Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Character | \(\chi\) | \(=\) | 29.14 |
Dual form | 29.3.f.a.27.3 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0361447 | − | 0.320793i | −0.0180724 | − | 0.160397i | 0.981434 | − | 0.191798i | \(-0.0614317\pi\) |
−0.999507 | + | 0.0314009i | \(0.990003\pi\) | |||||||
\(3\) | −2.40292 | − | 3.82423i | −0.800974 | − | 1.27474i | −0.957891 | − | 0.287131i | \(-0.907298\pi\) |
0.156917 | − | 0.987612i | \(-0.449844\pi\) | |||||||
\(4\) | 3.79811 | − | 0.866894i | 0.949527 | − | 0.216723i | ||||
\(5\) | 1.11585 | + | 0.889864i | 0.223171 | + | 0.177973i | 0.728692 | − | 0.684841i | \(-0.240128\pi\) |
−0.505522 | + | 0.862814i | \(0.668700\pi\) | |||||||
\(6\) | −1.13993 | + | 0.909068i | −0.189989 | + | 0.151511i | ||||
\(7\) | −2.06382 | + | 9.04217i | −0.294831 | + | 1.29174i | 0.582884 | + | 0.812555i | \(0.301924\pi\) |
−0.877715 | + | 0.479183i | \(0.840933\pi\) | |||||||
\(8\) | −0.841863 | − | 2.40591i | −0.105233 | − | 0.300738i | ||||
\(9\) | −4.94574 | + | 10.2699i | −0.549526 | + | 1.14110i | ||||
\(10\) | 0.245130 | − | 0.390122i | 0.0245130 | − | 0.0390122i | ||||
\(11\) | 3.02175 | − | 8.63567i | 0.274705 | − | 0.785061i | −0.721039 | − | 0.692894i | \(-0.756335\pi\) |
0.995744 | − | 0.0921662i | \(-0.0293791\pi\) | |||||||
\(12\) | −12.4418 | − | 12.4418i | −1.03681 | − | 1.03681i | ||||
\(13\) | 7.25544 | + | 15.0661i | 0.558110 | + | 1.15893i | 0.968958 | + | 0.247224i | \(0.0795185\pi\) |
−0.410848 | + | 0.911704i | \(0.634767\pi\) | |||||||
\(14\) | 2.97526 | + | 0.335232i | 0.212519 | + | 0.0239451i | ||||
\(15\) | 0.721732 | − | 6.40555i | 0.0481155 | − | 0.427037i | ||||
\(16\) | 13.2986 | − | 6.40425i | 0.831160 | − | 0.400265i | ||||
\(17\) | −13.4875 | + | 13.4875i | −0.793380 | + | 0.793380i | −0.982042 | − | 0.188662i | \(-0.939585\pi\) |
0.188662 | + | 0.982042i | \(0.439585\pi\) | |||||||
\(18\) | 3.47329 | + | 1.21536i | 0.192960 | + | 0.0675198i | ||||
\(19\) | −6.13512 | − | 3.85495i | −0.322901 | − | 0.202892i | 0.360820 | − | 0.932635i | \(-0.382497\pi\) |
−0.683721 | + | 0.729743i | \(0.739640\pi\) | |||||||
\(20\) | 5.00955 | + | 2.41247i | 0.250478 | + | 0.120624i | ||||
\(21\) | 39.5385 | − | 13.8351i | 1.88279 | − | 0.658815i | ||||
\(22\) | −2.87949 | − | 0.657224i | −0.130886 | − | 0.0298738i | ||||
\(23\) | −26.9938 | − | 33.8491i | −1.17364 | − | 1.47170i | −0.850988 | − | 0.525184i | \(-0.823996\pi\) |
−0.322654 | − | 0.946517i | \(-0.604575\pi\) | |||||||
\(24\) | −7.17780 | + | 9.00068i | −0.299075 | + | 0.375028i | ||||
\(25\) | −5.10975 | − | 22.3873i | −0.204390 | − | 0.895491i | ||||
\(26\) | 4.57085 | − | 2.87206i | 0.175802 | − | 0.110464i | ||||
\(27\) | 10.7659 | − | 1.21302i | 0.398736 | − | 0.0449268i | ||||
\(28\) | 36.1322i | 1.29044i | ||||||||
\(29\) | 8.81918 | + | 27.6265i | 0.304110 | + | 0.952637i | ||||
\(30\) | −2.08095 | −0.0693649 | ||||||||
\(31\) | 2.27501 | + | 20.1913i | 0.0733874 | + | 0.651331i | 0.975526 | + | 0.219885i | \(0.0705681\pi\) |
−0.902138 | + | 0.431447i | \(0.858003\pi\) | |||||||
\(32\) | −7.95959 | − | 12.6676i | −0.248737 | − | 0.395863i | ||||
\(33\) | −40.2858 | + | 9.19497i | −1.22078 | + | 0.278635i | ||||
\(34\) | 4.81419 | + | 3.83919i | 0.141594 | + | 0.112917i | ||||
\(35\) | −10.3492 | + | 8.25322i | −0.295692 | + | 0.235806i | ||||
\(36\) | −9.88152 | + | 43.2937i | −0.274487 | + | 1.20260i | ||||
\(37\) | 5.54261 | + | 15.8399i | 0.149800 | + | 0.428104i | 0.994192 | − | 0.107622i | \(-0.0343236\pi\) |
−0.844392 | + | 0.535726i | \(0.820038\pi\) | |||||||
\(38\) | −1.01489 | + | 2.10744i | −0.0267076 | + | 0.0554590i | ||||
\(39\) | 40.1818 | − | 63.9490i | 1.03030 | − | 1.63972i | ||||
\(40\) | 1.20153 | − | 3.43378i | 0.0300383 | − | 0.0858445i | ||||
\(41\) | −11.0137 | − | 11.0137i | −0.268627 | − | 0.268627i | 0.559920 | − | 0.828547i | \(-0.310832\pi\) |
−0.828547 | + | 0.559920i | \(0.810832\pi\) | |||||||
\(42\) | −5.86733 | − | 12.1836i | −0.139698 | − | 0.290086i | ||||
\(43\) | −1.43070 | − | 0.161201i | −0.0332721 | − | 0.00374887i | 0.0953127 | − | 0.995447i | \(-0.469615\pi\) |
−0.128585 | + | 0.991699i | \(0.541043\pi\) | |||||||
\(44\) | 3.99073 | − | 35.4187i | 0.0906985 | − | 0.804971i | ||||
\(45\) | −14.6576 | + | 7.05871i | −0.325723 | + | 0.156860i | ||||
\(46\) | −9.88290 | + | 9.88290i | −0.214846 | + | 0.214846i | ||||
\(47\) | 52.6538 | + | 18.4244i | 1.12029 | + | 0.392008i | 0.825979 | − | 0.563701i | \(-0.190623\pi\) |
0.294314 | + | 0.955709i | \(0.404909\pi\) | |||||||
\(48\) | −56.4467 | − | 35.4678i | −1.17597 | − | 0.738913i | ||||
\(49\) | −33.3540 | − | 16.0624i | −0.680693 | − | 0.327805i | ||||
\(50\) | −6.99700 | + | 2.44836i | −0.139940 | + | 0.0489671i | ||||
\(51\) | 83.9885 | + | 19.1698i | 1.64683 | + | 0.375879i | ||||
\(52\) | 40.6176 | + | 50.9329i | 0.781108 | + | 0.979479i | ||||
\(53\) | 26.2579 | − | 32.9263i | 0.495432 | − | 0.621252i | −0.469760 | − | 0.882794i | \(-0.655660\pi\) |
0.965192 | + | 0.261542i | \(0.0842311\pi\) | |||||||
\(54\) | −0.778260 | − | 3.40978i | −0.0144122 | − | 0.0631441i | ||||
\(55\) | 11.0564 | − | 6.94719i | 0.201025 | − | 0.126313i | ||||
\(56\) | 23.4920 | − | 2.64692i | 0.419501 | − | 0.0472664i | ||||
\(57\) | 32.7252i | 0.574127i | ||||||||
\(58\) | 8.54363 | − | 3.82769i | 0.147304 | − | 0.0659946i | ||||
\(59\) | −40.0225 | −0.678348 | −0.339174 | − | 0.940724i | \(-0.610147\pi\) | ||||
−0.339174 | + | 0.940724i | \(0.610147\pi\) | |||||||
\(60\) | −2.81171 | − | 24.9547i | −0.0468619 | − | 0.415911i | ||||
\(61\) | −31.5754 | − | 50.2519i | −0.517629 | − | 0.823802i | 0.480969 | − | 0.876738i | \(-0.340285\pi\) |
−0.998598 | + | 0.0529356i | \(0.983142\pi\) | |||||||
\(62\) | 6.39500 | − | 1.45962i | 0.103145 | − | 0.0235422i | ||||
\(63\) | −82.6553 | − | 65.9154i | −1.31199 | − | 1.04628i | ||||
\(64\) | 42.3842 | − | 33.8003i | 0.662253 | − | 0.528129i | ||||
\(65\) | −5.31074 | + | 23.2679i | −0.0817037 | + | 0.357967i | ||||
\(66\) | 4.40581 | + | 12.5911i | 0.0667546 | + | 0.190774i | ||||
\(67\) | 27.0064 | − | 56.0793i | 0.403080 | − | 0.837004i | −0.596333 | − | 0.802737i | \(-0.703376\pi\) |
0.999413 | − | 0.0342668i | \(-0.0109096\pi\) | |||||||
\(68\) | −39.5347 | + | 62.9191i | −0.581392 | + | 0.925280i | ||||
\(69\) | −64.5829 | + | 184.567i | −0.935984 | + | 2.67489i | ||||
\(70\) | 3.02165 | + | 3.02165i | 0.0431664 | + | 0.0431664i | ||||
\(71\) | 16.5027 | + | 34.2683i | 0.232433 | + | 0.482652i | 0.984264 | − | 0.176704i | \(-0.0565434\pi\) |
−0.751831 | + | 0.659356i | \(0.770829\pi\) | |||||||
\(72\) | 28.8721 | + | 3.25311i | 0.401002 | + | 0.0451820i | ||||
\(73\) | 10.1706 | − | 90.2664i | 0.139323 | − | 1.23653i | −0.708294 | − | 0.705918i | \(-0.750535\pi\) |
0.847617 | − | 0.530609i | \(-0.178037\pi\) | |||||||
\(74\) | 4.88099 | − | 2.35056i | 0.0659593 | − | 0.0317643i | ||||
\(75\) | −73.3358 | + | 73.3358i | −0.977810 | + | 0.977810i | ||||
\(76\) | −26.6437 | − | 9.32302i | −0.350575 | − | 0.122671i | ||||
\(77\) | 71.8488 | + | 45.1456i | 0.933101 | + | 0.586306i | ||||
\(78\) | −21.9668 | − | 10.5787i | −0.281626 | − | 0.135624i | ||||
\(79\) | −68.6869 | + | 24.0346i | −0.869454 | + | 0.304235i | −0.727890 | − | 0.685694i | \(-0.759499\pi\) |
−0.141564 | + | 0.989929i | \(0.545213\pi\) | |||||||
\(80\) | 20.5381 | + | 4.68770i | 0.256727 | + | 0.0585962i | ||||
\(81\) | 33.4546 | + | 41.9508i | 0.413020 | + | 0.517911i | ||||
\(82\) | −3.13504 | + | 3.93121i | −0.0382321 | + | 0.0479416i | ||||
\(83\) | 14.4041 | + | 63.1083i | 0.173543 | + | 0.760341i | 0.984521 | + | 0.175265i | \(0.0560782\pi\) |
−0.810978 | + | 0.585076i | \(0.801065\pi\) | |||||||
\(84\) | 138.178 | − | 86.8230i | 1.64498 | − | 1.03361i | ||||
\(85\) | −27.0520 | + | 3.04803i | −0.318259 | + | 0.0358592i | ||||
\(86\) | 0.464786i | 0.00540449i | ||||||||
\(87\) | 84.4582 | − | 100.111i | 0.970784 | − | 1.15070i | ||||
\(88\) | −23.3205 | −0.265006 | ||||||||
\(89\) | −3.18582 | − | 28.2750i | −0.0357958 | − | 0.317696i | −0.998832 | − | 0.0483234i | \(-0.984612\pi\) |
0.963036 | − | 0.269373i | \(-0.0868164\pi\) | |||||||
\(90\) | 2.79418 | + | 4.44691i | 0.0310465 | + | 0.0494101i | ||||
\(91\) | −151.204 | + | 34.5113i | −1.66158 | + | 0.379245i | ||||
\(92\) | −131.869 | − | 105.162i | −1.43336 | − | 1.14306i | ||||
\(93\) | 71.7494 | − | 57.2182i | 0.771499 | − | 0.615250i | ||||
\(94\) | 4.00726 | − | 17.5569i | 0.0426304 | − | 0.186776i | ||||
\(95\) | −3.41551 | − | 9.76097i | −0.0359528 | − | 0.102747i | ||||
\(96\) | −29.3176 | + | 60.8786i | −0.305392 | + | 0.634152i | ||||
\(97\) | 59.0040 | − | 93.9044i | 0.608289 | − | 0.968086i | −0.390581 | − | 0.920568i | \(-0.627726\pi\) |
0.998870 | − | 0.0475179i | \(-0.0151311\pi\) | |||||||
\(98\) | −3.94715 | + | 11.2803i | −0.0402770 | + | 0.115105i | ||||
\(99\) | 73.7429 | + | 73.7429i | 0.744878 | + | 0.744878i | ||||
\(100\) | −38.8148 | − | 80.5997i | −0.388148 | − | 0.805997i | ||||
\(101\) | 81.6300 | + | 9.19750i | 0.808218 | + | 0.0910643i | 0.506397 | − | 0.862300i | \(-0.330977\pi\) |
0.301821 | + | 0.953365i | \(0.402406\pi\) | |||||||
\(102\) | 3.11381 | − | 27.6358i | 0.0305276 | − | 0.270940i | ||||
\(103\) | −33.0306 | + | 15.9067i | −0.320686 | + | 0.154434i | −0.587300 | − | 0.809369i | \(-0.699809\pi\) |
0.266614 | + | 0.963803i | \(0.414095\pi\) | |||||||
\(104\) | 30.1395 | − | 30.1395i | 0.289802 | − | 0.289802i | ||||
\(105\) | 56.4306 | + | 19.7459i | 0.537434 | + | 0.188056i | ||||
\(106\) | −11.5116 | − | 7.23324i | −0.108600 | − | 0.0682381i | ||||
\(107\) | 58.0912 | + | 27.9752i | 0.542908 | + | 0.261451i | 0.685176 | − | 0.728377i | \(-0.259725\pi\) |
−0.142268 | + | 0.989828i | \(0.545439\pi\) | |||||||
\(108\) | 39.8384 | − | 13.9401i | 0.368874 | − | 0.129075i | ||||
\(109\) | 47.8026 | + | 10.9106i | 0.438556 | + | 0.100098i | 0.436098 | − | 0.899899i | \(-0.356360\pi\) |
0.00245858 | + | 0.999997i | \(0.499217\pi\) | |||||||
\(110\) | −2.62825 | − | 3.29572i | −0.0238931 | − | 0.0299610i | ||||
\(111\) | 47.2568 | − | 59.2581i | 0.425737 | − | 0.533857i | ||||
\(112\) | 30.4625 | + | 133.465i | 0.271987 | + | 1.19165i | ||||
\(113\) | −168.394 | + | 105.809i | −1.49021 | + | 0.936361i | −0.492390 | + | 0.870375i | \(0.663877\pi\) |
−0.997820 | + | 0.0659868i | \(0.978980\pi\) | |||||||
\(114\) | 10.4980 | − | 1.18284i | 0.0920881 | − | 0.0103758i | ||||
