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 | 59.3 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40665 | + | 0.146030i | −0.994655 | + | 0.103259i | ||||
\(3\) | 1.00033 | + | 1.41398i | 0.577543 | + | 0.816360i | ||||
\(4\) | 1.95735 | − | 0.410828i | 0.978675 | − | 0.205414i | ||||
\(5\) | −1.66487 | − | 1.49272i | −0.744552 | − | 0.667564i | ||||
\(6\) | −1.61361 | − | 1.84290i | −0.658753 | − | 0.752360i | ||||
\(7\) | −0.571505 | −0.216009 | −0.108004 | − | 0.994150i | \(-0.534446\pi\) | ||||
−0.108004 | + | 0.994150i | \(0.534446\pi\) | |||||||
\(8\) | −2.69332 | + | 0.863724i | −0.952233 | + | 0.305373i | ||||
\(9\) | −0.998661 | + | 2.82890i | −0.332887 | + | 0.942967i | ||||
\(10\) | 2.55988 | + | 1.85662i | 0.809504 | + | 0.587114i | ||||
\(11\) | 5.16870 | + | 3.75528i | 1.55842 | + | 1.13226i | 0.937288 | + | 0.348555i | \(0.113328\pi\) |
0.621134 | + | 0.783705i | \(0.286672\pi\) | |||||||
\(12\) | 2.53891 | + | 2.35668i | 0.732919 | + | 0.680316i | ||||
\(13\) | 1.72686 | + | 2.37682i | 0.478945 | + | 0.659211i | 0.978302 | − | 0.207185i | \(-0.0664302\pi\) |
−0.499357 | + | 0.866397i | \(0.666430\pi\) | |||||||
\(14\) | 0.803910 | − | 0.0834569i | 0.214854 | − | 0.0223048i | ||||
\(15\) | 0.445243 | − | 3.84731i | 0.114961 | − | 0.993370i | ||||
\(16\) | 3.66244 | − | 1.60827i | 0.915610 | − | 0.402067i | ||||
\(17\) | −1.33416 | + | 4.10613i | −0.323582 | + | 0.995882i | 0.648495 | + | 0.761219i | \(0.275399\pi\) |
−0.972077 | + | 0.234663i | \(0.924601\pi\) | |||||||
\(18\) | 0.991666 | − | 4.12512i | 0.233738 | − | 0.972300i | ||||
\(19\) | −1.41873 | − | 0.460974i | −0.325480 | − | 0.105755i | 0.141719 | − | 0.989907i | \(-0.454737\pi\) |
−0.467199 | + | 0.884152i | \(0.654737\pi\) | |||||||
\(20\) | −3.87198 | − | 2.23780i | −0.865802 | − | 0.500387i | ||||
\(21\) | −0.571696 | − | 0.808095i | −0.124754 | − | 0.176341i | ||||
\(22\) | −7.81896 | − | 4.52759i | −1.66701 | − | 0.965286i | ||||
\(23\) | −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 | ||||
\(27\) | −4.99899 | + | 1.41776i | −0.962057 | + | 0.272848i | ||||
\(28\) | −1.11864 | + | 0.234790i | −0.211402 | + | 0.0443711i | ||||
\(29\) | 1.13711 | − | 0.369470i | 0.211157 | − | 0.0686089i | −0.201529 | − | 0.979483i | \(-0.564591\pi\) |
0.412685 | + | 0.910874i | \(0.364591\pi\) | |||||||
\(30\) | −0.0644805 | + | 5.47685i | −0.0117725 | + | 0.999931i | ||||
\(31\) | 8.64207 | + | 2.80798i | 1.55216 | + | 0.504328i | 0.954700 | − | 0.297570i | \(-0.0961761\pi\) |
0.597461 | + | 0.801898i | \(0.296176\pi\) | |||||||
\(32\) | −4.91693 | + | 2.79710i | −0.869199 | + | 0.494463i | ||||
\(33\) | −0.139450 | + | 11.0650i | −0.0242752 | + | 1.92616i | ||||
\(34\) | 1.27709 | − | 5.97073i | 0.219018 | − | 1.02397i | ||||
\(35\) | 0.951481 | + | 0.853096i | 0.160830 | + | 0.144200i | ||||
\(36\) | −0.792540 | + | 5.94743i | −0.132090 | + | 0.991238i | ||||
\(37\) | −4.85744 | − | 6.68569i | −0.798558 | − | 1.09912i | −0.992989 | − | 0.118205i | \(-0.962286\pi\) |
0.194431 | − | 0.980916i | \(-0.437714\pi\) | |||||||
\(38\) | 2.06298 | + | 0.441254i | 0.334660 | + | 0.0715808i | ||||
\(39\) | −1.63333 | + | 4.81936i | −0.261542 | + | 0.771715i | ||||
\(40\) | 5.77333 | + | 2.58238i | 0.912843 | + | 0.408311i | ||||
\(41\) | −2.42710 | − | 3.34061i | −0.379049 | − | 0.521716i | 0.576283 | − | 0.817250i | \(-0.304502\pi\) |
−0.955332 | + | 0.295534i | \(0.904502\pi\) | |||||||
\(42\) | 0.922185 | + | 1.05322i | 0.142296 | + | 0.162516i | ||||
\(43\) | 2.43642 | 0.371550 | 0.185775 | − | 0.982592i | \(-0.440520\pi\) | ||||
0.185775 | + | 0.982592i | \(0.440520\pi\) | |||||||
\(44\) | 11.6597 | + | 5.22696i | 1.75777 | + | 0.787993i | ||||
\(45\) | 5.88539 | − | 3.21903i | 0.877343 | − | 0.479865i | ||||
\(46\) | 0.0171046 | − | 0.0295388i | 0.00252193 | − | 0.00435526i | ||||
\(47\) | 3.48007 | − | 1.13074i | 0.507620 | − | 0.164936i | −0.0439995 | − | 0.999032i | \(-0.514010\pi\) |
0.551620 | + | 0.834096i | \(0.314010\pi\) | |||||||
\(48\) | 5.93772 | + | 3.56980i | 0.857036 | + | 0.515257i | ||||
\(49\) | −6.67338 | −0.953340 | ||||||||
\(50\) | −1.49045 | − | 6.91220i | −0.210782 | − | 0.977533i | ||||
\(51\) | −7.14058 | + | 2.22103i | −0.999881 | + | 0.311006i | ||||
\(52\) | 4.35654 | + | 3.94283i | 0.604143 | + | 0.546772i | ||||
\(53\) | 1.79918 | + | 5.53730i | 0.247136 | + | 0.760607i | 0.995278 | + | 0.0970678i | \(0.0309464\pi\) |
−0.748142 | + | 0.663539i | \(0.769054\pi\) | |||||||
\(54\) | 6.82482 | − | 2.72430i | 0.928740 | − | 0.370731i | ||||
\(55\) | −2.99964 | − | 13.9675i | −0.404471 | − | 1.88337i | ||||
\(56\) | 1.53925 | − | 0.493623i | 0.205690 | − | 0.0659631i | ||||
\(57\) | −0.767401 | − | 2.46719i | −0.101645 | − | 0.326787i | ||||
\(58\) | −1.54557 | + | 0.685770i | −0.202943 | + | 0.0900460i | ||||
\(59\) | 4.98956 | − | 3.62513i | 0.649586 | − | 0.471952i | −0.213544 | − | 0.976933i | \(-0.568501\pi\) |
0.863130 | + | 0.504982i | \(0.168501\pi\) | |||||||
\(60\) | −0.709083 | − | 7.71344i | −0.0915422 | − | 0.995801i | ||||
\(61\) | −8.41374 | − | 6.11294i | −1.07727 | − | 0.782681i | −0.100064 | − | 0.994981i | \(-0.531905\pi\) |
−0.977205 | + | 0.212300i | \(0.931905\pi\) | |||||||
\(62\) | −12.5664 | − | 2.68785i | −1.59594 | − | 0.341357i | ||||
\(63\) | 0.570740 | − | 1.61673i | 0.0719065 | − | 0.203689i | ||||
\(64\) | 6.50796 | − | 4.65258i | 0.813495 | − | 0.581572i | ||||
\(65\) | 0.672926 | − | 6.53482i | 0.0834662 | − | 0.810544i | ||||
\(66\) | −1.41966 | − | 15.5849i | −0.174748 | − | 1.91837i | ||||
\(67\) | −3.09710 | + | 9.53189i | −0.378371 | + | 1.16451i | 0.562805 | + | 0.826589i | \(0.309722\pi\) |
−0.941176 | + | 0.337916i | \(0.890278\pi\) | |||||||
\(68\) | −0.924511 | + | 8.58524i | −0.112113 | + | 1.04111i | ||||
\(69\) | −0.0418017 | 0.000526822i | −0.00503234 | 6.34220e-5i | ||||||
\(70\) | −1.46298 | − | 1.06107i | −0.174860 | − | 0.126822i | ||||
\(71\) | −1.01727 | − | 3.13083i | −0.120727 | − | 0.371561i | 0.872371 | − | 0.488844i | \(-0.162581\pi\) |
−0.993098 | + | 0.117283i | \(0.962581\pi\) | |||||||
\(72\) | 0.246326 | − | 8.48171i | 0.0290298 | − | 0.999579i | ||||
\(73\) | 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 | ||||
\(75\) | −6.48422 | + | 5.74064i | −0.748733 | + | 0.662872i | ||||
\(76\) | −2.96634 | − | 0.319434i | −0.340262 | − | 0.0366415i | ||||
\(77\) | −2.95394 | − | 2.14616i | −0.336632 | − | 0.244578i | ||||
\(78\) | 1.59376 | − | 7.01768i | 0.180458 | − | 0.794596i | ||||
\(79\) | 5.80539 | − | 1.88629i | 0.653158 | − | 0.212224i | 0.0363517 | − | 0.999339i | \(-0.488426\pi\) |
0.616806 | + | 0.787115i | \(0.288426\pi\) | |||||||
\(80\) | −8.49818 | − | 2.78944i | −0.950125 | − | 0.311869i | ||||
\(81\) | −7.00535 | − | 5.65023i | −0.778372 | − | 0.627803i | ||||
\(82\) | 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 | \(0.578124\pi\) | |||||||
\(84\) | −1.45100 | − | 1.34686i | −0.158317 | − | 0.146954i | ||||
\(85\) | 8.35050 | − | 4.84464i | 0.905739 | − | 0.525475i | ||||
\(86\) | −3.42720 | + | 0.355790i | −0.369564 | + | 0.0383658i | ||||
\(87\) | 1.65992 | + | 1.23826i | 0.177962 | + | 0.132755i | ||||
\(88\) | −17.1645 | − | 5.64985i | −1.82974 | − | 0.602276i | ||||
\(89\) | 8.73529 | − | 12.0231i | 0.925939 | − | 1.27445i | −0.0354840 | − | 0.999370i | \(-0.511297\pi\) |
0.961423 | − | 0.275075i | \(-0.0887027\pi\) | |||||||
\(90\) | −7.80864 | + | 5.38750i | −0.823102 | + | 0.567893i | ||||
\(91\) | −0.986910 | − | 1.35836i | −0.103456 | − | 0.142395i | ||||
\(92\) | −0.0197466 | + | 0.0440487i | −0.00205873 | + | 0.00459239i | ||||
\(93\) | 4.67454 | + | 15.0286i | 0.484728 | + | 1.55839i | ||||
\(94\) | −4.73013 | + | 2.09876i | −0.487876 | + | 0.216470i | ||||
\(95\) | 1.67390 | + | 2.88523i | 0.171739 | + | 0.296019i | ||||
\(96\) | −8.87362 | − | 4.15439i | −0.905660 | − | 0.424006i | ||||
\(97\) | 9.99435 | − | 3.24736i | 1.01477 | − | 0.329719i | 0.246019 | − | 0.969265i | \(-0.420877\pi\) |
0.768753 | + | 0.639546i | \(0.220877\pi\) | |||||||
\(98\) | 9.38714 | − | 0.974515i | 0.948244 | − | 0.0984409i | ||||
\(99\) | −15.7851 | + | 10.8715i | −1.58646 | + | 1.09263i | ||||
\(100\) | 3.10594 | + | 9.50543i | 0.310594 | + | 0.950543i | ||||
\(101\) | − | 9.92678i | − | 0.987752i | −0.869532 | − | 0.493876i | \(-0.835580\pi\) | ||
0.869532 | − | 0.493876i | \(-0.164420\pi\) | |||||||
\(102\) | 9.71998 | − | 4.16696i | 0.962422 | − | 0.412590i | ||||
\(103\) | −2.00595 | − | 6.17369i | −0.197652 | − | 0.608312i | −0.999935 | − | 0.0113677i | \(-0.996381\pi\) |
0.802283 | − | 0.596944i | \(-0.203619\pi\) | |||||||
\(104\) | −6.70391 | − | 4.91001i | −0.657373 | − | 0.481466i | ||||
\(105\) | −0.254459 | + | 2.19875i | −0.0248326 | + | 0.214576i | ||||
\(106\) | −3.33943 | − | 7.52633i | −0.324354 | − | 0.731022i | ||||
\(107\) | − | 13.1228i | − | 1.26863i | −0.773077 | − | 0.634313i | \(-0.781283\pi\) | ||
0.773077 | − | 0.634313i | \(-0.218717\pi\) | |||||||
\(108\) | −9.20233 | + | 4.82878i | −0.885494 | + | 0.464650i | ||||
\(109\) | −5.63848 | + | 4.09660i | −0.540069 | + | 0.392383i | −0.824111 | − | 0.566429i | \(-0.808325\pi\) |
0.284042 | + | 0.958812i | \(0.408325\pi\) | |||||||
\(110\) | 6.25912 | + | 19.2094i | 0.596784 | + | 1.83154i | ||||
\(111\) | 4.59435 | − | 13.5562i | 0.436076 | − | 1.28670i | ||||
\(112\) | −2.09310 | + | 0.919133i | −0.197780 | + | 0.0868499i | ||||
\(113\) | 2.16481 | − | 1.57283i | 0.203649 | − | 0.147959i | −0.481287 | − | 0.876563i | \(-0.659830\pi\) |
0.684935 | + | 0.728604i | \(0.259830\pi\) | |||||||
\(114\) | 1.43975 | + | 3.35841i | 0.134845 | + | 0.314544i | ||||
\(115\) | 0.0527670 | − | 0.0113322i | 0.00492055 | − | 0.00105673i | ||||
