Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(9,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([63, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bg (of order \(90\), degree \(24\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{90})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{90}]$ |
Embedding invariants
Embedding label | 739.20 | ||
Character | \(\chi\) | \(=\) | 950.739 |
Dual form | 950.2.bg.a.9.20 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.898794 | + | 0.438371i | −0.635543 | + | 0.309975i | ||||
\(3\) | 1.25757 | + | 2.01253i | 0.726058 | + | 1.16194i | 0.980817 | + | 0.194931i | \(0.0624484\pi\) |
−0.254759 | + | 0.967005i | \(0.581996\pi\) | |||||||
\(4\) | 0.615661 | − | 0.788011i | 0.307831 | − | 0.394005i | ||||
\(5\) | −0.556445 | − | 2.16573i | −0.248850 | − | 0.968542i | ||||
\(6\) | −2.01253 | − | 1.25757i | −0.821613 | − | 0.513401i | ||||
\(7\) | −1.28276 | + | 0.740599i | −0.484836 | + | 0.279920i | −0.722430 | − | 0.691444i | \(-0.756975\pi\) |
0.237594 | + | 0.971365i | \(0.423641\pi\) | |||||||
\(8\) | −0.207912 | + | 0.978148i | −0.0735079 | + | 0.345827i | ||||
\(9\) | −1.15369 | + | 2.36542i | −0.384564 | + | 0.788472i | ||||
\(10\) | 1.44952 | + | 1.70261i | 0.458379 | + | 0.538413i | ||||
\(11\) | 0.568513 | + | 5.40904i | 0.171413 | + | 1.63089i | 0.655027 | + | 0.755606i | \(0.272657\pi\) |
−0.483613 | + | 0.875282i | \(0.660676\pi\) | |||||||
\(12\) | 2.36013 | + | 0.248060i | 0.681312 | + | 0.0716088i | ||||
\(13\) | −0.105241 | − | 1.50501i | −0.0291885 | − | 0.417415i | −0.990081 | − | 0.140495i | \(-0.955131\pi\) |
0.960893 | − | 0.276920i | \(-0.0893138\pi\) | |||||||
\(14\) | 0.828276 | − | 1.22797i | 0.221366 | − | 0.328189i | ||||
\(15\) | 3.65882 | − | 3.84341i | 0.944705 | − | 0.992365i | ||||
\(16\) | −0.241922 | − | 0.970296i | −0.0604805 | − | 0.242574i | ||||
\(17\) | 0.217640 | + | 1.54859i | 0.0527856 | + | 0.375589i | 0.998691 | + | 0.0511468i | \(0.0162876\pi\) |
−0.945906 | + | 0.324442i | \(0.894823\pi\) | |||||||
\(18\) | − | 2.63177i | − | 0.620313i | ||||||
\(19\) | 3.87092 | + | 2.00399i | 0.888050 | + | 0.459748i | ||||
\(20\) | −2.04920 | − | 0.894870i | −0.458214 | − | 0.200099i | ||||
\(21\) | −3.10363 | − | 1.65023i | −0.677269 | − | 0.360110i | ||||
\(22\) | −2.88214 | − | 4.61240i | −0.614475 | − | 0.983366i | ||||
\(23\) | 0.304537 | + | 1.06205i | 0.0635004 | + | 0.221452i | 0.986613 | − | 0.163076i | \(-0.0521417\pi\) |
−0.923113 | + | 0.384529i | \(0.874364\pi\) | |||||||
\(24\) | −2.23002 | + | 0.811660i | −0.455200 | + | 0.165679i | ||||
\(25\) | −4.38074 | + | 2.41021i | −0.876148 | + | 0.482043i | ||||
\(26\) | 0.754343 | + | 1.30656i | 0.147939 | + | 0.256238i | ||||
\(27\) | 0.869080 | − | 0.0913440i | 0.167255 | − | 0.0175792i | ||||
\(28\) | −0.206143 | + | 1.46678i | −0.0389574 | + | 0.277196i | ||||
\(29\) | −7.16469 | − | 1.00693i | −1.33045 | − | 0.186983i | −0.562130 | − | 0.827049i | \(-0.690018\pi\) |
−0.768320 | + | 0.640066i | \(0.778907\pi\) | |||||||
\(30\) | −1.60369 | + | 5.05836i | −0.292792 | + | 0.923526i | ||||
\(31\) | −4.31595 | + | 4.79335i | −0.775167 | + | 0.860910i | −0.993366 | − | 0.114994i | \(-0.963315\pi\) |
0.218199 | + | 0.975904i | \(0.429982\pi\) | |||||||
\(32\) | 0.642788 | + | 0.766044i | 0.113630 | + | 0.135419i | ||||
\(33\) | −10.1709 | + | 7.94640i | −1.77053 | + | 1.38329i | ||||
\(34\) | −0.874472 | − | 1.29646i | −0.149971 | − | 0.222341i | ||||
\(35\) | 2.31772 | + | 2.36599i | 0.391766 | + | 0.399926i | ||||
\(36\) | 1.15369 | + | 2.36542i | 0.192282 | + | 0.394236i | ||||
\(37\) | 1.29986 | − | 1.78911i | 0.213696 | − | 0.294128i | −0.688690 | − | 0.725056i | \(-0.741814\pi\) |
0.902386 | + | 0.430928i | \(0.141814\pi\) | |||||||
\(38\) | −4.35765 | − | 0.104279i | −0.706904 | − | 0.0169163i | ||||
\(39\) | 2.89654 | − | 2.10446i | 0.463817 | − | 0.336983i | ||||
\(40\) | 2.23409 | − | 0.0940055i | 0.353241 | − | 0.0148636i | ||||
\(41\) | 2.74665 | + | 11.0162i | 0.428954 | + | 1.72044i | 0.663357 | + | 0.748303i | \(0.269131\pi\) |
−0.234403 | + | 0.972140i | \(0.575314\pi\) | |||||||
\(42\) | 3.51294 | + | 0.122675i | 0.542059 | + | 0.0189291i | ||||
\(43\) | 1.67190 | + | 4.59351i | 0.254962 | + | 0.700503i | 0.999459 | + | 0.0328775i | \(0.0104671\pi\) |
−0.744497 | + | 0.667626i | \(0.767311\pi\) | |||||||
\(44\) | 4.61240 | + | 2.88214i | 0.695345 | + | 0.434500i | ||||
\(45\) | 5.76481 | + | 1.18235i | 0.859367 | + | 0.176255i | ||||
\(46\) | −0.739288 | − | 0.821062i | −0.109002 | − | 0.121059i | ||||
\(47\) | 1.08155 | − | 7.69565i | 0.157761 | − | 1.12253i | −0.736972 | − | 0.675924i | \(-0.763745\pi\) |
0.894732 | − | 0.446603i | \(-0.147366\pi\) | |||||||
\(48\) | 1.64852 | − | 1.70709i | 0.237943 | − | 0.246397i | ||||
\(49\) | −2.40303 | + | 4.16216i | −0.343289 | + | 0.594595i | ||||
\(50\) | 2.88081 | − | 4.08668i | 0.407408 | − | 0.577943i | ||||
\(51\) | −2.84289 | + | 2.38547i | −0.398085 | + | 0.334033i | ||||
\(52\) | −1.25076 | − | 0.843647i | −0.173449 | − | 0.116993i | ||||
\(53\) | 6.62366 | + | 5.17497i | 0.909830 | + | 0.710837i | 0.957624 | − | 0.288020i | \(-0.0929969\pi\) |
−0.0477941 | + | 0.998857i | \(0.515219\pi\) | |||||||
\(54\) | −0.741081 | + | 0.463079i | −0.100848 | + | 0.0630171i | ||||
\(55\) | 11.3982 | − | 4.24108i | 1.53693 | − | 0.571867i | ||||
\(56\) | −0.457716 | − | 1.40870i | −0.0611648 | − | 0.188246i | ||||
\(57\) | 0.834846 | + | 10.3105i | 0.110578 | + | 1.36566i | ||||
\(58\) | 6.88099 | − | 2.23577i | 0.903518 | − | 0.293571i | ||||
\(59\) | −10.0740 | + | 9.72832i | −1.31152 | + | 1.26652i | −0.370220 | + | 0.928944i | \(0.620718\pi\) |
−0.941299 | + | 0.337575i | \(0.890393\pi\) | |||||||
\(60\) | −0.776054 | − | 5.24944i | −0.100188 | − | 0.677699i | ||||
\(61\) | −8.02140 | + | 2.30010i | −1.02703 | + | 0.294497i | −0.746527 | − | 0.665355i | \(-0.768280\pi\) |
−0.280507 | + | 0.959852i | \(0.590503\pi\) | |||||||
\(62\) | 1.77788 | − | 6.20022i | 0.225792 | − | 0.787429i | ||||
\(63\) | −0.271923 | − | 3.88867i | −0.0342590 | − | 0.489927i | ||||
\(64\) | −0.913545 | − | 0.406737i | −0.114193 | − | 0.0508421i | ||||
\(65\) | −3.20088 | + | 1.06538i | −0.397020 | + | 0.132144i | ||||
\(66\) | 5.65810 | − | 11.6008i | 0.696463 | − | 1.42796i | ||||
\(67\) | −6.17785 | − | 11.6188i | −0.754744 | − | 1.41947i | −0.902610 | − | 0.430460i | \(-0.858351\pi\) |
0.147866 | − | 0.989007i | \(-0.452760\pi\) | |||||||
\(68\) | 1.35430 | + | 0.781906i | 0.164233 | + | 0.0948200i | ||||
\(69\) | −1.75443 | + | 1.94849i | −0.211208 | + | 0.234571i | ||||
\(70\) | −3.12033 | − | 1.11052i | −0.372951 | − | 0.132733i | ||||
\(71\) | 0.296805 | + | 8.49939i | 0.0352243 | + | 1.00869i | 0.880408 | + | 0.474216i | \(0.157269\pi\) |
−0.845184 | + | 0.534475i | \(0.820509\pi\) | |||||||
\(72\) | −2.07386 | − | 1.62028i | −0.244407 | − | 0.190952i | ||||
\(73\) | 0.760636 | − | 10.8776i | 0.0890257 | − | 1.27313i | −0.723550 | − | 0.690272i | \(-0.757491\pi\) |
0.812576 | − | 0.582855i | \(-0.198064\pi\) | |||||||
\(74\) | −0.384016 | + | 2.17786i | −0.0446410 | + | 0.253171i | ||||
\(75\) | −10.3597 | − | 5.78536i | −1.19624 | − | 0.668036i | ||||
\(76\) | 3.96234 | − | 1.81654i | 0.454512 | − | 0.208372i | ||||
\(77\) | −4.73520 | − | 6.51744i | −0.539626 | − | 0.742731i | ||||
\(78\) | −1.68086 | + | 3.16123i | −0.190319 | + | 0.357939i | ||||
\(79\) | 9.20231 | − | 5.75024i | 1.03534 | − | 0.646953i | 0.0979353 | − | 0.995193i | \(-0.468776\pi\) |
0.937405 | + | 0.348240i | \(0.113221\pi\) | |||||||
\(80\) | −1.96678 | + | 1.06385i | −0.219893 | + | 0.118942i | ||||
\(81\) | 6.13759 | + | 7.85576i | 0.681955 | + | 0.872862i | ||||
\(82\) | −7.29786 | − | 8.69725i | −0.805914 | − | 0.960450i | ||||
\(83\) | 5.12674 | + | 4.61614i | 0.562733 | + | 0.506687i | 0.900683 | − | 0.434477i | \(-0.143067\pi\) |
−0.337950 | + | 0.941164i | \(0.609733\pi\) | |||||||
\(84\) | −3.21119 | + | 1.42971i | −0.350369 | + | 0.155994i | ||||
\(85\) | 3.23272 | − | 1.33306i | 0.350638 | − | 0.144590i | ||||
\(86\) | −3.51635 | − | 3.39570i | −0.379178 | − | 0.366168i | ||||
\(87\) | −6.98362 | − | 15.6855i | −0.748722 | − | 1.68166i | ||||
\(88\) | −5.40904 | − | 0.568513i | −0.576606 | − | 0.0606037i | ||||
\(89\) | 0.717426 | − | 2.87744i | 0.0760470 | − | 0.305008i | −0.920213 | − | 0.391419i | \(-0.871984\pi\) |
0.996260 | + | 0.0864111i | \(0.0275398\pi\) | |||||||
\(90\) | −5.69969 | + | 1.46443i | −0.600800 | + | 0.154365i | ||||
\(91\) | 1.24961 | + | 1.85262i | 0.130995 | + | 0.194207i | ||||
\(92\) | 1.02440 | + | 0.413883i | 0.106801 | + | 0.0431503i | ||||
\(93\) | −15.0744 | − | 2.65802i | −1.56314 | − | 0.275624i | ||||
\(94\) | 2.40146 | + | 7.39093i | 0.247691 | + | 0.762316i | ||||
\(95\) | 2.18615 | − | 9.49846i | 0.224294 | − | 0.974521i | ||||
\(96\) | −0.733339 | + | 2.25698i | −0.0748461 | + | 0.230353i | ||||
\(97\) | 3.04028 | − | 5.71794i | 0.308694 | − | 0.580569i | −0.679518 | − | 0.733658i | \(-0.737811\pi\) |
0.988212 | + | 0.153090i | \(0.0489224\pi\) | |||||||
\(98\) | 0.335253 | − | 4.79434i | 0.0338657 | − | 0.484302i | ||||
\(99\) | −13.4505 | − | 4.89559i | −1.35183 | − | 0.492025i | ||||
\(100\) | −0.797777 | + | 4.93594i | −0.0797777 | + | 0.493594i | ||||
\(101\) | 4.50655 | − | 3.78144i | 0.448418 | − | 0.376268i | −0.390430 | − | 0.920633i | \(-0.627674\pi\) |
0.838849 | + | 0.544365i | \(0.183229\pi\) | |||||||
\(102\) | 1.50945 | − | 3.39029i | 0.149458 | − | 0.335689i | ||||
\(103\) | −9.76707 | + | 8.79431i | −0.962378 | + | 0.866529i | −0.991108 | − | 0.133058i | \(-0.957520\pi\) |
0.0287304 | + | 0.999587i | \(0.490854\pi\) | |||||||
\(104\) | 1.49400 | + | 0.209969i | 0.146499 | + | 0.0205891i | ||||
\(105\) | −1.84695 | + | 7.63988i | −0.180244 | + | 0.745576i | ||||
\(106\) | −8.22187 | − | 1.74761i | −0.798579 | − | 0.169743i | ||||
\(107\) | 8.48302 | − | 4.89767i | 0.820084 | − | 0.473476i | −0.0303611 | − | 0.999539i | \(-0.509666\pi\) |
0.850446 | + | 0.526063i | \(0.176332\pi\) | |||||||
\(108\) | 0.463079 | − | 0.741081i | 0.0445598 | − | 0.0713106i | ||||
\(109\) | −7.26519 | − | 2.08326i | −0.695879 | − | 0.199540i | −0.0909923 | − | 0.995852i | \(-0.529004\pi\) |
−0.604887 | + | 0.796311i | \(0.706782\pi\) | |||||||
\(110\) | −8.38543 | + | 8.80848i | −0.799519 | + | 0.839855i | ||||
\(111\) | 5.23531 | + | 0.366088i | 0.496913 | + | 0.0347476i | ||||
\(112\) | 1.02893 | + | 1.06549i | 0.0972245 | + | 0.100679i | ||||
\(113\) | 0.484414 | − | 0.666739i | 0.0455699 | − | 0.0627215i | −0.785624 | − | 0.618704i | \(-0.787658\pi\) |
