Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(43,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 8, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bo (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(272\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 43.8 | ||
Character | \(\chi\) | \(=\) | 360.43 |
Dual form | 360.2.bo.a.67.8 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33317 | + | 0.471880i | −0.942690 | + | 0.333670i | ||||
\(3\) | 1.70913 | + | 0.280859i | 0.986765 | + | 0.162154i | ||||
\(4\) | 1.55466 | − | 1.25819i | 0.777329 | − | 0.629094i | ||||
\(5\) | 2.00296 | − | 0.994061i | 0.895750 | − | 0.444558i | ||||
\(6\) | −2.41108 | + | 0.432071i | −0.984320 | + | 0.176392i | ||||
\(7\) | −1.80031 | + | 0.482392i | −0.680454 | + | 0.182327i | −0.582459 | − | 0.812860i | \(-0.697910\pi\) |
−0.0979948 | + | 0.995187i | \(0.531243\pi\) | |||||||
\(8\) | −1.47890 | + | 2.41098i | −0.522871 | + | 0.852412i | ||||
\(9\) | 2.84224 | + | 0.960049i | 0.947412 | + | 0.320016i | ||||
\(10\) | −2.20120 | + | 2.27040i | −0.696079 | + | 0.717965i | ||||
\(11\) | −1.24298 | + | 2.15290i | −0.374771 | + | 0.649123i | −0.990293 | − | 0.138997i | \(-0.955612\pi\) |
0.615522 | + | 0.788120i | \(0.288945\pi\) | |||||||
\(12\) | 3.01048 | − | 1.71376i | 0.869052 | − | 0.494721i | ||||
\(13\) | 6.10019 | + | 1.63454i | 1.69189 | + | 0.453340i | 0.970876 | − | 0.239582i | \(-0.0770105\pi\) |
0.721012 | + | 0.692922i | \(0.243677\pi\) | |||||||
\(14\) | 2.17248 | − | 1.49264i | 0.580621 | − | 0.398925i | ||||
\(15\) | 3.70250 | − | 1.13643i | 0.955982 | − | 0.293425i | ||||
\(16\) | 0.833927 | − | 3.91211i | 0.208482 | − | 0.978026i | ||||
\(17\) | −2.22932 | + | 2.22932i | −0.540689 | + | 0.540689i | −0.923731 | − | 0.383042i | \(-0.874877\pi\) |
0.383042 | + | 0.923731i | \(0.374877\pi\) | |||||||
\(18\) | −4.24220 | + | 0.0612906i | −0.999896 | + | 0.0144463i | ||||
\(19\) | − | 5.65140i | − | 1.29652i | −0.761419 | − | 0.648260i | \(-0.775497\pi\) | ||
0.761419 | − | 0.648260i | \(-0.224503\pi\) | |||||||
\(20\) | 1.86320 | − | 4.06552i | 0.416624 | − | 0.909079i | ||||
\(21\) | −3.21245 | + | 0.318836i | −0.701014 | + | 0.0695757i | ||||
\(22\) | 0.641183 | − | 3.45670i | 0.136701 | − | 0.736971i | ||||
\(23\) | −2.54761 | − | 0.682629i | −0.531213 | − | 0.142338i | −0.0167644 | − | 0.999859i | \(-0.505337\pi\) |
−0.514448 | + | 0.857521i | \(0.672003\pi\) | |||||||
\(24\) | −3.20478 | + | 3.70532i | −0.654173 | + | 0.756345i | ||||
\(25\) | 3.02368 | − | 3.98213i | 0.604737 | − | 0.796425i | ||||
\(26\) | −8.90387 | + | 0.699444i | −1.74619 | + | 0.137172i | ||||
\(27\) | 4.58811 | + | 2.43911i | 0.882981 | + | 0.469408i | ||||
\(28\) | −2.19193 | + | 3.01509i | −0.414236 | + | 0.569798i | ||||
\(29\) | 0.612879 | − | 1.06154i | 0.113809 | − | 0.197123i | −0.803494 | − | 0.595313i | \(-0.797028\pi\) |
0.917303 | + | 0.398190i | \(0.130362\pi\) | |||||||
\(30\) | −4.39979 | + | 3.26218i | −0.803288 | + | 0.595591i | ||||
\(31\) | 4.26322 | − | 2.46137i | 0.765697 | − | 0.442075i | −0.0656404 | − | 0.997843i | \(-0.520909\pi\) |
0.831337 | + | 0.555768i | \(0.187576\pi\) | |||||||
\(32\) | 0.734282 | + | 5.60900i | 0.129804 | + | 0.991540i | ||||
\(33\) | −2.72906 | + | 3.33047i | −0.475069 | + | 0.579761i | ||||
\(34\) | 1.92008 | − | 4.02402i | 0.329291 | − | 0.690114i | ||||
\(35\) | −3.12642 | + | 2.75583i | −0.528462 | + | 0.465821i | ||||
\(36\) | 5.62663 | − | 2.08352i | 0.937771 | − | 0.347253i | ||||
\(37\) | 1.09778 | + | 1.09778i | 0.180474 | + | 0.180474i | 0.791562 | − | 0.611089i | \(-0.209268\pi\) |
−0.611089 | + | 0.791562i | \(0.709268\pi\) | |||||||
\(38\) | 2.66678 | + | 7.53425i | 0.432609 | + | 1.22222i | ||||
\(39\) | 9.96693 | + | 4.50693i | 1.59599 | + | 0.721687i | ||||
\(40\) | −0.565515 | + | 6.29922i | −0.0894157 | + | 0.995994i | ||||
\(41\) | −0.465666 | − | 0.806558i | −0.0727249 | − | 0.125963i | 0.827370 | − | 0.561658i | \(-0.189836\pi\) |
−0.900095 | + | 0.435694i | \(0.856503\pi\) | |||||||
\(42\) | 4.13227 | − | 1.94095i | 0.637624 | − | 0.299495i | ||||
\(43\) | −4.49282 | + | 1.20385i | −0.685148 | + | 0.183585i | −0.584569 | − | 0.811344i | \(-0.698736\pi\) |
−0.100579 | + | 0.994929i | \(0.532070\pi\) | |||||||
\(44\) | 0.776346 | + | 4.91092i | 0.117039 | + | 0.740348i | ||||
\(45\) | 6.64723 | − | 0.902420i | 0.990910 | − | 0.134525i | ||||
\(46\) | 3.71850 | − | 0.292107i | 0.548263 | − | 0.0430688i | ||||
\(47\) | 2.06237 | − | 0.552610i | 0.300827 | − | 0.0806065i | −0.105248 | − | 0.994446i | \(-0.533564\pi\) |
0.406076 | + | 0.913840i | \(0.366897\pi\) | |||||||
\(48\) | 2.52404 | − | 6.45207i | 0.364314 | − | 0.931276i | ||||
\(49\) | −3.05375 | + | 1.76309i | −0.436251 | + | 0.251869i | ||||
\(50\) | −2.15198 | + | 6.73565i | −0.304336 | + | 0.952565i | ||||
\(51\) | −4.43632 | + | 3.18407i | −0.621209 | + | 0.445859i | ||||
\(52\) | 11.5403 | − | 5.13403i | 1.60035 | − | 0.711962i | ||||
\(53\) | −5.17788 | + | 5.17788i | −0.711236 | + | 0.711236i | −0.966794 | − | 0.255558i | \(-0.917741\pi\) |
0.255558 | + | 0.966794i | \(0.417741\pi\) | |||||||
\(54\) | −7.26767 | − | 1.08671i | −0.989005 | − | 0.147882i | ||||
\(55\) | −0.349516 | + | 5.54776i | −0.0471288 | + | 0.748059i | ||||
\(56\) | 1.49945 | − | 5.05394i | 0.200372 | − | 0.675361i | ||||
\(57\) | 1.58725 | − | 9.65896i | 0.210236 | − | 1.27936i | ||||
\(58\) | −0.316151 | + | 1.70441i | −0.0415126 | + | 0.223800i | ||||
\(59\) | −4.27412 | + | 2.46767i | −0.556443 | + | 0.321263i | −0.751717 | − | 0.659486i | \(-0.770774\pi\) |
0.195273 | + | 0.980749i | \(0.437441\pi\) | |||||||
\(60\) | 4.32629 | − | 6.42520i | 0.558521 | − | 0.829490i | ||||
\(61\) | −7.16118 | − | 4.13451i | −0.916895 | − | 0.529370i | −0.0342520 | − | 0.999413i | \(-0.510905\pi\) |
−0.882643 | + | 0.470044i | \(0.844238\pi\) | |||||||
\(62\) | −4.52211 | + | 5.29314i | −0.574308 | + | 0.672230i | ||||
\(63\) | −5.58003 | − | 0.357315i | −0.703018 | − | 0.0450175i | ||||
\(64\) | −3.62569 | − | 7.13122i | −0.453211 | − | 0.891403i | ||||
\(65\) | 13.8433 | − | 2.79005i | 1.71704 | − | 0.346063i | ||||
\(66\) | 2.06671 | − | 5.72786i | 0.254394 | − | 0.705051i | ||||
\(67\) | −8.61616 | − | 2.30869i | −1.05263 | − | 0.282052i | −0.309292 | − | 0.950967i | \(-0.600092\pi\) |
−0.743339 | + | 0.668915i | \(0.766759\pi\) | |||||||
\(68\) | −0.660928 | + | 6.27073i | −0.0801493 | + | 0.760438i | ||||
\(69\) | −4.16246 | − | 1.88222i | −0.501102 | − | 0.226593i | ||||
\(70\) | 2.86762 | − | 5.14928i | 0.342746 | − | 0.615456i | ||||
\(71\) | − | 12.1512i | − | 1.44208i | −0.692893 | − | 0.721041i | \(-0.743664\pi\) | ||
0.692893 | − | 0.721041i | \(-0.256336\pi\) | |||||||
\(72\) | −6.51805 | + | 5.43277i | −0.768160 | + | 0.640258i | ||||
\(73\) | 11.0425 | + | 11.0425i | 1.29243 | + | 1.29243i | 0.933279 | + | 0.359153i | \(0.116935\pi\) |
0.359153 | + | 0.933279i | \(0.383065\pi\) | |||||||
\(74\) | −1.98154 | − | 0.945500i | −0.230349 | − | 0.109912i | ||||
\(75\) | 6.28628 | − | 5.95674i | 0.725877 | − | 0.687825i | ||||
\(76\) | −7.11052 | − | 8.78600i | −0.815633 | − | 1.00782i | ||||
\(77\) | 1.19920 | − | 4.47549i | 0.136662 | − | 0.510029i | ||||
\(78\) | −15.4143 | − | 1.30529i | −1.74532 | − | 0.147795i | ||||
\(79\) | −6.28448 | + | 10.8850i | −0.707060 | + | 1.22466i | 0.258883 | + | 0.965909i | \(0.416645\pi\) |
−0.965943 | + | 0.258755i | \(0.916688\pi\) | |||||||
\(80\) | −2.21855 | − | 8.66476i | −0.248042 | − | 0.968749i | ||||
\(81\) | 7.15661 | + | 5.45737i | 0.795179 | + | 0.606375i | ||||
\(82\) | 1.00141 | + | 0.855536i | 0.110587 | + | 0.0944782i | ||||
\(83\) | −8.30277 | + | 2.22472i | −0.911347 | + | 0.244195i | −0.683883 | − | 0.729592i | \(-0.739710\pi\) |
−0.227464 | + | 0.973786i | \(0.573044\pi\) | |||||||
\(84\) | −4.59311 | + | 4.53755i | −0.501149 | + | 0.495087i | ||||
\(85\) | −2.24915 | + | 6.68131i | −0.243955 | + | 0.724690i | ||||
\(86\) | 5.42160 | − | 3.72500i | 0.584626 | − | 0.401677i | ||||
\(87\) | 1.34563 | − | 1.64217i | 0.144267 | − | 0.176059i | ||||
\(88\) | −3.35236 | − | 6.18072i | −0.357363 | − | 0.658867i | ||||
\(89\) | − | 17.2854i | − | 1.83225i | −0.400896 | − | 0.916124i | \(-0.631301\pi\) | ||
0.400896 | − | 0.916124i | \(-0.368699\pi\) | |||||||
\(90\) | −8.43602 | + | 4.33977i | −0.889234 | + | 0.457452i | ||||
\(91\) | −11.7707 | −1.23391 | ||||||||
\(92\) | −4.81953 | + | 2.14411i | −0.502471 | + | 0.223539i | ||||
\(93\) | 7.97769 | − | 3.00943i | 0.827248 | − | 0.312064i | ||||
\(94\) | −2.48871 | + | 1.70991i | −0.256691 | + | 0.176364i | ||||
\(95\) | −5.61784 | − | 11.3195i | −0.576378 | − | 1.16136i | ||||
\(96\) | −0.320357 | + | 9.79272i | −0.0326963 | + | 0.999465i | ||||
\(97\) | −2.95785 | − | 11.0389i | −0.300325 | − | 1.12083i | −0.936896 | − | 0.349609i | \(-0.886315\pi\) |
0.636571 | − | 0.771218i | \(-0.280352\pi\) | |||||||
\(98\) | 3.23919 | − | 3.79149i | 0.327208 | − | 0.382998i | ||||
\(99\) | −5.59972 | + | 4.92572i | −0.562793 | + | 0.495054i | ||||
\(100\) | −0.309468 | − | 9.99521i | −0.0309468 | − | 0.999521i | ||||
\(101\) | −1.16881 | − | 0.674816i | −0.116301 | − | 0.0671467i | 0.440721 | − | 0.897644i | \(-0.354723\pi\) |
−0.557022 | + | 0.830498i | \(0.688056\pi\) | |||||||
\(102\) | 4.41185 | − | 6.33830i | 0.436838 | − | 0.627585i | ||||
\(103\) | −1.54002 | − | 0.412646i | −0.151742 | − | 0.0406592i | 0.182148 | − | 0.983271i | \(-0.441695\pi\) |
−0.333890 | + | 0.942612i | \(0.608362\pi\) | |||||||
\(104\) | −12.9624 | + | 12.2901i | −1.27107 | + | 1.20515i | ||||
\(105\) | −6.11746 | + | 3.83199i | −0.597003 | + | 0.373964i | ||||
\(106\) | 4.45963 | − | 9.34630i | 0.433158 | − | 0.907793i | ||||
\(107\) | −6.20837 | + | 6.20837i | −0.600186 | + | 0.600186i | −0.940362 | − | 0.340176i | \(-0.889513\pi\) |
0.340176 | + | 0.940362i | \(0.389513\pi\) | |||||||
\(108\) | 10.2018 | − | 1.98071i | 0.981669 | − | 0.190594i | ||||
\(109\) | −16.1437 | −1.54628 | −0.773141 | − | 0.634235i | \(-0.781315\pi\) | ||||
−0.773141 | + | 0.634235i | \(0.781315\pi\) | |||||||
\(110\) | −2.15191 | − | 7.56100i | −0.205177 | − | 0.720913i | ||||
\(111\) | 1.56792 | + | 2.18456i | 0.148821 | + | 0.207350i | ||||
\(112\) | 0.385840 | + | 7.44529i | 0.0364585 | + | 0.703514i | ||||
\(113\) | 2.04172 | − | 7.61981i | 0.192069 | − | 0.716812i | −0.800937 | − | 0.598749i | \(-0.795665\pi\) |
0.993006 | − | 0.118063i | \(-0.0376685\pi\) | |||||||
\(114\) | 2.44181 | + | 13.6260i | 0.228696 | + | 1.27619i | ||||
