Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (of order \(3\), degree \(2\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.4601315889.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Root | \(-1.02359 + 1.77290i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.11 |
Dual form | 95.2.e.c.26.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.595455 | − | 1.03136i | 0.421050 | − | 0.729280i | −0.574992 | − | 0.818159i | \(-0.694995\pi\) |
0.996042 | + | 0.0888786i | \(0.0283283\pi\) | |||||||
\(3\) | −1.52359 | + | 2.63893i | −0.879643 | + | 1.52359i | −0.0279089 | + | 0.999610i | \(0.508885\pi\) |
−0.851734 | + | 0.523975i | \(0.824448\pi\) | |||||||
\(4\) | 0.290867 | + | 0.503797i | 0.145434 | + | 0.251898i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 1.81445 | + | 3.14272i | 0.740747 | + | 1.28301i | ||||
\(7\) | −0.609175 | −0.230247 | −0.115123 | − | 0.993351i | \(-0.536726\pi\) | ||||
−0.115123 | + | 0.993351i | \(0.536726\pi\) | |||||||
\(8\) | 3.07461 | 1.08704 | ||||||||
\(9\) | −3.14263 | − | 5.44319i | −1.04754 | − | 1.81440i | ||||
\(10\) | 0.595455 | + | 1.03136i | 0.188299 | + | 0.326144i | ||||
\(11\) | 4.48517 | 1.35233 | 0.676164 | − | 0.736751i | \(-0.263641\pi\) | ||||
0.676164 | + | 0.736751i | \(0.263641\pi\) | |||||||
\(12\) | −1.77264 | −0.511718 | ||||||||
\(13\) | −2.21900 | − | 3.84342i | −0.615439 | − | 1.06597i | −0.990307 | − | 0.138894i | \(-0.955645\pi\) |
0.374868 | − | 0.927078i | \(-0.377688\pi\) | |||||||
\(14\) | −0.362736 | + | 0.628278i | −0.0969454 | + | 0.167914i | ||||
\(15\) | −1.52359 | − | 2.63893i | −0.393388 | − | 0.681368i | ||||
\(16\) | 1.24906 | − | 2.16343i | 0.312265 | − | 0.540858i | ||||
\(17\) | −1.45172 | + | 2.51445i | −0.352093 | + | 0.609843i | −0.986616 | − | 0.163061i | \(-0.947863\pi\) |
0.634523 | + | 0.772904i | \(0.281197\pi\) | |||||||
\(18\) | −7.48517 | −1.76427 | ||||||||
\(19\) | 3.60532 | − | 2.44983i | 0.827117 | − | 0.562030i | ||||
\(20\) | −0.581734 | −0.130080 | ||||||||
\(21\) | 0.928131 | − | 1.60757i | 0.202535 | − | 0.350800i | ||||
\(22\) | 2.67071 | − | 4.62581i | 0.569398 | − | 0.986227i | ||||
\(23\) | 1.42363 | + | 2.46580i | 0.296847 | + | 0.514154i | 0.975413 | − | 0.220386i | \(-0.0707315\pi\) |
−0.678566 | + | 0.734540i | \(0.737398\pi\) | |||||||
\(24\) | −4.68443 | + | 8.11368i | −0.956206 | + | 1.65620i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −5.28525 | −1.03652 | ||||||||
\(27\) | 10.0107 | 1.92656 | ||||||||
\(28\) | −0.177189 | − | 0.306901i | −0.0334856 | − | 0.0579987i | ||||
\(29\) | −0.558149 | − | 0.966742i | −0.103646 | − | 0.179519i | 0.809538 | − | 0.587067i | \(-0.199717\pi\) |
−0.913184 | + | 0.407547i | \(0.866384\pi\) | |||||||
\(30\) | −3.62891 | −0.662544 | ||||||||
\(31\) | −6.22908 | −1.11877 | −0.559387 | − | 0.828906i | \(-0.688964\pi\) | ||||
−0.559387 | + | 0.828906i | \(0.688964\pi\) | |||||||
\(32\) | 1.58710 | + | 2.74893i | 0.280562 | + | 0.485947i | ||||
\(33\) | −6.83354 | + | 11.8360i | −1.18957 | + | 2.06039i | ||||
\(34\) | 1.72886 | + | 2.99448i | 0.296498 | + | 0.513549i | ||||
\(35\) | 0.304588 | − | 0.527561i | 0.0514847 | − | 0.0891741i | ||||
\(36\) | 1.82817 | − | 3.16649i | 0.304696 | − | 0.527748i | ||||
\(37\) | −3.77264 | −0.620219 | −0.310109 | − | 0.950701i | \(-0.600366\pi\) | ||||
−0.310109 | + | 0.950701i | \(0.600366\pi\) | |||||||
\(38\) | −0.379847 | − | 5.17714i | −0.0616193 | − | 0.839843i | ||||
\(39\) | 13.5233 | 2.16547 | ||||||||
\(40\) | −1.53731 | + | 2.66269i | −0.243069 | + | 0.421009i | ||||
\(41\) | 4.15184 | − | 7.19120i | 0.648409 | − | 1.12308i | −0.335094 | − | 0.942185i | \(-0.608768\pi\) |
0.983503 | − | 0.180893i | \(-0.0578987\pi\) | |||||||
\(42\) | −1.10532 | − | 1.91447i | −0.170555 | − | 0.295409i | ||||
\(43\) | 4.99438 | − | 8.65053i | 0.761637 | − | 1.31919i | −0.180370 | − | 0.983599i | \(-0.557730\pi\) |
0.942007 | − | 0.335594i | \(-0.108937\pi\) | |||||||
\(44\) | 1.30459 | + | 2.25961i | 0.196674 | + | 0.340649i | ||||
\(45\) | 6.28525 | 0.936950 | ||||||||
\(46\) | 3.39082 | 0.499950 | ||||||||
\(47\) | 2.94250 | + | 5.09656i | 0.429208 | + | 0.743409i | 0.996803 | − | 0.0798983i | \(-0.0254596\pi\) |
−0.567595 | + | 0.823308i | \(0.692126\pi\) | |||||||
\(48\) | 3.80609 | + | 6.59235i | 0.549362 | + | 0.951524i | ||||
\(49\) | −6.62891 | −0.946986 | ||||||||
\(50\) | −1.19091 | −0.168420 | ||||||||
\(51\) | −4.42363 | − | 7.66195i | −0.619432 | − | 1.07289i | ||||
\(52\) | 1.29087 | − | 2.23585i | 0.179011 | − | 0.310056i | ||||
\(53\) | −4.22436 | − | 7.31681i | −0.580261 | − | 1.00504i | −0.995448 | − | 0.0953049i | \(-0.969617\pi\) |
0.415188 | − | 0.909736i | \(-0.363716\pi\) | |||||||
\(54\) | 5.96093 | − | 10.3246i | 0.811180 | − | 1.40501i | ||||
\(55\) | −2.24258 | + | 3.88427i | −0.302390 | + | 0.523755i | ||||
\(56\) | −1.87298 | −0.250287 | ||||||||
\(57\) | 0.971912 | + | 13.2467i | 0.128733 | + | 1.75457i | ||||
\(58\) | −1.32941 | −0.174560 | ||||||||
\(59\) | −5.11793 | + | 8.86451i | −0.666297 | + | 1.15406i | 0.312634 | + | 0.949874i | \(0.398789\pi\) |
−0.978932 | + | 0.204187i | \(0.934545\pi\) | |||||||
\(60\) | 0.886322 | − | 1.53515i | 0.114424 | − | 0.198188i | ||||
\(61\) | 2.49099 | + | 4.31453i | 0.318939 | + | 0.552419i | 0.980267 | − | 0.197678i | \(-0.0633401\pi\) |
−0.661328 | + | 0.750097i | \(0.730007\pi\) | |||||||
\(62\) | −3.70913 | + | 6.42441i | −0.471060 | + | 0.815900i | ||||
\(63\) | 1.91441 | + | 3.31586i | 0.241193 | + | 0.417759i | ||||
\(64\) | 8.77641 | 1.09705 | ||||||||
\(65\) | 4.43800 | 0.550466 | ||||||||
\(66\) | 8.13812 | + | 14.0956i | 1.00173 | + | 1.73505i | ||||
\(67\) | −4.23808 | − | 7.34057i | −0.517764 | − | 0.896794i | −0.999787 | − | 0.0206350i | \(-0.993431\pi\) |
0.482023 | − | 0.876159i | \(-0.339902\pi\) | |||||||
\(68\) | −1.68903 | −0.204825 | ||||||||
\(69\) | −8.67608 | −1.04448 | ||||||||
\(70\) | −0.362736 | − | 0.628278i | −0.0433553 | − | 0.0750936i | ||||
\(71\) | −5.80995 | + | 10.0631i | −0.689514 | + | 1.19427i | 0.282481 | + | 0.959273i | \(0.408843\pi\) |
−0.971995 | + | 0.235001i | \(0.924491\pi\) | |||||||
\(72\) | −9.66236 | − | 16.7357i | −1.13872 | − | 1.97232i | ||||
\(73\) | −1.86162 | + | 3.22443i | −0.217887 | + | 0.377391i | −0.954162 | − | 0.299292i | \(-0.903250\pi\) |
0.736275 | + | 0.676682i | \(0.236583\pi\) | |||||||
\(74\) | −2.24644 | + | 3.89095i | −0.261143 | + | 0.452313i | ||||
\(75\) | 3.04717 | 0.351857 | ||||||||
\(76\) | 2.28289 | + | 1.10377i | 0.261865 | + | 0.126611i | ||||
\(77\) | −2.73225 | −0.311369 | ||||||||
\(78\) | 8.05253 | − | 13.9474i | 0.911770 | − | 1.57923i | ||||
\(79\) | −4.51908 | + | 7.82728i | −0.508437 | + | 0.880638i | 0.491516 | + | 0.870869i | \(0.336443\pi\) |
−0.999952 | + | 0.00976923i | \(0.996890\pi\) | |||||||
\(80\) | 1.24906 | + | 2.16343i | 0.139649 | + | 0.241879i | ||||
\(81\) | −5.82432 | + | 10.0880i | −0.647146 | + | 1.12089i | ||||
\(82\) | −4.94447 | − | 8.56407i | −0.546025 | − | 0.945744i | ||||
\(83\) | −2.12178 | −0.232896 | −0.116448 | − | 0.993197i | \(-0.537151\pi\) | ||||
−0.116448 | + | 0.993197i | \(0.537151\pi\) | |||||||
\(84\) | 1.07985 | 0.117821 | ||||||||
\(85\) | −1.45172 | − | 2.51445i | −0.157461 | − | 0.272730i | ||||
\(86\) | −5.94786 | − | 10.3020i | −0.641374 | − | 1.11089i | ||||
\(87\) | 3.40155 | 0.364684 | ||||||||
\(88\) | 13.7901 | 1.47003 | ||||||||
\(89\) | −3.96608 | − | 6.86946i | −0.420404 | − | 0.728161i | 0.575575 | − | 0.817749i | \(-0.304778\pi\) |
−0.995979 | + | 0.0895879i | \(0.971445\pi\) | |||||||
\(90\) | 3.74258 | − | 6.48234i | 0.394503 | − | 0.683299i | ||||
\(91\) | 1.35176 | + | 2.34131i | 0.141703 | + | 0.245436i | ||||
\(92\) | −0.828173 | + | 1.43444i | −0.0863430 | + | 0.149551i | ||||
\(93\) | 9.49053 | − | 16.4381i | 0.984122 | − | 1.70455i | ||||
\(94\) | 7.00850 | 0.722872 | ||||||||
\(95\) | 0.318955 | + | 4.34721i | 0.0327241 | + | 0.446015i | ||||
\(96\) | −9.67231 | −0.987176 | ||||||||
\(97\) | 4.83628 | − | 8.37668i | 0.491050 | − | 0.850523i | −0.508897 | − | 0.860827i | \(-0.669947\pi\) |
0.999947 | + | 0.0103043i | \(0.00328001\pi\) | |||||||
\(98\) | −3.94721 | + | 6.83677i | −0.398729 | + | 0.690619i | ||||
\(99\) | −14.0952 | − | 24.4136i | −1.41662 | − | 2.45366i | ||||
\(100\) | 0.290867 | − | 0.503797i | 0.0290867 | − | 0.0503797i | ||||
\(101\) | 0.485632 | + | 0.841140i | 0.0483222 | + | 0.0836965i | 0.889175 | − | 0.457568i | \(-0.151279\pi\) |
−0.840853 | + | 0.541264i | \(0.817946\pi\) | |||||||
\(102\) | −10.5363 | −1.04325 | ||||||||
\(103\) | −3.34143 | −0.329241 | −0.164620 | − | 0.986357i | \(-0.552640\pi\) | ||||
−0.164620 | + | 0.986357i | \(0.552640\pi\) | |||||||
\(104\) | −6.82256 | − | 11.8170i | −0.669007 | − | 1.15875i | ||||
\(105\) | 0.928131 | + | 1.60757i | 0.0905763 | + | 0.156883i | ||||
\(106\) | −10.0617 | −0.977275 | ||||||||
\(107\) | 9.51655 | 0.920000 | 0.460000 | − | 0.887919i | \(-0.347849\pi\) | ||||
0.460000 | + | 0.887919i | \(0.347849\pi\) | |||||||
\(108\) | 2.91179 | + | 5.04337i | 0.280187 | + | 0.485298i | ||||
\(109\) | −2.77178 | + | 4.80087i | −0.265489 | + | 0.459840i | −0.967692 | − | 0.252137i | \(-0.918867\pi\) |
0.702203 | + | 0.711977i | \(0.252200\pi\) | |||||||
\(110\) | 2.67071 | + | 4.62581i | 0.254643 | + | 0.441054i | ||||
\(111\) | 5.74795 | − | 9.95573i | 0.545571 | − | 0.944956i | ||||
\(112\) | −0.760896 | + | 1.31791i | −0.0718979 | + | 0.124531i | ||||
\(113\) | 1.54134 | 0.144997 | 0.0724987 | − | 0.997369i | \(-0.476903\pi\) | ||||
0.0724987 | + | 0.997369i | \(0.476903\pi\) | |||||||
\(114\) | 14.2408 | + | 6.88542i | 1.33378 | + | 0.644879i | ||||
