Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Character | \(\chi\) | \(=\) | 966.181 |
Dual form | 966.2.s.a.475.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −1.32721 | + | 1.53168i | −0.593547 | + | 0.684990i | −0.970461 | − | 0.241258i | \(-0.922440\pi\) |
0.376914 | + | 0.926248i | \(0.376985\pi\) | |||||||
\(6\) | −0.281733 | + | 0.959493i | −0.115017 | + | 0.391711i | ||||
\(7\) | −2.59428 | + | 0.519336i | −0.980546 | + | 0.196290i | ||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 1.70498 | + | 1.09572i | 0.539161 | + | 0.346497i | ||||
\(11\) | 3.12743 | + | 0.449656i | 0.942955 | + | 0.135576i | 0.596610 | − | 0.802531i | \(-0.296514\pi\) |
0.346344 | + | 0.938107i | \(0.387423\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | 0.718675 | − | 1.11828i | 0.199325 | − | 0.310155i | −0.727174 | − | 0.686453i | \(-0.759167\pi\) |
0.926499 | + | 0.376298i | \(0.122803\pi\) | |||||||
\(14\) | 0.883254 | + | 2.49397i | 0.236060 | + | 0.666540i | ||||
\(15\) | 1.84356 | − | 0.841925i | 0.476005 | − | 0.217384i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −0.378462 | − | 0.111127i | −0.0917906 | − | 0.0269521i | 0.235515 | − | 0.971871i | \(-0.424322\pi\) |
−0.327305 | + | 0.944919i | \(0.606141\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | −1.61920 | + | 0.475439i | −0.371469 | + | 0.109073i | −0.462138 | − | 0.886808i | \(-0.652918\pi\) |
0.0906690 | + | 0.995881i | \(0.471099\pi\) | |||||||
\(20\) | 0.841925 | − | 1.84356i | 0.188260 | − | 0.412232i | ||||
\(21\) | 2.57558 | + | 0.605299i | 0.562038 | + | 0.132087i | ||||
\(22\) | − | 3.15959i | − | 0.673626i | ||||||
\(23\) | −0.441143 | − | 4.77550i | −0.0919847 | − | 0.995760i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.127009 | + | 0.883370i | 0.0254019 | + | 0.176674i | ||||
\(26\) | −1.20918 | − | 0.552212i | −0.237139 | − | 0.108298i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 2.34288 | − | 1.22919i | 0.442763 | − | 0.232296i | ||||
\(29\) | −1.23665 | − | 0.363114i | −0.229640 | − | 0.0674285i | 0.164888 | − | 0.986312i | \(-0.447274\pi\) |
−0.394528 | + | 0.918884i | \(0.629092\pi\) | |||||||
\(30\) | −1.09572 | − | 1.70498i | −0.200050 | − | 0.311285i | ||||
\(31\) | 4.26375 | − | 1.94719i | 0.765793 | − | 0.349726i | 0.00607736 | − | 0.999982i | \(-0.498066\pi\) |
0.759715 | + | 0.650256i | \(0.225338\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | −2.65801 | − | 1.70820i | −0.462701 | − | 0.297360i | ||||
\(34\) | −0.0561346 | + | 0.390425i | −0.00962701 | + | 0.0669573i | ||||
\(35\) | 2.64770 | − | 4.66289i | 0.447543 | − | 0.788172i | ||||
\(36\) | −0.841254 | − | 0.540641i | −0.140209 | − | 0.0901068i | ||||
\(37\) | 5.39648 | − | 4.67608i | 0.887176 | − | 0.768742i | −0.0866018 | − | 0.996243i | \(-0.527601\pi\) |
0.973778 | + | 0.227501i | \(0.0730553\pi\) | |||||||
\(38\) | 0.701036 | + | 1.53505i | 0.113723 | + | 0.249019i | ||||
\(39\) | −1.11828 | + | 0.718675i | −0.179068 | + | 0.115080i | ||||
\(40\) | −1.94461 | − | 0.570990i | −0.307470 | − | 0.0902814i | ||||
\(41\) | −8.14068 | − | 7.05394i | −1.27136 | − | 1.10164i | −0.989855 | − | 0.142080i | \(-0.954621\pi\) |
−0.281505 | − | 0.959560i | \(-0.590833\pi\) | |||||||
\(42\) | 0.232594 | − | 2.63551i | 0.0358901 | − | 0.406668i | ||||
\(43\) | −10.4406 | − | 4.76804i | −1.59217 | − | 0.727119i | −0.595102 | − | 0.803650i | \(-0.702888\pi\) |
−0.997067 | + | 0.0765305i | \(0.975616\pi\) | |||||||
\(44\) | −3.12743 | + | 0.449656i | −0.471477 | + | 0.0677882i | ||||
\(45\) | −2.02671 | −0.302124 | ||||||||
\(46\) | −4.66411 | + | 1.11628i | −0.687686 | + | 0.164586i | ||||
\(47\) | − | 8.94459i | − | 1.30470i | −0.757917 | − | 0.652352i | \(-0.773783\pi\) | ||
0.757917 | − | 0.652352i | \(-0.226217\pi\) | |||||||
\(48\) | −0.989821 | + | 0.142315i | −0.142868 | + | 0.0205414i | ||||
\(49\) | 6.46058 | − | 2.69461i | 0.922940 | − | 0.384944i | ||||
\(50\) | 0.856303 | − | 0.251433i | 0.121100 | − | 0.0355580i | ||||
\(51\) | 0.298098 | + | 0.258303i | 0.0417420 | + | 0.0361697i | ||||
\(52\) | −0.374508 | + | 1.27546i | −0.0519349 | + | 0.176874i | ||||
\(53\) | −3.63278 | − | 5.65271i | −0.499000 | − | 0.776459i | 0.496814 | − | 0.867857i | \(-0.334503\pi\) |
−0.995814 | + | 0.0913976i | \(0.970867\pi\) | |||||||
\(54\) | −0.909632 | + | 0.415415i | −0.123785 | + | 0.0565308i | ||||
\(55\) | −4.83949 | + | 4.19344i | −0.652557 | + | 0.565444i | ||||
\(56\) | −1.55011 | − | 2.14410i | −0.207142 | − | 0.286517i | ||||
\(57\) | 1.67038 | + | 0.240164i | 0.221247 | + | 0.0318105i | ||||
\(58\) | −0.183424 | + | 1.27574i | −0.0240847 | + | 0.167513i | ||||
\(59\) | 2.47780 | − | 3.85553i | 0.322582 | − | 0.501947i | −0.641653 | − | 0.766995i | \(-0.721751\pi\) |
0.964235 | + | 0.265047i | \(0.0853876\pi\) | |||||||
\(60\) | −1.53168 | + | 1.32721i | −0.197740 | + | 0.171342i | ||||
\(61\) | 4.36150 | + | 9.55036i | 0.558433 | + | 1.22280i | 0.952731 | + | 0.303816i | \(0.0982607\pi\) |
−0.394297 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(62\) | −2.53417 | − | 3.94324i | −0.321840 | − | 0.500792i | ||||
\(63\) | −2.09138 | − | 1.62053i | −0.263489 | − | 0.204168i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 0.759018 | + | 2.58498i | 0.0941446 | + | 0.320627i | ||||
\(66\) | −1.31254 | + | 2.87406i | −0.161563 | + | 0.353773i | ||||
\(67\) | 13.0036 | − | 1.86963i | 1.58864 | − | 0.228412i | 0.709404 | − | 0.704802i | \(-0.248964\pi\) |
0.879234 | + | 0.476390i | \(0.158055\pi\) | |||||||
\(68\) | 0.394440 | 0.0478328 | ||||||||
\(69\) | −1.58254 | + | 4.52720i | −0.190515 | + | 0.545011i | ||||
\(70\) | −4.99223 | − | 1.95715i | −0.596686 | − | 0.233925i | ||||
\(71\) | 0.470265 | + | 3.27076i | 0.0558102 | + | 0.388168i | 0.998512 | + | 0.0545319i | \(0.0173666\pi\) |
−0.942702 | + | 0.333636i | \(0.891724\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | 1.62426 | + | 5.53174i | 0.190106 | + | 0.647441i | 0.998287 | + | 0.0585069i | \(0.0186340\pi\) |
−0.808181 | + | 0.588934i | \(0.799548\pi\) | |||||||
\(74\) | −5.39648 | − | 4.67608i | −0.627328 | − | 0.543583i | ||||
\(75\) | 0.251433 | − | 0.856303i | 0.0290330 | − | 0.0988773i | ||||
\(76\) | 1.41966 | − | 0.912361i | 0.162846 | − | 0.104655i | ||||
\(77\) | −8.34695 | + | 0.457651i | −0.951223 | + | 0.0521542i | ||||
\(78\) | 0.870508 | + | 1.00462i | 0.0985657 | + | 0.113751i | ||||
\(79\) | 6.66028 | − | 10.3636i | 0.749340 | − | 1.16600i | −0.231813 | − | 0.972760i | \(-0.574466\pi\) |
0.981153 | − | 0.193235i | \(-0.0618979\pi\) | |||||||
\(80\) | −0.288431 | + | 2.00608i | −0.0322475 | + | 0.224286i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −5.82360 | + | 9.06169i | −0.643109 | + | 1.00070i | ||||
\(83\) | −4.12233 | − | 4.75742i | −0.452484 | − | 0.522194i | 0.482973 | − | 0.875635i | \(-0.339557\pi\) |
−0.935457 | + | 0.353441i | \(0.885012\pi\) | |||||||
\(84\) | −2.64178 | + | 0.144845i | −0.288242 | + | 0.0158039i | ||||
\(85\) | 0.672510 | − | 0.432196i | 0.0729440 | − | 0.0468782i | ||||
\(86\) | −3.23366 | + | 11.0128i | −0.348695 | + | 1.18755i | ||||
\(87\) | 0.974055 | + | 0.844023i | 0.104430 | + | 0.0904888i | ||||
\(88\) | 0.890159 | + | 3.03160i | 0.0948912 | + | 0.323170i | ||||
\(89\) | −3.04528 | + | 6.66823i | −0.322799 | + | 0.706831i | −0.999569 | − | 0.0293637i | \(-0.990652\pi\) |
0.676770 | + | 0.736195i | \(0.263379\pi\) | |||||||
\(90\) | 0.288431 | + | 2.00608i | 0.0304033 | + | 0.211459i | ||||
\(91\) | −1.28368 | + | 3.27437i | −0.134566 | + | 0.343247i | ||||
\(92\) | 1.76869 | + | 4.45777i | 0.184398 | + | 0.464755i | ||||
\(93\) | −4.68734 | −0.486054 | ||||||||
\(94\) | −8.85355 | + | 1.27295i | −0.913174 | + | 0.131295i | ||||
\(95\) | 1.42079 | − | 3.11111i | 0.145770 | − | 0.319193i | ||||
\(96\) | 0.281733 | + | 0.959493i | 0.0287542 | + | 0.0979278i | ||||
\(97\) | 7.96782 | − | 9.19535i | 0.809010 | − | 0.933647i | −0.189830 | − | 0.981817i | \(-0.560794\pi\) |
0.998839 | + | 0.0481703i | \(0.0153390\pi\) | |||||||
\(98\) | −3.58661 | − | 6.01134i | −0.362303 | − | 0.607237i | ||||
\(99\) | 1.70820 | + | 2.65801i | 0.171681 | + | 0.267141i | ||||
\(100\) | −0.370739 | − | 0.811804i | −0.0370739 | − | 0.0811804i | ||||
\(101\) | 13.5057 | − | 11.7027i | 1.34386 | − | 1.16446i | 0.372186 | − | 0.928158i | \(-0.378608\pi\) |
0.971679 | − | 0.236307i | \(-0.0759370\pi\) | |||||||
\(102\) | 0.213250 | − | 0.331824i | 0.0211149 | − | 0.0328555i | ||||
\(103\) | −0.751671 | + | 5.22798i | −0.0740643 | + | 0.515129i | 0.918691 | + | 0.394977i | \(0.129247\pi\) |
−0.992756 | + | 0.120152i | \(0.961662\pi\) | |||||||
\(104\) | 1.31577 | + | 0.189180i | 0.129022 | + | 0.0185506i | ||||
\(105\) | −4.34547 | + | 3.14162i | −0.424074 | + | 0.306590i | ||||
\(106\) | −5.07817 | + | 4.40026i | −0.493236 | + | 0.427391i | ||||
\(107\) | 4.92190 | − | 2.24776i | 0.475818 | − | 0.217299i | −0.163046 | − | 0.986618i | \(-0.552132\pi\) |
0.638864 | + | 0.769320i | \(0.279405\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | −4.42672 | + | 15.0760i | −0.424003 | + | 1.44402i | 0.419922 | + | 0.907560i | \(0.362057\pi\) |
−0.843925 | + | 0.536461i | \(0.819761\pi\) | |||||||
\(110\) | 4.83949 | + | 4.19344i | 0.461427 | + | 0.399829i | ||||
\(111\) | −6.85133 | + | 2.01173i | −0.650299 | + | 0.190945i | ||||
\(112\) | −1.90167 | + | 1.83947i | −0.179691 | + | 0.173813i | ||||
\(113\) | −11.9625 | + | 1.71995i | −1.12534 | + | 0.161799i | −0.679754 | − | 0.733440i | \(-0.737913\pi\) |
−0.445585 | + | 0.895240i | \(0.647004\pi\) | |||||||
\(114\) | − | 1.68755i | − | 0.158054i | ||||||
\(115\) | 7.90005 | + | 5.66241i | 0.736683 | + | 0.528022i | ||||
\(116\) | 1.28886 | 0.119668 | ||||||||
\(117\) | 1.31577 | − | 0.189180i | 0.121643 | − | 0.0174897i | ||||
\(118\) | −4.16891 | − | 1.90388i | −0.383780 | − | 0.175266i | ||||
\(119\) | 1.03955 | + | 0.0917444i | 0.0952953 | + | 0.00841020i | ||||
\(120\) | 1.53168 | + | 1.32721i | 0.139823 | + | 0.121157i | ||||
\(121\) | −0.975808 | − | 0.286523i | −0.0887098 | − | 0.0260476i | ||||
\(122\) | 8.83245 | − | 5.67627i | 0.799652 | − | 0.513905i | ||||
\(123\) | 4.47471 | + | 9.79824i | 0.403471 | + | 0.883478i | ||||
\(124\) | −3.54245 | + | 3.06955i | −0.318122 | + | 0.275654i | ||||
\(125\) | −10.0465 | − | 6.45649i | −0.898585 | − | 0.577486i | ||||
