Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 691.1 | ||
Character | \(\chi\) | \(=\) | 930.691 |
Dual form | 930.2.bg.g.751.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −2.05288 | + | 0.914002i | −0.775917 | + | 0.345460i | −0.756196 | − | 0.654345i | \(-0.772944\pi\) |
−0.0197207 | + | 0.999806i | \(0.506278\pi\) | |||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −0.978148 | + | 0.207912i | −0.309317 | + | 0.0657474i | ||||
\(11\) | −0.0978320 | + | 0.930809i | −0.0294975 | + | 0.280650i | 0.969824 | + | 0.243808i | \(0.0783965\pi\) |
−0.999321 | + | 0.0368420i | \(0.988270\pi\) | |||||||
\(12\) | 0.669131 | + | 0.743145i | 0.193161 | + | 0.214527i | ||||
\(13\) | −1.58460 | + | 1.75988i | −0.439490 | + | 0.488103i | −0.921673 | − | 0.387967i | \(-0.873177\pi\) |
0.482183 | + | 0.876070i | \(0.339844\pi\) | |||||||
\(14\) | 0.234892 | + | 2.23485i | 0.0627776 | + | 0.597289i | ||||
\(15\) | 0.309017 | + | 0.951057i | 0.0797878 | + | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.108095 | − | 1.02846i | −0.0262169 | − | 0.249437i | −0.999779 | − | 0.0210154i | \(-0.993310\pi\) |
0.973562 | − | 0.228422i | \(-0.0733566\pi\) | |||||||
\(18\) | 0.669131 | − | 0.743145i | 0.157716 | − | 0.175161i | ||||
\(19\) | 4.82120 | + | 5.35449i | 1.10606 | + | 1.22840i | 0.971384 | + | 0.237514i | \(0.0763326\pi\) |
0.134676 | + | 0.990890i | \(0.457001\pi\) | |||||||
\(20\) | −0.104528 | + | 0.994522i | −0.0233733 | + | 0.222382i | ||||
\(21\) | 2.19805 | − | 0.467211i | 0.479655 | − | 0.101954i | ||||
\(22\) | 0.855020 | + | 0.380680i | 0.182291 | + | 0.0811612i | ||||
\(23\) | 2.80922 | − | 2.04102i | 0.585764 | − | 0.425582i | −0.255034 | − | 0.966932i | \(-0.582087\pi\) |
0.840797 | + | 0.541350i | \(0.182087\pi\) | |||||||
\(24\) | 0.913545 | − | 0.406737i | 0.186477 | − | 0.0830248i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 1.18408 | + | 2.05088i | 0.232217 | + | 0.402211i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 2.19805 | + | 0.467211i | 0.415393 | + | 0.0882945i | ||||
\(29\) | −1.38557 | + | 4.26435i | −0.257294 | + | 0.791869i | 0.736075 | + | 0.676900i | \(0.236677\pi\) |
−0.993369 | + | 0.114970i | \(0.963323\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 5.38027 | − | 1.43273i | 0.966325 | − | 0.257326i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.289220 | − | 0.890128i | 0.0503468 | − | 0.154951i | ||||
\(34\) | −1.01152 | − | 0.215006i | −0.173475 | − | 0.0368732i | ||||
\(35\) | 1.81799 | + | 1.32085i | 0.307296 | + | 0.223264i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −1.47425 | + | 2.55347i | −0.242365 | + | 0.419788i | −0.961387 | − | 0.275199i | \(-0.911256\pi\) |
0.719023 | + | 0.694986i | \(0.244590\pi\) | |||||||
\(38\) | 6.58226 | − | 2.93061i | 1.06778 | − | 0.475408i | ||||
\(39\) | 1.91588 | − | 1.39197i | 0.306786 | − | 0.222893i | ||||
\(40\) | 0.913545 | + | 0.406737i | 0.144444 | + | 0.0643107i | ||||
\(41\) | −0.336978 | + | 0.0716269i | −0.0526271 | + | 0.0111862i | −0.234150 | − | 0.972200i | \(-0.575231\pi\) |
0.181523 | + | 0.983387i | \(0.441897\pi\) | |||||||
\(42\) | 0.234892 | − | 2.23485i | 0.0362446 | − | 0.344845i | ||||
\(43\) | 0.815344 | + | 0.905531i | 0.124339 | + | 0.138092i | 0.802100 | − | 0.597190i | \(-0.203716\pi\) |
−0.677761 | + | 0.735282i | \(0.737050\pi\) | |||||||
\(44\) | 0.626264 | − | 0.695536i | 0.0944128 | − | 0.104856i | ||||
\(45\) | −0.104528 | − | 0.994522i | −0.0155822 | − | 0.148255i | ||||
\(46\) | −1.07303 | − | 3.30244i | −0.158209 | − | 0.486918i | ||||
\(47\) | 0.920779 | + | 2.83387i | 0.134309 | + | 0.413362i | 0.995482 | − | 0.0949509i | \(-0.0302694\pi\) |
−0.861173 | + | 0.508313i | \(0.830269\pi\) | |||||||
\(48\) | −0.104528 | − | 0.994522i | −0.0150874 | − | 0.143547i | ||||
\(49\) | −1.30499 | + | 1.44934i | −0.186427 | + | 0.207048i | ||||
\(50\) | 0.669131 | + | 0.743145i | 0.0946294 | + | 0.105097i | ||||
\(51\) | −0.108095 | + | 1.02846i | −0.0151363 | + | 0.144013i | ||||
\(52\) | 2.31640 | − | 0.492367i | 0.321227 | − | 0.0682790i | ||||
\(53\) | 5.57251 | + | 2.48104i | 0.765444 | + | 0.340797i | 0.752044 | − | 0.659113i | \(-0.229068\pi\) |
0.0133995 | + | 0.999910i | \(0.495735\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 0.855020 | − | 0.380680i | 0.115291 | − | 0.0513308i | ||||
\(56\) | 1.12358 | − | 1.94610i | 0.150145 | − | 0.260058i | ||||
\(57\) | −3.60259 | − | 6.23986i | −0.477174 | − | 0.826490i | ||||
\(58\) | 3.62747 | + | 2.63551i | 0.476310 | + | 0.346060i | ||||
\(59\) | 11.2895 | + | 2.39966i | 1.46977 | + | 0.312409i | 0.872098 | − | 0.489331i | \(-0.162759\pi\) |
0.597673 | + | 0.801740i | \(0.296092\pi\) | |||||||
\(60\) | 0.309017 | − | 0.951057i | 0.0398939 | − | 0.122781i | ||||
\(61\) | −5.29557 | −0.678028 | −0.339014 | − | 0.940781i | \(-0.610093\pi\) | ||||
−0.339014 | + | 0.940781i | \(0.610093\pi\) | |||||||
\(62\) | 0.299987 | − | 5.55968i | 0.0380983 | − | 0.706080i | ||||
\(63\) | −2.24716 | −0.283116 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 2.31640 | + | 0.492367i | 0.287315 | + | 0.0610706i | ||||
\(66\) | −0.757188 | − | 0.550130i | −0.0932035 | − | 0.0677163i | ||||
\(67\) | −1.21006 | − | 2.09589i | −0.147833 | − | 0.256054i | 0.782593 | − | 0.622533i | \(-0.213896\pi\) |
−0.930426 | + | 0.366479i | \(0.880563\pi\) | |||||||
\(68\) | −0.517061 | + | 0.895576i | −0.0627028 | + | 0.108604i | ||||
\(69\) | −3.17219 | + | 1.41235i | −0.381887 | + | 0.170027i | ||||
\(70\) | 1.81799 | − | 1.32085i | 0.217291 | − | 0.157871i | ||||
\(71\) | 5.31028 | + | 2.36429i | 0.630215 | + | 0.280590i | 0.696882 | − | 0.717186i | \(-0.254570\pi\) |
−0.0666676 | + | 0.997775i | \(0.521237\pi\) | |||||||
\(72\) | −0.978148 | + | 0.207912i | −0.115276 | + | 0.0245026i | ||||
\(73\) | −1.06471 | + | 10.1301i | −0.124615 | + | 1.18564i | 0.736217 | + | 0.676746i | \(0.236610\pi\) |
−0.860832 | + | 0.508889i | \(0.830056\pi\) | |||||||
\(74\) | 1.97293 | + | 2.19116i | 0.229348 | + | 0.254717i | ||||
\(75\) | 0.669131 | − | 0.743145i | 0.0772645 | − | 0.0858110i | ||||
\(76\) | −0.753146 | − | 7.16570i | −0.0863918 | − | 0.821963i | ||||
\(77\) | −0.649924 | − | 2.00026i | −0.0740657 | − | 0.227951i | ||||
\(78\) | −0.731800 | − | 2.25225i | −0.0828600 | − | 0.255017i | ||||
\(79\) | 0.368162 | + | 3.50283i | 0.0414215 | + | 0.394099i | 0.995516 | + | 0.0945933i | \(0.0301551\pi\) |
−0.954095 | + | 0.299506i | \(0.903178\pi\) | |||||||
\(80\) | 0.669131 | − | 0.743145i | 0.0748111 | − | 0.0830861i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.0360107 | + | 0.342619i | −0.00397672 | + | 0.0378359i | ||||
\(83\) | 9.52394 | − | 2.02438i | 1.04539 | − | 0.222204i | 0.346957 | − | 0.937881i | \(-0.387215\pi\) |
0.698431 | + | 0.715677i | \(0.253882\pi\) | |||||||
\(84\) | −2.05288 | − | 0.914002i | −0.223988 | − | 0.0997258i | ||||
\(85\) | −0.836622 | + | 0.607841i | −0.0907444 | + | 0.0659297i | ||||
\(86\) | 1.11317 | − | 0.495614i | 0.120036 | − | 0.0534434i | ||||
\(87\) | 2.24190 | − | 3.88308i | 0.240357 | − | 0.416310i | ||||
\(88\) | −0.467968 | − | 0.810545i | −0.0498856 | − | 0.0864044i | ||||
\(89\) | −1.59021 | − | 1.15535i | −0.168561 | − | 0.122467i | 0.500306 | − | 0.865849i | \(-0.333221\pi\) |
−0.668868 | + | 0.743381i | \(0.733221\pi\) | |||||||
\(90\) | −0.978148 | − | 0.207912i | −0.103106 | − | 0.0219158i | ||||
\(91\) | 1.64447 | − | 5.06116i | 0.172387 | − | 0.530554i | ||||
\(92\) | −3.47239 | −0.362022 | ||||||||
\(93\) | −5.56058 | + | 0.282801i | −0.576605 | + | 0.0293251i | ||||
\(94\) | 2.97970 | 0.307333 | ||||||||
\(95\) | 2.22652 | − | 6.85253i | 0.228436 | − | 0.703055i | ||||
\(96\) | −0.978148 | − | 0.207912i | −0.0998318 | − | 0.0212199i | ||||
\(97\) | −13.1974 | − | 9.58848i | −1.33999 | − | 0.973562i | −0.999444 | − | 0.0333358i | \(-0.989387\pi\) |
−0.340550 | − | 0.940227i | \(-0.610613\pi\) | |||||||
\(98\) | 0.975137 | + | 1.68899i | 0.0985037 | + | 0.170613i | ||||
\(99\) | −0.467968 | + | 0.810545i | −0.0470326 | + | 0.0814628i | ||||
\(100\) | 0.913545 | − | 0.406737i | 0.0913545 | − | 0.0406737i | ||||
\(101\) | −4.01975 | + | 2.92052i | −0.399980 | + | 0.290603i | −0.769533 | − | 0.638607i | \(-0.779511\pi\) |
0.369553 | + | 0.929210i | \(0.379511\pi\) | |||||||
\(102\) | 0.944717 | + | 0.420615i | 0.0935409 | + | 0.0416471i | ||||
\(103\) | −17.5302 | + | 3.72616i | −1.72730 | + | 0.367150i | −0.961261 | − | 0.275639i | \(-0.911110\pi\) |
−0.766043 | + | 0.642789i | \(0.777777\pi\) | |||||||
\(104\) | 0.247539 | − | 2.35518i | 0.0242732 | − | 0.230944i | ||||
\(105\) | −1.50364 | − | 1.66997i | −0.146741 | − | 0.162972i | ||||
\(106\) | 4.08161 | − | 4.53309i | 0.396441 | − | 0.440293i | ||||
\(107\) | −0.0604119 | − | 0.574781i | −0.00584024 | − | 0.0555661i | 0.991214 | − | 0.132271i | \(-0.0422268\pi\) |
−0.997054 | + | 0.0767046i | \(0.975560\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 5.56715 | + | 17.1339i | 0.533237 | + | 1.64113i | 0.747429 | + | 0.664342i | \(0.231288\pi\) |
−0.214192 | + | 0.976792i | \(0.568712\pi\) | |||||||
\(110\) | −0.0978320 | − | 0.930809i | −0.00932791 | − | 0.0887492i | ||||
\(111\) | 1.97293 | − | 2.19116i | 0.187262 | − | 0.207975i | ||||
\(112\) | −1.50364 | − | 1.66997i | −0.142081 | − | 0.157797i | ||||
\(113\) | −0.944696 | + | 8.98818i | −0.0888695 | + | 0.845537i | 0.855754 | + | 0.517382i | \(0.173093\pi\) |
−0.944624 | + | 0.328155i | \(0.893573\pi\) | |||||||
\(114\) | −7.04772 | + | 1.49804i | −0.660080 | + | 0.140304i | ||||
\(115\) | −3.17219 | − | 1.41235i | −0.295808 | − | 0.131702i | ||||
\(116\) | 3.62747 | − | 2.63551i | 0.336802 | − | 0.244701i | ||||
\(117\) | −2.16342 | + | 0.963215i | −0.200008 | + | 0.0890492i | ||||
\(118\) | 5.77087 | − | 9.99544i | 0.531252 | − | 0.920155i | ||||
\(119\) | 1.16192 | + | 2.01250i | 0.106513 | + | 0.184486i | ||||
\(120\) | −0.809017 | − | 0.587785i | −0.0738528 | − | 0.0536572i | ||||
\(121\) | 9.90279 | + | 2.10490i | 0.900254 | + | 0.191355i | ||||
\(122\) | −1.63642 | + | 5.03639i | −0.148155 | + | 0.455973i | ||||
\(123\) | 0.344506 | 0.0310631 | ||||||||
\(124\) | −5.19487 | − | 2.00334i | −0.466513 | − | 0.179905i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −0.694411 | + | 2.13718i | −0.0618630 | + | 0.190395i | ||||
