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 | 83.4 | ||
Character | \(\chi\) | \(=\) | 105.83 |
Dual form | 105.3.k.d.62.4 |
$q$-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 | ||||
\(7\) | −3.20922 | + | 6.22100i | −0.458460 | + | 0.888715i | ||||
\(8\) | 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 | −0.894794 | − | 0.446480i | \(-0.852677\pi\) |
0.446480 | + | 0.894794i | \(0.352677\pi\) | |||||||
\(14\) | 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 | −0.879092 | − | 0.476652i | \(-0.841850\pi\) |
0.476652 | + | 0.879092i | \(0.341850\pi\) | |||||||
\(18\) | 28.9913 | + | 1.53016i | 1.61063 | + | 0.0850091i | ||||
\(19\) | 25.0261 | 1.31716 | 0.658581 | − | 0.752510i | \(-0.271157\pi\) | ||||
0.658581 | + | 0.752510i | \(0.271157\pi\) | |||||||
\(20\) | 29.8564 | − | 11.5900i | 1.49282 | − | 0.579500i | ||||
\(21\) | −20.8732 | − | 2.30385i | −0.993964 | − | 0.109707i | ||||
\(22\) | 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 | ||||
\(28\) | −39.8481 | − | 20.5564i | −1.42315 | − | 0.734157i | ||||
\(29\) | 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 | \(-0.856880\pi\) | ||
0.900610 | − | 0.434629i | \(-0.143120\pi\) | |||||||
\(32\) | −23.2975 | − | 23.2975i | −0.728048 | − | 0.728048i | ||||
\(33\) | −31.2877 | + | 12.0036i | −0.948113 | + | 0.363745i | ||||
\(34\) | 31.2100 | 0.917942 | ||||||||
\(35\) | 34.8036 | + | 3.70223i | 0.994390 | + | 0.105778i | ||||
\(36\) | −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 | \(-0.631687\pi\) | ||||
−0.402005 | + | 0.915637i | \(0.631687\pi\) | |||||||
\(42\) | 42.3558 | + | 52.8657i | 1.00847 | + | 1.25871i | ||||
\(43\) | 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 | \(-0.401157\pi\) |
0.952173 | − | 0.305558i | \(-0.0988431\pi\) | |||||||
\(48\) | 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 | \(0.202837\pi\) | ||||
−0.803747 | + | 0.594971i | \(0.797163\pi\) | |||||||
\(60\) | 64.5461 | + | 71.1716i | 1.07577 | + | 1.18619i | ||||
\(61\) | − | 14.1716i | − | 0.232321i | −0.993230 | − | 0.116161i | \(-0.962941\pi\) | ||
0.993230 | − | 0.116161i | \(-0.0370587\pi\) | |||||||
\(62\) | −61.4646 | + | 61.4646i | −0.991364 | + | 0.991364i | ||||
\(63\) | −15.9771 | − | 60.9404i | −0.253605 | − | 0.967308i | ||||
\(64\) | 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 | ||||
\(70\) | −70.9406 | − | 87.8297i | −1.01344 | − | 1.25471i | ||||
\(71\) | 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 | −0.264259 | − | 0.964452i | \(-0.585127\pi\) |
0.964452 | + | 0.264259i | \(0.0851274\pi\) | |||||||
\(74\) | 95.2731 | 1.28747 | ||||||||
\(75\) | −67.0738 | − | 33.5574i | −0.894318 | − | 0.447432i | ||||
\(76\) | 160.302i | 2.10924i | ||||||||
\(77\) | −69.4914 | − | 35.8484i | −0.902485 | − | 0.465564i | ||||
\(78\) | 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 | 0.870218 | − | 0.492667i | \(-0.163978\pi\) |
−0.492667 | + | 0.870218i | \(0.663978\pi\) | |||||||
\(84\) | 14.7571 | − | 133.702i | 0.175680 | − | 1.59169i | ||||
\(85\) | 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 | \(0.130384\pi\) | ||||
−0.917274 | + | 0.398256i | \(0.869616\pi\) | |||||||
\(90\) | −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 | \(0.0631528\pi\) |
0.197101 | + | 0.980383i | \(0.436847\pi\) | |||||||
\(98\) | −26.2933 | + | 155.859i | −0.268299 | + | 1.59040i | ||||
\(99\) | −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 | \(-0.412311\pi\) | ||||
0.272012 | + | 0.962294i | \(0.412311\pi\) | |||||||
\(102\) | 33.5378 | + | 87.4175i | 0.328802 | + | 0.857034i | ||||
