Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(11,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.n (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: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 84.11 |
Dual form | 84.2.n.a.23.8 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.430790 | + | 1.34700i | 0.304614 | + | 0.952476i | ||||
\(3\) | 1.66539 | − | 0.475894i | 0.961514 | − | 0.274758i | ||||
\(4\) | −1.62884 | + | 1.16055i | −0.814420 | + | 0.580275i | ||||
\(5\) | −2.36229 | + | 1.36387i | −1.05645 | + | 0.609941i | −0.924448 | − | 0.381309i | \(-0.875473\pi\) |
−0.132001 | + | 0.991250i | \(0.542140\pi\) | |||||||
\(6\) | 1.35846 | + | 2.03828i | 0.554591 | + | 0.832123i | ||||
\(7\) | 1.89768 | − | 1.84359i | 0.717255 | − | 0.696811i | ||||
\(8\) | −2.26495 | − | 1.69410i | −0.800782 | − | 0.598955i | ||||
\(9\) | 2.54705 | − | 1.58510i | 0.849017 | − | 0.528366i | ||||
\(10\) | −2.85479 | − | 2.59447i | −0.902763 | − | 0.820445i | ||||
\(11\) | 1.02012 | − | 1.76690i | 0.307579 | − | 0.532742i | −0.670253 | − | 0.742132i | \(-0.733815\pi\) |
0.977832 | + | 0.209390i | \(0.0671479\pi\) | |||||||
\(12\) | −2.16036 | + | 2.70793i | −0.623641 | + | 0.781711i | ||||
\(13\) | −4.44055 | −1.23159 | −0.615794 | − | 0.787907i | \(-0.711165\pi\) | ||||
−0.615794 | + | 0.787907i | \(0.711165\pi\) | |||||||
\(14\) | 3.30082 | + | 1.76198i | 0.882181 | + | 0.470910i | ||||
\(15\) | −3.28508 | + | 3.39557i | −0.848203 | + | 0.876733i | ||||
\(16\) | 1.30624 | − | 3.78070i | 0.326561 | − | 0.945176i | ||||
\(17\) | 0.571980 | + | 0.330233i | 0.138726 | + | 0.0800933i | 0.567756 | − | 0.823197i | \(-0.307812\pi\) |
−0.429031 | + | 0.903290i | \(0.641145\pi\) | |||||||
\(18\) | 3.23238 | + | 2.74804i | 0.761879 | + | 0.647720i | ||||
\(19\) | −2.54543 | + | 1.46961i | −0.583962 | + | 0.337151i | −0.762707 | − | 0.646745i | \(-0.776130\pi\) |
0.178744 | + | 0.983896i | \(0.442797\pi\) | |||||||
\(20\) | 2.26495 | − | 4.96308i | 0.506459 | − | 1.10978i | ||||
\(21\) | 2.28302 | − | 3.97339i | 0.498196 | − | 0.867064i | ||||
\(22\) | 2.81949 | + | 0.612946i | 0.601117 | + | 0.130680i | ||||
\(23\) | 0.521208 | + | 0.902759i | 0.108679 | + | 0.188238i | 0.915236 | − | 0.402919i | \(-0.132004\pi\) |
−0.806556 | + | 0.591158i | \(0.798671\pi\) | |||||||
\(24\) | −4.57825 | − | 1.74346i | −0.934531 | − | 0.355883i | ||||
\(25\) | 1.22028 | − | 2.11358i | 0.244055 | − | 0.422716i | ||||
\(26\) | −1.91294 | − | 5.98144i | −0.375159 | − | 1.17306i | ||||
\(27\) | 3.48749 | − | 3.85193i | 0.671168 | − | 0.741305i | ||||
\(28\) | −0.951438 | + | 5.20526i | −0.179805 | + | 0.983702i | ||||
\(29\) | 2.06727i | 0.383883i | 0.981406 | + | 0.191941i | \(0.0614783\pi\) | ||||
−0.981406 | + | 0.191941i | \(0.938522\pi\) | |||||||
\(30\) | −5.98903 | − | 2.96224i | −1.09344 | − | 0.540828i | ||||
\(31\) | −2.68812 | − | 1.55199i | −0.482800 | − | 0.278745i | 0.238782 | − | 0.971073i | \(-0.423252\pi\) |
−0.721583 | + | 0.692328i | \(0.756585\pi\) | |||||||
\(32\) | 5.65534 | + | 0.130827i | 0.999733 | + | 0.0231271i | ||||
\(33\) | 0.858043 | − | 3.42806i | 0.149366 | − | 0.596748i | ||||
\(34\) | −0.198422 | + | 0.912721i | −0.0340291 | + | 0.156530i | ||||
\(35\) | −1.96845 | + | 6.94327i | −0.332730 | + | 1.17363i | ||||
\(36\) | −2.30915 | + | 5.53785i | −0.384858 | + | 0.922976i | ||||
\(37\) | 4.76004 | + | 8.24463i | 0.782546 | + | 1.35541i | 0.930454 | + | 0.366408i | \(0.119412\pi\) |
−0.147909 | + | 0.989001i | \(0.547254\pi\) | |||||||
\(38\) | −3.07611 | − | 2.79562i | −0.499011 | − | 0.453509i | ||||
\(39\) | −7.39525 | + | 2.11323i | −1.18419 | + | 0.338388i | ||||
\(40\) | 7.66101 | + | 0.912859i | 1.21131 | + | 0.144336i | ||||
\(41\) | 7.85889i | 1.22735i | 0.789558 | + | 0.613676i | \(0.210310\pi\) | ||||
−0.789558 | + | 0.613676i | \(0.789690\pi\) | |||||||
\(42\) | 6.33567 | + | 1.36355i | 0.977615 | + | 0.210400i | ||||
\(43\) | 0.530567i | 0.0809106i | 0.999181 | + | 0.0404553i | \(0.0128808\pi\) | ||||
−0.999181 | + | 0.0404553i | \(0.987119\pi\) | |||||||
\(44\) | 0.388965 | + | 4.06191i | 0.0586387 | + | 0.612356i | ||||
\(45\) | −3.85500 | + | 7.21830i | −0.574670 | + | 1.07604i | ||||
\(46\) | −0.991489 | + | 1.09097i | −0.146187 | + | 0.160855i | ||||
\(47\) | −0.521208 | − | 0.902759i | −0.0760260 | − | 0.131681i | 0.825506 | − | 0.564393i | \(-0.190890\pi\) |
−0.901532 | + | 0.432712i | \(0.857557\pi\) | |||||||
\(48\) | 0.376190 | − | 6.91798i | 0.0542983 | − | 0.998525i | ||||
\(49\) | 0.202367 | − | 6.99707i | 0.0289096 | − | 0.999582i | ||||
\(50\) | 3.37268 | + | 0.733208i | 0.476969 | + | 0.103691i | ||||
\(51\) | 1.10973 | + | 0.277765i | 0.155393 | + | 0.0388948i | ||||
\(52\) | 7.23295 | − | 5.15349i | 1.00303 | − | 0.714660i | ||||
\(53\) | −9.16829 | − | 5.29332i | −1.25936 | − | 0.727093i | −0.286411 | − | 0.958107i | \(-0.592462\pi\) |
−0.972950 | + | 0.231014i | \(0.925796\pi\) | |||||||
\(54\) | 6.69095 | + | 3.03829i | 0.910523 | + | 0.413459i | ||||
\(55\) | 5.56526i | 0.750419i | ||||||||
\(56\) | −7.42138 | + | 0.960783i | −0.991724 | + | 0.128390i | ||||
\(57\) | −3.53976 | + | 3.65883i | −0.468853 | + | 0.484623i | ||||
\(58\) | −2.78462 | + | 0.890559i | −0.365639 | + | 0.116936i | ||||
\(59\) | 1.74375 | − | 3.02026i | 0.227016 | − | 0.393204i | −0.729906 | − | 0.683547i | \(-0.760436\pi\) |
0.956922 | + | 0.290343i | \(0.0937696\pi\) | |||||||
\(60\) | 1.41013 | − | 9.34335i | 0.182047 | − | 1.20622i | ||||
\(61\) | 0.0992110 | + | 0.171839i | 0.0127027 | + | 0.0220017i | 0.872307 | − | 0.488959i | \(-0.162623\pi\) |
−0.859604 | + | 0.510960i | \(0.829290\pi\) | |||||||
\(62\) | 0.932518 | − | 4.28949i | 0.118430 | − | 0.544765i | ||||
\(63\) | 1.91121 | − | 7.70372i | 0.240790 | − | 0.970577i | ||||
\(64\) | 2.26004 | + | 7.67413i | 0.282505 | + | 0.959266i | ||||
\(65\) | 10.4899 | − | 6.05633i | 1.30111 | − | 0.751195i | ||||
\(66\) | 4.98724 | − | 0.320983i | 0.613887 | − | 0.0395103i | ||||
\(67\) | 4.12631 | + | 2.38233i | 0.504109 | + | 0.291048i | 0.730409 | − | 0.683010i | \(-0.239330\pi\) |
−0.226300 | + | 0.974058i | \(0.572663\pi\) | |||||||
\(68\) | −1.31492 | + | 0.125915i | −0.159457 | + | 0.0152695i | ||||
\(69\) | 1.29763 | + | 1.25541i | 0.156217 | + | 0.151133i | ||||
\(70\) | −10.2006 | + | 0.339574i | −1.21921 | + | 0.0405868i | ||||
\(71\) | 5.52774 | 0.656022 | 0.328011 | − | 0.944674i | \(-0.393622\pi\) | ||||
0.328011 | + | 0.944674i | \(0.393622\pi\) | |||||||
\(72\) | −8.45427 | − | 0.724784i | −0.996345 | − | 0.0854167i | ||||
\(73\) | 1.51791 | − | 2.62910i | 0.177658 | − | 0.307712i | −0.763420 | − | 0.645902i | \(-0.776481\pi\) |
0.941078 | + | 0.338190i | \(0.109815\pi\) | |||||||
\(74\) | −9.05497 | + | 9.96349i | −1.05262 | + | 1.15823i | ||||
\(75\) | 1.02640 | − | 4.10066i | 0.118518 | − | 0.473503i | ||||
\(76\) | 2.44055 | − | 5.34786i | 0.279950 | − | 0.613442i | ||||
\(77\) | −1.32158 | − | 5.23370i | −0.150608 | − | 0.596436i | ||||
\(78\) | −6.03233 | − | 9.05108i | −0.683027 | − | 1.02483i | ||||
\(79\) | 9.45104 | − | 5.45656i | 1.06332 | − | 0.613911i | 0.136975 | − | 0.990575i | \(-0.456262\pi\) |
0.926350 | + | 0.376664i | \(0.122929\pi\) | |||||||
\(80\) | 2.07066 | + | 10.7127i | 0.231507 | + | 1.19771i | ||||
\(81\) | 3.97492 | − | 8.07465i | 0.441658 | − | 0.897183i | ||||
\(82\) | −10.5860 | + | 3.38553i | −1.16902 | + | 0.373869i | ||||
\(83\) | −9.15881 | −1.00531 | −0.502655 | − | 0.864487i | \(-0.667643\pi\) | ||||
−0.502655 | + | 0.864487i | \(0.667643\pi\) | |||||||
\(84\) | 0.892639 | + | 9.12158i | 0.0973948 | + | 0.995246i | ||||
\(85\) | −1.80158 | −0.195409 | ||||||||
\(86\) | −0.714675 | + | 0.228563i | −0.0770654 | + | 0.0246465i | ||||
\(87\) | 0.983802 | + | 3.44281i | 0.105475 | + | 0.369108i | ||||
\(88\) | −5.30385 | + | 2.27377i | −0.565392 | + | 0.242384i | ||||
\(89\) | 0.468730 | − | 0.270622i | 0.0496853 | − | 0.0286858i | −0.474952 | − | 0.880012i | \(-0.657534\pi\) |
0.524637 | + | 0.851326i | \(0.324201\pi\) | |||||||
\(90\) | −11.3838 | − | 2.08313i | −1.19996 | − | 0.219582i | ||||
\(91\) | −8.42674 | + | 8.18655i | −0.883362 | + | 0.858183i | ||||
\(92\) | −1.89666 | − | 0.865562i | −0.197741 | − | 0.0902411i | ||||
\(93\) | −5.21535 | − | 1.30540i | −0.540806 | − | 0.135364i | ||||
\(94\) | 0.991489 | − | 1.09097i | 0.102264 | − | 0.112525i | ||||
\(95\) | 4.00870 | − | 6.94327i | 0.411284 | − | 0.712365i | ||||
\(96\) | 9.48061 | − | 2.47347i | 0.967611 | − | 0.252447i | ||||
\(97\) | −6.91692 | −0.702307 | −0.351153 | − | 0.936318i | \(-0.614210\pi\) | ||||
−0.351153 | + | 0.936318i | \(0.614210\pi\) | |||||||
\(98\) | 9.51227 | − | 2.74168i | 0.960884 | − | 0.276951i | ||||
\(99\) | −0.202415 | − | 6.11739i | −0.0203435 | − | 0.614821i | ||||
\(100\) | 0.465282 | + | 4.85888i | 0.0465282 | + | 0.485888i | ||||
\(101\) | 8.77393 | + | 5.06563i | 0.873039 | + | 0.504049i | 0.868357 | − | 0.495940i | \(-0.165176\pi\) |
0.00468180 | + | 0.999989i | \(0.498510\pi\) | |||||||
\(102\) | 0.103908 | + | 1.61446i | 0.0102885 | + | 0.159856i | ||||
\(103\) | 6.34079 | − | 3.66086i | 0.624777 | − | 0.360715i | −0.153950 | − | 0.988079i | \(-0.549199\pi\) |
0.778726 | + | 0.627364i | \(0.215866\pi\) | |||||||
\(104\) | 10.0576 | + | 7.52275i | 0.986234 | + | 0.737666i | ||||
\(105\) | 0.0260175 | + | 12.5000i | 0.00253905 | + | 1.21988i | ||||
\(106\) | 3.18051 | − | 14.6300i | 0.308919 | − | 1.42099i | ||||
\(107\) | −8.76332 | − | 15.1785i | −0.847182 | − | 1.46736i | −0.883713 | − | 0.468030i | \(-0.844964\pi\) |
0.0365308 | − | 0.999333i | \(-0.488369\pi\) | |||||||
\(108\) | −1.21020 | + | 10.3216i | −0.116452 | + | 0.993196i | ||||
\(109\) | −0.319487 | + | 0.553367i | −0.0306013 | + | 0.0530030i | −0.880920 | − | 0.473264i | \(-0.843076\pi\) |
0.850319 | + | 0.526267i | \(0.176409\pi\) | |||||||
\(110\) | −7.49642 | + | 2.39745i | −0.714756 | + | 0.228588i | ||||
\(111\) | 11.8509 | + | 11.4653i | 1.12484 | + | 1.08823i | ||||
\(112\) | −4.49123 | − | 9.58274i | −0.424382 | − | 0.905483i | ||||
\(113\) | − | 10.7917i | − | 1.01520i | −0.861593 | − | 0.507600i | \(-0.830533\pi\) | ||
0.861593 | − | 0.507600i | \(-0.169467\pi\) | |||||||
\(114\) | −6.45335 | − | 3.19189i | −0.604411 | − | 0.298948i | ||||
\(115\) | −2.46249 | − | 1.42172i | −0.229628 | − | 0.132576i | ||||
\(116\) | −2.39917 | − | 3.36726i | −0.222758 | − | 0.312642i | ||||
\(117\) | −11.3103 | + | 7.03871i | −1.04564 | + | 0.650729i | ||||
\(118\) | 4.81949 | + | 1.04774i | 0.443670 | + | 0.0964521i | ||||