\(115\) | −5.78132 | + | 1.16520i | −0.539111 | + | 0.108655i | ||||
\(116\) | −0.382796 | − | 2.42145i | −0.0355417 | − | 0.224826i | ||||
\(117\) | 15.7689 | + | 10.5022i | 1.45784 | + | 0.970932i | ||||
\(118\) | 4.53367 | − | 5.30668i | 0.417358 | − | 0.488519i | ||||
\(119\) | 2.93807 | − | 5.08888i | 0.269332 | − | 0.466497i | ||||
\(120\) | −2.73573 | + | 10.6073i | −0.249737 | + | 0.968314i | ||||
\(121\) | 2.41002 | + | 4.17428i | 0.219093 | + | 0.379480i | ||||
\(122\) | 11.4980 | + | 2.13277i | 1.04098 | + | 0.193092i | ||||
\(123\) | −0.569354 | − | 1.50930i | −0.0513369 | − | 0.136089i | ||||
\(124\) | 3.53099 | − | 9.19053i | 0.317092 | − | 0.825334i | ||||
\(125\) | 2.09783 | − | 10.9818i | 0.187636 | − | 0.982239i | ||||
\(126\) | 7.60772 | − | 2.15675i | 0.677749 | − | 0.192138i | ||||
\(127\) | −0.142129 | − | 0.142129i | −0.0126119 | − | 0.0126119i | 0.700773 | − | 0.713385i | \(-0.252839\pi\) |
−0.713385 | + | 0.700773i | \(0.752839\pi\) | |||||||
\(128\) | 8.19873 | + | 7.79621i | 0.724672 | + | 0.689094i | ||||
\(129\) | −8.01691 | + | 0.795679i | −0.705850 | + | 0.0700556i | ||||
\(130\) | −17.1388 | + | 10.2519i | −1.50317 | + | 0.899155i | ||||
\(131\) | 10.5282 | + | 18.2354i | 0.919856 | + | 1.59324i | 0.799632 | + | 0.600491i | \(0.205028\pi\) |
0.120224 | + | 0.992747i | \(0.461639\pi\) | |||||||
\(132\) | −0.0524021 | + | 8.61143i | −0.00456102 | + | 0.749528i | ||||
\(133\) | 2.72619 | + | 10.1743i | 0.236391 | + | 0.882223i | ||||
\(134\) | 12.5762 | − | 0.987923i | 1.08642 | − | 0.0853436i | ||||
\(135\) | 11.6144 | + | 0.324585i | 0.999610 | + | 0.0279358i | ||||
\(136\) | −2.07791 | − | 8.67180i | −0.178179 | − | 0.743601i | ||||
\(137\) | 0.592433 | + | 2.21099i | 0.0506150 | + | 0.188898i | 0.986605 | − | 0.163130i | \(-0.0521590\pi\) |
−0.935990 | + | 0.352028i | \(0.885492\pi\) | |||||||
\(138\) | 6.43743 | + | 0.545127i | 0.547991 | + | 0.0464043i | ||||
\(139\) | 16.5978 | − | 9.58277i | 1.40781 | − | 0.812800i | 0.412634 | − | 0.910897i | \(-0.364609\pi\) |
0.995177 | + | 0.0980970i | \(0.0312755\pi\) | |||||||
\(140\) | −1.39317 | + | 8.21801i | −0.117744 | + | 0.694549i | ||||
\(141\) | 3.68006 | − | 0.365246i | 0.309917 | − | 0.0307593i | ||||
\(142\) | 5.73391 | + | 16.1996i | 0.481179 | + | 1.35944i | ||||
\(143\) | −11.1014 | + | 11.1014i | −0.928344 | + | 0.928344i | ||||
\(144\) | 6.12603 | − | 10.3185i | 0.510502 | − | 0.859876i | ||||
\(145\) | 0.172338 | − | 2.73546i | 0.0143119 | − | 0.227167i | ||||
\(146\) | −19.9323 | − | 9.51078i | −1.64961 | − | 0.787118i | ||||
\(147\) | −5.71443 | + | 2.15566i | −0.471319 | + | 0.177796i | ||||
\(148\) | 3.08788 | + | 0.325459i | 0.253822 | + | 0.0267526i | ||||
\(149\) | −7.67269 | − | 13.2895i | −0.628571 | − | 1.08872i | −0.987839 | − | 0.155482i | \(-0.950307\pi\) |
0.359268 | − | 0.933235i | \(-0.383026\pi\) | |||||||
\(150\) | −5.56978 | + | 10.9077i | −0.454771 | + | 0.890608i | ||||
\(151\) | −16.7455 | − | 9.66802i | −1.36273 | − | 0.786772i | −0.372743 | − | 0.927935i | \(-0.621583\pi\) |
−0.989986 | + | 0.141162i | \(0.954916\pi\) | |||||||
\(152\) | 13.6254 | + | 8.35787i | 1.10517 | + | 0.677913i | ||||
\(153\) | −8.47651 | + | 4.19600i | −0.685285 | + | 0.339226i | ||||
\(154\) | 0.513157 | + | 6.53245i | 0.0413514 | + | 0.526400i | ||||
\(155\) | 6.09230 | − | 9.16793i | 0.489345 | − | 0.736386i | ||||
\(156\) | 21.1657 | − | 5.53352i | 1.69462 | − | 0.443036i | ||||
\(157\) | 1.94728 | − | 7.26736i | 0.155410 | − | 0.579998i | −0.843660 | − | 0.536878i | \(-0.819603\pi\) |
0.999070 | − | 0.0431202i | \(-0.0137298\pi\) | |||||||
\(158\) | 3.24182 | − | 17.4771i | 0.257905 | − | 1.39040i | ||||
\(159\) | −10.3039 | + | 7.39540i | −0.817153 | + | 0.586493i | ||||
\(160\) | 7.04642 | + | 10.5047i | 0.557069 | + | 0.830467i | ||||
\(161\) | 4.91578 | 0.387418 | ||||||||
\(162\) | −12.1162 | − | 3.89851i | −0.951936 | − | 0.306296i | ||||
\(163\) | −9.43041 | − | 9.43041i | −0.738647 | − | 0.738647i | 0.233670 | − | 0.972316i | \(-0.424927\pi\) |
−0.972316 | + | 0.233670i | \(0.924927\pi\) | |||||||
\(164\) | −1.73875 | − | 0.668026i | −0.135774 | − | 0.0521641i | ||||
\(165\) | −2.15551 | + | 9.38366i | −0.167806 | + | 0.730517i | ||||
\(166\) | 10.0192 | − | 6.88383i | 0.777638 | − | 0.534289i | ||||
\(167\) | −1.71274 | + | 6.39203i | −0.132536 | + | 0.494630i | −0.999996 | − | 0.00287647i | \(-0.999084\pi\) |
0.867460 | + | 0.497507i | \(0.165751\pi\) | |||||||
\(168\) | 3.98219 | − | 8.21669i | 0.307233 | − | 0.633932i | ||||
\(169\) | 23.2823 | + | 13.4420i | 1.79094 | + | 1.03400i | ||||
\(170\) | −0.154286 | − | 9.96863i | −0.0118332 | − | 0.764559i | ||||
\(171\) | 5.42562 | − | 16.0626i | 0.414908 | − | 1.22834i | ||||
\(172\) | −5.47013 | + | 7.52438i | −0.417094 | + | 0.573729i | ||||
\(173\) | 0.0130577 | + | 0.0487322i | 0.000992762 | + | 0.00370504i | 0.966420 | − | 0.256966i | \(-0.0827229\pi\) |
−0.965428 | + | 0.260671i | \(0.916056\pi\) | |||||||
\(174\) | −1.01904 | + | 2.82426i | −0.0772534 | + | 0.214107i | ||||
\(175\) | −3.52263 | + | 8.62768i | −0.266286 | + | 0.652191i | ||||
\(176\) | 7.38581 | + | 6.65801i | 0.556726 | + | 0.501866i | ||||
\(177\) | −7.99809 | + | 3.01713i | −0.601173 | + | 0.226781i | ||||
\(178\) | 8.15663 | + | 23.0443i | 0.611365 | + | 1.72724i | ||||
\(179\) | 4.19717i | 0.313711i | 0.987622 | + | 0.156855i | \(0.0501357\pi\) | ||||
−0.987622 | + | 0.156855i | \(0.949864\pi\) | |||||||
\(180\) | 9.19876 | − | 9.76642i | 0.685635 | − | 0.727946i | ||||
\(181\) | 21.7125i | 1.61388i | 0.590636 | + | 0.806938i | \(0.298877\pi\) | ||||
−0.590636 | + | 0.806938i | \(0.701123\pi\) | |||||||
\(182\) | 15.6923 | − | 5.55438i | 1.16319 | − | 0.411718i | ||||
\(183\) | −11.0782 | − | 9.07769i | −0.818921 | − | 0.671042i | ||||
\(184\) | 5.41347 | − | 5.13270i | 0.399086 | − | 0.378387i | ||||
\(185\) | 3.29006 | + | 1.10755i | 0.241890 | + | 0.0814283i | ||||
\(186\) | −9.21548 | + | 7.77658i | −0.675712 | + | 0.570207i | ||||
\(187\) | −2.02850 | − | 7.57048i | −0.148339 | − | 0.553609i | ||||
\(188\) | 2.51099 | − | 3.45397i | 0.183133 | − | 0.251906i | ||||
\(189\) | −9.43664 | − | 2.17790i | −0.686414 | − | 0.158419i | ||||
\(190\) | 12.8310 | + | 12.4398i | 0.930856 | + | 0.902481i | ||||
\(191\) | 7.88282 | + | 4.55115i | 0.570381 | + | 0.329309i | 0.757301 | − | 0.653066i | \(-0.226517\pi\) |
−0.186921 | + | 0.982375i | \(0.559851\pi\) | |||||||
\(192\) | −4.19390 | − | 13.2065i | −0.302669 | − | 0.953096i | ||||
\(193\) | 0.00444057 | − | 0.0165724i | 0.000319639 | − | 0.00119291i | −0.965766 | − | 0.259415i | \(-0.916470\pi\) |
0.966085 | + | 0.258223i | \(0.0831368\pi\) | |||||||
\(194\) | 9.15232 | + | 13.3209i | 0.657099 | + | 0.956383i | ||||
\(195\) | 24.4435 | − | 0.880538i | 1.75044 | − | 0.0630566i | ||||
\(196\) | −2.52925 | + | 6.58319i | −0.180661 | + | 0.470228i | ||||
\(197\) | 0.634408 | + | 0.634408i | 0.0451997 | + | 0.0451997i | 0.729345 | − | 0.684146i | \(-0.239825\pi\) |
−0.684146 | + | 0.729345i | \(0.739825\pi\) | |||||||
\(198\) | 5.14100 | − | 9.20920i | 0.365355 | − | 0.654469i | ||||
\(199\) | 17.3156 | 1.22747 | 0.613734 | − | 0.789513i | \(-0.289667\pi\) | ||||
0.613734 | + | 0.789513i | \(0.289667\pi\) | |||||||
\(200\) | 5.12911 | + | 13.1792i | 0.362683 | + | 0.931913i | ||||
\(201\) | −14.0777 | − | 6.36578i | −0.992964 | − | 0.449007i | ||||
\(202\) | 1.87666 | + | 0.348100i | 0.132041 | + | 0.0244923i | ||||
\(203\) | −0.591297 | + | 2.20675i | −0.0415009 | + | 0.154883i | ||||
\(204\) | −2.89080 | + | 10.5319i | −0.202397 | + | 0.737377i | ||||
\(205\) | −1.73448 | − | 1.15260i | −0.121141 | − | 0.0805011i | ||||
\(206\) | 2.24781 | − | 0.176577i | 0.156613 | − | 0.0123027i | ||||
\(207\) | −6.58554 | − | 4.38602i | −0.457727 | − | 0.304849i | ||||
\(208\) | 11.4816 | − | 22.5015i | 0.796106 | − | 1.56020i | ||||
\(209\) | 12.1669 | + | 7.02455i | 0.841601 | + | 0.485898i | ||||
\(210\) | 6.34735 | − | 7.99538i | 0.438009 | − | 0.551733i | ||||
\(211\) | 8.45922 | + | 14.6518i | 0.582357 | + | 1.00867i | 0.995199 | + | 0.0978690i | \(0.0312026\pi\) |
−0.412843 | + | 0.910802i | \(0.635464\pi\) | |||||||
\(212\) | −1.53509 | + | 14.5646i | −0.105430 | + | 1.00030i | ||||
\(213\) | 3.41278 | − | 20.7679i | 0.233840 | − | 1.42300i | ||||
\(214\) | 5.34718 | − | 11.2064i | 0.365526 | − | 0.766053i | ||||
\(215\) | −7.80223 | + | 6.87739i | −0.532108 | + | 0.469034i | ||||
\(216\) | −12.6660 | + | 7.45464i | −0.861814 | + | 0.507224i | ||||
\(217\) | −6.48778 | + | 6.48778i | −0.440420 | + | 0.440420i | ||||
\(218\) | 21.5222 | − | 7.61786i | 1.45766 | − | 0.515947i | ||||
\(219\) | 15.7717 | + | 21.9745i | 1.06575 | + | 1.48490i | ||||
\(220\) | 6.43674 | + | 9.06462i | 0.433965 | + | 0.611137i | ||||
\(221\) | −17.2432 | + | 9.95536i | −1.15990 | + | 0.669670i | ||||
\(222\) | −3.12115 | − | 2.17251i | −0.209478 | − | 0.145810i | ||||
\(223\) | 1.77020 | + | 6.60647i | 0.118541 | + | 0.442402i | 0.999527 | − | 0.0307401i | \(-0.00978643\pi\) |
−0.880986 | + | 0.473142i | \(0.843120\pi\) | |||||||
\(224\) | −4.02767 | − | 9.74374i | −0.269110 | − | 0.651031i | ||||
\(225\) | 12.4171 | − | 8.41526i | 0.827804 | − | 0.561017i | ||||
\(226\) | 0.873684 | + | 11.1219i | 0.0581166 | + | 0.739819i | ||||
\(227\) | −5.18704 | − | 19.3583i | −0.344276 | − | 1.28486i | −0.893456 | − | 0.449151i | \(-0.851726\pi\) |
0.549180 | − | 0.835704i | \(-0.314940\pi\) | |||||||
\(228\) | −9.68516 | − | 17.0134i | −0.641416 | − | 1.12674i | ||||
\(229\) | −5.26835 | − | 9.12505i | −0.348142 | − | 0.603000i | 0.637777 | − | 0.770221i | \(-0.279854\pi\) |
−0.985919 | + | 0.167221i | \(0.946521\pi\) | |||||||
\(230\) | 7.15763 | − | 4.28149i | 0.471960 | − | 0.282313i | ||||
\(231\) | 3.30658 | − | 7.31238i | 0.217557 | − | 0.481119i | ||||
\(232\) | 1.65296 | + | 3.04756i | 0.108522 | + | 0.200082i | ||||
\(233\) | −17.5484 | − | 17.5484i | −1.14963 | − | 1.14963i | −0.986625 | − | 0.163009i | \(-0.947880\pi\) |
−0.163009 | − | 0.986625i | \(-0.552120\pi\) | |||||||
\(234\) | −25.9784 | − | 6.56016i | −1.69826 | − | 0.428851i | ||||
\(235\) | 3.58151 | − | 3.15698i | 0.233632 | − | 0.205938i | ||||
\(236\) | −3.54001 | + | 9.21403i | −0.230435 | + | 0.599782i | ||||
\(237\) | −13.7982 | + | 16.8389i | −0.896286 | + | 1.09380i | ||||
\(238\) | −1.51559 | + | 8.17073i | −0.0982409 | + | 0.529630i | ||||
\(239\) | 6.36610 | + | 11.0264i | 0.411789 | + | 0.713239i | 0.995085 | − | 0.0990200i | \(-0.0315708\pi\) |
−0.583297 | + | 0.812259i | \(0.698237\pi\) | |||||||