\(103\) | −109.306 | + | 109.306i | −1.06123 | + | 1.06123i | −0.0632258 | + | 0.997999i | \(0.520139\pi\) |
−0.997999 | + | 0.0632258i | \(0.979861\pi\) | |||||||
\(104\) | 63.9528i | 0.614931i | ||||||||
\(105\) | 27.0297 | + | 101.461i | 0.257426 | + | 0.966298i | ||||
\(106\) | −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 | ||||
\(112\) | −1.90092 | + | 3.68489i | −0.0169725 | + | 0.0329008i | ||||
\(113\) | −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 | ||||
\(126\) | −102.559 | + | 175.445i | −0.813958 | + | 1.39242i | ||||
\(127\) | 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 | \(-0.588178\pi\) | ||||
−0.273489 | + | 0.961875i | \(0.588178\pi\) | |||||||
\(132\) | −76.8879 | − | 200.411i | −0.582484 | − | 1.51826i | ||||
\(133\) | −80.3142 | + | 155.687i | −0.603866 | + | 1.17058i | ||||
\(134\) | 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 | \(-0.547642\pi\) | ||||
−0.149113 | + | 0.988820i | \(0.547642\pi\) | |||||||
\(140\) | −23.7143 | + | 222.932i | −0.169388 | + | 1.59237i | ||||
\(141\) | 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 | ||||||||
\(147\) | 81.3191 | − | 122.459i | 0.553191 | − | 0.833054i | ||||
\(148\) | −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 | \(-0.839807\pi\) |
−0.482284 | − | 0.876015i | \(-0.660193\pi\) | |||||||
\(158\) | −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 | −0.0865247 | − | 0.996250i | \(-0.527576\pi\) |
0.996250 | + | 0.0865247i | \(0.0275761\pi\) | |||||||
\(168\) | −127.164 | + | 101.883i | −0.756927 | + | 0.606447i | ||||
\(169\) | 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 | 0.762169 | − | 0.647378i | \(-0.224134\pi\) |
−0.647378 | + | 0.762169i | \(0.724134\pi\) | |||||||
\(174\) | 41.8793 | − | 94.0154i | 0.240685 | − | 0.540319i | ||||
\(175\) | −45.7175 | − | 168.923i | −0.261243 | − | 0.965273i | ||||
\(176\) | 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 | \(-0.948065\pi\) | ||
0.986719 | − | 0.162436i | \(-0.0519351\pi\) | |||||||
\(182\) | −85.3236 | + | 165.398i | −0.468811 | + | 0.908780i | ||||
\(183\) | 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 | ||||
\(189\) | 153.522 | − | 110.237i | 0.812284 | − | 0.583262i | ||||
\(190\) | −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 | \(-0.599191\pi\) | ||||
−0.306598 | + | 0.951839i | \(0.599191\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | −34.1314 | + | 66.1629i | −0.168135 | + | 0.325926i | ||||
\(204\) | 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 | ||||||||
\(210\) | 169.774 | − | 293.081i | 0.808449 | − | 1.39562i | ||||
\(211\) | −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 | ||||
\(217\) | 167.637 | + | 86.4788i | 0.772522 | + | 0.398520i | ||||
\(218\) | 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 | −0.624306 | − | 0.781180i | \(-0.714618\pi\) |
0.781180 | + | 0.624306i | \(0.214618\pi\) | |||||||
\(224\) | 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 | −0.756482 | − | 0.654014i | \(-0.773084\pi\) |
0.654014 | + | 0.756482i | \(0.273084\pi\) | |||||||
\(228\) | −448.997 | + | 172.258i | −1.96929 | + | 0.755519i | ||||
\(229\) | 91.1105 | 0.397862 | 0.198931 | − | 0.980013i | \(-0.436253\pi\) | ||||
0.198931 | + | 0.980013i | \(0.436253\pi\) | |||||||
\(230\) | −192.815 | − | 496.700i | −0.838326 | − | 2.15957i | ||||
\(231\) | 25.7350 | − | 233.163i | 0.111407 | − | 1.00937i | ||||
\(232\) | 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 | ||||
