Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [520,2,Mod(101,520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("520.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 520 = 2^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 520.ca (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.15222090511\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.4 | ||
Character | \(\chi\) | \(=\) | 520.101 |
Dual form | 520.2.ca.b.381.4 |
$q$-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 \(\left(\mathbb{Z}/520\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(261\) | \(391\) | \(417\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32269 | + | 0.500493i | −0.935283 | + | 0.353902i | ||||
\(3\) | 0.815452 | − | 0.470802i | 0.470802 | − | 0.271817i | −0.245774 | − | 0.969327i | \(-0.579042\pi\) |
0.716575 | + | 0.697510i | \(0.245709\pi\) | |||||||
\(4\) | 1.49901 | − | 1.32399i | 0.749507 | − | 0.661996i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −0.842957 | + | 1.03085i | −0.344136 | + | 0.420844i | ||||
\(7\) | −2.82007 | − | 1.62817i | −1.06589 | − | 0.615390i | −0.138832 | − | 0.990316i | \(-0.544335\pi\) |
−0.927055 | + | 0.374926i | \(0.877668\pi\) | |||||||
\(8\) | −1.32008 | + | 2.50148i | −0.466719 | + | 0.884405i | ||||
\(9\) | −1.05669 | + | 1.83024i | −0.352231 | + | 0.610081i | ||||
\(10\) | −1.32269 | + | 0.500493i | −0.418271 | + | 0.158270i | ||||
\(11\) | −2.28794 | − | 3.96283i | −0.689840 | − | 1.19484i | −0.971889 | − | 0.235439i | \(-0.924347\pi\) |
0.282049 | − | 0.959400i | \(-0.408986\pi\) | |||||||
\(12\) | 0.599037 | − | 1.78539i | 0.172927 | − | 0.515398i | ||||
\(13\) | 2.20289 | − | 2.85434i | 0.610971 | − | 0.791653i | ||||
\(14\) | 4.54496 | + | 0.742136i | 1.21469 | + | 0.198344i | ||||
\(15\) | 0.815452 | − | 0.470802i | 0.210549 | − | 0.121560i | ||||
\(16\) | 0.494087 | − | 3.96937i | 0.123522 | − | 0.992342i | ||||
\(17\) | 3.64340 | − | 6.31055i | 0.883654 | − | 1.53053i | 0.0364049 | − | 0.999337i | \(-0.488409\pi\) |
0.847249 | − | 0.531196i | \(-0.178257\pi\) | |||||||
\(18\) | 0.481651 | − | 2.94971i | 0.113526 | − | 0.695253i | ||||
\(19\) | −3.24655 | + | 5.62320i | −0.744811 | + | 1.29005i | 0.205472 | + | 0.978663i | \(0.434127\pi\) |
−0.950283 | + | 0.311387i | \(0.899206\pi\) | |||||||
\(20\) | 1.49901 | − | 1.32399i | 0.335190 | − | 0.296054i | ||||
\(21\) | −3.06618 | −0.669095 | ||||||||
\(22\) | 5.00960 | + | 4.09650i | 1.06805 | + | 0.873376i | ||||
\(23\) | −3.65810 | − | 6.33601i | −0.762766 | − | 1.32115i | −0.941420 | − | 0.337237i | \(-0.890507\pi\) |
0.178654 | − | 0.983912i | \(-0.442826\pi\) | |||||||
\(24\) | 0.101236 | + | 2.66133i | 0.0206646 | + | 0.543242i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.48516 | + | 4.87794i | −0.291263 | + | 0.956643i | ||||
\(27\) | 4.81478i | 0.926605i | ||||||||
\(28\) | −6.38301 | + | 1.29310i | −1.20627 | + | 0.244374i | ||||
\(29\) | −3.33584 | + | 1.92595i | −0.619450 | + | 0.357640i | −0.776655 | − | 0.629926i | \(-0.783085\pi\) |
0.157205 | + | 0.987566i | \(0.449752\pi\) | |||||||
\(30\) | −0.842957 | + | 1.03085i | −0.153902 | + | 0.188207i | ||||
\(31\) | − | 2.78436i | − | 0.500086i | −0.968235 | − | 0.250043i | \(-0.919555\pi\) | ||
0.968235 | − | 0.250043i | \(-0.0804448\pi\) | |||||||
\(32\) | 1.33312 | + | 5.49753i | 0.235664 | + | 0.971835i | ||||
\(33\) | −3.73142 | − | 2.15433i | −0.649556 | − | 0.375021i | ||||
\(34\) | −1.66070 | + | 10.1704i | −0.284808 | + | 1.74421i | ||||
\(35\) | −2.82007 | − | 1.62817i | −0.476679 | − | 0.275211i | ||||
\(36\) | 0.839233 | + | 4.14261i | 0.139872 | + | 0.690436i | ||||
\(37\) | −2.57569 | − | 4.46122i | −0.423440 | − | 0.733420i | 0.572833 | − | 0.819672i | \(-0.305844\pi\) |
−0.996273 | + | 0.0862519i | \(0.972511\pi\) | |||||||
\(38\) | 1.47981 | − | 9.06262i | 0.240058 | − | 1.47015i | ||||
\(39\) | 0.452520 | − | 3.36471i | 0.0724612 | − | 0.538784i | ||||
\(40\) | −1.32008 | + | 2.50148i | −0.208723 | + | 0.395518i | ||||
\(41\) | 3.47276 | − | 2.00500i | 0.542354 | − | 0.313128i | −0.203679 | − | 0.979038i | \(-0.565290\pi\) |
0.746032 | + | 0.665910i | \(0.231956\pi\) | |||||||
\(42\) | 4.05560 | − | 1.53460i | 0.625793 | − | 0.236794i | ||||
\(43\) | 6.09210 | + | 3.51727i | 0.929036 | + | 0.536379i | 0.886507 | − | 0.462716i | \(-0.153125\pi\) |
0.0425296 | + | 0.999095i | \(0.486458\pi\) | |||||||
\(44\) | −8.67642 | − | 2.91112i | −1.30802 | − | 0.438868i | ||||
\(45\) | −1.05669 | + | 1.83024i | −0.157522 | + | 0.272837i | ||||
\(46\) | 8.00965 | + | 6.54972i | 1.18096 | + | 0.965704i | ||||
\(47\) | − | 7.32283i | − | 1.06814i | −0.845439 | − | 0.534072i | \(-0.820661\pi\) | ||
0.845439 | − | 0.534072i | \(-0.179339\pi\) | |||||||
\(48\) | −1.46588 | − | 3.46945i | −0.211582 | − | 0.500772i | ||||
\(49\) | 1.80186 | + | 3.12092i | 0.257409 | + | 0.445845i | ||||
\(50\) | −1.32269 | + | 0.500493i | −0.187057 | + | 0.0707803i | ||||
\(51\) | − | 6.86127i | − | 0.960770i | ||||||
\(52\) | −0.476971 | − | 7.19531i | −0.0661439 | − | 0.997810i | ||||
\(53\) | − | 3.33709i | − | 0.458385i | −0.973381 | − | 0.229192i | \(-0.926392\pi\) | ||
0.973381 | − | 0.229192i | \(-0.0736085\pi\) | |||||||
\(54\) | −2.40976 | − | 6.36846i | −0.327927 | − | 0.866637i | ||||
\(55\) | −2.28794 | − | 3.96283i | −0.308506 | − | 0.534348i | ||||
\(56\) | 7.79555 | − | 4.90502i | 1.04172 | − | 0.655461i | ||||
\(57\) | 6.11393i | 0.809810i | ||||||||
\(58\) | 3.44836 | − | 4.21699i | 0.452792 | − | 0.553719i | ||||
\(59\) | −0.960988 | + | 1.66448i | −0.125110 | + | 0.216697i | −0.921776 | − | 0.387723i | \(-0.873262\pi\) |
0.796666 | + | 0.604420i | \(0.206595\pi\) | |||||||
\(60\) | 0.599037 | − | 1.78539i | 0.0773353 | − | 0.230493i | ||||
\(61\) | 4.19212 | + | 2.42032i | 0.536745 | + | 0.309890i | 0.743759 | − | 0.668448i | \(-0.233041\pi\) |
−0.207014 | + | 0.978338i | \(0.566374\pi\) | |||||||
\(62\) | 1.39355 | + | 3.68284i | 0.176981 | + | 0.467722i | ||||
\(63\) | 5.95989 | − | 3.44094i | 0.750875 | − | 0.433518i | ||||
\(64\) | −4.51477 | − | 6.60431i | −0.564346 | − | 0.825538i | ||||
\(65\) | 2.20289 | − | 2.85434i | 0.273235 | − | 0.354038i | ||||
\(66\) | 6.01373 | + | 0.981968i | 0.740239 | + | 0.120872i | ||||
\(67\) | −0.105635 | − | 0.182965i | −0.0129054 | − | 0.0223528i | 0.859501 | − | 0.511135i | \(-0.170775\pi\) |
−0.872406 | + | 0.488782i | \(0.837441\pi\) | |||||||
\(68\) | −2.89362 | − | 14.2834i | −0.350903 | − | 1.73212i | ||||
\(69\) | −5.96601 | − | 3.44448i | −0.718223 | − | 0.414666i | ||||
\(70\) | 4.54496 | + | 0.742136i | 0.543227 | + | 0.0887023i | ||||
\(71\) | −5.29581 | − | 3.05754i | −0.628497 | − | 0.362863i | 0.151673 | − | 0.988431i | \(-0.451534\pi\) |
−0.780170 | + | 0.625568i | \(0.784867\pi\) | |||||||
\(72\) | −3.18339 | − | 5.05936i | −0.375166 | − | 0.596251i | ||||
\(73\) | 7.65793i | 0.896293i | 0.893960 | + | 0.448146i | \(0.147916\pi\) | ||||
−0.893960 | + | 0.448146i | \(0.852084\pi\) | |||||||
\(74\) | 5.63964 | + | 4.61170i | 0.655595 | + | 0.536099i | ||||
\(75\) | 0.815452 | − | 0.470802i | 0.0941603 | − | 0.0543635i | ||||
\(76\) | 2.57844 | + | 12.7277i | 0.295767 | + | 1.45996i | ||||
\(77\) | 14.9006i | 1.69808i | ||||||||
\(78\) | 1.08547 | + | 4.67694i | 0.122905 | + | 0.529560i | ||||
\(79\) | 14.7003 | 1.65392 | 0.826959 | − | 0.562262i | \(-0.190069\pi\) | ||||
0.826959 | + | 0.562262i | \(0.190069\pi\) | |||||||
\(80\) | 0.494087 | − | 3.96937i | 0.0552407 | − | 0.443789i | ||||
\(81\) | −0.903270 | − | 1.56451i | −0.100363 | − | 0.173834i | ||||
\(82\) | −3.58989 | + | 4.39008i | −0.396437 | + | 0.484803i | ||||
\(83\) | −7.55031 | −0.828754 | −0.414377 | − | 0.910105i | \(-0.636001\pi\) | ||||
−0.414377 | + | 0.910105i | \(0.636001\pi\) | |||||||
\(84\) | −4.59624 | + | 4.05959i | −0.501491 | + | 0.442938i | ||||
