Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(3,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 10, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bv (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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 537.29 | ||
Character | \(\chi\) | \(=\) | 770.537 |
Dual form | 770.2.bv.a.423.29 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0523360 | − | 0.998630i | 0.0370071 | − | 0.706138i | ||||
\(3\) | −0.798767 | − | 2.08086i | −0.461169 | − | 1.20139i | −0.945246 | − | 0.326360i | \(-0.894178\pi\) |
0.484077 | − | 0.875025i | \(-0.339155\pi\) | |||||||
\(4\) | −0.994522 | − | 0.104528i | −0.497261 | − | 0.0522642i | ||||
\(5\) | 1.05151 | + | 1.97341i | 0.470248 | + | 0.882534i | ||||
\(6\) | −2.11981 | + | 0.688769i | −0.865410 | + | 0.281189i | ||||
\(7\) | −2.58843 | − | 0.547767i | −0.978333 | − | 0.207037i | ||||
\(8\) | −0.156434 | + | 0.987688i | −0.0553079 | + | 0.349201i | ||||
\(9\) | −1.46252 | + | 1.31686i | −0.487505 | + | 0.438952i | ||||
\(10\) | 2.02573 | − | 0.946785i | 0.640593 | − | 0.299400i | ||||
\(11\) | −3.30764 | − | 0.243981i | −0.997291 | − | 0.0735631i | ||||
\(12\) | 0.576883 | + | 2.15296i | 0.166532 | + | 0.621505i | ||||
\(13\) | −1.09645 | + | 0.558667i | −0.304099 | + | 0.154946i | −0.599381 | − | 0.800464i | \(-0.704587\pi\) |
0.295282 | + | 0.955410i | \(0.404587\pi\) | |||||||
\(14\) | −0.682484 | + | 2.55621i | −0.182402 | + | 0.683176i | ||||
\(15\) | 3.26647 | − | 3.76433i | 0.843400 | − | 0.971946i | ||||
\(16\) | 0.978148 | + | 0.207912i | 0.244537 | + | 0.0519779i | ||||
\(17\) | 0.404210 | + | 7.71279i | 0.0980354 | + | 1.87063i | 0.398946 | + | 0.916974i | \(0.369376\pi\) |
−0.300911 | + | 0.953652i | \(0.597291\pi\) | |||||||
\(18\) | 1.23851 | + | 1.52943i | 0.291919 | + | 0.360490i | ||||
\(19\) | −0.691534 | − | 6.57950i | −0.158649 | − | 1.50944i | −0.726990 | − | 0.686648i | \(-0.759081\pi\) |
0.568341 | − | 0.822793i | \(-0.307585\pi\) | |||||||
\(20\) | −0.839469 | − | 2.07251i | −0.187711 | − | 0.463427i | ||||
\(21\) | 0.927724 | + | 5.82369i | 0.202446 | + | 1.27083i | ||||
\(22\) | −0.416755 | + | 3.29034i | −0.0888525 | + | 0.701502i | ||||
\(23\) | 2.13119 | + | 7.95372i | 0.444385 | + | 1.65847i | 0.717556 | + | 0.696501i | \(0.245261\pi\) |
−0.273171 | + | 0.961965i | \(0.588073\pi\) | |||||||
\(24\) | 2.18020 | − | 0.463415i | 0.445031 | − | 0.0945942i | ||||
\(25\) | −2.78867 | + | 4.15010i | −0.557734 | + | 0.830020i | ||||
\(26\) | 0.500518 | + | 1.12418i | 0.0981597 | + | 0.220470i | ||||
\(27\) | −2.04950 | − | 1.04427i | −0.394426 | − | 0.200970i | ||||
\(28\) | 2.51699 | + | 0.815331i | 0.475666 | + | 0.154083i | ||||
\(29\) | 0.0506664 | − | 0.0697363i | 0.00940852 | − | 0.0129497i | −0.804287 | − | 0.594241i | \(-0.797452\pi\) |
0.813695 | + | 0.581292i | \(0.197452\pi\) | |||||||
\(30\) | −3.58822 | − | 3.45901i | −0.655116 | − | 0.631526i | ||||
\(31\) | 1.46780 | + | 6.90545i | 0.263624 | + | 1.24025i | 0.888261 | + | 0.459339i | \(0.151914\pi\) |
−0.624637 | + | 0.780915i | \(0.714753\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 2.13434 | + | 7.07762i | 0.371542 | + | 1.23206i | ||||
\(34\) | 7.72338 | 1.32455 | ||||||||
\(35\) | −1.64078 | − | 5.68400i | −0.277342 | − | 0.960771i | ||||
\(36\) | 1.59215 | − | 1.15677i | 0.265359 | − | 0.192795i | ||||
\(37\) | −8.35863 | − | 3.20858i | −1.37415 | − | 0.527487i | −0.444449 | − | 0.895804i | \(-0.646601\pi\) |
−0.929700 | + | 0.368317i | \(0.879934\pi\) | |||||||
\(38\) | −6.60668 | + | 0.346241i | −1.07174 | + | 0.0561678i | ||||
\(39\) | 2.03831 | + | 1.83531i | 0.326392 | + | 0.293884i | ||||
\(40\) | −2.11360 | + | 0.729852i | −0.334190 | + | 0.115400i | ||||
\(41\) | 2.67042 | + | 3.67551i | 0.417049 | + | 0.574019i | 0.964920 | − | 0.262544i | \(-0.0845615\pi\) |
−0.547871 | + | 0.836563i | \(0.684561\pi\) | |||||||
\(42\) | 5.86426 | − | 0.621664i | 0.904876 | − | 0.0959248i | ||||
\(43\) | 2.42512 | − | 2.42512i | 0.369827 | − | 0.369827i | −0.497587 | − | 0.867414i | \(-0.665780\pi\) |
0.867414 | + | 0.497587i | \(0.165780\pi\) | |||||||
\(44\) | 3.26402 | + | 0.588387i | 0.492069 | + | 0.0887027i | ||||
\(45\) | −4.13654 | − | 1.50146i | −0.616639 | − | 0.223824i | ||||
\(46\) | 8.05436 | − | 1.71201i | 1.18755 | − | 0.252422i | ||||
\(47\) | −3.93579 | − | 3.18714i | −0.574094 | − | 0.464892i | 0.297772 | − | 0.954637i | \(-0.403757\pi\) |
−0.871866 | + | 0.489745i | \(0.837090\pi\) | |||||||
\(48\) | −0.348677 | − | 2.20146i | −0.0503272 | − | 0.317754i | ||||
\(49\) | 6.39990 | + | 2.83571i | 0.914272 | + | 0.405102i | ||||
\(50\) | 3.99846 | + | 3.00205i | 0.565468 | + | 0.424553i | ||||
\(51\) | 15.7264 | − | 7.00183i | 2.20213 | − | 0.980453i | ||||
\(52\) | 1.14884 | − | 0.440997i | 0.159315 | − | 0.0611553i | ||||
\(53\) | −2.14960 | + | 3.31010i | −0.295271 | + | 0.454677i | −0.954906 | − | 0.296909i | \(-0.904044\pi\) |
0.659635 | + | 0.751586i | \(0.270711\pi\) | |||||||
\(54\) | −1.15010 | + | 1.99204i | −0.156509 | + | 0.271082i | ||||
\(55\) | −2.99653 | − | 6.78386i | −0.404052 | − | 0.914736i | ||||
\(56\) | 0.945942 | − | 2.47087i | 0.126407 | − | 0.330184i | ||||
\(57\) | −13.1387 | + | 6.69448i | −1.74026 | + | 0.886705i | ||||
\(58\) | −0.0669891 | − | 0.0542467i | −0.00879610 | − | 0.00712294i | ||||
\(59\) | −0.587019 | + | 5.58511i | −0.0764233 | + | 0.727119i | 0.887476 | + | 0.460853i | \(0.152457\pi\) |
−0.963900 | + | 0.266266i | \(0.914210\pi\) | |||||||
\(60\) | −3.64206 | + | 3.40227i | −0.470188 | + | 0.439231i | ||||
\(61\) | 2.21078 | − | 10.4009i | 0.283061 | − | 1.33170i | −0.575000 | − | 0.818153i | \(-0.694998\pi\) |
0.858062 | − | 0.513546i | \(-0.171669\pi\) | |||||||
\(62\) | 6.97280 | − | 1.10438i | 0.885547 | − | 0.140257i | ||||
\(63\) | 4.50695 | − | 2.60746i | 0.567822 | − | 0.328510i | ||||
\(64\) | −0.951057 | − | 0.309017i | −0.118882 | − | 0.0386271i | ||||
\(65\) | −2.25540 | − | 1.57629i | −0.279748 | − | 0.195515i | ||||
\(66\) | 7.17962 | − | 1.76100i | 0.883750 | − | 0.216765i | ||||
\(67\) | −3.22223 | + | 12.0255i | −0.393658 | + | 1.46915i | 0.430397 | + | 0.902640i | \(0.358374\pi\) |
−0.824054 | + | 0.566511i | \(0.808293\pi\) | |||||||
\(68\) | 0.404210 | − | 7.71279i | 0.0490177 | − | 0.935313i | ||||
\(69\) | 14.8483 | − | 10.7879i | 1.78752 | − | 1.29871i | ||||
\(70\) | −5.76208 | + | 1.34105i | −0.688700 | + | 0.160287i | ||||
\(71\) | −3.42723 | − | 10.5479i | −0.406737 | − | 1.25181i | −0.919436 | − | 0.393239i | \(-0.871354\pi\) |
0.512699 | − | 0.858568i | \(-0.328646\pi\) | |||||||
\(72\) | −1.07185 | − | 1.65051i | −0.126319 | − | 0.194515i | ||||
\(73\) | 0.806350 | − | 0.652969i | 0.0943761 | − | 0.0764242i | −0.580971 | − | 0.813924i | \(-0.697327\pi\) |
0.675347 | + | 0.737500i | \(0.263994\pi\) | |||||||
\(74\) | −3.64164 | + | 8.17925i | −0.423332 | + | 0.950818i | ||||
\(75\) | 10.8633 | + | 2.48786i | 1.25438 | + | 0.287274i | ||||
\(76\) | 6.61574i | 0.758878i | ||||||||
\(77\) | 8.42793 | + | 2.44334i | 0.960452 | + | 0.278445i | ||||
\(78\) | 1.93947 | − | 1.93947i | 0.219602 | − | 0.219602i | ||||
\(79\) | 1.17312 | − | 1.05628i | 0.131986 | − | 0.118841i | −0.600494 | − | 0.799629i | \(-0.705029\pi\) |
0.732480 | + | 0.680788i | \(0.238363\pi\) | |||||||
\(80\) | 0.618234 | + | 2.14890i | 0.0691207 | + | 0.240255i | ||||
\(81\) | −1.15305 | + | 10.9705i | −0.128117 | + | 1.21895i | ||||
\(82\) | 3.81024 | − | 2.47440i | 0.420770 | − | 0.273251i | ||||
\(83\) | 1.33387 | − | 2.61787i | 0.146411 | − | 0.287348i | −0.806141 | − | 0.591724i | \(-0.798448\pi\) |
0.952552 | + | 0.304375i | \(0.0984477\pi\) | |||||||
\(84\) | −0.313900 | − | 5.88876i | −0.0342493 | − | 0.642517i | ||||
\(85\) | −14.7954 | + | 8.90772i | −1.60479 | + | 0.966178i | ||||
\(86\) | −2.29488 | − | 2.54872i | −0.247463 | − | 0.274835i | ||||
\(87\) | −0.185582 | − | 0.0497266i | −0.0198965 | − | 0.00533125i | ||||
\(88\) | 0.758406 | − | 3.22875i | 0.0808463 | − | 0.344186i | ||||
\(89\) | −4.13544 | + | 7.16280i | −0.438356 | + | 0.759255i | −0.997563 | − | 0.0697732i | \(-0.977772\pi\) |
0.559207 | + | 0.829028i | \(0.311106\pi\) | |||||||
\(90\) | −1.71589 | + | 4.05229i | −0.180871 | + | 0.427149i | ||||
\(91\) | 3.14409 | − | 0.845472i | 0.329590 | − | 0.0886295i | ||||
\(92\) | −1.28813 | − | 8.13292i | −0.134297 | − | 0.847916i | ||||
\(93\) | 13.1968 | − | 8.57013i | 1.36845 | − | 0.888681i | ||||
\(94\) | −3.38876 | + | 3.76359i | −0.349523 | + | 0.388185i | ||||
\(95\) | 12.2569 | − | 8.28307i | 1.25753 | − | 0.849825i | ||||
\(96\) | −2.21669 | + | 0.232984i | −0.226240 | + | 0.0237788i | ||||
\(97\) | −3.88182 | − | 7.61850i | −0.394139 | − | 0.773541i | 0.605614 | − | 0.795758i | \(-0.292927\pi\) |
−0.999753 | + | 0.0222171i | \(0.992927\pi\) | |||||||
\(98\) | 3.16677 | − | 6.24272i | 0.319892 | − | 0.630610i | ||||
\(99\) | 5.15876 | − | 3.99886i | 0.518475 | − | 0.401900i | ||||
\(100\) | 3.20719 | − | 3.83587i | 0.320719 | − | 0.383587i | ||||
\(101\) | −2.70910 | − | 12.7453i | −0.269565 | − | 1.26820i | −0.879556 | − | 0.475796i | \(-0.842160\pi\) |
0.609991 | − | 0.792409i | \(-0.291173\pi\) | |||||||
\(102\) | −6.16918 | − | 16.0713i | −0.610840 | − | 1.59129i | ||||
\(103\) | −2.49890 | − | 0.959239i | −0.246224 | − | 0.0945166i | 0.232126 | − | 0.972686i | \(-0.425432\pi\) |
−0.478350 | + | 0.878169i | \(0.658765\pi\) | |||||||
\(104\) | −0.380267 | − | 1.17034i | −0.0372883 | − | 0.114761i | ||||
\(105\) | −10.5170 | + | 7.95443i | −1.02635 | + | 0.776273i | ||||
\(106\) | 3.19306 | + | 2.31990i | 0.310138 | + | 0.225328i | ||||
\(107\) | −6.53172 | + | 8.06601i | −0.631446 | + | 0.779770i | −0.987992 | − | 0.154507i | \(-0.950621\pi\) |
0.356546 | + | 0.934278i | \(0.383954\pi\) | |||||||
\(108\) | 1.92912 | + | 1.25278i | 0.185629 | + | 0.120549i | ||||
\(109\) | −6.64522 | + | 3.83662i | −0.636497 | + | 0.367482i | −0.783264 | − | 0.621689i | \(-0.786447\pi\) |
0.146767 | + | 0.989171i | \(0.453113\pi\) | |||||||
\(110\) | −6.93139 | + | 2.63738i | −0.660882 | + | 0.251465i | ||||
\(111\) | 19.9560i | 1.89414i | ||||||||
\(112\) | −2.41798 | − | 1.07396i | −0.228477 | − | 0.101480i | ||||
\(113\) | −0.944760 | + | 5.96498i | −0.0888756 | + | 0.561138i | 0.902562 | + | 0.430559i | \(0.141684\pi\) |
−0.991438 | + | 0.130579i | \(0.958316\pi\) | |||||||
\(114\) | 5.99768 | + | 13.4710i | 0.561734 | + | 1.26168i | ||||
\(115\) | −13.4550 | + | 12.5691i | −1.25468 | + | 1.17208i | ||||
\(116\) | −0.0576783 | + | 0.0640582i | −0.00535529 | + | 0.00594766i | ||||
\(117\) | 0.867886 | − | 2.26092i | 0.0802361 | − | 0.209022i | ||||
