Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(62,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.62");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.k (of order \(4\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 83.3 | ||
Character | \(\chi\) | \(=\) | 105.83 |
Dual form | 105.3.k.d.62.3 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.28094 | − | 2.28094i | −1.14047 | − | 1.14047i | −0.988364 | − | 0.152108i | \(-0.951394\pi\) |
−0.152108 | − | 0.988364i | \(-0.548606\pi\) | |||||||
\(3\) | −1.07458 | − | 2.80094i | −0.358195 | − | 0.933647i | ||||
\(4\) | 6.40541i | 1.60135i | ||||||||
\(5\) | 1.80941 | + | 4.66112i | 0.361882 | + | 0.932224i | ||||
\(6\) | −3.93772 | + | 8.83986i | −0.656287 | + | 1.47331i | ||||
\(7\) | −6.22100 | + | 3.20922i | −0.888715 | + | 0.458460i | ||||
\(8\) | 5.48661 | − | 5.48661i | 0.685827 | − | 0.685827i | ||||
\(9\) | −6.69054 | + | 6.01969i | −0.743393 | + | 0.668855i | ||||
\(10\) | 6.50460 | − | 14.7589i | 0.650460 | − | 1.47589i | ||||
\(11\) | 11.1704i | 1.01549i | 0.861506 | + | 0.507747i | \(0.169522\pi\) | ||||
−0.861506 | + | 0.507747i | \(0.830478\pi\) | |||||||
\(12\) | 17.9412 | − | 6.88316i | 1.49510 | − | 0.573596i | ||||
\(13\) | 5.82807 | − | 5.82807i | 0.448313 | − | 0.448313i | −0.446480 | − | 0.894794i | \(-0.647323\pi\) |
0.894794 | + | 0.446480i | \(0.147323\pi\) | |||||||
\(14\) | 21.5098 | + | 6.86971i | 1.53642 | + | 0.490694i | ||||
\(15\) | 11.1112 | − | 10.0768i | 0.740744 | − | 0.671787i | ||||
\(16\) | 0.592330 | 0.0370206 | ||||||||
\(17\) | 6.84147 | − | 6.84147i | 0.402440 | − | 0.402440i | −0.476652 | − | 0.879092i | \(-0.658150\pi\) |
0.879092 | + | 0.476652i | \(0.158150\pi\) | |||||||
\(18\) | 28.9913 | + | 1.53016i | 1.61063 | + | 0.0850091i | ||||
\(19\) | −25.0261 | −1.31716 | −0.658581 | − | 0.752510i | \(-0.728843\pi\) | ||||
−0.658581 | + | 0.752510i | \(0.728843\pi\) | |||||||
\(20\) | −29.8564 | + | 11.5900i | −1.49282 | + | 0.579500i | ||||
\(21\) | 15.6738 | + | 13.9761i | 0.746373 | + | 0.665528i | ||||
\(22\) | 25.4792 | − | 25.4792i | 1.15814 | − | 1.15814i | ||||
\(23\) | −23.3593 | + | 23.3593i | −1.01562 | + | 1.01562i | −0.0157445 | + | 0.999876i | \(0.505012\pi\) |
−0.999876 | + | 0.0157445i | \(0.994988\pi\) | |||||||
\(24\) | −21.2635 | − | 9.47185i | −0.885980 | − | 0.394661i | ||||
\(25\) | −18.4521 | + | 16.8677i | −0.738083 | + | 0.674710i | ||||
\(26\) | −26.5870 | −1.02258 | ||||||||
\(27\) | 24.0503 | + | 12.2711i | 0.890754 | + | 0.454487i | ||||
\(28\) | −20.5564 | − | 39.8481i | −0.734157 | − | 1.42315i | ||||
\(29\) | 10.6354 | 0.366738 | 0.183369 | − | 0.983044i | \(-0.441300\pi\) | ||||
0.183369 | + | 0.983044i | \(0.441300\pi\) | |||||||
\(30\) | −48.3286 | − | 2.35930i | −1.61095 | − | 0.0786432i | ||||
\(31\) | 26.9470i | 0.869257i | 0.900610 | + | 0.434629i | \(0.143120\pi\) | ||||
−0.900610 | + | 0.434629i | \(0.856880\pi\) | |||||||
\(32\) | −23.2975 | − | 23.2975i | −0.728048 | − | 0.728048i | ||||
\(33\) | 31.2877 | − | 12.0036i | 0.948113 | − | 0.363745i | ||||
\(34\) | −31.2100 | −0.917942 | ||||||||
\(35\) | −26.2149 | − | 23.1901i | −0.748997 | − | 0.662573i | ||||
\(36\) | −38.5586 | − | 42.8557i | −1.07107 | − | 1.19044i | ||||
\(37\) | −20.8846 | + | 20.8846i | −0.564448 | + | 0.564448i | −0.930568 | − | 0.366120i | \(-0.880686\pi\) |
0.366120 | + | 0.930568i | \(0.380686\pi\) | |||||||
\(38\) | 57.0831 | + | 57.0831i | 1.50219 | + | 1.50219i | ||||
\(39\) | −22.5868 | − | 10.0613i | −0.579150 | − | 0.257983i | ||||
\(40\) | 35.5013 | + | 15.6462i | 0.887532 | + | 0.391156i | ||||
\(41\) | 32.9644 | 0.804010 | 0.402005 | − | 0.915637i | \(-0.368313\pi\) | ||||
0.402005 | + | 0.915637i | \(0.368313\pi\) | |||||||
\(42\) | −3.87246 | − | 67.6298i | −0.0922014 | − | 1.61023i | ||||
\(43\) | 1.25060 | + | 1.25060i | 0.0290836 | + | 0.0290836i | 0.721499 | − | 0.692415i | \(-0.243453\pi\) |
−0.692415 | + | 0.721499i | \(0.743453\pi\) | |||||||
\(44\) | −71.5513 | −1.62617 | ||||||||
\(45\) | −40.1644 | − | 20.2933i | −0.892543 | − | 0.450963i | ||||
\(46\) | 106.562 | 2.31657 | ||||||||
\(47\) | −59.1134 | + | 59.1134i | −1.25773 | + | 1.25773i | −0.305558 | + | 0.952173i | \(0.598843\pi\) |
−0.952173 | + | 0.305558i | \(0.901157\pi\) | |||||||
\(48\) | −0.636508 | − | 1.65908i | −0.0132606 | − | 0.0345642i | ||||
\(49\) | 28.4018 | − | 39.9292i | 0.579629 | − | 0.814881i | ||||
\(50\) | 80.5625 | + | 3.61381i | 1.61125 | + | 0.0722761i | ||||
\(51\) | −26.5143 | − | 11.8108i | −0.519888 | − | 0.231585i | ||||
\(52\) | 37.3312 | + | 37.3312i | 0.717908 | + | 0.717908i | ||||
\(53\) | 26.0484 | − | 26.0484i | 0.491478 | − | 0.491478i | −0.417293 | − | 0.908772i | \(-0.637021\pi\) |
0.908772 | + | 0.417293i | \(0.137021\pi\) | |||||||
\(54\) | −26.8677 | − | 82.8473i | −0.497550 | − | 1.53421i | ||||
\(55\) | −52.0668 | + | 20.2119i | −0.946669 | + | 0.367489i | ||||
\(56\) | −16.5245 | + | 51.7400i | −0.295080 | + | 0.923929i | ||||
\(57\) | 26.8926 | + | 70.0965i | 0.471800 | + | 1.22976i | ||||
\(58\) | −24.2588 | − | 24.2588i | −0.418254 | − | 0.418254i | ||||
\(59\) | − | 70.2066i | − | 1.18994i | −0.803747 | − | 0.594971i | \(-0.797163\pi\) | ||
0.803747 | − | 0.594971i | \(-0.202837\pi\) | |||||||
\(60\) | 64.5461 | + | 71.1716i | 1.07577 | + | 1.18619i | ||||
\(61\) | 14.1716i | 0.232321i | 0.993230 | + | 0.116161i | \(0.0370587\pi\) | ||||
−0.993230 | + | 0.116161i | \(0.962941\pi\) | |||||||
\(62\) | 61.4646 | − | 61.4646i | 0.991364 | − | 0.991364i | ||||
\(63\) | 22.3033 | − | 58.9200i | 0.354021 | − | 0.935237i | ||||
\(64\) | 103.911i | 1.62362i | ||||||||
\(65\) | 37.7107 | + | 16.6200i | 0.580165 | + | 0.255692i | ||||
\(66\) | −98.7451 | − | 43.9861i | −1.49614 | − | 0.666456i | ||||
\(67\) | −6.14458 | + | 6.14458i | −0.0917101 | + | 0.0917101i | −0.751473 | − | 0.659763i | \(-0.770657\pi\) |
0.659763 | + | 0.751473i | \(0.270657\pi\) | |||||||
\(68\) | 43.8225 | + | 43.8225i | 0.644448 | + | 0.644448i | ||||
\(69\) | 90.5294 | + | 40.3264i | 1.31202 | + | 0.584441i | ||||
\(70\) | 6.89950 | + | 112.690i | 0.0985643 | + | 1.60986i | ||||
\(71\) | 39.0498i | 0.549997i | 0.961445 | + | 0.274999i | \(0.0886774\pi\) | ||||
−0.961445 | + | 0.274999i | \(0.911323\pi\) | |||||||
\(72\) | −3.68068 | + | 69.7361i | −0.0511205 | + | 0.968557i | ||||
\(73\) | −51.1141 | + | 51.1141i | −0.700193 | + | 0.700193i | −0.964452 | − | 0.264259i | \(-0.914873\pi\) |
0.264259 | + | 0.964452i | \(0.414873\pi\) | |||||||
\(74\) | 95.2731 | 1.28747 | ||||||||
\(75\) | 67.0738 | + | 33.5574i | 0.894318 | + | 0.447432i | ||||
\(76\) | − | 160.302i | − | 2.10924i | ||||||
\(77\) | −35.8484 | − | 69.4914i | −0.465564 | − | 0.902485i | ||||
\(78\) | 28.5700 | + | 74.4687i | 0.366282 | + | 0.954726i | ||||
\(79\) | − | 16.8398i | − | 0.213162i | −0.994304 | − | 0.106581i | \(-0.966010\pi\) | ||
0.994304 | − | 0.106581i | \(-0.0339903\pi\) | |||||||
\(80\) | 1.07177 | + | 2.76092i | 0.0133971 | + | 0.0345115i | ||||
\(81\) | 8.52661 | − | 80.5500i | 0.105267 | − | 0.994444i | ||||
\(82\) | −75.1900 | − | 75.1900i | −0.916951 | − | 0.916951i | ||||
\(83\) | −31.3367 | − | 31.3367i | −0.377551 | − | 0.377551i | 0.492667 | − | 0.870218i | \(-0.336022\pi\) |
−0.870218 | + | 0.492667i | \(0.836022\pi\) | |||||||
\(84\) | −89.5226 | + | 100.397i | −1.06575 | + | 1.19521i | ||||
\(85\) | 44.2679 | + | 19.5099i | 0.520799 | + | 0.229528i | ||||
\(86\) | − | 5.70508i | − | 0.0663381i | ||||||
\(87\) | −11.4286 | − | 29.7891i | −0.131364 | − | 0.342404i | ||||
\(88\) | 61.2879 | + | 61.2879i | 0.696453 | + | 0.696453i | ||||
\(89\) | − | 70.8895i | − | 0.796511i | −0.917274 | − | 0.398256i | \(-0.869616\pi\) | ||
0.917274 | − | 0.398256i | \(-0.130384\pi\) | |||||||
\(90\) | 45.3249 | + | 137.901i | 0.503610 | + | 1.53223i | ||||
\(91\) | −17.5529 | + | 54.9600i | −0.192889 | + | 0.603957i | ||||
\(92\) | −149.626 | − | 149.626i | −1.62637 | − | 1.62637i | ||||
\(93\) | 75.4769 | − | 28.9568i | 0.811579 | − | 0.311363i | ||||
\(94\) | 269.669 | 2.86882 | ||||||||
\(95\) | −45.2824 | − | 116.650i | −0.476657 | − | 1.22789i | ||||
\(96\) | −40.2198 | + | 90.2902i | −0.418957 | + | 0.940522i | ||||
\(97\) | −114.216 | − | 114.216i | −1.17748 | − | 1.17748i | −0.980383 | − | 0.197101i | \(-0.936847\pi\) |
−0.197101 | − | 0.980383i | \(-0.563153\pi\) | |||||||
\(98\) | −155.859 | + | 26.2933i | −1.59040 | + | 0.268299i | ||||
\(99\) | −67.2426 | − | 74.7363i | −0.679218 | − | 0.754912i | ||||
\(100\) | −108.045 | − | 118.193i | −1.08045 | − | 1.18193i | ||||
\(101\) | −54.9464 | −0.544024 | −0.272012 | − | 0.962294i | \(-0.587689\pi\) | ||||
−0.272012 | + | 0.962294i | \(0.587689\pi\) | |||||||
\(102\) | 33.5378 | + | 87.4175i | 0.328802 | + | 0.857034i | ||||
\(103\) | 109.306 | − | 109.306i | 1.06123 | − | 1.06123i | 0.0632258 | − | 0.997999i | \(-0.479861\pi\) |
0.997999 | − | 0.0632258i | \(-0.0201388\pi\) | |||||||
\(104\) | − | 63.9528i | − | 0.614931i | ||||||
\(105\) | −36.7839 | + | 98.3461i | −0.350323 | + | 0.936629i | ||||
\(106\) | −118.830 | −1.12103 | ||||||||
\(107\) | 89.1318 | + | 89.1318i | 0.833007 | + | 0.833007i | 0.987927 | − | 0.154920i | \(-0.0495120\pi\) |
−0.154920 | + | 0.987927i | \(0.549512\pi\) | |||||||
\(108\) | −78.6017 | + | 154.052i | −0.727794 | + | 1.42641i | ||||
\(109\) | 91.2226i | 0.836904i | 0.908239 | + | 0.418452i | \(0.137427\pi\) | ||||
−0.908239 | + | 0.418452i | \(0.862573\pi\) | |||||||
\(110\) | 164.864 | + | 72.6592i | 1.49876 | + | 0.660538i | ||||
\(111\) | 80.9387 | + | 36.0542i | 0.729177 | + | 0.324813i | ||||
\(112\) | −3.68489 | + | 1.90092i | −0.0329008 | + | 0.0169725i | ||||
\(113\) | −98.3921 | + | 98.3921i | −0.870726 | + | 0.870726i | −0.992552 | − | 0.121825i | \(-0.961125\pi\) |
0.121825 | + | 0.992552i | \(0.461125\pi\) | |||||||
\(114\) | 98.5457 | − | 221.227i | 0.864436 | − | 1.94059i | ||||
