Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 127.3 | ||
Character | \(\chi\) | \(=\) | 441.127 |
Dual form | 441.2.u.c.316.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0441061 | + | 0.0212404i | 0.0311877 | + | 0.0150192i | 0.449413 | − | 0.893324i | \(-0.351633\pi\) |
−0.418225 | + | 0.908344i | \(0.637348\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.24549 | − | 1.56179i | −0.622743 | − | 0.780895i | ||||
\(5\) | 0.763028 | + | 3.34304i | 0.341236 | + | 1.49505i | 0.796467 | + | 0.604681i | \(0.206700\pi\) |
−0.455231 | + | 0.890373i | \(0.650443\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.92953 | − | 1.81022i | 0.729294 | − | 0.684200i | ||||
\(8\) | −0.0435471 | − | 0.190792i | −0.0153962 | − | 0.0674553i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0373533 | + | 0.163656i | −0.0118122 | + | 0.0517524i | ||||
\(11\) | −0.156245 | − | 0.0752435i | −0.0471096 | − | 0.0226868i | 0.410181 | − | 0.912004i | \(-0.365466\pi\) |
−0.457290 | + | 0.889318i | \(0.651180\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.72757 | + | 1.31353i | 0.756492 | + | 0.364307i | 0.772042 | − | 0.635572i | \(-0.219236\pi\) |
−0.0155499 | + | 0.999879i | \(0.504950\pi\) | |||||||
\(14\) | 0.123554 | − | 0.0388579i | 0.0330212 | − | 0.0103852i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.886885 | + | 3.88570i | −0.221721 | + | 0.971425i | ||||
\(17\) | 1.10733 | − | 1.38855i | 0.268567 | − | 0.336772i | −0.629200 | − | 0.777244i | \(-0.716617\pi\) |
0.897767 | + | 0.440472i | \(0.145189\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.19549 | 0.503679 | 0.251840 | − | 0.967769i | \(-0.418964\pi\) | ||||
0.251840 | + | 0.967769i | \(0.418964\pi\) | |||||||
\(20\) | 4.27079 | − | 5.35540i | 0.954978 | − | 1.19750i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.00529315 | − | 0.00663740i | −0.00112850 | − | 0.00141510i | ||||
\(23\) | 4.46206 | + | 5.59525i | 0.930404 | + | 1.16669i | 0.985749 | + | 0.168222i | \(0.0538026\pi\) |
−0.0553453 | + | 0.998467i | \(0.517626\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.08889 | + | 2.93225i | −1.21778 | + | 0.586451i | ||||
\(26\) | 0.0924026 | + | 0.115869i | 0.0181216 | + | 0.0227238i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.23039 | − | 0.758915i | −0.988451 | − | 0.143422i | ||||
\(29\) | 1.71227 | − | 2.14711i | 0.317960 | − | 0.398709i | −0.597008 | − | 0.802235i | \(-0.703644\pi\) |
0.914968 | + | 0.403526i | \(0.132215\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.3306 | 1.85542 | 0.927711 | − | 0.373299i | \(-0.121773\pi\) | ||||
0.927711 | + | 0.373299i | \(0.121773\pi\) | |||||||
\(32\) | −0.365683 | + | 0.458552i | −0.0646443 | + | 0.0810614i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.0783332 | − | 0.0377233i | 0.0134340 | − | 0.00646949i | ||||
\(35\) | 7.52394 | + | 5.06926i | 1.27178 | + | 0.856861i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.42405 | − | 1.78570i | 0.234113 | − | 0.293568i | −0.650873 | − | 0.759187i | \(-0.725597\pi\) |
0.884985 | + | 0.465619i | \(0.154168\pi\) | |||||||
\(38\) | 0.0968344 | + | 0.0466330i | 0.0157086 | + | 0.00756487i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.604600 | − | 0.291160i | 0.0955956 | − | 0.0460364i | ||||
\(41\) | −2.16786 | − | 9.49800i | −0.338562 | − | 1.48334i | −0.802061 | − | 0.597242i | \(-0.796263\pi\) |
0.463499 | − | 0.886097i | \(-0.346594\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.03116 | + | 8.89909i | −0.309749 | + | 1.35710i | 0.545165 | + | 0.838328i | \(0.316467\pi\) |
−0.854914 | + | 0.518769i | \(0.826390\pi\) | |||||||
\(44\) | 0.0770861 | + | 0.337736i | 0.0116212 | + | 0.0509156i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0779589 | + | 0.341560i | 0.0114944 | + | 0.0503603i | ||||
\(47\) | −5.51726 | − | 2.65697i | −0.804775 | − | 0.387559i | −0.0141806 | − | 0.999899i | \(-0.504514\pi\) |
−0.790594 | + | 0.612340i | \(0.790228\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.446185 | − | 6.98577i | 0.0637407 | − | 0.997966i | ||||
\(50\) | −0.330839 | −0.0467877 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.34569 | − | 5.89587i | −0.186614 | − | 0.817610i | ||||
\(53\) | −7.52725 | − | 9.43887i | −1.03395 | − | 1.29653i | −0.954025 | − | 0.299728i | \(-0.903104\pi\) |
−0.0799225 | − | 0.996801i | \(-0.525467\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.132323 | − | 0.579746i | 0.0178425 | − | 0.0781730i | ||||
\(56\) | −0.429402 | − | 0.289310i | −0.0573813 | − | 0.0386607i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.121127 | − | 0.0583316i | 0.0159047 | − | 0.00765932i | ||||
\(59\) | −2.75873 | + | 12.0868i | −0.359156 | + | 1.57356i | 0.396146 | + | 0.918188i | \(0.370347\pi\) |
−0.755302 | + | 0.655377i | \(0.772510\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.52035 | + | 1.90646i | −0.194661 | + | 0.244097i | −0.869577 | − | 0.493798i | \(-0.835608\pi\) |
0.674916 | + | 0.737894i | \(0.264180\pi\) | |||||||
\(62\) | 0.455640 | + | 0.219425i | 0.0578664 | + | 0.0278670i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.15598 | − | 3.44614i | 0.894498 | − | 0.430767i | ||||
\(65\) | −2.30997 | + | 10.1206i | −0.286517 | + | 1.25531i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.55109 | −0.922513 | −0.461256 | − | 0.887267i | \(-0.652601\pi\) | ||||
−0.461256 | + | 0.887267i | \(0.652601\pi\) | |||||||
\(68\) | −3.54778 | −0.430231 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.224179 | + | 0.383396i | 0.0267945 | + | 0.0458246i | ||||
\(71\) | 3.70495 | + | 4.64586i | 0.439696 | + | 0.551362i | 0.951463 | − | 0.307763i | \(-0.0995803\pi\) |
−0.511767 | + | 0.859124i | \(0.671009\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.12362 | + | 1.50426i | −0.365592 | + | 0.176060i | −0.607656 | − | 0.794200i | \(-0.707890\pi\) |
0.242064 | + | 0.970260i | \(0.422176\pi\) | |||||||
\(74\) | 0.100738 | − | 0.0485131i | 0.0117106 | − | 0.00563953i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.73445 | − | 3.42889i | −0.313663 | − | 0.393321i | ||||
\(77\) | −0.437687 | + | 0.137653i | −0.0498791 | + | 0.0156870i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.8888 | −1.56261 | −0.781307 | − | 0.624147i | \(-0.785447\pi\) | ||||
−0.781307 | + | 0.624147i | \(0.785447\pi\) | |||||||
\(80\) | −13.6668 | −1.52799 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.106125 | − | 0.464966i | 0.0117196 | − | 0.0513469i | ||||
\(83\) | −4.19369 | + | 2.01957i | −0.460317 | + | 0.221677i | −0.649646 | − | 0.760237i | \(-0.725083\pi\) |
0.189329 | + | 0.981914i | \(0.439369\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.48689 | + | 2.64235i | 0.595137 | + | 0.286603i | ||||
\(86\) | −0.278606 | + | 0.349361i | −0.0300429 | + | 0.0376726i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.00755188 | + | 0.0330870i | −0.000805033 | + | 0.00352708i | ||||
\(89\) | −5.43329 | + | 2.61654i | −0.575928 | + | 0.277352i | −0.699089 | − | 0.715034i | \(-0.746411\pi\) |
0.123161 | + | 0.992387i | \(0.460697\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.64071 | − | 2.40302i | 0.800964 | − | 0.251904i | ||||
\(92\) | 3.18117 | − | 13.9376i | 0.331659 | − | 1.45309i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.186910 | − | 0.234377i | −0.0192783 | − | 0.0241742i | ||||
\(95\) | 1.67522 | + | 7.33961i | 0.171874 | + | 0.753028i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.03179 | −0.409366 | −0.204683 | − | 0.978828i | \(-0.565616\pi\) | ||||
−0.204683 | + | 0.978828i | \(0.565616\pi\) | |||||||
\(98\) | 0.168060 | − | 0.298638i | 0.0169766 | − | 0.0301670i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 12.1632 | + | 5.85748i | 1.21632 | + | 0.585748i | ||||
\(101\) | −0.404077 | − | 1.77038i | −0.0402072 | − | 0.176159i | 0.950837 | − | 0.309690i | \(-0.100225\pi\) |
−0.991045 | + | 0.133531i | \(0.957368\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.44367 | − | 10.7064i | −0.240782 | − | 1.05493i | −0.940308 | − | 0.340326i | \(-0.889463\pi\) |
0.699526 | − | 0.714607i | \(-0.253395\pi\) | |||||||
\(104\) | 0.131833 | − | 0.577600i | 0.0129273 | − | 0.0566383i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.131512 | − | 0.576193i | −0.0127736 | − | 0.0559648i | ||||
\(107\) | 9.38522 | − | 4.51969i | 0.907304 | − | 0.436934i | 0.0787824 | − | 0.996892i | \(-0.474897\pi\) |
0.828521 | + | 0.559957i | \(0.189182\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.24606 | + | 3.00794i | 0.598264 | + | 0.288109i | 0.708404 | − | 0.705807i | \(-0.249416\pi\) |
−0.110140 | + | 0.993916i | \(0.535130\pi\) | |||||||
\(110\) | 0.0181503 | − | 0.0227597i | 0.00173056 | − | 0.00217006i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.32271 | + | 9.10304i | 0.502949 | + | 0.860156i | ||||
\(113\) | −2.07851 | + | 1.00096i | −0.195530 | + | 0.0941621i | −0.529087 | − | 0.848568i | \(-0.677465\pi\) |