\(115\) | −2.84726 | −0.265508 | ||||||||
\(116\) | 0.324694 | − | 0.562387i | 0.0301471 | − | 0.0522163i | ||||
\(117\) | −13.9470 | + | 24.1568i | −1.28940 | + | 2.23330i | ||||
\(118\) | 6.09499 | + | 10.5568i | 0.561089 | + | 0.971835i | ||||
\(119\) | 0.884350 | − | 1.53174i | 0.0810682 | − | 0.140414i | ||||
\(120\) | −4.68443 | − | 8.11368i | −0.427628 | − | 0.740674i | ||||
\(121\) | 9.11672 | 0.828793 | ||||||||
\(122\) | 5.93310 | 0.537158 | ||||||||
\(123\) | 12.6514 | + | 21.9128i | 1.14074 | + | 1.97581i | ||||
\(124\) | −1.81183 | − | 3.13819i | −0.162707 | − | 0.281818i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 4.55978 | 0.406217 | ||||||||
\(127\) | −1.15274 | − | 1.99661i | −0.102289 | − | 0.177171i | 0.810338 | − | 0.585963i | \(-0.199283\pi\) |
−0.912628 | + | 0.408792i | \(0.865950\pi\) | |||||||
\(128\) | 2.05176 | − | 3.55376i | 0.181352 | − | 0.314111i | ||||
\(129\) | 15.2187 | + | 26.3596i | 1.33994 | + | 2.32084i | ||||
\(130\) | 2.64263 | − | 4.57716i | 0.231774 | − | 0.401444i | ||||
\(131\) | 6.45905 | − | 11.1874i | 0.564330 | − | 0.977448i | −0.432782 | − | 0.901499i | \(-0.642468\pi\) |
0.997112 | − | 0.0759493i | \(-0.0241987\pi\) | |||||||
\(132\) | −7.95060 | −0.692011 | ||||||||
\(133\) | −2.19627 | + | 1.49238i | −0.190441 | + | 0.129405i | ||||
\(134\) | −10.0943 | −0.872018 | ||||||||
\(135\) | −5.00536 | + | 8.66954i | −0.430793 | + | 0.746155i | ||||
\(136\) | −4.46346 | + | 7.73095i | −0.382739 | + | 0.662923i | ||||
\(137\) | 6.36677 | + | 11.0276i | 0.543950 | + | 0.942149i | 0.998672 | + | 0.0515159i | \(0.0164053\pi\) |
−0.454722 | + | 0.890633i | \(0.650261\pi\) | |||||||
\(138\) | −5.16621 | + | 8.94814i | −0.439777 | + | 0.761716i | ||||
\(139\) | −5.30433 | − | 9.18738i | −0.449908 | − | 0.779263i | 0.548472 | − | 0.836169i | \(-0.315210\pi\) |
−0.998380 | + | 0.0569059i | \(0.981876\pi\) | |||||||
\(140\) | 0.354378 | 0.0299504 | ||||||||
\(141\) | −17.9326 | −1.51020 | ||||||||
\(142\) | 6.91913 | + | 11.9843i | 0.580640 | + | 1.00570i | ||||
\(143\) | −9.95258 | − | 17.2384i | −0.832276 | − | 1.44154i | ||||
\(144\) | −15.7013 | −1.30844 | ||||||||
\(145\) | 1.11630 | 0.0927035 | ||||||||
\(146\) | 2.21703 | + | 3.84000i | 0.183482 | + | 0.317801i | ||||
\(147\) | 10.0997 | − | 17.4932i | 0.833010 | − | 1.44281i | ||||
\(148\) | −1.09734 | − | 1.90065i | −0.0902006 | − | 0.156232i | ||||
\(149\) | −1.88653 | + | 3.26757i | −0.154551 | + | 0.267690i | −0.932895 | − | 0.360147i | \(-0.882726\pi\) |
0.778344 | + | 0.627837i | \(0.216060\pi\) | |||||||
\(150\) | 1.81445 | − | 3.14272i | 0.148149 | − | 0.256602i | ||||
\(151\) | −9.51562 | −0.774370 | −0.387185 | − | 0.922002i | \(-0.626553\pi\) | ||||
−0.387185 | + | 0.922002i | \(0.626553\pi\) | |||||||
\(152\) | 11.0850 | − | 7.53228i | 0.899109 | − | 0.610948i | ||||
\(153\) | 18.2488 | 1.47533 | ||||||||
\(154\) | −1.62693 | + | 2.81793i | −0.131102 | + | 0.227075i | ||||
\(155\) | 3.11454 | − | 5.39454i | 0.250166 | − | 0.433300i | ||||
\(156\) | 3.93349 | + | 6.81301i | 0.314931 | + | 0.545477i | ||||
\(157\) | 1.72822 | − | 2.99336i | 0.137927 | − | 0.238896i | −0.788785 | − | 0.614669i | \(-0.789290\pi\) |
0.926712 | + | 0.375773i | \(0.122623\pi\) | |||||||
\(158\) | 5.38182 | + | 9.32158i | 0.428155 | + | 0.741585i | ||||
\(159\) | 25.7447 | 2.04169 | ||||||||
\(160\) | −3.17419 | −0.250942 | ||||||||
\(161\) | −0.867239 | − | 1.50210i | −0.0683480 | − | 0.118382i | ||||
\(162\) | 6.93624 | + | 12.0139i | 0.544962 | + | 0.943902i | ||||
\(163\) | 6.65283 | 0.521090 | 0.260545 | − | 0.965462i | \(-0.416098\pi\) | ||||
0.260545 | + | 0.965462i | \(0.416098\pi\) | |||||||
\(164\) | 4.83054 | 0.377202 | ||||||||
\(165\) | −6.83354 | − | 11.8360i | −0.531990 | − | 0.921434i | ||||
\(166\) | −1.26343 | + | 2.18832i | −0.0980609 | + | 0.169846i | ||||
\(167\) | 8.22775 | + | 14.2509i | 0.636682 | + | 1.10277i | 0.986156 | + | 0.165820i | \(0.0530271\pi\) |
−0.349474 | + | 0.936946i | \(0.613640\pi\) | |||||||
\(168\) | 2.85364 | − | 4.94265i | 0.220163 | − | 0.381334i | ||||
\(169\) | −3.34790 | + | 5.79874i | −0.257531 | + | 0.446057i | ||||
\(170\) | −3.45773 | −0.265195 | ||||||||
\(171\) | −24.6651 | − | 11.9255i | −1.88618 | − | 0.911968i | ||||
\(172\) | 5.81081 | 0.443070 | ||||||||
\(173\) | 11.3912 | − | 19.7302i | 0.866058 | − | 1.50006i | 6.58713e−5 | − | 1.00000i | \(-0.499979\pi\) |
0.865992 | − | 0.500057i | \(-0.166688\pi\) | |||||||
\(174\) | 2.02547 | − | 3.50822i | 0.153550 | − | 0.265957i | ||||
\(175\) | 0.304588 | + | 0.527561i | 0.0230247 | + | 0.0398799i | ||||
\(176\) | 5.60224 | − | 9.70336i | 0.422284 | − | 0.731418i | ||||
\(177\) | −15.5952 | − | 27.0117i | −1.17221 | − | 2.03032i | ||||
\(178\) | −9.44650 | −0.708045 | ||||||||
\(179\) | −2.32916 | −0.174090 | −0.0870449 | − | 0.996204i | \(-0.527742\pi\) | ||||
−0.0870449 | + | 0.996204i | \(0.527742\pi\) | |||||||
\(180\) | 1.82817 | + | 3.16649i | 0.136264 | + | 0.236016i | ||||
\(181\) | 11.1696 | + | 19.3463i | 0.830230 | + | 1.43800i | 0.897856 | + | 0.440290i | \(0.145124\pi\) |
−0.0676258 | + | 0.997711i | \(0.521542\pi\) | |||||||
\(182\) | 3.21965 | 0.238656 | ||||||||
\(183\) | −15.1810 | −1.12221 | ||||||||
\(184\) | 4.37710 | + | 7.58137i | 0.322684 | + | 0.558906i | ||||
\(185\) | 1.88632 | − | 3.26721i | 0.138685 | − | 0.240210i | ||||
\(186\) | −11.3024 | − | 19.5763i | −0.828729 | − | 1.43540i | ||||
\(187\) | −6.51119 | + | 11.2777i | −0.476145 | + | 0.824708i | ||||
\(188\) | −1.71175 | + | 2.96484i | −0.124842 | + | 0.216233i | ||||
\(189\) | −6.09829 | −0.443585 | ||||||||
\(190\) | 4.67346 | + | 2.25961i | 0.339048 | + | 0.163929i | ||||
\(191\) | 2.23766 | 0.161911 | 0.0809556 | − | 0.996718i | \(-0.474203\pi\) | ||||
0.0809556 | + | 0.996718i | \(0.474203\pi\) | |||||||
\(192\) | −13.3716 | + | 23.1603i | −0.965013 | + | 1.67145i | ||||
\(193\) | 2.27153 | − | 3.93441i | 0.163508 | − | 0.283205i | −0.772616 | − | 0.634873i | \(-0.781052\pi\) |
0.936125 | + | 0.351669i | \(0.114386\pi\) | |||||||
\(194\) | −5.75957 | − | 9.97587i | −0.413513 | − | 0.716226i | ||||
\(195\) | −6.76167 | + | 11.7115i | −0.484213 | + | 0.838681i | ||||
\(196\) | −1.92813 | − | 3.33962i | −0.137724 | − | 0.238544i | ||||
\(197\) | −19.2236 | −1.36962 | −0.684812 | − | 0.728720i | \(-0.740116\pi\) | ||||
−0.684812 | + | 0.728720i | \(0.740116\pi\) | |||||||
\(198\) | −33.5722 | −2.38587 | ||||||||
\(199\) | 3.07547 | + | 5.32687i | 0.218014 | + | 0.377612i | 0.954201 | − | 0.299167i | \(-0.0967087\pi\) |
−0.736186 | + | 0.676779i | \(0.763375\pi\) | |||||||
\(200\) | −1.53731 | − | 2.66269i | −0.108704 | − | 0.188281i | ||||
\(201\) | 25.8283 | 1.82179 | ||||||||
\(202\) | 1.15669 | 0.0813843 | ||||||||
\(203\) | 0.340010 | + | 0.588915i | 0.0238641 | + | 0.0413338i | ||||
\(204\) | 2.57338 | − | 4.45722i | 0.180172 | − | 0.312068i | ||||
\(205\) | 4.15184 | + | 7.19120i | 0.289977 | + | 0.502255i | ||||
\(206\) | −1.98967 | + | 3.44621i | −0.138627 | + | 0.240109i | ||||
\(207\) | 8.94786 | − | 15.4981i | 0.621919 | − | 1.07720i | ||||
\(208\) | −11.0866 | −0.768720 | ||||||||
\(209\) | 16.1705 | − | 10.9879i | 1.11853 | − | 0.760049i | ||||
\(210\) | 2.21064 | 0.152549 | ||||||||
\(211\) | −6.34661 | + | 10.9926i | −0.436919 | + | 0.756765i | −0.997450 | − | 0.0713679i | \(-0.977264\pi\) |
0.560531 | + | 0.828133i | \(0.310597\pi\) | |||||||
\(212\) | 2.45746 | − | 4.25644i | 0.168779 | − | 0.292333i | ||||
\(213\) | −17.7039 | − | 30.6641i | −1.21305 | − | 2.10107i | ||||
\(214\) | 5.66668 | − | 9.81497i | 0.387366 | − | 0.670938i | ||||
\(215\) | 4.99438 | + | 8.65053i | 0.340614 | + | 0.589961i | ||||
\(216\) | 30.7791 | 2.09425 | ||||||||
\(217\) | 3.79460 | 0.257594 | ||||||||
\(218\) | 3.30094 | + | 5.71740i | 0.223568 | + | 0.387231i | ||||
\(219\) | −5.67269 | − | 9.82538i | −0.383325 | − | 0.663938i | ||||
\(220\) | −2.60918 | −0.175911 | ||||||||
\(221\) | 12.8854 | 0.866767 | ||||||||
\(222\) | −6.84528 | − | 11.8564i | −0.459425 | − | 0.795748i | ||||
\(223\) | −11.2688 | + | 19.5181i | −0.754614 | + | 1.30703i | 0.190952 | + | 0.981599i | \(0.438842\pi\) |
−0.945566 | + | 0.325430i | \(0.894491\pi\) | |||||||
\(224\) | −0.966820 | − | 1.67458i | −0.0645984 | − | 0.111888i | ||||
\(225\) | −3.14263 | + | 5.44319i | −0.209508 | + | 0.362879i | ||||
\(226\) | 0.917800 | − | 1.58968i | 0.0610512 | − | 0.105744i | ||||
\(227\) | 18.1124 | 1.20216 | 0.601080 | − | 0.799189i | \(-0.294737\pi\) | ||||
0.601080 | + | 0.799189i | \(0.294737\pi\) | |||||||
\(228\) | −6.39095 | + | 4.34268i | −0.423251 | + | 0.287601i | ||||
\(229\) | −9.41604 | −0.622229 | −0.311115 | − | 0.950372i | \(-0.600702\pi\) | ||||
−0.311115 | + | 0.950372i | \(0.600702\pi\) | |||||||
\(230\) | −1.69541 | + | 2.93654i | −0.111792 | + | 0.193630i | ||||
\(231\) | 4.16282 | − | 7.21022i | 0.273894 | − | 0.474398i | ||||
\(232\) | −1.71609 | − | 2.97236i | −0.112667 | − | 0.195145i | ||||
\(233\) | −7.85000 | + | 13.5966i | −0.514271 | + | 0.890743i | 0.485592 | + | 0.874185i | \(0.338604\pi\) |
−0.999863 | + | 0.0165573i | \(0.994729\pi\) | |||||||
\(234\) | 16.6096 | + | 28.7686i | 1.08580 | + | 1.88066i | ||||
\(235\) | −5.88500 | −0.383895 | ||||||||
\(236\) | −5.95455 | −0.387608 | ||||||||
\(237\) | −13.7704 | − | 23.8511i | −0.894485 | − | 1.54929i | ||||
\(238\) | −1.05318 | − | 1.82416i | −0.0682676 | − | 0.118243i | ||||
\(239\) | −23.4610 | −1.51757 | −0.758783 | − | 0.651344i | \(-0.774205\pi\) | ||||
−0.758783 | + | 0.651344i | \(0.774205\pi\) | |||||||
\(240\) | −7.61219 | −0.491365 | ||||||||
\(241\) | −6.58469 | − | 11.4050i | −0.424157 | − | 0.734662i | 0.572184 | − | 0.820125i | \(-0.306096\pi\) |
