Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.20 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.20 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.979881 | − | 1.01972i | 0.692881 | − | 0.721052i | ||||
\(3\) | −0.582309 | − | 0.582309i | −0.336196 | − | 0.336196i | 0.518737 | − | 0.854934i | \(-0.326402\pi\) |
−0.854934 | + | 0.518737i | \(0.826402\pi\) | |||||||
\(4\) | −0.0796647 | − | 1.99841i | −0.0398324 | − | 0.999206i | ||||
\(5\) | 1.46731 | + | 1.68731i | 0.656201 | + | 0.754586i | ||||
\(6\) | −1.16439 | + | 0.0231993i | −0.475359 | + | 0.00947109i | ||||
\(7\) | −0.972933 | + | 0.972933i | −0.367734 | + | 0.367734i | −0.866650 | − | 0.498916i | \(-0.833732\pi\) |
0.498916 | + | 0.866650i | \(0.333732\pi\) | |||||||
\(8\) | −2.11589 | − | 1.87697i | −0.748079 | − | 0.663610i | ||||
\(9\) | − | 2.32183i | − | 0.773944i | ||||||
\(10\) | 3.15837 | + | 0.157113i | 0.998765 | + | 0.0496834i | ||||
\(11\) | − | 4.73734i | − | 1.42836i | −0.699962 | − | 0.714180i | \(-0.746800\pi\) | ||
0.699962 | − | 0.714180i | \(-0.253200\pi\) | |||||||
\(12\) | −1.11730 | + | 1.21008i | −0.322538 | + | 0.349321i | ||||
\(13\) | 4.00469 | − | 4.00469i | 1.11070 | − | 1.11070i | 0.117645 | − | 0.993056i | \(-0.462466\pi\) |
0.993056 | − | 0.117645i | \(-0.0375345\pi\) | |||||||
\(14\) | 0.0387619 | + | 1.94548i | 0.0103596 | + | 0.519951i | ||||
\(15\) | 0.128106 | − | 1.83696i | 0.0330769 | − | 0.474301i | ||||
\(16\) | −3.98731 | + | 0.318406i | −0.996827 | + | 0.0796015i | ||||
\(17\) | 1.22667 | + | 1.22667i | 0.297512 | + | 0.297512i | 0.840039 | − | 0.542527i | \(-0.182532\pi\) |
−0.542527 | + | 0.840039i | \(0.682532\pi\) | |||||||
\(18\) | −2.36762 | − | 2.27512i | −0.558054 | − | 0.536251i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 3.25504 | − | 3.06671i | 0.727849 | − | 0.685737i | ||||
\(21\) | 1.13310 | 0.247262 | ||||||||
\(22\) | −4.83076 | − | 4.64203i | −1.02992 | − | 0.989683i | ||||
\(23\) | 1.83166 | + | 1.83166i | 0.381928 | + | 0.381928i | 0.871796 | − | 0.489869i | \(-0.162955\pi\) |
−0.489869 | + | 0.871796i | \(0.662955\pi\) | |||||||
\(24\) | 0.139122 | + | 2.32508i | 0.0283983 | + | 0.474605i | ||||
\(25\) | −0.694006 | + | 4.95160i | −0.138801 | + | 0.990320i | ||||
\(26\) | −0.159548 | − | 8.00779i | −0.0312899 | − | 1.57046i | ||||
\(27\) | −3.09895 | + | 3.09895i | −0.596393 | + | 0.596393i | ||||
\(28\) | 2.02183 | + | 1.86681i | 0.382090 | + | 0.352795i | ||||
\(29\) | 6.49625i | 1.20632i | 0.797619 | + | 0.603162i | \(0.206093\pi\) | ||||
−0.797619 | + | 0.603162i | \(0.793907\pi\) | |||||||
\(30\) | −1.74766 | − | 1.93064i | −0.319078 | − | 0.352485i | ||||
\(31\) | − | 1.38349i | − | 0.248483i | −0.992252 | − | 0.124241i | \(-0.960350\pi\) | ||
0.992252 | − | 0.124241i | \(-0.0396497\pi\) | |||||||
\(32\) | −3.58240 | + | 4.37794i | −0.633285 | + | 0.773918i | ||||
\(33\) | −2.75859 | + | 2.75859i | −0.480209 | + | 0.480209i | ||||
\(34\) | 2.45286 | − | 0.0488710i | 0.420662 | − | 0.00838130i | ||||
\(35\) | −3.06923 | − | 0.214042i | −0.518795 | − | 0.0361797i | ||||
\(36\) | −4.63998 | + | 0.184968i | −0.773330 | + | 0.0308280i | ||||
\(37\) | 3.47306 | + | 3.47306i | 0.570968 | + | 0.570968i | 0.932399 | − | 0.361431i | \(-0.117712\pi\) |
−0.361431 | + | 0.932399i | \(0.617712\pi\) | |||||||
\(38\) | −0.979881 | + | 1.01972i | −0.158958 | + | 0.165421i | ||||
\(39\) | −4.66393 | −0.746827 | ||||||||
\(40\) | 0.0623655 | − | 6.32425i | 0.00986085 | − | 0.999951i | ||||
\(41\) | −6.68423 | −1.04390 | −0.521951 | − | 0.852975i | \(-0.674796\pi\) | ||||
−0.521951 | + | 0.852975i | \(0.674796\pi\) | |||||||
\(42\) | 1.11030 | − | 1.15544i | 0.171323 | − | 0.178289i | ||||
\(43\) | 4.72604 | + | 4.72604i | 0.720714 | + | 0.720714i | 0.968751 | − | 0.248037i | \(-0.0797853\pi\) |
−0.248037 | + | 0.968751i | \(0.579785\pi\) | |||||||
\(44\) | −9.46715 | + | 0.377398i | −1.42723 | + | 0.0568950i | ||||
\(45\) | 3.91764 | − | 3.40685i | 0.584008 | − | 0.507863i | ||||
\(46\) | 3.66259 | − | 0.0729738i | 0.540020 | − | 0.0107594i | ||||
\(47\) | 6.12814 | − | 6.12814i | 0.893882 | − | 0.893882i | −0.101004 | − | 0.994886i | \(-0.532206\pi\) |
0.994886 | + | 0.101004i | \(0.0322056\pi\) | |||||||
\(48\) | 2.50726 | + | 2.13643i | 0.361891 | + | 0.308368i | ||||
\(49\) | 5.10680i | 0.729543i | ||||||||
\(50\) | 4.36921 | + | 5.55967i | 0.617900 | + | 0.786257i | ||||
\(51\) | − | 1.42861i | − | 0.200045i | ||||||
\(52\) | −8.32205 | − | 7.68399i | −1.15406 | − | 1.06558i | ||||
\(53\) | 3.65002 | − | 3.65002i | 0.501369 | − | 0.501369i | −0.410494 | − | 0.911863i | \(-0.634644\pi\) |
0.911863 | + | 0.410494i | \(0.134644\pi\) | |||||||
\(54\) | 0.123463 | + | 6.19667i | 0.0168012 | + | 0.843260i | ||||
\(55\) | 7.99334 | − | 6.95114i | 1.07782 | − | 0.937291i | ||||
\(56\) | 3.88478 | − | 0.232448i | 0.519126 | − | 0.0310622i | ||||
\(57\) | 0.582309 | + | 0.582309i | 0.0771287 | + | 0.0771287i | ||||
\(58\) | 6.62437 | + | 6.36555i | 0.869822 | + | 0.835838i | ||||
\(59\) | 0.289084 | 0.0376355 | 0.0188178 | − | 0.999823i | \(-0.494010\pi\) | ||||
0.0188178 | + | 0.999823i | \(0.494010\pi\) | |||||||
\(60\) | −3.68121 | − | 0.109668i | −0.475243 | − | 0.0141581i | ||||
\(61\) | −4.63716 | −0.593728 | −0.296864 | − | 0.954920i | \(-0.595941\pi\) | ||||
−0.296864 | + | 0.954920i | \(0.595941\pi\) | |||||||
\(62\) | −1.41078 | − | 1.35566i | −0.179169 | − | 0.172169i | ||||
\(63\) | 2.25899 | + | 2.25899i | 0.284606 | + | 0.284606i | ||||
\(64\) | 0.953954 | + | 7.94292i | 0.119244 | + | 0.992865i | ||||
\(65\) | 12.6333 | + | 0.881019i | 1.56696 | + | 0.109277i | ||||
\(66\) | 0.109903 | + | 5.51609i | 0.0135281 | + | 0.678984i | ||||
\(67\) | −3.20114 | + | 3.20114i | −0.391082 | + | 0.391082i | −0.875073 | − | 0.483991i | \(-0.839187\pi\) |
0.483991 | + | 0.875073i | \(0.339187\pi\) | |||||||
\(68\) | 2.35368 | − | 2.54912i | 0.285425 | − | 0.309126i | ||||
\(69\) | − | 2.13318i | − | 0.256805i | ||||||
\(70\) | −3.22574 | + | 2.92002i | −0.385550 | + | 0.349010i | ||||
\(71\) | 14.8252i | 1.75942i | 0.475507 | + | 0.879712i | \(0.342265\pi\) | ||||
−0.475507 | + | 0.879712i | \(0.657735\pi\) | |||||||
\(72\) | −4.35801 | + | 4.91273i | −0.513597 | + | 0.578971i | ||||
\(73\) | 6.01054 | − | 6.01054i | 0.703480 | − | 0.703480i | −0.261676 | − | 0.965156i | \(-0.584275\pi\) |
0.965156 | + | 0.261676i | \(0.0842751\pi\) | |||||||
\(74\) | 6.94475 | − | 0.138368i | 0.807311 | − | 0.0160849i | ||||
\(75\) | 3.28749 | − | 2.47924i | 0.379606 | − | 0.286278i | ||||
\(76\) | 0.0796647 | + | 1.99841i | 0.00913817 | + | 0.229234i | ||||
\(77\) | 4.60911 | + | 4.60911i | 0.525257 | + | 0.525257i | ||||
\(78\) | −4.57010 | + | 4.75591i | −0.517462 | + | 0.538501i | ||||
\(79\) | −5.24290 | −0.589873 | −0.294936 | − | 0.955517i | \(-0.595298\pi\) | ||||
−0.294936 | + | 0.955517i | \(0.595298\pi\) | |||||||
\(80\) | −6.38786 | − | 6.26061i | −0.714185 | − | 0.699957i | ||||
\(81\) | −3.35640 | −0.372933 | ||||||||
\(82\) | −6.54976 | + | 6.81606i | −0.723300 | + | 0.752708i | ||||
\(83\) | 4.42022 | + | 4.42022i | 0.485183 | + | 0.485183i | 0.906782 | − | 0.421600i | \(-0.138531\pi\) |
−0.421600 | + | 0.906782i | \(0.638531\pi\) | |||||||
\(84\) | −0.0902677 | − | 2.26439i | −0.00984902 | − | 0.247065i | ||||
\(85\) | −0.269864 | + | 3.86968i | −0.0292709 | + | 0.419726i | ||||
\(86\) | 9.45020 | − | 0.188287i | 1.01904 | − | 0.0203035i | ||||
\(87\) | 3.78283 | − | 3.78283i | 0.405561 | − | 0.405561i | ||||
\(88\) | −8.89184 | + | 10.0237i | −0.947874 | + | 1.06853i | ||||
\(89\) | − | 8.67923i | − | 0.919997i | −0.887920 | − | 0.459998i | \(-0.847850\pi\) | ||
0.887920 | − | 0.459998i | \(-0.152150\pi\) | |||||||