\(118\) | 5.54673 | + | 0.878516i | 0.510618 | + | 0.0808740i | ||||
\(119\) | 3.17855 | − | 20.1854i | 0.291377 | − | 1.85039i | ||||
\(120\) | 3.20700 | + | 3.81513i | 0.292757 | + | 0.348272i | ||||
\(121\) | 10.8809 | + | 1.61400i | 0.989177 | + | 0.146728i | ||||
\(122\) | −10.2709 | − | 2.75209i | −0.929888 | − | 0.249163i | ||||
\(123\) | 5.51519 | − | 8.49265i | 0.497288 | − | 0.765756i | ||||
\(124\) | −0.737941 | − | 7.02104i | −0.0662691 | − | 0.630508i | ||||
\(125\) | −11.1221 | − | 1.13932i | −0.994794 | − | 0.101904i | ||||
\(126\) | −2.36802 | − | 4.63723i | −0.210960 | − | 0.413118i | ||||
\(127\) | −6.53232 | + | 12.8204i | −0.579650 | + | 1.13763i | 0.395991 | + | 0.918254i | \(0.370401\pi\) |
−0.975641 | + | 0.219373i | \(0.929599\pi\) | |||||||
\(128\) | −0.358368 | + | 0.933580i | −0.0316756 | + | 0.0825176i | ||||
\(129\) | −6.98344 | − | 3.10923i | −0.614858 | − | 0.273752i | ||||
\(130\) | −1.69217 | + | 2.16981i | −0.148413 | + | 0.190305i | ||||
\(131\) | −6.71345 | − | 3.87601i | −0.586557 | − | 0.338649i | 0.177178 | − | 0.984179i | \(-0.443303\pi\) |
−0.763735 | + | 0.645530i | \(0.776636\pi\) | |||||||
\(132\) | −1.38284 | − | 7.26195i | −0.120361 | − | 0.632071i | ||||
\(133\) | −1.81405 | + | 17.4094i | −0.157298 | + | 1.50958i | ||||
\(134\) | 11.8404 | + | 3.84718i | 1.02285 | + | 0.332346i | ||||
\(135\) | −0.0942885 | − | 5.14255i | −0.00811506 | − | 0.442601i | ||||
\(136\) | −7.68107 | − | 0.807313i | −0.658646 | − | 0.0692265i | ||||
\(137\) | −14.3782 | + | 0.753529i | −1.22841 | + | 0.0643783i | −0.655472 | − | 0.755219i | \(-0.727530\pi\) |
−0.572940 | + | 0.819598i | \(0.694197\pi\) | |||||||
\(138\) | −9.99601 | − | 15.3925i | −0.850917 | − | 1.31030i | ||||
\(139\) | −2.50567 | − | 1.82047i | −0.212528 | − | 0.154410i | 0.476429 | − | 0.879213i | \(-0.341931\pi\) |
−0.688957 | + | 0.724803i | \(0.741931\pi\) | |||||||
\(140\) | 1.03765 | + | 5.82437i | 0.0876976 | + | 0.492249i | ||||
\(141\) | −3.48821 | + | 10.7356i | −0.293760 | + | 0.904102i | ||||
\(142\) | −10.7128 | + | 2.87049i | −0.899001 | + | 0.240886i | ||||
\(143\) | 3.76295 | − | 1.58036i | 0.314674 | − | 0.132156i | ||||
\(144\) | −1.70435 | + | 0.984005i | −0.142029 | + | 0.0820004i | ||||
\(145\) | 0.190894 | + | 0.0266572i | 0.0158529 | + | 0.00221376i | ||||
\(146\) | −0.609873 | − | 0.839418i | −0.0504735 | − | 0.0694708i | ||||
\(147\) | 0.788684 | − | 15.5824i | 0.0650496 | − | 1.28521i | ||||
\(148\) | 7.97745 | + | 4.06471i | 0.655742 | + | 0.334117i | ||||
\(149\) | −2.39566 | + | 11.2707i | −0.196260 | + | 0.923331i | 0.764214 | + | 0.644962i | \(0.223127\pi\) |
−0.960474 | + | 0.278368i | \(0.910206\pi\) | |||||||
\(150\) | 3.05299 | − | 10.7182i | 0.249276 | − | 0.875136i | ||||
\(151\) | −5.20294 | − | 2.31650i | −0.423409 | − | 0.188514i | 0.183960 | − | 0.982934i | \(-0.441108\pi\) |
−0.607369 | + | 0.794420i | \(0.707775\pi\) | |||||||
\(152\) | 6.60668 | + | 0.346241i | 0.535872 | + | 0.0280839i | ||||
\(153\) | −10.7478 | − | 10.7478i | −0.868908 | − | 0.868908i | ||||
\(154\) | 2.88108 | − | 8.28851i | 0.232164 | − | 0.667907i | ||||
\(155\) | −12.0839 | + | 10.1577i | −0.970598 | + | 0.815885i | ||||
\(156\) | −1.83531 | − | 2.03831i | −0.146942 | − | 0.163196i | ||||
\(157\) | 2.32996 | − | 0.894389i | 0.185951 | − | 0.0713800i | −0.263611 | − | 0.964629i | \(-0.584913\pi\) |
0.449562 | + | 0.893249i | \(0.351580\pi\) | |||||||
\(158\) | −0.993437 | − | 1.22679i | −0.0790336 | − | 0.0975983i | ||||
\(159\) | 8.60489 | + | 1.82903i | 0.682412 | + | 0.145051i | ||||
\(160\) | 2.17831 | − | 0.504922i | 0.172211 | − | 0.0399176i | ||||
\(161\) | −1.15965 | − | 21.7550i | −0.0913931 | − | 1.71454i | ||||
\(162\) | 10.8952 | + | 1.72562i | 0.856004 | + | 0.135578i | ||||
\(163\) | −19.6411 | − | 1.02935i | −1.53841 | − | 0.0806247i | −0.735829 | − | 0.677168i | \(-0.763207\pi\) |
−0.802581 | + | 0.596543i | \(0.796541\pi\) | |||||||
\(164\) | −2.27159 | − | 3.93451i | −0.177382 | − | 0.307234i | ||||
\(165\) | −11.7227 | + | 11.6541i | −0.912614 | + | 0.907270i | ||||
\(166\) | −2.54447 | − | 1.46905i | −0.197489 | − | 0.114020i | ||||
\(167\) | −2.25840 | − | 4.43236i | −0.174760 | − | 0.342986i | 0.786967 | − | 0.616995i | \(-0.211650\pi\) |
−0.961727 | + | 0.274009i | \(0.911650\pi\) | |||||||
\(168\) | −5.89712 | + | 0.00527548i | −0.454973 | + | 0.000407012i | ||||
\(169\) | −6.75112 | + | 9.29212i | −0.519317 | + | 0.714779i | ||||
\(170\) | 8.12118 | + | 15.2414i | 0.622866 | + | 1.16896i | ||||
\(171\) | 9.67563 | + | 8.71198i | 0.739914 | + | 0.666222i | ||||
\(172\) | −2.66533 | + | 2.15834i | −0.203229 | + | 0.164572i | ||||
\(173\) | 3.87708 | − | 4.78779i | 0.294769 | − | 0.364009i | −0.608149 | − | 0.793823i | \(-0.708088\pi\) |
0.902917 | + | 0.429814i | \(0.141421\pi\) | |||||||
\(174\) | −0.0593711 | + | 0.182725i | −0.00450091 | + | 0.0138524i | ||||
\(175\) | 9.49155 | − | 9.21469i | 0.717494 | − | 0.696565i | ||||
\(176\) | −3.18463 | − | 0.926346i | −0.240051 | − | 0.0698260i | ||||
\(177\) | 12.0907 | − | 3.23970i | 0.908795 | − | 0.243511i | ||||
\(178\) | 6.93655 | + | 4.50465i | 0.519916 | + | 0.337638i | ||||
\(179\) | −6.14209 | + | 13.7954i | −0.459081 | + | 1.03111i | 0.524626 | + | 0.851333i | \(0.324205\pi\) |
−0.983707 | + | 0.179780i | \(0.942461\pi\) | |||||||
\(180\) | 3.95693 | + | 1.92562i | 0.294932 | + | 0.143527i | ||||
\(181\) | 9.00581 | − | 2.92617i | 0.669397 | − | 0.217500i | 0.0454494 | − | 0.998967i | \(-0.485528\pi\) |
0.623947 | + | 0.781466i | \(0.285528\pi\) | |||||||
\(182\) | −0.679764 | − | 3.18403i | −0.0503875 | − | 0.236016i | ||||
\(183\) | −23.4087 | + | 3.70758i | −1.73042 | + | 0.274072i | ||||
\(184\) | −8.18919 | + | 0.860719i | −0.603715 | + | 0.0634530i | ||||
\(185\) | −2.45732 | − | 19.8688i | −0.180666 | − | 1.46078i | ||||
\(186\) | −7.86771 | − | 13.6273i | −0.576889 | − | 0.999201i | ||||
\(187\) | 0.544794 | − | 25.6097i | 0.0398393 | − | 1.87277i | ||||
\(188\) | 3.58108 | + | 3.58108i | 0.261177 | + | 0.261177i | ||||
\(189\) | 4.73296 | + | 3.82567i | 0.344272 | + | 0.278277i | ||||
\(190\) | −7.63024 | − | 12.6736i | −0.553556 | − | 0.919439i | ||||
\(191\) | 11.1487 | − | 4.96370i | 0.806688 | − | 0.359161i | 0.0383982 | − | 0.999263i | \(-0.487774\pi\) |
0.768290 | + | 0.640102i | \(0.221108\pi\) | |||||||
\(192\) | 0.116652 | + | 2.22585i | 0.00841862 | + | 0.160637i | ||||
\(193\) | 0.224873 | + | 4.29083i | 0.0161867 | + | 0.308861i | 0.994710 | + | 0.102724i | \(0.0327558\pi\) |
−0.978523 | + | 0.206137i | \(0.933911\pi\) | |||||||
\(194\) | −7.81122 | + | 3.47778i | −0.560813 | + | 0.249690i | ||||
\(195\) | −1.47851 | + | 5.95226i | −0.105878 | + | 0.426250i | ||||
\(196\) | −6.06843 | − | 3.48915i | −0.433459 | − | 0.249225i | ||||
\(197\) | 6.36388 | + | 6.36388i | 0.453408 | + | 0.453408i | 0.896484 | − | 0.443076i | \(-0.146113\pi\) |
−0.443076 | + | 0.896484i | \(0.646113\pi\) | |||||||
\(198\) | −3.72339 | − | 5.36098i | −0.264610 | − | 0.380988i | ||||
\(199\) | −12.5918 | − | 21.8097i | −0.892612 | − | 1.54605i | −0.836733 | − | 0.547611i | \(-0.815537\pi\) |
−0.0558787 | − | 0.998438i | \(-0.517796\pi\) | |||||||
\(200\) | −3.66276 | − | 3.40355i | −0.258996 | − | 0.240668i | ||||
\(201\) | 27.5972 | − | 2.90059i | 1.94656 | − | 0.204592i | ||||
\(202\) | −12.8696 | + | 2.03835i | −0.905503 | + | 0.143418i | ||||
\(203\) | −0.169346 | + | 0.152754i | −0.0118857 | + | 0.0107212i | ||||
\(204\) | −16.3721 | + | 5.31962i | −1.14628 | + | 0.372448i | ||||
\(205\) | −4.44532 | + | 9.13465i | −0.310475 | + | 0.637991i | ||||
\(206\) | −1.08871 | + | 2.44527i | −0.0758538 | + | 0.170370i | ||||
\(207\) | −13.5908 | − | 8.82598i | −0.944627 | − | 0.613448i | ||||
\(208\) | −1.18864 | + | 0.318495i | −0.0824173 | + | 0.0220837i | ||||
\(209\) | 0.682069 | + | 21.9313i | 0.0471797 | + | 1.51702i | ||||
\(210\) | 7.39311 | + | 10.9189i | 0.510173 | + | 0.753475i | ||||
\(211\) | 0.704694 | − | 2.16883i | 0.0485132 | − | 0.149308i | −0.923865 | − | 0.382718i | \(-0.874988\pi\) |
0.972379 | + | 0.233409i | \(0.0749882\pi\) | |||||||
\(212\) | 2.48383 | − | 3.06727i | 0.170590 | − | 0.210661i | ||||
\(213\) | −19.2112 | + | 15.5569i | −1.31633 | + | 1.06594i | ||||
\(214\) | 7.71311 | + | 6.94492i | 0.527257 | + | 0.474745i | ||||
\(215\) | 7.33578 | + | 2.23572i | 0.500296 | + | 0.152475i | ||||
\(216\) | 1.35203 | − | 1.86091i | 0.0919938 | − | 0.126619i | ||||
\(217\) | −0.0167093 | − | 18.6782i | −0.00113430 | − | 1.26796i | ||||
\(218\) | 3.48358 | + | 6.83691i | 0.235938 | + | 0.463054i | ||||
\(219\) | −2.00282 | − | 1.15633i | −0.135338 | − | 0.0781376i | ||||
\(220\) | 2.27101 | + | 7.05992i | 0.153111 | + | 0.475980i | ||||
\(221\) | −4.75208 | − | 8.23084i | −0.319659 | − | 0.553666i | ||||
\(222\) | 19.9287 | + | 1.04442i | 1.33753 | + | 0.0700968i | ||||
\(223\) | 3.23067 | + | 0.511688i | 0.216342 | + | 0.0342652i | 0.263664 | − | 0.964615i | \(-0.415069\pi\) |
−0.0473226 | + | 0.998880i | \(0.515069\pi\) | |||||||
\(224\) | −1.19904 | + | 2.35846i | −0.0801140 | + | 0.157581i | ||||
\(225\) | −1.38661 | − | 9.74186i | −0.0924407 | − | 0.649457i | ||||
\(226\) | 5.90736 | + | 1.25565i | 0.392952 | + | 0.0835245i | ||||
\(227\) | 7.98301 | + | 9.85819i | 0.529851 | + | 0.654311i | 0.969854 | − | 0.243685i | \(-0.0783562\pi\) |
−0.440004 | + | 0.897996i | \(0.645023\pi\) | |||||||
\(228\) | 13.7664 | − | 5.28444i | 0.911705 | − | 0.349971i | ||||
\(229\) | 14.7752 | + | 16.4095i | 0.976371 | + | 1.08437i | 0.996417 | + | 0.0845707i | \(0.0269519\pi\) |
−0.0200466 | + | 0.999799i | \(0.506381\pi\) | |||||||
\(230\) | 11.8477 | + | 14.0943i | 0.781214 | + | 0.929354i | ||||
\(231\) | −1.64770 | − | 19.4890i | −0.108411 | − | 1.28228i | ||||
\(232\) | 0.0609518 | + | 0.0609518i | 0.00400168 | + | 0.00400168i | ||||
\(233\) | 28.5545 | + | 1.49648i | 1.87067 | + | 0.0980377i | 0.953671 | − | 0.300851i | \(-0.0972706\pi\) |
0.916999 | + | 0.398888i | \(0.130604\pi\) | |||||||
\(234\) | −2.21240 | − | 0.985024i | −0.144629 | − | 0.0643931i | ||||
\(235\) | 2.15101 | − | 11.1182i | 0.140317 | − | 0.725272i | ||||
\(236\) | 1.16761 | − | 5.49315i | 0.0760047 | − | 0.357574i | ||||
\(237\) | −3.13502 | − | 1.59737i | −0.203641 | − | 0.103761i | ||||
\(238\) | −19.9914 | − | 4.23061i | −1.29585 | − | 0.274230i | ||||
\(239\) | −5.17261 | − | 7.11949i | −0.334588 | − | 0.460522i | 0.608263 | − | 0.793736i | \(-0.291867\pi\) |
−0.942851 | + | 0.333214i | \(0.891867\pi\) | |||||||
\(240\) | 3.97774 | − | 3.00293i | 0.256762 | − | 0.193839i | ||||
