Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(27,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.x (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 27.4 | ||
Character | \(\chi\) | \(=\) | 224.27 |
Dual form | 224.2.x.b.83.4 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36868 | + | 0.355955i | −0.967806 | + | 0.251698i | ||||
\(3\) | 1.01638 | + | 2.45376i | 0.586809 | + | 1.41668i | 0.886538 | + | 0.462657i | \(0.153104\pi\) |
−0.299729 | + | 0.954024i | \(0.596896\pi\) | |||||||
\(4\) | 1.74659 | − | 0.974380i | 0.873296 | − | 0.487190i | ||||
\(5\) | −1.11188 | + | 2.68430i | −0.497246 | + | 1.20046i | 0.453715 | + | 0.891147i | \(0.350098\pi\) |
−0.950961 | + | 0.309311i | \(0.899902\pi\) | |||||||
\(6\) | −2.26454 | − | 2.99664i | −0.924493 | − | 1.22337i | ||||
\(7\) | 2.64539 | − | 0.0435134i | 0.999865 | − | 0.0164465i | ||||
\(8\) | −2.04370 | + | 1.95533i | −0.722556 | + | 0.691312i | ||||
\(9\) | −2.86660 | + | 2.86660i | −0.955534 | + | 0.955534i | ||||
\(10\) | 0.566314 | − | 4.06974i | 0.179084 | − | 1.28697i | ||||
\(11\) | 1.44195 | + | 0.597277i | 0.434765 | + | 0.180086i | 0.589322 | − | 0.807898i | \(-0.299395\pi\) |
−0.154557 | + | 0.987984i | \(0.549395\pi\) | |||||||
\(12\) | 4.16610 | + | 3.29538i | 1.20265 | + | 0.951295i | ||||
\(13\) | −1.41757 | − | 3.42231i | −0.393163 | − | 0.949179i | −0.989247 | − | 0.146257i | \(-0.953277\pi\) |
0.596084 | − | 0.802922i | \(-0.296723\pi\) | |||||||
\(14\) | −3.60522 | + | 1.00120i | −0.963535 | + | 0.267581i | ||||
\(15\) | −7.71674 | −1.99245 | ||||||||
\(16\) | 2.10117 | − | 3.40369i | 0.525292 | − | 0.850922i | ||||
\(17\) | 2.54645 | 0.617604 | 0.308802 | − | 0.951126i | \(-0.400072\pi\) | ||||
0.308802 | + | 0.951126i | \(0.400072\pi\) | |||||||
\(18\) | 2.90309 | − | 4.94386i | 0.684265 | − | 1.16528i | ||||
\(19\) | −1.94460 | + | 0.805480i | −0.446122 | + | 0.184790i | −0.594423 | − | 0.804152i | \(-0.702620\pi\) |
0.148301 | + | 0.988942i | \(0.452620\pi\) | |||||||
\(20\) | 0.673541 | + | 5.77177i | 0.150608 | + | 1.29061i | ||||
\(21\) | 2.79550 | + | 6.44694i | 0.610029 | + | 1.40684i | ||||
\(22\) | −2.18618 | − | 0.304212i | −0.466096 | − | 0.0648583i | ||||
\(23\) | −6.51022 | − | 6.51022i | −1.35748 | − | 1.35748i | −0.877018 | − | 0.480458i | \(-0.840471\pi\) |
−0.480458 | − | 0.877018i | \(-0.659529\pi\) | |||||||
\(24\) | −6.87509 | − | 3.02739i | −1.40337 | − | 0.617963i | ||||
\(25\) | −2.43369 | − | 2.43369i | −0.486738 | − | 0.486738i | ||||
\(26\) | 3.15839 | + | 4.17947i | 0.619412 | + | 0.819662i | ||||
\(27\) | −2.58624 | − | 1.07126i | −0.497722 | − | 0.206163i | ||||
\(28\) | 4.57802 | − | 2.65362i | 0.865165 | − | 0.501487i | ||||
\(29\) | 2.87982 | + | 6.95251i | 0.534770 | + | 1.29105i | 0.928333 | + | 0.371751i | \(0.121242\pi\) |
−0.393563 | + | 0.919298i | \(0.628758\pi\) | |||||||
\(30\) | 10.5618 | − | 2.74681i | 1.92831 | − | 0.501497i | ||||
\(31\) | −3.98396 | −0.715540 | −0.357770 | − | 0.933810i | \(-0.616463\pi\) | ||||
−0.357770 | + | 0.933810i | \(0.616463\pi\) | |||||||
\(32\) | −1.66427 | + | 5.40650i | −0.294205 | + | 0.955742i | ||||
\(33\) | 4.14527i | 0.721600i | ||||||||
\(34\) | −3.48528 | + | 0.906421i | −0.597721 | + | 0.155450i | ||||
\(35\) | −2.82454 | + | 7.14942i | −0.477435 | + | 1.20847i | ||||
\(36\) | −2.21362 | + | 7.79995i | −0.368937 | + | 1.29999i | ||||
\(37\) | 6.26182 | + | 2.59373i | 1.02944 | + | 0.426407i | 0.832509 | − | 0.554011i | \(-0.186903\pi\) |
0.196928 | + | 0.980418i | \(0.436903\pi\) | |||||||
\(38\) | 2.37483 | − | 1.79464i | 0.385248 | − | 0.291129i | ||||
\(39\) | 6.95676 | − | 6.95676i | 1.11397 | − | 1.11397i | ||||
\(40\) | −2.97636 | − | 7.65998i | −0.470603 | − | 1.21115i | ||||
\(41\) | 1.24468 | + | 1.24468i | 0.194386 | + | 0.194386i | 0.797588 | − | 0.603202i | \(-0.206109\pi\) |
−0.603202 | + | 0.797588i | \(0.706109\pi\) | |||||||
\(42\) | −6.12098 | − | 7.82876i | −0.944488 | − | 1.20800i | ||||
\(43\) | 0.455327 | + | 0.188603i | 0.0694367 | + | 0.0287616i | 0.417131 | − | 0.908846i | \(-0.363035\pi\) |
−0.347695 | + | 0.937608i | \(0.613035\pi\) | |||||||
\(44\) | 3.10048 | − | 0.361812i | 0.467415 | − | 0.0545452i | ||||
\(45\) | −4.50753 | − | 10.8821i | −0.671943 | − | 1.62221i | ||||
\(46\) | 11.2278 | + | 6.59309i | 1.65545 | + | 0.972098i | ||||
\(47\) | − | 11.5542i | − | 1.68536i | −0.538418 | − | 0.842678i | \(-0.680978\pi\) | ||
0.538418 | − | 0.842678i | \(-0.319022\pi\) | |||||||
\(48\) | 10.4874 | + | 1.69632i | 1.51373 | + | 0.244842i | ||||
\(49\) | 6.99621 | − | 0.230220i | 0.999459 | − | 0.0328886i | ||||
\(50\) | 4.19724 | + | 2.46467i | 0.593579 | + | 0.348557i | ||||
\(51\) | 2.58816 | + | 6.24838i | 0.362416 | + | 0.874949i | ||||
\(52\) | −5.81055 | − | 4.59613i | −0.805778 | − | 0.637369i | ||||
\(53\) | 5.01182 | − | 12.0996i | 0.688426 | − | 1.66201i | −0.0595011 | − | 0.998228i | \(-0.518951\pi\) |
0.747928 | − | 0.663780i | \(-0.231049\pi\) | |||||||
\(54\) | 3.92106 | + | 0.545625i | 0.533589 | + | 0.0742502i | ||||
\(55\) | −3.20654 | + | 3.20654i | −0.432370 | + | 0.432370i | ||||
\(56\) | −5.32130 | + | 5.26154i | −0.711089 | + | 0.703102i | ||||
\(57\) | −3.95291 | − | 3.95291i | −0.523576 | − | 0.523576i | ||||
\(58\) | −6.41635 | − | 8.49070i | −0.842508 | − | 1.11488i | ||||
\(59\) | 8.98416 | + | 3.72136i | 1.16964 | + | 0.484480i | 0.881073 | − | 0.472980i | \(-0.156822\pi\) |
0.288565 | + | 0.957460i | \(0.406822\pi\) | |||||||
\(60\) | −13.4780 | + | 7.51904i | −1.74000 | + | 0.970704i | ||||
\(61\) | −5.57916 | + | 2.31096i | −0.714338 | + | 0.295888i | −0.710098 | − | 0.704103i | \(-0.751349\pi\) |
−0.00423949 | + | 0.999991i | \(0.501349\pi\) | |||||||
\(62\) | 5.45278 | − | 1.41811i | 0.692504 | − | 0.180100i | ||||
\(63\) | −7.45856 | + | 7.70803i | −0.939690 | + | 0.971120i | ||||
\(64\) | 0.353393 | − | 7.99219i | 0.0441742 | − | 0.999024i | ||||
\(65\) | 10.7627 | 1.33495 | ||||||||
\(66\) | −1.47553 | − | 5.67357i | −0.181625 | − | 0.698368i | ||||
\(67\) | 4.31852 | − | 1.78879i | 0.527591 | − | 0.218535i | −0.102957 | − | 0.994686i | \(-0.532830\pi\) |
0.630548 | + | 0.776151i | \(0.282830\pi\) | |||||||
\(68\) | 4.44761 | − | 2.48121i | 0.539351 | − | 0.300891i | ||||
\(69\) | 9.35768 | − | 22.5914i | 1.12653 | − | 2.71969i | ||||
\(70\) | 1.32104 | − | 10.7907i | 0.157894 | − | 1.28974i | ||||
\(71\) | −1.46443 | + | 1.46443i | −0.173796 | + | 0.173796i | −0.788645 | − | 0.614849i | \(-0.789217\pi\) |
0.614849 | + | 0.788645i | \(0.289217\pi\) | |||||||
\(72\) | 0.253321 | − | 11.4636i | 0.0298542 | − | 1.35100i | ||||
\(73\) | 6.10360 | + | 6.10360i | 0.714372 | + | 0.714372i | 0.967447 | − | 0.253075i | \(-0.0814418\pi\) |
−0.253075 | + | 0.967447i | \(0.581442\pi\) | |||||||
\(74\) | −9.49371 | − | 1.32107i | −1.10362 | − | 0.153571i | ||||
\(75\) | 3.49814 | − | 8.44526i | 0.403930 | − | 0.975174i | ||||
\(76\) | −2.61158 | + | 3.30162i | −0.299569 | + | 0.378722i | ||||
\(77\) | 3.84052 | + | 1.51729i | 0.437668 | + | 0.172911i | ||||
\(78\) | −7.04531 | + | 11.9979i | −0.797724 | + | 1.35849i | ||||
\(79\) | 10.3715 | 1.16688 | 0.583441 | − | 0.812156i | \(-0.301706\pi\) | ||||
0.583441 | + | 0.812156i | \(0.301706\pi\) | |||||||
\(80\) | 6.80030 | + | 9.42465i | 0.760297 | + | 1.05371i | ||||
\(81\) | 4.72714i | 0.525238i | ||||||||
\(82\) | −2.14662 | − | 1.26052i | −0.237055 | − | 0.139202i | ||||
\(83\) | −11.1362 | + | 4.61276i | −1.22235 | + | 0.506316i | −0.898157 | − | 0.439674i | \(-0.855094\pi\) |
−0.324197 | + | 0.945990i | \(0.605094\pi\) | |||||||
\(84\) | 11.1644 | + | 8.53630i | 1.21813 | + | 0.931386i | ||||
\(85\) | −2.83133 | + | 6.83544i | −0.307101 | + | 0.741408i | ||||
\(86\) | −0.690333 | − | 0.0960614i | −0.0744405 | − | 0.0103586i | ||||
\(87\) | −14.1328 | + | 14.1328i | −1.51520 | + | 1.51520i | ||||
\(88\) | −4.11479 | + | 1.59884i | −0.438638 | + | 0.170437i | ||||
\(89\) | −1.98481 | + | 1.98481i | −0.210390 | + | 0.210390i | −0.804433 | − | 0.594043i | \(-0.797531\pi\) |
0.594043 | + | 0.804433i | \(0.297531\pi\) | |||||||
\(90\) | 10.0429 | + | 13.2897i | 1.05862 | + | 1.40086i | ||||
\(91\) | −3.89894 | − | 8.99168i | −0.408720 | − | 0.942584i | ||||
\(92\) | −17.7141 | − | 5.02727i | −1.84683 | − | 0.524129i | ||||
\(93\) | −4.04922 | − | 9.77569i | −0.419885 | − | 1.01369i | ||||
\(94\) | 4.11278 | + | 15.8141i | 0.424201 | + | 1.63110i | ||||
\(95\) | − | 6.11549i | − | 0.627436i | ||||||
\(96\) | −14.9578 | + | 1.41133i | −1.52662 | + | 0.144044i | ||||
\(97\) | 2.83003i | 0.287346i | 0.989625 | + | 0.143673i | \(0.0458914\pi\) | ||||
−0.989625 | + | 0.143673i | \(0.954109\pi\) | |||||||
\(98\) | −9.49366 | + | 2.80544i | −0.959004 | + | 0.283392i | ||||
\(99\) | −5.84566 | + | 2.42135i | −0.587511 | + | 0.243355i | ||||
\(100\) | −6.62200 | − | 1.87932i | −0.662200 | − | 0.187932i | ||||
\(101\) | −3.19363 | + | 7.71009i | −0.317778 | + | 0.767183i | 0.681594 | + | 0.731731i | \(0.261287\pi\) |
−0.999371 | + | 0.0354522i | \(0.988713\pi\) | |||||||
\(102\) | −5.76652 | − | 7.63079i | −0.570971 | − | 0.755561i | ||||
\(103\) | −2.33186 | − | 2.33186i | −0.229765 | − | 0.229765i | 0.582830 | − | 0.812594i | \(-0.301945\pi\) |
−0.812594 | + | 0.582830i | \(0.801945\pi\) | |||||||
\(104\) | 9.58882 | + | 4.22236i | 0.940261 | + | 0.414036i | ||||
\(105\) | −20.4138 | + | 0.335781i | −1.99218 | + | 0.0327689i | ||||
\(106\) | −2.55268 | + | 18.3445i | −0.247938 | + | 1.78178i | ||||
\(107\) | −3.03494 | − | 1.25711i | −0.293398 | − | 0.121530i | 0.231129 | − | 0.972923i | \(-0.425758\pi\) |
−0.524527 | + | 0.851394i | \(0.675758\pi\) | |||||||
\(108\) | −5.56091 | + | 0.648934i | −0.535099 | + | 0.0624437i | ||||
\(109\) | 0.155030 | − | 0.0642157i | 0.0148492 | − | 0.00615075i | −0.375246 | − | 0.926925i | \(-0.622442\pi\) |
0.390096 | + | 0.920774i | \(0.372442\pi\) | |||||||
\(110\) | 3.24736 | − | 5.53013i | 0.309624 | − | 0.527277i | ||||
\(111\) | 18.0013i | 1.70860i | ||||||||
\(112\) | 5.41031 | − | 9.09553i | 0.511226 | − | 0.859446i | ||||
\(113\) | − | 2.84861i | − | 0.267975i | −0.990983 | − | 0.133987i | \(-0.957222\pi\) | ||
0.990983 | − | 0.133987i | \(-0.0427781\pi\) | |||||||
\(114\) | 6.81735 | + | 4.00323i | 0.638503 | + | 0.374937i | ||||
