Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(4,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.y (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 231.4 |
Dual form | 231.2.y.a.58.7 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.194840 | − | 1.85378i | 0.137773 | − | 1.31082i | −0.679119 | − | 0.734028i | \(-0.737638\pi\) |
0.816891 | − | 0.576792i | \(-0.195695\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −1.44224 | − | 0.306558i | −0.721120 | − | 0.153279i | ||||
\(5\) | −3.17278 | − | 1.41261i | −1.41891 | − | 0.631739i | −0.453210 | − | 0.891404i | \(-0.649721\pi\) |
−0.965699 | + | 0.259665i | \(0.916388\pi\) | |||||||
\(6\) | −1.50800 | + | 1.09563i | −0.615638 | + | 0.447288i | ||||
\(7\) | −2.04677 | + | 1.67652i | −0.773607 | + | 0.633665i | ||||
\(8\) | 0.302713 | − | 0.931655i | 0.107025 | − | 0.329390i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −3.23685 | + | 5.60640i | −1.02358 | + | 1.77290i | ||||
\(11\) | 2.62222 | + | 2.03075i | 0.790630 | + | 0.612294i | ||||
\(12\) | 0.737230 | + | 1.27692i | 0.212820 | + | 0.368615i | ||||
\(13\) | −1.79406 | − | 1.30346i | −0.497582 | − | 0.361515i | 0.310510 | − | 0.950570i | \(-0.399500\pi\) |
−0.808093 | + | 0.589055i | \(0.799500\pi\) | |||||||
\(14\) | 2.70911 | + | 4.12092i | 0.724039 | + | 1.10136i | ||||
\(15\) | 1.07323 | + | 3.30305i | 0.277106 | + | 0.852845i | ||||
\(16\) | −4.36208 | − | 1.94212i | −1.09052 | − | 0.485530i | ||||
\(17\) | −0.524640 | − | 4.99162i | −0.127244 | − | 1.21064i | −0.852709 | − | 0.522386i | \(-0.825042\pi\) |
0.725465 | − | 0.688259i | \(-0.241625\pi\) | |||||||
\(18\) | 1.82326 | + | 0.387545i | 0.429746 | + | 0.0913453i | ||||
\(19\) | −1.02552 | + | 0.217981i | −0.235271 | + | 0.0500083i | −0.324038 | − | 0.946044i | \(-0.605041\pi\) |
0.0887674 | + | 0.996052i | \(0.471707\pi\) | |||||||
\(20\) | 4.14286 | + | 3.00996i | 0.926372 | + | 0.673048i | ||||
\(21\) | 2.61546 | + | 0.399238i | 0.570739 | + | 0.0871208i | ||||
\(22\) | 4.27547 | − | 4.46535i | 0.911534 | − | 0.952017i | ||||
\(23\) | −3.39430 | − | 5.87909i | −0.707760 | − | 1.22588i | −0.965686 | − | 0.259711i | \(-0.916373\pi\) |
0.257927 | − | 0.966164i | \(-0.416961\pi\) | |||||||
\(24\) | −0.894909 | + | 0.398439i | −0.182673 | + | 0.0813311i | ||||
\(25\) | 4.72539 | + | 5.24808i | 0.945078 | + | 1.04962i | ||||
\(26\) | −2.76588 | + | 3.07182i | −0.542434 | + | 0.602434i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 3.46589 | − | 1.79049i | 0.654991 | − | 0.338371i | ||||
\(29\) | −0.131329 | − | 0.404189i | −0.0243872 | − | 0.0750561i | 0.938122 | − | 0.346304i | \(-0.112564\pi\) |
−0.962509 | + | 0.271248i | \(0.912564\pi\) | |||||||
\(30\) | 6.33224 | − | 1.34596i | 1.15610 | − | 0.245737i | ||||
\(31\) | 0.785857 | − | 0.349886i | 0.141144 | − | 0.0628414i | −0.334949 | − | 0.942236i | \(-0.608719\pi\) |
0.476093 | + | 0.879395i | \(0.342052\pi\) | |||||||
\(32\) | −3.47057 | + | 6.01121i | −0.613516 | + | 1.06264i | ||||
\(33\) | −0.245470 | − | 3.30753i | −0.0427309 | − | 0.575767i | ||||
\(34\) | −9.35558 | −1.60447 | ||||||||
\(35\) | 8.86223 | − | 2.42793i | 1.49799 | − | 0.410395i | ||||
\(36\) | 0.455633 | − | 1.40230i | 0.0759389 | − | 0.233716i | ||||
\(37\) | 0.687941 | − | 0.764036i | 0.113097 | − | 0.125607i | −0.683938 | − | 0.729540i | \(-0.739734\pi\) |
0.797035 | + | 0.603933i | \(0.206401\pi\) | |||||||
\(38\) | 0.204276 | + | 1.94356i | 0.0331380 | + | 0.315287i | ||||
\(39\) | 0.231800 | + | 2.20543i | 0.0371177 | + | 0.353151i | ||||
\(40\) | −2.27651 | + | 2.52832i | −0.359947 | + | 0.399762i | ||||
\(41\) | 2.02483 | − | 6.23179i | 0.316225 | − | 0.973242i | −0.659022 | − | 0.752124i | \(-0.729029\pi\) |
0.975247 | − | 0.221118i | \(-0.0709706\pi\) | |||||||
\(42\) | 1.24969 | − | 4.77069i | 0.192832 | − | 0.736134i | ||||
\(43\) | 3.02146 | 0.460768 | 0.230384 | − | 0.973100i | \(-0.426002\pi\) | ||||
0.230384 | + | 0.973100i | \(0.426002\pi\) | |||||||
\(44\) | −3.15934 | − | 3.73269i | −0.476288 | − | 0.562724i | ||||
\(45\) | 1.73652 | − | 3.00774i | 0.258865 | − | 0.448367i | ||||
\(46\) | −11.5599 | + | 5.14679i | −1.70441 | + | 0.758853i | ||||
\(47\) | 3.19612 | − | 0.679355i | 0.466201 | − | 0.0990942i | 0.0311791 | − | 0.999514i | \(-0.490074\pi\) |
0.435022 | + | 0.900420i | \(0.356740\pi\) | |||||||
\(48\) | 1.47552 | + | 4.54119i | 0.212973 | + | 0.655464i | ||||
\(49\) | 1.37856 | − | 6.86291i | 0.196937 | − | 0.980416i | ||||
\(50\) | 10.6495 | − | 7.73730i | 1.50606 | − | 1.09422i | ||||
\(51\) | −3.35844 | + | 3.72993i | −0.470276 | + | 0.522294i | ||||
\(52\) | 2.18788 | + | 2.42988i | 0.303404 | + | 0.336964i | ||||
\(53\) | −11.1909 | + | 4.98252i | −1.53719 | + | 0.684402i | −0.988444 | − | 0.151586i | \(-0.951562\pi\) |
−0.548748 | + | 0.835988i | \(0.684895\pi\) | |||||||
\(54\) | −0.931995 | − | 1.61426i | −0.126828 | − | 0.219673i | ||||
\(55\) | −5.45107 | − | 10.1473i | −0.735023 | − | 1.36826i | ||||
\(56\) | 0.942354 | + | 2.41439i | 0.125927 | + | 0.322637i | ||||
\(57\) | 0.848199 | + | 0.616252i | 0.112347 | + | 0.0816246i | ||||
\(58\) | −0.774866 | + | 0.164703i | −0.101745 | + | 0.0216265i | ||||
\(59\) | 1.04318 | + | 0.221734i | 0.135810 | + | 0.0288673i | 0.275315 | − | 0.961354i | \(-0.411218\pi\) |
−0.139505 | + | 0.990221i | \(0.544551\pi\) | |||||||
\(60\) | −0.535275 | − | 5.09280i | −0.0691037 | − | 0.657478i | ||||
\(61\) | 6.60222 | + | 2.93950i | 0.845328 | + | 0.376364i | 0.783250 | − | 0.621707i | \(-0.213561\pi\) |
0.0620780 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(62\) | −0.495495 | − | 1.52498i | −0.0629280 | − | 0.193672i | ||||
\(63\) | −1.45339 | − | 2.21080i | −0.183110 | − | 0.278535i | ||||
\(64\) | 2.74132 | + | 1.99168i | 0.342664 | + | 0.248960i | ||||
\(65\) | 3.85087 | + | 6.66989i | 0.477641 | + | 0.827299i | ||||
\(66\) | −6.17926 | − | 0.189392i | −0.760614 | − | 0.0233125i | ||||
\(67\) | 6.86264 | − | 11.8864i | 0.838405 | − | 1.45216i | −0.0528226 | − | 0.998604i | \(-0.516822\pi\) |
0.891228 | − | 0.453556i | \(-0.149845\pi\) | |||||||
\(68\) | −0.773561 | + | 7.35994i | −0.0938081 | + | 0.892524i | ||||
\(69\) | −2.09779 | + | 6.45633i | −0.252544 | + | 0.777251i | ||||
\(70\) | −2.77413 | − | 16.9017i | −0.331572 | − | 2.02014i | ||||
\(71\) | 13.1390 | − | 9.54608i | 1.55932 | − | 1.13291i | 0.622753 | − | 0.782419i | \(-0.286014\pi\) |
0.936566 | − | 0.350492i | \(-0.113986\pi\) | |||||||
\(72\) | 0.894909 | + | 0.398439i | 0.105466 | + | 0.0469565i | ||||
\(73\) | −4.98262 | − | 1.05909i | −0.583172 | − | 0.123957i | −0.0931271 | − | 0.995654i | \(-0.529686\pi\) |
−0.490045 | + | 0.871697i | \(0.663020\pi\) | |||||||
\(74\) | −1.28232 | − | 1.42416i | −0.149066 | − | 0.165555i | ||||
\(75\) | 0.738178 | − | 7.02330i | 0.0852375 | − | 0.810981i | ||||
\(76\) | 1.54587 | 0.177324 | ||||||||
\(77\) | −8.77169 | + | 0.239731i | −0.999627 | + | 0.0273199i | ||||
\(78\) | 4.13354 | 0.468032 | ||||||||
\(79\) | −0.600949 | + | 5.71765i | −0.0676121 | + | 0.643286i | 0.907268 | + | 0.420554i | \(0.138164\pi\) |
−0.974880 | + | 0.222732i | \(0.928502\pi\) | |||||||
\(80\) | 11.0964 | + | 12.3238i | 1.24062 | + | 1.37785i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −11.1578 | − | 4.96779i | −1.23218 | − | 0.548601i | ||||
\(83\) | −11.1912 | + | 8.13092i | −1.22840 | + | 0.892484i | −0.996769 | − | 0.0803198i | \(-0.974406\pi\) |
−0.231630 | + | 0.972804i | \(0.574406\pi\) | |||||||
\(84\) | −3.64973 | − | 1.37758i | −0.398218 | − | 0.150307i | ||||
\(85\) | −5.38665 | + | 16.5784i | −0.584264 | + | 1.79818i | ||||
\(86\) | 0.588701 | − | 5.60112i | 0.0634813 | − | 0.603984i | ||||
\(87\) | −0.212495 | + | 0.368052i | −0.0227818 | + | 0.0394593i | ||||
\(88\) | 2.68574 | − | 1.82827i | 0.286301 | − | 0.194895i | ||||
\(89\) | 1.78299 | + | 3.08823i | 0.188997 | + | 0.327352i | 0.944916 | − | 0.327313i | \(-0.106143\pi\) |
−0.755919 | + | 0.654665i | \(0.772810\pi\) | |||||||
\(90\) | −5.23734 | − | 3.80515i | −0.552064 | − | 0.401098i | ||||
\(91\) | 5.85731 | − | 0.339889i | 0.614013 | − | 0.0356301i | ||||
\(92\) | 3.09311 | + | 9.51961i | 0.322479 | + | 0.992488i | ||||
\(93\) | −0.785857 | − | 0.349886i | −0.0814896 | − | 0.0362815i | ||||
\(94\) | −0.636644 | − | 6.05726i | −0.0656648 | − | 0.624759i | ||||
\(95\) | 3.56167 | + | 0.757056i | 0.365420 | + | 0.0776723i | ||||
\(96\) | 6.78946 | − | 1.44314i | 0.692947 | − | 0.147290i | ||||
\(97\) | 14.7992 | + | 10.7522i | 1.50263 | + | 1.09172i | 0.969320 | + | 0.245803i | \(0.0790515\pi\) |
0.533309 | + | 0.845921i | \(0.320948\pi\) | |||||||
\(98\) | −12.4537 | − | 3.89272i | −1.25802 | − | 0.393224i | ||||
\(99\) | −2.29372 | + | 2.39559i | −0.230528 | + | 0.240766i | ||||
\(100\) | −5.20631 | − | 9.01759i | −0.520631 | − | 0.901759i | ||||
\(101\) | −14.6986 | + | 6.54422i | −1.46256 | + | 0.651175i | −0.975059 | − | 0.221947i | \(-0.928759\pi\) |
−0.487503 | + | 0.873121i | \(0.662092\pi\) | |||||||
\(102\) | 6.26010 | + | 6.95255i | 0.619843 | + | 0.688405i | ||||
\(103\) | 8.35526 | − | 9.27945i | 0.823268 | − | 0.914332i | −0.174253 | − | 0.984701i | \(-0.555751\pi\) |
0.997521 | + | 0.0703691i | \(0.0224177\pi\) | |||||||
\(104\) | −1.75746 | + | 1.27687i | −0.172333 | + | 0.125207i | ||||
\(105\) | −7.73429 | − | 4.96131i | −0.754789 | − | 0.484175i | ||||
\(106\) | 7.05606 | + | 21.7163i | 0.685345 | + | 2.10927i | ||||
\(107\) | 15.9930 | − | 3.39941i | 1.54610 | − | 0.328634i | 0.645664 | − | 0.763622i | \(-0.276581\pi\) |
0.900436 | + | 0.434988i | \(0.143247\pi\) | |||||||
\(108\) | −1.34699 | + | 0.599717i | −0.129614 | + | 0.0577078i | ||||
\(109\) | −1.11126 | + | 1.92477i | −0.106440 | + | 0.184359i | −0.914326 | − | 0.404980i | \(-0.867278\pi\) |
0.807886 | + | 0.589339i | \(0.200612\pi\) | |||||||
\(110\) | −19.8729 | + | 8.12799i | −1.89481 | + | 0.774973i | ||||
\(111\) | −1.02811 | −0.0975841 | ||||||||
\(112\) | 12.1842 | − | 3.33803i | 1.15130 | − | 0.315414i | ||||
\(113\) | −0.572048 | + | 1.76058i | −0.0538137 | + | 0.165622i | −0.974351 | − | 0.225033i | \(-0.927751\pi\) |
0.920538 | + | 0.390654i | \(0.127751\pi\) | |||||||
\(114\) | 1.30766 | − | 1.45230i | 0.122473 | − | 0.136021i | ||||
\(115\) | 2.46447 | + | 23.4479i | 0.229813 | + | 2.18653i | ||||
\(116\) | 0.0655007 | + | 0.623198i | 0.00608159 | + | 0.0578625i | ||||
\(117\) | 1.48385 | − | 1.64798i | 0.137182 | − | 0.152356i | ||||
\(118\) | 0.614298 | − | 1.89062i | 0.0565507 | − | 0.174045i | ||||