\(115\) | −151.147 | − | 66.6139i | −1.31432 | − | 0.579251i | ||||
\(116\) | 68.1242i | 0.587277i | ||||||||
\(117\) | −3.90974 | + | 74.0762i | −0.0334166 | + | 0.633129i | ||||
\(118\) | −160.137 | + | 160.137i | −1.35710 | + | 1.35710i | ||||
\(119\) | −20.6050 | + | 64.5166i | −0.173152 | + | 0.542157i | ||||
\(120\) | 5.67508 | − | 116.250i | 0.0472924 | − | 0.968752i | ||||
\(121\) | −3.77875 | −0.0312293 | ||||||||
\(122\) | 32.3246 | − | 32.3246i | 0.264956 | − | 0.264956i | ||||
\(123\) | −35.4230 | − | 92.3314i | −0.287992 | − | 0.750661i | ||||
\(124\) | −172.607 | −1.39199 | ||||||||
\(125\) | −112.010 | − | 55.4868i | −0.896079 | − | 0.443894i | ||||
\(126\) | −185.266 | + | 83.5204i | −1.47036 | + | 0.662861i | ||||
\(127\) | 172.312 | − | 172.312i | 1.35679 | − | 1.35679i | 0.478948 | − | 0.877843i | \(-0.341018\pi\) |
0.877843 | − | 0.478948i | \(-0.158982\pi\) | |||||||
\(128\) | 143.826 | − | 143.826i | 1.12364 | − | 1.12364i | ||||
\(129\) | 2.15897 | − | 4.84672i | 0.0167362 | − | 0.0375714i | ||||
\(130\) | −48.1068 | − | 123.925i | −0.370052 | − | 0.953271i | ||||
\(131\) | 71.6542 | 0.546979 | 0.273489 | − | 0.961875i | \(-0.411822\pi\) | ||||
0.273489 | + | 0.961875i | \(0.411822\pi\) | |||||||
\(132\) | 76.8879 | + | 200.411i | 0.582484 | + | 1.51826i | ||||
\(133\) | 155.687 | − | 80.3142i | 1.17058 | − | 0.603866i | ||||
\(134\) | 28.0309 | 0.209186 | ||||||||
\(135\) | −13.6804 | + | 134.305i | −0.101336 | + | 0.994852i | ||||
\(136\) | − | 75.0730i | − | 0.552008i | ||||||
\(137\) | 57.1182 | + | 57.1182i | 0.416921 | + | 0.416921i | 0.884141 | − | 0.467220i | \(-0.154744\pi\) |
−0.467220 | + | 0.884141i | \(0.654744\pi\) | |||||||
\(138\) | −114.510 | − | 298.475i | −0.829784 | − | 2.16286i | ||||
\(139\) | 41.4536 | 0.298227 | 0.149113 | − | 0.988820i | \(-0.452358\pi\) | ||||
0.149113 | + | 0.988820i | \(0.452358\pi\) | |||||||
\(140\) | 148.542 | − | 167.917i | 1.06101 | − | 1.19941i | ||||
\(141\) | 229.095 | + | 102.051i | 1.62479 | + | 0.723765i | ||||
\(142\) | 89.0704 | − | 89.0704i | 0.627256 | − | 0.627256i | ||||
\(143\) | 65.1021 | + | 65.1021i | 0.455260 | + | 0.455260i | ||||
\(144\) | −3.96301 | + | 3.56564i | −0.0275209 | + | 0.0247614i | ||||
\(145\) | 19.2438 | + | 49.5729i | 0.132716 | + | 0.341882i | ||||
\(146\) | 233.177 | 1.59710 | ||||||||
\(147\) | −142.359 | − | 36.6445i | −0.968431 | − | 0.249282i | ||||
\(148\) | −133.774 | − | 133.774i | −0.903880 | − | 0.903880i | ||||
\(149\) | 62.9077 | 0.422199 | 0.211100 | − | 0.977465i | \(-0.432296\pi\) | ||||
0.211100 | + | 0.977465i | \(0.432296\pi\) | |||||||
\(150\) | −76.4492 | − | 229.534i | −0.509661 | − | 1.53023i | ||||
\(151\) | −20.6412 | −0.136697 | −0.0683484 | − | 0.997662i | \(-0.521773\pi\) | ||||
−0.0683484 | + | 0.997662i | \(0.521773\pi\) | |||||||
\(152\) | −137.308 | + | 137.308i | −0.903345 | + | 0.903345i | ||||
\(153\) | −4.58958 | + | 86.9567i | −0.0299972 | + | 0.568344i | ||||
\(154\) | −76.7377 | + | 240.274i | −0.498297 | + | 1.56022i | ||||
\(155\) | −125.603 | + | 48.7581i | −0.810343 | + | 0.314568i | ||||
\(156\) | 64.4470 | − | 144.678i | 0.413122 | − | 0.927423i | ||||
\(157\) | 213.253 | + | 213.253i | 1.35830 | + | 1.35830i | 0.876015 | + | 0.482284i | \(0.160193\pi\) |
0.482284 | + | 0.876015i | \(0.339807\pi\) | |||||||
\(158\) | −38.4106 | + | 38.4106i | −0.243105 | + | 0.243105i | ||||
\(159\) | −100.951 | − | 44.9687i | −0.634912 | − | 0.282822i | ||||
\(160\) | 66.4378 | − | 150.747i | 0.415237 | − | 0.942171i | ||||
\(161\) | 70.3531 | − | 220.283i | 0.436976 | − | 1.36822i | ||||
\(162\) | −203.179 | + | 164.281i | −1.25419 | + | 1.01408i | ||||
\(163\) | −19.5250 | − | 19.5250i | −0.119785 | − | 0.119785i | 0.644673 | − | 0.764458i | \(-0.276993\pi\) |
−0.764458 | + | 0.644673i | \(0.776993\pi\) | |||||||
\(164\) | 211.151i | 1.28750i | ||||||||
\(165\) | 112.562 | + | 124.117i | 0.682196 | + | 0.752222i | ||||
\(166\) | 142.955i | 0.861173i | ||||||||
\(167\) | −151.924 | + | 151.924i | −0.909725 | + | 0.909725i | −0.996250 | − | 0.0865247i | \(-0.972424\pi\) |
0.0865247 | + | 0.996250i | \(0.472424\pi\) | |||||||
\(168\) | 162.678 | − | 9.31486i | 0.968320 | − | 0.0554456i | ||||
\(169\) | 101.067i | 0.598030i | ||||||||
\(170\) | −56.4717 | − | 145.474i | −0.332186 | − | 0.855728i | ||||
\(171\) | 167.438 | − | 150.649i | 0.979169 | − | 0.880990i | ||||
\(172\) | −8.01059 | + | 8.01059i | −0.0465732 | + | 0.0465732i | ||||
\(173\) | −19.8589 | − | 19.8589i | −0.114791 | − | 0.114791i | 0.647378 | − | 0.762169i | \(-0.275866\pi\) |
−0.762169 | + | 0.647378i | \(0.775866\pi\) | |||||||
\(174\) | −41.8793 | + | 94.0154i | −0.240685 | + | 0.540319i | ||||
\(175\) | 60.6582 | − | 164.151i | 0.346618 | − | 0.938006i | ||||
\(176\) | 6.61658i | 0.0375942i | ||||||||
\(177\) | −196.645 | + | 75.4429i | −1.11099 | + | 0.426231i | ||||
\(178\) | −161.695 | + | 161.695i | −0.908399 | + | 0.908399i | ||||
\(179\) | −157.790 | −0.881508 | −0.440754 | − | 0.897628i | \(-0.645289\pi\) | ||||
−0.440754 | + | 0.897628i | \(0.645289\pi\) | |||||||
\(180\) | 129.987 | − | 257.270i | 0.722151 | − | 1.42928i | ||||
\(181\) | 58.8019i | 0.324872i | 0.986719 | + | 0.162436i | \(0.0519351\pi\) | ||||
−0.986719 | + | 0.162436i | \(0.948065\pi\) | |||||||
\(182\) | 165.398 | − | 85.3236i | 0.908780 | − | 0.468811i | ||||
\(183\) | 39.6938 | − | 15.2286i | 0.216906 | − | 0.0832162i | ||||
\(184\) | 256.327i | 1.39308i | ||||||||
\(185\) | −135.134 | − | 59.5568i | −0.730455 | − | 0.321928i | ||||
\(186\) | −238.207 | − | 106.110i | −1.28068 | − | 0.570483i | ||||
\(187\) | 76.4223 | + | 76.4223i | 0.408675 | + | 0.408675i | ||||
\(188\) | −378.646 | − | 378.646i | −2.01407 | − | 2.01407i | ||||
\(189\) | −188.998 | + | 0.844085i | −0.999990 | + | 0.00446606i | ||||
\(190\) | −162.784 | + | 369.358i | −0.856760 | + | 1.94399i | ||||
\(191\) | − | 8.99622i | − | 0.0471007i | −0.999723 | − | 0.0235503i | \(-0.992503\pi\) | ||
0.999723 | − | 0.0235503i | \(-0.00749699\pi\) | |||||||
\(192\) | 291.050 | − | 111.662i | 1.51588 | − | 0.581571i | ||||
\(193\) | 96.1055 | + | 96.1055i | 0.497956 | + | 0.497956i | 0.910801 | − | 0.412845i | \(-0.135465\pi\) |
−0.412845 | + | 0.910801i | \(0.635465\pi\) | |||||||
\(194\) | 521.041i | 2.68578i | ||||||||
\(195\) | 6.02827 | − | 123.485i | 0.0309142 | − | 0.633257i | ||||
\(196\) | 255.763 | + | 181.925i | 1.30491 | + | 0.928190i | ||||
\(197\) | 113.154 | + | 113.154i | 0.574386 | + | 0.574386i | 0.933351 | − | 0.358965i | \(-0.116870\pi\) |
−0.358965 | + | 0.933351i | \(0.616870\pi\) | |||||||
\(198\) | −17.0926 | + | 323.846i | −0.0863262 | + | 1.63559i | ||||
\(199\) | 122.026 | 0.613196 | 0.306598 | − | 0.951839i | \(-0.400809\pi\) | ||||
0.306598 | + | 0.951839i | \(0.400809\pi\) | |||||||
\(200\) | −8.69270 | + | 193.786i | −0.0434635 | + | 0.968931i | ||||
\(201\) | 23.8135 | + | 10.6077i | 0.118475 | + | 0.0527748i | ||||
\(202\) | 125.330 | + | 125.330i | 0.620444 | + | 0.620444i | ||||
\(203\) | −66.1629 | + | 34.1314i | −0.325926 | + | 0.168135i | ||||
\(204\) | 75.6532 | − | 169.835i | 0.370849 | − | 0.832525i | ||||
\(205\) | 59.6461 | + | 153.651i | 0.290956 | + | 0.749517i | ||||
\(206\) | −498.643 | −2.42060 | ||||||||
\(207\) | 15.6705 | − | 296.902i | 0.0757028 | − | 1.43431i | ||||
\(208\) | 3.45214 | − | 3.45214i | 0.0165968 | − | 0.0165968i | ||||
\(209\) | − | 279.552i | − | 1.33757i | ||||||
\(210\) | 308.224 | − | 140.420i | 1.46773 | − | 0.668666i | ||||
\(211\) | −4.27938 | −0.0202814 | −0.0101407 | − | 0.999949i | \(-0.503228\pi\) | ||||
−0.0101407 | + | 0.999949i | \(0.503228\pi\) | |||||||
\(212\) | 166.850 | + | 166.850i | 0.787031 | + | 0.787031i | ||||
\(213\) | 109.376 | − | 41.9623i | 0.513503 | − | 0.197006i | ||||
\(214\) | − | 406.609i | − | 1.90004i | ||||||
\(215\) | −3.56634 | + | 8.09202i | −0.0165876 | + | 0.0376373i | ||||
\(216\) | 199.282 | − | 64.6280i | 0.922602 | − | 0.299204i | ||||
\(217\) | −86.4788 | − | 167.637i | −0.398520 | − | 0.772522i | ||||
\(218\) | 208.074 | − | 208.074i | 0.954466 | − | 0.954466i | ||||
\(219\) | 198.094 | + | 88.2411i | 0.904538 | + | 0.402928i | ||||
\(220\) | −129.465 | − | 333.509i | −0.588480 | − | 1.51595i | ||||
\(221\) | − | 79.7452i | − | 0.360838i | ||||||
\(222\) | −102.379 | − | 266.854i | −0.461166 | − | 1.20205i | ||||
\(223\) | −34.9829 | + | 34.9829i | −0.156874 | + | 0.156874i | −0.781180 | − | 0.624306i | \(-0.785382\pi\) |
0.624306 | + | 0.781180i | \(0.285382\pi\) | |||||||
\(224\) | 219.701 | + | 70.1671i | 0.980808 | + | 0.313246i | ||||
\(225\) | 21.9158 | − | 223.930i | 0.0974035 | − | 0.995245i | ||||
\(226\) | 448.854 | 1.98608 | ||||||||
\(227\) | 23.2602 | − | 23.2602i | 0.102468 | − | 0.102468i | −0.654014 | − | 0.756482i | \(-0.726916\pi\) |
0.756482 | + | 0.654014i | \(0.226916\pi\) | |||||||
\(228\) | −448.997 | + | 172.258i | −1.96929 | + | 0.755519i | ||||
\(229\) | −91.1105 | −0.397862 | −0.198931 | − | 0.980013i | \(-0.563747\pi\) | ||||
−0.198931 | + | 0.980013i | \(0.563747\pi\) | |||||||
\(230\) | 192.815 | + | 496.700i | 0.838326 | + | 2.15957i | ||||
\(231\) | −156.119 | + | 175.084i | −0.675840 | + | 0.757938i | ||||
\(232\) | 58.3524 | − | 58.3524i | 0.251519 | − | 0.251519i | ||||
\(233\) | −90.6015 | + | 90.6015i | −0.388847 | + | 0.388847i | −0.874276 | − | 0.485429i | \(-0.838664\pi\) |
0.485429 | + | 0.874276i | \(0.338664\pi\) | |||||||
\(234\) | 177.881 | − | 160.046i | 0.760177 | − | 0.683956i | ||||
\(235\) | −382.495 | − | 168.574i | −1.62764 | − | 0.717338i | ||||
\(236\) | 449.702 | 1.90552 | ||||||||
\(237\) | −47.1673 | + | 18.0958i | −0.199018 | + | 0.0763535i | ||||
\(238\) | 194.158 | − | 100.160i | 0.815789 | − | 0.420840i | ||||
\(239\) | 406.988 | 1.70288 | 0.851439 | − | 0.524454i | \(-0.175731\pi\) | ||||
0.851439 | + | 0.524454i | \(0.175731\pi\) | |||||||
\(240\) | 6.58147 | − | 5.96879i | 0.0274228 | − | 0.0248700i | ||||