\(90\) | 0.364790 | − | 7.33321i | 0.0384522 | − | 0.772988i | ||||
\(91\) | 7.79259i | 0.816885i | ||||||||
\(92\) | 3.51449 | − | 3.80633i | 0.366411 | − | 0.396837i | ||||
\(93\) | −0.805621 | + | 0.805621i | −0.0835391 | + | 0.0835391i | ||||
\(94\) | −0.244147 | − | 12.2539i | −0.0251818 | − | 1.26389i | ||||
\(95\) | −1.46731 | − | 1.68731i | −0.150543 | − | 0.173114i | ||||
\(96\) | 4.63538 | − | 0.463251i | 0.473097 | − | 0.0472803i | ||||
\(97\) | −3.14322 | − | 3.14322i | −0.319145 | − | 0.319145i | 0.529294 | − | 0.848439i | \(-0.322457\pi\) |
−0.848439 | + | 0.529294i | \(0.822457\pi\) | |||||||
\(98\) | 5.20752 | + | 5.00406i | 0.526039 | + | 0.505487i | ||||
\(99\) | −10.9993 | −1.10547 | ||||||||
\(100\) | 9.95063 | + | 0.992442i | 0.995063 | + | 0.0992442i | ||||
\(101\) | −0.982880 | −0.0978003 | −0.0489001 | − | 0.998804i | \(-0.515572\pi\) | ||||
−0.0489001 | + | 0.998804i | \(0.515572\pi\) | |||||||
\(102\) | −1.45678 | − | 1.39986i | −0.144243 | − | 0.138607i | ||||
\(103\) | 5.20851 | + | 5.20851i | 0.513209 | + | 0.513209i | 0.915508 | − | 0.402299i | \(-0.131789\pi\) |
−0.402299 | + | 0.915508i | \(0.631789\pi\) | |||||||
\(104\) | −15.9902 | + | 0.956780i | −1.56796 | + | 0.0938200i | ||||
\(105\) | 1.66260 | + | 1.91188i | 0.162253 | + | 0.186580i | ||||
\(106\) | −0.145418 | − | 7.29860i | −0.0141242 | − | 0.708903i | ||||
\(107\) | −14.0386 | + | 14.0386i | −1.35716 | + | 1.35716i | −0.479767 | + | 0.877396i | \(0.659279\pi\) |
−0.877396 | + | 0.479767i | \(0.840721\pi\) | |||||||
\(108\) | 6.43986 | + | 5.94611i | 0.619676 | + | 0.572164i | ||||
\(109\) | − | 13.0839i | − | 1.25321i | −0.779337 | − | 0.626605i | \(-0.784444\pi\) | ||
0.779337 | − | 0.626605i | \(-0.215556\pi\) | |||||||
\(110\) | 0.744296 | − | 14.9623i | 0.0709659 | − | 1.42660i | ||||
\(111\) | − | 4.04479i | − | 0.383915i | ||||||
\(112\) | 3.56959 | − | 4.18917i | 0.337295 | − | 0.395839i | ||||
\(113\) | 0.590052 | − | 0.590052i | 0.0555074 | − | 0.0555074i | −0.678808 | − | 0.734316i | \(-0.737503\pi\) |
0.734316 | + | 0.678808i | \(0.237503\pi\) | |||||||
\(114\) | 1.16439 | − | 0.0231993i | 0.109055 | − | 0.00217282i | ||||
\(115\) | −0.402959 | + | 5.77818i | −0.0375762 | + | 0.538818i | ||||
\(116\) | 12.9822 | − | 0.517522i | 1.20537 | − | 0.0480507i | ||||
\(117\) | −9.29821 | − | 9.29821i | −0.859620 | − | 0.859620i | ||||
\(118\) | 0.283268 | − | 0.294785i | 0.0260769 | − | 0.0271372i | ||||
\(119\) | −2.38694 | −0.218810 | ||||||||
\(120\) | −3.71898 | + | 3.64635i | −0.339495 | + | 0.332865i | ||||
\(121\) | −11.4423 | −1.04021 | ||||||||
\(122\) | −4.54387 | + | 4.72861i | −0.411383 | + | 0.428109i | ||||
\(123\) | 3.89229 | + | 3.89229i | 0.350956 | + | 0.350956i | ||||
\(124\) | −2.76479 | + | 0.110216i | −0.248286 | + | 0.00989766i | ||||
\(125\) | −9.37319 | + | 6.09453i | −0.838364 | + | 0.545111i | ||||
\(126\) | 4.51708 | − | 0.0899986i | 0.402413 | − | 0.00801772i | ||||
\(127\) | 11.1270 | − | 11.1270i | 0.987362 | − | 0.987362i | −0.0125590 | − | 0.999921i | \(-0.503998\pi\) |
0.999921 | + | 0.0125590i | \(0.00399777\pi\) | |||||||
\(128\) | 9.03433 | + | 6.81035i | 0.798529 | + | 0.601956i | ||||
\(129\) | − | 5.50403i | − | 0.484603i | ||||||
\(130\) | 13.2775 | − | 12.0191i | 1.16451 | − | 1.05415i | ||||
\(131\) | − | 4.56983i | − | 0.399268i | −0.979871 | − | 0.199634i | \(-0.936025\pi\) | ||
0.979871 | − | 0.199634i | \(-0.0639753\pi\) | |||||||
\(132\) | 5.73257 | + | 5.29305i | 0.498956 | + | 0.460701i | ||||
\(133\) | 0.972933 | − | 0.972933i | 0.0843640 | − | 0.0843640i | ||||
\(134\) | 0.127534 | + | 6.40101i | 0.0110173 | + | 0.552963i | ||||
\(135\) | −9.77600 | − | 0.681760i | −0.841384 | − | 0.0586765i | ||||
\(136\) | −0.293071 | − | 4.89793i | −0.0251306 | − | 0.419994i | ||||
\(137\) | −7.74801 | − | 7.74801i | −0.661957 | − | 0.661957i | 0.293884 | − | 0.955841i | \(-0.405052\pi\) |
−0.955841 | + | 0.293884i | \(0.905052\pi\) | |||||||
\(138\) | −2.17525 | − | 2.09027i | −0.185170 | − | 0.177935i | ||||
\(139\) | 22.2237 | 1.88499 | 0.942493 | − | 0.334225i | \(-0.108475\pi\) | ||||
0.942493 | + | 0.334225i | \(0.108475\pi\) | |||||||
\(140\) | −0.183235 | + | 6.15064i | −0.0154862 | + | 0.519824i | ||||
\(141\) | −7.13695 | −0.601040 | ||||||||
\(142\) | 15.1175 | + | 14.5269i | 1.26864 | + | 1.21907i | ||||
\(143\) | −18.9715 | − | 18.9715i | −1.58648 | − | 1.58648i | ||||
\(144\) | 0.739285 | + | 9.25786i | 0.0616071 | + | 0.771488i | ||||
\(145\) | −10.9612 | + | 9.53201i | −0.910275 | + | 0.791590i | ||||
\(146\) | −0.239461 | − | 12.0187i | −0.0198180 | − | 0.994674i | ||||
\(147\) | 2.97374 | − | 2.97374i | 0.245270 | − | 0.245270i | ||||
\(148\) | 6.66393 | − | 7.21729i | 0.547772 | − | 0.593258i | ||||
\(149\) | 14.5547i | 1.19237i | 0.802848 | + | 0.596184i | \(0.203317\pi\) | ||||
−0.802848 | + | 0.596184i | \(0.796683\pi\) | |||||||
\(150\) | 0.693217 | − | 5.78168i | 0.0566010 | − | 0.472072i | ||||
\(151\) | − | 19.5609i | − | 1.59185i | −0.605397 | − | 0.795924i | \(-0.706986\pi\) | ||
0.605397 | − | 0.795924i | \(-0.293014\pi\) | |||||||
\(152\) | 2.11589 | + | 1.87697i | 0.171621 | + | 0.152243i | ||||
\(153\) | 2.84813 | − | 2.84813i | 0.230257 | − | 0.230257i | ||||
\(154\) | 9.21639 | − | 0.183628i | 0.742678 | − | 0.0147972i | ||||
\(155\) | 2.33438 | − | 2.03001i | 0.187502 | − | 0.163055i | ||||
\(156\) | 0.371551 | + | 9.32046i | 0.0297479 | + | 0.746234i | ||||
\(157\) | 14.4333 | + | 14.4333i | 1.15190 | + | 1.15190i | 0.986170 | + | 0.165734i | \(0.0529994\pi\) |
0.165734 | + | 0.986170i | \(0.447001\pi\) | |||||||
\(158\) | −5.13743 | + | 5.34630i | −0.408712 | + | 0.425329i | ||||
\(159\) | −4.25089 | −0.337117 | ||||||||
\(160\) | −12.6434 | + | 0.379187i | −0.999551 | + | 0.0299774i | ||||
\(161\) | −3.56416 | −0.280896 | ||||||||
\(162\) | −3.28887 | + | 3.42259i | −0.258398 | + | 0.268904i | ||||
\(163\) | 13.5096 | + | 13.5096i | 1.05816 | + | 1.05816i | 0.998201 | + | 0.0599555i | \(0.0190959\pi\) |
0.0599555 | + | 0.998201i | \(0.480904\pi\) | |||||||
\(164\) | 0.532498 | + | 13.3579i | 0.0415811 | + | 1.04307i | ||||
\(165\) | −8.70230 | − | 0.606882i | −0.677473 | − | 0.0472457i | ||||
\(166\) | 8.83869 | − | 0.176103i | 0.686016 | − | 0.0136682i | ||||
\(167\) | −11.5480 | + | 11.5480i | −0.893610 | + | 0.893610i | −0.994861 | − | 0.101251i | \(-0.967715\pi\) |
0.101251 | + | 0.994861i | \(0.467715\pi\) | |||||||
\(168\) | −2.39750 | − | 2.12679i | −0.184971 | − | 0.164085i | ||||
\(169\) | − | 19.0751i | − | 1.46731i | ||||||
\(170\) | 3.68156 | + | 4.06701i | 0.282363 | + | 0.311926i | ||||
\(171\) | 2.32183i | 0.177555i | ||||||||
\(172\) | 9.06808 | − | 9.82107i | 0.691434 | − | 0.748850i | ||||
\(173\) | −10.8497 | + | 10.8497i | −0.824885 | + | 0.824885i | −0.986804 | − | 0.161919i | \(-0.948232\pi\) |
0.161919 | + | 0.986804i | \(0.448232\pi\) | |||||||
\(174\) | −0.150709 | − | 7.56415i | −0.0114252 | − | 0.573437i | ||||
\(175\) | −4.14236 | − | 5.49280i | −0.313133 | − | 0.415216i | ||||
\(176\) | 1.50840 | + | 18.8892i | 0.113700 | + | 1.42383i | ||||
\(177\) | −0.168336 | − | 0.168336i | −0.0126529 | − | 0.0126529i | ||||
\(178\) | −8.85040 | − | 8.50462i | −0.663366 | − | 0.637448i | ||||
\(179\) | 4.60249 | 0.344006 | 0.172003 | − | 0.985096i | \(-0.444976\pi\) | ||||
0.172003 | + | 0.985096i | \(0.444976\pi\) | |||||||
\(180\) | −7.12038 | − | 7.55766i | −0.530722 | − | 0.563315i | ||||
\(181\) | −14.0226 | −1.04229 | −0.521147 | − | 0.853467i | \(-0.674496\pi\) | ||||
−0.521147 | + | 0.853467i | \(0.674496\pi\) | |||||||
\(182\) | 7.94627 | + | 7.63581i | 0.589017 | + | 0.566004i | ||||
\(183\) | 2.70026 | + | 2.70026i | 0.199609 | + | 0.199609i | ||||
\(184\) | −0.437611 | − | 7.31356i | −0.0322611 | − | 0.539163i | ||||
