | 1.30242i | ||||
\(647\) | −16.6468 | − | 16.6468i | −0.654452 | − | 0.654452i | 0.299610 | − | 0.954062i | \(-0.403144\pi\) |
−0.954062 | + | 0.299610i | \(0.903144\pi\) | |||||||
\(648\) | −2.50694 | − | 5.37615i | −0.0984820 | − | 0.211195i | ||||
\(649\) | −1.16649 | − | 6.61549i | −0.0457887 | − | 0.259681i | ||||
\(650\) | −12.6540 | + | 6.23342i | −0.496331 | + | 0.244495i | ||||
\(651\) | −33.1904 | + | 27.8500i | −1.30083 | + | 1.09153i | ||||
\(652\) | 0.944232 | − | 0.661158i | 0.0369790 | − | 0.0258930i | ||||
\(653\) | −1.83108 | − | 6.83370i | −0.0716559 | − | 0.267423i | 0.920798 | − | 0.390039i | \(-0.127538\pi\) |
−0.992454 | + | 0.122616i | \(0.960872\pi\) | |||||||
\(654\) | −15.3311 | − | 26.5542i | −0.599493 | − | 1.03835i | ||||
\(655\) | −8.13225 | + | 10.8361i | −0.317753 | + | 0.423400i | ||||
\(656\) | 5.57368 | + | 15.3135i | 0.217615 | + | 0.597894i | ||||
\(657\) | 3.18515 | − | 11.8871i | 0.124264 | − | 0.463761i | ||||
\(658\) | 48.8643 | − | 13.0931i | 1.90493 | − | 0.510424i | ||||
\(659\) | −3.04945 | + | 17.2943i | −0.118790 | + | 0.673689i | 0.866014 | + | 0.500019i | \(0.166674\pi\) |
−0.984804 | + | 0.173670i | \(0.944437\pi\) | |||||||
\(660\) | 7.49054 | + | 14.0212i | 0.291569 | + | 0.545773i | ||||
\(661\) | 29.9904 | − | 35.7412i | 1.16649 | − | 1.39017i | 0.261250 | − | 0.965271i | \(-0.415865\pi\) |
0.905241 | − | 0.424899i | \(-0.139690\pi\) | |||||||
\(662\) | −9.32029 | + | 13.3108i | −0.362243 | + | 0.517337i | ||||
\(663\) | 9.81504 | − | 4.57683i | 0.381185 | − | 0.177749i | ||||
\(664\) | 1.08575 | 0.0421352 | ||||||||
\(665\) | 42.9654 | − | 3.73826i | 1.66613 | − | 0.144964i | ||||
\(666\) | 3.96314 | 0.153569 | ||||||||
\(667\) | 5.21345 | − | 2.43107i | 0.201865 | − | 0.0941314i | ||||
\(668\) | 10.0313 | − | 14.3262i | 0.388124 | − | 0.554299i | ||||
\(669\) | −15.0329 | + | 17.9156i | −0.581207 | + | 0.692656i | ||||
\(670\) | −11.3550 | − | 3.44719i | −0.438681 | − | 0.133177i | ||||
\(671\) | −6.42692 | + | 36.4489i | −0.248109 | + | 1.40709i | ||||
\(672\) | −41.0928 | + | 11.0108i | −1.58519 | + | 0.424750i | ||||
\(673\) | 2.84741 | − | 10.6267i | 0.109759 | − | 0.409628i | −0.889082 | − | 0.457748i | \(-0.848656\pi\) |
0.998842 | + | 0.0481200i | \(0.0153230\pi\) | |||||||
\(674\) | −0.172773 | − | 0.474691i | −0.00665498 | − | 0.0182844i | ||||
\(675\) | −18.6329 | − | 21.2654i | −0.717179 | − | 0.818504i | ||||
\(676\) | 7.42701 | + | 12.8640i | 0.285654 | + | 0.494767i | ||||
\(677\) | 0.890582 | + | 3.32370i | 0.0342278 | + | 0.127740i | 0.980926 | − | 0.194383i | \(-0.0622703\pi\) |
−0.946698 | + | 0.322123i | \(0.895604\pi\) | |||||||
\(678\) | 28.0584 | − | 19.6467i | 1.07758 | − | 0.754526i | ||||
\(679\) | −15.7286 | + | 13.1979i | −0.603610 | + | 0.506489i | ||||
\(680\) | 1.47358 | − | 12.1994i | 0.0565094 | − | 0.467826i | ||||
\(681\) | 4.15851 | + | 23.5841i | 0.159354 | + | 0.903744i | ||||
\(682\) | 18.8396 | + | 40.4016i | 0.721405 | + | 1.54706i | ||||
\(683\) | 9.79318 | + | 9.79318i | 0.374725 | + | 0.374725i | 0.869195 | − | 0.494470i | \(-0.164638\pi\) |
−0.494470 | + | 0.869195i | \(0.664638\pi\) | |||||||
\(684\) | 1.29353 | − | 5.54111i | 0.0494594 | − | 0.211870i | ||||
\(685\) | −4.52065 | − | 0.951618i | −0.172725 | − | 0.0363595i | ||||
\(686\) | −15.5547 | + | 42.7361i | −0.593880 | + | 1.63167i | ||||
\(687\) | −17.9889 | − | 12.5960i | −0.686319 | − | 0.480566i | ||||
\(688\) | −26.3938 | + | 2.30915i | −1.00625 | + | 0.0880357i | ||||
\(689\) | 3.34541 | + | 3.98690i | 0.127450 | + | 0.151889i | ||||
\(690\) | 14.4278 | + | 5.79629i | 0.549258 | + | 0.220661i | ||||
\(691\) | 0.178187 | − | 0.308629i | 0.00677856 | − | 0.0117408i | −0.862616 | − | 0.505859i | \(-0.831176\pi\) |
