Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(24,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([35, 26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.24");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cc (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(560\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 24.8 | ||
Character | \(\chi\) | \(=\) | 403.24 |
Dual form | 403.2.cc.a.84.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{13}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.62065 | + | 0.0849346i | −1.14597 | + | 0.0600578i | −0.615850 | − | 0.787864i | \(-0.711187\pi\) |
−0.530122 | + | 0.847922i | \(0.677854\pi\) | |||||||
\(3\) | 2.22876 | − | 2.00678i | 1.28677 | − | 1.15862i | 0.308516 | − | 0.951219i | \(-0.400168\pi\) |
0.978257 | − | 0.207396i | \(-0.0664989\pi\) | |||||||
\(4\) | 0.630243 | − | 0.0662412i | 0.315121 | − | 0.0331206i | ||||
\(5\) | −2.61289 | + | 0.700121i | −1.16852 | + | 0.313104i | −0.790363 | − | 0.612638i | \(-0.790108\pi\) |
−0.378156 | + | 0.925742i | \(0.623442\pi\) | |||||||
\(6\) | −3.44158 | + | 3.44158i | −1.40502 | + | 1.40502i | ||||
\(7\) | −0.735803 | + | 4.64568i | −0.278107 | + | 1.75590i | 0.313419 | + | 0.949615i | \(0.398526\pi\) |
−0.591526 | + | 0.806286i | \(0.701474\pi\) | |||||||
\(8\) | 2.19001 | − | 0.346863i | 0.774285 | − | 0.122635i | ||||
\(9\) | 0.626598 | − | 5.96168i | 0.208866 | − | 1.98723i | ||||
\(10\) | 4.17511 | − | 1.35657i | 1.32028 | − | 0.428987i | ||||
\(11\) | 0.940224 | + | 0.148917i | 0.283488 | + | 0.0449001i | 0.296559 | − | 0.955014i | \(-0.404161\pi\) |
−0.0130711 | + | 0.999915i | \(0.504161\pi\) | |||||||
\(12\) | 1.27173 | − | 1.41239i | 0.367115 | − | 0.407723i | ||||
\(13\) | 1.96374 | + | 3.02386i | 0.544643 | + | 0.838668i | ||||
\(14\) | 0.797899 | − | 7.59150i | 0.213247 | − | 2.02891i | ||||
\(15\) | −4.41850 | + | 6.80389i | −1.14085 | + | 1.75676i | ||||
\(16\) | −4.75950 | + | 1.01166i | −1.18988 | + | 0.252916i | ||||
\(17\) | 5.85180 | + | 4.25158i | 1.41927 | + | 1.03116i | 0.991892 | + | 0.127087i | \(0.0405626\pi\) |
0.427378 | + | 0.904073i | \(0.359437\pi\) | |||||||
\(18\) | −0.509142 | + | 9.71501i | −0.120006 | + | 2.28985i | ||||
\(19\) | 0.0619840 | − | 0.121650i | 0.0142201 | − | 0.0279085i | −0.883787 | − | 0.467889i | \(-0.845015\pi\) |
0.898007 | + | 0.439981i | \(0.145015\pi\) | |||||||
\(20\) | −1.60038 | + | 0.614327i | −0.357855 | + | 0.137368i | ||||
\(21\) | 7.68293 | + | 11.8307i | 1.67655 | + | 2.58166i | ||||
\(22\) | −1.53642 | − | 0.161484i | −0.327566 | − | 0.0344286i | ||||
\(23\) | 0.261686 | − | 2.48978i | 0.0545653 | − | 0.519154i | −0.932766 | − | 0.360482i | \(-0.882612\pi\) |
0.987331 | − | 0.158672i | \(-0.0507212\pi\) | |||||||
\(24\) | 4.18492 | − | 5.16794i | 0.854242 | − | 1.05490i | ||||
\(25\) | 2.00689 | − | 1.15868i | 0.401377 | − | 0.231735i | ||||
\(26\) | −3.43936 | − | 4.73382i | −0.674514 | − | 0.928379i | ||||
\(27\) | −5.27880 | − | 7.26564i | −1.01591 | − | 1.39827i | ||||
\(28\) | −0.155999 | + | 2.97664i | −0.0294811 | + | 0.562533i | ||||
\(29\) | −0.499281 | − | 0.449555i | −0.0927141 | − | 0.0834802i | 0.621470 | − | 0.783438i | \(-0.286536\pi\) |
−0.714185 | + | 0.699957i | \(0.753202\pi\) | |||||||
\(30\) | 6.58295 | − | 11.4020i | 1.20188 | − | 2.08171i | ||||
\(31\) | 5.52936 | + | 0.652861i | 0.993102 | + | 0.117257i | ||||
\(32\) | 3.34405 | − | 0.896035i | 0.591150 | − | 0.158398i | ||||
\(33\) | 2.39437 | − | 1.55492i | 0.416807 | − | 0.270677i | ||||
\(34\) | −9.84481 | − | 6.39330i | −1.68837 | − | 1.09644i | ||||
\(35\) | −1.32997 | − | 12.6538i | −0.224805 | − | 2.13888i | ||||
\(36\) | − | 3.79881i | − | 0.633135i | ||||||
\(37\) | −6.15087 | + | 1.64812i | −1.01120 | + | 0.270950i | −0.726130 | − | 0.687558i | \(-0.758683\pi\) |
−0.285068 | + | 0.958507i | \(0.592016\pi\) | |||||||
\(38\) | −0.0901219 | + | 0.202417i | −0.0146197 | + | 0.0328364i | ||||
\(39\) | 10.4449 | + | 2.79865i | 1.67253 | + | 0.448142i | ||||
\(40\) | −5.47940 | + | 2.43959i | −0.866369 | + | 0.385732i | ||||
\(41\) | 4.44143 | − | 8.71681i | 0.693636 | − | 1.36134i | −0.228146 | − | 0.973627i | \(-0.573266\pi\) |
0.921782 | − | 0.387709i | \(-0.126734\pi\) | |||||||
\(42\) | −13.4562 | − | 18.5208i | −2.07633 | − | 2.85782i | ||||
\(43\) | 2.80547 | + | 8.63435i | 0.427830 | + | 1.31673i | 0.900258 | + | 0.435356i | \(0.143378\pi\) |
−0.472428 | + | 0.881369i | \(0.656622\pi\) | |||||||
\(44\) | 0.602433 | + | 0.0315722i | 0.0908203 | + | 0.00475969i | ||||
\(45\) | 2.53667 | + | 16.0159i | 0.378144 | + | 2.38751i | ||||
\(46\) | −0.212633 | + | 4.05728i | −0.0313510 | + | 0.598213i | ||||
\(47\) | 0.796668 | + | 1.56355i | 0.116206 | + | 0.228067i | 0.941782 | − | 0.336223i | \(-0.109150\pi\) |
−0.825576 | + | 0.564291i | \(0.809150\pi\) | |||||||
\(48\) | −8.57759 | + | 11.8060i | −1.23807 | + | 1.70405i | ||||
\(49\) | −14.3835 | − | 4.67349i | −2.05479 | − | 0.667641i | ||||
\(50\) | −3.15404 | + | 2.04826i | −0.446049 | + | 0.289668i | ||||
\(51\) | 21.5742 | − | 2.26754i | 3.02099 | − | 0.317519i | ||||
\(52\) | 1.43794 | + | 1.77568i | 0.199406 | + | 0.246243i | ||||
\(53\) | 2.39486 | + | 5.37895i | 0.328959 | + | 0.738855i | 0.999997 | − | 0.00256861i | \(-0.000817615\pi\) |
−0.671037 | + | 0.741424i | \(0.734151\pi\) | |||||||
\(54\) | 9.17218 | + | 11.3267i | 1.24818 | + | 1.54137i | ||||
\(55\) | −2.56096 | + | 0.269168i | −0.345320 | + | 0.0362946i | ||||
\(56\) | 10.4293i | 1.39367i | ||||||||
\(57\) | −0.105979 | − | 0.395517i | −0.0140372 | − | 0.0523875i | ||||
\(58\) | 0.847341 | + | 0.686164i | 0.111261 | + | 0.0900977i | ||||
\(59\) | 0.707154 | + | 1.38787i | 0.0920636 | + | 0.180685i | 0.932446 | − | 0.361308i | \(-0.117670\pi\) |
−0.840383 | + | 0.541993i | \(0.817670\pi\) | |||||||
\(60\) | −2.33403 | + | 4.58079i | −0.301322 | + | 0.591377i | ||||
\(61\) | 7.75542 | + | 4.47759i | 0.992979 | + | 0.573297i | 0.906164 | − | 0.422928i | \(-0.138998\pi\) |
0.0868158 | + | 0.996224i | \(0.472331\pi\) | |||||||
\(62\) | −9.01659 | − | 0.588424i | −1.14511 | − | 0.0747300i | ||||
\(63\) | 27.2350 | + | 7.29760i | 3.43129 | + | 0.919411i | ||||
\(64\) | 3.91195 | − | 1.27107i | 0.488993 | − | 0.158884i | ||||
\(65\) | −7.24810 | − | 6.52615i | −0.899016 | − | 0.809469i | ||||
\(66\) | −3.74837 | + | 2.72335i | −0.461392 | + | 0.335221i | ||||
\(67\) | −3.75025 | − | 3.75025i | −0.458166 | − | 0.458166i | 0.439887 | − | 0.898053i | \(-0.355019\pi\) |
−0.898053 | + | 0.439887i | \(0.855019\pi\) | |||||||
\(68\) | 3.96968 | + | 2.29190i | 0.481395 | + | 0.277933i | ||||
\(69\) | −4.41320 | − | 6.07425i | −0.531287 | − | 0.731254i | ||||
\(70\) | 3.23015 | + | 20.3944i | 0.386077 | + | 2.43759i | ||||
\(71\) | −5.01708 | + | 4.06275i | −0.595418 | + | 0.482160i | −0.879022 | − | 0.476782i | \(-0.841803\pi\) |
0.283604 | + | 0.958941i | \(0.408470\pi\) | |||||||
\(72\) | −0.695634 | − | 13.2735i | −0.0819812 | − | 1.56429i | ||||
\(73\) | −10.1855 | + | 12.5780i | −1.19212 | + | 1.47215i | −0.346757 | + | 0.937955i | \(0.612717\pi\) |
−0.845364 | + | 0.534191i | \(0.820616\pi\) | |||||||
\(74\) | 9.82842 | − | 3.19345i | 1.14253 | − | 0.371231i | ||||
\(75\) | 2.14765 | − | 6.60979i | 0.247989 | − | 0.763232i | ||||
\(76\) | 0.0310067 | − | 0.0807751i | 0.00355671 | − | 0.00926554i | ||||
\(77\) | −1.38364 | + | 4.25840i | −0.157680 | + | 0.485290i | ||||
\(78\) | −17.1652 | − | 3.64849i | −1.94358 | − | 0.413110i | ||||
\(79\) | −5.93087 | − | 0.623360i | −0.667275 | − | 0.0701334i | −0.235167 | − | 0.971955i | \(-0.575564\pi\) |
−0.432108 | + | 0.901822i | \(0.642230\pi\) | |||||||
\(80\) | 11.7278 | − | 5.97559i | 1.31120 | − | 0.668092i | ||||
\(81\) | −8.75513 | − | 1.86096i | −0.972792 | − | 0.206773i | ||||
\(82\) | −6.45764 | + | 14.5041i | −0.713128 | + | 1.60171i | ||||
\(83\) | 3.88948 | − | 2.52586i | 0.426926 | − | 0.277249i | −0.313239 | − | 0.949674i | \(-0.601414\pi\) |
0.740165 | + | 0.672425i | \(0.234747\pi\) | |||||||
\(84\) | 5.62579 | + | 6.94727i | 0.613824 | + | 0.758009i | ||||
\(85\) | −18.2667 | − | 7.01193i | −1.98130 | − | 0.760551i | ||||
\(86\) | −5.28003 | − | 13.7550i | −0.569361 | − | 1.48323i | ||||
\(87\) | −2.01493 | −0.216023 | ||||||||
\(88\) | 2.11075 | 0.225007 | ||||||||
\(89\) | −0.368168 | − | 0.959110i | −0.0390257 | − | 0.101665i | 0.912683 | − | 0.408669i | \(-0.134007\pi\) |
−0.951708 | + | 0.307004i | \(0.900674\pi\) | |||||||
\(90\) | −5.47135 | − | 25.7407i | −0.576731 | − | 2.71331i | ||||
\(91\) | −15.4928 | + | 6.89794i | −1.62409 | + | 0.723100i | ||||
\(92\) | − | 1.58650i | − | 0.165404i | ||||||
\(93\) | 13.6337 | − | 9.64114i | 1.41375 | − | 0.999739i | ||||
\(94\) | −1.42392 | − | 2.46630i | −0.146866 | − | 0.254379i | ||||
\(95\) | −0.0767871 | + | 0.361255i | −0.00787819 | + | 0.0370640i | ||||
\(96\) | 5.65492 | − | 8.70781i | 0.577153 | − | 0.888737i | ||||
\(97\) | 7.21045 | − | 8.90416i | 0.732110 | − | 0.904081i | −0.266096 | − | 0.963946i | \(-0.585734\pi\) |
0.998206 | + | 0.0598658i | \(0.0190673\pi\) | |||||||
\(98\) | 23.7075 | + | 6.35242i | 2.39482 | + | 0.641691i | ||||
\(99\) | 1.47694 | − | 5.51200i | 0.148438 | − | 0.553977i | ||||
\(100\) | 1.18807 | − | 0.863185i | 0.118807 | − | 0.0863185i | ||||
\(101\) | −2.49912 | − | 0.262668i | −0.248672 | − | 0.0261365i | −0.0206276 | − | 0.999787i | \(-0.506566\pi\) |
−0.228044 | + | 0.973651i | \(0.573233\pi\) | |||||||
\(102\) | −34.7716 | + | 5.50728i | −3.44290 | + | 0.545302i | ||||
\(103\) | 1.54602 | − | 7.27344i | 0.152334 | − | 0.716673i | −0.833980 | − | 0.551794i | \(-0.813943\pi\) |
0.986314 | − | 0.164879i | \(-0.0527233\pi\) | |||||||
\(104\) | 5.34947 | + | 5.94113i | 0.524559 | + | 0.582576i | ||||
\(105\) | −28.3575 | − | 25.5332i | −2.76741 | − | 2.49179i | ||||
\(106\) | −4.33809 | − | 8.51397i | −0.421352 | − | 0.826950i | ||||
\(107\) | 9.72353 | − | 4.32919i | 0.940009 | − | 0.418519i | 0.121228 | − | 0.992625i | \(-0.461317\pi\) |
0.818781 | + | 0.574106i | \(0.194650\pi\) | |||||||
\(108\) | −3.80821 | − | 4.22944i | −0.366445 | − | 0.406978i | ||||
\(109\) | 1.15690 | − | 0.589469i | 0.110811 | − | 0.0564609i | −0.397707 | − | 0.917513i | \(-0.630194\pi\) |
0.508517 | + | 0.861052i | \(0.330194\pi\) | |||||||
\(110\) | 4.12755 | − | 0.653740i | 0.393547 | − | 0.0623317i | ||||
\(111\) | −10.4014 | + | 16.0167i | −0.987255 | + | 1.52024i | ||||
\(112\) | −1.19781 | − | 22.8555i | −0.113182 | − | 2.15964i | ||||
\(113\) | −3.02310 | − | 1.34597i | −0.284390 | − | 0.126618i | 0.259585 | − | 0.965720i | \(-0.416414\pi\) |
