Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 457.4 | ||
Character | \(\chi\) | \(=\) | 882.457 |
Dual form | 882.2.y.b.193.4 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.988831 | − | 0.149042i | −0.699209 | − | 0.105389i | ||||
\(3\) | −1.34126 | − | 1.09591i | −0.774376 | − | 0.632726i | ||||
\(4\) | 0.955573 | + | 0.294755i | 0.477786 | + | 0.147378i | ||||
\(5\) | −3.04871 | − | 1.46818i | −1.36343 | − | 0.656591i | −0.398028 | − | 0.917373i | \(-0.630305\pi\) |
−0.965398 | + | 0.260782i | \(0.916020\pi\) | |||||||
\(6\) | 1.16294 | + | 1.28358i | 0.474768 | + | 0.524018i | ||||
\(7\) | 2.45568 | + | 0.984711i | 0.928158 | + | 0.372186i | ||||
\(8\) | −0.900969 | − | 0.433884i | −0.318541 | − | 0.153401i | ||||
\(9\) | 0.597949 | + | 2.93981i | 0.199316 | + | 0.979935i | ||||
\(10\) | 2.79584 | + | 1.90617i | 0.884122 | + | 0.602784i | ||||
\(11\) | 3.56633 | − | 4.47204i | 1.07529 | − | 1.34837i | 0.141748 | − | 0.989903i | \(-0.454728\pi\) |
0.933542 | − | 0.358468i | \(-0.116701\pi\) | |||||||
\(12\) | −0.958644 | − | 1.44257i | −0.276737 | − | 0.416433i | ||||
\(13\) | −6.23350 | − | 0.939548i | −1.72886 | − | 0.260584i | −0.792059 | − | 0.610445i | \(-0.790991\pi\) |
−0.936802 | + | 0.349861i | \(0.886229\pi\) | |||||||
\(14\) | −2.28148 | − | 1.33971i | −0.609752 | − | 0.358053i | ||||
\(15\) | 2.48011 | + | 5.31034i | 0.640362 | + | 1.37112i | ||||
\(16\) | 0.826239 | + | 0.563320i | 0.206560 | + | 0.140830i | ||||
\(17\) | −4.11992 | + | 1.27083i | −0.999226 | + | 0.308221i | −0.750871 | − | 0.660449i | \(-0.770366\pi\) |
−0.248355 | + | 0.968669i | \(0.579890\pi\) | |||||||
\(18\) | −0.153116 | − | 2.99609i | −0.0360897 | − | 0.706185i | ||||
\(19\) | 3.59473 | − | 6.22625i | 0.824688 | − | 1.42840i | −0.0774703 | − | 0.996995i | \(-0.524684\pi\) |
0.902158 | − | 0.431406i | \(-0.141982\pi\) | |||||||
\(20\) | −2.48051 | − | 2.30158i | −0.554660 | − | 0.514649i | ||||
\(21\) | −2.21454 | − | 4.01196i | −0.483252 | − | 0.875481i | ||||
\(22\) | −4.19302 | + | 3.89056i | −0.893955 | + | 0.829469i | ||||
\(23\) | −0.593690 | − | 2.60113i | −0.123793 | − | 0.542372i | −0.998349 | − | 0.0574470i | \(-0.981704\pi\) |
0.874556 | − | 0.484925i | \(-0.161153\pi\) | |||||||
\(24\) | 0.732933 | + | 1.56933i | 0.149609 | + | 0.320339i | ||||
\(25\) | 4.02164 | + | 5.04298i | 0.804328 | + | 1.00860i | ||||
\(26\) | 6.02384 | + | 1.85811i | 1.18137 | + | 0.364405i | ||||
\(27\) | 2.41977 | − | 4.59834i | 0.465684 | − | 0.884951i | ||||
\(28\) | 2.05633 | + | 1.66479i | 0.388610 | + | 0.314615i | ||||
\(29\) | −3.57762 | − | 3.31955i | −0.664348 | − | 0.616425i | 0.274159 | − | 0.961684i | \(-0.411601\pi\) |
−0.938507 | + | 0.345259i | \(0.887791\pi\) | |||||||
\(30\) | −1.66095 | − | 5.62067i | −0.303246 | − | 1.02619i | ||||
\(31\) | −2.50159 | + | 4.33289i | −0.449299 | + | 0.778209i | −0.998341 | − | 0.0575859i | \(-0.981660\pi\) |
0.549041 | + | 0.835795i | \(0.314993\pi\) | |||||||
\(32\) | −0.733052 | − | 0.680173i | −0.129586 | − | 0.120239i | ||||
\(33\) | −9.68434 | + | 2.08977i | −1.68583 | + | 0.363783i | ||||
\(34\) | 4.26331 | − | 0.642590i | 0.731151 | − | 0.110203i | ||||
\(35\) | −6.04091 | − | 6.60748i | −1.02110 | − | 1.11687i | ||||
\(36\) | −0.295139 | + | 2.98545i | −0.0491898 | + | 0.497574i | ||||
\(37\) | 1.47081 | + | 1.36471i | 0.241800 | + | 0.224357i | 0.791758 | − | 0.610835i | \(-0.209166\pi\) |
−0.549959 | + | 0.835192i | \(0.685356\pi\) | |||||||
\(38\) | −4.48255 | + | 5.62095i | −0.727166 | + | 0.911838i | ||||
\(39\) | 7.33107 | + | 8.09155i | 1.17391 | + | 1.29568i | ||||
\(40\) | 2.10977 | + | 2.64557i | 0.333585 | + | 0.418302i | ||||
\(41\) | 0.162715 | + | 2.17128i | 0.0254118 | + | 0.339097i | 0.995390 | + | 0.0959066i | \(0.0305750\pi\) |
−0.969979 | + | 0.243191i | \(0.921806\pi\) | |||||||
\(42\) | 1.59185 | + | 4.29721i | 0.245628 | + | 0.663074i | ||||
\(43\) | −0.805302 | + | 10.7460i | −0.122807 | + | 1.63875i | 0.506961 | + | 0.861969i | \(0.330769\pi\) |
−0.629769 | + | 0.776783i | \(0.716850\pi\) | |||||||
\(44\) | 4.72605 | − | 3.22216i | 0.712478 | − | 0.485760i | ||||
\(45\) | 2.49320 | − | 9.84052i | 0.371664 | − | 1.46694i | ||||
\(46\) | 0.199381 | + | 2.66056i | 0.0293972 | + | 0.392278i | ||||
\(47\) | −0.805743 | − | 0.121446i | −0.117530 | − | 0.0177148i | 0.0900140 | − | 0.995941i | \(-0.471309\pi\) |
−0.207544 | + | 0.978226i | \(0.566547\pi\) | |||||||
\(48\) | −0.490850 | − | 1.66104i | −0.0708481 | − | 0.239751i | ||||
\(49\) | 5.06069 | + | 4.83626i | 0.722955 | + | 0.690895i | ||||
\(50\) | −3.22511 | − | 5.58605i | −0.456099 | − | 0.789986i | ||||
\(51\) | 6.91859 | + | 2.81056i | 0.968796 | + | 0.393558i | ||||
\(52\) | −5.67962 | − | 2.73516i | −0.787622 | − | 0.379299i | ||||
\(53\) | −6.93901 | + | 6.43846i | −0.953146 | + | 0.884390i | −0.993389 | − | 0.114800i | \(-0.963377\pi\) |
0.0402426 | + | 0.999190i | \(0.487187\pi\) | |||||||
\(54\) | −3.07809 | + | 4.18633i | −0.418875 | + | 0.569688i | ||||
\(55\) | −17.4385 | + | 8.39794i | −2.35141 | + | 1.13238i | ||||
\(56\) | −1.78524 | − | 1.95267i | −0.238562 | − | 0.260937i | ||||
\(57\) | −11.6449 | + | 4.41151i | −1.54240 | + | 0.584318i | ||||
\(58\) | 3.04291 | + | 3.81569i | 0.399554 | + | 0.501025i | ||||
\(59\) | −0.523775 | + | 6.98930i | −0.0681897 | + | 0.909929i | 0.853274 | + | 0.521464i | \(0.174614\pi\) |
−0.921463 | + | 0.388465i | \(0.873005\pi\) | |||||||
\(60\) | 0.804678 | + | 5.80544i | 0.103884 | + | 0.749479i | ||||
\(61\) | −1.32431 | + | 0.408496i | −0.169561 | + | 0.0523025i | −0.378373 | − | 0.925653i | \(-0.623516\pi\) |
0.208812 | + | 0.977956i | \(0.433040\pi\) | |||||||
\(62\) | 3.11944 | − | 3.91165i | 0.396169 | − | 0.496780i | ||||
\(63\) | −1.42649 | + | 7.80802i | −0.179721 | + | 0.983718i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.0779362 | + | 0.0977289i | ||||
\(65\) | 17.6247 | + | 12.0163i | 2.18608 | + | 1.49044i | ||||
\(66\) | 9.88764 | − | 0.623054i | 1.21708 | − | 0.0766927i | ||||
\(67\) | −0.0658391 | + | 0.114037i | −0.00804353 | + | 0.0139318i | −0.870019 | − | 0.493018i | \(-0.835894\pi\) |
0.861976 | + | 0.506950i | \(0.169227\pi\) | |||||||
\(68\) | −4.31146 | −0.522842 | ||||||||
\(69\) | −2.05432 | + | 4.13941i | −0.247311 | + | 0.498327i | ||||
\(70\) | 4.98865 | + | 7.43403i | 0.596258 | + | 0.888537i | ||||
\(71\) | 0.166975 | + | 0.731567i | 0.0198163 | + | 0.0868211i | 0.983869 | − | 0.178890i | \(-0.0572505\pi\) |
−0.964053 | + | 0.265711i | \(0.914393\pi\) | |||||||
\(72\) | 0.736800 | − | 2.90811i | 0.0868327 | − | 0.342724i | ||||
\(73\) | −0.595543 | + | 1.51742i | −0.0697030 | + | 0.177600i | −0.961480 | − | 0.274875i | \(-0.911364\pi\) |
0.891777 | + | 0.452475i | \(0.149459\pi\) | |||||||
\(74\) | −1.25098 | − | 1.56868i | −0.145424 | − | 0.182356i | ||||
\(75\) | 0.132605 | − | 11.1713i | 0.0153119 | − | 1.28995i | ||||
\(76\) | 5.27025 | − | 4.89007i | 0.604539 | − | 0.560930i | ||||
\(77\) | 13.1614 | − | 7.47007i | 1.49988 | − | 0.851294i | ||||
\(78\) | −6.04320 | − | 9.09381i | −0.684258 | − | 1.02967i | ||||
\(79\) | −6.12186 | − | 10.6034i | −0.688764 | − | 1.19297i | −0.972238 | − | 0.233994i | \(-0.924820\pi\) |
0.283474 | − | 0.958980i | \(-0.408513\pi\) | |||||||
\(80\) | −1.69191 | − | 2.93047i | −0.189161 | − | 0.327637i | ||||
\(81\) | −8.28491 | + | 3.51571i | −0.920546 | + | 0.390634i | ||||
\(82\) | 0.162715 | − | 2.17128i | 0.0179689 | − | 0.239778i | ||||