\(241\) | − | 117.108i | − | 0.485924i | −0.970036 | − | 0.242962i | \(-0.921881\pi\) | ||
0.970036 | − | 0.242962i | \(-0.0781191\pi\) | |||||||
\(242\) | 8.61911 | + | 8.61911i | 0.0356161 | + | 0.0356161i | ||||
\(243\) | −234.778 | + | 62.6752i | −0.966166 | + | 0.257923i | ||||
\(244\) | −90.7749 | −0.372028 | ||||||||
\(245\) | 237.505 | + | 60.1360i | 0.969408 | + | 0.245453i | ||||
\(246\) | −129.805 | + | 291.401i | −0.527662 | + | 1.18456i | ||||
\(247\) | −145.854 | + | 145.854i | −0.590501 | + | 0.590501i | ||||
\(248\) | 147.848 | + | 147.848i | 0.596160 | + | 0.596160i | ||||
\(249\) | −54.0984 | + | 121.446i | −0.217263 | + | 0.487736i | ||||
\(250\) | 128.926 | + | 382.051i | 0.515705 | + | 1.52820i | ||||
\(251\) | −127.808 | −0.509195 | −0.254597 | − | 0.967047i | \(-0.581943\pi\) | ||||
−0.254597 | + | 0.967047i | \(0.581943\pi\) | |||||||
\(252\) | 377.407 | + | 142.862i | 1.49765 | + | 0.566913i | ||||
\(253\) | −260.933 | − | 260.933i | −1.03136 | − | 1.03136i | ||||
\(254\) | −786.070 | −3.09477 | ||||||||
\(255\) | 7.07648 | − | 144.957i | 0.0277509 | − | 0.568459i | ||||
\(256\) | −240.473 | −0.939346 | ||||||||
\(257\) | 100.099 | − | 100.099i | 0.389491 | − | 0.389491i | −0.485015 | − | 0.874506i | \(-0.661186\pi\) |
0.874506 | + | 0.485015i | \(0.161186\pi\) | |||||||
\(258\) | −15.9796 | + | 6.13059i | −0.0619364 | + | 0.0237620i | ||||
\(259\) | 62.8998 | − | 196.946i | 0.242856 | − | 0.760410i | ||||
\(260\) | −106.458 | + | 241.553i | −0.409453 | + | 0.929049i | ||||
\(261\) | −71.1566 | + | 64.0218i | −0.272631 | + | 0.245294i | ||||
\(262\) | −163.439 | − | 163.439i | −0.623814 | − | 0.623814i | ||||
\(263\) | 96.5525 | − | 96.5525i | 0.367120 | − | 0.367120i | −0.499306 | − | 0.866426i | \(-0.666412\pi\) |
0.866426 | + | 0.499306i | \(0.166412\pi\) | |||||||
\(264\) | 105.805 | − | 237.523i | 0.400776 | − | 0.899708i | ||||
\(265\) | 168.547 | + | 74.2824i | 0.636025 | + | 0.280311i | ||||
\(266\) | −538.306 | − | 171.922i | −2.02371 | − | 0.646323i | ||||
\(267\) | −198.557 | + | 76.1767i | −0.743660 | + | 0.285306i | ||||
\(268\) | −39.3586 | − | 39.3586i | −0.146860 | − | 0.146860i | ||||
\(269\) | 213.738i | 0.794565i | 0.917696 | + | 0.397282i | \(0.130047\pi\) | ||||
−0.917696 | + | 0.397282i | \(0.869953\pi\) | |||||||
\(270\) | 337.546 | − | 275.138i | 1.25017 | − | 1.01903i | ||||
\(271\) | − | 525.042i | − | 1.93743i | −0.248184 | − | 0.968713i | \(-0.579834\pi\) | ||
0.248184 | − | 0.968713i | \(-0.420166\pi\) | |||||||
\(272\) | 4.05241 | − | 4.05241i | 0.0148986 | − | 0.0148986i | ||||
\(273\) | 172.802 | − | 9.89457i | 0.632974 | − | 0.0362439i | ||||
\(274\) | − | 260.567i | − | 0.950974i | ||||||
\(275\) | −188.420 | − | 206.118i | −0.685164 | − | 0.749520i | ||||
\(276\) | −258.308 | + | 579.879i | −0.935897 | + | 2.10101i | ||||
\(277\) | −122.242 | + | 122.242i | −0.441307 | + | 0.441307i | −0.892451 | − | 0.451144i | \(-0.851016\pi\) |
0.451144 | + | 0.892451i | \(0.351016\pi\) | |||||||
\(278\) | −94.5532 | − | 94.5532i | −0.340120 | − | 0.340120i | ||||
\(279\) | −162.213 | − | 180.290i | −0.581407 | − | 0.646200i | ||||
\(280\) | −271.066 | + | 16.5962i | −0.968093 | + | 0.0592720i | ||||
\(281\) | − | 262.680i | − | 0.934803i | −0.884045 | − | 0.467401i | \(-0.845190\pi\) | ||
0.884045 | − | 0.467401i | \(-0.154810\pi\) | |||||||
\(282\) | −289.782 | − | 755.326i | −1.02759 | − | 2.67846i | ||||
\(283\) | −266.792 | + | 266.792i | −0.942728 | + | 0.942728i | −0.998446 | − | 0.0557189i | \(-0.982255\pi\) |
0.0557189 | + | 0.998446i | \(0.482255\pi\) | |||||||
\(284\) | −250.130 | −0.880740 | ||||||||
\(285\) | −278.069 | + | 252.183i | −0.975680 | + | 0.884852i | ||||
\(286\) | − | 296.989i | − | 1.03842i | ||||||
\(287\) | −205.072 | + | 105.790i | −0.714536 | + | 0.368607i | ||||
\(288\) | 296.117 | + | 15.6291i | 1.02818 | + | 0.0542676i | ||||
\(289\) | 195.389i | 0.676085i | ||||||||
\(290\) | 69.1790 | − | 156.967i | 0.238548 | − | 0.541266i | ||||
\(291\) | −197.178 | + | 442.647i | −0.677586 | + | 1.52112i | ||||
\(292\) | −327.407 | − | 327.407i | −1.12126 | − | 1.12126i | ||||
\(293\) | 284.626 | + | 284.626i | 0.971421 | + | 0.971421i | 0.999603 | − | 0.0281818i | \(-0.00897172\pi\) |
−0.0281818 | + | 0.999603i | \(0.508972\pi\) | |||||||
\(294\) | 241.130 | + | 408.298i | 0.820169 | + | 1.38877i | ||||
\(295\) | 327.241 | − | 127.032i | 1.10929 | − | 0.430618i | ||||
\(296\) | 229.171i | 0.774227i | ||||||||
\(297\) | −137.074 | + | 268.653i | −0.461529 | + | 0.904555i | ||||
\(298\) | −143.489 | − | 143.489i | −0.481507 | − | 0.481507i | ||||
\(299\) | 272.279i | 0.910632i | ||||||||
\(300\) | −214.949 | + | 429.636i | −0.716497 | + | 1.43212i | ||||
\(301\) | −11.7934 | − | 3.76652i | −0.0391807 | − | 0.0125134i | ||||
\(302\) | 47.0815 | + | 47.0815i | 0.155899 | + | 0.155899i | ||||
\(303\) | 59.0445 | + | 153.902i | 0.194867 | + | 0.507926i | ||||
\(304\) | −14.8237 | −0.0487621 | ||||||||
\(305\) | −66.0555 | + | 25.6422i | −0.216575 | + | 0.0840727i | ||||
\(306\) | 208.812 | − | 187.875i | 0.682392 | − | 0.613970i | ||||
\(307\) | 250.714 | + | 250.714i | 0.816657 | + | 0.816657i | 0.985622 | − | 0.168965i | \(-0.0540424\pi\) |
−0.168965 | + | 0.985622i | \(0.554042\pi\) | |||||||
\(308\) | 445.121 | − | 229.624i | 1.44520 | − | 0.745532i | ||||
\(309\) | −423.619 | − | 188.701i | −1.37093 | − | 0.610684i | ||||
\(310\) | 397.708 | + | 175.279i | 1.28293 | + | 0.565417i | ||||
\(311\) | 296.319 | 0.952794 | 0.476397 | − | 0.879230i | \(-0.341943\pi\) | ||||
0.476397 | + | 0.879230i | \(0.341943\pi\) | |||||||
\(312\) | −179.128 | + | 68.7226i | −0.574128 | + | 0.220265i | ||||
\(313\) | 195.491 | − | 195.491i | 0.624573 | − | 0.624573i | −0.322124 | − | 0.946697i | \(-0.604397\pi\) |
0.946697 | + | 0.322124i | \(0.104397\pi\) | |||||||
\(314\) | − | 972.836i | − | 3.09820i | ||||||
\(315\) | 314.989 | − | 2.65166i | 0.999965 | − | 0.00841798i | ||||
\(316\) | 107.866 | 0.341348 | ||||||||
\(317\) | 43.8360 | + | 43.8360i | 0.138284 | + | 0.138284i | 0.772860 | − | 0.634576i | \(-0.218825\pi\) |
−0.634576 | + | 0.772860i | \(0.718825\pi\) | |||||||
\(318\) | 127.692 | + | 332.835i | 0.401549 | + | 1.04665i | ||||
\(319\) | 118.802i | 0.372420i | ||||||||
\(320\) | −484.344 | + | 188.018i | −1.51357 | + | 0.587557i | ||||
\(321\) | 153.873 | − | 345.432i | 0.479356 | − | 1.07611i | ||||
\(322\) | −662.925 | + | 341.982i | −2.05877 | + | 1.06206i | ||||
\(323\) | −171.215 | + | 171.215i | −0.530078 | + | 0.530078i | ||||
\(324\) | 515.956 | + | 54.6165i | 1.59246 | + | 0.168569i | ||||
\(325\) | −9.23369 | + | 205.846i | −0.0284113 | + | 0.633374i | ||||
\(326\) | 89.0709i | 0.273224i | ||||||||
\(327\) | 255.509 | − | 98.0263i | 0.781373 | − | 0.299775i | ||||
\(328\) | 180.863 | − | 180.863i | 0.551412 | − | 0.551412i | ||||
\(329\) | 178.037 | − | 557.453i | 0.541145 | − | 1.69438i | ||||
\(330\) | 26.3544 | − | 539.852i | 0.0798617 | − | 1.63591i | ||||
\(331\) | −452.094 | −1.36584 | −0.682922 | − | 0.730492i | \(-0.739291\pi\) | ||||
−0.682922 | + | 0.730492i | \(0.739291\pi\) | |||||||
\(332\) | 200.725 | − | 200.725i | 0.604593 | − | 0.604593i | ||||
\(333\) | 14.0103 | − | 265.448i | 0.0420731 | − | 0.797140i | ||||
\(334\) | 693.061 | 2.07503 | ||||||||
\(335\) | −39.7587 | − | 17.5226i | −0.118683 | − | 0.0523062i | ||||
\(336\) | 9.28408 | + | 8.27845i | 0.0276312 | + | 0.0246383i | ||||
\(337\) | 203.621 | − | 203.621i | 0.604218 | − | 0.604218i | −0.337211 | − | 0.941429i | \(-0.609484\pi\) |
0.941429 | + | 0.337211i | \(0.109484\pi\) | |||||||
\(338\) | 230.529 | − | 230.529i | 0.682037 | − | 0.682037i | ||||
\(339\) | 381.321 | + | 169.860i | 1.12484 | + | 0.501061i | ||||
\(340\) | −124.969 | + | 283.554i | −0.367556 | + | 0.833984i | ||||
\(341\) | −301.010 | −0.882726 | ||||||||
\(342\) | −725.539 | − | 38.2940i | −2.12146 | − | 0.111971i | ||||
\(343\) | −48.5462 | + | 339.547i | −0.141534 | + | 0.989933i | ||||
\(344\) | 13.7231 | 0.0398927 | ||||||||
\(345\) | −24.1617 | + | 494.936i | −0.0700338 | + | 1.43460i | ||||
\(346\) | 90.5940i | 0.261832i | ||||||||
\(347\) | 358.869 | + | 358.869i | 1.03421 | + | 1.03421i | 0.999394 | + | 0.0348116i | \(0.0110831\pi\) |
0.0348116 | + | 0.999394i | \(0.488917\pi\) | |||||||
\(348\) | 190.812 | − | 73.2051i | 0.548310 | − | 0.210360i | ||||
\(349\) | 51.4939 | 0.147547 | 0.0737735 | − | 0.997275i | \(-0.476496\pi\) | ||||
0.0737735 | + | 0.997275i | \(0.476496\pi\) | |||||||
\(350\) | −512.777 | + | 236.062i | −1.46508 | + | 0.674462i | ||||
\(351\) | 211.684 | − | 68.6501i | 0.603089 | − | 0.195584i | ||||
\(352\) | 260.244 | − | 260.244i | 0.739329 | − | 0.739329i | ||||
\(353\) | 212.052 | + | 212.052i | 0.600714 | + | 0.600714i | 0.940502 | − | 0.339788i | \(-0.110355\pi\) |
−0.339788 | + | 0.940502i | \(0.610355\pi\) | |||||||
\(354\) | 620.616 | + | 276.454i | 1.75315 | + | 0.780944i | ||||
\(355\) | −182.016 | + | 70.6570i | −0.512721 | + | 0.199034i | ||||
\(356\) | 454.077 | 1.27550 | ||||||||
\(357\) | 202.849 | − | 11.6151i | 0.568205 | − | 0.0325352i | ||||
\(358\) | 359.910 | + | 359.910i | 1.00534 | + | 1.00534i | ||||
\(359\) | 194.091 | 0.540643 | 0.270321 | − | 0.962770i | \(-0.412870\pi\) | ||||
0.270321 | + | 0.962770i | \(0.412870\pi\) | |||||||
\(360\) | −331.708 | + | 109.025i | −0.921412 | + | 0.302847i | ||||
\(361\) | 265.304 | 0.734915 | ||||||||
\(362\) | 134.124 | − | 134.124i | 0.370508 | − | 0.370508i | ||||
\(363\) | 4.06058 | + | 10.5840i | 0.0111862 | + | 0.0291571i | ||||
\(364\) | −352.042 | − | 112.434i | −0.967148 | − | 0.308883i | ||||
\(365\) | −330.735 | − | 145.763i | −0.906123 | − | 0.399350i | ||||
\(366\) | −125.275 | − | 55.8038i | −0.342281 | − | 0.152469i | ||||
\(367\) | −291.230 | − | 291.230i | −0.793542 | − | 0.793542i | 0.188526 | − | 0.982068i | \(-0.439629\pi\) |