\(240\) | −1.35821 | − | 15.4323i | −0.0876722 | − | 0.996149i | ||||
\(241\) | −9.17931 | + | 15.8990i | −0.591292 | + | 1.02415i | 0.402767 | + | 0.915302i | \(0.368048\pi\) |
−0.994059 | + | 0.108845i | \(0.965285\pi\) | |||||||
\(242\) | −5.18272 | − | 4.42777i | −0.333158 | − | 0.284628i | ||||
\(243\) | 10.6988 | + | 11.3373i | 0.686329 | + | 0.727291i | ||||
\(244\) | −16.3352 | + | 2.58236i | −1.04575 | + | 0.165319i | ||||
\(245\) | −4.36393 | + | 6.56701i | −0.278801 | + | 0.419551i | ||||
\(246\) | 1.47125 | + | 1.74348i | 0.0938035 | + | 0.111160i | ||||
\(247\) | 9.23744 | − | 34.4746i | 0.587764 | − | 2.19357i | ||||
\(248\) | −0.370562 | + | 13.9187i | −0.0235307 | + | 0.883838i | ||||
\(249\) | −14.8153 | + | 1.47042i | −0.938883 | + | 0.0931842i | ||||
\(250\) | 2.38532 | + | 15.6304i | 0.150861 | + | 0.988555i | ||||
\(251\) | 15.8460 | 1.00019 | 0.500096 | − | 0.865970i | \(-0.333298\pi\) | ||||
0.500096 | + | 0.865970i | \(0.333298\pi\) | |||||||
\(252\) | −9.12462 | + | 6.46523i | −0.574797 | + | 0.407271i | ||||
\(253\) | 4.63624 | − | 4.63624i | 0.291478 | − | 0.291478i | ||||
\(254\) | 0.256550 | + | 0.122414i | 0.0160974 | + | 0.00768092i | ||||
\(255\) | −5.72060 | + | 10.7875i | −0.358238 | + | 0.675541i | ||||
\(256\) | −14.6091 | − | 6.52482i | −0.913071 | − | 0.407801i | ||||
\(257\) | −4.55868 | − | 1.22149i | −0.284362 | − | 0.0761947i | 0.113819 | − | 0.993502i | \(-0.463692\pi\) |
−0.398181 | + | 0.917307i | \(0.630358\pi\) | |||||||
\(258\) | 10.3124 | − | 4.84379i | 0.642022 | − | 0.301561i | ||||
\(259\) | −2.50590 | − | 1.44678i | −0.155709 | − | 0.0898988i | ||||
\(260\) | 18.0111 | − | 21.7550i | 1.11700 | − | 1.34919i | ||||
\(261\) | 2.76108 | − | 2.42875i | 0.170906 | − | 0.150336i | ||||
\(262\) | −22.6408 | − | 19.3428i | −1.39875 | − | 1.19500i | ||||
\(263\) | −0.793018 | − | 2.95958i | −0.0488996 | − | 0.182496i | 0.937156 | − | 0.348909i | \(-0.113448\pi\) |
−0.986056 | + | 0.166414i | \(0.946781\pi\) | |||||||
\(264\) | −3.99370 | − | 11.5052i | −0.245795 | − | 0.708095i | ||||
\(265\) | −5.22395 | + | 15.5182i | −0.320904 | + | 0.953276i | ||||
\(266\) | −8.43551 | − | 12.2776i | −0.517214 | − | 0.752786i | ||||
\(267\) | 4.85476 | − | 29.5429i | 0.297107 | − | 1.80800i | ||||
\(268\) | −16.2999 | + | 7.25151i | −0.995678 | + | 0.442957i | ||||
\(269\) | 13.1477 | 0.801629 | 0.400814 | − | 0.916159i | \(-0.368727\pi\) | ||||
0.400814 | + | 0.916159i | \(0.368727\pi\) | |||||||
\(270\) | −15.6371 | + | 5.04788i | −0.951644 | + | 0.307204i | ||||
\(271\) | 9.41517i | 0.571931i | 0.958240 | + | 0.285965i | \(0.0923142\pi\) | ||||
−0.958240 | + | 0.285965i | \(0.907686\pi\) | |||||||
\(272\) | 6.86224 | + | 10.5804i | 0.416085 | + | 0.641532i | ||||
\(273\) | −20.1177 | − | 3.30592i | −1.21758 | − | 0.200083i | ||||
\(274\) | −1.83313 | − | 2.66806i | −0.110744 | − | 0.161183i | ||||
\(275\) | 4.81474 | + | 11.4594i | 0.290340 | + | 0.691026i | ||||
\(276\) | −8.83939 | + | 2.31095i | −0.532069 | + | 0.139103i | ||||
\(277\) | −30.5379 | + | 8.18260i | −1.83484 | + | 0.491645i | −0.998407 | − | 0.0564209i | \(-0.982031\pi\) |
−0.836435 | + | 0.548065i | \(0.815364\pi\) | |||||||
\(278\) | −17.6058 | + | 20.6076i | −1.05592 | + | 1.23596i | ||||
\(279\) | 14.4801 | − | 2.90290i | 0.866902 | − | 0.173792i | ||||
\(280\) | −2.02059 | − | 11.6134i | −0.120754 | − | 0.694032i | ||||
\(281\) | 7.23037 | − | 12.5234i | 0.431328 | − | 0.747082i | −0.565660 | − | 0.824638i | \(-0.691379\pi\) |
0.996988 | + | 0.0775568i | \(0.0247119\pi\) | |||||||
\(282\) | −4.73377 | + | 2.22348i | −0.281892 | + | 0.132406i | ||||
\(283\) | 0.0225783 | − | 0.0842633i | 0.00134214 | − | 0.00500893i | −0.965252 | − | 0.261323i | \(-0.915841\pi\) |
0.966594 | + | 0.256314i | \(0.0825080\pi\) | |||||||
\(284\) | −15.2885 | − | 18.8910i | −0.907205 | − | 1.12097i | ||||
\(285\) | −6.42241 | − | 20.9243i | −0.380431 | − | 1.23945i | ||||
\(286\) | 9.56146 | − | 20.0385i | 0.565381 | − | 1.18490i | ||||
\(287\) | 1.22742 | + | 1.22742i | 0.0724525 | + | 0.0724525i | ||||
\(288\) | −3.29791 | + | 16.6470i | −0.194331 | + | 0.980936i | ||||
\(289\) | 7.06027i | 0.415310i | ||||||||
\(290\) | 1.06105 | + | 3.72814i | 0.0623072 | + | 0.218924i | ||||
\(291\) | −1.95498 | − | 19.6976i | −0.114603 | − | 1.15469i | ||||
\(292\) | 31.0610 | + | 3.27379i | 1.81771 | + | 0.191584i | ||||
\(293\) | 1.62211 | + | 0.434642i | 0.0947645 | + | 0.0253921i | 0.305890 | − | 0.952067i | \(-0.401046\pi\) |
−0.211125 | + | 0.977459i | \(0.567713\pi\) | |||||||
\(294\) | 6.60107 | − | 5.57038i | 0.384982 | − | 0.324871i | ||||
\(295\) | −6.10788 | + | 9.19137i | −0.355614 | + | 0.535142i | ||||
\(296\) | −4.27023 | + | 1.02322i | −0.248202 | + | 0.0594734i | ||||
\(297\) | −10.9541 | + | 6.84596i | −0.635619 | + | 0.397243i | ||||
\(298\) | 16.5000 | + | 14.0965i | 0.955819 | + | 0.816588i | ||||
\(299\) | −14.4251 | − | 8.32833i | −0.834225 | − | 0.481640i | ||||
\(300\) | 2.27833 | − | 17.1700i | 0.131539 | − | 0.991311i | ||||
\(301\) | 7.50775 | − | 4.33460i | 0.432740 | − | 0.249842i | ||||
\(302\) | 26.8867 | + | 4.98720i | 1.54715 | + | 0.286981i | ||||
\(303\) | −1.80813 | − | 1.48162i | −0.103874 | − | 0.0851168i | ||||
\(304\) | −22.1089 | − | 4.71285i | −1.26803 | − | 0.270301i | ||||
\(305\) | −18.4535 | − | 1.16260i | −1.05664 | − | 0.0665701i | ||||
\(306\) | 9.32058 | − | 9.59385i | 0.532822 | − | 0.548444i | ||||
\(307\) | 8.64512 | − | 8.64512i | 0.493403 | − | 0.493403i | −0.415974 | − | 0.909377i | \(-0.636559\pi\) |
0.909377 | + | 0.415974i | \(0.136559\pi\) | |||||||
\(308\) | −3.76665 | − | 8.46668i | −0.214625 | − | 0.482434i | ||||
\(309\) | −2.51619 | − | 1.13779i | −0.143141 | − | 0.0647267i | ||||
\(310\) | −3.79588 | + | 15.0972i | −0.215591 | + | 0.857463i | ||||
\(311\) | 11.8281 | − | 6.82895i | 0.670709 | − | 0.387234i | −0.125636 | − | 0.992076i | \(-0.540097\pi\) |
0.796345 | + | 0.604842i | \(0.206764\pi\) | |||||||
\(312\) | −25.6063 | + | 17.3648i | −1.44967 | + | 0.983088i | ||||
\(313\) | −1.97905 | + | 0.530285i | −0.111862 | + | 0.0299735i | −0.314316 | − | 0.949318i | \(-0.601775\pi\) |
0.202454 | + | 0.979292i | \(0.435108\pi\) | |||||||
\(314\) | 0.833271 | + | 10.6075i | 0.0470242 | + | 0.598614i | ||||
\(315\) | −11.5318 | + | 4.83121i | −0.649742 | + | 0.272208i | ||||
\(316\) | 3.92520 | + | 24.8296i | 0.220810 | + | 1.39677i | ||||
\(317\) | 23.4313 | − | 6.27840i | 1.31603 | − | 0.352630i | 0.468543 | − | 0.883441i | \(-0.344779\pi\) |
0.847491 | + | 0.530810i | \(0.178112\pi\) | |||||||
\(318\) | 10.2471 | − | 14.7215i | 0.574627 | − | 0.825541i | ||||
\(319\) | 1.52359 | + | 2.63893i | 0.0853046 | + | 0.147752i | ||||
\(320\) | −14.3510 | − | 10.6794i | −0.802244 | − | 0.596996i | ||||
\(321\) | −12.3546 | + | 8.86722i | −0.689566 | + | 0.494920i | ||||
\(322\) | −6.55355 | + | 2.31966i | −0.365215 | + | 0.129270i | ||||
\(323\) | 12.5988 | + | 12.5988i | 0.701015 | + | 0.701015i | ||||
\(324\) | 17.9925 | − | 0.520014i | 0.999583 | − | 0.0288896i | ||||
\(325\) | 24.9540 | − | 19.3494i | 1.38420 | − | 1.07331i | ||||
\(326\) | 17.0223 | + | 8.12227i | 0.942779 | + | 0.449851i | ||||
\(327\) | −27.5916 | − | 4.53409i | −1.52582 | − | 0.250736i | ||||
\(328\) | 2.63327 | + | 0.0701066i | 0.145398 | + | 0.00387099i | ||||
\(329\) | −3.44633 | + | 1.98974i | −0.190003 | + | 0.109698i | ||||
\(330\) | −1.55431 | − | 13.5271i | −0.0855622 | − | 0.744643i | ||||
\(331\) | −8.03183 | + | 13.9115i | −0.441469 | + | 0.764648i | −0.997799 | − | 0.0663143i | \(-0.978876\pi\) |
0.556329 | + | 0.830962i | \(0.312209\pi\) | |||||||
\(332\) | −10.1089 | + | 13.9051i | −0.554796 | + | 0.763143i | ||||
\(333\) | 2.06622 | + | 4.17407i | 0.113228 | + | 0.228737i | ||||
\(334\) | −0.732907 | − | 9.32984i | −0.0401029 | − | 0.510506i | ||||
\(335\) | −19.5528 | + | 3.94077i | −1.06828 | + | 0.215308i | ||||
\(336\) | −1.43163 | + | 12.8333i | −0.0781018 | + | 0.700115i | ||||
\(337\) | −5.35695 | − | 1.43539i | −0.291812 | − | 0.0781907i | 0.109943 | − | 0.993938i | \(-0.464933\pi\) |
−0.401755 | + | 0.915747i | \(0.631600\pi\) | |||||||
\(338\) | −37.3821 | − | 6.93400i | −2.03332 | − | 0.377160i | ||||
\(339\) | 5.62966 | − | 12.4498i | 0.305761 | − | 0.676180i | ||||
\(340\) | 4.90968 | + | 13.2170i | 0.266265 | + | 0.716794i | ||||
\(341\) | 12.2377i | 0.662708i | ||||||||
\(342\) | 0.346378 | + | 23.9744i | 0.0187300 | + | 1.29638i | ||||
\(343\) | 13.8727 | − | 13.8727i | 0.749053 | − | 0.749053i | ||||
\(344\) | 3.74199 | − | 12.6125i | 0.201754 | − | 0.680020i | ||||
\(345\) | −10.2083 | + | 0.367737i | −0.549595 | + | 0.0197983i | ||||
\(346\) | −0.0404039 | − | 0.0588064i | −0.00217213 | − | 0.00316145i | ||||
\(347\) | 5.59124 | + | 1.49817i | 0.300154 | + | 0.0804259i | 0.405753 | − | 0.913983i | \(-0.367009\pi\) |
−0.105599 | + | 0.994409i | \(0.533676\pi\) | |||||||
\(348\) | 0.0258382 | − | 4.24607i | 0.00138507 | − | 0.227614i | ||||
\(349\) | 11.7189 | − | 20.2977i | 0.627296 | − | 1.08651i | −0.360796 | − | 0.932645i | \(-0.617495\pi\) |
0.988092 | − | 0.153864i | \(-0.0491718\pi\) | |||||||
\(350\) | 0.625018 | − | 13.1644i | 0.0334086 | − | 0.703666i | ||||
\(351\) | 24.0015 | + | 22.3785i | 1.28110 | + | 1.19448i | ||||
\(352\) | −12.9883 | − | 5.39101i | −0.692278 | − | 0.287342i | ||||
\(353\) | −9.83716 | + | 2.63586i | −0.523579 | + | 0.140293i | −0.510922 | − | 0.859627i | \(-0.670696\pi\) |
−0.0126574 | + | 0.999920i | \(0.504029\pi\) | |||||||
\(354\) | 9.23905 | − | 7.79647i | 0.491050 | − | 0.414378i | ||||
\(355\) | −12.0790 | − | 24.3383i | −0.641089 | − | 1.29175i | ||||
\(356\) | −21.7483 | − | 26.8729i | −1.15266 | − | 1.42426i | ||||
\(357\) | 6.45079 | − | 7.87236i | 0.341412 | − | 0.416650i | ||||
\(358\) | −1.98056 | − | 5.59552i | −0.104676 | − | 0.295732i | ||||
\(359\) | 28.9907 | 1.53007 | 0.765037 | − | 0.643987i | \(-0.222721\pi\) | ||||
0.765037 | + | 0.643987i | \(0.222721\pi\) | |||||||
\(360\) | −7.65489 | + | 17.3610i | −0.403448 | + | 0.915003i | ||||
\(361\) | −12.9383 | −0.680964 | ||||||||
\(362\) | −10.2457 | − | 28.9463i | −0.538501 | − | 1.52139i | ||||
\(363\) | 2.94665 | + | 7.81126i | 0.154659 | + | 0.409985i | ||||
\(364\) | −18.2995 | + | 14.8098i | −0.959154 | + | 0.776245i | ||||
\(365\) | 33.0947 | + | 11.1408i | 1.73226 | + | 0.583135i | ||||
\(366\) | 19.0526 | + | 6.87450i | 0.995895 | + | 0.359336i | ||||
\(367\) | 18.2567 | − | 4.89186i | 0.952990 | − | 0.255353i | 0.251359 | − | 0.967894i | \(-0.419122\pi\) |
0.701631 | + | 0.712541i | \(0.252456\pi\) | |||||||
