Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(11,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 8, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bw (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 546.11 |
Dual form | 546.2.bw.a.149.13 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | 0.770566 | + | 1.55120i | 0.444886 | + | 0.895587i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −1.57124 | − | 0.421014i | −0.702682 | − | 0.188283i | −0.110250 | − | 0.993904i | \(-0.535165\pi\) |
−0.592432 | + | 0.805621i | \(0.701832\pi\) | |||||||
\(6\) | 1.29891 | − | 1.14579i | 0.530277 | − | 0.467767i | ||||
\(7\) | 0.222219 | − | 2.63640i | 0.0839908 | − | 0.996467i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.81246 | + | 2.39061i | −0.604152 | + | 0.796869i | ||||
\(10\) | 1.62667i | 0.514399i | ||||||||
\(11\) | 3.58913 | + | 3.58913i | 1.08216 | + | 1.08216i | 0.996308 | + | 0.0858544i | \(0.0273620\pi\) |
0.0858544 | + | 0.996308i | \(0.472638\pi\) | |||||||
\(12\) | −1.44293 | − | 0.958098i | −0.416538 | − | 0.276579i | ||||
\(13\) | 3.58027 | − | 0.426188i | 0.992989 | − | 0.118203i | ||||
\(14\) | −2.60408 | + | 0.467704i | −0.695971 | + | 0.124999i | ||||
\(15\) | −0.557670 | − | 2.76174i | −0.143990 | − | 0.713077i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0.426717 | + | 0.739096i | 0.103494 | + | 0.179257i | 0.913122 | − | 0.407687i | \(-0.133664\pi\) |
−0.809628 | + | 0.586944i | \(0.800331\pi\) | |||||||
\(18\) | 2.77825 | + | 1.13196i | 0.654839 | + | 0.266806i | ||||
\(19\) | 3.96078 | + | 3.96078i | 0.908665 | + | 0.908665i | 0.996165 | − | 0.0874998i | \(-0.0278877\pi\) |
−0.0874998 | + | 0.996165i | \(0.527888\pi\) | |||||||
\(20\) | 1.57124 | − | 0.421014i | 0.351341 | − | 0.0941415i | ||||
\(21\) | 4.26083 | − | 1.68682i | 0.929789 | − | 0.368093i | ||||
\(22\) | 2.53789 | − | 4.39576i | 0.541081 | − | 0.937180i | ||||
\(23\) | −1.24829 | + | 2.16211i | −0.260287 | + | 0.450831i | −0.966318 | − | 0.257350i | \(-0.917151\pi\) |
0.706031 | + | 0.708181i | \(0.250484\pi\) | |||||||
\(24\) | −0.551993 | + | 1.64174i | −0.112675 | + | 0.335118i | ||||
\(25\) | −2.03857 | − | 1.17697i | −0.407714 | − | 0.235394i | ||||
\(26\) | −1.33831 | − | 3.34797i | −0.262464 | − | 0.656592i | ||||
\(27\) | −5.10493 | − | 0.969366i | −0.982445 | − | 0.186555i | ||||
\(28\) | 1.12575 | + | 2.39430i | 0.212748 | + | 0.452480i | ||||
\(29\) | 4.98976 | − | 2.88084i | 0.926576 | − | 0.534959i | 0.0408488 | − | 0.999165i | \(-0.486994\pi\) |
0.885727 | + | 0.464207i | \(0.153660\pi\) | |||||||
\(30\) | −2.52330 | + | 1.25346i | −0.460689 | + | 0.228849i | ||||
\(31\) | 5.51999 | − | 1.47908i | 0.991420 | − | 0.265650i | 0.273573 | − | 0.961851i | \(-0.411794\pi\) |
0.717847 | + | 0.696201i | \(0.245128\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −2.80180 | + | 8.33312i | −0.487731 | + | 1.45061i | ||||
\(34\) | 0.603469 | − | 0.603469i | 0.103494 | − | 0.103494i | ||||
\(35\) | −1.45912 | + | 4.04888i | −0.246637 | + | 0.684385i | ||||
\(36\) | 0.374330 | − | 2.97655i | 0.0623883 | − | 0.496092i | ||||
\(37\) | 1.42237 | + | 5.30835i | 0.233836 | + | 0.872687i | 0.978670 | + | 0.205437i | \(0.0658617\pi\) |
−0.744835 | + | 0.667249i | \(0.767472\pi\) | |||||||
\(38\) | 2.80069 | − | 4.85094i | 0.454332 | − | 0.786927i | ||||
\(39\) | 3.41994 | + | 5.22532i | 0.547629 | + | 0.836721i | ||||
\(40\) | −0.813336 | − | 1.40874i | −0.128600 | − | 0.222741i | ||||
\(41\) | 2.07420 | + | 0.555780i | 0.323935 | + | 0.0867982i | 0.417122 | − | 0.908850i | \(-0.363039\pi\) |
−0.0931868 | + | 0.995649i | \(0.529705\pi\) | |||||||
\(42\) | −2.73212 | − | 3.67906i | −0.421576 | − | 0.567692i | ||||
\(43\) | 11.2486 | + | 6.49440i | 1.71540 | + | 0.990386i | 0.926865 | + | 0.375395i | \(0.122493\pi\) |
0.788534 | + | 0.614991i | \(0.210841\pi\) | |||||||
\(44\) | −4.90284 | − | 1.31371i | −0.739130 | − | 0.198049i | ||||
\(45\) | 3.85429 | − | 2.99316i | 0.574564 | − | 0.446194i | ||||
\(46\) | 2.41152 | + | 0.646164i | 0.355559 | + | 0.0952717i | ||||
\(47\) | −1.93794 | + | 7.23248i | −0.282677 | + | 1.05497i | 0.667843 | + | 0.744303i | \(0.267218\pi\) |
−0.950520 | + | 0.310664i | \(0.899449\pi\) | |||||||
\(48\) | 1.72866 | + | 0.108271i | 0.249511 | + | 0.0156276i | ||||
\(49\) | −6.90124 | − | 1.17172i | −0.985891 | − | 0.167388i | ||||
\(50\) | −0.609244 | + | 2.27373i | −0.0861601 | + | 0.321554i | ||||
\(51\) | −0.817673 | + | 1.23145i | −0.114497 | + | 0.172437i | ||||
\(52\) | −2.88751 | + | 2.15923i | −0.400426 | + | 0.299431i | ||||
\(53\) | −9.96523 | − | 5.75343i | −1.36883 | − | 0.790294i | −0.378051 | − | 0.925785i | \(-0.623406\pi\) |
−0.990779 | + | 0.135490i | \(0.956739\pi\) | |||||||
\(54\) | 0.384918 | + | 5.18188i | 0.0523807 | + | 0.705164i | ||||
\(55\) | −4.12832 | − | 7.15047i | −0.556663 | − | 0.964169i | ||||
\(56\) | 2.02135 | − | 1.70709i | 0.270114 | − | 0.228119i | ||||
\(57\) | −3.09193 | + | 9.19601i | −0.409536 | + | 1.21804i | ||||
\(58\) | −4.07412 | − | 4.07412i | −0.534959 | − | 0.534959i | ||||
\(59\) | −0.213668 | + | 0.797418i | −0.0278172 | + | 0.103815i | −0.978439 | − | 0.206538i | \(-0.933780\pi\) |
0.950622 | + | 0.310353i | \(0.100447\pi\) | |||||||
\(60\) | 1.86382 | + | 2.11290i | 0.240619 | + | 0.272774i | ||||
\(61\) | 5.85386 | 0.749510 | 0.374755 | − | 0.927124i | \(-0.377727\pi\) | ||||
0.374755 | + | 0.927124i | \(0.377727\pi\) | |||||||
\(62\) | −2.85736 | − | 4.94909i | −0.362885 | − | 0.628535i | ||||
\(63\) | 5.89984 | + | 5.30960i | 0.743310 | + | 0.668947i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −5.80492 | − | 0.837699i | −0.720011 | − | 0.103904i | ||||
\(66\) | 8.77433 | + | 0.549563i | 1.08005 | + | 0.0676465i | ||||
\(67\) | −8.67051 | − | 8.67051i | −1.05927 | − | 1.05927i | −0.998129 | − | 0.0611424i | \(-0.980526\pi\) |
−0.0611424 | − | 0.998129i | \(-0.519474\pi\) | |||||||
\(68\) | −0.739096 | − | 0.426717i | −0.0896285 | − | 0.0517471i | ||||
\(69\) | −4.31576 | − | 0.270309i | −0.519556 | − | 0.0325414i | ||||
\(70\) | 4.28856 | + | 0.361477i | 0.512581 | + | 0.0432048i | ||||
\(71\) | −3.90925 | − | 14.5895i | −0.463942 | − | 1.73146i | −0.660373 | − | 0.750938i | \(-0.729602\pi\) |
0.196431 | − | 0.980518i | \(-0.437065\pi\) | |||||||
\(72\) | −2.97201 | + | 0.408814i | −0.350255 | + | 0.0481792i | ||||
\(73\) | 2.83040 | + | 10.5632i | 0.331273 | + | 1.23633i | 0.907853 | + | 0.419288i | \(0.137720\pi\) |
−0.576580 | + | 0.817040i | \(0.695613\pi\) | |||||||
\(74\) | 4.75933 | − | 2.74780i | 0.553261 | − | 0.319425i | ||||
\(75\) | 0.254864 | − | 4.06917i | 0.0294292 | − | 0.469867i | ||||
\(76\) | −5.41052 | − | 1.44975i | −0.620630 | − | 0.166297i | ||||
\(77\) | 10.2600 | − | 8.66481i | 1.16923 | − | 0.987447i | ||||
\(78\) | 4.16213 | − | 4.65582i | 0.471268 | − | 0.527168i | ||||
\(79\) | −6.03981 | − | 10.4613i | −0.679532 | − | 1.17698i | −0.975122 | − | 0.221669i | \(-0.928850\pi\) |
0.295590 | − | 0.955315i | \(-0.404484\pi\) | |||||||
\(80\) | −1.15023 | + | 1.15023i | −0.128600 | + | 0.128600i | ||||
\(81\) | −2.43000 | − | 8.66574i | −0.270000 | − | 0.962860i | ||||
\(82\) | − | 2.14737i | − | 0.237137i | ||||||
\(83\) | 3.18424 | − | 3.18424i | 0.349516 | − | 0.349516i | −0.510413 | − | 0.859929i | \(-0.670508\pi\) |
0.859929 | + | 0.510413i | \(0.170508\pi\) | |||||||
\(84\) | −2.84658 | + | 3.59124i | −0.310587 | + | 0.391836i | ||||
\(85\) | −0.359308 | − | 1.34095i | −0.0389724 | − | 0.145447i | ||||
\(86\) | 3.36175 | − | 12.5462i | 0.362506 | − | 1.35289i | ||||
\(87\) | 8.31371 | + | 5.52025i | 0.891323 | + | 0.591833i | ||||
\(88\) | 5.07579i | 0.541081i | ||||||||
\(89\) | 6.85883 | − | 1.83782i | 0.727034 | − | 0.194808i | 0.123726 | − | 0.992316i | \(-0.460516\pi\) |
0.603308 | + | 0.797508i | \(0.293849\pi\) | |||||||
\(90\) | −3.88873 | − | 2.94827i | −0.409909 | − | 0.310775i | ||||
\(91\) | −0.327998 | − | 9.53375i | −0.0343835 | − | 0.999409i | ||||
\(92\) | − | 2.49659i | − | 0.260287i | ||||||
\(93\) | 6.54787 | + | 7.42290i | 0.678982 | + | 0.769719i | ||||
\(94\) | 7.48762 | 0.772289 | ||||||||
\(95\) | −4.55581 | − | 7.89089i | −0.467416 | − | 0.809588i | ||||
\(96\) | −0.342829 | − | 1.69778i | −0.0349898 | − | 0.173279i | ||||
\(97\) | −14.9348 | + | 4.00176i | −1.51640 | + | 0.406317i | −0.918554 | − | 0.395296i | \(-0.870642\pi\) |
−0.597843 | + | 0.801613i | \(0.703975\pi\) | |||||||
\(98\) | 0.654380 | + | 6.96935i | 0.0661024 | + | 0.704010i | ||||
\(99\) | −15.0853 | + | 2.07506i | −1.51613 | + | 0.208551i | ||||
\(100\) | 2.35394 | 0.235394 | ||||||||
\(101\) | 2.12057 | 0.211005 | 0.105502 | − | 0.994419i | \(-0.466355\pi\) | ||||
0.105502 | + | 0.994419i | \(0.466355\pi\) | |||||||
\(102\) | 1.40112 | + | 0.471090i | 0.138731 | + | 0.0466449i | ||||
\(103\) | −2.43480 | + | 1.40573i | −0.239908 | + | 0.138511i | −0.615135 | − | 0.788422i | \(-0.710898\pi\) |
0.375226 | + | 0.926933i | \(0.377565\pi\) | |||||||
\(104\) | 2.83300 | + | 2.23028i | 0.277798 | + | 0.218697i | ||||
\(105\) | −7.40498 | + | 0.856533i | −0.722652 | + | 0.0835891i | ||||
\(106\) | −2.97819 | + | 11.1148i | −0.289268 | + | 1.07956i | ||||
\(107\) | −10.5143 | − | 6.07045i | −1.01646 | − | 0.586852i | −0.103382 | − | 0.994642i | \(-0.532966\pi\) |
−0.913076 | + | 0.407790i | \(0.866300\pi\) | |||||||
\(108\) | 4.90568 | − | 1.71297i | 0.472050 | − | 0.164831i | ||||
\(109\) | −6.99713 | + | 1.87488i | −0.670204 | + | 0.179581i | −0.577847 | − | 0.816145i | \(-0.696107\pi\) |
−0.0923571 | + | 0.995726i | \(0.529440\pi\) | |||||||
\(110\) | −5.83833 | + | 5.83833i | −0.556663 | + | 0.556663i | ||||
\(111\) | −7.13829 | + | 6.29681i | −0.677536 | + | 0.597667i | ||||
\(112\) | −2.17208 | − | 1.51065i | −0.205242 | − | 0.142743i | ||||
\(113\) | −9.65602 | − | 5.57491i | −0.908362 | − | 0.524443i | −0.0284582 | − | 0.999595i | \(-0.509060\pi\) |
−0.879904 | + | 0.475152i | \(0.842393\pi\) | |||||||
\(114\) | 9.68291 | + | 0.606470i | 0.906888 | + | 0.0568011i | ||||
\(115\) | 2.87165 | − | 2.87165i | 0.267783 | − | 0.267783i | ||||
\(116\) | −2.88084 | + | 4.98976i | −0.267479 | + | 0.463288i | ||||
\(117\) | −5.47024 | + | 9.33148i | −0.505724 | + | 0.862695i | ||||
\(118\) | 0.825548 | 0.0759979 | ||||||||
\(119\) | 2.04338 | − | 0.960757i | 0.187316 | − | 0.0880725i | ||||