−0.982068 | + | 0.188526i | \(0.939629\pi\) | |||||||
\(368\) | −13.8364 | + | 13.8364i | −0.0375989 | + | 0.0375989i | ||||
\(369\) | −220.550 | + | 198.436i | −0.597696 | + | 0.537766i | ||||
\(370\) | 172.388 | + | 444.079i | 0.465913 | + | 1.20021i | ||||
\(371\) | −78.4520 | + | 245.642i | −0.211461 | + | 0.662107i | ||||
\(372\) | 185.480 | + | 483.461i | 0.498603 | + | 1.29963i | ||||
\(373\) | 39.6194 | + | 39.6194i | 0.106218 | + | 0.106218i | 0.758219 | − | 0.652000i | \(-0.226070\pi\) |
−0.652000 | + | 0.758219i | \(0.726070\pi\) | |||||||
\(374\) | − | 348.630i | − | 0.932165i | ||||||
\(375\) | −35.0511 | + | 373.358i | −0.0934695 | + | 0.995622i | ||||
\(376\) | 648.665i | 1.72517i | ||||||||
\(377\) | 61.9839 | − | 61.9839i | 0.164414 | − | 0.164414i | ||||
\(378\) | 433.019 | + | 429.169i | 1.14555 | + | 1.13537i | ||||
\(379\) | 391.187i | 1.03216i | 0.856541 | + | 0.516078i | \(0.172609\pi\) | ||||
−0.856541 | + | 0.516078i | \(0.827391\pi\) | |||||||
\(380\) | 747.188 | − | 290.052i | 1.96629 | − | 0.763296i | ||||
\(381\) | −667.801 | − | 297.473i | −1.75276 | − | 0.780769i | ||||
\(382\) | −20.5199 | + | 20.5199i | −0.0537170 | + | 0.0537170i | ||||
\(383\) | −6.31835 | − | 6.31835i | −0.0164970 | − | 0.0164970i | 0.698810 | − | 0.715307i | \(-0.253713\pi\) |
−0.715307 | + | 0.698810i | \(0.753713\pi\) | |||||||
\(384\) | −557.401 | − | 248.295i | −1.45157 | − | 0.646602i | ||||
\(385\) | 259.043 | − | 292.832i | 0.672839 | − | 0.760603i | ||||
\(386\) | − | 438.422i | − | 1.13581i | ||||||
\(387\) | −15.8954 | − | 0.838958i | −0.0410733 | − | 0.00216785i | ||||
\(388\) | 731.601 | − | 731.601i | 1.88557 | − | 1.88557i | ||||
\(389\) | −234.607 | −0.603103 | −0.301551 | − | 0.953450i | \(-0.597504\pi\) | ||||
−0.301551 | + | 0.953450i | \(0.597504\pi\) | |||||||
\(390\) | −295.413 | + | 267.912i | −0.757468 | + | 0.686955i | ||||
\(391\) | 319.624i | 0.817452i | ||||||||
\(392\) | −63.2462 | − | 374.906i | −0.161342 | − | 0.956392i | ||||
\(393\) | −76.9985 | − | 200.699i | −0.195925 | − | 0.510685i | ||||
\(394\) | − | 516.196i | − | 1.31014i | ||||||
\(395\) | 78.4923 | − | 30.4701i | 0.198715 | − | 0.0771394i | ||||
\(396\) | 478.717 | − | 430.717i | 1.20888 | − | 1.08767i | ||||
\(397\) | 244.142 | + | 244.142i | 0.614967 | + | 0.614967i | 0.944236 | − | 0.329269i | \(-0.106802\pi\) |
−0.329269 | + | 0.944236i | \(0.606802\pi\) | |||||||
\(398\) | −278.335 | − | 278.335i | −0.699333 | − | 0.699333i | ||||
\(399\) | −392.254 | − | 349.767i | −0.983094 | − | 0.876608i | ||||
\(400\) | −10.9297 | + | 9.99126i | −0.0273243 | + | 0.0249782i | ||||
\(401\) | 255.719i | 0.637703i | 0.947805 | + | 0.318851i | \(0.103297\pi\) | ||||
−0.947805 | + | 0.318851i | \(0.896703\pi\) | |||||||
\(402\) | −30.1215 | − | 78.5128i | −0.0749292 | − | 0.195306i | ||||
\(403\) | 157.049 | + | 157.049i | 0.389700 | + | 0.389700i | ||||
\(404\) | − | 351.955i | − | 0.871175i | ||||||
\(405\) | 390.881 | − | 106.004i | 0.965139 | − | 0.261739i | ||||
\(406\) | 228.766 | + | 73.0621i | 0.563462 | + | 0.179956i | ||||
\(407\) | −233.290 | − | 233.290i | −0.573194 | − | 0.573194i | ||||
\(408\) | −210.275 | + | 80.6723i | −0.515380 | + | 0.197726i | ||||
\(409\) | −549.262 | −1.34294 | −0.671469 | − | 0.741033i | \(-0.734336\pi\) | ||||
−0.671469 | + | 0.741033i | \(0.734336\pi\) | |||||||
\(410\) | 214.420 | − | 486.519i | 0.522976 | − | 1.18663i | ||||
\(411\) | 98.6064 | − | 221.363i | 0.239918 | − | 0.538596i | ||||
\(412\) | 700.151 | + | 700.151i | 1.69940 | + | 1.69940i | ||||
\(413\) | 225.309 | + | 436.756i | 0.545541 | + | 1.05752i | ||||
\(414\) | −712.960 | + | 641.473i | −1.72213 | + | 1.54945i | ||||
\(415\) | 89.3634 | − | 202.765i | 0.215333 | − | 0.488591i | ||||
\(416\) | −271.559 | −0.652787 | ||||||||
\(417\) | −44.5453 | − | 116.109i | −0.106823 | − | 0.278439i | ||||
\(418\) | −637.643 | + | 637.643i | −1.52546 | + | 1.52546i | ||||
\(419\) | 476.333i | 1.13683i | 0.822741 | + | 0.568417i | \(0.192444\pi\) | ||||
−0.822741 | + | 0.568417i | \(0.807556\pi\) | |||||||
\(420\) | −629.947 | − | 235.616i | −1.49987 | − | 0.560990i | ||||
\(421\) | −736.969 | −1.75052 | −0.875261 | − | 0.483652i | \(-0.839310\pi\) | ||||
−0.875261 | + | 0.483652i | \(0.839310\pi\) | |||||||
\(422\) | 9.76103 | + | 9.76103i | 0.0231304 | + | 0.0231304i | ||||
\(423\) | 39.6560 | − | 751.345i | 0.0937494 | − | 1.77623i | ||||
\(424\) | − | 285.835i | − | 0.674138i | ||||||
\(425\) | −10.8393 | + | 241.640i | −0.0255041 | + | 0.568564i | ||||
\(426\) | −345.195 | − | 153.767i | −0.810316 | − | 0.360956i | ||||
\(427\) | −45.4798 | − | 88.1615i | −0.106510 | − | 0.206467i | ||||
\(428\) | −570.926 | + | 570.926i | −1.33394 | + | 1.33394i | ||||
\(429\) | 112.390 | − | 252.305i | 0.261980 | − | 0.588123i | ||||
\(430\) | 26.5921 | − | 10.3228i | 0.0618420 | − | 0.0240066i | ||||
\(431\) | 95.9393i | 0.222597i | 0.993787 | + | 0.111299i | \(0.0355010\pi\) | ||||
−0.993787 | + | 0.111299i | \(0.964499\pi\) | |||||||
\(432\) | 14.2457 | + | 7.26856i | 0.0329762 | + | 0.0168254i | ||||
\(433\) | −273.161 | + | 273.161i | −0.630857 | + | 0.630857i | −0.948283 | − | 0.317426i | \(-0.897182\pi\) |
0.317426 | + | 0.948283i | \(0.397182\pi\) | |||||||
\(434\) | −185.118 | + | 579.625i | −0.426539 | + | 1.33554i | ||||
\(435\) | 118.172 | − | 107.171i | 0.271659 | − | 0.246370i | ||||
\(436\) | −584.318 | −1.34018 | ||||||||
\(437\) | 584.591 | − | 584.591i | 1.33774 | − | 1.33774i | ||||
\(438\) | −250.568 | − | 653.114i | −0.572073 | − | 1.49113i | ||||
\(439\) | −396.491 | −0.903169 | −0.451585 | − | 0.892228i | \(-0.649141\pi\) | ||||
−0.451585 | + | 0.892228i | \(0.649141\pi\) | |||||||
\(440\) | −174.775 | + | 396.565i | −0.397217 | + | 0.901284i | ||||
\(441\) | 50.3379 | + | 438.118i | 0.114145 | + | 0.993464i | ||||
\(442\) | −181.894 | + | 181.894i | −0.411526 | + | 0.411526i | ||||
\(443\) | 214.203 | − | 214.203i | 0.483528 | − | 0.483528i | −0.422728 | − | 0.906256i | \(-0.638928\pi\) |
0.906256 | + | 0.422728i | \(0.138928\pi\) | |||||||
\(444\) | −230.942 | + | 518.446i | −0.520140 | + | 1.16767i | ||||
\(445\) | 330.425 | − | 128.268i | 0.742527 | − | 0.288243i | ||||
\(446\) | 159.588 | 0.357821 | ||||||||
\(447\) | −67.5996 | − | 176.201i | −0.151230 | − | 0.394185i | ||||
\(448\) | −333.475 | − | 646.433i | −0.744363 | − | 1.44293i | ||||
\(449\) | −147.297 | −0.328055 | −0.164027 | − | 0.986456i | \(-0.552449\pi\) | ||||
−0.164027 | + | 0.986456i | \(0.552449\pi\) | |||||||
\(450\) | −560.761 | + | 460.783i | −1.24614 | + | 1.02396i | ||||
\(451\) | 368.227i | 0.816468i | ||||||||
\(452\) | −630.242 | − | 630.242i | −1.39434 | − | 1.39434i | ||||
\(453\) | 22.1807 | + | 57.8148i | 0.0489641 | + | 0.127627i | ||||
\(454\) | −106.110 | −0.233723 | ||||||||
\(455\) | −287.936 | + | 17.6290i | −0.632826 | + | 0.0387451i | ||||
\(456\) | 532.142 | + | 237.043i | 1.16698 | + | 0.519832i | ||||
\(457\) | 18.8754 | − | 18.8754i | 0.0413028 | − | 0.0413028i | −0.686154 | − | 0.727457i | \(-0.740702\pi\) |
0.727457 | + | 0.686154i | \(0.240702\pi\) | |||||||
\(458\) | 207.818 | + | 207.818i | 0.453751 | + | 0.453751i | ||||
\(459\) | 248.492 | − | 80.5871i | 0.541378 | − | 0.175571i | ||||
\(460\) | 426.690 | − | 968.158i | 0.927586 | − | 2.10469i | ||||
\(461\) | 191.433 | 0.415256 | 0.207628 | − | 0.978208i | \(-0.433426\pi\) | ||||
0.207628 | + | 0.978208i | \(0.433426\pi\) | |||||||
\(462\) | 755.455 | − | 43.2571i | 1.63518 | − | 0.0936300i | ||||
\(463\) | 362.672 | + | 362.672i | 0.783309 | + | 0.783309i | 0.980388 | − | 0.197079i | \(-0.0631454\pi\) |
−0.197079 | + | 0.980388i | \(0.563145\pi\) | |||||||
\(464\) | 6.29967 | 0.0135769 | ||||||||
\(465\) | 271.540 | + | 299.412i | 0.583956 | + | 0.643897i | ||||
\(466\) | 413.314 | 0.886939 | ||||||||
\(467\) | −61.5519 | + | 61.5519i | −0.131803 | + | 0.131803i | −0.769931 | − | 0.638128i | \(-0.779709\pi\) |
0.638128 | + | 0.769931i | \(0.279709\pi\) | |||||||
\(468\) | −474.488 | − | 25.0435i | −1.01386 | − | 0.0535118i | ||||
\(469\) | 18.5061 | − | 57.9448i | 0.0394587 | − | 0.123550i | ||||
\(470\) | 487.941 | + | 1256.96i | 1.03817 | + | 2.67438i | ||||
\(471\) | 368.151 | − | 826.467i | 0.781636 | − | 1.75471i | ||||
\(472\) | −385.197 | − | 385.197i | −0.816094 | − | 0.816094i | ||||
\(473\) | −13.9697 | + | 13.9697i | −0.0295343 | + | 0.0295343i | ||||
\(474\) | 148.861 | + | 66.3104i | 0.314053 | + | 0.139895i | ||||
\(475\) | 461.783 | − | 422.133i | 0.972175 | − | 0.888701i | ||||
\(476\) | −413.256 | − | 131.984i | −0.868184 | − | 0.277277i | ||||
\(477\) | −17.4744 | + | 331.081i | −0.0366340 | + | 0.694089i | ||||
\(478\) | −928.316 | − | 928.316i | −1.94208 | − | 1.94208i | ||||
\(479\) | 572.620i | 1.19545i | 0.801702 | + | 0.597724i | \(0.203928\pi\) | ||||
−0.801702 | + | 0.597724i | \(0.796072\pi\) | |||||||
\(480\) | −493.627 | − | 24.0978i | −1.02839 | − | 0.0502038i | ||||
\(481\) | 243.434i | 0.506099i | ||||||||
\(482\) | −267.116 | + | 267.116i | −0.554183 | + | 0.554183i | ||||
\(483\) | −692.601 | + | 39.6580i | −1.43396 | + | 0.0821078i | ||||
\(484\) | − | 24.2044i | − | 0.0500092i | ||||||
\(485\) | 325.711 | − | 739.038i | 0.671569 | − | 1.52379i | ||||
\(486\) | 678.475 | + | 392.558i | 1.39604 | + | 0.807732i | ||||
\(487\) | 358.153 | − | 358.153i | 0.735427 | − | 0.735427i | −0.236262 | − | 0.971689i | \(-0.575922\pi\) |
0.971689 | + | 0.236262i | \(0.0759224\pi\) | |||||||
\(488\) | 77.7540 | + | 77.7540i | 0.159332 | + | 0.159332i | ||||
\(489\) | −33.7071 | + | 75.6696i | −0.0689307 | + | 0.154744i | ||||
\(490\) | −404.569 | − | 678.903i | −0.825651 | − | 1.38552i | ||||
\(491\) | − | 644.045i | − | 1.31170i | −0.754891 | − | 0.655850i | \(-0.772310\pi\) | ||
0.754891 | − | 0.655850i | \(-0.227690\pi\) | |||||||
\(492\) | 591.421 | − | 226.899i | 1.20207 | − | 0.461177i | ||||
\(493\) | 72.7618 | − | 72.7618i | 0.147590 | − | 0.147590i | ||||
