Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 175.3 |
Dual form | 175.2.x.a.117.17 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32350 | − | 2.03802i | 0.935859 | − | 1.44110i | 0.0387686 | − | 0.999248i | \(-0.487656\pi\) |
0.897090 | − | 0.441848i | \(-0.145677\pi\) | |||||||
\(3\) | 0.732885 | − | 1.90923i | 0.423131 | − | 1.10229i | −0.541966 | − | 0.840401i | \(-0.682320\pi\) |
0.965097 | − | 0.261894i | \(-0.0843470\pi\) | |||||||
\(4\) | −1.58838 | − | 3.56756i | −0.794189 | − | 1.78378i | ||||
\(5\) | −0.600501 | + | 2.15393i | −0.268552 | + | 0.963265i | ||||
\(6\) | −2.92107 | − | 4.02051i | −1.19252 | − | 1.64136i | ||||
\(7\) | 1.28591 | + | 2.31224i | 0.486027 | + | 0.873944i | ||||
\(8\) | −4.57269 | − | 0.724243i | −1.61669 | − | 0.256059i | ||||
\(9\) | −0.878604 | − | 0.791099i | −0.292868 | − | 0.263700i | ||||
\(10\) | 3.59497 | + | 4.07456i | 1.13683 | + | 1.28849i | ||||
\(11\) | 1.38351 | + | 1.53654i | 0.417143 | + | 0.463284i | 0.914692 | − | 0.404152i | \(-0.132433\pi\) |
−0.497549 | + | 0.867436i | \(0.665767\pi\) | |||||||
\(12\) | −7.97539 | + | 0.417972i | −2.30230 | + | 0.120658i | ||||
\(13\) | −4.81187 | − | 2.45177i | −1.33457 | − | 0.679998i | −0.366441 | − | 0.930441i | \(-0.619424\pi\) |
−0.968131 | + | 0.250443i | \(0.919424\pi\) | |||||||
\(14\) | 6.41428 | + | 0.439557i | 1.71429 | + | 0.117477i | ||||
\(15\) | 3.67224 | + | 2.72507i | 0.948169 | + | 0.703611i | ||||
\(16\) | −2.30185 | + | 2.55646i | −0.575462 | + | 0.639116i | ||||
\(17\) | −3.44487 | + | 4.25406i | −0.835503 | + | 1.03176i | 0.163474 | + | 0.986548i | \(0.447730\pi\) |
−0.998977 | + | 0.0452132i | \(0.985603\pi\) | |||||||
\(18\) | −2.77511 | + | 0.743588i | −0.654100 | + | 0.175265i | ||||
\(19\) | 2.12064 | + | 0.944170i | 0.486508 | + | 0.216607i | 0.635306 | − | 0.772260i | \(-0.280874\pi\) |
−0.148798 | + | 0.988868i | \(0.547540\pi\) | |||||||
\(20\) | 8.63808 | − | 1.27893i | 1.93153 | − | 0.285977i | ||||
\(21\) | 5.35702 | − | 0.760487i | 1.16900 | − | 0.165952i | ||||
\(22\) | 4.96257 | − | 0.785994i | 1.05802 | − | 0.167574i | ||||
\(23\) | −2.35431 | − | 1.52890i | −0.490907 | − | 0.318799i | 0.275338 | − | 0.961348i | \(-0.411210\pi\) |
−0.766245 | + | 0.642549i | \(0.777877\pi\) | |||||||
\(24\) | −4.73400 | + | 8.19953i | −0.966324 | + | 1.67372i | ||||
\(25\) | −4.27880 | − | 2.58687i | −0.855759 | − | 0.517374i | ||||
\(26\) | −11.3653 | + | 6.56174i | −2.22891 | + | 1.28686i | ||||
\(27\) | 3.31219 | − | 1.68764i | 0.637430 | − | 0.324787i | ||||
\(28\) | 6.20654 | − | 8.26026i | 1.17293 | − | 1.56104i | ||||
\(29\) | 3.75352 | − | 5.16628i | 0.697011 | − | 0.959353i | −0.302969 | − | 0.953001i | \(-0.597978\pi\) |
0.999980 | − | 0.00635297i | \(-0.00202223\pi\) | |||||||
\(30\) | 10.4140 | − | 3.87745i | 1.90132 | − | 0.707922i | ||||
\(31\) | −7.04756 | + | 0.740728i | −1.26578 | + | 0.133039i | −0.713520 | − | 0.700635i | \(-0.752900\pi\) |
−0.552258 | + | 0.833673i | \(0.686234\pi\) | |||||||
\(32\) | −0.232896 | − | 0.869181i | −0.0411706 | − | 0.153651i | ||||
\(33\) | 3.94756 | − | 1.51533i | 0.687181 | − | 0.263784i | ||||
\(34\) | 4.11055 | + | 12.6510i | 0.704953 | + | 2.16962i | ||||
\(35\) | −5.75258 | + | 1.38125i | −0.972363 | + | 0.233473i | ||||
\(36\) | −1.42673 | + | 4.39104i | −0.237789 | + | 0.731839i | ||||
\(37\) | 0.0212703 | + | 0.405862i | 0.00349682 | + | 0.0667234i | 0.999821 | − | 0.0189451i | \(-0.00603076\pi\) |
−0.996324 | + | 0.0856684i | \(0.972697\pi\) | |||||||
\(38\) | 4.73091 | − | 3.07229i | 0.767455 | − | 0.498391i | ||||
\(39\) | −8.20753 | + | 7.39010i | −1.31426 | + | 1.18336i | ||||
\(40\) | 4.30587 | − | 9.41433i | 0.680818 | − | 1.48854i | ||||
\(41\) | 8.72248 | − | 2.83411i | 1.36222 | − | 0.442613i | 0.465438 | − | 0.885081i | \(-0.345897\pi\) |
0.896784 | + | 0.442468i | \(0.145897\pi\) | |||||||
\(42\) | 5.54015 | − | 11.9242i | 0.854863 | − | 1.83994i | ||||
\(43\) | −3.92695 | − | 3.92695i | −0.598854 | − | 0.598854i | 0.341153 | − | 0.940008i | \(-0.389182\pi\) |
−0.940008 | + | 0.341153i | \(0.889182\pi\) | |||||||
\(44\) | 3.28416 | − | 7.37634i | 0.495106 | − | 1.11203i | ||||
\(45\) | 2.23157 | − | 1.41739i | 0.332663 | − | 0.211293i | ||||
\(46\) | −6.23187 | + | 2.77461i | −0.918839 | + | 0.409093i | ||||
\(47\) | −2.08214 | + | 1.68609i | −0.303712 | + | 0.245941i | −0.769045 | − | 0.639195i | \(-0.779268\pi\) |
0.465333 | + | 0.885136i | \(0.345934\pi\) | |||||||
\(48\) | 3.19388 | + | 6.26835i | 0.460997 | + | 0.904759i | ||||
\(49\) | −3.69289 | + | 5.94664i | −0.527556 | + | 0.849520i | ||||
\(50\) | −10.9351 | + | 5.29653i | −1.54646 | + | 0.749043i | ||||
\(51\) | 5.59728 | + | 9.69478i | 0.783777 | + | 1.35754i | ||||
\(52\) | −1.10376 | + | 21.0610i | −0.153064 | + | 2.92063i | ||||
\(53\) | 3.78851 | + | 1.45427i | 0.520392 | + | 0.199760i | 0.604364 | − | 0.796708i | \(-0.293427\pi\) |
−0.0839720 | + | 0.996468i | \(0.526761\pi\) | |||||||
\(54\) | 0.944245 | − | 8.98389i | 0.128496 | − | 1.22255i | ||||
\(55\) | −4.14039 | + | 2.05728i | −0.558290 | + | 0.277403i | ||||
\(56\) | −4.20543 | − | 11.5045i | −0.561974 | − | 1.53735i | ||||
\(57\) | 3.35682 | − | 3.35682i | 0.444622 | − | 0.444622i | ||||
\(58\) | −5.56116 | − | 14.4873i | −0.730217 | − | 1.90228i | ||||
\(59\) | 0.0385257 | + | 0.00818888i | 0.00501561 | + | 0.00106610i | 0.210419 | − | 0.977611i | \(-0.432517\pi\) |
−0.205403 | + | 0.978677i | \(0.565851\pi\) | |||||||
\(60\) | 3.88895 | − | 17.4294i | 0.502061 | − | 2.25012i | ||||
\(61\) | 1.48049 | + | 6.96514i | 0.189557 | + | 0.891794i | 0.965381 | + | 0.260845i | \(0.0840011\pi\) |
−0.775824 | + | 0.630949i | \(0.782666\pi\) | |||||||
\(62\) | −7.81785 | + | 15.3434i | −0.992868 | + | 1.94861i | ||||
\(63\) | 0.699406 | − | 3.04882i | 0.0881169 | − | 0.384115i | ||||
\(64\) | −8.62303 | − | 2.80179i | −1.07788 | − | 0.350224i | ||||
\(65\) | 8.17046 | − | 8.89212i | 1.01342 | − | 1.10293i | ||||
\(66\) | 2.13635 | − | 10.0507i | 0.262966 | − | 1.23716i | ||||
\(67\) | 6.86093 | + | 5.55587i | 0.838196 | + | 0.678758i | 0.949066 | − | 0.315077i | \(-0.102030\pi\) |
−0.110870 | + | 0.993835i | \(0.535364\pi\) | |||||||
\(68\) | 20.6484 | + | 5.53271i | 2.50398 | + | 0.670940i | ||||
\(69\) | −4.64447 | + | 3.37440i | −0.559128 | + | 0.406230i | ||||
\(70\) | −4.79856 | + | 13.5519i | −0.573537 | + | 1.61977i | ||||
\(71\) | 9.94567 | + | 7.22595i | 1.18033 | + | 0.857562i | 0.992209 | − | 0.124583i | \(-0.0397592\pi\) |
0.188124 | + | 0.982145i | \(0.439759\pi\) | |||||||
\(72\) | 3.44464 | + | 4.25377i | 0.405955 | + | 0.501312i | ||||
\(73\) | −2.80557 | − | 0.147034i | −0.328367 | − | 0.0172090i | −0.112560 | − | 0.993645i | \(-0.535905\pi\) |
−0.215807 | + | 0.976436i | \(0.569238\pi\) | |||||||
\(74\) | 0.855306 | + | 0.493811i | 0.0994273 | + | 0.0574044i | ||||
\(75\) | −8.07479 | + | 6.27333i | −0.932397 | + | 0.724382i | ||||
\(76\) | − | 9.06520i | − | 1.03985i | ||||||
\(77\) | −1.77379 | + | 5.17484i | −0.202142 | + | 0.589728i | ||||
\(78\) | 4.19844 | + | 26.5079i | 0.475380 | + | 3.00143i | ||||
\(79\) | −7.96355 | − | 0.837003i | −0.895969 | − | 0.0941702i | −0.354662 | − | 0.934995i | \(-0.615404\pi\) |
−0.541308 | + | 0.840825i | \(0.682071\pi\) | |||||||
\(80\) | −4.12417 | − | 6.49317i | −0.461096 | − | 0.725959i | ||||
\(81\) | −1.16539 | − | 11.0880i | −0.129488 | − | 1.23200i | ||||
\(82\) | 5.76828 | − | 21.5275i | 0.637000 | − | 2.37732i | ||||
\(83\) | −1.44682 | + | 9.13488i | −0.158809 | + | 1.00268i | 0.771586 | + | 0.636125i | \(0.219464\pi\) |
−0.930395 | + | 0.366558i | \(0.880536\pi\) | |||||||
\(84\) | −11.2221 | − | 17.9035i | −1.22443 | − | 1.95343i | ||||
\(85\) | −7.09428 | − | 9.97456i | −0.769483 | − | 1.08189i | ||||
\(86\) | −13.2005 | + | 2.80586i | −1.42345 | + | 0.302563i | ||||
\(87\) | −7.11271 | − | 10.9526i | −0.762563 | − | 1.17424i | ||||
\(88\) | −5.21352 | − | 8.02812i | −0.555763 | − | 0.855800i | ||||
\(89\) | 2.35180 | − | 0.499890i | 0.249290 | − | 0.0529883i | −0.0815716 | − | 0.996667i | \(-0.525994\pi\) |
0.330862 | + | 0.943679i | \(0.392661\pi\) | |||||||
\(90\) | 0.0648213 | − | 6.42391i | 0.00683276 | − | 0.677139i | ||||
\(91\) | −0.518537 | − | 14.2789i | −0.0543575 | − | 1.49684i | ||||
\(92\) | −1.71492 | + | 10.8276i | −0.178793 | + | 1.12886i | ||||
\(93\) | −3.75083 | + | 13.9983i | −0.388942 | + | 1.45155i | ||||
\(94\) | 0.680548 | + | 6.47498i | 0.0701932 | + | 0.667844i | ||||
\(95\) | −3.30712 | + | 4.00073i | −0.339303 | + | 0.410466i | ||||
\(96\) | −1.83015 | − | 0.192357i | −0.186789 | − | 0.0196323i | ||||
\(97\) | −2.60779 | − | 16.4649i | −0.264781 | − | 1.67176i | −0.658539 | − | 0.752546i | \(-0.728825\pi\) |
0.393758 | − | 0.919214i | \(-0.371175\pi\) | |||||||
\(98\) | 7.23181 | + | 15.3966i | 0.730523 | + | 1.55529i | ||||
\(99\) | − | 2.44450i | − | 0.245681i | ||||||
\(100\) | −2.43245 | + | 19.3738i | −0.243245 | + | 1.93738i | ||||
\(101\) | 2.70125 | + | 1.55957i | 0.268784 | + | 0.155183i | 0.628335 | − | 0.777943i | \(-0.283737\pi\) |
−0.359551 | + | 0.933125i | \(0.617070\pi\) | |||||||
\(102\) | 27.1662 | + | 1.42372i | 2.68985 | + | 0.140969i | ||||
\(103\) | −6.98713 | − | 8.62839i | −0.688462 | − | 0.850180i | 0.306349 | − | 0.951919i | \(-0.400893\pi\) |
−0.994811 | + | 0.101739i | \(0.967559\pi\) | |||||||
\(104\) | 20.2275 | + | 14.6961i | 1.98347 | + | 1.44108i | ||||
\(105\) | −1.57886 | + | 11.9953i | −0.154081 | + | 1.17062i | ||||
\(106\) | 7.97794 | − | 5.79632i | 0.774886 | − | 0.562988i | ||||
\(107\) | −5.30928 | − | 1.42262i | −0.513267 | − | 0.137530i | −0.00711676 | − | 0.999975i | \(-0.502265\pi\) |
−0.506151 | + | 0.862445i | \(0.668932\pi\) | |||||||
\(108\) | −11.2818 | − | 9.13580i | −1.08559 | − | 0.879092i | ||||
\(109\) | −2.19354 | + | 10.3198i | −0.210103 | + | 0.988456i | 0.739052 | + | 0.673648i | \(0.235274\pi\) |
−0.949155 | + | 0.314808i | \(0.898060\pi\) | |||||||
\(110\) | −1.28705 | + | 11.1610i | −0.122716 | + | 1.06416i | ||||
\(111\) | 0.790473 | + | 0.256840i | 0.0750284 | + | 0.0243782i | ||||
\(112\) | −8.87111 | − | 2.03505i | −0.838241 | − | 0.192294i | ||||
\(113\) | 2.84806 | − | 5.58963i | 0.267923 | − | 0.525828i | −0.717372 | − | 0.696690i | \(-0.754655\pi\) |
0.985295 | + | 0.170862i | \(0.0546552\pi\) | |||||||
\(114\) | −2.39849 | − | 11.2840i | −0.224640 | − | 1.05685i | ||||
\(115\) | 4.70691 | − | 4.15289i | 0.438922 | − | 0.387259i | ||||
\(116\) | −24.3930 | − | 5.18489i | −2.26483 | − | 0.481405i | ||||
\(117\) | 2.28814 | + | 5.96080i | 0.211538 | + | 0.551076i | ||||
\(118\) | 0.0676779 | − | 0.0676779i | 0.00623026 | − | 0.00623026i | ||||