0.869395 | + | 0.494118i | \(0.164509\pi\) | |||||||
\(692\) | 32.4697 | + | 8.70024i | 1.23431 | + | 0.330733i | ||||
\(693\) | −6.21595 | + | 13.3302i | −0.236125 | + | 0.506371i | ||||
\(694\) | 19.5139 | − | 7.10249i | 0.740739 | − | 0.269607i | ||||
\(695\) | −8.33891 | + | 16.4458i | −0.316313 | + | 0.623825i | ||||
\(696\) | 3.04043 | + | 1.75539i | 0.115247 | + | 0.0665379i | ||||
\(697\) | −9.49826 | − | 13.5649i | −0.359772 | − | 0.513808i | ||||
\(698\) | 43.8117 | + | 3.83302i | 1.65830 | + | 0.145082i | ||||
\(699\) | −9.14629 | − | 7.67465i | −0.345945 | − | 0.290282i | ||||
\(700\) | −26.3749 | + | 15.9890i | −0.996879 | + | 0.604327i | ||||
\(701\) | 13.0486 | + | 4.74928i | 0.492837 | + | 0.179378i | 0.576470 | − | 0.817119i | \(-0.304430\pi\) |
−0.0836325 | + | 0.996497i | \(0.526652\pi\) | |||||||
\(702\) | 11.2806 | − | 11.2806i | 0.425757 | − | 0.425757i | ||||
\(703\) | 7.87597 | + | 6.18442i | 0.297048 | + | 0.233250i | ||||
\(704\) | 9.37489i | 0.353329i | ||||||||
\(705\) | −4.52228 | − | 19.4141i | −0.170319 | − | 0.731177i | ||||
\(706\) | −19.1856 | + | 3.38293i | −0.722058 | + | 0.127318i | ||||
\(707\) | −2.58032 | − | 29.4932i | −0.0970428 | − | 1.10920i | ||||
\(708\) | −0.330293 | + | 3.77527i | −0.0124132 | + | 0.141883i | ||||
\(709\) | −23.0076 | − | 4.05687i | −0.864070 | − | 0.152359i | −0.275989 | − | 0.961161i | \(-0.589005\pi\) |
−0.588081 | + | 0.808802i | \(0.700116\pi\) | |||||||
\(710\) | 11.8345 | − | 13.1956i | 0.444142 | − | 0.495222i | ||||
\(711\) | 2.56123 | − | 1.47873i | 0.0960535 | − | 0.0554565i | ||||
\(712\) | −8.96511 | − | 4.18050i | −0.335982 | − | 0.156671i | ||||
\(713\) | 16.2313 | + | 7.56880i | 0.607869 | + | 0.283454i | ||||
\(714\) | 49.9265 | − | 28.8251i | 1.86845 | − | 1.07875i | ||||
\(715\) | 8.11581 | − | 9.04919i | 0.303514 | − | 0.338421i | ||||
\(716\) | 30.1953 | + | 5.32425i | 1.12845 | + | 0.198977i | ||||
\(717\) | 1.84821 | − | 21.1252i | 0.0690228 | − | 0.788935i | ||||
\(718\) | 4.26584 | + | 48.7588i | 0.159200 | + | 1.81966i | ||||
\(719\) | 14.5612 | − | 2.56753i | 0.543040 | − | 0.0957526i | 0.104602 | − | 0.994514i | \(-0.466643\pi\) |
0.438438 | + | 0.898762i | \(0.355532\pi\) | |||||||
\(720\) | −2.30128 | − | 9.87937i | −0.0857636 | − | 0.368183i | ||||
\(721\) | 55.6595i | 2.07287i | ||||||||
\(722\) | 27.3104 | − | 21.8954i | 1.01639 | − | 0.814864i | ||||
\(723\) | −10.1779 | + | 10.1779i | −0.378520 | + | 0.378520i | ||||
\(724\) | −14.9292 | − | 5.43377i | −0.554838 | − | 0.201944i | ||||
\(725\) | 10.6320 | + | 2.60654i | 0.394862 | + | 0.0968044i | ||||
\(726\) | −3.24701 | − | 2.72456i | −0.120508 | − | 0.101118i | ||||
\(727\) | −23.9580 | − | 2.09606i | −0.888554 | − | 0.0777384i | −0.366269 | − | 0.930509i | \(-0.619365\pi\) |
−0.522286 | + | 0.852771i | \(0.674920\pi\) | |||||||
\(728\) | 4.33839 | + | 6.19586i | 0.160791 | + | 0.229634i | ||||
\(729\) | 25.4140 | + | 14.6728i | 0.941259 | + | 0.543436i | ||||
\(730\) | −24.4848 | + | 48.2883i | −0.906223 | + | 1.78723i | ||||
\(731\) | 25.2991 | − | 9.20813i | 0.935722 | − | 0.340575i | ||||
\(732\) | 8.82417 | − | 18.9235i | 0.326151 | − | 0.699433i | ||||
\(733\) | −29.4230 | − | 7.88388i | −1.08676 | − | 0.291198i | −0.329400 | − | 0.944190i | \(-0.606847\pi\) |
−0.757364 | + | 0.652993i | \(0.773513\pi\) | |||||||
\(734\) | −19.9592 | + | 34.5703i | −0.736707 | + | 1.27601i | ||||
\(735\) | 37.4933 | + | 15.0627i | 1.38296 | + | 0.555596i | ||||
\(736\) | 11.3034 | + | 13.4709i | 0.416649 | + | 0.496543i | ||||
\(737\) | 10.1869 | − | 0.891234i | 0.375238 | − | 0.0328290i | ||||
\(738\) | −4.75337 | − | 3.32835i | −0.174974 | − | 0.122518i | ||||
