Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(3,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.o (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 57.2 | ||
Character | \(\chi\) | \(=\) | 170.57 |
Dual form | 170.2.o.a.3.2 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{15}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.382683 | − | 0.923880i | −0.270598 | − | 0.653281i | ||||
\(3\) | −0.572498 | + | 0.856804i | −0.330532 | + | 0.494676i | −0.959096 | − | 0.283082i | \(-0.908643\pi\) |
0.628564 | + | 0.777758i | \(0.283643\pi\) | |||||||
\(4\) | −0.707107 | + | 0.707107i | −0.353553 | + | 0.353553i | ||||
\(5\) | −1.01937 | + | 1.99020i | −0.455877 | + | 0.890043i | ||||
\(6\) | 1.01067 | + | 0.201035i | 0.412604 | + | 0.0820720i | ||||
\(7\) | 0.326988 | − | 1.64388i | 0.123590 | − | 0.621328i | −0.868489 | − | 0.495709i | \(-0.834908\pi\) |
0.992079 | − | 0.125619i | \(-0.0400917\pi\) | |||||||
\(8\) | 0.923880 | + | 0.382683i | 0.326641 | + | 0.135299i | ||||
\(9\) | 0.741692 | + | 1.79060i | 0.247231 | + | 0.596867i | ||||
\(10\) | 2.22880 | + | 0.180163i | 0.704808 | + | 0.0569725i | ||||
\(11\) | −1.12842 | + | 5.67293i | −0.340230 | + | 1.71045i | 0.310017 | + | 0.950731i | \(0.399665\pi\) |
−0.650247 | + | 0.759723i | \(0.725335\pi\) | |||||||
\(12\) | −0.201035 | − | 1.01067i | −0.0580337 | − | 0.291755i | ||||
\(13\) | 4.62429i | 1.28255i | 0.767312 | + | 0.641274i | \(0.221594\pi\) | ||||
−0.767312 | + | 0.641274i | \(0.778406\pi\) | |||||||
\(14\) | −1.64388 | + | 0.326988i | −0.439345 | + | 0.0873912i | ||||
\(15\) | −1.12162 | − | 2.01279i | −0.289600 | − | 0.519699i | ||||
\(16\) | − | 1.00000i | − | 0.250000i | ||||||
\(17\) | 1.53454 | − | 3.82690i | 0.372180 | − | 0.928161i | ||||
\(18\) | 1.37047 | − | 1.37047i | 0.323022 | − | 0.323022i | ||||
\(19\) | 0.932809 | − | 2.25200i | 0.214001 | − | 0.516644i | −0.780030 | − | 0.625742i | \(-0.784796\pi\) |
0.994031 | + | 0.109098i | \(0.0347962\pi\) | |||||||
\(20\) | −0.686475 | − | 2.12809i | −0.153501 | − | 0.475855i | ||||
\(21\) | 1.22128 | + | 1.22128i | 0.266505 | + | 0.266505i | ||||
\(22\) | 5.67293 | − | 1.12842i | 1.20947 | − | 0.240579i | ||||
\(23\) | 2.78006 | − | 1.85758i | 0.579684 | − | 0.387332i | −0.230881 | − | 0.972982i | \(-0.574161\pi\) |
0.810564 | + | 0.585650i | \(0.199161\pi\) | |||||||
\(24\) | −0.856804 | + | 0.572498i | −0.174894 | + | 0.116861i | ||||
\(25\) | −2.92176 | − | 4.05750i | −0.584351 | − | 0.811501i | ||||
\(26\) | 4.27229 | − | 1.76964i | 0.837864 | − | 0.347055i | ||||
\(27\) | −4.99082 | − | 0.992735i | −0.960483 | − | 0.191052i | ||||
\(28\) | 0.931182 | + | 1.39361i | 0.175977 | + | 0.263368i | ||||
\(29\) | −3.70873 | + | 5.55051i | −0.688695 | + | 1.03070i | 0.308151 | + | 0.951337i | \(0.400290\pi\) |
−0.996845 | + | 0.0793667i | \(0.974710\pi\) | |||||||
\(30\) | −1.43035 | + | 1.80650i | −0.261144 | + | 0.329820i | ||||
\(31\) | −0.914558 | − | 4.59779i | −0.164260 | − | 0.825788i | −0.971769 | − | 0.235934i | \(-0.924185\pi\) |
0.807510 | − | 0.589854i | \(-0.200815\pi\) | |||||||
\(32\) | −0.923880 | + | 0.382683i | −0.163320 | + | 0.0676495i | ||||
\(33\) | −4.21457 | − | 4.21457i | −0.733663 | − | 0.733663i | ||||
\(34\) | −4.12284 | + | 0.0467655i | −0.707061 | + | 0.00802021i | ||||
\(35\) | 2.93832 | + | 2.32649i | 0.496666 | + | 0.393249i | ||||
\(36\) | −1.79060 | − | 0.741692i | −0.298434 | − | 0.123615i | ||||
\(37\) | −1.36218 | − | 0.910181i | −0.223941 | − | 0.149633i | 0.438539 | − | 0.898712i | \(-0.355496\pi\) |
−0.662480 | + | 0.749079i | \(0.730496\pi\) | |||||||
\(38\) | −2.43755 | −0.395422 | ||||||||
\(39\) | −3.96211 | − | 2.64740i | −0.634445 | − | 0.423923i | ||||
\(40\) | −1.70339 | + | 1.44860i | −0.269330 | + | 0.229044i | ||||
\(41\) | 6.23402 | + | 9.32987i | 0.973591 | + | 1.45708i | 0.887508 | + | 0.460793i | \(0.152435\pi\) |
0.0860830 | + | 0.996288i | \(0.472565\pi\) | |||||||
\(42\) | 0.660953 | − | 1.59568i | 0.101987 | − | 0.246219i | ||||
\(43\) | 4.08928 | − | 9.87239i | 0.623609 | − | 1.50553i | −0.223827 | − | 0.974629i | \(-0.571855\pi\) |
0.847436 | − | 0.530897i | \(-0.178145\pi\) | |||||||
\(44\) | −3.21346 | − | 4.80928i | −0.484447 | − | 0.725026i | ||||
\(45\) | −4.31971 | − | 0.349180i | −0.643944 | − | 0.0520527i | ||||
\(46\) | −2.78006 | − | 1.85758i | −0.409898 | − | 0.273885i | ||||
\(47\) | 2.54171 | 0.370747 | 0.185374 | − | 0.982668i | \(-0.440650\pi\) | ||||
0.185374 | + | 0.982668i | \(0.440650\pi\) | |||||||
\(48\) | 0.856804 | + | 0.572498i | 0.123669 | + | 0.0826329i | ||||
\(49\) | 3.87174 | + | 1.60373i | 0.553106 | + | 0.229104i | ||||
\(50\) | −2.63054 | + | 4.25209i | −0.372014 | + | 0.601337i | ||||
\(51\) | 2.40039 | + | 3.50569i | 0.336121 | + | 0.490895i | ||||
\(52\) | −3.26987 | − | 3.26987i | −0.453449 | − | 0.453449i | ||||
\(53\) | −4.25536 | + | 1.76263i | −0.584519 | + | 0.242116i | −0.655290 | − | 0.755377i | \(-0.727454\pi\) |
0.0707718 | + | 0.997493i | \(0.477454\pi\) | |||||||
\(54\) | 0.992735 | + | 4.99082i | 0.135094 | + | 0.679164i | ||||
\(55\) | −10.1400 | − | 8.02861i | −1.36727 | − | 1.08258i | ||||
\(56\) | 0.931182 | − | 1.39361i | 0.124434 | − | 0.186229i | ||||
\(57\) | 1.39549 | + | 2.08850i | 0.184837 | + | 0.276628i | ||||
\(58\) | 6.54728 | + | 1.30233i | 0.859699 | + | 0.171005i | ||||
\(59\) | 9.68021 | − | 4.00967i | 1.26026 | − | 0.522015i | 0.350268 | − | 0.936650i | \(-0.386091\pi\) |
0.909988 | + | 0.414635i | \(0.136091\pi\) | |||||||
\(60\) | 2.21636 | + | 0.630150i | 0.286131 | + | 0.0813521i | ||||
\(61\) | 3.66782 | − | 2.45076i | 0.469616 | − | 0.313788i | −0.298148 | − | 0.954520i | \(-0.596369\pi\) |
0.767765 | + | 0.640732i | \(0.221369\pi\) | |||||||
\(62\) | −3.89782 | + | 2.60444i | −0.495024 | + | 0.330764i | ||||
\(63\) | 3.18606 | − | 0.633746i | 0.401405 | − | 0.0798445i | ||||
\(64\) | 0.707107 | + | 0.707107i | 0.0883883 | + | 0.0883883i | ||||
\(65\) | −9.20324 | − | 4.71388i | −1.14152 | − | 0.584684i | ||||
\(66\) | −2.28091 | + | 5.50661i | −0.280761 | + | 0.677816i | ||||
\(67\) | 1.91399 | − | 1.91399i | 0.233831 | − | 0.233831i | −0.580459 | − | 0.814290i | \(-0.697127\pi\) |
0.814290 | + | 0.580459i | \(0.197127\pi\) | |||||||
\(68\) | 1.62095 | + | 3.79111i | 0.196569 | + | 0.459740i | ||||
\(69\) | 3.44543i | 0.414781i | ||||||||
\(70\) | 1.02496 | − | 3.60496i | 0.122506 | − | 0.430875i | ||||
\(71\) | −8.05408 | + | 1.60206i | −0.955843 | + | 0.190129i | −0.648283 | − | 0.761400i | \(-0.724513\pi\) |
−0.307560 | + | 0.951529i | \(0.599513\pi\) | |||||||
\(72\) | 1.93813i | 0.228411i | ||||||||
\(73\) | 1.06890 | + | 5.37374i | 0.125106 | + | 0.628949i | 0.991555 | + | 0.129684i | \(0.0413964\pi\) |
−0.866450 | + | 0.499264i | \(0.833604\pi\) | |||||||
\(74\) | −0.319613 | + | 1.60680i | −0.0371543 | + | 0.186787i | ||||
\(75\) | 5.14918 | − | 0.180460i | 0.594576 | − | 0.0208378i | ||||
\(76\) | 0.932809 | + | 2.25200i | 0.107001 | + | 0.258322i | ||||
\(77\) | 8.95664 | + | 3.70996i | 1.02070 | + | 0.422789i | ||||
\(78\) | −0.929642 | + | 4.67362i | −0.105261 | + | 0.529184i | ||||
\(79\) | 4.50408 | + | 0.895917i | 0.506749 | + | 0.100799i | 0.441842 | − | 0.897093i | \(-0.354325\pi\) |
0.0649064 | + | 0.997891i | \(0.479325\pi\) | |||||||
\(80\) | 1.99020 | + | 1.01937i | 0.222511 | + | 0.113969i | ||||
\(81\) | −0.403592 | + | 0.403592i | −0.0448435 | + | 0.0448435i | ||||
\(82\) | 6.23402 | − | 9.32987i | 0.688432 | − | 1.03031i | ||||
\(83\) | 2.34465 | + | 5.66048i | 0.257358 | + | 0.621318i | 0.998762 | − | 0.0497411i | \(-0.0158396\pi\) |
−0.741404 | + | 0.671059i | \(0.765840\pi\) | |||||||
\(84\) | −1.72715 | −0.188448 | ||||||||
\(85\) | 6.05202 | + | 6.95507i | 0.656434 | + | 0.754383i | ||||
\(86\) | −10.6858 | −1.15228 | ||||||||
\(87\) | −2.63246 | − | 6.35531i | −0.282229 | − | 0.681361i | ||||
\(88\) | −3.21346 | + | 4.80928i | −0.342556 | + | 0.512671i | ||||
\(89\) | 10.2485 | − | 10.2485i | 1.08634 | − | 1.08634i | 0.0904408 | − | 0.995902i | \(-0.471172\pi\) |
0.995902 | − | 0.0904408i | \(-0.0288276\pi\) | |||||||
\(90\) | 1.33048 | + | 4.12452i | 0.140245 | + | 0.434762i | ||||
\(91\) | 7.60177 | + | 1.51209i | 0.796882 | + | 0.158510i | ||||
\(92\) | −0.652295 | + | 3.27931i | −0.0680065 | + | 0.341892i | ||||
\(93\) | 4.46299 | + | 1.84863i | 0.462790 | + | 0.191694i | ||||
\(94\) | −0.972672 | − | 2.34824i | −0.100323 | − | 0.242202i | ||||
\(95\) | 3.53104 | + | 4.15210i | 0.362277 | + | 0.425997i | ||||
\(96\) | 0.201035 | − | 1.01067i | 0.0205180 | − | 0.103151i | ||||
\(97\) | 1.86285 | + | 9.36520i | 0.189144 | + | 0.950892i | 0.952413 | + | 0.304811i | \(0.0985932\pi\) |
−0.763269 | + | 0.646081i | \(0.776407\pi\) | |||||||
\(98\) | − | 4.19074i | − | 0.423329i | ||||||
\(99\) | −10.9949 | + | 2.18702i | −1.10503 | + | 0.219804i | ||||
\(100\) | 4.93508 | + | 0.803094i | 0.493508 | + | 0.0803094i | ||||
\(101\) | − | 8.75461i | − | 0.871116i | −0.900161 | − | 0.435558i | \(-0.856551\pi\) | ||
0.900161 | − | 0.435558i | \(-0.143449\pi\) | |||||||
\(102\) | 2.32025 | − | 3.55924i | 0.229739 | − | 0.352417i | ||||
\(103\) | 6.22956 | − | 6.22956i | 0.613817 | − | 0.613817i | −0.330122 | − | 0.943938i | \(-0.607090\pi\) |
0.943938 | + | 0.330122i | \(0.107090\pi\) | |||||||
\(104\) | −1.76964 | + | 4.27229i | −0.173527 | + | 0.418932i | ||||
\(105\) | −3.67553 | + | 1.18565i | −0.358695 | + | 0.115707i | ||||
\(106\) | 3.25691 | + | 3.25691i | 0.316339 | + | 0.316339i | ||||
\(107\) | −12.8130 | + | 2.54866i | −1.23868 | + | 0.246388i | −0.770612 | − | 0.637305i | \(-0.780049\pi\) |
−0.468066 | + | 0.883693i | \(0.655049\pi\) | |||||||
\(108\) | 4.23101 | − | 2.82707i | 0.407129 | − | 0.272035i | ||||
\(109\) | 7.92144 | − | 5.29294i | 0.758737 | − | 0.506972i | −0.115003 | − | 0.993365i | \(-0.536688\pi\) |
0.873740 | + | 0.486394i | \(0.161688\pi\) | |||||||
\(110\) | −3.53707 | + | 12.4405i | −0.337246 | + | 1.18616i | ||||
\(111\) | 1.55969 | − | 0.646046i | 0.148040 | − | 0.0613200i | ||||
\(112\) | −1.64388 | − | 0.326988i | −0.155332 | − | 0.0308974i | ||||
\(113\) | 3.84589 | + | 5.75578i | 0.361791 | + | 0.541458i | 0.967055 | − | 0.254566i | \(-0.0819326\pi\) |
−0.605264 | + | 0.796024i | \(0.706933\pi\) | |||||||
\(114\) | 1.39549 | − | 2.08850i | 0.130700 | − | 0.195606i | ||||
\(115\) | 0.863025 | + | 7.42644i | 0.0804775 | + | 0.692519i | ||||