\(126\) | −1.30640 | + | 2.30072i | −0.116384 | + | 0.204964i | ||||
\(127\) | 1.83189 | − | 12.7411i | 0.162554 | − | 1.13059i | −0.731243 | − | 0.682117i | \(-0.761060\pi\) |
0.893797 | − | 0.448471i | \(-0.148031\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 7.51635 | + | 8.67433i | 0.661777 | + | 0.763732i | ||||
\(130\) | 2.45065 | − | 1.11917i | 0.214936 | − | 0.0981580i | ||||
\(131\) | −9.35824 | − | 14.5617i | −0.817633 | − | 1.27226i | −0.959312 | − | 0.282349i | \(-0.908886\pi\) |
0.141679 | − | 0.989913i | \(-0.454750\pi\) | |||||||
\(132\) | 3.03160 | + | 0.890159i | 0.263867 | + | 0.0774784i | ||||
\(133\) | 3.95374 | − | 2.07433i | 0.342833 | − | 0.179867i | ||||
\(134\) | −3.70120 | − | 12.6051i | −0.319735 | − | 1.08892i | ||||
\(135\) | 1.84356 | + | 0.841925i | 0.158668 | + | 0.0724614i | ||||
\(136\) | −0.0561346 | − | 0.390425i | −0.00481350 | − | 0.0334787i | ||||
\(137\) | 3.54600i | 0.302955i | 0.988461 | + | 0.151478i | \(0.0484031\pi\) | ||||
−0.988461 | + | 0.151478i | \(0.951597\pi\) | |||||||
\(138\) | 4.70634 | + | 0.922140i | 0.400630 | + | 0.0784978i | ||||
\(139\) | − | 9.80085i | − | 0.831297i | −0.909525 | − | 0.415649i | \(-0.863555\pi\) | ||
0.909525 | − | 0.415649i | \(-0.136445\pi\) | |||||||
\(140\) | −1.22676 | + | 5.21995i | −0.103680 | + | 0.441166i | ||||
\(141\) | −3.71572 | + | 8.13629i | −0.312920 | + | 0.685199i | ||||
\(142\) | 3.17055 | − | 0.930956i | 0.266066 | − | 0.0781241i | ||||
\(143\) | 2.75045 | − | 3.17419i | 0.230004 | − | 0.265439i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | 2.19747 | − | 1.41223i | 0.182490 | − | 0.117279i | ||||
\(146\) | 5.24427 | − | 2.39498i | 0.434019 | − | 0.198210i | ||||
\(147\) | −6.99613 | − | 0.232723i | −0.577031 | − | 0.0191947i | ||||
\(148\) | −3.86048 | + | 6.00703i | −0.317330 | + | 0.493775i | ||||
\(149\) | −0.940885 | − | 0.135279i | −0.0770803 | − | 0.0110825i | 0.103667 | − | 0.994612i | \(-0.466942\pi\) |
−0.180747 | + | 0.983530i | \(0.557852\pi\) | |||||||
\(150\) | −0.883370 | − | 0.127009i | −0.0721268 | − | 0.0103703i | ||||
\(151\) | −7.13841 | − | 4.58758i | −0.580916 | − | 0.373332i | 0.216936 | − | 0.976186i | \(-0.430394\pi\) |
−0.797852 | + | 0.602854i | \(0.794030\pi\) | |||||||
\(152\) | −1.10511 | − | 1.27537i | −0.0896365 | − | 0.103446i | ||||
\(153\) | −0.163856 | − | 0.358795i | −0.0132470 | − | 0.0290069i | ||||
\(154\) | 1.64089 | + | 8.19686i | 0.132226 | + | 0.660522i | ||||
\(155\) | −2.67642 | + | 9.11506i | −0.214975 | + | 0.732139i | ||||
\(156\) | 0.870508 | − | 1.00462i | 0.0696964 | − | 0.0804340i | ||||
\(157\) | 10.9162 | − | 3.20529i | 0.871209 | − | 0.255810i | 0.184580 | − | 0.982818i | \(-0.440908\pi\) |
0.686630 | + | 0.727007i | \(0.259089\pi\) | |||||||
\(158\) | −11.2060 | − | 5.11759i | −0.891498 | − | 0.407134i | ||||
\(159\) | 0.956269 | + | 6.65099i | 0.0758370 | + | 0.527458i | ||||
\(160\) | 2.02671 | 0.160225 | ||||||||
\(161\) | 3.62454 | + | 12.1599i | 0.285654 | + | 0.958333i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 2.14267 | + | 14.9026i | 0.167827 | + | 1.16726i | 0.883364 | + | 0.468687i | \(0.155273\pi\) |
−0.715537 | + | 0.698574i | \(0.753818\pi\) | |||||||
\(164\) | 9.79824 | + | 4.47471i | 0.765114 | + | 0.349416i | ||||
\(165\) | 6.14417 | − | 1.80409i | 0.478323 | − | 0.140448i | ||||
\(166\) | −4.12233 | + | 4.75742i | −0.319955 | + | 0.369247i | ||||
\(167\) | 4.93275 | − | 16.7994i | 0.381707 | − | 1.29998i | −0.514938 | − | 0.857227i | \(-0.672185\pi\) |
0.896646 | − | 0.442749i | \(-0.145997\pi\) | |||||||
\(168\) | 0.519336 | + | 2.59428i | 0.0400676 | + | 0.200153i | ||||
\(169\) | 4.66634 | + | 10.2179i | 0.358949 | + | 0.785989i | ||||
\(170\) | −0.523505 | − | 0.604157i | −0.0401510 | − | 0.0463367i | ||||
\(171\) | −1.41966 | − | 0.912361i | −0.108564 | − | 0.0697700i | ||||
\(172\) | 11.3610 | + | 1.63346i | 0.866264 | + | 0.124550i | ||||
\(173\) | 10.5419 | + | 1.51570i | 0.801487 | + | 0.115236i | 0.530873 | − | 0.847451i | \(-0.321864\pi\) |
0.270614 | + | 0.962688i | \(0.412773\pi\) | |||||||
\(174\) | 0.696810 | − | 1.08426i | 0.0528250 | − | 0.0821973i | ||||
\(175\) | −0.788263 | − | 2.22575i | −0.0595871 | − | 0.168251i | ||||
\(176\) | 2.87406 | − | 1.31254i | 0.216641 | − | 0.0989364i | ||||
\(177\) | −3.85553 | + | 2.47780i | −0.289799 | + | 0.186243i | ||||
\(178\) | 7.03374 | + | 2.06529i | 0.527201 | + | 0.154800i | ||||
\(179\) | −2.87966 | + | 3.32330i | −0.215236 | + | 0.248395i | −0.853092 | − | 0.521760i | \(-0.825276\pi\) |
0.637857 | + | 0.770155i | \(0.279821\pi\) | |||||||
\(180\) | 1.94461 | − | 0.570990i | 0.144943 | − | 0.0425591i | ||||
\(181\) | 0.581138 | − | 1.27252i | 0.0431957 | − | 0.0945853i | −0.886804 | − | 0.462146i | \(-0.847080\pi\) |
0.930000 | + | 0.367561i | \(0.119807\pi\) | |||||||
\(182\) | 3.42373 | + | 0.804625i | 0.253783 | + | 0.0596428i | ||||
\(183\) | − | 10.4991i | − | 0.776119i | ||||||
\(184\) | 4.16069 | − | 2.38509i | 0.306730 | − | 0.175831i | ||||
\(185\) | 14.4718i | 1.06399i | ||||||||
\(186\) | 0.667078 | + | 4.63963i | 0.0489125 | + | 0.340194i | ||||
\(187\) | −1.13364 | − | 0.517718i | −0.0829003 | − | 0.0378593i | ||||
\(188\) | 2.51998 | + | 8.58227i | 0.183789 | + | 0.625927i | ||||
\(189\) | 1.22919 | + | 2.34288i | 0.0894106 | + | 0.170419i | ||||
\(190\) | −3.28164 | − | 0.963577i | −0.238075 | − | 0.0699052i | ||||
\(191\) | 6.89190 | + | 10.7240i | 0.498680 | + | 0.775962i | 0.995784 | − | 0.0917295i | \(-0.0292395\pi\) |
−0.497104 | + | 0.867691i | \(0.665603\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | 5.56024 | + | 6.41686i | 0.400235 | + | 0.461896i | 0.919715 | − | 0.392587i | \(-0.128420\pi\) |
−0.519480 | + | 0.854483i | \(0.673874\pi\) | |||||||
\(194\) | −10.2357 | − | 6.57808i | −0.734880 | − | 0.472279i | ||||
\(195\) | 0.383412 | − | 2.66669i | 0.0274567 | − | 0.190965i | ||||
\(196\) | −5.43972 | + | 4.40561i | −0.388552 | + | 0.314686i | ||||
\(197\) | −8.49587 | − | 5.45997i | −0.605306 | − | 0.389006i | 0.201788 | − | 0.979429i | \(-0.435325\pi\) |
−0.807094 | + | 0.590423i | \(0.798961\pi\) | |||||||
\(198\) | 2.38786 | − | 2.06909i | 0.169698 | − | 0.147044i | ||||
\(199\) | 4.21994 | + | 9.24037i | 0.299143 | + | 0.655033i | 0.998196 | − | 0.0600375i | \(-0.0191220\pi\) |
−0.699053 | + | 0.715070i | \(0.746395\pi\) | |||||||
\(200\) | −0.750780 | + | 0.482497i | −0.0530881 | + | 0.0341177i | ||||
\(201\) | −12.6051 | − | 3.70120i | −0.889097 | − | 0.261063i | ||||
\(202\) | −13.5057 | − | 11.7027i | −0.950255 | − | 0.823401i | ||||
\(203\) | 3.39680 | + | 0.299781i | 0.238408 | + | 0.0210405i | ||||
\(204\) | −0.358795 | − | 0.163856i | −0.0251207 | − | 0.0114722i | ||||
\(205\) | 21.6088 | − | 3.10688i | 1.50922 | − | 0.216994i | ||||
\(206\) | 5.28174 | 0.367997 | ||||||||
\(207\) | 3.32019 | − | 3.46068i | 0.230769 | − | 0.240534i | ||||
\(208\) | − | 1.32930i | − | 0.0921706i | ||||||
\(209\) | −5.27771 | + | 0.758820i | −0.365067 | + | 0.0524887i | ||||
\(210\) | 3.72806 | + | 3.85414i | 0.257261 | + | 0.265961i | ||||
\(211\) | 8.81784 | − | 2.58915i | 0.607045 | − | 0.178245i | 0.0362579 | − | 0.999342i | \(-0.488456\pi\) |
0.570787 | + | 0.821098i | \(0.306638\pi\) | |||||||
\(212\) | 5.07817 | + | 4.40026i | 0.348770 | + | 0.302211i | ||||
\(213\) | 0.930956 | − | 3.17055i | 0.0637881 | − | 0.217242i | ||||
\(214\) | −2.92534 | − | 4.55191i | −0.199972 | − | 0.311162i | ||||
\(215\) | 21.1600 | − | 9.66343i | 1.44310 | − | 0.659040i | ||||
\(216\) | 0.755750 | − | 0.654861i | 0.0514222 | − | 0.0445576i | ||||
\(217\) | −10.0501 | + | 7.26588i | −0.682247 | + | 0.493240i | ||||
\(218\) | 15.5526 | + | 2.23612i | 1.05335 | + | 0.151449i | ||||
\(219\) | 0.820484 | − | 5.70659i | 0.0554431 | − | 0.385616i | ||||
\(220\) | 3.46203 | − | 5.38702i | 0.233410 | − | 0.363193i | ||||
\(221\) | −0.396262 | + | 0.343363i | −0.0266555 | + | 0.0230971i | ||||
\(222\) | 2.96630 | + | 6.49529i | 0.199085 | + | 0.435935i | ||||
\(223\) | −1.54733 | − | 2.40769i | −0.103617 | − | 0.161231i | 0.785574 | − | 0.618768i | \(-0.212368\pi\) |
−0.889190 | + | 0.457537i | \(0.848732\pi\) | |||||||
\(224\) | 2.09138 | + | 1.62053i | 0.139736 | + | 0.108276i | ||||
\(225\) | −0.584433 | + | 0.674471i | −0.0389622 | + | 0.0449648i | ||||
\(226\) | 3.40489 | + | 11.5960i | 0.226490 | + | 0.771353i | ||||
\(227\) | 3.04279 | − | 6.66279i | 0.201957 | − | 0.442225i | −0.781370 | − | 0.624068i | \(-0.785479\pi\) |
0.983328 | + | 0.181843i | \(0.0582062\pi\) | |||||||
\(228\) | −1.67038 | + | 0.240164i | −0.110623 | + | 0.0159053i | ||||
\(229\) | 0.0980447 | 0.00647898 | 0.00323949 | − | 0.999995i | \(-0.498969\pi\) | ||||
0.00323949 | + | 0.999995i | \(0.498969\pi\) | |||||||
\(230\) | 4.48048 | − | 8.62548i | 0.295434 | − | 0.568747i | ||||
\(231\) | 7.78277 | + | 3.05115i | 0.512068 | + | 0.200751i | ||||
\(232\) | −0.183424 | − | 1.27574i | −0.0120424 | − | 0.0837564i | ||||
\(233\) | −9.23313 | + | 20.2177i | −0.604883 | + | 1.32451i | 0.321137 | + | 0.947033i | \(0.395935\pi\) |
−0.926020 | + | 0.377476i | \(0.876792\pi\) | |||||||
\(234\) | −0.374508 | − | 1.27546i | −0.0244823 | − | 0.0833792i | ||||
\(235\) | 13.7003 | + | 11.8714i | 0.893708 | + | 0.774403i | ||||
\(236\) | −1.29120 | + | 4.39743i | −0.0840501 | + | 0.286248i | ||||
\(237\) | −10.3636 | + | 6.66028i | −0.673188 | + | 0.432631i | ||||
\(238\) | −0.0571327 | − | 1.04202i | −0.00370336 | − | 0.0675444i | ||||
\(239\) | 7.53937 | + | 8.70090i | 0.487681 | + | 0.562814i | 0.945245 | − | 0.326363i | \(-0.105823\pi\) |
−0.457563 | + | 0.889177i | \(0.651278\pi\) | |||||||
\(240\) | 1.09572 | − | 1.70498i | 0.0707285 | − | 0.110056i | ||||
\(241\) | −1.10351 | + | 7.67509i | −0.0710834 | + | 0.494396i | 0.922915 | + | 0.385003i | \(0.125800\pi\) |
−0.993999 | + | 0.109393i | \(0.965109\pi\) | |||||||
\(242\) | −0.144735 | + | 1.00665i | −0.00930390 | + | 0.0647101i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | −6.87548 | − | 7.93473i | −0.440158 | − | 0.507969i | ||||
\(245\) | −4.44727 | + | 13.4719i | −0.284126 | + | 0.860687i | ||||
\(246\) | 9.06169 | − | 5.82360i | 0.577753 | − | 0.371299i | ||||
\(247\) | −0.632003 | + | 2.15240i | −0.0402134 | + | 0.136954i | ||||
\(248\) | 3.54245 | + | 3.06955i | 0.224946 | + | 0.194917i | ||||