\(115\) | 24.7140 | − | 10.2369i | 2.30459 | − | 0.954593i | ||||
\(116\) | 11.8043 | + | 9.33715i | 1.09600 | + | 0.866933i | ||||
\(117\) | 13.8740 | + | 5.74681i | 1.28265 | + | 0.531292i | ||||
\(118\) | −13.6211 | − | 1.89541i | −1.25392 | − | 0.174487i | ||||
\(119\) | 6.73636 | − | 0.110805i | 0.617521 | − | 0.0101574i | ||||
\(120\) | 15.7707 | − | 15.0887i | 1.43966 | − | 1.37741i | ||||
\(121\) | −6.05568 | − | 6.05568i | −0.550517 | − | 0.550517i | ||||
\(122\) | 6.81350 | − | 5.14891i | 0.616866 | − | 0.466160i | ||||
\(123\) | −1.78908 | + | 4.31922i | −0.161316 | + | 0.389451i | ||||
\(124\) | −6.95835 | + | 3.88189i | −0.624878 | + | 0.348604i | ||||
\(125\) | −4.18280 | + | 1.73257i | −0.374121 | + | 0.154966i | ||||
\(126\) | 7.46470 | − | 13.2048i | 0.665008 | − | 1.17637i | ||||
\(127\) | − | 0.210031i | − | 0.0186372i | −0.999957 | − | 0.00931862i | \(-0.997034\pi\) | ||
0.999957 | − | 0.00931862i | \(-0.00296625\pi\) | |||||||
\(128\) | 2.36118 | + | 11.0646i | 0.208701 | + | 0.977980i | ||||
\(129\) | 1.30896i | 0.115247i | ||||||||
\(130\) | −14.7307 | + | 3.83103i | −1.29197 | + | 0.336004i | ||||
\(131\) | −1.90334 | − | 4.59506i | −0.166295 | − | 0.401473i | 0.818661 | − | 0.574278i | \(-0.194717\pi\) |
−0.984956 | + | 0.172805i | \(0.944717\pi\) | |||||||
\(132\) | 4.03907 | + | 7.24010i | 0.351556 | + | 0.630170i | ||||
\(133\) | −5.10918 | + | 2.21543i | −0.443022 | + | 0.192102i | ||||
\(134\) | −5.27395 | + | 3.98548i | −0.455600 | + | 0.344293i | ||||
\(135\) | 5.75115 | − | 5.75115i | 0.494980 | − | 0.494980i | ||||
\(136\) | −5.20417 | + | 4.97914i | −0.446254 | + | 0.426958i | ||||
\(137\) | 1.73401 | − | 1.73401i | 0.148146 | − | 0.148146i | −0.629143 | − | 0.777289i | \(-0.716594\pi\) |
0.777289 | + | 0.629143i | \(0.216594\pi\) | |||||||
\(138\) | −4.76617 | + | 34.2514i | −0.405723 | + | 2.91568i | ||||
\(139\) | 7.45866 | − | 18.0068i | 0.632635 | − | 1.52732i | −0.203662 | − | 0.979041i | \(-0.565284\pi\) |
0.836298 | − | 0.548276i | \(-0.184716\pi\) | |||||||
\(140\) | 2.03293 | + | 15.2393i | 0.171814 | + | 1.28796i | ||||
\(141\) | 28.3513 | − | 11.7435i | 2.38761 | − | 0.988981i | ||||
\(142\) | 1.48307 | − | 2.52562i | 0.124457 | − | 0.211945i | ||||
\(143\) | − | 5.78150i | − | 0.483473i | ||||||
\(144\) | 3.73381 | + | 15.7802i | 0.311151 | + | 1.31502i | ||||
\(145\) | −21.8647 | −1.81576 | ||||||||
\(146\) | −10.5265 | − | 6.18129i | −0.871180 | − | 0.511567i | ||||
\(147\) | 7.67573 | + | 16.9331i | 0.633084 | + | 1.39662i | ||||
\(148\) | 13.4641 | − | 1.57120i | 1.10674 | − | 0.129152i | ||||
\(149\) | −2.82390 | + | 6.81750i | −0.231343 | + | 0.558511i | −0.996336 | − | 0.0855276i | \(-0.972742\pi\) |
0.764993 | + | 0.644039i | \(0.222742\pi\) | |||||||
\(150\) | −1.78172 | + | 12.8041i | −0.145476 | + | 1.04545i | ||||
\(151\) | −4.18735 | − | 4.18735i | −0.340762 | − | 0.340762i | 0.515892 | − | 0.856654i | \(-0.327461\pi\) |
−0.856654 | + | 0.515892i | \(0.827461\pi\) | |||||||
\(152\) | 2.39920 | − | 5.44849i | 0.194601 | − | 0.441931i | ||||
\(153\) | −7.29966 | + | 7.29966i | −0.590142 | + | 0.590142i | ||||
\(154\) | −5.79655 | − | 0.709633i | −0.467099 | − | 0.0571839i | ||||
\(155\) | 4.42966 | − | 10.6942i | 0.355799 | − | 0.858975i | ||||
\(156\) | 5.37209 | − | 18.9291i | 0.430111 | − | 1.51554i | ||||
\(157\) | 0.672912 | − | 0.278729i | 0.0537042 | − | 0.0222450i | −0.355670 | − | 0.934612i | \(-0.615747\pi\) |
0.409374 | + | 0.912367i | \(0.365747\pi\) | |||||||
\(158\) | −14.1953 | + | 3.69178i | −1.12931 | + | 0.293702i | ||||
\(159\) | 34.7835 | 2.75851 | ||||||||
\(160\) | −12.6622 | − | 10.4788i | −1.00104 | − | 0.828419i | ||||
\(161\) | −17.5054 | − | 16.9388i | −1.37962 | − | 1.33497i | ||||
\(162\) | −1.68265 | − | 6.46996i | −0.132202 | − | 0.508328i | ||||
\(163\) | −18.7174 | + | 7.75302i | −1.46606 | + | 0.607263i | −0.965958 | − | 0.258701i | \(-0.916706\pi\) |
−0.500106 | + | 0.865964i | \(0.666706\pi\) | |||||||
\(164\) | 3.38674 | + | 0.961157i | 0.264460 | + | 0.0750537i | ||||
\(165\) | −11.1272 | − | 4.60903i | −0.866250 | − | 0.358812i | ||||
\(166\) | 13.6000 | − | 10.2774i | 1.05556 | − | 0.797680i | ||||
\(167\) | −11.4569 | − | 11.4569i | −0.886565 | − | 0.886565i | 0.107627 | − | 0.994191i | \(-0.465675\pi\) |
−0.994191 | + | 0.107627i | \(0.965675\pi\) | |||||||
\(168\) | −18.3190 | − | 7.70948i | −1.41334 | − | 0.594799i | ||||
\(169\) | −0.510336 | + | 0.510336i | −0.0392566 | + | 0.0392566i | ||||
\(170\) | 1.44209 | − | 10.3634i | 0.110603 | − | 0.794836i | ||||
\(171\) | 3.26541 | − | 7.88339i | 0.249712 | − | 0.602858i | ||||
\(172\) | 0.979041 | − | 0.114250i | 0.0746512 | − | 0.00871147i | ||||
\(173\) | −0.276248 | − | 0.666921i | −0.0210027 | − | 0.0507051i | 0.913030 | − | 0.407892i | \(-0.133736\pi\) |
−0.934033 | + | 0.357187i | \(0.883736\pi\) | |||||||
\(174\) | 14.3127 | − | 24.3740i | 1.08504 | − | 1.84779i | ||||
\(175\) | −6.54396 | − | 6.33217i | −0.494677 | − | 0.478667i | ||||
\(176\) | 5.06273 | − | 3.65298i | 0.381617 | − | 0.275354i | ||||
\(177\) | 25.8273i | 1.94130i | ||||||||
\(178\) | 2.01008 | − | 3.42308i | 0.150662 | − | 0.256571i | ||||
\(179\) | −7.20523 | − | 17.3950i | −0.538544 | − | 1.30016i | −0.925739 | − | 0.378163i | \(-0.876556\pi\) |
0.387195 | − | 0.921998i | \(-0.373444\pi\) | |||||||
\(180\) | −18.4762 | − | 14.6146i | −1.37713 | − | 1.08931i | ||||
\(181\) | −5.82097 | − | 2.41113i | −0.432670 | − | 0.179218i | 0.155709 | − | 0.987803i | \(-0.450234\pi\) |
−0.588379 | + | 0.808585i | \(0.700234\pi\) | |||||||
\(182\) | 8.53705 | + | 10.9189i | 0.632809 | + | 0.809364i | ||||
\(183\) | −11.3411 | − | 11.3411i | −0.838359 | − | 0.838359i | ||||
\(184\) | 26.0345 | + | 0.575308i | 1.91929 | + | 0.0424123i | ||||
\(185\) | −13.9247 | + | 13.9247i | −1.02377 | + | 1.02377i | ||||
\(186\) | 9.02182 | + | 11.9385i | 0.661512 | + | 0.875373i | ||||
\(187\) | 3.67186 | + | 1.52093i | 0.268513 | + | 0.111222i | ||||
\(188\) | −11.2582 | − | 20.1805i | −0.821089 | − | 1.47181i | ||||
\(189\) | −6.88823 | − | 2.72136i | −0.501045 | − | 0.197950i | ||||
\(190\) | 2.17684 | + | 8.37018i | 0.157925 | + | 0.607236i | ||||
\(191\) | 12.9523i | 0.937198i | 0.883411 | + | 0.468599i | \(0.155241\pi\) | ||||
−0.883411 | + | 0.468599i | \(0.844759\pi\) | |||||||
\(192\) | 19.9701 | − | 7.25598i | 1.44122 | − | 0.523655i | ||||
\(193\) | 3.11927 | 0.224530 | 0.112265 | − | 0.993678i | \(-0.464189\pi\) | ||||
0.112265 | + | 0.993678i | \(0.464189\pi\) | |||||||
\(194\) | −1.00736 | − | 3.87342i | −0.0723245 | − | 0.278095i | ||||
\(195\) | 10.9390 | + | 26.4091i | 0.783358 | + | 1.89119i | ||||
\(196\) | 11.9952 | − | 7.21907i | 0.856801 | − | 0.515648i | ||||
\(197\) | 16.9862 | + | 7.03591i | 1.21022 | + | 0.501288i | 0.894287 | − | 0.447495i | \(-0.147684\pi\) |
0.315929 | + | 0.948783i | \(0.397684\pi\) | |||||||
\(198\) | 7.13897 | − | 5.39486i | 0.507345 | − | 0.383396i | ||||
\(199\) | −6.91785 | − | 6.91785i | −0.490393 | − | 0.490393i | 0.418037 | − | 0.908430i | \(-0.362718\pi\) |
−0.908430 | + | 0.418037i | \(0.862718\pi\) | |||||||
\(200\) | 9.73238 | + | 0.215065i | 0.688183 | + | 0.0152074i | ||||
\(201\) | 8.77852 | + | 8.77852i | 0.619189 | + | 0.619189i | ||||
\(202\) | 1.62662 | − | 11.6895i | 0.114448 | − | 0.822468i | ||||
\(203\) | 7.92079 | + | 18.2668i | 0.555931 | + | 1.28208i | ||||
\(204\) | 10.6088 | + | 8.39152i | 0.742762 | + | 0.587524i | ||||
\(205\) | −4.72503 | + | 1.95717i | −0.330010 | + | 0.136695i | ||||
\(206\) | 4.02161 | + | 2.36154i | 0.280199 | + | 0.164536i | ||||
\(207\) | 37.3245 | 2.59423 | ||||||||
\(208\) | −14.6270 | − | 2.36589i | −1.01420 | − | 0.164045i | ||||
\(209\) | −3.28512 | −0.227236 | ||||||||
\(210\) | 27.8205 | − | 7.72598i | 1.91980 | − | 0.533143i | ||||
\(211\) | −1.25393 | − | 3.02726i | −0.0863242 | − | 0.208405i | 0.874822 | − | 0.484444i | \(-0.160978\pi\) |
−0.961146 | + | 0.276039i | \(0.910978\pi\) | |||||||
\(212\) | −3.03601 | − | 26.0165i | −0.208514 | − | 1.78682i | ||||
\(213\) | −5.08179 | − | 2.10495i | −0.348199 | − | 0.144229i | ||||
\(214\) | 4.60134 | + | 0.640287i | 0.314541 | + | 0.0437691i | ||||
\(215\) | −1.01253 | + | 1.01253i | −0.0690542 | + | 0.0690542i | ||||
\(216\) | 7.38014 | − | 2.86762i | 0.502155 | − | 0.195117i | ||||
\(217\) | −10.5391 | + | 0.173355i | −0.715443 | + | 0.0117681i | ||||
\(218\) | −0.189330 | + | 0.143075i | −0.0128230 | + | 0.00969026i | ||||
\(219\) | −8.77320 | + | 21.1804i | −0.592838 | + | 1.43124i | ||||
\(220\) | −2.47613 | + | 8.72492i | −0.166941 | + | 0.588234i | ||||
\(221\) | −3.60976 | − | 8.71474i | −0.242819 | − | 0.586217i | ||||
\(222\) | −6.40764 | − | 24.6380i | −0.430053 | − | 1.65360i | ||||
\(223\) | 24.4613 | 1.63805 | 0.819025 | − | 0.573758i | \(-0.194515\pi\) | ||||
0.819025 | + | 0.573758i | \(0.194515\pi\) | |||||||
\(224\) | −4.16740 | + | 14.3747i | −0.278446 | + | 0.960452i | ||||
\(225\) | 13.9528 | 0.930189 | ||||||||
\(226\) | 1.01398 | + | 3.89885i | 0.0674487 | + | 0.259347i | ||||
\(227\) | −5.43354 | − | 13.1177i | −0.360637 | − | 0.870654i | −0.995207 | − | 0.0977890i | \(-0.968823\pi\) |
0.634570 | − | 0.772865i | \(-0.281177\pi\) | |||||||
\(228\) | −10.7558 | − | 3.05249i | −0.712318 | − | 0.202156i | ||||
\(229\) | −7.45120 | + | 17.9888i | −0.492389 | + | 1.18873i | 0.461111 | + | 0.887342i | \(0.347451\pi\) |
−0.953501 | + | 0.301391i | \(0.902549\pi\) | |||||||
\(230\) | −30.1818 | + | 22.8081i | −1.99013 | + | 1.50392i | ||||
\(231\) | 0.180375 | + | 10.9659i | 0.0118678 | + | 0.721502i | ||||
\(232\) | −19.4799 | − | 8.57783i | −1.27892 | − | 0.563162i | ||||
\(233\) | 14.7467 | − | 14.7467i | 0.966090 | − | 0.966090i | −0.0333540 | − | 0.999444i | \(-0.510619\pi\) |
0.999444 | + | 0.0333540i | \(0.0106189\pi\) | |||||||
\(234\) | −21.0347 | − | 2.92703i | −1.37508 | − | 0.191346i | ||||
\(235\) | 31.0150 | + | 12.8468i | 2.02320 | + | 0.838036i | ||||
\(236\) | 19.3177 | − | 2.25429i | 1.25747 | − | 0.146742i | ||||
\(237\) | 10.5414 | + | 25.4491i | 0.684736 | + | 1.65310i | ||||
\(238\) | −9.18050 | + | 2.54950i | −0.595084 | + | 0.165259i | ||||
\(239\) | −5.33158 | −0.344871 | −0.172436 | − | 0.985021i | \(-0.555164\pi\) | ||||
−0.172436 | + | 0.985021i | \(0.555164\pi\) | |||||||