\(116\) | −1.30233 | − | 6.54728i | −0.120919 | − | 0.607899i | ||||
\(117\) | −8.28026 | + | 3.42980i | −0.765511 | + | 0.317085i | ||||
\(118\) | −7.40891 | − | 7.40891i | −0.682045 | − | 0.682045i | ||||
\(119\) | −5.78919 | − | 3.77394i | −0.530694 | − | 0.345957i | ||||
\(120\) | −0.265980 | − | 2.28880i | −0.0242806 | − | 0.208937i | ||||
\(121\) | −20.7462 | − | 8.59335i | −1.88602 | − | 0.781214i | ||||
\(122\) | −3.66782 | − | 2.45076i | −0.332069 | − | 0.221881i | ||||
\(123\) | −11.5628 | −1.04259 | ||||||||
\(124\) | 3.89782 | + | 2.60444i | 0.350035 | + | 0.233886i | ||||
\(125\) | 11.0536 | − | 1.67876i | 0.988663 | − | 0.150153i | ||||
\(126\) | −1.80476 | − | 2.70101i | −0.160780 | − | 0.240625i | ||||
\(127\) | −5.28908 | + | 12.7690i | −0.469330 | + | 1.13306i | 0.495127 | + | 0.868821i | \(0.335122\pi\) |
−0.964457 | + | 0.264242i | \(0.914878\pi\) | |||||||
\(128\) | 0.382683 | − | 0.923880i | 0.0338248 | − | 0.0816602i | ||||
\(129\) | 6.11760 | + | 9.15563i | 0.538624 | + | 0.806108i | ||||
\(130\) | −0.833125 | + | 10.3066i | −0.0730699 | + | 0.903949i | ||||
\(131\) | −0.0869490 | − | 0.0580974i | −0.00759677 | − | 0.00507600i | 0.551766 | − | 0.833999i | \(-0.313954\pi\) |
−0.559363 | + | 0.828923i | \(0.688954\pi\) | |||||||
\(132\) | 5.96031 | 0.518778 | ||||||||
\(133\) | −3.39700 | − | 2.26980i | −0.294557 | − | 0.196817i | ||||
\(134\) | −2.50074 | − | 1.03584i | −0.216031 | − | 0.0894831i | ||||
\(135\) | 7.06324 | − | 8.92074i | 0.607907 | − | 0.767775i | ||||
\(136\) | 2.88222 | − | 2.94836i | 0.247148 | − | 0.252819i | ||||
\(137\) | 4.08626 | + | 4.08626i | 0.349112 | + | 0.349112i | 0.859779 | − | 0.510666i | \(-0.170601\pi\) |
−0.510666 | + | 0.859779i | \(0.670601\pi\) | |||||||
\(138\) | 3.18316 | − | 1.31851i | 0.270969 | − | 0.112239i | ||||
\(139\) | 0.320189 | + | 1.60970i | 0.0271581 | + | 0.136533i | 0.991986 | − | 0.126351i | \(-0.0403265\pi\) |
−0.964828 | + | 0.262884i | \(0.915326\pi\) | |||||||
\(140\) | −3.72278 | + | 0.432624i | −0.314633 | + | 0.0365634i | ||||
\(141\) | −1.45513 | + | 2.17775i | −0.122544 | + | 0.183400i | ||||
\(142\) | 4.56227 | + | 6.82792i | 0.382857 | + | 0.572986i | ||||
\(143\) | −26.2333 | − | 5.21813i | −2.19374 | − | 0.436362i | ||||
\(144\) | 1.79060 | − | 0.741692i | 0.149217 | − | 0.0618076i | ||||
\(145\) | −7.26602 | − | 13.0391i | −0.603410 | − | 1.08284i | ||||
\(146\) | 4.55564 | − | 3.04398i | 0.377027 | − | 0.251922i | ||||
\(147\) | −3.59064 | + | 2.39919i | −0.296151 | + | 0.197882i | ||||
\(148\) | 1.60680 | − | 0.319613i | 0.132078 | − | 0.0262720i | ||||
\(149\) | −7.67572 | − | 7.67572i | −0.628820 | − | 0.628820i | 0.318951 | − | 0.947771i | \(-0.396669\pi\) |
−0.947771 | + | 0.318951i | \(0.896669\pi\) | |||||||
\(150\) | −2.13723 | − | 4.68817i | −0.174504 | − | 0.382787i | ||||
\(151\) | −3.20221 | + | 7.73081i | −0.260592 | + | 0.629124i | −0.998975 | − | 0.0452566i | \(-0.985589\pi\) |
0.738384 | + | 0.674381i | \(0.235589\pi\) | |||||||
\(152\) | 1.72361 | − | 1.72361i | 0.139803 | − | 0.139803i | ||||
\(153\) | 7.99062 | − | 0.0906377i | 0.646003 | − | 0.00732763i | ||||
\(154\) | − | 9.69459i | − | 0.781213i | ||||||
\(155\) | 10.0828 | + | 2.86672i | 0.809869 | + | 0.230260i | ||||
\(156\) | 4.67362 | − | 0.929642i | 0.374189 | − | 0.0744309i | ||||
\(157\) | − | 5.11593i | − | 0.408296i | −0.978940 | − | 0.204148i | \(-0.934558\pi\) | ||
0.978940 | − | 0.204148i | \(-0.0654423\pi\) | |||||||
\(158\) | −0.895917 | − | 4.50408i | −0.0712754 | − | 0.358325i | ||||
\(159\) | 0.925959 | − | 4.65511i | 0.0734333 | − | 0.369174i | ||||
\(160\) | 0.180163 | − | 2.22880i | 0.0142431 | − | 0.176202i | ||||
\(161\) | −2.14459 | − | 5.17749i | −0.169017 | − | 0.408044i | ||||
\(162\) | 0.527318 | + | 0.218422i | 0.0414300 | + | 0.0171609i | ||||
\(163\) | 1.95303 | − | 9.81857i | 0.152973 | − | 0.769050i | −0.825777 | − | 0.563996i | \(-0.809263\pi\) |
0.978751 | − | 0.205053i | \(-0.0657368\pi\) | |||||||
\(164\) | −11.0053 | − | 2.18910i | −0.859372 | − | 0.170940i | ||||
\(165\) | 12.6840 | − | 4.09160i | 0.987452 | − | 0.318531i | ||||
\(166\) | 4.33234 | − | 4.33234i | 0.336255 | − | 0.336255i | ||||
\(167\) | 7.04496 | − | 10.5435i | 0.545156 | − | 0.815883i | −0.451939 | − | 0.892049i | \(-0.649268\pi\) |
0.997095 | + | 0.0761654i | \(0.0242677\pi\) | |||||||
\(168\) | 0.660953 | + | 1.59568i | 0.0509936 | + | 0.123109i | ||||
\(169\) | −8.38405 | −0.644927 | ||||||||
\(170\) | 4.10964 | − | 8.25293i | 0.315195 | − | 0.632971i | ||||
\(171\) | 4.72429 | 0.361276 | ||||||||
\(172\) | 4.08928 | + | 9.87239i | 0.311805 | + | 0.752763i | ||||
\(173\) | −3.95559 | + | 5.91996i | −0.300738 | + | 0.450086i | −0.950805 | − | 0.309791i | \(-0.899741\pi\) |
0.650067 | + | 0.759877i | \(0.274741\pi\) | |||||||
\(174\) | −4.86415 | + | 4.86415i | −0.368750 | + | 0.368750i | ||||
\(175\) | −7.62542 | + | 3.47626i | −0.576428 | + | 0.262781i | ||||
\(176\) | 5.67293 | + | 1.12842i | 0.427613 | + | 0.0850576i | ||||
\(177\) | −2.10640 | + | 10.5896i | −0.158326 | + | 0.795960i | ||||
\(178\) | −13.3904 | − | 5.54647i | −1.00365 | − | 0.415725i | ||||
\(179\) | 3.11798 | + | 7.52747i | 0.233049 | + | 0.562629i | 0.996533 | − | 0.0831969i | \(-0.0265131\pi\) |
−0.763484 | + | 0.645826i | \(0.776513\pi\) | |||||||
\(180\) | 3.30140 | − | 2.80759i | 0.246072 | − | 0.209265i | ||||
\(181\) | 2.60085 | − | 13.0754i | 0.193320 | − | 0.971883i | −0.755279 | − | 0.655403i | \(-0.772499\pi\) |
0.948599 | − | 0.316480i | \(-0.102501\pi\) | |||||||
\(182\) | −1.51209 | − | 7.60177i | −0.112083 | − | 0.563481i | ||||
\(183\) | 4.54566i | 0.336025i | ||||||||
\(184\) | 3.27931 | − | 0.652295i | 0.241754 | − | 0.0480879i | ||||
\(185\) | 3.20001 | − | 1.78320i | 0.235269 | − | 0.131103i | ||||
\(186\) | − | 4.83071i | − | 0.354204i | ||||||
\(187\) | 19.9782 | + | 13.0237i | 1.46095 | + | 0.952385i | ||||
\(188\) | −1.79726 | + | 1.79726i | −0.131079 | + | 0.131079i | ||||
\(189\) | −3.26387 | + | 7.87968i | −0.237412 | + | 0.573163i | ||||
\(190\) | 2.48477 | − | 4.85120i | 0.180264 | − | 0.351943i | ||||
\(191\) | −12.4734 | − | 12.4734i | −0.902546 | − | 0.902546i | 0.0931101 | − | 0.995656i | \(-0.470319\pi\) |
−0.995656 | + | 0.0931101i | \(0.970319\pi\) | |||||||
\(192\) | −1.01067 | + | 0.201035i | −0.0729387 | + | 0.0145084i | ||||
\(193\) | −2.63170 | + | 1.75845i | −0.189434 | + | 0.126576i | −0.646671 | − | 0.762769i | \(-0.723839\pi\) |
0.457237 | + | 0.889345i | \(0.348839\pi\) | |||||||
\(194\) | 7.93943 | − | 5.30496i | 0.570018 | − | 0.380874i | ||||
\(195\) | 9.30770 | − | 5.18669i | 0.666538 | − | 0.371426i | ||||
\(196\) | −3.87174 | + | 1.60373i | −0.276553 | + | 0.114552i | ||||
\(197\) | −19.6912 | − | 3.91682i | −1.40294 | − | 0.279062i | −0.565120 | − | 0.825009i | \(-0.691170\pi\) |
−0.837820 | + | 0.545947i | \(0.816170\pi\) | |||||||
\(198\) | 6.22811 | + | 9.32103i | 0.442613 | + | 0.662417i | ||||
\(199\) | 3.18389 | − | 4.76502i | 0.225700 | − | 0.337783i | −0.701286 | − | 0.712880i | \(-0.747390\pi\) |
0.926986 | + | 0.375097i | \(0.122390\pi\) | |||||||
\(200\) | −1.14661 | − | 4.86675i | −0.0810778 | − | 0.344131i | ||||
\(201\) | 0.544157 | + | 2.73566i | 0.0383819 | + | 0.192959i | ||||
\(202\) | −8.08820 | + | 3.35024i | −0.569084 | + | 0.235722i | ||||
\(203\) | 7.91166 | + | 7.91166i | 0.555289 | + | 0.555289i | ||||
\(204\) | −4.17623 | − | 0.781569i | −0.292394 | − | 0.0547208i | ||||
\(205\) | −24.9231 | + | 2.89630i | −1.74070 | + | 0.202287i | ||||
\(206\) | −8.13931 | − | 3.37141i | −0.567093 | − | 0.234897i | ||||
\(207\) | 5.38814 | + | 3.60024i | 0.374501 | + | 0.250234i | ||||
\(208\) | 4.62429 | 0.320637 | ||||||||
\(209\) | 11.7229 | + | 7.83296i | 0.810887 | + | 0.541817i | ||||
\(210\) | 2.50196 | + | 2.94202i | 0.172652 | + | 0.203019i | ||||
\(211\) | 10.6946 | + | 16.0056i | 0.736246 | + | 1.10187i | 0.990869 | + | 0.134830i | \(0.0430488\pi\) |
−0.254622 | + | 0.967041i | \(0.581951\pi\) | |||||||
\(212\) | 1.76263 | − | 4.25536i | 0.121058 | − | 0.292259i | ||||
\(213\) | 3.23829 | − | 7.81793i | 0.221884 | − | 0.535676i | ||||
\(214\) | 7.25797 | + | 10.8623i | 0.496145 | + | 0.742533i | ||||
\(215\) | 15.4795 | + | 18.2021i | 1.05569 | + | 1.24137i | ||||
\(216\) | −4.23101 | − | 2.82707i | −0.287884 | − | 0.192358i | ||||
\(217\) | −7.85727 | −0.533386 | ||||||||
\(218\) | −7.92144 | − | 5.29294i | −0.536508 | − | 0.358483i | ||||
\(219\) | −5.21618 | − | 2.16061i | −0.352477 | − | 0.146001i | ||||
\(220\) | 12.8471 | − | 1.49296i | 0.866153 | − | 0.100655i | ||||
\(221\) | 17.6967 | + | 7.09614i | 1.19041 | + | 0.477338i | ||||
\(222\) | −1.19374 | − | 1.19374i | −0.0801184 | − | 0.0801184i | ||||
\(223\) | −3.98779 | + | 1.65180i | −0.267042 | + | 0.110612i | −0.512187 | − | 0.858874i | \(-0.671164\pi\) |
0.245145 | + | 0.969486i | \(0.421164\pi\) | |||||||
\(224\) | 0.326988 | + | 1.64388i | 0.0218478 | + | 0.109836i | ||||
\(225\) | 5.09833 | − | 8.24112i | 0.339889 | − | 0.549408i | ||||
\(226\) | 3.84589 | − | 5.75578i | 0.255825 | − | 0.382869i | ||||
\(227\) | −10.9287 | − | 16.3559i | −0.725362 | − | 1.08558i | −0.992538 | − | 0.121934i | \(-0.961091\pi\) |
0.267176 | − | 0.963648i | \(-0.413909\pi\) | |||||||
\(228\) | −2.46355 | − | 0.490031i | −0.163153 | − | 0.0324531i | ||||
\(229\) | −4.35060 | + | 1.80208i | −0.287496 | + | 0.119085i | −0.521771 | − | 0.853086i | \(-0.674728\pi\) |
0.234275 | + | 0.972170i | \(0.424728\pi\) | |||||||
\(230\) | 6.53087 | − | 3.63931i | 0.430633 | − | 0.239969i | ||||
\(231\) | −8.30636 | + | 5.55013i | −0.546518 | + | 0.365172i | ||||
\(232\) | −5.55051 | + | 3.70873i | −0.364409 | + | 0.243490i | ||||
\(233\) | −5.00530 | + | 0.995617i | −0.327908 | + | 0.0652250i | −0.356299 | − | 0.934372i | \(-0.615962\pi\) |
0.0283910 | + | 0.999597i | \(0.490962\pi\) | |||||||
\(234\) | 6.33744 | + | 6.33744i | 0.414291 | + | 0.414291i | ||||
\(235\) | −2.59095 | + | 5.05851i | −0.169015 | + | 0.329981i | ||||
\(236\) | −4.00967 | + | 9.68021i | −0.261007 | + | 0.630128i | ||||
\(237\) | −3.34620 | + | 3.34620i | −0.217359 | + | 0.217359i | ||||
\(238\) | −1.27124 | + | 6.79274i | −0.0824024 | + | 0.440308i | ||||
\(239\) | 2.61897i | 0.169407i | 0.996406 | + | 0.0847037i | \(0.0269944\pi\) | ||||
−0.996406 | + | 0.0847037i | \(0.973006\pi\) | |||||||
