Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(5,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.h (of order \(58\), degree \(28\), 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: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(1120\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 71.11 | ||
Character | \(\chi\) | \(=\) | 354.71 |
Dual form | 354.3.h.a.5.11 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{26}{29}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.451561 | − | 1.34018i | −0.225780 | − | 0.670092i | ||||
\(3\) | 0.908343 | + | 2.85918i | 0.302781 | + | 0.953060i | ||||
\(4\) | −1.59219 | + | 1.21035i | −0.398047 | + | 0.302587i | ||||
\(5\) | 4.52215 | − | 1.80179i | 0.904430 | − | 0.360358i | 0.128892 | − | 0.991659i | \(-0.458858\pi\) |
0.775538 | + | 0.631301i | \(0.217479\pi\) | |||||||
\(6\) | 3.42166 | − | 2.50844i | 0.570276 | − | 0.418073i | ||||
\(7\) | −8.14687 | − | 3.76914i | −1.16384 | − | 0.538449i | −0.259700 | − | 0.965689i | \(-0.583624\pi\) |
−0.904138 | + | 0.427241i | \(0.859486\pi\) | |||||||
\(8\) | 2.34106 | + | 1.58728i | 0.292632 | + | 0.198410i | ||||
\(9\) | −7.34983 | + | 5.19423i | −0.816648 | + | 0.577137i | ||||
\(10\) | −4.45675 | − | 5.24690i | −0.445675 | − | 0.524690i | ||||
\(11\) | −19.7070 | + | 5.47161i | −1.79154 | + | 0.497419i | −0.994336 | − | 0.106286i | \(-0.966104\pi\) |
−0.797207 | + | 0.603706i | \(0.793690\pi\) | |||||||
\(12\) | −4.90686 | − | 3.45294i | −0.408905 | − | 0.287745i | ||||
\(13\) | −2.77123 | − | 5.22710i | −0.213172 | − | 0.402085i | 0.753749 | − | 0.657163i | \(-0.228244\pi\) |
−0.966920 | + | 0.255078i | \(0.917899\pi\) | |||||||
\(14\) | −1.37254 | + | 12.6203i | −0.0980386 | + | 0.901450i | ||||
\(15\) | 9.25930 | + | 11.2930i | 0.617287 | + | 0.752867i | ||||
\(16\) | 1.07011 | − | 3.85420i | 0.0668821 | − | 0.240887i | ||||
\(17\) | −11.5893 | − | 25.0499i | −0.681725 | − | 1.47353i | −0.870838 | − | 0.491570i | \(-0.836423\pi\) |
0.189113 | − | 0.981955i | \(-0.439439\pi\) | |||||||
\(18\) | 10.2801 | + | 7.50461i | 0.571118 | + | 0.416923i | ||||
\(19\) | 10.6810 | + | 2.35106i | 0.562157 | + | 0.123740i | 0.486953 | − | 0.873428i | \(-0.338108\pi\) |
0.0752038 | + | 0.997168i | \(0.476039\pi\) | |||||||
\(20\) | −5.01931 | + | 8.34216i | −0.250966 | + | 0.417108i | ||||
\(21\) | 3.37651 | − | 26.7170i | 0.160786 | − | 1.27224i | ||||
\(22\) | 16.2319 | + | 23.9402i | 0.737812 | + | 1.08819i | ||||
\(23\) | −1.42616 | + | 0.233807i | −0.0620070 | + | 0.0101655i | −0.192706 | − | 0.981257i | \(-0.561726\pi\) |
0.130699 | + | 0.991422i | \(0.458278\pi\) | |||||||
\(24\) | −2.41183 | + | 8.13530i | −0.100493 | + | 0.338971i | ||||
\(25\) | −0.946496 | + | 0.896569i | −0.0378598 | + | 0.0358628i | ||||
\(26\) | −5.75390 | + | 6.07432i | −0.221304 | + | 0.233628i | ||||
\(27\) | −21.5274 | − | 16.2963i | −0.797311 | − | 0.603568i | ||||
\(28\) | 17.5333 | − | 3.85937i | 0.626189 | − | 0.137835i | ||||
\(29\) | −5.48489 | + | 16.2786i | −0.189134 | + | 0.561330i | −0.999704 | − | 0.0243114i | \(-0.992261\pi\) |
0.810570 | + | 0.585641i | \(0.199157\pi\) | |||||||
\(30\) | 10.9536 | − | 17.5086i | 0.365119 | − | 0.583621i | ||||
\(31\) | 40.6107 | − | 8.93909i | 1.31002 | − | 0.288358i | 0.495560 | − | 0.868574i | \(-0.334963\pi\) |
0.814462 | + | 0.580216i | \(0.197032\pi\) | |||||||
\(32\) | −5.64856 | + | 0.306256i | −0.176517 | + | 0.00957050i | ||||
\(33\) | −33.5450 | − | 51.3757i | −1.01652 | − | 1.55684i | ||||
\(34\) | −28.3382 | + | 26.8434i | −0.833477 | + | 0.789512i | ||||
\(35\) | −43.6325 | − | 2.36569i | −1.24664 | − | 0.0675911i | ||||
\(36\) | 5.41546 | − | 17.1660i | 0.150430 | − | 0.476834i | ||||
\(37\) | −20.4760 | − | 30.1999i | −0.553407 | − | 0.816214i | 0.443379 | − | 0.896334i | \(-0.353780\pi\) |
−0.996785 | + | 0.0801207i | \(0.974469\pi\) | |||||||
\(38\) | −1.67225 | − | 15.3761i | −0.0440067 | − | 0.404635i | ||||
\(39\) | 12.4280 | − | 12.6715i | 0.318667 | − | 0.324909i | ||||
\(40\) | 13.4466 | + | 2.95981i | 0.336164 | + | 0.0739952i | ||||
\(41\) | −73.7793 | − | 12.0955i | −1.79949 | − | 0.295012i | −0.833299 | − | 0.552822i | \(-0.813551\pi\) |
−0.966196 | + | 0.257810i | \(0.916999\pi\) | |||||||
\(42\) | −37.3304 | + | 7.53921i | −0.888820 | + | 0.179505i | ||||
\(43\) | −12.8858 | + | 46.4106i | −0.299671 | + | 1.07932i | 0.648411 | + | 0.761290i | \(0.275434\pi\) |
−0.948082 | + | 0.318026i | \(0.896980\pi\) | |||||||
\(44\) | 24.7546 | − | 32.5641i | 0.562605 | − | 0.740094i | ||||
\(45\) | −23.8781 | + | 36.7319i | −0.530625 | + | 0.816265i | ||||
\(46\) | 0.957342 | + | 1.80574i | 0.0208118 | + | 0.0392552i | ||||
\(47\) | −27.7140 | − | 11.0423i | −0.589661 | − | 0.234942i | 0.0561722 | − | 0.998421i | \(-0.482110\pi\) |
−0.645833 | + | 0.763479i | \(0.723490\pi\) | |||||||
\(48\) | 11.9919 | − | 0.441286i | 0.249831 | − | 0.00919347i | ||||
\(49\) | 20.4431 | + | 24.0674i | 0.417205 | + | 0.491172i | ||||
\(50\) | 1.62897 | + | 0.863624i | 0.0325794 | + | 0.0172725i | ||||
\(51\) | 61.0952 | − | 55.8899i | 1.19795 | − | 1.09588i | ||||
\(52\) | 10.7389 | + | 4.96836i | 0.206518 | + | 0.0955454i | ||||
\(53\) | −10.0648 | − | 8.54912i | −0.189902 | − | 0.161304i | 0.547392 | − | 0.836876i | \(-0.315621\pi\) |
−0.737294 | + | 0.675572i | \(0.763897\pi\) | |||||||
\(54\) | −12.1192 | + | 36.2095i | −0.224429 | + | 0.670546i | ||||
\(55\) | −79.2592 | + | 60.2513i | −1.44108 | + | 1.09548i | ||||
\(56\) | −13.0896 | − | 21.7551i | −0.233743 | − | 0.388484i | ||||
\(57\) | 2.97988 | + | 32.6744i | 0.0522786 | + | 0.573236i | ||||
\(58\) | 24.2930 | 0.418845 | ||||||||
\(59\) | 46.3678 | + | 36.4832i | 0.785895 | + | 0.618359i | ||||
\(60\) | −28.4110 | − | 6.77358i | −0.473517 | − | 0.112893i | ||||
\(61\) | 24.6092 | − | 8.29182i | 0.403430 | − | 0.135931i | −0.110269 | − | 0.993902i | \(-0.535171\pi\) |
0.513699 | + | 0.857970i | \(0.328275\pi\) | |||||||
\(62\) | −30.3182 | − | 50.3893i | −0.489003 | − | 0.812730i | ||||
\(63\) | 79.4558 | − | 14.6142i | 1.26120 | − | 0.231971i | ||||
\(64\) | 2.96111 | + | 7.43181i | 0.0462673 | + | 0.116122i | ||||
\(65\) | −21.9501 | − | 18.6446i | −0.337693 | − | 0.286839i | ||||
\(66\) | −53.7053 | + | 68.1557i | −0.813716 | + | 1.03266i | ||||
\(67\) | −14.8395 | + | 21.8866i | −0.221485 | + | 0.326666i | −0.922156 | − | 0.386819i | \(-0.873574\pi\) |
0.700671 | + | 0.713485i | \(0.252884\pi\) | |||||||
\(68\) | 48.7715 | + | 25.8570i | 0.717228 | + | 0.380250i | ||||
\(69\) | −1.96394 | − | 3.86527i | −0.0284629 | − | 0.0560184i | ||||
\(70\) | 16.5323 | + | 59.5439i | 0.236175 | + | 0.850627i | ||||
\(71\) | 48.1224 | + | 19.1737i | 0.677780 | + | 0.270052i | 0.683521 | − | 0.729931i | \(-0.260448\pi\) |
−0.00574033 | + | 0.999984i | \(0.501827\pi\) | |||||||
\(72\) | −25.4511 | + | 0.493785i | −0.353487 | + | 0.00685813i | ||||
\(73\) | −42.6358 | − | 4.63693i | −0.584053 | − | 0.0635196i | −0.188677 | − | 0.982039i | \(-0.560420\pi\) |
−0.395375 | + | 0.918520i | \(0.629386\pi\) | |||||||
\(74\) | −31.2273 | + | 41.0788i | −0.421990 | + | 0.555118i | ||||
\(75\) | −3.42320 | − | 1.89181i | −0.0456426 | − | 0.0252242i | ||||
\(76\) | −19.8517 | + | 9.18438i | −0.261207 | + | 0.120847i | ||||
\(77\) | 181.173 | + | 29.7019i | 2.35290 | + | 0.385738i | ||||
\(78\) | −22.5941 | − | 10.9339i | −0.289668 | − | 0.140178i | ||||
\(79\) | 82.2707 | + | 49.5007i | 1.04140 | + | 0.626591i | 0.930142 | − | 0.367201i | \(-0.119684\pi\) |
0.111260 | + | 0.993791i | \(0.464511\pi\) | |||||||
\(80\) | −2.10524 | − | 19.3574i | −0.0263155 | − | 0.241967i | ||||
\(81\) | 27.0399 | − | 76.3534i | 0.333826 | − | 0.942635i | ||||
\(82\) | 17.1056 | + | 104.340i | 0.208605 | + | 1.27244i | ||||
\(83\) | −112.562 | − | 6.10291i | −1.35616 | − | 0.0735291i | −0.638340 | − | 0.769754i | \(-0.720379\pi\) |
−0.717823 | + | 0.696225i | \(0.754861\pi\) | |||||||
\(84\) | 26.9609 | + | 46.6252i | 0.320963 | + | 0.555062i | ||||
\(85\) | −97.5434 | − | 92.3980i | −1.14757 | − | 1.08704i | ||||
\(86\) | 68.0175 | − | 3.68780i | 0.790901 | − | 0.0428814i | ||||
\(87\) | −51.5255 | − | 0.895770i | −0.592247 | − | 0.0102962i | ||||
\(88\) | −54.8201 | − | 18.4711i | −0.622956 | − | 0.209898i | ||||
\(89\) | −15.4031 | + | 45.7147i | −0.173068 | + | 0.513648i | −0.998723 | − | 0.0505280i | \(-0.983910\pi\) |
0.825654 | + | 0.564176i | \(0.190806\pi\) | |||||||
\(90\) | 60.0100 | + | 15.4144i | 0.666777 | + | 0.171271i | ||||
\(91\) | 2.87518 | + | 53.0297i | 0.0315954 | + | 0.582744i | ||||
\(92\) | 1.98772 | − | 2.09842i | 0.0216057 | − | 0.0228089i | ||||
\(93\) | 62.4469 | + | 107.994i | 0.671472 | + | 1.16122i | ||||
\(94\) | −2.28412 | + | 42.1282i | −0.0242992 | + | 0.448172i | ||||
\(95\) | 52.5371 | − | 8.61302i | 0.553022 | − | 0.0906634i | ||||
\(96\) | −6.00647 | − | 15.8721i | −0.0625674 | − | 0.165334i | ||||
\(97\) | 101.718 | − | 11.0625i | 1.04864 | − | 0.114047i | 0.432462 | − | 0.901652i | \(-0.357645\pi\) |
0.616180 | + | 0.787605i | \(0.288679\pi\) | |||||||
\(98\) | 23.0235 | − | 38.2654i | 0.234934 | − | 0.390463i | ||||
\(99\) | 116.422 | − | 142.578i | 1.17598 | − | 1.44018i | ||||
\(100\) | 0.421837 | − | 2.57309i | 0.00421837 | − | 0.0257309i | ||||
\(101\) | −51.8511 | − | 112.074i | −0.513378 | − | 1.10965i | −0.974925 | − | 0.222532i | \(-0.928568\pi\) |
0.461548 | − | 0.887115i | \(-0.347294\pi\) | |||||||
\(102\) | −102.491 | − | 56.6411i | −1.00481 | − | 0.555305i | ||||
\(103\) | −27.3298 | − | 20.7755i | −0.265337 | − | 0.201704i | 0.464043 | − | 0.885813i | \(-0.346398\pi\) |
−0.729380 | + | 0.684108i | \(0.760191\pi\) | |||||||
\(104\) | 1.80924 | − | 16.6357i | 0.0173965 | − | 0.159958i | ||||
\(105\) | −32.8694 | − | 126.902i | −0.313042 | − | 1.20859i | ||||
\(106\) | −6.91253 | + | 17.3491i | −0.0652125 | + | 0.163671i | ||||
\(107\) | −92.8602 | + | 25.7825i | −0.867852 | + | 0.240958i | −0.672790 | − | 0.739833i | \(-0.734904\pi\) |
−0.195062 | + | 0.980791i | \(0.562491\pi\) | |||||||
\(108\) | 53.9999 | − | 0.108848i | 0.499999 | − | 0.00100786i | ||||
\(109\) | 31.8198 | − | 60.0184i | 0.291924 | − | 0.550628i | −0.693559 | − | 0.720400i | \(-0.743958\pi\) |
0.985483 | + | 0.169772i | \(0.0543031\pi\) | |||||||
\(110\) | 116.538 | + | 79.0148i | 1.05944 | + | 0.718316i | ||||
\(111\) | 67.7477 | − | 85.9766i | 0.610340 | − | 0.774564i | ||||
\(112\) | −23.2451 | + | 27.3662i | −0.207545 | + | 0.244341i | ||||
\(113\) | 172.003 | − | 68.5323i | 1.52215 | − | 0.606480i | 0.548831 | − | 0.835934i | \(-0.315073\pi\) |