\(241\) | 3.06616 | − | 1.77025i | 0.197509 | − | 0.114032i | −0.397984 | − | 0.917392i | \(-0.630290\pi\) |
0.595493 | + | 0.803361i | \(0.296957\pi\) | |||||||
\(242\) | 2.18126 | − | 10.7816i | 0.140216 | − | 0.693065i | ||||
\(243\) | 17.0837 | − | 4.57756i | 1.09592 | − | 0.293651i | ||||
\(244\) | −3.28586 | + | 10.1128i | −0.210356 | + | 0.647408i | ||||
\(245\) | 1.13353 | + | 15.6114i | 0.0724185 | + | 0.997374i | ||||
\(246\) | −8.19237 | − | 5.95210i | −0.522326 | − | 0.379492i | ||||
\(247\) | 4.43398 | + | 6.82773i | 0.282128 | + | 0.434438i | ||||
\(248\) | −7.05004 | + | 0.369477i | −0.447678 | + | 0.0234618i | ||||
\(249\) | −6.51287 | − | 0.684530i | −0.412736 | − | 0.0433803i | ||||
\(250\) | −1.71984 | + | 11.0473i | −0.108773 | + | 0.698691i | ||||
\(251\) | 8.37125 | + | 2.71998i | 0.528388 | + | 0.171684i | 0.561049 | − | 0.827783i | \(-0.310398\pi\) |
−0.0326605 | + | 0.999467i | \(0.510398\pi\) | |||||||
\(252\) | −4.75481 | + | 2.12208i | −0.299525 | + | 0.133678i | ||||
\(253\) | −5.10866 | − | 26.8280i | −0.321179 | − | 1.68666i | ||||
\(254\) | 12.4610 | + | 7.19434i | 0.781870 | + | 0.451413i | ||||
\(255\) | 30.3538 | + | 23.6721i | 1.90083 | + | 1.48240i | ||||
\(256\) | 0.913545 | + | 0.406737i | 0.0570966 | + | 0.0254210i | ||||
\(257\) | 3.48731 | − | 9.08476i | 0.217533 | − | 0.566692i | −0.780777 | − | 0.624810i | \(-0.785177\pi\) |
0.998310 | + | 0.0581179i | \(0.0185099\pi\) | |||||||
\(258\) | −3.47045 | + | 6.81115i | −0.216061 | + | 0.424044i | ||||
\(259\) | 19.8781 | + | 12.8837i | 1.23517 | + | 0.800557i | ||||
\(260\) | 2.07828 | + | 1.80341i | 0.128889 | + | 0.111843i | ||||
\(261\) | 0.0177322 | + | 0.168711i | 0.00109760 | + | 0.0104429i | ||||
\(262\) | −4.22205 | + | 6.50139i | −0.260839 | + | 0.401657i | ||||
\(263\) | 18.6269 | + | 4.99105i | 1.14858 | + | 0.307762i | 0.782397 | − | 0.622780i | \(-0.213997\pi\) |
0.366185 | + | 0.930542i | \(0.380664\pi\) | |||||||
\(264\) | −7.32437 | + | 1.00088i | −0.450784 | + | 0.0616001i | ||||
\(265\) | −8.79250 | − | 0.761452i | −0.540119 | − | 0.0467756i | ||||
\(266\) | 17.2906 | + | 2.72270i | 1.06015 | + | 0.166940i | ||||
\(267\) | 18.2080 | + | 2.88387i | 1.11431 | + | 0.176490i | ||||
\(268\) | 4.46158 | − | 11.6228i | 0.272535 | − | 0.709977i | ||||
\(269\) | 20.2850 | − | 22.5288i | 1.23680 | − | 1.37360i | 0.334554 | − | 0.942377i | \(-0.391414\pi\) |
0.902244 | − | 0.431226i | \(-0.141919\pi\) | |||||||
\(270\) | −5.14044 | − | 0.174981i | −0.312837 | − | 0.0106490i | ||||
\(271\) | 5.18094 | + | 11.6366i | 0.314720 | + | 0.706872i | 0.999766 | − | 0.0216276i | \(-0.00688480\pi\) |
−0.685046 | + | 0.728499i | \(0.740218\pi\) | |||||||
\(272\) | −1.20820 | + | 7.62829i | −0.0732580 | + | 0.462533i | ||||
\(273\) | −4.27071 | − | 5.86708i | −0.258475 | − | 0.355092i | ||||
\(274\) | 14.3979i | 0.869810i | ||||||||
\(275\) | 10.2365 | − | 13.0466i | 0.617281 | − | 0.786743i | ||||
\(276\) | −15.8946 | + | 9.17673i | −0.956740 | + | 0.552374i | ||||
\(277\) | −22.8007 | − | 14.8070i | −1.36996 | − | 0.889665i | −0.370727 | − | 0.928742i | \(-0.620892\pi\) |
−0.999236 | + | 0.0390769i | \(0.987558\pi\) | |||||||
\(278\) | −1.94911 | + | 2.40696i | −0.116900 | + | 0.144360i | ||||
\(279\) | −11.2402 | − | 8.16645i | −0.672930 | − | 0.488912i | ||||
\(280\) | 5.87069 | − | 0.731406i | 0.350841 | − | 0.0437098i | ||||
\(281\) | −0.163707 | − | 0.503839i | −0.00976596 | − | 0.0300565i | 0.946055 | − | 0.324007i | \(-0.105030\pi\) |
−0.955821 | + | 0.293950i | \(0.905030\pi\) | |||||||
\(282\) | 10.5383 | + | 4.04529i | 0.627549 | + | 0.240894i | ||||
\(283\) | 4.74183 | + | 12.3529i | 0.281872 | + | 0.734303i | 0.999291 | + | 0.0376599i | \(0.0119904\pi\) |
−0.717418 | + | 0.696643i | \(0.754676\pi\) | |||||||
\(284\) | 2.30589 | + | 10.8484i | 0.136830 | + | 0.643733i | ||||
\(285\) | −27.0263 | − | 18.8886i | −1.60090 | − | 1.11887i | ||||
\(286\) | −1.38125 | − | 3.84050i | −0.0816753 | − | 0.227094i | ||||
\(287\) | −4.89885 | − | 10.9766i | −0.289170 | − | 0.647926i | ||||
\(288\) | 0.893458 | + | 1.75351i | 0.0526475 | + | 0.103327i | ||||
\(289\) | −42.4169 | + | 4.45819i | −2.49511 | + | 0.262247i | ||||
\(290\) | 0.0366113 | − | 0.189237i | 0.00214989 | − | 0.0111124i | ||||
\(291\) | −12.7524 | + | 14.1629i | −0.747557 | + | 0.830246i | ||||
\(292\) | −0.870186 | + | 0.565106i | −0.0509238 | + | 0.0330703i | ||||
\(293\) | −3.51049 | − | 22.1643i | −0.205085 | − | 1.29486i | −0.848442 | − | 0.529289i | \(-0.822459\pi\) |
0.643357 | − | 0.765566i | \(-0.277541\pi\) | |||||||
\(294\) | −15.5197 | − | 1.60312i | −0.905130 | − | 0.0934960i | ||||
\(295\) | −11.6389 | + | 4.71435i | −0.677646 | + | 0.274480i | ||||
\(296\) | 4.47665 | − | 7.75379i | 0.260200 | − | 0.450680i | ||||
\(297\) | 6.52422 | + | 3.95411i | 0.378574 | + | 0.229441i | ||||
\(298\) | 11.1299 | + | 2.98224i | 0.644736 | + | 0.172756i | ||||
\(299\) | −6.78023 | − | 7.53020i | −0.392111 | − | 0.435483i | ||||
\(300\) | −10.5437 | − | 3.60976i | −0.608742 | − | 0.208409i | ||||
\(301\) | −7.60565 | + | 4.94884i | −0.438382 | + | 0.285247i | ||||
\(302\) | −2.58563 | + | 5.07458i | −0.148786 | + | 0.292009i | ||||
\(303\) | −24.3572 | + | 15.8178i | −1.39929 | + | 0.908708i | ||||
\(304\) | 0.691534 | − | 6.57950i | 0.0396622 | − | 0.377360i | ||||
\(305\) | 22.8499 | − | 6.57385i | 1.30838 | − | 0.376418i | ||||
\(306\) | −11.2956 | + | 10.1706i | −0.645724 | + | 0.581413i | ||||
\(307\) | 5.25416 | − | 5.25416i | 0.299871 | − | 0.299871i | −0.541092 | − | 0.840963i | \(-0.681989\pi\) |
0.840963 | + | 0.541092i | \(0.181989\pi\) | |||||||
\(308\) | −8.12637 | − | 3.31092i | −0.463043 | − | 0.188657i | ||||
\(309\) | 5.96608i | 0.339398i | ||||||||
\(310\) | 9.51134 | + | 12.5989i | 0.540208 | + | 0.715570i | ||||
\(311\) | 3.92391 | − | 8.81324i | 0.222504 | − | 0.499753i | −0.767455 | − | 0.641102i | \(-0.778477\pi\) |
0.989960 | + | 0.141349i | \(0.0451441\pi\) | |||||||
\(312\) | −2.13157 | + | 1.72611i | −0.120677 | + | 0.0977220i | ||||
\(313\) | −6.24079 | − | 9.60998i | −0.352751 | − | 0.543188i | 0.617101 | − | 0.786884i | \(-0.288307\pi\) |
−0.969852 | + | 0.243696i | \(0.921640\pi\) | |||||||
\(314\) | −0.771222 | − | 2.37358i | −0.0435226 | − | 0.133949i | ||||
\(315\) | 9.88467 | + | 6.15227i | 0.556938 | + | 0.346641i | ||||
\(316\) | −1.27710 | + | 0.927870i | −0.0718427 | + | 0.0521968i | ||||
\(317\) | 1.10420 | − | 21.0693i | 0.0620178 | − | 1.18337i | −0.773459 | − | 0.633846i | \(-0.781475\pi\) |
0.835477 | − | 0.549525i | \(-0.185191\pi\) | |||||||
\(318\) | 2.27687 | − | 8.49738i | 0.127680 | − | 0.476509i | ||||
\(319\) | −0.184601 | + | 0.218301i | −0.0103356 | + | 0.0122225i | ||||
\(320\) | −0.390226 | − | 2.20175i | −0.0218143 | − | 0.123082i | ||||
\(321\) | 22.0016 | + | 7.14874i | 1.22801 | + | 0.399004i | ||||
\(322\) | −21.7859 | + | 0.0194894i | −1.21408 | + | 0.00108610i | ||||
\(323\) | 50.4668 | − | 7.99316i | 2.80805 | − | 0.444751i | ||||
\(324\) | 2.29347 | − | 10.7899i | 0.127415 | − | 0.599440i | ||||
\(325\) | 0.739099 | − | 6.10830i | 0.0409979 | − | 0.338828i | ||||
\(326\) | −2.05587 | + | 19.5603i | −0.113864 | + | 1.08335i | ||||
\(327\) | 13.2915 | + | 10.7632i | 0.735020 | + | 0.595207i | ||||
\(328\) | −4.04801 | + | 2.06256i | −0.223514 | + | 0.113886i | ||||
\(329\) | 8.44169 | + | 10.4056i | 0.465406 | + | 0.573678i | ||||
\(330\) | 11.0246 | + | 12.3166i | 0.606884 | + | 0.678007i | ||||
\(331\) | −14.7466 | + | 25.5419i | −0.810548 | + | 1.40391i | 0.101934 | + | 0.994791i | \(0.467497\pi\) |
−0.912481 | + | 0.409118i | \(0.865836\pi\) | |||||||
\(332\) | −1.60020 | + | 2.46410i | −0.0878226 | + | 0.135235i | ||||
\(333\) | 16.4499 | − | 6.31451i | 0.901447 | − | 0.346033i | ||||
\(334\) | −4.54448 | + | 2.02333i | −0.248663 | + | 0.110712i | ||||
\(335\) | −27.1194 | + | 6.28614i | −1.48169 | + | 0.343449i | ||||
\(336\) | −0.303363 | + | 5.88932i | −0.0165498 | + | 0.321289i | ||||
\(337\) | −1.81525 | − | 11.4610i | −0.0988829 | − | 0.624322i | −0.986503 | − | 0.163745i | \(-0.947643\pi\) |
0.887620 | − | 0.460577i | \(-0.152357\pi\) | |||||||
\(338\) | 8.92606 | + | 7.22818i | 0.485514 | + | 0.393161i | ||||
\(339\) | 13.1669 | − | 2.79872i | 0.715130 | − | 0.152006i | ||||
\(340\) | 15.6455 | − | 7.31238i | 0.848497 | − | 0.396569i | ||||
\(341\) | −3.17015 | − | 23.1988i | −0.171673 | − | 1.25629i | ||||
\(342\) | 9.20642 | − | 9.20642i | 0.497826 | − | 0.497826i | ||||
\(343\) | −15.0124 | − | 10.8457i | −0.810592 | − | 0.585612i | ||||
\(344\) | 2.01589 | + | 2.77464i | 0.108690 | + | 0.149598i | ||||
\(345\) | 36.9019 | + | 17.9581i | 1.98673 | + | 0.966833i | ||||
\(346\) | −4.57832 | − | 4.12234i | −0.246132 | − | 0.221618i | ||||
\(347\) | −1.51476 | + | 0.0793851i | −0.0813165 | + | 0.00426162i | −0.0929508 | − | 0.995671i | \(-0.529630\pi\) |
0.0116343 | + | 0.999932i | \(0.496297\pi\) | |||||||
\(348\) | 0.179368 | + | 0.0688528i | 0.00961512 | + | 0.00369090i | ||||
\(349\) | −9.57341 | + | 6.95549i | −0.512453 | + | 0.372319i | −0.813753 | − | 0.581210i | \(-0.802579\pi\) |
0.301300 | + | 0.953529i | \(0.402579\pi\) | |||||||
\(350\) | −8.70531 | − | 9.96080i | −0.465318 | − | 0.532427i | ||||
\(351\) | 2.83057 | 0.151084 | ||||||||
\(352\) | −1.09175 | + | 3.13179i | −0.0581903 | + | 0.166925i | ||||
\(353\) | −3.16173 | + | 11.7998i | −0.168282 | + | 0.628038i | 0.829317 | + | 0.558779i | \(0.188730\pi\) |
−0.997599 | + | 0.0692585i | \(0.977937\pi\) | |||||||
\(354\) | −2.60248 | − | 12.2437i | −0.138320 | − | 0.650746i | ||||
\(355\) | 17.2116 | − | 17.8545i | 0.913496 | − | 0.947619i | ||||
\(356\) | 4.86150 | − | 6.69129i | 0.257659 | − | 0.354638i | ||||
\(357\) | −44.5419 | + | 9.50933i | −2.35741 | + | 0.503287i | ||||
\(358\) | 13.4550 | + | 6.85566i | 0.711119 | + | 0.362333i | ||||
\(359\) | −8.19201 | − | 18.3996i | −0.432358 | − | 0.971091i | −0.990007 | − | 0.141015i | \(-0.954963\pi\) |
0.557650 | − | 0.830076i | \(-0.311703\pi\) | |||||||
\(360\) | 2.13007 | − | 3.85073i | 0.112264 | − | 0.202951i | ||||
\(361\) | −24.2268 | + | 5.14957i | −1.27510 | + | 0.271030i | ||||
\(362\) | −2.45083 | − | 9.14661i | −0.128813 | − | 0.480735i | ||||
\(363\) | −5.33283 | − | 23.9309i | −0.279901 | − | 1.25605i | ||||
\(364\) | −3.21524 | + | 0.512193i | −0.168524 | + | 0.0268462i | ||||
\(365\) | 2.13646 | + | 0.904654i | 0.111827 | + | 0.0473518i | ||||
\(366\) | 2.47738 | + | 23.5707i | 0.129495 | + | 1.23206i | ||||
\(367\) | 11.6412 | + | 14.3757i | 0.607666 | + | 0.750405i | 0.984405 | − | 0.175914i | \(-0.0562882\pi\) |
−0.376740 | + | 0.926319i | \(0.622955\pi\) | |||||||