\(127\) | −1.28770 | − | 0.273709i | −0.114265 | − | 0.0242878i | 0.150424 | − | 0.988622i | \(-0.451936\pi\) |
−0.264689 | + | 0.964334i | \(0.585269\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −0.609256 | − | 1.05526i | −0.0536420 | − | 0.0929107i | ||||
\(130\) | 1.18408 | − | 2.05088i | 0.103850 | − | 0.179874i | ||||
\(131\) | 1.69248 | − | 0.753539i | 0.147872 | − | 0.0658370i | −0.331466 | − | 0.943467i | \(-0.607543\pi\) |
0.479339 | + | 0.877630i | \(0.340877\pi\) | |||||||
\(132\) | −0.757188 | + | 0.550130i | −0.0659048 | + | 0.0478826i | ||||
\(133\) | −14.7914 | − | 6.58555i | −1.28258 | − | 0.571039i | ||||
\(134\) | −2.36724 | + | 0.503173i | −0.204498 | + | 0.0434675i | ||||
\(135\) | −0.104528 | + | 0.994522i | −0.00899638 | + | 0.0855948i | ||||
\(136\) | 0.691962 | + | 0.768502i | 0.0593353 | + | 0.0658985i | ||||
\(137\) | −3.75759 | + | 4.17323i | −0.321033 | + | 0.356543i | −0.881962 | − | 0.471321i | \(-0.843777\pi\) |
0.560929 | + | 0.827864i | \(0.310444\pi\) | |||||||
\(138\) | 0.362964 | + | 3.45337i | 0.0308975 | + | 0.293970i | ||||
\(139\) | 2.82680 | + | 8.70001i | 0.239766 | + | 0.737925i | 0.996453 | + | 0.0841478i | \(0.0268168\pi\) |
−0.756687 | + | 0.653778i | \(0.773183\pi\) | |||||||
\(140\) | −0.694411 | − | 2.13718i | −0.0586884 | − | 0.180624i | ||||
\(141\) | −0.311464 | − | 2.96338i | −0.0262300 | − | 0.249562i | ||||
\(142\) | 3.88954 | − | 4.31977i | 0.326403 | − | 0.362507i | ||||
\(143\) | −1.48309 | − | 1.64714i | −0.124022 | − | 0.137740i | ||||
\(144\) | −0.104528 | + | 0.994522i | −0.00871071 | + | 0.0828768i | ||||
\(145\) | 4.38582 | − | 0.932235i | 0.364222 | − | 0.0774179i | ||||
\(146\) | 9.30526 | + | 4.14297i | 0.770108 | + | 0.342874i | ||||
\(147\) | 1.57780 | − | 1.14634i | 0.130135 | − | 0.0945487i | ||||
\(148\) | 2.69358 | − | 1.19926i | 0.221411 | − | 0.0985785i | ||||
\(149\) | −3.95316 | + | 6.84707i | −0.323855 | + | 0.560934i | −0.981280 | − | 0.192586i | \(-0.938312\pi\) |
0.657425 | + | 0.753520i | \(0.271646\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | −13.0260 | − | 9.46393i | −1.06004 | − | 0.770164i | −0.0859436 | − | 0.996300i | \(-0.527390\pi\) |
−0.974096 | + | 0.226136i | \(0.927390\pi\) | |||||||
\(152\) | −7.04772 | − | 1.49804i | −0.571646 | − | 0.121507i | ||||
\(153\) | 0.319561 | − | 0.983508i | 0.0258350 | − | 0.0795119i | ||||
\(154\) | −2.10320 | −0.169481 | ||||||||
\(155\) | −3.93091 | − | 3.94308i | −0.315739 | − | 0.316716i | ||||
\(156\) | −2.36815 | −0.189604 | ||||||||
\(157\) | 0.477973 | − | 1.47105i | 0.0381464 | − | 0.117403i | −0.930170 | − | 0.367129i | \(-0.880341\pi\) |
0.968316 | + | 0.249726i | \(0.0803407\pi\) | |||||||
\(158\) | 3.44516 | + | 0.732291i | 0.274082 | + | 0.0582579i | ||||
\(159\) | −4.93490 | − | 3.58542i | −0.391363 | − | 0.284342i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −3.90151 | + | 6.75761i | −0.307482 | + | 0.532575i | ||||
\(162\) | 0.913545 | − | 0.406737i | 0.0717749 | − | 0.0319562i | ||||
\(163\) | −9.62849 | + | 6.99551i | −0.754162 | + | 0.547931i | −0.897114 | − | 0.441799i | \(-0.854340\pi\) |
0.142952 | + | 0.989730i | \(0.454340\pi\) | |||||||
\(164\) | 0.314722 | + | 0.140123i | 0.0245757 | + | 0.0109418i | ||||
\(165\) | −0.915484 | + | 0.194592i | −0.0712703 | + | 0.0151490i | ||||
\(166\) | 1.01776 | − | 9.68337i | 0.0789938 | − | 0.751575i | ||||
\(167\) | 0.846559 | + | 0.940199i | 0.0655087 | + | 0.0727548i | 0.775008 | − | 0.631951i | \(-0.217746\pi\) |
−0.709500 | + | 0.704706i | \(0.751079\pi\) | |||||||
\(168\) | −1.50364 | + | 1.66997i | −0.116009 | + | 0.128841i | ||||
\(169\) | 0.772659 | + | 7.35136i | 0.0594353 | + | 0.565489i | ||||
\(170\) | 0.319561 | + | 0.983508i | 0.0245092 | + | 0.0754316i | ||||
\(171\) | 2.22652 | + | 6.85253i | 0.170266 | + | 0.524026i | ||||
\(172\) | −0.127369 | − | 1.21184i | −0.00971182 | − | 0.0924018i | ||||
\(173\) | −4.55119 | + | 5.05461i | −0.346021 | + | 0.384295i | −0.890885 | − | 0.454229i | \(-0.849915\pi\) |
0.544864 | + | 0.838524i | \(0.316581\pi\) | |||||||
\(174\) | −3.00025 | − | 3.33211i | −0.227448 | − | 0.252607i | ||||
\(175\) | 0.234892 | − | 2.23485i | 0.0177562 | − | 0.168939i | ||||
\(176\) | −0.915484 | + | 0.194592i | −0.0690072 | + | 0.0146679i | ||||
\(177\) | −10.5439 | − | 4.69445i | −0.792528 | − | 0.352856i | ||||
\(178\) | −1.59021 | + | 1.15535i | −0.119191 | + | 0.0865973i | ||||
\(179\) | 13.8724 | − | 6.17639i | 1.03687 | − | 0.461645i | 0.183540 | − | 0.983012i | \(-0.441244\pi\) |
0.853333 | + | 0.521367i | \(0.174578\pi\) | |||||||
\(180\) | −0.500000 | + | 0.866025i | −0.0372678 | + | 0.0645497i | ||||
\(181\) | −12.1888 | − | 21.1116i | −0.905986 | − | 1.56921i | −0.819589 | − | 0.572952i | \(-0.805798\pi\) |
−0.0863970 | − | 0.996261i | \(-0.527535\pi\) | |||||||
\(182\) | −4.30528 | − | 3.12797i | −0.319129 | − | 0.231860i | ||||
\(183\) | 5.17985 | + | 1.10101i | 0.382905 | + | 0.0813891i | ||||
\(184\) | −1.07303 | + | 3.30244i | −0.0791047 | + | 0.243459i | ||||
\(185\) | 2.94849 | 0.216777 | ||||||||
\(186\) | −1.44935 | + | 5.37581i | −0.106272 | + | 0.394174i | ||||
\(187\) | 0.967872 | 0.0707778 | ||||||||
\(188\) | 0.920779 | − | 2.83387i | 0.0671547 | − | 0.206681i | ||||
\(189\) | 2.19805 | + | 0.467211i | 0.159885 | + | 0.0339846i | ||||
\(190\) | −5.82911 | − | 4.23510i | −0.422888 | − | 0.307246i | ||||
\(191\) | −2.68206 | − | 4.64547i | −0.194067 | − | 0.336134i | 0.752527 | − | 0.658561i | \(-0.228835\pi\) |
−0.946594 | + | 0.322427i | \(0.895501\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −6.88889 | + | 3.06713i | −0.495873 | + | 0.220777i | −0.639407 | − | 0.768868i | \(-0.720820\pi\) |
0.143534 | + | 0.989645i | \(0.454153\pi\) | |||||||
\(194\) | −13.1974 | + | 9.58848i | −0.947519 | + | 0.688413i | ||||
\(195\) | −2.16342 | − | 0.963215i | −0.154925 | − | 0.0689772i | ||||
\(196\) | 1.90766 | − | 0.405485i | 0.136261 | − | 0.0289632i | ||||
\(197\) | 2.59257 | − | 24.6666i | 0.184713 | − | 1.75742i | −0.373410 | − | 0.927666i | \(-0.621812\pi\) |
0.558123 | − | 0.829758i | \(-0.311522\pi\) | |||||||
\(198\) | 0.626264 | + | 0.695536i | 0.0445066 | + | 0.0494296i | ||||
\(199\) | −14.9707 | + | 16.6267i | −1.06125 | + | 1.17863i | −0.0778859 | + | 0.996962i | \(0.524817\pi\) |
−0.983360 | + | 0.181670i | \(0.941850\pi\) | |||||||
\(200\) | −0.104528 | − | 0.994522i | −0.00739128 | − | 0.0703233i | ||||
\(201\) | 0.747860 | + | 2.30168i | 0.0527500 | + | 0.162348i | ||||
\(202\) | 1.53541 | + | 4.72550i | 0.108031 | + | 0.332485i | ||||
\(203\) | −1.05321 | − | 10.0206i | −0.0739208 | − | 0.703310i | ||||
\(204\) | 0.691962 | − | 0.768502i | 0.0484471 | − | 0.0538059i | ||||
\(205\) | 0.230520 | + | 0.256018i | 0.0161002 | + | 0.0178811i | ||||
\(206\) | −1.87334 | + | 17.8237i | −0.130522 | + | 1.24183i | ||||
\(207\) | 3.39651 | − | 0.721951i | 0.236074 | − | 0.0501791i | ||||
\(208\) | −2.16342 | − | 0.963215i | −0.150006 | − | 0.0667869i | ||||
\(209\) | −5.45568 | + | 3.96378i | −0.377377 | + | 0.274180i | ||||
\(210\) | −2.05288 | + | 0.914002i | −0.141662 | + | 0.0630721i | ||||
\(211\) | 4.85234 | − | 8.40450i | 0.334049 | − | 0.578589i | −0.649253 | − | 0.760573i | \(-0.724918\pi\) |
0.983302 | + | 0.181983i | \(0.0582517\pi\) | |||||||
\(212\) | −3.04994 | − | 5.28265i | −0.209471 | − | 0.362814i | ||||
\(213\) | −4.70268 | − | 3.41669i | −0.322222 | − | 0.234108i | ||||
\(214\) | −0.565317 | − | 0.120162i | −0.0386443 | − | 0.00821410i | ||||
\(215\) | 0.376541 | − | 1.15887i | 0.0256799 | − | 0.0790346i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −9.73554 | + | 7.85880i | −0.660891 | + | 0.533490i | ||||
\(218\) | 18.0157 | 1.22018 | ||||||||
\(219\) | 3.14761 | − | 9.68734i | 0.212696 | − | 0.654610i | ||||
\(220\) | −0.915484 | − | 0.194592i | −0.0617219 | − | 0.0131194i | ||||
\(221\) | 1.98125 | + | 1.43946i | 0.133273 | + | 0.0968287i | ||||
\(222\) | −1.47425 | − | 2.55347i | −0.0989449 | − | 0.171378i | ||||
\(223\) | −1.57698 | + | 2.73141i | −0.105603 | + | 0.182909i | −0.913984 | − | 0.405750i | \(-0.867010\pi\) |
0.808382 | + | 0.588659i | \(0.200344\pi\) | |||||||
\(224\) | −2.05288 | + | 0.914002i | −0.137164 | + | 0.0610693i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | 8.25634 | + | 3.67596i | 0.549204 | + | 0.244521i | ||||
\(227\) | −3.57553 | + | 0.760003i | −0.237316 | + | 0.0504432i | −0.325034 | − | 0.945702i | \(-0.605376\pi\) |
0.0877180 | + | 0.996145i | \(0.472043\pi\) | |||||||
\(228\) | −0.753146 | + | 7.16570i | −0.0498783 | + | 0.474560i | ||||
\(229\) | −0.970612 | − | 1.07797i | −0.0641398 | − | 0.0712345i | 0.710221 | − | 0.703979i | \(-0.248595\pi\) |
−0.774361 | + | 0.632744i | \(0.781928\pi\) | |||||||
\(230\) | −2.32348 | + | 2.58049i | −0.153206 | + | 0.170153i | ||||
\(231\) | 0.219844 | + | 2.09168i | 0.0144647 | + | 0.137622i | ||||
\(232\) | −1.38557 | − | 4.26435i | −0.0909672 | − | 0.279968i | ||||
\(233\) | −1.48627 | − | 4.57428i | −0.0973690 | − | 0.299671i | 0.890495 | − | 0.454993i | \(-0.150358\pi\) |
−0.987864 | + | 0.155322i | \(0.950358\pi\) | |||||||
\(234\) | 0.247539 | + | 2.35518i | 0.0161822 | + | 0.153963i | ||||
\(235\) | 1.99381 | − | 2.21435i | 0.130062 | − | 0.144448i | ||||
\(236\) | −7.72293 | − | 8.57718i | −0.502720 | − | 0.558327i | ||||
\(237\) | 0.368162 | − | 3.50283i | 0.0239147 | − | 0.227533i | ||||
\(238\) | 2.27305 | − | 0.483153i | 0.147340 | − | 0.0313181i | ||||
\(239\) | 19.5418 | + | 8.70058i | 1.26406 | + | 0.562794i | 0.925712 | − | 0.378228i | \(-0.123467\pi\) |
0.338344 | + | 0.941023i | \(0.390133\pi\) | |||||||
\(240\) | −0.809017 | + | 0.587785i | −0.0522218 | + | 0.0379414i | ||||
\(241\) | 9.50861 | − | 4.23351i | 0.612503 | − | 0.272704i | −0.0769490 | − | 0.997035i | \(-0.524518\pi\) |
0.689452 | + | 0.724331i | \(0.257851\pi\) | |||||||
\(242\) | 5.06201 | − | 8.76766i | 0.325398 | − | 0.563607i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 4.28421 | + | 3.11266i | 0.274268 | + | 0.199268i | ||||
\(245\) | 1.90766 | + | 0.405485i | 0.121876 | + | 0.0259055i | ||||
\(246\) | 0.106458 | − | 0.327645i | 0.00678753 | − | 0.0208899i | ||||
\(247\) | −17.0630 | −1.08569 | ||||||||
\(248\) | −3.51059 | + | 4.32155i | −0.222923 | + | 0.274418i | ||||
\(249\) | −9.73671 | −0.617039 | ||||||||