0.973320 | + | 0.229453i | \(0.0736938\pi\) | |||||||
\(114\) | 42.4441 | − | 18.7481i | 0.372317 | − | 0.164457i | ||||
\(115\) | −6.02804 | + | 3.62695i | −0.0524177 | + | 0.0315387i | ||||
\(116\) | −10.9698 | − | 32.5571i | −0.0945670 | − | 0.280665i | ||||
\(117\) | 47.5189 | + | 24.0239i | 0.406144 | + | 0.205332i | ||||
\(118\) | 27.9563 | − | 78.6158i | 0.236918 | − | 0.666236i | ||||
\(119\) | 247.760i | 2.08202i | ||||||||
\(120\) | 3.75144 | + | 41.1346i | 0.0312620 | + | 0.342789i | ||||
\(121\) | 254.746 | − | 153.276i | 2.10534 | − | 1.26674i | ||||
\(122\) | −22.2251 | − | 29.2366i | −0.182173 | − | 0.239645i | ||||
\(123\) | −32.4336 | − | 221.935i | −0.263688 | − | 1.80435i | ||||
\(124\) | −53.8404 | + | 63.3858i | −0.434196 | + | 0.511176i | ||||
\(125\) | −53.7640 | + | 116.209i | −0.430112 | + | 0.929673i | ||||
\(126\) | −55.4648 | − | 99.8863i | −0.440197 | − | 0.792748i | ||||
\(127\) | −56.3441 | + | 106.276i | −0.443654 | + | 0.836820i | 0.556329 | + | 0.830962i | \(0.312210\pi\) |
−0.999983 | + | 0.00585802i | \(0.998135\pi\) | |||||||
\(128\) | 8.62288 | − | 7.32434i | 0.0673662 | − | 0.0572214i | ||||
\(129\) | −144.401 | + | 5.31378i | −1.11939 | + | 0.0411921i | ||||
\(130\) | −15.0753 | + | 37.8363i | −0.115964 | + | 0.291048i | ||||
\(131\) | −187.410 | + | 99.3586i | −1.43061 | + | 0.758462i | −0.990243 | − | 0.139355i | \(-0.955497\pi\) |
−0.440369 | + | 0.897817i | \(0.645152\pi\) | |||||||
\(132\) | 115.592 | + | 41.1985i | 0.875700 | + | 0.312110i | ||||
\(133\) | −78.1550 | − | 59.4119i | −0.587632 | − | 0.446706i | ||||
\(134\) | 36.0330 | + | 10.0045i | 0.268903 | + | 0.0746606i | ||||
\(135\) | −126.713 | − | 34.9067i | −0.938613 | − | 0.258568i | ||||
\(136\) | 12.6299 | − | 77.0388i | 0.0928667 | − | 0.566462i | ||||
\(137\) | 36.6731 | − | 166.608i | 0.267687 | − | 1.21611i | −0.630391 | − | 0.776278i | \(-0.717105\pi\) |
0.898078 | − | 0.439837i | \(-0.144964\pi\) | |||||||
\(138\) | −4.29334 | + | 4.37744i | −0.0311112 | + | 0.0317206i | ||||
\(139\) | −36.4340 | + | 3.96243i | −0.262115 | + | 0.0285067i | −0.238233 | − | 0.971208i | \(-0.576568\pi\) |
−0.0238820 | + | 0.999715i | \(0.507603\pi\) | |||||||
\(140\) | 72.3344 | − | 49.0440i | 0.516675 | − | 0.350314i | ||||
\(141\) | 6.39804 | − | 89.2697i | 0.0453762 | − | 0.633118i | ||||
\(142\) | 3.96613 | − | 73.1510i | 0.0279305 | − | 0.515148i | ||||
\(143\) | 83.2133 | + | 87.8472i | 0.581911 | + | 0.614316i | ||||
\(144\) | 12.1545 | + | 33.8861i | 0.0844059 | + | 0.235320i | ||||
\(145\) | 4.52706 | + | 83.4967i | 0.0312211 | + | 0.575839i | ||||
\(146\) | 13.0383 | + | 59.2337i | 0.0893036 | + | 0.405710i | ||||
\(147\) | −50.2438 | + | 80.3119i | −0.341795 | + | 0.546339i | ||||
\(148\) | 69.1541 | + | 23.3007i | 0.467257 | + | 0.157437i | ||||
\(149\) | 51.5761 | + | 234.313i | 0.346148 | + | 1.57257i | 0.752337 | + | 0.658778i | \(0.228926\pi\) |
−0.406189 | + | 0.913789i | \(0.633143\pi\) | |||||||
\(150\) | −0.989596 | + | 5.44198i | −0.00659731 | + | 0.0362799i | ||||
\(151\) | 6.59578 | + | 6.24786i | 0.0436807 | + | 0.0413765i | 0.709229 | − | 0.704979i | \(-0.249043\pi\) |
−0.665548 | + | 0.746355i | \(0.731802\pi\) | |||||||
\(152\) | 21.2730 | + | 22.4576i | 0.139954 | + | 0.147748i | ||||
\(153\) | 215.295 | + | 123.915i | 1.40716 | + | 0.809902i | ||||
\(154\) | −42.0048 | − | 256.218i | −0.272758 | − | 1.66375i | ||||
\(155\) | 167.541 | − | 113.596i | 1.08091 | − | 0.732876i | ||||
\(156\) | −4.45081 | + | 35.2175i | −0.0285308 | + | 0.225753i | ||||
\(157\) | 137.588 | + | 82.7841i | 0.876358 | + | 0.527287i | 0.881223 | − | 0.472701i | \(-0.156721\pi\) |
−0.00486461 | + | 0.999988i | \(0.501548\pi\) | |||||||
\(158\) | 29.1898 | − | 132.610i | 0.184745 | − | 0.839307i | ||||
\(159\) | 15.3012 | − | 36.5426i | 0.0962339 | − | 0.229828i | ||||
\(160\) | −24.9918 | + | 11.5624i | −0.156199 | + | 0.0722653i | ||||
\(161\) | 12.5000 | + | 3.47060i | 0.0776397 | + | 0.0215565i | ||||
\(162\) | −114.538 | − | 1.76030i | −0.707023 | − | 0.0108660i | ||||
\(163\) | 166.747 | + | 18.1348i | 1.02299 | + | 0.111256i | 0.604203 | − | 0.796830i | \(-0.293491\pi\) |
0.418782 | + | 0.908087i | \(0.362457\pi\) | |||||||
\(164\) | 132.110 | − | 70.0404i | 0.805550 | − | 0.427075i | ||||
\(165\) | −244.264 | − | 171.888i | −1.48039 | − | 1.04174i | ||||
\(166\) | 42.6493 | + | 153.609i | 0.256924 | + | 0.925356i | ||||
\(167\) | 126.507 | − | 107.456i | 0.757528 | − | 0.643450i | −0.183021 | − | 0.983109i | \(-0.558587\pi\) |
0.940549 | + | 0.339659i | \(0.110312\pi\) | |||||||
\(168\) | 50.3119 | − | 57.1867i | 0.299476 | − | 0.340397i | ||||
\(169\) | 75.1978 | − | 110.908i | 0.444957 | − | 0.656263i | ||||
\(170\) | −79.7836 | + | 172.449i | −0.469315 | + | 1.01441i | ||||
\(171\) | −90.7153 | + | 38.1996i | −0.530499 | + | 0.223389i | ||||
\(172\) | −35.6563 | − | 89.4907i | −0.207304 | − | 0.520295i | ||||
\(173\) | −117.032 | − | 153.952i | −0.676483 | − | 0.889899i | 0.321898 | − | 0.946774i | \(-0.395679\pi\) |
−0.998381 | + | 0.0568758i | \(0.981886\pi\) | |||||||
\(174\) | 22.0664 | + | 69.4582i | 0.126818 | + | 0.399185i | ||||
\(175\) | 11.0903 | − | 3.73675i | 0.0633730 | − | 0.0213528i | ||||
\(176\) | 81.8099i | 0.464829i | ||||||||
\(177\) | −62.1942 | + | 165.713i | −0.351380 | + | 0.936233i | ||||
\(178\) | 68.2215 | 0.383267 | ||||||||
\(179\) | −6.12794 | − | 18.1871i | −0.0342343 | − | 0.101604i | 0.929173 | − | 0.369644i | \(-0.120520\pi\) |
−0.963408 | + | 0.268041i | \(0.913624\pi\) | |||||||
\(180\) | −6.44003 | − | 87.3849i | −0.0357780 | − | 0.485472i | ||||
\(181\) | −263.165 | + | 200.053i | −1.45395 | + | 1.10526i | −0.480330 | + | 0.877088i | \(0.659483\pi\) |
−0.973620 | + | 0.228176i | \(0.926724\pi\) | |||||||
\(182\) | 69.7712 | − | 27.7994i | 0.383358 | − | 0.152744i | ||||
\(183\) | 46.0614 | + | 62.8304i | 0.251702 | + | 0.343336i | ||||
\(184\) | −3.70984 | − | 1.71635i | −0.0201622 | − | 0.00932802i | ||||
\(185\) | −147.010 | − | 99.6750i | −0.794646 | − | 0.538784i | ||||
\(186\) | 116.533 | − | 132.456i | 0.626520 | − | 0.712129i | ||||
\(187\) | 365.454 | + | 430.246i | 1.95430 | + | 2.30078i | ||||
\(188\) | 57.4909 | − | 15.9623i | 0.305803 | − | 0.0849057i | ||||
\(189\) | 113.958 | + | 213.904i | 0.602951 | + | 1.13177i | ||||
\(190\) | −35.2667 | − | 66.5201i | −0.185614 | − | 0.350106i | ||||
\(191\) | 7.86896 | − | 72.3539i | 0.0411988 | − | 0.378816i | −0.955328 | − | 0.295547i | \(-0.904498\pi\) |
0.996527 | − | 0.0832696i | \(-0.0265363\pi\) | |||||||
\(192\) | −18.5592 | + | 15.2170i | −0.0966625 | + | 0.0792550i | ||||
\(193\) | −5.34343 | + | 19.2453i | −0.0276862 | + | 0.0997166i | −0.976102 | − | 0.217312i | \(-0.930271\pi\) |
0.948416 | + | 0.317028i | \(0.102685\pi\) | |||||||
\(194\) | −60.7578 | − | 131.326i | −0.313184 | − | 0.676937i | ||||
\(195\) | 33.3700 | − | 79.6948i | 0.171128 | − | 0.408692i | ||||
\(196\) | −61.6792 | − | 13.5766i | −0.314690 | − | 0.0692684i | ||||
\(197\) | −82.8672 | + | 137.726i | −0.420646 | + | 0.699118i | −0.992635 | − | 0.121143i | \(-0.961344\pi\) |
0.571990 | + | 0.820261i | \(0.306172\pi\) | |||||||
\(198\) | −243.652 | − | 91.6443i | −1.23057 | − | 0.462850i | ||||
\(199\) | 94.4446 | + | 139.295i | 0.474596 | + | 0.699977i | 0.987349 | − | 0.158559i | \(-0.0506849\pi\) |
−0.512754 | + | 0.858536i | \(0.671375\pi\) | |||||||
\(200\) | −3.63891 | + | 0.596568i | −0.0181945 | + | 0.00298284i | ||||
\(201\) | −76.0571 | − | 22.5482i | −0.378394 | − | 0.112180i | ||||
\(202\) | −126.786 | + | 120.098i | −0.627655 | + | 0.594547i | ||||
\(203\) | 106.041 | − | 111.946i | 0.522369 | − | 0.551458i | ||||
\(204\) | −29.6287 | + | 162.934i | −0.145239 | + | 0.798694i | ||||
\(205\) | −355.435 | + | 78.2371i | −1.73383 | + | 0.381644i | ||||
\(206\) | −15.5020 | + | 46.0083i | −0.0752524 | + | 0.223341i | ||||
\(207\) | 9.26758 | − | 9.12625i | 0.0447709 | − | 0.0440882i | ||||
\(208\) | −23.1118 | + | 5.08730i | −0.111115 | + | 0.0244582i | ||||
\(209\) | −223.354 | + | 12.1099i | −1.06868 | + | 0.0579421i | ||||
\(210\) | −155.230 | + | 101.355i | −0.739189 | + | 0.482643i | ||||
\(211\) | −113.027 | + | 107.065i | −0.535671 | + | 0.507415i | −0.907025 | − | 0.421077i | \(-0.861652\pi\) |
0.371354 | + | 0.928491i | \(0.378894\pi\) | |||||||
\(212\) | 26.3725 | + | 1.42987i | 0.124398 | + | 0.00674468i | ||||
\(213\) | −11.1095 | + | 155.007i | −0.0521573 | + | 0.727732i | ||||
\(214\) | 76.4853 | + | 112.807i | 0.357408 | + | 0.527137i | ||||
\(215\) | 25.3504 | + | 233.093i | 0.117909 | + | 1.08415i | ||||
\(216\) | −24.5301 | − | 72.3206i | −0.113565 | − | 0.334818i | ||||
\(217\) | −364.543 | − | 80.2419i | −1.67992 | − | 0.369778i | ||||
\(218\) | −94.8043 | − | 15.5424i | −0.434882 | − | 0.0712953i | ||||
\(219\) | −25.4701 | − | 126.116i | −0.116302 | − | 0.575870i | ||||
\(220\) | 53.2703 | − | 191.862i | 0.242138 | − | 0.872102i | ||||
\(221\) | −98.8218 | + | 129.998i | −0.447157 | + | 0.588226i | ||||
\(222\) | −145.817 | − | 51.9708i | −0.656832 | − | 0.234103i | ||||
\(223\) | −114.999 | − | 216.911i | −0.515691 | − | 0.972696i | −0.995449 | − | 0.0952952i | \(-0.969621\pi\) |
0.479758 | − | 0.877401i | \(-0.340724\pi\) | |||||||
\(224\) | 47.1724 | + | 18.7952i | 0.210591 | + | 0.0839071i | ||||
\(225\) | 2.29960 | − | 11.5059i | 0.0102204 | − | 0.0511375i | ||||
\(226\) | −169.516 | − | 199.569i | −0.750069 | − | 0.883050i | ||||
\(227\) | −326.920 | − | 173.322i | −1.44018 | − | 0.763534i | −0.448684 | − | 0.893690i | \(-0.648107\pi\) |
−0.991493 | + | 0.130156i | \(0.958452\pi\) | |||||||
\(228\) | −44.2920 | − | 48.4171i | −0.194263 | − | 0.212356i | ||||
\(229\) | 53.2123 | + | 24.6186i | 0.232368 | + | 0.107505i | 0.532618 | − | 0.846355i | \(-0.321208\pi\) |
−0.300250 | + | 0.953860i | \(0.597070\pi\) | |||||||
\(230\) | 7.58281 | + | 6.44089i | 0.0329687 | + | 0.0280039i | ||||
\(231\) | 79.6445 | + | 544.987i | 0.344781 | + | 2.35925i | ||||
\(232\) | −38.6790 | + | 29.4030i | −0.166720 | + | 0.126737i | ||||
\(233\) | 91.5536 | + | 152.163i | 0.392934 | + | 0.653061i | 0.988668 | − | 0.150121i | \(-0.0479662\pi\) |
−0.595734 | + | 0.803182i | \(0.703139\pi\) | |||||||
\(234\) | 10.7388 | − | 74.5322i | 0.0458921 | − | 0.318514i | ||||
\(235\) | −145.223 | −0.617970 | ||||||||
\(236\) | −117.984 | − | 1.96681i | −0.499931 | − | 0.00833395i | ||||
\(237\) | −66.8013 | + | 280.190i | −0.281862 | + | 1.18224i | ||||
\(238\) | 332.044 | − | 111.879i | 1.39514 | − | 0.470079i | ||||