\(238\) | −100.160 | + | 194.158i | −0.420840 | + | 0.815789i | ||||
\(239\) | 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 | \(0.0781191\pi\) | ||||
−0.970036 | + | 0.242962i | \(0.921881\pi\) | |||||||
\(242\) | 8.61911 | + | 8.61911i | 0.0356161 | + | 0.0356161i | ||||
\(243\) | 234.778 | − | 62.6752i | 0.966166 | − | 0.257923i | ||||
\(244\) | 90.7749 | 0.372028 | ||||||||
\(245\) | −134.724 | + | 204.632i | −0.549895 | + | 0.835234i | ||||
\(246\) | −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 | \(-0.418057\pi\) | ||||
0.254597 | + | 0.967047i | \(0.418057\pi\) | |||||||
\(252\) | 390.348 | − | 102.340i | 1.54900 | − | 0.406111i | ||||
\(253\) | −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 | −0.874506 | − | 0.485015i | \(-0.838814\pi\) |
0.485015 | + | 0.874506i | \(0.338814\pi\) | |||||||
\(258\) | 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 | \(-0.869953\pi\) | ||
0.917696 | − | 0.397282i | \(-0.130047\pi\) | |||||||
\(270\) | 337.546 | − | 275.138i | 1.25017 | − | 1.01903i | ||||
\(271\) | 525.042i | 1.93743i | 0.248184 | + | 0.968713i | \(0.420166\pi\) | ||||
−0.248184 | + | 0.968713i | \(0.579834\pi\) | |||||||
\(272\) | −4.05241 | + | 4.05241i | −0.0148986 | + | 0.0148986i | ||||
\(273\) | 135.078 | − | 108.224i | 0.494790 | − | 0.396424i | ||||
\(274\) | − | 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 | ||||
\(280\) | 211.267 | − | 170.641i | 0.754525 | − | 0.609434i | ||||
\(281\) | − | 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 | −0.0557189 | − | 0.998446i | \(-0.517745\pi\) |
0.998446 | + | 0.0557189i | \(0.0177451\pi\) | |||||||
\(284\) | −250.130 | −0.880740 | ||||||||
\(285\) | 278.069 | − | 252.183i | 0.975680 | − | 0.884852i | ||||
\(286\) | 296.989i | 1.03842i | ||||||||
\(287\) | 105.790 | − | 205.072i | 0.368607 | − | 0.714536i | ||||
\(288\) | 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 | 0.0281818 | − | 0.999603i | \(-0.491028\pi\) |
−0.999603 | + | 0.0281818i | \(0.991028\pi\) | |||||||
\(294\) | −464.806 | + | 93.8378i | −1.58097 | + | 0.319176i | ||||
\(295\) | 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 | 0.168965 | − | 0.985622i | \(-0.445958\pi\) |
−0.985622 | + | 0.168965i | \(0.945958\pi\) | |||||||
\(308\) | 229.624 | − | 445.121i | 0.745532 | − | 1.44520i | ||||
\(309\) | −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 | \(-0.658057\pi\) | ||||
−0.476397 | + | 0.879230i | \(0.658057\pi\) | |||||||
\(312\) | −179.128 | + | 68.7226i | −0.574128 | + | 0.220265i | ||||
\(313\) | −195.491 | + | 195.491i | −0.624573 | + | 0.624573i | −0.946697 | − | 0.322124i | \(-0.895603\pi\) |
0.322124 | + | 0.946697i | \(0.395603\pi\) | |||||||
\(314\) | 972.836i | 3.09820i | ||||||||
\(315\) | −255.141 | + | 184.737i | −0.809973 | + | 0.586468i | ||||
\(316\) | 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 | ||||
\(322\) | −341.982 | + | 662.925i | −1.06206 | + | 2.05877i | ||||
\(323\) | −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 | ||||
\(336\) | −12.3638 | − | 1.36464i | −0.0367972 | − | 0.00406142i | ||||
\(337\) | 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 | ||||
\(343\) | 339.547 | − | 48.5462i | 0.989933 | − | 0.141534i | ||||
\(344\) | 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 | \(-0.523504\pi\) | ||||
−0.0737735 | + | 0.997275i | \(0.523504\pi\) | |||||||
\(350\) | −281.025 | + | 489.582i | −0.802927 | + | 1.39881i | ||||
\(351\) | 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 | 0.339788 | − | 0.940502i | \(-0.389645\pi\) |
−0.940502 | + | 0.339788i | \(0.889645\pi\) | |||||||