\(85\) | 3.64340 | − | 6.31055i | 0.395182 | − | 0.684475i | ||||
\(86\) | −9.81832 | − | 1.60321i | −1.05874 | − | 0.172879i | ||||
\(87\) | −1.81348 | + | 3.14104i | −0.194425 | + | 0.336755i | ||||
\(88\) | 12.9332 | − | 0.491972i | 1.37868 | − | 0.0524443i | ||||
\(89\) | −4.09878 | + | 2.36643i | −0.434470 | + | 0.250841i | −0.701249 | − | 0.712916i | \(-0.747374\pi\) |
0.266779 | + | 0.963758i | \(0.414041\pi\) | |||||||
\(90\) | 0.481651 | − | 2.94971i | 0.0507705 | − | 0.310927i | ||||
\(91\) | −10.8597 | + | 4.46278i | −1.13840 | + | 0.467826i | ||||
\(92\) | −13.8724 | − | 4.65448i | −1.44629 | − | 0.485263i | ||||
\(93\) | −1.31088 | − | 2.27051i | −0.135932 | − | 0.235441i | ||||
\(94\) | 3.66502 | + | 9.68583i | 0.378018 | + | 0.999017i | ||||
\(95\) | −3.24655 | + | 5.62320i | −0.333089 | + | 0.576928i | ||||
\(96\) | 3.67534 | + | 3.85534i | 0.375112 | + | 0.393484i | ||||
\(97\) | 7.27269 | + | 4.19889i | 0.738430 | + | 0.426333i | 0.821498 | − | 0.570211i | \(-0.193139\pi\) |
−0.0830682 | + | 0.996544i | \(0.526472\pi\) | |||||||
\(98\) | −3.94530 | − | 3.22618i | −0.398535 | − | 0.325894i | ||||
\(99\) | 9.67060 | 0.971932 | ||||||||
\(100\) | 1.49901 | − | 1.32399i | 0.149901 | − | 0.132399i | ||||
\(101\) | 8.39604 | − | 4.84746i | 0.835437 | − | 0.482340i | −0.0202735 | − | 0.999794i | \(-0.506454\pi\) |
0.855711 | + | 0.517455i | \(0.173120\pi\) | |||||||
\(102\) | 3.43402 | + | 9.07533i | 0.340018 | + | 0.898592i | ||||
\(103\) | −9.65843 | −0.951673 | −0.475837 | − | 0.879534i | \(-0.657855\pi\) | ||||
−0.475837 | + | 0.879534i | \(0.657855\pi\) | |||||||
\(104\) | 4.23208 | + | 9.27844i | 0.414990 | + | 0.909826i | ||||
\(105\) | −3.06618 | −0.299228 | ||||||||
\(106\) | 1.67019 | + | 4.41393i | 0.162223 | + | 0.428719i | ||||
\(107\) | 2.53186 | − | 1.46177i | 0.244764 | − | 0.141314i | −0.372601 | − | 0.927992i | \(-0.621534\pi\) |
0.617364 | + | 0.786677i | \(0.288200\pi\) | |||||||
\(108\) | 6.37473 | + | 7.21742i | 0.613409 | + | 0.694497i | ||||
\(109\) | −1.12321 | −0.107584 | −0.0537921 | − | 0.998552i | \(-0.517131\pi\) | ||||
−0.0537921 | + | 0.998552i | \(0.517131\pi\) | |||||||
\(110\) | 5.00960 | + | 4.09650i | 0.477647 | + | 0.390586i | ||||
\(111\) | −4.20070 | − | 2.42528i | −0.398713 | − | 0.230197i | ||||
\(112\) | −7.85616 | + | 10.3894i | −0.742337 | + | 0.981709i | ||||
\(113\) | 4.10521 | − | 7.11043i | 0.386186 | − | 0.668893i | −0.605747 | − | 0.795657i | \(-0.707126\pi\) |
0.991933 | + | 0.126764i | \(0.0404591\pi\) | |||||||
\(114\) | −3.05998 | − | 8.08683i | −0.286593 | − | 0.757401i | ||||
\(115\) | −3.65810 | − | 6.33601i | −0.341119 | − | 0.590836i | ||||
\(116\) | −2.45053 | + | 7.30365i | −0.227526 | + | 0.678127i | ||||
\(117\) | 2.89637 | + | 7.04798i | 0.267770 | + | 0.651586i | ||||
\(118\) | 0.438029 | − | 2.68256i | 0.0403238 | − | 0.246949i | ||||
\(119\) | −20.5493 | + | 11.8641i | −1.88375 | + | 1.08758i | ||||
\(120\) | 0.101236 | + | 2.66133i | 0.00924150 | + | 0.242945i | ||||
\(121\) | −4.96936 | + | 8.60718i | −0.451760 | + | 0.782471i | ||||
\(122\) | −6.75622 | − | 1.10321i | −0.611679 | − | 0.0998797i | ||||
\(123\) | 1.88791 | − | 3.26996i | 0.170227 | − | 0.294842i | ||||
\(124\) | −3.68647 | − | 4.17380i | −0.331055 | − | 0.374818i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −6.16091 | + | 7.53418i | −0.548858 | + | 0.671198i | ||||
\(127\) | −2.26541 | − | 3.92381i | −0.201023 | − | 0.348182i | 0.747835 | − | 0.663884i | \(-0.231093\pi\) |
−0.948858 | + | 0.315702i | \(0.897760\pi\) | |||||||
\(128\) | 9.27704 | + | 6.47584i | 0.819983 | + | 0.572389i | ||||
\(129\) | 6.62375 | 0.583189 | ||||||||
\(130\) | −1.48516 | + | 4.87794i | −0.130257 | + | 0.427824i | ||||
\(131\) | 18.1375i | 1.58468i | 0.610078 | + | 0.792342i | \(0.291138\pi\) | ||||
−0.610078 | + | 0.792342i | \(0.708862\pi\) | |||||||
\(132\) | −8.44577 | + | 1.71099i | −0.735110 | + | 0.148923i | ||||
\(133\) | 18.3110 | − | 10.5719i | 1.58777 | − | 0.916698i | ||||
\(134\) | 0.231295 | + | 0.189137i | 0.0199808 | + | 0.0163389i | ||||
\(135\) | 4.81478i | 0.414390i | ||||||||
\(136\) | 10.9761 | + | 17.4443i | 0.941194 | + | 1.49584i | ||||
\(137\) | 10.3515 | + | 5.97644i | 0.884389 | + | 0.510602i | 0.872103 | − | 0.489323i | \(-0.162756\pi\) |
0.0122856 | + | 0.999925i | \(0.496089\pi\) | |||||||
\(138\) | 9.61511 | + | 1.57003i | 0.818493 | + | 0.133650i | ||||
\(139\) | 17.3034 | + | 9.99011i | 1.46765 | + | 0.847350i | 0.999344 | − | 0.0362139i | \(-0.0115298\pi\) |
0.468310 | + | 0.883564i | \(0.344863\pi\) | |||||||
\(140\) | −6.38301 | + | 1.29310i | −0.539463 | + | 0.109287i | ||||
\(141\) | −3.44760 | − | 5.97142i | −0.290340 | − | 0.502884i | ||||
\(142\) | 8.53498 | + | 1.39366i | 0.716240 | + | 0.116953i | ||||
\(143\) | −16.3514 | − | 2.19910i | −1.36737 | − | 0.183898i | ||||
\(144\) | 6.74281 | + | 5.09870i | 0.561901 | + | 0.424891i | ||||
\(145\) | −3.33584 | + | 1.92595i | −0.277026 | + | 0.159941i | ||||
\(146\) | −3.83274 | − | 10.1291i | −0.317200 | − | 0.838287i | ||||
\(147\) | 2.93867 | + | 1.69664i | 0.242377 | + | 0.139936i | ||||
\(148\) | −9.76761 | − | 3.27724i | −0.802893 | − | 0.269388i | ||||
\(149\) | −6.07088 | + | 10.5151i | −0.497346 | + | 0.861429i | −0.999995 | − | 0.00306162i | \(-0.999025\pi\) |
0.502649 | + | 0.864491i | \(0.332359\pi\) | |||||||
\(150\) | −0.842957 | + | 1.03085i | −0.0688272 | + | 0.0841687i | ||||
\(151\) | − | 2.19357i | − | 0.178510i | −0.996009 | − | 0.0892550i | \(-0.971551\pi\) | ||
0.996009 | − | 0.0892550i | \(-0.0284486\pi\) | |||||||
\(152\) | −9.78058 | − | 15.5443i | −0.793310 | − | 1.26081i | ||||
\(153\) | 7.69990 | + | 13.3366i | 0.622500 | + | 1.07820i | ||||
\(154\) | −7.45765 | − | 19.7089i | −0.600954 | − | 1.58819i | ||||
\(155\) | − | 2.78436i | − | 0.223645i | ||||||
\(156\) | −3.77651 | − | 5.64287i | −0.302363 | − | 0.451792i | ||||
\(157\) | 21.5797i | 1.72225i | 0.508395 | + | 0.861124i | \(0.330239\pi\) | ||||
−0.508395 | + | 0.861124i | \(0.669761\pi\) | |||||||
\(158\) | −19.4440 | + | 7.35741i | −1.54688 | + | 0.585324i | ||||
\(159\) | −1.57111 | − | 2.72124i | −0.124597 | − | 0.215808i | ||||
\(160\) | 1.33312 | + | 5.49753i | 0.105392 | + | 0.434618i | ||||
\(161\) | 23.8240i | 1.87759i | ||||||||
\(162\) | 1.97777 | + | 1.61728i | 0.155388 | + | 0.127065i | ||||
\(163\) | 7.84916 | − | 13.5951i | 0.614794 | − | 1.06485i | −0.375627 | − | 0.926771i | \(-0.622573\pi\) |
0.990421 | − | 0.138083i | \(-0.0440941\pi\) | |||||||
\(164\) | 2.55111 | − | 7.60342i | 0.199208 | − | 0.593728i | ||||
\(165\) | −3.73142 | − | 2.15433i | −0.290490 | − | 0.167715i | ||||
\(166\) | 9.98672 | − | 3.77888i | 0.775120 | − | 0.293298i | ||||
\(167\) | 8.80939 | − | 5.08611i | 0.681691 | − | 0.393575i | −0.118801 | − | 0.992918i | \(-0.537905\pi\) |
0.800492 | + | 0.599343i | \(0.204572\pi\) | |||||||
\(168\) | 4.04760 | − | 7.66997i | 0.312279 | − | 0.591751i | ||||
\(169\) | −3.29457 | − | 12.5756i | −0.253428 | − | 0.967354i | ||||
\(170\) | −1.66070 | + | 10.1704i | −0.127370 | + | 0.780033i | ||||
\(171\) | −6.86121 | − | 11.8840i | −0.524690 | − | 0.908790i | ||||
\(172\) | 13.7890 | − | 2.79345i | 1.05140 | − | 0.212998i | ||||
\(173\) | −15.2799 | − | 8.82187i | −1.16171 | − | 0.670714i | −0.209998 | − | 0.977702i | \(-0.567346\pi\) |
−0.951714 | + | 0.306987i | \(0.900679\pi\) | |||||||
\(174\) | 0.826603 | − | 5.06225i | 0.0626646 | − | 0.383768i | ||||
\(175\) | −2.82007 | − | 1.62817i | −0.213177 | − | 0.123078i | ||||
\(176\) | −16.8604 | + | 7.12370i | −1.27090 | + | 0.536969i | ||||
\(177\) | 1.80974i | 0.136028i | ||||||||
\(178\) | 4.23703 | − | 5.18146i | 0.317579 | − | 0.388367i | ||||
\(179\) | −1.09869 | + | 0.634330i | −0.0821201 | + | 0.0474120i | −0.540498 | − | 0.841345i | \(-0.681764\pi\) |
0.458378 | + | 0.888758i | \(0.348431\pi\) | |||||||