\(249\) | 1.77350 | + | 6.03998i | 0.112391 | + | 0.382768i | ||||
\(250\) | −4.96100 | + | 10.8631i | −0.313761 | + | 0.687042i | ||||
\(251\) | −0.514062 | − | 3.57538i | −0.0324473 | − | 0.225676i | 0.967145 | − | 0.254225i | \(-0.0818204\pi\) |
−0.999592 | + | 0.0285492i | \(0.990911\pi\) | |||||||
\(252\) | 2.46322 | + | 0.965681i | 0.155168 | + | 0.0608322i | ||||
\(253\) | 0.767690 | − | 15.1334i | 0.0482642 | − | 0.951428i | ||||
\(254\) | −12.8721 | −0.807667 | ||||||||
\(255\) | −0.791277 | + | 0.113769i | −0.0495517 | + | 0.00712446i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −3.51355 | − | 11.9660i | −0.219169 | − | 0.746421i | −0.993519 | − | 0.113664i | \(-0.963741\pi\) |
0.774350 | − | 0.632757i | \(-0.218077\pi\) | |||||||
\(258\) | 7.51635 | − | 8.67433i | 0.467947 | − | 0.540040i | ||||
\(259\) | −11.5715 | + | 14.9336i | −0.719020 | + | 0.927931i | ||||
\(260\) | −1.45655 | − | 2.26643i | −0.0903311 | − | 0.140558i | ||||
\(261\) | −0.535411 | − | 1.17239i | −0.0331411 | − | 0.0725690i | ||||
\(262\) | −13.0817 | + | 11.3353i | −0.808188 | + | 0.700299i | ||||
\(263\) | 14.7276 | − | 22.9166i | 0.908144 | − | 1.41310i | −0.00253990 | − | 0.999997i | \(-0.500808\pi\) |
0.910684 | − | 0.413103i | \(-0.135555\pi\) | |||||||
\(264\) | 0.449656 | − | 3.12743i | 0.0276744 | − | 0.192480i | ||||
\(265\) | 13.4796 | + | 1.93808i | 0.828047 | + | 0.119055i | ||||
\(266\) | −2.61589 | − | 3.61829i | −0.160391 | − | 0.221851i | ||||
\(267\) | 5.54016 | − | 4.80058i | 0.339053 | − | 0.293791i | ||||
\(268\) | −11.9501 | + | 5.45742i | −0.729968 | + | 0.333365i | ||||
\(269\) | −9.17804 | − | 14.2813i | −0.559595 | − | 0.870747i | 0.440034 | − | 0.897981i | \(-0.354966\pi\) |
−0.999629 | + | 0.0272341i | \(0.991330\pi\) | |||||||
\(270\) | 0.570990 | − | 1.94461i | 0.0347493 | − | 0.118345i | ||||
\(271\) | −18.7777 | − | 16.2709i | −1.14066 | − | 0.988388i | −0.140662 | − | 0.990058i | \(-0.544923\pi\) |
−0.999999 | + | 0.00166916i | \(0.999469\pi\) | |||||||
\(272\) | −0.378462 | + | 0.111127i | −0.0229476 | + | 0.00673803i | ||||
\(273\) | 2.52790 | − | 2.44521i | 0.152995 | − | 0.147991i | ||||
\(274\) | 3.50991 | − | 0.504648i | 0.212041 | − | 0.0304869i | ||||
\(275\) | 2.81979i | 0.170039i | ||||||||
\(276\) | 0.242971 | − | 4.78967i | 0.0146252 | − | 0.288304i | ||||
\(277\) | −16.7109 | −1.00406 | −0.502031 | − | 0.864850i | \(-0.667414\pi\) | ||||
−0.502031 | + | 0.864850i | \(0.667414\pi\) | |||||||
\(278\) | −9.70109 | + | 1.39481i | −0.581833 | + | 0.0836549i | ||||
\(279\) | 4.26375 | + | 1.94719i | 0.255264 | + | 0.116575i | ||||
\(280\) | 5.34140 | + | 0.471401i | 0.319210 | + | 0.0281716i | ||||
\(281\) | 12.8503 | + | 11.1349i | 0.766586 | + | 0.664250i | 0.947682 | − | 0.319215i | \(-0.103419\pi\) |
−0.181097 | + | 0.983465i | \(0.557965\pi\) | |||||||
\(282\) | 8.58227 | + | 2.51998i | 0.511067 | + | 0.150063i | ||||
\(283\) | 4.69481 | − | 3.01717i | 0.279077 | − | 0.179352i | −0.393613 | − | 0.919276i | \(-0.628775\pi\) |
0.672690 | + | 0.739924i | \(0.265139\pi\) | |||||||
\(284\) | −1.37270 | − | 3.00579i | −0.0814545 | − | 0.178361i | ||||
\(285\) | −2.58480 | + | 2.23974i | −0.153110 | + | 0.132671i | ||||
\(286\) | −3.53331 | − | 2.27072i | −0.208929 | − | 0.134270i | ||||
\(287\) | 24.7826 | + | 14.0721i | 1.46287 | + | 0.830652i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | −14.1704 | − | 9.10678i | −0.833554 | − | 0.535693i | ||||
\(290\) | −1.71059 | − | 1.97412i | −0.100449 | − | 0.115925i | ||||
\(291\) | −11.0677 | + | 5.05444i | −0.648798 | + | 0.296296i | ||||
\(292\) | −3.11694 | − | 4.85005i | −0.182405 | − | 0.283828i | ||||
\(293\) | −2.89873 | − | 0.851144i | −0.169346 | − | 0.0497244i | 0.195961 | − | 0.980612i | \(-0.437218\pi\) |
−0.365306 | + | 0.930887i | \(0.619036\pi\) | |||||||
\(294\) | 0.765299 | + | 6.95804i | 0.0446331 | + | 0.405801i | ||||
\(295\) | 2.61689 | + | 8.91231i | 0.152361 | + | 0.518895i | ||||
\(296\) | 6.49529 | + | 2.96630i | 0.377531 | + | 0.172413i | ||||
\(297\) | −0.449656 | − | 3.12743i | −0.0260917 | − | 0.181472i | ||||
\(298\) | 0.950561i | 0.0550645i | ||||||||
\(299\) | −5.65739 | − | 2.93871i | −0.327175 | − | 0.169950i | ||||
\(300\) | 0.892454i | 0.0515258i | ||||||||
\(301\) | 29.5619 | + | 6.94748i | 1.70392 | + | 0.400446i | ||||
\(302\) | −3.52498 | + | 7.71863i | −0.202840 | + | 0.444157i | ||||
\(303\) | −17.1467 | + | 5.03472i | −0.985051 | + | 0.289237i | ||||
\(304\) | −1.10511 | + | 1.27537i | −0.0633826 | + | 0.0731474i | ||||
\(305\) | −20.4168 | − | 5.99491i | −1.16906 | − | 0.343267i | ||||
\(306\) | −0.331824 | + | 0.213250i | −0.0189691 | + | 0.0121907i | ||||
\(307\) | −29.0536 | + | 13.2683i | −1.65818 | + | 0.757265i | −0.658188 | + | 0.752854i | \(0.728677\pi\) |
−0.999990 | + | 0.00441114i | \(0.998596\pi\) | |||||||
\(308\) | 7.87990 | − | 2.79072i | 0.448999 | − | 0.159016i | ||||
\(309\) | 2.85553 | − | 4.44329i | 0.162445 | − | 0.252770i | ||||
\(310\) | 9.40317 | + | 1.35197i | 0.534064 | + | 0.0767869i | ||||
\(311\) | 10.9391 | + | 1.57280i | 0.620298 | + | 0.0891854i | 0.445297 | − | 0.895383i | \(-0.353098\pi\) |
0.175001 | + | 0.984568i | \(0.444007\pi\) | |||||||
\(312\) | −1.11828 | − | 0.718675i | −0.0633102 | − | 0.0406870i | ||||
\(313\) | −2.65387 | − | 3.06273i | −0.150006 | − | 0.173116i | 0.675773 | − | 0.737109i | \(-0.263810\pi\) |
−0.825779 | + | 0.563993i | \(0.809264\pi\) | |||||||
\(314\) | −4.72621 | − | 10.3489i | −0.266715 | − | 0.584025i | ||||
\(315\) | 5.25785 | − | 1.05254i | 0.296246 | − | 0.0593040i | ||||
\(316\) | −3.47073 | + | 11.8202i | −0.195244 | + | 0.664939i | ||||
\(317\) | 13.6041 | − | 15.7000i | 0.764082 | − | 0.881797i | −0.231772 | − | 0.972770i | \(-0.574452\pi\) |
0.995853 | + | 0.0909730i | \(0.0289977\pi\) | |||||||
\(318\) | 6.44720 | − | 1.89307i | 0.361541 | − | 0.106158i | ||||
\(319\) | −3.70426 | − | 1.69168i | −0.207399 | − | 0.0947159i | ||||
\(320\) | −0.288431 | − | 2.00608i | −0.0161238 | − | 0.112143i | ||||
\(321\) | −5.41087 | −0.302005 | ||||||||
\(322\) | 11.5203 | − | 5.31818i | 0.642000 | − | 0.296370i | ||||
\(323\) | 0.665639 | 0.0370371 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 1.07913 | + | 0.492824i | 0.0598596 | + | 0.0273370i | ||||
\(326\) | 14.4460 | − | 4.24172i | 0.800089 | − | 0.234927i | ||||
\(327\) | 10.2895 | − | 11.8747i | 0.569010 | − | 0.656673i | ||||
\(328\) | 3.03473 | − | 10.3353i | 0.167565 | − | 0.570673i | ||||
\(329\) | 4.64525 | + | 23.2048i | 0.256101 | + | 1.27932i | ||||
\(330\) | −2.66014 | − | 5.82489i | −0.146436 | − | 0.320649i | ||||
\(331\) | −0.704765 | − | 0.813342i | −0.0387374 | − | 0.0447053i | 0.736050 | − | 0.676927i | \(-0.236689\pi\) |
−0.774788 | + | 0.632222i | \(0.782143\pi\) | |||||||
\(332\) | 5.29566 | + | 3.40332i | 0.290637 | + | 0.186781i | ||||
\(333\) | 7.06789 | + | 1.01621i | 0.387318 | + | 0.0556879i | ||||
\(334\) | −17.3304 | − | 2.49174i | −0.948277 | − | 0.136342i | ||||
\(335\) | −14.3948 | + | 22.3987i | −0.786472 | + | 1.22377i | ||||
\(336\) | 2.49397 | − | 0.883254i | 0.136057 | − | 0.0481855i | ||||
\(337\) | −25.4323 | + | 11.6145i | −1.38538 | + | 0.632684i | −0.961946 | − | 0.273241i | \(-0.911904\pi\) |
−0.423439 | + | 0.905925i | \(0.639177\pi\) | |||||||
\(338\) | 9.44976 | − | 6.07299i | 0.513999 | − | 0.330327i | ||||
\(339\) | 11.5960 | + | 3.40489i | 0.629807 | + | 0.184928i | ||||
\(340\) | −0.523505 | + | 0.604157i | −0.0283910 | + | 0.0327650i | ||||
\(341\) | 14.2101 | − | 4.17248i | 0.769523 | − | 0.225952i | ||||
\(342\) | −0.701036 | + | 1.53505i | −0.0379077 | + | 0.0830062i | ||||
\(343\) | −15.3612 | + | 10.3458i | −0.829424 | + | 0.558619i | ||||
\(344\) | − | 11.4778i | − | 0.618840i | ||||||
\(345\) | −4.83389 | − | 8.43250i | −0.260248 | − | 0.453991i | ||||
\(346\) | − | 10.6503i | − | 0.572565i | ||||||
\(347\) | −2.46335 | − | 17.1330i | −0.132240 | − | 0.919746i | −0.942626 | − | 0.333851i | \(-0.891652\pi\) |
0.810386 | − | 0.585896i | \(-0.199257\pi\) | |||||||
\(348\) | −1.17239 | − | 0.535411i | −0.0628466 | − | 0.0287011i | ||||
\(349\) | −3.73321 | − | 12.7141i | −0.199834 | − | 0.680573i | −0.997041 | − | 0.0768668i | \(-0.975508\pi\) |
0.797207 | − | 0.603706i | \(-0.206310\pi\) | |||||||
\(350\) | −2.09091 | + | 1.09700i | −0.111764 | + | 0.0586370i | ||||
\(351\) | −1.27546 | − | 0.374508i | −0.0680788 | − | 0.0199898i | ||||
\(352\) | −1.70820 | − | 2.65801i | −0.0910475 | − | 0.141673i | ||||
\(353\) | −20.6957 | + | 9.45143i | −1.10152 | + | 0.503049i | −0.881375 | − | 0.472418i | \(-0.843381\pi\) |
−0.220148 | + | 0.975466i | \(0.570654\pi\) | |||||||
\(354\) | 3.00128 | + | 3.46366i | 0.159516 | + | 0.184091i | ||||
\(355\) | −5.63392 | − | 3.62070i | −0.299017 | − | 0.192167i | ||||
\(356\) | 1.04327 | − | 7.25607i | 0.0552930 | − | 0.384571i | ||||
\(357\) | −0.907495 | − | 0.515298i | −0.0480297 | − | 0.0272725i | ||||
\(358\) | 3.69929 | + | 2.37739i | 0.195514 | + | 0.125649i | ||||
\(359\) | −23.9577 | + | 20.7595i | −1.26444 | + | 1.09564i | −0.273426 | + | 0.961893i | \(0.588157\pi\) |
−0.991015 | + | 0.133751i | \(0.957298\pi\) | |||||||
\(360\) | −0.841925 | − | 1.84356i | −0.0443733 | − | 0.0971641i | ||||
\(361\) | −13.5881 | + | 8.73252i | −0.715161 | + | 0.459606i | ||||
\(362\) | −1.34227 | − | 0.394125i | −0.0705480 | − | 0.0207148i | ||||
\(363\) | 0.768600 | + | 0.665996i | 0.0403411 | + | 0.0349557i | ||||
\(364\) | 0.309188 | − | 3.50339i | 0.0162059 | − | 0.183627i | ||||
\(365\) | −10.6286 | − | 4.85393i | −0.556327 | − | 0.254066i | ||||
\(366\) | −10.3923 | + | 1.49418i | −0.543213 | + | 0.0781023i | ||||
\(367\) | 21.6902 | 1.13222 | 0.566110 | − | 0.824330i | \(-0.308448\pi\) | ||||
0.566110 | + | 0.824330i | \(0.308448\pi\) | |||||||
\(368\) | −2.95294 | − | 3.77891i | −0.153933 | − | 0.196989i | ||||
\(369\) | − | 10.7717i | − | 0.560750i | ||||||
\(370\) | 14.3245 | − | 2.05956i | 0.744698 | − | 0.107071i | ||||
\(371\) | 12.3601 | + | 12.7781i | 0.641704 | + | 0.663405i | ||||
\(372\) | 4.49747 | − | 1.32058i | 0.233183 | − | 0.0684687i | ||||
\(373\) | −9.89014 | − | 8.56985i | −0.512092 | − | 0.443730i | 0.360086 | − | 0.932919i | \(-0.382747\pi\) |
−0.872178 | + | 0.489189i | \(0.837293\pi\) | |||||||