\(119\) | 9.44237 | + | 9.33714i | 0.865580 | + | 0.855934i | ||||
\(120\) | 3.40219 | 0.310576 | ||||||||
\(121\) | 2.75212 | + | 10.6502i | 0.250193 | + | 0.968196i | ||||
\(122\) | 6.73556 | − | 11.6663i | 0.609809 | − | 1.05622i | ||||
\(123\) | −5.98600 | + | 2.66514i | −0.539739 | + | 0.240307i | ||||
\(124\) | −1.24066 | + | 0.263709i | −0.111414 | + | 0.0236818i | ||||
\(125\) | −2.21298 | − | 6.81085i | −0.197935 | − | 0.609181i | ||||
\(126\) | −4.38152 | + | 2.26351i | −0.390337 | + | 0.201650i | ||||
\(127\) | −8.85144 | + | 6.43095i | −0.785438 | + | 0.570654i | −0.906606 | − | 0.421978i | \(-0.861336\pi\) |
0.121168 | + | 0.992632i | \(0.461336\pi\) | |||||||
\(128\) | −5.06281 | + | 5.62281i | −0.447493 | + | 0.496991i | ||||
\(129\) | −2.02175 | − | 2.24538i | −0.178005 | − | 0.197695i | ||||
\(130\) | 13.1148 | − | 5.83909i | 1.15025 | − | 0.512122i | ||||
\(131\) | 7.51089 | + | 13.0092i | 0.656230 | + | 1.13662i | 0.981584 | + | 0.191031i | \(0.0611830\pi\) |
−0.325355 | + | 0.945592i | \(0.605484\pi\) | |||||||
\(132\) | −0.659921 | + | 4.84550i | −0.0574388 | + | 0.421747i | ||||
\(133\) | 1.73356 | − | 2.16546i | 0.150319 | − | 0.187770i | ||||
\(134\) | −20.6977 | − | 15.0378i | −1.78801 | − | 1.29907i | ||||
\(135\) | −3.39714 | + | 0.722085i | −0.292379 | + | 0.0621472i | ||||
\(136\) | −4.80928 | − | 1.02224i | −0.412392 | − | 0.0876567i | ||||
\(137\) | −2.13232 | − | 20.2877i | −0.182177 | − | 1.73330i | −0.578936 | − | 0.815373i | \(-0.696532\pi\) |
0.396759 | − | 0.917923i | \(-0.370135\pi\) | |||||||
\(138\) | 11.5599 | + | 5.14679i | 0.984043 | + | 0.438124i | ||||
\(139\) | −2.75479 | − | 8.47836i | −0.233658 | − | 0.719125i | −0.997297 | − | 0.0734814i | \(-0.976589\pi\) |
0.763639 | − | 0.645644i | \(-0.223411\pi\) | |||||||
\(140\) | −13.5258 | + | 0.784876i | −1.14314 | + | 0.0663341i | ||||
\(141\) | −2.64348 | − | 1.92060i | −0.222621 | − | 0.161744i | ||||
\(142\) | −15.1363 | − | 26.2169i | −1.27021 | − | 2.20007i | ||||
\(143\) | −2.05742 | − | 7.06125i | −0.172050 | − | 0.590491i | ||||
\(144\) | 2.38744 | − | 4.13517i | 0.198954 | − | 0.344598i | ||||
\(145\) | −0.154285 | + | 1.46792i | −0.0128126 | + | 0.121904i | ||||
\(146\) | −2.93413 | + | 9.03033i | −0.242831 | + | 0.747356i | ||||
\(147\) | −6.02257 | + | 3.56772i | −0.496734 | + | 0.294260i | ||||
\(148\) | −1.22640 | + | 0.891030i | −0.100809 | + | 0.0732422i | ||||
\(149\) | −21.1602 | − | 9.42114i | −1.73351 | − | 0.771810i | −0.995256 | − | 0.0972921i | \(-0.968982\pi\) |
−0.738258 | − | 0.674518i | \(-0.764351\pi\) | |||||||
\(150\) | −12.8758 | − | 2.73684i | −1.05131 | − | 0.223462i | ||||
\(151\) | 2.47293 | + | 2.74647i | 0.201244 | + | 0.223505i | 0.835316 | − | 0.549769i | \(-0.185284\pi\) |
−0.634072 | + | 0.773274i | \(0.718618\pi\) | |||||||
\(152\) | −0.107355 | + | 1.02142i | −0.00870766 | + | 0.0828479i | ||||
\(153\) | 5.01911 | 0.405771 | ||||||||
\(154\) | −1.26467 | + | 16.3075i | −0.101910 | + | 1.31409i | ||||
\(155\) | −2.98760 | −0.239970 | ||||||||
\(156\) | 0.341780 | − | 3.25182i | 0.0273643 | − | 0.260354i | ||||
\(157\) | 5.62229 | + | 6.24419i | 0.448708 | + | 0.498340i | 0.924481 | − | 0.381227i | \(-0.124498\pi\) |
−0.475774 | + | 0.879568i | \(0.657832\pi\) | |||||||
\(158\) | 10.4822 | + | 2.22806i | 0.833917 | + | 0.177255i | ||||
\(159\) | 11.1909 | + | 4.98252i | 0.887498 | + | 0.395140i | ||||
\(160\) | 19.5029 | − | 14.1697i | 1.54184 | − | 1.12021i | ||||
\(161\) | 16.8038 | + | 6.34256i | 1.32432 | + | 0.499864i | ||||
\(162\) | −0.576005 | + | 1.77276i | −0.0452552 | + | 0.139281i | ||||
\(163\) | −0.00965020 | + | 0.0918155i | −0.000755862 | + | 0.00719155i | −0.994893 | − | 0.100932i | \(-0.967818\pi\) |
0.994137 | + | 0.108124i | \(0.0344842\pi\) | |||||||
\(164\) | −4.83070 | + | 8.36701i | −0.377214 | + | 0.653354i | ||||
\(165\) | −3.89343 | + | 10.8408i | −0.303103 | + | 0.843955i | ||||
\(166\) | 12.8924 | + | 22.3303i | 1.00065 | + | 1.73317i | ||||
\(167\) | −6.71124 | − | 4.87600i | −0.519331 | − | 0.377316i | 0.297021 | − | 0.954871i | \(-0.404007\pi\) |
−0.816352 | + | 0.577555i | \(0.804007\pi\) | |||||||
\(168\) | 1.16368 | − | 2.31585i | 0.0897802 | − | 0.178672i | ||||
\(169\) | −2.49758 | − | 7.68677i | −0.192122 | − | 0.591290i | ||||
\(170\) | 29.6832 | + | 13.2158i | 2.27659 | + | 1.01361i | ||||
\(171\) | −0.109591 | − | 1.04269i | −0.00838063 | − | 0.0797363i | ||||
\(172\) | −4.35767 | − | 0.926251i | −0.332269 | − | 0.0706260i | ||||
\(173\) | −3.59446 | + | 0.764026i | −0.273282 | + | 0.0580878i | −0.342514 | − | 0.939513i | \(-0.611278\pi\) |
0.0692322 | + | 0.997601i | \(0.477945\pi\) | |||||||
\(174\) | 0.640885 | + | 0.465630i | 0.0485853 | + | 0.0352993i | ||||
\(175\) | −18.4703 | − | 2.81941i | −1.39622 | − | 0.213127i | ||||
\(176\) | −7.49438 | − | 13.9510i | −0.564910 | − | 1.05159i | ||||
\(177\) | −0.533241 | − | 0.923600i | −0.0400808 | − | 0.0694220i | ||||
\(178\) | 6.07229 | − | 2.70356i | 0.455138 | − | 0.202640i | ||||
\(179\) | −12.0863 | − | 13.4232i | −0.903373 | − | 1.00330i | −0.999968 | − | 0.00797377i | \(-0.997462\pi\) |
0.0965950 | − | 0.995324i | \(-0.469205\pi\) | |||||||
\(180\) | −3.42652 | + | 3.80554i | −0.255398 | + | 0.283648i | ||||
\(181\) | −2.17999 | + | 1.58386i | −0.162038 | + | 0.117727i | −0.665849 | − | 0.746086i | \(-0.731931\pi\) |
0.503812 | + | 0.863814i | \(0.331931\pi\) | |||||||
\(182\) | 0.511158 | − | 10.9244i | 0.0378896 | − | 0.809769i | ||||
\(183\) | −2.23328 | − | 6.87331i | −0.165088 | − | 0.508090i | ||||
\(184\) | −6.50478 | + | 1.38263i | −0.479539 | + | 0.101929i | ||||
\(185\) | −3.26197 | + | 1.45232i | −0.239825 | + | 0.106777i | ||||
\(186\) | −0.801728 | + | 1.38863i | −0.0587856 | + | 0.101820i | ||||
\(187\) | 8.76100 | − | 14.1546i | 0.640667 | − | 1.03508i | ||||
\(188\) | −4.81783 | −0.351376 | ||||||||
\(189\) | −0.670440 | + | 2.55940i | −0.0487673 | + | 0.186169i | ||||
\(190\) | 2.09737 | − | 6.45505i | 0.152159 | − | 0.468298i | ||||
\(191\) | 7.63592 | − | 8.48055i | 0.552516 | − | 0.613631i | −0.400594 | − | 0.916256i | \(-0.631196\pi\) |
0.953110 | + | 0.302625i | \(0.0978629\pi\) | |||||||
\(192\) | −0.354190 | − | 3.36989i | −0.0255614 | − | 0.243201i | ||||
\(193\) | −0.509153 | − | 4.84427i | −0.0366496 | − | 0.348698i | −0.997445 | − | 0.0714393i | \(-0.977241\pi\) |
0.960795 | − | 0.277259i | \(-0.0894259\pi\) | |||||||
\(194\) | 22.8157 | − | 25.3394i | 1.63807 | − | 1.81927i | ||||
\(195\) | 2.37997 | − | 7.32478i | 0.170433 | − | 0.524538i | ||||
\(196\) | −4.09209 | + | 9.47536i | −0.292292 | + | 0.676812i | ||||
\(197\) | −4.10130 | −0.292206 | −0.146103 | − | 0.989269i | \(-0.546673\pi\) | ||||
−0.146103 | + | 0.989269i | \(0.546673\pi\) | |||||||
\(198\) | 3.99398 | + | 4.71881i | 0.283840 | + | 0.335351i | ||||
\(199\) | −0.829726 | + | 1.43713i | −0.0588177 | + | 0.101875i | −0.893935 | − | 0.448197i | \(-0.852066\pi\) |
0.835117 | + | 0.550072i | \(0.185400\pi\) | |||||||
\(200\) | 6.31984 | − | 2.81377i | 0.446880 | − | 0.198964i | ||||
\(201\) | −13.4254 | + | 2.85365i | −0.946951 | + | 0.201281i | ||||
\(202\) | 9.26768 | + | 28.5230i | 0.652072 | + | 2.00687i | ||||
\(203\) | 0.946432 | + | 0.607108i | 0.0664265 | + | 0.0426106i | ||||
\(204\) | 5.98712 | − | 4.34990i | 0.419182 | − | 0.304554i | ||||
\(205\) | −15.2274 | + | 16.9118i | −1.06353 | + | 1.18117i | ||||
\(206\) | −15.5741 | − | 17.2968i | −1.08510 | − | 1.20513i | ||||
\(207\) | 6.20169 | − | 2.76117i | 0.431047 | − | 0.191914i | ||||
\(208\) | 5.29434 | + | 9.17007i | 0.367097 | + | 0.635830i | ||||
\(209\) | −3.13181 | − | 1.51098i | −0.216632 | − | 0.104517i | ||||
\(210\) | −10.7041 | + | 13.3710i | −0.738655 | + | 0.922687i | ||||
\(211\) | 10.1590 | + | 7.38097i | 0.699376 | + | 0.508127i | 0.879729 | − | 0.475475i | \(-0.157724\pi\) |
−0.180353 | + | 0.983602i | \(0.557724\pi\) | |||||||
\(212\) | 17.6674 | − | 3.75533i | 1.21340 | − | 0.257917i | ||||
\(213\) | −15.8859 | − | 3.37664i | −1.08848 | − | 0.231364i | ||||
\(214\) | −3.18569 | − | 30.3098i | −0.217769 | − | 2.07194i | ||||
\(215\) | −9.58642 | − | 4.26815i | −0.653788 | − | 0.291085i | ||||
\(216\) | −0.302713 | − | 0.931655i | −0.0205970 | − | 0.0633911i | ||||
\(217\) | −1.02188 | + | 2.03364i | −0.0693697 | + | 0.138053i | ||||
\(218\) | 3.35157 | + | 2.43506i | 0.226997 | + | 0.164923i | ||||
\(219\) | 2.54697 | + | 4.41148i | 0.172108 | + | 0.298100i | ||||
\(220\) | 4.75103 | + | 16.3059i | 0.320314 | + | 1.09934i | ||||
\(221\) | −5.56514 | + | 9.63910i | −0.374352 | + | 0.648396i | ||||
\(222\) | −0.200317 | + | 1.90589i | −0.0134444 | + | 0.127915i | ||||
\(223\) | 7.26071 | − | 22.3462i | 0.486213 | − | 1.49641i | −0.344002 | − | 0.938969i | \(-0.611783\pi\) |
0.830216 | − | 0.557442i | \(-0.188217\pi\) | |||||||
\(224\) | −2.97444 | − | 18.1221i | −0.198738 | − | 1.21083i | ||||
\(225\) | −5.71327 | + | 4.15093i | −0.380884 | + | 0.276729i | ||||
\(226\) | 3.15227 | + | 1.40348i | 0.209686 | + | 0.0933583i | ||||
\(227\) | 22.1157 | + | 4.70084i | 1.46787 | + | 0.312005i | 0.871377 | − | 0.490613i | \(-0.163227\pi\) |
0.596493 | + | 0.802619i | \(0.296561\pi\) | |||||||
\(228\) | −1.03439 | − | 1.14881i | −0.0685041 | − | 0.0760815i | ||||
\(229\) | 1.54641 | − | 14.7131i | 0.102189 | − | 0.972267i | −0.816516 | − | 0.577323i | \(-0.804097\pi\) |
0.918705 | − | 0.394944i | \(-0.129236\pi\) | |||||||
\(230\) | 43.9474 | 2.89780 | ||||||||
\(231\) | 6.04756 | + | 6.35822i | 0.397900 | + | 0.418340i | ||||
\(232\) | −0.416320 | −0.0273327 | ||||||||
\(233\) | 0.323062 | − | 3.07373i | 0.0211645 | − | 0.201367i | −0.978830 | − | 0.204675i | \(-0.934386\pi\) |
0.999995 | + | 0.00330806i | \(0.00105299\pi\) | |||||||
\(234\) | −2.76588 | − | 3.07182i | −0.180811 | − | 0.200811i | ||||
\(235\) | −11.1002 | − | 2.35943i | −0.724099 | − | 0.153912i | ||||
\(236\) | −1.43654 | − | 0.639587i | −0.0935106 | − | 0.0416336i | ||||
\(237\) | 4.65116 | − | 3.37926i | 0.302125 | − | 0.219507i | ||||
\(238\) | 19.1487 | − | 15.6848i | 1.24123 | − | 1.01670i | ||||
\(239\) | −6.89040 | + | 21.2065i | −0.445703 | + | 1.37173i | 0.436008 | + | 0.899943i | \(0.356392\pi\) |
−0.881711 | + | 0.471790i | \(0.843608\pi\) | |||||||
\(240\) | 1.73343 | − | 16.4925i | 0.111893 | − | 1.06459i | ||||
\(241\) | −2.66332 | + | 4.61301i | −0.171560 | + | 0.297150i | −0.938965 | − | 0.344012i | \(-0.888214\pi\) |
0.767406 | + | 0.641162i | \(0.221547\pi\) | |||||||