\(239\) | −84.1387 | − | 139.840i | −0.352045 | − | 0.585103i | 0.629346 | − | 0.777125i | \(-0.283323\pi\) |
−0.981391 | + | 0.192022i | \(0.938495\pi\) | |||||||
\(240\) | 53.4340 | − | 23.6024i | 0.222642 | − | 0.0983434i | ||||
\(241\) | −94.4780 | − | 237.122i | −0.392025 | − | 0.983908i | −0.984035 | − | 0.177978i | \(-0.943045\pi\) |
0.592010 | − | 0.805931i | \(-0.298335\pi\) | |||||||
\(242\) | −320.451 | − | 272.194i | −1.32418 | − | 1.12477i | ||||
\(243\) | 242.870 | + | 7.95701i | 0.999464 | + | 0.0327449i | ||||
\(244\) | −29.1465 | + | 42.9879i | −0.119453 | + | 0.176180i | ||||
\(245\) | 135.811 | + | 72.0025i | 0.554331 | + | 0.293888i | ||||
\(246\) | −282.788 | + | 143.684i | −1.14955 | + | 0.584082i | ||||
\(247\) | −17.3103 | − | 62.3459i | −0.0700820 | − | 0.252413i | ||||
\(248\) | 109.261 | + | 43.5335i | 0.440568 | + | 0.175538i | ||||
\(249\) | −84.7951 | − | 327.377i | −0.340543 | − | 1.31477i | ||||
\(250\) | 180.019 | + | 19.5783i | 0.720077 | + | 0.0783131i | ||||
\(251\) | −31.2241 | + | 41.0746i | −0.124399 | + | 0.163644i | −0.854076 | − | 0.520147i | \(-0.825877\pi\) |
0.729678 | + | 0.683791i | \(0.239670\pi\) | |||||||
\(252\) | −108.820 | + | 119.438i | −0.431826 | + | 0.473959i | ||||
\(253\) | 26.8260 | − | 12.4110i | 0.106032 | − | 0.0490554i | ||||
\(254\) | 167.872 | + | 27.5213i | 0.660915 | + | 0.108351i | ||||
\(255\) | 175.580 | − | 362.823i | 0.688548 | − | 1.42284i | ||||
\(256\) | −13.7097 | − | 8.24886i | −0.0535536 | − | 0.0322221i | ||||
\(257\) | −1.44954 | − | 13.3283i | −0.00564024 | − | 0.0518611i | 0.990980 | − | 0.134013i | \(-0.0427863\pi\) |
−0.996620 | + | 0.0821517i | \(0.973821\pi\) | |||||||
\(258\) | 72.3273 | + | 191.124i | 0.280338 | + | 0.740793i | ||||
\(259\) | 52.9879 | + | 323.212i | 0.204586 | + | 1.24792i | ||||
\(260\) | 57.5150 | + | 3.11837i | 0.221212 | + | 0.0119937i | ||||
\(261\) | −44.2416 | − | 148.134i | −0.169508 | − | 0.567565i | ||||
\(262\) | 217.786 | + | 206.298i | 0.831243 | + | 0.787396i | ||||
\(263\) | −55.8774 | + | 3.02959i | −0.212462 | + | 0.0115193i | −0.160062 | − | 0.987107i | \(-0.551170\pi\) |
−0.0523992 | + | 0.998626i | \(0.516687\pi\) | |||||||
\(264\) | 3.01662 | − | 173.519i | 0.0114266 | − | 0.657268i | ||||
\(265\) | −60.9183 | − | 20.5258i | −0.229880 | − | 0.0774557i | ||||
\(266\) | −44.3312 | + | 131.570i | −0.166659 | + | 0.494625i | ||||
\(267\) | −144.698 | − | 2.51557i | −0.541939 | − | 0.00942160i | ||||
\(268\) | −2.86319 | − | 52.8085i | −0.0106836 | − | 0.197047i | ||||
\(269\) | 86.2470 | − | 91.0499i | 0.320621 | − | 0.338475i | −0.545684 | − | 0.837991i | \(-0.683730\pi\) |
0.866305 | + | 0.499516i | \(0.166489\pi\) | |||||||
\(270\) | 10.4371 | + | 185.581i | 0.0386560 | + | 0.687336i | ||||
\(271\) | 21.9852 | − | 405.493i | 0.0811263 | − | 1.49629i | −0.620762 | − | 0.783999i | \(-0.713177\pi\) |
0.701889 | − | 0.712287i | \(-0.252340\pi\) | |||||||
\(272\) | −108.949 | + | 17.8613i | −0.400549 | + | 0.0656667i | ||||
\(273\) | −149.010 | + | 56.3898i | −0.545823 | + | 0.206556i | ||||
\(274\) | −239.845 | + | 26.0847i | −0.875347 | + | 0.0951997i | ||||
\(275\) | 13.7469 | − | 22.8475i | 0.0499887 | − | 0.0830819i | ||||
\(276\) | 7.80528 | + | 3.77718i | 0.0282800 | + | 0.0136854i | ||||
\(277\) | 16.0254 | − | 97.7508i | 0.0578535 | − | 0.352891i | −0.941997 | − | 0.335620i | \(-0.891054\pi\) |
0.999851 | − | 0.0172706i | \(-0.00549766\pi\) | |||||||
\(278\) | 21.7625 | + | 47.0389i | 0.0782825 | + | 0.169205i | ||||
\(279\) | −252.050 | + | 276.642i | −0.903405 | + | 0.991549i | ||||
\(280\) | −98.3913 | − | 74.7951i | −0.351398 | − | 0.267125i | ||||
\(281\) | 42.4027 | − | 389.887i | 0.150899 | − | 1.38750i | −0.636606 | − | 0.771189i | \(-0.719662\pi\) |
0.787505 | − | 0.616308i | \(-0.211372\pi\) | |||||||
\(282\) | −122.527 | + | 31.7361i | −0.434492 | + | 0.112539i | ||||
\(283\) | 56.8217 | − | 142.612i | 0.200783 | − | 0.503928i | −0.793763 | − | 0.608228i | \(-0.791881\pi\) |
0.994546 | + | 0.104299i | \(0.0332600\pi\) | |||||||
\(284\) | −99.8267 | + | 27.7167i | −0.351502 | + | 0.0975942i | ||||
\(285\) | 72.3479 | + | 142.390i | 0.253852 | + | 0.499612i | ||||
\(286\) | 80.1556 | − | 151.189i | 0.280264 | − | 0.528635i | ||||
\(287\) | 555.480 | + | 376.625i | 1.93547 | + | 1.31228i | ||||
\(288\) | 39.9252 | − | 31.5908i | 0.138629 | − | 0.109690i | ||||
\(289\) | −306.092 | + | 360.359i | −1.05914 | + | 1.24692i | ||||
\(290\) | 109.857 | − | 43.7709i | 0.378816 | − | 0.150934i | ||||
\(291\) | 124.025 | + | 280.782i | 0.426202 | + | 0.964888i | ||||
\(292\) | 73.4965 | − | 44.2214i | 0.251700 | − | 0.151443i | ||||
\(293\) | −138.633 | − | 411.449i | −0.473151 | − | 1.40426i | −0.873018 | − | 0.487688i | \(-0.837840\pi\) |
0.399867 | − | 0.916573i | \(-0.369056\pi\) | |||||||
\(294\) | 130.321 | + | 31.0703i | 0.443268 | + | 0.105681i | ||||
\(295\) | 275.417 | + | 81.4374i | 0.933618 | + | 0.276059i | ||||
\(296\) | − | 103.201i | − | 0.348652i | ||||||
\(297\) | 513.407 | + | 203.362i | 1.72864 | + | 0.684720i | ||||
\(298\) | 290.732 | − | 174.928i | 0.975611 | − | 0.587006i | ||||
\(299\) | 5.17436 | + | 6.80675i | 0.0173055 | + | 0.0227650i | ||||
\(300\) | 7.74012 | − | 1.13114i | 0.0258004 | − | 0.00377047i | ||||
\(301\) | 279.907 | − | 329.532i | 0.929925 | − | 1.09479i | ||||
\(302\) | 5.39488 | − | 11.6608i | 0.0178638 | − | 0.0386121i | ||||
\(303\) | 273.342 | − | 250.054i | 0.902120 | − | 0.825260i | ||||
\(304\) | 20.4913 | − | 38.6507i | 0.0674057 | − | 0.127141i | ||||
\(305\) | 96.3465 | − | 81.8375i | 0.315890 | − | 0.268320i | ||||
\(306\) | 68.8503 | − | 344.490i | 0.225001 | − | 1.12578i | ||||
\(307\) | 71.4521 | − | 179.331i | 0.232743 | − | 0.584141i | −0.765497 | − | 0.643439i | \(-0.777507\pi\) |
0.998240 | + | 0.0592982i | \(0.0188863\pi\) | |||||||
\(308\) | −324.411 | + | 171.992i | −1.05328 | + | 0.558416i | ||||
\(309\) | 34.5762 | − | 97.0120i | 0.111897 | − | 0.313955i | ||||
\(310\) | −227.894 | − | 173.241i | −0.735143 | − | 0.558841i | ||||
\(311\) | −523.716 | − | 145.409i | −1.68397 | − | 0.467553i | −0.711911 | − | 0.702270i | \(-0.752170\pi\) |
−0.972064 | + | 0.234717i | \(0.924584\pi\) | |||||||
\(312\) | 49.2078 | − | 9.93794i | 0.157717 | − | 0.0318524i | ||||
\(313\) | −23.3569 | + | 142.471i | −0.0746228 | + | 0.455179i | 0.922912 | + | 0.385010i | \(0.125802\pi\) |
−0.997535 | + | 0.0701688i | \(0.977646\pi\) | |||||||
\(314\) | 48.8165 | − | 221.776i | 0.155467 | − | 0.706292i | ||||
\(315\) | 332.980 | − | 209.250i | 1.05708 | − | 0.664286i | ||||
\(316\) | −190.903 | + | 20.7620i | −0.604125 | + | 0.0657025i | ||||
\(317\) | −319.486 | + | 216.617i | −1.00784 | + | 0.683335i | −0.949112 | − | 0.314939i | \(-0.898016\pi\) |
−0.0587314 | + | 0.998274i | \(0.518706\pi\) | |||||||
\(318\) | −55.8832 | − | 4.00521i | −0.175733 | − | 0.0125950i | ||||
\(319\) | 19.0205 | − | 350.812i | 0.0596254 | − | 1.09973i | ||||
\(320\) | 26.7811 | + | 28.2725i | 0.0836910 | + | 0.0883515i | ||||
\(321\) | −158.066 | − | 242.085i | −0.492416 | − | 0.754158i | ||||
\(322\) | −0.993253 | − | 18.3195i | −0.00308464 | − | 0.0568928i | ||||
\(323\) | −64.8915 | − | 294.805i | −0.200903 | − | 0.912709i | ||||
\(324\) | 49.3616 | + | 154.297i | 0.152351 | + | 0.476224i | ||||
\(325\) | 7.30942 | + | 2.46283i | 0.0224905 | + | 0.00757794i | ||||
\(326\) | −50.9923 | − | 231.660i | −0.156418 | − | 0.710614i | ||||
\(327\) | 200.507 | + | 36.4611i | 0.613171 | + | 0.111502i | ||||
\(328\) | −153.523 | − | 145.424i | −0.468057 | − | 0.443367i | ||||
\(329\) | 184.163 | + | 194.418i | 0.559765 | + | 0.590937i | ||||
\(330\) | −120.061 | + | 404.976i | −0.363821 | + | 1.22720i | ||||
\(331\) | 10.3170 | + | 62.9307i | 0.0311691 | + | 0.190123i | 0.997822 | − | 0.0659682i | \(-0.0210136\pi\) |
−0.966653 | + | 0.256091i | \(0.917565\pi\) | |||||||
\(332\) | 186.606 | − | 126.522i | 0.562065 | − | 0.381090i | ||||
\(333\) | 307.361 | + | 115.607i | 0.923005 | + | 0.347168i | ||||
\(334\) | −201.137 | − | 121.020i | −0.602206 | − | 0.362335i | ||||
\(335\) | −27.6713 | + | 125.712i | −0.0826010 | + | 0.375260i | ||||
\(336\) | −99.3595 | − | 41.6040i | −0.295713 | − | 0.123821i | ||||
\(337\) | 298.116 | − | 137.923i | 0.884617 | − | 0.409267i | 0.0756589 | − | 0.997134i | \(-0.475894\pi\) |
0.808958 | + | 0.587866i | \(0.200032\pi\) | |||||||
\(338\) | −182.594 | − | 50.6970i | −0.540219 | − | 0.149991i | ||||
\(339\) | 352.184 | + | 429.537i | 1.03889 | + | 1.26707i | ||||
\(340\) | 267.141 | + | 29.0533i | 0.785709 | + | 0.0854510i | ||||
\(341\) | −751.402 | + | 398.368i | −2.20353 | + | 1.16824i | ||||
\(342\) | 92.1579 | + | 104.326i | 0.269468 | + | 0.305046i | ||||
\(343\) | 41.8388 | + | 150.690i | 0.121979 | + | 0.439329i | ||||
\(344\) | −103.833 | + | 88.1965i | −0.301840 | + | 0.256385i | ||||
\(345\) | −15.8456 | − | 13.9407i | −0.0459294 | − | 0.0404079i | ||||
\(346\) | −153.478 | + | 226.363i | −0.443577 | + | 0.654228i | ||||
\(347\) | 217.350 | − | 469.795i | 0.626370 | − | 1.35388i | −0.291338 | − | 0.956620i | \(-0.594100\pi\) |
0.917708 | − | 0.397256i | \(-0.130037\pi\) | |||||||
\(348\) | 83.1224 | − | 60.9376i | 0.238857 | − | 0.175108i | ||||
\(349\) | 39.0268 | + | 97.9498i | 0.111825 | + | 0.280659i | 0.974229 | − | 0.225562i | \(-0.0724217\pi\) |
−0.862404 | + | 0.506220i | \(0.831042\pi\) | |||||||
\(350\) | −10.0159 | − | 13.1756i | −0.0286167 | − | 0.0376447i | ||||
\(351\) | −25.5252 | + | 157.687i | −0.0727213 | + | 0.449250i | ||||
\(352\) | 109.640 | − | 36.9421i | 0.311478 | − | 0.104949i | ||||
\(353\) | 424.255i | 1.20186i | 0.799303 | + | 0.600928i | \(0.205202\pi\) | ||||
−0.799303 | + | 0.600928i | \(0.794798\pi\) | |||||||
\(354\) | 250.171 | + | 8.52208i | 0.706697 | + | 0.0240737i | ||||
\(355\) | 252.164 | 0.710320 | ||||||||
\(356\) | −30.8061 | − | 91.4294i | −0.0865341 | − | 0.256824i | ||||
\(357\) | −708.391 | + | 225.051i | −1.98429 | + | 0.630396i | ||||
\(358\) | −21.6069 | + | 16.4251i | −0.0603544 | + | 0.0458802i | ||||
\(359\) | −453.941 | + | 180.867i | −1.26446 | + | 0.503807i | −0.903425 | − | 0.428746i | \(-0.858956\pi\) |
−0.361034 | + | 0.932553i | \(0.617576\pi\) | |||||||
\(360\) | −114.204 | + | 48.0904i | −0.317233 | + | 0.133584i | ||||
\(361\) | −219.079 | − | 101.357i | −0.606867 | − | 0.280766i | ||||
\(362\) | 386.942 | + | 262.354i | 1.06890 | + | 0.724733i | ||||
\(363\) | 669.640 | + | 589.139i | 1.84474 | + | 1.62297i | ||||
\(364\) | −68.7622 | − | 80.9531i | −0.188907 | − | 0.222399i | ||||
\(365\) | −201.160 | + | 55.8519i | −0.551124 | + | 0.153019i | ||||