−0.543974 | + | 0.839102i | \(0.683081\pi\) | |||||||
\(114\) | 0.205347 | + | 0.631993i | 0.0192325 | + | 0.0591916i | ||||
\(115\) | 1.05939 | + | 6.68872i | 0.0987885 | + | 0.623726i | ||||
\(116\) | −0.344447 | − | 0.250255i | −0.0319811 | − | 0.0232356i | ||||
\(117\) | 19.2578 | − | 9.81245i | 1.78038 | − | 0.907161i | ||||
\(118\) | −1.26393 | − | 2.18918i | −0.116354 | − | 0.201531i | ||||
\(119\) | −24.0572 | + | 24.0572i | −2.20532 | + | 2.20532i | ||||
\(120\) | −7.31653 | + | 16.4332i | −0.667905 | + | 1.50014i | ||||
\(121\) | −9.59978 | − | 3.11916i | −0.872707 | − | 0.283560i | ||||
\(122\) | −12.9491 | − | 6.59790i | −1.17236 | − | 0.597346i | ||||
\(123\) | −7.59385 | − | 28.3406i | −0.684714 | − | 2.55539i | ||||
\(124\) | 3.52808 | + | 0.0451898i | 0.316831 | + | 0.00405816i | ||||
\(125\) | 5.13128 | − | 5.13128i | 0.458956 | − | 0.458956i | ||||
\(126\) | −44.7582 | − | 9.51364i | −3.98737 | − | 0.847543i | ||||
\(127\) | 11.7544 | + | 13.0545i | 1.04303 | + | 1.15840i | 0.987122 | + | 0.159968i | \(0.0511390\pi\) |
0.0559090 | + | 0.998436i | \(0.482194\pi\) | |||||||
\(128\) | −12.6961 | + | 4.87356i | −1.12218 | + | 0.430766i | ||||
\(129\) | 23.5799 | + | 13.6139i | 2.07610 | + | 1.19864i | ||||
\(130\) | 12.3009 | + | 9.96098i | 1.07886 | + | 0.873635i | ||||
\(131\) | −11.2900 | − | 5.02664i | −0.986414 | − | 0.439180i | −0.150840 | − | 0.988558i | \(-0.548198\pi\) |
−0.835574 | + | 0.549379i | \(0.814865\pi\) | |||||||
\(132\) | 1.40604 | − | 1.13859i | 0.122380 | − | 0.0991011i | ||||
\(133\) | 0.519540 | + | 0.377468i | 0.0450499 | + | 0.0327306i | ||||
\(134\) | 6.39637 | + | 5.75931i | 0.552562 | + | 0.497529i | ||||
\(135\) | 18.8797 | + | 15.2885i | 1.62491 | + | 1.31583i | ||||
\(136\) | 14.2902 | + | 7.28122i | 1.22538 | + | 0.624360i | ||||
\(137\) | −3.68732 | − | 2.39457i | −0.315029 | − | 0.204582i | 0.377432 | − | 0.926037i | \(-0.376807\pi\) |
−0.692461 | + | 0.721455i | \(0.743474\pi\) | |||||||
\(138\) | 7.66816 | + | 9.46939i | 0.652757 | + | 0.806088i | ||||
\(139\) | −5.31330 | + | 4.78412i | −0.450668 | + | 0.405784i | −0.862963 | − | 0.505267i | \(-0.831394\pi\) |
0.412295 | + | 0.911051i | \(0.364727\pi\) | |||||||
\(140\) | −1.67640 | − | 7.88685i | −0.141682 | − | 0.666561i | ||||
\(141\) | 4.91328 | + | 1.88603i | 0.413773 | + | 0.158833i | ||||
\(142\) | 7.78585 | − | 7.01041i | 0.653374 | − | 0.588301i | ||||
\(143\) | 1.39605 | + | 3.13554i | 0.116744 | + | 0.262207i | ||||
\(144\) | 3.04892 | + | 29.0086i | 0.254077 | + | 2.41738i | ||||
\(145\) | 1.61931 | + | 0.825079i | 0.134476 | + | 0.0685190i | ||||
\(146\) | 15.4388 | − | 21.2497i | 1.27772 | − | 1.75863i | ||||
\(147\) | −41.4360 | + | 18.4485i | −3.41758 | + | 1.52161i | ||||
\(148\) | −3.76737 | + | 1.44616i | −0.309676 | + | 0.118873i | ||||
\(149\) | −10.3859 | − | 10.3859i | −0.850850 | − | 0.850850i | 0.139388 | − | 0.990238i | \(-0.455486\pi\) |
−0.990238 | + | 0.139388i | \(0.955486\pi\) | |||||||
\(150\) | −2.91919 | + | 10.8945i | −0.238350 | + | 0.889536i | ||||
\(151\) | 7.85459 | + | 1.24405i | 0.639198 | + | 0.101239i | 0.467617 | − | 0.883931i | \(-0.345113\pi\) |
0.171581 | + | 0.985170i | \(0.445113\pi\) | |||||||
\(152\) | 0.0935494 | − | 0.287915i | 0.00758786 | − | 0.0233530i | ||||
\(153\) | 29.0133 | − | 32.2225i | 2.34559 | − | 2.60504i | ||||
\(154\) | 1.88071 | − | 7.01889i | 0.151552 | − | 0.565598i | ||||
\(155\) | −14.9047 | + | 2.16537i | −1.19717 | + | 0.173926i | ||||
\(156\) | 6.76822 | + | 1.07194i | 0.541891 | + | 0.0858242i | ||||
\(157\) | −4.97110 | − | 15.2995i | −0.396737 | − | 1.22103i | −0.927600 | − | 0.373574i | \(-0.878132\pi\) |
0.530863 | − | 0.847458i | \(-0.321868\pi\) | |||||||
\(158\) | 9.66480 | + | 0.506511i | 0.768890 | + | 0.0402958i | ||||
\(159\) | 16.1319 | + | 7.18240i | 1.27934 | + | 0.569601i | ||||
\(160\) | −8.11029 | + | 4.68248i | −0.641175 | + | 0.370182i | ||||
\(161\) | 11.3741 | + | 3.04769i | 0.896408 | + | 0.240192i | ||||
\(162\) | 14.3470 | + | 2.27235i | 1.12721 | + | 0.178532i | ||||
\(163\) | 2.57519 | − | 6.70859i | 0.201704 | − | 0.525458i | −0.794997 | − | 0.606613i | \(-0.792528\pi\) |
0.996701 | + | 0.0811556i | \(0.0258611\pi\) | |||||||
\(164\) | 2.22177 | − | 5.78791i | 0.173491 | − | 0.451960i | ||||
\(165\) | −5.16759 | + | 5.73919i | −0.402296 | + | 0.446796i | ||||
\(166\) | −6.08895 | + | 4.42388i | −0.472594 | + | 0.343360i | ||||
\(167\) | −8.46977 | − | 13.0423i | −0.655411 | − | 1.00924i | −0.997575 | − | 0.0696037i | \(-0.977827\pi\) |
0.342164 | − | 0.939640i | \(-0.388840\pi\) | |||||||
\(168\) | 20.9293 | + | 23.2444i | 1.61473 | + | 1.79334i | ||||
\(169\) | −5.28745 | + | 11.8761i | −0.406727 | + | 0.913550i | ||||
\(170\) | 30.1995 | + | 9.81240i | 2.31619 | + | 0.752577i | ||||
\(171\) | −0.686402 | − | 0.445755i | −0.0524905 | − | 0.0340877i | ||||
\(172\) | 2.34007 | + | 5.25589i | 0.178429 | + | 0.400758i | ||||
\(173\) | 0.330135 | + | 1.55316i | 0.0250997 | + | 0.118085i | 0.988914 | − | 0.148490i | \(-0.0474413\pi\) |
−0.963814 | + | 0.266575i | \(0.914108\pi\) | |||||||
\(174\) | 3.26550 | − | 0.171137i | 0.247557 | − | 0.0129739i | ||||
\(175\) | 3.90616 | + | 10.1759i | 0.295278 | + | 0.769226i | ||||
\(176\) | −4.62565 | + | 0.242420i | −0.348672 | + | 0.0182731i | ||||
\(177\) | 4.36122 | + | 1.67412i | 0.327809 | + | 0.125834i | ||||
\(178\) | 0.678132 | + | 1.52311i | 0.0508281 | + | 0.114162i | ||||
\(179\) | −0.372378 | − | 3.54294i | −0.0278328 | − | 0.264812i | −0.999585 | − | 0.0288080i | \(-0.990829\pi\) |
0.971752 | − | 0.236004i | \(-0.0758378\pi\) | |||||||
\(180\) | 2.65963 | + | 9.92587i | 0.198237 | + | 0.739831i | ||||
\(181\) | 7.07512 | − | 12.2545i | 0.525890 | − | 0.910868i | −0.473655 | − | 0.880710i | \(-0.657066\pi\) |
0.999545 | − | 0.0301575i | \(-0.00960089\pi\) | |||||||
\(182\) | 24.5225 | − | 12.4950i | 1.81773 | − | 0.926191i | ||||
\(183\) | 26.2705 | − | 5.58396i | 1.94197 | − | 0.412778i | ||||
\(184\) | −0.290517 | − | 5.54340i | −0.0214172 | − | 0.408665i | ||||
\(185\) | 14.9177 | − | 8.61272i | 1.09677 | − | 0.633219i | ||||
\(186\) | −21.2766 | + | 16.7829i | −1.56008 | + | 1.23058i | ||||
\(187\) | 4.86887 | + | 4.86887i | 0.356047 | + | 0.356047i | ||||
\(188\) | 0.605666 | + | 0.932643i | 0.0441727 | + | 0.0680200i | ||||
\(189\) | 37.6380 | − | 19.1775i | 2.73776 | − | 1.39496i | ||||
\(190\) | 0.0937619 | − | 0.591989i | 0.00680220 | − | 0.0429474i | ||||
\(191\) | −6.82428 | − | 11.8200i | −0.493788 | − | 0.855265i | 0.506187 | − | 0.862424i | \(-0.331055\pi\) |
−0.999974 | + | 0.00715874i | \(0.997721\pi\) | |||||||
\(192\) | 6.16802 | − | 10.6833i | 0.445138 | − | 0.771002i | ||||
\(193\) | 2.34626 | + | 1.89996i | 0.168887 | + | 0.136762i | 0.710038 | − | 0.704163i | \(-0.248678\pi\) |
−0.541151 | + | 0.840926i | \(0.682011\pi\) | |||||||
\(194\) | −10.9293 | + | 15.0429i | −0.784680 | + | 1.08002i | ||||
\(195\) | −29.2508 | 0.000154583i | −2.09469 | 1.10699e-5i | ||||||
\(196\) | −9.37468 | − | 1.99265i | −0.669620 | − | 0.142332i | ||||
\(197\) | 1.37882 | − | 8.70553i | 0.0982369 | − | 0.620243i | −0.888620 | − | 0.458645i | \(-0.848335\pi\) |
0.986857 | − | 0.161598i | \(-0.0516649\pi\) | |||||||
\(198\) | −1.92544 | + | 9.05846i | −0.136835 | + | 0.643757i | ||||
\(199\) | −2.35811 | + | 0.501232i | −0.167162 | + | 0.0355314i | −0.290732 | − | 0.956804i | \(-0.593899\pi\) |
0.123570 | + | 0.992336i | \(0.460566\pi\) | |||||||
\(200\) | 3.99320 | − | 3.23363i | 0.282362 | − | 0.228652i | ||||
\(201\) | −15.8843 | − | 0.832463i | −1.12039 | − | 0.0587174i | ||||
\(202\) | 4.07251 | + | 0.213431i | 0.286540 | + | 0.0150169i | ||||
\(203\) | 2.45586 | − | 1.98871i | 0.172367 | − | 0.139580i | ||||
\(204\) | 13.4468 | − | 2.85820i | 0.941463 | − | 0.200114i | ||||
\(205\) | −5.50215 | + | 25.8856i | −0.384287 | + | 1.80793i | ||||
\(206\) | −1.88778 | + | 11.9190i | −0.131528 | + | 0.830435i | ||||
\(207\) | −14.6793 | − | 3.12018i | −1.02028 | − | 0.216867i | ||||
\(208\) | −12.4056 | − | 12.4054i | −0.860171 | − | 0.860162i | ||||
\(209\) | 0.0763946 | − | 0.105148i | 0.00528432 | − | 0.00727325i | ||||
\(210\) | 48.1262 | + | 38.9719i | 3.32103 | + | 2.68931i | ||||
\(211\) | 1.03081 | − | 1.78541i | 0.0709639 | − | 0.122913i | −0.828360 | − | 0.560196i | \(-0.810726\pi\) |
0.899324 | + | 0.437283i | \(0.144059\pi\) | |||||||
\(212\) | 1.86565 | + | 3.23140i | 0.128133 | + | 0.221934i | ||||
\(213\) | −3.02879 | + | 19.1231i | −0.207530 | + | 1.31029i | ||||
\(214\) | −15.3907 | + | 7.84196i | −1.05209 | + | 0.536066i | ||||
\(215\) | −13.3755 | − | 20.5964i | −0.912199 | − | 1.40466i | ||||
\(216\) | −14.0808 | − | 14.0808i | −0.958077 | − | 0.958077i | ||||
\(217\) | −7.10150 | + | 25.2072i | −0.482081 | + | 1.71118i | ||||
\(218\) | −1.82486 | + | 1.05358i | −0.123595 | + | 0.0713577i | ||||
\(219\) | 2.54038 | + | 48.4734i | 0.171663 | + | 3.27553i | ||||
\(220\) | −1.59620 | + | 0.339282i | −0.107615 | + | 0.0228744i | ||||
\(221\) | −1.36477 | + | 26.0440i | −0.0918044 | + | 1.75191i | ||||
\(222\) | 15.4966 | − | 26.8409i | 1.04006 | − | 1.80144i | ||||
\(223\) | 1.90736 | + | 7.11838i | 0.127727 | + | 0.476682i | 0.999922 | − | 0.0124753i | \(-0.00397112\pi\) |
−0.872196 | + | 0.489157i | \(0.837304\pi\) | |||||||
\(224\) | 1.70213 | + | 16.1947i | 0.113728 | + | 1.08205i | ||||
\(225\) | −5.65015 | − | 12.6904i | −0.376677 | − | 0.846029i | ||||
\(226\) | 5.01371 | + | 1.92458i | 0.333507 | + | 0.128021i | ||||
\(227\) | 0.158863 | − | 0.00832563i | 0.0105441 | − | 0.000552592i | −0.0470632 | − | 0.998892i | \(-0.514986\pi\) |
0.0576073 | + | 0.998339i | \(0.481653\pi\) | |||||||
\(228\) | −0.0929917 | − | 0.242252i | −0.00615852 | − | 0.0160435i | ||||
\(229\) | 22.8930 | − | 1.19977i | 1.51281 | − | 0.0792830i | 0.722235 | − | 0.691648i | \(-0.243115\pi\) |
0.790575 | + | 0.612365i | \(0.209782\pi\) | |||||||
\(230\) | −2.28500 | − | 10.7501i | −0.150668 | − | 0.708839i | ||||
\(231\) | 5.46189 | + | 12.2676i | 0.359366 | + | 0.807149i | ||||
\(232\) | −1.24936 | − | 0.811346i | −0.0820247 | − | 0.0532675i | ||||
\(233\) | −12.9133 | − | 4.19577i | −0.845976 | − | 0.274874i | −0.146216 | − | 0.989253i | \(-0.546710\pi\) |
−0.699760 | + | 0.714378i | \(0.746710\pi\) | |||||||
\(234\) | −30.3766 | + | 17.5382i | −1.98578 | + | 1.14651i | ||||
\(235\) | −3.17628 | − | 3.52762i | −0.207198 | − | 0.230116i | ||||
\(236\) | 0.537612 | + | 0.827850i | 0.0349956 | + | 0.0538885i | ||||
