Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.30 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.29 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34335 | + | 0.442044i | 0.949894 | + | 0.312573i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.60919 | + | 1.18764i | 0.804597 | + | 0.593822i | ||||
\(5\) | − | 2.27075i | − | 1.01551i | −0.861501 | − | 0.507755i | \(-0.830475\pi\) | ||
0.861501 | − | 0.507755i | \(-0.169525\pi\) | |||||||
\(6\) | −1.34335 | − | 0.442044i | −0.548421 | − | 0.180464i | ||||
\(7\) | −4.97497 | −1.88036 | −0.940181 | − | 0.340674i | \(-0.889345\pi\) | ||||
−0.940181 | + | 0.340674i | \(0.889345\pi\) | |||||||
\(8\) | 1.63672 | + | 2.30676i | 0.578669 | + | 0.815562i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.00377 | − | 3.05042i | 0.317421 | − | 0.964627i | ||||
\(11\) | −2.26020 | −0.681476 | −0.340738 | − | 0.940158i | \(-0.610677\pi\) | ||||
−0.340738 | + | 0.940158i | \(0.610677\pi\) | |||||||
\(12\) | −1.60919 | − | 1.18764i | −0.464534 | − | 0.342843i | ||||
\(13\) | − | 6.26095i | − | 1.73648i | −0.496148 | − | 0.868238i | \(-0.665253\pi\) | ||
0.496148 | − | 0.868238i | \(-0.334747\pi\) | |||||||
\(14\) | −6.68314 | − | 2.19916i | −1.78614 | − | 0.587750i | ||||
\(15\) | 2.27075i | 0.586305i | ||||||||
\(16\) | 1.17901 | + | 3.82230i | 0.294752 | + | 0.955574i | ||||
\(17\) | −0.801988 | −0.194511 | −0.0972553 | − | 0.995259i | \(-0.531006\pi\) | ||||
−0.0972553 | + | 0.995259i | \(0.531006\pi\) | |||||||
\(18\) | 1.34335 | + | 0.442044i | 0.316631 | + | 0.104191i | ||||
\(19\) | − | 2.05056i | − | 0.470431i | −0.971943 | − | 0.235215i | \(-0.924420\pi\) | ||
0.971943 | − | 0.235215i | \(-0.0755795\pi\) | |||||||
\(20\) | 2.69684 | − | 3.65408i | 0.603032 | − | 0.817076i | ||||
\(21\) | 4.97497 | 1.08563 | ||||||||
\(22\) | −3.03625 | − | 0.999109i | −0.647330 | − | 0.213011i | ||||
\(23\) | − | 7.41079i | − | 1.54526i | −0.634858 | − | 0.772629i | \(-0.718941\pi\) | ||
0.634858 | − | 0.772629i | \(-0.281059\pi\) | |||||||
\(24\) | −1.63672 | − | 2.30676i | −0.334095 | − | 0.470865i | ||||
\(25\) | −0.156305 | −0.0312611 | ||||||||
\(26\) | 2.76762 | − | 8.41067i | 0.542775 | − | 1.64947i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −8.00569 | − | 5.90849i | −1.51293 | − | 1.11660i | ||||
\(29\) | −6.30284 | −1.17041 | −0.585204 | − | 0.810886i | \(-0.698986\pi\) | ||||
−0.585204 | + | 0.810886i | \(0.698986\pi\) | |||||||
\(30\) | −1.00377 | + | 3.05042i | −0.183263 | + | 0.556928i | ||||
\(31\) | 2.55441 | 0.458785 | 0.229392 | − | 0.973334i | \(-0.426326\pi\) | ||||
0.229392 | + | 0.973334i | \(0.426326\pi\) | |||||||
\(32\) | −0.105802 | + | 5.65586i | −0.0187033 | + | 0.999825i | ||||
\(33\) | 2.26020 | 0.393450 | ||||||||
\(34\) | −1.07735 | − | 0.354514i | −0.184764 | − | 0.0607987i | ||||
\(35\) | 11.2969i | 1.90953i | ||||||||
\(36\) | 1.60919 | + | 1.18764i | 0.268199 | + | 0.197941i | ||||
\(37\) | −10.5854 | −1.74023 | −0.870114 | − | 0.492850i | \(-0.835955\pi\) | ||||
−0.870114 | + | 0.492850i | \(0.835955\pi\) | |||||||
\(38\) | 0.906438 | − | 2.75462i | 0.147044 | − | 0.446859i | ||||
\(39\) | 6.26095i | 1.00256i | ||||||||
\(40\) | 5.23807 | − | 3.71659i | 0.828212 | − | 0.587644i | ||||
\(41\) | − | 0.0427625i | − | 0.00667839i | −0.999994 | − | 0.00333919i | \(-0.998937\pi\) | ||
0.999994 | − | 0.00333919i | \(-0.00106290\pi\) | |||||||
\(42\) | 6.68314 | + | 2.19916i | 1.03123 | + | 0.339338i | ||||
\(43\) | 0.122241 | 0.0186415 | 0.00932077 | − | 0.999957i | \(-0.497033\pi\) | ||||
0.00932077 | + | 0.999957i | \(0.497033\pi\) | |||||||
\(44\) | −3.63710 | − | 2.68431i | −0.548313 | − | 0.404675i | ||||
\(45\) | − | 2.27075i | − | 0.338503i | ||||||
\(46\) | 3.27590 | − | 9.95531i | 0.483005 | − | 1.46783i | ||||
\(47\) | 4.63996i | 0.676808i | 0.941001 | + | 0.338404i | \(0.109887\pi\) | ||||
−0.941001 | + | 0.338404i | \(0.890113\pi\) | |||||||
\(48\) | −1.17901 | − | 3.82230i | −0.170175 | − | 0.551701i | ||||
\(49\) | 17.7503 | 2.53576 | ||||||||
\(50\) | −0.209973 | − | 0.0690940i | −0.0296947 | − | 0.00977136i | ||||
\(51\) | 0.801988 | 0.112301 | ||||||||
\(52\) | 7.43578 | − | 10.0751i | 1.03116 | − | 1.39716i | ||||
\(53\) | − | 6.54272i | − | 0.898711i | −0.893353 | − | 0.449356i | \(-0.851654\pi\) | ||
0.893353 | − | 0.449356i | \(-0.148346\pi\) | |||||||
\(54\) | −1.34335 | − | 0.442044i | −0.182807 | − | 0.0601546i | ||||
\(55\) | 5.13235i | 0.692046i | ||||||||
\(56\) | −8.14265 | − | 11.4761i | −1.08811 | − | 1.53355i | ||||
\(57\) | 2.05056i | 0.271603i | ||||||||
\(58\) | −8.46694 | − | 2.78614i | −1.11176 | − | 0.365838i | ||||
\(59\) | 4.77379i | 0.621495i | 0.950492 | + | 0.310748i | \(0.100579\pi\) | ||||
−0.950492 | + | 0.310748i | \(0.899421\pi\) | |||||||
\(60\) | −2.69684 | + | 3.65408i | −0.348161 | + | 0.471739i | ||||
\(61\) | 10.5577i | 1.35177i | 0.737007 | + | 0.675885i | \(0.236238\pi\) | ||||
−0.737007 | + | 0.675885i | \(0.763762\pi\) | |||||||
\(62\) | 3.43147 | + | 1.12916i | 0.435797 | + | 0.143404i | ||||
\(63\) | −4.97497 | −0.626788 | ||||||||
\(64\) | −2.64227 | + | 7.55105i | −0.330284 | + | 0.943882i | ||||
\(65\) | −14.2171 | −1.76341 | ||||||||
\(66\) | 3.03625 | + | 0.999109i | 0.373736 | + | 0.122982i | ||||
\(67\) | −2.57302 | − | 7.77043i | −0.314345 | − | 0.949309i | ||||
\(68\) | −1.29055 | − | 0.952476i | −0.156503 | − | 0.115505i | ||||
\(69\) | 7.41079i | 0.892155i | ||||||||
\(70\) | −4.99374 | + | 15.1757i | −0.596866 | + | 1.81385i | ||||
\(71\) | − | 4.26791i | − | 0.506508i | −0.967400 | − | 0.253254i | \(-0.918499\pi\) | ||
0.967400 | − | 0.253254i | \(-0.0815008\pi\) | |||||||
\(72\) | 1.63672 | + | 2.30676i | 0.192890 | + | 0.271854i | ||||
\(73\) | 12.0198 | 1.40681 | 0.703405 | − | 0.710789i | \(-0.251662\pi\) | ||||
0.703405 | + | 0.710789i | \(0.251662\pi\) | |||||||
\(74\) | −14.2199 | − | 4.67921i | −1.65303 | − | 0.543948i | ||||
\(75\) | 0.156305 | 0.0180486 | ||||||||
\(76\) | 2.43533 | − | 3.29975i | 0.279352 | − | 0.378507i | ||||
\(77\) | 11.2444 | 1.28142 | ||||||||
\(78\) | −2.76762 | + | 8.41067i | −0.313371 | + | 0.952321i | ||||
\(79\) | 1.63399 | 0.183838 | 0.0919192 | − | 0.995766i | \(-0.470700\pi\) | ||||
0.0919192 | + | 0.995766i | \(0.470700\pi\) | |||||||
\(80\) | 8.67948 | − | 2.67723i | 0.970395 | − | 0.299323i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0.0189029 | − | 0.0574452i | 0.00208748 | − | 0.00634376i | ||||
\(83\) | − | 5.62827i | − | 0.617783i | −0.951097 | − | 0.308892i | \(-0.900042\pi\) | ||
0.951097 | − | 0.308892i | \(-0.0999580\pi\) | |||||||
\(84\) | 8.00569 | + | 5.90849i | 0.873493 | + | 0.644669i | ||||
\(85\) | 1.82111i | 0.197528i | ||||||||
\(86\) | 0.164212 | + | 0.0540358i | 0.0177075 | + | 0.00582684i | ||||
\(87\) | 6.30284 | 0.675736 | ||||||||
\(88\) | −3.69932 | − | 5.21374i | −0.394349 | − | 0.555786i | ||||
\(89\) | 11.1834 | 1.18544 | 0.592719 | − | 0.805409i | \(-0.298055\pi\) | ||||
0.592719 | + | 0.805409i | \(0.298055\pi\) | |||||||
\(90\) | 1.00377 | − | 3.05042i | 0.105807 | − | 0.321542i | ||||
\(91\) | 31.1481i | 3.26520i | ||||||||
\(92\) | 8.80138 | − | 11.9254i | 0.917607 | − | 1.24331i | ||||
\(93\) | −2.55441 | −0.264880 | ||||||||
\(94\) | −2.05107 | + | 6.23311i | −0.211552 | + | 0.642896i | ||||
\(95\) | −4.65631 | −0.477727 | ||||||||
\(96\) | 0.105802 | − | 5.65586i | 0.0107983 | − | 0.577249i | ||||
\(97\) | 14.5826i | 1.48063i | 0.672258 | + | 0.740317i | \(0.265325\pi\) | ||||
−0.672258 | + | 0.740317i | \(0.734675\pi\) | |||||||
\(98\) | 23.8450 | + | 7.84644i | 2.40871 | + | 0.792610i | ||||
\(99\) | −2.26020 | −0.227159 | ||||||||
\(100\) | −0.251526 | − | 0.185635i | −0.0251526 | − | 0.0185635i | ||||
\(101\) | − | 12.0397i | − | 1.19799i | −0.800752 | − | 0.598996i | \(-0.795566\pi\) | ||
0.800752 | − | 0.598996i | \(-0.204434\pi\) | |||||||
\(102\) | 1.07735 | + | 0.354514i | 0.106674 | + | 0.0351021i | ||||
\(103\) | 0.784321i | 0.0772814i | 0.999253 | + | 0.0386407i | \(0.0123028\pi\) | ||||
−0.999253 | + | 0.0386407i | \(0.987697\pi\) | |||||||
\(104\) | 14.4425 | − | 10.2475i | 1.41620 | − | 1.00485i | ||||
\(105\) | − | 11.2969i | − | 1.10247i | ||||||
\(106\) | 2.89217 | − | 8.78917i | 0.280912 | − | 0.853680i | ||||
\(107\) | 8.08673i | 0.781774i | 0.920439 | + | 0.390887i | \(0.127832\pi\) | ||||
−0.920439 | + | 0.390887i | \(0.872168\pi\) | |||||||
\(108\) | −1.60919 | − | 1.18764i | −0.154845 | − | 0.114281i | ||||
\(109\) | − | 0.577666i | − | 0.0553303i | −0.999617 | − | 0.0276652i | \(-0.991193\pi\) | ||
0.999617 | − | 0.0276652i | \(-0.00880722\pi\) | |||||||
\(110\) | −2.26873 | + | 6.89456i | −0.216315 | + | 0.657370i | ||||
\(111\) | 10.5854 | 1.00472 | ||||||||
\(112\) | −5.86553 | − | 19.0158i | −0.554240 | − | 1.79683i | ||||
\(113\) | − | 3.80706i | − | 0.358138i | −0.983837 | − | 0.179069i | \(-0.942691\pi\) | ||
0.983837 | − | 0.179069i | \(-0.0573086\pi\) | |||||||
\(114\) | −0.906438 | + | 2.75462i | −0.0848957 | + | 0.257994i | ||||
\(115\) | −16.8281 | −1.56922 | ||||||||