\(354\) | 620.616 | + | 276.454i | 1.75315 | + | 0.780944i | ||||
\(355\) | 182.016 | − | 70.6570i | 0.512721 | − | 0.199034i | ||||
\(356\) | −454.077 | −1.27550 | ||||||||
\(357\) | 158.565 | − | 127.042i | 0.444161 | − | 0.355860i | ||||
\(358\) | 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 | 0.982068 | − | 0.188526i | \(-0.0603710\pi\) |
−0.188526 | + | 0.982068i | \(0.560371\pi\) | |||||||
\(368\) | −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 | ||||
\(378\) | −601.618 | − | 98.7311i | −1.59158 | − | 0.261193i | ||||
\(379\) | 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 | 0.715307 | − | 0.698810i | \(-0.246287\pi\) |
−0.698810 | + | 0.715307i | \(0.746287\pi\) | |||||||
\(384\) | 557.401 | + | 248.295i | 1.45157 | + | 0.646602i | ||||
\(385\) | −41.3555 | + | 388.772i | −0.107417 | + | 1.00980i | ||||
\(386\) | − | 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 | ||||||
\(392\) | −374.906 | − | 63.2462i | −0.956392 | − | 0.161342i | ||||
\(393\) | −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 | 0.329269 | − | 0.944236i | \(-0.393198\pi\) |
−0.944236 | + | 0.329269i | \(0.893198\pi\) | |||||||
\(398\) | 278.335 | + | 278.335i | 0.699333 | + | 0.699333i | ||||
\(399\) | −522.375 | − | 57.6562i | −1.30921 | − | 0.144502i | ||||
\(400\) | −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 | \(-0.265664\pi\) | ||||
0.671469 | + | 0.741033i | \(0.265664\pi\) | |||||||
\(410\) | 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 | ||||
\(413\) | −436.756 | − | 225.309i | −1.05752 | − | 0.545541i | ||||
\(414\) | −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 | \(-0.807556\pi\) | ||
0.822741 | − | 0.568417i | \(-0.192444\pi\) | |||||||
\(420\) | −649.902 | + | 173.136i | −1.54738 | + | 0.412230i | ||||
\(421\) | −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 | ||||
\(427\) | 88.1615 | + | 45.4798i | 0.206467 | + | 0.106510i | ||||
\(428\) | −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 | −0.317426 | − | 0.948283i | \(-0.602818\pi\) |
0.948283 | + | 0.317426i | \(0.102818\pi\) | |||||||
\(434\) | −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 | \(-0.350859\pi\) | ||||
0.451585 | + | 0.892228i | \(0.350859\pi\) | |||||||
\(440\) | 174.775 | − | 396.565i | 0.397217 | − | 0.901284i | ||||
\(441\) | 430.385 | + | 96.1775i | 0.975929 | + | 0.218090i | ||||
\(442\) | −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 | ||||
\(448\) | −646.433 | − | 333.475i | −1.44293 | − | 0.744363i | ||||
\(449\) | −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 | ||||||||
\(455\) | −224.415 | + | 181.261i | −0.493220 | + | 0.398376i | ||||
\(456\) | 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 | \(-0.566574\pi\) | ||||
−0.207628 | + | 0.978208i | \(0.566574\pi\) | |||||||
\(462\) | −590.533 | + | 473.132i | −1.27821 | + | 1.02410i | ||||
\(463\) | 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 | −0.638128 | − | 0.769931i | \(-0.720291\pi\) |
0.769931 | + | 0.638128i | \(0.220291\pi\) | |||||||
\(468\) | 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 | \(-0.796072\pi\) | ||
0.801702 | − | 0.597724i | \(-0.203928\pi\) | |||||||
\(480\) | −493.627 | − | 24.0978i | −1.02839 | − | 0.0502038i | ||||
\(481\) | − | 243.434i | − | 0.506099i | ||||||
\(482\) | 267.116 | − | 267.116i | 0.554183 | − | 0.554183i | ||||
\(483\) | 541.400 | − | 433.768i | 1.12091 | − | 0.898070i | ||||
\(484\) | − | 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 | ||||