\(120\) | 1.55851 | − | 2.34718i | 0.142272 | − | 0.214267i | ||||
\(121\) | 14.7636i | 1.34215i | ||||||||
\(122\) | −1.51509 | − | 5.65440i | −0.137170 | − | 0.511925i | ||||
\(123\) | 0.736180 | + | 3.64577i | 0.0663791 | + | 0.328728i | ||||
\(124\) | −4.04092 | + | 4.04092i | −0.362885 | + | 0.362885i | ||||
\(125\) | 8.45873 | + | 8.45873i | 0.756571 | + | 0.756571i | ||||
\(126\) | 3.60169 | − | 7.07303i | 0.320864 | − | 0.630116i | ||||
\(127\) | 6.85083 | − | 3.95533i | 0.607913 | − | 0.350979i | −0.164235 | − | 0.986421i | \(-0.552516\pi\) |
0.772148 | + | 0.635442i | \(0.219182\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −1.40631 | + | 22.4532i | −0.123819 | + | 1.97690i | ||||
\(130\) | 0.693268 | + | 5.82393i | 0.0608036 | + | 0.510793i | ||||
\(131\) | 6.60251 | − | 3.81196i | 0.576864 | − | 0.333053i | −0.183022 | − | 0.983109i | \(-0.558588\pi\) |
0.759886 | + | 0.650056i | \(0.225255\pi\) | |||||||
\(132\) | −1.74013 | − | 8.61759i | −0.151459 | − | 0.750065i | ||||
\(133\) | 11.3224 | − | 9.56204i | 0.981773 | − | 0.829134i | ||||
\(134\) | −6.13098 | + | 10.6192i | −0.529636 | + | 0.917356i | ||||
\(135\) | 7.61298 | + | 3.67236i | 0.655221 | + | 0.316066i | ||||
\(136\) | −0.220885 | + | 0.824354i | −0.0189407 | + | 0.0706878i | ||||
\(137\) | −1.87303 | + | 6.99026i | −0.160024 | + | 0.597218i | 0.838599 | + | 0.544750i | \(0.183375\pi\) |
−0.998623 | + | 0.0524680i | \(0.983291\pi\) | |||||||
\(138\) | 0.855902 | + | 4.23867i | 0.0728592 | + | 0.360819i | ||||
\(139\) | 2.22956 | − | 3.86172i | 0.189109 | − | 0.327547i | −0.755844 | − | 0.654751i | \(-0.772773\pi\) |
0.944953 | + | 0.327205i | \(0.106107\pi\) | |||||||
\(140\) | −0.760801 | − | 4.23599i | −0.0642995 | − | 0.358007i | ||||
\(141\) | −12.7124 | + | 2.56697i | −1.07057 | + | 0.216178i | ||||
\(142\) | −13.0806 | + | 7.55208i | −1.09770 | + | 0.633757i | ||||
\(143\) | 14.3797 | + | 11.3204i | 1.20249 | + | 0.946660i | ||||
\(144\) | 1.16410 | + | 2.76494i | 0.0970082 | + | 0.230411i | ||||
\(145\) | −9.05301 | + | 2.42575i | −0.751812 | + | 0.201447i | ||||
\(146\) | 9.47070 | − | 5.46791i | 0.783801 | − | 0.452527i | ||||
\(147\) | −3.50029 | − | 11.6081i | −0.288699 | − | 0.957420i | ||||
\(148\) | −3.88598 | − | 3.88598i | −0.319425 | − | 0.319425i | ||||
\(149\) | 8.68358 | − | 8.68358i | 0.711387 | − | 0.711387i | −0.255439 | − | 0.966825i | \(-0.582220\pi\) |
0.966825 | + | 0.255439i | \(0.0822199\pi\) | |||||||
\(150\) | −3.99648 | + | 0.806998i | −0.326311 | + | 0.0658911i | ||||
\(151\) | 0.0146551 | + | 0.0546937i | 0.00119262 | + | 0.00445091i | 0.966520 | − | 0.256593i | \(-0.0826000\pi\) |
−0.965327 | + | 0.261044i | \(0.915933\pi\) | |||||||
\(152\) | 5.60139i | 0.454332i | ||||||||
\(153\) | −2.54029 | − | 0.319466i | −0.205371 | − | 0.0258273i | ||||
\(154\) | −11.0250 | − | 7.66773i | −0.888422 | − | 0.617884i | ||||
\(155\) | −9.29597 | −0.746671 | ||||||||
\(156\) | −5.57442 | − | 2.81529i | −0.446311 | − | 0.225404i | ||||
\(157\) | −2.03262 | + | 3.52061i | −0.162221 | + | 0.280975i | −0.935665 | − | 0.352890i | \(-0.885199\pi\) |
0.773444 | + | 0.633865i | \(0.218532\pi\) | |||||||
\(158\) | −8.54158 | + | 8.54158i | −0.679532 | + | 0.679532i | ||||
\(159\) | 1.24586 | − | 19.8915i | 0.0988035 | − | 1.57750i | ||||
\(160\) | 1.40874 | + | 0.813336i | 0.111371 | + | 0.0642999i | ||||
\(161\) | 5.42279 | + | 3.77147i | 0.427376 | + | 0.297233i | ||||
\(162\) | −7.74153 | + | 4.59006i | −0.608232 | + | 0.360629i | ||||
\(163\) | −7.19966 | + | 7.19966i | −0.563921 | + | 0.563921i | −0.930419 | − | 0.366498i | \(-0.880557\pi\) |
0.366498 | + | 0.930419i | \(0.380557\pi\) | |||||||
\(164\) | −2.07420 | + | 0.555780i | −0.161968 | + | 0.0433991i | ||||
\(165\) | 7.91067 | − | 11.9138i | 0.615845 | − | 0.927486i | ||||
\(166\) | −3.89989 | − | 2.25160i | −0.302690 | − | 0.174758i | ||||
\(167\) | 2.89910 | − | 10.8196i | 0.224339 | − | 0.837245i | −0.758329 | − | 0.651872i | \(-0.773984\pi\) |
0.982668 | − | 0.185373i | \(-0.0593493\pi\) | |||||||
\(168\) | 4.20562 | + | 1.82010i | 0.324471 | + | 0.140424i | ||||
\(169\) | 12.6367 | − | 3.05174i | 0.972056 | − | 0.234749i | ||||
\(170\) | −1.20227 | + | 0.694129i | −0.0922096 | + | 0.0532373i | ||||
\(171\) | −16.6474 | + | 2.28993i | −1.27306 | + | 0.175115i | ||||
\(172\) | −12.9888 | −0.990386 | ||||||||
\(173\) | −11.9430 | −0.908013 | −0.454007 | − | 0.890998i | \(-0.650006\pi\) | ||||
−0.454007 | + | 0.890998i | \(0.650006\pi\) | |||||||
\(174\) | 3.18041 | − | 9.45917i | 0.241106 | − | 0.717098i | ||||
\(175\) | −3.55597 | + | 5.11295i | −0.268806 | + | 0.386502i | ||||
\(176\) | 4.90284 | − | 1.31371i | 0.369565 | − | 0.0990247i | ||||
\(177\) | −1.40160 | + | 0.283022i | −0.105351 | + | 0.0212732i | ||||
\(178\) | −3.55039 | − | 6.14945i | −0.266113 | − | 0.460921i | ||||
\(179\) | −17.0979 | −1.27796 | −0.638980 | − | 0.769223i | \(-0.720643\pi\) | ||||
−0.638980 | + | 0.769223i | \(0.720643\pi\) | |||||||
\(180\) | −1.84133 | + | 4.51930i | −0.137245 | + | 0.336849i | ||||
\(181\) | 10.3755i | 0.771203i | 0.922665 | + | 0.385602i | \(0.126006\pi\) | ||||
−0.922665 | + | 0.385602i | \(0.873994\pi\) | |||||||
\(182\) | −9.12400 | + | 2.78434i | −0.676316 | + | 0.206389i | ||||
\(183\) | 4.51079 | + | 9.08053i | 0.333447 | + | 0.671252i | ||||
\(184\) | −2.41152 | + | 0.646164i | −0.177780 | + | 0.0476359i | ||||
\(185\) | − | 8.93954i | − | 0.657248i | ||||||
\(186\) | 5.47526 | − | 8.24594i | 0.401465 | − | 0.604622i | ||||
\(187\) | −1.12117 | + | 4.18425i | −0.0819878 | + | 0.305983i | ||||
\(188\) | −1.93794 | − | 7.23248i | −0.141339 | − | 0.527483i | ||||
\(189\) | −3.69005 | + | 13.2432i | −0.268412 | + | 0.963304i | ||||
\(190\) | −6.44289 | + | 6.44289i | −0.467416 | + | 0.467416i | ||||
\(191\) | 10.4796i | 0.758275i | 0.925340 | + | 0.379138i | \(0.123779\pi\) | ||||
−0.925340 | + | 0.379138i | \(0.876221\pi\) | |||||||
\(192\) | −1.55120 | + | 0.770566i | −0.111948 | + | 0.0556108i | ||||
\(193\) | 2.15847 | − | 2.15847i | 0.155370 | − | 0.155370i | −0.625141 | − | 0.780512i | \(-0.714959\pi\) |
0.780512 | + | 0.625141i | \(0.214959\pi\) | |||||||
\(194\) | 7.73081 | + | 13.3902i | 0.555040 | + | 0.961357i | ||||
\(195\) | −3.17363 | − | 9.65010i | −0.227268 | − | 0.691058i | ||||
\(196\) | 6.56251 | − | 2.43588i | 0.468750 | − | 0.173992i | ||||
\(197\) | 21.4008 | + | 5.73433i | 1.52474 | + | 0.408554i | 0.921301 | − | 0.388851i | \(-0.127128\pi\) |
0.603444 | + | 0.797405i | \(0.293795\pi\) | |||||||
\(198\) | 5.90872 | + | 14.0342i | 0.419914 | + | 0.997370i | ||||
\(199\) | 4.29390 | − | 2.47908i | 0.304386 | − | 0.175737i | −0.340025 | − | 0.940416i | \(-0.610436\pi\) |
0.644412 | + | 0.764679i | \(0.277102\pi\) | |||||||
\(200\) | −0.609244 | − | 2.27373i | −0.0430801 | − | 0.160777i | ||||
\(201\) | 6.76852 | − | 20.1309i | 0.477414 | − | 1.41993i | ||||
\(202\) | −0.548845 | − | 2.04832i | −0.0386166 | − | 0.144119i | ||||
\(203\) | −6.48624 | − | 13.7952i | −0.455245 | − | 0.968233i | ||||
\(204\) | 0.0924026 | − | 1.47530i | 0.00646947 | − | 0.103292i | ||||
\(205\) | −3.02508 | − | 1.74653i | −0.211281 | − | 0.121983i | ||||
\(206\) | 1.98801 | + | 1.98801i | 0.138511 | + | 0.138511i | ||||
\(207\) | −2.90627 | − | 6.90291i | −0.202000 | − | 0.479785i | ||||
\(208\) | 1.42105 | − | 3.31370i | 0.0985319 | − | 0.229764i | ||||
\(209\) | 28.4315i | 1.96664i | ||||||||
\(210\) | 2.74390 | + | 6.93097i | 0.189347 | + | 0.478282i | ||||
\(211\) | −2.66289 | − | 4.61226i | −0.183321 | − | 0.317521i | 0.759689 | − | 0.650287i | \(-0.225351\pi\) |
−0.943009 | + | 0.332766i | \(0.892018\pi\) | |||||||
\(212\) | 11.5069 | 0.790294 | ||||||||
\(213\) | 19.6189 | − | 17.3062i | 1.34427 | − | 1.18580i | ||||
\(214\) | −3.14229 | + | 11.7272i | −0.214803 | + | 0.801655i | ||||
\(215\) | −14.9401 | − | 14.9401i | −1.01891 | − | 1.01891i | ||||
\(216\) | −2.92429 | − | 4.29518i | −0.198973 | − | 0.292250i | ||||
\(217\) | −2.67280 | − | 14.8816i | −0.181441 | − | 1.01023i | ||||
\(218\) | 3.62198 | + | 6.27346i | 0.245312 | + | 0.424892i | ||||
\(219\) | −14.2046 | + | 12.5302i | −0.959860 | + | 0.846709i | ||||
\(220\) | 7.15047 | + | 4.12832i | 0.482084 | + | 0.278331i | ||||
\(221\) | 1.84276 | + | 2.46430i | 0.123957 | + | 0.165767i | ||||
\(222\) | 7.92977 | + | 5.26532i | 0.532212 | + | 0.353385i | ||||
\(223\) | 2.72617 | − | 10.1742i | 0.182558 | − | 0.681315i | −0.812582 | − | 0.582846i | \(-0.801939\pi\) |
0.995140 | − | 0.0984687i | \(-0.0313944\pi\) | |||||||
\(224\) | −0.896998 | + | 2.48905i | −0.0599332 | + | 0.166307i | ||||
\(225\) | 6.50849 | − | 2.74022i | 0.433899 | − | 0.182681i | ||||
\(226\) | −2.88578 | + | 10.7699i | −0.191959 | + | 0.716403i | ||||
\(227\) | 3.90354 | + | 1.04595i | 0.259087 | + | 0.0694221i | 0.386024 | − | 0.922489i | \(-0.373848\pi\) |
−0.126937 | + | 0.991911i | \(0.540515\pi\) | |||||||
\(228\) | −1.92032 | − | 9.50994i | −0.127176 | − | 0.629811i | ||||
\(229\) | −5.91603 | − | 1.58519i | −0.390942 | − | 0.104753i | 0.0579930 | − | 0.998317i | \(-0.481530\pi\) |
−0.448935 | + | 0.893564i | \(0.648197\pi\) | |||||||
\(230\) | −3.51704 | − | 2.03056i | −0.231907 | − | 0.133891i | ||||
\(231\) | 21.3468 | + | 9.23845i | 1.40452 | + | 0.607846i | ||||
\(232\) | 5.56536 | + | 1.49123i | 0.365384 | + | 0.0979043i | ||||
\(233\) | −6.28957 | − | 10.8939i | −0.412044 | − | 0.713681i | 0.583069 | − | 0.812422i | \(-0.301852\pi\) |
−0.995113 | + | 0.0987417i | \(0.968518\pi\) | |||||||
\(234\) | 10.4293 | + | 2.86869i | 0.681786 | + | 0.187532i | ||||
\(235\) | 6.08995 | − | 10.5481i | 0.397264 | − | 0.688082i | ||||
\(236\) | −0.213668 | − | 0.797418i | −0.0139086 | − | 0.0519075i | ||||
\(237\) | 11.5735 | − | 17.4301i | 0.751777 | − | 1.13220i | ||||
\(238\) | −1.45689 | − | 1.72509i | −0.0944359 | − | 0.111821i | ||||
\(239\) | −14.2838 | + | 14.2838i | −0.923944 | + | 0.923944i | −0.997305 | − | 0.0733617i | \(-0.976627\pi\) |
0.0733617 | + | 0.997305i | \(0.476627\pi\) | |||||||
\(240\) | −2.67057 | − | 0.897912i | −0.172385 | − | 0.0579600i | ||||
\(241\) | 22.8441 | + | 6.12107i | 1.47152 | + | 0.394293i | 0.903452 | − | 0.428689i | \(-0.141024\pi\) |
0.568068 | + | 0.822982i | \(0.307691\pi\) | |||||||
\(242\) | 14.2606 | − | 3.82111i | 0.916705 | − | 0.245630i | ||||
\(243\) | 11.5698 | − | 10.4470i | 0.742206 | − | 0.670172i | ||||