\(116\) | −10.1425 | − | 7.48553i | −0.941707 | − | 0.695014i | ||||
\(117\) | − | 6.26095i | − | 0.578825i | ||||||
\(118\) | −2.11023 | + | 6.41289i | −0.194262 | + | 0.590354i | ||||
\(119\) | 3.98987 | 0.365751 | ||||||||
\(120\) | −5.23807 | + | 3.71659i | −0.478168 | + | 0.339277i | ||||
\(121\) | −5.89150 | −0.535590 | ||||||||
\(122\) | −4.66695 | + | 14.1827i | −0.422526 | + | 1.28404i | ||||
\(123\) | 0.0427625i | 0.00385577i | ||||||||
\(124\) | 4.11053 | + | 3.03372i | 0.369137 | + | 0.272436i | ||||
\(125\) | − | 10.9988i | − | 0.983764i | ||||||
\(126\) | −6.68314 | − | 2.19916i | −0.595382 | − | 0.195917i | ||||
\(127\) | − | 2.71383i | − | 0.240814i | −0.992725 | − | 0.120407i | \(-0.961580\pi\) | ||
0.992725 | − | 0.120407i | \(-0.0384199\pi\) | |||||||
\(128\) | −6.88740 | + | 8.97573i | −0.608766 | + | 0.793350i | ||||
\(129\) | −0.122241 | −0.0107627 | ||||||||
\(130\) | −19.0985 | − | 6.28457i | −1.67505 | − | 0.551193i | ||||
\(131\) | − | 15.8408i | − | 1.38402i | −0.721889 | − | 0.692009i | \(-0.756726\pi\) | ||
0.721889 | − | 0.692009i | \(-0.243274\pi\) | |||||||
\(132\) | 3.63710 | + | 2.68431i | 0.316569 | + | 0.233639i | ||||
\(133\) | 10.2015i | 0.884580i | ||||||||
\(134\) | −0.0216033 | − | 11.5758i | −0.00186624 | − | 0.999998i | ||||
\(135\) | 2.27075i | 0.195435i | ||||||||
\(136\) | −1.31263 | − | 1.84999i | −0.112557 | − | 0.158636i | ||||
\(137\) | 6.43436i | 0.549724i | 0.961484 | + | 0.274862i | \(0.0886322\pi\) | ||||
−0.961484 | + | 0.274862i | \(0.911368\pi\) | |||||||
\(138\) | −3.27590 | + | 9.95531i | −0.278863 | + | 0.847452i | ||||
\(139\) | 9.48021 | 0.804101 | 0.402051 | − | 0.915617i | \(-0.368298\pi\) | ||||
0.402051 | + | 0.915617i | \(0.368298\pi\) | |||||||
\(140\) | −13.4167 | + | 18.1789i | −1.13392 | + | 1.53640i | ||||
\(141\) | − | 4.63996i | − | 0.390756i | ||||||
\(142\) | 1.88661 | − | 5.73331i | 0.158320 | − | 0.481129i | ||||
\(143\) | 14.1510i | 1.18337i | ||||||||
\(144\) | 1.17901 | + | 3.82230i | 0.0982506 | + | 0.318525i | ||||
\(145\) | 14.3122i | 1.18856i | ||||||||
\(146\) | 16.1468 | + | 5.31328i | 1.33632 | + | 0.439730i | ||||
\(147\) | −17.7503 | −1.46402 | ||||||||
\(148\) | −17.0339 | − | 12.5717i | −1.40018 | − | 1.03339i | ||||
\(149\) | −2.55864 | −0.209612 | −0.104806 | − | 0.994493i | \(-0.533422\pi\) | ||||
−0.104806 | + | 0.994493i | \(0.533422\pi\) | |||||||
\(150\) | 0.209973 | + | 0.0690940i | 0.0171443 | + | 0.00564150i | ||||
\(151\) | 9.72333i | 0.791274i | 0.918407 | + | 0.395637i | \(0.129476\pi\) | ||||
−0.918407 | + | 0.395637i | \(0.870524\pi\) | |||||||
\(152\) | 4.73015 | − | 3.35620i | 0.383666 | − | 0.272224i | ||||
\(153\) | −0.801988 | −0.0648369 | ||||||||
\(154\) | 15.1052 | + | 4.97054i | 1.21721 | + | 0.400537i | ||||
\(155\) | − | 5.80042i | − | 0.465901i | ||||||
\(156\) | −7.43578 | + | 10.0751i | −0.595339 | + | 0.806652i | ||||
\(157\) | −1.07000 | −0.0853952 | −0.0426976 | − | 0.999088i | \(-0.513595\pi\) | ||||
−0.0426976 | + | 0.999088i | \(0.513595\pi\) | |||||||
\(158\) | 2.19503 | + | 0.722297i | 0.174627 | + | 0.0574629i | ||||
\(159\) | 6.54272i | 0.518871i | ||||||||
\(160\) | 12.8431 | + | 0.240249i | 1.01533 | + | 0.0189934i | ||||
\(161\) | 36.8685i | 2.90564i | ||||||||
\(162\) | 1.34335 | + | 0.442044i | 0.105544 | + | 0.0347303i | ||||
\(163\) | 12.5690i | 0.984480i | 0.870460 | + | 0.492240i | \(0.163822\pi\) | ||||
−0.870460 | + | 0.492240i | \(0.836178\pi\) | |||||||
\(164\) | 0.0507866 | − | 0.0688132i | 0.00396577 | − | 0.00537341i | ||||
\(165\) | − | 5.13235i | − | 0.399553i | ||||||
\(166\) | 2.48795 | − | 7.56076i | 0.193102 | − | 0.586828i | ||||
\(167\) | − | 18.3858i | − | 1.42273i | −0.702821 | − | 0.711367i | \(-0.748077\pi\) | ||
0.702821 | − | 0.711367i | \(-0.251923\pi\) | |||||||
\(168\) | 8.14265 | + | 11.4761i | 0.628219 | + | 0.885397i | ||||
\(169\) | −26.1995 | −2.01535 | ||||||||
\(170\) | −0.805013 | + | 2.44640i | −0.0617417 | + | 0.187630i | ||||
\(171\) | − | 2.05056i | − | 0.156810i | ||||||
\(172\) | 0.196709 | + | 0.145178i | 0.0149989 | + | 0.0110698i | ||||
\(173\) | 7.50460 | 0.570564 | 0.285282 | − | 0.958444i | \(-0.407913\pi\) | ||||
0.285282 | + | 0.958444i | \(0.407913\pi\) | |||||||
\(174\) | 8.46694 | + | 2.78614i | 0.641877 | + | 0.211216i | ||||
\(175\) | 0.777615 | 0.0587822 | ||||||||
\(176\) | −2.66479 | − | 8.63915i | −0.200866 | − | 0.651201i | ||||
\(177\) | − | 4.77379i | − | 0.358820i | ||||||
\(178\) | 15.0232 | + | 4.94356i | 1.12604 | + | 0.370535i | ||||
\(179\) | 16.1813 | 1.20945 | 0.604725 | − | 0.796434i | \(-0.293283\pi\) | ||||
0.604725 | + | 0.796434i | \(0.293283\pi\) | |||||||
\(180\) | 2.69684 | − | 3.65408i | 0.201011 | − | 0.272359i | ||||
\(181\) | −7.75811 | −0.576655 | −0.288328 | − | 0.957532i | \(-0.593099\pi\) | ||||
−0.288328 | + | 0.957532i | \(0.593099\pi\) | |||||||
\(182\) | −13.7688 | + | 41.8428i | −1.02061 | + | 3.10160i | ||||
\(183\) | − | 10.5577i | − | 0.780445i | ||||||
\(184\) | 17.0949 | − | 12.1294i | 1.26025 | − | 0.894193i | ||||
\(185\) | 24.0368i | 1.76722i | ||||||||
\(186\) | −3.43147 | − | 1.12916i | −0.251608 | − | 0.0827941i | ||||
\(187\) | 1.81265 | 0.132554 | ||||||||
\(188\) | −5.51062 | + | 7.46660i | −0.401903 | + | 0.544558i | ||||
\(189\) | 4.97497 | 0.361876 | ||||||||
\(190\) | −6.25506 | − | 2.05830i | −0.453790 | − | 0.149324i | ||||
\(191\) | −22.1612 | −1.60353 | −0.801763 | − | 0.597643i | \(-0.796104\pi\) | ||||
−0.801763 | + | 0.597643i | \(0.796104\pi\) | |||||||
\(192\) | 2.64227 | − | 7.55105i | 0.190690 | − | 0.544950i | ||||
\(193\) | −2.08597 | −0.150151 | −0.0750756 | − | 0.997178i | \(-0.523920\pi\) | ||||
−0.0750756 | + | 0.997178i | \(0.523920\pi\) | |||||||
\(194\) | −6.44614 | + | 19.5895i | −0.462806 | + | 1.40645i | ||||
\(195\) | 14.2171 | 1.01810 | ||||||||
\(196\) | 28.5637 | + | 21.0811i | 2.04027 | + | 1.50579i | ||||
\(197\) | − | 10.2001i | − | 0.726730i | −0.931647 | − | 0.363365i | \(-0.881628\pi\) | ||
0.931647 | − | 0.363365i | \(-0.118372\pi\) | |||||||
\(198\) | −3.03625 | − | 0.999109i | −0.215777 | − | 0.0710036i | ||||
\(199\) | − | 9.92139i | − | 0.703309i | −0.936130 | − | 0.351655i | \(-0.885619\pi\) | ||
0.936130 | − | 0.351655i | \(-0.114381\pi\) | |||||||
\(200\) | −0.255829 | − | 0.360559i | −0.0180898 | − | 0.0254954i | ||||
\(201\) | 2.57302 | + | 7.77043i | 0.181487 | + | 0.548084i | ||||
\(202\) | 5.32207 | − | 16.1735i | 0.374460 | − | 1.13797i | ||||
\(203\) | 31.3565 | 2.20079 | ||||||||
\(204\) | 1.29055 | + | 0.952476i | 0.0903568 | + | 0.0666866i | ||||
\(205\) | −0.0971030 | −0.00678197 | ||||||||
\(206\) | −0.346705 | + | 1.05362i | −0.0241561 | + | 0.0734091i | ||||
\(207\) | − | 7.41079i | − | 0.515086i | ||||||
\(208\) | 23.9312 | − | 7.38171i | 1.65933 | − | 0.511830i | ||||
\(209\) | 4.63468i | 0.320587i | ||||||||
\(210\) | 4.99374 | − | 15.1757i | 0.344601 | − | 1.04723i | ||||
\(211\) | − | 4.80215i | − | 0.330594i | −0.986244 | − | 0.165297i | \(-0.947142\pi\) | ||
0.986244 | − | 0.165297i | \(-0.0528582\pi\) | |||||||
\(212\) | 7.77041 | − | 10.5285i | 0.533674 | − | 0.723100i | ||||
\(213\) | 4.26791i | 0.292432i | ||||||||
\(214\) | −3.57469 | + | 10.8633i | −0.244361 | + | 0.742602i | ||||
\(215\) | − | 0.277578i | − | 0.0189307i | ||||||
\(216\) | −1.63672 | − | 2.30676i | −0.111365 | − | 0.156955i | ||||
\(217\) | −12.7081 | −0.862682 | ||||||||
\(218\) | 0.255354 | − | 0.776009i | 0.0172947 | − | 0.0525579i | ||||
\(219\) | −12.0198 | −0.812222 | ||||||||
\(220\) | −6.09540 | + | 8.25894i | −0.410952 | + | 0.556818i | ||||
\(221\) | 5.02121i | 0.337763i | ||||||||
\(222\) | 14.2199 | + | 4.67921i | 0.954378 | + | 0.314048i | ||||
\(223\) | 20.5061i | 1.37319i | 0.727042 | + | 0.686593i | \(0.240895\pi\) | ||||
−0.727042 | + | 0.686593i | \(0.759105\pi\) | |||||||
\(224\) | 0.526360 | − | 28.1378i | 0.0351689 | − | 1.88003i | ||||
\(225\) | −0.156305 | −0.0104204 | ||||||||
\(226\) | 1.68289 | − | 5.11423i | 0.111944 | − | 0.340193i | ||||
\(227\) | − | 17.8100i | − | 1.18209i | −0.806637 | − | 0.591047i | \(-0.798715\pi\) | ||
0.806637 | − | 0.591047i | \(-0.201285\pi\) | |||||||
\(228\) | −2.43533 | + | 3.29975i | −0.161284 | + | 0.218531i | ||||
\(229\) | 15.6488i | 1.03410i | 0.855956 | + | 0.517049i | \(0.172970\pi\) | ||||
−0.855956 | + | 0.517049i | \(0.827030\pi\) | |||||||
\(230\) | −22.6060 | − | 7.43875i | −1.49060 | − | 0.490497i | ||||
\(231\) | −11.2444 | −0.739829 | ||||||||
\(232\) | −10.3160 | − | 14.5391i | −0.677279 | − | 0.954541i | ||||
\(233\) | − | 21.3398i | − | 1.39802i | −0.715114 | − | 0.699008i | \(-0.753625\pi\) | ||
0.715114 | − | 0.699008i | \(-0.246375\pi\) | |||||||
\(234\) | 2.76762 | − | 8.41067i | 0.180925 | − | 0.549823i | ||||
\(235\) | 10.5362 | 0.687306 | ||||||||
\(236\) | −5.66956 | + | 7.68196i | −0.369057 | + | 0.500053i | ||||
\(237\) | −1.63399 | −0.106139 | ||||||||
\(238\) | 5.35980 | + | 1.76370i | 0.347424 | + | 0.114324i | ||||
\(239\) | 14.7710 | 0.955455 | 0.477727 | − | 0.878508i | \(-0.341461\pi\) | ||||