\(374\) | −0.351114 | + | 1.19578i | −0.0181557 | + | 0.0618325i | ||||
\(375\) | 6.45649 | + | 10.0465i | 0.333412 | + | 0.518798i | ||||
\(376\) | 8.13629 | − | 3.71572i | 0.419597 | − | 0.191624i | ||||
\(377\) | −1.29481 | + | 1.12196i | −0.0666863 | + | 0.0577840i | ||||
\(378\) | 2.14410 | − | 1.55011i | 0.110281 | − | 0.0797289i | ||||
\(379\) | −0.0996937 | − | 0.0143338i | −0.00512092 | − | 0.000736277i | 0.139754 | − | 0.990186i | \(-0.455369\pi\) |
−0.144875 | + | 0.989450i | \(0.546278\pi\) | |||||||
\(380\) | −0.486743 | + | 3.38537i | −0.0249694 | + | 0.173666i | ||||
\(381\) | −6.95918 | + | 10.8287i | −0.356530 | + | 0.554771i | ||||
\(382\) | 9.63403 | − | 8.34793i | 0.492920 | − | 0.427117i | ||||
\(383\) | −2.63533 | − | 5.77057i | −0.134659 | − | 0.294862i | 0.830275 | − | 0.557354i | \(-0.188183\pi\) |
−0.964934 | + | 0.262491i | \(0.915456\pi\) | |||||||
\(384\) | −0.540641 | − | 0.841254i | −0.0275895 | − | 0.0429300i | ||||
\(385\) | 10.3772 | − | 13.3923i | 0.528871 | − | 0.682534i | ||||
\(386\) | 5.56024 | − | 6.41686i | 0.283009 | − | 0.326610i | ||||
\(387\) | −3.23366 | − | 11.0128i | −0.164376 | − | 0.559814i | ||||
\(388\) | −5.05444 | + | 11.0677i | −0.256600 | + | 0.561876i | ||||
\(389\) | −1.52574 | + | 0.219369i | −0.0773582 | + | 0.0111224i | −0.180885 | − | 0.983504i | \(-0.557896\pi\) |
0.103527 | + | 0.994627i | \(0.466987\pi\) | |||||||
\(390\) | −2.69411 | −0.136422 | ||||||||
\(391\) | −0.363729 | + | 1.85637i | −0.0183945 | + | 0.0938806i | ||||
\(392\) | 5.13492 | + | 4.75737i | 0.259353 | + | 0.240284i | ||||
\(393\) | 2.46340 | + | 17.1333i | 0.124262 | + | 0.864263i | ||||
\(394\) | −4.19530 | + | 9.18643i | −0.211356 | + | 0.462806i | ||||
\(395\) | 7.03415 | + | 23.9561i | 0.353927 | + | 1.20536i | ||||
\(396\) | −2.38786 | − | 2.06909i | −0.119994 | − | 0.103976i | ||||
\(397\) | −1.30492 | + | 4.44416i | −0.0654922 | + | 0.223046i | −0.985736 | − | 0.168300i | \(-0.946172\pi\) |
0.920244 | + | 0.391346i | \(0.127990\pi\) | |||||||
\(398\) | 8.54576 | − | 5.49203i | 0.428360 | − | 0.275290i | ||||
\(399\) | −4.45815 | + | 0.244434i | −0.223187 | + | 0.0122370i | ||||
\(400\) | 0.584433 | + | 0.674471i | 0.0292216 | + | 0.0337236i | ||||
\(401\) | −2.97498 | + | 4.62916i | −0.148564 | + | 0.231169i | −0.907557 | − | 0.419929i | \(-0.862055\pi\) |
0.758994 | + | 0.651098i | \(0.225691\pi\) | |||||||
\(402\) | −1.86963 | + | 13.0036i | −0.0932487 | + | 0.648559i | ||||
\(403\) | 0.886749 | − | 6.16747i | 0.0441721 | − | 0.307224i | ||||
\(404\) | −9.66155 | + | 15.0337i | −0.480680 | + | 0.747953i | ||||
\(405\) | −1.32721 | − | 1.53168i | −0.0659497 | − | 0.0761100i | ||||
\(406\) | −0.186685 | − | 3.40489i | −0.00926502 | − | 0.168982i | ||||
\(407\) | 18.9797 | − | 12.1975i | 0.940791 | − | 0.604609i | ||||
\(408\) | −0.111127 | + | 0.378462i | −0.00550158 | + | 0.0187367i | ||||
\(409\) | 17.6738 | + | 15.3144i | 0.873912 | + | 0.757249i | 0.971265 | − | 0.238001i | \(-0.0764922\pi\) |
−0.0973533 | + | 0.995250i | \(0.531038\pi\) | |||||||
\(410\) | −6.15051 | − | 20.9467i | −0.303752 | − | 1.03448i | ||||
\(411\) | 1.47306 | − | 3.22555i | 0.0726607 | − | 0.159105i | ||||
\(412\) | −0.751671 | − | 5.22798i | −0.0370322 | − | 0.257564i | ||||
\(413\) | −4.42579 | + | 11.2891i | −0.217779 | + | 0.555502i | ||||
\(414\) | −3.89797 | − | 2.79389i | −0.191575 | − | 0.137312i | ||||
\(415\) | 12.7581 | 0.626268 | ||||||||
\(416\) | −1.31577 | + | 0.189180i | −0.0645111 | + | 0.00927529i | ||||
\(417\) | −4.07142 | + | 8.91517i | −0.199378 | + | 0.436578i | ||||
\(418\) | 1.50219 | + | 5.11600i | 0.0734746 | + | 0.250232i | ||||
\(419\) | −3.75591 | + | 4.33455i | −0.183488 | + | 0.211757i | −0.840040 | − | 0.542524i | \(-0.817469\pi\) |
0.656552 | + | 0.754281i | \(0.272014\pi\) | |||||||
\(420\) | 3.28435 | − | 4.23862i | 0.160260 | − | 0.206823i | ||||
\(421\) | 3.59887 | + | 5.59995i | 0.175398 | + | 0.272925i | 0.917811 | − | 0.397018i | \(-0.129955\pi\) |
−0.742413 | + | 0.669943i | \(0.766319\pi\) | |||||||
\(422\) | −3.81771 | − | 8.35961i | −0.185843 | − | 0.406940i | ||||
\(423\) | 6.75987 | − | 5.85746i | 0.328676 | − | 0.284800i | ||||
\(424\) | 3.63278 | − | 5.65271i | 0.176423 | − | 0.274520i | ||||
\(425\) | 0.0500975 | − | 0.348436i | 0.00243009 | − | 0.0169016i | ||||
\(426\) | −3.27076 | − | 0.470265i | −0.158469 | − | 0.0227844i | ||||
\(427\) | −16.2748 | − | 22.5112i | −0.787593 | − | 1.08939i | ||||
\(428\) | −4.08926 | + | 3.54337i | −0.197662 | + | 0.171275i | ||||
\(429\) | −3.82050 | + | 1.74476i | −0.184455 | + | 0.0842380i | ||||
\(430\) | −12.5764 | − | 19.5693i | −0.606490 | − | 0.943717i | ||||
\(431\) | 2.56015 | − | 8.71906i | 0.123318 | − | 0.419982i | −0.874573 | − | 0.484894i | \(-0.838858\pi\) |
0.997891 | + | 0.0649113i | \(0.0206765\pi\) | |||||||
\(432\) | −0.755750 | − | 0.654861i | −0.0363610 | − | 0.0315070i | ||||
\(433\) | −12.5085 | + | 3.67282i | −0.601118 | + | 0.176504i | −0.568113 | − | 0.822951i | \(-0.692326\pi\) |
−0.0330058 | + | 0.999455i | \(0.510508\pi\) | |||||||
\(434\) | 8.62221 | + | 8.91379i | 0.413879 | + | 0.427876i | ||||
\(435\) | −2.58555 | + | 0.371746i | −0.123968 | + | 0.0178239i | ||||
\(436\) | − | 15.7125i | − | 0.752492i | ||||||
\(437\) | 2.98476 | + | 7.52274i | 0.142780 | + | 0.359861i | ||||
\(438\) | −5.76527 | −0.275475 | ||||||||
\(439\) | 20.3243 | − | 2.92219i | 0.970025 | − | 0.139469i | 0.360953 | − | 0.932584i | \(-0.382451\pi\) |
0.609072 | + | 0.793115i | \(0.291542\pi\) | |||||||
\(440\) | −5.82489 | − | 2.66014i | −0.277691 | − | 0.126817i | ||||
\(441\) | 6.26723 | + | 3.11799i | 0.298439 | + | 0.148476i | ||||
\(442\) | 0.396262 | + | 0.343363i | 0.0188483 | + | 0.0163321i | ||||
\(443\) | −10.6173 | − | 3.11751i | −0.504442 | − | 0.148117i | 0.0196037 | − | 0.999808i | \(-0.493760\pi\) |
−0.524045 | + | 0.851690i | \(0.675578\pi\) | |||||||
\(444\) | 6.00703 | − | 3.86048i | 0.285081 | − | 0.183210i | ||||
\(445\) | −6.17189 | − | 13.5146i | −0.292576 | − | 0.640651i | ||||
\(446\) | −2.16298 | + | 1.87423i | −0.102420 | + | 0.0887473i | ||||
\(447\) | 0.799662 | + | 0.513912i | 0.0378227 | + | 0.0243072i | ||||
\(448\) | 1.30640 | − | 2.30072i | 0.0617218 | − | 0.108699i | ||||
\(449\) | 3.62645 | − | 25.2225i | 0.171143 | − | 1.19032i | −0.705333 | − | 0.708876i | \(-0.749202\pi\) |
0.876475 | − | 0.481447i | \(-0.159888\pi\) | |||||||
\(450\) | 0.750780 | + | 0.482497i | 0.0353921 | + | 0.0227451i | ||||
\(451\) | −22.2875 | − | 25.7212i | −1.04948 | − | 1.21116i | ||||
\(452\) | 10.9934 | − | 5.02051i | 0.517085 | − | 0.236145i | ||||
\(453\) | 4.58758 | + | 7.13841i | 0.215543 | + | 0.335392i | ||||
\(454\) | −7.02800 | − | 2.06361i | −0.329841 | − | 0.0968499i | ||||
\(455\) | −3.31158 | − | 6.31197i | −0.155249 | − | 0.295910i | ||||
\(456\) | 0.475439 | + | 1.61920i | 0.0222645 | + | 0.0758259i | ||||
\(457\) | −17.6448 | − | 8.05809i | −0.825387 | − | 0.376942i | −0.0424932 | − | 0.999097i | \(-0.513530\pi\) |
−0.782894 | + | 0.622155i | \(0.786257\pi\) | |||||||
\(458\) | −0.0139532 | − | 0.0970468i | −0.000651991 | − | 0.00453470i | ||||
\(459\) | 0.394440i | 0.0184109i | ||||||||
\(460\) | −9.17532 | − | 3.20734i | −0.427802 | − | 0.149543i | ||||
\(461\) | 18.7787i | 0.874611i | 0.899313 | + | 0.437306i | \(0.144067\pi\) | ||||
−0.899313 | + | 0.437306i | \(0.855933\pi\) | |||||||
\(462\) | 1.91249 | − | 8.13777i | 0.0889773 | − | 0.378603i | ||||
\(463\) | −1.81148 | + | 3.96660i | −0.0841868 | + | 0.184343i | −0.947044 | − | 0.321105i | \(-0.895946\pi\) |
0.862857 | + | 0.505449i | \(0.168673\pi\) | |||||||
\(464\) | −1.23665 | + | 0.363114i | −0.0574101 | + | 0.0168571i | ||||
\(465\) | 6.22109 | − | 7.17952i | 0.288496 | − | 0.332942i | ||||
\(466\) | 21.3260 | + | 6.26187i | 0.987906 | + | 0.290075i | ||||
\(467\) | −12.4006 | + | 7.96938i | −0.573832 | + | 0.368779i | −0.795141 | − | 0.606424i | \(-0.792603\pi\) |
0.221310 | + | 0.975204i | \(0.428967\pi\) | |||||||
\(468\) | −1.20918 | + | 0.552212i | −0.0558942 | + | 0.0255260i | ||||
\(469\) | −32.7639 | + | 11.6036i | −1.51290 | + | 0.535803i | ||||
\(470\) | 9.80078 | − | 15.2503i | 0.452076 | − | 0.703444i | ||||
\(471\) | −11.2613 | − | 1.61913i | −0.518892 | − | 0.0746054i | ||||
\(472\) | 4.53643 | + | 0.652240i | 0.208806 | + | 0.0300218i | ||||
\(473\) | −30.5081 | − | 19.6064i | −1.40276 | − | 0.901502i | ||||
\(474\) | 8.06738 | + | 9.31025i | 0.370547 | + | 0.427634i | ||||
\(475\) | −0.625642 | − | 1.36996i | −0.0287064 | − | 0.0628583i | ||||
\(476\) | −1.02329 | + | 0.204847i | −0.0469023 | + | 0.00938913i | ||||
\(477\) | 1.89307 | − | 6.44720i | 0.0866777 | − | 0.295197i | ||||
\(478\) | 7.53937 | − | 8.70090i | 0.344843 | − | 0.397970i | ||||
\(479\) | −37.1905 | + | 10.9201i | −1.69928 | + | 0.498952i | −0.980538 | − | 0.196330i | \(-0.937098\pi\) |
−0.718737 | + | 0.695282i | \(0.755280\pi\) | |||||||
\(480\) | −1.84356 | − | 0.841925i | −0.0841466 | − | 0.0384284i | ||||
\(481\) | −1.35085 | − | 9.39536i | −0.0615934 | − | 0.428392i | ||||
\(482\) | 7.75401 | 0.353186 | ||||||||
\(483\) | 1.75440 | − | 12.5667i | 0.0798281 | − | 0.571805i | ||||
\(484\) | 1.01700 | 0.0462275 | ||||||||
\(485\) | 3.50939 | + | 24.4084i | 0.159353 | + | 1.10833i | ||||
\(486\) | −0.909632 | − | 0.415415i | −0.0412617 | − | 0.0188436i | ||||
\(487\) | 11.2215 | − | 3.29492i | 0.508493 | − | 0.149307i | −0.0174151 | − | 0.999848i | \(-0.505544\pi\) |
0.525908 | + | 0.850541i | \(0.323726\pi\) | |||||||
\(488\) | −6.87548 | + | 7.93473i | −0.311238 | + | 0.359188i | ||||
\(489\) | 4.24172 | − | 14.4460i | 0.191817 | − | 0.653270i | ||||
\(490\) | 13.9677 | + | 2.48476i | 0.630995 | + | 0.112250i | ||||
\(491\) | −8.71981 | − | 19.0937i | −0.393519 | − | 0.861687i | −0.997886 | − | 0.0649813i | \(-0.979301\pi\) |
0.604367 | − | 0.796706i | \(-0.293426\pi\) | |||||||
\(492\) | −7.05394 | − | 8.14068i | −0.318016 | − | 0.367010i | ||||
\(493\) | 0.427674 | + | 0.274849i | 0.0192615 | + | 0.0123786i | ||||
\(494\) | 2.22044 | + | 0.319251i | 0.0999022 | + | 0.0143638i | ||||
\(495\) | −6.33838 | − | 0.911322i | −0.284889 | − | 0.0409609i | ||||
\(496\) | 2.53417 | − | 3.94324i | 0.113787 | − | 0.177057i | ||||
\(497\) | −2.91862 | − | 8.24105i | −0.130918 | − | 0.369662i | ||||