\(119\) | −14.2662 | − | 2.49504i | −1.30778 | − | 0.228720i | ||||
\(120\) | −14.8184 | − | 15.1205i | −1.35273 | − | 1.38031i | ||||
\(121\) | 0.702950 | − | 6.68812i | 0.0639045 | − | 0.608011i | ||||
\(122\) | 16.1545 | + | 6.20113i | 1.46256 | + | 0.561424i | ||||
\(123\) | 0.981613 | − | 18.7303i | 0.0885090 | − | 1.68885i | ||||
\(124\) | 13.8368 | + | 23.9660i | 1.24258 | + | 2.15221i | ||||
\(125\) | 8.14135 | − | 7.66280i | 0.728184 | − | 0.685381i | ||||
\(126\) | −5.28788 | − | 5.46053i | −0.471082 | − | 0.486463i | ||||
\(127\) | 0.0522005 | + | 0.102449i | 0.00463204 | + | 0.00909090i | 0.893311 | − | 0.449439i | \(-0.148376\pi\) |
−0.888679 | + | 0.458530i | \(0.848376\pi\) | |||||||
\(128\) | −15.7241 | + | 12.7331i | −1.38983 | + | 1.12546i | ||||
\(129\) | −10.3755 | + | 4.61945i | −0.913507 | + | 0.406720i | ||||
\(130\) | −7.30866 | − | 28.4203i | −0.641011 | − | 2.49262i | ||||
\(131\) | 1.83346 | − | 4.11802i | 0.160190 | − | 0.359793i | −0.815563 | − | 0.578669i | \(-0.803572\pi\) |
0.975753 | + | 0.218876i | \(0.0702391\pi\) | |||||||
\(132\) | −11.6762 | − | 11.6762i | −1.01628 | − | 1.01628i | ||||
\(133\) | 0.543799 | + | 6.11754i | 0.0471534 | + | 0.530458i | ||||
\(134\) | 20.4034 | − | 6.62948i | 1.76259 | − | 0.572700i | ||||
\(135\) | 1.64609 | + | 8.14764i | 0.141673 | + | 0.701237i | ||||
\(136\) | 18.8333 | − | 16.9576i | 1.61494 | − | 1.45410i | ||||
\(137\) | 12.3939 | − | 8.04872i | 1.05889 | − | 0.687649i | 0.107049 | − | 0.994254i | \(-0.465860\pi\) |
0.951837 | + | 0.306605i | \(0.0991931\pi\) | |||||||
\(138\) | 0.730121 | + | 13.9315i | 0.0621520 | + | 1.18593i | ||||
\(139\) | 6.53701 | − | 20.1189i | 0.554462 | − | 1.70646i | −0.142897 | − | 0.989738i | \(-0.545642\pi\) |
0.697359 | − | 0.716722i | \(-0.254358\pi\) | |||||||
\(140\) | 14.0650 | + | 18.3287i | 1.18871 | + | 1.54906i | ||||
\(141\) | 1.69315 | + | 5.21099i | 0.142589 | + | 0.438845i | ||||
\(142\) | 27.8897 | − | 10.7059i | 2.34046 | − | 0.898417i | ||||
\(143\) | −2.89001 | − | 10.7857i | −0.241675 | − | 0.901942i | ||||
\(144\) | 4.04483 | − | 0.425129i | 0.337069 | − | 0.0354274i | ||||
\(145\) | 8.87379 | + | 11.1872i | 0.736928 | + | 0.929043i | ||||
\(146\) | −4.01284 | + | 5.52319i | −0.332105 | + | 0.457103i | ||||
\(147\) | 8.64705 | + | 11.4088i | 0.713196 | + | 0.940980i | ||||
\(148\) | 1.41415 | − | 0.720546i | 0.116243 | − | 0.0592286i | ||||
\(149\) | 6.08466 | − | 3.51298i | 0.498474 | − | 0.287794i | −0.229609 | − | 0.973283i | \(-0.573745\pi\) |
0.728083 | + | 0.685489i | \(0.240411\pi\) | |||||||
\(150\) | 2.09814 | + | 24.7593i | 0.171312 | + | 2.02159i | ||||
\(151\) | −9.79544 | + | 16.9662i | −0.797142 | + | 1.38069i | 0.124328 | + | 0.992241i | \(0.460322\pi\) |
−0.921470 | + | 0.388449i | \(0.873011\pi\) | |||||||
\(152\) | −9.01323 | − | 5.85326i | −0.731069 | − | 0.474762i | ||||
\(153\) | 6.39206 | − | 1.01240i | 0.516767 | − | 0.0818479i | ||||
\(154\) | 8.19880 | + | 10.4639i | 0.660678 | + | 0.843207i | ||||
\(155\) | 2.63659 | − | 15.6247i | 0.211776 | − | 1.25501i | ||||
\(156\) | 39.4013 | + | 17.5426i | 3.15463 | + | 1.40453i | ||||
\(157\) | −1.74133 | + | 0.466587i | −0.138973 | + | 0.0372377i | −0.327635 | − | 0.944804i | \(-0.606252\pi\) |
0.188662 | + | 0.982042i | \(0.439585\pi\) | |||||||
\(158\) | −12.2456 | + | 15.1221i | −0.974209 | + | 1.20305i | ||||
\(159\) | 5.55308 | − | 6.16732i | 0.440388 | − | 0.489101i | ||||
\(160\) | 2.01201 | + | 0.0203024i | 0.159063 | + | 0.00160505i | ||||
\(161\) | 0.507774 | − | 7.40975i | 0.0400182 | − | 0.583970i | ||||
\(162\) | −24.1399 | − | 12.2999i | −1.89661 | − | 0.966371i | ||||
\(163\) | −1.31043 | + | 0.0686766i | −0.102641 | + | 0.00537916i | −0.103587 | − | 0.994620i | \(-0.533032\pi\) |
0.000946526 | 1.00000i | \(0.499699\pi\) | ||||||||
\(164\) | −23.9654 | − | 26.6163i | −1.87139 | − | 2.07838i | ||||
\(165\) | 0.893387 | + | 9.41270i | 0.0695501 | + | 0.732778i | ||||
\(166\) | 16.7022 | + | 15.0387i | 1.29634 | + | 1.16723i | ||||
\(167\) | −0.192973 | − | 0.0305638i | −0.0149327 | − | 0.00236510i | 0.148964 | − | 0.988843i | \(-0.452406\pi\) |
−0.163896 | + | 0.986478i | \(0.552406\pi\) | |||||||
\(168\) | −25.0468 | − | 0.402310i | −1.93240 | − | 0.0310389i | ||||
\(169\) | 9.50169 | + | 13.0780i | 0.730899 | + | 1.00600i | ||||
\(170\) | −29.7176 | + | 1.25690i | −2.27924 | + | 0.0963999i | ||||
\(171\) | −1.11627 | − | 2.50719i | −0.0853634 | − | 0.191729i | ||||
\(172\) | −7.77213 | + | 20.2471i | −0.592620 | + | 1.54383i | ||||
\(173\) | −2.48902 | + | 3.83276i | −0.189237 | + | 0.291399i | −0.920536 | − | 0.390657i | \(-0.872248\pi\) |
0.731299 | + | 0.682057i | \(0.238914\pi\) | |||||||
\(174\) | −31.7353 | −2.40585 | ||||||||
\(175\) | 0.479326 | − | 13.2201i | 0.0362336 | − | 0.999343i | ||||
\(176\) | −7.11273 | −0.536142 | ||||||||
\(177\) | 0.0438693 | − | 0.0675528i | 0.00329742 | − | 0.00507758i | ||||
\(178\) | 2.09383 | − | 5.45462i | 0.156939 | − | 0.408841i | ||||
\(179\) | 6.63112 | + | 14.8937i | 0.495633 | + | 1.11321i | 0.972217 | + | 0.234081i | \(0.0752081\pi\) |
−0.476584 | + | 0.879129i | \(0.658125\pi\) | |||||||
\(180\) | −8.60121 | − | 5.70990i | −0.641097 | − | 0.425591i | ||||
\(181\) | 6.42376 | + | 8.84155i | 0.477474 | + | 0.657187i | 0.978017 | − | 0.208525i | \(-0.0668662\pi\) |
−0.500543 | + | 0.865712i | \(0.666866\pi\) | |||||||
\(182\) | −29.7870 | − | 17.8414i | −2.20796 | − | 1.32249i | ||||
\(183\) | 14.3831 | + | 2.27805i | 1.06323 | + | 0.168399i | ||||
\(184\) | 9.65822 | + | 8.69630i | 0.712013 | + | 0.641100i | ||||
\(185\) | −0.886970 | − | 0.197906i | −0.0652114 | − | 0.0145503i | ||||
\(186\) | 23.5645 | + | 26.1710i | 1.72783 | + | 1.91895i | ||||
\(187\) | −11.3025 | + | 0.592340i | −0.826523 | + | 0.0433162i | ||||
\(188\) | 9.32244 | + | 4.75002i | 0.679909 | + | 0.346431i | ||||
\(189\) | 8.16139 | + | 5.48841i | 0.593654 | + | 0.399223i | ||||
\(190\) | 3.77657 | + | 12.0349i | 0.273981 | + | 0.873107i | ||||
\(191\) | −17.6941 | + | 19.6512i | −1.28030 | + | 1.42191i | −0.423806 | + | 0.905753i | \(0.639306\pi\) |
−0.856492 | + | 0.516161i | \(0.827361\pi\) | |||||||
\(192\) | −11.6689 | + | 14.4099i | −0.842134 | + | 1.03995i | ||||
\(193\) | 12.4199 | − | 3.32790i | 0.894002 | − | 0.239547i | 0.217564 | − | 0.976046i | \(-0.430189\pi\) |
0.676439 | + | 0.736499i | \(0.263522\pi\) | |||||||
\(194\) | −37.0072 | − | 16.4767i | −2.65696 | − | 1.18296i | ||||
\(195\) | −10.9891 | − | 22.1162i | −0.786945 | − | 1.58377i | ||||
\(196\) | 27.0807 | + | 3.72908i | 1.93434 | + | 0.266363i | ||||
\(197\) | −12.6628 | + | 2.00559i | −0.902189 | + | 0.142893i | −0.590260 | − | 0.807213i | \(-0.700975\pi\) |
−0.311929 | + | 0.950106i | \(0.600975\pi\) | |||||||
\(198\) | −4.98193 | − | 3.23531i | −0.354051 | − | 0.229923i | ||||
\(199\) | −0.816805 | + | 1.41475i | −0.0579018 | + | 0.100289i | −0.893523 | − | 0.449017i | \(-0.851774\pi\) |
0.835622 | + | 0.549306i | \(0.185108\pi\) | |||||||
\(200\) | 17.6921 | + | 14.9278i | 1.25102 | + | 1.05556i | ||||
\(201\) | 15.6357 | − | 9.02728i | 1.10286 | − | 0.636736i | ||||
\(202\) | 6.75353 | − | 3.44110i | 0.475177 | − | 0.242115i | ||||
\(203\) | 16.7723 | + | 2.03568i | 1.17719 | + | 0.142877i | ||||
\(204\) | 25.6961 | − | 35.3676i | 1.79909 | − | 2.47623i | ||||
\(205\) | 0.866597 | + | 20.4895i | 0.0605258 | + | 1.43105i | ||||
\(206\) | −26.8323 | + | 2.82019i | −1.86949 | + | 0.196492i | ||||
\(207\) | 0.858989 | + | 3.20579i | 0.0597039 | + | 0.222818i | ||||
\(208\) | 17.3440 | − | 6.65776i | 1.20259 | − | 0.461632i | ||||
\(209\) | 1.48316 | + | 4.56471i | 0.102593 | + | 0.315748i | ||||
\(210\) | 22.3570 | + | 19.0936i | 1.54278 | + | 1.31758i | ||||
\(211\) | −1.38124 | + | 4.25101i | −0.0950883 | + | 0.292652i | −0.987277 | − | 0.159012i | \(-0.949169\pi\) |
0.892188 | + | 0.451664i | \(0.149169\pi\) | |||||||
\(212\) | −0.829388 | − | 15.8257i | −0.0569626 | − | 1.08691i | ||||
\(213\) | 21.0850 | − | 13.6928i | 1.44472 | − | 0.938214i | ||||
\(214\) | −9.92617 | + | 8.93756i | −0.678539 | + | 0.610959i | ||||
\(215\) | 10.8165 | − | 6.10022i | 0.737679 | − | 0.416032i | ||||
\(216\) | −16.3679 | + | 5.31824i | −1.11369 | + | 0.361861i | ||||
\(217\) | −10.7752 | − | 15.3431i | −0.731471 | − | 1.04156i | ||||
\(218\) | 18.1287 | + | 18.1287i | 1.22783 | + | 1.22783i | ||||
\(219\) | −2.33688 | + | 5.24871i | −0.157912 | + | 0.354675i | ||||
\(220\) | 13.9160 | + | 11.5033i | 0.938214 | + | 0.775555i | ||||
\(221\) | 27.0062 | − | 12.0239i | 1.81664 | − | 0.808818i | ||||
\(222\) | 1.56964 | − | 1.27107i | 0.105347 | − | 0.0853086i | ||||
\(223\) | −8.27155 | − | 16.2338i | −0.553904 | − | 1.08710i | −0.982960 | − | 0.183820i | \(-0.941154\pi\) |
0.429056 | − | 0.903278i | \(-0.358846\pi\) | |||||||
\(224\) | 1.71027 | − | 1.65620i | 0.114272 | − | 0.110659i | ||||
\(225\) | 1.71290 | + | 5.65779i | 0.114193 | + | 0.377186i | ||||
\(226\) | −7.62235 | − | 13.2023i | −0.507031 | − | 0.878203i | ||||
\(227\) | 0.577721 | − | 11.0236i | 0.0383447 | − | 0.731660i | −0.910037 | − | 0.414528i | \(-0.863947\pi\) |
0.948381 | − | 0.317132i | \(-0.102720\pi\) | |||||||
\(228\) | −17.3076 | − | 6.64375i | −1.14622 | − | 0.439993i | ||||
\(229\) | 2.08376 | − | 19.8256i | 0.137699 | − | 1.31011i | −0.679465 | − | 0.733708i | \(-0.737788\pi\) |
0.817163 | − | 0.576406i | \(-0.195545\pi\) | |||||||
\(230\) | −2.23406 | − | 15.0891i | −0.147309 | − | 0.994948i | ||||
\(231\) | 8.57998 | + | 7.17912i | 0.564521 | + | 0.472352i | ||||
\(232\) | −20.9053 | + | 20.9053i | −1.37250 | + | 1.37250i | ||||
\(233\) | 1.68027 | + | 4.37725i | 0.110078 | + | 0.286763i | 0.977543 | − | 0.210735i | \(-0.0675856\pi\) |
−0.867465 | + | 0.497498i | \(0.834252\pi\) | |||||||
\(234\) | 15.1766 | + | 3.22588i | 0.992123 | + | 0.210882i | ||||
\(235\) | −2.38138 | − | 5.49728i | −0.155344 | − | 0.358603i | ||||
\(236\) | −0.0319790 | − | 0.150450i | −0.00208166 | − | 0.00979343i | ||||
\(237\) | −7.43439 | + | 14.5908i | −0.482916 | + | 0.947776i | ||||
\(238\) | −23.9663 | + | 25.7725i | −1.55350 | + | 1.67058i | ||||
\(239\) | 15.3187 | + | 4.97734i | 0.990884 | + | 0.321958i | 0.759217 | − | 0.650838i | \(-0.225582\pi\) |
0.231667 | + | 0.972795i | \(0.425582\pi\) | |||||||
\(240\) | −15.4195 | + | 3.11524i | −0.995324 | + | 0.201088i | ||||
\(241\) | 2.84430 | − | 13.3814i | 0.183218 | − | 0.861971i | −0.786471 | − | 0.617627i | \(-0.788094\pi\) |
0.969689 | − | 0.244344i | \(-0.0785726\pi\) | |||||||
\(242\) | −12.7001 | − | 10.2844i | −0.816396 | − | 0.661105i | ||||
\(243\) | −11.2515 | − | 3.01484i | −0.721786 | − | 0.193402i | ||||