0.477727 | + | 0.878508i | \(0.341461\pi\) | |||||||
\(240\) | −8.67948 | + | 2.67723i | −0.560258 | + | 0.172814i | ||||
\(241\) | 12.6074 | 0.812116 | 0.406058 | − | 0.913847i | \(-0.366903\pi\) | ||||
0.406058 | + | 0.913847i | \(0.366903\pi\) | |||||||
\(242\) | −7.91436 | − | 2.60430i | −0.508754 | − | 0.167411i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −12.5387 | + | 16.9893i | −0.802710 | + | 1.08763i | ||||
\(245\) | − | 40.3066i | − | 2.57509i | ||||||
\(246\) | −0.0189029 | + | 0.0574452i | −0.00120521 | + | 0.00366257i | ||||
\(247\) | −12.8385 | −0.816892 | ||||||||
\(248\) | 4.18086 | + | 5.89240i | 0.265485 | + | 0.374168i | ||||
\(249\) | 5.62827i | 0.356677i | ||||||||
\(250\) | 4.86197 | − | 14.7753i | 0.307498 | − | 0.934472i | ||||
\(251\) | −10.5634 | −0.666758 | −0.333379 | − | 0.942793i | \(-0.608189\pi\) | ||||
−0.333379 | + | 0.942793i | \(0.608189\pi\) | |||||||
\(252\) | −8.00569 | − | 5.90849i | −0.504311 | − | 0.372200i | ||||
\(253\) | 16.7499i | 1.05306i | ||||||||
\(254\) | 1.19963 | − | 3.64563i | 0.0752718 | − | 0.228747i | ||||
\(255\) | − | 1.82111i | − | 0.114043i | ||||||
\(256\) | −13.2199 | + | 9.01303i | −0.826243 | + | 0.563314i | ||||
\(257\) | −28.7622 | −1.79414 | −0.897069 | − | 0.441891i | \(-0.854308\pi\) | ||||
−0.897069 | + | 0.441891i | \(0.854308\pi\) | |||||||
\(258\) | −0.164212 | − | 0.0540358i | −0.0102234 | − | 0.00336412i | ||||
\(259\) | 52.6620 | 3.27226 | ||||||||
\(260\) | −22.8780 | − | 16.8848i | −1.41883 | − | 1.04715i | ||||
\(261\) | −6.30284 | −0.390136 | ||||||||
\(262\) | 7.00234 | − | 21.2798i | 0.432606 | − | 1.31467i | ||||
\(263\) | − | 27.1396i | − | 1.67350i | −0.547584 | − | 0.836751i | \(-0.684452\pi\) | ||
0.547584 | − | 0.836751i | \(-0.315548\pi\) | |||||||
\(264\) | 3.69932 | + | 5.21374i | 0.227678 | + | 0.320883i | ||||
\(265\) | −14.8569 | −0.912650 | ||||||||
\(266\) | −4.50951 | + | 13.7042i | −0.276496 | + | 0.840257i | ||||
\(267\) | −11.1834 | −0.684413 | ||||||||
\(268\) | 5.08800 | − | 15.5600i | 0.310799 | − | 0.950476i | ||||
\(269\) | −26.0364 | −1.58747 | −0.793734 | − | 0.608265i | \(-0.791866\pi\) | ||||
−0.793734 | + | 0.608265i | \(0.791866\pi\) | |||||||
\(270\) | −1.00377 | + | 3.05042i | −0.0610876 | + | 0.185643i | ||||
\(271\) | 22.5243 | 1.36825 | 0.684127 | − | 0.729363i | \(-0.260183\pi\) | ||||
0.684127 | + | 0.729363i | \(0.260183\pi\) | |||||||
\(272\) | −0.945550 | − | 3.06543i | −0.0573324 | − | 0.185869i | ||||
\(273\) | − | 31.1481i | − | 1.88517i | ||||||
\(274\) | −2.84427 | + | 8.64361i | −0.171829 | + | 0.522180i | ||||
\(275\) | 0.353282 | 0.0213037 | ||||||||
\(276\) | −8.80138 | + | 11.9254i | −0.529781 | + | 0.717825i | ||||
\(277\) | 26.8832 | 1.61525 | 0.807627 | − | 0.589693i | \(-0.200751\pi\) | ||||
0.807627 | + | 0.589693i | \(0.200751\pi\) | |||||||
\(278\) | 12.7353 | + | 4.19068i | 0.763811 | + | 0.251340i | ||||
\(279\) | 2.55441 | 0.152928 | ||||||||
\(280\) | −26.0593 | + | 18.4899i | −1.55734 | + | 1.10498i | ||||
\(281\) | − | 9.50374i | − | 0.566946i | −0.958980 | − | 0.283473i | \(-0.908513\pi\) | ||
0.958980 | − | 0.283473i | \(-0.0914866\pi\) | |||||||
\(282\) | 2.05107 | − | 6.23311i | 0.122139 | − | 0.371176i | ||||
\(283\) | − | 30.5183i | − | 1.81413i | −0.420995 | − | 0.907063i | \(-0.638319\pi\) | ||
0.420995 | − | 0.907063i | \(-0.361681\pi\) | |||||||
\(284\) | 5.06875 | − | 6.86789i | 0.300775 | − | 0.407534i | ||||
\(285\) | 4.65631 | 0.275816 | ||||||||
\(286\) | −6.25537 | + | 19.0098i | −0.369888 | + | 1.12407i | ||||
\(287\) | 0.212742i | 0.0125578i | ||||||||
\(288\) | −0.105802 | + | 5.65586i | −0.00623442 | + | 0.333275i | ||||
\(289\) | −16.3568 | −0.962166 | ||||||||
\(290\) | −6.32662 | + | 19.2263i | −0.371512 | + | 1.12901i | ||||
\(291\) | − | 14.5826i | − | 0.854844i | ||||||
\(292\) | 19.3422 | + | 14.2752i | 1.13191 | + | 0.835394i | ||||
\(293\) | 27.4962 | 1.60634 | 0.803172 | − | 0.595748i | \(-0.203144\pi\) | ||||
0.803172 | + | 0.595748i | \(0.203144\pi\) | |||||||
\(294\) | −23.8450 | − | 7.84644i | −1.39067 | − | 0.457614i | ||||
\(295\) | 10.8401 | 0.631135 | ||||||||
\(296\) | −17.3254 | − | 24.4180i | −1.00702 | − | 1.41926i | ||||
\(297\) | 2.26020 | 0.131150 | ||||||||
\(298\) | −3.43715 | − | 1.13103i | −0.199109 | − | 0.0655188i | ||||
\(299\) | −46.3986 | −2.68330 | ||||||||
\(300\) | 0.251526 | + | 0.185635i | 0.0145218 | + | 0.0107177i | ||||
\(301\) | −0.608144 | −0.0350529 | ||||||||
\(302\) | −4.29814 | + | 13.0619i | −0.247330 | + | 0.751626i | ||||
\(303\) | 12.0397i | 0.691661i | ||||||||
\(304\) | 7.83784 | − | 2.41762i | 0.449531 | − | 0.138660i | ||||
\(305\) | 23.9738 | 1.37274 | ||||||||
\(306\) | −1.07735 | − | 0.354514i | −0.0615882 | − | 0.0202662i | ||||
\(307\) | − | 30.1875i | − | 1.72289i | −0.507849 | − | 0.861446i | \(-0.669559\pi\) | ||
0.507849 | − | 0.861446i | \(-0.330441\pi\) | |||||||
\(308\) | 18.0945 | + | 13.3544i | 1.03103 | + | 0.760936i | ||||
\(309\) | − | 0.784321i | − | 0.0446184i | ||||||
\(310\) | 2.56404 | − | 7.79201i | 0.145628 | − | 0.442556i | ||||
\(311\) | 3.78543 | 0.214652 | 0.107326 | − | 0.994224i | \(-0.465771\pi\) | ||||
0.107326 | + | 0.994224i | \(0.465771\pi\) | |||||||
\(312\) | −14.4425 | + | 10.2475i | −0.817646 | + | 0.580148i | ||||
\(313\) | 2.73274i | 0.154463i | 0.997013 | + | 0.0772317i | \(0.0246081\pi\) | ||||
−0.997013 | + | 0.0772317i | \(0.975392\pi\) | |||||||
\(314\) | −1.43739 | − | 0.472987i | −0.0811164 | − | 0.0266922i | ||||
\(315\) | 11.2969i | 0.636509i | ||||||||
\(316\) | 2.62941 | + | 1.94060i | 0.147916 | + | 0.109167i | ||||
\(317\) | 22.7802 | 1.27946 | 0.639731 | − | 0.768599i | \(-0.279046\pi\) | ||||
0.639731 | + | 0.768599i | \(0.279046\pi\) | |||||||
\(318\) | −2.89217 | + | 8.78917i | −0.162185 | + | 0.492872i | ||||
\(319\) | 14.2457 | 0.797605 | ||||||||
\(320\) | 17.1466 | + | 5.99994i | 0.958521 | + | 0.335407i | ||||
\(321\) | − | 8.08673i | − | 0.451357i | ||||||
\(322\) | −16.2975 | + | 49.5274i | −0.908225 | + | 2.76005i | ||||
\(323\) | 1.64452i | 0.0915038i | ||||||||
\(324\) | 1.60919 | + | 1.18764i | 0.0893996 | + | 0.0659802i | ||||
\(325\) | 0.978621i | 0.0542842i | ||||||||
\(326\) | −5.55606 | + | 16.8846i | −0.307721 | + | 0.935151i | ||||
\(327\) | 0.577666i | 0.0319450i | ||||||||
\(328\) | 0.0986429 | − | 0.0699904i | 0.00544664 | − | 0.00386458i | ||||
\(329\) | − | 23.0837i | − | 1.27265i | ||||||
\(330\) | 2.26873 | − | 6.89456i | 0.124889 | − | 0.379533i | ||||
\(331\) | 30.0443 | 1.65138 | 0.825692 | − | 0.564121i | \(-0.190785\pi\) | ||||
0.825692 | + | 0.564121i | \(0.190785\pi\) | |||||||
\(332\) | 6.68438 | − | 9.05698i | 0.366853 | − | 0.497066i | ||||
\(333\) | −10.5854 | −0.580076 | ||||||||
\(334\) | 8.12733 | − | 24.6986i | 0.444707 | − | 1.35145i | ||||
\(335\) | −17.6447 | + | 5.84269i | −0.964033 | + | 0.319220i | ||||
\(336\) | 5.86553 | + | 19.0158i | 0.319991 | + | 1.03740i | ||||
\(337\) | − | 4.09206i | − | 0.222909i | −0.993770 | − | 0.111454i | \(-0.964449\pi\) | ||
0.993770 | − | 0.111454i | \(-0.0355509\pi\) | |||||||
\(338\) | −35.1952 | − | 11.5814i | −1.91437 | − | 0.629943i | ||||
\(339\) | 3.80706i | 0.206771i | ||||||||
\(340\) | −2.16283 | + | 2.93052i | −0.117296 | + | 0.158930i | ||||
\(341\) | −5.77347 | −0.312651 | ||||||||
\(342\) | 0.906438 | − | 2.75462i | 0.0490146 | − | 0.148953i | ||||
\(343\) | −53.4827 | −2.88779 | ||||||||
\(344\) | 0.200074 | + | 0.281980i | 0.0107873 | + | 0.0152033i | ||||
\(345\) | 16.8281 | 0.905992 | ||||||||
\(346\) | 10.0813 | + | 3.31737i | 0.541976 | + | 0.178343i | ||||
\(347\) | −23.6605 | −1.27016 | −0.635082 | − | 0.772445i | \(-0.719034\pi\) | ||||
−0.635082 | + | 0.772445i | \(0.719034\pi\) | |||||||
\(348\) | 10.1425 | + | 7.48553i | 0.543695 | + | 0.401266i | ||||
\(349\) | −15.4316 | −0.826036 | −0.413018 | − | 0.910723i | \(-0.635525\pi\) | ||||
−0.413018 | + | 0.910723i | \(0.635525\pi\) | |||||||
\(350\) | 1.04461 | + | 0.343741i | 0.0558368 | + | 0.0183737i | ||||
\(351\) | 6.26095i | 0.334185i | ||||||||
\(352\) | 0.239133 | − | 12.7834i | 0.0127458 | − | 0.681357i | ||||
\(353\) | − | 26.5179i | − | 1.41141i | −0.708508 | − | 0.705703i | \(-0.750631\pi\) | ||
0.708508 | − | 0.705703i | \(-0.249369\pi\) | |||||||
\(354\) | 2.11023 | − | 6.41289i | 0.112157 | − | 0.340841i | ||||
\(355\) | −9.69136 | −0.514364 | ||||||||
\(356\) | 17.9962 | + | 13.2819i | 0.953799 | + | 0.703938i | ||||
\(357\) | −3.98987 | −0.211166 | ||||||||
\(358\) | 21.7373 | + | 7.15287i | 1.14885 | + | 0.378041i | ||||
\(359\) | 5.34011i | 0.281840i | 0.990021 | + | 0.140920i | \(0.0450061\pi\) | ||||
−0.990021 | + | 0.140920i | \(0.954994\pi\) | |||||||
\(360\) | 5.23807 | − | 3.71659i | 0.276071 | − | 0.195881i | ||||
\(361\) | 14.7952 | 0.778695 | ||||||||
\(362\) | −10.4219 | − | 3.42943i | −0.547761 | − | 0.180247i | ||||
\(363\) | 5.89150 | 0.309223 | ||||||||
\(364\) | −36.9928 | + | 50.1233i | −1.93895 | + | 2.62717i | ||||
\(365\) | − | 27.2939i | − | 1.42863i | ||||||
\(366\) | 4.66695 | − | 14.1827i | 0.243946 | − | 0.741340i | ||||