\(244\) | −5.06959 | + | 2.92693i | −0.324548 | + | 0.187378i | ||||
\(245\) | 10.3502 | + | 4.74657i | 0.661252 | + | 0.303247i | ||||
\(246\) | 3.33100 | − | 1.65469i | 0.212377 | − | 0.105499i | ||||
\(247\) | 15.8687 | + | 12.4926i | 1.00970 | + | 0.794887i | ||||
\(248\) | 4.94909 | + | 2.85736i | 0.314268 | + | 0.181442i | ||||
\(249\) | 7.39307 | + | 2.48574i | 0.468517 | + | 0.157527i | ||||
\(250\) | 5.98122 | − | 10.3598i | 0.378286 | − | 0.655210i | ||||
\(251\) | −0.773364 | + | 1.33951i | −0.0488143 | + | 0.0845489i | −0.889400 | − | 0.457129i | \(-0.848878\pi\) |
0.840586 | + | 0.541678i | \(0.182211\pi\) | |||||||
\(252\) | −7.76421 | − | 1.64833i | −0.489099 | − | 0.103835i | ||||
\(253\) | −12.2404 | + | 3.27979i | −0.769545 | + | 0.206199i | ||||
\(254\) | −5.59368 | − | 5.59368i | −0.350979 | − | 0.350979i | ||||
\(255\) | 1.80322 | − | 1.59065i | 0.112922 | − | 0.0996105i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.44487 | + | 5.96669i | −0.214885 | + | 0.372192i | −0.953237 | − | 0.302224i | \(-0.902271\pi\) |
0.738352 | + | 0.674415i | \(0.235604\pi\) | |||||||
\(258\) | 22.0522 | − | 4.45293i | 1.37291 | − | 0.277227i | ||||
\(259\) | 14.3110 | − | 2.57032i | 0.889243 | − | 0.159712i | ||||
\(260\) | 5.44606 | − | 2.17699i | 0.337750 | − | 0.135011i | ||||
\(261\) | −2.15677 | + | 17.1500i | −0.133501 | + | 1.06156i | ||||
\(262\) | −5.39093 | − | 5.39093i | −0.333053 | − | 0.333053i | ||||
\(263\) | − | 5.27945i | − | 0.325545i | −0.986664 | − | 0.162772i | \(-0.947956\pi\) | ||
0.986664 | − | 0.162772i | \(-0.0520436\pi\) | |||||||
\(264\) | −7.87358 | + | 3.91123i | −0.484585 | + | 0.240720i | ||||
\(265\) | 13.2355 | + | 13.2355i | 0.813053 | + | 0.813053i | ||||
\(266\) | −12.1667 | − | 8.46172i | −0.745986 | − | 0.518822i | ||||
\(267\) | 8.13600 | + | 9.22327i | 0.497915 | + | 0.564455i | ||||
\(268\) | 11.8441 | + | 3.17363i | 0.723496 | + | 0.193860i | ||||
\(269\) | −16.4974 | + | 9.52479i | −1.00587 | + | 0.580737i | −0.909979 | − | 0.414655i | \(-0.863902\pi\) |
−0.0958873 | + | 0.995392i | \(0.530569\pi\) | |||||||
\(270\) | 1.57684 | − | 8.30405i | 0.0959635 | − | 0.505368i | ||||
\(271\) | 0.0665053 | + | 0.248201i | 0.00403991 | + | 0.0150772i | 0.967916 | − | 0.251273i | \(-0.0808491\pi\) |
−0.963876 | + | 0.266350i | \(0.914182\pi\) | |||||||
\(272\) | 0.853434 | 0.0517471 | ||||||||
\(273\) | 14.5360 | − | 7.85518i | 0.879761 | − | 0.475417i | ||||
\(274\) | 7.23685 | 0.437194 | ||||||||
\(275\) | −3.09239 | − | 11.5410i | −0.186478 | − | 0.695947i | ||||
\(276\) | 3.87271 | − | 1.92379i | 0.233110 | − | 0.115798i | ||||
\(277\) | −1.21697 | + | 0.702616i | −0.0731204 | + | 0.0422161i | −0.536114 | − | 0.844145i | \(-0.680108\pi\) |
0.462994 | + | 0.886361i | \(0.346775\pi\) | |||||||
\(278\) | −4.30719 | − | 1.15411i | −0.258328 | − | 0.0692187i | ||||
\(279\) | −6.46885 | + | 15.8769i | −0.387280 | + | 0.950525i | ||||
\(280\) | −3.89474 | + | 1.83123i | −0.232755 | + | 0.109437i | ||||
\(281\) | 18.3020 | + | 18.3020i | 1.09180 | + | 1.09180i | 0.995336 | + | 0.0964690i | \(0.0307548\pi\) |
0.0964690 | + | 0.995336i | \(0.469245\pi\) | |||||||
\(282\) | 5.76970 | + | 11.6148i | 0.343581 | + | 0.691652i | ||||
\(283\) | − | 24.0284i | − | 1.42834i | −0.699973 | − | 0.714169i | \(-0.746805\pi\) | ||
0.699973 | − | 0.714169i | \(-0.253195\pi\) | |||||||
\(284\) | 10.6803 | + | 10.6803i | 0.633757 | + | 0.633757i | ||||
\(285\) | 8.72982 | − | 13.1474i | 0.517110 | − | 0.778787i | ||||
\(286\) | 7.21294 | − | 16.8197i | 0.426510 | − | 0.994567i | ||||
\(287\) | 1.92619 | − | 5.34492i | 0.113699 | − | 0.315501i | ||||
\(288\) | 2.36943 | − | 1.84005i | 0.139620 | − | 0.108426i | ||||
\(289\) | 8.13582 | − | 14.0917i | 0.478578 | − | 0.828921i | ||||
\(290\) | 4.68618 | + | 8.11671i | 0.275182 | + | 0.476630i | ||||
\(291\) | −17.7158 | − | 20.0832i | −1.03852 | − | 1.17730i | ||||
\(292\) | −7.73279 | − | 7.73279i | −0.452527 | − | 0.452527i | ||||
\(293\) | −12.2954 | + | 3.29454i | −0.718304 | + | 0.192469i | −0.599415 | − | 0.800439i | \(-0.704600\pi\) |
−0.118889 | + | 0.992908i | \(0.537933\pi\) | |||||||
\(294\) | −10.3066 | + | 6.38542i | −0.601094 | + | 0.372405i | ||||
\(295\) | 0.671448 | − | 1.16298i | 0.0390932 | − | 0.0677114i | ||||
\(296\) | −2.74780 | + | 4.75933i | −0.159713 | + | 0.276631i | ||||
\(297\) | −14.8431 | − | 21.8014i | −0.861282 | − | 1.26505i | ||||
\(298\) | −10.6352 | − | 6.14022i | −0.616079 | − | 0.355693i | ||||
\(299\) | −3.54777 | + | 8.27295i | −0.205173 | + | 0.478437i | ||||
\(300\) | 1.81386 | + | 3.65143i | 0.104724 | + | 0.210816i | ||||
\(301\) | 19.6215 | − | 28.2127i | 1.13096 | − | 1.62615i | ||||
\(302\) | 0.0490370 | − | 0.0283115i | 0.00282176 | − | 0.00162915i | ||||
\(303\) | 1.63404 | + | 3.28944i | 0.0938733 | + | 0.188973i | ||||
\(304\) | 5.41052 | − | 1.44975i | 0.310315 | − | 0.0831486i | ||||
\(305\) | −9.19785 | − | 2.46456i | −0.526667 | − | 0.141120i | ||||
\(306\) | 0.348896 | + | 2.53642i | 0.0199451 | + | 0.144997i | ||||
\(307\) | 6.70956 | − | 6.70956i | 0.382935 | − | 0.382935i | −0.489223 | − | 0.872158i | \(-0.662720\pi\) |
0.872158 | + | 0.489223i | \(0.162720\pi\) | |||||||
\(308\) | −4.55297 | + | 12.6339i | −0.259430 | + | 0.719884i | ||||
\(309\) | −4.05676 | − | 2.69366i | −0.230781 | − | 0.153237i | ||||
\(310\) | 2.40597 | + | 8.97922i | 0.136650 | + | 0.509985i | ||||
\(311\) | 6.66105 | − | 11.5373i | 0.377714 | − | 0.654219i | −0.613016 | − | 0.790071i | \(-0.710044\pi\) |
0.990729 | + | 0.135852i | \(0.0433770\pi\) | |||||||
\(312\) | −1.27660 | + | 6.11312i | −0.0722731 | + | 0.346088i | ||||
\(313\) | 12.9713 | + | 22.4670i | 0.733183 | + | 1.26991i | 0.955516 | + | 0.294939i | \(0.0952994\pi\) |
−0.222333 | + | 0.974971i | \(0.571367\pi\) | |||||||
\(314\) | 3.92673 | + | 1.05216i | 0.221598 | + | 0.0593770i | ||||
\(315\) | −7.03468 | − | 10.8266i | −0.396359 | − | 0.610010i | ||||
\(316\) | 10.4613 | + | 6.03981i | 0.588492 | + | 0.339766i | ||||
\(317\) | 5.29018 | + | 1.41750i | 0.297126 | + | 0.0796148i | 0.404303 | − | 0.914625i | \(-0.367514\pi\) |
−0.107176 | + | 0.994240i | \(0.534181\pi\) | |||||||
\(318\) | −19.5362 | + | 3.94488i | −1.09553 | + | 0.221218i | ||||
\(319\) | 28.2486 | + | 7.56919i | 1.58162 | + | 0.423793i | ||||
\(320\) | 0.421014 | − | 1.57124i | 0.0235354 | − | 0.0878352i | ||||
\(321\) | 1.31451 | − | 20.9875i | 0.0733689 | − | 1.17141i | ||||
\(322\) | 2.23943 | − | 6.21414i | 0.124799 | − | 0.346301i | ||||
\(323\) | −1.23726 | + | 4.61753i | −0.0688431 | + | 0.256926i | ||||
\(324\) | 6.43732 | + | 6.28975i | 0.357629 | + | 0.349431i | ||||
\(325\) | −7.80025 | − | 3.34506i | −0.432680 | − | 0.185550i | ||||
\(326\) | 8.81774 | + | 5.09093i | 0.488370 | + | 0.281960i | ||||
\(327\) | −8.30006 | − | 9.40925i | −0.458994 | − | 0.520333i | ||||
\(328\) | 1.07368 | + | 1.85968i | 0.0592843 | + | 0.102683i | ||||
\(329\) | 18.6371 | + | 6.71638i | 1.02750 | + | 0.370286i | ||||
\(330\) | −13.5552 | − | 4.55761i | −0.746192 | − | 0.250888i | ||||
\(331\) | −1.71360 | − | 1.71360i | −0.0941880 | − | 0.0941880i | 0.658443 | − | 0.752631i | \(-0.271215\pi\) |
−0.752631 | + | 0.658443i | \(0.771215\pi\) | |||||||
\(332\) | −1.16551 | + | 4.34976i | −0.0639659 | + | 0.238724i | ||||
\(333\) | −15.2681 | − | 6.22082i | −0.836689 | − | 0.340899i | ||||
\(334\) | −11.2013 | −0.612906 | ||||||||
\(335\) | 9.97309 | + | 17.2739i | 0.544888 | + | 0.943774i | ||||
\(336\) | 0.669589 | − | 4.53339i | 0.0365291 | − | 0.247317i | ||||
\(337\) | − | 7.56541i | − | 0.412114i | −0.978540 | − | 0.206057i | \(-0.933937\pi\) | ||
0.978540 | − | 0.206057i | \(-0.0660633\pi\) | |||||||
\(338\) | −6.21838 | − | 11.4163i | −0.338235 | − | 0.620965i | ||||
\(339\) | 1.20721 | − | 19.2743i | 0.0655664 | − | 1.04683i | ||||
\(340\) | 0.981647 | + | 0.981647i | 0.0532373 | + | 0.0532373i | ||||
\(341\) | 25.1205 | + | 14.5034i | 1.36035 | + | 0.785401i | ||||
\(342\) | 6.52056 | + | 15.4875i | 0.352592 | + | 0.837467i | ||||
\(343\) | −4.62270 | + | 17.9341i | −0.249602 | + | 0.968348i | ||||
\(344\) | 3.36175 | + | 12.5462i | 0.181253 | + | 0.676446i | ||||
\(345\) | 6.66731 | + | 2.24172i | 0.358956 | + | 0.120690i | ||||
\(346\) | 3.09109 | + | 11.5361i | 0.166178 | + | 0.620184i | ||||
\(347\) | −19.8047 | + | 11.4343i | −1.06317 | + | 0.613824i | −0.926309 | − | 0.376765i | \(-0.877036\pi\) |
−0.136866 | + | 0.990590i | \(0.543703\pi\) | |||||||
\(348\) | −9.96001 | − | 0.623826i | −0.533913 | − | 0.0334406i | ||||
\(349\) | −14.5245 | − | 3.89183i | −0.777480 | − | 0.208325i | −0.151806 | − | 0.988410i | \(-0.548509\pi\) |
−0.625673 | + | 0.780085i | \(0.715176\pi\) | |||||||
\(350\) | 5.85908 | + | 2.11148i | 0.313181 | + | 0.112863i | ||||
\(351\) | −18.6902 | − | 1.29494i | −0.997608 | − | 0.0691186i | ||||
\(352\) | −2.53789 | − | 4.39576i | −0.135270 | − | 0.234295i | ||||
\(353\) | 6.61649 | − | 6.61649i | 0.352160 | − | 0.352160i | −0.508752 | − | 0.860913i | \(-0.669893\pi\) |
0.860913 | + | 0.508752i | \(0.169893\pi\) | |||||||
\(354\) | 0.636139 | + | 1.28059i | 0.0338104 | + | 0.0680627i | ||||
\(355\) | 24.5695i | 1.30401i | ||||||||
\(356\) | −5.02101 | + | 5.02101i | −0.266113 | + | 0.266113i | ||||
\(357\) | 3.06489 | + | 2.42937i | 0.162211 | + | 0.128576i | ||||
\(358\) | 4.42527 | + | 16.5153i | 0.233883 | + | 0.872863i | ||||
\(359\) | 9.54536 | − | 35.6238i | 0.503785 | − | 1.88015i | 0.0299221 | − | 0.999552i | \(-0.490474\pi\) |
0.473863 | − | 0.880599i | \(-0.342859\pi\) | |||||||
\(360\) | 4.84188 | + | 0.608912i | 0.255189 | + | 0.0320925i | ||||
\(361\) | 12.3755i | 0.651343i | ||||||||
\(362\) | 10.0219 | − | 2.68537i | 0.526741 | − | 0.141140i | ||||
\(363\) | −22.9014 | + | 11.3764i | −1.20201 | + | 0.597104i | ||||
\(364\) | 5.05093 | + | 8.09247i | 0.264741 | + | 0.424161i | ||||
\(365\) | − | 17.7890i | − | 0.931118i | ||||||
\(366\) | 7.60364 | − | 6.70730i | 0.397448 | − | 0.350596i | ||||
\(367\) | −33.7117 | −1.75974 | −0.879868 | − | 0.475218i | \(-0.842369\pi\) | ||||
−0.879868 | + | 0.475218i | \(0.842369\pi\) | |||||||
\(368\) | 1.24829 | + | 2.16211i | 0.0650718 | + | 0.112708i | ||||
\(369\) | −5.08805 | + | 3.95127i | −0.264873 | + | 0.205695i | ||||
\(370\) | −8.63494 | + | 2.31372i | −0.448909 | + | 0.120285i | ||||