\(115\) | − | 61.7915i | − | 0.537317i | ||||||
\(116\) | 57.4454 | + | 97.2831i | 0.495219 | + | 0.838647i | ||||
\(117\) | −190.611 | −1.62915 | ||||||||
\(118\) | 1.44660 | + | 12.8390i | 0.0122594 | + | 0.108805i | ||||
\(119\) | −94.1202 | − | 149.791i | −0.790926 | − | 1.25875i | ||||
\(120\) | −16.0188 | + | 3.65618i | −0.133490 | + | 0.0304681i | ||||
\(121\) | 29.1579 | + | 23.2526i | 0.240974 | + | 0.192170i | ||||
\(122\) | −14.9792 | + | 11.9455i | −0.122780 | + | 0.0979141i | ||||
\(123\) | −15.6538 | + | 68.5840i | −0.127267 | + | 0.557593i | ||||
\(124\) | 26.1444 | + | 74.7165i | 0.210842 | + | 0.602552i | ||||
\(125\) | 29.7012 | − | 61.6752i | 0.237610 | − | 0.493401i | ||||
\(126\) | −18.1577 | + | 28.8978i | −0.144109 | + | 0.229347i | ||||
\(127\) | −2.18644 | + | 6.24848i | −0.0172161 | + | 0.0492007i | −0.952171 | − | 0.305567i | \(-0.901154\pi\) |
0.934955 | + | 0.354767i | \(0.115440\pi\) | |||||||
\(128\) | −54.6902 | − | 54.6902i | −0.427267 | − | 0.427267i | ||||
\(129\) | 2.82139 | + | 5.85868i | 0.0218713 | + | 0.0454162i | ||||
\(130\) | 7.65614 | + | 0.862640i | 0.0588934 | + | 0.00663569i | ||||
\(131\) | −9.20832 | + | 81.7261i | −0.0702925 | + | 0.623863i | 0.908338 | + | 0.418237i | \(0.137352\pi\) |
−0.978631 | + | 0.205627i | \(0.934077\pi\) | |||||||
\(132\) | −145.039 | + | 69.8470i | −1.09878 | + | 0.529144i | ||||
\(133\) | 47.5188 | − | 47.5188i | 0.357284 | − | 0.357284i | ||||
\(134\) | −18.9660 | − | 6.63649i | −0.141537 | − | 0.0495261i | ||||
\(135\) | 13.0926 | + | 8.22661i | 0.0969821 | + | 0.0609379i | ||||
\(136\) | 43.8041 | + | 21.0950i | 0.322089 | + | 0.155110i | ||||
\(137\) | 54.9656 | − | 19.2333i | 0.401209 | − | 0.140389i | −0.122129 | − | 0.992514i | \(-0.538972\pi\) |
0.523338 | + | 0.852125i | \(0.324686\pi\) | |||||||
\(138\) | 61.5423 | + | 14.0466i | 0.445959 | + | 0.101787i | ||||
\(139\) | −12.9334 | − | 16.2180i | −0.0930462 | − | 0.116676i | 0.733129 | − | 0.680090i | \(-0.238059\pi\) |
−0.826175 | + | 0.563414i | \(0.809488\pi\) | |||||||
\(140\) | −32.1528 | + | 40.3183i | −0.229663 | + | 0.287988i | ||||
\(141\) | −56.0640 | − | 245.632i | −0.397617 | − | 1.74207i | ||||
\(142\) | 10.3966 | − | 6.53259i | 0.0732152 | − | 0.0460042i | ||||
\(143\) | 152.030 | − | 17.1296i | 1.06314 | − | 0.119788i | ||||
\(144\) | 168.249i | 1.16840i | ||||||||
\(145\) | −14.7429 | + | 38.6750i | −0.101675 | + | 0.266724i | ||||
\(146\) | −29.3245 | −0.200853 | ||||||||
\(147\) | 18.7206 | + | 166.150i | 0.127351 | + | 1.13027i | ||||
\(148\) | 34.7829 | + | 55.3567i | 0.235020 | + | 0.374032i | ||||
\(149\) | 59.1793 | − | 13.5073i | 0.397177 | − | 0.0906530i | −0.0192673 | − | 0.999814i | \(-0.506133\pi\) |
0.416444 | + | 0.909161i | \(0.363276\pi\) | |||||||
\(150\) | 26.1763 | + | 20.8749i | 0.174509 | + | 0.139166i | ||||
\(151\) | −68.4936 | + | 54.6219i | −0.453600 | + | 0.361734i | −0.823480 | − | 0.567346i | \(-0.807970\pi\) |
0.369880 | + | 0.929080i | \(0.379399\pi\) | |||||||
\(152\) | −4.10972 | + | 18.0058i | −0.0270376 | + | 0.118459i | ||||
\(153\) | −71.8098 | − | 205.221i | −0.469345 | − | 1.34131i | ||||
\(154\) | 11.8855 | − | 24.6804i | 0.0771783 | − | 0.160262i | ||||
\(155\) | −15.4289 | + | 24.5550i | −0.0995413 | + | 0.158419i | ||||
\(156\) | 97.1780 | − | 277.719i | 0.622936 | − | 1.78025i | ||||
\(157\) | −78.9251 | − | 78.9251i | −0.502708 | − | 0.502708i | 0.409571 | − | 0.912278i | \(-0.365679\pi\) |
−0.912278 | + | 0.409571i | \(0.865679\pi\) | |||||||
\(158\) | 10.1928 | + | 21.1656i | 0.0645114 | + | 0.133959i | ||||
\(159\) | −189.013 | − | 21.2967i | −1.18876 | − | 0.133942i | ||||
\(160\) | 2.39071 | − | 21.2182i | 0.0149420 | − | 0.132614i | ||||
\(161\) | 361.780 | − | 174.224i | 2.24708 | − | 1.08214i | ||||
\(162\) | 12.2483 | − | 12.2483i | 0.0756070 | − | 0.0756070i | ||||
\(163\) | 262.325 | + | 91.7915i | 1.60936 | + | 0.563138i | 0.977314 | − | 0.211796i | \(-0.0679311\pi\) |
0.632042 | + | 0.774934i | \(0.282217\pi\) | |||||||
\(164\) | −51.3789 | − | 32.2835i | −0.313286 | − | 0.196851i | ||||
\(165\) | −53.1353 | − | 25.5886i | −0.322032 | − | 0.155083i | ||||
\(166\) | 19.7241 | − | 6.90176i | 0.118820 | − | 0.0415769i | ||||
\(167\) | −285.956 | − | 65.2676i | −1.71231 | − | 0.390824i | −0.749715 | − | 0.661761i | \(-0.769809\pi\) |
−0.962597 | + | 0.270937i | \(0.912666\pi\) | |||||||
\(168\) | −66.5720 | − | 83.4786i | −0.396262 | − | 0.496897i | ||||
\(169\) | −68.9753 | + | 86.4923i | −0.408138 | + | 0.511789i | ||||
\(170\) | 1.95558 | + | 8.56795i | 0.0115034 | + | 0.0503997i | ||||
\(171\) | 69.9327 | − | 43.9416i | 0.408963 | − | 0.256969i | ||||
\(172\) | −5.57371 | + | 0.628006i | −0.0324053 | + | 0.00365120i | ||||
\(173\) | − | 14.6046i | − | 0.0844195i | −0.999109 | − | 0.0422097i | \(-0.986560\pi\) | ||
0.999109 | − | 0.0422097i | \(-0.0134398\pi\) | |||||||
\(174\) | −35.1676 | − | 23.4752i | −0.202113 | − | 0.134915i | ||||
\(175\) | 212.975 | 1.21700 | ||||||||
\(176\) | −15.1200 | − | 134.194i | −0.0859092 | − | 0.762465i | ||||
\(177\) | 96.1710 | + | 153.055i | 0.543339 | + | 0.864719i | ||||
\(178\) | −8.95528 | + | 2.04398i | −0.0503105 | + | 0.0114831i | ||||
\(179\) | 86.0623 | + | 68.6324i | 0.480795 | + | 0.383421i | 0.833682 | − | 0.552245i | \(-0.186229\pi\) |
−0.352887 | + | 0.935666i | \(0.614800\pi\) | |||||||
\(180\) | −49.5519 | + | 39.5163i | −0.275288 | + | 0.219535i | ||||
\(181\) | −17.4302 | + | 76.3667i | −0.0962995 | + | 0.421916i | −0.999980 | − | 0.00629122i | \(-0.997997\pi\) |
0.903681 | + | 0.428207i | \(0.140855\pi\) | |||||||
\(182\) | 16.5362 | + | 47.2578i | 0.0908583 | + | 0.259658i | ||||
\(183\) | −116.302 | + | 241.503i | −0.635528 | + | 1.31969i | ||||
\(184\) | −58.7127 | + | 93.4408i | −0.319091 | + | 0.507830i | ||||
\(185\) | −7.91058 | + | 22.6071i | −0.0427599 | + | 0.122201i | ||||
\(186\) | −20.9486 | − | 20.9486i | −0.112627 | − | 0.112627i | ||||
\(187\) | 75.7175 | + | 157.229i | 0.404906 | + | 0.840797i | ||||
\(188\) | 215.957 | + | 24.3325i | 1.14871 | + | 0.129428i | ||||
\(189\) | −11.2504 | + | 99.8504i | −0.0595261 | + | 0.528309i | ||||
\(190\) | −3.00780 | + | 1.44848i | −0.0158305 | + | 0.00762359i | ||||
\(191\) | −187.870 | + | 187.870i | −0.983612 | + | 0.983612i | −0.999868 | − | 0.0162561i | \(-0.994825\pi\) |
0.0162561 | + | 0.999868i | \(0.494825\pi\) | |||||||
\(192\) | −231.106 | − | 80.8675i | −1.20368 | − | 0.421185i | ||||
\(193\) | −77.8526 | − | 48.9180i | −0.403381 | − | 0.253461i | 0.315027 | − | 0.949083i | \(-0.397986\pi\) |
−0.718409 | + | 0.695621i | \(0.755129\pi\) | |||||||
\(194\) | −32.2566 | − | 15.5340i | −0.166271 | − | 0.0800719i | ||||
\(195\) | 101.743 | − | 35.6014i | 0.521759 | − | 0.182571i | ||||
\(196\) | −140.606 | − | 32.0925i | −0.717380 | − | 0.163737i | ||||
\(197\) | −102.116 | − | 128.049i | −0.518354 | − | 0.649995i | 0.451905 | − | 0.892066i | \(-0.350745\pi\) |
−0.970259 | + | 0.242071i | \(0.922173\pi\) | |||||||
\(198\) | 20.9908 | − | 26.3217i | 0.106014 | − | 0.132938i | ||||
\(199\) | −44.0784 | − | 193.120i | −0.221499 | − | 0.970452i | −0.956350 | − | 0.292223i | \(-0.905605\pi\) |
0.734851 | − | 0.678229i | \(-0.237252\pi\) | |||||||
\(200\) | −49.5600 | + | 31.1406i | −0.247800 | + | 0.155703i | ||||
\(201\) | −279.354 | + | 31.4757i | −1.38982 | + | 0.156595i | ||||
\(202\) | − | 26.5188i | − | 0.131281i | ||||||
\(203\) | −268.004 | + | 22.7285i | −1.32022 | + | 0.111963i | ||||
\(204\) | 335.616 | 1.64517 | ||||||||
\(205\) | −2.48899 | − | 22.0904i | −0.0121414 | − | 0.107758i | ||||
\(206\) | 6.29666 | + | 10.0211i | 0.0305663 | + | 0.0486460i | ||||
\(207\) | 481.132 | − | 109.815i | 2.32431 | − | 0.530509i | ||||
\(208\) | 192.974 | + | 153.891i | 0.927758 | + | 0.739862i | ||||
\(209\) | −51.8288 | + | 41.3321i | −0.247985 | + | 0.197761i | ||||
\(210\) | 4.29469 | − | 18.8163i | 0.0204509 | − | 0.0896013i | ||||
\(211\) | 63.5268 | + | 181.549i | 0.301075 | + | 0.860423i | 0.990677 | + | 0.136234i | \(0.0434998\pi\) |
−0.689602 | + | 0.724189i | \(0.742214\pi\) | |||||||
\(212\) | 71.1867 | − | 147.821i | 0.335786 | − | 0.697267i | ||||
\(213\) | 91.3950 | − | 145.454i | 0.429085 | − | 0.682884i | ||||
\(214\) | 6.87458 | − | 19.6464i | 0.0321242 | − | 0.0918058i | ||||
\(215\) | −1.45301 | − | 1.45301i | −0.00675817 | − | 0.00675817i | ||||
\(216\) | −11.9818 | − | 24.8805i | −0.0554714 | − | 0.115187i | ||||
\(217\) | −187.268 | − | 21.1000i | −0.862986 | − | 0.0972352i | ||||
\(218\) | 1.77225 | − | 15.7291i | 0.00812957 | − | 0.0721520i | ||||
\(219\) | −369.639 | + | 178.009i | −1.68785 | + | 0.812824i | ||||
\(220\) | 35.9709 | − | 35.9709i | 0.163504 | − | 0.163504i | ||||
\(221\) | −301.060 | − | 105.346i | −1.36226 | − | 0.476677i | ||||
\(222\) | −20.7177 | − | 13.0178i | −0.0933230 | − | 0.0586387i | ||||
\(223\) | 221.904 | + | 106.863i | 0.995084 | + | 0.479207i | 0.859267 | − | 0.511527i | \(-0.170920\pi\) |
0.135817 | + | 0.990734i | \(0.456634\pi\) | |||||||
\(224\) | 130.970 | − | 45.8283i | 0.584687 | − | 0.204591i | ||||
\(225\) | 255.187 | + | 58.2448i | 1.13417 | + | 0.258866i | ||||
\(226\) | 40.0293 | + | 50.1952i | 0.177121 | + | 0.222103i | ||||
\(227\) | −98.4607 | + | 123.466i | −0.433748 | + | 0.543902i | −0.949883 | − | 0.312604i | \(-0.898799\pi\) |
0.516136 | + | 0.856507i | \(0.327370\pi\) | |||||||
\(228\) | 28.3693 | + | 124.294i | 0.124427 | + | 0.545149i | ||||
\(229\) | −67.0912 | + | 42.1562i | −0.292975 | + | 0.184088i | −0.670497 | − | 0.741912i | \(-0.733919\pi\) |
0.377522 | + | 0.926001i | \(0.376776\pi\) | |||||||
\(230\) | −19.8223 | + | 2.23344i | −0.0861839 | + | 0.00971059i | ||||
\(231\) | − | 383.248i | − | 1.65908i | ||||||
\(232\) | 59.0422 | − | 44.4758i | 0.254492 | − | 0.191706i | ||||
\(233\) | 266.277 | 1.14282 | 0.571409 | − | 0.820666i | \(-0.306397\pi\) | ||||
0.571409 | + | 0.820666i | \(0.306397\pi\) | |||||||
\(234\) | 6.88958 | + | 61.1467i | 0.0294427 | + | 0.261311i | ||||
\(235\) | 42.3588 | + | 67.4136i | 0.180250 | + | 0.286866i | ||||
\(236\) | −152.010 | + | 34.6953i | −0.644110 | + | 0.147014i | ||||
\(237\) | 256.963 | + | 204.921i | 1.08423 | + | 0.864646i | ||||
\(238\) | −44.6502 | + | 35.6073i | −0.187606 | + | 0.149611i | ||||
\(239\) | 98.7830 | − | 432.796i | 0.413318 | − | 1.81086i | −0.154834 | − | 0.987940i | \(-0.549484\pi\) |