\(367\) | 1.83574 | 0.0958246 | 0.0479123 | − | 0.998852i | \(-0.484743\pi\) | ||||
0.0479123 | + | 0.998852i | \(0.484743\pi\) | |||||||
\(368\) | 28.3262 | − | 8.73738i | 1.47661 | − | 0.455467i | ||||
\(369\) | − | 0.0427625i | − | 0.00222613i | ||||||
\(370\) | −10.6253 | + | 32.2899i | −0.552384 | + | 1.67867i | ||||
\(371\) | 32.5498i | 1.68990i | ||||||||
\(372\) | −4.11053 | − | 3.03372i | −0.213121 | − | 0.157291i | ||||
\(373\) | − | 7.22623i | − | 0.374160i | −0.982345 | − | 0.187080i | \(-0.940098\pi\) | ||
0.982345 | − | 0.187080i | \(-0.0599024\pi\) | |||||||
\(374\) | 2.43503 | + | 0.801273i | 0.125913 | + | 0.0414329i | ||||
\(375\) | 10.9988i | 0.567977i | ||||||||
\(376\) | −10.7033 | + | 7.59434i | −0.551980 | + | 0.391648i | ||||
\(377\) | 39.4618i | 2.03239i | ||||||||
\(378\) | 6.68314 | + | 2.19916i | 0.343744 | + | 0.113113i | ||||
\(379\) | −5.69650 | −0.292610 | −0.146305 | − | 0.989240i | \(-0.546738\pi\) | ||||
−0.146305 | + | 0.989240i | \(0.546738\pi\) | |||||||
\(380\) | −7.49290 | − | 5.53003i | −0.384378 | − | 0.283685i | ||||
\(381\) | 2.71383i | 0.139034i | ||||||||
\(382\) | −29.7703 | − | 9.79622i | −1.52318 | − | 0.501218i | ||||
\(383\) | −5.56592 | −0.284405 | −0.142203 | − | 0.989838i | \(-0.545418\pi\) | ||||
−0.142203 | + | 0.989838i | \(0.545418\pi\) | |||||||
\(384\) | 6.88740 | − | 8.97573i | 0.351471 | − | 0.458041i | ||||
\(385\) | − | 25.5333i | − | 1.30130i | ||||||
\(386\) | −2.80219 | − | 0.922090i | −0.142628 | − | 0.0469331i | ||||
\(387\) | 0.122241 | 0.00621385 | ||||||||
\(388\) | −17.3189 | + | 23.4662i | −0.879232 | + | 1.19131i | ||||
\(389\) | 10.8987 | 0.552584 | 0.276292 | − | 0.961074i | \(-0.410894\pi\) | ||||
0.276292 | + | 0.961074i | \(0.410894\pi\) | |||||||
\(390\) | 19.0985 | + | 6.28457i | 0.967092 | + | 0.318232i | ||||
\(391\) | 5.94337i | 0.300569i | ||||||||
\(392\) | 29.0524 | + | 40.9458i | 1.46737 | + | 2.06807i | ||||
\(393\) | 15.8408i | 0.799063i | ||||||||
\(394\) | 4.50892 | − | 13.7024i | 0.227156 | − | 0.690316i | ||||
\(395\) | − | 3.71039i | − | 0.186690i | ||||||
\(396\) | −3.63710 | − | 2.68431i | −0.182771 | − | 0.134892i | ||||
\(397\) | 24.9955 | 1.25449 | 0.627244 | − | 0.778823i | \(-0.284183\pi\) | ||||
0.627244 | + | 0.778823i | \(0.284183\pi\) | |||||||
\(398\) | 4.38570 | − | 13.3279i | 0.219835 | − | 0.668069i | ||||
\(399\) | − | 10.2015i | − | 0.510713i | ||||||
\(400\) | −0.184285 | − | 0.597446i | −0.00921426 | − | 0.0298723i | ||||
\(401\) | 34.5434i | 1.72502i | 0.506043 | + | 0.862508i | \(0.331108\pi\) | ||||
−0.506043 | + | 0.862508i | \(0.668892\pi\) | |||||||
\(402\) | 0.0216033 | + | 11.5758i | 0.00107747 | + | 0.577349i | ||||
\(403\) | − | 15.9930i | − | 0.796669i | ||||||
\(404\) | 14.2988 | − | 19.3742i | 0.711394 | − | 0.963901i | ||||
\(405\) | − | 2.27075i | − | 0.112834i | ||||||
\(406\) | 42.1228 | + | 13.8610i | 2.09052 | + | 0.687907i | ||||
\(407\) | 23.9251 | 1.18592 | ||||||||
\(408\) | 1.31263 | + | 1.84999i | 0.0649850 | + | 0.0915883i | ||||
\(409\) | 24.7341i | 1.22302i | 0.791236 | + | 0.611511i | \(0.209438\pi\) | ||||
−0.791236 | + | 0.611511i | \(0.790562\pi\) | |||||||
\(410\) | −0.130444 | − | 0.0429238i | −0.00644215 | − | 0.00211986i | ||||
\(411\) | − | 6.43436i | − | 0.317383i | ||||||
\(412\) | −0.931493 | + | 1.26212i | −0.0458914 | + | 0.0621804i | ||||
\(413\) | − | 23.7495i | − | 1.16864i | ||||||
\(414\) | 3.27590 | − | 9.95531i | 0.161002 | − | 0.489277i | ||||
\(415\) | −12.7804 | −0.627365 | ||||||||
\(416\) | 35.4111 | + | 0.662419i | 1.73617 | + | 0.0324778i | ||||
\(417\) | −9.48021 | −0.464248 | ||||||||
\(418\) | −2.04873 | + | 6.22600i | −0.100207 | + | 0.304524i | ||||
\(419\) | − | 20.1239i | − | 0.983115i | −0.870845 | − | 0.491558i | \(-0.836428\pi\) | ||
0.870845 | − | 0.491558i | \(-0.163572\pi\) | |||||||
\(420\) | 13.4167 | − | 18.1789i | 0.654668 | − | 0.887041i | ||||
\(421\) | −28.3976 | −1.38401 | −0.692007 | − | 0.721891i | \(-0.743273\pi\) | ||||
−0.692007 | + | 0.721891i | \(0.743273\pi\) | |||||||
\(422\) | 2.12276 | − | 6.45098i | 0.103334 | − | 0.314029i | ||||
\(423\) | 4.63996i | 0.225603i | ||||||||
\(424\) | 15.0925 | − | 10.7086i | 0.732955 | − | 0.520056i | ||||
\(425\) | 0.125355 | 0.00608062 | ||||||||
\(426\) | −1.88661 | + | 5.73331i | −0.0914064 | + | 0.277780i | ||||
\(427\) | − | 52.5241i | − | 2.54182i | ||||||
\(428\) | −9.60415 | + | 13.0131i | −0.464234 | + | 0.629013i | ||||
\(429\) | − | 14.1510i | − | 0.683217i | ||||||
\(430\) | 0.122702 | − | 0.372885i | 0.00591721 | − | 0.0179821i | ||||
\(431\) | 21.5989i | 1.04038i | 0.854050 | + | 0.520190i | \(0.174139\pi\) | ||||
−0.854050 | + | 0.520190i | \(0.825861\pi\) | |||||||
\(432\) | −1.17901 | − | 3.82230i | −0.0567250 | − | 0.183900i | ||||
\(433\) | − | 24.8260i | − | 1.19306i | −0.802591 | − | 0.596530i | \(-0.796546\pi\) | ||
0.802591 | − | 0.596530i | \(-0.203454\pi\) | |||||||
\(434\) | −17.0715 | − | 5.61755i | −0.819456 | − | 0.269651i | ||||
\(435\) | − | 14.3122i | − | 0.686216i | ||||||
\(436\) | 0.686061 | − | 0.929576i | 0.0328563 | − | 0.0445186i | ||||
\(437\) | −15.1963 | −0.726936 | ||||||||
\(438\) | −16.1468 | − | 5.31328i | −0.771525 | − | 0.253878i | ||||
\(439\) | − | 30.2045i | − | 1.44158i | −0.693153 | − | 0.720790i | \(-0.743779\pi\) | ||
0.693153 | − | 0.720790i | \(-0.256221\pi\) | |||||||
\(440\) | −11.8391 | + | 8.40024i | −0.564407 | + | 0.400466i | ||||
\(441\) | 17.7503 | 0.845255 | ||||||||
\(442\) | −2.21960 | + | 6.74526i | −0.105575 | + | 0.320839i | ||||
\(443\) | −8.19067 | −0.389150 | −0.194575 | − | 0.980888i | \(-0.562333\pi\) | ||||
−0.194575 | + | 0.980888i | \(0.562333\pi\) | |||||||
\(444\) | 17.0339 | + | 12.5717i | 0.808395 | + | 0.596625i | ||||
\(445\) | − | 25.3947i | − | 1.20382i | ||||||
\(446\) | −9.06459 | + | 27.5469i | −0.429221 | + | 1.30438i | ||||
\(447\) | 2.55864 | 0.121019 | ||||||||
\(448\) | 13.1452 | − | 37.5663i | 0.621054 | − | 1.77484i | ||||
\(449\) | −19.9290 | −0.940507 | −0.470253 | − | 0.882532i | \(-0.655837\pi\) | ||||
−0.470253 | + | 0.882532i | \(0.655837\pi\) | |||||||
\(450\) | −0.209973 | − | 0.0690940i | −0.00989824 | − | 0.00325712i | ||||
\(451\) | 0.0966519i | 0.00455116i | ||||||||
\(452\) | 4.52143 | − | 6.12630i | 0.212670 | − | 0.288157i | ||||
\(453\) | − | 9.72333i | − | 0.456842i | ||||||
\(454\) | 7.87283 | − | 23.9252i | 0.369490 | − | 1.12286i | ||||
\(455\) | 70.7295 | 3.31585 | ||||||||
\(456\) | −4.73015 | + | 3.35620i | −0.221509 | + | 0.157168i | ||||
\(457\) | 10.7034 | 0.500684 | 0.250342 | − | 0.968157i | \(-0.419457\pi\) | ||||
0.250342 | + | 0.968157i | \(0.419457\pi\) | |||||||
\(458\) | −6.91744 | + | 21.0218i | −0.323231 | + | 0.982284i | ||||
\(459\) | 0.801988 | 0.0374336 | ||||||||
\(460\) | −27.0796 | − | 19.9857i | −1.26259 | − | 0.931839i | ||||
\(461\) | −5.20155 | −0.242260 | −0.121130 | − | 0.992637i | \(-0.538652\pi\) | ||||
−0.121130 | + | 0.992637i | \(0.538652\pi\) | |||||||
\(462\) | −15.1052 | − | 4.97054i | −0.702759 | − | 0.231250i | ||||
\(463\) | 13.5838 | 0.631295 | 0.315647 | − | 0.948877i | \(-0.397778\pi\) | ||||
0.315647 | + | 0.948877i | \(0.397778\pi\) | |||||||
\(464\) | −7.43110 | − | 24.0913i | −0.344980 | − | 1.11841i | ||||
\(465\) | 5.80042i | 0.268988i | ||||||||
\(466\) | 9.43313 | − | 28.6669i | 0.436981 | − | 1.32797i | ||||
\(467\) | 20.1652i | 0.933133i | 0.884486 | + | 0.466567i | \(0.154509\pi\) | ||||
−0.884486 | + | 0.466567i | \(0.845491\pi\) | |||||||
\(468\) | 7.43578 | − | 10.0751i | 0.343719 | − | 0.465721i | ||||
\(469\) | 12.8007 | + | 38.6577i | 0.591082 | + | 1.78504i | ||||
\(470\) | 14.1538 | + | 4.65747i | 0.652868 | + | 0.214833i | ||||
\(471\) | 1.07000 | 0.0493029 | ||||||||
\(472\) | −11.0120 | + | 7.81338i | −0.506868 | + | 0.359640i | ||||
\(473\) | −0.276289 | −0.0127038 | ||||||||
\(474\) | −2.19503 | − | 0.722297i | −0.100821 | − | 0.0331762i | ||||
\(475\) | 0.320514i | 0.0147062i | ||||||||
\(476\) | 6.42047 | + | 4.73854i | 0.294282 | + | 0.217191i | ||||
\(477\) | − | 6.54272i | − | 0.299570i | ||||||
\(478\) | 19.8426 | + | 6.52942i | 0.907581 | + | 0.298649i | ||||
\(479\) | − | 1.14279i | − | 0.0522153i | −0.999659 | − | 0.0261076i | \(-0.991689\pi\) | ||
0.999659 | − | 0.0261076i | \(-0.00831126\pi\) | |||||||
\(480\) | −12.8431 | − | 0.240249i | −0.586203 | − | 0.0109658i | ||||
\(481\) | 66.2747i | 3.02186i | ||||||||
\(482\) | 16.9362 | + | 5.57305i | 0.771424 | + | 0.253845i | ||||
\(483\) | − | 36.8685i | − | 1.67757i | ||||||
\(484\) | −9.48056 | − | 6.99699i | −0.430934 | − | 0.318045i | ||||
\(485\) | 33.1133 | 1.50360 | ||||||||
\(486\) | −1.34335 | − | 0.442044i | −0.0609357 | − | 0.0200515i | ||||
\(487\) | 1.60567 | 0.0727597 | 0.0363799 | − | 0.999338i | \(-0.488417\pi\) | ||||
0.0363799 | + | 0.999338i | \(0.488417\pi\) | |||||||
\(488\) | −24.3540 | + | 17.2800i | −1.10245 | + | 0.782228i | ||||
\(489\) | − | 12.5690i | − | 0.568390i | ||||||
\(490\) | 17.8173 | − | 54.1460i | 0.804904 | − | 2.44607i | ||||