0.333557 | + | 0.942730i | \(0.391751\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −15.3005 | + | 19.1862i | −1.42678 | + | 1.78912i | ||||
\(116\) | −5.48594 | −0.509357 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.378404 | + | 0.474504i | −0.0348350 | + | 0.0436816i | ||||
\(119\) | −0.376953 | − | 4.68376i | −0.0345552 | − | 0.429359i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.83964 | − | 8.57663i | −0.621785 | − | 0.779694i | ||||
\(122\) | −0.107550 | + | 0.0517935i | −0.00973715 | + | 0.00468917i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.8666 | − | 16.1342i | −1.15545 | − | 1.44889i | ||||
\(125\) | −3.75886 | − | 4.71346i | −0.336203 | − | 0.421585i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.11411 | − | 6.41289i | 0.453804 | − | 0.569052i | −0.501319 | − | 0.865263i | \(-0.667152\pi\) |
0.955123 | + | 0.296210i | \(0.0957230\pi\) | |||||||
\(128\) | 1.56184 | 0.138049 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.316850 | + | 0.397317i | −0.0277896 | + | 0.0348470i | ||||
\(131\) | 5.02370 | − | 22.0103i | 0.438922 | − | 1.92304i | 0.0583427 | − | 0.998297i | \(-0.481418\pi\) |
0.380580 | − | 0.924748i | \(-0.375724\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.23626 | − | 3.97432i | 0.367331 | − | 0.344618i | ||||
\(134\) | −0.333049 | − | 0.160388i | −0.0287711 | − | 0.0138554i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.313145 | − | 0.150803i | −0.0268520 | − | 0.0129312i | ||||
\(137\) | −1.23748 | + | 5.42174i | −0.105725 | + | 0.463210i | 0.894156 | + | 0.447756i | \(0.147777\pi\) |
−0.999881 | + | 0.0154544i | \(0.995081\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.32002 | − | 5.78338i | −0.111963 | − | 0.490540i | −0.999553 | − | 0.0299059i | \(-0.990479\pi\) |
0.887590 | − | 0.460634i | \(-0.152378\pi\) | |||||||
\(140\) | −1.45385 | − | 18.0645i | −0.122872 | − | 1.52673i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0647310 | + | 0.283605i | 0.00543210 | + | 0.0237996i | ||||
\(143\) | −0.327334 | − | 0.410464i | −0.0273731 | − | 0.0343247i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.48440 | + | 4.08587i | 0.704591 | + | 0.339313i | ||||
\(146\) | −0.169722 | −0.0140463 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.56253 | −0.375038 | ||||||||
\(149\) | −10.5171 | − | 5.06479i | −0.861597 | − | 0.414923i | −0.0497281 | − | 0.998763i | \(-0.515835\pi\) |
−0.811869 | + | 0.583839i | \(0.801550\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.0429142 | + | 0.0538127i | 0.00349231 | + | 0.00437922i | 0.783575 | − | 0.621298i | \(-0.213394\pi\) |
−0.780082 | + | 0.625677i | \(0.784823\pi\) | |||||||
\(152\) | −0.0956072 | − | 0.418882i | −0.00775476 | − | 0.0339758i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0222285 | − | 0.00322529i | −0.00179122 | − | 0.000259901i | ||||
\(155\) | 7.88250 | + | 34.5355i | 0.633138 | + | 2.77396i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.31802 | + | 14.5372i | −0.264806 | + | 1.16019i | 0.651161 | + | 0.758940i | \(0.274282\pi\) |
−0.915967 | + | 0.401253i | \(0.868575\pi\) | |||||||
\(158\) | −0.612581 | − | 0.295004i | −0.0487344 | − | 0.0234692i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.81199 | − | 0.872607i | −0.143250 | − | 0.0689857i | ||||
\(161\) | 18.7383 | + | 2.71888i | 1.47679 | + | 0.214278i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.24351 | + | 14.2107i | −0.254051 | + | 1.11307i | 0.673445 | + | 0.739237i | \(0.264814\pi\) |
−0.927496 | + | 0.373833i | \(0.878043\pi\) | |||||||
\(164\) | −12.1338 | + | 15.2154i | −0.947494 | + | 1.18812i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.227864 | −0.0176856 | ||||||||
\(167\) | 9.87406 | − | 12.3817i | 0.764077 | − | 0.958123i | −0.235829 | − | 0.971795i | \(-0.575781\pi\) |
0.999907 | + | 0.0136718i | \(0.00435200\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.39109 | − | 2.99833i | −0.183930 | − | 0.230641i | ||||
\(170\) | 0.185881 | + | 0.233087i | 0.0142564 | + | 0.0178770i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 16.4283 | − | 7.91144i | 1.25264 | − | 0.603242i | ||||
\(173\) | −7.71405 | − | 9.67311i | −0.586488 | − | 0.735433i | 0.396716 | − | 0.917941i | \(-0.370150\pi\) |
−0.983204 | + | 0.182509i | \(0.941578\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.44067 | + | 16.6801i | −0.486869 | + | 1.26090i | ||||
\(176\) | 0.430945 | − | 0.540388i | 0.0324837 | − | 0.0407333i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.295217 | −0.0221275 | ||||||||
\(179\) | −8.89583 | + | 11.1550i | −0.664906 | + | 0.833766i | −0.993867 | − | 0.110578i | \(-0.964730\pi\) |
0.328962 | + | 0.944343i | \(0.393301\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.26203 | + | 1.08934i | −0.168135 | + | 0.0809696i | −0.516058 | − | 0.856553i | \(-0.672601\pi\) |
0.347923 | + | 0.937523i | \(0.386887\pi\) | |||||||
\(182\) | 0.388043 | + | 0.0563040i | 0.0287637 | + | 0.00417353i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.873220 | − | 1.09498i | 0.0643747 | − | 0.0807233i | ||||
\(185\) | 7.05628 | + | 3.39813i | 0.518788 | + | 0.249835i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.277494 | + | 0.133634i | −0.0202923 | + | 0.00977227i | ||||
\(188\) | 2.72204 | + | 11.9260i | 0.198525 | + | 0.869794i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.0820088 | + | 0.359304i | −0.00594954 | + | 0.0260666i | ||||
\(191\) | 0.626443 | + | 2.74463i | 0.0453278 | + | 0.198594i | 0.992522 | − | 0.122067i | \(-0.0389522\pi\) |
−0.947194 | + | 0.320661i | \(0.896095\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.92073 | + | 12.7966i | 0.210239 | + | 0.921116i | 0.964404 | + | 0.264432i | \(0.0851845\pi\) |
−0.754166 | + | 0.656684i | \(0.771958\pi\) | |||||||
\(194\) | −0.177826 | − | 0.0856367i | −0.0127672 | − | 0.00614836i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.4660 | + | 8.00382i | −0.819001 | + | 0.571702i | ||||
\(197\) | 25.8402 | 1.84104 | 0.920520 | − | 0.390695i | \(-0.127765\pi\) | ||||
0.920520 | + | 0.390695i | \(0.127765\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.22207 | − | 14.1168i | −0.228406 | − | 1.00071i | −0.950940 | − | 0.309377i | \(-0.899880\pi\) |
0.722533 | − | 0.691336i | \(-0.242978\pi\) | |||||||
\(200\) | 0.824605 | + | 1.03402i | 0.0583084 | + | 0.0731164i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.0197812 | − | 0.0866672i | 0.00139180 | − | 0.00609788i | ||||
\(203\) | −0.582883 | − | 7.24251i | −0.0409104 | − | 0.508324i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 30.0981 | − | 14.4945i | 2.10214 | − | 1.01234i | ||||
\(206\) | 0.119627 | − | 0.524122i | 0.00833483 | − | 0.0365173i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.52302 | + | 9.43357i | −0.521627 | + | 0.654100i | ||||
\(209\) | −0.343034 | − | 0.165196i | −0.0237281 | − | 0.0114269i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.22051 | − | 3.47721i | 0.497080 | − | 0.239381i | −0.168508 | − | 0.985700i | \(-0.553895\pi\) |
0.665588 | + | 0.746319i | \(0.268181\pi\) | |||||||
\(212\) | −5.36645 | + | 23.5120i | −0.368569 | + | 1.61481i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.509945 | 0.0348591 | ||||||||
\(215\) | −31.2999 | −2.13463 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.9331 | − | 18.7006i | 1.35315 | − | 1.26948i | ||||
\(218\) | 0.211599 | + | 0.265337i | 0.0143313 | + | 0.0179709i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.07025 | + | 0.515404i | −0.0721561 | + | 0.0347486i | ||||
\(221\) | 4.84421 | − | 2.33285i | 0.325857 | − | 0.156924i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.07653 | + | 3.85784i | 0.206019 | + | 0.258340i | 0.874097 | − | 0.485751i | \(-0.161454\pi\) |
−0.668078 | + | 0.744092i | \(0.732883\pi\) | |||||||
\(224\) | 0.124485 | + | 1.54676i | 0.00831748 | + | 0.103347i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.112936 | −0.00751236 | ||||||||
\(227\) | 13.5643 | 0.900293 | 0.450146 | − | 0.892955i | \(-0.351372\pi\) | ||||
0.450146 | + | 0.892955i | \(0.351372\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.19641 | + | 14.0044i | −0.211225 | + | 0.925436i | 0.752512 | + | 0.658579i | \(0.228842\pi\) |
−0.963736 | + | 0.266857i | \(0.914015\pi\) | |||||||
\(230\) | −1.08237 | + | 0.521240i | −0.0713691 | + | 0.0343695i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.484217 | − | 0.233187i | −0.0317904 | − | 0.0153095i | ||||
\(233\) | 8.86914 | − | 11.1216i | 0.581037 | − | 0.728597i | −0.401253 | − | 0.915967i | \(-0.631425\pi\) |
0.982289 | + | 0.187370i | \(0.0599965\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.67255 | − | 20.4718i | 0.304804 | − | 1.33543i | ||||
\(236\) | 22.3130 | − | 10.7454i | 1.45245 | − | 0.699463i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0828588 | − | 0.214589i | 0.00537094 | − | 0.0139097i | ||||