\(490\) | 774.053 | − | 159.457i | 1.57970 | − | 0.325422i | ||||
\(491\) | − | 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 | ||||||
\(497\) | −242.929 | − | 125.319i | −0.488791 | − | 0.252152i | ||||
\(498\) | 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 | \(0.00788111\pi\) |
0.0247567 | + | 0.999694i | \(0.492119\pi\) | |||||||
\(504\) | −422.017 | − | 246.696i | −0.837335 | − | 0.489477i | ||||
\(505\) | −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 | \(0.219789\pi\) | ||||
−0.770935 | + | 0.636914i | \(0.780211\pi\) | |||||||
\(510\) | 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 | ||||
\(518\) | −305.752 | + | 592.694i | −0.590256 | + | 1.14420i | ||||
\(519\) | −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 | \(-0.560058\pi\) | ||||
−0.187561 | + | 0.982253i | \(0.560058\pi\) | |||||||
\(522\) | 308.334 | + | 16.2739i | 0.590679 | + | 0.0311761i | ||||
\(523\) | −516.575 | + | 516.575i | −0.987715 | + | 0.987715i | −0.999925 | − | 0.0122109i | \(-0.996113\pi\) |
0.0122109 | + | 0.999925i | \(0.496113\pi\) | |||||||
\(524\) | − | 458.975i | − | 0.875906i | ||||||
\(525\) | 424.016 | − | 309.574i | 0.807649 | − | 0.589664i | ||||
\(526\) | −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 | ||||
\(532\) | −997.242 | − | 514.446i | −1.87451 | − | 0.967003i | ||||
\(533\) | 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 | ||||
\(546\) | −554.957 | − | 61.2524i | −1.01641 | − | 0.112184i | ||||
\(547\) | −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 | ||||
\(553\) | 104.760 | + | 54.0426i | 0.189440 | + | 0.0977263i | ||||
\(554\) | 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 | ||||||||
\(560\) | 20.6152 | + | 2.19294i | 0.0368129 | + | 0.00391597i | ||||
\(561\) | 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 | \(0.00358273\pi\) |
0.0112552 | + | 0.999937i | \(0.496417\pi\) | |||||||
\(564\) | −653.678 | + | 1467.45i | −1.15900 | + | 2.60186i | ||||
\(565\) | 636.649 | + | 280.586i | 1.12681 | + | 0.496612i | ||||
\(566\) | −1217.08 | −2.15031 | ||||||||
\(567\) | 473.738 | + | 311.547i | 0.835517 | + | 0.549465i | ||||
\(568\) | 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 | 0.760643 | − | 0.649170i | \(-0.224884\pi\) |
−0.649170 | + | 0.760643i | \(0.724884\pi\) | |||||||
\(578\) | 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 | −0.119971 | − | 0.992777i | \(-0.538280\pi\) |
0.992777 | + | 0.119971i | \(0.0382803\pi\) | |||||||
\(588\) | 784.400 | + | 520.882i | 1.33401 | + | 0.885855i | ||||
\(589\) | − | 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 | 0.523135 | − | 0.852250i | \(-0.324762\pi\) |
−0.852250 | + | 0.523135i | \(0.824762\pi\) | |||||||
\(594\) | −925.441 | + | 300.124i | −1.55798 | + | 0.505260i | ||||
\(595\) | −263.437 | + | 212.779i | −0.442751 | + | 0.357613i | ||||
\(596\) | 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 | \(-0.987462\pi\) | ||
0.999224 | − | 0.0393782i | \(-0.0125377\pi\) | |||||||
\(602\) | 35.4913 | + | 18.3089i | 0.0589557 | + | 0.0304134i | ||||
\(603\) | 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 | \(-0.884560\pi\) |
−0.354769 | − | 0.934954i | \(-0.615440\pi\) | |||||||
\(608\) | −583.046 | − | 583.046i | −0.958957 | − | 0.958957i | ||||
\(609\) | −221.995 | − | 24.5023i | −0.364524 | − | 0.0402337i | ||||
\(610\) | 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 | \(-0.599883\pi\) | ||||
−0.308669 | + | 0.951170i | \(0.599883\pi\) | |||||||
\(620\) | −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 | ||||