\(368\) | −4.79503 | + | 9.39724i | −0.249958 | + | 0.489865i | ||||
\(369\) | −0.549199 | − | 2.73949i | −0.0285902 | − | 0.142612i | ||||
\(370\) | −4.90883 | + | 0.0759745i | −0.255198 | + | 0.00394972i | ||||
\(371\) | 6.82403 | − | 11.8196i | 0.354286 | − | 0.613642i | ||||
\(372\) | 8.61615 | − | 14.7161i | 0.446727 | − | 0.762993i | ||||
\(373\) | 15.1765 | + | 4.06654i | 0.785811 | + | 0.210557i | 0.629345 | − | 0.777126i | \(-0.283323\pi\) |
0.156466 | + | 0.987683i | \(0.449990\pi\) | |||||||
\(374\) | 6.27669 | + | 9.13549i | 0.324560 | + | 0.472385i | ||||
\(375\) | 6.66979 | − | 18.1800i | 0.344427 | − | 0.938813i | ||||
\(376\) | −1.71771 | + | 5.78960i | −0.0885841 | + | 0.298576i | ||||
\(377\) | 5.47381 | − | 5.47381i | 0.281915 | − | 0.281915i | ||||
\(378\) | 13.6083 | − | 1.54946i | 0.699936 | − | 0.0796955i | ||||
\(379\) | 20.7390i | 1.06529i | 0.846339 | + | 0.532645i | \(0.178802\pi\) | ||||
−0.846339 | + | 0.532645i | \(0.821198\pi\) | |||||||
\(380\) | −22.9759 | − | 10.5297i | −1.17864 | − | 0.540162i | ||||
\(381\) | −0.202999 | − | 0.282835i | −0.0103999 | − | 0.0144901i | ||||
\(382\) | −12.6567 | − | 2.34769i | −0.647573 | − | 0.120118i | ||||
\(383\) | 12.5767 | + | 3.36991i | 0.642638 | + | 0.172194i | 0.565398 | − | 0.824818i | \(-0.308723\pi\) |
0.0772398 | + | 0.997013i | \(0.475389\pi\) | |||||||
\(384\) | 11.8230 | + | 15.6274i | 0.603342 | + | 0.797483i | ||||
\(385\) | −2.04696 | − | 10.1563i | −0.104323 | − | 0.517613i | ||||
\(386\) | 0.00190019 | + | 0.0241892i | 9.67169e−5 | + | 0.00123120i | ||||
\(387\) | −13.9254 | − | 0.891707i | −0.707868 | − | 0.0453280i | ||||
\(388\) | −18.4874 | − | 13.4401i | −0.938556 | − | 0.682319i | ||||
\(389\) | −10.0557 | + | 17.4170i | −0.509845 | + | 0.883078i | 0.490089 | + | 0.871672i | \(0.336964\pi\) |
−0.999935 | + | 0.0114061i | \(0.996369\pi\) | |||||||
\(390\) | −32.1717 | + | 12.7083i | −1.62908 | + | 0.643510i | ||||
\(391\) | 7.20123 | − | 4.15763i | 0.364182 | − | 0.210260i | ||||
\(392\) | 0.265434 | − | 9.96998i | 0.0134065 | − | 0.503560i | ||||
\(393\) | 12.8725 | + | 34.1236i | 0.649332 | + | 1.72131i | ||||
\(394\) | −1.14514 | − | 0.546406i | −0.0576911 | − | 0.0275276i | ||||
\(395\) | −1.76715 | + | 28.0495i | −0.0889152 | + | 1.41132i | ||||
\(396\) | −2.50816 | + | 14.7033i | −0.126040 | + | 0.738869i | ||||
\(397\) | 16.8381 | + | 16.8381i | 0.845079 | + | 0.845079i | 0.989514 | − | 0.144435i | \(-0.0461364\pi\) |
−0.144435 | + | 0.989514i | \(0.546136\pi\) | |||||||
\(398\) | −23.0845 | + | 8.17086i | −1.15712 | + | 0.409568i | ||||
\(399\) | 1.80187 | + | 18.1548i | 0.0902062 | + | 0.908879i | ||||
\(400\) | −13.0570 | − | 15.1498i | −0.652848 | − | 0.757489i | ||||
\(401\) | 2.31913 | + | 4.01685i | 0.115812 | + | 0.200592i | 0.918104 | − | 0.396340i | \(-0.129720\pi\) |
−0.802292 | + | 0.596932i | \(0.796386\pi\) | |||||||
\(402\) | 21.7718 | + | 1.84365i | 1.08588 | + | 0.0919529i | ||||
\(403\) | 30.0297 | − | 8.04643i | 1.49588 | − | 0.400821i | ||||
\(404\) | −2.66615 | + | 0.421481i | −0.132646 | + | 0.0209695i | ||||
\(405\) | 19.7594 | + | 3.81677i | 0.981850 | + | 0.189657i | ||||
\(406\) | −0.253025 | − | 3.22098i | −0.0125574 | − | 0.159855i | ||||
\(407\) | −3.72791 | + | 0.998892i | −0.184786 | + | 0.0495132i | ||||
\(408\) | −1.11585 | − | 15.4048i | −0.0552429 | − | 0.762652i | ||||
\(409\) | 14.1419 | − | 8.16483i | 0.699272 | − | 0.403725i | −0.107804 | − | 0.994172i | \(-0.534382\pi\) |
0.807076 | + | 0.590447i | \(0.201049\pi\) | |||||||
\(410\) | 2.85624 | + | 0.718142i | 0.141059 | + | 0.0354665i | ||||
\(411\) | 0.391567 | + | 3.94526i | 0.0193146 | + | 0.194605i | ||||
\(412\) | −2.91338 | + | 1.29610i | −0.143532 | + | 0.0638545i | ||||
\(413\) | 6.50437 | − | 6.50437i | 0.320059 | − | 0.320059i | ||||
\(414\) | 10.8493 | + | 2.73970i | 0.533213 | + | 0.134649i | ||||
\(415\) | −14.4186 | + | 12.7095i | −0.707781 | + | 0.623884i | ||||
\(416\) | −4.68888 | + | 35.4161i | −0.229891 | + | 1.73642i | ||||
\(417\) | 31.0592 | − | 11.7165i | 1.52098 | − | 0.573761i | ||||
\(418\) | −19.5352 | − | 3.62358i | −0.955498 | − | 0.177235i | ||||
\(419\) | 18.7522 | − | 10.8266i | 0.916103 | − | 0.528913i | 0.0337136 | − | 0.999432i | \(-0.489267\pi\) |
0.882390 | + | 0.470519i | \(0.155933\pi\) | |||||||
\(420\) | −4.68920 | + | 13.6543i | −0.228810 | + | 0.666264i | ||||
\(421\) | 15.3365 | + | 8.85456i | 0.747457 | + | 0.431545i | 0.824774 | − | 0.565462i | \(-0.191302\pi\) |
−0.0773170 | + | 0.997007i | \(0.524635\pi\) | |||||||
\(422\) | −18.1914 | − | 15.5415i | −0.885545 | − | 0.756550i | ||||
\(423\) | 6.39227 | + | 0.409327i | 0.310803 | + | 0.0199021i | ||||
\(424\) | −4.82620 | − | 20.1414i | −0.234381 | − | 0.978151i | ||||
\(425\) | 2.13668 | + | 15.6182i | 0.103644 | + | 0.757593i | ||||
\(426\) | 5.25018 | + | 29.2975i | 0.254372 | + | 1.41947i | ||||
\(427\) | 14.8868 | + | 3.98891i | 0.720424 | + | 0.193037i | ||||
\(428\) | −1.84060 | + | 17.4632i | −0.0889688 | + | 0.844116i | ||||
\(429\) | −22.0916 | + | 15.8558i | −1.06659 | + | 0.765523i | ||||
\(430\) | 7.15636 | − | 12.8504i | 0.345110 | − | 0.619702i | ||||
\(431\) | − | 1.66009i | − | 0.0799638i | −0.999200 | − | 0.0399819i | \(-0.987270\pi\) | ||
0.999200 | − | 0.0399819i | \(-0.0127300\pi\) | |||||||
\(432\) | 13.3682 | − | 15.9151i | 0.643179 | − | 0.765716i | ||||
\(433\) | 13.7959 | + | 13.7959i | 0.662991 | + | 0.662991i | 0.956084 | − | 0.293093i | \(-0.0946846\pi\) |
−0.293093 | + | 0.956084i | \(0.594685\pi\) | |||||||
\(434\) | 5.58783 | − | 11.7107i | 0.268225 | − | 0.562134i | ||||
\(435\) | 1.06283 | − | 4.62684i | 0.0509586 | − | 0.221840i | ||||
\(436\) | −25.0979 | + | 20.3117i | −1.20197 | + | 0.972756i | ||||
\(437\) | −3.85781 | + | 14.3975i | −0.184544 | + | 0.688728i | ||||
\(438\) | −31.3956 | − | 21.8533i | −1.50014 | − | 1.04419i | ||||
\(439\) | 10.1285 | − | 17.5430i | 0.483406 | − | 0.837283i | −0.516413 | − | 0.856340i | \(-0.672733\pi\) |
0.999818 | + | 0.0190568i | \(0.00606633\pi\) | |||||||
\(440\) | −12.8587 | − | 9.04727i | −0.613012 | − | 0.431312i | ||||
\(441\) | −10.3721 | + | 2.07935i | −0.493911 | + | 0.0990168i | ||||
\(442\) | 18.2903 | − | 21.4088i | 0.869980 | − | 1.01832i | ||||
\(443\) | −30.7161 | + | 8.23036i | −1.45937 | + | 0.391036i | −0.899271 | − | 0.437392i | \(-0.855902\pi\) |
−0.560096 | + | 0.828428i | \(0.689236\pi\) | |||||||
\(444\) | 5.18618 | + | 1.42351i | 0.246125 | + | 0.0675569i | ||||
\(445\) | −17.1827 | − | 34.6219i | −0.814540 | − | 1.64124i | ||||
\(446\) | −5.47743 | − | 7.97219i | −0.259364 | − | 0.377494i | ||||
\(447\) | −9.38113 | − | 24.8684i | −0.443712 | − | 1.17623i | ||||
\(448\) | 9.96743 | + | 11.0894i | 0.470917 | + | 0.523926i | ||||
\(449\) | − | 16.8095i | − | 0.793289i | −0.917972 | − | 0.396644i | \(-0.870175\pi\) | ||
0.917972 | − | 0.396644i | \(-0.129825\pi\) | |||||||
\(450\) | −12.5830 | + | 17.0783i | −0.593168 | + | 0.805079i | ||||
\(451\) | 2.31525 | 0.109021 | ||||||||
\(452\) | −6.41298 | − | 14.4151i | −0.301641 | − | 0.678028i | ||||
\(453\) | −25.9048 | − | 21.2270i | −1.21712 | − | 0.997332i | ||||
\(454\) | 16.0500 | + | 23.3602i | 0.753263 | + | 1.09635i | ||||
\(455\) | −23.5763 | + | 11.7008i | −1.10527 | + | 0.548544i | ||||
\(456\) | 20.9402 | + | 18.1115i | 0.980616 | + | 0.848149i | ||||
\(457\) | −1.25708 | − | 4.69150i | −0.0588039 | − | 0.219459i | 0.930271 | − | 0.366873i | \(-0.119572\pi\) |
−0.989075 | + | 0.147414i | \(0.952905\pi\) | |||||||
\(458\) | 11.3295 | + | 9.67917i | 0.529393 | + | 0.452278i | ||||
\(459\) | −15.6659 | + | 4.79079i | −0.731222 | + | 0.223615i | ||||
\(460\) | −7.52195 | + | 9.08548i | −0.350713 | + | 0.423613i | ||||
\(461\) | −13.4268 | − | 7.75196i | −0.625348 | − | 0.361045i | 0.153600 | − | 0.988133i | \(-0.450913\pi\) |
−0.778948 | + | 0.627088i | \(0.784247\pi\) | |||||||
\(462\) | −0.957647 | + | 11.3089i | −0.0445538 | + | 0.526138i | ||||
\(463\) | −17.7923 | − | 4.76743i | −0.826878 | − | 0.221561i | −0.179527 | − | 0.983753i | \(-0.557457\pi\) |
−0.647351 | + | 0.762192i | \(0.724123\pi\) | |||||||
\(464\) | −3.64175 | − | 3.28289i | −0.169064 | − | 0.152405i | ||||
\(465\) | 12.9874 | − | 13.9581i | 0.602277 | − | 0.647291i | ||||
\(466\) | 31.6756 | + | 15.1142i | 1.46735 | + | 0.700151i | ||||
\(467\) | −23.8801 | + | 23.8801i | −1.10504 | + | 1.10504i | −0.111248 | + | 0.993793i | \(0.535485\pi\) |
−0.993793 | + | 0.111248i | \(0.964515\pi\) | |||||||
\(468\) | 37.7291 | − | 3.51290i | 1.74403 | − | 0.162384i | ||||
\(469\) | 16.6255 | 0.767693 | ||||||||
\(470\) | −3.28503 | + | 5.89881i | −0.151527 | + | 0.272092i | ||||
\(471\) | 5.36926 | − | 11.8739i | 0.247402 | − | 0.547122i | ||||
\(472\) | 0.371510 | − | 13.9543i | 0.0171001 | − | 0.642298i | ||||
\(473\) | 2.99270 | − | 11.1689i | 0.137605 | − | 0.513548i | ||||
\(474\) | 10.4493 | − | 28.9601i | 0.479952 | − | 1.33018i | ||||
\(475\) | −22.5046 | − | 17.0880i | −1.03258 | − | 0.784053i | ||||
\(476\) | −1.83508 | − | 11.6081i | −0.0841106 | − | 0.532057i | ||||
\(477\) | −19.6878 | + | 9.74574i | −0.901441 | + | 0.446227i | ||||
\(478\) | −13.6902 | − | 11.6960i | −0.626175 | − | 0.534962i | ||||
\(479\) | 1.52595 | − | 2.64302i | 0.0697222 | − | 0.120762i | −0.829057 | − | 0.559164i | \(-0.811122\pi\) |
0.898779 | + | 0.438402i | \(0.144455\pi\) | |||||||
\(480\) | 9.09290 | + | 19.9329i | 0.415032 | + | 0.909807i | ||||
\(481\) | 4.90229 | + | 8.49102i | 0.223525 | + | 0.387157i | ||||
\(482\) | 4.73510 | − | 25.5276i | 0.215678 | − | 1.16275i | ||||
\(483\) | 8.40170 | + | 1.38064i | 0.382291 | + | 0.0628214i | ||||
\(484\) | 8.99880 | + | 3.45732i | 0.409036 | + | 0.157151i | ||||
\(485\) | −16.8978 | − | 19.1701i | −0.767288 | − | 0.870469i | ||||
\(486\) | −19.6132 | − | 10.0660i | −0.889671 | − | 0.456603i | ||||
\(487\) | 17.0521 | + | 17.0521i | 0.772703 | + | 0.772703i | 0.978578 | − | 0.205876i | \(-0.0660042\pi\) |
−0.205876 | + | 0.978578i | \(0.566004\pi\) | |||||||
\(488\) | 20.5589 | − | 11.1510i | 0.930659 | − | 0.504780i | ||||
\(489\) | −13.4692 | − | 18.7664i | −0.609096 | − | 0.848645i | ||||
\(490\) | 2.71900 | − | 10.8142i | 0.122832 | − | 0.488534i | ||||
\(491\) | −9.04476 | − | 15.6660i | −0.408184 | − | 0.706996i | 0.586502 | − | 0.809948i | \(-0.300505\pi\) |
−0.994686 | + | 0.102952i | \(0.967171\pi\) | |||||||
\(492\) | −2.78413 | − | 1.63009i | −0.125518 | − | 0.0734900i | ||||
\(493\) | 1.00020 | + | 3.73281i | 0.0450469 | + | 0.168117i | ||||