\(119\) | 1.69425 | − | 0.427820i | 0.155311 | − | 0.0392182i | ||||
\(120\) | 13.1930 | − | 2.12556i | 1.20435 | − | 0.194037i | ||||
\(121\) | 3.41870 | + | 5.92136i | 0.310791 | + | 0.538305i | ||||
\(122\) | −0.188728 | + | 0.207664i | −0.0170866 | + | 0.0188010i | ||||
\(123\) | 3.74000 | + | 13.0881i | 0.337225 | + | 1.18012i | ||||
\(124\) | 6.17967 | − | 0.591761i | 0.554951 | − | 0.0531417i | ||||
\(125\) | − | 6.98150i | − | 0.624445i | ||||||
\(126\) | 11.2003 | − | 0.744271i | 0.997799 | − | 0.0663049i | ||||
\(127\) | − | 10.9563i | − | 0.972210i | −0.873900 | − | 0.486105i | \(-0.838417\pi\) | ||
0.873900 | − | 0.486105i | \(-0.161583\pi\) | |||||||
\(128\) | −9.36348 | + | 6.35022i | −0.827623 | + | 0.561285i | ||||
\(129\) | 0.252494 | + | 0.883600i | 0.0222308 | + | 0.0777967i | ||||
\(130\) | 12.6768 | + | 11.5209i | 1.11183 | + | 1.01045i | ||||
\(131\) | 11.0778 | + | 19.1873i | 0.967869 | + | 1.67640i | 0.701700 | + | 0.712473i | \(0.252425\pi\) |
0.266169 | + | 0.963926i | \(0.414242\pi\) | |||||||
\(132\) | 2.58082 | + | 6.57956i | 0.224631 | + | 0.572677i | ||||
\(133\) | −2.12106 | + | 7.48157i | −0.183920 | + | 0.648734i | ||||
\(134\) | −1.43143 | + | 6.58444i | −0.123657 | + | 0.568809i | ||||
\(135\) | −2.98494 | + | 13.8559i | −0.256902 | + | 1.19252i | ||||
\(136\) | −0.736061 | − | 1.71696i | −0.0631167 | − | 0.147228i | ||||
\(137\) | 12.5610 | + | 7.25212i | 1.07316 | + | 0.619591i | 0.929044 | − | 0.369970i | \(-0.120632\pi\) |
0.144119 | + | 0.989560i | \(0.453965\pi\) | |||||||
\(138\) | −1.13203 | + | 2.28873i | −0.0963649 | + | 0.194830i | ||||
\(139\) | − | 5.78265i | − | 0.490478i | −0.969463 | − | 0.245239i | \(-0.921134\pi\) | ||
0.969463 | − | 0.245239i | \(-0.0788665\pi\) | |||||||
\(140\) | −4.85172 | − | 13.5940i | −0.410045 | − | 1.14890i | ||||
\(141\) | −1.29763 | − | 1.25541i | −0.109280 | − | 0.105724i | ||||
\(142\) | 2.38129 | + | 7.44589i | 0.199834 | + | 0.624845i | ||||
\(143\) | −4.52991 | + | 7.84603i | −0.378810 | + | 0.656118i | ||||
\(144\) | −2.66572 | − | 11.7002i | −0.222144 | − | 0.975014i | ||||
\(145\) | −2.81949 | − | 4.88349i | −0.234146 | − | 0.405552i | ||||
\(146\) | 4.19530 | + | 0.912043i | 0.347206 | + | 0.0754812i | ||||
\(147\) | −2.99285 | − | 11.7492i | −0.246846 | − | 0.969055i | ||||
\(148\) | −17.3217 | − | 7.90492i | −1.42383 | − | 0.649780i | ||||
\(149\) | −11.9993 | + | 6.92781i | −0.983022 | + | 0.567548i | −0.903181 | − | 0.429260i | \(-0.858775\pi\) |
−0.0798408 | + | 0.996808i | \(0.525441\pi\) | |||||||
\(150\) | 5.96576 | − | 0.383962i | 0.487103 | − | 0.0313503i | ||||
\(151\) | −10.1959 | − | 5.88660i | −0.829730 | − | 0.479045i | 0.0240304 | − | 0.999711i | \(-0.492350\pi\) |
−0.853760 | + | 0.520667i | \(0.825683\pi\) | |||||||
\(152\) | 8.25495 | + | 0.983631i | 0.669565 | + | 0.0797830i | ||||
\(153\) | 1.98031 | − | 0.0655255i | 0.160099 | − | 0.00529742i | ||||
\(154\) | 6.48050 | − | 4.03480i | 0.522213 | − | 0.325133i | ||||
\(155\) | 8.46682 | 0.680071 | ||||||||
\(156\) | 9.59317 | − | 12.0247i | 0.768068 | − | 0.962745i | ||||
\(157\) | 5.34134 | − | 9.25147i | 0.426285 | − | 0.738348i | −0.570254 | − | 0.821468i | \(-0.693155\pi\) |
0.996540 | + | 0.0831204i | \(0.0264886\pi\) | |||||||
\(158\) | 11.4214 | + | 10.3800i | 0.908639 | + | 0.825785i | ||||
\(159\) | −17.7878 | − | 4.45230i | −1.41067 | − | 0.353090i | ||||
\(160\) | −13.5380 | + | 7.40409i | −1.07027 | + | 0.585345i | ||||
\(161\) | 2.65340 | + | 0.752253i | 0.209117 | + | 0.0592859i | ||||
\(162\) | 12.5889 | + | 1.87576i | 0.989081 | + | 0.147374i | ||||
\(163\) | −17.7351 | + | 10.2394i | −1.38912 | + | 0.802008i | −0.993216 | − | 0.116284i | \(-0.962902\pi\) |
−0.395903 | + | 0.918292i | \(0.629568\pi\) | |||||||
\(164\) | −9.12065 | − | 12.8009i | −0.712203 | − | 0.999581i | ||||
\(165\) | 2.64847 | + | 9.26832i | 0.206183 | + | 0.721538i | ||||
\(166\) | −3.94552 | − | 12.3370i | −0.306232 | − | 0.957534i | ||||
\(167\) | −22.4614 | −1.73811 | −0.869057 | − | 0.494712i | \(-0.835273\pi\) | ||||
−0.869057 | + | 0.494712i | \(0.835273\pi\) | |||||||
\(168\) | −11.9023 | + | 5.13187i | −0.918280 | + | 0.395932i | ||||
\(169\) | 6.71850 | 0.516808 | ||||||||
\(170\) | −0.776101 | − | 2.42673i | −0.0595242 | − | 0.186122i | ||||
\(171\) | −4.15387 | + | 7.77792i | −0.317655 | + | 0.594793i | ||||
\(172\) | −0.615750 | − | 0.864208i | −0.0469505 | − | 0.0658953i | ||||
\(173\) | 16.8271 | − | 9.71515i | 1.27934 | − | 0.738630i | 0.302616 | − | 0.953113i | \(-0.402140\pi\) |
0.976728 | + | 0.214483i | \(0.0688066\pi\) | |||||||
\(174\) | −4.21367 | + | 2.80831i | −0.319438 | + | 0.212898i | ||||
\(175\) | −1.58088 | − | 6.26058i | −0.119503 | − | 0.473255i | ||||
\(176\) | −5.34762 | − | 6.16479i | −0.403092 | − | 0.464689i | ||||
\(177\) | 1.46670 | − | 5.85975i | 0.110244 | − | 0.440445i | ||||
\(178\) | 0.566453 | + | 0.514801i | 0.0424574 | + | 0.0385860i | ||||
\(179\) | 2.51687 | − | 4.35934i | 0.188119 | − | 0.325833i | −0.756504 | − | 0.653989i | \(-0.773094\pi\) |
0.944623 | + | 0.328157i | \(0.106427\pi\) | |||||||
\(180\) | −2.09802 | − | 16.2314i | −0.156378 | − | 1.20982i | ||||
\(181\) | 5.71850 | 0.425053 | 0.212526 | − | 0.977155i | \(-0.431831\pi\) | ||||
0.212526 | + | 0.977155i | \(0.431831\pi\) | |||||||
\(182\) | −14.6575 | − | 7.82417i | −1.08648 | − | 0.579966i | ||||
\(183\) | 0.247002 | + | 0.238964i | 0.0182589 | + | 0.0176647i | ||||
\(184\) | 0.348853 | − | 2.92769i | 0.0257178 | − | 0.215832i | ||||
\(185\) | −22.4892 | − | 12.9841i | −1.65344 | − | 0.954613i | ||||
\(186\) | −0.488335 | − | 7.58745i | −0.0358064 | − | 0.556339i | ||||
\(187\) | 1.16698 | − | 0.673757i | 0.0853381 | − | 0.0492700i | ||||
\(188\) | 1.89666 | + | 0.865562i | 0.138328 | + | 0.0631276i | ||||
\(189\) | −0.483240 | − | 13.7392i | −0.0351505 | − | 0.999382i | ||||
\(190\) | 11.0795 | + | 2.40865i | 0.803793 | + | 0.174742i | ||||
\(191\) | 4.90753 | + | 8.50010i | 0.355097 | + | 0.615046i | 0.987135 | − | 0.159892i | \(-0.0511146\pi\) |
−0.632038 | + | 0.774938i | \(0.717781\pi\) | |||||||
\(192\) | 7.41592 | + | 11.7049i | 0.535198 | + | 0.844727i | ||||
\(193\) | −8.57953 | + | 14.8602i | −0.617568 | + | 1.06966i | 0.372360 | + | 0.928088i | \(0.378549\pi\) |
−0.989928 | + | 0.141571i | \(0.954785\pi\) | |||||||
\(194\) | −2.97974 | − | 9.31712i | −0.213933 | − | 0.668930i | ||||
\(195\) | 14.5876 | − | 15.0782i | 1.04464 | − | 1.07977i | ||||
\(196\) | 7.79084 | + | 11.6320i | 0.556488 | + | 0.830855i | ||||
\(197\) | 11.0302i | 0.785867i | 0.919567 | + | 0.392934i | \(0.128540\pi\) | ||||
−0.919567 | + | 0.392934i | \(0.871460\pi\) | |||||||
\(198\) | 8.15295 | − | 2.90796i | 0.579405 | − | 0.206660i | ||||
\(199\) | 19.3160 | + | 11.1521i | 1.36927 | + | 0.790550i | 0.990835 | − | 0.135077i | \(-0.0431281\pi\) |
0.378438 | + | 0.925627i | \(0.376461\pi\) | |||||||
\(200\) | −6.34449 | + | 2.71989i | −0.448623 | + | 0.192325i | ||||
\(201\) | 8.00566 | + | 2.00382i | 0.564675 | + | 0.141338i | ||||
\(202\) | −3.04371 | + | 14.0007i | −0.214155 | + | 0.985089i | ||||
\(203\) | 3.81120 | + | 3.92302i | 0.267494 | + | 0.275342i | ||||
\(204\) | −2.12993 | + | 0.835460i | −0.149125 | + | 0.0584939i | ||||
\(205\) | −10.7185 | − | 18.5650i | −0.748612 | − | 1.29663i | ||||
\(206\) | 7.66274 | + | 6.96401i | 0.533888 | + | 0.485206i | ||||
\(207\) | 2.75851 | + | 1.47321i | 0.191729 | + | 0.102395i | ||||
\(208\) | −5.80044 | + | 16.7884i | −0.402188 | + | 1.16407i | ||||
\(209\) | 5.99672i | 0.414802i | ||||||||
\(210\) | −16.8264 | + | 5.41993i | −1.16113 | + | 0.374011i | ||||
\(211\) | 17.9648i | 1.23675i | 0.785884 | + | 0.618374i | \(0.212208\pi\) | ||||
−0.785884 | + | 0.618374i | \(0.787792\pi\) | |||||||
\(212\) | 21.0768 | − | 2.01830i | 1.44756 | − | 0.138618i | ||||
\(213\) | 9.20584 | − | 2.63062i | 0.630774 | − | 0.180247i | ||||
\(214\) | 16.6704 | − | 18.3430i | 1.13956 | − | 1.25390i | ||||
\(215\) | −0.723623 | − | 1.25335i | −0.0493507 | − | 0.0854779i | ||||
\(216\) | −14.4246 | + | 2.81629i | −0.981468 | + | 0.191624i | ||||
\(217\) | −7.96241 | + | 2.01061i | −0.540523 | + | 0.136489i | ||||
\(218\) | −0.883020 | − | 0.191965i | −0.0598057 | − | 0.0130015i | ||||
\(219\) | 1.27674 | − | 5.10083i | 0.0862741 | − | 0.344682i | ||||
\(220\) | −6.45876 | − | 9.06491i | −0.435450 | − | 0.611156i | ||||
\(221\) | −2.53991 | − | 1.46642i | −0.170853 | − | 0.0986419i | ||||
\(222\) | −10.3385 | + | 20.9023i | −0.693875 | + | 1.40287i | ||||
\(223\) | − | 1.95751i | − | 0.131084i | −0.997850 | − | 0.0655422i | \(-0.979122\pi\) | ||
0.997850 | − | 0.0655422i | \(-0.0208777\pi\) | |||||||
\(224\) | 10.9732 | − | 10.1779i | 0.733178 | − | 0.680036i | ||||
\(225\) | −0.242130 | − | 7.31765i | −0.0161420 | − | 0.487843i | ||||
\(226\) | 14.5365 | − | 4.64896i | 0.966954 | − | 0.309245i | ||||
\(227\) | 9.08211 | − | 15.7307i | 0.602801 | − | 1.04408i | −0.389594 | − | 0.920987i | \(-0.627385\pi\) |
0.992395 | − | 0.123095i | \(-0.0392820\pi\) | |||||||
\(228\) | 1.51946 | − | 10.0677i | 0.100628 | − | 0.666751i | ||||
\(229\) | 4.92264 | + | 8.52627i | 0.325297 | + | 0.563432i | 0.981573 | − | 0.191090i | \(-0.0612023\pi\) |
−0.656275 | + | 0.754522i | \(0.727869\pi\) | |||||||
\(230\) | 0.854247 | − | 3.92945i | 0.0563274 | − | 0.259100i | ||||
\(231\) | −4.69163 | − | 8.08723i | −0.308687 | − | 0.532101i | ||||
\(232\) | 3.50217 | − | 4.68228i | 0.229929 | − | 0.307406i | ||||
\(233\) | −22.6957 | + | 13.1034i | −1.48684 | + | 0.858430i | −0.999888 | − | 0.0149969i | \(-0.995226\pi\) |
−0.486956 | + | 0.873426i | \(0.661893\pi\) | |||||||
\(234\) | −14.3535 | − | 12.2028i | −0.938320 | − | 0.797724i | ||||
\(235\) | 2.46249 | + | 1.42172i | 0.160635 | + | 0.0927427i | ||||
\(236\) | 0.664878 | + | 6.94322i | 0.0432798 | + | 0.451965i | ||||
\(237\) | 13.1429 | − | 13.5850i | 0.853724 | − | 0.882440i | ||||
\(238\) | 1.30614 | + | 2.09786i | 0.0846645 | + | 0.135984i | ||||
\(239\) | −16.9336 | −1.09535 | −0.547673 | − | 0.836692i | \(-0.684486\pi\) | ||||
−0.547673 | + | 0.836692i | \(0.684486\pi\) | |||||||
\(240\) | 8.54655 | + | 16.8554i | 0.551677 | + | 1.08801i | ||||
\(241\) | −2.91870 | + | 5.05533i | −0.188010 | + | 0.325643i | −0.944587 | − | 0.328262i | \(-0.893537\pi\) |
0.756577 | + | 0.653905i | \(0.226870\pi\) | |||||||
\(242\) | −6.50335 | + | 7.15586i | −0.418051 | + | 0.459996i | ||||
\(243\) | 2.77712 | − | 15.3391i | 0.178152 | − | 0.984003i | ||||
\(244\) | −0.361026 | − | 0.164758i | −0.0231123 | − | 0.0105476i | ||||