\(244\) | 22.4969 | − | 16.3450i | 1.44022 | − | 1.04638i | ||||
\(245\) | −10.5910 | − | 11.5252i | −0.676637 | − | 0.736317i | ||||
\(246\) | −36.8735 | − | 26.7902i | −2.35097 | − | 1.70808i | ||||
\(247\) | −7.88935 | − | 9.74254i | −0.501987 | − | 0.619903i | ||||
\(248\) | 32.7628 | + | 1.71702i | 2.08044 | + | 0.109031i | ||||
\(249\) | 16.3802 | + | 9.45713i | 1.03805 | + | 0.599321i | ||||
\(250\) | −4.84181 | − | 26.7340i | −0.306223 | − | 1.69080i | ||||
\(251\) | − | 0.00533874i | − | 0.000336978i | −1.00000 | 0.000168489i | \(-0.999946\pi\) | |||
1.00000 | 0.000168489i | \(-5.36317e-5\pi\) | ||||||||
\(252\) | −11.9878 | + | 2.34751i | −0.755158 | + | 0.147879i | ||||
\(253\) | −0.907976 | − | 5.73273i | −0.0570839 | − | 0.360414i | ||||
\(254\) | 0.277881 | + | 0.0292065i | 0.0174358 | + | 0.00183258i | ||||
\(255\) | −24.2430 | + | 6.23441i | −1.51816 | + | 0.390414i | ||||
\(256\) | 3.24394 | + | 30.8641i | 0.202747 | + | 1.92900i | ||||
\(257\) | −2.75812 | + | 10.2934i | −0.172047 | + | 0.642087i | 0.824989 | + | 0.565148i | \(0.191181\pi\) |
−0.997036 | + | 0.0769383i | \(0.975486\pi\) | |||||||
\(258\) | −4.31743 | + | 27.2592i | −0.268792 | + | 1.69708i | ||||
\(259\) | −0.911099 | + | 0.571083i | −0.0566129 | + | 0.0354854i | ||||
\(260\) | −44.7009 | − | 15.0245i | −2.77223 | − | 0.931782i | ||||
\(261\) | −7.38489 | + | 1.56971i | −0.457113 | + | 0.0971625i | ||||
\(262\) | −5.96600 | − | 9.18683i | −0.368581 | − | 0.567564i | ||||
\(263\) | −1.12690 | − | 1.73528i | −0.0694879 | − | 0.107002i | 0.802218 | − | 0.597031i | \(-0.203653\pi\) |
−0.871706 | + | 0.490029i | \(0.836986\pi\) | |||||||
\(264\) | −19.1484 | + | 4.07012i | −1.17850 | + | 0.250499i | ||||
\(265\) | −5.40740 | + | 7.28688i | −0.332174 | + | 0.447630i | ||||
\(266\) | 13.1874 | + | 6.98831i | 0.808570 | + | 0.428481i | ||||
\(267\) | 0.769192 | − | 4.85649i | 0.0470738 | − | 0.297212i | ||||
\(268\) | 8.92314 | − | 33.3016i | 0.545068 | − | 2.03422i | ||||
\(269\) | −0.361957 | − | 3.44380i | −0.0220689 | − | 0.209972i | −0.999999 | − | 0.00104154i | \(-0.999668\pi\) |
0.977931 | − | 0.208930i | \(-0.0669982\pi\) | |||||||
\(270\) | 18.7836 | + | 7.42867i | 1.14314 | + | 0.452095i | ||||
\(271\) | −3.25103 | − | 0.341698i | −0.197486 | − | 0.0207566i | 0.00526882 | − | 0.999986i | \(-0.498323\pi\) |
−0.202755 | + | 0.979229i | \(0.564990\pi\) | |||||||
\(272\) | −2.94577 | − | 18.5989i | −0.178614 | − | 1.12772i | ||||
\(273\) | −27.6418 | − | 9.47480i | −1.67296 | − | 0.573441i | ||||
\(274\) | − | 35.9116i | − | 2.16950i | ||||||
\(275\) | −1.94492 | − | 10.1535i | −0.117283 | − | 0.612278i | ||||
\(276\) | 19.4155 | + | 11.2096i | 1.16868 | + | 0.674737i | ||||
\(277\) | −32.6500 | − | 1.71111i | −1.96175 | − | 0.102811i | −0.971048 | − | 0.238884i | \(-0.923218\pi\) |
−0.990699 | + | 0.136074i | \(0.956552\pi\) | |||||||
\(278\) | −32.3508 | − | 39.9499i | −1.94027 | − | 2.39604i | ||||
\(279\) | 6.77800 | + | 4.92451i | 0.405788 | + | 0.294822i | ||||
\(280\) | 27.3051 | − | 2.14975i | 1.63179 | − | 0.128472i | ||||
\(281\) | −15.0878 | + | 10.9619i | −0.900063 | + | 0.653934i | −0.938482 | − | 0.345328i | \(-0.887768\pi\) |
0.0384191 | + | 0.999262i | \(0.487768\pi\) | |||||||
\(282\) | 12.8610 | + | 3.44609i | 0.765861 | + | 0.205212i | ||||
\(283\) | 17.8795 | + | 14.4785i | 1.06282 | + | 0.860658i | 0.990608 | − | 0.136731i | \(-0.0436595\pi\) |
0.0722162 | + | 0.997389i | \(0.476993\pi\) | |||||||
\(284\) | 9.98150 | − | 46.9593i | 0.592293 | − | 2.78652i | ||||
\(285\) | 5.21457 | + | 9.24612i | 0.308885 | + | 0.547693i | ||||
\(286\) | −25.8063 | − | 8.38498i | −1.52596 | − | 0.495814i | ||||
\(287\) | 17.7694 | + | 16.5241i | 1.04890 | + | 0.975384i | ||||
\(288\) | −0.482984 | + | 0.947910i | −0.0284601 | + | 0.0558561i | ||||
\(289\) | −2.69540 | − | 12.6808i | −0.158553 | − | 0.745932i | ||||
\(290\) | 34.5441 | − | 3.27868i | 2.02850 | − | 0.192531i | ||||
\(291\) | −33.3465 | − | 7.08803i | −1.95481 | − | 0.415507i | ||||
\(292\) | 3.93175 | + | 10.2426i | 0.230088 | + | 0.599401i | ||||
\(293\) | −6.36211 | + | 6.36211i | −0.371678 | + | 0.371678i | −0.868088 | − | 0.496410i | \(-0.834651\pi\) |
0.496410 | + | 0.868088i | \(0.334651\pi\) | |||||||
\(294\) | 34.6957 | − | 2.52326i | 2.02349 | − | 0.147160i | ||||
\(295\) | −0.0407729 | + | 0.0780640i | −0.00237389 | + | 0.00454506i | ||||
\(296\) | 0.196680 | − | 1.87129i | 0.0114318 | − | 0.108766i | ||||
\(297\) | 7.17556 | + | 2.75444i | 0.416368 | + | 0.159829i | ||||
\(298\) | 0.893557 | − | 17.0501i | 0.0517623 | − | 0.987684i | ||||
\(299\) | 7.58009 | + | 13.1291i | 0.438368 | + | 0.759276i | ||||
\(300\) | 35.2063 | + | 18.8429i | 2.03264 | + | 1.08789i | ||||
\(301\) | 4.03035 | − | 14.1297i | 0.232306 | − | 0.814424i | ||||
\(302\) | 21.6131 | + | 42.4181i | 1.24370 | + | 2.44089i | ||||
\(303\) | 4.95727 | − | 4.01432i | 0.284788 | − | 0.230617i | ||||
\(304\) | −7.29513 | + | 3.24800i | −0.418404 | + | 0.186286i | ||||
\(305\) | −15.8914 | − | 0.993714i | −0.909940 | − | 0.0568999i | ||||
\(306\) | 6.39662 | − | 14.3670i | 0.365670 | − | 0.821309i | ||||
\(307\) | 18.7776 | + | 18.7776i | 1.07170 | + | 1.07170i | 0.997223 | + | 0.0744731i | \(0.0237275\pi\) |
0.0744731 | + | 0.997223i | \(0.476273\pi\) | |||||||
\(308\) | 21.2790 | − | 1.89153i | 1.21248 | − | 0.107780i | ||||
\(309\) | −21.5943 | + | 7.01642i | −1.22846 | + | 0.399150i | ||||
\(310\) | −28.3539 | − | 26.0528i | −1.61039 | − | 1.47970i | ||||
\(311\) | −0.786449 | + | 0.708122i | −0.0445954 | + | 0.0401539i | −0.691127 | − | 0.722733i | \(-0.742886\pi\) |
0.646532 | + | 0.762887i | \(0.276219\pi\) | |||||||
\(312\) | 42.8828 | − | 27.8484i | 2.42776 | − | 1.57660i | ||||
\(313\) | 0.988626 | + | 18.8641i | 0.0558804 | + | 1.06626i | 0.872353 | + | 0.488877i | \(0.162593\pi\) |
−0.816472 | + | 0.577385i | \(0.804073\pi\) | |||||||
\(314\) | −1.35374 | + | 4.16638i | −0.0763960 | + | 0.235123i | ||||
\(315\) | 6.14694 | + | 3.33729i | 0.346341 | + | 0.188035i | ||||
\(316\) | 9.66308 | + | 29.7399i | 0.543591 | + | 1.67300i | ||||
\(317\) | 26.9691 | − | 10.3525i | 1.51473 | − | 0.581452i | 0.547829 | − | 0.836590i | \(-0.315454\pi\) |
0.966904 | + | 0.255139i | \(0.0821212\pi\) | |||||||
\(318\) | −5.21959 | − | 19.4798i | −0.292700 | − | 1.09237i | ||||
\(319\) | 13.1312 | − | 1.38015i | 0.735206 | − | 0.0772733i | ||||
\(320\) | 11.2130 | − | 16.8909i | 0.626825 | − | 0.944229i | ||||
\(321\) | −6.60719 | + | 9.09402i | −0.368778 | + | 0.507579i | ||||
\(322\) | −14.4291 | − | 10.8417i | −0.804105 | − | 0.604183i | ||||
\(323\) | −11.3219 | + | 5.76879i | −0.629966 | + | 0.320984i | ||||
\(324\) | −37.7059 | + | 21.7695i | −2.09477 | + | 1.20942i | ||||
\(325\) | 14.2466 | + | 22.9383i | 0.790259 | + | 1.27239i | ||||
\(326\) | −1.59439 | + | 2.76157i | −0.0883052 | + | 0.152949i | ||||
\(327\) | 18.0952 | + | 11.7512i | 1.00067 | + | 0.649842i | ||||
\(328\) | −41.9378 | + | 6.64229i | −2.31563 | + | 0.366759i | ||||
\(329\) | −6.57607 | − | 2.64626i | −0.362551 | − | 0.145893i | ||||
\(330\) | 20.3656 | + | 10.6370i | 1.12109 | + | 0.585548i | ||||
\(331\) | −1.63280 | − | 0.726968i | −0.0897466 | − | 0.0399578i | 0.361372 | − | 0.932422i | \(-0.382308\pi\) |
−0.451119 | + | 0.892464i | \(0.648975\pi\) | |||||||
\(332\) | 34.8873 | − | 9.34803i | 1.91469 | − | 0.513040i | ||||
\(333\) | 0.302389 | − | 0.373419i | 0.0165708 | − | 0.0204633i | ||||
\(334\) | −0.317690 | + | 0.352830i | −0.0173832 | + | 0.0193060i | ||||
\(335\) | −16.0869 | + | 11.4416i | −0.878923 | + | 0.625123i | ||||
\(336\) | −10.3869 | + | 15.4455i | −0.566651 | + | 0.842623i | ||||
\(337\) | −12.9437 | − | 6.59514i | −0.705088 | − | 0.359260i | 0.0643976 | − | 0.997924i | \(-0.479487\pi\) |
−0.769486 | + | 0.638664i | \(0.779487\pi\) | |||||||
\(338\) | 39.2286 | − | 2.05588i | 2.13376 | − | 0.111825i | ||||
\(339\) | −8.58459 | − | 9.53415i | −0.466251 | − | 0.517824i | ||||
\(340\) | −24.3164 | + | 41.1526i | −1.31874 | + | 2.23182i | ||||
\(341\) | −10.8885 | − | 9.80404i | −0.589645 | − | 0.530919i | ||||
\(342\) | −6.58708 | − | 1.04329i | −0.356189 | − | 0.0564147i | ||||
\(343\) | −18.4988 | − | 0.892015i | −0.998839 | − | 0.0481643i | ||||
\(344\) | 15.1127 | + | 20.8008i | 0.814820 | + | 1.12150i | ||||
\(345\) | −4.47921 | − | 12.0302i | −0.241152 | − | 0.647682i | ||||
\(346\) | 4.51700 | + | 10.1454i | 0.242835 | + | 0.545417i | ||||
\(347\) | 1.53455 | − | 3.99763i | 0.0823788 | − | 0.214604i | −0.886204 | − | 0.463295i | \(-0.846667\pi\) |
0.968583 | + | 0.248691i | \(0.0800004\pi\) | |||||||
\(348\) | −27.7764 | + | 42.7719i | −1.48897 | + | 2.29282i | ||||
\(349\) | 9.54903 | 0.511148 | 0.255574 | − | 0.966789i | \(-0.417736\pi\) | ||||
0.255574 | + | 0.966789i | \(0.417736\pi\) | |||||||
\(350\) | −26.3083 | − | 18.4737i | −1.40624 | − | 0.987460i | ||||
\(351\) | −20.0755 | −1.07155 | ||||||||
\(352\) | 1.01332 | − | 1.56037i | 0.0540100 | − | 0.0831681i | ||||
\(353\) | −2.05626 | + | 5.35674i | −0.109444 | + | 0.285110i | −0.977354 | − | 0.211610i | \(-0.932129\pi\) |
0.867911 | + | 0.496720i | \(0.165463\pi\) | |||||||
\(354\) | −0.0796126 | − | 0.178813i | −0.00423136 | − | 0.00950380i | ||||
\(355\) | −21.5365 | + | 17.0830i | −1.14304 | + | 0.906674i | ||||
\(356\) | −5.51894 | − | 7.59616i | −0.292503 | − | 0.402596i | ||||
\(357\) | −15.2191 | + | 25.4088i | −0.805478 | + | 1.34478i | ||||
\(358\) | 39.1300 | + | 6.19758i | 2.06808 | + | 0.327552i | ||||
\(359\) | 8.46107 | + | 7.61838i | 0.446558 | + | 0.402083i | 0.861494 | − | 0.507768i | \(-0.169529\pi\) |
−0.414936 | + | 0.909851i | \(0.636196\pi\) | |||||||
\(360\) | −11.2308 | + | 4.86510i | −0.591917 | + | 0.256413i | ||||
\(361\) | −9.10782 | − | 10.1153i | −0.479359 | − | 0.532382i | ||||
\(362\) | 26.5211 | − | 1.38991i | 1.39392 | − | 0.0730522i | ||||
\(363\) | −12.2540 | − | 6.24371i | −0.643167 | − | 0.327710i | ||||
\(364\) | −50.1173 | + | 24.5303i | −2.62686 | + | 1.28573i | ||||
\(365\) | 2.00144 | − | 5.95469i | 0.104760 | − | 0.311683i | ||||
\(366\) | 23.6788 | − | 26.2979i | 1.23771 | − | 1.37461i | ||||
\(367\) | −9.02150 | + | 11.1406i | −0.470919 | + | 0.581536i | −0.956160 | − | 0.292844i | \(-0.905398\pi\) |
0.485242 | + | 0.874380i | \(0.338732\pi\) | |||||||
\(368\) | 9.32784 | − | 2.49939i | 0.486248 | − | 0.130290i | ||||
\(369\) | −9.90566 | − | 4.41029i | −0.515668 | − | 0.229590i | ||||
\(370\) | −1.57724 | + | 1.54573i | −0.0819971 | + | 0.0803588i | ||||
\(371\) | 1.50904 | + | 10.6300i | 0.0783457 | + | 0.551882i | ||||
\(372\) | 55.8974 | − | 8.85327i | 2.89814 | − | 0.459021i | ||||