\(240\) | −2.01279 | + | 1.12162i | −0.129925 | + | 0.0724001i | ||||
\(241\) | 3.94028 | − | 0.783771i | 0.253816 | − | 0.0504871i | −0.0665423 | − | 0.997784i | \(-0.521197\pi\) |
0.320358 | + | 0.947296i | \(0.396197\pi\) | |||||||
\(242\) | 22.4555i | 1.44349i | ||||||||
\(243\) | −3.09295 | − | 15.5493i | −0.198413 | − | 0.997488i | ||||
\(244\) | −0.860592 | + | 4.32649i | −0.0550938 | + | 0.276975i | ||||
\(245\) | −7.13848 | + | 6.07073i | −0.456061 | + | 0.387844i | ||||
\(246\) | 4.42490 | + | 10.6827i | 0.282122 | + | 0.681102i | ||||
\(247\) | 10.4139 | + | 4.31358i | 0.662621 | + | 0.274466i | ||||
\(248\) | 0.914558 | − | 4.59779i | 0.0580745 | − | 0.291960i | ||||
\(249\) | −6.19222 | − | 1.23171i | −0.392416 | − | 0.0780564i | ||||
\(250\) | −5.78100 | − | 9.56975i | −0.365622 | − | 0.605244i | ||||
\(251\) | −7.61296 | + | 7.61296i | −0.480526 | + | 0.480526i | −0.905300 | − | 0.424774i | \(-0.860354\pi\) |
0.424774 | + | 0.905300i | \(0.360354\pi\) | |||||||
\(252\) | −1.80476 | + | 2.70101i | −0.113689 | + | 0.170148i | ||||
\(253\) | 7.40086 | + | 17.8672i | 0.465288 | + | 1.12330i | ||||
\(254\) | 13.8210 | 0.867208 | ||||||||
\(255\) | −9.42390 | + | 1.20363i | −0.590148 | + | 0.0753743i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 0.253308 | + | 0.611539i | 0.0158009 | + | 0.0381467i | 0.931583 | − | 0.363528i | \(-0.118428\pi\) |
−0.915782 | + | 0.401675i | \(0.868428\pi\) | |||||||
\(258\) | 6.11760 | − | 9.15563i | 0.380865 | − | 0.570005i | ||||
\(259\) | −1.94164 | + | 1.94164i | −0.120648 | + | 0.120648i | ||||
\(260\) | 9.84089 | − | 3.17446i | 0.610306 | − | 0.196872i | ||||
\(261\) | −12.6895 | − | 2.52410i | −0.785460 | − | 0.156238i | ||||
\(262\) | −0.0204011 | + | 0.102563i | −0.00126038 | + | 0.00633638i | ||||
\(263\) | −23.8217 | − | 9.86725i | −1.46891 | − | 0.608441i | −0.502297 | − | 0.864695i | \(-0.667511\pi\) |
−0.966609 | + | 0.256255i | \(0.917511\pi\) | |||||||
\(264\) | −2.28091 | − | 5.50661i | −0.140380 | − | 0.338908i | ||||
\(265\) | 0.829825 | − | 10.2658i | 0.0509757 | − | 0.630622i | ||||
\(266\) | −0.797048 | + | 4.00703i | −0.0488702 | + | 0.245687i | ||||
\(267\) | 2.91372 | + | 14.6482i | 0.178317 | + | 0.896458i | ||||
\(268\) | 2.70679i | 0.165343i | ||||||||
\(269\) | 27.1342 | − | 5.39732i | 1.65440 | − | 0.329081i | 0.722382 | − | 0.691494i | \(-0.243047\pi\) |
0.932017 | + | 0.362414i | \(0.118047\pi\) | |||||||
\(270\) | −10.9447 | − | 3.11177i | −0.666071 | − | 0.189376i | ||||
\(271\) | − | 1.15983i | − | 0.0704548i | −0.999379 | − | 0.0352274i | \(-0.988784\pi\) | ||
0.999379 | − | 0.0352274i | \(-0.0112155\pi\) | |||||||
\(272\) | −3.82690 | − | 1.53454i | −0.232040 | − | 0.0930450i | ||||
\(273\) | −5.64756 | + | 5.64756i | −0.341806 | + | 0.341806i | ||||
\(274\) | 2.21147 | − | 5.33895i | 0.133600 | − | 0.322538i | ||||
\(275\) | 26.3149 | − | 11.9964i | 1.58685 | − | 0.723409i | ||||
\(276\) | −2.43629 | − | 2.43629i | −0.146647 | − | 0.146647i | ||||
\(277\) | −21.5445 | + | 4.28548i | −1.29449 | + | 0.257489i | −0.793821 | − | 0.608152i | \(-0.791911\pi\) |
−0.500665 | + | 0.865641i | \(0.666911\pi\) | |||||||
\(278\) | 1.36464 | − | 0.911821i | 0.0818455 | − | 0.0546874i | ||||
\(279\) | 7.55450 | − | 5.04776i | 0.452276 | − | 0.302201i | ||||
\(280\) | 1.82434 | + | 3.27385i | 0.109025 | + | 0.195650i | ||||
\(281\) | 29.3623 | − | 12.1623i | 1.75161 | − | 0.725539i | 0.753963 | − | 0.656916i | \(-0.228140\pi\) |
0.997643 | − | 0.0686226i | \(-0.0218604\pi\) | |||||||
\(282\) | 2.56883 | + | 0.510972i | 0.152972 | + | 0.0304280i | ||||
\(283\) | 10.6808 | + | 15.9849i | 0.634907 | + | 0.950205i | 0.999816 | + | 0.0191622i | \(0.00609990\pi\) |
−0.364910 | + | 0.931043i | \(0.618900\pi\) | |||||||
\(284\) | 4.56227 | − | 6.82792i | 0.270721 | − | 0.405162i | ||||
\(285\) | −5.57905 | + | 0.648340i | −0.330474 | + | 0.0384043i | ||||
\(286\) | 5.21813 | + | 26.2333i | 0.308554 | + | 1.55121i | ||||
\(287\) | 17.3756 | − | 7.19722i | 1.02565 | − | 0.424838i | ||||
\(288\) | −1.37047 | − | 1.37047i | −0.0807556 | − | 0.0807556i | ||||
\(289\) | −12.2904 | − | 11.7451i | −0.722964 | − | 0.690885i | ||||
\(290\) | −9.26602 | + | 11.7028i | −0.544119 | + | 0.687212i | ||||
\(291\) | −9.09061 | − | 3.76546i | −0.532901 | − | 0.220735i | ||||
\(292\) | −4.55564 | − | 3.04398i | −0.266598 | − | 0.178135i | ||||
\(293\) | 0.480564 | 0.0280748 | 0.0140374 | − | 0.999901i | \(-0.495532\pi\) | ||||
0.0140374 | + | 0.999901i | \(0.495532\pi\) | |||||||
\(294\) | 3.59064 | + | 2.39919i | 0.209411 | + | 0.139924i | ||||
\(295\) | −1.88771 | + | 23.3529i | −0.109907 | + | 1.35966i | ||||
\(296\) | −0.910181 | − | 1.36218i | −0.0529032 | − | 0.0791753i | ||||
\(297\) | 11.2634 | − | 27.1924i | 0.653571 | − | 1.57786i | ||||
\(298\) | −4.15407 | + | 10.0288i | −0.240639 | + | 0.580954i | ||||
\(299\) | 8.58999 | + | 12.8558i | 0.496772 | + | 0.743472i | ||||
\(300\) | −3.51342 | + | 3.76863i | −0.202847 | + | 0.217582i | ||||
\(301\) | −14.8919 | − | 9.95043i | −0.858353 | − | 0.573533i | ||||
\(302\) | 8.36777 | 0.481511 | ||||||||
\(303\) | 7.50098 | + | 5.01199i | 0.430920 | + | 0.287932i | ||||
\(304\) | −2.25200 | − | 0.932809i | −0.129161 | − | 0.0535003i | ||||
\(305\) | 1.13861 | + | 9.79792i | 0.0651968 | + | 0.561027i | ||||
\(306\) | −3.14162 | − | 7.34768i | −0.179594 | − | 0.420039i | ||||
\(307\) | 10.5614 | + | 10.5614i | 0.602772 | + | 0.602772i | 0.941047 | − | 0.338275i | \(-0.109844\pi\) |
−0.338275 | + | 0.941047i | \(0.609844\pi\) | |||||||
\(308\) | −8.95664 | + | 3.70996i | −0.510352 | + | 0.211395i | ||||
\(309\) | 1.77110 | + | 8.90392i | 0.100754 | + | 0.506526i | ||||
\(310\) | −1.21001 | − | 10.4123i | −0.0687242 | − | 0.591380i | ||||
\(311\) | −8.98927 | + | 13.4534i | −0.509735 | + | 0.762872i | −0.993683 | − | 0.112225i | \(-0.964202\pi\) |
0.483948 | + | 0.875097i | \(0.339202\pi\) | |||||||
\(312\) | −2.64740 | − | 3.96211i | −0.149879 | − | 0.224310i | ||||
\(313\) | 4.31664 | + | 0.858633i | 0.243991 | + | 0.0485328i | 0.315571 | − | 0.948902i | \(-0.397804\pi\) |
−0.0715797 | + | 0.997435i | \(0.522804\pi\) | |||||||
\(314\) | −4.72650 | + | 1.95778i | −0.266732 | + | 0.110484i | ||||
\(315\) | −1.98650 | + | 6.98690i | −0.111927 | + | 0.393667i | ||||
\(316\) | −3.81838 | + | 2.55136i | −0.214800 | + | 0.143525i | ||||
\(317\) | 26.6975 | − | 17.8387i | 1.49948 | − | 1.00192i | 0.509539 | − | 0.860448i | \(-0.329816\pi\) |
0.989942 | − | 0.141473i | \(-0.0451839\pi\) | |||||||
\(318\) | −4.65511 | + | 0.925959i | −0.261046 | + | 0.0519252i | ||||
\(319\) | −27.3027 | − | 27.3027i | −1.52866 | − | 1.52866i | ||||
\(320\) | −2.12809 | + | 0.686475i | −0.118964 | + | 0.0383751i | ||||
\(321\) | 5.15170 | − | 12.4373i | 0.287540 | − | 0.694183i | ||||
\(322\) | −3.96268 | + | 3.96268i | −0.220832 | + | 0.220832i | ||||
\(323\) | −7.18676 | − | 7.02555i | −0.399882 | − | 0.390912i | ||||
\(324\) | − | 0.570765i | − | 0.0317092i | ||||||
\(325\) | 18.7631 | − | 13.5111i | 1.04079 | − | 0.749458i | ||||
\(326\) | −9.81857 | + | 1.95303i | −0.543800 | + | 0.108169i | ||||
\(327\) | 9.81732i | 0.542899i | ||||||||
\(328\) | 2.18910 | + | 11.0053i | 0.120873 | + | 0.607668i | ||||
\(329\) | 0.831109 | − | 4.17827i | 0.0458205 | − | 0.230355i | ||||
\(330\) | −8.63412 | − | 10.1527i | −0.475293 | − | 0.558890i | ||||
\(331\) | −0.705646 | − | 1.70358i | −0.0387858 | − | 0.0936372i | 0.903300 | − | 0.429010i | \(-0.141138\pi\) |
−0.942085 | + | 0.335373i | \(0.891138\pi\) | |||||||
\(332\) | −5.66048 | − | 2.34465i | −0.310659 | − | 0.128679i | ||||
\(333\) | 0.619453 | − | 3.11420i | 0.0339458 | − | 0.170657i | ||||
\(334\) | −12.4369 | − | 2.47386i | −0.680519 | − | 0.135364i | ||||
\(335\) | 1.85814 | + | 5.76027i | 0.101521 | + | 0.314717i | ||||
\(336\) | 1.22128 | − | 1.22128i | 0.0666263 | − | 0.0666263i | ||||
\(337\) | −6.96587 | + | 10.4252i | −0.379455 | + | 0.567895i | −0.971211 | − | 0.238223i | \(-0.923435\pi\) |
0.591755 | + | 0.806118i | \(0.298435\pi\) | |||||||
\(338\) | 3.20844 | + | 7.74585i | 0.174516 | + | 0.421319i | ||||
\(339\) | −7.13334 | −0.387430 | ||||||||
\(340\) | −9.19740 | − | 0.638552i | −0.498799 | − | 0.0346304i | ||||
\(341\) | 27.1150 | 1.46836 | ||||||||
\(342\) | −1.80791 | − | 4.36468i | −0.0977605 | − | 0.236015i | ||||
\(343\) | 10.4206 | − | 15.5956i | 0.562661 | − | 0.842081i | ||||
\(344\) | 7.55600 | − | 7.55600i | 0.407392 | − | 0.407392i | ||||
\(345\) | −6.85708 | − | 3.51218i | −0.369173 | − | 0.189089i | ||||
\(346\) | 6.98306 | + | 1.38902i | 0.375412 | + | 0.0746741i | ||||
\(347\) | 3.58728 | − | 18.0345i | 0.192575 | − | 0.968142i | −0.756716 | − | 0.653744i | \(-0.773197\pi\) |
0.949291 | − | 0.314398i | \(-0.101803\pi\) | |||||||
\(348\) | 6.35531 | + | 2.63246i | 0.340680 | + | 0.141114i | ||||
\(349\) | −0.302687 | − | 0.730751i | −0.0162025 | − | 0.0391162i | 0.915571 | − | 0.402156i | \(-0.131739\pi\) |
−0.931774 | + | 0.363040i | \(0.881739\pi\) | |||||||
\(350\) | 6.12977 | + | 5.71466i | 0.327650 | + | 0.305462i | ||||
\(351\) | 4.59070 | − | 23.0790i | 0.245033 | − | 1.23186i | ||||
\(352\) | −1.12842 | − | 5.67293i | −0.0601448 | − | 0.302368i | ||||
\(353\) | − | 22.0327i | − | 1.17268i | −0.810064 | − | 0.586341i | \(-0.800568\pi\) | ||
0.810064 | − | 0.586341i | \(-0.199432\pi\) | |||||||
\(354\) | 10.5896 | − | 2.10640i | 0.562829 | − | 0.111954i | ||||
\(355\) | 5.02170 | − | 17.6623i | 0.266524 | − | 0.937416i | ||||
\(356\) | 14.4936i | 0.768160i | ||||||||
\(357\) | 6.54783 | − | 2.79962i | 0.346548 | − | 0.148172i | ||||
\(358\) | 5.76127 | − | 5.76127i | 0.304493 | − | 0.304493i | ||||
\(359\) | −10.0104 | + | 24.1672i | −0.528328 | + | 1.27550i | 0.404289 | + | 0.914631i | \(0.367519\pi\) |
−0.932618 | + | 0.360866i | \(0.882481\pi\) | |||||||
\(360\) | −3.85727 | − | 1.97568i | −0.203296 | − | 0.104128i | ||||
\(361\) | 9.23366 | + | 9.23366i | 0.485982 | + | 0.485982i | ||||
\(362\) | −13.0754 | + | 2.60085i | −0.687225 | + | 0.136698i | ||||
\(363\) | 19.2400 | − | 12.8557i | 1.00984 | − | 0.674751i | ||||
\(364\) | −6.44447 | + | 4.30606i | −0.337782 | + | 0.225699i | ||||
\(365\) | −11.7844 | − | 3.35052i | −0.616824 | − | 0.175374i | ||||
\(366\) | 4.19964 | − | 1.73955i | 0.219519 | − | 0.0909276i | ||||
\(367\) | −16.0919 | − | 3.20087i | −0.839988 | − | 0.167084i | −0.243696 | − | 0.969852i | \(-0.578360\pi\) |