\(366\) | 63.4048 | − | 90.1025i | 0.173237 | − | 0.246182i | ||||
\(367\) | −30.3552 | − | 57.2559i | −0.0827116 | − | 0.156011i | 0.838706 | − | 0.544585i | \(-0.183313\pi\) |
−0.921418 | + | 0.388574i | \(0.872968\pi\) | |||||||
\(368\) | −0.625014 | + | 5.74691i | −0.00169841 | + | 0.0156166i | ||||
\(369\) | 605.092 | − | 294.327i | 1.63982 | − | 0.797634i | ||||
\(370\) | −67.1991 | + | 242.029i | −0.181619 | + | 0.654133i | ||||
\(371\) | 49.7738 | + | 107.584i | 0.134161 | + | 0.289984i | ||||
\(372\) | −230.137 | − | 96.3633i | −0.618647 | − | 0.259041i | ||||
\(373\) | −636.465 | − | 140.097i | −1.70634 | − | 0.375594i | −0.748554 | − | 0.663074i | \(-0.769251\pi\) |
−0.957787 | + | 0.287480i | \(0.907182\pi\) | |||||||
\(374\) | 411.584 | − | 684.058i | 1.10049 | − | 1.82903i | ||||
\(375\) | −381.099 | − | 48.1635i | −1.01626 | − | 0.128436i | ||||
\(376\) | −47.3530 | − | 69.8405i | −0.125939 | − | 0.185746i | ||||
\(377\) | 100.290 | − | 16.4416i | 0.266020 | − | 0.0436118i | ||||
\(378\) | 235.212 | − | 249.315i | 0.622254 | − | 0.659563i | ||||
\(379\) | −322.299 | + | 305.298i | −0.850393 | + | 0.805535i | −0.982609 | − | 0.185686i | \(-0.940549\pi\) |
0.132216 | + | 0.991221i | \(0.457791\pi\) | |||||||
\(380\) | −73.2241 | + | 77.3017i | −0.192695 | + | 0.203426i | ||||
\(381\) | −355.042 | − | 64.5627i | −0.931870 | − | 0.169456i | ||||
\(382\) | −100.521 | + | 22.1263i | −0.263144 | + | 0.0579223i | ||||
\(383\) | −169.114 | + | 501.911i | −0.441550 | + | 1.31047i | 0.463850 | + | 0.885914i | \(0.346468\pi\) |
−0.905400 | + | 0.424559i | \(0.860429\pi\) | |||||||
\(384\) | 28.7741 | + | 18.0014i | 0.0749327 | + | 0.0468785i | ||||
\(385\) | 872.809 | − | 192.120i | 2.26704 | − | 0.499013i | ||||
\(386\) | 28.2051 | − | 1.52924i | 0.0730703 | − | 0.00396176i | ||||
\(387\) | −146.359 | − | 408.042i | −0.378188 | − | 1.05437i | ||||
\(388\) | −148.565 | + | 140.728i | −0.382899 | + | 0.362701i | ||||
\(389\) | 242.314 | + | 13.1379i | 0.622916 | + | 0.0337735i | 0.362896 | − | 0.931830i | \(-0.381788\pi\) |
0.260020 | + | 0.965603i | \(0.416271\pi\) | |||||||
\(390\) | −121.874 | − | 8.73485i | −0.312498 | − | 0.0223970i | ||||
\(391\) | 22.3851 | + | 33.0155i | 0.0572509 | + | 0.0844387i | ||||
\(392\) | 9.65672 | + | 88.7921i | 0.0246345 | + | 0.226510i | ||||
\(393\) | −454.317 | − | 445.588i | −1.15602 | − | 1.13381i | ||||
\(394\) | 221.998 | + | 48.8655i | 0.563447 | + | 0.124024i | ||||
\(395\) | 461.230 | + | 75.6149i | 1.16767 | + | 0.191430i | ||||
\(396\) | −12.7965 | + | 367.922i | −0.0323144 | + | 0.929096i | ||||
\(397\) | 208.976 | − | 752.665i | 0.526389 | − | 1.89588i | 0.0904614 | − | 0.995900i | \(-0.471166\pi\) |
0.435928 | − | 0.899982i | \(-0.356420\pi\) | |||||||
\(398\) | 144.034 | − | 189.473i | 0.361894 | − | 0.476064i | ||||
\(399\) | 98.8779 | − | 277.426i | 0.247814 | − | 0.695303i | ||||
\(400\) | 2.44270 | + | 4.60742i | 0.00610674 | + | 0.0115185i | ||||
\(401\) | 369.685 | + | 147.296i | 0.921906 | + | 0.367321i | 0.782311 | − | 0.622888i | \(-0.214041\pi\) |
0.139595 | + | 0.990209i | \(0.455420\pi\) | |||||||
\(402\) | 4.12560 | + | 112.112i | 0.0102627 | + | 0.278887i | ||||
\(403\) | −159.267 | − | 187.504i | −0.395204 | − | 0.465270i | ||||
\(404\) | 218.206 | + | 115.685i | 0.540113 | + | 0.286350i | ||||
\(405\) | −15.2941 | − | 394.002i | −0.0377632 | − | 0.972844i | ||||
\(406\) | −197.912 | − | 91.5639i | −0.487468 | − | 0.225527i | ||||
\(407\) | 568.763 | + | 483.112i | 1.39745 | + | 1.18701i | ||||
\(408\) | 231.740 | − | 33.8666i | 0.567991 | − | 0.0830063i | ||||
\(409\) | −400.555 | + | 304.494i | −0.979351 | + | 0.744483i | −0.966825 | − | 0.255438i | \(-0.917780\pi\) |
−0.0125256 | + | 0.999922i | \(0.503987\pi\) | |||||||
\(410\) | 265.352 | + | 441.019i | 0.647201 | + | 1.07566i | ||||
\(411\) | 509.673 | − | 46.4818i | 1.24008 | − | 0.113094i | ||||
\(412\) | 68.6597 | 0.166650 | ||||||||
\(413\) | −240.242 | − | 471.991i | −0.581700 | − | 1.14283i | ||||
\(414\) | −16.4157 | − | 8.29921i | −0.0396515 | − | 0.0200464i | ||||
\(415\) | −520.016 | + | 175.214i | −1.25305 | + | 0.422202i | ||||
\(416\) | 17.2543 | + | 28.6769i | 0.0414767 | + | 0.0689348i | ||||
\(417\) | −44.4238 | − | 100.572i | −0.106532 | − | 0.241180i | ||||
\(418\) | 117.087 | + | 293.867i | 0.280113 | + | 0.703031i | ||||
\(419\) | −32.8752 | − | 27.9244i | −0.0784610 | − | 0.0666454i | 0.607298 | − | 0.794474i | \(-0.292254\pi\) |
−0.685759 | + | 0.727829i | \(0.740529\pi\) | |||||||
\(420\) | 205.930 | + | 162.268i | 0.490309 | + | 0.386354i | ||||
\(421\) | −93.9086 | + | 138.505i | −0.223061 | + | 0.328990i | −0.922709 | − | 0.385498i | \(-0.874030\pi\) |
0.699648 | + | 0.714488i | \(0.253340\pi\) | |||||||
\(422\) | 194.525 | + | 103.130i | 0.460959 | + | 0.244385i | ||||
\(423\) | 261.050 | − | 62.7943i | 0.617139 | − | 0.148450i | ||||
\(424\) | −9.99247 | − | 35.9896i | −0.0235671 | − | 0.0848812i | ||||
\(425\) | 33.4282 | + | 13.3190i | 0.0786547 | + | 0.0313389i | ||||
\(426\) | 212.754 | − | 55.1063i | 0.499424 | − | 0.129357i | ||||
\(427\) | −231.741 | − | 25.2034i | −0.542719 | − | 0.0590243i | ||||
\(428\) | 116.645 | − | 153.444i | 0.272535 | − | 0.358513i | ||||
\(429\) | −175.585 | + | 317.717i | −0.409289 | + | 0.740600i | ||||
\(430\) | 300.941 | − | 139.230i | 0.699862 | − | 0.323791i | ||||
\(431\) | 727.927 | + | 119.338i | 1.68893 | + | 0.276885i | 0.928171 | − | 0.372154i | \(-0.121381\pi\) |
0.760755 | + | 0.649039i | \(0.224829\pi\) | |||||||
\(432\) | −85.8461 | + | 65.5320i | −0.198718 | + | 0.151694i | ||||
\(433\) | −608.900 | − | 366.363i | −1.40624 | − | 0.846104i | −0.408461 | − | 0.912776i | \(-0.633934\pi\) |
−0.997775 | + | 0.0666715i | \(0.978762\pi\) | |||||||
\(434\) | 57.0741 | + | 524.788i | 0.131507 | + | 1.20919i | ||||
\(435\) | −234.620 | + | 88.7873i | −0.539356 | + | 0.204109i | ||||
\(436\) | 21.9802 | + | 134.074i | 0.0504134 | + | 0.307508i | ||||
\(437\) | −15.7825 | − | 0.855702i | −0.0361155 | − | 0.00195813i | ||||
\(438\) | −157.517 | + | 91.0835i | −0.359627 | + | 0.207953i | ||||
\(439\) | −516.520 | − | 489.273i | −1.17658 | − | 1.11452i | −0.991271 | − | 0.131838i | \(-0.957912\pi\) |
−0.185311 | − | 0.982680i | \(-0.559329\pi\) | |||||||
\(440\) | −281.186 | + | 15.2454i | −0.639059 | + | 0.0346487i | ||||
\(441\) | −275.265 | − | 70.7055i | −0.624183 | − | 0.160330i | ||||
\(442\) | 218.845 | + | 73.7375i | 0.495125 | + | 0.166827i | ||||
\(443\) | 11.4715 | − | 34.0463i | 0.0258951 | − | 0.0768540i | −0.933926 | − | 0.357466i | \(-0.883641\pi\) |
0.959821 | + | 0.280612i | \(0.0905374\pi\) | |||||||
\(444\) | −3.80538 | + | 218.889i | −0.00857068 | + | 0.492993i | ||||
\(445\) | 12.7132 | + | 234.482i | 0.0285691 | + | 0.526925i | ||||
\(446\) | −238.772 | + | 252.068i | −0.535363 | + | 0.565176i | ||||
\(447\) | −623.093 | + | 360.301i | −1.39394 | + | 0.806043i | ||||
\(448\) | 3.88783 | − | 71.7068i | 0.00867819 | − | 0.160060i | ||||
\(449\) | 445.520 | − | 73.0392i | 0.992249 | − | 0.162671i | 0.356274 | − | 0.934381i | \(-0.384047\pi\) |
0.635974 | + | 0.771710i | \(0.280599\pi\) | |||||||
\(450\) | −16.4585 | + | 2.11375i | −0.0365744 | + | 0.00469721i | ||||
\(451\) | 1520.15 | − | 165.326i | 3.37062 | − | 0.366577i | ||||
\(452\) | −190.913 | + | 317.300i | −0.422374 | + | 0.701990i | ||||
\(453\) | −11.8725 | + | 24.5337i | −0.0262087 | + | 0.0541583i | ||||
\(454\) | −84.6593 | + | 516.399i | −0.186474 | + | 1.13744i | ||||
\(455\) | 108.550 | + | 234.628i | 0.238572 | + | 0.515665i | ||||
\(456\) | −44.8873 | + | 81.2226i | −0.0984370 | + | 0.178120i | ||||
\(457\) | 300.908 | + | 228.745i | 0.658443 | + | 0.500535i | 0.880222 | − | 0.474562i | \(-0.157393\pi\) |
−0.221780 | + | 0.975097i | \(0.571187\pi\) | |||||||
\(458\) | 8.96493 | − | 82.4311i | 0.0195741 | − | 0.179981i | ||||
\(459\) | −158.734 | + | 728.124i | −0.345826 | + | 1.58633i | ||||
\(460\) | 5.20789 | − | 13.0708i | 0.0113215 | − | 0.0284148i | ||||
\(461\) | −493.532 | + | 137.029i | −1.07057 | + | 0.297242i | −0.757733 | − | 0.652565i | \(-0.773693\pi\) |
−0.312836 | + | 0.949807i | \(0.601279\pi\) | |||||||
\(462\) | 694.418 | − | 352.833i | 1.50307 | − | 0.763707i | ||||
\(463\) | 132.071 | − | 249.112i | 0.285250 | − | 0.538038i | −0.698934 | − | 0.715186i | \(-0.746342\pi\) |
0.984184 | + | 0.177147i | \(0.0566869\pi\) | |||||||
\(464\) | 56.8714 | + | 38.5598i | 0.122568 | + | 0.0831029i | ||||
\(465\) | 476.976 | + | 375.847i | 1.02575 | + | 0.808273i | ||||
\(466\) | 162.585 | − | 191.410i | 0.348894 | − | 0.410750i | ||||
\(467\) | −709.400 | + | 282.651i | −1.51906 | + | 0.605248i | −0.972651 | − | 0.232273i | \(-0.925384\pi\) |
−0.546406 | + | 0.837520i | \(0.684005\pi\) | |||||||
\(468\) | −104.736 | + | 19.2639i | −0.223795 | + | 0.0411622i | ||||
\(469\) | 203.389 | − | 122.375i | 0.433665 | − | 0.260928i | ||||
\(470\) | 65.5770 | + | 194.625i | 0.139525 | + | 0.414097i | ||||
\(471\) | −111.717 | + | 468.586i | −0.237192 | + | 0.994875i | ||||
\(472\) | 50.6409 | + | 159.008i | 0.107290 | + | 0.336881i | ||||
\(473\) | − | 985.119i | − | 2.08270i | ||||||
\(474\) | 405.672 | − | 36.9969i | 0.855847 | − | 0.0780525i | ||||
\(475\) | −12.2174 | + | 7.35096i | −0.0257208 | + | 0.0154757i | ||||
\(476\) | −299.876 | − | 394.480i | −0.629992 | − | 0.828740i | ||||
\(477\) | 118.381 | + | 10.5557i | 0.248178 | + | 0.0221293i | ||||
\(478\) | −149.417 | + | 175.907i | −0.312588 | + | 0.368007i | ||||
\(479\) | 199.846 | − | 431.960i | 0.417215 | − | 0.901795i | −0.579037 | − | 0.815301i | \(-0.696571\pi\) |
0.996252 | − | 0.0864944i | \(-0.0275665\pi\) | |||||||
\(480\) | −55.7602 | − | 60.9535i | −0.116167 | − | 0.126986i | ||||
\(481\) | −101.114 | + | 190.721i | −0.210216 | + | 0.396510i | ||||
\(482\) | −275.124 | + | 233.693i | −0.570798 | + | 0.484840i | ||||
\(483\) | 1.43119 | + | 38.8922i | 0.00296312 | + | 0.0805222i | ||||
\(484\) | −220.087 | + | 552.376i | −0.454724 | + | 1.14127i | ||||
\(485\) | 440.053 | − | 233.301i | 0.907326 | − | 0.481034i | ||||
\(486\) | −99.0065 | − | 329.083i | −0.203717 | − | 0.677126i | ||||
\(487\) | −718.667 | − | 546.317i | −1.47570 | − | 1.12180i | −0.965067 | − | 0.262004i | \(-0.915617\pi\) |
−0.510636 | − | 0.859797i | \(-0.670590\pi\) | |||||||
\(488\) | 70.7730 | + | 19.6500i | 0.145027 | + | 0.0402665i | ||||
\(489\) | 99.6124 | + | 493.231i | 0.203706 | + | 1.00865i | ||||
\(490\) | 35.1696 | − | 214.525i | 0.0717748 | − | 0.437807i | ||||