\(83\) | −1.97939 | + | 0.298345i | −0.217266 | + | 0.0327476i | −0.256773 | − | 0.966472i | \(-0.582659\pi\) |
0.0395070 | + | 0.999219i | \(0.487421\pi\) | |||||||
\(84\) | −0.933607 | − | 4.48647i | −0.101865 | − | 0.489514i | ||||
\(85\) | 14.4262 | + | 2.17441i | 1.56475 | + | 0.235848i | ||||
\(86\) | 2.39792 | − | 10.5060i | 0.258574 | − | 1.13289i | ||||
\(87\) | 1.16058 | + | 8.37314i | 0.124427 | + | 0.897695i | ||||
\(88\) | −5.15350 | + | 2.48179i | −0.549365 | + | 0.264560i | ||||
\(89\) | 8.35135 | − | 1.25876i | 0.885241 | − | 0.133429i | 0.309344 | − | 0.950950i | \(-0.399891\pi\) |
0.575898 | + | 0.817522i | \(0.304653\pi\) | |||||||
\(90\) | −3.93200 | + | 9.35902i | −0.414469 | + | 0.986527i | ||||
\(91\) | −14.3823 | − | 8.44542i | −1.50767 | − | 0.885321i | ||||
\(92\) | 0.199381 | − | 2.66056i | 0.0207869 | − | 0.277382i | ||||
\(93\) | 8.10375 | − | 3.06999i | 0.840320 | − | 0.318343i | ||||
\(94\) | 0.778643 | + | 0.240180i | 0.0803109 | + | 0.0247726i | ||||
\(95\) | −20.1006 | + | 13.7043i | −2.06228 | + | 1.40604i | ||||
\(96\) | 0.237802 | + | 1.71565i | 0.0242706 | + | 0.175103i | ||||
\(97\) | −4.06169 | + | 7.03505i | −0.412402 | + | 0.714301i | −0.995152 | − | 0.0983507i | \(-0.968643\pi\) |
0.582750 | + | 0.812651i | \(0.301977\pi\) | |||||||
\(98\) | −4.28336 | − | 5.53650i | −0.432684 | − | 0.559271i | ||||
\(99\) | 15.2794 | + | 7.81027i | 1.53564 | + | 0.784962i | ||||
\(100\) | 2.35653 | + | 6.00433i | 0.235653 | + | 0.600433i | ||||
\(101\) | −7.36355 | − | 3.54610i | −0.732700 | − | 0.352850i | 0.0300453 | − | 0.999549i | \(-0.490435\pi\) |
−0.762746 | + | 0.646699i | \(0.776149\pi\) | |||||||
\(102\) | −6.42242 | − | 3.81033i | −0.635914 | − | 0.377279i | ||||
\(103\) | 2.12904 | + | 1.02529i | 0.209781 | + | 0.101025i | 0.535824 | − | 0.844330i | \(-0.320001\pi\) |
−0.326043 | + | 0.945355i | \(0.605715\pi\) | |||||||
\(104\) | 5.20853 | + | 3.55112i | 0.510739 | + | 0.348216i | ||||
\(105\) | 0.861203 | + | 15.4827i | 0.0840448 | + | 1.51095i | ||||
\(106\) | 7.82111 | − | 5.33234i | 0.759653 | − | 0.517923i | ||||
\(107\) | 4.64642 | − | 0.700335i | 0.449186 | − | 0.0677040i | 0.0794463 | − | 0.996839i | \(-0.474685\pi\) |
0.369740 | + | 0.929135i | \(0.379447\pi\) | |||||||
\(108\) | 3.66765 | − | 3.68081i | 0.352920 | − | 0.354186i | ||||
\(109\) | −16.9262 | − | 2.55122i | −1.62124 | − | 0.244363i | −0.725266 | − | 0.688469i | \(-0.758283\pi\) |
−0.895974 | + | 0.444106i | \(0.853521\pi\) | |||||||
\(110\) | 18.4954 | − | 5.70507i | 1.76346 | − | 0.543957i | ||||
\(111\) | −0.477131 | − | 3.44231i | −0.0452872 | − | 0.326730i | ||||
\(112\) | 1.47427 | + | 2.19694i | 0.139305 | + | 0.207591i | ||||
\(113\) | −6.17382 | + | 15.7306i | −0.580784 | + | 1.47981i | 0.274465 | + | 0.961597i | \(0.411499\pi\) |
−0.855249 | + | 0.518217i | \(0.826596\pi\) | |||||||
\(114\) | 12.1723 | − | 2.62665i | 1.14004 | − | 0.246009i | ||||
\(115\) | −2.00894 | + | 8.80173i | −0.187334 | + | 0.820766i | ||||
\(116\) | −2.44023 | − | 4.22660i | −0.226569 | − | 0.392430i | ||||
\(117\) | −0.965226 | − | 18.8871i | −0.0892352 | − | 1.74611i | ||||
\(118\) | 1.55963 | − | 6.83317i | 0.143575 | − | 0.629044i | ||||
\(119\) | −11.3686 | − | 0.936191i | −1.04216 | − | 0.0858205i | ||||
\(120\) | 0.0695651 | − | 5.86053i | 0.00635040 | − | 0.534991i | ||||
\(121\) | −4.83268 | − | 21.1734i | −0.439335 | − | 1.92485i | ||||
\(122\) | 1.37040 | − | 0.206555i | 0.124070 | − | 0.0187006i | ||||
\(123\) | 2.16129 | − | 3.09057i | 0.194877 | − | 0.278668i | ||||
\(124\) | −3.66760 | + | 3.40303i | −0.329360 | + | 0.305601i | ||||
\(125\) | −1.09197 | − | 4.78422i | −0.0976684 | − | 0.427913i | ||||
\(126\) | 2.57428 | − | 7.50820i | 0.229335 | − | 0.668884i | ||||
\(127\) | −0.819514 | + | 3.59052i | −0.0727201 | + | 0.318607i | −0.998185 | − | 0.0602265i | \(-0.980818\pi\) |
0.925465 | + | 0.378834i | \(0.123675\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 12.8568 | − | 13.5306i | 1.13198 | − | 1.19131i | ||||
\(130\) | −15.6369 | − | 14.5089i | −1.37145 | − | 1.27252i | ||||
\(131\) | −12.9710 | + | 6.24650i | −1.13328 | + | 0.545759i | −0.903971 | − | 0.427594i | \(-0.859361\pi\) |
−0.229310 | + | 0.973353i | \(0.573647\pi\) | |||||||
\(132\) | −9.87006 | − | 0.857581i | −0.859079 | − | 0.0746428i | ||||
\(133\) | 14.9586 | − | 11.7499i | 1.29707 | − | 1.01884i | ||||
\(134\) | 0.0821000 | − | 0.102950i | 0.00709236 | − | 0.00889354i | ||||
\(135\) | −14.1284 | + | 10.4664i | −1.21598 | + | 0.900801i | ||||
\(136\) | 4.26331 | + | 0.642590i | 0.365576 | + | 0.0551016i | ||||
\(137\) | 12.1825 | − | 5.86679i | 1.04082 | − | 0.501234i | 0.166228 | − | 0.986087i | \(-0.446841\pi\) |
0.874595 | + | 0.484853i | \(0.161127\pi\) | |||||||
\(138\) | 2.64832 | − | 3.78700i | 0.225440 | − | 0.322371i | ||||
\(139\) | 0.853979 | + | 11.3956i | 0.0724336 | + | 0.966559i | 0.908488 | + | 0.417912i | \(0.137238\pi\) |
−0.836054 | + | 0.548647i | \(0.815143\pi\) | |||||||
\(140\) | −3.82494 | − | 8.09452i | −0.323267 | − | 0.684112i | ||||
\(141\) | 0.947615 | + | 1.04592i | 0.0798036 | + | 0.0880819i | ||||
\(142\) | −0.0560760 | − | 0.748283i | −0.00470580 | − | 0.0627945i | ||||
\(143\) | −26.4324 | + | 24.5257i | −2.21039 | + | 2.05094i | ||||
\(144\) | −1.16200 | + | 2.76582i | −0.0968335 | + | 0.230485i | ||||
\(145\) | 6.03344 | + | 15.3730i | 0.501050 | + | 1.27666i | ||||
\(146\) | 0.815050 | − | 1.41171i | 0.0674540 | − | 0.116834i | ||||
\(147\) | −1.48757 | − | 12.0328i | −0.122693 | − | 0.992445i | ||||
\(148\) | 1.00321 | + | 1.73761i | 0.0824633 | + | 0.142831i | ||||
\(149\) | −4.85114 | + | 6.08313i | −0.397421 | + | 0.498350i | −0.939772 | − | 0.341802i | \(-0.888963\pi\) |
0.542351 | + | 0.840152i | \(0.317534\pi\) | |||||||
\(150\) | −1.79612 | + | 11.0268i | −0.146653 | + | 0.900332i | ||||
\(151\) | −0.251138 | − | 1.10031i | −0.0204373 | − | 0.0895416i | 0.963681 | − | 0.267057i | \(-0.0860512\pi\) |
−0.984118 | + | 0.177515i | \(0.943194\pi\) | |||||||
\(152\) | −5.94021 | + | 4.04997i | −0.481815 | + | 0.328496i | ||||
\(153\) | −6.19948 | − | 11.3519i | −0.501198 | − | 0.917744i | ||||
\(154\) | −14.1278 | + | 5.42503i | −1.13845 | + | 0.437161i | ||||
\(155\) | 13.9881 | − | 9.53693i | 1.12355 | − | 0.766025i | ||||
\(156\) | 4.62034 | + | 9.89293i | 0.369924 | + | 0.792068i | ||||
\(157\) | 1.22247 | − | 16.3127i | 0.0975636 | − | 1.30190i | −0.706653 | − | 0.707560i | \(-0.749796\pi\) |
0.804217 | − | 0.594336i | \(-0.202585\pi\) | |||||||
\(158\) | 4.47314 | + | 11.3974i | 0.355864 | + | 0.906726i | ||||
\(159\) | 16.3630 | − | 1.03109i | 1.29767 | − | 0.0817707i | ||||
\(160\) | 1.23625 | + | 3.14991i | 0.0977339 | + | 0.249022i | ||||
\(161\) | 1.10345 | − | 6.97213i | 0.0869638 | − | 0.549481i | ||||
\(162\) | 8.71637 | − | 2.24164i | 0.684822 | − | 0.176120i | ||||
\(163\) | 1.07526 | − | 14.3483i | 0.0842206 | − | 1.12385i | −0.781697 | − | 0.623659i | \(-0.785645\pi\) |
0.865917 | − | 0.500187i | \(-0.166736\pi\) | |||||||
\(164\) | −0.484511 | + | 2.12278i | −0.0378339 | + | 0.165761i | ||||
\(165\) | 32.5929 | + | 7.84727i | 2.53736 | + | 0.610909i | ||||
\(166\) | 2.00175 | 0.155366 | ||||||||
\(167\) | 7.96108 | − | 2.45567i | 0.616047 | − | 0.190025i | 0.0290018 | − | 0.999579i | \(-0.490767\pi\) |
0.587045 | + | 0.809554i | \(0.300291\pi\) | |||||||
\(168\) | 0.254506 | + | 4.57550i | 0.0196356 | + | 0.353008i | ||||