\(185\) | −0.764063 | + | 10.9562i | −0.0561750 | + | 0.805514i | ||||
\(186\) | 0.0320962 | + | 1.61092i | 0.00235341 | + | 0.118119i | ||||
\(187\) | 5.81116 | − | 5.81116i | 0.424954 | − | 0.424954i | ||||
\(188\) | −12.7348 | − | 11.7584i | −0.928778 | − | 0.857567i | ||||
\(189\) | − | 6.03014i | − | 0.438628i | ||||||
\(190\) | −3.15837 | − | 0.157113i | −0.229132 | − | 0.0113982i | ||||
\(191\) | 1.33503i | 0.0965990i | 0.998833 | + | 0.0482995i | \(0.0153802\pi\) | ||||
−0.998833 | + | 0.0482995i | \(0.984620\pi\) | |||||||
\(192\) | 4.06974 | − | 5.18073i | 0.293708 | − | 0.373887i | ||||
\(193\) | 10.3291 | − | 10.3291i | 0.743504 | − | 0.743504i | −0.229747 | − | 0.973250i | \(-0.573790\pi\) |
0.973250 | + | 0.229747i | \(0.0737897\pi\) | |||||||
\(194\) | −6.28518 | + | 0.125227i | −0.451250 | + | 0.00899074i | ||||
\(195\) | −6.84343 | − | 7.86948i | −0.490068 | − | 0.563545i | ||||
\(196\) | 10.2055 | − | 0.406832i | 0.728964 | − | 0.0290594i | ||||
\(197\) | −1.41685 | − | 1.41685i | −0.100947 | − | 0.100947i | 0.654830 | − | 0.755776i | \(-0.272740\pi\) |
−0.755776 | + | 0.654830i | \(0.772740\pi\) | |||||||
\(198\) | −10.7780 | + | 11.2162i | −0.765960 | + | 0.797102i | ||||
\(199\) | −15.2147 | −1.07854 | −0.539270 | − | 0.842133i | \(-0.681300\pi\) | ||||
−0.539270 | + | 0.842133i | \(0.681300\pi\) | |||||||
\(200\) | 10.7625 | − | 9.17440i | 0.761020 | − | 0.648728i | ||||
\(201\) | 3.72811 | 0.262960 | ||||||||
\(202\) | −0.963106 | + | 1.00226i | −0.0677639 | + | 0.0705191i | ||||
\(203\) | −6.32042 | − | 6.32042i | −0.443606 | − | 0.443606i | ||||
\(204\) | −2.85494 | + | 0.113809i | −0.199886 | + | 0.00796825i | ||||
\(205\) | −9.80784 | − | 11.2784i | −0.685009 | − | 0.787714i | ||||
\(206\) | 10.4149 | − | 0.207508i | 0.725644 | − | 0.0144578i | ||||
\(207\) | 4.25281 | − | 4.25281i | 0.295591 | − | 0.295591i | ||||
\(208\) | −14.6928 | + | 17.2430i | −1.01876 | + | 1.19559i | ||||
\(209\) | 4.73734i | 0.327688i | ||||||||
\(210\) | 3.57874 | + | 0.178024i | 0.246956 | + | 0.0122848i | ||||
\(211\) | − | 9.35082i | − | 0.643737i | −0.946784 | − | 0.321868i | \(-0.895689\pi\) | ||
0.946784 | − | 0.321868i | \(-0.104311\pi\) | |||||||
\(212\) | −7.58503 | − | 7.00348i | −0.520942 | − | 0.481001i | ||||
\(213\) | 8.63283 | − | 8.63283i | 0.591512 | − | 0.591512i | ||||
\(214\) | 0.559302 | + | 28.0716i | 0.0382331 | + | 1.91894i | ||||
\(215\) | −1.03971 | + | 14.9088i | −0.0709079 | + | 1.01677i | ||||
\(216\) | 12.3737 | − | 0.740386i | 0.841922 | − | 0.0503769i | ||||
\(217\) | 1.34605 | + | 1.34605i | 0.0913757 | + | 0.0913757i | ||||
\(218\) | −13.3419 | − | 12.8207i | −0.903629 | − | 0.868325i | ||||
\(219\) | −6.99998 | −0.473015 | ||||||||
\(220\) | −14.5280 | − | 15.4202i | −0.979479 | − | 1.03963i | ||||
\(221\) | 9.82488 | 0.660893 | ||||||||
\(222\) | −4.12456 | − | 3.96342i | −0.276823 | − | 0.266007i | ||||
\(223\) | −17.7719 | − | 17.7719i | −1.19010 | − | 1.19010i | −0.977040 | − | 0.213058i | \(-0.931658\pi\) |
−0.213058 | − | 0.977040i | \(-0.568342\pi\) | |||||||
\(224\) | −0.774008 | − | 7.74488i | −0.0517156 | − | 0.517477i | ||||
\(225\) | 11.4968 | + | 1.61136i | 0.766452 | + | 0.107424i | ||||
\(226\) | −0.0235078 | − | 1.17987i | −0.00156372 | − | 0.0784838i | ||||
\(227\) | −6.78822 | + | 6.78822i | −0.450550 | + | 0.450550i | −0.895537 | − | 0.444987i | \(-0.853208\pi\) |
0.444987 | + | 0.895537i | \(0.353208\pi\) | |||||||
\(228\) | 1.11730 | − | 1.21008i | 0.0739953 | − | 0.0801397i | ||||
\(229\) | − | 22.4951i | − | 1.48652i | −0.669004 | − | 0.743259i | \(-0.733279\pi\) | ||
0.669004 | − | 0.743259i | \(-0.266721\pi\) | |||||||
\(230\) | 5.49729 | + | 6.07284i | 0.362480 | + | 0.400431i | ||||
\(231\) | − | 5.36785i | − | 0.353179i | ||||||
\(232\) | 12.1933 | − | 13.7453i | 0.800528 | − | 0.902425i | ||||
\(233\) | −19.3466 | + | 19.3466i | −1.26744 | + | 1.26744i | −0.320030 | + | 0.947407i | \(0.603693\pi\) |
−0.947407 | + | 0.320030i | \(0.896307\pi\) | |||||||
\(234\) | −18.5927 | + | 0.370443i | −1.21545 | + | 0.0242166i | ||||
\(235\) | 19.3319 | + | 1.34817i | 1.26108 | + | 0.0879451i | ||||
\(236\) | −0.0230298 | − | 0.577709i | −0.00149911 | − | 0.0376057i | ||||
\(237\) | 3.05299 | + | 3.05299i | 0.198313 | + | 0.198313i | ||||
\(238\) | −2.33892 | + | 2.43401i | −0.151610 | + | 0.157774i | ||||
\(239\) | 25.6419 | 1.65864 | 0.829320 | − | 0.558774i | \(-0.188728\pi\) | ||||
0.829320 | + | 0.558774i | \(0.188728\pi\) | |||||||
\(240\) | 0.0741008 | + | 7.36532i | 0.00478319 | + | 0.475429i | ||||
\(241\) | −1.95779 | −0.126112 | −0.0630561 | − | 0.998010i | \(-0.520085\pi\) | ||||
−0.0630561 | + | 0.998010i | \(0.520085\pi\) | |||||||
\(242\) | −11.2121 | + | 11.6680i | −0.720744 | + | 0.750048i | ||||
\(243\) | 11.2513 | + | 11.2513i | 0.721772 | + | 0.721772i | ||||
\(244\) | 0.369418 | + | 9.26696i | 0.0236496 | + | 0.593256i | ||||
\(245\) | −8.61674 | + | 7.49326i | −0.550503 | + | 0.478727i | ||||
\(246\) | 7.78304 | − | 0.155070i | 0.496228 | − | 0.00988689i | ||||
\(247\) | −4.00469 | + | 4.00469i | −0.254812 | + | 0.254812i | ||||
\(248\) | −2.59678 | + | 2.92732i | −0.164896 | + | 0.185885i | ||||
\(249\) | − | 5.14787i | − | 0.326233i | ||||||
\(250\) | −2.96989 | + | 15.5300i | −0.187832 | + | 0.982201i | ||||
\(251\) | 3.53141i | 0.222900i | 0.993770 | + | 0.111450i | \(0.0355496\pi\) | ||||
−0.993770 | + | 0.111450i | \(0.964450\pi\) | |||||||
\(252\) | 4.33443 | − | 4.69435i | 0.273043 | − | 0.295716i | ||||
\(253\) | 8.67719 | − | 8.67719i | 0.545530 | − | 0.545530i | ||||
\(254\) | −0.443303 | − | 22.2496i | −0.0278153 | − | 1.39606i | ||||
\(255\) | 2.41049 | − | 2.09621i | 0.150951 | − | 0.131270i | ||||
\(256\) | 15.7972 | − | 2.53916i | 0.987327 | − | 0.158698i | ||||
\(257\) | −1.61975 | − | 1.61975i | −0.101037 | − | 0.101037i | 0.654781 | − | 0.755819i | \(-0.272761\pi\) |
−0.755819 | + | 0.654781i | \(0.772761\pi\) | |||||||
\(258\) | −5.61258 | − | 5.39330i | −0.349424 | − | 0.335772i | ||||
\(259\) | −6.75811 | −0.419929 | ||||||||
\(260\) | 0.754215 | − | 25.3166i | 0.0467744 | − | 1.57007i | ||||
\(261\) | 15.0832 | 0.933627 | ||||||||
\(262\) | −4.65996 | − | 4.47789i | −0.287893 | − | 0.276645i | ||||
\(263\) | −11.7656 | − | 11.7656i | −0.725497 | − | 0.725497i | 0.244222 | − | 0.969719i | \(-0.421467\pi\) |
−0.969719 | + | 0.244222i | \(0.921467\pi\) | |||||||
\(264\) | 11.0147 | − | 0.659070i | 0.677906 | − | 0.0405629i | ||||
\(265\) | 11.5144 | + | 0.802994i | 0.707326 | + | 0.0493275i | ||||
\(266\) | −0.0387619 | − | 1.94548i | −0.00237664 | − | 0.119285i | ||||
\(267\) | −5.05400 | + | 5.05400i | −0.309300 | + | 0.309300i | ||||
\(268\) | 6.65222 | + | 6.14218i | 0.406349 | + | 0.375194i | ||||
\(269\) | − | 5.80800i | − | 0.354120i | −0.984200 | − | 0.177060i | \(-0.943341\pi\) | ||
0.984200 | − | 0.177060i | \(-0.0566587\pi\) | |||||||
\(270\) | −10.2745 | + | 9.30076i | −0.625288 | + | 0.566026i | ||||
\(271\) | − | 15.9470i | − | 0.968709i | −0.874872 | − | 0.484354i | \(-0.839055\pi\) | ||
0.874872 | − | 0.484354i | \(-0.160945\pi\) | |||||||
\(272\) | −5.28170 | − | 4.50054i | −0.320250 | − | 0.272885i | ||||
\(273\) | 4.53769 | − | 4.53769i | 0.274634 | − | 0.274634i | ||||
\(274\) | −15.4930 | + | 0.308683i | −0.935963 | + | 0.0186482i | ||||
\(275\) | 23.4574 | + | 3.28774i | 1.41453 | + | 0.198258i | ||||
\(276\) | −4.26298 | + | 0.169940i | −0.256601 | + | 0.0102292i | ||||
\(277\) | 14.1246 | + | 14.1246i | 0.848667 | + | 0.848667i | 0.989967 | − | 0.141300i | \(-0.0451282\pi\) |
−0.141300 | + | 0.989967i | \(0.545128\pi\) | |||||||
\(278\) | 21.7766 | − | 22.6620i | 1.30607 | − | 1.35917i | ||||
\(279\) | −3.21224 | −0.192312 | ||||||||
