Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.3 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.2.g.a.9.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06016 | − | 1.32939i | 0.749644 | − | 0.940024i | −0.249957 | − | 0.968257i | \(-0.580417\pi\) |
0.999601 | + | 0.0282328i | \(0.00898797\pi\) | |||||||
\(3\) | −1.14296 | + | 0.172273i | −0.659887 | + | 0.0994619i | −0.470444 | − | 0.882430i | \(-0.655906\pi\) |
−0.189443 | + | 0.981892i | \(0.560668\pi\) | |||||||
\(4\) | −0.198316 | − | 0.868879i | −0.0991580 | − | 0.434439i | ||||
\(5\) | −1.45700 | + | 0.993363i | −0.651588 | + | 0.444245i | −0.843473 | − | 0.537172i | \(-0.819493\pi\) |
0.191884 | + | 0.981418i | \(0.438540\pi\) | |||||||
\(6\) | −0.982695 | + | 1.70208i | −0.401184 | + | 0.694871i | ||||
\(7\) | −0.297283 | − | 0.514909i | −0.112362 | − | 0.194617i | 0.804360 | − | 0.594142i | \(-0.202508\pi\) |
−0.916722 | + | 0.399525i | \(0.869175\pi\) | |||||||
\(8\) | 1.69861 | + | 0.818009i | 0.600551 | + | 0.289210i | ||||
\(9\) | −1.59004 | + | 0.490464i | −0.530015 | + | 0.163488i | ||||
\(10\) | −0.224073 | + | 2.99004i | −0.0708580 | + | 0.945535i | ||||
\(11\) | 0.967034 | − | 4.23685i | 0.291572 | − | 1.27746i | −0.590767 | − | 0.806843i | \(-0.701175\pi\) |
0.882338 | − | 0.470616i | \(-0.155968\pi\) | |||||||
\(12\) | 0.376351 | + | 0.958927i | 0.108643 | + | 0.276818i | ||||
\(13\) | 0.242325 | + | 3.23360i | 0.0672089 | + | 0.896840i | 0.924298 | + | 0.381672i | \(0.124652\pi\) |
−0.857089 | + | 0.515168i | \(0.827729\pi\) | |||||||
\(14\) | −0.999683 | − | 0.150678i | −0.267177 | − | 0.0402704i | ||||
\(15\) | 1.49415 | − | 1.38637i | 0.385789 | − | 0.357960i | ||||
\(16\) | 4.49418 | − | 2.16428i | 1.12355 | − | 0.541071i | ||||
\(17\) | −4.57863 | − | 3.12166i | −1.11048 | − | 0.757113i | −0.138078 | − | 0.990421i | \(-0.544093\pi\) |
−0.972403 | + | 0.233308i | \(0.925045\pi\) | |||||||
\(18\) | −1.03368 | + | 2.63377i | −0.243640 | + | 0.620785i | ||||
\(19\) | 2.59725 | + | 0.801147i | 0.595851 | + | 0.183796i | 0.577989 | − | 0.816045i | \(-0.303838\pi\) |
0.0178622 | + | 0.999840i | \(0.494314\pi\) | |||||||
\(20\) | 1.15206 | + | 1.06895i | 0.257608 | + | 0.239025i | ||||
\(21\) | 0.428486 | + | 0.537305i | 0.0935034 | + | 0.117250i | ||||
\(22\) | −4.60724 | − | 5.77730i | −0.982267 | − | 1.23172i | ||||
\(23\) | −3.88284 | − | 3.60275i | −0.809629 | − | 0.751226i | 0.162239 | − | 0.986751i | \(-0.448128\pi\) |
−0.971868 | + | 0.235526i | \(0.924319\pi\) | |||||||
\(24\) | −2.08236 | − | 0.642324i | −0.425061 | − | 0.131114i | ||||
\(25\) | −0.690639 | + | 1.75972i | −0.138128 | + | 0.351944i | ||||
\(26\) | 4.55564 | + | 3.10598i | 0.893434 | + | 0.609133i | ||||
\(27\) | 4.85706 | − | 2.33904i | 0.934742 | − | 0.450148i | ||||
\(28\) | −0.388437 | + | 0.360417i | −0.0734078 | + | 0.0681125i | ||||
\(29\) | 9.75088 | + | 1.46971i | 1.81069 | + | 0.272918i | 0.965284 | − | 0.261201i | \(-0.0841186\pi\) |
0.845409 | + | 0.534119i | \(0.179357\pi\) | |||||||
\(30\) | −0.258998 | − | 3.45609i | −0.0472864 | − | 0.630993i | ||||
\(31\) | 1.36275 | + | 3.47222i | 0.244756 | + | 0.623629i | 0.999474 | − | 0.0324203i | \(-0.0103215\pi\) |
−0.754718 | + | 0.656049i | \(0.772226\pi\) | |||||||
\(32\) | 1.04831 | − | 4.59293i | 0.185316 | − | 0.811922i | ||||
\(33\) | −0.375383 | + | 5.00913i | −0.0653457 | + | 0.871978i | ||||
\(34\) | −9.00399 | + | 2.77736i | −1.54417 | + | 0.476314i | ||||
\(35\) | 0.944631 | + | 0.454910i | 0.159672 | + | 0.0768938i | ||||
\(36\) | 0.741485 | + | 1.28429i | 0.123581 | + | 0.214048i | ||||
\(37\) | −0.673012 | + | 1.16569i | −0.110643 | + | 0.191639i | −0.916030 | − | 0.401111i | \(-0.868624\pi\) |
0.805387 | + | 0.592749i | \(0.201958\pi\) | |||||||
\(38\) | 3.81854 | − | 2.60343i | 0.619449 | − | 0.422333i | ||||
\(39\) | −0.834030 | − | 3.65413i | −0.133552 | − | 0.585128i | ||||
\(40\) | −3.28745 | + | 0.495504i | −0.519792 | + | 0.0783460i | ||||
\(41\) | −6.99273 | + | 8.76860i | −1.09208 | + | 1.36943i | −0.168643 | + | 0.985677i | \(0.553938\pi\) |
−0.923438 | + | 0.383748i | \(0.874633\pi\) | |||||||
\(42\) | 1.16855 | 0.180312 | ||||||||
\(43\) | −4.98246 | + | 4.26323i | −0.759818 | + | 0.650136i | ||||
\(44\) | −3.87309 | −0.583890 | ||||||||
\(45\) | 1.82948 | − | 2.29409i | 0.272723 | − | 0.341983i | ||||
\(46\) | −8.90590 | + | 1.34235i | −1.31310 | + | 0.197919i | ||||
\(47\) | −0.909600 | − | 3.98522i | −0.132679 | − | 0.581304i | −0.996934 | − | 0.0782499i | \(-0.975067\pi\) |
0.864255 | − | 0.503054i | \(-0.167790\pi\) | |||||||
\(48\) | −4.76381 | + | 3.24791i | −0.687597 | + | 0.468796i | ||||
\(49\) | 3.32325 | − | 5.75603i | 0.474749 | − | 0.822290i | ||||
\(50\) | 1.60718 | + | 2.78371i | 0.227289 | + | 0.393676i | ||||
\(51\) | 5.77096 | + | 2.77915i | 0.808096 | + | 0.389159i | ||||
\(52\) | 2.76155 | − | 0.851826i | 0.382958 | − | 0.118127i | ||||
\(53\) | −0.180172 | + | 2.40423i | −0.0247485 | + | 0.330246i | 0.971063 | + | 0.238822i | \(0.0767611\pi\) |
−0.995812 | + | 0.0914247i | \(0.970858\pi\) | |||||||
\(54\) | 2.03974 | − | 8.93670i | 0.277574 | − | 1.21613i | ||||
\(55\) | 2.79977 | + | 7.13369i | 0.377520 | + | 0.961906i | ||||
\(56\) | −0.0837683 | − | 1.11781i | −0.0111940 | − | 0.149374i | ||||
\(57\) | −3.10657 | − | 0.468240i | −0.411475 | − | 0.0620199i | ||||
\(58\) | 12.2913 | − | 11.4047i | 1.61393 | − | 1.49750i | ||||
\(59\) | 0.662333 | − | 0.318963i | 0.0862285 | − | 0.0415254i | −0.390272 | − | 0.920699i | \(-0.627619\pi\) |
0.476501 | + | 0.879174i | \(0.341905\pi\) | |||||||
\(60\) | −1.50090 | − | 1.02330i | −0.193766 | − | 0.132107i | ||||
\(61\) | 1.86879 | − | 4.76159i | 0.239273 | − | 0.609659i | −0.759911 | − | 0.650027i | \(-0.774758\pi\) |
0.999185 | + | 0.0403678i | \(0.0128530\pi\) | |||||||
\(62\) | 6.06068 | + | 1.86947i | 0.769707 | + | 0.237423i | ||||
\(63\) | 0.725237 | + | 0.672921i | 0.0913713 | + | 0.0847801i | ||||
\(64\) | 1.22570 | + | 1.53698i | 0.153212 | + | 0.192122i | ||||
\(65\) | −3.56521 | − | 4.47063i | −0.442210 | − | 0.554513i | ||||
\(66\) | 6.26115 | + | 5.80950i | 0.770695 | + | 0.715100i | ||||
\(67\) | −3.67807 | − | 1.13454i | −0.449348 | − | 0.138606i | 0.0618180 | − | 0.998087i | \(-0.480310\pi\) |
−0.511166 | + | 0.859482i | \(0.670786\pi\) | |||||||
\(68\) | −1.80433 | + | 4.59735i | −0.218807 | + | 0.557511i | ||||
\(69\) | 5.05858 | + | 3.44888i | 0.608982 | + | 0.415197i | ||||
\(70\) | 1.60621 | − | 0.773511i | 0.191979 | − | 0.0924522i | ||||
\(71\) | 2.81309 | − | 2.61017i | 0.333852 | − | 0.309770i | −0.495377 | − | 0.868678i | \(-0.664970\pi\) |
0.829229 | + | 0.558908i | \(0.188780\pi\) | |||||||
\(72\) | −3.10208 | − | 0.467563i | −0.365583 | − | 0.0551028i | ||||
\(73\) | −0.557170 | − | 7.43491i | −0.0652118 | − | 0.870191i | −0.929884 | − | 0.367854i | \(-0.880093\pi\) |
0.864672 | − | 0.502337i | \(-0.167526\pi\) | |||||||
\(74\) | 0.836166 | + | 2.13052i | 0.0972023 | + | 0.247667i | ||||
\(75\) | 0.486219 | − | 2.13026i | 0.0561437 | − | 0.245982i | ||||
\(76\) | 0.181023 | − | 2.41558i | 0.0207647 | − | 0.277086i | ||||
\(77\) | −2.46907 | + | 0.761608i | −0.281377 | + | 0.0867933i | ||||
\(78\) | −5.74198 | − | 2.76519i | −0.650151 | − | 0.313096i | ||||
\(79\) | −6.69672 | − | 11.5991i | −0.753440 | − | 1.30500i | −0.946146 | − | 0.323740i | \(-0.895060\pi\) |
0.192706 | − | 0.981257i | \(-0.438274\pi\) | |||||||
\(80\) | −4.39809 | + | 7.61771i | −0.491721 | + | 0.851686i | ||||
\(81\) | −1.02395 | + | 0.698119i | −0.113772 | + | 0.0775687i | ||||
\(82\) | 4.24355 | + | 18.5922i | 0.468621 | + | 2.05316i | ||||
\(83\) | −7.70597 | + | 1.16149i | −0.845840 | + | 0.127490i | −0.557643 | − | 0.830081i | \(-0.688294\pi\) |
−0.288198 | + | 0.957571i | \(0.593056\pi\) | |||||||
\(84\) | 0.381877 | − | 0.478859i | 0.0416662 | − | 0.0522478i | ||||
\(85\) | 9.77199 | 1.05992 | ||||||||
\(86\) | 0.385325 | + | 11.1433i | 0.0415507 | + | 1.20162i | ||||
\(87\) | −11.3980 | −1.22200 | ||||||||
\(88\) | 5.10840 | − | 6.40573i | 0.544557 | − | 0.682853i | ||||
\(89\) | −4.45907 | + | 0.672097i | −0.472661 | + | 0.0712421i | −0.381053 | − | 0.924553i | \(-0.624439\pi\) |
−0.0916073 | + | 0.995795i | \(0.529200\pi\) | |||||||
\(90\) | −1.11022 | − | 4.86420i | −0.117028 | − | 0.512732i | ||||
\(91\) | 1.59297 | − | 1.08607i | 0.166989 | − | 0.113851i | ||||
\(92\) | −2.36033 | + | 4.08820i | −0.246081 | + | 0.426225i | ||||
\(93\) | −2.15573 | − | 3.73383i | −0.223539 | − | 0.387181i | ||||
\(94\) | −6.26225 | − | 3.01574i | −0.645902 | − | 0.311050i | ||||
\(95\) | −4.58002 | + | 1.41275i | −0.469900 | + | 0.144945i | ||||
\(96\) | −0.406931 | + | 5.43011i | −0.0415322 | + | 0.554209i | ||||
\(97\) | −0.0411575 | + | 0.180323i | −0.00417891 | + | 0.0183090i | −0.976974 | − | 0.213357i | \(-0.931560\pi\) |
0.972795 | + | 0.231666i | \(0.0744175\pi\) | |||||||
\(98\) | −4.12888 | − | 10.5202i | −0.417079 | − | 1.06270i | ||||
\(99\) | 0.540395 | + | 7.21108i | 0.0543118 | + | 0.724740i | ||||
\(100\) | 1.66595 | + | 0.251101i | 0.166595 | + | 0.0251101i | ||||
\(101\) | −3.02611 | + | 2.80782i | −0.301109 | + | 0.279388i | −0.816227 | − | 0.577731i | \(-0.803938\pi\) |
0.515119 | + | 0.857119i | \(0.327748\pi\) | |||||||
\(102\) | 9.81271 | − | 4.72555i | 0.971603 | − | 0.467899i | ||||
\(103\) | 12.9998 | + | 8.86308i | 1.28090 | + | 0.873305i | 0.996351 | − | 0.0853552i | \(-0.0272025\pi\) |
0.284553 | + | 0.958660i | \(0.408155\pi\) | |||||||
\(104\) | −2.23350 | + | 5.69087i | −0.219013 | + | 0.558036i | ||||
\(105\) | −1.15804 | − | 0.357208i | −0.113013 | − | 0.0348600i | ||||
\(106\) | 3.00516 | + | 2.78838i | 0.291887 | + | 0.270831i | ||||
\(107\) | 0.0333463 | + | 0.0418149i | 0.00322371 | + | 0.00404240i | 0.783441 | − | 0.621467i | \(-0.213463\pi\) |
−0.780217 | + | 0.625509i | \(0.784891\pi\) | |||||||
\(108\) | −2.99557 | − | 3.75633i | −0.288249 | − | 0.361453i | ||||
\(109\) | 3.84855 | + | 3.57093i | 0.368624 | + | 0.342033i | 0.842635 | − | 0.538486i | \(-0.181003\pi\) |
−0.474010 | + | 0.880519i | \(0.657194\pi\) | |||||||
\(110\) | 12.4517 | + | 3.84083i | 1.18722 | + | 0.366209i | ||||
\(111\) | 0.568407 | − | 1.44828i | 0.0539508 | − | 0.137464i | ||||
\(112\) | −2.45045 | − | 1.67069i | −0.231546 | − | 0.157865i | ||||
\(113\) | −2.32635 | + | 1.12031i | −0.218844 | + | 0.105390i | −0.540094 | − | 0.841605i | \(-0.681611\pi\) |
0.321250 | + | 0.946995i | \(0.395897\pi\) | |||||||
\(114\) | −3.91592 | + | 3.63345i | −0.366760 | + | 0.340303i | ||||