\(169\) | 25.5513 | + | 7.88152i | 1.96548 | + | 0.606271i | ||||
\(170\) | −13.9410 | − | 4.30024i | −1.06923 | − | 0.329813i | ||||
\(171\) | 20.4534 | + | 6.84482i | 1.56411 | + | 0.523437i | ||||
\(172\) | −3.93697 | + | 10.0312i | −0.300191 | + | 0.764874i | ||||
\(173\) | −14.4517 | + | 13.4093i | −1.09875 | + | 1.01949i | −0.0990434 | + | 0.995083i | \(0.531578\pi\) |
−0.999702 | + | 0.0244038i | \(0.992231\pi\) | |||||||
\(174\) | 0.100333 | − | 8.45260i | 0.00760625 | − | 0.640790i | ||||
\(175\) | 4.90997 | + | 16.3441i | 0.371159 | + | 1.23550i | ||||
\(176\) | 5.46583 | − | 1.68599i | 0.412003 | − | 0.127086i | ||||
\(177\) | 8.36218 | − | 8.80044i | 0.628540 | − | 0.661482i | ||||
\(178\) | −8.44568 | −0.633031 | ||||||||
\(179\) | 1.41643 | − | 0.436912i | 0.105869 | − | 0.0326563i | −0.241368 | − | 0.970434i | \(-0.577596\pi\) |
0.347237 | + | 0.937777i | \(0.387120\pi\) | |||||||
\(180\) | 5.28297 | − | 8.66845i | 0.393770 | − | 0.646108i | ||||
\(181\) | −7.98113 | − | 10.0080i | −0.593233 | − | 0.743890i | 0.391074 | − | 0.920359i | \(-0.372104\pi\) |
−0.984306 | + | 0.176469i | \(0.943532\pi\) | |||||||
\(182\) | 12.9629 | + | 10.4947i | 0.960874 | + | 0.777916i | ||||
\(183\) | 2.22392 | + | 0.903431i | 0.164397 | + | 0.0667835i | ||||
\(184\) | −0.593690 | + | 2.60113i | −0.0437674 | + | 0.191758i | ||||
\(185\) | −2.48043 | − | 6.32003i | −0.182365 | − | 0.464658i | ||||
\(186\) | −8.47080 | + | 1.82790i | −0.621109 | + | 0.134028i | ||||
\(187\) | −9.00981 | + | 22.9566i | −0.658862 | + | 1.67875i | ||||
\(188\) | −0.734149 | − | 0.353548i | −0.0535433 | − | 0.0257851i | ||||
\(189\) | 10.4702 | − | 8.90926i | 0.761595 | − | 0.648053i | ||||
\(190\) | 21.9186 | − | 10.5554i | 1.59014 | − | 0.765772i | ||||
\(191\) | −1.55499 | − | 20.7500i | −0.112515 | − | 1.50141i | −0.712652 | − | 0.701517i | \(-0.752506\pi\) |
0.600137 | − | 0.799897i | \(-0.295113\pi\) | |||||||
\(192\) | 0.0205582 | − | 1.73193i | 0.00148366 | − | 0.124991i | ||||
\(193\) | −6.05539 | + | 4.12849i | −0.435876 | + | 0.297175i | −0.761308 | − | 0.648390i | \(-0.775443\pi\) |
0.325432 | + | 0.945565i | \(0.394490\pi\) | |||||||
\(194\) | 5.06484 | − | 6.35111i | 0.363634 | − | 0.455983i | ||||
\(195\) | −10.4705 | − | 35.4322i | −0.749805 | − | 2.53735i | ||||
\(196\) | 3.41034 | + | 6.11307i | 0.243596 | + | 0.436648i | ||||
\(197\) | 0.958533 | 0.0682927 | 0.0341463 | − | 0.999417i | \(-0.489129\pi\) | ||||
0.0341463 | + | 0.999417i | \(0.489129\pi\) | |||||||
\(198\) | −13.9447 | − | 10.0003i | −0.991006 | − | 0.710691i | ||||
\(199\) | −0.353435 | − | 4.71626i | −0.0250543 | − | 0.334327i | −0.995620 | − | 0.0934909i | \(-0.970197\pi\) |
0.970566 | − | 0.240836i | \(-0.0774216\pi\) | |||||||
\(200\) | −1.43531 | − | 6.28849i | −0.101492 | − | 0.444664i | ||||
\(201\) | 0.213281 | − | 0.0807987i | 0.0150437 | − | 0.00569910i | ||||
\(202\) | 6.75278 | + | 4.60397i | 0.475124 | + | 0.323934i | ||||
\(203\) | −5.51669 | − | 11.6747i | −0.387196 | − | 0.819401i | ||||
\(204\) | 5.78279 | + | 4.72499i | 0.404876 | + | 0.330815i | ||||
\(205\) | 2.69177 | − | 6.85851i | 0.188001 | − | 0.479019i | ||||
\(206\) | −1.95245 | − | 1.33116i | −0.136034 | − | 0.0927463i | ||||
\(207\) | 7.29181 | − | 3.30067i | 0.506816 | − | 0.229413i | ||||
\(208\) | −4.62109 | − | 4.28774i | −0.320415 | − | 0.297302i | ||||
\(209\) | −15.0241 | − | 38.2807i | −1.03924 | − | 2.64793i | ||||
\(210\) | 1.45599 | − | 15.4381i | 0.100473 | − | 1.06533i | ||||
\(211\) | −0.206924 | + | 0.527233i | −0.0142452 | + | 0.0362962i | −0.937819 | − | 0.347123i | \(-0.887158\pi\) |
0.923574 | + | 0.383420i | \(0.125254\pi\) | |||||||
\(212\) | −8.52850 | + | 4.10711i | −0.585740 | + | 0.282077i | ||||
\(213\) | 0.577777 | − | 1.16421i | 0.0395886 | − | 0.0797705i | ||||
\(214\) | −4.69890 | −0.321210 | ||||||||
\(215\) | 18.2322 | − | 31.5792i | 1.24343 | − | 2.15368i | ||||
\(216\) | −4.17528 | + | 3.09306i | −0.284092 | + | 0.210456i | ||||
\(217\) | −10.4097 | + | 8.17682i | −0.706659 | + | 0.555079i | ||||
\(218\) | 16.3570 | + | 5.04545i | 1.10783 | + | 0.341721i | ||||
\(219\) | 2.46173 | − | 1.38259i | 0.166349 | − | 0.0934266i | ||||
\(220\) | −19.1391 | + | 2.88475i | −1.29036 | + | 0.194490i | ||||
\(221\) | 26.8755 | − | 4.05083i | 1.80784 | − | 0.272488i | ||||
\(222\) | −0.0412484 | + | 3.47498i | −0.00276841 | + | 0.233225i | ||||
\(223\) | −11.4204 | − | 3.52274i | −0.764769 | − | 0.235900i | −0.112258 | − | 0.993679i | \(-0.535808\pi\) |
−0.652511 | + | 0.757779i | \(0.726284\pi\) | |||||||
\(224\) | −1.13036 | − | 2.39213i | −0.0755256 | − | 0.159831i | ||||
\(225\) | −12.4206 | + | 14.8383i | −0.828043 | + | 0.989219i | ||||
\(226\) | 8.44940 | − | 14.6348i | 0.562045 | − | 0.973491i | ||||
\(227\) | 4.65046 | 0.308662 | 0.154331 | − | 0.988019i | \(-0.450678\pi\) | ||||
0.154331 | + | 0.988019i | \(0.450678\pi\) | |||||||
\(228\) | −12.4279 | + | 0.783123i | −0.823055 | + | 0.0518636i | ||||
\(229\) | 24.8672 | − | 11.9754i | 1.64327 | − | 0.791359i | 0.643612 | − | 0.765352i | \(-0.277435\pi\) |
0.999662 | − | 0.0260067i | \(-0.00827911\pi\) | |||||||
\(230\) | 3.29833 | − | 8.40401i | 0.217485 | − | 0.554144i | ||||
\(231\) | −25.8394 | − | 4.40448i | −1.70011 | − | 0.289793i | ||||
\(232\) | 1.78303 | + | 4.54308i | 0.117062 | + | 0.298268i | ||||
\(233\) | −8.18411 | − | 7.59375i | −0.536159 | − | 0.497483i | 0.364979 | − | 0.931016i | \(-0.381076\pi\) |
−0.901138 | + | 0.433533i | \(0.857267\pi\) | |||||||
\(234\) | −1.86053 | + | 18.8200i | −0.121626 | + | 1.23030i | ||||
\(235\) | 2.27817 | + | 1.55323i | 0.148612 | + | 0.101322i | ||||
\(236\) | −2.56064 | + | 6.52440i | −0.166683 | + | 0.424702i | ||||
\(237\) | −3.40938 | + | 20.9309i | −0.221463 | + | 1.35961i | ||||
\(238\) | 11.1021 | + | 2.62013i | 0.719640 | + | 0.169838i | ||||
\(239\) | −11.2078 | − | 7.64136i | −0.724973 | − | 0.494278i | 0.143726 | − | 0.989617i | \(-0.454091\pi\) |
−0.868700 | + | 0.495339i | \(0.835044\pi\) | |||||||
\(240\) | −0.942255 | + | 5.78470i | −0.0608223 | + | 0.373401i | ||||
\(241\) | −1.39569 | − | 6.11493i | −0.0899045 | − | 0.393897i | 0.909875 | − | 0.414882i | \(-0.136177\pi\) |
−0.999780 | + | 0.0209845i | \(0.993320\pi\) | |||||||
\(242\) | 1.62298 | + | 21.6571i | 0.104329 | + | 1.39217i | ||||
\(243\) | 14.9651 | + | 4.36407i | 0.960013 | + | 0.279955i | ||||
\(244\) | −1.38588 | −0.0887220 | ||||||||
\(245\) | −8.32807 | − | 22.1744i | −0.532061 | − | 1.41667i | ||||
\(246\) | −2.59778 | + | 2.73393i | −0.165628 | + | 0.174309i | ||||
\(247\) | −28.2576 | + | 35.4339i | −1.79799 | + | 2.25461i | ||||
\(248\) | 4.13383 | − | 2.81840i | 0.262498 | − | 0.178968i | ||||
\(249\) | 2.98183 | + | 1.76908i | 0.188966 | + | 0.112111i | ||||
\(250\) | 0.366719 | + | 4.89353i | 0.0231934 | + | 0.309494i | ||||
\(251\) | −13.0585 | + | 6.28866i | −0.824247 | + | 0.396937i | −0.797955 | − | 0.602718i | \(-0.794085\pi\) |
−0.0262928 | + | 0.999654i | \(0.508370\pi\) | |||||||
\(252\) | −3.66457 | + | 7.04066i | −0.230846 | + | 0.443520i | ||||
\(253\) | −13.7496 | − | 6.62147i | −0.864432 | − | 0.416289i | ||||
\(254\) | 1.34550 | − | 3.42828i | 0.0844242 | − | 0.215109i | ||||
\(255\) | −16.9664 | − | 18.7264i | −1.06248 | − | 1.17269i | ||||
\(256\) | 0.365341 | + | 0.930874i | 0.0228338 | + | 0.0581796i | ||||
\(257\) | 1.75216 | − | 7.67673i | 0.109297 | − | 0.478861i | −0.890422 | − | 0.455137i | \(-0.849590\pi\) |