\(240\) | −16.2142 | + | 26.2654i | −1.04662 | + | 1.69542i | ||||
\(241\) | 19.9020 | 1.28200 | 0.641001 | − | 0.767540i | \(-0.278519\pi\) | ||||
0.641001 | + | 0.767540i | \(0.278519\pi\) | |||||||
\(242\) | 10.4439 | + | 6.13277i | 0.671357 | + | 0.394229i | ||||
\(243\) | −19.3580 | + | 8.01835i | −1.24182 | + | 0.514377i | ||||
\(244\) | −7.49275 | + | 9.47253i | −0.479674 | + | 0.606416i | ||||
\(245\) | −7.16094 | + | 19.0359i | −0.457495 | + | 1.21616i | ||||
\(246\) | 0.911236 | − | 6.54848i | 0.0580983 | − | 0.417516i | ||||
\(247\) | 5.51321 | + | 5.51321i | 0.350797 | + | 0.350797i | ||||
\(248\) | 8.14200 | − | 7.78994i | 0.517018 | − | 0.494662i | ||||
\(249\) | −22.6372 | − | 22.6372i | −1.43458 | − | 1.43458i | ||||
\(250\) | 5.10821 | − | 3.86023i | 0.323072 | − | 0.244143i | ||||
\(251\) | −3.81050 | − | 1.57836i | −0.240517 | − | 0.0996253i | 0.259169 | − | 0.965832i | \(-0.416551\pi\) |
−0.499686 | + | 0.866207i | \(0.666551\pi\) | |||||||
\(252\) | −5.51651 | + | 20.7302i | −0.347507 | + | 1.30588i | ||||
\(253\) | −5.49903 | − | 13.2758i | −0.345721 | − | 0.834645i | ||||
\(254\) | 0.0747616 | + | 0.287466i | 0.00469096 | + | 0.0180372i | ||||
\(255\) | −19.6503 | −1.23055 | ||||||||
\(256\) | −7.17020 | − | 14.3034i | −0.448137 | − | 0.893965i | ||||
\(257\) | − | 29.0776i | − | 1.81381i | −0.421337 | − | 0.906904i | \(-0.638439\pi\) | ||
0.421337 | − | 0.906904i | \(-0.361561\pi\) | |||||||
\(258\) | −0.465930 | − | 1.79155i | −0.0290075 | − | 0.111537i | ||||
\(259\) | 16.6778 | + | 6.58897i | 1.03631 | + | 0.409419i | ||||
\(260\) | 18.7980 | − | 10.4869i | 1.16580 | − | 0.650373i | ||||
\(261\) | −28.1854 | − | 11.6748i | −1.74463 | − | 0.722650i | ||||
\(262\) | 4.24070 | + | 5.61169i | 0.261992 | + | 0.346691i | ||||
\(263\) | −11.7341 | + | 11.7341i | −0.723558 | + | 0.723558i | −0.969328 | − | 0.245770i | \(-0.920959\pi\) |
0.245770 | + | 0.969328i | \(0.420959\pi\) | |||||||
\(264\) | −8.10537 | − | 8.47168i | −0.498851 | − | 0.521396i | ||||
\(265\) | 26.9065 | + | 26.9065i | 1.65285 | + | 1.65285i | ||||
\(266\) | 6.20427 | − | 4.85086i | 0.380408 | − | 0.297425i | ||||
\(267\) | −6.88759 | − | 2.85293i | −0.421513 | − | 0.174597i | ||||
\(268\) | 5.79972 | − | 7.33216i | 0.354275 | − | 0.447883i | ||||
\(269\) | −11.9934 | − | 28.9547i | −0.731252 | − | 1.76540i | −0.638382 | − | 0.769720i | \(-0.720396\pi\) |
−0.0928695 | − | 0.995678i | \(-0.529604\pi\) | |||||||
\(270\) | −5.82436 | + | 9.91866i | −0.354459 | + | 0.603630i | ||||
\(271\) | 12.7659i | 0.775475i | 0.921770 | + | 0.387737i | \(0.126743\pi\) | ||||
−0.921770 | + | 0.387737i | \(0.873257\pi\) | |||||||
\(272\) | 5.35051 | − | 8.66732i | 0.324422 | − | 0.525533i | ||||
\(273\) | 18.1006 | − | 18.7061i | 1.09550 | − | 1.13214i | ||||
\(274\) | −1.75608 | + | 2.99054i | −0.106089 | + | 0.180665i | ||||
\(275\) | −2.05568 | − | 4.96285i | −0.123962 | − | 0.299271i | ||||
\(276\) | −5.66860 | − | 48.5759i | −0.341210 | − | 2.92393i | ||||
\(277\) | −8.35793 | + | 20.1778i | −0.502179 | + | 1.21237i | 0.446115 | + | 0.894976i | \(0.352807\pi\) |
−0.948294 | + | 0.317393i | \(0.897193\pi\) | |||||||
\(278\) | −3.79894 | + | 27.3006i | −0.227845 | + | 1.63738i | ||||
\(279\) | 11.4204 | − | 11.4204i | 0.683723 | − | 0.683723i | ||||
\(280\) | −8.20695 | − | 20.1342i | −0.490459 | − | 1.20325i | ||||
\(281\) | 8.16285 | + | 8.16285i | 0.486955 | + | 0.486955i | 0.907344 | − | 0.420389i | \(-0.138106\pi\) |
−0.420389 | + | 0.907344i | \(0.638106\pi\) | |||||||
\(282\) | −34.6238 | + | 26.1649i | −2.06182 | + | 1.55810i | ||||
\(283\) | −17.0660 | − | 7.06897i | −1.01447 | − | 0.420207i | −0.187386 | − | 0.982286i | \(-0.560001\pi\) |
−0.827083 | + | 0.562080i | \(0.810001\pi\) | |||||||
\(284\) | −1.13085 | + | 3.98468i | −0.0671037 | + | 0.236447i | ||||
\(285\) | 15.0060 | − | 6.21568i | 0.888877 | − | 0.368185i | ||||
\(286\) | 2.05795 | + | 7.91304i | 0.121689 | + | 0.467908i | ||||
\(287\) | 3.34683 | + | 3.23851i | 0.197557 | + | 0.191163i | ||||
\(288\) | −10.7275 | − | 20.2691i | −0.632122 | − | 1.19437i | ||||
\(289\) | −10.5156 | −0.618565 | ||||||||
\(290\) | 29.9258 | − | 7.78284i | 1.75730 | − | 0.457024i | ||||
\(291\) | −6.94423 | + | 2.87639i | −0.407078 | + | 0.168617i | ||||
\(292\) | 16.6077 | + | 4.71327i | 0.971893 | + | 0.275823i | ||||
\(293\) | 1.09885 | − | 2.65285i | 0.0641953 | − | 0.154981i | −0.888526 | − | 0.458826i | \(-0.848270\pi\) |
0.952722 | + | 0.303844i | \(0.0982703\pi\) | |||||||
\(294\) | −16.5331 | − | 20.4438i | −0.964228 | − | 1.19231i | ||||
\(295\) | −19.9785 | + | 19.9785i | −1.16319 | + | 1.16319i | ||||
\(296\) | −17.8689 | + | 6.94311i | −1.03861 | + | 0.403560i | ||||
\(297\) | −3.08940 | − | 3.08940i | −0.179265 | − | 0.179265i | ||||
\(298\) | 1.43830 | − | 10.3362i | 0.0833187 | − | 0.598759i | ||||
\(299\) | −13.0513 | + | 31.5087i | −0.754778 | + | 1.82220i | ||||
\(300\) | −2.11907 | − | 18.1589i | −0.122344 | − | 1.04841i | ||||
\(301\) | 1.21273 | + | 0.479115i | 0.0699004 | + | 0.0276157i | ||||
\(302\) | 7.22167 | + | 4.24065i | 0.415561 | + | 0.244022i | ||||
\(303\) | −22.1647 | −1.27333 | ||||||||
\(304\) | −1.34433 | + | 8.31126i | −0.0771024 | + | 0.476684i | ||||
\(305\) | − | 17.5457i | − | 1.00466i | ||||||
\(306\) | 7.39257 | − | 12.5893i | 0.422605 | − | 0.719681i | ||||
\(307\) | 3.58306 | − | 1.48415i | 0.204496 | − | 0.0847051i | −0.278084 | − | 0.960557i | \(-0.589700\pi\) |
0.482581 | + | 0.875852i | \(0.339700\pi\) | |||||||
\(308\) | 8.18624 | − | 1.09205i | 0.466454 | − | 0.0622252i | ||||
\(309\) | 3.35177 | − | 8.09189i | 0.190675 | − | 0.460331i | ||||
\(310\) | −2.25617 | + | 16.2137i | −0.128142 | + | 0.920875i | ||||
\(311\) | 0.798805 | − | 0.798805i | 0.0452960 | − | 0.0452960i | −0.684096 | − | 0.729392i | \(-0.739803\pi\) |
0.729392 | + | 0.684096i | \(0.239803\pi\) | |||||||
\(312\) | −0.614768 | + | 27.8202i | −0.0348044 | + | 1.57501i | ||||
\(313\) | 10.4208 | − | 10.4208i | 0.589021 | − | 0.589021i | −0.348345 | − | 0.937366i | \(-0.613256\pi\) |
0.937366 | + | 0.348345i | \(0.113256\pi\) | |||||||
\(314\) | −0.821788 | + | 0.621018i | −0.0463762 | + | 0.0350461i | ||||
\(315\) | −12.3977 | − | 28.5914i | −0.698532 | − | 1.61094i | ||||
\(316\) | 18.1147 | − | 10.1058i | 1.01903 | − | 0.568493i | ||||
\(317\) | −3.28997 | − | 7.94268i | −0.184783 | − | 0.446105i | 0.804158 | − | 0.594416i | \(-0.202617\pi\) |
−0.988941 | + | 0.148310i | \(0.952617\pi\) | |||||||
\(318\) | −47.6076 | + | 12.3814i | −2.66970 | + | 0.694312i | ||||
\(319\) | 11.7452i | 0.657608i | ||||||||
\(320\) | 21.0605 | + | 9.83493i | 1.17732 | + | 0.549790i | ||||
\(321\) | − | 8.72472i | − | 0.486966i | ||||||
\(322\) | 29.9888 | + | 16.9528i | 1.67121 | + | 0.944741i | ||||
\(323\) | −4.95183 | + | 2.05111i | −0.275527 | + | 0.114127i | ||||
\(324\) | 4.60603 | + | 8.25639i | 0.255891 | + | 0.458688i | ||||
\(325\) | −4.87892 | + | 11.7788i | −0.270634 | + | 0.653368i | ||||
\(326\) | 22.8585 | − | 17.2740i | 1.26602 | − | 0.956719i | ||||
\(327\) | 0.315140 | + | 0.315140i | 0.0174273 | + | 0.0174273i | ||||
\(328\) | −4.97751 | − | 0.109992i | −0.274837 | − | 0.00607331i | ||||
\(329\) | −0.502763 | − | 30.5655i | −0.0277182 | − | 1.68513i | ||||
\(330\) | 16.8702 | + | 2.34753i | 0.928674 | + | 0.129227i | ||||
\(331\) | −3.24224 | − | 1.34298i | −0.178209 | − | 0.0738168i | 0.291795 | − | 0.956481i | \(-0.405748\pi\) |
−0.470004 | + | 0.882664i | \(0.655748\pi\) | |||||||
\(332\) | −14.9558 | + | 18.9075i | −0.820805 | + | 1.03768i | ||||
\(333\) | −25.3854 | + | 10.5150i | −1.39111 | + | 0.576216i | ||||
\(334\) | 19.7591 | + | 11.6028i | 1.08117 | + | 0.634876i | ||||
\(335\) | 13.5811i | 0.742016i | ||||||||
\(336\) | 27.8172 | + | 4.03108i | 1.51755 | + | 0.219914i | ||||
\(337\) | − | 6.62627i | − | 0.360956i | −0.983579 | − | 0.180478i | \(-0.942236\pi\) | ||
0.983579 | − | 0.180478i | \(-0.0577645\pi\) | |||||||
\(338\) | 0.516832 | − | 0.880145i | 0.0281119 | − | 0.0478736i | ||||
\(339\) | 6.98981 | − | 2.89528i | 0.379635 | − | 0.157250i | ||||
\(340\) | 1.71514 | + | 14.6975i | 0.0930163 | + | 0.797085i | ||||
\(341\) | −5.74468 | − | 2.37953i | −0.311092 | − | 0.128859i | ||||
\(342\) | −1.66318 | + | 11.9522i | −0.0899343 | + | 0.646301i | ||||
\(343\) | 18.4977 | − | 0.913451i | 0.998783 | − | 0.0493217i | ||||
\(344\) | −1.29933 | + | 0.504867i | −0.0700552 | + | 0.0272206i | ||||
\(345\) | 50.2377 | + | 50.2377i | 2.70471 | + | 2.70471i | ||||
\(346\) | 0.615490 | + | 0.814472i | 0.0330889 | + | 0.0437863i | ||||
\(347\) | 3.51612 | − | 8.48867i | 0.188755 | − | 0.455696i | −0.800965 | − | 0.598711i | \(-0.795680\pi\) |
0.989720 | + | 0.143015i | \(0.0456798\pi\) | |||||||
\(348\) | −10.9135 | + | 38.4550i | −0.585026 | + | 2.06140i | ||||
\(349\) | −16.0265 | + | 6.63840i | −0.857879 | + | 0.355345i | −0.767878 | − | 0.640596i | \(-0.778687\pi\) |
−0.0900016 | + | 0.995942i | \(0.528687\pi\) | |||||||
\(350\) | 11.2106 | + | 6.33738i | 0.599231 | + | 0.338747i | ||||
\(351\) | 10.3695i | 0.553483i | ||||||||
\(352\) | −5.62898 | + | 6.80188i | −0.300025 | + | 0.362542i | ||||
\(353\) | 11.9218i | 0.634532i | 0.948337 | + | 0.317266i | \(0.102765\pi\) | ||||
−0.948337 | + | 0.317266i | \(0.897235\pi\) | |||||||
\(354\) | −9.19337 | − | 35.3494i | −0.488622 | − | 1.87880i | ||||
\(355\) | −2.30271 | − | 5.55924i | −0.122215 | − | 0.295054i | ||||
\(356\) | −1.53270 | + | 5.40062i | −0.0812327 | + | 0.286232i | ||||
\(357\) | 7.11860 | + | 16.4168i | 0.376756 | + | 0.868870i | ||||
\(358\) | 16.0535 | + | 21.2435i | 0.848454 | + | 1.12275i | ||||
\(359\) | 18.5210 | − | 18.5210i | 0.977501 | − | 0.977501i | −0.0222516 | − | 0.999752i | \(-0.507083\pi\) |
0.999752 | + | 0.0222516i | \(0.00708348\pi\) | |||||||
\(360\) | 30.4902 | + | 13.4261i | 1.60697 | + | 0.707618i | ||||
\(361\) | −10.3024 | + | 10.3024i | −0.542229 | + | 0.542229i | ||||
\(362\) | 8.82533 | + | 1.22806i | 0.463849 | + | 0.0645456i | ||||
\(363\) | 8.70433 | − | 21.0141i | 0.456859 | − | 1.10295i | ||||
\(364\) | −15.5712 | − | 11.9057i | −0.816151 | − | 0.624031i | ||||
\(365\) | −23.1704 | + | 9.59747i | −1.21279 | + | 0.502355i | ||||
\(366\) | 19.5593 | + | 11.4855i | 1.02238 | + | 0.600355i | ||||
\(367\) | − | 25.5647i | − | 1.33447i | −0.744848 | − | 0.667234i | \(-0.767478\pi\) | ||