\(494\) | 3.95284 | + | 50.3193i | 0.177847 | + | 2.26397i | ||||
\(495\) | −6.31952 | + | 15.4325i | −0.284041 | + | 0.693638i | ||||
\(496\) | −6.07393 | − | 18.7308i | −0.272727 | − | 0.841036i | ||||
\(497\) | 5.86165 | + | 21.8760i | 0.262931 | + | 0.981271i | ||||
\(498\) | 19.0574 | − | 8.95137i | 0.853983 | − | 0.401121i | ||||
\(499\) | −14.6233 | + | 8.44276i | −0.654628 | + | 0.377950i | −0.790227 | − | 0.612814i | \(-0.790038\pi\) |
0.135599 | + | 0.990764i | \(0.456704\pi\) | |||||||
\(500\) | −10.5557 | − | 19.7124i | −0.472065 | − | 0.881563i | ||||
\(501\) | −4.72255 | + | 10.4438i | −0.210988 | + | 0.466593i | ||||
\(502\) | −21.1254 | + | 7.47742i | −0.942871 | + | 0.333733i | ||||
\(503\) | 20.1568 | − | 20.1568i | 0.898749 | − | 0.898749i | −0.0965765 | − | 0.995326i | \(-0.530789\pi\) |
0.995326 | + | 0.0965765i | \(0.0307892\pi\) | |||||||
\(504\) | 9.11381 | − | 12.9249i | 0.405961 | − | 0.575723i | ||||
\(505\) | −3.01190 | − | 0.189754i | −0.134028 | − | 0.00844393i | ||||
\(506\) | −3.99313 | + | 8.36862i | −0.177516 | + | 0.372031i | ||||
\(507\) | 36.0170 | + | 29.5132i | 1.59957 | + | 1.31073i | ||||
\(508\) | −0.399788 | − | 0.0421372i | −0.0177377 | − | 0.00186953i | ||||
\(509\) | 18.5029 | + | 32.0480i | 0.820127 | + | 1.42050i | 0.905587 | + | 0.424160i | \(0.139431\pi\) |
−0.0854599 | + | 0.996342i | \(0.527236\pi\) | |||||||
\(510\) | 2.53609 | − | 17.0810i | 0.112300 | − | 0.756359i | ||||
\(511\) | −25.2069 | − | 14.5532i | −1.11509 | − | 0.643795i | ||||
\(512\) | 22.5553 | + | 1.80491i | 0.996814 | + | 0.0797663i | ||||
\(513\) | 13.7844 | − | 25.9292i | 0.608597 | − | 1.14480i | ||||
\(514\) | 6.65387 | − | 0.522695i | 0.293489 | − | 0.0230551i | ||||
\(515\) | −3.49478 | + | 0.704357i | −0.153998 | + | 0.0310377i | ||||
\(516\) | −11.4624 | + | 11.3238i | −0.504606 | + | 0.498502i | ||||
\(517\) | −1.37376 | + | 5.12695i | −0.0604180 | + | 0.225483i | ||||
\(518\) | 4.02349 | + | 0.746317i | 0.176782 | + | 0.0327913i | ||||
\(519\) | 0.00863048 | + | 0.0869569i | 0.000378836 | + | 0.00381699i | ||||
\(520\) | −13.7461 | + | 37.5021i | −0.602806 | + | 1.64458i | ||||
\(521\) | 23.4729 | 1.02837 | 0.514184 | − | 0.857680i | \(-0.328095\pi\) | ||||
0.514184 | + | 0.857680i | \(0.328095\pi\) | |||||||
\(522\) | −2.53489 | + | 4.54082i | −0.110949 | + | 0.198746i | ||||
\(523\) | 3.82420 | + | 3.82420i | 0.167221 | + | 0.167221i | 0.785757 | − | 0.618536i | \(-0.212274\pi\) |
−0.618536 | + | 0.785757i | \(0.712274\pi\) | |||||||
\(524\) | 39.3114 | + | 15.1034i | 1.71733 | + | 0.659794i | ||||
\(525\) | −8.44379 | + | 13.7564i | −0.368517 | + | 0.600380i | ||||
\(526\) | 2.45379 | + | 3.57140i | 0.106990 | + | 0.155721i | ||||
\(527\) | −4.01690 | + | 14.9913i | −0.174979 | + | 0.653030i | ||||
\(528\) | 10.7533 | + | 13.4538i | 0.467978 | + | 0.585500i | ||||
\(529\) | −13.8943 | − | 8.02186i | −0.604099 | − | 0.348777i | ||||
\(530\) | −0.358348 | − | 23.1534i | −0.0155656 | − | 1.00572i | ||||
\(531\) | −14.5171 | + | 2.91032i | −0.629990 | + | 0.126297i | ||||
\(532\) | 17.0395 | + | 12.3875i | 0.738754 | + | 0.537066i | ||||
\(533\) | −1.52230 | − | 5.68131i | −0.0659382 | − | 0.246085i | ||||
\(534\) | 7.46852 | + | 41.6765i | 0.323195 | + | 1.80352i | ||||
\(535\) | −6.26361 | + | 18.6066i | −0.270799 | + | 0.804434i | ||||
\(536\) | 18.3087 | − | 17.3591i | 0.790815 | − | 0.749798i | ||||
\(537\) | −1.17881 | + | 7.17349i | −0.0508695 | + | 0.309559i | ||||
\(538\) | −17.5280 | + | 6.20413i | −0.755687 | + | 0.267479i | ||||
\(539\) | − | 8.76589i | − | 0.377573i | ||||||
\(540\) | 18.4648 | − | 14.1085i | 0.794600 | − | 0.607133i | ||||
\(541\) | 1.74258i | 0.0749194i | 0.999298 | + | 0.0374597i | \(0.0119266\pi\) | ||||
−0.999298 | + | 0.0374597i | \(0.988073\pi\) | |||||||
\(542\) | −4.44283 | − | 12.5520i | −0.190836 | − | 0.539153i | ||||
\(543\) | −6.09815 | + | 37.1094i | −0.261697 | + | 1.59252i | ||||
\(544\) | −14.1412 | − | 10.8673i | −0.606299 | − | 0.465931i | ||||
\(545\) | −32.3351 | + | 16.0478i | −1.38508 | + | 0.687411i | ||||
\(546\) | 28.3802 | − | 5.08580i | 1.21456 | − | 0.217652i | ||||
\(547\) | 1.65798 | + | 6.18765i | 0.0708899 | + | 0.264565i | 0.992270 | − | 0.124098i | \(-0.0396037\pi\) |
−0.921380 | + | 0.388663i | \(0.872937\pi\) | |||||||
\(548\) | 3.70287 | + | 2.69194i | 0.158179 | + | 0.114994i | ||||
\(549\) | −16.3844 | − | 18.6263i | −0.699271 | − | 0.794953i | ||||
\(550\) | −11.8263 | − | 13.0052i | −0.504275 | − | 0.554545i | ||||
\(551\) | −5.99918 | − | 3.46363i | −0.255574 | − | 0.147555i | ||||
\(552\) | 10.6939 | − | 7.25201i | 0.455162 | − | 0.308666i | ||||
\(553\) | 6.06317 | − | 22.6281i | 0.257832 | − | 0.962244i | ||||
\(554\) | 36.8508 | − | 25.3190i | 1.56564 | − | 1.07570i | ||||
\(555\) | 5.31207 | + | 2.81698i | 0.225485 | + | 0.119574i | ||||
\(556\) | 13.7471 | − | 35.7811i | 0.583005 | − | 1.51746i | ||||
\(557\) | −0.543503 | − | 0.543503i | −0.0230289 | − | 0.0230289i | 0.695499 | − | 0.718527i | \(-0.255184\pi\) |
−0.718527 | + | 0.695499i | \(0.755184\pi\) | |||||||
\(558\) | −17.9346 | + | 10.7029i | −0.759231 | + | 0.453091i | ||||
\(559\) | −29.3748 | −1.24242 | ||||||||
\(560\) | 8.17390 | + | 14.5291i | 0.345410 | + | 0.613965i | ||||
\(561\) | −1.34073 | − | 13.5086i | −0.0566058 | − | 0.570336i | ||||
\(562\) | −3.72975 | + | 20.1076i | −0.157330 | + | 0.848187i | ||||
\(563\) | 10.9747 | − | 40.9580i | 0.462526 | − | 1.72617i | −0.202436 | − | 0.979295i | \(-0.564886\pi\) |
0.664963 | − | 0.746877i | \(-0.268447\pi\) | |||||||
\(564\) | 5.26169 | − | 5.19804i | 0.221557 | − | 0.218877i | ||||
\(565\) | −3.48508 | − | 17.2918i | −0.146618 | − | 0.727470i | ||||
\(566\) | 0.00966158 | + | 0.122991i | 0.000406106 | + | 0.00516970i | ||||
\(567\) | −15.5167 | − | 6.37268i | −0.651642 | − | 0.267627i | ||||
\(568\) | 29.2963 | + | 17.9704i | 1.22925 | + | 0.754023i | ||||
\(569\) | 20.9343 | + | 12.0864i | 0.877613 | + | 0.506690i | 0.869871 | − | 0.493280i | \(-0.164202\pi\) |
0.00774211 | + | 0.999970i | \(0.497536\pi\) | |||||||
\(570\) | 18.4359 | + | 24.8650i | 0.772195 | + | 1.04148i | ||||
\(571\) | −6.54126 | − | 11.3298i | −0.273743 | − | 0.474137i | 0.696074 | − | 0.717970i | \(-0.254928\pi\) |
−0.969817 | + | 0.243833i | \(0.921595\pi\) | |||||||
\(572\) | −3.29124 | + | 31.2265i | −0.137614 | + | 1.30564i | ||||
\(573\) | 12.1945 | + | 9.99246i | 0.509433 | + | 0.417441i | ||||
\(574\) | −2.21555 | − | 1.05716i | −0.0924754 | − | 0.0441251i | ||||
\(575\) | −10.4215 | + | 8.08084i | −0.434605 | + | 0.336994i | ||||
\(576\) | −3.45875 | − | 23.7495i | −0.144114 | − | 0.989561i | ||||
\(577\) | 14.7673 | − | 14.7673i | 0.614769 | − | 0.614769i | −0.329416 | − | 0.944185i | \(-0.606852\pi\) |
0.944185 | + | 0.329416i | \(0.106852\pi\) | |||||||
\(578\) | −3.33160 | − | 9.41251i | −0.138576 | − | 0.391509i | ||||
\(579\) | 0.0122440 | − | 0.0270772i | 0.000508844 | − | 0.00112529i | ||||
\(580\) | −3.17379 | − | 4.46953i | −0.131785 | − | 0.185587i | ||||
\(581\) | 13.8744 | − | 8.01039i | 0.575607 | − | 0.332327i | ||||
\(582\) | 11.9012 | + | 25.3376i | 0.493321 | + | 1.05028i | ||||
\(583\) | −4.71146 | − | 17.5834i | −0.195129 | − | 0.728231i | ||||
\(584\) | −42.9543 | + | 10.2925i | −1.77746 | + | 0.425909i | ||||
\(585\) | 42.0244 | + | 5.36023i | 1.73749 | + | 0.221618i | ||||
\(586\) | −2.36764 | + | 0.185990i | −0.0978061 | + | 0.00768317i | ||||
\(587\) | 6.82454 | + | 25.4695i | 0.281679 | + | 1.05124i | 0.951232 | + | 0.308476i | \(0.0998188\pi\) |
−0.669553 | + | 0.742764i | \(0.733514\pi\) | |||||||
\(588\) | −6.17176 | + | 10.5412i | −0.254519 | + | 0.434710i | ||||
\(589\) | −13.9102 | − | 24.0932i | −0.573160 | − | 0.992742i | ||||
\(590\) | 3.80558 | − | 15.1358i | 0.156673 | − | 0.623131i | ||||
\(591\) | 0.906105 | + | 1.26246i | 0.0372722 | + | 0.0519308i | ||||
\(592\) | 5.21009 | − | 3.37916i | 0.214133 | − | 0.138883i | ||||
\(593\) | 13.7155 | + | 13.7155i | 0.563229 | + | 0.563229i | 0.930223 | − | 0.366994i | \(-0.119613\pi\) |
−0.366994 | + | 0.930223i | \(0.619613\pi\) | |||||||
\(594\) | 11.3731 | − | 14.2958i | 0.466644 | − | 0.586564i | ||||
\(595\) | 0.826164 | − | 13.1134i | 0.0338694 | − | 0.537598i | ||||
\(596\) | −28.6491 | − | 11.0069i | −1.17351 | − | 0.450861i | ||||
\(597\) | 29.5945 | + | 4.86324i | 1.21122 | + | 0.199039i | ||||
\(598\) | 23.1610 | + | 4.29613i | 0.947124 | + | 0.175682i | ||||
\(599\) | −10.0286 | − | 17.3700i | −0.409757 | − | 0.709721i | 0.585105 | − | 0.810958i | \(-0.301053\pi\) |
−0.994862 | + | 0.101237i | \(0.967720\pi\) | |||||||
\(600\) | 5.06480 | + | 23.9656i | 0.206769 | + | 0.978390i | ||||
\(601\) | 3.52325 | − | 6.10245i | 0.143716 | − | 0.248924i | −0.785177 | − | 0.619272i | \(-0.787428\pi\) |
0.928893 | + | 0.370347i | \(0.120761\pi\) | |||||||
\(602\) | −7.96366 | + | 9.32150i | −0.324575 | + | 0.379916i | ||||
\(603\) | −22.2727 | − | 14.8338i | −0.907014 | − | 0.604078i | ||||
\(604\) | −38.1977 | + | 6.03851i | −1.55424 | + | 0.245704i | ||||
\(605\) | 8.97667 | + | 5.96521i | 0.364954 | + | 0.242520i | ||||
\(606\) | 3.10968 | + | 1.12202i | 0.126322 | + | 0.0455791i | ||||
\(607\) | 4.18949 | − | 15.6354i | 0.170046 | − | 0.634621i | −0.827296 | − | 0.561766i | \(-0.810122\pi\) |
0.997343 | − | 0.0728555i | \(-0.0232112\pi\) | |||||||
\(608\) | 31.6987 | − | 4.14972i | 1.28555 | − | 0.168293i | ||||
\(609\) | −1.63039 | + | 3.60555i | −0.0660667 | + | 0.146104i | ||||
\(610\) | 25.1502 | − | 7.15791i | 1.01830 | − | 0.289815i | ||||
\(611\) | 13.4841 | 0.545509 | ||||||||
\(612\) | −7.89872 | + | 17.1884i | −0.319287 | + | 0.694799i | ||||
\(613\) | −7.67348 | + | 7.67348i | −0.309929 | + | 0.309929i | −0.844882 | − | 0.534953i | \(-0.820329\pi\) |
0.534953 | + | 0.844882i | \(0.320329\pi\) | |||||||
\(614\) | −7.44591 | + | 15.6048i | −0.300493 | + | 0.629760i | ||||
\(615\) | −2.64073 | − | 2.45709i | −0.106484 | − | 0.0990793i | ||||
\(616\) | 9.01683 | + | 9.51008i | 0.363298 | + | 0.383172i | ||||
\(617\) | −39.2667 | − | 10.5215i | −1.58082 | − | 0.423579i | −0.641640 | − | 0.767006i | \(-0.721746\pi\) |
−0.939180 | + | 0.343426i | \(0.888412\pi\) | |||||||
\(618\) | 3.89139 | + | 0.329526i | 0.156535 | + | 0.0132555i | ||||
\(619\) | 5.12129 | + | 2.95678i | 0.205842 | + | 0.118843i | 0.599378 | − | 0.800466i | \(-0.295415\pi\) |
−0.393535 | + | 0.919309i | \(0.628748\pi\) | |||||||
\(620\) | −2.06353 | − | 21.9183i | −0.0828734 | − | 0.880258i | ||||
\(621\) | −10.0237 | − | 9.34588i | −0.402236 | − | 0.375037i | ||||