\(245\) | 9.06504 | + | 16.8051i | 0.579144 | + | 1.07364i | ||||
\(246\) | −16.0186 | + | 10.6760i | −1.02131 | + | 0.680679i | ||||
\(247\) | 11.3031 | − | 6.52586i | 0.719201 | − | 0.415231i | ||||
\(248\) | 3.45924 | + | 8.06912i | 0.219662 | + | 0.512390i | ||||
\(249\) | −15.2530 | + | 4.35863i | −0.966620 | + | 0.276217i | ||||
\(250\) | 9.40411 | − | 3.00756i | 0.594768 | − | 0.190215i | ||||
\(251\) | 10.1468 | 0.640462 | 0.320231 | − | 0.947340i | \(-0.396240\pi\) | ||||
0.320231 | + | 0.947340i | \(0.396240\pi\) | |||||||
\(252\) | 5.82750 | + | 14.7662i | 0.367098 | + | 0.930182i | ||||
\(253\) | 2.12679 | 0.133710 | ||||||||
\(254\) | 14.7581 | − | 4.71984i | 0.926007 | − | 0.296149i | ||||
\(255\) | −3.00033 | + | 0.857360i | −0.187888 | + | 0.0536900i | ||||
\(256\) | −12.5875 | − | 9.87704i | −0.786716 | − | 0.617315i | ||||
\(257\) | −10.3764 | + | 5.99080i | −0.647261 | + | 0.373696i | −0.787406 | − | 0.616435i | \(-0.788576\pi\) |
0.140145 | + | 0.990131i | \(0.455243\pi\) | |||||||
\(258\) | −1.08144 | + | 0.720756i | −0.0673276 | + | 0.0448723i | ||||
\(259\) | 24.2327 | + | 6.87010i | 1.50575 | + | 0.426888i | ||||
\(260\) | −10.0576 | + | 22.0388i | −0.623749 | + | 1.36679i | ||||
\(261\) | 3.27683 | + | 5.26544i | 0.202831 | + | 0.325923i | ||||
\(262\) | −21.0731 | + | 23.1875i | −1.30190 | + | 1.43253i | ||||
\(263\) | 7.22199 | − | 12.5088i | 0.445327 | − | 0.771329i | −0.552748 | − | 0.833348i | \(-0.686421\pi\) |
0.998075 | + | 0.0620197i | \(0.0197542\pi\) | |||||||
\(264\) | −7.75091 | + | 6.31078i | −0.477035 | + | 0.388402i | ||||
\(265\) | 28.8775 | 1.77393 | ||||||||
\(266\) | −10.9914 | + | 0.365900i | −0.673928 | + | 0.0224348i | ||||
\(267\) | 0.651832 | − | 0.673757i | 0.0398915 | − | 0.0412332i | ||||
\(268\) | −9.48592 | + | 0.908364i | −0.579445 | + | 0.0554871i | ||||
\(269\) | 5.69092 | + | 3.28566i | 0.346982 | + | 0.200330i | 0.663355 | − | 0.748305i | \(-0.269132\pi\) |
−0.316373 | + | 0.948635i | \(0.602465\pi\) | |||||||
\(270\) | −19.9498 | + | 1.94824i | −1.21411 | + | 0.118566i | ||||
\(271\) | −0.0141559 | + | 0.00817291i | −0.000859910 | + | 0.000496469i | −0.500430 | − | 0.865777i | \(-0.666825\pi\) |
0.499570 | + | 0.866274i | \(0.333491\pi\) | |||||||
\(272\) | 1.99566 | − | 1.73112i | 0.121005 | − | 0.104965i | ||||
\(273\) | −10.1379 | + | 17.6440i | −0.613572 | + | 1.06787i | ||||
\(274\) | −4.35747 | + | 20.0439i | −0.263245 | + | 1.21090i | ||||
\(275\) | −2.48966 | − | 4.31222i | −0.150132 | − | 0.260037i | ||||
\(276\) | −3.57060 | − | 0.538888i | −0.214925 | − | 0.0324372i | ||||
\(277\) | 9.15688 | − | 15.8602i | 0.550184 | − | 0.952946i | −0.448077 | − | 0.893995i | \(-0.647891\pi\) |
0.998261 | − | 0.0589513i | \(-0.0187757\pi\) | |||||||
\(278\) | 7.78926 | − | 2.49111i | 0.467169 | − | 0.149407i | ||||
\(279\) | −9.30682 | + | 0.307948i | −0.557185 | + | 0.0184364i | ||||
\(280\) | 16.2211 | − | 12.3914i | 0.969394 | − | 0.740530i | ||||
\(281\) | 1.61190i | 0.0961580i | 0.998844 | + | 0.0480790i | \(0.0153099\pi\) | ||||
−0.998844 | + | 0.0480790i | \(0.984690\pi\) | |||||||
\(282\) | 1.13203 | − | 2.28873i | 0.0674115 | − | 0.136292i | ||||
\(283\) | −17.8180 | − | 10.2872i | −1.05917 | − | 0.611513i | −0.133969 | − | 0.990986i | \(-0.542772\pi\) |
−0.925203 | + | 0.379472i | \(0.876106\pi\) | |||||||
\(284\) | −9.00380 | + | 6.41522i | −0.534278 | + | 0.380673i | ||||
\(285\) | 3.37179 | − | 13.4710i | 0.199728 | − | 0.797952i | ||||
\(286\) | −12.5201 | − | 2.72182i | −0.740328 | − | 0.160944i | ||||
\(287\) | 14.4886 | + | 14.9137i | 0.855233 | + | 0.880325i | ||||
\(288\) | 14.6118 | − | 8.63105i | 0.861009 | − | 0.508590i | ||||
\(289\) | −8.28189 | − | 14.3447i | −0.487170 | − | 0.843803i | ||||
\(290\) | 5.36348 | − | 5.90162i | 0.314954 | − | 0.346555i | ||||
\(291\) | −11.5194 | + | 3.29172i | −0.675278 | + | 0.192964i | ||||
\(292\) | 0.578767 | + | 6.04399i | 0.0338698 | + | 0.353698i | ||||
\(293\) | − | 11.6573i | − | 0.681026i | −0.940240 | − | 0.340513i | \(-0.889399\pi\) | ||
0.940240 | − | 0.340513i | \(-0.110601\pi\) | |||||||
\(294\) | 14.5369 | − | 9.09280i | 0.847808 | − | 0.530303i | ||||
\(295\) | 9.51296i | 0.553866i | ||||||||
\(296\) | 3.18597 | − | 26.7377i | 0.185181 | − | 1.55410i | ||||
\(297\) | −3.24833 | − | 10.0915i | −0.188487 | − | 0.585569i | ||||
\(298\) | −14.5010 | − | 13.1787i | −0.840018 | − | 0.763421i | ||||
\(299\) | −2.31445 | − | 4.00875i | −0.133848 | − | 0.231832i | ||||
\(300\) | 3.08719 | + | 7.87050i | 0.178239 | + | 0.454404i | ||||
\(301\) | 0.978146 | + | 1.00684i | 0.0563794 | + | 0.0580336i | ||||
\(302\) | 3.53699 | − | 16.2698i | 0.203531 | − | 0.936221i | ||||
\(303\) | 17.0227 | + | 4.26079i | 0.977930 | + | 0.244776i | ||||
\(304\) | 2.23119 | + | 11.5432i | 0.127968 | + | 0.662048i | ||||
\(305\) | −0.468730 | − | 0.270622i | −0.0268394 | − | 0.0154957i | ||||
\(306\) | 0.941362 | + | 2.63926i | 0.0538141 | + | 0.150877i | ||||
\(307\) | − | 3.66039i | − | 0.208909i | −0.994530 | − | 0.104455i | \(-0.966690\pi\) | ||
0.994530 | − | 0.104455i | \(-0.0333097\pi\) | |||||||
\(308\) | 8.22662 | + | 6.99111i | 0.468755 | + | 0.398355i | ||||
\(309\) | 8.81771 | − | 9.11430i | 0.501622 | − | 0.518494i | ||||
\(310\) | 3.64742 | + | 11.4048i | 0.207159 | + | 0.647751i | ||||
\(311\) | 5.87374 | − | 10.1736i | 0.333069 | − | 0.576892i | −0.650043 | − | 0.759897i | \(-0.725249\pi\) |
0.983112 | + | 0.183005i | \(0.0585824\pi\) | |||||||
\(312\) | 20.3299 | + | 7.74193i | 1.15096 | + | 0.438301i | ||||
\(313\) | 7.41692 | + | 12.8465i | 0.419229 | + | 0.726126i | 0.995862 | − | 0.0908771i | \(-0.0289670\pi\) |
−0.576633 | + | 0.817003i | \(0.695634\pi\) | |||||||
\(314\) | 14.7628 | + | 3.20937i | 0.833111 | + | 0.181115i | ||||
\(315\) | 5.99202 | + | 20.8051i | 0.337612 | + | 1.17223i | ||||
\(316\) | −9.06162 | + | 19.8563i | −0.509756 | + | 1.11700i | ||||
\(317\) | 7.19012 | − | 4.15122i | 0.403837 | − | 0.233156i | −0.284301 | − | 0.958735i | \(-0.591762\pi\) |
0.688138 | + | 0.725579i | \(0.258428\pi\) | |||||||
\(318\) | −1.66555 | − | 25.8783i | −0.0933994 | − | 1.45118i | ||||
\(319\) | 3.65267 | + | 2.10887i | 0.204510 | + | 0.118074i | ||||
\(320\) | −15.8054 | − | 15.0461i | −0.883547 | − | 0.841104i | ||||
\(321\) | −21.8177 | − | 21.1077i | −1.21775 | − | 1.17812i | ||||
\(322\) | 0.129770 | + | 3.89821i | 0.00723177 | + | 0.217239i | ||||
\(323\) | −1.94125 | −0.108014 | ||||||||
\(324\) | 2.89653 | + | 17.7654i | 0.160918 | + | 0.986968i | ||||
\(325\) | −5.41870 | + | 9.38546i | −0.300575 | + | 0.520612i | ||||
\(326\) | −21.4326 | − | 19.4782i | −1.18704 | − | 1.07880i | ||||
\(327\) | −0.268726 | + | 1.07361i | −0.0148606 | + | 0.0593710i | ||||
\(328\) | 13.3138 | − | 17.8000i | 0.735130 | − | 0.982843i | ||||
\(329\) | −2.65340 | − | 0.752253i | −0.146287 | − | 0.0414731i | ||||
\(330\) | −11.3435 | + | 7.56020i | −0.624441 | + | 0.416175i | ||||
\(331\) | −13.2232 | + | 7.63441i | −0.726812 | + | 0.419625i | −0.817255 | − | 0.576276i | \(-0.804505\pi\) |
0.0904426 | + | 0.995902i | \(0.471172\pi\) | |||||||
\(332\) | 14.9182 | − | 10.6293i | 0.818745 | − | 0.583357i | ||||
\(333\) | 25.1926 | + | 13.4543i | 1.38055 | + | 0.737294i | ||||
\(334\) | −9.67613 | − | 30.2556i | −0.529454 | − | 1.65551i | ||||
\(335\) | −12.9967 | −0.710087 | ||||||||
\(336\) | −12.0400 | − | 13.8216i | −0.656837 | − | 0.754033i | ||||
\(337\) | −16.9606 | −0.923904 | −0.461952 | − | 0.886905i | \(-0.652851\pi\) | ||||
−0.461952 | + | 0.886905i | \(0.652851\pi\) | |||||||
\(338\) | 2.89426 | + | 9.04985i | 0.157427 | + | 0.492247i | ||||
\(339\) | −5.13572 | − | 17.9724i | −0.278934 | − | 0.976129i | ||||
\(340\) | 2.93448 | − | 2.09082i | 0.159145 | − | 0.113391i | ||||
\(341\) | −5.48442 | + | 3.16643i | −0.296998 | + | 0.171472i | ||||
\(342\) | −12.2663 | − | 2.24464i | −0.663288 | − | 0.121376i | ||||
\(343\) | −12.5157 | − | 13.6513i | −0.675784 | − | 0.737100i | ||||
\(344\) | 0.898834 | − | 1.20171i | 0.0484619 | − | 0.0647918i | ||||
\(345\) | −4.77760 | − | 1.19583i | −0.257217 | − | 0.0643815i | ||||
\(346\) | 20.3353 | + | 18.4810i | 1.09323 | + | 0.993547i | ||||
\(347\) | −11.0283 | + | 19.1015i | −0.592029 | + | 1.02542i | 0.401930 | + | 0.915670i | \(0.368339\pi\) |
−0.993959 | + | 0.109753i | \(0.964994\pi\) | |||||||
\(348\) | −5.59802 | − | 4.46604i | −0.300085 | − | 0.239405i | ||||
\(349\) | −17.6748 | −0.946110 | −0.473055 | − | 0.881033i | \(-0.656849\pi\) | ||||
−0.473055 | + | 0.881033i | \(0.656849\pi\) | |||||||
\(350\) | 7.75200 | − | 4.82644i | 0.414362 | − | 0.257984i | ||||
\(351\) | −15.4864 | + | 17.1047i | −0.826602 | + | 0.912982i | ||||
\(352\) | 6.00030 | − | 9.85899i | 0.319817 | − | 0.525486i | ||||
\(353\) | 0.365480 | + | 0.211010i | 0.0194526 | + | 0.0112309i | 0.509695 | − | 0.860355i | \(-0.329758\pi\) |
−0.490242 | + | 0.871586i | \(0.663092\pi\) | |||||||
\(354\) | 8.52494 | − | 0.548673i | 0.453095 | − | 0.0291616i | ||||
\(355\) | −13.0581 | + | 7.53911i | −0.693053 | + | 0.400134i | ||||
\(356\) | −0.449417 | + | 0.984785i | −0.0238190 | + | 0.0521935i | ||||
\(357\) | 2.61799 | − | 1.51877i | 0.138559 | − | 0.0803818i | ||||
\(358\) | 6.95629 | + | 1.51227i | 0.367651 | + | 0.0799260i | ||||
\(359\) | 7.22199 | + | 12.5088i | 0.381162 | + | 0.660192i | 0.991229 | − | 0.132158i | \(-0.0421907\pi\) |
−0.610067 | + | 0.792350i | \(0.708857\pi\) | |||||||
\(360\) | 20.9599 | − | 9.81836i | 1.10469 | − | 0.517473i | ||||
\(361\) | −5.18051 | + | 8.97291i | −0.272659 | + | 0.472259i | ||||
\(362\) | 2.46347 | + | 7.70284i | 0.129477 | + | 0.404852i | ||||
\(363\) | 8.51141 | + | 8.23443i | 0.446733 | + | 0.432196i | ||||
\(364\) | 4.22491 | − | 23.1142i | 0.221445 | − | 1.21152i | ||||
\(365\) | 8.28091i | 0.433443i | ||||||||
\(366\) | −0.215480 | + | 0.435656i | −0.0112633 | + | 0.0227721i | ||||
\(367\) | −18.8797 | − | 10.9002i | −0.985512 | − | 0.568985i | −0.0815820 | − | 0.996667i | \(-0.525997\pi\) |
−0.903930 | + | 0.427681i | \(0.859331\pi\) | |||||||
\(368\) | 4.09389 | − | 0.791312i | 0.213409 | − | 0.0412500i | ||||
\(369\) | 12.4571 | + | 20.0170i | 0.648492 | + | 1.04204i | ||||
\(370\) | 7.80158 | − | 35.8865i | 0.405585 | − | 1.86565i | ||||
\(371\) | −27.1572 | + | 6.85754i | −1.40993 | + | 0.356026i | ||||
\(372\) | 10.0100 | − | 3.92638i | 0.518992 | − | 0.203573i | ||||
\(373\) | −9.76004 | − | 16.9049i | −0.505356 | − | 0.875302i | −0.999981 | − | 0.00619524i | \(-0.998028\pi\) |
0.494625 | − | 0.869106i | \(-0.335305\pi\) | |||||||