0.744848 | − | 0.667234i | \(-0.232522\pi\) | |||||||
\(368\) | −35.8378 | + | 8.47971i | −1.86818 | + | 0.442036i | ||||
\(369\) | −7.13601 | −0.371486 | ||||||||
\(370\) | 14.1020 | − | 24.0151i | 0.733127 | − | 1.24849i | ||||
\(371\) | 12.7317 | − | 32.2263i | 0.660999 | − | 1.67311i | ||||
\(372\) | −16.5976 | − | 13.1287i | −0.860545 | − | 0.680689i | ||||
\(373\) | −5.80739 | + | 14.0203i | −0.300695 | + | 0.725943i | 0.699244 | + | 0.714883i | \(0.253520\pi\) |
−0.999939 | + | 0.0110591i | \(0.996480\pi\) | |||||||
\(374\) | −5.56700 | − | 0.774661i | −0.287863 | − | 0.0400568i | ||||
\(375\) | −8.50265 | − | 8.50265i | −0.439075 | − | 0.439075i | ||||
\(376\) | 22.5923 | + | 23.6133i | 1.16511 | + | 1.21776i | ||||
\(377\) | 19.7113 | − | 19.7113i | 1.01518 | − | 1.01518i | ||||
\(378\) | 10.3965 | + | 1.27277i | 0.534738 | + | 0.0654644i | ||||
\(379\) | 4.18045 | − | 10.0925i | 0.214735 | − | 0.518417i | −0.779404 | − | 0.626522i | \(-0.784478\pi\) |
0.994140 | + | 0.108104i | \(0.0344780\pi\) | |||||||
\(380\) | −5.95882 | − | 10.6813i | −0.305681 | − | 0.547938i | ||||
\(381\) | 0.515366 | − | 0.213472i | 0.0264030 | − | 0.0109365i | ||||
\(382\) | −4.61045 | − | 17.7277i | −0.235891 | − | 0.907026i | ||||
\(383\) | −6.58969 | −0.336717 | −0.168359 | − | 0.985726i | \(-0.553847\pi\) | ||||
−0.168359 | + | 0.985726i | \(0.553847\pi\) | |||||||
\(384\) | −24.7500 | + | 17.0396i | −1.26302 | + | 0.869549i | ||||
\(385\) | −8.34304 | + | 8.62210i | −0.425201 | + | 0.439423i | ||||
\(386\) | −4.26929 | + | 1.11032i | −0.217301 | + | 0.0565137i | ||||
\(387\) | −1.84589 | + | 0.764593i | −0.0938319 | + | 0.0388664i | ||||
\(388\) | 2.75753 | + | 4.94291i | 0.139992 | + | 0.250938i | ||||
\(389\) | 8.24678 | + | 3.41593i | 0.418128 | + | 0.173194i | 0.581821 | − | 0.813317i | \(-0.302341\pi\) |
−0.163693 | + | 0.986511i | \(0.552341\pi\) | |||||||
\(390\) | −24.3725 | − | 32.2519i | −1.23415 | − | 1.63314i | ||||
\(391\) | −16.5780 | − | 16.5780i | −0.838383 | − | 0.838383i | ||||
\(392\) | −13.8480 | + | 14.1504i | −0.699429 | + | 0.714702i | ||||
\(393\) | 9.34068 | − | 9.34068i | 0.471175 | − | 0.471175i | ||||
\(394\) | −25.7532 | − | 3.58362i | −1.29743 | − | 0.180540i | ||||
\(395\) | −11.5318 | + | 27.8402i | −0.580227 | + | 1.40079i | ||||
\(396\) | −7.85067 | + | 9.92501i | −0.394511 | + | 0.498751i | ||||
\(397\) | −4.29181 | − | 10.3614i | −0.215400 | − | 0.520021i | 0.778837 | − | 0.627226i | \(-0.215810\pi\) |
−0.994237 | + | 0.107205i | \(0.965810\pi\) | |||||||
\(398\) | 11.9308 | + | 7.00591i | 0.598037 | + | 0.351174i | ||||
\(399\) | −10.6290 | − | 10.2850i | −0.532117 | − | 0.514895i | ||||
\(400\) | −13.3971 | + | 3.16994i | −0.669855 | + | 0.158497i | ||||
\(401\) | − | 8.48921i | − | 0.423931i | −0.977277 | − | 0.211966i | \(-0.932014\pi\) | ||
0.977277 | − | 0.211966i | \(-0.0679865\pi\) | |||||||
\(402\) | −15.1398 | − | 8.89026i | −0.755104 | − | 0.443406i | ||||
\(403\) | 5.64753 | + | 13.6344i | 0.281324 | + | 0.679175i | ||||
\(404\) | 1.93460 | + | 16.5782i | 0.0962501 | + | 0.824796i | ||||
\(405\) | −12.6891 | − | 5.25599i | −0.630526 | − | 0.261172i | ||||
\(406\) | −17.3432 | − | 22.1820i | −0.860730 | − | 1.10088i | ||||
\(407\) | 7.48008 | + | 7.48008i | 0.370774 | + | 0.370774i | ||||
\(408\) | −17.5071 | − | 7.70909i | −0.866728 | − | 0.381657i | ||||
\(409\) | −1.96856 | + | 1.96856i | −0.0973391 | + | 0.0973391i | −0.754099 | − | 0.656760i | \(-0.771926\pi\) |
0.656760 | + | 0.754099i | \(0.271926\pi\) | |||||||
\(410\) | 5.77041 | − | 4.36065i | 0.284980 | − | 0.215357i | ||||
\(411\) | 6.01726 | + | 2.49243i | 0.296810 | + | 0.122943i | ||||
\(412\) | −6.34492 | − | 1.80069i | −0.312592 | − | 0.0887135i | ||||
\(413\) | 23.9286 | + | 9.45353i | 1.17745 | + | 0.465178i | ||||
\(414\) | −51.0854 | + | 13.2858i | −2.51071 | + | 0.652963i | ||||
\(415\) | − | 35.0217i | − | 1.71915i | ||||||
\(416\) | 20.8619 | − | 1.96842i | 1.02284 | − | 0.0965095i | ||||
\(417\) | 51.7653 | 2.53496 | ||||||||
\(418\) | 4.49629 | − | 1.16935i | 0.219921 | − | 0.0571950i | ||||
\(419\) | −3.68570 | − | 8.89807i | −0.180058 | − | 0.434699i | 0.807920 | − | 0.589292i | \(-0.200593\pi\) |
−0.987978 | + | 0.154593i | \(0.950593\pi\) | |||||||
\(420\) | −35.3274 | + | 20.4773i | −1.72380 | + | 0.999189i | ||||
\(421\) | 22.8873 | + | 9.48022i | 1.11546 | + | 0.462038i | 0.862814 | − | 0.505522i | \(-0.168700\pi\) |
0.252644 | + | 0.967559i | \(0.418700\pi\) | |||||||
\(422\) | 2.79381 | + | 3.69702i | 0.136000 | + | 0.179968i | ||||
\(423\) | 33.1214 | + | 33.1214i | 1.61042 | + | 1.61042i | ||||
\(424\) | 13.4160 | + | 34.5277i | 0.651541 | + | 1.67681i | ||||
\(425\) | −6.19726 | − | 6.19726i | −0.300611 | − | 0.300611i | ||||
\(426\) | 7.70463 | + | 1.07212i | 0.373291 | + | 0.0519443i | ||||
\(427\) | −14.6585 | + | 6.35617i | −0.709375 | + | 0.307597i | ||||
\(428\) | −6.52570 | + | 0.761520i | −0.315431 | + | 0.0368095i | ||||
\(429\) | 14.1864 | − | 5.87621i | 0.684927 | − | 0.283706i | ||||
\(430\) | 1.02542 | − | 1.74626i | 0.0494502 | − | 0.0842119i | ||||
\(431\) | 5.76864 | 0.277865 | 0.138933 | − | 0.990302i | \(-0.455633\pi\) | ||||
0.138933 | + | 0.990302i | \(0.455633\pi\) | |||||||
\(432\) | −9.08034 | + | 6.55187i | −0.436878 | + | 0.315227i | ||||
\(433\) | −24.4362 | −1.17433 | −0.587163 | − | 0.809469i | \(-0.699755\pi\) | ||||
−0.587163 | + | 0.809469i | \(0.699755\pi\) | |||||||
\(434\) | 14.3630 | − | 3.98873i | 0.689448 | − | 0.191465i | ||||
\(435\) | −22.2228 | − | 53.6507i | −1.06550 | − | 2.57235i | ||||
\(436\) | 0.208204 | − | 0.263217i | 0.00997118 | − | 0.0126058i | ||||
\(437\) | 17.9036 | + | 7.41593i | 0.856447 | + | 0.354752i | ||||
\(438\) | 4.46847 | − | 32.1121i | 0.213512 | − | 1.53438i | ||||
\(439\) | −24.7270 | + | 24.7270i | −1.18016 | + | 1.18016i | −0.200453 | + | 0.979703i | \(0.564242\pi\) |
−0.979703 | + | 0.200453i | \(0.935758\pi\) | |||||||
\(440\) | 0.283362 | − | 12.8230i | 0.0135088 | − | 0.611315i | ||||
\(441\) | −19.3954 | + | 20.7153i | −0.923591 | + | 0.986444i | ||||
\(442\) | 8.04268 | + | 10.6428i | 0.382551 | + | 0.506227i | ||||
\(443\) | −1.81762 | + | 4.38813i | −0.0863578 | + | 0.208486i | −0.961159 | − | 0.275997i | \(-0.910992\pi\) |
0.874801 | + | 0.484483i | \(0.160992\pi\) | |||||||
\(444\) | 17.5401 | + | 31.4408i | 0.832415 | + | 1.49212i | ||||
\(445\) | −3.12098 | − | 7.53470i | −0.147948 | − | 0.357179i | ||||
\(446\) | −33.4798 | + | 8.70713i | −1.58531 | + | 0.412294i | ||||
\(447\) | −19.5987 | −0.926986 | ||||||||
\(448\) | 0.587097 | − | 21.1579i | 0.0277377 | − | 0.999615i | ||||
\(449\) | 3.44160 | 0.162419 | 0.0812097 | − | 0.996697i | \(-0.474122\pi\) | ||||
0.0812097 | + | 0.996697i | \(0.474122\pi\) | |||||||
\(450\) | −19.0970 | + | 4.96659i | −0.900243 | + | 0.234127i | ||||
\(451\) | 1.05135 | + | 2.53819i | 0.0495063 | + | 0.119519i | ||||
\(452\) | −2.77563 | − | 4.97536i | −0.130555 | − | 0.234021i | ||||
\(453\) | 6.01882 | − | 14.5307i | 0.282789 | − | 0.682713i | ||||
\(454\) | 12.1061 | + | 16.0199i | 0.568168 | + | 0.751852i | ||||
\(455\) | 28.4715 | − | 0.468321i | 1.33477 | − | 0.0219552i | ||||
\(456\) | 15.8078 | + | 0.349319i | 0.740268 | + | 0.0163583i | ||||
\(457\) | −17.6622 | + | 17.6622i | −0.826202 | + | 0.826202i | −0.986989 | − | 0.160787i | \(-0.948597\pi\) |
0.160787 | + | 0.986989i | \(0.448597\pi\) | |||||||
\(458\) | 3.79514 | − | 27.2733i | 0.177335 | − | 1.27440i | ||||
\(459\) | −6.58572 | − | 2.72790i | −0.307395 | − | 0.127327i | ||||
\(460\) | 33.1906 | − | 41.9604i | 1.54752 | − | 1.95642i | ||||
\(461\) | 13.7497 | + | 33.1948i | 0.640389 | + | 1.54604i | 0.826155 | + | 0.563442i | \(0.190523\pi\) |
−0.185766 | + | 0.982594i | \(0.559477\pi\) | |||||||
\(462\) | −4.15024 | − | 14.9446i | −0.193087 | − | 0.695287i | ||||
\(463\) | 9.55536 | 0.444075 | 0.222038 | − | 0.975038i | \(-0.428729\pi\) | ||||
0.222038 | + | 0.975038i | \(0.428729\pi\) | |||||||
\(464\) | 29.7152 | + | 4.80636i | 1.37949 | + | 0.223129i | ||||
\(465\) | 30.7432 | 1.42568 | ||||||||
\(466\) | −14.9344 | + | 25.4328i | −0.691824 | + | 1.17815i | ||||
\(467\) | −13.5473 | + | 5.61148i | −0.626895 | + | 0.259668i | −0.673433 | − | 0.739248i | \(-0.735181\pi\) |
0.0465384 | + | 0.998917i | \(0.485181\pi\) | |||||||
\(468\) | 29.8318 | − | 3.48124i | 1.37898 | − | 0.160920i | ||||
\(469\) | 11.3463 | − | 4.91996i | 0.523925 | − | 0.227183i | ||||
\(470\) | −47.0227 | − | 6.54332i | −2.16899 | − | 0.301821i | ||||
\(471\) | 1.36787 | + | 1.36787i | 0.0630281 | + | 0.0630281i | ||||
\(472\) | −25.6374 | + | 9.96164i | −1.18006 | + | 0.458521i | ||||
\(473\) | 0.543912 | + | 0.543912i | 0.0250091 | + | 0.0250091i | ||||
\(474\) | −23.4866 | − | 31.0796i | −1.07877 | − | 1.42753i | ||||
\(475\) | 6.69284 | + | 2.77227i | 0.307089 | + | 0.127200i | ||||
\(476\) | 11.6577 | − | 6.75730i | 0.534330 | − | 0.309721i | ||||
\(477\) | 20.3179 | + | 49.0517i | 0.930291 | + | 2.24592i | ||||
\(478\) | 7.29725 | − | 1.89780i | 0.333768 | − | 0.0868035i | ||||
\(479\) | 12.7617 | 0.583096 | 0.291548 | − | 0.956556i | \(-0.405830\pi\) | ||||
0.291548 | + | 0.956556i | \(0.405830\pi\) | |||||||
\(480\) | 12.8428 | − | 41.7205i | 0.586189 | − | 1.90427i | ||||
\(481\) | − | 25.1067i | − | 1.14477i | ||||||
\(482\) | −27.2396 | + | 7.08423i | −1.24073 | + | 0.322678i | ||||
\(483\) | 23.7717 | − | 60.1704i | 1.08165 | − | 2.73785i | ||||
\(484\) | −16.4773 | − | 4.67627i | −0.748970 | − | 0.212558i | ||||
\(485\) | −7.59666 | − | 3.14664i | −0.344947 | − | 0.142882i | ||||
\(486\) | 23.6408 | − | 17.8652i | 1.07237 | − | 0.810380i | ||||
\(487\) | −5.86287 | + | 5.86287i | −0.265672 | + | 0.265672i | −0.827354 | − | 0.561681i | \(-0.810155\pi\) |
0.561681 | + | 0.827354i | \(0.310155\pi\) | |||||||
\(488\) | 6.88342 | − | 15.6320i | 0.311598 | − | 0.707626i | ||||
\(489\) | −38.0482 | − | 38.0482i | −1.72060 | − | 1.72060i | ||||
\(490\) | 3.02512 | − | 28.6032i | 0.136661 | − | 1.29216i | ||||
\(491\) | −3.95295 | − | 1.63736i | −0.178394 | − | 0.0738932i | 0.291699 | − | 0.956510i | \(-0.405780\pi\) |
−0.470093 | + | 0.882617i | \(0.655780\pi\) | |||||||
\(492\) | 1.08377 | + | 9.28716i | 0.0488602 | + | 0.418698i | ||||