0.568152 | − | 0.822924i | \(-0.307659\pi\) | |||||||
\(240\) | −31.4247 | − | 89.8067i | −0.130936 | − | 0.374195i | ||||
\(241\) | −57.9406 | + | 120.315i | −0.240417 | + | 0.499232i | −0.985909 | − | 0.167283i | \(-0.946501\pi\) |
0.745491 | + | 0.666515i | \(0.232215\pi\) | |||||||
\(242\) | 6.40538 | − | 10.1941i | 0.0264685 | − | 0.0421244i | ||||
\(243\) | 112.245 | − | 320.777i | 0.461913 | − | 1.32007i | ||||
\(244\) | −163.490 | − | 163.490i | −0.670040 | − | 0.670040i | ||||
\(245\) | −22.9248 | − | 47.6038i | −0.0935705 | − | 0.194301i | ||||
\(246\) | 22.5671 | + | 2.54270i | 0.0917361 | + | 0.0103362i | ||||
\(247\) | 13.5660 | − | 120.401i | 0.0549230 | − | 0.487455i | ||||
\(248\) | 46.6630 | − | 22.4717i | 0.188157 | − | 0.0906119i | ||||
\(249\) | 206.729 | − | 206.729i | 0.830236 | − | 0.830236i | ||||
\(250\) | −20.8585 | − | 7.29872i | −0.0834341 | − | 0.0291949i | ||||
\(251\) | 157.929 | + | 99.2334i | 0.629199 | + | 0.395352i | 0.808545 | − | 0.588434i | \(-0.200255\pi\) |
−0.179346 | + | 0.983786i | \(0.557398\pi\) | |||||||
\(252\) | −371.076 | − | 178.701i | −1.47252 | − | 0.709129i | ||||
\(253\) | −373.878 | + | 130.826i | −1.47778 | + | 0.517097i | ||||
\(254\) | 2.08350 | + | 0.475546i | 0.00820276 | + | 0.00187223i | ||||
\(255\) | 76.6603 | + | 96.1290i | 0.300629 | + | 0.376976i | ||||
\(256\) | 119.634 | − | 150.016i | 0.467319 | − | 0.585999i | ||||
\(257\) | 60.5477 | + | 265.277i | 0.235594 | + | 1.03221i | 0.944914 | + | 0.327319i | \(0.106145\pi\) |
−0.709320 | + | 0.704887i | \(0.750998\pi\) | |||||||
\(258\) | 1.77745 | − | 1.11685i | 0.00688934 | − | 0.00432886i | ||||
\(259\) | −154.666 | + | 17.4266i | −0.597164 | + | 0.0672843i | ||||
\(260\) | 92.9778i | 0.357607i | ||||||||
\(261\) | −327.339 | − | 46.0610i | −1.25417 | − | 0.176479i | ||||
\(262\) | 26.5500 | 0.101336 | ||||||||
\(263\) | 20.1675 | + | 178.992i | 0.0766826 | + | 0.680577i | 0.971973 | + | 0.235093i | \(0.0755396\pi\) |
−0.895290 | + | 0.445483i | \(0.853032\pi\) | |||||||
\(264\) | 56.0373 | + | 89.1829i | 0.212263 | + | 0.337814i | ||||
\(265\) | 58.5999 | − | 13.3750i | 0.221132 | − | 0.0504719i | ||||
\(266\) | −16.9613 | − | 13.5262i | −0.0637642 | − | 0.0508503i | ||||
\(267\) | −100.475 | + | 80.1259i | −0.376310 | + | 0.300097i | ||||
\(268\) | 53.9583 | − | 236.407i | 0.201337 | − | 0.882115i | ||||
\(269\) | 19.6598 | + | 56.1843i | 0.0730846 | + | 0.208864i | 0.974631 | − | 0.223819i | \(-0.0718526\pi\) |
−0.901546 | + | 0.432683i | \(0.857567\pi\) | |||||||
\(270\) | 2.16582 | − | 4.49736i | 0.00802154 | − | 0.0166569i | ||||
\(271\) | 6.36322 | − | 10.1270i | 0.0234805 | − | 0.0373691i | −0.834778 | − | 0.550587i | \(-0.814404\pi\) |
0.858258 | + | 0.513218i | \(0.171547\pi\) | |||||||
\(272\) | −92.9867 | + | 265.741i | −0.341863 | + | 0.976988i | ||||
\(273\) | 495.310 | + | 495.310i | 1.81432 | + | 1.81432i | ||||
\(274\) | −8.15664 | − | 16.9374i | −0.0297688 | − | 0.0618155i | ||||
\(275\) | −208.769 | − | 23.5227i | −0.759162 | − | 0.0855370i | ||||
\(276\) | −85.2926 | + | 756.993i | −0.309031 | + | 2.74273i | ||||
\(277\) | 302.145 | − | 145.505i | 1.09078 | − | 0.525290i | 0.200030 | − | 0.979790i | \(-0.435896\pi\) |
0.890747 | + | 0.454500i | \(0.150182\pi\) | |||||||
\(278\) | −4.73515 | + | 4.73515i | −0.0170329 | + | 0.0170329i | ||||
\(279\) | −218.615 | − | 76.4965i | −0.783565 | − | 0.274181i | ||||
\(280\) | 28.5691 | + | 17.9511i | 0.102032 | + | 0.0641112i | ||||
\(281\) | −17.7067 | − | 8.52710i | −0.0630132 | − | 0.0303456i | 0.402112 | − | 0.915591i | \(-0.368276\pi\) |
−0.465125 | + | 0.885245i | \(0.653991\pi\) | |||||||
\(282\) | −76.7709 | + | 26.8633i | −0.272237 | + | 0.0952599i | ||||
\(283\) | −352.519 | − | 80.4602i | −1.24565 | − | 0.284312i | −0.451632 | − | 0.892204i | \(-0.649158\pi\) |
−0.794019 | + | 0.607892i | \(0.792015\pi\) | |||||||
\(284\) | 92.3862 | + | 115.849i | 0.325304 | + | 0.407918i | ||||
\(285\) | −29.1210 | + | 36.5166i | −0.102179 | + | 0.128128i | ||||
\(286\) | −10.9901 | − | 48.1510i | −0.0384271 | − | 0.168360i | ||||
\(287\) | 122.318 | − | 76.8574i | 0.426195 | − | 0.267796i | ||||
\(288\) | 169.462 | − | 19.0937i | 0.588408 | − | 0.0662977i | ||||
\(289\) | − | 74.8232i | − | 0.258904i | ||||||
\(290\) | 12.9396 | + | 3.33152i | 0.0446192 | + | 0.0114880i | ||||
\(291\) | −500.894 | −1.72128 | ||||||||
\(292\) | −39.6224 | − | 351.659i | −0.135693 | − | 1.20431i | ||||
\(293\) | 240.077 | + | 382.081i | 0.819377 | + | 1.30403i | 0.949890 | + | 0.312584i | \(0.101195\pi\) |
−0.130513 | + | 0.991447i | \(0.541663\pi\) | |||||||
\(294\) | 52.6232 | − | 12.0109i | 0.178990 | − | 0.0408534i | ||||
\(295\) | −44.6593 | − | 35.6146i | −0.151387 | − | 0.120727i | ||||
\(296\) | 33.4431 | − | 26.6700i | 0.112983 | − | 0.0901013i | ||||
\(297\) | 22.0565 | − | 96.6360i | 0.0742645 | − | 0.325374i | ||||
\(298\) | −6.47207 | − | 18.4961i | −0.0217184 | − | 0.0620675i | ||||
\(299\) | 314.122 | − | 652.280i | 1.05057 | − | 2.18154i | ||||
\(300\) | −214.963 | + | 342.112i | −0.716543 | + | 1.14037i | ||||
\(301\) | 4.41031 | − | 12.6039i | 0.0146522 | − | 0.0418736i | ||||
\(302\) | 19.9980 | + | 19.9980i | 0.0662186 | + | 0.0662186i | ||||
\(303\) | −160.977 | − | 334.273i | −0.531278 | − | 1.10321i | ||||
\(304\) | −106.276 | − | 11.9745i | −0.349593 | − | 0.0393896i | ||||
\(305\) | 9.48386 | − | 84.1716i | 0.0310946 | − | 0.275972i | ||||
\(306\) | −63.2379 | + | 30.4538i | −0.206660 | + | 0.0995222i | ||||
\(307\) | 306.449 | − | 306.449i | 0.998206 | − | 0.998206i | −0.00179262 | − | 0.999998i | \(-0.500571\pi\) |
0.999998 | + | 0.00179262i | \(0.000570608\pi\) | |||||||
\(308\) | 312.026 | + | 109.183i | 1.01307 | + | 0.354489i | ||||
\(309\) | 140.201 | + | 88.0941i | 0.453725 | + | 0.285094i | ||||
\(310\) | 8.43474 | + | 4.06196i | 0.0272088 | + | 0.0131031i | ||||
\(311\) | −450.383 | + | 157.596i | −1.44818 | + | 0.506739i | −0.935956 | − | 0.352116i | \(-0.885462\pi\) |
−0.512219 | + | 0.858855i | \(0.671176\pi\) | |||||||
\(312\) | −187.683 | − | 42.8374i | −0.601548 | − | 0.137299i | ||||
\(313\) | 3.32825 | + | 4.17350i | 0.0106334 | + | 0.0133339i | 0.787120 | − | 0.616800i | \(-0.211571\pi\) |
−0.776486 | + | 0.630134i | \(0.783000\pi\) | |||||||
\(314\) | −22.4659 | + | 28.1714i | −0.0715476 | + | 0.0897178i | ||||
\(315\) | −33.5755 | − | 147.104i | −0.106589 | − | 0.466997i | ||||
\(316\) | −240.045 | + | 150.830i | −0.759635 | + | 0.477311i | ||||
\(317\) | 113.076 | − | 12.7406i | 0.356705 | − | 0.0401910i | 0.0682062 | − | 0.997671i | \(-0.478272\pi\) |
0.288499 | + | 0.957480i | \(0.406844\pi\) | |||||||
\(318\) | 61.4041i | 0.193094i | ||||||||
\(319\) | 265.222 | + | 7.32085i | 0.831418 | + | 0.0229494i | ||||
\(320\) | 77.3722 | 0.241788 | ||||||||
\(321\) | −32.6049 | − | 289.376i | −0.101573 | − | 0.901484i | ||||
\(322\) | −68.9663 | − | 109.759i | −0.214181 | − | 0.340867i | ||||
\(323\) | 134.741 | − | 30.7537i | 0.417154 | − | 0.0952126i | ||||
\(324\) | 163.431 | + | 130.332i | 0.504418 | + | 0.402260i | ||||
\(325\) | 300.215 | − | 239.413i | 0.923738 | − | 0.736656i | ||||
\(326\) | 19.9644 | − | 87.4700i | 0.0612406 | − | 0.268313i | ||||
\(327\) | −73.1412 | − | 209.026i | −0.223673 | − | 0.639222i | ||||
\(328\) | −17.2259 | + | 35.7699i | −0.0525180 | + | 0.109055i | ||||
\(329\) | −275.264 | + | 438.080i | −0.836668 | + | 1.33155i | ||||
\(330\) | −6.28810 | + | 17.9704i | −0.0190549 | + | 0.0544556i | ||||
\(331\) | 166.103 | + | 166.103i | 0.501820 | + | 0.501820i | 0.912003 | − | 0.410183i | \(-0.134535\pi\) |
−0.410183 | + | 0.912003i | \(0.634535\pi\) | |||||||
\(332\) | 109.416 | + | 227.205i | 0.329567 | + | 0.684354i | ||||
\(333\) | −190.087 | − | 21.4176i | −0.570830 | − | 0.0643171i | ||||
\(334\) | −10.6016 | + | 94.0919i | −0.0317414 | + | 0.281712i | ||||
\(335\) | 80.0381 | − | 38.5443i | 0.238920 | − | 0.115058i | ||||
\(336\) | 437.201 | − | 437.201i | 1.30119 | − | 1.30119i | ||||
\(337\) | −310.333 | − | 108.590i | −0.920868 | − | 0.322226i | −0.172117 | − | 0.985077i | \(-0.555061\pi\) |
−0.748751 | + | 0.662851i | \(0.769346\pi\) | |||||||
\(338\) | 30.2392 | + | 19.0006i | 0.0894652 | + | 0.0562147i | ||||
\(339\) | 809.274 | + | 389.726i | 2.38724 | + | 1.14963i | ||||
\(340\) | −100.104 | + | 35.0280i | −0.294424 | + | 0.103024i | ||||
\(341\) | 181.240 | + | 41.3668i | 0.531494 | + | 0.121310i | ||||
\(342\) | −16.6239 | − | 20.8457i | −0.0486079 | − | 0.0609523i | ||||
\(343\) | −69.2759 | + | 86.8693i | −0.201971 | + | 0.253263i | ||||
\(344\) | 0.816619 | + | 3.57784i | 0.00237389 | + | 0.0104007i | ||||
\(345\) | −236.305 | + | 148.480i | −0.684941 | + | 0.430377i | ||||
\(346\) | −4.68505 | + | 0.527878i | −0.0135406 | + | 0.00152566i | ||||
\(347\) | − | 484.864i | − | 1.39730i | −0.715463 | − | 0.698651i | \(-0.753784\pi\) | ||
0.715463 | − | 0.698651i | \(-0.246216\pi\) | |||||||
\(348\) | 233.996 | − | 453.448i | 0.672402 | − | 1.30301i | ||||
\(349\) | −297.414 | −0.852190 | −0.426095 | − | 0.904678i | \(-0.640111\pi\) | ||||
−0.426095 | + | 0.904678i | \(0.640111\pi\) | |||||||
\(350\) | −7.69793 | − | 68.3210i | −0.0219941 | − | 0.195203i | ||||
\(351\) | 96.3867 | + | 153.399i | 0.274606 | + | 0.437033i | ||||
\(352\) | −133.445 | + | 30.4580i | −0.379106 | + | 0.0865284i | ||||
\(353\) | −307.816 | − | 245.475i | −0.871999 | − | 0.695396i | 0.0815384 | − | 0.996670i | \(-0.474017\pi\) |
−0.953538 | + | 0.301274i | \(0.902588\pi\) | |||||||
\(354\) | 45.6231 | − | 36.3832i | 0.128879 | − | 0.102777i | ||||
\(355\) | −12.0795 | + | 52.9236i | −0.0340267 | + | 0.149081i | ||||
\(356\) | −36.6115 | − | 104.630i | −0.102841 | − | 0.293904i | ||||
\(357\) | −346.673 | + | 719.875i | −0.971074 | + | 2.01646i | ||||
\(358\) | 18.9061 | − | 30.0889i | 0.0528104 | − | 0.0840472i | ||||
\(359\) | −45.0091 | + | 128.629i | −0.125374 | + | 0.358297i | −0.989413 | − | 0.145127i | \(-0.953641\pi\) |
0.864039 | + | 0.503424i | \(0.167927\pi\) | |||||||
\(360\) | 29.3222 | + | 29.3222i | 0.0814506 | + | 0.0814506i | ||||
\(361\) | −133.853 | − | 277.949i | −0.370784 | − | 0.769941i | ||||
\(362\) | 25.1280 | + | 2.83124i | 0.0694143 | + | 0.00782111i | ||||
\(363\) | 18.8593 | − | 167.381i | 0.0519539 | − | 0.461103i | ||||
\(364\) | −544.371 | + | 262.155i | −1.49552 | + | 0.720207i | ||||
\(365\) | 91.6737 | − | 91.6737i | 0.251161 | − | 0.251161i | ||||