\(250\) | 0.309017 | − | 0.951057i | 0.0195440 | − | 0.0601501i | ||||
\(251\) | 10.6834 | + | 2.27083i | 0.674330 | + | 0.143333i | 0.532334 | − | 0.846534i | \(-0.321315\pi\) |
0.141995 | + | 0.989867i | \(0.454648\pi\) | |||||||
\(252\) | 1.81799 | + | 1.32085i | 0.114523 | + | 0.0832056i | ||||
\(253\) | 1.62497 | + | 2.81453i | 0.102161 | + | 0.176948i | ||||
\(254\) | −0.658235 | + | 1.14010i | −0.0413013 | + | 0.0715360i | ||||
\(255\) | 0.944717 | − | 0.420615i | 0.0591605 | − | 0.0263399i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 10.8912 | + | 4.84907i | 0.679373 | + | 0.302476i | 0.717260 | − | 0.696806i | \(-0.245396\pi\) |
−0.0378868 | + | 0.999282i | \(0.512063\pi\) | |||||||
\(258\) | −1.19189 | + | 0.253343i | −0.0742035 | + | 0.0157724i | ||||
\(259\) | 0.692578 | − | 6.58944i | 0.0430347 | − | 0.409448i | ||||
\(260\) | −1.58460 | − | 1.75988i | −0.0982730 | − | 0.109143i | ||||
\(261\) | −3.00025 | + | 3.33211i | −0.185711 | + | 0.206253i | ||||
\(262\) | −0.193654 | − | 1.84250i | −0.0119640 | − | 0.113830i | ||||
\(263\) | 1.77835 | + | 5.47320i | 0.109658 | + | 0.337492i | 0.990795 | − | 0.135368i | \(-0.0432217\pi\) |
−0.881138 | + | 0.472860i | \(0.843222\pi\) | |||||||
\(264\) | 0.289220 | + | 0.890128i | 0.0178003 | + | 0.0547836i | ||||
\(265\) | −0.637611 | − | 6.06646i | −0.0391681 | − | 0.372660i | ||||
\(266\) | −10.8340 | + | 12.0324i | −0.664276 | + | 0.737753i | ||||
\(267\) | 1.31524 | + | 1.46073i | 0.0804917 | + | 0.0893951i | ||||
\(268\) | −0.252972 | + | 2.40687i | −0.0154527 | + | 0.147023i | ||||
\(269\) | −16.4185 | + | 3.48985i | −1.00105 | + | 0.212780i | −0.679155 | − | 0.733995i | \(-0.737654\pi\) |
−0.321897 | + | 0.946775i | \(0.604320\pi\) | |||||||
\(270\) | 0.913545 | + | 0.406737i | 0.0555966 | + | 0.0247532i | ||||
\(271\) | −15.7544 | + | 11.4463i | −0.957013 | + | 0.695311i | −0.952455 | − | 0.304679i | \(-0.901451\pi\) |
−0.00455800 | + | 0.999990i | \(0.501451\pi\) | |||||||
\(272\) | 0.944717 | − | 0.420615i | 0.0572819 | − | 0.0255035i | ||||
\(273\) | −2.66081 | + | 4.60866i | −0.161040 | + | 0.278929i | ||||
\(274\) | 2.80782 | + | 4.86328i | 0.169626 | + | 0.293801i | ||||
\(275\) | −0.757188 | − | 0.550130i | −0.0456602 | − | 0.0331741i | ||||
\(276\) | 3.39651 | + | 0.721951i | 0.204446 | + | 0.0434563i | ||||
\(277\) | 2.92426 | − | 8.99994i | 0.175702 | − | 0.540754i | −0.823963 | − | 0.566643i | \(-0.808242\pi\) |
0.999665 | + | 0.0258895i | \(0.00824179\pi\) | |||||||
\(278\) | 9.14773 | 0.548645 | ||||||||
\(279\) | 5.49786 | + | 0.879488i | 0.329148 | + | 0.0526536i | ||||
\(280\) | −2.24716 | −0.134293 | ||||||||
\(281\) | −5.27860 | + | 16.2459i | −0.314895 | + | 0.969148i | 0.660902 | + | 0.750472i | \(0.270174\pi\) |
−0.975798 | + | 0.218676i | \(0.929826\pi\) | |||||||
\(282\) | −2.91459 | − | 0.619515i | −0.173561 | − | 0.0368916i | ||||
\(283\) | 0.359892 | + | 0.261477i | 0.0213934 | + | 0.0155432i | 0.598431 | − | 0.801175i | \(-0.295791\pi\) |
−0.577037 | + | 0.816718i | \(0.695791\pi\) | |||||||
\(284\) | −2.90641 | − | 5.03406i | −0.172464 | − | 0.298716i | ||||
\(285\) | −3.60259 | + | 6.23986i | −0.213399 | + | 0.369618i | ||||
\(286\) | −2.02482 | + | 0.901508i | −0.119730 | + | 0.0533073i | ||||
\(287\) | 0.626309 | − | 0.455040i | 0.0369699 | − | 0.0268602i | ||||
\(288\) | 0.913545 | + | 0.406737i | 0.0538312 | + | 0.0239672i | ||||
\(289\) | 15.5825 | − | 3.31216i | 0.916616 | − | 0.194833i | ||||
\(290\) | 0.468685 | − | 4.45924i | 0.0275221 | − | 0.261855i | ||||
\(291\) | 10.9155 | + | 12.1228i | 0.639875 | + | 0.710654i | ||||
\(292\) | 6.81568 | − | 7.56958i | 0.398857 | − | 0.442976i | ||||
\(293\) | 2.45647 | + | 23.3718i | 0.143509 | + | 1.36539i | 0.794941 | + | 0.606687i | \(0.207502\pi\) |
−0.651432 | + | 0.758707i | \(0.725832\pi\) | |||||||
\(294\) | −0.602668 | − | 1.85482i | −0.0351483 | − | 0.108175i | ||||
\(295\) | −3.56659 | − | 10.9768i | −0.207655 | − | 0.639097i | ||||
\(296\) | −0.308201 | − | 2.93234i | −0.0179138 | − | 0.170439i | ||||
\(297\) | 0.626264 | − | 0.695536i | 0.0363395 | − | 0.0403591i | ||||
\(298\) | 5.29036 | + | 5.87554i | 0.306462 | + | 0.340361i | ||||
\(299\) | −0.859554 | + | 8.17811i | −0.0497093 | + | 0.472952i | ||||
\(300\) | −0.978148 | + | 0.207912i | −0.0564734 | + | 0.0120038i | ||||
\(301\) | −2.50146 | − | 1.11372i | −0.144182 | − | 0.0641939i | ||||
\(302\) | −13.0260 | + | 9.46393i | −0.749561 | + | 0.544588i | ||||
\(303\) | 4.53912 | − | 2.02095i | 0.260766 | − | 0.116100i | ||||
\(304\) | −3.60259 | + | 6.23986i | −0.206623 | + | 0.357881i | ||||
\(305\) | 2.64778 | + | 4.58610i | 0.151612 | + | 0.262599i | ||||
\(306\) | −0.836622 | − | 0.607841i | −0.0478265 | − | 0.0347480i | ||||
\(307\) | 14.2764 | + | 3.03454i | 0.814797 | + | 0.173190i | 0.596418 | − | 0.802674i | \(-0.296590\pi\) |
0.218379 | + | 0.975864i | \(0.429923\pi\) | |||||||
\(308\) | −0.649924 | + | 2.00026i | −0.0370329 | + | 0.113975i | ||||
\(309\) | 17.9219 | 1.01954 | ||||||||
\(310\) | −4.96481 | + | 2.52004i | −0.281983 | + | 0.143129i | ||||
\(311\) | −12.4384 | −0.705319 | −0.352660 | − | 0.935752i | \(-0.614723\pi\) | ||||
−0.352660 | + | 0.935752i | \(0.614723\pi\) | |||||||
\(312\) | −0.731800 | + | 2.25225i | −0.0414300 | + | 0.127508i | ||||
\(313\) | −8.93812 | − | 1.89986i | −0.505212 | − | 0.107386i | −0.0517472 | − | 0.998660i | \(-0.516479\pi\) |
−0.453465 | + | 0.891274i | \(0.649812\pi\) | |||||||
\(314\) | −1.25135 | − | 0.909159i | −0.0706178 | − | 0.0513068i | ||||
\(315\) | 1.12358 | + | 1.94610i | 0.0633066 | + | 0.109650i | ||||
\(316\) | 1.76106 | − | 3.05025i | 0.0990674 | − | 0.171590i | ||||
\(317\) | 4.57544 | − | 2.03712i | 0.256982 | − | 0.114416i | −0.274202 | − | 0.961672i | \(-0.588414\pi\) |
0.531184 | + | 0.847256i | \(0.321747\pi\) | |||||||
\(318\) | −4.93490 | + | 3.58542i | −0.276736 | + | 0.201060i | ||||
\(319\) | −3.83374 | − | 1.70689i | −0.214648 | − | 0.0955676i | ||||
\(320\) | −0.978148 | + | 0.207912i | −0.0546801 | + | 0.0116226i | ||||
\(321\) | −0.0604119 | + | 0.574781i | −0.00337186 | + | 0.0320811i | ||||
\(322\) | 5.22124 | + | 5.79877i | 0.290968 | + | 0.323153i | ||||
\(323\) | 4.98571 | − | 5.53719i | 0.277412 | − | 0.308098i | ||||
\(324\) | −0.104528 | − | 0.994522i | −0.00580714 | − | 0.0552512i | ||||
\(325\) | −0.731800 | − | 2.25225i | −0.0405929 | − | 0.124932i | ||||
\(326\) | 3.67776 | + | 11.3190i | 0.203692 | + | 0.626900i | ||||
\(327\) | −1.88315 | − | 17.9170i | −0.104139 | − | 0.990812i | ||||
\(328\) | 0.230520 | − | 0.256018i | 0.0127283 | − | 0.0141362i | ||||
\(329\) | −4.48041 | − | 4.97600i | −0.247013 | − | 0.274336i | ||||
\(330\) | −0.0978320 | + | 0.930809i | −0.00538547 | + | 0.0512394i | ||||
\(331\) | 16.6242 | − | 3.53357i | 0.913746 | − | 0.194223i | 0.273034 | − | 0.962004i | \(-0.411973\pi\) |
0.640712 | + | 0.767782i | \(0.278639\pi\) | |||||||
\(332\) | −8.89493 | − | 3.96028i | −0.488173 | − | 0.217348i | ||||
\(333\) | −2.38538 | + | 1.73308i | −0.130718 | + | 0.0949722i | ||||
\(334\) | 1.15578 | − | 0.514588i | 0.0632417 | − | 0.0281570i | ||||
\(335\) | −1.21006 | + | 2.09589i | −0.0661128 | + | 0.114511i | ||||
\(336\) | 1.12358 | + | 1.94610i | 0.0612963 | + | 0.106168i | ||||
\(337\) | 10.9061 | + | 7.92377i | 0.594095 | + | 0.431635i | 0.843778 | − | 0.536693i | \(-0.180326\pi\) |
−0.249683 | + | 0.968328i | \(0.580326\pi\) | |||||||
\(338\) | 7.23032 | + | 1.53685i | 0.393278 | + | 0.0835937i | ||||
\(339\) | 2.79280 | − | 8.59535i | 0.151684 | − | 0.466836i | ||||
\(340\) | 1.03412 | 0.0560831 | ||||||||
\(341\) | 0.807236 | + | 5.14817i | 0.0437143 | + | 0.278789i | ||||
\(342\) | 7.20518 | 0.389611 | ||||||||
\(343\) | 6.21516 | − | 19.1283i | 0.335587 | − | 1.03283i | ||||
\(344\) | −1.19189 | − | 0.253343i | −0.0642621 | − | 0.0136593i | ||||
\(345\) | 2.80922 | + | 2.04102i | 0.151244 | + | 0.109885i | ||||
\(346\) | 3.40083 | + | 5.89040i | 0.182830 | + | 0.316670i | ||||
\(347\) | 12.1934 | − | 21.1196i | 0.654577 | − | 1.13376i | −0.327423 | − | 0.944878i | \(-0.606180\pi\) |
0.982000 | − | 0.188883i | \(-0.0604865\pi\) | |||||||
\(348\) | −4.09616 | + | 1.82373i | −0.219577 | + | 0.0977620i | ||||
\(349\) | 4.00680 | − | 2.91111i | 0.214479 | − | 0.155828i | −0.475359 | − | 0.879792i | \(-0.657682\pi\) |
0.689838 | + | 0.723964i | \(0.257682\pi\) | |||||||
\(350\) | −2.05288 | − | 0.914002i | −0.109731 | − | 0.0488555i | ||||
\(351\) | 2.31640 | − | 0.492367i | 0.123640 | − | 0.0262806i | ||||
\(352\) | −0.0978320 | + | 0.930809i | −0.00521446 | + | 0.0496123i | ||||
\(353\) | −23.3727 | − | 25.9580i | −1.24400 | − | 1.38160i | −0.895966 | − | 0.444123i | \(-0.853515\pi\) |
−0.348037 | − | 0.937481i | \(-0.613152\pi\) | |||||||
\(354\) | −7.72293 | + | 8.57718i | −0.410469 | + | 0.455872i | ||||
\(355\) | −0.607606 | − | 5.78098i | −0.0322484 | − | 0.306823i | ||||
\(356\) | 0.607405 | + | 1.86940i | 0.0321924 | + | 0.0990779i | ||||
\(357\) | −0.718105 | − | 2.21010i | −0.0380061 | − | 0.116971i | ||||
\(358\) | −1.58729 | − | 15.1021i | −0.0838909 | − | 0.798168i | ||||
\(359\) | 14.7651 | − | 16.3982i | 0.779270 | − | 0.865467i | −0.214523 | − | 0.976719i | \(-0.568820\pi\) |
0.993792 | + | 0.111253i | \(0.0354862\pi\) | |||||||
\(360\) | 0.669131 | + | 0.743145i | 0.0352663 | + | 0.0391672i | ||||
\(361\) | −3.44051 | + | 32.7342i | −0.181079 | + | 1.72285i | ||||
\(362\) | −23.8449 | + | 5.06838i | −1.25326 | + | 0.266388i | ||||
\(363\) | −9.24876 | − | 4.11781i | −0.485434 | − | 0.216129i | ||||
\(364\) | −4.30528 | + | 3.12797i | −0.225658 | + | 0.163950i | ||||
\(365\) | 9.30526 | − | 4.14297i | 0.487059 | − | 0.216853i | ||||
\(366\) | 2.64778 | − | 4.58610i | 0.138402 | − | 0.239719i | ||||
\(367\) | −1.38471 | − | 2.39840i | −0.0722815 | − | 0.125195i | 0.827619 | − | 0.561290i | \(-0.189695\pi\) |
−0.899901 | + | 0.436095i | \(0.856361\pi\) | |||||||
\(368\) | 2.80922 | + | 2.04102i | 0.146441 | + | 0.106396i | ||||
\(369\) | −0.336978 | − | 0.0716269i | −0.0175424 | − | 0.00372875i | ||||
\(370\) | 0.911134 | − | 2.80418i | 0.0473676 | − | 0.145783i | ||||
\(371\) | −13.7074 | −0.711652 | ||||||||
\(372\) | 4.66483 | + | 3.03963i | 0.241860 | + | 0.157598i | ||||
\(373\) | 26.1604 | 1.35453 | 0.677266 | − | 0.735738i | \(-0.263164\pi\) | ||||