−0.996341 | + | 0.0854634i | \(0.972763\pi\) | |||||||
\(242\) | 5.42860 | − | 9.40260i | 0.348963 | − | 0.604422i | ||||
\(243\) | −2.73161 | − | 4.73128i | −0.175233 | − | 0.303512i | ||||
\(244\) | −1.44910 | + | 2.50991i | −0.0927689 | + | 0.160680i | ||||
\(245\) | 3.31445 | − | 5.74080i | 0.211753 | − | 0.366766i | ||||
\(246\) | 30.1333 | 1.92123 | ||||||||
\(247\) | −17.4159 | − | 8.42058i | −1.10815 | − | 0.535789i | ||||
\(248\) | −19.1520 | −1.21615 | ||||||||
\(249\) | 3.23272 | − | 5.59923i | 0.204865 | − | 0.354837i | ||||
\(250\) | 0.595455 | − | 1.03136i | 0.0376599 | − | 0.0652288i | ||||
\(251\) | 8.66257 | + | 15.0040i | 0.546776 | + | 0.947045i | 0.998493 | + | 0.0548830i | \(0.0174786\pi\) |
−0.451716 | + | 0.892162i | \(0.649188\pi\) | |||||||
\(252\) | −1.11368 | + | 1.92895i | −0.0701551 | + | 0.121512i | ||||
\(253\) | 6.38521 | + | 11.0595i | 0.401435 | + | 0.695305i | ||||
\(254\) | −2.74563 | −0.172276 | ||||||||
\(255\) | 8.84726 | 0.554037 | ||||||||
\(256\) | 6.33295 | + | 10.9690i | 0.395809 | + | 0.685562i | ||||
\(257\) | 2.83980 | + | 4.91867i | 0.177142 | + | 0.306818i | 0.940900 | − | 0.338683i | \(-0.109982\pi\) |
−0.763759 | + | 0.645502i | \(0.776648\pi\) | |||||||
\(258\) | 36.2483 | 2.25672 | ||||||||
\(259\) | 2.29820 | 0.142803 | ||||||||
\(260\) | 1.29087 | + | 2.23585i | 0.0800562 | + | 0.138661i | ||||
\(261\) | −3.50811 | + | 6.07622i | −0.217146 | + | 0.376108i | ||||
\(262\) | −7.69215 | − | 13.3232i | −0.475222 | − | 0.823109i | ||||
\(263\) | −2.82882 | + | 4.89966i | −0.174433 | + | 0.302126i | −0.939965 | − | 0.341272i | \(-0.889142\pi\) |
0.765532 | + | 0.643398i | \(0.222476\pi\) | |||||||
\(264\) | −21.0105 | + | 36.3912i | −1.29311 | + | 2.23972i | ||||
\(265\) | 8.44872 | 0.519001 | ||||||||
\(266\) | 0.231393 | + | 3.15379i | 0.0141876 | + | 0.193371i | ||||
\(267\) | 24.1707 | 1.47922 | ||||||||
\(268\) | 2.46544 | − | 4.27026i | 0.150601 | − | 0.260848i | ||||
\(269\) | 11.9959 | − | 20.7775i | 0.731402 | − | 1.26683i | −0.224881 | − | 0.974386i | \(-0.572199\pi\) |
0.956284 | − | 0.292440i | \(-0.0944672\pi\) | |||||||
\(270\) | 5.96093 | + | 10.3246i | 0.362771 | + | 0.628338i | ||||
\(271\) | 10.6497 | − | 18.4459i | 0.646926 | − | 1.12051i | −0.336927 | − | 0.941531i | \(-0.609388\pi\) |
0.983853 | − | 0.178978i | \(-0.0572791\pi\) | |||||||
\(272\) | 3.62656 | + | 6.28138i | 0.219892 | + | 0.380865i | ||||
\(273\) | −8.23808 | −0.498591 | ||||||||
\(274\) | 15.1645 | 0.916121 | ||||||||
\(275\) | −2.24258 | − | 3.88427i | −0.135233 | − | 0.234230i | ||||
\(276\) | −2.52359 | − | 4.37098i | −0.151902 | − | 0.263102i | ||||
\(277\) | −0.821109 | −0.0493357 | −0.0246678 | − | 0.999696i | \(-0.507853\pi\) | ||||
−0.0246678 | + | 0.999696i | \(0.507853\pi\) | |||||||
\(278\) | −12.6340 | −0.757735 | ||||||||
\(279\) | 19.5757 | + | 33.9060i | 1.17196 | + | 2.02990i | ||||
\(280\) | 0.936489 | − | 1.62205i | 0.0559659 | − | 0.0969358i | ||||
\(281\) | 0.293739 | + | 0.508772i | 0.0175230 | + | 0.0303508i | 0.874654 | − | 0.484748i | \(-0.161089\pi\) |
−0.857131 | + | 0.515099i | \(0.827755\pi\) | |||||||
\(282\) | −10.6780 | + | 18.4949i | −0.635869 | + | 1.10136i | ||||
\(283\) | −15.4712 | + | 26.7969i | −0.919667 | + | 1.59291i | −0.119746 | + | 0.992805i | \(0.538208\pi\) |
−0.799921 | + | 0.600105i | \(0.795125\pi\) | |||||||
\(284\) | −6.75969 | −0.401114 | ||||||||
\(285\) | −11.9579 | − | 5.78165i | −0.708327 | − | 0.342475i | ||||
\(286\) | −23.7052 | −1.40172 | ||||||||
\(287\) | −2.52920 | + | 4.38070i | −0.149294 | + | 0.258585i | ||||
\(288\) | 9.97530 | − | 17.2777i | 0.587800 | − | 1.01810i | ||||
\(289\) | 4.28504 | + | 7.42191i | 0.252061 | + | 0.436583i | ||||
\(290\) | 0.664705 | − | 1.15130i | 0.0390328 | − | 0.0676068i | ||||
\(291\) | 14.7370 | + | 25.5252i | 0.863896 | + | 1.49631i | ||||
\(292\) | −2.16594 | −0.126752 | ||||||||
\(293\) | 3.76271 | 0.219820 | 0.109910 | − | 0.993942i | \(-0.464944\pi\) | ||||
0.109910 | + | 0.993942i | \(0.464944\pi\) | |||||||
\(294\) | −12.0278 | − | 20.8328i | −0.701478 | − | 1.21499i | ||||
\(295\) | −5.11793 | − | 8.86451i | −0.297977 | − | 0.516112i | ||||
\(296\) | −11.5994 | −0.674202 | ||||||||
\(297\) | 44.8998 | 2.60535 | ||||||||
\(298\) | 2.24669 | + | 3.89138i | 0.130147 | + | 0.225422i | ||||
\(299\) | 6.31806 | − | 10.9432i | 0.365383 | − | 0.632861i | ||||
\(300\) | 0.886322 | + | 1.53515i | 0.0511718 | + | 0.0886322i | ||||
\(301\) | −3.04246 | + | 5.26969i | −0.175364 | + | 0.303740i | ||||
\(302\) | −5.66612 | + | 9.81401i | −0.326049 | + | 0.564733i | ||||
\(303\) | −2.95961 | −0.170025 | ||||||||
\(304\) | −0.796788 | − | 10.8598i | −0.0456989 | − | 0.622855i | ||||
\(305\) | −4.98199 | −0.285268 | ||||||||
\(306\) | 10.8663 | − | 18.8211i | 0.621187 | − | 1.07593i | ||||
\(307\) | −10.1709 | + | 17.6166i | −0.580485 | + | 1.00543i | 0.414936 | + | 0.909850i | \(0.363804\pi\) |
−0.995422 | + | 0.0955798i | \(0.969529\pi\) | |||||||
\(308\) | −0.794723 | − | 1.37650i | −0.0452835 | − | 0.0784334i | ||||
\(309\) | 5.09095 | − | 8.81779i | 0.289614 | − | 0.501626i | ||||
\(310\) | −3.70913 | − | 6.42441i | −0.210665 | − | 0.364882i | ||||
\(311\) | −7.67830 | −0.435397 | −0.217698 | − | 0.976016i | \(-0.569855\pi\) | ||||
−0.217698 | + | 0.976016i | \(0.569855\pi\) | |||||||
\(312\) | 41.5790 | 2.35395 | ||||||||
\(313\) | −11.9964 | − | 20.7783i | −0.678074 | − | 1.17446i | −0.975560 | − | 0.219733i | \(-0.929481\pi\) |
0.297486 | − | 0.954726i | \(-0.403852\pi\) | |||||||
\(314\) | −2.05815 | − | 3.56482i | −0.116148 | − | 0.201174i | ||||
\(315\) | −3.82882 | −0.215730 | ||||||||
\(316\) | −5.25781 | −0.295775 | ||||||||
\(317\) | −0.519518 | − | 0.899831i | −0.0291790 | − | 0.0505395i | 0.851067 | − | 0.525057i | \(-0.175956\pi\) |
−0.880246 | + | 0.474517i | \(0.842623\pi\) | |||||||
\(318\) | 15.3298 | − | 26.5520i | 0.859653 | − | 1.48896i | ||||
\(319\) | −2.50339 | − | 4.33600i | −0.140163 | − | 0.242769i | ||||
\(320\) | −4.38821 | + | 7.60059i | −0.245308 | + | 0.424886i | ||||
\(321\) | −14.4993 | + | 25.1135i | −0.809271 | + | 1.40170i | ||||
\(322\) | −2.06561 | −0.115112 | ||||||||
\(323\) | 0.926066 | + | 12.6218i | 0.0515277 | + | 0.702298i | ||||
\(324\) | −6.77641 | −0.376467 | ||||||||
\(325\) | −2.21900 | + | 3.84342i | −0.123088 | + | 0.213194i | ||||
\(326\) | 3.96146 | − | 6.86145i | 0.219405 | − | 0.380020i | ||||
\(327\) | −8.44610 | − | 14.6291i | −0.467070 | − | 0.808990i | ||||
\(328\) | 12.7653 | − | 22.1102i | 0.704846 | − | 1.22083i | ||||
\(329\) | −1.79250 | − | 3.10470i | −0.0988236 | − | 0.171167i | ||||
\(330\) | −16.2762 | −0.895978 | ||||||||
\(331\) | 30.8316 | 1.69466 | 0.847328 | − | 0.531069i | \(-0.178210\pi\) | ||||
0.847328 | + | 0.531069i | \(0.178210\pi\) | |||||||
\(332\) | −0.617157 | − | 1.06895i | −0.0338709 | − | 0.0586661i | ||||
\(333\) | 11.8560 | + | 20.5352i | 0.649705 | + | 1.12532i | ||||
\(334\) | 19.5970 | 1.07230 | ||||||||
\(335\) | 8.47616 | 0.463102 | ||||||||
\(336\) | −2.31858 | − | 4.01590i | −0.126489 | − | 0.219085i | ||||
\(337\) | −10.3576 | + | 17.9400i | −0.564217 | + | 0.977252i | 0.432906 | + | 0.901439i | \(0.357488\pi\) |
−0.997122 | + | 0.0758124i | \(0.975845\pi\) | |||||||
\(338\) | 3.98705 | + | 6.90577i | 0.216867 | + | 0.375625i | ||||
\(339\) | −2.34837 | + | 4.06749i | −0.127546 | + | 0.220916i | ||||
\(340\) | 0.844513 | − | 1.46274i | 0.0458002 | − | 0.0793282i | ||||
\(341\) | −27.9384 | −1.51295 | ||||||||
\(342\) | −26.9864 | + | 18.3374i | −1.45926 | + | 0.991572i | ||||
\(343\) | 8.30239 | 0.448287 | ||||||||
\(344\) | 15.3558 | − | 26.5970i | 0.827929 | − | 1.43402i | ||||
\(345\) | 4.33804 | − | 7.51370i | 0.233552 | − | 0.404524i | ||||
\(346\) | −13.5659 | − | 23.4968i | −0.729308 | − | 1.26320i | ||||
\(347\) | −4.11068 | + | 7.11991i | −0.220673 | + | 0.382217i | −0.955013 | − | 0.296566i | \(-0.904159\pi\) |
0.734340 | + | 0.678782i | \(0.237492\pi\) | |||||||
\(348\) | 0.989399 | + | 1.71369i | 0.0530373 | + | 0.0918634i | ||||
\(349\) | 11.9216 | 0.638150 | 0.319075 | − | 0.947730i | \(-0.396628\pi\) | ||||
0.319075 | + | 0.947730i | \(0.396628\pi\) | |||||||
\(350\) | 0.725473 | 0.0387782 | ||||||||
\(351\) | −22.2138 | − | 38.4754i | −1.18568 | − | 2.05366i | ||||
\(352\) | 7.11839 | + | 12.3294i | 0.379412 | + | 0.657160i | ||||
\(353\) | −11.7983 | −0.627959 | −0.313980 | − | 0.949430i | \(-0.601662\pi\) | ||||
−0.313980 | + | 0.949430i | \(0.601662\pi\) | |||||||
\(354\) | −37.1450 | −1.97423 | ||||||||
\(355\) | −5.80995 | − | 10.0631i | −0.308360 | − | 0.534095i | ||||
\(356\) | 2.30721 | − | 3.99620i | 0.122282 | − | 0.211798i | ||||
\(357\) | 2.69477 | + | 4.66747i | 0.142622 | + | 0.247029i | ||||
\(358\) | −1.38691 | + | 2.40220i | −0.0733005 | + | 0.126960i | ||||
\(359\) | −0.0554058 | + | 0.0959656i | −0.00292420 | + | 0.00506487i | −0.867484 | − | 0.497465i | \(-0.834264\pi\) |
0.864560 | + | 0.502530i | \(0.167597\pi\) | |||||||
\(360\) | 19.3247 | 1.01850 | ||||||||
\(361\) | 6.99666 | − | 17.6648i | 0.368245 | − | 0.929729i | ||||
\(362\) | 26.6040 | 1.39827 | ||||||||
\(363\) | −13.8901 | + | 24.0584i | −0.729042 | + | 1.26274i | ||||
\(364\) | −0.786364 | + | 1.36202i | −0.0412167 | + | 0.0713894i | ||||
\(365\) | −1.86162 | − | 3.22443i | −0.0974418 | − | 0.168774i | ||||
\(366\) | −9.03958 | + | 15.6570i | −0.472507 | + | 0.818405i | ||||
\(367\) | −5.86986 | − | 10.1669i | −0.306404 | − | 0.530708i | 0.671169 | − | 0.741305i | \(-0.265793\pi\) |
−0.977573 | + | 0.210597i | \(0.932459\pi\) | |||||||
\(368\) | 7.11278 | 0.370779 | ||||||||