\(366\) | 81.6763 | + | 28.5798i | 0.223159 | + | 0.0780868i | ||||
\(367\) | 12.1503 | + | 7.63452i | 0.0331070 | + | 0.0208025i | 0.548484 | − | 0.836161i | \(-0.315205\pi\) |
−0.515377 | + | 0.856964i | \(0.672348\pi\) | |||||||
\(368\) | −575.756 | − | 277.270i | −1.56456 | − | 0.753450i | ||||
\(369\) | 167.581 | − | 58.6390i | 0.454148 | − | 0.158913i | ||||
\(370\) | 7.53815 | + | 1.72053i | 0.0203734 | + | 0.00465009i | ||||
\(371\) | 243.534 | + | 305.382i | 0.656426 | + | 0.823132i | ||||
\(372\) | 222.910 | − | 279.520i | 0.599220 | − | 0.751398i | ||||
\(373\) | 147.677 | + | 647.015i | 0.395917 | + | 1.73462i | 0.643216 | + | 0.765685i | \(0.277600\pi\) |
−0.247300 | + | 0.968939i | \(0.579543\pi\) | |||||||
\(374\) | 47.7012 | − | 29.9727i | 0.127543 | − | 0.0801408i | ||||
\(375\) | −307.230 | + | 34.6165i | −0.819279 | + | 0.0923106i | ||||
\(376\) | − | 142.191i | − | 0.378167i | ||||||
\(377\) | −352.235 | + | 333.312i | −0.934311 | + | 0.884118i | ||||
\(378\) | 32.4380 | 0.0858148 | ||||||||
\(379\) | 56.5377 | + | 501.786i | 0.149176 | + | 1.32397i | 0.815693 | + | 0.578484i | \(0.196356\pi\) |
−0.666517 | + | 0.745489i | \(0.732216\pi\) | |||||||
\(380\) | −21.4342 | − | 34.1124i | −0.0564058 | − | 0.0897694i | ||||
\(381\) | 29.1495 | − | 6.65318i | 0.0765078 | − | 0.0174624i | ||||
\(382\) | 67.0579 | + | 53.4769i | 0.175544 | + | 0.139992i | ||||
\(383\) | −201.835 | + | 160.958i | −0.526984 | + | 0.420256i | −0.850506 | − | 0.525965i | \(-0.823704\pi\) |
0.323522 | + | 0.946220i | \(0.395133\pi\) | |||||||
\(384\) | −77.7316 | + | 340.564i | −0.202426 | + | 0.886886i | ||||
\(385\) | 39.9993 | + | 114.312i | 0.103894 | + | 0.296913i | ||||
\(386\) | −12.8786 | + | 26.7427i | −0.0333643 | + | 0.0692817i | ||||
\(387\) | 8.73140 | − | 13.8959i | 0.0225618 | − | 0.0359068i | ||||
\(388\) | 142.699 | − | 407.809i | 0.367780 | − | 1.05105i | ||||
\(389\) | −161.691 | − | 161.691i | −0.415657 | − | 0.415657i | 0.468046 | − | 0.883704i | \(-0.344958\pi\) |
−0.883704 | + | 0.468046i | \(0.844958\pi\) | |||||||
\(390\) | −15.0982 | − | 31.3517i | −0.0387133 | − | 0.0803889i | ||||
\(391\) | 820.616 | + | 92.4613i | 2.09876 | + | 0.236474i | ||||
\(392\) | −10.5652 | + | 93.7688i | −0.0269521 | + | 0.239206i | ||||
\(393\) | 334.666 | − | 161.167i | 0.851568 | − | 0.410094i | ||||
\(394\) | −37.3864 | + | 37.3864i | −0.0948893 | + | 0.0948893i | ||||
\(395\) | −98.0320 | − | 34.3029i | −0.248182 | − | 0.0868427i | ||||
\(396\) | 344.011 | + | 216.156i | 0.868714 | + | 0.545849i | ||||
\(397\) | 167.789 | + | 80.8031i | 0.422643 | + | 0.203534i | 0.633102 | − | 0.774068i | \(-0.281781\pi\) |
−0.210458 | + | 0.977603i | \(0.567496\pi\) | |||||||
\(398\) | −60.3584 | + | 21.1203i | −0.151654 | + | 0.0530662i | ||||
\(399\) | −295.907 | − | 67.5388i | −0.741621 | − | 0.169270i | ||||
\(400\) | −211.326 | − | 264.994i | −0.528315 | − | 0.662486i | ||||
\(401\) | −75.3765 | + | 94.5192i | −0.187971 | + | 0.235709i | −0.866883 | − | 0.498511i | \(-0.833880\pi\) |
0.678912 | + | 0.734220i | \(0.262452\pi\) | |||||||
\(402\) | 20.1944 | + | 88.4773i | 0.0502348 | + | 0.220093i | ||||
\(403\) | −287.697 | + | 180.772i | −0.713888 | + | 0.448566i | ||||
\(404\) | 318.013 | − | 35.8315i | 0.787161 | − | 0.0886918i | ||||
\(405\) | 76.5810i | 0.189089i | ||||||||
\(406\) | 16.9781 | + | 85.1525i | 0.0418180 | + | 0.209735i | ||||
\(407\) | 153.536 | 0.377239 | ||||||||
\(408\) | −24.5860 | − | 218.207i | −0.0602598 | − | 0.534820i | ||||
\(409\) | −369.388 | − | 587.877i | −0.903148 | − | 1.43735i | −0.899287 | − | 0.437360i | \(-0.855914\pi\) |
−0.00386193 | − | 0.999993i | \(-0.501229\pi\) | |||||||
\(410\) | −6.99648 | + | 1.59690i | −0.0170646 | + | 0.00389488i | ||||
\(411\) | −205.631 | − | 163.985i | −0.500318 | − | 0.398990i | ||||
\(412\) | −111.665 | + | 89.0495i | −0.271031 | + | 0.216140i | ||||
\(413\) | 82.5991 | − | 361.890i | 0.199998 | − | 0.876247i | ||||
\(414\) | −52.6184 | − | 150.375i | −0.127098 | − | 0.363224i | ||||
\(415\) | −40.0850 | + | 83.2373i | −0.0965903 | + | 0.200572i | ||||
\(416\) | 133.101 | − | 211.829i | 0.319954 | − | 0.509204i | ||||
\(417\) | −30.9433 | + | 88.4310i | −0.0742046 | + | 0.212065i | ||||
\(418\) | 15.1324 | + | 15.1324i | 0.0362019 | + | 0.0362019i | ||||
\(419\) | −54.7621 | − | 113.715i | −0.130697 | − | 0.271395i | 0.825343 | − | 0.564632i | \(-0.190982\pi\) |
−0.956040 | + | 0.293237i | \(0.905268\pi\) | |||||||
\(420\) | 231.447 | + | 26.0778i | 0.551064 | + | 0.0620900i | ||||
\(421\) | 48.8429 | − | 433.493i | 0.116016 | − | 1.02967i | −0.791937 | − | 0.610603i | \(-0.790927\pi\) |
0.907953 | − | 0.419071i | \(-0.137644\pi\) | |||||||
\(422\) | 55.9436 | − | 26.9410i | 0.132568 | − | 0.0638413i | ||||
\(423\) | −449.629 | + | 449.629i | −1.06295 | + | 1.06295i | ||||
\(424\) | −101.323 | − | 35.4545i | −0.238970 | − | 0.0836191i | ||||
\(425\) | 370.865 | + | 233.030i | 0.872624 | + | 0.548306i | ||||
\(426\) | −49.9643 | − | 24.0615i | −0.117287 | − | 0.0564825i | ||||
\(427\) | 519.552 | − | 181.799i | 1.21675 | − | 0.425759i | ||||
\(428\) | 244.888 | + | 55.8941i | 0.572169 | + | 0.130594i | ||||
\(429\) | −430.823 | − | 540.235i | −1.00425 | − | 1.25929i | ||||
\(430\) | −0.413596 | + | 0.518633i | −0.000961852 | + | 0.00120612i | ||||
\(431\) | −11.3639 | − | 49.7884i | −0.0263663 | − | 0.115518i | 0.960032 | − | 0.279889i | \(-0.0902978\pi\) |
−0.986399 | + | 0.164371i | \(0.947441\pi\) | |||||||
\(432\) | 135.402 | − | 85.0788i | 0.313431 | − | 0.196942i | ||||
\(433\) | −270.069 | + | 30.4294i | −0.623716 | + | 0.0702759i | −0.418166 | − | 0.908371i | \(-0.637327\pi\) |
−0.205550 | + | 0.978647i | \(0.565898\pi\) | |||||||
\(434\) | 60.8370i | 0.140177i | ||||||||
\(435\) | 183.328 | − | 36.5528i | 0.421444 | − | 0.0840294i | ||||
\(436\) | 191.018 | 0.438115 | ||||||||
\(437\) | 35.1233 | + | 311.728i | 0.0803737 | + | 0.713336i | ||||
\(438\) | 70.4645 | + | 112.144i | 0.160878 | + | 0.256036i | ||||
\(439\) | 516.826 | − | 117.962i | 1.17728 | − | 0.268706i | 0.411257 | − | 0.911520i | \(-0.365090\pi\) |
0.766023 | + | 0.642813i | \(0.222233\pi\) | |||||||
\(440\) | −26.0223 | − | 20.7521i | −0.0591415 | − | 0.0471638i | ||||
\(441\) | 329.920 | − | 263.102i | 0.748118 | − | 0.596604i | ||||
\(442\) | −22.9124 | + | 100.386i | −0.0518381 | + | 0.227117i | ||||
\(443\) | −148.288 | − | 423.784i | −0.334737 | − | 0.956623i | −0.981084 | − | 0.193580i | \(-0.937990\pi\) |
0.646348 | − | 0.763043i | \(-0.276296\pi\) | |||||||
\(444\) | 128.116 | − | 266.036i | 0.288549 | − | 0.599179i | ||||
\(445\) | 21.6060 | − | 34.3857i | 0.0485527 | − | 0.0772712i | ||||
\(446\) | 26.2604 | − | 75.0478i | 0.0588797 | − | 0.168269i | ||||
\(447\) | −193.858 | − | 193.858i | −0.433687 | − | 0.433687i | ||||
\(448\) | 218.155 | + | 453.003i | 0.486952 | + | 1.01117i | ||||
\(449\) | −754.738 | − | 85.0385i | −1.68093 | − | 0.189395i | −0.780729 | − | 0.624869i | \(-0.785152\pi\) |
−0.900201 | + | 0.435474i | \(0.856581\pi\) | |||||||
\(450\) | 9.46088 | − | 83.9677i | 0.0210242 | − | 0.186595i | ||||
\(451\) | −128.391 | + | 61.8300i | −0.284681 | + | 0.137095i | ||||
\(452\) | −547.853 | + | 547.853i | −1.21206 | + | 1.21206i | ||||
\(453\) | 373.471 | + | 130.683i | 0.824440 | + | 0.288484i | ||||
\(454\) | 43.1659 | + | 27.1229i | 0.0950790 | + | 0.0597421i | ||||
\(455\) | −199.432 | − | 96.0412i | −0.438311 | − | 0.211080i | ||||
\(456\) | 78.7338 | − | 27.5501i | 0.172662 | − | 0.0604170i | ||||
\(457\) | 224.303 | + | 51.1956i | 0.490815 | + | 0.112025i | 0.460763 | − | 0.887523i | \(-0.347576\pi\) |
0.0300518 | + | 0.999548i | \(0.490433\pi\) | |||||||
\(458\) | 15.9484 | + | 19.9987i | 0.0348219 | + | 0.0436653i | ||||
\(459\) | −128.844 | + | 161.565i | −0.280706 | + | 0.351994i | ||||
\(460\) | −53.5666 | − | 234.691i | −0.116449 | − | 0.510197i | ||||
\(461\) | 670.322 | − | 421.191i | 1.45406 | − | 0.913646i | 0.454320 | − | 0.890839i | \(-0.349882\pi\) |
0.999740 | − | 0.0228077i | \(-0.00726055\pi\) | |||||||
\(462\) | −122.943 | + | 13.8524i | −0.266111 | + | 0.0299835i | ||||
\(463\) | 582.383i | 1.25785i | 0.777467 | + | 0.628923i | \(0.216504\pi\) | ||||
−0.777467 | + | 0.628923i | \(0.783496\pi\) | |||||||
\(464\) | 294.209 | + | 310.912i | 0.634071 | + | 0.670069i | ||||
\(465\) | 130.978 | 0.281674 | ||||||||
\(466\) | −9.62450 | − | 85.4198i | −0.0206534 | − | 0.183304i | ||||
\(467\) | 112.967 | + | 179.786i | 0.241899 | + | 0.384980i | 0.945504 | − | 0.325612i | \(-0.105570\pi\) |
−0.703605 | + | 0.710592i | \(0.748427\pi\) | |||||||
\(468\) | −723.961 | + | 165.239i | −1.54693 | + | 0.353076i | ||||
\(469\) | 451.342 | + | 359.933i | 0.962350 | + | 0.767448i | ||||
\(470\) | 20.0948 | − | 16.0251i | 0.0427549 | − | 0.0340959i | ||||
\(471\) | −112.177 | + | 491.479i | −0.238167 | + | 1.04348i | ||||
\(472\) | 33.6935 | + | 96.2904i | 0.0713845 | + | 0.204005i | ||||
\(473\) | −5.71530 | + | 11.8679i | −0.0120831 | + | 0.0250908i | ||||
\(474\) | 56.4495 | − | 89.8388i | 0.119092 | − | 0.189533i | ||||
\(475\) | −54.9529 | + | 157.046i | −0.115690 | + | 0.330624i | ||||
\(476\) | −487.332 | − | 487.332i | −1.02381 | − | 1.02381i | ||||
\(477\) | 208.287 | + | 432.512i | 0.436659 | + | 0.906733i | ||||
\(478\) | −142.409 | − | 16.0456i | −0.297926 | − | 0.0335682i | ||||
\(479\) | −15.9968 | + | 141.976i | −0.0333963 | + | 0.296400i | 0.965901 | + | 0.258912i | \(0.0833641\pi\) |
−0.999297 | + | 0.0374877i | \(0.988064\pi\) | |||||||
\(480\) | −86.8878 | + | 41.8430i | −0.181016 | + | 0.0871728i | ||||
\(481\) | −198.430 | + | 198.430i | −0.412537 | + | 0.412537i | ||||
\(482\) | 40.6905 | + | 14.2382i | 0.0844201 | + | 0.0295399i | ||||
\(483\) | −1535.60 | − | 964.882i | −3.17930 | − | 1.99768i | ||||
\(484\) | 130.902 | + | 63.0392i | 0.270459 | + | 0.130246i | ||||
\(485\) | 149.402 | − | 52.2780i | 0.308045 | − | 0.107790i | ||||
\(486\) | −106.960 | − | 24.4130i | −0.220083 | − | 0.0502325i | ||||
\(487\) | 237.781 | + | 298.169i | 0.488258 | + | 0.612256i | 0.963536 | − | 0.267580i | \(-0.0862239\pi\) |
−0.475278 | + | 0.879836i | \(0.657653\pi\) | |||||||
\(488\) | −94.3193 | + | 118.273i | −0.193277 | + | 0.242362i | ||||
\(489\) | −279.315 | − | 1223.76i | −0.571196 | − | 2.50257i | ||||
\(490\) | −14.4424 | + | 9.07475i | −0.0294742 | + | 0.0185199i | ||||