\(237\) | −14.4694 | + | 10.5126i | −0.939889 | + | 0.682869i | ||||
\(238\) | 36.9450 | − | 41.0316i | 2.39479 | − | 2.65968i | ||||
\(239\) | −6.37038 | + | 16.5954i | −0.412065 | + | 1.07347i | 0.557832 | + | 0.829954i | \(0.311633\pi\) |
−0.969898 | + | 0.243513i | \(0.921700\pi\) | |||||||
\(240\) | 14.1466 | − | 36.8532i | 0.913160 | − | 2.37886i | ||||
\(241\) | 0.979763 | + | 0.155179i | 0.0631121 | + | 0.00999597i | 0.187911 | − | 0.982186i | \(-0.439828\pi\) |
−0.124799 | + | 0.992182i | \(0.539828\pi\) | |||||||
\(242\) | 15.8228 | + | 4.23970i | 1.01713 | + | 0.272538i | ||||
\(243\) | 0.0853013 | − | 0.0492488i | 0.00547208 | − | 0.00315931i | ||||
\(244\) | 5.18439 | + | 2.30824i | 0.331897 | + | 0.147770i | ||||
\(245\) | 40.8545 | + | 2.14109i | 2.61010 | + | 0.136789i | ||||
\(246\) | 14.7140 | + | 45.2852i | 0.938134 | + | 2.88728i | ||||
\(247\) | 0.489574 | − | 0.0514589i | 0.0311508 | − | 0.00327425i | ||||
\(248\) | 12.3358 | − | 0.488159i | 0.783323 | − | 0.0309982i | ||||
\(249\) | 3.59986 | − | 13.4349i | 0.228132 | − | 0.851400i | ||||
\(250\) | −7.88017 | + | 8.75182i | −0.498386 | + | 0.553514i | ||||
\(251\) | 3.60209 | − | 11.0861i | 0.227362 | − | 0.699748i | −0.770681 | − | 0.637221i | \(-0.780084\pi\) |
0.998043 | − | 0.0625271i | \(-0.0199160\pi\) | |||||||
\(252\) | 17.6481 | + | 2.79518i | 1.11172 | + | 0.176080i | ||||
\(253\) | 0.616813 | − | 2.30198i | 0.0387787 | − | 0.144724i | ||||
\(254\) | −20.1585 | − | 20.1585i | −1.26486 | − | 1.26486i | ||||
\(255\) | −54.7835 | + | 21.0294i | −3.43067 | + | 1.31691i | ||||
\(256\) | 12.6466 | − | 5.63064i | 0.790413 | − | 0.351915i | ||||
\(257\) | 4.38389 | − | 6.03390i | 0.273459 | − | 0.376385i | −0.650094 | − | 0.759853i | \(-0.725271\pi\) |
0.923554 | + | 0.383469i | \(0.125271\pi\) | |||||||
\(258\) | −39.3711 | − | 20.0606i | −2.45114 | − | 1.24892i | ||||
\(259\) | −3.13081 | − | 29.7877i | −0.194539 | − | 1.85092i | ||||
\(260\) | −5.00036 | − | 3.63293i | −0.310109 | − | 0.225305i | ||||
\(261\) | −2.99295 | + | 2.69486i | −0.185259 | + | 0.166808i | ||||
\(262\) | 18.7241 | + | 7.18750i | 1.15678 | + | 0.444045i | ||||
\(263\) | −1.52334 | − | 7.16674i | −0.0939331 | − | 0.441920i | −0.999830 | − | 0.0184228i | \(-0.994136\pi\) |
0.905897 | − | 0.423498i | \(-0.139198\pi\) | |||||||
\(264\) | 4.70435 | − | 4.23582i | 0.289533 | − | 0.260696i | ||||
\(265\) | −10.0234 | − | 12.3779i | −0.615734 | − | 0.760368i | ||||
\(266\) | −0.874052 | − | 0.567616i | −0.0535916 | − | 0.0348028i | ||||
\(267\) | −2.74528 | − | 1.39879i | −0.168008 | − | 0.0856045i | ||||
\(268\) | −2.61199 | − | 2.11515i | −0.159553 | − | 0.129203i | ||||
\(269\) | −5.58071 | − | 5.02489i | −0.340262 | − | 0.306373i | 0.481229 | − | 0.876595i | \(-0.340191\pi\) |
−0.821491 | + | 0.570222i | \(0.806857\pi\) | |||||||
\(270\) | −31.8959 | − | 23.1738i | −1.94112 | − | 1.41031i | ||||
\(271\) | −6.78548 | + | 5.49477i | −0.412189 | + | 0.333784i | −0.812882 | − | 0.582428i | \(-0.802103\pi\) |
0.400693 | + | 0.916212i | \(0.368769\pi\) | |||||||
\(272\) | −32.1528 | − | 14.3154i | −1.94955 | − | 0.867996i | ||||
\(273\) | −20.6870 | + | 46.4645i | −1.25204 | + | 2.81216i | ||||
\(274\) | 6.17923 | + | 3.56758i | 0.373301 | + | 0.215525i | ||||
\(275\) | 2.05947 | − | 0.790556i | 0.124191 | − | 0.0476723i | ||||
\(276\) | −3.18375 | − | 3.53591i | −0.191639 | − | 0.212837i | ||||
\(277\) | 24.2349 | + | 5.15129i | 1.45613 | + | 0.309511i | 0.866912 | − | 0.498461i | \(-0.166101\pi\) |
0.589222 | + | 0.807972i | \(0.299435\pi\) | |||||||
\(278\) | 8.20466 | − | 8.20466i | 0.492083 | − | 0.492083i | ||||
\(279\) | 7.35683 | − | 32.5552i | 0.440442 | − | 1.94903i | ||||
\(280\) | −7.30177 | − | 27.2506i | −0.436364 | − | 1.62853i | ||||
\(281\) | 3.49997 | + | 1.78332i | 0.208791 | + | 0.106384i | 0.555259 | − | 0.831678i | \(-0.312619\pi\) |
−0.346468 | + | 0.938062i | \(0.612619\pi\) | |||||||
\(282\) | −8.12289 | − | 2.63929i | −0.483711 | − | 0.157167i | ||||
\(283\) | 11.6259 | − | 26.1122i | 0.691087 | − | 1.55221i | −0.136357 | − | 0.990660i | \(-0.543539\pi\) |
0.827444 | − | 0.561548i | \(-0.189794\pi\) | |||||||
\(284\) | −2.89285 | + | 2.89285i | −0.171659 | + | 0.171659i | ||||
\(285\) | 0.553820 | + | 0.959244i | 0.0328055 | + | 0.0568207i | ||||
\(286\) | −2.52882 | − | 4.96303i | −0.149532 | − | 0.293470i | ||||
\(287\) | 37.2274 | + | 27.0473i | 2.19747 | + | 1.59655i | ||||
\(288\) | −3.24650 | − | 20.4976i | −0.191302 | − | 1.20783i | ||||
\(289\) | 10.9143 | + | 33.5908i | 0.642019 | + | 1.97593i | ||||
\(290\) | −2.69441 | − | 1.19963i | −0.158221 | − | 0.0704445i | ||||
\(291\) | −1.79837 | − | 34.3150i | −0.105422 | − | 2.01158i | ||||
\(292\) | −5.58614 | + | 8.60190i | −0.326904 | + | 0.503388i | ||||
\(293\) | 11.6895 | − | 1.85143i | 0.682908 | − | 0.108162i | 0.194665 | − | 0.980870i | \(-0.437638\pi\) |
0.488243 | + | 0.872708i | \(0.337638\pi\) | |||||||
\(294\) | 65.5862 | − | 33.4179i | 3.82507 | − | 1.94897i | ||||
\(295\) | −2.81939 | − | 3.13125i | −0.164151 | − | 0.182308i | ||||
\(296\) | −12.8988 | + | 5.74291i | −0.749727 | + | 0.333800i | ||||
\(297\) | −3.88128 | − | 7.61743i | −0.225214 | − | 0.442008i | ||||
\(298\) | 17.7141 | + | 15.9498i | 1.02615 | + | 0.923949i | ||||
\(299\) | 8.04262 | − | 4.09797i | 0.465116 | − | 0.236992i | ||||
\(300\) | 0.915700 | − | 4.30803i | 0.0528680 | − | 0.248724i | ||||
\(301\) | −42.1767 | + | 6.68013i | −2.43102 | + | 0.385036i | ||||
\(302\) | −12.8352 | − | 1.34903i | −0.738582 | − | 0.0776281i | ||||
\(303\) | −6.09705 | + | 4.42976i | −0.350266 | + | 0.254483i | ||||
\(304\) | −0.171944 | + | 0.641702i | −0.00986164 | + | 0.0368042i | ||||
\(305\) | −23.3989 | − | 6.26971i | −1.33982 | − | 0.359003i | ||||
\(306\) | −44.2835 | + | 54.6856i | −2.53152 | + | 3.12617i | ||||
\(307\) | 6.77535 | − | 10.4331i | 0.386689 | − | 0.595450i | −0.590701 | − | 0.806890i | \(-0.701149\pi\) |
0.977391 | + | 0.211441i | \(0.0678155\pi\) | |||||||
\(308\) | −0.589946 | + | 2.77548i | −0.0336153 | + | 0.158148i | ||||
\(309\) | −11.1505 | − | 19.3132i | −0.634330 | − | 1.09869i | ||||
\(310\) | 23.9713 | − | 4.77522i | 1.36148 | − | 0.271214i | ||||
\(311\) | 13.4532i | 0.762862i | 0.924397 | + | 0.381431i | \(0.124569\pi\) | ||||
−0.924397 | + | 0.381431i | \(0.875431\pi\) | |||||||
\(312\) | 23.8452 | + | 2.50611i | 1.34997 | + | 0.141880i | ||||
\(313\) | 1.71629 | + | 8.07453i | 0.0970107 | + | 0.456399i | 0.999661 | + | 0.0260253i | \(0.00828504\pi\) |
−0.902651 | + | 0.430374i | \(0.858382\pi\) | |||||||
\(314\) | 9.35587 | + | 24.3729i | 0.527982 | + | 1.37544i | ||||
\(315\) | −76.2712 | −4.29739 | ||||||||
\(316\) | −3.77918 | −0.212595 | ||||||||
\(317\) | 3.95871 | + | 10.3128i | 0.222343 | + | 0.579224i | 0.998695 | − | 0.0510760i | \(-0.0162651\pi\) |
−0.776351 | + | 0.630300i | \(0.782932\pi\) | |||||||
\(318\) | −26.7542 | − | 10.2700i | −1.50030 | − | 0.575912i | ||||
\(319\) | −0.402490 | − | 0.497033i | −0.0225351 | − | 0.0278285i | ||||
\(320\) | −9.33158 | + | 6.06000i | −0.521651 | + | 0.338764i | ||||
\(321\) | 12.9836 | − | 29.1617i | 0.724676 | − | 1.62765i | ||||
\(322\) | −18.6923 | − | 3.97318i | −1.04168 | − | 0.221417i | ||||
\(323\) | 0.879924 | − | 0.448344i | 0.0489603 | − | 0.0249465i | ||||
\(324\) | −5.64113 | − | 0.592906i | −0.313396 | − | 0.0329392i | ||||
\(325\) | 7.44468 | + | 3.79320i | 0.412956 | + | 0.210409i | ||||
\(326\) | −3.60368 | + | 11.0910i | −0.199589 | + | 0.614273i | ||||
\(327\) | 1.39551 | − | 3.63543i | 0.0771718 | − | 0.201040i | ||||
\(328\) | 6.70324 | − | 20.6305i | 0.370125 | − | 1.13913i | ||||
\(329\) | −7.84994 | + | 2.55060i | −0.432781 | + | 0.140619i | ||||
\(330\) | 7.88739 | − | 9.74012i | 0.434187 | − | 0.536176i | ||||
\(331\) | −1.65962 | − | 31.6675i | −0.0912210 | − | 1.74060i | −0.535343 | − | 0.844635i | \(-0.679818\pi\) |
0.444122 | − | 0.895966i | \(-0.353516\pi\) | |||||||
\(332\) | 2.28400 | − | 1.84955i | 0.125351 | − | 0.101507i | ||||
\(333\) | 5.97145 | + | 37.7023i | 0.327234 | + | 2.06607i | ||||
\(334\) | 14.8343 | + | 20.4176i | 0.811695 | + | 1.11720i | ||||
\(335\) | 12.4246 | + | 7.17336i | 0.678830 | + | 0.391922i | ||||
\(336\) | −48.5356 | − | 48.5356i | −2.64783 | − | 2.64783i | ||||
\(337\) | 22.2552 | − | 16.1693i | 1.21232 | − | 0.880800i | 0.216878 | − | 0.976199i | \(-0.430412\pi\) |
0.995439 | + | 0.0953984i | \(0.0304125\pi\) | |||||||
\(338\) | 7.56040 | − | 19.6961i | 0.411232 | − | 1.07133i | ||||
\(339\) | −9.43883 | + | 3.06686i | −0.512647 | + | 0.166569i | ||||
\(340\) | −11.9769 | − | 3.20921i | −0.649541 | − | 0.174044i | ||||
\(341\) | 5.10161 | + | 1.43725i | 0.276268 | + | 0.0778314i | ||||
\(342\) | 1.15028 | + | 0.664112i | 0.0621998 | + | 0.0359111i | ||||
\(343\) | 17.3472 | − | 34.0459i | 0.936663 | − | 1.83831i | ||||
\(344\) | 9.13894 | + | 17.9362i | 0.492739 | + | 0.967054i | ||||
\(345\) | 15.7839 | + | 12.7816i | 0.849777 | + | 0.688136i | ||||
\(346\) | −0.666950 | − | 2.48909i | −0.0358555 | − | 0.133814i | ||||
\(347\) | 15.3681i | 0.825001i | 0.910957 | + | 0.412501i | \(0.135345\pi\) | ||||
−0.910957 | + | 0.412501i | \(0.864655\pi\) | |||||||
\(348\) | −1.26990 | + | 0.133471i | −0.0680736 | + | 0.00715482i | ||||
\(349\) | −14.4765 | − | 17.8770i | −0.774909 | − | 0.956933i | 0.224939 | − | 0.974373i | \(-0.427782\pi\) |
−0.999848 | + | 0.0174398i | \(0.994448\pi\) | |||||||
\(350\) | −7.19480 | − | 16.1598i | −0.384578 | − | 0.863777i | ||||
\(351\) | 11.6041 | − | 30.2302i | 0.619381 | − | 1.61357i | ||||
\(352\) | 3.27759 | − | 0.344488i | 0.174696 | − | 0.0183613i | ||||
\(353\) | 31.1654 | − | 20.2391i | 1.65877 | − | 1.07722i | 0.748562 | − | 0.663065i | \(-0.230745\pi\) |
0.910207 | − | 0.414153i | \(-0.135922\pi\) | |||||||
\(354\) | −7.21019 | − | 2.34273i | −0.383217 | − | 0.124515i | ||||
\(355\) | 10.2646 | − | 14.1281i | 0.544791 | − | 0.749840i | ||||
\(356\) | −0.295567 | − | 0.580084i | −0.0156650 | − | 0.0307444i | ||||
\(357\) | −5.34011 | + | 101.895i | −0.282628 | + | 5.39287i | ||||
\(358\) | 0.904412 | + | 5.71023i | 0.0477997 | + | 0.301795i | ||||
\(359\) | −22.1447 | − | 1.16055i | −1.16875 | − | 0.0612516i | −0.541936 | − | 0.840420i | \(-0.682308\pi\) |
−0.626815 | + | 0.779168i | \(0.715642\pi\) | |||||||
\(360\) | 11.1107 | + | 34.1951i | 0.585583 | + | 1.80224i | ||||
\(361\) | 11.1570 | + | 15.3562i | 0.587209 | + | 0.808223i | ||||
\(362\) | −10.4255 | + | 20.4611i | −0.547950 | + | 1.07541i | ||||
\(363\) | −27.6550 | + | 12.3128i | −1.45151 | + | 0.646255i | ||||