\(239\) | −3.87374 | + | 16.9719i | −0.250571 | + | 1.09782i | 0.680432 | + | 0.732812i | \(0.261792\pi\) |
−0.931003 | + | 0.365012i | \(0.881065\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.9013 | − | 17.4317i | −0.895462 | − | 1.12287i | −0.991835 | − | 0.127528i | \(-0.959296\pi\) |
0.0963734 | − | 0.995345i | \(-0.469276\pi\) | |||||||
\(242\) | −0.119499 | − | 0.523558i | −0.00768167 | − | 0.0336556i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.87105 | 0.311837 | ||||||||
\(245\) | 23.6942 | − | 3.83872i | 1.51377 | − | 0.245247i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.98835 | + | 2.88384i | 0.381029 | + | 0.183494i | ||||
\(248\) | −0.449866 | − | 1.97099i | −0.0285665 | − | 0.125158i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.0656729 | − | 0.287732i | −0.00415352 | − | 0.0181978i | ||||
\(251\) | −4.55597 | + | 19.9610i | −0.287570 | + | 1.25993i | 0.600279 | + | 0.799791i | \(0.295056\pi\) |
−0.887849 | + | 0.460136i | \(0.847801\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.276168 | − | 1.20997i | −0.0173625 | − | 0.0760701i | ||||
\(254\) | 0.361776 | − | 0.174222i | 0.0226998 | − | 0.0109317i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.2431 | − | 6.85911i | −0.890192 | − | 0.428694i | ||||
\(257\) | 12.7043 | − | 15.9307i | 0.792472 | − | 0.993729i | −0.207408 | − | 0.978255i | \(-0.566503\pi\) |
0.999880 | − | 0.0154744i | \(-0.00492584\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.484771 | − | 6.02343i | −0.0301222 | − | 0.374278i | ||||
\(260\) | 18.6834 | − | 8.99743i | 1.15869 | − | 0.557997i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.689082 | − | 0.864081i | 0.0425716 | − | 0.0533831i | ||||
\(263\) | −12.5861 | −0.776090 | −0.388045 | − | 0.921640i | \(-0.626850\pi\) | ||||
−0.388045 | + | 0.921640i | \(0.626850\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 25.8111 | − | 32.3661i | 1.58556 | − | 1.98823i | ||||
\(266\) | 0.271261 | − | 0.0853120i | 0.0166321 | − | 0.00523082i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.40477 | + | 11.7932i | 0.574488 | + | 0.720385i | ||||
\(269\) | 15.1678 | − | 7.30444i | 0.924799 | − | 0.445360i | 0.0900168 | − | 0.995940i | \(-0.471308\pi\) |
0.834782 | + | 0.550581i | \(0.185594\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.0705992 | − | 0.0885286i | −0.00428860 | − | 0.00537773i | 0.779683 | − | 0.626175i | \(-0.215380\pi\) |
−0.783971 | + | 0.620797i | \(0.786809\pi\) | |||||||
\(272\) | 4.41340 | + | 5.53423i | 0.267602 | + | 0.335562i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.169740 | + | 0.212847i | −0.0102544 | + | 0.0128586i | ||||
\(275\) | 1.17199 | 0.0706737 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.4437 | + | 15.6039i | −0.747667 | + | 0.937545i | −0.999543 | − | 0.0302148i | \(-0.990381\pi\) |
0.251877 | + | 0.967759i | \(0.418952\pi\) | |||||||
\(278\) | 0.0646203 | − | 0.283120i | 0.00387567 | − | 0.0169804i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.639530 | − | 1.65626i | 0.0382192 | − | 0.0989806i | ||||
\(281\) | −27.8157 | − | 13.3953i | −1.65935 | − | 0.799099i | −0.998834 | − | 0.0482844i | \(-0.984625\pi\) |
−0.660513 | − | 0.750815i | \(-0.729661\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.6131 | + | 9.92675i | 1.22532 | + | 0.590084i | 0.930789 | − | 0.365557i | \(-0.119122\pi\) |
0.294533 | + | 0.955641i | \(0.404836\pi\) | |||||||
\(284\) | 2.64139 | − | 11.5727i | 0.156738 | − | 0.686713i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.00571902 | − | 0.0250567i | −0.000338173 | − | 0.00148163i | ||||
\(287\) | −21.3765 | − | 14.4024i | −1.26181 | − | 0.850146i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.08097 | + | 13.4986i | 0.181234 | + | 0.794036i | ||||
\(290\) | 0.287428 | + | 0.360424i | 0.0168784 | + | 0.0211648i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.23976 | + | 3.00491i | 0.365154 | + | 0.175849i | ||||
\(293\) | 0.681514 | 0.0398145 | 0.0199072 | − | 0.999802i | \(-0.493663\pi\) | ||||
0.0199072 | + | 0.999802i | \(0.493663\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −42.5116 | −2.47512 | ||||||||
\(296\) | −0.402712 | − | 0.193936i | −0.0234072 | − | 0.0112723i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.356292 | − | 0.446776i | −0.0206394 | − | 0.0258810i | ||||
\(299\) | 4.82107 | + | 21.1225i | 0.278809 | + | 1.22154i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.1901 | + | 20.8479i | 0.702628 | + | 1.20165i | ||||
\(302\) | 0.000749776 | 0.00328498i | 4.31447e−5 | 0.000189029i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.94715 | + | 8.53100i | −0.111676 | + | 0.489287i | ||||
\(305\) | −7.53343 | − | 3.62791i | −0.431363 | − | 0.207733i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.44934 | − | 3.58741i | −0.425156 | − | 0.204744i | 0.209056 | − | 0.977904i | \(-0.432961\pi\) |
−0.634212 | + | 0.773159i | \(0.718675\pi\) | |||||||
\(308\) | 0.760118 | + | 0.512130i | 0.0433117 | + | 0.0291813i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.385881 | + | 1.69065i | −0.0219165 | + | 0.0960226i | ||||
\(311\) | −7.73302 | + | 9.69689i | −0.438499 | + | 0.549860i | −0.951147 | − | 0.308738i | \(-0.900093\pi\) |
0.512648 | + | 0.858599i | \(0.328665\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.96289 | −0.110949 | −0.0554745 | − | 0.998460i | \(-0.517667\pi\) | ||||
−0.0554745 | + | 0.998460i | \(0.517667\pi\) | |||||||
\(314\) | −0.455120 | + | 0.570702i | −0.0256839 | + | 0.0322066i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 17.2983 | + | 21.6914i | 0.973106 | + | 1.22024i | ||||
\(317\) | −2.87381 | − | 3.60364i | −0.161409 | − | 0.202401i | 0.694550 | − | 0.719445i | \(-0.255604\pi\) |
−0.855959 | + | 0.517044i | \(0.827032\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.429089 | + | 0.206638i | −0.0240244 | + | 0.0115695i | ||||
\(320\) | 16.9808 | + | 21.2933i | 0.949256 | + | 1.19033i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.768724 | + | 0.517928i | 0.0428393 | + | 0.0288630i | ||||
\(323\) | 2.43113 | − | 3.04854i | 0.135272 | − | 0.169625i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.4595 | −1.13489 | ||||||||
\(326\) | −0.444899 | + | 0.557886i | −0.0246407 | + | 0.0308985i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.71774 | + | 0.827221i | −0.0948465 | + | 0.0456757i | ||||
\(329\) | −15.4554 | + | 4.86076i | −0.852086 | + | 0.267982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.50841 | + | 11.9232i | −0.522630 | + | 0.655357i | −0.971165 | − | 0.238408i | \(-0.923374\pi\) |
0.448535 | + | 0.893765i | \(0.351946\pi\) | |||||||
\(332\) | 8.37732 | + | 4.03431i | 0.459765 | + | 0.221411i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.698497 | − | 0.336379i | 0.0382201 | − | 0.0184058i | ||||
\(335\) | −5.76169 | − | 25.2436i | −0.314795 | − | 1.37921i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.41355 | + | 6.19318i | −0.0770011 | + | 0.337364i | −0.998725 | − | 0.0504829i | \(-0.983924\pi\) |
0.921724 | + | 0.387847i | \(0.126781\pi\) | |||||||
\(338\) | −0.0417759 | − | 0.183032i | −0.00227231 | − | 0.00995563i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.70705 | − | 11.8604i | −0.146811 | − | 0.643219i | ||||
\(341\) | −1.61410 | − | 0.777308i | −0.0874082 | − | 0.0420936i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.7849 | − | 14.2869i | −0.636323 | − | 0.771423i | ||||
\(344\) | 1.78633 | 0.0963124 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.134776 | − | 0.590492i | −0.00724560 | − | 0.0317451i | ||||
\(347\) | 9.62174 | + | 12.0653i | 0.516522 | + | 0.647698i | 0.969866 | − | 0.243637i | \(-0.0783407\pi\) |
−0.453344 | + | 0.891335i | \(0.649769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.98224 | + | 8.68474i | −0.106107 | + | 0.464884i | 0.893760 | + | 0.448546i | \(0.148058\pi\) |
−0.999867 | + | 0.0163379i | \(0.994799\pi\) | |||||||
\(350\) | −0.638365 | + | 0.598893i | −0.0341220 | + | 0.0320122i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.0916392 | − | 0.0441311i | 0.00488439 | − | 0.00235220i | ||||
\(353\) | 0.320591 | − | 1.40460i | 0.0170634 | − | 0.0747594i | −0.965679 | − | 0.259737i | \(-0.916364\pi\) |
0.982743 | + | 0.184978i | \(0.0592213\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.7043 | + | 15.9307i | −0.674275 | + | 0.845515i | ||||
\(356\) | 10.8536 | + | 5.22680i | 0.575238 | + | 0.277020i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.629297 | + | 0.303054i | −0.0332594 | + | 0.0160169i | ||||
\(359\) | −2.03265 | + | 8.90562i | −0.107279 | + | 0.470021i | 0.892539 | + | 0.450970i | \(0.148922\pi\) |
−0.999819 | + | 0.0190512i | \(0.993935\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.1798 | −0.746307 | ||||||||
\(362\) | −0.122907 | −0.00645985 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −13.2694 | − | 8.94026i | −0.695506 | − | 0.468597i | ||||