\(369\) | −52.1908 | −2.71694 | ||||||||
\(370\) | −2.24644 | − | 3.89095i | −0.116787 | − | 0.202281i | ||||
\(371\) | 2.57338 | + | 4.45722i | 0.133603 | + | 0.231407i | ||||
\(372\) | 11.0419 | 0.572498 | ||||||||
\(373\) | 14.5190 | 0.751763 | 0.375882 | − | 0.926668i | \(-0.377340\pi\) | ||||
0.375882 | + | 0.926668i | \(0.377340\pi\) | |||||||
\(374\) | 7.75424 | + | 13.4307i | 0.400962 | + | 0.694487i | ||||
\(375\) | −1.52359 | + | 2.63893i | −0.0786776 | + | 0.136274i | ||||
\(376\) | 9.04704 | + | 15.6699i | 0.466566 | + | 0.808115i | ||||
\(377\) | −2.47706 | + | 4.29040i | −0.127575 | + | 0.220967i | ||||
\(378\) | −3.63125 | + | 6.28952i | −0.186772 | + | 0.323498i | ||||
\(379\) | −6.59023 | −0.338518 | −0.169259 | − | 0.985572i | \(-0.554137\pi\) | ||||
−0.169259 | + | 0.985572i | \(0.554137\pi\) | |||||||
\(380\) | −2.09734 | + | 1.42515i | −0.107591 | + | 0.0731087i | ||||
\(381\) | 7.02522 | 0.359913 | ||||||||
\(382\) | 1.33242 | − | 2.30782i | 0.0681727 | − | 0.118079i | ||||
\(383\) | 1.43461 | − | 2.48481i | 0.0733049 | − | 0.126968i | −0.827043 | − | 0.562139i | \(-0.809979\pi\) |
0.900348 | + | 0.435171i | \(0.143312\pi\) | |||||||
\(384\) | 6.25207 | + | 10.8289i | 0.319050 | + | 0.552610i | ||||
\(385\) | 1.36613 | − | 2.36620i | 0.0696243 | − | 0.120593i | ||||
\(386\) | −2.70519 | − | 4.68552i | −0.137690 | − | 0.238487i | ||||
\(387\) | −62.7819 | −3.19138 | ||||||||
\(388\) | 5.62686 | 0.285660 | ||||||||
\(389\) | 3.16575 | + | 5.48323i | 0.160510 | + | 0.278011i | 0.935052 | − | 0.354512i | \(-0.115353\pi\) |
−0.774542 | + | 0.632523i | \(0.782020\pi\) | |||||||
\(390\) | 8.05253 | + | 13.9474i | 0.407756 | + | 0.706254i | ||||
\(391\) | −8.26682 | −0.418071 | ||||||||
\(392\) | −20.3813 | −1.02941 | ||||||||
\(393\) | 19.6818 | + | 34.0899i | 0.992817 | + | 1.71961i | ||||
\(394\) | −11.4468 | + | 19.8264i | −0.576680 | + | 0.998840i | ||||
\(395\) | −4.51908 | − | 7.82728i | −0.227380 | − | 0.393833i | ||||
\(396\) | 8.19966 | − | 14.2022i | 0.412049 | − | 0.713689i | ||||
\(397\) | 15.2749 | − | 26.4569i | 0.766626 | − | 1.32784i | −0.172756 | − | 0.984965i | \(-0.555267\pi\) |
0.939382 | − | 0.342871i | \(-0.111399\pi\) | |||||||
\(398\) | 7.32522 | 0.367180 | ||||||||
\(399\) | −0.592065 | − | 8.06957i | −0.0296403 | − | 0.403984i | ||||
\(400\) | −2.49812 | −0.124906 | ||||||||
\(401\) | −15.1711 | + | 26.2771i | −0.757609 | + | 1.31222i | 0.186458 | + | 0.982463i | \(0.440299\pi\) |
−0.944067 | + | 0.329754i | \(0.893034\pi\) | |||||||
\(402\) | 15.3796 | − | 26.6382i | 0.767064 | − | 1.32859i | ||||
\(403\) | 13.8223 | + | 23.9409i | 0.688538 | + | 1.19258i | ||||
\(404\) | −0.282509 | + | 0.489320i | −0.0140553 | + | 0.0243446i | ||||
\(405\) | −5.82432 | − | 10.0880i | −0.289413 | − | 0.501277i | ||||
\(406\) | 0.809843 | 0.0401919 | ||||||||
\(407\) | −16.9209 | −0.838740 | ||||||||
\(408\) | −13.6009 | − | 23.5575i | −0.673347 | − | 1.16627i | ||||
\(409\) | 7.48628 | + | 12.9666i | 0.370173 | + | 0.641158i | 0.989592 | − | 0.143903i | \(-0.0459652\pi\) |
−0.619419 | + | 0.785060i | \(0.712632\pi\) | |||||||
\(410\) | 9.88894 | 0.488380 | ||||||||
\(411\) | −38.8013 | −1.91393 | ||||||||
\(412\) | −0.971912 | − | 1.68340i | −0.0478827 | − | 0.0829352i | ||||
\(413\) | 3.11772 | − | 5.40004i | 0.153413 | − | 0.265719i | ||||
\(414\) | −10.6561 | − | 18.4569i | −0.523718 | − | 0.907107i | ||||
\(415\) | 1.06089 | − | 1.83752i | 0.0520771 | − | 0.0902002i | ||||
\(416\) | 7.04353 | − | 12.1997i | 0.345337 | − | 0.598142i | ||||
\(417\) | 32.3264 | 1.58303 | ||||||||
\(418\) | −1.70368 | − | 23.2203i | −0.0833296 | − | 1.13574i | ||||
\(419\) | −6.17419 | −0.301629 | −0.150815 | − | 0.988562i | \(-0.548190\pi\) | ||||
−0.150815 | + | 0.988562i | \(0.548190\pi\) | |||||||
\(420\) | −0.539925 | + | 0.935178i | −0.0263457 | + | 0.0456320i | ||||
\(421\) | 13.7714 | − | 23.8528i | 0.671177 | − | 1.16251i | −0.306394 | − | 0.951905i | \(-0.599122\pi\) |
0.977571 | − | 0.210608i | \(-0.0675443\pi\) | |||||||
\(422\) | 7.55824 | + | 13.0913i | 0.367929 | + | 0.637272i | ||||
\(423\) | 18.4943 | − | 32.0331i | 0.899226 | − | 1.55750i | ||||
\(424\) | −12.9883 | − | 22.4963i | −0.630766 | − | 1.09252i | ||||
\(425\) | 2.90343 | 0.140837 | ||||||||
\(426\) | −42.1675 | −2.04302 | ||||||||
\(427\) | −1.51745 | − | 2.62830i | −0.0734347 | − | 0.127193i | ||||
\(428\) | 2.76805 | + | 4.79441i | 0.133799 | + | 0.231746i | ||||
\(429\) | 60.6544 | 2.92842 | ||||||||
\(430\) | 11.8957 | 0.573663 | ||||||||
\(431\) | 7.52941 | + | 13.0413i | 0.362679 | + | 0.628179i | 0.988401 | − | 0.151868i | \(-0.0485288\pi\) |
−0.625722 | + | 0.780046i | \(0.715195\pi\) | |||||||
\(432\) | 12.5040 | − | 21.6575i | 0.601598 | − | 1.04200i | ||||
\(433\) | 0.485420 | + | 0.840772i | 0.0233278 | + | 0.0404049i | 0.877454 | − | 0.479661i | \(-0.159241\pi\) |
−0.854126 | + | 0.520066i | \(0.825907\pi\) | |||||||
\(434\) | 2.25951 | − | 3.91359i | 0.108460 | − | 0.187858i | ||||
\(435\) | −1.70077 | + | 2.94583i | −0.0815459 | + | 0.141242i | ||||
\(436\) | −3.22488 | −0.154444 | ||||||||
\(437\) | 11.1734 | + | 5.40234i | 0.534497 | + | 0.258429i | ||||
\(438\) | −13.5113 | −0.645596 | ||||||||
\(439\) | 13.7187 | − | 23.7616i | 0.654760 | − | 1.13408i | −0.327194 | − | 0.944957i | \(-0.606103\pi\) |
0.981954 | − | 0.189120i | \(-0.0605636\pi\) | |||||||
\(440\) | −6.89507 | + | 11.9426i | −0.328710 | + | 0.569342i | ||||
\(441\) | 20.8322 | + | 36.0824i | 0.992008 | + | 1.71821i | ||||
\(442\) | 7.67269 | − | 13.2895i | 0.364952 | − | 0.632116i | ||||
\(443\) | 4.38272 | + | 7.59109i | 0.208229 | + | 0.360664i | 0.951157 | − | 0.308708i | \(-0.0998966\pi\) |
−0.742928 | + | 0.669372i | \(0.766563\pi\) | |||||||
\(444\) | 6.68755 | 0.317377 | ||||||||
\(445\) | 7.93217 | 0.376021 | ||||||||
\(446\) | 13.4201 | + | 23.2443i | 0.635461 | + | 1.10065i | ||||
\(447\) | −5.74859 | − | 9.95686i | −0.271899 | − | 0.470943i | ||||
\(448\) | −5.34637 | −0.252592 | ||||||||
\(449\) | −9.63397 | −0.454655 | −0.227327 | − | 0.973818i | \(-0.572999\pi\) | ||||
−0.227327 | + | 0.973818i | \(0.572999\pi\) | |||||||
\(450\) | 3.74258 | + | 6.48234i | 0.176427 | + | 0.305581i | ||||
\(451\) | 18.6217 | − | 32.2538i | 0.876862 | − | 1.51877i | ||||
\(452\) | 0.448326 | + | 0.776524i | 0.0210875 | + | 0.0365246i | ||||
\(453\) | 14.4979 | − | 25.1110i | 0.681169 | − | 1.17982i | ||||
\(454\) | 10.7851 | − | 18.6803i | 0.506169 | − | 0.876711i | ||||
\(455\) | −2.70352 | −0.126743 | ||||||||
\(456\) | 2.98825 | + | 40.7285i | 0.139938 | + | 1.90729i | ||||
\(457\) | −10.6708 | −0.499161 | −0.249580 | − | 0.968354i | \(-0.580293\pi\) | ||||
−0.249580 | + | 0.968354i | \(0.580293\pi\) | |||||||
\(458\) | −5.60683 | + | 9.71131i | −0.261990 | + | 0.453780i | ||||
\(459\) | −14.5327 | + | 25.1714i | −0.678330 | + | 1.17490i | ||||
\(460\) | −0.828173 | − | 1.43444i | −0.0386138 | − | 0.0668810i | ||||
\(461\) | −2.84340 | + | 4.92491i | −0.132430 | + | 0.229376i | −0.924613 | − | 0.380908i | \(-0.875611\pi\) |
0.792183 | + | 0.610284i | \(0.208945\pi\) | |||||||
\(462\) | −4.95754 | − | 8.58672i | −0.230646 | − | 0.399490i | ||||
\(463\) | 35.3550 | 1.64309 | 0.821543 | − | 0.570147i | \(-0.193114\pi\) | ||||
0.821543 | + | 0.570147i | \(0.193114\pi\) | |||||||
\(464\) | −2.78864 | −0.129459 | ||||||||
\(465\) | 9.49053 | + | 16.4381i | 0.440113 | + | 0.762298i | ||||
\(466\) | 9.34864 | + | 16.1923i | 0.433067 | + | 0.750095i | ||||
\(467\) | −32.9071 | −1.52276 | −0.761380 | − | 0.648306i | \(-0.775478\pi\) | ||||
−0.761380 | + | 0.648306i | \(0.775478\pi\) | |||||||
\(468\) | −16.2269 | −0.750086 | ||||||||
\(469\) | 2.58173 | + | 4.47169i | 0.119213 | + | 0.206484i | ||||
\(470\) | −3.50425 | + | 6.06954i | −0.161639 | + | 0.279967i | ||||
\(471\) | 5.26617 | + | 9.12127i | 0.242652 | + | 0.420286i | ||||
\(472\) | −15.7356 | + | 27.2549i | −0.724292 | + | 1.25451i | ||||
\(473\) | 22.4006 | − | 38.7991i | 1.02998 | − | 1.78398i | ||||
\(474\) | −32.7986 | −1.50649 | ||||||||
\(475\) | −3.92428 | − | 1.89738i | −0.180058 | − | 0.0870579i | ||||
\(476\) | 1.02891 | 0.0471602 | ||||||||
\(477\) | −26.5512 | + | 45.9880i | −1.21569 | + | 2.10564i | ||||
\(478\) | −13.9700 | + | 24.1967i | −0.638971 | + | 1.10673i | ||||
\(479\) | 4.52861 | + | 7.84378i | 0.206917 | + | 0.358391i | 0.950742 | − | 0.309984i | \(-0.100324\pi\) |
−0.743825 | + | 0.668375i | \(0.766990\pi\) | |||||||
\(480\) | 4.83615 | − | 8.37647i | 0.220739 | − | 0.382332i | ||||
\(481\) | 8.37149 | + | 14.4998i | 0.381707 | + | 0.661136i | ||||
\(482\) | −15.6835 | −0.714366 | ||||||||
\(483\) | 5.28525 | 0.240487 | ||||||||
\(484\) | 2.65175 | + | 4.59297i | 0.120534 | + | 0.208772i | ||||
\(485\) | 4.83628 | + | 8.37668i | 0.219604 | + | 0.380365i | ||||
\(486\) | −6.50619 | −0.295127 | ||||||||
\(487\) | −16.5206 | −0.748620 | −0.374310 | − | 0.927304i | \(-0.622120\pi\) | ||||
−0.374310 | + | 0.927304i | \(0.622120\pi\) | |||||||
\(488\) | 7.65884 | + | 13.2655i | 0.346700 | + | 0.600501i | ||||
\(489\) | −10.1362 | + | 17.5563i | −0.458373 | + | 0.793925i | ||||
\(490\) | −3.94721 | − | 6.83677i | −0.178317 | − | 0.308854i | ||||
\(491\) | 0.695625 | − | 1.20486i | 0.0313931 | − | 0.0543745i | −0.849902 | − | 0.526941i | \(-0.823339\pi\) |
0.881295 | + | 0.472566i | \(0.156672\pi\) | |||||||
\(492\) | −7.35974 | + | 12.7474i | −0.331803 | + | 0.574699i | ||||
\(493\) | 3.24109 | 0.145972 | ||||||||
\(494\) | −19.0550 | + | 12.9480i | −0.857326 | + | 0.582557i | ||||
\(495\) | 28.1904 | 1.26706 | ||||||||
\(496\) | −7.78048 | + | 13.4762i | −0.349354 | + | 0.605099i | ||||