\(491\) | 364.670 | − | 41.0885i | 0.742709 | − | 0.0836832i | 0.267502 | − | 0.963557i | \(-0.413802\pi\) |
0.475207 | + | 0.879874i | \(0.342373\pi\) | |||||||
\(492\) | 274.060i | 0.557032i | ||||||||
\(493\) | −491.559 | − | 253.663i | −0.997078 | − | 0.514529i | ||||
\(494\) | −39.1143 | −0.0791788 | ||||||||
\(495\) | 16.6652 | + | 147.907i | 0.0336670 | + | 0.298803i | ||||
\(496\) | 159.564 | + | 253.945i | 0.321702 | + | 0.511986i | ||||
\(497\) | −343.918 | + | 78.4971i | −0.691989 | + | 0.157942i | ||||
\(498\) | −73.7894 | − | 58.8451i | −0.148171 | − | 0.118163i | ||||
\(499\) | −246.893 | + | 196.890i | −0.494775 | + | 0.394570i | −0.838842 | − | 0.544375i | \(-0.816767\pi\) |
0.344067 | + | 0.938945i | \(0.388195\pi\) | |||||||
\(500\) | 59.3426 | − | 259.997i | 0.118685 | − | 0.519994i | ||||
\(501\) | 437.532 | + | 1250.39i | 0.873317 | + | 2.49580i | ||||
\(502\) | 26.1251 | − | 54.2494i | 0.0520421 | − | 0.108066i | ||||
\(503\) | 371.635 | − | 591.454i | 0.738838 | − | 1.17585i | −0.239912 | − | 0.970795i | \(-0.577118\pi\) |
0.978750 | − | 0.205059i | \(-0.0657386\pi\) | |||||||
\(504\) | −89.0018 | + | 254.353i | −0.176591 | + | 0.504668i | ||||
\(505\) | 82.9027 | + | 82.9027i | 0.164164 | + | 0.164164i | ||||
\(506\) | 55.4818 | + | 115.209i | 0.109648 | + | 0.227686i | ||||
\(507\) | 496.508 | + | 55.9431i | 0.979307 | + | 0.110341i | ||||
\(508\) | −2.88756 | + | 25.6278i | −0.00568418 | + | 0.0504485i | ||||
\(509\) | 540.877 | − | 260.473i | 1.06263 | − | 0.511734i | 0.180904 | − | 0.983501i | \(-0.442098\pi\) |
0.881723 | + | 0.471767i | \(0.156384\pi\) | |||||||
\(510\) | 28.0667 | − | 28.0667i | 0.0550327 | − | 0.0550327i | ||||
\(511\) | 795.214 | + | 278.257i | 1.55619 | + | 0.544535i | ||||
\(512\) | −314.403 | − | 197.553i | −0.614069 | − | 0.385845i | ||||
\(513\) | −70.7261 | − | 34.0599i | −0.137868 | − | 0.0663935i | ||||
\(514\) | 82.9106 | − | 29.0117i | 0.161305 | − | 0.0564429i | ||||
\(515\) | −51.0122 | − | 11.6432i | −0.0990528 | − | 0.0226082i | ||||
\(516\) | 15.7948 | + | 19.8061i | 0.0306101 | + | 0.0383839i | ||||
\(517\) | 318.213 | − | 399.027i | 0.615499 | − | 0.771812i | ||||
\(518\) | 11.1807 | + | 48.9858i | 0.0215844 | + | 0.0945672i | ||||
\(519\) | −55.8512 | + | 35.0936i | −0.107613 | + | 0.0676178i | ||||
\(520\) | 60.4512 | − | 6.81122i | 0.116252 | − | 0.0130985i | ||||
\(521\) | 453.443i | 0.870331i | 0.900350 | + | 0.435166i | \(0.143310\pi\) | ||||
−0.900350 | + | 0.435166i | \(0.856690\pi\) | |||||||
\(522\) | −2.94447 | + | 106.673i | −0.00564074 | + | 0.204355i | ||||
\(523\) | −131.985 | −0.252361 | −0.126180 | − | 0.992007i | \(-0.540272\pi\) | ||||
−0.126180 | + | 0.992007i | \(0.540272\pi\) | |||||||
\(524\) | 35.8736 | + | 318.387i | 0.0684612 | + | 0.607610i | ||||
\(525\) | −511.763 | − | 814.466i | −0.974786 | − | 1.55136i | ||||
\(526\) | 56.6904 | − | 12.9392i | 0.107776 | − | 0.0245993i | ||||
\(527\) | −303.013 | − | 241.645i | −0.574977 | − | 0.458529i | ||||
\(528\) | −476.856 | + | 380.280i | −0.903136 | + | 0.720227i | ||||
\(529\) | −299.386 | + | 1311.70i | −0.565947 | + | 2.47958i | ||||
\(530\) | −6.40870 | − | 18.3150i | −0.0120919 | − | 0.0345567i | ||||
\(531\) | 197.941 | − | 411.028i | 0.372770 | − | 0.774065i | ||||
\(532\) | 139.288 | − | 221.675i | 0.261819 | − | 0.416683i | ||||
\(533\) | 86.0239 | − | 245.842i | 0.161396 | − | 0.461243i | ||||
\(534\) | 29.3355 | + | 29.3355i | 0.0549354 | + | 0.0549354i | ||||
\(535\) | 39.9271 | + | 82.9095i | 0.0746301 | + | 0.154971i | ||||
\(536\) | −157.657 | − | 17.7637i | −0.294136 | − | 0.0331412i | ||||
\(537\) | 55.6649 | − | 494.040i | 0.103659 | − | 0.920000i | ||||
\(538\) | 17.3130 | − | 8.33749i | 0.0321803 | − | 0.0154972i | ||||
\(539\) | −239.497 | + | 239.497i | −0.444336 | + | 0.444336i | ||||
\(540\) | 56.8586 | + | 19.8957i | 0.105294 | + | 0.0368439i | ||||
\(541\) | −413.693 | − | 259.940i | −0.764682 | − | 0.480481i | 0.0923617 | − | 0.995726i | \(-0.470558\pi\) |
−0.857043 | + | 0.515244i | \(0.827701\pi\) | |||||||
\(542\) | −3.47868 | − | 1.67524i | −0.00641822 | − | 0.00309085i | ||||
\(543\) | 333.927 | − | 116.846i | 0.614968 | − | 0.215186i | ||||
\(544\) | 278.209 | + | 63.4993i | 0.511413 | + | 0.116727i | ||||
\(545\) | 43.6317 | + | 54.7125i | 0.0800583 | + | 0.100390i | ||||
\(546\) | 140.989 | − | 176.795i | 0.258222 | − | 0.323800i | ||||
\(547\) | −96.3497 | − | 422.136i | −0.176142 | − | 0.771729i | −0.983388 | − | 0.181514i | \(-0.941900\pi\) |
0.807246 | − | 0.590215i | \(-0.200957\pi\) | |||||||
\(548\) | 192.092 | − | 120.700i | 0.350533 | − | 0.220255i | ||||
\(549\) | 672.247 | − | 75.7441i | 1.22449 | − | 0.137967i | ||||
\(550\) | 67.8221i | 0.123313i | ||||||||
\(551\) | 52.3920 | − | 203.489i | 0.0950853 | − | 0.369309i | ||||
\(552\) | 498.421 | 0.902937 | ||||||||
\(553\) | −75.5676 | − | 670.681i | −0.136650 | − | 1.21280i | ||||
\(554\) | −57.5981 | − | 91.6669i | −0.103968 | − | 0.165464i | ||||
\(555\) | 105.463 | − | 24.0713i | 0.190024 | − | 0.0433717i | ||||
\(556\) | −63.1818 | − | 50.3858i | −0.113636 | − | 0.0906220i | ||||
\(557\) | 67.2366 | − | 53.6194i | 0.120712 | − | 0.0962647i | −0.561273 | − | 0.827631i | \(-0.689688\pi\) |
0.681985 | + | 0.731366i | \(0.261117\pi\) | |||||||
\(558\) | −16.6378 | + | 72.8951i | −0.0298169 | + | 0.130636i | ||||
\(559\) | −7.95169 | − | 22.7246i | −0.0142249 | − | 0.0406523i | ||||
\(560\) | −84.7739 | + | 176.035i | −0.151382 | + | 0.314348i | ||||
\(561\) | 419.336 | − | 667.370i | 0.747480 | − | 1.18961i | ||||
\(562\) | −2.09543 | + | 5.98841i | −0.00372853 | + | 0.0106555i | ||||
\(563\) | −243.097 | − | 243.097i | −0.431788 | − | 0.431788i | 0.457448 | − | 0.889236i | \(-0.348764\pi\) |
−0.889236 | + | 0.457448i | \(0.848764\pi\) | |||||||
\(564\) | −425.874 | − | 884.337i | −0.755097 | − | 1.56797i | ||||
\(565\) | −282.058 | − | 31.7803i | −0.499218 | − | 0.0562484i | ||||
\(566\) | −13.0694 | + | 115.994i | −0.0230908 | + | 0.204937i | ||||
\(567\) | −448.370 | + | 215.924i | −0.790777 | + | 0.380818i | ||||
\(568\) | 68.5533 | − | 68.5533i | 0.120692 | − | 0.120692i | ||||
\(569\) | −135.305 | − | 47.3452i | −0.237794 | − | 0.0832077i | 0.208751 | − | 0.977969i | \(-0.433060\pi\) |
−0.446545 | + | 0.894761i | \(0.647346\pi\) | |||||||
\(570\) | 12.7668 | + | 8.02194i | 0.0223980 | + | 0.0140736i | ||||
\(571\) | −515.966 | − | 248.476i | −0.903618 | − | 0.435159i | −0.0764234 | − | 0.997075i | \(-0.524350\pi\) |
−0.827194 | + | 0.561916i | \(0.810064\pi\) | |||||||
\(572\) | 562.576 | − | 196.854i | 0.983524 | − | 0.344150i | ||||
\(573\) | 1169.89 | + | 267.021i | 2.04170 | + | 0.466005i | ||||
\(574\) | −29.0765 | − | 36.4608i | −0.0506560 | − | 0.0635206i | ||||
\(575\) | −619.859 | + | 777.278i | −1.07801 | + | 1.35179i | ||||
\(576\) | 137.505 | + | 602.450i | 0.238725 | + | 1.04592i | ||||
\(577\) | 569.679 | − | 357.953i | 0.987312 | − | 0.620369i | 0.0614016 | − | 0.998113i | \(-0.480443\pi\) |
0.925910 | + | 0.377744i | \(0.123300\pi\) | |||||||
\(578\) | −24.0028 | + | 2.70447i | −0.0415273 | + | 0.00467901i | ||||
\(579\) | 415.272i | 0.717224i | ||||||||
\(580\) | −22.4680 | + | 159.672i | −0.0387379 | + | 0.275297i | ||||
\(581\) | −600.363 | −1.03333 | ||||||||
\(582\) | 18.1047 | + | 160.683i | 0.0311077 | + | 0.276088i | ||||
\(583\) | −204.996 | − | 326.249i | −0.351623 | − | 0.559604i | ||||
\(584\) | −225.735 | + | 51.5225i | −0.386532 | + | 0.0882234i | ||||
\(585\) | −212.694 | − | 169.618i | −0.363579 | − | 0.289945i | ||||
\(586\) | 113.892 | − | 90.8255i | 0.194354 | − | 0.154992i | ||||
\(587\) | 64.3062 | − | 281.744i | 0.109551 | − | 0.479973i | −0.890154 | − | 0.455660i | \(-0.849403\pi\) |
0.999704 | − | 0.0243124i | \(-0.00773965\pi\) | |||||||
\(588\) | 215.137 | + | 614.827i | 0.365880 | + | 1.04562i | ||||
\(589\) | 63.8789 | − | 132.646i | 0.108453 | − | 0.225205i | ||||
\(590\) | −9.81073 | + | 15.6137i | −0.0166284 | + | 0.0264639i | ||||
\(591\) | −244.313 | + | 698.206i | −0.413389 | + | 1.18140i | ||||
\(592\) | 175.151 | + | 175.151i | 0.295863 | + | 0.295863i | ||||
\(593\) | 91.1724 | + | 189.321i | 0.153748 | + | 0.319260i | 0.963589 | − | 0.267389i | \(-0.0861609\pi\) |
−0.809841 | + | 0.586650i | \(0.800447\pi\) | |||||||
\(594\) | −31.7974 | − | 3.58271i | −0.0535310 | − | 0.00603150i | ||||
\(595\) | 28.2696 | − | 250.900i | 0.0475119 | − | 0.421680i | ||||
\(596\) | 213.060 | − | 102.604i | 0.357483 | − | 0.172155i | ||||
\(597\) | −632.618 | + | 632.618i | −1.05966 | + | 1.05966i | ||||
\(598\) | −220.601 | − | 77.1917i | −0.368898 | − | 0.129083i | ||||
\(599\) | 886.781 | + | 557.202i | 1.48044 | + | 0.930220i | 0.998541 | + | 0.0539909i | \(0.0171942\pi\) |
0.481895 | + | 0.876229i | \(0.339949\pi\) | |||||||
\(600\) | 238.178 | + | 114.700i | 0.396963 | + | 0.191167i | ||||
\(601\) | −513.064 | + | 179.529i | −0.853683 | + | 0.298717i | −0.721420 | − | 0.692498i | \(-0.756510\pi\) |
−0.132263 | + | 0.991215i | \(0.542224\pi\) | |||||||
\(602\) | −4.20267 | − | 0.959233i | −0.00698119 | − | 0.00159341i | ||||
\(603\) | 442.364 | + | 554.707i | 0.733605 | + | 0.919912i | ||||
\(604\) | −212.795 | + | 266.837i | −0.352310 | + | 0.441782i | ||||
\(605\) | 11.8442 | + | 51.8930i | 0.0195773 | + | 0.0857736i | ||||
\(606\) | −101.414 | + | 63.7227i | −0.167350 | + | 0.105153i | ||||
\(607\) | −281.310 | + | 31.6961i | −0.463444 | + | 0.0522176i | −0.340600 | − | 0.940208i | \(-0.610630\pi\) |
−0.122844 | + | 0.992426i | \(0.539202\pi\) | |||||||
\(608\) | 108.401i | 0.178291i | ||||||||
\(609\) | 730.913 | + | 970.295i | 1.20018 | + | 1.59326i | ||||
\(610\) | −27.3445 | −0.0448270 | ||||||||
\(611\) | 104.444 | + | 926.962i | 0.170939 | + | 1.51712i | ||||
\(612\) | −450.646 | − | 717.199i | −0.736350 | − | 1.17189i | ||||
\(613\) | −561.152 | + | 128.079i | −0.915419 | + | 0.208938i | −0.654183 | − | 0.756336i | \(-0.726987\pi\) |
−0.261236 | + | 0.965275i | \(0.584130\pi\) | |||||||
\(614\) | −109.383 | − | 87.2304i | −0.178149 | − | 0.142069i | ||||
\(615\) | −78.4978 | + | 62.5999i | −0.127639 | + | 0.101788i | ||||
\(616\) | 48.1292 | − | 210.868i | 0.0781318 | − | 0.342318i | ||||
\(617\) | −370.898 | − | 1059.96i | −0.601131 | − | 1.71793i | −0.691836 | − | 0.722055i | \(-0.743198\pi\) |
0.0907049 | − | 0.995878i | \(-0.471088\pi\) | |||||||
\(618\) | 23.1925 | − | 48.1597i | 0.0375283 | − | 0.0779283i | ||||