\(373\) | 21.1887 | + | 13.7601i | 1.09711 | + | 0.712471i | 0.960535 | − | 0.278159i | \(-0.0897242\pi\) |
0.136574 | + | 0.990630i | \(0.456391\pi\) | |||||||
\(374\) | −13.7517 | + | 23.8187i | −0.711085 | + | 1.23164i | ||||
\(375\) | −8.66337 | − | 21.1597i | −0.447375 | − | 1.09268i | ||||
\(376\) | 10.7421 | − | 6.20197i | 0.553983 | − | 0.319842i | ||||
\(377\) | −30.7280 | + | 15.6567i | −1.58257 | + | 0.806360i | ||||
\(378\) | 21.9871 | − | 9.36913i | 1.13090 | − | 0.481896i | ||||
\(379\) | −16.0800 | + | 22.1322i | −0.825974 | + | 1.13686i | 0.162685 | + | 0.986678i | \(0.447985\pi\) |
−0.988659 | + | 0.150178i | \(0.952015\pi\) | |||||||
\(380\) | 19.5258 | + | 5.44366i | 1.00165 | + | 0.279254i | ||||
\(381\) | 0.233856 | − | 0.0245793i | 0.0119808 | − | 0.00125923i | ||||
\(382\) | 16.6314 | + | 62.0693i | 0.850937 | + | 3.17574i | ||||
\(383\) | −4.88590 | + | 1.87552i | −0.249658 | + | 0.0958346i | −0.479979 | − | 0.877280i | \(-0.659356\pi\) |
0.230321 | + | 0.973115i | \(0.426022\pi\) | |||||||
\(384\) | 12.7865 | + | 39.3528i | 0.652509 | + | 2.00821i | ||||
\(385\) | −10.0811 | − | 6.92810i | −0.513779 | − | 0.353089i | ||||
\(386\) | 9.65545 | − | 29.7164i | 0.491449 | − | 1.51253i | ||||
\(387\) | 0.343629 | + | 6.55684i | 0.0174677 | + | 0.333303i | ||||
\(388\) | −54.5974 | + | 35.4560i | −2.77176 | + | 1.80000i | ||||
\(389\) | 12.4940 | − | 11.2497i | 0.633472 | − | 0.570381i | −0.288576 | − | 0.957457i | \(-0.593182\pi\) |
0.922048 | + | 0.387077i | \(0.126515\pi\) | |||||||
\(390\) | −59.6173 | − | 6.87490i | −3.01884 | − | 0.348124i | ||||
\(391\) | 14.6143 | − | 4.74848i | 0.739078 | − | 0.240141i | ||||
\(392\) | 21.1933 | − | 24.5176i | 1.07042 | − | 1.23833i | ||||
\(393\) | −6.51852 | − | 6.51852i | −0.328816 | − | 0.328816i | ||||
\(394\) | −12.6719 | + | 28.4615i | −0.638399 | + | 1.43387i | ||||
\(395\) | 6.58496 | − | 16.6503i | 0.331325 | − | 0.837766i | ||||
\(396\) | −8.72089 | + | 3.88279i | −0.438241 | + | 0.195118i | ||||
\(397\) | 8.81982 | − | 7.14215i | 0.442654 | − | 0.358454i | −0.381932 | − | 0.924190i | \(-0.624741\pi\) |
0.824586 | + | 0.565736i | \(0.191408\pi\) | |||||||
\(398\) | 1.80224 | + | 3.53709i | 0.0903380 | + | 0.177298i | ||||
\(399\) | 12.0783 | + | 3.44521i | 0.604673 | + | 0.172476i | ||||
\(400\) | 16.4624 | − | 4.98400i | 0.823119 | − | 0.249200i | ||||
\(401\) | −4.66262 | − | 8.07589i | −0.232840 | − | 0.403291i | 0.725803 | − | 0.687903i | \(-0.241469\pi\) |
−0.958643 | + | 0.284612i | \(0.908135\pi\) | |||||||
\(402\) | 2.29617 | − | 43.8135i | 0.114522 | − | 2.18522i | ||||
\(403\) | 35.7280 | + | 13.7147i | 1.77974 | + | 0.683178i | ||||
\(404\) | 1.27324 | − | 12.1140i | 0.0633459 | − | 0.602696i | ||||
\(405\) | 24.5825 | + | 4.14817i | 1.22151 | + | 0.206124i | ||||
\(406\) | 26.3470 | − | 31.4881i | 1.30758 | − | 1.56273i | ||||
\(407\) | −0.594196 | + | 0.594196i | −0.0294532 | + | 0.0294532i | ||||
\(408\) | −18.5733 | − | 48.3851i | −0.919514 | − | 2.39542i | ||||
\(409\) | 25.5434 | + | 5.42943i | 1.26304 | + | 0.268468i | 0.790293 | − | 0.612729i | \(-0.209928\pi\) |
0.472749 | + | 0.881197i | \(0.343262\pi\) | |||||||
\(410\) | 42.9048 | + | 25.3517i | 2.11892 | + | 1.25203i | ||||
\(411\) | −6.28353 | − | 29.5617i | −0.309944 | − | 1.45817i | ||||
\(412\) | −19.6841 | + | 38.6321i | −0.969764 | + | 1.90327i | ||||
\(413\) | 0.0306057 | + | 0.0996106i | 0.00150601 | + | 0.00490152i | ||||
\(414\) | 7.67033 | + | 2.49224i | 0.376976 | + | 0.122487i | ||||
\(415\) | −18.8070 | − | 8.60185i | −0.923201 | − | 0.422248i | ||||
\(416\) | −1.01036 | + | 4.75339i | −0.0495372 | + | 0.233054i | ||||
\(417\) | −33.6207 | − | 27.2255i | −1.64641 | − | 1.33324i | ||||
\(418\) | 11.2659 | + | 3.01870i | 0.551035 | + | 0.147649i | ||||
\(419\) | 17.0065 | − | 12.3559i | 0.830820 | − | 0.603626i | −0.0889711 | − | 0.996034i | \(-0.528358\pi\) |
0.919791 | + | 0.392408i | \(0.128358\pi\) | |||||||
\(420\) | 45.3017 | − | 13.4204i | 2.21050 | − | 0.654848i | ||||
\(421\) | 8.22355 | + | 5.97476i | 0.400791 | + | 0.291192i | 0.769863 | − | 0.638209i | \(-0.220324\pi\) |
−0.369072 | + | 0.929401i | \(0.620324\pi\) | |||||||
\(422\) | 6.83557 | + | 8.44122i | 0.332750 | + | 0.410912i | ||||
\(423\) | 3.16324 | + | 0.165778i | 0.153802 | + | 0.00806042i | ||||
\(424\) | −16.2704 | − | 9.39375i | −0.790163 | − | 0.456201i | ||||
\(425\) | 25.7446 | − | 9.29083i | 1.24880 | − | 0.450671i | ||||
\(426\) | − | 61.0941i | − | 2.96002i | ||||||
\(427\) | −14.2013 | + | 12.3797i | −0.687248 | + | 0.599098i | ||||
\(428\) | 3.35788 | + | 21.2008i | 0.162309 | + | 1.02478i | ||||
\(429\) | −22.7103 | − | 2.38695i | −1.09647 | − | 0.115243i | ||||
\(430\) | 1.88332 | − | 30.1179i | 0.0908215 | − | 1.45241i | ||||
\(431\) | 1.18964 | + | 11.3186i | 0.0573027 | + | 0.545199i | 0.985084 | + | 0.172074i | \(0.0550469\pi\) |
−0.927781 | + | 0.373125i | \(0.878286\pi\) | |||||||
\(432\) | −3.30976 | + | 12.3522i | −0.159241 | + | 0.594294i | ||||
\(433\) | 1.69255 | − | 10.6864i | 0.0813389 | − | 0.513553i | −0.913057 | − | 0.407832i | \(-0.866285\pi\) |
0.994396 | − | 0.105721i | \(-0.0337151\pi\) | |||||||
\(434\) | −45.5306 | + | 1.65344i | −2.18554 | + | 0.0793675i | ||||
\(435\) | 27.8623 | − | 8.74320i | 1.33590 | − | 0.419204i | ||||
\(436\) | 40.3006 | − | 8.56616i | 1.93005 | − | 0.410245i | ||||
\(437\) | −3.54909 | − | 5.46512i | −0.169776 | − | 0.261432i | ||||
\(438\) | 7.60410 | + | 11.7093i | 0.363338 | + | 0.559492i | ||||
\(439\) | −5.62340 | + | 1.19529i | −0.268390 | + | 0.0570482i | −0.340141 | − | 0.940374i | \(-0.610475\pi\) |
0.0717505 | + | 0.997423i | \(0.477141\pi\) | |||||||
\(440\) | 20.4227 | − | 6.40865i | 0.973614 | − | 0.305520i | ||||
\(441\) | 7.94897 | − | 2.30330i | 0.378522 | − | 0.109681i | ||||
\(442\) | 11.2378 | − | 70.9529i | 0.534529 | − | 3.37488i | ||||
\(443\) | −6.90746 | + | 25.7790i | −0.328183 | + | 1.22480i | 0.582889 | + | 0.812552i | \(0.301922\pi\) |
−0.911073 | + | 0.412246i | \(0.864745\pi\) | |||||||
\(444\) | −0.339278 | − | 3.22802i | −0.0161014 | − | 0.153195i | ||||
\(445\) | −0.335531 | + | 5.36579i | −0.0159057 | + | 0.254363i | ||||
\(446\) | −44.0323 | − | 4.62798i | −2.08499 | − | 0.219141i | ||||
\(447\) | −2.24773 | − | 14.1916i | −0.106314 | − | 0.671240i | ||||
\(448\) | −4.61000 | − | 23.5413i | −0.217802 | − | 1.11222i | ||||
\(449\) | − | 36.5758i | − | 1.72612i | −0.505103 | − | 0.863059i | \(-0.668546\pi\) | ||
0.505103 | − | 0.863059i | \(-0.331454\pi\) | |||||||
\(450\) | 13.7977 | + | 3.99718i | 0.650430 | + | 0.188429i | ||||
\(451\) | 16.4223 | + | 9.48143i | 0.773297 | + | 0.446463i | ||||
\(452\) | −24.4651 | − | 1.28216i | −1.15074 | − | 0.0603079i | ||||
\(453\) | 25.2135 | + | 31.1360i | 1.18463 | + | 1.46290i | ||||
\(454\) | −21.7016 | − | 15.7671i | −1.01851 | − | 0.739989i | ||||
\(455\) | 31.0671 | + | 7.45762i | 1.45645 | + | 0.349619i | ||||
\(456\) | −17.7809 | + | 12.9186i | −0.832665 | + | 0.604967i | ||||
\(457\) | −18.6017 | − | 4.98432i | −0.870152 | − | 0.233157i | −0.203999 | − | 0.978971i | \(-0.565394\pi\) |
−0.666154 | + | 0.745815i | \(0.732060\pi\) | |||||||
\(458\) | −37.6471 | − | 30.4860i | −1.75913 | − | 1.42452i | ||||
\(459\) | −4.23071 | + | 19.9039i | −0.197473 | + | 0.929037i | ||||
\(460\) | −22.2920 | − | 10.1958i | −1.03937 | − | 0.475382i | ||||
\(461\) | 1.32261 | + | 0.429741i | 0.0615999 | + | 0.0200150i | 0.339655 | − | 0.940550i | \(-0.389690\pi\) |
−0.278055 | + | 0.960565i | \(0.589690\pi\) | |||||||
\(462\) | 25.9868 | − | 7.98455i | 1.20902 | − | 0.371475i | ||||
\(463\) | 0.899035 | − | 1.76446i | 0.0417817 | − | 0.0820012i | −0.869172 | − | 0.494510i | \(-0.835347\pi\) |
0.910954 | + | 0.412509i | \(0.135347\pi\) | |||||||
\(464\) | 4.56736 | + | 21.4877i | 0.212034 | + | 0.997542i | ||||
\(465\) | −27.8989 | − | 16.4850i | −1.29378 | − | 0.764473i | ||||
\(466\) | 11.1448 | + | 2.36889i | 0.516271 | + | 0.109737i | ||||
\(467\) | 10.5108 | + | 27.3815i | 0.486380 | + | 1.26706i | 0.928908 | + | 0.370309i | \(0.120748\pi\) |
−0.442528 | + | 0.896755i | \(0.645918\pi\) | |||||||
\(468\) | 17.6311 | − | 17.6311i | 0.814996 | − | 0.814996i | ||||
\(469\) | −4.02399 | + | 23.0084i | −0.185810 | + | 1.06243i | ||||
\(470\) | −14.3553 | − | 2.42238i | −0.662161 | − | 0.111736i | ||||
\(471\) | −0.385370 | + | 3.66655i | −0.0177569 | + | 0.168946i | ||||
\(472\) | −0.170235 | − | 0.0653472i | −0.00783571 | − | 0.00300785i | ||||
\(473\) | 0.600953 | − | 11.4669i | 0.0276319 | − | 0.527247i | ||||
\(474\) | 19.8969 | + | 34.4624i | 0.913895 | + | 1.58291i | ||||
\(475\) | −6.63134 | − | 9.52573i | −0.304267 | − | 0.437070i | ||||
\(476\) | 13.7589 | + | 54.8585i | 0.630639 | + | 2.51443i | ||||
\(477\) | −2.17813 | − | 4.27482i | −0.0997296 | − | 0.195730i | ||||
\(478\) | 30.4183 | − | 24.6322i | 1.39130 | − | 1.12665i | ||||
\(479\) | −3.63062 | + | 1.61646i | −0.165887 | + | 0.0738578i | −0.488000 | − | 0.872843i | \(-0.662274\pi\) |
0.322113 | + | 0.946701i | \(0.395607\pi\) | |||||||
\(480\) | 1.51333 | − | 3.82650i | 0.0690738 | − | 0.174655i | ||||
\(481\) | 0.892731 | − | 2.00511i | 0.0407050 | − | 0.0914250i | ||||
\(482\) | −23.5071 | − | 23.5071i | −1.07072 | − | 1.07072i | ||||
\(483\) | −13.7748 | − | 6.39995i | −0.626774 | − | 0.291208i | ||||
\(484\) | −24.9768 | + | 8.11545i | −1.13531 | + | 0.368884i | ||||
\(485\) | 37.0302 | + | 4.27022i | 1.68146 | + | 0.193901i | ||||
\(486\) | −21.0357 | + | 18.9407i | −0.954201 | + | 0.859166i | ||||
\(487\) | 4.94640 | − | 3.21223i | 0.224143 | − | 0.145560i | −0.427683 | − | 0.903929i | \(-0.640670\pi\) |
0.651826 | + | 0.758369i | \(0.274003\pi\) | |||||||
\(488\) | −1.72535 | − | 32.9217i | −0.0781030 | − | 1.49029i | ||||
\(489\) | −0.829272 | + | 2.55224i | −0.0375010 | + | 0.115416i | ||||
\(490\) | −37.5058 | + | 6.33112i | −1.69434 | + | 0.286011i | ||||
\(491\) | −0.371409 | − | 1.14308i | −0.0167615 | − | 0.0515864i | 0.942326 | − | 0.334697i | \(-0.108634\pi\) |
−0.959087 | + | 0.283110i | \(0.908634\pi\) | |||||||
\(492\) | −68.3806 | + | 26.2488i | −3.08283 | + | 1.18339i | ||||
\(493\) | 9.04726 | + | 33.7648i | 0.407468 | + | 1.52069i | ||||
\(494\) | −30.2971 | + | 3.18435i | −1.36313 | + | 0.143271i | ||||
\(495\) | 5.26527 | + | 1.46792i | 0.236656 | + | 0.0659783i | ||||
\(496\) | 14.3288 | − | 19.7219i | 0.643381 | − | 0.885537i | ||||
\(497\) | −3.91892 | + | 32.2886i | −0.175788 | + | 1.44834i | ||||
\(498\) | 40.9531 | − | 20.8666i | 1.83515 | − | 0.935057i | ||||
\(499\) | −13.6136 | + | 7.85984i | −0.609430 | + | 0.351855i | −0.772742 | − | 0.634720i | \(-0.781116\pi\) |
0.163312 | + | 0.986574i | \(0.447782\pi\) | |||||||