\(242\) | 20.2793 | − | 3.02675i | 1.30360 | − | 0.194567i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −8.62086 | − | 6.26342i | −0.551894 | − | 0.400975i | ||||
\(245\) | −14.0685 | + | 19.8271i | −0.898803 | + | 1.26671i | ||||
\(246\) | 3.77427 | + | 11.6160i | 0.240638 | + | 0.740609i | ||||
\(247\) | 2.12397 | + | 0.945654i | 0.135145 | + | 0.0601705i | ||||
\(248\) | −0.0880840 | − | 0.838063i | −0.00559334 | − | 0.0532171i | ||||
\(249\) | 13.5309 | + | 2.87607i | 0.857483 | + | 0.182264i | ||||
\(250\) | −13.0570 | + | 2.77535i | −0.825797 | + | 0.175528i | ||||
\(251\) | −17.0453 | − | 12.3842i | −1.07589 | − | 0.781682i | −0.0989307 | − | 0.995094i | \(-0.531542\pi\) |
−0.976962 | + | 0.213412i | \(0.931542\pi\) | |||||||
\(252\) | 1.41840 | + | 3.63406i | 0.0893507 | + | 0.228924i | ||||
\(253\) | 3.03835 | − | 22.3093i | 0.191020 | − | 1.40257i | ||||
\(254\) | 10.1969 | + | 17.6616i | 0.639813 | + | 1.10819i | ||||
\(255\) | 15.9245 | − | 7.09006i | 0.997232 | − | 0.443996i | ||||
\(256\) | 13.9717 | + | 15.5171i | 0.873229 | + | 0.969819i | ||||
\(257\) | −2.98221 | + | 3.31208i | −0.186025 | + | 0.206602i | −0.828943 | − | 0.559334i | \(-0.811057\pi\) |
0.642918 | + | 0.765935i | \(0.277724\pi\) | |||||||
\(258\) | −4.55636 | + | 3.31039i | −0.283667 | + | 0.206096i | ||||
\(259\) | −0.127137 | + | 2.71716i | −0.00789994 | + | 0.168836i | ||||
\(260\) | −3.50917 | − | 10.8001i | −0.217629 | − | 0.669794i | ||||
\(261\) | 0.415703 | − | 0.0883603i | 0.0257314 | − | 0.00546937i | ||||
\(262\) | 25.5797 | − | 11.3888i | 1.58032 | − | 0.703603i | ||||
\(263\) | 7.47232 | − | 12.9424i | 0.460763 | − | 0.798064i | −0.538236 | − | 0.842794i | \(-0.680909\pi\) |
0.998999 | + | 0.0447295i | \(0.0142426\pi\) | |||||||
\(264\) | −3.15578 | − | 0.772539i | −0.194225 | − | 0.0475465i | ||||
\(265\) | 42.5447 | 2.61350 | ||||||||
\(266\) | −3.67653 | − | 3.63555i | −0.225422 | − | 0.222910i | ||||
\(267\) | 1.10195 | − | 3.39145i | 0.0674382 | − | 0.207553i | ||||
\(268\) | −13.5415 | + | 15.0393i | −0.827176 | + | 0.918672i | ||||
\(269\) | 1.55712 | + | 14.8150i | 0.0949392 | + | 0.903286i | 0.933524 | + | 0.358515i | \(0.116717\pi\) |
−0.838585 | + | 0.544771i | \(0.816617\pi\) | |||||||
\(270\) | 0.676687 | + | 6.43824i | 0.0411818 | + | 0.391819i | ||||
\(271\) | 15.1619 | − | 16.8390i | 0.921022 | − | 1.02290i | −0.0786402 | − | 0.996903i | \(-0.525058\pi\) |
0.999662 | − | 0.0259953i | \(-0.00827549\pi\) | |||||||
\(272\) | −7.40581 | + | 22.7927i | −0.449043 | + | 1.38201i | ||||
\(273\) | −4.17189 | − | 4.12540i | −0.252494 | − | 0.249680i | ||||
\(274\) | −38.0244 | −2.29714 | ||||||||
\(275\) | 1.73351 | + | 23.3577i | 0.104534 | + | 1.40852i | ||||
\(276\) | 5.00476 | − | 8.66849i | 0.301251 | − | 0.521782i | ||||
\(277\) | −13.2626 | + | 5.90490i | −0.796874 | + | 0.354791i | −0.764450 | − | 0.644683i | \(-0.776989\pi\) |
−0.0324242 | + | 0.999474i | \(0.510323\pi\) | |||||||
\(278\) | −16.2538 | + | 3.45484i | −0.974836 | + | 0.207208i | ||||
\(279\) | 0.265825 | + | 0.818125i | 0.0159145 | + | 0.0489799i | ||||
\(280\) | 0.420718 | − | 8.99150i | 0.0251427 | − | 0.537345i | ||||
\(281\) | −1.22012 | + | 0.886467i | −0.0727861 | + | 0.0528822i | −0.623583 | − | 0.781757i | \(-0.714324\pi\) |
0.550797 | + | 0.834639i | \(0.314324\pi\) | |||||||
\(282\) | −4.07542 | + | 4.52622i | −0.242688 | + | 0.269532i | ||||
\(283\) | 9.18557 | + | 10.2016i | 0.546026 | + | 0.606423i | 0.951487 | − | 0.307689i | \(-0.0995558\pi\) |
−0.405461 | + | 0.914112i | \(0.632889\pi\) | |||||||
\(284\) | −21.8761 | + | 9.73986i | −1.29811 | + | 0.577955i | ||||
\(285\) | −1.82062 | − | 3.15341i | −0.107844 | − | 0.186792i | ||||
\(286\) | −13.4909 | + | 2.43820i | −0.797731 | + | 0.144174i | ||||
\(287\) | 6.30335 | + | 16.1497i | 0.372075 | + | 0.953288i | ||||
\(288\) | −5.61550 | − | 4.07990i | −0.330897 | − | 0.240411i | ||||
\(289\) | −8.01248 | + | 1.70311i | −0.471323 | + | 0.100183i | ||||
\(290\) | 2.69114 | + | 0.572019i | 0.158029 | + | 0.0335901i | ||||
\(291\) | −1.91212 | − | 18.1926i | −0.112090 | − | 1.06647i | ||||
\(292\) | 6.86147 | + | 3.05492i | 0.401537 | + | 0.178776i | ||||
\(293\) | −0.716316 | − | 2.20459i | −0.0418476 | − | 0.128794i | 0.927950 | − | 0.372705i | \(-0.121570\pi\) |
−0.969798 | + | 0.243911i | \(0.921570\pi\) | |||||||
\(294\) | 5.44032 | + | 11.8597i | 0.317286 | + | 0.691669i | ||||
\(295\) | −2.99654 | − | 2.17711i | −0.174465 | − | 0.126757i | ||||
\(296\) | −0.503570 | − | 0.872208i | −0.0292694 | − | 0.0506961i | ||||
\(297\) | 3.31507 | + | 0.101605i | 0.192360 | + | 0.00589574i | ||||
\(298\) | −21.5876 | + | 37.3908i | −1.25054 | + | 2.16599i | ||||
\(299\) | −1.57360 | + | 14.9718i | −0.0910034 | + | 0.865839i | ||||
\(300\) | −3.21768 | + | 9.90299i | −0.185773 | + | 0.571749i | ||||
\(301\) | −6.18424 | + | 5.06554i | −0.356454 | + | 0.291973i | ||||
\(302\) | 5.57317 | − | 4.04915i | 0.320700 | − | 0.233002i | ||||
\(303\) | 14.6986 | + | 6.54422i | 0.844411 | + | 0.375956i | ||||
\(304\) | 4.89674 | + | 1.04084i | 0.280848 | + | 0.0596960i | ||||
\(305\) | −16.7950 | − | 18.6527i | −0.961679 | − | 1.06805i | ||||
\(306\) | 0.977924 | − | 9.30433i | 0.0559042 | − | 0.531893i | ||||
\(307\) | −19.8671 | −1.13387 | −0.566937 | − | 0.823761i | \(-0.691872\pi\) | ||||
−0.566937 | + | 0.823761i | \(0.691872\pi\) | |||||||
\(308\) | 12.7244 | + | 2.34328i | 0.725039 | + | 0.133521i | ||||
\(309\) | −12.4867 | −0.710346 | ||||||||
\(310\) | −0.582105 | + | 5.53836i | −0.0330613 | + | 0.314558i | ||||
\(311\) | −8.09647 | − | 8.99205i | −0.459109 | − | 0.509892i | 0.468490 | − | 0.883469i | \(-0.344798\pi\) |
−0.927599 | + | 0.373576i | \(0.878131\pi\) | |||||||
\(312\) | 2.12487 | + | 0.451655i | 0.120297 | + | 0.0255699i | ||||
\(313\) | −5.64206 | − | 2.51201i | −0.318908 | − | 0.141987i | 0.241039 | − | 0.970515i | \(-0.422512\pi\) |
−0.559947 | + | 0.828528i | \(0.689178\pi\) | |||||||
\(314\) | 12.6708 | − | 9.20587i | 0.715054 | − | 0.519517i | ||||
\(315\) | 1.48828 | + | 9.06747i | 0.0838548 | + | 0.510894i | ||||
\(316\) | 2.61950 | − | 8.06200i | 0.147359 | − | 0.453523i | ||||
\(317\) | −0.0688763 | + | 0.655314i | −0.00386848 | + | 0.0368061i | −0.996286 | − | 0.0861075i | \(-0.972557\pi\) |
0.992417 | + | 0.122914i | \(0.0392238\pi\) | |||||||
\(318\) | 11.4169 | − | 19.7747i | 0.640230 | − | 1.10891i | ||||
\(319\) | 0.476433 | − | 1.32657i | 0.0266751 | − | 0.0742737i | ||||
\(320\) | −5.88411 | − | 10.1916i | −0.328932 | − | 0.569727i | ||||
\(321\) | −13.2277 | − | 9.61045i | −0.738296 | − | 0.536403i | ||||
\(322\) | 15.0318 | − | 29.9147i | 0.837687 | − | 1.66708i | ||||
\(323\) | 1.62611 | + | 5.00464i | 0.0904790 | + | 0.278466i | ||||
\(324\) | 1.34699 | + | 0.599717i | 0.0748326 | + | 0.0333176i | ||||
\(325\) | −1.63697 | − | 15.5747i | −0.0908027 | − | 0.863930i | ||||
\(326\) | 0.168325 | + | 0.0357787i | 0.00932269 | + | 0.00198160i | ||||
\(327\) | 2.17396 | − | 0.462090i | 0.120220 | − | 0.0255536i | ||||
\(328\) | −5.19293 | − | 3.77289i | −0.286732 | − | 0.208323i | ||||
\(329\) | −5.40277 | + | 6.74884i | −0.297864 | + | 0.372076i | ||||
\(330\) | 19.3379 | + | 9.32978i | 1.06451 | + | 0.513588i | ||||
\(331\) | −3.91416 | − | 6.77953i | −0.215142 | − | 0.372637i | 0.738175 | − | 0.674610i | \(-0.235688\pi\) |
−0.953316 | + | 0.301973i | \(0.902355\pi\) | |||||||
\(332\) | 18.6331 | − | 8.29597i | 1.02262 | − | 0.455301i | ||||
\(333\) | 0.687941 | + | 0.764036i | 0.0376990 | + | 0.0418689i | ||||
\(334\) | −10.3466 | + | 11.4911i | −0.566143 | + | 0.628766i | ||||
\(335\) | −38.5646 | + | 28.0188i | −2.10701 | + | 1.53083i | ||||
\(336\) | −10.6334 | − | 6.82104i | −0.580102 | − | 0.372118i | ||||
\(337\) | −2.51962 | − | 7.75460i | −0.137253 | − | 0.422420i | 0.858681 | − | 0.512511i | \(-0.171284\pi\) |
−0.995934 | + | 0.0900903i | \(0.971284\pi\) | |||||||
\(338\) | −14.7362 | + | 3.13228i | −0.801544 | + | 0.170373i | ||||
\(339\) | 1.69114 | − | 0.752945i | 0.0918502 | − | 0.0408944i | ||||
\(340\) | 12.8511 | − | 22.2587i | 0.696948 | − | 1.20715i | ||||
\(341\) | 2.77122 | + | 0.678398i | 0.150070 | + | 0.0367373i | ||||
\(342\) | −1.95427 | −0.105675 | ||||||||
\(343\) | 8.68422 | + | 16.3580i | 0.468904 | + | 0.883249i | ||||
\(344\) | 0.914635 | − | 2.81496i | 0.0493138 | − | 0.151772i | ||||
\(345\) | 15.7761 | − | 17.5211i | 0.849357 | − | 0.943307i | ||||
\(346\) | 0.715991 | + | 6.81220i | 0.0384919 | + | 0.366226i | ||||
\(347\) | 1.49369 | + | 14.2115i | 0.0801853 | + | 0.762913i | 0.958551 | + | 0.284922i | \(0.0919678\pi\) |
−0.878365 | + | 0.477990i | \(0.841365\pi\) | |||||||
\(348\) | 0.419298 | − | 0.465677i | 0.0224767 | − | 0.0249629i | ||||
\(349\) | 8.55755 | − | 26.3374i | 0.458075 | − | 1.40981i | −0.409411 | − | 0.912350i | \(-0.634266\pi\) |
0.867486 | − | 0.497461i | \(-0.165734\pi\) | |||||||
\(350\) | −8.82532 | + | 33.6905i | −0.471733 | + | 1.80084i | ||||
\(351\) | −2.21758 | −0.118366 | ||||||||
\(352\) | −21.3079 | + | 8.71487i | −1.13571 | + | 0.464504i | ||||
\(353\) | 6.73552 | − | 11.6663i | 0.358495 | − | 0.620932i | −0.629214 | − | 0.777232i | \(-0.716623\pi\) |
0.987710 | + | 0.156300i | \(0.0499565\pi\) | |||||||
\(354\) | −1.81605 | + | 0.808556i | −0.0965218 | + | 0.0429743i | ||||
\(355\) | −55.1722 | + | 11.7272i | −2.92824 | + | 0.622416i | ||||
\(356\) | −1.62478 | − | 5.00056i | −0.0861132 | − | 0.265029i | ||||
\(357\) | 0.620669 | − | 13.2648i | 0.0328493 | − | 0.702048i | ||||
\(358\) | −27.2386 | + | 19.7900i | −1.43960 | + | 1.04593i | ||||
\(359\) | −8.76127 | + | 9.73037i | −0.462402 | + | 0.513550i | −0.928575 | − | 0.371144i | \(-0.878966\pi\) |
0.466173 | + | 0.884693i | \(0.345632\pi\) | |||||||
\(360\) | −2.27651 | − | 2.52832i | −0.119982 | − | 0.133254i | ||||
\(361\) | −16.3532 | + | 7.28091i | −0.860694 | + | 0.383206i | ||||
\(362\) | 2.51137 | + | 4.34983i | 0.131995 | + | 0.228622i | ||||
\(363\) | 6.07308 | − | 9.17157i | 0.318754 | − | 0.481383i | ||||
\(364\) | −8.55184 | − | 1.30540i | −0.448238 | − | 0.0684216i | ||||
\(365\) | 14.3127 | + | 10.3988i | 0.749160 | + | 0.544296i | ||||
\(366\) | −13.1767 | + | 2.80080i | −0.688759 | + | 0.146400i | ||||
\(367\) | 19.1656 | + | 4.07378i | 1.00044 | + | 0.212650i | 0.678887 | − | 0.734242i | \(-0.262462\pi\) |
0.321551 | + | 0.946892i | \(0.395796\pi\) | |||||||
\(368\) | 3.38826 | + | 32.2372i | 0.176625 | + | 1.68048i | ||||