\(116\) | 2.07394 | − | 1.19034i | 0.192560 | − | 0.110520i | ||||
\(117\) | −8.44834 | + | 2.51148i | −0.781049 | + | 0.232186i | ||||
\(118\) | −6.48921 | + | 5.82793i | −0.597380 | + | 0.536505i | ||||
\(119\) | 0.762480 | − | 2.34667i | 0.0698964 | − | 0.215119i | ||||
\(120\) | 2.12383 | + | 10.7466i | 0.193878 | + | 0.981026i | ||||
\(121\) | 9.21415 | + | 28.3582i | 0.837650 | + | 2.57802i | ||||
\(122\) | 12.7279 | + | 7.37013i | 1.15233 | + | 0.667260i | ||||
\(123\) | 2.29564 | − | 6.77359i | 0.206991 | − | 0.610754i | ||||
\(124\) | 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 | 0.563055 | − | 0.826420i | \(-0.309626\pi\) |
−0.611978 | + | 0.790875i | \(0.709626\pi\) | |||||||
\(128\) | −8.47503 | + | 7.49492i | −0.749094 | + | 0.662464i | ||||
\(129\) | 2.43723 | + | 3.44504i | 0.214586 | + | 0.303319i | ||||
\(130\) | 0.00770622 | + | 9.29049i | 0.000675880 | + | 0.814830i | ||||
\(131\) | −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 | ||||
\(134\) | 2.96460 | − | 13.8603i | 0.256103 | − | 1.19735i | ||||
\(135\) | 10.4390 | + | 5.10170i | 0.898446 | + | 0.439085i | ||||
\(136\) | 0.0467635 | − | 12.2115i | 0.00400994 | − | 1.04712i | ||||
\(137\) | 1.09148 | − | 0.793004i | 0.0932512 | − | 0.0677509i | −0.540183 | − | 0.841548i | \(-0.681645\pi\) |
0.633434 | + | 0.773797i | \(0.281645\pi\) | |||||||
\(138\) | 0.0588775 | − | 0.00536326i | 0.00501199 | − | 0.000456551i | ||||
\(139\) | −7.62410 | + | 10.4937i | −0.646668 | + | 0.890062i | −0.998949 | − | 0.0458321i | \(-0.985406\pi\) |
0.352281 | + | 0.935894i | \(0.385406\pi\) | |||||||
\(140\) | 2.21286 | + | 1.27891i | 0.187021 | + | 0.108088i | ||||
\(141\) | 5.08008 | + | 3.78962i | 0.427820 | + | 0.319143i | ||||
\(142\) | 1.88814 | + | 4.25544i | 0.158449 | + | 0.357109i | ||||
\(143\) | 18.7699i | 1.56962i | ||||||||
\(144\) | 0.892089 | + | 11.9668i | 0.0743407 | + | 0.997233i | ||||
\(145\) | −2.44466 | − | 1.08227i | −0.203018 | − | 0.0898776i | ||||
\(146\) | −6.01240 | + | 10.3831i | −0.497589 | + | 0.859315i | ||||
\(147\) | −6.67561 | − | 9.43601i | −0.550595 | − | 0.778269i | ||||
\(148\) | −12.2544 | − | 11.0907i | −1.00730 | − | 0.911648i | ||||
\(149\) | 15.2344i | 1.24805i | 0.781403 | + | 0.624027i | \(0.214504\pi\) | ||||
−0.781403 | + | 0.624027i | \(0.785496\pi\) | |||||||
\(150\) | 8.28274 | − | 9.02198i | 0.676283 | − | 0.736642i | ||||
\(151\) | 7.90033i | 0.642920i | 0.946923 | + | 0.321460i | \(0.104174\pi\) | ||||
−0.946923 | + | 0.321460i | \(0.895826\pi\) | |||||||
\(152\) | 4.21926 | + | 0.0161576i | 0.342227 | + | 0.00131055i | ||||
\(153\) | −10.2834 | − | 7.87484i | −0.831367 | − | 0.636643i | ||||
\(154\) | 4.46857 | + | 2.58754i | 0.360088 | + | 0.208510i | ||||
\(155\) | −10.1964 | − | 17.5751i | −0.818994 | − | 1.41167i | ||||
\(156\) | −1.21707 | + | 10.1042i | −0.0974440 | + | 0.808983i | ||||
\(157\) | − | 7.37427i | − | 0.588531i | −0.955724 | − | 0.294265i | \(-0.904925\pi\) | ||
0.955724 | − | 0.294265i | \(-0.0950750\pi\) | |||||||
\(158\) | −7.89072 | + | 3.50111i | −0.627752 | + | 0.278534i | ||||
\(159\) | −6.02984 | + | 8.08315i | −0.478197 | + | 0.641036i | ||||
\(160\) | 12.3613 | + | 2.68279i | 0.977250 | + | 0.212093i | ||||
\(161\) | 0.00810787 | − | 0.0111595i | 0.000638990 | − | 0.000879494i | ||||
\(162\) | 10.6792 | + | 6.92492i | 0.839038 | + | 0.544073i | ||||
\(163\) | 14.5917 | − | 10.6015i | 1.14291 | − | 0.830375i | 0.155391 | − | 0.987853i | \(-0.450336\pi\) |
0.987523 | + | 0.157478i | \(0.0503363\pi\) | |||||||
\(164\) | −6.12309 | − | 5.54163i | −0.478133 | − | 0.432729i | ||||
\(165\) | 16.7490 | − | 18.2136i | 1.30391 | − | 1.41792i | ||||
\(166\) | −1.73039 | − | 0.370116i | −0.134305 | − | 0.0287266i | ||||
\(167\) | −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 | ||||
\(170\) | −11.0388 | + | 8.03415i | −0.846637 | + | 0.616191i | ||||
\(171\) | 2.72089 | − | 3.55310i | 0.208071 | − | 0.271712i | ||||
\(172\) | 4.76892 | − | 1.00095i | 0.363627 | − | 0.0763215i | ||||
\(173\) | −10.1333 | − | 7.36225i | −0.770418 | − | 0.559741i | 0.131670 | − | 0.991294i | \(-0.457966\pi\) |
−0.902088 | + | 0.431552i | \(0.857966\pi\) | |||||||
\(174\) | −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 | ||||
\(177\) | 10.1171 | + | 3.42879i | 0.760447 | + | 0.257723i | ||||
\(178\) | −10.5318 | + | 18.1879i | −0.789391 | + | 1.36324i | ||||
\(179\) | −3.15823 | − | 9.72002i | −0.236057 | − | 0.726509i | −0.996979 | − | 0.0776659i | \(-0.975253\pi\) |
0.760922 | − | 0.648843i | \(-0.224747\pi\) | |||||||
\(180\) | 10.1973 | − | 8.71865i | 0.760063 | − | 0.649850i | ||||
\(181\) | −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 | ||||
\(183\) | 0.227001 | − | 18.0118i | 0.0167804 | − | 1.33147i | ||||
\(184\) | 0.0213443 | − | 0.0648449i | 0.00157352 | − | 0.00478043i | ||||
\(185\) | −1.89285 | + | 18.3816i | −0.139165 | + | 1.35144i | ||||
\(186\) | −8.77009 | − | 20.4574i | −0.643055 | − | 1.50001i | ||||
\(187\) | −22.3155 | + | 16.2132i | −1.63187 | + | 1.18563i | ||||
\(188\) | 6.34717 | − | 3.64297i | 0.462915 | − | 0.265691i | ||||
\(189\) | 2.85695 | − | 0.810258i | 0.207813 | − | 0.0589376i | ||||
\(190\) | −2.77593 | − | 3.81408i | −0.201387 | − | 0.276703i | ||||
\(191\) | 9.57476 | − | 6.95647i | 0.692805 | − | 0.503353i | −0.184776 | − | 0.982781i | \(-0.559156\pi\) |
0.877581 | + | 0.479428i | \(0.159156\pi\) | |||||||
\(192\) | 13.0888 | + | 4.54797i | 0.944601 | + | 0.328222i | ||||
\(193\) | 0.806872i | 0.0580799i | 0.999578 | + | 0.0290400i | \(0.00924501\pi\) | ||||
−0.999578 | + | 0.0290400i | \(0.990755\pi\) | |||||||
\(194\) | −13.5844 | + | 6.02739i | −0.975301 | + | 0.432741i | ||||
\(195\) | 9.91323 | − | 5.58550i | 0.709901 | − | 0.399986i | ||||
\(196\) | −13.0621 | + | 2.74161i | −0.933011 | + | 0.195829i | ||||
\(197\) | −5.69341 | − | 17.5225i | −0.405638 | − | 1.24843i | −0.920361 | − | 0.391070i | \(-0.872105\pi\) |
0.514723 | − | 0.857357i | \(-0.327895\pi\) | |||||||
\(198\) | 20.6166 | − | 17.5975i | 1.46516 | − | 1.25060i | ||||
\(199\) | − | 11.0655i | − | 0.784415i | −0.919877 | − | 0.392208i | \(-0.871711\pi\) | ||
0.919877 | − | 0.392208i | \(-0.128289\pi\) | |||||||
\(200\) | −5.75707 | − | 12.9173i | −0.407086 | − | 0.913390i | ||||
\(201\) | −16.5760 | + | 5.15585i | −1.16918 | + | 0.363666i | ||||
\(202\) | 1.44961 | + | 13.9635i | 0.101994 | + | 0.982472i | ||||
\(203\) | −0.649866 | + | 0.211154i | −0.0456116 | + | 0.0148201i | ||||
\(204\) | −13.0642 | + | 7.28087i | −0.914674 | + | 0.509763i | ||||
\(205\) | −0.945794 | + | 9.18465i | −0.0660571 | + | 0.641484i | ||||
\(206\) | 3.72323 | + | 8.39131i | 0.259409 | + | 0.584651i | ||||
\(207\) | −0.0410708 | − | 0.0596337i | −0.00285462 | − | 0.00414483i | ||||
\(208\) | 10.1471 | + | 5.92771i | 0.703574 | + | 0.411013i | ||||
\(209\) | −5.60192 | − | 7.71038i | −0.387493 | − | 0.533338i | ||||
\(210\) | 0.0368509 | − | 3.13004i | 0.00254295 | − | 0.215994i | ||||
\(211\) | −13.6581 | + | 18.7988i | −0.940264 | + | 1.29416i | 0.0154551 | + | 0.999881i | \(0.495080\pi\) |
−0.955719 | + | 0.294281i | \(0.904920\pi\) | |||||||
\(212\) | 5.79650 | + | 10.0993i | 0.398105 | + | 0.693622i | ||||
\(213\) | 3.40931 | − | 4.57027i | 0.233602 | − | 0.313150i | ||||
\(214\) | 1.91632 | + | 18.4592i | 0.130997 | + | 1.26184i | ||||
\(215\) | −4.05632 | − | 3.63689i | −0.276638 | − | 0.248034i | ||||
\(216\) | 12.2393 | − | 8.13624i | 0.832782 | − | 0.553601i | ||||
\(217\) | −4.93899 | − | 1.60477i | −0.335280 | − | 0.108939i | ||||
\(218\) | 7.33317 | − | 6.58588i | 0.496665 | − | 0.446052i | ||||
\(219\) | 14.6937 | + | 0.185182i | 0.992905 | + | 0.0125135i | ||||
\(220\) | −11.6096 | − | 26.1069i | −0.782716 | − | 1.76013i | ||||
\(221\) | −12.0634 | + | 3.91965i | −0.811475 | + | 0.263664i | ||||
\(222\) | −4.48304 | + | 19.7398i | −0.300882 | + | 1.32485i | ||||
\(223\) | 4.01422 | + | 2.91650i | 0.268812 | + | 0.195303i | 0.714023 | − | 0.700122i | \(-0.246871\pi\) |
−0.445211 | + | 0.895426i | \(0.646871\pi\) | |||||||
\(224\) | 2.81005 | − | 1.59856i | 0.187754 | − | 0.106808i | ||||
\(225\) | −14.6035 | − | 3.42597i | −0.973568 | − | 0.228398i | ||||
\(226\) | −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 | \(0.242037\pi\) | |||||||
\(228\) | −2.51566 | − | 4.51388i | −0.166604 | − | 0.298939i | ||||
\(229\) | −5.31601 | − | 16.3610i | −0.351292 | − | 1.08116i | −0.958129 | − | 0.286338i | \(-0.907562\pi\) |
0.606837 | − | 0.794826i | \(-0.292438\pi\) | |||||||
\(230\) | −0.0725700 | + | 0.0236460i | −0.00478513 | + | 0.00155917i | ||||
\(231\) | 0.0796966 | − | 6.32368i | 0.00524365 | − | 0.416068i | ||||
\(232\) | −2.74349 | + | 1.97725i | −0.180119 | + | 0.129813i | ||||
\(233\) | −3.62305 | + | 11.1506i | −0.237354 | + | 0.730501i | 0.759446 | + | 0.650570i | \(0.225470\pi\) |
−0.996800 | + | 0.0799309i | \(0.974530\pi\) | |||||||
\(234\) | 11.5171 | − | 4.76649i | 0.752899 | − | 0.311595i | ||||
\(235\) | −7.48174 | − | 3.31222i | −0.488055 | − | 0.216066i | ||||
\(236\) | 8.27702 | − | 9.14550i | 0.538788 | − | 0.595322i | ||||
\(237\) | 8.47450 | + | 6.32177i | 0.550478 | + | 0.410643i | ||||
\(238\) | −0.729861 | + | 3.41230i | −0.0473098 | + | 0.221187i | ||||
\(239\) | 17.3488 | + | 12.6046i | 1.12220 | + | 0.815326i | 0.984541 | − | 0.175154i | \(-0.0560424\pi\) |
0.137658 | + | 0.990480i | \(0.456042\pi\) | |||||||
\(240\) | −4.55682 | − | 14.8066i | −0.294141 | − | 0.955762i | ||||
\(241\) | 16.3429 | − | 11.8738i | 1.05274 | − | 0.764858i | 0.0800062 | − | 0.996794i | \(-0.474506\pi\) |
0.972731 | + | 0.231936i | \(0.0745060\pi\) | |||||||
\(242\) | −17.1023 | − | 38.5447i | −1.09938 | − | 2.47775i | ||||
\(243\) | 0.981596 | − | 15.5575i | 0.0629694 | − | 0.998015i | ||||