\(115\) | 9.23613 | + | 1.39212i | 0.861273 | + | 0.129816i | ||||
\(116\) | −0.656756 | − | 8.76380i | −0.0609783 | − | 0.813699i | ||||
\(117\) | −1.97127 | − | 5.02272i | −0.182244 | − | 0.464351i | ||||
\(118\) | 0.278150 | − | 1.21865i | 0.0256058 | − | 0.112186i | ||||
\(119\) | −0.246221 | + | 3.28559i | −0.0225711 | + | 0.301190i | ||||
\(120\) | 3.67206 | − | 1.13268i | 0.335211 | − | 0.103399i | ||||
\(121\) | −7.10509 | − | 3.42163i | −0.645917 | − | 0.311057i | ||||
\(122\) | −4.34882 | − | 7.53239i | −0.393724 | − | 0.681950i | ||||
\(123\) | 6.48180 | − | 11.2268i | 0.584444 | − | 1.01229i | ||||
\(124\) | 2.74668 | − | 1.87266i | 0.246659 | − | 0.168170i | ||||
\(125\) | −2.70376 | − | 11.8459i | −0.241831 | − | 1.05953i | ||||
\(126\) | 1.66344 | − | 0.250724i | 0.148191 | − | 0.0223362i | ||||
\(127\) | −8.14586 | + | 10.2146i | −0.722828 | + | 0.906397i | −0.998494 | − | 0.0548559i | \(-0.982530\pi\) |
0.275666 | + | 0.961253i | \(0.411101\pi\) | |||||||
\(128\) | 12.7648 | 1.12826 | ||||||||
\(129\) | 4.96030 | − | 5.73103i | 0.436730 | − | 0.504589i | ||||
\(130\) | −9.72291 | −0.852756 | ||||||||
\(131\) | −6.71788 | + | 8.42396i | −0.586944 | + | 0.736004i | −0.983280 | − | 0.182101i | \(-0.941710\pi\) |
0.396336 | + | 0.918106i | \(0.370282\pi\) | |||||||
\(132\) | 4.42677 | − | 0.667229i | 0.385301 | − | 0.0580748i | ||||
\(133\) | −0.359601 | − | 1.57552i | −0.0311814 | − | 0.136615i | ||||
\(134\) | −5.40758 | + | 3.68683i | −0.467144 | + | 0.318493i | ||||
\(135\) | −4.75320 | + | 8.23279i | −0.409091 | + | 0.708566i | ||||
\(136\) | −5.22378 | − | 9.04785i | −0.447936 | − | 0.775847i | ||||
\(137\) | 7.24128 | + | 3.48722i | 0.618664 | + | 0.297933i | 0.716842 | − | 0.697236i | \(-0.245587\pi\) |
−0.0981775 | + | 0.995169i | \(0.531301\pi\) | |||||||
\(138\) | 9.94782 | − | 3.06850i | 0.846815 | − | 0.261208i | ||||
\(139\) | 1.63572 | − | 21.8272i | 0.138740 | − | 1.85136i | −0.301487 | − | 0.953470i | \(-0.597483\pi\) |
0.440227 | − | 0.897887i | \(-0.354898\pi\) | |||||||
\(140\) | 0.207926 | − | 0.910985i | 0.0175730 | − | 0.0769923i | ||||
\(141\) | 1.72618 | + | 4.39824i | 0.145371 | + | 0.370398i | ||||
\(142\) | −0.487624 | − | 6.50690i | −0.0409205 | − | 0.546047i | ||||
\(143\) | 13.9346 | + | 2.10031i | 1.16527 | + | 0.175637i | ||||
\(144\) | −6.08445 | + | 5.64554i | −0.507037 | + | 0.470462i | ||||
\(145\) | −15.6669 | + | 7.54480i | −1.30107 | + | 0.626562i | ||||
\(146\) | −10.4746 | − | 7.14148i | −0.866886 | − | 0.591033i | ||||
\(147\) | −2.80672 | + | 7.15140i | −0.231494 | + | 0.589838i | ||||
\(148\) | 1.14631 | + | 0.353591i | 0.0942264 | + | 0.0290650i | ||||
\(149\) | 12.1022 | + | 11.2292i | 0.991453 | + | 0.919934i | 0.996791 | − | 0.0800518i | \(-0.0255086\pi\) |
−0.00533774 | + | 0.999986i | \(0.501699\pi\) | |||||||
\(150\) | −2.31649 | − | 2.90479i | −0.189141 | − | 0.237175i | ||||
\(151\) | 9.89432 | + | 12.4071i | 0.805188 | + | 1.00967i | 0.999587 | + | 0.0287513i | \(0.00915309\pi\) |
−0.194398 | + | 0.980923i | \(0.562275\pi\) | |||||||
\(152\) | 3.75639 | + | 3.48542i | 0.304683 | + | 0.282705i | ||||
\(153\) | 8.81129 | + | 2.71792i | 0.712351 | + | 0.219731i | ||||
\(154\) | −1.60513 | + | 4.08980i | −0.129345 | + | 0.329565i | ||||
\(155\) | −5.43469 | − | 3.70531i | −0.436525 | − | 0.297617i | ||||
\(156\) | −3.00959 | + | 1.44934i | −0.240960 | + | 0.116040i | ||||
\(157\) | 4.81341 | − | 4.46619i | 0.384152 | − | 0.356441i | −0.464333 | − | 0.885661i | \(-0.653706\pi\) |
0.848485 | + | 0.529220i | \(0.177515\pi\) | |||||||
\(158\) | −22.5193 | − | 3.39424i | −1.79154 | − | 0.270031i | ||||
\(159\) | −0.208255 | − | 2.77897i | −0.0165157 | − | 0.220387i | ||||
\(160\) | 3.03507 | + | 7.73322i | 0.239943 | + | 0.611365i | ||||
\(161\) | −0.700786 | + | 3.07035i | −0.0552297 | + | 0.241977i | ||||
\(162\) | −0.157475 | + | 2.10135i | −0.0123724 | + | 0.165098i | ||||
\(163\) | −12.1383 | + | 3.74416i | −0.950742 | + | 0.293265i | −0.731065 | − | 0.682308i | \(-0.760976\pi\) |
−0.219677 | + | 0.975573i | \(0.570500\pi\) | |||||||
\(164\) | 9.00562 | + | 4.33688i | 0.703221 | + | 0.338653i | ||||
\(165\) | −4.42896 | − | 7.67118i | −0.344794 | − | 0.597200i | ||||
\(166\) | −6.62546 | + | 11.4756i | −0.514236 | + | 0.890682i | ||||
\(167\) | 13.7745 | − | 9.39128i | 1.06590 | − | 0.726719i | 0.102487 | − | 0.994734i | \(-0.467320\pi\) |
0.963415 | + | 0.268015i | \(0.0863678\pi\) | |||||||
\(168\) | 0.288312 | + | 1.26318i | 0.0222438 | + | 0.0974564i | ||||
\(169\) | 2.45733 | − | 0.370383i | 0.189025 | − | 0.0284910i | ||||
\(170\) | 10.3598 | − | 12.9908i | 0.794563 | − | 0.996351i | ||||
\(171\) | −4.52268 | −0.345858 | ||||||||
\(172\) | 4.69233 | + | 3.48369i | 0.357787 | + | 0.265629i | ||||
\(173\) | 8.10129 | 0.615930 | 0.307965 | − | 0.951398i | \(-0.400352\pi\) | ||||
0.307965 | + | 0.951398i | \(0.400352\pi\) | |||||||
\(174\) | −12.0837 | + | 15.1525i | −0.916064 | + | 1.14871i | ||||
\(175\) | 1.11141 | − | 0.167518i | 0.0840147 | − | 0.0126632i | ||||
\(176\) | −4.82373 | − | 21.1341i | −0.363602 | − | 1.59304i | ||||
\(177\) | −0.702070 | + | 0.478663i | −0.0527708 | + | 0.0359785i | ||||
\(178\) | −3.83383 | + | 6.64039i | −0.287358 | + | 0.497719i | ||||
\(179\) | 8.72484 | + | 15.1119i | 0.652125 | + | 1.12951i | 0.982606 | + | 0.185702i | \(0.0594558\pi\) |
−0.330481 | + | 0.943813i | \(0.607211\pi\) | |||||||
\(180\) | −2.35610 | − | 1.13464i | −0.175614 | − | 0.0845711i | ||||
\(181\) | 13.4876 | − | 4.16037i | 1.00252 | − | 0.309238i | 0.250316 | − | 0.968164i | \(-0.419465\pi\) |
0.752207 | + | 0.658927i | \(0.228989\pi\) | |||||||
\(182\) | 0.244985 | − | 3.26909i | 0.0181595 | − | 0.242321i | ||||
\(183\) | −1.31565 | + | 5.76423i | −0.0972556 | + | 0.426104i | ||||
\(184\) | −3.64837 | − | 9.29589i | −0.268961 | − | 0.685302i | ||||
\(185\) | −0.177379 | − | 2.36695i | −0.0130411 | − | 0.174022i | ||||
\(186\) | −7.24915 | − | 1.09263i | −0.531534 | − | 0.0801158i | ||||
\(187\) | −17.6537 | + | 16.3802i | −1.29097 | + | 1.19784i | ||||
\(188\) | −3.28228 | + | 1.58066i | −0.239385 | + | 0.115282i | ||||
\(189\) | −2.64831 | − | 1.80559i | −0.192636 | − | 0.131337i | ||||
\(190\) | −2.97744 | + | 7.58638i | −0.216006 | + | 0.550374i | ||||
\(191\) | −18.1083 | − | 5.58567i | −1.31027 | − | 0.404165i | −0.440559 | − | 0.897724i | \(-0.645220\pi\) |
−0.869713 | + | 0.493558i | \(0.835696\pi\) | |||||||
\(192\) | −1.66570 | − | 1.54555i | −0.120212 | − | 0.111540i | ||||
\(193\) | −13.2105 | − | 16.5654i | −0.950912 | − | 1.19241i | −0.981225 | − | 0.192866i | \(-0.938222\pi\) |
0.0303130 | − | 0.999540i | \(-0.490350\pi\) | |||||||
\(194\) | 0.196087 | + | 0.245885i | 0.0140782 | + | 0.0176535i | ||||
\(195\) | 4.84505 | + | 4.49555i | 0.346961 | + | 0.321933i | ||||
\(196\) | −5.66035 | − | 1.74599i | −0.404310 | − | 0.124713i | ||||
\(197\) | 1.03126 | − | 2.62761i | 0.0734742 | − | 0.187209i | −0.889418 | − | 0.457094i | \(-0.848890\pi\) |
0.962893 | + | 0.269885i | \(0.0869856\pi\) | |||||||
\(198\) | 10.1593 | + | 6.92647i | 0.721988 | + | 0.492243i | ||||
\(199\) | 0.0117039 | − | 0.00563631i | 0.000829669 | − | 0.000399547i | −0.433469 | − | 0.901169i | \(-0.642711\pi\) |
0.434299 | + | 0.900769i | \(0.356996\pi\) | |||||||
\(200\) | −2.61259 | + | 2.42413i | −0.184738 | + | 0.171412i | ||||
\(201\) | 4.39933 | + | 0.663093i | 0.310305 | + | 0.0467710i | ||||
\(202\) | 0.524549 | + | 6.99961i | 0.0369071 | + | 0.492491i | ||||
\(203\) | −2.14200 | − | 5.45773i | −0.150339 | − | 0.383058i | ||||
\(204\) | 1.27027 | − | 5.56541i | 0.0889366 | − | 0.389657i | ||||
\(205\) | 1.47797 | − | 19.7221i | 0.103226 | − | 1.37745i | ||||
\(206\) | 25.5643 | − | 7.88554i | 1.78115 | − | 0.549412i | ||||
\(207\) | 7.94091 | + | 3.82414i | 0.551932 | + | 0.265796i | ||||
\(208\) | 8.08749 | + | 14.0080i | 0.560767 | + | 0.971277i | ||||
\(209\) | 5.90597 | − | 10.2294i | 0.408525 | − | 0.707585i | ||||
\(210\) | −1.70258 | + | 1.16080i | −0.117489 | + | 0.0801026i | ||||
\(211\) | 0.482505 | + | 2.11399i | 0.0332170 | + | 0.145533i | 0.988817 | − | 0.149134i | \(-0.0476485\pi\) |
−0.955600 | + | 0.294667i | \(0.904791\pi\) | |||||||
\(212\) | 2.12471 | − | 0.320249i | 0.145926 | − | 0.0219948i | ||||
\(213\) | −2.76558 | + | 3.46793i | −0.189495 | + | 0.237619i | ||||
\(214\) | 0.0909409 | 0.00621659 | ||||||||
\(215\) | 3.02449 | − | 11.1609i | 0.206268 | − | 0.761166i | ||||
\(216\) | 10.1636 | 0.691547 | ||||||||
\(217\) | 1.38276 | − | 1.73392i | 0.0938676 | − | 0.117706i | ||||
\(218\) | 8.82725 | − | 1.33049i | 0.597857 | − | 0.0901124i | ||||
\(219\) | 1.91766 | + | 8.40181i | 0.129583 | + | 0.567741i | ||||
\(220\) | 5.64307 | − | 3.84738i | 0.380456 | − | 0.259390i | ||||
\(221\) | 8.98469 | − | 15.5619i | 0.604376 | − | 1.04681i | ||||
\(222\) | −1.32273 | − | 2.29104i | −0.0887760 | − | 0.153765i | ||||
\(223\) | −3.40210 | − | 1.63836i | −0.227821 | − | 0.109713i | 0.316491 | − | 0.948595i | \(-0.397495\pi\) |
−0.544313 | + | 0.838882i | \(0.683209\pi\) | |||||||
\(224\) | −2.67658 | + | 0.825616i | −0.178837 | + | 0.0551638i | ||||
\(225\) | 0.235068 | − | 3.13677i | 0.0156712 | − | 0.209118i | ||||
\(226\) | −0.976960 | + | 4.28034i | −0.0649864 | + | 0.284724i | ||||
\(227\) | −6.05732 | − | 15.4338i | −0.402039 | − | 1.02438i | −0.978315 | − | 0.207123i | \(-0.933590\pi\) |
0.576276 | − | 0.817255i | \(-0.304505\pi\) | |||||||
\(228\) | 0.209238 | + | 2.79209i | 0.0138571 | + | 0.184911i | ||||
\(229\) | 0.765334 | + | 0.115355i | 0.0505747 | + | 0.00762291i | 0.174281 | − | 0.984696i | \(-0.444240\pi\) |
−0.123706 | + | 0.992319i | \(0.539478\pi\) | |||||||
\(230\) | 11.6424 | − | 10.8026i | 0.767679 | − | 0.712302i | ||||
\(231\) | 2.69084 | − | 1.29584i | 0.177044 | − | 0.0852601i | ||||
\(232\) | 15.3607 | + | 10.4728i | 1.00848 | + | 0.687572i | ||||
\(233\) | −9.49014 | + | 24.1805i | −0.621720 | + | 1.58412i | 0.178190 | + | 0.983996i | \(0.442976\pi\) |
−0.799910 | + | 0.600120i | \(0.795119\pi\) | |||||||
\(234\) | −8.76704 | − | 2.70427i | −0.573119 | − | 0.176784i | ||||
\(235\) | 5.28405 | + | 4.90288i | 0.344694 | + | 0.319829i | ||||
\(236\) | −0.408491 | − | 0.512232i | −0.0265905 | − | 0.0333435i | ||||
\(237\) | 9.65227 | + | 12.1036i | 0.626983 | + | 0.786211i | ||||
\(238\) | 4.10682 | + | 3.81057i | 0.266205 | + | 0.247003i | ||||
\(239\) | 3.36898 | + | 1.03919i | 0.217921 | + | 0.0672198i | 0.401793 | − | 0.915730i | \(-0.368387\pi\) |
−0.183872 | + | 0.982950i | \(0.558863\pi\) | |||||||