\(369\) | 5.98600 | + | 2.66514i | 0.311619 | + | 0.138742i | ||||
\(370\) | 2.05672 | + | 6.32995i | 0.106924 | + | 0.329078i | ||||
\(371\) | 14.5520 | − | 28.9599i | 0.755502 | − | 1.50352i | ||||
\(372\) | 1.02613 | + | 0.745530i | 0.0532026 | + | 0.0386540i | ||||
\(373\) | −7.57666 | − | 13.1232i | −0.392304 | − | 0.679491i | 0.600449 | − | 0.799663i | \(-0.294989\pi\) |
−0.992753 | + | 0.120172i | \(0.961655\pi\) | |||||||
\(374\) | −24.5324 | − | 18.9988i | −1.26854 | − | 0.982406i | ||||
\(375\) | −3.58068 | + | 6.20191i | −0.184905 | + | 0.320265i | ||||
\(376\) | 0.334581 | − | 3.18333i | 0.0172547 | − | 0.164168i | ||||
\(377\) | −0.291232 | + | 0.896321i | −0.0149992 | + | 0.0461629i | ||||
\(378\) | 4.61393 | + | 1.74152i | 0.237315 | + | 0.0895742i | ||||
\(379\) | −9.29592 | + | 6.75388i | −0.477499 | + | 0.346924i | −0.800357 | − | 0.599524i | \(-0.795357\pi\) |
0.322857 | + | 0.946448i | \(0.395357\pi\) | |||||||
\(380\) | −4.90470 | − | 2.18371i | −0.251606 | − | 0.112022i | ||||
\(381\) | 10.7019 | + | 2.27476i | 0.548275 | + | 0.116539i | ||||
\(382\) | −14.2333 | − | 15.8077i | −0.728238 | − | 0.808790i | ||||
\(383\) | 0.327657 | − | 3.11744i | 0.0167425 | − | 0.159294i | −0.982956 | − | 0.183840i | \(-0.941147\pi\) |
0.999699 | + | 0.0245457i | \(0.00781394\pi\) | |||||||
\(384\) | 7.56624 | 0.386113 | ||||||||
\(385\) | 28.1693 | + | 11.6304i | 1.43564 | + | 0.592739i | ||||
\(386\) | −9.07940 | −0.462130 | ||||||||
\(387\) | −0.315828 | + | 3.00491i | −0.0160545 | + | 0.152748i | ||||
\(388\) | −18.0478 | − | 20.0441i | −0.916238 | − | 1.01758i | ||||
\(389\) | 21.6169 | + | 4.59482i | 1.09602 | + | 0.232967i | 0.720229 | − | 0.693737i | \(-0.244037\pi\) |
0.375794 | + | 0.926703i | \(0.377370\pi\) | |||||||
\(390\) | −13.1148 | − | 5.83909i | −0.664095 | − | 0.295674i | ||||
\(391\) | −27.5654 | + | 20.0274i | −1.39404 | + | 1.01283i | ||||
\(392\) | −5.97656 | − | 3.36184i | −0.301862 | − | 0.169798i | ||||
\(393\) | 4.64199 | − | 14.2866i | 0.234157 | − | 0.720662i | ||||
\(394\) | −0.799098 | + | 7.60291i | −0.0402580 | + | 0.383029i | ||||
\(395\) | 9.98350 | − | 17.2919i | 0.502324 | − | 0.870051i | ||||
\(396\) | 4.04248 | − | 2.75186i | 0.203142 | − | 0.138286i | ||||
\(397\) | −13.1278 | − | 22.7381i | −0.658867 | − | 1.14119i | −0.980909 | − | 0.194466i | \(-0.937703\pi\) |
0.322043 | − | 0.946725i | \(-0.395631\pi\) | |||||||
\(398\) | 2.50245 | + | 1.81814i | 0.125437 | + | 0.0911351i | ||||
\(399\) | −2.76923 | + | 0.160694i | −0.138635 | + | 0.00804474i | ||||
\(400\) | −10.4201 | − | 32.0698i | −0.521005 | − | 1.60349i | ||||
\(401\) | 19.6706 | + | 8.75792i | 0.982304 | + | 0.437350i | 0.834104 | − | 0.551608i | \(-0.185985\pi\) |
0.148200 | + | 0.988957i | \(0.452652\pi\) | |||||||
\(402\) | 2.67423 | + | 25.4436i | 0.133379 | + | 1.26901i | ||||
\(403\) | −1.86594 | − | 0.396617i | −0.0929489 | − | 0.0197569i | ||||
\(404\) | 23.2050 | − | 4.93239i | 1.15449 | − | 0.245395i | ||||
\(405\) | 2.80975 | + | 2.04140i | 0.139617 | + | 0.101438i | ||||
\(406\) | 1.30985 | − | 1.63619i | 0.0650066 | − | 0.0812026i | ||||
\(407\) | 3.35550 | − | 0.606439i | 0.166326 | − | 0.0300600i | ||||
\(408\) | 2.45836 | + | 4.25801i | 0.121707 | + | 0.210803i | ||||
\(409\) | −10.2397 | + | 4.55902i | −0.506321 | + | 0.225429i | −0.643968 | − | 0.765053i | \(-0.722713\pi\) |
0.137646 | + | 0.990481i | \(0.456046\pi\) | |||||||
\(410\) | 28.3838 | + | 31.5234i | 1.40178 | + | 1.55683i | ||||
\(411\) | −13.6499 | + | 15.1598i | −0.673300 | + | 0.747775i | ||||
\(412\) | −14.8950 | + | 10.8218i | −0.733823 | + | 0.533154i | ||||
\(413\) | −2.50689 | + | 1.29507i | −0.123356 | + | 0.0637261i | ||||
\(414\) | −3.91026 | − | 12.0345i | −0.192179 | − | 0.591466i | ||||
\(415\) | 46.9932 | − | 9.98871i | 2.30680 | − | 0.490326i | ||||
\(416\) | 14.0618 | − | 6.26071i | 0.689435 | − | 0.306956i | ||||
\(417\) | −4.45734 | + | 7.72034i | −0.218277 | + | 0.378067i | ||||
\(418\) | −3.41122 | + | 5.51128i | −0.166848 | + | 0.269566i | ||||
\(419\) | 22.4366 | 1.09610 | 0.548050 | − | 0.836445i | \(-0.315370\pi\) | ||||
0.548050 | + | 0.836445i | \(0.315370\pi\) | |||||||
\(420\) | 9.63378 | + | 9.52641i | 0.470080 | + | 0.464841i | ||||
\(421\) | −3.89935 | + | 12.0010i | −0.190043 | + | 0.584891i | −0.999999 | − | 0.00159963i | \(-0.999491\pi\) |
0.809956 | + | 0.586490i | \(0.199491\pi\) | |||||||
\(422\) | 15.6621 | − | 17.3945i | 0.762418 | − | 0.846751i | ||||
\(423\) | 0.341549 | + | 3.24962i | 0.0166067 | + | 0.158002i | ||||
\(424\) | 1.25435 | + | 11.9344i | 0.0609167 | + | 0.579584i | ||||
\(425\) | 23.7173 | − | 26.3407i | 1.15046 | − | 1.27771i | ||||
\(426\) | −9.35475 | + | 28.7910i | −0.453239 | + | 1.39493i | ||||
\(427\) | −18.4414 | + | 5.05227i | −0.892441 | + | 0.244497i | ||||
\(428\) | −24.1078 | −1.16530 | ||||||||
\(429\) | −3.87084 | + | 6.25386i | −0.186886 | + | 0.301939i | ||||
\(430\) | −9.78002 | + | 16.9395i | −0.471635 | + | 0.816895i | ||||
\(431\) | 34.3179 | − | 15.2793i | 1.65303 | − | 0.735978i | 0.653258 | − | 0.757135i | \(-0.273402\pi\) |
0.999776 | + | 0.0211570i | \(0.00673499\pi\) | |||||||
\(432\) | −4.67054 | + | 0.992755i | −0.224712 | + | 0.0477639i | ||||
\(433\) | 7.40552 | + | 22.7918i | 0.355886 | + | 1.09531i | 0.955494 | + | 0.295011i | \(0.0953234\pi\) |
−0.599607 | + | 0.800294i | \(0.704677\pi\) | |||||||
\(434\) | 3.57082 | + | 2.29058i | 0.171405 | + | 0.109951i | ||||
\(435\) | 1.19411 | − | 0.867574i | 0.0572533 | − | 0.0415970i | ||||
\(436\) | 2.19276 | − | 2.43531i | 0.105014 | − | 0.116630i | ||||
\(437\) | 4.76245 | + | 5.28924i | 0.227819 | + | 0.253019i | ||||
\(438\) | 8.67416 | − | 3.86199i | 0.414468 | − | 0.184533i | ||||
\(439\) | −0.208627 | − | 0.361352i | −0.00995721 | − | 0.0172464i | 0.861004 | − | 0.508598i | \(-0.169836\pi\) |
−0.870961 | + | 0.491352i | \(0.836503\pi\) | |||||||
\(440\) | −11.1039 | + | 2.00680i | −0.529357 | + | 0.0956705i | ||||
\(441\) | 6.68122 | + | 2.08838i | 0.318153 | + | 0.0994465i | ||||
\(442\) | 16.7845 | + | 12.1946i | 0.798355 | + | 0.580039i | ||||
\(443\) | −9.20536 | + | 1.95666i | −0.437360 | + | 0.0929637i | −0.421329 | − | 0.906908i | \(-0.638436\pi\) |
−0.0160307 | + | 0.999871i | \(0.505103\pi\) | |||||||
\(444\) | 1.48279 | + | 0.315176i | 0.0703699 | + | 0.0149576i | ||||
\(445\) | −1.29456 | − | 12.3169i | −0.0613681 | − | 0.583879i | ||||
\(446\) | −40.0102 | − | 17.8137i | −1.89454 | − | 0.843503i | ||||
\(447\) | 7.15769 | + | 22.0291i | 0.338547 | + | 1.04194i | ||||
\(448\) | −8.94995 | + | 0.519350i | −0.422845 | + | 0.0245370i | ||||
\(449\) | 14.4666 | + | 10.5106i | 0.682720 | + | 0.496025i | 0.874259 | − | 0.485460i | \(-0.161348\pi\) |
−0.191539 | + | 0.981485i | \(0.561348\pi\) | |||||||
\(450\) | 6.58174 | + | 11.3999i | 0.310266 | + | 0.537397i | ||||
\(451\) | 17.9648 | − | 12.2292i | 0.845927 | − | 0.575852i | ||||
\(452\) | 1.36475 | − | 2.36382i | 0.0641925 | − | 0.111185i | ||||
\(453\) | 0.386310 | − | 3.67549i | 0.0181504 | − | 0.172690i | ||||
\(454\) | 13.0233 | − | 40.0817i | 0.611215 | − | 1.88113i | ||||
\(455\) | −19.0641 | − | 7.19571i | −0.893737 | − | 0.337340i | ||||
\(456\) | 0.830895 | − | 0.603681i | 0.0389102 | − | 0.0282699i | ||||
\(457\) | 25.3173 | + | 11.2720i | 1.18430 | + | 0.527282i | 0.901870 | − | 0.432007i | \(-0.142194\pi\) |
0.282425 | + | 0.959289i | \(0.408861\pi\) | |||||||
\(458\) | −26.9735 | − | 5.73339i | −1.26039 | − | 0.267904i | ||||
\(459\) | −3.35844 | − | 3.72993i | −0.156759 | − | 0.174098i | ||||
\(460\) | 3.63377 | − | 34.5730i | 0.169425 | − | 1.61197i | ||||
\(461\) | 31.1388 | 1.45028 | 0.725140 | − | 0.688602i | \(-0.241775\pi\) | ||||
0.725140 | + | 0.688602i | \(0.241775\pi\) | |||||||
\(462\) | 12.9651 | − | 9.97201i | 0.603189 | − | 0.463940i | ||||
\(463\) | 14.7614 | 0.686020 | 0.343010 | − | 0.939332i | \(-0.388554\pi\) | ||||
0.343010 | + | 0.939332i | \(0.388554\pi\) | |||||||
\(464\) | −0.212117 | + | 2.01816i | −0.00984730 | + | 0.0936908i | ||||
\(465\) | 1.99910 | + | 2.22022i | 0.0927059 | + | 0.102960i | ||||
\(466\) | −5.63507 | − | 1.19777i | −0.261040 | − | 0.0554857i | ||||
\(467\) | 21.3849 | + | 9.52117i | 0.989575 | + | 0.440587i | 0.836702 | − | 0.547659i | \(-0.184481\pi\) |
0.152873 | + | 0.988246i | \(0.451147\pi\) | |||||||
\(468\) | −2.64527 | + | 1.92190i | −0.122278 | + | 0.0888399i | ||||
\(469\) | 5.88160 | + | 35.8342i | 0.271587 | + | 1.65467i | ||||
\(470\) | −6.53663 | + | 20.1177i | −0.301512 | + | 0.927959i | ||||
\(471\) | 0.878288 | − | 8.35636i | 0.0404694 | − | 0.385041i | ||||
\(472\) | 0.522363 | − | 0.904759i | 0.0240437 | − | 0.0416449i | ||||
\(473\) | 7.92294 | + | 6.13582i | 0.364297 | + | 0.282126i | ||||
\(474\) | −5.35818 | − | 9.28064i | −0.246109 | − | 0.426274i | ||||
\(475\) | −5.98997 | − | 4.35197i | −0.274839 | − | 0.199682i | ||||
\(476\) | −10.7558 | − | 16.3610i | −0.492991 | − | 0.749906i | ||||
\(477\) | −3.78546 | − | 11.6504i | −0.173324 | − | 0.533437i | ||||
\(478\) | 37.9696 | + | 16.9051i | 1.73669 | + | 0.773223i | ||||
\(479\) | −0.912225 | − | 8.67924i | −0.0416806 | − | 0.396565i | −0.995396 | − | 0.0958524i | \(-0.969442\pi\) |
0.953715 | − | 0.300712i | \(-0.0972244\pi\) | |||||||
\(480\) | −23.5801 | − | 5.01210i | −1.07628 | − | 0.228770i | ||||
\(481\) | −2.23010 | + | 0.474022i | −0.101684 | + | 0.0216135i | ||||
\(482\) | 8.03259 | + | 5.83602i | 0.365874 | + | 0.265823i | ||||
\(483\) | −6.53047 | − | 16.7316i | −0.297147 | − | 0.761316i | ||||
\(484\) | −0.704332 | − | 16.2038i | −0.0320151 | − | 0.736535i | ||||
\(485\) | −31.7658 | − | 55.0199i | −1.44241 | − | 2.49833i | ||||
\(486\) | 1.70284 | − | 0.758153i | 0.0772424 | − | 0.0343905i | ||||
\(487\) | 2.14624 | + | 2.38364i | 0.0972556 | + | 0.108013i | 0.789808 | − | 0.613355i | \(-0.210180\pi\) |
−0.692552 | + | 0.721368i | \(0.743514\pi\) | |||||||
\(488\) | 4.73718 | − | 5.26117i | 0.214442 | − | 0.238162i | ||||
\(489\) | 0.0746895 | − | 0.0542651i | 0.00337757 | − | 0.00245395i | ||||
\(490\) | 34.0140 | + | 29.9430i | 1.53660 | + | 1.35269i | ||||
\(491\) | −1.37204 | − | 4.22269i | −0.0619191 | − | 0.190567i | 0.915312 | − | 0.402746i | \(-0.131944\pi\) |
−0.977231 | + | 0.212179i | \(0.931944\pi\) | |||||||
\(492\) | 9.45027 | − | 2.00872i | 0.426051 | − | 0.0905599i | ||||
\(493\) | −1.94866 | + | 0.867598i | −0.0877631 | + | 0.0390747i | ||||
\(494\) | 2.16687 | − | 3.75313i | 0.0974920 | − | 0.168861i | ||||