0.677266 | + | 0.735738i | \(0.263164\pi\) | |||||||
\(374\) | 0.299089 | − | 0.920501i | 0.0154655 | − | 0.0475980i | ||||
\(375\) | −0.978148 | − | 0.207912i | −0.0505113 | − | 0.0107365i | ||||
\(376\) | −2.41063 | − | 1.75143i | −0.124319 | − | 0.0903229i | ||||
\(377\) | −5.30916 | − | 9.19574i | −0.273436 | − | 0.473605i | ||||
\(378\) | 1.12358 | − | 1.94610i | 0.0577907 | − | 0.100096i | ||||
\(379\) | 13.0085 | − | 5.79178i | 0.668204 | − | 0.297504i | −0.0444578 | − | 0.999011i | \(-0.514156\pi\) |
0.712662 | + | 0.701508i | \(0.247489\pi\) | |||||||
\(380\) | −5.82911 | + | 4.23510i | −0.299027 | + | 0.217256i | ||||
\(381\) | 1.20265 | + | 0.535456i | 0.0616138 | + | 0.0274323i | ||||
\(382\) | −5.24690 | + | 1.11526i | −0.268455 | + | 0.0570618i | ||||
\(383\) | 0.629391 | − | 5.98825i | 0.0321604 | − | 0.305985i | −0.966603 | − | 0.256277i | \(-0.917504\pi\) |
0.998764 | − | 0.0497085i | \(-0.0158292\pi\) | |||||||
\(384\) | 0.669131 | + | 0.743145i | 0.0341464 | + | 0.0379235i | ||||
\(385\) | −1.40731 | + | 1.56298i | −0.0717234 | + | 0.0796569i | ||||
\(386\) | 0.788232 | + | 7.49952i | 0.0401199 | + | 0.381716i | ||||
\(387\) | 0.376541 | + | 1.15887i | 0.0191407 | + | 0.0589089i | ||||
\(388\) | 5.04096 | + | 15.5145i | 0.255916 | + | 0.787629i | ||||
\(389\) | −2.34401 | − | 22.3018i | −0.118846 | − | 1.13075i | −0.877608 | − | 0.479378i | \(-0.840862\pi\) |
0.758762 | − | 0.651368i | \(-0.225804\pi\) | |||||||
\(390\) | −1.58460 | + | 1.75988i | −0.0802395 | + | 0.0891150i | ||||
\(391\) | −2.40277 | − | 2.66854i | −0.121513 | − | 0.134954i | ||||
\(392\) | 0.203859 | − | 1.93959i | 0.0102964 | − | 0.0979641i | ||||
\(393\) | −1.81216 | + | 0.385187i | −0.0914114 | + | 0.0194301i | ||||
\(394\) | −22.6582 | − | 10.0881i | −1.14150 | − | 0.508230i | ||||
\(395\) | 2.84946 | − | 2.07025i | 0.143372 | − | 0.104166i | ||||
\(396\) | 0.855020 | − | 0.380680i | 0.0429664 | − | 0.0191299i | ||||
\(397\) | 2.68504 | − | 4.65063i | 0.134758 | − | 0.233408i | −0.790747 | − | 0.612143i | \(-0.790308\pi\) |
0.925505 | + | 0.378735i | \(0.123641\pi\) | |||||||
\(398\) | 11.1867 | + | 19.3759i | 0.560738 | + | 0.971227i | ||||
\(399\) | 13.0989 | + | 9.51694i | 0.655767 | + | 0.476443i | ||||
\(400\) | −0.978148 | − | 0.207912i | −0.0489074 | − | 0.0103956i | ||||
\(401\) | −4.40779 | + | 13.5658i | −0.220115 | + | 0.677443i | 0.778636 | + | 0.627476i | \(0.215912\pi\) |
−0.998751 | + | 0.0499674i | \(0.984088\pi\) | |||||||
\(402\) | 2.42013 | 0.120705 | ||||||||
\(403\) | −6.00416 | + | 11.7389i | −0.299088 | + | 0.584758i | ||||
\(404\) | 4.96868 | 0.247201 | ||||||||
\(405\) | 0.309017 | − | 0.951057i | 0.0153552 | − | 0.0472584i | ||||
\(406\) | −9.85563 | − | 2.09488i | −0.489127 | − | 0.103967i | ||||
\(407\) | −2.23256 | − | 1.62205i | −0.110664 | − | 0.0804022i | ||||
\(408\) | −0.517061 | − | 0.895576i | −0.0255983 | − | 0.0443376i | ||||
\(409\) | 9.81332 | − | 16.9972i | 0.485237 | − | 0.840456i | −0.514619 | − | 0.857419i | \(-0.672066\pi\) |
0.999856 | + | 0.0169632i | \(0.00539981\pi\) | |||||||
\(410\) | 0.314722 | − | 0.140123i | 0.0155430 | − | 0.00692020i | ||||
\(411\) | 4.54314 | − | 3.30079i | 0.224097 | − | 0.162816i | ||||
\(412\) | 16.3724 | + | 7.28948i | 0.806612 | + | 0.359127i | ||||
\(413\) | −25.3694 | + | 5.39242i | −1.24834 | + | 0.265344i | ||||
\(414\) | 0.362964 | − | 3.45337i | 0.0178387 | − | 0.169724i | ||||
\(415\) | −6.51513 | − | 7.23579i | −0.319815 | − | 0.355191i | ||||
\(416\) | −1.58460 | + | 1.75988i | −0.0776916 | + | 0.0862853i | ||||
\(417\) | −0.956198 | − | 9.09762i | −0.0468252 | − | 0.445512i | ||||
\(418\) | 2.08388 | + | 6.41353i | 0.101926 | + | 0.313696i | ||||
\(419\) | 4.30977 | + | 13.2641i | 0.210546 | + | 0.647994i | 0.999440 | + | 0.0334645i | \(0.0106541\pi\) |
−0.788894 | + | 0.614529i | \(0.789346\pi\) | |||||||
\(420\) | 0.234892 | + | 2.23485i | 0.0114616 | + | 0.109049i | ||||
\(421\) | 14.4927 | − | 16.0958i | 0.706330 | − | 0.784459i | −0.278040 | − | 0.960569i | \(-0.589685\pi\) |
0.984370 | + | 0.176110i | \(0.0563516\pi\) | |||||||
\(422\) | −6.49370 | − | 7.21198i | −0.316108 | − | 0.351074i | ||||
\(423\) | −0.311464 | + | 2.96338i | −0.0151439 | + | 0.144084i | ||||
\(424\) | −5.96658 | + | 1.26824i | −0.289763 | + | 0.0615910i | ||||
\(425\) | 0.944717 | + | 0.420615i | 0.0458255 | + | 0.0204028i | ||||
\(426\) | −4.70268 | + | 3.41669i | −0.227845 | + | 0.165539i | ||||
\(427\) | 10.8712 | − | 4.84016i | 0.526093 | − | 0.234232i | ||||
\(428\) | −0.288973 | + | 0.500516i | −0.0139681 | + | 0.0241934i | ||||
\(429\) | 1.10822 | + | 1.91949i | 0.0535054 | + | 0.0926741i | ||||
\(430\) | −0.985798 | − | 0.716224i | −0.0475394 | − | 0.0345394i | ||||
\(431\) | 22.3931 | + | 4.75981i | 1.07864 | + | 0.229272i | 0.712772 | − | 0.701396i | \(-0.247439\pi\) |
0.365867 | + | 0.930667i | \(0.380773\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | −0.348812 | −0.0167628 | −0.00838142 | − | 0.999965i | \(-0.502668\pi\) | ||||
−0.00838142 | + | 0.999965i | \(0.502668\pi\) | |||||||
\(434\) | 4.46572 | + | 11.6876i | 0.214361 | + | 0.561020i | ||||
\(435\) | −4.48380 | −0.214982 | ||||||||
\(436\) | 5.56715 | − | 17.1339i | 0.266618 | − | 0.820567i | ||||
\(437\) | 24.4725 | + | 5.20178i | 1.17068 | + | 0.248835i | ||||
\(438\) | −8.24054 | − | 5.98710i | −0.393748 | − | 0.286075i | ||||
\(439\) | −4.71032 | − | 8.15851i | −0.224811 | − | 0.389384i | 0.731452 | − | 0.681893i | \(-0.238843\pi\) |
−0.956263 | + | 0.292509i | \(0.905510\pi\) | |||||||
\(440\) | −0.467968 | + | 0.810545i | −0.0223095 | + | 0.0386412i | ||||
\(441\) | −1.78166 | + | 0.793248i | −0.0848411 | + | 0.0377737i | ||||
\(442\) | 1.98125 | − | 1.43946i | 0.0942384 | − | 0.0684682i | ||||
\(443\) | 14.4447 | + | 6.43118i | 0.686287 | + | 0.305555i | 0.720097 | − | 0.693874i | \(-0.244097\pi\) |
−0.0338097 | + | 0.999428i | \(0.510764\pi\) | |||||||
\(444\) | −2.88406 | + | 0.613026i | −0.136871 | + | 0.0290929i | ||||
\(445\) | −0.205461 | + | 1.95483i | −0.00973980 | + | 0.0926680i | ||||
\(446\) | 2.11041 | + | 2.34385i | 0.0999310 | + | 0.110985i | ||||
\(447\) | 5.29036 | − | 5.87554i | 0.250225 | − | 0.277904i | ||||
\(448\) | 0.234892 | + | 2.23485i | 0.0110976 | + | 0.105587i | ||||
\(449\) | −3.09746 | − | 9.53300i | −0.146178 | − | 0.449890i | 0.850982 | − | 0.525194i | \(-0.176007\pi\) |
−0.997161 | + | 0.0753040i | \(0.976007\pi\) | |||||||
\(450\) | 0.309017 | + | 0.951057i | 0.0145672 | + | 0.0448332i | ||||
\(451\) | −0.0337037 | − | 0.320670i | −0.00158705 | − | 0.0150997i | ||||
\(452\) | 6.04739 | − | 6.71631i | 0.284446 | − | 0.315909i | ||||
\(453\) | 10.7737 | + | 11.9654i | 0.506191 | + | 0.562182i | ||||
\(454\) | −0.382095 | + | 3.63539i | −0.0179326 | + | 0.170617i | ||||
\(455\) | −5.20533 | + | 1.10643i | −0.244030 | + | 0.0518701i | ||||
\(456\) | 6.58226 | + | 2.93061i | 0.308242 | + | 0.137238i | ||||
\(457\) | −24.1090 | + | 17.5162i | −1.12777 | + | 0.819375i | −0.985369 | − | 0.170434i | \(-0.945483\pi\) |
−0.142404 | + | 0.989809i | \(0.545483\pi\) | |||||||
\(458\) | −1.32515 | + | 0.589995i | −0.0619202 | + | 0.0275686i | ||||
\(459\) | −0.517061 | + | 0.895576i | −0.0241343 | + | 0.0418019i | ||||
\(460\) | 1.73620 | + | 3.00718i | 0.0809506 | + | 0.140210i | ||||
\(461\) | −17.8241 | − | 12.9500i | −0.830151 | − | 0.603140i | 0.0894509 | − | 0.995991i | \(-0.471489\pi\) |
−0.919602 | + | 0.392851i | \(0.871489\pi\) | |||||||
\(462\) | 2.05724 | + | 0.437280i | 0.0957114 | + | 0.0203441i | ||||
\(463\) | 5.24705 | − | 16.1488i | 0.243851 | − | 0.750497i | −0.751972 | − | 0.659195i | \(-0.770897\pi\) |
0.995823 | − | 0.0913018i | \(-0.0291028\pi\) | |||||||
\(464\) | −4.48380 | −0.208155 | ||||||||
\(465\) | 3.02520 | + | 4.67420i | 0.140290 | + | 0.216761i | ||||
\(466\) | −4.80968 | −0.222804 | ||||||||
\(467\) | 12.9386 | − | 39.8211i | 0.598729 | − | 1.84270i | 0.0635171 | − | 0.997981i | \(-0.479768\pi\) |
0.535212 | − | 0.844718i | \(-0.320232\pi\) | |||||||
\(468\) | 2.31640 | + | 0.492367i | 0.107076 | + | 0.0227597i | ||||
\(469\) | 4.39977 | + | 3.19662i | 0.203162 | + | 0.147606i | ||||
\(470\) | −1.48985 | − | 2.58050i | −0.0687217 | − | 0.119029i | ||||
\(471\) | −0.773377 | + | 1.33953i | −0.0356353 | + | 0.0617222i | ||||
\(472\) | −10.5439 | + | 4.69445i | −0.485322 | + | 0.216079i | ||||
\(473\) | −0.922644 | + | 0.670340i | −0.0424232 | + | 0.0308223i | ||||
\(474\) | −3.21762 | − | 1.43258i | −0.147790 | − | 0.0658004i | ||||
\(475\) | −7.04772 | + | 1.49804i | −0.323372 | + | 0.0687348i | ||||
\(476\) | 0.242907 | − | 2.31111i | 0.0111336 | − | 0.105929i | ||||
\(477\) | 4.08161 | + | 4.53309i | 0.186884 | + | 0.207556i | ||||
\(478\) | 14.3135 | − | 15.8968i | 0.654685 | − | 0.727101i | ||||
\(479\) | 1.47402 | + | 14.0244i | 0.0673498 | + | 0.640791i | 0.975174 | + | 0.221440i | \(0.0710756\pi\) |
−0.907824 | + | 0.419351i | \(0.862258\pi\) | |||||||
\(480\) | 0.309017 | + | 0.951057i | 0.0141046 | + | 0.0434096i | ||||
\(481\) | −2.15771 | − | 6.64073i | −0.0983829 | − | 0.302791i | ||||
\(482\) | −1.08798 | − | 10.3515i | −0.0495562 | − | 0.471496i | ||||
\(483\) | 5.22124 | − | 5.79877i | 0.237575 | − | 0.263853i | ||||
\(484\) | −6.77429 | − | 7.52362i | −0.307922 | − | 0.341983i | ||||
\(485\) | −1.70516 | + | 16.2235i | −0.0774274 | + | 0.736673i | ||||
\(486\) | −0.978148 | + | 0.207912i | −0.0443697 | + | 0.00943107i | ||||
\(487\) | 23.8982 | + | 10.6401i | 1.08293 | + | 0.482151i | 0.869058 | − | 0.494711i | \(-0.164726\pi\) |
0.213872 | + | 0.976862i | \(0.431393\pi\) | |||||||
\(488\) | 4.28421 | − | 3.11266i | 0.193937 | − | 0.140903i | ||||
\(489\) | 10.8725 | − | 4.84076i | 0.491673 | − | 0.218907i | ||||
\(490\) | 0.975137 | − | 1.68899i | 0.0440522 | − | 0.0763006i | ||||
\(491\) | −15.3256 | − | 26.5448i | −0.691636 | − | 1.19795i | −0.971302 | − | 0.237851i | \(-0.923557\pi\) |
0.279666 | − | 0.960097i | \(-0.409776\pi\) | |||||||
\(492\) | −0.278711 | − | 0.202496i | −0.0125653 | − | 0.00912921i | ||||
\(493\) | 4.53547 | + | 0.964044i | 0.204267 | + | 0.0434184i | ||||
\(494\) | −5.27274 | + | 16.2278i | −0.237232 | + | 0.730125i | ||||
\(495\) | 0.935936 | 0.0420672 | ||||||||
\(496\) | 3.02520 | + | 4.67420i | 0.135836 | + | 0.209878i | ||||