0.999719 | − | 0.0237246i | \(-0.00755249\pi\) | |||||||
\(258\) | −14.7298 | + | 11.4633i | −0.917040 | + | 0.713674i | ||||
\(259\) | 2.26798 | + | 4.79961i | 0.140926 | + | 0.298233i | ||||
\(260\) | 13.2998 | + | 16.6774i | 0.824820 | + | 1.03429i | ||||
\(261\) | 7.61959 | − | 12.5024i | 0.471641 | − | 0.773882i | ||||
\(262\) | 13.7571 | − | 4.24351i | 0.849917 | − | 0.262165i | ||||
\(263\) | 4.95787 | 0.305715 | 0.152858 | − | 0.988248i | \(-0.451152\pi\) | ||||
0.152858 | + | 0.988248i | \(0.451152\pi\) | |||||||
\(264\) | 9.63201 | + | 2.31906i | 0.592809 | + | 0.142728i | ||||
\(265\) | 30.6079 | − | 9.44128i | 1.88023 | − | 0.579973i | ||||
\(266\) | −16.5427 | + | 9.38920i | −1.01430 | + | 0.575689i | ||||
\(267\) | −12.5808 | − | 7.46403i | −0.769934 | − | 0.456791i | ||||
\(268\) | −0.0965269 | + | 0.0895639i | −0.00589632 | + | 0.00547099i | ||||
\(269\) | −4.53955 | + | 11.5666i | −0.276781 | + | 0.705227i | 0.723114 | + | 0.690729i | \(0.242710\pi\) |
−0.999895 | + | 0.0144982i | \(0.995385\pi\) | |||||||
\(270\) | 15.5305 | − | 8.24373i | 0.945156 | − | 0.501698i | ||||
\(271\) | 4.66212 | + | 1.43807i | 0.283204 | + | 0.0873568i | 0.433103 | − | 0.901345i | \(-0.357419\pi\) |
−0.149899 | + | 0.988701i | \(0.547895\pi\) | |||||||
\(272\) | −4.11992 | − | 1.27083i | −0.249807 | − | 0.0770551i | ||||
\(273\) | 10.0349 | + | 27.0892i | 0.607339 | + | 1.63951i | ||||
\(274\) | −12.9209 | + | 3.98556i | −0.780577 | + | 0.240776i | ||||
\(275\) | 36.8949 | 2.22485 | ||||||||
\(276\) | −3.18316 | + | 3.34999i | −0.191604 | + | 0.201646i | ||||
\(277\) | 3.27209 | − | 14.3360i | 0.196601 | − | 0.861365i | −0.776341 | − | 0.630314i | \(-0.782926\pi\) |
0.972942 | − | 0.231051i | \(-0.0742165\pi\) | |||||||
\(278\) | 0.853979 | − | 11.3956i | 0.0512183 | − | 0.683460i | ||||
\(279\) | −14.2337 | − | 4.76335i | −0.852148 | − | 0.285174i | ||||
\(280\) | 2.57580 | + | 8.57419i | 0.153933 | + | 0.512406i | ||||
\(281\) | 9.03745 | + | 23.0271i | 0.539129 | + | 1.37368i | 0.897878 | + | 0.440245i | \(0.145108\pi\) |
−0.358749 | + | 0.933434i | \(0.616796\pi\) | |||||||
\(282\) | −0.781146 | − | 1.17547i | −0.0465166 | − | 0.0699981i | ||||
\(283\) | 3.95358 | + | 10.0736i | 0.235016 | + | 0.598810i | 0.998917 | − | 0.0465224i | \(-0.0148139\pi\) |
−0.763901 | + | 0.645333i | \(0.776719\pi\) | |||||||
\(284\) | −0.0560760 | + | 0.748283i | −0.00332750 | + | 0.0444024i | ||||
\(285\) | 41.9788 | + | 3.64742i | 2.48661 | + | 0.216054i | ||||
\(286\) | 29.7926 | − | 20.3122i | 1.76167 | − | 1.20109i | ||||
\(287\) | −1.73851 | + | 5.49219i | −0.102621 | + | 0.324194i | ||||
\(288\) | 1.56125 | − | 2.56174i | 0.0919974 | − | 0.150952i | ||||
\(289\) | 1.31265 | − | 0.894950i | 0.0772147 | − | 0.0526441i | ||||
\(290\) | −3.67483 | − | 16.1005i | −0.215794 | − | 0.945454i | ||||
\(291\) | 13.1576 | − | 4.98456i | 0.771310 | − | 0.292200i | ||||
\(292\) | −1.01635 | + | 1.27446i | −0.0594774 | + | 0.0745824i | ||||
\(293\) | 1.97870 | + | 3.42721i | 0.115597 | + | 0.200220i | 0.918018 | − | 0.396538i | \(-0.129789\pi\) |
−0.802421 | + | 0.596758i | \(0.796455\pi\) | |||||||
\(294\) | −0.322436 | + | 12.1201i | −0.0188048 | + | 0.706857i | ||||
\(295\) | 11.8584 | − | 20.5394i | 0.690423 | − | 1.19585i | ||||
\(296\) | −0.733027 | − | 1.86772i | −0.0426063 | − | 0.108559i | ||||
\(297\) | −11.9343 | − | 27.2205i | −0.692496 | − | 1.57949i | ||||
\(298\) | 5.70360 | − | 5.29217i | 0.330401 | − | 0.306567i | ||||
\(299\) | 1.25688 | + | 16.7719i | 0.0726873 | + | 0.969944i | ||||
\(300\) | 3.41951 | − | 10.6359i | 0.197426 | − | 0.614065i | ||||
\(301\) | −12.5593 | + | 25.5957i | −0.723905 | + | 1.47531i | ||||
\(302\) | 0.0843405 | + | 1.12545i | 0.00485325 | + | 0.0647621i | ||||
\(303\) | 5.99021 | + | 12.8260i | 0.344128 | + | 0.736837i | ||||
\(304\) | 6.47748 | − | 3.11939i | 0.371509 | − | 0.178909i | ||||
\(305\) | 4.63719 | + | 0.698944i | 0.265525 | + | 0.0400214i | ||||
\(306\) | 4.43833 | + | 12.1491i | 0.253723 | + | 0.694515i | ||||
\(307\) | 18.5770 | − | 23.2948i | 1.06024 | − | 1.32950i | 0.118583 | − | 0.992944i | \(-0.462165\pi\) |
0.941662 | − | 0.336561i | \(-0.109264\pi\) | |||||||
\(308\) | 14.7785 | − | 3.25880i | 0.842086 | − | 0.185687i | ||||
\(309\) | −1.73197 | − | 3.70843i | −0.0985281 | − | 0.210965i | ||||
\(310\) | −15.2533 | + | 7.34559i | −0.866328 | + | 0.417202i | ||||
\(311\) | 13.5823 | + | 12.6025i | 0.770181 | + | 0.714624i | 0.963851 | − | 0.266443i | \(-0.0858484\pi\) |
−0.193669 | + | 0.981067i | \(0.562039\pi\) | |||||||
\(312\) | −3.09427 | − | 10.4711i | −0.175179 | − | 0.592807i | ||||
\(313\) | −8.47448 | − | 14.6782i | −0.479006 | − | 0.829663i | 0.520704 | − | 0.853737i | \(-0.325669\pi\) |
−0.999710 | + | 0.0240743i | \(0.992336\pi\) | |||||||
\(314\) | −3.64010 | + | 15.9483i | −0.205423 | + | 0.900015i | ||||
\(315\) | 15.8126 | − | 21.7101i | 0.890936 | − | 1.22322i | ||||
\(316\) | −2.72449 | − | 11.9368i | −0.153264 | − | 0.671495i | ||||
\(317\) | −19.1068 | + | 17.7286i | −1.07315 | + | 0.995735i | −0.999999 | − | 0.00158631i | \(-0.999495\pi\) |
−0.0731481 | + | 0.997321i | \(0.523305\pi\) | |||||||
\(318\) | −16.3339 | − | 1.41921i | −0.915960 | − | 0.0795851i | ||||
\(319\) | −27.6042 | + | 4.16066i | −1.54554 | + | 0.232952i | ||||
\(320\) | −0.752970 | − | 3.29898i | −0.0420923 | − | 0.184418i | ||||
\(321\) | −6.99956 | − | 4.15274i | −0.390677 | − | 0.231783i | ||||
\(322\) | −2.13027 | + | 6.72980i | −0.118715 | + | 0.375037i | ||||
\(323\) | −6.89750 | + | 30.2199i | −0.383787 | + | 1.68148i | ||||
\(324\) | −8.95311 | + | 0.917496i | −0.497395 | + | 0.0509720i | ||||
\(325\) | −20.3308 | − | 35.2139i | −1.12775 | − | 1.95332i | ||||
\(326\) | −3.20175 | + | 14.0278i | −0.177329 | + | 0.776927i | ||||
\(327\) | 19.9066 | + | 21.9715i | 1.10083 | + | 1.21503i | ||||
\(328\) | 0.795483 | − | 2.02686i | 0.0439232 | − | 0.111914i | ||||
\(329\) | −1.85905 | − | 1.09166i | −0.102493 | − | 0.0601850i | ||||
\(330\) | −31.0593 | − | 12.6173i | −1.70976 | − | 0.694562i | ||||
\(331\) | 10.7952 | − | 3.32987i | 0.593356 | − | 0.183026i | 0.0164889 | − | 0.999864i | \(-0.494751\pi\) |
0.576867 | + | 0.816838i | \(0.304275\pi\) | |||||||
\(332\) | −1.97939 | − | 0.298345i | −0.108633 | − | 0.0163738i | ||||
\(333\) | −3.13252 | + | 5.13992i | −0.171661 | + | 0.281666i | ||||
\(334\) | −8.23816 | + | 1.24170i | −0.450772 | + | 0.0679430i | ||||
\(335\) | 0.368151 | − | 0.251001i | 0.0201142 | − | 0.0137137i | ||||
\(336\) | 0.430279 | − | 4.56233i | 0.0234737 | − | 0.248896i | ||||
\(337\) | −17.3115 | − | 11.8028i | −0.943015 | − | 0.642937i | −0.00891964 | − | 0.999960i | \(-0.502839\pi\) |
−0.934095 | + | 0.357023i | \(0.883792\pi\) | |||||||
\(338\) | −24.0912 | − | 11.6017i | −1.31039 | − | 0.631050i | ||||
\(339\) | 25.5201 | − | 14.3329i | 1.38606 | − | 0.778456i | ||||
\(340\) | 13.1444 | + | 6.33001i | 0.712856 | + | 0.343293i | ||||
\(341\) | 10.4553 | + | 26.6397i | 0.566188 | + | 1.44262i | ||||
\(342\) | −19.2048 | − | 9.81680i | −1.03848 | − | 0.530832i | ||||
\(343\) | 7.66509 | + | 16.8596i | 0.413876 | + | 0.910333i | ||||
\(344\) | 5.38807 | − | 9.33241i | 0.290505 | − | 0.503170i | ||||
\(345\) | 12.3404 | − | 9.60378i | 0.664387 | − | 0.517050i | ||||
\(346\) | 16.2889 | − | 11.1056i | 0.875695 | − | 0.597039i | ||||
\(347\) | −25.7155 | − | 7.93218i | −1.38048 | − | 0.425822i | −0.486403 | − | 0.873735i | \(-0.661691\pi\) |