\(371\) | −17.3828 | + | 24.9938i | −0.902471 | + | 1.29762i | ||||
\(372\) | −9.38207 | − | 3.15449i | −0.486438 | − | 0.163552i | ||||
\(373\) | −20.1797 | −1.04486 | −0.522432 | − | 0.852681i | \(-0.674975\pi\) | ||||
−0.522432 | + | 0.852681i | \(0.674975\pi\) | |||||||
\(374\) | 4.33185 | 0.223995 | ||||||||
\(375\) | −6.60319 | + | 19.6392i | −0.340987 | + | 1.01416i | ||||
\(376\) | −6.48447 | + | 3.74381i | −0.334411 | + | 0.193072i | ||||
\(377\) | 16.6369 | − | 12.4408i | 0.856846 | − | 0.640733i | ||||
\(378\) | 13.7470 | + | 0.136712i | 0.707072 | + | 0.00703170i | ||||
\(379\) | 2.45073 | − | 9.14625i | 0.125886 | − | 0.469811i | −0.873984 | − | 0.485954i | \(-0.838472\pi\) |
0.999870 | + | 0.0161431i | \(0.00513874\pi\) | |||||||
\(380\) | 7.89089 | + | 4.55581i | 0.404794 | + | 0.233708i | ||||
\(381\) | 11.4145 | + | 7.57919i | 0.584784 | + | 0.388293i | ||||
\(382\) | 10.1225 | − | 2.71231i | 0.517912 | − | 0.138774i | ||||
\(383\) | 15.5349 | − | 15.5349i | 0.793794 | − | 0.793794i | −0.188314 | − | 0.982109i | \(-0.560302\pi\) |
0.982109 | + | 0.188314i | \(0.0603024\pi\) | |||||||
\(384\) | 1.14579 | + | 1.29891i | 0.0584709 | + | 0.0662847i | ||||
\(385\) | −19.7689 | + | 9.29495i | −1.00752 | + | 0.473715i | ||||
\(386\) | −2.64358 | − | 1.52627i | −0.134555 | − | 0.0776851i | ||||
\(387\) | −35.9132 | + | 15.1202i | −1.82557 | + | 0.768604i | ||||
\(388\) | 10.9330 | − | 10.9330i | 0.555040 | − | 0.555040i | ||||
\(389\) | 1.09507 | − | 1.89671i | 0.0555220 | − | 0.0961669i | −0.836929 | − | 0.547312i | \(-0.815651\pi\) |
0.892451 | + | 0.451145i | \(0.148984\pi\) | |||||||
\(390\) | −8.49989 | + | 5.56312i | −0.430409 | + | 0.281700i | ||||
\(391\) | −2.13067 | −0.107753 | ||||||||
\(392\) | −4.05138 | − | 5.70844i | −0.204626 | − | 0.288320i | ||||
\(393\) | 11.0008 | + | 7.30446i | 0.554917 | + | 0.368461i | ||||
\(394\) | − | 22.1557i | − | 1.11619i | ||||||
\(395\) | 5.08569 | + | 18.9800i | 0.255889 | + | 0.954989i | ||||
\(396\) | 12.0267 | − | 9.33971i | 0.604367 | − | 0.469338i | ||||
\(397\) | 7.44654 | − | 7.44654i | 0.373731 | − | 0.373731i | −0.495103 | − | 0.868834i | \(-0.664870\pi\) |
0.868834 | + | 0.495103i | \(0.164870\pi\) | |||||||
\(398\) | −3.50595 | − | 3.50595i | −0.175737 | − | 0.175737i | ||||
\(399\) | 23.5573 | + | 10.1951i | 1.17934 | + | 0.510393i | ||||
\(400\) | −2.03857 | + | 1.17697i | −0.101929 | + | 0.0588484i | ||||
\(401\) | −23.6965 | + | 6.34945i | −1.18335 | + | 0.317077i | −0.796253 | − | 0.604964i | \(-0.793187\pi\) |
−0.387093 | + | 0.922041i | \(0.626521\pi\) | |||||||
\(402\) | −21.1968 | − | 1.32762i | −1.05720 | − | 0.0662156i | ||||
\(403\) | 19.1327 | − | 7.64806i | 0.953069 | − | 0.380977i | ||||
\(404\) | −1.83647 | + | 1.06029i | −0.0913678 | + | 0.0527512i | ||||
\(405\) | 0.169735 | + | 14.6391i | 0.00843418 | + | 0.727421i | ||||
\(406\) | −11.6464 | + | 9.83569i | −0.578000 | + | 0.488137i | ||||
\(407\) | −13.9473 | + | 24.1574i | −0.691340 | + | 1.19744i | ||||
\(408\) | −1.44895 | + | 0.292582i | −0.0717335 | + | 0.0144850i | ||||
\(409\) | 1.20975 | − | 4.51486i | 0.0598184 | − | 0.223245i | −0.929545 | − | 0.368708i | \(-0.879800\pi\) |
0.989364 | + | 0.145462i | \(0.0464670\pi\) | |||||||
\(410\) | −0.904072 | + | 3.37404i | −0.0446489 | + | 0.166632i | ||||
\(411\) | −12.2866 | + | 2.48100i | −0.606053 | + | 0.122379i | ||||
\(412\) | 1.40573 | − | 2.43480i | 0.0692556 | − | 0.119954i | ||||
\(413\) | 2.05483 | + | 0.740515i | 0.101112 | + | 0.0364384i | ||||
\(414\) | −5.91550 | + | 4.59385i | −0.290731 | + | 0.225775i | ||||
\(415\) | −6.34383 | + | 3.66261i | −0.311407 | + | 0.179791i | ||||
\(416\) | −3.56858 | − | 0.514977i | −0.174964 | − | 0.0252488i | ||||
\(417\) | 7.70833 | + | 0.482796i | 0.377479 | + | 0.0236426i | ||||
\(418\) | 27.4627 | − | 7.35860i | 1.34324 | − | 0.359921i | ||||
\(419\) | 17.5508 | − | 10.1330i | 0.857413 | − | 0.495028i | −0.00573204 | − | 0.999984i | \(-0.501825\pi\) |
0.863145 | + | 0.504956i | \(0.168491\pi\) | |||||||
\(420\) | 5.98463 | − | 4.44427i | 0.292020 | − | 0.216858i | ||||
\(421\) | 6.81033 | + | 6.81033i | 0.331915 | + | 0.331915i | 0.853313 | − | 0.521398i | \(-0.174589\pi\) |
−0.521398 | + | 0.853313i | \(0.674589\pi\) | |||||||
\(422\) | −3.76589 | + | 3.76589i | −0.183321 | + | 0.183321i | ||||
\(423\) | −13.7776 | − | 17.7414i | −0.669890 | − | 0.862617i | ||||
\(424\) | −2.97819 | − | 11.1148i | −0.144634 | − | 0.539781i | ||||
\(425\) | − | 2.00893i | − | 0.0974475i | ||||||
\(426\) | −21.7943 | − | 14.4713i | −1.05594 | − | 0.701135i | ||||
\(427\) | 1.30084 | − | 15.4331i | 0.0629520 | − | 0.746862i | ||||
\(428\) | 12.1409 | 0.586852 | ||||||||
\(429\) | −6.47975 | + | 31.0289i | −0.312845 | + | 1.49809i | ||||
\(430\) | −10.5643 | + | 18.2978i | −0.509453 | + | 0.882399i | ||||
\(431\) | −4.02736 | + | 4.02736i | −0.193991 | + | 0.193991i | −0.797418 | − | 0.603427i | \(-0.793801\pi\) |
0.603427 | + | 0.797418i | \(0.293801\pi\) | |||||||
\(432\) | −3.39196 | + | 3.93632i | −0.163196 | + | 0.189386i | ||||
\(433\) | −29.1233 | − | 16.8144i | −1.39958 | − | 0.808047i | −0.405230 | − | 0.914215i | \(-0.632808\pi\) |
−0.994348 | + | 0.106168i | \(0.966142\pi\) | |||||||
\(434\) | −13.6828 | + | 6.43337i | −0.656793 | + | 0.308812i | ||||
\(435\) | −10.7388 | − | 12.1739i | −0.514884 | − | 0.583692i | ||||
\(436\) | 5.12226 | − | 5.12226i | 0.245312 | − | 0.245312i | ||||
\(437\) | −13.5078 | + | 3.61942i | −0.646168 | + | 0.173140i | ||||
\(438\) | 15.7796 | + | 10.4776i | 0.753980 | + | 0.500638i | ||||
\(439\) | −1.21368 | − | 0.700720i | −0.0579259 | − | 0.0334436i | 0.470757 | − | 0.882263i | \(-0.343981\pi\) |
−0.528683 | + | 0.848819i | \(0.677314\pi\) | |||||||
\(440\) | 2.13698 | − | 7.97531i | 0.101876 | − | 0.380208i | ||||
\(441\) | 15.3093 | − | 14.3745i | 0.729015 | − | 0.684498i | ||||
\(442\) | 1.90339 | − | 2.41778i | 0.0905352 | − | 0.115002i | ||||
\(443\) | −16.1647 | + | 9.33267i | −0.768007 | + | 0.443409i | −0.832163 | − | 0.554531i | \(-0.812898\pi\) |
0.0641565 | + | 0.997940i | \(0.479564\pi\) | |||||||
\(444\) | 3.03354 | − | 9.02234i | 0.143965 | − | 0.428181i | ||||
\(445\) | −11.5506 | −0.547553 | ||||||||
\(446\) | −10.5331 | −0.498757 | ||||||||
\(447\) | 20.1613 | + | 6.77872i | 0.953595 | + | 0.320622i | ||||
\(448\) | 2.63640 | + | 0.222219i | 0.124558 | + | 0.0104989i | ||||
\(449\) | 13.6899 | − | 3.66820i | 0.646066 | − | 0.173113i | 0.0791167 | − | 0.996865i | \(-0.474790\pi\) |
0.566950 | + | 0.823752i | \(0.308123\pi\) | |||||||
\(450\) | −4.33137 | − | 5.57750i | −0.204183 | − | 0.262926i | ||||
\(451\) | 5.44980 | + | 9.43932i | 0.256621 | + | 0.444480i | ||||
\(452\) | 11.1498 | 0.524443 | ||||||||
\(453\) | −0.0735482 | + | 0.0648781i | −0.00345560 | + | 0.00304824i | ||||
\(454\) | − | 4.04124i | − | 0.189665i | ||||||
\(455\) | −3.49848 | + | 15.1179i | −0.164011 | + | 0.708740i | ||||
\(456\) | −8.68888 | + | 4.31624i | −0.406894 | + | 0.202126i | ||||
\(457\) | 1.91652 | − | 0.513530i | 0.0896510 | − | 0.0240219i | −0.213715 | − | 0.976896i | \(-0.568556\pi\) |
0.303366 | + | 0.952874i | \(0.401890\pi\) | |||||||
\(458\) | 6.12472i | 0.286190i | ||||||||
\(459\) | −1.46191 | − | 4.18668i | −0.0682360 | − | 0.195417i | ||||
\(460\) | −1.05110 | + | 3.92275i | −0.0490077 | + | 0.182899i | ||||
\(461\) | 3.48234 | + | 12.9963i | 0.162189 | + | 0.605297i | 0.998382 | + | 0.0568621i | \(0.0181095\pi\) |
−0.836193 | + | 0.548435i | \(0.815224\pi\) | |||||||
\(462\) | 3.39869 | − | 23.0106i | 0.158121 | − | 1.07055i | ||||
\(463\) | −25.6449 | + | 25.6449i | −1.19182 | + | 1.19182i | −0.215266 | + | 0.976555i | \(0.569062\pi\) |
−0.976555 | + | 0.215266i | \(0.930938\pi\) | |||||||
\(464\) | − | 5.76168i | − | 0.267479i | ||||||
\(465\) | −7.16316 | − | 14.4199i | −0.332184 | − | 0.668708i | ||||
\(466\) | −8.89480 | + | 8.89480i | −0.412044 | + | 0.412044i | ||||
\(467\) | −5.68598 | − | 9.84841i | −0.263116 | − | 0.455730i | 0.703952 | − | 0.710247i | \(-0.251417\pi\) |
−0.967068 | + | 0.254517i | \(0.918083\pi\) | |||||||
\(468\) | 0.0716318 | − | 10.8164i | 0.00331118 | − | 0.499989i | ||||
\(469\) | −24.7857 | + | 20.9322i | −1.14450 | + | 0.966559i | ||||
\(470\) | −11.7649 | − | 3.15239i | −0.542673 | − | 0.145409i | ||||
\(471\) | −7.02744 | − | 0.440150i | −0.323807 | − | 0.0202810i | ||||
\(472\) | −0.714946 | + | 0.412774i | −0.0329080 | + | 0.0189995i | ||||
\(473\) | 17.0635 | + | 63.6819i | 0.784581 | + | 2.92810i | ||||
\(474\) | −19.8316 | − | 6.66787i | −0.910894 | − | 0.306265i | ||||
\(475\) | −3.41261 | − | 12.7360i | −0.156581 | − | 0.584369i | ||||
\(476\) | −1.28924 | + | 1.85373i | −0.0590922 | + | 0.0849656i | ||||
\(477\) | 31.8157 | − | 13.3951i | 1.45674 | − | 0.613320i | ||||
\(478\) | 17.4940 | + | 10.1002i | 0.800159 | + | 0.461972i | ||||
\(479\) | −3.25970 | − | 3.25970i | −0.148939 | − | 0.148939i | 0.628705 | − | 0.777644i | \(-0.283585\pi\) |
−0.777644 | + | 0.628705i | \(0.783585\pi\) | |||||||
\(480\) | −0.176122 | + | 2.81197i | −0.00803884 | + | 0.128348i | ||||
\(481\) | 7.35481 | + | 18.3991i | 0.335351 | + | 0.838928i | ||||
\(482\) | − | 23.6500i | − | 1.07723i | ||||||
\(483\) | −1.67169 | + | 11.3180i | −0.0760644 | + | 0.514987i | ||||
\(484\) | −7.38182 | − | 12.7857i | −0.335537 | − | 0.581168i | ||||
\(485\) | 25.1510 | 1.14205 | ||||||||
\(486\) | −13.0855 | − | 8.47174i | −0.593569 | − | 0.384286i | ||||
\(487\) | 2.40006 | − | 8.95714i | 0.108757 | − | 0.405887i | −0.889987 | − | 0.455985i | \(-0.849287\pi\) |
0.998744 | + | 0.0500987i | \(0.0159536\pi\) | |||||||
\(488\) | 4.13931 | + | 4.13931i | 0.187378 | + | 0.187378i | ||||
\(489\) | −16.7159 | − | 5.62031i | −0.755921 | − | 0.254159i | ||||
\(490\) | 1.90600 | − | 11.2261i | 0.0861043 | − | 0.507141i | ||||
\(491\) | −13.9676 | − | 24.1925i | −0.630347 | − | 1.09179i | −0.987481 | − | 0.157739i | \(-0.949579\pi\) |
0.357134 | − | 0.934053i | \(-0.383754\pi\) | |||||||
\(492\) | −2.46043 | − | 2.78924i | −0.110925 | − | 0.125748i | ||||
\(493\) | 4.25844 | + | 2.45861i | 0.191790 | + | 0.110730i | ||||
\(494\) | 7.95984 | − | 18.5613i | 0.358130 | − | 0.835113i | ||||
\(495\) | 24.5764 | + | 3.09071i | 1.10463 | + | 0.138917i | ||||
\(496\) | 1.47908 | − | 5.51999i | 0.0664126 | − | 0.247855i | ||||