0.831194 | + | 0.555983i | \(0.187658\pi\) | |||||||
\(114\) | −5.27018 | − | 8.90105i | −0.493598 | − | 0.833660i | ||||
\(115\) | 2.13065 | − | 1.25052i | 0.198684 | − | 0.116611i | ||||
\(116\) | −5.20450 | + | 5.02592i | −0.483225 | + | 0.466645i | ||||
\(117\) | 3.68139 | + | 1.48738i | 0.340345 | + | 0.137508i | ||||
\(118\) | 4.78981 | − | 13.1599i | 0.440938 | − | 1.21147i | ||||
\(119\) | −1.42607 | − | 1.82528i | −0.130727 | − | 0.167323i | ||||
\(120\) | 2.99871 | + | 4.37796i | 0.273744 | + | 0.399651i | ||||
\(121\) | −18.1749 | + | 3.86320i | −1.65226 | + | 0.351200i | ||||
\(122\) | 6.20129 | − | 5.58366i | 0.561438 | − | 0.505521i | ||||
\(123\) | −18.7164 | + | 19.3814i | −1.68760 | + | 1.74756i | ||||
\(124\) | 1.12005 | + | 6.35209i | 0.100583 | + | 0.570435i | ||||
\(125\) | 7.65750 | + | 8.14633i | 0.684908 | + | 0.728630i | ||||
\(126\) | 1.94908 | + | 3.37591i | 0.173638 | + | 0.300750i | ||||
\(127\) | 16.1179 | + | 4.01865i | 1.43023 | + | 0.356598i | 0.878628 | − | 0.477507i | \(-0.158459\pi\) |
0.551607 | + | 0.834104i | \(0.314015\pi\) | |||||||
\(128\) | 0.999391 | − | 0.0348995i | 0.0883345 | − | 0.00308471i | ||||
\(129\) | −7.14205 | + | 9.14141i | −0.628822 | + | 0.804856i | ||||
\(130\) | 2.40990 | − | 2.36073i | 0.211362 | − | 0.207050i | ||||
\(131\) | 10.0072 | − | 1.40642i | 0.874331 | − | 0.122879i | 0.312289 | − | 0.949987i | \(-0.398904\pi\) |
0.562043 | + | 0.827108i | \(0.310016\pi\) | |||||||
\(132\) | 12.9071i | 1.12342i | ||||||||
\(133\) | −6.44960 | + | 0.296164i | −0.559251 | + | 0.0256807i | ||||
\(134\) | 10.6460 | + | 7.73475i | 0.919672 | + | 0.668181i | ||||
\(135\) | −0.681421 | − | 1.83136i | −0.0586474 | − | 0.157619i | ||||
\(136\) | −1.56000 | − | 0.109086i | −0.133769 | − | 0.00935405i | ||||
\(137\) | −3.90405 | + | 2.63331i | −0.333545 | + | 0.224979i | −0.714534 | − | 0.699600i | \(-0.753361\pi\) |
0.380989 | + | 0.924580i | \(0.375584\pi\) | |||||||
\(138\) | 0.722708 | − | 2.52038i | 0.0615210 | − | 0.214549i | ||||
\(139\) | 4.14098 | − | 16.6086i | 0.351234 | − | 1.40872i | −0.491729 | − | 0.870748i | \(-0.663635\pi\) |
0.842962 | − | 0.537972i | \(-0.180810\pi\) | |||||||
\(140\) | 3.29136 | − | 0.369735i | 0.278171 | − | 0.0312483i | ||||
\(141\) | 16.8479 | − | 7.50116i | 1.41885 | − | 0.631711i | ||||
\(142\) | −3.99265 | − | 7.50909i | −0.335056 | − | 0.630149i | ||||
\(143\) | 8.08084 | − | 1.42487i | 0.675754 | − | 0.119154i | ||||
\(144\) | 2.57426 | + | 0.547175i | 0.214521 | + | 0.0455979i | ||||
\(145\) | 1.80602 | + | 16.0771i | 0.149982 | + | 1.33513i | ||||
\(146\) | 4.08477 | + | 10.1102i | 0.338058 | + | 0.836723i | ||||
\(147\) | −11.3985 | + | 0.398043i | −0.940129 | + | 0.0328300i | ||||
\(148\) | −0.609561 | − | 2.12579i | −0.0501056 | − | 0.174739i | ||||
\(149\) | −6.28916 | − | 5.27723i | −0.515228 | − | 0.432328i | 0.347736 | − | 0.937592i | \(-0.386950\pi\) |
−0.862964 | + | 0.505265i | \(0.831395\pi\) | |||||||
\(150\) | 11.8474 | + | 0.658450i | 0.967335 | + | 0.0537622i | ||||
\(151\) | 3.98384 | 0.324200 | 0.162100 | − | 0.986774i | \(-0.448173\pi\) | ||||
0.162100 | + | 0.986774i | \(0.448173\pi\) | |||||||
\(152\) | −2.76501 | + | 3.36968i | −0.224272 | + | 0.273317i | ||||
\(153\) | −3.91416 | − | 1.27179i | −0.316441 | − | 0.102818i | ||||
\(154\) | 7.11302 | + | 3.78206i | 0.573184 | + | 0.304767i | ||||
\(155\) | 12.7827 | + | 6.67993i | 1.02673 | + | 0.536545i | ||||
\(156\) | 0.124951 | − | 3.57813i | 0.0100041 | − | 0.286480i | ||||
\(157\) | −1.97249 | − | 5.41937i | −0.157422 | − | 0.432513i | 0.835759 | − | 0.549096i | \(-0.185028\pi\) |
−0.993181 | + | 0.116584i | \(0.962806\pi\) | |||||||
\(158\) | −5.75024 | + | 9.20231i | −0.457465 | + | 0.732096i | ||||
\(159\) | −2.08508 | + | 19.8382i | −0.165358 | + | 1.57327i | ||||
\(160\) | 1.30137 | − | 1.81836i | 0.102882 | − | 0.143754i | ||||
\(161\) | −1.17720 | − | 1.13681i | −0.0927763 | − | 0.0895930i | ||||
\(162\) | −8.96017 | − | 4.37017i | −0.703978 | − | 0.343353i | ||||
\(163\) | 2.93607 | + | 6.59452i | 0.229971 | + | 0.516522i | 0.991265 | − | 0.131884i | \(-0.0421025\pi\) |
−0.761295 | + | 0.648406i | \(0.775436\pi\) | |||||||
\(164\) | 10.3719 | + | 4.61786i | 0.809909 | + | 0.360595i | ||||
\(165\) | 22.8693 | + | 17.6057i | 1.78037 | + | 1.37060i | ||||
\(166\) | −6.63147 | − | 1.90154i | −0.514702 | − | 0.147588i | ||||
\(167\) | 17.3789 | + | 0.606884i | 1.34482 | + | 0.0469621i | 0.698228 | − | 0.715876i | \(-0.253972\pi\) |
0.646590 | + | 0.762838i | \(0.276194\pi\) | |||||||
\(168\) | 2.25945 | − | 2.69271i | 0.174321 | − | 0.207747i | ||||
\(169\) | 10.6195 | − | 1.49247i | 0.816885 | − | 0.114806i | ||||
\(170\) | −2.32118 | + | 2.61528i | −0.178026 | + | 0.200582i | ||||
\(171\) | −9.20612 | + | 6.84434i | −0.704010 | + | 0.523400i | ||||
\(172\) | 4.64906 | + | 1.51057i | 0.354487 | + | 0.115180i | ||||
\(173\) | −17.4543 | + | 8.51305i | −1.32703 | + | 0.647235i | −0.959219 | − | 0.282665i | \(-0.908781\pi\) |
−0.367810 | + | 0.929901i | \(0.619892\pi\) | |||||||
\(174\) | 13.1529 | + | 11.0366i | 0.997117 | + | 0.836681i | ||||
\(175\) | 3.83441 | − | 6.33609i | 0.289854 | − | 0.478963i | ||||
\(176\) | 5.11083 | − | 1.86019i | 0.385244 | − | 0.140217i | ||||
\(177\) | −32.2473 | − | 8.04014i | −2.42385 | − | 0.604334i | ||||
\(178\) | 0.616568 | + | 2.90072i | 0.0462137 | + | 0.217419i | ||||
\(179\) | 12.4390 | + | 13.8149i | 0.929736 | + | 1.03258i | 0.999387 | + | 0.0350054i | \(0.0111448\pi\) |
−0.0696508 | + | 0.997571i | \(0.522188\pi\) | |||||||
\(180\) | 4.48088 | − | 3.81480i | 0.333985 | − | 0.284339i | ||||
\(181\) | 19.6761 | − | 10.4620i | 1.46252 | − | 0.777633i | 0.468151 | − | 0.883648i | \(-0.344920\pi\) |
0.994365 | + | 0.106015i | \(0.0338091\pi\) | |||||||
\(182\) | −1.93528 | − | 1.11733i | −0.143452 | − | 0.0828222i | ||||
\(183\) | −14.7165 | − | 13.2508i | −1.08787 | − | 0.979526i | ||||
\(184\) | −1.10216 | + | 0.0770703i | −0.0812521 | + | 0.00568170i | ||||
\(185\) | −4.59802 | − | 1.81961i | −0.338053 | − | 0.133780i | ||||
\(186\) | 14.7140 | − | 4.21916i | 1.07888 | − | 0.309364i | ||||
\(187\) | −8.25267 | + | 2.05762i | −0.603495 | + | 0.150468i | ||||
\(188\) | −5.39839 | − | 5.59019i | −0.393718 | − | 0.407707i | ||||
\(189\) | −1.04717 | + | 0.760812i | −0.0761703 | + | 0.0553409i | ||||
\(190\) | 2.19895 | + | 9.49550i | 0.159529 | + | 0.688876i | ||||
\(191\) | −18.1870 | − | 13.2136i | −1.31597 | − | 0.956106i | −0.999973 | − | 0.00734422i | \(-0.997662\pi\) |
−0.315993 | − | 0.948761i | \(-0.602338\pi\) | |||||||
\(192\) | −0.330276 | − | 2.35004i | −0.0238357 | − | 0.169599i | ||||
\(193\) | 9.53931 | − | 11.3685i | 0.686655 | − | 0.818323i | −0.304292 | − | 0.952579i | \(-0.598420\pi\) |
0.990947 | + | 0.134256i | \(0.0428643\pi\) | |||||||
\(194\) | −0.226008 | + | 6.47202i | −0.0162264 | + | 0.464664i | ||||
\(195\) | −6.16944 | − | 5.10209i | −0.441803 | − | 0.365368i | ||||
\(196\) | 1.80038 | + | 4.45609i | 0.128598 | + | 0.318292i | ||||
\(197\) | 1.25324 | + | 5.89604i | 0.0892898 | + | 0.420076i | 0.999976 | + | 0.00697596i | \(0.00222054\pi\) |
−0.910686 | + | 0.413100i | \(0.864446\pi\) | |||||||
\(198\) | 14.2353 | − | 1.49619i | 1.01166 | − | 0.106330i | ||||
\(199\) | −2.87670 | − | 16.3146i | −0.203924 | − | 1.15651i | −0.899124 | − | 0.437693i | \(-0.855796\pi\) |
0.695201 | − | 0.718816i | \(-0.255316\pi\) | |||||||
\(200\) | −1.44674 | − | 4.78612i | −0.102300 | − | 0.338430i | ||||
\(201\) | 15.6142 | − | 27.0446i | 1.10134 | − | 1.90758i | ||||
\(202\) | −2.39278 | + | 5.37428i | −0.168356 | + | 0.378133i | ||||
\(203\) | 9.93628 | − | 4.01452i | 0.697390 | − | 0.281764i | ||||
\(204\) | 0.129517 | + | 3.70887i | 0.00906799 | + | 0.259673i | ||||
\(205\) | 22.3297 | − | 12.0784i | 1.55958 | − | 0.843592i | ||||
\(206\) | 4.92341 | − | 12.1859i | 0.343030 | − | 0.849030i | ||||
\(207\) | −2.86353 | − | 0.504917i | −0.199029 | − | 0.0350942i | ||||
\(208\) | −1.43485 | + | 0.466210i | −0.0994887 | + | 0.0323258i | ||||
\(209\) | −8.63902 | + | 22.0773i | −0.597574 | + | 1.52712i | ||||
\(210\) | −1.68908 | − | 7.67633i | −0.116558 | − | 0.529717i | ||||
\(211\) | −7.74708 | − | 15.8839i | −0.533331 | − | 1.09349i | −0.980038 | − | 0.198810i | \(-0.936292\pi\) |
0.446707 | − | 0.894680i | \(-0.352597\pi\) | |||||||
\(212\) | 8.15587 | − | 2.03349i | 0.560147 | − | 0.139660i | ||||
\(213\) | −16.7320 | + | 11.2859i | −1.14646 | + | 0.773297i | ||||
\(214\) | −5.47749 | + | 8.12071i | −0.374433 | + | 0.555120i | ||||
\(215\) | 9.01796 | − | 6.17691i | 0.615020 | − | 0.421262i | ||||
\(216\) | −0.0913440 | + | 0.869080i | −0.00621517 | + | 0.0591334i | ||||
\(217\) | 1.98636 | − | 9.34508i | 0.134843 | − | 0.634385i | ||||
\(218\) | 7.44315 | − | 1.31243i | 0.504114 | − | 0.0888889i | ||||
\(219\) | 22.8481 | − | 12.1485i | 1.54393 | − | 0.820922i | ||||
\(220\) | 3.67539 | − | 11.5929i | 0.247795 | − | 0.781596i | ||||
\(221\) | 2.30774 | − | 0.490526i | 0.155236 | − | 0.0329964i | ||||
\(222\) | −4.86595 | + | 1.96597i | −0.326581 | + | 0.131947i | ||||
\(223\) | −0.0568403 | − | 0.0383393i | −0.00380631 | − | 0.00256739i | 0.557288 | − | 0.830319i | \(-0.311842\pi\) |
−0.561095 | + | 0.827752i | \(0.689620\pi\) | |||||||
\(224\) | −1.39187 | − | 0.506600i | −0.0929983 | − | 0.0338486i | ||||
\(225\) | −0.647144 | − | 13.1429i | −0.0431429 | − | 0.876194i | ||||
\(226\) | −0.143110 | + | 0.811614i | −0.00951950 | + | 0.0539878i | ||||
\(227\) | 7.76283 | + | 10.6846i | 0.515237 | + | 0.709163i | 0.984791 | − | 0.173740i | \(-0.0555853\pi\) |
−0.469554 | + | 0.882904i | \(0.655585\pi\) | |||||||
\(228\) | 8.63877 | + | 5.68992i | 0.572117 | + | 0.376824i | ||||
\(229\) | −1.26580 | + | 3.89572i | −0.0836462 | + | 0.257437i | −0.984129 | − | 0.177455i | \(-0.943213\pi\) |
0.900483 | + | 0.434892i | \(0.143213\pi\) | |||||||
\(230\) | −1.36682 | + | 2.05797i | −0.0901256 | + | 0.135699i | ||||
\(231\) | 7.16172 | − | 17.7259i | 0.471206 | − | 1.16628i | ||||
\(232\) | 2.47455 | − | 6.79877i | 0.162462 | − | 0.446361i | ||||
\(233\) | 7.88191 | − | 6.15802i | 0.516361 | − | 0.403426i | −0.323499 | − | 0.946229i | \(-0.604859\pi\) |
0.839860 | + | 0.542803i | \(0.182637\pi\) | |||||||
\(234\) | −3.96084 | + | 0.276969i | −0.258928 | + | 0.0181060i | ||||
\(235\) | −17.2685 | + | 1.93986i | −1.12647 | + | 0.126542i | ||||
\(236\) | 1.46386 | + | 13.9277i | 0.0952895 | + | 0.906619i | ||||
\(237\) | 23.1451 | + | 11.2886i | 1.50344 | + | 0.733274i | ||||
\(238\) | 2.08189 | + | 1.01541i | 0.134949 | + | 0.0658190i | ||||