−0.894077 | + | 0.447913i | \(0.852167\pi\) | |||||||
\(348\) | −1.35901 | + | 8.34323i | −0.0728504 | + | 0.447244i | ||||
\(349\) | −0.0741861 | + | 0.989945i | −0.00397109 | + | 0.0529905i | −0.998837 | − | 0.0482084i | \(-0.984649\pi\) |
0.994866 | + | 0.101199i | \(0.0322679\pi\) | |||||||
\(350\) | −2.41917 | − | 16.8933i | −0.129310 | − | 0.902986i | ||||
\(351\) | −19.4040 | + | 26.3902i | −1.03571 | + | 1.40861i | ||||
\(352\) | −5.65607 | + | 0.852515i | −0.301469 | + | 0.0454392i | ||||
\(353\) | −11.1307 | + | 5.36024i | −0.592425 | + | 0.285297i | −0.705977 | − | 0.708235i | \(-0.749492\pi\) |
0.113551 | + | 0.993532i | \(0.463777\pi\) | |||||||
\(354\) | −9.58042 | + | 7.45583i | −0.509193 | + | 0.396273i | ||||
\(355\) | 0.565014 | − | 2.47549i | 0.0299879 | − | 0.131385i | ||||
\(356\) | 8.35135 | + | 1.25876i | 0.442621 | + | 0.0667143i | ||||
\(357\) | 14.2222 | + | 13.7146i | 0.752719 | + | 0.725856i | ||||
\(358\) | −1.46573 | + | 0.220924i | −0.0774664 | + | 0.0116762i | ||||
\(359\) | 0.964499 | − | 12.8704i | 0.0509043 | − | 0.679271i | −0.912131 | − | 0.409898i | \(-0.865564\pi\) |
0.963036 | − | 0.269373i | \(-0.0868166\pi\) | |||||||
\(360\) | −6.51593 | + | 7.78425i | −0.343420 | + | 0.410266i | ||||
\(361\) | −16.3442 | − | 28.3089i | −0.860219 | − | 1.48994i | ||||
\(362\) | 6.40037 | + | 11.0858i | 0.336396 | + | 0.582655i | ||||
\(363\) | −16.7223 | + | 33.6951i | −0.877692 | + | 1.76854i | ||||
\(364\) | −11.2540 | − | 12.3095i | −0.589868 | − | 0.645191i | ||||
\(365\) | 4.04348 | − | 3.75181i | 0.211646 | − | 0.196378i | ||||
\(366\) | −2.06443 | − | 1.22480i | −0.107910 | − | 0.0640212i | ||||
\(367\) | 11.9642 | + | 15.0026i | 0.624526 | + | 0.783131i | 0.988973 | − | 0.148093i | \(-0.0473134\pi\) |
−0.364447 | + | 0.931224i | \(0.618742\pi\) | |||||||
\(368\) | 0.974737 | − | 2.48359i | 0.0508117 | − | 0.129466i | ||||
\(369\) | −6.28585 | + | 1.77667i | −0.327228 | + | 0.0924896i | ||||
\(370\) | 1.51077 | + | 6.61913i | 0.0785414 | + | 0.344112i | ||||
\(371\) | −23.3800 | + | 8.97785i | −1.21383 | + | 0.466107i | ||||
\(372\) | 8.64862 | − | 0.544980i | 0.448410 | − | 0.0282559i | ||||
\(373\) | 17.7975 | 0.921518 | 0.460759 | − | 0.887525i | \(-0.347577\pi\) | ||||
0.460759 | + | 0.887525i | \(0.347577\pi\) | |||||||
\(374\) | 12.3307 | − | 21.3574i | 0.637604 | − | 1.10436i | ||||
\(375\) | −3.77848 | + | 7.61357i | −0.195120 | + | 0.393163i | ||||
\(376\) | 0.673256 | + | 0.459018i | 0.0347205 | + | 0.0236721i | ||||
\(377\) | 19.1822 | + | 24.0538i | 0.987935 | + | 1.23883i | ||||
\(378\) | −11.6811 | + | 7.24925i | −0.600812 | + | 0.372861i | ||||
\(379\) | −12.2111 | + | 15.3122i | −0.627242 | + | 0.786537i | −0.989343 | − | 0.145602i | \(-0.953488\pi\) |
0.362101 | + | 0.932139i | \(0.382060\pi\) | |||||||
\(380\) | −23.2470 | + | 7.17075i | −1.19255 | + | 0.367852i | ||||
\(381\) | 5.03408 | − | 3.91771i | 0.257904 | − | 0.200710i | ||||
\(382\) | −1.55499 | + | 20.7500i | −0.0795604 | + | 1.06166i | ||||
\(383\) | −10.2081 | − | 12.8005i | −0.521608 | − | 0.654076i | 0.449341 | − | 0.893360i | \(-0.351659\pi\) |
−0.970950 | + | 0.239284i | \(0.923087\pi\) | |||||||
\(384\) | −0.278459 | + | 1.70952i | −0.0142101 | + | 0.0872386i | ||||
\(385\) | −51.0928 | + | 3.45073i | −2.60393 | + | 0.175865i | ||||
\(386\) | 6.60307 | − | 3.17987i | 0.336087 | − | 0.161851i | ||||
\(387\) | −32.0727 | + | 4.05814i | −1.63035 | + | 0.206287i | ||||
\(388\) | −5.95485 | + | 5.52530i | −0.302312 | + | 0.280504i | ||||
\(389\) | 5.34666 | + | 2.57482i | 0.271086 | + | 0.130548i | 0.564489 | − | 0.825441i | \(-0.309073\pi\) |
−0.293402 | + | 0.955989i | \(0.594788\pi\) | |||||||
\(390\) | 5.07262 | + | 36.5969i | 0.256862 | + | 1.85316i | ||||
\(391\) | 5.75153 | + | 9.96194i | 0.290867 | + | 0.503797i | ||||
\(392\) | −2.46115 | − | 6.55307i | −0.124307 | − | 0.330980i | ||||
\(393\) | 24.2431 | + | 5.83691i | 1.22290 | + | 0.294433i | ||||
\(394\) | −0.947827 | − | 0.142862i | −0.0477509 | − | 0.00719728i | ||||
\(395\) | 3.09611 | + | 41.3147i | 0.155782 | + | 2.07877i | ||||
\(396\) | 12.2985 | + | 11.9670i | 0.618022 | + | 0.601363i | ||||
\(397\) | 16.4723 | − | 11.2306i | 0.826721 | − | 0.563649i | −0.0743939 | − | 0.997229i | \(-0.523702\pi\) |
0.901115 | + | 0.433580i | \(0.142750\pi\) | |||||||
\(398\) | −0.353435 | + | 4.71626i | −0.0177161 | + | 0.236405i | ||||
\(399\) | −32.9401 | − | 0.633628i | −1.64907 | − | 0.0317211i | ||||
\(400\) | 0.482025 | + | 6.43218i | 0.0241012 | + | 0.321609i | ||||
\(401\) | 11.1124 | + | 13.9346i | 0.554929 | + | 0.695859i | 0.977611 | − | 0.210419i | \(-0.0674828\pi\) |
−0.422682 | + | 0.906278i | \(0.638911\pi\) | |||||||
\(402\) | −0.222942 | + | 0.0481083i | −0.0111193 | + | 0.00239942i | ||||
\(403\) | 19.6646 | − | 24.6587i | 0.979565 | − | 1.22834i | ||||
\(404\) | −5.99117 | − | 5.55900i | −0.298072 | − | 0.276570i | ||||
\(405\) | 30.4200 | + | 1.44538i | 1.51158 | + | 0.0718213i | ||||
\(406\) | 3.71505 | + | 12.3665i | 0.184375 | + | 0.613739i | ||||
\(407\) | 11.3484 | − | 1.71050i | 0.562521 | − | 0.0847865i | ||||
\(408\) | −5.01397 | − | 5.53409i | −0.248229 | − | 0.273978i | ||||
\(409\) | 7.11098 | + | 6.59802i | 0.351615 | + | 0.326251i | 0.836130 | − | 0.548532i | \(-0.184813\pi\) |
−0.484514 | + | 0.874783i | \(0.661004\pi\) | |||||||
\(410\) | −3.68391 | + | 6.38072i | −0.181935 | + | 0.315121i | ||||
\(411\) | −22.7694 | − | 5.48210i | −1.12313 | − | 0.270412i | ||||
\(412\) | 1.73225 | + | 1.60729i | 0.0853416 | + | 0.0791855i | ||||
\(413\) | −8.16866 | + | 16.6477i | −0.401954 | + | 0.819179i | ||||
\(414\) | −7.70230 | + | 2.17702i | −0.378548 | + | 0.106995i | ||||
\(415\) | 6.47262 | + | 1.99654i | 0.317728 | + | 0.0980062i | ||||
\(416\) | 3.93042 | + | 4.92859i | 0.192705 | + | 0.241644i | ||||
\(417\) | 11.3431 | − | 16.2203i | 0.555476 | − | 0.794311i | ||||
\(418\) | 9.15081 | + | 40.0923i | 0.447581 | + | 1.96098i | ||||
\(419\) | −13.1491 | + | 12.2005i | −0.642374 | + | 0.596036i | −0.932595 | − | 0.360924i | \(-0.882461\pi\) |
0.290222 | + | 0.956959i | \(0.406271\pi\) | |||||||
\(420\) | −3.74065 | + | 15.0487i | −0.182525 | + | 0.734299i | ||||
\(421\) | −7.25406 | − | 6.73078i | −0.353541 | − | 0.328038i | 0.483330 | − | 0.875438i | \(-0.339427\pi\) |
−0.836871 | + | 0.547400i | \(0.815618\pi\) | |||||||
\(422\) | 0.283192 | − | 0.490504i | 0.0137856 | − | 0.0238773i | ||||
\(423\) | −0.124765 | − | 2.44135i | −0.00606630 | − | 0.118702i | ||||
\(424\) | 9.04537 | − | 2.79013i | 0.439282 | − | 0.135501i | ||||
\(425\) | −22.9776 | − | 15.6658i | −1.11458 | − | 0.759905i | ||||
\(426\) | −0.744840 | + | 1.06510i | −0.0360876 | + | 0.0516040i | ||||
\(427\) | −3.65433 | − | 0.300930i | −0.176845 | − | 0.0145630i | ||||
\(428\) | 4.64642 | + | 0.700335i | 0.224593 | + | 0.0338520i | ||||
\(429\) | 62.3307 | − | 3.92768i | 3.00936 | − | 0.189630i | ||||
\(430\) | −22.7352 | + | 28.5091i | −1.09639 | + | 1.37483i | ||||
\(431\) | −20.5345 | − | 14.0002i | −0.989110 | − | 0.674364i | −0.0432926 | − | 0.999062i | \(-0.513785\pi\) |
−0.945818 | + | 0.324699i | \(0.894737\pi\) | |||||||
\(432\) | 4.58964 | − | 2.43622i | 0.220819 | − | 0.117213i | ||||
\(433\) | −18.8864 | − | 9.09521i | −0.907623 | − | 0.437088i | −0.0789866 | − | 0.996876i | \(-0.525168\pi\) |
−0.828636 | + | 0.559788i | \(0.810883\pi\) | |||||||
