Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.32 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.32 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.295797 | + | 1.38293i | 0.209160 | + | 0.977881i | ||||
\(3\) | −0.0218271 | − | 1.73191i | −0.0126019 | − | 0.999921i | ||||
\(4\) | −1.82501 | + | 0.818135i | −0.912504 | + | 0.409068i | ||||
\(5\) | 1.66487 | + | 1.49272i | 0.744552 | + | 0.667564i | ||||
\(6\) | 2.38866 | − | 0.542480i | 0.975168 | − | 0.221467i | ||||
\(7\) | 0.571505 | 0.216009 | 0.108004 | − | 0.994150i | \(-0.465554\pi\) | ||||
0.108004 | + | 0.994150i | \(0.465554\pi\) | |||||||
\(8\) | −1.67126 | − | 2.28186i | −0.590879 | − | 0.806760i | ||||
\(9\) | −2.99905 | + | 0.0756053i | −0.999682 | + | 0.0252018i | ||||
\(10\) | −1.57187 | + | 2.74395i | −0.497068 | + | 0.867712i | ||||
\(11\) | 5.16870 | + | 3.75528i | 1.55842 | + | 1.13226i | 0.937288 | + | 0.348555i | \(0.113328\pi\) |
0.621134 | + | 0.783705i | \(0.286672\pi\) | |||||||
\(12\) | 1.45677 | + | 3.14290i | 0.420534 | + | 0.907277i | ||||
\(13\) | 1.72686 | + | 2.37682i | 0.478945 | + | 0.659211i | 0.978302 | − | 0.207185i | \(-0.0664302\pi\) |
−0.499357 | + | 0.866397i | \(0.666430\pi\) | |||||||
\(14\) | 0.169049 | + | 0.790353i | 0.0451804 | + | 0.211231i | ||||
\(15\) | 2.54892 | − | 2.91599i | 0.658128 | − | 0.752906i | ||||
\(16\) | 2.66131 | − | 2.98621i | 0.665327 | − | 0.746552i | ||||
\(17\) | 1.33416 | − | 4.10613i | 0.323582 | − | 0.995882i | −0.648495 | − | 0.761219i | \(-0.724601\pi\) |
0.972077 | − | 0.234663i | \(-0.0753987\pi\) | |||||||
\(18\) | −0.991666 | − | 4.12512i | −0.233738 | − | 0.972300i | ||||
\(19\) | 1.41873 | + | 0.460974i | 0.325480 | + | 0.105755i | 0.467199 | − | 0.884152i | \(-0.345263\pi\) |
−0.141719 | + | 0.989907i | \(0.545263\pi\) | |||||||
\(20\) | −4.25965 | − | 1.36214i | −0.952486 | − | 0.304583i | ||||
\(21\) | −0.0124743 | − | 0.989797i | −0.00272211 | − | 0.215991i | ||||
\(22\) | −3.66442 | + | 8.25877i | −0.781256 | + | 1.76078i | ||||
\(23\) | −0.0141869 | + | 0.0195266i | −0.00295817 | + | 0.00407157i | −0.810494 | − | 0.585748i | \(-0.800801\pi\) |
0.807535 | + | 0.589819i | \(0.200801\pi\) | |||||||
\(24\) | −3.91551 | + | 2.94428i | −0.799250 | + | 0.600999i | ||||
\(25\) | 0.543582 | + | 4.97036i | 0.108716 | + | 0.994073i | ||||
\(26\) | −2.77618 | + | 3.09119i | −0.544454 | + | 0.606232i | ||||
\(27\) | 0.196402 | + | 5.19244i | 0.0377976 | + | 0.999285i | ||||
\(28\) | −1.04300 | + | 0.467568i | −0.197109 | + | 0.0883621i | ||||
\(29\) | −1.13711 | + | 0.369470i | −0.211157 | + | 0.0686089i | −0.412685 | − | 0.910874i | \(-0.635409\pi\) |
0.201529 | + | 0.979483i | \(0.435409\pi\) | |||||||
\(30\) | 4.78658 | + | 2.66244i | 0.873907 | + | 0.486094i | ||||
\(31\) | −8.64207 | − | 2.80798i | −1.55216 | − | 0.504328i | −0.597461 | − | 0.801898i | \(-0.703824\pi\) |
−0.954700 | + | 0.297570i | \(0.903824\pi\) | |||||||
\(32\) | 4.91693 | + | 2.79710i | 0.869199 | + | 0.494463i | ||||
\(33\) | 6.39100 | − | 9.03371i | 1.11253 | − | 1.57257i | ||||
\(34\) | 6.07314 | + | 0.630476i | 1.04153 | + | 0.108126i | ||||
\(35\) | 0.951481 | + | 0.853096i | 0.160830 | + | 0.144200i | ||||
\(36\) | 5.41143 | − | 2.59161i | 0.901905 | − | 0.431934i | ||||
\(37\) | −4.85744 | − | 6.68569i | −0.798558 | − | 1.09912i | −0.992989 | − | 0.118205i | \(-0.962286\pi\) |
0.194431 | − | 0.980916i | \(-0.437714\pi\) | |||||||
\(38\) | −0.217840 | + | 2.09837i | −0.0353383 | + | 0.340400i | ||||
\(39\) | 4.07876 | − | 3.04265i | 0.653124 | − | 0.487214i | ||||
\(40\) | 0.623751 | − | 6.29372i | 0.0986238 | − | 0.995125i | ||||
\(41\) | 2.42710 | + | 3.34061i | 0.379049 | + | 0.521716i | 0.955332 | − | 0.295534i | \(-0.0954976\pi\) |
−0.576283 | + | 0.817250i | \(0.695498\pi\) | |||||||
\(42\) | 1.36513 | − | 0.310030i | 0.210645 | − | 0.0478387i | ||||
\(43\) | −2.43642 | −0.371550 | −0.185775 | − | 0.982592i | \(-0.559480\pi\) | ||||
−0.185775 | + | 0.982592i | \(0.559480\pi\) | |||||||
\(44\) | −12.5052 | − | 2.62472i | −1.88524 | − | 0.395692i | ||||
\(45\) | −5.10588 | − | 4.35086i | −0.761140 | − | 0.648588i | ||||
\(46\) | −0.0312004 | − | 0.0138436i | −0.00460024 | − | 0.00204113i | ||||
\(47\) | 3.48007 | − | 1.13074i | 0.507620 | − | 0.164936i | −0.0439995 | − | 0.999032i | \(-0.514010\pi\) |
0.551620 | + | 0.834096i | \(0.314010\pi\) | |||||||
\(48\) | −5.22994 | − | 4.54398i | −0.754877 | − | 0.655867i | ||||
\(49\) | −6.67338 | −0.953340 | ||||||||
\(50\) | −6.71289 | + | 2.22196i | −0.949346 | + | 0.314232i | ||||
\(51\) | −7.14058 | − | 2.22103i | −0.999881 | − | 0.311006i | ||||
\(52\) | −5.09610 | − | 2.92491i | −0.706701 | − | 0.405612i | ||||
\(53\) | −1.79918 | − | 5.53730i | −0.247136 | − | 0.760607i | −0.995278 | − | 0.0970678i | \(-0.969054\pi\) |
0.748142 | − | 0.663539i | \(-0.230946\pi\) | |||||||
\(54\) | −7.12270 | + | 1.80752i | −0.969277 | + | 0.245972i | ||||
\(55\) | 2.99964 | + | 13.9675i | 0.404471 | + | 1.88337i | ||||
\(56\) | −0.955132 | − | 1.30410i | −0.127635 | − | 0.174267i | ||||
\(57\) | 0.767401 | − | 2.46719i | 0.101645 | − | 0.326787i | ||||
\(58\) | −0.847308 | − | 1.46326i | −0.111257 | − | 0.192136i | ||||
\(59\) | 4.98956 | − | 3.62513i | 0.649586 | − | 0.471952i | −0.213544 | − | 0.976933i | \(-0.568501\pi\) |
0.863130 | + | 0.504982i | \(0.168501\pi\) | |||||||
\(60\) | −2.26612 | + | 7.40707i | −0.292555 | + | 0.956249i | ||||
\(61\) | −8.41374 | − | 6.11294i | −1.07727 | − | 0.782681i | −0.100064 | − | 0.994981i | \(-0.531905\pi\) |
−0.977205 | + | 0.212300i | \(0.931905\pi\) | |||||||
\(62\) | 1.32695 | − | 12.7820i | 0.168523 | − | 1.62332i | ||||
\(63\) | −1.71397 | + | 0.0432088i | −0.215940 | + | 0.00544380i | ||||
\(64\) | −2.41379 | + | 7.62716i | −0.301724 | + | 0.953395i | ||||
\(65\) | −0.672926 | + | 6.53482i | −0.0834662 | + | 0.810544i | ||||
\(66\) | 14.3835 | + | 6.16619i | 1.77048 | + | 0.759005i | ||||
\(67\) | 3.09710 | − | 9.53189i | 0.378371 | − | 1.16451i | −0.562805 | − | 0.826589i | \(-0.690278\pi\) |
0.941176 | − | 0.337916i | \(-0.109722\pi\) | |||||||
\(68\) | 0.924511 | + | 8.58524i | 0.112113 | + | 1.04111i | ||||
\(69\) | 0.0341280 | + | 0.0241442i | 0.00410853 | + | 0.00290662i | ||||
\(70\) | −0.898329 | + | 1.56818i | −0.107371 | + | 0.187433i | ||||
\(71\) | −1.01727 | − | 3.13083i | −0.120727 | − | 0.371561i | 0.872371 | − | 0.488844i | \(-0.162581\pi\) |
−0.993098 | + | 0.117283i | \(0.962581\pi\) | |||||||
\(72\) | 5.18470 | + | 6.71706i | 0.611023 | + | 0.791613i | ||||
\(73\) | 4.98681 | − | 6.86375i | 0.583662 | − | 0.803341i | −0.410429 | − | 0.911892i | \(-0.634621\pi\) |
0.994091 | + | 0.108551i | \(0.0346212\pi\) | |||||||
\(74\) | 7.80905 | − | 8.69512i | 0.907784 | − | 1.01079i | ||||
\(75\) | 8.59637 | − | 1.04993i | 0.992624 | − | 0.121235i | ||||
\(76\) | −2.96634 | + | 0.319434i | −0.340262 | + | 0.0366415i | ||||
\(77\) | 2.95394 | + | 2.14616i | 0.336632 | + | 0.244578i | ||||
\(78\) | 5.41427 | + | 4.74064i | 0.613045 | + | 0.536772i | ||||
\(79\) | −5.80539 | + | 1.88629i | −0.653158 | + | 0.212224i | −0.616806 | − | 0.787115i | \(-0.711574\pi\) |
−0.0363517 | + | 0.999339i | \(0.511574\pi\) | |||||||
\(80\) | 8.88830 | − | 0.999058i | 0.993742 | − | 0.111698i | ||||
\(81\) | 8.98857 | − | 0.453488i | 0.998730 | − | 0.0503875i | ||||
\(82\) | −3.90191 | + | 4.34465i | −0.430894 | + | 0.479787i | ||||
\(83\) | 1.19001 | + | 0.386657i | 0.130620 | + | 0.0424412i | 0.373598 | − | 0.927591i | \(-0.378124\pi\) |
−0.242977 | + | 0.970032i | \(0.578124\pi\) | |||||||
\(84\) | 0.832553 | + | 1.79618i | 0.0908390 | + | 0.195980i | ||||
\(85\) | 8.35050 | − | 4.84464i | 0.905739 | − | 0.525475i | ||||
\(86\) | −0.720685 | − | 3.36940i | −0.0777135 | − | 0.363332i | ||||
\(87\) | 0.664711 | + | 1.96132i | 0.0712645 | + | 0.210275i | ||||
\(88\) | −0.0691998 | − | 18.0703i | −0.00737672 | − | 1.92630i | ||||
\(89\) | −8.73529 | + | 12.0231i | −0.925939 | + | 1.27445i | 0.0354840 | + | 0.999370i | \(0.488703\pi\) |
−0.961423 | + | 0.275075i | \(0.911297\pi\) | |||||||
\(90\) | 4.50665 | − | 8.34806i | 0.475042 | − | 0.879963i | ||||
\(91\) | 0.986910 | + | 1.35836i | 0.103456 | + | 0.142395i | ||||
\(92\) | 0.00991580 | − | 0.0472429i | 0.00103379 | − | 0.00492542i | ||||
\(93\) | −4.67454 | + | 15.0286i | −0.484728 | + | 1.55839i | ||||
\(94\) | 2.59314 | + | 4.47823i | 0.267462 | + | 0.461894i | ||||
\(95\) | 1.67390 | + | 2.88523i | 0.171739 | + | 0.296019i | ||||
\(96\) | 4.73702 | − | 8.57675i | 0.483470 | − | 0.875361i | ||||
\(97\) | 9.99435 | − | 3.24736i | 1.01477 | − | 0.329719i | 0.246019 | − | 0.969265i | \(-0.420877\pi\) |
0.768753 | + | 0.639546i | \(0.220877\pi\) | |||||||
\(98\) | −1.97397 | − | 9.22884i | −0.199401 | − | 0.932254i | ||||
\(99\) | −15.7851 | − | 10.8715i | −1.58646 | − | 1.09263i | ||||
\(100\) | −5.05847 | − | 8.62623i | −0.505847 | − | 0.862623i | ||||
\(101\) | 9.92678i | 0.987752i | 0.869532 | + | 0.493876i | \(0.164420\pi\) | ||||
−0.869532 | + | 0.493876i | \(0.835580\pi\) | |||||||
\(102\) | 0.959371 | − | 10.5319i | 0.0949918 | − | 1.04281i | ||||
\(103\) | 2.00595 | + | 6.17369i | 0.197652 | + | 0.608312i | 0.999935 | + | 0.0113677i | \(0.00361853\pi\) |
−0.802283 | + | 0.596944i | \(0.796381\pi\) | |||||||
\(104\) | 2.53755 | − | 7.91274i | 0.248827 | − | 0.775908i | ||||
\(105\) | 1.45672 | − | 1.66650i | 0.142161 | − | 0.162634i | ||||
\(106\) | 7.12553 | − | 4.12606i | 0.692092 | − | 0.400758i | ||||
\(107\) | − | 13.1228i | − | 1.26863i | −0.773077 | − | 0.634313i | \(-0.781283\pi\) | ||
0.773077 | − | 0.634313i | \(-0.218717\pi\) | |||||||
\(108\) | −4.60655 | − | 9.31556i | −0.443266 | − | 0.896390i | ||||
\(109\) | −5.63848 | + | 4.09660i | −0.540069 | + | 0.392383i | −0.824111 | − | 0.566429i | \(-0.808325\pi\) |
0.284042 | + | 0.958812i | \(0.408325\pi\) | |||||||
\(110\) | −18.4288 | + | 8.27983i | −1.75712 | + | 0.789451i | ||||
\(111\) | −11.4730 | + | 8.55859i | −1.08897 | + | 0.812346i | ||||
\(112\) | 1.52095 | − | 1.70663i | 0.143716 | − | 0.161262i | ||||
\(113\) | −2.16481 | + | 1.57283i | −0.203649 | + | 0.147959i | −0.684935 | − | 0.728604i | \(-0.740170\pi\) |
0.481287 | + | 0.876563i | \(0.340170\pi\) | |||||||
\(114\) | 3.63895 | + | 0.331478i | 0.340819 | + | 0.0310458i | ||||
\(115\) | −0.0527670 | + | 0.0113322i | −0.00492055 | + | 0.00105673i | ||||
\(116\) | 1.77296 | − | 1.60460i | 0.164616 | − | 0.148983i | ||||
\(117\) | −5.35864 | − | 6.99764i | −0.495406 | − | 0.646932i | ||||