\(364\) | −9.30729 | + | 5.37363i | −0.487835 | + | 0.281655i | ||||
\(365\) | 17.8074 | − | 39.9960i | 0.932081 | − | 2.09349i | ||||
\(366\) | −42.1009 | + | 11.2809i | −2.20065 | + | 0.589662i | ||||
\(367\) | 2.50979i | 0.131010i | 0.997852 | + | 0.0655050i | \(0.0208658\pi\) | ||||
−0.997852 | + | 0.0655050i | \(0.979134\pi\) | |||||||
\(368\) | 1.27332 | + | 12.1148i | 0.0663764 | + | 0.631530i | ||||
\(369\) | −49.1838 | − | 31.9404i | −2.56041 | − | 1.66275i | ||||
\(370\) | −23.4448 | + | 15.2252i | −1.21884 | + | 0.791521i | ||||
\(371\) | −26.7510 | + | 7.16791i | −1.38884 | + | 0.372139i | ||||
\(372\) | 7.95392 | − | 6.97937i | 0.412391 | − | 0.361863i | ||||
\(373\) | −5.33138 | + | 9.23421i | −0.276048 | + | 0.478129i | −0.970399 | − | 0.241507i | \(-0.922358\pi\) |
0.694351 | + | 0.719637i | \(0.255692\pi\) | |||||||
\(374\) | −8.30426 | − | 7.47719i | −0.429403 | − | 0.386636i | ||||
\(375\) | 1.13902 | − | 21.7337i | 0.0588185 | − | 1.12232i | ||||
\(376\) | 2.28705 | + | 3.14785i | 0.117946 | + | 0.162338i | ||||
\(377\) | 0.378932 | − | 2.39256i | 0.0195160 | − | 0.123223i | ||||
\(378\) | −59.3691 | + | 34.2768i | −3.05362 | + | 1.76301i | ||||
\(379\) | 8.92476 | − | 11.0212i | 0.458434 | − | 0.566119i | −0.494546 | − | 0.869151i | \(-0.664666\pi\) |
0.952980 | + | 0.303032i | \(0.0979990\pi\) | |||||||
\(380\) | −0.0244646 | + | 0.232765i | −0.00125501 | + | 0.0119406i | ||||
\(381\) | 52.3952 | + | 5.50696i | 2.68429 | + | 0.282130i | ||||
\(382\) | 12.0637 | + | 18.5764i | 0.617232 | + | 0.950453i | ||||
\(383\) | −28.3428 | + | 10.8798i | −1.44825 | + | 0.555932i | −0.950317 | − | 0.311283i | \(-0.899241\pi\) |
−0.497934 | + | 0.867215i | \(0.665908\pi\) | |||||||
\(384\) | −18.5163 | + | 36.3402i | −0.944904 | + | 1.85448i | ||||
\(385\) | 0.633895 | − | 12.0954i | 0.0323063 | − | 0.616441i | ||||
\(386\) | −3.96383 | − | 2.87989i | −0.201754 | − | 0.146583i | ||||
\(387\) | 53.2331 | − | 11.3151i | 2.70599 | − | 0.575176i | ||||
\(388\) | 3.95451 | − | 6.08941i | 0.200760 | − | 0.309143i | ||||
\(389\) | 3.57561 | − | 34.0196i | 0.181290 | − | 1.72486i | −0.404618 | − | 0.914486i | \(-0.632595\pi\) |
0.585908 | − | 0.810377i | \(-0.300738\pi\) | |||||||
\(390\) | 47.4052 | − | 2.48465i | 2.40046 | − | 0.125815i | ||||
\(391\) | 12.1168 | − | 13.4571i | 0.612774 | − | 0.680554i | ||||
\(392\) | −33.1211 | − | 5.24586i | −1.67287 | − | 0.264956i | ||||
\(393\) | −35.2501 | + | 11.4534i | −1.77813 | + | 0.577750i | ||||
\(394\) | −1.49518 | + | 14.2257i | −0.0753262 | + | 0.716681i | ||||
\(395\) | 15.9331 | − | 2.52356i | 0.801683 | − | 0.126974i | ||||
\(396\) | 0.565707 | − | 3.57173i | 0.0284278 | − | 0.179486i | ||||
\(397\) | 1.73251 | − | 1.73251i | 0.0869520 | − | 0.0869520i | −0.662293 | − | 0.749245i | \(-0.730417\pi\) |
0.749245 | + | 0.662293i | \(0.230417\pi\) | |||||||
\(398\) | 3.77909 | − | 1.01261i | 0.189429 | − | 0.0507573i | ||||
\(399\) | 1.91542 | − | 0.201319i | 0.0958912 | − | 0.0100786i | ||||
\(400\) | −8.37959 | + | 7.54502i | −0.418980 | + | 0.377251i | ||||
\(401\) | 24.4711 | − | 1.28248i | 1.22203 | − | 0.0640439i | 0.569619 | − | 0.821909i | \(-0.307091\pi\) |
0.652411 | + | 0.757865i | \(0.273758\pi\) | |||||||
\(402\) | 25.8136 | 1.28747 | ||||||||
\(403\) | 8.88406 | + | 18.0020i | 0.442546 | + | 0.896746i | ||||
\(404\) | −1.59245 | −0.0792274 | ||||||||
\(405\) | 24.1791 | − | 1.26717i | 1.20147 | − | 0.0629662i | ||||
\(406\) | −3.81117 | + | 3.43159i | −0.189145 | + | 0.170307i | ||||
\(407\) | −6.02863 | + | 0.633635i | −0.298828 | + | 0.0314081i | ||||
\(408\) | 46.4612 | − | 12.4492i | 2.30017 | − | 0.616329i | ||||
\(409\) | −9.01372 | + | 9.01372i | −0.445700 | + | 0.445700i | −0.893922 | − | 0.448222i | \(-0.852057\pi\) |
0.448222 | + | 0.893922i | \(0.352057\pi\) | |||||||
\(410\) | 6.71847 | − | 42.4187i | 0.331801 | − | 2.09491i | ||||
\(411\) | −13.0235 | + | 2.06272i | −0.642403 | + | 0.101747i | ||||
\(412\) | 0.492565 | − | 4.68644i | 0.0242669 | − | 0.230884i | ||||
\(413\) | −6.96791 | + | 2.26401i | −0.342868 | + | 0.111405i | ||||
\(414\) | 24.0550 | + | 3.80993i | 1.18224 | + | 0.187248i | ||||
\(415\) | −8.39437 | + | 9.32290i | −0.412064 | + | 0.457643i | ||||
\(416\) | 9.27632 | + | 8.35235i | 0.454809 | + | 0.409508i | ||||
\(417\) | −2.24138 | + | 21.3253i | −0.109761 | + | 1.04430i | ||||
\(418\) | −0.114878 | + | 0.176897i | −0.00561887 | + | 0.00865230i | ||||
\(419\) | 16.8542 | − | 3.58247i | 0.823381 | − | 0.175015i | 0.223091 | − | 0.974798i | \(-0.428385\pi\) |
0.600290 | + | 0.799782i | \(0.295052\pi\) | |||||||
\(420\) | −19.5635 | − | 14.2137i | −0.954600 | − | 0.693557i | ||||
\(421\) | 1.10350 | − | 21.0561i | 0.0537815 | − | 1.02621i | −0.829838 | − | 0.558005i | \(-0.811567\pi\) |
0.883619 | − | 0.468207i | \(-0.155100\pi\) | |||||||
\(422\) | −1.51894 | + | 2.98108i | −0.0739407 | + | 0.145117i | ||||
\(423\) | 9.82058 | − | 3.76977i | 0.477493 | − | 0.183292i | ||||
\(424\) | 7.11053 | + | 10.9492i | 0.345318 | + | 0.531743i | ||||
\(425\) | 16.6701 | + | 1.75210i | 0.808618 | + | 0.0849892i | ||||
\(426\) | 3.28440 | − | 31.2490i | 0.159130 | − | 1.51402i | ||||
\(427\) | −26.5079 | + | 32.7345i | −1.28281 | + | 1.58413i | ||||
\(428\) | 5.84141 | − | 3.37254i | 0.282355 | − | 0.163018i | ||||
\(429\) | 9.40380 | + | 4.18678i | 0.454020 | + | 0.202140i | ||||
\(430\) | 23.4263 | + | 32.2435i | 1.12971 | + | 1.55492i | ||||
\(431\) | −1.43568 | + | 27.3943i | −0.0691541 | + | 1.31954i | 0.715067 | + | 0.699056i | \(0.246396\pi\) |
−0.784221 | + | 0.620482i | \(0.786937\pi\) | |||||||
\(432\) | 32.4749 | + | 29.2405i | 1.56245 | + | 1.40683i | ||||
\(433\) | −12.2831 | + | 21.2750i | −0.590288 | + | 1.02241i | 0.403905 | + | 0.914801i | \(0.367653\pi\) |
−0.994193 | + | 0.107608i | \(0.965681\pi\) | |||||||
\(434\) | 9.36806 | − | 41.4552i | 0.449681 | − | 1.98991i | ||||
\(435\) | 5.26479 | − | 1.41070i | 0.252428 | − | 0.0676378i | ||||
\(436\) | 0.690080 | − | 0.448143i | 0.0330488 | − | 0.0214622i | ||||
\(437\) | −0.286662 | − | 0.186160i | −0.0137129 | − | 0.00890526i | ||||
\(438\) | −8.23413 | − | 78.3425i | −0.393442 | − | 3.74335i | ||||
\(439\) | 20.9673i | 1.00072i | 0.865819 | + | 0.500358i | \(0.166798\pi\) | ||||
−0.865819 | + | 0.500358i | \(0.833202\pi\) | |||||||
\(440\) | −5.51516 | + | 1.47778i | −0.262925 | + | 0.0704505i | ||||
\(441\) | −36.8745 | + | 82.8215i | −1.75593 | + | 3.94388i | ||||
\(442\) | −0.000223672 | − | 42.3241i | −1.06390e−5 | − | 2.01315i | ||||
\(443\) | −10.0323 | + | 4.46667i | −0.476650 | + | 0.212218i | −0.630977 | − | 0.775802i | \(-0.717346\pi\) |
0.154327 | + | 0.988020i | \(0.450679\pi\) | |||||||
\(444\) | −5.49442 | + | 10.7834i | −0.260754 | + | 0.511758i | ||||
\(445\) | 1.63347 | + | 2.24828i | 0.0774341 | + | 0.106579i | ||||
\(446\) | −3.69576 | − | 11.3744i | −0.174999 | − | 0.538593i | ||||
\(447\) | −43.9900 | − | 2.30542i | −2.08066 | − | 0.109043i | ||||
\(448\) | 3.02655 | + | 19.1089i | 0.142991 | + | 0.902811i | ||||
\(449\) | −1.74812 | + | 33.3562i | −0.0824990 | + | 1.57417i | 0.573368 | + | 0.819298i | \(0.305637\pi\) |
−0.655867 | + | 0.754877i | \(0.727697\pi\) | |||||||
\(450\) | 10.2348 | + | 20.0868i | 0.482471 | + | 0.946903i | ||||
\(451\) | 5.47402 | − | 7.53434i | 0.257762 | − | 0.354778i | ||||
\(452\) | −1.99445 | − | 0.648035i | −0.0938109 | − | 0.0304810i | ||||
\(453\) | 20.0025 | − | 12.9898i | 0.939799 | − | 0.610313i | ||||
\(454\) | −0.256753 | + | 0.0269858i | −0.0120500 | + | 0.00126651i | ||||
\(455\) | 35.6516 | − | 28.8704i | 1.67137 | − | 1.35346i | ||||
\(456\) | −0.369284 | − | 0.829426i | −0.0172933 | − | 0.0388414i | ||||
\(457\) | 7.70713 | + | 9.51751i | 0.360524 | + | 0.445211i | 0.924844 | − | 0.380346i | \(-0.124195\pi\) |
−0.564320 | + | 0.825556i | \(0.690862\pi\) | |||||||
\(458\) | −36.9996 | + | 3.88881i | −1.72888 | + | 0.181712i | ||||
\(459\) | − | 64.9603i | − | 3.03209i | ||||||
\(460\) | 1.11074 | + | 4.14534i | 0.0517885 | + | 0.193277i | ||||
\(461\) | 15.5739 | + | 12.6115i | 0.725351 | + | 0.587378i | 0.919264 | − | 0.393641i | \(-0.128785\pi\) |
−0.193913 | + | 0.981019i | \(0.562118\pi\) | |||||||
\(462\) | −9.89374 | − | 19.4176i | −0.460298 | − | 0.903386i | ||||
\(463\) | −6.83639 | + | 13.4172i | −0.317714 | + | 0.623549i | −0.993536 | − | 0.113516i | \(-0.963789\pi\) |
0.675822 | + | 0.737065i | \(0.263789\pi\) | |||||||
\(464\) | 2.83113 | + | 1.63455i | 0.131432 | + | 0.0758822i | ||||
\(465\) | −28.8734 | + | 34.7365i | −1.33897 | + | 1.61087i | ||||
\(466\) | 21.2842 | + | 5.70309i | 0.985972 | + | 0.264190i | ||||
\(467\) | −13.5788 | + | 4.41203i | −0.628354 | + | 0.204165i | −0.605846 | − | 0.795582i | \(-0.707165\pi\) |
−0.0225081 | + | 0.999747i | \(0.507165\pi\) | |||||||
\(468\) | 11.4871 | − | 7.45988i | 0.530990 | − | 0.344833i | ||||
\(469\) | 20.1819 | − | 14.6630i | 0.931914 | − | 0.677075i | ||||
\(470\) | 5.44725 | + | 5.44725i | 0.251263 | + | 0.251263i | ||||
\(471\) | −41.7821 | − | 24.1229i | −1.92522 | − | 1.11152i | ||||
\(472\) | 2.03007 | + | 2.79416i | 0.0934417 | + | 0.128611i | ||||
\(473\) | 1.35197 | + | 8.53600i | 0.0621636 | + | 0.392486i | ||||
\(474\) | 22.5569 | − | 18.2662i | 1.03607 | − | 0.838996i | ||||
\(475\) | −0.0165586 | − | 0.315958i | −0.000759763 | − | 0.0144971i | ||||
\(476\) | −13.5683 | + | 16.7555i | −0.621903 | + | 0.767986i | ||||
\(477\) | 33.5682 | − | 10.9070i | 1.53698 | − | 0.499396i | ||||
\(478\) | 8.91461 | − | 27.4364i | 0.407745 | − | 1.25491i | ||||
\(479\) | −7.35083 | + | 19.1496i | −0.335868 | + | 0.874966i | 0.656797 | + | 0.754068i | \(0.271911\pi\) |
−0.992665 | + | 0.120899i | \(0.961422\pi\) | |||||||
\(480\) | −8.67915 | + | 26.7117i | −0.396147 | + | 1.21922i | ||||
\(481\) | −17.0624 | − | 15.3629i | −0.777979 | − | 0.700488i | ||||
\(482\) | −1.60103 | − | 0.168275i | −0.0729250 | − | 0.00766472i | ||||
\(483\) | 31.4662 | − | 16.0329i | 1.43176 | − | 0.729520i | ||||
\(484\) | −6.25680 | − | 1.32992i | −0.284400 | − | 0.0604511i | ||||
\(485\) | −12.6061 | + | 28.3138i | −0.572413 | + | 1.28566i | ||||
\(486\) | −0.134061 | + | 0.0870599i | −0.00608111 | + | 0.00394912i | ||||
\(487\) | −20.1799 | − | 24.9201i | −0.914439 | − | 1.12924i | −0.991224 | − | 0.132190i | \(-0.957799\pi\) |
0.0767858 | − | 0.997048i | \(-0.475534\pi\) | |||||||
\(488\) | 18.5375 | + | 7.11590i | 0.839155 | + | 0.322121i | ||||
\(489\) | −7.72321 | − | 20.1197i | −0.349256 | − | 0.909842i | ||||
\(490\) | −66.3926 | −2.99931 | ||||||||