\(497\) | 3.53928 | − | 6.13021i | 0.158758 | − | 0.274977i | ||||
\(498\) | −3.84988 | − | 6.66818i | −0.172517 | − | 0.298808i | ||||
\(499\) | 8.33255 | − | 14.4324i | 0.373016 | − | 0.646083i | −0.617012 | − | 0.786954i | \(-0.711657\pi\) |
0.990028 | + | 0.140871i | \(0.0449902\pi\) | |||||||
\(500\) | 0.290867 | + | 0.503797i | 0.0130080 | + | 0.0225305i | ||||
\(501\) | −50.1427 | −2.24021 | ||||||||
\(502\) | 20.6327 | 0.920881 | ||||||||
\(503\) | −7.81956 | − | 13.5439i | −0.348657 | − | 0.603892i | 0.637354 | − | 0.770571i | \(-0.280029\pi\) |
−0.986011 | + | 0.166679i | \(0.946696\pi\) | |||||||
\(504\) | 5.88607 | + | 10.1950i | 0.262186 | + | 0.454120i | ||||
\(505\) | −0.971265 | −0.0432207 | ||||||||
\(506\) | 15.2084 | 0.676096 | ||||||||
\(507\) | −10.2016 | − | 17.6697i | −0.453070 | − | 0.784741i | ||||
\(508\) | 0.670591 | − | 1.16150i | 0.0297526 | − | 0.0515331i | ||||
\(509\) | 9.57702 | + | 16.5879i | 0.424494 | + | 0.735245i | 0.996373 | − | 0.0850929i | \(-0.0271187\pi\) |
−0.571879 | + | 0.820338i | \(0.693785\pi\) | |||||||
\(510\) | 5.26814 | − | 9.12469i | 0.233277 | − | 0.404048i | ||||
\(511\) | 1.13406 | − | 1.96424i | 0.0501677 | − | 0.0868929i | ||||
\(512\) | 23.2910 | 1.02933 | ||||||||
\(513\) | 36.0919 | − | 24.5246i | 1.59349 | − | 1.08279i | ||||
\(514\) | 6.76389 | 0.298342 | ||||||||
\(515\) | 1.67071 | − | 2.89376i | 0.0736205 | − | 0.127514i | ||||
\(516\) | −8.85327 | + | 15.3343i | −0.389743 | + | 0.675055i | ||||
\(517\) | 13.1976 | + | 22.8589i | 0.580430 | + | 1.00533i | ||||
\(518\) | 1.36848 | − | 2.37027i | 0.0601273 | − | 0.104144i | ||||
\(519\) | 34.7110 | + | 60.1212i | 1.52364 | + | 2.63903i | ||||
\(520\) | 13.6451 | 0.598378 | ||||||||
\(521\) | −19.2394 | −0.842892 | −0.421446 | − | 0.906853i | \(-0.638477\pi\) | ||||
−0.421446 | + | 0.906853i | \(0.638477\pi\) | |||||||
\(522\) | 4.17784 | + | 7.23622i | 0.182859 | + | 0.316721i | ||||
\(523\) | −3.31973 | − | 5.74993i | −0.145161 | − | 0.251427i | 0.784272 | − | 0.620418i | \(-0.213037\pi\) |
−0.929433 | + | 0.368990i | \(0.879704\pi\) | |||||||
\(524\) | 7.51490 | 0.328290 | ||||||||
\(525\) | −1.85626 | −0.0810139 | ||||||||
\(526\) | 3.36887 | + | 5.83505i | 0.146890 | + | 0.254420i | ||||
\(527\) | 9.04285 | − | 15.6627i | 0.393913 | − | 0.682277i | ||||
\(528\) | 17.0710 | + | 29.5678i | 0.742919 | + | 1.28677i | ||||
\(529\) | 7.44657 | − | 12.8978i | 0.323764 | − | 0.560775i | ||||
\(530\) | 5.03083 | − | 8.71366i | 0.218525 | − | 0.378497i | ||||
\(531\) | 64.3349 | 2.79190 | ||||||||
\(532\) | −1.39068 | − | 0.672391i | −0.0602935 | − | 0.0291519i | ||||
\(533\) | −36.8517 | −1.59623 | ||||||||
\(534\) | 14.3925 | − | 24.9286i | 0.622826 | − | 1.07877i | ||||
\(535\) | −4.75828 | + | 8.24158i | −0.205718 | + | 0.356314i | ||||
\(536\) | −13.0305 | − | 22.5694i | −0.562830 | − | 0.974850i | ||||
\(537\) | 3.54868 | − | 6.14649i | 0.153137 | − | 0.265241i | ||||
\(538\) | −14.2860 | − | 24.7441i | −0.615914 | − | 1.06679i | ||||
\(539\) | −29.7317 | −1.28064 | ||||||||
\(540\) | −5.82358 | −0.250607 | ||||||||
\(541\) | −20.8756 | − | 36.1575i | −0.897510 | − | 1.55453i | −0.830667 | − | 0.556770i | \(-0.812040\pi\) |
−0.0668435 | − | 0.997763i | \(-0.521293\pi\) | |||||||
\(542\) | −12.6829 | − | 21.9674i | −0.544777 | − | 0.943581i | ||||
\(543\) | −68.0714 | −2.92122 | ||||||||
\(544\) | −9.21606 | −0.395135 | ||||||||
\(545\) | −2.77178 | − | 4.80087i | −0.118730 | − | 0.205647i | ||||
\(546\) | −4.90540 | + | 8.49641i | −0.209932 | + | 0.363613i | ||||
\(547\) | −6.10258 | − | 10.5700i | −0.260927 | − | 0.451939i | 0.705561 | − | 0.708649i | \(-0.250695\pi\) |
−0.966489 | + | 0.256710i | \(0.917362\pi\) | |||||||
\(548\) | −3.70377 | + | 6.41512i | −0.158217 | + | 0.274040i | ||||
\(549\) | 15.6565 | − | 27.1179i | 0.668204 | − | 1.15736i | ||||
\(550\) | −5.34143 | −0.227759 | ||||||||
\(551\) | −4.38066 | − | 2.11804i | −0.186622 | − | 0.0902317i | ||||
\(552\) | −26.6756 | −1.13539 | ||||||||
\(553\) | 2.75291 | − | 4.76819i | 0.117066 | − | 0.202764i | ||||
\(554\) | −0.488934 | + | 0.846858i | −0.0207728 | + | 0.0359795i | ||||
\(555\) | 5.74795 | + | 9.95573i | 0.243987 | + | 0.422597i | ||||
\(556\) | 3.08571 | − | 5.34461i | 0.130863 | − | 0.226662i | ||||
\(557\) | −17.5774 | − | 30.4450i | −0.744779 | − | 1.28999i | −0.950298 | − | 0.311342i | \(-0.899222\pi\) |
0.205519 | − | 0.978653i | \(-0.434112\pi\) | |||||||
\(558\) | 46.6257 | 1.97382 | ||||||||
\(559\) | −44.3301 | −1.87496 | ||||||||
\(560\) | −0.760896 | − | 1.31791i | −0.0321537 | − | 0.0556919i | ||||
\(561\) | −19.8407 | − | 34.3651i | −0.837675 | − | 1.45090i | ||||
\(562\) | 0.699634 | 0.0295123 | ||||||||
\(563\) | 17.8406 | 0.751891 | 0.375945 | − | 0.926642i | \(-0.377318\pi\) | ||||
0.375945 | + | 0.926642i | \(0.377318\pi\) | |||||||
\(564\) | −5.21600 | − | 9.03438i | −0.219633 | − | 0.380416i | ||||
\(565\) | −0.770672 | + | 1.33484i | −0.0324224 | + | 0.0561572i | ||||
\(566\) | 18.4248 | + | 31.9127i | 0.774452 | + | 1.34139i | ||||
\(567\) | 3.54803 | − | 6.14537i | 0.149003 | − | 0.258081i | ||||
\(568\) | −17.8633 | + | 30.9402i | −0.749529 | + | 1.29822i | ||||
\(569\) | 31.6042 | 1.32492 | 0.662459 | − | 0.749098i | \(-0.269513\pi\) | ||||
0.662459 | + | 0.749098i | \(0.269513\pi\) | |||||||
\(570\) | −13.0834 | + | 8.89020i | −0.548002 | + | 0.372370i | ||||
\(571\) | −4.73053 | −0.197967 | −0.0989833 | − | 0.995089i | \(-0.531559\pi\) | ||||
−0.0989833 | + | 0.995089i | \(0.531559\pi\) | |||||||
\(572\) | 5.78975 | − | 10.0281i | 0.242082 | − | 0.419298i | ||||
\(573\) | −3.40926 | + | 5.90501i | −0.142424 | + | 0.246685i | ||||
\(574\) | 3.01205 | + | 5.21702i | 0.125721 | + | 0.217754i | ||||
\(575\) | 1.42363 | − | 2.46580i | 0.0593694 | − | 0.102831i | ||||
\(576\) | −27.5810 | − | 47.7717i | −1.14921 | − | 1.99049i | ||||
\(577\) | 24.4074 | 1.01609 | 0.508047 | − | 0.861330i | \(-0.330368\pi\) | ||||
0.508047 | + | 0.861330i | \(0.330368\pi\) | |||||||
\(578\) | 10.2062 | 0.424522 | ||||||||
\(579\) | 6.92174 | + | 11.9888i | 0.287658 | + | 0.498238i | ||||
\(580\) | 0.324694 | + | 0.562387i | 0.0134822 | + | 0.0233518i | ||||
\(581\) | 1.29254 | 0.0536235 | ||||||||
\(582\) | 35.1008 | 1.45497 | ||||||||
\(583\) | −18.9470 | − | 32.8171i | −0.784703 | − | 1.35915i | ||||
\(584\) | −5.72377 | + | 9.91386i | −0.236851 | + | 0.410239i | ||||
\(585\) | −13.9470 | − | 24.1568i | −0.576636 | − | 0.998763i | ||||
\(586\) | 2.24052 | − | 3.88070i | 0.0925551 | − | 0.160310i | ||||
\(587\) | 14.3077 | − | 24.7817i | 0.590543 | − | 1.02285i | −0.403616 | − | 0.914928i | \(-0.632247\pi\) |
0.994159 | − | 0.107922i | \(-0.0344197\pi\) | |||||||
\(588\) | 11.7507 | 0.484590 | ||||||||
\(589\) | −22.4578 | + | 15.2602i | −0.925358 | + | 0.628785i | ||||
\(590\) | −12.1900 | −0.501853 | ||||||||
\(591\) | 29.2888 | − | 50.7297i | 1.20478 | − | 2.08674i | ||||
\(592\) | −4.71225 | + | 8.16186i | −0.193672 | + | 0.335450i | ||||
\(593\) | −1.85756 | − | 3.21738i | −0.0762807 | − | 0.132122i | 0.825362 | − | 0.564604i | \(-0.190971\pi\) |
−0.901642 | + | 0.432482i | \(0.857638\pi\) | |||||||
\(594\) | 26.7358 | − | 46.3077i | 1.09698 | − | 1.90003i | ||||
\(595\) | 0.884350 | + | 1.53174i | 0.0362548 | + | 0.0627952i | ||||
\(596\) | −2.19492 | −0.0899076 | ||||||||
\(597\) | −18.7430 | −0.767099 | ||||||||
\(598\) | −7.52423 | − | 13.0324i | −0.307689 | − | 0.532933i | ||||
\(599\) | −3.54970 | − | 6.14826i | −0.145037 | − | 0.251211i | 0.784350 | − | 0.620319i | \(-0.212997\pi\) |
−0.929387 | + | 0.369108i | \(0.879663\pi\) | |||||||
\(600\) | 9.36887 | 0.382482 | ||||||||
\(601\) | −11.0596 | −0.451131 | −0.225566 | − | 0.974228i | \(-0.572423\pi\) | ||||
−0.225566 | + | 0.974228i | \(0.572423\pi\) | |||||||
\(602\) | 3.62329 | + | 6.27572i | 0.147674 | + | 0.255779i | ||||
\(603\) | −26.6374 | + | 46.1373i | −1.08476 | + | 1.87886i | ||||
\(604\) | −2.76778 | − | 4.79394i | −0.112619 | − | 0.195063i | ||||
\(605\) | −4.55836 | + | 7.89531i | −0.185324 | + | 0.320990i | ||||
\(606\) | −1.76231 | + | 3.05242i | −0.0715891 | + | 0.123996i | ||||
\(607\) | 27.1193 | 1.10074 | 0.550369 | − | 0.834921i | \(-0.314487\pi\) | ||||
0.550369 | + | 0.834921i | \(0.314487\pi\) | |||||||
\(608\) | 12.4564 | + | 6.02266i | 0.505174 | + | 0.244251i | ||||
\(609\) | −2.07214 | −0.0839673 | ||||||||
\(610\) | −2.96655 | + | 5.13821i | −0.120112 | + | 0.208040i | ||||
\(611\) | 13.0588 | − | 22.6185i | 0.528302 | − | 0.915046i | ||||
\(612\) | 5.30798 | + | 9.19369i | 0.214562 | + | 0.371633i | ||||
\(613\) | −20.9156 | + | 36.2268i | −0.844772 | + | 1.46319i | 0.0410468 | + | 0.999157i | \(0.486931\pi\) |
−0.885819 | + | 0.464031i | \(0.846403\pi\) | |||||||
\(614\) | 12.1127 | + | 20.9797i | 0.488827 | + | 0.846673i | ||||
\(615\) | −25.3028 | −1.02031 | ||||||||
\(616\) | −8.40062 | −0.338471 | ||||||||
\(617\) | 8.85262 | + | 15.3332i | 0.356393 | + | 0.617291i | 0.987355 | − | 0.158523i | \(-0.0506731\pi\) |
−0.630962 | + | 0.775813i | \(0.717340\pi\) | |||||||
\(618\) | −6.06286 | − | 10.5012i | −0.243884 | − | 0.422420i | ||||
\(619\) | −39.8064 | −1.59995 | −0.799976 | − | 0.600032i | \(-0.795155\pi\) | ||||
−0.799976 | + | 0.600032i | \(0.795155\pi\) | |||||||
\(620\) | 3.62367 | 0.145530 | ||||||||
\(621\) | 14.2515 | + | 24.6844i | 0.571895 | + | 0.990551i | ||||
\(622\) | −4.57208 | + | 7.91908i | −0.183324 | + | 0.317526i | ||||
\(623\) | 2.41604 | + | 4.18471i | 0.0967966 | + | 0.167657i | ||||
\(624\) | 16.8914 | − | 29.2568i | 0.676198 | − | 1.17121i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −28.5732 | −1.14201 | ||||||||