\(497\) | −13.0624 | −0.585927 | ||||||||
\(498\) | −3.00881 | + | 9.26016i | −0.134828 | + | 0.414958i | ||||
\(499\) | 36.3195 | + | 7.71995i | 1.62588 | + | 0.345592i | 0.928565 | − | 0.371169i | \(-0.121043\pi\) |
0.697319 | + | 0.716761i | \(0.254376\pi\) | |||||||
\(500\) | −0.809017 | − | 0.587785i | −0.0361803 | − | 0.0262866i | ||||
\(501\) | −0.632581 | − | 1.09566i | −0.0282616 | − | 0.0489506i | ||||
\(502\) | 5.46103 | − | 9.45879i | 0.243738 | − | 0.422166i | ||||
\(503\) | 23.0708 | − | 10.2718i | 1.02868 | − | 0.457997i | 0.178192 | − | 0.983996i | \(-0.442975\pi\) |
0.850485 | + | 0.525999i | \(0.176308\pi\) | |||||||
\(504\) | 1.81799 | − | 1.32085i | 0.0809797 | − | 0.0588352i | ||||
\(505\) | 4.53912 | + | 2.02095i | 0.201988 | + | 0.0899309i | ||||
\(506\) | 3.17892 | − | 0.675700i | 0.141320 | − | 0.0300385i | ||||
\(507\) | 0.772659 | − | 7.35136i | 0.0343150 | − | 0.326485i | ||||
\(508\) | 0.880890 | + | 0.978327i | 0.0390832 | + | 0.0434062i | ||||
\(509\) | 3.97213 | − | 4.41150i | 0.176062 | − | 0.195536i | −0.648655 | − | 0.761083i | \(-0.724668\pi\) |
0.824716 | + | 0.565546i | \(0.191335\pi\) | |||||||
\(510\) | −0.108095 | − | 1.02846i | −0.00478653 | − | 0.0455408i | ||||
\(511\) | −7.07318 | − | 21.7690i | −0.312899 | − | 0.963004i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −0.753146 | − | 7.16570i | −0.0332522 | − | 0.316374i | ||||
\(514\) | 7.97730 | − | 8.85969i | 0.351863 | − | 0.390784i | ||||
\(515\) | 11.9921 | + | 13.3185i | 0.528434 | + | 0.586885i | ||||
\(516\) | −0.127369 | + | 1.21184i | −0.00560712 | + | 0.0533482i | ||||
\(517\) | −2.72787 | + | 0.579827i | −0.119972 | + | 0.0255007i | ||||
\(518\) | −6.05291 | − | 2.69493i | −0.265949 | − | 0.118408i | ||||
\(519\) | 5.50265 | − | 3.99791i | 0.241540 | − | 0.175489i | ||||
\(520\) | −2.16342 | + | 0.963215i | −0.0948721 | + | 0.0422398i | ||||
\(521\) | −0.811222 | + | 1.40508i | −0.0355403 | + | 0.0615576i | −0.883248 | − | 0.468905i | \(-0.844649\pi\) |
0.847708 | + | 0.530463i | \(0.177982\pi\) | |||||||
\(522\) | 2.24190 | + | 3.88308i | 0.0981253 | + | 0.169958i | ||||
\(523\) | 29.5622 | + | 21.4782i | 1.29266 | + | 0.939176i | 0.999856 | − | 0.0169951i | \(-0.00540997\pi\) |
0.292809 | + | 0.956171i | \(0.405410\pi\) | |||||||
\(524\) | −1.81216 | − | 0.385187i | −0.0791646 | − | 0.0168270i | ||||
\(525\) | −0.694411 | + | 2.13718i | −0.0303066 | + | 0.0932740i | ||||
\(526\) | 5.75486 | 0.250924 | ||||||||
\(527\) | −2.05508 | − | 5.37850i | −0.0895208 | − | 0.234291i | ||||
\(528\) | 0.935936 | 0.0407314 | ||||||||
\(529\) | −3.38142 | + | 10.4069i | −0.147018 | + | 0.452475i | ||||
\(530\) | −5.96658 | − | 1.26824i | −0.259172 | − | 0.0550886i | ||||
\(531\) | 9.33746 | + | 6.78406i | 0.405211 | + | 0.294403i | ||||
\(532\) | 8.09559 | + | 14.0220i | 0.350988 | + | 0.607930i | ||||
\(533\) | 0.407922 | − | 0.706541i | 0.0176691 | − | 0.0306037i | ||||
\(534\) | 1.79567 | − | 0.799483i | 0.0777061 | − | 0.0345970i | ||||
\(535\) | −0.467569 | + | 0.339708i | −0.0202148 | + | 0.0146869i | ||||
\(536\) | 2.21090 | + | 0.984354i | 0.0954961 | + | 0.0425176i | ||||
\(537\) | −14.8534 | + | 3.15719i | −0.640972 | + | 0.136243i | ||||
\(538\) | −1.75454 | + | 16.6933i | −0.0756435 | + | 0.719700i | ||||
\(539\) | −1.22139 | − | 1.35649i | −0.0526088 | − | 0.0584280i | ||||
\(540\) | 0.669131 | − | 0.743145i | 0.0287948 | − | 0.0319799i | ||||
\(541\) | 0.359054 | + | 3.41617i | 0.0154369 | + | 0.146872i | 0.999525 | − | 0.0308069i | \(-0.00980768\pi\) |
−0.984088 | + | 0.177679i | \(0.943141\pi\) | |||||||
\(542\) | 6.01765 | + | 18.5204i | 0.258480 | + | 0.795521i | ||||
\(543\) | 7.53309 | + | 23.1845i | 0.323276 | + | 0.994940i | ||||
\(544\) | −0.108095 | − | 1.02846i | −0.00463454 | − | 0.0440947i | ||||
\(545\) | 12.0548 | − | 13.3883i | 0.516373 | − | 0.573490i | ||||
\(546\) | 3.56086 | + | 3.95473i | 0.152391 | + | 0.169247i | ||||
\(547\) | −2.49565 | + | 23.7446i | −0.106706 | + | 1.01524i | 0.801862 | + | 0.597509i | \(0.203843\pi\) |
−0.908569 | + | 0.417735i | \(0.862824\pi\) | |||||||
\(548\) | 5.49292 | − | 1.16756i | 0.234646 | − | 0.0498755i | ||||
\(549\) | −4.83774 | − | 2.15390i | −0.206470 | − | 0.0919263i | ||||
\(550\) | −0.757188 | + | 0.550130i | −0.0322866 | + | 0.0234576i | ||||
\(551\) | −29.5135 | + | 13.1403i | −1.25732 | + | 0.559794i | ||||
\(552\) | 1.73620 | − | 3.00718i | 0.0738974 | − | 0.127994i | ||||
\(553\) | −3.95739 | − | 6.85439i | −0.168285 | − | 0.291478i | ||||
\(554\) | −7.65580 | − | 5.56227i | −0.325264 | − | 0.236318i | ||||
\(555\) | −2.88406 | − | 0.613026i | −0.122422 | − | 0.0260215i | ||||
\(556\) | 2.82680 | − | 8.70001i | 0.119883 | − | 0.368963i | ||||
\(557\) | −9.86795 | −0.418118 | −0.209059 | − | 0.977903i | \(-0.567040\pi\) | ||||
−0.209059 | + | 0.977903i | \(0.567040\pi\) | |||||||
\(558\) | 2.53538 | − | 4.95700i | 0.107331 | − | 0.209847i | ||||
\(559\) | −2.88563 | −0.122049 | ||||||||
\(560\) | −0.694411 | + | 2.13718i | −0.0293442 | + | 0.0903122i | ||||
\(561\) | −0.946722 | − | 0.201232i | −0.0399706 | − | 0.00849602i | ||||
\(562\) | 13.8196 | + | 10.0405i | 0.582943 | + | 0.423533i | ||||
\(563\) | 8.24091 | + | 14.2737i | 0.347313 | + | 0.601564i | 0.985771 | − | 0.168093i | \(-0.0537609\pi\) |
−0.638458 | + | 0.769656i | \(0.720428\pi\) | |||||||
\(564\) | −1.48985 | + | 2.58050i | −0.0627341 | + | 0.108659i | ||||
\(565\) | 8.25634 | − | 3.67596i | 0.347347 | − | 0.154649i | ||||
\(566\) | 0.359892 | − | 0.261477i | 0.0151274 | − | 0.0109907i | ||||
\(567\) | −2.05288 | − | 0.914002i | −0.0862130 | − | 0.0383845i | ||||
\(568\) | −5.68580 | + | 1.20855i | −0.238571 | + | 0.0507098i | ||||
\(569\) | 4.81426 | − | 45.8046i | 0.201824 | − | 1.92023i | −0.158422 | − | 0.987372i | \(-0.550641\pi\) |
0.360246 | − | 0.932857i | \(-0.382693\pi\) | |||||||
\(570\) | 4.82120 | + | 5.35449i | 0.201938 | + | 0.224275i | ||||
\(571\) | −7.59756 | + | 8.43795i | −0.317948 | + | 0.353117i | −0.880841 | − | 0.473413i | \(-0.843022\pi\) |
0.562893 | + | 0.826530i | \(0.309688\pi\) | |||||||
\(572\) | 0.231681 | + | 2.20430i | 0.00968708 | + | 0.0921664i | ||||
\(573\) | 1.65760 | + | 5.10158i | 0.0692474 | + | 0.213122i | ||||
\(574\) | −0.239229 | − | 0.736271i | −0.00998522 | − | 0.0307313i | ||||
\(575\) | 0.362964 | + | 3.45337i | 0.0151366 | + | 0.144015i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | 19.4368 | + | 21.5867i | 0.809163 | + | 0.898667i | 0.996497 | − | 0.0836297i | \(-0.0266513\pi\) |
−0.187334 | + | 0.982296i | \(0.559985\pi\) | |||||||
\(578\) | 1.66520 | − | 15.8433i | 0.0692632 | − | 0.658995i | ||||
\(579\) | 7.37605 | − | 1.56783i | 0.306538 | − | 0.0651567i | ||||
\(580\) | −4.09616 | − | 1.82373i | −0.170084 | − | 0.0757261i | ||||
\(581\) | −17.7012 | + | 12.8607i | −0.734371 | + | 0.533552i | ||||
\(582\) | 14.9026 | − | 6.63505i | 0.617731 | − | 0.275032i | ||||
\(583\) | −2.85455 | + | 4.94422i | −0.118223 | + | 0.204769i | ||||
\(584\) | −5.09294 | − | 8.82122i | −0.210747 | − | 0.365025i | ||||
\(585\) | 1.91588 | + | 1.39197i | 0.0792117 | + | 0.0575507i | ||||
\(586\) | 22.9870 | + | 4.88603i | 0.949583 | + | 0.201840i | ||||
\(587\) | −4.07703 | + | 12.5478i | −0.168277 | + | 0.517903i | −0.999263 | − | 0.0383905i | \(-0.987777\pi\) |
0.830986 | + | 0.556293i | \(0.187777\pi\) | |||||||
\(588\) | −1.95027 | −0.0804279 | ||||||||
\(589\) | 33.6109 | + | 21.9011i | 1.38491 | + | 0.902419i | ||||
\(590\) | −11.5417 | −0.475166 | ||||||||
\(591\) | −7.66439 | + | 23.5886i | −0.315271 | + | 0.970304i | ||||
\(592\) | −2.88406 | − | 0.613026i | −0.118534 | − | 0.0251952i | ||||
\(593\) | −23.1755 | − | 16.8380i | −0.951705 | − | 0.691454i | −0.000495829 | − | 1.00000i | \(-0.500158\pi\) |
−0.951210 | + | 0.308545i | \(0.900158\pi\) | |||||||
\(594\) | −0.467968 | − | 0.810545i | −0.0192010 | − | 0.0332571i | ||||
\(595\) | 1.16192 | − | 2.01250i | 0.0476340 | − | 0.0825045i | ||||
\(596\) | 7.22278 | − | 3.21579i | 0.295857 | − | 0.131724i | ||||
\(597\) | 18.1004 | − | 13.1507i | 0.740802 | − | 0.538224i | ||||
\(598\) | 7.51223 | + | 3.34466i | 0.307198 | + | 0.136773i | ||||
\(599\) | −45.0506 | + | 9.57580i | −1.84072 | + | 0.391257i | −0.990764 | − | 0.135600i | \(-0.956704\pi\) |
−0.849954 | + | 0.526857i | \(0.823371\pi\) | |||||||
\(600\) | −0.104528 | + | 0.994522i | −0.00426736 | + | 0.0406012i | ||||
\(601\) | −20.9630 | − | 23.2818i | −0.855100 | − | 0.949685i | 0.144104 | − | 0.989563i | \(-0.453970\pi\) |
−0.999205 | + | 0.0398773i | \(0.987303\pi\) | |||||||
\(602\) | −1.83221 | + | 2.03487i | −0.0746752 | + | 0.0829353i | ||||
\(603\) | −0.252972 | − | 2.40687i | −0.0103018 | − | 0.0980153i | ||||
\(604\) | 4.97548 | + | 15.3130i | 0.202449 | + | 0.623075i | ||||
\(605\) | −3.12850 | − | 9.62852i | −0.127191 | − | 0.391455i | ||||
\(606\) | −0.519369 | − | 4.94146i | −0.0210979 | − | 0.200733i | ||||
\(607\) | −22.3324 | + | 24.8027i | −0.906445 | + | 1.00671i | 0.0934937 | + | 0.995620i | \(0.470196\pi\) |
−0.999939 | + | 0.0110891i | \(0.996470\pi\) | |||||||
\(608\) | 4.82120 | + | 5.35449i | 0.195526 | + | 0.217153i | ||||
\(609\) | −1.05321 | + | 10.0206i | −0.0426782 | + | 0.406056i | ||||
\(610\) | 5.17985 | − | 1.10101i | 0.209726 | − | 0.0445786i | ||||
\(611\) | −6.44634 | − | 2.87009i | −0.260791 | − | 0.116112i | ||||
\(612\) | −0.836622 | + | 0.607841i | −0.0338184 | + | 0.0245705i | ||||
\(613\) | 6.05158 | − | 2.69434i | 0.244421 | − | 0.108823i | −0.280870 | − | 0.959746i | \(-0.590623\pi\) |
0.525291 | + | 0.850923i | \(0.323956\pi\) | |||||||
\(614\) | 7.29767 | − | 12.6399i | 0.294510 | − | 0.510106i | ||||
\(615\) | −0.172253 | − | 0.298351i | −0.00694592 | − | 0.0120307i | ||||
\(616\) | 1.70152 | + | 1.23623i | 0.0685563 | + | 0.0498091i | ||||
\(617\) | −6.97886 | − | 1.48340i | −0.280958 | − | 0.0597195i | 0.0652772 | − | 0.997867i | \(-0.479207\pi\) |
−0.346235 | + | 0.938148i | \(0.612540\pi\) | |||||||
\(618\) | 5.53816 | − | 17.0447i | 0.222777 | − | 0.685638i | ||||
\(619\) | −3.41943 | −0.137439 | −0.0687193 | − | 0.997636i | \(-0.521891\pi\) | ||||
−0.0687193 | + | 0.997636i | \(0.521891\pi\) | |||||||
\(620\) | 0.862491 | + | 5.50056i | 0.0346385 | + | 0.220908i | ||||
\(621\) | −3.47239 | −0.139342 | ||||||||