\(365\) | −7.41221 | − | 9.29461i | −0.387973 | − | 0.486502i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 24.5186 | − | 11.8075i | 1.27986 | − | 0.616348i | 0.334506 | − | 0.942393i | \(-0.391430\pi\) |
0.945354 | + | 0.326045i | \(0.105716\pi\) | |||||||
\(368\) | −25.6988 | + | 12.3759i | −1.33964 | + | 0.645137i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.239048 | + | 0.299756i | 0.0124275 | + | 0.0155836i | ||||
\(371\) | −31.6105 | − | 4.58660i | −1.64114 | − | 0.238125i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −26.4804 | −1.37110 | −0.685551 | − | 0.728025i | \(-0.740439\pi\) | ||||
−0.685551 | + | 0.728025i | \(0.740439\pi\) | |||||||
\(374\) | −0.0150776 | −0.000779643 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.266669 | + | 1.16835i | −0.0137524 | + | 0.0602533i | ||||
\(377\) | 7.49062 | − | 3.60729i | 0.385787 | − | 0.185785i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.81277 | + | 3.28086i | 0.349948 | + | 0.168526i | 0.600597 | − | 0.799552i | \(-0.294930\pi\) |
−0.250649 | + | 0.968078i | \(0.580644\pi\) | |||||||
\(380\) | 9.37647 | − | 11.7577i | 0.481003 | − | 0.603158i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.0306669 | + | 0.134361i | −0.00156906 | + | 0.00687449i | ||||
\(383\) | −10.0694 | + | 4.84916i | −0.514521 | + | 0.247780i | −0.673081 | − | 0.739569i | \(-0.735029\pi\) |
0.158560 | + | 0.987349i | \(0.449315\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.794148 | − | 1.35817i | −0.0404735 | − | 0.0692189i | ||||
\(386\) | −0.142982 | + | 0.626443i | −0.00727757 | + | 0.0318851i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.02153 | + | 6.29680i | 0.254930 | + | 0.319672i | ||||
\(389\) | −4.51022 | − | 19.7606i | −0.228677 | − | 1.00190i | −0.950720 | − | 0.310052i | \(-0.899654\pi\) |
0.722043 | − | 0.691849i | \(-0.243203\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.7102 | 0.642784 | ||||||||
\(392\) | −1.35226 | + | 0.219081i | −0.0682995 | + | 0.0110653i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.13971 | + | 0.548856i | 0.0574179 | + | 0.0276510i | ||||
\(395\) | −10.5976 | − | 46.4309i | −0.533221 | − | 2.33619i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.449116 | − | 1.96770i | −0.0225405 | − | 0.0987563i | 0.962406 | − | 0.271613i | \(-0.0875572\pi\) |
−0.984947 | + | 0.172857i | \(0.944700\pi\) | |||||||
\(398\) | 0.157733 | − | 0.691074i | 0.00790645 | − | 0.0346404i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.99371 | − | 26.2602i | −0.299685 | − | 1.31301i | ||||
\(401\) | −23.0932 | + | 11.1211i | −1.15322 | + | 0.555361i | −0.909999 | − | 0.414611i | \(-0.863918\pi\) |
−0.243219 | + | 0.969971i | \(0.578203\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 28.1773 | + | 13.5695i | 1.40361 | + | 0.675944i | ||||
\(404\) | −2.26168 | + | 2.83606i | −0.112523 | + | 0.141099i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.128125 | − | 0.331819i | 0.00635873 | − | 0.0164679i | ||||
\(407\) | −0.356864 | + | 0.171856i | −0.0176891 | + | 0.00851861i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.5306 | − | 24.4906i | 0.965725 | − | 1.21098i | −0.0117503 | − | 0.999931i | \(-0.503740\pi\) |
0.977475 | − | 0.211050i | \(-0.0676882\pi\) | |||||||
\(410\) | 1.63538 | 0.0807656 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −13.6776 | + | 17.1512i | −0.673847 | + | 0.844977i | ||||
\(413\) | 16.5567 | + | 28.3157i | 0.814703 | + | 1.39333i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.95142 | − | 12.4787i | −0.488496 | − | 0.612555i | ||||
\(416\) | −1.59975 | + | 0.770398i | −0.0784341 | + | 0.0377719i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0116210 | − | 0.0145723i | −0.000568404 | − | 0.000712756i | ||||
\(419\) | −13.6567 | − | 17.1249i | −0.667172 | − | 0.836607i | 0.326931 | − | 0.945048i | \(-0.393986\pi\) |
−0.994103 | + | 0.108441i | \(0.965414\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.7154 | − | 19.7065i | 0.765920 | − | 0.960434i | −0.234010 | − | 0.972234i | \(-0.575185\pi\) |
0.999930 | + | 0.0118004i | \(0.00375629\pi\) | |||||||
\(422\) | 0.392326 | 0.0190981 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.47307 | + | 1.84718i | −0.0715388 | + | 0.0897069i | ||||
\(425\) | −2.67083 | + | 11.7017i | −0.129554 | + | 0.567614i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.517551 | + | 6.43073i | 0.0250461 | + | 0.311205i | ||||
\(428\) | −18.7480 | − | 9.02854i | −0.906217 | − | 0.436411i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.38051 | − | 0.664821i | −0.0665743 | − | 0.0320605i | ||||
\(431\) | 1.62140 | − | 7.10380i | 0.0780999 | − | 0.342178i | −0.920748 | − | 0.390157i | \(-0.872421\pi\) |
0.998848 | + | 0.0479786i | \(0.0152779\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.01722 | − | 8.83801i | −0.0969413 | − | 0.424728i | 0.903047 | − | 0.429542i | \(-0.141325\pi\) |
−0.999988 | + | 0.00481386i | \(0.998468\pi\) | |||||||
\(434\) | 1.27638 | − | 0.401424i | 0.0612682 | − | 0.0192689i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.08160 | − | 13.5014i | −0.147582 | − | 0.646599i | ||||
\(437\) | 9.79640 | + | 12.2843i | 0.468625 | + | 0.587638i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.9362 | − | 6.22974i | −0.617410 | − | 0.297329i | 0.0989147 | − | 0.995096i | \(-0.468463\pi\) |
−0.716325 | + | 0.697767i | \(0.754177\pi\) | |||||||
\(440\) | −0.116373 | −0.00554789 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.263210 | 0.0125196 | ||||||||
\(443\) | −8.93121 | − | 4.30104i | −0.424335 | − | 0.204349i | 0.209514 | − | 0.977806i | \(-0.432812\pi\) |
−0.633849 | + | 0.773457i | \(0.718526\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.8929 | − | 16.1672i | −0.611184 | − | 0.766401i | ||||
\(446\) | 0.0537515 | + | 0.235501i | 0.00254521 | + | 0.0111513i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.56941 | − | 19.6034i | 0.357621 | − | 0.926172i | ||||
\(449\) | 1.87386 | + | 8.20992i | 0.0884330 | + | 0.387450i | 0.999703 | − | 0.0243585i | \(-0.00775432\pi\) |
−0.911270 | + | 0.411809i | \(0.864897\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.375947 | + | 1.64713i | −0.0177026 | + | 0.0775604i | ||||
\(452\) | 4.15204 | + | 1.99951i | 0.195295 | + | 0.0940493i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.598267 | + | 0.288110i | 0.0280781 | + | 0.0135217i | ||||
\(455\) | 13.8635 | + | 23.7097i | 0.649929 | + | 1.11153i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.67062 | − | 29.2259i | 0.312038 | − | 1.36713i | −0.539124 | − | 0.842227i | \(-0.681244\pi\) |
0.851162 | − | 0.524903i | \(-0.175898\pi\) | |||||||
\(458\) | −0.438439 | + | 0.549786i | −0.0204869 | + | 0.0256898i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 49.0213 | 2.28563 | ||||||||
\(461\) | 6.92950 | − | 8.68931i | 0.322739 | − | 0.404702i | −0.593822 | − | 0.804596i | \(-0.702382\pi\) |
0.916561 | + | 0.399894i | \(0.130953\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.95467 | − | 12.4828i | −0.462633 | − | 0.580123i | 0.494717 | − | 0.869054i | \(-0.335272\pi\) |
−0.957350 | + | 0.288931i | \(0.906700\pi\) | |||||||
\(464\) | 6.82445 | + | 8.55760i | 0.316817 | + | 0.397276i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.627409 | − | 0.302144i | 0.0290642 | − | 0.0139966i | ||||
\(467\) | 7.38867 | + | 9.26510i | 0.341907 | + | 0.428738i | 0.922822 | − | 0.385226i | \(-0.125877\pi\) |
−0.580915 | + | 0.813964i | \(0.697305\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.5701 | + | 13.6692i | −0.672783 | + | 0.631183i | ||||
\(470\) | 0.640916 | − | 0.803684i | 0.0295633 | − | 0.0370712i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.42620 | 0.111675 | ||||||||
\(473\) | 0.986957 | − | 1.23760i | 0.0453803 | − | 0.0569051i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −13.3681 | + | 6.43773i | −0.613370 | + | 0.295383i | ||||
\(476\) | −6.84555 | + | 6.42227i | −0.313765 | + | 0.294364i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.531346 | + | 0.666286i | −0.0243032 | + | 0.0304752i | ||||
\(479\) | −6.93808 | − | 3.34120i | −0.317009 | − | 0.152663i | 0.268612 | − | 0.963248i | \(-0.413435\pi\) |
−0.585621 | + | 0.810585i | \(0.699149\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.22978 | − | 3.00010i | 0.284053 | − | 0.136793i | ||||
\(482\) | −0.242877 | − | 1.06411i | −0.0110627 | − | 0.0484690i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.87623 | + | 21.3641i | −0.221647 | + | 0.971097i | ||||
\(485\) | −3.07637 | − | 13.4784i | −0.139691 | − | 0.612025i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.59077 | + | 6.96962i | 0.0720847 | + | 0.315824i | 0.998097 | − | 0.0616708i | \(-0.0196429\pi\) |
−0.926012 | + | 0.377494i | \(0.876786\pi\) | |||||||
\(488\) | 0.429944 | + | 0.207050i | 0.0194626 | + | 0.00937271i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.12659 | + | 0.333962i | 0.0508943 | + | 0.0150869i | ||||