\(500\) | −40.2690 | − | 16.8733i | −1.80089 | − | 0.754597i | ||||
\(501\) | −0.199780 | + | 0.346029i | −0.00892551 | + | 0.0154594i | ||||
\(502\) | −0.0108804 | − | 0.00706584i | −0.000485618 | − | 0.000315364i | ||||
\(503\) | 21.0385 | − | 3.33217i | 0.938061 | − | 0.148574i | 0.331360 | − | 0.943504i | \(-0.392493\pi\) |
0.606701 | + | 0.794930i | \(0.292493\pi\) | |||||||
\(504\) | −5.40626 | + | 13.4348i | −0.240814 | + | 0.598433i | ||||
\(505\) | −4.98129 | + | 4.88177i | −0.221665 | + | 0.217236i | ||||
\(506\) | −12.8851 | − | 5.73682i | −0.572813 | − | 0.255033i | ||||
\(507\) | 31.9325 | − | 8.55628i | 1.41817 | − | 0.379998i | ||||
\(508\) | 0.282579 | − | 0.348956i | 0.0125374 | − | 0.0154824i | ||||
\(509\) | 24.4987 | − | 27.2086i | 1.08589 | − | 1.20600i | 0.108598 | − | 0.994086i | \(-0.465364\pi\) |
0.977288 | − | 0.211913i | \(-0.0679694\pi\) | |||||||
\(510\) | −19.3799 | + | 57.6590i | −0.858156 | + | 2.55318i | ||||
\(511\) | −3.26772 | − | 6.67621i | −0.144555 | − | 0.295338i | ||||
\(512\) | 31.1392 | + | 15.8662i | 1.37617 | + | 0.701194i | ||||
\(513\) | 8.61737 | − | 0.451617i | 0.380466 | − | 0.0199394i | ||||
\(514\) | 17.3278 | + | 19.2445i | 0.764297 | + | 0.848838i | ||||
\(515\) | 22.7807 | − | 9.86841i | 1.00384 | − | 0.434854i | ||||
\(516\) | 32.9603 | + | 29.6776i | 1.45100 | + | 1.30648i | ||||
\(517\) | −5.47139 | − | 0.866584i | −0.240632 | − | 0.0381123i | ||||
\(518\) | −0.0419656 | + | 2.61267i | −0.00184386 | + | 0.114794i | ||||
\(519\) | 5.49345 | + | 7.56109i | 0.241136 | + | 0.331895i | ||||
\(520\) | −43.8011 | + | 34.7435i | −1.92080 | + | 1.52360i | ||||
\(521\) | −8.84641 | − | 19.8694i | −0.387568 | − | 0.870492i | −0.996981 | − | 0.0776396i | \(-0.975262\pi\) |
0.609413 | − | 0.792853i | \(-0.291405\pi\) | |||||||
\(522\) | −6.57484 | + | 17.1281i | −0.287773 | + | 0.749675i | ||||
\(523\) | −4.66763 | + | 7.18752i | −0.204101 | + | 0.314288i | −0.925867 | − | 0.377849i | \(-0.876664\pi\) |
0.721766 | + | 0.692137i | \(0.243331\pi\) | |||||||
\(524\) | −17.6035 | −0.769012 | ||||||||
\(525\) | −24.8889 | − | 10.6039i | −1.08624 | − | 0.462793i | ||||
\(526\) | −5.02799 | −0.219231 | ||||||||
\(527\) | 21.1268 | − | 32.5324i | 0.920298 | − | 1.41713i | ||||
\(528\) | −5.21281 | + | 13.5798i | −0.226858 | + | 0.590986i | ||||
\(529\) | −6.14973 | − | 13.8125i | −0.267380 | − | 0.600545i | ||||
\(530\) | 7.69407 | + | 20.6646i | 0.334209 | + | 0.897613i | ||||
\(531\) | −0.0273706 | − | 0.0376724i | −0.00118778 | − | 0.00163484i | ||||
\(532\) | 20.9609 | − | 11.6570i | 0.908771 | − | 0.505395i | ||||
\(533\) | −48.9200 | − | 7.74816i | −2.11896 | − | 0.335610i | ||||
\(534\) | −8.87958 | − | 7.99521i | −0.384257 | − | 0.345986i | ||||
\(535\) | 6.25244 | − | 10.5815i | 0.270317 | − | 0.457479i | ||||
\(536\) | −27.3491 | − | 30.3743i | −1.18130 | − | 1.31197i | ||||
\(537\) | 33.2954 | − | 1.74494i | 1.43680 | − | 0.0752996i | ||||
\(538\) | −7.49757 | − | 3.82020i | −0.323243 | − | 0.164701i | ||||
\(539\) | −14.2464 | + | 2.55295i | −0.613635 | + | 0.109963i | ||||
\(540\) | 26.4525 | − | 18.8140i | 1.13834 | − | 0.809628i | ||||
\(541\) | −20.4379 | + | 22.6986i | −0.878694 | + | 0.975888i | −0.999860 | − | 0.0167441i | \(-0.994670\pi\) |
0.121166 | + | 0.992632i | \(0.461337\pi\) | |||||||
\(542\) | −4.99914 | + | 6.17343i | −0.214732 | + | 0.265171i | ||||
\(543\) | 21.5884 | − | 5.78460i | 0.926448 | − | 0.248241i | ||||
\(544\) | 4.49984 | + | 2.00346i | 0.192929 | + | 0.0858976i | ||||
\(545\) | −20.9108 | − | 10.9218i | −0.895722 | − | 0.467837i | ||||
\(546\) | −55.8938 | + | 43.7945i | −2.39203 | + | 1.87423i | ||||
\(547\) | 24.3901 | − | 3.86301i | 1.04285 | − | 0.165171i | 0.388564 | − | 0.921422i | \(-0.372971\pi\) |
0.654281 | + | 0.756251i | \(0.272971\pi\) | |||||||
\(548\) | −48.4006 | − | 31.4317i | −2.06757 | − | 1.34270i | ||||
\(549\) | 4.20935 | − | 7.29081i | 0.179651 | − | 0.311164i | ||||
\(550\) | −23.2671 | − | 9.47441i | −0.992112 | − | 0.403990i | ||||
\(551\) | 12.8377 | − | 7.41185i | 0.546905 | − | 0.315756i | ||||
\(552\) | 23.6816 | − | 12.0664i | 1.00796 | − | 0.513579i | ||||
\(553\) | −8.30503 | − | 19.4899i | −0.353166 | − | 0.828796i | ||||
\(554\) | −46.6996 | + | 64.2766i | −1.98408 | + | 2.73085i | ||||
\(555\) | −1.02790 | + | 1.54839i | −0.0436317 | + | 0.0657254i | ||||
\(556\) | −82.1585 | + | 8.63520i | −3.48429 | + | 0.366214i | ||||
\(557\) | −2.90126 | − | 10.8276i | −0.122930 | − | 0.458782i | 0.876827 | − | 0.480806i | \(-0.159656\pi\) |
−0.999757 | + | 0.0220239i | \(0.992989\pi\) | |||||||
\(558\) | 19.0069 | − | 7.29608i | 0.804628 | − | 0.308868i | ||||
\(559\) | 9.26799 | + | 28.5239i | 0.391994 | + | 1.20643i | ||||
\(560\) | 9.71046 | − | 17.8857i | 0.410342 | − | 0.755808i | ||||
\(561\) | −7.15253 | + | 22.0132i | −0.301980 | + | 0.929400i | ||||
\(562\) | 2.37184 | + | 45.2574i | 0.100050 | + | 1.90907i | ||||
\(563\) | −30.6178 | + | 19.8834i | −1.29038 | + | 0.837985i | −0.993153 | − | 0.116820i | \(-0.962730\pi\) |
−0.297231 | + | 0.954806i | \(0.596063\pi\) | |||||||
\(564\) | 15.9012 | − | 14.3175i | 0.669559 | − | 0.602874i | ||||
\(565\) | 10.3294 | + | 9.49109i | 0.434561 | + | 0.399293i | ||||
\(566\) | 53.1710 | − | 17.2763i | 2.23494 | − | 0.726178i | ||||
\(567\) | 24.1395 | − | 16.9528i | 1.01376 | − | 0.711949i | ||||
\(568\) | −40.2451 | − | 40.2451i | −1.68865 | − | 1.68865i | ||||
\(569\) | 0.876630 | − | 1.96894i | 0.0367502 | − | 0.0825424i | −0.894238 | − | 0.447593i | \(-0.852282\pi\) |
0.930988 | + | 0.365050i | \(0.118948\pi\) | |||||||
\(570\) | 25.7453 | + | 1.60989i | 1.07835 | + | 0.0674308i | ||||
\(571\) | 13.7724 | − | 6.13185i | 0.576355 | − | 0.256610i | −0.0977920 | − | 0.995207i | \(-0.531178\pi\) |
0.674147 | + | 0.738597i | \(0.264511\pi\) | |||||||
\(572\) | −33.8880 | + | 27.4420i | −1.41693 | + | 1.14741i | ||||
\(573\) | 24.5510 | + | 48.1841i | 1.02563 | + | 2.01292i | ||||
\(574\) | 57.1942 | − | 14.3447i | 2.38724 | − | 0.598737i | ||||
\(575\) | 6.11852 | + | 12.6322i | 0.255160 | + | 0.526797i | ||||
\(576\) | 5.35973 | + | 9.28333i | 0.223322 | + | 0.386805i | ||||
\(577\) | 0.315347 | − | 6.01718i | 0.0131281 | − | 0.250498i | −0.984180 | − | 0.177172i | \(-0.943305\pi\) |
0.997308 | − | 0.0733265i | \(-0.0233615\pi\) | |||||||
\(578\) | −29.4112 | − | 11.2899i | −1.22334 | − | 0.469597i | ||||
\(579\) | 2.74862 | − | 26.1514i | 0.114229 | − | 1.08681i | ||||
\(580\) | 25.8159 | − | 49.4272i | 1.07195 | − | 2.05235i | ||||
\(581\) | −22.9825 | + | 8.40120i | −0.953474 | + | 0.348540i | ||||
\(582\) | −58.5798 | + | 58.5798i | −2.42821 | + | 2.42821i | ||||
\(583\) | 3.00688 | + | 7.83319i | 0.124532 | + | 0.324418i | ||||
\(584\) | 12.7225 | + | 2.70425i | 0.526461 | + | 0.111903i | ||||
\(585\) | −14.2131 | + | 1.34901i | −0.587641 | + | 0.0557748i | ||||
\(586\) | 4.54581 | + | 21.3864i | 0.187786 | + | 0.883463i | ||||
\(587\) | 12.1632 | − | 23.8716i | 0.502028 | − | 0.985284i | −0.491412 | − | 0.870927i | \(-0.663519\pi\) |
0.993440 | − | 0.114357i | \(-0.0364809\pi\) | |||||||
\(588\) | 26.9667 | − | 48.9703i | 1.11209 | − | 2.01950i | ||||
\(589\) | −15.6447 | − | 5.08327i | −0.644629 | − | 0.209453i | ||||
\(590\) | 0.105133 | + | 0.186414i | 0.00432824 | + | 0.00767454i | ||||
\(591\) | −5.45125 | + | 25.6461i | −0.224234 | + | 1.05494i | ||||
\(592\) | −1.08653 | − | 0.879857i | −0.0446562 | − | 0.0361619i | ||||
\(593\) | −28.1011 | − | 7.52966i | −1.15397 | − | 0.309206i | −0.369416 | − | 0.929264i | \(-0.620442\pi\) |
−0.784556 | + | 0.620058i | \(0.787109\pi\) | |||||||
\(594\) | 15.1105 | − | 10.9784i | 0.619990 | − | 0.450449i | ||||
\(595\) | 13.9410 | − | 29.2300i | 0.571524 | − | 1.19831i | ||||
\(596\) | −22.1975 | − | 16.1274i | −0.909245 | − | 0.660605i | ||||
\(597\) | 2.10246 | + | 2.59632i | 0.0860478 | + | 0.106260i | ||||
\(598\) | 36.7896 | + | 1.92806i | 1.50444 | + | 0.0788443i | ||||
\(599\) | −16.2419 | − | 9.37728i | −0.663627 | − | 0.383145i | 0.130031 | − | 0.991510i | \(-0.458492\pi\) |
−0.793658 | + | 0.608365i | \(0.791826\pi\) | |||||||
\(600\) | 41.4670 | − | 22.8379i | 1.69288 | − | 0.932353i | ||||
\(601\) | − | 1.56485i | − | 0.0638318i | −0.999491 | − | 0.0319159i | \(-0.989839\pi\) | ||
0.999491 | − | 0.0319159i | \(-0.0101609\pi\) | |||||||
\(602\) | −23.4625 | − | 26.9147i | −0.956258 | − | 1.09696i | ||||
\(603\) | −1.63280 | − | 10.3091i | −0.0664927 | − | 0.419819i | ||||
\(604\) | 76.0868 | + | 7.99705i | 3.09593 | + | 0.325395i | ||||
\(605\) | 13.9836 | + | 5.53032i | 0.568514 | + | 0.224840i | ||||
\(606\) | −1.62028 | − | 15.4160i | −0.0658195 | − | 0.626231i | ||||
\(607\) | −0.920280 | + | 3.43453i | −0.0373530 | + | 0.139403i | −0.982084 | − | 0.188443i | \(-0.939656\pi\) |
0.944731 | + | 0.327846i | \(0.106323\pi\) | |||||||
\(608\) | 0.326765 | − | 2.06311i | 0.0132521 | − | 0.0836703i | ||||
\(609\) | 16.1788 | − | 30.5303i | 0.655597 | − | 1.23715i | ||||
\(610\) | −23.0576 | + | 31.0718i | −0.933574 | + | 1.25806i | ||||
\(611\) | 14.1529 | − | 3.00829i | 0.572564 | − | 0.121702i | ||||
\(612\) | −13.7648 | − | 21.1960i | −0.556410 | − | 0.856796i | ||||
\(613\) | −0.503001 | − | 0.774554i | −0.0203160 | − | 0.0312839i | 0.828367 | − | 0.560186i | \(-0.189270\pi\) |
−0.848683 | + | 0.528902i | \(0.822604\pi\) | |||||||
\(614\) | 63.1214 | − | 13.4169i | 2.54737 | − | 0.541461i | ||||
\(615\) | 39.7542 | + | 13.3619i | 1.60304 | + | 0.538803i | ||||
\(616\) | 11.8588 | − | 22.3783i | 0.477805 | − | 0.901647i | ||||
\(617\) | −6.94866 | + | 43.8721i | −0.279743 | + | 1.76622i | 0.302442 | + | 0.953168i | \(0.402198\pi\) |
−0.582184 | + | 0.813057i | \(0.697802\pi\) | |||||||
\(618\) | −14.2806 | + | 53.2959i | −0.574450 | + | 2.14388i | ||||
\(619\) | −0.500353 | − | 4.76054i | −0.0201109 | − | 0.191342i | 0.979854 | − | 0.199715i | \(-0.0640016\pi\) |
−0.999965 | + | 0.00837259i | \(0.997335\pi\) | |||||||
\(620\) | −59.9300 | + | 15.4118i | −2.40685 | + | 0.618953i | ||||
\(621\) | −10.3781 | − | 1.09079i | −0.416461 | − | 0.0437718i | ||||
\(622\) | 0.402296 | + | 2.54000i | 0.0161306 | + | 0.101845i | ||||
\(623\) | 4.18006 | + | 4.79511i | 0.167471 | + | 0.192112i | ||||
\(624\) | − | 37.9931i | − | 1.52094i | ||||||
\(625\) | 11.6162 | + | 22.1374i | 0.464648 | + | 0.885495i | ||||
\(626\) | 39.7538 | + | 22.9519i | 1.58888 | + | 0.917342i | ||||
\(627\) | 9.80207 | + | 0.513705i | 0.391457 | + | 0.0205154i | ||||
\(628\) | 4.43046 | + | 5.47117i | 0.176795 | + | 0.218323i | ||||
\(629\) | −1.79984 | − | 1.30766i | −0.0717642 | − | 0.0521397i | ||||
\(630\) | 14.9370 | − | 8.11066i | 0.595103 | − | 0.323136i | ||||