\(498\) | 5.72610 | − | 2.61502i | 0.256593 | − | 0.117182i | ||||
\(499\) | 21.8262 | − | 14.0268i | 0.977073 | − | 0.627927i | 0.0484008 | − | 0.998828i | \(-0.484588\pi\) |
0.928672 | + | 0.370901i | \(0.120951\pi\) | |||||||
\(500\) | 11.4585 | + | 3.36453i | 0.512441 | + | 0.150466i | ||||
\(501\) | −11.4657 | + | 13.2321i | −0.512250 | + | 0.591168i | ||||
\(502\) | −3.46583 | + | 1.01766i | −0.154687 | + | 0.0454203i | ||||
\(503\) | −15.6893 | + | 34.3548i | −0.699551 | + | 1.53180i | 0.140964 | + | 0.990015i | \(0.454980\pi\) |
−0.840515 | + | 0.541788i | \(0.817747\pi\) | |||||||
\(504\) | 0.605299 | − | 2.57558i | 0.0269621 | − | 0.114725i | ||||
\(505\) | 36.2184i | 1.61170i | ||||||||
\(506\) | −15.0886 | + | 1.39383i | −0.670771 | + | 0.0619633i | ||||
\(507\) | − | 11.2330i | − | 0.498873i | ||||||
\(508\) | 1.83189 | + | 12.7411i | 0.0812770 | + | 0.565294i | ||||
\(509\) | 0.985219 | + | 0.449935i | 0.0436691 | + | 0.0199430i | 0.437130 | − | 0.899398i | \(-0.355995\pi\) |
−0.393461 | + | 0.919341i | \(0.628722\pi\) | |||||||
\(510\) | 0.225221 | + | 0.767032i | 0.00997295 | + | 0.0339648i | ||||
\(511\) | −7.08663 | − | 13.5073i | −0.313494 | − | 0.597529i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.912361 | + | 1.41966i | 0.0402817 | + | 0.0626796i | ||||
\(514\) | −11.3442 | + | 5.18073i | −0.500372 | + | 0.228512i | ||||
\(515\) | −7.00999 | − | 8.08996i | −0.308897 | − | 0.356486i | ||||
\(516\) | −9.65572 | − | 6.20536i | −0.425069 | − | 0.273176i | ||||
\(517\) | 4.02199 | − | 27.9736i | 0.176887 | − | 1.23028i | ||||
\(518\) | 16.4284 | + | 9.32847i | 0.721824 | + | 0.409869i | ||||
\(519\) | −8.95962 | − | 5.75800i | −0.393284 | − | 0.252748i | ||||
\(520\) | −2.03607 | + | 1.76427i | −0.0892877 | + | 0.0773682i | ||||
\(521\) | 13.1783 | + | 28.8565i | 0.577353 | + | 1.26423i | 0.942789 | + | 0.333390i | \(0.108192\pi\) |
−0.365436 | + | 0.930836i | \(0.619080\pi\) | |||||||
\(522\) | −1.08426 | + | 0.696810i | −0.0474566 | + | 0.0304985i | ||||
\(523\) | 17.0834 | + | 5.01614i | 0.747004 | + | 0.219340i | 0.633013 | − | 0.774141i | \(-0.281818\pi\) |
0.113992 | + | 0.993482i | \(0.463636\pi\) | |||||||
\(524\) | 13.0817 | + | 11.3353i | 0.571475 | + | 0.495186i | ||||
\(525\) | −0.207580 | + | 2.35207i | −0.00905951 | + | 0.102653i | ||||
\(526\) | −24.7793 | − | 11.3163i | −1.08043 | − | 0.493416i | ||||
\(527\) | −1.83005 | + | 0.263122i | −0.0797184 | + | 0.0114618i | ||||
\(528\) | −3.15959 | −0.137503 | ||||||||
\(529\) | −22.6108 | + | 4.21336i | −0.983078 | + | 0.183189i | ||||
\(530\) | − | 13.6182i | − | 0.591538i | ||||||
\(531\) | 4.53643 | − | 0.652240i | 0.196864 | − | 0.0283048i | ||||
\(532\) | −3.20918 | + | 3.10420i | −0.139136 | + | 0.134584i | ||||
\(533\) | −13.7388 | + | 4.03407i | −0.595093 | + | 0.174735i | ||||
\(534\) | −5.54016 | − | 4.80058i | −0.239746 | − | 0.207741i | ||||
\(535\) | −3.08955 | + | 10.5220i | −0.133573 | + | 0.454908i | ||||
\(536\) | 7.10255 | + | 11.0518i | 0.306783 | + | 0.477364i | ||||
\(537\) | 3.99998 | − | 1.82673i | 0.172612 | − | 0.0788291i | ||||
\(538\) | −12.8298 | + | 11.1171i | −0.553131 | + | 0.479291i | ||||
\(539\) | 21.4166 | − | 5.52214i | 0.922480 | − | 0.237856i | ||||
\(540\) | −2.00608 | − | 0.288431i | −0.0863279 | − | 0.0124121i | ||||
\(541\) | 4.81173 | − | 33.4663i | 0.206872 | − | 1.43883i | −0.576409 | − | 0.817161i | \(-0.695547\pi\) |
0.783281 | − | 0.621667i | \(-0.213544\pi\) | |||||||
\(542\) | −13.4330 | + | 20.9021i | −0.576996 | + | 0.897823i | ||||
\(543\) | −1.05724 | + | 0.916107i | −0.0453707 | + | 0.0393139i | ||||
\(544\) | 0.163856 | + | 0.358795i | 0.00702528 | + | 0.0153832i | ||||
\(545\) | −17.2165 | − | 26.7894i | −0.737474 | − | 1.14753i | ||||
\(546\) | −2.78008 | − | 2.15418i | −0.118976 | − | 0.0921904i | ||||
\(547\) | 21.6818 | − | 25.0222i | 0.927049 | − | 1.06987i | −0.0703308 | − | 0.997524i | \(-0.522405\pi\) |
0.997379 | − | 0.0723475i | \(-0.0230491\pi\) | |||||||
\(548\) | −0.999023 | − | 3.40236i | −0.0426762 | − | 0.145342i | ||||
\(549\) | −4.36150 | + | 9.55036i | −0.186144 | + | 0.407600i | ||||
\(550\) | 2.79108 | − | 0.401297i | 0.119012 | − | 0.0171114i | ||||
\(551\) | 2.17502 | 0.0926590 | ||||||||
\(552\) | −4.77550 | + | 0.441143i | −0.203259 | + | 0.0187763i | ||||
\(553\) | −11.8964 | + | 30.3450i | −0.505888 | + | 1.29040i | ||||
\(554\) | 2.37821 | + | 16.5408i | 0.101040 | + | 0.702752i | ||||
\(555\) | 6.01182 | − | 13.1641i | 0.255188 | − | 0.558783i | ||||
\(556\) | 2.76122 | + | 9.40385i | 0.117102 | + | 0.398812i | ||||
\(557\) | −12.2212 | − | 10.5898i | −0.517830 | − | 0.448702i | 0.356316 | − | 0.934366i | \(-0.384033\pi\) |
−0.874146 | + | 0.485663i | \(0.838578\pi\) | |||||||
\(558\) | 1.32058 | − | 4.49747i | 0.0559044 | − | 0.190393i | ||||
\(559\) | −12.8354 | + | 8.24880i | −0.542879 | + | 0.348887i | ||||
\(560\) | −0.293559 | − | 5.35412i | −0.0124051 | − | 0.226253i | ||||
\(561\) | 0.816131 | + | 0.941866i | 0.0344571 | + | 0.0397656i | ||||
\(562\) | 9.19274 | − | 14.3042i | 0.387772 | − | 0.603385i | ||||
\(563\) | 5.05548 | − | 35.1617i | 0.213063 | − | 1.48189i | −0.549783 | − | 0.835307i | \(-0.685290\pi\) |
0.762846 | − | 0.646580i | \(-0.223801\pi\) | |||||||
\(564\) | 1.27295 | − | 8.85355i | 0.0536008 | − | 0.372802i | ||||
\(565\) | 13.2424 | − | 20.6055i | 0.557111 | − | 0.866881i | ||||
\(566\) | −3.65460 | − | 4.21763i | −0.153614 | − | 0.177280i | ||||
\(567\) | −0.144845 | − | 2.64178i | −0.00608292 | − | 0.110944i | ||||
\(568\) | −2.77984 | + | 1.78649i | −0.116639 | + | 0.0749595i | ||||
\(569\) | −8.20931 | + | 27.9583i | −0.344152 | + | 1.17207i | 0.587652 | + | 0.809113i | \(0.300052\pi\) |
−0.931804 | + | 0.362961i | \(0.881766\pi\) | |||||||
\(570\) | 2.58480 | + | 2.23974i | 0.108265 | + | 0.0938125i | ||||
\(571\) | 5.15610 | + | 17.5601i | 0.215776 | + | 0.734865i | 0.994240 | + | 0.107176i | \(0.0341809\pi\) |
−0.778464 | + | 0.627689i | \(0.784001\pi\) | |||||||
\(572\) | −1.74476 | + | 3.82050i | −0.0729522 | + | 0.159743i | ||||
\(573\) | −1.81418 | − | 12.6179i | −0.0757884 | − | 0.527120i | ||||
\(574\) | 10.4020 | − | 26.5330i | 0.434170 | − | 1.10747i | ||||
\(575\) | 4.16250 | − | 0.996226i | 0.173588 | − | 0.0415455i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −3.34121 | + | 0.480393i | −0.139096 | + | 0.0199990i | −0.211511 | − | 0.977376i | \(-0.567839\pi\) |
0.0724149 | + | 0.997375i | \(0.476929\pi\) | |||||||
\(578\) | −6.99742 | + | 15.3222i | −0.291054 | + | 0.637320i | ||||
\(579\) | −2.39211 | − | 8.14679i | −0.0994129 | − | 0.338569i | ||||
\(580\) | −1.71059 | + | 1.97412i | −0.0710283 | + | 0.0819711i | ||||
\(581\) | 13.1652 | + | 10.2012i | 0.546183 | + | 0.423217i | ||||
\(582\) | 6.57808 | + | 10.2357i | 0.272670 | + | 0.424283i | ||||
\(583\) | −8.81947 | − | 19.3119i | −0.365265 | − | 0.799819i | ||||
\(584\) | −4.35710 | + | 3.77545i | −0.180298 | + | 0.156229i | ||||
\(585\) | −1.45655 | + | 2.26643i | −0.0602207 | + | 0.0937053i | ||||
\(586\) | −0.429948 | + | 2.99036i | −0.0177610 | + | 0.123530i | ||||
\(587\) | −12.4108 | − | 1.78440i | −0.512247 | − | 0.0736501i | −0.118656 | − | 0.992935i | \(-0.537858\pi\) |
−0.393592 | + | 0.919285i | \(0.628768\pi\) | |||||||
\(588\) | 6.77830 | − | 1.74774i | 0.279533 | − | 0.0720756i | ||||
\(589\) | −5.97809 | + | 5.18004i | −0.246323 | + | 0.213440i | ||||
\(590\) | 8.44917 | − | 3.85861i | 0.347847 | − | 0.158856i | ||||
\(591\) | 5.45997 | + | 8.49587i | 0.224593 | + | 0.349474i | ||||
\(592\) | 2.01173 | − | 6.85133i | 0.0826816 | − | 0.281588i | ||||
\(593\) | 14.8339 | + | 12.8536i | 0.609155 | + | 0.527836i | 0.903902 | − | 0.427740i | \(-0.140690\pi\) |
−0.294747 | + | 0.955575i | \(0.595235\pi\) | |||||||
\(594\) | −3.03160 | + | 0.890159i | −0.124388 | + | 0.0365237i | ||||
\(595\) | −1.52022 | + | 1.47050i | −0.0623231 | + | 0.0602845i | ||||
\(596\) | 0.940885 | − | 0.135279i | 0.0385402 | − | 0.00554124i | ||||
\(597\) | − | 10.1584i | − | 0.415754i | ||||||
\(598\) | −2.10367 | + | 6.01803i | −0.0860255 | + | 0.246095i | ||||
\(599\) | 7.92967 | 0.323998 | 0.161999 | − | 0.986791i | \(-0.448206\pi\) | ||||
0.161999 | + | 0.986791i | \(0.448206\pi\) | |||||||
\(600\) | 0.883370 | − | 0.127009i | 0.0360634 | − | 0.00518514i | ||||
\(601\) | −3.25760 | − | 1.48770i | −0.132880 | − | 0.0606844i | 0.347865 | − | 0.937545i | \(-0.386907\pi\) |
−0.480746 | + | 0.876860i | \(0.659634\pi\) | |||||||
\(602\) | 2.66966 | − | 30.2498i | 0.108807 | − | 1.23289i | ||||
\(603\) | 9.92850 | + | 8.60309i | 0.404320 | + | 0.350345i | ||||
\(604\) | 8.14173 | + | 2.39063i | 0.331282 | + | 0.0972732i | ||||
\(605\) | 1.73397 | − | 1.11435i | 0.0704958 | − | 0.0453049i | ||||
\(606\) | 7.42370 | + | 16.2556i | 0.301567 | + | 0.660340i | ||||
\(607\) | 4.43826 | − | 3.84577i | 0.180143 | − | 0.156095i | −0.560121 | − | 0.828411i | \(-0.689246\pi\) |
0.740265 | + | 0.672315i | \(0.234700\pi\) | |||||||
\(608\) | 1.41966 | + | 0.912361i | 0.0575749 | + | 0.0370011i | ||||
\(609\) | −2.96530 | − | 1.68377i | −0.120160 | − | 0.0682298i | ||||
\(610\) | −3.02828 | + | 21.0621i | −0.122611 | + | 0.852781i | ||||
\(611\) | −10.0026 | − | 6.42826i | −0.404661 | − | 0.260060i | ||||
\(612\) | 0.258303 | + | 0.298098i | 0.0104413 | + | 0.0120499i | ||||
\(613\) | 15.8186 | − | 7.22412i | 0.638908 | − | 0.291780i | −0.0695007 | − | 0.997582i | \(-0.522141\pi\) |
0.708409 | + | 0.705802i | \(0.249413\pi\) | |||||||
\(614\) | 17.2681 | + | 26.8696i | 0.696882 | + | 1.08437i | ||||
\(615\) | −20.9467 | − | 6.15051i | −0.844652 | − | 0.248012i | ||||
\(616\) | −3.88374 | − | 7.40254i | −0.156480 | − | 0.298257i | ||||
\(617\) | 7.53258 | + | 25.6536i | 0.303250 | + | 1.03278i | 0.960309 | + | 0.278937i | \(0.0899820\pi\) |
−0.657059 | + | 0.753839i | \(0.728200\pi\) | |||||||
\(618\) | −4.80444 | − | 2.19412i | −0.193263 | − | 0.0882603i | ||||
\(619\) | −1.16464 | − | 8.10026i | −0.0468109 | − | 0.325577i | −0.999749 | − | 0.0224115i | \(-0.992866\pi\) |
0.952938 | − | 0.303165i | \(-0.0980435\pi\) | |||||||
\(620\) | − | 9.49987i | − | 0.381524i | ||||||
\(621\) | −4.45777 | + | 1.76869i | −0.178884 | + | 0.0709750i | ||||
\(622\) | − | 11.0516i | − | 0.443127i | ||||||
\(623\) | 4.43726 | − | 18.8808i | 0.177775 | − | 0.756442i | ||||