\(118\) | 6.48921 | + | 5.82793i | 0.597380 | + | 0.536505i | ||||
\(119\) | 0.762480 | − | 2.34667i | 0.0698964 | − | 0.215119i | ||||
\(120\) | −10.9138 | − | 0.942910i | −0.996289 | − | 0.0860755i | ||||
\(121\) | 9.21415 | + | 28.3582i | 0.837650 | + | 2.57802i | ||||
\(122\) | 5.96502 | − | 13.4438i | 0.540048 | − | 1.21715i | ||||
\(123\) | 5.73267 | − | 4.27644i | 0.516898 | − | 0.385593i | ||||
\(124\) | 18.0692 | − | 1.94580i | 1.62266 | − | 0.174738i | ||||
\(125\) | −6.51436 | + | 9.08642i | −0.582662 | + | 0.812714i | ||||
\(126\) | −0.566742 | − | 2.35753i | −0.0504894 | − | 0.210025i | ||||
\(127\) | 0.551340 | + | 0.400572i | 0.0489235 | + | 0.0355450i | 0.611978 | − | 0.790875i | \(-0.290374\pi\) |
−0.563055 | + | 0.826420i | \(0.690374\pi\) | |||||||
\(128\) | −11.2618 | − | 1.08202i | −0.995416 | − | 0.0956380i | ||||
\(129\) | 0.0531799 | + | 4.21966i | 0.00468223 | + | 0.371521i | ||||
\(130\) | −9.23626 | + | 1.00237i | −0.810074 | + | 0.0879135i | ||||
\(131\) | −4.86770 | + | 14.9812i | −0.425293 | + | 1.30892i | 0.477421 | + | 0.878675i | \(0.341572\pi\) |
−0.902714 | + | 0.430241i | \(0.858428\pi\) | |||||||
\(132\) | −4.27284 | + | 21.7153i | −0.371903 | + | 1.89007i | ||||
\(133\) | 0.810813 | + | 0.263449i | 0.0703064 | + | 0.0228439i | ||||
\(134\) | 14.0981 | + | 1.46358i | 1.21789 | + | 0.126434i | ||||
\(135\) | −7.42387 | + | 8.93791i | −0.638945 | + | 0.769253i | ||||
\(136\) | −11.5993 | + | 3.81803i | −0.994636 | + | 0.327393i | ||||
\(137\) | −1.09148 | + | 0.793004i | −0.0932512 | + | 0.0677509i | −0.633434 | − | 0.773797i | \(-0.718355\pi\) |
0.540183 | + | 0.841548i | \(0.318355\pi\) | |||||||
\(138\) | −0.0232949 | + | 0.0543385i | −0.00198299 | + | 0.00462560i | ||||
\(139\) | 7.62410 | − | 10.4937i | 0.646668 | − | 0.890062i | −0.352281 | − | 0.935894i | \(-0.614594\pi\) |
0.998949 | + | 0.0458321i | \(0.0145939\pi\) | |||||||
\(140\) | −2.43441 | − | 0.778467i | −0.205745 | − | 0.0657925i | ||||
\(141\) | −2.03431 | − | 6.00250i | −0.171320 | − | 0.505501i | ||||
\(142\) | 4.02882 | − | 2.33290i | 0.338091 | − | 0.195773i | ||||
\(143\) | 18.7699i | 1.56962i | ||||||||
\(144\) | −7.75562 | + | 9.15698i | −0.646302 | + | 0.763082i | ||||
\(145\) | −2.44466 | − | 1.08227i | −0.203018 | − | 0.0898776i | ||||
\(146\) | 10.9672 | + | 4.86614i | 0.907651 | + | 0.402725i | ||||
\(147\) | 0.145661 | + | 11.5577i | 0.0120139 | + | 0.953265i | ||||
\(148\) | 14.3347 | + | 8.22740i | 1.17830 | + | 0.676288i | ||||
\(149\) | − | 15.2344i | − | 1.24805i | −0.781403 | − | 0.624027i | \(-0.785496\pi\) | ||
0.781403 | − | 0.624027i | \(-0.214504\pi\) | |||||||
\(150\) | 3.99476 | + | 11.5776i | 0.326171 | + | 0.945311i | ||||
\(151\) | − | 7.90033i | − | 0.642920i | −0.946923 | − | 0.321460i | \(-0.895826\pi\) | ||
0.946923 | − | 0.321460i | \(-0.104174\pi\) | |||||||
\(152\) | −1.31919 | − | 4.00776i | −0.107000 | − | 0.325072i | ||||
\(153\) | −3.69077 | + | 12.4153i | −0.298381 | + | 1.00372i | ||||
\(154\) | −2.09423 | + | 4.71993i | −0.168758 | + | 0.380343i | ||||
\(155\) | −10.1964 | − | 17.5751i | −0.818994 | − | 1.41167i | ||||
\(156\) | −4.95446 | + | 8.88984i | −0.396674 | + | 0.711757i | ||||
\(157\) | − | 7.37427i | − | 0.588531i | −0.955724 | − | 0.294265i | \(-0.904925\pi\) | ||
0.955724 | − | 0.294265i | \(-0.0950750\pi\) | |||||||
\(158\) | −4.32583 | − | 7.47051i | −0.344144 | − | 0.594322i | ||||
\(159\) | −9.55085 | + | 3.23688i | −0.757432 | + | 0.256702i | ||||
\(160\) | 4.01076 | + | 11.9964i | 0.317079 | + | 0.948399i | ||||
\(161\) | −0.00810787 | + | 0.0111595i | −0.000638990 | + | 0.000879494i | ||||
\(162\) | 3.28594 | + | 12.2964i | 0.258167 | + | 0.966100i | ||||
\(163\) | −14.5917 | + | 10.6015i | −1.14291 | + | 0.830375i | −0.987523 | − | 0.157478i | \(-0.949664\pi\) |
−0.155391 | + | 0.987853i | \(0.549664\pi\) | |||||||
\(164\) | −7.16254 | − | 4.11095i | −0.559301 | − | 0.321011i | ||||
\(165\) | 24.1250 | − | 5.49998i | 1.87813 | − | 0.428173i | ||||
\(166\) | −0.182720 | + | 1.76008i | −0.0141818 | + | 0.136608i | ||||
\(167\) | −9.34074 | − | 3.03499i | −0.722808 | − | 0.234855i | −0.0755678 | − | 0.997141i | \(-0.524077\pi\) |
−0.647240 | + | 0.762286i | \(0.724077\pi\) | |||||||
\(168\) | −2.23773 | + | 1.68267i | −0.172645 | + | 0.129821i | ||||
\(169\) | 1.34999 | − | 4.15485i | 0.103846 | − | 0.319604i | ||||
\(170\) | 9.16986 | + | 10.1151i | 0.703296 | + | 0.775797i | ||||
\(171\) | −4.28970 | − | 1.27522i | −0.328042 | − | 0.0975185i | ||||
\(172\) | 4.44648 | − | 1.99332i | 0.339041 | − | 0.151989i | ||||
\(173\) | 10.1333 | + | 7.36225i | 0.770418 | + | 0.559741i | 0.902088 | − | 0.431552i | \(-0.142034\pi\) |
−0.131670 | + | 0.991294i | \(0.542034\pi\) | |||||||
\(174\) | −2.51575 | + | 1.49940i | −0.190719 | + | 0.113669i | ||||
\(175\) | 0.310660 | + | 2.84059i | 0.0234837 | + | 0.214728i | ||||
\(176\) | 24.9696 | − | 5.44084i | 1.88215 | − | 0.410119i | ||||
\(177\) | −6.38732 | − | 8.56237i | −0.480100 | − | 0.643587i | ||||
\(178\) | −19.2110 | − | 8.52392i | −1.43993 | − | 0.638895i | ||||
\(179\) | −3.15823 | − | 9.72002i | −0.236057 | − | 0.726509i | −0.996979 | − | 0.0776659i | \(-0.975253\pi\) |
0.760922 | − | 0.648843i | \(-0.224747\pi\) | |||||||
\(180\) | 12.8779 | + | 3.76306i | 0.959859 | + | 0.280482i | ||||
\(181\) | −7.00003 | + | 21.5439i | −0.520308 | + | 1.60134i | 0.253104 | + | 0.967439i | \(0.418548\pi\) |
−0.773412 | + | 0.633904i | \(0.781452\pi\) | |||||||
\(182\) | −1.58660 | + | 1.76663i | −0.117607 | + | 0.130951i | ||||
\(183\) | −10.4034 | + | 14.7053i | −0.769044 | + | 1.08705i | ||||
\(184\) | 0.0682669 | 0.000261426i | 0.00503270 | 1.92726e-5i | ||||||
\(185\) | 1.89285 | − | 18.3816i | 0.139165 | − | 1.35144i | ||||
\(186\) | −22.1663 | − | 2.01916i | −1.62531 | − | 0.148052i | ||||
\(187\) | 22.3155 | − | 16.2132i | 1.63187 | − | 1.18563i | ||||
\(188\) | −5.42605 | + | 4.91078i | −0.395736 | + | 0.358156i | ||||
\(189\) | 0.112245 | + | 2.96750i | 0.00816461 | + | 0.215854i | ||||
\(190\) | −3.49495 | + | 3.16834i | −0.253550 | + | 0.229855i | ||||
\(191\) | 9.57476 | − | 6.95647i | 0.692805 | − | 0.503353i | −0.184776 | − | 0.982781i | \(-0.559156\pi\) |
0.877581 | + | 0.479428i | \(0.159156\pi\) | |||||||
\(192\) | 13.2623 | + | 4.01400i | 0.957122 | + | 0.289685i | ||||
\(193\) | 0.806872i | 0.0580799i | 0.999578 | + | 0.0290400i | \(0.00924501\pi\) | ||||
−0.999578 | + | 0.0290400i | \(0.990755\pi\) | |||||||
\(194\) | 7.44718 | + | 12.8610i | 0.534676 | + | 0.923363i | ||||
\(195\) | 11.3324 | + | 1.02281i | 0.811532 | + | 0.0732452i | ||||
\(196\) | 12.1790 | − | 5.45973i | 0.869927 | − | 0.389981i | ||||
\(197\) | 5.69341 | + | 17.5225i | 0.405638 | + | 1.24843i | 0.920361 | + | 0.391070i | \(0.127895\pi\) |
−0.514723 | + | 0.857357i | \(0.672105\pi\) | |||||||
\(198\) | 10.3654 | − | 25.0455i | 0.736633 | − | 1.77991i | ||||
\(199\) | 11.0655i | 0.784415i | 0.919877 | + | 0.392208i | \(0.128289\pi\) | ||||
−0.919877 | + | 0.392208i | \(0.871711\pi\) | |||||||
\(200\) | 10.4332 | − | 9.54714i | 0.737740 | − | 0.675085i | ||||
\(201\) | −16.5760 | − | 5.15585i | −1.16918 | − | 0.363666i | ||||
\(202\) | −13.7281 | + | 2.93631i | −0.965904 | + | 0.206598i | ||||
\(203\) | −0.649866 | + | 0.211154i | −0.0456116 | + | 0.0148201i | ||||
\(204\) | 14.8487 | − | 1.78856i | 1.03962 | − | 0.125225i | ||||
\(205\) | −0.945794 | + | 9.18465i | −0.0660571 | + | 0.641484i | ||||
\(206\) | −7.94444 | + | 4.60026i | −0.553516 | + | 0.320515i | ||||
\(207\) | 0.0410708 | − | 0.0596337i | 0.00285462 | − | 0.00414483i | ||||
\(208\) | 11.6934 | + | 1.16869i | 0.810791 | + | 0.0810342i | ||||
\(209\) | 5.60192 | + | 7.71038i | 0.387493 | + | 0.533338i | ||||
\(210\) | 2.73556 | + | 1.52160i | 0.188771 | + | 0.105000i | ||||
\(211\) | 13.6581 | − | 18.7988i | 0.940264 | − | 1.29416i | −0.0154551 | − | 0.999881i | \(-0.504920\pi\) |
0.955719 | − | 0.294281i | \(-0.0950803\pi\) | |||||||
\(212\) | 7.81378 | + | 8.63365i | 0.536652 | + | 0.592961i | ||||
\(213\) | −5.40012 | + | 1.83016i | −0.370010 | + | 0.125400i | ||||
\(214\) | 18.1479 | − | 3.88167i | 1.24057 | − | 0.265346i | ||||
\(215\) | −4.05632 | − | 3.63689i | −0.276638 | − | 0.248034i | ||||
\(216\) | 11.5202 | − | 9.12607i | 0.783850 | − | 0.620950i | ||||
\(217\) | −4.93899 | − | 1.60477i | −0.335280 | − | 0.108939i | ||||
\(218\) | −7.33317 | − | 6.58588i | −0.496665 | − | 0.446052i | ||||
\(219\) | −11.9963 | − | 8.48690i | −0.810633 | − | 0.573492i | ||||
\(220\) | −16.9016 | − | 23.0366i | −1.13951 | − | 1.55313i | ||||
\(221\) | 12.0634 | − | 3.91965i | 0.811475 | − | 0.263664i | ||||
\(222\) | −15.2296 | − | 13.3348i | −1.02215 | − | 0.894974i | ||||
\(223\) | −4.01422 | − | 2.91650i | −0.268812 | − | 0.195303i | 0.445211 | − | 0.895426i | \(-0.353129\pi\) |
−0.714023 | + | 0.700122i | \(0.753129\pi\) | |||||||
\(224\) | 2.81005 | + | 1.59856i | 0.187754 | + | 0.106808i | ||||
\(225\) | −2.00601 | − | 14.8653i | −0.133734 | − | 0.991017i | ||||
\(226\) | −2.81546 | − | 2.52855i | −0.187282 | − | 0.168197i | ||||
\(227\) | −2.33225 | + | 3.21007i | −0.154797 | + | 0.213060i | −0.879371 | − | 0.476137i | \(-0.842037\pi\) |
0.724574 | + | 0.689197i | \(0.242037\pi\) | |||||||
\(228\) | 0.617978 | + | 5.13047i | 0.0409266 | + | 0.339774i | ||||
\(229\) | −5.31601 | − | 16.3610i | −0.351292 | − | 1.08116i | −0.958129 | − | 0.286338i | \(-0.907562\pi\) |
0.606837 | − | 0.794826i | \(-0.292438\pi\) | |||||||
\(230\) | −0.0312799 | − | 0.0696212i | −0.00206254 | − | 0.00459068i | ||||
\(231\) | 3.65249 | − | 5.16281i | 0.240316 | − | 0.339688i | ||||
\(232\) | 2.74349 | + | 1.97725i | 0.180119 | + | 0.129813i | ||||
\(233\) | 3.62305 | − | 11.1506i | 0.237354 | − | 0.730501i | −0.759446 | − | 0.650570i | \(-0.774530\pi\) |
0.996800 | − | 0.0799309i | \(-0.0254700\pi\) | |||||||
\(234\) | 8.09220 | − | 9.48052i | 0.529003 | − | 0.619761i | ||||
\(235\) | 7.48174 | + | 3.31222i | 0.488055 | + | 0.216066i | ||||
\(236\) | −6.14015 | + | 10.6980i | −0.399690 | + | 0.696383i | ||||
\(237\) | 3.39360 | + | 10.0133i | 0.220438 | + | 0.650431i | ||||
\(238\) | 3.47083 | + | 0.360320i | 0.224980 | + | 0.0233561i | ||||
\(239\) | 17.3488 | + | 12.6046i | 1.12220 | + | 0.815326i | 0.984541 | − | 0.175154i | \(-0.0560424\pi\) |
0.137658 | + | 0.990480i | \(0.456042\pi\) | |||||||
\(240\) | −1.92429 | − | 15.3720i | −0.124212 | − | 0.992256i | ||||
\(241\) | 16.3429 | − | 11.8738i | 1.05274 | − | 0.764858i | 0.0800062 | − | 0.996794i | \(-0.474506\pi\) |