\(240\) | 3.71450 | − | 9.46439i | 0.239770 | − | 0.610924i | ||||
\(241\) | −16.1244 | − | 10.9934i | −1.03866 | − | 0.708149i | −0.0811985 | − | 0.996698i | \(-0.525875\pi\) |
−0.957465 | + | 0.288549i | \(0.906827\pi\) | |||||||
\(242\) | −12.0812 | + | 5.81801i | −0.776610 | + | 0.373996i | ||||
\(243\) | −10.8054 | + | 10.0260i | −0.693169 | + | 0.643167i | ||||
\(244\) | −4.50785 | − | 0.679449i | −0.288586 | − | 0.0434973i | ||||
\(245\) | 0.875872 | + | 11.6877i | 0.0559574 | + | 0.746700i | ||||
\(246\) | −8.05313 | − | 20.5190i | −0.513449 | − | 1.30825i | ||||
\(247\) | −1.96121 | + | 8.59263i | −0.124789 | + | 0.546736i | ||||
\(248\) | −0.525529 | + | 7.01270i | −0.0333711 | + | 0.445307i | ||||
\(249\) | 8.60750 | − | 2.65506i | 0.545478 | − | 0.168258i | ||||
\(250\) | −18.6143 | − | 8.96419i | −1.17727 | − | 0.566945i | ||||
\(251\) | −4.45344 | − | 7.71359i | −0.281099 | − | 0.486878i | 0.690557 | − | 0.723278i | \(-0.257366\pi\) |
−0.971656 | + | 0.236401i | \(0.924032\pi\) | |||||||
\(252\) | 0.440861 | − | 0.763594i | 0.0277716 | − | 0.0481019i | ||||
\(253\) | −19.0192 | + | 12.9670i | −1.19572 | + | 0.815231i | ||||
\(254\) | 4.94332 | + | 21.6581i | 0.310172 | + | 1.35895i | ||||
\(255\) | −11.1690 | + | 1.68345i | −0.699428 | + | 0.105422i | ||||
\(256\) | 11.0813 | − | 13.8955i | 0.692579 | − | 0.868466i | ||||
\(257\) | 0.0980769 | 0.00611787 | 0.00305893 | − | 0.999995i | \(-0.499026\pi\) | ||||
0.00305893 | + | 0.999995i | \(0.499026\pi\) | |||||||
\(258\) | −2.36011 | − | 12.6700i | −0.146934 | − | 0.788799i | ||||
\(259\) | 0.800300 | 0.0497282 | ||||||||
\(260\) | −3.17740 | + | 3.98433i | −0.197054 | + | 0.247098i | ||||
\(261\) | −16.2252 | + | 2.44555i | −1.00431 | + | 0.151376i | ||||
\(262\) | 4.07676 | + | 17.8614i | 0.251863 | + | 1.10348i | ||||
\(263\) | −0.383264 | + | 0.261305i | −0.0236331 | + | 0.0161128i | −0.575079 | − | 0.818098i | \(-0.695029\pi\) |
0.551446 | + | 0.834211i | \(0.314076\pi\) | |||||||
\(264\) | −4.73515 | + | 8.20152i | −0.291428 | + | 0.504768i | ||||
\(265\) | −2.12576 | − | 3.68193i | −0.130584 | − | 0.226179i | ||||
\(266\) | −2.47572 | − | 1.19224i | −0.151796 | − | 0.0731011i | ||||
\(267\) | 4.98074 | − | 1.53636i | 0.304817 | − | 0.0940235i | ||||
\(268\) | −0.256353 | + | 3.42080i | −0.0156593 | + | 0.208958i | ||||
\(269\) | −4.76797 | + | 20.8899i | −0.290709 | + | 1.27368i | 0.592833 | + | 0.805325i | \(0.298009\pi\) |
−0.883542 | + | 0.468352i | \(0.844848\pi\) | |||||||
\(270\) | 5.90549 | + | 15.0469i | 0.359397 | + | 0.915727i | ||||
\(271\) | −0.706856 | − | 9.43234i | −0.0429385 | − | 0.572974i | −0.976634 | − | 0.214907i | \(-0.931055\pi\) |
0.933696 | − | 0.358067i | \(-0.116564\pi\) | |||||||
\(272\) | −27.3334 | − | 4.11984i | −1.65733 | − | 0.249802i | ||||
\(273\) | −1.63360 | + | 1.51576i | −0.0988699 | + | 0.0917378i | ||||
\(274\) | 12.3128 | − | 5.92952i | 0.743842 | − | 0.358216i | ||||
\(275\) | 6.78780 | + | 4.62784i | 0.409319 | + | 0.279069i | ||||
\(276\) | 1.99346 | − | 5.07926i | 0.119992 | − | 0.305736i | ||||
\(277\) | 12.1472 | + | 3.74690i | 0.729852 | + | 0.225130i | 0.637341 | − | 0.770582i | \(-0.280034\pi\) |
0.0925114 | + | 0.995712i | \(0.470511\pi\) | |||||||
\(278\) | −27.2828 | − | 25.3148i | −1.63631 | − | 1.51828i | ||||
\(279\) | −3.86982 | − | 4.85261i | −0.231680 | − | 0.290518i | ||||
\(280\) | 1.23244 | + | 1.54543i | 0.0736525 | + | 0.0923573i | ||||
\(281\) | −14.2546 | − | 13.2263i | −0.850356 | − | 0.789015i | 0.128896 | − | 0.991658i | \(-0.458857\pi\) |
−0.979253 | + | 0.202643i | \(0.935047\pi\) | |||||||
\(282\) | 7.67702 | + | 2.36805i | 0.457160 | + | 0.141015i | ||||
\(283\) | 0.901034 | − | 2.29580i | 0.0535609 | − | 0.136471i | −0.901589 | − | 0.432594i | \(-0.857598\pi\) |
0.955150 | + | 0.296123i | \(0.0956937\pi\) | |||||||
\(284\) | −2.82580 | − | 1.92660i | −0.167680 | − | 0.114323i | ||||
\(285\) | 4.99139 | − | 2.40372i | 0.295664 | − | 0.142384i | ||||
\(286\) | 17.5650 | − | 16.2980i | 1.03864 | − | 0.963719i | ||||
\(287\) | 6.59385 | + | 0.993862i | 0.389222 | + | 0.0586658i | ||||
\(288\) | 0.585812 | + | 7.81711i | 0.0345193 | + | 0.460628i | ||||
\(289\) | 5.00832 | + | 12.7610i | 0.294607 | + | 0.750647i | ||||
\(290\) | −6.57940 | + | 28.8262i | −0.386356 | + | 1.69273i | ||||
\(291\) | 0.0159765 | − | 0.213191i | 0.000936558 | − | 0.0124975i | ||||
\(292\) | −6.34954 | + | 1.95858i | −0.371579 | + | 0.114617i | ||||
\(293\) | 19.6328 | + | 9.45465i | 1.14696 | + | 0.552347i | 0.908119 | − | 0.418712i | \(-0.137518\pi\) |
0.238841 | + | 0.971059i | \(0.423233\pi\) | |||||||
\(294\) | 6.53148 | + | 11.3129i | 0.380923 | + | 0.659779i | ||||
\(295\) | −0.648171 | + | 1.12266i | −0.0377380 | + | 0.0653641i | ||||
\(296\) | −2.09673 | + | 1.42953i | −0.121870 | + | 0.0830897i | ||||
\(297\) | −5.21321 | − | 22.8406i | −0.302501 | − | 1.32534i | ||||
\(298\) | 27.7583 | − | 4.18390i | 1.60800 | − | 0.242367i | ||||
\(299\) | 10.7090 | − | 13.4286i | 0.619315 | − | 0.776597i | ||||
\(300\) | −1.94736 | −0.112431 | ||||||||
\(301\) | 3.67637 | + | 1.29813i | 0.211903 | + | 0.0748228i | ||||
\(302\) | 26.9834 | 1.55272 | ||||||||
\(303\) | 2.97500 | − | 3.73053i | 0.170909 | − | 0.214313i | ||||
\(304\) | 13.4064 | − | 2.02070i | 0.768912 | − | 0.115895i | ||||
\(305\) | 2.00717 | + | 8.79399i | 0.114930 | + | 0.503543i | ||||
\(306\) | 12.9545 | − | 8.83226i | 0.740562 | − | 0.504907i | ||||
\(307\) | 9.96776 | − | 17.2647i | 0.568890 | − | 0.985346i | −0.427786 | − | 0.903880i | \(-0.640706\pi\) |
0.996676 | − | 0.0814663i | \(-0.0259603\pi\) | |||||||
\(308\) | 1.15140 | + | 1.99429i | 0.0656072 | + | 0.113635i | ||||
\(309\) | −16.3850 | − | 7.89062i | −0.932112 | − | 0.448881i | ||||
\(310\) | −10.6874 | + | 3.29664i | −0.607006 | + | 0.187236i | ||||
\(311\) | −0.440535 | + | 5.87853i | −0.0249805 | + | 0.333341i | 0.970686 | + | 0.240349i | \(0.0772620\pi\) |
−0.995667 | + | 0.0929916i | \(0.970357\pi\) | |||||||
\(312\) | 1.57241 | − | 6.88919i | 0.0890204 | − | 0.390024i | ||||
\(313\) | 7.65823 | + | 19.5129i | 0.432869 | + | 1.10293i | 0.966375 | + | 0.257136i | \(0.0827788\pi\) |
−0.533506 | + | 0.845796i | \(0.679126\pi\) | |||||||
\(314\) | −0.834362 | − | 11.1338i | −0.0470858 | − | 0.628316i | ||||
\(315\) | −1.72512 | − | 0.260020i | −0.0971996 | − | 0.0146505i | ||||
\(316\) | −8.75011 | + | 8.11892i | −0.492232 | + | 0.456725i | ||||
\(317\) | −19.5710 | + | 9.42489i | −1.09922 | + | 0.529355i | −0.893412 | − | 0.449238i | \(-0.851695\pi\) |
−0.205805 | + | 0.978593i | \(0.565981\pi\) | |||||||
\(318\) | −3.91513 | − | 2.66929i | −0.219550 | − | 0.149686i | ||||
\(319\) | 15.6564 | − | 39.8918i | 0.876588 | − | 2.23351i | ||||
\(320\) | −3.31261 | − | 1.02181i | −0.185181 | − | 0.0571207i | ||||
\(321\) | −0.0453170 | − | 0.0420480i | −0.00252935 | − | 0.00234689i | ||||
\(322\) | 3.33876 | + | 4.18667i | 0.186062 | + | 0.233314i | ||||
\(323\) | −9.39096 | − | 11.7759i | −0.522527 | − | 0.655228i | ||||
\(324\) | 0.809647 | + | 0.751242i | 0.0449804 | + | 0.0417357i | ||||
\(325\) | −5.85759 | − | 1.80683i | −0.324921 | − | 0.100225i | ||||
\(326\) | −7.89100 | + | 20.1059i | −0.437042 | + | 1.11356i | ||||
\(327\) | −5.01391 | − | 3.41842i | −0.277270 | − | 0.189039i | ||||
\(328\) | −19.0507 | + | 9.17435i | −1.05190 | + | 0.506569i | ||||
\(329\) | −1.78162 | + | 1.65310i | −0.0982237 | + | 0.0911382i | ||||
\(330\) | −14.8934 | − | 2.24482i | −0.819855 | − | 0.123573i | ||||
\(331\) | −0.708671 | − | 9.45655i | −0.0389521 | − | 0.519779i | −0.982218 | − | 0.187742i | \(-0.939883\pi\) |
0.943266 | − | 0.332037i | \(-0.107736\pi\) | |||||||
\(332\) | 2.53741 | + | 6.46521i | 0.139258 | + | 0.354825i | ||||
\(333\) | 0.498390 | − | 2.18359i | 0.0273116 | − | 0.119660i | ||||
\(334\) | 2.11839 | − | 28.2680i | 0.115913 | − | 1.54675i | ||||
\(335\) | 6.48594 | − | 2.00065i | 0.354365 | − | 0.109307i | ||||
\(336\) | 3.08858 | + | 1.48738i | 0.168496 | + | 0.0811433i | ||||
\(337\) | 12.4992 | + | 21.6492i | 0.680872 | + | 1.17931i | 0.974715 | + | 0.223452i | \(0.0717325\pi\) |
−0.293843 | + | 0.955854i | \(0.594934\pi\) | |||||||
\(338\) | 2.11277 | − | 3.65942i | 0.114919 | − | 0.199046i | ||||
\(339\) | 2.46592 | − | 1.68123i | 0.133930 | − | 0.0913121i | ||||
\(340\) | −1.93794 | − | 8.49067i | −0.105100 | − | 0.460471i | ||||
\(341\) | 16.0291 | − | 2.41600i | 0.868024 | − | 0.130834i | ||||
\(342\) | −4.79475 | + | 6.01243i | −0.259271 | + | 0.325115i | ||||
\(343\) | −8.11373 | −0.438100 | ||||||||
\(344\) | −11.9506 | + | 3.16588i | −0.644335 | + | 0.170693i | ||||
\(345\) | −10.7963 | −0.581255 | ||||||||
\(346\) | 8.58864 | − | 10.7698i | 0.461728 | − | 0.578989i | ||||
\(347\) | 10.1285 | − | 1.52662i | 0.543726 | − | 0.0819535i | 0.128564 | − | 0.991701i | \(-0.458963\pi\) |
0.415162 | + | 0.909748i | \(0.363725\pi\) | |||||||
\(348\) | 2.26041 | + | 9.90351i | 0.121171 | + | 0.530884i | ||||
\(349\) | −12.2273 | + | 8.33643i | −0.654512 | + | 0.446239i | −0.844506 | − | 0.535547i | \(-0.820106\pi\) |
0.189994 | + | 0.981785i | \(0.439153\pi\) | |||||||
\(350\) | 0.955571 | − | 1.65510i | 0.0510774 | − | 0.0884687i | ||||
\(351\) | 8.74051 | + | 15.1390i | 0.466534 | + | 0.808060i | ||||
\(352\) | −18.4458 | − | 8.88303i | −0.983164 | − | 0.473467i | ||||
\(353\) | −11.4923 | + | 3.54492i | −0.611675 | + | 0.188677i | −0.585088 | − | 0.810970i | \(-0.698940\pi\) |
−0.0265870 | + | 0.999647i | \(0.508464\pi\) | |||||||
\(354\) | −0.107972 | + | 1.44079i | −0.00573865 | + | 0.0765770i | ||||
\(355\) | −1.50582 | + | 6.59742i | −0.0799205 | + | 0.350155i | ||||
\(356\) | 1.46828 | + | 3.74110i | 0.0778184 | + | 0.198278i | ||||
\(357\) | −0.284599 | − | 3.79771i | −0.0150626 | − | 0.200996i | ||||
\(358\) | 29.3393 | + | 4.42220i | 1.55063 | + | 0.233720i | ||||
\(359\) | −5.64703 | + | 5.23968i | −0.298039 | + | 0.276540i | −0.814990 | − | 0.579475i | \(-0.803257\pi\) |
0.516951 | + | 0.856015i | \(0.327067\pi\) | |||||||
\(360\) | 4.98417 | − | 2.40025i | 0.262689 | − | 0.126504i | ||||
\(361\) | −9.59465 | − | 6.54152i | −0.504981 | − | 0.344290i | ||||
\(362\) | 8.76818 | − | 22.3410i | 0.460845 | − | 1.17421i | ||||
\(363\) | 8.71027 | + | 2.68676i | 0.457171 | + | 0.141019i | ||||
\(364\) | −1.25957 | − | 1.16871i | −0.0660197 | − | 0.0612573i | ||||
\(365\) | 8.19736 | + | 10.2792i | 0.429069 | + | 0.538036i | ||||
\(366\) | 6.26815 | + | 7.86001i | 0.327641 | + | 0.410849i | ||||
\(367\) | −2.35699 | − | 2.18697i | −0.123034 | − | 0.114159i | 0.616256 | − | 0.787546i | \(-0.288648\pi\) |