\(244\) | −18.9800 | − | 8.50856i | −1.21507 | − | 0.544705i | ||||
\(245\) | 11.1103 | + | 9.96148i | 0.709812 | + | 0.636416i | ||||
\(246\) | −2.24002 | + | 9.86333i | −0.142819 | + | 0.628863i | ||||
\(247\) | −1.35430 | − | 4.16811i | −0.0861722 | − | 0.265211i | ||||
\(248\) | −25.7012 | − | 0.0984221i | −1.63203 | − | 0.00624981i | ||||
\(249\) | 0.643683 | + | 2.06943i | 0.0407917 | + | 0.131145i | ||||
\(250\) | −7.83656 | + | 13.7327i | −0.495628 | + | 0.868535i | ||||
\(251\) | 0.126327 | 0.00797366 | 0.00398683 | − | 0.999992i | \(-0.498731\pi\) | ||||
0.00398683 | + | 0.999992i | \(0.498731\pi\) | |||||||
\(252\) | 0.452940 | − | 3.39898i | 0.0285326 | − | 0.214116i | ||||
\(253\) | −0.146655 | + | 0.0476513i | −0.00922015 | + | 0.00299581i | ||||
\(254\) | 0.834040 | + | 0.482954i | 0.0523323 | + | 0.0303032i | ||||
\(255\) | 15.2035 | + | 6.96115i | 0.952080 | + | 0.435924i | ||||
\(256\) | 10.8270 | − | 11.7804i | 0.676684 | − | 0.736273i | ||||
\(257\) | 23.6075 | 1.47260 | 0.736299 | − | 0.676656i | \(-0.236572\pi\) | ||||
0.736299 | + | 0.676656i | \(0.236572\pi\) | |||||||
\(258\) | −3.93142 | − | 4.49007i | −0.244760 | − | 0.279539i | ||||
\(259\) | 2.77605 | + | 3.82091i | 0.172495 | + | 0.237420i | ||||
\(260\) | −1.36753 | − | 13.0674i | −0.0848107 | − | 0.810404i | ||||
\(261\) | −0.0903960 | + | 3.58575i | −0.00559537 | + | 0.221953i | ||||
\(262\) | 4.65945 | − | 21.7842i | 0.287862 | − | 1.34583i | ||||
\(263\) | 6.23673 | + | 8.58413i | 0.384573 | + | 0.529320i | 0.956789 | − | 0.290783i | \(-0.0939159\pi\) |
−0.572215 | + | 0.820103i | \(0.693916\pi\) | |||||||
\(264\) | −9.18149 | − | 29.9219i | −0.565082 | − | 1.84157i | ||||
\(265\) | 5.27024 | − | 11.9046i | 0.323748 | − | 0.731291i | ||||
\(266\) | −1.17901 | − | 0.252179i | −0.0722894 | − | 0.0154621i | ||||
\(267\) | 25.7386 | + | 0.324380i | 1.57518 | + | 0.0198518i | ||||
\(268\) | −2.14614 | + | 19.9296i | −0.131097 | + | 1.21740i | ||||
\(269\) | −18.3932 | − | 5.97632i | −1.12145 | − | 0.364383i | −0.311132 | − | 0.950367i | \(-0.600708\pi\) |
−0.810323 | + | 0.585984i | \(0.800708\pi\) | |||||||
\(270\) | −15.4291 | − | 5.65192i | −0.938982 | − | 0.343965i | ||||
\(271\) | 9.62907 | − | 3.12868i | 0.584924 | − | 0.190053i | −0.00158099 | − | 0.999999i | \(-0.500503\pi\) |
0.586505 | + | 0.809945i | \(0.300503\pi\) | |||||||
\(272\) | 1.71746 | + | 17.1841i | 0.104136 | + | 1.04194i | ||||
\(273\) | 0.933456 | − | 2.75429i | 0.0564954 | − | 0.166697i | ||||
\(274\) | −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 | \(0.183974\pi\) | |||||||
\(278\) | 9.19208 | − | 15.8743i | 0.551304 | − | 0.952078i | ||||
\(279\) | −16.5740 | + | 21.6433i | −0.992259 | + | 1.29575i | ||||
\(280\) | −3.29948 | − | 1.47584i | −0.197182 | − | 0.0881986i | ||||
\(281\) | −6.69110 | − | 2.17407i | −0.399158 | − | 0.129694i | 0.102557 | − | 0.994727i | \(-0.467297\pi\) |
−0.501715 | + | 0.865033i | \(0.667297\pi\) | |||||||
\(282\) | −7.69931 | − | 4.58883i | −0.458487 | − | 0.273261i | ||||
\(283\) | −0.0631316 | + | 0.194299i | −0.00375278 | + | 0.0115499i | −0.952915 | − | 0.303236i | \(-0.901933\pi\) |
0.949163 | + | 0.314786i | \(0.101933\pi\) | |||||||
\(284\) | −3.27738 | − | 5.71021i | −0.194477 | − | 0.338838i | ||||
\(285\) | −2.40519 | + | 5.25306i | −0.142471 | + | 0.311164i | ||||
\(286\) | −2.74097 | − | 26.4028i | −0.162077 | − | 1.56123i | ||||
\(287\) | 1.38710 | + | 1.90918i | 0.0818778 | + | 0.112695i | ||||
\(288\) | −3.00237 | − | 16.7029i | −0.176917 | − | 0.984226i | ||||
\(289\) | −1.32700 | − | 0.964124i | −0.0780590 | − | 0.0567132i | ||||
\(290\) | 3.59683 | + | 1.16538i | 0.211213 | + | 0.0684338i | ||||
\(291\) | 14.5894 | + | 10.8833i | 0.855245 | + | 0.637992i | ||||
\(292\) | 6.94111 | − | 15.4835i | 0.406198 | − | 0.906102i | ||||
\(293\) | 12.9095 | 0.754182 | 0.377091 | − | 0.926176i | \(-0.376924\pi\) | ||||
0.377091 | + | 0.926176i | \(0.376924\pi\) | |||||||
\(294\) | 10.7682 | + | 12.2984i | 0.628015 | + | 0.717255i | ||||
\(295\) | −13.7183 | − | 1.41265i | −0.798709 | − | 0.0822474i | ||||
\(296\) | 18.8572 | + | 13.8112i | 1.09606 | + | 0.802761i | ||||
\(297\) | −31.1624 | − | 11.4446i | −1.80823 | − | 0.664085i | ||||
\(298\) | −2.22469 | − | 21.4296i | −0.128873 | − | 1.24138i | ||||
\(299\) | −0.0709099 | −0.00410083 | ||||||||
\(300\) | −10.3335 | + | 13.9003i | −0.596603 | + | 0.802536i | ||||
\(301\) | −1.39242 | −0.0802580 | ||||||||
\(302\) | −1.15369 | − | 11.1130i | −0.0663872 | − | 0.639483i | ||||
\(303\) | 14.0362 | − | 9.93010i | 0.806361 | − | 0.570470i | ||||
\(304\) | −5.93740 | + | 0.593411i | −0.340533 | + | 0.0340345i | ||||
\(305\) | 4.88288 | + | 22.7366i | 0.279593 | + | 1.30189i | ||||
\(306\) | 15.6152 | + | 9.57548i | 0.892662 | + | 0.547394i | ||||
\(307\) | 16.8845 | 0.963647 | 0.481823 | − | 0.876268i | \(-0.339975\pi\) | ||||
0.481823 | + | 0.876268i | \(0.339975\pi\) | |||||||
\(308\) | −6.66359 | − | 2.98723i | −0.379694 | − | 0.170213i | ||||
\(309\) | 6.72283 | − | 9.01213i | 0.382448 | − | 0.512682i | ||||
\(310\) | 16.9093 | + | 23.2331i | 0.960383 | + | 1.31955i | ||||
\(311\) | 9.58877 | + | 6.96665i | 0.543729 | + | 0.395043i | 0.825468 | − | 0.564449i | \(-0.190911\pi\) |
−0.281739 | + | 0.959491i | \(0.590911\pi\) | |||||||
\(312\) | 0.236487 | − | 14.3908i | 0.0133884 | − | 0.814720i | ||||
\(313\) | −11.9954 | − | 16.5102i | −0.678019 | − | 0.933213i | 0.321889 | − | 0.946777i | \(-0.395682\pi\) |
−0.999908 | + | 0.0135646i | \(0.995682\pi\) | |||||||
\(314\) | 1.07687 | + | 10.3730i | 0.0607710 | + | 0.585385i | ||||
\(315\) | −3.36353 | + | 1.83969i | −0.189514 | + | 0.103655i | ||||
\(316\) | 10.5882 | − | 6.07714i | 0.595635 | − | 0.341866i | ||||
\(317\) | −5.62883 | + | 17.3238i | −0.316147 | + | 0.972999i | 0.659133 | + | 0.752026i | \(0.270923\pi\) |
−0.975280 | + | 0.220973i | \(0.929077\pi\) | |||||||
\(318\) | 7.30151 | − | 12.2507i | 0.409448 | − | 0.686987i | ||||
\(319\) | 7.26486 | + | 2.36050i | 0.406754 | + | 0.132162i | ||||
\(320\) | −17.7799 | − | 1.96862i | −0.993926 | − | 0.110049i | ||||
\(321\) | 18.5553 | − | 13.1272i | 1.03565 | − | 0.732686i | ||||
\(322\) | −0.00977534 | + | 0.0168816i | −0.000544759 | + | 0.000940774i | ||||
\(323\) | 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 | ||||
\(327\) | −11.4329 | − | 3.87472i | −0.632239 | − | 0.214272i | ||||
\(328\) | 9.42232 | + | 6.90100i | 0.520260 | + | 0.381044i | ||||
\(329\) | −1.98888 | + | 0.646225i | −0.109650 | + | 0.0356275i | ||||
\(330\) | −20.9004 | + | 28.0660i | −1.15053 | + | 1.54498i | ||||
\(331\) | −13.5418 | − | 4.40001i | −0.744327 | − | 0.241847i | −0.0877887 | − | 0.996139i | \(-0.527980\pi\) |
−0.656538 | + | 0.754293i | \(0.727980\pi\) | |||||||
\(332\) | 2.48811 | + | 0.267935i | 0.136553 | + | 0.0147049i | ||||
\(333\) | 23.7641 | − | 7.06447i | 1.30226 | − | 0.387131i | ||||
\(334\) | 13.5824 | + | 2.90515i | 0.743195 | + | 0.158963i | ||||
\(335\) | 19.3847 | − | 11.2463i | 1.05910 | − | 0.614449i | ||||
\(336\) | −3.39344 | − | 2.04016i | −0.185127 | − | 0.111300i | ||||
\(337\) | 10.1859 | + | 14.0198i | 0.554864 | + | 0.763705i | 0.990662 | − | 0.136340i | \(-0.0435339\pi\) |
−0.435798 | + | 0.900044i | \(0.643534\pi\) | |||||||
\(338\) | −1.29224 | + | 6.04158i | −0.0702886 | + | 0.328619i | ||||
\(339\) | 4.38948 | + | 1.48764i | 0.238404 | + | 0.0807976i | ||||
\(340\) | 14.3545 | − | 12.9133i | 0.778484 | − | 0.700320i | ||||
\(341\) | 34.1235 | + | 46.9670i | 1.84789 | + | 2.54341i | ||||
\(342\) | −3.30848 | + | 5.39531i | −0.178902 | + | 0.291745i | ||||
\(343\) | 7.81441 | 0.421938 | ||||||||
\(344\) | −6.56205 | + | 2.10439i | −0.353802 | + | 0.113461i | ||||
\(345\) | 0.0688081 | + | 0.0632753i | 0.00370450 | + | 0.00340663i | ||||
\(346\) | 15.3291 | + | 8.87637i | 0.824098 | + | 0.477197i | ||||
\(347\) | −7.16370 | + | 2.32763i | −0.384568 | + | 0.124954i | −0.494919 | − | 0.868939i | \(-0.664802\pi\) |
0.110351 | + | 0.993893i | \(0.464802\pi\) | |||||||
\(348\) | 3.75775 | + | 1.74176i | 0.201436 | + | 0.0933684i | ||||
\(349\) | −29.9877 | −1.60521 | −0.802604 | − | 0.596513i | \(-0.796553\pi\) | ||||
−0.802604 | + | 0.596513i | \(0.796553\pi\) | |||||||
\(350\) | 0.851802 | + | 3.95036i | 0.0455307 | + | 0.211156i | ||||
\(351\) | −12.0023 | − | 9.43344i | −0.640637 | − | 0.503520i | ||||
\(352\) | −35.9181 | − | 4.00708i | −1.91444 | − | 0.213578i | ||||
\(353\) | −5.71654 | − | 17.5937i | −0.304261 | − | 0.936419i | −0.979952 | − | 0.199234i | \(-0.936155\pi\) |
0.675691 | − | 0.737185i | \(-0.263845\pi\) | |||||||
\(354\) | −14.7319 | − | 3.34572i | −0.782994 | − | 0.177823i | ||||
\(355\) | −2.97983 | + | 6.73091i | −0.158153 | + | 0.357240i | ||||
\(356\) | 12.1586 | − | 27.1221i | 0.644405 | − | 1.43747i | ||||
\(357\) | 4.08087 | − | 1.26933i | 0.215983 | − | 0.0671800i | ||||
\(358\) | 5.86195 | + | 13.2115i | 0.309814 | + | 0.698250i | ||||
\(359\) | −10.7589 | + | 7.81678i | −0.567832 | + | 0.412554i | −0.834317 | − | 0.551285i | \(-0.814138\pi\) |
0.266485 | + | 0.963839i | \(0.414138\pi\) | |||||||
\(360\) | −13.0709 | + | 13.7532i | −0.688897 | + | 0.724859i | ||||
\(361\) | −13.5710 | − | 9.85992i | −0.714264 | − | 0.518943i | ||||
\(362\) | 6.70056 | − | 31.3270i | 0.352174 | − | 1.64651i | ||||
\(363\) | −30.8807 | + | 41.3963i | −1.62081 | + | 2.17274i | ||||
\(364\) | −2.48978 | − | 2.25335i | −0.130500 | − | 0.118107i | ||||
\(365\) | −18.5480 | + | 3.98335i | −0.970848 | + | 0.208498i | ||||
\(366\) | 2.31096 | + | 25.3695i | 0.120796 | + | 1.32609i | ||||
\(367\) | 1.95631 | − | 6.02092i | 0.102119 | − | 0.314289i | −0.886925 | − | 0.461914i | \(-0.847163\pi\) |