\(495\) | 10.6615 | − | 4.36053i | 0.479199 | − | 0.195991i | ||||
\(496\) | −4.10749 | −0.184432 | ||||||||
\(497\) | −10.8885 | + | 41.5665i | −0.488414 | + | 1.86451i | ||||
\(498\) | 7.96796 | − | 24.5228i | 0.357053 | − | 1.09890i | ||||
\(499\) | −4.32193 | + | 4.79999i | −0.193476 | + | 0.214877i | −0.832075 | − | 0.554662i | \(-0.812847\pi\) |
0.638599 | + | 0.769539i | \(0.279514\pi\) | |||||||
\(500\) | 1.10373 | + | 10.5013i | 0.0493603 | + | 0.469632i | ||||
\(501\) | 0.867120 | + | 8.25010i | 0.0387401 | + | 0.368587i | ||||
\(502\) | −26.2786 | + | 29.1854i | −1.17287 | + | 1.30261i | ||||
\(503\) | −5.77237 | + | 17.7655i | −0.257377 | + | 0.792126i | 0.735975 | + | 0.677009i | \(0.236724\pi\) |
−0.993352 | + | 0.115117i | \(0.963276\pi\) | |||||||
\(504\) | −2.49967 | + | 0.684819i | −0.111344 | + | 0.0305043i | ||||
\(505\) | 55.8797 | 2.48662 | ||||||||
\(506\) | −40.7645 | − | 9.97918i | −1.81220 | − | 0.443629i | ||||
\(507\) | −4.04117 | + | 6.99952i | −0.179475 | + | 0.310860i | ||||
\(508\) | 14.7374 | − | 6.56150i | 0.653865 | − | 0.291119i | ||||
\(509\) | 40.0113 | − | 8.50466i | 1.77347 | − | 0.376962i | 0.798972 | − | 0.601368i | \(-0.205377\pi\) |
0.974496 | + | 0.224406i | \(0.0720441\pi\) | |||||||
\(510\) | −10.0407 | − | 30.9020i | −0.444608 | − | 1.36836i | ||||
\(511\) | 11.9739 | − | 6.18576i | 0.529694 | − | 0.273642i | ||||
\(512\) | 19.2451 | − | 13.9824i | 0.850520 | − | 0.617939i | ||||
\(513\) | −0.701537 | + | 0.779136i | −0.0309736 | + | 0.0343997i | ||||
\(514\) | 5.55881 | + | 6.17368i | 0.245188 | + | 0.272309i | ||||
\(515\) | −39.6176 | + | 17.6389i | −1.74576 | + | 0.777263i | ||||
\(516\) | 2.22751 | + | 3.85816i | 0.0980607 | + | 0.169846i | ||||
\(517\) | 9.76053 | + | 4.70909i | 0.429268 | + | 0.207105i | ||||
\(518\) | 5.01224 | + | 0.765096i | 0.220225 | + | 0.0336164i | ||||
\(519\) | 2.97295 | + | 2.15997i | 0.130498 | + | 0.0948122i | ||||
\(520\) | 7.37975 | − | 1.56861i | 0.323623 | − | 0.0687883i | ||||
\(521\) | 1.99956 | + | 0.425021i | 0.0876025 | + | 0.0186205i | 0.251504 | − | 0.967856i | \(-0.419075\pi\) |
−0.163902 | + | 0.986477i | \(0.552408\pi\) | |||||||
\(522\) | −0.0828050 | − | 0.787837i | −0.00362428 | − | 0.0344827i | ||||
\(523\) | −5.71039 | − | 2.54243i | −0.249698 | − | 0.111173i | 0.278071 | − | 0.960560i | \(-0.410305\pi\) |
−0.527769 | + | 0.849388i | \(0.676971\pi\) | |||||||
\(524\) | −6.84443 | − | 21.0650i | −0.299000 | − | 0.920228i | ||||
\(525\) | 10.2638 | + | 15.6127i | 0.447950 | + | 0.681393i | ||||
\(526\) | −22.5365 | − | 16.3737i | −0.982638 | − | 0.713929i | ||||
\(527\) | −2.15879 | − | 3.73913i | −0.0940384 | − | 0.162879i | ||||
\(528\) | −5.35286 | + | 14.9044i | −0.232953 | + | 0.648632i | ||||
\(529\) | −11.5425 | + | 19.9922i | −0.501847 | + | 0.869225i | ||||
\(530\) | 8.28941 | − | 78.8685i | 0.360069 | − | 3.42583i | ||||
\(531\) | −0.329561 | + | 1.01428i | −0.0143017 | + | 0.0440162i | ||||
\(532\) | −3.16405 | + | 2.59168i | −0.137179 | + | 0.112364i | ||||
\(533\) | −11.7556 | + | 8.54091i | −0.509189 | + | 0.369948i | ||||
\(534\) | −6.07229 | − | 2.70356i | −0.262774 | − | 0.116994i | ||||
\(535\) | −55.5442 | − | 11.8063i | −2.40139 | − | 0.510431i | ||||
\(536\) | −8.99665 | − | 9.99180i | −0.388596 | − | 0.431580i | ||||
\(537\) | −1.88807 | + | 17.9638i | −0.0814761 | + | 0.775193i | ||||
\(538\) | 27.7671 | 1.19713 | ||||||||
\(539\) | 17.5517 | − | 15.1966i | 0.756007 | − | 0.654563i | ||||
\(540\) | 5.12086 | 0.220367 | ||||||||
\(541\) | 0.509227 | − | 4.84497i | 0.0218934 | − | 0.208302i | −0.978107 | − | 0.208105i | \(-0.933271\pi\) |
1.00000 | 0.000197135i | \(-6.27500e-5\pi\) | ||||||||
\(542\) | −28.2617 | − | 31.3878i | −1.21394 | − | 1.34822i | ||||
\(543\) | 2.63574 | + | 0.560243i | 0.113110 | + | 0.0240423i | ||||
\(544\) | 31.8264 | + | 14.1700i | 1.36455 | + | 0.607536i | ||||
\(545\) | 6.24474 | − | 4.53707i | 0.267495 | − | 0.194347i | ||||
\(546\) | −8.46043 | + | 6.92997i | −0.362073 | + | 0.296575i | ||||
\(547\) | −5.37326 | + | 16.5372i | −0.229744 | + | 0.707080i | 0.768031 | + | 0.640413i | \(0.221237\pi\) |
−0.997775 | + | 0.0666674i | \(0.978763\pi\) | |||||||
\(548\) | −3.14403 | + | 29.9134i | −0.134306 | + | 1.27784i | ||||
\(549\) | −3.61352 | + | 6.25879i | −0.154221 | + | 0.267119i | ||||
\(550\) | 43.6378 | + | 1.33748i | 1.86072 | + | 0.0570303i | ||||
\(551\) | 0.222786 | + | 0.385877i | 0.00949101 | + | 0.0164389i | ||||
\(552\) | 5.38005 | + | 3.90883i | 0.228990 | + | 0.166371i | ||||
\(553\) | −8.35575 | − | 12.7102i | −0.355323 | − | 0.540494i | ||||
\(554\) | 8.36230 | + | 25.7365i | 0.355280 | + | 1.09344i | ||||
\(555\) | 3.26197 | + | 1.45232i | 0.138463 | + | 0.0616477i | ||||
\(556\) | 1.37396 | + | 13.0723i | 0.0582688 | + | 0.554391i | ||||
\(557\) | −16.8112 | − | 3.57334i | −0.712315 | − | 0.151407i | −0.162518 | − | 0.986706i | \(-0.551962\pi\) |
−0.549797 | + | 0.835298i | \(0.685295\pi\) | |||||||
\(558\) | 1.56842 | − | 0.333377i | 0.0663964 | − | 0.0141130i | ||||
\(559\) | −5.42067 | − | 3.93835i | −0.229270 | − | 0.166574i | ||||
\(560\) | −43.3730 | − | 6.62070i | −1.83285 | − | 0.279776i | ||||
\(561\) | −16.3811 | + | 2.96056i | −0.691612 | + | 0.124995i | ||||
\(562\) | 1.40559 | + | 2.43455i | 0.0592911 | + | 0.102695i | ||||
\(563\) | −29.5272 | + | 13.1463i | −1.24442 | + | 0.554052i | −0.920021 | − | 0.391868i | \(-0.871829\pi\) |
−0.324400 | + | 0.945920i | \(0.605162\pi\) | |||||||
\(564\) | 3.22376 | + | 3.58034i | 0.135745 | + | 0.150760i | ||||
\(565\) | 4.30200 | − | 4.77785i | 0.180986 | − | 0.201006i | ||||
\(566\) | 20.7013 | − | 15.0403i | 0.870139 | − | 0.632193i | ||||
\(567\) | 2.35061 | − | 1.21434i | 0.0987165 | − | 0.0509973i | ||||
\(568\) | −4.91629 | − | 15.1308i | −0.206283 | − | 0.634874i | ||||
\(569\) | −20.0273 | + | 4.25694i | −0.839589 | + | 0.178460i | −0.607585 | − | 0.794255i | \(-0.707862\pi\) |
−0.232004 | + | 0.972715i | \(0.574528\pi\) | |||||||
\(570\) | −6.20045 | + | 2.76062i | −0.259708 | + | 0.115630i | ||||
\(571\) | 4.54476 | − | 7.87175i | 0.190192 | − | 0.329422i | −0.755122 | − | 0.655585i | \(-0.772422\pi\) |
0.945314 | + | 0.326162i | \(0.105756\pi\) | |||||||
\(572\) | 0.802622 | + | 10.8147i | 0.0335593 | + | 0.452187i | ||||
\(573\) | −11.4117 | −0.476731 | ||||||||
\(574\) | 31.1662 | − | 8.53841i | 1.30085 | − | 0.356386i | ||||
\(575\) | 14.8146 | − | 45.5945i | 0.617810 | − | 1.90142i | ||||
\(576\) | −2.26732 | + | 2.51811i | −0.0944716 | + | 0.104921i | ||||
\(577\) | −2.92720 | − | 27.8504i | −0.121861 | − | 1.15943i | −0.869018 | − | 0.494781i | \(-0.835248\pi\) |
0.747157 | − | 0.664647i | \(-0.231418\pi\) | |||||||
\(578\) | 1.59603 | + | 15.1852i | 0.0663861 | + | 0.631622i | ||||
\(579\) | −3.25930 | + | 3.61982i | −0.135452 | + | 0.150435i | ||||
\(580\) | 0.672517 | − | 2.06980i | 0.0279248 | − | 0.0859436i | ||||
\(581\) | 9.27430 | − | 35.4045i | 0.384763 | − | 1.46883i | ||||
\(582\) | −34.0976 | −1.41339 | ||||||||
\(583\) | −39.4634 | − | 9.66067i | −1.63441 | − | 0.400104i | ||||
\(584\) | −2.49501 | + | 4.32149i | −0.103244 | + | 0.178824i | ||||
\(585\) | −7.03588 | + | 3.13258i | −0.290898 | + | 0.129516i | ||||
\(586\) | −4.22640 | + | 0.898348i | −0.174591 | + | 0.0371104i | ||||
\(587\) | 4.77233 | + | 14.6877i | 0.196975 | + | 0.606227i | 0.999948 | + | 0.0102110i | \(0.00325033\pi\) |
−0.802973 | + | 0.596016i | \(0.796750\pi\) | |||||||
\(588\) | 9.77971 | − | 3.29924i | 0.403308 | − | 0.136058i | ||||
\(589\) | −0.729644 | + | 0.530117i | −0.0300645 | + | 0.0218431i | ||||
\(590\) | −4.61974 | + | 5.13074i | −0.190192 | + | 0.211229i | ||||
\(591\) | 2.74431 | + | 3.04786i | 0.112886 | + | 0.125372i | ||||
\(592\) | −4.48470 | + | 1.99672i | −0.184320 | + | 0.0820647i | ||||
\(593\) | 11.9567 | + | 20.7096i | 0.491002 | + | 0.850440i | 0.999946 | − | 0.0103595i | \(-0.00329760\pi\) |
−0.508945 | + | 0.860799i | \(0.669964\pi\) | |||||||
\(594\) | 0.834262 | − | 6.12561i | 0.0342302 | − | 0.251337i | ||||
\(595\) | −16.7688 | − | 42.9630i | −0.687453 | − | 1.76131i | ||||
\(596\) | 27.6300 | + | 20.0744i | 1.13177 | + | 0.822279i | ||||
\(597\) | 1.62319 | − | 0.345020i | 0.0664327 | − | 0.0141207i | ||||
\(598\) | 27.4477 | + | 5.83420i | 1.12242 | + | 0.238578i | ||||
\(599\) | −0.230848 | − | 2.19637i | −0.00943219 | − | 0.0897413i | 0.988793 | − | 0.149293i | \(-0.0476996\pi\) |
−0.998225 | + | 0.0595514i | \(0.981033\pi\) | |||||||
\(600\) | −6.31984 | − | 2.81377i | −0.258006 | − | 0.114872i | ||||
\(601\) | −9.84703 | − | 30.3061i | −0.401669 | − | 1.23621i | −0.923645 | − | 0.383249i | \(-0.874805\pi\) |
0.521976 | − | 0.852960i | \(-0.325195\pi\) | |||||||
\(602\) | 8.18545 | + | 12.4512i | 0.333614 | + | 0.507473i | ||||
\(603\) | 11.1040 | + | 8.06752i | 0.452189 | + | 0.328535i | ||||
\(604\) | −2.72461 | − | 4.71917i | −0.110863 | − | 0.192020i | ||||
\(605\) | 6.31267 | − | 37.6782i | 0.256646 | − | 1.53184i | ||||
\(606\) | 14.9954 | − | 25.9728i | 0.609147 | − | 1.05507i | ||||
\(607\) | 1.28745 | − | 12.2493i | 0.0522560 | − | 0.497182i | −0.936824 | − | 0.349801i | \(-0.886249\pi\) |
0.989080 | − | 0.147381i | \(-0.0470843\pi\) | |||||||
\(608\) | 2.24881 | − | 6.92113i | 0.0912014 | − | 0.280689i | ||||
\(609\) | −0.182118 | − | 1.10957i | −0.00737978 | − | 0.0449621i | ||||
\(610\) | −37.8504 | + | 27.4999i | −1.53252 | + | 1.11344i | ||||
\(611\) | −6.61953 | − | 2.94721i | −0.267798 | − | 0.119231i | ||||
\(612\) | −7.23877 | − | 1.53865i | −0.292610 | − | 0.0621961i | ||||
\(613\) | 10.4214 | + | 11.5741i | 0.420915 | + | 0.467473i | 0.915887 | − | 0.401435i | \(-0.131489\pi\) |
−0.494972 | + | 0.868909i | \(0.664822\pi\) | |||||||
\(614\) | −3.87090 | + | 36.8292i | −0.156217 | + | 1.48631i | ||||
\(615\) | 22.7570 | 0.917652 | ||||||||
\(616\) | −2.43196 | + | 8.24476i | −0.0979864 | + | 0.332191i | ||||
\(617\) | −30.3050 | −1.22003 | −0.610016 | − | 0.792389i | \(-0.708837\pi\) | ||||
−0.610016 | + | 0.792389i | \(0.708837\pi\) | |||||||
\(618\) | −2.43292 | + | 23.1477i | −0.0978663 | + | 0.931135i | ||||
\(619\) | 17.7153 | + | 19.6749i | 0.712040 | + | 0.790800i | 0.985244 | − | 0.171156i | \(-0.0547501\pi\) |
−0.273204 | + | 0.961956i | \(0.588083\pi\) | |||||||
\(620\) | 4.30884 | + | 0.915873i | 0.173047 | + | 0.0367823i | ||||
\(621\) | −6.20169 | − | 2.76117i | −0.248865 | − | 0.110802i | ||||
\(622\) | −18.2468 | + | 13.2571i | −0.731629 | + | 0.531560i | ||||