\(491\) | 13.2070i | 0.596025i | 0.954562 | + | 0.298013i | \(0.0963237\pi\) | ||||
−0.954562 | + | 0.298013i | \(0.903676\pi\) | |||||||
\(492\) | −0.0507866 | + | 0.0688132i | −0.00228964 | + | 0.00310234i | ||||
\(493\) | 5.05480 | 0.227657 | ||||||||
\(494\) | −17.2466 | − | 5.67517i | −0.775960 | − | 0.255338i | ||||
\(495\) | 5.13235i | 0.230682i | ||||||||
\(496\) | 3.01166 | + | 9.76370i | 0.135228 | + | 0.438403i | ||||
\(497\) | 21.2327i | 0.952418i | ||||||||
\(498\) | −2.48795 | + | 7.56076i | −0.111488 | + | 0.338806i | ||||
\(499\) | −8.99468 | −0.402657 | −0.201329 | − | 0.979524i | \(-0.564526\pi\) | ||||
−0.201329 | + | 0.979524i | \(0.564526\pi\) | |||||||
\(500\) | 13.0627 | − | 17.6992i | 0.584180 | − | 0.791534i | ||||
\(501\) | 18.3858i | 0.821416i | ||||||||
\(502\) | −14.1904 | − | 4.66951i | −0.633350 | − | 0.208410i | ||||
\(503\) | −26.6513 | −1.18832 | −0.594162 | − | 0.804345i | \(-0.702516\pi\) | ||||
−0.594162 | + | 0.804345i | \(0.702516\pi\) | |||||||
\(504\) | −8.14265 | − | 11.4761i | −0.362703 | − | 0.511184i | ||||
\(505\) | −27.3391 | −1.21657 | ||||||||
\(506\) | −7.40419 | + | 22.5010i | −0.329156 | + | 1.00029i | ||||
\(507\) | 26.1995 | 1.16356 | ||||||||
\(508\) | 3.22306 | − | 4.36708i | 0.143000 | − | 0.193758i | ||||
\(509\) | −13.3609 | −0.592212 | −0.296106 | − | 0.955155i | \(-0.595688\pi\) | ||||
−0.296106 | + | 0.955155i | \(0.595688\pi\) | |||||||
\(510\) | 0.805013 | − | 2.44640i | 0.0356466 | − | 0.108328i | ||||
\(511\) | −59.7981 | −2.64531 | ||||||||
\(512\) | −21.7431 | + | 6.26390i | −0.960920 | + | 0.276828i | ||||
\(513\) | 2.05056i | 0.0905344i | ||||||||
\(514\) | −38.6378 | − | 12.7142i | −1.70424 | − | 0.560798i | ||||
\(515\) | 1.78100 | 0.0784801 | ||||||||
\(516\) | −0.196709 | − | 0.145178i | −0.00865963 | − | 0.00639112i | ||||
\(517\) | − | 10.4872i | − | 0.461229i | ||||||
\(518\) | 70.7437 | + | 23.2790i | 3.10830 | + | 1.02282i | ||||
\(519\) | −7.50460 | −0.329415 | ||||||||
\(520\) | −23.2694 | − | 32.7953i | −1.02043 | − | 1.43817i | ||||
\(521\) | 1.99406i | 0.0873612i | 0.999046 | + | 0.0436806i | \(0.0139084\pi\) | ||||
−0.999046 | + | 0.0436806i | \(0.986092\pi\) | |||||||
\(522\) | −8.46694 | − | 2.78614i | −0.370588 | − | 0.121946i | ||||
\(523\) | 22.8614i | 0.999657i | 0.866124 | + | 0.499829i | \(0.166604\pi\) | ||||
−0.866124 | + | 0.499829i | \(0.833396\pi\) | |||||||
\(524\) | 18.8132 | − | 25.4909i | 0.821860 | − | 1.11358i | ||||
\(525\) | −0.777615 | −0.0339379 | ||||||||
\(526\) | 11.9969 | − | 36.4581i | 0.523091 | − | 1.58965i | ||||
\(527\) | −2.04860 | −0.0892386 | ||||||||
\(528\) | 2.66479 | + | 8.63915i | 0.115970 | + | 0.375971i | ||||
\(529\) | −31.9199 | −1.38782 | ||||||||
\(530\) | −19.9580 | − | 6.56740i | −0.866921 | − | 0.285269i | ||||
\(531\) | 4.77379i | 0.207165i | ||||||||
\(532\) | −12.1157 | + | 16.4161i | −0.525283 | + | 0.711730i | ||||
\(533\) | −0.267734 | −0.0115969 | ||||||||
\(534\) | −15.0232 | − | 4.94356i | −0.650119 | − | 0.213929i | ||||
\(535\) | 18.3629 | 0.793899 | ||||||||
\(536\) | 13.7132 | − | 18.6534i | 0.592319 | − | 0.805704i | ||||
\(537\) | −16.1813 | −0.698277 | ||||||||
\(538\) | −34.9761 | − | 11.5093i | −1.50793 | − | 0.496199i | ||||
\(539\) | −40.1193 | −1.72806 | ||||||||
\(540\) | −2.69684 | + | 3.65408i | −0.116054 | + | 0.157246i | ||||
\(541\) | − | 34.9068i | − | 1.50076i | −0.661006 | − | 0.750381i | \(-0.729870\pi\) | ||
0.661006 | − | 0.750381i | \(-0.270130\pi\) | |||||||
\(542\) | 30.2581 | + | 9.95674i | 1.29970 | + | 0.427679i | ||||
\(543\) | 7.75811 | 0.332932 | ||||||||
\(544\) | 0.0848516 | − | 4.53594i | 0.00363798 | − | 0.194477i | ||||
\(545\) | −1.31173 | −0.0561885 | ||||||||
\(546\) | 13.7688 | − | 41.8428i | 0.589252 | − | 1.79071i | ||||
\(547\) | −15.7623 | −0.673949 | −0.336974 | − | 0.941514i | \(-0.609404\pi\) | ||||
−0.336974 | + | 0.941514i | \(0.609404\pi\) | |||||||
\(548\) | −7.64172 | + | 10.3541i | −0.326438 | + | 0.442306i | ||||
\(549\) | 10.5577i | 0.450590i | ||||||||
\(550\) | 0.474582 | + | 0.156166i | 0.0202362 | + | 0.00665895i | ||||
\(551\) | 12.9244i | 0.550596i | ||||||||
\(552\) | −17.0949 | + | 12.1294i | −0.727608 | + | 0.516262i | ||||
\(553\) | −8.12906 | −0.345683 | ||||||||
\(554\) | 36.1136 | + | 11.8836i | 1.53432 | + | 0.504884i | ||||
\(555\) | − | 24.0368i | − | 1.02030i | ||||||
\(556\) | 15.2555 | + | 11.2591i | 0.646977 | + | 0.477493i | ||||
\(557\) | −17.8525 | −0.756434 | −0.378217 | − | 0.925717i | \(-0.623463\pi\) | ||||
−0.378217 | + | 0.925717i | \(0.623463\pi\) | |||||||
\(558\) | 3.43147 | + | 1.12916i | 0.145266 | + | 0.0478012i | ||||
\(559\) | − | 0.765344i | − | 0.0323706i | ||||||
\(560\) | −43.1802 | + | 13.3191i | −1.82469 | + | 0.562837i | ||||
\(561\) | −1.81265 | −0.0765303 | ||||||||
\(562\) | 4.20107 | − | 12.7669i | 0.177212 | − | 0.538538i | ||||
\(563\) | −4.39824 | −0.185364 | −0.0926819 | − | 0.995696i | \(-0.529544\pi\) | ||||
−0.0926819 | + | 0.995696i | \(0.529544\pi\) | |||||||
\(564\) | 5.51062 | − | 7.46660i | 0.232039 | − | 0.314401i | ||||
\(565\) | −8.64488 | −0.363693 | ||||||||
\(566\) | 13.4905 | − | 40.9969i | 0.567046 | − | 1.72323i | ||||
\(567\) | −4.97497 | −0.208929 | ||||||||
\(568\) | 9.84504 | − | 6.98539i | 0.413089 | − | 0.293100i | ||||
\(569\) | 30.0978 | 1.26177 | 0.630883 | − | 0.775878i | \(-0.282693\pi\) | ||||
0.630883 | + | 0.775878i | \(0.282693\pi\) | |||||||
\(570\) | 6.25506 | + | 2.05830i | 0.261996 | + | 0.0862125i | ||||
\(571\) | 14.9871i | 0.627193i | 0.949556 | + | 0.313596i | \(0.101534\pi\) | ||||
−0.949556 | + | 0.313596i | \(0.898466\pi\) | |||||||
\(572\) | −16.8063 | + | 22.7717i | −0.702709 | + | 0.952133i | ||||
\(573\) | 22.1612 | 0.925796 | ||||||||
\(574\) | −0.0940416 | + | 0.285788i | −0.00392522 | + | 0.0119286i | ||||
\(575\) | 1.15835i | 0.0483064i | ||||||||
\(576\) | −2.64227 | + | 7.55105i | −0.110095 | + | 0.314627i | ||||
\(577\) | − | 8.20721i | − | 0.341671i | −0.985300 | − | 0.170835i | \(-0.945353\pi\) | ||
0.985300 | − | 0.170835i | \(-0.0546466\pi\) | |||||||
\(578\) | −21.9730 | − | 7.23044i | −0.913955 | − | 0.300747i | ||||
\(579\) | 2.08597 | 0.0866898 | ||||||||
\(580\) | −16.9978 | + | 23.0311i | −0.705794 | + | 0.956313i | ||||
\(581\) | 28.0005i | 1.16166i | ||||||||
\(582\) | 6.44614 | − | 19.5895i | 0.267201 | − | 0.812012i | ||||
\(583\) | 14.7878i | 0.612450i | ||||||||
\(584\) | 19.6731 | + | 27.7268i | 0.814078 | + | 1.14734i | ||||
\(585\) | −14.2171 | −0.587803 | ||||||||
\(586\) | 36.9371 | + | 12.1545i | 1.52586 | + | 0.502099i | ||||
\(587\) | 40.7038 | 1.68003 | 0.840013 | − | 0.542567i | \(-0.182548\pi\) | ||||
0.840013 | + | 0.542567i | \(0.182548\pi\) | |||||||
\(588\) | −28.5637 | − | 21.0811i | −1.17795 | − | 0.869369i | ||||
\(589\) | − | 5.23796i | − | 0.215827i | ||||||
\(590\) | 14.5621 | + | 4.79180i | 0.599511 | + | 0.197275i | ||||
\(591\) | 10.2001i | 0.419578i | ||||||||
\(592\) | −12.4803 | − | 40.4605i | −0.512935 | − | 1.66292i | ||||
\(593\) | 25.6918i | 1.05504i | 0.849544 | + | 0.527518i | \(0.176877\pi\) | ||||
−0.849544 | + | 0.527518i | \(0.823123\pi\) | |||||||
\(594\) | 3.03625 | + | 0.999109i | 0.124579 | + | 0.0409939i | ||||
\(595\) | − | 9.05999i | − | 0.371423i | ||||||
\(596\) | −4.11734 | − | 3.03875i | −0.168653 | − | 0.124472i | ||||
\(597\) | 9.92139i | 0.406056i | ||||||||
\(598\) | −62.3297 | − | 20.5103i | −2.54885 | − | 0.838727i | ||||
\(599\) | 11.2224 | 0.458534 | 0.229267 | − | 0.973364i | \(-0.426367\pi\) | ||||
0.229267 | + | 0.973364i | \(0.426367\pi\) | |||||||
\(600\) | 0.255829 | + | 0.360559i | 0.0104442 | + | 0.0147198i | ||||
\(601\) | 41.1487 | 1.67849 | 0.839246 | − | 0.543752i | \(-0.182997\pi\) | ||||
0.839246 | + | 0.543752i | \(0.182997\pi\) | |||||||
\(602\) | −0.816952 | − | 0.268827i | −0.0332965 | − | 0.0109566i | ||||
\(603\) | −2.57302 | − | 7.77043i | −0.104782 | − | 0.316436i | ||||
\(604\) | −11.5478 | + | 15.6467i | −0.469875 | + | 0.636656i | ||||
\(605\) | 13.3781i | 0.543898i | ||||||||
\(606\) | −5.32207 | + | 16.1735i | −0.216194 | + | 0.657005i | ||||
\(607\) | 30.0411i | 1.21933i | 0.792658 | + | 0.609666i | \(0.208696\pi\) | ||||
−0.792658 | + | 0.609666i | \(0.791304\pi\) | |||||||
\(608\) | 11.5977 | + | 0.216953i | 0.470348 | + | 0.00879859i | ||||
\(609\) | −31.3565 | −1.27063 | ||||||||
\(610\) | 32.2053 | + | 10.5975i | 1.30395 | + | 0.429080i | ||||
\(611\) | 29.0506 | 1.17526 | ||||||||
\(612\) | −1.29055 | − | 0.952476i | −0.0521675 | − | 0.0385015i | ||||
\(613\) | 14.2161 | 0.574183 | 0.287091 | − | 0.957903i | \(-0.407312\pi\) | ||||
0.287091 | + | 0.957903i | \(0.407312\pi\) | |||||||
\(614\) | 13.3442 | − | 40.5525i | 0.538529 | − | 1.63657i | ||||
\(615\) | 0.0971030 | 0.00391557 | ||||||||
\(616\) | 18.4040 | + | 25.9382i | 0.741519 | + | 1.04508i | ||||
\(617\) | −15.1626 | −0.610422 | −0.305211 | − | 0.952285i | \(-0.598727\pi\) | ||||
−0.305211 | + | 0.952285i | \(0.598727\pi\) | |||||||
\(618\) | 0.346705 | − | 1.05362i | 0.0139465 | − | 0.0423828i | ||||