\(239\) | 0.699784 | + | 6.65800i | 0.0452653 | + | 0.430670i | 0.993562 | + | 0.113286i | \(0.0361377\pi\) |
−0.948297 | + | 0.317384i | \(0.897196\pi\) | |||||||
\(240\) | −4.61440 | − | 2.62034i | −0.297858 | − | 0.169142i | ||||
\(241\) | 11.7712 | − | 0.823121i | 0.758248 | − | 0.0530219i | 0.314602 | − | 0.949224i | \(-0.398129\pi\) |
0.443646 | + | 0.896202i | \(0.353685\pi\) | |||||||
\(242\) | 14.6420 | − | 11.4396i | 0.941222 | − | 0.735363i | ||||
\(243\) | −7.19488 | + | 19.7678i | −0.461552 | + | 1.26810i | ||||
\(244\) | −3.12596 | + | 7.73703i | −0.200119 | + | 0.495312i | ||||
\(245\) | 10.3513 | + | 2.88828i | 0.661317 | + | 0.184525i | ||||
\(246\) | 8.32593 | − | 25.6246i | 0.530842 | − | 1.63376i | ||||
\(247\) | 2.60866 | − | 6.03668i | 0.165985 | − | 0.384105i | ||||
\(248\) | −3.79126 | − | 5.21823i | −0.240746 | − | 0.331358i | ||||
\(249\) | −2.84289 | + | 16.1229i | −0.180161 | + | 1.02174i | ||||
\(250\) | −10.4536 | − | 3.96504i | −0.661146 | − | 0.250771i | ||||
\(251\) | 1.52450 | + | 0.554872i | 0.0962255 | + | 0.0350232i | 0.389684 | − | 0.920949i | \(-0.372584\pi\) |
−0.293459 | + | 0.955972i | \(0.594806\pi\) | |||||||
\(252\) | −3.23173 | − | 2.17983i | −0.203580 | − | 0.137316i | ||||
\(253\) | −5.57153 | + | 2.25104i | −0.350279 | + | 0.141522i | ||||
\(254\) | −16.2484 | + | 3.45369i | −1.01951 | + | 0.216704i | ||||
\(255\) | 6.74819 | + | 4.82955i | 0.422588 | + | 0.302438i | ||||
\(256\) | −0.882948 | + | 0.469472i | −0.0551842 | + | 0.0293420i | ||||
\(257\) | 1.28808 | − | 0.227122i | 0.0803479 | − | 0.0141675i | −0.133330 | − | 0.991072i | \(-0.542567\pi\) |
0.213678 | + | 0.976904i | \(0.431456\pi\) | |||||||
\(258\) | 2.41190 | − | 11.3471i | 0.150159 | − | 0.706440i | ||||
\(259\) | −0.342395 | + | 3.25767i | −0.0212754 | + | 0.202422i | ||||
\(260\) | −1.13113 | + | 3.17824i | −0.0701497 | + | 0.197106i | ||||
\(261\) | 10.6476 | − | 15.7858i | 0.659073 | − | 0.977116i | ||||
\(262\) | −8.37786 | + | 5.65094i | −0.517586 | + | 0.349116i | ||||
\(263\) | −14.1586 | + | 3.53013i | −0.873056 | + | 0.217677i | −0.652584 | − | 0.757716i | \(-0.726315\pi\) |
−0.220472 | + | 0.975393i | \(0.570760\pi\) | |||||||
\(264\) | −5.65810 | − | 11.6008i | −0.348232 | − | 0.713981i | ||||
\(265\) | 7.52187 | − | 17.2246i | 0.462065 | − | 1.05810i | ||||
\(266\) | 5.66703 | − | 3.09351i | 0.347468 | − | 0.189675i | ||||
\(267\) | 6.69315 | − | 2.17474i | 0.409614 | − | 0.133092i | ||||
\(268\) | −12.9592 | − | 2.28506i | −0.791611 | − | 0.139582i | ||||
\(269\) | 4.06012 | − | 10.0492i | 0.247550 | − | 0.612708i | −0.751335 | − | 0.659921i | \(-0.770590\pi\) |
0.998885 | + | 0.0472135i | \(0.0150341\pi\) | |||||||
\(270\) | 1.41527 | + | 1.34730i | 0.0861308 | + | 0.0819942i | ||||
\(271\) | −0.205294 | − | 5.87884i | −0.0124707 | − | 0.357114i | −0.989546 | − | 0.144219i | \(-0.953933\pi\) |
0.977075 | − | 0.212895i | \(-0.0682892\pi\) | |||||||
\(272\) | 1.44994 | − | 0.585814i | 0.0879156 | − | 0.0355202i | ||||
\(273\) | −2.15699 | + | 4.84468i | −0.130547 | + | 0.293213i | ||||
\(274\) | 2.35457 | − | 4.07823i | 0.142245 | − | 0.246375i | ||||
\(275\) | −15.5275 | − | 22.3254i | −0.936341 | − | 1.34627i | ||||
\(276\) | 0.455297 | + | 2.58212i | 0.0274057 | + | 0.155425i | ||||
\(277\) | 12.2552 | − | 1.28807i | 0.736342 | − | 0.0773927i | 0.271069 | − | 0.962560i | \(-0.412623\pi\) |
0.465273 | + | 0.885167i | \(0.345956\pi\) | |||||||
\(278\) | 3.55883 | + | 16.7430i | 0.213444 | + | 1.00418i | ||||
\(279\) | −6.35899 | − | 15.7391i | −0.380703 | − | 0.942272i | ||||
\(280\) | −2.79617 | + | 1.77515i | −0.167103 | + | 0.106086i | ||||
\(281\) | −0.531795 | + | 15.2286i | −0.0317242 | + | 0.908463i | 0.874338 | + | 0.485318i | \(0.161296\pi\) |
−0.906062 | + | 0.423145i | \(0.860926\pi\) | |||||||
\(282\) | −11.8545 | + | 14.1276i | −0.705924 | + | 0.841287i | ||||
\(283\) | −0.512028 | − | 3.64327i | −0.0304369 | − | 0.216570i | 0.969111 | − | 0.246624i | \(-0.0793211\pi\) |
−0.999548 | + | 0.0300536i | \(0.990432\pi\) | |||||||
\(284\) | 6.88034 | + | 4.99886i | 0.408273 | + | 0.296628i | ||||
\(285\) | 21.8652 | − | 7.54528i | 1.29518 | − | 0.446944i | ||||
\(286\) | −6.63839 | + | 4.82307i | −0.392536 | + | 0.285194i | ||||
\(287\) | −11.6819 | − | 12.0969i | −0.689559 | − | 0.714059i | ||||
\(288\) | −2.55359 | + | 0.636682i | −0.150472 | + | 0.0375168i | ||||
\(289\) | 13.9907 | − | 4.01176i | 0.822981 | − | 0.235986i | ||||
\(290\) | −8.67096 | − | 13.6583i | −0.509176 | − | 0.802041i | ||||
\(291\) | 15.3309 | − | 1.07204i | 0.898713 | − | 0.0628442i | ||||
\(292\) | −8.10337 | − | 7.29631i | −0.474214 | − | 0.426984i | ||||
\(293\) | 1.86067 | + | 1.07426i | 0.108701 | + | 0.0627587i | 0.553365 | − | 0.832939i | \(-0.313343\pi\) |
−0.444664 | + | 0.895698i | \(0.646677\pi\) | |||||||
\(294\) | 10.0704 | − | 5.35451i | 0.587316 | − | 0.312282i | ||||
\(295\) | 26.6745 | + | 16.4042i | 1.55305 | + | 0.955088i | ||||
\(296\) | 1.47976 | + | 1.64344i | 0.0860091 | + | 0.0955227i | ||||
\(297\) | 0.988167 | + | 4.64896i | 0.0573393 | + | 0.269760i | ||||
\(298\) | 7.96605 | + | 1.98616i | 0.461461 | + | 0.115055i | ||||
\(299\) | 1.56634 | − | 0.570103i | 0.0905841 | − | 0.0329699i | ||||
\(300\) | −10.9370 | + | 4.60174i | −0.631448 | + | 0.265682i | ||||
\(301\) | −5.54659 | − | 4.65414i | −0.319700 | − | 0.268260i | ||||
\(302\) | −3.58065 | + | 1.74640i | −0.206043 | + | 0.100494i | ||||
\(303\) | 13.2776 | + | 4.31415i | 0.762777 | + | 0.247841i | ||||
\(304\) | 1.00801 | − | 4.24075i | 0.0578132 | − | 0.243223i | ||||
\(305\) | 9.44485 | + | 16.0923i | 0.540810 | + | 0.921441i | ||||
\(306\) | 4.07553 | − | 0.572779i | 0.232983 | − | 0.0327436i | ||||
\(307\) | −5.79300 | + | 6.90383i | −0.330624 | + | 0.394023i | −0.905590 | − | 0.424155i | \(-0.860571\pi\) |
0.574965 | + | 0.818178i | \(0.305016\pi\) | |||||||
\(308\) | −8.05109 | − | 0.281150i | −0.458753 | − | 0.0160200i | ||||
\(309\) | −29.9816 | − | 8.59708i | −1.70559 | − | 0.489071i | ||||
\(310\) | −14.4173 | − | 0.400330i | −0.818846 | − | 0.0227372i | ||||
\(311\) | −10.7962 | − | 4.80676i | −0.612194 | − | 0.272566i | 0.0771282 | − | 0.997021i | \(-0.475425\pi\) |
−0.689322 | + | 0.724455i | \(0.742092\pi\) | |||||||
\(312\) | 1.45625 | + | 3.27078i | 0.0824437 | + | 0.185171i | ||||
\(313\) | −14.5788 | − | 7.11055i | −0.824042 | − | 0.401912i | −0.0224241 | − | 0.999749i | \(-0.507138\pi\) |
−0.801618 | + | 0.597836i | \(0.796027\pi\) | |||||||
\(314\) | 4.14856 | + | 4.00621i | 0.234117 | + | 0.226084i | ||||
\(315\) | −8.27049 | + | 2.75274i | −0.465989 | + | 0.155099i | ||||
\(316\) | 1.13426 | − | 10.7917i | 0.0638069 | − | 0.607082i | ||||
\(317\) | −0.0125147 | + | 0.0200277i | −0.000702895 | + | 0.00112487i | −0.848399 | − | 0.529357i | \(-0.822433\pi\) |
0.847696 | + | 0.530482i | \(0.177989\pi\) | |||||||
\(318\) | −6.82245 | − | 18.7445i | −0.382584 | − | 1.05114i | ||||
\(319\) | 1.37331 | − | 39.3266i | 0.0768908 | − | 2.20187i | ||||
\(320\) | −0.372542 | + | 2.20482i | −0.0208258 | + | 0.123253i | ||||
\(321\) | 20.5247 | + | 10.9132i | 1.14558 | + | 0.609114i | ||||
\(322\) | 1.55640 | + | 0.505706i | 0.0867350 | + | 0.0281819i | ||||
\(323\) | −2.26090 | + | 6.43063i | −0.125800 | + | 0.357810i | ||||
\(324\) | 9.96910 | 0.553839 | ||||||||
\(325\) | 4.08843 | + | 6.33941i | 0.226785 | + | 0.351647i | ||||
\(326\) | −5.52977 | − | 4.64003i | −0.306265 | − | 0.256987i | ||||
\(327\) | −4.94386 | − | 17.2413i | −0.273396 | − | 0.953445i | ||||
\(328\) | −11.3465 | + | 0.396230i | −0.626508 | + | 0.0218781i | ||||
\(329\) | 4.31203 | + | 10.6726i | 0.237730 | + | 0.588402i | ||||
\(330\) | −28.2726 | − | 5.79867i | −1.55636 | − | 0.319206i | ||||
\(331\) | 28.4094 | + | 6.03860i | 1.56152 | + | 0.331912i | 0.906004 | − | 0.423269i | \(-0.139117\pi\) |
0.655517 | + | 0.755180i | \(0.272451\pi\) | |||||||
\(332\) | 6.79391 | − | 1.19795i | 0.372864 | − | 0.0657460i | ||||
\(333\) | 2.73235 | + | 5.13880i | 0.149732 | + | 0.281604i | ||||
\(334\) | −15.8861 | + | 7.07294i | −0.869247 | + | 0.387014i | ||||
\(335\) | −21.7256 | + | 19.8448i | −1.18700 | + | 1.08424i | ||||
\(336\) | −0.850376 | + | 3.41067i | −0.0463918 | + | 0.186067i | ||||
\(337\) | 5.65340 | − | 19.7158i | 0.307961 | − | 1.07399i | −0.643304 | − | 0.765611i | \(-0.722437\pi\) |
0.951265 | − | 0.308375i | \(-0.0997853\pi\) | |||||||
\(338\) | −8.89049 | + | 5.99671i | −0.483579 | + | 0.326178i | ||||
\(339\) | 1.95102 | + | 0.136429i | 0.105965 | + | 0.00740978i | ||||
\(340\) | 0.939800 | − | 3.36813i | 0.0509678 | − | 0.182663i | ||||
\(341\) | −28.3811 | − | 20.6201i | −1.53692 | − | 1.11664i | ||||
\(342\) | 5.27405 | − | 10.1874i | 0.285188 | − | 0.550869i | ||||
\(343\) | − | 17.4871i | − | 0.944215i | ||||||
\(344\) | −4.84074 | + | 0.680321i | −0.260995 | + | 0.0366805i | ||||
\(345\) | 5.19614 | + | 2.71539i | 0.279751 | + | 0.146191i | ||||
\(346\) | 11.9560 | − | 15.3030i | 0.642758 | − | 0.822692i | ||||
\(347\) | 7.98942 | − | 0.278997i | 0.428895 | − | 0.0149773i | 0.180361 | − | 0.983601i | \(-0.442273\pi\) |
0.248534 | + | 0.968623i | \(0.420051\pi\) | |||||||
\(348\) | −16.6599 | − | 4.15377i | −0.893062 | − | 0.222665i | ||||
\(349\) | −2.88970 | − | 5.00510i | −0.154682 | − | 0.267917i | 0.778261 | − | 0.627941i | \(-0.216102\pi\) |
−0.932943 | + | 0.360024i | \(0.882769\pi\) | |||||||
\(350\) | −0.668790 | + | 7.37573i | −0.0357483 | + | 0.394250i | ||||
\(351\) | −0.228936 | − | 1.29836i | −0.0122197 | − | 0.0693014i | ||||
\(352\) | −3.77813 | + | 3.91237i | −0.201375 | + | 0.208530i | ||||
\(353\) | −0.721616 | + | 0.649746i | −0.0384078 | + | 0.0345825i | −0.688111 | − | 0.725605i | \(-0.741560\pi\) |
0.649703 | + | 0.760188i | \(0.274893\pi\) | |||||||
\(354\) | 32.5082 | − | 6.90983i | 1.72779 | − | 0.367254i | ||||
\(355\) | 18.2422 | − | 5.37224i | 0.968195 | − | 0.285129i | ||||
\(356\) | −1.82576 | − | 2.33687i | −0.0967652 | − | 0.123854i | ||||
\(357\) | 1.88006 | − | 5.16542i | 0.0995033 | − | 0.273383i | ||||
\(358\) | −17.2362 | − | 6.96387i | −0.910961 | − | 0.368052i | ||||
\(359\) | −2.99853 | + | 2.89564i | −0.158256 | + | 0.152826i | −0.769571 | − | 0.638561i | \(-0.779530\pi\) |
0.611315 | + | 0.791388i | \(0.290641\pi\) | |||||||
\(360\) | −2.35509 | + | 5.39301i | −0.124124 | + | 0.284237i | ||||
\(361\) | 10.9680 | + | 15.5146i | 0.577264 | + | 0.816558i | ||||
\(362\) | −13.0986 | + | 18.0286i | −0.688445 | + | 0.947563i | ||||
\(363\) | −30.6310 | − | 31.7193i | −1.60771 | − | 1.66483i | ||||
\(364\) | 2.22922 | + | 0.155882i | 0.116843 | + | 0.00817045i | ||||