\(491\) | −16.5694 | −0.747765 | −0.373882 | − | 0.927476i | \(-0.621974\pi\) | ||||
−0.373882 | + | 0.927476i | \(0.621974\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.08533 | − | 4.75512i | −0.0488806 | − | 0.214160i | ||||
\(494\) | 0.202869 | + | 0.254389i | 0.00912750 | + | 0.0114455i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.16202 | + | 40.1414i | −0.411387 | + | 1.80240i | ||||
\(497\) | 15.5588 | + | 2.25755i | 0.697910 | + | 0.101265i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.85575 | + | 2.33840i | −0.217373 | + | 0.104681i | −0.539402 | − | 0.842049i | \(-0.681350\pi\) |
0.322029 | + | 0.946730i | \(0.395635\pi\) | |||||||
\(500\) | −2.67983 | + | 11.7411i | −0.119846 | + | 0.525078i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.624925 | + | 0.783631i | −0.0278918 | + | 0.0349752i | ||||
\(503\) | −6.28116 | − | 3.02485i | −0.280063 | − | 0.134871i | 0.288580 | − | 0.957456i | \(-0.406817\pi\) |
−0.568643 | + | 0.822585i | \(0.692531\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.61013 | − | 2.70169i | 0.249647 | − | 0.120224i | ||||
\(506\) | 0.0135195 | − | 0.0592329i | 0.000601016 | − | 0.00263322i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −16.3851 | −0.726973 | ||||||||
\(509\) | −21.5845 | −0.956718 | −0.478359 | − | 0.878164i | \(-0.658768\pi\) | ||||
−0.478359 | + | 0.878164i | \(0.658768\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.30409 | + | 8.55696i | −0.146164 | + | 0.378538i | ||||
\(512\) | −2.43010 | − | 3.04725i | −0.107396 | − | 0.134671i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.898711 | − | 0.432796i | 0.0396404 | − | 0.0190898i | ||||
\(515\) | 33.9274 | − | 16.3386i | 1.49502 | − | 0.719963i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.662123 | + | 0.830276i | 0.0291201 | + | 0.0365155i | ||||
\(518\) | 0.106558 | − | 0.275966i | 0.00468191 | − | 0.0121253i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.03153 | 0.0890887 | ||||||||
\(521\) | −19.5369 | −0.855925 | −0.427963 | − | 0.903796i | \(-0.640769\pi\) | ||||
−0.427963 | + | 0.903796i | \(0.640769\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.26070 | − | 27.4299i | 0.273761 | − | 1.19943i | −0.631773 | − | 0.775154i | \(-0.717672\pi\) |
0.905534 | − | 0.424273i | \(-0.139470\pi\) | |||||||
\(524\) | −40.6323 | + | 19.5675i | −1.77503 | + | 0.854810i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.555122 | − | 0.267333i | −0.0242045 | − | 0.0116563i | ||||
\(527\) | 11.4393 | − | 14.3445i | 0.498305 | − | 0.624854i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.27882 | + | 27.5093i | −0.272992 | + | 1.19606i | ||||
\(530\) | 1.82589 | − | 0.879303i | 0.0793117 | − | 0.0381945i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.4833 | − | 1.66619i | −0.497862 | − | 0.0722385i | ||||
\(533\) | 6.56292 | − | 28.7540i | 0.284271 | − | 1.24547i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.2707 | + | 27.9266i | 0.962846 | + | 1.20737i | ||||
\(536\) | 0.328828 | + | 1.44069i | 0.0142032 | + | 0.0622284i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.824143 | 0.0355313 | ||||||||
\(539\) | −0.595348 | + | 1.05792i | −0.0256434 | + | 0.0455677i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.9803 | − | 8.65887i | −0.773034 | − | 0.372274i | 0.00541156 | − | 0.999985i | \(-0.498277\pi\) |
−0.778446 | + | 0.627712i | \(0.783992\pi\) | |||||||
\(542\) | −0.00123347 | − | 0.00540421i | −5.29823e−5 | − | 0.000232131i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.231790 | + | 1.01554i | 0.00993790 | + | 0.0435408i | ||||
\(545\) | −5.28977 | + | 23.1760i | −0.226589 | + | 0.992750i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.73345 | + | 29.5012i | 0.287902 | + | 1.26138i | 0.887399 | + | 0.461002i | \(0.152510\pi\) |
−0.599497 | + | 0.800377i | \(0.704633\pi\) | |||||||
\(548\) | 10.0089 | − | 4.82002i | 0.427558 | − | 0.205901i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0516919 | + | 0.0248935i | 0.00220415 | + | 0.00106146i | ||||
\(551\) | 3.75926 | − | 4.71396i | 0.160150 | − | 0.200822i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −26.7989 | + | 25.1419i | −1.13961 | + | 1.06914i | ||||
\(554\) | −0.880273 | + | 0.423917i | −0.0373992 | + | 0.0180105i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.38836 | + | 9.26471i | −0.313336 | + | 0.392911i | ||||
\(557\) | 33.2445 | 1.40861 | 0.704307 | − | 0.709895i | \(-0.251258\pi\) | ||||
0.704307 | + | 0.709895i | \(0.251258\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.2293 | + | 21.6049i | −0.728723 | + | 0.913790i | ||||
\(560\) | −26.3705 | + | 24.7399i | −1.11436 | + | 1.04545i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.942320 | − | 1.18163i | −0.0397494 | − | 0.0498442i | ||||
\(563\) | 23.9867 | − | 11.5514i | 1.01092 | − | 0.486833i | 0.146289 | − | 0.989242i | \(-0.453267\pi\) |
0.864630 | + | 0.502409i | \(0.167553\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.93220 | − | 6.18479i | −0.207499 | − | 0.260196i | ||||
\(566\) | 0.698316 | + | 0.875660i | 0.0293524 | + | 0.0368067i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.725054 | − | 0.909189i | 0.0304226 | − | 0.0381487i | ||||
\(569\) | −5.01248 | −0.210134 | −0.105067 | − | 0.994465i | \(-0.533506\pi\) | ||||
−0.105067 | + | 0.994465i | \(0.533506\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.7139 | − | 18.4506i | 0.615756 | − | 0.772134i | −0.371984 | − | 0.928239i | \(-0.621322\pi\) |
0.987740 | + | 0.156105i | \(0.0498938\pi\) | |||||||
\(572\) | −0.233368 | + | 1.02245i | −0.00975762 | + | 0.0427509i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.636920 | − | 1.08928i | −0.0265845 | − | 0.0454655i | ||||
\(575\) | −43.5757 | − | 20.9849i | −1.81723 | − | 0.875132i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.3017 | − | 7.36890i | −0.637017 | − | 0.306771i | 0.0873582 | − | 0.996177i | \(-0.472158\pi\) |
−0.724376 | + | 0.689406i | \(0.757872\pi\) | |||||||
\(578\) | −0.150826 | + | 0.660812i | −0.00627354 | + | 0.0274862i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.18593 | − | 18.3397i | −0.173811 | − | 0.761517i | ||||
\(581\) | −4.43597 | + | 11.4883i | −0.184035 | + | 0.476617i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.465880 | + | 2.04115i | 0.0192948 | + | 0.0845359i | ||||
\(584\) | 0.423025 | + | 0.530457i | 0.0175049 | + | 0.0219505i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0300589 | + | 0.0144756i | 0.00124172 | + | 0.000597982i | ||||
\(587\) | 25.9448 | 1.07086 | 0.535429 | − | 0.844580i | \(-0.320150\pi\) | ||||
0.535429 | + | 0.844580i | \(0.320150\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.6806 | 0.934538 | ||||||||
\(590\) | −1.87502 | − | 0.902963i | −0.0771934 | − | 0.0371744i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.67574 | + | 7.11715i | 0.233272 | + | 0.292513i | ||||
\(593\) | 5.15607 | + | 22.5902i | 0.211734 | + | 0.927669i | 0.963388 | + | 0.268111i | \(0.0863994\pi\) |
−0.751654 | + | 0.659558i | \(0.770744\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.3704 | − | 4.83401i | 0.630124 | − | 0.198175i | ||||
\(596\) | 5.18881 | + | 22.7337i | 0.212542 | + | 0.931207i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.236011 | + | 1.03403i | −0.00965120 | + | 0.0422847i | ||||
\(599\) | 28.8256 | + | 13.8817i | 1.17778 | + | 0.567191i | 0.917265 | − | 0.398278i | \(-0.130392\pi\) |
0.260519 | + | 0.965469i | \(0.416106\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.9261 | + | 9.11434i | 0.772012 | + | 0.371782i | 0.778052 | − | 0.628200i | \(-0.216208\pi\) |
−0.00603931 | + | 0.999982i | \(0.501922\pi\) | |||||||
\(602\) | 0.0948422 | + | 1.17844i | 0.00386548 | + | 0.0480298i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0305951 | − | 0.134046i | 0.00124490 | − | 0.00545425i | ||||
\(605\) | 23.4532 | − | 29.4094i | 0.953509 | − | 1.19566i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.999958 | −0.0405870 | −0.0202935 | − | 0.999794i | \(-0.506460\pi\) | ||||
−0.0202935 | + | 0.999794i | \(0.506460\pi\) | |||||||
\(608\) | −0.802853 | + | 1.00675i | −0.0325600 | + | 0.0408290i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.255212 | − | 0.320026i | −0.0103332 | − | 0.0129575i | ||||
\(611\) | −11.5587 | − | 14.4942i | −0.467615 | − | 0.586371i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.9895 | + | 5.29227i | −0.443862 | + | 0.213753i | −0.642446 | − | 0.766331i | \(-0.722080\pi\) |
0.198584 | + | 0.980084i | \(0.436366\pi\) | |||||||
\(614\) | −0.252363 | − | 0.316453i | −0.0101845 | − | 0.0127710i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0453232 | + | 0.0775129i | 0.00182612 | + | 0.00312308i | ||||
\(617\) | 26.0055 | − | 32.6098i | 1.04694 | − | 1.31282i | 0.0987523 | − | 0.995112i | \(-0.468515\pi\) |
0.948188 | − | 0.317710i | \(-0.102914\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −19.9752 | −0.802870 | −0.401435 | − | 0.915888i | \(-0.631488\pi\) | ||||