\(497\) | −39.3325 | + | 7.06428i | −1.76430 | + | 0.316876i | ||||
\(498\) | 0.487568 | − | 7.78452i | 0.0218484 | − | 0.348833i | ||||
\(499\) | 1.30997 | − | 4.88887i | 0.0586423 | − | 0.218856i | −0.930386 | − | 0.366581i | \(-0.880528\pi\) |
0.989029 | + | 0.147725i | \(0.0471950\pi\) | |||||||
\(500\) | −11.5548 | − | 3.09611i | −0.516748 | − | 0.138462i | ||||
\(501\) | 19.0173 | − | 3.84012i | 0.849631 | − | 0.171564i | ||||
\(502\) | 1.49403 | + | 0.400323i | 0.0666816 | + | 0.0178673i | ||||
\(503\) | 19.2261 | + | 11.1002i | 0.857248 | + | 0.494932i | 0.863090 | − | 0.505051i | \(-0.168526\pi\) |
−0.00584193 | + | 0.999983i | \(0.501860\pi\) | |||||||
\(504\) | 0.417361 | + | 7.92627i | 0.0185907 | + | 0.353064i | ||||
\(505\) | −3.33194 | − | 0.892791i | −0.148269 | − | 0.0397287i | ||||
\(506\) | 6.33608 | + | 10.9744i | 0.281673 | + | 0.487872i | ||||
\(507\) | 14.4713 | + | 17.2506i | 0.642693 | + | 0.766124i | ||||
\(508\) | −3.95533 | + | 6.85083i | −0.175489 | + | 0.303957i | ||||
\(509\) | −6.72166 | − | 25.0856i | −0.297932 | − | 1.11190i | −0.938861 | − | 0.344298i | \(-0.888117\pi\) |
0.640928 | − | 0.767601i | \(-0.278550\pi\) | |||||||
\(510\) | −2.00316 | − | 1.33009i | −0.0887014 | − | 0.0588972i | ||||
\(511\) | 28.4778 | − | 5.11473i | 1.25978 | − | 0.226262i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −16.3801 | − | 24.0589i | −0.723197 | − | 1.06223i | ||||
\(514\) | 6.65497 | + | 1.78319i | 0.293538 | + | 0.0786533i | ||||
\(515\) | 4.41751 | − | 1.18367i | 0.194659 | − | 0.0521586i | ||||
\(516\) | −10.0087 | − | 20.1482i | −0.440609 | − | 0.886977i | ||||
\(517\) | −32.9138 | + | 19.0028i | −1.44755 | + | 0.835742i | ||||
\(518\) | −6.18670 | − | 13.1581i | −0.271828 | − | 0.578135i | ||||
\(519\) | −9.20291 | − | 18.5261i | −0.403963 | − | 0.813205i | ||||
\(520\) | −3.51235 | − | 4.69704i | −0.154027 | − | 0.205979i | ||||
\(521\) | −24.5520 | − | 14.1751i | −1.07564 | − | 0.621021i | −0.145923 | − | 0.989296i | \(-0.546615\pi\) |
−0.929717 | + | 0.368275i | \(0.879949\pi\) | |||||||
\(522\) | 17.1238 | − | 2.35546i | 0.749489 | − | 0.103096i | ||||
\(523\) | 21.0465 | − | 36.4536i | 0.920299 | − | 1.59400i | 0.121346 | − | 0.992610i | \(-0.461279\pi\) |
0.798953 | − | 0.601394i | \(-0.205388\pi\) | |||||||
\(524\) | −3.81196 | + | 6.60251i | −0.166526 | + | 0.288432i | ||||
\(525\) | −10.6713 | − | 1.57617i | −0.465735 | − | 0.0687897i | ||||
\(526\) | −5.09956 | + | 1.36642i | −0.222351 | + | 0.0595788i | ||||
\(527\) | 3.44866 | + | 3.44866i | 0.150226 | + | 0.150226i | ||||
\(528\) | 5.81579 | + | 6.59299i | 0.253100 | + | 0.286923i | ||||
\(529\) | 8.38353 | + | 14.5207i | 0.364501 | + | 0.631334i | ||||
\(530\) | 9.35894 | − | 16.2102i | 0.406527 | − | 0.704125i | ||||
\(531\) | −1.51905 | − | 1.95608i | −0.0659212 | − | 0.0848867i | ||||
\(532\) | −5.02443 | + | 13.9422i | −0.217837 | + | 0.604469i | ||||
\(533\) | 7.66307 | + | 1.10585i | 0.331924 | + | 0.0478995i | ||||
\(534\) | 6.80324 | − | 10.2459i | 0.294405 | − | 0.443385i | ||||
\(535\) | 13.9648 | + | 13.9648i | 0.603752 | + | 0.603752i | ||||
\(536\) | − | 12.2620i | − | 0.529636i | ||||||
\(537\) | −13.1751 | − | 26.5224i | −0.568547 | − | 1.14452i | ||||
\(538\) | 13.4701 | + | 13.4701i | 0.580737 | + | 0.580737i | ||||
\(539\) | −20.5640 | − | 28.9748i | −0.885753 | − | 1.24804i | ||||
\(540\) | −8.42921 | + | 0.626135i | −0.362736 | + | 0.0269446i | ||||
\(541\) | 0.688861 | + | 0.184580i | 0.0296164 | + | 0.00793570i | 0.273597 | − | 0.961844i | \(-0.411787\pi\) |
−0.243980 | + | 0.969780i | \(0.578453\pi\) | |||||||
\(542\) | 0.222531 | − | 0.128478i | 0.00955853 | − | 0.00551862i | ||||
\(543\) | −16.0945 | + | 7.99499i | −0.690679 | + | 0.343098i | ||||
\(544\) | −0.220885 | − | 0.824354i | −0.00947037 | − | 0.0353439i | ||||
\(545\) | 11.7836 | 0.504752 | ||||||||
\(546\) | −11.3497 | − | 12.0077i | −0.485723 | − | 0.513880i | ||||
\(547\) | 3.36783 | 0.143998 | 0.0719990 | − | 0.997405i | \(-0.477062\pi\) | ||||
0.0719990 | + | 0.997405i | \(0.477062\pi\) | |||||||
\(548\) | −1.87303 | − | 6.99026i | −0.0800120 | − | 0.298609i | ||||
\(549\) | −10.6099 | + | 13.9943i | −0.452818 | + | 0.597262i | ||||
\(550\) | −10.3474 | + | 5.97405i | −0.441213 | + | 0.254734i | ||||
\(551\) | 31.1737 | + | 8.35297i | 1.32804 | + | 0.355849i | ||||
\(552\) | −2.86057 | − | 3.24284i | −0.121754 | − | 0.138024i | ||||
\(553\) | −28.9223 | + | 13.5987i | −1.22990 | + | 0.578275i | ||||
\(554\) | 0.993649 | + | 0.993649i | 0.0422161 | + | 0.0422161i | ||||
\(555\) | 13.8670 | − | 6.88851i | 0.588623 | − | 0.292401i | ||||
\(556\) | 4.45913i | 0.189109i | ||||||||
\(557\) | −1.12258 | − | 1.12258i | −0.0475654 | − | 0.0475654i | 0.682924 | − | 0.730489i | \(-0.260708\pi\) |
−0.730489 | + | 0.682924i | \(0.760708\pi\) | |||||||
\(558\) | 17.0102 | + | 2.13919i | 0.720098 | + | 0.0905591i | ||||
\(559\) | 43.0410 | + | 18.4577i | 1.82044 | + | 0.780677i | ||||
\(560\) | 2.77687 | + | 3.28807i | 0.117344 | + | 0.138947i | ||||
\(561\) | −7.35455 | + | 1.48508i | −0.310509 | + | 0.0627003i | ||||
\(562\) | 12.9415 | − | 22.4153i | 0.545902 | − | 0.945531i | ||||
\(563\) | 4.86152 | + | 8.42039i | 0.204889 | + | 0.354877i | 0.950097 | − | 0.311954i | \(-0.100983\pi\) |
−0.745209 | + | 0.666831i | \(0.767650\pi\) | |||||||
\(564\) | 9.72573 | − | 8.57924i | 0.409527 | − | 0.361251i | ||||
\(565\) | 12.8249 | + | 12.8249i | 0.539546 | + | 0.539546i | ||||
\(566\) | −23.2096 | + | 6.21900i | −0.975573 | + | 0.261404i | ||||
\(567\) | −23.3864 | + | 4.48078i | −0.982136 | + | 0.188175i | ||||
\(568\) | 7.55208 | − | 13.0806i | 0.316878 | − | 0.548849i | ||||
\(569\) | 11.1191 | − | 19.2589i | 0.466138 | − | 0.807374i | −0.533114 | − | 0.846043i | \(-0.678978\pi\) |
0.999252 | + | 0.0386691i | \(0.0123118\pi\) | |||||||
\(570\) | −14.9589 | − | 5.02955i | −0.626559 | − | 0.210665i | ||||
\(571\) | 0.631338 | + | 0.364503i | 0.0264207 | + | 0.0152540i | 0.513152 | − | 0.858298i | \(-0.328478\pi\) |
−0.486731 | + | 0.873552i | \(0.661811\pi\) | |||||||
\(572\) | −18.1134 | − | 2.61392i | −0.757359 | − | 0.109293i | ||||
\(573\) | −16.2559 | + | 8.07520i | −0.679101 | + | 0.337346i | ||||
\(574\) | −5.66133 | − | 0.477186i | −0.236299 | − | 0.0199174i | ||||
\(575\) | 5.08947 | − | 2.93841i | 0.212246 | − | 0.122540i | ||||
\(576\) | −2.39061 | − | 1.81246i | −0.0996086 | − | 0.0755190i | ||||
\(577\) | −40.9337 | + | 10.9682i | −1.70409 | + | 0.456610i | −0.973965 | − | 0.226700i | \(-0.927206\pi\) |
−0.730128 | + | 0.683310i | \(0.760540\pi\) | |||||||
\(578\) | −15.7172 | − | 4.21141i | −0.653750 | − | 0.175172i | ||||
\(579\) | 5.01147 | + | 1.68498i | 0.208270 | + | 0.0700254i | ||||
\(580\) | 6.62726 | − | 6.62726i | 0.275182 | − | 0.275182i | ||||
\(581\) | −7.68735 | − | 9.10255i | −0.318925 | − | 0.377637i | ||||
\(582\) | −14.8137 | + | 22.3101i | −0.614049 | + | 0.924781i | ||||
\(583\) | −15.1167 | − | 56.4163i | −0.626069 | − | 2.33652i | ||||
\(584\) | −5.46791 | + | 9.47070i | −0.226264 | + | 0.391900i | ||||
\(585\) | 12.5238 | − | 12.3590i | 0.517794 | − | 0.510981i | ||||
\(586\) | 6.36456 | + | 11.0237i | 0.262918 | + | 0.455387i | ||||
\(587\) | 26.7015 | + | 7.15465i | 1.10209 | + | 0.295304i | 0.763615 | − | 0.645672i | \(-0.223422\pi\) |
0.338474 | + | 0.940976i | \(0.390089\pi\) | |||||||
\(588\) | 8.83539 | + | 8.30277i | 0.364365 | + | 0.342400i | ||||
\(589\) | 27.7218 | + | 16.0052i | 1.14226 | + | 0.659482i | ||||
\(590\) | −1.29714 | − | 0.347567i | −0.0534023 | − | 0.0143091i | ||||
\(591\) | 7.59563 | + | 37.6157i | 0.312442 | + | 1.54730i | ||||
\(592\) | 5.30835 | + | 1.42237i | 0.218172 | + | 0.0584589i | ||||
\(593\) | −6.42316 | + | 23.9716i | −0.263768 | + | 0.984394i | 0.699233 | + | 0.714894i | \(0.253525\pi\) |
−0.963000 | + | 0.269500i | \(0.913142\pi\) | |||||||
\(594\) | −17.2169 | + | 19.9799i | −0.706417 | + | 0.819786i | ||||
\(595\) | −3.61514 | + | 0.649294i | −0.148206 | + | 0.0266185i | ||||
\(596\) | −3.17841 | + | 11.8620i | −0.130193 | + | 0.485886i | ||||
\(597\) | 7.15429 | + | 4.75041i | 0.292806 | + | 0.194421i | ||||
\(598\) | 8.90929 | + | 1.28569i | 0.364328 | + | 0.0525756i | ||||
\(599\) | −13.1943 | − | 7.61771i | −0.539103 | − | 0.311251i | 0.205612 | − | 0.978634i | \(-0.434081\pi\) |
−0.744715 | + | 0.667382i | \(0.767415\pi\) | |||||||
\(600\) | 3.05755 | − | 2.69712i | 0.124824 | − | 0.110109i | ||||
\(601\) | 4.51090 | + | 7.81311i | 0.184004 | + | 0.318703i | 0.943240 | − | 0.332111i | \(-0.107761\pi\) |
−0.759237 | + | 0.650815i | \(0.774428\pi\) | |||||||
\(602\) | −32.3298 | − | 11.6509i | −1.31766 | − | 0.474856i | ||||
\(603\) | 36.4427 | − | 5.01286i | 1.48406 | − | 0.204140i | ||||
\(604\) | −0.0400385 | − | 0.0400385i | −0.00162915 | − | 0.00162915i | ||||
\(605\) | 6.21570 | − | 23.1973i | 0.252704 | − | 0.943104i | ||||
\(606\) | 2.75443 | − | 2.42973i | 0.111891 | − | 0.0987011i | ||||
\(607\) | −36.4750 | −1.48047 | −0.740237 | − | 0.672347i | \(-0.765286\pi\) | ||||
−0.740237 | + | 0.672347i | \(0.765286\pi\) | |||||||
\(608\) | −2.80069 | − | 4.85094i | −0.113583 | − | 0.196732i | ||||
\(609\) | 16.4011 | − | 20.6916i | 0.664605 | − | 0.838465i | ||||
\(610\) | 9.52232i | 0.385547i | ||||||||
\(611\) | −3.85595 | + | 26.7202i | −0.155995 | + | 1.08098i | ||||
\(612\) | 2.35969 | − | 0.993481i | 0.0953849 | − | 0.0401591i | ||||
\(613\) | −3.60295 | − | 3.60295i | −0.145522 | − | 0.145522i | 0.630592 | − | 0.776114i | \(-0.282812\pi\) |
−0.776114 | + | 0.630592i | \(0.782812\pi\) | |||||||
\(614\) | −8.21750 | − | 4.74438i | −0.331632 | − | 0.191468i | ||||
\(615\) | 0.378199 | − | 6.03833i | 0.0152505 | − | 0.243489i | ||||
\(616\) | 13.3818 | + | 1.12794i | 0.539169 | + | 0.0454459i | ||||
\(617\) | −0.366038 | − | 1.36607i | −0.0147361 | − | 0.0549960i | 0.958166 | − | 0.286212i | \(-0.0923962\pi\) |
−0.972902 | + | 0.231216i | \(0.925730\pi\) | |||||||
\(618\) | −1.55191 | + | 4.61570i | −0.0624271 | + | 0.185671i | ||||
\(619\) | −0.0248681 | − | 0.0928089i | −0.000999532 | − | 0.00373031i | 0.965424 | − | 0.260684i | \(-0.0839480\pi\) |
−0.966424 | + | 0.256953i | \(0.917281\pi\) | |||||||
\(620\) | 8.05055 | − | 4.64799i | 0.323318 | − | 0.186668i | ||||
\(621\) | 8.46833 | − | 9.82736i | 0.339822 | − | 0.394358i | ||||
\(622\) | −12.8682 | − | 3.44801i | −0.515966 | − | 0.138253i | ||||