\(365\) | −23.9811 | + | 4.40546i | −1.25523 | + | 0.230592i | ||||
\(366\) | 19.0359 | + | 5.45844i | 0.995020 | + | 0.285317i | ||||
\(367\) | −19.2560 | + | 30.8160i | −1.00515 | + | 1.60858i | −0.233687 | + | 0.972312i | \(0.575079\pi\) |
−0.771466 | + | 0.636270i | \(0.780476\pi\) | |||||||
\(368\) | 0.956827 | − | 0.552424i | 0.0498780 | − | 0.0287971i | ||||
\(369\) | −29.2267 | − | 6.21233i | −1.52148 | − | 0.323401i | ||||
\(370\) | 4.93034 | − | 0.380187i | 0.256316 | − | 0.0197650i | ||||
\(371\) | −12.3291 | − | 1.73275i | −0.640096 | − | 0.0899597i | ||||
\(372\) | −11.3753 | + | 10.2423i | −0.589780 | + | 0.531040i | ||||
\(373\) | 11.4209 | − | 25.6517i | 0.591350 | − | 1.32819i | −0.331654 | − | 0.943401i | \(-0.607607\pi\) |
0.923003 | − | 0.384792i | \(-0.125727\pi\) | |||||||
\(374\) | 6.51545 | − | 5.46711i | 0.336906 | − | 0.282698i | ||||
\(375\) | −6.76490 | + | 25.6555i | −0.349338 | + | 1.32485i | ||||
\(376\) | 7.30262 | + | 2.65793i | 0.376604 | + | 0.137073i | ||||
\(377\) | −0.761427 | + | 10.8889i | −0.0392155 | + | 0.560807i | ||||
\(378\) | 0.607670 | − | 1.14286i | 0.0312552 | − | 0.0587825i | ||||
\(379\) | −11.5926 | + | 35.6783i | −0.595470 | + | 1.83267i | −0.0430987 | + | 0.999071i | \(0.513723\pi\) |
−0.552371 | + | 0.833598i | \(0.686277\pi\) | |||||||
\(380\) | −6.13896 | − | 7.57055i | −0.314922 | − | 0.388361i | ||||
\(381\) | 12.1818 | + | 37.4916i | 0.624090 | + | 1.92075i | ||||
\(382\) | 22.1389 | + | 3.90368i | 1.13272 | + | 0.199730i | ||||
\(383\) | 14.3649 | + | 5.80378i | 0.734010 | + | 0.296559i | 0.711016 | − | 0.703176i | \(-0.248235\pi\) |
0.0229947 | + | 0.999736i | \(0.492680\pi\) | |||||||
\(384\) | 1.32704 | + | 1.96742i | 0.0677202 | + | 0.100399i | ||||
\(385\) | −11.4801 | + | 13.8817i | −0.585081 | + | 0.707479i | ||||
\(386\) | −3.59025 | + | 14.3997i | −0.182739 | + | 0.732926i | ||||
\(387\) | −12.7944 | − | 1.34475i | −0.650377 | − | 0.0683573i | ||||
\(388\) | −2.63401 | − | 5.91609i | −0.133722 | − | 0.300344i | ||||
\(389\) | 19.8923 | + | 19.2098i | 1.00858 | + | 0.973974i | 0.999662 | − | 0.0259865i | \(-0.00827268\pi\) |
0.00891706 | + | 0.999960i | \(0.497162\pi\) | |||||||
\(390\) | 7.78166 | + | 1.88122i | 0.394040 | + | 0.0952594i | ||||
\(391\) | −1.57840 | + | 0.702749i | −0.0798231 | + | 0.0355396i | ||||
\(392\) | −3.57159 | − | 3.21588i | −0.180393 | − | 0.162426i | ||||
\(393\) | 15.4152 | + | 18.3711i | 0.777593 | + | 0.926700i | ||||
\(394\) | −3.71106 | − | 4.74994i | −0.186961 | − | 0.239299i | ||||
\(395\) | −17.5740 | − | 16.7300i | −0.884245 | − | 0.841777i | ||||
\(396\) | −12.1387 | + | 7.58513i | −0.609995 | + | 0.381167i | ||||
\(397\) | −7.80931 | + | 14.6872i | −0.391938 | + | 0.737128i | −0.998314 | − | 0.0580501i | \(-0.981512\pi\) |
0.606376 | + | 0.795178i | \(0.292623\pi\) | |||||||
\(398\) | 9.73740 | + | 13.4024i | 0.488092 | + | 0.671800i | ||||
\(399\) | −8.70686 | − | 12.6076i | −0.435888 | − | 0.631168i | ||||
\(400\) | 3.39842 | + | 3.66753i | 0.169921 | + | 0.183376i | ||||
\(401\) | −3.76924 | + | 21.3764i | −0.188227 | + | 1.06749i | 0.733512 | + | 0.679676i | \(0.237880\pi\) |
−0.921739 | + | 0.387810i | \(0.873231\pi\) | |||||||
\(402\) | −2.17838 | + | 31.1524i | −0.108648 | + | 1.55374i | ||||
\(403\) | 7.66825 | + | 5.99110i | 0.381983 | + | 0.298438i | ||||
\(404\) | −0.205310 | − | 5.87930i | −0.0102145 | − | 0.292506i | ||||
\(405\) | 13.5982 | − | 17.6636i | 0.675700 | − | 0.877714i | ||||
\(406\) | −7.17082 | + | 7.96400i | −0.355882 | + | 0.395247i | ||||
\(407\) | 10.4164 | + | 6.01389i | 0.516320 | + | 0.298097i | ||||
\(408\) | −1.74227 | − | 3.27674i | −0.0862553 | − | 0.162223i | ||||
\(409\) | −7.53665 | + | 15.4524i | −0.372664 | + | 0.764073i | −0.999891 | − | 0.0147626i | \(-0.995301\pi\) |
0.627228 | + | 0.778836i | \(0.284190\pi\) | |||||||
\(410\) | −14.7750 | + | 20.6447i | −0.729685 | + | 1.01957i | ||||
\(411\) | −10.2092 | − | 4.54545i | −0.503585 | − | 0.224210i | ||||
\(412\) | 0.916801 | + | 13.1109i | 0.0451676 | + | 0.645926i | ||||
\(413\) | 5.71765 | − | 19.9398i | 0.281347 | − | 0.981175i | ||||
\(414\) | 2.79506 | − | 0.801471i | 0.137370 | − | 0.0393902i | ||||
\(415\) | 7.14455 | − | 13.6718i | 0.350712 | − | 0.671120i | ||||
\(416\) | 1.08526 | − | 1.04802i | 0.0532092 | − | 0.0513835i | ||||
\(417\) | 38.6329 | − | 12.5526i | 1.89186 | − | 0.614702i | ||||
\(418\) | −1.91333 | − | 23.6300i | −0.0935841 | − | 1.15578i | ||||
\(419\) | −4.29105 | − | 13.2065i | −0.209632 | − | 0.645180i | −0.999491 | − | 0.0318922i | \(-0.989847\pi\) |
0.789860 | − | 0.613288i | \(-0.210153\pi\) | |||||||
\(420\) | 4.88322 | + | 6.15900i | 0.238277 | + | 0.300528i | ||||
\(421\) | 10.1904 | − | 6.36769i | 0.496651 | − | 0.310342i | −0.258366 | − | 0.966047i | \(-0.583184\pi\) |
0.755017 | + | 0.655705i | \(0.227628\pi\) | |||||||
\(422\) | 13.9261 | + | 10.8802i | 0.677910 | + | 0.529641i | ||||
\(423\) | 16.9556 | + | 11.4367i | 0.824411 | + | 0.556073i | ||||
\(424\) | −6.43903 | + | 5.40298i | −0.312707 | + | 0.262392i | ||||
\(425\) | −4.68587 | − | 6.25942i | −0.227298 | − | 0.303626i | ||||
\(426\) | 10.0912 | − | 17.4785i | 0.488922 | − | 0.846838i | ||||
\(427\) | 8.58604 | − | 8.89110i | 0.415508 | − | 0.430271i | ||||
\(428\) | 1.36325 | − | 9.70002i | 0.0658951 | − | 0.468868i | ||||
\(429\) | 13.0298 | + | 14.4711i | 0.629085 | + | 0.698670i | ||||
\(430\) | −5.39751 | + | 9.50498i | −0.260291 | + | 0.458371i | ||||
\(431\) | 13.7318 | + | 8.58060i | 0.661439 | + | 0.413313i | 0.818682 | − | 0.574247i | \(-0.194705\pi\) |
−0.157243 | + | 0.987560i | \(0.550261\pi\) | |||||||
\(432\) | −0.298880 | − | 0.821167i | −0.0143799 | − | 0.0395084i | ||||
\(433\) | −5.17602 | − | 0.180751i | −0.248744 | − | 0.00868632i | −0.0897436 | − | 0.995965i | \(-0.528605\pi\) |
−0.159000 | + | 0.987279i | \(0.550827\pi\) | |||||||
\(434\) | 2.31129 | + | 9.27006i | 0.110945 | + | 0.444977i | ||||
\(435\) | −30.0844 | + | 23.8527i | −1.44244 | + | 1.14365i | ||||
\(436\) | −6.11453 | + | 4.44247i | −0.292833 | + | 0.212756i | ||||
\(437\) | −0.949499 | + | 4.72139i | −0.0454207 | + | 0.225855i | ||||
\(438\) | −15.2101 | + | 20.9350i | −0.726769 | + | 1.00031i | ||||
\(439\) | 4.09990 | + | 8.40603i | 0.195677 | + | 0.401198i | 0.973961 | − | 0.226715i | \(-0.0727984\pi\) |
−0.778284 | + | 0.627913i | \(0.783910\pi\) | |||||||
\(440\) | 1.77859 | + | 12.0308i | 0.0847909 | + | 0.573548i | ||||
\(441\) | −7.07290 | − | 10.4860i | −0.336805 | − | 0.499333i | ||||
\(442\) | −1.85915 | + | 1.45253i | −0.0884310 | + | 0.0690898i | ||||
\(443\) | −9.18668 | − | 10.9483i | −0.436472 | − | 0.520167i | 0.502306 | − | 0.864690i | \(-0.332485\pi\) |
−0.938778 | + | 0.344523i | \(0.888041\pi\) | |||||||
\(444\) | 3.51166 | − | 3.90009i | 0.166656 | − | 0.185090i | ||||
\(445\) | −6.63095 | + | 0.0473878i | −0.314337 | + | 0.00224640i | ||||
\(446\) | 0.0678945 | + | 0.00954195i | 0.00321490 | + | 0.000451825i | ||||
\(447\) | 2.71154 | − | 19.2936i | 0.128252 | − | 0.912557i | ||||
\(448\) | 1.47308 | − | 0.154827i | 0.0695967 | − | 0.00731491i | ||||
\(449\) | −0.000123050 | 0 | 0.000213128i | −5.80707e−6 | 0 | 1.00581e-5i | 0.866023 | − | 0.500005i | \(-0.166669\pi\) |
−0.866028 | + | 0.499995i | \(0.833335\pi\) | |||||||
\(450\) | 6.34312 | + | 11.5291i | 0.299018 | + | 0.543486i | ||||
\(451\) | −58.0256 | + | 21.1196i | −2.73232 | + | 0.994483i | ||||
\(452\) | −0.227162 | − | 0.792209i | −0.0106848 | − | 0.0372624i | ||||
\(453\) | 5.00996 | + | 8.01761i | 0.235388 | + | 0.376700i | ||||
\(454\) | −11.6610 | − | 6.20027i | −0.547279 | − | 0.290993i | ||||
\(455\) | 3.31693 | − | 3.73719i | 0.155500 | − | 0.175202i | ||||
\(456\) | −10.2588 | − | 1.32707i | −0.480411 | − | 0.0621459i | ||||
\(457\) | − | 41.6232i | − | 1.94705i | −0.228577 | − | 0.973526i | \(-0.573407\pi\) | ||
0.228577 | − | 0.973526i | \(-0.426593\pi\) | |||||||
\(458\) | −0.570082 | − | 4.05634i | −0.0266382 | − | 0.189540i | ||||
\(459\) | 0.330602 | + | 1.32597i | 0.0154312 | + | 0.0618910i | ||||
\(460\) | 0.326337 | − | 2.44887i | 0.0152156 | − | 0.114179i | ||||
\(461\) | −3.47292 | + | 5.14881i | −0.161750 | + | 0.239804i | −0.901196 | − | 0.433412i | \(-0.857310\pi\) |
0.739446 | + | 0.673216i | \(0.235087\pi\) | |||||||
\(462\) | 1.33360 | + | 19.0714i | 0.0620448 | + | 0.887282i | ||||
\(463\) | 24.6870 | + | 2.59471i | 1.14730 | + | 0.120586i | 0.659039 | − | 0.752109i | \(-0.270963\pi\) |
0.488265 | + | 0.872696i | \(0.337630\pi\) | |||||||
\(464\) | 0.756274 | + | 7.19547i | 0.0351091 | + | 0.334041i | ||||
\(465\) | 2.63152 | + | 34.1260i | 0.122034 | + | 1.58256i | ||||
\(466\) | −4.38472 | + | 8.99000i | −0.203118 | + | 0.416454i | ||||
\(467\) | −1.90433 | + | 8.95919i | −0.0881221 | + | 0.414582i | 0.911869 | + | 0.410480i | \(0.134639\pi\) |
−0.999992 | + | 0.00410163i | \(0.998694\pi\) | |||||||
\(468\) | 3.43856 | − | 1.98525i | 0.158948 | − | 0.0917684i | ||||
\(469\) | 16.5296 | + | 10.3288i | 0.763265 | + | 0.476941i | ||||
\(470\) | 14.6704 | − | 9.31354i | 0.676697 | − | 0.429602i | ||||
\(471\) | 8.42611 | − | 10.7849i | 0.388255 | − | 0.496943i | ||||
\(472\) | −7.42123 | − | 11.8765i | −0.341590 | − | 0.546658i | ||||
\(473\) | −23.8960 | + | 11.6548i | −1.09874 | + | 0.535890i | ||||
\(474\) | −25.7513 | −1.18279 | ||||||||
\(475\) | −21.7875 | + | 0.550768i | −0.999681 | + | 0.0252710i | ||||
\(476\) | −2.31632 | −0.106168 | ||||||||
\(477\) | −19.8826 | + | 9.69741i | −0.910363 | + | 0.444014i | ||||
\(478\) | −3.54764 | − | 5.67740i | −0.162265 | − | 0.259678i | ||||
\(479\) | 15.8759 | − | 20.3202i | 0.725386 | − | 0.928452i | −0.274060 | − | 0.961713i | \(-0.588367\pi\) |
0.999447 | + | 0.0332602i | \(0.0105890\pi\) | |||||||
\(480\) | 5.29607 | + | 0.332323i | 0.241732 | + | 0.0151684i | ||||
\(481\) | −2.82943 | − | 1.76802i | −0.129011 | − | 0.0806149i | ||||
\(482\) | −10.2190 | + | 5.89996i | −0.465464 | + | 0.268736i | ||||
\(483\) | 0.807453 | − | 3.79877i | 0.0367404 | − | 0.172850i | ||||
\(484\) | −8.14535 | + | 16.7004i | −0.370243 | + | 0.759111i | ||||
\(485\) | −14.0752 | − | 3.40270i | −0.639124 | − | 0.154509i | ||||
\(486\) | −2.19890 | − | 20.9212i | −0.0997444 | − | 0.949004i | ||||
\(487\) | −26.0100 | − | 2.73376i | −1.17862 | − | 0.123878i | −0.505111 | − | 0.863054i | \(-0.668549\pi\) |
−0.673512 | + | 0.739176i | \(0.735215\pi\) | |||||||
\(488\) | −0.582094 | − | 8.32433i | −0.0263501 | − | 0.376825i | ||||
\(489\) | −9.57937 | + | 14.2020i | −0.433194 | + | 0.642236i | ||||
\(490\) | −10.5698 | + | 1.94172i | −0.477494 | + | 0.0877180i | ||||