\(619\) | −78.0793 | + | 124.263i | −0.126138 | + | 0.200747i | −0.903823 | − | 0.427907i | \(-0.859251\pi\) |
0.777685 | + | 0.628654i | \(0.216394\pi\) | |||||||
\(620\) | −37.3141 | + | 106.638i | −0.0601841 | + | 0.171996i | ||||
\(621\) | −331.672 | − | 331.672i | −0.534093 | − | 0.534093i | ||||
\(622\) | 66.8346 | + | 138.784i | 0.107451 | + | 0.223125i | ||||
\(623\) | 262.242 | + | 29.5476i | 0.420934 | + | 0.0474279i | ||||
\(624\) | 124.815 | − | 1107.76i | 0.200024 | − | 1.77526i | ||||
\(625\) | −429.199 | + | 206.692i | −0.686719 | + | 0.330706i | ||||
\(626\) | 1.21853 | − | 1.21853i | 0.00194654 | − | 0.00194654i | ||||
\(627\) | 282.604 | + | 98.8875i | 0.450724 | + | 0.157715i | ||||
\(628\) | −368.186 | − | 231.347i | −0.586284 | − | 0.368386i | ||||
\(629\) | −288.395 | − | 138.884i | −0.458498 | − | 0.220801i | ||||
\(630\) | −45.9764 | + | 16.0878i | −0.0729784 | + | 0.0255363i | ||||
\(631\) | −314.703 | − | 71.8288i | −0.498736 | − | 0.113833i | −0.0342495 | − | 0.999413i | \(-0.510904\pi\) |
−0.464487 | + | 0.885580i | \(0.653761\pi\) | |||||||
\(632\) | 115.650 | + | 145.020i | 0.182990 | + | 0.229462i | ||||
\(633\) | 541.636 | − | 679.190i | 0.855664 | − | 1.07297i | ||||
\(634\) | −8.17417 | − | 35.8134i | −0.0128930 | − | 0.0564880i | ||||
\(635\) | −8.00004 | + | 5.02676i | −0.0125985 | + | 0.00791616i | ||||
\(636\) | −736.356 | + | 82.9674i | −1.15779 | + | 0.130452i | ||||
\(637\) | − | 619.053i | − | 0.971826i | ||||||
\(638\) | −7.23791 | − | 85.3462i | −0.0113447 | − | 0.133772i | ||||
\(639\) | −433.551 | −0.678484 | ||||||||
\(640\) | −12.3594 | − | 109.693i | −0.0193116 | − | 0.171396i | ||||
\(641\) | 642.548 | + | 1022.61i | 1.00241 | + | 1.59533i | 0.785231 | + | 0.619203i | \(0.212544\pi\) |
0.217183 | + | 0.976131i | \(0.430313\pi\) | |||||||
\(642\) | −91.6515 | + | 20.9189i | −0.142759 | + | 0.0325839i | ||||
\(643\) | −789.054 | − | 629.250i | −1.22714 | − | 0.978615i | −0.999989 | − | 0.00475703i | \(-0.998486\pi\) |
−0.227156 | − | 0.973858i | \(-0.572943\pi\) | |||||||
\(644\) | 1223.05 | − | 975.346i | 1.89914 | − | 1.51451i | ||||
\(645\) | −2.06517 | + | 9.04809i | −0.00320181 | + | 0.0140280i | ||||
\(646\) | −14.7357 | − | 42.1123i | −0.0228107 | − | 0.0651894i | ||||
\(647\) | −216.567 | + | 449.706i | −0.334725 | + | 0.695063i | −0.998606 | − | 0.0527747i | \(-0.983193\pi\) |
0.663882 | + | 0.747837i | \(0.268908\pi\) | |||||||
\(648\) | 72.7654 | − | 115.806i | 0.112292 | − | 0.178712i | ||||
\(649\) | −120.938 | + | 345.621i | −0.186345 | + | 0.532544i | ||||
\(650\) | −87.6534 | − | 87.6534i | −0.134851 | − | 0.134851i | ||||
\(651\) | 369.299 | + | 766.858i | 0.567280 | + | 1.17797i | ||||
\(652\) | 1075.91 | + | 121.226i | 1.65017 | + | 0.185930i | ||||
\(653\) | −44.5435 | + | 395.334i | −0.0682136 | + | 0.605413i | 0.912378 | + | 0.409349i | \(0.134244\pi\) |
−0.980591 | + | 0.196063i | \(0.937184\pi\) | |||||||
\(654\) | −64.4104 | + | 31.0184i | −0.0984868 | + | 0.0474287i | ||||
\(655\) | −83.0002 | + | 83.0002i | −0.126718 | + | 0.126718i | ||||
\(656\) | −217.001 | − | 75.9318i | −0.330794 | − | 0.115750i | ||||
\(657\) | 876.729 | + | 550.885i | 1.33444 | + | 0.838486i | ||||
\(658\) | 150.482 | + | 72.4685i | 0.228697 | + | 0.110135i | ||||
\(659\) | 600.803 | − | 210.230i | 0.911688 | − | 0.319013i | 0.166635 | − | 0.986019i | \(-0.446710\pi\) |
0.745053 | + | 0.667005i | \(0.232424\pi\) | |||||||
\(660\) | −223.996 | − | 51.1257i | −0.339388 | − | 0.0774632i | ||||
\(661\) | −638.575 | − | 800.748i | −0.966074 | − | 1.21142i | −0.977382 | − | 0.211483i | \(-0.932171\pi\) |
0.0113074 | − | 0.999936i | \(-0.496401\pi\) | |||||||
\(662\) | 47.2809 | − | 59.2883i | 0.0714213 | − | 0.0895594i | ||||
\(663\) | 320.559 | + | 1404.46i | 0.483498 | + | 2.11834i | ||||
\(664\) | 139.706 | − | 87.7833i | 0.210401 | − | 0.132204i | ||||
\(665\) | 95.3093 | − | 10.7388i | 0.143322 | − | 0.0161485i | ||||
\(666\) | 61.7526i | 0.0927217i | ||||||||
\(667\) | 697.069 | − | 1044.26i | 1.04508 | − | 1.56561i | ||||
\(668\) | −1142.67 | −1.71059 | ||||||||
\(669\) | −124.548 | − | 1105.39i | −0.186170 | − | 1.65231i | ||||
\(670\) | −15.2577 | − | 24.2825i | −0.0227727 | − | 0.0362426i | ||||
\(671\) | −529.372 | + | 120.826i | −0.788930 | + | 0.180068i | ||||
\(672\) | −489.968 | − | 390.737i | −0.729120 | − | 0.581453i | ||||
\(673\) | −148.207 | + | 118.191i | −0.220218 | + | 0.175618i | −0.727385 | − | 0.686230i | \(-0.759264\pi\) |
0.507166 | + | 0.861848i | \(0.330693\pi\) | |||||||
\(674\) | −23.6181 | + | 103.478i | −0.0350417 | + | 0.153528i | ||||
\(675\) | −82.1673 | − | 234.821i | −0.121729 | − | 0.347882i | ||||
\(676\) | −186.996 | + | 388.301i | −0.276621 | + | 0.574410i | ||||
\(677\) | −574.645 | + | 914.543i | −0.848812 | + | 1.35088i | 0.0862069 | + | 0.996277i | \(0.472525\pi\) |
−0.935019 | + | 0.354599i | \(0.884617\pi\) | |||||||
\(678\) | 95.7706 | − | 273.697i | 0.141255 | − | 0.403682i | ||||
\(679\) | 727.325 | + | 727.325i | 1.07117 | + | 1.07117i | ||||
\(680\) | 30.1074 | + | 62.5186i | 0.0442756 | + | 0.0919391i | ||||
\(681\) | 708.755 | + | 79.8575i | 1.04076 | + | 0.117265i | ||||
\(682\) | 6.71933 | − | 59.6357i | 0.00985239 | − | 0.0874423i | ||||
\(683\) | 639.821 | − | 308.122i | 0.936781 | − | 0.451130i | 0.0977481 | − | 0.995211i | \(-0.468836\pi\) |
0.839032 | + | 0.544081i | \(0.183122\pi\) | |||||||
\(684\) | 227.519 | − | 227.519i | 0.332631 | − | 0.332631i | ||||
\(685\) | 78.4486 | + | 27.4504i | 0.114524 | + | 0.0400735i | ||||
\(686\) | 30.3711 | + | 19.0834i | 0.0442727 | + | 0.0278184i | ||||
\(687\) | 322.430 | + | 155.274i | 0.469330 | + | 0.226017i | ||||
\(688\) | −20.0586 | + | 7.01882i | −0.0291550 | + | 0.0102018i | ||||
\(689\) | 686.583 | + | 156.708i | 0.996492 | + | 0.227443i | ||||
\(690\) | 56.1726 | + | 70.4382i | 0.0814096 | + | 0.102084i | ||||
\(691\) | 808.584 | − | 1013.93i | 1.17016 | − | 1.46734i | 0.314919 | − | 0.949119i | \(-0.398023\pi\) |
0.855246 | − | 0.518222i | \(-0.173406\pi\) | |||||||
\(692\) | −12.6606 | − | 55.4697i | −0.0182957 | − | 0.0801586i | ||||
\(693\) | −818.987 | + | 514.604i | −1.18180 | + | 0.742574i | ||||
\(694\) | −155.541 | + | 17.5253i | −0.224123 | + | 0.0252526i | ||||
\(695\) | − | 29.6059i | − | 0.0425984i | ||||||
\(696\) | −311.959 | − | 118.919i | −0.448217 | − | 0.170860i | ||||
\(697\) | 297.094 | 0.426246 | ||||||||
\(698\) | 10.7500 | + | 95.4085i | 0.0154011 | + | 0.136688i | ||||
\(699\) | −639.842 | − | 1018.30i | −0.915367 | − | 1.45680i | ||||
\(700\) | 808.903 | − | 184.627i | 1.15558 | − | 0.263753i | ||||
\(701\) | −507.886 | − | 405.025i | −0.724516 | − | 0.577782i | 0.190265 | − | 0.981733i | \(-0.439065\pi\) |
−0.914781 | + | 0.403951i | \(0.867637\pi\) | |||||||
\(702\) | 45.7254 | − | 36.4648i | 0.0651359 | − | 0.0519441i | ||||
\(703\) | 27.0573 | − | 118.546i | 0.0384883 | − | 0.168628i | ||||
\(704\) | −163.813 | − | 468.152i | −0.232690 | − | 0.664989i | ||||
\(705\) | 156.020 | − | 323.979i | 0.221305 | − | 0.459545i | ||||
\(706\) | −67.6208 | + | 107.618i | −0.0957802 | + | 0.152433i | ||||
\(707\) | −251.635 | + | 719.130i | −0.355919 | + | 1.01716i | ||||
\(708\) | 497.951 | + | 497.951i | 0.703320 | + | 0.703320i | ||||
\(709\) | −389.499 | − | 808.804i | −0.549365 | − | 1.14077i | −0.972111 | − | 0.234519i | \(-0.924648\pi\) |
0.422747 | − | 0.906248i | \(-0.361066\pi\) | |||||||
\(710\) | 17.4142 | + | 1.96210i | 0.0245270 | + | 0.00276353i | ||||
\(711\) | 92.8738 | − | 824.278i | 0.130624 | − | 1.15932i | ||||
\(712\) | −65.3449 | + | 31.4684i | −0.0917765 | + | 0.0441972i | ||||
\(713\) | 622.046 | − | 622.046i | 0.872435 | − | 0.872435i | ||||
\(714\) | 243.462 | + | 85.1909i | 0.340983 | + | 0.119315i | ||||
\(715\) | 184.886 | + | 116.171i | 0.258582 | + | 0.162478i | ||||
\(716\) | 386.371 | + | 186.066i | 0.539624 | + | 0.259869i | ||||
\(717\) | −1892.48 | + | 662.208i | −2.63944 | + | 0.923581i | ||||
\(718\) | 42.8901 | + | 9.78938i | 0.0597355 | + | 0.0136342i | ||||
\(719\) | −338.821 | − | 424.868i | −0.471239 | − | 0.590916i | 0.488235 | − | 0.872712i | \(-0.337641\pi\) |
−0.959474 | + | 0.281797i | \(0.909070\pi\) | |||||||
\(720\) | −149.719 | + | 187.741i | −0.207943 | + | 0.260752i | ||||
\(721\) | −75.6621 | − | 331.497i | −0.104940 | − | 0.459774i | ||||
\(722\) | −84.3260 | + | 52.9856i | −0.116795 | + | 0.0733872i | ||||
\(723\) | 599.339 | − | 67.5292i | 0.828961 | − | 0.0934014i | ||||
\(724\) | 305.159i | 0.421491i | ||||||||
\(725\) | 573.418 | − | 338.602i | 0.790921 | − | 0.467037i | ||||
\(726\) | −54.3762 | −0.0748984 | ||||||||
\(727\) | −27.9681 | − | 248.224i | −0.0384706 | − | 0.341436i | −0.998173 | − | 0.0604182i | \(-0.980757\pi\) |
0.959703 | − | 0.281018i | \(-0.0906720\pi\) | |||||||
\(728\) | 210.324 | + | 334.728i | 0.288906 | + | 0.459791i | ||||
\(729\) | −1025.63 | + | 234.094i | −1.40691 | + | 0.321117i | ||||
\(730\) | −32.7218 | − | 26.0948i | −0.0448244 | − | 0.0357463i | ||||
\(731\) | 21.4707 | − | 17.1223i | 0.0293717 | − | 0.0234232i | ||||
\(732\) | −232.369 | + | 1018.08i | −0.317444 | + | 1.39081i | ||||
\(733\) | 375.536 | + | 1073.22i | 0.512327 | + | 1.46415i | 0.851969 | + | 0.523592i | \(0.175408\pi\) |
−0.339642 | + | 0.940555i | \(0.610306\pi\) | |||||||
\(734\) | 2.00994 | − | 4.17368i | 0.00273833 | − | 0.00568621i | ||||
\(735\) | −126.961 | + | 202.058i | −0.172736 | + | 0.274909i | ||||
\(736\) | −213.928 | + | 611.372i | −0.290664 | + | 0.830669i | ||||
\(737\) | −402.675 | − | 402.675i | −0.546371 | − | 0.546371i | ||||
\(738\) | −24.8682 | − | 51.6393i | −0.0336967 | − | 0.0699720i | ||||
\(739\) | −1294.80 | − | 145.889i | −1.75209 | − | 0.197414i | −0.823198 | − | 0.567754i | \(-0.807813\pi\) |
−0.928896 | + | 0.370340i | \(0.879241\pi\) | |||||||
\(740\) | −10.4473 | + | 92.7220i | −0.0141179 | + | 0.125300i | ||||
\(741\) | −493.040 | + | 237.436i | −0.665372 | + | 0.320426i | ||||
\(742\) | 89.1621 | − | 89.1621i | 0.120165 | − | 0.120165i | ||||
\(743\) | 493.579 | + | 172.711i | 0.664305 | + | 0.232450i | 0.641306 | − | 0.767285i | \(-0.278393\pi\) |
0.0229990 | + | 0.999735i | \(0.492679\pi\) | |||||||
\(744\) | −198.065 | − | 124.452i | −0.266216 | − | 0.167275i | ||||
\(745\) | 78.0551 | + | 37.5894i | 0.104772 | + | 0.0504555i | ||||
\(746\) | 202.220 | − | 70.7600i | 0.271073 | − | 0.0948525i | ||||