−0.739290 | + | 0.673387i | \(0.764839\pi\) | |||||||
\(368\) | −25.2476 | − | 7.78785i | −1.31612 | − | 0.405970i | ||||
\(369\) | 6.81807 | − | 17.3721i | 0.354934 | − | 0.904358i | ||||
\(370\) | −3.33466 | − | 2.27354i | −0.173361 | − | 0.118195i | ||||
\(371\) | 1.29152 | − | 0.621963i | 0.0670524 | − | 0.0322907i | ||||
\(372\) | −2.81673 | + | 2.61355i | −0.146041 | + | 0.135506i | ||||
\(373\) | 17.4202 | + | 2.62567i | 0.901984 | + | 0.135952i | 0.583630 | − | 0.812020i | \(-0.301632\pi\) |
0.318354 | + | 0.947972i | \(0.396870\pi\) | |||||||
\(374\) | 3.06011 | + | 40.8343i | 0.158235 | + | 2.11149i | ||||
\(375\) | 5.13101 | + | 13.0736i | 0.264964 | + | 0.675118i | ||||
\(376\) | 1.71489 | − | 7.51341i | 0.0884385 | − | 0.387474i | ||||
\(377\) | −2.38957 | + | 31.8866i | −0.123069 | + | 1.64225i | ||||
\(378\) | −5.20797 | + | 1.60644i | −0.267869 | + | 0.0826266i | ||||
\(379\) | −15.9289 | − | 7.67093i | −0.818210 | − | 0.394029i | −0.0225300 | − | 0.999746i | \(-0.507172\pi\) |
−0.795680 | + | 0.605717i | \(0.792886\pi\) | |||||||
\(380\) | 2.13580 | + | 3.69931i | 0.109564 | + | 0.189771i | ||||
\(381\) | 7.55067 | − | 13.0781i | 0.386833 | − | 0.670014i | ||||
\(382\) | −26.6232 | + | 18.1514i | −1.36216 | + | 0.928707i | ||||
\(383\) | −5.53953 | − | 24.2703i | −0.283057 | − | 1.24015i | −0.893851 | − | 0.448364i | \(-0.852007\pi\) |
0.610795 | − | 0.791789i | \(-0.290850\pi\) | |||||||
\(384\) | −14.5896 | + | 2.19903i | −0.744522 | + | 0.112219i | ||||
\(385\) | 2.84088 | − | 3.56235i | 0.144784 | − | 0.181554i | ||||
\(386\) | −36.0272 | −1.83374 | ||||||||
\(387\) | 5.83137 | − | 9.22244i | 0.296425 | − | 0.468803i | ||||
\(388\) | 0.164841 | 0.00836852 | ||||||||
\(389\) | −4.19252 | + | 5.25726i | −0.212569 | + | 0.266554i | −0.876673 | − | 0.481087i | \(-0.840242\pi\) |
0.664103 | + | 0.747641i | \(0.268813\pi\) | |||||||
\(390\) | 11.1129 | − | 1.67500i | 0.562722 | − | 0.0848167i | ||||
\(391\) | 6.53155 | + | 28.6166i | 0.330315 | + | 1.44720i | ||||
\(392\) | 10.3534 | − | 7.05883i | 0.522926 | − | 0.356525i | ||||
\(393\) | 6.22703 | − | 10.7855i | 0.314112 | − | 0.544058i | ||||
\(394\) | −2.39983 | − | 4.15663i | −0.120902 | − | 0.209408i | ||||
\(395\) | 21.2792 | + | 10.2475i | 1.07067 | + | 0.515608i | ||||
\(396\) | 6.15838 | − | 1.89961i | 0.309470 | − | 0.0954590i | ||||
\(397\) | −1.52068 | + | 20.2921i | −0.0763210 | + | 1.01843i | 0.819227 | + | 0.573469i | \(0.194403\pi\) |
−0.895548 | + | 0.444964i | \(0.853216\pi\) | |||||||
\(398\) | 0.00491511 | − | 0.0215345i | 0.000246372 | − | 0.00107943i | ||||
\(399\) | 0.682428 | + | 1.73880i | 0.0341641 | + | 0.0870488i | ||||
\(400\) | 0.704675 | + | 9.40324i | 0.0352338 | + | 0.470162i | ||||
\(401\) | −0.190899 | − | 0.0287734i | −0.00953303 | − | 0.00143687i | 0.144274 | − | 0.989538i | \(-0.453915\pi\) |
−0.153807 | + | 0.988101i | \(0.549153\pi\) | |||||||
\(402\) | 5.54550 | − | 5.14547i | 0.276584 | − | 0.256633i | ||||
\(403\) | −10.8976 | + | 5.24799i | −0.542846 | + | 0.261421i | ||||
\(404\) | 3.03978 | + | 2.07248i | 0.151234 | + | 0.103110i | ||||
\(405\) | 0.798408 | − | 2.03431i | 0.0396732 | − | 0.101086i | ||||
\(406\) | −9.52634 | − | 2.93849i | −0.472784 | − | 0.145835i | ||||
\(407\) | 4.28804 | + | 3.97872i | 0.212550 | + | 0.197218i | ||||
\(408\) | 7.52926 | + | 9.44140i | 0.372754 | + | 0.467419i | ||||
\(409\) | −0.306947 | − | 0.384900i | −0.0151776 | − | 0.0190321i | 0.774185 | − | 0.632960i | \(-0.218160\pi\) |
−0.789362 | + | 0.613928i | \(0.789589\pi\) | |||||||
\(410\) | −24.6516 | − | 22.8734i | −1.21746 | − | 1.12963i | ||||
\(411\) | −8.87723 | − | 2.73826i | −0.437881 | − | 0.135069i | ||||
\(412\) | 5.12288 | − | 13.0529i | 0.252386 | − | 0.643070i | ||||
\(413\) | −0.361137 | − | 0.246219i | −0.0177704 | − | 0.0121157i | ||||
\(414\) | 13.5024 | − | 6.50242i | 0.663607 | − | 0.319576i | ||||
\(415\) | 10.0738 | − | 9.34711i | 0.494503 | − | 0.458831i | ||||
\(416\) | 15.1057 | + | 2.27682i | 0.740620 | + | 0.111630i | ||||
\(417\) | 1.89068 | + | 25.2293i | 0.0925868 | + | 1.23549i | ||||
\(418\) | −7.33771 | − | 18.6962i | −0.358899 | − | 0.914460i | ||||
\(419\) | 3.57770 | − | 15.6749i | 0.174782 | − | 0.765770i | −0.809204 | − | 0.587527i | \(-0.800102\pi\) |
0.983986 | − | 0.178243i | \(-0.0570413\pi\) | |||||||
\(420\) | −0.0807128 | + | 1.07704i | −0.00393838 | + | 0.0525541i | ||||
\(421\) | −34.8128 | + | 10.7383i | −1.69667 | + | 0.523355i | −0.984004 | − | 0.178145i | \(-0.942990\pi\) |
−0.712670 | + | 0.701500i | \(0.752514\pi\) | |||||||
\(422\) | 3.32186 | + | 1.59972i | 0.161706 | + | 0.0778734i | ||||
\(423\) | 3.40091 | + | 5.89055i | 0.165358 | + | 0.286408i | ||||
\(424\) | −2.27272 | + | 3.93647i | −0.110373 | + | 0.191172i | ||||
\(425\) | 8.65542 | − | 5.90117i | 0.419850 | − | 0.286249i | ||||
\(426\) | 1.67830 | + | 7.35310i | 0.0813138 | + | 0.356259i | ||||
\(427\) | −3.00734 | + | 0.453284i | −0.145535 | + | 0.0219359i | ||||
\(428\) | 0.0297190 | − | 0.0372665i | 0.00143652 | − | 0.00180134i | ||||
\(429\) | −16.2885 | −0.786417 | ||||||||
\(430\) | −11.6308 | − | 15.8530i | −0.560887 | − | 0.764501i | ||||
\(431\) | 8.13149 | 0.391680 | 0.195840 | − | 0.980636i | \(-0.437257\pi\) | ||||
0.195840 | + | 0.980636i | \(0.437257\pi\) | |||||||
\(432\) | 16.7662 | − | 21.0241i | 0.806663 | − | 1.01152i | ||||
\(433\) | 27.2335 | − | 4.10478i | 1.30876 | − | 0.197263i | 0.542640 | − | 0.839965i | \(-0.317425\pi\) |
0.766116 | + | 0.642702i | \(0.222187\pi\) | |||||||
\(434\) | −0.839127 | − | 3.67646i | −0.0402794 | − | 0.176476i | ||||
\(435\) | 16.6069 | − | 11.3224i | 0.796239 | − | 0.542867i | ||||
\(436\) | 2.33948 | − | 4.05210i | 0.112041 | − | 0.194060i | ||||
\(437\) | −7.19840 | − | 12.4680i | −0.344346 | − | 0.596425i | ||||
\(438\) | 13.2023 | + | 6.35791i | 0.630832 | + | 0.303793i | ||||
\(439\) | −35.6148 | + | 10.9857i | −1.69980 | + | 0.524320i | −0.984634 | − | 0.174631i | \(-0.944127\pi\) |
−0.715170 | + | 0.698951i | \(0.753651\pi\) | |||||||
\(440\) | −1.07970 | + | 14.4076i | −0.0514727 | + | 0.686856i | ||||
\(441\) | −2.46098 | + | 10.7823i | −0.117190 | + | 0.513442i | ||||
\(442\) | −11.1628 | − | 28.4423i | −0.530959 | − | 1.35286i | ||||
\(443\) | −0.409109 | − | 5.45918i | −0.0194373 | − | 0.259373i | −0.998454 | − | 0.0555912i | \(-0.982296\pi\) |
0.979016 | − | 0.203782i | \(-0.0653234\pi\) | |||||||
\(444\) | −1.37110 | − | 0.206660i | −0.0650696 | − | 0.00980767i | ||||
\(445\) | 5.82921 | − | 5.40872i | 0.276331 | − | 0.256398i | ||||
\(446\) | −5.78479 | + | 2.78581i | −0.273918 | + | 0.131912i | ||||
\(447\) | −15.7668 | − | 10.7496i | −0.745745 | − | 0.508440i | ||||
\(448\) | 0.427024 | − | 1.08804i | 0.0201750 | − | 0.0514050i | ||||
\(449\) | 21.7205 | + | 6.69990i | 1.02506 | + | 0.316188i | 0.761298 | − | 0.648402i | \(-0.224562\pi\) |
0.263757 | + | 0.964589i | \(0.415038\pi\) | |||||||
\(450\) | −3.92079 | − | 3.63796i | −0.184828 | − | 0.171495i | ||||
\(451\) | 30.3891 | + | 38.1067i | 1.43096 | + | 1.79437i | ||||
\(452\) | 1.43477 | + | 1.79914i | 0.0674857 | + | 0.0846244i | ||||
\(453\) | −13.4462 | − | 12.4762i | −0.631757 | − | 0.586185i | ||||
\(454\) | −26.9393 | − | 8.30968i | −1.26433 | − | 0.389993i | ||||
\(455\) | −1.24209 | + | 3.16480i | −0.0582301 | + | 0.148368i | ||||
\(456\) | −4.89383 | − | 3.33656i | −0.229175 | − | 0.156249i | ||||
\(457\) | 29.8326 | − | 14.3666i | 1.39551 | − | 0.672042i | 0.423264 | − | 0.906006i | \(-0.360884\pi\) |
0.972245 | + | 0.233964i | \(0.0751699\pi\) | |||||||
\(458\) | 0.964727 | − | 0.895136i | 0.0450787 | − | 0.0418269i | ||||
\(459\) | −29.5404 | − | 4.45250i | −1.37883 | − | 0.207825i | ||||
\(460\) | −0.622085 | − | 8.30115i | −0.0290049 | − | 0.387043i | ||||
\(461\) | −5.47361 | − | 13.9465i | −0.254931 | − | 0.649555i | 0.744914 | − | 0.667161i | \(-0.232491\pi\) |
−0.999845 | + | 0.0176063i | \(0.994395\pi\) | |||||||
\(462\) | 1.13003 | − | 4.95099i | 0.0525738 | − | 0.230341i | ||||
\(463\) | 1.36296 | − | 18.1874i | 0.0633419 | − | 0.845239i | −0.871550 | − | 0.490307i | \(-0.836885\pi\) |
0.934892 | − | 0.354932i | \(-0.115496\pi\) | |||||||
\(464\) | 47.0031 | − | 14.4985i | 2.18207 | − | 0.673078i | ||||
\(465\) | 6.84994 | + | 3.29876i | 0.317658 | + | 0.152976i | ||||
\(466\) | 22.0844 | + | 38.2513i | 1.02304 | + | 1.77196i | ||||
\(467\) | −1.73991 | + | 3.01362i | −0.0805135 | + | 0.139454i | −0.903471 | − | 0.428650i | \(-0.858989\pi\) |
0.822957 | + | 0.568104i | \(0.192323\pi\) | |||||||
\(468\) | −3.97320 | + | 2.70888i | −0.183661 | + | 0.125218i | ||||
\(469\) | 0.509246 | + | 2.23115i | 0.0235148 | + | 0.103025i | ||||
\(470\) | 12.1198 | − | 1.82676i | 0.559044 | − | 0.0842624i | ||||
\(471\) | −4.73212 | + | 5.93389i | −0.218044 | + | 0.273419i | ||||
\(472\) | 1.38596 | 0.0637941 | ||||||||
\(473\) | 13.2445 | + | 25.2326i | 0.608981 | + | 1.16020i | ||||
\(474\) | 26.3233 | 1.20907 | ||||||||
\(475\) | −3.20356 | + | 4.01713i | −0.146989 | + | 0.184319i | ||||
\(476\) | 2.90361 | − | 0.437649i | 0.133087 | − | 0.0200596i | ||||
\(477\) | −0.892706 | − | 3.91120i | −0.0408742 | − | 0.179082i | ||||
\(478\) | 4.95314 | − | 3.37700i | 0.226552 | − | 0.154460i | ||||
\(479\) | −11.9934 | + | 20.7733i | −0.547994 | + | 0.949154i | 0.450417 | + | 0.892818i | \(0.351275\pi\) |
−0.998412 | + | 0.0563362i | \(0.982058\pi\) | |||||||
\(480\) | −4.80118 | − | 8.31588i | −0.219143 | − | 0.379566i | ||||
\(481\) | −3.93247 | − | 1.89378i | −0.179305 | − | 0.0863489i | ||||
\(482\) | −31.7090 | + | 9.78093i | −1.44431 | + | 0.445509i | ||||
\(483\) | 0.272031 | − | 3.63000i | 0.0123778 | − | 0.165171i | ||||
\(484\) | −1.56393 | + | 6.85203i | −0.0710878 | + | 0.311456i | ||||
\(485\) | −0.119160 | − | 0.303614i | −0.00541076 | − | 0.0137864i | ||||
\(486\) | 1.87303 | + | 24.9938i | 0.0849622 | + | 1.13374i | ||||
\(487\) | 4.37068 | + | 0.658774i | 0.198054 | + | 0.0298519i | 0.247320 | − | 0.968934i | \(-0.420450\pi\) |
−0.0492658 | + | 0.998786i | \(0.515688\pi\) | |||||||
\(488\) | 7.06937 | − | 6.55941i | 0.320015 | − | 0.296931i | ||||
\(489\) | 13.2285 | − | 6.37051i | 0.598213 | − | 0.288084i | ||||
\(490\) | 16.4661 | + | 11.2264i | 0.743864 | + | 0.507158i | ||||
\(491\) | 5.72014 | − | 14.5747i | 0.258146 | − | 0.657746i | −0.741770 | − | 0.670654i | \(-0.766014\pi\) |
0.999917 | + | 0.0129076i | \(0.00410874\pi\) | |||||||
\(492\) | −11.0402 | − | 3.40544i | −0.497729 | − | 0.153529i | ||||
\(493\) | −40.0578 | − | 37.1682i | −1.80411 | − | 1.67397i | ||||