\(631\) | 6.66704 | − | 4.84388i | 0.265410 | − | 0.192832i | −0.447118 | − | 0.894475i | \(-0.647550\pi\) |
0.712529 | + | 0.701643i | \(0.247550\pi\) | |||||||
\(632\) | 35.8087 | + | 9.59490i | 1.42439 | + | 0.381665i | ||||
\(633\) | 7.10387 | + | 5.75260i | 0.282354 | + | 0.228645i | ||||
\(634\) | 14.5952 | − | 68.6649i | 0.579649 | − | 2.72703i | ||||
\(635\) | −0.252015 | + | 0.0509151i | −0.0100009 | + | 0.00202051i | ||||
\(636\) | −30.8227 | − | 10.0149i | −1.22220 | − | 0.397117i | ||||
\(637\) | 32.3495 | − | 19.5603i | 1.28173 | − | 0.775009i | ||||
\(638\) | 14.5664 | − | 28.5882i | 0.576691 | − | 1.13182i | ||||
\(639\) | −3.02186 | − | 14.2168i | −0.119543 | − | 0.562406i | ||||
\(640\) | −17.9839 | − | 41.5148i | −0.710875 | − | 1.64102i | ||||
\(641\) | 38.2969 | + | 8.14027i | 1.51264 | + | 0.321521i | 0.888165 | − | 0.459525i | \(-0.151980\pi\) |
0.624473 | + | 0.781046i | \(0.285314\pi\) | |||||||
\(642\) | 9.78913 | + | 25.5015i | 0.386346 | + | 1.00647i | ||||
\(643\) | −27.4043 | + | 27.4043i | −1.08072 | + | 1.08072i | −0.0842787 | + | 0.996442i | \(0.526859\pi\) |
−0.996442 | + | 0.0842787i | \(0.973141\pi\) | |||||||
\(644\) | −27.2412 | + | 9.95797i | −1.07345 | + | 0.392399i | ||||
\(645\) | −3.71948 | − | 25.1219i | −0.146455 | − | 0.989175i | ||||
\(646\) | −3.22767 | + | 30.7092i | −0.126991 | + | 1.20824i | ||||
\(647\) | −17.0369 | − | 6.53985i | −0.669790 | − | 0.257108i | −0.000378066 | − | 1.00000i | \(-0.500120\pi\) |
−0.669412 | + | 0.742892i | \(0.733454\pi\) | |||||||
\(648\) | −2.70141 | + | 51.5459i | −0.106121 | + | 2.02492i | ||||
\(649\) | 0.0407179 | + | 0.0705255i | 0.00159832 | + | 0.00276837i | ||||
\(650\) | 65.6041 | + | 1.32411i | 2.57320 | + | 0.0519358i | ||||
\(651\) | −37.1905 | + | 9.32766i | −1.45761 | + | 0.365580i | ||||
\(652\) | 2.32646 | + | 4.56594i | 0.0911113 | + | 0.178816i | ||||
\(653\) | 11.9838 | − | 9.70428i | 0.468962 | − | 0.379758i | −0.365511 | − | 0.930807i | \(-0.619106\pi\) |
0.834473 | + | 0.551049i | \(0.185772\pi\) | |||||||
\(654\) | 47.8982 | − | 21.3257i | 1.87297 | − | 0.833899i | ||||
\(655\) | 7.76891 | + | 6.42201i | 0.303556 | + | 0.250929i | ||||
\(656\) | −12.8325 | + | 28.8224i | −0.501027 | + | 1.12532i | ||||
\(657\) | 2.34866 | + | 2.34866i | 0.0916301 | + | 0.0916301i | ||||
\(658\) | −14.0966 | + | 9.89981i | −0.549542 | + | 0.385935i | ||||
\(659\) | −18.2922 | + | 5.94351i | −0.712564 | + | 0.231526i | −0.642796 | − | 0.766037i | \(-0.722226\pi\) |
−0.0697679 | + | 0.997563i | \(0.522226\pi\) | |||||||
\(660\) | 32.1613 | − | 18.1381i | 1.25188 | − | 0.706026i | ||||
\(661\) | 24.8577 | − | 22.3820i | 0.966852 | − | 0.870557i | −0.0247750 | − | 0.999693i | \(-0.507887\pi\) |
0.991627 | + | 0.129136i | \(0.0412203\pi\) | |||||||
\(662\) | −3.64259 | + | 2.36552i | −0.141573 | + | 0.0919387i | ||||
\(663\) | −3.16403 | − | 60.3733i | −0.122881 | − | 2.34470i | ||||
\(664\) | 13.2318 | − | 40.7231i | 0.513491 | − | 1.58036i | ||||
\(665\) | −13.5033 | − | 2.50228i | −0.523635 | − | 0.0970344i | ||||
\(666\) | −0.360822 | − | 1.11050i | −0.0139816 | − | 0.0430308i | ||||
\(667\) | −16.7357 | + | 6.42423i | −0.648008 | + | 0.248747i | ||||
\(668\) | 0.197475 | + | 0.736988i | 0.00764055 | + | 0.0285149i | ||||
\(669\) | −37.0562 | + | 3.89476i | −1.43268 | + | 0.150580i | ||||
\(670\) | 2.02713 | + | 47.9285i | 0.0783147 | + | 1.85164i | ||||
\(671\) | −8.65394 | + | 11.9111i | −0.334082 | + | 0.459824i | ||||
\(672\) | −1.90863 | − | 4.47910i | −0.0736270 | − | 0.172785i | ||||
\(673\) | 6.40269 | − | 3.26233i | 0.246806 | − | 0.125754i | −0.326212 | − | 0.945296i | \(-0.605772\pi\) |
0.573018 | + | 0.819543i | \(0.305772\pi\) | |||||||
\(674\) | −30.5721 | + | 17.6508i | −1.17759 | + | 0.679883i | ||||
\(675\) | −18.5379 | − | 1.34711i | −0.713523 | − | 0.0518503i | ||||
\(676\) | 31.5641 | − | 54.6706i | 1.21400 | − | 2.10271i | ||||
\(677\) | −31.0822 | − | 20.1850i | −1.19458 | − | 0.775772i | −0.214962 | − | 0.976622i | \(-0.568963\pi\) |
−0.979622 | + | 0.200850i | \(0.935630\pi\) | |||||||
\(678\) | −30.7925 | + | 4.87706i | −1.18258 | + | 0.187302i | ||||
\(679\) | 34.7175 | − | 27.2022i | 1.33233 | − | 1.04392i | ||||
\(680\) | 25.2160 | + | 50.7486i | 0.966988 | + | 1.94612i | ||||
\(681\) | −20.6231 | − | 9.18201i | −0.790280 | − | 0.351855i | ||||
\(682\) | −34.3918 | + | 9.21525i | −1.31693 | + | 0.352870i | ||||
\(683\) | −5.67974 | + | 7.01390i | −0.217329 | + | 0.268379i | −0.874138 | − | 0.485678i | \(-0.838573\pi\) |
0.656808 | + | 0.754058i | \(0.271906\pi\) | |||||||
\(684\) | −7.17147 | + | 7.96473i | −0.274208 | + | 0.304539i | ||||
\(685\) | 9.89378 | + | 31.5289i | 0.378022 | + | 1.20466i | ||||
\(686\) | −26.3011 | + | 36.5202i | −1.00418 | + | 1.39435i | ||||
\(687\) | −36.3245 | − | 18.5083i | −1.38587 | − | 0.706134i | ||||
\(688\) | 19.0783 | − | 0.999854i | 0.727355 | − | 0.0381191i | ||||
\(689\) | −14.6643 | − | 16.2863i | −0.558664 | − | 0.620460i | ||||
\(690\) | −30.4459 | − | 6.79327i | −1.15906 | − | 0.258616i | ||||
\(691\) | −22.0379 | − | 19.8430i | −0.838360 | − | 0.754863i | 0.133343 | − | 0.991070i | \(-0.457429\pi\) |
−0.971703 | + | 0.236207i | \(0.924096\pi\) | |||||||
\(692\) | 17.6271 | + | 2.79186i | 0.670082 | + | 0.106131i | ||||
\(693\) | 5.65227 | − | 3.14340i | 0.214712 | − | 0.119408i | ||||
\(694\) | −6.11626 | − | 8.41831i | −0.232170 | − | 0.319555i | ||||
\(695\) | 39.4091 | + | 26.1616i | 1.49487 | + | 0.992368i | ||||
\(696\) | 24.5919 | + | 55.2343i | 0.932153 | + | 2.09365i | ||||
\(697\) | −17.9913 | + | 46.8691i | −0.681471 | + | 1.77529i | ||||
\(698\) | 12.6382 | − | 19.4611i | 0.478362 | − | 0.736613i | ||||
\(699\) | 9.58862 | 0.362675 | ||||||||
\(700\) | −47.9247 | + | 19.2885i | −1.81138 | + | 0.729035i | ||||
\(701\) | −14.4601 | −0.546149 | −0.273075 | − | 0.961993i | \(-0.588041\pi\) | ||||
−0.273075 | + | 0.961993i | \(0.588041\pi\) | |||||||
\(702\) | −26.5700 | + | 40.9142i | −1.00282 | + | 1.54421i | ||||
\(703\) | −0.338096 | + | 0.880771i | −0.0127515 | + | 0.0332189i | ||||
\(704\) | −7.62495 | − | 17.1259i | −0.287376 | − | 0.645457i | ||||
\(705\) | −12.2408 | + | 0.517724i | −0.461017 | + | 0.0194986i | ||||
\(706\) | 8.19565 | + | 11.2803i | 0.308448 | + | 0.424542i | ||||
\(707\) | −0.132537 | + | 8.25138i | −0.00498456 | + | 0.310325i | ||||
\(708\) | −0.310680 | − | 0.0492068i | −0.0116761 | − | 0.00184931i | ||||
\(709\) | −16.6248 | − | 14.9691i | −0.624358 | − | 0.562174i | 0.295049 | − | 0.955482i | \(-0.404664\pi\) |
−0.919407 | + | 0.393308i | \(0.871331\pi\) | |||||||
\(710\) | 6.31184 | + | 66.5013i | 0.236879 | + | 2.49575i | ||||
\(711\) | 6.33466 | + | 7.03535i | 0.237568 | + | 0.263846i | ||||
\(712\) | −11.1161 | + | 0.582570i | −0.416593 | + | 0.0218327i | ||||
\(713\) | 17.7246 | + | 9.03114i | 0.663792 | + | 0.338219i | ||||
\(714\) | 31.6412 | + | 64.6454i | 1.18414 | + | 2.41929i | ||||
\(715\) | 24.9670 | + | 0.251933i | 0.933712 | + | 0.00942174i | ||||
\(716\) | 42.6015 | − | 47.3138i | 1.59209 | − | 1.76820i | ||||
\(717\) | 20.7297 | − | 25.5991i | 0.774166 | − | 0.956015i | ||||
\(718\) | 26.7247 | − | 7.16085i | 0.997356 | − | 0.267241i | ||||
\(719\) | −17.3165 | − | 7.70981i | −0.645797 | − | 0.287527i | 0.0575836 | − | 0.998341i | \(-0.481660\pi\) |
−0.703381 | + | 0.710813i | \(0.748327\pi\) | |||||||
\(720\) | −1.51323 | + | 8.96755i | −0.0563947 | + | 0.334201i | ||||
\(721\) | 10.9661 | − | 27.2512i | 0.408399 | − | 1.01489i | ||||
\(722\) | −32.6693 | + | 5.17431i | −1.21583 | + | 0.192568i | ||||
\(723\) | −23.4636 | − | 15.2374i | −0.872621 | − | 0.566687i | ||||
\(724\) | 21.3394 | − | 36.9609i | 0.793071 | − | 1.37364i | ||||
\(725\) | −29.4250 | + | 12.3956i | −1.09282 | + | 0.460360i | ||||
\(726\) | −28.9430 | + | 16.7102i | −1.07417 | + | 0.620175i | ||||
\(727\) | 12.3162 | − | 6.27543i | 0.456783 | − | 0.232743i | −0.210431 | − | 0.977609i | \(-0.567487\pi\) |
0.667214 | + | 0.744866i | \(0.267487\pi\) | |||||||
\(728\) | −7.97031 | + | 65.6687i | −0.295399 | + | 2.43384i | ||||
\(729\) | 5.65765 | − | 7.78708i | 0.209543 | − | 0.288411i | ||||
\(730\) | −9.48684 | − | 11.9600i | −0.351124 | − | 0.442661i | ||||
\(731\) | 30.2333 | − | 3.17765i | 1.11822 | − | 0.117530i | ||||
\(732\) | −14.7187 | − | 54.9308i | −0.544018 | − | 2.03030i | ||||
\(733\) | 10.4918 | − | 4.02742i | 0.387523 | − | 0.148756i | −0.156803 | − | 0.987630i | \(-0.550119\pi\) |
0.544326 | + | 0.838874i | \(0.316785\pi\) | |||||||
\(734\) | 10.7648 | + | 33.1307i | 0.397336 | + | 1.22287i | ||||
\(735\) | −29.7662 | + | 11.7741i | −1.09794 | + | 0.434295i | ||||
\(736\) | −0.780585 | + | 2.40239i | −0.0287728 | + | 0.0885534i | ||||
\(737\) | 0.955325 | + | 18.2287i | 0.0351898 | + | 0.671462i | ||||
\(738\) | −22.0984 | + | 14.3509i | −0.813454 | + | 0.528263i | ||||
\(739\) | 7.29232 | − | 6.56603i | 0.268252 | − | 0.241535i | −0.524016 | − | 0.851708i | \(-0.675567\pi\) |
0.792268 | + | 0.610173i | \(0.208900\pi\) | |||||||
\(740\) | 0.702804 | + | 3.47867i | 0.0258356 | + | 0.127878i | ||||
\(741\) | −24.3827 | + | 7.92243i | −0.895722 | + | 0.291038i | ||||
\(742\) | 23.6614 | + | 10.9934i | 0.868635 | + | 0.403580i | ||||
\(743\) | −5.96596 | − | 5.96596i | −0.218870 | − | 0.218870i | 0.589152 | − | 0.808022i | \(-0.299462\pi\) |
−0.808022 | + | 0.589152i | \(0.799462\pi\) | |||||||
\(744\) | 27.2895 | − | 61.2933i | 1.00048 | − | 2.24712i | ||||
\(745\) | 3.91285 | + | 15.2154i | 0.143356 | + | 0.557451i | ||||
\(746\) | 56.0866 | − | 24.9714i | 2.05348 | − | 0.914267i | ||||
\(747\) | 8.49778 | − | 6.88136i | 0.310917 | − | 0.251776i | ||||
\(748\) | 20.0659 | + | 39.3816i | 0.733682 | + | 1.43993i | ||||
\(749\) | −3.53781 | − | 14.1057i | −0.129269 | − | 0.515410i | ||||
\(750\) | −54.5897 | − | 10.3488i | −1.99334 | − | 0.377884i | ||||
\(751\) | −9.24200 | − | 16.0076i | −0.337245 | − | 0.584126i | 0.646668 | − | 0.762771i | \(-0.276162\pi\) |
−0.983914 | + | 0.178645i | \(0.942829\pi\) | |||||||
\(752\) | 0.482363 | − | 9.20403i | 0.0175900 | − | 0.335637i | ||||
\(753\) | −0.0101929 | − | 0.00391268i | −0.000371449 | − | 0.000142586i | ||||
\(754\) | −8.75999 | + | 83.3458i | −0.319020 | + | 3.03527i | ||||
\(755\) | −30.6618 | − | 31.2869i | −1.11590 | − | 1.13865i | ||||
\(756\) | 6.61684 | − | 37.8339i | 0.240652 | − | 1.37601i | ||||
\(757\) | 16.1216 | − | 16.1216i | 0.585951 | − | 0.585951i | −0.350581 | − | 0.936532i | \(-0.614016\pi\) |
0.936532 | + | 0.350581i | \(0.114016\pi\) | |||||||
\(758\) | 23.8239 | + | 62.0634i | 0.865324 | + | 2.25424i | ||||
\(759\) | −11.6105 | − | 2.46790i | −0.421436 | − | 0.0895790i | ||||