\(493\) | 7.33332 | + | 17.7042i | 0.330276 | + | 0.797357i | ||||
\(494\) | −9.50829 | − | 5.58339i | −0.427798 | − | 0.251208i | ||||
\(495\) | − | 18.3838i | − | 0.826289i | ||||||
\(496\) | −8.37096 | + | 13.5602i | −0.375867 | + | 0.608869i | ||||
\(497\) | −3.81028 | + | 3.93772i | −0.170914 | + | 0.176631i | ||||
\(498\) | 39.0410 | + | 22.9254i | 1.74947 | + | 1.02731i | ||||
\(499\) | 14.0448 | + | 33.9073i | 0.628734 | + | 1.51790i | 0.841197 | + | 0.540728i | \(0.181851\pi\) |
−0.212464 | + | 0.977169i | \(0.568149\pi\) | |||||||
\(500\) | −5.61746 | + | 7.10173i | −0.251220 | + | 0.317599i | ||||
\(501\) | 16.4680 | − | 39.7573i | 0.735736 | − | 1.77622i | ||||
\(502\) | 5.77720 | + | 0.803911i | 0.257849 | + | 0.0358803i | ||||
\(503\) | 10.8605 | − | 10.8605i | 0.484248 | − | 0.484248i | −0.422237 | − | 0.906485i | \(-0.638755\pi\) |
0.906485 | + | 0.422237i | \(0.138755\pi\) | |||||||
\(504\) | 0.171314 | − | 30.3368i | 0.00763095 | − | 1.35131i | ||||
\(505\) | −17.1453 | − | 17.1453i | −0.762957 | − | 0.762957i | ||||
\(506\) | 12.2520 | + | 16.2130i | 0.544670 | + | 0.720757i | ||||
\(507\) | −1.77094 | − | 0.733547i | −0.0786502 | − | 0.0325780i | ||||
\(508\) | −0.204650 | − | 0.366838i | −0.00907988 | − | 0.0162758i | ||||
\(509\) | 2.94065 | − | 1.21806i | 0.130342 | − | 0.0539895i | −0.316559 | − | 0.948573i | \(-0.602528\pi\) |
0.446901 | + | 0.894583i | \(0.352528\pi\) | |||||||
\(510\) | 26.8950 | − | 6.99462i | 1.19093 | − | 0.309727i | ||||
\(511\) | 16.4120 | + | 15.8808i | 0.726024 | + | 0.702527i | ||||
\(512\) | 14.9051 | + | 17.0246i | 0.658719 | + | 0.752389i | ||||
\(513\) | 5.89208 | 0.260142 | ||||||||
\(514\) | 10.3503 | + | 39.7980i | 0.456532 | + | 1.75541i | ||||
\(515\) | 8.85215 | − | 3.66668i | 0.390072 | − | 0.161573i | ||||
\(516\) | 1.27542 | + | 2.28621i | 0.0561473 | + | 0.100645i | ||||
\(517\) | 6.90106 | − | 16.6606i | 0.303508 | − | 0.732734i | ||||
\(518\) | −25.1721 | − | 3.08165i | −1.10600 | − | 0.135400i | ||||
\(519\) | 1.35569 | − | 1.35569i | 0.0595083 | − | 0.0595083i | ||||
\(520\) | −21.9957 | + | 21.0446i | −0.964574 | + | 0.922866i | ||||
\(521\) | −19.6375 | − | 19.6375i | −0.860335 | − | 0.860335i | 0.131042 | − | 0.991377i | \(-0.458168\pi\) |
−0.991377 | + | 0.131042i | \(0.958168\pi\) | |||||||
\(522\) | 42.7326 | + | 5.94634i | 1.87036 | + | 0.260264i | ||||
\(523\) | 1.73006 | − | 4.17674i | 0.0756503 | − | 0.182636i | −0.881530 | − | 0.472127i | \(-0.843486\pi\) |
0.957181 | + | 0.289492i | \(0.0934862\pi\) | |||||||
\(524\) | −7.80169 | − | 6.17113i | −0.340819 | − | 0.269587i | ||||
\(525\) | 8.88647 | − | 22.4932i | 0.387838 | − | 0.981686i | ||||
\(526\) | 11.8835 | − | 20.2372i | 0.518146 | − | 0.882382i | ||||
\(527\) | −10.1449 | −0.441921 | ||||||||
\(528\) | 14.1092 | + | 8.70991i | 0.614025 | + | 0.379050i | ||||
\(529\) | 61.7660i | 2.68548i | ||||||||
\(530\) | −46.4040 | − | 27.2490i | −2.01566 | − | 1.18362i | ||||
\(531\) | −36.4217 | + | 15.0864i | −1.58057 | + | 0.654692i | ||||
\(532\) | −6.76499 | + | 8.84774i | −0.293300 | + | 0.383598i | ||||
\(533\) | 2.49527 | − | 6.02410i | 0.108082 | − | 0.260933i | ||||
\(534\) | 10.4424 | + | 1.45309i | 0.451889 | + | 0.0628814i | ||||
\(535\) | 6.74894 | − | 6.74894i | 0.291782 | − | 0.291782i | ||||
\(536\) | −5.32807 | + | 12.0998i | −0.230138 | + | 0.522634i | ||||
\(537\) | 35.3599 | − | 35.3599i | 1.52589 | − | 1.52589i | ||||
\(538\) | 26.7218 | + | 35.3607i | 1.15206 | + | 1.52451i | ||||
\(539\) | 10.2257 | + | 3.84671i | 0.440453 | + | 0.165689i | ||||
\(540\) | 4.44111 | − | 15.6487i | 0.191115 | − | 0.673414i | ||||
\(541\) | −11.1799 | − | 26.9906i | −0.480660 | − | 1.16042i | −0.959296 | − | 0.282403i | \(-0.908869\pi\) |
0.478636 | − | 0.878013i | \(-0.341131\pi\) | |||||||
\(542\) | −4.54410 | − | 17.4725i | −0.195186 | − | 0.750509i | ||||
\(543\) | − | 16.7339i | − | 0.718121i | ||||||
\(544\) | −4.23798 | + | 13.7674i | −0.181702 | + | 0.590271i | ||||
\(545\) | 0.487549i | 0.0208843i | ||||||||
\(546\) | −18.1155 | + | 32.0457i | −0.775274 | + | 1.37143i | ||||
\(547\) | 6.06574 | − | 2.51251i | 0.259352 | − | 0.107427i | −0.249219 | − | 0.968447i | \(-0.580174\pi\) |
0.508571 | + | 0.861020i | \(0.330174\pi\) | |||||||
\(548\) | 1.33902 | − | 4.71819i | 0.0572002 | − | 0.201551i | ||||
\(549\) | 9.36861 | − | 22.6178i | 0.399843 | − | 0.965306i | ||||
\(550\) | 4.58013 | + | 6.06085i | 0.195297 | + | 0.258435i | ||||
\(551\) | −11.2002 | − | 11.2002i | −0.477145 | − | 0.477145i | ||||
\(552\) | 25.0494 | + | 64.4673i | 1.06617 | + | 2.74391i | ||||
\(553\) | 27.4366 | − | 0.451298i | 1.16672 | − | 0.0191911i | ||||
\(554\) | 4.25697 | − | 30.5921i | 0.180861 | − | 1.29973i | ||||
\(555\) | −48.3208 | − | 20.0151i | −2.05111 | − | 0.849596i | ||||
\(556\) | −4.51823 | − | 38.7181i | −0.191616 | − | 1.64201i | ||||
\(557\) | −28.0175 | + | 11.6052i | −1.18714 | + | 0.491730i | −0.886823 | − | 0.462109i | \(-0.847093\pi\) |
−0.300318 | + | 0.953839i | \(0.597093\pi\) | |||||||
\(558\) | −11.5658 | + | 19.6961i | −0.489619 | + | 0.833803i | ||||
\(559\) | − | 1.82563i | − | 0.0772159i | ||||||
\(560\) | 18.3996 | + | 24.6360i | 0.777524 | + | 1.04106i | ||||
\(561\) | 10.5557i | 0.445663i | ||||||||
\(562\) | −14.0780 | − | 8.26675i | −0.593843 | − | 0.348712i | ||||
\(563\) | −32.8788 | + | 13.6189i | −1.38568 | + | 0.573966i | −0.945993 | − | 0.324186i | \(-0.894910\pi\) |
−0.439684 | + | 0.898152i | \(0.644910\pi\) | |||||||
\(564\) | 38.0756 | − | 48.1361i | 1.60327 | − | 2.02689i | ||||
\(565\) | 7.64653 | + | 3.16730i | 0.321692 | + | 0.133249i | ||||
\(566\) | 25.8742 | + | 3.60046i | 1.08757 | + | 0.151338i | ||||
\(567\) | 0.205694 | + | 12.5052i | 0.00863833 | + | 0.525167i | ||||
\(568\) | 0.129412 | − | 5.85630i | 0.00542999 | − | 0.245725i | ||||
\(569\) | 13.5586 | + | 13.5586i | 0.568406 | + | 0.568406i | 0.931682 | − | 0.363276i | \(-0.118342\pi\) |
−0.363276 | + | 0.931682i | \(0.618342\pi\) | |||||||
\(570\) | −18.3259 | + | 13.8488i | −0.767589 | + | 0.580060i | ||||
\(571\) | −9.21862 | + | 22.2557i | −0.385787 | + | 0.931372i | 0.605035 | + | 0.796199i | \(0.293159\pi\) |
−0.990822 | + | 0.135173i | \(0.956841\pi\) | |||||||
\(572\) | −5.63337 | − | 10.0979i | −0.235543 | − | 0.422215i | ||||
\(573\) | −31.7820 | + | 13.1645i | −1.32771 | + | 0.549956i | ||||
\(574\) | −5.73352 | − | 3.24117i | −0.239312 | − | 0.135284i | ||||
\(575\) | 31.6877i | 1.32147i | ||||||||
\(576\) | 21.8974 | + | 23.9235i | 0.912392 | + | 0.996811i | ||||
\(577\) | 1.13890i | 0.0474131i | 0.999719 | + | 0.0237066i | \(0.00754674\pi\) | ||||
−0.999719 | + | 0.0237066i | \(0.992453\pi\) | |||||||
\(578\) | 14.3925 | − | 3.74308i | 0.598650 | − | 0.155692i | ||||
\(579\) | 3.17037 | + | 7.65394i | 0.131756 | + | 0.318087i | ||||
\(580\) | −38.1886 | + | 21.3045i | −1.58570 | + | 0.884621i | ||||
\(581\) | −29.2589 | + | 12.6871i | −1.21386 | + | 0.526351i | ||||
\(582\) | 8.48058 | − | 6.40870i | 0.351532 | − | 0.265649i | ||||
\(583\) | 14.4536 | − | 14.4536i | 0.598608 | − | 0.598608i | ||||
\(584\) | −24.4084 | − | 0.539374i | −1.01003 | − | 0.0223195i | ||||
\(585\) | −30.8524 | + | 30.8524i | −1.27559 | + | 1.27559i | ||||
\(586\) | −0.559678 | + | 4.02205i | −0.0231201 | + | 0.166149i | ||||
\(587\) | 9.62366 | − | 23.2336i | 0.397211 | − | 0.958952i | −0.591113 | − | 0.806588i | \(-0.701311\pi\) |
0.988324 | − | 0.152364i | \(-0.0486886\pi\) | |||||||
\(588\) | 29.9056 | + | 22.0961i | 1.23329 | + | 0.911226i | ||||
\(589\) | 7.74721 | − | 3.20900i | 0.319218 | − | 0.132224i | ||||
\(590\) | 20.2328 | − | 34.4558i | 0.832973 | − | 1.41852i | ||||
\(591\) | 48.8313i | 2.00865i | ||||||||
\(592\) | 21.9854 | − | 15.8634i | 0.903594 | − | 0.651983i | ||||
\(593\) | 19.9388 | 0.818789 | 0.409395 | − | 0.912357i | \(-0.365740\pi\) | ||||
0.409395 | + | 0.912357i | \(0.365740\pi\) | |||||||
\(594\) | 5.32810 | + | 3.12872i | 0.218615 | + | 0.128373i | ||||
\(595\) | −7.19256 | + | 18.2056i | −0.294866 | + | 0.746358i | ||||
\(596\) | 1.71063 | + | 14.6589i | 0.0700703 | + | 0.600453i | ||||
\(597\) | 9.94359 | − | 24.0060i | 0.406964 | − | 0.982498i | ||||
\(598\) | 6.64747 | − | 47.7712i | 0.271835 | − | 1.95351i | ||||
\(599\) | 14.7541 | + | 14.7541i | 0.602835 | + | 0.602835i | 0.941064 | − | 0.338229i | \(-0.109828\pi\) |
−0.338229 | + | 0.941064i | \(0.609828\pi\) | |||||||
\(600\) | 9.36410 | + | 24.0996i | 0.382288 | + | 0.983860i | ||||
\(601\) | 14.0509 | − | 14.0509i | 0.573148 | − | 0.573148i | −0.359858 | − | 0.933007i | \(-0.617175\pi\) |
0.933007 | + | 0.359858i | \(0.117175\pi\) | |||||||
\(602\) | −1.83038 | − | 0.224082i | −0.0746008 | − | 0.00913288i | ||||
\(603\) | −7.25172 | + | 17.5072i | −0.295313 | + | 0.712949i | ||||
\(604\) | −11.3937 | − | 3.23352i | −0.463602 | − | 0.131570i | ||||
\(605\) | 22.9885 | − | 9.52213i | 0.934614 | − | 0.387130i | ||||
\(606\) | 30.3365 | − | 7.88964i | 1.23233 | − | 0.320495i | ||||
\(607\) | −17.8857 | −0.725956 | −0.362978 | − | 0.931798i | \(-0.618240\pi\) | ||||
−0.362978 | + | 0.931798i | \(0.618240\pi\) | |||||||
\(608\) | −1.11848 | − | 11.8540i | −0.0453603 | − | 0.480744i | ||||
\(609\) | −36.7719 | + | 38.0018i | −1.49007 | + | 1.53991i | ||||
\(610\) | 6.24547 | + | 24.0145i | 0.252871 | + | 0.972317i | ||||
\(611\) | −39.5421 | + | 16.3789i | −1.59970 | + | 0.662619i | ||||
\(612\) | −5.63688 | + | 19.8622i | −0.227857 | + | 0.802880i | ||||
\(613\) | −27.8036 | − | 11.5166i | −1.12298 | − | 0.465152i | −0.257588 | − | 0.966255i | \(-0.582928\pi\) |
−0.865388 | + | 0.501103i | \(0.832928\pi\) | |||||||
\(614\) | −4.37579 | + | 3.30675i | −0.176592 | + | 0.133449i | ||||
\(615\) | −9.60487 | − | 9.60487i | −0.387306 | − | 0.387306i | ||||
\(616\) | −10.8157 | + | 4.40860i | −0.435775 | + | 0.177628i | ||||
\(617\) | 1.18385 | − | 1.18385i | 0.0476600 | − | 0.0476600i | −0.682875 | − | 0.730535i | \(-0.739271\pi\) |
0.730535 | + | 0.682875i | \(0.239271\pi\) | |||||||
\(618\) | −1.70716 | + | 12.2683i | −0.0686722 | + | 0.493504i | ||||
\(619\) | −1.51142 | + | 3.64890i | −0.0607493 | + | 0.146662i | −0.951339 | − | 0.308145i | \(-0.900292\pi\) |
0.890590 | + | 0.454807i | \(0.150292\pi\) | |||||||
\(620\) | −2.68336 | − | 22.9945i | −0.107766 | − | 0.923482i | ||||