\(623\) | −3.32106 | − | 18.4910i | −0.133056 | − | 0.740827i | ||||
\(624\) | 6.23523 | − | 0.349094i | 0.249609 | − | 0.0139749i | ||||
\(625\) | −3.84464 | − | 6.65912i | −0.153786 | − | 0.266365i | ||||
\(626\) | 18.3442 | − | 18.3442i | 0.733183 | − | 0.733183i | ||||
\(627\) | −44.1029 | + | 21.9083i | −1.76130 | + | 0.874934i | ||||
\(628\) | − | 4.06525i | − | 0.162221i | ||||||
\(629\) | −3.31643 | + | 3.31643i | −0.132235 | + | 0.132235i | ||||
\(630\) | −8.63698 | + | 9.59711i | −0.344106 | + | 0.382358i | ||||
\(631\) | −2.23294 | − | 8.33346i | −0.0888921 | − | 0.331750i | 0.907131 | − | 0.420849i | \(-0.138268\pi\) |
−0.996023 | + | 0.0890992i | \(0.971601\pi\) | |||||||
\(632\) | 3.12644 | − | 11.6680i | 0.124363 | − | 0.464129i | ||||
\(633\) | 5.10261 | − | 7.68473i | 0.202811 | − | 0.305440i | ||||
\(634\) | − | 5.47680i | − | 0.217512i | ||||||
\(635\) | −12.4296 | + | 3.33050i | −0.493253 | + | 0.132167i | ||||
\(636\) | 8.86679 | + | 17.8495i | 0.351591 | + | 0.707777i | ||||
\(637\) | −25.2077 | − | 1.25384i | −0.998765 | − | 0.0496791i | ||||
\(638\) | − | 29.2451i | − | 1.15782i | ||||||
\(639\) | 41.9631 | + | 17.0974i | 1.66003 | + | 0.676361i | ||||
\(640\) | −1.62667 | −0.0642999 | ||||||||
\(641\) | −19.3095 | − | 33.4451i | −0.762680 | − | 1.32100i | −0.941465 | − | 0.337112i | \(-0.890550\pi\) |
0.178785 | − | 0.983888i | \(-0.442783\pi\) | |||||||
\(642\) | −20.6126 | + | 4.16225i | −0.813515 | + | 0.164271i | ||||
\(643\) | −11.1923 | + | 2.99896i | −0.441380 | + | 0.118268i | −0.472663 | − | 0.881243i | \(-0.656707\pi\) |
0.0312830 | + | 0.999511i | \(0.490041\pi\) | |||||||
\(644\) | −6.58201 | − | 0.554789i | −0.259368 | − | 0.0218617i | ||||
\(645\) | 11.6628 | − | 34.6875i | 0.459222 | − | 1.36582i | ||||
\(646\) | 4.78041 | 0.188083 | ||||||||
\(647\) | 45.7488 | 1.79857 | 0.899285 | − | 0.437363i | \(-0.144087\pi\) | ||||
0.899285 | + | 0.437363i | \(0.144087\pi\) | |||||||
\(648\) | 4.40933 | − | 7.84588i | 0.173215 | − | 0.308215i | ||||
\(649\) | −3.62891 | + | 2.09515i | −0.142447 | + | 0.0822420i | ||||
\(650\) | −1.21222 | + | 8.40023i | −0.0475474 | + | 0.329484i | ||||
\(651\) | 21.0248 | − | 15.6133i | 0.824027 | − | 0.611934i | ||||
\(652\) | 2.63526 | − | 9.83491i | 0.103205 | − | 0.385165i | ||||
\(653\) | 12.8154 | + | 7.39900i | 0.501507 | + | 0.289545i | 0.729336 | − | 0.684156i | \(-0.239829\pi\) |
−0.227829 | + | 0.973701i | \(0.573163\pi\) | |||||||
\(654\) | −6.94042 | + | 10.4525i | −0.271392 | + | 0.408727i | ||||
\(655\) | −11.9791 | + | 3.20978i | −0.468060 | + | 0.125416i | ||||
\(656\) | 1.51842 | − | 1.51842i | 0.0592843 | − | 0.0592843i | ||||
\(657\) | −30.3824 | − | 12.3790i | −1.18533 | − | 0.482949i | ||||
\(658\) | 1.66389 | − | 19.7404i | 0.0648652 | − | 0.769560i | ||||
\(659\) | 32.1017 | + | 18.5340i | 1.25051 | + | 0.721980i | 0.971210 | − | 0.238225i | \(-0.0765655\pi\) |
0.279296 | + | 0.960205i | \(0.409899\pi\) | |||||||
\(660\) | −0.893959 | + | 14.2730i | −0.0347973 | + | 0.555574i | ||||
\(661\) | −6.70536 | + | 6.70536i | −0.260808 | + | 0.260808i | −0.825382 | − | 0.564574i | \(-0.809040\pi\) |
0.564574 | + | 0.825382i | \(0.309040\pi\) | |||||||
\(662\) | −1.21170 | + | 2.09872i | −0.0470940 | + | 0.0815692i | ||||
\(663\) | −2.40267 | + | 4.75740i | −0.0933119 | + | 0.184762i | ||||
\(664\) | 4.50320 | 0.174758 | ||||||||
\(665\) | −21.8160 | + | 10.2574i | −0.845986 | + | 0.397766i | ||||
\(666\) | −2.05717 | + | 16.3580i | −0.0797136 | + | 0.633858i | ||||
\(667\) | 14.3845i | 0.556972i | ||||||||
\(668\) | 2.89910 | + | 10.8196i | 0.112170 | + | 0.418622i | ||||
\(669\) | 17.8829 | − | 3.61105i | 0.691394 | − | 0.139611i | ||||
\(670\) | 14.1041 | − | 14.1041i | 0.544888 | − | 0.544888i | ||||
\(671\) | 21.0102 | + | 21.0102i | 0.811092 | + | 0.811092i | ||||
\(672\) | −4.55222 | + | 0.526555i | −0.175606 | + | 0.0203123i | ||||
\(673\) | −5.16640 | + | 2.98282i | −0.199150 | + | 0.114979i | −0.596259 | − | 0.802792i | \(-0.703347\pi\) |
0.397109 | + | 0.917772i | \(0.370014\pi\) | |||||||
\(674\) | −7.30763 | + | 1.95807i | −0.281479 | + | 0.0754221i | ||||
\(675\) | 9.26585 | + | 7.98447i | 0.356643 | + | 0.307322i | ||||
\(676\) | −9.41786 | + | 8.96125i | −0.362225 | + | 0.344663i | ||||
\(677\) | 6.02868 | − | 3.48066i | 0.231701 | − | 0.133773i | −0.379655 | − | 0.925128i | \(-0.623957\pi\) |
0.611357 | + | 0.791355i | \(0.290624\pi\) | |||||||
\(678\) | −18.9300 | + | 3.82248i | −0.727001 | + | 0.146801i | ||||
\(679\) | 7.23147 | + | 40.2634i | 0.277518 | + | 1.54517i | ||||
\(680\) | 0.694129 | − | 1.20227i | 0.0266186 | − | 0.0461048i | ||||
\(681\) | 1.38545 | + | 6.86115i | 0.0530907 | + | 0.262920i | ||||
\(682\) | 7.50749 | − | 28.0183i | 0.287477 | − | 1.07288i | ||||
\(683\) | 8.64501 | − | 32.2636i | 0.330792 | − | 1.23453i | −0.577567 | − | 0.816343i | \(-0.695998\pi\) |
0.908359 | − | 0.418190i | \(-0.137335\pi\) | |||||||
\(684\) | 13.2721 | − | 10.3068i | 0.507472 | − | 0.394092i | ||||
\(685\) | 5.88599 | − | 10.1948i | 0.224892 | − | 0.389524i | ||||
\(686\) | 18.5194 | − | 0.176489i | 0.707075 | − | 0.00673838i | ||||
\(687\) | −2.09973 | − | 10.3985i | −0.0801098 | − | 0.396726i | ||||
\(688\) | 11.2486 | − | 6.49440i | 0.428850 | − | 0.247597i | ||||
\(689\) | −38.1303 | − | 16.3518i | −1.45265 | − | 0.622954i | ||||
\(690\) | 0.439704 | − | 7.02033i | 0.0167393 | − | 0.267259i | ||||
\(691\) | −20.4601 | + | 5.48228i | −0.778341 | + | 0.208556i | −0.626053 | − | 0.779780i | \(-0.715331\pi\) |
−0.152288 | + | 0.988336i | \(0.548664\pi\) | |||||||
\(692\) | 10.3430 | − | 5.97152i | 0.393181 | − | 0.227003i | ||||
\(693\) | 2.11844 | + | 40.2321i | 0.0804728 | + | 1.52829i | ||||
\(694\) | 16.1705 | + | 16.1705i | 0.613824 | + | 0.613824i | ||||
\(695\) | −5.12903 | + | 5.12903i | −0.194555 | + | 0.194555i | ||||
\(696\) | 1.97527 | + | 9.78209i | 0.0748725 | + | 0.370789i | ||||
\(697\) | 0.474322 | + | 1.77019i | 0.0179662 | + | 0.0670508i | ||||
\(698\) | 15.0369i | 0.569155i | ||||||||
\(699\) | 12.0521 | − | 18.1508i | 0.455850 | − | 0.686528i | ||||
\(700\) | 0.523089 | − | 6.20593i | 0.0197709 | − | 0.234562i | ||||
\(701\) | −33.5732 | −1.26804 | −0.634021 | − | 0.773315i | \(-0.718597\pi\) | ||||
−0.634021 | + | 0.773315i | \(0.718597\pi\) | |||||||
\(702\) | 3.58656 | + | 18.3885i | 0.135366 | + | 0.694029i | ||||
\(703\) | −15.3915 | + | 26.6589i | −0.580501 | + | 1.00546i | ||||
\(704\) | −3.58913 | + | 3.58913i | −0.135270 | + | 0.135270i | ||||
\(705\) | 21.0549 | + | 1.31873i | 0.792975 | + | 0.0496664i | ||||
\(706\) | −8.10352 | − | 4.67857i | −0.304980 | − | 0.176080i | ||||
\(707\) | 0.471232 | − | 5.59069i | 0.0177225 | − | 0.210259i | ||||
\(708\) | 1.07231 | − | 0.945905i | 0.0403000 | − | 0.0355493i | ||||
\(709\) | −1.13202 | + | 1.13202i | −0.0425140 | + | 0.0425140i | −0.728044 | − | 0.685530i | \(-0.759570\pi\) |
0.685530 | + | 0.728044i | \(0.259570\pi\) | |||||||
\(710\) | 23.7323 | − | 6.35906i | 0.890659 | − | 0.238651i | ||||
\(711\) | 35.9557 | + | 4.52176i | 1.34844 | + | 0.169579i | ||||
\(712\) | 6.14945 | + | 3.55039i | 0.230461 | + | 0.133056i | ||||
\(713\) | −3.69265 | + | 13.7811i | −0.138291 | + | 0.516108i | ||||
\(714\) | 1.55334 | − | 3.58922i | 0.0581322 | − | 0.134323i | ||||
\(715\) | −17.8280 | − | 23.8412i | −0.666728 | − | 0.891610i | ||||
\(716\) | 14.8072 | − | 8.54897i | 0.553373 | − | 0.319490i | ||||
\(717\) | −33.1637 | − | 11.1505i | −1.23852 | − | 0.416422i | ||||
\(718\) | −36.8804 | −1.37637 | ||||||||
\(719\) | 49.0565 | 1.82950 | 0.914750 | − | 0.404021i | \(-0.132388\pi\) | ||||
0.914750 | + | 0.404021i | \(0.132388\pi\) | |||||||
\(720\) | −0.665007 | − | 4.83449i | −0.0247833 | − | 0.180171i | ||||
\(721\) | 3.16502 | + | 6.73150i | 0.117872 | + | 0.250694i | ||||
\(722\) | 11.9538 | − | 3.20302i | 0.444876 | − | 0.119204i | ||||
\(723\) | 8.10790 | + | 40.1526i | 0.301536 | + | 1.49329i | ||||
\(724\) | −5.18774 | − | 8.98543i | −0.192801 | − | 0.333941i | ||||
\(725\) | −13.5626 | −0.503704 | ||||||||
\(726\) | 16.9160 | + | 19.1766i | 0.627813 | + | 0.711712i | ||||
\(727\) | − | 8.58214i | − | 0.318294i | −0.987255 | − | 0.159147i | \(-0.949126\pi\) | ||
0.987255 | − | 0.159147i | \(-0.0508744\pi\) | |||||||
\(728\) | 6.50945 | − | 6.97331i | 0.241256 | − | 0.258448i | ||||
\(729\) | 25.1207 | + | 9.89709i | 0.930395 | + | 0.366559i | ||||
\(730\) | −17.1828 | + | 4.60413i | −0.635966 | + | 0.170407i | ||||
\(731\) | 11.0851i | 0.409996i | ||||||||
\(732\) | −8.44672 | − | 5.60857i | −0.312200 | − | 0.207299i | ||||
\(733\) | 11.5251 | − | 43.0122i | 0.425689 | − | 1.58869i | −0.336726 | − | 0.941603i | \(-0.609319\pi\) |
0.762414 | − | 0.647089i | \(-0.224014\pi\) | |||||||
\(734\) | 8.72523 | + | 32.5630i | 0.322054 | + | 1.20192i | ||||
\(735\) | 0.612640 | + | 19.7128i | 0.0225976 | + | 0.727119i | ||||
\(736\) | 1.76535 | − | 1.76535i | 0.0650718 | − | 0.0650718i | ||||
\(737\) | − | 62.2391i | − | 2.29261i | ||||||
\(738\) | 5.13351 | + | 3.89201i | 0.188967 | + | 0.143267i | ||||
\(739\) | 35.6919 | − | 35.6919i | 1.31295 | − | 1.31295i | 0.393714 | − | 0.919233i | \(-0.371190\pi\) |
0.919233 | − | 0.393714i | \(-0.128810\pi\) | |||||||
\(740\) | 4.46977 | + | 7.74187i | 0.164312 | + | 0.284597i | ||||
\(741\) | −7.15072 | + | 34.2420i | −0.262688 | + | 1.25791i | ||||
\(742\) | 28.6412 | + | 10.3216i | 1.05145 | + | 0.378919i | ||||
\(743\) | 29.5583 | + | 7.92014i | 1.08439 | + | 0.290562i | 0.756393 | − | 0.654117i | \(-0.226960\pi\) |
0.327997 | + | 0.944679i | \(0.393626\pi\) | |||||||
\(744\) | −0.618741 | + | 9.87882i | −0.0226841 | + | 0.362175i | ||||
\(745\) | −17.2999 | + | 9.98812i | −0.633821 | + | 0.365937i | ||||
\(746\) | 5.22288 | + | 19.4921i | 0.191223 | + | 0.713655i | ||||
\(747\) | 1.84097 | + | 13.3836i | 0.0673577 | + | 0.489679i | ||||
\(748\) | −1.12117 | − | 4.18425i | −0.0409939 | − | 0.152991i | ||||
\(749\) | −18.3406 | + | 26.3710i | −0.670152 | + | 0.963576i | ||||
\(750\) | 20.6790 | + | 1.29519i | 0.755092 | + | 0.0472937i | ||||
\(751\) | −27.0037 | − | 15.5906i | −0.985378 | − | 0.568908i | −0.0814883 | − | 0.996674i | \(-0.525967\pi\) |
−0.903889 | + | 0.427766i | \(0.859301\pi\) | |||||||
\(752\) | 5.29454 | + | 5.29454i | 0.193072 | + | 0.193072i | ||||