\(627\) | 4.35919 | + | 59.4137i | 0.174089 | + | 2.37275i | ||||
\(628\) | 2.01072 | 0.0802366 | ||||||||
\(629\) | 5.47681 | − | 9.48611i | 0.218375 | − | 0.378236i | ||||
\(630\) | −2.27989 | + | 3.94888i | −0.0908330 | + | 0.157327i | ||||
\(631\) | −23.0990 | − | 40.0087i | −0.919557 | − | 1.59272i | −0.800088 | − | 0.599882i | \(-0.795214\pi\) |
−0.119469 | − | 0.992838i | \(-0.538119\pi\) | |||||||
\(632\) | −13.8944 | + | 24.0659i | −0.552691 | + | 0.957288i | ||||
\(633\) | −19.3392 | − | 33.4965i | −0.768664 | − | 1.33137i | ||||
\(634\) | −1.23740 | −0.0491433 | ||||||||
\(635\) | 2.30549 | 0.0914905 | ||||||||
\(636\) | 7.48829 | + | 12.9701i | 0.296930 | + | 0.514298i | ||||
\(637\) | 14.7095 | + | 25.4776i | 0.582813 | + | 1.00946i | ||||
\(638\) | −5.96262 | −0.236062 | ||||||||
\(639\) | 73.0340 | 2.88918 | ||||||||
\(640\) | 2.05176 | + | 3.55376i | 0.0811030 | + | 0.140475i | ||||
\(641\) | −3.30674 | + | 5.72744i | −0.130608 | + | 0.226220i | −0.923911 | − | 0.382607i | \(-0.875026\pi\) |
0.793303 | + | 0.608827i | \(0.208360\pi\) | |||||||
\(642\) | 17.2673 | + | 29.9079i | 0.681487 | + | 1.18037i | ||||
\(643\) | 15.3076 | − | 26.5135i | 0.603673 | − | 1.04559i | −0.388587 | − | 0.921412i | \(-0.627037\pi\) |
0.992260 | − | 0.124180i | \(-0.0396300\pi\) | |||||||
\(644\) | 0.504503 | − | 0.873824i | 0.0198802 | − | 0.0344335i | ||||
\(645\) | −30.4375 | −1.19847 | ||||||||
\(646\) | 13.5691 | + | 6.56063i | 0.533868 | + | 0.258125i | ||||
\(647\) | −11.8979 | −0.467753 | −0.233877 | − | 0.972266i | \(-0.575141\pi\) | ||||
−0.233877 | + | 0.972266i | \(0.575141\pi\) | |||||||
\(648\) | −17.9075 | + | 31.0167i | −0.703474 | + | 1.21845i | ||||
\(649\) | −22.9548 | + | 39.7588i | −0.901053 | + | 1.56067i | ||||
\(650\) | 2.64263 | + | 4.57716i | 0.103652 | + | 0.179531i | ||||
\(651\) | −5.78140 | + | 10.0137i | −0.226591 | + | 0.392467i | ||||
\(652\) | 1.93509 | + | 3.35167i | 0.0757839 | + | 0.131262i | ||||
\(653\) | −1.42899 | −0.0559207 | −0.0279604 | − | 0.999609i | \(-0.508901\pi\) | ||||
−0.0279604 | + | 0.999609i | \(0.508901\pi\) | |||||||
\(654\) | −20.1171 | −0.786640 | ||||||||
\(655\) | 6.45905 | + | 11.1874i | 0.252376 | + | 0.437128i | ||||
\(656\) | −10.3718 | − | 17.9645i | −0.404950 | − | 0.701395i | ||||
\(657\) | 23.4015 | 0.912981 | ||||||||
\(658\) | −4.26941 | −0.166439 | ||||||||
\(659\) | 12.2485 | + | 21.2150i | 0.477134 | + | 0.826420i | 0.999657 | − | 0.0262051i | \(-0.00834231\pi\) |
−0.522523 | + | 0.852625i | \(0.675009\pi\) | |||||||
\(660\) | 3.97530 | − | 6.88542i | 0.154738 | − | 0.268015i | ||||
\(661\) | 1.61303 | + | 2.79385i | 0.0627396 | + | 0.108668i | 0.895689 | − | 0.444681i | \(-0.146683\pi\) |
−0.832949 | + | 0.553349i | \(0.813350\pi\) | |||||||
\(662\) | 18.3588 | − | 31.7984i | 0.713535 | − | 1.23588i | ||||
\(663\) | −19.6320 | + | 34.0037i | −0.762445 | + | 1.32059i | ||||
\(664\) | −6.52366 | −0.253167 | ||||||||
\(665\) | −0.194300 | − | 2.64822i | −0.00753462 | − | 0.102693i | ||||
\(666\) | 28.2389 | 1.09423 | ||||||||
\(667\) | 1.58919 | − | 2.75256i | 0.0615338 | − | 0.106580i | ||||
\(668\) | −4.78636 | + | 8.29023i | −0.185190 | + | 0.320758i | ||||
\(669\) | −34.3379 | − | 59.4750i | −1.32758 | − | 2.29944i | ||||
\(670\) | 5.04717 | − | 8.74196i | 0.194989 | − | 0.337731i | ||||
\(671\) | 11.1725 | + | 19.3514i | 0.431311 | + | 0.747052i | ||||
\(672\) | 5.89213 | 0.227294 | ||||||||
\(673\) | 37.1424 | 1.43173 | 0.715866 | − | 0.698237i | \(-0.246032\pi\) | ||||
0.715866 | + | 0.698237i | \(0.246032\pi\) | |||||||
\(674\) | 12.3350 | + | 21.3649i | 0.475127 | + | 0.822944i | ||||
\(675\) | −5.00536 | − | 8.66954i | −0.192656 | − | 0.333691i | ||||
\(676\) | −3.89518 | −0.149815 | ||||||||
\(677\) | −24.7550 | −0.951412 | −0.475706 | − | 0.879604i | \(-0.657807\pi\) | ||||
−0.475706 | + | 0.879604i | \(0.657807\pi\) | |||||||
\(678\) | 2.79669 | + | 4.84402i | 0.107406 | + | 0.186033i | ||||
\(679\) | −2.94614 | + | 5.10287i | −0.113063 | + | 0.195830i | ||||
\(680\) | −4.46346 | − | 7.73095i | −0.171166 | − | 0.296468i | ||||
\(681\) | −27.5957 | + | 47.7972i | −1.05747 | + | 1.83159i | ||||
\(682\) | −16.6361 | + | 28.8145i | −0.637028 | + | 1.10337i | ||||
\(683\) | 40.1153 | 1.53497 | 0.767484 | − | 0.641068i | \(-0.221508\pi\) | ||||
0.767484 | + | 0.641068i | \(0.221508\pi\) | |||||||
\(684\) | −1.16621 | − | 15.8949i | −0.0445912 | − | 0.607757i | ||||
\(685\) | −12.7335 | −0.486524 | ||||||||
\(686\) | 4.94370 | − | 8.56274i | 0.188751 | − | 0.326927i | ||||
\(687\) | 14.3461 | − | 24.8482i | 0.547340 | − | 0.948020i | ||||
\(688\) | −12.4766 | − | 21.6100i | −0.475664 | − | 0.823875i | ||||
\(689\) | −18.7477 | + | 32.4720i | −0.714230 | + | 1.23708i | ||||
\(690\) | −5.16621 | − | 8.94814i | −0.196674 | − | 0.340650i | ||||
\(691\) | 39.4963 | 1.50251 | 0.751254 | − | 0.660013i | \(-0.229449\pi\) | ||||
0.751254 | + | 0.660013i | \(0.229449\pi\) | |||||||
\(692\) | 13.2533 | 0.503816 | ||||||||
\(693\) | 8.58645 | + | 14.8722i | 0.326172 | + | 0.564947i | ||||
\(694\) | 4.89545 | + | 8.47917i | 0.185829 | + | 0.321865i | ||||
\(695\) | 10.6087 | 0.402410 | ||||||||
\(696\) | 10.4584 | 0.396426 | ||||||||
\(697\) | 12.0546 | + | 20.8792i | 0.456600 | + | 0.790855i | ||||
\(698\) | 7.09879 | − | 12.2955i | 0.268693 | − | 0.465390i | ||||
\(699\) | −23.9203 | − | 41.4312i | −0.904748 | − | 1.56707i | ||||
\(700\) | −0.177189 | + | 0.306901i | −0.00669712 | + | 0.0115997i | ||||
\(701\) | −0.0109776 | + | 0.0190137i | −0.000414618 | + | 0.000718139i | −0.866233 | − | 0.499641i | \(-0.833465\pi\) |
0.865818 | + | 0.500359i | \(0.166799\pi\) | |||||||
\(702\) | −52.9092 | −1.99693 | ||||||||
\(703\) | −13.6016 | + | 9.24234i | −0.512994 | + | 0.348581i | ||||
\(704\) | 39.3637 | 1.48357 | ||||||||
\(705\) | 8.96630 | − | 15.5301i | 0.337690 | − | 0.584897i | ||||
\(706\) | −7.02535 | + | 12.1683i | −0.264402 | + | 0.457958i | ||||
\(707\) | −0.295835 | − | 0.512402i | −0.0111260 | − | 0.0192708i | ||||
\(708\) | 9.07226 | − | 15.7136i | 0.340957 | − | 0.590554i | ||||
\(709\) | 8.90087 | + | 15.4168i | 0.334279 | + | 0.578989i | 0.983346 | − | 0.181743i | \(-0.0581738\pi\) |
−0.649067 | + | 0.760731i | \(0.724840\pi\) | |||||||
\(710\) | −13.8383 | −0.519340 | ||||||||
\(711\) | 56.8071 | 2.13043 | ||||||||
\(712\) | −12.1942 | − | 21.1209i | −0.456996 | − | 0.791540i | ||||
\(713\) | −8.86789 | − | 15.3596i | −0.332105 | − | 0.575223i | ||||
\(714\) | 6.41844 | 0.240204 | ||||||||
\(715\) | 19.9052 | 0.744410 | ||||||||
\(716\) | −0.677477 | − | 1.17342i | −0.0253185 | − | 0.0438529i | ||||
\(717\) | 35.7448 | − | 61.9118i | 1.33491 | − | 2.31214i | ||||
\(718\) | 0.0659833 | + | 0.114286i | 0.00246247 | + | 0.00426513i | ||||
\(719\) | −9.40515 | + | 16.2902i | −0.350753 | + | 0.607522i | −0.986382 | − | 0.164473i | \(-0.947408\pi\) |
0.635629 | + | 0.771995i | \(0.280741\pi\) | |||||||
\(720\) | 7.85065 | − | 13.5977i | 0.292576 | − | 0.506757i | ||||
\(721\) | 2.03552 | 0.0758066 | ||||||||
\(722\) | −14.0526 | − | 17.7347i | −0.522983 | − | 0.660016i | ||||
\(723\) | 40.1294 | 1.49243 | ||||||||
\(724\) | −6.49774 | + | 11.2544i | −0.241487 | + | 0.418267i | ||||
\(725\) | −0.558149 | + | 0.966742i | −0.0207291 | + | 0.0359039i | ||||
\(726\) | 16.5419 | + | 28.6513i | 0.613926 | + | 1.06335i | ||||
\(727\) | −2.50151 | + | 4.33274i | −0.0927758 | + | 0.160692i | −0.908678 | − | 0.417497i | \(-0.862907\pi\) |
0.815902 | + | 0.578190i | \(0.196241\pi\) | |||||||
\(728\) | 4.15613 | + | 7.19864i | 0.154037 | + | 0.266799i | ||||
\(729\) | −18.2986 | −0.677725 | ||||||||
\(730\) | −4.43405 | −0.164112 | ||||||||
\(731\) | 14.5009 | + | 25.1162i | 0.536334 | + | 0.928957i | ||||
\(732\) | −4.41565 | − | 7.64812i | −0.163207 | − | 0.282683i | ||||
\(733\) | −23.5259 | −0.868950 | −0.434475 | − | 0.900684i | \(-0.643066\pi\) | ||||
−0.434475 | + | 0.900684i | \(0.643066\pi\) | |||||||
\(734\) | −13.9809 | −0.516046 | ||||||||
\(735\) | 10.0997 | + | 17.4932i | 0.372533 | + | 0.645246i | ||||
\(736\) | −4.51887 | + | 7.82691i | −0.166568 | + | 0.288504i | ||||
\(737\) | −19.0085 | − | 32.9237i | −0.700187 | − | 1.21276i | ||||
\(738\) | −31.0772 | + | 53.8274i | −1.14397 | + | 1.98141i | ||||
\(739\) | 18.6918 | − | 32.3752i | 0.687590 | − | 1.19094i | −0.285026 | − | 0.958520i | \(-0.592002\pi\) |
0.972615 | − | 0.232421i | \(-0.0746646\pi\) | |||||||
\(740\) | 2.19468 | 0.0806779 | ||||||||
\(741\) | 48.7559 | − | 33.1299i | 1.79109 | − | 1.21706i | ||||
\(742\) | 6.12932 | 0.225014 | ||||||||
\(743\) | −5.19430 | + | 8.99679i | −0.190560 | + | 0.330060i | −0.945436 | − | 0.325808i | \(-0.894364\pi\) |
0.754876 | + | 0.655868i | \(0.227697\pi\) | |||||||
\(744\) | 29.1797 | − | 50.5407i | 1.06978 | − | 1.85291i | ||||
\(745\) | −1.88653 | − | 3.26757i | −0.0691173 | − | 0.119715i | ||||
\(746\) | 8.64539 | − | 14.9742i | 0.316530 | − | 0.548246i | ||||
\(747\) | 6.66797 | + | 11.5493i | 0.243968 | + | 0.422566i | ||||
\(748\) | −7.57556 | −0.276990 | ||||||||
\(749\) | −5.79725 | −0.211827 | ||||||||
\(750\) | 1.81445 | + | 3.14272i | 0.0662544 | + | 0.114756i | ||||
\(751\) | 15.6413 | + | 27.0915i | 0.570758 | + | 0.988581i | 0.996488 | + | 0.0837314i | \(0.0266838\pi\) |
−0.425731 | + | 0.904850i | \(0.639983\pi\) | |||||||
\(752\) | 14.7014 | 0.536105 | ||||||||
\(753\) | −52.7927 | −1.92387 | ||||||||
\(754\) | 2.94996 | + | 5.10947i | 0.107431 | + | 0.186076i | ||||
\(755\) | 4.75781 | − | 8.24077i | 0.173154 | − | 0.299912i | ||||
\(756\) | −1.77379 | − | 3.07230i | −0.0645122 | − | 0.111738i | ||||
\(757\) | 6.31205 | − | 10.9328i | 0.229415 | − | 0.397359i | −0.728220 | − | 0.685344i | \(-0.759652\pi\) |