\(491\) | −9.00393 | − | 36.1128i | −0.406342 | − | 1.62975i | −0.729910 | − | 0.683543i | \(-0.760438\pi\) |
0.323568 | − | 0.946205i | \(-0.395117\pi\) | |||||||
\(492\) | 3.74978 | + | 26.6811i | 0.169053 | + | 1.20287i | ||||
\(493\) | − | 11.3143i | − | 0.509572i | ||||||
\(494\) | 0.301660 | + | 6.56929i | 0.0135723 | + | 0.295566i | ||||
\(495\) | −3.11803 | + | 31.8543i | −0.140145 | + | 1.43174i | ||||
\(496\) | 5.69509 | + | 3.02813i | 0.255717 | + | 0.135967i | ||||
\(497\) | −6.67537 | − | 10.6828i | −0.299431 | − | 0.479190i | ||||
\(498\) | −4.51262 | − | 15.7374i | −0.202215 | − | 0.705208i | ||||
\(499\) | −12.0412 | + | 4.38263i | −0.539038 | + | 0.196194i | −0.597169 | − | 0.802115i | \(-0.703708\pi\) |
0.0581316 | + | 0.998309i | \(0.481486\pi\) | |||||||
\(500\) | 11.1338 | − | 1.01882i | 0.497920 | − | 0.0455628i | ||||
\(501\) | 20.6338 | + | 35.7387i | 0.921849 | + | 1.59669i | ||||
\(502\) | −1.61345 | + | 0.169580i | −0.0720118 | + | 0.00756874i | ||||
\(503\) | −1.83579 | + | 13.0623i | −0.0818539 | + | 0.582421i | 0.905555 | + | 0.424230i | \(0.139455\pi\) |
−0.987408 | + | 0.158191i | \(0.949434\pi\) | |||||||
\(504\) | 3.86023 | + | 0.542520i | 0.171948 | + | 0.0241658i | ||||
\(505\) | −10.6972 | − | 7.65578i | −0.476020 | − | 0.340678i | ||||
\(506\) | 4.02087 | − | 4.46562i | 0.178749 | − | 0.198521i | ||||
\(507\) | 16.3584 | + | 19.4952i | 0.726503 | + | 0.865812i | ||||
\(508\) | 13.0899 | − | 10.2270i | 0.580772 | − | 0.453748i | ||||
\(509\) | 9.13217 | + | 13.5390i | 0.404776 | + | 0.600106i | 0.975222 | − | 0.221230i | \(-0.0710071\pi\) |
−0.570445 | + | 0.821336i | \(0.693229\pi\) | |||||||
\(510\) | −8.18237 | − | 1.38256i | −0.362321 | − | 0.0612206i | ||||
\(511\) | 7.08023 | + | 14.5166i | 0.313211 | + | 0.642178i | ||||
\(512\) | 0.587785 | − | 0.809017i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 3.54719 | + | 1.38805i | 0.156612 | + | 0.0612838i | ||||
\(514\) | −1.05815 | + | 0.768791i | −0.0466730 | + | 0.0339099i | ||||
\(515\) | 24.4809 | + | 16.2592i | 1.07876 | + | 0.716468i | ||||
\(516\) | 2.80644 | + | 11.2560i | 0.123547 | + | 0.495519i | ||||
\(517\) | 42.2410 | + | 1.47509i | 1.85776 | + | 0.0648743i | ||||
\(518\) | −1.12033 | − | 3.07807i | −0.0492243 | − | 0.135243i | ||||
\(519\) | −39.0828 | − | 24.4217i | −1.71555 | − | 1.07199i | ||||
\(520\) | −0.376596 | − | 3.35244i | −0.0165148 | − | 0.147014i | ||||
\(521\) | −15.0421 | − | 16.7060i | −0.659008 | − | 0.731902i | 0.317291 | − | 0.948328i | \(-0.397227\pi\) |
−0.976299 | + | 0.216426i | \(0.930560\pi\) | |||||||
\(522\) | −2.65001 | + | 18.8558i | −0.115988 | + | 0.825296i | ||||
\(523\) | −1.24869 | + | 1.29305i | −0.0546013 | + | 0.0565413i | −0.746085 | − | 0.665851i | \(-0.768069\pi\) |
0.691483 | + | 0.722392i | \(0.256958\pi\) | |||||||
\(524\) | 5.05276 | − | 8.75164i | 0.220731 | − | 0.382317i | ||||
\(525\) | 17.5736 | − | 0.251191i | 0.766976 | − | 0.0109629i | ||||
\(526\) | 11.1781 | − | 9.37958i | 0.487390 | − | 0.408969i | ||||
\(527\) | −8.36227 | − | 5.64042i | −0.364266 | − | 0.245701i | ||||
\(528\) | 10.1709 | + | 7.94640i | 0.442633 | + | 0.345823i | ||||
\(529\) | 18.4699 | − | 11.5413i | 0.803039 | − | 0.501795i | ||||
\(530\) | 0.790168 | + | 18.7788i | 0.0343227 | + | 0.815698i | ||||
\(531\) | −11.3893 | − | 35.0526i | −0.494252 | − | 1.52115i | ||||
\(532\) | −3.73739 | + | 5.26469i | −0.162036 | + | 0.228253i | ||||
\(533\) | 16.2905 | − | 5.29309i | 0.705618 | − | 0.229269i | ||||
\(534\) | −5.06242 | + | 4.88873i | −0.219073 | + | 0.211556i | ||||
\(535\) | −15.3274 | − | 15.6466i | −0.662659 | − | 0.676462i | ||||
\(536\) | 12.6494 | − | 3.62715i | 0.546370 | − | 0.156669i | ||||
\(537\) | −12.1601 | + | 42.4072i | −0.524745 | + | 1.83000i | ||||
\(538\) | 0.756046 | + | 10.8120i | 0.0325955 | + | 0.466137i | ||||
\(539\) | −23.8795 | − | 10.6318i | −1.02856 | − | 0.457945i | ||||
\(540\) | −1.86266 | − | 0.590531i | −0.0801560 | − | 0.0254124i | ||||
\(541\) | −14.2805 | + | 29.2793i | −0.613965 | + | 1.25881i | 0.334639 | + | 0.942346i | \(0.391386\pi\) |
−0.948603 | + | 0.316467i | \(0.897503\pi\) | |||||||
\(542\) | 2.76163 | + | 5.19387i | 0.118622 | + | 0.223096i | ||||
\(543\) | 45.7992 | + | 26.4422i | 1.96543 | + | 1.13474i | ||||
\(544\) | −1.04639 | + | 1.16214i | −0.0448638 | + | 0.0498263i | ||||
\(545\) | −0.469092 | + | 16.8936i | −0.0200937 | + | 0.723644i | ||||
\(546\) | −0.185078 | − | 5.29993i | −0.00792059 | − | 0.226816i | ||||
\(547\) | −31.5566 | − | 24.6547i | −1.34926 | − | 1.05416i | −0.992791 | − | 0.119854i | \(-0.961757\pi\) |
−0.356472 | − | 0.934306i | \(-0.616021\pi\) | |||||||
\(548\) | −0.328493 | + | 4.69766i | −0.0140325 | + | 0.200674i | ||||
\(549\) | 3.81352 | − | 21.6275i | 0.162757 | − | 0.923041i | ||||
\(550\) | 23.7428 | + | 13.2591i | 1.01240 | + | 0.565370i | ||||
\(551\) | −25.7160 | − | 18.2557i | −1.09554 | − | 0.777721i | ||||
\(552\) | −1.54115 | − | 2.12120i | −0.0655955 | − | 0.0902845i | ||||
\(553\) | −7.54569 | + | 14.1914i | −0.320875 | + | 0.603479i | ||||
\(554\) | −10.4502 | + | 6.53003i | −0.443988 | + | 0.277434i | ||||
\(555\) | −2.12031 | − | 11.5420i | −0.0900023 | − | 0.489929i | ||||
\(556\) | −10.5383 | − | 13.4884i | −0.446923 | − | 0.572035i | ||||
\(557\) | −6.34308 | − | 7.55939i | −0.268765 | − | 0.320302i | 0.614734 | − | 0.788734i | \(-0.289263\pi\) |
−0.883499 | + | 0.468433i | \(0.844819\pi\) | |||||||
\(558\) | 12.6150 | + | 11.3586i | 0.534034 | + | 0.480847i | ||||
\(559\) | 6.73733 | − | 2.99965i | 0.284959 | − | 0.126872i | ||||
\(560\) | 1.73501 | − | 2.82126i | 0.0733175 | − | 0.119220i | ||||
\(561\) | −14.5193 | − | 14.0212i | −0.613007 | − | 0.591974i | ||||
\(562\) | −6.19781 | − | 13.9205i | −0.261439 | − | 0.587201i | ||||
\(563\) | −18.2541 | − | 1.91859i | −0.769320 | − | 0.0808588i | −0.288267 | − | 0.957550i | \(-0.593079\pi\) |
−0.481053 | + | 0.876691i | \(0.659746\pi\) | |||||||
\(564\) | 4.46159 | − | 17.8945i | 0.187867 | − | 0.753493i | ||||
\(565\) | −1.71352 | − | 0.678105i | −0.0720885 | − | 0.0285281i | ||||
\(566\) | 2.05731 | + | 3.05009i | 0.0864753 | + | 0.128205i | ||||
\(567\) | −13.6910 | − | 5.53152i | −0.574968 | − | 0.232302i | ||||
\(568\) | −8.37536 | − | 1.47680i | −0.351422 | − | 0.0619653i | ||||
\(569\) | 5.62551 | + | 17.3135i | 0.235834 | + | 0.725821i | 0.997010 | + | 0.0772761i | \(0.0246223\pi\) |
−0.761176 | + | 0.648545i | \(0.775378\pi\) | |||||||
\(570\) | −16.3447 | + | 16.3667i | −0.684603 | + | 0.685526i | ||||
\(571\) | 9.83566 | − | 30.2710i | 0.411610 | − | 1.26680i | −0.503639 | − | 0.863914i | \(-0.668006\pi\) |
0.915249 | − | 0.402890i | \(-0.131994\pi\) | |||||||
\(572\) | 3.85225 | − | 7.24502i | 0.161071 | − | 0.302930i | ||||
\(573\) | 3.72144 | − | 53.2190i | 0.155465 | − | 2.22326i | ||||
\(574\) | 15.8025 | + | 5.75166i | 0.659585 | + | 0.240069i | ||||
\(575\) | −3.89386 | − | 3.91856i | −0.162385 | − | 0.163415i | ||||
\(576\) | 2.01605 | − | 1.69167i | 0.0840021 | − | 0.0704861i | ||||
\(577\) | 2.99223 | − | 6.72067i | 0.124568 | − | 0.279785i | −0.840487 | − | 0.541832i | \(-0.817731\pi\) |
0.965055 | + | 0.262047i | \(0.0843976\pi\) | |||||||
\(578\) | −10.8161 | + | 9.73886i | −0.449890 | + | 0.405083i | ||||
\(579\) | 34.8758 | + | 4.90148i | 1.44939 | + | 0.203699i | ||||
\(580\) | 13.7808 | + | 8.47486i | 0.572216 | + | 0.351900i | ||||
\(581\) | −9.99507 | − | 2.12452i | −0.414665 | − | 0.0881398i | ||||
\(582\) | −13.3094 | + | 7.68417i | −0.551691 | + | 0.318519i | ||||
\(583\) | −24.2260 | + | 38.7697i | −1.00334 | + | 1.60568i | ||||
\(584\) | 10.4818 | + | 3.00559i | 0.433738 | + | 0.124372i | ||||
\(585\) | 1.17276 | − | 8.80053i | 0.0484878 | − | 0.363857i | ||||
\(586\) | −2.14328 | − | 0.149873i | −0.0885380 | − | 0.00619118i | ||||
\(587\) | −14.2957 | − | 14.8036i | −0.590047 | − | 0.611012i | 0.356218 | − | 0.934403i | \(-0.384066\pi\) |
−0.946265 | + | 0.323391i | \(0.895177\pi\) | |||||||
\(588\) | −6.70393 | + | 9.22717i | −0.276465 | + | 0.380522i | ||||
\(589\) | −26.3125 | + | 9.90552i | −1.08419 | + | 0.408150i | ||||
\(590\) | −31.1660 | − | 3.05066i | −1.28308 | − | 0.125594i | ||||
\(591\) | −10.2899 | + | 9.93687i | −0.423271 | + | 0.408748i | ||||
\(592\) | −2.05043 | − | 0.828428i | −0.0842722 | − | 0.0340482i | ||||
\(593\) | 5.23756 | − | 14.3901i | 0.215081 | − | 0.590929i | −0.784493 | − | 0.620138i | \(-0.787077\pi\) |
0.999573 | + | 0.0292088i | \(0.00929878\pi\) | |||||||
\(594\) | −2.92613 | − | 3.74527i | −0.120061 | − | 0.153670i | ||||
\(595\) | −3.15953 | + | 4.10414i | −0.129528 | + | 0.168253i | ||||
\(596\) | −8.03051 | + | 1.70694i | −0.328942 | + | 0.0699189i | ||||
\(597\) | 29.2159 | − | 26.3062i | 1.19573 | − | 1.07664i | ||||
\(598\) | −1.15790 | + | 1.19905i | −0.0473502 | + | 0.0490326i | ||||
\(599\) | −1.41947 | − | 8.05019i | −0.0579978 | − | 0.328922i | 0.941979 | − | 0.335671i | \(-0.108963\pi\) |
−0.999977 | + | 0.00674866i | \(0.997852\pi\) | |||||||
\(600\) | 7.81285 | − | 8.93049i | 0.318958 | − | 0.364586i | ||||
\(601\) | 2.85445 | + | 4.94405i | 0.116435 | + | 0.201672i | 0.918353 | − | 0.395763i | \(-0.129520\pi\) |
−0.801917 | + | 0.597435i | \(0.796187\pi\) | |||||||
\(602\) | 7.02548 | + | 1.75165i | 0.286337 | + | 0.0713919i | ||||
\(603\) | 34.6107 | − | 1.20863i | 1.40946 | − | 0.0492193i | ||||
\(604\) | 2.45270 | − | 3.13931i | 0.0997988 | − | 0.127737i | ||||
\(605\) | 18.4800 | + | 37.2122i | 0.751317 | + | 1.51289i | ||||
\(606\) | −13.8250 | + | 1.94298i | −0.561602 | + | 0.0789281i | ||||
\(607\) | 15.3534i | 0.623174i | 0.950218 | + | 0.311587i | \(0.100861\pi\) | ||||
−0.950218 | + | 0.311587i | \(0.899139\pi\) | |||||||
\(608\) | 0.953029 | + | 4.25344i | 0.0386504 | + | 0.172500i | ||||
\(609\) | 20.5749 | + | 14.9485i | 0.833737 | + | 0.605746i | ||||
\(610\) | −15.5434 | − | 10.3233i | −0.629332 | − | 0.417978i | ||||
\(611\) | −11.6959 | − | 0.817854i | −0.473164 | − | 0.0330868i | ||||
\(612\) | −3.41198 | + | 2.30141i | −0.137921 | + | 0.0930289i | ||||
\(613\) | −3.69230 | + | 12.8766i | −0.149131 | + | 0.520080i | −0.999986 | − | 0.00531983i | \(-0.998307\pi\) |
0.850855 | + | 0.525400i | \(0.176084\pi\) | |||||||
\(614\) | 2.18028 | − | 8.74461i | 0.0879888 | − | 0.352904i | ||||
\(615\) | 52.3893 | + | 29.7499i | 2.11254 | + | 1.19963i | ||||
\(616\) | 7.35952 | − | 3.27667i | 0.296523 | − | 0.132021i | ||||
\(617\) | −8.39993 | − | 15.7980i | −0.338168 | − | 0.636002i | 0.654610 | − | 0.755967i | \(-0.272833\pi\) |
−0.992778 | + | 0.119965i | \(0.961722\pi\) | |||||||