\(280\) | 6.09239 | + | 6.21375i | 0.364090 | + | 0.371342i | ||||
\(281\) | −31.6384 | −1.88739 | −0.943693 | − | 0.330821i | \(-0.892674\pi\) | ||||
−0.943693 | + | 0.330821i | \(0.892674\pi\) | |||||||
\(282\) | −6.99336 | + | 7.27770i | −0.416449 | + | 0.433381i | ||||
\(283\) | 3.72139 | + | 3.72139i | 0.221214 | + | 0.221214i | 0.809009 | − | 0.587796i | \(-0.200004\pi\) |
−0.587796 | + | 0.809009i | \(0.700004\pi\) | |||||||
\(284\) | 29.6268 | − | 1.18104i | 1.75803 | − | 0.0700820i | ||||
\(285\) | −0.128106 | + | 1.83696i | −0.00758836 | + | 0.108812i | ||||
\(286\) | −37.9356 | + | 0.755831i | −2.24318 | + | 0.0446933i | ||||
\(287\) | 6.50331 | − | 6.50331i | 0.383878 | − | 0.383878i | ||||
\(288\) | 10.1649 | + | 8.31774i | 0.598970 | + | 0.490127i | ||||
\(289\) | − | 13.9905i | − | 0.822973i | ||||||
\(290\) | −1.02064 | + | 20.5176i | −0.0599343 | + | 1.20483i | ||||
\(291\) | 3.66065i | 0.214591i | ||||||||
\(292\) | −12.4904 | − | 11.5327i | −0.730943 | − | 0.674901i | ||||
\(293\) | −6.12424 | + | 6.12424i | −0.357782 | + | 0.357782i | −0.862995 | − | 0.505213i | \(-0.831414\pi\) |
0.505213 | + | 0.862995i | \(0.331414\pi\) | |||||||
\(294\) | −0.118475 | − | 5.94630i | −0.00690957 | − | 0.346795i | ||||
\(295\) | 0.424176 | + | 0.487773i | 0.0246965 | + | 0.0283993i | ||||
\(296\) | −0.829767 | − | 13.8674i | −0.0482292 | − | 0.806029i | ||||
\(297\) | 14.6808 | + | 14.6808i | 0.851865 | + | 0.851865i | ||||
\(298\) | 14.8417 | + | 14.2619i | 0.859759 | + | 0.826169i | ||||
\(299\) | 14.6705 | 0.848414 | ||||||||
\(300\) | −5.21644 | − | 6.37225i | −0.301171 | − | 0.367902i | ||||
\(301\) | −9.19624 | −0.530062 | ||||||||
\(302\) | −19.9467 | − | 19.1674i | −1.14781 | − | 1.10296i | ||||
\(303\) | 0.572340 | + | 0.572340i | 0.0328801 | + | 0.0328801i | ||||
\(304\) | 3.98731 | − | 0.318406i | 0.228688 | − | 0.0182618i | ||||
\(305\) | −6.80415 | − | 7.82431i | −0.389605 | − | 0.448019i | ||||
\(306\) | −0.113470 | − | 5.69512i | −0.00648666 | − | 0.325569i | ||||
\(307\) | −4.24256 | + | 4.24256i | −0.242136 | + | 0.242136i | −0.817733 | − | 0.575597i | \(-0.804770\pi\) |
0.575597 | + | 0.817733i | \(0.304770\pi\) | |||||||
\(308\) | 8.84372 | − | 9.57809i | 0.503918 | − | 0.545762i | ||||
\(309\) | − | 6.06592i | − | 0.345078i | ||||||
\(310\) | 0.217365 | − | 4.36959i | 0.0123455 | − | 0.248176i | ||||
\(311\) | − | 3.28417i | − | 0.186228i | −0.995655 | − | 0.0931141i | \(-0.970318\pi\) | ||
0.995655 | − | 0.0931141i | \(-0.0296821\pi\) | |||||||
\(312\) | 9.86835 | + | 8.75407i | 0.558686 | + | 0.495602i | ||||
\(313\) | −2.98777 | + | 2.98777i | −0.168879 | + | 0.168879i | −0.786486 | − | 0.617608i | \(-0.788102\pi\) |
0.617608 | + | 0.786486i | \(0.288102\pi\) | |||||||
\(314\) | 28.8609 | − | 0.575027i | 1.62872 | − | 0.0324507i | ||||
\(315\) | −0.496970 | + | 7.12624i | −0.0280011 | + | 0.401518i | ||||
\(316\) | 0.417675 | + | 10.4775i | 0.0234960 | + | 0.589405i | ||||
\(317\) | −5.46173 | − | 5.46173i | −0.306761 | − | 0.306761i | 0.536891 | − | 0.843652i | \(-0.319599\pi\) |
−0.843652 | + | 0.536891i | \(0.819599\pi\) | |||||||
\(318\) | −4.16536 | + | 4.33472i | −0.233582 | + | 0.243079i | ||||
\(319\) | 30.7749 | 1.72306 | ||||||||
\(320\) | −12.0024 | + | 13.2643i | −0.670954 | + | 0.741499i | ||||
\(321\) | 16.3496 | 0.912546 | ||||||||
\(322\) | −3.49246 | + | 3.63446i | −0.194627 | + | 0.202540i | ||||
\(323\) | −1.22667 | − | 1.22667i | −0.0682539 | − | 0.0682539i | ||||
\(324\) | 0.267387 | + | 6.70747i | 0.0148548 | + | 0.372637i | ||||
\(325\) | 17.0503 | + | 22.6089i | 0.945783 | + | 1.25412i | ||||
\(326\) | 27.0139 | − | 0.538228i | 1.49616 | − | 0.0298097i | ||||
\(327\) | −7.61887 | + | 7.61887i | −0.421324 | + | 0.421324i | ||||
\(328\) | 14.1431 | + | 12.5461i | 0.780921 | + | 0.692743i | ||||
\(329\) | 11.9245i | 0.657422i | ||||||||
\(330\) | −9.14608 | + | 8.27925i | −0.503475 | + | 0.455758i | ||||
\(331\) | 27.0645i | 1.48760i | 0.668403 | + | 0.743799i | \(0.266978\pi\) | ||||
−0.668403 | + | 0.743799i | \(0.733022\pi\) | |||||||
\(332\) | 8.48130 | − | 9.18557i | 0.465472 | − | 0.504124i | ||||
\(333\) | 8.06387 | − | 8.06387i | 0.441897 | − | 0.441897i | ||||
\(334\) | 0.460075 | + | 23.0914i | 0.0251742 | + | 1.26350i | ||||
\(335\) | −10.0984 | − | 0.704241i | −0.551733 | − | 0.0384768i | ||||
\(336\) | −4.51800 | + | 0.360784i | −0.246477 | + | 0.0196824i | ||||
\(337\) | −7.05018 | − | 7.05018i | −0.384048 | − | 0.384048i | 0.488510 | − | 0.872558i | \(-0.337541\pi\) |
−0.872558 | + | 0.488510i | \(0.837541\pi\) | |||||||
\(338\) | −19.4512 | − | 18.6913i | −1.05801 | − | 1.01667i | ||||
\(339\) | −0.687185 | −0.0373228 | ||||||||
\(340\) | 7.75472 | + | 0.231023i | 0.420559 | + | 0.0125290i | ||||
\(341\) | −6.55408 | −0.354923 | ||||||||
\(342\) | 2.36762 | + | 2.27512i | 0.128026 | + | 0.123024i | ||||
\(343\) | −11.7791 | − | 11.7791i | −0.636012 | − | 0.636012i | ||||
\(344\) | −1.12912 | − | 18.8704i | −0.0608782 | − | 1.01742i | ||||
\(345\) | 3.59934 | − | 3.13004i | 0.193782 | − | 0.168516i | ||||
\(346\) | 0.432254 | + | 21.6950i | 0.0232381 | + | 1.16633i | ||||
\(347\) | −6.37184 | + | 6.37184i | −0.342058 | + | 0.342058i | −0.857141 | − | 0.515083i | \(-0.827761\pi\) |
0.515083 | + | 0.857141i | \(0.327761\pi\) | |||||||
\(348\) | −7.86100 | − | 7.25829i | −0.421394 | − | 0.389085i | ||||
\(349\) | − | 2.28416i | − | 0.122268i | −0.998130 | − | 0.0611342i | \(-0.980528\pi\) | ||
0.998130 | − | 0.0611342i | \(-0.0194718\pi\) | |||||||
\(350\) | −9.66014 | − | 1.15824i | −0.516356 | − | 0.0619106i | ||||
\(351\) | 24.8207i | 1.32483i | ||||||||
\(352\) | 20.7398 | + | 16.9710i | 1.10543 | + | 0.904560i | ||||
\(353\) | 17.1646 | − | 17.1646i | 0.913578 | − | 0.913578i | −0.0829741 | − | 0.996552i | \(-0.526442\pi\) |
0.996552 | + | 0.0829741i | \(0.0264419\pi\) | |||||||
\(354\) | −0.336606 | + | 0.00670656i | −0.0178904 | + | 0.000356450i | ||||
\(355\) | −25.0146 | + | 21.7531i | −1.32764 | + | 1.15454i | ||||
\(356\) | −17.3447 | + | 0.691429i | −0.919267 | + | 0.0366456i | ||||
\(357\) | 1.38994 | + | 1.38994i | 0.0735633 | + | 0.0735633i | ||||
\(358\) | 4.50989 | − | 4.69325i | 0.238355 | − | 0.248046i | ||||
\(359\) | −28.3972 | −1.49875 | −0.749373 | − | 0.662148i | \(-0.769645\pi\) | ||||
−0.749373 | + | 0.662148i | \(0.769645\pi\) | |||||||
\(360\) | −14.6838 | − | 0.144802i | −0.773906 | − | 0.00763175i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −13.7405 | + | 14.2992i | −0.722186 | + | 0.751548i | ||||
\(363\) | 6.66298 | + | 6.66298i | 0.349716 | + | 0.349716i | ||||
\(364\) | 15.5728 | − | 0.620794i | 0.816237 | − | 0.0325385i | ||||
\(365\) | 18.9609 | + | 1.32230i | 0.992461 | + | 0.0692123i | ||||
\(366\) | 5.39945 | − | 0.107579i | 0.282234 | − | 0.00562325i | ||||
\(367\) | 1.41139 | − | 1.41139i | 0.0736740 | − | 0.0736740i | −0.669310 | − | 0.742984i | \(-0.733410\pi\) |
0.742984 | + | 0.669310i | \(0.233410\pi\) | |||||||
\(368\) | −7.88660 | − | 6.72018i | −0.411118 | − | 0.350314i | ||||
\(369\) | 15.5197i | 0.807922i | ||||||||
\(370\) | 10.4236 | + | 11.5149i | 0.541895 | + | 0.598631i | ||||
\(371\) | 7.10246i | 0.368741i | ||||||||
\(372\) | 1.67414 | + | 1.54578i | 0.0868003 | + | 0.0801452i | ||||
\(373\) | 10.2157 | − | 10.2157i | 0.528949 | − | 0.528949i | −0.391310 | − | 0.920259i | \(-0.627978\pi\) |
0.920259 | + | 0.391310i | \(0.127978\pi\) | |||||||
\(374\) | −0.231518 | − | 11.6200i | −0.0119715 | − | 0.600856i | ||||
\(375\) | 9.00700 | + | 1.90919i | 0.465119 | + | 0.0985903i | ||||
\(376\) | −24.4688 | + | 1.46411i | −1.26188 | + | 0.0755055i | ||||
\(377\) | 26.0155 | + | 26.0155i | 1.33986 | + | 1.33986i | ||||
\(378\) | −6.14907 | − | 5.90883i | −0.316274 | − | 0.303917i | ||||