\(494\) | 665.369 | 1.34690 | ||||||||
\(495\) | 226.685 | − | 448.654i | 0.457950 | − | 0.906372i | ||||
\(496\) | 15.9615i | 0.0321804i | ||||||||
\(497\) | −125.319 | − | 242.929i | −0.252152 | − | 0.488791i | ||||
\(498\) | 400.408 | − | 153.617i | 0.804032 | − | 0.308468i | ||||
\(499\) | 530.323i | 1.06277i | 0.847130 | + | 0.531386i | \(0.178328\pi\) | ||||
−0.847130 | + | 0.531386i | \(0.821672\pi\) | |||||||
\(500\) | 355.416 | − | 717.470i | 0.710831 | − | 1.43494i | ||||
\(501\) | 588.786 | + | 262.275i | 1.17522 | + | 0.523503i | ||||
\(502\) | 291.523 | + | 291.523i | 0.580723 | + | 0.580723i | ||||
\(503\) | −515.298 | − | 515.298i | −1.02445 | − | 1.02445i | −0.999694 | − | 0.0247567i | \(-0.992119\pi\) |
−0.0247567 | − | 0.999694i | \(-0.507881\pi\) | |||||||
\(504\) | −200.901 | − | 445.641i | −0.398614 | − | 0.884208i | ||||
\(505\) | −99.4205 | − | 256.112i | −0.196872 | − | 0.507152i | ||||
\(506\) | 1190.35i | 2.35247i | ||||||||
\(507\) | 283.083 | − | 108.605i | 0.558349 | − | 0.214211i | ||||
\(508\) | 1103.73 | + | 1103.73i | 2.17270 | + | 2.17270i | ||||
\(509\) | − | 648.378i | − | 1.27383i | −0.770935 | − | 0.636914i | \(-0.780211\pi\) | ||
0.770935 | − | 0.636914i | \(-0.219789\pi\) | |||||||
\(510\) | −346.780 | + | 314.498i | −0.679960 | + | 0.616662i | ||||
\(511\) | 153.945 | − | 482.017i | 0.301261 | − | 0.943282i | ||||
\(512\) | −26.7994 | − | 26.7994i | −0.0523425 | − | 0.0523425i | ||||
\(513\) | −601.886 | − | 307.098i | −1.17327 | − | 0.598632i | ||||
\(514\) | −456.642 | −0.888408 | ||||||||
\(515\) | 707.269 | + | 311.710i | 1.37334 | + | 0.605262i | ||||
\(516\) | 31.0452 | + | 13.8291i | 0.0601652 | + | 0.0268006i | ||||
\(517\) | −660.323 | − | 660.323i | −1.27722 | − | 1.27722i | ||||
\(518\) | −592.694 | + | 305.752i | −1.14420 | + | 0.590256i | ||||
\(519\) | −34.2835 | + | 76.9636i | −0.0660568 | + | 0.148292i | ||||
\(520\) | 298.092 | − | 115.717i | 0.573253 | − | 0.222532i | ||||
\(521\) | 195.439 | 0.375123 | 0.187561 | − | 0.982253i | \(-0.439942\pi\) | ||||
0.187561 | + | 0.982253i | \(0.439942\pi\) | |||||||
\(522\) | 308.334 | + | 16.2739i | 0.590679 | + | 0.0311761i | ||||
\(523\) | 516.575 | − | 516.575i | 0.987715 | − | 0.987715i | −0.0122109 | − | 0.999925i | \(-0.503887\pi\) |
0.999925 | + | 0.0122109i | \(0.00388694\pi\) | |||||||
\(524\) | 458.975i | 0.875906i | ||||||||
\(525\) | −524.960 | + | 6.49413i | −0.999923 | + | 0.0123698i | ||||
\(526\) | −440.462 | −0.837380 | ||||||||
\(527\) | 184.357 | + | 184.357i | 0.349824 | + | 0.349824i | ||||
\(528\) | 18.5327 | − | 7.11008i | 0.0350997 | − | 0.0134661i | ||||
\(529\) | − | 562.311i | − | 1.06297i | ||||||
\(530\) | −215.011 | − | 553.879i | −0.405682 | − | 1.04506i | ||||
\(531\) | 422.622 | + | 469.720i | 0.795899 | + | 0.884595i | ||||
\(532\) | 514.446 | + | 997.242i | 0.967003 | + | 1.87451i | ||||
\(533\) | 192.119 | − | 192.119i | 0.360448 | − | 0.360448i | ||||
\(534\) | 626.653 | + | 279.143i | 1.17351 | + | 0.522740i | ||||
\(535\) | −254.178 | + | 576.730i | −0.475099 | + | 1.07800i | ||||
\(536\) | 67.4259i | 0.125795i | ||||||||
\(537\) | 169.559 | + | 441.960i | 0.315752 | + | 0.823018i | ||||
\(538\) | 487.524 | − | 487.524i | 0.906179 | − | 0.906179i | ||||
\(539\) | 446.026 | + | 317.261i | 0.827507 | + | 0.588610i | ||||
\(540\) | −860.279 | − | 87.6283i | −1.59311 | − | 0.162275i | ||||
\(541\) | −165.071 | −0.305123 | −0.152561 | − | 0.988294i | \(-0.548752\pi\) | ||||
−0.152561 | + | 0.988294i | \(0.548752\pi\) | |||||||
\(542\) | −1197.59 | + | 1197.59i | −2.20958 | + | 2.20958i | ||||
\(543\) | 164.701 | − | 63.1875i | 0.303316 | − | 0.116367i | ||||
\(544\) | −318.779 | −0.585990 | ||||||||
\(545\) | −425.199 | + | 165.059i | −0.780182 | + | 0.302860i | ||||
\(546\) | −416.720 | − | 371.583i | −0.763224 | − | 0.680554i | ||||
\(547\) | −259.758 | + | 259.758i | −0.474878 | + | 0.474878i | −0.903489 | − | 0.428611i | \(-0.859003\pi\) |
0.428611 | + | 0.903489i | \(0.359003\pi\) | |||||||
\(548\) | −365.866 | + | 365.866i | −0.667638 | + | 0.667638i | ||||
\(549\) | −85.3086 | − | 94.8155i | −0.155389 | − | 0.172706i | ||||
\(550\) | −40.3678 | + | 899.919i | −0.0733960 | + | 1.63622i | ||||
\(551\) | −266.162 | −0.483053 | ||||||||
\(552\) | 717.956 | − | 275.445i | 1.30064 | − | 0.498994i | ||||
\(553\) | 54.0426 | + | 104.760i | 0.0977263 | + | 0.189440i | ||||
\(554\) | 557.655 | 1.00660 | ||||||||
\(555\) | −21.6020 | + | 442.502i | −0.0389225 | + | 0.797300i | ||||
\(556\) | 265.527i | 0.477567i | ||||||||
\(557\) | −118.212 | − | 118.212i | −0.212230 | − | 0.212230i | 0.592984 | − | 0.805214i | \(-0.297950\pi\) |
−0.805214 | + | 0.592984i | \(0.797950\pi\) | |||||||
\(558\) | −41.2333 | + | 781.229i | −0.0738947 | + | 1.40005i | ||||
\(559\) | 14.5771 | 0.0260772 | ||||||||
\(560\) | −15.5279 | − | 13.7362i | −0.0277283 | − | 0.0245289i | ||||
\(561\) | 131.932 | − | 296.176i | 0.235173 | − | 0.527944i | ||||
\(562\) | −599.158 | + | 599.158i | −1.06612 | + | 1.06612i | ||||
\(563\) | −569.301 | − | 569.301i | −1.01119 | − | 1.01119i | −0.999937 | − | 0.0112552i | \(-0.996417\pi\) |
−0.0112552 | − | 0.999937i | \(-0.503583\pi\) | |||||||
\(564\) | −653.678 | + | 1467.45i | −1.15900 | + | 2.60186i | ||||
\(565\) | −636.649 | − | 280.586i | −1.12681 | − | 0.496612i | ||||
\(566\) | 1217.08 | 2.15031 | ||||||||
\(567\) | 205.459 | + | 528.465i | 0.362361 | + | 0.932038i | ||||
\(568\) | 214.251 | + | 214.251i | 0.377203 | + | 0.377203i | ||||
\(569\) | −602.118 | −1.05820 | −0.529102 | − | 0.848558i | \(-0.677471\pi\) | ||||
−0.529102 | + | 0.848558i | \(0.677471\pi\) | |||||||
\(570\) | 1209.47 | + | 59.0439i | 2.12189 | + | 0.103586i | ||||
\(571\) | −883.761 | −1.54774 | −0.773871 | − | 0.633343i | \(-0.781682\pi\) | ||||
−0.773871 | + | 0.633343i | \(0.781682\pi\) | |||||||
\(572\) | −417.006 | + | 417.006i | −0.729032 | + | 0.729032i | ||||
\(573\) | −25.1979 | + | 9.66720i | −0.0439754 | + | 0.0168712i | ||||
\(574\) | 709.058 | + | 226.456i | 1.23529 | + | 0.394523i | ||||
\(575\) | 37.0092 | − | 825.045i | 0.0643638 | − | 1.43486i | ||||
\(576\) | −625.515 | − | 695.223i | −1.08596 | − | 1.20698i | ||||
\(577\) | −64.3197 | − | 64.3197i | −0.111473 | − | 0.111473i | 0.649170 | − | 0.760643i | \(-0.275116\pi\) |
−0.760643 | + | 0.649170i | \(0.775116\pi\) | |||||||
\(578\) | 445.670 | − | 445.670i | 0.771056 | − | 0.771056i | ||||
\(579\) | 165.912 | − | 372.459i | 0.286550 | − | 0.643280i | ||||
\(580\) | −317.535 | + | 123.264i | −0.547474 | + | 0.212525i | ||||
\(581\) | 295.513 | + | 94.3795i | 0.508627 | + | 0.162443i | ||||
\(582\) | 1459.40 | − | 559.902i | 2.50757 | − | 0.962031i | ||||
\(583\) | 290.972 | + | 290.972i | 0.499094 | + | 0.499094i | ||||
\(584\) | 560.886i | 0.960422i | ||||||||
\(585\) | −352.352 | + | 115.810i | −0.602311 | + | 0.197966i | ||||
\(586\) | − | 1298.43i | − | 2.21576i | ||||||
\(587\) | −512.337 | + | 512.337i | −0.872806 | + | 0.872806i | −0.992777 | − | 0.119971i | \(-0.961720\pi\) |
0.119971 | + | 0.992777i | \(0.461720\pi\) | |||||||
\(588\) | 234.723 | − | 911.870i | 0.399189 | − | 1.55080i | ||||
\(589\) | − | 674.377i | − | 1.14495i | ||||||
\(590\) | −1036.17 | − | 456.666i | −1.75623 | − | 0.774010i | ||||
\(591\) | 195.344 | − | 438.531i | 0.330532 | − | 0.742016i | ||||
\(592\) | −12.3706 | + | 12.3706i | −0.0208962 | + | 0.0208962i | ||||
\(593\) | 195.165 | + | 195.165i | 0.329114 | + | 0.329114i | 0.852250 | − | 0.523135i | \(-0.175238\pi\) |
−0.523135 | + | 0.852250i | \(0.675238\pi\) | |||||||
\(594\) | 925.441 | − | 300.124i | 1.55798 | − | 0.505260i | ||||
\(595\) | −338.003 | + | 20.6944i | −0.568072 | + | 0.0347805i | ||||
\(596\) | 402.950i | 0.676090i | ||||||||
\(597\) | −131.127 | − | 341.788i | −0.219644 | − | 0.572509i | ||||
\(598\) | 621.053 | − | 621.053i | 1.03855 | − | 1.03855i | ||||
\(599\) | −93.4354 | −0.155986 | −0.0779928 | − | 0.996954i | \(-0.524851\pi\) | ||||
−0.0779928 | + | 0.996954i | \(0.524851\pi\) | |||||||
\(600\) | 552.125 | − | 183.892i | 0.920208 | − | 0.306486i | ||||
\(601\) | 47.3325i | 0.0787563i | 0.999224 | + | 0.0393782i | \(0.0125377\pi\) | ||||
−0.999224 | + | 0.0393782i | \(0.987462\pi\) | |||||||
\(602\) | 18.3089 | + | 35.4913i | 0.0304134 | + | 0.0589557i | ||||
\(603\) | 4.12207 | − | 78.0990i | 0.00683593 | − | 0.129517i | ||||
\(604\) | − | 132.216i | − | 0.218900i | ||||||
\(605\) | −6.83729 | − | 17.6132i | −0.0113013 | − | 0.0291127i | ||||
\(606\) | 216.364 | − | 485.719i | 0.357036 | − | 0.801516i | ||||
\(607\) | 782.862 | + | 782.862i | 1.28972 | + | 1.28972i | 0.934954 | + | 0.354769i | \(0.115440\pi\) |
0.354769 | + | 0.934954i | \(0.384560\pi\) | |||||||
\(608\) | 583.046 | + | 583.046i | 0.958957 | + | 0.958957i | ||||
\(609\) | 166.697 | + | 148.641i | 0.273723 | + | 0.244074i | ||||
\(610\) | 209.157 | + | 92.1804i | 0.342881 | + | 0.151115i | ||||
\(611\) | 689.034i | 1.12772i | ||||||||
\(612\) | −556.994 | − | 29.3981i | −0.910120 | − | 0.0480362i | ||||
\(613\) | 587.076 | + | 587.076i | 0.957710 | + | 0.957710i | 0.999141 | − | 0.0414311i | \(-0.0131917\pi\) |
−0.0414311 | + | 0.999141i | \(0.513192\pi\) | |||||||
\(614\) | − | 1143.73i | − | 1.86275i | ||||||
\(615\) | 366.273 | − | 332.176i | 0.595566 | − | 0.540124i | ||||
\(616\) | −577.959 | − | 184.586i | −0.938245 | − | 0.299652i | ||||
\(617\) | −400.922 | − | 400.922i | −0.649793 | − | 0.649793i | 0.303150 | − | 0.952943i | \(-0.401962\pi\) |
−0.952943 | + | 0.303150i | \(0.901962\pi\) | |||||||
\(618\) | 535.833 | + | 1396.67i | 0.867044 | + | 2.25998i | ||||
\(619\) | 382.132 | 0.617338 | 0.308669 | − | 0.951170i | \(-0.400117\pi\) | ||||
0.308669 | + | 0.951170i | \(0.400117\pi\) | |||||||
\(620\) | −312.316 | − | 804.540i | −0.503735 | − | 1.29764i | ||||
\(621\) | −848.443 | + | 275.154i | −1.36625 | + | 0.443082i | ||||