\(494\) | 9.34380 | + | 11.7168i | 0.420398 | + | 0.527162i | ||||
\(495\) | −7.95057 | − | 9.96970i | −0.357351 | − | 0.448105i | ||||
\(496\) | 13.6393 | + | 12.6554i | 0.612423 | + | 0.568245i | ||||
\(497\) | −2.18028 | − | 0.672528i | −0.0977990 | − | 0.0301670i | ||||
\(498\) | 5.59568 | − | 14.2576i | 0.250748 | − | 0.638896i | ||||
\(499\) | 31.1162 | + | 21.2146i | 1.39295 | + | 0.949698i | 0.999540 | + | 0.0303356i | \(0.00965760\pi\) |
0.393411 | + | 0.919363i | \(0.371295\pi\) | |||||||
\(500\) | −9.75648 | + | 4.69847i | −0.436323 | + | 0.210122i | ||||
\(501\) | −14.1258 | + | 13.1068i | −0.631093 | + | 0.585569i | ||||
\(502\) | −14.9758 | − | 2.25723i | −0.668401 | − | 0.100745i | ||||
\(503\) | −2.31985 | − | 30.9562i | −0.103437 | − | 1.38027i | −0.771530 | − | 0.636193i | \(-0.780508\pi\) |
0.668093 | − | 0.744077i | \(-0.267111\pi\) | |||||||
\(504\) | 0.681441 | + | 1.73628i | 0.0303538 | + | 0.0773402i | ||||
\(505\) | 1.61984 | − | 7.09699i | 0.0720820 | − | 0.315812i | ||||
\(506\) | −2.92498 | + | 39.0311i | −0.130031 | + | 1.73514i | ||||
\(507\) | −2.74481 | + | 0.846663i | −0.121901 | + | 0.0376016i | ||||
\(508\) | 10.4907 | + | 5.05205i | 0.465449 | + | 0.224148i | ||||
\(509\) | −2.32607 | − | 4.02888i | −0.103101 | − | 0.178577i | 0.809860 | − | 0.586624i | \(-0.199543\pi\) |
−0.912961 | + | 0.408047i | \(0.866210\pi\) | |||||||
\(510\) | −9.60289 | + | 16.6327i | −0.425223 | + | 0.736508i | ||||
\(511\) | −3.66267 | + | 2.49716i | −0.162027 | + | 0.110468i | ||||
\(512\) | −1.04382 | − | 4.57329i | −0.0461309 | − | 0.202113i | ||||
\(513\) | 14.4889 | − | 2.18386i | 0.639702 | − | 0.0964196i | ||||
\(514\) | 0.103977 | − | 0.130383i | 0.00458622 | − | 0.00575094i | ||||
\(515\) | −27.7448 | −1.22258 | ||||||||
\(516\) | −5.96328 | − | 3.17334i | −0.262519 | − | 0.139699i | ||||
\(517\) | −17.7644 | −0.781277 | ||||||||
\(518\) | 0.848443 | − | 1.06391i | 0.0372785 | − | 0.0467457i | ||||
\(519\) | −9.25943 | + | 1.39563i | −0.406444 | + | 0.0612616i | ||||
\(520\) | −2.39889 | − | 10.5102i | −0.105198 | − | 0.460905i | ||||
\(521\) | −5.84633 | + | 3.98596i | −0.256132 | + | 0.174628i | −0.684578 | − | 0.728939i | \(-0.740014\pi\) |
0.428446 | + | 0.903567i | \(0.359061\pi\) | |||||||
\(522\) | −13.9501 | + | 24.1623i | −0.610581 | + | 1.05756i | ||||
\(523\) | −2.20635 | − | 3.82151i | −0.0964770 | − | 0.167103i | 0.813747 | − | 0.581219i | \(-0.197424\pi\) |
−0.910224 | + | 0.414116i | \(0.864091\pi\) | |||||||
\(524\) | 8.65166 | + | 4.16642i | 0.377949 | + | 0.182011i | ||||
\(525\) | −1.24144 | + | 0.382932i | −0.0541807 | + | 0.0167125i | ||||
\(526\) | −0.0589425 | + | 0.786533i | −0.00257002 | + | 0.0342945i | ||||
\(527\) | 4.59957 | − | 20.1520i | 0.200361 | − | 0.877837i | ||||
\(528\) | 9.15415 | + | 23.3244i | 0.398383 | + | 1.01506i | ||||
\(529\) | 0.377858 | + | 5.04216i | 0.0164286 | + | 0.219224i | ||||
\(530\) | −7.14838 | − | 1.07744i | −0.310506 | − | 0.0468012i | ||||
\(531\) | −0.896700 | + | 0.832016i | −0.0389135 | + | 0.0361064i | ||||
\(532\) | −1.29762 | + | 0.624900i | −0.0562589 | + | 0.0270928i | ||||
\(533\) | −30.0487 | − | 20.4869i | −1.30155 | − | 0.887384i | ||||
\(534\) | 3.23795 | − | 8.25016i | 0.140120 | − | 0.357019i | ||||
\(535\) | −0.0901228 | − | 0.0277992i | −0.00389635 | − | 0.00120186i | ||||
\(536\) | −5.31957 | − | 4.93584i | −0.229770 | − | 0.213196i | ||||
\(537\) | −12.5755 | − | 15.7692i | −0.542673 | − | 0.680490i | ||||
\(538\) | 22.7161 | + | 28.4851i | 0.979360 | + | 1.22808i | ||||
\(539\) | −21.1738 | − | 19.6464i | −0.912018 | − | 0.846229i | ||||
\(540\) | 8.09593 | + | 2.49726i | 0.348394 | + | 0.107465i | ||||
\(541\) | −6.23494 | + | 15.8864i | −0.268061 | + | 0.683009i | 0.731937 | + | 0.681372i | \(0.238616\pi\) |
−0.999999 | + | 0.00163693i | \(0.999479\pi\) | |||||||
\(542\) | −13.2887 | − | 9.06007i | −0.570798 | − | 0.389163i | ||||
\(543\) | −14.6990 | + | 7.07867i | −0.630795 | + | 0.303775i | ||||
\(544\) | −19.1374 | + | 17.7569i | −0.820507 | + | 0.761320i | ||||
\(545\) | −9.15456 | − | 1.37983i | −0.392138 | − | 0.0591053i | ||||
\(546\) | 0.283170 | + | 3.77864i | 0.0121185 | + | 0.161711i | ||||
\(547\) | 3.72664 | + | 9.49533i | 0.159340 | + | 0.405991i | 0.988140 | − | 0.153553i | \(-0.0490715\pi\) |
−0.828801 | + | 0.559544i | \(0.810976\pi\) | |||||||
\(548\) | 1.59391 | − | 6.98336i | 0.0680883 | − | 0.298315i | ||||
\(549\) | −0.636066 | + | 8.48771i | −0.0271466 | + | 0.362247i | ||||
\(550\) | 13.3484 | − | 4.11742i | 0.569176 | − | 0.175568i | ||||
\(551\) | 24.1481 | + | 11.6291i | 1.02874 | + | 0.495416i | ||||
\(552\) | 5.77136 | + | 9.99629i | 0.245645 | + | 0.425470i | ||||
\(553\) | −3.98164 | + | 6.89640i | −0.169316 | + | 0.293265i | ||||
\(554\) | 17.8590 | − | 12.1761i | 0.758757 | − | 0.517312i | ||||
\(555\) | 0.610499 | + | 2.67477i | 0.0259142 | + | 0.113538i | ||||
\(556\) | −19.2896 | + | 2.90743i | −0.818060 | + | 0.123303i | ||||
\(557\) | 19.5750 | − | 24.5463i | 0.829419 | − | 1.04006i | −0.169097 | − | 0.985599i | \(-0.554085\pi\) |
0.998516 | − | 0.0544591i | \(-0.0173435\pi\) | |||||||
\(558\) | −10.5537 | −0.446772 | ||||||||
\(559\) | −14.9930 | − | 15.0782i | −0.634135 | − | 0.637740i | ||||
\(560\) | 5.22990 | 0.221004 | ||||||||
\(561\) | 17.3555 | − | 21.7632i | 0.732752 | − | 0.918842i | ||||
\(562\) | −32.6951 | + | 4.92799i | −1.37916 | + | 0.207875i | ||||
\(563\) | 8.39490 | + | 36.7805i | 0.353803 | + | 1.55011i | 0.768317 | + | 0.640069i | \(0.221094\pi\) |
−0.414515 | + | 0.910043i | \(0.636049\pi\) | |||||||
\(564\) | 3.47921 | − | 2.37208i | 0.146501 | − | 0.0998827i | ||||
\(565\) | 2.27660 | − | 3.94319i | 0.0957775 | − | 0.165891i | ||||
\(566\) | −2.09678 | − | 3.63174i | −0.0881344 | − | 0.152653i | ||||
\(567\) | 0.663871 | + | 0.319703i | 0.0278799 | + | 0.0134263i | ||||
\(568\) | 6.91349 | − | 2.13253i | 0.290084 | − | 0.0894790i | ||||
\(569\) | 0.270303 | − | 3.60694i | 0.0113317 | − | 0.151211i | −0.988668 | − | 0.150120i | \(-0.952034\pi\) |
0.999999 | − | 0.00109048i | \(-0.000347110\pi\) | |||||||
\(570\) | 2.09615 | − | 9.18385i | 0.0877982 | − | 0.384669i | ||||
\(571\) | 5.62048 | + | 14.3207i | 0.235210 | + | 0.599304i | 0.998930 | − | 0.0462426i | \(-0.0147247\pi\) |
−0.763721 | + | 0.645547i | \(0.776629\pi\) | |||||||
\(572\) | −0.938546 | − | 12.5240i | −0.0392426 | − | 0.523656i | ||||
\(573\) | 21.6593 | + | 3.26461i | 0.904830 | + | 0.136381i | ||||
\(574\) | 8.31175 | − | 7.71218i | 0.346926 | − | 0.321900i | ||||
\(575\) | 9.02147 | − | 4.34451i | 0.376221 | − | 0.181179i | ||||
\(576\) | −2.70275 | − | 1.84270i | −0.112614 | − | 0.0767792i | ||||
\(577\) | 11.6350 | − | 29.6454i | 0.484370 | − | 1.23416i | −0.454766 | − | 0.890611i | \(-0.650277\pi\) |
0.939136 | − | 0.343545i | \(-0.111628\pi\) | |||||||
\(578\) | 22.2740 | + | 6.87062i | 0.926477 | + | 0.285780i | ||||
\(579\) | 17.9528 | + | 16.6578i | 0.746093 | + | 0.692274i | ||||
\(580\) | 9.66252 | + | 12.1164i | 0.401214 | + | 0.503107i | ||||
\(581\) | 2.88891 | + | 3.62258i | 0.119852 | + | 0.150290i | ||||
\(582\) | −0.266478 | − | 0.247255i | −0.0110459 | − | 0.0102491i | ||||
\(583\) | 10.0121 | + | 3.08833i | 0.414660 | + | 0.127906i | ||||
\(584\) | 5.13541 | − | 13.0848i | 0.212505 | − | 0.541454i | ||||
\(585\) | 7.86152 | + | 5.35989i | 0.325034 | + | 0.221604i | ||||
\(586\) | 33.3828 | − | 16.0763i | 1.37903 | − | 0.664106i | ||||
\(587\) | −13.6300 | + | 12.6468i | −0.562570 | + | 0.521989i | −0.909391 | − | 0.415943i | \(-0.863452\pi\) |
0.346821 | + | 0.937931i | \(0.387261\pi\) | |||||||
\(588\) | 6.77032 | + | 1.02046i | 0.279203 | + | 0.0420831i | ||||
\(589\) | 0.757639 | + | 10.1100i | 0.0312180 | + | 0.416575i | ||||
\(590\) | 0.805302 | + | 2.05188i | 0.0331538 | + | 0.0844744i | ||||
\(591\) | −0.726020 | + | 3.18090i | −0.0298645 | + | 0.130845i | ||||
\(592\) | −0.501753 | + | 6.69542i | −0.0206219 | + | 0.275180i | ||||
\(593\) | 3.28071 | − | 1.01197i | 0.134723 | − | 0.0415564i | −0.226661 | − | 0.973974i | \(-0.572781\pi\) |
0.361383 | + | 0.932417i | \(0.382305\pi\) | |||||||
\(594\) | −35.8910 | − | 17.2842i | −1.47262 | − | 0.709178i | ||||
\(595\) | −2.90504 | − | 5.03168i | −0.119095 | − | 0.206279i | ||||
\(596\) | 7.35677 | − | 12.7423i | 0.301345 | − | 0.521945i | ||||
\(597\) | −0.0124061 | + | 0.00845833i | −0.000507748 | + | 0.000346177i | ||||
\(598\) | −6.49875 | − | 28.4729i | −0.265754 | − | 1.16434i | ||||
\(599\) | −18.5193 | + | 2.79133i | −0.756677 | + | 0.114051i | −0.516040 | − | 0.856564i | \(-0.672594\pi\) |
−0.240637 | + | 0.970615i | \(0.577356\pi\) | |||||||
\(600\) | 2.56847 | − | 3.22076i | 0.104857 | − | 0.131487i | ||||
\(601\) | −4.01565 | −0.163802 | −0.0819010 | − | 0.996640i | \(-0.526099\pi\) | ||||
−0.0819010 | + | 0.996640i | \(0.526099\pi\) | |||||||
\(602\) | 5.62326 | − | 3.51113i | 0.229187 | − | 0.143103i | ||||
\(603\) | 6.40475 | 0.260822 | ||||||||
\(604\) | 8.81805 | − | 11.0575i | 0.358801 | − | 0.449923i | ||||
\(605\) | 13.7510 | − | 2.07263i | 0.559058 | − | 0.0842644i | ||||
\(606\) | −1.80538 | − | 7.90990i | −0.0733386 | − | 0.321318i | ||||
\(607\) | 21.0791 | − | 14.3715i | 0.855573 | − | 0.583319i | −0.0541516 | − | 0.998533i | \(-0.517245\pi\) |
0.909724 | + | 0.415213i | \(0.136293\pi\) | |||||||
\(608\) | 6.40232 | − | 11.0892i | 0.259649 | − | 0.449724i | ||||
\(609\) | 3.38844 | + | 5.86895i | 0.137306 | + | 0.237822i | ||||
\(610\) | 13.8186 | + | 6.65469i | 0.559499 | + | 0.269441i | ||||
\(611\) | 12.6662 | − | 3.90701i | 0.512420 | − | 0.158061i | ||||
\(612\) | 0.614127 | − | 8.19495i | 0.0248246 | − | 0.331261i | ||||
\(613\) | 3.94359 | − | 17.2780i | 0.159280 | − | 0.697851i | −0.830709 | − | 0.556707i | \(-0.812065\pi\) |
0.989989 | − | 0.141144i | \(-0.0450781\pi\) | |||||||
\(614\) | −12.3842 | − | 31.5543i | −0.499784 | − | 1.27343i | ||||
\(615\) | 1.70834 | + | 22.7962i | 0.0688868 | + | 0.919230i | ||||
\(616\) | −4.81700 | − | 0.726047i | −0.194083 | − | 0.0292533i | ||||
\(617\) | −9.87536 | + | 9.16299i | −0.397567 | + | 0.368888i | −0.853471 | − | 0.521141i | \(-0.825507\pi\) |
0.455904 | + | 0.890029i | \(0.349316\pi\) | |||||||
\(618\) | −27.8605 | + | 13.4169i | −1.12071 | + | 0.539706i | ||||
\(619\) | 25.1021 | + | 17.1143i | 1.00894 | + | 0.687882i | 0.950601 | − | 0.310415i | \(-0.100468\pi\) |
0.0583365 | + | 0.998297i | \(0.481420\pi\) | |||||||
\(620\) | −2.14168 | + | 5.45691i | −0.0860119 | + | 0.219155i | ||||