\(491\) | −15.7895 | −0.712570 | −0.356285 | − | 0.934377i | \(-0.615957\pi\) | ||||
−0.356285 | + | 0.934377i | \(0.615957\pi\) | |||||||
\(492\) | −6.66328 | − | 17.3584i | −0.300404 | − | 0.782579i | ||||
\(493\) | −1.01037 | − | 4.75344i | −0.0455050 | − | 0.214084i | ||||
\(494\) | −0.789057 | + | 0.124979i | −0.0355013 | + | 0.00562305i | ||||
\(495\) | 15.4363i | 0.693809i | ||||||||
\(496\) | −26.9775 | + | 2.48655i | −1.21132 | + | 0.111650i | ||||
\(497\) | −15.1826 | − | 26.2971i | −0.681035 | − | 1.17959i | ||||
\(498\) | −4.69302 | + | 22.0789i | −0.210299 | + | 0.989381i | ||||
\(499\) | 9.14416 | − | 14.0808i | 0.409349 | − | 0.630342i | −0.572523 | − | 0.819889i | \(-0.694035\pi\) |
0.981872 | + | 0.189547i | \(0.0607019\pi\) | |||||||
\(500\) | 2.89405 | − | 3.57385i | 0.129426 | − | 0.159828i | ||||
\(501\) | −45.0501 | − | 12.0711i | −2.01269 | − | 0.539299i | ||||
\(502\) | −4.89613 | + | 18.2726i | −0.218525 | + | 0.815546i | ||||
\(503\) | 22.5139 | − | 16.3573i | 1.00384 | − | 0.729336i | 0.0409352 | − | 0.999162i | \(-0.486966\pi\) |
0.962909 | + | 0.269826i | \(0.0869663\pi\) | |||||||
\(504\) | 62.1761 | + | 6.53498i | 2.76955 | + | 0.291091i | ||||
\(505\) | 6.71382 | − | 1.06336i | 0.298761 | − | 0.0473191i | ||||
\(506\) | −0.804119 | + | 3.78308i | −0.0357475 | + | 0.168179i | ||||
\(507\) | 12.0484 | + | 37.0798i | 0.535088 | + | 1.64677i | ||||
\(508\) | 8.27285 | + | 7.44891i | 0.367048 | + | 0.330492i | ||||
\(509\) | −6.78740 | − | 13.3210i | −0.300846 | − | 0.590444i | 0.690253 | − | 0.723568i | \(-0.257499\pi\) |
−0.991099 | + | 0.133124i | \(0.957499\pi\) | |||||||
\(510\) | 86.9986 | − | 38.7343i | 3.85236 | − | 1.71518i | ||||
\(511\) | −50.9389 | − | 56.5734i | −2.25341 | − | 2.50266i | ||||
\(512\) | 4.21671 | − | 2.14852i | 0.186354 | − | 0.0949520i | ||||
\(513\) | −1.21107 | + | 0.191814i | −0.0534700 | + | 0.00846882i | ||||
\(514\) | −6.59225 | + | 10.1512i | −0.290772 | + | 0.447749i | ||||
\(515\) | 1.05272 | + | 20.0871i | 0.0463883 | + | 0.885142i | ||||
\(516\) | 15.7629 | + | 7.01809i | 0.693922 | + | 0.308954i | ||||
\(517\) | 0.516208 | + | 1.58872i | 0.0227028 | + | 0.0698720i | ||||
\(518\) | 7.60394 | + | 48.0094i | 0.334098 | + | 2.10941i | ||||
\(519\) | 3.85265 | + | 2.79911i | 0.169113 | + | 0.122867i | ||||
\(520\) | −18.1371 | − | 11.7782i | −0.795364 | − | 0.516509i | ||||
\(521\) | −1.54559 | − | 2.67704i | −0.0677134 | − | 0.117283i | 0.830181 | − | 0.557494i | \(-0.188237\pi\) |
−0.897894 | + | 0.440211i | \(0.854904\pi\) | |||||||
\(522\) | 4.62163 | − | 4.62163i | 0.202283 | − | 0.202283i | ||||
\(523\) | −5.69825 | + | 12.7985i | −0.249167 | + | 0.559638i | −0.994219 | − | 0.107368i | \(-0.965758\pi\) |
0.745052 | + | 0.667006i | \(0.232424\pi\) | |||||||
\(524\) | −7.44842 | − | 2.42014i | −0.325386 | − | 0.105724i | ||||
\(525\) | 29.1267 | + | 14.8408i | 1.27119 | + | 0.647705i | ||||
\(526\) | 3.07750 | + | 11.4854i | 0.134185 | + | 0.500787i | ||||
\(527\) | 29.5810 | + | 27.3289i | 1.28857 | + | 1.19047i | ||||
\(528\) | −9.82297 | + | 9.82297i | −0.427490 | + | 0.427490i | ||||
\(529\) | 16.3669 | + | 3.47889i | 0.711604 | + | 0.151256i | ||||
\(530\) | 17.2957 | + | 19.2089i | 0.751279 | + | 0.834380i | ||||
\(531\) | 8.71713 | − | 3.34619i | 0.378291 | − | 0.145212i | ||||
\(532\) | 0.352440 | + | 0.203482i | 0.0152802 | + | 0.00882204i | ||||
\(533\) | 35.0802 | − | 3.68727i | 1.51949 | − | 0.159713i | ||||
\(534\) | 4.56794 | + | 2.03378i | 0.197674 | + | 0.0880101i | ||||
\(535\) | −22.3755 | + | 18.1193i | −0.967379 | + | 0.783368i | ||||
\(536\) | −9.51391 | − | 6.91226i | −0.410938 | − | 0.298564i | ||||
\(537\) | −7.93984 | − | 7.14907i | −0.342630 | − | 0.308505i | ||||
\(538\) | 9.47115 | + | 7.66959i | 0.408330 | + | 0.330659i | ||||
\(539\) | −12.8278 | − | 6.53607i | −0.552531 | − | 0.281528i | ||||
\(540\) | 12.9115 | + | 8.38485i | 0.555624 | + | 0.360827i | ||||
\(541\) | 0.969340 | + | 1.19704i | 0.0416752 | + | 0.0514646i | 0.797557 | − | 0.603243i | \(-0.206125\pi\) |
−0.755882 | + | 0.654708i | \(0.772792\pi\) | |||||||
\(542\) | 10.5302 | − | 9.48142i | 0.452310 | − | 0.407262i | ||||
\(543\) | −8.82332 | − | 41.5104i | −0.378645 | − | 1.78138i | ||||
\(544\) | 23.3783 | + | 8.97407i | 1.00233 | + | 0.384760i | ||||
\(545\) | −2.61015 | + | 2.35019i | −0.111806 | + | 0.100671i | ||||
\(546\) | 29.5799 | − | 77.0596i | 1.26590 | − | 3.29785i | ||||
\(547\) | −3.52173 | − | 33.5070i | −0.150578 | − | 1.43266i | −0.765179 | − | 0.643818i | \(-0.777349\pi\) |
0.614600 | − | 0.788839i | \(-0.289317\pi\) | |||||||
\(548\) | −2.48252 | − | 1.26491i | −0.106048 | − | 0.0540343i | ||||
\(549\) | 31.5535 | − | 43.4297i | 1.34667 | − | 1.85353i | ||||
\(550\) | −3.27053 | + | 1.45613i | −0.139456 | + | 0.0620897i | ||||
\(551\) | −0.0856359 | + | 0.0328725i | −0.00364821 | + | 0.00140042i | ||||
\(552\) | −11.7719 | − | 11.7719i | −0.501045 | − | 0.501045i | ||||
\(553\) | 7.25988 | − | 27.0942i | 0.308721 | − | 1.15216i | ||||
\(554\) | −39.7138 | − | 6.29004i | −1.68728 | − | 0.267238i | ||||
\(555\) | 15.9640 | − | 49.1321i | 0.677634 | − | 2.08554i | ||||
\(556\) | −3.03176 | + | 3.36711i | −0.128575 | + | 0.142797i | ||||
\(557\) | 1.18383 | − | 4.41810i | 0.0501603 | − | 0.187201i | −0.936300 | − | 0.351201i | \(-0.885773\pi\) |
0.986460 | + | 0.164001i | \(0.0524399\pi\) | |||||||
\(558\) | −9.15778 | + | 53.3853i | −0.387680 | + | 2.25998i | ||||
\(559\) | −20.5998 | + | 25.4390i | −0.871280 | + | 1.07595i | ||||
\(560\) | 19.1314 | + | 58.8803i | 0.808447 | + | 2.48815i | ||||
\(561\) | 20.6223 | + | 1.08077i | 0.870673 | + | 0.0456300i | ||||
\(562\) | −5.82368 | − | 2.59287i | −0.245657 | − | 0.109374i | ||||
\(563\) | −31.5707 | + | 18.2274i | −1.33055 | + | 0.768191i | −0.985383 | − | 0.170351i | \(-0.945510\pi\) |
−0.345163 | + | 0.938543i | \(0.612176\pi\) | |||||||
\(564\) | 3.22149 | + | 0.863196i | 0.135649 | + | 0.0363471i | ||||
\(565\) | 8.84137 | + | 1.40034i | 0.371959 | + | 0.0589126i | ||||
\(566\) | −16.6236 | + | 43.3061i | −0.698744 | + | 1.82029i | ||||
\(567\) | 15.0875 | − | 39.3042i | 0.633614 | − | 1.65062i | ||||
\(568\) | −9.57823 | + | 10.6377i | −0.401893 | + | 0.446348i | ||||
\(569\) | 6.09609 | − | 4.42907i | 0.255561 | − | 0.185676i | −0.452627 | − | 0.891700i | \(-0.649513\pi\) |
0.708188 | + | 0.706024i | \(0.249513\pi\) | |||||||
\(570\) | −0.979020 | − | 1.50756i | −0.0410066 | − | 0.0631447i | ||||
\(571\) | 4.77433 | + | 5.30243i | 0.199799 | + | 0.221900i | 0.834716 | − | 0.550681i | \(-0.185632\pi\) |
−0.634916 | + | 0.772581i | \(0.718965\pi\) | |||||||
\(572\) | 1.08755 | + | 1.88367i | 0.0454729 | + | 0.0787603i | ||||
\(573\) | −38.9298 | − | 12.6491i | −1.62632 | − | 0.528422i | ||||
\(574\) | −62.6298 | − | 40.6723i | −2.61412 | − | 1.69763i | ||||
\(575\) | −2.35967 | − | 5.29991i | −0.0984050 | − | 0.221021i | ||||
\(576\) | −5.12649 | − | 24.1182i | −0.213604 | − | 1.00493i | ||||
\(577\) | −4.52652 | + | 0.237225i | −0.188441 | + | 0.00987580i | −0.146323 | − | 0.989237i | \(-0.546744\pi\) |
−0.0421182 | + | 0.999113i | \(0.513411\pi\) | |||||||
\(578\) | −20.5413 | − | 53.5119i | −0.854405 | − | 2.22580i | ||||
\(579\) | 9.04205 | − | 0.473874i | 0.375775 | − | 0.0196935i | ||||
\(580\) | 1.07521 | + | 0.412735i | 0.0446457 | + | 0.0171379i | ||||
\(581\) | 8.87243 | + | 19.9278i | 0.368091 | + | 0.826745i | ||||
\(582\) | 5.82906 | + | 55.4598i | 0.241622 | + | 2.29888i | ||||
\(583\) | 1.45069 | + | 5.41405i | 0.0600814 | + | 0.224227i | ||||
\(584\) | −17.9434 | + | 31.0790i | −0.742505 | + | 1.28606i | ||||
\(585\) | −43.4485 | + | 39.1216i | −1.79637 | + | 1.61748i | ||||
\(586\) | −18.7873 | + | 3.99337i | −0.776097 | + | 0.164964i | ||||
\(587\) | 0.392543 | + | 7.49017i | 0.0162020 | + | 0.309152i | 0.994695 | + | 0.102871i | \(0.0328029\pi\) |
−0.978493 | + | 0.206281i | \(0.933864\pi\) | |||||||
\(588\) | −24.8927 | + | 14.3718i | −1.02656 | + | 0.592683i | ||||
\(589\) | 0.422152 | − | 0.632181i | 0.0173945 | − | 0.0260486i | ||||
\(590\) | 4.83519 | + | 4.83519i | 0.199062 | + | 0.199062i | ||||
\(591\) | −14.3970 | − | 22.1695i | −0.592215 | − | 0.911931i | ||||
\(592\) | 27.6078 | − | 14.0669i | 1.13467 | − | 0.578144i | ||||
\(593\) | 4.01952 | − | 25.3782i | 0.165062 | − | 1.04216i | −0.756519 | − | 0.653972i | \(-0.773101\pi\) |
0.921581 | − | 0.388187i | \(-0.126899\pi\) | |||||||
\(594\) | 6.93717 | + | 12.0155i | 0.284635 | + | 0.493003i | ||||
\(595\) | 46.0159 | − | 79.7018i | 1.88647 | − | 3.26746i | ||||
\(596\) | −7.23364 | − | 5.85769i | −0.296301 | − | 0.239940i | ||||
\(597\) | −4.24979 | + | 5.84933i | −0.173932 | + | 0.239397i | ||||
\(598\) | −12.6862 | + | 7.32446i | −0.518777 | + | 0.299520i | ||||
\(599\) | −31.2472 | − | 6.64181i | −1.27673 | − | 0.271377i | −0.480833 | − | 0.876812i | \(-0.659666\pi\) |
−0.795895 | + | 0.605435i | \(0.792999\pi\) | |||||||
\(600\) | 2.41068 | − | 15.2204i | 0.0984156 | − | 0.621371i | ||||
\(601\) | −8.73674 | + | 41.1031i | −0.356379 | + | 1.67663i | 0.325794 | + | 0.945441i | \(0.394368\pi\) |
−0.682173 | + | 0.731191i | \(0.738965\pi\) | |||||||
\(602\) | 67.7861 | − | 14.4084i | 2.76276 | − | 0.587242i | ||||
\(603\) | −24.7077 | + | 20.0079i | −1.00618 | + | 0.814785i | ||||
\(604\) | 5.03270 | + | 0.263753i | 0.204778 | + | 0.0107320i | ||||
\(605\) | 27.2669 | + | 1.42900i | 1.10856 | + | 0.0580971i | ||||
\(606\) | 9.50493 | − | 7.69694i | 0.386111 | − | 0.312667i | ||||
\(607\) | −17.5115 | + | 3.72218i | −0.710768 | + | 0.151078i | −0.549088 | − | 0.835765i | \(-0.685025\pi\) |
−0.161680 | + | 0.986843i | \(0.551691\pi\) | |||||||
\(608\) | 0.0982743 | − | 0.462344i | 0.00398555 | − | 0.0187505i | ||||
\(609\) | 1.48259 | − | 9.36073i | 0.0600777 | − | 0.379316i | ||||
\(610\) | 38.4539 | + | 8.17362i | 1.55695 | + | 0.330940i | ||||
\(611\) | −3.16350 | + | 5.47942i | −0.127982 | + | 0.221674i | ||||
\(612\) | 16.1510 | − | 22.2299i | 0.652864 | − | 0.898590i | ||||
\(613\) | −14.1178 | − | 11.4323i | −0.570211 | − | 0.461748i | 0.300336 | − | 0.953834i | \(-0.402901\pi\) |
−0.870547 | + | 0.492086i | \(0.836235\pi\) | |||||||
\(614\) | −10.0943 | + | 17.4839i | −0.407374 | + | 0.705592i | ||||
\(615\) | 39.6837 | + | 68.7342i | 1.60020 | + | 2.77163i | ||||
\(616\) | −1.55310 | + | 9.80587i | −0.0625761 | + | 0.395090i | ||||
\(617\) | 20.5680 | − | 10.4799i | 0.828035 | − | 0.421905i | 0.0120146 | − | 0.999928i | \(-0.496176\pi\) |
0.816021 | + | 0.578023i | \(0.196176\pi\) | |||||||