\(368\) | 0.430950 | + | 8.22302i | 0.0224648 | + | 0.428654i | ||||
\(369\) | −8.74565 | − | 1.85895i | −0.455280 | − | 0.0967728i | ||||
\(370\) | −19.9702 | + | 1.41410i | −1.03820 | + | 0.0735158i | ||||
\(371\) | 7.37726 | − | 7.39047i | 0.383008 | − | 0.383694i | ||||
\(372\) | −14.0204 | + | 7.14373i | −0.726922 | + | 0.370385i | ||||
\(373\) | −4.83340 | − | 18.0385i | −0.250264 | − | 0.933998i | −0.970664 | − | 0.240439i | \(-0.922709\pi\) |
0.720400 | − | 0.693559i | \(-0.243958\pi\) | |||||||
\(374\) | −25.5461 | − | 1.88436i | −1.32096 | − | 0.0974378i | ||||
\(375\) | 6.51324 | + | 24.0537i | 0.336342 | + | 1.24213i | ||||
\(376\) | 3.76359 | − | 3.38876i | 0.194093 | − | 0.174762i | ||||
\(377\) | −0.0165936 | + | 0.104768i | −0.000854613 | + | 0.00539582i | ||||
\(378\) | 4.06813 | − | 4.52625i | 0.209242 | − | 0.232805i | ||||
\(379\) | 7.88302 | − | 2.56135i | 0.404923 | − | 0.131568i | −0.0994720 | − | 0.995040i | \(-0.531715\pi\) |
0.504395 | + | 0.863473i | \(0.331715\pi\) | |||||||
\(380\) | −13.0556 | + | 6.95650i | −0.669736 | + | 0.356861i | ||||
\(381\) | 31.8953 | + | 3.35233i | 1.63405 | + | 0.171745i | ||||
\(382\) | −4.37342 | − | 11.3932i | −0.223764 | − | 0.582925i | ||||
\(383\) | −1.28108 | + | 24.4445i | −0.0654601 | + | 1.24905i | 0.746518 | + | 0.665366i | \(0.231724\pi\) |
−0.811978 | + | 0.583688i | \(0.801609\pi\) | |||||||
\(384\) | 2.22890 | 0.113743 | ||||||||
\(385\) | 4.04032 | + | 19.2009i | 0.205914 | + | 0.978570i | ||||
\(386\) | 4.29672 | 0.218697 | ||||||||
\(387\) | −0.353245 | + | 6.74031i | −0.0179564 | + | 0.342629i | ||||
\(388\) | 3.06420 | + | 7.98252i | 0.155561 | + | 0.405251i | ||||
\(389\) | −4.01828 | − | 0.422338i | −0.203735 | − | 0.0214134i | 0.00211123 | − | 0.999998i | \(-0.499328\pi\) |
−0.205846 | + | 0.978584i | \(0.565995\pi\) | |||||||
\(390\) | 5.86672 | + | 1.78800i | 0.297073 | + | 0.0905387i | ||||
\(391\) | −60.4840 | + | 19.6524i | −3.05881 | + | 0.993866i | ||||
\(392\) | −3.80196 | + | 5.87751i | −0.192028 | + | 0.296859i | ||||
\(393\) | −2.70295 | + | 17.0658i | −0.136346 | + | 0.860855i | ||||
\(394\) | 6.68822 | − | 6.02210i | 0.336948 | − | 0.303389i | ||||
\(395\) | 3.31801 | + | 1.20435i | 0.166947 | + | 0.0605976i | ||||
\(396\) | −5.54850 | + | 3.43771i | −0.278822 | + | 0.172752i | ||||
\(397\) | 2.25599 | + | 8.41946i | 0.113225 | + | 0.422561i | 0.999148 | − | 0.0412713i | \(-0.0131408\pi\) |
−0.885923 | + | 0.463832i | \(0.846474\pi\) | |||||||
\(398\) | −22.4388 | + | 11.4331i | −1.12476 | + | 0.573092i | ||||
\(399\) | 37.6754 | − | 10.1312i | 1.88613 | − | 0.507196i | ||||
\(400\) | −3.59058 | + | 3.47961i | −0.179529 | + | 0.173981i | ||||
\(401\) | 15.3694 | + | 3.26687i | 0.767512 | + | 0.163140i | 0.574998 | − | 0.818155i | \(-0.305003\pi\) |
0.192514 | + | 0.981294i | \(0.438336\pi\) | |||||||
\(402\) | −1.45228 | − | 27.7112i | −0.0724333 | − | 1.38211i | ||||
\(403\) | −5.46721 | − | 6.75144i | −0.272341 | − | 0.336313i | ||||
\(404\) | 1.36201 | + | 12.9587i | 0.0677625 | + | 0.644717i | ||||
\(405\) | −22.8618 | + | 9.26016i | −1.13601 | + | 0.460141i | ||||
\(406\) | 0.143682 | + | 0.177108i | 0.00713081 | + | 0.00878972i | ||||
\(407\) | 26.8645 | + | 12.6522i | 1.33162 | + | 0.627144i | ||||
\(408\) | 4.45548 | + | 16.6281i | 0.220579 | + | 0.823213i | ||||
\(409\) | −10.3516 | + | 2.20030i | −0.511855 | + | 0.108798i | −0.456596 | − | 0.889674i | \(-0.650932\pi\) |
−0.0552584 | + | 0.998472i | \(0.517598\pi\) | |||||||
\(410\) | 8.88948 | + | 4.91730i | 0.439020 | + | 0.242848i | ||||
\(411\) | 13.0528 | + | 29.3171i | 0.643848 | + | 1.44611i | ||||
\(412\) | 2.38495 | + | 1.21519i | 0.117498 | + | 0.0598681i | ||||
\(413\) | 4.57880 | − | 14.1351i | 0.225308 | − | 0.695543i | ||||
\(414\) | −9.52517 | + | 13.1103i | −0.468137 | + | 0.644335i | ||||
\(415\) | 6.56869 | − | 0.120437i | 0.322444 | − | 0.00591200i | ||||
\(416\) | 0.255850 | + | 1.20368i | 0.0125441 | + | 0.0590152i | ||||
\(417\) | −1.78671 | + | 6.66807i | −0.0874953 | + | 0.326537i | ||||
\(418\) | 21.9370 | + | 0.466663i | 1.07297 | + | 0.0228252i | ||||
\(419\) | 31.6099 | 1.54424 | 0.772122 | − | 0.635475i | \(-0.219196\pi\) | ||||
0.772122 | + | 0.635475i | \(0.219196\pi\) | |||||||
\(420\) | 11.2909 | − | 6.81153i | 0.550937 | − | 0.332368i | ||||
\(421\) | 0.266392 | − | 0.193545i | 0.0129831 | − | 0.00943281i | −0.581275 | − | 0.813707i | \(-0.697446\pi\) |
0.594258 | + | 0.804275i | \(0.297446\pi\) | |||||||
\(422\) | −2.12897 | − | 0.817236i | −0.103637 | − | 0.0397824i | ||||
\(423\) | 9.95316 | − | 0.521623i | 0.483939 | − | 0.0253622i | ||||
\(424\) | −2.93308 | − | 2.64095i | −0.142443 | − | 0.128256i | ||||
\(425\) | −33.1361 | − | 19.8309i | −1.60734 | − | 0.961940i | ||||
\(426\) | 14.5302 | + | 19.9990i | 0.703988 | + | 0.968957i | ||||
\(427\) | −11.4197 | + | 25.7110i | −0.552639 | + | 1.24424i | ||||
\(428\) | 7.33907 | − | 7.33907i | 0.354747 | − | 0.354747i | ||||
\(429\) | −6.29423 | − | 6.56784i | −0.303888 | − | 0.317098i | ||||
\(430\) | 2.61658 | − | 7.20872i | 0.126183 | − | 0.347635i | ||||
\(431\) | −6.11026 | + | 1.29878i | −0.294321 | + | 0.0625599i | −0.352706 | − | 0.935734i | \(-0.614738\pi\) |
0.0583847 | + | 0.998294i | \(0.481405\pi\) | |||||||
\(432\) | −1.78760 | − | 1.44757i | −0.0860058 | − | 0.0696461i | ||||
\(433\) | 2.56333 | + | 16.1842i | 0.123186 | + | 0.777765i | 0.969502 | + | 0.245084i | \(0.0788155\pi\) |
−0.846316 | + | 0.532681i | \(0.821184\pi\) | |||||||
\(434\) | −18.6535 | − | 0.960858i | −0.895398 | − | 0.0461226i | ||||
\(435\) | −0.0970101 | − | 0.418517i | −0.00465128 | − | 0.0200664i | ||||
\(436\) | 7.00986 | − | 3.12099i | 0.335711 | − | 0.149468i | ||||
\(437\) | 50.8578 | − | 19.5225i | 2.43286 | − | 0.933886i | ||||
\(438\) | −1.25957 | + | 1.93956i | −0.0601844 | + | 0.0926758i | ||||
\(439\) | 18.8821 | − | 32.7048i | 0.901195 | − | 1.56092i | 0.0752506 | − | 0.997165i | \(-0.476024\pi\) |
0.825945 | − | 0.563751i | \(-0.190642\pi\) | |||||||
\(440\) | 7.16910 | − | 1.89841i | 0.341774 | − | 0.0905030i | ||||
\(441\) | −13.0942 | + | 4.28047i | −0.623532 | + | 0.203832i | ||||
\(442\) | −8.46827 | + | 4.31480i | −0.402794 | + | 0.205234i | ||||
\(443\) | 12.1565 | + | 9.84414i | 0.577573 | + | 0.467709i | 0.873043 | − | 0.487643i | \(-0.162143\pi\) |
−0.295470 | + | 0.955352i | \(0.595476\pi\) | |||||||
\(444\) | 2.08597 | − | 19.8467i | 0.0989960 | − | 0.941884i | ||||
\(445\) | −18.4836 | − | 0.629182i | −0.876205 | − | 0.0298261i | ||||
\(446\) | 0.680067 | − | 3.19946i | 0.0322021 | − | 0.151499i | ||||
\(447\) | 25.3663 | − | 4.01763i | 1.19978 | − | 0.190027i | ||||
\(448\) | 2.29247 | + | 1.32083i | 0.108309 | + | 0.0624031i | ||||
\(449\) | −1.52976 | − | 0.497049i | −0.0721938 | − | 0.0234572i | 0.272697 | − | 0.962100i | \(-0.412084\pi\) |
−0.344891 | + | 0.938643i | \(0.612084\pi\) | |||||||
\(450\) | −9.80108 | + | 0.874860i | −0.462027 | + | 0.0412413i | ||||
\(451\) | −7.93602 | − | 12.8088i | −0.373693 | − | 0.603143i | ||||
\(452\) | 1.56309 | − | 5.83355i | 0.0735218 | − | 0.274387i | ||||
\(453\) | −0.664370 | + | 12.6769i | −0.0312148 | + | 0.595615i | ||||
\(454\) | 10.2625 | − | 7.45613i | 0.481642 | − | 0.349933i | ||||
\(455\) | 4.97449 | + | 5.31555i | 0.233208 | + | 0.249197i | ||||
\(456\) | −4.55672 | − | 14.0241i | −0.213388 | − | 0.656741i | ||||
\(457\) | 10.1450 | + | 15.6220i | 0.474565 | + | 0.730766i | 0.992176 | − | 0.124850i | \(-0.0398451\pi\) |
−0.517611 | + | 0.855616i | \(0.673178\pi\) | |||||||
\(458\) | 17.1603 | − | 13.8961i | 0.801847 | − | 0.649323i | ||||
\(459\) | 7.22582 | − | 16.2295i | 0.337273 | − | 0.757526i | ||||
\(460\) | 14.6951 | − | 11.0938i | 0.685162 | − | 0.517252i | ||||
\(461\) | 7.91220i | 0.368508i | 0.982879 | + | 0.184254i | \(0.0589869\pi\) | ||||
−0.982879 | + | 0.184254i | \(0.941013\pi\) | |||||||
\(462\) | −19.5485 | + | 0.625469i | −0.909481 | + | 0.0290994i | ||||
\(463\) | 22.6366 | − | 22.6366i | 1.05201 | − | 1.05201i | 0.0534397 | − | 0.998571i | \(-0.482982\pi\) |
0.998571 | − | 0.0534397i | \(-0.0170185\pi\) | |||||||
\(464\) | 0.0640582 | − | 0.0576783i | 0.00297383 | − | 0.00267765i | ||||
\(465\) | 30.7889 | + | 17.0312i | 1.42780 | + | 0.789802i | ||||
\(466\) | 2.98886 | − | 28.4371i | 0.138456 | − | 1.31732i | ||||
\(467\) | −17.0801 | + | 11.0919i | −0.790371 | + | 0.513273i | −0.875570 | − | 0.483091i | \(-0.839514\pi\) |
0.0851994 | + | 0.996364i | \(0.472847\pi\) | |||||||
\(468\) | −1.09946 | + | 2.15782i | −0.0508227 | + | 0.0997451i | ||||
\(469\) | 14.9277 | − | 29.3621i | 0.689296 | − | 1.35582i | ||||
\(470\) | −10.9904 | − | 2.72995i | −0.506949 | − | 0.125923i | ||||
\(471\) | −3.72220 | − | 4.13392i | −0.171510 | − | 0.190481i | ||||
\(472\) | −5.42452 | − | 1.45350i | −0.249684 | − | 0.0669026i | ||||
\(473\) | −8.61310 | + | 7.42974i | −0.396031 | + | 0.341620i | ||||
\(474\) | −1.75926 | + | 3.04712i | −0.0808054 | + | 0.139959i | ||||
\(475\) | 29.2341 | + | 15.4781i | 1.34135 | + | 0.710185i | ||||
\(476\) | −5.27108 | + | 19.7426i | −0.241600 | + | 0.904900i | ||||
\(477\) | −1.21509 | − | 7.67180i | −0.0556353 | − | 0.351267i | ||||
\(478\) | −7.38045 | + | 4.79292i | −0.337574 | + | 0.219223i | ||||
\(479\) | −4.03303 | + | 4.47913i | −0.184274 | + | 0.204657i | −0.828203 | − | 0.560428i | \(-0.810637\pi\) |
0.643929 | + | 0.765085i | \(0.277303\pi\) | |||||||
\(480\) | −2.79064 | − | 4.12945i | −0.127375 | − | 0.188483i | ||||
\(481\) | 10.9573 | − | 1.15166i | 0.499610 | − | 0.0525112i | ||||
\(482\) | −1.60735 | − | 3.15460i | −0.0732128 | − | 0.143688i | ||||
\(483\) | −44.3429 | + | 19.7903i | −2.01767 | + | 0.900489i | ||||
\(484\) | −10.6526 | − | 2.74253i | −0.484210 | − | 0.124660i | ||||
\(485\) | 10.9526 | − | 15.6713i | 0.497334 | − | 0.711597i | ||||
\(486\) | −3.67720 | − | 17.2998i | −0.166801 | − | 0.784737i | ||||
\(487\) | 9.89891 | + | 25.7875i | 0.448562 | + | 1.16855i | 0.952428 | + | 0.304763i | \(0.0985773\pi\) |
−0.503866 | + | 0.863782i | \(0.668089\pi\) | |||||||
\(488\) | 9.92701 | + | 3.81062i | 0.449375 | + | 0.172499i | ||||
\(489\) | 13.5467 | + | 41.6926i | 0.612605 | + | 1.88540i | ||||
\(490\) | 15.6493 | − | 0.314939i | 0.706964 | − | 0.0142275i | ||||
\(491\) | 15.5764 | + | 11.3169i | 0.702951 | + | 0.510724i | 0.880892 | − | 0.473317i | \(-0.156944\pi\) |
−0.177941 | + | 0.984041i | \(0.556944\pi\) | |||||||
\(492\) | −6.37270 | + | 7.86963i | −0.287304 | + | 0.354790i | ||||
\(493\) | 0.558342 | + | 0.362591i | 0.0251464 | + | 0.0163303i | ||||
\(494\) | 7.05043 | − | 4.07057i | 0.317214 | − | 0.183144i | ||||