\(739\) | 5.15140 | − | 14.1534i | 0.189497 | − | 0.520640i | −0.808166 | − | 0.588954i | \(-0.799540\pi\) |
0.997664 | + | 0.0683142i | \(0.0217620\pi\) | |||||||
\(740\) | −7.00787 | − | 1.47519i | −0.257615 | − | 0.0542291i | ||||
\(741\) | 9.52014 | − | 1.14533i | 0.349731 | − | 0.0420747i | ||||
\(742\) | 19.5907 | + | 19.5907i | 0.719199 | + | 0.719199i | ||||
\(743\) | 7.40046 | + | 15.8703i | 0.271496 | + | 0.582226i | 0.994030 | − | 0.109110i | \(-0.0348001\pi\) |
−0.722533 | + | 0.691336i | \(0.757022\pi\) | |||||||
\(744\) | 1.89803 | + | 10.7643i | 0.0695853 | + | 0.394638i | ||||
\(745\) | −1.14532 | + | 9.48184i | −0.0419614 | + | 0.347388i | ||||
\(746\) | 27.0560 | − | 22.7027i | 0.990591 | − | 0.831205i | ||||
\(747\) | −0.746062 | + | 0.522398i | −0.0272970 | + | 0.0191136i | ||||
\(748\) | −6.30564 | − | 23.5330i | −0.230557 | − | 0.860450i | ||||
\(749\) | −27.4250 | − | 47.5014i | −1.00209 | − | 1.73566i | ||||
\(750\) | 14.4973 | + | 25.7942i | 0.529367 | + | 0.941872i | ||||
\(751\) | 8.77625 | + | 24.1126i | 0.320250 | + | 0.879880i | 0.990471 | + | 0.137719i | \(0.0439769\pi\) |
−0.670221 | + | 0.742161i | \(0.733801\pi\) | |||||||
\(752\) | 7.78133 | − | 29.0403i | 0.283756 | − | 1.05899i | ||||
\(753\) | −2.84472 | + | 0.762241i | −0.103668 | + | 0.0277776i | ||||
\(754\) | −1.07256 | + | 6.08281i | −0.0390605 | + | 0.221523i | ||||
\(755\) | −46.0966 | − | 13.9942i | −1.67763 | − | 0.509301i | ||||
\(756\) | 22.4215 | − | 26.7209i | 0.815462 | − | 0.971830i | ||||
\(757\) | −11.9533 | + | 17.0711i | −0.434450 | + | 0.620459i | −0.975359 | − | 0.220622i | \(-0.929191\pi\) |
0.540909 | + | 0.841081i | \(0.318080\pi\) | |||||||
\(758\) | 14.5556 | − | 6.78740i | 0.528684 | − | 0.246529i | ||||
\(759\) | −13.3986 | −0.486337 | ||||||||
\(760\) | 4.60284 | − | 9.85849i | 0.166962 | − | 0.357605i | ||||
\(761\) | −3.66132 | −0.132723 | −0.0663614 | − | 0.997796i | \(-0.521139\pi\) | ||||
−0.0663614 | + | 0.997796i | \(0.521139\pi\) | |||||||
\(762\) | −36.9357 | + | 17.2234i | −1.33804 | + | 0.623938i | ||||
\(763\) | −29.4044 | + | 41.9938i | −1.06451 | + | 1.52028i | ||||
\(764\) | −8.66601 | + | 10.3277i | −0.313525 | + | 0.373645i | ||||
\(765\) | 4.85709 | + | 9.09173i | 0.175608 | + | 0.328712i | ||||
\(766\) | −0.662164 | + | 3.75532i | −0.0239250 | + | 0.135685i | ||||
\(767\) | 2.79907 | − | 0.750009i | 0.101069 | − | 0.0270813i | ||||
\(768\) | −7.80000 | + | 29.1100i | −0.281458 | + | 1.05042i | ||||
\(769\) | −17.1222 | − | 47.0428i | −0.617441 | − | 1.69641i | −0.713164 | − | 0.700997i | \(-0.752738\pi\) |
0.0957227 | − | 0.995408i | \(-0.469484\pi\) | |||||||
\(770\) | 38.8403 | − | 51.7540i | 1.39971 | − | 1.86509i | ||||
\(771\) | −2.67815 | − | 4.63870i | −0.0964514 | − | 0.167059i | ||||
\(772\) | −4.87547 | − | 18.1955i | −0.175472 | − | 0.654870i | ||||
\(773\) | 13.9531 | − | 9.77003i | 0.501856 | − | 0.351404i | −0.295074 | − | 0.955474i | \(-0.595344\pi\) |
0.796931 | + | 0.604071i | \(0.206456\pi\) | |||||||
\(774\) | 7.22700 | − | 6.06418i | 0.259769 | − | 0.217972i | ||||
\(775\) | 15.0606 | + | 30.5733i | 0.540991 | + | 1.09823i | ||||
\(776\) | 0.899462 | + | 5.10110i | 0.0322888 | + | 0.183119i | ||||
\(777\) | 6.17140 | + | 13.2346i | 0.221398 | + | 0.474789i | ||||
\(778\) | −26.5677 | − | 26.5677i | −0.952497 | − | 0.952497i | ||||
\(779\) | −4.25256 | − | 14.0320i | −0.152364 | − | 0.502749i | ||||
\(780\) | −5.74380 | + | 3.74612i | −0.205661 | + | 0.134133i | ||||
\(781\) | −5.22405 | + | 14.3530i | −0.186931 | + | 0.513589i | ||||
\(782\) | −19.5203 | − | 13.6682i | −0.698043 | − | 0.488775i | ||||
\(783\) | −12.3332 | + | 1.07901i | −0.440752 | + | 0.0385608i | ||||
\(784\) | 39.1722 | + | 46.6836i | 1.39901 | + | 1.66727i | ||||