\(180\) | 0.839233 | + | 4.14261i | 0.0625527 | + | 0.308772i | ||||
\(181\) | 13.4062i | 0.996473i | 0.867041 | + | 0.498237i | \(0.166019\pi\) | ||||
−0.867041 | + | 0.498237i | \(0.833981\pi\) | |||||||
\(182\) | 12.1304 | − | 11.3380i | 0.899162 | − | 0.840432i | ||||
\(183\) | 4.55796 | 0.336934 | ||||||||
\(184\) | 20.6784 | − | 0.786593i | 1.52443 | − | 0.0579884i | ||||
\(185\) | −2.57569 | − | 4.46122i | −0.189368 | − | 0.327995i | ||||
\(186\) | 2.87026 | + | 2.34710i | 0.210458 | + | 0.172098i | ||||
\(187\) | −33.3435 | −2.43832 | ||||||||
\(188\) | −9.69537 | − | 10.9770i | −0.707108 | − | 0.800582i | ||||
\(189\) | 7.83927 | − | 13.5780i | 0.570223 | − | 0.987655i | ||||
\(190\) | 1.47981 | − | 9.06262i | 0.107357 | − | 0.657472i | ||||
\(191\) | 0.546815 | − | 0.947111i | 0.0395661 | − | 0.0685306i | −0.845564 | − | 0.533874i | \(-0.820736\pi\) |
0.885130 | + | 0.465343i | \(0.154069\pi\) | |||||||
\(192\) | −6.79090 | − | 3.25994i | −0.490091 | − | 0.235266i | ||||
\(193\) | −17.4409 | + | 10.0695i | −1.25543 | + | 0.724821i | −0.972182 | − | 0.234227i | \(-0.924744\pi\) |
−0.283244 | + | 0.959048i | \(0.591411\pi\) | |||||||
\(194\) | −11.7210 | − | 1.91390i | −0.841521 | − | 0.137410i | ||||
\(195\) | 0.452520 | − | 3.36471i | 0.0324056 | − | 0.240952i | ||||
\(196\) | 6.83309 | + | 2.29265i | 0.488078 | + | 0.163760i | ||||
\(197\) | 6.49688 | + | 11.2529i | 0.462884 | + | 0.801738i | 0.999103 | − | 0.0423403i | \(-0.0134814\pi\) |
−0.536219 | + | 0.844079i | \(0.680148\pi\) | |||||||
\(198\) | −12.7912 | + | 4.84006i | −0.909031 | + | 0.343968i | ||||
\(199\) | −2.01275 | + | 3.48619i | −0.142680 | + | 0.247130i | −0.928505 | − | 0.371320i | \(-0.878905\pi\) |
0.785825 | + | 0.618449i | \(0.212239\pi\) | |||||||
\(200\) | −1.32008 | + | 2.50148i | −0.0933439 | + | 0.176881i | ||||
\(201\) | −0.172281 | − | 0.0994662i | −0.0121517 | − | 0.00701581i | ||||
\(202\) | −8.67924 | + | 10.6138i | −0.610669 | + | 0.746787i | ||||
\(203\) | 12.5431 | 0.880351 | ||||||||
\(204\) | −9.08427 | − | 10.2851i | −0.636026 | − | 0.720104i | ||||
\(205\) | 3.47276 | − | 2.00500i | 0.242548 | − | 0.140035i | ||||
\(206\) | 12.7751 | − | 4.83397i | 0.890083 | − | 0.336799i | ||||
\(207\) | 15.4619 | 1.07468 | ||||||||
\(208\) | −10.2415 | − | 10.1544i | −0.710122 | − | 0.704079i | ||||
\(209\) | 29.7117 | 2.05520 | ||||||||
\(210\) | 4.05560 | − | 1.53460i | 0.279863 | − | 0.105897i | ||||
\(211\) | 18.4537 | − | 10.6543i | 1.27041 | − | 0.733469i | 0.295342 | − | 0.955392i | \(-0.404566\pi\) |
0.975064 | + | 0.221922i | \(0.0712332\pi\) | |||||||
\(212\) | −4.41828 | − | 5.00235i | −0.303449 | − | 0.343563i | ||||
\(213\) | −5.75797 | −0.394530 | ||||||||
\(214\) | −2.61725 | + | 3.20064i | −0.178912 | + | 0.218791i | ||||
\(215\) | 6.09210 | + | 3.51727i | 0.415478 | + | 0.239876i | ||||
\(216\) | −12.0441 | − | 6.35590i | −0.819494 | − | 0.432464i | ||||
\(217\) | −4.53341 | + | 7.85209i | −0.307748 | + | 0.533035i | ||||
\(218\) | 1.48566 | − | 0.562159i | 0.100622 | − | 0.0380742i | ||||
\(219\) | 3.60537 | + | 6.24468i | 0.243628 | + | 0.421976i | ||||
\(220\) | −8.67642 | − | 2.91112i | −0.584964 | − | 0.196268i | ||||
\(221\) | −9.98649 | − | 24.3010i | −0.671764 | − | 1.63466i | ||||
\(222\) | 6.77005 | + | 1.10547i | 0.454376 | + | 0.0741940i | ||||
\(223\) | 8.44262 | − | 4.87435i | 0.565359 | − | 0.326410i | −0.189934 | − | 0.981797i | \(-0.560828\pi\) |
0.755294 | + | 0.655386i | \(0.227494\pi\) | |||||||
\(224\) | 5.19142 | − | 17.6739i | 0.346866 | − | 1.18089i | ||||
\(225\) | −1.05669 | + | 1.83024i | −0.0704461 | + | 0.122016i | ||||
\(226\) | −1.87120 | + | 11.4595i | −0.124470 | + | 0.762276i | ||||
\(227\) | 5.82595 | − | 10.0908i | 0.386682 | − | 0.669753i | −0.605319 | − | 0.795983i | \(-0.706954\pi\) |
0.992001 | + | 0.126230i | \(0.0402878\pi\) | |||||||
\(228\) | 8.09480 | + | 9.16487i | 0.536091 | + | 0.606958i | ||||
\(229\) | 21.6811 | 1.43273 | 0.716365 | − | 0.697726i | \(-0.245805\pi\) | ||||
0.716365 | + | 0.697726i | \(0.245805\pi\) | |||||||
\(230\) | 8.00965 | + | 6.54972i | 0.528141 | + | 0.431876i | ||||
\(231\) | 7.01523 | + | 12.1507i | 0.461569 | + | 0.799460i | ||||
\(232\) | −0.414133 | − | 10.8869i | −0.0271891 | − | 0.714762i | ||||
\(233\) | 16.1554 | 1.05838 | 0.529188 | − | 0.848505i | \(-0.322497\pi\) | ||||
0.529188 | + | 0.848505i | \(0.322497\pi\) | |||||||
\(234\) | −7.35847 | − | 7.87268i | −0.481038 | − | 0.514653i | ||||
\(235\) | − | 7.32283i | − | 0.477689i | ||||||
\(236\) | 0.763224 | + | 3.76742i | 0.0496817 | + | 0.245238i | ||||
\(237\) | 11.9874 | − | 6.92095i | 0.778667 | − | 0.449564i | ||||
\(238\) | 21.2424 | − | 25.9773i | 1.37694 | − | 1.68386i | ||||
\(239\) | − | 0.979222i | − | 0.0633406i | −0.999498 | − | 0.0316703i | \(-0.989917\pi\) | ||
0.999498 | − | 0.0316703i | \(-0.0100827\pi\) | |||||||
\(240\) | −1.46588 | − | 3.46945i | −0.0946221 | − | 0.223952i | ||||
\(241\) | 9.26265 | + | 5.34779i | 0.596660 | + | 0.344482i | 0.767726 | − | 0.640778i | \(-0.221388\pi\) |
−0.171067 | + | 0.985259i | \(0.554721\pi\) | |||||||
\(242\) | 2.26509 | − | 13.8718i | 0.145605 | − | 0.891710i | ||||
\(243\) | −13.9823 | − | 8.07269i | −0.896965 | − | 0.517863i | ||||
\(244\) | 9.48852 | − | 1.92224i | 0.607441 | − | 0.123059i | ||||
\(245\) | 1.80186 | + | 3.12092i | 0.115117 | + | 0.199388i | ||||
\(246\) | −0.860530 | + | 5.27003i | −0.0548654 | + | 0.336005i | ||||
\(247\) | 8.89875 | + | 21.6541i | 0.566214 | + | 1.37781i | ||||
\(248\) | 6.96501 | + | 3.67558i | 0.442279 | + | 0.233400i | ||||
\(249\) | −6.15692 | + | 3.55470i | −0.390179 | + | 0.225270i | ||||
\(250\) | −1.32269 | + | 0.500493i | −0.0836542 | + | 0.0316539i | ||||
\(251\) | −1.41559 | − | 0.817291i | −0.0893512 | − | 0.0515869i | 0.454659 | − | 0.890666i | \(-0.349761\pi\) |
−0.544010 | + | 0.839079i | \(0.683095\pi\) | |||||||
\(252\) | 4.37817 | − | 13.0489i | 0.275799 | − | 0.822002i | ||||
\(253\) | −16.7390 | + | 28.9928i | −1.05237 | + | 1.82276i | ||||
\(254\) | 4.96028 | + | 4.05616i | 0.311235 | + | 0.254506i | ||||
\(255\) | − | 6.86127i | − | 0.429669i | ||||||
\(256\) | −15.5118 | − | 3.92243i | −0.969485 | − | 0.245152i | ||||
\(257\) | −14.2913 | − | 24.7533i | −0.891469 | − | 1.54407i | −0.838115 | − | 0.545494i | \(-0.816342\pi\) |
−0.0533543 | − | 0.998576i | \(-0.516991\pi\) | |||||||
\(258\) | −8.76117 | + | 3.31514i | −0.545447 | + | 0.206392i | ||||
\(259\) | 16.7746i | 1.04232i | ||||||||
\(260\) | −0.476971 | − | 7.19531i | −0.0295805 | − | 0.446234i | ||||
\(261\) | − | 8.14053i | − | 0.503886i | ||||||
\(262\) | −9.07770 | − | 23.9903i | −0.560822 | − | 1.48213i | ||||
\(263\) | −0.592661 | − | 1.02652i | −0.0365451 | − | 0.0632979i | 0.847174 | − | 0.531315i | \(-0.178302\pi\) |
−0.883719 | + | 0.468017i | \(0.844969\pi\) | |||||||
\(264\) | 10.3148 | − | 6.49015i | 0.634831 | − | 0.399441i | ||||
\(265\) | − | 3.33709i | − | 0.204996i | ||||||
\(266\) | −18.9286 | + | 23.1478i | −1.16059 | + | 1.41928i | ||||
\(267\) | −2.22824 | + | 3.85943i | −0.136366 | + | 0.236193i | ||||
\(268\) | −0.400593 | − | 0.134407i | −0.0244701 | − | 0.00821024i | ||||
\(269\) | −17.9663 | − | 10.3729i | −1.09543 | − | 0.632444i | −0.160410 | − | 0.987051i | \(-0.551281\pi\) |
−0.935016 | + | 0.354607i | \(0.884615\pi\) | |||||||
\(270\) | −2.40976 | − | 6.36846i | −0.146653 | − | 0.387572i | ||||
\(271\) | −3.99411 | + | 2.30600i | −0.242625 | + | 0.140079i | −0.616383 | − | 0.787447i | \(-0.711402\pi\) |
0.373758 | + | 0.927526i | \(0.378069\pi\) | |||||||
\(272\) | −23.2487 | − | 17.5799i | −1.40966 | − | 1.06594i | ||||
\(273\) | −6.75444 | + | 8.75192i | −0.408798 | + | 0.529691i | ||||
\(274\) | −16.6830 | − | 2.72413i | −1.00786 | − | 0.164570i | ||||
\(275\) | −2.28794 | − | 3.96283i | −0.137968 | − | 0.238968i | ||||