0.989043 | + | 0.147625i | \(0.0471628\pi\) | |||||||
\(368\) | −0.0205547 | + | 0.0943312i | −0.00107149 | + | 0.00491735i | ||||
\(369\) | 11.8741 | − | 3.52987i | 0.618141 | − | 0.183758i | ||||
\(370\) | −0.0216766 | − | 26.1330i | −0.00112691 | − | 1.35859i | ||||
\(371\) | −1.02824 | − | 3.16459i | −0.0533835 | − | 0.164298i | ||||
\(372\) | 15.3239 | + | 27.4958i | 0.794507 | + | 1.42559i | ||||
\(373\) | 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 | ||||
\(375\) | 19.3645 | + | 0.121695i | 0.999980 | + | 0.00628430i | ||||
\(376\) | −8.39629 | + | 6.05127i | −0.433006 | + | 0.312071i | ||||
\(377\) | 2.84180 | + | 2.06469i | 0.146360 | + | 0.106337i | ||||
\(378\) | −3.90042 | + | 1.55695i | −0.200616 | + | 0.0800810i | ||||
\(379\) | 5.02371 | − | 1.63230i | 0.258051 | − | 0.0838458i | −0.177135 | − | 0.984187i | \(-0.556683\pi\) |
0.435185 | + | 0.900341i | \(0.356683\pi\) | |||||||
\(380\) | 4.46174 | + | 4.95973i | 0.228883 | + | 0.254429i | ||||
\(381\) | 0.0148750 | − | 1.18029i | 0.000762071 | − | 0.0604680i | ||||
\(382\) | −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 | \(0.749189\pi\) | |||||||
\(384\) | −19.0755 | − | 4.48607i | −0.973443 | − | 0.228929i | ||||
\(385\) | 1.71431 | + | 7.98248i | 0.0873691 | + | 0.406825i | ||||
\(386\) | −0.117828 | − | 1.13499i | −0.00599727 | − | 0.0577694i | ||||
\(387\) | −2.43316 | + | 6.89238i | −0.123684 | + | 0.350359i | ||||
\(388\) | 18.2283 | − | 10.4622i | 0.925403 | − | 0.531137i | ||||
\(389\) | −3.77356 | + | 5.19386i | −0.191327 | + | 0.263339i | −0.893894 | − | 0.448279i | \(-0.852037\pi\) |
0.702567 | + | 0.711618i | \(0.252037\pi\) | |||||||
\(390\) | −13.1288 | + | 9.30450i | −0.664804 | + | 0.471151i | ||||
\(391\) | −0.0612510 | − | 0.0843047i | −0.00309759 | − | 0.00426347i | ||||
\(392\) | 17.9736 | − | 5.76396i | 0.907802 | − | 0.291124i | ||||
\(393\) | −26.0524 | + | 8.10343i | −1.31417 | + | 0.408764i | ||||
\(394\) | 10.5675 | + | 23.8167i | 0.532381 | + | 1.19987i | ||||
\(395\) | −12.4809 | − | 5.52540i | −0.627983 | − | 0.278013i | ||||
\(396\) | −26.4307 | + | 27.7643i | −1.32819 | + | 1.39521i | ||||
\(397\) | 23.7613 | − | 7.72051i | 1.19254 | − | 0.387481i | 0.355531 | − | 0.934664i | \(-0.384300\pi\) |
0.837013 | + | 0.547183i | \(0.184300\pi\) | |||||||
\(398\) | 1.61590 | + | 15.5654i | 0.0809979 | + | 0.780222i | ||||
\(399\) | 0.438573 | + | 1.41001i | 0.0219561 | + | 0.0705887i | ||||
\(400\) | 9.98451 | + | 17.3294i | 0.499226 | + | 0.866472i | ||||
\(401\) | − | 9.88161i | − | 0.493464i | −0.969084 | − | 0.246732i | \(-0.920643\pi\) | ||
0.969084 | − | 0.246732i | \(-0.0793567\pi\) | |||||||
\(402\) | 22.5638 | − | 9.67310i | 1.12538 | − | 0.482450i | ||||
\(403\) | 8.24959 | + | 25.3896i | 0.410942 | + | 1.26475i | ||||
\(404\) | −4.07820 | − | 19.4302i | −0.202898 | − | 0.966688i | ||||
\(405\) | 3.22880 | + | 19.8639i | 0.160440 | + | 0.987046i | ||||
\(406\) | 0.883301 | − | 0.391921i | 0.0438375 | − | 0.0194507i | ||||
\(407\) | − | 52.7974i | − | 2.61707i | ||||||
\(408\) | 17.3135 | − | 12.1494i | 0.857147 | − | 0.601486i | ||||
\(409\) | 4.17728 | − | 3.03497i | 0.206553 | − | 0.150070i | −0.479700 | − | 0.877433i | \(-0.659254\pi\) |
0.686253 | + | 0.727363i | \(0.259254\pi\) | |||||||
\(410\) | −0.0108311 | − | 13.0577i | −0.000534908 | − | 0.644876i | ||||
\(411\) | 2.21313 | + | 0.750053i | 0.109166 | + | 0.0369974i | ||||
\(412\) | −6.46268 | − | 11.2600i | −0.318393 | − | 0.554739i | ||||
\(413\) | −2.85156 | + | 2.07178i | −0.140316 | + | 0.101946i | ||||
\(414\) | 0.0664807 | + | 0.0778864i | 0.00326735 | + | 0.00382791i | ||||
\(415\) | −1.40404 | − | 2.42008i | −0.0689216 | − | 0.118797i | ||||
\(416\) | −15.1391 | − | 6.85646i | −0.742254 | − | 0.336165i | ||||
\(417\) | −22.4645 | − | 0.283117i | −1.10009 | − | 0.0138643i | ||||
\(418\) | 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 | \(0.0794963\pi\) | |||||||
\(420\) | 0.405244 | + | 4.40827i | 0.0197739 | + | 0.215102i | ||||
\(421\) | 5.25352 | + | 16.1687i | 0.256041 | + | 0.788012i | 0.993623 | + | 0.112755i | \(0.0359675\pi\) |
−0.737582 | + | 0.675257i | \(0.764033\pi\) | |||||||
\(422\) | 16.4671 | − | 28.4379i | 0.801604 | − | 1.38433i | ||||
\(423\) | −0.276652 | + | 10.9740i | −0.0134513 | + | 0.533574i | ||||
\(424\) | −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 | ||||
\(428\) | −5.39119 | − | 25.6858i | −0.260593 | − | 1.24157i | ||||
\(429\) | −26.5402 | + | 18.7762i | −1.28137 | + | 0.906524i | ||||
\(430\) | 6.23693 | + | 4.52349i | 0.300771 | + | 0.218142i | ||||
\(431\) | −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 | \(0.404108\pi\) | |||||||
\(434\) | 7.18179 | + | 1.53612i | 0.344737 | + | 0.0737361i | ||||
\(435\) | −0.915174 | − | 4.53932i | −0.0438792 | − | 0.217644i | ||||
\(436\) | −9.35349 | + | 10.3349i | −0.447951 | + | 0.494953i | ||||
\(437\) | 0.0291287 | − | 0.0211632i | 0.00139341 | − | 0.00101237i | ||||
\(438\) | −20.6959 | + | 1.88523i | −0.988890 | + | 0.0900797i | ||||
\(439\) | 12.8074 | − | 17.6279i | 0.611265 | − | 0.841335i | −0.385415 | − | 0.922743i | \(-0.625942\pi\) |
0.996681 | + | 0.0814086i | \(0.0259419\pi\) | |||||||
\(440\) | 20.1430 | + | 35.0280i | 0.960281 | + | 1.66990i | ||||
\(441\) | 6.66445 | − | 18.8783i | 0.317355 | − | 0.898968i | ||||
\(442\) | 16.3967 | − | 7.27522i | 0.779911 | − | 0.346047i | ||||
\(443\) | − | 4.33324i | − | 0.205878i | −0.994688 | − | 0.102939i | \(-0.967175\pi\) | ||
0.994688 | − | 0.102939i | \(-0.0328247\pi\) | |||||||
\(444\) | 3.42348 | − | 28.4218i | 0.162471 | − | 1.34884i | ||||
\(445\) | −32.4902 | + | 6.97755i | −1.54018 | + | 0.330768i | ||||
\(446\) | −6.07251 | − | 3.51631i | −0.287542 | − | 0.166502i | ||||
\(447\) | −21.5411 | + | 15.2395i | −1.01886 | + | 0.720805i | ||||
\(448\) | −3.71933 | + | 2.65897i | −0.175722 | + | 0.125625i | ||||
\(449\) | 2.83535i | 0.133809i | 0.997759 | + | 0.0669043i | \(0.0213122\pi\) | ||||
−0.997759 | + | 0.0669043i | \(0.978688\pi\) | |||||||
\(450\) | 21.0424 | + | 2.68660i | 0.991948 | + | 0.126648i | ||||
\(451\) | − | 26.3811i | − | 1.24224i | ||||||
\(452\) | 3.59114 | − | 3.96794i | 0.168913 | − | 0.186636i | ||||
\(453\) | −11.1709 | + | 7.90297i | −0.524854 | + | 0.371314i | ||||
\(454\) | 2.81190 | − | 4.85603i | 0.131969 | − | 0.227905i | ||||
\(455\) | −0.384580 | + | 3.73468i | −0.0180294 | + | 0.175084i | ||||
\(456\) | 4.19783 | + | 5.98210i | 0.196581 | + | 0.280137i | ||||
\(457\) | 24.8353i | 1.16174i | 0.813995 | + | 0.580872i | \(0.197288\pi\) | ||||
−0.813995 | + | 0.580872i | \(0.802712\pi\) | |||||||
\(458\) | 9.86698 | + | 22.2379i | 0.461054 | + | 1.03911i | ||||
\(459\) | 0.847955 | − | 22.4180i | 0.0395791 | − | 1.04638i | ||||
\(460\) | 0.0986279 | − | 0.0438592i | 0.00459855 | − | 0.00204494i | ||||
\(461\) | −2.65120 | + | 3.64907i | −0.123479 | + | 0.169954i | −0.866281 | − | 0.499557i | \(-0.833496\pi\) |
0.742802 | + | 0.669511i | \(0.233496\pi\) | |||||||
\(462\) | 0.811342 | + | 8.90687i | 0.0377471 | + | 0.414385i | ||||
\(463\) | 12.2189 | − | 8.87753i | 0.567859 | − | 0.412574i | −0.266468 | − | 0.963844i | \(-0.585857\pi\) |
0.834327 | + | 0.551270i | \(0.185857\pi\) | |||||||
\(464\) | 3.57040 | − | 3.18195i | 0.165752 | − | 0.147718i | ||||
\(465\) | 14.6510 | − | 31.9984i | 0.679423 | − | 1.48389i | ||||
\(466\) | 3.46806 | − | 16.2141i | 0.160655 | − | 0.751105i | ||||
\(467\) | 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 | ||||
\(470\) | 11.0079 | + | 3.56659i | 0.507757 | + | 0.164515i | ||||
\(471\) | 10.4270 | − | 7.37674i | 0.480453 | − | 0.339902i | ||||
\(472\) | −10.3074 | + | 14.0733i | −0.474436 | + | 0.647774i | ||||
\(473\) | 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 | ||||
\(477\) | −17.4612 | − | 0.440194i | −0.799495 | − | 0.0201551i | ||||
\(478\) | −26.2444 | − | 15.1969i | −1.20039 | − | 0.695090i | ||||
\(479\) | −2.77236 | − | 8.53244i | −0.126672 | − | 0.389857i | 0.867530 | − | 0.497385i | \(-0.165706\pi\) |
−0.994202 | + | 0.107528i | \(0.965706\pi\) | |||||||
\(480\) | 8.57208 | + | 20.1623i | 0.391260 | + | 0.920280i | ||||
\(481\) | 7.50257 | − | 23.0905i | 0.342088 | − | 1.05284i | ||||
\(482\) | −21.2548 | + | 19.0889i | −0.968131 | + | 0.869474i | ||||
\(483\) | 0.0238899 | 0.000301082i | 0.00108703 | 1.36997e-5i | ||||||
\(484\) | 29.6857 | + | 51.7216i | 1.34935 | + | 2.35098i | ||||
\(485\) | −21.4867 | − | 9.51232i | −0.975660 | − | 0.431932i | ||||
\(486\) | 0.891101 | + | 22.0274i | 0.0404212 | + | 0.999183i | ||||
\(487\) | 27.1630 | − | 19.7351i | 1.23087 | − | 0.894282i | 0.233919 | − | 0.972256i | \(-0.424845\pi\) |
0.996955 | + | 0.0779738i | \(0.0248451\pi\) | |||||||
\(488\) | 27.9408 | + | 9.19695i | 1.26482 | + | 0.416327i | ||||
\(489\) | 29.5869 | + | 10.0273i | 1.33797 | + | 0.453451i | ||||
\(490\) | −17.0830 | − | 12.3899i | −0.771733 | − | 0.559719i | ||||
\(491\) | −8.80114 | + | 6.39440i | −0.397190 | + | 0.288575i | −0.768395 | − | 0.639975i | \(-0.778945\pi\) |
0.371206 | + | 0.928551i | \(0.378945\pi\) | |||||||
\(492\) | 1.71059 | − | 14.2014i | 0.0771195 | − | 0.640248i | ||||
\(493\) | 5.16206i | 0.232488i | ||||||||
\(494\) | 2.51371 | + | 5.66533i | 0.113097 | + | 0.254895i | ||||
\(495\) | 42.5082 | + | 5.46311i | 1.91060 | + | 0.245548i | ||||
\(496\) | 36.1671 | − | 3.61470i | 1.62395 | − | 0.162305i | ||||
\(497\) | 0.581373 | + | 1.78928i | 0.0260782 | + | 0.0802603i | ||||
\(498\) | −1.20764 | − | 2.81698i | −0.0541156 | − | 0.126232i | ||||
\(499\) | − | 36.8000i | − | 1.64739i | −0.567031 | − | 0.823696i | \(-0.691908\pi\) | ||
0.567031 | − | 0.823696i | \(-0.308092\pi\) | |||||||
\(500\) | 9.01794 | − | 20.4616i | 0.403294 | − | 0.915070i | ||||