\(434\) | 11.5122 | − | 6.53400i | 0.552602 | − | 0.313642i | ||||
\(435\) | 8.75502 | − | 27.2313i | 0.419771 | − | 1.30564i | ||||
\(436\) | −15.4223 | − | 7.42697i | −0.738593 | − | 0.355688i | ||||
\(437\) | −18.3294 | − | 5.65388i | −0.876815 | − | 0.270462i | ||||
\(438\) | −2.64030 | + | 1.00024i | −0.126159 | + | 0.0477934i | ||||
\(439\) | −5.15135 | − | 0.776441i | −0.245861 | − | 0.0370575i | 0.0249557 | − | 0.999689i | \(-0.492056\pi\) |
−0.270816 | + | 0.962631i | \(0.587294\pi\) | |||||||
\(440\) | 19.3553 | 0.922726 | ||||||||
\(441\) | −11.1916 | + | 17.7693i | −0.532935 | + | 0.846156i | ||||
\(442\) | −27.1791 | −1.29278 | ||||||||
\(443\) | −4.88106 | − | 0.735702i | −0.231906 | − | 0.0349542i | 0.0320609 | − | 0.999486i | \(-0.489793\pi\) |
−0.263967 | + | 0.964532i | \(0.585031\pi\) | |||||||
\(444\) | 0.558706 | − | 3.43002i | 0.0265150 | − | 0.162781i | ||||
\(445\) | −27.3090 | − | 8.42370i | −1.29457 | − | 0.399322i | ||||
\(446\) | 10.7678 | + | 5.18552i | 0.509872 | + | 0.245541i | ||||
\(447\) | 13.1732 | − | 2.84263i | 0.623072 | − | 0.134452i | ||||
\(448\) | 0.761211 | + | 2.53388i | 0.0359638 | + | 0.119715i | ||||
\(449\) | −10.7648 | − | 5.18406i | −0.508023 | − | 0.244651i | 0.162272 | − | 0.986746i | \(-0.448118\pi\) |
−0.670294 | + | 0.742095i | \(0.733832\pi\) | |||||||
\(450\) | 14.4934 | − | 12.8214i | 0.683227 | − | 0.604405i | ||||
\(451\) | 10.2904 | + | 7.01585i | 0.484554 | + | 0.330363i | ||||
\(452\) | −10.5362 | + | 13.2120i | −0.495582 | + | 0.621441i | ||||
\(453\) | −0.868999 | + | 1.75102i | −0.0408291 | + | 0.0822701i | ||||
\(454\) | −4.59851 | − | 0.693115i | −0.215819 | − | 0.0325295i | ||||
\(455\) | 31.4480 | + | 46.8635i | 1.47430 | + | 2.19699i | ||||
\(456\) | 12.4058 | + | 1.07790i | 0.580953 | + | 0.0504773i | ||||
\(457\) | −23.8406 | − | 16.2543i | −1.11522 | − | 0.760343i | −0.141918 | − | 0.989878i | \(-0.545327\pi\) |
−0.973300 | + | 0.229536i | \(0.926279\pi\) | |||||||
\(458\) | −26.3743 | + | 8.13541i | −1.23239 | + | 0.380143i | ||||
\(459\) | −4.12554 | + | 22.0199i | −0.192564 | + | 1.02780i | ||||
\(460\) | −4.51404 | + | 7.81855i | −0.210468 | + | 0.364542i | ||||
\(461\) | −11.7716 | − | 10.9225i | −0.548258 | − | 0.508710i | 0.356695 | − | 0.934221i | \(-0.383904\pi\) |
−0.904953 | + | 0.425512i | \(0.860094\pi\) | |||||||
\(462\) | 24.8944 | + | 8.20645i | 1.15819 | + | 0.381799i | ||||
\(463\) | −9.55114 | + | 8.86216i | −0.443879 | + | 0.411860i | −0.870189 | − | 0.492717i | \(-0.836004\pi\) |
0.426310 | + | 0.904577i | \(0.359813\pi\) | |||||||
\(464\) | −1.08600 | − | 4.75809i | −0.0504164 | − | 0.220889i | ||||
\(465\) | −29.2133 | − | 2.53826i | −1.35474 | − | 0.117709i | ||||
\(466\) | 6.96091 | + | 8.72871i | 0.322458 | + | 0.404350i | ||||
\(467\) | 2.66409 | + | 0.821764i | 0.123280 | + | 0.0380267i | 0.355781 | − | 0.934569i | \(-0.384215\pi\) |
−0.232502 | + | 0.972596i | \(0.574691\pi\) | |||||||
\(468\) | 4.64472 | − | 18.3325i | 0.214702 | − | 0.847419i | ||||
\(469\) | −0.273973 | + | 0.215205i | −0.0126509 | + | 0.00993722i | ||||
\(470\) | −2.02123 | − | 1.87543i | −0.0932325 | − | 0.0865071i | ||||
\(471\) | −19.5170 | + | 20.5398i | −0.899294 | + | 0.946426i | ||||
\(472\) | 3.50445 | − | 6.06988i | 0.161305 | − | 0.279389i | ||||
\(473\) | 45.1846 | + | 41.9252i | 2.07759 | + | 1.92772i | ||||
\(474\) | 6.49089 | − | 20.1890i | 0.298136 | − | 0.927311i | ||||
\(475\) | 45.8556 | − | 6.91162i | 2.10400 | − | 0.317127i | ||||
\(476\) | −10.5876 | − | 4.24554i | −0.485280 | − | 0.194594i | ||||
\(477\) | −23.0770 | − | 16.5495i | −1.05662 | − | 0.757748i | ||||
\(478\) | 9.94375 | + | 9.22645i | 0.454816 | + | 0.422008i | ||||
\(479\) | 11.5335 | − | 14.4626i | 0.526981 | − | 0.660814i | −0.445094 | − | 0.895484i | \(-0.646830\pi\) |
0.972075 | + | 0.234670i | \(0.0754011\pi\) | |||||||
\(480\) | 1.79390 | − | 5.57966i | 0.0818798 | − | 0.254675i | ||||
\(481\) | −7.88607 | − | 9.88882i | −0.359574 | − | 0.450892i | ||||
\(482\) | 0.468721 | + | 6.25465i | 0.0213497 | + | 0.284891i | ||||
\(483\) | −9.12086 | + | 8.14215i | −0.415014 | + | 0.370481i | ||||
\(484\) | 1.62298 | − | 21.6571i | 0.0737717 | − | 0.984415i | ||||
\(485\) | 22.7116 | − | 15.4845i | 1.03128 | − | 0.703117i | ||||
\(486\) | −14.1475 | − | 6.54576i | −0.641746 | − | 0.296922i | ||||
\(487\) | −0.198191 | − | 2.64467i | −0.00898088 | − | 0.119842i | 0.990911 | − | 0.134516i | \(-0.0429479\pi\) |
−0.999892 | + | 0.0146743i | \(0.995329\pi\) | |||||||
\(488\) | 1.37040 | + | 0.206555i | 0.0620352 | + | 0.00935030i | ||||
\(489\) | −17.1667 | + | 18.0664i | −0.776305 | + | 0.816991i | ||||
\(490\) | 4.93013 | + | 23.1680i | 0.222720 | + | 1.04662i | ||||
\(491\) | 4.39015 | + | 7.60396i | 0.198125 | + | 0.343162i | 0.947920 | − | 0.318507i | \(-0.103182\pi\) |
−0.749796 | + | 0.661669i | \(0.769848\pi\) | |||||||
\(492\) | 2.97624 | − | 2.31621i | 0.134179 | − | 0.104423i | ||||
\(493\) | 18.9581 | + | 9.12973i | 0.853829 | + | 0.411182i | ||||
\(494\) | 33.2231 | − | 30.8266i | 1.49478 | − | 1.38695i | ||||
\(495\) | −35.1156 | − | 46.2442i | −1.57833 | − | 2.07852i | ||||
\(496\) | −4.50772 | + | 2.17080i | −0.202402 | + | 0.0974719i | ||||
\(497\) | −0.310345 | + | 1.96092i | −0.0139209 | + | 0.0879591i | ||||
\(498\) | −2.68486 | − | 2.19374i | −0.120312 | − | 0.0983039i | ||||
\(499\) | 2.90065 | + | 3.63731i | 0.129851 | + | 0.162828i | 0.842507 | − | 0.538686i | \(-0.181079\pi\) |
−0.712655 | + | 0.701514i | \(0.752508\pi\) | |||||||
\(500\) | 0.366719 | − | 4.89353i | 0.0164002 | − | 0.218845i | ||||
\(501\) | −13.3691 | − | 5.43097i | −0.597286 | − | 0.242638i | ||||
\(502\) | 13.8500 | − | 4.27215i | 0.618154 | − | 0.190675i | ||||
\(503\) | 18.0825 | − | 22.6747i | 0.806257 | − | 1.01101i | −0.193297 | − | 0.981140i | \(-0.561918\pi\) |
0.999554 | − | 0.0298739i | \(-0.00951057\pi\) | |||||||
\(504\) | 4.67299 | − | 6.41585i | 0.208152 | − | 0.285785i | ||||
\(505\) | 17.2430 | + | 21.6221i | 0.767304 | + | 0.962169i | ||||
\(506\) | 12.6092 | + | 8.59679i | 0.560546 | + | 0.382174i | ||||
\(507\) | −25.6334 | − | 38.5731i | −1.13842 | − | 1.71309i | ||||
\(508\) | −1.84143 | + | 3.18945i | −0.0817003 | + | 0.141509i | ||||
\(509\) | 7.08440 | 0.314011 | 0.157005 | − | 0.987598i | \(-0.449816\pi\) | ||||
0.157005 | + | 0.987598i | \(0.449816\pi\) | |||||||
\(510\) | 13.9858 | + | 21.0459i | 0.619304 | + | 0.931928i | ||||
\(511\) | −2.95668 | + | 3.13985i | −0.130796 | + | 0.138899i | ||||
\(512\) | −0.222521 | − | 0.974928i | −0.00983413 | − | 0.0430861i | ||||
\(513\) | −19.9320 | − | 31.5959i | −0.880021 | − | 1.39499i | ||||
\(514\) | −2.87675 | + | 7.32984i | −0.126888 | + | 0.323306i | ||||
\(515\) | −4.98553 | − | 6.25165i | −0.219689 | − | 0.275481i | ||||
\(516\) | 16.2738 | − | 9.13990i | 0.716416 | − | 0.402362i | ||||
\(517\) | −3.41666 | + | 3.17020i | −0.150265 | + | 0.139425i | ||||
\(518\) | −1.52731 | − | 5.08403i | −0.0671061 | − | 0.223379i | ||||
\(519\) | 34.0789 | − | 2.14743i | 1.49590 | − | 0.0942617i | ||||
\(520\) | −10.6656 | − | 18.4734i | −0.467719 | − | 0.810113i | ||||
\(521\) | −2.75948 | − | 4.77955i | −0.120895 | − | 0.209396i | 0.799226 | − | 0.601031i | \(-0.205243\pi\) |
−0.920121 | + | 0.391635i | \(0.871910\pi\) | |||||||
\(522\) | −9.39788 | + | 11.2272i | −0.411334 | + | 0.491399i | ||||
\(523\) | 3.19122 | − | 42.5839i | 0.139542 | − | 1.86206i | −0.287436 | − | 0.957800i | \(-0.592803\pi\) |