\(618\) | 30.7160 | − | 5.41606i | 1.23558 | − | 0.217866i | ||||
\(619\) | −10.0054 | − | 2.12672i | −0.402152 | − | 0.0854801i | 0.00239526 | − | 0.999997i | \(-0.499238\pi\) |
−0.404547 | + | 0.914517i | \(0.632571\pi\) | |||||||
\(620\) | 13.1336 | − | 5.96030i | 0.527460 | − | 0.239371i | ||||
\(621\) | 0.361679 | + | 0.895187i | 0.0145137 | + | 0.0359226i | ||||
\(622\) | 11.8107 | − | 0.412438i | 0.473565 | − | 0.0165372i | ||||
\(623\) | 1.21075 | + | 4.22238i | 0.0485076 | + | 0.169166i | ||||
\(624\) | −2.74268 | − | 2.30138i | −0.109795 | − | 0.0921290i | ||||
\(625\) | 13.3817 | − | 21.1170i | 0.535269 | − | 0.844681i | ||||
\(626\) | 16.2204 | 0.648297 | ||||||||
\(627\) | −55.2954 | + | 10.3774i | −2.20828 | + | 0.414433i | ||||
\(628\) | −5.48491 | − | 1.78215i | −0.218872 | − | 0.0711157i | ||||
\(629\) | 3.05350 | + | 1.62358i | 0.121751 | + | 0.0647362i | ||||
\(630\) | 6.22675 | − | 6.09969i | 0.248079 | − | 0.243018i | ||||
\(631\) | −1.08977 | + | 31.2071i | −0.0433832 | + | 1.24233i | 0.761209 | + | 0.648506i | \(0.224606\pi\) |
−0.804593 | + | 0.593827i | \(0.797616\pi\) | |||||||
\(632\) | 3.71132 | + | 10.1968i | 0.147628 | + | 0.405605i | ||||
\(633\) | 22.2243 | − | 35.5663i | 0.883337 | − | 1.41363i | ||||
\(634\) | 0.00246857 | − | 0.0234868i | 9.80393e−5 | − | 0.000932782i | ||||
\(635\) | −0.265442 | − | 37.1432i | −0.0105337 | − | 1.47398i | ||||
\(636\) | 14.3490 | + | 13.8567i | 0.568976 | + | 0.549454i | ||||
\(637\) | 6.51700 | + | 3.17855i | 0.258213 | + | 0.125939i | ||||
\(638\) | 16.0053 | + | 35.9485i | 0.633656 | + | 1.42321i | ||||
\(639\) | −20.4470 | − | 9.10360i | −0.808871 | − | 0.360133i | ||||
\(640\) | −0.631689 | − | 2.14499i | −0.0249697 | − | 0.0847881i | ||||
\(641\) | −45.6049 | − | 13.0770i | −1.80129 | − | 0.516510i | −0.804309 | − | 0.594212i | \(-0.797464\pi\) |
−0.996977 | + | 0.0777015i | \(0.975242\pi\) | |||||||
\(642\) | −23.2315 | − | 0.811262i | −0.916875 | − | 0.0320180i | ||||
\(643\) | −22.4349 | + | 26.7369i | −0.884747 | + | 1.05440i | 0.113400 | + | 0.993549i | \(0.463826\pi\) |
−0.998147 | + | 0.0608512i | \(0.980618\pi\) | |||||||
\(644\) | −1.62057 | + | 0.227757i | −0.0638595 | + | 0.00897487i | ||||
\(645\) | 23.7719 | + | 10.3810i | 0.936019 | + | 0.408753i | ||||
\(646\) | −0.786915 | − | 6.77092i | −0.0309608 | − | 0.266398i | ||||
\(647\) | −13.9321 | − | 4.52682i | −0.547728 | − | 0.177968i | 0.0220641 | − | 0.999757i | \(-0.492976\pi\) |
−0.569792 | + | 0.821789i | \(0.692976\pi\) | |||||||
\(648\) | −8.96017 | + | 4.37017i | −0.351989 | + | 0.171676i | ||||
\(649\) | −58.3481 | − | 48.9598i | −2.29036 | − | 1.92184i | ||||
\(650\) | −6.45367 | − | 3.90557i | −0.253134 | − | 0.153189i | ||||
\(651\) | 21.3053 | − | 7.75448i | 0.835019 | − | 0.303922i | ||||
\(652\) | 7.00417 | + | 1.74634i | 0.274305 | + | 0.0683918i | ||||
\(653\) | −2.75192 | − | 12.9468i | −0.107691 | − | 0.506646i | −0.998621 | − | 0.0525050i | \(-0.983279\pi\) |
0.890930 | − | 0.454141i | \(-0.150054\pi\) | |||||||
\(654\) | 12.0016 | + | 13.3291i | 0.469299 | + | 0.521209i | ||||
\(655\) | −8.61436 | − | 20.8902i | −0.336591 | − | 0.816248i | ||||
\(656\) | 10.0245 | − | 5.33012i | 0.391391 | − | 0.208106i | ||||
\(657\) | 24.8525 | + | 14.3486i | 0.969589 | + | 0.559792i | ||||
\(658\) | −8.55420 | − | 7.70224i | −0.333477 | − | 0.300264i | ||||
\(659\) | 21.7449 | − | 1.52055i | 0.847063 | − | 0.0592324i | 0.360374 | − | 0.932808i | \(-0.382649\pi\) |
0.486689 | + | 0.873575i | \(0.338205\pi\) | |||||||
\(660\) | 27.9532 | − | 7.18208i | 1.08808 | − | 0.279562i | ||||
\(661\) | −19.9405 | + | 5.71784i | −0.775595 | + | 0.222398i | −0.640009 | − | 0.768367i | \(-0.721069\pi\) |
−0.135586 | + | 0.990766i | \(0.543292\pi\) | |||||||
\(662\) | −28.1813 | + | 7.02640i | −1.09530 | + | 0.273089i | ||||
\(663\) | 3.88935 | + | 4.02754i | 0.151050 | + | 0.156417i | ||||
\(664\) | −5.58118 | + | 4.05496i | −0.216592 | + | 0.157363i | ||||
\(665\) | 4.23026 | + | 13.8033i | 0.164042 | + | 0.535268i | ||||
\(666\) | −4.70852 | − | 3.42094i | −0.182451 | − | 0.132559i | ||||
\(667\) | −1.11251 | − | 7.91590i | −0.0430764 | − | 0.306505i | ||||
\(668\) | 11.1777 | − | 13.3211i | 0.432480 | − | 0.515409i | ||||
\(669\) | 0.00567837 | − | 0.162607i | 0.000219538 | − | 0.00628676i | ||||
\(670\) | 10.8275 | − | 27.3602i | 0.418301 | − | 1.05702i | ||||
\(671\) | −17.0016 | − | 42.0804i | −0.656339 | − | 1.62450i | ||||
\(672\) | −0.730827 | − | 3.43827i | −0.0281923 | − | 0.132634i | ||||
\(673\) | −18.0681 | + | 1.89903i | −0.696474 | + | 0.0732024i | −0.446148 | − | 0.894959i | \(-0.647204\pi\) |
−0.250326 | + | 0.968162i | \(0.580538\pi\) | |||||||
\(674\) | 3.56158 | + | 20.1987i | 0.137187 | + | 0.778025i | ||||
\(675\) | −3.58705 | + | 2.49482i | −0.138066 | + | 0.0960258i | ||||
\(676\) | 5.36193 | − | 9.28714i | 0.206228 | − | 0.357198i | ||||
\(677\) | 4.82488 | − | 10.8369i | 0.185435 | − | 0.416494i | −0.796776 | − | 0.604275i | \(-0.793463\pi\) |
0.982211 | + | 0.187781i | \(0.0601294\pi\) | |||||||
\(678\) | −1.81337 | + | 0.732649i | −0.0696421 | + | 0.0281372i | ||||
\(679\) | 0.334763 | + | 9.58635i | 0.0128470 | + | 0.367890i | ||||
\(680\) | 0.631805 | + | 3.43924i | 0.0242286 | + | 0.131889i | ||||
\(681\) | −11.7408 | + | 29.0596i | −0.449910 | + | 1.11357i | ||||
\(682\) | 34.5480 | + | 6.09174i | 1.32291 | + | 0.233265i | ||||
\(683\) | 47.4420 | − | 15.4148i | 1.81532 | − | 0.589832i | 0.815377 | − | 0.578930i | \(-0.196530\pi\) |
0.999941 | − | 0.0109020i | \(-0.00347027\pi\) | |||||||
\(684\) | −0.274439 | + | 11.4683i | −0.0104934 | + | 0.438502i | ||||
\(685\) | 7.87543 | + | 6.98981i | 0.300905 | + | 0.267067i | ||||
\(686\) | 7.66584 | + | 15.7173i | 0.292683 | + | 0.600090i | ||||
\(687\) | −9.43210 | + | 2.35169i | −0.359857 | + | 0.0897224i | ||||
\(688\) | 4.05259 | − | 2.73351i | 0.154504 | − | 0.104214i | ||||
\(689\) | 7.09131 | − | 10.5133i | 0.270158 | − | 0.400525i | ||||
\(690\) | −5.86061 | − | 0.162734i | −0.223109 | − | 0.00619517i | ||||
\(691\) | 1.29716 | − | 12.3417i | 0.0493465 | − | 0.469500i | −0.941746 | − | 0.336325i | \(-0.890816\pi\) |
0.991092 | − | 0.133175i | \(-0.0425174\pi\) | |||||||
\(692\) | −4.03759 | + | 18.9954i | −0.153486 | + | 0.722096i | ||||
\(693\) | 20.8794 | − | 3.68160i | 0.793143 | − | 0.139853i | ||||
\(694\) | −7.05854 | + | 3.75309i | −0.267939 | + | 0.142465i | ||||
\(695\) | −38.2738 | + | 0.273522i | −1.45181 | + | 0.0103753i | ||||
\(696\) | 16.7947 | − | 3.56982i | 0.636600 | − | 0.135314i | ||||
\(697\) | −16.4618 | + | 6.65101i | −0.623536 | + | 0.251925i | ||||
\(698\) | 4.79134 | + | 3.23180i | 0.181355 | + | 0.122325i | ||||
\(699\) | 22.3053 | + | 8.11846i | 0.843663 | + | 0.307068i | ||||
\(700\) | −2.63220 | − | 6.92244i | −0.0994880 | − | 0.261644i | ||||
\(701\) | −2.19101 | + | 12.4258i | −0.0827531 | + | 0.469316i | 0.915066 | + | 0.403305i | \(0.132139\pi\) |
−0.997819 | + | 0.0660115i | \(0.978973\pi\) | |||||||
\(702\) | 0.774931 | + | 1.06660i | 0.0292479 | + | 0.0402563i | ||||
\(703\) | 8.61703 | − | 4.32057i | 0.324997 | − | 0.162954i | ||||
\(704\) | 1.68069 | − | 5.17264i | 0.0633435 | − | 0.194951i | ||||
\(705\) | −25.6204 | − | 32.3139i | −0.964919 | − | 1.21701i | ||||
\(706\) | 0.363754 | − | 0.900324i | 0.0136901 | − | 0.0338841i | ||||
\(707\) | −2.98027 | + | 8.18821i | −0.112084 | + | 0.307949i | ||||
\(708\) | −26.1891 | + | 20.4612i | −0.984247 | + | 0.768978i | ||||
\(709\) | 28.5881 | − | 1.99907i | 1.07365 | − | 0.0750768i | 0.478029 | − | 0.878344i | \(-0.341351\pi\) |
0.595619 | + | 0.803267i | \(0.296907\pi\) | |||||||
\(710\) | −14.0409 | + | 12.8254i | −0.526947 | + | 0.481328i | ||||
\(711\) | 2.98510 | + | 28.4013i | 0.111950 | + | 1.06513i | ||||
\(712\) | 2.66540 | + | 1.30000i | 0.0998901 | + | 0.0487196i | ||||
\(713\) | −6.40513 | − | 3.12399i | −0.239874 | − | 0.116994i | ||||
\(714\) | 0.574585 | + | 5.46681i | 0.0215033 | + | 0.204590i | ||||
\(715\) | −7.58242 | − | 16.7080i | −0.283566 | − | 0.624844i | ||||
\(716\) | 18.5445 | − | 1.29676i | 0.693042 | − | 0.0484622i | ||||
\(717\) | −12.5194 | + | 9.78123i | −0.467546 | + | 0.365287i | ||||
\(718\) | 1.42569 | − | 3.91706i | 0.0532063 | − | 0.146183i | ||||
\(719\) | 14.6744 | − | 36.3204i | 0.547263 | − | 1.35452i | −0.359603 | − | 0.933105i | \(-0.617088\pi\) |
0.906866 | − | 0.421418i | \(-0.138468\pi\) | |||||||
\(720\) | −0.247400 | − | 5.87961i | −0.00922007 | − | 0.219120i | ||||
\(721\) | 6.01570 | − | 18.5144i | 0.224037 | − | 0.689513i | ||||
\(722\) | −16.6591 | − | 9.13637i | −0.619989 | − | 0.340020i | ||||
\(723\) | 16.4596 | + | 22.6547i | 0.612140 | + | 0.842539i | ||||
\(724\) | 3.86968 | − | 21.9461i | 0.143816 | − | 0.815619i | ||||
\(725\) | 33.8136 | − | 12.8573i | 1.25580 | − | 0.477509i | ||||
\(726\) | 41.4358 | + | 15.0814i | 1.53783 | + | 0.559723i | ||||
\(727\) | −21.0769 | − | 14.2166i | −0.781700 | − | 0.527263i | 0.102298 | − | 0.994754i | \(-0.467380\pi\) |
−0.883998 | + | 0.467491i | \(0.845158\pi\) | |||||||
\(728\) | −2.07194 | + | 0.837120i | −0.0767914 | + | 0.0310257i | ||||
\(729\) | −19.5776 | + | 4.16134i | −0.725095 | + | 0.154124i | ||||
\(730\) | 19.6229 | − | 14.4722i | 0.726276 | − | 0.535642i | ||||
\(731\) | −6.74960 | + | 3.58883i | −0.249643 | + | 0.132737i | ||||
\(732\) | −19.5021 | + | 3.43875i | −0.720820 | + | 0.127100i | ||||
\(733\) | −5.65992 | + | 26.6278i | −0.209054 | + | 0.983522i | 0.741017 | + | 0.671487i | \(0.234344\pi\) |
−0.950071 | + | 0.312035i | \(0.898989\pi\) | |||||||
\(734\) | 3.79831 | − | 36.1385i | 0.140198 | − | 1.33390i | ||||
\(735\) | 7.20466 | + | 24.4644i | 0.265748 | + | 0.902385i | ||||
\(736\) | −0.617823 | + | 0.915961i | −0.0227733 | + | 0.0337628i | ||||
\(737\) | 59.3346 | − | 40.0217i | 2.18562 | − | 1.47422i | ||||
\(738\) | 28.9921 | − | 7.22854i | 1.06721 | − | 0.266086i | ||||
\(739\) | −13.2080 | − | 27.0805i | −0.485866 | − | 0.996172i | −0.991091 | − | 0.133185i | \(-0.957480\pi\) |
0.505225 | − | 0.862987i | \(-0.331409\pi\) | |||||||
\(740\) | −4.26470 | + | 2.50303i | −0.156773 | + | 0.0920132i | ||||
\(741\) | 15.4296 | − | 2.34154i | 0.566819 | − | 0.0860185i | ||||
\(742\) | 11.8409 | − | 3.84735i | 0.434694 | − | 0.141241i | ||||
\(743\) | 13.1050 | + | 2.31077i | 0.480776 | + | 0.0847737i | 0.408783 | − | 0.912631i | \(-0.365953\pi\) |
0.0719924 | + | 0.997405i | \(0.477064\pi\) | |||||||
\(744\) | 5.73407 | − | 14.1923i | 0.210221 | − | 0.520316i | ||||
\(745\) | −7.92947 | + | 16.5571i | −0.290513 | + | 0.606605i | ||||
\(746\) | 0.979952 | + | 28.0621i | 0.0358786 | + | 1.02743i | ||||