0.972731 | + | 0.231936i | \(0.0745060\pi\) | |||||||
\(242\) | −36.4920 | + | 21.1308i | −2.34580 | + | 1.35834i | ||||
\(243\) | −0.981596 | − | 15.5575i | −0.0629694 | − | 0.998015i | ||||
\(244\) | 20.3563 | + | 4.27259i | 1.30318 | + | 0.273524i | ||||
\(245\) | −11.1103 | − | 9.96148i | −0.709812 | − | 0.636416i | ||||
\(246\) | 7.60973 | + | 6.66295i | 0.485179 | + | 0.424814i | ||||
\(247\) | 1.35430 | + | 4.16811i | 0.0861722 | + | 0.265211i | ||||
\(248\) | 8.03571 | + | 24.4129i | 0.510268 | + | 1.55022i | ||||
\(249\) | 0.643683 | − | 2.06943i | 0.0407917 | − | 0.131145i | ||||
\(250\) | −14.4928 | − | 6.32119i | −0.916608 | − | 0.399787i | ||||
\(251\) | 0.126327 | 0.00797366 | 0.00398683 | − | 0.999992i | \(-0.498731\pi\) | ||||
0.00398683 | + | 0.999992i | \(0.498731\pi\) | |||||||
\(252\) | 3.09266 | − | 1.48112i | 0.194819 | − | 0.0933015i | ||||
\(253\) | −0.146655 | + | 0.0476513i | −0.00922015 | + | 0.00299581i | ||||
\(254\) | −0.390879 | + | 0.880954i | −0.0245259 | + | 0.0552760i | ||||
\(255\) | −8.57276 | − | 14.3566i | −0.536847 | − | 0.899045i | ||||
\(256\) | −1.83486 | − | 15.8944i | −0.114679 | − | 0.993403i | ||||
\(257\) | −23.6075 | −1.47260 | −0.736299 | − | 0.676656i | \(-0.763428\pi\) | ||||
−0.736299 | + | 0.676656i | \(0.763428\pi\) | |||||||
\(258\) | −5.81978 | + | 1.32171i | −0.362324 | + | 0.0822860i | ||||
\(259\) | −2.77605 | − | 3.82091i | −0.172495 | − | 0.237420i | ||||
\(260\) | −4.11827 | − | 12.4766i | −0.255404 | − | 0.773768i | ||||
\(261\) | 3.38232 | − | 1.19403i | 0.209360 | − | 0.0739087i | ||||
\(262\) | −22.1579 | − | 2.30029i | −1.36892 | − | 0.142113i | ||||
\(263\) | 6.23673 | + | 8.58413i | 0.384573 | + | 0.529320i | 0.956789 | − | 0.290783i | \(-0.0939159\pi\) |
−0.572215 | + | 0.820103i | \(0.693916\pi\) | |||||||
\(264\) | −31.2947 | + | 0.514270i | −1.92606 | + | 0.0316512i | ||||
\(265\) | 5.27024 | − | 11.9046i | 0.323748 | − | 0.731291i | ||||
\(266\) | −0.124496 | + | 1.19923i | −0.00763337 | + | 0.0735294i | ||||
\(267\) | 21.0136 | + | 14.8663i | 1.28601 | + | 0.909805i | ||||
\(268\) | 2.14614 | + | 19.9296i | 0.131097 | + | 1.21740i | ||||
\(269\) | 18.3932 | + | 5.97632i | 1.12145 | + | 0.364383i | 0.810323 | − | 0.585984i | \(-0.199292\pi\) |
0.311132 | + | 0.950367i | \(0.399292\pi\) | |||||||
\(270\) | −14.5565 | − | 7.62290i | −0.885880 | − | 0.463915i | ||||
\(271\) | −9.62907 | + | 3.12868i | −0.584924 | + | 0.190053i | −0.586505 | − | 0.809945i | \(-0.699497\pi\) |
0.00158099 | + | 0.999999i | \(0.499497\pi\) | |||||||
\(272\) | −8.71113 | − | 14.9118i | −0.528190 | − | 0.904158i | ||||
\(273\) | 2.33103 | − | 1.73889i | 0.141080 | − | 0.105242i | ||||
\(274\) | −1.41953 | − | 1.27487i | −0.0857568 | − | 0.0770178i | ||||
\(275\) | −15.8555 | + | 27.7316i | −0.956123 | + | 1.67228i | ||||
\(276\) | −0.0820371 | − | 0.0161421i | −0.00493805 | − | 0.000971642i | ||||
\(277\) | 0.984629 | − | 1.35523i | 0.0591606 | − | 0.0814276i | −0.778412 | − | 0.627754i | \(-0.783974\pi\) |
0.837572 | + | 0.546327i | \(0.183974\pi\) | |||||||
\(278\) | 16.7672 | + | 7.43963i | 1.00563 | + | 0.446199i | ||||
\(279\) | 26.1303 | + | 7.76787i | 1.56438 | + | 0.465050i | ||||
\(280\) | 0.356477 | − | 3.59689i | 0.0213036 | − | 0.214955i | ||||
\(281\) | 6.69110 | + | 2.17407i | 0.399158 | + | 0.129694i | 0.501715 | − | 0.865033i | \(-0.332703\pi\) |
−0.102557 | + | 0.994727i | \(0.532703\pi\) | |||||||
\(282\) | 7.69931 | − | 4.58883i | 0.458487 | − | 0.273261i | ||||
\(283\) | 0.0631316 | − | 0.194299i | 0.00375278 | − | 0.0115499i | −0.949163 | − | 0.314786i | \(-0.898067\pi\) |
0.952915 | + | 0.303236i | \(0.0980672\pi\) | |||||||
\(284\) | 4.41796 | + | 4.88152i | 0.262158 | + | 0.289665i | ||||
\(285\) | 4.96044 | − | 2.96203i | 0.293831 | − | 0.175455i | ||||
\(286\) | −25.9576 | + | 5.55209i | −1.53490 | + | 0.328302i | ||||
\(287\) | 1.38710 | + | 1.90918i | 0.0818778 | + | 0.112695i | ||||
\(288\) | −14.9576 | − | 8.01690i | −0.881384 | − | 0.472400i | ||||
\(289\) | −1.32700 | − | 0.964124i | −0.0780590 | − | 0.0567132i | ||||
\(290\) | 0.773583 | − | 3.70093i | 0.0454264 | − | 0.217326i | ||||
\(291\) | −5.84229 | − | 17.2385i | −0.342481 | − | 1.01054i | ||||
\(292\) | −3.48549 | + | 16.6063i | −0.203973 | + | 0.971809i | ||||
\(293\) | −12.9095 | −0.754182 | −0.377091 | − | 0.926176i | \(-0.623076\pi\) | ||||
−0.377091 | + | 0.926176i | \(0.623076\pi\) | |||||||
\(294\) | −15.9405 | + | 3.62018i | −0.929667 | + | 0.211133i | ||||
\(295\) | 13.7183 | + | 1.41265i | 0.798709 | + | 0.0822474i | ||||
\(296\) | −7.13779 | + | 22.2575i | −0.414876 | + | 1.29369i | ||||
\(297\) | −18.4839 | + | 27.5757i | −1.07255 | + | 1.60011i | ||||
\(298\) | 21.0682 | − | 4.50630i | 1.22045 | − | 0.261043i | ||||
\(299\) | −0.0709099 | −0.00410083 | ||||||||
\(300\) | −14.8295 | + | 8.94912i | −0.856180 | + | 0.516678i | ||||
\(301\) | −1.39242 | −0.0802580 | ||||||||
\(302\) | 10.9256 | − | 2.33689i | 0.628699 | − | 0.134473i | ||||
\(303\) | 17.1923 | − | 0.216673i | 0.987673 | − | 0.0124475i | ||||
\(304\) | 5.15225 | − | 3.00984i | 0.295502 | − | 0.172626i | ||||
\(305\) | −4.88288 | − | 22.7366i | −0.279593 | − | 1.30189i | ||||
\(306\) | −18.2613 | − | 1.43167i | −1.04393 | − | 0.0818429i | ||||
\(307\) | −16.8845 | −0.963647 | −0.481823 | − | 0.876268i | \(-0.660025\pi\) | ||||
−0.481823 | + | 0.876268i | \(0.660025\pi\) | |||||||
\(308\) | −7.14681 | − | 1.50004i | −0.407227 | − | 0.0854728i | ||||
\(309\) | 10.6485 | − | 3.60889i | 0.605773 | − | 0.205303i | ||||
\(310\) | 21.2891 | − | 19.2996i | 1.20914 | − | 1.09614i | ||||
\(311\) | 9.58877 | + | 6.96665i | 0.543729 | + | 0.395043i | 0.825468 | − | 0.564449i | \(-0.190911\pi\) |
−0.281739 | + | 0.959491i | \(0.590911\pi\) | |||||||
\(312\) | −13.7596 | − | 4.22210i | −0.778982 | − | 0.239029i | ||||
\(313\) | −11.9954 | − | 16.5102i | −0.678019 | − | 0.933213i | 0.321889 | − | 0.946777i | \(-0.395682\pi\) |
−0.999908 | + | 0.0135646i | \(0.995682\pi\) | |||||||
\(314\) | 10.1981 | − | 2.18129i | 0.575513 | − | 0.123097i | ||||
\(315\) | −2.91804 | − | 2.48654i | −0.164413 | − | 0.140101i | ||||
\(316\) | 9.05165 | − | 8.19208i | 0.509195 | − | 0.460841i | ||||
\(317\) | 5.62883 | − | 17.3238i | 0.316147 | − | 0.972999i | −0.659133 | − | 0.752026i | \(-0.729077\pi\) |
0.975280 | − | 0.220973i | \(-0.0709233\pi\) | |||||||
\(318\) | −7.30151 | − | 12.2507i | −0.409448 | − | 0.686987i | ||||
\(319\) | −7.26486 | − | 2.36050i | −0.406754 | − | 0.132162i | ||||
\(320\) | −15.4039 | + | 9.09512i | −0.861102 | + | 0.508433i | ||||
\(321\) | −22.7275 | + | 0.286432i | −1.26852 | + | 0.0159871i | ||||
\(322\) | −0.0178312 | − | 0.00791169i | −0.000993692 | − | 0.000440901i | ||||
\(323\) | 3.78564 | − | 5.21049i | 0.210639 | − | 0.289919i | ||||
\(324\) | −16.0332 | + | 8.18148i | −0.890733 | + | 0.454527i | ||||
\(325\) | −10.8750 | + | 9.87513i | −0.603235 | + | 0.547773i | ||||
\(326\) | −18.9774 | − | 17.0435i | −1.05106 | − | 0.943952i | ||||
\(327\) | 7.21802 | + | 9.67595i | 0.399158 | + | 0.535081i | ||||
\(328\) | 3.56651 | − | 11.1213i | 0.196928 | − | 0.614072i | ||||
\(329\) | 1.98888 | − | 0.646225i | 0.109650 | − | 0.0356275i | ||||
\(330\) | 14.7422 | + | 31.7363i | 0.811531 | + | 1.74703i | ||||
\(331\) | 13.5418 | + | 4.40001i | 0.744327 | + | 0.241847i | 0.656538 | − | 0.754293i | \(-0.272020\pi\) |
0.0877887 | + | 0.996139i | \(0.472020\pi\) | |||||||
\(332\) | −2.48811 | + | 0.267935i | −0.136553 | + | 0.0147049i | ||||
\(333\) | 15.0732 | + | 19.6835i | 0.826004 | + | 1.07865i | ||||
\(334\) | 1.43422 | − | 13.8154i | 0.0784773 | − | 0.755943i | ||||
\(335\) | 19.3847 | − | 11.2463i | 1.05910 | − | 0.614449i | ||||
\(336\) | −2.98894 | − | 2.59691i | −0.163060 | − | 0.141673i | ||||
\(337\) | 10.1859 | + | 14.0198i | 0.554864 | + | 0.763705i | 0.990662 | − | 0.136340i | \(-0.0435339\pi\) |
−0.435798 | + | 0.900044i | \(0.643534\pi\) | |||||||
\(338\) | 6.14521 | + | 0.637958i | 0.334255 | + | 0.0347003i | ||||
\(339\) | 2.77126 | + | 3.71494i | 0.150514 | + | 0.201768i | ||||
\(340\) | −11.2762 | + | 15.6733i | −0.611536 | + | 0.850006i | ||||
\(341\) | −34.1235 | − | 46.9670i | −1.84789 | − | 2.54341i | ||||
\(342\) | 0.494664 | − | 6.30958i | 0.0267483 | − | 0.341183i | ||||
\(343\) | −7.81441 | −0.421938 | ||||||||
\(344\) | 4.07188 | + | 5.55957i | 0.219541 | + | 0.299752i | ||||
\(345\) | 0.0207781 | + | 0.0911405i | 0.00111865 | + | 0.00490684i | ||||
\(346\) | −7.18410 | + | 16.1914i | −0.386220 | + | 0.870453i | ||||
\(347\) | −7.16370 | + | 2.32763i | −0.384568 | + | 0.124954i | −0.494919 | − | 0.868939i | \(-0.664802\pi\) |
0.110351 | + | 0.993893i | \(0.464802\pi\) | |||||||
\(348\) | −2.81772 | − | 3.03560i | −0.151046 | − | 0.162725i | ||||
\(349\) | −29.9877 | −1.60521 | −0.802604 | − | 0.596513i | \(-0.796553\pi\) | ||||
−0.802604 | + | 0.596513i | \(0.796553\pi\) | |||||||
\(350\) | −3.83645 | + | 1.26986i | −0.205067 | + | 0.0678768i | ||||
\(351\) | −12.0023 | + | 9.43344i | −0.640637 | + | 0.503520i | ||||
\(352\) | 14.9102 | + | 32.9218i | 0.794719 | + | 1.75474i | ||||
\(353\) | 5.71654 | + | 17.5937i | 0.304261 | + | 0.936419i | 0.979952 | + | 0.199234i | \(0.0638454\pi\) |
−0.675691 | + | 0.737185i | \(0.736155\pi\) | |||||||
\(354\) | 9.95183 | − | 11.3660i | 0.528934 | − | 0.604094i | ||||
\(355\) | 2.97983 | − | 6.73091i | 0.158153 | − | 0.357240i | ||||
\(356\) | 6.10546 | − | 29.0889i | 0.323589 | − | 1.54171i | ||||
\(357\) | −4.08087 | − | 1.26933i | −0.215983 | − | 0.0671800i | ||||
\(358\) | 12.5079 | − | 7.24277i | 0.661066 | − | 0.382792i | ||||
\(359\) | −10.7589 | + | 7.81678i | −0.567832 | + | 0.412554i | −0.834317 | − | 0.551285i | \(-0.814138\pi\) |
0.266485 | + | 0.963839i | \(0.414138\pi\) | |||||||
\(360\) | −1.39482 | + | 18.9223i | −0.0735135 | + | 0.997294i | ||||
\(361\) | −13.5710 | − | 9.85992i | −0.714264 | − | 0.518943i | ||||
\(362\) | −31.8643 | − | 3.30796i | −1.67475 | − | 0.173862i | ||||
\(363\) | 48.9129 | − | 16.5771i | 2.56726 | − | 0.870071i | ||||
\(364\) | −2.91244 | − | 1.67160i | −0.152654 | − | 0.0876157i | ||||
\(365\) | 18.5480 | − | 3.98335i | 0.970848 | − | 0.208498i | ||||
\(366\) | −23.4137 | − | 10.0375i | −1.22386 | − | 0.524667i | ||||
\(367\) | −1.95631 | + | 6.02092i | −0.102119 | + | 0.314289i | −0.989043 | − | 0.147625i | \(-0.952837\pi\) |
0.886925 | + | 0.461914i | \(0.152837\pi\) | |||||||
\(368\) | 0.0205547 | + | 0.0943312i | 0.00107149 | + | 0.00491735i | ||||