\(276\) | −13.5036 | + | 2.73563i | −0.812821 | + | 0.164666i | ||||
\(277\) | 17.0409 | + | 9.83855i | 1.02389 | + | 0.591141i | 0.915227 | − | 0.402938i | \(-0.132011\pi\) |
0.108659 | + | 0.994079i | \(0.465344\pi\) | |||||||
\(278\) | −27.8870 | − | 4.55360i | −1.67255 | − | 0.273107i | ||||
\(279\) | 5.09606 | + | 2.94221i | 0.305093 | + | 0.176146i | ||||
\(280\) | 7.79555 | − | 4.90502i | 0.465873 | − | 0.293131i | ||||
\(281\) | − | 22.9775i | − | 1.37072i | −0.728203 | − | 0.685361i | \(-0.759644\pi\) | ||
0.728203 | − | 0.685361i | \(-0.240356\pi\) | |||||||
\(282\) | 7.54876 | + | 6.17283i | 0.449522 | + | 0.367587i | ||||
\(283\) | −15.4338 | + | 8.91072i | −0.917446 | + | 0.529688i | −0.882819 | − | 0.469713i | \(-0.844357\pi\) |
−0.0346264 | + | 0.999400i | \(0.511024\pi\) | |||||||
\(284\) | −11.9866 | + | 2.42832i | −0.711276 | + | 0.144094i | ||||
\(285\) | 6.11393i | 0.362158i | ||||||||
\(286\) | 22.7284 | − | 5.27501i | 1.34396 | − | 0.311918i | ||||
\(287\) | −13.0579 | −0.770783 | ||||||||
\(288\) | −11.4705 | − | 3.36927i | −0.675906 | − | 0.198536i | ||||
\(289\) | −18.0487 | − | 31.2613i | −1.06169 | − | 1.83890i | ||||
\(290\) | 3.44836 | − | 4.21699i | 0.202495 | − | 0.247630i | ||||
\(291\) | 7.90738 | 0.463539 | ||||||||
\(292\) | 10.1390 | + | 11.4793i | 0.593343 | + | 0.671778i | ||||
\(293\) | 1.92052 | − | 3.32644i | 0.112198 | − | 0.194333i | −0.804458 | − | 0.594009i | \(-0.797544\pi\) |
0.916656 | + | 0.399677i | \(0.130878\pi\) | |||||||
\(294\) | −4.73610 | − | 0.773346i | −0.276215 | − | 0.0451025i | ||||
\(295\) | −0.960988 | + | 1.66448i | −0.0559509 | + | 0.0969098i | ||||
\(296\) | 14.5598 | − | 0.553845i | 0.846269 | − | 0.0321916i | ||||
\(297\) | 19.0802 | − | 11.0159i | 1.10714 | − | 0.639209i | ||||
\(298\) | 2.76717 | − | 16.9466i | 0.160298 | − | 0.981691i | ||||
\(299\) | −26.1435 | − | 3.51605i | −1.51192 | − | 0.203339i | ||||
\(300\) | 0.599037 | − | 1.78539i | 0.0345854 | − | 0.103080i | ||||
\(301\) | −11.4534 | − | 19.8379i | −0.660165 | − | 1.14344i | ||||
\(302\) | 1.09786 | + | 2.90141i | 0.0631750 | + | 0.166957i | ||||
\(303\) | 4.56438 | − | 7.90574i | 0.262217 | − | 0.454173i | ||||
\(304\) | 20.7165 | + | 15.6651i | 1.18817 | + | 0.898456i | ||||
\(305\) | 4.19212 | + | 2.42032i | 0.240040 | + | 0.138587i | ||||
\(306\) | −16.8594 | − | 13.7865i | −0.963790 | − | 0.788119i | ||||
\(307\) | 0.0398307 | 0.00227326 | 0.00113663 | − | 0.999999i | \(-0.499638\pi\) | ||||
0.00113663 | + | 0.999999i | \(0.499638\pi\) | |||||||
\(308\) | 19.7283 | + | 22.3362i | 1.12412 | + | 1.27273i | ||||
\(309\) | −7.87599 | + | 4.54720i | −0.448049 | + | 0.258681i | ||||
\(310\) | 1.39355 | + | 3.68284i | 0.0791484 | + | 0.209172i | ||||
\(311\) | 11.5568 | 0.655328 | 0.327664 | − | 0.944794i | \(-0.393739\pi\) | ||||
0.327664 | + | 0.944794i | \(0.393739\pi\) | |||||||
\(312\) | 7.81937 | + | 5.57365i | 0.442685 | + | 0.315546i | ||||
\(313\) | −15.1522 | −0.856451 | −0.428226 | − | 0.903672i | \(-0.640861\pi\) | ||||
−0.428226 | + | 0.903672i | \(0.640861\pi\) | |||||||
\(314\) | −10.8005 | − | 28.5432i | −0.609506 | − | 1.61079i | ||||
\(315\) | 5.95989 | − | 3.44094i | 0.335802 | − | 0.193875i | ||||
\(316\) | 22.0360 | − | 19.4631i | 1.23962 | − | 1.09489i | ||||
\(317\) | 21.4371 | 1.20403 | 0.602013 | − | 0.798486i | \(-0.294365\pi\) | ||||
0.602013 | + | 0.798486i | \(0.294365\pi\) | |||||||
\(318\) | 3.44005 | + | 2.81302i | 0.192908 | + | 0.157747i | ||||
\(319\) | 15.2644 | + | 8.81292i | 0.854643 | + | 0.493429i | ||||
\(320\) | −4.51477 | − | 6.60431i | −0.252383 | − | 0.369192i | ||||
\(321\) | 1.37640 | − | 2.38400i | 0.0768234 | − | 0.133062i | ||||
\(322\) | −11.9237 | − | 31.5117i | −0.664484 | − | 1.75608i | ||||
\(323\) | 23.6570 | + | 40.9751i | 1.31631 | + | 2.27992i | ||||
\(324\) | −3.42541 | − | 1.14930i | −0.190301 | − | 0.0638499i | ||||
\(325\) | 2.20289 | − | 2.85434i | 0.122194 | − | 0.158331i | ||||
\(326\) | −3.57773 | + | 21.9106i | −0.198152 | + | 1.21352i | ||||
\(327\) | −0.915926 | + | 0.528810i | −0.0506508 | + | 0.0292433i | ||||
\(328\) | 0.431131 | + | 11.3338i | 0.0238052 | + | 0.625803i | ||||
\(329\) | −11.9228 | + | 20.6509i | −0.657325 | + | 1.13852i | ||||
\(330\) | 6.01373 | + | 0.981968i | 0.331045 | + | 0.0540556i | ||||
\(331\) | 11.6860 | − | 20.2407i | 0.642319 | − | 1.11253i | −0.342595 | − | 0.939483i | \(-0.611306\pi\) |
0.984914 | − | 0.173046i | \(-0.0553609\pi\) | |||||||
\(332\) | −11.3180 | + | 9.99656i | −0.621157 | + | 0.548632i | ||||
\(333\) | 10.8868 | 0.596594 | ||||||||
\(334\) | −9.10653 | + | 11.1364i | −0.498287 | + | 0.609355i | ||||
\(335\) | −0.105635 | − | 0.182965i | −0.00577146 | − | 0.00999645i | ||||
\(336\) | −1.51496 | + | 12.1708i | −0.0826478 | + | 0.663971i | ||||
\(337\) | −32.2953 | −1.75924 | −0.879619 | − | 0.475680i | \(-0.842202\pi\) | ||||
−0.879619 | + | 0.475680i | \(0.842202\pi\) | |||||||
\(338\) | 10.6517 | + | 14.9847i | 0.579375 | + | 0.815061i | ||||
\(339\) | − | 7.73096i | − | 0.419888i | ||||||
\(340\) | −2.89362 | − | 14.2834i | −0.156928 | − | 0.774628i | ||||
\(341\) | −11.0340 | + | 6.37046i | −0.597522 | + | 0.344980i | ||||
\(342\) | 15.0231 | + | 12.2848i | 0.812356 | + | 0.664287i | ||||
\(343\) | 11.0594i | 0.597152i | ||||||||
\(344\) | −16.8404 | + | 10.5962i | −0.907976 | + | 0.571306i | ||||
\(345\) | −5.96601 | − | 3.44448i | −0.321199 | − | 0.185444i | ||||
\(346\) | 24.6259 | + | 4.02110i | 1.32390 | + | 0.216176i | ||||
\(347\) | −4.10416 | − | 2.36954i | −0.220323 | − | 0.127203i | 0.385777 | − | 0.922592i | \(-0.373933\pi\) |
−0.606100 | + | 0.795389i | \(0.707267\pi\) | |||||||
\(348\) | 1.44028 | + | 7.10949i | 0.0772071 | + | 0.381109i | ||||
\(349\) | −11.1002 | − | 19.2260i | −0.594177 | − | 1.02915i | −0.993662 | − | 0.112406i | \(-0.964144\pi\) |
0.399485 | − | 0.916740i | \(-0.369189\pi\) | |||||||
\(350\) | 4.54496 | + | 0.742136i | 0.242938 | + | 0.0396689i | ||||
\(351\) | 13.7430 | + | 10.6064i | 0.733549 | + | 0.566129i | ||||
\(352\) | 18.7357 | − | 17.8609i | 0.998615 | − | 0.951991i | ||||
\(353\) | 17.2525 | − | 9.96076i | 0.918260 | − | 0.530158i | 0.0351807 | − | 0.999381i | \(-0.488799\pi\) |
0.883080 | + | 0.469223i | \(0.155466\pi\) | |||||||
\(354\) | −0.905761 | − | 2.39372i | −0.0481407 | − | 0.127225i | ||||
\(355\) | −5.29581 | − | 3.05754i | −0.281072 | − | 0.162277i | ||||
\(356\) | −3.01099 | + | 8.97407i | −0.159582 | + | 0.475625i | ||||
\(357\) | −11.1713 | + | 19.3493i | −0.591248 | + | 1.02407i | ||||
\(358\) | 1.13575 | − | 1.38891i | 0.0600263 | − | 0.0734061i | ||||
\(359\) | − | 8.08438i | − | 0.426677i | −0.976978 | − | 0.213339i | \(-0.931566\pi\) | ||
0.976978 | − | 0.213339i | \(-0.0684337\pi\) | |||||||
\(360\) | −3.18339 | − | 5.05936i | −0.167779 | − | 0.266652i | ||||
\(361\) | −11.5802 | − | 20.0576i | −0.609486 | − | 1.05566i | ||||
\(362\) | −6.70969 | − | 17.7322i | −0.352654 | − | 0.931984i | ||||
\(363\) | 9.35833i | 0.491185i | ||||||||
\(364\) | −10.3701 | + | 21.0679i | −0.543540 | + | 1.10426i | ||||
\(365\) | 7.65793i | 0.400834i | ||||||||
\(366\) | −6.02877 | + | 2.28123i | −0.315129 | + | 0.119242i | ||||
\(367\) | 0.926465 | + | 1.60468i | 0.0483611 | + | 0.0837638i | 0.889193 | − | 0.457533i | \(-0.151267\pi\) |
−0.840832 | + | 0.541297i | \(0.817934\pi\) | |||||||
\(368\) | −26.9574 | + | 11.3898i | −1.40525 | + | 0.593734i | ||||
\(369\) | 8.47466i | 0.441173i | ||||||||
\(370\) | 5.63964 | + | 4.61170i | 0.293191 | + | 0.239751i | ||||
\(371\) | −5.43334 | + | 9.41083i | −0.282085 | + | 0.488586i | ||||
\(372\) | −4.97117 | − | 1.66793i | −0.257743 | − | 0.0864784i | ||||
\(373\) | −11.6966 | − | 6.75302i | −0.605625 | − | 0.349658i | 0.165626 | − | 0.986189i | \(-0.447036\pi\) |
−0.771251 | + | 0.636531i | \(0.780369\pi\) | |||||||