\(623\) | −8.82686 | − | 3.33169i | −0.353641 | − | 0.133481i | ||||
\(624\) | 3.27208 | − | 10.0704i | 0.130988 | − | 0.403140i | ||||
\(625\) | 1.09110 | − | 10.3811i | 0.0436439 | − | 0.415244i | ||||
\(626\) | −5.75600 | + | 9.96969i | −0.230056 | + | 0.398469i | ||||
\(627\) | 0.972713 | + | 3.33843i | 0.0388464 | + | 0.133324i | ||||
\(628\) | −6.19449 | − | 10.7292i | −0.247187 | − | 0.428141i | ||||
\(629\) | −4.17470 | − | 3.03310i | −0.166456 | − | 0.120937i | ||||
\(630\) | 17.0991 | − | 0.992228i | 0.681243 | − | 0.0395313i | ||||
\(631\) | 0.304170 | + | 0.936140i | 0.0121088 | + | 0.0372672i | 0.956928 | − | 0.290324i | \(-0.0937631\pi\) |
−0.944820 | + | 0.327591i | \(0.893763\pi\) | |||||||
\(632\) | 5.14496 | + | 2.29069i | 0.204656 | + | 0.0911186i | ||||
\(633\) | −1.31259 | − | 12.4885i | −0.0521708 | − | 0.496372i | ||||
\(634\) | 1.20139 | + | 0.255363i | 0.0477132 | + | 0.0101418i | ||||
\(635\) | 37.1681 | − | 7.90032i | 1.47497 | − | 0.313515i | ||||
\(636\) | −14.6126 | − | 10.6167i | −0.579426 | − | 0.420978i | ||||
\(637\) | −11.4187 | + | 10.5156i | −0.452427 | + | 0.416642i | ||||
\(638\) | −2.36634 | − | 1.14167i | −0.0936844 | − | 0.0451992i | ||||
\(639\) | 8.12038 | + | 14.0649i | 0.321237 | + | 0.556399i | ||||
\(640\) | 24.0060 | − | 10.6882i | 0.948921 | − | 0.422487i | ||||
\(641\) | 4.85014 | + | 5.38662i | 0.191569 | + | 0.212759i | 0.831276 | − | 0.555860i | \(-0.187611\pi\) |
−0.639707 | + | 0.768619i | \(0.720944\pi\) | |||||||
\(642\) | −20.3929 | + | 22.6487i | −0.804845 | + | 0.893871i | ||||
\(643\) | 8.05300 | − | 5.85085i | 0.317579 | − | 0.230735i | −0.417563 | − | 0.908648i | \(-0.637116\pi\) |
0.735142 | + | 0.677913i | \(0.237116\pi\) | |||||||
\(644\) | −22.2907 | − | 14.2988i | −0.878377 | − | 0.563453i | ||||
\(645\) | 3.24271 | + | 9.98004i | 0.127682 | + | 0.392964i | ||||
\(646\) | 9.59434 | − | 2.03934i | 0.377484 | − | 0.0802367i | ||||
\(647\) | −4.29378 | + | 1.91172i | −0.168806 | + | 0.0751573i | −0.489400 | − | 0.872059i | \(-0.662784\pi\) |
0.320594 | + | 0.947217i | \(0.396118\pi\) | |||||||
\(648\) | −0.489800 | + | 0.848359i | −0.0192412 | + | 0.0333267i | ||||
\(649\) | 2.28516 | + | 2.69986i | 0.0897002 | + | 0.105979i | ||||
\(650\) | −29.1910 | −1.14497 | ||||||||
\(651\) | 2.19506 | − | 0.601368i | 0.0860313 | − | 0.0235695i | ||||
\(652\) | 0.0420647 | − | 0.129462i | 0.00164738 | − | 0.00507011i | ||||
\(653\) | 5.78504 | − | 6.42494i | 0.226386 | − | 0.251427i | −0.619241 | − | 0.785201i | \(-0.712560\pi\) |
0.845628 | + | 0.533773i | \(0.179226\pi\) | |||||||
\(654\) | −0.433038 | − | 4.12008i | −0.0169331 | − | 0.161108i | ||||
\(655\) | −5.45338 | − | 51.8854i | −0.213081 | − | 2.02733i | ||||
\(656\) | −20.9354 | + | 23.2511i | −0.817388 | + | 0.907802i | ||||
\(657\) | 1.57411 | − | 4.84462i | 0.0614120 | − | 0.189007i | ||||
\(658\) | 11.4582 | + | 11.3305i | 0.446687 | + | 0.441708i | ||||
\(659\) | −4.04586 | −0.157604 | −0.0788022 | − | 0.996890i | \(-0.525110\pi\) | ||||
−0.0788022 | + | 0.996890i | \(0.525110\pi\) | |||||||
\(660\) | 8.93859 | − | 14.4415i | 0.347934 | − | 0.562134i | ||||
\(661\) | 8.32331 | − | 14.4164i | 0.323739 | − | 0.560732i | −0.657517 | − | 0.753439i | \(-0.728393\pi\) |
0.981256 | + | 0.192707i | \(0.0617267\pi\) | |||||||
\(662\) | −13.3304 | + | 5.93507i | −0.518100 | + | 0.230673i | ||||
\(663\) | 10.8871 | − | 2.31411i | 0.422818 | − | 0.0898727i | ||||
\(664\) | 4.18747 | + | 12.8877i | 0.162505 | + | 0.500140i | ||||
\(665\) | −8.55915 | + | 4.42169i | −0.331910 | + | 0.171466i | ||||
\(666\) | 1.55039 | − | 1.12643i | 0.0600765 | − | 0.0436482i | ||||
\(667\) | −1.93050 | + | 2.14403i | −0.0747491 | + | 0.0830173i | ||||
\(668\) | 8.18444 | + | 9.08974i | 0.316665 | + | 0.351693i | ||||
\(669\) | −21.4648 | + | 9.55675i | −0.829878 | + | 0.369485i | ||||
\(670\) | 44.4267 | + | 76.9494i | 1.71635 | + | 2.97281i | ||||
\(671\) | 11.3431 | + | 21.1155i | 0.437896 | + | 0.815154i | ||||
\(672\) | −11.4770 | + | 14.3365i | −0.442736 | + | 0.553041i | ||||
\(673\) | −3.01328 | − | 2.18928i | −0.116154 | − | 0.0843905i | 0.528192 | − | 0.849125i | \(-0.322870\pi\) |
−0.644346 | + | 0.764734i | \(0.722870\pi\) | |||||||
\(674\) | −14.8662 | + | 3.15992i | −0.572627 | + | 0.121716i | ||||
\(675\) | 6.90766 | + | 1.46827i | 0.265876 | + | 0.0565137i | ||||
\(676\) | 1.24568 | + | 11.8518i | 0.0479106 | + | 0.455839i | ||||
\(677\) | 22.3019 | + | 9.92944i | 0.857131 | + | 0.381619i | 0.787768 | − | 0.615972i | \(-0.211237\pi\) |
0.0693630 | + | 0.997591i | \(0.477903\pi\) | |||||||
\(678\) | −1.06629 | − | 3.28171i | −0.0409507 | − | 0.126033i | ||||
\(679\) | −48.3169 | + | 2.80374i | −1.85423 | + | 0.107598i | ||||
\(680\) | 13.8147 | + | 10.0370i | 0.529771 | + | 0.384901i | ||||
\(681\) | −11.3049 | − | 19.5806i | −0.433204 | − | 0.750332i | ||||
\(682\) | 1.79755 | − | 5.00506i | 0.0688316 | − | 0.191654i | ||||
\(683\) | 6.37357 | − | 11.0394i | 0.243878 | − | 0.422409i | −0.717938 | − | 0.696108i | \(-0.754914\pi\) |
0.961816 | + | 0.273698i | \(0.0882470\pi\) | |||||||
\(684\) | −0.161587 | + | 1.53740i | −0.00617845 | + | 0.0587840i | ||||
\(685\) | −21.8933 | + | 67.3805i | −0.836498 | + | 2.57448i | ||||
\(686\) | 32.0162 | − | 12.9114i | 1.22238 | − | 0.492960i | ||||
\(687\) | −11.9687 | + | 8.69576i | −0.456634 | + | 0.331764i | ||||
\(688\) | −13.1798 | − | 5.86804i | −0.502477 | − | 0.223717i | ||||
\(689\) | 26.5717 | + | 5.64799i | 1.01230 | + | 0.215171i | ||||
\(690\) | −29.4065 | − | 32.6593i | −1.11949 | − | 1.24332i | ||||
\(691\) | −1.74662 | + | 16.6180i | −0.0664445 | + | 0.632177i | 0.909731 | + | 0.415197i | \(0.136287\pi\) |
−0.976176 | + | 0.216980i | \(0.930379\pi\) | |||||||
\(692\) | 5.41829 | 0.205973 | ||||||||
\(693\) | 0.678474 | − | 8.74870i | 0.0257731 | − | 0.332335i | ||||
\(694\) | 26.6360 | 1.01109 | ||||||||
\(695\) | −3.23631 | + | 30.7914i | −0.122760 | + | 1.16798i | ||||
\(696\) | 0.278572 | + | 0.309386i | 0.0105593 | + | 0.0117272i | ||||
\(697\) | −32.1690 | − | 6.83773i | −1.21849 | − | 0.258998i | ||||
\(698\) | −47.1564 | − | 20.9954i | −1.78490 | − | 0.794688i | ||||
\(699\) | −2.50040 | + | 1.81664i | −0.0945737 | + | 0.0687118i | ||||
\(700\) | 25.7743 | + | 9.72848i | 0.974178 | + | 0.367702i | ||||
\(701\) | −7.93645 | + | 24.4259i | −0.299756 | + | 0.922553i | 0.681827 | + | 0.731514i | \(0.261186\pi\) |
−0.981582 | + | 0.191039i | \(0.938814\pi\) | |||||||
\(702\) | −0.432073 | + | 4.11090i | −0.0163075 | + | 0.155156i | ||||
\(703\) | −0.538953 | + | 0.933493i | −0.0203270 | + | 0.0352074i | ||||
\(704\) | 3.14374 | + | 10.7896i | 0.118484 | + | 0.406647i | ||||
\(705\) | 5.67411 | + | 9.82784i | 0.213699 | + | 0.370138i | ||||
\(706\) | −20.3143 | − | 14.7592i | −0.764540 | − | 0.555470i | ||||
\(707\) | 19.1131 | − | 38.0370i | 0.718822 | − | 1.43053i | ||||
\(708\) | 0.485925 | + | 1.49552i | 0.0182622 | + | 0.0562052i | ||||
\(709\) | −39.3767 | − | 17.5316i | −1.47882 | − | 0.658414i | −0.500545 | − | 0.865711i | \(-0.666867\pi\) |
−0.978278 | + | 0.207296i | \(0.933534\pi\) | |||||||
\(710\) | 10.9899 | + | 104.562i | 0.412444 | + | 3.92414i | ||||
\(711\) | −5.62351 | − | 1.19531i | −0.210898 | − | 0.0448278i | ||||
\(712\) | 3.41690 | − | 0.726284i | 0.128054 | − | 0.0272187i | ||||
\(713\) | −4.72444 | − | 3.43251i | −0.176932 | − | 0.128549i | ||||
\(714\) | −24.4691 | − | 3.73510i | −0.915733 | − | 0.139783i | ||||
\(715\) | −3.44705 | + | 25.3101i | −0.128912 | + | 0.946544i | ||||
\(716\) | 13.3164 | + | 23.0646i | 0.497656 | + | 0.861966i | ||||
\(717\) | 20.3700 | − | 9.06933i | 0.760733 | − | 0.338700i | ||||
\(718\) | 16.3309 | + | 18.1373i | 0.609465 | + | 0.676879i | ||||
\(719\) | −20.7502 | + | 23.0455i | −0.773854 | + | 0.859451i | −0.993227 | − | 0.116189i | \(-0.962932\pi\) |
0.219373 | + | 0.975641i | \(0.429599\pi\) | |||||||
\(720\) | −13.4162 | + | 9.74745i | −0.499993 | + | 0.363266i | ||||
\(721\) | −1.54412 | + | 33.0007i | −0.0575061 | + | 1.22901i | ||||
\(722\) | 10.3109 | + | 31.7338i | 0.383734 | + | 1.18101i | ||||
\(723\) | 5.21025 | − | 1.10747i | 0.193771 | − | 0.0411874i | ||||
\(724\) | 3.62962 | − | 1.61601i | 0.134894 | − | 0.0600585i | ||||
\(725\) | 1.50064 | − | 2.59918i | 0.0557322 | − | 0.0965310i | ||||
\(726\) | −15.8188 | − | 13.0451i | −0.587090 | − | 0.484151i | ||||
\(727\) | 3.36801 | 0.124913 | 0.0624563 | − | 0.998048i | \(-0.480107\pi\) | ||||
0.0624563 | + | 0.998048i | \(0.480107\pi\) | |||||||
\(728\) | 1.45642 | − | 5.55988i | 0.0539787 | − | 0.206063i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 22.0657 | − | 24.5064i | 0.816688 | − | 0.907024i | ||||
\(731\) | −1.58518 | − | 15.0820i | −0.0586300 | − | 0.557827i | ||||
\(732\) | 1.11385 | + | 10.5976i | 0.0411692 | + | 0.391699i | ||||
\(733\) | −6.82826 | + | 7.58355i | −0.252207 | + | 0.280105i | −0.855932 | − | 0.517088i | \(-0.827016\pi\) |
0.603725 | + | 0.797193i | \(0.293683\pi\) | |||||||
\(734\) | 11.2861 | − | 34.7351i | 0.416579 | − | 1.28210i | ||||
\(735\) | 24.1481 | − | 2.81201i | 0.890715 | − | 0.103723i | ||||
\(736\) | 47.1206 | 1.73689 | ||||||||
\(737\) | 42.1338 | − | 17.2326i | 1.55202 | − | 0.634772i | ||||
\(738\) | 6.10689 | − | 10.5774i | 0.224798 | − | 0.389361i | ||||
\(739\) | 20.6291 | − | 9.18465i | 0.758853 | − | 0.337863i | 0.00943060 | − | 0.999956i | \(-0.496998\pi\) |
0.749422 | + | 0.662093i | \(0.230331\pi\) | |||||||
\(740\) | 5.14977 | − | 1.09462i | 0.189309 | − | 0.0402389i | ||||
\(741\) | −0.718458 | − | 2.21119i | −0.0263932 | − | 0.0812299i | ||||
\(742\) | −50.8500 | − | 32.6187i | −1.86676 | − | 1.19747i | ||||
\(743\) | −20.2308 | + | 14.6985i | −0.742194 | + | 0.539236i | −0.893398 | − | 0.449267i | \(-0.851685\pi\) |
0.151203 | + | 0.988503i | \(0.451685\pi\) | |||||||
\(744\) | −0.563862 | + | 0.626233i | −0.0206722 | + | 0.0229588i | ||||
\(745\) | 53.8283 | + | 59.7824i | 1.97212 | + | 2.19026i | ||||
\(746\) | −25.8037 | + | 11.4885i | −0.944740 | + | 0.420625i | ||||
\(747\) | −6.91657 | − | 11.9799i | −0.253064 | − | 0.438320i | ||||
\(748\) | −16.9746 | + | 17.7285i | −0.620655 | + | 0.648219i | ||||
\(749\) | −27.0348 | + | 33.7704i | −0.987831 | + | 1.23394i | ||||
\(750\) | 10.7993 | + | 7.84616i | 0.394335 | + | 0.286501i | ||||
\(751\) | 21.6854 | − | 4.60937i | 0.791310 | − | 0.168198i | 0.205511 | − | 0.978655i | \(-0.434114\pi\) |
0.585799 | + | 0.810457i | \(0.300781\pi\) | |||||||