−0.401435 | + | 0.915888i | \(0.631488\pi\) | |||||||
\(620\) | 44.1196 | − | 55.3243i | 1.77189 | − | 2.22188i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.547039 | + | 0.263440i | −0.0219343 | + | 0.0105630i | ||||
\(623\) | −5.74720 | + | 14.8842i | −0.230257 | + | 0.596321i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.17901 | + | 10.2562i | −0.327160 | + | 0.410246i | ||||
\(626\) | −0.0865753 | − | 0.0416925i | −0.00346025 | − | 0.00166637i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.8365 | − | 12.9238i | 1.07089 | − | 0.515716i | ||||
\(629\) | −0.902640 | − | 3.95473i | −0.0359906 | − | 0.157685i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.05987 | + | 17.7875i | −0.161621 | + | 0.708108i | 0.827556 | + | 0.561383i | \(0.189730\pi\) |
−0.989177 | + | 0.146725i | \(0.953127\pi\) | |||||||
\(632\) | 0.604818 | + | 2.64988i | 0.0240584 | + | 0.105407i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.0502097 | − | 0.219983i | −0.00199408 | − | 0.00873665i | ||||
\(635\) | 25.3408 | + | 12.2035i | 1.00562 | + | 0.484281i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.3930 | − | 18.4681i | 0.411786 | − | 0.731732i | ||||
\(638\) | −0.0233145 | −0.000923031 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.19173 | + | 5.22130i | 0.0471072 | + | 0.206390i | ||||
\(641\) | 26.0385 | + | 32.6513i | 1.02846 | + | 1.28965i | 0.956341 | + | 0.292252i | \(0.0944046\pi\) |
0.0721187 | + | 0.997396i | \(0.477024\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.14418 | − | 22.5381i | 0.202867 | − | 0.888817i | −0.766314 | − | 0.642466i | \(-0.777911\pi\) |
0.969181 | − | 0.246351i | \(-0.0792316\pi\) | |||||||
\(644\) | −19.0920 | − | 32.6516i | −0.752330 | − | 1.28666i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.171980 | − | 0.0828210i | 0.00676645 | − | 0.00325855i | ||||
\(647\) | −8.47312 | + | 37.1232i | −0.333113 | + | 1.45946i | 0.479955 | + | 0.877293i | \(0.340653\pi\) |
−0.813067 | + | 0.582170i | \(0.802204\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.34049 | − | 1.68092i | 0.0526188 | − | 0.0659819i | ||||
\(650\) | −0.902387 | − | 0.434567i | −0.0353945 | − | 0.0170451i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 26.2339 | − | 12.6336i | 1.02740 | − | 0.494769i | ||||
\(653\) | 8.16520 | − | 35.7741i | 0.319529 | − | 1.39995i | −0.518852 | − | 0.854864i | \(-0.673641\pi\) |
0.838381 | − | 0.545084i | \(-0.183502\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 77.4145 | 3.02483 | ||||||||
\(656\) | 38.8290 | 1.51602 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.784923 | − | 0.113890i | −0.0305995 | − | 0.00443990i | ||||
\(659\) | −0.117004 | − | 0.146718i | −0.00455782 | − | 0.00571532i | 0.779547 | − | 0.626343i | \(-0.215449\pi\) |
−0.784105 | + | 0.620628i | \(0.786878\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.5623 | − | 8.93915i | 0.721991 | − | 0.347693i | −0.0365374 | − | 0.999332i | \(-0.511633\pi\) |
0.758529 | + | 0.651640i | \(0.225919\pi\) | |||||||
\(662\) | −0.672631 | + | 0.323922i | −0.0261426 | + | 0.0125896i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.567942 | + | 0.712177i | 0.0220404 | + | 0.0276378i | ||||
\(665\) | 16.5187 | + | 11.1295i | 0.640569 | + | 0.431583i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 19.6539 | 0.761001 | ||||||||
\(668\) | −31.6356 | −1.22402 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.282058 | − | 1.23578i | 0.0108969 | − | 0.0477423i | ||||
\(671\) | 0.380995 | − | 0.183477i | 0.0147081 | − | 0.00708307i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.3526 | − | 6.43029i | −0.514706 | − | 0.247870i | 0.158454 | − | 0.987366i | \(-0.449349\pi\) |
−0.673160 | + | 0.739497i | \(0.735063\pi\) | |||||||
\(674\) | −0.193892 | + | 0.243133i | −0.00746843 | + | 0.00936512i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.70469 | + | 7.46874i | −0.0655651 | + | 0.287259i | ||||
\(677\) | −17.5002 | + | 8.42766i | −0.672588 | + | 0.323901i | −0.738820 | − | 0.673903i | \(-0.764617\pi\) |
0.0662319 | + | 0.997804i | \(0.478902\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.77946 | + | 7.29844i | −0.298548 | + | 0.280088i | ||||
\(680\) | 0.265202 | − | 1.16192i | 0.0101700 | − | 0.0445578i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0546811 | − | 0.0685680i | −0.00209385 | − | 0.00262560i | ||||
\(683\) | 4.96725 | + | 21.7629i | 0.190067 | + | 0.832736i | 0.976579 | + | 0.215161i | \(0.0690276\pi\) |
−0.786512 | + | 0.617575i | \(0.788115\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.0693 | −0.728602 | ||||||||
\(686\) | −0.216324 | − | 0.880456i | −0.00825930 | − | 0.0336160i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −32.7778 | − | 15.7849i | −1.24964 | − | 0.601795i | ||||
\(689\) | −8.13287 | − | 35.6324i | −0.309838 | − | 1.35749i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.10034 | − | 17.9648i | −0.155984 | − | 0.683412i | −0.991076 | − | 0.133301i | \(-0.957442\pi\) |
0.835091 | − | 0.550111i | \(-0.185415\pi\) | |||||||
\(692\) | −5.49962 | + | 24.0954i | −0.209064 | + | 0.915971i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.168106 | + | 0.736521i | 0.00638122 | + | 0.0279580i | ||||
\(695\) | 18.3269 | − | 8.82576i | 0.695178 | − | 0.334780i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.5889 | − | 7.50724i | −0.590474 | − | 0.284357i | ||||
\(698\) | −0.271896 | + | 0.340947i | −0.0102914 | + | 0.0129050i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 34.0726 | − | 10.7159i | 1.28782 | − | 0.405022i | ||||
\(701\) | −36.2625 | + | 17.4631i | −1.36961 | + | 0.659572i | −0.966758 | − | 0.255692i | \(-0.917697\pi\) |
−0.402856 | + | 0.915263i | \(0.631982\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.12649 | − | 3.92049i | 0.117918 | − | 0.147864i | ||||
\(704\) | −1.37738 | −0.0519121 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.0439743 | − | 0.0551420i | 0.00165499 | − | 0.00207530i | ||||
\(707\) | −3.98446 | − | 2.68453i | −0.149851 | − | 0.100962i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8009 | − | 16.0518i | −0.480747 | − | 0.602838i | 0.481019 | − | 0.876710i | \(-0.340267\pi\) |
−0.961766 | + | 0.273872i | \(0.911696\pi\) | |||||||
\(710\) | −0.898712 | + | 0.432797i | −0.0337281 | + | 0.0162426i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.735819 | + | 0.922688i | 0.0275760 | + | 0.0345792i | ||||
\(713\) | 46.0956 | + | 57.8020i | 1.72629 | + | 2.16470i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.12243 | − | 1.40749i | 0.0419767 | − | 0.0526371i | ||||
\(716\) | 28.5014 | 1.06515 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.278811 | + | 0.349618i | −0.0104051 | + | 0.0130476i | ||||
\(719\) | −0.332603 | + | 1.45723i | −0.0124040 | + | 0.0543455i | −0.980751 | − | 0.195262i | \(-0.937444\pi\) |
0.968347 | + | 0.249607i | \(0.0803015\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −24.0961 | − | 16.2348i | −0.897386 | − | 0.604614i | ||||
\(722\) | −0.625417 | − | 0.301185i | −0.0232756 | − | 0.0112089i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.51863 | + | 2.17606i | 0.167934 | + | 0.0808726i | ||||
\(725\) | −4.12991 | + | 18.0943i | −0.153381 | + | 0.672007i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4250 | + | 45.6749i | 0.386642 | + | 1.69399i | 0.676109 | + | 0.736802i | \(0.263665\pi\) |
−0.289466 | + | 0.957188i | \(0.593478\pi\) | |||||||
\(728\) | −0.791208 | − | 1.35315i | −0.0293241 | − | 0.0501509i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.129502 | − | 0.567387i | −0.00479310 | − | 0.0209999i | ||||
\(731\) | 10.1076 | + | 12.6746i | 0.373844 | + | 0.468786i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29.9367 | + | 14.4168i | 1.10574 | + | 0.532495i | 0.895458 | − | 0.445146i | \(-0.146848\pi\) |
0.210280 | + | 0.977641i | \(0.432562\pi\) | |||||||
\(734\) | 1.33222 | 0.0491730 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.19741 | −0.154719 | ||||||||
\(737\) | 1.17982 | + | 0.568171i | 0.0434592 | + | 0.0209288i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.0533 | + | 17.6223i | 0.516959 | + | 0.648246i | 0.969960 | − | 0.243264i | \(-0.0782181\pi\) |
−0.453001 | + | 0.891510i | \(0.649647\pi\) | |||||||
\(740\) | −3.48134 | − | 15.2527i | −0.127977 | − | 0.560702i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.29680 | − | 0.873717i | −0.0476069 | − | 0.0320751i | ||||
\(743\) | 7.45239 | + | 32.6511i | 0.273402 | + | 1.19785i | 0.905968 | + | 0.423345i | \(0.139144\pi\) |
−0.632567 | + | 0.774506i | \(0.717999\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.90693 | − | 39.0238i | 0.326325 | − | 1.42972i | ||||
\(746\) | −1.16795 | − | 0.562453i | −0.0427615 | − | 0.0205929i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.554322 | + | 0.266947i | 0.0202680 | + | 0.00976056i | ||||