\(618\) | 19.7114 | + | 30.3529i | 0.792908 | + | 1.22097i | ||||
\(619\) | 13.1856 | + | 13.1856i | 0.529973 | + | 0.529973i | 0.920564 | − | 0.390591i | \(-0.127729\pi\) |
−0.390591 | + | 0.920564i | \(0.627729\pi\) | |||||||
\(620\) | −9.25012 | + | 2.35201i | −0.371494 | + | 0.0944589i | ||||
\(621\) | −19.4712 | + | 11.2417i | −0.781353 | + | 0.451114i | ||||
\(622\) | −1.14264 | − | 21.8029i | −0.0458158 | − | 0.874218i | ||||
\(623\) | 4.72661 | − | 1.00467i | 0.189368 | − | 0.0402513i | ||||
\(624\) | −52.5439 | − | 2.75343i | −2.10344 | − | 0.110226i | ||||
\(625\) | −15.6083 | + | 27.0344i | −0.624333 | + | 1.08138i | ||||
\(626\) | −3.46732 | − | 12.9402i | −0.138582 | − | 0.517194i | ||||
\(627\) | −0.0407444 | − | 0.387657i | −0.00162717 | − | 0.0154815i | ||||
\(628\) | −4.14646 | − | 9.31310i | −0.165462 | − | 0.371633i | ||||
\(629\) | −43.0008 | − | 16.5065i | −1.71455 | − | 0.658156i | ||||
\(630\) | 123.609 | − | 6.47806i | 4.92469 | − | 0.258092i | ||||
\(631\) | −10.5996 | − | 27.6129i | −0.421964 | − | 1.09925i | −0.965623 | − | 0.259947i | \(-0.916295\pi\) |
0.543659 | − | 0.839306i | \(-0.317039\pi\) | |||||||
\(632\) | −13.2049 | + | 0.692038i | −0.525262 | + | 0.0275278i | ||||
\(633\) | −1.28551 | − | 6.04786i | −0.0510946 | − | 0.240381i | ||||
\(634\) | −7.29159 | − | 16.3772i | −0.289586 | − | 0.650421i | ||||
\(635\) | −39.8526 | − | 25.8806i | −1.58150 | − | 1.02704i | ||||
\(636\) | 10.6428 | + | 3.45805i | 0.422014 | + | 0.137121i | ||||
\(637\) | −14.1135 | − | 52.6712i | −0.559198 | − | 2.08691i | ||||
\(638\) | 0.694509 | + | 0.771331i | 0.0274959 | + | 0.0305373i | ||||
\(639\) | 21.0771 | + | 32.4559i | 0.833799 | + | 1.28394i | ||||
\(640\) | 29.7613 | − | 21.6229i | 1.17642 | − | 0.854719i | ||||
\(641\) | 19.5543 | − | 21.7172i | 0.772348 | − | 0.857780i | −0.220718 | − | 0.975338i | \(-0.570840\pi\) |
0.993066 | + | 0.117558i | \(0.0375066\pi\) | |||||||
\(642\) | −18.5651 | + | 48.3636i | −0.732704 | + | 1.90876i | ||||
\(643\) | −10.3084 | + | 26.8542i | −0.406523 | + | 1.05903i | 0.565626 | + | 0.824662i | \(0.308635\pi\) |
−0.972148 | + | 0.234366i | \(0.924699\pi\) | |||||||
\(644\) | 7.37035 | + | 1.16735i | 0.290433 | + | 0.0460000i | ||||
\(645\) | −71.1431 | − | 19.0627i | −2.80126 | − | 0.750595i | ||||
\(646\) | −1.38797 | + | 0.801343i | −0.0546088 | + | 0.0315284i | ||||
\(647\) | −16.5041 | − | 7.34812i | −0.648845 | − | 0.288884i | 0.0558027 | − | 0.998442i | \(-0.482228\pi\) |
−0.704648 | + | 0.709557i | \(0.748895\pi\) | |||||||
\(648\) | −19.8193 | − | 1.03869i | −0.778576 | − | 0.0408034i | ||||
\(649\) | 0.458206 | + | 1.41021i | 0.0179862 | + | 0.0553557i | ||||
\(650\) | −12.3874 | − | 5.51514i | −0.485873 | − | 0.216321i | ||||
\(651\) | 34.7579 | + | 70.4319i | 1.36227 | + | 2.76044i | ||||
\(652\) | 1.17861 | − | 4.39862i | 0.0461578 | − | 0.172263i | ||||
\(653\) | −3.17252 | + | 3.52344i | −0.124150 | + | 0.137883i | −0.802015 | − | 0.597304i | \(-0.796239\pi\) |
0.677865 | + | 0.735186i | \(0.262905\pi\) | |||||||
\(654\) | −1.95286 | + | 6.01027i | −0.0763627 | + | 0.235020i | ||||
\(655\) | 33.0188 | + | 5.22967i | 1.29015 | + | 0.204340i | ||||
\(656\) | −12.3205 | + | 45.9809i | −0.481037 | + | 1.79525i | ||||
\(657\) | 68.6040 | + | 68.6040i | 2.67650 | + | 2.67650i | ||||
\(658\) | 12.5054 | − | 4.80035i | 0.487509 | − | 0.187137i | ||||
\(659\) | −1.42259 | + | 0.633379i | −0.0554163 | + | 0.0246729i | −0.434258 | − | 0.900789i | \(-0.642989\pi\) |
0.378841 | + | 0.925462i | \(0.376323\pi\) | |||||||
\(660\) | −2.87667 | + | 3.95939i | −0.111974 | + | 0.154119i | ||||
\(661\) | −17.2064 | − | 8.76708i | −0.669250 | − | 0.341000i | 0.0861326 | − | 0.996284i | \(-0.472549\pi\) |
−0.755383 | + | 0.655284i | \(0.772549\pi\) | |||||||
\(662\) | 5.37932 | + | 51.1808i | 0.209073 | + | 1.98920i | ||||
\(663\) | 49.2229 | + | 60.7845i | 1.91166 | + | 2.36068i | ||||
\(664\) | 7.64187 | − | 6.88077i | 0.296562 | − | 0.267026i | ||||
\(665\) | −1.62177 | − | 0.622541i | −0.0628897 | − | 0.0241411i | ||||
\(666\) | −12.8799 | − | 60.5949i | −0.499084 | − | 2.34801i | ||||
\(667\) | −1.24995 | + | 1.12546i | −0.0483981 | + | 0.0435778i | ||||
\(668\) | −6.20195 | − | 7.65877i | −0.239961 | − | 0.296327i | ||||
\(669\) | 18.5361 | + | 12.0375i | 0.716646 | + | 0.465395i | ||||
\(670\) | −20.7452 | − | 10.5702i | −0.801457 | − | 0.408363i | ||||
\(671\) | 6.62504 | + | 5.36485i | 0.255757 | + | 0.207108i | ||||
\(672\) | 36.2928 | + | 32.6782i | 1.40002 | + | 1.26059i | ||||
\(673\) | −0.259475 | − | 0.188519i | −0.0100020 | − | 0.00726689i | 0.582773 | − | 0.812635i | \(-0.301968\pi\) |
−0.592775 | + | 0.805368i | \(0.701968\pi\) | |||||||
\(674\) | −34.6945 | + | 28.0951i | −1.33638 | + | 1.08218i | ||||
\(675\) | −19.0125 | − | 8.46490i | −0.731790 | − | 0.325814i | ||||
\(676\) | −2.54569 | + | 7.83510i | −0.0979110 | + | 0.301350i | ||||
\(677\) | 7.62677 | + | 4.40332i | 0.293121 | + | 0.169233i | 0.639348 | − | 0.768917i | \(-0.279204\pi\) |
−0.346228 | + | 0.938151i | \(0.612538\pi\) | |||||||
\(678\) | 15.0365 | − | 5.77199i | 0.577475 | − | 0.221672i | ||||
\(679\) | 36.0604 | + | 40.0491i | 1.38387 | + | 1.53694i | ||||
\(680\) | −42.4364 | − | 9.02014i | −1.62736 | − | 0.345907i | ||||
\(681\) | 0.337358 | − | 0.337358i | 0.0129276 | − | 0.0129276i | ||||
\(682\) | −8.38999 | − | 1.89597i | −0.321269 | − | 0.0726005i | ||||
\(683\) | −11.3540 | − | 42.3738i | −0.434450 | − | 1.62139i | −0.742379 | − | 0.669980i | \(-0.766303\pi\) |
0.307929 | − | 0.951409i | \(-0.400364\pi\) | |||||||
\(684\) | −0.462127 | − | 0.235465i | −0.0176699 | − | 0.00900325i | ||||
\(685\) | 11.3110 | + | 3.67518i | 0.432173 | + | 0.140421i | ||||
\(686\) | −25.2221 | + | 56.6498i | −0.962985 | + | 2.16290i | ||||
\(687\) | 48.6152 | − | 48.6152i | 1.85478 | − | 1.85478i | ||||
\(688\) | −22.0877 | − | 38.2570i | −0.842086 | − | 1.45854i | ||||
\(689\) | −11.5623 | + | 17.8046i | −0.440488 | + | 0.678300i | ||||
\(690\) | −26.6658 | − | 19.3738i | −1.01515 | − | 0.737548i | ||||
\(691\) | 5.77587 | + | 36.4674i | 0.219724 | + | 1.38729i | 0.812989 | + | 0.582278i | \(0.197839\pi\) |
−0.593265 | + | 0.805007i | \(0.702161\pi\) | |||||||
\(692\) | 0.310949 | + | 0.957001i | 0.0118205 | + | 0.0363797i | ||||
\(693\) | 24.5203 | + | 10.9171i | 0.931448 | + | 0.414707i | ||||
\(694\) | −1.30528 | − | 24.9062i | −0.0495478 | − | 0.945427i | ||||
\(695\) | 10.5336 | − | 16.2203i | 0.399562 | − | 0.615272i | ||||
\(696\) | −4.41272 | + | 0.698906i | −0.167264 | + | 0.0264920i | ||||
\(697\) | 63.0506 | − | 32.1259i | 2.38821 | − | 1.21685i | ||||
\(698\) | 24.9797 | + | 27.7427i | 0.945495 | + | 1.05008i | ||||
\(699\) | −37.2005 | + | 16.5627i | −1.40705 | + | 0.626460i | ||||
\(700\) | 3.13589 | + | 6.15454i | 0.118526 | + | 0.232620i | ||||
\(701\) | −28.1512 | − | 25.3474i | −1.06325 | − | 0.957359i | −0.0640785 | − | 0.997945i | \(-0.520411\pi\) |
−0.999176 | + | 0.0405862i | \(0.987077\pi\) | |||||||
\(702\) | −16.2386 | + | 49.9781i | −0.612885 | + | 1.88630i | ||||
\(703\) | −0.180761 | + | 0.850413i | −0.00681753 | + | 0.0320739i | ||||
\(704\) | 3.86739 | − | 0.612534i | 0.145758 | − | 0.0230858i | ||||
\(705\) | −14.1583 | − | 1.48810i | −0.533232 | − | 0.0560450i | ||||
\(706\) | −48.7892 | + | 35.4474i | −1.83621 | + | 1.33408i | ||||
\(707\) | 3.05913 | − | 11.4168i | 0.115050 | − | 0.429374i | ||||
\(708\) | 2.85952 | + | 0.766206i | 0.107467 | + | 0.0287958i | ||||
\(709\) | 17.5162 | − | 21.6307i | 0.657835 | − | 0.812359i | −0.333634 | − | 0.942703i | \(-0.608275\pi\) |
0.991469 | + | 0.130344i | \(0.0416082\pi\) | |||||||
\(710\) | −15.4354 | + | 23.7685i | −0.579281 | + | 0.892014i | ||||
\(711\) | −7.43254 | + | 34.9674i | −0.278742 | + | 1.31138i | ||||
\(712\) | −1.13897 | − | 1.97275i | −0.0426847 | − | 0.0739321i | ||||
\(713\) | 3.07243 | − | 13.5960i | 0.115063 | − | 0.509175i | ||||
\(714\) | − | 165.590i | − | 6.19705i | ||||||
\(715\) | −5.84298 | − | 7.21540i | −0.218515 | − | 0.269841i | ||||
\(716\) | −0.469377 | − | 2.20824i | −0.0175414 | − | 0.0825260i | ||||
\(717\) | 19.1053 | + | 49.7710i | 0.713501 | + | 1.85873i | ||||
\(718\) | 35.9873 | 1.34303 | ||||||||
\(719\) | 14.4768 | 0.539895 | 0.269947 | − | 0.962875i | \(-0.412994\pi\) | ||||
0.269947 | + | 0.962875i | \(0.412994\pi\) | |||||||
\(720\) | −28.2760 | − | 73.6615i | −1.05378 | − | 2.74520i | ||||
\(721\) | 32.6525 | + | 12.5341i | 1.21604 | + | 0.466795i | ||||
\(722\) | −19.3858 | − | 23.9395i | −0.721464 | − | 0.890934i | ||||
\(723\) | 2.49506 | − | 1.62031i | 0.0927924 | − | 0.0602601i | ||||
\(724\) | 3.64729 | − | 8.19195i | 0.135551 | − | 0.304452i | ||||
\(725\) | −1.52289 | − | 0.323700i | −0.0565586 | − | 0.0120219i | ||||
\(726\) | 43.7733 | − | 22.3036i | 1.62458 | − | 0.827764i | ||||
\(727\) | −27.5219 | − | 2.89266i | −1.02073 | − | 0.107283i | −0.420650 | − | 0.907223i | \(-0.638198\pi\) |
−0.600080 | + | 0.799940i | \(0.704865\pi\) | |||||||
\(728\) | −31.5367 | + | 20.4804i | −1.16883 | + | 0.759055i | ||||
\(729\) | 8.38906 | − | 25.8189i | 0.310706 | − | 0.956254i | ||||
\(730\) | −25.4625 | + | 66.3320i | −0.942408 | + | 2.45506i | ||||
\(731\) | −20.2926 | + | 62.4541i | −0.750548 | + | 2.30995i | ||||
\(732\) | 16.1869 | − | 5.25944i | 0.598284 | − | 0.194394i | ||||
\(733\) | 26.2471 | − | 32.4125i | 0.969459 | − | 1.19718i | −0.0108963 | − | 0.999941i | \(-0.503468\pi\) |
0.980355 | − | 0.197241i | \(-0.0631982\pi\) | |||||||
\(734\) | −0.213168 | − | 4.06749i | −0.00786817 | − | 0.150134i | ||||
\(735\) | 95.3514 | − | 77.2141i | 3.51709 | − | 2.84808i | ||||
\(736\) | −1.35584 | − | 8.56041i | −0.0499768 | − | 0.315541i | ||||
\(737\) | −2.96760 | − | 4.08455i | −0.109313 | − | 0.150456i | ||||
\(738\) | 82.4225 | + | 47.5867i | 3.03402 | + | 1.75169i | ||||
\(739\) | 9.12268 | + | 9.12268i | 0.335583 | + | 0.335583i | 0.854702 | − | 0.519119i | \(-0.173740\pi\) |
−0.519119 | + | 0.854702i | \(0.673740\pi\) | |||||||
\(740\) | 8.83123 | − | 6.41626i | 0.324642 | − | 0.235866i | ||||
\(741\) | 0.987874 | − | 1.09716i | 0.0362905 | − | 0.0403051i | ||||
\(742\) | 42.7451 | − | 13.8887i | 1.56922 | − | 0.509872i | ||||
\(743\) | −13.3666 | − | 3.58157i | −0.490373 | − | 0.131395i | 0.00515558 | − | 0.999987i | \(-0.498359\pi\) |
−0.495528 | + | 0.868592i | \(0.665026\pi\) | |||||||
\(744\) | 26.5138 | − | 25.8432i | 0.972044 | − | 0.947458i | ||||
\(745\) | 34.4087 | + | 19.8659i | 1.26064 | + | 0.727830i | ||||
\(746\) | 7.85598 | − | 15.4182i | 0.287628 | − | 0.564501i | ||||