\(752\) | −15.2611 | − | 3.24385i | −0.556515 | − | 0.118291i | ||||
\(753\) | 2.20233 | + | 20.9538i | 0.0802574 | + | 0.763599i | ||||
\(754\) | 1.60484 | + | 0.714520i | 0.0584448 | + | 0.0260213i | ||||
\(755\) | −3.96637 | − | 12.2072i | −0.144351 | − | 0.444266i | ||||
\(756\) | 1.75154 | − | 3.48574i | 0.0637028 | − | 0.126775i | ||||
\(757\) | 34.0443 | + | 24.7347i | 1.23736 | + | 0.898996i | 0.997420 | − | 0.0717908i | \(-0.0228714\pi\) |
0.239943 | + | 0.970787i | \(0.422871\pi\) | |||||||
\(758\) | 10.7090 | + | 18.5485i | 0.388968 | + | 0.673712i | ||||
\(759\) | −18.6121 | + | 12.6699i | −0.675575 | + | 0.459887i | ||||
\(760\) | 1.78348 | − | 3.08908i | 0.0646936 | − | 0.112053i | ||||
\(761\) | 4.27124 | − | 40.6382i | 0.154832 | − | 1.47313i | −0.590823 | − | 0.806801i | \(-0.701197\pi\) |
0.745656 | − | 0.666331i | \(-0.232136\pi\) | |||||||
\(762\) | 6.30206 | − | 19.3957i | 0.228300 | − | 0.702634i | ||||
\(763\) | −0.952404 | − | 5.80262i | −0.0344793 | − | 0.210069i | ||||
\(764\) | −13.6126 | + | 9.89014i | −0.492487 | + | 0.357813i | ||||
\(765\) | −15.9245 | − | 7.09006i | −0.575752 | − | 0.256341i | ||||
\(766\) | −5.71521 | − | 1.21481i | −0.206499 | − | 0.0438927i | ||||
\(767\) | −1.58250 | − | 1.75754i | −0.0571407 | − | 0.0634612i | ||||
\(768\) | 2.18259 | − | 20.7659i | 0.0787573 | − | 0.749326i | ||||
\(769\) | −3.87395 | −0.139698 | −0.0698490 | − | 0.997558i | \(-0.522252\pi\) | ||||
−0.0698490 | + | 0.997558i | \(0.522252\pi\) | |||||||
\(770\) | 27.0487 | − | 49.9535i | 0.974766 | − | 1.80020i | ||||
\(771\) | 4.45684 | 0.160509 | ||||||||
\(772\) | −0.750726 | + | 7.14268i | −0.0270192 | + | 0.257071i | ||||
\(773\) | −8.39256 | − | 9.32088i | −0.301859 | − | 0.335249i | 0.573064 | − | 0.819511i | \(-0.305755\pi\) |
−0.874923 | + | 0.484262i | \(0.839088\pi\) | |||||||
\(774\) | 5.50890 | + | 1.17095i | 0.198013 | + | 0.0420890i | ||||
\(775\) | 5.54971 | + | 2.47089i | 0.199352 | + | 0.0887570i | ||||
\(776\) | 14.4973 | − | 10.5329i | 0.520422 | − | 0.378109i | ||||
\(777\) | 2.10431 | − | 1.72365i | 0.0754918 | − | 0.0618356i | ||||
\(778\) | 12.7296 | − | 39.1778i | 0.456379 | − | 1.40459i | ||||
\(779\) | −0.718093 | + | 6.83220i | −0.0257284 | + | 0.244789i | ||||
\(780\) | −5.67795 | + | 9.83450i | −0.203303 | + | 0.352132i | ||||
\(781\) | 53.8392 | + | 1.65015i | 1.92652 | + | 0.0590470i | ||||
\(782\) | 31.7556 | + | 55.0023i | 1.13558 | + | 1.96688i | ||||
\(783\) | −0.343824 | − | 0.249803i | −0.0122873 | − | 0.00892722i | ||||
\(784\) | −19.3420 | + | 27.2592i | −0.690785 | + | 0.973544i | ||||
\(785\) | −9.01767 | − | 27.7535i | −0.321854 | − | 0.990566i | ||||
\(786\) | −25.5797 | − | 11.3888i | −0.912397 | − | 0.406225i | ||||
\(787\) | −1.32147 | − | 12.5730i | −0.0471055 | − | 0.448179i | −0.992499 | − | 0.122249i | \(-0.960989\pi\) |
0.945394 | − | 0.325930i | \(-0.105677\pi\) | |||||||
\(788\) | 5.91506 | + | 1.25729i | 0.210715 | + | 0.0447889i | ||||
\(789\) | −14.6181 | + | 3.10716i | −0.520417 | + | 0.110618i | ||||
\(790\) | −30.1102 | − | 21.8764i | −1.07127 | − | 0.778326i | ||||
\(791\) | −1.78080 | − | 4.56256i | −0.0633179 | − | 0.162226i | ||||
\(792\) | 1.53752 | + | 2.86213i | 0.0546335 | + | 0.101701i | ||||
\(793\) | −8.01325 | − | 13.8794i | −0.284559 | − | 0.492871i | ||||
\(794\) | −44.7092 | + | 19.9058i | −1.58667 | + | 0.706431i | ||||
\(795\) | −28.4679 | − | 31.6169i | −1.00965 | − | 1.12133i | ||||
\(796\) | 1.63723 | − | 1.81833i | 0.0580300 | − | 0.0644488i | ||||
\(797\) | −25.3544 | + | 18.4211i | −0.898100 | + | 0.652508i | −0.937977 | − | 0.346697i | \(-0.887303\pi\) |
0.0398776 | + | 0.999205i | \(0.487303\pi\) | |||||||
\(798\) | −0.241667 | + | 5.16485i | −0.00855490 | + | 0.182834i | ||||
\(799\) | −5.06789 | − | 15.5974i | −0.179289 | − | 0.551795i | ||||
\(800\) | −47.9471 | + | 10.1915i | −1.69519 | + | 0.360323i | ||||
\(801\) | −3.25769 | + | 1.45041i | −0.115105 | + | 0.0512479i | ||||
\(802\) | 20.0679 | − | 34.7586i | 0.708622 | − | 1.22737i | ||||
\(803\) | −10.9148 | − | 12.8956i | −0.385175 | − | 0.455077i | ||||
\(804\) | 20.2374 | 0.713718 | ||||||||
\(805\) | −44.3550 | − | 43.8607i | −1.56331 | − | 1.54589i | ||||
\(806\) | −1.09880 | + | 3.38176i | −0.0387036 | + | 0.119117i | ||||
\(807\) | 9.96777 | − | 11.0703i | 0.350882 | − | 0.389694i | ||||
\(808\) | 1.64751 | + | 15.6750i | 0.0579592 | + | 0.551445i | ||||
\(809\) | −3.23013 | − | 30.7326i | −0.113565 | − | 1.08050i | −0.891769 | − | 0.452490i | \(-0.850536\pi\) |
0.778204 | − | 0.628011i | \(-0.216131\pi\) | |||||||
\(810\) | 4.33176 | − | 4.81090i | 0.152202 | − | 0.169038i | ||||
\(811\) | 15.6393 | − | 48.1327i | 0.549169 | − | 1.69017i | −0.161698 | − | 0.986840i | \(-0.551697\pi\) |
0.710867 | − | 0.703327i | \(-0.248303\pi\) | |||||||
\(812\) | −1.17887 | − | 1.16573i | −0.0413702 | − | 0.0409092i | ||||
\(813\) | −22.6592 | −0.794691 | ||||||||
\(814\) | −0.470417 | − | 6.33852i | −0.0164881 | − | 0.222165i | ||||
\(815\) | 0.160318 | − | 0.277678i | 0.00561568 | − | 0.00972664i | ||||
\(816\) | 21.8938 | − | 9.74773i | 0.766435 | − | 0.341239i | ||||
\(817\) | −3.09857 | + | 0.658621i | −0.108405 | + | 0.0230422i | ||||
\(818\) | 6.45630 | + | 19.8705i | 0.225739 | + | 0.694754i | ||||
\(819\) | −0.274228 | + | 5.86075i | −0.00958230 | + | 0.204791i | ||||
\(820\) | 27.1461 | − | 19.7228i | 0.947981 | − | 0.688749i | ||||
\(821\) | 14.6550 | − | 16.2761i | 0.511464 | − | 0.568039i | −0.430997 | − | 0.902353i | \(-0.641838\pi\) |
0.942462 | + | 0.334315i | \(0.108505\pi\) | |||||||
\(822\) | 25.4433 | + | 28.2576i | 0.887437 | + | 0.985598i | ||||
\(823\) | −35.6816 | + | 15.8865i | −1.24378 | + | 0.553768i | −0.919834 | − | 0.392307i | \(-0.871677\pi\) |
−0.323948 | + | 0.946075i | \(0.605010\pi\) | |||||||
\(824\) | −6.11600 | − | 10.5932i | −0.213061 | − | 0.369033i | ||||
\(825\) | 16.1982 | − | 16.9176i | 0.563950 | − | 0.588996i | ||||
\(826\) | 1.91233 | + | 4.89954i | 0.0665384 | + | 0.170477i | ||||
\(827\) | 12.3679 | + | 8.98580i | 0.430074 | + | 0.312467i | 0.781678 | − | 0.623682i | \(-0.214364\pi\) |
−0.351605 | + | 0.936149i | \(0.614364\pi\) | |||||||
\(828\) | −9.79078 | + | 2.08109i | −0.340253 | + | 0.0723230i | ||||
\(829\) | −25.7848 | − | 5.48073i | −0.895544 | − | 0.190354i | −0.262924 | − | 0.964816i | \(-0.584687\pi\) |
−0.632619 | + | 0.774463i | \(0.718020\pi\) | |||||||
\(830\) | −9.36071 | − | 89.0612i | −0.324915 | − | 3.09136i | ||||
\(831\) | 13.2626 | + | 5.90490i | 0.460076 | + | 0.204839i | ||||
\(832\) | −2.32200 | − | 7.14639i | −0.0805010 | − | 0.247756i | ||||
\(833\) | −34.9803 | − | 3.28068i | −1.21199 | − | 0.113669i | ||||
\(834\) | 13.4433 | + | 9.76715i | 0.465505 | + | 0.338209i | ||||
\(835\) | 14.4054 | + | 24.9508i | 0.498518 | + | 0.863459i | ||||
\(836\) | 4.05362 | + | 3.13927i | 0.140197 | + | 0.108574i | ||||
\(837\) | 0.430114 | − | 0.744979i | 0.0148669 | − | 0.0257502i | ||||
\(838\) | 4.37155 | − | 41.5925i | 0.151013 | − | 1.43679i | ||||
\(839\) | 3.06478 | − | 9.43243i | 0.105808 | − | 0.325644i | −0.884111 | − | 0.467277i | \(-0.845235\pi\) |
0.989919 | + | 0.141633i | \(0.0452352\pi\) | |||||||
\(840\) | −6.96351 | + | 5.70384i | −0.240264 | + | 0.196801i | ||||
\(841\) | 23.3154 | − | 16.9396i | 0.803978 | − | 0.584124i | ||||
\(842\) | 21.4874 | + | 9.56680i | 0.740504 | + | 0.329694i | ||||
\(843\) | 1.47519 | + | 0.313562i | 0.0508083 | + | 0.0107996i | ||||
\(844\) | −12.3891 | − | 13.7595i | −0.426449 | − | 0.473620i | ||||
\(845\) | −2.93414 | + | 27.9165i | −0.100938 | + | 0.960357i | ||||
\(846\) | 6.09062 | 0.209400 | ||||||||
\(847\) | −23.4882 | − | 17.1845i | −0.807063 | − | 0.590465i | ||||
\(848\) | 58.4923 | 2.00864 | ||||||||
\(849\) | 1.43493 | − | 13.6524i | 0.0492466 | − | 0.468550i | ||||
\(850\) | −44.2088 | − | 49.0988i | −1.51635 | − | 1.68408i | ||||
\(851\) | −6.82692 | − | 1.45111i | −0.234024 | − | 0.0497433i | ||||
\(852\) | 21.8761 | + | 9.73986i | 0.749463 | + | 0.333682i | ||||
\(853\) | 21.1701 | − | 15.3810i | 0.724850 | − | 0.526635i | −0.163080 | − | 0.986613i | \(-0.552143\pi\) |
0.887930 | + | 0.459978i | \(0.152143\pi\) | |||||||
\(854\) | 5.77268 | + | 35.1706i | 0.197537 | + | 1.20351i | ||||
\(855\) | −1.12521 | + | 3.46303i | −0.0384812 | + | 0.118433i | ||||
\(856\) | 1.67420 | − | 15.9290i | 0.0572231 | − | 0.544442i | ||||
\(857\) | −21.7863 | + | 37.7349i | −0.744204 | + | 1.28900i | 0.206361 | + | 0.978476i | \(0.433838\pi\) |
−0.950566 | + | 0.310524i | \(0.899496\pi\) | |||||||
\(858\) | 10.8391 | + | 8.39419i | 0.370040 | + | 0.286573i | ||||
\(859\) | −10.1360 | − | 17.5560i | −0.345834 | − | 0.599002i | 0.639671 | − | 0.768649i | \(-0.279071\pi\) |
−0.985505 | + | 0.169647i | \(0.945737\pi\) | |||||||
\(860\) | 12.5175 | + | 9.09448i | 0.426843 | + | 0.310119i | ||||
\(861\) | 7.78382 | − | 15.4906i | 0.265272 | − | 0.527918i | ||||
\(862\) | −21.6380 | − | 66.5948i | −0.736992 | − | 2.26823i | ||||
\(863\) | 15.1628 | + | 6.75091i | 0.516147 | + | 0.229804i | 0.648243 | − | 0.761433i | \(-0.275504\pi\) |
−0.132096 | + | 0.991237i | \(0.542171\pi\) | |||||||
\(864\) | 0.725547 | + | 6.90312i | 0.0246836 | + | 0.234849i | ||||
\(865\) | 12.4837 | + | 2.65349i | 0.424458 | + | 0.0902214i | ||||
\(866\) | 43.6939 | − | 9.28743i | 1.48478 | − | 0.315600i | ||||
\(867\) | 6.62705 | + | 4.81484i | 0.225067 | + | 0.163520i | ||||
\(868\) | 2.09723 | − | 2.61974i | 0.0711845 | − | 0.0889197i | ||||
\(869\) | −13.1869 | + | 13.7726i | −0.447336 | + | 0.467203i | ||||
\(870\) | −1.37563 | − | 2.38266i | −0.0466382 | − | 0.0807798i | ||||
\(871\) | −27.8055 | + | 12.3798i | −0.942153 | + | 0.419473i | ||||
\(872\) | 1.45682 | + | 1.61797i | 0.0493343 | + | 0.0547913i | ||||
\(873\) | −12.2403 | + | 13.5942i | −0.414270 | + | 0.460094i | ||||
\(874\) | 10.7330 | − | 7.79798i | 0.363049 | − | 0.263771i | ||||
\(875\) | 15.9480 | + | 10.2302i | 0.539141 | + | 0.345843i | ||||
\(876\) | −2.32097 | − | 7.14321i | −0.0784183 | − | 0.241347i | ||||
\(877\) | 30.5726 | − | 6.49840i | 1.03236 | − | 0.219435i | 0.339576 | − | 0.940579i | \(-0.389716\pi\) |
0.692786 | + | 0.721143i | \(0.256383\pi\) | |||||||
\(878\) | −0.710516 | + | 0.316342i | −0.0239787 | + | 0.0106760i | ||||
\(879\) | −1.15902 | + | 2.00749i | −0.0390929 | + | 0.0677109i | ||||
\(880\) | 4.07072 | + | 54.8499i | 0.137224 | + | 1.84899i | ||||
\(881\) | −12.5333 | −0.422257 | −0.211129 | − | 0.977458i | \(-0.567714\pi\) | ||||