\(619\) | − | 25.2680i | − | 1.01561i | −0.861473 | − | 0.507803i | \(-0.830458\pi\) | ||
0.861473 | − | 0.507803i | \(-0.169542\pi\) | |||||||
\(620\) | 6.88883 | − | 9.33400i | 0.276662 | − | 0.374862i | ||||
\(621\) | 7.41079i | 0.297385i | ||||||||
\(622\) | 5.08516 | + | 1.67333i | 0.203896 | + | 0.0670943i | ||||
\(623\) | −55.6371 | −2.22905 | ||||||||
\(624\) | −23.9312 | + | 7.38171i | −0.958015 | + | 0.295505i | ||||
\(625\) | −25.7571 | −1.03028 | ||||||||
\(626\) | −1.20799 | + | 3.67103i | −0.0482811 | + | 0.146724i | ||||
\(627\) | − | 4.63468i | − | 0.185091i | ||||||
\(628\) | −1.72183 | − | 1.27078i | −0.0687087 | − | 0.0507095i | ||||
\(629\) | 8.48936 | 0.338493 | ||||||||
\(630\) | −4.99374 | + | 15.1757i | −0.198955 | + | 0.604616i | ||||
\(631\) | 21.9479 | 0.873730 | 0.436865 | − | 0.899527i | \(-0.356089\pi\) | ||||
0.436865 | + | 0.899527i | \(0.356089\pi\) | |||||||
\(632\) | 2.67439 | + | 3.76923i | 0.106382 | + | 0.149932i | ||||
\(633\) | 4.80215i | 0.190868i | ||||||||
\(634\) | 30.6018 | + | 10.0698i | 1.21535 | + | 0.399925i | ||||
\(635\) | −6.16243 | −0.244549 | ||||||||
\(636\) | −7.77041 | + | 10.5285i | −0.308117 | + | 0.417482i | ||||
\(637\) | − | 111.134i | − | 4.40329i | ||||||
\(638\) | 19.1370 | + | 6.29723i | 0.757640 | + | 0.249310i | ||||
\(639\) | − | 4.26791i | − | 0.168836i | ||||||
\(640\) | 20.3816 | + | 15.6396i | 0.805655 | + | 0.618208i | ||||
\(641\) | 3.44266i | 0.135977i | 0.997686 | + | 0.0679884i | \(0.0216581\pi\) | ||||
−0.997686 | + | 0.0679884i | \(0.978342\pi\) | |||||||
\(642\) | 3.57469 | − | 10.8633i | 0.141082 | − | 0.428741i | ||||
\(643\) | 15.5927i | 0.614917i | 0.951561 | + | 0.307459i | \(0.0994785\pi\) | ||||
−0.951561 | + | 0.307459i | \(0.900521\pi\) | |||||||
\(644\) | −43.7866 | + | 59.3285i | −1.72543 | + | 2.33787i | ||||
\(645\) | 0.277578i | 0.0109296i | ||||||||
\(646\) | −0.726953 | + | 2.20918i | −0.0286016 | + | 0.0869189i | ||||
\(647\) | 40.7155 | 1.60069 | 0.800345 | − | 0.599540i | \(-0.204650\pi\) | ||||
0.800345 | + | 0.599540i | \(0.204650\pi\) | |||||||
\(648\) | 1.63672 | + | 2.30676i | 0.0642966 | + | 0.0906180i | ||||
\(649\) | − | 10.7897i | − | 0.423534i | ||||||
\(650\) | −0.432594 | + | 1.31463i | −0.0169677 | + | 0.0515642i | ||||
\(651\) | 12.7081 | 0.498070 | ||||||||
\(652\) | −14.9275 | + | 20.2259i | −0.584605 | + | 0.792109i | ||||
\(653\) | 24.0731i | 0.942053i | 0.882119 | + | 0.471026i | \(0.156116\pi\) | ||||
−0.882119 | + | 0.471026i | \(0.843884\pi\) | |||||||
\(654\) | −0.255354 | + | 0.776009i | −0.00998513 | + | 0.0303443i | ||||
\(655\) | −35.9705 | −1.40548 | ||||||||
\(656\) | 0.163451 | − | 0.0504173i | 0.00638169 | − | 0.00196847i | ||||
\(657\) | 12.0198 | 0.468937 | ||||||||
\(658\) | 10.2040 | − | 31.0095i | 0.397794 | − | 1.20888i | ||||
\(659\) | − | 25.1795i | − | 0.980854i | −0.871482 | − | 0.490427i | \(-0.836841\pi\) | ||
0.871482 | − | 0.490427i | \(-0.163159\pi\) | |||||||
\(660\) | 6.09540 | − | 8.25894i | 0.237263 | − | 0.321479i | ||||
\(661\) | − | 2.99404i | − | 0.116455i | −0.998303 | − | 0.0582274i | \(-0.981455\pi\) | ||
0.998303 | − | 0.0582274i | \(-0.0185448\pi\) | |||||||
\(662\) | 40.3601 | + | 13.2809i | 1.56864 | + | 0.516177i | ||||
\(663\) | − | 5.02121i | − | 0.195008i | ||||||
\(664\) | 12.9831 | − | 9.21193i | 0.503841 | − | 0.357492i | ||||
\(665\) | 23.1650 | 0.898300 | ||||||||
\(666\) | −14.2199 | − | 4.67921i | −0.551011 | − | 0.181316i | ||||
\(667\) | 46.7091i | 1.80858i | ||||||||
\(668\) | 21.8357 | − | 29.5863i | 0.844850 | − | 1.14473i | ||||
\(669\) | − | 20.5061i | − | 0.792810i | ||||||
\(670\) | −26.2858 | + | 0.0490557i | −1.01551 | + | 0.00189519i | ||||
\(671\) | − | 23.8624i | − | 0.921199i | ||||||
\(672\) | −0.526360 | + | 28.1378i | −0.0203048 | + | 1.08544i | ||||
\(673\) | 21.4314i | 0.826118i | 0.910704 | + | 0.413059i | \(0.135540\pi\) | ||||
−0.910704 | + | 0.413059i | \(0.864460\pi\) | |||||||
\(674\) | 1.80887 | − | 5.49709i | 0.0696752 | − | 0.211740i | ||||
\(675\) | 0.156305 | 0.00601620 | ||||||||
\(676\) | −42.1601 | − | 31.1157i | −1.62154 | − | 1.19676i | ||||
\(677\) | − | 29.4225i | − | 1.13080i | −0.824818 | − | 0.565398i | \(-0.808722\pi\) | ||
0.824818 | − | 0.565398i | \(-0.191278\pi\) | |||||||
\(678\) | −1.68289 | + | 5.11423i | −0.0646310 | + | 0.196411i | ||||
\(679\) | − | 72.5478i | − | 2.78413i | ||||||
\(680\) | −4.20087 | + | 2.98066i | −0.161096 | + | 0.114303i | ||||
\(681\) | 17.8100i | 0.682482i | ||||||||
\(682\) | −7.75581 | − | 2.55213i | −0.296985 | − | 0.0977261i | ||||
\(683\) | −40.3198 | −1.54279 | −0.771396 | − | 0.636355i | \(-0.780441\pi\) | ||||
−0.771396 | + | 0.636355i | \(0.780441\pi\) | |||||||
\(684\) | 2.43533 | − | 3.29975i | 0.0931173 | − | 0.126169i | ||||
\(685\) | 14.6108 | 0.558251 | ||||||||
\(686\) | −71.8461 | − | 23.6417i | −2.74310 | − | 0.902645i | ||||
\(687\) | − | 15.6488i | − | 0.597037i | ||||||
\(688\) | 0.144123 | + | 0.467240i | 0.00549463 | + | 0.0178134i | ||||
\(689\) | −40.9636 | −1.56059 | ||||||||
\(690\) | 22.6060 | + | 7.43875i | 0.860597 | + | 0.283188i | ||||
\(691\) | 43.5969i | 1.65851i | 0.558874 | + | 0.829253i | \(0.311234\pi\) | ||||
−0.558874 | + | 0.829253i | \(0.688766\pi\) | |||||||
\(692\) | 12.0764 | + | 8.91279i | 0.459074 | + | 0.338813i | ||||
\(693\) | 11.2444 | 0.427141 | ||||||||
\(694\) | −31.7844 | − | 10.4590i | −1.20652 | − | 0.397019i | ||||
\(695\) | − | 21.5272i | − | 0.816573i | ||||||
\(696\) | 10.3160 | + | 14.5391i | 0.391027 | + | 0.551105i | ||||
\(697\) | 0.0342950i | 0.00129902i | ||||||||
\(698\) | −20.7301 | − | 6.82146i | −0.784646 | − | 0.258196i | ||||
\(699\) | 21.3398i | 0.807145i | ||||||||
\(700\) | 1.25133 | + | 0.923530i | 0.0472960 | + | 0.0349061i | ||||
\(701\) | − | 10.9225i | − | 0.412538i | −0.978495 | − | 0.206269i | \(-0.933868\pi\) | ||
0.978495 | − | 0.206269i | \(-0.0661322\pi\) | |||||||
\(702\) | −2.76762 | + | 8.41067i | −0.104457 | + | 0.317440i | ||||
\(703\) | 21.7060i | 0.818657i | ||||||||
\(704\) | 5.97206 | − | 17.0669i | 0.225081 | − | 0.643233i | ||||
\(705\) | −10.5362 | −0.396816 | ||||||||
\(706\) | 11.7221 | − | 35.6229i | 0.441167 | − | 1.34069i | ||||
\(707\) | 59.8971i | 2.25266i | ||||||||
\(708\) | 5.66956 | − | 7.68196i | 0.213075 | − | 0.288706i | ||||
\(709\) | −34.3717 | −1.29086 | −0.645428 | − | 0.763821i | \(-0.723321\pi\) | ||||
−0.645428 | + | 0.763821i | \(0.723321\pi\) | |||||||
\(710\) | −13.0189 | − | 4.28401i | −0.488591 | − | 0.160776i | ||||
\(711\) | 1.63399 | 0.0612795 | ||||||||
\(712\) | 18.3041 | + | 25.7974i | 0.685976 | + | 0.966798i | ||||
\(713\) | − | 18.9302i | − | 0.708941i | ||||||
\(714\) | −5.35980 | − | 1.76370i | −0.200585 | − | 0.0660048i | ||||
\(715\) | 32.1334 | 1.20172 | ||||||||
\(716\) | 26.0389 | + | 19.2177i | 0.973120 | + | 0.718198i | ||||
\(717\) | −14.7710 | −0.551632 | ||||||||
\(718\) | −2.36057 | + | 7.17365i | −0.0880955 | + | 0.267718i | ||||
\(719\) | − | 16.3257i | − | 0.608845i | −0.952537 | − | 0.304423i | \(-0.901536\pi\) | ||
0.952537 | − | 0.304423i | \(-0.0984635\pi\) | |||||||
\(720\) | 8.67948 | − | 2.67723i | 0.323465 | − | 0.0997745i | ||||
\(721\) | − | 3.90197i | − | 0.145317i | ||||||
\(722\) | 19.8752 | + | 6.54014i | 0.739678 | + | 0.243399i | ||||
\(723\) | −12.6074 | −0.468876 | ||||||||
\(724\) | −12.4843 | − | 9.21386i | −0.463975 | − | 0.342430i | ||||
\(725\) | 0.985169 | 0.0365883 | ||||||||
\(726\) | 7.91436 | + | 2.60430i | 0.293729 | + | 0.0966547i | ||||
\(727\) | 6.85732 | 0.254324 | 0.127162 | − | 0.991882i | \(-0.459413\pi\) | ||||
0.127162 | + | 0.991882i | \(0.459413\pi\) | |||||||
\(728\) | −71.8511 | + | 50.9808i | −2.66298 | + | 1.88947i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 12.0651 | − | 36.6654i | 0.446551 | − | 1.35705i | ||||
\(731\) | −0.0980356 | −0.00362598 | ||||||||
\(732\) | 12.5387 | − | 16.9893i | 0.463445 | − | 0.627943i | ||||
\(733\) | − | 31.1448i | − | 1.15036i | −0.818028 | − | 0.575179i | \(-0.804932\pi\) | ||
0.818028 | − | 0.575179i | \(-0.195068\pi\) | |||||||
\(734\) | 2.46604 | + | 0.811477i | 0.0910232 | + | 0.0299522i | ||||
\(735\) | 40.3066i | 1.48673i | ||||||||
\(736\) | 41.9144 | + | 0.784074i | 1.54499 | + | 0.0289014i | ||||
\(737\) | 5.81555 | + | 17.5627i | 0.214218 | + | 0.646931i | ||||
\(738\) | 0.0189029 | − | 0.0574452i | 0.000695827 | − | 0.00211459i | ||||
\(739\) | 38.9784 | 1.43384 | 0.716921 | − | 0.697154i | \(-0.245551\pi\) | ||||
0.716921 | + | 0.697154i | \(0.245551\pi\) | |||||||
\(740\) | −28.5471 | + | 38.6798i | −1.04941 | + | 1.42190i | ||||
\(741\) | 12.8385 | 0.471633 | ||||||||
\(742\) | −14.3885 | + | 43.7259i | −0.528217 | + | 1.60523i | ||||
\(743\) | 44.4828i | 1.63191i | 0.578113 | + | 0.815957i | \(0.303789\pi\) | ||||
−0.578113 | + | 0.815957i | \(0.696211\pi\) | |||||||
\(744\) | −4.18086 | − | 5.89240i | −0.153278 | − | 0.216026i | ||||
\(745\) | 5.81002i | 0.212863i | ||||||||
\(746\) | 3.19432 | − | 9.70738i | 0.116952 | − | 0.355412i | ||||