\(501\) | −5.05246 | − | 16.2436i | −0.225727 | − | 0.725710i | ||||
\(502\) | −0.177698 | + | 0.0184475i | −0.00793104 | + | 0.000823351i | ||||
\(503\) | −30.1117 | + | 9.78388i | −1.34261 | + | 0.436242i | −0.890201 | − | 0.455567i | \(-0.849437\pi\) |
−0.452413 | + | 0.891809i | \(0.649437\pi\) | |||||||
\(504\) | −0.140777 | + | 4.84734i | −0.00627069 | + | 0.215918i | ||||
\(505\) | −14.8179 | + | 16.5268i | −0.659388 | + | 0.735433i | ||||
\(506\) | 0.199335 | − | 0.0884449i | 0.00886152 | − | 0.00393186i | ||||
\(507\) | 7.22531 | − | 2.24738i | 0.320887 | − | 0.0998098i | ||||
\(508\) | −1.24373 | − | 0.557554i | −0.0551816 | − | 0.0247374i | ||||
\(509\) | 10.2980 | + | 14.1740i | 0.456452 | + | 0.628252i | 0.973768 | − | 0.227542i | \(-0.0730689\pi\) |
−0.517316 | + | 0.855794i | \(0.673069\pi\) | |||||||
\(510\) | −22.4026 | − | 7.57176i | −0.992004 | − | 0.335283i | ||||
\(511\) | −2.84998 | + | 3.92267i | −0.126076 | + | 0.173529i | ||||
\(512\) | −13.5095 | + | 18.1520i | −0.597041 | + | 0.802211i | ||||
\(513\) | 7.74579 | + | 0.292982i | 0.341985 | + | 0.0129355i | ||||
\(514\) | −33.2076 | + | 3.44741i | −1.46473 | + | 0.152059i | ||||
\(515\) | −5.87593 | + | 13.2727i | −0.258924 | + | 0.584866i | ||||
\(516\) | 6.18583 | + | 5.74186i | 0.272316 | + | 0.252771i | ||||
\(517\) | 22.2337 | + | 7.22417i | 0.977837 | + | 0.317718i | ||||
\(518\) | −4.46291 | − | 4.96931i | −0.196089 | − | 0.218339i | ||||
\(519\) | 0.273393 | − | 21.6929i | 0.0120006 | − | 0.952213i | ||||
\(520\) | 3.83187 | + | 18.1816i | 0.168039 | + | 0.797315i | ||||
\(521\) | 17.5685 | − | 5.70837i | 0.769692 | − | 0.250088i | 0.102259 | − | 0.994758i | \(-0.467393\pi\) |
0.667433 | + | 0.744670i | \(0.267393\pi\) | |||||||
\(522\) | −0.396472 | − | 5.05712i | −0.0173531 | − | 0.221344i | ||||
\(523\) | −11.3725 | − | 8.26263i | −0.497286 | − | 0.361300i | 0.310693 | − | 0.950510i | \(-0.399439\pi\) |
−0.807979 | + | 0.589211i | \(0.799439\pi\) | |||||||
\(524\) | −3.37308 | + | 31.3233i | −0.147354 | + | 1.36836i | ||||
\(525\) | 3.70576 | − | 3.28080i | 0.161733 | − | 0.143186i | ||||
\(526\) | −10.0265 | − | 11.1641i | −0.437175 | − | 0.486780i | ||||
\(527\) | −23.0598 | + | 31.7391i | −1.00450 | + | 1.38258i | ||||
\(528\) | 17.2847 | + | 40.7490i | 0.752220 | + | 1.77337i | ||||
\(529\) | 7.10721 | + | 21.8737i | 0.309009 | + | 0.951032i | ||||
\(530\) | −5.67497 | + | 17.5152i | −0.246505 | + | 0.760812i | ||||
\(531\) | 5.27225 | + | 17.7353i | 0.228796 | + | 0.769645i | ||||
\(532\) | 1.69528 | + | 0.182558i | 0.0734996 | + | 0.00791489i | ||||
\(533\) | 3.74878 | − | 11.5375i | 0.162378 | − | 0.499747i | ||||
\(534\) | −36.2527 | + | 3.30232i | −1.56881 | + | 0.142905i | ||||
\(535\) | −19.5886 | + | 21.8477i | −0.846889 | + | 0.944558i | ||||
\(536\) | 0.108556 | − | 28.3475i | 0.00468890 | − | 1.22442i | ||||
\(537\) | 10.5846 | − | 14.1889i | 0.456759 | − | 0.612298i | ||||
\(538\) | 26.7456 | + | 5.72065i | 1.15309 | + | 0.246635i | ||||
\(539\) | −34.4927 | − | 25.0604i | −1.48571 | − | 1.07943i | ||||
\(540\) | 22.5287 | + | 5.69719i | 0.969481 | + | 0.245168i | ||||
\(541\) | 12.5133 | − | 9.09146i | 0.537989 | − | 0.390872i | −0.285348 | − | 0.958424i | \(-0.592109\pi\) |
0.823338 | + | 0.567552i | \(0.192109\pi\) | |||||||
\(542\) | −13.0879 | + | 5.80710i | −0.562173 | + | 0.249436i | ||||
\(543\) | −37.4649 | + | 11.6532i | −1.60777 | + | 0.500087i | ||||
\(544\) | −4.92528 | − | 23.9213i | −0.211169 | − | 1.02562i | ||||
\(545\) | 15.5024 | + | 1.59637i | 0.664050 | + | 0.0683809i | ||||
\(546\) | −0.910841 | + | 4.01064i | −0.0389804 | + | 0.171640i | ||||
\(547\) | 11.2529 | + | 34.6330i | 0.481140 | + | 1.48080i | 0.837494 | + | 0.546447i | \(0.184020\pi\) |
−0.356353 | + | 0.934351i | \(0.615980\pi\) | |||||||
\(548\) | 1.81061 | − | 2.00060i | 0.0773456 | − | 0.0854612i | ||||
\(549\) | 25.6954 | − | 17.6969i | 1.09665 | − | 0.755284i | ||||
\(550\) | 18.2536 | − | 41.3242i | 0.778334 | − | 1.76207i | ||||
\(551\) | −1.78358 | −0.0759829 | ||||||||
\(552\) | 0.113041 | − | 0.0346863i | 0.00481133 | − | 0.00147635i | ||||
\(553\) | −3.31781 | + | 1.07802i | −0.141088 | + | 0.0458421i | ||||
\(554\) | −1.18713 | + | 2.05012i | −0.0504363 | + | 0.0871012i | ||||
\(555\) | −27.8846 | + | 15.7113i | −1.18364 | + | 0.666907i | ||||
\(556\) | −10.6119 | + | 23.6720i | −0.450047 | + | 1.00392i | ||||
\(557\) | 20.0422 | 0.849217 | 0.424609 | − | 0.905377i | \(-0.360412\pi\) | ||||
0.424609 | + | 0.905377i | \(0.360412\pi\) | |||||||
\(558\) | 20.1533 | − | 32.8650i | 0.853157 | − | 1.39129i | ||||
\(559\) | 4.20735 | + | 5.79093i | 0.177952 | + | 0.244930i | ||||
\(560\) | 4.85675 | + | 1.59418i | 0.205235 | + | 0.0673663i | ||||
\(561\) | −45.2481 | − | 15.3350i | −1.91038 | − | 0.647446i | ||||
\(562\) | 9.72955 | + | 2.08106i | 0.410416 | + | 0.0877844i | ||||
\(563\) | −24.7307 | − | 34.0389i | −1.04227 | − | 1.43457i | −0.895320 | − | 0.445424i | \(-0.853053\pi\) |
−0.146954 | − | 0.989143i | \(-0.546947\pi\) | |||||||
\(564\) | 11.5004 | + | 5.33057i | 0.484253 | + | 0.224457i | ||||
\(565\) | −5.95192 | − | 0.612902i | −0.250399 | − | 0.0257850i | ||||
\(566\) | 0.0604308 | − | 0.282531i | 0.00254010 | − | 0.0118756i | ||||
\(567\) | 4.00359 | + | 3.22913i | 0.168135 | + | 0.135611i | ||||
\(568\) | 5.44400 | + | 7.55369i | 0.228425 | + | 0.316946i | ||||
\(569\) | −15.1642 | − | 4.92713i | −0.635715 | − | 0.206556i | −0.0266098 | − | 0.999646i | \(-0.508471\pi\) |
−0.609105 | + | 0.793090i | \(0.708471\pi\) | |||||||
\(570\) | 2.61617 | − | 7.74046i | 0.109579 | − | 0.324212i | ||||
\(571\) | −16.0674 | + | 5.22061i | −0.672399 | + | 0.218476i | −0.625265 | − | 0.780413i | \(-0.715009\pi\) |
−0.0471346 | + | 0.998889i | \(0.515009\pi\) | |||||||
\(572\) | 7.71121 | + | 36.7393i | 0.322422 | + | 1.53615i | ||||
\(573\) | 19.4143 | + | 6.57969i | 0.811042 | + | 0.274871i | ||||
\(574\) | −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 | \(0.137659\pi\) | |||||||
\(578\) | 2.00742 | + | 1.16241i | 0.0834979 | + | 0.0483497i | ||||
\(579\) | −1.14090 | + | 0.807142i | −0.0474141 | + | 0.0335437i | ||||
\(580\) | −5.22968 | − | 1.11405i | −0.217151 | − | 0.0462583i | ||||
\(581\) | −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 | ||||
\(584\) | −7.50268 | + | 22.7935i | −0.310463 | + | 0.943202i | ||||
\(585\) | 17.8143 | + | 8.42971i | 0.736531 | + | 0.348526i | ||||
\(586\) | −18.1592 | + | 1.88518i | −0.750151 | + | 0.0778760i | ||||
\(587\) | 20.7312 | + | 28.5341i | 0.855669 | + | 1.17773i | 0.982585 | + | 0.185814i | \(0.0594923\pi\) |
−0.126916 | + | 0.991914i | \(0.540508\pi\) | |||||||
\(588\) | −16.9431 | − | 15.7270i | −0.698721 | − | 0.648573i | ||||
\(589\) | −10.9664 | − | 7.96755i | −0.451862 | − | 0.328297i | ||||
\(590\) | 19.5032 | − | 0.0161774i | 0.802932 | − | 0.000666011i | ||||
\(591\) | 19.0811 | − | 25.5787i | 0.784892 | − | 1.05217i | ||||
\(592\) | −28.5425 | − | 16.6739i | −1.17309 | − | 0.685293i | ||||
\(593\) | −12.8806 | −0.528943 | −0.264471 | − | 0.964394i | \(-0.585197\pi\) | ||||
−0.264471 | + | 0.964394i | \(0.585197\pi\) | |||||||
\(594\) | 45.5060 | + | 11.5480i | 1.86713 | + | 0.473820i | ||||
\(595\) | −4.77235 | + | 2.76873i | −0.195647 | + | 0.113507i | ||||
\(596\) | 6.25873 | + | 29.8191i | 0.256367 | + | 1.22144i | ||||
\(597\) | 15.6464 | − | 11.0692i | 0.640365 | − | 0.453034i | ||||
\(598\) | 0.0997457 | − | 0.0103550i | 0.00407891 | − | 0.000423447i | ||||
\(599\) | 36.9742 | 1.51073 | 0.755363 | − | 0.655307i | \(-0.227461\pi\) | ||||
0.755363 | + | 0.655307i | \(0.227461\pi\) | |||||||
\(600\) | 12.5057 | − | 21.0620i | 0.510545 | − | 0.859851i | ||||
\(601\) | 27.0515 | 1.10345 | 0.551727 | − | 0.834025i | \(-0.313969\pi\) | ||||
0.551727 | + | 0.834025i | \(0.313969\pi\) | |||||||
\(602\) | 1.95866 | − | 0.203336i | 0.0798290 | − | 0.00828735i | ||||
\(603\) | −23.8718 | − | 18.2805i | −0.972135 | − | 0.744440i | ||||
\(604\) | 3.24567 | + | 15.4637i | 0.132065 | + | 0.629210i | ||||
\(605\) | 26.9905 | − | 60.9669i | 1.09732 | − | 2.47866i | ||||
\(606\) | −18.2940 | + | 16.0179i | −0.743145 | + | 0.650684i | ||||
\(607\) | 14.4568 | 0.586784 | 0.293392 | − | 0.955992i | \(-0.405216\pi\) | ||||
0.293392 | + | 0.955992i | \(0.405216\pi\) | |||||||
\(608\) | 8.26521 | − | 1.70176i | 0.335198 | − | 0.0690156i | ||||
\(609\) | −0.948650 | − | 0.707670i | −0.0384412 | − | 0.0286762i | ||||
\(610\) | −10.1887 | − | 31.2695i | −0.412530 | − | 1.26606i | ||||
\(611\) | 8.69717 | + | 6.31886i | 0.351850 | + | 0.255634i | ||||
\(612\) | −23.3635 | − | 11.1891i | −0.944414 | − | 0.452292i | ||||
\(613\) | −22.5580 | − | 31.0485i | −0.911111 | − | 1.25404i | −0.966786 | − | 0.255587i | \(-0.917731\pi\) |
0.0556752 | − | 0.998449i | \(-0.482269\pi\) | |||||||
\(614\) | −23.7506 | + | 2.46564i | −0.958495 | + | 0.0995051i | ||||
\(615\) | −13.9330 | + | 7.85040i | −0.561833 | + | 0.316559i | ||||
\(616\) | 9.80960 | + | 3.22891i | 0.395240 | + | 0.130097i | ||||
\(617\) | −3.55803 | + | 10.9505i | −0.143241 | + | 0.440851i | −0.996781 | − | 0.0801774i | \(-0.974451\pi\) |
0.853540 | + | 0.521028i | \(0.174451\pi\) | |||||||
\(618\) | −8.14065 | + | 13.6587i | −0.327465 | + | 0.549433i | ||||
\(619\) | −15.0405 | − | 4.88696i | −0.604529 | − | 0.196423i | −0.00926970 | − | 0.999957i | \(-0.502951\pi\) |
−0.595259 | + | 0.803534i | \(0.702951\pi\) | |||||||
\(620\) | −27.1783 | − | 30.2117i | −1.09151 | − | 1.21333i | ||||
\(621\) | 0.0432361 | − | 0.117727i | 0.00173501 | − | 0.00472422i | ||||
\(622\) | −14.5054 | − | 8.39942i | −0.581615 | − | 0.336786i | ||||
\(623\) | −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 | ||||
\(627\) | 5.29851 | − | 15.6339i | 0.211602 | − | 0.624360i | ||||