\(622\) | −3.84369 | + | 11.8297i | −0.154118 | + | 0.474326i | ||||
\(623\) | 4.32050 | + | 0.918351i | 0.173097 | + | 0.0367929i | ||||
\(624\) | 1.91588 | + | 1.39197i | 0.0766964 | + | 0.0557232i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −4.56890 | + | 7.91357i | −0.182610 | + | 0.316290i | ||||
\(627\) | 6.16057 | − | 2.74286i | 0.246030 | − | 0.109539i | ||||
\(628\) | −1.25135 | + | 0.909159i | −0.0499343 | + | 0.0362794i | ||||
\(629\) | 2.78549 | + | 1.24018i | 0.111065 | + | 0.0494492i | ||||
\(630\) | 2.19805 | − | 0.467211i | 0.0875726 | − | 0.0186141i | ||||
\(631\) | 1.15340 | − | 10.9739i | 0.0459161 | − | 0.436863i | −0.947280 | − | 0.320407i | \(-0.896180\pi\) |
0.993196 | − | 0.116455i | \(-0.0371532\pi\) | |||||||
\(632\) | −2.35676 | − | 2.61745i | −0.0937469 | − | 0.104116i | ||||
\(633\) | −6.49370 | + | 7.21198i | −0.258101 | + | 0.286650i | ||||
\(634\) | −0.523524 | − | 4.98100i | −0.0207918 | − | 0.197821i | ||||
\(635\) | 0.406811 | + | 1.25204i | 0.0161438 | + | 0.0496856i | ||||
\(636\) | 1.88497 | + | 5.80133i | 0.0747437 | + | 0.230038i | ||||
\(637\) | −0.482770 | − | 4.59325i | −0.0191280 | − | 0.181991i | ||||
\(638\) | −2.80804 | + | 3.11865i | −0.111171 | + | 0.123468i | ||||
\(639\) | 3.88954 | + | 4.31977i | 0.153868 | + | 0.170888i | ||||
\(640\) | −0.104528 | + | 0.994522i | −0.00413185 | + | 0.0393119i | ||||
\(641\) | −6.59305 | + | 1.40140i | −0.260410 | + | 0.0553518i | −0.336266 | − | 0.941767i | \(-0.609164\pi\) |
0.0758565 | + | 0.997119i | \(0.475831\pi\) | |||||||
\(642\) | 0.527981 | + | 0.235072i | 0.0208377 | + | 0.00927755i | ||||
\(643\) | −8.23323 | + | 5.98179i | −0.324687 | + | 0.235899i | −0.738173 | − | 0.674612i | \(-0.764311\pi\) |
0.413486 | + | 0.910510i | \(0.364311\pi\) | |||||||
\(644\) | 7.12841 | − | 3.17377i | 0.280899 | − | 0.125064i | ||||
\(645\) | −0.609256 | + | 1.05526i | −0.0239894 | + | 0.0415509i | ||||
\(646\) | −3.72551 | − | 6.45278i | −0.146578 | − | 0.253881i | ||||
\(647\) | 11.0509 | + | 8.02892i | 0.434454 | + | 0.315650i | 0.783428 | − | 0.621483i | \(-0.213470\pi\) |
−0.348973 | + | 0.937133i | \(0.613470\pi\) | |||||||
\(648\) | −0.978148 | − | 0.207912i | −0.0384253 | − | 0.00816754i | ||||
\(649\) | −3.33810 | + | 10.2736i | −0.131032 | + | 0.403275i | ||||
\(650\) | −2.36815 | −0.0928866 | ||||||||
\(651\) | 11.1567 | − | 5.66294i | 0.437267 | − | 0.221948i | ||||
\(652\) | 11.9015 | 0.466098 | ||||||||
\(653\) | 3.26513 | − | 10.0490i | 0.127774 | − | 0.393249i | −0.866622 | − | 0.498965i | \(-0.833713\pi\) |
0.994396 | + | 0.105716i | \(0.0337135\pi\) | |||||||
\(654\) | −17.6220 | − | 3.74567i | −0.689075 | − | 0.146467i | ||||
\(655\) | −1.49882 | − | 1.08896i | −0.0585638 | − | 0.0425491i | ||||
\(656\) | −0.172253 | − | 0.298351i | −0.00672536 | − | 0.0116487i | ||||
\(657\) | −5.09294 | + | 8.82122i | −0.198694 | + | 0.344149i | ||||
\(658\) | −6.11698 | + | 2.72345i | −0.238465 | + | 0.106171i | ||||
\(659\) | 4.33669 | − | 3.15079i | 0.168933 | − | 0.122737i | −0.500106 | − | 0.865964i | \(-0.666706\pi\) |
0.669040 | + | 0.743227i | \(0.266706\pi\) | |||||||
\(660\) | 0.855020 | + | 0.380680i | 0.0332816 | + | 0.0148179i | ||||
\(661\) | −9.75906 | + | 2.07435i | −0.379583 | + | 0.0806829i | −0.393752 | − | 0.919217i | \(-0.628823\pi\) |
0.0141687 | + | 0.999900i | \(0.495490\pi\) | |||||||
\(662\) | 1.77652 | − | 16.9024i | 0.0690464 | − | 0.656932i | ||||
\(663\) | −1.63867 | − | 1.81993i | −0.0636408 | − | 0.0706803i | ||||
\(664\) | −6.51513 | + | 7.23579i | −0.252836 | + | 0.280803i | ||||
\(665\) | 1.69244 | + | 16.1025i | 0.0656300 | + | 0.624427i | ||||
\(666\) | 0.911134 | + | 2.80418i | 0.0353057 | + | 0.108660i | ||||
\(667\) | 4.81124 | + | 14.8075i | 0.186292 | + | 0.573348i | ||||
\(668\) | −0.132245 | − | 1.25823i | −0.00511673 | − | 0.0486824i | ||||
\(669\) | 2.11041 | − | 2.34385i | 0.0815933 | − | 0.0906186i | ||||
\(670\) | 1.61938 | + | 1.79850i | 0.0625621 | + | 0.0694823i | ||||
\(671\) | 0.518076 | − | 4.92917i | 0.0200001 | − | 0.190288i | ||||
\(672\) | 2.19805 | − | 0.467211i | 0.0847918 | − | 0.0180230i | ||||
\(673\) | 11.2430 | + | 5.00570i | 0.433386 | + | 0.192956i | 0.611822 | − | 0.790996i | \(-0.290437\pi\) |
−0.178436 | + | 0.983952i | \(0.557104\pi\) | |||||||
\(674\) | 10.9061 | − | 7.92377i | 0.420088 | − | 0.305212i | ||||
\(675\) | 0.913545 | − | 0.406737i | 0.0351624 | − | 0.0156553i | ||||
\(676\) | 3.69592 | − | 6.40153i | 0.142151 | − | 0.246213i | ||||
\(677\) | −0.332241 | − | 0.575459i | −0.0127691 | − | 0.0221167i | 0.859570 | − | 0.511018i | \(-0.170731\pi\) |
−0.872339 | + | 0.488901i | \(0.837398\pi\) | |||||||
\(678\) | −7.31164 | − | 5.31222i | −0.280802 | − | 0.204015i | ||||
\(679\) | 35.8566 | + | 7.62156i | 1.37605 | + | 0.292489i | ||||
\(680\) | 0.319561 | − | 0.983508i | 0.0122546 | − | 0.0377158i | ||||
\(681\) | 3.65541 | 0.140076 | ||||||||
\(682\) | 5.14565 | + | 0.823145i | 0.197037 | + | 0.0315198i | ||||
\(683\) | 19.0961 | 0.730691 | 0.365346 | − | 0.930872i | \(-0.380951\pi\) | ||||
0.365346 | + | 0.930872i | \(0.380951\pi\) | |||||||
\(684\) | 2.22652 | − | 6.85253i | 0.0851332 | − | 0.262013i | ||||
\(685\) | 5.49292 | + | 1.16756i | 0.209874 | + | 0.0446100i | ||||
\(686\) | −16.2715 | − | 11.8219i | −0.621249 | − | 0.451364i | ||||
\(687\) | 0.725278 | + | 1.25622i | 0.0276711 | + | 0.0479277i | ||||
\(688\) | −0.609256 | + | 1.05526i | −0.0232277 | + | 0.0402315i | ||||
\(689\) | −13.1966 | + | 5.87549i | −0.502749 | + | 0.223838i | ||||
\(690\) | 2.80922 | − | 2.04102i | 0.106945 | − | 0.0777003i | ||||
\(691\) | −24.4616 | − | 10.8910i | −0.930564 | − | 0.414314i | −0.115253 | − | 0.993336i | \(-0.536768\pi\) |
−0.815312 | + | 0.579022i | \(0.803434\pi\) | |||||||
\(692\) | 6.65302 | − | 1.41414i | 0.252910 | − | 0.0537576i | ||||
\(693\) | 0.219844 | − | 2.09168i | 0.00835119 | − | 0.0794562i | ||||
\(694\) | −16.3180 | − | 18.1229i | −0.619422 | − | 0.687938i | ||||
\(695\) | 6.12103 | − | 6.79809i | 0.232184 | − | 0.257866i | ||||
\(696\) | 0.468685 | + | 4.45924i | 0.0177654 | + | 0.169027i | ||||
\(697\) | 0.110091 | + | 0.338825i | 0.00416999 | + | 0.0128339i | ||||
\(698\) | −1.53046 | − | 4.71028i | −0.0579289 | − | 0.178287i | ||||
\(699\) | 0.502748 | + | 4.78333i | 0.0190157 | + | 0.180922i | ||||
\(700\) | −1.50364 | + | 1.66997i | −0.0568324 | + | 0.0631187i | ||||
\(701\) | 15.6639 | + | 17.3965i | 0.591617 | + | 0.657057i | 0.962392 | − | 0.271666i | \(-0.0875745\pi\) |
−0.370775 | + | 0.928723i | \(0.620908\pi\) | |||||||
\(702\) | 0.247539 | − | 2.35518i | 0.00934277 | − | 0.0888906i | ||||
\(703\) | −20.7802 | + | 4.41696i | −0.783739 | + | 0.166589i | ||||
\(704\) | 0.855020 | + | 0.380680i | 0.0322248 | + | 0.0143474i | ||||
\(705\) | −2.41063 | + | 1.75143i | −0.0907896 | + | 0.0659625i | ||||
\(706\) | −31.9101 | + | 14.2073i | −1.20095 | + | 0.534698i | ||||
\(707\) | 5.58271 | − | 9.66954i | 0.209960 | − | 0.363661i | ||||
\(708\) | 5.77087 | + | 9.99544i | 0.216883 | + | 0.375652i | ||||
\(709\) | −22.9144 | − | 16.6483i | −0.860568 | − | 0.625239i | 0.0674716 | − | 0.997721i | \(-0.478507\pi\) |
−0.928039 | + | 0.372482i | \(0.878507\pi\) | |||||||
\(710\) | −5.68580 | − | 1.20855i | −0.213384 | − | 0.0453563i | ||||
\(711\) | −1.08840 | + | 3.34974i | −0.0408180 | + | 0.125625i | ||||
\(712\) | 1.96560 | 0.0736641 | ||||||||
\(713\) | 12.1901 | − | 15.0061i | 0.456525 | − | 0.561983i | ||||
\(714\) | −2.32384 | −0.0869674 | ||||||||
\(715\) | −0.684918 | + | 2.10796i | −0.0256145 | + | 0.0788333i | ||||
\(716\) | −14.8534 | − | 3.15719i | −0.555098 | − | 0.117990i | ||||
\(717\) | −17.3058 | − | 12.5734i | −0.646299 | − | 0.469563i | ||||
\(718\) | −11.0330 | − | 19.1097i | −0.411748 | − | 0.713169i | ||||
\(719\) | −1.48364 | + | 2.56974i | −0.0553305 | + | 0.0958352i | −0.892364 | − | 0.451316i | \(-0.850955\pi\) |
0.837033 | + | 0.547152i | \(0.184288\pi\) | |||||||
\(720\) | 0.913545 | − | 0.406737i | 0.0340458 | − | 0.0151582i | ||||
\(721\) | 32.5818 | − | 23.6720i | 1.21341 | − | 0.881593i | ||||
\(722\) | 30.0689 | + | 13.3876i | 1.11905 | + | 0.498233i | ||||
\(723\) | −10.1810 | + | 2.16404i | −0.378636 | + | 0.0804816i | ||||
\(724\) | −2.54815 | + | 24.2440i | −0.0947013 | + | 0.901023i | ||||
\(725\) | −3.00025 | − | 3.33211i | −0.111426 | − | 0.123752i | ||||
\(726\) | −6.77429 | + | 7.52362i | −0.251418 | + | 0.279228i | ||||
\(727\) | −1.26353 | − | 12.0216i | −0.0468616 | − | 0.445858i | −0.992645 | − | 0.121060i | \(-0.961371\pi\) |
0.945784 | − | 0.324798i | \(-0.105296\pi\) | |||||||
\(728\) | 1.64447 | + | 5.06116i | 0.0609481 | + | 0.187579i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −1.06471 | − | 10.1301i | −0.0394068 | − | 0.374931i | ||||
\(731\) | 0.843165 | − | 0.936430i | 0.0311856 | − | 0.0346351i | ||||
\(732\) | −3.54343 | − | 3.93538i | −0.130969 | − | 0.145456i | ||||
\(733\) | −4.55868 | + | 43.3729i | −0.168379 | + | 1.60202i | 0.505268 | + | 0.862963i | \(0.331394\pi\) |
−0.673647 | + | 0.739054i | \(0.735273\pi\) | |||||||
\(734\) | −2.70891 | + | 0.575797i | −0.0999877 | + | 0.0212530i | ||||
\(735\) | −1.78166 | − | 0.793248i | −0.0657176 | − | 0.0292594i | ||||
\(736\) | 2.80922 | − | 2.04102i | 0.103549 | − | 0.0752330i | ||||
\(737\) | 2.06926 | − | 0.921293i | 0.0762221 | − | 0.0339363i | ||||
\(738\) | −0.172253 | + | 0.298351i | −0.00634073 | + | 0.0109825i | ||||
\(739\) | 22.7672 | + | 39.4340i | 0.837506 | + | 1.45060i | 0.891974 | + | 0.452087i | \(0.149320\pi\) |
−0.0544682 | + | 0.998516i | \(0.517346\pi\) | |||||||
\(740\) | −2.38538 | − | 1.73308i | −0.0876883 | − | 0.0637093i | ||||
\(741\) | 16.6901 | + | 3.54759i | 0.613126 | + | 0.130324i | ||||
\(742\) | −4.23582 | + | 13.0365i | −0.155502 | + | 0.478585i | ||||
\(743\) | −48.9563 | −1.79603 | −0.898015 | − | 0.439964i | \(-0.854991\pi\) | ||||
−0.898015 | + | 0.439964i | \(0.854991\pi\) | |||||||
\(744\) | 4.33238 | − | 3.49722i | 0.158833 | − | 0.128214i | ||||
\(745\) | 7.90632 | 0.289665 | ||||||||
\(746\) | 8.08400 | − | 24.8800i | 0.295976 | − | 0.910921i | ||||
\(747\) | 9.52394 | + | 2.02438i | 0.348463 | + | 0.0740680i | ||||
\(748\) | −0.783025 | − | 0.568901i | −0.0286302 | − | 0.0208011i | ||||