\(379\) | −16.8864 | −0.867397 | −0.433699 | − | 0.901058i | \(-0.642792\pi\) | ||||
−0.433699 | + | 0.901058i | \(0.642792\pi\) | |||||||
\(380\) | −3.25504 | + | 3.06671i | −0.166980 | + | 0.157319i | ||||
\(381\) | −12.9587 | −0.663895 | ||||||||
\(382\) | 1.36135 | + | 1.30817i | 0.0696529 | + | 0.0669316i | ||||
\(383\) | −6.02950 | − | 6.02950i | −0.308093 | − | 0.308093i | 0.536076 | − | 0.844169i | \(-0.319906\pi\) |
−0.844169 | + | 0.536076i | \(0.819906\pi\) | |||||||
\(384\) | −1.29504 | − | 9.22650i | −0.0660874 | − | 0.470838i | ||||
\(385\) | −1.01399 | + | 14.5400i | −0.0516777 | + | 0.741025i | ||||
\(386\) | −0.411513 | − | 20.6541i | −0.0209455 | − | 1.05126i | ||||
\(387\) | 10.9731 | − | 10.9731i | 0.557792 | − | 0.557792i | ||||
\(388\) | −6.03104 | + | 6.53185i | −0.306180 | + | 0.331604i | ||||
\(389\) | 33.3599i | 1.69141i | 0.533647 | + | 0.845707i | \(0.320821\pi\) | ||||
−0.533647 | + | 0.845707i | \(0.679179\pi\) | |||||||
\(390\) | −14.7304 | − | 0.732764i | −0.745905 | − | 0.0371049i | ||||
\(391\) | 4.49369i | 0.227256i | ||||||||
\(392\) | 9.58532 | − | 10.8054i | 0.484132 | − | 0.545756i | ||||
\(393\) | −2.66105 | + | 2.66105i | −0.134232 | + | 0.134232i | ||||
\(394\) | −2.83314 | + | 0.0564477i | −0.142732 | + | 0.00284380i | ||||
\(395\) | −7.69296 | − | 8.84639i | −0.387075 | − | 0.445110i | ||||
\(396\) | 0.876256 | + | 21.9811i | 0.0440335 | + | 1.10459i | ||||
\(397\) | −12.0949 | − | 12.0949i | −0.607027 | − | 0.607027i | 0.335141 | − | 0.942168i | \(-0.391216\pi\) |
−0.942168 | + | 0.335141i | \(0.891216\pi\) | |||||||
\(398\) | −14.9086 | + | 15.5147i | −0.747299 | + | 0.777683i | ||||
\(399\) | −1.13310 | −0.0567257 | ||||||||
\(400\) | 1.19059 | − | 19.9645i | 0.0595297 | − | 0.998227i | ||||
\(401\) | −8.90471 | −0.444680 | −0.222340 | − | 0.974969i | \(-0.571369\pi\) | ||||
−0.222340 | + | 0.974969i | \(0.571369\pi\) | |||||||
\(402\) | 3.65310 | − | 3.80163i | 0.182200 | − | 0.189608i | ||||
\(403\) | −5.54046 | − | 5.54046i | −0.275990 | − | 0.275990i | ||||
\(404\) | 0.0783009 | + | 1.96420i | 0.00389561 | + | 0.0977226i | ||||
\(405\) | −4.92488 | − | 5.66328i | −0.244719 | − | 0.281410i | ||||
\(406\) | −12.6383 | + | 0.251807i | −0.627229 | + | 0.0124970i | ||||
\(407\) | 16.4531 | − | 16.4531i | 0.815548 | − | 0.815548i | ||||
\(408\) | −2.68145 | + | 3.02277i | −0.132752 | + | 0.149649i | ||||
\(409\) | 13.2705i | 0.656186i | 0.944645 | + | 0.328093i | \(0.106406\pi\) | ||||
−0.944645 | + | 0.328093i | \(0.893594\pi\) | |||||||
\(410\) | −21.1113 | − | 1.05018i | −1.04261 | − | 0.0518646i | ||||
\(411\) | 9.02348i | 0.445095i | ||||||||
\(412\) | 9.99381 | − | 10.8237i | 0.492360 | − | 0.533244i | ||||
\(413\) | −0.281259 | + | 0.281259i | −0.0138399 | + | 0.0138399i | ||||
\(414\) | −0.169433 | − | 8.50393i | −0.00832718 | − | 0.417945i | ||||
\(415\) | −0.972435 | + | 13.9441i | −0.0477350 | + | 0.684489i | ||||
\(416\) | 3.18589 | + | 31.8787i | 0.156201 | + | 1.56298i | ||||
\(417\) | −12.9410 | − | 12.9410i | −0.633726 | − | 0.633726i | ||||
\(418\) | 4.83076 | + | 4.64203i | 0.236280 | + | 0.227049i | ||||
\(419\) | 11.4136 | 0.557592 | 0.278796 | − | 0.960350i | \(-0.410065\pi\) | ||||
0.278796 | + | 0.960350i | \(0.410065\pi\) | |||||||
\(420\) | 3.68827 | − | 3.47487i | 0.179969 | − | 0.169556i | ||||
\(421\) | 16.0960 | 0.784472 | 0.392236 | − | 0.919865i | \(-0.371702\pi\) | ||||
0.392236 | + | 0.919865i | \(0.371702\pi\) | |||||||
\(422\) | −9.53523 | − | 9.16269i | −0.464168 | − | 0.446033i | ||||
\(423\) | −14.2285 | − | 14.2285i | −0.691814 | − | 0.691814i | ||||
\(424\) | −14.5740 | + | 0.872046i | −0.707778 | + | 0.0423503i | ||||
\(425\) | −6.92531 | + | 5.22268i | −0.335927 | + | 0.253337i | ||||
\(426\) | −0.343934 | − | 17.2622i | −0.0166637 | − | 0.836358i | ||||
\(427\) | 4.51165 | − | 4.51165i | 0.218334 | − | 0.218334i | ||||
\(428\) | 29.1733 | + | 26.9365i | 1.41014 | + | 1.30203i | ||||
\(429\) | 22.0946i | 1.06674i | ||||||||
\(430\) | 14.1841 | + | 15.6691i | 0.684016 | + | 0.755631i | ||||
\(431\) | − | 16.7831i | − | 0.808415i | −0.914667 | − | 0.404208i | \(-0.867547\pi\) | ||
0.914667 | − | 0.404208i | \(-0.132453\pi\) | |||||||
\(432\) | 11.3697 | − | 13.3432i | 0.547027 | − | 0.641975i | ||||
\(433\) | −0.362193 | + | 0.362193i | −0.0174059 | + | 0.0174059i | −0.715756 | − | 0.698350i | \(-0.753918\pi\) |
0.698350 | + | 0.715756i | \(0.253918\pi\) | |||||||
\(434\) | 2.69156 | − | 0.0536269i | 0.129199 | − | 0.00257417i | ||||
\(435\) | 11.9334 | + | 0.832210i | 0.572161 | + | 0.0399014i | ||||
\(436\) | −26.1470 | + | 1.04232i | −1.25221 | + | 0.0499183i | ||||
\(437\) | −1.83166 | − | 1.83166i | −0.0876202 | − | 0.0876202i | ||||
\(438\) | −6.85915 | + | 7.13803i | −0.327743 | + | 0.341068i | ||||
\(439\) | 15.6404 | 0.746477 | 0.373239 | − | 0.927735i | \(-0.378247\pi\) | ||||
0.373239 | + | 0.927735i | \(0.378247\pi\) | |||||||
\(440\) | −29.9601 | − | 0.295446i | −1.42829 | − | 0.0140848i | ||||
\(441\) | 11.8571 | 0.564626 | ||||||||
\(442\) | 9.62722 | − | 10.0186i | 0.457920 | − | 0.476538i | ||||
\(443\) | 15.7362 | + | 15.7362i | 0.747651 | + | 0.747651i | 0.974037 | − | 0.226387i | \(-0.0726913\pi\) |
−0.226387 | + | 0.974037i | \(0.572691\pi\) | |||||||
\(444\) | −8.08317 | + | 0.322227i | −0.383610 | + | 0.0152922i | ||||
\(445\) | 14.6445 | − | 12.7351i | 0.694217 | − | 0.603703i | ||||
\(446\) | −35.5368 | + | 0.708039i | −1.68272 | + | 0.0335266i | ||||
\(447\) | 8.47534 | − | 8.47534i | 0.400870 | − | 0.400870i | ||||
\(448\) | −8.65606 | − | 6.79979i | −0.408960 | − | 0.321260i | ||||
\(449\) | 36.0983i | 1.70359i | 0.523878 | + | 0.851793i | \(0.324485\pi\) | ||||
−0.523878 | + | 0.851793i | \(0.675515\pi\) | |||||||
\(450\) | 12.9086 | − | 10.1446i | 0.608519 | − | 0.478220i | ||||
\(451\) | 31.6655i | 1.49107i | ||||||||
\(452\) | −1.22617 | − | 1.13216i | −0.0576744 | − | 0.0532524i | ||||
\(453\) | −11.3905 | + | 11.3905i | −0.535173 | + | 0.535173i | ||||
\(454\) | 0.270445 | + | 13.5738i | 0.0126926 | + | 0.637048i | ||||
\(455\) | −13.1485 | + | 11.4341i | −0.616410 | + | 0.536041i | ||||
\(456\) | −0.139122 | − | 2.32508i | −0.00651501 | − | 0.108882i | ||||
\(457\) | 24.9941 | + | 24.9941i | 1.16918 | + | 1.16918i | 0.982403 | + | 0.186773i | \(0.0598028\pi\) |
0.186773 | + | 0.982403i | \(0.440197\pi\) | |||||||
\(458\) | −22.9387 | − | 22.0425i | −1.07186 | − | 1.02998i | ||||
\(459\) | −7.60280 | −0.354868 | ||||||||
\(460\) | 11.5793 | + | 0.344962i | 0.539888 | + | 0.0160839i | ||||
\(461\) | 33.6026 | 1.56503 | 0.782514 | − | 0.622633i | \(-0.213937\pi\) | ||||
0.782514 | + | 0.622633i | \(0.213937\pi\) | |||||||
\(462\) | −5.47372 | − | 5.25986i | −0.254660 | − | 0.244711i | ||||
\(463\) | 18.6594 | + | 18.6594i | 0.867175 | + | 0.867175i | 0.992159 | − | 0.124983i | \(-0.0398878\pi\) |
−0.124983 | + | 0.992159i | \(0.539888\pi\) | |||||||
\(464\) | −2.06844 | − | 25.9025i | −0.0960251 | − | 1.20250i | ||||
\(465\) | −2.54143 | − | 0.177234i | −0.117856 | − | 0.00821904i | ||||
\(466\) | 0.770773 | + | 38.6855i | 0.0357054 | + | 1.79207i | ||||
\(467\) | 3.14547 | − | 3.14547i | 0.145555 | − | 0.145555i | −0.630574 | − | 0.776129i | \(-0.717181\pi\) |
0.776129 | + | 0.630574i | \(0.217181\pi\) | |||||||
\(468\) | −17.8409 | + | 19.3224i | −0.824697 | + | 0.893179i | ||||
\(469\) | − | 6.22899i | − | 0.287628i | ||||||
\(470\) | 20.3178 | − | 18.3922i | 0.937189 | − | 0.848367i | ||||
\(471\) | − | 16.8093i | − | 0.774532i | ||||||
\(472\) | −0.611669 | − | 0.542603i | −0.0281544 | − | 0.0249753i | ||||
\(473\) | 22.3888 | − | 22.3888i | 1.02944 | − | 1.02944i | ||||
\(474\) | 6.10477 | − | 0.121632i | 0.280401 | − | 0.00558674i | ||||