0.957635 | + | 0.287985i | \(0.0929853\pi\) | |||||||
\(758\) | −3.92419 | + | 6.79689i | −0.142533 | + | 0.246874i | ||||
\(759\) | −38.9137 | −1.41248 | ||||||||
\(760\) | 0.980664 | + | 13.3660i | 0.0355724 | + | 0.484836i | ||||
\(761\) | 11.5495 | 0.418668 | 0.209334 | − | 0.977844i | \(-0.432870\pi\) | ||||
0.209334 | + | 0.977844i | \(0.432870\pi\) | |||||||
\(762\) | 4.18320 | − | 7.24551i | 0.151541 | − | 0.262477i | ||||
\(763\) | 1.68850 | − | 2.92457i | 0.0611279 | − | 0.105877i | ||||
\(764\) | 0.650861 | + | 1.12732i | 0.0235473 | + | 0.0407851i | ||||
\(765\) | −9.12440 | + | 15.8039i | −0.329893 | + | 0.571392i | ||||
\(766\) | −1.70849 | − | 2.95918i | −0.0617301 | − | 0.106920i | ||||
\(767\) | 45.4267 | 1.64026 | ||||||||
\(768\) | −38.5951 | −1.39268 | ||||||||
\(769\) | 13.4603 | + | 23.3140i | 0.485392 | + | 0.840724i | 0.999859 | − | 0.0167864i | \(-0.00534353\pi\) |
−0.514467 | + | 0.857510i | \(0.672010\pi\) | |||||||
\(770\) | −1.62693 | − | 2.81793i | −0.0586306 | − | 0.101551i | ||||
\(771\) | −17.3067 | −0.623286 | ||||||||
\(772\) | 2.64286 | 0.0951184 | ||||||||
\(773\) | −10.6666 | − | 18.4750i | −0.383649 | − | 0.664500i | 0.607932 | − | 0.793989i | \(-0.291999\pi\) |
−0.991581 | + | 0.129489i | \(0.958666\pi\) | |||||||
\(774\) | −37.3838 | + | 64.7506i | −1.34373 | + | 2.32741i | ||||
\(775\) | 3.11454 | + | 5.39454i | 0.111877 | + | 0.193778i | ||||
\(776\) | 14.8697 | − | 25.7550i | 0.533790 | − | 0.924552i | ||||
\(777\) | −3.50151 | + | 6.06479i | −0.125616 | + | 0.217573i | ||||
\(778\) | 7.54024 | 0.270331 | ||||||||
\(779\) | −2.64851 | − | 36.0979i | −0.0948926 | − | 1.29334i | ||||
\(780\) | −7.86699 | −0.281683 | ||||||||
\(781\) | −26.0586 | + | 45.1348i | −0.932450 | + | 1.61505i | ||||
\(782\) | −4.92252 | + | 8.52605i | −0.176029 | + | 0.304891i | ||||
\(783\) | −5.58747 | − | 9.67779i | −0.199680 | − | 0.345856i | ||||
\(784\) | −8.27989 | + | 14.3412i | −0.295710 | + | 0.512185i | ||||
\(785\) | 1.72822 | + | 2.99336i | 0.0616827 | + | 0.106838i | ||||
\(786\) | 46.8786 | 1.67210 | ||||||||
\(787\) | 3.52489 | 0.125649 | 0.0628243 | − | 0.998025i | \(-0.479989\pi\) | ||||
0.0628243 | + | 0.998025i | \(0.479989\pi\) | |||||||
\(788\) | −5.59151 | − | 9.68478i | −0.199189 | − | 0.345006i | ||||
\(789\) | −8.61990 | − | 14.9301i | −0.306877 | − | 0.531526i | ||||
\(790\) | −10.7636 | −0.382953 | ||||||||
\(791\) | −0.938948 | −0.0333852 | ||||||||
\(792\) | −43.3373 | − | 75.0624i | −1.53992 | − | 2.66723i | ||||
\(793\) | 11.0550 | − | 19.1479i | 0.392575 | − | 0.679961i | ||||
\(794\) | −18.1911 | − | 31.5078i | −0.645576 | − | 1.11817i | ||||
\(795\) | −12.8723 | + | 22.2956i | −0.456535 | + | 0.790742i | ||||
\(796\) | −1.78911 | + | 3.09882i | −0.0634132 | + | 0.109835i | ||||
\(797\) | −39.0084 | −1.38175 | −0.690875 | − | 0.722974i | \(-0.742774\pi\) | ||||
−0.690875 | + | 0.722974i | \(0.742774\pi\) | |||||||
\(798\) | −8.67516 | − | 4.19443i | −0.307097 | − | 0.148481i | ||||
\(799\) | −17.0867 | −0.604484 | ||||||||
\(800\) | 1.58710 | − | 2.74893i | 0.0561123 | − | 0.0971894i | ||||
\(801\) | −24.9278 | + | 43.1763i | −0.880782 | + | 1.52556i | ||||
\(802\) | 18.0674 | + | 31.2937i | 0.637983 | + | 1.10502i | ||||
\(803\) | −8.34969 | + | 14.4621i | −0.294654 | + | 0.510356i | ||||
\(804\) | 7.51261 | + | 13.0122i | 0.264949 | + | 0.458906i | ||||
\(805\) | 1.73448 | 0.0611323 | ||||||||
\(806\) | 32.9222 | 1.15964 | ||||||||
\(807\) | 36.5535 | + | 63.3126i | 1.28675 | + | 2.22871i | ||||
\(808\) | 1.49313 | + | 2.58618i | 0.0525282 | + | 0.0909814i | ||||
\(809\) | 50.7196 | 1.78321 | 0.891604 | − | 0.452816i | \(-0.149581\pi\) | ||||
0.891604 | + | 0.452816i | \(0.149581\pi\) | |||||||
\(810\) | −13.8725 | −0.487429 | ||||||||
\(811\) | −14.5188 | − | 25.1473i | −0.509824 | − | 0.883041i | −0.999935 | − | 0.0113812i | \(-0.996377\pi\) |
0.490111 | − | 0.871660i | \(-0.336956\pi\) | |||||||
\(812\) | −0.197796 | + | 0.342592i | −0.00694127 | + | 0.0120226i | ||||
\(813\) | 32.4516 | + | 56.2078i | 1.13813 | + | 1.97129i | ||||
\(814\) | −10.0757 | + | 17.4515i | −0.353151 | + | 0.611676i | ||||
\(815\) | −3.32641 | + | 5.76152i | −0.116519 | + | 0.201817i | ||||
\(816\) | −22.1015 | −0.773706 | ||||||||
\(817\) | −3.18597 | − | 43.4233i | −0.111463 | − | 1.51919i | ||||
\(818\) | 17.8310 | 0.623445 | ||||||||
\(819\) | 8.49614 | − | 14.7158i | 0.296879 | − | 0.514210i | ||||
\(820\) | −2.41527 | + | 4.18337i | −0.0843449 | + | 0.146090i | ||||
\(821\) | −16.4939 | − | 28.5682i | −0.575640 | − | 0.997038i | −0.995972 | − | 0.0896677i | \(-0.971420\pi\) |
0.420331 | − | 0.907371i | \(-0.361914\pi\) | |||||||
\(822\) | −23.1044 | + | 40.0180i | −0.805859 | + | 1.39579i | ||||
\(823\) | 13.2767 | + | 22.9959i | 0.462796 | + | 0.801586i | 0.999099 | − | 0.0424397i | \(-0.0135130\pi\) |
−0.536303 | + | 0.844025i | \(0.680180\pi\) | |||||||
\(824\) | −10.2736 | −0.357898 | ||||||||
\(825\) | 13.6671 | 0.475826 | ||||||||
\(826\) | −3.71292 | − | 6.43096i | −0.129189 | − | 0.223762i | ||||
\(827\) | 16.3833 | + | 28.3767i | 0.569703 | + | 0.986754i | 0.996595 | + | 0.0824515i | \(0.0262750\pi\) |
−0.426892 | + | 0.904302i | \(0.640392\pi\) | |||||||
\(828\) | 10.4106 | 0.361792 | ||||||||
\(829\) | 32.4548 | 1.12720 | 0.563601 | − | 0.826047i | \(-0.309416\pi\) | ||||
0.563601 | + | 0.826047i | \(0.309416\pi\) | |||||||
\(830\) | −1.26343 | − | 2.18832i | −0.0438542 | − | 0.0759576i | ||||
\(831\) | 1.25103 | − | 2.16685i | 0.0433978 | − | 0.0751671i | ||||
\(832\) | −19.4748 | − | 33.7314i | −0.675168 | − | 1.16943i | ||||
\(833\) | 9.62329 | − | 16.6680i | 0.333427 | − | 0.577513i | ||||
\(834\) | 19.2489 | − | 33.3401i | 0.666536 | − | 1.15447i | ||||
\(835\) | −16.4555 | −0.569466 | ||||||||
\(836\) | 10.2391 | + | 4.95061i | 0.354127 | + | 0.171220i | ||||
\(837\) | −62.3576 | −2.15539 | ||||||||
\(838\) | −3.67645 | + | 6.36780i | −0.127001 | + | 0.219972i | ||||
\(839\) | 17.6049 | − | 30.4926i | 0.607788 | − | 1.05272i | −0.383816 | − | 0.923410i | \(-0.625390\pi\) |
0.991604 | − | 0.129310i | \(-0.0412763\pi\) | |||||||
\(840\) | 2.85364 | + | 4.94265i | 0.0984600 | + | 0.170538i | ||||
\(841\) | 13.8769 | − | 24.0356i | 0.478515 | − | 0.828813i | ||||
\(842\) | −16.4005 | − | 28.4065i | −0.565198 | − | 0.978952i | ||||
\(843\) | −1.79015 | −0.0616560 | ||||||||
\(844\) | −7.38408 | −0.254171 | ||||||||
\(845\) | −3.34790 | − | 5.79874i | −0.115171 | − | 0.199483i | ||||
\(846\) | −22.0251 | − | 38.1486i | −0.757238 | − | 1.31158i | ||||
\(847\) | −5.55368 | −0.190827 | ||||||||
\(848\) | −21.1059 | −0.724779 | ||||||||
\(849\) | −47.1434 | − | 81.6547i | −1.61796 | − | 2.80238i | ||||
\(850\) | 1.72886 | − | 2.99448i | 0.0592995 | − | 0.102710i | ||||
\(851\) | −5.37084 | − | 9.30257i | −0.184110 | − | 0.318888i | ||||
\(852\) | 10.2990 | − | 17.8383i | 0.352837 | − | 0.611132i | ||||
\(853\) | 0.894126 | − | 1.54867i | 0.0306143 | − | 0.0530255i | −0.850312 | − | 0.526278i | \(-0.823587\pi\) |
0.880927 | + | 0.473253i | \(0.156920\pi\) | |||||||
\(854\) | −3.61430 | −0.123679 | ||||||||
\(855\) | 22.6603 | − | 15.3978i | 0.774967 | − | 0.526594i | ||||
\(856\) | 29.2597 | 1.00008 | ||||||||
\(857\) | −1.80690 | + | 3.12964i | −0.0617224 | + | 0.106906i | −0.895235 | − | 0.445594i | \(-0.852993\pi\) |
0.833513 | + | 0.552500i | \(0.186326\pi\) | |||||||
\(858\) | 36.1170 | − | 62.5564i | 1.23301 | − | 2.13564i | ||||
\(859\) | 12.6824 | + | 21.9666i | 0.432719 | + | 0.749491i | 0.997106 | − | 0.0760192i | \(-0.0242210\pi\) |
−0.564388 | + | 0.825510i | \(0.690888\pi\) | |||||||
\(860\) | −2.90540 | + | 5.03231i | −0.0990735 | + | 0.171600i | ||||
\(861\) | −7.70691 | − | 13.3488i | −0.262651 | − | 0.454924i | ||||
\(862\) | 17.9337 | 0.610824 | ||||||||
\(863\) | −29.9878 | −1.02080 | −0.510398 | − | 0.859939i | \(-0.670502\pi\) | ||||
−0.510398 | + | 0.859939i | \(0.670502\pi\) | |||||||
\(864\) | 15.8880 | + | 27.5188i | 0.540520 | + | 0.936209i | ||||
\(865\) | 11.3912 | + | 19.7302i | 0.387313 | + | 0.670846i | ||||
\(866\) | 1.15618 | 0.0392887 | ||||||||
\(867\) | −26.1145 | −0.886895 | ||||||||
\(868\) | 1.10372 | + | 1.91171i | 0.0374628 | + | 0.0648875i | ||||
\(869\) | −20.2688 | + | 35.1067i | −0.687573 | + | 1.19091i | ||||
\(870\) | 2.02547 | + | 3.50822i | 0.0686698 | + | 0.118940i | ||||
\(871\) | −18.8086 | + | 32.5774i | −0.637305 | + | 1.10384i | ||||
\(872\) | −8.52216 | + | 14.7608i | −0.288597 | + | 0.499864i | ||||
\(873\) | −60.7945 | −2.05758 | ||||||||
\(874\) | 12.2250 | − | 8.30695i | 0.413517 | − | 0.280987i | ||||
\(875\) | −0.609175 | −0.0205939 | ||||||||
\(876\) | 3.30000 | − | 5.71576i | 0.111497 | − | 0.193118i | ||||
\(877\) | −5.32389 | + | 9.22125i | −0.179775 | + | 0.311380i | −0.941803 | − | 0.336164i | \(-0.890870\pi\) |
0.762028 | + | 0.647544i | \(0.224204\pi\) | |||||||
\(878\) | −16.3378 | − | 28.2979i | −0.551374 | − | 0.955007i | ||||
\(879\) | −5.73281 | + | 9.92951i | −0.193363 | + | 0.334914i | ||||
\(880\) | 5.60224 | + | 9.70336i | 0.188851 | + | 0.327100i | ||||
\(881\) | −31.5797 | −1.06395 | −0.531973 | − | 0.846761i | \(-0.678549\pi\) | ||||
−0.531973 | + | 0.846761i | \(0.678549\pi\) | |||||||
\(882\) | 49.6185 | 1.67074 | ||||||||
\(883\) | −8.50871 | − | 14.7375i | −0.286341 | − | 0.495957i | 0.686593 | − | 0.727042i | \(-0.259106\pi\) |
−0.972933 | + | 0.231085i | \(0.925772\pi\) | |||||||
\(884\) | 3.74795 | + | 6.49163i | 0.126057 | + | 0.218337i | ||||
\(885\) | 31.1904 | 1.04845 | ||||||||
\(886\) | 10.4388 | 0.350700 | ||||||||