\(753\) | −2.67377 | − | 0.167467i | −0.0974377 | − | 0.00610282i | ||||
\(754\) | −16.3228 | − | 12.8501i | −0.594442 | − | 0.467975i | ||||
\(755\) | − | 0.0921071i | − | 0.00335212i | ||||||
\(756\) | −3.42594 | − | 13.3140i | −0.124600 | − | 0.484226i | ||||
\(757\) | −5.92020 | − | 10.2541i | −0.215173 | − | 0.372691i | 0.738153 | − | 0.674633i | \(-0.235698\pi\) |
−0.953326 | + | 0.301942i | \(0.902365\pi\) | |||||||
\(758\) | −9.46890 | −0.343926 | ||||||||
\(759\) | −14.5196 | − | 16.4600i | −0.527029 | − | 0.597459i | ||||
\(760\) | 2.35826 | − | 8.80115i | 0.0855431 | − | 0.319251i | ||||
\(761\) | 14.2380 | + | 14.2380i | 0.516126 | + | 0.516126i | 0.916397 | − | 0.400271i | \(-0.131084\pi\) |
−0.400271 | + | 0.916397i | \(0.631084\pi\) | |||||||
\(762\) | 4.36663 | − | 12.9872i | 0.158186 | − | 0.470478i | ||||
\(763\) | 3.38803 | + | 18.8639i | 0.122655 | + | 0.682919i | ||||
\(764\) | −5.23979 | − | 9.07557i | −0.189569 | − | 0.328343i | ||||
\(765\) | 3.85692 | + | 1.57146i | 0.139447 | + | 0.0568162i | ||||
\(766\) | −19.0262 | − | 10.9848i | −0.687446 | − | 0.396897i | ||||
\(767\) | −0.425139 | + | 2.94604i | −0.0153509 | + | 0.106375i | ||||
\(768\) | 0.958098 | − | 1.44293i | 0.0345724 | − | 0.0520673i | ||||
\(769\) | −9.69031 | + | 36.1647i | −0.349442 | + | 1.30413i | 0.537895 | + | 0.843012i | \(0.319220\pi\) |
−0.887337 | + | 0.461122i | \(0.847447\pi\) | |||||||
\(770\) | 14.0948 | + | 16.6896i | 0.507941 | + | 0.601451i | ||||
\(771\) | −11.9100 | − | 0.745961i | −0.428929 | − | 0.0268651i | ||||
\(772\) | −0.790055 | + | 2.94853i | −0.0284347 | + | 0.106120i | ||||
\(773\) | −6.20578 | − | 1.66283i | −0.223206 | − | 0.0598079i | 0.145483 | − | 0.989361i | \(-0.453527\pi\) |
−0.368689 | + | 0.929553i | \(0.620193\pi\) | |||||||
\(774\) | 23.9000 | + | 30.7761i | 0.859069 | + | 1.10622i | ||||
\(775\) | −12.9937 | − | 3.48166i | −0.466748 | − | 0.125065i | ||||
\(776\) | −13.3902 | − | 7.73081i | −0.480679 | − | 0.277520i | ||||
\(777\) | 15.0147 | + | 20.2187i | 0.538648 | + | 0.725341i | ||||
\(778\) | −2.11550 | − | 0.566847i | −0.0758445 | − | 0.0203225i | ||||
\(779\) | 6.01412 | + | 10.4168i | 0.215478 | + | 0.373219i | ||||
\(780\) | 7.57350 | + | 6.77042i | 0.271175 | + | 0.242420i | ||||
\(781\) | 38.3328 | − | 66.3943i | 1.37165 | − | 2.37578i | ||||
\(782\) | 0.551459 | + | 2.05807i | 0.0197201 | + | 0.0735965i | ||||
\(783\) | −28.2650 | + | 9.86959i | −1.01011 | + | 0.352710i | ||||
\(784\) | −4.46536 | + | 5.39079i | −0.159477 | + | 0.192528i | ||||
\(785\) | 4.67597 | − | 4.67597i | 0.166893 | − | 0.166893i | ||||
\(786\) | 4.20836 | − | 12.5165i | 0.150107 | − | 0.446448i | ||||
\(787\) | −36.2132 | − | 9.70329i | −1.29086 | − | 0.345885i | −0.452873 | − | 0.891575i | \(-0.649601\pi\) |
−0.837987 | + | 0.545690i | \(0.816268\pi\) | |||||||
\(788\) | −21.4008 | + | 5.73433i | −0.762372 | + | 0.204277i | ||||
\(789\) | 8.18949 | − | 4.06816i | 0.291554 | − | 0.144830i | ||||
\(790\) | 17.0170 | − | 9.82479i | 0.605439 | − | 0.349550i | ||||
\(791\) | −16.8434 | + | 24.2183i | −0.598884 | + | 0.861104i | ||||
\(792\) | −12.1342 | − | 9.19965i | −0.431171 | − | 0.326895i | ||||
\(793\) | 20.9584 | − | 2.49484i | 0.744256 | − | 0.0885945i | ||||
\(794\) | −9.12011 | − | 5.26550i | −0.323661 | − | 0.186866i | ||||
\(795\) | −10.3321 | + | 30.7299i | −0.366443 | + | 1.08988i | ||||
\(796\) | −2.47908 | + | 4.29390i | −0.0878687 | + | 0.152193i | ||||
\(797\) | −18.3966 | + | 31.8639i | −0.651642 | + | 1.12868i | 0.331083 | + | 0.943602i | \(0.392586\pi\) |
−0.982724 | + | 0.185075i | \(0.940747\pi\) | |||||||
\(798\) | 3.75062 | − | 25.3933i | 0.132771 | − | 0.898912i | ||||
\(799\) | −6.17245 | + | 1.65390i | −0.218366 | + | 0.0585109i | ||||
\(800\) | 1.66449 | + | 1.66449i | 0.0588484 | + | 0.0588484i | ||||
\(801\) | −8.03782 | + | 19.7277i | −0.284003 | + | 0.697045i | ||||
\(802\) | 12.2662 | + | 21.2457i | 0.433135 | + | 0.750211i | ||||
\(803\) | −27.7540 | + | 48.0713i | −0.979416 | + | 1.69640i | ||||
\(804\) | 4.20375 | + | 20.8181i | 0.148255 | + | 0.734199i | ||||
\(805\) | −6.93270 | − | 8.20897i | −0.244345 | − | 0.289328i | ||||
\(806\) | −12.3394 | − | 16.5013i | −0.434636 | − | 0.581235i | ||||
\(807\) | −27.4872 | − | 18.2514i | −0.967597 | − | 0.642478i | ||||
\(808\) | 1.49947 | + | 1.49947i | 0.0527512 | + | 0.0527512i | ||||
\(809\) | 4.84604i | 0.170378i | 0.996365 | + | 0.0851888i | \(0.0271494\pi\) | ||||
−0.996365 | + | 0.0851888i | \(0.972851\pi\) | |||||||
\(810\) | 14.0963 | − | 3.95282i | 0.495294 | − | 0.138888i | ||||
\(811\) | 8.37484 | + | 8.37484i | 0.294080 | + | 0.294080i | 0.838690 | − | 0.544609i | \(-0.183322\pi\) |
−0.544609 | + | 0.838690i | \(0.683322\pi\) | |||||||
\(812\) | 12.5148 | + | 8.70388i | 0.439185 | + | 0.305446i | ||||
\(813\) | −0.333764 | + | 0.294419i | −0.0117056 | + | 0.0103257i | ||||
\(814\) | 26.9440 | + | 7.21963i | 0.944388 | + | 0.253048i | ||||
\(815\) | 14.3436 | − | 8.28127i | 0.502434 | − | 0.290080i | ||||
\(816\) | 0.657627 | + | 1.32385i | 0.0230216 | + | 0.0463440i | ||||
\(817\) | 18.8304 | + | 70.2761i | 0.658794 | + | 2.45865i | ||||
\(818\) | −4.67413 | −0.163427 | ||||||||
\(819\) | 23.3859 | + | 16.4954i | 0.817171 | + | 0.576396i | ||||
\(820\) | 3.49306 | 0.121983 | ||||||||
\(821\) | −5.92719 | − | 22.1206i | −0.206860 | − | 0.772014i | −0.988874 | − | 0.148753i | \(-0.952474\pi\) |
0.782014 | − | 0.623261i | \(-0.214192\pi\) | |||||||
\(822\) | 5.57647 | + | 11.2258i | 0.194502 | + | 0.391545i | ||||
\(823\) | −4.04630 | + | 2.33613i | −0.141045 | + | 0.0814324i | −0.568862 | − | 0.822433i | \(-0.692616\pi\) |
0.427817 | + | 0.903865i | \(0.359283\pi\) | |||||||
\(824\) | −2.71567 | − | 0.727662i | −0.0946049 | − | 0.0253493i | ||||
\(825\) | 15.5195 | − | 13.6900i | 0.540319 | − | 0.476625i | ||||
\(826\) | 0.183452 | − | 2.17648i | 0.00638313 | − | 0.0757293i | ||||
\(827\) | −37.4338 | − | 37.4338i | −1.30170 | − | 1.30170i | −0.927245 | − | 0.374455i | \(-0.877830\pi\) |
−0.374455 | − | 0.927245i | \(-0.622170\pi\) | |||||||
\(828\) | 5.96836 | + | 4.52496i | 0.207415 | + | 0.157253i | ||||
\(829\) | 5.98479i | 0.207860i | 0.994585 | + | 0.103930i | \(0.0331419\pi\) | ||||
−0.994585 | + | 0.103930i | \(0.966858\pi\) | |||||||
\(830\) | 5.17972 | + | 5.17972i | 0.179791 | + | 0.179791i | ||||
\(831\) | −2.02765 | − | 1.34635i | −0.0703385 | − | 0.0467043i | ||||
\(832\) | 0.426188 | + | 3.58027i | 0.0147754 | + | 0.124124i | ||||
\(833\) | −2.07887 | − | 5.60067i | −0.0720284 | − | 0.194052i | ||||
\(834\) | −1.52872 | − | 7.57063i | −0.0529352 | − | 0.262150i | ||||
\(835\) | −9.11039 | + | 15.7797i | −0.315278 | + | 0.546078i | ||||
\(836\) | −14.2157 | − | 24.6224i | −0.491661 | − | 0.851582i | ||||
\(837\) | −29.6130 | + | 2.19970i | −1.02357 | + | 0.0760327i | ||||
\(838\) | −14.3302 | − | 14.3302i | −0.495028 | − | 0.495028i | ||||
\(839\) | −7.35666 | + | 1.97121i | −0.253980 | + | 0.0680538i | −0.383563 | − | 0.923515i | \(-0.625303\pi\) |
0.129583 | + | 0.991569i | \(0.458636\pi\) | |||||||
\(840\) | −5.84177 | − | 4.63045i | −0.201560 | − | 0.159766i | ||||
\(841\) | 2.09849 | − | 3.63470i | 0.0723618 | − | 0.125334i | ||||
\(842\) | 4.81563 | − | 8.34091i | 0.165958 | − | 0.287447i | ||||
\(843\) | −14.2872 | + | 42.4930i | −0.492077 | + | 1.46354i | ||||
\(844\) | 4.61226 | + | 2.66289i | 0.158760 | + | 0.0916604i | ||||
\(845\) | −21.1402 | − | 0.525208i | −0.727245 | − | 0.0180677i | ||||
\(846\) | −13.5710 | + | 17.9000i | −0.466580 | + | 0.615413i | ||||
\(847\) | 38.9229 | + | 3.28076i | 1.33741 | + | 0.112728i | ||||
\(848\) | −9.96523 | + | 5.75343i | −0.342208 | + | 0.197574i | ||||
\(849\) | 37.2729 | − | 18.5154i | 1.27920 | − | 0.635448i | ||||
\(850\) | −1.94048 | + | 0.519950i | −0.0665579 | + | 0.0178341i | ||||
\(851\) | −13.2527 | − | 3.55106i | −0.454298 | − | 0.121729i | ||||
\(852\) | −8.33740 | + | 24.7971i | −0.285634 | + | 0.849534i | ||||
\(853\) | 19.9037 | − | 19.9037i | 0.681490 | − | 0.681490i | −0.278846 | − | 0.960336i | \(-0.589952\pi\) |
0.960336 | + | 0.278846i | \(0.0899518\pi\) | |||||||
\(854\) | −15.2440 | + | 2.73788i | −0.521637 | + | 0.0936882i | ||||
\(855\) | 27.1212 | + | 3.41075i | 0.927526 | + | 0.116645i | ||||
\(856\) | −3.14229 | − | 11.7272i | −0.107401 | − | 0.400827i | ||||
\(857\) | 24.4329 | − | 42.3191i | 0.834613 | − | 1.44559i | −0.0597321 | − | 0.998214i | \(-0.519025\pi\) |
0.894345 | − | 0.447378i | \(-0.147642\pi\) | |||||||
\(858\) | 31.6487 | − | 1.77193i | 1.08047 | − | 0.0604926i | ||||
\(859\) | 13.8247 | + | 23.9452i | 0.471694 | + | 0.816999i | 0.999476 | − | 0.0323818i | \(-0.0103092\pi\) |
−0.527781 | + | 0.849380i | \(0.676976\pi\) | |||||||
\(860\) | 20.4086 | + | 5.46846i | 0.695926 | + | 0.186473i | ||||
\(861\) | 9.77530 | − | 1.13071i | 0.333141 | − | 0.0385344i | ||||
\(862\) | 4.93248 | + | 2.84777i | 0.168001 | + | 0.0969955i | ||||
\(863\) | −26.5462 | − | 7.11305i | −0.903645 | − | 0.242131i | −0.223064 | − | 0.974804i | \(-0.571606\pi\) |
−0.680581 | + | 0.732673i | \(0.738273\pi\) | |||||||
\(864\) | 4.68010 | + | 2.25759i | 0.159220 | + | 0.0768047i | ||||
\(865\) | 18.7654 | + | 5.02819i | 0.638044 | + | 0.170963i | ||||
\(866\) | −8.70376 | + | 32.4829i | −0.295766 | + | 1.10381i | ||||
\(867\) | 28.1282 | + | 1.76175i | 0.955284 | + | 0.0598323i | ||||
\(868\) | 9.75551 | + | 11.5514i | 0.331124 | + | 0.392082i | ||||
\(869\) | 15.8691 | − | 59.2244i | 0.538323 | − | 2.00905i | ||||
\(870\) | −8.97964 | + | 13.5237i | −0.304438 | + | 0.458496i | ||||
\(871\) | −34.7381 | − | 27.3475i | −1.17705 | − | 0.926636i | ||||
\(872\) | −6.27346 | − | 3.62198i | −0.212446 | − | 0.122656i | ||||
\(873\) | 17.5020 | − | 42.9562i | 0.592353 | − | 1.45385i | ||||
\(874\) | 6.99217 | + | 12.1108i | 0.236514 | + | 0.409654i | ||||
\(875\) | 24.1803 | − | 20.4209i | 0.817443 | − | 0.690353i | ||||
\(876\) | 6.03650 | − | 17.9538i | 0.203954 | − | 0.606601i | ||||
\(877\) | 23.5780 | + | 23.5780i | 0.796173 | + | 0.796173i | 0.982490 | − | 0.186317i | \(-0.0596550\pi\) |
−0.186317 | + | 0.982490i | \(0.559655\pi\) | |||||||
\(878\) | −0.362720 | + | 1.35369i | −0.0122412 | + | 0.0456847i | ||||
\(879\) | −14.5849 | − | 16.5340i | −0.491937 | − | 0.557677i | ||||
\(880\) | −8.25665 | −0.278331 | ||||||||