\(622\) | −12.5463 | + | 14.6855i | −0.503063 | + | 0.588837i | ||||
\(623\) | 8.33834 | + | 31.1191i | 0.334069 | + | 1.24676i | ||||
\(624\) | 25.9433 | − | 35.2332i | 1.03856 | − | 1.41046i | ||||
\(625\) | −6.71468 | − | 24.0814i | −0.268587 | − | 0.963255i | ||||
\(626\) | 2.38817 | − | 1.64083i | 0.0954504 | − | 0.0655808i | ||||
\(627\) | 18.8218 | + | 15.4230i | 0.751672 | + | 0.615937i | ||||
\(628\) | −6.11634 | − | 13.7483i | −0.244069 | − | 0.548617i | ||||
\(629\) | −4.89460 | −0.195160 | ||||||||
\(630\) | 13.0940 | − | 11.8824i | 0.521678 | − | 0.473407i | ||||
\(631\) | 6.14169i | 0.244497i | 0.992500 | + | 0.122248i | \(0.0390104\pi\) | ||||
−0.992500 | + | 0.122248i | \(0.960990\pi\) | |||||||
\(632\) | −16.9495 | − | 31.2497i | −0.674216 | − | 1.24305i | ||||
\(633\) | 10.3428 | + | 27.4176i | 0.411089 | + | 1.08975i | ||||
\(634\) | −28.2752 | + | 19.4269i | −1.12295 | + | 0.771541i | ||||
\(635\) | −0.425964 | − | 0.143394i | −0.0169039 | − | 0.00569040i | ||||
\(636\) | −6.71426 | + | 24.4616i | −0.266238 | + | 0.969965i | ||||
\(637\) | −21.5103 | + | 5.76367i | −0.852270 | + | 0.228365i | ||||
\(638\) | −3.27645 | − | 2.79918i | −0.129716 | − | 0.110821i | ||||
\(639\) | 11.6657 | − | 34.5366i | 0.461490 | − | 1.36625i | ||||
\(640\) | 24.1716 | + | 7.46544i | 0.955467 | + | 0.295098i | ||||
\(641\) | −8.02926 | + | 13.9071i | −0.317137 | + | 0.549297i | −0.979889 | − | 0.199542i | \(-0.936055\pi\) |
0.662753 | + | 0.748838i | \(0.269388\pi\) | |||||||
\(642\) | 12.2864 | − | 17.6514i | 0.484907 | − | 0.696643i | ||||
\(643\) | −0.153675 | + | 0.573521i | −0.00606033 | + | 0.0226175i | −0.968890 | − | 0.247493i | \(-0.920393\pi\) |
0.962829 | + | 0.270110i | \(0.0870601\pi\) | |||||||
\(644\) | 7.64237 | − | 6.18498i | 0.301151 | − | 0.243722i | ||||
\(645\) | −15.2666 | + | 9.56301i | −0.601121 | + | 0.376543i | ||||
\(646\) | −22.7414 | − | 10.8511i | −0.894747 | − | 0.426932i | ||||
\(647\) | 1.89951 | + | 1.89951i | 0.0746776 | + | 0.0746776i | 0.743459 | − | 0.668781i | \(-0.233184\pi\) |
−0.668781 | + | 0.743459i | \(0.733184\pi\) | |||||||
\(648\) | −23.7416 | + | 9.18356i | −0.932657 | + | 0.360764i | ||||
\(649\) | − | 12.2690i | − | 0.481600i | ||||||
\(650\) | −24.1372 | + | 37.5712i | −0.946739 | + | 1.47366i | ||||
\(651\) | −12.9106 | + | 9.26630i | −0.506007 | + | 0.363175i | ||||
\(652\) | −26.5263 | − | 2.79584i | −1.03885 | − | 0.109494i | ||||
\(653\) | −41.6385 | − | 11.1570i | −1.62944 | − | 0.436607i | −0.675685 | − | 0.737191i | \(-0.736152\pi\) |
−0.953756 | + | 0.300583i | \(0.902819\pi\) | |||||||
\(654\) | 38.9237 | − | 6.97521i | 1.52204 | − | 0.272752i | ||||
\(655\) | 39.2148 | + | 26.0591i | 1.53225 | + | 1.01821i | ||||
\(656\) | −3.54367 | + | 1.14913i | −0.138357 | + | 0.0448658i | ||||
\(657\) | 20.7841 | + | 41.9869i | 0.810866 | + | 1.63806i | ||||
\(658\) | 3.65561 | − | 4.27891i | 0.142511 | − | 0.166809i | ||||
\(659\) | −0.357115 | − | 0.206180i | −0.0139112 | − | 0.00803165i | 0.493028 | − | 0.870013i | \(-0.335890\pi\) |
−0.506939 | + | 0.861982i | \(0.669223\pi\) | |||||||
\(660\) | 8.45533 | + | 17.3004i | 0.329123 | + | 0.673418i | ||||
\(661\) | −9.12675 | + | 5.26933i | −0.354990 | + | 0.204953i | −0.666881 | − | 0.745165i | \(-0.732371\pi\) |
0.311891 | + | 0.950118i | \(0.399038\pi\) | |||||||
\(662\) | 4.14318 | − | 22.3364i | 0.161029 | − | 0.868131i | ||||
\(663\) | −32.2669 | + | 12.1721i | −1.25314 | + | 0.472724i | ||||
\(664\) | 6.91523 | − | 23.3080i | 0.268363 | − | 0.904526i | ||||
\(665\) | 15.5743 | + | 17.6687i | 0.603946 | + | 0.685162i | ||||
\(666\) | −4.72428 | − | 4.58971i | −0.183062 | − | 0.177848i | ||||
\(667\) | −2.28601 | + | 2.28601i | −0.0885148 | + | 0.0885148i | ||||
\(668\) | 5.37965 | + | 12.0924i | 0.208145 | + | 0.467868i | ||||
\(669\) | 1.17001 | + | 11.7885i | 0.0452351 | + | 0.455769i | ||||
\(670\) | 24.2075 | − | 14.4803i | 0.935218 | − | 0.559422i | ||||
\(671\) | 17.8023 | − | 10.2782i | 0.687252 | − | 0.396785i | ||||
\(672\) | −4.14719 | − | 17.7845i | −0.159981 | − | 0.686052i | ||||
\(673\) | 18.5543 | − | 4.97162i | 0.715217 | − | 0.191642i | 0.117180 | − | 0.993111i | \(-0.462614\pi\) |
0.598037 | + | 0.801469i | \(0.295948\pi\) | |||||||
\(674\) | 7.81903 | − | 0.614225i | 0.301178 | − | 0.0236591i | ||||
\(675\) | 23.5858 | − | 10.8953i | 0.907820 | − | 0.419361i | ||||
\(676\) | 53.1085 | − | 8.39570i | 2.04264 | − | 0.322912i | ||||
\(677\) | −26.3877 | + | 7.07056i | −1.01416 | + | 0.271744i | −0.727367 | − | 0.686248i | \(-0.759256\pi\) |
−0.286794 | + | 0.957992i | \(0.592590\pi\) | |||||||
\(678\) | −1.63046 | + | 19.2542i | −0.0626173 | + | 0.739452i | ||||
\(679\) | 10.6501 | + | 18.4466i | 0.408714 | + | 0.707914i | ||||
\(680\) | −12.7823 | − | 15.3037i | −0.490177 | − | 0.586870i | ||||
\(681\) | −3.42836 | − | 34.5426i | −0.131375 | − | 1.32368i | ||||
\(682\) | −5.77472 | − | 16.3149i | −0.221126 | − | 0.624729i | ||||
\(683\) | −7.77187 | − | 7.77187i | −0.297382 | − | 0.297382i | 0.542605 | − | 0.839988i | \(-0.317438\pi\) |
−0.839988 | + | 0.542605i | \(0.817438\pi\) | |||||||
\(684\) | −11.7748 | − | 31.7983i | −0.450221 | − | 1.21584i | ||||
\(685\) | 3.38448 | + | 3.83961i | 0.129314 | + | 0.146704i | ||||
\(686\) | −11.9483 | + | 25.0408i | −0.456189 | + | 0.956061i | ||||
\(687\) | −6.44143 | − | 17.0755i | −0.245756 | − | 0.651473i | ||||
\(688\) | 0.962894 | + | 18.5803i | 0.0367100 | + | 0.708367i | ||||
\(689\) | −40.0495 | + | 23.1226i | −1.52576 | + | 0.880900i | ||||
\(690\) | 13.4358 | − | 5.30734i | 0.511492 | − | 0.202047i | ||||
\(691\) | −6.39590 | + | 11.0780i | −0.243312 | + | 0.421428i | −0.961656 | − | 0.274260i | \(-0.911567\pi\) |
0.718344 | + | 0.695688i | \(0.244900\pi\) | |||||||
\(692\) | 0.0816146 | + | 0.0593328i | 0.00310252 | + | 0.00225549i | ||||
\(693\) | 7.70511 | − | 11.5691i | 0.292693 | − | 0.439474i | ||||
\(694\) | −8.16101 | + | 0.641089i | −0.309788 | + | 0.0243354i | ||||
\(695\) | 23.7189 | − | 35.6932i | 0.899710 | − | 1.35392i | ||||
\(696\) | 1.96919 | + | 5.67291i | 0.0746420 | + | 0.215031i | ||||
\(697\) | 2.83619 | + | 0.759956i | 0.107429 | + | 0.0287854i | ||||
\(698\) | −6.04512 | + | 32.5900i | −0.228811 | + | 1.23355i | ||||
\(699\) | −25.0638 | − | 34.9211i | −0.948001 | − | 1.32084i | ||||
\(700\) | 5.37875 | + | 17.8452i | 0.203298 | + | 0.674486i | ||||
\(701\) | 47.5661i | 1.79655i | 0.439437 | + | 0.898273i | \(0.355178\pi\) | ||||
−0.439437 | + | 0.898273i | \(0.644822\pi\) | |||||||
\(702\) | −42.5579 | − | 18.5084i | −1.60624 | − | 0.698556i | ||||
\(703\) | 6.20398 | − | 6.20398i | 0.233988 | − | 0.233988i | ||||
\(704\) | 19.8594 | + | 1.05820i | 0.748481 | + | 0.0398824i | ||||
\(705\) | 7.00793 | − | 4.38978i | 0.263934 | − | 0.165329i | ||||
\(706\) | 11.8707 | − | 8.15599i | 0.446761 | − | 0.306955i | ||||
\(707\) | 2.42976 | + | 0.651052i | 0.0913805 | + | 0.0244853i | ||||
\(708\) | −8.63818 | + | 14.7537i | −0.324643 | + | 0.554478i | ||||
\(709\) | 4.50720 | − | 7.80669i | 0.169271 | − | 0.293187i | −0.768893 | − | 0.639378i | \(-0.779192\pi\) |
0.938164 | + | 0.346191i | \(0.112525\pi\) | |||||||
\(710\) | 27.5881 | + | 26.7472i | 1.03536 | + | 1.00380i | ||||
\(711\) | −28.3122 | + | 24.9045i | −1.06179 | + | 0.933990i | ||||
\(712\) | 41.6748 | + | 25.5634i | 1.56183 | + | 0.958029i | ||||
\(713\) | −12.5412 | + | 3.36041i | −0.469672 | + | 0.125848i | ||||
\(714\) | −4.88516 | + | 13.5392i | −0.182822 | + | 0.506690i | ||||
\(715\) | −11.2001 | + | 33.2711i | −0.418862 | + | 1.24427i | ||||
\(716\) | 5.28082 | + | 6.52516i | 0.197354 | + | 0.243857i | ||||
\(717\) | 7.78361 | + | 20.6335i | 0.290684 | + | 0.770573i | ||||
\(718\) | −38.6495 | + | 13.6802i | −1.44238 | + | 0.510539i | ||||
\(719\) | −22.4101 | −0.835757 | −0.417878 | − | 0.908503i | \(-0.637226\pi\) | ||||
−0.417878 | + | 0.908503i | \(0.637226\pi\) | |||||||
\(720\) | 2.01294 | − | 26.7572i | 0.0750179 | − | 0.997182i | ||||
\(721\) | 2.97157 | 0.110667 | ||||||||
\(722\) | 17.2489 | − | 6.10533i | 0.641938 | − | 0.227217i | ||||
\(723\) | −20.1540 | + | 24.5954i | −0.749536 | + | 0.914713i | ||||
\(724\) | 27.3184 | + | 33.7555i | 1.01528 | + | 1.25451i | ||||
\(725\) | −2.37403 | − | 5.65032i | −0.0881692 | − | 0.209848i | ||||
\(726\) | −7.61435 | − | 9.02324i | −0.282595 | − | 0.334884i | ||||
\(727\) | 26.1770 | − | 7.01411i | 0.970852 | − | 0.260139i | 0.261665 | − | 0.965159i | \(-0.415729\pi\) |
0.709188 | + | 0.705020i | \(0.249062\pi\) | |||||||
\(728\) | 17.4078 | − | 28.3791i | 0.645175 | − | 1.05180i | ||||
\(729\) | 15.1014 | + | 22.3818i | 0.559313 | + | 0.828957i | ||||
\(730\) | −49.3778 | + | 0.764226i | −1.82756 | + | 0.0282853i | ||||
\(731\) | 7.33217 | − | 12.6997i | 0.271190 | − | 0.469715i | ||||
\(732\) | −28.6442 | − | 0.174305i | −1.05872 | − | 0.00644251i | ||||
\(733\) | −0.910889 | − | 0.244072i | −0.0336445 | − | 0.00901501i | 0.241958 | − | 0.970287i | \(-0.422211\pi\) |
−0.275602 | + | 0.961272i | \(0.588877\pi\) | |||||||
\(734\) | −22.0308 | + | 15.1366i | −0.813171 | + | 0.558702i | ||||
\(735\) | −9.30291 | + | 9.99820i | −0.343143 | + | 0.368789i | ||||
\(736\) | 1.95820 | − | 14.7908i | 0.0721803 | − | 0.545194i | ||||
\(737\) | 15.6800 | − | 15.6800i | 0.577582 | − | 0.577582i | ||||
\(738\) | 2.02488 | + | 3.39304i | 0.0745370 | + | 0.124899i | ||||
\(739\) | − | 1.34360i | − | 0.0494250i | −0.999695 | − | 0.0247125i | \(-0.992133\pi\) | ||
0.999695 | − | 0.0247125i | \(-0.00786703\pi\) | |||||||
\(740\) | 6.50842 | − | 2.41766i | 0.239254 | − | 0.0888751i | ||||
\(741\) | 25.4705 | − | 56.3271i | 0.935682 | − | 2.06923i | ||||
\(742\) | −3.52014 | + | 18.9776i | −0.129229 | + | 0.696688i | ||||
\(743\) | 36.1760 | + | 9.69332i | 1.32717 | + | 0.355613i | 0.851658 | − | 0.524097i | \(-0.175597\pi\) |
0.475509 | + | 0.879711i | \(0.342264\pi\) | |||||||
\(744\) | −4.54253 | + | 23.6847i | −0.166537 | + | 0.868325i | ||||
\(745\) | −28.5786 | − | 18.9912i | −1.04704 | − | 0.695782i | ||||
\(746\) | −22.1517 | + | 1.74013i | −0.811033 | + | 0.0637108i | ||||
\(747\) | −25.7343 | − | 1.64788i | −0.941568 | − | 0.0602929i | ||||
\(748\) | −12.6787 | − | 9.21728i | −0.463580 | − | 0.337017i | ||||
\(749\) | 8.18214 | − | 14.1719i | 0.298969 | − | 0.517829i | ||||
\(750\) | −0.313141 | + | 27.3843i | −0.0114343 | + | 0.999935i | ||||
\(751\) | 12.8498 | − | 7.41882i | 0.468895 | − | 0.270716i | −0.246882 | − | 0.969045i | \(-0.579406\pi\) |
0.715777 | + | 0.698329i | \(0.246073\pi\) | |||||||