\(374\) | 44.1031 | − | 16.6882i | 2.28052 | − | 0.862926i | ||||
\(375\) | 0.815452 | − | 0.470802i | 0.0421098 | − | 0.0243121i | ||||
\(376\) | 18.3179 | + | 9.66673i | 0.944673 | + | 0.498524i | ||||
\(377\) | −1.85116 | + | 13.7643i | −0.0953397 | + | 0.708897i | ||||
\(378\) | −3.57322 | + | 21.8830i | −0.183787 | + | 1.12554i | ||||
\(379\) | 16.0577 | + | 27.8128i | 0.824830 | + | 1.42865i | 0.902049 | + | 0.431633i | \(0.142063\pi\) |
−0.0772193 | + | 0.997014i | \(0.524604\pi\) | |||||||
\(380\) | 2.57844 | + | 12.7277i | 0.132271 | + | 0.652916i | ||||
\(381\) | −3.69467 | − | 2.13312i | −0.189284 | − | 0.109283i | ||||
\(382\) | −0.249244 | + | 1.52641i | −0.0127524 | + | 0.0780980i | ||||
\(383\) | 31.7402 | + | 18.3252i | 1.62185 | + | 0.936375i | 0.986425 | + | 0.164212i | \(0.0525082\pi\) |
0.635424 | + | 0.772163i | \(0.280825\pi\) | |||||||
\(384\) | 10.6138 | + | 0.913089i | 0.541634 | + | 0.0465959i | ||||
\(385\) | 14.9006i | 0.759406i | ||||||||
\(386\) | 18.0292 | − | 22.0479i | 0.917663 | − | 1.12221i | ||||
\(387\) | −12.8749 | + | 7.43335i | −0.654470 | + | 0.377858i | ||||
\(388\) | 16.4612 | − | 3.33479i | 0.835689 | − | 0.169298i | ||||
\(389\) | − | 19.7184i | − | 0.999763i | −0.866094 | − | 0.499881i | \(-0.833377\pi\) | ||
0.866094 | − | 0.499881i | \(-0.166623\pi\) | |||||||
\(390\) | 1.08547 | + | 4.67694i | 0.0549647 | + | 0.236826i | ||||
\(391\) | −53.3116 | −2.69608 | ||||||||
\(392\) | −10.1855 | + | 0.387451i | −0.514446 | + | 0.0195692i | ||||
\(393\) | 8.53918 | + | 14.7903i | 0.430745 | + | 0.746072i | ||||
\(394\) | −14.2254 | − | 11.6325i | −0.716664 | − | 0.586036i | ||||
\(395\) | 14.7003 | 0.739655 | ||||||||
\(396\) | 14.4964 | − | 12.8038i | 0.728470 | − | 0.643415i | ||||
\(397\) | −5.90055 | + | 10.2200i | −0.296140 | + | 0.512929i | −0.975249 | − | 0.221108i | \(-0.929033\pi\) |
0.679109 | + | 0.734037i | \(0.262366\pi\) | |||||||
\(398\) | 0.917435 | − | 5.61852i | 0.0459869 | − | 0.281631i | ||||
\(399\) | 9.95451 | − | 17.2417i | 0.498349 | − | 0.863165i | ||||
\(400\) | 0.494087 | − | 3.96937i | 0.0247044 | − | 0.198468i | ||||
\(401\) | −15.0742 | + | 8.70308i | −0.752769 | + | 0.434611i | −0.826693 | − | 0.562653i | \(-0.809781\pi\) |
0.0739247 | + | 0.997264i | \(0.476448\pi\) | |||||||
\(402\) | 0.277656 | + | 0.0453378i | 0.0138482 | + | 0.00226124i | ||||
\(403\) | −7.94753 | − | 6.13364i | −0.395894 | − | 0.305538i | ||||
\(404\) | 6.16779 | − | 18.3827i | 0.306859 | − | 0.914573i | ||||
\(405\) | −0.903270 | − | 1.56451i | −0.0448838 | − | 0.0777411i | ||||
\(406\) | −16.5906 | + | 6.27771i | −0.823377 | + | 0.311558i | ||||
\(407\) | −11.7860 | + | 20.4140i | −0.584213 | + | 1.01189i | ||||
\(408\) | 17.1633 | + | 9.05744i | 0.849710 | + | 0.448410i | ||||
\(409\) | −5.92031 | − | 3.41809i | −0.292740 | − | 0.169014i | 0.346437 | − | 0.938073i | \(-0.387392\pi\) |
−0.639177 | + | 0.769060i | \(0.720725\pi\) | |||||||
\(410\) | −3.58989 | + | 4.39008i | −0.177292 | + | 0.216811i | ||||
\(411\) | 11.2549 | 0.555162 | ||||||||
\(412\) | −14.4781 | + | 12.7877i | −0.713286 | + | 0.630004i | ||||
\(413\) | 5.42011 | − | 3.12930i | 0.266706 | − | 0.153983i | ||||
\(414\) | −20.4513 | + | 7.73858i | −1.00513 | + | 0.380330i | ||||
\(415\) | −7.55031 | −0.370630 | ||||||||
\(416\) | 18.6285 | + | 8.30527i | 0.913339 | + | 0.407199i | ||||
\(417\) | 18.8134 | 0.921298 | ||||||||
\(418\) | −39.2994 | + | 14.8705i | −1.92220 | + | 0.727340i | ||||
\(419\) | 19.7820 | − | 11.4211i | 0.966412 | − | 0.557958i | 0.0682714 | − | 0.997667i | \(-0.478252\pi\) |
0.898140 | + | 0.439709i | \(0.144918\pi\) | |||||||
\(420\) | −4.59624 | + | 4.05959i | −0.224274 | + | 0.198088i | ||||
\(421\) | −30.1915 | −1.47144 | −0.735722 | − | 0.677283i | \(-0.763157\pi\) | ||||
−0.735722 | + | 0.677283i | \(0.763157\pi\) | |||||||
\(422\) | −19.0762 | + | 23.3282i | −0.928613 | + | 1.13560i | ||||
\(423\) | 13.4026 | + | 7.73797i | 0.651655 | + | 0.376233i | ||||
\(424\) | 8.34765 | + | 4.40523i | 0.405398 | + | 0.213937i | ||||
\(425\) | 3.64340 | − | 6.31055i | 0.176731 | − | 0.306107i | ||||
\(426\) | 7.61601 | − | 2.88182i | 0.368997 | − | 0.139625i | ||||
\(427\) | −7.88137 | − | 13.6509i | −0.381406 | − | 0.660615i | ||||
\(428\) | 1.85992 | − | 5.54337i | 0.0899025 | − | 0.267949i | ||||
\(429\) | −14.3691 | + | 5.90499i | −0.693747 | + | 0.285096i | ||||
\(430\) | −9.81832 | − | 1.60321i | −0.473482 | − | 0.0773137i | ||||
\(431\) | 6.22337 | − | 3.59306i | 0.299769 | − | 0.173072i | −0.342570 | − | 0.939492i | \(-0.611297\pi\) |
0.642339 | + | 0.766421i | \(0.277964\pi\) | |||||||
\(432\) | 19.1116 | + | 2.37892i | 0.919508 | + | 0.114456i | ||||
\(433\) | 17.2895 | − | 29.9463i | 0.830882 | − | 1.43913i | −0.0664584 | − | 0.997789i | \(-0.521170\pi\) |
0.897340 | − | 0.441340i | \(-0.145497\pi\) | |||||||
\(434\) | 2.06638 | − | 12.6548i | 0.0991892 | − | 0.607451i | ||||
\(435\) | −1.81348 | + | 3.14104i | −0.0869497 | + | 0.150601i | ||||
\(436\) | −1.68371 | + | 1.48712i | −0.0806351 | + | 0.0712203i | ||||
\(437\) | 47.5049 | 2.27247 | ||||||||
\(438\) | −7.89419 | − | 6.45531i | −0.377199 | − | 0.308447i | ||||
\(439\) | 1.44165 | + | 2.49701i | 0.0688063 | + | 0.119176i | 0.898376 | − | 0.439227i | \(-0.144748\pi\) |
−0.829570 | + | 0.558403i | \(0.811414\pi\) | |||||||
\(440\) | 12.9332 | − | 0.491972i | 0.616566 | − | 0.0234538i | ||||
\(441\) | −7.61605 | −0.362669 | ||||||||
\(442\) | 25.3715 | + | 27.1444i | 1.20680 | + | 1.29113i | ||||
\(443\) | 1.83786i | 0.0873193i | 0.999046 | + | 0.0436596i | \(0.0139017\pi\) | ||||
−0.999046 | + | 0.0436596i | \(0.986098\pi\) | |||||||
\(444\) | −9.50795 | + | 1.92617i | −0.451228 | + | 0.0914121i | ||||
\(445\) | −4.09878 | + | 2.36643i | −0.194301 | + | 0.112180i | ||||
\(446\) | −8.72738 | + | 10.6727i | −0.413254 | + | 0.505368i | ||||
\(447\) | 11.4327i | 0.540750i | ||||||||
\(448\) | 1.97904 | + | 25.9754i | 0.0935010 | + | 1.22722i | ||||
\(449\) | −9.68862 | − | 5.59373i | −0.457234 | − | 0.263984i | 0.253646 | − | 0.967297i | \(-0.418370\pi\) |
−0.710881 | + | 0.703313i | \(0.751703\pi\) | |||||||
\(450\) | 0.481651 | − | 2.94971i | 0.0227053 | − | 0.139051i | ||||
\(451\) | −15.8909 | − | 9.17464i | −0.748275 | − | 0.432017i | ||||
\(452\) | −3.26039 | − | 16.0939i | −0.153356 | − | 0.756994i | ||||
\(453\) | −1.03273 | − | 1.78875i | −0.0485221 | − | 0.0840428i | ||||
\(454\) | −2.65553 | + | 16.2629i | −0.124630 | + | 0.763256i | ||||
\(455\) | −10.8597 | + | 4.46278i | −0.509108 | + | 0.209218i | ||||
\(456\) | −15.2939 | − | 8.07089i | −0.716201 | − | 0.377954i | ||||
\(457\) | 16.7719 | − | 9.68325i | 0.784555 | − | 0.452963i | −0.0534869 | − | 0.998569i | \(-0.517034\pi\) |
0.838042 | + | 0.545605i | \(0.183700\pi\) | |||||||
\(458\) | −28.6774 | + | 10.8512i | −1.34001 | + | 0.507046i | ||||
\(459\) | 30.3839 | + | 17.5422i | 1.41820 | + | 0.818798i | ||||
\(460\) | −13.8724 | − | 4.65448i | −0.646803 | − | 0.217016i | ||||
\(461\) | 10.7162 | − | 18.5611i | 0.499105 | − | 0.864476i | −0.500894 | − | 0.865509i | \(-0.666995\pi\) |
0.999999 | + | 0.00103265i | \(0.000328703\pi\) | |||||||
\(462\) | −15.3603 | − | 12.5606i | −0.714627 | − | 0.584371i | ||||
\(463\) | − | 23.6913i | − | 1.10103i | −0.834825 | − | 0.550515i | \(-0.814431\pi\) | ||
0.834825 | − | 0.550515i | \(-0.185569\pi\) | |||||||
\(464\) | 5.99660 | + | 14.1928i | 0.278385 | + | 0.658882i | ||||
\(465\) | −1.31088 | − | 2.27051i | −0.0607907 | − | 0.105293i | ||||
\(466\) | −21.3686 | + | 8.08566i | −0.989880 | + | 0.374561i | ||||
\(467\) | − | 1.19692i | − | 0.0553869i | −0.999616 | − | 0.0276934i | \(-0.991184\pi\) | ||
0.999616 | − | 0.0276934i | \(-0.00881622\pi\) | |||||||
\(468\) | 13.6732 | + | 6.73025i | 0.632043 | + | 0.311106i | ||||
\(469\) | 0.687966i | 0.0317673i | ||||||||