\(747\) | −16.8338 | + | 6.80128i | −0.615915 | + | 0.248846i | ||||
\(748\) | −3.45942 | + | 7.76999i | −0.126489 | + | 0.284099i | ||||
\(749\) | −7.25443 | + | 12.5650i | −0.265071 | + | 0.459116i | ||||
\(750\) | −5.16640 | − | 26.0246i | −0.188650 | − | 0.950284i | ||||
\(751\) | −3.54634 | − | 20.1123i | −0.129408 | − | 0.733908i | −0.978592 | − | 0.205811i | \(-0.934017\pi\) |
0.849184 | − | 0.528097i | \(-0.177094\pi\) | |||||||
\(752\) | −7.72871 | + | 0.812320i | −0.281837 | + | 0.0296223i | ||||
\(753\) | 0.800465 | + | 3.76589i | 0.0291706 | + | 0.137237i | ||||
\(754\) | −4.08902 | − | 10.1207i | −0.148913 | − | 0.368573i | ||||
\(755\) | −2.21679 | − | 8.62791i | −0.0806772 | − | 0.314002i | ||||
\(756\) | −0.0451729 | + | 1.29358i | −0.00164292 | + | 0.0470471i | ||||
\(757\) | 12.5450 | − | 14.9506i | 0.455957 | − | 0.543389i | −0.488266 | − | 0.872695i | \(-0.662370\pi\) |
0.944223 | + | 0.329306i | \(0.106815\pi\) | |||||||
\(758\) | −5.22099 | − | 37.1493i | −0.189635 | − | 1.34932i | ||||
\(759\) | −11.5369 | − | 8.38204i | −0.418762 | − | 0.304249i | ||||
\(760\) | 8.83637 | + | 4.11322i | 0.320529 | + | 0.149202i | ||||
\(761\) | 15.2505 | − | 11.0802i | 0.552832 | − | 0.401656i | −0.275997 | − | 0.961159i | \(-0.589008\pi\) |
0.828829 | + | 0.559503i | \(0.189008\pi\) | |||||||
\(762\) | −27.3841 | − | 28.3571i | −0.992022 | − | 1.02727i | ||||
\(763\) | 10.8623 | − | 2.70828i | 0.393243 | − | 0.0980464i | ||||
\(764\) | −21.6095 | + | 6.19644i | −0.781806 | + | 0.224179i | ||||
\(765\) | −0.576329 | + | 9.18467i | −0.0208372 | + | 0.332072i | ||||
\(766\) | −15.4553 | + | 1.08074i | −0.558422 | + | 0.0390486i | ||||
\(767\) | 15.7014 | + | 14.1376i | 0.566945 | + | 0.510480i | ||||
\(768\) | −2.05519 | − | 1.18657i | −0.0741604 | − | 0.0428166i | ||||
\(769\) | 7.48353 | − | 3.97907i | 0.269863 | − | 0.143489i | −0.329026 | − | 0.944321i | \(-0.606720\pi\) |
0.598889 | + | 0.800832i | \(0.295609\pi\) | |||||||
\(770\) | 4.23290 | − | 17.5094i | 0.152543 | − | 0.630994i | ||||
\(771\) | 2.07694 | + | 2.30667i | 0.0747990 | + | 0.0830727i | ||||
\(772\) | −3.08552 | − | 14.5162i | −0.111050 | − | 0.522451i | ||||
\(773\) | 9.41298 | + | 2.34692i | 0.338561 | + | 0.0844129i | 0.407492 | − | 0.913209i | \(-0.366403\pi\) |
−0.0689310 | + | 0.997621i | \(0.521959\pi\) | |||||||
\(774\) | 12.0890 | − | 4.40005i | 0.434532 | − | 0.158157i | ||||
\(775\) | 7.35405 | − | 31.4008i | 0.264165 | − | 1.12795i | ||||
\(776\) | 4.96088 | + | 4.16267i | 0.178085 | + | 0.149431i | ||||
\(777\) | −6.98675 | + | 3.40766i | −0.250648 | + | 0.122249i | ||||
\(778\) | −26.3001 | − | 8.54541i | −0.942904 | − | 0.306368i | ||||
\(779\) | −11.4444 | + | 48.1471i | −0.410037 | + | 1.72505i | ||||
\(780\) | −7.81879 | + | 1.72042i | −0.279957 | + | 0.0616011i | ||||
\(781\) | −45.8048 | + | 6.43745i | −1.63902 | + | 0.230350i | ||||
\(782\) | 1.11059 | − | 1.32355i | 0.0397147 | − | 0.0473301i | ||||
\(783\) | −6.31867 | − | 0.220653i | −0.225811 | − | 0.00788549i | ||||
\(784\) | 4.61987 | + | 1.32473i | 0.164995 | + | 0.0473117i | ||||
\(785\) | −10.6393 | + | 7.28745i | −0.379732 | + | 0.260100i | ||||
\(786\) | −21.9084 | − | 9.75427i | −0.781448 | − | 0.347923i | ||||
\(787\) | 12.9717 | + | 29.1349i | 0.462391 | + | 1.03855i | 0.982807 | + | 0.184635i | \(0.0591101\pi\) |
−0.520416 | + | 0.853913i | \(0.674223\pi\) | |||||||
\(788\) | 5.41772 | + | 2.64240i | 0.192998 | + | 0.0941315i | ||||
\(789\) | −24.9099 | − | 24.0552i | −0.886817 | − | 0.856389i | ||||
\(790\) | 23.1294 | + | 7.33287i | 0.822906 | + | 0.260892i | ||||
\(791\) | −0.127599 | + | 1.21402i | −0.00453689 | + | 0.0431656i | ||||
\(792\) | 7.58513 | − | 12.1387i | 0.269526 | − | 0.431332i | ||||
\(793\) | 4.30585 | + | 11.8302i | 0.152905 | + | 0.420104i | ||||
\(794\) | 0.580527 | − | 16.6241i | 0.0206021 | − | 0.589968i | ||||
\(795\) | 44.1244 | − | 6.52316i | 1.56493 | − | 0.231353i | ||||
\(796\) | −14.6271 | − | 7.77738i | −0.518445 | − | 0.275662i | ||||
\(797\) | 38.9445 | + | 12.6538i | 1.37948 | + | 0.448222i | 0.902500 | − | 0.430690i | \(-0.141730\pi\) |
0.476984 | + | 0.878912i | \(0.341730\pi\) | |||||||
\(798\) | 13.3525 | + | 7.51478i | 0.472672 | + | 0.266020i | ||||
\(799\) | 12.1528 | 0.429936 | ||||||||
\(800\) | −4.66222 | − | 1.80658i | −0.164834 | − | 0.0638724i | ||||
\(801\) | 5.97866 | + | 5.01669i | 0.211245 | + | 0.177256i | ||||
\(802\) | −5.98303 | − | 20.8653i | −0.211268 | − | 0.736780i | ||||
\(803\) | 59.2698 | − | 2.06975i | 2.09159 | − | 0.0730398i | ||||
\(804\) | −11.6984 | − | 28.9545i | −0.412570 | − | 1.02115i | ||||
\(805\) | −1.80697 | + | 3.18206i | −0.0636873 | + | 0.112153i | ||||
\(806\) | −9.51850 | − | 2.02322i | −0.335275 | − | 0.0712649i | ||||
\(807\) | 25.3301 | − | 4.46638i | 0.891663 | − | 0.157224i | ||||
\(808\) | 2.76185 | + | 5.19428i | 0.0971614 | + | 0.182734i | ||||
\(809\) | 12.3466 | − | 5.49705i | 0.434083 | − | 0.193266i | −0.178049 | − | 0.984022i | \(-0.556979\pi\) |
0.612132 | + | 0.790755i | \(0.290312\pi\) | |||||||
\(810\) | −4.47874 | + | 21.8370i | −0.157367 | + | 0.767275i | ||||
\(811\) | 0.204941 | − | 0.821972i | 0.00719644 | − | 0.0288634i | −0.966590 | − | 0.256327i | \(-0.917488\pi\) |
0.973787 | + | 0.227463i | \(0.0730432\pi\) | |||||||
\(812\) | 2.95390 | − | 10.3015i | 0.103662 | − | 0.361511i | ||||
\(813\) | 11.5732 | − | 7.80621i | 0.405889 | − | 0.273776i | ||||
\(814\) | −11.9985 | − | 0.839015i | −0.420546 | − | 0.0294075i | ||||
\(815\) | 12.6482 | − | 10.0282i | 0.443046 | − | 0.351273i | ||||
\(816\) | 3.00237 | + | 2.18135i | 0.105104 | + | 0.0763625i | ||||
\(817\) | −2.73357 | + | 21.1316i | −0.0956357 | + | 0.739300i | ||||
\(818\) | − | 17.1924i | − | 0.601118i | ||||||
\(819\) | −5.82388 | + | 0.818493i | −0.203503 | + | 0.0286005i | ||||
\(820\) | 4.22964 | − | 25.0323i | 0.147706 | − | 0.874165i | ||||
\(821\) | −2.45235 | + | 3.13887i | −0.0855876 | + | 0.109547i | −0.828899 | − | 0.559399i | \(-0.811032\pi\) |
0.743311 | + | 0.668946i | \(0.233254\pi\) | |||||||
\(822\) | 11.1686 | − | 0.390016i | 0.389550 | − | 0.0136034i | ||||
\(823\) | −1.40593 | − | 0.350537i | −0.0490075 | − | 0.0122189i | 0.217341 | − | 0.976096i | \(-0.430262\pi\) |
−0.266348 | + | 0.963877i | \(0.585817\pi\) | |||||||
\(824\) | −6.57144 | − | 11.3821i | −0.228927 | − | 0.396513i | ||||
\(825\) | 25.4036 | − | 59.3252i | 0.884441 | − | 2.06544i | ||||
\(826\) | 3.60205 | + | 20.4282i | 0.125331 | + | 0.710790i | ||||
\(827\) | 18.0236 | − | 18.6640i | 0.626743 | − | 0.649011i | −0.328615 | − | 0.944464i | \(-0.606582\pi\) |
0.955357 | + | 0.295453i | \(0.0954706\pi\) | |||||||
\(828\) | −2.16084 | + | 1.94563i | −0.0750945 | + | 0.0676154i | ||||
\(829\) | 15.1315 | − | 3.21630i | 0.525539 | − | 0.111707i | 0.0625005 | − | 0.998045i | \(-0.480092\pi\) |
0.463039 | + | 0.886338i | \(0.346759\pi\) | |||||||
\(830\) | −0.428174 | + | 15.4201i | −0.0148622 | + | 0.535238i | ||||
\(831\) | 18.0040 | + | 23.0441i | 0.624553 | + | 0.799391i | ||||
\(832\) | −0.516001 | + | 1.41770i | −0.0178891 | + | 0.0491499i | ||||
\(833\) | −6.96849 | − | 2.81545i | −0.241444 | − | 0.0975496i | ||||
\(834\) | −29.2203 | + | 28.2177i | −1.01182 | + | 0.977099i | ||||
\(835\) | −8.35604 | − | 37.9756i | −0.289173 | − | 1.31420i | ||||
\(836\) | 12.0784 | + | 20.3998i | 0.417740 | + | 0.705540i | ||||
\(837\) | −3.31306 | + | 4.56004i | −0.114516 | + | 0.157618i | ||||
\(838\) | 9.64612 | + | 9.98885i | 0.333220 | + | 0.345059i | ||||
\(839\) | −4.09435 | − | 0.286305i | −0.141353 | − | 0.00988434i | −0.00109512 | − | 0.999999i | \(-0.500349\pi\) |
−0.140257 | + | 0.990115i | \(0.544793\pi\) | |||||||
\(840\) | −7.08893 | − | 3.39501i | −0.244591 | − | 0.117139i | ||||
\(841\) | 22.4423 | + | 6.43522i | 0.773872 | + | 0.221904i | ||||
\(842\) | −6.36769 | + | 10.1904i | −0.219445 | + | 0.351185i | ||||
\(843\) | −31.3168 | + | 18.0808i | −1.07861 | + | 0.622735i | ||||
\(844\) | −17.2862 | − | 3.67430i | −0.595017 | − | 0.126475i | ||||
\(845\) | −9.14146 | − | 22.1685i | −0.314476 | − | 0.762618i | ||||
\(846\) | −20.2532 | − | 2.84640i | −0.696318 | − | 0.0978611i | ||||
\(847\) | 20.4529 | − | 18.4159i | 0.702769 | − | 0.632776i | ||||
\(848\) | 3.41885 | − | 7.67885i | 0.117404 | − | 0.263693i | ||||
\(849\) | 6.68829 | − | 5.61214i | 0.229541 | − | 0.192608i | ||||
\(850\) | 6.95558 | + | 3.57178i | 0.238574 | + | 0.122511i | ||||
\(851\) | 2.29598 | + | 0.835667i | 0.0787051 | + | 0.0286463i | ||||
\(852\) | −1.40786 | + | 20.1333i | −0.0482324 | + | 0.689756i | ||||
\(853\) | −23.8009 | + | 44.7631i | −0.814929 | + | 1.53266i | 0.0310974 | + | 0.999516i | \(0.490100\pi\) |
−0.846026 | + | 0.533142i | \(0.821011\pi\) | |||||||
\(854\) | −3.81948 | + | 11.7551i | −0.130700 | + | 0.402253i | ||||
\(855\) | 19.9457 | + | 16.1294i | 0.682128 | + | 0.551615i | ||||
\(856\) | 3.02693 | + | 9.31593i | 0.103458 | + | 0.318412i | ||||
\(857\) | −7.72240 | − | 1.36167i | −0.263792 | − | 0.0465137i | 0.0401876 | − | 0.999192i | \(-0.487204\pi\) |
−0.303980 | + | 0.952678i | \(0.598316\pi\) | |||||||
\(858\) | −18.0548 | − | 7.29462i | −0.616381 | − | 0.249034i | ||||
\(859\) | 3.33331 | + | 4.94183i | 0.113731 | + | 0.168613i | 0.881605 | − | 0.471987i | \(-0.156463\pi\) |
−0.767874 | + | 0.640601i | \(0.778685\pi\) | |||||||
\(860\) | 0.684537 | − | 10.9091i | 0.0233425 | − | 0.371998i | ||||
\(861\) | 9.65470 | − | 38.7229i | 0.329031 | − | 1.31967i | ||||
\(862\) | −16.1036 | − | 1.69255i | −0.548490 | − | 0.0576486i | ||||
\(863\) | −5.78308 | − | 12.9890i | −0.196858 | − | 0.442151i | 0.787963 | − | 0.615723i | \(-0.211136\pi\) |
−0.984821 | + | 0.173572i | \(0.944469\pi\) | |||||||
\(864\) | 0.628608 | + | 0.607039i | 0.0213857 | + | 0.0206519i | ||||
\(865\) | 28.1493 | + | 33.0643i | 0.957105 | + | 1.12422i | ||||
\(866\) | 4.73141 | − | 2.10656i | 0.160780 | − | 0.0715838i | ||||
\(867\) | 25.6681 | + | 23.1116i | 0.871733 | + | 0.784912i | ||||
\(868\) | −6.14110 | − | 7.31868i | −0.208443 | − | 0.248412i | ||||
\(869\) | 36.3349 | + | 46.5066i | 1.23258 | + | 1.57763i | ||||
\(870\) | 16.5834 | − | 34.6268i | 0.562228 | − | 1.17396i | ||||
\(871\) | −16.8363 | + | 10.5205i | −0.570477 | + | 0.356474i | ||||
\(872\) | 3.54825 | − | 6.67329i | 0.120159 | − | 0.225986i | ||||
\(873\) | 10.0178 | + | 13.7883i | 0.339050 | + | 0.466662i | ||||
\(874\) | −1.21632 | − | 4.65979i | −0.0411426 | − | 0.157620i | ||||
\(875\) | −15.8559 | − | 4.77861i | −0.536026 | − | 0.161546i | ||||
\(876\) | 4.49350 | − | 25.4839i | 0.151821 | − | 0.861021i | ||||