\(621\) | −27.2862 | − | 8.41667i | −1.09496 | − | 0.337749i | ||||
\(622\) | 7.34786 | + | 6.81781i | 0.294622 | + | 0.273369i | ||||
\(623\) | 1.67167 | + | 2.09621i | 0.0669742 | + | 0.0839830i | ||||
\(624\) | −11.6569 | − | 14.6172i | −0.466648 | − | 0.585158i | ||||
\(625\) | 8.77788 | + | 8.14468i | 0.351115 | + | 0.325787i | ||||
\(626\) | 34.0592 | + | 10.5059i | 1.36128 | + | 0.419899i | ||||
\(627\) | −4.98802 | + | 12.7093i | −0.199202 | + | 0.507559i | ||||
\(628\) | −4.83515 | − | 3.29655i | −0.192944 | − | 0.131547i | ||||
\(629\) | 6.72037 | − | 3.23636i | 0.267959 | − | 0.129042i | ||||
\(630\) | −2.17457 | + | 2.01771i | −0.0866369 | + | 0.0803873i | ||||
\(631\) | 5.70762 | + | 0.860285i | 0.227217 | + | 0.0342474i | 0.261664 | − | 0.965159i | \(-0.415729\pi\) |
−0.0344469 | + | 0.999407i | \(0.510967\pi\) | |||||||
\(632\) | −1.88700 | − | 25.1803i | −0.0750609 | − | 1.00162i | ||||
\(633\) | −0.915667 | − | 2.33308i | −0.0363945 | − | 0.0927317i | ||||
\(634\) | −8.21892 | + | 36.0094i | −0.326415 | + | 1.43012i | ||||
\(635\) | 1.72169 | − | 22.9744i | 0.0683233 | − | 0.911711i | ||||
\(636\) | −2.37329 | + | 0.732062i | −0.0941070 | + | 0.0290282i | ||||
\(637\) | 19.4180 | + | 9.35123i | 0.769370 | + | 0.370509i | ||||
\(638\) | −36.4337 | − | 63.1050i | −1.44242 | − | 2.49835i | ||||
\(639\) | −3.19275 | + | 5.53000i | −0.126303 | + | 0.218763i | ||||
\(640\) | −18.5982 | + | 12.6800i | −0.735159 | + | 0.501223i | ||||
\(641\) | 2.67792 | + | 11.7327i | 0.105772 | + | 0.463415i | 0.999879 | + | 0.0155626i | \(0.00495394\pi\) |
−0.894107 | + | 0.447853i | \(0.852189\pi\) | |||||||
\(642\) | −0.103942 | + | 0.0156667i | −0.00410225 | + | 0.000618314i | ||||
\(643\) | −26.5269 | + | 33.2637i | −1.04612 | + | 1.31179i | −0.0975487 | + | 0.995231i | \(0.531100\pi\) |
−0.948572 | + | 0.316563i | \(0.897471\pi\) | |||||||
\(644\) | 2.80674 | 0.110601 | ||||||||
\(645\) | −1.53414 | + | 13.2775i | −0.0604067 | + | 0.522800i | ||||
\(646\) | −25.6107 | −1.00764 | ||||||||
\(647\) | −18.0570 | + | 22.6428i | −0.709894 | + | 0.890179i | −0.997719 | − | 0.0675040i | \(-0.978496\pi\) |
0.287825 | + | 0.957683i | \(0.407068\pi\) | |||||||
\(648\) | −2.31037 | + | 0.348232i | −0.0907598 | + | 0.0136798i | ||||
\(649\) | −0.710900 | − | 3.11466i | −0.0279053 | − | 0.122261i | ||||
\(650\) | −8.61196 | + | 5.87153i | −0.337789 | + | 0.230300i | ||||
\(651\) | −1.28172 | + | 2.22001i | −0.0502347 | + | 0.0870090i | ||||
\(652\) | 5.66043 | + | 9.80415i | 0.221679 | + | 0.383960i | ||||
\(653\) | 2.42189 | + | 1.16632i | 0.0947758 | + | 0.0456416i | 0.480671 | − | 0.876901i | \(-0.340393\pi\) |
−0.385895 | + | 0.922543i | \(0.626107\pi\) | |||||||
\(654\) | −9.85997 | + | 3.04140i | −0.385555 | + | 0.118928i | ||||
\(655\) | 1.41988 | − | 18.9470i | 0.0554792 | − | 0.740319i | ||||
\(656\) | −12.4488 | + | 54.5420i | −0.486046 | + | 2.12951i | ||||
\(657\) | 4.53248 | + | 11.5486i | 0.176829 | + | 0.450553i | ||||
\(658\) | 0.308827 | + | 4.12101i | 0.0120393 | + | 0.160654i | ||||
\(659\) | −7.71731 | − | 1.16320i | −0.300624 | − | 0.0453117i | −0.00300156 | − | 0.999995i | \(-0.500955\pi\) |
−0.297622 | + | 0.954684i | \(0.596194\pi\) | |||||||
\(660\) | −5.78699 | + | 5.36954i | −0.225258 | + | 0.209009i | ||||
\(661\) | −3.05815 | + | 1.47273i | −0.118948 | + | 0.0572824i | −0.492411 | − | 0.870363i | \(-0.663884\pi\) |
0.373463 | + | 0.927645i | \(0.378170\pi\) | |||||||
\(662\) | −13.3228 | − | 9.08333i | −0.517805 | − | 0.353034i | ||||
\(663\) | −7.58821 | + | 19.3345i | −0.294702 | + | 0.750888i | ||||
\(664\) | −14.0396 | − | 4.33064i | −0.544841 | − | 0.168061i | ||||
\(665\) | 2.08900 | + | 1.93830i | 0.0810078 | + | 0.0751642i | ||||
\(666\) | −2.37448 | − | 2.97751i | −0.0920093 | − | 0.115376i | ||||
\(667\) | −32.5662 | − | 40.8367i | −1.26097 | − | 1.58120i | ||||
\(668\) | −10.8916 | − | 10.1059i | −0.421408 | − | 0.391010i | ||||
\(669\) | 4.17070 | + | 1.28649i | 0.161248 | + | 0.0497386i | ||||
\(670\) | 4.21647 | − | 10.7434i | 0.162896 | − | 0.415053i | ||||
\(671\) | −18.3670 | − | 12.5224i | −0.709049 | − | 0.483421i | ||||
\(672\) | 2.91699 | − | 1.40475i | 0.112525 | − | 0.0541893i | ||||
\(673\) | 11.9248 | − | 11.0646i | 0.459669 | − | 0.426510i | −0.416043 | − | 0.909345i | \(-0.636583\pi\) |
0.875712 | + | 0.482835i | \(0.160393\pi\) | |||||||
\(674\) | 42.0314 | + | 6.33521i | 1.61899 | + | 0.244023i | ||||
\(675\) | 0.761574 | + | 10.1625i | 0.0293130 | + | 0.391155i | ||||
\(676\) | −0.809145 | − | 2.06167i | −0.0311209 | − | 0.0792949i | ||||
\(677\) | −0.535224 | + | 2.34497i | −0.0205703 | + | 0.0901246i | −0.984171 | − | 0.177221i | \(-0.943289\pi\) |
0.963601 | + | 0.267345i | \(0.0861465\pi\) | |||||||
\(678\) | 0.379236 | − | 5.06055i | 0.0145645 | − | 0.194349i | ||||
\(679\) | 0.105085 | − | 0.0324145i | 0.00403280 | − | 0.00124395i | ||||
\(680\) | 16.5988 | + | 7.99357i | 0.636536 | + | 0.306540i | ||||
\(681\) | 9.58209 | + | 16.5967i | 0.367187 | + | 0.635986i | ||||
\(682\) | 13.7815 | − | 23.8703i | 0.527723 | − | 0.914042i | ||||
\(683\) | 3.95745 | − | 2.69814i | 0.151428 | − | 0.103242i | −0.485236 | − | 0.874383i | \(-0.661266\pi\) |
0.636664 | + | 0.771142i | \(0.280314\pi\) | |||||||
\(684\) | 0.896920 | + | 3.92966i | 0.0342946 | + | 0.150254i | ||||
\(685\) | −14.0146 | + | 2.11236i | −0.535470 | + | 0.0807091i | ||||
\(686\) | −8.60183 | + | 10.7864i | −0.328419 | + | 0.411825i | ||||
\(687\) | −0.894617 | −0.0341318 | ||||||||
\(688\) | −13.1652 | + | 29.9432i | −0.501920 | + | 1.14157i | ||||
\(689\) | −7.81798 | −0.297841 | ||||||||
\(690\) | −11.4458 | + | 14.3526i | −0.435734 | + | 0.546393i | ||||
\(691\) | 17.5752 | − | 2.64903i | 0.668591 | − | 0.100774i | 0.194029 | − | 0.980996i | \(-0.437844\pi\) |
0.474562 | + | 0.880222i | \(0.342606\pi\) | |||||||
\(692\) | −1.60662 | − | 7.03904i | −0.0610743 | − | 0.267584i | ||||
\(693\) | 3.55240 | − | 2.42198i | 0.134944 | − | 0.0920035i | ||||
\(694\) | 8.70830 | − | 15.0832i | 0.330563 | − | 0.572551i | ||||
\(695\) | 19.2991 | + | 33.4270i | 0.732055 | + | 1.26796i | ||||
\(696\) | −19.3609 | − | 9.32370i | −0.733871 | − | 0.353414i | ||||
\(697\) | 59.3897 | − | 18.3193i | 2.24955 | − | 0.693893i | ||||
\(698\) | −1.88045 | + | 25.0928i | −0.0711760 | + | 0.949777i | ||||
\(699\) | 6.68118 | − | 29.2722i | 0.252706 | − | 1.10718i | ||||
\(700\) | −0.365963 | − | 0.932459i | −0.0138321 | − | 0.0352436i | ||||
\(701\) | 0.194278 | + | 2.59246i | 0.00733777 | + | 0.0979157i | 0.999670 | − | 0.0256821i | \(-0.00817577\pi\) |
−0.992332 | + | 0.123598i | \(0.960557\pi\) | |||||||
\(702\) | 29.3920 | + | 4.43014i | 1.10933 | + | 0.167205i | ||||
\(703\) | −2.68187 | + | 2.48842i | −0.101149 | + | 0.0938524i | ||||
\(704\) | 7.69724 | − | 3.70679i | 0.290100 | − | 0.139705i | ||||
\(705\) | −6.88408 | − | 4.69349i | −0.259270 | − | 0.176767i | ||||
\(706\) | −7.47109 | + | 19.0360i | −0.281178 | + | 0.716430i | ||||
\(707\) | 2.34538 | + | 0.723453i | 0.0882070 | + | 0.0272083i | ||||
\(708\) | 0.555132 | + | 0.515087i | 0.0208631 | + | 0.0193582i | ||||
\(709\) | −23.9515 | − | 30.0342i | −0.899517 | − | 1.12796i | −0.991227 | − | 0.132172i | \(-0.957805\pi\) |
0.0917101 | − | 0.995786i | \(-0.470767\pi\) | |||||||
\(710\) | 7.17417 | + | 8.99613i | 0.269242 | + | 0.337619i | ||||
\(711\) | 16.3370 | + | 15.1585i | 0.612686 | + | 0.568489i | ||||
\(712\) | −8.12402 | − | 2.50593i | −0.304461 | − | 0.0939136i | ||||
\(713\) | 7.21822 | − | 18.3917i | 0.270324 | − | 0.688775i | ||||
\(714\) | −5.35038 | − | 3.64782i | −0.200233 | − | 0.136516i | ||||
\(715\) | −22.3891 | + | 10.7820i | −0.837304 | + | 0.403224i | ||||
\(716\) | 11.4001 | − | 10.5778i | 0.426042 | − | 0.395309i | ||||
\(717\) | −4.02963 | − | 0.607368i | −0.150489 | − | 0.0226826i | ||||
\(718\) | 0.978863 | + | 13.0620i | 0.0365308 | + | 0.487470i | ||||
\(719\) | 12.1950 | + | 31.0723i | 0.454795 | + | 1.15880i | 0.955973 | + | 0.293455i | \(0.0948052\pi\) |
−0.501177 | + | 0.865345i | \(0.667100\pi\) | |||||||
\(720\) | 3.25694 | − | 14.2696i | 0.121379 | − | 0.531796i | ||||
\(721\) | 0.699076 | − | 9.32852i | 0.0260350 | − | 0.347412i | ||||
\(722\) | −18.8681 | + | 5.82004i | −0.702198 | + | 0.216599i | ||||
\(723\) | 20.3234 | + | 9.78722i | 0.755834 | + | 0.363991i | ||||
\(724\) | −6.28965 | − | 10.8940i | −0.233753 | − | 0.404872i | ||||
\(725\) | −9.32061 | + | 16.1438i | −0.346159 | + | 0.599565i | ||||
\(726\) | 12.8060 | − | 8.73100i | 0.475276 | − | 0.324038i | ||||
\(727\) | 8.20631 | + | 35.9542i | 0.304355 | + | 1.33347i | 0.863480 | + | 0.504384i | \(0.168280\pi\) |
−0.559125 | + | 0.829084i | \(0.688863\pi\) | |||||||
\(728\) | 3.59426 | − | 0.541747i | 0.133212 | − | 0.0200785i | ||||
\(729\) | 12.9410 | − | 16.2275i | 0.479296 | − | 0.601019i | ||||
\(730\) | 22.3556 | 0.827416 | ||||||||
\(731\) | 36.1212 | − | 3.96622i | 1.33599 | − | 0.146696i | ||||
\(732\) | 5.26934 | 0.194760 | ||||||||
\(733\) | −16.6422 | + | 20.8687i | −0.614695 | + | 0.770803i | −0.987587 | − | 0.157072i | \(-0.949795\pi\) |
0.372893 | + | 0.927875i | \(0.378366\pi\) | |||||||
\(734\) | −5.40613 | + | 0.814842i | −0.199544 | + | 0.0300764i | ||||
\(735\) | −3.01456 | − | 13.2077i | −0.111194 | − | 0.487172i | ||||
\(736\) | −20.6176 | + | 14.0568i | −0.759974 | + | 0.518142i | ||||
\(737\) | −8.36368 | + | 14.4863i | −0.308080 | + | 0.533610i | ||||
\(738\) | −15.8662 | − | 27.4811i | −0.584044 | − | 1.01159i | ||||
\(739\) | −45.9243 | − | 22.1160i | −1.68935 | − | 0.813550i | −0.995638 | − | 0.0933007i | \(-0.970258\pi\) |
−0.693716 | − | 0.720249i | \(-0.744028\pi\) | |||||||
\(740\) | −2.02142 | + | 0.623525i | −0.0743088 | + | 0.0229212i | ||||
\(741\) | 0.761302 | − | 10.1589i | 0.0279671 | − | 0.373196i | ||||
\(742\) | 0.542379 | − | 2.37632i | 0.0199114 | − | 0.0872374i | ||||
\(743\) | −7.59718 | − | 19.3573i | −0.278714 | − | 0.710150i | −0.999849 | − | 0.0173567i | \(-0.994475\pi\) |
0.721136 | − | 0.692794i | \(-0.243620\pi\) | |||||||
\(744\) | −0.607442 | − | 8.10575i | −0.0222699 | − | 0.297171i | ||||
\(745\) | −28.7876 | − | 4.33903i | −1.05470 | − | 0.158970i | ||||
\(746\) | 21.9587 | − | 20.3747i | 0.803966 | − | 0.745971i | ||||
\(747\) | 11.6832 | − | 5.62632i | 0.427465 | − | 0.205856i | ||||
\(748\) | 17.7334 | + | 12.0905i | 0.648399 | + | 0.442071i | ||||
\(749\) | 0.0116176 | − | 0.0296012i | 0.000424498 | − | 0.00108160i | ||||
\(750\) | 22.8197 | + | 7.03894i | 0.833257 | + | 0.257026i | ||||