\(470\) | 3.66502 | + | 9.68583i | 0.169055 | + | 0.446774i | ||||
\(471\) | 10.1598 | + | 17.5972i | 0.468137 | + | 0.810837i | ||||
\(472\) | −2.89507 | − | 4.60114i | −0.133257 | − | 0.211785i | ||||
\(473\) | − | 32.1893i | − | 1.48006i | ||||||
\(474\) | −12.3918 | + | 15.1539i | −0.569173 | + | 0.696041i | ||||
\(475\) | −3.24655 | + | 5.62320i | −0.148962 | + | 0.258010i | ||||
\(476\) | −15.0956 | + | 44.9916i | −0.691907 | + | 2.06219i | ||||
\(477\) | 6.10769 | + | 3.52628i | 0.279652 | + | 0.161457i | ||||
\(478\) | 0.490093 | + | 1.29521i | 0.0224163 | + | 0.0592413i | ||||
\(479\) | 9.74703 | − | 5.62745i | 0.445353 | − | 0.257125i | −0.260513 | − | 0.965470i | \(-0.583892\pi\) |
0.705866 | + | 0.708346i | \(0.250558\pi\) | |||||||
\(480\) | 3.67534 | + | 3.85534i | 0.167755 | + | 0.175971i | ||||
\(481\) | −18.4078 | − | 2.47567i | −0.839324 | − | 0.112881i | ||||
\(482\) | −14.9281 | − | 2.43758i | −0.679958 | − | 0.111029i | ||||
\(483\) | 11.2164 | + | 19.4273i | 0.510363 | + | 0.883974i | ||||
\(484\) | 3.94670 | + | 19.4817i | 0.179396 | + | 0.885531i | ||||
\(485\) | 7.27269 | + | 4.19889i | 0.330236 | + | 0.190662i | ||||
\(486\) | 22.5346 | + | 3.67962i | 1.02219 | + | 0.166911i | ||||
\(487\) | −10.4861 | − | 6.05415i | −0.475170 | − | 0.274340i | 0.243231 | − | 0.969968i | \(-0.421793\pi\) |
−0.718401 | + | 0.695629i | \(0.755126\pi\) | |||||||
\(488\) | −11.5883 | + | 7.29146i | −0.524578 | + | 0.330069i | ||||
\(489\) | − | 14.7816i | − | 0.668447i | ||||||
\(490\) | −3.94530 | − | 3.22618i | −0.178230 | − | 0.145744i | ||||
\(491\) | 2.03007 | − | 1.17206i | 0.0916159 | − | 0.0528945i | −0.453492 | − | 0.891260i | \(-0.649822\pi\) |
0.545108 | + | 0.838366i | \(0.316489\pi\) | |||||||
\(492\) | −1.49940 | − | 7.40130i | −0.0675980 | − | 0.333676i | ||||
\(493\) | 28.0680i | 1.26412i | ||||||||
\(494\) | −22.6080 | − | 24.1878i | −1.01718 | − | 1.08826i | ||||
\(495\) | 9.67060 | 0.434661 | ||||||||
\(496\) | −11.0522 | − | 1.37572i | −0.496256 | − | 0.0617715i | ||||
\(497\) | 9.95636 | + | 17.2449i | 0.446604 | + | 0.773541i | ||||
\(498\) | 6.36459 | − | 7.78326i | 0.285204 | − | 0.348776i | ||||
\(499\) | −0.0649069 | −0.00290563 | −0.00145282 | − | 0.999999i | \(-0.500462\pi\) | ||||
−0.00145282 | + | 0.999999i | \(0.500462\pi\) | |||||||
\(500\) | 1.49901 | − | 1.32399i | 0.0670380 | − | 0.0592107i | ||||
\(501\) | 4.78909 | − | 8.29495i | 0.213961 | − | 0.370591i | ||||
\(502\) | 2.28143 | + | 0.372530i | 0.101825 | + | 0.0166268i | ||||
\(503\) | −17.2819 | + | 29.9331i | −0.770560 | + | 1.33465i | 0.166697 | + | 0.986008i | \(0.446690\pi\) |
−0.937256 | + | 0.348641i | \(0.886643\pi\) | |||||||
\(504\) | 0.739899 | + | 19.4508i | 0.0329577 | + | 0.866410i | ||||
\(505\) | 8.39604 | − | 4.84746i | 0.373619 | − | 0.215709i | ||||
\(506\) | 7.62983 | − | 46.7263i | 0.339187 | − | 2.07724i | ||||
\(507\) | −8.60718 | − | 8.70372i | −0.382258 | − | 0.386546i | ||||
\(508\) | −8.59098 | − | 2.88246i | −0.381163 | − | 0.127888i | ||||
\(509\) | 4.66463 | + | 8.07937i | 0.206756 | + | 0.358112i | 0.950691 | − | 0.310140i | \(-0.100376\pi\) |
−0.743935 | + | 0.668252i | \(0.767043\pi\) | |||||||
\(510\) | 3.43402 | + | 9.07533i | 0.152061 | + | 0.401862i | ||||
\(511\) | 12.4684 | − | 21.5959i | 0.551569 | − | 0.955346i | ||||
\(512\) | 22.4804 | − | 2.57536i | 0.993502 | − | 0.113816i | ||||
\(513\) | −27.0745 | − | 15.6314i | −1.19537 | − | 0.690145i | ||||
\(514\) | 31.2919 | + | 25.5882i | 1.38022 | + | 1.12865i | ||||
\(515\) | −9.65843 | −0.425601 | ||||||||
\(516\) | 9.92910 | − | 8.76980i | 0.437104 | − | 0.386069i | ||||
\(517\) | −29.0191 | + | 16.7542i | −1.27626 | + | 0.736849i | ||||
\(518\) | −8.39557 | − | 22.1876i | −0.368880 | − | 0.974867i | ||||
\(519\) | −16.6134 | −0.729247 | ||||||||
\(520\) | 4.23208 | + | 9.27844i | 0.185589 | + | 0.406887i | ||||
\(521\) | 12.9021 | 0.565251 | 0.282626 | − | 0.959230i | \(-0.408795\pi\) | ||||
0.282626 | + | 0.959230i | \(0.408795\pi\) | |||||||
\(522\) | 4.07428 | + | 10.7674i | 0.178326 | + | 0.471276i | ||||
\(523\) | 6.38548 | − | 3.68666i | 0.279218 | − | 0.161206i | −0.353852 | − | 0.935302i | \(-0.615128\pi\) |
0.633069 | + | 0.774095i | \(0.281795\pi\) | |||||||
\(524\) | 24.0140 | + | 27.1884i | 1.04905 | + | 1.18773i | ||||
\(525\) | −3.06618 | −0.133819 | ||||||||
\(526\) | 1.29767 | + | 1.06114i | 0.0565812 | + | 0.0462681i | ||||
\(527\) | −17.5708 | − | 10.1445i | −0.765398 | − | 0.441903i | ||||
\(528\) | −10.3950 | + | 13.7469i | −0.452384 | + | 0.598258i | ||||
\(529\) | −15.2634 | + | 26.4369i | −0.663624 | + | 1.14943i | ||||
\(530\) | 1.67019 | + | 4.41393i | 0.0725484 | + | 0.191729i | ||||
\(531\) | −2.03094 | − | 3.51768i | −0.0881351 | − | 0.152654i | ||||
\(532\) | 13.4514 | − | 40.0910i | 0.583192 | − | 1.73817i | ||||
\(533\) | 1.92714 | − | 14.3292i | 0.0834738 | − | 0.620668i | ||||
\(534\) | 1.01566 | − | 6.22004i | 0.0439517 | − | 0.269167i | ||||
\(535\) | 2.53186 | − | 1.46177i | 0.109462 | − | 0.0631977i | ||||
\(536\) | 0.597130 | − | 0.0227145i | 0.0257921 | − | 0.000981116i | ||||
\(537\) | −0.597287 | + | 1.03453i | −0.0257748 | + | 0.0446433i | ||||
\(538\) | 28.9554 | + | 4.72806i | 1.24836 | + | 0.203841i | ||||
\(539\) | 8.24511 | − | 14.2810i | 0.355142 | − | 0.615124i | ||||
\(540\) | 6.37473 | + | 7.21742i | 0.274325 | + | 0.310588i | ||||
\(541\) | 10.9267 | 0.469775 | 0.234888 | − | 0.972023i | \(-0.424528\pi\) | ||||
0.234888 | + | 0.972023i | \(0.424528\pi\) | |||||||
\(542\) | 4.12883 | − | 5.04914i | 0.177348 | − | 0.216879i | ||||
\(543\) | 6.31165 | + | 10.9321i | 0.270859 | + | 0.469141i | ||||
\(544\) | 39.5495 | + | 11.6170i | 1.69567 | + | 0.498074i | ||||
\(545\) | −1.12321 | −0.0481131 | ||||||||
\(546\) | 4.55376 | − | 14.9566i | 0.194883 | − | 0.640085i | ||||
\(547\) | − | 37.9154i | − | 1.62114i | −0.585639 | − | 0.810572i | \(-0.699157\pi\) | ||
0.585639 | − | 0.810572i | \(-0.300843\pi\) | |||||||
\(548\) | 23.4298 | − | 4.74654i | 1.00087 | − | 0.202762i | ||||
\(549\) | −8.85955 | + | 5.11506i | −0.378116 | + | 0.218306i | ||||
\(550\) | 5.00960 | + | 4.09650i | 0.213610 | + | 0.174675i | ||||
\(551\) | − | 25.0108i | − | 1.06550i | ||||||
\(552\) | 16.4919 | − | 10.3768i | 0.701942 | − | 0.441668i | ||||
\(553\) | −41.4560 | − | 23.9346i | −1.76289 | − | 1.01780i | ||||
\(554\) | −27.4639 | − | 4.48451i | −1.16683 | − | 0.190529i | ||||
\(555\) | −4.20070 | − | 2.42528i | −0.178310 | − | 0.102947i | ||||
\(556\) | 39.1649 | − | 7.93423i | 1.66096 | − | 0.336486i | ||||
\(557\) | −7.58932 | − | 13.1451i | −0.321570 | − | 0.556975i | 0.659242 | − | 0.751931i | \(-0.270877\pi\) |
−0.980812 | + | 0.194955i | \(0.937544\pi\) | |||||||
\(558\) | −8.21306 | − | 1.34109i | −0.347686 | − | 0.0567729i | ||||
\(559\) | 23.4597 | − | 9.64079i | 0.992241 | − | 0.407762i | ||||
\(560\) | −7.85616 | + | 10.3894i | −0.331983 | + | 0.439034i | ||||
\(561\) | −27.1901 | + | 15.6982i | −1.14797 | + | 0.662778i | ||||
\(562\) | 11.5001 | + | 30.3921i | 0.485101 | + | 1.28201i | ||||
\(563\) | −9.61390 | − | 5.55059i | −0.405178 | − | 0.233929i | 0.283538 | − | 0.958961i | \(-0.408492\pi\) |
−0.688716 | + | 0.725032i | \(0.741825\pi\) | |||||||
\(564\) | −13.0741 | − | 4.38664i | −0.550520 | − | 0.184711i | ||||
\(565\) | 4.10521 | − | 7.11043i | 0.172707 | − | 0.299138i | ||||
\(566\) | 15.9544 | − | 19.5106i | 0.670614 | − | 0.820093i | ||||
\(567\) | 5.88270i | 0.247050i | ||||||||
\(568\) | 14.6393 | − | 9.21114i | 0.614249 | − | 0.386491i | ||||
\(569\) | −2.01815 | − | 3.49553i | −0.0846051 | − | 0.146540i | 0.820618 | − | 0.571477i | \(-0.193630\pi\) |
−0.905223 | + | 0.424937i | \(0.860296\pi\) | |||||||
\(570\) | −3.05998 | − | 8.08683i | −0.128168 | − | 0.338720i | ||||
\(571\) | − | 12.7832i | − | 0.534960i | −0.963563 | − | 0.267480i | \(-0.913809\pi\) | ||