\(369\) | −7.53154 | − | 9.83515i | −0.392077 | − | 0.511997i | ||||
\(370\) | 25.9804 | − | 2.81953i | 1.35066 | − | 0.146581i | ||||
\(371\) | −1.02824 | − | 3.16459i | −0.0533835 | − | 0.164298i | ||||
\(372\) | −3.76435 | − | 31.2517i | −0.195172 | − | 1.62033i | ||||
\(373\) | 8.27640 | − | 11.3915i | 0.428536 | − | 0.589829i | −0.539080 | − | 0.842254i | \(-0.681228\pi\) |
0.967616 | + | 0.252425i | \(0.0812281\pi\) | |||||||
\(374\) | 29.0226 | + | 26.0651i | 1.50072 | + | 1.34779i | ||||
\(375\) | 15.8791 | + | 11.0840i | 0.819992 | + | 0.572374i | ||||
\(376\) | −8.39629 | − | 6.05127i | −0.433006 | − | 0.312071i | ||||
\(377\) | −2.84180 | − | 2.06469i | −0.146360 | − | 0.106337i | ||||
\(378\) | −4.07066 | + | 1.03301i | −0.209372 | + | 0.0531321i | ||||
\(379\) | −5.02371 | + | 1.63230i | −0.258051 | + | 0.0838458i | −0.435185 | − | 0.900341i | \(-0.643317\pi\) |
0.177135 | + | 0.984187i | \(0.443317\pi\) | |||||||
\(380\) | −5.41539 | − | 3.89610i | −0.277804 | − | 0.199865i | ||||
\(381\) | 0.681721 | − | 0.963616i | 0.0349256 | − | 0.0493675i | ||||
\(382\) | 12.4525 | + | 11.1836i | 0.637126 | + | 0.572200i | ||||
\(383\) | −16.8153 | − | 5.46361i | −0.859219 | − | 0.279177i | −0.153917 | − | 0.988084i | \(-0.549189\pi\) |
−0.705302 | + | 0.708907i | \(0.749189\pi\) | |||||||
\(384\) | −1.62815 | + | 19.5282i | −0.0830862 | + | 0.996542i | ||||
\(385\) | 1.71431 | + | 7.98248i | 0.0873691 | + | 0.406825i | ||||
\(386\) | −1.11585 | + | 0.238670i | −0.0567953 | + | 0.0121480i | ||||
\(387\) | 7.30693 | − | 0.184206i | 0.371432 | − | 0.00936372i | ||||
\(388\) | −15.5830 | + | 14.1032i | −0.791106 | + | 0.715981i | ||||
\(389\) | 3.77356 | − | 5.19386i | 0.191327 | − | 0.263339i | −0.702567 | − | 0.711618i | \(-0.747963\pi\) |
0.893894 | + | 0.448279i | \(0.147963\pi\) | |||||||
\(390\) | 1.93761 | + | 15.9745i | 0.0981149 | + | 0.808902i | ||||
\(391\) | 0.0612510 | + | 0.0843047i | 0.00309759 | + | 0.00426347i | ||||
\(392\) | 11.1529 | + | 15.2277i | 0.563309 | + | 0.769117i | ||||
\(393\) | 26.0524 | + | 8.10343i | 1.31417 | + | 0.408764i | ||||
\(394\) | −22.5484 | + | 13.0567i | −1.13597 | + | 0.657787i | ||||
\(395\) | −12.4809 | − | 5.52540i | −0.627983 | − | 0.278013i | ||||
\(396\) | 37.7023 | + | 6.92620i | 1.89461 | + | 0.348055i | ||||
\(397\) | 23.7613 | − | 7.72051i | 1.19254 | − | 0.387481i | 0.355531 | − | 0.934664i | \(-0.384300\pi\) |
0.837013 | + | 0.547183i | \(0.184300\pi\) | |||||||
\(398\) | −15.3029 | + | 3.27315i | −0.767065 | + | 0.164068i | ||||
\(399\) | 0.438573 | − | 1.41001i | 0.0219561 | − | 0.0705887i | ||||
\(400\) | 16.2892 | + | 11.6044i | 0.814459 | + | 0.580222i | ||||
\(401\) | 9.88161i | 0.493464i | 0.969084 | + | 0.246732i | \(0.0793567\pi\) | ||||
−0.969084 | + | 0.246732i | \(0.920643\pi\) | |||||||
\(402\) | 2.22707 | − | 24.4486i | 0.111076 | − | 1.21939i | ||||
\(403\) | −8.24959 | − | 25.3896i | −0.410942 | − | 1.26475i | ||||
\(404\) | −8.12145 | − | 18.1165i | −0.404057 | − | 0.901328i | ||||
\(405\) | 15.6417 | + | 12.6624i | 0.777243 | + | 0.629200i | ||||
\(406\) | −0.484240 | − | 0.836262i | −0.0240324 | − | 0.0415030i | ||||
\(407\) | − | 52.7974i | − | 2.61707i | ||||||
\(408\) | 6.86567 | + | 20.0057i | 0.339901 | + | 0.990431i | ||||
\(409\) | 4.17728 | − | 3.03497i | 0.206553 | − | 0.150070i | −0.479700 | − | 0.877433i | \(-0.659254\pi\) |
0.686253 | + | 0.727363i | \(0.259254\pi\) | |||||||
\(410\) | −12.9815 | + | 1.40882i | −0.641112 | + | 0.0695768i | ||||
\(411\) | 1.39724 | + | 1.87303i | 0.0689207 | + | 0.0923900i | ||||
\(412\) | −8.71179 | − | 9.62589i | −0.429199 | − | 0.474234i | ||||
\(413\) | 2.85156 | − | 2.07178i | 0.140316 | − | 0.101946i | ||||
\(414\) | 0.0946180 | + | 0.0391587i | 0.00465022 | + | 0.00192455i | ||||
\(415\) | 1.40404 | + | 2.42008i | 0.0689216 | + | 0.118797i | ||||
\(416\) | 1.84265 | + | 16.5169i | 0.0903433 | + | 0.809806i | ||||
\(417\) | −18.3406 | − | 12.9752i | −0.898141 | − | 0.635400i | ||||
\(418\) | −9.00591 | + | 10.0278i | −0.440494 | + | 0.490475i | ||||
\(419\) | 0.814332 | − | 2.50625i | 0.0397827 | − | 0.122439i | −0.929193 | − | 0.369595i | \(-0.879496\pi\) |
0.968975 | + | 0.247157i | \(0.0794963\pi\) | |||||||
\(420\) | −1.29510 | + | 4.23318i | −0.0631945 | + | 0.206558i | ||||
\(421\) | 5.25352 | + | 16.1687i | 0.256041 | + | 0.788012i | 0.993623 | + | 0.112755i | \(0.0359675\pi\) |
−0.737582 | + | 0.675257i | \(0.764033\pi\) | |||||||
\(422\) | 30.0375 | + | 13.3276i | 1.46220 | + | 0.648779i | ||||
\(423\) | −10.3514 | + | 3.65426i | −0.503302 | + | 0.177676i | ||||
\(424\) | −9.62847 | + | 13.3597i | −0.467600 | + | 0.648806i | ||||
\(425\) | 21.1342 | + | 4.39925i | 1.02516 | + | 0.213395i | ||||
\(426\) | −4.12832 | − | 6.92665i | −0.200018 | − | 0.335597i | ||||
\(427\) | −4.80849 | − | 3.49357i | −0.232699 | − | 0.169066i | ||||
\(428\) | 10.7362 | + | 23.9492i | 0.518954 | + | 1.15763i | ||||
\(429\) | 32.5079 | − | 0.409693i | 1.56950 | − | 0.0197802i | ||||
\(430\) | 3.82972 | − | 6.68539i | 0.184686 | − | 0.322398i | ||||
\(431\) | −1.46991 | + | 4.52393i | −0.0708032 | + | 0.217910i | −0.980196 | − | 0.198028i | \(-0.936546\pi\) |
0.909393 | + | 0.415937i | \(0.136546\pi\) | |||||||
\(432\) | 16.0284 | + | 13.2322i | 0.771166 | + | 0.636634i | ||||
\(433\) | 22.8496 | + | 7.42429i | 1.09808 | + | 0.356789i | 0.801365 | − | 0.598176i | \(-0.204108\pi\) |
0.296718 | + | 0.954965i | \(0.404108\pi\) | |||||||
\(434\) | 0.758357 | − | 7.30497i | 0.0364023 | − | 0.350650i | ||||
\(435\) | −1.82104 | + | 4.25756i | −0.0873121 | + | 0.204134i | ||||
\(436\) | 6.93871 | − | 12.0894i | 0.332304 | − | 0.578976i | ||||
\(437\) | −0.0291287 | + | 0.0211632i | −0.00139341 | + | 0.00101237i | ||||
\(438\) | 8.18835 | − | 19.1004i | 0.391255 | − | 0.912654i | ||||
\(439\) | −12.8074 | + | 17.6279i | −0.611265 | + | 0.841335i | −0.996681 | − | 0.0814086i | \(-0.974058\pi\) |
0.385415 | + | 0.922743i | \(0.374058\pi\) | |||||||
\(440\) | 26.8587 | − | 30.1880i | 1.28044 | − | 1.43916i | ||||
\(441\) | 20.0138 | − | 0.504543i | 0.953038 | − | 0.0240259i | ||||
\(442\) | 8.98894 | + | 15.5235i | 0.427560 | + | 0.738378i | ||||
\(443\) | − | 4.33324i | − | 0.205878i | −0.994688 | − | 0.102939i | \(-0.967175\pi\) | ||
0.994688 | − | 0.102939i | \(-0.0328247\pi\) | |||||||
\(444\) | 13.9363 | − | 25.0060i | 0.661386 | − | 1.18673i | ||||
\(445\) | −32.4902 | + | 6.97755i | −1.54018 | + | 0.330768i | ||||
\(446\) | 2.84593 | − | 6.41409i | 0.134759 | − | 0.303716i | ||||
\(447\) | −26.3847 | + | 0.332523i | −1.24795 | + | 0.0157278i | ||||
\(448\) | −1.37949 | + | 4.35896i | −0.0651750 | + | 0.205942i | ||||
\(449\) | − | 2.83535i | − | 0.133809i | −0.997759 | − | 0.0669043i | \(-0.978688\pi\) | ||
0.997759 | − | 0.0669043i | \(-0.0213122\pi\) | |||||||
\(450\) | 19.9643 | − | 7.17128i | 0.941125 | − | 0.338057i | ||||
\(451\) | 26.3811i | 1.24224i | ||||||||
\(452\) | 2.66402 | − | 4.64154i | 0.125305 | − | 0.218319i | ||||
\(453\) | −13.6827 | + | 0.172441i | −0.642869 | + | 0.00810200i | ||||
\(454\) | −5.12918 | − | 2.27582i | −0.240724 | − | 0.106809i | ||||
\(455\) | −0.384580 | + | 3.73468i | −0.0180294 | + | 0.175084i | ||||
\(456\) | −6.91230 | + | 2.37220i | −0.323698 | + | 0.111088i | ||||
\(457\) | 24.8353i | 1.16174i | 0.813995 | + | 0.580872i | \(0.197288\pi\) | ||||
−0.813995 | + | 0.580872i | \(0.802712\pi\) | |||||||
\(458\) | 21.0537 | − | 12.1912i | 0.983774 | − | 0.569658i | ||||
\(459\) | 21.5828 | + | 6.12110i | 1.00740 | + | 0.285708i | ||||
\(460\) | 0.0870289 | − | 0.0638518i | 0.00405774 | − | 0.00297711i | ||||
\(461\) | 2.65120 | − | 3.64907i | 0.123479 | − | 0.169954i | −0.742802 | − | 0.669511i | \(-0.766504\pi\) |
0.866281 | + | 0.499557i | \(0.166504\pi\) | |||||||
\(462\) | 8.22022 | + | 3.52401i | 0.382439 | + | 0.163952i | ||||
\(463\) | −12.2189 | + | 8.87753i | −0.567859 | + | 0.412574i | −0.834327 | − | 0.551270i | \(-0.814143\pi\) |
0.266468 | + | 0.963844i | \(0.414143\pi\) | |||||||
\(464\) | −1.92289 | + | 4.37893i | −0.0892682 | + | 0.203287i | ||||
\(465\) | −30.2160 | + | 18.0429i | −1.40123 | + | 0.836719i | ||||
\(466\) | 16.4922 | + | 1.71212i | 0.763988 | + | 0.0793125i | ||||
\(467\) | 30.6627 | + | 9.96291i | 1.41890 | + | 0.461028i | 0.915252 | − | 0.402881i | \(-0.131991\pi\) |
0.503647 | + | 0.863909i | \(0.331991\pi\) | |||||||
\(468\) | 15.5046 | + | 8.38666i | 0.716699 | + | 0.387673i | ||||
\(469\) | 1.77001 | − | 5.44752i | 0.0817313 | − | 0.251543i | ||||
\(470\) | −2.36751 | + | 11.3265i | −0.109205 | + | 0.522452i | ||||
\(471\) | −12.7716 | + | 0.160959i | −0.588484 | + | 0.00741660i | ||||
\(472\) | −16.6109 | − | 5.32697i | −0.764579 | − | 0.245194i | ||||
\(473\) | −12.5931 | − | 9.14943i | −0.579032 | − | 0.420691i | ||||
\(474\) | −12.8439 | + | 7.65501i | −0.589938 | + | 0.351606i | ||||
\(475\) | −1.52001 | + | 7.30220i | −0.0697430 | + | 0.335048i | ||||
\(476\) | 0.528363 | + | 4.90651i | 0.0242175 | + | 0.224889i | ||||
\(477\) | 5.81447 | + | 16.4706i | 0.266226 | + | 0.754137i | ||||
\(478\) | −12.2996 | + | 27.7206i | −0.562572 | + | 1.26791i | ||||
\(479\) | −2.77236 | − | 8.53244i | −0.126672 | − | 0.389857i | 0.867530 | − | 0.497385i | \(-0.165706\pi\) |
−0.994202 | + | 0.107528i | \(0.965706\pi\) | |||||||
\(480\) | 20.6892 | − | 7.20814i | 0.944328 | − | 0.329005i | ||||
\(481\) | 7.50257 | − | 23.0905i | 0.342088 | − | 1.05284i | ||||
\(482\) | 21.2548 | + | 19.0889i | 0.968131 | + | 0.869474i | ||||
\(483\) | 0.0195043 | + | 0.0137986i | 0.000887477 | + | 0.000627856i | ||||
\(484\) | −40.0168 | − | 44.2156i | −1.81894 | − | 2.00980i | ||||
\(485\) | 21.4867 | + | 9.51232i | 0.975660 | + | 0.431932i | ||||
\(486\) | 21.2247 | − | 5.95935i | 0.962770 | − | 0.270322i | ||||
\(487\) | −27.1630 | + | 19.7351i | −1.23087 | + | 0.894282i | −0.996955 | − | 0.0779738i | \(-0.975155\pi\) |
−0.233919 | + | 0.972256i | \(0.575155\pi\) | |||||||
\(488\) | 0.112645 | + | 29.4153i | 0.00509920 | + | 1.33157i | ||||
\(489\) | 18.6794 | + | 25.0402i | 0.844712 | + | 1.13236i | ||||
\(490\) | 10.4897 | − | 18.3114i | 0.473875 | − | 0.827225i | ||||
\(491\) | −8.80114 | + | 6.39440i | −0.397190 | + | 0.288575i | −0.768395 | − | 0.639975i | \(-0.778945\pi\) |
0.371206 | + | 0.928551i | \(0.378945\pi\) | |||||||
\(492\) | −6.96347 | + | 12.4946i | −0.313938 | + | 0.563302i | ||||
\(493\) | 5.16206i | 0.232488i | ||||||||
\(494\) | −5.36362 | + | 3.10583i | −0.241321 | + | 0.139738i | ||||
\(495\) | −10.0521 | − | 41.6623i | −0.451807 | − | 1.87258i | ||||