\(623\) | −441.004 | − | 227.500i | −0.707872 | − | 0.365169i | ||||
\(624\) | −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 | ||||||
\(630\) | 1003.34 | + | 160.588i | 1.59260 | + | 0.254901i | ||||
\(631\) | 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 | ||||
\(637\) | 398.238 | + | 67.1823i | 0.625177 | + | 0.105467i | ||||
\(638\) | 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 | −0.390511 | − | 0.920598i | \(-0.627702\pi\) |
0.920598 | + | 0.390511i | \(0.127702\pi\) | |||||||
\(644\) | 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 | −0.542520 | − | 0.840043i | \(-0.682530\pi\) |
0.840043 | + | 0.542520i | \(0.182530\pi\) | |||||||
\(648\) | −395.164 | − | 488.729i | −0.609822 | − | 0.754211i | ||||
\(649\) | −784.239 | −1.20838 | ||||||||
\(650\) | −490.586 | + | 448.463i | −0.754748 | + | 0.689943i | ||||
\(651\) | −62.0817 | + | 562.471i | −0.0953636 | + | 0.864010i | ||||
\(652\) | 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 | ||||
\(658\) | 865.427 | − | 1677.61i | 1.31524 | − | 2.54956i | ||||
\(659\) | 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 | \(-0.813521\pi\) | ||
0.833247 | − | 0.552901i | \(-0.186479\pi\) | |||||||
\(662\) | 1031.20 | + | 1031.20i | 1.55771 | + | 1.55771i | ||||
\(663\) | 223.362 | − | 85.6929i | 0.336895 | − | 0.129250i | ||||
\(664\) | 343.865 | 0.517869 | ||||||||
\(665\) | 870.998 | + | 92.6523i | 1.30977 | + | 0.139327i | ||||
\(666\) | −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 | ||||||||
\(672\) | 432.621 | + | 539.969i | 0.643781 | + | 0.803525i | ||||
\(673\) | −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 | −0.949700 | − | 0.313162i | \(-0.898612\pi\) |
0.313162 | + | 0.949700i | \(0.398612\pi\) | |||||||
\(678\) | 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 | \(0.100277\pi\) | ||||
−0.950787 | + | 0.309844i | \(0.899723\pi\) | |||||||
\(692\) | −127.204 | + | 127.204i | −0.183821 | + | 0.183821i | ||||
\(693\) | 680.731 | − | 178.471i | 0.982296 | − | 0.257534i | ||||
\(694\) | − | 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 | ||||
\(700\) | 1082.02 | − | 292.839i | 1.54574 | − | 0.418342i | ||||
\(701\) | 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 | ||||||||
\(707\) | −176.335 | + | 341.822i | −0.249413 | + | 0.483482i | ||||
\(708\) | −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 | ||||
\(714\) | −651.455 | − | 71.9031i | −0.912401 | − | 0.100705i | ||||
\(715\) | −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 | \(0.0355396\pi\) | ||||
−0.993773 | + | 0.111419i | \(0.964460\pi\) | |||||||
\(720\) | 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 | 0.995525 | − | 0.0944960i | \(-0.0301240\pi\) |
−0.0944960 | + | 0.995525i | \(0.530124\pi\) | |||||||
\(728\) | −397.851 | − | 205.239i | −0.546498 | − | 0.281921i | ||||
\(729\) | 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 | −0.842410 | − | 0.538838i | \(-0.818864\pi\) |
0.538838 | + | 0.842410i | \(0.318864\pi\) | |||||||
\(734\) | − | 1328.56i | − | 1.81003i | ||||||
\(735\) | −717.936 | − | 157.460i | −0.976783 | − | 0.214231i | ||||
\(736\) | 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 | ||||
\(742\) | 381.351 | − | 739.240i | 0.513950 | − | 0.996280i | ||||
\(743\) | −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 | ||||
\(756\) | 706.111 | + | 983.370i | 0.934009 | + | 1.30075i | ||||
\(757\) | −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 | \(-0.219327\pi\) | ||||
0.771859 | + | 0.635794i | \(0.219327\pi\) | |||||||
\(762\) | −844.699 | − | 2201.74i | −1.10853 | − | 2.88942i | ||||