\(747\) | −12.6212 | − | 24.7706i | −0.461787 | − | 0.906307i | ||||
\(748\) | 3.39109 | + | 2.74605i | 0.123990 | + | 0.100405i | ||||
\(749\) | 12.9574 | + | 48.3578i | 0.473454 | + | 1.76696i | ||||
\(750\) | 35.3195i | 1.28968i | ||||||||
\(751\) | 23.9783 | − | 2.52022i | 0.874979 | − | 0.0919640i | 0.343618 | − | 0.939109i | \(-0.388347\pi\) |
0.531361 | + | 0.847145i | \(0.321681\pi\) | |||||||
\(752\) | −5.37353 | − | 6.63576i | −0.195953 | − | 0.241981i | ||||
\(753\) | −14.2192 | − | 31.9368i | −0.518175 | − | 1.16384i | ||||
\(754\) | −0.410904 | + | 3.90969i | −0.0149642 | + | 0.142382i | ||||
\(755\) | −21.3941 | + | 2.24862i | −0.778613 | + | 0.0818355i | ||||
\(756\) | 22.4507 | − | 14.5797i | 0.816525 | − | 0.530257i | ||||
\(757\) | 3.35155 | + | 1.08899i | 0.121814 | + | 0.0395798i | 0.369290 | − | 0.929314i | \(-0.379601\pi\) |
−0.247476 | + | 0.968894i | \(0.579601\pi\) | |||||||
\(758\) | −13.5278 | + | 18.6194i | −0.491352 | + | 0.676289i | ||||
\(759\) | −3.24484 | − | 6.36835i | −0.117780 | − | 0.231157i | ||||
\(760\) | −0.0428584 | + | 0.817786i | −0.00155464 | + | 0.0296642i | ||||
\(761\) | 0.733942 | + | 4.63393i | 0.0266054 | + | 0.167980i | 0.997413 | − | 0.0718780i | \(-0.0228992\pi\) |
−0.970808 | + | 0.239858i | \(0.922899\pi\) | |||||||
\(762\) | −85.3819 | − | 4.47468i | −3.09306 | − | 0.162100i | ||||
\(763\) | 1.88723 | + | 5.80831i | 0.0683225 | + | 0.210275i | ||||
\(764\) | −5.08392 | − | 6.99742i | −0.183930 | − | 0.253158i | ||||
\(765\) | −53.2488 | + | 104.507i | −1.92522 | + | 3.77845i | ||||
\(766\) | 45.0097 | − | 20.0396i | 1.62627 | − | 0.724060i | ||||
\(767\) | −2.80805 | + | 4.86374i | −0.101393 | + | 0.175620i | ||||
\(768\) | 16.8868 | − | 37.9283i | 0.609349 | − | 1.36862i | ||||
\(769\) | 0.100826 | − | 0.0270162i | 0.00363588 | − | 0.000974230i | −0.257001 | − | 0.966411i | \(-0.582734\pi\) |
0.260637 | + | 0.965437i | \(0.416068\pi\) | |||||||
\(770\) | 19.6563i | 0.708364i | ||||||||
\(771\) | −2.33811 | − | 22.2456i | −0.0842049 | − | 0.801156i | ||||
\(772\) | 1.60457 | + | 1.04202i | 0.0577497 | + | 0.0375031i | ||||
\(773\) | 20.8612 | − | 13.5474i | 0.750325 | − | 0.487267i | −0.111946 | − | 0.993714i | \(-0.535708\pi\) |
0.862271 | + | 0.506448i | \(0.169042\pi\) | |||||||
\(774\) | −85.3111 | + | 22.8590i | −3.06645 | + | 0.821652i | ||||
\(775\) | 11.8532 | − | 5.09651i | 0.425781 | − | 0.183072i | ||||
\(776\) | 12.7024 | − | 22.0012i | 0.455990 | − | 0.789798i | ||||
\(777\) | −66.7551 | − | 60.1066i | −2.39483 | − | 2.15631i | ||||
\(778\) | −2.90536 | + | 55.4375i | −0.104162 | + | 1.98753i | ||||
\(779\) | −0.785105 | − | 1.08060i | −0.0281293 | − | 0.0387167i | ||||
\(780\) | −18.4351 | + | 1.93770i | −0.660082 | + | 0.0693809i | ||||
\(781\) | −5.32219 | + | 3.07277i | −0.190443 | + | 0.109952i | ||||
\(782\) | −18.4941 | + | 22.8383i | −0.661348 | + | 0.816697i | ||||
\(783\) | −0.630700 | + | 6.00071i | −0.0225394 | + | 0.214448i | ||||
\(784\) | 73.1864 | + | 7.69220i | 2.61380 | + | 0.274721i | ||||
\(785\) | 23.7004 | + | 36.4955i | 0.845905 | + | 1.30258i | ||||
\(786\) | 56.1552 | − | 21.5559i | 2.00299 | − | 0.768875i | ||||
\(787\) | −4.59553 | + | 9.01923i | −0.163813 | + | 0.321501i | −0.958292 | − | 0.285790i | \(-0.907744\pi\) |
0.794479 | + | 0.607291i | \(0.207744\pi\) | |||||||
\(788\) | 0.292327 | − | 5.57793i | 0.0104137 | − | 0.198705i | ||||
\(789\) | −17.7772 | − | 12.9159i | −0.632886 | − | 0.459819i | ||||
\(790\) | −25.6077 | + | 5.44307i | −0.911079 | + | 0.193656i | ||||
\(791\) | 8.47736 | − | 13.0540i | 0.301420 | − | 0.464146i | ||||
\(792\) | 1.32259 | − | 12.5836i | 0.0469963 | − | 0.447140i | ||||
\(793\) | 1.69001 | + | 32.2441i | 0.0600141 | + | 1.14502i | ||||
\(794\) | −2.66063 | + | 2.95493i | −0.0944223 | + | 0.104867i | ||||
\(795\) | −47.1795 | − | 7.47249i | −1.67328 | − | 0.265022i | ||||
\(796\) | −1.45298 | + | 0.472102i | −0.0514995 | + | 0.0167332i | ||||
\(797\) | −3.59911 | + | 34.2433i | −0.127487 | + | 1.21296i | 0.724454 | + | 0.689323i | \(0.242092\pi\) |
−0.851942 | + | 0.523637i | \(0.824575\pi\) | |||||||
\(798\) | −3.08713 | + | 0.488953i | −0.109283 | + | 0.0173088i | ||||
\(799\) | −1.98561 | + | 12.5367i | −0.0702460 | + | 0.443516i | ||||
\(800\) | 5.67291 | − | 5.67291i | 0.200568 | − | 0.200568i | ||||
\(801\) | −5.94860 | + | 1.59392i | −0.210183 | + | 0.0563185i | ||||
\(802\) | −39.5502 | + | 4.15689i | −1.39656 | + | 0.146785i | ||||
\(803\) | −11.4497 | + | 10.3094i | −0.404052 | + | 0.363810i | ||||
\(804\) | −10.0661 | + | 0.527543i | −0.355005 | + | 0.0186050i | ||||
\(805\) | −31.8531 | −1.12267 | ||||||||
\(806\) | −15.9269 | − | 28.4204i | −0.561002 | − | 1.00107i | ||||
\(807\) | −22.5219 | −0.792808 | ||||||||
\(808\) | −5.56421 | + | 0.291608i | −0.195748 | + | 0.0102587i | ||||
\(809\) | −11.4436 | + | 10.3039i | −0.402335 | + | 0.362264i | −0.845316 | − | 0.534267i | \(-0.820588\pi\) |
0.442981 | + | 0.896531i | \(0.353921\pi\) | |||||||
\(810\) | −39.0781 | + | 4.10728i | −1.37307 | + | 0.144315i | ||||
\(811\) | −1.60638 | + | 0.430427i | −0.0564075 | + | 0.0151144i | −0.286912 | − | 0.957957i | \(-0.592629\pi\) |
0.230505 | + | 0.973071i | \(0.425962\pi\) | |||||||
\(812\) | 1.41605 | − | 1.41605i | 0.0496937 | − | 0.0496937i | ||||
\(813\) | −4.09637 | + | 25.8635i | −0.143666 | + | 0.907072i | ||||
\(814\) | 9.71647 | − | 1.53894i | 0.340562 | − | 0.0539398i | ||||
\(815\) | −2.03185 | + | 19.3317i | −0.0711725 | + | 0.677161i | ||||
\(816\) | −100.389 | + | 32.6182i | −3.51430 | + | 1.14187i | ||||
\(817\) | 1.22427 | + | 0.193905i | 0.0428316 | + | 0.00678386i | ||||
\(818\) | 13.8425 | − | 15.3736i | 0.483991 | − | 0.537527i | ||||
\(819\) | 31.4155 | + | 96.6854i | 1.09775 | + | 3.37846i | ||||
\(820\) | −1.75300 | + | 16.6787i | −0.0612173 | + | 0.582444i | ||||
\(821\) | 20.7121 | − | 31.8939i | 0.722858 | − | 1.11310i | −0.265961 | − | 0.963984i | \(-0.585689\pi\) |
0.988819 | − | 0.149121i | \(-0.0476442\pi\) | |||||||
\(822\) | 20.9313 | − | 4.44909i | 0.730064 | − | 0.155180i | ||||
\(823\) | 4.54500 | + | 3.30214i | 0.158429 | + | 0.115105i | 0.664175 | − | 0.747577i | \(-0.268783\pi\) |
−0.505746 | + | 0.862682i | \(0.668783\pi\) | |||||||
\(824\) | 0.862902 | − | 16.4651i | 0.0300606 | − | 0.573590i | ||||
\(825\) | 3.00358 | − | 5.89486i | 0.104571 | − | 0.205233i | ||||
\(826\) | 11.1002 | − | 4.26098i | 0.386227 | − | 0.148259i | ||||
\(827\) | −2.59279 | − | 3.99255i | −0.0901603 | − | 0.138835i | 0.790713 | − | 0.612188i | \(-0.209710\pi\) |
−0.880873 | + | 0.473353i | \(0.843044\pi\) | |||||||
\(828\) | −9.45819 | − | 0.994096i | −0.328695 | − | 0.0345472i | ||||
\(829\) | 1.80261 | − | 17.1507i | 0.0626071 | − | 0.595667i | −0.917574 | − | 0.397565i | \(-0.869855\pi\) |
0.980181 | − | 0.198102i | \(-0.0634779\pi\) | |||||||
\(830\) | 12.8125 | − | 15.8221i | 0.444728 | − | 0.549193i | ||||
\(831\) | 64.3512 | − | 37.1532i | 2.23232 | − | 1.28883i | ||||
\(832\) | 11.5256 | + | 9.33313i | 0.399578 | + | 0.323568i | ||||
\(833\) | −64.2997 | − | 88.5009i | −2.22785 | − | 3.06638i | ||||
\(834\) | 1.82123 | − | 34.7511i | 0.0630640 | − | 1.20333i | ||||
\(835\) | 31.2618 | + | 28.1482i | 1.08186 | + | 0.974109i | ||||
\(836\) | 0.0411820 | − | 0.0713293i | 0.00142431 | − | 0.00246697i | ||||
\(837\) | −24.4449 | − | 43.6206i | −0.844939 | − | 1.50775i | ||||
\(838\) | −27.0104 | + | 7.23743i | −0.933060 | + | 0.250013i | ||||
\(839\) | −37.2437 | + | 24.1863i | −1.28579 | + | 0.835005i | −0.992645 | − | 0.121062i | \(-0.961370\pi\) |
−0.293150 | + | 0.956067i | \(0.594703\pi\) | |||||||
\(840\) | −70.9598 | − | 46.0818i | −2.44835 | − | 1.58997i | ||||
\(841\) | −2.98414 | − | 28.3922i | −0.102901 | − | 0.979042i | ||||
\(842\) | 34.2183i | 1.17924i | ||||||||
\(843\) | 11.3793 | − | 3.04908i | 0.391924 | − | 0.105016i | ||||
\(844\) | 0.531392 | − | 1.19353i | 0.0182913 | − | 0.0410829i | ||||
\(845\) | 5.50077 | − | 34.7329i | 0.189232 | − | 1.19485i | ||||
\(846\) | −15.5955 | + | 6.94357i | −0.536185 | + | 0.238725i | ||||
\(847\) | 21.5541 | − | 42.3024i | 0.740609 | − | 1.45353i | ||||
\(848\) | −16.8400 | − | 23.1783i | −0.578289 | − | 0.795947i | ||||
\(849\) | −26.4901 | − | 81.5283i | −0.909139 | − | 2.79804i | ||||
\(850\) | −27.1652 | − | 1.42367i | −0.931758 | − | 0.0488314i | ||||
\(851\) | 2.49386 | + | 15.7456i | 0.0854883 | + | 0.539752i | ||||
\(852\) | −0.642142 | + | 12.2528i | −0.0219994 | + | 0.419774i | ||||
\(853\) | −21.4487 | − | 42.0955i | −0.734391 | − | 1.44132i | −0.891161 | − | 0.453688i | \(-0.850108\pi\) |
0.156770 | − | 0.987635i | \(-0.449892\pi\) | |||||||
\(854\) | 40.1797 | − | 55.3026i | 1.37492 | − | 1.89242i | ||||
\(855\) | 2.10557 | + | 0.684142i | 0.0720091 | + | 0.0233972i | ||||
\(856\) | 19.7930 | − | 12.8537i | 0.676510 | − | 0.439331i | ||||
\(857\) | 18.7187 | − | 1.96742i | 0.639419 | − | 0.0672057i | 0.220730 | − | 0.975335i | \(-0.429156\pi\) |
0.418690 | + | 0.908129i | \(0.362490\pi\) | |||||||
\(858\) | −15.5958 | − | 5.98659i | −0.532433 | − | 0.204379i | ||||
\(859\) | 11.1990 | + | 25.1535i | 0.382106 | + | 0.858225i | 0.997544 | + | 0.0700397i | \(0.0223126\pi\) |
−0.615438 | + | 0.788186i | \(0.711021\pi\) | |||||||
\(860\) | −9.79412 | − | 12.0947i | −0.333977 | − | 0.412427i | ||||
\(861\) | 137.249 | − | 14.4254i | 4.67743 | − | 0.491618i | ||||
\(862\) | − | 44.5185i | − | 1.51631i | ||||||
\(863\) | 14.9216 | + | 55.6881i | 0.507937 | + | 1.89565i | 0.440098 | + | 0.897950i | \(0.354944\pi\) |
0.0678383 | + | 0.997696i | \(0.478390\pi\) | |||||||
\(864\) | −24.1628 | − | 19.5667i | −0.822036 | − | 0.665672i | ||||
\(865\) | −1.95001 | − | 3.82711i | −0.0663023 | − | 0.130126i | ||||
\(866\) | 18.0996 | − | 35.5225i | 0.615050 | − | 1.20710i | ||||
\(867\) | 91.7348 | + | 52.9631i | 3.11548 | + | 1.79872i | ||||
\(868\) | −2.80591 | + | 16.3571i | −0.0952388 | + | 0.555195i | ||||
\(869\) | −5.48352 | − | 1.46930i | −0.186016 | − | 0.0498427i | ||||
\(870\) | −8.41256 | + | 2.73341i | −0.285213 | + | 0.0926712i | ||||
\(871\) | 3.97572 | − | 18.7048i | 0.134712 | − | 0.633787i | ||||
\(872\) | 2.32915 | − | 1.69223i | 0.0788751 | − | 0.0573061i | ||||
\(873\) | −48.5657 | − | 48.5657i | −1.64370 | − | 1.64370i | ||||
\(874\) | 0.480389 | + | 0.277353i | 0.0162494 | + | 0.00938160i | ||||
\(875\) | 20.0627 | + | 27.6139i | 0.678241 | + | 0.933519i | ||||
\(876\) | 4.81199 | + | 30.3817i | 0.162582 | + | 1.02650i | ||||