\(785\) | −5.00890 | + | 12.4679i | −0.178775 | + | 0.444999i | ||||
\(786\) | −8.01758 | + | 13.8869i | −0.285978 | + | 0.495328i | ||||
\(787\) | −32.8993 | − | 8.81535i | −1.17273 | − | 0.314233i | −0.380694 | − | 0.924701i | \(-0.624315\pi\) |
−0.792041 | + | 0.610468i | \(0.790981\pi\) | |||||||
\(788\) | −10.6812 | + | 22.9059i | −0.380502 | + | 0.815989i | ||||
\(789\) | 26.9724 | − | 9.81715i | 0.960243 | − | 0.349500i | ||||
\(790\) | −12.3663 | + | 4.04493i | −0.439974 | + | 0.143912i | ||||
\(791\) | −49.5960 | − | 28.6343i | −1.76343 | − | 1.01812i | ||||
\(792\) | 2.12827 | + | 3.03948i | 0.0756247 | + | 0.108003i | ||||
\(793\) | −15.9051 | − | 1.39152i | −0.564807 | − | 0.0494142i | ||||
\(794\) | 14.3081 | + | 12.0060i | 0.507777 | + | 0.426076i | ||||
\(795\) | 7.96966 | − | 7.46115i | 0.282655 | − | 0.264620i | ||||
\(796\) | 19.9861 | + | 7.27436i | 0.708389 | + | 0.257833i | ||||
\(797\) | −3.26737 | + | 3.26737i | −0.115736 | + | 0.115736i | −0.762603 | − | 0.646867i | \(-0.776079\pi\) |
0.646867 | + | 0.762603i | \(0.276079\pi\) | |||||||
\(798\) | 49.9547 | − | 10.4907i | 1.76838 | − | 0.371368i | ||||
\(799\) | 30.5507i | 1.08080i | ||||||||
\(800\) | 0.715456 | + | 33.4567i | 0.0252952 | + | 1.18287i | ||||
\(801\) | 8.17172 | − | 1.44089i | 0.288733 | − | 0.0509115i | ||||
\(802\) | 2.58323 | + | 29.5264i | 0.0912169 | + | 1.04261i | ||||
\(803\) | 4.06621 | − | 46.4770i | 0.143494 | − | 1.64014i | ||||
\(804\) | −5.68120 | − | 1.00175i | −0.200361 | − | 0.0353290i | ||||
\(805\) | −1.41152 | − | 25.9579i | −0.0497496 | − | 0.914894i | ||||
\(806\) | −16.6538 | + | 9.61507i | −0.586605 | + | 0.338676i | ||||
\(807\) | 16.8853 | + | 7.87373i | 0.594389 | + | 0.277168i | ||||
\(808\) | −6.76905 | − | 3.15646i | −0.238134 | − | 0.111044i | ||||
\(809\) | −28.5222 | + | 16.4673i | −1.00279 | + | 0.578959i | −0.909071 | − | 0.416641i | \(-0.863207\pi\) |
−0.0937143 | + | 0.995599i | \(0.529874\pi\) | |||||||
\(810\) | −16.2972 | − | 14.6162i | −0.572625 | − | 0.513561i | ||||
\(811\) | 24.2723 | + | 4.27986i | 0.852316 | + | 0.150286i | 0.582706 | − | 0.812683i | \(-0.301994\pi\) |
0.269610 | + | 0.962969i | \(0.413105\pi\) | |||||||
\(812\) | −1.17706 | + | 13.4539i | −0.0413069 | + | 0.472140i | ||||
\(813\) | −2.62385 | − | 29.9907i | −0.0920224 | − | 1.05182i | ||||
\(814\) | 14.7963 | − | 2.60898i | 0.518608 | − | 0.0914446i | ||||
\(815\) | −0.976675 | + | 1.56986i | −0.0342114 | + | 0.0549898i | ||||
\(816\) | − | 34.2618i | − | 1.19940i | ||||||
\(817\) | 23.8253 | − | 0.773735i | 0.833542 | − | 0.0270696i | ||||
\(818\) | 0.794612 | − | 0.794612i | 0.0277830 | − | 0.0277830i | ||||
\(819\) | −5.96218 | − | 2.17005i | −0.208335 | − | 0.0758278i | ||||
\(820\) | 7.16631 | + | 7.65473i | 0.250258 | + | 0.267315i | ||||
\(821\) | −32.8651 | − | 27.5771i | −1.14700 | − | 0.962446i | −0.147353 | − | 0.989084i | \(-0.547075\pi\) |
−0.999645 | + | 0.0266382i | \(0.991520\pi\) | |||||||
\(822\) | −5.44693 | − | 0.476545i | −0.189984 | − | 0.0166214i | ||||
\(823\) | −11.0868 | − | 15.8336i | −0.386462 | − | 0.551924i | 0.578038 | − | 0.816010i | \(-0.303819\pi\) |
−0.964499 | + | 0.264086i | \(0.914930\pi\) | |||||||
\(824\) | 12.1603 | + | 7.02076i | 0.423625 | + | 0.244580i | ||||
\(825\) | −19.8782 | − | 15.9681i | −0.692069 | − | 0.555939i | ||||
\(826\) | 14.4957 | − | 5.27602i | 0.504371 | − | 0.183576i | ||||
\(827\) | −11.9632 | + | 25.6551i | −0.416000 | + | 0.892115i | 0.580940 | + | 0.813946i | \(0.302685\pi\) |
−0.996940 | + | 0.0781685i | \(0.975093\pi\) | |||||||
\(828\) | −3.31296 | − | 0.887706i | −0.115133 | − | 0.0308499i | ||||
\(829\) | 8.14109 | − | 14.1008i | 0.282752 | − | 0.489741i | −0.689310 | − | 0.724467i | \(-0.742086\pi\) |