\(621\) | 9.86288 | + | 23.8111i | 0.395784 | + | 0.955507i | ||||
\(622\) | −0.808972 | + | 1.37765i | −0.0324368 | + | 0.0552387i | ||||
\(623\) | −5.16424 | + | 5.33697i | −0.206901 | + | 0.213821i | ||||
\(624\) | −9.06133 | − | 38.2959i | −0.362744 | − | 1.53306i | ||||
\(625\) | − | 30.3631i | − | 1.21452i | ||||||
\(626\) | −10.5535 | + | 17.9722i | −0.421803 | + | 0.718314i | ||||
\(627\) | −3.33893 | − | 8.06090i | −0.133344 | − | 0.321921i | ||||
\(628\) | 0.903714 | − | 1.14250i | 0.0360621 | − | 0.0455906i | ||||
\(629\) | 15.9454 | + | 6.60480i | 0.635785 | + | 0.263351i | ||||
\(630\) | 27.1458 | + | 34.7196i | 1.08151 | + | 1.38326i | ||||
\(631\) | −25.8833 | − | 25.8833i | −1.03040 | − | 1.03040i | −0.999523 | − | 0.0308730i | \(-0.990171\pi\) |
−0.0308730 | − | 0.999523i | \(-0.509829\pi\) | |||||||
\(632\) | −21.1961 | + | 20.2796i | −0.843137 | + | 0.806680i | ||||
\(633\) | 6.15371 | − | 6.15371i | 0.244588 | − | 0.244588i | ||||
\(634\) | 7.33016 | + | 9.69994i | 0.291118 | + | 0.385234i | ||||
\(635\) | 0.563787 | + | 0.233528i | 0.0223732 | + | 0.00926729i | ||||
\(636\) | 60.7526 | − | 33.8923i | 2.40900 | − | 1.34392i | ||||
\(637\) | −10.7055 | − | 23.6169i | −0.424167 | − | 0.935735i | ||||
\(638\) | −4.18078 | − | 16.0755i | −0.165519 | − | 0.636436i | ||||
\(639\) | − | 8.39589i | − | 0.332136i | ||||||
\(640\) | −32.3260 | − | 5.96431i | −1.27780 | − | 0.235760i | ||||
\(641\) | −29.7504 | −1.17507 | −0.587536 | − | 0.809198i | \(-0.699902\pi\) | ||||
−0.587536 | + | 0.809198i | \(0.699902\pi\) | |||||||
\(642\) | 3.10561 | + | 11.9414i | 0.122569 | + | 0.471289i | ||||
\(643\) | 0.683163 | + | 1.64930i | 0.0269413 | + | 0.0650421i | 0.936778 | − | 0.349925i | \(-0.113793\pi\) |
−0.909836 | + | 0.414967i | \(0.863793\pi\) | |||||||
\(644\) | −47.0796 | − | 12.5283i | −1.85520 | − | 0.493685i | ||||
\(645\) | −3.51364 | − | 1.45540i | −0.138349 | − | 0.0573062i | ||||
\(646\) | 6.04738 | − | 4.56995i | 0.237931 | − | 0.179802i | ||||
\(647\) | 25.2116 | + | 25.2116i | 0.991169 | + | 0.991169i | 0.999961 | − | 0.00879259i | \(-0.00279880\pi\) |
−0.00879259 | + | 0.999961i | \(0.502799\pi\) | |||||||
\(648\) | −9.24311 | − | 9.66084i | −0.363104 | − | 0.379514i | ||||
\(649\) | 10.7321 | + | 10.7321i | 0.421270 | + | 0.421270i | ||||
\(650\) | 2.48499 | − | 17.8581i | 0.0974695 | − | 0.700452i | ||||
\(651\) | −11.1372 | − | 25.6844i | −0.436500 | − | 1.00665i | ||||
\(652\) | −25.1374 | + | 31.7793i | −0.984455 | + | 1.24457i | ||||
\(653\) | 6.65610 | − | 2.75705i | 0.260473 | − | 0.107892i | −0.248625 | − | 0.968600i | \(-0.579979\pi\) |
0.509099 | + | 0.860708i | \(0.329979\pi\) | |||||||
\(654\) | −0.543503 | − | 0.319152i | −0.0212527 | − | 0.0124798i | ||||
\(655\) | 14.4508 | 0.564640 | ||||||||
\(656\) | 6.85178 | − | 1.62122i | 0.267517 | − | 0.0632982i | ||||
\(657\) | −34.9932 | −1.36521 | ||||||||
\(658\) | 11.5681 | + | 41.6555i | 0.450970 | + | 1.62390i | ||||
\(659\) | 11.2233 | + | 27.0954i | 0.437197 | + | 1.05549i | 0.976912 | + | 0.213640i | \(0.0685320\pi\) |
−0.539715 | + | 0.841848i | \(0.681468\pi\) | |||||||
\(660\) | −23.9256 | + | 2.79201i | −0.931302 | + | 0.108679i | ||||
\(661\) | 20.5741 | + | 8.52207i | 0.800239 | + | 0.331470i | 0.745052 | − | 0.667006i | \(-0.232424\pi\) |
0.0551871 | + | 0.998476i | \(0.482424\pi\) | |||||||
\(662\) | 4.91564 | + | 0.684022i | 0.191052 | + | 0.0265853i | ||||
\(663\) | 17.7150 | − | 17.7150i | 0.687994 | − | 0.687994i | ||||
\(664\) | 13.7395 | − | 31.2019i | 0.533197 | − | 1.21087i | ||||
\(665\) | −0.266106 | − | 16.1779i | −0.0103191 | − | 0.627351i | ||||
\(666\) | 31.0017 | − | 23.4277i | 1.20129 | − | 0.907805i | ||||
\(667\) | 26.5141 | − | 64.0107i | 1.02663 | − | 2.47850i | ||||
\(668\) | −31.1740 | − | 8.84718i | −1.20616 | − | 0.342308i | ||||
\(669\) | 24.8620 | + | 60.0223i | 0.961222 | + | 2.32059i | ||||
\(670\) | −4.83427 | − | 18.5883i | −0.186764 | − | 0.718127i | ||||
\(671\) | −9.42517 | −0.363854 | ||||||||
\(672\) | −39.5079 | + | 4.38440i | −1.52405 | + | 0.169132i | ||||
\(673\) | 6.25912 | 0.241271 | 0.120636 | − | 0.992697i | \(-0.461507\pi\) | ||||
0.120636 | + | 0.992697i | \(0.461507\pi\) | |||||||
\(674\) | 2.35866 | + | 9.06927i | 0.0908520 | + | 0.349335i | ||||
\(675\) | 3.68700 | + | 8.90120i | 0.141913 | + | 0.342608i | ||||
\(676\) | −0.394087 | + | 1.38861i | −0.0151572 | + | 0.0534080i | ||||
\(677\) | 5.52143 | − | 13.3299i | 0.212206 | − | 0.512310i | −0.781556 | − | 0.623835i | \(-0.785574\pi\) |
0.993762 | + | 0.111525i | \(0.0355737\pi\) | |||||||
\(678\) | −8.53626 | + | 6.45078i | −0.327833 | + | 0.247741i | ||||
\(679\) | 0.123144 | + | 7.48654i | 0.00472584 | + | 0.287307i | ||||
\(680\) | −7.57914 | − | 19.5058i | −0.290647 | − | 0.748012i | ||||
\(681\) | 26.6652 | − | 26.6652i | 1.02181 | − | 1.02181i | ||||
\(682\) | 8.70966 | + | 1.21197i | 0.333510 | + | 0.0464087i | ||||
\(683\) | −18.2503 | − | 7.55952i | −0.698328 | − | 0.289257i | 0.00513711 | − | 0.999987i | \(-0.498365\pi\) |
−0.703465 | + | 0.710730i | \(0.748365\pi\) | |||||||
\(684\) | −1.97809 | − | 16.9508i | −0.0756340 | − | 0.648130i | ||||
\(685\) | 2.72661 | + | 6.58261i | 0.104178 | + | 0.251509i | ||||
\(686\) | −24.9924 | + | 7.83458i | −0.954214 | + | 0.299126i | ||||
\(687\) | −51.7135 | −1.97299 | ||||||||
\(688\) | 1.59866 | − | 1.15351i | 0.0609484 | − | 0.0439770i | ||||
\(689\) | −48.5132 | −1.84821 | ||||||||
\(690\) | −86.6419 | − | 50.8772i | −3.29840 | − | 1.93686i | ||||
\(691\) | 22.5623 | − | 9.34562i | 0.858311 | − | 0.355524i | 0.0902645 | − | 0.995918i | \(-0.471229\pi\) |
0.768047 | + | 0.640394i | \(0.221229\pi\) | |||||||
\(692\) | −1.13233 | − | 0.895669i | −0.0430446 | − | 0.0340482i | ||||
\(693\) | −15.3587 | + | 6.65980i | −0.583429 | + | 0.252985i | ||||
\(694\) | −1.79087 | + | 12.8699i | −0.0679807 | + | 0.488534i | ||||
\(695\) | 40.0426 | + | 40.0426i | 1.51890 | + | 1.51890i | ||||
\(696\) | 1.24892 | − | 56.5175i | 0.0473400 | − | 2.14229i | ||||
\(697\) | 3.16951 | + | 3.16951i | 0.120054 | + | 0.120054i | ||||
\(698\) | 19.5723 | − | 14.7906i | 0.740821 | − | 0.559832i | ||||
\(699\) | 51.1733 | + | 21.1967i | 1.93555 | + | 0.801731i | ||||
\(700\) | −17.5996 | − | 4.68340i | −0.665201 | − | 0.177016i | ||||
\(701\) | 13.8010 | + | 33.3185i | 0.521255 | + | 1.25842i | 0.937124 | + | 0.348997i | \(0.113478\pi\) |
−0.415869 | + | 0.909425i | \(0.636522\pi\) | |||||||
\(702\) | −3.69108 | − | 14.1926i | −0.139311 | − | 0.535664i | ||||
\(703\) | −14.2659 | −0.538050 | ||||||||
\(704\) | 5.28313 | − | 11.3133i | 0.199115 | − | 0.426386i | ||||
\(705\) | 89.1609i | 3.35799i | ||||||||
\(706\) | −4.24362 | − | 16.3172i | −0.159711 | − | 0.614104i | ||||
\(707\) | −8.11290 | + | 20.5352i | −0.305117 | + | 0.772306i | ||||
\(708\) | 25.1656 | + | 45.1098i | 0.945782 | + | 1.69533i | ||||
\(709\) | −23.5630 | − | 9.76010i | −0.884926 | − | 0.366548i | −0.106521 | − | 0.994310i | \(-0.533971\pi\) |
−0.778405 | + | 0.627762i | \(0.783971\pi\) | |||||||
\(710\) | 5.13053 | + | 6.78919i | 0.192545 | + | 0.254794i | ||||
\(711\) | −29.7309 | + | 29.7309i | −1.11500 | + | 1.11500i | ||||
\(712\) | 0.175398 | − | 7.93731i | 0.00657330 | − | 0.297463i | ||||
\(713\) | 25.9365 | + | 25.9365i | 0.971328 | + | 0.971328i | ||||
\(714\) | −15.5868 | − | 19.9355i | −0.583320 | − | 0.746068i | ||||
\(715\) | 15.5193 | + | 6.42830i | 0.580389 | + | 0.240405i | ||||
\(716\) | −29.5339 | − | 23.3613i | −1.10373 | − | 0.873052i | ||||
\(717\) | −5.41892 | − | 13.0824i | −0.202373 | − | 0.488572i | ||||
\(718\) | −18.7567 | + | 31.9420i | −0.699996 | + | 1.19207i | ||||
\(719\) | 48.7896i | 1.81955i | 0.415106 | + | 0.909773i | \(0.363744\pi\) | ||||
−0.415106 | + | 0.909773i | \(0.636256\pi\) | |||||||
\(720\) | −46.5105 | − | 7.52296i | −1.73334 | − | 0.280364i | ||||
\(721\) | −6.27015 | − | 6.06721i | −0.233513 | − | 0.225955i | ||||
\(722\) | 10.4335 | − | 17.7678i | 0.388294 | − | 0.661251i | ||||
\(723\) | 20.2281 | + | 48.8349i | 0.752290 | + | 1.81619i | ||||
\(724\) | −12.5162 | + | 1.46059i | −0.465162 | + | 0.0542823i | ||||
\(725\) | 9.91165 | − | 23.9288i | 0.368110 | − | 0.888695i | ||||
\(726\) | −4.43340 | + | 31.8600i | −0.164539 | + | 1.18244i | ||||
\(727\) | −24.0403 | + | 24.0403i | −0.891606 | + | 0.891606i | −0.994674 | − | 0.103068i | \(-0.967134\pi\) |
0.103068 | + | 0.994674i | \(0.467134\pi\) | |||||||
\(728\) | 25.5499 | + | 10.7526i | 0.946943 | + | 0.398516i | ||||
\(729\) | −29.3225 | − | 29.3225i | −1.08602 | − | 1.08602i | ||||
\(730\) | 28.2966 | − | 21.3835i | 1.04731 | − | 0.791439i | ||||
\(731\) | 1.15947 | + | 0.480267i | 0.0428844 | + | 0.0177633i | ||||
\(732\) | −30.8588 | − | 8.75774i | −1.14058 | − | 0.323695i | ||||
\(733\) | −10.2746 | + | 4.25589i | −0.379502 | + | 0.157195i | −0.564276 | − | 0.825586i | \(-0.690845\pi\) |
0.184774 | + | 0.982781i | \(0.440845\pi\) | |||||||
\(734\) | 9.09990 | + | 34.9900i | 0.335883 | + | 1.29151i | ||||
\(735\) | −53.9879 | + | 1.77655i | −1.99138 | + | 0.0655289i | ||||
\(736\) | 46.0323 | − | 24.3627i | 1.69677 | − | 0.898021i | ||||
\(737\) | 7.29550 | 0.268733 | ||||||||
\(738\) | 9.76694 | − | 2.54010i | 0.359526 | − | 0.0935023i | ||||
\(739\) | −11.9282 | + | 4.94082i | −0.438786 | + | 0.181751i | −0.591130 | − | 0.806576i | \(-0.701318\pi\) |
0.152344 | + | 0.988328i | \(0.451318\pi\) | |||||||
\(740\) | −10.7528 | + | 37.8888i | −0.395282 | + | 1.39282i | ||||
\(741\) | −7.92458 | + | 19.1316i | −0.291117 | + | 0.702818i | ||||
\(742\) | −5.95462 | + | 48.6395i | −0.218601 | + | 1.78561i | ||||
\(743\) | −31.5613 | + | 31.5613i | −1.15787 | + | 1.15787i | −0.172939 | + | 0.984932i | \(0.555326\pi\) |
−0.984932 | + | 0.172939i | \(0.944674\pi\) | |||||||
\(744\) | 27.3901 | + | 12.0610i | 1.00417 | + | 0.442177i | ||||
\(745\) | −15.1604 | − | 15.1604i | −0.555435 | − | 0.555435i | ||||
\(746\) | 2.95789 | − | 21.2565i | 0.108296 | − | 0.778256i | ||||
\(747\) | 18.7001 | − | 45.1459i | 0.684199 | − | 1.65180i | ||||
\(748\) | 7.89521 | − | 0.921336i | 0.288677 | − | 0.0336874i | ||||
\(749\) | −8.08330 | − | 3.19349i | −0.295357 | − | 0.116688i | ||||
\(750\) | 14.6640 | + | 8.61088i | 0.535453 | + | 0.314425i | ||||