\(749\) | 9.92745 | − | 25.7102i | 0.362741 | − | 0.939431i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.25892 | − | 27.4221i | 0.228391 | − | 1.00065i | −0.722561 | − | 0.691308i | \(-0.757035\pi\) |
0.950952 | − | 0.309339i | \(-0.100108\pi\) | |||||||
\(752\) | 15.2174 | − | 19.0820i | 0.554920 | − | 0.695848i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.407002 | 0.0148221 | ||||||||
\(755\) | −0.147154 | + | 0.184525i | −0.00535546 | + | 0.00671554i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.5086 | − | 20.7011i | −0.600014 | − | 0.752394i | 0.385366 | − | 0.922764i | \(-0.374075\pi\) |
−0.985380 | + | 0.170370i | \(0.945504\pi\) | |||||||
\(758\) | 0.230798 | + | 0.289411i | 0.00838296 | + | 0.0105119i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.32739 | − | 0.639238i | 0.0481495 | − | 0.0231876i | ||||
\(761\) | 1.34817 | + | 1.69055i | 0.0488711 | + | 0.0612824i | 0.805666 | − | 0.592370i | \(-0.201807\pi\) |
−0.756795 | + | 0.653652i | \(0.773236\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.4970 | − | 5.50284i | 0.633434 | − | 0.199216i | ||||
\(764\) | 3.50630 | − | 4.39676i | 0.126854 | − | 0.159069i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.547119 | −0.0197682 | ||||||||
\(767\) | −23.4010 | + | 29.3439i | −0.844960 | + | 1.05955i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.5570 | + | 9.41817i | −0.705244 | + | 0.339628i | −0.751894 | − | 0.659284i | \(-0.770860\pi\) |
0.0466502 | + | 0.998911i | \(0.485145\pi\) | |||||||
\(770\) | −0.00617866 | − | 0.0767717i | −0.000222663 | − | 0.00276666i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16.3478 | − | 20.4995i | 0.588370 | − | 0.737793i | ||||
\(773\) | 18.0076 | + | 8.67202i | 0.647690 | + | 0.311911i | 0.728731 | − | 0.684800i | \(-0.240110\pi\) |
−0.0810414 | + | 0.996711i | \(0.525825\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −62.9016 | + | 30.2918i | −2.25949 | + | 1.08811i | ||||
\(776\) | 0.175573 | + | 0.769234i | 0.00630269 | + | 0.0276139i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.220794 | − | 0.967360i | 0.00791583 | − | 0.0346815i | ||||
\(779\) | −4.75950 | − | 20.8528i | −0.170527 | − | 0.747127i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.229308 | − | 1.00466i | −0.00820529 | − | 0.0359497i | ||||
\(782\) | 0.560598 | + | 0.269970i | 0.0200470 | + | 0.00965411i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 26.7489 | + | 7.92931i | 0.955317 | + | 0.283190i | ||||
\(785\) | −51.1302 | −1.82491 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.861751 | + | 3.77558i | 0.0307181 | + | 0.134585i | 0.987962 | − | 0.154698i | \(-0.0494404\pi\) |
−0.957244 | + | 0.289283i | \(0.906583\pi\) | |||||||
\(788\) | −32.1836 | − | 40.3570i | −1.14649 | − | 1.43766i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.518793 | − | 2.27298i | 0.0184578 | − | 0.0808691i | ||||
\(791\) | −2.19859 | + | 5.69394i | −0.0781729 | + | 0.202453i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.65104 | + | 3.20297i | −0.236185 | + | 0.113741i | ||||
\(794\) | 0.0219860 | − | 0.0963271i | 0.000780255 | − | 0.00341852i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −18.0344 | + | 22.6144i | −0.639213 | + | 0.801548i | ||||
\(797\) | −47.4329 | − | 22.8425i | −1.68016 | − | 0.809123i | −0.996877 | − | 0.0789694i | \(-0.974837\pi\) |
−0.683283 | − | 0.730153i | \(-0.739449\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.79875 | + | 4.71883i | −0.346655 | + | 0.166940i | ||||
\(800\) | 0.882013 | − | 3.86435i | 0.0311839 | − | 0.136625i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.25477 | −0.0443073 | ||||||||
\(803\) | 0.601235 | 0.0212171 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.20853 | + | 64.7176i | 0.183577 | + | 2.28100i | ||||
\(806\) | 0.954570 | + | 1.19699i | 0.0336233 | + | 0.0421623i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.320178 | + | 0.154190i | −0.0112638 | + | 0.00542437i | ||||
\(809\) | −13.8665 | + | 6.67773i | −0.487518 | + | 0.234777i | −0.661461 | − | 0.749979i | \(-0.730063\pi\) |
0.173943 | + | 0.984756i | \(0.444349\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.2455 | + | 20.3712i | 0.570457 | + | 0.715330i | 0.980452 | − | 0.196757i | \(-0.0630411\pi\) |
−0.409995 | + | 0.912088i | \(0.634470\pi\) | |||||||
\(812\) | −10.5853 | + | 9.93078i | −0.371471 | + | 0.348502i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.0193901 | −0.000679624 | ||||||||
\(815\) | −49.9820 | −1.75079 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.45938 | + | 19.5378i | −0.156014 | + | 0.683542i | ||||
\(818\) | 1.38161 | − | 0.665347i | 0.0483067 | − | 0.0232633i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −60.1241 | − | 28.9542i | −2.09962 | − | 1.01113i | ||||
\(821\) | −33.2476 | + | 41.6911i | −1.16035 | + | 1.45503i | −0.293849 | + | 0.955852i | \(0.594936\pi\) |
−0.866499 | + | 0.499179i | \(0.833635\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.150512 | + | 0.659437i | −0.00524653 | + | 0.0229865i | −0.977483 | − | 0.211012i | \(-0.932324\pi\) |
0.972237 | + | 0.233999i | \(0.0751812\pi\) | |||||||
\(824\) | −1.93628 | + | 0.932466i | −0.0674537 | + | 0.0324840i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.128815 | + | 1.60057i | 0.00448205 | + | 0.0556909i | ||||
\(827\) | −7.11633 | + | 31.1787i | −0.247459 | + | 1.08419i | 0.686591 | + | 0.727044i | \(0.259107\pi\) |
−0.934049 | + | 0.357144i | \(0.883751\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.93326 | + | 7.44007i | 0.206071 | + | 0.258404i | 0.874117 | − | 0.485715i | \(-0.161441\pi\) |
−0.668047 | + | 0.744119i | \(0.732869\pi\) | |||||||
\(830\) | −0.173866 | − | 0.761758i | −0.00603499 | − | 0.0264410i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 24.0450 | 0.833612 | ||||||||
\(833\) | −9.20599 | − | 8.35509i | −0.318969 | − | 0.289487i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 48.9267 | + | 23.5618i | 1.69318 | + | 0.815391i | ||||
\(836\) | 0.169242 | + | 0.741496i | 0.00585334 | + | 0.0256452i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.238603 | − | 1.04539i | −0.00824239 | − | 0.0361123i | ||||
\(839\) | 3.06395 | − | 13.4241i | 0.105779 | − | 0.463450i | −0.894099 | − | 0.447869i | \(-0.852183\pi\) |
0.999879 | − | 0.0155810i | \(-0.00495979\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.77486 | + | 20.9200i | 0.164650 | + | 0.721381i | ||||
\(842\) | 1.11172 | − | 0.535374i | 0.0383123 | − | 0.0184502i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −14.4237 | − | 6.94610i | −0.496485 | − | 0.239094i | ||||
\(845\) | 8.19907 | − | 10.2813i | 0.282057 | − | 0.353688i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −28.7229 | − | 4.16762i | −0.986931 | − | 0.143201i | ||||
\(848\) | 43.3524 | − | 20.8774i | 1.48873 | − | 0.716934i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.366348 | + | 0.459386i | −0.0125656 | + | 0.0157568i | ||||
\(851\) | 16.3457 | 0.560322 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.4792 | − | 19.4103i | 0.529997 | − | 0.664595i | −0.442701 | − | 0.896669i | \(-0.645980\pi\) |
0.972698 | + | 0.232074i | \(0.0745511\pi\) | |||||||
\(854\) | −0.113764 | + | 0.294627i | −0.00389292 | + | 0.0100819i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.27102 | − | 1.59381i | −0.0434426 | − | 0.0544753i | ||||
\(857\) | 40.1913 | − | 19.3551i | 1.37291 | − | 0.661158i | 0.405434 | − | 0.914124i | \(-0.367120\pi\) |
0.967475 | + | 0.252966i | \(0.0814060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.17315 | + | 11.5028i | 0.312984 | + | 0.392469i | 0.913296 | − | 0.407297i | \(-0.133528\pi\) |
−0.600312 | + | 0.799766i | \(0.704957\pi\) | |||||||
\(860\) | 38.9835 | + | 48.8838i | 1.32933 | + | 1.66692i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.222401 | − | 0.278882i | 0.00757501 | − | 0.00949876i | ||||
\(863\) | 0.0760250 | 0.00258792 | 0.00129396 | − | 0.999999i | \(-0.499588\pi\) | ||||
0.00129396 | + | 0.999999i | \(0.499588\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 26.4516 | − | 33.1693i | 0.899381 | − | 1.12779i | ||||
\(866\) | 0.0987510 | − | 0.432657i | 0.00335570 | − | 0.0147023i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −54.0328 | − | 7.84002i | −1.83399 | − | 0.266108i | ||||
\(869\) | 2.17006 | + | 1.04504i | 0.0736141 | + | 0.0354507i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.5961 | − | 9.91857i | −0.697873 | − | 0.336078i | ||||
\(872\) | 0.301895 | − | 1.32269i | 0.0102234 | − | 0.0447918i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.171158 | + | 0.749891i | 0.00578950 | + | 0.0253655i | ||||
\(875\) | −15.7853 | − | 2.29040i | −0.533639 | − | 0.0774296i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.16816 | + | 31.4058i | 0.242051 | + | 1.06050i | 0.939146 | + | 0.343518i | \(0.111619\pi\) |
−0.697095 | + | 0.716979i | \(0.745524\pi\) | |||||||