0.972062 | + | 0.234726i | \(0.0754194\pi\) | |||||||
\(830\) | 3.68526 | − | 1.57285i | 0.127917 | − | 0.0545944i | ||||
\(831\) | 6.23686 | + | 7.43280i | 0.216354 | + | 0.257841i | ||||
\(832\) | −4.02874 | + | 0.352470i | −0.139672 | + | 0.0122197i | ||||
\(833\) | −50.7269 | − | 35.5194i | −1.75758 | − | 1.23067i | ||||
\(834\) | −7.46421 | + | 20.5077i | −0.258464 | + | 0.710125i | ||||
\(835\) | −5.77841 | + | 27.4503i | −0.199970 | + | 0.949956i | ||||
\(836\) | 1.18158 | − | 21.5391i | 0.0408658 | − | 0.744946i | ||||
\(837\) | −27.2550 | − | 27.2550i | −0.942069 | − | 0.942069i | ||||
\(838\) | −24.2268 | − | 51.9546i | −0.836902 | − | 1.79474i | ||||
\(839\) | 3.24114 | + | 18.3814i | 0.111896 | + | 0.634596i | 0.988240 | + | 0.152910i | \(0.0488644\pi\) |
−0.876344 | + | 0.481686i | \(0.840024\pi\) | |||||||
\(840\) | 12.4833 | − | 9.79256i | 0.430714 | − | 0.337875i | ||||
\(841\) | −18.5434 | + | 15.5597i | −0.639427 | + | 0.536543i | ||||
\(842\) | 42.8043 | − | 29.9719i | 1.47513 | − | 1.03290i | ||||
\(843\) | 3.66509 | + | 13.6783i | 0.126232 | + | 0.471105i | ||||
\(844\) | −10.6987 | − | 18.5306i | −0.368263 | − | 0.637851i | ||||
\(845\) | −19.0558 | − | 14.3010i | −0.655541 | − | 0.491970i | ||||
\(846\) | 3.66148 | + | 10.0598i | 0.125884 | + | 0.345864i | ||||
\(847\) | −1.83419 | + | 6.84528i | −0.0630234 | + | 0.235207i | ||||
\(848\) | 15.9045 | − | 4.26159i | 0.546162 | − | 0.146344i | ||||
\(849\) | 8.02512 | − | 45.5127i | 0.275421 | − | 1.56199i | ||||
\(850\) | −12.6708 | − | 43.5421i | −0.434605 | − | 1.49348i | ||||
\(851\) | 3.87993 | − | 4.62392i | 0.133002 | − | 0.158506i | ||||
\(852\) | 4.94242 | − | 7.05851i | 0.169324 | − | 0.241820i | ||||
\(853\) | 39.5534 | − | 18.4441i | 1.35428 | − | 0.631513i | 0.396243 | − | 0.918146i | \(-0.370314\pi\) |
0.958041 | + | 0.286633i | \(0.0925360\pi\) | |||||||
\(854\) | −84.9917 | −2.90836 | ||||||||
\(855\) | 1.58053 | + | 8.98880i | 0.0540531 | + | 0.307411i | ||||
\(856\) | −13.8373 | −0.472949 | ||||||||
\(857\) | −32.1530 | + | 14.9932i | −1.09832 | + | 0.512157i | −0.885362 | − | 0.464903i | \(-0.846089\pi\) |
−0.212963 | + | 0.977060i | \(0.568311\pi\) | |||||||
\(858\) | 8.25188 | − | 11.7849i | 0.281714 | − | 0.402330i | ||||
\(859\) | −2.82588 | + | 3.36775i | −0.0964177 | + | 0.114906i | −0.812096 | − | 0.583524i | \(-0.801673\pi\) |
0.715678 | + | 0.698430i | \(0.246118\pi\) | |||||||
\(860\) | −15.0365 | + | 8.03297i | −0.512740 | + | 0.273922i | ||||
\(861\) | 3.71282 | − | 21.0564i | 0.126532 | − | 0.717601i | ||||
\(862\) | 49.7708 | − | 13.3361i | 1.69520 | − | 0.454228i | ||||
\(863\) | −1.84578 | + | 6.88853i | −0.0628310 | + | 0.234488i | −0.990199 | − | 0.139661i | \(-0.955399\pi\) |
0.927368 | + | 0.374150i | \(0.122065\pi\) | |||||||
\(864\) | −12.9442 | − | 35.5639i | −0.440371 | − | 1.20991i | ||||
\(865\) | −53.3779 | + | 7.60871i | −1.81490 | + | 0.258704i | ||||
\(866\) | −17.1676 | − | 29.7352i | −0.583380 | − | 1.01044i | ||||
\(867\) | 2.69030 | + | 10.0404i | 0.0913675 | + | 0.340988i | ||||
\(868\) | −34.4428 | + | 24.1171i | −1.16907 | + | 0.818588i | ||||
\(869\) | 8.58879 | − | 7.20685i | 0.291355 | − | 0.244476i | ||||
\(870\) | 12.8628 | + | 1.55371i | 0.436089 | + | 0.0526759i | ||||
\(871\) | 0.765994 | + | 4.34417i | 0.0259547 | + | 0.147197i | ||||
\(872\) | 5.46568 | + | 11.7212i | 0.185091 | + | 0.396930i | ||||
\(873\) | −3.07241 | − | 3.07241i | −0.103985 | − | 0.103985i | ||||
\(874\) | −12.6567 | − | 16.8816i | −0.428119 | − | 0.571030i | ||||
\(875\) | 28.8419 | − | 40.1934i | 0.975036 | − | 1.35879i | ||||
\(876\) | −9.00199 | + | 24.7328i | −0.304149 | + | 0.835643i | ||||