\(374\) | 1.41028 | + | 1.28168i | 0.0729236 | + | 0.0662741i | ||||
\(375\) | −3.32246 | − | 11.6269i | −0.171571 | − | 0.600412i | ||||
\(376\) | −0.348853 | + | 2.92769i | −0.0179907 | + | 0.150984i | ||||
\(377\) | − | 9.17983i | − | 0.472785i | ||||||
\(378\) | 18.2986 | − | 6.56964i | 0.941180 | − | 0.337906i | ||||
\(379\) | − | 34.1136i | − | 1.75230i | −0.482038 | − | 0.876150i | \(-0.660103\pi\) | ||
0.482038 | − | 0.876150i | \(-0.339897\pi\) | |||||||
\(380\) | 1.52849 | + | 15.9618i | 0.0784098 | + | 0.818822i | ||||
\(381\) | −5.21402 | − | 18.2464i | −0.267122 | − | 0.934793i | ||||
\(382\) | −9.33555 | + | 10.2722i | −0.477649 | + | 0.525573i | ||||
\(383\) | 4.10770 | + | 7.11474i | 0.209893 | + | 0.363546i | 0.951681 | − | 0.307089i | \(-0.0993549\pi\) |
−0.741787 | + | 0.670635i | \(0.766022\pi\) | |||||||
\(384\) | −12.5718 | + | 15.0316i | −0.641553 | + | 0.767079i | ||||
\(385\) | 10.2600 | + | 10.5611i | 0.522900 | + | 0.538242i | ||||
\(386\) | −23.7127 | − | 5.15505i | −1.20694 | − | 0.262385i | ||||
\(387\) | 0.841000 | + | 1.35138i | 0.0427505 | + | 0.0686945i | ||||
\(388\) | 11.2666 | − | 8.02744i | 0.571973 | − | 0.407531i | ||||
\(389\) | 4.15260 | + | 2.39750i | 0.210545 | + | 0.121558i | 0.601565 | − | 0.798824i | \(-0.294544\pi\) |
−0.391020 | + | 0.920382i | \(0.627878\pi\) | |||||||
\(390\) | 26.5946 | + | 13.1540i | 1.34667 | + | 0.666077i | ||||
\(391\) | 0.688481i | 0.0348180i | ||||||||
\(392\) | −12.3121 | + | 15.5052i | −0.621855 | + | 0.783132i | ||||
\(393\) | 27.5799 | + | 26.6824i | 1.39122 | + | 1.34595i | ||||
\(394\) | −14.8577 | + | 4.75168i | −0.748520 | + | 0.239386i | ||||
\(395\) | −14.8841 | + | 25.7799i | −0.748898 | + | 1.29713i | ||||
\(396\) | 7.42924 | + | 9.72934i | 0.373334 | + | 0.488918i | ||||
\(397\) | −5.20059 | − | 9.00769i | −0.261010 | − | 0.452083i | 0.705500 | − | 0.708709i | \(-0.250722\pi\) |
−0.966511 | + | 0.256627i | \(0.917389\pi\) | |||||||
\(398\) | −6.70078 | + | 30.8229i | −0.335880 | + | 1.54501i | ||||
\(399\) | 0.0280346 | + | 13.4691i | 0.00140348 | + | 0.674300i | ||||
\(400\) | −6.39684 | − | 7.37435i | −0.319842 | − | 0.368718i | ||||
\(401\) | 10.0211 | − | 5.78571i | 0.500432 | − | 0.288924i | −0.228460 | − | 0.973553i | \(-0.573369\pi\) |
0.728892 | + | 0.684629i | \(0.240036\pi\) | |||||||
\(402\) | 0.749603 | + | 11.6469i | 0.0373868 | + | 0.580893i | ||||
\(403\) | 11.9367 | + | 6.89167i | 0.594611 | + | 0.343299i | ||||
\(404\) | −20.1703 | + | 1.93149i | −1.00351 | + | 0.0960951i | ||||
\(405\) | 1.62284 | + | 24.4959i | 0.0806396 | + | 1.21721i | ||||
\(406\) | −3.64250 | + | 6.82369i | −0.180774 | + | 0.338654i | ||||
\(407\) | 19.4233 | 0.962777 | ||||||||
\(408\) | −2.04292 | − | 2.50911i | −0.101140 | − | 0.124220i | ||||
\(409\) | −10.2185 | + | 17.6990i | −0.505272 | + | 0.875157i | 0.494709 | + | 0.869059i | \(0.335275\pi\) |
−0.999981 | + | 0.00609862i | \(0.998059\pi\) | |||||||
\(410\) | 20.3897 | − | 22.4355i | 1.00698 | − | 1.10801i | ||||
\(411\) | 24.3703 | + | 6.09989i | 1.20210 | + | 0.300885i | ||||
\(412\) | −6.07953 | + | 13.3218i | −0.299517 | + | 0.656316i | ||||
\(413\) | −2.25904 | − | 8.94623i | −0.111160 | − | 0.440215i | ||||
\(414\) | −0.796079 | + | 4.35036i | −0.0391251 | + | 0.213809i | ||||
\(415\) | 21.6358 | − | 12.4914i | 1.06206 | − | 0.613180i | ||||
\(416\) | −25.1128 | − | 0.580942i | −1.23126 | − | 0.0284830i | ||||
\(417\) | −2.75193 | − | 9.63037i | −0.134763 | − | 0.471601i | ||||
\(418\) | −8.07760 | + | 2.58332i | −0.395089 | + | 0.126355i | ||||
\(419\) | 21.9130 | 1.07052 | 0.535259 | − | 0.844688i | \(-0.320214\pi\) | ||||
0.535259 | + | 0.844688i | \(0.320214\pi\) | |||||||
\(420\) | −14.5493 | − | 20.3304i | −0.709933 | − | 0.992021i | ||||
\(421\) | 14.1153 | 0.687940 | 0.343970 | − | 0.938981i | \(-0.388228\pi\) | ||||
0.343970 | + | 0.938981i | \(0.388228\pi\) | |||||||
\(422\) | −24.1987 | + | 7.73905i | −1.17797 | + | 0.376731i | ||||
\(423\) | −2.75851 | − | 1.47321i | −0.134123 | − | 0.0716297i | ||||
\(424\) | 11.7983 | + | 27.5211i | 0.572978 | + | 1.33654i | ||||
\(425\) | 1.39595 | − | 0.805951i | 0.0677134 | − | 0.0390944i | ||||
\(426\) | 7.50924 | + | 11.2671i | 0.363824 | + | 0.545891i | ||||
\(427\) | 0.505070 | + | 0.143190i | 0.0244421 | + | 0.00692945i | ||||
\(428\) | 31.8895 | + | 14.5531i | 1.54144 | + | 0.703451i | ||||
\(429\) | −3.81019 | + | 15.2225i | −0.183958 | + | 0.734947i | ||||
\(430\) | 1.37654 | − | 1.51465i | 0.0663827 | − | 0.0730431i | ||||
\(431\) | 14.5604 | − | 25.2193i | 0.701348 | − | 1.21477i | −0.266646 | − | 0.963795i | \(-0.585915\pi\) |
0.967994 | − | 0.250975i | \(-0.0807512\pi\) | |||||||
\(432\) | −10.0075 | − | 18.2167i | −0.481487 | − | 0.876453i | ||||
\(433\) | 26.1153 | 1.25502 | 0.627512 | − | 0.778607i | \(-0.284073\pi\) | ||||
0.627512 | + | 0.778607i | \(0.284073\pi\) | |||||||
\(434\) | −6.13842 | − | 9.85924i | −0.294654 | − | 0.473259i | ||||
\(435\) | −7.01957 | − | 6.79115i | −0.336563 | − | 0.325611i | ||||
\(436\) | −0.121818 | − | 1.27213i | −0.00583402 | − | 0.0609239i | ||||
\(437\) | −2.65340 | − | 1.53194i | −0.126929 | − | 0.0732827i | ||||
\(438\) | 7.42085 | − | 0.477612i | 0.354582 | − | 0.0228212i | ||||
\(439\) | −15.9204 | + | 9.19162i | −0.759837 | + | 0.438692i | −0.829237 | − | 0.558897i | \(-0.811225\pi\) |
0.0694002 | + | 0.997589i | \(0.477891\pi\) | |||||||
\(440\) | 9.42811 | − | 12.6051i | 0.449467 | − | 0.600922i | ||||
\(441\) | −10.5756 | − | 18.1427i | −0.503601 | − | 0.863937i | ||||
\(442\) | 0.881103 | − | 4.05298i | 0.0419098 | − | 0.192781i | ||||
\(443\) | −4.13441 | − | 7.16101i | −0.196432 | − | 0.340230i | 0.750937 | − | 0.660374i | \(-0.229602\pi\) |
−0.947369 | + | 0.320144i | \(0.896269\pi\) | |||||||
\(444\) | −32.6092 | − | 4.92150i | −1.54757 | − | 0.233564i | ||||
\(445\) | −0.738185 | + | 1.27857i | −0.0349933 | + | 0.0606102i | ||||
\(446\) | 2.63677 | − | 0.843274i | 0.124855 | − | 0.0399302i | ||||
\(447\) | −16.6866 | + | 17.2479i | −0.789251 | + | 0.815798i | ||||
\(448\) | 18.4368 | + | 10.3964i | 0.871055 | + | 0.491186i | ||||
\(449\) | − | 24.1061i | − | 1.13764i | −0.822463 | − | 0.568818i | \(-0.807401\pi\) | ||
0.822463 | − | 0.568818i | \(-0.192599\pi\) | |||||||
\(450\) | 9.75260 | − | 3.47852i | 0.459742 | − | 0.163979i | ||||
\(451\) | 13.8859 | + | 8.01704i | 0.653862 | + | 0.377508i | ||||
\(452\) | 12.5243 | + | 17.5780i | 0.589096 | + | 0.826800i | ||||
\(453\) | −19.7815 | − | 4.95132i | −0.929417 | − | 0.232633i | ||||
\(454\) | 25.1018 | + | 5.45703i | 1.17808 | + | 0.256111i | ||||
\(455\) | 8.74102 | − | 30.8320i | 0.409786 | − | 1.44542i | ||||
\(456\) | 14.2158 | − | 2.29035i | 0.665717 | − | 0.107256i | ||||
\(457\) | 9.34529 | + | 16.1865i | 0.437154 | + | 0.757173i | 0.997469 | − | 0.0711068i | \(-0.0226531\pi\) |
−0.560315 | + | 0.828280i | \(0.689320\pi\) | |||||||
\(458\) | −9.36429 | + | 10.3038i | −0.437565 | + | 0.481467i | ||||
\(459\) | 3.26681 | − | 1.05155i | 0.152482 | − | 0.0490819i | ||||
\(460\) | 5.66098 | − | 0.542091i | 0.263945 | − | 0.0252751i | ||||
\(461\) | 16.3664i | 0.762260i | 0.924521 | + | 0.381130i | \(0.124465\pi\) | ||||
−0.924521 | + | 0.381130i | \(0.875535\pi\) | |||||||
\(462\) | 8.87242 | − | 9.80354i | 0.412782 | − | 0.456102i | ||||
\(463\) | 11.3643i | 0.528142i | 0.964503 | + | 0.264071i | \(0.0850653\pi\) | ||||
−0.964503 | + | 0.264071i | \(0.914935\pi\) | |||||||
\(464\) | 7.81574 | + | 2.70036i | 0.362837 | + | 0.125361i | ||||
\(465\) | 14.1006 | − | 4.02931i | 0.653898 | − | 0.186855i | ||||
\(466\) | −27.4273 | − | 24.9264i | −1.27055 | − | 1.15469i | ||||
\(467\) | −18.1468 | − | 31.4313i | −0.839736 | − | 1.45446i | −0.890116 | − | 0.455735i | \(-0.849377\pi\) |
0.0503800 | − | 0.998730i | \(-0.483957\pi\) | |||||||
\(468\) | 10.2539 | − | 24.5911i | 0.473987 | − | 1.13673i | ||||
\(469\) | 12.2224 | − | 3.08633i | 0.564380 | − | 0.142513i | ||||
\(470\) | −0.854247 | + | 3.92945i | −0.0394035 | + | 0.181252i | ||||
\(471\) | 4.49270 | − | 17.9492i | 0.207012 | − | 0.827057i | ||||
\(472\) | −9.06613 | + | 3.88666i | −0.417302 | + | 0.178898i | ||||
\(473\) | 0.937461 | + | 0.541243i | 0.0431045 | + | 0.0248864i | ||||
\(474\) | 23.9609 | + | 11.8513i | 1.10056 | + | 0.544348i | ||||
\(475\) | 7.17330i | 0.329134i | ||||||||
\(476\) | −2.26315 | + | 2.66311i | −0.103731 | + | 0.122064i | ||||
\(477\) | −31.7425 | + | 1.05031i | −1.45339 | + | 0.0480904i | ||||
\(478\) | −7.29484 | − | 22.8097i | −0.333658 | − | 1.04329i | ||||
\(479\) | −5.59953 | + | 9.69867i | −0.255849 | + | 0.443144i | −0.965126 | − | 0.261787i | \(-0.915688\pi\) |
0.709277 | + | 0.704930i | \(0.249022\pi\) | |||||||
\(480\) | −19.0225 | + | 18.7734i | −0.868253 | + | 0.856882i | ||||
\(481\) | −21.1372 | − | 36.6107i | −0.963773 | − | 1.66930i | ||||
\(482\) | −8.06690 | − | 1.75371i | −0.367437 | − | 0.0798794i | ||||
\(483\) | 4.77694 | − | 0.00994270i | 0.217358 | − | 0.000452408i | ||||
\(484\) | −12.4406 | − | 5.67738i | −0.565480 | − | 0.258063i | ||||
\(485\) | 16.3398 | − | 9.43377i | 0.741951 | − | 0.428366i | ||||
\(486\) | 21.8582 | − | 2.86713i | 0.991507 | − | 0.130056i | ||||
\(487\) | 8.60678 | + | 4.96913i | 0.390010 | + | 0.225173i | 0.682165 | − | 0.731199i | \(-0.261039\pi\) |
−0.292154 | + | 0.956371i | \(0.594372\pi\) | |||||||
\(488\) | 0.0664035 | − | 0.557280i | 0.00300595 | − | 0.0252269i | ||||
\(489\) | −24.6630 | + | 25.4926i | −1.11530 | + | 1.15281i | ||||
\(490\) | −18.7314 | + | 19.4501i | −0.846200 | + | 0.878667i | ||||
\(491\) | −2.64307 | −0.119280 | −0.0596400 | − | 0.998220i | \(-0.518995\pi\) | ||||
−0.0596400 | + | 0.998220i | \(0.518995\pi\) | |||||||
\(492\) | −21.2813 | − | 16.9780i | −0.959435 | − | 0.765428i | ||||
\(493\) | −0.682681 | + | 1.18244i | −0.0307464 | + | 0.0532544i | ||||
\(494\) | 13.6596 | + | 12.4141i | 0.614576 | + | 0.558536i | ||||
\(495\) | 8.82148 | + | 14.1750i | 0.396496 | + | 0.637118i | ||||
\(496\) | −9.37894 | + | 8.13571i | −0.421127 | + | 0.365304i | ||||
\(497\) | 10.4899 | − | 10.1909i | 0.470535 | − | 0.457123i | ||||
\(498\) | −12.4419 | − | 18.6682i | −0.557536 | − | 0.836542i | ||||
\(499\) | −17.1844 | + | 9.92144i | −0.769281 | + | 0.444145i | −0.832618 | − | 0.553848i | \(-0.813159\pi\) |
0.0633371 | + | 0.997992i | \(0.479826\pi\) | |||||||
\(500\) | 8.10239 | + | 11.3718i | 0.362350 | + | 0.508560i | ||||
\(501\) | −37.4070 | + | 10.6892i | −1.67122 | + | 0.477560i | ||||
\(502\) | 4.37115 | + | 13.6678i | 0.195094 | + | 0.610024i | ||||