\(760\) | 18.0199 | − | 15.8989i | 0.653652 | − | 0.576715i | ||||
\(761\) | −3.42631 | − | 16.1195i | −0.124204 | − | 0.584333i | −0.995596 | − | 0.0937459i | \(-0.970116\pi\) |
0.871392 | − | 0.490587i | \(-0.163217\pi\) | |||||||
\(762\) | 0.259416 | − | 0.509133i | 0.00939767 | − | 0.0184440i | ||||
\(763\) | −26.6825 | + | 8.19829i | −0.965971 | + | 0.296798i | ||||
\(764\) | 98.2118 | + | 31.9110i | 3.55318 | + | 1.15450i | ||||
\(765\) | −1.65780 | + | 14.3760i | −0.0599377 | + | 0.519764i | ||||
\(766\) | −2.64416 | + | 12.4398i | −0.0955375 | + | 0.449468i | ||||
\(767\) | −0.165303 | − | 0.133860i | −0.00596875 | − | 0.00483340i | ||||
\(768\) | 61.3040 | + | 16.4264i | 2.21212 | + | 0.592736i | ||||
\(769\) | −26.4586 | + | 19.2233i | −0.954122 | + | 0.693210i | −0.951778 | − | 0.306787i | \(-0.900746\pi\) |
−0.00234391 | + | 0.999997i | \(0.500746\pi\) | |||||||
\(770\) | −27.4619 | + | 11.3760i | −0.989659 | + | 0.409963i | ||||
\(771\) | 17.6312 | + | 12.8098i | 0.634970 | + | 0.461333i | ||||
\(772\) | −31.5999 | − | 39.0227i | −1.13731 | − | 1.40446i | ||||
\(773\) | −41.5856 | − | 2.17941i | −1.49573 | − | 0.0783879i | −0.713182 | − | 0.700979i | \(-0.752747\pi\) |
−0.782548 | + | 0.622591i | \(0.786080\pi\) | |||||||
\(774\) | 13.8177 | + | 7.97768i | 0.496669 | + | 0.286752i | ||||
\(775\) | 32.0712 | + | 15.0617i | 1.15203 | + | 0.541032i | ||||
\(776\) | 77.1777i | 2.77052i | ||||||||
\(777\) | 0.422599 | + | 2.15803i | 0.0151606 | + | 0.0774191i | ||||
\(778\) | −6.39113 | − | 40.3520i | −0.229133 | − | 1.44669i | ||||
\(779\) | 21.1731 | + | 2.22538i | 0.758605 | + | 0.0797326i | ||||
\(780\) | −61.4459 | + | 74.3331i | −2.20012 | + | 2.66155i | ||||
\(781\) | 2.65694 | + | 25.2790i | 0.0950726 | + | 0.904556i | ||||
\(782\) | 9.66463 | − | 36.0689i | 0.345606 | − | 1.28982i | ||||
\(783\) | 3.71352 | − | 23.4463i | 0.132711 | − | 0.837901i | ||||
\(784\) | −6.70189 | − | 23.1290i | −0.239353 | − | 0.826036i | ||||
\(785\) | 0.0406741 | − | 4.03088i | 0.00145172 | − | 0.143868i | ||||
\(786\) | −21.9122 | + | 4.65757i | −0.781581 | + | 0.166130i | ||||
\(787\) | 19.0255 | + | 29.2968i | 0.678187 | + | 1.04432i | 0.995385 | + | 0.0959572i | \(0.0305912\pi\) |
−0.317198 | + | 0.948359i | \(0.602742\pi\) | |||||||
\(788\) | 27.2684 | + | 41.9897i | 0.971398 | + | 1.49582i | ||||
\(789\) | −4.13894 | + | 0.879759i | −0.147350 | + | 0.0313202i | ||||
\(790\) | −25.2183 | − | 35.4570i | −0.897228 | − | 1.26150i | ||||
\(791\) | 16.5869 | − | 0.602351i | 0.589762 | − | 0.0214171i | ||||
\(792\) | −1.77041 | + | 11.1779i | −0.0629089 | + | 0.397191i | ||||
\(793\) | 9.95300 | − | 37.1451i | 0.353442 | − | 1.31906i | ||||
\(794\) | −2.88276 | − | 27.4276i | −0.102305 | − | 0.973369i | ||||
\(795\) | 9.94933 | + | 15.6644i | 0.352866 | + | 0.555560i | ||||
\(796\) | 6.34459 | + | 0.666844i | 0.224878 | + | 0.0236356i | ||||
\(797\) | −4.32443 | − | 27.3034i | −0.153179 | − | 0.967136i | −0.937804 | − | 0.347165i | \(-0.887144\pi\) |
0.784625 | − | 0.619971i | \(-0.212856\pi\) | |||||||
\(798\) | 23.0071 | − | 20.0561i | 0.814443 | − | 0.709978i | ||||
\(799\) | − | 14.6659i | − | 0.518842i | ||||||
\(800\) | −1.25194 | + | 4.32152i | −0.0442628 | + | 0.152789i | ||||
\(801\) | −2.46176 | − | 1.42130i | −0.0869821 | − | 0.0502192i | ||||
\(802\) | −22.6298 | − | 1.18598i | −0.799086 | − | 0.0418783i | ||||
\(803\) | −3.65560 | − | 4.51428i | −0.129003 | − | 0.159306i | ||||
\(804\) | −57.0408 | − | 41.4426i | −2.01167 | − | 1.46157i | ||||
\(805\) | 15.6551 | + | 5.54327i | 0.551771 | + | 0.195374i | ||||
\(806\) | 75.2369 | − | 54.6628i | 2.65011 | − | 1.92542i | ||||
\(807\) | −6.84027 | − | 1.83284i | −0.240789 | − | 0.0645192i | ||||
\(808\) | −11.2225 | − | 9.08777i | −0.394805 | − | 0.319707i | ||||
\(809\) | −2.50181 | + | 11.7701i | −0.0879590 | + | 0.413815i | 0.912034 | + | 0.410114i | \(0.134511\pi\) |
−0.999993 | + | 0.00370034i | \(0.998822\pi\) | |||||||
\(810\) | 40.9891 | − | 44.6095i | 1.44021 | − | 1.56742i | ||||
\(811\) | 5.66612 | + | 1.84103i | 0.198964 | + | 0.0646475i | 0.406804 | − | 0.913515i | \(-0.366643\pi\) |
−0.207840 | + | 0.978163i | \(0.566643\pi\) | |||||||
\(812\) | −19.3784 | − | 63.0697i | −0.680049 | − | 2.21331i | ||||
\(813\) | −3.03501 | + | 5.95655i | −0.106443 | + | 0.208905i | ||||
\(814\) | 0.424561 | + | 1.99740i | 0.0148808 | + | 0.0700089i | ||||
\(815\) | 0.638988 | − | 2.86380i | 0.0223828 | − | 0.100315i | ||||
\(816\) | −37.6684 | − | 8.00668i | −1.31866 | − | 0.280290i | ||||
\(817\) | −4.61994 | − | 12.0354i | −0.161631 | − | 0.421064i | ||||
\(818\) | 44.8721 | − | 44.8721i | 1.56892 | − | 1.56892i | ||||
\(819\) | −10.8405 | + | 12.9557i | −0.378796 | + | 0.452710i | ||||
\(820\) | 71.7208 | − | 35.6367i | 2.50460 | − | 1.24449i | ||||
\(821\) | −5.33078 | + | 50.7190i | −0.186045 | + | 1.77010i | 0.360582 | + | 0.932728i | \(0.382578\pi\) |
−0.546627 | + | 0.837376i | \(0.684089\pi\) | |||||||
\(822\) | −68.5635 | − | 26.3191i | −2.39143 | − | 0.917982i | ||||
\(823\) | −0.452162 | + | 8.62776i | −0.0157614 | + | 0.300745i | 0.979362 | + | 0.202112i | \(0.0647804\pi\) |
−0.995124 | + | 0.0986332i | \(0.968553\pi\) | |||||||
\(824\) | 25.7009 | + | 44.5153i | 0.895335 | + | 1.55077i | ||||
\(825\) | −20.8107 | − | 3.72805i | −0.724537 | − | 0.129794i | ||||
\(826\) | 0.243515 | + | 0.0694600i | 0.00847297 | + | 0.00241682i | ||||
\(827\) | 24.4201 | + | 47.9272i | 0.849171 | + | 1.66659i | 0.740038 | + | 0.672565i | \(0.234807\pi\) |
0.109133 | + | 0.994027i | \(0.465193\pi\) | |||||||
\(828\) | 10.0724 | − | 8.15650i | 0.350042 | − | 0.283458i | ||||
\(829\) | −34.0329 | + | 15.1524i | −1.18201 | + | 0.526266i | −0.901161 | − | 0.433485i | \(-0.857284\pi\) |
−0.280852 | + | 0.959751i | \(0.590617\pi\) | |||||||
\(830\) | −42.4219 | + | 26.9445i | −1.47249 | + | 0.935257i | ||||
\(831\) | −27.1956 | + | 61.0823i | −0.943404 | + | 2.11892i | ||||
\(832\) | 34.6235 | + | 34.6235i | 1.20035 | + | 1.20035i | ||||
\(833\) | −12.5758 | − | 36.1952i | −0.435727 | − | 1.25409i | ||||
\(834\) | −99.9830 | + | 32.4865i | −3.46213 | + | 1.12491i | ||||
\(835\) | 0.181712 | − | 0.397295i | 0.00628842 | − | 0.0137490i | ||||
\(836\) | 13.9290 | − | 12.5418i | 0.481746 | − | 0.433766i | ||||
\(837\) | −22.0927 | + | 14.3472i | −0.763636 | + | 0.495911i | ||||
\(838\) | −2.67346 | − | 51.0126i | −0.0923530 | − | 1.76220i | ||||
\(839\) | −10.5872 | + | 32.5840i | −0.365510 | + | 1.12492i | 0.584151 | + | 0.811645i | \(0.301428\pi\) |
−0.949661 | + | 0.313279i | \(0.898572\pi\) | |||||||
\(840\) | 15.9071 | − | 53.7073i | 0.548849 | − | 1.85308i | ||||
\(841\) | −3.64001 | − | 11.2028i | −0.125518 | − | 0.386304i | ||||
\(842\) | 23.0606 | − | 8.85213i | 0.794720 | − | 0.305064i | ||||
\(843\) | 9.87123 | + | 36.8399i | 0.339983 | + | 1.26883i | ||||
\(844\) | 17.3597 | − | 1.82457i | 0.597544 | − | 0.0628044i | ||||
\(845\) | −33.8747 | + | 12.6126i | −1.16533 | + | 0.433887i | ||||
\(846\) | 4.52442 | − | 6.22733i | 0.155553 | − | 0.214100i | ||||
\(847\) | 16.3685 | − | 6.97491i | 0.562427 | − | 0.239661i | ||||
\(848\) | −12.4384 | + | 6.33767i | −0.427136 | + | 0.217636i | ||||
\(849\) | 40.7464 | − | 23.5249i | 1.39841 | − | 0.807374i | ||||
\(850\) | 15.1382 | − | 64.7644i | 0.519236 | − | 2.22140i | ||||
\(851\) | 0.570448 | − | 0.988045i | 0.0195547 | − | 0.0338697i | ||||
\(852\) | −82.3408 | − | 53.4727i | −2.82095 | − | 1.83195i | ||||
\(853\) | 32.0290 | − | 5.07290i | 1.09665 | − | 0.173693i | 0.418214 | − | 0.908349i | \(-0.362656\pi\) |
0.678440 | + | 0.734656i | \(0.262656\pi\) | |||||||
\(854\) | 6.43468 | + | 45.3271i | 0.220190 | + | 1.55106i | ||||
\(855\) | 6.07062 | − | 0.898799i | 0.207611 | − | 0.0307383i | ||||
\(856\) | 23.2474 | + | 10.3504i | 0.794579 | + | 0.353769i | ||||
\(857\) | 29.4821 | − | 7.89972i | 1.00709 | − | 0.269849i | 0.282677 | − | 0.959215i | \(-0.408777\pi\) |
0.724413 | + | 0.689366i | \(0.242111\pi\) | |||||||
\(858\) | −34.9219 | + | 43.1249i | −1.19221 | + | 1.47226i | ||||
\(859\) | −14.8038 | + | 16.4413i | −0.505100 | + | 0.560971i | −0.940731 | − | 0.339155i | \(-0.889859\pi\) |
0.435630 | + | 0.900126i | \(0.356526\pi\) | |||||||
\(860\) | −38.9436 | − | 28.8990i | −1.32797 | − | 0.985448i | ||||
\(861\) | 44.5711 | − | 21.8157i | 1.51898 | − | 0.743476i | ||||
\(862\) | 24.6420 | + | 12.5557i | 0.839311 | + | 0.427650i | ||||
\(863\) | −27.3361 | + | 1.43263i | −0.930533 | + | 0.0487672i | −0.511575 | − | 0.859239i | \(-0.670938\pi\) |
−0.418958 | + | 0.908006i | \(0.637604\pi\) | |||||||
\(864\) | −2.23826 | − | 2.48584i | −0.0761472 | − | 0.0845701i | ||||
\(865\) | −6.76082 | − | 7.66275i | −0.229875 | − | 0.260541i | ||||
\(866\) | −19.5389 | − | 17.5929i | −0.663958 | − | 0.597830i | ||||
\(867\) | −26.1861 | − | 4.14746i | −0.889325 | − | 0.140855i | ||||
\(868\) | −37.6223 | + | 62.8120i | −1.27698 | + | 2.13198i | ||||
\(869\) | −9.73153 | − | 13.3943i | −0.330120 | − | 0.454371i | ||||
\(870\) | 19.0571 | − | 68.3556i | 0.646096 | − | 2.31747i | ||||
\(871\) | −19.3922 | − | 43.5556i | −0.657079 | − | 1.47582i | ||||
\(872\) | 17.5044 | − | 45.6006i | 0.592774 | − | 1.54423i | ||||
\(873\) | −10.7342 | + | 16.5292i | −0.363297 | + | 0.559428i | ||||
\(874\) | −15.8352 | −0.535635 | ||||||||
\(875\) | 28.1872 | + | 8.97110i | 0.952902 | + | 0.303278i | ||||
\(876\) | 22.4369 | 0.758074 | ||||||||
\(877\) | 7.07213 | − | 10.8901i | 0.238809 | − | 0.367734i | −0.698863 | − | 0.715256i | \(-0.746310\pi\) |
0.937672 | + | 0.347522i | \(0.112977\pi\) | |||||||
\(878\) | −5.00657 | + | 13.0426i | −0.168964 | + | 0.440165i | ||||
\(879\) | 7.48404 | + | 16.8094i | 0.252430 | + | 0.566968i | ||||
\(880\) | 4.27120 | − | 15.3203i | 0.143982 | − | 0.516447i | ||||
\(881\) | 34.7097 | + | 47.7739i | 1.16940 | + | 1.60954i | 0.667478 | + | 0.744629i | \(0.267374\pi\) |
0.501923 | + | 0.864913i | \(0.332626\pi\) | |||||||
\(882\) | 5.82632 | − | 19.2486i | 0.196182 | − | 0.648133i | ||||
\(883\) | 55.0566 | + | 8.72011i | 1.85280 | + | 0.293455i | 0.980649 | − | 0.195775i | \(-0.0627223\pi\) |
0.872155 | + | 0.489231i | \(0.162722\pi\) | |||||||
\(884\) | −85.7922 | − | 77.2477i | −2.88551 | − | 2.59812i | ||||
\(885\) | 0.119160 | + | 0.135057i | 0.00400553 | + | 0.00453988i | ||||
\(886\) | 43.3960 | + | 48.1961i | 1.45792 | + | 1.61918i | ||||
\(887\) | 9.60545 | − | 0.503400i | 0.322520 | − | 0.0169025i | 0.109611 | − | 0.993975i | \(-0.465040\pi\) |
0.212909 | + | 0.977072i | \(0.431706\pi\) | |||||||
\(888\) | −3.42858 | − | 1.74695i | −0.115055 | − | 0.0586237i | ||||