\(495\) | 13.3158 | + | 5.97551i | 0.598503 | + | 0.268579i | ||||
\(496\) | 7.05972i | 0.316991i | ||||||||
\(497\) | 3.09332 | + | 29.1798i | 0.138754 | + | 1.30889i | ||||
\(498\) | −1.02445 | + | 6.46812i | −0.0459067 | + | 0.289843i | ||||
\(499\) | 7.90036 | + | 17.7445i | 0.353669 | + | 0.794353i | 0.999523 | + | 0.0308920i | \(0.00983480\pi\) |
−0.645854 | + | 0.763461i | \(0.723499\pi\) | |||||||
\(500\) | 10.9421 | + | 2.29566i | 0.489346 | + | 0.102665i | ||||
\(501\) | −7.41918 | + | 8.23983i | −0.331464 | + | 0.368129i | ||||
\(502\) | 3.15437 | − | 8.21742i | 0.140787 | − | 0.366761i | ||||
\(503\) | −4.36843 | − | 0.691891i | −0.194778 | − | 0.0308499i | 0.0582829 | − | 0.998300i | \(-0.481437\pi\) |
−0.253061 | + | 0.967450i | \(0.581437\pi\) | |||||||
\(504\) | 1.87032 | + | 4.85936i | 0.0833107 | + | 0.216453i | ||||
\(505\) | 22.3030 | − | 18.7479i | 0.992471 | − | 0.834271i | ||||
\(506\) | −27.0586 | + | 3.69759i | −1.20290 | + | 0.164378i | ||||
\(507\) | 24.7282 | + | 6.62590i | 1.09822 | + | 0.294266i | ||||
\(508\) | 7.83664 | − | 12.0674i | 0.347695 | − | 0.535403i | ||||
\(509\) | 1.28992 | + | 12.2728i | 0.0571746 | + | 0.543980i | 0.985193 | + | 0.171447i | \(0.0548442\pi\) |
−0.928019 | + | 0.372534i | \(0.878489\pi\) | |||||||
\(510\) | 25.2282 | − | 29.0733i | 1.11712 | − | 1.28739i | ||||
\(511\) | −2.44485 | + | 1.24847i | −0.108154 | + | 0.0552291i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −5.45349 | + | 14.2068i | −0.240778 | + | 0.627247i | ||||
\(514\) | −8.88980 | − | 3.95799i | −0.392112 | − | 0.174580i | ||||
\(515\) | −0.734644 | − | 5.94000i | −0.0323723 | − | 0.261747i | ||||
\(516\) | 6.62018 | + | 3.82217i | 0.291437 | + | 0.168261i | ||||
\(517\) | 12.2406 | + | 11.5022i | 0.538340 | + | 0.505865i | ||||
\(518\) | 13.9064 | − | 19.1766i | 0.611013 | − | 0.842572i | ||||
\(519\) | −13.0596 | − | 4.24332i | −0.573253 | − | 0.186261i | ||||
\(520\) | 1.90971 | − | 1.98104i | 0.0837462 | − | 0.0868745i | ||||
\(521\) | −3.08307 | − | 0.324044i | −0.135072 | − | 0.0141966i | 0.0367512 | − | 0.999324i | \(-0.488299\pi\) |
−0.171823 | + | 0.985128i | \(0.554966\pi\) | |||||||
\(522\) | 0.169408 | − | 0.00887828i | 0.00741477 | − | 0.000388592i | ||||
\(523\) | −3.29628 | − | 5.07582i | −0.144136 | − | 0.221950i | 0.759228 | − | 0.650825i | \(-0.225577\pi\) |
−0.903364 | + | 0.428875i | \(0.858910\pi\) | |||||||
\(524\) | 6.27152 | + | 4.55652i | 0.273972 | + | 0.199053i | ||||
\(525\) | −26.7560 | − | 12.3902i | −1.16773 | − | 0.540753i | ||||
\(526\) | 5.95907 | − | 18.3401i | 0.259828 | − | 0.799668i | ||||
\(527\) | −52.6670 | + | 14.1121i | −2.29421 | + | 0.614731i | ||||
\(528\) | 0.616183 | + | 7.36671i | 0.0268159 | + | 0.320595i | ||||
\(529\) | −38.8012 | + | 22.4019i | −1.68701 | + | 0.973994i | ||||
\(530\) | −1.22057 | + | 8.74060i | −0.0530183 | + | 0.379667i | ||||
\(531\) | −6.49626 | − | 8.94133i | −0.281914 | − | 0.388021i | ||||
\(532\) | 3.62389 | − | 17.1244i | 0.157115 | − | 0.742435i | ||||
\(533\) | −4.98136 | − | 2.53813i | −0.215767 | − | 0.109939i | ||||
\(534\) | 3.83285 | − | 18.0322i | 0.165864 | − | 0.780328i | ||||
\(535\) | −22.7857 | − | 4.40829i | −0.985110 | − | 0.190587i | ||||
\(536\) | −11.3734 | − | 5.06376i | −0.491256 | − | 0.218721i | ||||
\(537\) | 33.6123 | + | 1.76155i | 1.45048 | + | 0.0760164i | ||||
\(538\) | −21.4363 | − | 21.4363i | −0.924182 | − | 0.924182i | ||||
\(539\) | −20.4767 | − | 10.9410i | −0.881994 | − | 0.471261i | ||||
\(540\) | −0.443771 | + | 5.12424i | −0.0190969 | + | 0.220512i | ||||
\(541\) | 21.3559 | + | 23.7181i | 0.918160 | + | 1.01972i | 0.999734 | + | 0.0230526i | \(0.00733852\pi\) |
−0.0815744 | + | 0.996667i | \(0.525995\pi\) | |||||||
\(542\) | 11.8918 | − | 4.56483i | 0.510796 | − | 0.196076i | ||||
\(543\) | −13.2825 | − | 16.4025i | −0.570006 | − | 0.703899i | ||||
\(544\) | 7.55460 | + | 1.60578i | 0.323901 | + | 0.0688473i | ||||
\(545\) | −14.5587 | − | 9.07950i | −0.623627 | − | 0.388923i | ||||
\(546\) | −6.08255 | + | 3.95779i | −0.260309 | + | 0.169378i | ||||
\(547\) | 4.38340 | + | 0.694263i | 0.187421 | + | 0.0296845i | 0.249439 | − | 0.968390i | \(-0.419754\pi\) |
−0.0620183 | + | 0.998075i | \(0.519754\pi\) | |||||||
\(548\) | 14.3782 | + | 0.753529i | 0.614206 | + | 0.0321892i | ||||
\(549\) | 10.4632 | + | 18.1228i | 0.446558 | + | 0.773461i | ||||
\(550\) | −12.4930 | − | 10.9052i | −0.532705 | − | 0.465001i | ||||
\(551\) | −0.493868 | − | 0.285135i | −0.0210395 | − | 0.0121471i | ||||
\(552\) | 8.33230 | + | 16.3531i | 0.354646 | + | 0.696032i | ||||
\(553\) | −3.61513 | + | 2.09151i | −0.153731 | + | 0.0889400i | ||||
\(554\) | −15.9800 | + | 21.9946i | −0.678924 | + | 0.934459i | ||||
\(555\) | −39.3814 | + | 20.9839i | −1.67165 | + | 0.890717i | ||||
\(556\) | 2.30165 | + | 2.07241i | 0.0976116 | + | 0.0878899i | ||||
\(557\) | −5.44537 | + | 4.40958i | −0.230728 | + | 0.186840i | −0.737712 | − | 0.675116i | \(-0.764094\pi\) |
0.506984 | + | 0.861956i | \(0.330760\pi\) | |||||||
\(558\) | −8.74352 | + | 10.7973i | −0.370143 | + | 0.457088i | ||||
\(559\) | −1.30418 | + | 4.01385i | −0.0551609 | + | 0.169768i | ||||
\(560\) | −0.423155 | − | 5.90093i | −0.0178816 | − | 0.249360i | ||||
\(561\) | −53.7255 | + | 19.3226i | −2.26829 | + | 0.815800i | ||||
\(562\) | −0.511716 | + | 0.137114i | −0.0215855 | + | 0.00578380i | ||||
\(563\) | −28.4849 | − | 18.4983i | −1.20050 | − | 0.779611i | −0.219876 | − | 0.975528i | \(-0.570565\pi\) |
−0.980621 | + | 0.195917i | \(0.937232\pi\) | |||||||
\(564\) | 4.59128 | − | 10.3122i | 0.193328 | − | 0.434221i | ||||
\(565\) | −12.7648 | + | 4.40782i | −0.537017 | + | 0.185438i | ||||
\(566\) | 12.5841 | − | 4.08883i | 0.528950 | − | 0.171866i | ||||
\(567\) | 8.99389 | − | 27.7648i | 0.377708 | − | 1.16601i | ||||
\(568\) | 10.9542 | − | 1.73497i | 0.459628 | − | 0.0727979i | ||||
\(569\) | −4.13585 | + | 0.434695i | −0.173384 | + | 0.0182234i | −0.190822 | − | 0.981625i | \(-0.561115\pi\) |
0.0174387 | + | 0.999848i | \(0.494449\pi\) | |||||||
\(570\) | −20.2772 | + | 26.0007i | −0.849318 | + | 1.08905i | ||||
\(571\) | −11.7464 | − | 20.3454i | −0.491573 | − | 0.851429i | 0.508380 | − | 0.861133i | \(-0.330245\pi\) |
−0.999953 | + | 0.00970350i | \(0.996911\pi\) | |||||||
\(572\) | −3.90753 | + | 1.17836i | −0.163382 | + | 0.0492699i | ||||
\(573\) | −19.2340 | − | 19.2340i | −0.803510 | − | 0.803510i | ||||
\(574\) | −11.2179 | + | 4.31767i | −0.468226 | + | 0.180216i | ||||
\(575\) | −38.9519 | − | 13.3356i | −1.62441 | − | 0.556134i | ||||
\(576\) | 1.79787 | − | 0.800462i | 0.0749111 | − | 0.0333526i | ||||
\(577\) | −0.644661 | − | 12.3009i | −0.0268376 | − | 0.512092i | −0.978666 | − | 0.205459i | \(-0.934131\pi\) |
0.951828 | − | 0.306632i | \(-0.0992022\pi\) | |||||||
\(578\) | 2.23216 | + | 42.5921i | 0.0928455 | + | 1.77160i | ||||
\(579\) | 8.74899 | − | 3.89530i | 0.363596 | − | 0.161883i | ||||
\(580\) | −0.187062 | − | 0.0464651i | −0.00776733 | − | 0.00192936i | ||||
\(581\) | −4.88661 | + | 6.04551i | −0.202731 | + | 0.250810i | ||||
\(582\) | 13.4761 | + | 13.4761i | 0.558603 | + | 0.558603i | ||||
\(583\) | 7.91772 | − | 10.4242i | 0.327918 | − | 0.431724i | ||||
\(584\) | 0.518789 | + | 0.898569i | 0.0214676 | + | 0.0371830i | ||||
\(585\) | 5.37431 | − | 0.664681i | 0.222200 | − | 0.0274812i | ||||
\(586\) | −22.3177 | + | 2.34568i | −0.921936 | + | 0.0968993i | ||||
\(587\) | 7.63165 | − | 1.20873i | 0.314992 | − | 0.0498898i | 0.00306314 | − | 0.999995i | \(-0.499025\pi\) |
0.311929 | + | 0.950105i | \(0.399025\pi\) | |||||||
\(588\) | −2.41317 | + | 15.4146i | −0.0995173 | + | 0.635686i | ||||
\(589\) | 44.4194 | − | 14.4327i | 1.83027 | − | 0.594690i | ||||
\(590\) | 4.09876 | + | 11.8697i | 0.168743 | + | 0.488669i | ||||
\(591\) | 8.15909 | − | 18.3256i | 0.335620 | − | 0.753815i | ||||
\(592\) | −7.50887 | − | 4.87632i | −0.308613 | − | 0.200415i | ||||
\(593\) | 23.3383 | − | 6.25348i | 0.958390 | − | 0.256800i | 0.254471 | − | 0.967080i | \(-0.418099\pi\) |
0.703919 | + | 0.710281i | \(0.251432\pi\) | |||||||
\(594\) | 4.29015 | − | 6.30834i | 0.176027 | − | 0.258834i | ||||
\(595\) | 43.1763 | − | 14.9525i | 1.77005 | − | 0.612994i | ||||
\(596\) | 3.56064 | − | 10.9585i | 0.145850 | − | 0.448879i | ||||
\(597\) | −35.3250 | + | 43.6227i | −1.44576 | + | 1.78536i | ||||
\(598\) | −7.87473 | + | 6.37683i | −0.322022 | + | 0.260768i | ||||
\(599\) | −8.06549 | − | 7.26220i | −0.329547 | − | 0.296725i | 0.487702 | − | 0.873010i | \(-0.337835\pi\) |
−0.817249 | + | 0.576285i | \(0.804502\pi\) | |||||||
\(600\) | −4.15662 | + | 10.3403i | −0.169694 | + | 0.422143i | ||||
\(601\) | 23.0402 | − | 31.7121i | 0.939830 | − | 1.29357i | −0.0160692 | − | 0.999871i | \(-0.505115\pi\) |
0.955899 | − | 0.293694i | \(-0.0948848\pi\) | |||||||
\(602\) | 4.54401 | + | 7.85423i | 0.185200 | + | 0.320114i | ||||
\(603\) | −11.1233 | − | 21.8307i | −0.452976 | − | 0.889016i | ||||
\(604\) | 4.93230 | + | 2.84766i | 0.200692 | + | 0.115870i | ||||
\(605\) | 8.25630 | + | 23.1697i | 0.335666 | + | 0.941981i | ||||
\(606\) | 14.5213 | + | 25.1517i | 0.589889 | + | 1.02172i | ||||
\(607\) | 5.78053 | + | 0.302945i | 0.234625 | + | 0.0122962i | 0.169286 | − | 0.985567i | \(-0.445854\pi\) |
0.0653387 | + | 0.997863i | \(0.479187\pi\) | |||||||
\(608\) | −6.53429 | − | 1.03493i | −0.265001 | − | 0.0419720i | ||||
\(609\) | 0.453127 | + | 0.230370i | 0.0183616 | + | 0.00933505i | ||||
\(610\) | −5.36897 | − | 23.1626i | −0.217383 | − | 0.937826i | ||||
\(611\) | 6.09593 | + | 1.29573i | 0.246615 | + | 0.0524196i | ||||
\(612\) | 9.56547 | + | 11.8124i | 0.386661 | + | 0.477487i | ||||
\(613\) | 11.1719 | − | 4.28849i | 0.451229 | − | 0.173211i | −0.122131 | − | 0.992514i | \(-0.538973\pi\) |
0.573360 | + | 0.819303i | \(0.305640\pi\) | |||||||
\(614\) | −4.97198 | − | 5.52194i | −0.200653 | − | 0.222847i | ||||
\(615\) | 22.5587 | + | 1.95364i | 0.909655 | + | 0.0787783i | ||||
\(616\) | −3.73168 | + | 7.94195i | −0.150354 | + | 0.319990i | ||||
\(617\) | −10.8209 | − | 10.8209i | −0.435633 | − | 0.435633i | 0.454906 | − | 0.890539i | \(-0.349673\pi\) |
−0.890539 | + | 0.454906i | \(0.849673\pi\) | |||||||
\(618\) | 5.95790 | + | 0.312240i | 0.239662 | + | 0.0125601i | ||||
\(619\) | −5.70202 | − | 2.53870i | −0.229183 | − | 0.102039i | 0.288932 | − | 0.957349i | \(-0.406700\pi\) |
−0.518116 | + | 0.855310i | \(0.673366\pi\) | |||||||
\(620\) | 13.0794 | − | 8.83893i | 0.525282 | − | 0.354980i | ||||
\(621\) | 3.93797 | − | 18.5267i | 0.158025 | − | 0.743451i | ||||
\(622\) | −8.59580 | − | 4.37978i | −0.344660 | − | 0.175613i | ||||