\(503\) | −3.07284 | −0.137011 | −0.0685056 | − | 0.997651i | \(-0.521823\pi\) | ||||
−0.0685056 | + | 0.997651i | \(0.521823\pi\) | |||||||
\(504\) | −17.3797 | + | 14.2108i | −0.774153 | + | 0.632999i | ||||
\(505\) | −27.6354 | −1.22976 | ||||||||
\(506\) | 0.916198 | + | 2.86479i | 0.0407300 | + | 0.127355i | ||||
\(507\) | 11.1889 | − | 3.19729i | 0.496918 | − | 0.141997i | ||||
\(508\) | 12.7153 | + | 17.8460i | 0.564150 | + | 0.791788i | ||||
\(509\) | 14.6238 | − | 8.44307i | 0.648190 | − | 0.374233i | −0.139572 | − | 0.990212i | \(-0.544573\pi\) |
0.787762 | + | 0.615979i | \(0.211239\pi\) | |||||||
\(510\) | −2.44738 | − | 3.67212i | −0.108372 | − | 0.162604i | ||||
\(511\) | −1.96647 | − | 7.78758i | −0.0869913 | − | 0.344502i | ||||
\(512\) | 7.88187 | − | 21.2103i | 0.348333 | − | 0.937371i | ||||
\(513\) | −3.21635 | + | 14.9301i | −0.142005 | + | 0.659179i | ||||
\(514\) | −12.5397 | − | 11.3962i | −0.553101 | − | 0.502667i | ||||
\(515\) | −9.98586 | + | 17.2960i | −0.440029 | + | 0.762153i | ||||
\(516\) | −1.43674 | − | 1.14621i | −0.0632487 | − | 0.0504592i | ||||
\(517\) | −2.12679 | −0.0935360 | ||||||||
\(518\) | 1.18515 | + | 35.6011i | 0.0520723 | + | 1.56422i | ||||
\(519\) | 23.4004 | − | 24.1875i | 1.02716 | − | 1.06171i | ||||
\(520\) | −34.0191 | − | 4.05360i | −1.49184 | − | 0.177762i | ||||
\(521\) | 27.3170 | + | 15.7715i | 1.19678 | + | 0.690961i | 0.959836 | − | 0.280562i | \(-0.0905208\pi\) |
0.236944 | + | 0.971523i | \(0.423854\pi\) | |||||||
\(522\) | −5.68095 | + | 6.68220i | −0.248648 | + | 0.292472i | ||||
\(523\) | 29.0382 | − | 16.7652i | 1.26975 | − | 0.733092i | 0.294812 | − | 0.955555i | \(-0.404743\pi\) |
0.974941 | + | 0.222463i | \(0.0714098\pi\) | |||||||
\(524\) | −40.3117 | − | 18.3967i | −1.76103 | − | 0.803662i | ||||
\(525\) | −5.61215 | − | 9.67398i | −0.244934 | − | 0.422207i | ||||
\(526\) | 19.9606 | + | 4.33936i | 0.870325 | + | 0.189205i | ||||
\(527\) | −1.02503 | − | 1.77541i | −0.0446512 | − | 0.0773381i | ||||
\(528\) | −11.8397 | − | 7.72188i | −0.515255 | − | 0.336052i | ||||
\(529\) | 10.9567 | − | 18.9775i | 0.476378 | − | 0.825110i | ||||
\(530\) | 12.4401 | + | 38.8982i | 0.540366 | + | 1.68963i | ||||
\(531\) | −0.345998 | − | 10.4568i | −0.0150150 | − | 0.453785i | ||||
\(532\) | −5.22787 | − | 14.6479i | −0.226657 | − | 0.635067i | ||||
\(533\) | − | 34.8978i | − | 1.51159i | ||||||
\(534\) | 1.18836 | + | 0.587773i | 0.0514252 | + | 0.0254354i | ||||
\(535\) | 41.4030 | + | 23.9040i | 1.79001 | + | 1.03346i | ||||
\(536\) | −5.31000 | − | 12.3863i | −0.229357 | − | 0.535005i | ||||
\(537\) | 2.11698 | − | 8.45777i | 0.0913545 | − | 0.364980i | ||||
\(538\) | −1.97420 | + | 9.08112i | −0.0851139 | + | 0.391515i | ||||
\(539\) | −12.1567 | − | 7.49544i | −0.523627 | − | 0.322851i | ||||
\(540\) | −11.2185 | − | 26.0332i | −0.482765 | − | 1.12029i | ||||
\(541\) | 11.8396 | + | 20.5067i | 0.509023 | + | 0.881653i | 0.999945 | + | 0.0104499i | \(0.00332638\pi\) |
−0.490923 | + | 0.871203i | \(0.663340\pi\) | |||||||
\(542\) | −0.0171072 | − | 0.0155472i | −0.000734815 | − | 0.000667811i | ||||
\(543\) | 9.52353 | − | 2.72140i | 0.408694 | − | 0.116786i | ||||
\(544\) | 3.19154 | + | 1.94241i | 0.136836 | + | 0.0832802i | ||||
\(545\) | − | 1.74295i | − | 0.0746599i | ||||||
\(546\) | −28.1339 | − | 6.05490i | −1.20402 | − | 0.259126i | ||||
\(547\) | 10.9063i | 0.466318i | 0.972439 | + | 0.233159i | \(0.0749063\pi\) | ||||
−0.972439 | + | 0.233159i | \(0.925094\pi\) | |||||||
\(548\) | −28.8764 | + | 2.76518i | −1.23354 | + | 0.118123i | ||||
\(549\) | 0.525076 | + | 0.280422i | 0.0224097 | + | 0.0119681i | ||||
\(550\) | 4.73606 | − | 5.21125i | 0.201946 | − | 0.222208i | ||||
\(551\) | −3.03808 | − | 5.26210i | −0.129426 | − | 0.224173i | ||||
\(552\) | −0.812293 | − | 5.04176i | −0.0345735 | − | 0.214592i | ||||
\(553\) | 7.87538 | − | 27.7786i | 0.334895 | − | 1.18127i | ||||
\(554\) | 25.3084 | + | 5.50196i | 1.07525 | + | 0.233756i | ||||
\(555\) | −43.6323 | − | 10.9212i | −1.85209 | − | 0.463578i | ||||
\(556\) | 6.71106 | + | 9.41902i | 0.284612 | + | 0.399455i | ||||
\(557\) | −9.47804 | − | 5.47215i | −0.401597 | − | 0.231862i | 0.285576 | − | 0.958356i | \(-0.407815\pi\) |
−0.687173 | + | 0.726494i | \(0.741149\pi\) | |||||||
\(558\) | −4.42409 | − | 12.4037i | −0.187287 | − | 0.525089i | ||||
\(559\) | − | 2.35601i | − | 0.0996485i | ||||||
\(560\) | 23.6792 | + | 16.5117i | 1.00063 | + | 0.697749i | ||||
\(561\) | 1.62284 | − | 1.67743i | 0.0685164 | − | 0.0708210i | ||||
\(562\) | −2.17124 | + | 0.694390i | −0.0915881 | + | 0.0292911i | ||||
\(563\) | 14.1475 | − | 24.5041i | 0.596245 | − | 1.03273i | −0.397125 | − | 0.917765i | \(-0.629992\pi\) |
0.993370 | − | 0.114962i | \(-0.0366746\pi\) | |||||||
\(564\) | 3.57060 | + | 0.538888i | 0.150349 | + | 0.0226913i | ||||
\(565\) | 14.7185 | + | 25.4932i | 0.619212 | + | 1.07251i | ||||
\(566\) | 6.18114 | − | 28.4326i | 0.259813 | − | 1.19511i | ||||
\(567\) | −7.34320 | − | 22.6512i | −0.308385 | − | 0.951261i | ||||
\(568\) | −12.5201 | − | 9.36455i | −0.525331 | − | 0.392928i | ||||
\(569\) | −0.823967 | + | 0.475718i | −0.0345425 | + | 0.0199431i | −0.517172 | − | 0.855882i | \(-0.673015\pi\) |
0.482629 | + | 0.875825i | \(0.339682\pi\) | |||||||
\(570\) | 19.5980 | − | 1.26134i | 0.820870 | − | 0.0528319i | ||||
\(571\) | −14.1886 | − | 8.19177i | −0.593773 | − | 0.342815i | 0.172815 | − | 0.984954i | \(-0.444714\pi\) |
−0.766588 | + | 0.642139i | \(0.778047\pi\) | |||||||
\(572\) | −1.72722 | − | 18.0371i | −0.0722187 | − | 0.754170i | ||||
\(573\) | 12.2181 | + | 11.8205i | 0.510419 | + | 0.493809i | ||||
\(574\) | −13.8472 | + | 25.9408i | −0.577972 | + | 1.08275i | ||||
\(575\) | 2.54407 | 0.106095 | ||||||||
\(576\) | 17.9207 | + | 15.9640i | 0.746695 | + | 0.665167i | ||||
\(577\) | 4.98426 | − | 8.63299i | 0.207497 | − | 0.359396i | −0.743428 | − | 0.668816i | \(-0.766801\pi\) |
0.950926 | + | 0.309420i | \(0.100135\pi\) | |||||||
\(578\) | 15.7546 | − | 17.3353i | 0.655303 | − | 0.721052i | ||||
\(579\) | −7.21639 | + | 28.8309i | −0.299903 | + | 1.19817i | ||||
\(580\) | 10.2600 | + | 4.68228i | 0.426025 | + | 0.194421i | ||||
\(581\) | −17.3805 | + | 16.8851i | −0.721064 | + | 0.700511i | ||||
\(582\) | −9.39639 | − | 14.0986i | −0.389493 | − | 0.584406i | ||||
\(583\) | −18.7056 | + | 10.7997i | −0.774706 | + | 0.447276i | ||||
\(584\) | −7.89195 | + | 3.38329i | −0.326571 | + | 0.140002i | ||||
\(585\) | 17.1183 | − | 32.0533i | 0.707756 | − | 1.32524i | ||||
\(586\) | 15.7024 | − | 5.02184i | 0.648661 | − | 0.207450i | ||||
\(587\) | 29.5354 | 1.21905 | 0.609527 | − | 0.792765i | \(-0.291359\pi\) | ||||
0.609527 | + | 0.792765i | \(0.291359\pi\) | |||||||
\(588\) | 18.5104 | + | 15.6642i | 0.763355 | + | 0.645979i | ||||
\(589\) | 9.12323 | 0.375916 | ||||||||
\(590\) | −12.8140 | + | 4.09809i | −0.527544 | + | 0.168716i | ||||
\(591\) | 5.24919 | + | 18.3695i | 0.215923 | + | 0.755622i | ||||
\(592\) | 37.3883 | − | 7.22681i | 1.53665 | − | 0.297020i | ||||
\(593\) | −18.2436 | + | 10.5329i | −0.749174 | + | 0.432536i | −0.825395 | − | 0.564555i | \(-0.809048\pi\) |
0.0762215 | + | 0.997091i | \(0.475714\pi\) | |||||||
\(594\) | 12.1940 | − | 8.72283i | 0.500324 | − | 0.357902i | ||||
\(595\) | −3.41882 | + | 3.32137i | −0.140158 | + | 0.136163i | ||||
\(596\) | 11.5049 | − | 25.2101i | 0.471259 | − | 1.03265i | ||||
\(597\) | 37.4758 | + | 9.38021i | 1.53378 | + | 0.383906i | ||||
\(598\) | 4.40276 | − | 4.84450i | 0.180042 | − | 0.198107i | ||||
\(599\) | −19.8683 | + | 34.4129i | −0.811796 | + | 1.40607i | 0.0998091 | + | 0.995007i | \(0.468177\pi\) |
−0.911606 | + | 0.411066i | \(0.865157\pi\) | |||||||
\(600\) | −9.27167 | + | 7.54898i | −0.378514 | + | 0.308186i | ||||
\(601\) | −36.5567 | −1.49118 | −0.745589 | − | 0.666406i | \(-0.767832\pi\) | ||||
−0.745589 | + | 0.666406i | \(0.767832\pi\) | |||||||
\(602\) | −0.934849 | + | 1.75131i | −0.0381016 | + | 0.0713779i | ||||
\(603\) | 14.2861 | − | 0.472706i | 0.581777 | − | 0.0192501i | ||||
\(604\) | 23.4392 | − | 2.24452i | 0.953727 | − | 0.0913281i | ||||
\(605\) | −16.1519 | − | 9.32531i | −0.656669 | − | 0.379128i | ||||
\(606\) | 1.59391 | + | 24.7652i | 0.0647481 | + | 1.00602i | ||||
\(607\) | −11.4085 | + | 6.58667i | −0.463055 | + | 0.267345i | −0.713328 | − | 0.700830i | \(-0.752813\pi\) |
0.250273 | + | 0.968175i | \(0.419480\pi\) | |||||||
\(608\) | −14.5876 | + | 7.97812i | −0.591604 | + | 0.323555i | ||||
\(609\) | 8.21407 | + | 4.71963i | 0.332851 | + | 0.191249i | ||||
\(610\) | 0.162604 | − | 0.747963i | 0.00658365 | − | 0.0302841i | ||||
\(611\) | 2.31445 | + | 4.00875i | 0.0936327 | + | 0.162177i | ||||
\(612\) | −3.14957 | + | 2.40499i | −0.127314 | + | 0.0972158i | ||||
\(613\) | 9.50394 | − | 16.4613i | 0.383861 | − | 0.664866i | −0.607750 | − | 0.794129i | \(-0.707928\pi\) |
0.991610 | + | 0.129262i | \(0.0412609\pi\) | |||||||
\(614\) | 4.93055 | − | 1.57686i | 0.198981 | − | 0.0636367i | ||||
\(615\) | −26.6855 | − | 25.8171i | −1.07606 | − | 1.04104i | ||||
\(616\) | −5.87311 | + | 14.0930i | −0.236634 | + | 0.567823i | ||||
\(617\) | 41.6979i | 1.67869i | 0.543596 | + | 0.839347i | \(0.317062\pi\) | ||||
−0.543596 | + | 0.839347i | \(0.682938\pi\) | |||||||
\(618\) | 16.0756 | + | 7.95115i | 0.646655 | + | 0.319842i | ||||
\(619\) | 11.6140 | + | 6.70535i | 0.466806 | + | 0.269511i | 0.714902 | − | 0.699225i | \(-0.246471\pi\) |
−0.248096 | + | 0.968736i | \(0.579805\pi\) | |||||||
\(620\) | −13.7911 | + | 9.82617i | −0.553864 | + | 0.394629i | ||||
\(621\) | 5.29508 | + | 1.14071i | 0.212484 | + | 0.0457750i | ||||
\(622\) | 16.2342 | + | 3.52926i | 0.650934 | + | 0.141511i | ||||
\(623\) | 0.390585 | − | 1.37770i | 0.0156484 | − | 0.0551963i | ||||
\(624\) | −1.67049 | + | 30.7197i | −0.0668731 | + | 1.22977i | ||||
\(625\) | 15.6232 | + | 27.0602i | 0.624929 | + | 1.08241i | ||||
\(626\) | −14.1091 | + | 15.5248i | −0.563914 | + | 0.620494i | ||||
\(627\) | 2.85380 | + | 9.98688i | 0.113970 | + | 0.398837i | ||||
\(628\) | 2.03661 | + | 21.2681i | 0.0812697 | + | 0.848689i | ||||
\(629\) | 6.28769i | 0.250707i | ||||||||
\(630\) | −25.4432 | + | 17.0339i | −1.01368 | + | 0.678646i | ||||
\(631\) | 10.7225i | 0.426856i | 0.976959 | + | 0.213428i | \(0.0684629\pi\) | ||||
−0.976959 | + | 0.213428i | \(0.931537\pi\) | |||||||
\(632\) | −30.6501 | − | 3.65216i | −1.21920 | − | 0.145275i | ||||
\(633\) | 8.54934 | + | 29.9184i | 0.339806 | + | 1.18915i | ||||
\(634\) | 8.68914 | + | 7.89682i | 0.345090 | + | 0.313623i | ||||