0.963563 | − | 0.267480i | \(-0.0861909\pi\) | |||||||
\(572\) | −27.4225 | + | 18.3526i | −1.14659 | + | 0.767361i | ||||
\(573\) | − | 1.02977i | − | 0.0430191i | ||||||
\(574\) | 17.2715 | − | 6.53538i | 0.720900 | − | 0.272781i | ||||
\(575\) | −3.65810 | − | 6.33601i | −0.152553 | − | 0.264230i | ||||
\(576\) | 16.8582 | − | 1.28441i | 0.702425 | − | 0.0535172i | ||||
\(577\) | − | 25.9751i | − | 1.08136i | −0.841229 | − | 0.540679i | \(-0.818168\pi\) | ||
0.841229 | − | 0.540679i | \(-0.181832\pi\) | |||||||
\(578\) | 39.5188 | + | 32.3157i | 1.64377 | + | 1.34416i | ||||
\(579\) | −9.48150 | + | 16.4224i | −0.394038 | + | 0.682493i | ||||
\(580\) | −2.45053 | + | 7.30365i | −0.101753 | + | 0.303268i | ||||
\(581\) | 21.2924 | + | 12.2932i | 0.883358 | + | 0.510007i | ||||
\(582\) | −10.4590 | + | 3.95758i | −0.433540 | + | 0.164047i | ||||
\(583\) | −13.2243 | + | 7.63507i | −0.547696 | + | 0.316212i | ||||
\(584\) | −19.1561 | − | 10.1091i | −0.792686 | − | 0.418317i | ||||
\(585\) | 2.89637 | + | 7.04798i | 0.119750 | + | 0.291398i | ||||
\(586\) | −0.875393 | + | 5.36105i | −0.0361622 | + | 0.221463i | ||||
\(587\) | −14.5416 | − | 25.1867i | −0.600194 | − | 1.03957i | −0.992791 | − | 0.119856i | \(-0.961757\pi\) |
0.392597 | − | 0.919711i | \(-0.371577\pi\) | |||||||
\(588\) | 6.65144 | − | 1.34748i | 0.274301 | − | 0.0555693i | ||||
\(589\) | 15.6570 | + | 9.03958i | 0.645136 | + | 0.372469i | ||||
\(590\) | 0.438029 | − | 2.68256i | 0.0180334 | − | 0.110439i | ||||
\(591\) | 10.5958 | + | 6.11749i | 0.435853 | + | 0.251640i | ||||
\(592\) | −18.9808 | + | 8.01961i | −0.780108 | + | 0.329604i | ||||
\(593\) | 25.3253i | 1.03998i | 0.854171 | + | 0.519992i | \(0.174065\pi\) | ||||
−0.854171 | + | 0.519992i | \(0.825935\pi\) | |||||||
\(594\) | −19.7237 | + | 24.1201i | −0.809274 | + | 0.989661i | ||||
\(595\) | −20.5493 | + | 11.8641i | −0.842438 | + | 0.486382i | ||||
\(596\) | 4.82155 | + | 23.8001i | 0.197498 | + | 0.974888i | ||||
\(597\) | 3.79043i | 0.155132i | ||||||||
\(598\) | 36.3395 | − | 8.43400i | 1.48603 | − | 0.344892i | ||||
\(599\) | 17.8764 | 0.730409 | 0.365205 | − | 0.930927i | \(-0.380999\pi\) | ||||
0.365205 | + | 0.930927i | \(0.380999\pi\) | |||||||
\(600\) | 0.101236 | + | 2.66133i | 0.00413292 | + | 0.108648i | ||||
\(601\) | −10.6079 | − | 18.3734i | −0.432705 | − | 0.749467i | 0.564400 | − | 0.825501i | \(-0.309108\pi\) |
−0.997105 | + | 0.0760342i | \(0.975774\pi\) | |||||||
\(602\) | 25.0781 | + | 20.5070i | 1.02211 | + | 0.835805i | ||||
\(603\) | 0.446494 | 0.0181827 | ||||||||
\(604\) | −2.90427 | − | 3.28819i | −0.118173 | − | 0.133794i | ||||
\(605\) | −4.96936 | + | 8.60718i | −0.202033 | + | 0.349932i | ||||
\(606\) | −2.08049 | + | 12.7413i | −0.0845142 | + | 0.517579i | ||||
\(607\) | 3.60796 | − | 6.24918i | 0.146443 | − | 0.253646i | −0.783468 | − | 0.621433i | \(-0.786551\pi\) |
0.929910 | + | 0.367786i | \(0.119884\pi\) | |||||||
\(608\) | −35.2417 | − | 10.3517i | −1.42924 | − | 0.419815i | ||||
\(609\) | 10.2283 | − | 5.90530i | 0.414471 | − | 0.239295i | ||||
\(610\) | −6.75622 | − | 1.10321i | −0.273551 | − | 0.0446676i | ||||
\(611\) | −20.9019 | − | 16.1314i | −0.845600 | − | 0.652606i | ||||
\(612\) | 29.1998 | + | 9.79717i | 1.18033 | + | 0.396027i | ||||
\(613\) | −6.41919 | − | 11.1184i | −0.259269 | − | 0.449067i | 0.706777 | − | 0.707436i | \(-0.250148\pi\) |
−0.966046 | + | 0.258369i | \(0.916815\pi\) | |||||||
\(614\) | −0.0526836 | + | 0.0199350i | −0.00212614 | + | 0.000804510i | ||||
\(615\) | 1.88791 | − | 3.26996i | 0.0761280 | − | 0.131858i | ||||
\(616\) | −37.2735 | − | 19.6700i | −1.50179 | − | 0.792528i | ||||
\(617\) | −15.5078 | − | 8.95345i | −0.624322 | − | 0.360452i | 0.154228 | − | 0.988035i | \(-0.450711\pi\) |
−0.778550 | + | 0.627583i | \(0.784044\pi\) | |||||||
\(618\) | 8.14164 | − | 9.95641i | 0.327505 | − | 0.400506i | ||||
\(619\) | −21.6358 | −0.869618 | −0.434809 | − | 0.900523i | \(-0.643184\pi\) | ||||
−0.434809 | + | 0.900523i | \(0.643184\pi\) | |||||||
\(620\) | −3.68647 | − | 4.17380i | −0.148052 | − | 0.167624i | ||||
\(621\) | 30.5065 | − | 17.6129i | 1.22418 | − | 0.706782i | ||||
\(622\) | −15.2861 | + | 5.78411i | −0.612916 | + | 0.231922i | ||||
\(623\) | 15.4118 | 0.617461 | ||||||||
\(624\) | −13.1322 | − | 3.45868i | −0.525707 | − | 0.138458i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 20.0416 | − | 7.58355i | 0.801024 | − | 0.303100i | ||||
\(627\) | 24.2285 | − | 13.9883i | 0.967593 | − | 0.558640i | ||||
\(628\) | 28.5714 | + | 32.3483i | 1.14012 | + | 1.29084i | ||||
\(629\) | −37.5370 | −1.49670 | ||||||||
\(630\) | −6.16091 | + | 7.53418i | −0.245457 | + | 0.300169i | ||||
\(631\) | 11.0070 | + | 6.35490i | 0.438182 | + | 0.252985i | 0.702826 | − | 0.711361i | \(-0.251921\pi\) |
−0.264644 | + | 0.964346i | \(0.585254\pi\) | |||||||
\(632\) | −19.4057 | + | 36.7726i | −0.771916 | + | 1.46273i | ||||
\(633\) | 10.0321 | − | 17.3761i | 0.398739 | − | 0.690637i | ||||
\(634\) | −28.3546 | + | 10.7291i | −1.12610 | + | 0.426107i | ||||
\(635\) | −2.26541 | − | 3.92381i | −0.0899002 | − | 0.155712i | ||||
\(636\) | −5.95801 | − | 1.99904i | −0.236251 | − | 0.0792671i | ||||
\(637\) | 12.8775 | + | 1.73189i | 0.510224 | + | 0.0686202i | ||||
\(638\) | −24.6009 | − | 4.01702i | −0.973958 | − | 0.159035i | ||||
\(639\) | 11.1921 | − | 6.46174i | 0.442751 | − | 0.255623i | ||||
\(640\) | 9.27704 | + | 6.47584i | 0.366707 | + | 0.255980i | ||||
\(641\) | 23.4415 | − | 40.6018i | 0.925882 | − | 1.60367i | 0.135745 | − | 0.990744i | \(-0.456657\pi\) |
0.790137 | − | 0.612931i | \(-0.210009\pi\) | |||||||
\(642\) | −0.627380 | + | 3.84218i | −0.0247607 | + | 0.151639i | ||||
\(643\) | −4.08952 | + | 7.08325i | −0.161275 | + | 0.279336i | −0.935326 | − | 0.353787i | \(-0.884894\pi\) |
0.774051 | + | 0.633123i | \(0.218227\pi\) | |||||||
\(644\) | 31.5428 | + | 35.7125i | 1.24296 | + | 1.40727i | ||||
\(645\) | 6.62375 | 0.260810 | ||||||||
\(646\) | −51.7986 | − | 42.3572i | −2.03799 | − | 1.66652i | ||||
\(647\) | 0.875253 | + | 1.51598i | 0.0344097 | + | 0.0595994i | 0.882717 | − | 0.469904i | \(-0.155712\pi\) |
−0.848308 | + | 0.529504i | \(0.822378\pi\) | |||||||
\(648\) | 5.10597 | − | 0.194228i | 0.200582 | − | 0.00763001i | ||||
\(649\) | 8.79474 | 0.345224 | ||||||||
\(650\) | −1.48516 | + | 4.87794i | −0.0582527 | + | 0.191329i | ||||
\(651\) | 8.53734i | 0.334605i | ||||||||
\(652\) | −6.23387 | − | 30.7716i | −0.244137 | − | 1.20511i | ||||
\(653\) | −28.9507 | + | 16.7147i | −1.13293 | + | 0.654096i | −0.944669 | − | 0.328024i | \(-0.893617\pi\) |
−0.188258 | + | 0.982120i | \(0.560284\pi\) | |||||||
\(654\) | 0.946820 | − | 1.15787i | 0.0370236 | − | 0.0452761i | ||||
\(655\) | 18.1375i | 0.708692i | ||||||||
\(656\) | −6.24273 | − | 14.7753i | −0.243737 | − | 0.576878i | ||||
\(657\) | −14.0159 | − | 8.09207i | −0.546811 | − | 0.315702i | ||||
\(658\) | 5.43454 | − | 33.2820i | 0.211860 | − | 1.29747i | ||||
\(659\) | −24.5902 | − | 14.1972i | −0.957899 | − | 0.553043i | −0.0623733 | − | 0.998053i | \(-0.519867\pi\) |
−0.895526 | + | 0.445010i | \(0.853200\pi\) | |||||||
\(660\) | −8.44577 | + | 1.71099i | −0.328751 | + | 0.0666002i | ||||
\(661\) | −16.0451 | − | 27.7908i | −0.624080 | − | 1.08094i | −0.988718 | − | 0.149789i | \(-0.952140\pi\) |
0.364638 | − | 0.931149i | \(-0.381193\pi\) | |||||||
\(662\) | −5.32659 | + | 32.6209i | −0.207024 | + | 1.26785i | ||||
\(663\) | −19.5844 | − | 15.1146i | −0.760596 | − | 0.587003i | ||||
\(664\) | 9.96703 | − | 18.8869i | 0.386796 | − | 0.732955i | ||||
\(665\) | 18.3110 | − | 10.5719i | 0.710071 | − | 0.409960i | ||||
\(666\) | −14.3999 | + | 5.44878i | −0.557984 | + | 0.211136i | ||||
\(667\) | 24.4057 | + | 14.0906i | 0.944991 | + | 0.545591i | ||||
\(668\) | 6.47144 | − | 19.2877i | 0.250388 | − | 0.746264i | ||||