\(751\) | 21.8090 | 0.795822 | 0.397911 | − | 0.917424i | \(-0.369735\pi\) | ||||
0.397911 | + | 0.917424i | \(0.369735\pi\) | |||||||
\(752\) | −39.3270 | − | 24.2773i | −1.43411 | − | 0.885303i | ||||
\(753\) | − | 10.9543i | − | 0.399197i | ||||||
\(754\) | −19.9622 | + | 33.9949i | −0.726981 | + | 1.23802i | ||||
\(755\) | 15.8959 | − | 6.58432i | 0.578513 | − | 0.239628i | ||||
\(756\) | −14.6826 | + | 1.95866i | −0.534000 | + | 0.0712358i | ||||
\(757\) | 10.9057 | − | 26.3287i | 0.396374 | − | 0.956931i | −0.592145 | − | 0.805832i | \(-0.701719\pi\) |
0.988519 | − | 0.151100i | \(-0.0482814\pi\) | |||||||
\(758\) | −2.12924 | + | 15.3015i | −0.0773375 | + | 0.555776i | ||||
\(759\) | 26.9867 | − | 26.9867i | 0.979554 | − | 0.979554i | ||||
\(760\) | 11.9578 | + | 12.4982i | 0.433755 | + | 0.453358i | ||||
\(761\) | −30.2009 | + | 30.2009i | −1.09478 | + | 1.09478i | −0.0997698 | + | 0.995011i | \(0.531811\pi\) |
−0.995011 | + | 0.0997698i | \(0.968189\pi\) | |||||||
\(762\) | −0.629387 | + | 0.475623i | −0.0228003 | + | 0.0172300i | ||||
\(763\) | 0.407322 | − | 0.176622i | 0.0147461 | − | 0.00639414i | ||||
\(764\) | 12.6205 | + | 22.6224i | 0.456594 | + | 0.818451i | ||||
\(765\) | −11.4782 | − | 27.7108i | −0.414995 | − | 1.00189i | ||||
\(766\) | 9.01920 | − | 2.34563i | 0.325877 | − | 0.0847512i | ||||
\(767\) | − | 36.0219i | − | 1.30067i | ||||||
\(768\) | 27.8096 | − | 32.1317i | 1.00349 | − | 1.15945i | ||||
\(769\) | 3.97118i | 0.143204i | 0.997433 | + | 0.0716022i | \(0.0228112\pi\) | ||||
−0.997433 | + | 0.0716022i | \(0.977189\pi\) | |||||||
\(770\) | 8.34991 | − | 14.7707i | 0.300910 | − | 0.532298i | ||||
\(771\) | 71.3495 | − | 29.5539i | 2.56959 | − | 1.06436i | ||||
\(772\) | 5.44809 | − | 3.03935i | 0.196081 | − | 0.109389i | ||||
\(773\) | −13.9301 | + | 33.6303i | −0.501031 | + | 1.20960i | 0.447891 | + | 0.894088i | \(0.352175\pi\) |
−0.948923 | + | 0.315509i | \(0.897825\pi\) | |||||||
\(774\) | 2.25428 | − | 1.70354i | 0.0810284 | − | 0.0612325i | ||||
\(775\) | 9.69572 | + | 9.69572i | 0.348280 | + | 0.348280i | ||||
\(776\) | −5.53363 | − | 5.78372i | −0.198646 | − | 0.207624i | ||||
\(777\) | 0.783295 | + | 47.6204i | 0.0281006 | + | 1.70837i | ||||
\(778\) | −12.5031 | − | 1.73984i | −0.448260 | − | 0.0623764i | ||||
\(779\) | −3.42297 | − | 1.41784i | −0.122641 | − | 0.0507994i | ||||
\(780\) | 44.8385 | + | 35.4672i | 1.60547 | + | 1.26993i | ||||
\(781\) | −2.98631 | + | 1.23697i | −0.106859 | + | 0.0442623i | ||||
\(782\) | 28.5910 | + | 16.7890i | 1.02241 | + | 0.600372i | ||||
\(783\) | − | 21.0659i | − | 0.752833i | ||||||
\(784\) | 13.9166 | − | 24.2967i | 0.497022 | − | 0.867738i | ||||
\(785\) | 2.11621i | 0.0755308i | ||||||||
\(786\) | −9.45958 | + | 16.1093i | −0.337412 | + | 0.574600i | ||||
\(787\) | 4.94464 | − | 2.04814i | 0.176257 | − | 0.0730082i | −0.292810 | − | 0.956171i | \(-0.594590\pi\) |
0.469067 | + | 0.883163i | \(0.344590\pi\) | |||||||
\(788\) | 36.5236 | − | 4.26214i | 1.30110 | − | 0.151833i | ||||
\(789\) | −40.7192 | − | 16.8664i | −1.44964 | − | 0.600461i | ||||
\(790\) | 5.87351 | − | 42.2092i | 0.208970 | − | 1.50174i | ||||
\(791\) | −0.123953 | − | 7.53569i | −0.00440725 | − | 0.267938i | ||||
\(792\) | 7.21223 | − | 16.3787i | 0.256275 | − | 0.581991i | ||||
\(793\) | 15.8177 | + | 15.8177i | 0.561702 | + | 0.561702i | ||||
\(794\) | 9.56231 | + | 12.6537i | 0.339354 | + | 0.449064i | ||||
\(795\) | −38.6749 | + | 93.3695i | −1.37166 | + | 3.31147i | ||||
\(796\) | −18.8233 | − | 5.34205i | −0.667173 | − | 0.189344i | ||||
\(797\) | 32.9963 | − | 13.6675i | 1.16879 | − | 0.484128i | 0.287996 | − | 0.957632i | \(-0.407011\pi\) |
0.880792 | + | 0.473504i | \(0.157011\pi\) | |||||||
\(798\) | 18.2088 | + | 10.2935i | 0.644584 | + | 0.364385i | ||||
\(799\) | − | 29.4222i | − | 1.04088i | ||||||
\(800\) | 17.2081 | − | 9.10741i | 0.608397 | − | 0.321996i | ||||
\(801\) | − | 11.3793i | − | 0.402069i | ||||||
\(802\) | 3.02178 | + | 11.6190i | 0.106703 | + | 0.410283i | ||||
\(803\) | 5.15557 | + | 12.4466i | 0.181936 | + | 0.439232i | ||||
\(804\) | 23.8861 | + | 6.77888i | 0.842398 | + | 0.239073i | ||||
\(805\) | 64.9328 | − | 28.1559i | 2.28858 | − | 0.992366i | ||||
\(806\) | −12.5829 | − | 16.6509i | −0.443214 | − | 0.586501i | ||||
\(807\) | 58.8580 | − | 58.8580i | 2.07190 | − | 2.07190i | ||||
\(808\) | −8.54895 | − | 22.0017i | −0.300751 | − | 0.774016i | ||||
\(809\) | 26.9368 | − | 26.9368i | 0.947048 | − | 0.947048i | −0.0516192 | − | 0.998667i | \(-0.516438\pi\) |
0.998667 | + | 0.0516192i | \(0.0164382\pi\) | |||||||
\(810\) | 19.2382 | + | 2.67705i | 0.675963 | + | 0.0940618i | ||||
\(811\) | −8.88461 | + | 21.4493i | −0.311981 | + | 0.753188i | 0.687651 | + | 0.726042i | \(0.258642\pi\) |
−0.999631 | + | 0.0271465i | \(0.991358\pi\) | |||||||
\(812\) | 31.6332 | + | 24.1868i | 1.11011 | + | 0.848790i | ||||
\(813\) | −31.3246 | + | 12.9751i | −1.09860 | + | 0.455055i | ||||
\(814\) | −12.9004 | − | 7.57529i | −0.452160 | − | 0.265514i | ||||
\(815\) | − | 58.8637i | − | 2.06191i | ||||||
\(816\) | 26.7057 | + | 4.31958i | 0.934887 | + | 0.151216i | ||||
\(817\) | −1.03734 | −0.0362921 | ||||||||
\(818\) | 1.99362 | − | 3.39506i | 0.0697053 | − | 0.118705i | ||||
\(819\) | 36.9523 | + | 14.5989i | 1.29122 | + | 0.510125i | ||||
\(820\) | −6.34567 | + | 8.02235i | −0.221600 | + | 0.280153i | ||||
\(821\) | −13.0349 | + | 31.4690i | −0.454921 | + | 1.09828i | 0.515507 | + | 0.856886i | \(0.327604\pi\) |
−0.970428 | + | 0.241392i | \(0.922396\pi\) | |||||||
\(822\) | −9.12293 | − | 1.26948i | −0.318199 | − | 0.0442781i | ||||
\(823\) | 13.1260 | + | 13.1260i | 0.457542 | + | 0.457542i | 0.897848 | − | 0.440306i | \(-0.145130\pi\) |
−0.440306 | + | 0.897848i | \(0.645130\pi\) | |||||||
\(824\) | 9.32515 | + | 0.206066i | 0.324857 | + | 0.00717865i | ||||
\(825\) | 10.0883 | − | 10.0883i | 0.351230 | − | 0.351230i | ||||
\(826\) | −36.1157 | − | 4.42140i | −1.25663 | − | 0.153840i | ||||
\(827\) | −6.18534 | + | 14.9327i | −0.215085 | + | 0.519262i | −0.994191 | − | 0.107631i | \(-0.965674\pi\) |
0.779106 | + | 0.626893i | \(0.215674\pi\) | |||||||
\(828\) | 65.1906 | − | 36.3682i | 2.26553 | − | 1.26388i | ||||
\(829\) | −2.24820 | + | 0.931237i | −0.0780834 | + | 0.0323432i | −0.421383 | − | 0.906883i | \(-0.638455\pi\) |
0.343300 | + | 0.939226i | \(0.388455\pi\) | |||||||
\(830\) | 12.4662 | + | 47.9336i | 0.432706 | + | 1.66380i | ||||
\(831\) | −58.0065 | −2.01222 | ||||||||
\(832\) | −27.8527 | + | 10.1201i | −0.965620 | + | 0.350850i | ||||
\(833\) | 17.8155 | − | 0.586243i | 0.617270 | − | 0.0203121i | ||||
\(834\) | −70.8503 | + | 18.4261i | −2.45335 | + | 0.638044i | ||||
\(835\) | 43.4926 | − | 18.0152i | 1.50512 | − | 0.623443i | ||||
\(836\) | −5.73776 | + | 3.20095i | −0.198445 | + | 0.110707i | ||||
\(837\) | 10.3035 | + | 4.26784i | 0.356140 | + | 0.147518i | ||||
\(838\) | 8.21187 | + | 10.8667i | 0.283674 | + | 0.375384i | ||||
\(839\) | −7.35290 | − | 7.35290i | −0.253850 | − | 0.253850i | 0.568697 | − | 0.822547i | \(-0.307448\pi\) |
−0.822547 | + | 0.568697i | \(0.807448\pi\) | |||||||
\(840\) | 41.0631 | − | 40.6019i | 1.41681 | − | 1.40090i | ||||
\(841\) | −19.5379 | + | 19.5379i | −0.673721 | + | 0.673721i | ||||
\(842\) | −34.7000 | − | 4.82858i | −1.19584 | − | 0.166404i | ||||
\(843\) | −11.7331 | + | 28.3263i | −0.404110 | + | 0.975608i | ||||
\(844\) | −5.13981 | − | 4.06558i | −0.176920 | − | 0.139943i | ||||
\(845\) | −0.802467 | − | 1.93733i | −0.0276057 | − | 0.0666460i | ||||
\(846\) | −57.1224 | − | 33.5430i | −1.96391 | − | 1.15323i | ||||
\(847\) | −16.2832 | − | 15.7562i | −0.559496 | − | 0.541388i | ||||
\(848\) | −30.6526 | − | 42.4820i | −1.05262 | − | 1.45884i | ||||
\(849\) | − | 49.0607i | − | 1.68376i | ||||||
\(850\) | 10.6880 | + | 6.27615i | 0.366597 | + | 0.215270i | ||||
\(851\) | −23.8801 | − | 57.6516i | −0.818599 | − | 1.97627i | ||||
\(852\) | −10.9268 | + | 1.27511i | −0.374347 | + | 0.0436847i | ||||
\(853\) | −43.8860 | − | 18.1782i | −1.50263 | − | 0.622409i | −0.528607 | − | 0.848867i | \(-0.677285\pi\) |
−0.974021 | + | 0.226458i | \(0.927285\pi\) | |||||||
\(854\) | 17.8003 | − | 13.9174i | 0.609115 | − | 0.476242i | ||||
\(855\) | 17.5307 | + | 17.5307i | 0.599537 | + | 0.599537i | ||||
\(856\) | 8.66055 | − | 3.36514i | 0.296012 | − | 0.115018i | ||||
\(857\) | 34.8771 | − | 34.8771i | 1.19138 | − | 1.19138i | 0.214697 | − | 0.976681i | \(-0.431123\pi\) |
0.976681 | − | 0.214697i | \(-0.0688765\pi\) | |||||||
\(858\) | −17.3251 | + | 13.0924i | −0.591468 | + | 0.446967i | ||||
\(859\) | 23.3888 | + | 9.68796i | 0.798015 | + | 0.330549i | 0.744161 | − | 0.668000i | \(-0.232849\pi\) |
0.0538542 | + | 0.998549i | \(0.482849\pi\) | |||||||
\(860\) | −0.781890 | + | 2.75508i | −0.0266622 | + | 0.0939473i | ||||
\(861\) | −4.54488 | + | 11.5039i | −0.154889 | + | 0.392052i | ||||
\(862\) | −7.89544 | + | 2.05338i | −0.268920 | + | 0.0699383i | ||||
\(863\) | − | 33.9995i | − | 1.15736i | −0.815556 | − | 0.578678i | \(-0.803569\pi\) | ||
0.815556 | − | 0.578678i | \(-0.196431\pi\) | |||||||
\(864\) | 10.0959 | − | 12.1996i | 0.343471 | − | 0.415040i | ||||
\(865\) | 2.09737 | 0.0713128 | ||||||||
\(866\) | 33.4454 | − | 8.69817i | 1.13652 | − | 0.295576i | ||||
\(867\) | −10.6879 | − | 25.8028i | −0.362979 | − | 0.876309i | ||||
\(868\) | −18.2387 | + | 10.5719i | −0.619060 | + | 0.358834i | ||||
\(869\) | 14.9552 | + | 6.19464i | 0.507320 | + | 0.210139i | ||||
\(870\) | 49.5133 | + | 65.5205i | 1.67866 | + | 2.22135i | ||||
\(871\) | −12.2436 | − | 12.2436i | −0.414858 | − | 0.414858i | ||||
\(872\) | −0.191273 | + | 0.434373i | −0.00647731 | + | 0.0147097i | ||||
\(873\) | −8.11257 | − | 8.11257i | −0.274569 | − | 0.274569i | ||||
\(874\) | −27.1442 | − | 3.77717i | −0.918165 | − | 0.127765i | ||||
\(875\) | −10.9898 | + | 4.76534i | −0.371522 | + | 0.161098i | ||||
\(876\) | 5.31454 | + | 45.5419i | 0.179562 | + | 1.53872i | ||||
\(877\) | −3.64849 | + | 1.51126i | −0.123201 | + | 0.0510315i | −0.443432 | − | 0.896308i | \(-0.646239\pi\) |
0.320231 | + | 0.947339i | \(0.396239\pi\) | |||||||
\(878\) | 25.0418 | − | 42.6452i | 0.845119 | − | 1.43921i | ||||
\(879\) | 7.62631 | 0.257229 | ||||||||
\(880\) | 4.17660 | + | 17.6516i | 0.140793 | + | 0.595034i | ||||