−0.596292 | + | 0.802768i | \(0.703360\pi\) | |||||||
\(368\) | −1.85758 | − | 2.78006i | −0.0968331 | − | 0.144921i | ||||
\(369\) | −12.0824 | + | 18.0825i | −0.628983 | + | 0.941339i | ||||
\(370\) | −2.87205 | − | 2.27403i | −0.149311 | − | 0.118221i | ||||
\(371\) | 1.50610 | + | 7.57165i | 0.0781926 | + | 0.393101i | ||||
\(372\) | −4.46299 | + | 1.84863i | −0.231395 | + | 0.0958470i | ||||
\(373\) | −0.608572 | − | 0.608572i | −0.0315107 | − | 0.0315107i | 0.691176 | − | 0.722687i | \(-0.257093\pi\) |
−0.722687 | + | 0.691176i | \(0.757093\pi\) | |||||||
\(374\) | 4.38698 | − | 23.4414i | 0.226846 | − | 1.21212i | ||||
\(375\) | −4.88979 | + | 10.4318i | −0.252507 | + | 0.538698i | ||||
\(376\) | 2.34824 | + | 0.972672i | 0.121101 | + | 0.0501617i | ||||
\(377\) | −25.6672 | − | 17.1503i | −1.32193 | − | 0.883283i | ||||
\(378\) | 8.52891 | 0.438680 | ||||||||
\(379\) | 18.3579 | + | 12.2664i | 0.942984 | + | 0.630082i | 0.929103 | − | 0.369822i | \(-0.120581\pi\) |
0.0138811 | + | 0.999904i | \(0.495581\pi\) | |||||||
\(380\) | −5.43280 | − | 0.439156i | −0.278697 | − | 0.0225282i | ||||
\(381\) | −7.91251 | − | 11.8419i | −0.405370 | − | 0.606679i | ||||
\(382\) | −6.75057 | + | 16.2973i | −0.345389 | + | 0.833844i | ||||
\(383\) | −11.5954 | + | 27.9938i | −0.592497 | + | 1.43041i | 0.288587 | + | 0.957454i | \(0.406815\pi\) |
−0.881084 | + | 0.472960i | \(0.843185\pi\) | |||||||
\(384\) | 0.572498 | + | 0.856804i | 0.0292152 | + | 0.0437236i | ||||
\(385\) | −16.5137 | + | 14.0436i | −0.841616 | + | 0.715729i | ||||
\(386\) | 2.63170 | + | 1.75845i | 0.133950 | + | 0.0895026i | ||||
\(387\) | 20.7105 | 1.05277 | ||||||||
\(388\) | −7.93943 | − | 5.30496i | −0.403064 | − | 0.269318i | ||||
\(389\) | −28.5851 | − | 11.8403i | −1.44932 | − | 0.600329i | −0.487285 | − | 0.873243i | \(-0.662013\pi\) |
−0.962039 | + | 0.272914i | \(0.912013\pi\) | |||||||
\(390\) | −8.35378 | − | 6.61434i | −0.423010 | − | 0.334930i | ||||
\(391\) | −2.84267 | − | 13.4896i | −0.143760 | − | 0.682197i | ||||
\(392\) | 2.96330 | + | 2.96330i | 0.149669 | + | 0.149669i | ||||
\(393\) | 0.0995562 | − | 0.0412375i | 0.00502195 | − | 0.00208016i | ||||
\(394\) | 3.91682 | + | 19.6912i | 0.197327 | + | 0.992028i | ||||
\(395\) | −6.37439 | + | 8.05073i | −0.320730 | + | 0.405076i | ||||
\(396\) | 6.22811 | − | 9.32103i | 0.312975 | − | 0.468399i | ||||
\(397\) | −6.08149 | − | 9.10159i | −0.305221 | − | 0.456796i | 0.646874 | − | 0.762597i | \(-0.276076\pi\) |
−0.952095 | + | 0.305801i | \(0.901076\pi\) | |||||||
\(398\) | −5.62073 | − | 1.11803i | −0.281742 | − | 0.0560419i | ||||
\(399\) | 3.88955 | − | 1.61110i | 0.194721 | − | 0.0806560i | ||||
\(400\) | −4.05750 | + | 2.92176i | −0.202875 | + | 0.146088i | ||||
\(401\) | −12.1334 | + | 8.10725i | −0.605911 | + | 0.404857i | −0.820335 | − | 0.571884i | \(-0.806213\pi\) |
0.214423 | + | 0.976741i | \(0.431213\pi\) | |||||||
\(402\) | 2.31918 | − | 1.54963i | 0.115670 | − | 0.0772884i | ||||
\(403\) | 21.2615 | − | 4.22918i | 1.05911 | − | 0.210671i | ||||
\(404\) | 6.19044 | + | 6.19044i | 0.307986 | + | 0.307986i | ||||
\(405\) | −0.391816 | − | 1.21464i | −0.0194695 | − | 0.0603558i | ||||
\(406\) | 4.28176 | − | 10.3371i | 0.212500 | − | 0.513021i | ||||
\(407\) | 6.70051 | − | 6.70051i | 0.332132 | − | 0.332132i | ||||
\(408\) | 0.876098 | + | 4.15742i | 0.0433733 | + | 0.205823i | ||||
\(409\) | 2.35457i | 0.116426i | 0.998304 | + | 0.0582130i | \(0.0185403\pi\) | ||||
−0.998304 | + | 0.0582130i | \(0.981460\pi\) | |||||||
\(410\) | 12.2135 | + | 21.9175i | 0.603181 | + | 1.08243i | ||||
\(411\) | −5.84049 | + | 1.16175i | −0.288090 | + | 0.0573047i | ||||
\(412\) | 8.80993i | 0.434034i | ||||||||
\(413\) | −3.42611 | − | 17.2242i | −0.168588 | − | 0.847547i | ||||
\(414\) | 1.26424 | − | 6.35574i | 0.0621338 | − | 0.312368i | ||||
\(415\) | −13.6555 | − | 1.10383i | −0.670323 | − | 0.0541850i | ||||
\(416\) | −1.76964 | − | 4.27229i | −0.0867637 | − | 0.209466i | ||||
\(417\) | −1.56250 | − | 0.647210i | −0.0765161 | − | 0.0316940i | ||||
\(418\) | 2.75057 | − | 13.8280i | 0.134535 | − | 0.676352i | ||||
\(419\) | −26.7980 | − | 5.33045i | −1.30917 | − | 0.260409i | −0.509301 | − | 0.860589i | \(-0.670096\pi\) |
−0.799866 | + | 0.600179i | \(0.795096\pi\) | |||||||
\(420\) | 1.76061 | − | 3.43737i | 0.0859091 | − | 0.167727i | ||||
\(421\) | 7.28333 | − | 7.28333i | 0.354968 | − | 0.354968i | −0.506986 | − | 0.861954i | \(-0.669241\pi\) |
0.861954 | + | 0.506986i | \(0.169241\pi\) | |||||||
\(422\) | 10.6946 | − | 16.0056i | 0.520605 | − | 0.779140i | ||||
\(423\) | 1.88517 | + | 4.55120i | 0.0916600 | + | 0.221287i | ||||
\(424\) | −4.60597 | −0.223686 | ||||||||
\(425\) | −20.0112 | + | 4.95490i | −0.970687 | + | 0.240348i | ||||
\(426\) | −8.46207 | −0.409989 | ||||||||
\(427\) | −2.82942 | − | 6.83082i | −0.136925 | − | 0.330567i | ||||
\(428\) | 7.25797 | − | 10.8623i | 0.350827 | − | 0.525050i | ||||
\(429\) | 19.4894 | − | 19.4894i | 0.940958 | − | 0.940958i | ||||
\(430\) | 10.8928 | − | 21.2668i | 0.525298 | − | 1.02558i | ||||
\(431\) | 16.9262 | + | 3.36683i | 0.815307 | + | 0.162175i | 0.585094 | − | 0.810966i | \(-0.301058\pi\) |
0.230213 | + | 0.973140i | \(0.426058\pi\) | |||||||
\(432\) | −0.992735 | + | 4.99082i | −0.0477630 | + | 0.240121i | ||||
\(433\) | 23.6929 | + | 9.81392i | 1.13861 | + | 0.471627i | 0.870699 | − | 0.491817i | \(-0.163667\pi\) |
0.267910 | + | 0.963444i | \(0.413667\pi\) | |||||||
\(434\) | 3.00685 | + | 7.25917i | 0.144333 | + | 0.348451i | ||||
\(435\) | 15.3318 | + | 1.23933i | 0.735102 | + | 0.0594213i | ||||
\(436\) | −1.85863 | + | 9.34398i | −0.0890124 | + | 0.447495i | ||||
\(437\) | −1.59000 | − | 7.99347i | −0.0760601 | − | 0.382380i | ||||
\(438\) | 5.64596i | 0.269774i | ||||||||
\(439\) | −34.5319 | + | 6.86883i | −1.64812 | + | 0.327831i | −0.929851 | − | 0.367936i | \(-0.880065\pi\) |
−0.718268 | + | 0.695767i | \(0.755065\pi\) | |||||||
\(440\) | −6.29570 | − | 11.2979i | −0.300136 | − | 0.538605i | ||||
\(441\) | 8.12222i | 0.386772i | ||||||||
\(442\) | −0.216257 | − | 19.0652i | −0.0102863 | − | 0.906839i | ||||
\(443\) | 8.29543 | − | 8.29543i | 0.394128 | − | 0.394128i | −0.482028 | − | 0.876156i | \(-0.660100\pi\) |
0.876156 | + | 0.482028i | \(0.160100\pi\) | |||||||
\(444\) | −0.646046 | + | 1.55969i | −0.0306600 | + | 0.0740198i | ||||
\(445\) | 9.94951 | + | 30.8437i | 0.471652 | + | 1.46213i | ||||
\(446\) | 3.05212 | + | 3.05212i | 0.144522 | + | 0.144522i | ||||
\(447\) | 10.9709 | − | 2.18225i | 0.518907 | − | 0.103217i | ||||
\(448\) | 1.39361 | − | 0.931182i | 0.0658420 | − | 0.0439942i | ||||
\(449\) | 2.92263 | − | 1.95284i | 0.137928 | − | 0.0921603i | −0.484692 | − | 0.874685i | \(-0.661068\pi\) |
0.622620 | + | 0.782525i | \(0.286068\pi\) | |||||||
\(450\) | −9.56485 | − | 1.55650i | −0.450891 | − | 0.0733743i | ||||
\(451\) | −59.9623 | + | 24.8372i | −2.82352 | + | 1.16954i | ||||
\(452\) | −6.78941 | − | 1.35050i | −0.319347 | − | 0.0635220i | ||||
\(453\) | −4.79053 | − | 7.16953i | −0.225079 | − | 0.336854i | ||||
\(454\) | −10.9287 | + | 16.3559i | −0.512909 | + | 0.767622i | ||||
\(455\) | −10.7584 | + | 13.5876i | −0.504361 | + | 0.636998i | ||||
\(456\) | 0.490031 | + | 2.46355i | 0.0229478 | + | 0.115366i | ||||
\(457\) | 31.9028 | − | 13.2146i | 1.49235 | − | 0.618152i | 0.520524 | − | 0.853847i | \(-0.325737\pi\) |
0.971827 | + | 0.235695i | \(0.0757365\pi\) | |||||||
\(458\) | 3.32980 | + | 3.32980i | 0.155591 | + | 0.155591i | ||||
\(459\) | −11.4577 | + | 17.5760i | −0.534800 | + | 0.820377i | ||||
\(460\) | −5.86154 | − | 4.64104i | −0.273296 | − | 0.216389i | ||||
\(461\) | −0.00945111 | − | 0.00391478i | −0.000440182 | − | 0.000182329i | 0.382463 | − | 0.923971i | \(-0.375076\pi\) |
−0.382904 | + | 0.923788i | \(0.625076\pi\) | |||||||
\(462\) | 8.30636 | + | 5.55013i | 0.386447 | + | 0.258216i | ||||
\(463\) | −14.9029 | −0.692597 | −0.346298 | − | 0.938124i | \(-0.612562\pi\) | ||||
−0.346298 | + | 0.938124i | \(0.612562\pi\) | |||||||
\(464\) | 5.55051 | + | 3.70873i | 0.257676 | + | 0.172174i | ||||
\(465\) | −8.22859 | + | 6.99778i | −0.381592 | + | 0.324514i | ||||
\(466\) | 2.83528 | + | 4.24329i | 0.131342 | + | 0.196567i | ||||
\(467\) | −3.11331 | + | 7.51619i | −0.144067 | + | 0.347808i | −0.979398 | − | 0.201939i | \(-0.935276\pi\) |
0.835331 | + | 0.549747i | \(0.185276\pi\) | |||||||
\(468\) | 3.42980 | − | 8.28026i | 0.158542 | − | 0.382755i | ||||
\(469\) | −2.52051 | − | 3.77221i | −0.116386 | − | 0.174184i | ||||
\(470\) | 5.66497 | + | 0.457923i | 0.261305 | + | 0.0211224i | ||||
\(471\) | 4.38335 | + | 2.92886i | 0.201974 | + | 0.134955i | ||||
\(472\) | 10.4778 | 0.482279 | ||||||||
\(473\) | 51.3910 | + | 34.3384i | 2.36296 | + | 1.57888i | ||||
\(474\) | 4.37202 | + | 1.81095i | 0.200814 | + | 0.0831797i | ||||
\(475\) | −11.8629 | + | 2.79492i | −0.544309 | + | 0.128240i | ||||
\(476\) | 6.76216 | − | 1.42500i | 0.309943 | − | 0.0653145i | ||||
\(477\) | −6.31233 | − | 6.31233i | −0.289022 | − | 0.289022i | ||||
\(478\) | 2.41962 | − | 1.00224i | 0.110671 | − | 0.0458413i | ||||
\(479\) | −6.31687 | − | 31.7570i | −0.288625 | − | 1.45102i | −0.804296 | − | 0.594229i | \(-0.797457\pi\) |
0.515671 | − | 0.856787i | \(-0.327543\pi\) | |||||||
\(480\) | 1.80650 | + | 1.43035i | 0.0824550 | + | 0.0652861i | ||||
\(481\) | 4.20894 | − | 6.29913i | 0.191911 | − | 0.287215i | ||||
\(482\) | −2.23199 | − | 3.34041i | −0.101664 | − | 0.152151i | ||||
\(483\) | 5.66387 | + | 1.12661i | 0.257715 | + | 0.0512627i | ||||
\(484\) | 20.7462 | − | 8.59335i | 0.943008 | − | 0.390607i | ||||
\(485\) | −20.5375 | − | 5.83919i | −0.932561 | − | 0.265144i | ||||
\(486\) | −13.1821 | + | 8.80797i | −0.597951 | + | 0.399538i | ||||
\(487\) | 20.1855 | − | 13.4875i | 0.914691 | − | 0.611177i | −0.00663048 | − | 0.999978i | \(-0.502111\pi\) |
0.921322 | + | 0.388801i | \(0.127111\pi\) | |||||||
\(488\) | 4.32649 | − | 0.860592i | 0.195851 | − | 0.0389572i | ||||
\(489\) | 7.29448 | + | 7.29448i | 0.329868 | + | 0.329868i | ||||
\(490\) | 8.34040 | + | 4.27193i | 0.376781 | + | 0.192986i | ||||
\(491\) | −8.98813 | + | 21.6993i | −0.405629 | + | 0.979274i | 0.580645 | + | 0.814157i | \(0.302800\pi\) |
−0.986274 | + | 0.165118i | \(0.947200\pi\) | |||||||