\(491\) | −50.1098 | + | 227.651i | −0.102057 | + | 0.463648i | 0.897679 | + | 0.440650i | \(0.145252\pi\) |
−0.999736 | + | 0.0229976i | \(0.992679\pi\) | |||||||
\(492\) | 320.259 | + | 314.106i | 0.650934 | + | 0.638427i | ||||
\(493\) | 471.343 | − | 51.2617i | 0.956071 | − | 0.103979i | ||||
\(494\) | −75.7384 | + | 51.3519i | −0.153317 | + | 0.103951i | ||||
\(495\) | 269.582 | − | 854.527i | 0.544611 | − | 1.72632i | ||||
\(496\) | 9.00501 | − | 166.088i | 0.0181553 | − | 0.334854i | ||||
\(497\) | −319.778 | − | 337.586i | −0.643417 | − | 0.679247i | ||||
\(498\) | −400.456 | + | 261.472i | −0.804128 | + | 0.525044i | ||||
\(499\) | −1.92836 | − | 35.5666i | −0.00386446 | − | 0.0712757i | 0.995965 | − | 0.0897423i | \(-0.0286043\pi\) |
−0.999829 | + | 0.0184665i | \(0.994122\pi\) | |||||||
\(500\) | −55.0511 | − | 250.100i | −0.110102 | − | 0.500199i | ||||
\(501\) | 422.149 | + | 264.100i | 0.842612 | + | 0.527146i | ||||
\(502\) | 69.1471 | + | 23.2984i | 0.137743 | + | 0.0464111i | ||||
\(503\) | 48.8115 | + | 221.753i | 0.0970407 | + | 0.440860i | 0.999939 | + | 0.0110070i | \(0.00350372\pi\) |
−0.902899 | + | 0.429853i | \(0.858565\pi\) | |||||||
\(504\) | 209.207 | + | 91.9058i | 0.415094 | + | 0.182353i | ||||
\(505\) | −436.413 | − | 413.392i | −0.864184 | − | 0.818599i | ||||
\(506\) | −28.7466 | − | 30.3474i | −0.0568115 | − | 0.0599752i | ||||
\(507\) | 385.412 | + | 114.261i | 0.760182 | + | 0.225367i | ||||
\(508\) | −38.9210 | − | 237.407i | −0.0766161 | − | 0.467337i | ||||
\(509\) | 608.669 | − | 412.688i | 1.19581 | − | 0.810781i | 0.209848 | − | 0.977734i | \(-0.432703\pi\) |
0.985965 | + | 0.166953i | \(0.0533928\pi\) | |||||||
\(510\) | −565.535 | − | 71.4726i | −1.10889 | − | 0.140142i | ||||
\(511\) | 329.871 | + | 198.477i | 0.645541 | + | 0.388409i | ||||
\(512\) | −4.86423 | + | 22.0984i | −0.00950044 | + | 0.0431609i | ||||
\(513\) | −191.620 | − | 224.673i | −0.373528 | − | 0.437959i | ||||
\(514\) | −17.2078 | + | 7.96119i | −0.0334783 | + | 0.0154887i | ||||
\(515\) | −161.022 | − | 44.7076i | −0.312665 | − | 0.0868109i | ||||
\(516\) | 223.482 | − | 183.236i | 0.433104 | − | 0.355109i | ||||
\(517\) | 606.579 | + | 65.9695i | 1.17327 | + | 0.127600i | ||||
\(518\) | 409.236 | − | 216.963i | 0.790031 | − | 0.418848i | ||||
\(519\) | 333.873 | − | 474.456i | 0.643301 | − | 0.914174i | ||||
\(520\) | −21.7923 | − | 78.4888i | −0.0419083 | − | 0.150940i | ||||
\(521\) | 55.2614 | − | 46.9395i | 0.106068 | − | 0.0900950i | −0.592783 | − | 0.805362i | \(-0.701971\pi\) |
0.698851 | + | 0.715267i | \(0.253695\pi\) | |||||||
\(522\) | −178.550 | + | 126.184i | −0.342049 | + | 0.241731i | ||||
\(523\) | −154.573 | + | 227.978i | −0.295551 | + | 0.435904i | −0.946253 | − | 0.323429i | \(-0.895164\pi\) |
0.650702 | + | 0.759333i | \(0.274475\pi\) | |||||||
\(524\) | 178.133 | − | 385.029i | 0.339949 | − | 0.734788i | ||||
\(525\) | 20.7578 | + | 28.3148i | 0.0395387 | + | 0.0539330i | ||||
\(526\) | 29.2922 | + | 73.5180i | 0.0556887 | + | 0.139768i | ||||
\(527\) | −694.574 | − | 913.697i | −1.31798 | − | 1.73377i | ||||
\(528\) | −233.909 | + | 74.3114i | −0.443010 | + | 0.140741i | ||||
\(529\) | −499.329 | + | 168.244i | −0.943912 | + | 0.318041i | ||||
\(530\) | 90.9103i | 0.171529i | ||||||||
\(531\) | −530.298 | − | 27.3000i | −0.998678 | − | 0.0514125i | ||||
\(532\) | 196.346 | 0.369072 | ||||||||
\(533\) | 141.235 | + | 419.171i | 0.264982 | + | 0.786438i | ||||
\(534\) | 61.9685 | + | 195.058i | 0.116046 | + | 0.365276i | ||||
\(535\) | −373.473 | + | 283.907i | −0.698080 | + | 0.530667i | ||||
\(536\) | −69.4802 | + | 27.6834i | −0.129627 | + | 0.0516482i | ||||
\(537\) | 46.4339 | − | 34.0410i | 0.0864690 | − | 0.0633910i | ||||
\(538\) | −160.969 | − | 74.4723i | −0.299199 | − | 0.138424i | ||||
\(539\) | −534.559 | − | 362.440i | −0.991760 | − | 0.672430i | ||||
\(540\) | 243.999 | − | 97.7886i | 0.451851 | − | 0.181090i | ||||
\(541\) | 1.50447 | + | 1.77120i | 0.00278090 | + | 0.00327393i | 0.763551 | − | 0.645748i | \(-0.223454\pi\) |
−0.760770 | + | 0.649022i | \(0.775178\pi\) | |||||||
\(542\) | −553.363 | + | 153.641i | −1.02097 | + | 0.283470i | ||||
\(543\) | −811.031 | − | 570.720i | −1.49361 | − | 1.05105i | ||||
\(544\) | 73.1347 | + | 137.947i | 0.134439 | + | 0.253578i | ||||
\(545\) | 35.7532 | − | 328.745i | 0.0656021 | − | 0.603202i | ||||
\(546\) | 142.860 | + | 174.237i | 0.261648 | + | 0.319115i | ||||
\(547\) | 153.436 | − | 552.627i | 0.280505 | − | 1.01029i | −0.680271 | − | 0.732961i | \(-0.738138\pi\) |
0.960776 | − | 0.277327i | \(-0.0894484\pi\) | |||||||
\(548\) | 143.263 | + | 309.658i | 0.261429 | + | 0.565069i | ||||
\(549\) | −137.804 | + | 188.769i | −0.251009 | + | 0.343842i | ||||
\(550\) | −36.8274 | − | 8.10633i | −0.0669590 | − | 0.0147388i | ||||
\(551\) | −96.8559 | + | 160.976i | −0.175782 | + | 0.292152i | ||||
\(552\) | 1.53756 | − | 12.1661i | 0.00278544 | − | 0.0220401i | ||||
\(553\) | −483.674 | − | 713.365i | −0.874636 | − | 1.28999i | ||||
\(554\) | −138.241 | + | 22.6634i | −0.249532 | + | 0.0409086i | ||||
\(555\) | 151.454 | − | 510.866i | 0.272890 | − | 0.920479i | ||||
\(556\) | 53.2137 | − | 50.4067i | 0.0957081 | − | 0.0906596i | ||||
\(557\) | 49.6572 | − | 52.4225i | 0.0891512 | − | 0.0941157i | −0.679893 | − | 0.733311i | \(-0.737974\pi\) |
0.769044 | + | 0.639195i | \(0.220732\pi\) | |||||||
\(558\) | 484.567 | + | 212.873i | 0.868400 | + | 0.381492i | ||||
\(559\) | 278.303 | − | 61.2590i | 0.497858 | − | 0.109587i | ||||
\(560\) | −55.8096 | + | 165.637i | −0.0996600 | + | 0.295780i | ||||
\(561\) | −898.193 | + | 1435.71i | −1.60106 | + | 2.55920i | ||||
\(562\) | −541.667 | + | 119.230i | −0.963821 | + | 0.212153i | ||||
\(563\) | 536.391 | − | 29.0823i | 0.952737 | − | 0.0516559i | 0.428788 | − | 0.903405i | \(-0.358941\pi\) |
0.523949 | + | 0.851749i | \(0.324458\pi\) | |||||||
\(564\) | 97.8605 | + | 149.878i | 0.173512 | + | 0.265741i | ||||
\(565\) | 654.343 | − | 619.826i | 1.15813 | − | 1.09704i | ||||
\(566\) | −216.784 | − | 11.7537i | −0.383011 | − | 0.0207663i | ||||
\(567\) | −508.077 | + | 520.124i | −0.896080 | + | 0.917326i | ||||
\(568\) | 82.2233 | + | 121.270i | 0.144759 | + | 0.213504i | ||||
\(569\) | 68.2059 | + | 627.143i | 0.119870 | + | 1.10218i | 0.887345 | + | 0.461106i | \(0.152547\pi\) |
−0.767475 | + | 0.641078i | \(0.778487\pi\) | |||||||
\(570\) | 158.159 | − | 161.257i | 0.277471 | − | 0.282907i | ||||
\(571\) | 292.898 | + | 64.4716i | 0.512955 | + | 0.112910i | 0.463903 | − | 0.885886i | \(-0.346449\pi\) |
0.0490527 | + | 0.998796i | \(0.484380\pi\) | |||||||
\(572\) | −238.817 | − | 39.1520i | −0.417512 | − | 0.0684476i | ||||
\(573\) | 214.021 | − | 43.2233i | 0.373509 | − | 0.0754334i | ||||
\(574\) | 253.914 | − | 914.515i | 0.442359 | − | 1.59323i | ||||
\(575\) | 1.14023 | − | 1.49995i | 0.00198301 | − | 0.00260861i | ||||
\(576\) | −60.3662 | − | 39.2419i | −0.104802 | − | 0.0681283i | ||||
\(577\) | −324.616 | − | 612.290i | −0.562592 | − | 1.06116i | −0.987750 | − | 0.156042i | \(-0.950126\pi\) |
0.425158 | − | 0.905119i | \(-0.360218\pi\) | |||||||
\(578\) | 621.167 | + | 247.495i | 1.07468 | + | 0.428193i | ||||
\(579\) | −59.8795 | + | 2.20349i | −0.103419 | + | 0.00380568i | ||||
\(580\) | −108.268 | − | 127.463i | −0.186669 | − | 0.219764i | ||||
\(581\) | 894.021 | + | 473.980i | 1.53876 | + | 0.815801i | ||||
\(582\) | 320.295 | − | 293.006i | 0.550336 | − | 0.503447i | ||||
\(583\) | 245.124 | + | 113.407i | 0.420453 | + | 0.194522i | ||||
\(584\) | −92.4529 | − | 78.5302i | −0.158310 | − | 0.134470i | ||||
\(585\) | 258.173 | + | 23.0206i | 0.441322 | + | 0.0393514i | ||||
\(586\) | −488.816 | + | 371.588i | −0.834156 | + | 0.634109i | ||||
\(587\) | −85.6505 | − | 142.352i | −0.145912 | − | 0.242508i | 0.775278 | − | 0.631620i | \(-0.217610\pi\) |
−0.921191 | + | 0.389112i | \(0.872782\pi\) | |||||||
\(588\) | −17.2078 | − | 188.684i | −0.0292650 | − | 0.320891i | ||||
\(589\) | 454.778 | 0.772119 | ||||||||
\(590\) | −15.2264 | − | 405.884i | −0.0258075 | − | 0.687939i | ||||
\(591\) | −469.056 | − | 111.830i | −0.793665 | − | 0.189221i | ||||
\(592\) | −138.308 | + | 46.6014i | −0.233629 | + | 0.0787187i | ||||
\(593\) | −251.443 | − | 417.901i | −0.424019 | − | 0.704724i | 0.569045 | − | 0.822307i | \(-0.307313\pi\) |
−0.993063 | + | 0.117582i | \(0.962486\pi\) | |||||||
\(594\) | 40.7079 | − | 779.890i | 0.0685319 | − | 1.31295i | ||||
\(595\) | 446.412 | + | 1120.41i | 0.750272 | + | 1.88304i | ||||
\(596\) | −365.719 | − | 310.644i | −0.613622 | − | 0.521215i | ||||
\(597\) | −312.482 | + | 396.562i | −0.523421 | + | 0.664258i | ||||
\(598\) | 6.78576 | − | 10.0082i | 0.0113474 | − | 0.0167362i | ||||
\(599\) | −480.199 | − | 254.585i | −0.801668 | − | 0.425018i | 0.0165944 | − | 0.999862i | \(-0.494718\pi\) |
−0.818262 | + | 0.574845i | \(0.805062\pi\) | |||||||
\(600\) | −5.01107 | − | 9.86240i | −0.00835178 | − | 0.0164373i | ||||
\(601\) | 170.347 | + | 613.534i | 0.283439 | + | 1.02086i | 0.958966 | + | 0.283520i | \(0.0915023\pi\) |
−0.675527 | + | 0.737335i | \(0.736084\pi\) | |||||||
\(602\) | −568.029 | − | 226.323i | −0.943570 | − | 0.375953i | ||||
\(603\) | −4.61641 | − | 237.943i | −0.00765574 | − | 0.394598i | ||||
\(604\) | −18.0638 | − | 1.96456i | −0.0299069 | − | 0.00325258i | ||||
\(605\) | 875.831 | − | 1152.14i | 1.44765 | − | 1.90436i | ||||
\(606\) | −458.549 | − | 253.415i | −0.756681 | − | 0.418176i | ||||
\(607\) | 381.679 | − | 176.583i | 0.628796 | − | 0.290912i | −0.0794923 | − | 0.996835i | \(-0.525330\pi\) |
0.708288 | + | 0.705924i | \(0.249468\pi\) | |||||||
\(608\) | −61.0522 | − | 10.0090i | −0.100415 | − | 0.0164622i | ||||
\(609\) | 416.395 | + | 201.505i | 0.683736 | + | 0.330878i | ||||
\(610\) | −153.184 | − | 92.1675i | −0.251121 | − | 0.151094i | ||||
\(611\) | 19.0830 | + | 175.465i | 0.0312323 | + | 0.287177i | ||||
\(612\) | −492.770 | + | 63.2859i | −0.805179 | + | 0.103408i | ||||
\(613\) | 138.365 | + | 843.990i | 0.225718 | + | 1.37682i | 0.819908 | + | 0.572495i | \(0.194024\pi\) |
−0.594190 | + | 0.804325i | \(0.702527\pi\) | |||||||
\(614\) | −272.602 | − | 14.7800i | −0.443977 | − | 0.0240717i | ||||
\(615\) | −546.550 | − | 945.185i | −0.888699 | − | 1.53689i | ||||
\(616\) | 376.992 | + | 357.106i | 0.612000 | + | 0.579718i | ||||
\(617\) | 860.555 | − | 46.6579i | 1.39474 | − | 0.0756207i | 0.658623 | − | 0.752474i | \(-0.271139\pi\) |
0.736118 | + | 0.676853i | \(0.236657\pi\) | |||||||
\(618\) | −145.627 | − | 2.53173i | −0.235643 | − | 0.00409664i | ||||