\(635\) | 14.9429 | + | 25.8818i | 0.592990 | + | 1.02709i | ||||
\(636\) | 34.1407 | − | 13.3916i | 1.35377 | − | 0.531012i | ||||
\(637\) | −0.898621 | + | 31.0709i | −0.0356047 | + | 1.23107i | ||||
\(638\) | −1.26713 | + | 5.82864i | −0.0501660 | + | 0.230758i | ||||
\(639\) | 14.0794 | − | 8.76201i | 0.556973 | − | 0.346620i | ||||
\(640\) | 13.4584 | − | 27.7716i | 0.531990 | − | 1.09777i | ||||
\(641\) | −20.7630 | − | 11.9875i | −0.820089 | − | 0.473479i | 0.0303581 | − | 0.999539i | \(-0.490335\pi\) |
−0.850447 | + | 0.526060i | \(0.823669\pi\) | |||||||
\(642\) | 19.0334 | − | 38.4815i | 0.751187 | − | 1.51875i | ||||
\(643\) | − | 24.5118i | − | 0.966649i | −0.875441 | − | 0.483325i | \(-0.839429\pi\) | ||
0.875441 | − | 0.483325i | \(-0.160571\pi\) | |||||||
\(644\) | −5.19500 | + | 1.85411i | −0.204712 | + | 0.0730621i | ||||
\(645\) | −1.80158 | − | 1.74295i | −0.0709371 | − | 0.0686287i | ||||
\(646\) | −0.836271 | − | 2.61487i | −0.0329026 | − | 0.102881i | ||||
\(647\) | −21.2165 | + | 36.7481i | −0.834108 | + | 1.44472i | 0.0606458 | + | 0.998159i | \(0.480684\pi\) |
−0.894754 | + | 0.446559i | \(0.852649\pi\) | |||||||
\(648\) | −22.6823 | + | 11.5548i | −0.891045 | + | 0.453915i | ||||
\(649\) | −3.55767 | − | 6.16207i | −0.139651 | − | 0.241882i | ||||
\(650\) | −14.9766 | − | 3.25585i | −0.587430 | − | 0.127705i | ||||
\(651\) | −12.3037 | + | 7.13772i | −0.482219 | + | 0.279749i | ||||
\(652\) | 17.0043 | − | 37.2608i | 0.665941 | − | 1.45924i | ||||
\(653\) | 18.5142 | − | 10.6892i | 0.724517 | − | 0.418300i | −0.0918961 | − | 0.995769i | \(-0.529293\pi\) |
0.816413 | + | 0.577469i | \(0.195959\pi\) | |||||||
\(654\) | −1.56193 | + | 0.100527i | −0.0610762 | + | 0.00393092i | ||||
\(655\) | −52.3378 | − | 30.2173i | −2.04501 | − | 1.18069i | ||||
\(656\) | 29.7122 | + | 10.2656i | 1.16006 | + | 0.400805i | ||||
\(657\) | −0.301187 | − | 9.10247i | −0.0117504 | − | 0.355121i | ||||
\(658\) | −0.129770 | − | 3.89821i | −0.00505894 | − | 0.151968i | ||||
\(659\) | 0.835578 | 0.0325495 | 0.0162748 | − | 0.999868i | \(-0.494819\pi\) | ||||
0.0162748 | + | 0.999868i | \(0.494819\pi\) | |||||||
\(660\) | −15.0703 | − | 12.0229i | −0.586611 | − | 0.467992i | ||||
\(661\) | −9.00217 | + | 15.5922i | −0.350144 | + | 0.606467i | −0.986274 | − | 0.165115i | \(-0.947201\pi\) |
0.636131 | + | 0.771581i | \(0.280534\pi\) | |||||||
\(662\) | −15.9800 | − | 14.5229i | −0.621080 | − | 0.564447i | ||||
\(663\) | −4.92780 | − | 1.23343i | −0.191380 | − | 0.0479024i | ||||
\(664\) | 20.7443 | + | 15.5160i | 0.805035 | + | 0.602136i | ||||
\(665\) | −5.19331 | − | 20.5665i | −0.201388 | − | 0.797534i | ||||
\(666\) | −7.27035 | + | 39.7305i | −0.281720 | + | 1.53953i | ||||
\(667\) | −1.86625 | + | 1.07748i | −0.0722614 | + | 0.0417202i | ||||
\(668\) | 36.5860 | − | 26.0676i | 1.41555 | − | 1.00858i | ||||
\(669\) | −0.931567 | − | 3.26002i | −0.0360164 | − | 0.126039i | ||||
\(670\) | −5.59886 | − | 17.5066i | −0.216303 | − | 0.676341i | ||||
\(671\) | 0.404830 | 0.0156283 | ||||||||
\(672\) | 13.4311 | − | 22.1722i | 0.518116 | − | 0.855310i | ||||
\(673\) | 3.35747 | 0.129421 | 0.0647105 | − | 0.997904i | \(-0.479388\pi\) | ||||
0.0647105 | + | 0.997904i | \(0.479388\pi\) | |||||||
\(674\) | −7.30646 | − | 22.8460i | −0.281434 | − | 0.879996i | ||||
\(675\) | −3.88567 | − | 12.0715i | −0.149559 | − | 0.464633i | ||||
\(676\) | −10.9434 | + | 7.79716i | −0.420899 | + | 0.299891i | ||||
\(677\) | −31.9197 | + | 18.4288i | −1.22677 | + | 0.708278i | −0.966354 | − | 0.257217i | \(-0.917194\pi\) |
−0.260420 | + | 0.965495i | \(0.583861\pi\) | |||||||
\(678\) | 21.9965 | − | 14.6602i | 0.844772 | − | 0.563021i | ||||
\(679\) | −13.1261 | + | 12.7520i | −0.503733 | + | 0.489375i | ||||
\(680\) | 4.08049 | + | 3.05206i | 0.156480 | + | 0.117041i | ||||
\(681\) | 7.63912 | − | 30.5198i | 0.292732 | − | 1.16952i | ||||
\(682\) | −6.62783 | − | 6.02347i | −0.253793 | − | 0.230651i | ||||
\(683\) | −2.19316 | + | 3.79867i | −0.0839191 | + | 0.145352i | −0.904930 | − | 0.425560i | \(-0.860077\pi\) |
0.821011 | + | 0.570912i | \(0.193410\pi\) | |||||||
\(684\) | −2.26068 | − | 17.4898i | −0.0864392 | − | 0.668738i | ||||
\(685\) | −39.5638 | −1.51165 | ||||||||
\(686\) | 12.9967 | − | 22.7395i | 0.496216 | − | 0.868199i | ||||
\(687\) | 12.2557 | + | 11.8569i | 0.467585 | + | 0.452369i | ||||
\(688\) | 2.00592 | + | 0.693049i | 0.0764748 | + | 0.0264222i | ||||
\(689\) | 40.7123 | + | 23.5052i | 1.55101 | + | 0.895478i | ||||
\(690\) | −0.447346 | − | 6.95059i | −0.0170302 | − | 0.264605i | ||||
\(691\) | 34.8657 | − | 20.1297i | 1.32635 | − | 0.765771i | 0.341620 | − | 0.939838i | \(-0.389024\pi\) |
0.984734 | + | 0.174067i | \(0.0556910\pi\) | |||||||
\(692\) | −16.1338 | + | 35.3532i | −0.613315 | + | 1.34393i | ||||
\(693\) | −11.6621 | − | 11.2357i | −0.443005 | − | 0.426808i | ||||
\(694\) | −30.4807 | − | 6.62639i | −1.15703 | − | 0.251534i | ||||
\(695\) | 7.88678 | + | 13.6603i | 0.299163 | + | 0.518165i | ||||
\(696\) | 3.60421 | − | 9.46448i | 0.136617 | − | 0.358750i | ||||
\(697\) | −2.59527 | + | 4.49513i | −0.0983027 | + | 0.170265i | ||||
\(698\) | −7.61412 | − | 23.8080i | −0.288199 | − | 0.901147i | ||||
\(699\) | −31.5614 | + | 32.6229i | −1.19376 | + | 1.23391i | ||||
\(700\) | 9.84072 | + | 8.36280i | 0.371944 | + | 0.316084i | ||||
\(701\) | 25.7395i | 0.972168i | 0.873912 | + | 0.486084i | \(0.161575\pi\) | ||||
−0.873912 | + | 0.486084i | \(0.838425\pi\) | |||||||
\(702\) | −29.7115 | − | 13.4917i | −1.12139 | − | 0.509211i | ||||
\(703\) | −24.2327 | − | 13.9908i | −0.913954 | − | 0.527672i | ||||
\(704\) | 15.8650 | + | 3.83528i | 0.597934 | + | 0.144548i | ||||
\(705\) | 4.77760 | + | 1.19583i | 0.179935 | + | 0.0450377i | ||||
\(706\) | −0.126786 | + | 0.583205i | −0.00477167 | + | 0.0219492i | ||||
\(707\) | 25.9890 | − | 6.56257i | 0.977418 | − | 0.246811i | ||||
\(708\) | 4.41152 | + | 11.2468i | 0.165795 | + | 0.422679i | ||||
\(709\) | −7.50394 | − | 12.9972i | −0.281817 | − | 0.488121i | 0.690016 | − | 0.723794i | \(-0.257604\pi\) |
−0.971832 | + | 0.235674i | \(0.924270\pi\) | |||||||
\(710\) | −15.7805 | − | 14.3416i | −0.592232 | − | 0.538230i | ||||
\(711\) | 15.4231 | − | 28.8789i | 0.578410 | − | 1.08305i | ||||
\(712\) | −1.52011 | − | 0.181131i | −0.0569687 | − | 0.00678818i | ||||
\(713\) | − | 3.23563i | − | 0.121175i | ||||||
\(714\) | 3.17359 | + | 2.87217i | 0.118769 | + | 0.107488i | ||||
\(715\) | − | 24.7128i | − | 0.924207i | ||||||
\(716\) | 0.959663 | + | 10.0216i | 0.0358643 | + | 0.374526i | ||||
\(717\) | −28.2011 | + | 8.05862i | −1.05319 | + | 0.300955i | ||||
\(718\) | −13.7383 | + | 15.1167i | −0.512709 | + | 0.564151i | ||||
\(719\) | −19.2753 | − | 33.3858i | −0.718847 | − | 1.24508i | −0.961457 | − | 0.274956i | \(-0.911337\pi\) |
0.242610 | − | 0.970124i | \(-0.421997\pi\) | |||||||
\(720\) | 22.2547 | + | 24.0035i | 0.829384 | + | 0.894557i | ||||
\(721\) | 5.28367 | − | 18.6369i | 0.196774 | − | 0.694076i | ||||
\(722\) | −14.3183 | − | 3.11274i | −0.532871 | − | 0.115844i | ||||
\(723\) | −2.45497 | + | 9.80809i | −0.0913012 | + | 0.364767i | ||||
\(724\) | −9.31452 | + | 6.63661i | −0.346172 | + | 0.246648i | ||||
\(725\) | 4.36934 | + | 2.52264i | 0.162273 | + | 0.0936885i | ||||
\(726\) | −7.42519 | + | 15.0122i | −0.275575 | + | 0.557155i | ||||
\(727\) | 50.3452i | 1.86720i | 0.358318 | + | 0.933600i | \(0.383350\pi\) | ||||
−0.358318 | + | 0.933600i | \(0.616650\pi\) | |||||||
\(728\) | 32.9550 | − | 4.26640i | 1.22139 | − | 0.158123i | ||||
\(729\) | −2.67479 | − | 26.8672i | −0.0990664 | − | 0.995081i | ||||
\(730\) | −11.1544 | + | 3.56733i | −0.412844 | + | 0.132033i | ||||
\(731\) | −0.175211 | + | 0.303474i | −0.00648040 | + | 0.0112244i | ||||
\(732\) | −0.679657 | − | 0.102576i | −0.0251208 | − | 0.00379133i | ||||
\(733\) | 6.27578 | + | 10.8700i | 0.231801 | + | 0.401491i | 0.958338 | − | 0.285636i | \(-0.0922048\pi\) |
−0.726537 | + | 0.687127i | \(0.758871\pi\) | |||||||
\(734\) | 6.54943 | − | 30.1267i | 0.241744 | − | 1.11200i | ||||
\(735\) | 23.0943 | + | 23.6731i | 0.851846 | + | 0.873195i | ||||
\(736\) | 2.82951 | + | 5.17360i | 0.104297 | + | 0.190701i | ||||
\(737\) | 8.41869 | − | 4.86053i | 0.310107 | − | 0.179040i | ||||
\(738\) | −21.5966 | + | 25.4029i | −0.794981 | + | 0.935094i | ||||
\(739\) | 5.42182 | + | 3.13029i | 0.199445 | + | 0.115150i | 0.596397 | − | 0.802690i | \(-0.296599\pi\) |
−0.396952 | + | 0.917840i | \(0.629932\pi\) | |||||||
\(740\) | 51.7000 | − | 4.95075i | 1.90053 | − | 0.181993i | ||||
\(741\) | 15.7185 | − | 16.2472i | 0.577433 | − | 0.596856i | ||||
\(742\) | −20.9362 | − | 33.6267i | −0.768591 | − | 1.23447i | ||||
\(743\) | −34.2633 | −1.25700 | −0.628498 | − | 0.777811i | \(-0.716330\pi\) | ||||
−0.628498 | + | 0.777811i | \(0.716330\pi\) | |||||||
\(744\) | 9.60104 | + | 11.7920i | 0.351991 | + | 0.432316i | ||||
\(745\) | 18.8972 | − | 32.7310i | 0.692341 | − | 1.19917i | ||||
\(746\) | 18.5664 | − | 20.4293i | 0.679765 | − | 0.747968i | ||||
\(747\) | −23.3280 | + | 14.5176i | −0.853525 | + | 0.531172i | ||||
\(748\) | −1.11890 | + | 2.45178i | −0.0409109 | + | 0.0896461i | ||||
\(749\) | −44.6129 | − | 12.6480i | −1.63012 | − | 0.462147i | ||||
\(750\) | 14.2302 | − | 9.48412i | 0.519615 | − | 0.346311i | ||||
\(751\) | 25.1285 | − | 14.5079i | 0.916952 | − | 0.529402i | 0.0342903 | − | 0.999412i | \(-0.489083\pi\) |
0.882661 | + | 0.470010i | \(0.155750\pi\) | |||||||
\(752\) | −4.09389 | + | 0.791312i | −0.149289 | + | 0.0288562i | ||||
\(753\) | 16.8984 | − | 4.82881i | 0.615813 | − | 0.175972i | ||||
\(754\) | 12.3653 | − | 3.95457i | 0.450316 | − | 0.144017i | ||||
\(755\) | 32.1142 | 1.16876 | ||||||||
\(756\) | 16.7322 | + | 21.8182i | 0.608544 | + | 0.793520i | ||||
\(757\) | −10.5717 | −0.384234 | −0.192117 | − | 0.981372i | \(-0.561535\pi\) | ||||
−0.192117 | + | 0.981372i | \(0.561535\pi\) | |||||||
\(758\) | 45.9512 | − | 14.6958i | 1.66902 | − | 0.533776i | ||||
\(759\) | 3.54193 | − | 1.01213i | 0.128564 | − | 0.0367378i | ||||
\(760\) | −20.8421 | + | 8.93505i | −0.756024 | + | 0.324108i | ||||
\(761\) | 33.6645 | − | 19.4362i | 1.22034 | − | 0.704563i | 0.255348 | − | 0.966849i | \(-0.417810\pi\) |
0.964990 | + | 0.262287i | \(0.0844766\pi\) | |||||||
\(762\) | 22.3319 | − | 14.8837i | 0.808999 | − | 0.539179i | ||||
\(763\) | 0.413898 | + | 1.63912i | 0.0149841 | + | 0.0593400i | ||||
\(764\) | −17.8584 | − | 8.14986i | −0.646094 | − | 0.294852i | ||||