\(747\) | − | 5.62827i | − | 0.205928i | ||||||
\(748\) | 2.91691 | + | 2.15279i | 0.106653 | + | 0.0787136i | ||||
\(749\) | − | 40.2313i | − | 1.47002i | ||||||
\(750\) | −4.86197 | + | 14.7753i | −0.177534 | + | 0.539517i | ||||
\(751\) | 27.2477i | 0.994282i | 0.867670 | + | 0.497141i | \(0.165617\pi\) | ||||
−0.867670 | + | 0.497141i | \(0.834383\pi\) | |||||||
\(752\) | −17.7353 | + | 5.47055i | −0.646740 | + | 0.199491i | ||||
\(753\) | 10.5634 | 0.384953 | ||||||||
\(754\) | −17.4439 | + | 53.0111i | −0.635268 | + | 1.93055i | ||||
\(755\) | 22.0793 | 0.803546 | ||||||||
\(756\) | 8.00569 | + | 5.90849i | 0.291164 | + | 0.214890i | ||||
\(757\) | 45.2637i | 1.64514i | 0.568665 | + | 0.822569i | \(0.307460\pi\) | ||||
−0.568665 | + | 0.822569i | \(0.692540\pi\) | |||||||
\(758\) | −7.65241 | − | 2.51811i | −0.277948 | − | 0.0914617i | ||||
\(759\) | − | 16.7499i | − | 0.607982i | ||||||
\(760\) | −7.62109 | − | 10.7410i | −0.276446 | − | 0.389616i | ||||
\(761\) | 8.62710 | 0.312732 | 0.156366 | − | 0.987699i | \(-0.450022\pi\) | ||||
0.156366 | + | 0.987699i | \(0.450022\pi\) | |||||||
\(762\) | −1.19963 | + | 3.64563i | −0.0434582 | + | 0.132067i | ||||
\(763\) | 2.87387i | 0.104041i | ||||||||
\(764\) | −35.6616 | − | 26.3196i | −1.29019 | − | 0.952208i | ||||
\(765\) | 1.82111i | 0.0658425i | ||||||||
\(766\) | −7.47699 | − | 2.46038i | −0.270155 | − | 0.0888973i | ||||
\(767\) | 29.8885 | 1.07921 | ||||||||
\(768\) | 13.2199 | − | 9.01303i | 0.477031 | − | 0.325230i | ||||
\(769\) | 26.2086i | 0.945107i | 0.881302 | + | 0.472554i | \(0.156668\pi\) | ||||
−0.881302 | + | 0.472554i | \(0.843332\pi\) | |||||||
\(770\) | 11.2868 | − | 34.3002i | 0.406750 | − | 1.23609i | ||||
\(771\) | 28.7622 | 1.03585 | ||||||||
\(772\) | −3.35672 | − | 2.47738i | −0.120811 | − | 0.0891630i | ||||
\(773\) | 7.06059 | 0.253952 | 0.126976 | − | 0.991906i | \(-0.459473\pi\) | ||||
0.126976 | + | 0.991906i | \(0.459473\pi\) | |||||||
\(774\) | 0.164212 | + | 0.0540358i | 0.00590250 | + | 0.00194228i | ||||
\(775\) | −0.399268 | −0.0143421 | ||||||||
\(776\) | −33.6384 | + | 23.8676i | −1.20755 | + | 0.856797i | ||||
\(777\) | −52.6620 | −1.88924 | ||||||||
\(778\) | 14.6407 | + | 4.81769i | 0.524896 | + | 0.172723i | ||||
\(779\) | −0.0876871 | −0.00314172 | ||||||||
\(780\) | 22.8780 | + | 16.8848i | 0.819164 | + | 0.604573i | ||||
\(781\) | 9.64633i | 0.345173i | ||||||||
\(782\) | −2.62723 | + | 7.98404i | −0.0939496 | + | 0.285509i | ||||
\(783\) | 6.30284 | 0.225245 | ||||||||
\(784\) | 20.9278 | + | 67.8471i | 0.747421 | + | 2.42311i | ||||
\(785\) | 2.42970i | 0.0867197i | ||||||||
\(786\) | −7.00234 | + | 21.2798i | −0.249765 | + | 0.759025i | ||||
\(787\) | −15.4792 | −0.551774 | −0.275887 | − | 0.961190i | \(-0.588972\pi\) | ||||
−0.275887 | + | 0.961190i | \(0.588972\pi\) | |||||||
\(788\) | 12.1141 | − | 16.4140i | 0.431548 | − | 0.584725i | ||||
\(789\) | 27.1396i | 0.966196i | ||||||||
\(790\) | 1.64016 | − | 4.98436i | 0.0583541 | − | 0.177336i | ||||
\(791\) | 18.9400i | 0.673430i | ||||||||
\(792\) | −3.69932 | − | 5.21374i | −0.131450 | − | 0.185262i | ||||
\(793\) | 66.1010 | 2.34732 | ||||||||
\(794\) | 33.5778 | + | 11.0491i | 1.19163 | + | 0.392118i | ||||
\(795\) | 14.8569 | 0.526919 | ||||||||
\(796\) | 11.7831 | − | 15.9654i | 0.417640 | − | 0.565880i | ||||
\(797\) | 29.1922 | 1.03404 | 0.517020 | − | 0.855973i | \(-0.327041\pi\) | ||||
0.517020 | + | 0.855973i | \(0.327041\pi\) | |||||||
\(798\) | 4.50951 | − | 13.7042i | 0.159635 | − | 0.485123i | ||||
\(799\) | − | 3.72120i | − | 0.131646i | ||||||
\(800\) | 0.0165374 | − | 0.884043i | 0.000584685 | − | 0.0312556i | ||||
\(801\) | 11.1834 | 0.395146 | ||||||||
\(802\) | −15.2697 | + | 46.4040i | −0.539193 | + | 1.63858i | ||||
\(803\) | −27.1671 | −0.958707 | ||||||||
\(804\) | −5.08800 | + | 15.5600i | −0.179440 | + | 0.548757i | ||||
\(805\) | 83.7191 | 2.95071 | ||||||||
\(806\) | 7.06963 | − | 21.4843i | 0.249017 | − | 0.756751i | ||||
\(807\) | 26.0364 | 0.916526 | ||||||||
\(808\) | 27.7726 | − | 19.7056i | 0.977038 | − | 0.693241i | ||||
\(809\) | 4.96917i | 0.174707i | 0.996177 | + | 0.0873533i | \(0.0278409\pi\) | ||||
−0.996177 | + | 0.0873533i | \(0.972159\pi\) | |||||||
\(810\) | 1.00377 | − | 3.05042i | 0.0352690 | − | 0.107181i | ||||
\(811\) | 3.80197 | 0.133505 | 0.0667526 | − | 0.997770i | \(-0.478736\pi\) | ||||
0.0667526 | + | 0.997770i | \(0.478736\pi\) | |||||||
\(812\) | 50.4586 | + | 37.2403i | 1.77075 | + | 1.30688i | ||||
\(813\) | −22.5243 | −0.789962 | ||||||||
\(814\) | 32.1399 | + | 10.5760i | 1.12650 | + | 0.370687i | ||||
\(815\) | 28.5411 | 0.999749 | ||||||||
\(816\) | 0.945550 | + | 3.06543i | 0.0331009 | + | 0.107312i | ||||
\(817\) | − | 0.250662i | − | 0.00876955i | ||||||
\(818\) | −10.9336 | + | 33.2266i | −0.382283 | + | 1.16174i | ||||
\(819\) | 31.1481i | 1.08840i | ||||||||
\(820\) | −0.156258 | − | 0.115324i | −0.00545675 | − | 0.00402728i | ||||
\(821\) | 34.4748 | 1.20318 | 0.601589 | − | 0.798806i | \(-0.294534\pi\) | ||||
0.601589 | + | 0.798806i | \(0.294534\pi\) | |||||||
\(822\) | 2.84427 | − | 8.64361i | 0.0992054 | − | 0.301481i | ||||
\(823\) | 54.8228i | 1.91100i | 0.294989 | + | 0.955501i | \(0.404684\pi\) | ||||
−0.294989 | + | 0.955501i | \(0.595316\pi\) | |||||||
\(824\) | −1.80924 | + | 1.28372i | −0.0630278 | + | 0.0447204i | ||||
\(825\) | −0.353282 | −0.0122997 | ||||||||
\(826\) | 10.4983 | − | 31.9040i | 0.365284 | − | 1.11008i | ||||
\(827\) | − | 22.6061i | − | 0.786089i | −0.919519 | − | 0.393045i | \(-0.871422\pi\) | ||
0.919519 | − | 0.393045i | \(-0.128578\pi\) | |||||||
\(828\) | 8.80138 | − | 11.9254i | 0.305869 | − | 0.414436i | ||||
\(829\) | 18.7455 | 0.651057 | 0.325529 | − | 0.945532i | \(-0.394458\pi\) | ||||
0.325529 | + | 0.945532i | \(0.394458\pi\) | |||||||
\(830\) | −17.1686 | − | 5.64950i | −0.595930 | − | 0.196097i | ||||
\(831\) | −26.8832 | −0.932568 | ||||||||
\(832\) | 47.2768 | + | 16.5431i | 1.63903 | + | 0.573530i | ||||
\(833\) | −14.2356 | −0.493233 | ||||||||
\(834\) | −12.7353 | − | 4.19068i | −0.440986 | − | 0.145111i | ||||
\(835\) | −41.7495 | −1.44480 | ||||||||
\(836\) | −5.50434 | + | 7.45809i | −0.190372 | + | 0.257943i | ||||
\(837\) | −2.55441 | −0.0882932 | ||||||||
\(838\) | 8.89564 | − | 27.0335i | 0.307295 | − | 0.933855i | ||||
\(839\) | − | 34.9859i | − | 1.20785i | −0.797042 | − | 0.603923i | \(-0.793603\pi\) | ||
0.797042 | − | 0.603923i | \(-0.206397\pi\) | |||||||
\(840\) | 26.0593 | − | 18.4899i | 0.899130 | − | 0.637963i | ||||
\(841\) | 10.7258 | 0.369856 | ||||||||
\(842\) | −38.1480 | − | 12.5530i | −1.31467 | − | 0.432605i | ||||
\(843\) | 9.50374i | 0.327326i | ||||||||
\(844\) | 5.70324 | − | 7.72759i | 0.196314 | − | 0.265994i | ||||
\(845\) | 59.4926i | 2.04661i | ||||||||
\(846\) | −2.05107 | + | 6.23311i | −0.0705173 | + | 0.214299i | ||||
\(847\) | 29.3100 | 1.00710 | ||||||||
\(848\) | 25.0082 | − | 7.71391i | 0.858785 | − | 0.264897i | ||||
\(849\) | 30.5183i | 1.04739i | ||||||||
\(850\) | 0.168396 | + | 0.0554125i | 0.00577594 | + | 0.00190063i | ||||
\(851\) | 78.4462i | 2.68910i | ||||||||
\(852\) | −5.06875 | + | 6.86789i | −0.173653 | + | 0.235290i | ||||
\(853\) | −2.76952 | −0.0948267 | −0.0474133 | − | 0.998875i | \(-0.515098\pi\) | ||||
−0.0474133 | + | 0.998875i | \(0.515098\pi\) | |||||||
\(854\) | 23.2180 | − | 70.5583i | 0.794503 | − | 2.41446i | ||||
\(855\) | −4.65631 | −0.159242 | ||||||||
\(856\) | −18.6541 | + | 13.2357i | −0.637585 | + | 0.452388i | ||||
\(857\) | − | 17.9165i | − | 0.612018i | −0.952029 | − | 0.306009i | \(-0.901006\pi\) | ||
0.952029 | − | 0.306009i | \(-0.0989937\pi\) | |||||||
\(858\) | 6.25537 | − | 19.0098i | 0.213555 | − | 0.648984i | ||||
\(859\) | 31.7718i | 1.08404i | 0.840366 | + | 0.542019i | \(0.182340\pi\) | ||||
−0.840366 | + | 0.542019i | \(0.817660\pi\) | |||||||
\(860\) | 0.329664 | − | 0.446677i | 0.0112414 | − | 0.0152316i | ||||
\(861\) | − | 0.212742i | − | 0.00725024i | ||||||
\(862\) | −9.54766 | + | 29.0149i | −0.325195 | + | 0.988251i | ||||
\(863\) | − | 16.6456i | − | 0.566622i | −0.959028 | − | 0.283311i | \(-0.908567\pi\) | ||
0.959028 | − | 0.283311i | \(-0.0914329\pi\) | |||||||
\(864\) | 0.105802 | − | 5.65586i | 0.00359944 | − | 0.192416i | ||||
\(865\) | − | 17.0411i | − | 0.579414i | ||||||
\(866\) | 10.9742 | − | 33.3500i | 0.372918 | − | 1.13328i | ||||
\(867\) | 16.3568 | 0.555507 | ||||||||
\(868\) | −20.4498 | − | 15.0927i | −0.694111 | − | 0.512279i | ||||
\(869\) | −3.69315 | −0.125281 | ||||||||
\(870\) | 6.32662 | − | 19.2263i | 0.214492 | − | 0.651833i | ||||
\(871\) | −48.6503 | + | 16.1096i | −1.64845 | + | 0.545852i | ||||
\(872\) | 1.33254 | − | 0.945479i | 0.0451253 | − | 0.0320180i | ||||
\(873\) | 14.5826i | 0.493545i | ||||||||
\(874\) | −20.4140 | − | 6.71743i | −0.690512 | − | 0.227220i | ||||
\(875\) | 54.7188i | 1.84983i | ||||||||
\(876\) | −19.3422 | − | 14.2752i | −0.653511 | − | 0.482315i | ||||
\(877\) | 12.9320 | 0.436681 | 0.218341 | − | 0.975873i | \(-0.429936\pi\) | ||||