\(492\) | 8.17616 | − | 8.17616i | 0.368610 | − | 0.368610i | ||||
\(493\) | 15.5501 | + | 22.7104i | 0.700341 | + | 1.02283i | ||||
\(494\) | − | 11.2719i | − | 0.507148i | ||||||
\(495\) | 6.85531 | − | 24.1114i | 0.308123 | − | 1.08373i | ||||
\(496\) | −4.59779 | + | 0.914558i | −0.206447 | + | 0.0410649i | ||||
\(497\) | 13.7638i | 0.617390i | ||||||||
\(498\) | 1.23171 | + | 6.19222i | 0.0551942 | + | 0.277480i | ||||
\(499\) | −2.34595 | + | 11.7939i | −0.105019 | + | 0.527967i | 0.892081 | + | 0.451875i | \(0.149245\pi\) |
−0.997101 | + | 0.0760929i | \(0.975755\pi\) | |||||||
\(500\) | −6.62900 | + | 9.00313i | −0.296458 | + | 0.402632i | ||||
\(501\) | 5.00051 | + | 12.0723i | 0.223406 | + | 0.539351i | ||||
\(502\) | 9.94682 | + | 4.12011i | 0.443948 | + | 0.183889i | ||||
\(503\) | −4.56923 | + | 22.9711i | −0.203732 | + | 1.02423i | 0.734601 | + | 0.678499i | \(0.237369\pi\) |
−0.938334 | + | 0.345731i | \(0.887631\pi\) | |||||||
\(504\) | 3.18606 | + | 0.633746i | 0.141918 | + | 0.0282293i | ||||
\(505\) | 17.4234 | + | 8.92421i | 0.775331 | + | 0.397122i | ||||
\(506\) | 13.6750 | − | 13.6750i | 0.607928 | − | 0.607928i | ||||
\(507\) | 4.79985 | − | 7.18349i | 0.213169 | − | 0.319030i | ||||
\(508\) | −5.28908 | − | 12.7690i | −0.234665 | − | 0.566531i | ||||
\(509\) | 34.4909 | 1.52878 | 0.764392 | − | 0.644752i | \(-0.223039\pi\) | ||||
0.764392 | + | 0.644752i | \(0.223039\pi\) | |||||||
\(510\) | 4.71838 | + | 8.24594i | 0.208933 | + | 0.365136i | ||||
\(511\) | 9.18329 | 0.406245 | ||||||||
\(512\) | 0.382683 | + | 0.923880i | 0.0169124 | + | 0.0408301i | ||||
\(513\) | −6.89112 | + | 10.3133i | −0.304250 | + | 0.455343i | ||||
\(514\) | 0.468052 | − | 0.468052i | 0.0206449 | − | 0.0206449i | ||||
\(515\) | 6.04780 | + | 18.7483i | 0.266498 | + | 0.826148i | ||||
\(516\) | −10.7998 | − | 2.14821i | −0.475435 | − | 0.0945699i | ||||
\(517\) | −2.86811 | + | 14.4190i | −0.126139 | + | 0.634146i | ||||
\(518\) | 2.53688 | + | 1.05081i | 0.111464 | + | 0.0461700i | ||||
\(519\) | −2.80767 | − | 6.77832i | −0.123243 | − | 0.297535i | ||||
\(520\) | −6.69876 | − | 7.87698i | −0.293760 | − | 0.345428i | ||||
\(521\) | 6.54790 | − | 32.9185i | 0.286869 | − | 1.44219i | −0.521369 | − | 0.853331i | \(-0.674578\pi\) |
0.808238 | − | 0.588856i | \(-0.200422\pi\) | |||||||
\(522\) | 2.52410 | + | 12.6895i | 0.110477 | + | 0.555404i | ||||
\(523\) | 18.1579i | 0.793991i | 0.917820 | + | 0.396996i | \(0.129947\pi\) | ||||
−0.917820 | + | 0.396996i | \(0.870053\pi\) | |||||||
\(524\) | 0.102563 | − | 0.0204011i | 0.00448050 | − | 0.000891227i | ||||
\(525\) | 1.38706 | − | 8.52364i | 0.0605365 | − | 0.372002i | ||||
\(526\) | 25.7844i | 1.12425i | ||||||||
\(527\) | −18.9987 | − | 3.55556i | −0.827598 | − | 0.154883i | ||||
\(528\) | −4.21457 | + | 4.21457i | −0.183416 | + | 0.183416i | ||||
\(529\) | −4.52356 | + | 10.9208i | −0.196677 | + | 0.474819i | ||||
\(530\) | −9.80190 | + | 3.16188i | −0.425767 | + | 0.137343i | ||||
\(531\) | 14.3595 | + | 14.3595i | 0.623147 | + | 0.623147i | ||||
\(532\) | 4.00703 | − | 0.797048i | 0.173727 | − | 0.0345564i | ||||
\(533\) | −43.1440 | + | 28.8279i | −1.86878 | + | 1.24868i | ||||
\(534\) | 12.4182 | − | 8.29757i | 0.537387 | − | 0.359071i | ||||
\(535\) | 7.98887 | − | 28.0984i | 0.345389 | − | 1.21480i | ||||
\(536\) | 2.50074 | − | 1.03584i | 0.108016 | − | 0.0447416i | ||||
\(537\) | −8.23460 | − | 1.63796i | −0.355349 | − | 0.0706833i | ||||
\(538\) | −15.3703 | − | 23.0032i | −0.662659 | − | 0.991740i | ||||
\(539\) | −13.4668 | + | 20.1545i | −0.580055 | + | 0.868114i | ||||
\(540\) | 1.31345 | + | 11.3024i | 0.0565217 | + | 0.486377i | ||||
\(541\) | 1.43320 | + | 7.20520i | 0.0616182 | + | 0.309776i | 0.999287 | − | 0.0377544i | \(-0.0120205\pi\) |
−0.937669 | + | 0.347530i | \(0.887020\pi\) | |||||||
\(542\) | −1.07154 | + | 0.443848i | −0.0460268 | + | 0.0190649i | ||||
\(543\) | 9.71403 | + | 9.71403i | 0.416869 | + | 0.416869i | ||||
\(544\) | 0.0467655 | + | 4.12284i | 0.00200505 | + | 0.176765i | ||||
\(545\) | 2.45908 | + | 21.1607i | 0.105335 | + | 0.906425i | ||||
\(546\) | 7.37889 | + | 3.05644i | 0.315787 | + | 0.130803i | ||||
\(547\) | −24.2504 | − | 16.2036i | −1.03687 | − | 0.692815i | −0.0840855 | − | 0.996459i | \(-0.526797\pi\) |
−0.952786 | + | 0.303643i | \(0.901797\pi\) | |||||||
\(548\) | −5.77884 | −0.246860 | ||||||||
\(549\) | 7.10873 | + | 4.74990i | 0.303393 | + | 0.202721i | ||||
\(550\) | −21.1535 | − | 19.7210i | −0.901988 | − | 0.840906i | ||||
\(551\) | 9.04021 | + | 13.5296i | 0.385126 | + | 0.576382i | ||||
\(552\) | −1.31851 | + | 3.18316i | −0.0561195 | + | 0.135484i | ||||
\(553\) | 2.94556 | − | 7.11121i | 0.125258 | − | 0.302399i | ||||
\(554\) | 12.2040 | + | 18.2646i | 0.518498 | + | 0.775988i | ||||
\(555\) | −0.304151 | + | 3.76266i | −0.0129105 | + | 0.159716i | ||||
\(556\) | −1.36464 | − | 0.911821i | −0.0578735 | − | 0.0386698i | ||||
\(557\) | 7.32927 | 0.310551 | 0.155275 | − | 0.987871i | \(-0.450373\pi\) | ||||
0.155275 | + | 0.987871i | \(0.450373\pi\) | |||||||
\(558\) | −7.55450 | − | 5.04776i | −0.319808 | − | 0.213689i | ||||
\(559\) | 45.6528 | + | 18.9100i | 1.93091 | + | 0.799808i | ||||
\(560\) | 2.32649 | − | 2.93832i | 0.0983124 | − | 0.124167i | ||||
\(561\) | −22.5962 | + | 9.66135i | −0.954012 | + | 0.407903i | ||||
\(562\) | −22.4729 | − | 22.4729i | −0.947962 | − | 0.947962i | ||||
\(563\) | 28.6219 | − | 11.8556i | 1.20627 | − | 0.499653i | 0.313249 | − | 0.949671i | \(-0.398583\pi\) |
0.893019 | + | 0.450018i | \(0.148583\pi\) | |||||||
\(564\) | −0.510972 | − | 2.56883i | −0.0215158 | − | 0.108167i | ||||
\(565\) | −15.3755 | + | 1.78679i | −0.646853 | + | 0.0751706i | ||||
\(566\) | 10.6808 | − | 15.9849i | 0.448947 | − | 0.671897i | ||||
\(567\) | 0.531486 | + | 0.795425i | 0.0223203 | + | 0.0334047i | ||||
\(568\) | −8.05408 | − | 1.60206i | −0.337942 | − | 0.0672208i | ||||
\(569\) | −25.5509 | + | 10.5835i | −1.07115 | + | 0.443684i | −0.847396 | − | 0.530962i | \(-0.821831\pi\) |
−0.223752 | + | 0.974646i | \(0.571831\pi\) | |||||||
\(570\) | 2.73400 | + | 4.90626i | 0.114515 | + | 0.205501i | ||||
\(571\) | 19.2218 | − | 12.8436i | 0.804406 | − | 0.537487i | −0.0840429 | − | 0.996462i | \(-0.526783\pi\) |
0.888449 | + | 0.458975i | \(0.151783\pi\) | |||||||
\(572\) | 22.2395 | − | 14.8600i | 0.929881 | − | 0.621326i | ||||
\(573\) | 17.8283 | − | 3.54627i | 0.744788 | − | 0.148147i | ||||
\(574\) | −13.2987 | − | 13.2987i | −0.555078 | − | 0.555078i | ||||
\(575\) | −15.6598 | − | 5.85272i | −0.653059 | − | 0.244075i | ||||
\(576\) | −0.741692 | + | 1.79060i | −0.0309038 | + | 0.0746084i | ||||
\(577\) | −24.6305 | + | 24.6305i | −1.02538 | + | 1.02538i | −0.0257102 | + | 0.999669i | \(0.508185\pi\) |
−0.999669 | + | 0.0257102i | \(0.991815\pi\) | |||||||
\(578\) | −6.14768 | + | 15.8495i | −0.255710 | + | 0.659251i | ||||
\(579\) | − | 3.26156i | − | 0.135546i | ||||||
\(580\) | 14.3579 | + | 4.08222i | 0.596180 | + | 0.169505i | ||||
\(581\) | 10.0718 | − | 2.00341i | 0.417849 | − | 0.0831153i | ||||
\(582\) | 9.83961i | 0.407865i | ||||||||
\(583\) | −5.19745 | − | 26.1294i | −0.215256 | − | 1.08217i | ||||
\(584\) | −1.06890 | + | 5.37374i | −0.0442315 | + | 0.222367i | ||||
\(585\) | 1.61471 | − | 19.9756i | 0.0667600 | − | 0.825889i | ||||
\(586\) | −0.183904 | − | 0.443983i | −0.00759700 | − | 0.0183408i | ||||
\(587\) | −10.2452 | − | 4.24371i | −0.422866 | − | 0.175157i | 0.161095 | − | 0.986939i | \(-0.448498\pi\) |
−0.583960 | + | 0.811782i | \(0.698498\pi\) | |||||||
\(588\) | 0.842484 | − | 4.23545i | 0.0347434 | − | 0.174667i | ||||
\(589\) | −11.2073 | − | 2.22928i | −0.461791 | − | 0.0918558i | ||||
\(590\) | 22.2976 | − | 7.19274i | 0.917979 | − | 0.296120i | ||||
\(591\) | 14.6291 | − | 14.6291i | 0.601761 | − | 0.601761i | ||||
\(592\) | −0.910181 | + | 1.36218i | −0.0374082 | + | 0.0559854i | ||||
\(593\) | −17.6804 | − | 42.6843i | −0.726048 | − | 1.75283i | −0.655336 | − | 0.755338i | \(-0.727473\pi\) |
−0.0707122 | − | 0.997497i | \(-0.522527\pi\) | |||||||
\(594\) | −29.4328 | −1.20764 | ||||||||
\(595\) | 13.4122 | − | 7.67457i | 0.549848 | − | 0.314627i | ||||
\(596\) | 10.8551 | 0.444643 | ||||||||
\(597\) | 2.25992 | + | 5.45593i | 0.0924923 | + | 0.223296i | ||||
\(598\) | 8.58999 | − | 12.8558i | 0.351271 | − | 0.525714i | ||||
\(599\) | 29.0498 | − | 29.0498i | 1.18694 | − | 1.18694i | 0.209035 | − | 0.977908i | \(-0.432968\pi\) |
0.977908 | − | 0.209035i | \(-0.0670324\pi\) | |||||||
\(600\) | 4.82628 | + | 1.80378i | 0.197032 | + | 0.0736391i | ||||
\(601\) | −13.6083 | − | 2.70685i | −0.555093 | − | 0.110415i | −0.0904304 | − | 0.995903i | \(-0.528824\pi\) |
−0.464662 | + | 0.885488i | \(0.653824\pi\) | |||||||
\(602\) | −3.49413 | + | 17.5662i | −0.142410 | + | 0.715943i | ||||
\(603\) | 4.84678 | + | 2.00760i | 0.197376 | + | 0.0817558i | ||||
\(604\) | −3.20221 | − | 7.73081i | −0.130296 | − | 0.314562i | ||||
\(605\) | 38.2505 | − | 32.5291i | 1.55511 | − | 1.32250i | ||||
\(606\) | 1.75998 | − | 8.84801i | 0.0714942 | − | 0.359426i | ||||
\(607\) | −5.01159 | − | 25.1950i | −0.203414 | − | 1.02263i | −0.938663 | − | 0.344835i | \(-0.887935\pi\) |
0.735249 | − | 0.677797i | \(-0.237065\pi\) | |||||||
\(608\) | 2.43755i | 0.0988556i | ||||||||
\(609\) | −11.3081 | + | 2.24933i | −0.458229 | + | 0.0911474i | ||||
\(610\) | 8.61637 | − | 4.80144i | 0.348867 | − | 0.194405i | ||||
\(611\) | 11.7536i | 0.475501i | ||||||||
\(612\) | −5.58613 | + | 5.71431i | −0.225806 | + | 0.230987i | ||||
\(613\) | −14.4308 | + | 14.4308i | −0.582856 | + | 0.582856i | −0.935687 | − | 0.352831i | \(-0.885219\pi\) |
0.352831 | + | 0.935687i | \(0.385219\pi\) | |||||||
\(614\) | 5.71580 | − | 13.7992i | 0.230671 | − | 0.556889i | ||||
\(615\) | 11.7868 | − | 23.0123i | 0.475291 | − | 0.927945i | ||||
\(616\) | 6.85511 | + | 6.85511i | 0.276200 | + | 0.276200i | ||||
\(617\) | 15.2937 | − | 3.04210i | 0.615699 | − | 0.122470i | 0.122619 | − | 0.992454i | \(-0.460871\pi\) |
0.493081 | + | 0.869984i | \(0.335871\pi\) | |||||||
\(618\) | 7.54838 | − | 5.04366i | 0.303640 | − | 0.202886i | ||||
\(619\) | 10.5371 | − | 7.04064i | 0.423520 | − | 0.282987i | −0.325490 | − | 0.945545i | \(-0.605529\pi\) |
0.749010 | + | 0.662558i | \(0.230529\pi\) | |||||||
\(620\) | −9.15668 | + | 5.10253i | −0.367741 | + | 0.204923i | ||||