\(878\) | −0.438242 | − | 0.549539i | −0.0147900 | − | 0.0185460i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.13536 | + | 1.02834i | 0.0719831 | + | 0.0346652i | ||||
\(881\) | 40.0778 | 1.35026 | 0.675128 | − | 0.737701i | \(-0.264089\pi\) | ||||
0.675128 | + | 0.737701i | \(0.264089\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.5726 | −0.995198 | −0.497599 | − | 0.867407i | \(-0.665785\pi\) | ||||
−0.497599 | + | 0.867407i | \(0.665785\pi\) | |||||||
\(884\) | −9.67682 | − | 4.66011i | −0.325467 | − | 0.156736i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.302565 | − | 0.379404i | −0.0101649 | − | 0.0127463i | ||||
\(887\) | 0.347965 | + | 1.52454i | 0.0116835 | + | 0.0511889i | 0.980434 | − | 0.196850i | \(-0.0630711\pi\) |
−0.968750 | + | 0.248039i | \(0.920214\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.74093 | − | 21.6316i | −0.0583888 | − | 0.725499i | ||||
\(890\) | −0.225259 | − | 0.986925i | −0.00755070 | − | 0.0330818i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.19337 | − | 9.60977i | 0.0734394 | − | 0.321759i | ||||
\(893\) | −12.1131 | − | 5.83335i | −0.405349 | − | 0.195206i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −44.0795 | − | 21.2276i | −1.47342 | − | 0.709559i | ||||
\(896\) | 3.01362 | − | 2.82728i | 0.100678 | − | 0.0944528i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.0917331 | + | 0.401909i | −0.00306117 | + | 0.0134119i | ||||
\(899\) | 17.6887 | − | 22.1809i | 0.589950 | − | 0.739774i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.4415 | −0.714318 | ||||||||
\(902\) | −0.0515672 | + | 0.0646633i | −0.00171700 | + | 0.00215305i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.281488 | + | 0.352975i | 0.00936215 | + | 0.0117398i | ||||
\(905\) | −5.36769 | − | 6.73086i | −0.178428 | − | 0.223742i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.37282 | − | 2.58741i | 0.178402 | − | 0.0859137i | −0.342551 | − | 0.939499i | \(-0.611291\pi\) |
0.520953 | + | 0.853585i | \(0.325577\pi\) | |||||||
\(908\) | −16.8941 | − | 21.1845i | −0.560651 | − | 0.703034i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.107861 | + | 1.34021i | 0.00357556 | + | 0.0444274i | ||||
\(911\) | −10.4648 | + | 13.1224i | −0.346713 | + | 0.434764i | −0.924359 | − | 0.381523i | \(-0.875400\pi\) |
0.577646 | + | 0.816287i | \(0.303971\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.807202 | 0.0267145 | ||||||||
\(914\) | 0.914984 | − | 1.14735i | 0.0302650 | − | 0.0379511i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 25.8530 | − | 12.4501i | 0.854206 | − | 0.411364i | ||||
\(917\) | −30.1501 | − | 51.5635i | −0.995644 | − | 1.70278i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.62680 | + | 7.05579i | −0.185611 | + | 0.232749i | −0.865927 | − | 0.500170i | \(-0.833271\pi\) |
0.680316 | + | 0.732919i | \(0.261842\pi\) | |||||||
\(920\) | 4.32687 | + | 2.08371i | 0.142653 | + | 0.0686979i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.490197 | − | 0.236067i | 0.0161438 | − | 0.00777444i | ||||
\(923\) | 4.00304 | + | 17.5384i | 0.131762 | + | 0.577285i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.43475 | + | 15.0486i | −0.112934 | + | 0.494796i | ||||
\(926\) | −0.173923 | − | 0.762007i | −0.00571547 | − | 0.0250411i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.358417 | + | 1.57033i | 0.0117656 | + | 0.0515485i | ||||
\(929\) | 8.13724 | + | 3.91869i | 0.266974 | + | 0.128568i | 0.562582 | − | 0.826741i | \(-0.309808\pi\) |
−0.295608 | + | 0.955309i | \(0.595522\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.979593 | − | 15.3372i | 0.0321049 | − | 0.502655i | ||||
\(932\) | −28.4159 | −0.930794 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.129091 | + | 0.565585i | 0.00422399 | + | 0.0185065i | ||||
\(935\) | −0.658479 | − | 0.825707i | −0.0215346 | − | 0.0270035i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.70141 | − | 38.1234i | 0.284263 | − | 1.24544i | −0.608007 | − | 0.793932i | \(-0.708031\pi\) |
0.892269 | − | 0.451504i | \(-0.149112\pi\) | |||||||
\(938\) | −0.932967 | + | 0.293419i | −0.0304624 | + | 0.00958049i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −37.7922 | + | 18.1998i | −1.23265 | + | 0.593611i | ||||
\(941\) | 2.42878 | − | 10.6412i | 0.0791761 | − | 0.346893i | −0.919787 | − | 0.392418i | \(-0.871639\pi\) |
0.998963 | + | 0.0455246i | \(0.0144959\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 43.4706 | − | 54.5104i | 1.41560 | − | 1.77510i | ||||
\(944\) | −44.5189 | − | 21.4392i | −1.44897 | − | 0.697786i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0698180 | − | 0.0336226i | 0.00226998 | − | 0.00109316i | ||||
\(947\) | 12.4930 | − | 54.7355i | 0.405969 | − | 1.77866i | −0.196481 | − | 0.980508i | \(-0.562951\pi\) |
0.602450 | − | 0.798157i | \(-0.294191\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −10.4958 | −0.340707 | ||||||||
\(950\) | −0.726353 | −0.0235660 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.877210 | + | 0.275884i | −0.0284305 | + | 0.00894144i | ||||
\(953\) | 1.70562 | + | 2.13878i | 0.0552504 | + | 0.0692818i | 0.808689 | − | 0.588237i | \(-0.200178\pi\) |
−0.753438 | + | 0.657518i | \(0.771606\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.69741 | + | 4.18845i | −0.281442 | + | 0.135535i | ||||
\(956\) | 31.3313 | − | 15.0883i | 1.01333 | − | 0.487992i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.235043 | − | 0.294735i | −0.00759390 | − | 0.00952245i | ||||
\(959\) | 7.42681 | + | 12.7015i | 0.239824 | + | 0.410154i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 75.7204 | 2.44259 | ||||||||
\(962\) | 0.338494 | 0.0109135 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.91074 | + | 43.4218i | −0.319204 | + | 1.39852i | ||||
\(965\) | −40.5509 | + | 19.5283i | −1.30538 | + | 0.628637i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.5668 | + | 8.94129i | 0.597068 | + | 0.287533i | 0.707907 | − | 0.706306i | \(-0.249640\pi\) |
−0.110839 | + | 0.993838i | \(0.535354\pi\) | |||||||
\(968\) | −1.33851 | + | 1.67844i | −0.0430213 | + | 0.0539470i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.150601 | − | 0.659825i | 0.00483550 | − | 0.0211857i | ||||
\(971\) | 16.0534 | − | 7.73093i | 0.515179 | − | 0.248097i | −0.158183 | − | 0.987410i | \(-0.550564\pi\) |
0.673362 | + | 0.739312i | \(0.264849\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −13.0162 | − | 8.76969i | −0.417281 | − | 0.281143i | ||||
\(974\) | −0.0778746 | + | 0.341191i | −0.00249526 | + | 0.0109325i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.05954 | − | 7.59842i | −0.193961 | − | 0.243219i | ||||
\(977\) | −2.55259 | − | 11.1836i | −0.0816645 | − | 0.357796i | 0.917541 | − | 0.397640i | \(-0.130171\pi\) |
−0.999206 | + | 0.0398447i | \(0.987314\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.04580 | 0.0334239 | ||||||||
\(980\) | −35.5060 | − | 32.2242i | −1.13420 | − | 1.02937i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.730810 | − | 0.351939i | −0.0233211 | − | 0.0112308i | ||||
\(983\) | −2.86970 | − | 12.5730i | −0.0915291 | − | 0.401015i | 0.908322 | − | 0.418272i | \(-0.137364\pi\) |
−0.999851 | + | 0.0172563i | \(0.994507\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 19.7168 | + | 86.3851i | 0.628230 | + | 2.75246i | ||||
\(986\) | 0.0531311 | − | 0.232783i | 0.00169204 | − | 0.00741331i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.95445 | − | 12.9443i | −0.0939937 | − | 0.411813i | ||||
\(989\) | −58.8557 | + | 28.3434i | −1.87150 | + | 0.901268i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −39.7079 | − | 19.1223i | −1.26136 | − | 0.607440i | −0.320827 | − | 0.947138i | \(-0.603961\pi\) |
−0.940535 | + | 0.339698i | \(0.889675\pi\) | |||||||
\(992\) | −3.77771 | + | 4.73710i | −0.119942 | + | 0.150403i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.638289 | + | 0.430047i | 0.0202453 | + | 0.0136403i | ||||
\(995\) | 44.7345 | − | 21.5430i | 1.41818 | − | 0.682959i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.7042 | − | 14.6765i | 0.370674 | − | 0.464811i | −0.561154 | − | 0.827712i | \(-0.689642\pi\) |
0.931828 | + | 0.362901i | \(0.118214\pi\) | |||||||
\(998\) | −0.263836 | −0.00835160 | ||||||||
\(999\) | 0 | 0 |
(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 | 441.2.u.c.127.3 | 24 | ||
3.2 | odd | 2 | 147.2.i.a.127.2 | yes | 24 | ||
49.22 | even | 7 | inner | 441.2.u.c.316.3 | 24 | ||
147.62 | even | 14 | 7203.2.a.b.1.7 | 12 | |||
147.71 | odd | 14 | 147.2.i.a.22.2 | ✓ | 24 | ||
147.134 | odd | 14 | 7203.2.a.a.1.7 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.a.22.2 | ✓ | 24 | 147.71 | odd | 14 | ||
147.2.i.a.127.2 | yes | 24 | 3.2 | odd | 2 | ||
441.2.u.c.127.3 | 24 | 1.1 | even | 1 | trivial | ||
441.2.u.c.316.3 | 24 | 49.22 | even | 7 | inner | ||
7203.2.a.a.1.7 | 12 | 147.134 | odd | 14 | |||
7203.2.a.b.1.7 | 12 | 147.62 | even | 14 |