\(889\) | −0.169762 | + | 0.252440i | −0.00569364 | + | 0.00846657i | ||||
\(890\) | 10.4915 | + | 7.78546i | 0.351676 | + | 0.260969i | ||||
\(891\) | 15.4248 | − | 17.1310i | 0.516750 | − | 0.573909i | ||||
\(892\) | −44.7768 | + | 55.2947i | −1.49924 | + | 1.85140i | ||||
\(893\) | −6.00743 | + | 1.60968i | −0.201031 | + | 0.0538660i | ||||
\(894\) | −31.8976 | − | 14.2017i | −1.06682 | − | 0.474977i | ||||
\(895\) | −36.0620 | + | 5.33924i | −1.20542 | + | 0.178471i | ||||
\(896\) | −49.6617 | − | 19.9842i | −1.65908 | − | 0.667627i | ||||
\(897\) | 30.6218 | − | 4.85002i | 1.02243 | − | 0.161937i | ||||
\(898\) | −74.5421 | − | 48.4082i | −2.48750 | − | 1.61540i | ||||
\(899\) | −22.6263 | + | 39.1900i | −0.754630 | + | 1.30706i | ||||
\(900\) | 17.4637 | − | 15.0976i | 0.582125 | − | 0.503253i | ||||
\(901\) | −19.2375 | + | 11.1068i | −0.640894 | + | 0.370020i | ||||
\(902\) | 41.0583 | − | 20.9203i | 1.36709 | − | 0.696568i | ||||
\(903\) | −24.0231 | − | 18.0503i | −0.799439 | − | 0.600678i | ||||
\(904\) | −17.0716 | + | 23.4970i | −0.567791 | + | 0.781498i | ||||
\(905\) | −22.9015 | + | 8.52695i | −0.761272 | + | 0.283445i | ||||
\(906\) | 96.8259 | − | 10.1768i | 3.21682 | − | 0.338102i | ||||
\(907\) | −12.4183 | − | 46.3456i | −0.412342 | − | 1.53888i | −0.790101 | − | 0.612977i | \(-0.789972\pi\) |
0.377759 | − | 0.925904i | \(-0.376695\pi\) | |||||||
\(908\) | −40.2449 | + | 15.4486i | −1.33557 | + | 0.512678i | ||||
\(909\) | −1.13956 | − | 3.50719i | −0.0377967 | − | 0.116326i | ||||
\(910\) | 56.3162 | − | 53.4452i | 1.86687 | − | 1.77169i | ||||
\(911\) | −2.60677 | + | 8.02281i | −0.0863661 | + | 0.265808i | −0.984908 | − | 0.173081i | \(-0.944628\pi\) |
0.898541 | + | 0.438889i | \(0.144628\pi\) | |||||||
\(912\) | 0.854691 | + | 16.3085i | 0.0283017 | + | 0.540028i | ||||
\(913\) | −16.0378 | + | 10.4151i | −0.530773 | + | 0.344688i | ||||
\(914\) | −34.7776 | + | 31.3139i | −1.15034 | + | 1.03577i | ||||
\(915\) | −13.5438 | + | 29.6121i | −0.447744 | + | 0.978946i | ||||
\(916\) | −74.0389 | + | 24.0567i | −2.44631 | + | 0.794855i | ||||
\(917\) | 11.8795 | − | 1.05599i | 0.392295 | − | 0.0348718i | ||||
\(918\) | 34.9652 | + | 34.9652i | 1.15402 | + | 1.15402i | ||||
\(919\) | 20.0610 | − | 45.0578i | 0.661752 | − | 1.48632i | −0.200424 | − | 0.979709i | \(-0.564232\pi\) |
0.862176 | − | 0.506609i | \(-0.169101\pi\) | |||||||
\(920\) | −24.5310 | + | 15.5810i | −0.808762 | + | 0.513689i | ||||
\(921\) | 49.6127 | − | 22.0890i | 1.63479 | − | 0.727857i | ||||
\(922\) | 2.62629 | − | 2.12673i | 0.0864924 | − | 0.0700402i | ||||
\(923\) | −30.1409 | − | 59.1548i | −0.992099 | − | 1.94710i | ||||
\(924\) | 11.9837 | − | 42.0127i | 0.394234 | − | 1.38212i | ||||
\(925\) | 0.958901 | − | 1.79163i | 0.0315285 | − | 0.0589083i | ||||
\(926\) | −2.40612 | − | 4.16751i | −0.0790699 | − | 0.136953i | ||||
\(927\) | −0.686985 | + | 13.1084i | −0.0225635 | + | 0.430538i | ||||
\(928\) | −5.36461 | − | 2.05928i | −0.176102 | − | 0.0675992i | ||||
\(929\) | 3.26698 | − | 31.0833i | 0.107186 | − | 1.01981i | −0.800263 | − | 0.599649i | \(-0.795307\pi\) |
0.907450 | − | 0.420161i | \(-0.138026\pi\) | |||||||
\(930\) | −70.5209 | + | 35.0405i | −2.31247 | + | 1.14902i | ||||
\(931\) | −13.4459 | + | 9.12397i | −0.440673 | + | 0.299026i | ||||
\(932\) | 12.9472 | − | 12.9472i | 0.424099 | − | 0.424099i | ||||
\(933\) | 0.775591 | + | 2.02048i | 0.0253917 | + | 0.0661476i | ||||
\(934\) | 69.7150 | + | 14.8184i | 2.28114 | + | 0.484872i | ||||
\(935\) | 5.51132 | − | 24.7005i | 0.180239 | − | 0.807793i | ||||
\(936\) | −6.14587 | − | 28.9141i | −0.200884 | − | 0.945086i | ||||
\(937\) | 2.99169 | − | 5.87152i | 0.0977343 | − | 0.191814i | −0.836963 | − | 0.547260i | \(-0.815671\pi\) |
0.934697 | + | 0.355446i | \(0.115671\pi\) | |||||||
\(938\) | 41.5659 | + | 38.6527i | 1.35717 | + | 1.26206i | ||||
\(939\) | 36.7405 | + | 11.9377i | 1.19898 | + | 0.389572i | ||||
\(940\) | −15.8293 | + | 17.2275i | −0.516296 | + | 0.561898i | ||||
\(941\) | −3.49115 | + | 16.4246i | −0.113808 | + | 0.535425i | 0.883895 | + | 0.467686i | \(0.154912\pi\) |
−0.997703 | + | 0.0677396i | \(0.978421\pi\) | |||||||
\(942\) | 6.96245 | + | 5.63808i | 0.226849 | + | 0.183699i | ||||
\(943\) | −24.8685 | − | 6.66348i | −0.809829 | − | 0.216993i | ||||
\(944\) | −0.109615 | + | 0.0796398i | −0.00356766 | + | 0.00259206i | ||||
\(945\) | −16.7226 | + | 14.2832i | −0.543985 | + | 0.464634i | ||||
\(946\) | −22.5743 | − | 16.4012i | −0.733954 | − | 0.533249i | ||||
\(947\) | −26.2801 | − | 32.4532i | −0.853988 | − | 1.05459i | −0.997886 | − | 0.0649947i | \(-0.979297\pi\) |
0.143898 | − | 0.989593i | \(-0.454036\pi\) | |||||||
\(948\) | 63.8622 | + | 3.34688i | 2.07415 | + | 0.108702i | ||||
\(949\) | 13.1395 | + | 7.58611i | 0.426527 | + | 0.246255i | ||||
\(950\) | −28.1902 | + | 0.907454i | −0.914611 | + | 0.0294417i | ||||
\(951\) | − | 59.0773i | − | 1.91571i | ||||||
\(952\) | 63.4278 | + | 21.7412i | 2.05571 | + | 0.704637i | ||||
\(953\) | 8.84775 | + | 55.8625i | 0.286607 | + | 1.80956i | 0.539406 | + | 0.842046i | \(0.318649\pi\) |
−0.252800 | + | 0.967519i | \(0.581351\pi\) | |||||||
\(954\) | −11.5949 | − | 1.21867i | −0.375399 | − | 0.0394560i | ||||
\(955\) | −31.7020 | − | 49.9123i | −1.02585 | − | 1.61512i | ||||
\(956\) | −6.57492 | − | 62.5562i | −0.212648 | − | 2.02321i | ||||
\(957\) | 6.98864 | − | 26.0820i | 0.225911 | − | 0.843110i | ||||
\(958\) | −1.51078 | + | 9.53866i | −0.0488110 | + | 0.308180i | ||||
\(959\) | 34.5480 | + | 18.3078i | 1.11561 | + | 0.591191i | ||||
\(960\) | −24.0308 | − | 33.7872i | −0.775589 | − | 1.09048i | ||||
\(961\) | 18.7968 | − | 3.99538i | 0.606348 | − | 0.128883i | ||||
\(962\) | −2.90491 | − | 4.47317i | −0.0936580 | − | 0.144221i | ||||
\(963\) | 3.53932 | + | 5.45008i | 0.114053 | + | 0.175626i | ||||
\(964\) | −52.2567 | + | 11.1075i | −1.68308 | + | 0.357749i | ||||
\(965\) | −0.290105 | + | 28.7499i | −0.00933880 | + | 0.925492i | ||||
\(966\) | −31.2742 | + | 19.6029i | −1.00623 | + | 0.630712i | ||||
\(967\) | −1.99758 | + | 12.6122i | −0.0642378 | + | 0.405582i | 0.934527 | + | 0.355892i | \(0.115823\pi\) |
−0.998765 | + | 0.0496891i | \(0.984177\pi\) | |||||||
\(968\) | −8.05820 | + | 30.0736i | −0.259000 | + | 0.966602i | ||||
\(969\) | 2.71631 | + | 25.8439i | 0.0872603 | + | 0.830227i | ||||
\(970\) | 57.7124 | − | 69.8166i | 1.85303 | − | 2.24168i | ||||
\(971\) | 37.3736 | + | 3.92812i | 1.19938 | + | 0.126059i | 0.683075 | − | 0.730348i | \(-0.260642\pi\) |
0.516300 | + | 0.856408i | \(0.327309\pi\) | |||||||
\(972\) | 7.11609 | + | 44.9292i | 0.228249 | + | 1.44110i | ||||
\(973\) | 54.9256 | − | 10.7558i | 1.76083 | − | 0.344816i | ||||
\(974\) | − | 14.3322i | − | 0.459235i | ||||||
\(975\) | 54.2356 | − | 10.3889i | 1.73693 | − | 0.332711i | ||||
\(976\) | −21.2140 | − | 12.2479i | −0.679042 | − | 0.392045i | ||||
\(977\) | 28.7917 | + | 1.50891i | 0.921130 | + | 0.0482744i | 0.507002 | − | 0.861945i | \(-0.330754\pi\) |
0.414127 | + | 0.910219i | \(0.364087\pi\) | |||||||
\(978\) | 4.10396 | + | 5.06797i | 0.131230 | + | 0.162056i | ||||
\(979\) | 4.02183 | + | 2.92203i | 0.128538 | + | 0.0933885i | ||||
\(980\) | −24.2941 | + | 56.0905i | −0.776048 | + | 1.79175i | ||||
\(981\) | 10.0912 | − | 7.33170i | 0.322188 | − | 0.234083i | ||||
\(982\) | −2.82118 | − | 0.755932i | −0.0900274 | − | 0.0241228i | ||||
\(983\) | 21.8025 | + | 17.6554i | 0.695393 | + | 0.563118i | 0.910519 | − | 0.413468i | \(-0.135683\pi\) |
−0.215125 | + | 0.976586i | \(0.569016\pi\) | |||||||
\(984\) | −18.0539 | + | 84.9369i | −0.575537 | + | 2.70769i | ||||
\(985\) | 3.28414 | − | 28.4792i | 0.104641 | − | 0.907421i | ||||
\(986\) | 80.7874 | + | 26.2494i | 2.57280 | + | 0.835952i | ||||
\(987\) | −9.87182 | + | 10.6158i | −0.314224 | + | 0.337906i | ||||
\(988\) | −22.2258 | + | 43.6206i | −0.707096 | + | 1.38775i | ||||
\(989\) | 3.24131 | + | 15.2492i | 0.103068 | + | 0.484896i | ||||
\(990\) | 9.96026 | − | 8.78791i | 0.316558 | − | 0.279298i | ||||
\(991\) | −37.0004 | − | 7.86469i | −1.17536 | − | 0.249830i | −0.421476 | − | 0.906840i | \(-0.638488\pi\) |
−0.753882 | + | 0.657010i | \(0.771821\pi\) | |||||||
\(992\) | 2.28518 | + | 5.95309i | 0.0725544 | + | 0.189011i | ||||
\(993\) | −2.58460 | + | 2.58460i | −0.0820198 | + | 0.0820198i | ||||
\(994\) | 60.6181 | + | 50.7210i | 1.92269 | + | 1.60877i | ||||
\(995\) | −2.55677 | − | 2.60890i | −0.0810551 | − | 0.0827076i | ||||
\(996\) | 7.72084 | − | 73.4589i | 0.244644 | − | 2.32763i | ||||
\(997\) | 50.3907 | + | 19.3432i | 1.59589 | + | 0.612605i | 0.983973 | − | 0.178317i | \(-0.0570652\pi\) |
0.611917 | + | 0.790922i | \(0.290399\pi\) | |||||||
\(998\) | −1.99922 | + | 38.1474i | −0.0632841 | + | 1.20753i | ||||
\(999\) | 0.755402 | + | 1.30839i | 0.0238999 | + | 0.0413958i |
(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 | 175.2.x.a.3.17 | ✓ | 288 | |
5.2 | odd | 4 | 875.2.bb.b.507.17 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.507.2 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.493.2 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.103.2 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.143.17 | 288 | |||
25.8 | odd | 20 | 875.2.bb.c.857.17 | 288 | |||
25.17 | odd | 20 | inner | 175.2.x.a.17.2 | yes | 288 | |
25.19 | even | 10 | 875.2.bb.a.143.2 | 288 | |||
35.12 | even | 12 | 875.2.bb.b.257.17 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.243.17 | 288 | |||
35.33 | even | 12 | 875.2.bb.a.257.2 | 288 | |||
175.19 | odd | 30 | 875.2.bb.a.768.2 | 288 | |||
175.33 | even | 60 | 875.2.bb.c.607.2 | 288 | |||
175.117 | even | 60 | inner | 175.2.x.a.117.17 | yes | 288 | |
175.131 | odd | 30 | 875.2.bb.b.768.17 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.17 | ✓ | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.17.2 | yes | 288 | 25.17 | odd | 20 | inner | |
175.2.x.a.103.2 | yes | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.117.17 | yes | 288 | 175.117 | even | 60 | inner | |
875.2.bb.a.143.2 | 288 | 25.19 | even | 10 | |||
875.2.bb.a.257.2 | 288 | 35.33 | even | 12 | |||
875.2.bb.a.507.2 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.768.2 | 288 | 175.19 | odd | 30 | |||
875.2.bb.b.143.17 | 288 | 25.6 | even | 5 | |||
875.2.bb.b.257.17 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.507.17 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.768.17 | 288 | 175.131 | odd | 30 | |||
875.2.bb.c.243.17 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.493.2 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.607.2 | 288 | 175.33 | even | 60 | |||
875.2.bb.c.857.17 | 288 | 25.8 | odd | 20 |