\(763\) | −567.496 | − | 292.753i | −0.743769 | − | 0.383687i | ||||
\(764\) | 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 | \(-0.583175\pi\) | ||||
−0.258339 | + | 0.966054i | \(0.583175\pi\) | |||||||
\(770\) | 981.097 | − | 792.438i | 1.27415 | − | 1.02914i | ||||
\(771\) | −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 | 0.623520 | − | 0.781807i | \(-0.285702\pi\) |
−0.781807 | + | 0.623520i | \(0.785702\pi\) | |||||||
\(774\) | 34.3428 | + | 38.1701i | 0.0443706 | + | 0.0493153i | ||||
\(775\) | 454.535 | + | 497.228i | 0.586496 | + | 0.641584i | ||||
\(776\) | 1253.32 | 1.61510 | ||||||||
\(777\) | 484.043 | − | 387.814i | 0.622965 | − | 0.499117i | ||||
\(778\) | 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 | 0.803273 | − | 0.595610i | \(-0.203090\pi\) |
−0.595610 | + | 0.803273i | \(0.703090\pi\) | |||||||
\(788\) | −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 | −0.916808 | − | 0.399329i | \(-0.869243\pi\) |
0.399329 | + | 0.916808i | \(0.369243\pi\) | |||||||
\(798\) | 1060.00 | + | 1323.02i | 1.32832 | + | 1.65792i | ||||
\(799\) | 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 | ||||
\(805\) | −899.469 | + | 726.506i | −1.11735 | + | 0.902492i | ||||
\(806\) | − | 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 | \(-0.862213\pi\) | ||
0.907765 | − | 0.419479i | \(-0.137787\pi\) | |||||||
\(812\) | −423.801 | − | 218.625i | −0.521922 | − | 0.269243i | ||||
\(813\) | −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 | ||||
\(819\) | 448.281 | + | 262.049i | 0.547351 | + | 0.319962i | ||||
\(820\) | −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 | \(-0.402066\pi\) | ||||
0.302839 | + | 0.953042i | \(0.402066\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | 467.484 | + | 78.8641i | 0.561206 | + | 0.0946748i | ||||
\(834\) | −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 | \(0.0323790\pi\) | ||||
−0.994831 | + | 0.101546i | \(0.967621\pi\) | |||||||
\(840\) | 704.981 | + | 408.377i | 0.839263 | + | 0.486164i | ||||
\(841\) | −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 | ||||
\(847\) | 12.1268 | − | 23.5076i | 0.0143174 | − | 0.0277539i | ||||
\(848\) | 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 | −0.952936 | − | 0.303173i | \(-0.901954\pi\) |
0.303173 | + | 0.952936i | \(0.401954\pi\) | |||||||
\(854\) | −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 | −0.926894 | − | 0.375323i | \(-0.877532\pi\) |
0.375323 | + | 0.926894i | \(0.377532\pi\) | |||||||
\(858\) | −831.848 | + | 319.139i | −0.969520 | + | 0.371957i | ||||
\(859\) | 218.046 | 0.253837 | 0.126919 | − | 0.991913i | \(-0.459491\pi\) | ||||
0.126919 | + | 0.991913i | \(0.459491\pi\) | |||||||
\(860\) | 51.8327 | + | 22.8439i | 0.0602706 | + | 0.0265627i | ||||
\(861\) | 688.074 | + | 75.9450i | 0.799157 | + | 0.0882055i | ||||
\(862\) | 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 | ||||
\(868\) | −553.933 | + | 1073.79i | −0.638171 | + | 1.23708i | ||||
\(869\) | 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 | ||||||||
\(875\) | −704.648 | + | 518.745i | −0.805312 | + | 0.592851i | ||||
\(876\) | −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 | \(-0.341341\pi\) | ||||
0.478057 | + | 0.878329i | \(0.341341\pi\) | |||||||
\(882\) | −762.308 | − | 1201.06i | −0.864294 | − | 1.36174i | ||||
\(883\) | 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 | −0.369239 | − | 0.929334i | \(-0.620382\pi\) |
0.929334 | + | 0.369239i | \(0.120382\pi\) | |||||||