\(877\) | 2.93895 | − | 2.37991i | 0.0992412 | − | 0.0803639i | −0.578416 | − | 0.815742i | \(-0.696329\pi\) |
0.677657 | + | 0.735378i | \(0.262995\pi\) | |||||||
\(878\) | −1.78085 | − | 33.9806i | −0.0601008 | − | 1.14679i | ||||
\(879\) | 22.3376 | − | 27.5847i | 0.753429 | − | 0.930407i | ||||
\(880\) | 11.9166 | − | 3.87193i | 0.401708 | − | 0.130523i | ||||
\(881\) | −13.5798 | + | 41.7944i | −0.457516 | + | 1.40809i | 0.410641 | + | 0.911797i | \(0.365305\pi\) |
−0.868156 | + | 0.496291i | \(0.834695\pi\) | |||||||
\(882\) | 52.7262 | − | 137.356i | 1.77538 | − | 4.62503i | ||||
\(883\) | −16.3751 | + | 50.3973i | −0.551065 | + | 1.69600i | 0.155051 | + | 0.987906i | \(0.450446\pi\) |
−0.706116 | + | 0.708096i | \(0.749554\pi\) | |||||||
\(884\) | 0.865049 | + | 16.5044i | 0.0290947 | + | 0.555105i | ||||
\(885\) | −12.5675 | − | 1.32089i | −0.422451 | − | 0.0444013i | ||||
\(886\) | 15.8795 | − | 8.09100i | 0.533481 | − | 0.271822i | ||||
\(887\) | −19.5206 | − | 4.14922i | −0.655437 | − | 0.139317i | −0.131823 | − | 0.991273i | \(-0.542083\pi\) |
−0.523614 | + | 0.851956i | \(0.675416\pi\) | |||||||
\(888\) | −17.2235 | + | 38.6846i | −0.577983 | + | 1.29817i | ||||
\(889\) | −69.2961 | + | 45.0014i | −2.32412 | + | 1.50930i | ||||
\(890\) | −2.83824 | − | 3.50494i | −0.0951381 | − | 0.117486i | ||||
\(891\) | −7.95465 | − | 3.05350i | −0.266491 | − | 0.102296i | ||||
\(892\) | 1.67363 | + | 4.35996i | 0.0560373 | + | 0.145982i | ||||
\(893\) | 0.239587 | 0.00801747 | ||||||||
\(894\) | 71.4882 | 2.39092 | ||||||||
\(895\) | 3.45347 | + | 8.99660i | 0.115437 | + | 0.300723i | ||||
\(896\) | −13.2992 | − | 62.5678i | −0.444295 | − | 2.09024i | ||||
\(897\) | 9.70130 | − | 25.2731i | 0.323917 | − | 0.843846i | ||||
\(898\) | − | 54.2071i | − | 1.80891i | ||||||
\(899\) | −2.46721 | − | 2.81171i | −0.0822859 | − | 0.0937757i | ||||
\(900\) | −4.40159 | − | 7.62378i | −0.146720 | − | 0.254126i | ||||
\(901\) | −8.85478 | + | 41.6584i | −0.294995 | + | 1.38784i | ||||
\(902\) | −8.23154 | + | 12.6755i | −0.274080 | + | 0.422046i | ||||
\(903\) | −80.5959 | + | 99.5277i | −2.68206 | + | 3.31207i | ||||
\(904\) | −7.08749 | − | 1.89909i | −0.235726 | − | 0.0631627i | ||||
\(905\) | −9.90689 | + | 36.9730i | −0.329316 | + | 1.22902i | ||||
\(906\) | −31.3137 | + | 22.7507i | −1.04033 | + | 0.755843i | ||||
\(907\) | −38.5460 | − | 4.05134i | −1.27990 | − | 0.134523i | −0.559936 | − | 0.828536i | \(-0.689174\pi\) |
−0.719962 | + | 0.694014i | \(0.755841\pi\) | |||||||
\(908\) | 0.0995704 | − | 0.0157704i | 0.00330436 | − | 0.000523359i | ||||
\(909\) | −3.13189 | + | 14.7344i | −0.103878 | + | 0.488708i | ||||
\(910\) | −55.3265 | + | 49.8168i | −1.83406 | + | 1.65141i | ||||
\(911\) | 23.8518 | + | 21.4762i | 0.790245 | + | 0.711540i | 0.961835 | − | 0.273629i | \(-0.0882240\pi\) |
−0.171591 | + | 0.985168i | \(0.554891\pi\) | |||||||
\(912\) | 0.904536 | + | 1.77525i | 0.0299522 | + | 0.0587844i | ||||
\(913\) | 4.03313 | − | 1.79566i | 0.133477 | − | 0.0594278i | ||||
\(914\) | −13.2989 | − | 14.7699i | −0.439889 | − | 0.488546i | ||||
\(915\) | −64.7324 | + | 32.9828i | −2.13999 | + | 1.09038i | ||||
\(916\) | 14.3487 | − | 2.27260i | 0.474093 | − | 0.0750889i | ||||
\(917\) | 31.6594 | − | 48.7512i | 1.04548 | − | 1.60991i | ||||
\(918\) | 5.51738 | + | 105.278i | 0.182101 | + | 3.47469i | ||||
\(919\) | 28.9475 | + | 12.8882i | 0.954889 | + | 0.425144i | 0.824212 | − | 0.566281i | \(-0.191618\pi\) |
0.130677 | + | 0.991425i | \(0.458285\pi\) | |||||||
\(920\) | 4.64014 | + | 14.2809i | 0.152981 | + | 0.470827i | ||||
\(921\) | −5.83639 | − | 36.8495i | −0.192316 | − | 1.21423i | ||||
\(922\) | −26.3110 | − | 19.1161i | −0.866508 | − | 0.629555i | ||||
\(923\) | −22.1374 | − | 7.19276i | −0.728662 | − | 0.236752i | ||||
\(924\) | 4.25493 | + | 7.36976i | 0.139977 | + | 0.242447i | ||||
\(925\) | −10.4345 | + | 10.4345i | −0.343083 | + | 0.343083i | ||||
\(926\) | 9.93981 | − | 22.3252i | 0.326642 | − | 0.733651i | ||||
\(927\) | −42.3932 | − | 13.7744i | −1.39237 | − | 0.452410i | ||||
\(928\) | −2.07244 | − | 1.05596i | −0.0680310 | − | 0.0346635i | ||||
\(929\) | −2.32638 | − | 8.68216i | −0.0763259 | − | 0.284852i | 0.917205 | − | 0.398416i | \(-0.130440\pi\) |
−0.993531 | + | 0.113564i | \(0.963773\pi\) | |||||||
\(930\) | 43.8434 | − | 58.7480i | 1.43768 | − | 1.92642i | ||||
\(931\) | −1.46008 | + | 1.46008i | −0.0478521 | + | 0.0478521i | ||||
\(932\) | −8.41642 | − | 1.78896i | −0.275689 | − | 0.0585995i | ||||
\(933\) | 26.9977 | + | 29.9839i | 0.883864 | + | 0.981630i | ||||
\(934\) | 21.6318 | − | 8.30367i | 0.707814 | − | 0.271704i | ||||
\(935\) | −16.1306 | − | 9.31301i | −0.527527 | − | 0.304568i | ||||
\(936\) | 38.7711 | − | 28.1692i | 1.26727 | − | 0.920738i | ||||
\(937\) | 24.0259 | + | 10.6970i | 0.784891 | + | 0.349456i | 0.759740 | − | 0.650227i | \(-0.225326\pi\) |
0.0251519 | + | 0.999684i | \(0.491993\pi\) | |||||||
\(938\) | −31.4624 | + | 25.4777i | −1.02728 | + | 0.831877i | ||||
\(939\) | 20.0290 | + | 14.5519i | 0.653622 | + | 0.474884i | ||||
\(940\) | −2.23550 | − | 2.01285i | −0.0729139 | − | 0.0656520i | ||||
\(941\) | −15.9917 | − | 12.9498i | −0.521314 | − | 0.422151i | 0.332210 | − | 0.943205i | \(-0.392206\pi\) |
−0.853524 | + | 0.521054i | \(0.825539\pi\) | |||||||
\(942\) | 69.7629 | + | 35.5460i | 2.27300 | + | 1.15815i | ||||
\(943\) | −20.5406 | − | 13.3392i | −0.668895 | − | 0.434386i | ||||
\(944\) | −4.76976 | − | 5.89016i | −0.155242 | − | 0.191708i | ||||
\(945\) | −84.9172 | + | 76.4598i | −2.76236 | + | 2.48724i | ||||
\(946\) | −2.91607 | − | 13.7190i | −0.0948095 | − | 0.446044i | ||||
\(947\) | −18.7509 | − | 7.19780i | −0.609322 | − | 0.233897i | 0.0340874 | − | 0.999419i | \(-0.489148\pi\) |
−0.643410 | + | 0.765522i | \(0.722481\pi\) | |||||||
\(948\) | −8.42287 | + | 7.58398i | −0.273562 | + | 0.246316i | ||||
\(949\) | −58.0358 | − | 6.09950i | −1.88392 | − | 0.197998i | ||||
\(950\) | 0.0536715 | + | 0.510650i | 0.00174133 | + | 0.0165677i | ||||
\(951\) | 29.5185 | + | 15.0404i | 0.957204 | + | 0.487720i | ||||
\(952\) | −44.3410 | + | 61.0301i | −1.43710 | + | 1.97800i | ||||
\(953\) | 46.8983 | − | 20.8805i | 1.51918 | − | 0.676384i | 0.533626 | − | 0.845721i | \(-0.320829\pi\) |
0.985558 | + | 0.169337i | \(0.0541625\pi\) | |||||||
\(954\) | −53.4758 | + | 20.5274i | −1.73134 | + | 0.664601i | ||||
\(955\) | 26.1065 | + | 26.1065i | 0.844787 | + | 0.844787i | ||||
\(956\) | −2.91558 | + | 10.8811i | −0.0942967 | + | 0.351920i | ||||
\(957\) | −1.89449 | − | 0.300057i | −0.0612401 | − | 0.00969948i | ||||
\(958\) | 10.2867 | − | 31.6591i | 0.332347 | − | 1.02286i | ||||
\(959\) | 13.8376 | − | 15.3682i | 0.446838 | − | 0.496264i | ||||
\(960\) | −8.63672 | + | 32.2327i | −0.278749 | + | 1.04031i | ||||
\(961\) | 30.1475 | + | 7.21980i | 0.972501 | + | 0.232897i | ||||
\(962\) | 28.9570 | + | 23.4487i | 0.933611 | + | 0.756015i | ||||
\(963\) | −19.7165 | − | 60.6813i | −0.635357 | − | 1.95543i | ||||
\(964\) | 0.627768 | + | 0.0328999i | 0.0202190 | + | 0.00105963i | ||||
\(965\) | −7.46072 | − | 3.32173i | −0.240169 | − | 0.106930i | ||||
\(966\) | −49.6340 | + | 28.6562i | −1.59695 | + | 0.921997i | ||||
\(967\) | −7.42976 | − | 1.99080i | −0.238925 | − | 0.0640198i | 0.137369 | − | 0.990520i | \(-0.456135\pi\) |
−0.376294 | + | 0.926500i | \(0.622802\pi\) | |||||||
\(968\) | −22.1055 | − | 3.50117i | −0.710498 | − | 0.112532i | ||||
\(969\) | 1.06141 | − | 2.76506i | 0.0340973 | − | 0.0888266i | ||||
\(970\) | 18.0252 | − | 46.9573i | 0.578755 | − | 1.50771i | ||||
\(971\) | 12.1182 | − | 13.4586i | 0.388892 | − | 0.431908i | −0.516629 | − | 0.856209i | \(-0.672814\pi\) |
0.905521 | + | 0.424301i | \(0.139480\pi\) | |||||||
\(972\) | 0.0504982 | − | 0.0366891i | 0.00161973 | − | 0.00117680i | ||||
\(973\) | −18.3159 | − | 28.2041i | −0.587182 | − | 0.904180i | ||||
\(974\) | 34.8211 | + | 38.6727i | 1.11574 | + | 1.23915i | ||||
\(975\) | 24.2045 | − | 6.48571i | 0.775164 | − | 0.207709i | ||||
\(976\) | −41.4418 | − | 13.4652i | −1.32652 | − | 0.431012i | ||||
\(977\) | 40.2448 | + | 26.1353i | 1.28754 | + | 0.836141i | 0.992840 | − | 0.119448i | \(-0.0381124\pi\) |
0.294704 | + | 0.955589i | \(0.404779\pi\) | |||||||
\(978\) | 14.2255 | + | 31.9509i | 0.454880 | + | 1.02168i | ||||
\(979\) | −0.203332 | − | 0.956604i | −0.00649853 | − | 0.0305732i | ||||
\(980\) | 25.8901 | − | 1.35684i | 0.827028 | − | 0.0433427i | ||||
\(981\) | −2.78932 | − | 7.26642i | −0.0890561 | − | 0.231999i | ||||
\(982\) | 25.5892 | − | 1.34107i | 0.816585 | − | 0.0427954i | ||||
\(983\) | 2.62001 | + | 1.00573i | 0.0835654 | + | 0.0320778i | 0.399792 | − | 0.916606i | \(-0.369083\pi\) |
−0.316226 | + | 0.948684i | \(0.602416\pi\) | |||||||
\(984\) | −26.4609 | − | 59.4322i | −0.843543 | − | 1.89463i | ||||
\(985\) | 2.49222 | + | 23.7119i | 0.0794088 | + | 0.755524i | ||||
\(986\) | 2.04119 | + | 7.61783i | 0.0650048 | + | 0.242601i | ||||
\(987\) | −12.3771 | + | 21.4378i | −0.393967 | + | 0.682372i | ||||
\(988\) | 0.305142 | − | 0.0648615i | 0.00970785 | − | 0.00206352i | ||||
\(989\) | 22.2317 | − | 4.72550i | 0.706928 | − | 0.150262i | ||||
\(990\) | −1.31107 | − | 25.0168i | −0.0416687 | − | 0.795086i | ||||
\(991\) | 1.61868 | − | 0.934547i | 0.0514192 | − | 0.0296869i | −0.474070 | − | 0.880487i | \(-0.657216\pi\) |
0.525489 | + | 0.850800i | \(0.323882\pi\) | |||||||
\(992\) | 19.0754 | − | 2.77130i | 0.605645 | − | 0.0879888i | ||||
\(993\) | −67.2485 | − | 67.2485i | −2.13407 | − | 2.13407i | ||||
\(994\) | 26.8393 | + | 41.3288i | 0.851289 | + | 1.31087i | ||||
\(995\) | 5.81055 | − | 2.96063i | 0.184207 | − | 0.0938581i | ||||
\(996\) | 1.37884 | − | 8.70568i | 0.0436904 | − | 0.275850i | ||||
\(997\) | −18.3597 | − | 31.8000i | −0.581458 | − | 1.00712i | −0.995307 | − | 0.0967694i | \(-0.969149\pi\) |
0.413849 | − | 0.910346i | \(-0.364184\pi\) | |||||||
\(998\) | −13.6235 | + | 23.5966i | −0.431245 | + | 0.746938i | ||||
\(999\) | 44.4439 | + | 35.9900i | 1.40614 | + | 1.13867i |
(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 | 403.2.cc.a.24.8 | ✓ | 560 | |
13.6 | odd | 12 | 403.2.ch.a.396.28 | yes | 560 | ||
31.22 | odd | 30 | 403.2.ch.a.115.28 | yes | 560 | ||
403.84 | even | 60 | inner | 403.2.cc.a.84.8 | yes | 560 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cc.a.24.8 | ✓ | 560 | 1.1 | even | 1 | trivial | |
403.2.cc.a.84.8 | yes | 560 | 403.84 | even | 60 | inner | |
403.2.ch.a.115.28 | yes | 560 | 31.22 | odd | 30 | ||
403.2.ch.a.396.28 | yes | 560 | 13.6 | odd | 12 |