\(628\) | −3.02955 | − | 14.4340i | −0.120892 | − | 0.575981i | ||||
\(629\) | 33.9329 | − | 11.0255i | 1.35299 | − | 0.439614i | ||||
\(630\) | 4.46267 | − | 3.07899i | 0.177797 | − | 0.122670i | ||||
\(631\) | −44.0511 | − | 14.3131i | −1.75365 | − | 0.569794i | −0.757136 | − | 0.653258i | \(-0.773402\pi\) |
−0.996511 | + | 0.0834632i | \(0.973402\pi\) | |||||||
\(632\) | −14.0066 | + | 10.0946i | −0.557151 | + | 0.401543i | ||||
\(633\) | −40.2437 | − | 0.507187i | −1.59955 | − | 0.0201589i | ||||
\(634\) | 5.38803 | − | 25.1905i | 0.213986 | − | 1.00044i | ||||
\(635\) | 0.319968 | + | 1.48989i | 0.0126975 | + | 0.0591247i | ||||
\(636\) | −8.48172 | + | 18.2988i | −0.336322 | + | 0.725594i | ||||
\(637\) | −11.5240 | − | 15.8614i | −0.456598 | − | 0.628453i | ||||
\(638\) | −10.5639 | − | 2.25951i | −0.418227 | − | 0.0894550i | ||||
\(639\) | 9.87270 | + | 0.248889i | 0.390558 | + | 0.00984588i | ||||
\(640\) | 25.2976 | + | 0.172771i | 0.999977 | + | 0.00682939i | ||||
\(641\) | −10.1925 | − | 14.0288i | −0.402580 | − | 0.554103i | 0.558809 | − | 0.829296i | \(-0.311258\pi\) |
−0.961389 | + | 0.275193i | \(0.911258\pi\) | |||||||
\(642\) | −24.1839 | + | 21.1750i | −0.954463 | + | 0.835710i | ||||
\(643\) | 21.5302 | 0.849067 | 0.424534 | − | 0.905412i | \(-0.360438\pi\) | ||||
0.424534 | + | 0.905412i | \(0.360438\pi\) | |||||||
\(644\) | 0.0112853 | − | 0.0251740i | 0.000444703 | − | 0.000991996i | ||||
\(645\) | 1.08480 | − | 9.37364i | 0.0427139 | − | 0.369087i | ||||
\(646\) | −4.56420 | + | 7.88217i | −0.179576 | + | 0.310120i | ||||
\(647\) | −46.1953 | + | 15.0098i | −1.81613 | + | 0.590095i | −0.816202 | + | 0.577766i | \(0.803925\pi\) |
−0.999924 | + | 0.0123293i | \(0.996075\pi\) | |||||||
\(648\) | 23.7479 | + | 9.16718i | 0.932906 | + | 0.360121i | ||||
\(649\) | 39.4030 | 1.54670 | ||||||||
\(650\) | 13.8553 | − | 15.4790i | 0.543448 | − | 0.607135i | ||||
\(651\) | −2.67152 | − | 8.58892i | −0.104705 | − | 0.336626i | ||||
\(652\) | 24.2058 | − | 26.7456i | 0.947970 | − | 1.04744i | ||||
\(653\) | 5.26384 | + | 16.2004i | 0.205990 | + | 0.633972i | 0.999671 | + | 0.0256382i | \(0.00816180\pi\) |
−0.793681 | + | 0.608334i | \(0.791838\pi\) | |||||||
\(654\) | 16.6479 | + | 3.78084i | 0.650985 | + | 0.147843i | ||||
\(655\) | 30.4668 | − | 17.6757i | 1.19044 | − | 0.690646i | ||||
\(656\) | −14.2617 | − | 8.33137i | −0.556826 | − | 0.325285i | ||||
\(657\) | 14.4367 | + | 20.9617i | 0.563231 | + | 0.817795i | ||||
\(658\) | 2.70329 | − | 1.19945i | 0.105385 | − | 0.0467595i | ||||
\(659\) | 2.94376 | − | 2.13876i | 0.114672 | − | 0.0833144i | −0.528971 | − | 0.848640i | \(-0.677422\pi\) |
0.643643 | + | 0.765325i | \(0.277422\pi\) | |||||||
\(660\) | 25.3011 | − | 42.5313i | 0.984844 | − | 1.65553i | ||||
\(661\) | −1.35816 | − | 0.986760i | −0.0528262 | − | 0.0383805i | 0.561059 | − | 0.827776i | \(-0.310394\pi\) |
−0.613885 | + | 0.789395i | \(0.710394\pi\) | |||||||
\(662\) | 19.6912 | + | 4.21178i | 0.765321 | + | 0.163695i | ||||
\(663\) | −17.6098 | − | 13.1365i | −0.683907 | − | 0.510178i | ||||
\(664\) | −3.53904 | − | 0.0135527i | −0.137341 | − | 0.000525946i | ||||
\(665\) | −0.956643 | − | 1.64892i | −0.0370970 | − | 0.0639425i | ||||
\(666\) | −32.3962 | + | 13.4075i | −1.25533 | + | 0.519531i | ||||
\(667\) | −0.00891760 | + | 0.0274455i | −0.000345291 | + | 0.00106270i | ||||
\(668\) | −19.5300 | − | 2.10310i | −0.755637 | − | 0.0813716i | ||||
\(669\) | −0.108303 | + | 8.59349i | −0.00418722 | + | 0.332243i | ||||
\(670\) | −25.6253 | + | 18.6503i | −0.989990 | + | 0.720526i | ||||
\(671\) | −20.5323 | − | 63.1919i | −0.792640 | − | 2.43950i | ||||
\(672\) | 5.07131 | + | 2.37425i | 0.195630 | + | 0.0915888i | ||||
\(673\) | −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 | ||||
\(675\) | −9.76416 | − | 24.0762i | −0.375823 | − | 0.926692i | ||||
\(676\) | 0.935482 | − | 8.68712i | 0.0359801 | − | 0.334120i | ||||
\(677\) | −32.2423 | − | 23.4254i | −1.23917 | − | 0.900312i | −0.241630 | − | 0.970368i | \(-0.577682\pi\) |
−0.997543 | + | 0.0700565i | \(0.977682\pi\) | |||||||
\(678\) | −6.39172 | − | 1.45160i | −0.245473 | − | 0.0557483i | ||||
\(679\) | −5.71182 | + | 1.85588i | −0.219199 | + | 0.0712222i | ||||
\(680\) | −18.3061 | + | 20.2607i | −0.702008 | + | 0.776962i | ||||
\(681\) | −6.87199 | − | 0.0866069i | −0.263335 | − | 0.00331878i | ||||
\(682\) | −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 | \(0.183459\pi\) | |||||||
\(684\) | 3.86601 | − | 8.07247i | 0.147821 | − | 0.308659i | ||||
\(685\) | −3.00090 | − | 0.309019i | −0.114658 | − | 0.0118070i | ||||
\(686\) | −10.9922 | + | 1.14114i | −0.419683 | + | 0.0435689i | ||||
\(687\) | 17.8163 | − | 23.8832i | 0.679733 | − | 0.911200i | ||||
\(688\) | 8.92323 | − | 3.91841i | 0.340195 | − | 0.149388i | ||||
\(689\) | −10.0542 | + | 13.8385i | −0.383036 | + | 0.527204i | ||||
\(690\) | −0.106029 | − | 0.0789584i | −0.00403646 | − | 0.00300590i | ||||
\(691\) | −8.48987 | − | 11.6853i | −0.322970 | − | 0.444530i | 0.616401 | − | 0.787432i | \(-0.288590\pi\) |
−0.939371 | + | 0.342902i | \(0.888590\pi\) | |||||||
\(692\) | −22.8590 | − | 10.2475i | −0.868967 | − | 0.389550i | ||||
\(693\) | 9.02126 | − | 6.21311i | 0.342689 | − | 0.236016i | ||||
\(694\) | 9.73695 | − | 4.32028i | 0.369610 | − | 0.163996i | ||||
\(695\) | 28.3572 | − | 6.08996i | 1.07565 | − | 0.231005i | ||||
\(696\) | −5.54020 | − | 1.90132i | −0.210001 | − | 0.0720692i | ||||
\(697\) | 16.9551 | − | 5.50905i | 0.642221 | − | 0.208670i | ||||
\(698\) | 42.1824 | − | 4.37911i | 1.59663 | − | 0.165752i | ||||
\(699\) | −19.3910 | + | 6.03143i | −0.733434 | + | 0.228130i | ||||
\(700\) | −1.77506 | − | 5.43240i | −0.0670910 | − | 0.205325i | ||||
\(701\) | − | 43.4844i | − | 1.64238i | −0.570654 | − | 0.821191i | \(-0.693310\pi\) | ||
0.570654 | − | 0.821191i | \(-0.306690\pi\) | |||||||
\(702\) | 18.2607 | + | 11.5169i | 0.689206 | + | 0.434676i | ||||
\(703\) | 3.80948 | + | 11.7244i | 0.143677 | + | 0.442193i | ||||
\(704\) | 51.1094 | + | 0.391450i | 1.92626 | + | 0.0147533i | ||||
\(705\) | −2.80084 | − | 13.8923i | −0.105486 | − | 0.523216i | ||||
\(706\) | 10.6104 | + | 23.9135i | 0.399328 | + | 0.899996i | ||||
\(707\) | 5.67320i | 0.213363i | ||||||||
\(708\) | 21.2113 | + | 2.55496i | 0.797170 | + | 0.0960211i | ||||
\(709\) | −9.97446 | + | 7.24687i | −0.374599 | + | 0.272162i | −0.759115 | − | 0.650956i | \(-0.774368\pi\) |
0.384517 | + | 0.923118i | \(0.374368\pi\) | |||||||
\(710\) | 3.20867 | − | 9.90321i | 0.120419 | − | 0.371661i | ||||
\(711\) | −0.461506 | + | 18.3066i | −0.0173078 | + | 0.686552i | ||||
\(712\) | −13.1423 | + | 39.9269i | −0.492529 | + | 1.49633i | ||||
\(713\) | −0.177434 | + | 0.128913i | −0.00664496 | + | 0.00482785i | ||||
\(714\) | −5.55502 | + | 2.38144i | −0.207891 | + | 0.0891230i | ||||
\(715\) | 28.0182 | − | 31.2495i | 1.04782 | − | 1.16866i | ||||
\(716\) | −10.1750 | − | 17.7280i | −0.380258 | − | 0.662527i | ||||
\(717\) | −0.468066 | + | 37.1396i | −0.0174803 | + | 1.38700i | ||||
\(718\) | 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 | \(0.778513\pi\) | |||||||
\(720\) | 16.3778 | − | 21.2548i | 0.610366 | − | 0.792119i | ||||
\(721\) | 1.14641 | + | 3.52829i | 0.0426946 | + | 0.131401i | ||||
\(722\) | 20.5296 | + | 11.8877i | 0.764031 | + | 0.442415i | ||||
\(723\) | 33.1376 | + | 11.2307i | 1.23240 | + | 0.417674i | ||||
\(724\) | −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 | 0.529325 | − | 0.848419i | \(-0.322445\pi\) |
−0.643324 | + | 0.765594i | \(0.722445\pi\) | |||||||
\(728\) | 3.83132 | + | 2.80609i | 0.141998 | + | 0.104001i | ||||
\(729\) | 22.9799 | − | 14.1748i | 0.851107 | − | 0.524992i | ||||
\(730\) | 25.5090 | − | 8.31177i | 0.944129 | − | 0.307632i | ||||
\(731\) | −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 | \(0.766136\pi\) | |||||||
\(734\) | −1.87262 | + | 8.75503i | −0.0691197 | + | 0.323154i | ||||
\(735\) | −2.97128 | + | 25.6745i | −0.109597 | + | 0.947020i | ||||
\(736\) | 0.0151381 | − | 0.135693i | 0.000557999 | − | 0.00500171i | ||||
\(737\) | −51.8029 | + | 37.6370i | −1.90818 | + | 1.38638i | ||||
\(738\) | −16.1873 | + | 6.69929i | −0.595862 | + | 0.246604i | ||||
\(739\) | −1.81401 | + | 2.49677i | −0.0667293 | + | 0.0918451i | −0.841077 | − | 0.540915i | \(-0.818078\pi\) |
0.774348 | + | 0.632760i | \(0.218078\pi\) | |||||||
\(740\) | 3.84669 | + | 36.7569i | 0.141407 | + | 1.35121i | ||||
\(741\) | 4.53886 | − | 6.08446i | 0.166739 | − | 0.223518i | ||||
\(742\) | 1.90850 | + | 4.30134i | 0.0700633 | + | 0.157907i | ||||
\(743\) | − | 22.1453i | − | 0.812431i | −0.913777 | − | 0.406216i | \(-0.866848\pi\) | ||
0.913777 | − | 0.406216i | \(-0.133152\pi\) | |||||||
\(744\) | −25.5706 | − | 36.4393i | −0.937465 | − | 1.33593i | ||||
\(745\) | 22.7407 | − | 25.3633i | 0.833156 | − | 0.929241i | ||||
\(746\) | −9.97854 | + | 17.2325i | −0.365340 | + | 0.630926i | ||||
\(747\) | −2.28223 | + | 2.98028i | −0.0835025 | + | 0.109043i | ||||
\(748\) | −37.0185 | + | 40.9027i | −1.35353 | + | 1.49555i | ||||
\(749\) | 7.49972i | 0.274034i | ||||||||
\(750\) | −27.2570 | + | 2.65662i | −0.995284 | + | 0.0970061i | ||||
\(751\) | 22.3396i | 0.815184i | 0.913164 | + | 0.407592i | \(0.133631\pi\) | ||||
−0.913164 | + | 0.407592i | \(0.866369\pi\) | |||||||
\(752\) | 10.9270 | − | 9.73816i | 0.398467 | − | 0.355114i | ||||
\(753\) | 0.126369 | + | 0.178623i | 0.00460514 | + | 0.00650938i | ||||
\(754\) | −4.29894 | − | 2.48931i | −0.156558 | − | 0.0906555i | ||||
\(755\) | 11.7930 | − | 13.1530i | 0.429190 | − | 0.478687i | ||||
\(756\) | 5.25918 | − | 2.75967i | 0.191274 | − | 0.100368i | ||||