\(888\) | −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 | ||||
\(903\) | −23.2228 | − | 28.9852i | −0.0257174 | − | 0.0320988i | ||||
\(904\) | 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 | ||||
\(910\) | 925.325 | + | 98.4313i | 1.01684 | + | 0.108166i | ||||
\(911\) | 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 | ||||||||
\(917\) | 229.954 | − | 445.761i | 0.250768 | − | 0.486108i | ||||
\(918\) | −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 | ||||
\(924\) | 1493.51 | + | 164.843i | 1.61635 | + | 0.178402i | ||||
\(925\) | 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 | \(-0.923233\pi\) | ||
0.971059 | − | 0.238841i | \(-0.0767674\pi\) | |||||||
\(930\) | −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 | 0.542678 | − | 0.839941i | \(-0.317410\pi\) |
−0.839941 | + | 0.542678i | \(0.817410\pi\) | |||||||
\(938\) | −89.9573 | + | 174.380i | −0.0959033 | + | 0.185906i | ||||
\(939\) | −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 | \(-0.719587\pi\) | ||||
−0.636423 | + | 0.771340i | \(0.719587\pi\) | |||||||
\(942\) | −2724.86 | + | 1045.39i | −2.89263 | + | 1.10976i | ||||
\(943\) | 770.025 | − | 770.025i | 0.816569 | − | 0.816569i | ||||
\(944\) | 41.5855i | 0.0440524i | ||||||||
\(945\) | −791.609 | − | 516.120i | −0.837682 | − | 0.546159i | ||||
\(946\) | 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 | ||||
\(952\) | −467.030 | − | 240.926i | −0.490577 | − | 0.253074i | ||||
\(953\) | 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 | ||||
\(966\) | −2224.30 | − | 245.503i | −2.30259 | − | 0.254144i | ||||
\(967\) | 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 | \(-0.391704\pi\) | ||||
0.333697 | + | 0.942680i | \(0.391704\pi\) | |||||||
\(972\) | 401.460 | + | 1503.85i | 0.413025 | + | 1.54717i | ||||
\(973\) | 133.034 | − | 257.883i | 0.136725 | − | 0.265039i | ||||
\(974\) | −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 | ||||||||
\(980\) | −1310.75 | − | 862.964i | −1.33750 | − | 0.880576i | ||||
\(981\) | −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 | 0.996985 | − | 0.0775980i | \(-0.0247251\pi\) |
−0.0775980 | + | 0.996985i | \(0.524725\pi\) | |||||||
\(984\) | −700.939 | − | 312.234i | −0.712336 | − | 0.317311i | ||||
\(985\) | 322.683 | − | 732.167i | 0.327597 | − | 0.743316i | ||||
\(986\) | 331.931 | 0.336644 | ||||||||
\(987\) | −1370.08 | + | 1097.70i | −1.38812 | + | 1.11216i | ||||
\(988\) | −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 | 0.595128 | − | 0.803631i | \(-0.297101\pi\) |
−0.803631 | + | 0.595128i | \(0.797101\pi\) | |||||||
\(998\) | 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.83.4 | yes | 32 | |
3.2 | odd | 2 | inner | 105.3.k.d.83.13 | yes | 32 | |
5.2 | odd | 4 | inner | 105.3.k.d.62.14 | yes | 32 | |
7.6 | odd | 2 | inner | 105.3.k.d.83.3 | yes | 32 | |
15.2 | even | 4 | inner | 105.3.k.d.62.3 | ✓ | 32 | |
21.20 | even | 2 | inner | 105.3.k.d.83.14 | yes | 32 | |
35.27 | even | 4 | inner | 105.3.k.d.62.13 | yes | 32 | |
105.62 | odd | 4 | inner | 105.3.k.d.62.4 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.k.d.62.3 | ✓ | 32 | 15.2 | even | 4 | inner | |
105.3.k.d.62.4 | yes | 32 | 105.62 | odd | 4 | inner | |
105.3.k.d.62.13 | yes | 32 | 35.27 | even | 4 | inner | |
105.3.k.d.62.14 | yes | 32 | 5.2 | odd | 4 | inner | |
105.3.k.d.83.3 | yes | 32 | 7.6 | odd | 2 | inner | |
105.3.k.d.83.4 | yes | 32 | 1.1 | even | 1 | trivial | |
105.3.k.d.83.13 | yes | 32 | 3.2 | odd | 2 | inner | |
105.3.k.d.83.14 | yes | 32 | 21.20 | even | 2 | inner |