\(749\) | 0.649369 | + | 1.12474i | 0.0237274 | + | 0.0410971i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 1.41768 | − | 0.631190i | 0.0517317 | − | 0.0230324i | −0.380708 | − | 0.924695i | \(-0.624320\pi\) |
0.432439 | + | 0.901663i | \(0.357653\pi\) | |||||||
\(752\) | −2.41063 | + | 1.75143i | −0.0879066 | + | 0.0638679i | ||||
\(753\) | −9.97780 | − | 4.44240i | −0.363611 | − | 0.161890i | ||||
\(754\) | −10.3863 | + | 2.20767i | −0.378246 | + | 0.0803988i | ||||
\(755\) | −1.68301 | + | 16.0128i | −0.0612511 | + | 0.582765i | ||||
\(756\) | −1.50364 | − | 1.66997i | −0.0546870 | − | 0.0607360i | ||||
\(757\) | −26.6534 | + | 29.6016i | −0.968735 | + | 1.07589i | 0.0283504 | + | 0.999598i | \(0.490975\pi\) |
−0.997086 | + | 0.0762914i | \(0.975692\pi\) | |||||||
\(758\) | −1.48845 | − | 14.1616i | −0.0540628 | − | 0.514373i | ||||
\(759\) | −1.00429 | − | 3.09088i | −0.0364533 | − | 0.112192i | ||||
\(760\) | 2.22652 | + | 6.85253i | 0.0807644 | + | 0.248567i | ||||
\(761\) | 0.644097 | + | 6.12818i | 0.0233485 | + | 0.222146i | 0.999974 | + | 0.00719863i | \(0.00229141\pi\) |
−0.976626 | + | 0.214948i | \(0.931042\pi\) | |||||||
\(762\) | 0.880890 | − | 0.978327i | 0.0319113 | − | 0.0354411i | ||||
\(763\) | −27.0892 | − | 30.0856i | −0.980694 | − | 1.08917i | ||||
\(764\) | −0.560703 | + | 5.33474i | −0.0202855 | + | 0.193004i | ||||
\(765\) | −1.01152 | + | 0.215006i | −0.0365717 | + | 0.00777356i | ||||
\(766\) | −5.50067 | − | 2.44906i | −0.198747 | − | 0.0884880i | ||||
\(767\) | −22.1125 | + | 16.0657i | −0.798438 | + | 0.580099i | ||||
\(768\) | 0.913545 | − | 0.406737i | 0.0329647 | − | 0.0146768i | ||||
\(769\) | −1.97304 | + | 3.41740i | −0.0711496 | + | 0.123235i | −0.899405 | − | 0.437115i | \(-0.856000\pi\) |
0.828256 | + | 0.560350i | \(0.189333\pi\) | |||||||
\(770\) | 1.05160 | + | 1.82142i | 0.0378970 | + | 0.0656395i | ||||
\(771\) | −9.64501 | − | 7.00751i | −0.347356 | − | 0.252369i | ||||
\(772\) | 7.37605 | + | 1.56783i | 0.265470 | + | 0.0564273i | ||||
\(773\) | 8.65248 | − | 26.6296i | 0.311208 | − | 0.957800i | −0.666079 | − | 0.745881i | \(-0.732029\pi\) |
0.977287 | − | 0.211919i | \(-0.0679713\pi\) | |||||||
\(774\) | 1.21851 | 0.0437985 | ||||||||
\(775\) | −1.44935 | + | 5.37581i | −0.0520623 | + | 0.193105i | ||||
\(776\) | 16.3129 | 0.585599 | ||||||||
\(777\) | −2.04746 | + | 6.30145i | −0.0734524 | + | 0.226063i | ||||
\(778\) | −21.9346 | − | 4.66234i | −0.786394 | − | 0.167153i | ||||
\(779\) | −2.00816 | − | 1.45902i | −0.0719500 | − | 0.0522747i | ||||
\(780\) | 1.18408 | + | 2.05088i | 0.0423967 | + | 0.0734333i | ||||
\(781\) | −2.72022 | + | 4.71156i | −0.0973371 | + | 0.168593i | ||||
\(782\) | −3.28043 | + | 1.46054i | −0.117308 | + | 0.0522288i | ||||
\(783\) | 3.62747 | − | 2.63551i | 0.129635 | − | 0.0941855i | ||||
\(784\) | −1.78166 | − | 0.793248i | −0.0636308 | − | 0.0283303i | ||||
\(785\) | −1.51295 | + | 0.321588i | −0.0539996 | + | 0.0114780i | ||||
\(786\) | −0.193654 | + | 1.84250i | −0.00690742 | + | 0.0657197i | ||||
\(787\) | 18.0754 | + | 20.0747i | 0.644317 | + | 0.715586i | 0.973502 | − | 0.228679i | \(-0.0734407\pi\) |
−0.329185 | + | 0.944265i | \(0.606774\pi\) | |||||||
\(788\) | −16.5961 | + | 18.4318i | −0.591212 | + | 0.656607i | ||||
\(789\) | −0.601547 | − | 5.72333i | −0.0214156 | − | 0.203756i | ||||
\(790\) | −1.08840 | − | 3.34974i | −0.0387234 | − | 0.119178i | ||||
\(791\) | −6.27587 | − | 19.3151i | −0.223144 | − | 0.686767i | ||||
\(792\) | −0.0978320 | − | 0.930809i | −0.00347631 | − | 0.0330749i | ||||
\(793\) | 8.39138 | − | 9.31957i | 0.297987 | − | 0.330948i | ||||
\(794\) | −3.59329 | − | 3.99075i | −0.127521 | − | 0.141626i | ||||
\(795\) | −0.637611 | + | 6.06646i | −0.0226137 | + | 0.215155i | ||||
\(796\) | 21.8845 | − | 4.65169i | 0.775674 | − | 0.164875i | ||||
\(797\) | 0.0415867 | + | 0.0185156i | 0.00147308 | + | 0.000655857i | 0.407473 | − | 0.913217i | \(-0.366410\pi\) |
−0.406000 | + | 0.913873i | \(0.633077\pi\) | |||||||
\(798\) | 13.0989 | − | 9.51694i | 0.463697 | − | 0.336896i | ||||
\(799\) | 2.81498 | − | 1.25331i | 0.0995867 | − | 0.0443388i | ||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | −0.982801 | − | 1.70226i | −0.0347256 | − | 0.0601465i | ||||
\(802\) | 11.5397 | + | 8.38412i | 0.407483 | + | 0.296053i | ||||
\(803\) | −9.32500 | − | 1.98209i | −0.329072 | − | 0.0699464i | ||||
\(804\) | 0.747860 | − | 2.30168i | 0.0263750 | − | 0.0811739i | ||||
\(805\) | 7.80302 | 0.275020 | ||||||||
\(806\) | 9.30901 | + | 9.33783i | 0.327896 | + | 0.328911i | ||||
\(807\) | 16.7853 | 0.590870 | ||||||||
\(808\) | 1.53541 | − | 4.72550i | 0.0540155 | − | 0.166242i | ||||
\(809\) | −21.5286 | − | 4.57604i | −0.756905 | − | 0.160885i | −0.186733 | − | 0.982411i | \(-0.559790\pi\) |
−0.570172 | + | 0.821526i | \(0.693123\pi\) | |||||||
\(810\) | −0.809017 | − | 0.587785i | −0.0284260 | − | 0.0206527i | ||||
\(811\) | −11.2240 | − | 19.4406i | −0.394129 | − | 0.682651i | 0.598861 | − | 0.800853i | \(-0.295620\pi\) |
−0.992990 | + | 0.118202i | \(0.962287\pi\) | |||||||
\(812\) | −5.03791 | + | 8.72591i | −0.176796 | + | 0.306219i | ||||
\(813\) | 17.7900 | − | 7.92060i | 0.623921 | − | 0.277788i | ||||
\(814\) | −2.23256 | + | 1.62205i | −0.0782513 | + | 0.0568529i | ||||
\(815\) | 10.8725 | + | 4.84076i | 0.380848 | + | 0.169565i | ||||
\(816\) | −1.01152 | + | 0.215006i | −0.0354104 | + | 0.00752671i | ||||
\(817\) | −0.917718 | + | 8.73150i | −0.0321069 | + | 0.305477i | ||||
\(818\) | −13.1328 | − | 14.5854i | −0.459177 | − | 0.509968i | ||||
\(819\) | 3.56086 | − | 3.95473i | 0.124426 | − | 0.138190i | ||||
\(820\) | −0.0360107 | − | 0.342619i | −0.00125755 | − | 0.0119648i | ||||
\(821\) | 11.8821 | + | 36.5694i | 0.414689 | + | 1.27628i | 0.912529 | + | 0.409013i | \(0.134127\pi\) |
−0.497840 | + | 0.867269i | \(0.665873\pi\) | |||||||
\(822\) | −1.73533 | − | 5.34078i | −0.0605264 | − | 0.186281i | ||||
\(823\) | 3.10023 | + | 29.4968i | 0.108067 | + | 1.02819i | 0.905373 | + | 0.424617i | \(0.139591\pi\) |
−0.797306 | + | 0.603575i | \(0.793742\pi\) | |||||||
\(824\) | 11.9921 | − | 13.3185i | 0.417763 | − | 0.463973i | ||||
\(825\) | 0.626264 | + | 0.695536i | 0.0218037 | + | 0.0242155i | ||||
\(826\) | −2.71106 | + | 25.7940i | −0.0943300 | + | 0.897490i | ||||
\(827\) | −16.1008 | + | 3.42233i | −0.559880 | + | 0.119006i | −0.479155 | − | 0.877730i | \(-0.659057\pi\) |
−0.0807247 | + | 0.996736i | \(0.525723\pi\) | |||||||
\(828\) | −3.17219 | − | 1.41235i | −0.110241 | − | 0.0490825i | ||||
\(829\) | −21.6206 | + | 15.7083i | −0.750915 | + | 0.545571i | −0.896110 | − | 0.443832i | \(-0.853619\pi\) |
0.145196 | + | 0.989403i | \(0.453619\pi\) | |||||||
\(830\) | −8.89493 | + | 3.96028i | −0.308747 | + | 0.137463i | ||||
\(831\) | −4.73155 | + | 8.19528i | −0.164136 | + | 0.284291i | ||||
\(832\) | 1.18408 | + | 2.05088i | 0.0410505 | + | 0.0711015i | ||||
\(833\) | 1.63164 | + | 1.18546i | 0.0565330 | + | 0.0410737i | ||||
\(834\) | −8.94783 | − | 1.90192i | −0.309838 | − | 0.0658581i | ||||
\(835\) | 0.390957 | − | 1.20324i | 0.0135296 | − | 0.0416399i | ||||
\(836\) | 6.74359 | 0.233232 | ||||||||
\(837\) | −5.19487 | − | 2.00334i | −0.179561 | − | 0.0692455i | ||||
\(838\) | 13.9467 | 0.481781 | ||||||||
\(839\) | 14.0567 | − | 43.2619i | 0.485290 | − | 1.49357i | −0.346271 | − | 0.938134i | \(-0.612552\pi\) |
0.831561 | − | 0.555434i | \(-0.187448\pi\) | |||||||
\(840\) | 2.19805 | + | 0.467211i | 0.0758401 | + | 0.0161203i | ||||
\(841\) | 7.19664 | + | 5.22866i | 0.248160 | + | 0.180299i | ||||
\(842\) | −10.8295 | − | 18.7572i | −0.373209 | − | 0.646416i | ||||
\(843\) | 8.54096 | − | 14.7934i | 0.294166 | − | 0.509511i | ||||
\(844\) | −8.86566 | + | 3.94725i | −0.305169 | + | 0.135870i | ||||
\(845\) | 5.98013 | − | 4.34482i | 0.205723 | − | 0.149466i | ||||
\(846\) | 2.72209 | + | 1.21195i | 0.0935875 | + | 0.0416678i | ||||
\(847\) | −22.2531 | + | 4.73005i | −0.764627 | + | 0.162527i | ||||
\(848\) | −0.637611 | + | 6.06646i | −0.0218956 | + | 0.208323i | ||||
\(849\) | −0.297664 | − | 0.330589i | −0.0102158 | − | 0.0113458i | ||||
\(850\) | 0.691962 | − | 0.768502i | 0.0237341 | − | 0.0263594i | ||||
\(851\) | 1.07020 | + | 10.1822i | 0.0366858 | + | 0.349042i | ||||
\(852\) | 1.79626 | + | 5.52833i | 0.0615389 | + | 0.189397i | ||||
\(853\) | −12.4658 | − | 38.3656i | −0.426819 | − | 1.31361i | −0.901241 | − | 0.433317i | \(-0.857343\pi\) |
0.474422 | − | 0.880297i | \(-0.342657\pi\) | |||||||
\(854\) | −1.24389 | − | 11.8348i | −0.0425650 | − | 0.404979i | ||||
\(855\) | 4.82120 | − | 5.35449i | 0.164882 | − | 0.183120i | ||||
\(856\) | 0.386722 | + | 0.429498i | 0.0132179 | + | 0.0146799i | ||||
\(857\) | −0.0979126 | + | 0.931576i | −0.00334463 | + | 0.0318220i | −0.996067 | − | 0.0886041i | \(-0.971759\pi\) |
0.992722 | + | 0.120426i | \(0.0384261\pi\) | |||||||
\(858\) | 2.16801 | − | 0.460824i | 0.0740145 | − | 0.0157323i | ||||
\(859\) | −41.0003 | − | 18.2545i | −1.39891 | − | 0.622836i | −0.437820 | − | 0.899063i | \(-0.644249\pi\) |
−0.961093 | + | 0.276227i | \(0.910916\pi\) | |||||||
\(860\) | −0.985798 | + | 0.716224i | −0.0336154 | + | 0.0244230i | ||||
\(861\) | −0.707231 | + | 0.314879i | −0.0241024 | + | 0.0107311i | ||||
\(862\) | 11.4467 | − | 19.8263i | 0.389876 | − | 0.675285i | ||||
\(863\) | −26.2081 | − | 45.3938i | −0.892134 | − | 1.54522i | −0.837312 | − | 0.546725i | \(-0.815874\pi\) |
−0.0548222 | − | 0.998496i | \(-0.517459\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | 6.65302 | + | 1.41414i | 0.226209 | + | 0.0480823i | ||||
\(866\) | −0.107789 | + | 0.331740i | −0.00366282 | + | 0.0112730i | ||||
\(867\) | −15.9306 | −0.541031 | ||||||||
\(868\) | 12.4955 | − | 0.635499i | 0.424125 | − | 0.0215703i | ||||
\(869\) | −3.29648 | −0.111826 | ||||||||
\(870\) | −1.38557 | + | 4.26435i | −0.0469752 | + | 0.144575i | ||||
\(871\) | 5.60599 | + | 1.19159i | 0.189952 | + | 0.0403755i | ||||
\(872\) | −14.5750 | − | 10.5894i | −0.493572 | − | 0.358601i | ||||
\(873\) | −8.15645 | − | 14.1274i | −0.276054 | − | 0.478139i | ||||
\(874\) | 12.5096 | − | 21.6673i | 0.423143 | − | 0.732906i | ||||
\(875\) | −2.05288 | + | 0.914002i | −0.0694001 | + | 0.0308989i | ||||
\(876\) | −8.24054 | + | 5.98710i | −0.278422 | + | 0.202286i | ||||