\(475\) | 0.694006 | − | 4.95160i | 0.0318432 | − | 0.227195i | ||||
\(476\) | 0.190155 | + | 4.77009i | 0.00871574 | + | 0.218637i | ||||
\(477\) | −8.47474 | − | 8.47474i | −0.388032 | − | 0.388032i | ||||
\(478\) | 25.1261 | − | 26.1477i | 1.14924 | − | 1.19597i | ||||
\(479\) | 34.5022 | 1.57645 | 0.788223 | − | 0.615389i | \(-0.211001\pi\) | ||||
0.788223 | + | 0.615389i | \(0.211001\pi\) | |||||||
\(480\) | 7.58319 | + | 7.14158i | 0.346124 | + | 0.325967i | ||||
\(481\) | 27.8171 | 1.26835 | ||||||||
\(482\) | −1.91840 | + | 1.99640i | −0.0873808 | + | 0.0909335i | ||||
\(483\) | 2.07545 | + | 2.07545i | 0.0944361 | + | 0.0944361i | ||||
\(484\) | 0.911551 | + | 22.8665i | 0.0414341 | + | 1.03939i | ||||
\(485\) | 0.691498 | − | 9.91564i | 0.0313993 | − | 0.450246i | ||||
\(486\) | 22.4982 | − | 0.448255i | 1.02054 | − | 0.0203333i | ||||
\(487\) | 14.8873 | − | 14.8873i | 0.674607 | − | 0.674607i | −0.284167 | − | 0.958775i | \(-0.591717\pi\) |
0.958775 | + | 0.284167i | \(0.0917171\pi\) | |||||||
\(488\) | 9.81171 | + | 8.70382i | 0.444155 | + | 0.394003i | ||||
\(489\) | − | 15.7336i | − | 0.711497i | ||||||
\(490\) | −0.802344 | + | 16.1292i | −0.0362462 | + | 0.728642i | ||||
\(491\) | − | 14.7286i | − | 0.664692i | −0.943158 | − | 0.332346i | \(-0.892160\pi\) | ||
0.943158 | − | 0.332346i | \(-0.107840\pi\) | |||||||
\(492\) | 7.46832 | − | 8.08848i | 0.336698 | − | 0.364657i | ||||
\(493\) | −7.96877 | + | 7.96877i | −0.358895 | + | 0.358895i | ||||
\(494\) | 0.159548 | + | 8.00779i | 0.00717840 | + | 0.360287i | ||||
\(495\) | −16.1394 | − | 18.5592i | −0.725411 | − | 0.834173i | ||||
\(496\) | 0.440513 | + | 5.51642i | 0.0197796 | + | 0.247694i | ||||
\(497\) | −14.4239 | − | 14.4239i | −0.647000 | − | 0.647000i | ||||
\(498\) | −5.24940 | − | 5.04431i | −0.235231 | − | 0.226041i | ||||
\(499\) | −32.1745 | −1.44033 | −0.720165 | − | 0.693803i | \(-0.755934\pi\) | ||||
−0.720165 | + | 0.693803i | \(0.755934\pi\) | |||||||
\(500\) | 12.9261 | + | 18.2460i | 0.578073 | + | 0.815985i | ||||
\(501\) | 13.4490 | 0.600857 | ||||||||
\(502\) | 3.60105 | + | 3.46036i | 0.160723 | + | 0.154443i | ||||
\(503\) | −14.5815 | − | 14.5815i | −0.650157 | − | 0.650157i | 0.302874 | − | 0.953031i | \(-0.402054\pi\) |
−0.953031 | + | 0.302874i | \(0.902054\pi\) | |||||||
\(504\) | −0.539706 | − | 9.01982i | −0.0240404 | − | 0.401775i | ||||
\(505\) | −1.44219 | − | 1.65842i | −0.0641766 | − | 0.0737987i | ||||
\(506\) | −0.345701 | − | 17.3509i | −0.0153683 | − | 0.771343i | ||||
\(507\) | −11.1076 | + | 11.1076i | −0.493305 | + | 0.493305i | ||||
\(508\) | −23.1228 | − | 21.3499i | −1.02591 | − | 0.947250i | ||||
\(509\) | − | 30.8387i | − | 1.36690i | −0.729996 | − | 0.683452i | \(-0.760478\pi\) | ||
0.729996 | − | 0.683452i | \(-0.239522\pi\) | |||||||
\(510\) | 0.224452 | − | 4.51207i | 0.00993891 | − | 0.199798i | ||||
\(511\) | 11.6957i | 0.517387i | ||||||||
\(512\) | 12.8902 | − | 18.5969i | 0.569671 | − | 0.821873i | ||||
\(513\) | 3.09895 | − | 3.09895i | 0.136822 | − | 0.136822i | ||||
\(514\) | −3.23886 | + | 0.0645314i | −0.142860 | + | 0.00284636i | ||||
\(515\) | −1.14586 | + | 16.4308i | −0.0504924 | + | 0.724029i | ||||
\(516\) | −10.9993 | + | 0.438477i | −0.484218 | + | 0.0193029i | ||||
\(517\) | −29.0311 | − | 29.0311i | −1.27679 | − | 1.27679i | ||||
\(518\) | −6.62215 | + | 6.89140i | −0.290961 | + | 0.302791i | ||||
\(519\) | 12.6357 | 0.554647 | ||||||||
\(520\) | −25.0769 | − | 25.5764i | −1.09969 | − | 1.12160i | ||||
\(521\) | −15.7674 | −0.690782 | −0.345391 | − | 0.938459i | \(-0.612254\pi\) | ||||
−0.345391 | + | 0.938459i | \(0.612254\pi\) | |||||||
\(522\) | 14.7797 | − | 15.3807i | 0.646892 | − | 0.673193i | ||||
\(523\) | −24.2821 | − | 24.2821i | −1.06178 | − | 1.06178i | −0.997961 | − | 0.0638230i | \(-0.979671\pi\) |
−0.0638230 | − | 0.997961i | \(-0.520329\pi\) | |||||||
\(524\) | −9.13241 | + | 0.364054i | −0.398951 | + | 0.0159038i | ||||
\(525\) | −0.786375 | + | 5.61064i | −0.0343202 | + | 0.244868i | ||||
\(526\) | −23.5265 | + | 0.468744i | −1.02580 | + | 0.0204382i | ||||
\(527\) | 1.69709 | − | 1.69709i | 0.0739266 | − | 0.0739266i | ||||
\(528\) | 10.1210 | − | 11.8777i | 0.440460 | − | 0.516911i | ||||
\(529\) | − | 16.2900i | − | 0.708263i | ||||||
\(530\) | 12.1016 | − | 10.9547i | 0.525660 | − | 0.475840i | ||||
\(531\) | − | 0.671205i | − | 0.0291278i | ||||||
\(532\) | −2.02183 | − | 1.86681i | −0.0876575 | − | 0.0809366i | ||||
\(533\) | −26.7683 | + | 26.7683i | −1.15946 | + | 1.15946i | ||||
\(534\) | 0.201353 | + | 10.1060i | 0.00871338 | + | 0.437329i | ||||
\(535\) | −44.2864 | − | 3.08845i | −1.91467 | − | 0.133525i | ||||
\(536\) | 12.7817 | − | 0.764801i | 0.552086 | − | 0.0330344i | ||||
\(537\) | −2.68007 | − | 2.68007i | −0.115654 | − | 0.115654i | ||||
\(538\) | −5.92255 | − | 5.69115i | −0.255339 | − | 0.245363i | ||||
\(539\) | 24.1926 | 1.04205 | ||||||||
\(540\) | −0.583635 | + | 19.5908i | −0.0251156 | + | 0.843054i | ||||
\(541\) | −13.1301 | −0.564506 | −0.282253 | − | 0.959340i | \(-0.591082\pi\) | ||||
−0.282253 | + | 0.959340i | \(0.591082\pi\) | |||||||
\(542\) | −16.2615 | − | 15.6261i | −0.698490 | − | 0.671200i | ||||
\(543\) | 8.16551 | + | 8.16551i | 0.350415 | + | 0.350415i | ||||
\(544\) | −9.76474 | + | 0.975868i | −0.418660 | + | 0.0418400i | ||||
\(545\) | 22.0765 | − | 19.1981i | 0.945655 | − | 0.822357i | ||||
\(546\) | −0.180783 | − | 9.07359i | −0.00773680 | − | 0.388314i | ||||
\(547\) | 6.67431 | − | 6.67431i | 0.285373 | − | 0.285373i | −0.549875 | − | 0.835247i | \(-0.685324\pi\) |
0.835247 | + | 0.549875i | \(0.185324\pi\) | |||||||
\(548\) | −14.8665 | + | 16.1010i | −0.635065 | + | 0.687799i | ||||
\(549\) | 10.7667i | 0.459512i | ||||||||
\(550\) | 26.3380 | − | 20.6984i | 1.12306 | − | 0.882584i | ||||
\(551\) | − | 6.49625i | − | 0.276750i | ||||||
\(552\) | −4.00393 | + | 4.51358i | −0.170418 | + | 0.192111i | ||||
\(553\) | 5.10100 | − | 5.10100i | 0.216916 | − | 0.216916i | ||||
\(554\) | 28.2437 | − | 0.562729i | 1.19996 | − | 0.0239081i | ||||
\(555\) | 6.82480 | − | 5.93496i | 0.289697 | − | 0.251925i | ||||
\(556\) | −1.77044 | − | 44.4121i | −0.0750835 | − | 1.88349i | ||||
\(557\) | −10.5667 | − | 10.5667i | −0.447725 | − | 0.447725i | 0.446873 | − | 0.894598i | \(-0.352538\pi\) |
−0.894598 | + | 0.446873i | \(0.852538\pi\) | |||||||
\(558\) | −3.14762 | + | 3.27559i | −0.133249 | + | 0.138667i | ||||
\(559\) | 37.8526 | 1.60100 | ||||||||
\(560\) | 12.3061 | − | 0.123809i | 0.520028 | − | 0.00523189i | ||||
\(561\) | −6.76778 | −0.285736 | ||||||||
\(562\) | −31.0019 | + | 32.2623i | −1.30773 | + | 1.36090i | ||||
\(563\) | −18.7352 | − | 18.7352i | −0.789595 | − | 0.789595i | 0.191833 | − | 0.981428i | \(-0.438557\pi\) |
−0.981428 | + | 0.191833i | \(0.938557\pi\) | |||||||
\(564\) | 0.568563 | + | 14.2626i | 0.0239408 | + | 0.600563i | ||||
\(565\) | 1.86139 | + | 0.129810i | 0.0783091 | + | 0.00546113i | ||||
\(566\) | 7.44130 | − | 0.148261i | 0.312781 | − | 0.00623188i | ||||
\(567\) | 3.26555 | − | 3.26555i | 0.137140 | − | 0.137140i | ||||
\(568\) | 27.8264 | − | 31.3684i | 1.16757 | − | 1.31619i | ||||
\(569\) | 33.1004i | 1.38764i | 0.720147 | + | 0.693821i | \(0.244074\pi\) | ||||
−0.720147 | + | 0.693821i | \(0.755926\pi\) | |||||||
\(570\) | 1.74766 | + | 1.93064i | 0.0732015 | + | 0.0808655i | ||||
\(571\) | − | 17.4026i | − | 0.728277i | −0.931345 | − | 0.364138i | \(-0.881364\pi\) | ||
0.931345 | − | 0.364138i | \(-0.118636\pi\) | |||||||
\(572\) | −36.4016 | + | 39.4243i | −1.52203 | + | 1.64841i | ||||
\(573\) | 0.777397 | − | 0.777397i | 0.0324762 | − | 0.0324762i | ||||
\(574\) | −0.259094 | − | 13.0040i | −0.0108144 | − | 0.542778i | ||||