\(877\) | 6.45780 | + | 4.52180i | 0.218064 | + | 0.152690i | 0.677505 | − | 0.735518i | \(-0.263061\pi\) |
−0.459441 | + | 0.888208i | \(0.651950\pi\) | |||||||
\(878\) | 26.0923 | − | 2.28278i | 0.880573 | − | 0.0770401i | ||||
\(879\) | 21.2599 | + | 25.3365i | 0.717078 | + | 0.854580i | ||||
\(880\) | −15.0954 | − | 35.3694i | −0.508867 | − | 1.19230i | ||||
\(881\) | 5.25281 | − | 9.09814i | 0.176972 | − | 0.306524i | −0.763870 | − | 0.645370i | \(-0.776703\pi\) |
0.940842 | + | 0.338846i | \(0.110037\pi\) | |||||||
\(882\) | −20.9605 | − | 5.61635i | −0.705777 | − | 0.189112i | ||||
\(883\) | −16.0757 | + | 34.4744i | −0.540990 | + | 1.16016i | 0.425855 | + | 0.904792i | \(0.359973\pi\) |
−0.966845 | + | 0.255365i | \(0.917804\pi\) | |||||||
\(884\) | 9.87593 | − | 3.59454i | 0.332163 | − | 0.120898i | ||||
\(885\) | −1.88972 | − | 5.77732i | −0.0635221 | − | 0.194202i | ||||
\(886\) | 11.1687 | + | 6.44825i | 0.375219 | + | 0.216633i | ||||
\(887\) | 18.2360 | + | 26.0438i | 0.612306 | + | 0.874464i | 0.998857 | − | 0.0478044i | \(-0.0152224\pi\) |
−0.386551 | + | 0.922268i | \(0.626334\pi\) | |||||||
\(888\) | 3.66991 | + | 0.321075i | 0.123154 | + | 0.0107746i | ||||
\(889\) | 52.1967 | + | 43.7982i | 1.75062 | + | 1.46894i | ||||
\(890\) | −36.4855 | − | 1.20236i | −1.22300 | − | 0.0403033i | ||||
\(891\) | 17.7266 | + | 6.45194i | 0.593862 | + | 0.216148i | ||||
\(892\) | −16.0486 | + | 16.0486i | −0.537347 | + | 0.537347i | ||||
\(893\) | −8.42174 | + | 25.7056i | −0.281823 | + | 0.860206i | ||||
\(894\) | 11.3039i | 0.378060i | ||||||||
\(895\) | −47.8970 | + | 11.1570i | −1.60102 | + | 0.372939i | ||||
\(896\) | 37.1282 | − | 6.54671i | 1.24037 | − | 0.218710i | ||||
\(897\) | −0.503748 | − | 5.75787i | −0.0168197 | − | 0.192250i | ||||
\(898\) | −2.71018 | + | 30.9775i | −0.0904399 | + | 1.03373i | ||||
\(899\) | 14.6967 | + | 2.59142i | 0.490162 | + | 0.0864287i | ||||
\(900\) | −3.85718 | − | 5.26533i | −0.128573 | − | 0.175511i | ||||
\(901\) | −14.4900 | + | 8.36582i | −0.482733 | + | 0.278706i | ||||
\(902\) | −19.9376 | − | 9.29708i | −0.663851 | − | 0.309559i | ||||
\(903\) | 31.5047 | + | 14.6909i | 1.04841 | + | 0.488883i | ||||
\(904\) | −12.5119 | + | 7.22373i | −0.416138 | + | 0.240258i | ||||
\(905\) | 25.4450 | − | 1.38363i | 0.845821 | − | 0.0459935i | ||||
\(906\) | −56.1507 | − | 9.90089i | −1.86548 | − | 0.328935i | ||||
\(907\) | −3.87264 | + | 44.2645i | −0.128589 | + | 1.46978i | 0.608269 | + | 0.793731i | \(0.291864\pi\) |
−0.736858 | + | 0.676048i | \(0.763691\pi\) | |||||||
\(908\) | 2.02553 | + | 23.1520i | 0.0672197 | + | 0.768325i | ||||
\(909\) | 6.17001 | − | 1.08794i | 0.204646 | − | 0.0360846i | ||||
\(910\) | 23.7010 | + | 14.7454i | 0.785679 | + | 0.488804i | ||||
\(911\) | − | 30.5111i | − | 1.01088i | −0.862863 | − | 0.505438i | \(-0.831331\pi\) | ||
0.862863 | − | 0.505438i | \(-0.168669\pi\) | |||||||
\(912\) | 9.44478 | − | 28.8282i | 0.312748 | − | 0.954599i | ||||
\(913\) | −2.44150 | + | 2.44150i | −0.0808018 | + | 0.0808018i | ||||
\(914\) | 16.6002 | + | 6.04198i | 0.549086 | + | 0.199851i | ||||
\(915\) | −1.10306 | + | 33.4722i | −0.0364660 | + | 1.10656i | ||||
\(916\) | −16.3256 | − | 13.6988i | −0.539414 | − | 0.452622i | ||||
\(917\) | 26.7077 | + | 2.33662i | 0.881965 | + | 0.0771619i | ||||
\(918\) | 29.4167 | + | 42.0114i | 0.970896 | + | 1.38658i | ||||
\(919\) | 44.4140 | + | 25.6425i | 1.46508 | + | 0.845867i | 0.999239 | − | 0.0389999i | \(-0.0124172\pi\) |
0.465845 | + | 0.884867i | \(0.345751\pi\) | |||||||
\(920\) | −5.84924 | − | 2.96588i | −0.192844 | − | 0.0977823i | ||||
\(921\) | −5.03062 | + | 1.83100i | −0.165765 | + | 0.0603334i | ||||
\(922\) | −22.0875 | + | 47.3669i | −0.727415 | + | 1.55995i | ||||