\(496\) | −31.3844 | + | 18.3341i | −1.40920 | + | 0.823226i | ||||
\(497\) | −0.581373 | − | 1.78928i | −0.0260782 | − | 0.0802603i | ||||
\(498\) | 3.05229 | + | 0.278038i | 0.136776 | + | 0.0124592i | ||||
\(499\) | 36.8000i | 1.64739i | 0.567031 | + | 0.823696i | \(0.308092\pi\) | ||||
−0.567031 | + | 0.823696i | \(0.691908\pi\) | |||||||
\(500\) | 4.45484 | − | 21.9124i | 0.199227 | − | 0.979953i | ||||
\(501\) | −5.05246 | + | 16.2436i | −0.225727 | + | 0.725710i | ||||
\(502\) | 0.0373670 | + | 0.174701i | 0.00166777 | + | 0.00779729i | ||||
\(503\) | −30.1117 | + | 9.78388i | −1.34261 | + | 0.436242i | −0.890201 | − | 0.455567i | \(-0.849437\pi\) |
−0.452413 | + | 0.891809i | \(0.649437\pi\) | |||||||
\(504\) | 2.96308 | + | 3.83883i | 0.131986 | + | 0.170995i | ||||
\(505\) | −14.8179 | + | 16.5268i | −0.659388 | + | 0.735433i | ||||
\(506\) | −0.109279 | − | 0.188720i | −0.00485803 | − | 0.00838961i | ||||
\(507\) | −7.22531 | − | 2.24738i | −0.320887 | − | 0.0998098i | ||||
\(508\) | −1.33392 | − | 0.279976i | −0.0591832 | − | 0.0124219i | ||||
\(509\) | −10.2980 | − | 14.1740i | −0.456452 | − | 0.628252i | 0.517316 | − | 0.855794i | \(-0.326931\pi\) |
−0.973768 | + | 0.227542i | \(0.926931\pi\) | |||||||
\(510\) | 17.3184 | − | 16.1022i | 0.766872 | − | 0.713017i | ||||
\(511\) | 2.84998 | − | 3.92267i | 0.126076 | − | 0.173529i | ||||
\(512\) | 21.4382 | − | 7.23902i | 0.947444 | − | 0.319922i | ||||
\(513\) | −2.11494 | + | 7.45722i | −0.0933769 | + | 0.329244i | ||||
\(514\) | −6.98304 | − | 32.6477i | −0.308009 | − | 1.44003i | ||||
\(515\) | −5.87593 | + | 13.2727i | −0.258924 | + | 0.584866i | ||||
\(516\) | −3.54931 | − | 7.65741i | −0.156250 | − | 0.337099i | ||||
\(517\) | 22.2337 | + | 7.22417i | 0.977837 | + | 0.317718i | ||||
\(518\) | 4.46291 | − | 4.96931i | 0.196089 | − | 0.218339i | ||||
\(519\) | 12.5296 | − | 17.7106i | 0.549988 | − | 0.777410i | ||||
\(520\) | 16.0362 | − | 9.38584i | 0.703233 | − | 0.411596i | ||||
\(521\) | −17.5685 | + | 5.70837i | −0.769692 | + | 0.250088i | −0.667433 | − | 0.744670i | \(-0.732607\pi\) |
−0.102259 | + | 0.994758i | \(0.532607\pi\) | |||||||
\(522\) | 2.65175 | + | 4.32433i | 0.116064 | + | 0.189271i | ||||
\(523\) | 11.3725 | + | 8.26263i | 0.497286 | + | 0.361300i | 0.807979 | − | 0.589211i | \(-0.200561\pi\) |
−0.310693 | + | 0.950510i | \(0.600561\pi\) | |||||||
\(524\) | −3.37308 | − | 31.3233i | −0.147354 | − | 1.36836i | ||||
\(525\) | 4.91287 | − | 0.600037i | 0.214415 | − | 0.0261878i | ||||
\(526\) | −10.0265 | + | 11.1641i | −0.437175 | + | 0.486780i | ||||
\(527\) | −23.0598 | + | 31.7391i | −1.00450 | + | 1.38258i | ||||
\(528\) | −9.96808 | − | 43.1264i | −0.433805 | − | 1.87683i | ||||
\(529\) | 7.10721 | + | 21.8737i | 0.309009 | + | 0.951032i | ||||
\(530\) | 18.0221 | + | 3.76705i | 0.782831 | + | 0.163630i | ||||
\(531\) | −14.6899 | + | 11.2492i | −0.637486 | + | 0.488173i | ||||
\(532\) | −1.69528 | + | 0.182558i | −0.0734996 | + | 0.00791489i | ||||
\(533\) | −3.74878 | + | 11.5375i | −0.162378 | + | 0.499747i | ||||
\(534\) | −14.3434 | + | 33.4578i | −0.620699 | + | 1.44786i | ||||
\(535\) | 19.5886 | − | 21.8477i | 0.846889 | − | 0.944558i | ||||
\(536\) | −26.9265 | + | 8.86310i | −1.16305 | + | 0.382827i | ||||
\(537\) | −16.7653 | + | 5.68194i | −0.723476 | + | 0.245194i | ||||
\(538\) | −2.82419 | + | 27.2044i | −0.121759 | + | 1.17286i | ||||
\(539\) | −34.4927 | − | 25.0604i | −1.48571 | − | 1.07943i | ||||
\(540\) | 6.23620 | − | 22.3855i | 0.268363 | − | 0.963318i | ||||
\(541\) | 12.5133 | − | 9.09146i | 0.537989 | − | 0.390872i | −0.285348 | − | 0.958424i | \(-0.592109\pi\) |
0.823338 | + | 0.567552i | \(0.192109\pi\) | |||||||
\(542\) | −7.17500 | − | 12.3909i | −0.308193 | − | 0.532235i | ||||
\(543\) | 37.4649 | + | 11.6532i | 1.60777 | + | 0.500087i | ||||
\(544\) | 18.0452 | − | 16.4578i | 0.773683 | − | 0.705621i | ||||
\(545\) | −15.5024 | − | 1.59637i | −0.664050 | − | 0.0683809i | ||||
\(546\) | 3.09428 | + | 2.70930i | 0.132423 | + | 0.115947i | ||||
\(547\) | −11.2529 | − | 34.6330i | −0.481140 | − | 1.48080i | −0.837494 | − | 0.546447i | \(-0.815980\pi\) |
0.356353 | − | 0.934351i | \(-0.384020\pi\) | |||||||
\(548\) | 1.34317 | − | 2.34021i | 0.0573774 | − | 0.0999690i | ||||
\(549\) | 25.6954 | + | 17.6969i | 1.09665 | + | 0.755284i | ||||
\(550\) | −43.0410 | − | 13.7242i | −1.83527 | − | 0.585200i | ||||
\(551\) | −1.78358 | −0.0759829 | ||||||||
\(552\) | −0.00194284 | − | 0.118227i | −8.26926e−5 | − | 0.00503206i | ||||
\(553\) | −3.31781 | + | 1.07802i | −0.141088 | + | 0.0458421i | ||||
\(554\) | 2.16544 | + | 0.960804i | 0.0920006 | + | 0.0408207i | ||||
\(555\) | −31.8766 | − | 2.87704i | −1.35309 | − | 0.122124i | ||||
\(556\) | −5.32880 | + | 25.3886i | −0.225992 | + | 1.07672i | ||||
\(557\) | −20.0422 | −0.849217 | −0.424609 | − | 0.905377i | \(-0.639588\pi\) | ||||
−0.424609 | + | 0.905377i | \(0.639588\pi\) | |||||||
\(558\) | −3.01319 | + | 38.4341i | −0.127559 | + | 1.62705i | ||||
\(559\) | −4.20735 | − | 5.79093i | −0.177952 | − | 0.244930i | ||||
\(560\) | 5.07971 | − | 0.570967i | 0.214657 | − | 0.0241277i | ||||
\(561\) | −28.5669 | − | 38.2947i | −1.20610 | − | 1.61680i | ||||
\(562\) | −1.02739 | + | 9.89643i | −0.0433377 | + | 0.417456i | ||||
\(563\) | −24.7307 | − | 34.0389i | −1.04227 | − | 1.43457i | −0.895320 | − | 0.445424i | \(-0.853053\pi\) |
−0.146954 | − | 0.989143i | \(-0.546947\pi\) | |||||||
\(564\) | 8.62348 | + | 9.29027i | 0.363114 | + | 0.391191i | ||||
\(565\) | −5.95192 | − | 0.612902i | −0.250399 | − | 0.0257850i | ||||
\(566\) | 0.287377 | + | 0.0298337i | 0.0120793 | + | 0.00125400i | ||||
\(567\) | 5.13701 | − | 0.259170i | 0.215734 | − | 0.0108841i | ||||
\(568\) | −5.44400 | + | 7.55369i | −0.228425 | + | 0.316946i | ||||
\(569\) | 15.1642 | + | 4.92713i | 0.635715 | + | 0.206556i | 0.609105 | − | 0.793090i | \(-0.291529\pi\) |
0.0266098 | + | 0.999646i | \(0.491529\pi\) | |||||||
\(570\) | 5.56357 | + | 5.98379i | 0.233032 | + | 0.250633i | ||||
\(571\) | 16.0674 | − | 5.22061i | 0.672399 | − | 0.218476i | 0.0471346 | − | 0.998889i | \(-0.484991\pi\) |
0.625265 | + | 0.780413i | \(0.284991\pi\) | |||||||
\(572\) | −15.3563 | − | 34.2553i | −0.642081 | − | 1.43228i | ||||
\(573\) | −12.2570 | − | 16.4308i | −0.512043 | − | 0.686407i | ||||
\(574\) | −2.22996 | + | 2.48299i | −0.0930769 | + | 0.103638i | ||||
\(575\) | −0.104766 | − | 0.0598997i | −0.00436904 | − | 0.00249799i | ||||
\(576\) | 6.66242 | − | 23.0567i | 0.277601 | − | 0.960696i | ||||
\(577\) | 5.49519 | − | 7.56348i | 0.228768 | − | 0.314872i | −0.679167 | − | 0.733984i | \(-0.737659\pi\) |
0.907934 | + | 0.419112i | \(0.137659\pi\) | |||||||
\(578\) | 0.940795 | − | 2.12034i | 0.0391319 | − | 0.0881946i | ||||
\(579\) | 1.39743 | − | 0.0176117i | 0.0580753 | − | 0.000731916i | ||||
\(580\) | 5.34697 | − | 0.0249113i | 0.222021 | − | 0.00103439i | ||||
\(581\) | 0.680096 | + | 0.220977i | 0.0282151 | + | 0.00916765i | ||||
\(582\) | 22.1115 | − | 13.1786i | 0.916551 | − | 0.546270i | ||||
\(583\) | 11.4947 | − | 35.3771i | 0.476062 | − | 1.46517i | ||||
\(584\) | −23.9964 | + | 0.0918935i | −0.992977 | + | 0.00380258i | ||||
\(585\) | 1.52407 | − | 19.6491i | 0.0630125 | − | 0.812390i | ||||
\(586\) | −3.81860 | − | 17.8530i | −0.157745 | − | 0.737501i | ||||
\(587\) | 20.7312 | + | 28.5341i | 0.855669 | + | 1.17773i | 0.982585 | + | 0.185814i | \(0.0594923\pi\) |
−0.126916 | + | 0.991914i | \(0.540508\pi\) | |||||||
\(588\) | −9.72161 | − | 20.9738i | −0.400912 | − | 0.864943i | ||||
\(589\) | −10.9664 | − | 7.96755i | −0.451862 | − | 0.328297i | ||||
\(590\) | 2.10423 | + | 19.3893i | 0.0866298 | + | 0.798245i | ||||
\(591\) | 30.2232 | − | 10.2430i | 1.24322 | − | 0.421339i | ||||
\(592\) | −32.8920 | − | 3.28738i | −1.35185 | − | 0.135110i | ||||
\(593\) | 12.8806 | 0.528943 | 0.264471 | − | 0.964394i | \(-0.414803\pi\) | ||||
0.264471 | + | 0.964394i | \(0.414803\pi\) | |||||||
\(594\) | −43.6029 | − | 17.4052i | −1.78905 | − | 0.714145i | ||||
\(595\) | 4.77235 | − | 2.76873i | 0.195647 | − | 0.113507i | ||||
\(596\) | 12.4638 | + | 27.8030i | 0.510538 | + | 1.13885i | ||||
\(597\) | 19.1646 | − | 0.241529i | 0.784353 | − | 0.00988511i | ||||
\(598\) | −0.0209749 | − | 0.0980637i | −0.000857729 | − | 0.00401012i | ||||
\(599\) | 36.9742 | 1.51073 | 0.755363 | − | 0.655307i | \(-0.227461\pi\) | ||||
0.755363 | + | 0.655307i | \(0.227461\pi\) | |||||||
\(600\) | −16.7625 | − | 17.8610i | −0.684328 | − | 0.729174i | ||||
\(601\) | 27.0515 | 1.10345 | 0.551727 | − | 0.834025i | \(-0.313969\pi\) | ||||
0.551727 | + | 0.834025i | \(0.313969\pi\) | |||||||
\(602\) | −0.411875 | − | 1.92563i | −0.0167868 | − | 0.0784828i | ||||
\(603\) | −8.56768 | + | 28.8207i | −0.348903 | + | 1.17367i | ||||
\(604\) | 6.46354 | + | 14.4182i | 0.262998 | + | 0.586667i | ||||
\(605\) | −26.9905 | + | 60.9669i | −1.09732 | + | 2.47866i | ||||
\(606\) | 5.38508 | + | 23.7117i | 0.218754 | + | 0.963224i | ||||
\(607\) | −14.4568 | −0.586784 | −0.293392 | − | 0.955992i | \(-0.594784\pi\) | ||||
−0.293392 | + | 0.955992i | \(0.594784\pi\) | |||||||
\(608\) | 5.68642 | + | 6.23492i | 0.230615 | + | 0.252860i | ||||
\(609\) | 0.379885 | + | 1.12090i | 0.0153937 | + | 0.0454212i | ||||
\(610\) | 29.9988 | − | 13.4781i | 1.21462 | − | 0.545713i | ||||
\(611\) | 8.69717 | + | 6.31886i | 0.351850 | + | 0.255634i | ||||
\(612\) | −3.42174 | − | 25.6776i | −0.138316 | − | 1.03796i | ||||
\(613\) | −22.5580 | − | 31.0485i | −0.911111 | − | 1.25404i | −0.966786 | − | 0.255587i | \(-0.917731\pi\) |
0.0556752 | − | 0.998449i | \(-0.482269\pi\) | |||||||
\(614\) | −4.99437 | − | 23.3501i | −0.201556 | − | 0.942332i | ||||
\(615\) | 15.9277 | + | 1.43756i | 0.642266 | + | 0.0579680i | ||||
\(616\) | −0.0395480 | − | 10.3273i | −0.00159344 | − | 0.416098i | ||||
\(617\) | 3.55803 | − | 10.9505i | 0.143241 | − | 0.440851i | −0.853540 | − | 0.521028i | \(-0.825549\pi\) |
0.996781 | + | 0.0801774i | \(0.0255487\pi\) | |||||||
\(618\) | 8.14065 | + | 13.6587i | 0.327465 | + | 0.549433i | ||||
\(619\) | 15.0405 | + | 4.88696i | 0.604529 | + | 0.196423i | 0.595259 | − | 0.803534i | \(-0.297049\pi\) |
0.00926970 | + | 0.999957i | \(0.497049\pi\) | |||||||
\(620\) | 32.9873 | + | 23.7327i | 1.32480 | + | 0.953127i | ||||
\(621\) | −0.104177 | − | 0.0698295i | −0.00418047 | − | 0.00280216i | ||||
\(622\) | −6.79808 | + | 15.3213i | −0.272578 | + | 0.614330i | ||||
\(623\) | −4.99226 | + | 6.87126i | −0.200011 | + | 0.275291i | ||||