0.426978 | − | 0.904262i | \(-0.359578\pi\) | |||||||
\(524\) | −14.2359 | + | 2.14572i | −0.621899 | + | 0.0937362i | ||||
\(525\) | 11.3261 | − | 27.3025i | 0.494314 | − | 1.19158i | ||||
\(526\) | −4.90250 | − | 0.738932i | −0.213759 | − | 0.0322190i | ||||
\(527\) | 4.80001 | − | 21.0302i | 0.209092 | − | 0.916091i | ||||
\(528\) | −9.17879 | − | 3.72873i | −0.399455 | − | 0.162272i | ||||
\(529\) | 14.3089 | − | 6.89080i | 0.622126 | − | 0.299600i | ||||
\(530\) | −31.6732 | + | 4.77396i | −1.37579 | + | 0.207368i | ||||
\(531\) | −20.8604 | + | 2.63945i | −0.905263 | + | 0.114542i | ||||
\(532\) | 17.7573 | − | 6.81877i | 0.769878 | − | 0.295631i | ||||
\(533\) | 1.02574 | − | 13.6876i | 0.0444298 | − | 0.592874i | ||||
\(534\) | 11.3278 | + | 9.25573i | 0.490204 | + | 0.400535i | ||||
\(535\) | −15.1938 | − | 4.68667i | −0.656886 | − | 0.202623i | ||||
\(536\) | 0.108798 | − | 0.0741770i | 0.00469934 | − | 0.00320396i | ||||
\(537\) | −2.37862 | − | 0.966277i | −0.102645 | − | 0.0416979i | ||||
\(538\) | 6.21276 | − | 10.7608i | 0.267851 | − | 0.463932i | ||||
\(539\) | 39.6761 | − | 5.38387i | 1.70897 | − | 0.231900i | ||||
\(540\) | −16.5857 | + | 5.83696i | −0.713735 | + | 0.251183i | ||||
\(541\) | 0.899322 | + | 2.29143i | 0.0386649 | + | 0.0985165i | 0.948902 | − | 0.315571i | \(-0.102196\pi\) |
−0.910237 | + | 0.414087i | \(0.864101\pi\) | |||||||
\(542\) | −4.39572 | − | 2.11687i | −0.188812 | − | 0.0909272i | ||||
\(543\) | −0.263160 | + | 22.1700i | −0.0112933 | + | 0.951404i | ||||
\(544\) | 3.88449 | + | 1.87067i | 0.166546 | + | 0.0802045i | ||||
\(545\) | 47.8576 | + | 32.6288i | 2.04999 | + | 1.39766i | ||||
\(546\) | −5.88537 | − | 28.2823i | −0.251871 | − | 1.21037i | ||||
\(547\) | −34.4230 | + | 23.4692i | −1.47182 | + | 1.00347i | −0.479804 | + | 0.877376i | \(0.659292\pi\) |
−0.992018 | + | 0.126095i | \(0.959755\pi\) | |||||||
\(548\) | 13.3706 | − | 2.01529i | 0.571162 | − | 0.0860888i | ||||
\(549\) | −1.99277 | − | 3.64896i | −0.0850493 | − | 0.155734i | ||||
\(550\) | −36.4828 | − | 5.49890i | −1.55563 | − | 0.234474i | ||||
\(551\) | −33.5290 | + | 10.3423i | −1.42838 | + | 0.440597i | ||||
\(552\) | 3.64690 | − | 2.83815i | 0.155222 | − | 0.120800i | ||||
\(553\) | −4.59205 | − | 32.0667i | −0.195274 | − | 1.36362i | ||||
\(554\) | −5.37221 | + | 13.6882i | −0.228243 | + | 0.581555i | ||||
\(555\) | −3.59931 | + | 11.1951i | −0.152782 | + | 0.475207i | ||||
\(556\) | −2.54286 | + | 11.1410i | −0.107841 | + | 0.472484i | ||||
\(557\) | 12.4471 | + | 21.5590i | 0.527401 | + | 0.913485i | 0.999490 | + | 0.0319345i | \(0.0101668\pi\) |
−0.472089 | + | 0.881551i | \(0.656500\pi\) | |||||||
\(558\) | 13.3648 | + | 6.83157i | 0.565775 | + | 0.289203i | ||||
\(559\) | 15.1162 | − | 66.2286i | 0.639349 | − | 2.80117i | ||||
\(560\) | −1.26911 | − | 8.86233i | −0.0536297 | − | 0.374502i | ||||
\(561\) | 37.2429 | − | 20.9168i | 1.57240 | − | 0.883108i | ||||
\(562\) | −5.50451 | − | 24.1168i | −0.232194 | − | 1.01731i | ||||
\(563\) | 9.49250 | − | 1.43076i | 0.400061 | − | 0.0602995i | 0.0540697 | − | 0.998537i | \(-0.482781\pi\) |
0.345992 | + | 0.938238i | \(0.387543\pi\) | |||||||
\(564\) | 0.597227 | + | 1.27876i | 0.0251478 | + | 0.0538456i | ||||
\(565\) | 41.9177 | − | 38.8939i | 1.76349 | − | 1.63628i | ||||
\(566\) | −2.40803 | − | 10.5503i | −0.101217 | − | 0.443462i | ||||
\(567\) | −23.8070 | + | 0.475199i | −0.999801 | + | 0.0199565i | ||||
\(568\) | 0.166975 | − | 0.731567i | 0.00700614 | − | 0.0306959i | ||||
\(569\) | −0.0458513 | − | 0.0794168i | −0.00192219 | − | 0.00332932i | 0.865063 | − | 0.501664i | \(-0.167279\pi\) |
−0.866985 | + | 0.498334i | \(0.833945\pi\) | |||||||
\(570\) | −40.9664 | − | 9.86330i | −1.71589 | − | 0.413128i | ||||
\(571\) | −25.0047 | − | 23.2010i | −1.04641 | − | 0.970931i | −0.0468057 | − | 0.998904i | \(-0.514904\pi\) |
−0.999609 | + | 0.0279734i | \(0.991095\pi\) | |||||||
\(572\) | −32.4872 | + | 15.6450i | −1.35836 | + | 0.654150i | ||||
\(573\) | −20.6545 | + | 29.5352i | −0.862854 | + | 1.23385i | ||||
\(574\) | 2.53766 | − | 5.17174i | 0.105920 | − | 0.215864i | ||||
\(575\) | 10.7298 | − | 13.4548i | 0.447464 | − | 0.561102i | ||||
\(576\) | −1.92562 | + | 2.30043i | −0.0802340 | + | 0.0958514i | ||||
\(577\) | −3.13665 | − | 0.472773i | −0.130580 | − | 0.0196818i | 0.0834269 | − | 0.996514i | \(-0.473413\pi\) |
−0.214007 | + | 0.976832i | \(0.568652\pi\) | |||||||
\(578\) | −1.43137 | + | 0.689314i | −0.0595373 | + | 0.0286717i | ||||
\(579\) | 12.6463 | + | 1.09880i | 0.525563 | + | 0.0456646i | ||||
\(580\) | 1.23413 | + | 16.4684i | 0.0512446 | + | 0.683812i | ||||
\(581\) | −5.15452 | − | 1.21649i | −0.213846 | − | 0.0504685i | ||||
\(582\) | −13.7535 | + | 2.96785i | −0.570102 | + | 0.123022i | ||||
\(583\) | 4.04623 | + | 53.9932i | 0.167578 | + | 2.23617i | ||||
\(584\) | 1.19495 | − | 1.10875i | 0.0494473 | − | 0.0458804i | ||||
\(585\) | −24.7870 | + | 58.9984i | −1.02482 | + | 2.43928i | ||||
\(586\) | −1.44580 | − | 3.68384i | −0.0597254 | − | 0.152178i | ||||
\(587\) | 16.0865 | − | 27.8626i | 0.663960 | − | 1.15001i | −0.315606 | − | 0.948890i | \(-0.602208\pi\) |
0.979566 | − | 0.201122i | \(-0.0644588\pi\) | |||||||
\(588\) | 2.12524 | − | 11.9366i | 0.0876433 | − | 0.492259i | ||||
\(589\) | 17.9851 | + | 31.1511i | 0.741063 | + | 1.28356i | ||||
\(590\) | −14.7872 | + | 18.5425i | −0.608779 | + | 0.763385i | ||||
\(591\) | −1.28564 | − | 1.05047i | −0.0528842 | − | 0.0432105i | ||||
\(592\) | 0.446470 | + | 1.95611i | 0.0183498 | + | 0.0803958i | ||||
\(593\) | 9.15835 | − | 6.24406i | 0.376088 | − | 0.256413i | −0.360493 | − | 0.932762i | \(-0.617391\pi\) |
0.736581 | + | 0.676349i | \(0.236439\pi\) | |||||||
\(594\) | 7.74397 | + | 28.6952i | 0.317739 | + | 1.17738i | ||||
\(595\) | 33.2850 | + | 19.5453i | 1.36455 | + | 0.801280i | ||||
\(596\) | −6.42865 | + | 4.38298i | −0.263328 | + | 0.179534i | ||||
\(597\) | −4.69457 | + | 6.71306i | −0.192136 | + | 0.274747i | ||||
\(598\) | 1.25688 | − | 16.7719i | 0.0513977 | − | 0.685854i | ||||
\(599\) | −2.34225 | − | 5.96795i | −0.0957016 | − | 0.243844i | 0.875004 | − | 0.484116i | \(-0.160859\pi\) |
−0.970706 | + | 0.240272i | \(0.922763\pi\) | |||||||
\(600\) | −4.96652 | + | 10.0075i | −0.202757 | + | 0.408553i | ||||
\(601\) | 13.4580 | + | 34.2905i | 0.548964 | + | 1.39874i | 0.888819 | + | 0.458259i | \(0.151527\pi\) |
−0.339855 | + | 0.940478i | \(0.610378\pi\) | |||||||
\(602\) | 16.2338 | − | 23.4380i | 0.661642 | − | 0.955261i | ||||
\(603\) | −0.374614 | − | 0.125366i | −0.0152555 | − | 0.00510530i | ||||
\(604\) | 0.0843405 | − | 1.12545i | 0.00343177 | − | 0.0457938i | ||||
\(605\) | −16.3529 | + | 71.6467i | −0.664840 | + | 2.91285i | ||||
\(606\) | −4.01168 | − | 13.5756i | −0.162963 | − | 0.551470i | ||||
\(607\) | −14.5474 | −0.590460 | −0.295230 | − | 0.955426i | \(-0.595396\pi\) | ||||
−0.295230 | + | 0.955426i | \(0.595396\pi\) | |||||||
\(608\) | −6.87005 | + | 2.11913i | −0.278617 | + | 0.0859421i | ||||
\(609\) | −5.39511 | + | 21.7046i | −0.218621 | + | 0.879513i | ||||
\(610\) | −4.48123 | − | 1.38227i | −0.181440 | − | 0.0559667i | ||||
\(611\) | 4.90849 | + | 1.51407i | 0.198576 | + | 0.0612527i | ||||
\(612\) | −2.57804 | − | 12.6749i | −0.104211 | − | 0.512351i | ||||
\(613\) | −9.37599 | + | 23.8896i | −0.378692 | + | 0.964893i | 0.606751 | + | 0.794892i | \(0.292472\pi\) |