\(751\) | −7.85716 | − | 7.29038i | −0.286712 | − | 0.266030i | 0.523684 | − | 0.851913i | \(-0.324557\pi\) |
−0.810396 | + | 0.585883i | \(0.800748\pi\) | |||||||
\(752\) | −12.7131 | − | 15.9417i | −0.463598 | − | 0.581333i | ||||
\(753\) | 6.41894 | + | 8.04910i | 0.233919 | + | 0.293325i | ||||
\(754\) | 39.8566 | + | 36.9815i | 1.45149 | + | 1.34679i | ||||
\(755\) | −26.7407 | − | 8.24842i | −0.973194 | − | 0.300191i | ||||
\(756\) | −1.04363 | + | 2.65914i | −0.0379566 | + | 0.0967119i | ||||
\(757\) | −2.76234 | − | 1.88333i | −0.100399 | − | 0.0684508i | 0.512080 | − | 0.858938i | \(-0.328875\pi\) |
−0.612479 | + | 0.790487i | \(0.709828\pi\) | |||||||
\(758\) | −27.0848 | + | 13.0433i | −0.983764 | + | 0.473756i | ||||
\(759\) | 19.5042 | − | 18.0973i | 0.707958 | − | 0.656889i | ||||
\(760\) | −8.93532 | − | 1.34678i | −0.324118 | − | 0.0488529i | ||||
\(761\) | −2.86710 | − | 38.2588i | −0.103932 | − | 1.38688i | −0.768595 | − | 0.639736i | \(-0.779044\pi\) |
0.664662 | − | 0.747144i | \(-0.268575\pi\) | |||||||
\(762\) | −9.38112 | − | 23.9027i | −0.339842 | − | 0.865904i | ||||
\(763\) | 0.694597 | − | 3.04323i | 0.0251461 | − | 0.110172i | ||||
\(764\) | −1.26211 | + | 16.8417i | −0.0456615 | + | 0.609310i | ||||
\(765\) | −15.5379 | + | 4.79281i | −0.561774 | + | 0.173284i | ||||
\(766\) | −38.1375 | − | 18.3661i | −1.37797 | − | 0.663593i | ||||
\(767\) | 1.19190 | + | 2.06443i | 0.0430370 | + | 0.0745423i | ||||
\(768\) | −10.2716 | + | 17.7909i | −0.370644 | + | 0.641975i | ||||
\(769\) | −0.538943 | + | 0.367445i | −0.0194348 | + | 0.0132504i | −0.572998 | − | 0.819556i | \(-0.694220\pi\) |
0.553564 | + | 0.832807i | \(0.313268\pi\) | |||||||
\(770\) | −1.72399 | − | 7.55329i | −0.0621283 | − | 0.272202i | ||||
\(771\) | −0.112098 | + | 0.0168960i | −0.00403710 | + | 0.000608495i | ||||
\(772\) | −11.7735 | + | 14.7635i | −0.423738 | + | 0.531350i | ||||
\(773\) | 43.3995 | 1.56097 | 0.780486 | − | 0.625174i | \(-0.214972\pi\) | ||||
0.780486 | + | 0.625174i | \(0.214972\pi\) | |||||||
\(774\) | −6.07809 | − | 17.5294i | −0.218472 | − | 0.630082i | ||||
\(775\) | −7.05130 | −0.253290 | ||||||||
\(776\) | −0.217416 | + | 0.272631i | −0.00780479 | + | 0.00978689i | ||||
\(777\) | −0.914709 | + | 0.137870i | −0.0328150 | + | 0.00494606i | ||||
\(778\) | 2.54424 | + | 11.1470i | 0.0912154 | + | 0.399641i | ||||
\(779\) | −25.1868 | + | 17.1721i | −0.902412 | + | 0.615254i | ||||
\(780\) | 2.94524 | − | 5.10130i | 0.105456 | − | 0.182656i | ||||
\(781\) | −8.33853 | − | 14.4428i | −0.298376 | − | 0.516803i | ||||
\(782\) | 44.9672 | + | 21.6551i | 1.60802 | + | 0.774384i | ||||
\(783\) | 50.7983 | − | 15.6692i | 1.81538 | − | 0.559972i | ||||
\(784\) | 2.47759 | − | 33.0611i | 0.0884853 | − | 1.18075i | ||||
\(785\) | −2.57657 | + | 11.2887i | −0.0919616 | + | 0.402910i | ||||
\(786\) | −7.73660 | − | 19.7125i | −0.275955 | − | 0.703123i | ||||
\(787\) | −2.49920 | − | 33.3495i | −0.0890868 | − | 1.18878i | −0.845240 | − | 0.534387i | \(-0.820543\pi\) |
0.756153 | − | 0.654394i | \(-0.227076\pi\) | |||||||
\(788\) | −2.48759 | − | 0.374944i | −0.0886167 | − | 0.0133568i | ||||
\(789\) | 0.393039 | − | 0.364686i | 0.0139925 | − | 0.0129832i | ||||
\(790\) | 36.1822 | − | 17.4244i | 1.28731 | − | 0.619934i | ||||
\(791\) | 1.26844 | + | 0.864808i | 0.0451006 | + | 0.0307490i | ||||
\(792\) | −4.98080 | + | 12.6909i | −0.176985 | + | 0.450951i | ||||
\(793\) | 15.8499 | + | 4.88906i | 0.562848 | + | 0.173616i | ||||
\(794\) | 25.3641 | + | 23.5344i | 0.900138 | + | 0.835206i | ||||
\(795\) | 3.06395 | + | 3.84207i | 0.108667 | + | 0.136264i | ||||
\(796\) | −0.00721834 | − | 0.00905152i | −0.000255847 | − | 0.000320822i | ||||
\(797\) | 25.1690 | + | 23.3534i | 0.891531 | + | 0.827220i | 0.985730 | − | 0.168333i | \(-0.0538384\pi\) |
−0.0941987 | + | 0.995553i | \(0.530029\pi\) | |||||||
\(798\) | 3.03503 | + | 0.936183i | 0.107439 | + | 0.0331405i | ||||
\(799\) | −8.27577 | + | 21.0863i | −0.292776 | + | 0.745980i | ||||
\(800\) | 7.35826 | + | 5.01678i | 0.260154 | + | 0.177370i | ||||
\(801\) | 6.76048 | − | 3.25568i | 0.238870 | − | 0.115034i | ||||
\(802\) | −0.240634 | + | 0.223276i | −0.00849708 | + | 0.00788414i | ||||
\(803\) | −32.0394 | − | 4.82917i | −1.13065 | − | 0.170418i | ||||
\(804\) | −0.296311 | − | 3.95399i | −0.0104501 | − | 0.139446i | ||||
\(805\) | −2.02892 | − | 5.16962i | −0.0715102 | − | 0.182205i | ||||
\(806\) | −4.57647 | + | 20.0508i | −0.161199 | + | 0.706261i | ||||
\(807\) | 1.85083 | − | 24.6976i | 0.0651523 | − | 0.869397i | ||||
\(808\) | −7.43700 | + | 2.29401i | −0.261633 | + | 0.0807030i | ||||
\(809\) | −42.0700 | − | 20.2599i | −1.47910 | − | 0.712299i | −0.491736 | − | 0.870744i | \(-0.663638\pi\) |
−0.987368 | + | 0.158445i | \(0.949352\pi\) | |||||||
\(810\) | −1.85796 | − | 3.21809i | −0.0652822 | − | 0.113072i | ||||
\(811\) | 12.4749 | − | 21.6071i | 0.438052 | − | 0.758728i | −0.559487 | − | 0.828839i | \(-0.689002\pi\) |
0.997539 | + | 0.0701106i | \(0.0223352\pi\) | |||||||
\(812\) | −4.31732 | + | 2.94350i | −0.151508 | + | 0.103296i | ||||
\(813\) | 2.43285 | + | 10.6590i | 0.0853236 | + | 0.373827i | ||||
\(814\) | 9.83528 | − | 1.48243i | 0.344726 | − | 0.0519591i | ||||
\(815\) | 13.9661 | − | 17.5129i | 0.489211 | − | 0.613451i | ||||
\(816\) | 31.9506 | 1.11850 | ||||||||
\(817\) | −16.3562 | + | 7.08100i | −0.572230 | + | 0.247733i | ||||
\(818\) | −0.837096 | −0.0292684 | ||||||||
\(819\) | −2.00022 | + | 2.50819i | −0.0698933 | + | 0.0876434i | ||||
\(820\) | −17.4292 | + | 2.62704i | −0.608656 | + | 0.0917401i | ||||
\(821\) | −12.2059 | − | 53.4774i | −0.425988 | − | 1.86637i | −0.495210 | − | 0.868773i | \(-0.664909\pi\) |
0.0692223 | − | 0.997601i | \(-0.477948\pi\) | |||||||
\(822\) | −13.0515 | + | 8.89835i | −0.455223 | + | 0.310366i | ||||
\(823\) | −13.5728 | + | 23.5087i | −0.473117 | + | 0.819462i | −0.999527 | − | 0.0307686i | \(-0.990205\pi\) |
0.526410 | + | 0.850231i | \(0.323538\pi\) | |||||||
\(824\) | 14.8315 | + | 25.6889i | 0.516679 | + | 0.894914i | ||||
\(825\) | −8.55541 | − | 4.12007i | −0.297861 | − | 0.143442i | ||||
\(826\) | −0.710184 | + | 0.219063i | −0.0247105 | + | 0.00762217i | ||||
\(827\) | −0.301792 | + | 4.02714i | −0.0104944 | + | 0.140037i | −0.999990 | − | 0.00452696i | \(-0.998559\pi\) |
0.989495 | + | 0.144564i | \(0.0461781\pi\) | |||||||
\(828\) | 1.74791 | − | 7.65808i | 0.0607440 | − | 0.266137i | ||||
\(829\) | 4.52216 | + | 11.5223i | 0.157061 | + | 0.400185i | 0.987645 | − | 0.156709i | \(-0.0500884\pi\) |
−0.830584 | + | 0.556894i | \(0.811993\pi\) | |||||||
\(830\) | −1.74620 | − | 23.3014i | −0.0606115 | − | 0.808805i | ||||
\(831\) | −14.5292 | − | 2.18992i | −0.504012 | − | 0.0759675i | ||||
\(832\) | −4.67296 | + | 4.33587i | −0.162006 | + | 0.150319i | ||||
\(833\) | −33.1843 | + | 15.9807i | −1.14977 | + | 0.553699i | ||||
\(834\) | 35.5442 | + | 24.2336i | 1.23079 | + | 0.839141i | ||||
\(835\) | −10.7404 | + | 27.3661i | −0.371687 | + | 0.947043i | ||||
\(836\) | −10.0594 | − | 3.10291i | −0.347911 | − | 0.107316i | ||||
\(837\) | 14.7406 | + | 13.6773i | 0.509509 | + | 0.472756i | ||||
\(838\) | −17.0452 | − | 21.3741i | −0.588818 | − | 0.738355i | ||||
\(839\) | 20.3816 | + | 25.5577i | 0.703651 | + | 0.882351i | 0.997290 | − | 0.0735654i | \(-0.0234378\pi\) |
−0.293639 | + | 0.955916i | \(0.594866\pi\) | |||||||
\(840\) | −1.67487 | − | 1.55405i | −0.0577883 | − | 0.0536197i | ||||
\(841\) | 65.2081 | + | 20.1140i | 2.24855 | + | 0.693587i | ||||
\(842\) | −22.6316 | + | 57.6643i | −0.779936 | + | 1.98724i | ||||
\(843\) | 18.5709 | + | 12.6614i | 0.639616 | + | 0.436083i | ||||
\(844\) | 1.74112 | − | 0.838477i | 0.0599317 | − | 0.0288616i | ||||
\(845\) | −3.21239 | + | 2.98066i | −0.110510 | + | 0.102538i | ||||
\(846\) | 11.4364 | + | 1.72375i | 0.393190 | + | 0.0592639i | ||||
\(847\) | 0.350393 | + | 4.67567i | 0.0120396 | + | 0.160658i | ||||
\(848\) | 4.39371 | + | 11.1950i | 0.150881 | + | 0.384438i | ||||
\(849\) | −0.634339 | + | 2.77922i | −0.0217705 | + | 0.0953827i | ||||
\(850\) | 1.33113 | − | 17.7626i | 0.0456572 | − | 0.609253i | ||||
\(851\) | 6.81290 | − | 2.10150i | 0.233543 | − | 0.0720385i | ||||
\(852\) | 3.56167 | + | 1.71521i | 0.122021 | + | 0.0587621i | ||||
\(853\) | −4.58177 | − | 7.93585i | −0.156877 | − | 0.271718i | 0.776864 | − | 0.629668i | \(-0.216809\pi\) |
−0.933741 | + | 0.357950i | \(0.883476\pi\) | |||||||
\(854\) | −2.58566 | + | 4.47850i | −0.0884795 | + | 0.153251i | ||||
\(855\) | 6.58953 | − | 4.49266i | 0.225357 | − | 0.153646i | ||||
\(856\) | 0.0224375 | + | 0.0983050i | 0.000766897 | + | 0.00336000i | ||||
\(857\) | 12.4074 | − | 1.87011i | 0.423829 | − | 0.0638819i | 0.0663349 | − | 0.997797i | \(-0.478869\pi\) |
0.357494 | + | 0.933916i | \(0.383631\pi\) | |||||||
\(858\) | −17.2684 | + | 21.6539i | −0.589533 | + | 0.739251i | ||||
\(859\) | 13.4029 | 0.457302 | 0.228651 | − | 0.973508i | \(-0.426568\pi\) | ||||
0.228651 | + | 0.973508i | \(0.426568\pi\) | |||||||
\(860\) | −10.2973 | − | 0.414531i | −0.351134 | − | 0.0141354i | ||||
\(861\) | −7.70770 | −0.262678 | ||||||||
\(862\) | 8.62066 | − | 10.8100i | 0.293621 | − | 0.368189i | ||||
\(863\) | −32.7567 | + | 4.93727i | −1.11505 | + | 0.168067i | −0.680619 | − | 0.732638i | \(-0.738289\pi\) |
−0.434432 | + | 0.900705i | \(0.643051\pi\) | |||||||
\(864\) | −5.65134 | − | 24.7602i | −0.192263 | − | 0.842358i | ||||
\(865\) | −11.8035 | + | 8.04752i | −0.401333 | + | 0.273624i | ||||
\(866\) | 23.4149 | − | 40.5557i | 0.795669 | − | 1.37814i | ||||
\(867\) | −7.92268 | − | 13.7225i | −0.269068 | − | 0.466040i | ||||
\(868\) | −1.78079 | − | 0.857583i | −0.0604439 | − | 0.0291083i | ||||
\(869\) | −55.6194 | + | 17.1563i | −1.88676 | + | 0.581989i | ||||
\(870\) | 2.55399 | − | 34.0806i | 0.0865883 | − | 1.15544i | ||||
\(871\) | 2.77735 | − | 12.1684i | 0.0941069 | − | 0.412309i | ||||
\(872\) | 3.61615 | + | 9.21379i | 0.122458 | + | 0.312018i | ||||
\(873\) | −0.0229995 | − | 0.306907i | −0.000778416 | − | 0.0103872i | ||||
\(874\) | −24.2063 | − | 3.64851i | −0.818791 | − | 0.123413i | ||||
\(875\) | −5.29579 | + | 4.91378i | −0.179031 | + | 0.166116i | ||||
\(876\) | 6.91985 | − | 3.33242i | 0.233800 | − | 0.112592i | ||||
\(877\) | −0.226534 | − | 0.154449i | −0.00764952 | − | 0.00521536i | 0.559489 | − | 0.828838i | \(-0.310997\pi\) |
−0.567139 | + | 0.823622i | \(0.691950\pi\) | |||||||
\(878\) | −23.1530 | + | 58.9928i | −0.781374 | + | 1.99091i | ||||
\(879\) | −24.0682 | − | 7.42406i | −0.811801 | − | 0.250407i | ||||