\(887\) | 6.61451 | + | 11.4567i | 0.222093 | + | 0.384677i | 0.955443 | − | 0.295174i | \(-0.0953777\pi\) |
−0.733350 | + | 0.679851i | \(0.762044\pi\) | |||||||
\(888\) | 17.6727 | − | 30.6100i | 0.593057 | − | 1.02721i | ||||
\(889\) | 0.702223 | + | 1.21629i | 0.0235518 | + | 0.0407929i | ||||
\(890\) | 4.72325 | − | 8.18090i | 0.158324 | − | 0.274225i | ||||
\(891\) | −26.1230 | + | 45.2464i | −0.875155 | + | 1.51581i | ||||
\(892\) | −13.1109 | −0.438985 | ||||||||
\(893\) | 23.0943 | + | 11.1661i | 0.772823 | + | 0.373659i | ||||
\(894\) | −13.6921 | −0.457933 | ||||||||
\(895\) | 1.16458 | − | 2.01711i | 0.0389277 | − | 0.0674247i | ||||
\(896\) | −1.24988 | + | 2.16486i | −0.0417557 | + | 0.0723229i | ||||
\(897\) | 19.2522 | + | 33.3458i | 0.642812 | + | 1.11338i | ||||
\(898\) | −5.73659 | + | 9.93607i | −0.191433 | + | 0.331571i | ||||
\(899\) | 3.47675 | + | 6.02191i | 0.115956 | + | 0.200842i | ||||
\(900\) | −3.65635 | −0.121878 | ||||||||
\(901\) | 24.5303 | 0.817222 | ||||||||
\(902\) | −22.1768 | − | 38.4113i | −0.738406 | − | 1.27896i | ||||
\(903\) | −9.27088 | − | 16.0576i | −0.308516 | − | 0.534365i | ||||
\(904\) | 4.73903 | 0.157618 | ||||||||
\(905\) | −22.3392 | −0.742580 | ||||||||
\(906\) | −17.2656 | − | 29.9050i | −0.573613 | − | 0.993526i | ||||
\(907\) | 7.44520 | − | 12.8955i | 0.247214 | − | 0.428187i | −0.715538 | − | 0.698574i | \(-0.753818\pi\) |
0.962752 | + | 0.270387i | \(0.0871517\pi\) | |||||||
\(908\) | 5.26829 | + | 9.12494i | 0.174834 | + | 0.302822i | ||||
\(909\) | 3.05232 | − | 5.28678i | 0.101239 | − | 0.175351i | ||||
\(910\) | −1.60982 | + | 2.78829i | −0.0533651 | + | 0.0924311i | ||||
\(911\) | −49.5480 | −1.64160 | −0.820800 | − | 0.571216i | \(-0.806472\pi\) | ||||
−0.820800 | + | 0.571216i | \(0.806472\pi\) | |||||||
\(912\) | 29.8723 | + | 14.4432i | 0.989172 | + | 0.478263i | ||||
\(913\) | −9.51655 | −0.314952 | ||||||||
\(914\) | −6.35400 | + | 11.0055i | −0.210172 | + | 0.364028i | ||||
\(915\) | 7.59049 | − | 13.1471i | 0.250934 | − | 0.434630i | ||||
\(916\) | −2.73882 | − | 4.74377i | −0.0904931 | − | 0.156739i | ||||
\(917\) | −3.93469 | + | 6.81509i | −0.129935 | + | 0.225054i | ||||
\(918\) | 17.3072 | + | 29.9769i | 0.571222 | + | 0.989385i | ||||
\(919\) | 27.3835 | 0.903300 | 0.451650 | − | 0.892195i | \(-0.350836\pi\) | ||||
0.451650 | + | 0.892195i | \(0.350836\pi\) | |||||||
\(920\) | −8.75421 | −0.288618 | ||||||||
\(921\) | −30.9926 | − | 53.6807i | −1.02124 | − | 1.76884i | ||||
\(922\) | 3.38623 | + | 5.86513i | 0.111520 | + | 0.193158i | ||||
\(923\) | 51.5691 | 1.69742 | ||||||||
\(924\) | 4.84331 | 0.159333 | ||||||||
\(925\) | 1.88632 | + | 3.26721i | 0.0620219 | + | 0.107425i | ||||
\(926\) | 21.0523 | − | 36.4637i | 0.691821 | − | 1.19827i | ||||
\(927\) | 10.5009 | + | 18.1880i | 0.344893 | + | 0.597373i | ||||
\(928\) | 1.77167 | − | 3.06863i | 0.0581580 | − | 0.100733i | ||||
\(929\) | −26.0947 | + | 45.1973i | −0.856139 | + | 1.48288i | 0.0194449 | + | 0.999811i | \(0.493810\pi\) |
−0.875584 | + | 0.483066i | \(0.839523\pi\) | |||||||
\(930\) | 22.6047 | 0.741238 | ||||||||
\(931\) | −23.8993 | + | 16.2397i | −0.783269 | + | 0.532234i | ||||
\(932\) | −9.13323 | −0.299169 | ||||||||
\(933\) | 11.6985 | − | 20.2625i | 0.382993 | − | 0.663364i | ||||
\(934\) | −19.5947 | + | 33.9390i | −0.641158 | + | 1.11052i | ||||
\(935\) | −6.51119 | − | 11.2777i | −0.212939 | − | 0.368821i | ||||
\(936\) | −42.8815 | + | 74.2729i | −1.40163 | + | 2.42769i | ||||
\(937\) | −7.78988 | − | 13.4925i | −0.254484 | − | 0.440780i | 0.710271 | − | 0.703928i | \(-0.248572\pi\) |
−0.964755 | + | 0.263149i | \(0.915239\pi\) | |||||||
\(938\) | 6.14922 | 0.200779 | ||||||||
\(939\) | 73.1099 | 2.38585 | ||||||||
\(940\) | −1.71175 | − | 2.96484i | −0.0558312 | − | 0.0967025i | ||||
\(941\) | 29.3277 | + | 50.7970i | 0.956055 | + | 1.65594i | 0.731936 | + | 0.681373i | \(0.238617\pi\) |
0.224119 | + | 0.974562i | \(0.428050\pi\) | |||||||
\(942\) | 12.5431 | 0.408675 | ||||||||
\(943\) | 23.6427 | 0.769913 | ||||||||
\(944\) | 12.7852 | + | 22.1446i | 0.416122 | + | 0.720745i | ||||
\(945\) | 3.04914 | − | 5.28127i | 0.0991886 | − | 0.171800i | ||||
\(946\) | −26.6771 | − | 46.2062i | −0.867349 | − | 1.50229i | ||||
\(947\) | −6.15326 | + | 10.6578i | −0.199954 | + | 0.346331i | −0.948513 | − | 0.316737i | \(-0.897413\pi\) |
0.748559 | + | 0.663068i | \(0.230746\pi\) | |||||||
\(948\) | 8.01072 | − | 13.8750i | 0.260176 | − | 0.450638i | ||||
\(949\) | 16.5238 | 0.536384 | ||||||||
\(950\) | −4.29361 | + | 2.91753i | −0.139303 | + | 0.0946571i | ||||
\(951\) | 3.16612 | 0.102668 | ||||||||
\(952\) | 2.71903 | − | 4.70950i | 0.0881244 | − | 0.152636i | ||||
\(953\) | −4.13499 | + | 7.16201i | −0.133945 | + | 0.232000i | −0.925194 | − | 0.379494i | \(-0.876098\pi\) |
0.791249 | + | 0.611494i | \(0.209431\pi\) | |||||||
\(954\) | 31.6200 | + | 54.7675i | 1.02374 | + | 1.77316i | ||||
\(955\) | −1.11883 | + | 1.93787i | −0.0362044 | + | 0.0627079i | ||||
\(956\) | −6.82403 | − | 11.8196i | −0.220705 | − | 0.382272i | ||||
\(957\) | 15.2565 | 0.493173 | ||||||||
\(958\) | 10.7863 | 0.348490 | ||||||||
\(959\) | −3.87848 | − | 6.71773i | −0.125243 | − | 0.216927i | ||||
\(960\) | −13.3716 | − | 23.1603i | −0.431567 | − | 0.747496i | ||||
\(961\) | 7.80138 | 0.251657 | ||||||||
\(962\) | 19.9394 | 0.642871 | ||||||||
\(963\) | −29.9070 | − | 51.8004i | −0.963738 | − | 1.66924i | ||||
\(964\) | 3.83054 | − | 6.63469i | 0.123373 | − | 0.213689i | ||||
\(965\) | 2.27153 | + | 3.93441i | 0.0731232 | + | 0.126653i | ||||
\(966\) | 3.14713 | − | 5.45099i | 0.101257 | − | 0.175383i | ||||
\(967\) | −7.11235 | + | 12.3190i | −0.228718 | + | 0.396151i | −0.957428 | − | 0.288671i | \(-0.906787\pi\) |
0.728711 | + | 0.684822i | \(0.240120\pi\) | |||||||
\(968\) | 28.0304 | 0.900931 | ||||||||
\(969\) | −34.7191 | − | 16.7866i | −1.11534 | − | 0.539264i | ||||
\(970\) | 11.5191 | 0.369857 | ||||||||
\(971\) | −4.86930 | + | 8.43388i | −0.156263 | + | 0.270656i | −0.933518 | − | 0.358530i | \(-0.883278\pi\) |
0.777255 | + | 0.629186i | \(0.216612\pi\) | |||||||
\(972\) | 1.58907 | − | 2.75235i | 0.0509694 | − | 0.0882816i | ||||
\(973\) | 3.23127 | + | 5.59672i | 0.103590 | + | 0.179423i | ||||
\(974\) | −9.83727 | + | 17.0387i | −0.315207 | + | 0.545954i | ||||
\(975\) | −6.76167 | − | 11.7115i | −0.216547 | − | 0.375070i | ||||
\(976\) | 12.4456 | 0.398374 | ||||||||
\(977\) | −6.35308 | −0.203253 | −0.101627 | − | 0.994823i | \(-0.532405\pi\) | ||||
−0.101627 | + | 0.994823i | \(0.532405\pi\) | |||||||
\(978\) | 12.0712 | + | 20.9080i | 0.385996 | + | 0.668564i | ||||
\(979\) | −17.7885 | − | 30.8107i | −0.568524 | − | 0.984713i | ||||
\(980\) | 3.85626 | 0.123184 | ||||||||
\(981\) | 34.8427 | 1.11244 | ||||||||
\(982\) | −0.828426 | − | 1.43488i | −0.0264361 | − | 0.0457887i | ||||
\(983\) | −4.94043 | + | 8.55708i | −0.157575 | + | 0.272929i | −0.933994 | − | 0.357289i | \(-0.883701\pi\) |
0.776418 | + | 0.630218i | \(0.217034\pi\) | |||||||
\(984\) | 38.8981 | + | 67.3735i | 1.24003 | + | 2.14779i | ||||
\(985\) | 9.61179 | − | 16.6481i | 0.306257 | − | 0.530453i | ||||
\(986\) | 1.92993 | − | 3.34273i | 0.0614613 | − | 0.106454i | ||||
\(987\) | 10.9241 | 0.347718 | ||||||||
\(988\) | −0.823458 | − | 11.2234i | −0.0261977 | − | 0.357062i | ||||
\(989\) | 28.4406 | 0.904358 | ||||||||
\(990\) | 16.7861 | − | 29.0744i | 0.533498 | − | 0.924045i | ||||
\(991\) | −18.6675 | + | 32.3331i | −0.592993 | + | 1.02709i | 0.400834 | + | 0.916151i | \(0.368720\pi\) |
−0.993827 | + | 0.110943i | \(0.964613\pi\) | |||||||
\(992\) | −9.88614 | − | 17.1233i | −0.313885 | − | 0.543665i | ||||
\(993\) | −46.9745 | + | 81.3623i | −1.49069 | + | 2.58195i | ||||
\(994\) | −4.21496 | − | 7.30053i | −0.133690 | − | 0.231559i | ||||
\(995\) | −6.15094 | −0.194998 | ||||||||
\(996\) | 3.76117 | 0.119177 | ||||||||
\(997\) | 21.8474 | + | 37.8408i | 0.691914 | + | 1.19843i | 0.971210 | + | 0.238225i | \(0.0765656\pi\) |
−0.279296 | + | 0.960205i | \(0.590101\pi\) | |||||||
\(998\) | −9.92332 | − | 17.1877i | −0.314117 | − | 0.544067i | ||||
\(999\) | −37.7669 | −1.19489 |
(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 | 95.2.e.c.11.3 | ✓ | 8 | |
3.2 | odd | 2 | 855.2.k.h.676.2 | 8 | |||
4.3 | odd | 2 | 1520.2.q.o.961.4 | 8 | |||
5.2 | odd | 4 | 475.2.j.c.49.6 | 16 | |||
5.3 | odd | 4 | 475.2.j.c.49.3 | 16 | |||
5.4 | even | 2 | 475.2.e.e.201.2 | 8 | |||
19.7 | even | 3 | inner | 95.2.e.c.26.3 | yes | 8 | |
19.8 | odd | 6 | 1805.2.a.i.1.3 | 4 | |||
19.11 | even | 3 | 1805.2.a.o.1.2 | 4 | |||
57.26 | odd | 6 | 855.2.k.h.406.2 | 8 | |||
76.7 | odd | 6 | 1520.2.q.o.881.4 | 8 | |||
95.7 | odd | 12 | 475.2.j.c.349.3 | 16 | |||
95.49 | even | 6 | 9025.2.a.bg.1.3 | 4 | |||
95.64 | even | 6 | 475.2.e.e.26.2 | 8 | |||
95.83 | odd | 12 | 475.2.j.c.349.6 | 16 | |||
95.84 | odd | 6 | 9025.2.a.bp.1.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.e.c.11.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
95.2.e.c.26.3 | yes | 8 | 19.7 | even | 3 | inner | |
475.2.e.e.26.2 | 8 | 95.64 | even | 6 | |||
475.2.e.e.201.2 | 8 | 5.4 | even | 2 | |||
475.2.j.c.49.3 | 16 | 5.3 | odd | 4 | |||
475.2.j.c.49.6 | 16 | 5.2 | odd | 4 | |||
475.2.j.c.349.3 | 16 | 95.7 | odd | 12 | |||
475.2.j.c.349.6 | 16 | 95.83 | odd | 12 | |||
855.2.k.h.406.2 | 8 | 57.26 | odd | 6 | |||
855.2.k.h.676.2 | 8 | 3.2 | odd | 2 | |||
1520.2.q.o.881.4 | 8 | 76.7 | odd | 6 | |||
1520.2.q.o.961.4 | 8 | 4.3 | odd | 2 | |||
1805.2.a.i.1.3 | 4 | 19.8 | odd | 6 | |||
1805.2.a.o.1.2 | 4 | 19.11 | even | 3 | |||
9025.2.a.bg.1.3 | 4 | 95.49 | even | 6 | |||
9025.2.a.bp.1.2 | 4 | 95.84 | odd | 6 |