\(923\) | −6.36442 | − | 1.70534i | −0.209487 | − | 0.0561320i | ||||
\(924\) | 15.7283 | − | 27.2423i | 0.517425 | − | 0.896206i | ||||
\(925\) | 11.2670 | − | 2.23604i | 0.370456 | − | 0.0735206i | ||||
\(926\) | −19.4689 | − | 23.2022i | −0.639789 | − | 0.762471i | ||||
\(927\) | −11.7338 | + | 1.02658i | −0.385390 | + | 0.0337173i | ||||
\(928\) | 12.0032 | + | 8.40470i | 0.394023 | + | 0.275898i | ||||
\(929\) | −12.0267 | + | 33.0430i | −0.394582 | + | 1.08411i | 0.570303 | + | 0.821434i | \(0.306826\pi\) |
−0.964885 | + | 0.262672i | \(0.915396\pi\) | |||||||
\(930\) | 22.0358 | + | 33.7868i | 0.722584 | + | 1.10791i | ||||
\(931\) | −32.8907 | − | 43.8700i | −1.07795 | − | 1.43778i | ||||
\(932\) | −8.19317 | − | 8.19317i | −0.268376 | − | 0.268376i | ||||
\(933\) | 7.49044 | + | 16.0633i | 0.245226 | + | 0.525889i | ||||
\(934\) | −8.93699 | − | 50.6842i | −0.292427 | − | 1.65844i | ||||
\(935\) | 24.1190 | + | 30.7462i | 0.788774 | + | 1.00551i | ||||
\(936\) | −1.22616 | + | 1.02887i | −0.0400784 | + | 0.0336298i | ||||
\(937\) | 37.3205 | − | 26.1321i | 1.21921 | − | 0.853698i | 0.226472 | − | 0.974018i | \(-0.427281\pi\) |
0.992735 | + | 0.120319i | \(0.0383918\pi\) | |||||||
\(938\) | 6.07765 | + | 22.6821i | 0.198442 | + | 0.740597i | ||||
\(939\) | −11.2326 | − | 19.4555i | −0.366564 | − | 0.634907i | ||||
\(940\) | −2.72991 | − | 19.1513i | −0.0890399 | − | 0.624648i | ||||
\(941\) | 6.71949 | + | 18.4616i | 0.219049 | + | 0.601832i | 0.999733 | − | 0.0230935i | \(-0.00735154\pi\) |
−0.780684 | + | 0.624926i | \(0.785129\pi\) | |||||||
\(942\) | −4.11597 | + | 15.3610i | −0.134105 | + | 0.500488i | ||||
\(943\) | −8.53685 | + | 2.28744i | −0.277998 | + | 0.0744894i | ||||
\(944\) | 1.59197 | − | 9.02850i | 0.0518142 | − | 0.293853i | ||||
\(945\) | −16.2528 | + | 53.5362i | −0.528702 | + | 1.74153i | ||||
\(946\) | 22.9897 | − | 27.3980i | 0.747458 | − | 0.890786i | ||||
\(947\) | 26.7171 | − | 38.1560i | 0.868190 | − | 1.23990i | −0.101320 | − | 0.994854i | \(-0.532307\pi\) |
0.969510 | − | 0.245050i | \(-0.0788045\pi\) | |||||||
\(948\) | −5.73254 | + | 2.67313i | −0.186184 | + | 0.0868191i | ||||
\(949\) | 20.1258 | 0.653312 | ||||||||
\(950\) | 1.34168 | − | 40.1297i | 0.0435300 | − | 1.30198i | ||||
\(951\) | 34.3563 | 1.11408 | ||||||||
\(952\) | −22.0379 | + | 10.2764i | −0.714252 | + | 0.333061i | ||||
\(953\) | 28.3766 | − | 40.5260i | 0.919209 | − | 1.31277i | −0.0304677 | − | 0.999536i | \(-0.509700\pi\) |
0.949677 | − | 0.313231i | \(-0.101411\pi\) | |||||||
\(954\) | −3.76869 | + | 4.49135i | −0.122016 | + | 0.145413i | ||||
\(955\) | 6.28176 | − | 20.6920i | 0.203273 | − | 0.669577i | ||||
\(956\) | 3.57357 | − | 20.2667i | 0.115578 | − | 0.655473i | ||||
\(957\) | −10.7843 | + | 2.88963i | −0.348606 | + | 0.0934086i | ||||
\(958\) | −4.41025 | + | 16.4593i | −0.142489 | + | 0.531775i | ||||
\(959\) | 3.12664 | + | 8.59036i | 0.100964 | + | 0.277397i | ||||
\(960\) | 1.19711 | + | 8.39818i | 0.0386366 | + | 0.271050i | ||||
\(961\) | 7.73097 | + | 13.3904i | 0.249386 | + | 0.431949i | ||||
\(962\) | 1.67747 | + | 6.26042i | 0.0540839 | + | 0.201844i | ||||
\(963\) | 9.50819 | − | 6.65770i | 0.306397 | − | 0.214542i | ||||
\(964\) | −10.7005 | + | 8.97875i | −0.344638 | + | 0.289186i | ||||
\(965\) | 18.6486 | + | 23.7727i | 0.600319 | + | 0.765270i | ||||
\(966\) | −5.34283 | − | 30.3007i | −0.171903 | − | 0.974910i | ||||
\(967\) | −12.1230 | − | 25.9978i | −0.389848 | − | 0.836032i | −0.999074 | − | 0.0430352i | \(-0.986297\pi\) |
0.609225 | − | 0.792997i | \(-0.291481\pi\) | |||||||
\(968\) | 1.26418 | + | 1.26418i | 0.0406322 | + | 0.0406322i | ||||
\(969\) | −1.68851 | + | 30.7800i | −0.0542428 | + | 0.988796i | ||||