0.218341 | + | 0.975873i | \(0.429936\pi\) | |||||||
\(878\) | 13.3517 | − | 40.5753i | 0.450599 | − | 1.36935i | ||||
\(879\) | −27.4962 | −0.927423 | ||||||||
\(880\) | −19.6174 | + | 6.05108i | −0.661301 | + | 0.203982i | ||||
\(881\) | −10.0442 | −0.338398 | −0.169199 | − | 0.985582i | \(-0.554118\pi\) | ||||
−0.169199 | + | 0.985582i | \(0.554118\pi\) | |||||||
\(882\) | 23.8450 | + | 7.84644i | 0.802902 | + | 0.264203i | ||||
\(883\) | −44.4610 | −1.49623 | −0.748116 | − | 0.663568i | \(-0.769041\pi\) | ||||
−0.748116 | + | 0.663568i | \(0.769041\pi\) | |||||||
\(884\) | −5.96341 | + | 8.08010i | −0.200571 | + | 0.271763i | ||||
\(885\) | −10.8401 | −0.364386 | ||||||||
\(886\) | −11.0030 | − | 3.62064i | −0.369651 | − | 0.121638i | ||||
\(887\) | 20.5908i | 0.691370i | 0.938351 | + | 0.345685i | \(0.112353\pi\) | ||||
−0.938351 | + | 0.345685i | \(0.887647\pi\) | |||||||
\(888\) | 17.3254 | + | 24.4180i | 0.581401 | + | 0.819413i | ||||
\(889\) | 13.5012i | 0.452817i | ||||||||
\(890\) | 11.2256 | − | 34.1140i | 0.376282 | − | 1.14351i | ||||
\(891\) | −2.26020 | −0.0757196 | ||||||||
\(892\) | −24.3539 | + | 32.9982i | −0.815428 | + | 1.10486i | ||||
\(893\) | 9.51452 | 0.318391 | ||||||||
\(894\) | 3.43715 | + | 1.13103i | 0.114955 | + | 0.0378273i | ||||
\(895\) | − | 36.7438i | − | 1.22821i | ||||||
\(896\) | 34.2646 | − | 44.6540i | 1.14470 | − | 1.49178i | ||||
\(897\) | 46.3986 | 1.54921 | ||||||||
\(898\) | −26.7716 | − | 8.80949i | −0.893381 | − | 0.293977i | ||||
\(899\) | −16.1000 | −0.536966 | ||||||||
\(900\) | −0.251526 | − | 0.185635i | −0.00838419 | − | 0.00618784i | ||||
\(901\) | 5.24718i | 0.174809i | ||||||||
\(902\) | −0.0427244 | + | 0.129838i | −0.00142257 | + | 0.00432312i | ||||
\(903\) | 0.608144 | 0.0202378 | ||||||||
\(904\) | 8.78197 | − | 6.23111i | 0.292084 | − | 0.207243i | ||||
\(905\) | 17.6167i | 0.585600i | ||||||||
\(906\) | 4.29814 | − | 13.0619i | 0.142796 | − | 0.433951i | ||||
\(907\) | − | 14.2070i | − | 0.471736i | −0.971785 | − | 0.235868i | \(-0.924207\pi\) | ||
0.971785 | − | 0.235868i | \(-0.0757932\pi\) | |||||||
\(908\) | 21.1520 | − | 28.6598i | 0.701953 | − | 0.951109i | ||||
\(909\) | − | 12.0397i | − | 0.399331i | ||||||
\(910\) | 95.0146 | + | 31.2656i | 3.14970 | + | 1.03644i | ||||
\(911\) | − | 11.4705i | − | 0.380035i | −0.981781 | − | 0.190018i | \(-0.939146\pi\) | ||
0.981781 | − | 0.190018i | \(-0.0608545\pi\) | |||||||
\(912\) | −7.83784 | + | 2.41762i | −0.259537 | + | 0.0800556i | ||||
\(913\) | 12.7210i | 0.421004i | ||||||||
\(914\) | 14.3784 | + | 4.73138i | 0.475597 | + | 0.156500i | ||||
\(915\) | −23.9738 | −0.792550 | ||||||||
\(916\) | −18.5851 | + | 25.1819i | −0.614070 | + | 0.832033i | ||||
\(917\) | 78.8076i | 2.60246i | ||||||||
\(918\) | 1.07735 | + | 0.354514i | 0.0355579 | + | 0.0117007i | ||||
\(919\) | −11.3800 | −0.375392 | −0.187696 | − | 0.982227i | \(-0.560102\pi\) | ||||
−0.187696 | + | 0.982227i | \(0.560102\pi\) | |||||||
\(920\) | −27.5429 | − | 38.8183i | −0.908062 | − | 1.27980i | ||||
\(921\) | 30.1875i | 0.994712i | ||||||||
\(922\) | −6.98751 | − | 2.29931i | −0.230121 | − | 0.0757239i | ||||
\(923\) | −26.7212 | −0.879539 | ||||||||
\(924\) | −18.0945 | − | 13.3544i | −0.595264 | − | 0.439327i | ||||
\(925\) | 1.65456 | 0.0544014 | ||||||||
\(926\) | 18.2479 | + | 6.00466i | 0.599663 | + | 0.197326i | ||||
\(927\) | 0.784321i | 0.0257605i | ||||||||
\(928\) | 0.666851 | − | 35.6480i | 0.0218905 | − | 1.17020i | ||||
\(929\) | 0.611378i | 0.0200586i | 0.999950 | + | 0.0100293i | \(0.00319249\pi\) | ||||
−0.999950 | + | 0.0100293i | \(0.996808\pi\) | |||||||
\(930\) | −2.56404 | + | 7.79201i | −0.0840783 | + | 0.255510i | ||||
\(931\) | − | 36.3981i | − | 1.19290i | ||||||
\(932\) | 25.3440 | − | 34.3398i | 0.830172 | − | 1.12484i | ||||
\(933\) | −3.78543 | −0.123929 | ||||||||
\(934\) | −8.91390 | + | 27.0889i | −0.291672 | + | 0.886377i | ||||
\(935\) | − | 4.11608i | − | 0.134610i | ||||||
\(936\) | 14.4425 | − | 10.2475i | 0.472068 | − | 0.334948i | ||||
\(937\) | − | 15.4345i | − | 0.504223i | −0.967698 | − | 0.252111i | \(-0.918875\pi\) | ||
0.967698 | − | 0.252111i | \(-0.0811249\pi\) | |||||||
\(938\) | 0.107476 | + | 57.5894i | 0.00350921 | + | 1.88036i | ||||
\(939\) | − | 2.73274i | − | 0.0891795i | ||||||
\(940\) | 16.9548 | + | 12.5132i | 0.553004 | + | 0.408137i | ||||
\(941\) | 54.1333i | 1.76470i | 0.470597 | + | 0.882348i | \(0.344039\pi\) | ||||
−0.470597 | + | 0.882348i | \(0.655961\pi\) | |||||||
\(942\) | 1.43739 | + | 0.472987i | 0.0468326 | + | 0.0154107i | ||||
\(943\) | −0.316904 | −0.0103198 | ||||||||
\(944\) | −18.2469 | + | 5.62834i | −0.593885 | + | 0.183187i | ||||
\(945\) | − | 11.2969i | − | 0.367489i | ||||||
\(946\) | −0.371153 | − | 0.122132i | −0.0120672 | − | 0.00397085i | ||||
\(947\) | 34.7940i | 1.13065i | 0.824868 | + | 0.565326i | \(0.191250\pi\) | ||||
−0.824868 | + | 0.565326i | \(0.808750\pi\) | |||||||
\(948\) | −2.62941 | − | 1.94060i | −0.0853992 | − | 0.0630277i | ||||
\(949\) | − | 75.2554i | − | 2.44289i | ||||||
\(950\) | −0.141681 | + | 0.430563i | −0.00459675 | + | 0.0139693i | ||||
\(951\) | −22.7802 | −0.738698 | ||||||||
\(952\) | 6.53031 | + | 9.20366i | 0.211649 | + | 0.298292i | ||||
\(953\) | −11.3366 | −0.367230 | −0.183615 | − | 0.982998i | \(-0.558780\pi\) | ||||
−0.183615 | + | 0.982998i | \(0.558780\pi\) | |||||||
\(954\) | 2.89217 | − | 8.78917i | 0.0936375 | − | 0.284560i | ||||
\(955\) | 50.3225i | 1.62840i | ||||||||
\(956\) | 23.7693 | + | 17.5426i | 0.768756 | + | 0.567370i | ||||
\(957\) | −14.2457 | −0.460498 | ||||||||
\(958\) | 0.505162 | − | 1.53517i | 0.0163211 | − | 0.0495989i | ||||
\(959\) | − | 32.0108i | − | 1.03368i | ||||||
\(960\) | −17.1466 | − | 5.99994i | −0.553403 | − | 0.193647i | ||||
\(961\) | −24.4750 | −0.789516 | ||||||||
\(962\) | −29.2963 | + | 89.0303i | −0.944552 | + | 2.87045i | ||||
\(963\) | 8.08673i | 0.260591i | ||||||||
\(964\) | 20.2878 | + | 14.9731i | 0.653426 | + | 0.482252i | ||||
\(965\) | 4.73671i | 0.152480i | ||||||||
\(966\) | 16.2975 | − | 49.5274i | 0.524364 | − | 1.59352i | ||||
\(967\) | − | 40.2988i | − | 1.29592i | −0.761674 | − | 0.647961i | \(-0.775622\pi\) | ||
0.761674 | − | 0.647961i | \(-0.224378\pi\) | |||||||
\(968\) | −9.64275 | − | 13.5903i | −0.309930 | − | 0.436807i | ||||
\(969\) | − | 1.64452i | − | 0.0528297i | ||||||
\(970\) | 44.4829 | + | 14.6376i | 1.42826 | + | 0.469984i | ||||
\(971\) | − | 18.4758i | − | 0.592918i | −0.955046 | − | 0.296459i | \(-0.904194\pi\) | ||
0.955046 | − | 0.296459i | \(-0.0958057\pi\) | |||||||
\(972\) | −1.60919 | − | 1.18764i | −0.0516149 | − | 0.0380937i | ||||
\(973\) | −47.1638 | −1.51200 | ||||||||
\(974\) | 2.15698 | + | 0.709776i | 0.0691140 | + | 0.0227427i | ||||
\(975\) | − | 0.978621i | − | 0.0313410i | ||||||
\(976\) | −40.3545 | + | 12.4476i | −1.29172 | + | 0.398437i | ||||
\(977\) | −51.1524 | −1.63651 | −0.818255 | − | 0.574856i | \(-0.805058\pi\) | ||||
−0.818255 | + | 0.574856i | \(0.805058\pi\) | |||||||
\(978\) | 5.55606 | − | 16.8846i | 0.177663 | − | 0.539910i | ||||
\(979\) | −25.2767 | −0.807847 | ||||||||
\(980\) | 47.8699 | − | 64.8611i | 1.52915 | − | 2.07191i | ||||
\(981\) | − | 0.577666i | − | 0.0184434i | ||||||
\(982\) | −5.83810 | + | 17.7417i | −0.186301 | + | 0.566161i | ||||
\(983\) | 43.9724 | 1.40250 | 0.701251 | − | 0.712915i | \(-0.252625\pi\) | ||||
0.701251 | + | 0.712915i | \(0.252625\pi\) | |||||||
\(984\) | −0.0986429 | + | 0.0699904i | −0.00314462 | + | 0.00223121i | ||||
\(985\) | −23.1620 | −0.738002 | ||||||||
\(986\) | 6.79038 | + | 2.23445i | 0.216250 | + | 0.0711593i | ||||
\(987\) | 23.0837i | 0.734762i | ||||||||
\(988\) | −20.6596 | − | 15.2475i | −0.657268 | − | 0.485088i | ||||
\(989\) | − | 0.905901i | − | 0.0288060i | ||||||
\(990\) | −2.26873 | + | 6.89456i | −0.0721049 | + | 0.219123i | ||||
\(991\) | 6.25879 | 0.198817 | 0.0994086 | − | 0.995047i | \(-0.468305\pi\) | ||||
0.0994086 | + | 0.995047i | \(0.468305\pi\) | |||||||
\(992\) | −0.270260 | + | 14.4474i | −0.00858078 | + | 0.458705i | ||||
\(993\) | −30.0443 | −0.953427 | ||||||||
\(994\) | −9.38581 | + | 28.5231i | −0.297700 | + | 0.904696i | ||||
\(995\) | −22.5290 | −0.714218 | ||||||||
\(996\) | −6.68438 | + | 9.05698i | −0.211803 | + | 0.286981i | ||||
\(997\) | −27.5442 | −0.872335 | −0.436168 | − | 0.899865i | \(-0.643665\pi\) | ||||
−0.436168 | + | 0.899865i | \(0.643665\pi\) | |||||||
\(998\) | −12.0830 | − | 3.97605i | −0.382482 | − | 0.125860i | ||||
\(999\) | 10.5854 | 0.334907 |
(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 | 804.2.e.a.535.30 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.6 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.5 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.29 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.29 | ✓ | 34 | 268.267 | even | 2 | inner | |
804.2.e.a.535.30 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.5 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.6 | yes | 34 | 4.3 | odd | 2 |