\(624\) | 1.76884 | − | 20.2774i | 0.0708102 | − | 0.811748i | ||||
\(625\) | −24.4090 | + | 5.40360i | −0.976362 | + | 0.216144i | ||||
\(626\) | 19.2843 | − | 21.4725i | 0.770757 | − | 0.858213i | ||||
\(627\) | 13.2314 | − | 9.87034i | 0.528413 | − | 0.394183i | ||||
\(628\) | 6.03315 | + | 13.4581i | 0.240749 | + | 0.537037i | ||||
\(629\) | −33.9329 | + | 11.0255i | −1.35299 | + | 0.439614i | ||||
\(630\) | 2.57557 | − | 4.77096i | 0.102613 | − | 0.190080i | ||||
\(631\) | 44.0511 | + | 14.3131i | 1.75365 | + | 0.569794i | 0.996511 | − | 0.0834632i | \(-0.0265981\pi\) |
0.757136 | + | 0.653258i | \(0.226598\pi\) | |||||||
\(632\) | 14.0066 | + | 10.0946i | 0.557151 | + | 0.401543i | ||||
\(633\) | −32.8560 | − | 23.2444i | −1.30591 | − | 0.923880i | ||||
\(634\) | 25.6226 | + | 2.65998i | 1.01760 | + | 0.105641i | ||||
\(635\) | 0.319968 | + | 1.48989i | 0.0126975 | + | 0.0591247i | ||||
\(636\) | 14.7822 | − | 13.7212i | 0.586152 | − | 0.544082i | ||||
\(637\) | −11.5240 | − | 15.8614i | −0.456598 | − | 0.628453i | ||||
\(638\) | 1.11548 | − | 10.7450i | 0.0441624 | − | 0.425400i | ||||
\(639\) | 3.28754 | + | 9.31259i | 0.130053 | + | 0.368400i | ||||
\(640\) | −17.1344 | − | 18.6122i | −0.677295 | − | 0.735712i | ||||
\(641\) | 10.1925 | + | 14.0288i | 0.402580 | + | 0.554103i | 0.961389 | − | 0.275193i | \(-0.0887416\pi\) |
−0.558809 | + | 0.829296i | \(0.688742\pi\) | |||||||
\(642\) | −7.11884 | − | 31.3459i | −0.280958 | − | 1.23712i | ||||
\(643\) | −21.5302 | −0.849067 | −0.424534 | − | 0.905412i | \(-0.639562\pi\) | ||||
−0.424534 | + | 0.905412i | \(0.639562\pi\) | |||||||
\(644\) | 0.00566693 | − | 0.0269996i | 0.000223308 | − | 0.00106393i | ||||
\(645\) | −6.21023 | + | 7.10457i | −0.244528 | + | 0.279742i | ||||
\(646\) | 8.32553 | + | 3.69404i | 0.327564 | + | 0.145340i | ||||
\(647\) | −46.1953 | + | 15.0098i | −1.81613 | + | 0.590095i | −0.816202 | + | 0.577766i | \(0.803925\pi\) |
−0.999924 | + | 0.0123293i | \(0.996075\pi\) | |||||||
\(648\) | −16.0570 | − | 19.7528i | −0.630779 | − | 0.775962i | ||||
\(649\) | 39.4030 | 1.54670 | ||||||||
\(650\) | −16.8734 | − | 12.1183i | −0.661830 | − | 0.475320i | ||||
\(651\) | −2.67152 | + | 8.58892i | −0.104705 | + | 0.336626i | ||||
\(652\) | 17.9566 | − | 31.2859i | 0.703234 | − | 1.22525i | ||||
\(653\) | −5.26384 | − | 16.2004i | −0.205990 | − | 0.633972i | −0.999671 | − | 0.0256382i | \(-0.991838\pi\) |
0.793681 | − | 0.608334i | \(-0.208162\pi\) | |||||||
\(654\) | −11.2461 | + | 12.8442i | −0.439758 | + | 0.502247i | ||||
\(655\) | −30.4668 | + | 17.6757i | −1.19044 | + | 0.690646i | ||||
\(656\) | 16.4350 | + | 1.64259i | 0.641679 | + | 0.0641324i | ||||
\(657\) | −14.4367 | + | 20.9617i | −0.563231 | + | 0.817795i | ||||
\(658\) | 1.48199 | + | 2.55933i | 0.0577740 | + | 0.0997731i | ||||
\(659\) | 2.94376 | − | 2.13876i | 0.114672 | − | 0.0833144i | −0.528971 | − | 0.848640i | \(-0.677422\pi\) |
0.643643 | + | 0.765325i | \(0.277422\pi\) | |||||||
\(660\) | −39.5286 | + | 29.7750i | −1.53865 | + | 1.15899i | ||||
\(661\) | −1.35816 | − | 0.986760i | −0.0528262 | − | 0.0383805i | 0.561059 | − | 0.827776i | \(-0.310394\pi\) |
−0.613885 | + | 0.789395i | \(0.710394\pi\) | |||||||
\(662\) | −2.07928 | + | 20.0290i | −0.0808137 | + | 0.778448i | ||||
\(663\) | −7.05180 | − | 20.8073i | −0.273869 | − | 0.808088i | ||||
\(664\) | −1.10651 | − | 3.36164i | −0.0429411 | − | 0.130457i | ||||
\(665\) | 0.956643 | + | 1.64892i | 0.0370970 | + | 0.0639425i | ||||
\(666\) | −22.7623 | + | 26.6675i | −0.882022 | + | 1.03334i | ||||
\(667\) | 0.00891760 | − | 0.0274455i | 0.000345291 | − | 0.00106270i | ||||
\(668\) | 19.5300 | − | 2.10310i | 0.755637 | − | 0.0813716i | ||||
\(669\) | −4.96351 | + | 7.01593i | −0.191900 | + | 0.271252i | ||||
\(670\) | 21.2868 | + | 23.4811i | 0.822379 | + | 0.907155i | ||||
\(671\) | −20.5323 | − | 63.1919i | −0.792640 | − | 2.43950i | ||||
\(672\) | 2.70723 | − | 4.90166i | 0.104434 | − | 0.189085i | ||||
\(673\) | −5.49326 | + | 7.56082i | −0.211749 | + | 0.291448i | −0.901659 | − | 0.432447i | \(-0.857650\pi\) |
0.689910 | + | 0.723895i | \(0.257650\pi\) | |||||||
\(674\) | −16.3754 | + | 18.2335i | −0.630757 | + | 0.702328i | ||||
\(675\) | −25.7016 | + | 3.79871i | −0.989253 | + | 0.146212i | ||||
\(676\) | 0.935482 | + | 8.68712i | 0.0359801 | + | 0.334120i | ||||
\(677\) | 32.2423 | + | 23.4254i | 1.23917 | + | 0.900312i | 0.997543 | − | 0.0700565i | \(-0.0223179\pi\) |
0.241630 | + | 0.970368i | \(0.422318\pi\) | |||||||
\(678\) | −4.31778 | + | 4.93133i | −0.165823 | + | 0.189387i | ||||
\(679\) | 5.71182 | − | 1.85588i | 0.219199 | − | 0.0712222i | ||||
\(680\) | −25.0106 | − | 10.9580i | −0.959114 | − | 0.420222i | ||||
\(681\) | 5.61046 | + | 3.96919i | 0.214993 | + | 0.152100i | ||||
\(682\) | 54.8586 | − | 61.0833i | 2.10064 | − | 2.33900i | ||||
\(683\) | 48.0114 | + | 15.5999i | 1.83711 | + | 0.596912i | 0.998650 | + | 0.0519431i | \(0.0165415\pi\) |
0.838456 | + | 0.544969i | \(0.183459\pi\) | |||||||
\(684\) | 8.87204 | − | 1.18227i | 0.339231 | − | 0.0452051i | ||||
\(685\) | −3.00090 | − | 0.309019i | −0.114658 | − | 0.0118070i | ||||
\(686\) | −2.31148 | − | 10.8068i | −0.0882526 | − | 0.412606i | ||||
\(687\) | −28.2198 | + | 9.56397i | −1.07665 | + | 0.364888i | ||||
\(688\) | −6.48406 | + | 7.27564i | −0.247202 | + | 0.277381i | ||||
\(689\) | 10.0542 | − | 13.8385i | 0.383036 | − | 0.527204i | ||||
\(690\) | −0.119895 | + | 0.0556938i | −0.00456433 | + | 0.00212023i | ||||
\(691\) | 8.48987 | + | 11.6853i | 0.322970 | + | 0.444530i | 0.939371 | − | 0.342902i | \(-0.111410\pi\) |
−0.616401 | + | 0.787432i | \(0.711410\pi\) | |||||||
\(692\) | −24.5166 | − | 5.14578i | −0.931981 | − | 0.195613i | ||||
\(693\) | −9.02126 | − | 6.21311i | −0.342689 | − | 0.236016i | ||||
\(694\) | −5.33796 | − | 9.21842i | −0.202626 | − | 0.349926i | ||||
\(695\) | 28.3572 | − | 6.08996i | 1.07565 | − | 0.231005i | ||||
\(696\) | 3.36455 | − | 4.79464i | 0.127533 | − | 0.181741i | ||||
\(697\) | 16.9551 | − | 5.50905i | 0.642221 | − | 0.208670i | ||||
\(698\) | −8.87029 | − | 41.4710i | −0.335745 | − | 1.56970i | ||||
\(699\) | −19.3910 | − | 6.03143i | −0.733434 | − | 0.228130i | ||||
\(700\) | −2.89094 | − | 4.92993i | −0.109267 | − | 0.186334i | ||||
\(701\) | 43.4844i | 1.64238i | 0.570654 | + | 0.821191i | \(0.306690\pi\) | ||||
−0.570654 | + | 0.821191i | \(0.693310\pi\) | |||||||
\(702\) | −16.5961 | − | 13.8080i | −0.626378 | − | 0.521151i | ||||
\(703\) | −3.80948 | − | 11.7244i | −0.143677 | − | 0.442193i | ||||
\(704\) | −41.1183 | + | 30.3581i | −1.54970 | + | 1.14416i | ||||
\(705\) | 5.57318 | − | 13.0300i | 0.209898 | − | 0.490739i | ||||
\(706\) | −22.6400 | + | 13.1098i | −0.852067 | + | 0.493393i | ||||
\(707\) | 5.67320i | 0.213363i | ||||||||
\(708\) | 18.6621 | + | 10.4007i | 0.701364 | + | 0.390882i | ||||
\(709\) | −9.97446 | + | 7.24687i | −0.374599 | + | 0.272162i | −0.759115 | − | 0.650956i | \(-0.774368\pi\) |
0.384517 | + | 0.923118i | \(0.374368\pi\) | |||||||
\(710\) | 10.1898 | + | 2.12992i | 0.382417 | + | 0.0799344i | ||||
\(711\) | 17.2680 | − | 6.09598i | 0.647602 | − | 0.228617i | ||||
\(712\) | 42.0340 | − | 0.160968i | 1.57529 | − | 0.00603253i | ||||
\(713\) | 0.177434 | − | 0.128913i | 0.00664496 | − | 0.00482785i | ||||
\(714\) | 0.548285 | − | 6.01904i | 0.0205190 | − | 0.225257i | ||||
\(715\) | −28.0182 | + | 31.2495i | −1.04782 | + | 1.16866i | ||||
\(716\) | 13.7161 | + | 15.1553i | 0.512594 | + | 0.566379i | ||||
\(717\) | 21.4514 | − | 30.3217i | 0.801119 | − | 1.13238i | ||||
\(718\) | −13.9925 | − | 12.5666i | −0.522196 | − | 0.468982i | ||||
\(719\) | −14.0336 | + | 43.1910i | −0.523365 | + | 1.61075i | 0.244162 | + | 0.969735i | \(0.421487\pi\) |
−0.767527 | + | 0.641017i | \(0.778513\pi\) | |||||||
\(720\) | −26.5809 | + | 3.66822i | −0.990612 | + | 0.136707i | ||||
\(721\) | 1.14641 | + | 3.52829i | 0.0426946 | + | 0.131401i | ||||
\(722\) | 9.62134 | − | 21.6843i | 0.358069 | − | 0.807008i | ||||
\(723\) | −20.9211 | − | 28.0453i | −0.778064 | − | 1.04302i | ||||
\(724\) | −4.85069 | − | 45.0447i | −0.180274 | − | 1.67407i | ||||
\(725\) | −2.45452 | − | 5.45103i | −0.0911584 | − | 0.202446i | ||||
\(726\) | 37.3933 | + | 62.7398i | 1.38779 | + | 2.32849i | ||||
\(727\) | 3.07375 | + | 2.23321i | 0.113999 | + | 0.0828251i | 0.643324 | − | 0.765594i | \(-0.277555\pi\) |
−0.529325 | + | 0.848419i | \(0.677555\pi\) | |||||||
\(728\) | 1.45022 | − | 4.52217i | 0.0537487 | − | 0.167603i | ||||
\(729\) | −26.9229 | + | 2.03961i | −0.997143 | + | 0.0755413i | ||||
\(730\) | 10.9952 | + | 24.4724i | 0.406949 | + | 0.905765i | ||||
\(731\) | −3.25057 | + | 10.0042i | −0.120227 | + | 0.370020i | ||||
\(732\) | 6.95543 | − | 35.3487i | 0.257080 | − | 1.30652i | ||||
\(733\) | −25.6744 | − | 8.34213i | −0.948307 | − | 0.308124i | −0.206280 | − | 0.978493i | \(-0.566136\pi\) |
−0.742028 | + | 0.670369i | \(0.766136\pi\) | |||||||
\(734\) | −8.90520 | − | 0.924482i | −0.328697 | − | 0.0341233i | ||||
\(735\) | −17.0099 | + | 19.4595i | −0.627420 | + | 0.717775i | ||||
\(736\) | −0.124374 | + | 0.0563286i | −0.00458448 | + | 0.00207630i | ||||
\(737\) | 51.8029 | − | 37.6370i | 1.90818 | − | 1.38638i | ||||
\(738\) | 11.3735 | − | 13.3248i | 0.418666 | − | 0.490494i | ||||
\(739\) | 1.81401 | − | 2.49677i | 0.0667293 | − | 0.0918451i | −0.774348 | − | 0.632760i | \(-0.781922\pi\) |
0.841077 | + | 0.540915i | \(0.181922\pi\) | |||||||
\(740\) | 11.5842 | + | 35.0952i | 0.425842 | + | 1.29012i | ||||
\(741\) | 7.18925 | − | 2.43651i | 0.264104 | − | 0.0895075i | ||||
\(742\) | 4.07227 | − | 2.35806i | 0.149498 | − | 0.0865673i | ||||
\(743\) | − | 22.1453i | − | 0.812431i | −0.913777 | − | 0.406216i | \(-0.866848\pi\) | ||
0.913777 | − | 0.406216i | \(-0.133152\pi\) | |||||||
\(744\) | 42.1056 | − | 14.4500i | 1.54367 | − | 0.529763i | ||||
\(745\) | 22.7407 | − | 25.3633i | 0.833156 | − | 0.929241i | ||||
\(746\) | 18.2018 | + | 8.07614i | 0.666416 | + | 0.295689i | ||||
\(747\) | −3.59813 | − | 1.06963i | −0.131649 | − | 0.0391358i | ||||
\(748\) | −27.4615 | + | 47.8463i | −1.00409 | + | 1.74944i | ||||
\(749\) | − | 7.49972i | − | 0.274034i | ||||||
\(750\) | −10.6314 | + | 25.2383i | −0.388204 | + | 0.921573i | ||||
\(751\) | − | 22.3396i | − | 0.815184i | −0.913164 | − | 0.407592i | \(-0.866369\pi\) | ||
0.913164 | − | 0.407592i | \(-0.133631\pi\) | |||||||
\(752\) | 5.88491 | − | 13.4015i | 0.214601 | − | 0.488701i | ||||