\(623\) | 14.6278 | − | 16.2751i | 0.586052 | − | 0.652049i | ||||
\(624\) | 1.61219 | + | 2.21899i | 0.0645393 | + | 0.0888307i | ||||
\(625\) | −9.44666 | − | 23.1465i | −0.377866 | − | 0.925860i | ||||
\(626\) | −9.92343 | + | 5.72929i | −0.396620 | + | 0.228989i | ||||
\(627\) | 45.0912 | − | 18.9373i | 1.80077 | − | 0.756284i | ||||
\(628\) | −2.41069 | + | 0.645942i | −0.0961969 | + | 0.0257759i | ||||
\(629\) | 21.3684 | − | 65.7653i | 0.852015 | − | 2.62223i | ||||
\(630\) | 6.66116 | − | 9.54914i | 0.265387 | − | 0.380447i | ||||
\(631\) | 1.66017 | + | 1.20618i | 0.0660903 | + | 0.0480174i | 0.620340 | − | 0.784333i | \(-0.286995\pi\) |
−0.554250 | + | 0.832351i | \(0.686995\pi\) | |||||||
\(632\) | 0.859760 | + | 1.32391i | 0.0341994 | + | 0.0526625i | ||||
\(633\) | −5.07591 | + | 0.266017i | −0.201749 | + | 0.0105732i | ||||
\(634\) | −20.9827 | − | 2.20537i | −0.833328 | − | 0.0875863i | ||||
\(635\) | −32.1687 | + | 0.589811i | −1.27657 | + | 0.0234059i | ||||
\(636\) | −8.36657 | − | 2.71846i | −0.331756 | − | 0.107794i | ||||
\(637\) | −8.60137 | + | 0.466212i | −0.340799 | + | 0.0184720i | ||||
\(638\) | 0.208341 | + | 0.195773i | 0.00824828 | + | 0.00775071i | ||||
\(639\) | 18.9025 | + | 10.9133i | 0.747770 | + | 0.431725i | ||||
\(640\) | −2.21916 | + | 0.274460i | −0.0877200 | + | 0.0108490i | ||||
\(641\) | 19.2670 | + | 8.57821i | 0.761000 | + | 0.338819i | 0.750277 | − | 0.661124i | \(-0.229920\pi\) |
0.0107227 | + | 0.999943i | \(0.496587\pi\) | |||||||
\(642\) | 8.29042 | − | 21.5973i | 0.327197 | − | 0.852377i | ||||
\(643\) | 2.60368 | − | 5.11001i | 0.102679 | − | 0.201519i | −0.833951 | − | 0.551838i | \(-0.813927\pi\) |
0.936631 | + | 0.350319i | \(0.113927\pi\) | |||||||
\(644\) | −1.12072 | + | 21.7571i | −0.0441627 | + | 0.857349i | ||||
\(645\) | −1.20736 | − | 17.0505i | −0.0475399 | − | 0.671365i | ||||
\(646\) | −5.34097 | − | 50.8160i | −0.210138 | − | 1.99933i | ||||
\(647\) | −24.9631 | + | 38.4397i | −0.981399 | + | 1.51122i | −0.126803 | + | 0.991928i | \(0.540472\pi\) |
−0.854596 | + | 0.519294i | \(0.826195\pi\) | |||||||
\(648\) | −10.6551 | − | 2.85502i | −0.418572 | − | 0.112156i | ||||
\(649\) | 3.30431 | − | 18.3303i | 0.129705 | − | 0.719527i | ||||
\(650\) | −6.06125 | − | 1.05777i | −0.237742 | − | 0.0414892i | ||||
\(651\) | −38.8535 | + | 14.9543i | −1.52279 | + | 0.586107i | ||||
\(652\) | 19.4259 | + | 3.07676i | 0.760777 | + | 0.120495i | ||||
\(653\) | 6.10212 | − | 15.8966i | 0.238794 | − | 0.622080i | −0.760845 | − | 0.648934i | \(-0.775215\pi\) |
0.999639 | + | 0.0268532i | \(0.00854865\pi\) | |||||||
\(654\) | 11.4441 | − | 12.7099i | 0.447499 | − | 0.496998i | ||||
\(655\) | 0.589711 | − | 17.3240i | 0.0230419 | − | 0.676905i | ||||
\(656\) | 1.84788 | + | 4.15041i | 0.0721476 | + | 0.162046i | ||||
\(657\) | −0.319433 | + | 2.01682i | −0.0124623 | + | 0.0786838i | ||||
\(658\) | 10.8331 | − | 7.88554i | 0.422319 | − | 0.307410i | ||||
\(659\) | − | 6.24936i | − | 0.243441i | −0.992564 | − | 0.121720i | \(-0.961159\pi\) | ||
0.992564 | − | 0.121720i | \(-0.0388411\pi\) | |||||||
\(660\) | 12.8767 | − | 10.3649i | 0.501225 | − | 0.403453i | ||||
\(661\) | −38.8479 | + | 22.4288i | −1.51101 | + | 0.872380i | −0.511089 | + | 0.859528i | \(0.670758\pi\) |
−0.999917 | + | 0.0128526i | \(0.995909\pi\) | |||||||
\(662\) | 24.7351 | + | 16.0632i | 0.961357 | + | 0.624313i | ||||
\(663\) | −13.3314 | + | 16.4629i | −0.517750 | + | 0.639368i | ||||
\(664\) | 2.37697 | + | 1.72697i | 0.0922445 | + | 0.0670195i | ||||
\(665\) | −36.2632 | + | 14.7262i | −1.40623 | + | 0.571057i | ||||
\(666\) | −5.44494 | − | 16.7578i | −0.210987 | − | 0.649351i | ||||
\(667\) | 0.662644 | + | 0.254365i | 0.0256577 | + | 0.00984905i | ||||
\(668\) | 1.78272 | + | 4.64414i | 0.0689755 | + | 0.179687i | ||||
\(669\) | −1.51580 | − | 7.13129i | −0.0586043 | − | 0.275712i | ||||
\(670\) | 4.85821 | + | 27.4113i | 0.187689 | + | 1.05899i | ||||
\(671\) | −9.85009 | + | 33.8630i | −0.380258 | + | 1.30727i | ||||
\(672\) | 5.86537 | + | 0.611170i | 0.226261 | + | 0.0235764i | ||||
\(673\) | 8.05245 | + | 15.8038i | 0.310399 | + | 0.609193i | 0.992525 | − | 0.122042i | \(-0.0389444\pi\) |
−0.682126 | + | 0.731235i | \(0.738944\pi\) | |||||||
\(674\) | −11.5403 | + | 1.21294i | −0.444517 | + | 0.0467206i | ||||
\(675\) | 10.0492 | − | 5.59350i | 0.386794 | − | 0.215294i | ||||
\(676\) | 7.68543 | − | 8.53554i | 0.295593 | − | 0.328290i | ||||
\(677\) | −8.84162 | + | 5.74181i | −0.339811 | + | 0.220676i | −0.703251 | − | 0.710942i | \(-0.748269\pi\) |
0.363440 | + | 0.931618i | \(0.381602\pi\) | |||||||
\(678\) | −2.10578 | − | 13.2954i | −0.0808719 | − | 0.510605i | ||||
\(679\) | 5.87464 | + | 21.8463i | 0.225448 | + | 0.838382i | ||||
\(680\) | −6.48354 | − | 16.0068i | −0.248632 | − | 0.613831i | ||||
\(681\) | 14.1370 | − | 24.4859i | 0.541729 | − | 0.938303i | ||||
\(682\) | −23.3330 | + | 1.95167i | −0.893465 | + | 0.0747333i | ||||
\(683\) | 4.84229 | + | 1.29749i | 0.185285 | + | 0.0496470i | 0.350268 | − | 0.936649i | \(-0.386090\pi\) |
−0.164983 | + | 0.986296i | \(0.552757\pi\) | |||||||
\(684\) | −8.71198 | − | 9.67563i | −0.333111 | − | 0.369957i | ||||
\(685\) | −16.6058 | − | 27.5817i | −0.634474 | − | 1.05384i | ||||
\(686\) | −11.6165 | + | 14.4242i | −0.443520 | + | 0.550717i | ||||
\(687\) | 22.3439 | − | 43.8524i | 0.852474 | − | 1.67307i | ||||
\(688\) | 2.87634 | − | 1.86791i | 0.109659 | − | 0.0712136i | ||||
\(689\) | 0.507681 | − | 4.83026i | 0.0193411 | − | 0.184018i | ||||
\(690\) | 19.8648 | − | 35.9115i | 0.756240 | − | 1.36713i | ||||
\(691\) | 14.5596 | − | 13.1095i | 0.553874 | − | 0.498710i | −0.343996 | − | 0.938971i | \(-0.611781\pi\) |
0.897870 | + | 0.440261i | \(0.145114\pi\) | |||||||
\(692\) | −4.35630 | + | 4.35630i | −0.165602 | + | 0.165602i | ||||
\(693\) | −15.5435 | + | 7.52494i | −0.590450 | + | 0.285849i | ||||
\(694\) | 1.51684i | 0.0575783i | ||||||||
\(695\) | 0.957809 | − | 6.85894i | 0.0363318 | − | 0.260174i | ||||
\(696\) | 0.0781459 | − | 0.175518i | 0.00296211 | − | 0.00665301i | ||||
\(697\) | −27.2691 | + | 22.0821i | −1.03289 | + | 0.836417i | ||||
\(698\) | 6.44493 | + | 9.92432i | 0.243944 | + | 0.375641i | ||||
\(699\) | −19.6945 | − | 60.6134i | −0.744914 | − | 2.29261i | ||||
\(700\) | −10.4028 | + | 8.17207i | −0.393187 | + | 0.308875i | ||||
\(701\) | 25.6887 | − | 18.6639i | 0.970248 | − | 0.704927i | 0.0147401 | − | 0.999891i | \(-0.495308\pi\) |
0.955508 | + | 0.294965i | \(0.0953079\pi\) | |||||||
\(702\) | 0.148140 | − | 2.82669i | 0.00559120 | − | 0.106686i | ||||
\(703\) | −15.3306 | + | 57.2144i | −0.578203 | + | 2.15788i | ||||
\(704\) | 3.07036 | + | 1.25416i | 0.115718 | + | 0.0472678i | ||||
\(705\) | −24.8536 | + | 4.40491i | −0.936041 | + | 0.165898i | ||||
\(706\) | 11.6181 | + | 3.77495i | 0.437253 | + | 0.142072i | ||||
\(707\) | 0.0308402 | + | 34.4742i | 0.00115986 | + | 1.29654i | ||||
\(708\) | −12.3631 | + | 1.95813i | −0.464635 | + | 0.0735910i | ||||
\(709\) | −4.11588 | + | 19.3637i | −0.154575 | + | 0.727219i | 0.830766 | + | 0.556622i | \(0.187903\pi\) |
−0.985341 | + | 0.170597i | \(0.945430\pi\) | |||||||
\(710\) | −16.9293 | − | 18.1224i | −0.635344 | − | 0.680123i | ||||
\(711\) | −0.324736 | + | 3.08965i | −0.0121785 | + | 0.115871i | ||||
\(712\) | −6.42769 | − | 5.20504i | −0.240888 | − | 0.195067i | ||||
\(713\) | −51.7958 | + | 26.3913i | −1.93977 | + | 0.988362i | ||||
\(714\) | 7.16516 | + | 44.9786i | 0.268149 | + | 1.68328i | ||||
\(715\) | 7.07546 | + | 5.76408i | 0.264607 | + | 0.215564i | ||||
\(716\) | 7.55045 | − | 13.0778i | 0.282174 | − | 0.488739i | ||||
\(717\) | −10.6830 | + | 16.4503i | −0.398962 | + | 0.614348i | ||||
\(718\) | −18.8031 | + | 7.21783i | −0.701725 | + | 0.269367i | ||||
\(719\) | −28.1055 | + | 12.5134i | −1.04816 | + | 0.466670i | −0.857230 | − | 0.514934i | \(-0.827817\pi\) |
−0.190929 | + | 0.981604i | \(0.561150\pi\) | |||||||
\(720\) | −3.73397 | − | 2.32868i | −0.139157 | − | 0.0867848i | ||||
\(721\) | 5.94278 | + | 3.85174i | 0.221321 | + | 0.143446i | ||||
\(722\) | 3.87458 | + | 24.4631i | 0.144197 | + | 0.910424i | ||||
\(723\) | −6.13279 | − | 4.96623i | −0.228081 | − | 0.184696i | ||||
\(724\) | −9.26234 | + | 1.96877i | −0.344232 | + | 0.0731688i | ||||
\(725\) | 0.148121 | + | 0.404742i | 0.00550107 | + | 0.0150317i | ||||
\(726\) | −24.1772 | + | 4.07307i | −0.897302 | + | 0.151166i | ||||
\(727\) | 0.282731 | − | 0.282731i | 0.0104859 | − | 0.0104859i | −0.701844 | − | 0.712330i | \(-0.747640\pi\) |
0.712330 | + | 0.701844i | \(0.247640\pi\) | |||||||
\(728\) | 0.343219 | + | 3.23764i | 0.0127205 | + | 0.119995i | ||||
\(729\) | −3.71964 | − | 5.11965i | −0.137765 | − | 0.189617i | ||||
\(730\) | 1.01523 | − | 2.08618i | 0.0375753 | − | 0.0772130i | ||||
\(731\) | 19.6847 | + | 17.7242i | 0.728065 | + | 0.655553i | ||||
\(732\) | 23.6680 | − | 1.24039i | 0.874796 | − | 0.0458461i | ||||
\(733\) | −26.2372 | − | 10.0715i | −0.969093 | − | 0.372000i | −0.178227 | − | 0.983989i | \(-0.557036\pi\) |
−0.790866 | + | 0.611989i | \(0.790370\pi\) | |||||||
\(734\) | 14.9652 | − | 10.8729i | 0.552377 | − | 0.401325i | ||||
\(735\) | 31.5797 | − | 14.8286i | 1.16483 | − | 0.546960i | ||||
\(736\) | 8.23430 | 0.303520 | ||||||||
\(737\) | 13.5920 | − | 38.9899i | 0.500666 | − | 1.43621i | ||||
\(738\) | −2.31411 | + | 8.63638i | −0.0851836 | + | 0.317909i | ||||
\(739\) | 7.59940 | + | 35.7524i | 0.279549 | + | 1.31517i | 0.863896 | + | 0.503670i | \(0.168017\pi\) |
−0.584348 | + | 0.811503i | \(0.698650\pi\) | |||||||
\(740\) | 0.367007 | + | 20.0168i | 0.0134915 | + | 0.735833i | ||||
\(741\) | 10.6658 | − | 14.6803i | 0.391819 | − | 0.539293i | ||||
\(742\) | −6.99425 | − | 7.75394i | −0.256767 | − | 0.284656i | ||||
\(743\) | −35.5114 | − | 18.0939i | −1.30279 | − | 0.663802i | −0.341636 | − | 0.939832i | \(-0.610981\pi\) |
−0.961149 | + | 0.276030i | \(0.910981\pi\) | |||||||
\(744\) | 6.40017 | + | 14.3750i | 0.234642 | + | 0.527014i | ||||
\(745\) | −24.7607 | + | 7.12359i | −0.907162 | + | 0.260988i | ||||
\(746\) | −18.2667 | + | 3.88271i | −0.668793 | + | 0.142156i | ||||
\(747\) | 1.49655 | + | 5.58519i | 0.0547558 | + | 0.204351i | ||||
\(748\) | −3.21876 | + | 25.4125i | −0.117689 | + | 0.929173i | ||||
\(749\) | 21.3252 | − | 17.3004i | 0.779205 | − | 0.632143i | ||||
\(750\) | 24.3616 | − | 5.24544i | 0.889559 | − | 0.191536i | ||||
\(751\) | 4.33778 | + | 41.2712i | 0.158288 | + | 1.50601i | 0.728804 | + | 0.684722i | \(0.240076\pi\) |
−0.570516 | + | 0.821286i | \(0.693257\pi\) | |||||||