\(622\) | −675.887 | − | 675.887i | −1.08663 | − | 1.08663i | ||||
\(623\) | 227.500 | + | 441.004i | 0.365169 | + | 0.707872i | ||||
\(624\) | −13.3789 | − | 5.95963i | −0.0214405 | − | 0.00955068i | ||||
\(625\) | 55.9588 | − | 622.490i | 0.0895341 | − | 0.995984i | ||||
\(626\) | −891.810 | −1.42462 | ||||||||
\(627\) | −783.009 | + | 300.402i | −1.24882 | + | 0.479111i | ||||
\(628\) | −1365.97 | + | 1365.97i | −2.17512 | + | 2.17512i | ||||
\(629\) | 285.762i | 0.454312i | ||||||||
\(630\) | −724.520 | − | 712.424i | −1.15003 | − | 1.13083i | ||||
\(631\) | 1097.98 | 1.74006 | 0.870031 | − | 0.492997i | \(-0.164099\pi\) | ||||
0.870031 | + | 0.492997i | \(0.164099\pi\) | |||||||
\(632\) | −92.3934 | − | 92.3934i | −0.146192 | − | 0.146192i | ||||
\(633\) | 4.59856 | + | 11.9863i | 0.00726470 | + | 0.0189357i | ||||
\(634\) | − | 199.975i | − | 0.315418i | ||||||
\(635\) | 1114.95 | + | 491.386i | 1.75583 | + | 0.773836i | ||||
\(636\) | 288.043 | − | 646.633i | 0.452898 | − | 1.01672i | ||||
\(637\) | −67.1823 | − | 398.238i | −0.105467 | − | 0.625177i | ||||
\(638\) | 270.981 | − | 270.981i | 0.424735 | − | 0.424735i | ||||
\(639\) | −235.068 | − | 261.264i | −0.367868 | − | 0.408864i | ||||
\(640\) | 930.630 | + | 410.150i | 1.45411 | + | 0.640860i | ||||
\(641\) | − | 137.826i | − | 0.215017i | −0.994204 | − | 0.107509i | \(-0.965713\pi\) | ||
0.994204 | − | 0.107509i | \(-0.0342873\pi\) | |||||||
\(642\) | −1138.89 | + | 436.936i | −1.77397 | + | 0.680585i | ||||
\(643\) | −340.846 | + | 340.846i | −0.530087 | + | 0.530087i | −0.920598 | − | 0.390511i | \(-0.872298\pi\) |
0.390511 | + | 0.920598i | \(0.372298\pi\) | |||||||
\(644\) | 1411.01 | + | 450.640i | 2.19100 | + | 0.699752i | ||||
\(645\) | 26.4976 | + | 1.29355i | 0.0410815 | + | 0.00200551i | ||||
\(646\) | 781.065 | 1.20908 | ||||||||
\(647\) | −192.497 | + | 192.497i | −0.297523 | + | 0.297523i | −0.840043 | − | 0.542520i | \(-0.817470\pi\) |
0.542520 | + | 0.840043i | \(0.317470\pi\) | |||||||
\(648\) | −395.164 | − | 488.729i | −0.609822 | − | 0.754211i | ||||
\(649\) | 784.239 | 1.20838 | ||||||||
\(650\) | 490.586 | − | 448.463i | 0.754748 | − | 0.689943i | ||||
\(651\) | −376.613 | + | 422.362i | −0.578515 | + | 0.648790i | ||||
\(652\) | 125.066 | − | 125.066i | 0.191819 | − | 0.191819i | ||||
\(653\) | −178.554 | + | 178.554i | −0.273436 | + | 0.273436i | −0.830482 | − | 0.557046i | \(-0.811935\pi\) |
0.557046 | + | 0.830482i | \(0.311935\pi\) | |||||||
\(654\) | −806.394 | − | 359.209i | −1.23302 | − | 0.549250i | ||||
\(655\) | 129.652 | + | 333.989i | 0.197942 | + | 0.509907i | ||||
\(656\) | 19.5258 | 0.0297649 | ||||||||
\(657\) | 34.2897 | − | 649.672i | 0.0521913 | − | 0.988846i | ||||
\(658\) | −1677.61 | + | 865.427i | −2.54956 | + | 1.31524i | ||||
\(659\) | 984.529 | 1.49397 | 0.746987 | − | 0.664838i | \(-0.231500\pi\) | ||||
0.746987 | + | 0.664838i | \(0.231500\pi\) | |||||||
\(660\) | −795.018 | + | 721.009i | −1.20457 | + | 1.09244i | ||||
\(661\) | 730.936i | 1.10580i | 0.833247 | + | 0.552901i | \(0.186479\pi\) | ||||
−0.833247 | + | 0.552901i | \(0.813521\pi\) | |||||||
\(662\) | 1031.20 | + | 1031.20i | 1.55771 | + | 1.55771i | ||||
\(663\) | −223.362 | + | 85.6929i | −0.336895 | + | 0.129250i | ||||
\(664\) | −343.865 | −0.517869 | ||||||||
\(665\) | 656.056 | + | 580.356i | 0.986550 | + | 0.872716i | ||||
\(666\) | −637.428 | + | 573.515i | −0.957099 | + | 0.861133i | ||||
\(667\) | −248.435 | + | 248.435i | −0.372467 | + | 0.372467i | ||||
\(668\) | −973.137 | − | 973.137i | −1.45679 | − | 1.45679i | ||||
\(669\) | 135.577 | + | 60.3930i | 0.202656 | + | 0.0902735i | ||||
\(670\) | 50.7193 | + | 130.655i | 0.0757004 | + | 0.195008i | ||||
\(671\) | −158.303 | −0.235921 | ||||||||
\(672\) | −39.5532 | − | 690.770i | −0.0588590 | − | 1.02793i | ||||
\(673\) | −770.416 | − | 770.416i | −1.14475 | − | 1.14475i | −0.987570 | − | 0.157179i | \(-0.949760\pi\) |
−0.157179 | − | 0.987570i | \(-0.550240\pi\) | |||||||
\(674\) | −928.898 | −1.37819 | ||||||||
\(675\) | −650.765 | + | 179.247i | −0.964097 | + | 0.265551i | ||||
\(676\) | −647.377 | −0.957658 | ||||||||
\(677\) | 430.936 | − | 430.936i | 0.636538 | − | 0.636538i | −0.313162 | − | 0.949700i | \(-0.601388\pi\) |
0.949700 | + | 0.313162i | \(0.101388\pi\) | |||||||
\(678\) | −482.331 | − | 1257.21i | −0.711403 | − | 1.85430i | ||||
\(679\) | 1077.08 | + | 343.994i | 1.58628 | + | 0.506618i | ||||
\(680\) | 349.924 | − | 135.838i | 0.514595 | − | 0.199761i | ||||
\(681\) | −90.1453 | − | 40.1553i | −0.132372 | − | 0.0589652i | ||||
\(682\) | 686.586 | + | 686.586i | 1.00672 | + | 1.00672i | ||||
\(683\) | −952.879 | + | 952.879i | −1.39514 | + | 1.39514i | −0.581818 | + | 0.813319i | \(0.697658\pi\) |
−0.813319 | + | 0.581818i | \(0.802342\pi\) | |||||||
\(684\) | 964.971 | + | 1072.51i | 1.41078 | + | 1.56800i | ||||
\(685\) | −162.885 | + | 369.585i | −0.237788 | + | 0.539540i | ||||
\(686\) | 885.219 | − | 663.757i | 1.29041 | − | 0.967576i | ||||
\(687\) | 97.9059 | + | 255.195i | 0.142512 | + | 0.371463i | ||||
\(688\) | 0.740765 | + | 0.740765i | 0.00107669 | + | 0.00107669i | ||||
\(689\) | − | 303.623i | − | 0.440673i | ||||||
\(690\) | 1184.03 | − | 1073.81i | 1.71599 | − | 1.55625i | ||||
\(691\) | − | 428.205i | − | 0.619689i | −0.950787 | − | 0.309844i | \(-0.899723\pi\) | ||
0.950787 | − | 0.309844i | \(-0.100277\pi\) | |||||||
\(692\) | 127.204 | − | 127.204i | 0.183821 | − | 0.183821i | ||||
\(693\) | 658.162 | + | 249.138i | 0.949728 | + | 0.359507i | ||||
\(694\) | − | 1637.12i | − | 2.35897i | ||||||
\(695\) | 75.0064 | + | 193.220i | 0.107923 | + | 0.278014i | ||||
\(696\) | −226.146 | − | 100.737i | −0.324922 | − | 0.144737i | ||||
\(697\) | 225.525 | − | 225.525i | 0.323565 | − | 0.323565i | ||||
\(698\) | −117.455 | − | 117.455i | −0.168273 | − | 0.168273i | ||||
\(699\) | 351.128 | + | 156.410i | 0.502329 | + | 0.223763i | ||||
\(700\) | 1051.46 | + | 388.541i | 1.50208 | + | 0.555058i | ||||
\(701\) | 1086.06i | 1.54929i | 0.632393 | + | 0.774647i | \(0.282073\pi\) | ||||
−0.632393 | + | 0.774647i | \(0.717927\pi\) | |||||||
\(702\) | −639.427 | − | 326.253i | −0.910865 | − | 0.464748i | ||||
\(703\) | 522.659 | − | 522.659i | 0.743469 | − | 0.743469i | ||||
\(704\) | −1160.74 | −1.64877 | ||||||||
\(705\) | −61.1440 | + | 1252.49i | −0.0867290 | + | 1.77659i | ||||
\(706\) | − | 967.358i | − | 1.37020i | ||||||
\(707\) | 341.822 | − | 176.335i | 0.483482 | − | 0.249413i | ||||
\(708\) | −483.243 | − | 1259.59i | −0.682547 | − | 1.77908i | ||||
\(709\) | − | 384.594i | − | 0.542446i | −0.962516 | − | 0.271223i | \(-0.912572\pi\) | ||
0.962516 | − | 0.271223i | \(-0.0874281\pi\) | |||||||
\(710\) | 576.333 | + | 254.003i | 0.811736 | + | 0.357751i | ||||
\(711\) | 101.370 | + | 112.667i | 0.142574 | + | 0.158463i | ||||
\(712\) | −388.943 | − | 388.943i | −0.546269 | − | 0.546269i | ||||
\(713\) | −629.462 | − | 629.462i | −0.882836 | − | 0.882836i | ||||
\(714\) | −489.181 | − | 436.194i | −0.685127 | − | 0.610916i | ||||
\(715\) | −185.653 | + | 421.245i | −0.259654 | + | 0.589154i | ||||
\(716\) | − | 1010.71i | − | 1.41161i | ||||||
\(717\) | −437.342 | − | 1139.95i | −0.609961 | − | 1.58989i | ||||
\(718\) | −442.710 | − | 442.710i | −0.616588 | − | 0.616588i | ||||
\(719\) | − | 160.221i | − | 0.222838i | −0.993773 | − | 0.111419i | \(-0.964460\pi\) | ||
0.993773 | − | 0.111419i | \(-0.0355396\pi\) | |||||||
\(720\) | −23.7906 | − | 12.0203i | −0.0330425 | − | 0.0166949i | ||||
\(721\) | −329.207 | + | 1030.78i | −0.456597 | + | 1.42966i | ||||
\(722\) | −605.144 | − | 605.144i | −0.838150 | − | 0.838150i | ||||
\(723\) | −328.012 | + | 125.842i | −0.453682 | + | 0.174056i | ||||
\(724\) | −376.650 | −0.520235 | ||||||||
\(725\) | −196.245 | + | 179.395i | −0.270683 | + | 0.247442i | ||||
\(726\) | 14.8797 | − | 33.4036i | 0.0204954 | − | 0.0460104i | ||||
\(727\) | −655.048 | − | 655.048i | −0.901029 | − | 0.901029i | 0.0944960 | − | 0.995525i | \(-0.469876\pi\) |
−0.995525 | + | 0.0944960i | \(0.969876\pi\) | |||||||
\(728\) | 205.239 | + | 397.851i | 0.281921 | + | 0.546498i | ||||
\(729\) | 427.838 | + | 590.250i | 0.586884 | + | 0.809671i | ||||
\(730\) | 421.912 | + | 1086.86i | 0.577961 | + | 1.48886i | ||||
\(731\) | 17.1118 | 0.0234088 | ||||||||
\(732\) | 97.5452 | + | 254.255i | 0.133258 | + | 0.347343i | ||||
\(733\) | 222.518 | − | 222.518i | 0.303572 | − | 0.303572i | −0.538838 | − | 0.842410i | \(-0.681136\pi\) |
0.842410 | + | 0.538838i | \(0.181136\pi\) | |||||||
\(734\) | 1328.56i | 1.81003i | ||||||||
\(735\) | −86.7817 | − | 729.859i | −0.118070 | − | 0.993005i | ||||
\(736\) | 1088.43 | 1.47884 | ||||||||
\(737\) | −68.6376 | − | 68.6376i | −0.0931311 | − | 0.0931311i | ||||
\(738\) | 955.682 | + | 50.4409i | 1.29496 | + | 0.0683481i | ||||
\(739\) | − | 343.180i | − | 0.464385i | −0.972670 | − | 0.232192i | \(-0.925410\pi\) | ||
0.972670 | − | 0.232192i | \(-0.0745899\pi\) | |||||||
\(740\) | 381.486 | − | 865.590i | 0.515521 | − | 1.16972i | ||||
\(741\) | 565.260 | + | 251.796i | 0.762834 | + | 0.339805i | ||||
\(742\) | 739.240 | − | 381.351i | 0.996280 | − | 0.513950i | ||||
\(743\) | −54.5399 | + | 54.5399i | −0.0734050 | + | 0.0734050i | −0.742856 | − | 0.669451i | \(-0.766529\pi\) |
0.669451 | + | 0.742856i | \(0.266529\pi\) | |||||||
\(744\) | 255.238 | − | 572.987i | 0.343062 | − | 0.770144i | ||||
\(745\) | 113.826 | + | 293.220i | 0.152786 | + | 0.393584i | ||||
\(746\) | − | 180.739i | − | 0.242278i | ||||||
\(747\) | 398.297 | + | 21.0221i | 0.533196 | + | 0.0281421i | ||||
\(748\) | −489.516 | + | 489.516i | −0.654433 | + | 0.654433i | ||||
\(749\) | −840.533 | − | 268.446i | −1.12221 | − | 0.358405i | ||||
\(750\) | 931.559 | − | 771.660i | 1.24208 | − | 1.02888i | ||||
\(751\) | 969.222 | 1.29057 | 0.645287 | − | 0.763940i | \(-0.276738\pi\) | ||||
0.645287 | + | 0.763940i | \(0.276738\pi\) | |||||||