\(619\) | −195.732 | − | 65.9496i | −0.316206 | − | 0.106542i | 0.156723 | − | 0.987643i | \(-0.449907\pi\) |
−0.472929 | + | 0.881100i | \(0.656803\pi\) | |||||||
\(620\) | −129.266 | + | 383.649i | −0.208494 | + | 0.618789i | ||||
\(621\) | 34.5117 | + | 18.2079i | 0.0555744 | + | 0.0293203i | ||||
\(622\) | 41.6146 | + | 767.537i | 0.0669046 | + | 1.23398i | ||||
\(623\) | 297.792 | − | 314.375i | 0.477997 | − | 0.504615i | ||||
\(624\) | −35.5390 | − | 61.4599i | −0.0569535 | − | 0.0984934i | ||||
\(625\) | −31.9802 | + | 589.841i | −0.0511684 | + | 0.943746i | ||||
\(626\) | 201.484 | − | 33.0317i | 0.321860 | − | 0.0527663i | ||||
\(627\) | −237.506 | − | 627.609i | −0.378798 | − | 1.00097i | ||||
\(628\) | −319.264 | + | 34.7220i | −0.508382 | + | 0.0552898i | ||||
\(629\) | −519.202 | + | 862.920i | −0.825440 | + | 1.37189i | ||||
\(630\) | −430.794 | − | 351.765i | −0.683800 | − | 0.558357i | ||||
\(631\) | −32.8232 | + | 200.213i | −0.0520178 | + | 0.317295i | −0.999999 | − | 0.00103035i | \(-0.999672\pi\) |
0.947982 | + | 0.318325i | \(0.103120\pi\) | |||||||
\(632\) | 114.029 | + | 246.470i | 0.180426 | + | 0.389985i | ||||
\(633\) | −408.784 | − | 225.912i | −0.645788 | − | 0.356892i | ||||
\(634\) | 434.574 | + | 330.355i | 0.685448 | + | 0.521064i | ||||
\(635\) | −63.3090 | + | 582.117i | −0.0996992 | + | 0.916719i | ||||
\(636\) | 19.8670 | + | 76.7024i | 0.0312374 | + | 0.120601i | ||||
\(637\) | 69.1504 | − | 173.554i | 0.108556 | − | 0.272456i | ||||
\(638\) | −478.742 | + | 132.922i | −0.750379 | + | 0.208342i | ||||
\(639\) | −453.284 | + | 109.035i | −0.709365 | + | 0.170634i | ||||
\(640\) | 25.7970 | − | 48.6584i | 0.0403079 | − | 0.0760287i | ||||
\(641\) | −776.777 | − | 526.668i | −1.21182 | − | 0.821635i | −0.223602 | − | 0.974681i | \(-0.571782\pi\) |
−0.988219 | + | 0.153045i | \(0.951092\pi\) | |||||||
\(642\) | −253.062 | + | 321.153i | −0.394177 | + | 0.500238i | ||||
\(643\) | −141.716 | + | 166.841i | −0.220398 | + | 0.259473i | −0.861238 | − | 0.508202i | \(-0.830310\pi\) |
0.640840 | + | 0.767675i | \(0.278586\pi\) | |||||||
\(644\) | −24.1029 | + | 9.60349i | −0.0374269 | + | 0.0149123i | ||||
\(645\) | −643.429 | + | 284.210i | −0.997564 | + | 0.440636i | ||||
\(646\) | −365.791 | + | 220.089i | −0.566239 | + | 0.340695i | ||||
\(647\) | 25.8148 | + | 76.6155i | 0.0398992 | + | 0.118416i | 0.965751 | − | 0.259469i | \(-0.0835477\pi\) |
−0.925852 | + | 0.377886i | \(0.876651\pi\) | |||||||
\(648\) | 184.496 | − | 135.828i | 0.284716 | − | 0.209611i | ||||
\(649\) | −1113.39 | − | 465.267i | −1.71555 | − | 0.716898i | ||||
\(650\) | − | 10.9081i | − | 0.0167817i | ||||||
\(651\) | −101.703 | − | 1115.18i | −0.156227 | − | 1.71303i | ||||
\(652\) | −287.441 | + | 172.948i | −0.440861 | + | 0.265257i | ||||
\(653\) | 521.678 | + | 686.255i | 0.798894 | + | 1.05093i | 0.997487 | + | 0.0708451i | \(0.0225696\pi\) |
−0.198593 | + | 0.980082i | \(0.563637\pi\) | |||||||
\(654\) | −41.6763 | − | 285.180i | −0.0637253 | − | 0.436056i | ||||
\(655\) | −668.473 | + | 786.988i | −1.02057 | + | 1.20151i | ||||
\(656\) | −125.571 | + | 271.417i | −0.191419 | + | 0.413745i | ||||
\(657\) | 337.451 | − | 187.380i | 0.513625 | − | 0.285205i | ||||
\(658\) | 177.396 | − | 334.603i | 0.269598 | − | 0.508516i | ||||
\(659\) | −425.320 | + | 361.270i | −0.645403 | + | 0.548210i | −0.909196 | − | 0.416369i | \(-0.863302\pi\) |
0.263793 | + | 0.964579i | \(0.415026\pi\) | |||||||
\(660\) | 596.957 | − | 21.9673i | 0.904480 | − | 0.0332838i | ||||
\(661\) | −51.8380 | + | 130.104i | −0.0784236 | + | 0.196828i | −0.962961 | − | 0.269641i | \(-0.913095\pi\) |
0.884537 | + | 0.466469i | \(0.154474\pi\) | |||||||
\(662\) | 79.6799 | − | 42.2436i | 0.120362 | − | 0.0638121i | ||||
\(663\) | −461.451 | − | 164.467i | −0.696005 | − | 0.248065i | ||||
\(664\) | −253.826 | − | 192.954i | −0.382268 | − | 0.290593i | ||||
\(665\) | −460.476 | − | 127.851i | −0.692446 | − | 0.192257i | ||||
\(666\) | 16.1424 | − | 464.123i | 0.0242379 | − | 0.696882i | ||||
\(667\) | 4.01628 | − | 24.4982i | 0.00602141 | − | 0.0367290i | ||||
\(668\) | −71.3636 | + | 324.208i | −0.106832 | + | 0.485341i | ||||
\(669\) | 515.730 | − | 525.833i | 0.770896 | − | 0.785998i | ||||
\(670\) | 180.973 | − | 19.6820i | 0.270109 | − | 0.0293761i | ||||
\(671\) | −439.604 | + | 298.059i | −0.655147 | + | 0.444201i | ||||
\(672\) | −10.8902 | + | 151.947i | −0.0162056 | + | 0.226111i | ||||
\(673\) | −55.6155 | + | 1025.77i | −0.0826383 | + | 1.52417i | 0.603889 | + | 0.797069i | \(0.293617\pi\) |
−0.686527 | + | 0.727104i | \(0.740866\pi\) | |||||||
\(674\) | −319.460 | − | 337.250i | −0.473976 | − | 0.500370i | ||||
\(675\) | 34.9864 | − | 3.87637i | 0.0518317 | − | 0.00574277i | ||||
\(676\) | 14.5090 | + | 267.602i | 0.0214630 | + | 0.395861i | ||||
\(677\) | −69.1571 | − | 314.184i | −0.102152 | − | 0.464082i | −0.999730 | − | 0.0232266i | \(-0.992606\pi\) |
0.897578 | − | 0.440856i | \(-0.145325\pi\) | |||||||
\(678\) | 416.626 | − | 665.953i | 0.614493 | − | 0.982231i | ||||
\(679\) | −870.381 | − | 293.266i | −1.28186 | − | 0.431908i | ||||
\(680\) | −81.6935 | − | 371.137i | −0.120138 | − | 0.545790i | ||||
\(681\) | 198.604 | − | 1092.16i | 0.291636 | − | 1.60376i | ||||
\(682\) | 873.191 | + | 827.130i | 1.28034 | + | 1.21280i | ||||
\(683\) | −170.037 | − | 179.506i | −0.248956 | − | 0.262820i | 0.589525 | − | 0.807750i | \(-0.299315\pi\) |
−0.838482 | + | 0.544930i | \(0.816556\pi\) | |||||||
\(684\) | 98.2009 | − | 170.618i | 0.143569 | − | 0.249442i | ||||
\(685\) | −134.351 | − | 819.502i | −0.196132 | − | 1.19635i | ||||
\(686\) | 183.059 | − | 124.117i | 0.266850 | − | 0.180929i | ||||
\(687\) | −22.0541 | + | 174.506i | −0.0321021 | + | 0.254011i | ||||
\(688\) | 165.086 | + | 99.3292i | 0.239951 | + | 0.144374i | ||||
\(689\) | −16.7952 | + | 76.3014i | −0.0243762 | + | 0.110742i | ||||
\(690\) | −11.5279 | + | 27.5311i | −0.0167071 | + | 0.0399002i | ||||
\(691\) | 512.033 | − | 236.892i | 0.741003 | − | 0.342825i | −0.0128060 | − | 0.999918i | \(-0.504076\pi\) |
0.753809 | + | 0.657093i | \(0.228214\pi\) | |||||||
\(692\) | 372.672 | + | 103.472i | 0.538544 | + | 0.149526i | ||||
\(693\) | −1485.87 | + | 722.753i | −2.14411 | + | 1.04293i | ||||
\(694\) | −727.759 | − | 79.1485i | −1.04864 | − | 0.114047i | ||||
\(695\) | −157.620 | + | 83.5650i | −0.226792 | + | 0.120237i | ||||
\(696\) | −119.202 | − | 83.8823i | −0.171268 | − | 0.120521i | ||||
\(697\) | 552.061 | + | 1988.35i | 0.792054 | + | 2.85272i | ||||
\(698\) | 113.648 | − | 96.5333i | 0.162819 | − | 0.138300i | ||||
\(699\) | −351.900 | + | 399.985i | −0.503434 | + | 0.572224i | ||||
\(700\) | −13.1350 | + | 19.3727i | −0.0187643 | + | 0.0276753i | ||||
\(701\) | −15.3769 | + | 33.2366i | −0.0219357 | + | 0.0474132i | −0.918234 | − | 0.396039i | \(-0.870384\pi\) |
0.896298 | + | 0.443452i | \(0.146246\pi\) | |||||||
\(702\) | 222.856 | − | 36.9968i | 0.317458 | − | 0.0527019i | ||||
\(703\) | −147.702 | − | 370.705i | −0.210103 | − | 0.527319i | ||||
\(704\) | −99.0184 | − | 130.257i | −0.140651 | − | 0.185023i | ||||
\(705\) | −131.912 | − | 415.219i | −0.187109 | − | 0.588963i | ||||
\(706\) | 568.580 | − | 191.577i | 0.805354 | − | 0.271355i | ||||
\(707\) | 1108.49i | 1.56788i | ||||||||
\(708\) | −101.546 | − | 339.123i | −0.143427 | − | 0.478987i | ||||
\(709\) | 1032.62 | 1.45645 | 0.728226 | − | 0.685337i | \(-0.240345\pi\) | ||||
0.728226 | + | 0.685337i | \(0.240345\pi\) | |||||||
\(710\) | −113.867 | − | 337.946i | −0.160376 | − | 0.475980i | ||||
\(711\) | −861.794 | + | 63.5119i | −1.21209 | + | 0.0893275i | ||||
\(712\) | −108.621 | + | 82.5718i | −0.152558 | + | 0.115972i | ||||
\(713\) | −55.8273 | + | 22.2436i | −0.0782992 | + | 0.0311972i | ||||
\(714\) | 621.492 | + | 847.751i | 0.870436 | + | 1.18733i | ||||
\(715\) | 534.585 | + | 247.325i | 0.747672 | + | 0.345910i | ||||
\(716\) | 31.7695 | + | 21.5403i | 0.0443708 | + | 0.0300842i | ||||
\(717\) | 323.400 | − | 367.590i | 0.451046 | − | 0.512678i | ||||
\(718\) | 447.376 | + | 526.692i | 0.623087 | + | 0.733554i | ||||
\(719\) | −861.129 | + | 239.091i | −1.19768 | + | 0.332533i | −0.808425 | − | 0.588599i | \(-0.799680\pi\) |
−0.389251 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(720\) | 116.020 | + | 131.338i | 0.161139 | + | 0.182414i | ||||
\(721\) | 144.346 | + | 272.265i | 0.200202 | + | 0.377622i | ||||
\(722\) | −36.9092 | + | 339.375i | −0.0511208 | + | 0.470048i | ||||
\(723\) | 592.156 | − | 485.518i | 0.819026 | − | 0.671532i | ||||
\(724\) | 176.874 | − | 637.043i | 0.244301 | − | 0.879893i | ||||
\(725\) | −9.40343 | − | 20.3252i | −0.0129702 | − | 0.0280347i | ||||
\(726\) | 487.172 | − | 1163.47i | 0.671035 | − | 1.60258i | ||||
\(727\) | −186.147 | − | 40.9741i | −0.256049 | − | 0.0563606i | 0.0850910 | − | 0.996373i | \(-0.472882\pi\) |
−0.341140 | + | 0.940013i | \(0.610813\pi\) | |||||||
\(728\) | −77.4418 | + | 128.709i | −0.106376 | + | 0.176798i | ||||
\(729\) | 197.858 | + | 701.636i | 0.271411 | + | 0.962464i | ||||
\(730\) | 165.688 | + | 244.371i | 0.226970 | + | 0.334755i | ||||
\(731\) | 1311.92 | − | 215.078i | 1.79469 | − | 0.294225i | ||||
\(732\) | −149.385 | − | 44.2874i | −0.204078 | − | 0.0605019i | ||||
\(733\) | 353.157 | − | 334.528i | 0.481796 | − | 0.456382i | −0.407839 | − | 0.913054i | \(-0.633717\pi\) |
0.889635 | + | 0.456672i | \(0.150959\pi\) | |||||||
\(734\) | −63.0263 | + | 66.5360i | −0.0858669 | + | 0.0906486i | ||||
\(735\) | −82.5051 | + | 453.711i | −0.112252 | + | 0.617294i | ||||
\(736\) | 7.98414 | − | 1.75744i | 0.0108480 | − | 0.00238783i | ||||
\(737\) | 172.686 | − | 512.515i | 0.234310 | − | 0.695407i | ||||
\(738\) | −667.688 | − | 678.028i | −0.904726 | − | 0.918737i | ||||
\(739\) | 683.673 | − | 150.488i | 0.925132 | − | 0.203637i | 0.273238 | − | 0.961947i | \(-0.411905\pi\) |
0.651895 | + | 0.758310i | \(0.273974\pi\) | |||||||
\(740\) | 354.708 | − | 19.2317i | 0.479335 | − | 0.0259888i | ||||
\(741\) | 162.535 | − | 106.125i | 0.219345 | − | 0.143218i | ||||
\(742\) | 121.707 | − | 115.287i | 0.164025 | − | 0.155373i | ||||
\(743\) | 493.316 | + | 26.7468i | 0.663952 | + | 0.0359984i | 0.383035 | − | 0.923734i | \(-0.374879\pi\) |
0.280917 | + | 0.959732i | \(0.409362\pi\) | |||||||
\(744\) | −25.2238 | + | 351.940i | −0.0339030 | + | 0.473037i | ||||
\(745\) | 655.416 | + | 966.667i | 0.879754 | + | 1.29754i | ||||
\(746\) | 99.6473 | + | 916.242i | 0.133576 | + | 1.22821i | ||||
\(747\) | 859.008 | − | 539.815i | 1.14994 | − | 0.722645i | ||||