\(752\) | −0.442004 | − | 8.52904i | −0.0161182 | − | 0.311022i | ||||
\(753\) | 27.0829 | + | 4.45050i | 0.986955 | + | 0.162185i | ||||
\(754\) | −4.71451 | + | 9.88047i | −0.171692 | + | 0.359826i | ||||
\(755\) | −43.1511 | − | 2.71858i | −1.57043 | − | 0.0989393i | ||||
\(756\) | −17.4110 | + | 8.48717i | −0.633230 | + | 0.308675i | ||||
\(757\) | −0.167994 | − | 0.167994i | −0.00610584 | − | 0.00610584i | 0.704047 | − | 0.710153i | \(-0.251374\pi\) |
−0.710153 | + | 0.704047i | \(0.751374\pi\) | |||||||
\(758\) | −9.78631 | − | 27.6485i | −0.355455 | − | 1.00424i | ||||
\(759\) | 9.22606 | − | 6.62180i | 0.334885 | − | 0.240356i | ||||
\(760\) | 35.5994 | + | 3.19595i | 1.29133 | + | 0.115929i | ||||
\(761\) | −4.19107 | − | 7.25915i | −0.151926 | − | 0.263144i | 0.780009 | − | 0.625768i | \(-0.215214\pi\) |
−0.931936 | + | 0.362624i | \(0.881881\pi\) | |||||||
\(762\) | 0.404095 | + | 0.281275i | 0.0146388 | + | 0.0101895i | ||||
\(763\) | 29.0636 | − | 7.78757i | 1.05217 | − | 0.281929i | ||||
\(764\) | 17.9813 | − | 2.84259i | 0.650540 | − | 0.102841i | ||||
\(765\) | −12.8070 | + | 16.8306i | −0.463038 | + | 0.608511i | ||||
\(766\) | −18.3570 | + | 1.44203i | −0.663264 | + | 0.0521028i | ||||
\(767\) | −30.1065 | + | 8.06700i | −1.08708 | + | 0.291282i | ||||
\(768\) | −23.1363 | − | 15.2549i | −0.834860 | − | 0.550462i | ||||
\(769\) | −29.8212 | + | 17.2173i | −1.07538 | + | 0.620870i | −0.929646 | − | 0.368454i | \(-0.879887\pi\) |
−0.145733 | + | 0.989324i | \(0.546554\pi\) | |||||||
\(770\) | 7.52149 | + | 12.5741i | 0.271056 | + | 0.453139i | ||||
\(771\) | −7.44829 | − | 3.36804i | −0.268244 | − | 0.121297i | ||||
\(772\) | −0.0139477 | − | 0.0313515i | −0.000501987 | − | 0.00112837i | ||||
\(773\) | −11.8101 | + | 11.8101i | −0.424780 | + | 0.424780i | −0.886846 | − | 0.462066i | \(-0.847108\pi\) |
0.462066 | + | 0.886846i | \(0.347108\pi\) | |||||||
\(774\) | 18.9856 | − | 5.38232i | 0.682425 | − | 0.193464i | ||||
\(775\) | 3.08914 | − | 24.4191i | 0.110965 | − | 0.877160i | ||||
\(776\) | 30.9889 | + | 9.19407i | 1.11244 | + | 0.330048i | ||||
\(777\) | −3.87657 | − | 3.17655i | −0.139071 | − | 0.113958i | ||||
\(778\) | 5.18720 | − | 27.9649i | 0.185970 | − | 1.00259i | ||||
\(779\) | −4.55818 | + | 2.63167i | −0.163314 | + | 0.0942893i | ||||
\(780\) | 36.8934 | − | 32.1235i | 1.32100 | − | 1.15020i | ||||
\(781\) | 26.1603 | + | 15.1036i | 0.936088 | + | 0.540451i | ||||
\(782\) | −7.63852 | + | 8.94092i | −0.273153 | + | 0.319727i | ||||
\(783\) | 5.40117 | − | 3.37557i | 0.193022 | − | 0.120633i | ||||
\(784\) | 4.35077 | + | 13.4169i | 0.155385 | + | 0.479175i | ||||
\(785\) | −3.32387 | − | 16.4919i | −0.118634 | − | 0.588622i | ||||
\(786\) | −33.2634 | − | 39.4182i | −1.18647 | − | 1.40600i | ||||
\(787\) | 9.50156 | + | 2.54594i | 0.338694 | + | 0.0907528i | 0.424157 | − | 0.905589i | \(-0.360570\pi\) |
−0.0854632 | + | 0.996341i | \(0.527237\pi\) | |||||||
\(788\) | 1.78449 | + | 0.188084i | 0.0635699 | + | 0.00670020i | ||||
\(789\) | −0.524143 | − | 5.28103i | −0.0186600 | − | 0.188010i | ||||
\(790\) | −10.8801 | − | 38.2284i | −0.387095 | − | 1.36011i | ||||
\(791\) | 14.7030i | 0.522777i | ||||||||
\(792\) | −3.59440 | − | 20.7855i | −0.127722 | − | 0.738580i | ||||
\(793\) | −36.9265 | − | 36.9265i | −1.31130 | − | 1.31130i | ||||
\(794\) | −30.3935 | − | 14.5024i | −1.07863 | − | 0.514671i | ||||
\(795\) | −13.2868 | + | 25.0554i | −0.471235 | + | 0.888624i | ||||
\(796\) | 26.9198 | − | 21.7862i | 0.954146 | − | 0.772192i | ||||
\(797\) | 10.5775 | − | 39.4756i | 0.374673 | − | 1.39830i | −0.479150 | − | 0.877733i | \(-0.659055\pi\) |
0.853823 | − | 0.520564i | \(-0.174278\pi\) | |||||||
\(798\) | −10.9691 | − | 23.3531i | −0.388302 | − | 0.826692i | ||||
\(799\) | −3.36573 | + | 5.82962i | −0.119071 | + | 0.206237i | ||||
\(800\) | 24.5560 | + | 14.0358i | 0.868185 | + | 0.496241i | ||||
\(801\) | 16.5948 | − | 49.1292i | 0.586349 | − | 1.73589i | ||||
\(802\) | −4.98726 | − | 4.26078i | −0.176106 | − | 0.150453i | ||||
\(803\) | −37.4991 | + | 10.0478i | −1.32331 | + | 0.354581i | ||||
\(804\) | −29.8954 | + | 7.81577i | −1.05433 | + | 0.275641i | ||||
\(805\) | 9.84611 | − | 4.88659i | 0.347030 | − | 0.172230i | ||||
\(806\) | −36.2376 | + | 24.8976i | −1.27641 | + | 0.876981i | ||||
\(807\) | 22.4711 | + | 3.69265i | 0.791019 | + | 0.129987i | ||||
\(808\) | 3.35553 | − | 1.82001i | 0.118047 | − | 0.0640276i | ||||
\(809\) | − | 33.6079i | − | 1.18159i | −0.806821 | − | 0.590796i | \(-0.798814\pi\) | ||
0.806821 | − | 0.590796i | \(-0.201186\pi\) | |||||||
\(810\) | −28.1435 | + | 4.23566i | −0.988863 | + | 0.148826i | ||||
\(811\) | −14.7156 | −0.516734 | −0.258367 | − | 0.966047i | \(-0.583184\pi\) | ||||
−0.258367 | + | 0.966047i | \(0.583184\pi\) | |||||||
\(812\) | 1.85724 | + | 4.17470i | 0.0651764 | + | 0.146503i | ||||
\(813\) | −2.64434 | + | 16.0917i | −0.0927410 | + | 0.564362i | ||||
\(814\) | 4.49857 | − | 3.09082i | 0.157675 | − | 0.108333i | ||||
\(815\) | −28.2631 | − | 9.51431i | −0.990014 | − | 0.333272i | ||||
\(816\) | 8.75684 | + | 20.0106i | 0.306551 | + | 0.700512i | ||||
\(817\) | 6.80342 | + | 25.3907i | 0.238022 | + | 0.888308i | ||||
\(818\) | −15.0007 | + | 17.5583i | −0.524486 | + | 0.613913i | ||||
\(819\) | −33.4552 | − | 11.3005i | −1.16902 | − | 0.394871i | ||||
\(820\) | −4.14671 | + | 0.390399i | −0.144809 | + | 0.0136333i | ||||
\(821\) | 1.42611 | + | 0.823366i | 0.0497717 | + | 0.0287357i | 0.524679 | − | 0.851300i | \(-0.324185\pi\) |
−0.474908 | + | 0.880036i | \(0.657519\pi\) | |||||||
\(822\) | −2.38371 | − | 5.07491i | −0.0831415 | − | 0.177008i | ||||
\(823\) | −5.70215 | − | 1.52789i | −0.198764 | − | 0.0532588i | 0.158063 | − | 0.987429i | \(-0.449475\pi\) |
−0.356828 | + | 0.934170i | \(0.616142\pi\) | |||||||
\(824\) | 3.27242 | − | 3.10269i | 0.114000 | − | 0.108087i | ||||
\(825\) | 5.01054 | + | 20.9378i | 0.174445 | + | 0.728960i | ||||
\(826\) | −5.60212 | + | 11.7407i | −0.194923 | + | 0.408511i | ||||
\(827\) | 26.7124 | − | 26.7124i | 0.928883 | − | 0.928883i | −0.0687510 | − | 0.997634i | \(-0.521901\pi\) |
0.997634 | + | 0.0687510i | \(0.0219014\pi\) | |||||||
\(828\) | −15.7567 | + | 1.46708i | −0.547583 | + | 0.0509847i | ||||
\(829\) | −44.9068 | −1.55968 | −0.779839 | − | 0.625981i | \(-0.784699\pi\) | ||||
−0.779839 | + | 0.625981i | \(0.784699\pi\) | |||||||
\(830\) | 13.2250 | − | 23.7477i | 0.459047 | − | 0.824294i | ||||
\(831\) | −54.4913 | + | 5.40826i | −1.89028 | + | 0.187610i | ||||
\(832\) | −10.4611 | − | 49.4282i | −0.362674 | − | 1.71361i | ||||
\(833\) | 2.87731 | − | 10.7383i | 0.0996929 | − | 0.372059i | ||||
\(834\) | −35.8783 | + | 30.2763i | −1.24236 | + | 1.04838i | ||||
\(835\) | 2.92353 | + | 14.5055i | 0.101173 | + | 0.501985i | ||||
\(836\) | 27.7535 | − | 4.38744i | 0.959877 | − | 0.151743i | ||||
\(837\) | 25.5637 | − | 0.894551i | 0.883610 | − | 0.0309202i | ||||
\(838\) | −19.8909 | + | 23.2824i | −0.687120 | + | 0.804276i | ||||
\(839\) | −8.78049 | + | 15.2083i | −0.303136 | + | 0.525047i | −0.976845 | − | 0.213950i | \(-0.931367\pi\) |
0.673708 | + | 0.738997i | \(0.264700\pi\) | |||||||
\(840\) | −0.191730 | − | 20.4162i | −0.00661530 | − | 0.704427i | ||||
\(841\) | 13.7488 | + | 23.8135i | 0.474095 | + | 0.821157i | ||||
\(842\) | −24.6244 | − | 4.56758i | −0.848614 | − | 0.157409i | ||||
\(843\) | 15.8749 | − | 19.3733i | 0.546762 | − | 0.667253i | ||||
\(844\) | 31.5859 | + | 12.1353i | 1.08723 | + | 0.417713i | ||||
\(845\) | 59.9956 | + | 3.77981i | 2.06391 | + | 0.130029i | ||||
\(846\) | −8.71511 | + | 2.47069i | −0.299632 | + | 0.0849439i | ||||
\(847\) | −6.35244 | − | 6.35244i | −0.218272 | − | 0.218272i | ||||
\(848\) | 15.9384 | + | 24.5744i | 0.547328 | + | 0.843888i | ||||
\(849\) | 0.0622553 | − | 0.137675i | 0.00213660 | − | 0.00472501i | ||||
\(850\) | −10.2185 | − | 19.8134i | −0.350490 | − | 0.679593i | ||||
\(851\) | −2.04733 | − | 3.54608i | −0.0701816 | − | 0.121558i | ||||
\(852\) | −20.8243 | − | 36.5810i | −0.713428 | − | 1.25324i | ||||
\(853\) | 2.31551 | + | 8.64160i | 0.0792815 | + | 0.295883i | 0.994170 | − | 0.107824i | \(-0.0343883\pi\) |
−0.914888 | + | 0.403707i | \(0.867722\pi\) | |||||||
\(854\) | −21.7289 | + | 1.70691i | −0.743547 | + | 0.0584094i | ||||
\(855\) | −5.09993 | − | 37.5661i | −0.174414 | − | 1.28473i | ||||
\(856\) | −5.78671 | − | 24.1499i | −0.197786 | − | 0.825426i | ||||
\(857\) | 7.48470 | + | 27.9333i | 0.255673 | + | 0.954183i | 0.967715 | + | 0.252047i | \(0.0811037\pi\) |
−0.712042 | + | 0.702136i | \(0.752230\pi\) | |||||||
\(858\) | 21.9697 | − | 31.5629i | 0.750035 | − | 1.07754i | ||||
\(859\) | −10.9886 | + | 6.34429i | −0.374927 | + | 0.216464i | −0.675609 | − | 0.737260i | \(-0.736119\pi\) |
0.300682 | + | 0.953725i | \(0.402786\pi\) | |||||||
\(860\) | −3.47675 | + | 20.5087i | −0.118556 | + | 0.699340i | ||||
\(861\) | 1.75309 | + | 2.44256i | 0.0597451 | + | 0.0832421i | ||||
\(862\) | 0.783364 | + | 2.21318i | 0.0266815 | + | 0.0753810i | ||||
\(863\) | −16.7157 | + | 16.7157i | −0.569010 | + | 0.569010i | −0.931851 | − | 0.362841i | \(-0.881807\pi\) |
0.362841 | + | 0.931851i | \(0.381807\pi\) | |||||||
\(864\) | −10.3120 | + | 27.5257i | −0.350822 | + | 0.936442i | ||||
\(865\) | 0.0745969 | + | 0.0846283i | 0.00253637 | + | 0.00287745i | ||||
\(866\) | −24.9023 | − | 11.8822i | −0.846215 | − | 0.403775i | ||||
\(867\) | −1.98294 | + | 12.0669i | −0.0673443 | + | 0.409814i | ||||
\(868\) | −1.92344 | + | 18.2491i | −0.0652858 | + | 0.619416i | ||||
\(869\) | −15.6229 | − | 27.0597i | −0.529971 | − | 0.917937i | ||||
\(870\) | 0.766393 | + | 6.66987i | 0.0259831 | + | 0.226130i | ||||
\(871\) | −48.7865 | − | 28.1669i | −1.65307 | − | 0.954400i | ||||
\(872\) | 23.8749 | − | 38.9221i | 0.808506 | − | 1.31807i | ||||
\(873\) | 2.19093 | − | 34.2147i | 0.0741516 | − | 1.15799i | ||||
\(874\) | −1.65081 | − | 21.0147i | −0.0558396 | − | 0.710834i | ||||
\(875\) | 1.52076 | + | 20.7826i | 0.0514112 | + | 0.702580i | ||||
\(876\) | 52.1677 | + | 14.3191i | 1.76258 | + | 0.483797i | ||||
\(877\) | −0.216497 | + | 0.807978i | −0.00731058 | + | 0.0272835i | −0.969485 | − | 0.245151i | \(-0.921162\pi\) |
0.962174 | + | 0.272435i | \(0.0878290\pi\) | |||||||
\(878\) | −5.22472 | + | 28.1672i | −0.176326 | + | 0.950596i | ||||
\(879\) | 2.65031 | + | 1.19844i | 0.0893929 | + | 0.0404225i | ||||
\(880\) | 21.4119 | + | 5.99377i | 0.721796 | + | 0.202050i | ||||
\(881\) | 22.8509 | 0.769867 | 0.384934 | − | 0.922944i | \(-0.374224\pi\) | ||||