\(881\) | 9.75282 | + | 16.8924i | 0.328581 | + | 0.569118i | 0.982230 | − | 0.187679i | \(-0.0600964\pi\) |
−0.653650 | + | 0.756797i | \(0.726763\pi\) | |||||||
\(882\) | −17.8470 | − | 11.0673i | −0.600940 | − | 0.372654i | ||||
\(883\) | − | 4.92582i | − | 0.165767i | −0.996559 | − | 0.0828835i | \(-0.973587\pi\) | ||
0.996559 | − | 0.0828835i | \(-0.0264129\pi\) | |||||||
\(884\) | −2.82803 | − | 1.21277i | −0.0951169 | − | 0.0407899i | ||||
\(885\) | 2.32142 | + | 0.145397i | 0.0780335 | + | 0.00488748i | ||||
\(886\) | 13.1984 | + | 13.1984i | 0.443409 | + | 0.443409i | ||||
\(887\) | −30.9567 | − | 17.8729i | −1.03942 | − | 0.600112i | −0.119754 | − | 0.992804i | \(-0.538211\pi\) |
−0.919670 | + | 0.392691i | \(0.871544\pi\) | |||||||
\(888\) | −9.50005 | − | 0.595017i | −0.318801 | − | 0.0199675i | ||||
\(889\) | −8.90546 | − | 18.9405i | −0.298680 | − | 0.635244i | ||||
\(890\) | 2.98953 | + | 11.1571i | 0.100209 | + | 0.373986i | ||||
\(891\) | 22.3808 | − | 39.8240i | 0.749787 | − | 1.33416i | ||||
\(892\) | 2.72617 | + | 10.1742i | 0.0912789 | + | 0.340658i | ||||
\(893\) | −36.3220 | + | 20.9705i | −1.21547 | + | 0.701752i | ||||
\(894\) | 1.32962 | − | 21.2287i | 0.0444692 | − | 0.709995i | ||||
\(895\) | 26.8650 | + | 7.19847i | 0.897999 | + | 0.240618i | ||||
\(896\) | −0.467704 | − | 2.60408i | −0.0156249 | − | 0.0869963i | ||||
\(897\) | −15.5668 | + | 0.871543i | −0.519761 | + | 0.0291000i | ||||
\(898\) | −7.08641 | − | 12.2740i | −0.236477 | − | 0.409590i | ||||
\(899\) | 23.2825 | − | 23.2825i | 0.776514 | − | 0.776514i | ||||
\(900\) | −4.26641 | + | 5.62734i | −0.142214 | + | 0.187578i | ||||
\(901\) | − | 9.82035i | − | 0.327163i | ||||||
\(902\) | 7.70717 | − | 7.70717i | 0.256621 | − | 0.256621i | ||||
\(903\) | 58.8833 | + | 8.69715i | 1.95951 | + | 0.289423i | ||||
\(904\) | −2.88578 | − | 10.7699i | −0.0959797 | − | 0.358201i | ||||
\(905\) | 4.36822 | − | 16.3024i | 0.145204 | − | 0.541910i | ||||
\(906\) | 0.0817031 | + | 0.0542504i | 0.00271440 | + | 0.00180235i | ||||
\(907\) | 36.6638i | 1.21740i | 0.793399 | + | 0.608701i | \(0.208309\pi\) | ||||
−0.793399 | + | 0.608701i | \(0.791691\pi\) | |||||||
\(908\) | −3.90354 | + | 1.04595i | −0.129543 | + | 0.0347111i | ||||
\(909\) | −3.84345 | + | 5.06946i | −0.127479 | + | 0.168143i | ||||
\(910\) | 15.5083 | − | 0.533545i | 0.514095 | − | 0.0176869i | ||||
\(911\) | 30.8260i | 1.02131i | 0.859786 | + | 0.510655i | \(0.170597\pi\) | ||||
−0.859786 | + | 0.510655i | \(0.829403\pi\) | |||||||
\(912\) | 6.41801 | + | 7.27569i | 0.212522 | + | 0.240922i | ||||
\(913\) | 22.8573 | 0.756466 | ||||||||
\(914\) | −0.992063 | − | 1.71830i | −0.0328145 | − | 0.0568364i | ||||
\(915\) | −3.26452 | − | 16.1668i | −0.107922 | − | 0.534459i | ||||
\(916\) | 5.91603 | − | 1.58519i | 0.195471 | − | 0.0523763i | ||||
\(917\) | −8.58267 | − | 18.2540i | −0.283425 | − | 0.602799i | ||||
\(918\) | −3.66565 | + | 2.49569i | −0.120985 | + | 0.0823699i | ||||
\(919\) | 24.8070 | 0.818309 | 0.409154 | − | 0.912465i | \(-0.365824\pi\) | ||||
0.409154 | + | 0.912465i | \(0.365824\pi\) | |||||||
\(920\) | 4.06113 | 0.133891 | ||||||||
\(921\) | 15.5781 | + | 5.23773i | 0.513314 | + | 0.172589i | ||||
\(922\) | 11.6521 | − | 6.72737i | 0.383743 | − | 0.221554i | ||||
\(923\) | −20.2140 | − | 50.5683i | −0.665353 | − | 1.66448i | ||||
\(924\) | −23.1061 | + | 2.67268i | −0.760136 | + | 0.0879249i | ||||
\(925\) | 3.34816 | − | 12.4955i | 0.110087 | − | 0.410850i | ||||
\(926\) | 31.4085 | + | 18.1337i | 1.03215 | + | 0.595911i | ||||
\(927\) | 1.05242 | − | 8.36849i | 0.0345659 | − | 0.274857i | ||||
\(928\) | −5.56536 | + | 1.49123i | −0.182692 | + | 0.0489521i | ||||
\(929\) | 8.20806 | − | 8.20806i | 0.269298 | − | 0.269298i | −0.559519 | − | 0.828817i | \(-0.689014\pi\) |
0.828817 | + | 0.559519i | \(0.189014\pi\) | |||||||
\(930\) | −12.0746 | + | 10.6512i | −0.395943 | + | 0.349268i | ||||
\(931\) | −22.6934 | − | 31.9752i | −0.743745 | − | 1.04794i | ||||
\(932\) | 10.8939 | + | 6.28957i | 0.356840 | + | 0.206022i | ||||
\(933\) | 23.0294 | + | 1.44240i | 0.753950 | + | 0.0472222i | ||||
\(934\) | −8.04119 | + | 8.04119i | −0.263116 | + | 0.263116i | ||||
\(935\) | 3.52325 | − | 6.10245i | 0.115223 | − | 0.199572i | ||||
\(936\) | −10.4664 | + | 2.73030i | −0.342105 | + | 0.0892428i | ||||
\(937\) | 32.6123 | 1.06540 | 0.532698 | − | 0.846305i | \(-0.321178\pi\) | ||||
0.532698 | + | 0.846305i | \(0.321178\pi\) | |||||||
\(938\) | 26.6340 | + | 18.5235i | 0.869630 | + | 0.604814i | ||||
\(939\) | −24.8556 | + | 37.4335i | −0.811132 | + | 1.22159i | ||||
\(940\) | 12.1799i | 0.397264i | ||||||||
\(941\) | −0.962648 | − | 3.59265i | −0.0313814 | − | 0.117117i | 0.948458 | − | 0.316902i | \(-0.102642\pi\) |
−0.979840 | + | 0.199784i | \(0.935976\pi\) | |||||||
\(942\) | 1.39368 | + | 6.90191i | 0.0454087 | + | 0.224876i | ||||
\(943\) | −3.79087 | + | 3.79087i | −0.123448 | + | 0.123448i | ||||
\(944\) | 0.583751 | + | 0.583751i | 0.0189995 | + | 0.0189995i | ||||
\(945\) | 11.3736 | − | 19.2548i | 0.369982 | − | 0.626359i | ||||
\(946\) | 57.0956 | − | 32.9642i | 1.85634 | − | 1.07176i | ||||
\(947\) | 24.2322 | − | 6.49299i | 0.787440 | − | 0.210994i | 0.157378 | − | 0.987538i | \(-0.449696\pi\) |
0.630062 | + | 0.776545i | \(0.283029\pi\) | |||||||
\(948\) | −1.30788 | + | 20.8816i | −0.0424779 | + | 0.678203i | ||||
\(949\) | 14.6355 | + | 36.6128i | 0.475089 | + | 1.18850i | ||||
\(950\) | −11.4188 | + | 6.59266i | −0.370475 | + | 0.213894i | ||||
\(951\) | 1.87761 | + | 9.29842i | 0.0608855 | + | 0.301522i | ||||
\(952\) | 2.12424 | + | 0.765529i | 0.0688472 | + | 0.0248109i | ||||
\(953\) | −7.75491 | + | 13.4319i | −0.251206 | + | 0.435102i | −0.963858 | − | 0.266416i | \(-0.914161\pi\) |
0.712652 | + | 0.701518i | \(0.247494\pi\) | |||||||
\(954\) | −21.1732 | − | 27.2647i | −0.685508 | − | 0.882728i | ||||
\(955\) | 4.41204 | − | 16.4660i | 0.142770 | − | 0.532826i | ||||
\(956\) | 5.22824 | − | 19.5121i | 0.169093 | − | 0.631065i | ||||
\(957\) | 10.0261 | + | 49.6518i | 0.324097 | + | 1.60502i | ||||
\(958\) | −2.30496 | + | 3.99230i | −0.0744697 | + | 0.128985i | ||||
\(959\) | 18.0129 | + | 6.49144i | 0.581667 | + | 0.209619i | ||||
\(960\) | 2.76174 | − | 0.557670i | 0.0891347 | − | 0.0179987i | ||||
\(961\) | 1.43588 | − | 0.829003i | 0.0463186 | − | 0.0267420i | ||||
\(962\) | 15.8686 | − | 11.8663i | 0.511625 | − | 0.382583i | ||||
\(963\) | 33.5688 | − | 14.1332i | 1.08174 | − | 0.455436i | ||||
\(964\) | −22.8441 | + | 6.12107i | −0.735760 | + | 0.197146i | ||||
\(965\) | −4.30023 | + | 2.48274i | −0.138429 | + | 0.0799222i | ||||
\(966\) | 11.3650 | − | 1.31459i | 0.365664 | − | 0.0422963i | ||||
\(967\) | −36.0785 | − | 36.0785i | −1.16021 | − | 1.16021i | −0.984430 | − | 0.175775i | \(-0.943757\pi\) |
−0.175775 | − | 0.984430i | \(-0.556243\pi\) | |||||||
\(968\) | −10.4395 | + | 10.4395i | −0.335537 | + | 0.335537i | ||||
\(969\) | −8.11611 | + | 1.63886i | −0.260727 | + | 0.0526479i | ||||
\(970\) | −6.50956 | − | 24.2940i | −0.209009 | − | 0.780033i | ||||
\(971\) | 57.4257i | 1.84288i | 0.388524 | + | 0.921439i | \(0.372985\pi\) | ||||
−0.388524 | + | 0.921439i | \(0.627015\pi\) | |||||||
\(972\) | −4.79630 | + | 14.8322i | −0.153841 | + | 0.475745i | ||||
\(973\) | −9.68559 | − | 6.73617i | −0.310506 | − | 0.215952i | ||||
\(974\) | −9.27311 | −0.297130 | ||||||||
\(975\) | −0.821745 | − | 14.6774i | −0.0263169 | − | 0.470051i | ||||
\(976\) | 2.92693 | − | 5.06959i | 0.0936888 | − | 0.162274i | ||||
\(977\) | 5.81297 | − | 5.81297i | 0.185973 | − | 0.185973i | −0.607979 | − | 0.793953i | \(-0.708020\pi\) |
0.793953 | + | 0.607979i | \(0.208020\pi\) | |||||||
\(978\) | −1.10240 | + | 17.6010i | −0.0352510 | + | 0.562818i | ||||
\(979\) | 31.2133 | + | 18.0210i | 0.997583 | + | 0.575955i | ||||
\(980\) | −11.3368 | + | 1.06446i | −0.362142 | + | 0.0340030i | ||||
\(981\) | 8.19990 | − | 20.1255i | 0.261803 | − | 0.642558i | ||||
\(982\) | −19.7531 | + | 19.7531i | −0.630347 | + | 0.630347i | ||||
\(983\) | 46.3345 | − | 12.4153i | 1.47784 | − | 0.395986i | 0.572228 | − | 0.820094i | \(-0.306079\pi\) |
0.905611 | + | 0.424108i | \(0.139412\pi\) | |||||||
\(984\) | −2.05739 | + | 3.09850i | −0.0655871 | + | 0.0987767i | ||||
\(985\) | −31.2117 | − | 18.0201i | −0.994487 | − | 0.574167i | ||||
\(986\) | 1.27267 | − | 4.74967i | 0.0405301 | − | 0.151260i | ||||
\(987\) | 3.94264 | + | 34.0853i | 0.125496 | + | 1.08495i | ||||
\(988\) | −19.9890 | − | 2.88459i | −0.635935 | − | 0.0917709i | ||||
\(989\) | −28.0832 | + | 16.2138i | −0.892993 | + | 0.515570i | ||||
\(990\) | −3.37543 | − | 24.5389i | −0.107278 | − | 0.779897i | ||||
\(991\) | 2.87423 | 0.0913029 | 0.0456515 | − | 0.998957i | \(-0.485464\pi\) | ||||
0.0456515 | + | 0.998957i | \(0.485464\pi\) | |||||||
\(992\) | −5.71472 | −0.181442 | ||||||||
\(993\) | 1.33770 | − | 3.97858i | 0.0424506 | − | 0.126257i | ||||
\(994\) | 17.0036 | + | 36.1639i | 0.539321 | + | 1.14705i | ||||
\(995\) | −7.79049 | + | 2.08746i | −0.246975 | + | 0.0661768i | ||||
\(996\) | −7.64546 | + | 1.54383i | −0.242256 | + | 0.0489180i | ||||
\(997\) | −7.68699 | − | 13.3143i | −0.243449 | − | 0.421667i | 0.718245 | − | 0.695790i | \(-0.244946\pi\) |
−0.961695 | + | 0.274123i | \(0.911612\pi\) | |||||||
\(998\) | −5.06133 | −0.160214 | ||||||||
\(999\) | −2.11536 | − | 28.4775i | −0.0669269 | − | 0.900989i |
(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 | 546.2.bw.a.11.13 | ✓ | 152 | |
3.2 | odd | 2 | inner | 546.2.bw.a.11.32 | yes | 152 | |
7.2 | even | 3 | 546.2.ch.a.401.1 | yes | 152 | ||
13.6 | odd | 12 | 546.2.ch.a.305.33 | yes | 152 | ||
21.2 | odd | 6 | 546.2.ch.a.401.33 | yes | 152 | ||
39.32 | even | 12 | 546.2.ch.a.305.1 | yes | 152 | ||
91.58 | odd | 12 | inner | 546.2.bw.a.149.32 | yes | 152 | |
273.149 | even | 12 | inner | 546.2.bw.a.149.13 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bw.a.11.13 | ✓ | 152 | 1.1 | even | 1 | trivial | |
546.2.bw.a.11.32 | yes | 152 | 3.2 | odd | 2 | inner | |
546.2.bw.a.149.13 | yes | 152 | 273.149 | even | 12 | inner | |
546.2.bw.a.149.32 | yes | 152 | 91.58 | odd | 12 | inner | |
546.2.ch.a.305.1 | yes | 152 | 39.32 | even | 12 | ||
546.2.ch.a.305.33 | yes | 152 | 13.6 | odd | 12 | ||
546.2.ch.a.401.1 | yes | 152 | 7.2 | even | 3 | ||
546.2.ch.a.401.33 | yes | 152 | 21.2 | odd | 6 |