\(624\) | −0.552212 | + | 1.20918i | −0.0221062 | + | 0.0484058i | ||||
\(625\) | 18.9416 | − | 5.56176i | 0.757664 | − | 0.222470i | ||||
\(626\) | −2.65387 | + | 3.06273i | −0.106070 | + | 0.122411i | ||||
\(627\) | 5.11600 | + | 1.50219i | 0.204313 | + | 0.0599918i | ||||
\(628\) | −9.57100 | + | 6.15091i | −0.381925 | + | 0.245448i | ||||
\(629\) | −2.56200 | + | 1.17003i | −0.102154 | + | 0.0466520i | ||||
\(630\) | −1.79010 | − | 5.05454i | −0.0713192 | − | 0.201378i | ||||
\(631\) | 18.9792 | − | 29.5321i | 0.755548 | − | 1.17566i | −0.224028 | − | 0.974583i | \(-0.571921\pi\) |
0.979576 | − | 0.201073i | \(-0.0644429\pi\) | |||||||
\(632\) | 12.1938 | + | 1.75321i | 0.485045 | + | 0.0697389i | ||||
\(633\) | −9.09656 | − | 1.30789i | −0.361556 | − | 0.0519839i | ||||
\(634\) | −17.4762 | − | 11.2313i | −0.694069 | − | 0.446051i | ||||
\(635\) | 17.0840 | + | 19.7160i | 0.677958 | + | 0.782405i | ||||
\(636\) | −2.79133 | − | 6.11217i | −0.110684 | − | 0.242363i | ||||
\(637\) | 1.62974 | − | 9.16129i | 0.0645725 | − | 0.362984i | ||||
\(638\) | −1.14729 | + | 3.90731i | −0.0454216 | + | 0.154692i | ||||
\(639\) | −2.16392 | + | 2.49730i | −0.0856033 | + | 0.0987915i | ||||
\(640\) | −1.94461 | + | 0.570990i | −0.0768676 | + | 0.0225703i | ||||
\(641\) | 4.73216 | + | 2.16111i | 0.186909 | + | 0.0853586i | 0.506671 | − | 0.862139i | \(-0.330876\pi\) |
−0.319762 | + | 0.947498i | \(0.603603\pi\) | |||||||
\(642\) | 0.770047 | + | 5.35579i | 0.0303913 | + | 0.211376i | ||||
\(643\) | −24.0749 | −0.949420 | −0.474710 | − | 0.880142i | \(-0.657447\pi\) | ||||
−0.474710 | + | 0.880142i | \(0.657447\pi\) | |||||||
\(644\) | −6.90355 | − | 10.6462i | −0.272038 | − | 0.419518i | ||||
\(645\) | −23.2621 | −0.915945 | ||||||||
\(646\) | −0.0947303 | − | 0.658863i | −0.00372711 | − | 0.0259226i | ||||
\(647\) | −7.00822 | − | 3.20055i | −0.275522 | − | 0.125827i | 0.272863 | − | 0.962053i | \(-0.412030\pi\) |
−0.548384 | + | 0.836227i | \(0.684757\pi\) | |||||||
\(648\) | −0.959493 | + | 0.281733i | −0.0376924 | + | 0.0110675i | ||||
\(649\) | 9.48280 | − | 10.9437i | 0.372233 | − | 0.429579i | ||||
\(650\) | 0.334231 | − | 1.13829i | 0.0131096 | − | 0.0446472i | ||||
\(651\) | 12.1603 | − | 2.43430i | 0.476599 | − | 0.0954079i | ||||
\(652\) | −6.25442 | − | 13.6953i | −0.244942 | − | 0.536348i | ||||
\(653\) | −29.9476 | − | 34.5614i | −1.17194 | − | 1.35249i | −0.923385 | − | 0.383875i | \(-0.874589\pi\) |
−0.248556 | − | 0.968617i | \(-0.579956\pi\) | |||||||
\(654\) | −13.2182 | − | 8.49481i | −0.516872 | − | 0.332173i | ||||
\(655\) | 34.7243 | + | 4.99260i | 1.35679 | + | 0.195077i | ||||
\(656\) | −10.6620 | − | 1.53297i | −0.416282 | − | 0.0598523i | ||||
\(657\) | −3.11694 | + | 4.85005i | −0.121603 | + | 0.189219i | ||||
\(658\) | 22.3075 | − | 7.90035i | 0.869637 | − | 0.307988i | ||||
\(659\) | −23.7361 | + | 10.8399i | −0.924626 | + | 0.422263i | −0.820075 | − | 0.572257i | \(-0.806068\pi\) |
−0.104552 | + | 0.994519i | \(0.533341\pi\) | |||||||
\(660\) | −5.38702 | + | 3.46203i | −0.209689 | + | 0.134759i | ||||
\(661\) | 43.4872 | + | 12.7690i | 1.69145 | + | 0.496656i | 0.978793 | − | 0.204852i | \(-0.0656714\pi\) |
0.712662 | + | 0.701508i | \(0.247490\pi\) | |||||||
\(662\) | −0.704765 | + | 0.813342i | −0.0273915 | + | 0.0316114i | ||||
\(663\) | 0.503091 | − | 0.147721i | 0.0195384 | − | 0.00573700i | ||||
\(664\) | 2.61502 | − | 5.72610i | 0.101483 | − | 0.222216i | ||||
\(665\) | −2.07023 | + | 8.80895i | −0.0802801 | + | 0.341597i | ||||
\(666\) | − | 7.14057i | − | 0.276691i | ||||||
\(667\) | −1.18851 | + | 6.06581i | −0.0460192 | + | 0.234869i | ||||
\(668\) | 17.5086i | 0.677429i | ||||||||
\(669\) | 0.407309 | + | 2.83290i | 0.0157475 | + | 0.109526i | ||||
\(670\) | 24.2194 | + | 11.0606i | 0.935675 | + | 0.427309i | ||||
\(671\) | 9.34591 | + | 31.8292i | 0.360795 | + | 1.22875i | ||||
\(672\) | −1.22919 | − | 2.34288i | −0.0474171 | − | 0.0903786i | ||||
\(673\) | −25.3245 | − | 7.43594i | −0.976187 | − | 0.286634i | −0.245537 | − | 0.969387i | \(-0.578964\pi\) |
−0.730649 | + | 0.682753i | \(0.760783\pi\) | |||||||
\(674\) | 15.1157 | + | 23.5205i | 0.582235 | + | 0.905976i | ||||
\(675\) | 0.811804 | − | 0.370739i | 0.0312464 | − | 0.0142697i | ||||
\(676\) | −7.35602 | − | 8.48930i | −0.282924 | − | 0.326512i | ||||
\(677\) | −1.84616 | − | 1.18645i | −0.0709536 | − | 0.0455991i | 0.504683 | − | 0.863305i | \(-0.331609\pi\) |
−0.575637 | + | 0.817706i | \(0.695246\pi\) | |||||||
\(678\) | 1.71995 | − | 11.9625i | 0.0660543 | − | 0.459418i | ||||
\(679\) | −15.8953 | + | 27.9933i | −0.610005 | + | 1.07428i | ||||
\(680\) | 0.672510 | + | 0.432196i | 0.0257896 | + | 0.0165740i | ||||
\(681\) | −5.53564 | + | 4.79666i | −0.212126 | + | 0.183808i | ||||
\(682\) | −6.15232 | − | 13.4717i | −0.235585 | − | 0.515858i | ||||
\(683\) | 26.0968 | − | 16.7714i | 0.998565 | − | 0.641739i | 0.0641560 | − | 0.997940i | \(-0.479564\pi\) |
0.934409 | + | 0.356201i | \(0.115928\pi\) | |||||||
\(684\) | 1.61920 | + | 0.475439i | 0.0619115 | + | 0.0181789i | ||||
\(685\) | −5.43135 | − | 4.70629i | −0.207521 | − | 0.179818i | ||||
\(686\) | 12.4266 | + | 13.7324i | 0.474449 | + | 0.524307i | ||||
\(687\) | −0.0891846 | − | 0.0407293i | −0.00340261 | − | 0.00155392i | ||||
\(688\) | −11.3610 | + | 1.63346i | −0.433132 | + | 0.0622750i | ||||
\(689\) | −8.93210 | −0.340286 | ||||||||
\(690\) | −7.65874 | + | 5.98475i | −0.291563 | + | 0.227836i | ||||
\(691\) | − | 30.9880i | − | 1.17884i | −0.807827 | − | 0.589420i | \(-0.799356\pi\) | ||
0.807827 | − | 0.589420i | \(-0.200644\pi\) | |||||||
\(692\) | −10.5419 | + | 1.51570i | −0.400743 | + | 0.0576182i | ||||
\(693\) | −5.81196 | − | 6.00850i | −0.220778 | − | 0.228244i | ||||
\(694\) | −16.6080 | + | 4.87655i | −0.630432 | + | 0.185111i | ||||
\(695\) | 15.0118 | + | 13.0078i | 0.569430 | + | 0.493414i | ||||
\(696\) | −0.363114 | + | 1.23665i | −0.0137638 | + | 0.0468751i | ||||
\(697\) | 2.29706 | + | 3.57429i | 0.0870073 | + | 0.135386i | ||||
\(698\) | −12.0534 | + | 5.50462i | −0.456229 | + | 0.208353i | ||||
\(699\) | 16.7975 | − | 14.5551i | 0.635340 | − | 0.550525i | ||||
\(700\) | 1.38340 | + | 1.91351i | 0.0522876 | + | 0.0723239i | ||||
\(701\) | 37.6105 | + | 5.40758i | 1.42053 | + | 0.204241i | 0.809386 | − | 0.587277i | \(-0.199800\pi\) |
0.611145 | + | 0.791519i | \(0.290709\pi\) | |||||||
\(702\) | −0.189180 | + | 1.31577i | −0.00714012 | + | 0.0496606i | ||||
\(703\) | −6.51478 | + | 10.1372i | −0.245709 | + | 0.382331i | ||||
\(704\) | −2.38786 | + | 2.06909i | −0.0899958 | + | 0.0779818i | ||||
\(705\) | −7.53068 | − | 16.4899i | −0.283622 | − | 0.621045i | ||||
\(706\) | 12.3005 | + | 19.1400i | 0.462937 | + | 0.720344i | ||||
\(707\) | −28.9598 | + | 37.3741i | −1.08915 | + | 1.40560i | ||||
\(708\) | 3.00128 | − | 3.46366i | 0.112795 | − | 0.130172i | ||||
\(709\) | 7.35810 | + | 25.0594i | 0.276339 | + | 0.941125i | 0.974350 | + | 0.225038i | \(0.0722505\pi\) |
−0.698011 | + | 0.716087i | \(0.745931\pi\) | |||||||
\(710\) | −2.78205 | + | 6.09185i | −0.104409 | + | 0.228623i | ||||
\(711\) | 12.1938 | − | 1.75321i | 0.457304 | − | 0.0657505i | ||||
\(712\) | −7.33069 | −0.274729 | ||||||||
\(713\) | −11.1797 | − | 19.5026i | −0.418684 | − | 0.730377i | ||||
\(714\) | −0.380903 | + | 0.971592i | −0.0142549 | + | 0.0363609i | ||||
\(715\) | 1.21142 | + | 8.42563i | 0.0453047 | + | 0.315101i | ||||
\(716\) | 1.82673 | − | 3.99998i | 0.0682680 | − | 0.149486i | ||||
\(717\) | −3.24357 | − | 11.0466i | −0.121133 | − | 0.412542i | ||||
\(718\) | 23.9577 | + | 20.7595i | 0.894095 | + | 0.774737i | ||||
\(719\) | 0.311066 | − | 1.05939i | 0.0116008 | − | 0.0395087i | −0.953489 | − | 0.301427i | \(-0.902537\pi\) |
0.965090 | + | 0.261918i | \(0.0843552\pi\) | |||||||
\(720\) | −1.70498 | + | 1.09572i | −0.0635407 | + | 0.0408351i | ||||
\(721\) | −0.765035 | − | 13.9532i | −0.0284914 | − | 0.519645i | ||||
\(722\) | 10.5774 | + | 12.2070i | 0.393651 | + | 0.454297i | ||||
\(723\) | 4.19213 | − | 6.52309i | 0.155907 | − | 0.242596i | ||||
\(724\) | −0.199089 | + | 1.38470i | −0.00739909 | + | 0.0514618i | ||||
\(725\) | 0.163697 | − | 1.13854i | 0.00607956 | − | 0.0422843i | ||||
\(726\) | 0.549834 | − | 0.855558i | 0.0204063 | − | 0.0317527i | ||||
\(727\) | −8.91459 | − | 10.2880i | −0.330624 | − | 0.381560i | 0.565961 | − | 0.824432i | \(-0.308505\pi\) |
−0.896585 | + | 0.442872i | \(0.853960\pi\) | |||||||
\(728\) | −3.51173 | + | 0.192543i | −0.130153 | + | 0.00713612i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −3.29191 | + | 11.2112i | −0.121839 | + | 0.414946i | ||||
\(731\) | 3.42150 | + | 2.96475i | 0.126549 | + | 0.109655i | ||||
\(732\) | 2.95795 | + | 10.0739i | 0.109329 | + | 0.372341i | ||||
\(733\) | 21.8718 | − | 47.8926i | 0.807854 | − | 1.76895i | 0.191486 | − | 0.981495i | \(-0.438669\pi\) |
0.616368 | − | 0.787459i | \(-0.288604\pi\) | |||||||
\(734\) | −3.08684 | − | 21.4694i | −0.113937 | − | 0.792451i | ||||
\(735\) | 9.64180 | − | 10.4070i | 0.355643 | − | 0.383868i | ||||
\(736\) | −3.32019 | + | 3.46068i | −0.122384 | + | 0.127562i | ||||
\(737\) | 41.5084 | 1.52898 | ||||||||
\(738\) | −10.6620 | + | 1.53297i | −0.392474 | + | 0.0564293i | ||||
\(739\) | −13.4379 | + | 29.4250i | −0.494322 | + | 1.08241i | 0.483951 | + | 0.875095i | \(0.339201\pi\) |
−0.978273 | + | 0.207320i | \(0.933526\pi\) | |||||||
\(740\) | −4.07719 | − | 13.8856i | −0.149881 | − | 0.510446i | ||||
\(741\) | 1.46903 | − | 1.69535i | 0.0539662 | − | 0.0622803i | ||||
\(742\) | 10.8890 | − | 14.0528i | 0.399748 | − | 0.515894i | ||||
\(743\) | 2.39026 | + | 3.71932i | 0.0876903 | + | 0.136449i | 0.882328 | − | 0.470636i | \(-0.155975\pi\) |
−0.794637 | + | 0.607084i | \(0.792339\pi\) | |||||||
\(744\) | −1.94719 | − | 4.26375i | −0.0713875 | − | 0.156317i | ||||
\(745\) | 1.45596 | − | 1.26160i | 0.0533422 | − | 0.0462213i | ||||
\(746\) | −7.07511 | + | 11.0091i | −0.259038 | + | 0.403071i | ||||
\(747\) | 0.895867 | − | 6.23089i | 0.0327781 | − | 0.227976i | ||||
\(748\) | 1.23358 | + | 0.177362i | 0.0451042 | + | 0.00648501i | ||||
\(749\) | −11.6014 | + | 8.38743i | −0.423908 | + | 0.306470i | ||||
\(750\) | 9.02538 | − | 7.82053i | 0.329560 | − | 0.285565i | ||||