\(575\) | −10.3408 | + | 7.79847i | −0.431243 | + | 0.325219i | ||||
\(576\) | 18.4421 | − | 2.21492i | 0.768422 | − | 0.0922884i | ||||
\(577\) | 4.50750 | + | 4.50750i | 0.187650 | + | 0.187650i | 0.794679 | − | 0.607030i | \(-0.207639\pi\) |
−0.607030 | + | 0.794679i | \(0.707639\pi\) | |||||||
\(578\) | −14.2665 | − | 13.7091i | −0.593407 | − | 0.570223i | ||||
\(579\) | −12.0294 | −0.499927 | ||||||||
\(580\) | 19.9221 | + | 21.1456i | 0.827220 | + | 0.878022i | ||||
\(581\) | −8.60116 | −0.356836 | ||||||||
\(582\) | 3.73284 | + | 3.58700i | 0.154731 | + | 0.148686i | ||||
\(583\) | −17.2914 | − | 17.2914i | −0.716136 | − | 0.716136i | ||||
\(584\) | −23.9992 | + | 1.43601i | −0.993095 | + | 0.0594224i | ||||
\(585\) | 2.04558 | − | 29.3323i | 0.0845742 | − | 1.21274i | ||||
\(586\) | 0.243991 | + | 12.2461i | 0.0100792 | + | 0.505880i | ||||
\(587\) | 6.94211 | − | 6.94211i | 0.286531 | − | 0.286531i | −0.549176 | − | 0.835707i | \(-0.685058\pi\) |
0.835707 | + | 0.549176i | \(0.185058\pi\) | |||||||
\(588\) | −6.17966 | − | 5.70585i | −0.254845 | − | 0.235305i | ||||
\(589\) | 1.38349i | 0.0570059i | ||||||||
\(590\) | 0.913035 | + | 0.0454188i | 0.0375891 | + | 0.00186986i | ||||
\(591\) | 1.65009i | 0.0678757i | ||||||||
\(592\) | −14.9540 | − | 12.7423i | −0.614606 | − | 0.523706i | ||||
\(593\) | −6.95256 | + | 6.95256i | −0.285507 | + | 0.285507i | −0.835301 | − | 0.549793i | \(-0.814706\pi\) |
0.549793 | + | 0.835301i | \(0.314706\pi\) | |||||||
\(594\) | 29.3557 | − | 0.584886i | 1.20448 | − | 0.0239982i | ||||
\(595\) | −3.50238 | − | 4.02750i | −0.143584 | − | 0.165111i | ||||
\(596\) | 29.0863 | − | 1.15950i | 1.19142 | − | 0.0474948i | ||||
\(597\) | 8.85964 | + | 8.85964i | 0.362601 | + | 0.362601i | ||||
\(598\) | 14.3753 | − | 14.9598i | 0.587850 | − | 0.611751i | ||||
\(599\) | −41.8628 | −1.71047 | −0.855233 | − | 0.518243i | \(-0.826586\pi\) | ||||
−0.855233 | + | 0.518243i | \(0.826586\pi\) | |||||||
\(600\) | −11.6094 | − | 0.924738i | −0.473952 | − | 0.0377523i | ||||
\(601\) | 9.08392 | 0.370541 | 0.185270 | − | 0.982688i | \(-0.440684\pi\) | ||||
0.185270 | + | 0.982688i | \(0.440684\pi\) | |||||||
\(602\) | −9.01122 | + | 9.37760i | −0.367270 | + | 0.382203i | ||||
\(603\) | 7.43251 | + | 7.43251i | 0.302675 | + | 0.302675i | ||||
\(604\) | −39.0909 | + | 1.55832i | −1.59058 | + | 0.0634070i | ||||
\(605\) | −16.7895 | − | 19.3067i | −0.682589 | − | 0.784931i | ||||
\(606\) | 1.14445 | − | 0.0228022i | 0.0464902 | − | 0.000926275i | ||||
\(607\) | 4.79286 | − | 4.79286i | 0.194536 | − | 0.194536i | −0.603117 | − | 0.797653i | \(-0.706075\pi\) |
0.797653 | + | 0.603117i | \(0.206075\pi\) | |||||||
\(608\) | 3.58240 | − | 4.37794i | 0.145286 | − | 0.177549i | ||||
\(609\) | 7.36087i | 0.298278i | ||||||||
\(610\) | −14.6459 | − | 0.728558i | −0.592994 | − | 0.0294984i | ||||
\(611\) | − | 49.0826i | − | 1.98567i | ||||||
\(612\) | −5.91863 | − | 5.46484i | −0.239246 | − | 0.220903i | ||||
\(613\) | −17.4802 | + | 17.4802i | −0.706018 | + | 0.706018i | −0.965696 | − | 0.259677i | \(-0.916384\pi\) |
0.259677 | + | 0.965696i | \(0.416384\pi\) | |||||||
\(614\) | 0.169025 | + | 8.48344i | 0.00682128 | + | 0.342364i | ||||
\(615\) | −0.856292 | + | 12.2787i | −0.0345290 | + | 0.495124i | ||||
\(616\) | −1.10119 | − | 18.4035i | −0.0443680 | − | 0.741499i | ||||
\(617\) | 5.32574 | + | 5.32574i | 0.214406 | + | 0.214406i | 0.806136 | − | 0.591730i | \(-0.201555\pi\) |
−0.591730 | + | 0.806136i | \(0.701555\pi\) | |||||||
\(618\) | −6.18555 | − | 5.94388i | −0.248819 | − | 0.239098i | ||||
\(619\) | −4.51100 | −0.181312 | −0.0906562 | − | 0.995882i | \(-0.528896\pi\) | ||||
−0.0906562 | + | 0.995882i | \(0.528896\pi\) | |||||||
\(620\) | −4.24277 | − | 4.50333i | −0.170394 | − | 0.180858i | ||||
\(621\) | −11.3525 | −0.455558 | ||||||||
\(622\) | −3.34894 | − | 3.21810i | −0.134280 | − | 0.129034i | ||||
\(623\) | 8.44431 | + | 8.44431i | 0.338314 | + | 0.338314i | ||||
\(624\) | 18.5965 | − | 1.48502i | 0.744457 | − | 0.0594485i | ||||
\(625\) | −24.0367 | − | 6.87288i | −0.961468 | − | 0.274915i | ||||
\(626\) | 0.119033 | + | 5.97435i | 0.00475753 | + | 0.238783i | ||||
\(627\) | 2.75859 | − | 2.75859i | 0.110168 | − | 0.110168i | ||||
\(628\) | 27.6939 | − | 29.9936i | 1.10511 | − | 1.19687i | ||||
\(629\) | 8.52062i | 0.339739i | ||||||||
\(630\) | 6.77981 | + | 7.48964i | 0.270114 | + | 0.298394i | ||||
\(631\) | − | 5.20294i | − | 0.207126i | −0.994623 | − | 0.103563i | \(-0.966976\pi\) | ||
0.994623 | − | 0.103563i | \(-0.0330243\pi\) | |||||||
\(632\) | 11.0934 | + | 9.84078i | 0.441271 | + | 0.391445i | ||||
\(633\) | −5.44507 | + | 5.44507i | −0.216422 | + | 0.216422i | ||||
\(634\) | −10.9213 | + | 0.217597i | −0.433740 | + | 0.00864186i | ||||
\(635\) | 35.1014 | + | 2.44791i | 1.39296 | + | 0.0971422i | ||||
\(636\) | 0.338646 | + | 8.49502i | 0.0134282 | + | 0.336850i | ||||
\(637\) | 20.4512 | + | 20.4512i | 0.810304 | + | 0.810304i | ||||
\(638\) | 30.1558 | − | 31.3818i | 1.19388 | − | 1.24242i | ||||
\(639\) | 34.4216 | 1.36170 | ||||||||
\(640\) | 1.76501 | + | 25.2366i | 0.0697681 | + | 0.997563i | ||||
\(641\) | −3.06495 | −0.121058 | −0.0605290 | − | 0.998166i | \(-0.519279\pi\) | ||||
−0.0605290 | + | 0.998166i | \(0.519279\pi\) | |||||||
\(642\) | 16.0207 | − | 16.6721i | 0.632286 | − | 0.657993i | ||||
\(643\) | 14.6071 | + | 14.6071i | 0.576047 | + | 0.576047i | 0.933812 | − | 0.357764i | \(-0.116461\pi\) |
−0.357764 | + | 0.933812i | \(0.616461\pi\) | |||||||
\(644\) | 0.283938 | + | 7.12267i | 0.0111887 | + | 0.280673i | ||||
\(645\) | 9.28699 | − | 8.07612i | 0.365675 | − | 0.317997i | ||||
\(646\) | −2.45286 | + | 0.0488710i | −0.0965064 | + | 0.00192280i | ||||
\(647\) | −0.586994 | + | 0.586994i | −0.0230771 | + | 0.0230771i | −0.718551 | − | 0.695474i | \(-0.755194\pi\) |
0.695474 | + | 0.718551i | \(0.255194\pi\) | |||||||
\(648\) | 7.10176 | + | 6.29987i | 0.278984 | + | 0.247482i | ||||
\(649\) | − | 1.36949i | − | 0.0537571i | ||||||
\(650\) | 39.7621 | + | 4.76743i | 1.55960 | + | 0.186994i | ||||
\(651\) | − | 1.56763i | − | 0.0614403i | ||||||
\(652\) | 25.9216 | − | 28.0741i | 1.01517 | − | 1.09947i | ||||
\(653\) | −3.62988 | + | 3.62988i | −0.142048 | + | 0.142048i | −0.774555 | − | 0.632507i | \(-0.782026\pi\) |
0.632507 | + | 0.774555i | \(0.282026\pi\) | |||||||
\(654\) | 0.303538 | + | 15.2347i | 0.0118693 | + | 0.595724i | ||||
\(655\) | 7.71070 | − | 6.70536i | 0.301282 | − | 0.262000i | ||||
\(656\) | 26.6521 | − | 2.12830i | 1.04059 | − | 0.0830962i | ||||
\(657\) | −13.9555 | − | 13.9555i | −0.544454 | − | 0.544454i | ||||
\(658\) | 12.1597 | + | 11.6846i | 0.474035 | + | 0.455515i | ||||
\(659\) | −33.1760 | −1.29235 | −0.646177 | − | 0.763188i | \(-0.723633\pi\) | ||||
−0.646177 | + | 0.763188i | \(0.723633\pi\) | |||||||
\(660\) | −0.519534 | + | 17.4391i | −0.0202228 | + | 0.678818i | ||||
\(661\) | 14.2978 | 0.556121 | 0.278060 | − | 0.960564i | \(-0.410308\pi\) | ||||
0.278060 | + | 0.960564i | \(0.410308\pi\) | |||||||
\(662\) | 27.5982 | + | 26.5200i | 1.07264 | + | 1.03073i | ||||
\(663\) | −5.72112 | − | 5.72112i | −0.222190 | − | 0.222190i | ||||
\(664\) | −1.05606 | − | 17.6493i | −0.0409830 | − | 0.684927i | ||||
\(665\) | 3.06923 | + | 0.214042i | 0.119020 | + | 0.00830020i | ||||
\(666\) | −0.321267 | − | 16.1245i | −0.0124488 | − | 0.624813i | ||||
\(667\) | −11.8989 | + | 11.8989i | −0.460728 | + | 0.460728i | ||||
\(668\) | 23.9976 | + | 22.1577i | 0.928495 | + | 0.857306i | ||||
\(669\) | 20.6975i | 0.800213i | ||||||||
\(670\) | −10.6133 | + | 9.60746i | −0.410029 | + | 0.371168i | ||||
\(671\) | 21.9678i | 0.848057i | ||||||||
\(672\) | −4.05920 | + | 4.96063i | −0.156587 | + | 0.191360i | ||||