\(669\) | 4.58970 | − | 7.94959i | 0.177448 | − | 0.307349i | ||||
\(670\) | 0.231295 | + | 0.189137i | 0.00893570 | + | 0.00730698i | ||||
\(671\) | − | 22.1502i | − | 0.855099i | ||||||
\(672\) | −4.08757 | − | 16.8564i | −0.157681 | − | 0.650249i | ||||
\(673\) | 22.3377 | + | 38.6901i | 0.861056 | + | 1.49139i | 0.870911 | + | 0.491441i | \(0.163530\pi\) |
−0.00985491 | + | 0.999951i | \(0.503137\pi\) | |||||||
\(674\) | 42.7166 | − | 16.1636i | 1.64538 | − | 0.622597i | ||||
\(675\) | 4.81478i | 0.185321i | ||||||||
\(676\) | −21.5886 | − | 14.4890i | −0.830331 | − | 0.557270i | ||||
\(677\) | 38.4184i | 1.47654i | 0.674506 | + | 0.738270i | \(0.264357\pi\) | ||||
−0.674506 | + | 0.738270i | \(0.735643\pi\) | |||||||
\(678\) | 3.86929 | + | 10.2257i | 0.148599 | + | 0.392714i | ||||
\(679\) | −13.6730 | − | 23.6823i | −0.524722 | − | 0.908844i | ||||
\(680\) | 10.9761 | + | 17.4443i | 0.420915 | + | 0.668959i | ||||
\(681\) | − | 10.9715i | − | 0.420428i | ||||||
\(682\) | 11.4061 | − | 13.9485i | 0.436763 | − | 0.534117i | ||||
\(683\) | −11.6110 | + | 20.1108i | −0.444281 | + | 0.769518i | −0.998002 | − | 0.0631848i | \(-0.979874\pi\) |
0.553721 | + | 0.832703i | \(0.313208\pi\) | |||||||
\(684\) | −26.0193 | − | 8.73005i | −0.994875 | − | 0.333802i | ||||
\(685\) | 10.3515 | + | 5.97644i | 0.395511 | + | 0.228348i | ||||
\(686\) | −5.53516 | − | 14.6282i | −0.211333 | − | 0.558506i | ||||
\(687\) | 17.6799 | − | 10.2075i | 0.674531 | − | 0.389441i | ||||
\(688\) | 16.9714 | − | 22.4439i | 0.647028 | − | 0.855667i | ||||
\(689\) | −9.52521 | − | 7.35124i | −0.362881 | − | 0.280060i | ||||
\(690\) | 9.61511 | + | 1.57003i | 0.366041 | + | 0.0597700i | ||||
\(691\) | 24.0825 | + | 41.7121i | 0.916140 | + | 1.58680i | 0.805223 | + | 0.592972i | \(0.202045\pi\) |
0.110917 | + | 0.993830i | \(0.464621\pi\) | |||||||
\(692\) | −34.5849 | + | 7.00640i | −1.31472 | + | 0.266343i | ||||
\(693\) | −27.2718 | − | 15.7454i | −1.03597 | − | 0.598117i | ||||
\(694\) | 6.61446 | + | 1.08006i | 0.251081 | + | 0.0409985i | ||||
\(695\) | 17.3034 | + | 9.99011i | 0.656355 | + | 0.378947i | ||||
\(696\) | −5.46329 | − | 8.68280i | −0.207086 | − | 0.329121i | ||||
\(697\) | − | 29.2200i | − | 1.10679i | ||||||
\(698\) | 24.3045 | + | 19.8745i | 0.919940 | + | 0.752262i | ||||
\(699\) | 13.1740 | − | 7.60599i | 0.498285 | − | 0.287685i | ||||
\(700\) | −6.38301 | + | 1.29310i | −0.241255 | + | 0.0488747i | ||||
\(701\) | 40.5311i | 1.53084i | 0.643533 | + | 0.765419i | \(0.277468\pi\) | ||||
−0.643533 | + | 0.765419i | \(0.722532\pi\) | |||||||
\(702\) | −23.4862 | − | 7.15071i | −0.886430 | − | 0.269886i | ||||
\(703\) | 33.4484 | 1.26153 | ||||||||
\(704\) | −15.8422 | + | 33.0015i | −0.597076 | + | 1.24379i | ||||
\(705\) | −3.44760 | − | 5.97142i | −0.129844 | − | 0.224897i | ||||
\(706\) | −17.8345 | + | 21.8098i | −0.671209 | + | 0.820821i | ||||
\(707\) | −31.5699 | −1.18731 | ||||||||
\(708\) | 2.39608 | + | 2.71282i | 0.0900502 | + | 0.101954i | ||||
\(709\) | 18.1735 | − | 31.4774i | 0.682520 | − | 1.18216i | −0.291690 | − | 0.956513i | \(-0.594218\pi\) |
0.974209 | − | 0.225646i | \(-0.0724491\pi\) | |||||||
\(710\) | 8.53498 | + | 1.39366i | 0.320312 | + | 0.0523030i | ||||
\(711\) | −15.5337 | + | 26.9052i | −0.582560 | + | 1.00902i | ||||
\(712\) | −0.508849 | − | 13.3769i | −0.0190699 | − | 0.501320i | ||||
\(713\) | −17.6417 | + | 10.1855i | −0.660688 | + | 0.381449i | ||||
\(714\) | 5.09200 | − | 31.1842i | 0.190563 | − | 1.16704i | ||||
\(715\) | −16.3514 | − | 2.19910i | −0.611507 | − | 0.0822417i | ||||
\(716\) | −0.807106 | + | 2.40553i | −0.0301630 | + | 0.0898988i | ||||
\(717\) | −0.461019 | − | 0.798509i | −0.0172171 | − | 0.0298208i | ||||
\(718\) | 4.04617 | + | 10.6931i | 0.151002 | + | 0.399064i | ||||
\(719\) | −21.8623 | + | 37.8667i | −0.815327 | + | 1.41219i | 0.0937658 | + | 0.995594i | \(0.470110\pi\) |
−0.909093 | + | 0.416594i | \(0.863224\pi\) | |||||||
\(720\) | 6.74281 | + | 5.09870i | 0.251290 | + | 0.190017i | ||||
\(721\) | 27.2374 | + | 15.7255i | 1.01438 | + | 0.585650i | ||||
\(722\) | 25.3557 | + | 20.7341i | 0.943642 | + | 0.771643i | ||||
\(723\) | 10.0710 | 0.374544 | ||||||||
\(724\) | 17.7497 | + | 20.0960i | 0.659662 | + | 0.746864i | ||||
\(725\) | −3.33584 | + | 1.92595i | −0.123890 | + | 0.0715279i | ||||
\(726\) | −4.68377 | − | 12.3782i | −0.173831 | − | 0.459397i | ||||
\(727\) | −4.55677 | −0.169001 | −0.0845005 | − | 0.996423i | \(-0.526929\pi\) | ||||
−0.0845005 | + | 0.996423i | \(0.526929\pi\) | |||||||
\(728\) | 3.17209 | − | 33.0564i | 0.117565 | − | 1.22515i | ||||
\(729\) | −9.78292 | −0.362330 | ||||||||
\(730\) | −3.83274 | − | 10.1291i | −0.141856 | − | 0.374893i | ||||
\(731\) | 44.3919 | − | 25.6297i | 1.64189 | − | 0.947947i | ||||
\(732\) | 6.83245 | − | 6.03471i | 0.252535 | − | 0.223049i | ||||
\(733\) | −12.6156 | −0.465968 | −0.232984 | − | 0.972481i | \(-0.574849\pi\) | ||||
−0.232984 | + | 0.972481i | \(0.574849\pi\) | |||||||
\(734\) | −2.02856 | − | 1.65881i | −0.0748754 | − | 0.0612278i | ||||
\(735\) | 2.93867 | + | 1.69664i | 0.108394 | + | 0.0625815i | ||||
\(736\) | 29.9557 | − | 28.5571i | 1.10418 | − | 1.05263i | ||||
\(737\) | −0.483373 | + | 0.837227i | −0.0178053 | + | 0.0308397i | ||||
\(738\) | −4.24150 | − | 11.2093i | −0.156132 | − | 0.412621i | ||||
\(739\) | 16.5996 | + | 28.7514i | 0.610626 | + | 1.05764i | 0.991135 | + | 0.132858i | \(0.0424156\pi\) |
−0.380509 | + | 0.924777i | \(0.624251\pi\) | |||||||
\(740\) | −9.76761 | − | 3.27724i | −0.359065 | − | 0.120474i | ||||
\(741\) | 17.4513 | + | 13.4683i | 0.641088 | + | 0.494771i | ||||
\(742\) | 2.47658 | − | 15.1670i | 0.0909180 | − | 0.556796i | ||||
\(743\) | −11.7877 | + | 6.80565i | −0.432450 | + | 0.249675i | −0.700390 | − | 0.713760i | \(-0.746991\pi\) |
0.267940 | + | 0.963436i | \(0.413657\pi\) | |||||||
\(744\) | 7.41011 | − | 0.281876i | 0.271668 | − | 0.0103341i | ||||
\(745\) | −6.07088 | + | 10.5151i | −0.222420 | + | 0.385243i | ||||
\(746\) | 18.8508 | + | 3.07810i | 0.690175 | + | 0.112697i | ||||
\(747\) | 7.97835 | − | 13.8189i | 0.291913 | − | 0.505607i | ||||
\(748\) | −49.9824 | + | 44.1466i | −1.82754 | + | 1.61416i | ||||
\(749\) | −9.52001 | −0.347854 | ||||||||
\(750\) | −0.842957 | + | 1.03085i | −0.0307805 | + | 0.0376414i | ||||
\(751\) | 1.60795 | + | 2.78505i | 0.0586748 | + | 0.101628i | 0.893871 | − | 0.448325i | \(-0.147979\pi\) |
−0.835196 | + | 0.549952i | \(0.814646\pi\) | |||||||
\(752\) | −29.0670 | − | 3.61812i | −1.05996 | − | 0.131939i | ||||
\(753\) | −1.53913 | −0.0560889 | ||||||||
\(754\) | −4.44041 | − | 19.1324i | −0.161710 | − | 0.696760i | ||||
\(755\) | − | 2.19357i | − | 0.0798321i | ||||||
\(756\) | −6.22601 | − | 30.7328i | −0.226438 | − | 1.11774i | ||||
\(757\) | −18.8023 | + | 10.8555i | −0.683381 | + | 0.394550i | −0.801128 | − | 0.598493i | \(-0.795766\pi\) |
0.117746 | + | 0.993044i | \(0.462433\pi\) | |||||||
\(758\) | −35.1595 | − | 28.7509i | −1.27705 | − | 1.04428i | ||||
\(759\) | 31.5230i | 1.14421i | ||||||||
\(760\) | −9.78058 | − | 15.5443i | −0.354779 | − | 0.563850i | ||||
\(761\) | 9.68269 | + | 5.59031i | 0.350997 | + | 0.202648i | 0.665124 | − | 0.746733i | \(-0.268378\pi\) |
−0.314127 | + | 0.949381i | \(0.601712\pi\) | |||||||
\(762\) | 5.95452 | + | 0.972299i | 0.215709 | + | 0.0352227i | ||||
\(763\) | 3.16754 | + | 1.82878i | 0.114672 | + | 0.0662062i | ||||
\(764\) | −0.434285 | − | 2.14371i | −0.0157119 | − | 0.0775568i | ||||
\(765\) | 7.69990 | + | 13.3366i | 0.278390 | + | 0.482186i | ||||
\(766\) | −51.1541 | − | 8.35283i | −1.84827 | − | 0.301800i | ||||
\(767\) | 2.63405 | + | 6.40965i | 0.0951101 | + | 0.231439i | ||||
\(768\) | −14.4958 | + | 4.10441i | −0.523072 | + | 0.148105i | ||||
\(769\) | 17.5967 | − | 10.1595i | 0.634553 | − | 0.366360i |