\(747\) | −719.357 | − | 164.188i | −0.962994 | − | 0.219797i | ||||
\(748\) | 423.884 | + | 531.534i | 0.566690 | + | 0.710607i | ||||
\(749\) | −372.846 | + | 467.534i | −0.497792 | + | 0.624212i | ||||
\(750\) | 22.2095 | + | 97.3061i | 0.0296126 | + | 0.129741i | ||||
\(751\) | −18.4139 | + | 11.5702i | −0.0245192 | + | 0.0154064i | −0.544236 | − | 0.838932i | \(-0.683180\pi\) |
0.519717 | + | 0.854339i | \(0.326038\pi\) | |||||||
\(752\) | 818.213 | − | 92.1905i | 1.08805 | − | 0.122594i | ||||
\(753\) | − | 842.407i | − | 1.11873i | ||||||
\(754\) | 119.656 | + | 100.947i | 0.158695 | + | 0.133882i | ||||
\(755\) | −125.035 | −0.165609 | ||||||||
\(756\) | 43.8293 | + | 388.996i | 0.0579752 | + | 0.514544i | ||||
\(757\) | −65.6056 | − | 104.411i | −0.0866653 | − | 0.137927i | 0.800578 | − | 0.599228i | \(-0.204526\pi\) |
−0.887244 | + | 0.461301i | \(0.847383\pi\) | |||||||
\(758\) | 158.926 | − | 36.2739i | 0.209665 | − | 0.0478547i | ||||
\(759\) | 1398.71 | + | 1115.43i | 1.84283 | + | 1.46961i | ||||
\(760\) | −20.6086 | + | 16.4348i | −0.0271166 | + | 0.0216247i | ||||
\(761\) | −130.200 | + | 570.442i | −0.171090 | + | 0.749596i | 0.814461 | + | 0.580218i | \(0.197033\pi\) |
−0.985551 | + | 0.169377i | \(0.945824\pi\) | |||||||
\(762\) | −3.18790 | − | 9.11048i | −0.00418359 | − | 0.0119560i | ||||
\(763\) | −197.312 | + | 409.722i | −0.258600 | + | 0.536988i | ||||
\(764\) | −550.687 | + | 876.413i | −0.720795 | + | 1.14714i | ||||
\(765\) | 102.489 | − | 292.897i | 0.133973 | − | 0.382872i | ||||
\(766\) | 58.9295 | + | 58.9295i | 0.0769315 | + | 0.0769315i | ||||
\(767\) | −290.381 | − | 602.982i | −0.378593 | − | 0.786156i | ||||
\(768\) | −861.165 | − | 97.0300i | −1.12131 | − | 0.126341i | ||||
\(769\) | −150.151 | + | 1332.62i | −0.195255 | + | 1.73293i | 0.388892 | + | 0.921283i | \(0.372858\pi\) |
−0.584146 | + | 0.811648i | \(0.698571\pi\) | |||||||
\(770\) | 35.2246 | − | 16.9633i | 0.0457463 | − | 0.0220302i | ||||
\(771\) | 868.988 | − | 868.988i | 1.12709 | − | 1.12709i | ||||
\(772\) | −338.099 | − | 118.306i | −0.437953 | − | 0.153246i | ||||
\(773\) | 647.110 | + | 406.606i | 0.837140 | + | 0.526010i | 0.881049 | − | 0.473025i | \(-0.156838\pi\) |
−0.0439084 | + | 0.999036i | \(0.513981\pi\) | |||||||
\(774\) | −4.77332 | − | 2.29871i | −0.00616708 | − | 0.00296991i | ||||
\(775\) | 440.403 | − | 154.104i | 0.568262 | − | 0.198843i | ||||
\(776\) | −275.598 | − | 62.9035i | −0.355152 | − | 0.0810612i | ||||
\(777\) | 438.293 | + | 549.602i | 0.564083 | + | 0.707338i | ||||
\(778\) | −46.0251 | + | 57.7136i | −0.0591582 | + | 0.0741820i | ||||
\(779\) | 25.1131 | + | 110.028i | 0.0322376 | + | 0.141242i | ||||
\(780\) | 355.568 | − | 223.418i | 0.455857 | − | 0.286434i | ||||
\(781\) | 345.797 | − | 38.9620i | 0.442762 | − | 0.0498873i | ||||
\(782\) | − | 266.590i | − | 0.340908i | ||||||
\(783\) | 128.458 | + | 286.726i | 0.164058 | + | 0.366188i | ||||
\(784\) | −546.427 | −0.696973 | ||||||||
\(785\) | −17.8363 | − | 158.302i | −0.0227214 | − | 0.201658i | ||||
\(786\) | −63.7977 | − | 101.533i | −0.0811675 | − | 0.129177i | ||||
\(787\) | −114.188 | + | 26.0626i | −0.145092 | + | 0.0331163i | −0.294450 | − | 0.955667i | \(-0.595136\pi\) |
0.149358 | + | 0.988783i | \(0.452279\pi\) | |||||||
\(788\) | −498.852 | − | 397.821i | −0.633061 | − | 0.504849i | ||||
\(789\) | 636.044 | − | 507.228i | 0.806140 | − | 0.642875i | ||||
\(790\) | −7.46080 | + | 32.6879i | −0.00944405 | + | 0.0413771i | ||||
\(791\) | −609.207 | − | 1741.01i | −0.770174 | − | 2.20103i | ||||
\(792\) | 115.337 | − | 239.500i | 0.145628 | − | 0.302399i | ||||
\(793\) | 528.006 | − | 840.317i | 0.665833 | − | 1.05967i | ||||
\(794\) | 19.8564 | − | 56.7464i | 0.0250081 | − | 0.0714690i | ||||
\(795\) | −191.960 | − | 191.960i | −0.241459 | − | 0.241459i | ||||
\(796\) | −334.829 | − | 695.280i | −0.420640 | − | 0.873467i | ||||
\(797\) | 776.435 | + | 87.4832i | 0.974197 | + | 0.109766i | 0.584689 | − | 0.811257i | \(-0.301217\pi\) |
0.389508 | + | 0.921023i | \(0.372645\pi\) | |||||||
\(798\) | −10.9705 | + | 97.3662i | −0.0137475 | + | 0.122013i | ||||
\(799\) | −958.664 | + | 461.668i | −1.19983 | + | 0.577807i | ||||
\(800\) | −242.922 | + | 242.922i | −0.303653 | + | 0.303653i | ||||
\(801\) | 306.138 | + | 107.122i | 0.382195 | + | 0.133736i | ||||
\(802\) | 33.0456 | + | 20.7639i | 0.0412040 | + | 0.0258902i | ||||
\(803\) | −748.778 | − | 360.592i | −0.932475 | − | 0.449056i | ||||
\(804\) | −1033.73 | + | 361.718i | −1.28574 | + | 0.449898i | ||||
\(805\) | 558.729 | + | 127.526i | 0.694073 | + | 0.158418i | ||||
\(806\) | 68.3892 | + | 85.7573i | 0.0848501 | + | 0.106399i | ||||
\(807\) | 167.621 | − | 210.190i | 0.207709 | − | 0.260458i | ||||
\(808\) | −46.5930 | − | 204.137i | −0.0576646 | − | 0.252645i | ||||
\(809\) | −476.117 | + | 299.164i | −0.588526 | + | 0.369795i | −0.793133 | − | 0.609049i | \(-0.791551\pi\) |
0.204607 | + | 0.978844i | \(0.434408\pi\) | |||||||
\(810\) | 24.5667 | − | 2.76800i | 0.0303292 | − | 0.00341729i | ||||
\(811\) | 503.652i | 0.621026i | 0.950569 | + | 0.310513i | \(0.100501\pi\) | ||||
−0.950569 | + | 0.310513i | \(0.899499\pi\) | |||||||
\(812\) | −998.207 | + | 318.657i | −1.22932 | + | 0.392434i | ||||
\(813\) | −54.0184 | −0.0664432 | ||||||||
\(814\) | −5.54952 | − | 49.2534i | −0.00681760 | − | 0.0605078i | ||||
\(815\) | 211.034 | + | 335.859i | 0.258938 | + | 0.412097i | ||||
\(816\) | 1239.69 | − | 282.952i | 1.51923 | − | 0.346755i | ||||
\(817\) | 8.15609 | + | 6.50427i | 0.00998298 | + | 0.00796116i | ||||
\(818\) | −175.236 | + | 139.746i | −0.214225 | + | 0.170838i | ||||
\(819\) | 393.386 | − | 1723.54i | 0.480325 | − | 2.10444i | ||||
\(820\) | −28.6034 | − | 81.7439i | −0.0348822 | − | 0.0996877i | ||||
\(821\) | 53.3309 | − | 110.743i | 0.0649585 | − | 0.134888i | −0.865962 | − | 0.500110i | \(-0.833293\pi\) |
0.930920 | + | 0.365223i | \(0.119007\pi\) | |||||||
\(822\) | −45.1729 | + | 71.8922i | −0.0549548 | + | 0.0874601i | ||||
\(823\) | 178.958 | − | 511.434i | 0.217446 | − | 0.621426i | −0.782553 | − | 0.622584i | \(-0.786083\pi\) |
0.999999 | + | 0.00115806i | \(0.000368624\pi\) | |||||||
\(824\) | 66.0773 | + | 66.0773i | 0.0801909 | + | 0.0801909i | ||||
\(825\) | 411.701 | + | 854.905i | 0.499031 | + | 1.03625i | ||||
\(826\) | −119.078 | − | 13.4168i | −0.144162 | − | 0.0162431i | ||||
\(827\) | −57.9236 | + | 514.086i | −0.0700406 | + | 0.621628i | 0.908833 | + | 0.417161i | \(0.136975\pi\) |
−0.978873 | + | 0.204467i | \(0.934454\pi\) | |||||||
\(828\) | 1732.20 | − | 834.181i | 2.09202 | − | 1.00747i | ||||
\(829\) | 319.300 | − | 319.300i | 0.385163 | − | 0.385163i | −0.487795 | − | 0.872958i | \(-0.662199\pi\) |
0.872958 | + | 0.487795i | \(0.162199\pi\) | |||||||
\(830\) | 28.1508 | + | 9.85040i | 0.0339167 | + | 0.0118680i | ||||
\(831\) | −1282.48 | − | 805.834i | −1.54329 | − | 0.969716i | ||||
\(832\) | 816.753 | + | 393.328i | 0.981675 | + | 0.472750i | ||||
\(833\) | 666.502 | − | 233.219i | 0.800122 | − | 0.279975i | ||||
\(834\) | 29.4865 | + | 6.73011i | 0.0353555 | + | 0.00806967i | ||||
\(835\) | −261.006 | − | 327.291i | −0.312582 | − | 0.391965i | ||||
\(836\) | −161.021 | + | 201.914i | −0.192609 | + | 0.241524i | ||||
\(837\) | 48.9850 | + | 214.617i | 0.0585245 | + | 0.256413i | ||||
\(838\) | −34.4996 | + | 21.6775i | −0.0411689 | + | 0.0258681i | ||||
\(839\) | 809.054 | − | 91.1585i | 0.964307 | − | 0.108651i | 0.384252 | − | 0.923228i | \(-0.374459\pi\) |
0.580055 | + | 0.814577i | \(0.303031\pi\) | |||||||
\(840\) | − | 152.390i | − | 0.181417i | ||||||
\(841\) | −685.444 | + | 487.285i | −0.815035 | + | 0.579412i | ||||
\(842\) | −140.827 | −0.167253 | ||||||||
\(843\) | 9.93826 | + | 88.2045i | 0.0117892 | + | 0.104632i | ||||
\(844\) | 398.666 | + | 634.473i | 0.472353 | + | 0.751745i | ||||
\(845\) | −153.933 | + | 35.1341i | −0.182169 | + | 0.0415788i | ||||
\(846\) | 160.490 | + | 127.986i | 0.189704 | + | 0.151284i | ||||
\(847\) | −270.430 | + | 215.661i | −0.319280 | + | 0.254618i | ||||
\(848\) | 138.323 | − | 606.035i | 0.163117 | − | 0.714663i | ||||
\(849\) | 539.378 | + | 1541.45i | 0.635310 | + | 1.81561i | ||||
\(850\) | 61.3497 | − | 127.394i | 0.0721761 | − | 0.149875i | ||||
\(851\) | 386.550 | − | 615.190i | 0.454230 | − | 0.722903i | ||||
\(852\) | 221.035 | − | 631.682i | 0.259431 | − | 0.741410i | ||||
\(853\) | 410.706 | + | 410.706i | 0.481484 | + | 0.481484i | 0.905605 | − | 0.424121i | \(-0.139417\pi\) |
−0.424121 | + | 0.905605i | \(0.639417\pi\) | |||||||
\(854\) | −77.0991 | − | 160.098i | −0.0902799 | − | 0.187468i | ||||
\(855\) | 117.137 | + | 13.1981i | 0.137002 | + | 0.0154364i | ||||
\(856\) | 18.4010 | − | 163.313i | 0.0214965 | − | 0.190786i | ||||
\(857\) | 72.5636 | − | 34.9448i | 0.0846717 | − | 0.0407757i | −0.391069 | − | 0.920362i | \(-0.627894\pi\) |
0.475740 | + | 0.879586i | \(0.342180\pi\) | |||||||
\(858\) | −157.732 | + | 157.732i | −0.183837 | + | 0.183837i | ||||
\(859\) | −1227.43 | − | 429.496i | −1.42891 | − | 0.499996i | −0.498617 | − | 0.866822i | \(-0.666159\pi\) |
−0.930289 | + | 0.366827i | \(0.880444\pi\) | |||||||
\(860\) | −6.77828 | − | 4.25907i | −0.00788172 | − | 0.00495241i | ||||
\(861\) | −587.841 | − | 283.089i | −0.682742 | − | 0.328791i | ||||
\(862\) | −15.5611 | + | 5.44505i | −0.0180523 | + | 0.00631676i | ||||
\(863\) | −562.427 | − | 128.370i | −0.651711 | − | 0.148749i | −0.116132 | − | 0.993234i | \(-0.537050\pi\) |
−0.535579 | + | 0.844485i | \(0.679907\pi\) | |||||||
\(864\) | −101.058 | − | 126.723i | −0.116965 | − | 0.146670i | ||||
\(865\) | 12.9961 | − | 16.2966i | 0.0150244 | − | 0.0188400i | ||||
\(866\) | 19.5231 | + | 85.5365i | 0.0225440 | + | 0.0987719i | ||||
\(867\) | −286.141 | + | 179.794i | −0.330036 | + | 0.207375i | ||||
\(868\) | −729.556 | + | 82.2012i | −0.840502 | + | 0.0947019i | ||||
\(869\) | 665.783i | 0.766149i | ||||||||
\(870\) | −18.3522 | − | 57.4892i | −0.0210945 | − | 0.0660796i | ||||
\(871\) | 1040.84 | 1.19499 | ||||||||
\(872\) | −13.9933 | − | 124.194i | −0.0160473 | − | 0.142424i | ||||
\(873\) | 672.573 | + | 1070.39i | 0.770416 | + | 1.22611i | ||||
\(874\) | 98.7308 | − | 22.5347i | 0.112964 | − | 0.0257834i | ||||
\(875\) | 496.379 | + | 395.849i | 0.567291 | + | 0.452399i | ||||
\(876\) | −1249.61 | + | 996.533i | −1.42650 | + | 1.13760i | ||||