\(752\) | −3.18714 | − | 3.93579i | −0.116223 | − | 0.143523i | ||||
\(753\) | −1.02677 | − | 19.5920i | −0.0374177 | − | 0.713973i | ||||
\(754\) | 0.103756 | + | 0.0220540i | 0.00377856 | + | 0.000803158i | ||||
\(755\) | −0.899533 | − | 12.7033i | −0.0327374 | − | 0.462322i | ||||
\(756\) | −4.30714 | − | 4.29944i | −0.156649 | − | 0.156369i | ||||
\(757\) | −5.82823 | + | 2.96963i | −0.211831 | + | 0.107933i | −0.556687 | − | 0.830722i | \(-0.687928\pi\) |
0.344856 | + | 0.938656i | \(0.387928\pi\) | |||||||
\(758\) | −2.14527 | − | 8.00627i | −0.0779198 | − | 0.290801i | ||||
\(759\) | −51.7447 | + | 32.0598i | −1.87821 | + | 1.16370i | ||||
\(760\) | 6.26369 | + | 13.4017i | 0.227208 | + | 0.486132i | ||||
\(761\) | 10.3120 | − | 9.28498i | 0.373810 | − | 0.336580i | −0.460717 | − | 0.887547i | \(-0.652408\pi\) |
0.834527 | + | 0.550967i | \(0.185741\pi\) | |||||||
\(762\) | 5.01701 | − | 31.6761i | 0.181747 | − | 1.14751i | ||||
\(763\) | 19.3022 | − | 6.29078i | 0.698788 | − | 0.227741i | ||||
\(764\) | −11.6064 | + | 3.77116i | −0.419906 | + | 0.136436i | ||||
\(765\) | 9.90839 | − | 32.5111i | 0.358239 | − | 1.17544i | ||||
\(766\) | 24.3439 | + | 2.55865i | 0.879582 | + | 0.0924478i | ||||
\(767\) | −2.47658 | − | 6.45172i | −0.0894243 | − | 0.232958i | ||||
\(768\) | 0.116652 | − | 2.22585i | 0.00420931 | − | 0.0803184i | ||||
\(769\) | 43.6017 | 1.57232 | 0.786159 | − | 0.618025i | \(-0.212067\pi\) | ||||
0.786159 | + | 0.618025i | \(0.212067\pi\) | |||||||
\(770\) | 19.3861 | − | 3.02988i | 0.698626 | − | 0.109189i | ||||
\(771\) | −21.6897 | −0.781134 | ||||||||
\(772\) | 0.224873 | − | 4.29083i | 0.00809335 | − | 0.154430i | ||||
\(773\) | 3.92095 | + | 10.2144i | 0.141027 | + | 0.367388i | 0.985843 | − | 0.167668i | \(-0.0536238\pi\) |
−0.844817 | + | 0.535056i | \(0.820290\pi\) | |||||||
\(774\) | 6.71259 | + | 0.705521i | 0.241279 | + | 0.0253594i | ||||
\(775\) | −32.7515 | − | 13.1655i | −1.17647 | − | 0.472918i | ||||
\(776\) | 8.13195 | − | 2.64223i | 0.291920 | − | 0.0948506i | ||||
\(777\) | 10.9313 | − | 51.6547i | 0.392157 | − | 1.85310i | ||||
\(778\) | −0.632060 | + | 3.99067i | −0.0226604 | + | 0.143072i | ||||
\(779\) | 22.3364 | − | 20.1118i | 0.800284 | − | 0.720579i | ||||
\(780\) | 2.09259 | − | 5.76511i | 0.0749266 | − | 0.206424i | ||||
\(781\) | 8.76253 | + | 35.7249i | 0.313548 | + | 1.27834i | ||||
\(782\) | 16.4600 | + | 61.4296i | 0.588609 | + | 2.19672i | ||||
\(783\) | −0.176664 | + | 0.0900150i | −0.00631347 | + | 0.00321687i | ||||
\(784\) | 5.67047 | + | 4.10436i | 0.202517 | + | 0.146584i | ||||
\(785\) | 4.21496 | + | 3.65751i | 0.150438 | + | 0.130542i | ||||
\(786\) | 16.9009 | + | 3.59240i | 0.602836 | + | 0.128137i | ||||
\(787\) | −1.76148 | − | 33.6110i | −0.0627899 | − | 1.19810i | −0.830393 | − | 0.557178i | \(-0.811884\pi\) |
0.767603 | − | 0.640925i | \(-0.221449\pi\) | |||||||
\(788\) | −5.66381 | − | 6.99422i | −0.201765 | − | 0.249159i | ||||
\(789\) | −4.49285 | − | 42.7466i | −0.159950 | − | 1.52182i | ||||
\(790\) | 1.37635 | − | 3.25043i | 0.0489685 | − | 0.115645i | ||||
\(791\) | 5.71286 | − | 14.9224i | 0.203126 | − | 0.530580i | ||||
\(792\) | 3.14261 | + | 5.72081i | 0.111668 | + | 0.203280i | ||||
\(793\) | 3.38664 | + | 12.6391i | 0.120263 | + | 0.448828i | ||||
\(794\) | 8.52599 | − | 1.81226i | 0.302576 | − | 0.0643145i | ||||
\(795\) | 5.43869 | + | 18.9042i | 0.192890 | + | 0.670462i | ||||
\(796\) | 10.2431 | + | 23.0064i | 0.363058 | + | 0.815441i | ||||
\(797\) | 2.45695 | + | 1.25188i | 0.0870296 | + | 0.0443438i | 0.496964 | − | 0.867771i | \(-0.334448\pi\) |
−0.409934 | + | 0.912115i | \(0.634448\pi\) | |||||||
\(798\) | −8.14557 | − | 38.1540i | −0.288350 | − | 1.35064i | ||||
\(799\) | 22.9909 | − | 31.6442i | 0.813358 | − | 1.11949i | ||||
\(800\) | 3.28693 | + | 3.76777i | 0.116210 | + | 0.133211i | ||||
\(801\) | −3.38422 | − | 15.9215i | −0.119575 | − | 0.562558i | ||||
\(802\) | 4.06677 | − | 15.1774i | 0.143602 | − | 0.535932i | ||||
\(803\) | −2.82643 | + | 1.96305i | −0.0997424 | + | 0.0692746i | ||||
\(804\) | −27.7492 | −0.978640 | ||||||||
\(805\) | 41.7121 | − | 25.1640i | 1.47016 | − | 0.886915i | ||||
\(806\) | −7.02832 | + | 5.10637i | −0.247562 | + | 0.179864i | ||||
\(807\) | −63.0822 | − | 24.2150i | −2.22060 | − | 0.852408i | ||||
\(808\) | 13.0122 | − | 0.681939i | 0.457767 | − | 0.0239905i | ||||
\(809\) | 14.0166 | + | 12.6206i | 0.492799 | + | 0.443718i | 0.877679 | − | 0.479248i | \(-0.159091\pi\) |
−0.384880 | + | 0.922966i | \(0.625757\pi\) | |||||||
\(810\) | 8.05097 | + | 23.3151i | 0.282882 | + | 0.819208i | ||||
\(811\) | −3.68294 | − | 5.06913i | −0.129325 | − | 0.178001i | 0.739444 | − | 0.673218i | \(-0.235089\pi\) |
−0.868769 | + | 0.495217i | \(0.835089\pi\) | |||||||
\(812\) | 0.184385 | − | 0.134216i | 0.00647064 | − | 0.00471005i | ||||
\(813\) | 20.0757 | − | 20.0757i | 0.704087 | − | 0.704087i | ||||
\(814\) | 14.0408 | − | 26.1655i | 0.492130 | − | 0.917100i | ||||
\(815\) | −18.6214 | − | 39.8423i | −0.652280 | − | 1.39561i | ||||
\(816\) | 16.8385 | − | 3.57913i | 0.589465 | − | 0.125295i | ||||
\(817\) | −17.6331 | − | 14.2790i | −0.616905 | − | 0.499560i | ||||
\(818\) | 1.65553 | + | 10.4526i | 0.0578842 | + | 0.365466i | ||||
\(819\) | −3.48492 | + | 5.37683i | −0.121773 | + | 0.187882i | ||||
\(820\) | 5.37580 | − | 8.61994i | 0.187731 | − | 0.301022i | ||||
\(821\) | −26.8720 | + | 11.9642i | −0.937840 | + | 0.417553i | −0.817986 | − | 0.575238i | \(-0.804909\pi\) |
−0.119854 | + | 0.992792i | \(0.538243\pi\) | |||||||
\(822\) | 29.9601 | − | 11.5006i | 1.04498 | − | 0.401129i | ||||
\(823\) | 4.23915 | − | 6.52772i | 0.147767 | − | 0.227542i | −0.757034 | − | 0.653375i | \(-0.773352\pi\) |
0.904802 | + | 0.425833i | \(0.140019\pi\) | |||||||
\(824\) | 1.33834 | − | 2.31808i | 0.0466234 | − | 0.0807541i | ||||
\(825\) | −35.3248 | − | 10.8794i | −1.22985 | − | 0.378772i | ||||
\(826\) | −13.8761 | − | 5.31229i | −0.482811 | − | 0.184838i | ||||
\(827\) | −35.9205 | + | 18.3024i | −1.24908 | + | 0.636437i | −0.948336 | − | 0.317269i | \(-0.897234\pi\) |
−0.300742 | + | 0.953706i | \(0.597234\pi\) | |||||||
\(828\) | 12.5938 | + | 10.1983i | 0.437665 | + | 0.354414i | ||||
\(829\) | −4.51901 | + | 42.9955i | −0.156952 | + | 1.49330i | 0.578480 | + | 0.815696i | \(0.303646\pi\) |
−0.735432 | + | 0.677599i | \(0.763021\pi\) | |||||||
\(830\) | 0.223507 | − | 6.56599i | 0.00775804 | − | 0.227909i | ||||
\(831\) | −12.5988 | + | 59.2725i | −0.437046 | + | 2.05614i | ||||
\(832\) | 1.21542 | − | 0.192504i | 0.0421371 | − | 0.00667386i | ||||
\(833\) | −19.2843 | + | 50.5073i | −0.668163 | + | 1.74998i | ||||
\(834\) | 6.56543 | + | 2.13324i | 0.227342 | + | 0.0738679i | ||||
\(835\) | 6.37212 | − | 9.11739i | 0.220516 | − | 0.315520i | ||||
\(836\) | 1.61412 | − | 21.8825i | 0.0558254 | − | 0.756822i | ||||
\(837\) | 4.20291 | − | 15.6855i | 0.145274 | − | 0.542170i | ||||
\(838\) | 1.65433 | − | 31.5666i | 0.0571480 | − | 1.09045i | ||||
\(839\) | −20.6796 | + | 15.0246i | −0.713939 | + | 0.518707i | −0.884442 | − | 0.466650i | \(-0.845461\pi\) |
0.170503 | + | 0.985357i | \(0.445461\pi\) | |||||||
\(840\) | −6.21127 | − | 11.6319i | −0.214309 | − | 0.401338i | ||||
\(841\) | 8.95920 | + | 27.5736i | 0.308938 | + | 0.950813i | ||||
\(842\) | −0.179338 | − | 0.276156i | −0.00618039 | − | 0.00951697i | ||||
\(843\) | −0.917655 | + | 0.743102i | −0.0316057 | + | 0.0255938i | ||||
\(844\) | −0.927538 | + | 2.08328i | −0.0319272 | + | 0.0717096i | ||||
\(845\) | −25.4360 | − | 3.55198i | −0.875025 | − | 0.122192i | ||||
\(846\) | − | 9.96682i | − | 0.342666i | ||||||
\(847\) | −27.2804 | − | 10.1380i | −0.937367 | − | 0.348344i | ||||
\(848\) | −2.79084 | + | 2.79084i | −0.0958378 | + | 0.0958378i | ||||
\(849\) | 21.9170 | − | 19.7342i | 0.752190 | − | 0.677275i | ||||
\(850\) | −21.5379 | + | 32.0528i | −0.738745 | + | 1.09940i | ||||
\(851\) | 7.70627 | − | 73.3203i | 0.264168 | − | 2.51339i | ||||
\(852\) | 20.7321 | − | 13.4636i | 0.710270 | − | 0.461254i | ||||
\(853\) | −11.5053 | + | 22.5805i | −0.393935 | + | 0.773141i | −0.999748 | − | 0.0224662i | \(-0.992848\pi\) |
0.605812 | + | 0.795608i | \(0.292848\pi\) | |||||||
\(854\) | 25.0781 | + | 12.7497i | 0.858154 | + | 0.436285i | ||||
\(855\) | −7.01829 | + | 28.2547i | −0.240020 | + | 0.966289i | ||||
\(856\) | −6.94492 | − | 7.71311i | −0.237372 | − | 0.263629i | ||||
\(857\) | −14.1430 | − | 3.78960i | −0.483114 | − | 0.129450i | 0.00903803 | − | 0.999959i | \(-0.497123\pi\) |
−0.492152 | + | 0.870509i | \(0.663790\pi\) | |||||||
\(858\) | −6.88825 | + | 5.94187i | −0.235161 | + | 0.202852i | ||||
\(859\) | 8.83924 | − | 15.3100i | 0.301591 | − | 0.522371i | −0.674906 | − | 0.737904i | \(-0.735816\pi\) |
0.976496 | + | 0.215533i | \(0.0691490\pi\) | |||||||
\(860\) | −7.06190 | − | 2.99027i | −0.240809 | − | 0.101967i | ||||
\(861\) | −18.9277 | + | 18.9616i | −0.645053 | + | 0.646208i | ||||
\(862\) | 0.977210 | + | 6.16986i | 0.0332839 | + | 0.210146i | ||||
\(863\) | 12.6689 | − | 8.22730i | 0.431255 | − | 0.280060i | −0.310702 | − | 0.950507i | \(-0.600564\pi\) |
0.741958 | + | 0.670447i | \(0.233898\pi\) | |||||||
\(864\) | −1.53914 | + | 1.70939i | −0.0523626 | + | 0.0581545i | ||||
\(865\) | 13.5250 | + | 2.61666i | 0.459865 | + | 0.0889690i | ||||
\(866\) | 16.2962 | − | 1.71280i | 0.553768 | − | 0.0582034i | ||||
\(867\) | 43.1581 | + | 84.7026i | 1.46573 | + | 2.87665i | ||||
\(868\) | −1.93579 | + | 18.5777i | −0.0657050 | + | 0.630567i | ||||
\(869\) | −4.13796 | + | 3.20758i | −0.140371 | + | 0.108810i | ||||
\(870\) | −0.423021 | + | 0.0749737i | −0.0143417 | + | 0.00254185i | ||||
\(871\) | −3.18526 | − | 14.9855i | −0.107929 | − | 0.507764i | ||||
\(872\) | −2.74984 | − | 7.16359i | −0.0931215 | − | 0.242590i | ||||
\(873\) | 15.7097 | + | 6.03038i | 0.531692 | + | 0.204098i | ||||
\(874\) | −16.8340 | − | 51.8098i | −0.569419 | − | 1.75249i | ||||
\(875\) | 28.1648 | + | 9.04139i | 0.952142 | + | 0.305655i | ||||
\(876\) | 1.87098 | + | 1.35935i | 0.0632146 | + | 0.0459281i | ||||
\(877\) | 15.5719 | − | 19.2297i | 0.525826 | − | 0.649341i | −0.443164 | − | 0.896440i | \(-0.646144\pi\) |
0.968990 | + | 0.247100i | \(0.0794776\pi\) | |||||||
\(878\) | −31.6718 | − | 20.5679i | −1.06887 | − | 0.694133i | ||||
\(879\) | −43.3169 | + | 25.0090i | −1.46104 | + | 0.843532i | ||||
\(880\) | −1.52060 | − | 7.25863i | −0.0512595 | − | 0.244688i | ||||
\(881\) | 18.4982i | 0.623220i | 0.950210 | + | 0.311610i | \(0.100868\pi\) | ||||
−0.950210 | + | 0.311610i | \(0.899132\pi\) | |||||||