\(752\) | −35.0146 | + | 35.0146i | −0.0465620 | + | 0.0465620i | ||||
\(753\) | 137.340 | + | 357.982i | 0.182391 | + | 0.475408i | ||||
\(754\) | −282.764 | −0.375018 | ||||||||
\(755\) | −37.3484 | − | 96.2112i | −0.0494681 | − | 0.127432i | ||||
\(756\) | −5.40671 | − | 1210.61i | −0.00715174 | − | 1.60134i | ||||
\(757\) | −881.940 | + | 881.940i | −1.16505 | + | 1.16505i | −0.181690 | + | 0.983356i | \(0.558157\pi\) |
−0.983356 | + | 0.181690i | \(0.941843\pi\) | |||||||
\(758\) | 892.277 | − | 892.277i | 1.17715 | − | 1.17715i | ||||
\(759\) | −450.464 | + | 1011.25i | −0.593497 | + | 1.33235i | ||||
\(760\) | −888.458 | − | 391.564i | −1.16902 | − | 0.515216i | ||||
\(761\) | −1174.77 | −1.54372 | −0.771859 | − | 0.635794i | \(-0.780673\pi\) | ||||
−0.771859 | + | 0.635794i | \(0.780673\pi\) | |||||||
\(762\) | 844.699 | + | 2201.74i | 1.10853 | + | 2.88942i | ||||
\(763\) | −292.753 | − | 567.496i | −0.383687 | − | 0.743769i | ||||
\(764\) | 57.6245 | 0.0754248 | ||||||||
\(765\) | −413.620 | + | 135.948i | −0.540680 | + | 0.177709i | ||||
\(766\) | 28.8236i | 0.0376288i | ||||||||
\(767\) | −409.169 | − | 409.169i | −0.533467 | − | 0.533467i | ||||
\(768\) | 258.408 | + | 673.550i | 0.336469 | + | 0.877018i | ||||
\(769\) | 397.325 | 0.516678 | 0.258339 | − | 0.966054i | \(-0.416825\pi\) | ||||
0.258339 | + | 0.966054i | \(0.416825\pi\) | |||||||
\(770\) | −1258.80 | + | 77.0705i | −1.63480 | + | 0.100092i | ||||
\(771\) | −387.937 | − | 172.807i | −0.503161 | − | 0.224134i | ||||
\(772\) | −615.595 | + | 615.595i | −0.797403 | + | 0.797403i | ||||
\(773\) | 122.356 | + | 122.356i | 0.158287 | + | 0.158287i | 0.781807 | − | 0.623520i | \(-0.214298\pi\) |
−0.623520 | + | 0.781807i | \(0.714298\pi\) | |||||||
\(774\) | 34.3428 | + | 38.1701i | 0.0443706 | + | 0.0493153i | ||||
\(775\) | −454.535 | − | 497.228i | −0.586496 | − | 0.641584i | ||||
\(776\) | −1253.32 | −1.61510 | ||||||||
\(777\) | −619.226 | + | 35.4566i | −0.796944 | + | 0.0456327i | ||||
\(778\) | 535.125 | + | 535.125i | 0.687822 | + | 0.687822i | ||||
\(779\) | −824.970 | −1.05901 | ||||||||
\(780\) | 790.973 | + | 38.6136i | 1.01407 | + | 0.0495046i | ||||
\(781\) | −436.203 | −0.558519 | ||||||||
\(782\) | 729.044 | − | 729.044i | 0.932281 | − | 0.932281i | ||||
\(783\) | 255.785 | + | 130.508i | 0.326673 | + | 0.166678i | ||||
\(784\) | 16.8232 | − | 23.6512i | 0.0214582 | − | 0.0301674i | ||||
\(785\) | −608.136 | + | 1379.86i | −0.774695 | + | 1.75778i | ||||
\(786\) | −282.155 | + | 633.413i | −0.358975 | + | 0.805869i | ||||
\(787\) | −163.431 | − | 163.431i | −0.207663 | − | 0.207663i | 0.595610 | − | 0.803273i | \(-0.296910\pi\) |
−0.803273 | + | 0.595610i | \(0.796910\pi\) | |||||||
\(788\) | −724.799 | + | 724.799i | −0.919795 | + | 0.919795i | ||||
\(789\) | −374.192 | − | 166.684i | −0.474261 | − | 0.211260i | ||||
\(790\) | −248.537 | − | 109.536i | −0.314604 | − | 0.138653i | ||||
\(791\) | 296.336 | − | 927.860i | 0.374634 | − | 1.17302i | ||||
\(792\) | −778.983 | − | 41.1148i | −0.983565 | − | 0.0519126i | ||||
\(793\) | 82.5930 | + | 82.5930i | 0.104153 | + | 0.104153i | ||||
\(794\) | − | 1113.75i | − | 1.40270i | ||||||
\(795\) | 26.9431 | − | 551.912i | 0.0338907 | − | 0.694229i | ||||
\(796\) | 781.627i | 0.981944i | ||||||||
\(797\) | 412.431 | − | 412.431i | 0.517479 | − | 0.517479i | −0.399329 | − | 0.916808i | \(-0.630757\pi\) |
0.916808 | + | 0.399329i | \(0.130757\pi\) | |||||||
\(798\) | 96.9124 | + | 1692.51i | 0.121444 | + | 2.12094i | ||||
\(799\) | 808.845i | 1.01232i | ||||||||
\(800\) | 822.865 | + | 36.9114i | 1.02858 | + | 0.0461392i | ||||
\(801\) | 426.733 | + | 474.289i | 0.532750 | + | 0.592121i | ||||
\(802\) | 583.280 | − | 583.280i | 0.727282 | − | 0.727282i | ||||
\(803\) | −570.967 | − | 570.967i | −0.711042 | − | 0.711042i | ||||
\(804\) | −67.9469 | + | 152.535i | −0.0845111 | + | 0.189720i | ||||
\(805\) | 1154.06 | − | 70.6581i | 1.43362 | − | 0.0877741i | ||||
\(806\) | − | 716.440i | − | 0.888883i | ||||||
\(807\) | 598.667 | − | 229.679i | 0.741843 | − | 0.284609i | ||||
\(808\) | −301.470 | + | 301.470i | −0.373106 | + | 0.373106i | ||||
\(809\) | 677.677 | 0.837672 | 0.418836 | − | 0.908062i | \(-0.362438\pi\) | ||||
0.418836 | + | 0.908062i | \(0.362438\pi\) | |||||||
\(810\) | −1133.37 | − | 649.789i | −1.39922 | − | 0.802208i | ||||
\(811\) | 680.395i | 0.838958i | 0.907765 | + | 0.419479i | \(0.137787\pi\) | ||||
−0.907765 | + | 0.419479i | \(0.862213\pi\) | |||||||
\(812\) | −218.625 | − | 423.801i | −0.269243 | − | 0.521922i | ||||
\(813\) | −1470.61 | + | 564.202i | −1.80887 | + | 0.693976i | ||||
\(814\) | 1064.24i | 1.30742i | ||||||||
\(815\) | 55.6797 | − | 126.337i | 0.0683186 | − | 0.155015i | ||||
\(816\) | −15.7052 | − | 6.99590i | −0.0192466 | − | 0.00857341i | ||||
\(817\) | −31.2975 | − | 31.2975i | −0.0383078 | − | 0.0383078i | ||||
\(818\) | 1252.84 | + | 1252.84i | 1.53158 | + | 1.53158i | ||||
\(819\) | −213.404 | − | 473.375i | −0.260567 | − | 0.577992i | ||||
\(820\) | −984.199 | + | 382.058i | −1.20024 | + | 0.465924i | ||||
\(821\) | − | 93.5358i | − | 0.113929i | −0.998376 | − | 0.0569646i | \(-0.981858\pi\) | ||
0.998376 | − | 0.0569646i | \(-0.0181422\pi\) | |||||||
\(822\) | −729.832 | + | 280.001i | −0.887874 | + | 0.340634i | ||||
\(823\) | −955.257 | − | 955.257i | −1.16070 | − | 1.16070i | −0.984322 | − | 0.176378i | \(-0.943562\pi\) |
−0.176378 | − | 0.984322i | \(-0.556438\pi\) | |||||||
\(824\) | − | 1199.44i | − | 1.45563i | ||||||
\(825\) | −374.851 | + | 749.244i | −0.454365 | + | 0.908175i | ||||
\(826\) | 482.299 | − | 1510.13i | 0.583897 | − | 1.82825i | ||||
\(827\) | 326.945 | + | 326.945i | 0.395338 | + | 0.395338i | 0.876585 | − | 0.481247i | \(-0.159816\pi\) |
−0.481247 | + | 0.876585i | \(0.659816\pi\) | |||||||
\(828\) | 1901.78 | + | 100.376i | 2.29683 | + | 0.121227i | ||||
\(829\) | −502.107 | −0.605678 | −0.302839 | − | 0.953042i | \(-0.597934\pi\) | ||||
−0.302839 | + | 0.953042i | \(0.597934\pi\) | |||||||
\(830\) | −666.329 | + | 258.663i | −0.802806 | + | 0.311643i | ||||
\(831\) | 473.752 | + | 211.033i | 0.570099 | + | 0.253951i | ||||
\(832\) | 605.603 | + | 605.603i | 0.727889 | + | 0.727889i | ||||
\(833\) | −78.8641 | − | 467.484i | −0.0946748 | − | 0.561206i | ||||
\(834\) | −163.233 | + | 366.443i | −0.195723 | + | 0.439381i | ||||
\(835\) | −983.029 | − | 433.244i | −1.17728 | − | 0.518855i | ||||
\(836\) | 1790.65 | 2.14192 | ||||||||
\(837\) | −330.670 | + | 648.084i | −0.395066 | + | 0.774294i | ||||
\(838\) | 1086.49 | − | 1086.49i | 1.29653 | − | 1.29653i | ||||
\(839\) | − | 170.395i | − | 0.203092i | −0.994831 | − | 0.101546i | \(-0.967621\pi\) | ||
0.994831 | − | 0.101546i | \(-0.0323790\pi\) | |||||||
\(840\) | 337.768 | + | 741.406i | 0.402105 | + | 0.882626i | ||||
\(841\) | −727.888 | −0.865503 | ||||||||
\(842\) | 1680.99 | + | 1680.99i | 1.99642 | + | 1.99642i | ||||
\(843\) | −735.750 | + | 282.271i | −0.872776 | + | 0.334841i | ||||
\(844\) | − | 27.4112i | − | 0.0324777i | ||||||
\(845\) | −471.086 | + | 182.872i | −0.557498 | + | 0.216416i | ||||
\(846\) | −1804.23 | + | 1623.32i | −2.13266 | + | 1.91882i | ||||
\(847\) | 23.5076 | − | 12.1268i | 0.0277539 | − | 0.0143174i | ||||
\(848\) | 15.4292 | − | 15.4292i | 0.0181948 | − | 0.0181948i | ||||
\(849\) | 1033.96 | + | 460.578i | 1.21785 | + | 0.542495i | ||||
\(850\) | 575.890 | − | 526.443i | 0.677518 | − | 0.619344i | ||||
\(851\) | − | 975.697i | − | 1.14653i | ||||||
\(852\) | 268.786 | + | 700.600i | 0.315476 | + | 0.822300i | ||||
\(853\) | 554.247 | − | 554.247i | 0.649763 | − | 0.649763i | −0.303173 | − | 0.952936i | \(-0.598046\pi\) |
0.952936 | + | 0.303173i | \(0.0980460\pi\) | |||||||
\(854\) | −97.3547 | + | 304.828i | −0.113998 | + | 0.356942i | ||||
\(855\) | 1005.16 | + | 507.862i | 1.17562 | + | 0.593991i | ||||
\(856\) | 978.063 | 1.14260 | ||||||||
\(857\) | 472.697 | − | 472.697i | 0.551572 | − | 0.551572i | −0.375323 | − | 0.926894i | \(-0.622468\pi\) |
0.926894 | + | 0.375323i | \(0.122468\pi\) | |||||||
\(858\) | −831.848 | + | 319.139i | −0.969520 | + | 0.371957i | ||||
\(859\) | −218.046 | −0.253837 | −0.126919 | − | 0.991913i | \(-0.540509\pi\) | ||||
−0.126919 | + | 0.991913i | \(0.540509\pi\) | |||||||
\(860\) | −51.8327 | − | 22.8439i | −0.0602706 | − | 0.0265627i | ||||
\(861\) | 516.679 | + | 460.713i | 0.600091 | + | 0.535091i | ||||
\(862\) | 218.832 | − | 218.832i | 0.253866 | − | 0.253866i | ||||
\(863\) | 823.471 | − | 823.471i | 0.954196 | − | 0.954196i | −0.0447996 | − | 0.998996i | \(-0.514265\pi\) |
0.998996 | + | 0.0447996i | \(0.0142649\pi\) | |||||||
\(864\) | −274.426 | − | 846.201i | −0.317623 | − | 0.979399i | ||||
\(865\) | 56.6318 | − | 128.497i | 0.0654703 | − | 0.148552i | ||||
\(866\) | 1246.13 | 1.43895 | ||||||||
\(867\) | 547.272 | − | 209.961i | 0.631225 | − | 0.242170i | ||||
\(868\) | 1073.79 | − | 553.933i | 1.23708 | − | 0.638171i | ||||
\(869\) | 188.108 | 0.216465 | ||||||||
\(870\) | −513.994 | − | 25.0921i | −0.590798 | − | 0.0288415i | ||||
\(871\) | 71.6221i | 0.0822297i | ||||||||
\(872\) | 500.503 | + | 500.503i | 0.573971 | + | 0.573971i | ||||
\(873\) | 1451.71 | + | 76.6214i | 1.66290 | + | 0.0877679i | ||||
\(874\) | −2666.84 | −3.05130 | ||||||||
\(875\) | 874.883 | − | 14.2812i | 0.999867 | − | 0.0163214i | ||||
\(876\) | −565.221 | + | 1268.87i | −0.645229 | + | 1.44849i | ||||
\(877\) | 601.564 | − | 601.564i | 0.685934 | − | 0.685934i | −0.275397 | − | 0.961331i | \(-0.588809\pi\) |
0.961331 | + | 0.275397i | \(0.0888092\pi\) | |||||||
\(878\) | 904.375 | + | 904.375i | 1.03004 | + | 1.03004i | ||||
\(879\) | 491.367 | − | 1103.08i | 0.559006 | − | 1.25492i | ||||
\(880\) | −30.8407 | + | 11.9721i | −0.0350462 | + | 0.0136047i | ||||
\(881\) | −842.336 | −0.956113 | −0.478057 | − | 0.878329i | \(-0.658659\pi\) | ||||