\(881\) | 17.7682 | 0.598626 | 0.299313 | − | 0.954155i | \(-0.403243\pi\) | ||||
0.299313 | + | 0.954155i | \(0.403243\pi\) | |||||||
\(882\) | 19.1725 | − | 35.2566i | 0.645571 | − | 1.18715i | ||||
\(883\) | 7.04198 | + | 17.0008i | 0.236981 | + | 0.572124i | 0.996968 | − | 0.0778151i | \(-0.0247944\pi\) |
−0.759986 | + | 0.649939i | \(0.774794\pi\) | |||||||
\(884\) | −14.7963 | − | 11.7038i | −0.497652 | − | 0.393642i | ||||
\(885\) | −69.3284 | − | 28.7168i | −2.33045 | − | 0.965304i | ||||
\(886\) | 0.925773 | − | 6.65295i | 0.0311020 | − | 0.223510i | ||||
\(887\) | 28.9536 | − | 28.9536i | 0.972168 | − | 0.972168i | −0.0274550 | − | 0.999623i | \(-0.508740\pi\) |
0.999623 | + | 0.0274550i | \(0.00874029\pi\) | |||||||
\(888\) | −35.1983 | − | 36.7891i | −1.18118 | − | 1.23456i | ||||
\(889\) | −0.00913916 | − | 0.555615i | −0.000306518 | − | 0.0186347i | ||||
\(890\) | 6.95365 | + | 9.20170i | 0.233087 | + | 0.308442i | ||||
\(891\) | −2.82341 | + | 6.81632i | −0.0945878 | + | 0.228355i | ||||
\(892\) | 42.7239 | − | 23.8346i | 1.43050 | − | 0.798042i | ||||
\(893\) | 9.30669 | + | 22.4683i | 0.311437 | + | 0.751874i | ||||
\(894\) | 26.8244 | − | 6.97625i | 0.897143 | − | 0.233321i | ||||
\(895\) | 54.7047 | 1.82858 | ||||||||
\(896\) | 6.72770 | + | 29.1674i | 0.224757 | + | 0.974415i | ||||
\(897\) | −90.5801 | −3.02438 | ||||||||
\(898\) | −4.71047 | + | 1.22506i | −0.157190 | + | 0.0408807i | ||||
\(899\) | −11.4731 | − | 27.6985i | −0.382649 | − | 0.923797i | ||||
\(900\) | 24.3699 | − | 13.5954i | 0.812331 | − | 0.453179i | ||||
\(901\) | 12.7623 | − | 30.8110i | 0.425175 | − | 1.02646i | ||||
\(902\) | −2.34245 | − | 3.09974i | −0.0779951 | − | 0.103210i | ||||
\(903\) | 0.0569571 | + | 3.46271i | 0.00189542 | + | 0.115232i | ||||
\(904\) | 5.56996 | + | 5.82169i | 0.185254 | + | 0.193627i | ||||
\(905\) | 12.9444 | − | 12.9444i | 0.430286 | − | 0.430286i | ||||
\(906\) | −3.06558 | + | 22.0304i | −0.101847 | + | 0.731911i | ||||
\(907\) | 20.0839 | + | 8.31901i | 0.666874 | + | 0.276228i | 0.690328 | − | 0.723497i | \(-0.257466\pi\) |
−0.0234539 | + | 0.999725i | \(0.507466\pi\) | |||||||
\(908\) | −22.2718 | − | 17.6170i | −0.739117 | − | 0.584640i | ||||
\(909\) | −12.9469 | − | 31.2566i | −0.429422 | − | 1.03672i | ||||
\(910\) | −38.8018 | + | 10.7756i | −1.28627 | + | 0.357207i | ||||
\(911\) | 37.5867 | 1.24530 | 0.622651 | − | 0.782500i | \(-0.286056\pi\) | ||||
0.622651 | + | 0.782500i | \(0.286056\pi\) | |||||||
\(912\) | −21.7602 | + | 5.14876i | −0.720553 | + | 0.170492i | ||||
\(913\) | −18.8129 | −0.622617 | ||||||||
\(914\) | 17.8870 | − | 30.4609i | 0.591649 | − | 1.00756i | ||||
\(915\) | 43.0529 | − | 17.8331i | 1.42328 | − | 0.589544i | ||||
\(916\) | 4.51371 | + | 38.6794i | 0.149137 | + | 1.27800i | ||||
\(917\) | −5.23502 | − | 12.0729i | −0.172876 | − | 0.398683i | ||||
\(918\) | 9.98478 | + | 1.38941i | 0.329547 | + | 0.0458572i | ||||
\(919\) | −27.2040 | − | 27.2040i | −0.897378 | − | 0.897378i | 0.0978255 | − | 0.995204i | \(-0.468811\pi\) |
−0.995204 | + | 0.0978255i | \(0.968811\pi\) | |||||||
\(920\) | −30.4915 | + | 69.2450i | −1.00527 | + | 2.28294i | ||||
\(921\) | 7.28352 | + | 7.28352i | 0.240000 | + | 0.240000i | ||||
\(922\) | −30.6349 | − | 40.5389i | −1.00891 | − | 1.33508i | ||||
\(923\) | 7.08767 | + | 2.93581i | 0.233294 | + | 0.0966334i | ||||
\(924\) | 11.0000 | + | 18.9772i | 0.361873 | + | 0.624303i | ||||
\(925\) | −8.92699 | − | 21.5517i | −0.293518 | − | 0.708614i | ||||
\(926\) | −13.0783 | + | 3.40128i | −0.429778 | + | 0.111773i | ||||
\(927\) | 13.3690 | 0.439096 | ||||||||
\(928\) | −42.3815 | + | 3.99888i | −1.39124 | + | 0.131270i | ||||
\(929\) | 32.6893i | 1.07250i | 0.844059 | + | 0.536250i | \(0.180160\pi\) | ||||
−0.844059 | + | 0.536250i | \(0.819840\pi\) | |||||||
\(930\) | −42.0777 | + | 10.9432i | −1.37978 | + | 0.358841i | ||||
\(931\) | −13.4194 | + | 6.08300i | −0.439803 | + | 0.199362i | ||||
\(932\) | 11.3876 | − | 40.1254i | 0.373013 | − | 1.31435i | ||||
\(933\) | 2.77197 | + | 1.14819i | 0.0907502 | + | 0.0375899i | ||||
\(934\) | 16.5445 | − | 12.5026i | 0.541354 | − | 0.409097i | ||||
\(935\) | −8.16530 | + | 8.16530i | −0.267034 | + | 0.267034i | ||||
\(936\) | −39.5912 | + | 15.3835i | −1.29408 | + | 0.502826i | ||||
\(937\) | 15.2455 | + | 15.2455i | 0.498049 | + | 0.498049i | 0.910830 | − | 0.412781i | \(-0.135443\pi\) |
−0.412781 | + | 0.910830i | \(0.635443\pi\) | |||||||
\(938\) | −13.7783 | + | 10.7727i | −0.449876 | + | 0.351740i | ||||
\(939\) | 36.1619 | + | 14.9787i | 1.18010 | + | 0.488813i | ||||
\(940\) | 66.6883 | − | 7.78224i | 2.17513 | − | 0.253829i | ||||
\(941\) | 14.8950 | + | 35.9596i | 0.485562 | + | 1.17225i | 0.956931 | + | 0.290315i | \(0.0937600\pi\) |
−0.471369 | + | 0.881936i | \(0.656240\pi\) | |||||||
\(942\) | −2.35908 | − | 1.38528i | −0.0768631 | − | 0.0451349i | ||||
\(943\) | − | 16.2063i | − | 0.527750i | ||||||
\(944\) | 31.5436 | − | 22.7601i | 1.02666 | − | 0.740778i | ||||
\(945\) | 14.9638 | − | 15.4643i | 0.486773 | − | 0.503054i | ||||
\(946\) | −0.938053 | − | 0.550836i | −0.0304987 | − | 0.0179092i | ||||
\(947\) | 6.15679 | + | 14.8638i | 0.200069 | + | 0.483008i | 0.991791 | − | 0.127873i | \(-0.0408151\pi\) |
−0.791722 | + | 0.610882i | \(0.790815\pi\) | |||||||
\(948\) | 43.2086 | + | 34.1779i | 1.40335 | + | 1.11005i | ||||
\(949\) | 12.2362 | − | 29.5407i | 0.397202 | − | 0.958931i | ||||
\(950\) | −10.1472 | − | 1.41200i | −0.329218 | − | 0.0458115i | ||||
\(951\) | 16.1456 | − | 16.1456i | 0.523557 | − | 0.523557i | ||||
\(952\) | −13.5504 | + | 13.3982i | −0.439171 | + | 0.434239i | ||||
\(953\) | 11.6145 | + | 11.6145i | 0.376230 | + | 0.376230i | 0.869740 | − | 0.493510i | \(-0.164286\pi\) |
−0.493510 | + | 0.869740i | \(0.664286\pi\) | |||||||
\(954\) | −45.2689 | − | 59.9040i | −1.46564 | − | 1.93946i | ||||
\(955\) | −34.7680 | − | 14.4014i | −1.12507 | − | 0.466018i | ||||
\(956\) | −9.31209 | + | 5.19498i | −0.301175 | + | 0.168018i | ||||
\(957\) | −28.8201 | + | 11.9377i | −0.931620 | + | 0.385890i | ||||
\(958\) | −17.4667 | + | 4.54258i | −0.564323 | + | 0.146764i | ||||
\(959\) | 4.51168 | − | 4.66259i | 0.145690 | − | 0.150563i | ||||
\(960\) | −2.72704 | + | 61.6736i | −0.0880150 | + | 1.99051i | ||||
\(961\) | −15.1281 | −0.488002 | ||||||||
\(962\) | 8.93686 | + | 34.3631i | 0.288136 | + | 1.10791i | ||||
\(963\) | 12.3036 | − | 5.09632i | 0.396478 | − | 0.164226i | ||||
\(964\) | 34.7607 | − | 19.3921i | 1.11957 | − | 0.624579i | ||||
\(965\) | −3.46824 | + | 8.37306i | −0.111646 | + | 0.269538i | ||||
\(966\) | −11.1180 | + | 90.8159i | −0.357715 | + | 2.92195i | ||||
\(967\) | −13.9698 | + | 13.9698i | −0.449238 | + | 0.449238i | −0.895101 | − | 0.445863i | \(-0.852897\pi\) |
0.445863 | + | 0.895101i | \(0.352897\pi\) | |||||||
\(968\) | 24.2168 | + | 0.535140i | 0.778358 | + | 0.0172001i | ||||
\(969\) | −10.0659 | − | 10.0659i | −0.323363 | − | 0.323363i | ||||
\(970\) | 11.5175 | + | 1.60269i | 0.369804 | + | 0.0514591i | ||||
\(971\) | 3.44252 | − | 8.31098i | 0.110476 | − | 0.266712i | −0.858966 | − | 0.512032i | \(-0.828893\pi\) |
0.969442 | + | 0.245320i | \(0.0788930\pi\) | |||||||
\(972\) | −25.9976 | + | 32.8668i | −0.833874 | + | 1.05420i | ||||
\(973\) | 18.9476 | − | 47.9596i | 0.607431 | − | 1.53752i | ||||
\(974\) | 5.93750 | − | 10.1113i | 0.190250 | − | 0.323988i | ||||
\(975\) | −33.8612 | −1.08443 | ||||||||
\(976\) | −3.85694 | + | 23.8454i | −0.123458 | + | 0.763274i | ||||
\(977\) | 8.14594i | 0.260612i | 0.991474 | + | 0.130306i | \(0.0415959\pi\) | ||||
−0.991474 | + | 0.130306i | \(0.958404\pi\) | |||||||
\(978\) | 65.6193 | + | 38.5325i | 2.09828 | + | 1.23213i | ||||
\(979\) | −4.04749 | + | 1.67652i | −0.129358 | + | 0.0535820i | ||||
\(980\) | 6.04101 | + | 40.2255i | 0.192973 | + | 1.28496i | ||||
\(981\) | −0.260330 | + | 0.628492i | −0.00831169 | + | 0.0200662i | ||||
\(982\) | 5.99316 | + | 0.833962i | 0.191249 | + | 0.0266128i | ||||
\(983\) | 19.5156 | − | 19.5156i | 0.622450 | − | 0.622450i | −0.323707 | − | 0.946157i | \(-0.604929\pi\) |
0.946157 | + | 0.323707i | \(0.104929\pi\) | |||||||
\(984\) | −4.78915 | − | 12.3254i | −0.152673 | − | 0.392920i | ||||
\(985\) | −37.7731 | + | 37.7731i | −1.20355 | + | 1.20355i | ||||
\(986\) | −16.3389 | − | 21.6211i | −0.520337 | − | 0.688557i | ||||
\(987\) | 74.4894 | − | 32.2998i | 2.37102 | − | 1.02812i | ||||
\(988\) | 15.0013 | + | 4.25736i | 0.477254 | + | 0.135445i | ||||
\(989\) | −1.73644 | − | 4.19213i | −0.0552154 | − | 0.133302i | ||||
\(990\) | 6.54380 | + | 25.1616i | 0.207976 | + | 0.799688i | ||||
\(991\) | 13.2077i | 0.419558i | 0.977749 | + | 0.209779i | \(0.0672744\pi\) | ||||
−0.977749 | + | 0.209779i | \(0.932726\pi\) | |||||||
\(992\) | 6.63039 | − | 21.5393i | 0.210515 | − | 0.683872i | ||||
\(993\) | − | 9.32066i | − | 0.295782i | ||||||
\(994\) | 3.81341 | − | 6.74578i | 0.120954 | − | 0.213963i | ||||
\(995\) | 26.2614 | − | 10.8778i | 0.832543 | − | 0.344850i | ||||
\(996\) | −61.5952 | − | 17.4807i | −1.95172 | − | 0.553898i | ||||
\(997\) | −2.46442 | + | 5.94965i | −0.0780491 | + | 0.188427i | −0.958088 | − | 0.286475i | \(-0.907517\pi\) |
0.880039 | + | 0.474902i | \(0.157517\pi\) | |||||||
\(998\) | −31.2924 | − | 41.4090i | −0.990544 | − | 1.31078i | ||||
\(999\) | −13.4160 | − | 13.4160i | −0.424464 | − | 0.424464i |
(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 | 224.2.x.b.27.4 | yes | 112 | |
4.3 | odd | 2 | 896.2.x.b.783.4 | 112 | |||
7.6 | odd | 2 | inner | 224.2.x.b.27.3 | ✓ | 112 | |
28.27 | even | 2 | 896.2.x.b.783.25 | 112 | |||
32.13 | even | 8 | 896.2.x.b.111.25 | 112 | |||
32.19 | odd | 8 | inner | 224.2.x.b.83.3 | yes | 112 | |
224.13 | odd | 8 | 896.2.x.b.111.4 | 112 | |||
224.83 | even | 8 | inner | 224.2.x.b.83.4 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.x.b.27.3 | ✓ | 112 | 7.6 | odd | 2 | inner | |
224.2.x.b.27.4 | yes | 112 | 1.1 | even | 1 | trivial | |
224.2.x.b.83.3 | yes | 112 | 32.19 | odd | 8 | inner | |
224.2.x.b.83.4 | yes | 112 | 224.83 | even | 8 | inner | |
896.2.x.b.111.4 | 112 | 224.13 | odd | 8 | |||
896.2.x.b.111.25 | 112 | 32.13 | even | 8 | |||
896.2.x.b.783.4 | 112 | 4.3 | odd | 2 | |||
896.2.x.b.783.25 | 112 | 28.27 | even | 2 |