\(748\) | −1102.62 | − | 242.705i | −1.47409 | − | 0.324472i | ||||
\(749\) | 853.697 | + | 139.957i | 1.13978 | + | 0.186858i | ||||
\(750\) | 107.541 | + | 532.491i | 0.143388 | + | 0.709988i | ||||
\(751\) | −188.979 | + | 680.641i | −0.251636 | + | 0.906312i | 0.724522 | + | 0.689252i | \(0.242061\pi\) |
−0.976158 | + | 0.217060i | \(0.930353\pi\) | |||||||
\(752\) | −72.2164 | + | 94.9990i | −0.0960324 | + | 0.126328i | ||||
\(753\) | −145.802 | − | 51.9655i | −0.193628 | − | 0.0690113i | ||||
\(754\) | −67.3217 | − | 126.982i | −0.0892860 | − | 0.168411i | ||||
\(755\) | 41.0844 | + | 16.3695i | 0.0544165 | + | 0.0216815i | ||||
\(756\) | −440.340 | − | 202.646i | −0.582460 | − | 0.268051i | ||||
\(757\) | −196.061 | − | 230.821i | −0.258998 | − | 0.304916i | 0.617259 | − | 0.786760i | \(-0.288243\pi\) |
−0.876257 | + | 0.481844i | \(0.839967\pi\) | |||||||
\(758\) | 554.693 | + | 294.080i | 0.731785 | + | 0.387968i | ||||
\(759\) | 59.8526 | + | 65.4269i | 0.0788571 | + | 0.0862015i | ||||
\(760\) | 136.664 | + | 63.2273i | 0.179821 | + | 0.0831939i | ||||
\(761\) | 244.582 | + | 207.749i | 0.321395 | + | 0.272995i | 0.793530 | − | 0.608531i | \(-0.208241\pi\) |
−0.472135 | + | 0.881526i | \(0.656517\pi\) | |||||||
\(762\) | 73.7973 | + | 504.976i | 0.0968469 | + | 0.662698i | ||||
\(763\) | −485.449 | + | 369.029i | −0.636238 | + | 0.483655i | ||||
\(764\) | 75.0446 | + | 124.725i | 0.0982259 | + | 0.163253i | ||||
\(765\) | 1196.86 | + | 172.447i | 1.56453 | + | 0.225420i | ||||
\(766\) | 749.018 | 0.977831 | ||||||||
\(767\) | 62.2053 | − | 343.473i | 0.0811021 | − | 0.447813i | ||||
\(768\) | 11.1319 | − | 46.6913i | 0.0144946 | − | 0.0607960i | ||||
\(769\) | −156.934 | + | 52.8774i | −0.204076 | + | 0.0687612i | −0.419483 | − | 0.907763i | \(-0.637789\pi\) |
0.215407 | + | 0.976524i | \(0.430892\pi\) | |||||||
\(770\) | −651.602 | − | 1082.97i | −0.846237 | − | 1.40646i | ||||
\(771\) | 36.7914 | − | 16.2512i | 0.0477190 | − | 0.0210780i | ||||
\(772\) | −14.7858 | − | 37.1095i | −0.0191526 | − | 0.0480694i | ||||
\(773\) | 8.09313 | + | 6.87437i | 0.0104698 | + | 0.00889310i | 0.652606 | − | 0.757698i | \(-0.273676\pi\) |
−0.642136 | + | 0.766591i | \(0.721952\pi\) | |||||||
\(774\) | −480.761 | + | 380.403i | −0.621139 | + | 0.491477i | ||||
\(775\) | −30.4234 | + | 44.8711i | −0.0392559 | + | 0.0578982i | ||||
\(776\) | 255.688 | + | 135.557i | 0.329494 | + | 0.174687i | ||||
\(777\) | −875.990 | + | 445.089i | −1.12740 | + | 0.572830i | ||||
\(778\) | −91.8124 | − | 330.679i | −0.118011 | − | 0.425037i | ||||
\(779\) | −759.598 | − | 302.652i | −0.975094 | − | 0.388513i | ||||
\(780\) | 43.3273 | + | 167.278i | 0.0555479 | + | 0.214459i | ||||
\(781\) | −1053.26 | − | 114.549i | −1.34860 | − | 0.146669i | ||||
\(782\) | 34.1387 | − | 44.9087i | 0.0436556 | − | 0.0574280i | ||||
\(783\) | 383.356 | − | 261.052i | 0.489600 | − | 0.333399i | ||||
\(784\) | 114.637 | − | 53.0368i | 0.146221 | − | 0.0676489i | ||||
\(785\) | 771.354 | + | 126.457i | 0.982617 | + | 0.161092i | ||||
\(786\) | −392.018 | + | 810.078i | −0.498751 | + | 1.03063i | ||||
\(787\) | −430.190 | − | 258.837i | −0.546620 | − | 0.328890i | 0.215314 | − | 0.976545i | \(-0.430922\pi\) |
−0.761934 | + | 0.647655i | \(0.775750\pi\) | |||||||
\(788\) | −34.7569 | − | 319.584i | −0.0441077 | − | 0.405564i | ||||
\(789\) | −59.4180 | − | 157.012i | −0.0753079 | − | 0.199001i | ||||
\(790\) | −106.936 | − | 652.278i | −0.135362 | − | 0.825669i | ||||
\(791\) | −1659.59 | − | 89.9805i | −2.09809 | − | 0.113755i | ||||
\(792\) | 498.861 | − | 148.989i | 0.629876 | − | 0.188118i | ||||
\(793\) | −111.540 | − | 105.656i | −0.140656 | − | 0.133236i | ||||
\(794\) | −1103.08 | + | 59.8070i | −1.38926 | + | 0.0753237i | ||||
\(795\) | 3.35218 | − | 192.821i | 0.00421658 | − | 0.242542i | ||||
\(796\) | −318.969 | − | 107.473i | −0.400715 | − | 0.135017i | ||||
\(797\) | 251.315 | − | 745.876i | 0.315326 | − | 0.935855i | −0.666406 | − | 0.745589i | \(-0.732168\pi\) |
0.981733 | − | 0.190266i | \(-0.0609351\pi\) | |||||||
\(798\) | −416.451 | − | 7.23999i | −0.521868 | − | 0.00907267i | ||||
\(799\) | 44.5788 | + | 822.208i | 0.0557933 | + | 1.02905i | ||||
\(800\) | 5.07176 | − | 5.35419i | 0.00633970 | − | 0.00669274i | ||||
\(801\) | −124.243 | − | 416.002i | −0.155110 | − | 0.519354i | ||||
\(802\) | 30.4685 | − | 561.958i | 0.0379906 | − | 0.700696i | ||||
\(803\) | 865.595 | − | 141.907i | 1.07795 | − | 0.176721i | ||||
\(804\) | 148.388 | − | 56.1546i | 0.184563 | − | 0.0698440i | ||||
\(805\) | 62.7801 | − | 6.82775i | 0.0779877 | − | 0.00848167i | ||||
\(806\) | −179.371 | + | 298.117i | −0.222545 | + | 0.369872i | ||||
\(807\) | 338.670 | + | 163.891i | 0.419665 | + | 0.203087i | ||||
\(808\) | 56.5066 | − | 344.675i | 0.0699339 | − | 0.426578i | ||||
\(809\) | −76.7910 | − | 165.981i | −0.0949209 | − | 0.205168i | 0.854299 | − | 0.519782i | \(-0.173987\pi\) |
−0.949220 | + | 0.314614i | \(0.898125\pi\) | |||||||
\(810\) | −521.129 | + | 198.413i | −0.643369 | + | 0.244954i | ||||
\(811\) | −163.879 | − | 124.578i | −0.202070 | − | 0.153610i | 0.499245 | − | 0.866461i | \(-0.333611\pi\) |
−0.701316 | + | 0.712851i | \(0.747404\pi\) | |||||||
\(812\) | −33.3431 | + | 306.585i | −0.0410630 | + | 0.377568i | ||||
\(813\) | 1179.35 | − | 305.467i | 1.45061 | − | 0.375728i | ||||
\(814\) | 390.628 | − | 980.401i | 0.479886 | − | 1.20442i | ||||
\(815\) | 786.728 | − | 218.434i | 0.965311 | − | 0.268017i | ||||
\(816\) | −150.032 | − | 295.282i | −0.183863 | − | 0.361865i | ||||
\(817\) | −246.748 | + | 465.415i | −0.302017 | + | 0.569664i | ||||
\(818\) | 588.952 | + | 399.319i | 0.719990 | + | 0.488166i | ||||
\(819\) | −296.580 | − | 374.825i | −0.362125 | − | 0.457661i | ||||
\(820\) | 471.224 | − | 554.768i | 0.574663 | − | 0.676546i | ||||
\(821\) | 350.778 | − | 139.763i | 0.427256 | − | 0.170235i | −0.146590 | − | 0.989197i | \(-0.546830\pi\) |
0.573847 | + | 0.818963i | \(0.305451\pi\) | |||||||
\(822\) | −292.442 | − | 662.067i | −0.355769 | − | 0.805434i | ||||
\(823\) | 696.430 | − | 419.028i | 0.846209 | − | 0.509147i | −0.0252126 | − | 0.999682i | \(-0.508026\pi\) |
0.871421 | + | 0.490535i | \(0.163199\pi\) | |||||||
\(824\) | −31.0040 | − | 92.0166i | −0.0376262 | − | 0.111671i | ||||
\(825\) | 77.8121 | + | 18.5515i | 0.0943177 | + | 0.0224866i | ||||
\(826\) | −524.070 | + | 535.101i | −0.634468 | + | 0.647822i | ||||
\(827\) | 1281.84i | 1.54999i | 0.631970 | + | 0.774993i | \(0.282247\pi\) | ||||
−0.631970 | + | 0.774993i | \(0.717753\pi\) | |||||||
\(828\) | −3.70978 | + | 25.7477i | −0.00448041 | + | 0.0310962i | ||||
\(829\) | −1281.47 | + | 771.032i | −1.54580 | + | 0.930075i | −0.550332 | + | 0.834946i | \(0.685499\pi\) |
−0.995465 | + | 0.0951287i | \(0.969674\pi\) | |||||||
\(830\) | 469.638 | + | 617.798i | 0.565829 | + | 0.744335i | ||||
\(831\) | 294.044 | − | 42.9716i | 0.353843 | − | 0.0517107i | ||||
\(832\) | 30.6409 | − | 36.0733i | 0.0368280 | − | 0.0433573i | ||||
\(833\) | 365.966 | − | 791.023i | 0.439335 | − | 0.949607i | ||||
\(834\) | −114.725 | + | 104.950i | −0.137560 | + | 0.125840i | ||||
\(835\) | 378.471 | − | 713.872i | 0.453259 | − | 0.854937i | ||||
\(836\) | 340.964 | − | 289.617i | 0.407851 | − | 0.346432i | ||||
\(837\) | −1019.92 | − | 469.370i | −1.21854 | − | 0.560777i | ||||
\(838\) | −22.5787 | + | 56.6683i | −0.0269436 | + | 0.0676233i | ||||
\(839\) | −344.433 | + | 182.607i | −0.410528 | + | 0.217648i | −0.660856 | − | 0.750513i | \(-0.729806\pi\) |
0.250328 | + | 0.968161i | \(0.419462\pi\) | |||||||
\(840\) | 124.480 | − | 349.258i | 0.148190 | − | 0.415783i | ||||
\(841\) | 434.607 | + | 330.379i | 0.516774 | + | 0.392841i | ||||
\(842\) | 228.027 | + | 63.3115i | 0.270816 | + | 0.0751918i | ||||
\(843\) | 1153.27 | − | 232.914i | 1.36806 | − | 0.276291i | ||||
\(844\) | 50.3741 | − | 307.268i | 0.0596849 | − | 0.364062i | ||||
\(845\) | 140.222 | − | 637.035i | 0.165943 | − | 0.753887i | ||||
\(846\) | −202.036 | − | 321.499i | −0.238813 | − | 0.380023i | ||||
\(847\) | −2653.10 | + | 288.542i | −3.13235 | + | 0.340664i | ||||
\(848\) | −43.7205 | + | 29.6432i | −0.0515572 | + | 0.0349566i | ||||
\(849\) | 459.366 | + | 32.9232i | 0.541067 | + | 0.0387788i | ||||
\(850\) | 2.75507 | − | 50.8144i | 0.00324126 | − | 0.0597816i | ||||
\(851\) | 36.2631 | + | 38.2825i | 0.0426123 | + | 0.0449853i | ||||
\(852\) | −169.924 | − | 260.246i | −0.199441 | − | 0.305453i | ||||
\(853\) | 78.8238 | + | 1453.82i | 0.0924077 | + | 1.70436i | 0.566644 | + | 0.823963i | \(0.308242\pi\) |
−0.474236 | + | 0.880398i | \(0.657276\pi\) | |||||||
\(854\) | 70.8680 | + | 321.957i | 0.0829836 | + | 0.376998i | ||||
\(855\) | −341.401 | + | 336.194i | −0.399299 | + | 0.393209i | ||||
\(856\) | −258.315 | − | 87.0365i | −0.301770 | − | 0.101678i | ||||
\(857\) | −195.147 | − | 886.563i | −0.227710 | − | 1.03450i | −0.942252 | − | 0.334904i | \(-0.891296\pi\) |
0.714543 | − | 0.699592i | \(-0.246635\pi\) | |||||||
\(858\) | 505.087 | + | 91.8475i | 0.588679 | + | 0.107048i | ||||
\(859\) | 792.075 | + | 750.293i | 0.922089 | + | 0.873449i | 0.992272 | − | 0.124085i | \(-0.0395995\pi\) |
−0.0701823 | + | 0.997534i | \(0.522358\pi\) | |||||||
\(860\) | −322.487 | − | 340.445i | −0.374984 | − | 0.395866i | ||||
\(861\) | −572.273 | + | 1930.32i | −0.664660 | + | 2.24195i | ||||
\(862\) | −168.769 | − | 1029.44i | −0.195787 | − | 1.19425i | ||||
\(863\) | 1106.11 | − | 749.958i | 1.28170 | − | 0.869013i | 0.285694 | − | 0.958321i | \(-0.407776\pi\) |
0.996004 | + | 0.0893084i | \(0.0284657\pi\) | |||||||
\(864\) | 126.590 | + | 85.4579i | 0.146516 | + | 0.0989097i | ||||
\(865\) | −806.624 | − | 485.330i | −0.932514 | − | 0.561075i | ||||
\(866\) | −216.039 | + | 981.473i | −0.249467 | + | 1.13334i | ||||
\(867\) | −1308.37 | − | 547.842i | −1.50908 | − | 0.631883i | ||||
\(868\) | 677.540 | − | 313.463i | 0.780576 | − | 0.361133i | ||||
\(869\) | −1892.16 | − | 525.354i | −2.17739 | − | 0.604551i | ||||
\(870\) | 224.936 | + | 274.341i | 0.258548 | + | 0.315335i | ||||
\(871\) | 155.527 | + | 16.9146i | 0.178562 | + | 0.0194198i | ||||
\(872\) | 169.758 | − | 89.9999i | 0.194676 | − | 0.103211i | ||||
\(873\) | −690.150 | + | 609.656i | −0.790550 | + | 0.698346i | ||||
\(874\) | 5.97995 | + | 21.5378i | 0.00684205 | + | 0.0246428i | ||||
\(875\) | 876.017 | − | 744.095i | 1.00116 | − | 0.850395i | ||||
\(876\) | 193.197 | + | 169.972i | 0.220544 | + | 0.194032i | ||||