\(757\) | 10.8498i | 0.394342i | 0.980369 | + | 0.197171i | \(0.0631754\pi\) | ||||
−0.980369 | + | 0.197171i | \(0.936825\pi\) | |||||||
\(758\) | −6.82826 | + | 3.02970i | −0.248013 | + | 0.110044i | ||||
\(759\) | −0.214082 | − | 0.159700i | −0.00777070 | − | 0.00579675i | ||||
\(760\) | −7.00040 | − | 6.32507i | −0.253931 | − | 0.229434i | ||||
\(761\) | 1.55633 | − | 2.14210i | 0.0564168 | − | 0.0776511i | −0.779876 | − | 0.625934i | \(-0.784718\pi\) |
0.836293 | + | 0.548282i | \(0.184718\pi\) | |||||||
\(762\) | 0.151434 | + | 1.66243i | 0.00548586 | + | 0.0602234i | ||||
\(763\) | 3.22242 | − | 2.34123i | 0.116659 | − | 0.0847581i | ||||
\(764\) | 15.8833 | − | 17.5498i | 0.574636 | − | 0.634931i | ||||
\(765\) | 5.36568 | + | 28.4609i | 0.193996 | + | 1.02901i | ||||
\(766\) | 24.4511 | + | 5.22987i | 0.883454 | + | 0.188963i | ||||
\(767\) | 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 | \(0.987067\pi\) | |||||||
\(770\) | −3.57712 | − | 10.9782i | −0.128910 | − | 0.395628i | ||||
\(771\) | 23.6154 | + | 33.3805i | 0.850489 | + | 1.20217i | ||||
\(772\) | 0.331485 | + | 1.57933i | 0.0119304 | + | 0.0568414i | ||||
\(773\) | 2.64725 | + | 1.92334i | 0.0952150 | + | 0.0691777i | 0.634374 | − | 0.773026i | \(-0.281258\pi\) |
−0.539159 | + | 0.842204i | \(0.681258\pi\) | |||||||
\(774\) | 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 | ||||
\(777\) | −2.62569 | + | 7.74746i | −0.0941962 | + | 0.277938i | ||||
\(778\) | 4.54964 | − | 7.85702i | 0.163112 | − | 0.281688i | ||||
\(779\) | 1.90347 | + | 5.85827i | 0.0681988 | + | 0.209894i | ||||
\(780\) | 17.1090 | − | 15.0054i | 0.612600 | − | 0.537280i | ||||
\(781\) | 6.49919 | − | 20.0024i | 0.232559 | − | 0.715744i | ||||
\(782\) | 0.0984699 | + | 0.109643i | 0.00352128 | + | 0.00392083i | ||||
\(783\) | −5.16060 | + | 3.45914i | −0.184425 | + | 0.123619i | ||||
\(784\) | −24.4409 | + | 10.7326i | −0.872888 | + | 0.383307i | ||||
\(785\) | −11.0077 | + | 12.2772i | −0.392882 | + | 0.438192i | ||||
\(786\) | 35.4634 | − | 15.2032i | 1.26494 | − | 0.542279i | ||||
\(787\) | 26.3021 | − | 19.1096i | 0.937568 | − | 0.681183i | −0.0102663 | − | 0.999947i | \(-0.503268\pi\) |
0.947834 | + | 0.318765i | \(0.103268\pi\) | |||||||
\(788\) | −18.3427 | − | 31.9587i | −0.653432 | − | 1.13848i | ||||
\(789\) | −5.89894 | + | 17.4056i | −0.210008 | + | 0.619656i | ||||
\(790\) | 18.3632 | + | 5.94973i | 0.653333 | + | 0.211682i | ||||
\(791\) | −1.23720 | + | 0.898880i | −0.0439898 | + | 0.0319605i | ||||
\(792\) | 33.1244 | − | 42.9144i | 1.17702 | − | 1.52490i | ||||
\(793\) | − | 30.5541i | − | 1.08501i | ||||||
\(794\) | −32.2965 | + | 14.3299i | −1.14616 | + | 0.508551i | ||||
\(795\) | 22.1048 | − | 4.45654i | 0.783975 | − | 0.158057i | ||||
\(796\) | −4.54603 | − | 21.6591i | −0.161130 | − | 0.767688i | ||||
\(797\) | −0.155859 | − | 0.479683i | −0.00552079 | − | 0.0169913i | 0.948258 | − | 0.317500i | \(-0.102843\pi\) |
−0.953779 | + | 0.300509i | \(0.902843\pi\) | |||||||
\(798\) | −0.822825 | − | 1.91935i | −0.0291277 | − | 0.0679442i | ||||
\(799\) | 15.7982i | 0.558900i | ||||||||
\(800\) | −16.5754 | − | 22.9185i | −0.586028 | − | 0.810291i | ||||
\(801\) | 25.2885 | + | 36.7183i | 0.893526 | + | 1.29738i | ||||
\(802\) | 1.44301 | + | 13.9000i | 0.0509545 | + | 0.490826i | ||||
\(803\) | 51.5506 | − | 16.7498i | 1.81918 | − | 0.591088i | ||||
\(804\) | −30.3269 | + | 16.9017i | −1.06955 | + | 0.596077i | ||||
\(805\) | −0.0301566 | + | 0.00647639i | −0.00106288 | + | 0.000228263i | ||||
\(806\) | −15.3120 | − | 34.5097i | −0.539341 | − | 1.21555i | ||||
\(807\) | −9.94900 | − | 31.9859i | −0.350221 | − | 1.12596i | ||||
\(808\) | 8.57400 | + | 26.7360i | 0.301632 | + | 0.940570i | ||||
\(809\) | 13.8669 | + | 19.0861i | 0.487534 | + | 0.671033i | 0.979931 | − | 0.199338i | \(-0.0638791\pi\) |
−0.492397 | + | 0.870371i | \(0.663879\pi\) | |||||||
\(810\) | −7.44253 | − | 27.4701i | −0.261504 | − | 0.965202i | ||||
\(811\) | −2.42476 | + | 3.33739i | −0.0851447 | + | 0.117192i | −0.849465 | − | 0.527646i | \(-0.823075\pi\) |
0.764320 | + | 0.644837i | \(0.223075\pi\) | |||||||
\(812\) | −1.18527 | + | 0.680285i | −0.0415947 | + | 0.0238733i | ||||
\(813\) | 14.0562 | + | 10.4856i | 0.492971 | + | 0.367745i | ||||
\(814\) | 7.71001 | + | 74.2677i | 0.270236 | + | 2.60308i | ||||
\(815\) | −40.1184 | − | 4.13121i | −1.40529 | − | 0.144710i | ||||
\(816\) | −22.5799 | + | 19.6183i | −0.790456 | + | 0.686779i | ||||
\(817\) | −3.45663 | − | 1.12313i | −0.120932 | − | 0.0392932i | ||||
\(818\) | −5.43279 | + | 4.87917i | −0.189953 | + | 0.170596i | ||||
\(819\) | 4.82827 | − | 1.43532i | 0.168713 | − | 0.0501542i | ||||
\(820\) | 1.92206 | + | 18.3661i | 0.0671212 | + | 0.641374i | ||||
\(821\) | −21.5974 | + | 7.01741i | −0.753754 | + | 0.244909i | −0.660596 | − | 0.750742i | \(-0.729696\pi\) |
−0.0931580 | + | 0.995651i | \(0.529696\pi\) | |||||||
\(822\) | −3.22264 | − | 0.731882i | −0.112403 | − | 0.0255273i | ||||
\(823\) | −45.4607 | − | 33.0291i | −1.58466 | − | 1.15132i | −0.911097 | − | 0.412192i | \(-0.864763\pi\) |
−0.673562 | − | 0.739131i | \(-0.735237\pi\) | |||||||
\(824\) | 10.7350 | + | 14.8951i | 0.373973 | + | 0.518897i | ||||
\(825\) | −55.0727 | + | 5.32159i | −1.91738 | + | 0.185274i | ||||
\(826\) | 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 | \(0.151501\pi\) | |||||||
\(828\) | −0.104889 | − | 0.0998510i | −0.00364515 | − | 0.00347006i | ||||
\(829\) | −0.125675 | − | 0.386787i | −0.00436486 | − | 0.0134337i | 0.948850 | − | 0.315726i | \(-0.102248\pi\) |
−0.953215 | + | 0.302292i | \(0.902248\pi\) | |||||||
\(830\) | 2.32840 | + | 3.19919i | 0.0808200 | + | 0.111045i | ||||
\(831\) | 2.90122 | + | 0.0365637i | 0.100642 | + | 0.00126838i | ||||
\(832\) | 22.2967 | + | 7.43390i | 0.772998 | + | 0.257724i | ||||
\(833\) | 8.90337 | − | 27.4018i | 0.308483 | − | 0.949415i | ||||
\(834\) | 31.6411 | − | 2.88224i | 1.09564 | − | 0.0998039i | ||||
\(835\) | 11.0207 | + | 18.9960i | 0.381388 | + | 0.657382i | ||||
\(836\) | −14.1326 | − | 12.7905i | −0.488785 | − | 0.442369i | ||||
\(837\) | −47.1827 | − | 1.78467i | −1.63087 | − | 0.0616872i | ||||
\(838\) | −0.779494 | + | 3.64435i | −0.0269272 | + | 0.125892i | ||||
\(839\) | 15.5736 | + | 11.3149i | 0.537661 | + | 0.390634i | 0.823216 | − | 0.567729i | \(-0.192178\pi\) |
−0.285554 | + | 0.958363i | \(0.592178\pi\) | |||||||
\(840\) | −1.21378 | − | 6.14173i | −0.0418793 | − | 0.211910i | ||||
\(841\) | −22.3050 | + | 16.2055i | −0.769137 | + | 0.558811i | ||||
\(842\) | −9.75099 | − | 21.9765i | −0.336041 | − | 0.757361i | ||||
\(843\) | −3.61926 | − | 11.6359i | −0.124654 | − | 0.400761i | ||||
\(844\) | −19.0107 | + | 42.4070i | −0.654374 | + | 1.45971i | ||||
\(845\) | −8.44959 | + | 4.90213i | −0.290675 | + | 0.168638i | ||||
\(846\) | −1.21338 | − | 15.4770i | −0.0417169 | − | 0.532111i | ||||
\(847\) | −5.26593 | − | 16.2069i | −0.180940 | − | 0.556875i | ||||
\(848\) | 15.4948 | + | 17.3865i | 0.532095 | + | 0.597054i | ||||
\(849\) | −0.337887 | + | 0.105097i | −0.0115963 | + | 0.00360694i | ||||
\(850\) | 30.3709 | + | 3.10200i | 1.04171 | + | 0.106398i | ||||
\(851\) | 0.199461 | 0.00683742 | ||||||||
\(852\) | 4.79562 | − | 10.3463i | 0.164295 | − | 0.354457i | ||||
\(853\) | −28.6030 | + | 9.29369i | −0.979349 | + | 0.318210i | −0.754584 | − | 0.656203i | \(-0.772161\pi\) |
−0.224765 | + | 0.974413i | \(0.572161\pi\) | |||||||
\(854\) | −7.27405 | − | 4.21206i | −0.248913 | − | 0.144134i | ||||
\(855\) | −9.83369 | + | 1.85393i | −0.336305 | + | 0.0634030i | ||||
\(856\) | 11.3345 | + | 35.3438i | 0.387404 | + | 1.20803i | ||||
\(857\) | −2.35394 | −0.0804090 | −0.0402045 | − | 0.999191i | \(-0.512801\pi\) | ||||
−0.0402045 | + | 0.999191i | \(0.512801\pi\) | |||||||
\(858\) | 34.5910 | − | 30.2873i | 1.18092 | − | 1.03399i | ||||
\(859\) | −11.1237 | − | 15.3105i | −0.379537 | − | 0.522388i | 0.575925 | − | 0.817503i | \(-0.304642\pi\) |
−0.955462 | + | 0.295115i | \(0.904642\pi\) | |||||||
\(860\) | −9.43377 | − | 5.45221i | −0.321689 | − | 0.185919i | ||||
\(861\) | −1.31197 | + | 3.87114i | −0.0447118 | + | 0.131928i | ||||
\(862\) | 1.40703 | − | 6.57825i | 0.0479236 | − | 0.224056i | ||||
\(863\) | 11.4396 | + | 15.7453i | 0.389410 | + | 0.535977i | 0.958047 | − | 0.286612i | \(-0.0925290\pi\) |
−0.568637 | + | 0.822589i | \(0.692529\pi\) | |||||||
\(864\) | 20.6141 | − | 20.9537i | 0.701306 | − | 0.712861i | ||||
\(865\) | 5.88080 | + | 27.3833i | 0.199953 | + | 0.931060i | ||||
\(866\) | −33.2257 | − | 7.10668i | −1.12905 | − | 0.241495i | ||||
\(867\) | 0.0358022 | − | 2.84080i | 0.00121591 | − | 0.0964786i | ||||
\(868\) | −10.3266 | − | 1.11203i | −0.350508 | − | 0.0377448i | ||||
\(869\) | 37.0899 | + | 12.0512i | 1.25819 | + | 0.408810i | ||||
\(870\) | 1.95021 | + | 6.25162i | 0.0661183 | + | 0.211950i | ||||
\(871\) | −28.0039 | + | 9.09900i | −0.948874 | + | 0.308308i | ||||
\(872\) | 11.6479 | − | 15.9036i | 0.394448 | − | 0.538562i | ||||
\(873\) | −0.794512 | + | 31.5160i | −0.0268901 | + | 1.06666i | ||||
\(874\) | −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 | \(0.381939\pi\) | |||||||
\(878\) | −15.4414 | + | 26.6666i | −0.521123 | + | 0.899956i | ||||
\(879\) | 12.9138 | + | 18.2538i | 0.435573 | + | 0.615684i | ||||
\(880\) | −33.4494 | − | 46.3308i | −1.12758 | − | 1.56181i | ||||
\(881\) | −31.1705 | − | 10.1279i | −1.05016 | − | 0.341218i | −0.267429 | − | 0.963577i | \(-0.586174\pi\) |
−0.782732 | + | 0.622359i | \(0.786174\pi\) | |||||||
\(882\) | −6.61777 | + | 27.5285i | −0.222832 | + | 0.926932i | ||||
\(883\) | −4.99442 | + | 15.3713i | −0.168076 | + | 0.517284i | −0.999250 | − | 0.0387283i | \(-0.987669\pi\) |