\(765\) | −4.58871 | + | 2.85568i | −0.165905 | + | 0.103247i | ||||
\(766\) | −7.81403 | + | 8.59804i | −0.282332 | + | 0.310660i | ||||
\(767\) | −7.74320 | + | 13.4116i | −0.279591 | + | 0.484265i | ||||
\(768\) | −25.6635 | − | 10.4588i | −0.926050 | − | 0.377400i | ||||
\(769\) | 25.5953 | 0.922989 | 0.461494 | − | 0.887143i | \(-0.347313\pi\) | ||||
0.461494 | + | 0.887143i | \(0.347313\pi\) | |||||||
\(770\) | −9.80588 | + | 18.3699i | −0.353379 | + | 0.662006i | ||||
\(771\) | −14.4297 | + | 14.9151i | −0.519674 | + | 0.537154i | ||||
\(772\) | −3.27131 | − | 34.1618i | −0.117737 | − | 1.22951i | ||||
\(773\) | −24.6534 | − | 14.2336i | −0.886720 | − | 0.511948i | −0.0138518 | − | 0.999904i | \(-0.504409\pi\) |
−0.872868 | + | 0.487956i | \(0.837743\pi\) | |||||||
\(774\) | −1.45802 | + | 1.71499i | −0.0524074 | + | 0.0616441i | ||||
\(775\) | −6.56049 | + | 3.78770i | −0.235660 | + | 0.136058i | ||||
\(776\) | 15.6665 | + | 11.7180i | 0.562395 | + | 0.420651i | ||||
\(777\) | 43.6264 | − | 0.0908036i | 1.56509 | − | 0.00325756i | ||||
\(778\) | −1.44055 | + | 6.62639i | −0.0516463 | + | 0.237568i | ||||
\(779\) | −11.5495 | − | 20.0043i | −0.413803 | − | 0.716728i | ||||
\(780\) | −6.26176 | + | 41.4896i | −0.224207 | + | 1.48557i | ||||
\(781\) | 5.63897 | − | 9.76699i | 0.201778 | − | 0.349490i | ||||
\(782\) | −0.927386 | + | 0.296590i | −0.0331633 | + | 0.0106061i | ||||
\(783\) | 7.96299 | + | 7.20959i | 0.284574 | + | 0.257650i | ||||
\(784\) | −26.1895 | − | 9.90497i | −0.935340 | − | 0.353749i | ||||
\(785\) | 29.1395i | 1.04004i | ||||||||
\(786\) | −24.0602 | + | 48.6448i | −0.858199 | + | 1.73510i | ||||
\(787\) | −27.6598 | − | 15.9694i | −0.985964 | − | 0.569247i | −0.0818987 | − | 0.996641i | \(-0.526098\pi\) |
−0.904065 | + | 0.427394i | \(0.859432\pi\) | |||||||
\(788\) | −12.8011 | − | 17.9664i | −0.456019 | − | 0.640026i | ||||
\(789\) | 6.07454 | − | 24.2690i | 0.216259 | − | 0.864000i | ||||
\(790\) | −41.1376 | − | 8.94315i | −1.46361 | − | 0.318183i | ||||
\(791\) | −19.8955 | − | 20.4792i | −0.707402 | − | 0.728158i | ||||
\(792\) | −9.90502 | + | 14.1985i | −0.351960 | + | 0.504523i | ||||
\(793\) | −0.440552 | − | 0.763058i | −0.0156444 | − | 0.0270970i | ||||
\(794\) | 9.89303 | − | 10.8856i | 0.351091 | − | 0.386317i | ||||
\(795\) | 48.0924 | − | 13.7427i | 1.70566 | − | 0.487402i | ||||
\(796\) | −44.4052 | + | 4.25221i | −1.57390 | + | 0.150715i | ||||
\(797\) | 37.7330i | 1.33657i | 0.743905 | + | 0.668285i | \(0.232971\pi\) | ||||
−0.743905 | + | 0.668285i | \(0.767029\pi\) | |||||||
\(798\) | −18.1309 | + | 5.84013i | −0.641827 | + | 0.206738i | ||||
\(799\) | − | 0.688481i | − | 0.0243567i | ||||||
\(800\) | 7.17759 | − | 11.7934i | 0.253766 | − | 0.416959i | ||||
\(801\) | 0.764918 | − | 1.43227i | 0.0270270 | − | 0.0506068i | ||||
\(802\) | 12.1104 | + | 11.0061i | 0.427632 | + | 0.388639i | ||||
\(803\) | −3.09691 | − | 5.36400i | −0.109288 | − | 0.189292i | ||||
\(804\) | −15.3655 | + | 6.02707i | −0.541898 | + | 0.212558i | ||||
\(805\) | −7.29408 | + | 1.84185i | −0.257083 | + | 0.0649167i | ||||
\(806\) | −4.14089 | + | 19.0477i | −0.145857 | + | 0.670926i | ||||
\(807\) | 11.0412 | + | 2.76362i | 0.388670 | + | 0.0972841i | ||||
\(808\) | −11.2909 | − | 26.3374i | −0.397211 | − | 0.926545i | ||||
\(809\) | 22.6957 | + | 13.1034i | 0.797938 | + | 0.460690i | 0.842750 | − | 0.538306i | \(-0.180935\pi\) |
−0.0448118 | + | 0.998995i | \(0.514269\pi\) | |||||||
\(810\) | −32.2970 | + | 12.7386i | −1.13480 | + | 0.447588i | ||||
\(811\) | − | 32.1734i | − | 1.12976i | −0.825172 | − | 0.564881i | \(-0.808922\pi\) | ||
0.825172 | − | 0.564881i | \(-0.191078\pi\) | |||||||
\(812\) | −10.7607 | − | 1.96688i | −0.377626 | − | 0.0690240i | ||||
\(813\) | −0.0196857 | + | 0.0203478i | −0.000690406 | + | 0.000713628i | ||||
\(814\) | 8.36736 | + | 26.1633i | 0.293276 | + | 0.917022i | ||||
\(815\) | 27.9303 | − | 48.3767i | 0.978355 | − | 1.69456i | ||||
\(816\) | 2.49972 | − | 3.83272i | 0.0875077 | − | 0.134172i | ||||
\(817\) | −0.779724 | − | 1.35052i | −0.0272791 | − | 0.0472488i | ||||
\(818\) | −28.2426 | − | 6.13983i | −0.987479 | − | 0.214674i | ||||
\(819\) | −8.48684 | + | 34.2088i | −0.296554 | + | 1.19535i | ||||
\(820\) | 39.0043 | + | 17.8000i | 1.36209 | + | 0.621604i | ||||
\(821\) | −19.3857 | + | 11.1923i | −0.676565 | + | 0.390615i | −0.798560 | − | 0.601916i | \(-0.794404\pi\) |
0.121994 | + | 0.992531i | \(0.461071\pi\) | |||||||
\(822\) | 2.28189 | + | 35.4547i | 0.0795901 | + | 1.23662i | ||||
\(823\) | 28.4876 | + | 16.4473i | 0.993014 | + | 0.573317i | 0.906174 | − | 0.422905i | \(-0.138990\pi\) |
0.0868401 | + | 0.996222i | \(0.472323\pi\) | |||||||
\(824\) | −20.5635 | − | 2.45027i | −0.716362 | − | 0.0853592i | ||||
\(825\) | −6.19842 | − | 5.99672i | −0.215801 | − | 0.208779i | ||||
\(826\) | 11.0774 | − | 6.89688i | 0.385433 | − | 0.239973i | ||||
\(827\) | 16.7455 | 0.582297 | 0.291148 | − | 0.956678i | \(-0.405963\pi\) | ||||
0.291148 | + | 0.956678i | \(0.405963\pi\) | |||||||
\(828\) | −6.20290 | + | 0.801769i | −0.215566 | + | 0.0278634i | ||||
\(829\) | 0.474201 | − | 0.821341i | 0.0164697 | − | 0.0285263i | −0.857673 | − | 0.514195i | \(-0.828091\pi\) |
0.874143 | + | 0.485669i | \(0.161424\pi\) | |||||||
\(830\) | 26.1465 | + | 23.7623i | 0.907557 | + | 0.824802i | ||||
\(831\) | 7.70201 | − | 30.7711i | 0.267180 | − | 1.06744i | ||||
\(832\) | −10.0358 | − | 34.0774i | −0.347929 | − | 1.18142i | ||||
\(833\) | 2.42641 | − | 3.93536i | 0.0840703 | − | 0.136352i | ||||
\(834\) | 11.7866 | − | 7.85553i | 0.408138 | − | 0.272015i | ||||
\(835\) | 53.0603 | − | 30.6344i | 1.83623 | − | 1.06015i | ||||
\(836\) | −6.95950 | − | 9.76770i | −0.240699 | − | 0.337823i | ||||
\(837\) | −15.3529 | + | 4.94191i | −0.530675 | + | 0.170818i | ||||
\(838\) | 9.43988 | + | 29.5169i | 0.326095 | + | 1.01964i | ||||
\(839\) | 35.5384 | 1.22692 | 0.613461 | − | 0.789725i | \(-0.289777\pi\) | ||||
0.613461 | + | 0.789725i | \(0.289777\pi\) | |||||||
\(840\) | 21.1174 | − | 28.3561i | 0.728620 | − | 0.978378i | ||||
\(841\) | 24.7264 | 0.852634 | ||||||||
\(842\) | 6.08074 | + | 19.0134i | 0.209556 | + | 0.655246i | ||||
\(843\) | 0.767094 | + | 2.68445i | 0.0264201 | + | 0.0924572i | ||||
\(844\) | −20.8491 | − | 29.2618i | −0.717654 | − | 1.00723i | ||||
\(845\) | −15.8710 | + | 9.16315i | −0.545980 | + | 0.315222i | ||||
\(846\) | 0.796079 | − | 4.35036i | 0.0273698 | − | 0.149568i | ||||
\(847\) | 17.4041 | + | 4.93416i | 0.598013 | + | 0.169540i | ||||
\(848\) | −31.9885 | + | 27.7482i | −1.09849 | + | 0.952879i | ||||
\(849\) | −34.5696 | − | 8.65278i | −1.18643 | − | 0.296963i | ||||
\(850\) | 1.68698 | + | 1.53315i | 0.0578629 | + | 0.0525867i | ||||
\(851\) | −4.96194 | + | 8.59434i | −0.170093 | + | 0.294610i | ||||
\(852\) | −11.9419 | + | 14.9687i | −0.409122 | + | 0.512819i | ||||
\(853\) | −35.8618 | −1.22788 | −0.613942 | − | 0.789351i | \(-0.710417\pi\) | ||||
−0.613942 | + | 0.789351i | \(0.710417\pi\) | |||||||
\(854\) | 0.0247014 | + | 0.742016i | 0.000845264 | + | 0.0253913i | ||||
\(855\) | −0.795415 | − | 24.0390i | −0.0272026 | − | 0.822118i | ||||
\(856\) | −5.86543 | + | 49.2246i | −0.200476 | + | 1.68246i | ||||
\(857\) | −32.9586 | − | 19.0286i | −1.12584 | − | 0.650006i | −0.182957 | − | 0.983121i | \(-0.558567\pi\) |
−0.942886 | + | 0.333115i | \(0.891900\pi\) | |||||||
\(858\) | −22.1461 | + | 1.42534i | −0.756056 | + | 0.0486604i | ||||
\(859\) | −18.6659 | + | 10.7768i | −0.636873 | + | 0.367699i | −0.783409 | − | 0.621507i | \(-0.786521\pi\) |
0.146536 | + | 0.989205i | \(0.453188\pi\) | |||||||
\(860\) | 2.63325 | + | 1.20171i | 0.0897929 | + | 0.0409779i | ||||
\(861\) | 31.2264 | + | 17.9420i | 1.06419 | + | 0.611463i | ||||
\(862\) | 40.2429 | + | 8.74866i | 1.37068 | + | 0.297980i | ||||
\(863\) | 16.2372 | + | 28.1237i | 0.552721 | + | 0.957341i | 0.998077 | + | 0.0619877i | \(0.0197439\pi\) |
−0.445356 | + | 0.895354i | \(0.646923\pi\) | |||||||
\(864\) | 20.2269 | − | 21.3277i | 0.688133 | − | 0.725585i | ||||
\(865\) | −26.5004 | + | 45.9000i | −0.901040 | + | 1.56065i | ||||
\(866\) | 11.2502 | + | 35.1775i | 0.382298 | + | 1.19538i | ||||
\(867\) | −20.6191 | − | 19.9482i | −0.700262 | − | 0.677475i | ||||
\(868\) | 10.6361 | − | 12.5157i | 0.361012 | − | 0.424812i | ||||
\(869\) | − | 22.2654i | − | 0.755303i | ||||||
\(870\) | 6.12374 | − | 12.3809i | 0.207614 | − | 0.419753i | ||||
\(871\) | −18.3231 | − | 10.5788i | −0.620855 | − | 0.358451i | ||||
\(872\) | 1.66108 | − | 0.712109i | 0.0562514 | − | 0.0241151i | ||||
\(873\) | −17.6177 | + | 10.9640i | −0.596270 | + | 0.371075i | ||||
\(874\) | 0.920475 | − | 4.23409i | 0.0311355 | − | 0.143220i | ||||
\(875\) | −12.8710 | − | 13.2486i | −0.435120 | − | 0.447886i | ||||
\(876\) | 3.84017 | + | 9.79017i | 0.129747 | + | 0.330779i | ||||
\(877\) | 14.0957 | + | 24.4144i | 0.475977 | + | 0.824416i | 0.999621 | − | 0.0275212i | \(-0.00876138\pi\) |
−0.523645 | + | 0.851937i | \(0.675428\pi\) | |||||||
\(878\) | −19.2395 | − | 17.4851i | −0.649301 | − | 0.590095i | ||||
\(879\) | −5.54764 | − | 19.4139i | −0.187117 | − | 0.654816i | ||||
\(880\) | 21.0406 | + | 7.26958i | 0.709278 | + | 0.245057i | ||||
\(881\) | 5.81314i | 0.195850i | 0.995194 | + | 0.0979249i | \(0.0312205\pi\) | ||||
−0.995194 | + | 0.0979249i | \(0.968780\pi\) | |||||||
\(882\) | 19.8824 | − | 22.0611i | 0.669475 | − | 0.742835i | ||||
\(883\) | 47.2938i | 1.59156i | 0.605583 | + | 0.795782i | \(0.292940\pi\) | ||||
−0.605583 | + | 0.795782i | \(0.707060\pi\) | |||||||
\(884\) | 5.83896 | − | 0.559134i | 0.196385 | − | 0.0188057i | ||||
\(885\) | 4.52716 | + | 15.8428i | 0.152179 | + | 0.532550i | ||||
\(886\) | 7.86485 | − | 8.65396i | 0.264225 | − | 0.290736i | ||||
\(887\) | 15.1948 | + | 26.3182i | 0.510192 | + | 0.883678i | 0.999930 | + | 0.0118084i | \(0.00375882\pi\) |
−0.489739 | + | 0.871869i | \(0.662908\pi\) | |||||||
\(888\) | −7.41843 | − | 46.0449i | −0.248946 | − | 1.54517i | ||||
\(889\) | −20.1988 | − | 20.7914i | −0.677446 | − | 0.697323i | ||||
\(890\) | −2.04025 | − | 0.443542i | −0.0683892 | − | 0.0148676i | ||||
\(891\) | −10.2122 | − | 15.2604i | −0.342123 | − | 0.511244i | ||||
\(892\) | 2.27179 | + | 3.18847i | 0.0760651 | + | 0.106758i | ||||
\(893\) | 2.65340 | + | 1.53194i | 0.0887927 | + | 0.0512645i | ||||
\(894\) | −30.4214 | − | 15.0467i | −1.01744 | − | 0.503239i | ||||
\(895\) | 13.7307i | 0.458967i | ||||||||
\(896\) | −6.06169 | + | 29.3131i | −0.202507 | + | 0.979281i | ||||