\(877\) | −3.00876 | + | 43.0273i | −0.101599 | + | 1.45293i | 0.632855 | + | 0.774270i | \(0.281883\pi\) |
−0.734454 | + | 0.678658i | \(0.762562\pi\) | |||||||
\(878\) | −7.36992 | − | 5.75802i | −0.248723 | − | 0.194324i | ||||
\(879\) | 0.177942 | + | 5.09560i | 0.00600184 | + | 0.171870i | ||||
\(880\) | −6.87256 | − | 10.0336i | −0.231674 | − | 0.338232i | ||||
\(881\) | −15.3897 | + | 17.0920i | −0.518493 | + | 0.575845i | −0.944349 | − | 0.328946i | \(-0.893307\pi\) |
0.425855 | + | 0.904791i | \(0.359973\pi\) | |||||||
\(882\) | 10.9538 | + | 6.32420i | 0.368835 | + | 0.212947i | ||||
\(883\) | 22.3054 | + | 41.9504i | 0.750638 | + | 1.41174i | 0.905735 | + | 0.423845i | \(0.139320\pi\) |
−0.155097 | + | 0.987899i | \(0.549569\pi\) | |||||||
\(884\) | 1.03425 | − | 2.12053i | 0.0347856 | − | 0.0713210i | ||||
\(885\) | 0.531072 | + | 74.3126i | 0.0178518 | + | 2.49799i | ||||
\(886\) | 13.0563 | + | 5.81305i | 0.438636 | + | 0.195293i | ||||
\(887\) | −2.33537 | − | 33.3973i | −0.0784139 | − | 1.12137i | −0.864292 | − | 0.502990i | \(-0.832233\pi\) |
0.785878 | − | 0.618381i | \(-0.212211\pi\) | |||||||
\(888\) | −1.44657 | + | 5.04479i | −0.0485437 | + | 0.169292i | ||||
\(889\) | −23.6516 | + | 6.78198i | −0.793248 | + | 0.227460i | ||||
\(890\) | 5.93909 | − | 2.94941i | 0.199079 | − | 0.0988645i | ||||
\(891\) | −39.0028 | + | 37.6646i | −1.30664 | + | 1.26181i | ||||
\(892\) | −0.0652061 | + | 0.0211868i | −0.00218326 | + | 0.000709385i | ||||
\(893\) | 19.6086 | − | 27.6218i | 0.656178 | − | 0.924329i | ||||
\(894\) | 6.02065 | + | 18.5297i | 0.201361 | + | 0.619724i | ||||
\(895\) | 22.9977 | − | 34.6268i | 0.768730 | − | 1.15745i | ||||
\(896\) | −1.25613 | + | 0.784916i | −0.0419643 | + | 0.0262222i | ||||
\(897\) | 3.11714 | + | 2.43538i | 0.104078 | + | 0.0813148i | ||||
\(898\) | 0.000204026 | 0 | 0.000137617i | 6.80842e−6 | 0 | 4.59234e-6i | ||||
\(899\) | 35.7490 | − | 29.9970i | 1.19230 | − | 1.00046i | ||||
\(900\) | −10.7552 | − | 7.58163i | −0.358506 | − | 0.252721i | ||||
\(901\) | −6.57235 | + | 11.3836i | −0.218957 | + | 0.379244i | ||||
\(902\) | 42.8949 | − | 44.4189i | 1.42824 | − | 1.47899i | ||||
\(903\) | 2.39139 | − | 17.0156i | 0.0795803 | − | 0.566243i | ||||
\(904\) | 0.551454 | + | 0.612452i | 0.0183411 | + | 0.0203698i | ||||
\(905\) | −33.6065 | − | 36.7916i | −1.11712 | − | 1.22299i | ||||
\(906\) | −8.01761 | − | 5.00996i | −0.266367 | − | 0.166445i | ||||
\(907\) | 16.6026 | + | 45.6154i | 0.551281 | + | 1.51463i | 0.831962 | + | 0.554832i | \(0.187217\pi\) |
−0.280681 | + | 0.959801i | \(0.590560\pi\) | |||||||
\(908\) | 13.1989 | + | 0.460915i | 0.438020 | + | 0.0152960i | ||||
\(909\) | 3.74552 | + | 15.0225i | 0.124231 | + | 0.498264i | ||||
\(910\) | −1.34296 | + | 4.81301i | −0.0445187 | + | 0.159550i | ||||
\(911\) | −17.7363 | + | 12.8862i | −0.587629 | + | 0.426937i | −0.841466 | − | 0.540310i | \(-0.818307\pi\) |
0.253838 | + | 0.967247i | \(0.418307\pi\) | |||||||
\(912\) | 9.80228 | − | 3.30439i | 0.324586 | − | 0.109419i | ||||
\(913\) | −22.0543 | + | 30.3551i | −0.729890 | + | 1.00461i | ||||
\(914\) | 18.2464 | + | 37.4107i | 0.603538 | + | 1.23744i | ||||
\(915\) | −20.5087 | + | 39.2452i | −0.677995 | + | 1.29741i | ||||
\(916\) | 2.29057 | + | 3.39591i | 0.0756825 | + | 0.112204i | ||||
\(917\) | −11.7952 | + | 9.21540i | −0.389511 | + | 0.304319i | ||||
\(918\) | −0.878410 | − | 1.04685i | −0.0289919 | − | 0.0345512i | ||||
\(919\) | −15.1083 | + | 16.7795i | −0.498377 | + | 0.553504i | −0.938879 | − | 0.344248i | \(-0.888134\pi\) |
0.440501 | + | 0.897752i | \(0.354801\pi\) | |||||||
\(920\) | 0.780203 | + | 2.34408i | 0.0257225 | + | 0.0772822i | ||||
\(921\) | −21.1793 | − | 2.97656i | −0.697882 | − | 0.0980808i | ||||
\(922\) | 0.864347 | − | 6.15015i | 0.0284658 | − | 0.202544i | ||||
\(923\) | 12.7604 | − | 1.34118i | 0.420015 | − | 0.0441453i | ||||
\(924\) | −9.55898 | − | 16.5566i | −0.314467 | − | 0.544674i | ||||
\(925\) | −1.38223 | + | 10.9706i | −0.0454473 | + | 0.360710i | ||||
\(926\) | −23.3260 | + | 8.48997i | −0.766540 | + | 0.278998i | ||||
\(927\) | −9.53402 | − | 33.2491i | −0.313138 | − | 1.09204i | ||||
\(928\) | −3.83402 | − | 6.13571i | −0.125858 | − | 0.201415i | ||||
\(929\) | −34.0447 | − | 18.1019i | −1.11697 | − | 0.593903i | −0.194859 | − | 0.980831i | \(-0.562425\pi\) |
−0.922110 | + | 0.386928i | \(0.873536\pi\) | |||||||
\(930\) | −17.3250 | − | 29.5187i | −0.568111 | − | 0.967955i | ||||
\(931\) | −17.6429 | + | 11.2957i | −0.578221 | + | 0.370203i | ||||
\(932\) | − | 10.0023i | − | 0.327636i | ||||||
\(933\) | −3.90316 | − | 27.7725i | −0.127784 | − | 0.909229i | ||||
\(934\) | −2.21585 | − | 8.88727i | −0.0725047 | − | 0.290800i | ||||
\(935\) | 9.04840 | + | 16.7281i | 0.295914 | + | 0.547066i | ||||
\(936\) | −2.22028 | + | 3.29170i | −0.0725722 | + | 0.107593i | ||||
\(937\) | −2.76910 | − | 39.6000i | −0.0904626 | − | 1.29368i | −0.804662 | − | 0.593733i | \(-0.797654\pi\) |
0.714200 | − | 0.699942i | \(-0.246791\pi\) | |||||||
\(938\) | −19.3845 | − | 2.03740i | −0.632928 | − | 0.0665234i | ||||
\(939\) | −4.02363 | − | 38.2823i | −0.131306 | − | 1.24930i | ||||
\(940\) | −9.10292 | + | 14.8021i | −0.296904 | + | 0.482790i | ||||
\(941\) | −10.9012 | + | 22.3507i | −0.355369 | + | 0.728613i | −0.999336 | − | 0.0364396i | \(-0.988398\pi\) |
0.643967 | + | 0.765053i | \(0.277287\pi\) | |||||||
\(942\) | −2.84554 | + | 13.3872i | −0.0927126 | + | 0.436178i | ||||
\(943\) | −10.8633 | + | 6.27192i | −0.353757 | + | 0.204242i | ||||
\(944\) | 11.8765 | + | 7.42123i | 0.386546 | + | 0.241541i | ||||
\(945\) | 2.23040 | + | 1.84453i | 0.0725550 | + | 0.0600025i | ||||
\(946\) | 16.3684 | − | 20.9506i | 0.532183 | − | 0.681163i | ||||
\(947\) | 17.9259 | + | 28.6874i | 0.582513 | + | 0.932215i | 0.999726 | + | 0.0234066i | \(0.00745123\pi\) |
−0.417213 | + | 0.908809i | \(0.636993\pi\) | |||||||
\(948\) | 23.1451 | − | 11.2886i | 0.751718 | − | 0.366637i | ||||
\(949\) | −16.4510 | −0.534021 | ||||||||
\(950\) | 19.3411 | − | 10.0461i | 0.627507 | − | 0.325937i | ||||
\(951\) | −0.0560444 | −0.00181737 | ||||||||
\(952\) | 2.08189 | − | 1.01541i | 0.0674745 | − | 0.0329095i | ||||
\(953\) | −9.03574 | − | 14.4602i | −0.292696 | − | 0.468412i | 0.668718 | − | 0.743516i | \(-0.266843\pi\) |
−0.961414 | + | 0.275104i | \(0.911288\pi\) | |||||||
\(954\) | 13.6193 | − | 17.4319i | 0.440942 | − | 0.564380i | ||||
\(955\) | −18.4971 | + | 46.7408i | −0.598551 | + | 1.51250i | ||||
\(956\) | 5.67740 | + | 3.54764i | 0.183620 | + | 0.114739i | ||||
\(957\) | 80.8730 | − | 46.6921i | 2.61425 | − | 1.50934i | ||||
\(958\) | −5.36135 | + | 25.2232i | −0.173217 | + | 0.814923i | ||||
\(959\) | 3.05771 | − | 6.26924i | 0.0987386 | − | 0.202444i | ||||
\(960\) | −4.90576 | + | 2.02296i | −0.158333 | + | 0.0652906i | ||||
\(961\) | −1.10838 | − | 10.5455i | −0.0357541 | − | 0.340177i | ||||
\(962\) | 3.31812 | + | 0.348749i | 0.106981 | + | 0.0112441i | ||||
\(963\) | 1.79826 | + | 25.7163i | 0.0579480 | + | 0.828695i | ||||
\(964\) | 6.59843 | − | 9.78258i | 0.212521 | − | 0.315076i | ||||
\(965\) | −29.9292 | − | 14.3336i | −0.963454 | − | 0.461414i | ||||
\(966\) | 0.939536 | + | 3.76827i | 0.0302291 | + | 0.121242i | ||||
\(967\) | −4.52243 | − | 32.1788i | −0.145432 | − | 1.03480i | −0.917067 | − | 0.398734i | \(-0.869450\pi\) |
0.771635 | − | 0.636065i | \(-0.219439\pi\) | |||||||
\(968\) | − | 18.5809i | − | 0.597214i | ||||||
\(969\) | −15.7851 | + | 3.53682i | −0.507090 | + | 0.113619i | ||||
\(970\) | 14.1424 | − | 3.11185i | 0.454085 | − | 0.0999155i | ||||
\(971\) | 52.1815 | + | 27.7454i | 1.67458 | + | 0.890392i | 0.986302 | + | 0.164950i | \(0.0527462\pi\) |
0.688283 | + | 0.725443i | \(0.258365\pi\) | |||||||
\(972\) | 11.1476 | + | 17.8399i | 0.357560 | + | 0.572215i | ||||
\(973\) | 6.98843 | + | 24.3715i | 0.224039 | + | 0.781316i | ||||
\(974\) | 24.5760 | − | 8.94493i | 0.787466 | − | 0.286614i | ||||
\(975\) | −7.61677 | + | 16.2003i | −0.243932 | + | 0.518826i | ||||
\(976\) | 4.17233 | + | 7.22668i | 0.133553 | + | 0.231320i | ||||
\(977\) | −59.3861 | + | 6.24173i | −1.89993 | + | 0.199691i | −0.980902 | − | 0.194501i | \(-0.937691\pi\) |
−0.919028 | + | 0.394191i | \(0.871025\pi\) | |||||||
\(978\) | 2.38413 | − | 16.9640i | 0.0762362 | − | 0.542449i | ||||
\(979\) | 15.9721 | + | 2.24473i | 0.510469 | + | 0.0717418i | ||||
\(980\) | 8.64886 | − | 6.37870i | 0.276278 | − | 0.203760i | ||||
\(981\) | 13.3096 | − | 14.7818i | 0.424941 | − | 0.471945i | ||||
\(982\) | 23.9235 | + | 28.5109i | 0.763429 | + | 0.909820i | ||||
\(983\) | 43.4025 | − | 33.9097i | 1.38432 | − | 1.08155i | 0.397884 | − | 0.917436i | \(-0.369745\pi\) |
0.986441 | − | 0.164117i | \(-0.0524775\pi\) | |||||||
\(984\) | −15.0665 | − | 22.3370i | −0.480302 | − | 0.712077i | ||||
\(985\) | 12.0719 | − | 5.99500i | 0.384641 | − | 0.191017i | ||||
\(986\) | 4.95988 | + | 10.1693i | 0.157955 | + | 0.323855i | ||||
\(987\) | −16.0564 | + | 22.0997i | −0.511079 | + | 0.703440i | ||||
\(988\) | −3.15092 | − | 5.77220i | −0.100244 | − | 0.183638i | ||||
\(989\) | −4.36937 | + | 3.17453i | −0.138938 | + | 0.100944i | ||||
\(990\) | −11.1615 | − | 29.9973i | −0.354737 | − | 0.953376i | ||||
\(991\) | 15.0409 | + | 60.3258i | 0.477791 | + | 1.91631i | 0.391898 | + | 0.920009i | \(0.371819\pi\) |
0.0858929 | + | 0.996304i | \(0.472626\pi\) | |||||||
\(992\) | −6.44615 | − | 0.225105i | −0.204666 | − | 0.00714708i | ||||
\(993\) | 23.5739 | + | 64.7688i | 0.748095 | + | 2.05537i | ||||
\(994\) | 10.6828 | + | 6.67537i | 0.338839 | + | 0.211730i | ||||
\(995\) | −33.7322 | + | 15.3083i | −1.06938 | + | 0.485306i | ||||
\(996\) | 10.9547 | + | 12.1665i | 0.347114 | + | 0.385509i | ||||
\(997\) | 7.61761 | − | 54.2021i | 0.241252 | − | 1.71660i | −0.373291 | − | 0.927714i | \(-0.621771\pi\) |
0.614543 | − | 0.788883i | \(-0.289340\pi\) | |||||||
\(998\) | 8.90133 | − | 9.21760i | 0.281767 | − | 0.291778i | ||||
\(999\) | 0.966261 | − | 1.67361i | 0.0305712 | − | 0.0529508i |
(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 | 950.2.bg.a.739.20 | yes | 1200 | |
19.9 | even | 9 | inner | 950.2.bg.a.389.45 | yes | 1200 | |
25.9 | even | 10 | inner | 950.2.bg.a.359.45 | yes | 1200 | |
475.9 | even | 90 | inner | 950.2.bg.a.9.20 | ✓ | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bg.a.9.20 | ✓ | 1200 | 475.9 | even | 90 | inner | |
950.2.bg.a.359.45 | yes | 1200 | 25.9 | even | 10 | inner | |
950.2.bg.a.389.45 | yes | 1200 | 19.9 | even | 9 | inner | |
950.2.bg.a.739.20 | yes | 1200 | 1.1 | even | 1 | trivial |