\(880\) | 28.0220 | + | 26.0006i | 0.944621 | + | 0.876480i | ||||
\(881\) | −22.6315 | − | 28.3791i | −0.762476 | − | 0.956115i | 0.237407 | − | 0.971410i | \(-0.423702\pi\) |
−0.999883 | + | 0.0152957i | \(0.995131\pi\) | |||||||
\(882\) | 11.7249 | + | 14.7025i | 0.394797 | + | 0.495060i | ||||
\(883\) | 1.58488 | + | 1.47056i | 0.0533356 | + | 0.0494882i | 0.706390 | − | 0.707823i | \(-0.250322\pi\) |
−0.653055 | + | 0.757311i | \(0.726513\pi\) | |||||||
\(884\) | −15.3032 | − | 4.72043i | −0.514704 | − | 0.158765i | ||||
\(885\) | 0.547427 | − | 1.39482i | 0.0184016 | − | 0.0468864i | ||||
\(886\) | −7.69112 | − | 5.24372i | −0.258388 | − | 0.176166i | ||||
\(887\) | −32.9093 | + | 15.8483i | −1.10499 | + | 0.532134i | −0.895223 | − | 0.445619i | \(-0.852984\pi\) |
−0.209764 | + | 0.977752i | \(0.567270\pi\) | |||||||
\(888\) | 2.15021 | − | 1.99510i | 0.0721563 | − | 0.0669513i | ||||
\(889\) | 7.68120 | + | 1.15775i | 0.257619 | + | 0.0388298i | ||||
\(890\) | −1.01044 | − | 13.4834i | −0.0338701 | − | 0.451965i | ||||
\(891\) | 1.96763 | + | 5.01344i | 0.0659180 | + | 0.167956i | ||||
\(892\) | −0.748849 | + | 3.28092i | −0.0250733 | + | 0.109853i | ||||
\(893\) | 0.830282 | − | 11.0793i | 0.0277843 | − | 0.370756i | ||||
\(894\) | −31.0058 | + | 9.56403i | −1.03699 | + | 0.319869i | ||||
\(895\) | −27.7236 | − | 13.3510i | −0.926699 | − | 0.446275i | ||||
\(896\) | −3.79474 | − | 6.57269i | −0.126774 | − | 0.219578i | ||||
\(897\) | −9.92650 | + | 17.1932i | −0.331436 | + | 0.574064i | ||||
\(898\) | 31.9340 | − | 21.7722i | 1.06565 | − | 0.726548i | ||||
\(899\) | 8.18482 | + | 35.8600i | 0.272979 | + | 1.19600i | ||||
\(900\) | −2.77209 | + | 0.417825i | −0.0924029 | + | 0.0139275i | ||||
\(901\) | 8.33012 | − | 10.4456i | 0.277517 | − | 0.347995i | ||||
\(902\) | 82.8760 | 2.75947 | ||||||||
\(903\) | −4.42557 | − | 0.850364i | −0.147274 | − | 0.0282984i | ||||
\(904\) | −4.86799 | −0.161907 | ||||||||
\(905\) | −15.5186 | + | 19.4597i | −0.515855 | + | 0.646862i | ||||
\(906\) | −30.8409 | + | 4.64852i | −1.02462 | + | 0.154437i | ||||
\(907\) | −5.32086 | − | 23.3122i | −0.176676 | − | 0.774069i | −0.983150 | − | 0.182799i | \(-0.941484\pi\) |
0.806474 | − | 0.591270i | \(-0.201373\pi\) | |||||||
\(908\) | −12.2088 | + | 8.32385i | −0.405165 | + | 0.276237i | ||||
\(909\) | 3.43451 | − | 5.94875i | 0.113916 | − | 0.197307i | ||||
\(910\) | 2.89045 | + | 5.00641i | 0.0958176 | + | 0.165961i | ||||
\(911\) | 18.7823 | + | 9.04509i | 0.622286 | + | 0.299677i | 0.718333 | − | 0.695700i | \(-0.244906\pi\) |
−0.0960468 | + | 0.995377i | \(0.530620\pi\) | |||||||
\(912\) | −14.9749 | + | 4.61914i | −0.495868 | + | 0.152955i | ||||
\(913\) | −2.53088 | + | 33.7722i | −0.0837599 | + | 1.11770i | ||||
\(914\) | 12.5283 | − | 54.8902i | 0.414400 | − | 1.81560i | ||||
\(915\) | −3.80908 | − | 9.70538i | −0.125924 | − | 0.320850i | ||||
\(916\) | −0.0515479 | − | 0.687859i | −0.00170319 | − | 0.0227275i | ||||
\(917\) | 6.33468 | + | 0.954799i | 0.209189 | + | 0.0315302i | ||||
\(918\) | −37.2366 | + | 34.5505i | −1.22899 | + | 1.14034i | ||||
\(919\) | 23.5089 | − | 11.3213i | 0.775486 | − | 0.373454i | −0.00390486 | − | 0.999992i | \(-0.501243\pi\) |
0.779391 | + | 0.626538i | \(0.215529\pi\) | |||||||
\(920\) | 14.5498 | + | 9.91991i | 0.479694 | + | 0.327050i | ||||
\(921\) | −8.41849 | + | 21.4500i | −0.277399 | + | 0.706800i | ||||
\(922\) | −24.3433 | − | 7.50892i | −0.801705 | − | 0.247293i | ||||
\(923\) | 9.12193 | + | 8.46391i | 0.300252 | + | 0.278593i | ||||
\(924\) | −1.65957 | − | 2.08103i | −0.0545957 | − | 0.0684608i | ||||
\(925\) | −1.58648 | − | 1.98938i | −0.0521632 | − | 0.0654106i | ||||
\(926\) | −22.7333 | − | 21.0934i | −0.747061 | − | 0.693171i | ||||
\(927\) | −25.0172 | − | 7.71678i | −0.821673 | − | 0.253452i | ||||
\(928\) | 16.9722 | − | 43.2444i | 0.557139 | − | 1.41957i | ||||
\(929\) | 8.57866 | + | 5.84883i | 0.281457 | + | 0.191894i | 0.695817 | − | 0.718219i | \(-0.255042\pi\) |
−0.414361 | + | 0.910113i | \(0.635995\pi\) | |||||||
\(930\) | 11.6474 | − | 5.60908i | 0.381932 | − | 0.183929i | ||||
\(931\) | 13.2427 | − | 12.2875i | 0.434013 | − | 0.402705i | ||||
\(932\) | 22.8920 | + | 3.45041i | 0.749851 | + | 0.113022i | ||||
\(933\) | −0.509200 | − | 6.79481i | −0.0166705 | − | 0.222452i | ||||
\(934\) | 2.16171 | + | 5.50794i | 0.0707332 | + | 0.180225i | ||||
\(935\) | 9.44984 | − | 41.4024i | 0.309043 | − | 1.35400i | ||||
\(936\) | 0.760202 | − | 10.1442i | 0.0248480 | − | 0.331573i | ||||
\(937\) | 22.6423 | − | 6.98421i | 0.739690 | − | 0.228164i | 0.0980624 | − | 0.995180i | \(-0.468736\pi\) |
0.641628 | + | 0.767016i | \(0.278259\pi\) | |||||||
\(938\) | 3.50596 | + | 1.68838i | 0.114474 | + | 0.0551276i | ||||
\(939\) | −12.1146 | − | 20.9831i | −0.395344 | − | 0.684756i | ||||
\(940\) | 3.21210 | − | 5.56352i | 0.104767 | − | 0.181462i | ||||
\(941\) | −20.3425 | + | 13.8692i | −0.663145 | + | 0.452125i | −0.847543 | − | 0.530727i | \(-0.821919\pi\) |
0.184398 | + | 0.982852i | \(0.440967\pi\) | |||||||
\(942\) | 2.87169 | + | 12.5817i | 0.0935648 | + | 0.409934i | ||||
\(943\) | 58.7428 | − | 8.85405i | 1.91293 | − | 0.288327i | ||||
\(944\) | 2.28632 | − | 2.86696i | 0.0744134 | − | 0.0933115i | ||||
\(945\) | 5.65218 | 0.183865 | ||||||||
\(946\) | 47.5853 | + | 9.14342i | 1.54713 | + | 0.297278i | ||||
\(947\) | −6.75858 | −0.219624 | −0.109812 | − | 0.993952i | \(-0.535025\pi\) | ||||
−0.109812 | + | 0.993952i | \(0.535025\pi\) | |||||||
\(948\) | 8.60233 | − | 10.7870i | 0.279391 | − | 0.350345i | ||||
\(949\) | 23.9066 | − | 3.60333i | 0.776040 | − | 0.116969i | ||||
\(950\) | 1.94408 | + | 8.51759i | 0.0630744 | + | 0.276347i | ||||
\(951\) | 20.7452 | − | 14.1438i | 0.672708 | − | 0.458644i | ||||
\(952\) | −3.10588 | + | 5.37954i | −0.100662 | + | 0.174352i | ||||
\(953\) | −24.9228 | − | 43.1676i | −0.807329 | − | 1.39834i | −0.914707 | − | 0.404117i | \(-0.867579\pi\) |
0.107378 | − | 0.994218i | \(-0.465754\pi\) | |||||||
\(954\) | −6.14594 | − | 2.95973i | −0.198982 | − | 0.0958247i | ||||
\(955\) | 31.9323 | − | 9.84982i | 1.03331 | − | 0.318733i | ||||
\(956\) | 0.234810 | − | 3.13332i | 0.00759430 | − | 0.101339i | ||||
\(957\) | −11.0223 | + | 48.2918i | −0.356300 | + | 1.56105i | ||||
\(958\) | 14.9009 | + | 37.9669i | 0.481427 | + | 1.22666i | ||||
\(959\) | −0.357109 | − | 4.76529i | −0.0115316 | − | 0.153879i | ||||
\(960\) | 3.96221 | + | 0.597206i | 0.127880 | + | 0.0192748i | ||||
\(961\) | 12.5254 | − | 11.6219i | 0.404044 | − | 0.374898i | ||||
\(962\) | −6.68662 | + | 3.22011i | −0.215585 | + | 0.103820i | ||||
\(963\) | −0.0735308 | − | 0.0501325i | −0.00236950 | − | 0.00161550i | ||||
\(964\) | −6.35423 | + | 16.1903i | −0.204656 | + | 0.521455i | ||||
\(965\) | 35.7031 | + | 11.0130i | 1.14932 | + | 0.354519i | ||||
\(966\) | −4.53731 | − | 4.21001i | −0.145986 | − | 0.135455i | ||||
\(967\) | −14.1131 | − | 17.6973i | −0.453848 | − | 0.569107i | 0.501286 | − | 0.865282i | \(-0.332860\pi\) |
−0.955134 | + | 0.296175i | \(0.904289\pi\) | |||||||
\(968\) | −9.26988 | − | 11.6241i | −0.297945 | − | 0.373611i | ||||
\(969\) | 12.7621 | + | 11.8415i | 0.409979 | + | 0.380405i | ||||
\(970\) | −0.529950 | − | 0.163468i | −0.0170157 | − | 0.00524864i | ||||
\(971\) | −21.8978 | + | 55.7948i | −0.702735 | + | 1.79054i | −0.0963829 | + | 0.995344i | \(0.530727\pi\) |
−0.606352 | + | 0.795196i | \(0.707368\pi\) | |||||||
\(972\) | 10.8542 | + | 7.40030i | 0.348150 | + | 0.237365i | ||||
\(973\) | −11.7253 | + | 5.64660i | −0.375895 | + | 0.181022i | ||||
\(974\) | 5.50938 | − | 5.11195i | 0.176532 | − | 0.163798i | ||||
\(975\) | 7.00625 | + | 1.05602i | 0.224380 | + | 0.0338198i | ||||
\(976\) | −1.90677 | − | 25.4440i | −0.0610341 | − | 0.814444i | ||||
\(977\) | −5.79096 | − | 14.7551i | −0.185269 | − | 0.472058i | 0.807819 | − | 0.589431i | \(-0.200648\pi\) |
−0.993088 | + | 0.117373i | \(0.962553\pi\) | |||||||
\(978\) | 5.55536 | − | 24.3396i | 0.177641 | − | 0.778296i | ||||
\(979\) | −1.46450 | + | 19.5424i | −0.0468055 | + | 0.624576i | ||||
\(980\) | 9.98149 | − | 3.07888i | 0.318847 | − | 0.0983513i | ||||
\(981\) | −7.87078 | − | 3.79037i | −0.251295 | − | 0.121017i | ||||
\(982\) | −13.3113 | − | 23.0558i | −0.424780 | − | 0.735740i | ||||
\(983\) | 13.2289 | − | 22.9131i | 0.421935 | − | 0.730813i | −0.574194 | − | 0.818720i | \(-0.694684\pi\) |
0.996129 | + | 0.0879064i | \(0.0280176\pi\) | |||||||
\(984\) | 20.1937 | − | 13.7678i | 0.643751 | − | 0.438902i | ||||
\(985\) | 1.10763 | + | 4.85283i | 0.0352919 | + | 0.154624i | ||||
\(986\) | −91.8787 | + | 13.8485i | −2.92601 | + | 0.441026i | ||||
\(987\) | 1.75153 | − | 2.19635i | 0.0557517 | − | 0.0699104i | ||||
\(988\) | 7.85489 | 0.249897 | ||||||||
\(989\) | 34.7055 | + | 1.39712i | 1.10357 | + | 0.0444257i | ||||
\(990\) | −21.6825 | −0.689116 | ||||||||
\(991\) | −12.2046 | + | 15.3041i | −0.387691 | + | 0.486150i | −0.936931 | − | 0.349516i | \(-0.886346\pi\) |
0.549239 | + | 0.835665i | \(0.314918\pi\) | |||||||
\(992\) | 17.3762 | − | 2.61904i | 0.551696 | − | 0.0831547i | ||||
\(993\) | 2.43909 | + | 10.6864i | 0.0774022 | + | 0.339121i | ||||
\(994\) | −3.20549 | + | 2.18547i | −0.101672 | + | 0.0693189i | ||||
\(995\) | −0.0114537 | + | 0.0198383i | −0.000363105 | + | 0.000628917i | ||||
\(996\) | −4.01393 | − | 6.95234i | −0.127186 | − | 0.220293i | ||||
\(997\) | −16.2736 | − | 7.83696i | −0.515391 | − | 0.248199i | 0.158062 | − | 0.987429i | \(-0.449475\pi\) |
−0.673453 | + | 0.739230i | \(0.735190\pi\) | |||||||
\(998\) | 61.1907 | − | 18.8748i | 1.93696 | − | 0.597472i | ||||
\(999\) | −0.542266 | + | 7.23604i | −0.0171565 | + | 0.228938i |
(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 | 43.2.g.a.24.3 | yes | 36 | |
3.2 | odd | 2 | 387.2.y.c.325.1 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.497.2 | 36 | |||
43.3 | odd | 42 | 1849.2.a.o.1.4 | 18 | |||
43.9 | even | 21 | inner | 43.2.g.a.9.3 | ✓ | 36 | |
43.40 | even | 21 | 1849.2.a.n.1.15 | 18 | |||
129.95 | odd | 42 | 387.2.y.c.181.1 | 36 | |||
172.95 | odd | 42 | 688.2.bg.c.353.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.9.3 | ✓ | 36 | 43.9 | even | 21 | inner | |
43.2.g.a.24.3 | yes | 36 | 1.1 | even | 1 | trivial | |
387.2.y.c.181.1 | 36 | 129.95 | odd | 42 | |||
387.2.y.c.325.1 | 36 | 3.2 | odd | 2 | |||
688.2.bg.c.353.2 | 36 | 172.95 | odd | 42 | |||
688.2.bg.c.497.2 | 36 | 4.3 | odd | 2 | |||
1849.2.a.n.1.15 | 18 | 43.40 | even | 21 | |||
1849.2.a.o.1.4 | 18 | 43.3 | odd | 42 |