\(673\) | −11.6828 | + | 11.6828i | −0.450341 | + | 0.450341i | −0.895468 | − | 0.445127i | \(-0.853159\pi\) |
0.445127 | + | 0.895468i | \(0.353159\pi\) | |||||||
\(674\) | −14.0976 | + | 0.280881i | −0.543018 | + | 0.0108191i | ||||
\(675\) | −13.1941 | − | 17.4955i | −0.507840 | − | 0.673401i | ||||
\(676\) | −38.1198 | + | 1.51961i | −1.46615 | + | 0.0584465i | ||||
\(677\) | −27.7047 | − | 27.7047i | −1.06478 | − | 1.06478i | −0.997751 | − | 0.0670286i | \(-0.978648\pi\) |
−0.0670286 | − | 0.997751i | \(-0.521352\pi\) | |||||||
\(678\) | −0.673360 | + | 0.700738i | −0.0258602 | + | 0.0269117i | ||||
\(679\) | 6.11628 | 0.234721 | ||||||||
\(680\) | 7.83428 | − | 7.68128i | 0.300431 | − | 0.294564i | ||||
\(681\) | 7.90569 | 0.302947 | ||||||||
\(682\) | −6.42222 | + | 6.68333i | −0.245919 | + | 0.255918i | ||||
\(683\) | 17.0782 | + | 17.0782i | 0.653480 | + | 0.653480i | 0.953829 | − | 0.300349i | \(-0.0971032\pi\) |
−0.300349 | + | 0.953829i | \(0.597103\pi\) | |||||||
\(684\) | 4.63998 | − | 0.184968i | 0.177414 | − | 0.00707243i | ||||
\(685\) | 1.70454 | − | 24.4420i | 0.0651271 | − | 0.933881i | ||||
\(686\) | −23.5535 | + | 0.469283i | −0.899278 | + | 0.0179173i | ||||
\(687\) | −13.0991 | + | 13.0991i | −0.499762 | + | 0.499762i | ||||
\(688\) | −20.3490 | − | 17.3394i | −0.775797 | − | 0.661057i | ||||
\(689\) | − | 29.2344i | − | 1.11374i | ||||||
\(690\) | 0.335151 | − | 6.73739i | 0.0127590 | − | 0.256488i | ||||
\(691\) | 40.9903i | 1.55934i | 0.626188 | + | 0.779672i | \(0.284614\pi\) | ||||
−0.626188 | + | 0.779672i | \(0.715386\pi\) | |||||||
\(692\) | 22.5465 | + | 20.8178i | 0.857088 | + | 0.791373i | ||||
\(693\) | 10.7016 | − | 10.7016i | 0.406519 | − | 0.406519i | ||||
\(694\) | 0.253856 | + | 12.7411i | 0.00963623 | + | 0.483647i | ||||
\(695\) | 32.6090 | + | 37.4981i | 1.23693 | + | 1.42239i | ||||
\(696\) | −15.1043 | + | 0.903774i | −0.572527 | + | 0.0342575i | ||||
\(697\) | −8.19937 | − | 8.19937i | −0.310573 | − | 0.310573i | ||||
\(698\) | −2.32921 | − | 2.23821i | −0.0881619 | − | 0.0847175i | ||||
\(699\) | 22.5314 | 0.852216 | ||||||||
\(700\) | −10.6469 | + | 8.71572i | −0.402414 | + | 0.329423i | ||||
\(701\) | −14.1506 | −0.534461 | −0.267231 | − | 0.963633i | \(-0.586109\pi\) | ||||
−0.267231 | + | 0.963633i | \(0.586109\pi\) | |||||||
\(702\) | 25.3102 | + | 24.3213i | 0.955271 | + | 0.917949i | ||||
\(703\) | −3.47306 | − | 3.47306i | −0.130989 | − | 0.130989i | ||||
\(704\) | 37.6283 | − | 4.51920i | 1.41817 | − | 0.170324i | ||||
\(705\) | −10.4721 | − | 12.0422i | −0.394403 | − | 0.453536i | ||||
\(706\) | −0.683841 | − | 34.3223i | −0.0257367 | − | 1.29174i | ||||
\(707\) | 0.956277 | − | 0.956277i | 0.0359645 | − | 0.0359645i | ||||
\(708\) | −0.322995 | + | 0.349816i | −0.0121389 | + | 0.0131469i | ||||
\(709\) | 12.9874i | 0.487753i | 0.969806 | + | 0.243877i | \(0.0784192\pi\) | ||||
−0.969806 | + | 0.243877i | \(0.921581\pi\) | |||||||
\(710\) | −2.32922 | + | 46.8234i | −0.0874143 | + | 1.75725i | ||||
\(711\) | 12.1731i | 0.456529i | ||||||||
\(712\) | −16.2907 | + | 18.3643i | −0.610519 | + | 0.688230i | ||||
\(713\) | 2.53409 | − | 2.53409i | 0.0949025 | − | 0.0949025i | ||||
\(714\) | 2.77932 | − | 0.0553755i | 0.104014 | − | 0.00207237i | ||||
\(715\) | 4.17368 | − | 59.8480i | 0.156087 | − | 2.23819i | ||||
\(716\) | −0.366656 | − | 9.19766i | −0.0137026 | − | 0.343733i | ||||
\(717\) | −14.9315 | − | 14.9315i | −0.557629 | − | 0.557629i | ||||
\(718\) | −27.8259 | + | 28.9572i | −1.03845 | + | 1.08067i | ||||
\(719\) | −45.7262 | −1.70530 | −0.852649 | − | 0.522484i | \(-0.825005\pi\) | ||||
−0.852649 | + | 0.522484i | \(0.825005\pi\) | |||||||
\(720\) | −14.5361 | + | 14.8315i | −0.541728 | + | 0.552739i | ||||
\(721\) | −10.1351 | −0.377449 | ||||||||
\(722\) | 0.979881 | − | 1.01972i | 0.0364674 | − | 0.0379501i | ||||
\(723\) | 1.14004 | + | 1.14004i | 0.0423985 | + | 0.0423985i | ||||
\(724\) | 1.11711 | + | 28.0230i | 0.0415170 | + | 1.04147i | ||||
\(725\) | −32.1668 | − | 4.50843i | −1.19465 | − | 0.167439i | ||||
\(726\) | 13.3233 | − | 0.265455i | 0.494475 | − | 0.00985196i | ||||
\(727\) | −19.0449 | + | 19.0449i | −0.706336 | + | 0.706336i | −0.965763 | − | 0.259427i | \(-0.916466\pi\) |
0.259427 | + | 0.965763i | \(0.416466\pi\) | |||||||
\(728\) | 14.6265 | − | 16.4882i | 0.542093 | − | 0.611094i | ||||
\(729\) | − | 3.03429i | − | 0.112381i | ||||||
\(730\) | 19.9279 | − | 18.0392i | 0.737563 | − | 0.667660i | ||||
\(731\) | 11.5946i | 0.428842i | ||||||||
\(732\) | 5.18112 | − | 5.61135i | 0.191500 | − | 0.207402i | ||||
\(733\) | −31.4767 | + | 31.4767i | −1.16262 | + | 1.16262i | −0.178718 | + | 0.983900i | \(0.557195\pi\) |
−0.983900 | + | 0.178718i | \(0.942805\pi\) | |||||||
\(734\) | −0.0562302 | − | 2.82222i | −0.00207549 | − | 0.104170i | ||||
\(735\) | 9.38100 | + | 0.654213i | 0.346023 | + | 0.0241310i | ||||
\(736\) | −14.5806 | + | 1.45716i | −0.537450 | + | 0.0537116i | ||||
\(737\) | 15.1649 | + | 15.1649i | 0.558606 | + | 0.558606i | ||||
\(738\) | 15.8257 | + | 15.2074i | 0.582554 | + | 0.559793i | ||||
\(739\) | −53.0093 | −1.94998 | −0.974989 | − | 0.222254i | \(-0.928658\pi\) | ||||
−0.974989 | + | 0.222254i | \(0.928658\pi\) | |||||||
\(740\) | 21.9558 | + | 0.654092i | 0.807113 | + | 0.0240449i | ||||
\(741\) | 4.66393 | 0.171334 | ||||||||
\(742\) | 7.24253 | + | 6.95957i | 0.265882 | + | 0.255494i | ||||
\(743\) | 18.7441 | + | 18.7441i | 0.687655 | + | 0.687655i | 0.961713 | − | 0.274058i | \(-0.0883661\pi\) |
−0.274058 | + | 0.961713i | \(0.588366\pi\) | |||||||
\(744\) | 3.21673 | − | 0.192475i | 0.117931 | − | 0.00705648i | ||||
\(745\) | −24.5582 | + | 21.3563i | −0.899744 | + | 0.782433i | ||||
\(746\) | −0.406996 | − | 20.4273i | −0.0149012 | − | 0.747898i | ||||
\(747\) | 10.2630 | − | 10.2630i | 0.375504 | − | 0.375504i | ||||
\(748\) | −12.0760 | − | 11.1501i | −0.441544 | − | 0.407690i | ||||
\(749\) | − | 27.3172i | − | 0.998150i | ||||||
\(750\) | 10.7726 | − | 7.31385i | 0.393361 | − | 0.267064i | ||||
\(751\) | 12.1326i | 0.442724i | 0.975192 | + | 0.221362i | \(0.0710502\pi\) | ||||
−0.975192 | + | 0.221362i | \(0.928950\pi\) | |||||||
\(752\) | −22.4836 | + | 26.3860i | −0.819891 | + | 0.962200i | ||||
\(753\) | 2.05637 | − | 2.05637i | 0.0749383 | − | 0.0749383i | ||||
\(754\) | 52.0206 | − | 1.03646i | 1.89448 | − | 0.0377457i | ||||
\(755\) | 33.0053 | − | 28.7020i | 1.20119 | − | 1.04457i | ||||
\(756\) | −12.0507 | + | 0.480390i | −0.438280 | + | 0.0174716i | ||||
\(757\) | −13.7820 | − | 13.7820i | −0.500914 | − | 0.500914i | 0.410808 | − | 0.911722i | \(-0.365247\pi\) |
−0.911722 | + | 0.410808i | \(0.865247\pi\) | |||||||
\(758\) | −16.5467 | + | 17.2195i | −0.601003 | + | 0.625439i | ||||
\(759\) | −10.1056 | −0.366810 | ||||||||
\(760\) | −0.0623655 | + | 6.32425i | −0.00226223 | + | 0.229405i | ||||
\(761\) | 6.65971 | 0.241414 | 0.120707 | − | 0.992688i | \(-0.461484\pi\) | ||||
0.120707 | + | 0.992688i | \(0.461484\pi\) | |||||||
\(762\) | −12.6980 | + | 13.2143i | −0.460000 | + | 0.478703i | ||||
\(763\) | 12.7297 | + | 12.7297i | 0.460848 | + | 0.460848i | ||||
\(764\) | 2.66793 | − | 0.106354i | 0.0965224 | − | 0.00384777i | ||||
\(765\) | 8.98475 | + | 0.626579i | 0.324844 | + | 0.0226540i | ||||
\(766\) | −12.0566 | + | 0.240217i | −0.435623 | + | 0.00867938i | ||||
\(767\) | 1.15769 | − | 1.15769i | 0.0418018 | − | 0.0418018i | ||||
\(768\) | −10.6775 | − | 7.72030i | −0.385289 | − | 0.278582i | ||||
\(769\) | − | 39.7893i | − | 1.43484i | −0.696641 | − | 0.717420i | \(-0.745323\pi\) | ||
0.696641 | − | 0.717420i | \(-0.254677\pi\) | |||||||
\(770\) | 13.8331 | + | 15.2814i | 0.498512 | + | 0.550705i | ||||
\(771\) |