\(897\) | −5.76221 | − | 5.57470i | −0.192394 | − | 0.186134i | ||||
\(898\) | 32.4710 | − | 10.3847i | 1.08357 | − | 0.346540i | ||||
\(899\) | 3.20838 | − | 5.55707i | 0.107005 | − | 0.185339i | ||||
\(900\) | 8.88690 | + | 11.6383i | 0.296230 | + | 0.387943i | ||||
\(901\) | −3.49606 | − | 6.05535i | −0.116470 | − | 0.201733i | ||||
\(902\) | −4.81707 | + | 22.1580i | −0.160391 | + | 0.737782i | ||||
\(903\) | 2.10815 | + | 1.21130i | 0.0701547 | + | 0.0403094i | ||||
\(904\) | −18.2823 | + | 24.4428i | −0.608060 | + | 0.812954i | ||||
\(905\) | −13.5088 | + | 7.79928i | −0.449046 | + | 0.259257i | ||||
\(906\) | −1.85223 | − | 28.7788i | −0.0615362 | − | 0.956111i | ||||
\(907\) | 36.9772 | + | 21.3488i | 1.22781 | + | 0.708874i | 0.966571 | − | 0.256401i | \(-0.0825366\pi\) |
0.261236 | + | 0.965275i | \(0.415870\pi\) | |||||||
\(908\) | 3.46294 | + | 36.1630i | 0.114922 | + | 1.20011i | ||||
\(909\) | 30.3772 | − | 1.00513i | 1.00755 | − | 0.0333381i | ||||
\(910\) | 45.2963 | − | 1.50789i | 1.50156 | − | 0.0499862i | ||||
\(911\) | −42.4679 | −1.40702 | −0.703511 | − | 0.710684i | \(-0.748386\pi\) | ||||
−0.703511 | + | 0.710684i | \(0.748386\pi\) | |||||||
\(912\) | 9.20915 | + | 18.1621i | 0.304945 | + | 0.601408i | ||||
\(913\) | −9.34312 | + | 16.1828i | −0.309212 | + | 0.535571i | ||||
\(914\) | −17.7774 | + | 19.5611i | −0.588026 | + | 0.647024i | ||||
\(915\) | −0.909406 | − | 0.227625i | −0.0300640 | − | 0.00752504i | ||||
\(916\) | −17.9134 | − | 8.17495i | −0.591874 | − | 0.270108i | ||||
\(917\) | 56.3955 | + | 15.9884i | 1.86234 | + | 0.527984i | ||||
\(918\) | 2.82375 | + | 3.94742i | 0.0931975 | + | 0.130284i | ||||
\(919\) | −18.3769 | + | 10.6099i | −0.606199 | + | 0.349989i | −0.771476 | − | 0.636258i | \(-0.780481\pi\) |
0.165278 | + | 0.986247i | \(0.447148\pi\) | |||||||
\(920\) | 3.16889 | + | 7.39184i | 0.104475 | + | 0.243702i | ||||
\(921\) | −1.74196 | − | 6.09597i | −0.0573994 | − | 0.200869i | ||||
\(922\) | −22.0456 | + | 7.05049i | −0.726035 | + | 0.232195i | ||||
\(923\) | −24.5462 | −0.807948 | ||||||||
\(924\) | 17.0276 | + | 7.72793i | 0.560166 | + | 0.254230i | ||||
\(925\) | 23.2342 | 0.763937 | ||||||||
\(926\) | −15.3077 | + | 4.89560i | −0.503042 | + | 0.160879i | ||||
\(927\) | 10.3475 | − | 19.3752i | 0.339856 | − | 0.636364i | ||||
\(928\) | −0.270454 | + | 11.6911i | −0.00887809 | + | 0.383780i | ||||
\(929\) | −23.4266 | + | 13.5254i | −0.768603 | + | 0.443753i | −0.832376 | − | 0.554211i | \(-0.813020\pi\) |
0.0637729 | + | 0.997964i | \(0.479687\pi\) | |||||||
\(930\) | 11.5019 | + | 17.2577i | 0.377161 | + | 0.565903i | ||||
\(931\) | 9.76783 | + | 18.1080i | 0.320128 | + | 0.593465i | ||||
\(932\) | 21.7605 | − | 47.6828i | 0.712790 | − | 1.56190i | ||||
\(933\) | 4.94050 | − | 19.7383i | 0.161745 | − | 0.646203i | ||||
\(934\) | 34.5206 | − | 37.9841i | 1.12955 | − | 1.24288i | ||||
\(935\) | −1.83783 | + | 3.18322i | −0.0601035 | + | 0.104102i | ||||
\(936\) | 37.5416 | + | 3.21844i | 1.22709 | + | 0.105198i | ||||
\(937\) | 47.2071 | 1.54219 | 0.771094 | − | 0.636721i | \(-0.219710\pi\) | ||||
0.771094 | + | 0.636721i | \(0.219710\pi\) | |||||||
\(938\) | 9.42260 | + | 15.1341i | 0.307659 | + | 0.494147i | ||||
\(939\) | 18.4656 | + | 17.8647i | 0.602603 | + | 0.582994i | ||||
\(940\) | −5.66098 | + | 0.542091i | −0.184641 | + | 0.0176811i | ||||
\(941\) | −13.9134 | − | 8.03288i | −0.453563 | − | 0.261864i | 0.255771 | − | 0.966737i | \(-0.417671\pi\) |
−0.709334 | + | 0.704873i | \(0.751004\pi\) | |||||||
\(942\) | 26.1131 | − | 1.68066i | 0.850810 | − | 0.0547589i | ||||
\(943\) | −7.09469 | + | 4.09612i | −0.231035 | + | 0.133388i | ||||
\(944\) | −9.14094 | − | 10.5378i | −0.297512 | − | 0.342976i | ||||
\(945\) | 19.8801 | + | 31.7970i | 0.646698 | + | 1.03436i | ||||
\(946\) | −0.325209 | + | 1.49593i | −0.0105734 | + | 0.0486367i | ||||
\(947\) | 12.7943 | + | 22.1604i | 0.415759 | + | 0.720116i | 0.995508 | − | 0.0946792i | \(-0.0301825\pi\) |
−0.579749 | + | 0.814795i | \(0.696849\pi\) | |||||||
\(948\) | −5.64165 | + | 37.3808i | −0.183232 | + | 1.21407i | ||||
\(949\) | −6.74035 | + | 11.6746i | −0.218801 | + | 0.378975i | ||||
\(950\) | −9.66247 | + | 3.09018i | −0.313492 | + | 0.100259i | ||||
\(951\) | 9.99882 | − | 10.3351i | 0.324234 | − | 0.335140i | ||||
\(952\) | −4.56217 | − | 1.90124i | −0.147861 | − | 0.0616194i | ||||
\(953\) | − | 25.0168i | − | 0.810375i | −0.914234 | − | 0.405187i | \(-0.867206\pi\) | ||
0.914234 | − | 0.405187i | \(-0.132794\pi\) | |||||||
\(954\) | −15.0891 | − | 42.3048i | −0.488528 | − | 1.36967i | ||||
\(955\) | −23.1860 | − | 13.3865i | −0.750283 | − | 0.433176i | ||||
\(956\) | 27.5822 | − | 19.6523i | 0.892072 | − | 0.635602i | ||||
\(957\) | 7.08672 | + | 1.77381i | 0.229081 | + | 0.0573391i | ||||
\(958\) | −15.4764 | − | 3.36450i | −0.500019 | − | 0.108702i | ||||
\(959\) | 37.2068 | − | 9.39520i | 1.20147 | − | 0.303387i | ||||
\(960\) | −33.4825 | − | 17.5360i | −1.08064 | − | 0.565971i | ||||
\(961\) | −10.6827 | − | 18.5029i | −0.344603 | − | 0.596869i | ||||
\(962\) | 40.2091 | − | 44.2434i | 1.29639 | − | 1.42646i | ||||
\(963\) | −46.3800 | − | 24.7697i | −1.49458 | − | 0.798192i | ||||
\(964\) | −1.11288 | − | 11.6216i | −0.0358434 | − | 0.374307i | ||||
\(965\) | − | 46.8054i | − | 1.50672i | ||||||
\(966\) | 2.07125 | + | 6.43028i | 0.0666414 | + | 0.206891i | ||||
\(967\) | − | 25.4408i | − | 0.818122i | −0.912507 | − | 0.409061i | \(-0.865856\pi\) | ||
0.912507 | − | 0.409061i | \(-0.134144\pi\) | |||||||
\(968\) | 2.28819 | − | 19.2032i | 0.0735452 | − | 0.617215i | ||||
\(969\) | −3.23294 | + | 0.923830i | −0.103857 | + | 0.0296777i | ||||
\(970\) | 19.7463 | + | 17.9458i | 0.634017 | + | 0.576204i | ||||
\(971\) | −3.28999 | − | 5.69843i | −0.105581 | − | 0.182871i | 0.808395 | − | 0.588641i | \(-0.200337\pi\) |
−0.913975 | + | 0.405770i | \(0.867003\pi\) | |||||||
\(972\) | 13.2783 | + | 28.2079i | 0.425902 | + | 0.904769i | ||||
\(973\) | −10.6608 | − | 10.9736i | −0.341770 | − | 0.351798i | ||||
\(974\) | −2.98572 | + | 13.7340i | −0.0956687 | + | 0.440066i | ||||
\(975\) | −4.55776 | + | 18.2092i | −0.145965 | + | 0.583160i | ||||
\(976\) | 0.779264 | − | 0.150625i | 0.0249436 | − | 0.00482138i | ||||
\(977\) | −4.46235 | − | 2.57634i | −0.142763 | − | 0.0824244i | 0.426917 | − | 0.904291i | \(-0.359600\pi\) |
−0.569680 | + | 0.821866i | \(0.692933\pi\) | |||||||
\(978\) | −44.9631 | − | 22.2392i | −1.43776 | − | 0.711132i | ||||
\(979\) | − | 1.10427i | − | 0.0352926i | ||||||
\(980\) | −34.2687 | − | 16.8524i | −1.09467 | − | 0.538331i | ||||
\(981\) | 0.0633932 | + | 1.91587i | 0.00202399 | + | 0.0611691i | ||||
\(982\) | −1.13861 | − | 3.56022i | −0.0363344 | − | 0.113611i | ||||
\(983\) | −16.1512 | + | 27.9747i | −0.515143 | + | 0.892253i | 0.484703 | + | 0.874679i | \(0.338928\pi\) |
−0.999846 | + | 0.0175745i | \(0.994406\pi\) | |||||||
\(984\) | 13.7017 | − | 35.9800i | 0.436794 | − | 1.14700i | ||||
\(985\) | −15.0437 | − | 26.0565i | −0.479332 | − | 0.830228i | ||||
\(986\) | −1.88684 | − | 0.410192i | −0.0600893 | − | 0.0130632i | ||||
\(987\) | −4.77694 | + | 0.00994270i | −0.152052 | + | 0.000316479i | ||||
\(988\) | −10.8374 | + | 23.7474i | −0.344783 | + | 0.755507i | ||||
\(989\) | −0.478974 | + | 0.276536i | −0.0152305 | + | 0.00879332i | ||||
\(990\) | −15.2936 | + | 17.9890i | −0.486061 | + | 0.571728i | ||||
\(991\) | 2.23686 | + | 1.29145i | 0.0710563 | + | 0.0410244i | 0.535107 | − | 0.844784i | \(-0.320271\pi\) |
−0.464051 | + | 0.885809i | \(0.653605\pi\) | |||||||
\(992\) | −14.9992 | − | 9.12869i | −0.476225 | − | 0.289836i | ||||
\(993\) | −18.3886 | + | 19.0071i | −0.583545 | + | 0.603173i | ||||
\(994\) | 18.2461 | + | 9.73978i | 0.578730 | + | 0.308927i | ||||
\(995\) | −60.8399 | −1.92875 | ||||||||
\(996\) | 19.7863 | − | 24.8014i | 0.626953 | − | 0.785862i | ||||
\(997\) | 21.4033 | − | 37.0717i | 0.677851 | − | 1.17407i | −0.297776 | − | 0.954636i | \(-0.596245\pi\) |
0.975627 | − | 0.219436i | \(-0.0704218\pi\) | |||||||
\(998\) | −20.7671 | − | 18.8735i | −0.657371 | − | 0.597429i | ||||
\(999\) | 48.3584 | + | 10.4177i | 1.52999 | + | 0.329602i |
(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 | 84.2.n.a.11.8 | yes | 24 | |
3.2 | odd | 2 | inner | 84.2.n.a.11.5 | yes | 24 | |
4.3 | odd | 2 | inner | 84.2.n.a.11.4 | ✓ | 24 | |
7.2 | even | 3 | inner | 84.2.n.a.23.9 | yes | 24 | |
7.3 | odd | 6 | 588.2.e.d.491.1 | 12 | |||
7.4 | even | 3 | 588.2.e.e.491.1 | 12 | |||
7.5 | odd | 6 | 588.2.n.e.275.9 | 24 | |||
7.6 | odd | 2 | 588.2.n.e.263.8 | 24 | |||
12.11 | even | 2 | inner | 84.2.n.a.11.9 | yes | 24 | |
21.2 | odd | 6 | inner | 84.2.n.a.23.4 | yes | 24 | |
21.5 | even | 6 | 588.2.n.e.275.4 | 24 | |||
21.11 | odd | 6 | 588.2.e.e.491.12 | 12 | |||
21.17 | even | 6 | 588.2.e.d.491.12 | 12 | |||
21.20 | even | 2 | 588.2.n.e.263.5 | 24 | |||
28.3 | even | 6 | 588.2.e.d.491.11 | 12 | |||
28.11 | odd | 6 | 588.2.e.e.491.11 | 12 | |||
28.19 | even | 6 | 588.2.n.e.275.5 | 24 | |||
28.23 | odd | 6 | inner | 84.2.n.a.23.5 | yes | 24 | |
28.27 | even | 2 | 588.2.n.e.263.4 | 24 | |||
84.11 | even | 6 | 588.2.e.e.491.2 | 12 | |||
84.23 | even | 6 | inner | 84.2.n.a.23.8 | yes | 24 | |
84.47 | odd | 6 | 588.2.n.e.275.8 | 24 | |||
84.59 | odd | 6 | 588.2.e.d.491.2 | 12 | |||
84.83 | odd | 2 | 588.2.n.e.263.9 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.n.a.11.4 | ✓ | 24 | 4.3 | odd | 2 | inner | |
84.2.n.a.11.5 | yes | 24 | 3.2 | odd | 2 | inner | |
84.2.n.a.11.8 | yes | 24 | 1.1 | even | 1 | trivial | |
84.2.n.a.11.9 | yes | 24 | 12.11 | even | 2 | inner | |
84.2.n.a.23.4 | yes | 24 | 21.2 | odd | 6 | inner | |
84.2.n.a.23.5 | yes | 24 | 28.23 | odd | 6 | inner | |
84.2.n.a.23.8 | yes | 24 | 84.23 | even | 6 | inner | |
84.2.n.a.23.9 | yes | 24 | 7.2 | even | 3 | inner | |
588.2.e.d.491.1 | 12 | 7.3 | odd | 6 | |||
588.2.e.d.491.2 | 12 | 84.59 | odd | 6 | |||
588.2.e.d.491.11 | 12 | 28.3 | even | 6 | |||
588.2.e.d.491.12 | 12 | 21.17 | even | 6 | |||
588.2.e.e.491.1 | 12 | 7.4 | even | 3 | |||
588.2.e.e.491.2 | 12 | 84.11 | even | 6 | |||
588.2.e.e.491.11 | 12 | 28.11 | odd | 6 | |||
588.2.e.e.491.12 | 12 | 21.11 | odd | 6 | |||
588.2.n.e.263.4 | 24 | 28.27 | even | 2 | |||
588.2.n.e.263.5 | 24 | 21.20 | even | 2 | |||
588.2.n.e.263.8 | 24 | 7.6 | odd | 2 | |||
588.2.n.e.263.9 | 24 | 84.83 | odd | 2 | |||
588.2.n.e.275.4 | 24 | 21.5 | even | 6 | |||
588.2.n.e.275.5 | 24 | 28.19 | even | 6 | |||
588.2.n.e.275.8 | 24 | 84.47 | odd | 6 | |||
588.2.n.e.275.9 | 24 | 7.5 | odd | 6 |