\(621\) | −15.7189 | + | 6.51097i | −0.630777 | + | 0.261276i | ||||
\(622\) | 15.8694 | + | 3.15661i | 0.636303 | + | 0.126569i | ||||
\(623\) | −13.4962 | − | 20.1985i | −0.540714 | − | 0.809236i | ||||
\(624\) | −2.64740 | + | 3.96211i | −0.105981 | + | 0.158611i | ||||
\(625\) | −7.92667 | + | 23.7101i | −0.317067 | + | 0.948403i | ||||
\(626\) | −0.858633 | − | 4.31664i | −0.0343179 | − | 0.172528i | ||||
\(627\) | −13.4226 | + | 5.55983i | −0.536048 | + | 0.222038i | ||||
\(628\) | 3.61751 | + | 3.61751i | 0.144354 | + | 0.144354i | ||||
\(629\) | −5.57350 | + | 3.81624i | −0.222230 | + | 0.152163i | ||||
\(630\) | 7.21525 | − | 0.838483i | 0.287463 | − | 0.0334060i | ||||
\(631\) | 14.5366 | + | 6.02127i | 0.578694 | + | 0.239703i | 0.652778 | − | 0.757549i | \(-0.273603\pi\) |
−0.0740843 | + | 0.997252i | \(0.523603\pi\) | |||||||
\(632\) | 3.81838 | + | 2.55136i | 0.151887 | + | 0.101488i | ||||
\(633\) | −19.8363 | −0.788422 | ||||||||
\(634\) | −26.6975 | − | 17.8387i | −1.06029 | − | 0.708465i | ||||
\(635\) | −20.0212 | − | 23.5426i | −0.794517 | − | 0.934261i | ||||
\(636\) | 2.63691 | + | 3.94641i | 0.104560 | + | 0.156485i | ||||
\(637\) | −7.41610 | + | 17.9041i | −0.293837 | + | 0.709384i | ||||
\(638\) | −14.7761 | + | 35.6727i | −0.584992 | + | 1.41230i | ||||
\(639\) | −8.84229 | − | 13.2334i | −0.349795 | − | 0.523506i | ||||
\(640\) | 1.44860 | + | 1.70339i | 0.0572611 | + | 0.0673325i | ||||
\(641\) | −16.6671 | − | 11.1366i | −0.658310 | − | 0.439869i | 0.181029 | − | 0.983478i | \(-0.442057\pi\) |
−0.839338 | + | 0.543609i | \(0.817057\pi\) | |||||||
\(642\) | −13.4620 | −0.531305 | ||||||||
\(643\) | −24.1017 | − | 16.1042i | −0.950477 | − | 0.635089i | −0.0193615 | − | 0.999813i | \(-0.506163\pi\) |
−0.931116 | + | 0.364724i | \(0.881163\pi\) | |||||||
\(644\) | 5.17749 | + | 2.14459i | 0.204022 | + | 0.0845086i | ||||
\(645\) | −24.4576 | + | 2.84221i | −0.963018 | + | 0.111912i | ||||
\(646\) | −3.74051 | + | 9.32826i | −0.147168 | + | 0.367015i | ||||
\(647\) | 0.105698 | + | 0.105698i | 0.00415541 | + | 0.00415541i | 0.709181 | − | 0.705026i | \(-0.249065\pi\) |
−0.705026 | + | 0.709181i | \(0.749065\pi\) | |||||||
\(648\) | −0.527318 | + | 0.218422i | −0.0207150 | + | 0.00858044i | ||||
\(649\) | 11.8233 | + | 59.4398i | 0.464105 | + | 2.33321i | ||||
\(650\) | −19.6629 | − | 12.1644i | −0.771242 | − | 0.477125i | ||||
\(651\) | 4.49827 | − | 6.73213i | 0.176301 | − | 0.263853i | ||||
\(652\) | 5.56177 | + | 8.32378i | 0.217816 | + | 0.325984i | ||||
\(653\) | −33.1552 | − | 6.59498i | −1.29746 | − | 0.258082i | −0.502415 | − | 0.864627i | \(-0.667555\pi\) |
−0.795049 | + | 0.606545i | \(0.792555\pi\) | |||||||
\(654\) | 9.07002 | − | 3.75692i | 0.354666 | − | 0.146907i | ||||
\(655\) | 0.204259 | − | 0.113823i | 0.00798105 | − | 0.00444741i | ||||
\(656\) | 9.32987 | − | 6.23402i | 0.364270 | − | 0.243398i | ||||
\(657\) | −8.82943 | + | 5.89964i | −0.344469 | + | 0.230167i | ||||
\(658\) | −4.17827 | + | 0.831109i | −0.162886 | + | 0.0324000i | ||||
\(659\) | −33.1839 | − | 33.1839i | −1.29266 | − | 1.29266i | −0.933134 | − | 0.359529i | \(-0.882937\pi\) |
−0.359529 | − | 0.933134i | \(-0.617063\pi\) | |||||||
\(660\) | −6.07578 | + | 11.8622i | −0.236499 | + | 0.461735i | ||||
\(661\) | 5.69800 | − | 13.7562i | 0.221626 | − | 0.535054i | −0.773485 | − | 0.633815i | \(-0.781488\pi\) |
0.995111 | + | 0.0987614i | \(0.0314881\pi\) | |||||||
\(662\) | −1.30386 | + | 1.30386i | −0.0506761 | + | 0.0506761i | ||||
\(663\) | −16.2113 | + | 11.1001i | −0.629596 | + | 0.431091i | ||||
\(664\) | 6.12686i | 0.237768i | ||||||||
\(665\) | 7.98016 | − | 4.44692i | 0.309457 | − | 0.172444i | ||||
\(666\) | −3.11420 | + | 0.619453i | −0.120673 | + | 0.0240033i | ||||
\(667\) | 22.3201i | 0.864236i | ||||||||
\(668\) | 2.47386 | + | 12.4369i | 0.0957166 | + | 0.481200i | ||||
\(669\) | 0.867735 | − | 4.36240i | 0.0335486 | − | 0.168660i | ||||
\(670\) | 4.61072 | − | 3.92106i | 0.178128 | − | 0.151484i | ||||
\(671\) | 9.76417 | + | 23.5728i | 0.376941 | + | 0.910017i | ||||
\(672\) | −1.59568 | − | 0.660953i | −0.0615547 | − | 0.0254968i | ||||
\(673\) | 4.22906 | − | 21.2609i | 0.163018 | − | 0.819547i | −0.809572 | − | 0.587021i | \(-0.800301\pi\) |
0.972590 | − | 0.232527i | \(-0.0746993\pi\) | |||||||
\(674\) | 12.2973 | + | 2.44609i | 0.473675 | + | 0.0942198i | ||||
\(675\) | 10.5539 | + | 23.1508i | 0.406221 | + | 0.891074i | ||||
\(676\) | 5.92842 | − | 5.92842i | 0.228016 | − | 0.228016i | ||||
\(677\) | −9.70254 | + | 14.5209i | −0.372899 | + | 0.558083i | −0.969698 | − | 0.244308i | \(-0.921439\pi\) |
0.596799 | + | 0.802391i | \(0.296439\pi\) | |||||||
\(678\) | 2.72981 | + | 6.59034i | 0.104838 | + | 0.253101i | ||||
\(679\) | 16.0044 | 0.614192 | ||||||||
\(680\) | 2.92975 | + | 8.74166i | 0.112351 | + | 0.335227i | ||||
\(681\) | 20.2705 | 0.776766 | ||||||||
\(682\) | −10.3765 | − | 25.0510i | −0.397335 | − | 0.959252i | ||||
\(683\) | 2.62322 | − | 3.92593i | 0.100375 | − | 0.150222i | −0.777883 | − | 0.628410i | \(-0.783706\pi\) |
0.878258 | + | 0.478188i | \(0.158706\pi\) | |||||||
\(684\) | −3.34058 | + | 3.34058i | −0.127730 | + | 0.127730i | ||||
\(685\) | −12.2979 | + | 3.96703i | −0.469877 | + | 0.151572i | ||||
\(686\) | −18.3962 | − | 3.65924i | −0.702371 | − | 0.139710i | ||||
\(687\) | 0.946682 | − | 4.75929i | 0.0361182 | − | 0.181578i | ||||
\(688\) | −9.87239 | − | 4.08928i | −0.376381 | − | 0.155902i | ||||
\(689\) | −8.15090 | − | 19.6780i | −0.310525 | − | 0.749673i | ||||
\(690\) | −0.620739 | + | 7.67917i | −0.0236311 | + | 0.292341i | ||||
\(691\) | 4.41342 | − | 22.1878i | 0.167894 | − | 0.844062i | −0.801394 | − | 0.598136i | \(-0.795908\pi\) |
0.969289 | − | 0.245926i | \(-0.0790919\pi\) | |||||||
\(692\) | −1.38902 | − | 6.98306i | −0.0528025 | − | 0.265456i | ||||
\(693\) | 18.7894i | 0.713751i | ||||||||
\(694\) | −18.0345 | + | 3.58728i | −0.684580 | + | 0.136171i | ||||
\(695\) | −3.53001 | − | 1.00364i | −0.133901 | − | 0.0380704i | ||||
\(696\) | − | 6.87894i | − | 0.260746i | ||||||
\(697\) | 45.2709 | − | 9.53997i | 1.71476 | − | 0.361352i | ||||
\(698\) | −0.559293 | + | 0.559293i | −0.0211695 | + | 0.0211695i | ||||
\(699\) | 2.01248 | − | 4.85855i | 0.0761189 | − | 0.183767i | ||||
\(700\) | 2.93390 | − | 7.85007i | 0.110891 | − | 0.296705i | ||||
\(701\) | 34.8429 | + | 34.8429i | 1.31600 | + | 1.31600i | 0.916916 | + | 0.399081i | \(0.130671\pi\) |
0.399081 | + | 0.916916i | \(0.369329\pi\) | |||||||
\(702\) | −23.0790 | + | 4.59070i | −0.871060 | + | 0.173265i | ||||
\(703\) | −3.32038 | + | 2.21861i | −0.125231 | + | 0.0836765i | ||||
\(704\) | −4.80928 | + | 3.21346i | −0.181257 | + | 0.121112i | ||||
\(705\) | −2.85083 | − | 5.11592i | −0.107369 | − | 0.192677i | ||||
\(706\) | −20.3556 | + | 8.43155i | −0.766092 | + | 0.317326i | ||||
\(707\) | −14.3915 | − | 2.86265i | −0.541249 | − | 0.107661i | ||||
\(708\) | −5.99851 | − | 8.97740i | −0.225438 | − | 0.337391i | ||||
\(709\) | 2.53326 | − | 3.79130i | 0.0951387 | − | 0.142385i | −0.780847 | − | 0.624723i | \(-0.785212\pi\) |
0.875986 | + | 0.482337i | \(0.160212\pi\) | |||||||
\(710\) | −18.2395 | + | 2.11961i | −0.684518 | + | 0.0795476i | ||||
\(711\) | 1.73641 | + | 8.72951i | 0.0651204 | + | 0.327382i | ||||
\(712\) | 13.3904 | − | 5.54647i | 0.501825 | − | 0.207863i | ||||
\(713\) | −11.0833 | − | 11.0833i | −0.415073 | − | 0.415073i | ||||
\(714\) | −5.09226 | − | 4.97803i | −0.190573 | − | 0.186298i | ||||
\(715\) | 37.1266 | − | 46.8902i | 1.38846 | − | 1.75359i | ||||
\(716\) | −7.52747 | − | 3.11798i | −0.281315 | − | 0.116524i | ||||
\(717\) | −2.24395 | − | 1.49936i | −0.0838017 | − | 0.0559945i | ||||
\(718\) | 26.1584 | 0.976223 | ||||||||
\(719\) | −22.7552 | − | 15.2046i | −0.848627 | − | 0.567034i | 0.0534694 | − | 0.998569i | \(-0.482972\pi\) |
−0.902096 | + | 0.431535i | \(0.857972\pi\) | |||||||
\(720\) | −0.349180 | + | 4.31971i | −0.0130132 | + | 0.160986i | ||||
\(721\) | −8.20365 | − | 12.2776i | −0.305520 | − | 0.457243i | ||||
\(722\) | 4.99722 | − | 12.0644i | 0.185977 | − | 0.448989i | ||||
\(723\) | −1.58426 | + | 3.82475i | −0.0589194 | + | 0.142244i | ||||
\(724\) | 7.40659 | + | 11.0848i | 0.275264 | + | 0.411962i | ||||
\(725\) | 33.3572 | − | 1.16905i | 1.23886 | − | 0.0434175i | ||||
\(726\) | −19.2400 | − | 12.8557i | −0.714062 | − | 0.477121i | ||||
\(727\) | 44.6488 | 1.65593 | 0.827967 | − | 0.560777i | \(-0.189498\pi\) | ||||
0.827967 | + | 0.560777i | \(0.189498\pi\) | |||||||
\(728\) | 6.44447 | + | 4.30606i | 0.238848 | + | 0.159593i | ||||
\(729\) | 13.5115 | + | 5.59663i | 0.500424 | + | 0.207282i | ||||
\(730\) | 1.41422 | + | 12.1696i | 0.0523427 | + | 0.450416i | ||||
\(731\) | −31.5056 | − | 30.7988i | −1.16527 | − | 1.13914i | ||||
\(732\) | −3.21426 | − | 3.21426i | −0.118803 | − | 0.118803i | ||||
\(733\) | 21.7778 | − | 9.02065i | 0.804381 | − | 0.333185i | 0.0576712 | − | 0.998336i | \(-0.481632\pi\) |
0.746710 | + | 0.665150i | \(0.231632\pi\) | |||||||
\(734\) | 3.20087 | + | 16.0919i | 0.118146 | + | 0.593961i | ||||
\(735\) | −1.11466 | − | 9.59175i | −0.0411147 | − | 0.353797i | ||||
\(736\) | −1.85758 | + | 2.78006i | −0.0684713 | + | 0.102475i | ||||
\(737\) | 8.69814 | + | 13.0177i | 0.320400 | + | 0.479513i | ||||
\(738\) | 21.3298 | + | 4.24276i | 0.785161 | + | 0.156178i | ||||
\(739\) | 25.2821 | − | 10.4722i | 0.930017 | − | 0.385226i | 0.134332 | − | 0.990936i | \(-0.457111\pi\) |
0.795685 | + | 0.605711i | \(0.207111\pi\) | |||||||
\(740\) | −1.00184 | + | 3.52366i | −0.0368284 | + | 0.129532i | ||||
\(741\) | −9.65782 | + | 6.45315i | −0.354789 | + | 0.237062i | ||||
\(742\) | 6.41894 | − | 4.28900i | 0.235647 | − | 0.157454i | ||||
\(743\) | −17.4435 | + | 3.46972i | −0.639939 | + | 0.127292i | −0.504386 | − | 0.863478i | \(-0.668281\pi\) |
−0.135553 | + | 0.990770i | \(0.543281\pi\) | |||||||
\(744\) | 3.41582 | + | 3.41582i | 0.125230 | + | 0.125230i | ||||
\(745\) | 23.1006 | − | 7.45177i | 0.846341 | − | 0.273012i | ||||
\(746\) | −0.329357 | + | 0.795138i | −0.0120586 | + | 0.0291121i | ||||
\(747\) | −8.39666 | + | 8.39666i | −0.307218 | + | 0.307218i | ||||
\(748\) | −23.3358 | + | 4.91758i | −0.853242 | + | 0.179805i | ||||
\(749\) | 21.8964i | 0.800076i | ||||||||
\(750\) | 11.5090 | + | 0.525482i | 0.420249 | + | 0.0191879i | ||||