\(882\) | 3.58931 | + | 13.3003i | 0.120858 | + | 0.447843i | ||||
\(883\) | 2.18093 | − | 13.7699i | 0.0733942 | − | 0.463392i | −0.923431 | − | 0.383766i | \(-0.874627\pi\) |
0.996825 | − | 0.0796270i | \(-0.0253729\pi\) | |||||||
\(884\) | 3.86569 | + | 8.68248i | 0.130017 | + | 0.292023i | ||||
\(885\) | 19.1067 | + | 20.4534i | 0.642266 | + | 0.687532i | ||||
\(886\) | 10.4669 | − | 11.6246i | 0.351642 | − | 0.390537i | ||||
\(887\) | −12.5697 | + | 32.7451i | −0.422048 | + | 1.09947i | 0.543537 | + | 0.839385i | \(0.317085\pi\) |
−0.965585 | + | 0.260088i | \(0.916248\pi\) | |||||||
\(888\) | −19.7103 | − | 3.12181i | −0.661436 | − | 0.104761i | ||||
\(889\) | 23.9310 | − | 29.6065i | 0.802621 | − | 0.992970i | ||||
\(890\) | −1.59567 | + | 18.4253i | −0.0534871 | + | 0.617617i | ||||
\(891\) | 6.49048 | − | 36.0053i | 0.217439 | − | 1.20622i | ||||
\(892\) | −3.15949 | − | 0.846582i | −0.105787 | − | 0.0283457i | ||||
\(893\) | −18.2481 | + | 28.0996i | −0.610648 | + | 0.940316i | ||||
\(894\) | −2.68455 | − | 25.5418i | −0.0897848 | − | 0.854246i | ||||
\(895\) | −33.6823 | + | 2.38507i | −1.12588 | + | 0.0797241i | ||||
\(896\) | 1.43899 | − | 2.22020i | 0.0480734 | − | 0.0741717i | ||||
\(897\) | −10.2535 | + | 20.1236i | −0.342354 | + | 0.671907i | ||||
\(898\) | −0.576429 | + | 1.50165i | −0.0192357 | + | 0.0501107i | ||||
\(899\) | 0.555928 | + | 0.247515i | 0.0185413 | + | 0.00825510i | ||||
\(900\) | 0.360712 | + | 9.83343i | 0.0120237 | + | 0.327781i | ||||
\(901\) | −26.3990 | − | 15.2415i | −0.879479 | − | 0.507767i | ||||
\(902\) | −13.2066 | + | 7.25478i | −0.439731 | + | 0.241558i | ||||
\(903\) | 16.3730 | + | 11.8733i | 0.544859 | + | 0.395119i | ||||
\(904\) | −5.74375 | − | 1.86626i | −0.191034 | − | 0.0620708i | ||||
\(905\) | 15.2442 | + | 14.6952i | 0.506734 | + | 0.488486i | ||||
\(906\) | 12.6248 | + | 1.32692i | 0.419431 | + | 0.0440839i | ||||
\(907\) | 53.2196 | − | 2.78912i | 1.76713 | − | 0.0926113i | 0.859175 | − | 0.511682i | \(-0.170977\pi\) |
0.907954 | + | 0.419070i | \(0.137644\pi\) | |||||||
\(908\) | −6.90881 | − | 10.6386i | −0.229277 | − | 0.353056i | ||||
\(909\) | 20.7458 | + | 15.0727i | 0.688095 | + | 0.499930i | ||||
\(910\) | 5.56861 | − | 4.68948i | 0.184598 | − | 0.155455i | ||||
\(911\) | 1.34092 | − | 4.12693i | 0.0444267 | − | 0.136731i | −0.926383 | − | 0.376583i | \(-0.877099\pi\) |
0.970809 | + | 0.239852i | \(0.0770989\pi\) | |||||||
\(912\) | −14.2434 | + | 3.81651i | −0.471646 | + | 0.126377i | ||||
\(913\) | −5.05067 | + | 8.33352i | −0.167153 | + | 0.275799i | ||||
\(914\) | 16.1315 | − | 9.31354i | 0.533584 | − | 0.308065i | ||||
\(915\) | −31.9310 | − | 42.2964i | −1.05561 | − | 1.39828i | ||||
\(916\) | −12.9790 | − | 17.8640i | −0.428837 | − | 0.590244i | ||||
\(917\) | 15.2541 | + | 13.7102i | 0.503735 | + | 0.452750i | ||||
\(918\) | −15.8291 | − | 8.06530i | −0.522437 | − | 0.266195i | ||||
\(919\) | −2.06712 | + | 9.72503i | −0.0681879 | + | 0.320799i | −0.999001 | − | 0.0446977i | \(-0.985768\pi\) |
0.930813 | + | 0.365497i | \(0.119101\pi\) | |||||||
\(920\) | −10.3095 | − | 15.2556i | −0.339895 | − | 0.502961i | ||||
\(921\) | −15.1300 | − | 6.73632i | −0.498551 | − | 0.221969i | ||||
\(922\) | 7.90136 | + | 0.414093i | 0.260217 | + | 0.0136374i | ||||
\(923\) | 9.65055 | + | 9.65055i | 0.317652 | + | 0.317652i | ||||
\(924\) | −0.398480 | + | 19.5545i | −0.0131090 | + | 0.643295i | ||||
\(925\) | 36.6253 | − | 25.7415i | 1.20423 | − | 0.846375i | ||||
\(926\) | −21.4208 | − | 23.7903i | −0.703933 | − | 0.781796i | ||||
\(927\) | 4.91786 | − | 1.88779i | 0.161524 | − | 0.0620032i | ||||
\(928\) | −0.0542467 | − | 0.0669891i | −0.00178073 | − | 0.00219902i | ||||
\(929\) | −19.7280 | − | 4.19331i | −0.647254 | − | 0.137578i | −0.127425 | − | 0.991848i | \(-0.540671\pi\) |
−0.519829 | + | 0.854270i | \(0.674004\pi\) | |||||||
\(930\) | 18.6192 | − | 29.8554i | 0.610548 | − | 0.978996i | ||||
\(931\) | 14.2318 | − | 44.0692i | 0.466429 | − | 1.44431i | ||||
\(932\) | −28.2417 | − | 4.47305i | −0.925088 | − | 0.146519i | ||||
\(933\) | −21.4734 | − | 1.12537i | −0.703008 | − | 0.0368431i | ||||
\(934\) | 10.1828 | + | 17.6372i | 0.333192 | + | 0.577105i | ||||
\(935\) | 51.1113 | − | 25.8537i | 1.67152 | − | 0.845507i | ||||
\(936\) | 2.09732 | + | 1.21089i | 0.0685530 | + | 0.0395791i | ||||
\(937\) | 25.5859 | + | 50.2152i | 0.835856 | + | 1.64046i | 0.765946 | + | 0.642906i | \(0.222271\pi\) |
0.0699100 | + | 0.997553i | \(0.477729\pi\) | |||||||
\(938\) | −28.5406 | − | 16.4439i | −0.931885 | − | 0.536913i | ||||
\(939\) | −15.0121 | + | 20.6624i | −0.489901 | + | 0.674291i | ||||
\(940\) | −3.30140 | + | 10.8325i | −0.107680 | + | 0.353316i | ||||
\(941\) | −2.92196 | − | 2.63094i | −0.0952531 | − | 0.0857663i | 0.620128 | − | 0.784500i | \(-0.287080\pi\) |
−0.715382 | + | 0.698734i | \(0.753747\pi\) | |||||||
\(942\) | −4.32306 | + | 3.50074i | −0.140853 | + | 0.114060i | ||||
\(943\) | −23.5429 | + | 29.0730i | −0.766661 | + | 0.946747i | ||||
\(944\) | −1.73540 | + | 5.34101i | −0.0564825 | + | 0.173835i | ||||
\(945\) | −2.57286 | + | 13.3628i | −0.0836953 | + | 0.434691i | ||||
\(946\) | 6.96878 | + | 8.99014i | 0.226575 | + | 0.292295i | ||||
\(947\) | 10.3693 | − | 2.77846i | 0.336958 | − | 0.0902877i | −0.0863724 | − | 0.996263i | \(-0.527527\pi\) |
0.423331 | + | 0.905975i | \(0.360861\pi\) | |||||||
\(948\) | 2.95088 | + | 1.91632i | 0.0958400 | + | 0.0622392i | ||||
\(949\) | −0.519327 | + | 1.16643i | −0.0168581 | + | 0.0378638i | ||||
\(950\) | 16.9869 | − | 28.3839i | 0.551128 | − | 0.920896i | ||||
\(951\) | −44.7243 | + | 14.5318i | −1.45029 | + | 0.471226i | ||||
\(952\) | 19.4397 | + | 6.29711i | 0.630043 | + | 0.204090i | ||||
\(953\) | −10.7944 | + | 1.70967i | −0.349665 | + | 0.0553815i | −0.328797 | − | 0.944401i | \(-0.606643\pi\) |
−0.0208684 | + | 0.999782i | \(0.506643\pi\) | |||||||
\(954\) | −7.72487 | + | 0.811917i | −0.250102 | + | 0.0262868i | ||||
\(955\) | 21.5183 | + | 16.7815i | 0.696315 | + | 0.543035i | ||||
\(956\) | 4.40009 | + | 7.62117i | 0.142309 | + | 0.246486i | ||||
\(957\) | 0.601707 | + | 0.209756i | 0.0194504 | + | 0.00678046i | ||||
\(958\) | 4.26192 | + | 4.26192i | 0.137696 | + | 0.137696i | ||||
\(959\) | 37.6296 | + | 5.92545i | 1.21512 | + | 0.191343i | ||||
\(960\) | −4.26984 | + | 2.57070i | −0.137809 | + | 0.0829689i | ||||
\(961\) | −17.2108 | + | 7.66276i | −0.555188 | + | 0.247186i | ||||
\(962\) | −0.576620 | − | 11.0026i | −0.0185910 | − | 0.354737i | ||||
\(963\) | −1.06901 | − | 20.3980i | −0.0344485 | − | 0.657317i | ||||
\(964\) | −3.23440 | + | 1.44005i | −0.104173 | + | 0.0463809i | ||||
\(965\) | −8.23109 | + | 4.95560i | −0.264968 | + | 0.159526i | ||||
\(966\) | 17.4424 | + | 45.3179i | 0.561201 | + | 1.45808i | ||||
\(967\) | −3.03736 | − | 3.03736i | −0.0976748 | − | 0.0976748i | 0.656581 | − | 0.754256i | \(-0.272002\pi\) |
−0.754256 | + | 0.656581i | \(0.772002\pi\) | |||||||
\(968\) | −3.29629 | + | 10.4945i | −0.105947 | + | 0.337306i | ||||
\(969\) | −56.9439 | − | 98.6297i | −1.82930 | − | 3.16844i | ||||
\(970\) | −15.0766 | − | 11.7578i | −0.484081 | − | 0.377520i | ||||
\(971\) | −18.4674 | + | 1.94101i | −0.592649 | + | 0.0622899i | −0.396105 | − | 0.918205i | \(-0.629638\pi\) |
−0.196544 | + | 0.980495i | \(0.562972\pi\) | |||||||
\(972\) | −17.4686 | + | 2.76675i | −0.560305 | + | 0.0887436i | ||||
\(973\) | 5.48853 | + | 6.08468i | 0.175954 | + | 0.195066i | ||||
\(974\) | 26.2703 | − | 8.53573i | 0.841754 | − | 0.273502i | ||||
\(975\) | −13.3009 | + | 3.34115i | −0.425969 | + | 0.107002i | ||||
\(976\) | 4.32494 | − | 9.71397i | 0.138438 | − | 0.310937i | ||||
\(977\) | 17.0278 | + | 11.0580i | 0.544769 | + | 0.353777i | 0.787498 | − | 0.616317i | \(-0.211376\pi\) |
−0.242729 | + | 0.970094i | \(0.578043\pi\) | |||||||
\(978\) | 42.3445 | − | 11.3462i | 1.35403 | − | 0.362810i | ||||
\(979\) | 15.4261 | − | 22.6830i | 0.493021 | − | 0.724951i | ||||
\(980\) | 0.504514 | − | 15.6443i | 0.0161161 | − | 0.499740i | ||||
\(981\) | 4.66647 | − | 14.3619i | 0.148989 | − | 0.458541i | ||||
\(982\) | 12.1166 | − | 14.9627i | 0.386656 | − | 0.477480i | ||||
\(983\) | 22.5243 | − | 18.2398i | 0.718413 | − | 0.581759i | −0.198856 | − | 0.980029i | \(-0.563722\pi\) |
0.917268 | + | 0.398270i | \(0.130389\pi\) | |||||||
\(984\) | 7.52532 | + | 6.77583i | 0.239899 | + | 0.216006i | ||||
\(985\) | −5.86686 | + | 19.2502i | −0.186934 | + | 0.613362i | ||||
\(986\) | 0.391316 | − | 0.538600i | 0.0124620 | − | 0.0171525i | ||||
\(987\) | 14.9096 | − | 25.8776i | 0.474578 | − | 0.823694i | ||||
\(988\) | −3.69600 | − | 7.25381i | −0.117585 | − | 0.230774i | ||||
\(989\) | 24.4571 | + | 14.1203i | 0.777692 | + | 0.449001i | ||||
\(990\) | 6.66422 | − | 12.9849i | 0.211803 | − | 0.412686i | ||||
\(991\) | −23.4967 | − | 40.6974i | −0.746396 | − | 1.29280i | −0.949540 | − | 0.313647i | \(-0.898449\pi\) |
0.203144 | − | 0.979149i | \(-0.434884\pi\) | |||||||
\(992\) | 7.05004 | + | 0.369477i | 0.223839 | + | 0.0117309i | ||||
\(993\) | 64.9282 | + | 10.2836i | 2.06044 | + | 0.326341i | ||||
\(994\) | 29.3017 | − | 1.56192i | 0.929394 | − | 0.0495412i | ||||
\(995\) | 29.7990 | − | 47.7819i | 0.944692 | − | 1.51479i | ||||
\(996\) | 6.40564 | + | 1.36156i | 0.202970 | + | 0.0431427i | ||||
\(997\) | 5.82587 | + | 7.19435i | 0.184507 | + | 0.227847i | 0.861004 | − | 0.508598i | \(-0.169836\pi\) |
−0.676497 | + | 0.736445i | \(0.736503\pi\) | |||||||
\(998\) | 18.1337 | − | 6.96086i | 0.574011 | − | 0.220342i | ||||
\(999\) | 13.7804 | + | 15.3047i | 0.435992 | + | 0.484218i |
(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 | 770.2.bv.a.537.29 | yes | 768 | |
5.3 | odd | 4 | inner | 770.2.bv.a.383.20 | yes | 768 | |
7.3 | odd | 6 | inner | 770.2.bv.a.647.44 | yes | 768 | |
11.5 | even | 5 | inner | 770.2.bv.a.467.44 | yes | 768 | |
35.3 | even | 12 | inner | 770.2.bv.a.493.44 | yes | 768 | |
55.38 | odd | 20 | inner | 770.2.bv.a.313.44 | ✓ | 768 | |
77.38 | odd | 30 | inner | 770.2.bv.a.577.20 | yes | 768 | |
385.38 | even | 60 | inner | 770.2.bv.a.423.29 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bv.a.313.44 | ✓ | 768 | 55.38 | odd | 20 | inner | |
770.2.bv.a.383.20 | yes | 768 | 5.3 | odd | 4 | inner | |
770.2.bv.a.423.29 | yes | 768 | 385.38 | even | 60 | inner | |
770.2.bv.a.467.44 | yes | 768 | 11.5 | even | 5 | inner | |
770.2.bv.a.493.44 | yes | 768 | 35.3 | even | 12 | inner | |
770.2.bv.a.537.29 | yes | 768 | 1.1 | even | 1 | trivial | |
770.2.bv.a.577.20 | yes | 768 | 77.38 | odd | 30 | inner | |
770.2.bv.a.647.44 | yes | 768 | 7.3 | odd | 6 | inner |