\(753\) | −0.00275734 | − | 0.218787i | −0.000100483 | − | 0.00797303i | ||||
\(754\) | 2.01473 | − | 4.54075i | 0.0733722 | − | 0.165364i | ||||
\(755\) | 11.7930 | − | 13.1530i | 0.429190 | − | 0.478687i | ||||
\(756\) | −2.63267 | − | 5.32389i | −0.0957492 | − | 0.193628i | ||||
\(757\) | 10.8498i | 0.394342i | 0.980369 | + | 0.197171i | \(0.0631754\pi\) | ||||
−0.980369 | + | 0.197171i | \(0.936825\pi\) | |||||||
\(758\) | −3.74336 | − | 6.46463i | −0.135965 | − | 0.234806i | ||||
\(759\) | 0.0857289 | + | 0.252955i | 0.00311176 | + | 0.00918167i | ||||
\(760\) | 3.78618 | − | 8.64158i | 0.137339 | − | 0.313463i | ||||
\(761\) | −1.55633 | + | 2.14210i | −0.0564168 | + | 0.0776511i | −0.836293 | − | 0.548282i | \(-0.815282\pi\) |
0.779876 | + | 0.625934i | \(0.215282\pi\) | |||||||
\(762\) | 1.53427 | + | 0.657740i | 0.0555807 | + | 0.0238274i | ||||
\(763\) | −3.22242 | + | 2.34123i | −0.116659 | + | 0.0847581i | ||||
\(764\) | −11.7827 | + | 20.5291i | −0.426283 | + | 0.742716i | ||||
\(765\) | −24.6773 | + | 15.1606i | −0.892208 | + | 0.548134i | ||||
\(766\) | 2.58190 | − | 24.8705i | 0.0932879 | − | 0.898607i | ||||
\(767\) | 17.2326 | + | 5.59920i | 0.622232 | + | 0.202175i | ||||
\(768\) | −27.4877 | + | 3.52475i | −0.991879 | + | 0.127188i | ||||
\(769\) | −5.95384 | + | 18.3240i | −0.214701 | + | 0.660782i | 0.784474 | + | 0.620162i | \(0.212933\pi\) |
−0.999175 | + | 0.0406197i | \(0.987067\pi\) | |||||||
\(770\) | −10.5321 | + | 4.73196i | −0.379552 | + | 0.170528i | ||||
\(771\) | 0.515284 | + | 40.8862i | 0.0185575 | + | 1.47248i | ||||
\(772\) | −0.660130 | − | 1.47255i | −0.0237586 | − | 0.0529982i | ||||
\(773\) | −2.64725 | − | 1.92334i | −0.0952150 | − | 0.0691777i | 0.539159 | − | 0.842204i | \(-0.318742\pi\) |
−0.634374 | + | 0.773026i | \(0.718742\pi\) | |||||||
\(774\) | 2.41611 | + | 10.0505i | 0.0868454 | + | 0.361258i | ||||
\(775\) | 9.25900 | − | 44.4806i | 0.332593 | − | 1.59779i | ||||
\(776\) | −24.1132 | − | 17.3785i | −0.865612 | − | 0.623853i | ||||
\(777\) | −6.55689 | + | 4.89128i | −0.235227 | + | 0.175474i | ||||
\(778\) | 8.29898 | + | 3.68226i | 0.297533 | + | 0.132015i | ||||
\(779\) | 1.90347 | + | 5.85827i | 0.0681988 | + | 0.209894i | ||||
\(780\) | −21.5186 | + | 7.40481i | −0.770488 | + | 0.265135i | ||||
\(781\) | 6.49919 | − | 20.0024i | 0.232559 | − | 0.715744i | ||||
\(782\) | −0.0984699 | + | 0.109643i | −0.00352128 | + | 0.00392083i | ||||
\(783\) | −2.14178 | − | 5.83183i | −0.0765411 | − | 0.208412i | ||||
\(784\) | −17.7599 | + | 19.9281i | −0.634283 | + | 0.711718i | ||||
\(785\) | 11.0077 | − | 12.2772i | 0.392882 | − | 0.438192i | ||||
\(786\) | −3.50027 | + | 38.4257i | −0.124850 | + | 1.37060i | ||||
\(787\) | −26.3021 | + | 19.1096i | −0.937568 | + | 0.681183i | −0.947834 | − | 0.318765i | \(-0.896732\pi\) |
0.0102663 | + | 0.999947i | \(0.496732\pi\) | |||||||
\(788\) | −24.7263 | − | 27.3207i | −0.880838 | − | 0.973261i | ||||
\(789\) | 14.7308 | − | 10.9888i | 0.524432 | − | 0.391213i | ||||
\(790\) | 3.94944 | − | 18.8947i | 0.140515 | − | 0.672242i | ||||
\(791\) | −1.23720 | + | 0.898880i | −0.0439898 | + | 0.0319605i | ||||
\(792\) | 1.57374 | + | 54.1885i | 0.0559206 | + | 1.92550i | ||||
\(793\) | − | 30.5541i | − | 1.08501i | ||||||
\(794\) | 17.7055 | + | 30.5766i | 0.628343 | + | 1.08512i | ||||
\(795\) | −20.7327 | − | 8.86775i | −0.735313 | − | 0.314507i | ||||
\(796\) | −9.05311 | − | 20.1947i | −0.320879 | − | 0.715782i | ||||
\(797\) | 0.155859 | + | 0.479683i | 0.00552079 | + | 0.0169913i | 0.953779 | − | 0.300509i | \(-0.0971566\pi\) |
−0.948258 | + | 0.317500i | \(0.897157\pi\) | |||||||
\(798\) | 2.07968 | + | 0.189441i | 0.0736197 | + | 0.00670615i | ||||
\(799\) | − | 15.7982i | − | 0.558900i | ||||||
\(800\) | −11.2299 | + | 25.9594i | −0.397036 | + | 0.917803i | ||||
\(801\) | 25.2885 | − | 36.7183i | 0.893526 | − | 1.29738i | ||||
\(802\) | −13.6656 | + | 2.92295i | −0.482549 | + | 0.103213i | ||||
\(803\) | 51.5506 | − | 16.7498i | 1.81918 | − | 0.591088i | ||||
\(804\) | 34.4695 | − | 4.15194i | 1.21565 | − | 0.146428i | ||||
\(805\) | −0.0301566 | + | 0.00647639i | −0.00106288 | + | 0.000228263i | ||||
\(806\) | 32.6720 | − | 18.9188i | 1.15082 | − | 0.666387i | ||||
\(807\) | 9.94900 | − | 31.9859i | 0.350221 | − | 1.12596i | ||||
\(808\) | 22.6516 | − | 16.5902i | 0.796879 | − | 0.583642i | ||||
\(809\) | −13.8669 | − | 19.0861i | −0.487534 | − | 0.671033i | 0.492397 | − | 0.870371i | \(-0.336121\pi\) |
−0.979931 | + | 0.199338i | \(0.936121\pi\) | |||||||
\(810\) | −12.8845 | + | 25.3770i | −0.452715 | + | 0.891655i | ||||
\(811\) | 2.42476 | − | 3.33739i | 0.0851447 | − | 0.117192i | −0.764320 | − | 0.644837i | \(-0.776925\pi\) |
0.849465 | + | 0.527646i | \(0.176925\pi\) | |||||||
\(812\) | 1.01326 | − | 0.917036i | 0.0355584 | − | 0.0321817i | ||||
\(813\) | 5.62877 | + | 16.6084i | 0.197410 | + | 0.582483i | ||||
\(814\) | 73.0153 | − | 15.6173i | 2.55918 | − | 0.547387i | ||||
\(815\) | −40.1184 | − | 4.13121i | −1.40529 | − | 0.144710i | ||||
\(816\) | −25.6357 | + | 15.4124i | −0.897430 | + | 0.539542i | ||||
\(817\) | −3.45663 | − | 1.12313i | −0.120932 | − | 0.0392932i | ||||
\(818\) | 5.43279 | + | 4.87917i | 0.189953 | + | 0.170596i | ||||
\(819\) | −3.06249 | − | 3.99918i | −0.107012 | − | 0.139743i | ||||
\(820\) | −5.78821 | − | 17.5359i | −0.202133 | − | 0.612379i | ||||
\(821\) | 21.5974 | − | 7.01741i | 0.753754 | − | 0.244909i | 0.0931580 | − | 0.995651i | \(-0.470304\pi\) |
0.660596 | + | 0.750742i | \(0.270304\pi\) | |||||||
\(822\) | −2.17698 | + | 2.48633i | −0.0759310 | + | 0.0867206i | ||||
\(823\) | 45.4607 | + | 33.0291i | 1.58466 | + | 1.15132i | 0.911097 | + | 0.412192i | \(0.135237\pi\) |
0.673562 | + | 0.739131i | \(0.264763\pi\) | |||||||
\(824\) | 10.7350 | − | 14.8951i | 0.373973 | − | 0.518897i | ||||
\(825\) | 48.3749 | + | 26.8551i | 1.68420 | + | 0.934973i | ||||
\(826\) | 3.70862 | + | 3.33069i | 0.129039 | + | 0.115890i | ||||
\(827\) | 5.13103 | − | 7.06225i | 0.178423 | − | 0.245579i | −0.710433 | − | 0.703765i | \(-0.751501\pi\) |
0.888856 | + | 0.458186i | \(0.151501\pi\) | |||||||
\(828\) | −0.0261661 | + | 0.142433i | −0.000909337 | + | 0.00494990i | ||||
\(829\) | −0.125675 | − | 0.386787i | −0.00436486 | − | 0.0134337i | 0.948850 | − | 0.315726i | \(-0.102248\pi\) |
−0.953215 | + | 0.302292i | \(0.902248\pi\) | |||||||
\(830\) | −2.93150 | + | 2.65755i | −0.101754 | + | 0.0922448i | ||||
\(831\) | −2.36862 | − | 1.67571i | −0.0821667 | − | 0.0581298i | ||||
\(832\) | −22.2967 | + | 7.43390i | −0.772998 | + | 0.257724i | ||||
\(833\) | −8.90337 | + | 27.4018i | −0.308483 | + | 0.949415i | ||||
\(834\) | 12.5188 | − | 29.2018i | 0.433491 | − | 1.01118i | ||||
\(835\) | −11.0207 | − | 18.9960i | −0.381388 | − | 0.657382i | ||||
\(836\) | −16.5317 | − | 9.48838i | −0.571760 | − | 0.328163i | ||||
\(837\) | 12.8829 | − | 45.4249i | 0.445299 | − | 1.57011i | ||||
\(838\) | 3.70686 | + | 0.384823i | 0.128051 | + | 0.0132935i | ||||
\(839\) | 15.5736 | + | 11.3149i | 0.537661 | + | 0.390634i | 0.823216 | − | 0.567729i | \(-0.192178\pi\) |
−0.285554 | + | 0.958363i | \(0.592178\pi\) | |||||||
\(840\) | −6.23729 | − | 0.538877i | −0.215207 | − | 0.0185930i | ||||
\(841\) | −22.3050 | + | 16.2055i | −0.769137 | + | 0.558811i | ||||
\(842\) | −20.8062 | + | 12.0479i | −0.717029 | + | 0.415198i | ||||
\(843\) | 3.61926 | − | 11.6359i | 0.124654 | − | 0.400761i | ||||
\(844\) | −9.54623 | + | 45.4821i | −0.328595 | + | 1.56556i | ||||
\(845\) | 8.44959 | − | 4.90213i | 0.290675 | − | 0.168638i | ||||
\(846\) | −8.11552 | − | 13.2344i | −0.279017 | − | 0.455007i | ||||
\(847\) | 5.26593 | + | 16.2069i | 0.180940 | + | 0.556875i | ||||
\(848\) | −21.3237 | − | 9.36376i | −0.732259 | − | 0.321553i | ||||
\(849\) | −0.337887 | − | 0.105097i | −0.0115963 | − | 0.00360694i | ||||
\(850\) | 0.167554 | + | 30.5284i | 0.00574706 | + | 1.04712i | ||||
\(851\) | 0.199461 | 0.00683742 | ||||||||
\(852\) | 8.35794 | − | 7.75808i | 0.286338 | − | 0.265787i | ||||
\(853\) | −28.6030 | + | 9.29369i | −0.979349 | + | 0.318210i | −0.754584 | − | 0.656203i | \(-0.772161\pi\) |
−0.224765 | + | 0.974413i | \(0.572161\pi\) | |||||||
\(854\) | 3.40904 | − | 7.68321i | 0.116655 | − | 0.262914i | ||||
\(855\) | −5.23825 | − | 8.52639i | −0.179144 | − | 0.291596i | ||||
\(856\) | −29.9443 | + | 21.9315i | −1.02348 | + | 0.749604i | ||||
\(857\) | 2.35394 | 0.0804090 | 0.0402045 | − | 0.999191i | \(-0.487199\pi\) | ||||
0.0402045 | + | 0.999191i | \(0.487199\pi\) | |||||||
\(858\) | 10.1823 | + | 44.8350i | 0.347619 | + | 1.53064i | ||||
\(859\) | 11.1237 | + | 15.3105i | 0.379537 | + | 0.522388i | 0.955462 | − | 0.295115i | \(-0.0953578\pi\) |
−0.575925 | + | 0.817503i | \(0.695358\pi\) | |||||||
\(860\) | 10.3783 | + | 3.31873i | 0.353896 | + | 0.113168i | ||||
\(861\) | 3.27625 | − | 2.44400i | 0.111654 | − | 0.0832914i | ||||
\(862\) | −6.69109 | − | 0.694627i | −0.227899 | − | 0.0236591i | ||||
\(863\) | 11.4396 | + | 15.7453i | 0.389410 | + | 0.535977i | 0.958047 | − | 0.286612i | \(-0.0925290\pi\) |
−0.568637 | + | 0.822589i | \(0.692529\pi\) | |||||||
\(864\) | −13.5581 | + | 26.0802i | −0.461256 | + | 0.887267i | ||||
\(865\) | 5.88080 | + | 27.3833i | 0.199953 | + | 0.931060i | ||||
\(866\) | −3.50845 | + | 33.7956i | −0.119222 | + | 1.14842i | ||||
\(867\) | −1.64081 | + | 2.31930i | −0.0557250 | + | 0.0787675i | ||||
\(868\) | 10.3266 | − | 1.11203i | 0.350508 | − | 0.0377448i | ||||
\(869\) | −37.0899 | − | 12.0512i | −1.25819 | − | 0.408810i | ||||
\(870\) | −6.42658 | − | 1.25900i | −0.217882 | − | 0.0426840i | ||||
\(871\) | 28.0039 | − | 9.09900i | 0.948874 | − | 0.308308i | ||||
\(872\) | 18.7712 | + | 6.01977i | 0.635674 | + | 0.203855i | ||||
\(873\) | −29.7280 | + | 10.4946i | −1.00614 | + | 0.355189i | ||||
\(874\) | −0.0378835 | − | 0.0340230i | −0.00128143 | − | 0.00115084i | ||||
\(875\) | −3.72299 | + | 5.19294i | −0.125860 | + | 0.175553i | ||||
\(876\) | 28.8367 | + | 5.67409i | 0.974302 | + | 0.191710i | ||||
\(877\) | −18.8327 | + | 25.9210i | −0.635936 | + | 0.875290i | −0.998391 | − | 0.0567108i | \(-0.981939\pi\) |
0.362455 | + | 0.932001i | \(0.381939\pi\) | |||||||
\(878\) | −28.1666 | − | 12.4975i | −0.950578 | − | 0.421771i | ||||
\(879\) | 0.281777 | + | 22.3582i | 0.00950411 | + | 0.754122i | ||||
\(880\) | 49.6927 | + | 28.2142i | 1.67514 | + | 0.951102i | ||||
\(881\) | 31.1705 | + | 10.1279i | 1.05016 | + | 0.341218i | 0.782732 | − | 0.622359i | \(-0.213826\pi\) |