\(751\) | −17.2734 | + | 3.43589i | −0.630314 | + | 0.125377i | −0.499901 | − | 0.866082i | \(-0.666630\pi\) |
−0.130413 | + | 0.991460i | \(0.541630\pi\) | |||||||
\(752\) | − | 2.54171i | − | 0.0926868i | ||||||
\(753\) | −2.16441 | − | 10.8812i | −0.0788754 | − | 0.396534i | ||||
\(754\) | −6.02237 | + | 30.2765i | −0.219322 | + | 1.10260i | ||||
\(755\) | −12.1216 | − | 14.2536i | −0.441150 | − | 0.518742i | ||||
\(756\) | −3.26387 | − | 7.87968i | −0.118706 | − | 0.286581i | ||||
\(757\) | −0.525165 | − | 0.217531i | −0.0190875 | − | 0.00790628i | 0.373119 | − | 0.927783i | \(-0.378288\pi\) |
−0.392207 | + | 0.919877i | \(0.628288\pi\) | |||||||
\(758\) | 4.30738 | − | 21.6547i | 0.156451 | − | 0.786533i | ||||
\(759\) | −19.5457 | − | 3.88788i | −0.709464 | − | 0.141121i | ||||
\(760\) | 1.67332 | + | 5.18731i | 0.0606976 | + | 0.188164i | ||||
\(761\) | −6.97045 | + | 6.97045i | −0.252679 | + | 0.252679i | −0.822068 | − | 0.569389i | \(-0.807180\pi\) |
0.569389 | + | 0.822068i | \(0.307180\pi\) | |||||||
\(762\) | −7.91251 | + | 11.8419i | −0.286640 | + | 0.428987i | ||||
\(763\) | −6.11073 | − | 14.7526i | −0.221223 | − | 0.534080i | ||||
\(764\) | 17.6401 | 0.638196 | ||||||||
\(765\) | −7.96503 | + | 15.9953i | −0.287976 | + | 0.578311i | ||||
\(766\) | 30.3002 | 1.09479 | ||||||||
\(767\) | 18.5419 | + | 44.7641i | 0.669509 | + | 1.61634i | ||||
\(768\) | 0.572498 | − | 0.856804i | 0.0206582 | − | 0.0309172i | ||||
\(769\) | 36.4693 | − | 36.4693i | 1.31512 | − | 1.31512i | 0.397525 | − | 0.917591i | \(-0.369869\pi\) |
0.917591 | − | 0.397525i | \(-0.130131\pi\) | |||||||
\(770\) | 19.2941 | + | 9.88241i | 0.695312 | + | 0.356137i | ||||
\(771\) | −0.668987 | − | 0.133070i | −0.0240930 | − | 0.00479239i | ||||
\(772\) | 0.617484 | − | 3.10430i | 0.0222238 | − | 0.111726i | ||||
\(773\) | −4.65381 | − | 1.92767i | −0.167386 | − | 0.0693336i | 0.297417 | − | 0.954748i | \(-0.403875\pi\) |
−0.464803 | + | 0.885414i | \(0.653875\pi\) | |||||||
\(774\) | −7.92557 | − | 19.1340i | −0.284879 | − | 0.687758i | ||||
\(775\) | −15.9835 | + | 17.1445i | −0.574143 | + | 0.615847i | ||||
\(776\) | −1.86285 | + | 9.36520i | −0.0668726 | + | 0.336191i | ||||
\(777\) | −0.552021 | − | 2.77519i | −0.0198036 | − | 0.0995596i | ||||
\(778\) | 30.9403i | 1.10926i | ||||||||
\(779\) | 26.8260 | − | 5.33603i | 0.961142 | − | 0.191183i | ||||
\(780\) | −2.91400 | + | 10.2491i | −0.104338 | + | 0.366976i | ||||
\(781\) | − | 47.4980i | − | 1.69961i | ||||||
\(782\) | −11.3749 | + | 7.78852i | −0.406765 | + | 0.278517i | ||||
\(783\) | 24.0198 | − | 24.0198i | 0.858398 | − | 0.858398i | ||||
\(784\) | 1.60373 | − | 3.87174i | 0.0572760 | − | 0.138276i | ||||
\(785\) | 10.1817 | + | 5.21504i | 0.363401 | + | 0.186133i | ||||
\(786\) | −0.0761970 | − | 0.0761970i | −0.00271786 | − | 0.00271786i | ||||
\(787\) | 5.13427 | − | 1.02127i | 0.183017 | − | 0.0364043i | −0.102731 | − | 0.994709i | \(-0.532758\pi\) |
0.285748 | + | 0.958305i | \(0.407758\pi\) | |||||||
\(788\) | 16.6934 | − | 11.1542i | 0.594677 | − | 0.397351i | ||||
\(789\) | 22.0921 | − | 14.7615i | 0.786501 | − | 0.525523i | ||||
\(790\) | 9.87728 | + | 2.80829i | 0.351418 | + | 0.0999144i | ||||
\(791\) | 10.7194 | − | 4.44011i | 0.381137 | − | 0.157872i | ||||
\(792\) | −10.9949 | − | 2.18702i | −0.390687 | − | 0.0777125i | ||||
\(793\) | 11.3330 | + | 16.9611i | 0.402447 | + | 0.602305i | ||||
\(794\) | −6.08149 | + | 9.10159i | −0.215824 | + | 0.323003i | ||||
\(795\) | 8.32068 | + | 6.58813i | 0.295104 | + | 0.233657i | ||||
\(796\) | 1.11803 | + | 5.62073i | 0.0396276 | + | 0.199221i | ||||
\(797\) | −21.0345 | + | 8.71279i | −0.745081 | + | 0.308623i | −0.722733 | − | 0.691128i | \(-0.757114\pi\) |
−0.0223483 | + | 0.999750i | \(0.507114\pi\) | |||||||
\(798\) | −2.97693 | − | 2.97693i | −0.105382 | − | 0.105382i | ||||
\(799\) | 3.90035 | − | 9.72690i | 0.137985 | − | 0.344113i | ||||
\(800\) | 4.25209 | + | 2.63054i | 0.150334 | + | 0.0930035i | ||||
\(801\) | 25.9523 | + | 10.7498i | 0.916980 | + | 0.379825i | ||||
\(802\) | 12.1334 | + | 8.10725i | 0.428444 | + | 0.286277i | ||||
\(803\) | −31.6910 | −1.11835 | ||||||||
\(804\) | −2.31918 | − | 1.54963i | −0.0817913 | − | 0.0546512i | ||||
\(805\) | 12.4904 | + | 1.00965i | 0.440227 | + | 0.0355854i | ||||
\(806\) | −12.0437 | − | 18.0247i | −0.424221 | − | 0.634892i | ||||
\(807\) | −10.9098 | + | 26.3386i | −0.384043 | + | 0.927163i | ||||
\(808\) | 3.35024 | − | 8.08820i | 0.117861 | − | 0.284542i | ||||
\(809\) | 10.5409 | + | 15.7756i | 0.370598 | + | 0.554640i | 0.969159 | − | 0.246438i | \(-0.0792602\pi\) |
−0.598560 | + | 0.801078i | \(0.704260\pi\) | |||||||
\(810\) | −0.972237 | + | 0.826812i | −0.0341609 | + | 0.0290512i | ||||
\(811\) | −38.9732 | − | 26.0410i | −1.36853 | − | 0.914424i | −0.368647 | − | 0.929569i | \(-0.620179\pi\) |
−0.999885 | + | 0.0151451i | \(0.995179\pi\) | |||||||
\(812\) | −11.1888 | −0.392649 | ||||||||
\(813\) | 0.993748 | + | 0.664001i | 0.0348523 | + | 0.0232875i | ||||
\(814\) | −8.75464 | − | 3.62629i | −0.306850 | − | 0.127101i | ||||
\(815\) | 17.5500 | + | 13.8957i | 0.614750 | + | 0.486745i | ||||
\(816\) | 3.50569 | − | 2.40039i | 0.122724 | − | 0.0840303i | ||||
\(817\) | −18.4181 | − | 18.4181i | −0.644368 | − | 0.644368i | ||||
\(818\) | 2.17534 | − | 0.901056i | 0.0760590 | − | 0.0315047i | ||||
\(819\) | 2.93063 | + | 14.7332i | 0.102404 | + | 0.514821i | ||||
\(820\) | 15.5753 | − | 19.6713i | 0.543912 | − | 0.686950i | ||||
\(821\) | −15.3189 | + | 22.9263i | −0.534632 | + | 0.800133i | −0.996211 | − | 0.0869661i | \(-0.972283\pi\) |
0.461580 | + | 0.887099i | \(0.347283\pi\) | |||||||
\(822\) | 3.30837 | + | 4.95133i | 0.115393 | + | 0.172697i | ||||
\(823\) | 14.5340 | + | 2.89100i | 0.506624 | + | 0.100774i | 0.441783 | − | 0.897122i | \(-0.354346\pi\) |
0.0648408 | + | 0.997896i | \(0.479346\pi\) | |||||||
\(824\) | 8.13931 | − | 3.37141i | 0.283546 | − | 0.117449i | ||||
\(825\) | −4.78668 | + | 29.4146i | −0.166651 | + | 1.02409i | ||||
\(826\) | −14.6020 | + | 9.75672i | −0.508067 | + | 0.339480i | ||||
\(827\) | −8.00167 | + | 5.34655i | −0.278245 | + | 0.185918i | −0.686861 | − | 0.726789i | \(-0.741012\pi\) |
0.408615 | + | 0.912707i | \(0.366012\pi\) | |||||||
\(828\) | −6.35574 | + | 1.26424i | −0.220877 | + | 0.0439352i | ||||
\(829\) | 17.9667 | + | 17.9667i | 0.624011 | + | 0.624011i | 0.946555 | − | 0.322544i | \(-0.104538\pi\) |
−0.322544 | + | 0.946555i | \(0.604538\pi\) | |||||||
\(830\) | 4.20594 | + | 13.0385i | 0.145990 | + | 0.452572i | ||||
\(831\) | 8.66239 | − | 20.9129i | 0.300495 | − | 0.725459i | ||||
\(832\) | −3.26987 | + | 3.26987i | −0.113362 | + | 0.113362i | ||||
\(833\) | 12.0786 | − | 12.3558i | 0.418500 | − | 0.428103i | ||||
\(834\) | 1.69124i | 0.0585629i | ||||||||
\(835\) | 13.8023 | + | 24.7687i | 0.477647 | + | 0.857155i | ||||
\(836\) | −13.8280 | + | 2.75057i | −0.478253 | + | 0.0951304i | ||||
\(837\) | 23.8547i | 0.824538i | ||||||||
\(838\) | 5.33045 | + | 26.7980i | 0.184137 | + | 0.925720i | ||||
\(839\) | 1.70308 | − | 8.56197i | 0.0587969 | − | 0.295592i | −0.940187 | − | 0.340659i | \(-0.889350\pi\) |
0.998984 | + | 0.0450665i | \(0.0143500\pi\) | |||||||
\(840\) | −3.84947 | − | 0.311169i | −0.132819 | − | 0.0107363i | ||||
\(841\) | −5.95566 | − | 14.3782i | −0.205368 | − | 0.495801i | ||||
\(842\) | −9.51613 | − | 3.94171i | −0.327947 | − | 0.135840i | ||||
\(843\) | −6.38918 | + | 32.1206i | −0.220055 | + | 1.10629i | ||||
\(844\) | −18.8799 | − | 3.75544i | −0.649873 | − | 0.129268i | ||||
\(845\) | 8.54648 | − | 16.6859i | 0.294008 | − | 0.574013i | ||||
\(846\) | 3.48334 | − | 3.48334i | 0.119760 | − | 0.119760i | ||||
\(847\) | −20.9102 | + | 31.2943i | −0.718482 | + | 1.07528i | ||||
\(848\) | 1.76263 | + | 4.25536i | 0.0605289 | + | 0.146130i | ||||
\(849\) | −19.8107 | −0.679900 | ||||||||
\(850\) | 12.2357 | + | 16.5918i | 0.419681 | + | 0.569094i | ||||
\(851\) | −5.47769 | −0.187773 | ||||||||
\(852\) | 3.23829 | + | 7.81793i | 0.110942 | + | 0.267838i | ||||
\(853\) | 1.05729 | − | 1.58234i | 0.0362009 | − | 0.0541784i | −0.812928 | − | 0.582365i | \(-0.802128\pi\) |
0.849129 | + | 0.528186i | \(0.177128\pi\) | |||||||
\(854\) | −5.22808 | + | 5.22808i | −0.178901 | + | 0.178901i | ||||
\(855\) | −4.81582 | + | 9.40227i | −0.164697 | + | 0.321551i | ||||
\(856\) | −12.8130 | − | 2.54866i | −0.437939 | − | 0.0871114i | ||||
\(857\) | −5.24173 | + | 26.3520i | −0.179054 | + | 0.900166i | 0.781888 | + | 0.623418i | \(0.214257\pi\) |
−0.960943 | + | 0.276748i | \(0.910743\pi\) | |||||||
\(858\) | −25.4641 | − | 10.5476i | −0.869331 | − | 0.360089i | ||||
\(859\) | 3.39558 | + | 8.19765i | 0.115856 | + | 0.279700i | 0.971161 | − | 0.238424i | \(-0.0766306\pi\) |
−0.855306 | + | 0.518124i | \(0.826631\pi\) | |||||||
\(860\) | −23.8165 | − | 1.92519i | −0.812136 | − | 0.0656483i | ||||
\(861\) | −3.78090 | + | 19.0079i | −0.128853 | + | 0.647787i | ||||
\(862\) | −3.36683 | − | 16.9262i | −0.114675 | − | 0.576509i | ||||
\(863\) | 25.2274i | 0.858750i | 0.903126 | + | 0.429375i | \(0.141266\pi\) | ||||
−0.903126 | + | 0.429375i | \(0.858734\pi\) | |||||||
\(864\) | 4.99082 | − | 0.992735i | 0.169791 | − | 0.0337735i | ||||
\(865\) | −7.74965 | − | 13.9070i | −0.263496 | − | 0.472853i | ||||
\(866\) | − | 25.6450i | − | 0.871453i | ||||||
\(867\) | 17.0994 | − | 3.80643i | 0.580727 | − | 0.129273i | ||||
\(868\) | 5.55593 | − | 5.55593i | 0.188580 | − | 0.188580i | ||||
\(869\) | −10.1650 | + | 24.5404i | −0.344823 | + | 0.832476i | ||||
\(870\) | −4.72222 | − | 14.6390i | −0.160098 | − | 0.496308i | ||||
\(871\) | 8.85083 | + | 8.85083i | 0.299899 | + | 0.299899i | ||||
\(872\) | 9.34398 | − | 1.85863i | 0.316427 | − | 0.0629413i | ||||
\(873\) | −15.3877 | + | 10.2817i | −0.520794 | + | 0.347984i | ||||
\(874\) | −6.77654 | + | 4.52794i | −0.229220 | + | 0.153160i | ||||
\(875\) | 0.854710 | − | 18.7197i | 0.0288945 | − | 0.632841i | ||||
\(876\) | 5.21618 | − | 2.16061i | 0.176239 | − | 0.0730004i | ||||
\(877\) | 4.89051 | + | 0.972782i | 0.165141 | + | 0.0328485i | 0.276968 | − | 0.960879i | \(-0.410670\pi\) |
−0.111827 | + | 0.993728i | \(0.535670\pi\) | |||||||
\(878\) | 19.5608 | + | 29.2748i | 0.660144 | + | 0.987975i | ||||
\(879\) | −0.275122 | + | 0.411749i | −0.00927963 | + | 0.0138879i | ||||
\(880\) | −8.02861 | + | 10.1400i | −0.270644 | + | 0.341818i | ||||