0.831174 | + | 0.556012i | \(0.187669\pi\) | |||||||
\(884\) | −22.0021 | + | 12.6281i | −0.740010 | + | 0.424730i | ||||
\(885\) | −11.7254 | − | 20.8104i | −0.394146 | − | 0.699535i | ||||
\(886\) | 0.632783 | + | 6.09536i | 0.0212588 | + | 0.204778i | ||||
\(887\) | 12.3391 | + | 16.9833i | 0.414305 | + | 0.570242i | 0.964262 | − | 0.264951i | \(-0.0853559\pi\) |
−0.549957 | + | 0.835193i | \(0.685356\pi\) | |||||||
\(888\) | −0.665207 | + | 40.4796i | −0.0223229 | + | 1.35841i | ||||
\(889\) | 0.315093 | + | 0.228929i | 0.0105679 | + | 0.00767802i | ||||
\(890\) | 44.6836 | − | 14.5596i | 1.49780 | − | 0.488037i | ||||
\(891\) | −14.9904 | − | 55.5114i | −0.502196 | − | 1.85970i | ||||
\(892\) | 9.05541 | + | 4.05946i | 0.303197 | + | 0.135921i | ||||
\(893\) | −5.45853 | −0.182663 | ||||||||
\(894\) | 28.0755 | − | 24.5824i | 0.938985 | − | 0.822158i | ||||
\(895\) | −9.25122 | + | 20.8969i | −0.309234 | + | 0.698507i | ||||
\(896\) | 4.84352 | − | 4.28338i | 0.161811 | − | 0.143098i | ||||
\(897\) | −0.0709337 | − | 0.100265i | −0.00236841 | − | 0.00334775i | ||||
\(898\) | −0.414047 | − | 3.98836i | −0.0138169 | − | 0.133093i | ||||
\(899\) | 10.8645 | 0.362350 | ||||||||
\(900\) | −29.9917 | − | 0.706299i | −0.999723 | − | 0.0235433i | ||||
\(901\) | −25.1373 | −0.837443 | ||||||||
\(902\) | 3.85243 | + | 37.1090i | 0.128272 | + | 1.23559i | ||||
\(903\) | −1.39289 | − | 1.96886i | −0.0463525 | − | 0.0655194i | ||||
\(904\) | −4.47205 | + | 6.10594i | −0.148738 | + | 0.203080i | ||||
\(905\) | 43.8131 | − | 25.4187i | 1.45640 | − | 0.844945i | ||||
\(906\) | 14.5595 | − | 12.7480i | 0.483707 | − | 0.423525i | ||||
\(907\) | −23.3192 | −0.774300 | −0.387150 | − | 0.922017i | \(-0.626540\pi\) | ||||
−0.387150 | + | 0.922017i | \(0.626540\pi\) | |||||||
\(908\) | −3.24625 | + | 7.24138i | −0.107730 | + | 0.240314i | ||||
\(909\) | 28.0819 | + | 9.91349i | 0.931417 | + | 0.328810i | ||||
\(910\) | −0.00440414 | − | 5.30956i | −0.000145996 | − | 0.176010i | ||||
\(911\) | 3.16834 | + | 2.30194i | 0.104972 | + | 0.0762665i | 0.639033 | − | 0.769179i | \(-0.279335\pi\) |
−0.534061 | + | 0.845446i | \(0.679335\pi\) | |||||||
\(912\) | −6.77845 | − | 7.80173i | −0.224457 | − | 0.258341i | ||||
\(913\) | 4.69879 | + | 6.46734i | 0.155507 | + | 0.214038i | ||||
\(914\) | −3.62669 | − | 34.9346i | −0.119960 | − | 1.15553i | ||||
\(915\) | −27.2645 | + | 29.6485i | −0.901336 | + | 0.980148i | ||||
\(916\) | −17.1268 | − | 29.8402i | −0.565886 | − | 0.985949i | ||||
\(917\) | 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 | −0.307191 | − | 0.951648i | \(-0.599389\pi\) |
−0.807887 | + | 0.589337i | \(0.799389\pi\) | |||||||
\(920\) | −0.132331 | + | 0.0760973i | −0.00436281 | + | 0.00250885i | ||||
\(921\) | 16.8901 | + | 23.8742i | 0.556548 | + | 0.786683i | ||||
\(922\) | 3.19645 | − | 5.52013i | 0.105270 | − | 0.181796i | ||||
\(923\) | 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 | ||||
\(927\) | 19.4680 | + | 0.490784i | 0.639414 | + | 0.0161195i | ||||
\(928\) | −4.55766 | + | 4.99728i | −0.149613 | + | 0.164044i | ||||
\(929\) | −2.39405 | + | 0.777873i | −0.0785462 | + | 0.0255212i | −0.348026 | − | 0.937485i | \(-0.613148\pi\) |
0.269480 | + | 0.963006i | \(0.413148\pi\) | |||||||
\(930\) | −15.9361 | + | 47.1502i | −0.522566 | + | 1.54612i | ||||
\(931\) | 9.46775 | + | 3.07626i | 0.310293 | + | 0.100820i | ||||
\(932\) | −2.51061 | + | 23.3141i | −0.0822376 | + | 0.763679i | ||||
\(933\) | −0.258703 | + | 20.5273i | −0.00846955 | + | 0.672033i | ||||
\(934\) | −44.5867 | − | 9.53669i | −1.45892 | − | 0.312050i | ||||
\(935\) | 61.3542 | + | 6.31798i | 2.00650 | + | 0.206620i | ||||
\(936\) | 20.5849 | − | 14.0613i | 0.672837 | − | 0.459607i | ||||
\(937\) | 14.7066 | + | 20.2419i | 0.480443 | + | 0.661274i | 0.978590 | − | 0.205819i | \(-0.0659859\pi\) |
−0.498147 | + | 0.867093i | \(0.665986\pi\) | |||||||
\(938\) | −1.69429 | + | 7.92125i | −0.0553204 | + | 0.258638i | ||||
\(939\) | 11.3457 | − | 33.4769i | 0.370252 | − | 1.09248i | ||||
\(940\) | −16.0051 | − | 3.40948i | −0.522030 | − | 0.111205i | ||||
\(941\) | 16.1214 | + | 22.1892i | 0.525544 | + | 0.723349i | 0.986443 | − | 0.164104i | \(-0.0524731\pi\) |
−0.460899 | + | 0.887452i | \(0.652473\pi\) | |||||||
\(942\) | −13.5900 | + | 11.8992i | −0.442787 | + | 0.387696i | ||||
\(943\) | 0.0996636 | 0.00324549 | ||||||||
\(944\) | 12.4438 | − | 21.3014i | 0.405011 | − | 0.693301i | ||||
\(945\) | −5.96594 | − | 2.91565i | −0.194072 | − | 0.0948461i | ||||
\(946\) | −19.0502 | − | 11.0311i | −0.619377 | − | 0.358652i | ||||
\(947\) | 9.50992 | − | 3.08996i | 0.309031 | − | 0.100410i | −0.150396 | − | 0.988626i | \(-0.548055\pi\) |
0.459427 | + | 0.888216i | \(0.348055\pi\) | |||||||
\(948\) | 19.1847 | + | 8.89237i | 0.623091 | + | 0.288811i | ||||
\(949\) | 24.9254 | 0.809114 | ||||||||
\(950\) | −1.07179 | + | 10.4936i | −0.0347735 | + | 0.340458i | ||||
\(951\) | −30.1261 | + | 9.37052i | −0.976906 | + | 0.303860i | ||||
\(952\) | −0.0267256 | + | 6.97891i | −0.000866181 | + | 0.226188i | ||||
\(953\) | 12.5807 | + | 38.7194i | 0.407528 | + | 1.25424i | 0.918766 | + | 0.394804i | \(0.129187\pi\) |
−0.511237 | + | 0.859440i | \(0.670813\pi\) | |||||||
\(954\) | 24.6262 | − | 1.93067i | 0.797303 | − | 0.0625076i | ||||
\(955\) | −26.3248 | − | 2.71081i | −0.851850 | − | 0.0877197i | ||||
\(956\) | 39.1360 | + | 17.5443i | 1.26575 | + | 0.567424i | ||||
\(957\) | 3.92960 | + | 12.6336i | 0.127026 | + | 0.408387i | ||||
\(958\) | 5.14574 | + | 11.5973i | 0.166251 | + | 0.374693i | ||||
\(959\) | −0.623784 | + | 0.453206i | −0.0201430 | + | 0.0146348i | ||||
\(960\) | −15.0023 | − | 27.1096i | −0.484196 | − | 0.874960i | ||||
\(961\) | 41.7211 | + | 30.3121i | 1.34584 | + | 0.977811i | ||||
\(962\) | −7.18160 | + | 33.5760i | −0.231544 | + | 1.08253i | ||||
\(963\) | 37.1230 | + | 13.1052i | 1.19627 | + | 0.422309i | ||||
\(964\) | 27.1107 | − | 29.9553i | 0.873175 | − | 0.964795i | ||||
\(965\) | 1.20443 | − | 1.34334i | 0.0387721 | − | 0.0432435i | ||||
\(966\) | −0.0336488 | + | 0.00306513i | −0.00108263 | + | 9.86189e-5i | ||||
\(967\) | −16.4112 | + | 50.5085i | −0.527749 | + | 1.62424i | 0.231067 | + | 0.972938i | \(0.425778\pi\) |
−0.758815 | + | 0.651306i | \(0.774222\pi\) | |||||||
\(968\) | −49.3104 | − | 68.4193i | −1.58489 | − | 2.19908i | ||||
\(969\) | 11.1544 | + | 0.140578i | 0.358331 | + | 0.00451601i | ||||
\(970\) | 31.6134 | + | 10.2428i | 1.01505 | + | 0.328878i | ||||
\(971\) | −0.281879 | − | 0.867533i | −0.00904592 | − | 0.0278405i | 0.946432 | − | 0.322904i | \(-0.104659\pi\) |
−0.955478 | + | 0.295064i | \(0.904659\pi\) | |||||||
\(972\) | −4.47013 | − | 30.8548i | −0.143380 | − | 0.989668i | ||||
\(973\) | 4.35721 | − | 5.99719i | 0.139686 | − | 0.192261i | ||||
\(974\) | −35.3271 | + | 31.7271i | −1.13195 | + | 1.01660i | ||||
\(975\) | −24.8418 | − | 5.49853i | −0.795575 | − | 0.176094i | ||||
\(976\) | −40.6461 | − | 8.85674i | −1.30105 | − | 0.283497i | ||||
\(977\) | −6.93215 | − | 5.03650i | −0.221779 | − | 0.161132i | 0.471348 | − | 0.881947i | \(-0.343768\pi\) |
−0.693127 | + | 0.720815i | \(0.743768\pi\) | |||||||
\(978\) | −43.0829 | − | 9.78438i | −1.37764 | − | 0.312870i | ||||
\(979\) | 90.3002 | − | 29.3403i | 2.88601 | − | 0.937720i | ||||
\(980\) | 25.8392 | + | 14.9337i | 0.825404 | + | 0.477039i | ||||
\(981\) | −5.95793 | − | 20.0418i | −0.190222 | − | 0.639886i | ||||
\(982\) | 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 | \(0.544323\pi\) | |||||||
\(984\) | −0.332381 | + | 20.2262i | −0.0105959 | + | 0.644789i | ||||
\(985\) | −16.6774 | + | 37.6713i | −0.531386 | + | 1.20031i | ||||
\(986\) | −0.753817 | − | 7.26124i | −0.0240064 | − | 0.231245i | ||||
\(987\) | −2.90329 | − | 2.16578i | −0.0924127 | − | 0.0689377i | ||||
\(988\) | −4.36322 | − | 7.60208i | −0.138813 | − | 0.241854i | ||||
\(989\) | −0.0345652 | + | 0.0475749i | −0.00109911 | + | 0.00151279i | ||||
\(990\) | −60.5921 | − | 1.47722i | −1.92574 | − | 0.0469492i | ||||
\(991\) | 23.2203 | + | 31.9600i | 0.737617 | + | 1.01524i | 0.998752 | + | 0.0499401i | \(0.0159030\pi\) |
−0.261136 | + | 0.965302i | \(0.584097\pi\) | |||||||
\(992\) | −50.3467 | + | 10.3661i | −1.59851 | + | 0.329124i | ||||
\(993\) | −7.32486 | − | 23.5493i | −0.232447 | − | 0.747316i | ||||
\(994\) | −1.07908 | − | 2.43200i | −0.0342264 | − | 0.0771385i | ||||
\(995\) | −16.5177 | + | 18.4227i | −0.523648 | + | 0.584038i | ||||
\(996\) | 2.11009 | + | 3.78616i | 0.0668608 | + | 0.119969i | ||||
\(997\) | −40.4282 | + | 13.1359i | −1.28038 | + | 0.416019i | −0.868712 | − | 0.495317i | \(-0.835052\pi\) |
−0.411663 | + | 0.911336i | \(0.635052\pi\) | |||||||
\(998\) | 5.37390 | + | 51.7648i | 0.170108 | + | 1.63859i | ||||
\(999\) | 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.59.3 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.54 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.25 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.32 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.32 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.25 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.54 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.3 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.3 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.25 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.32 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.54 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.3 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.25 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.32 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.54 | yes | 224 | 100.39 | odd | 10 | inner |