0.267429 | + | 0.963577i | \(0.413826\pi\) | |||||||
\(882\) | 6.61777 | + | 27.5285i | 0.222832 | + | 0.926932i | ||||
\(883\) | 4.99442 | − | 15.3713i | 0.168076 | − | 0.517284i | −0.831174 | − | 0.556012i | \(-0.812331\pi\) |
0.999250 | + | 0.0387283i | \(0.0123307\pi\) | |||||||
\(884\) | −18.8091 | + | 17.0229i | −0.632618 | + | 0.572543i | ||||
\(885\) | 2.14715 | − | 23.7897i | 0.0721757 | − | 0.799682i | ||||
\(886\) | 5.99258 | − | 1.28176i | 0.201325 | − | 0.0430615i | ||||
\(887\) | 12.3391 | + | 16.9833i | 0.414305 | + | 0.570242i | 0.964262 | − | 0.264951i | \(-0.0853559\pi\) |
−0.549957 | + | 0.835193i | \(0.685356\pi\) | |||||||
\(888\) | 38.7039 | + | 11.8762i | 1.29882 | + | 0.398540i | ||||
\(889\) | 0.315093 | + | 0.228929i | 0.0105679 | + | 0.00767802i | ||||
\(890\) | −19.2600 | − | 42.8679i | −0.645597 | − | 1.43693i | ||||
\(891\) | 48.1622 | + | 31.4107i | 1.61349 | + | 1.05230i | ||||
\(892\) | 9.71207 | + | 2.03846i | 0.325184 | + | 0.0682528i | ||||
\(893\) | 5.45853 | 0.182663 | ||||||||
\(894\) | −8.26438 | − | 36.3899i | −0.276402 | − | 1.21706i | ||||
\(895\) | 9.25122 | − | 20.8969i | 0.309234 | − | 0.698507i | ||||
\(896\) | −6.43620 | − | 0.618380i | −0.215018 | − | 0.0206586i | ||||
\(897\) | 0.00154776 | + | 0.122810i | 5.16781e−5 | + | 0.00410050i | ||||
\(898\) | 3.92110 | − | 0.838689i | 0.130849 | − | 0.0279874i | ||||
\(899\) | 10.8645 | 0.362350 | ||||||||
\(900\) | 15.8228 | + | 25.4880i | 0.527426 | + | 0.849601i | ||||
\(901\) | −25.1373 | −0.837443 | ||||||||
\(902\) | −36.4832 | + | 7.80344i | −1.21476 | + | 0.259826i | ||||
\(903\) | 0.0303926 | + | 2.41156i | 0.00101140 | + | 0.0802516i | ||||
\(904\) | 7.20694 | + | 2.31120i | 0.239699 | + | 0.0768695i | ||||
\(905\) | −43.8131 | + | 25.4187i | −1.45640 | + | 0.844945i | ||||
\(906\) | −4.28577 | − | 18.8712i | −0.142385 | − | 0.626955i | ||||
\(907\) | 23.3192 | 0.774300 | 0.387150 | − | 0.922017i | \(-0.373460\pi\) | ||||
0.387150 | + | 0.922017i | \(0.373460\pi\) | |||||||
\(908\) | 1.63011 | − | 7.76650i | 0.0540970 | − | 0.257740i | ||||
\(909\) | −0.750517 | − | 29.7709i | −0.0248931 | − | 0.987438i | ||||
\(910\) | −5.27857 | + | 0.572858i | −0.174983 | + | 0.0189901i | ||||
\(911\) | 3.16834 | + | 2.30194i | 0.104972 | + | 0.0762665i | 0.639033 | − | 0.769179i | \(-0.279335\pi\) |
−0.534061 | + | 0.845446i | \(0.679335\pi\) | |||||||
\(912\) | −5.32523 | − | 8.85756i | −0.176336 | − | 0.293303i | ||||
\(913\) | 4.69879 | + | 6.46734i | 0.155507 | + | 0.214038i | ||||
\(914\) | −34.3455 | + | 7.34620i | −1.13605 | + | 0.242991i | ||||
\(915\) | −39.2712 | + | 8.95300i | −1.29827 | + | 0.295977i | ||||
\(916\) | 23.0873 | + | 25.5097i | 0.762824 | + | 0.842865i | ||||
\(917\) | −2.78191 | + | 8.56185i | −0.0918668 | + | 0.282737i | ||||
\(918\) | −2.08093 | + | 31.6582i | −0.0686809 | + | 1.04488i | ||||
\(919\) | 33.8036 | + | 10.9835i | 1.11508 | + | 0.362311i | 0.807887 | − | 0.589337i | \(-0.200611\pi\) |
0.307191 | + | 0.951648i | \(0.400611\pi\) | |||||||
\(920\) | 0.114046 | + | 0.101468i | 0.00375998 | + | 0.00334530i | ||||
\(921\) | 0.368539 | + | 29.2424i | 0.0121438 | + | 0.963570i | ||||
\(922\) | 5.83064 | + | 2.58705i | 0.192022 | + | 0.0852001i | ||||
\(923\) | 5.68474 | − | 7.82437i | 0.187115 | − | 0.257542i | ||||
\(924\) | −2.44195 | + | 12.4104i | −0.0803342 | + | 0.408272i | ||||
\(925\) | 30.5899 | − | 27.7775i | 1.00579 | − | 0.913317i | ||||
\(926\) | −15.8913 | − | 14.2719i | −0.522221 | − | 0.469005i | ||||
\(927\) | −6.48271 | − | 18.3635i | −0.212920 | − | 0.603137i | ||||
\(928\) | −6.62455 | − | 1.36396i | −0.217462 | − | 0.0447742i | ||||
\(929\) | 2.39405 | − | 0.777873i | 0.0785462 | − | 0.0255212i | −0.269480 | − | 0.963006i | \(-0.586852\pi\) |
0.348026 | + | 0.937485i | \(0.386852\pi\) | |||||||
\(930\) | −33.8899 | − | 36.4497i | −1.11129 | − | 1.19523i | ||||
\(931\) | −9.46775 | − | 3.07626i | −0.310293 | − | 0.100820i | ||||
\(932\) | 2.51061 | + | 23.3141i | 0.0822376 | + | 0.763679i | ||||
\(933\) | 11.8563 | − | 16.7590i | 0.388159 | − | 0.548665i | ||||
\(934\) | −4.70811 | + | 45.3514i | −0.154054 | + | 1.48394i | ||||
\(935\) | 61.3542 | + | 6.31798i | 2.00650 | + | 0.206620i | ||||
\(936\) | −7.01198 | + | 23.9225i | −0.229194 | + | 0.781933i | ||||
\(937\) | 14.7066 | + | 20.2419i | 0.480443 | + | 0.661274i | 0.978590 | − | 0.205819i | \(-0.0659859\pi\) |
−0.498147 | + | 0.867093i | \(0.665986\pi\) | |||||||
\(938\) | 8.05712 | + | 0.836441i | 0.263074 | + | 0.0273108i | ||||
\(939\) | −28.3324 | + | 21.1353i | −0.924594 | + | 0.689725i | ||||
\(940\) | −16.3641 | + | 0.0762397i | −0.533738 | + | 0.00248666i | ||||
\(941\) | −16.1214 | − | 22.1892i | −0.525544 | − | 0.723349i | 0.460899 | − | 0.887452i | \(-0.347527\pi\) |
−0.986443 | + | 0.164104i | \(0.947527\pi\) | |||||||
\(942\) | −4.00040 | − | 17.6147i | −0.130340 | − | 0.573916i | ||||
\(943\) | −0.0996636 | −0.00324549 | ||||||||
\(944\) | 2.45339 | − | 24.5475i | 0.0798510 | − | 0.798952i | ||||
\(945\) | −4.24278 | + | 5.10806i | −0.138018 | + | 0.166165i | ||||
\(946\) | 8.92805 | − | 20.1218i | 0.290276 | − | 0.654216i | ||||
\(947\) | 9.50992 | − | 3.08996i | 0.309031 | − | 0.100410i | −0.150396 | − | 0.988626i | \(-0.548055\pi\) |
0.459427 | + | 0.888216i | \(0.348055\pi\) | |||||||
\(948\) | −14.3855 | − | 15.4979i | −0.467221 | − | 0.503347i | ||||
\(949\) | 24.9254 | 0.809114 | ||||||||
\(950\) | −10.5481 | + | 0.0578926i | −0.342225 | + | 0.00187829i | ||||
\(951\) | −30.1261 | − | 9.37052i | −0.976906 | − | 0.303860i | ||||
\(952\) | −6.62908 | + | 2.18202i | −0.214850 | + | 0.0707197i | ||||
\(953\) | −12.5807 | − | 38.7194i | −0.407528 | − | 1.25424i | −0.918766 | − | 0.394804i | \(-0.870813\pi\) |
0.511237 | − | 0.859440i | \(-0.329187\pi\) | |||||||
\(954\) | −21.0578 | + | 12.9130i | −0.681773 | + | 0.418073i | ||||
\(955\) | 26.3248 | + | 2.71081i | 0.851850 | + | 0.0877197i | ||||
\(956\) | −41.9740 | − | 8.80990i | −1.35753 | − | 0.284933i | ||||
\(957\) | −3.92960 | + | 12.6336i | −0.127026 | + | 0.408387i | ||||
\(958\) | 10.9797 | − | 6.35785i | 0.354739 | − | 0.205413i | ||||
\(959\) | −0.623784 | + | 0.453206i | −0.0201430 | + | 0.0146348i | ||||
\(960\) | 16.0882 | + | 26.4796i | 0.519244 | + | 0.854626i | ||||
\(961\) | 41.7211 | + | 30.3121i | 1.34584 | + | 0.977811i | ||||
\(962\) | 34.1519 | + | 3.54544i | 1.10110 | + | 0.114310i | ||||
\(963\) | 0.992150 | + | 39.3558i | 0.0319716 | + | 1.26822i | ||||
\(964\) | −20.1115 | + | 35.0405i | −0.647748 | + | 1.12858i | ||||
\(965\) | −1.20443 | + | 1.34334i | −0.0387721 | + | 0.0432435i | ||||
\(966\) | −0.0133132 | + | 0.0310547i | −0.000428344 | + | 0.000999169i | ||||
\(967\) | 16.4112 | − | 50.5085i | 0.527749 | − | 1.62424i | −0.231067 | − | 0.972938i | \(-0.574222\pi\) |
0.758815 | − | 0.651306i | \(-0.225778\pi\) | |||||||
\(968\) | 49.3104 | − | 68.4193i | 1.58489 | − | 2.19908i | ||||
\(969\) | −9.10674 | − | 6.44267i | −0.292551 | − | 0.206968i | ||||
\(970\) | −6.79920 | + | 32.5284i | −0.218309 | + | 1.04442i | ||||
\(971\) | −0.281879 | − | 0.867533i | −0.00904592 | − | 0.0278405i | 0.946432 | − | 0.322904i | \(-0.104659\pi\) |
−0.955478 | + | 0.295064i | \(0.904659\pi\) | |||||||
\(972\) | 14.5196 | + | 27.5895i | 0.465716 | + | 0.884934i | ||||
\(973\) | 4.35721 | − | 5.99719i | 0.139686 | − | 0.192261i | ||||
\(974\) | −35.3271 | − | 31.7271i | −1.13195 | − | 1.01660i | ||||
\(975\) | 17.3402 | + | 18.6190i | 0.555332 | + | 0.596284i | ||||
\(976\) | −40.6461 | + | 8.85674i | −1.30105 | + | 0.283497i | ||||
\(977\) | 6.93215 | + | 5.03650i | 0.221779 | + | 0.161132i | 0.693127 | − | 0.720815i | \(-0.256232\pi\) |
−0.471348 | + | 0.881947i | \(0.656232\pi\) | |||||||
\(978\) | −29.1036 | + | 33.2392i | −0.930632 | + | 1.06287i | ||||
\(979\) | −90.3002 | + | 29.3403i | −2.88601 | + | 0.937720i | ||||
\(980\) | 28.4262 | + | 9.09005i | 0.908043 | + | 0.290371i | ||||
\(981\) | 16.6004 | − | 12.7122i | 0.530009 | − | 0.405869i | ||||
\(982\) | −11.4464 | − | 10.2799i | −0.365269 | − | 0.328046i | ||||
\(983\) | 10.3782 | + | 3.37207i | 0.331012 | + | 0.107552i | 0.469808 | − | 0.882769i | \(-0.344323\pi\) |
−0.138796 | + | 0.990321i | \(0.544323\pi\) | |||||||
\(984\) | −19.3390 | − | 5.93414i | −0.616505 | − | 0.189174i | ||||
\(985\) | −16.6774 | + | 37.6713i | −0.531386 | + | 1.20031i | ||||
\(986\) | −7.13879 | + | 1.52692i | −0.227345 | + | 0.0486271i | ||||
\(987\) | −1.16262 | − | 3.43046i | −0.0370065 | − | 0.109193i | ||||
\(988\) | −5.88169 | − | 6.49884i | −0.187122 | − | 0.206756i | ||||
\(989\) | 0.0345652 | − | 0.0475749i | 0.00109911 | − | 0.00151279i | ||||
\(990\) | 54.6428 | − | 26.2249i | 1.73666 | − | 0.833483i | ||||
\(991\) | −23.2203 | − | 31.9600i | −0.737617 | − | 1.01524i | −0.998752 | − | 0.0499401i | \(-0.984097\pi\) |
0.261136 | − | 0.965302i | \(-0.415903\pi\) | |||||||
\(992\) | −34.6383 | − | 37.9794i | −1.09977 | − | 1.20585i | ||||
\(993\) | 7.32486 | − | 23.5493i | 0.232447 | − | 0.747316i | ||||
\(994\) | 2.30249 | − | 1.33327i | 0.0730306 | − | 0.0422886i | ||||
\(995\) | −16.5177 | + | 18.4227i | −0.523648 | + | 0.584038i | ||||
\(996\) | 0.518349 | + | 4.30335i | 0.0164245 | + | 0.136357i | ||||
\(997\) | −40.4282 | + | 13.1359i | −1.28038 | + | 0.416019i | −0.868712 | − | 0.495317i | \(-0.835052\pi\) |
−0.411663 | + | 0.911336i | \(0.635052\pi\) | |||||||
\(998\) | −50.8919 | + | 10.8853i | −1.61095 | + | 0.344569i | ||||
\(999\) | 33.7610 | − | 26.5350i | 1.06815 | − | 0.839532i |
(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 | 300.2.r.a.59.32 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.25 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.54 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.3 | ✓ | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.3 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.54 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.25 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.32 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.3 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.25 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.59.32 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.54 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.3 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.25 | yes | 224 | 100.39 | odd | 10 | inner | |
300.2.r.a.239.32 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.54 | yes | 224 | 75.14 | odd | 10 | inner |