\(751\) | −31.3250 | + | 14.3057i | −1.14307 | + | 0.522021i | −0.894710 | − | 0.446647i | \(-0.852618\pi\) |
−0.248357 | + | 0.968669i | \(0.579891\pi\) | |||||||
\(752\) | −4.83581 | − | 7.52467i | −0.176344 | − | 0.274397i | ||||
\(753\) | −1.01766 | + | 3.46583i | −0.0370855 | + | 0.126302i | ||||
\(754\) | 1.29481 | + | 1.12196i | 0.0471543 | + | 0.0408595i | ||||
\(755\) | 16.5009 | − | 4.84510i | 0.600529 | − | 0.176331i | ||||
\(756\) | −1.83947 | − | 1.90167i | −0.0669008 | − | 0.0691632i | ||||
\(757\) | 53.3474 | − | 7.67020i | 1.93895 | − | 0.278778i | 0.940764 | − | 0.339063i | \(-0.110110\pi\) |
0.998181 | + | 0.0602844i | \(0.0192008\pi\) | |||||||
\(758\) | 0.100719i | 0.00365827i | ||||||||
\(759\) | −6.98495 | + | 13.4469i | −0.253538 | + | 0.488092i | ||||
\(760\) | 3.42018 | 0.124063 | ||||||||
\(761\) | 12.0544 | − | 1.73316i | 0.436972 | − | 0.0628271i | 0.0796815 | − | 0.996820i | \(-0.474610\pi\) |
0.357291 | + | 0.933993i | \(0.383701\pi\) | |||||||
\(762\) | 11.7089 | + | 5.34726i | 0.424168 | + | 0.193711i | ||||
\(763\) | 3.65463 | − | 41.4104i | 0.132307 | − | 1.49916i | ||||
\(764\) | −9.63403 | − | 8.34793i | −0.348547 | − | 0.302018i | ||||
\(765\) | 0.767032 | + | 0.225221i | 0.0277321 | + | 0.00814288i | ||||
\(766\) | −5.33679 | + | 3.42974i | −0.192826 | + | 0.123922i | ||||
\(767\) | −2.53083 | − | 5.54175i | −0.0913831 | − | 0.200101i | ||||
\(768\) | −0.755750 | + | 0.654861i | −0.0272708 | + | 0.0236303i | ||||
\(769\) | 39.0754 | + | 25.1123i | 1.40910 | + | 0.905571i | 0.999976 | − | 0.00690925i | \(-0.00219930\pi\) |
0.409120 | + | 0.912480i | \(0.365836\pi\) | |||||||
\(770\) | −14.7328 | − | 8.36564i | −0.530933 | − | 0.301477i | ||||
\(771\) | −1.77484 | + | 12.3443i | −0.0639192 | + | 0.444568i | ||||
\(772\) | −7.14285 | − | 4.59043i | −0.257077 | − | 0.165213i | ||||
\(773\) | 0.212027 | + | 0.244692i | 0.00762609 | + | 0.00880098i | 0.759550 | − | 0.650449i | \(-0.225419\pi\) |
−0.751924 | + | 0.659250i | \(0.770874\pi\) | |||||||
\(774\) | −10.4406 | + | 4.76804i | −0.375278 | + | 0.171384i | ||||
\(775\) | 2.26163 | + | 3.51916i | 0.0812400 | + | 0.126412i | ||||
\(776\) | 11.6743 | + | 3.42790i | 0.419084 | + | 0.123054i | ||||
\(777\) | 16.7295 | − | 8.77713i | 0.600167 | − | 0.314878i | ||||
\(778\) | 0.434272 | + | 1.47899i | 0.0155694 | + | 0.0530245i | ||||
\(779\) | 16.5351 | + | 7.55132i | 0.592431 | + | 0.270554i | ||||
\(780\) | 0.383412 | + | 2.66669i | 0.0137283 | + | 0.0954827i | ||||
\(781\) | 10.4405i | 0.373592i | ||||||||
\(782\) | 1.88924 | + | 0.0958376i | 0.0675590 | + | 0.00342714i | ||||
\(783\) | 1.28886i | 0.0460601i | ||||||||
\(784\) | 3.97817 | − | 5.75970i | 0.142078 | − | 0.205704i | ||||
\(785\) | −9.57864 | + | 20.9743i | −0.341876 | + | 0.748605i | ||||
\(786\) | 16.6084 | − | 4.87666i | 0.592401 | − | 0.173945i | ||||
\(787\) | −1.70843 | + | 1.97163i | −0.0608988 | + | 0.0702810i | −0.785382 | − | 0.619012i | \(-0.787533\pi\) |
0.724483 | + | 0.689293i | \(0.242079\pi\) | |||||||
\(788\) | 9.68998 | + | 2.84523i | 0.345191 | + | 0.101357i | ||||
\(789\) | −22.9166 | + | 14.7276i | −0.815854 | + | 0.524317i | ||||
\(790\) | 22.7112 | − | 10.3719i | 0.808029 | − | 0.369014i | ||||
\(791\) | 30.1409 | − | 10.6746i | 1.07169 | − | 0.379545i | ||||
\(792\) | −1.70820 | + | 2.65801i | −0.0606983 | + | 0.0944484i | ||||
\(793\) | 13.8145 | + | 1.98622i | 0.490567 | + | 0.0705329i | ||||
\(794\) | 4.58463 | + | 0.659171i | 0.162703 | + | 0.0233931i | ||||
\(795\) | −11.4564 | − | 7.36258i | −0.406316 | − | 0.261124i | ||||
\(796\) | −6.65231 | − | 7.67718i | −0.235785 | − | 0.272110i | ||||
\(797\) | 4.74132 | + | 10.3820i | 0.167946 | + | 0.367751i | 0.974827 | − | 0.222964i | \(-0.0715732\pi\) |
−0.806881 | + | 0.590715i | \(0.798846\pi\) | |||||||
\(798\) | 0.876408 | + | 4.37799i | 0.0310245 | + | 0.154979i | ||||
\(799\) | −0.993981 | + | 3.38519i | −0.0351645 | + | 0.119759i | ||||
\(800\) | 0.584433 | − | 0.674471i | 0.0206628 | − | 0.0238462i | ||||
\(801\) | −7.03374 | + | 2.06529i | −0.248525 | + | 0.0729736i | ||||
\(802\) | 5.00543 | + | 2.28590i | 0.176748 | + | 0.0807180i | ||||
\(803\) | 2.59239 | + | 18.0305i | 0.0914835 | + | 0.636281i | ||||
\(804\) | 13.1373 | 0.463316 | ||||||||
\(805\) | −23.4356 | − | 10.5871i | −0.825997 | − | 0.373146i | ||||
\(806\) | −6.23089 | −0.219474 | ||||||||
\(807\) | 2.41597 | + | 16.8034i | 0.0850462 | + | 0.591509i | ||||
\(808\) | 16.2556 | + | 7.42370i | 0.571871 | + | 0.261165i | ||||
\(809\) | −19.9169 | + | 5.84814i | −0.700242 | + | 0.205610i | −0.612427 | − | 0.790527i | \(-0.709807\pi\) |
−0.0878149 | + | 0.996137i | \(0.527988\pi\) | |||||||
\(810\) | −1.32721 | + | 1.53168i | −0.0466335 | + | 0.0538179i | ||||
\(811\) | −13.7346 | + | 46.7757i | −0.482287 | + | 1.64252i | 0.255003 | + | 0.966940i | \(0.417924\pi\) |
−0.737290 | + | 0.675577i | \(0.763895\pi\) | |||||||
\(812\) | −3.34366 | + | 0.669351i | −0.117340 | + | 0.0234896i | ||||
\(813\) | 10.3216 | + | 22.6011i | 0.361993 | + | 0.792654i | ||||
\(814\) | −14.7745 | − | 17.0507i | −0.517845 | − | 0.597625i | ||||
\(815\) | −25.6698 | − | 16.4970i | −0.899175 | − | 0.577865i | ||||
\(816\) | 0.390425 | + | 0.0561346i | 0.0136676 | + | 0.00196511i | ||||
\(817\) | 19.1722 | + | 2.75655i | 0.670751 | + | 0.0964395i | ||||
\(818\) | 12.6433 | − | 19.6733i | 0.442062 | − | 0.687862i | ||||
\(819\) | −3.31523 | + | 1.17411i | −0.115844 | + | 0.0410268i | ||||
\(820\) | −19.8582 | + | 9.06893i | −0.693478 | + | 0.316701i | ||||
\(821\) | 22.1436 | − | 14.2308i | 0.772815 | − | 0.496658i | −0.0938268 | − | 0.995589i | \(-0.529910\pi\) |
0.866642 | + | 0.498930i | \(0.166274\pi\) | |||||||
\(822\) | −3.40236 | − | 0.999023i | −0.118671 | − | 0.0348449i | ||||
\(823\) | −28.8277 | + | 33.2689i | −1.00487 | + | 1.15968i | −0.0177271 | + | 0.999843i | \(0.505643\pi\) |
−0.987143 | + | 0.159839i | \(0.948902\pi\) | |||||||
\(824\) | −5.06780 | + | 1.48804i | −0.176545 | + | 0.0518383i | ||||
\(825\) | 1.17138 | − | 2.56497i | 0.0407823 | − | 0.0893007i | ||||
\(826\) | 11.8041 | + | 2.77413i | 0.410717 | + | 0.0965243i | ||||
\(827\) | − | 28.2279i | − | 0.981580i | −0.871278 | − | 0.490790i | \(-0.836708\pi\) | ||
0.871278 | − | 0.490790i | \(-0.163292\pi\) | |||||||
\(828\) | −2.21072 | + | 4.25591i | −0.0768277 | + | 0.147903i | ||||
\(829\) | − | 8.83288i | − | 0.306778i | −0.988166 | − | 0.153389i | \(-0.950981\pi\) | ||
0.988166 | − | 0.153389i | \(-0.0490188\pi\) | |||||||
\(830\) | −1.81566 | − | 12.6282i | −0.0630225 | − | 0.438331i | ||||
\(831\) | 15.2008 | + | 6.94196i | 0.527309 | + | 0.240814i | ||||
\(832\) | 0.374508 | + | 1.27546i | 0.0129837 | + | 0.0442185i | ||||
\(833\) | −2.74453 | + | 0.301864i | −0.0950922 | + | 0.0104590i | ||||
\(834\) | 9.40385 | + | 2.76122i | 0.325629 | + | 0.0956132i | ||||
\(835\) | 19.1846 | + | 29.8518i | 0.663909 | + | 1.03306i | ||||
\(836\) | 4.85014 | − | 2.21498i | 0.167746 | − | 0.0766068i | ||||
\(837\) | −3.06955 | − | 3.54245i | −0.106099 | − | 0.122445i | ||||
\(838\) | 4.82496 | + | 3.10081i | 0.166675 | + | 0.107116i | ||||
\(839\) | 5.55276 | − | 38.6203i | 0.191703 | − | 1.33332i | −0.635798 | − | 0.771856i | \(-0.719329\pi\) |
0.827500 | − | 0.561465i | \(-0.189762\pi\) | |||||||
\(840\) | −4.66289 | − | 2.64770i | −0.160885 | − | 0.0913544i | ||||
\(841\) | −22.9989 | − | 14.7805i | −0.793065 | − | 0.509672i | ||||
\(842\) | 5.03077 | − | 4.35919i | 0.173372 | − | 0.150228i | ||||
\(843\) | −7.06347 | − | 15.4668i | −0.243279 | − | 0.532706i | ||||
\(844\) | −7.73121 | + | 4.96855i | −0.266119 | + | 0.171024i | ||||
\(845\) | −21.8437 | − | 6.41390i | −0.751448 | − | 0.220645i | ||||
\(846\) | −6.75987 | − | 5.85746i | −0.232409 | − | 0.201384i | ||||
\(847\) | 2.68032 | + | 0.236549i | 0.0920969 | + | 0.00812793i | ||||
\(848\) | −6.11217 | − | 2.79133i | −0.209893 | − | 0.0958548i | ||||
\(849\) | −5.52392 | + | 0.794220i | −0.189581 | + | 0.0272576i | ||||
\(850\) | −0.352019 | −0.0120742 | ||||||||
\(851\) | −24.7112 | − | 23.7081i | −0.847090 | − | 0.812702i | ||||
\(852\) | 3.30440i | 0.113207i | ||||||||
\(853\) | 37.6765 | − | 5.41707i | 1.29002 | − | 0.185477i | 0.537060 | − | 0.843544i | \(-0.319535\pi\) |
0.752959 | + | 0.658067i | \(0.228626\pi\) | |||||||
\(854\) | −19.9660 | + | 19.3128i | −0.683221 | + | 0.660872i | ||||
\(855\) | 3.28164 | − | 0.963577i | 0.112230 | − | 0.0329536i | ||||
\(856\) | 4.08926 | + | 3.54337i | 0.139768 | + | 0.121110i | ||||
\(857\) | −8.41892 | + | 28.6722i | −0.287585 | + | 0.979424i | 0.681319 | + | 0.731986i | \(0.261407\pi\) |
−0.968904 | + | 0.247437i | \(0.920412\pi\) | |||||||
\(858\) | 2.27072 | + | 3.53331i | 0.0775210 | + | 0.120625i | ||||
\(859\) | 7.96482 | − | 3.63741i | 0.271756 | − | 0.124107i | −0.274876 | − | 0.961480i | \(-0.588637\pi\) |
0.546632 | + | 0.837373i | \(0.315910\pi\) | |||||||
\(860\) | −17.5803 | + | 15.2334i | −0.599484 | + | 0.519456i | ||||
\(861\) | −16.6972 | − | 23.0955i | −0.569040 | − | 0.787093i | ||||
\(862\) | −8.99466 | − | 1.29324i | −0.306359 | − | 0.0440478i | ||||
\(863\) | −2.31676 | + | 16.1134i | −0.0788635 | + | 0.548507i | 0.911637 | + | 0.410997i | \(0.134819\pi\) |
−0.990500 | + | 0.137511i | \(0.956090\pi\) | |||||||
\(864\) | −0.540641 | + | 0.841254i | −0.0183930 | + | 0.0286200i | ||||
\(865\) | −16.3129 | + | 14.1352i | −0.554656 | + | 0.480612i | ||||
\(866\) | 5.41557 | + | 11.8584i | 0.184029 | + | 0.402967i | ||||
\(867\) | 9.10678 | + | 14.1704i | 0.309282 | + | 0.481253i | ||||
\(868\) | 7.59599 | − | 9.80301i | 0.257825 | − | 0.332736i | ||||
\(869\) | 25.4896 | − | 29.4165i | 0.864675 | − | 0.997888i | ||||
\(870\) | 0.735925 | + | 2.50633i | 0.0249502 | + | 0.0849726i | ||||
\(871\) | 7.25457 | − | 15.8853i | 0.245812 | − | 0.538253i | ||||
\(872\) | −15.5526 | + | 2.23612i | −0.526676 | + | 0.0757246i | ||||
\(873\) | 12.1672 | 0.411797 | ||||||||
\(874\) | 7.02139 | − | 4.02497i | 0.237502 | − | 0.136147i | ||||
\(875\) | 29.4165 | + | 11.5324i | 0.994459 | + | 0.389867i | ||||
\(876\) | 0.820484 | + | 5.70659i | 0.0277216 | + | 0.192808i | ||||
\(877\) | 21.0146 | − | 46.0155i | 0.709612 | − | 1.55383i | −0.118303 | − | 0.992978i | \(-0.537745\pi\) |
0.827914 | − | 0.560855i | \(-0.189527\pi\) | |||||||
\(878\) | −5.78489 | − | 19.7015i | −0.195231 | − | 0.664895i | ||||