\(970\) | 10.4426 | + | 16.0113i | 0.335292 | + | 0.514091i | ||||
\(971\) | 5.31587 | − | 14.6052i | 0.170594 | − | 0.468704i | −0.824704 | − | 0.565565i | \(-0.808658\pi\) |
0.995298 | + | 0.0968611i | \(0.0308802\pi\) | |||||||
\(972\) | 10.6550 | + | 7.46074i | 0.341760 | + | 0.239303i | ||||
\(973\) | 36.3492 | − | 3.18014i | 1.16530 | − | 0.101951i | ||||
\(974\) | 22.3494 | + | 26.6349i | 0.716120 | + | 0.853438i | ||||
\(975\) | 6.11475 | − | 9.14276i | 0.195829 | − | 0.292803i | ||||
\(976\) | −25.2555 | + | 43.7439i | −0.808410 | + | 1.40021i | ||||
\(977\) | 37.3527 | + | 10.0086i | 1.19502 | + | 0.320204i | 0.800867 | − | 0.598842i | \(-0.204372\pi\) |
0.394150 | + | 0.919046i | \(0.371039\pi\) | |||||||
\(978\) | −0.924801 | + | 1.98324i | −0.0295719 | + | 0.0634171i | ||||
\(979\) | 29.5603 | − | 10.7591i | 0.944750 | − | 0.343861i | ||||
\(980\) | 34.9731 | + | 17.7333i | 1.11718 | + | 0.566469i | ||||
\(981\) | −9.39526 | − | 5.42435i | −0.299968 | − | 0.173186i | ||||
\(982\) | −15.1511 | − | 21.6380i | −0.483492 | − | 0.690497i | ||||
\(983\) | −9.73496 | − | 0.851699i | −0.310497 | − | 0.0271650i | −0.0691576 | − | 0.997606i | \(-0.522031\pi\) |
−0.241339 | + | 0.970441i | \(0.577587\pi\) | |||||||
\(984\) | −4.13202 | − | 3.46718i | −0.131724 | − | 0.110530i | ||||
\(985\) | 1.33520 | − | 40.5164i | 0.0425429 | − | 1.29096i | ||||
\(986\) | −18.6593 | − | 6.79144i | −0.594234 | − | 0.216283i | ||||
\(987\) | −27.8924 | + | 27.8924i | −0.887825 | + | 0.887825i | ||||
\(988\) | 9.30060 | − | 0.302040i | 0.295891 | − | 0.00960917i | ||||
\(989\) | − | 14.3688i | − | 0.456902i | ||||||
\(990\) | 11.6269 | + | 7.23358i | 0.369527 | + | 0.229898i | ||||
\(991\) | −23.1600 | + | 4.08373i | −0.735701 | + | 0.129724i | −0.528930 | − | 0.848666i | \(-0.677407\pi\) |
−0.206771 | + | 0.978389i | \(0.566295\pi\) | |||||||
\(992\) | 3.97609 | + | 45.4469i | 0.126241 | + | 1.44294i | ||||
\(993\) | 1.10430 | − | 12.6222i | 0.0350439 | − | 0.400554i | ||||
\(994\) | −34.5422 | − | 6.09073i | −1.09561 | − | 0.193186i | ||||
\(995\) | −34.0640 | + | 1.85231i | −1.07990 | + | 0.0587223i | ||||
\(996\) | 1.68692 | − | 0.973944i | 0.0534521 | − | 0.0308606i | ||||
\(997\) | −28.1198 | − | 13.1125i | −0.890563 | − | 0.415276i | −0.0771884 | − | 0.997017i | \(-0.524594\pi\) |
−0.813375 | + | 0.581740i | \(0.802372\pi\) | |||||||
\(998\) | −1.77242 | − | 0.826492i | −0.0561049 | − | 0.0261621i | ||||
\(999\) | −11.2504 | + | 6.49543i | −0.355947 | + | 0.205506i |
(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 | 95.2.r.a.72.2 | yes | 96 | |
3.2 | odd | 2 | 855.2.dl.a.262.7 | 96 | |||
5.2 | odd | 4 | 475.2.bb.b.243.2 | 96 | |||
5.3 | odd | 4 | inner | 95.2.r.a.53.7 | yes | 96 | |
5.4 | even | 2 | 475.2.bb.b.357.7 | 96 | |||
15.8 | even | 4 | 855.2.dl.a.433.2 | 96 | |||
19.14 | odd | 18 | inner | 95.2.r.a.52.7 | yes | 96 | |
57.14 | even | 18 | 855.2.dl.a.622.2 | 96 | |||
95.14 | odd | 18 | 475.2.bb.b.432.2 | 96 | |||
95.33 | even | 36 | inner | 95.2.r.a.33.2 | ✓ | 96 | |
95.52 | even | 36 | 475.2.bb.b.318.7 | 96 | |||
285.128 | odd | 36 | 855.2.dl.a.793.7 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.r.a.33.2 | ✓ | 96 | 95.33 | even | 36 | inner | |
95.2.r.a.52.7 | yes | 96 | 19.14 | odd | 18 | inner | |
95.2.r.a.53.7 | yes | 96 | 5.3 | odd | 4 | inner | |
95.2.r.a.72.2 | yes | 96 | 1.1 | even | 1 | trivial | |
475.2.bb.b.243.2 | 96 | 5.2 | odd | 4 | |||
475.2.bb.b.318.7 | 96 | 95.52 | even | 36 | |||
475.2.bb.b.357.7 | 96 | 5.4 | even | 2 | |||
475.2.bb.b.432.2 | 96 | 95.14 | odd | 18 | |||
855.2.dl.a.262.7 | 96 | 3.2 | odd | 2 | |||
855.2.dl.a.433.2 | 96 | 15.8 | even | 4 | |||
855.2.dl.a.622.2 | 96 | 57.14 | even | 18 | |||
855.2.dl.a.793.7 | 96 | 285.128 | odd | 36 |