\(877\) | −13.3550 | − | 5.94601i | −0.450965 | − | 0.200783i | 0.168670 | − | 0.985673i | \(-0.446053\pi\) |
−0.619635 | + | 0.784890i | \(0.712719\pi\) | |||||||
\(878\) | −9.21477 | + | 1.95866i | −0.310983 | + | 0.0661016i | ||||
\(879\) | 2.45647 | − | 23.3718i | 0.0828548 | − | 0.788310i | ||||
\(880\) | 0.626264 | + | 0.695536i | 0.0211113 | + | 0.0234465i | ||||
\(881\) | 4.65323 | − | 5.16794i | 0.156771 | − | 0.174112i | −0.659642 | − | 0.751580i | \(-0.729292\pi\) |
0.816414 | + | 0.577467i | \(0.195959\pi\) | |||||||
\(882\) | 0.203859 | + | 1.93959i | 0.00686429 | + | 0.0653094i | ||||
\(883\) | 5.35973 | + | 16.4955i | 0.180369 | + | 0.555119i | 0.999838 | − | 0.0180047i | \(-0.00573137\pi\) |
−0.819469 | + | 0.573124i | \(0.805731\pi\) | |||||||
\(884\) | −0.756770 | − | 2.32910i | −0.0254529 | − | 0.0783360i | ||||
\(885\) | 1.20644 | + | 11.4785i | 0.0405540 | + | 0.385846i | ||||
\(886\) | 10.5801 | − | 11.7504i | 0.355444 | − | 0.394761i | ||||
\(887\) | 21.4038 | + | 23.7713i | 0.718668 | + | 0.798161i | 0.986230 | − | 0.165379i | \(-0.0528848\pi\) |
−0.267562 | + | 0.963541i | \(0.586218\pi\) | |||||||
\(888\) | −0.308201 | + | 2.93234i | −0.0103426 | + | 0.0984029i | ||||
\(889\) | 2.89367 | − | 0.615069i | 0.0970506 | − | 0.0206287i | ||||
\(890\) | 1.79567 | + | 0.799483i | 0.0601909 | + | 0.0267987i | ||||
\(891\) | −0.757188 | + | 0.550130i | −0.0253668 | + | 0.0184300i | ||||
\(892\) | 2.88129 | − | 1.28283i | 0.0964727 | − | 0.0429524i | ||||
\(893\) | −10.7346 | + | 18.5929i | −0.359221 | + | 0.622189i | ||||
\(894\) | −3.95316 | − | 6.84707i | −0.132213 | − | 0.229000i | ||||
\(895\) | −12.2851 | − | 8.92566i | −0.410646 | − | 0.298352i | ||||
\(896\) | 2.19805 | + | 0.467211i | 0.0734318 | + | 0.0156084i | ||||
\(897\) | 2.54110 | − | 7.82069i | 0.0848447 | − | 0.261125i | ||||
\(898\) | −10.0236 | −0.334492 | ||||||||
\(899\) | −1.34508 | + | 24.9285i | −0.0448609 | + | 0.831411i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 1.94928 | − | 5.99928i | 0.0649400 | − | 0.199865i | ||||
\(902\) | −0.315390 | − | 0.0670382i | −0.0105013 | − | 0.00223213i | ||||
\(903\) | 2.21524 | + | 1.60947i | 0.0737187 | + | 0.0535598i | ||||
\(904\) | −4.51884 | − | 7.82687i | −0.150295 | − | 0.260318i | ||||
\(905\) | −12.1888 | + | 21.1116i | −0.405169 | + | 0.701773i | ||||
\(906\) | 14.7090 | − | 6.54887i | 0.488674 | − | 0.217571i | ||||
\(907\) | −31.8765 | + | 23.1596i | −1.05844 | + | 0.769003i | −0.973800 | − | 0.227408i | \(-0.926975\pi\) |
−0.0846428 | + | 0.996411i | \(0.526975\pi\) | |||||||
\(908\) | 3.33939 | + | 1.48679i | 0.110821 | + | 0.0493409i | ||||
\(909\) | −4.86011 | + | 1.03305i | −0.161200 | + | 0.0342640i | ||||
\(910\) | −0.556261 | + | 5.29247i | −0.0184399 | + | 0.175444i | ||||
\(911\) | −28.4383 | − | 31.5839i | −0.942202 | − | 1.04642i | −0.998846 | − | 0.0480269i | \(-0.984707\pi\) |
0.0566441 | − | 0.998394i | \(-0.481960\pi\) | |||||||
\(912\) | 4.82120 | − | 5.35449i | 0.159646 | − | 0.177305i | ||||
\(913\) | 0.952562 | + | 9.06302i | 0.0315252 | + | 0.299942i | ||||
\(914\) | 9.20883 | + | 28.3419i | 0.304601 | + | 0.937466i | ||||
\(915\) | −1.63642 | − | 5.03639i | −0.0540984 | − | 0.166498i | ||||
\(916\) | 0.151624 | + | 1.44261i | 0.00500981 | + | 0.0476652i | ||||
\(917\) | −2.78572 | + | 3.09385i | −0.0919925 | + | 0.102168i | ||||
\(918\) | 0.691962 | + | 0.768502i | 0.0228382 | + | 0.0253643i | ||||
\(919\) | 0.561318 | − | 5.34058i | 0.0185162 | − | 0.176170i | −0.981355 | − | 0.192202i | \(-0.938437\pi\) |
0.999871 | + | 0.0160329i | \(0.00510364\pi\) | |||||||
\(920\) | 3.39651 | − | 0.721951i | 0.111980 | − | 0.0238020i | ||||
\(921\) | −13.3335 | − | 5.93646i | −0.439354 | − | 0.195613i | ||||
\(922\) | −17.8241 | + | 12.9500i | −0.587006 | + | 0.426485i | ||||
\(923\) | −12.5756 | + | 5.59900i | −0.413930 | + | 0.184293i | ||||
\(924\) | 1.05160 | − | 1.82142i | 0.0345951 | − | 0.0599204i | ||||
\(925\) | −1.47425 | − | 2.55347i | −0.0484729 | − | 0.0839575i | ||||
\(926\) | −13.7370 | − | 9.98049i | −0.451425 | − | 0.327979i | ||||
\(927\) | −17.5302 | − | 3.72616i | −0.575768 | − | 0.122383i | ||||
\(928\) | −1.38557 | + | 4.26435i | −0.0454836 | + | 0.139984i | ||||
\(929\) | −16.8351 | −0.552342 | −0.276171 | − | 0.961108i | \(-0.589066\pi\) | ||||
−0.276171 | + | 0.961108i | \(0.589066\pi\) | |||||||
\(930\) | 5.38027 | − | 1.43273i | 0.176426 | − | 0.0469811i | ||||
\(931\) | −14.0521 | −0.460538 | ||||||||
\(932\) | −1.48627 | + | 4.57428i | −0.0486845 | + | 0.149835i | ||||
\(933\) | 12.1666 | + | 2.58610i | 0.398317 | + | 0.0846650i | ||||
\(934\) | −33.8738 | − | 24.6108i | −1.10838 | − | 0.805289i | ||||
\(935\) | −0.483936 | − | 0.838202i | −0.0158264 | − | 0.0274121i | ||||
\(936\) | 1.18408 | − | 2.05088i | 0.0387028 | − | 0.0670351i | ||||
\(937\) | 36.3098 | − | 16.1662i | 1.18619 | − | 0.528125i | 0.283731 | − | 0.958904i | \(-0.408428\pi\) |
0.902458 | + | 0.430778i | \(0.141761\pi\) | |||||||
\(938\) | 4.39977 | − | 3.19662i | 0.143657 | − | 0.104373i | ||||
\(939\) | 8.34780 | + | 3.71668i | 0.272420 | + | 0.121289i | ||||
\(940\) | −2.91459 | + | 0.619515i | −0.0950634 | + | 0.0202063i | ||||
\(941\) | −3.32026 | + | 31.5901i | −0.108237 | + | 1.02981i | 0.796732 | + | 0.604332i | \(0.206560\pi\) |
−0.904970 | + | 0.425476i | \(0.860107\pi\) | |||||||
\(942\) | 1.03498 | + | 1.14946i | 0.0337215 | + | 0.0374515i | ||||
\(943\) | −0.800455 | + | 0.888995i | −0.0260664 | + | 0.0289497i | ||||
\(944\) | 1.20644 | + | 11.4785i | 0.0392663 | + | 0.373594i | ||||
\(945\) | −0.694411 | − | 2.13718i | −0.0225892 | − | 0.0695223i | ||||
\(946\) | 0.352419 | + | 1.08463i | 0.0114581 | + | 0.0352645i | ||||
\(947\) | −0.0295815 | − | 0.281449i | −0.000961269 | − | 0.00914586i | 0.994031 | − | 0.109100i | \(-0.0347970\pi\) |
−0.994992 | + | 0.0999544i | \(0.968130\pi\) | |||||||
\(948\) | −2.35676 | + | 2.61745i | −0.0765440 | + | 0.0850107i | ||||
\(949\) | −16.1406 | − | 17.9259i | −0.523945 | − | 0.581900i | ||||
\(950\) | −0.753146 | + | 7.16570i | −0.0244353 | + | 0.232486i | ||||
\(951\) | −4.89899 | + | 1.04131i | −0.158861 | + | 0.0337669i | ||||
\(952\) | −2.12293 | − | 0.945189i | −0.0688046 | − | 0.0306338i | ||||
\(953\) | 18.3920 | − | 13.3626i | 0.595775 | − | 0.432856i | −0.248602 | − | 0.968606i | \(-0.579971\pi\) |
0.844377 | + | 0.535750i | \(0.179971\pi\) | |||||||
\(954\) | 5.57251 | − | 2.48104i | 0.180417 | − | 0.0803267i | ||||
\(955\) | −2.68206 | + | 4.64547i | −0.0867894 | + | 0.150324i | ||||
\(956\) | −10.6956 | − | 18.5253i | −0.345920 | − | 0.599152i | ||||
\(957\) | 3.39508 | + | 2.46667i | 0.109747 | + | 0.0797362i | ||||
\(958\) | 13.7935 | + | 2.93190i | 0.445647 | + | 0.0947253i | ||||
\(959\) | 3.89955 | − | 12.0016i | 0.125923 | − | 0.387552i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | 26.8946 | − | 15.4169i | 0.867567 | − | 0.497321i | ||||
\(962\) | −6.98248 | −0.225124 | ||||||||
\(963\) | 0.178595 | − | 0.549660i | 0.00575515 | − | 0.0177125i | ||||
\(964\) | −10.1810 | − | 2.16404i | −0.327909 | − | 0.0696991i | ||||
\(965\) | 6.10066 | + | 4.43239i | 0.196387 | + | 0.142684i | ||||
\(966\) | −3.90151 | − | 6.75761i | −0.125529 | − | 0.217423i | ||||
\(967\) | −1.94747 | + | 3.37312i | −0.0626264 | + | 0.108472i | −0.895639 | − | 0.444782i | \(-0.853281\pi\) |
0.833012 | + | 0.553255i | \(0.186614\pi\) | |||||||
\(968\) | −9.24876 | + | 4.11781i | −0.297266 | + | 0.132351i | ||||
\(969\) | −6.02801 | + | 4.37960i | −0.193648 | + | 0.140693i | ||||
\(970\) | 14.9026 | + | 6.63505i | 0.478493 | + | 0.213039i | ||||
\(971\) | −51.4461 | + | 10.9352i | −1.65098 | + | 0.350928i | −0.937026 | − | 0.349260i | \(-0.886433\pi\) |
−0.713959 | + | 0.700188i | \(0.753100\pi\) | |||||||
\(972\) | −0.104528 | + | 0.994522i | −0.00335275 | + | 0.0318993i | ||||
\(973\) | −13.7549 | − | 15.2764i | −0.440963 | − | 0.489739i | ||||
\(974\) | 17.5043 | − | 19.4405i | 0.560875 | − | 0.622914i | ||||
\(975\) | 0.247539 | + | 2.35518i | 0.00792761 | + | 0.0754261i | ||||
\(976\) | −1.63642 | − | 5.03639i | −0.0523806 | − | 0.161211i | ||||
\(977\) | 1.93196 | + | 5.94595i | 0.0618087 | + | 0.190228i | 0.977193 | − | 0.212354i | \(-0.0681130\pi\) |
−0.915384 | + | 0.402582i | \(0.868113\pi\) | |||||||
\(978\) | −1.24404 | − | 11.8363i | −0.0397801 | − | 0.378482i | ||||
\(979\) | 1.23099 | − | 1.36715i | 0.0393425 | − | 0.0436942i | ||||
\(980\) | −1.30499 | − | 1.44934i | −0.0416863 | − | 0.0462973i | ||||
\(981\) | −1.88315 | + | 17.9170i | −0.0601244 | + | 0.572046i | ||||
\(982\) | −29.9814 | + | 6.37275i | −0.956746 | + | 0.203363i | ||||
\(983\) | −18.2595 | − | 8.12966i | −0.582388 | − | 0.259296i | 0.0943265 | − | 0.995541i | \(-0.469930\pi\) |
−0.676715 | + | 0.736245i | \(0.736597\pi\) | |||||||
\(984\) | −0.278711 | + | 0.202496i | −0.00888500 | + | 0.00645533i | ||||
\(985\) | −22.6582 | + | 10.0881i | −0.721951 | + | 0.321433i | ||||
\(986\) | 2.31840 | − | 4.01558i | 0.0738328 | − | 0.127882i | ||||
\(987\) | 3.34793 | + | 5.79879i | 0.106566 | + | 0.184578i | ||||
\(988\) | 13.8042 | + | 10.0294i | 0.439171 | + | 0.319076i | ||||
\(989\) | 4.13869 | + | 0.879706i | 0.131603 | + | 0.0279730i | ||||
\(990\) | 0.289220 | − | 0.890128i | 0.00919202 | − | 0.0282901i | ||||
\(991\) | −58.1464 | −1.84708 | −0.923540 | − | 0.383502i | \(-0.874718\pi\) | ||||
−0.923540 | + | 0.383502i | \(0.874718\pi\) | |||||||
\(992\) | 5.38027 | − | 1.43273i | 0.170824 | − | 0.0454892i | ||||
\(993\) | −16.9955 | −0.539337 | ||||||||
\(994\) | −4.03649 | + | 12.4230i | −0.128030 | + | 0.394035i | ||||
\(995\) | 21.8845 | + | 4.65169i | 0.693784 | + | 0.147468i | ||||
\(996\) | 7.87716 | + | 5.72309i | 0.249597 | + | 0.181343i | ||||
\(997\) | 0.815359 | + | 1.41224i | 0.0258227 | + | 0.0447262i | 0.878648 | − | 0.477470i | \(-0.158446\pi\) |
−0.852825 | + | 0.522196i | \(0.825113\pi\) | |||||||
\(998\) | 18.5654 | − | 32.1563i | 0.587679 | − | 1.01789i | ||||
\(999\) | 2.69358 | − | 1.19926i | 0.0852211 | − | 0.0379429i |
(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 | 930.2.bg.g.691.1 | ✓ | 24 | |
31.7 | even | 15 | inner | 930.2.bg.g.751.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.g.691.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
930.2.bg.g.751.1 | yes | 24 | 31.7 | even | 15 | inner |