0.384934 | + | 0.922944i | \(0.374224\pi\) | |||||||
\(882\) | 12.8466 | − | 7.66652i | 0.432566 | − | 0.258145i | ||||
\(883\) | 28.9294 | + | 28.9294i | 0.973552 | + | 0.973552i | 0.999659 | − | 0.0261071i | \(-0.00831110\pi\) |
−0.0261071 | + | 0.999659i | \(0.508311\pi\) | |||||||
\(884\) | −14.2816 | + | 37.1723i | −0.480341 | + | 1.25024i | ||||
\(885\) | −13.0206 | + | 13.9938i | −0.437683 | + | 0.470396i | ||||
\(886\) | 37.0659 | − | 25.4667i | 1.24525 | − | 0.855572i | ||||
\(887\) | −7.56750 | + | 28.2423i | −0.254092 | + | 0.948284i | 0.714502 | + | 0.699634i | \(0.246654\pi\) |
−0.968593 | + | 0.248650i | \(0.920013\pi\) | |||||||
\(888\) | −7.58576 | + | 0.549476i | −0.254561 | + | 0.0184392i | ||||
\(889\) | 0.324439 | + | 0.187315i | 0.0108813 | + | 0.00628234i | ||||
\(890\) | 39.2448 | + | 38.0485i | 1.31549 | + | 1.27539i | ||||
\(891\) | −20.6446 | + | 8.62407i | −0.691622 | + | 0.288917i | ||||
\(892\) | 11.0642 | + | 8.04356i | 0.370458 | + | 0.269318i | ||||
\(893\) | −3.12302 | − | 11.6553i | −0.104508 | − | 0.390029i | ||||
\(894\) | 24.2415 | + | 28.7269i | 0.810756 | + | 0.960771i | ||||
\(895\) | 4.17224 | + | 8.40675i | 0.139463 | + | 0.281007i | ||||
\(896\) | −18.5211 | − | 10.0806i | −0.618747 | − | 0.336770i | ||||
\(897\) | −22.3152 | − | 18.2856i | −0.745084 | − | 0.610539i | ||||
\(898\) | 7.93206 | + | 22.4098i | 0.264696 | + | 0.747826i | ||||
\(899\) | − | 6.03410i | − | 0.201248i | ||||||
\(900\) | 8.71631 | − | 28.7059i | 0.290544 | − | 0.956862i | ||||
\(901\) | − | 23.0863i | − | 0.769116i | ||||||
\(902\) | −3.08661 | + | 1.09252i | −0.102773 | + | 0.0363769i | ||||
\(903\) | 14.0491 | − | 5.29977i | 0.467525 | − | 0.176365i | ||||
\(904\) | 15.3517 | + | 16.1915i | 0.510591 | + | 0.538522i | ||||
\(905\) | 21.5835 | + | 43.4892i | 0.717461 | + | 1.44563i | ||||
\(906\) | 44.5520 | + | 16.0751i | 1.48014 | + | 0.534060i | ||||
\(907\) | −2.28069 | − | 8.51165i | −0.0757291 | − | 0.282625i | 0.917669 | − | 0.397347i | \(-0.130069\pi\) |
−0.993398 | + | 0.114722i | \(0.963402\pi\) | |||||||
\(908\) | −32.4205 | − | 23.5693i | −1.07591 | − | 0.782174i | ||||
\(909\) | −2.67419 | − | 3.04010i | −0.0886974 | − | 0.100834i | ||||
\(910\) | 25.9097 | − | 26.7243i | 0.858899 | − | 0.885903i | ||||
\(911\) | 19.0896 | + | 11.0214i | 0.632467 | + | 0.365155i | 0.781707 | − | 0.623646i | \(-0.214349\pi\) |
−0.149240 | + | 0.988801i | \(0.547683\pi\) | |||||||
\(912\) | −36.4632 | − | 14.2644i | −1.20742 | − | 0.472340i | ||||
\(913\) | 5.53055 | − | 20.6403i | 0.183034 | − | 0.683093i | ||||
\(914\) | 3.88972 | + | 5.66135i | 0.128661 | + | 0.187261i | ||||
\(915\) | −31.2129 | − | 7.16986i | −1.03187 | − | 0.237028i | ||||
\(916\) | −19.6715 | − | 7.55776i | −0.649965 | − | 0.249716i | ||||
\(917\) | −27.7507 | − | 27.7507i | −0.916410 | − | 0.916410i | ||||
\(918\) | 18.6246 | − | 13.7793i | 0.614703 | − | 0.454786i | ||||
\(919\) | −25.6149 | −0.844959 | −0.422479 | − | 0.906373i | \(-0.638840\pi\) | ||||
−0.422479 | + | 0.906373i | \(0.638840\pi\) | |||||||
\(920\) | 5.74074 | − | 15.6619i | 0.189267 | − | 0.516358i | ||||
\(921\) | 17.2037 | − | 12.3476i | 0.566880 | − | 0.406866i | ||||
\(922\) | 21.5581 | + | 3.99881i | 0.709979 | + | 0.131694i | ||||
\(923\) | 19.8616 | − | 74.1246i | 0.653753 | − | 2.43984i | ||||
\(924\) | −4.05975 | − | 15.5285i | −0.133556 | − | 0.510851i | ||||
\(925\) | 7.69083 | − | 1.05216i | 0.252873 | − | 0.0345948i | ||||
\(926\) | 25.9697 | − | 2.04005i | 0.853418 | − | 0.0670403i | ||||
\(927\) | −3.98093 | − | 2.65133i | −0.130751 | − | 0.0870810i | ||||
\(928\) | 6.40419 | + | 2.65817i | 0.210228 | + | 0.0872587i | ||||
\(929\) | −1.04635 | − | 0.604109i | −0.0343296 | − | 0.0198202i | 0.482737 | − | 0.875765i | \(-0.339643\pi\) |
−0.517067 | + | 0.855945i | \(0.672976\pi\) | |||||||
\(930\) | −10.7278 | + | 24.7369i | −0.351779 | + | 0.811156i | ||||
\(931\) | 9.96390 | + | 17.2580i | 0.326554 | + | 0.565608i | ||||
\(932\) | −49.3609 | − | 5.20259i | −1.61687 | − | 0.170416i | ||||
\(933\) | 22.1337 | − | 8.34952i | 0.724624 | − | 0.273351i | ||||
\(934\) | 20.5676 | − | 43.1047i | 0.672993 | − | 1.41043i | ||||
\(935\) | −11.5885 | − | 13.1469i | −0.378986 | − | 0.429950i | ||||
\(936\) | −48.6414 | + | 22.4869i | −1.58990 | + | 0.735007i | ||||
\(937\) | 1.14778 | − | 1.14778i | 0.0374964 | − | 0.0374964i | −0.688110 | − | 0.725606i | \(-0.741559\pi\) |
0.725606 | + | 0.688110i | \(0.241559\pi\) | |||||||
\(938\) | −22.1645 | + | 7.84523i | −0.723697 | + | 0.256156i | ||||
\(939\) | −3.53138 | + | 0.350490i | −0.115242 | + | 0.0114378i | ||||
\(940\) | 1.59596 | − | 9.41423i | 0.0520544 | − | 0.307058i | ||||
\(941\) | −28.3488 | + | 16.3672i | −0.924145 | + | 0.533555i | −0.884955 | − | 0.465677i | \(-0.845811\pi\) |
−0.0391896 | + | 0.999232i | \(0.512478\pi\) | |||||||
\(942\) | −1.55504 | + | 18.3636i | −0.0506659 | + | 0.598317i | ||||
\(943\) | 0.635755 | + | 2.37267i | 0.0207030 | + | 0.0772648i | ||||
\(944\) | 6.08946 | + | 18.7787i | 0.198195 | + | 0.611194i | ||||
\(945\) | −21.0662 | + | 5.01835i | −0.685282 | + | 0.163247i | ||||
\(946\) | 1.28062 | + | 16.3022i | 0.0416366 | + | 0.530031i | ||||
\(947\) | −3.51631 | − | 13.1230i | −0.114265 | − | 0.426441i | 0.884966 | − | 0.465655i | \(-0.154181\pi\) |
−0.999231 | + | 0.0392139i | \(0.987515\pi\) | |||||||
\(948\) | −0.264945 | + | 43.5394i | −0.00860502 | + | 1.41409i | ||||
\(949\) | 49.3121 | + | 85.4111i | 1.60074 | + | 2.77256i | ||||
\(950\) | 38.0658 | + | 12.1617i | 1.23502 | + | 0.394578i | ||||
\(951\) | 41.8105 | − | 4.14969i | 1.35580 | − | 0.134563i | ||||
\(952\) | 7.92409 | + | 14.6096i | 0.256821 | + | 0.473500i | ||||
\(953\) | 29.1929 | + | 29.1929i | 0.945650 | + | 0.945650i | 0.998597 | − | 0.0529470i | \(-0.0168614\pi\) |
−0.0529470 | + | 0.998597i | \(0.516861\pi\) | |||||||
\(954\) | 21.6482 | − | 22.2829i | 0.700887 | − | 0.721437i | ||||
\(955\) | 20.3131 | + | 1.27975i | 0.657316 | + | 0.0414118i | ||||
\(956\) | 23.7704 | + | 9.13255i | 0.768790 | + | 0.295368i | ||||
\(957\) | 1.86284 | + | 4.93819i | 0.0602170 | + | 0.159629i | ||||
\(958\) | −0.787152 | + | 4.24364i | −0.0254317 | + | 0.137106i | ||||
\(959\) | −2.13313 | − | 3.69469i | −0.0688824 | − | 0.119308i | ||||
\(960\) | −21.5283 | − | 22.2830i | −0.694822 | − | 0.719182i | ||||
\(961\) | −3.38330 | + | 5.86005i | −0.109139 | + | 0.189034i | ||||
\(962\) | −10.5423 | − | 9.00664i | −0.339898 | − | 0.290386i | ||||
\(963\) | −23.6060 | + | 11.6853i | −0.760693 | + | 0.376554i | ||||
\(964\) | 5.73328 | + | 36.2669i | 0.184656 | + | 1.16808i | ||||
\(965\) | −0.00757974 | − | 0.0376081i | −0.000244001 | − | 0.00121065i | ||||
\(966\) | −11.8524 | + | 2.12397i | −0.381343 | + | 0.0683376i | ||||
\(967\) | −4.65839 | + | 17.3853i | −0.149804 | + | 0.559075i | 0.849691 | + | 0.527281i | \(0.176789\pi\) |
−0.999494 | + | 0.0317936i | \(0.989878\pi\) | |||||||
\(968\) | −13.6283 | − | 0.362832i | −0.438031 | − | 0.0116619i | ||||
\(969\) | 17.9944 | + | 25.0714i | 0.578065 | + | 0.805409i | ||||
\(970\) | 31.5735 | + | 17.5832i | 1.01376 | + | 0.564562i | ||||
\(971\) | −0.141873 | −0.00455292 | −0.00227646 | − | 0.999997i | \(-0.500725\pi\) | ||||
−0.00227646 | + | 0.999997i | \(0.500725\pi\) | |||||||
\(972\) | 30.8975 | + | 4.16459i | 0.991038 | + | 0.133579i | ||||
\(973\) | −25.2587 | + | 25.2587i | −0.809755 | + | 0.809755i | ||||
\(974\) | −30.7797 | − | 14.6867i | −0.986246 | − | 0.470592i | ||||
\(975\) | 48.0840 | − | 26.0620i | 1.53992 | − | 0.834653i | ||||
\(976\) | −22.1465 | + | 24.5674i | −0.708893 | + | 0.786384i | ||||
\(977\) | 17.4801 | + | 4.68379i | 0.559239 | + | 0.149848i | 0.527357 | − | 0.849644i | \(-0.323183\pi\) |
0.0318825 | + | 0.999492i | \(0.489850\pi\) | |||||||
\(978\) | 26.8121 | + | 18.6629i | 0.857356 | + | 0.596773i | ||||
\(979\) | 37.2136 | + | 21.4853i | 1.18935 | + | 0.686674i | ||||
\(980\) | 1.47811 | + | 15.7001i | 0.0472165 | + | 0.501521i | ||||
\(981\) | −45.8841 | − | 15.4987i | −1.46497 | − | 0.494835i | ||||
\(982\) | 19.4506 | + | 16.6173i | 0.620694 | + | 0.530279i | ||||
\(983\) | −11.7603 | − | 43.8901i | −0.375096 | − | 1.39988i | −0.853205 | − | 0.521577i | \(-0.825344\pi\) |
0.478109 | − | 0.878301i | \(-0.341323\pi\) | |||||||
\(984\) | 4.48091 | + | 0.859401i | 0.142846 | + | 0.0273967i | ||||
\(985\) | 1.90133 | + | 0.640052i | 0.0605815 | + | 0.0203938i | ||||
\(986\) | −3.09488 | − | 4.50448i | −0.0985609 | − | 0.143452i | ||||
\(987\) | −6.44906 | + | 2.43279i | −0.205276 | + | 0.0774365i | ||||
\(988\) | −29.0145 | − | 65.2187i | −0.923073 | − | 2.07488i | ||||
\(989\) | 12.2677 | 0.390091 | ||||||||
\(990\) | 1.14269 | − | 23.5561i | 0.0363171 | − | 0.748662i | ||||
\(991\) | 1.97005i | 0.0625806i | 0.999510 | + | 0.0312903i | \(0.00996163\pi\) | ||||
−0.999510 | + | 0.0312903i | \(0.990038\pi\) | |||||||
\(992\) | 16.9362 | + | 22.1050i | 0.537726 | + | 0.701836i | ||||
\(993\) | −17.6346 | + | 21.5208i | −0.559618 | + | 0.682942i | ||||
\(994\) | −18.1374 | − | 26.3983i | −0.575282 | − | 0.837302i | ||||
\(995\) | 34.6823 | − | 17.2127i | 1.09950 | − | 0.545680i | ||||
\(996\) | −21.1827 | + | 20.9265i | −0.671200 | + | 0.663081i | ||||
\(997\) | −49.7351 | + | 13.3265i | −1.57513 | + | 0.422054i | −0.937413 | − | 0.348221i | \(-0.886786\pi\) |
−0.637713 | + | 0.770274i | \(0.720119\pi\) | |||||||
\(998\) | 15.5113 | − | 18.1560i | 0.491001 | − | 0.574719i | ||||
\(999\) | 2.35912 | + | 7.71433i | 0.0746391 | + | 0.244071i |
(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 | 360.2.bo.a.43.8 | ✓ | 272 | |
5.2 | odd | 4 | inner | 360.2.bo.a.187.28 | yes | 272 | |
8.3 | odd | 2 | inner | 360.2.bo.a.43.64 | yes | 272 | |
9.4 | even | 3 | inner | 360.2.bo.a.283.38 | yes | 272 | |
40.27 | even | 4 | inner | 360.2.bo.a.187.38 | yes | 272 | |
45.22 | odd | 12 | inner | 360.2.bo.a.67.64 | yes | 272 | |
72.67 | odd | 6 | inner | 360.2.bo.a.283.28 | yes | 272 | |
360.67 | even | 12 | inner | 360.2.bo.a.67.8 | yes | 272 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bo.a.43.8 | ✓ | 272 | 1.1 | even | 1 | trivial | |
360.2.bo.a.43.64 | yes | 272 | 8.3 | odd | 2 | inner | |
360.2.bo.a.67.8 | yes | 272 | 360.67 | even | 12 | inner | |
360.2.bo.a.67.64 | yes | 272 | 45.22 | odd | 12 | inner | |
360.2.bo.a.187.28 | yes | 272 | 5.2 | odd | 4 | inner | |
360.2.bo.a.187.38 | yes | 272 | 40.27 | even | 4 | inner | |
360.2.bo.a.283.28 | yes | 272 | 72.67 | odd | 6 | inner | |
360.2.bo.a.283.38 | yes | 272 | 9.4 | even | 3 | inner |