\(881\) | −3.49273 | − | 17.5592i | −0.117673 | − | 0.591583i | −0.993955 | − | 0.109785i | \(-0.964984\pi\) |
0.876282 | − | 0.481798i | \(-0.160016\pi\) | |||||||
\(882\) | 7.50395 | − | 3.10824i | 0.252671 | − | 0.104660i | ||||
\(883\) | 11.6480 | + | 11.6480i | 0.391987 | + | 0.391987i | 0.875395 | − | 0.483408i | \(-0.160601\pi\) |
−0.483408 | + | 0.875395i | \(0.660601\pi\) | |||||||
\(884\) | −17.5312 | + | 7.49573i | −0.589638 | + | 0.252109i | ||||
\(885\) | −18.9281 | − | 14.9869i | −0.636261 | − | 0.503778i | ||||
\(886\) | −10.8385 | − | 4.48945i | −0.364126 | − | 0.150826i | ||||
\(887\) | 13.6871 | + | 9.14546i | 0.459569 | + | 0.307074i | 0.763718 | − | 0.645550i | \(-0.223372\pi\) |
−0.304149 | + | 0.952625i | \(0.598372\pi\) | |||||||
\(888\) | 1.68820 | 0.0566523 | ||||||||
\(889\) | 19.2612 | + | 12.8699i | 0.645999 | + | 0.431642i | ||||
\(890\) | 24.6883 | − | 20.9955i | 0.827555 | − | 0.703771i | ||||
\(891\) | −1.83413 | − | 2.74497i | −0.0614457 | − | 0.0919599i | ||||
\(892\) | 1.65180 | − | 3.98779i | 0.0553062 | − | 0.133521i | ||||
\(893\) | 2.37093 | − | 5.72394i | 0.0793403 | − | 0.191544i | ||||
\(894\) | −6.21453 | − | 9.30070i | −0.207845 | − | 0.311062i | ||||
\(895\) | −18.1595 | − | 1.46791i | −0.607006 | − | 0.0490668i | ||||
\(896\) | −1.39361 | − | 0.931182i | −0.0465573 | − | 0.0311086i | ||||
\(897\) | −15.9327 | −0.531976 | ||||||||
\(898\) | −2.92263 | − | 1.95284i | −0.0975295 | − | 0.0651672i | ||||
\(899\) | 28.9120 | + | 11.9757i | 0.964268 | + | 0.399413i | ||||
\(900\) | 2.22229 | + | 9.43242i | 0.0740763 | + | 0.314414i | ||||
\(901\) | 0.215400 | + | 18.9897i | 0.00717602 | + | 0.632638i | ||||
\(902\) | 45.8932 | + | 45.8932i | 1.52808 | + | 1.52808i | ||||
\(903\) | 17.0511 | − | 7.06281i | 0.567426 | − | 0.235036i | ||||
\(904\) | 1.35050 | + | 6.78941i | 0.0449169 | + | 0.225812i | ||||
\(905\) | 23.3713 | + | 18.5049i | 0.776888 | + | 0.615122i | ||||
\(906\) | −4.79053 | + | 7.16953i | −0.159155 | + | 0.238192i | ||||
\(907\) | −24.6476 | − | 36.8877i | −0.818409 | − | 1.22484i | −0.971598 | − | 0.236639i | \(-0.923954\pi\) |
0.153189 | − | 0.988197i | \(-0.451046\pi\) | |||||||
\(908\) | 19.2931 | + | 3.83764i | 0.640265 | + | 0.127357i | ||||
\(909\) | 15.6760 | − | 6.49322i | 0.519941 | − | 0.215367i | ||||
\(910\) | 16.6704 | + | 4.73969i | 0.552618 | + | 0.157119i | ||||
\(911\) | −18.3469 | + | 12.2590i | −0.607860 | + | 0.406159i | −0.821054 | − | 0.570851i | \(-0.806613\pi\) |
0.213194 | + | 0.977010i | \(0.431613\pi\) | |||||||
\(912\) | 2.08850 | − | 1.39549i | 0.0691571 | − | 0.0462093i | ||||
\(913\) | −34.7573 | + | 6.91365i | −1.15030 | + | 0.228808i | ||||
\(914\) | −24.4174 | − | 24.4174i | −0.807655 | − | 0.807655i | ||||
\(915\) | −9.04675 | − | 4.63372i | −0.299076 | − | 0.153186i | ||||
\(916\) | 1.80208 | − | 4.35060i | 0.0595423 | − | 0.143748i | ||||
\(917\) | −0.123936 | + | 0.123936i | −0.00409274 | + | 0.00409274i | ||||
\(918\) | 20.6228 | + | 3.85949i | 0.680653 | + | 0.127382i | ||||
\(919\) | − | 51.7535i | − | 1.70719i | −0.520937 | − | 0.853595i | \(-0.674417\pi\) | ||
0.520937 | − | 0.853595i | \(-0.325583\pi\) | |||||||
\(920\) | −2.04464 | + | 7.19140i | −0.0674099 | + | 0.237093i | ||||
\(921\) | −15.0954 | + | 3.00267i | −0.497412 | + | 0.0989414i | ||||
\(922\) | 0.0102298i | 0.000336901i | ||||||||
\(923\) | −7.40837 | − | 37.2444i | −0.243849 | − | 1.22591i | ||||
\(924\) | 1.94895 | − | 9.79802i | 0.0641157 | − | 0.322331i | ||||
\(925\) | 0.286903 | + | 8.18639i | 0.00943333 | + | 0.269167i | ||||
\(926\) | 5.70309 | + | 13.7685i | 0.187415 | + | 0.452461i | ||||
\(927\) | 15.7751 | + | 6.53425i | 0.518121 | + | 0.214613i | ||||
\(928\) | 1.30233 | − | 6.54728i | 0.0427512 | − | 0.214925i | ||||
\(929\) | −29.4582 | − | 5.85961i | −0.966493 | − | 0.192247i | −0.313481 | − | 0.949595i | \(-0.601495\pi\) |
−0.653013 | + | 0.757347i | \(0.726495\pi\) | |||||||
\(930\) | 9.61405 | + | 4.92429i | 0.315257 | + | 0.161474i | ||||
\(931\) | 7.22319 | − | 7.22319i | 0.236731 | − | 0.236731i | ||||
\(932\) | 2.83528 | − | 4.24329i | 0.0928726 | − | 0.138994i | ||||
\(933\) | −6.38058 | − | 15.4041i | −0.208891 | − | 0.504307i | ||||
\(934\) | 8.13547 | 0.266201 | ||||||||
\(935\) | −46.2849 | + | 26.4845i | −1.51368 | + | 0.866136i | ||||
\(936\) | −8.96249 | −0.292948 | ||||||||
\(937\) | −4.34223 | − | 10.4831i | −0.141854 | − | 0.342467i | 0.836945 | − | 0.547286i | \(-0.184339\pi\) |
−0.978800 | + | 0.204820i | \(0.934339\pi\) | |||||||
\(938\) | −2.52051 | + | 3.77221i | −0.0822976 | + | 0.123167i | ||||
\(939\) | −3.20695 | + | 3.20695i | −0.104655 | + | 0.104655i | ||||
\(940\) | −1.74482 | − | 5.40899i | −0.0569099 | − | 0.176422i | ||||
\(941\) | 5.10737 | + | 1.01592i | 0.166495 | + | 0.0331180i | 0.277634 | − | 0.960687i | \(-0.410450\pi\) |
−0.111139 | + | 0.993805i | \(0.535450\pi\) | |||||||
\(942\) | 1.02848 | − | 5.17051i | 0.0335096 | − | 0.168464i | ||||
\(943\) | 34.6620 | + | 14.3575i | 1.12875 | + | 0.467543i | ||||
\(944\) | −4.00967 | − | 9.68021i | −0.130504 | − | 0.315064i | ||||
\(945\) | −12.3550 | − | 14.5281i | −0.401909 | − | 0.472599i | ||||
\(946\) | 12.0580 | − | 60.6198i | 0.392041 | − | 1.97092i | ||||
\(947\) | −8.40059 | − | 42.2326i | −0.272983 | − | 1.37238i | −0.837266 | − | 0.546795i | \(-0.815848\pi\) |
0.564284 | − | 0.825581i | \(-0.309152\pi\) | |||||||
\(948\) | − | 4.73224i | − | 0.153696i | ||||||
\(949\) | −24.8497 | + | 4.94292i | −0.806656 | + | 0.160454i | ||||
\(950\) | 7.12192 | + | 9.89036i | 0.231066 | + | 0.320886i | ||||
\(951\) | 33.0871i | 1.07292i | ||||||||
\(952\) | −3.90429 | − | 5.70210i | −0.126539 | − | 0.184806i | ||||
\(953\) | −24.6485 | + | 24.6485i | −0.798443 | + | 0.798443i | −0.982850 | − | 0.184407i | \(-0.940963\pi\) |
0.184407 | + | 0.982850i | \(0.440963\pi\) | |||||||
\(954\) | −3.41621 | + | 8.24746i | −0.110604 | + | 0.267021i | ||||
\(955\) | 37.5396 | − | 12.1095i | 1.21475 | − | 0.391854i | ||||
\(956\) | −1.85189 | − | 1.85189i | −0.0598945 | − | 0.0598945i | ||||
\(957\) | 39.0238 | − | 7.76231i | 1.26146 | − | 0.250920i | ||||
\(958\) | −26.9223 | + | 17.9889i | −0.869820 | + | 0.581195i | ||||
\(959\) | 8.05347 | − | 5.38115i | 0.260060 | − | 0.173767i | ||||
\(960\) | 0.630150 | − | 2.21636i | 0.0203380 | − | 0.0715326i | ||||
\(961\) | 8.33696 | − | 3.45328i | 0.268934 | − | 0.111396i | ||||
\(962\) | −7.43033 | − | 1.47798i | −0.239563 | − | 0.0476521i | ||||
\(963\) | −14.0669 | − | 21.0526i | −0.453300 | − | 0.678412i | ||||
\(964\) | −2.23199 | + | 3.34041i | −0.0718876 | + | 0.107587i | ||||
\(965\) | −0.816968 | − | 7.03011i | −0.0262991 | − | 0.226307i | ||||
\(966\) | −1.12661 | − | 5.66387i | −0.0362482 | − | 0.182232i | ||||
\(967\) | −40.0683 | + | 16.5968i | −1.28851 | + | 0.533718i | −0.918540 | − | 0.395327i | \(-0.870631\pi\) |
−0.369968 | + | 0.929045i | \(0.620631\pi\) | |||||||
\(968\) | −15.8784 | − | 15.8784i | −0.510352 | − | 0.510352i | ||||
\(969\) | 10.1339 | − | 2.13553i | 0.325548 | − | 0.0686031i | ||||
\(970\) | 2.46466 | + | 21.2088i | 0.0791356 | + | 0.680972i | ||||
\(971\) | −38.6703 | − | 16.0178i | −1.24099 | − | 0.514034i | −0.336965 | − | 0.941517i | \(-0.609400\pi\) |
−0.904023 | + | 0.427483i | \(0.859400\pi\) | |||||||
\(972\) | 13.1821 | + | 8.80797i | 0.422815 | + | 0.282516i | ||||
\(973\) | 2.75085 | 0.0881881 | ||||||||
\(974\) | −20.1855 | − | 13.4875i | −0.646784 | − | 0.432168i | ||||
\(975\) | 0.834501 | + | 23.8113i | 0.0267254 | + | 0.762572i | ||||
\(976\) | −2.45076 | − | 3.66782i | −0.0784469 | − | 0.117404i | ||||
\(977\) | −9.47693 | + | 22.8793i | −0.303194 | + | 0.731975i | 0.696699 | + | 0.717363i | \(0.254651\pi\) |
−0.999893 | + | 0.0146115i | \(0.995349\pi\) | |||||||
\(978\) | 3.94774 | − | 9.53069i | 0.126235 | − | 0.304758i | ||||
\(979\) | 46.5747 | + | 69.7039i | 1.48853 | + | 2.22775i | ||||
\(980\) | 0.755016 | − | 9.34032i | 0.0241181 | − | 0.298366i | ||||
\(981\) | 15.3528 | + | 10.2584i | 0.490178 | + | 0.327526i | ||||
\(982\) | 23.4871 | 0.749504 | ||||||||
\(983\) | 21.8065 | + | 14.5707i | 0.695521 | + | 0.464732i | 0.852403 | − | 0.522885i | \(-0.175144\pi\) |
−0.156882 | + | 0.987617i | \(0.550144\pi\) | |||||||
\(984\) | −10.6827 | − | 4.42490i | −0.340551 | − | 0.141061i | ||||
\(985\) | 27.8679 | − | 35.1966i | 0.887946 | − | 1.12146i | ||||
\(986\) | 15.0309 | − | 23.0573i | 0.478683 | − | 0.734295i | ||||
\(987\) | 3.10415 | + | 3.10415i | 0.0988061 | + | 0.0988061i | ||||
\(988\) | −10.4139 | + | 4.31358i | −0.331310 | + | 0.137233i | ||||
\(989\) | −6.97030 | − | 35.0421i | −0.221643 | − | 1.11427i | ||||
\(990\) | −24.8994 | + | 2.89356i | −0.791356 | + | 0.0919633i | ||||
\(991\) | 2.70814 | − | 4.05303i | 0.0860271 | − | 0.128749i | −0.785960 | − | 0.618277i | \(-0.787831\pi\) |
0.871987 | + | 0.489528i | \(0.162831\pi\) | |||||||
\(992\) | 2.60444 | + | 3.89782i | 0.0826911 | + | 0.123756i | ||||
\(993\) | 1.86361 | + | 0.370696i | 0.0591400 | + | 0.0117637i | ||||
\(994\) | 12.7161 | − | 5.26717i | 0.403329 | − | 0.167064i | ||||
\(995\) | 6.23776 | + | 11.1939i | 0.197750 | + | 0.354870i | ||||
\(996\) | 5.24951 | − | 3.50761i | 0.166337 | − | 0.111143i | ||||
\(997\) | 21.9375 | − | 14.6581i | 0.694767 | − | 0.464228i | −0.157375 | − | 0.987539i | \(-0.550303\pi\) |
0.852142 | + | 0.523311i | \(0.175303\pi\) | |||||||
\(998\) | 11.7939 | − | 2.34595i | 0.373329 | − | 0.0742598i | ||||
\(999\) | 5.89484 | + | 5.89484i | 0.186504 | + | 0.186504i |
(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 | 170.2.o.a.57.2 | yes | 32 | |
5.2 | odd | 4 | 850.2.v.c.193.3 | 32 | |||
5.3 | odd | 4 | 170.2.r.a.23.2 | yes | 32 | ||
5.4 | even | 2 | 850.2.s.c.57.3 | 32 | |||
17.3 | odd | 16 | 170.2.r.a.37.2 | yes | 32 | ||
85.3 | even | 16 | inner | 170.2.o.a.3.2 | ✓ | 32 | |
85.37 | even | 16 | 850.2.s.c.343.3 | 32 | |||
85.54 | odd | 16 | 850.2.v.c.207.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.3.2 | ✓ | 32 | 85.3 | even | 16 | inner | |
170.2.o.a.57.2 | yes | 32 | 1.1 | even | 1 | trivial | |
170.2.r.a.23.2 | yes | 32 | 5.3 | odd | 4 | ||
170.2.r.a.37.2 | yes | 32 | 17.3 | odd | 16 | ||
850.2.s.c.57.3 | 32 | 5.4 | even | 2 | |||
850.2.s.c.343.3 | 32 | 85.37 | even | 16 | |||
850.2.v.c.193.3 | 32 | 5.2 | odd | 4 | |||
850.2.v.c.207.3 | 32 | 85.54 | odd | 16 |