\(879\) | 2.28320 | + | 1.97840i | 0.0770104 | + | 0.0667299i | ||||
\(880\) | −1.80409 | + | 6.14417i | −0.0608159 | + | 0.207120i | ||||
\(881\) | 11.4235 | − | 7.34141i | 0.384866 | − | 0.247338i | −0.333873 | − | 0.942618i | \(-0.608356\pi\) |
0.718739 | + | 0.695280i | \(0.244719\pi\) | |||||||
\(882\) | 2.19433 | − | 6.64717i | 0.0738871 | − | 0.223822i | ||||
\(883\) | 30.6953 | + | 35.4243i | 1.03298 | + | 1.19212i | 0.981106 | + | 0.193468i | \(0.0619737\pi\) |
0.0518732 | + | 0.998654i | \(0.483481\pi\) | |||||||
\(884\) | 0.283474 | − | 0.441094i | 0.00953427 | − | 0.0148356i | ||||
\(885\) | 1.32190 | − | 9.19402i | 0.0444352 | − | 0.309054i | ||||
\(886\) | −1.57478 | + | 10.9529i | −0.0529059 | + | 0.367969i | ||||
\(887\) | −25.5307 | + | 39.7266i | −0.857238 | + | 1.33389i | 0.0841122 | + | 0.996456i | \(0.473195\pi\) |
−0.941350 | + | 0.337432i | \(0.890442\pi\) | |||||||
\(888\) | −4.67608 | − | 5.39648i | −0.156919 | − | 0.181094i | ||||
\(889\) | 1.86446 | + | 34.0053i | 0.0625320 | + | 1.14050i | ||||
\(890\) | −12.4986 | + | 8.03239i | −0.418956 | + | 0.269246i | ||||
\(891\) | −0.890159 | + | 3.03160i | −0.0298214 | + | 0.101563i | ||||
\(892\) | 2.16298 | + | 1.87423i | 0.0724218 | + | 0.0627538i | ||||
\(893\) | 4.25261 | + | 14.4831i | 0.142308 | + | 0.484657i | ||||
\(894\) | 0.394877 | − | 0.864660i | 0.0132067 | − | 0.0289186i | ||||
\(895\) | −1.26833 | − | 8.82145i | −0.0423957 | − | 0.294868i | ||||
\(896\) | −2.46322 | − | 0.965681i | −0.0822905 | − | 0.0322611i | ||||
\(897\) | 3.92536 | + | 5.02331i | 0.131064 | + | 0.167723i | ||||
\(898\) | −25.4819 | −0.850341 | ||||||||
\(899\) | −5.97983 | + | 0.859769i | −0.199438 | + | 0.0286749i | ||||
\(900\) | 0.370739 | − | 0.811804i | 0.0123580 | − | 0.0270601i | ||||
\(901\) | 0.746702 | + | 2.54303i | 0.0248763 | + | 0.0847207i | ||||
\(902\) | −22.2875 | + | 25.7212i | −0.742094 | + | 0.856422i | ||||
\(903\) | −24.0044 | − | 18.6001i | −0.798816 | − | 0.618973i | ||||
\(904\) | −6.53393 | − | 10.1670i | −0.217315 | − | 0.338149i | ||||
\(905\) | 1.17780 | + | 2.57902i | 0.0391513 | + | 0.0857294i | ||||
\(906\) | 6.41287 | − | 5.55679i | 0.213053 | − | 0.184612i | ||||
\(907\) | 14.2967 | − | 22.2462i | 0.474716 | − | 0.738672i | −0.518485 | − | 0.855087i | \(-0.673504\pi\) |
0.993201 | + | 0.116415i | \(0.0371401\pi\) | |||||||
\(908\) | −1.04241 | + | 7.25015i | −0.0345937 | + | 0.240605i | ||||
\(909\) | 17.6887 | + | 2.54325i | 0.586696 | + | 0.0843541i | ||||
\(910\) | −5.77644 | + | 4.17616i | −0.191487 | + | 0.138438i | ||||
\(911\) | 10.2811 | − | 8.90865i | 0.340629 | − | 0.295157i | −0.467701 | − | 0.883887i | \(-0.654917\pi\) |
0.808330 | + | 0.588730i | \(0.200372\pi\) | |||||||
\(912\) | 1.53505 | − | 0.701036i | 0.0508307 | − | 0.0232136i | ||||
\(913\) | −10.7531 | − | 16.7321i | −0.355875 | − | 0.553752i | ||||
\(914\) | −5.46496 | + | 18.6120i | −0.180765 | + | 0.615629i | ||||
\(915\) | 16.0814 | + | 13.9346i | 0.531634 | + | 0.460663i | ||||
\(916\) | −0.0940732 | + | 0.0276224i | −0.00310827 | + | 0.000912670i | ||||
\(917\) | 31.8403 | + | 32.9171i | 1.05146 | + | 1.08702i | ||||
\(918\) | 0.390425 | − | 0.0561346i | 0.0128859 | − | 0.00185272i | ||||
\(919\) | − | 2.96298i | − | 0.0977398i | −0.998805 | − | 0.0488699i | \(-0.984438\pi\) | ||
0.998805 | − | 0.0488699i | \(-0.0155620\pi\) | |||||||
\(920\) | −1.86891 | + | 9.53838i | −0.0616161 | + | 0.314471i | ||||
\(921\) | 31.9400 | 1.05246 | ||||||||
\(922\) | 18.5876 | − | 2.67249i | 0.612149 | − | 0.0880137i | ||||
\(923\) | 3.99560 | + | 1.82473i | 0.131517 | + | 0.0600617i | ||||
\(924\) | −8.32712 | − | 0.734902i | −0.273942 | − | 0.0241765i | ||||
\(925\) | 4.81611 | + | 4.17318i | 0.158353 | + | 0.137213i | ||||
\(926\) | 4.18402 | + | 1.22854i | 0.137496 | + | 0.0403723i | ||||
\(927\) | −4.44329 | + | 2.85553i | −0.145937 | + | 0.0937878i | ||||
\(928\) | 0.535411 | + | 1.17239i | 0.0175757 | + | 0.0384855i | ||||
\(929\) | 31.0993 | − | 26.9477i | 1.02033 | − | 0.884125i | 0.0270278 | − | 0.999635i | \(-0.491396\pi\) |
0.993306 | + | 0.115510i | \(0.0368503\pi\) | |||||||
\(930\) | −7.99180 | − | 5.13602i | −0.262061 | − | 0.168417i | ||||
\(931\) | −9.17983 | + | 7.43471i | −0.300857 | + | 0.243663i | ||||
\(932\) | 3.16313 | − | 22.0001i | 0.103612 | − | 0.720636i | ||||
\(933\) | −9.29717 | − | 5.97493i | −0.304376 | − | 0.195610i | ||||
\(934\) | 9.65306 | + | 11.1402i | 0.315858 | + | 0.364519i | ||||
\(935\) | 2.29757 | − | 1.04926i | 0.0751385 | − | 0.0343146i | ||||
\(936\) | 0.718675 | + | 1.11828i | 0.0234906 | + | 0.0365521i | ||||
\(937\) | 14.0908 | + | 4.13742i | 0.460325 | + | 0.135164i | 0.503669 | − | 0.863896i | \(-0.331983\pi\) |
−0.0433440 | + | 0.999060i | \(0.513801\pi\) | |||||||
\(938\) | 16.1482 | + | 30.7791i | 0.527259 | + | 1.00497i | ||||
\(939\) | 1.14174 | + | 3.88842i | 0.0372594 | + | 0.126894i | ||||
\(940\) | −16.4899 | − | 7.53068i | −0.537841 | − | 0.245624i | ||||
\(941\) | 1.30684 | + | 9.08928i | 0.0426018 | + | 0.296302i | 0.999972 | + | 0.00743926i | \(0.00236801\pi\) |
−0.957371 | + | 0.288863i | \(0.906723\pi\) | |||||||
\(942\) | 11.3771i | 0.370685i | ||||||||
\(943\) | −30.0949 | + | 41.9876i | −0.980023 | + | 1.36730i | ||||
\(944\) | − | 4.58308i | − | 0.149166i | ||||||
\(945\) | −5.21995 | − | 1.22676i | −0.169805 | − | 0.0399066i | ||||
\(946\) | −15.0650 | + | 32.9878i | −0.489807 | + | 1.07253i | ||||
\(947\) | −3.09959 | + | 0.910121i | −0.100723 | + | 0.0295750i | −0.331706 | − | 0.943383i | \(-0.607624\pi\) |
0.230983 | + | 0.972958i | \(0.425806\pi\) | |||||||
\(948\) | 8.06738 | − | 9.31025i | 0.262016 | − | 0.302383i | ||||
\(949\) | 7.35335 | + | 2.15914i | 0.238700 | + | 0.0700886i | ||||
\(950\) | −1.26698 | + | 0.814240i | −0.0411063 | + | 0.0264174i | ||||
\(951\) | −18.8967 | + | 8.62984i | −0.612768 | + | 0.279842i | ||||
\(952\) | 0.348391 | + | 0.983719i | 0.0112914 | + | 0.0318825i | ||||
\(953\) | −0.459030 | + | 0.714265i | −0.0148694 | + | 0.0231373i | −0.848609 | − | 0.529021i | \(-0.822559\pi\) |
0.833739 | + | 0.552158i | \(0.186196\pi\) | |||||||
\(954\) | −6.65099 | − | 0.956269i | −0.215334 | − | 0.0309603i | ||||
\(955\) | −25.5728 | − | 3.67681i | −0.827516 | − | 0.118979i | ||||
\(956\) | −9.68530 | − | 6.22437i | −0.313245 | − | 0.201310i | ||||
\(957\) | 2.66677 | + | 3.07761i | 0.0862043 | + | 0.0994850i | ||||
\(958\) | 16.1017 | + | 35.2578i | 0.520222 | + | 1.13913i | ||||
\(959\) | −1.84156 | − | 9.19931i | −0.0594672 | − | 0.297061i | ||||
\(960\) | −0.570990 | + | 1.94461i | −0.0184286 | + | 0.0627621i | ||||
\(961\) | −5.91264 | + | 6.82355i | −0.190730 | + | 0.220114i | ||||
\(962\) | −9.10749 | + | 2.67420i | −0.293637 | + | 0.0862196i | ||||
\(963\) | 4.92190 | + | 2.24776i | 0.158606 | + | 0.0724329i | ||||
\(964\) | −1.10351 | − | 7.67509i | −0.0355417 | − | 0.247198i | ||||
\(965\) | −17.2082 | −0.553952 | ||||||||
\(966\) | −12.6885 | + | 0.0518828i | −0.408245 | + | 0.00166930i | ||||
\(967\) | 9.87934 | 0.317698 | 0.158849 | − | 0.987303i | \(-0.449222\pi\) | ||||
0.158849 | + | 0.987303i | \(0.449222\pi\) | |||||||
\(968\) | −0.144735 | − | 1.00665i | −0.00465195 | − | 0.0323550i | ||||
\(969\) | −0.605486 | − | 0.276516i | −0.0194510 | − | 0.00888298i | ||||
\(970\) | 23.6605 | − | 6.94734i | 0.759692 | − | 0.223066i | ||||
\(971\) | 14.8071 | − | 17.0883i | 0.475183 | − | 0.548390i | −0.466663 | − | 0.884435i | \(-0.654544\pi\) |
0.941846 | + | 0.336045i | \(0.109089\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | 5.08993 | + | 25.4262i | 0.163176 | + | 0.815125i | ||||
\(974\) | −4.85836 | − | 10.6383i | −0.155672 | − | 0.340874i | ||||
\(975\) | −0.776888 | − | 0.896577i | −0.0248803 | − | 0.0287134i | ||||
\(976\) | 8.83245 | + | 5.67627i | 0.282720 | + | 0.181693i | ||||
\(977\) | 59.4596 | + | 8.54900i | 1.90228 | + | 0.273507i | 0.990537 | − | 0.137249i | \(-0.0438260\pi\) |
0.911745 | + | 0.410756i | \(0.134735\pi\) | |||||||
\(978\) | −14.9026 | − | 2.14267i | −0.476532 | − | 0.0685150i | ||||
\(979\) | −12.5223 | + | 19.4851i | −0.400214 | + | 0.622746i | ||||
\(980\) | 0.471662 | − | 14.1791i | 0.0150667 | − | 0.452935i | ||||
\(981\) | −14.2926 | + | 6.52720i | −0.456327 | + | 0.208398i | ||||
\(982\) | −17.6584 | + | 11.3484i | −0.563502 | + | 0.362141i | ||||
\(983\) | 18.8869 | + | 5.54570i | 0.602399 | + | 0.176880i | 0.568691 | − | 0.822551i | \(-0.307450\pi\) |
0.0337084 | + | 0.999432i | \(0.489268\pi\) | |||||||
\(984\) | −7.05394 | + | 8.14068i | −0.224871 | + | 0.259515i | ||||
\(985\) | 19.6388 | − | 5.76646i | 0.625743 | − | 0.183735i | ||||
\(986\) | 0.211188 | − | 0.462436i | 0.00672558 | − | 0.0147270i | ||||
\(987\) | 5.41415 | − | 23.0375i | 0.172334 | − | 0.733292i | ||||
\(988\) | − | 2.24327i | − | 0.0713680i | ||||||
\(989\) | −18.1640 | + | 51.9622i | −0.577582 | + | 1.65230i | ||||
\(990\) | 6.40356i | 0.203519i | ||||||||
\(991\) | 6.18807 | + | 43.0389i | 0.196570 | + | 1.36718i | 0.814143 | + | 0.580664i | \(0.197207\pi\) |
−0.617573 | + | 0.786514i | \(0.711884\pi\) | |||||||
\(992\) | −4.26375 | − | 1.94719i | −0.135374 | − | 0.0618234i | ||||
\(993\) | 0.303202 | + | 1.03261i | 0.00962183 | + | 0.0327689i | ||||
\(994\) | −7.74181 | + | 4.06174i | −0.245555 | + | 0.128831i | ||||
\(995\) | −19.7541 | − | 5.80032i | −0.626246 | − | 0.183883i | ||||
\(996\) | −3.40332 | − | 5.29566i | −0.107838 | − | 0.167799i | ||||
\(997\) | −44.3882 | + | 20.2714i | −1.40579 | + | 0.642002i | −0.966576 | − | 0.256381i | \(-0.917470\pi\) |
−0.439213 | + | 0.898383i | \(0.644743\pi\) | |||||||
\(998\) | −16.9902 | − | 19.6078i | −0.537817 | − | 0.620673i | ||||
\(999\) | −6.00703 | − | 3.86048i | −0.190054 | − | 0.122140i |
(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 | 966.2.s.a.181.2 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.181.15 | yes | 160 | |
23.15 | odd | 22 | inner | 966.2.s.a.475.15 | yes | 160 | |
161.153 | even | 22 | inner | 966.2.s.a.475.2 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.181.2 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.a.181.15 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.a.475.2 | yes | 160 | 161.153 | even | 22 | inner | |
966.2.s.a.475.15 | yes | 160 | 23.15 | odd | 22 | inner |