\(877\) | −178.941 | + | 263.918i | −0.204038 | + | 0.300933i | −0.915916 | − | 0.401369i | \(-0.868534\pi\) |
0.711878 | + | 0.702303i | \(0.247845\pi\) | |||||||
\(878\) | −422.477 | + | 913.168i | −0.481181 | + | 1.04005i | ||||
\(879\) | 1050.48 | − | 770.114i | 1.19508 | − | 0.876125i | ||||
\(880\) | 147.404 | + | 369.956i | 0.167505 | + | 0.420405i | ||||
\(881\) | −995.645 | − | 1309.75i | −1.13013 | − | 1.48666i | −0.850062 | − | 0.526682i | \(-0.823436\pi\) |
−0.280069 | − | 0.959980i | \(-0.590357\pi\) | |||||||
\(882\) | 29.5403 | + | 400.833i | 0.0334925 | + | 0.454460i | ||||
\(883\) | 757.210 | − | 255.134i | 0.857543 | − | 0.288940i | 0.144023 | − | 0.989574i | \(-0.453996\pi\) |
0.713520 | + | 0.700635i | \(0.247100\pi\) | |||||||
\(884\) | − | 326.590i | − | 0.369445i | ||||||
\(885\) | 17.3289 | + | 861.441i | 0.0195807 | + | 0.973380i | ||||
\(886\) | −50.8085 | −0.0573459 | ||||||||
\(887\) | 397.055 | + | 1178.42i | 0.447638 | + | 1.32854i | 0.899682 | + | 0.436546i | \(0.143798\pi\) |
−0.452044 | + | 0.891996i | \(0.649305\pi\) | |||||||
\(888\) | 295.070 | − | 93.7418i | 0.332286 | − | 0.105565i | ||||
\(889\) | 859.597 | − | 653.449i | 0.966926 | − | 0.735038i | ||||
\(890\) | 308.508 | − | 122.921i | 0.346638 | − | 0.138113i | ||||
\(891\) | −115.099 | + | 1652.65i | −0.129179 | + | 1.85482i | ||||
\(892\) | 445.638 | + | 206.174i | 0.499594 | + | 0.231137i | ||||
\(893\) | −270.052 | − | 183.100i | −0.302410 | − | 0.205039i | ||||
\(894\) | 764.234 | + | 672.361i | 0.854848 | + | 0.752082i | ||||
\(895\) | −60.4807 | − | 71.2034i | −0.0675762 | − | 0.0795569i | ||||
\(896\) | −97.8559 | + | 27.1696i | −0.109214 | + | 0.0303232i | ||||
\(897\) | −14.7616 | + | 20.9773i | −0.0164567 | + | 0.0233860i | ||||
\(898\) | −299.065 | − | 564.097i | −0.333035 | − | 0.628170i | ||||
\(899\) | −77.2295 | + | 710.114i | −0.0859060 | + | 0.789893i | ||||
\(900\) | 10.2648 | + | 21.1029i | 0.0114054 | + | 0.0234477i | ||||
\(901\) | −97.5105 | + | 351.201i | −0.108225 | + | 0.389791i | ||||
\(902\) | −908.006 | − | 1962.62i | −1.00666 | − | 2.17586i | ||||
\(903\) | 1196.44 | + | 500.977i | 1.32497 | + | 0.554792i | ||||
\(904\) | 511.449 | + | 112.578i | 0.565762 | + | 0.124534i | ||||
\(905\) | −829.618 | + | 1378.84i | −0.916705 | + | 1.52358i | ||||
\(906\) | 38.2409 | + | 4.83290i | 0.0422085 | + | 0.00533433i | ||||
\(907\) | −810.468 | − | 1195.35i | −0.893570 | − | 1.31792i | −0.947627 | − | 0.319380i | \(-0.896526\pi\) |
0.0540567 | − | 0.998538i | \(-0.482785\pi\) | |||||||
\(908\) | 730.298 | − | 119.726i | 0.804293 | − | 0.131857i | ||||
\(909\) | 963.237 | + | 554.401i | 1.05967 | + | 0.609902i | ||||
\(910\) | 265.427 | − | 251.426i | 0.291678 | − | 0.276292i | ||||
\(911\) | −990.091 | + | 1045.23i | −1.08682 | + | 1.14734i | −0.0984681 | + | 0.995140i | \(0.531394\pi\) |
−0.988350 | + | 0.152199i | \(0.951364\pi\) | |||||||
\(912\) | 129.123 | + | 23.4803i | 0.141582 | + | 0.0257459i | ||||
\(913\) | 2251.64 | − | 495.624i | 2.46620 | − | 0.542852i | ||||
\(914\) | 170.681 | − | 506.564i | 0.186741 | − | 0.554228i | ||||
\(915\) | 321.504 | + | 201.136i | 0.351370 | + | 0.219820i | ||||
\(916\) | −114.521 | + | 25.2080i | −0.125023 | + | 0.0275196i | ||||
\(917\) | 1901.30 | − | 103.086i | 2.07339 | − | 0.112416i | ||||
\(918\) | 1047.50 | − | 116.059i | 1.14107 | − | 0.126426i | ||||
\(919\) | −505.799 | + | 479.118i | −0.550380 | + | 0.521347i | −0.911570 | − | 0.411145i | \(-0.865129\pi\) |
0.361190 | + | 0.932492i | \(0.382370\pi\) | |||||||
\(920\) | −19.8690 | − | 1.07726i | −0.0215967 | − | 0.00117094i | ||||
\(921\) | 577.643 | + | 41.4003i | 0.627192 | + | 0.0449514i | ||||
\(922\) | 406.503 | + | 599.547i | 0.440893 | + | 0.650268i | ||||
\(923\) | −33.1355 | − | 304.676i | −0.0358997 | − | 0.330093i | ||||
\(924\) | −786.433 | − | 771.323i | −0.851118 | − | 0.834765i | ||||
\(925\) | 46.4568 | + | 10.2259i | 0.0502236 | + | 0.0110550i | ||||
\(926\) | −393.494 | − | 64.5100i | −0.424939 | − | 0.0696652i | ||||
\(927\) | 308.782 | + | 10.7396i | 0.333098 | + | 0.0115853i | ||||
\(928\) | 25.9963 | − | 93.6302i | 0.0280133 | − | 0.100895i | ||||
\(929\) | 36.8764 | − | 48.5101i | 0.0396948 | − | 0.0522176i | −0.775817 | − | 0.630957i | \(-0.782662\pi\) |
0.815512 | + | 0.578740i | \(0.196455\pi\) | |||||||
\(930\) | 288.320 | − | 808.953i | 0.310022 | − | 0.869842i | ||||
\(931\) | 161.768 | + | 305.127i | 0.173757 | + | 0.327741i | ||||
\(932\) | −329.941 | − | 131.461i | −0.354014 | − | 0.141052i | ||||
\(933\) | −59.9628 | − | 1629.48i | −0.0642689 | − | 1.74650i | ||||
\(934\) | 699.141 | + | 823.092i | 0.748545 | + | 0.881255i | ||||
\(935\) | 2427.85 | + | 1287.17i | 2.59663 | + | 1.37665i | ||||
\(936\) | 73.1119 | + | 131.667i | 0.0781110 | + | 0.140670i | ||||
\(937\) | 229.471 | + | 106.165i | 0.244900 | + | 0.113303i | 0.538500 | − | 0.842626i | \(-0.318991\pi\) |
−0.293600 | + | 0.955928i | \(0.594853\pi\) | |||||||
\(938\) | −255.848 | − | 217.319i | −0.272759 | − | 0.231683i | ||||
\(939\) | −428.566 | + | 62.6308i | −0.456407 | + | 0.0666994i | ||||
\(940\) | 231.222 | − | 175.770i | 0.245981 | − | 0.186990i | ||||
\(941\) | 267.960 | + | 445.352i | 0.284760 | + | 0.473275i | 0.965913 | − | 0.258866i | \(-0.0833487\pi\) |
−0.681153 | + | 0.732141i | \(0.738521\pi\) | |||||||
\(942\) | 678.439 | − | 61.8730i | 0.720211 | − | 0.0656826i | ||||
\(943\) | 108.049 | 0.114580 | ||||||||
\(944\) | 190.232 | − | 139.670i | 0.201517 | − | 0.147955i | ||||
\(945\) | 900.743 | + | 761.978i | 0.953168 | + | 0.806326i | ||||
\(946\) | −1320.24 | + | 444.841i | −1.39560 | + | 0.470233i | ||||
\(947\) | 380.758 | + | 632.824i | 0.402067 | + | 0.668241i | 0.990063 | − | 0.140623i | \(-0.0449105\pi\) |
−0.587996 | + | 0.808864i | \(0.700083\pi\) | |||||||
\(948\) | −232.768 | − | 526.968i | −0.245536 | − | 0.555874i | ||||
\(949\) | 93.9162 | + | 235.712i | 0.0989633 | + | 0.248379i | ||||
\(950\) | 15.3685 | + | 13.0542i | 0.0161774 | + | 0.0137412i | ||||
\(951\) | −909.550 | − | 716.707i | −0.956415 | − | 0.753635i | ||||
\(952\) | −393.264 | + | 580.021i | −0.413093 | + | 0.609266i | ||||
\(953\) | 519.453 | + | 275.397i | 0.545072 | + | 0.288979i | 0.718102 | − | 0.695938i | \(-0.245011\pi\) |
−0.173030 | + | 0.984916i | \(0.555356\pi\) | |||||||
\(954\) | −39.3095 | − | 163.418i | −0.0412050 | − | 0.171298i | ||||
\(955\) | −94.7818 | − | 341.373i | −0.0992480 | − | 0.357459i | ||||
\(956\) | 303.219 | + | 120.814i | 0.317175 | + | 0.126374i | ||||
\(957\) | 1020.31 | − | 264.275i | 1.06616 | − | 0.276149i | ||||
\(958\) | −669.148 | − | 72.7743i | −0.698485 | − | 0.0759648i | ||||
\(959\) | −926.739 | + | 1219.10i | −0.966360 | + | 1.27122i | ||||
\(960\) | −56.5097 | + | 102.253i | −0.0588643 | + | 0.106514i | ||||
\(961\) | 697.141 | − | 322.532i | 0.725433 | − | 0.335621i | ||||
\(962\) | 301.261 | + | 49.3892i | 0.313161 | + | 0.0513401i | ||||
\(963\) | 548.586 | − | 671.834i | 0.569664 | − | 0.697647i | ||||
\(964\) | 437.427 | + | 263.191i | 0.453762 | + | 0.273020i | ||||
\(965\) | 10.5122 | + | 96.6579i | 0.0108935 | + | 0.100164i | ||||
\(966\) | 51.4765 | − | 19.4802i | 0.0532883 | − | 0.0201659i | ||||
\(967\) | −171.353 | − | 1045.20i | −0.177200 | − | 1.08087i | −0.914284 | − | 0.405073i | \(-0.867246\pi\) |
0.737084 | − | 0.675801i | \(-0.236202\pi\) | |||||||
\(968\) | 839.667 | + | 45.5254i | 0.867425 | + | 0.0470304i | ||||
\(969\) | 783.957 | − | 453.321i | 0.809038 | − | 0.467823i | ||||
\(970\) | −511.377 | − | 484.402i | −0.527193 | − | 0.499384i | ||||
\(971\) | −505.421 | + | 27.4031i | −0.520516 | + | 0.0282215i | −0.312525 | − | 0.949909i | \(-0.601175\pi\) |
−0.207990 | + | 0.978131i | \(0.566692\pi\) | |||||||
\(972\) | −396.325 | + | 281.288i | −0.407741 | + | 0.289391i | ||||
\(973\) | 311.758 | + | 105.043i | 0.320409 | + | 0.107958i | ||||
\(974\) | −407.643 | + | 1209.84i | −0.418525 | + | 1.24214i | ||||
\(975\) | −0.402220 | + | 23.1360i | −0.000412533 | + | 0.0237293i | ||||
\(976\) | −5.62365 | − | 103.722i | −0.00576193 | − | 0.106273i | ||||
\(977\) | 187.751 | − | 198.207i | 0.192171 | − | 0.202873i | −0.622789 | − | 0.782390i | \(-0.714000\pi\) |
0.814960 | + | 0.579517i | \(0.196759\pi\) | |||||||
\(978\) | 616.040 | − | 356.223i | 0.629898 | − | 0.364236i | ||||
\(979\) | 53.4148 | − | 985.178i | 0.0545606 | − | 1.00631i | ||||
\(980\) | −303.385 | + | 49.7374i | −0.309576 | + | 0.0507524i | ||||
\(981\) | 77.8799 | + | 606.404i | 0.0793882 | + | 0.618149i | ||||
\(982\) | 327.722 | − | 35.6419i | 0.333729 | − | 0.0362952i | ||||
\(983\) | −345.437 | + | 574.120i | −0.351411 | + | 0.584049i | −0.981265 | − | 0.192665i | \(-0.938287\pi\) |
0.629854 | + | 0.776713i | \(0.283115\pi\) | |||||||
\(984\) | 276.344 | − | 571.044i | 0.280837 | − | 0.580330i | ||||
\(985\) | −126.584 | + | 772.128i | −0.128512 | + | 0.783886i | ||||
\(986\) | −281.540 | − | 608.539i | −0.285538 | − | 0.617179i | ||||
\(987\) | −388.594 | + | 703.153i | −0.393712 | + | 0.712414i | ||||
\(988\) | 103.021 | + | 78.3149i | 0.104273 | + | 0.0792661i | ||||
\(989\) | 7.52614 | − | 69.2018i | 0.00760985 | − | 0.0699714i | ||||
\(990\) | −1266.96 | + | 24.5807i | −1.27975 | + | 0.0248290i | ||||
\(991\) | −356.192 | + | 893.975i | −0.359427 | + | 0.902093i | 0.632416 | + | 0.774629i | \(0.282063\pi\) |
−0.991843 | + | 0.127465i | \(0.959316\pi\) | |||||||
\(992\) | −226.654 | + | 62.9302i | −0.228482 | + | 0.0634377i | ||||
\(993\) | −170.559 | + | 86.6607i | −0.171761 | + | 0.0872716i | ||||
\(994\) | −308.028 | + | 581.002i | −0.309887 | + | 0.584509i | ||||
\(995\) | 678.073 | + | 459.745i | 0.681481 | + | 0.462055i | ||||
\(996\) | 531.250 | + | 418.614i | 0.533384 | + | 0.420295i | ||||
\(997\) | −203.611 | + | 239.709i | −0.204223 | + | 0.240430i | −0.854733 | − | 0.519067i | \(-0.826279\pi\) |
0.650510 | + | 0.759498i | \(0.274555\pi\) | |||||||
\(998\) | −46.7950 | + | 18.6448i | −0.0468888 | + | 0.0186822i | ||||
\(999\) | −51.3520 | + | 983.810i | −0.0514034 | + | 0.984795i |
(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 | 354.3.h.a.71.11 | yes | 1120 | |
3.2 | odd | 2 | inner | 354.3.h.a.71.25 | yes | 1120 | |
59.5 | even | 29 | inner | 354.3.h.a.5.25 | yes | 1120 | |
177.5 | odd | 58 | inner | 354.3.h.a.5.11 | ✓ | 1120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.h.a.5.11 | ✓ | 1120 | 177.5 | odd | 58 | inner | |
354.3.h.a.5.25 | yes | 1120 | 59.5 | even | 29 | inner | |
354.3.h.a.71.11 | yes | 1120 | 1.1 | even | 1 | trivial | |
354.3.h.a.71.25 | yes | 1120 | 3.2 | odd | 2 | inner |