−0.211129 | + | 0.977458i | \(0.567714\pi\) | |||||||
\(882\) | 5.17316 | − | 11.9786i | 0.174189 | − | 0.403341i | ||||
\(883\) | −6.28545 | + | 19.3446i | −0.211522 | + | 0.650999i | 0.787860 | + | 0.615854i | \(0.211189\pi\) |
−0.999382 | + | 0.0351443i | \(0.988811\pi\) | |||||||
\(884\) | 10.9812 | − | 12.1959i | 0.369338 | − | 0.410191i | ||||
\(885\) | 0.387166 | + | 3.68364i | 0.0130144 | + | 0.123824i | ||||
\(886\) | 1.83364 | + | 17.4459i | 0.0616024 | + | 0.586108i | ||||
\(887\) | −28.2392 | + | 31.3628i | −0.948178 | + | 1.05306i | 0.0503448 | + | 0.998732i | \(0.483968\pi\) |
−0.998523 | + | 0.0543269i | \(0.982699\pi\) | |||||||
\(888\) | −0.311223 | + | 0.957846i | −0.0104440 | + | 0.0321432i | ||||
\(889\) | 7.33528 | − | 28.0023i | 0.246017 | − | 0.939168i | ||||
\(890\) | −23.0851 | −0.773815 | ||||||||
\(891\) | −2.14271 | − | 2.53156i | −0.0717834 | − | 0.0848106i | ||||
\(892\) | −17.3221 | + | 30.0027i | −0.579986 | + | 1.00457i | ||||
\(893\) | −3.12960 | + | 1.39339i | −0.104728 | + | 0.0466279i | ||||
\(894\) | 42.2317 | − | 8.97662i | 1.41244 | − | 0.300223i | ||||
\(895\) | 19.3854 | + | 59.6621i | 0.647982 | + | 1.99428i | ||||
\(896\) | 0.935650 | − | 19.9965i | 0.0312579 | − | 0.668037i | ||||
\(897\) | 12.1791 | − | 8.84866i | 0.406649 | − | 0.295448i | ||||
\(898\) | 22.3030 | − | 24.7699i | 0.744259 | − | 0.826584i | ||||
\(899\) | −0.244626 | − | 0.271685i | −0.00815874 | − | 0.00906120i | ||||
\(900\) | 9.51240 | − | 4.23519i | 0.317080 | − | 0.141173i | ||||
\(901\) | 30.7420 | + | 53.2468i | 1.02417 | + | 1.77391i | ||||
\(902\) | −19.1700 | − | 35.6854i | −0.638292 | − | 1.18820i | ||||
\(903\) | 7.90249 | + | 1.20628i | 0.262979 | + | 0.0401425i | ||||
\(904\) | 1.46709 | + | 1.06590i | 0.0487946 | + | 0.0354514i | ||||
\(905\) | 9.15401 | − | 1.94574i | 0.304290 | − | 0.0646787i | ||||
\(906\) | −6.73829 | − | 1.43227i | −0.223865 | − | 0.0475839i | ||||
\(907\) | 0.160512 | + | 1.52717i | 0.00532972 | + | 0.0507089i | 0.996864 | − | 0.0791400i | \(-0.0252174\pi\) |
−0.991534 | + | 0.129849i | \(0.958551\pi\) | |||||||
\(908\) | −30.4551 | − | 13.5595i | −1.01069 | − | 0.449987i | ||||
\(909\) | −4.97196 | − | 15.3021i | −0.164909 | − | 0.507539i | ||||
\(910\) | −17.0537 | + | 33.9386i | −0.565324 | + | 1.12505i | ||||
\(911\) | −21.1533 | − | 15.3688i | −0.700839 | − | 0.509190i | 0.179366 | − | 0.983782i | \(-0.442595\pi\) |
−0.880205 | + | 0.474593i | \(0.842595\pi\) | |||||||
\(912\) | −2.50307 | − | 4.33544i | −0.0828849 | − | 0.143561i | ||||
\(913\) | −45.8578 | − | 1.40552i | −1.51767 | − | 0.0465160i | ||||
\(914\) | 25.8287 | − | 44.7365i | 0.854336 | − | 1.47975i | ||||
\(915\) | −2.62364 | + | 24.9622i | −0.0867348 | + | 0.825226i | ||||
\(916\) | −6.74069 | + | 20.7457i | −0.222719 | + | 0.685458i | ||||
\(917\) | −37.1833 | − | 14.0348i | −1.22790 | − | 0.463470i | ||||
\(918\) | −7.56882 | + | 5.49907i | −0.249808 | + | 0.181496i | ||||
\(919\) | 32.5798 | + | 14.5055i | 1.07471 | + | 0.478491i | 0.866286 | − | 0.499548i | \(-0.166501\pi\) |
0.208422 | + | 0.978039i | \(0.433167\pi\) | |||||||
\(920\) | 22.5914 | + | 4.80194i | 0.744815 | + | 0.158315i | ||||
\(921\) | 13.2937 | + | 14.7641i | 0.438041 | + | 0.486494i | ||||
\(922\) | 6.06709 | − | 57.7245i | 0.199809 | − | 1.90105i | ||||
\(923\) | −36.0152 | −1.18545 | ||||||||
\(924\) | −6.77287 | − | 11.0240i | −0.222811 | − | 0.362663i | ||||
\(925\) | 7.26051 | 0.238724 | ||||||||
\(926\) | 2.87611 | − | 27.3644i | 0.0945148 | − | 0.899249i | ||||
\(927\) | 8.35526 | + | 9.27945i | 0.274423 | + | 0.304777i | ||||
\(928\) | 2.88545 | + | 0.613322i | 0.0947196 | + | 0.0201333i | ||||
\(929\) | 45.3178 | + | 20.1768i | 1.48683 | + | 0.661979i | 0.979806 | − | 0.199952i | \(-0.0640787\pi\) |
0.507024 | + | 0.861932i | \(0.330745\pi\) | |||||||
\(930\) | 4.50531 | − | 3.27330i | 0.147735 | − | 0.107336i | ||||
\(931\) | 0.0822447 | + | 7.33856i | 0.00269546 | + | 0.240511i | ||||
\(932\) | −1.40821 | + | 4.33402i | −0.0461274 | + | 0.141966i | ||||
\(933\) | −1.26479 | + | 12.0337i | −0.0414075 | + | 0.393966i | ||||
\(934\) | 21.8168 | − | 37.7878i | 0.713867 | − | 1.23645i | ||||
\(935\) | −47.7916 | + | 32.5334i | −1.56295 | + | 1.06395i | ||||
\(936\) | −1.08617 | − | 1.88130i | −0.0355026 | − | 0.0614923i | ||||
\(937\) | 38.6661 | + | 28.0926i | 1.26317 | + | 0.917744i | 0.998909 | − | 0.0467082i | \(-0.0148731\pi\) |
0.264258 | + | 0.964452i | \(0.414873\pi\) | |||||||
\(938\) | 67.5747 | − | 3.92124i | 2.20639 | − | 0.128033i | ||||
\(939\) | 1.90849 | + | 5.87372i | 0.0622812 | + | 0.191682i | ||||
\(940\) | 15.2859 | + | 6.80572i | 0.498571 | + | 0.221978i | ||||
\(941\) | 0.536830 | + | 5.10760i | 0.0175002 | + | 0.166503i | 0.999781 | − | 0.0209101i | \(-0.00665638\pi\) |
−0.982281 | + | 0.187413i | \(0.939990\pi\) | |||||||
\(942\) | −15.3197 | − | 3.25631i | −0.499143 | − | 0.106096i | ||||
\(943\) | −43.5101 | + | 9.24836i | −1.41688 | + | 0.301168i | ||||
\(944\) | −4.11978 | − | 2.99320i | −0.134087 | − | 0.0974202i | ||||
\(945\) | 5.74259 | − | 7.17332i | 0.186806 | − | 0.233348i | ||||
\(946\) | 12.9182 | − | 13.4919i | 0.420006 | − | 0.438659i | ||||
\(947\) | −20.0586 | − | 34.7425i | −0.651816 | − | 1.12898i | −0.982682 | − | 0.185301i | \(-0.940674\pi\) |
0.330866 | − | 0.943678i | \(-0.392659\pi\) | |||||||
\(948\) | −7.74403 | + | 3.44786i | −0.251514 | + | 0.111981i | ||||
\(949\) | 7.55864 | + | 8.39472i | 0.245364 | + | 0.272504i | ||||
\(950\) | −9.23467 | + | 10.2561i | −0.299612 | + | 0.332753i | ||||
\(951\) | 0.533080 | − | 0.387306i | 0.0172863 | − | 0.0125592i | ||||
\(952\) | 11.5573 | − | 5.97056i | 0.374575 | − | 0.193507i | ||||
\(953\) | −8.91613 | − | 27.4410i | −0.288822 | − | 0.888902i | −0.985227 | − | 0.171253i | \(-0.945218\pi\) |
0.696405 | − | 0.717649i | \(-0.254782\pi\) | |||||||
\(954\) | −22.3349 | + | 4.74743i | −0.723119 | + | 0.153704i | ||||
\(955\) | −36.2068 | + | 16.1203i | −1.17162 | + | 0.521641i | ||||
\(956\) | 16.4386 | − | 28.4725i | 0.531663 | − | 0.920867i | ||||
\(957\) | −1.30463 | + | 0.533591i | −0.0421727 | + | 0.0172485i | ||||
\(958\) | −16.2671 | −0.525567 | ||||||||
\(959\) | 38.3771 | + | 37.9494i | 1.23926 | + | 1.22545i | ||||
\(960\) | −3.63658 | + | 11.1922i | −0.117370 | + | 0.361228i | ||||
\(961\) | −20.2479 | + | 22.4876i | −0.653158 | + | 0.725405i | ||||
\(962\) | 0.444220 | + | 4.22647i | 0.0143222 | + | 0.136267i | ||||
\(963\) | 1.70907 | + | 16.2607i | 0.0550740 | + | 0.523994i | ||||
\(964\) | 5.25531 | − | 5.83661i | 0.169262 | − | 0.187985i | ||||
\(965\) | −5.22764 | + | 16.0890i | −0.168284 | + | 0.517924i | ||||
\(966\) | −32.2892 | + | 8.84607i | −1.03889 | + | 0.284618i | ||||
\(967\) | −35.8128 | −1.15166 | −0.575831 | − | 0.817569i | \(-0.695321\pi\) | ||||
−0.575831 | + | 0.817569i | \(0.695321\pi\) | |||||||
\(968\) | 10.7554 | + | 0.659915i | 0.345691 | + | 0.0212105i | ||||
\(969\) | 2.63110 | − | 4.55719i | 0.0845230 | − | 0.146398i | ||||
\(970\) | −108.184 | + | 48.1666i | −3.47358 | + | 1.54654i | ||||
\(971\) | −36.5795 | + | 7.77522i | −1.17389 | + | 0.249519i | −0.753267 | − | 0.657715i | \(-0.771523\pi\) |
−0.420627 | + | 0.907234i | \(0.638190\pi\) | |||||||
\(972\) | −0.455633 | − | 1.40230i | −0.0146144 | − | 0.0449787i | ||||
\(973\) | 19.8526 | + | 12.7348i | 0.636444 | + | 0.408260i | ||||
\(974\) | 4.83693 | − | 3.51423i | 0.154985 | − | 0.112603i | ||||
\(975\) | −10.4789 | + | 11.6380i | −0.335594 | + | 0.372715i | ||||
\(976\) | −23.0905 | − | 25.6446i | −0.739110 | − | 0.820865i | ||||
\(977\) | 24.1227 | − | 10.7401i | 0.771754 | − | 0.343607i | 0.0172060 | − | 0.999852i | \(-0.494523\pi\) |
0.754548 | + | 0.656245i | \(0.227856\pi\) | |||||||
\(978\) | −0.0860430 | − | 0.149031i | −0.00275135 | − | 0.00476548i | ||||
\(979\) | −1.59602 | + | 11.7188i | −0.0510090 | + | 0.374536i | ||||
\(980\) | 26.3683 | − | 24.2827i | 0.842304 | − | 0.775682i | ||||
\(981\) | −1.79806 | − | 1.30637i | −0.0574077 | − | 0.0417092i | ||||
\(982\) | −8.09526 | + | 1.72070i | −0.258330 | + | 0.0549098i | ||||
\(983\) | 43.4165 | + | 9.22847i | 1.38477 | + | 0.294342i | 0.839246 | − | 0.543752i | \(-0.182997\pi\) |
0.545526 | + | 0.838094i | \(0.316330\pi\) | |||||||
\(984\) | 0.670949 | + | 6.38366i | 0.0213891 | + | 0.203504i | ||||
\(985\) | 13.0125 | + | 5.79355i | 0.414613 | + | 0.184598i | ||||
\(986\) | 1.22866 | + | 3.78142i | 0.0391285 | + | 0.120425i | ||||
\(987\) | 8.63052 | − | 0.500814i | 0.274713 | − | 0.0159411i | ||||
\(988\) | −2.77338 | − | 2.01498i | −0.0882330 | − | 0.0641051i | ||||
\(989\) | −10.2557 | − | 17.7634i | −0.326113 | − | 0.564844i | ||||
\(990\) | −6.00618 | − | 20.6137i | −0.190889 | − | 0.655146i | ||||
\(991\) | −9.41079 | + | 16.3000i | −0.298944 | + | 0.517786i | −0.975895 | − | 0.218243i | \(-0.929968\pi\) |
0.676951 | + | 0.736028i | \(0.263301\pi\) | |||||||
\(992\) | −0.624136 | + | 5.93826i | −0.0198163 | + | 0.188540i | ||||
\(993\) | −2.41909 | + | 7.44518i | −0.0767673 | + | 0.236266i | ||||
\(994\) | 74.9337 | + | 28.2836i | 2.37675 | + | 0.897102i | ||||
\(995\) | 4.66264 | − | 3.38761i | 0.147816 | − | 0.107394i | ||||
\(996\) | −18.6331 | − | 8.29597i | −0.590411 | − | 0.262868i | ||||
\(997\) | −5.10426 | − | 1.08494i | −0.161653 | − | 0.0343605i | 0.126374 | − | 0.991983i | \(-0.459666\pi\) |
−0.288027 | + | 0.957622i | \(0.592999\pi\) | |||||||
\(998\) | 8.05603 | + | 8.94713i | 0.255009 | + | 0.283216i | ||||
\(999\) | 0.107467 | − | 1.02248i | 0.00340011 | − | 0.0323498i |
(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 | 231.2.y.a.4.7 | ✓ | 64 | |
3.2 | odd | 2 | 693.2.by.d.235.2 | 64 | |||
7.2 | even | 3 | inner | 231.2.y.a.37.2 | yes | 64 | |
11.3 | even | 5 | inner | 231.2.y.a.25.2 | yes | 64 | |
21.2 | odd | 6 | 693.2.by.d.37.7 | 64 | |||
33.14 | odd | 10 | 693.2.by.d.487.7 | 64 | |||
77.58 | even | 15 | inner | 231.2.y.a.58.7 | yes | 64 | |
231.212 | odd | 30 | 693.2.by.d.289.2 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.y.a.4.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
231.2.y.a.25.2 | yes | 64 | 11.3 | even | 5 | inner | |
231.2.y.a.37.2 | yes | 64 | 7.2 | even | 3 | inner | |
231.2.y.a.58.7 | yes | 64 | 77.58 | even | 15 | inner | |
693.2.by.d.37.7 | 64 | 21.2 | odd | 6 | |||
693.2.by.d.235.2 | 64 | 3.2 | odd | 2 | |||
693.2.by.d.289.2 | 64 | 231.212 | odd | 30 | |||
693.2.by.d.487.7 | 64 | 33.14 | odd | 10 |