\(877\) | 189.702 | − | 831.137i | 0.216308 | − | 0.947705i | −0.743872 | − | 0.668322i | \(-0.767013\pi\) |
0.960180 | − | 0.279383i | \(-0.0901300\pi\) | |||||||
\(878\) | −56.5220 | − | 161.531i | −0.0643759 | − | 0.183976i | ||||
\(879\) | 884.278 | − | 1836.22i | 1.00600 | − | 2.08899i | ||||
\(880\) | 102.543 | − | 163.196i | 0.116526 | − | 0.185449i | ||||
\(881\) | 379.541 | − | 1084.67i | 0.430807 | − | 1.23118i | −0.500116 | − | 0.865959i | \(-0.666709\pi\) |
0.930923 | − | 0.365217i | \(-0.119005\pi\) | |||||||
\(882\) | −96.3264 | − | 96.3264i | −0.109214 | − | 0.109214i | ||||
\(883\) | 266.951 | + | 554.329i | 0.302322 | + | 0.627779i | 0.995684 | − | 0.0928113i | \(-0.0295853\pi\) |
−0.693361 | + | 0.720590i | \(0.743871\pi\) | |||||||
\(884\) | −1234.78 | − | 139.127i | −1.39681 | − | 0.157383i | ||||
\(885\) | −28.8855 | + | 256.366i | −0.0326390 | + | 0.289679i | ||||
\(886\) | −130.587 | + | 62.8875i | −0.147390 | + | 0.0709792i | ||||
\(887\) | −594.479 | + | 594.479i | −0.670214 | + | 0.670214i | −0.957765 | − | 0.287552i | \(-0.907159\pi\) |
0.287552 | + | 0.957765i | \(0.407159\pi\) | |||||||
\(888\) | −182.353 | − | 63.8082i | −0.205353 | − | 0.0718560i | ||||
\(889\) | −51.9874 | − | 32.6659i | −0.0584785 | − | 0.0367445i | ||||
\(890\) | −11.8116 | − | 5.68819i | −0.0132715 | − | 0.00639122i | ||||
\(891\) | 463.365 | − | 162.138i | 0.520050 | − | 0.181973i | ||||
\(892\) | 935.454 | + | 213.511i | 1.04871 | + | 0.239362i | ||||
\(893\) | −252.012 | − | 316.013i | −0.282208 | − | 0.353878i | ||||
\(894\) | −55.1815 | + | 69.1954i | −0.0617243 | + | 0.0773998i | ||||
\(895\) | 34.9595 | + | 153.167i | 0.0390608 | + | 0.171137i | ||||
\(896\) | 607.389 | − | 381.648i | 0.677889 | − | 0.425946i | ||||
\(897\) | −3249.28 | + | 366.106i | −3.62238 | + | 0.408145i | ||||
\(898\) | 245.189i | 0.273039i | ||||||||
\(899\) | −537.750 | + | 240.921i | −0.598165 | + | 0.267988i | ||||
\(900\) | 1019.72 | 1.13302 | ||||||||
\(901\) | 89.9406 | + | 798.245i | 0.0998231 | + | 0.885954i | ||||
\(902\) | 24.4753 | + | 38.9523i | 0.0271345 | + | 0.0431843i | ||||
\(903\) | −58.7980 | + | 13.4203i | −0.0651141 | + | 0.0148619i | ||||
\(904\) | 396.331 | + | 316.063i | 0.438419 | + | 0.349627i | ||||
\(905\) | −87.4056 | + | 69.7036i | −0.0965807 | + | 0.0770206i | ||||
\(906\) | 28.4233 | − | 124.531i | 0.0313723 | − | 0.137451i | ||||
\(907\) | 185.619 | + | 530.468i | 0.204651 | + | 0.584860i | 0.999767 | − | 0.0215982i | \(-0.00687545\pi\) |
−0.795115 | + | 0.606458i | \(0.792590\pi\) | |||||||
\(908\) | −266.933 | + | 554.292i | −0.293979 | + | 0.610453i | ||||
\(909\) | −498.178 | + | 792.846i | −0.548051 | + | 0.872218i | ||||
\(910\) | −23.6010 | + | 67.4477i | −0.0259351 | + | 0.0741184i | ||||
\(911\) | −184.062 | − | 184.062i | −0.202044 | − | 0.202044i | 0.598831 | − | 0.800875i | \(-0.295632\pi\) |
−0.800875 | + | 0.598831i | \(0.795632\pi\) | |||||||
\(912\) | 209.580 | + | 435.198i | 0.229803 | + | 0.477191i | ||||
\(913\) | 588.508 | + | 66.3089i | 0.644587 | + | 0.0726275i | ||||
\(914\) | 8.31585 | − | 73.8052i | 0.00909831 | − | 0.0807497i | ||||
\(915\) | −344.680 | + | 165.989i | −0.376700 | + | 0.181409i | ||||
\(916\) | −218.275 | + | 218.275i | −0.238291 | + | 0.238291i | ||||
\(917\) | −719.977 | − | 251.931i | −0.785144 | − | 0.274734i | ||||
\(918\) | 56.4860 | + | 35.4925i | 0.0615316 | + | 0.0386629i | ||||
\(919\) | −486.005 | − | 234.047i | −0.528841 | − | 0.254676i | 0.150357 | − | 0.988632i | \(-0.451958\pi\) |
−0.679198 | + | 0.733956i | \(0.737672\pi\) | |||||||
\(920\) | −148.664 | + | 52.0199i | −0.161592 | + | 0.0565434i | ||||
\(921\) | −1908.31 | − | 435.558i | −2.07199 | − | 0.472919i | ||||
\(922\) | −159.344 | − | 199.811i | −0.172824 | − | 0.216715i | ||||
\(923\) | −396.554 | + | 497.263i | −0.429636 | + | 0.538747i | ||||
\(924\) | −332.235 | − | 1455.62i | −0.359562 | − | 1.57534i | ||||
\(925\) | 326.290 | − | 205.022i | 0.352746 | − | 0.221645i | ||||
\(926\) | 186.825 | − | 21.0501i | 0.201755 | − | 0.0227323i | ||||
\(927\) | − | 417.893i | − | 0.450801i | ||||||
\(928\) | 279.765 | − | 331.613i | 0.301470 | − | 0.357342i | ||||
\(929\) | 1567.53 | 1.68733 | 0.843666 | − | 0.536869i | \(-0.180393\pi\) | ||||
0.843666 | + | 0.536869i | \(0.180393\pi\) | |||||||
\(930\) | −4.73417 | − | 42.0170i | −0.00509051 | − | 0.0451795i | ||||
\(931\) | 142.711 | + | 227.123i | 0.153287 | + | 0.243956i | ||||
\(932\) | 1011.35 | − | 230.833i | 1.08514 | − | 0.247675i | ||||
\(933\) | 1684.92 | + | 1343.68i | 1.80591 | + | 1.44017i | ||||
\(934\) | 53.5909 | − | 42.7373i | 0.0573778 | − | 0.0457573i | ||||
\(935\) | −55.4227 | + | 242.823i | −0.0592756 | + | 0.259703i | ||||
\(936\) | 160.468 | + | 458.592i | 0.171440 | + | 0.489949i | ||||
\(937\) | −729.434 | + | 1514.69i | −0.778478 | + | 1.61653i | 0.00882555 | + | 0.999961i | \(0.497191\pi\) |
−0.787304 | + | 0.616565i | \(0.788524\pi\) | |||||||
\(938\) | 99.1506 | − | 157.797i | 0.105704 | − | 0.168227i | ||||
\(939\) | 7.96287 | − | 22.7566i | 0.00848016 | − | 0.0242349i | ||||
\(940\) | 219.324 | + | 219.324i | 0.233323 | + | 0.233323i | ||||
\(941\) | 2.80284 | + | 5.82016i | 0.00297858 | + | 0.00618508i | 0.902453 | − | 0.430789i | \(-0.141765\pi\) |
−0.899474 | + | 0.436974i | \(0.856050\pi\) | |||||||
\(942\) | 161.718 | + | 18.2212i | 0.171675 | + | 0.0193431i | ||||
\(943\) | −75.5028 | + | 670.105i | −0.0800665 | + | 0.710610i | ||||
\(944\) | −532.242 | + | 256.314i | −0.563815 | + | 0.271519i | ||||
\(945\) | −101.407 | + | 101.407i | −0.107309 | + | 0.107309i | ||||
\(946\) | 4.01374 | + | 1.40447i | 0.00424285 | + | 0.00148464i | ||||
\(947\) | 1038.57 | + | 652.574i | 1.09669 | + | 0.689096i | 0.953740 | − | 0.300634i | \(-0.0971982\pi\) |
0.142951 | + | 0.989730i | \(0.454341\pi\) | |||||||
\(948\) | 1153.62 | + | 555.553i | 1.21690 | + | 0.586027i | ||||
\(949\) | 1433.75 | − | 501.692i | 1.51080 | − | 0.528653i | ||||
\(950\) | 52.3657 | + | 11.9521i | 0.0551218 | + | 0.0125812i | ||||
\(951\) | −320.434 | − | 401.812i | −0.336945 | − | 0.422515i | ||||
\(952\) | −281.148 | + | 352.548i | −0.295323 | + | 0.370324i | ||||
\(953\) | −247.527 | − | 1084.49i | −0.259735 | − | 1.13797i | −0.921536 | − | 0.388292i | \(-0.873065\pi\) |
0.661802 | − | 0.749679i | \(-0.269792\pi\) | |||||||
\(954\) | 131.218 | − | 82.4500i | 0.137546 | − | 0.0864256i | ||||
\(955\) | −376.814 | + | 42.4567i | −0.394569 | + | 0.0444573i | ||||
\(956\) | − | 1729.44i | − | 1.80904i | ||||||
\(957\) | −609.312 | − | 1031.86i | −0.636690 | − | 1.07823i | ||||
\(958\) | 46.1231 | 0.0481452 | ||||||||
\(959\) | 60.4718 | + | 536.702i | 0.0630572 | + | 0.559648i | ||||
\(960\) | −185.919 | − | 295.889i | −0.193666 | − | 0.308218i | ||||
\(961\) | 534.394 | − | 121.972i | 0.556081 | − | 0.126922i | ||||
\(962\) | 70.8274 | + | 56.4830i | 0.0736251 | + | 0.0587141i | ||||
\(963\) | −574.608 | + | 458.234i | −0.596685 | + | 0.475840i | ||||
\(964\) | −115.765 | + | 507.198i | −0.120088 | + | 0.526139i | ||||
\(965\) | −43.3417 | − | 123.864i | −0.0449137 | − | 0.128356i | ||||
\(966\) | −254.024 | + | 527.486i | −0.262965 | + | 0.546052i | ||||
\(967\) | −54.4142 | + | 86.5997i | −0.0562711 | + | 0.0895550i | −0.873675 | − | 0.486510i | \(-0.838270\pi\) |
0.817404 | + | 0.576065i | \(0.195413\pi\) | |||||||
\(968\) | 31.3967 | − | 89.7265i | 0.0324346 | − | 0.0926927i | ||||
\(969\) | −441.380 | − | 441.380i | −0.455501 | − | 0.455501i | ||||
\(970\) | −22.1705 | − | 46.0376i | −0.0228562 | − | 0.0474614i | ||||
\(971\) | −689.238 | − | 77.6584i | −0.709823 | − | 0.0799778i | −0.250332 | − | 0.968160i | \(-0.580540\pi\) |
−0.459491 | + | 0.888182i | \(0.651968\pi\) | |||||||
\(972\) | 148.238 | − | 1315.65i | 0.152508 | − | 1.35355i | ||||
\(973\) | 173.338 | − | 83.4752i | 0.178148 | − | 0.0857916i | ||||
\(974\) | 87.0560 | − | 87.0560i | 0.0893799 | − | 0.0893799i | ||||
\(975\) | −1636.96 | − | 572.799i | −1.67894 | − | 0.587486i | ||||
\(976\) | −741.733 | − | 466.062i | −0.759972 | − | 0.477522i | ||||
\(977\) | −1193.77 | − | 574.889i | −1.22187 | − | 0.588423i | −0.292040 | − | 0.956406i | \(-0.594334\pi\) |
−0.929832 | + | 0.367983i | \(0.880048\pi\) | |||||||
\(978\) | −382.478 | + | 133.835i | −0.391082 | + | 0.136845i | ||||
\(979\) | −253.800 | − | 57.9282i | −0.259244 | − | 0.0591708i | ||||
\(980\) | −128.338 | − | 160.931i | −0.130957 | − | 0.164215i | ||||
\(981\) | −348.471 | + | 436.968i | −0.355220 | + | 0.445432i | ||||
\(982\) | −26.3618 | − | 115.499i | −0.0268450 | − | 0.117616i | ||||
\(983\) | 895.500 | − | 562.680i | 0.910987 | − | 0.572411i | 0.00700229 | − | 0.999975i | \(-0.497771\pi\) |
0.903985 | + | 0.427564i | \(0.140628\pi\) | |||||||
\(984\) | 178.185 | − | 20.0766i | 0.181082 | − | 0.0204031i | ||||
\(985\) | − | 233.753i | − | 0.237313i | ||||||
\(986\) | −63.6061 | + | 166.858i | −0.0645092 | + | 0.169227i | ||||
\(987\) | 2336.75 | 2.36753 | ||||||||
\(988\) | −52.8501 | − | 469.058i | −0.0534920 | − | 0.474755i | ||||
\(989\) | 33.1635 | + | 52.7794i | 0.0335324 | + | 0.0533665i | ||||
\(990\) | 46.8454 | − | 10.6922i | 0.0473186 | − | 0.0108002i | ||||
\(991\) | 1276.10 | + | 1017.65i | 1.28769 | + | 1.02690i | 0.997553 | + | 0.0699086i | \(0.0222708\pi\) |
0.290132 | + | 0.956987i | \(0.406301\pi\) | |||||||
\(992\) | 237.667 | − | 189.533i | 0.239584 | − | 0.191062i | ||||
\(993\) | 236.083 | − | 1034.35i | 0.237747 | − | 1.04164i | ||||
\(994\) | 37.6122 | + | 107.490i | 0.0378392 | + | 0.108138i | ||||
\(995\) | 122.665 | − | 254.717i | 0.123282 | − | 0.255997i | ||||
\(996\) | 605.967 | − | 964.390i | 0.608400 | − | 0.968263i | ||||
\(997\) | 395.022 | − | 1128.91i | 0.396211 | − | 1.13230i | −0.557135 | − | 0.830422i | \(-0.688099\pi\) |
0.953345 | − | 0.301883i | \(-0.0976150\pi\) | |||||||
\(998\) | 72.0850 | + | 72.0850i | 0.0722294 | + | 0.0722294i | ||||
\(999\) | 78.8852 | + | 163.807i | 0.0789641 | + | 0.163971i |
(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 | 29.3.f.a.14.3 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.217.2 | 48 | |||
29.27 | odd | 28 | inner | 29.3.f.a.27.3 | yes | 48 | |
87.56 | even | 28 | 261.3.s.a.172.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.14.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.27.3 | yes | 48 | 29.27 | odd | 28 | inner | |
261.3.s.a.172.2 | 48 | 87.56 | even | 28 | |||
261.3.s.a.217.2 | 48 | 3.2 | odd | 2 |