−0.478057 | + | 0.878329i | \(0.658659\pi\) | |||||||
\(882\) | 884.504 | − | 1114.14i | 1.00284 | − | 1.26320i | ||||
\(883\) | 918.430 | + | 918.430i | 1.04012 | + | 1.04012i | 0.999161 | + | 0.0409643i | \(0.0130430\pi\) |
0.0409643 | + | 0.999161i | \(0.486957\pi\) | |||||||
\(884\) | 510.801 | 0.577829 | ||||||||
\(885\) | −707.459 | − | 780.077i | −0.799388 | − | 0.881443i | ||||
\(886\) | −977.170 | −1.10290 | ||||||||
\(887\) | −496.805 | + | 496.805i | −0.560095 | + | 0.560095i | −0.929334 | − | 0.369239i | \(-0.879618\pi\) |
0.369239 | + | 0.929334i | \(0.379618\pi\) | |||||||
\(888\) | 641.895 | − | 246.264i | 0.722855 | − | 0.277324i | ||||
\(889\) | −518.968 | + | 1624.95i | −0.583766 | + | 1.82784i | ||||
\(890\) | −1046.25 | − | 461.108i | −1.17556 | − | 0.518099i | ||||
\(891\) | 899.779 | + | 95.2460i | 1.00985 | + | 0.106898i | ||||
\(892\) | −224.080 | − | 224.080i | −0.251211 | − | 0.251211i | ||||
\(893\) | 1479.38 | − | 1479.38i | 1.65664 | − | 1.65664i | ||||
\(894\) | −247.713 | + | 556.095i | −0.277084 | + | 0.622030i | ||||
\(895\) | −285.507 | − | 735.478i | −0.319002 | − | 0.821763i | ||||
\(896\) | −433.173 | + | 1356.31i | −0.483452 | + | 1.51374i | ||||
\(897\) | 762.638 | − | 292.587i | 0.850209 | − | 0.326184i | ||||
\(898\) | 335.975 | + | 335.975i | 0.374137 | + | 0.374137i | ||||
\(899\) | 286.592i | 0.318790i | ||||||||
\(900\) | 1434.37 | + | 140.380i | 1.59374 | + | 0.155977i | ||||
\(901\) | − | 356.418i | − | 0.395581i | ||||||
\(902\) | 839.905 | − | 839.905i | 0.931159 | − | 0.931159i | ||||
\(903\) | 2.12319 | + | 37.0801i | 0.00235126 | + | 0.0410632i | ||||
\(904\) | 1079.68i | 1.19434i | ||||||||
\(905\) | −274.083 | + | 106.397i | −0.302854 | + | 0.117565i | ||||
\(906\) | 81.2794 | − | 182.465i | 0.0897124 | − | 0.201397i | ||||
\(907\) | 407.949 | − | 407.949i | 0.449778 | − | 0.449778i | −0.445502 | − | 0.895281i | \(-0.646975\pi\) |
0.895281 | + | 0.445502i | \(0.146975\pi\) | |||||||
\(908\) | 148.991 | + | 148.991i | 0.164087 | + | 0.164087i | ||||
\(909\) | 367.621 | − | 330.761i | 0.404424 | − | 0.363873i | ||||
\(910\) | 696.976 | + | 616.555i | 0.765908 | + | 0.677532i | ||||
\(911\) | 763.804i | 0.838424i | 0.907888 | + | 0.419212i | \(0.137694\pi\) | ||||
−0.907888 | + | 0.419212i | \(0.862306\pi\) | |||||||
\(912\) | 15.9293 | + | 41.5203i | 0.0174663 | + | 0.0455266i | ||||
\(913\) | 350.045 | − | 350.045i | 0.383401 | − | 0.383401i | ||||
\(914\) | −86.1073 | −0.0942093 | ||||||||
\(915\) | 142.804 | + | 157.463i | 0.156070 | + | 0.172090i | ||||
\(916\) | − | 583.600i | − | 0.637118i | ||||||
\(917\) | −445.761 | + | 229.954i | −0.486108 | + | 0.250768i | ||||
\(918\) | −750.612 | − | 382.983i | −0.817660 | − | 0.417192i | ||||
\(919\) | − | 369.412i | − | 0.401972i | −0.979594 | − | 0.200986i | \(-0.935585\pi\) | ||
0.979594 | − | 0.200986i | \(-0.0644145\pi\) | |||||||
\(920\) | −1194.77 | + | 463.800i | −1.29866 | + | 0.504130i | ||||
\(921\) | 432.821 | − | 971.648i | 0.469947 | − | 1.05499i | ||||
\(922\) | −436.648 | − | 436.648i | −0.473587 | − | 0.473587i | ||||
\(923\) | 227.585 | + | 227.585i | 0.246571 | + | 0.246571i | ||||
\(924\) | −1121.48 | − | 1000.01i | −1.21373 | − | 1.08226i | ||||
\(925\) | 33.0884 | − | 737.639i | 0.0357712 | − | 0.797448i | ||||
\(926\) | − | 1654.47i | − | 1.78668i | ||||||
\(927\) | −73.3276 | + | 1389.31i | −0.0791021 | + | 1.49871i | ||||
\(928\) | −247.779 | − | 247.779i | −0.267003 | − | 0.267003i | ||||
\(929\) | 443.766i | 0.477682i | 0.971059 | + | 0.238841i | \(0.0767674\pi\) | ||||
−0.971059 | + | 0.238841i | \(0.923233\pi\) | |||||||
\(930\) | 63.5759 | − | 1302.31i | 0.0683612 | − | 1.40033i | ||||
\(931\) | −710.785 | + | 999.270i | −0.763464 | + | 1.07333i | ||||
\(932\) | −580.340 | − | 580.340i | −0.622682 | − | 0.622682i | ||||
\(933\) | −318.420 | − | 829.972i | −0.341286 | − | 0.889573i | ||||
\(934\) | 280.793 | 0.300635 | ||||||||
\(935\) | −217.934 | + | 494.492i | −0.233085 | + | 0.528869i | ||||
\(936\) | 384.976 | + | 427.879i | 0.411299 | + | 0.457135i | ||||
\(937\) | 278.535 | + | 278.535i | 0.297263 | + | 0.297263i | 0.839941 | − | 0.542678i | \(-0.182590\pi\) |
−0.542678 | + | 0.839941i | \(0.682590\pi\) | |||||||
\(938\) | −174.380 | + | 89.9573i | −0.185906 | + | 0.0959033i | ||||
\(939\) | −757.632 | − | 337.488i | −0.806849 | − | 0.359412i | ||||
\(940\) | 1079.79 | − | 2450.04i | 1.14871 | − | 2.60642i | ||||
\(941\) | 1197.75 | 1.27285 | 0.636423 | − | 0.771340i | \(-0.280413\pi\) | ||||
0.636423 | + | 0.771340i | \(0.280413\pi\) | |||||||
\(942\) | −2724.86 | + | 1045.39i | −2.89263 | + | 1.10976i | ||||
\(943\) | −770.025 | + | 770.025i | −0.816569 | + | 0.816569i | ||||
\(944\) | − | 41.5855i | − | 0.0440524i | ||||||
\(945\) | −345.909 | − | 879.416i | −0.366041 | − | 0.930599i | ||||
\(946\) | 63.7283 | 0.0673660 | ||||||||
\(947\) | 99.0939 | + | 99.0939i | 0.104640 | + | 0.104640i | 0.757488 | − | 0.652849i | \(-0.226426\pi\) |
−0.652849 | + | 0.757488i | \(0.726426\pi\) | |||||||
\(948\) | −115.911 | − | 302.126i | −0.122269 | − | 0.318698i | ||||
\(949\) | 595.793i | 0.627811i | ||||||||
\(950\) | −2016.16 | − | 90.4393i | −2.12228 | − | 0.0951993i | ||||
\(951\) | 75.6766 | − | 169.888i | 0.0795758 | − | 0.178641i | ||||
\(952\) | 240.926 | + | 467.030i | 0.253074 | + | 0.490577i | ||||
\(953\) | 294.311 | − | 294.311i | 0.308826 | − | 0.308826i | −0.535628 | − | 0.844454i | \(-0.679925\pi\) |
0.844454 | + | 0.535628i | \(0.179925\pi\) | |||||||
\(954\) | 795.035 | − | 715.318i | 0.833370 | − | 0.749809i | ||||
\(955\) | 41.9325 | − | 16.2778i | 0.0439084 | − | 0.0170449i | ||||
\(956\) | 2606.92i | 2.72691i | ||||||||
\(957\) | 332.758 | − | 127.663i | 0.347709 | − | 0.133399i | ||||
\(958\) | 1306.11 | − | 1306.11i | 1.36338 | − | 1.36338i | ||||
\(959\) | −538.637 | − | 172.028i | −0.561666 | − | 0.179382i | ||||
\(960\) | 1047.10 | + | 1154.58i | 1.09072 | + | 1.20268i | ||||
\(961\) | 234.860 | 0.244392 | ||||||||
\(962\) | 555.258 | − | 555.258i | 0.577192 | − | 0.577192i | ||||
\(963\) | −1132.89 | − | 59.7937i | −1.17641 | − | 0.0620911i | ||||
\(964\) | 750.124 | 0.778137 | ||||||||
\(965\) | −274.065 | + | 621.853i | −0.284005 | + | 0.644407i | ||||
\(966\) | 1670.24 | + | 1489.33i | 1.72903 | + | 1.54174i | ||||
\(967\) | 749.151 | − | 749.151i | 0.774716 | − | 0.774716i | −0.204211 | − | 0.978927i | \(-0.565463\pi\) |
0.978927 | + | 0.204211i | \(0.0654627\pi\) | |||||||
\(968\) | −20.7325 | + | 20.7325i | −0.0214179 | + | 0.0214179i | ||||
\(969\) | 663.549 | + | 295.578i | 0.684777 | + | 0.305035i | ||||
\(970\) | −2428.63 | + | 942.775i | −2.50375 | + | 0.971933i | ||||
\(971\) | −648.040 | −0.667394 | −0.333697 | − | 0.942680i | \(-0.608296\pi\) | ||||
−0.333697 | + | 0.942680i | \(0.608296\pi\) | |||||||
\(972\) | −401.460 | − | 1503.85i | −0.413025 | − | 1.54717i | ||||
\(973\) | −257.883 | + | 133.034i | −0.265039 | + | 0.136725i | ||||
\(974\) | −1633.85 | −1.67747 | ||||||||
\(975\) | 586.486 | − | 195.336i | 0.601524 | − | 0.200345i | ||||
\(976\) | 8.39425i | 0.00860067i | ||||||||
\(977\) | −131.673 | − | 131.673i | −0.134773 | − | 0.134773i | 0.636502 | − | 0.771275i | \(-0.280381\pi\) |
−0.771275 | + | 0.636502i | \(0.780381\pi\) | |||||||
\(978\) | 249.482 | − | 95.7141i | 0.255094 | − | 0.0978672i | ||||
\(979\) | 791.867 | 0.808853 | ||||||||
\(980\) | −385.196 | + | 1521.32i | −0.393057 | + | 1.55237i | ||||
\(981\) | −549.132 | − | 610.328i | −0.559767 | − | 0.622149i | ||||
\(982\) | −1469.03 | + | 1469.03i | −1.49596 | + | 1.49596i | ||||
\(983\) | −903.757 | − | 903.757i | −0.919387 | − | 0.919387i | 0.0775980 | − | 0.996985i | \(-0.475275\pi\) |
−0.996985 | + | 0.0775980i | \(0.975275\pi\) | |||||||
\(984\) | −700.939 | − | 312.234i | −0.712336 | − | 0.317311i | ||||
\(985\) | −322.683 | + | 732.167i | −0.327597 | + | 0.743316i | ||||
\(986\) | −331.931 | −0.336644 | ||||||||
\(987\) | −1752.71 | + | 100.359i | −1.77579 | + | 0.101681i | ||||
\(988\) | −934.254 | − | 934.254i | −0.945601 | − | 0.945601i | ||||
\(989\) | −58.4260 | −0.0590759 | ||||||||
\(990\) | −1540.41 | + | 506.299i | −1.55597 | + | 0.511413i | ||||
\(991\) | −628.425 | −0.634132 | −0.317066 | − | 0.948403i | \(-0.602698\pi\) | ||||
−0.317066 | + | 0.948403i | \(0.602698\pi\) | |||||||
\(992\) | 627.798 | − | 627.798i | 0.632861 | − | 0.632861i | ||||
\(993\) | 485.813 | + | 1266.29i | 0.489238 | + | 1.27522i | ||||
\(994\) | −268.261 | + | 839.954i | −0.269880 | + | 0.845024i | ||||
\(995\) | 220.795 | + | 568.778i | 0.221904 | + | 0.571636i | ||||
\(996\) | −777.914 | − | 346.523i | −0.781038 | − | 0.347914i | ||||
\(997\) | 207.877 | + | 207.877i | 0.208503 | + | 0.208503i | 0.803631 | − | 0.595128i | \(-0.202899\pi\) |
−0.595128 | + | 0.803631i | \(0.702899\pi\) | |||||||
\(998\) | 1209.64 | − | 1209.64i | 1.21206 | − | 1.21206i | ||||
\(999\) | −758.558 | + | 246.004i | −0.759318 | + | 0.246250i |
(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 | 105.3.k.d.83.3 | yes | 32 | |
3.2 | odd | 2 | inner | 105.3.k.d.83.14 | yes | 32 | |
5.2 | odd | 4 | inner | 105.3.k.d.62.13 | yes | 32 | |
7.6 | odd | 2 | inner | 105.3.k.d.83.4 | yes | 32 | |
15.2 | even | 4 | inner | 105.3.k.d.62.4 | yes | 32 | |
21.20 | even | 2 | inner | 105.3.k.d.83.13 | yes | 32 | |
35.27 | even | 4 | inner | 105.3.k.d.62.14 | yes | 32 | |
105.62 | odd | 4 | inner | 105.3.k.d.62.3 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.k.d.62.3 | ✓ | 32 | 105.62 | odd | 4 | inner | |
105.3.k.d.62.4 | yes | 32 | 15.2 | even | 4 | inner | |
105.3.k.d.62.13 | yes | 32 | 5.2 | odd | 4 | inner | |
105.3.k.d.62.14 | yes | 32 | 35.27 | even | 4 | inner | |
105.3.k.d.83.3 | yes | 32 | 1.1 | even | 1 | trivial | |
105.3.k.d.83.4 | yes | 32 | 7.6 | odd | 2 | inner | |
105.3.k.d.83.13 | yes | 32 | 21.20 | even | 2 | inner | |
105.3.k.d.83.14 | yes | 32 | 3.2 | odd | 2 | inner |