−0.985444 | + | 0.170001i | \(0.945623\pi\) | |||||||
\(614\) | −21.8414 | + | 20.2659i | −0.881448 | + | 0.817864i | ||||
\(615\) | −11.1267 | + | 6.24909i | −0.448671 | + | 0.251988i | ||||
\(616\) | −15.0992 | + | 1.01977i | −0.608363 | + | 0.0410879i | ||||
\(617\) | −29.2716 | + | 9.02911i | −1.17843 | + | 0.363498i | −0.821268 | − | 0.570543i | \(-0.806733\pi\) |
−0.357165 | + | 0.934041i | \(0.616256\pi\) | |||||||
\(618\) | 1.15991 | + | 3.92515i | 0.0466584 | + | 0.157893i | ||||
\(619\) | 3.95140 | 0.158820 | 0.0794100 | − | 0.996842i | \(-0.474696\pi\) | ||||
0.0794100 | + | 0.996842i | \(0.474696\pi\) | |||||||
\(620\) | 16.1777 | − | 4.99016i | 0.649713 | − | 0.200410i | ||||
\(621\) | −13.3975 | − | 3.56413i | −0.537621 | − | 0.143024i | ||||
\(622\) | −11.5523 | − | 14.4861i | −0.463204 | − | 0.580840i | ||||
\(623\) | 21.7477 | + | 5.13255i | 0.871304 | + | 0.205631i | ||||
\(624\) | 1.49908 | + | 10.8153i | 0.0600113 | + | 0.432958i | ||||
\(625\) | 3.48152 | − | 15.2536i | 0.139261 | − | 0.610142i | ||||
\(626\) | 6.19215 | + | 15.7773i | 0.247488 | + | 0.630590i | ||||
\(627\) | −21.8011 | + | 67.8093i | −0.870654 | + | 2.70804i | ||||
\(628\) | 5.97641 | − | 15.2277i | 0.238485 | − | 0.607649i | ||||
\(629\) | −7.79392 | − | 3.75336i | −0.310764 | − | 0.149656i | ||||
\(630\) | −18.8717 | + | 19.1108i | −0.751865 | + | 0.761394i | ||||
\(631\) | 25.7632 | − | 12.4069i | 1.02562 | − | 0.493910i | 0.156061 | − | 0.987747i | \(-0.450120\pi\) |
0.869554 | + | 0.493837i | \(0.164406\pi\) | |||||||
\(632\) | 0.914975 | + | 12.2095i | 0.0363958 | + | 0.485668i | ||||
\(633\) | 0.855339 | − | 0.480385i | 0.0339967 | − | 0.0190936i | ||||
\(634\) | 21.5357 | − | 14.6828i | 0.855293 | − | 0.583129i | ||||
\(635\) | 7.77001 | − | 9.74328i | 0.308343 | − | 0.386650i | ||||
\(636\) | 15.9400 | + | 3.83780i | 0.632060 | + | 0.152179i | ||||
\(637\) | −27.0019 | − | 34.9016i | −1.06985 | − | 1.38285i | ||||
\(638\) | 27.9160 | 1.10520 | ||||||||
\(639\) | −2.05082 | + | 0.928316i | −0.0811293 | + | 0.0367236i | ||||
\(640\) | 0.252873 | + | 3.37435i | 0.00999568 | + | 0.133383i | ||||
\(641\) | 10.1459 | + | 44.4519i | 0.400737 | + | 1.75575i | 0.624425 | + | 0.781085i | \(0.285333\pi\) |
−0.223688 | + | 0.974661i | \(0.571810\pi\) | |||||||
\(642\) | 6.30244 | + | 5.14959i | 0.248738 | + | 0.203238i | ||||
\(643\) | −36.6354 | − | 24.9776i | −1.44476 | − | 0.985020i | −0.995808 | − | 0.0914631i | \(-0.970846\pi\) |
−0.448950 | − | 0.893557i | \(-0.648202\pi\) | |||||||
\(644\) | 3.10950 | − | 6.33714i | 0.122531 | − | 0.249718i | ||||
\(645\) | −59.0622 | + | 22.3749i | −2.32557 | + | 0.881010i | ||||
\(646\) | 11.3245 | − | 28.8544i | 0.445557 | − | 1.13526i | ||||
\(647\) | 0.277826 | + | 0.189418i | 0.0109225 | + | 0.00744681i | 0.568769 | − | 0.822497i | \(-0.307420\pi\) |
−0.557847 | + | 0.829944i | \(0.688372\pi\) | |||||||
\(648\) | 8.98986 | + | 0.427144i | 0.353155 | + | 0.0167798i | ||||
\(649\) | 29.3885 | + | 27.2685i | 1.15360 | + | 1.07038i | ||||
\(650\) | 14.8553 | + | 37.8507i | 0.582674 | + | 1.48463i | ||||
\(651\) | 22.9232 | + | 0.440946i | 0.898433 | + | 0.0172820i | ||||
\(652\) | 5.25672 | − | 13.3939i | 0.205869 | − | 0.524546i | ||||
\(653\) | 30.2192 | − | 14.5528i | 1.18257 | − | 0.569495i | 0.263910 | − | 0.964547i | \(-0.414988\pi\) |
0.918659 | + | 0.395053i | \(0.129274\pi\) | |||||||
\(654\) | −16.4095 | − | 24.6930i | −0.641663 | − | 0.965575i | ||||
\(655\) | 48.7158 | 1.90349 | ||||||||
\(656\) | −1.08869 | + | 1.88566i | −0.0425060 | + | 0.0736226i | ||||
\(657\) | −4.81702 | − | 0.843440i | −0.187930 | − | 0.0329057i | ||||
\(658\) | 1.67559 | + | 1.35654i | 0.0653212 | + | 0.0528835i | ||||
\(659\) | 23.8674 | + | 7.36213i | 0.929743 | + | 0.286788i | 0.722396 | − | 0.691480i | \(-0.243041\pi\) |
0.207347 | + | 0.978267i | \(0.433517\pi\) | |||||||
\(660\) | 28.8319 | + | 17.1056i | 1.12228 | + | 0.665834i | ||||
\(661\) | −12.4333 | + | 1.87402i | −0.483599 | + | 0.0728908i | −0.386317 | − | 0.922366i | \(-0.626253\pi\) |
−0.0972818 | + | 0.995257i | \(0.531015\pi\) | |||||||
\(662\) | −11.1709 | + | 1.68374i | −0.434169 | + | 0.0654404i | ||||
\(663\) | −40.4863 | − | 24.0200i | −1.57236 | − | 0.932859i | ||||
\(664\) | 1.91282 | + | 0.590025i | 0.0742316 | + | 0.0228974i | ||||
\(665\) | −62.8553 | + | 13.8602i | −2.43743 | + | 0.537474i | ||||
\(666\) | 3.86360 | − | 4.61564i | 0.149711 | − | 0.178852i | ||||
\(667\) | −6.51057 | + | 11.2766i | −0.252090 | + | 0.436633i | ||||
\(668\) | 8.33122 | 0.322344 | ||||||||
\(669\) | 11.4571 | + | 17.2407i | 0.442959 | + | 0.666564i | ||||
\(670\) | −0.401449 | + | 0.193328i | −0.0155093 | + | 0.00746890i | ||||
\(671\) | −2.89612 | + | 7.37920i | −0.111804 | + | 0.284871i | ||||
\(672\) | −1.10545 | + | 4.44724i | −0.0426438 | + | 0.171556i | ||||
\(673\) | −7.21901 | − | 18.3937i | −0.278272 | − | 0.709027i | −0.999860 | − | 0.0167039i | \(-0.994683\pi\) |
0.721588 | − | 0.692323i | \(-0.243413\pi\) | |||||||
\(674\) | 15.3590 | + | 14.2511i | 0.591606 | + | 0.548930i | ||||
\(675\) | 32.9208 | − | 6.29005i | 1.26712 | − | 0.242104i | ||||
\(676\) | 22.0930 | + | 15.0627i | 0.849730 | + | 0.579336i | ||||
\(677\) | 5.72857 | − | 14.5962i | 0.220167 | − | 0.560976i | −0.777527 | − | 0.628850i | \(-0.783526\pi\) |
0.997694 | + | 0.0678734i | \(0.0216214\pi\) | |||||||
\(678\) | −27.3713 | + | 10.3692i | −1.05119 | + | 0.398228i | ||||
\(679\) | −16.9017 | + | 13.2762i | −0.648627 | + | 0.509494i | ||||
\(680\) | −12.0542 | − | 8.21839i | −0.462256 | − | 0.315161i | ||||
\(681\) | −6.23746 | − | 5.09650i | −0.239020 | − | 0.195298i | ||||
\(682\) | −6.36810 | − | 27.9005i | −0.243847 | − | 1.06836i | ||||
\(683\) | −2.55474 | − | 34.0906i | −0.0977542 | − | 1.30444i | −0.803214 | − | 0.595690i | \(-0.796879\pi\) |
0.705460 | − | 0.708750i | \(-0.250740\pi\) | |||||||
\(684\) | 17.5272 | + | 12.5695i | 0.670170 | + | 0.480606i | ||||
\(685\) | −45.7545 | −1.74819 | ||||||||
\(686\) | −5.06668 | − | 17.8137i | −0.193447 | − | 0.680131i | ||||
\(687\) | −46.4774 | − | 11.1902i | −1.77322 | − | 0.426932i | ||||
\(688\) | −6.71882 | + | 8.42513i | −0.256152 | + | 0.321205i | ||||
\(689\) | 49.3035 | − | 33.6146i | 1.87831 | − | 1.28061i | ||||
\(690\) | −13.6340 | + | 7.65726i | −0.519036 | + | 0.291507i | ||||
\(691\) | 1.69202 | + | 22.5784i | 0.0643674 | + | 0.858924i | 0.932171 | + | 0.362017i | \(0.117912\pi\) |
−0.867804 | + | 0.496907i | \(0.834469\pi\) | |||||||
\(692\) | −17.7621 | + | 8.55380i | −0.675215 | + | 0.325167i | ||||
\(693\) | 29.8304 | + | 34.2253i | 1.13316 | + | 1.30011i | ||||
\(694\) | 24.2460 | + | 11.6763i | 0.920367 | + | 0.443225i | ||||
\(695\) | 14.1272 | − | 35.9956i | 0.535876 | − | 1.36539i | ||||
\(696\) | 2.58732 | − | 8.04750i | 0.0980722 | − | 0.305040i | ||||
\(697\) | −3.42969 | − | 8.73872i | −0.129909 | − | 0.331003i | ||||
\(698\) | 0.220901 | − | 0.967831i | 0.00836123 | − | 0.0366329i | ||||
\(699\) | 2.65493 | + | 19.1543i | 0.100419 | + | 0.724480i | ||||
\(700\) | −0.125667 | + | 17.0652i | −0.00474977 | + | 0.645004i | ||||
\(701\) | 13.3286 | + | 16.7135i | 0.503414 | + | 0.631261i | 0.966996 | − | 0.254793i | \(-0.0820074\pi\) |
−0.463582 | + | 0.886054i | \(0.653436\pi\) | |||||||
\(702\) | 23.1205 | − | 23.2035i | 0.872627 | − | 0.875759i | ||||
\(703\) | 13.7842 | − | 4.25186i | 0.519881 | − | 0.160362i | ||||
\(704\) | 5.71995 | 0.215579 | ||||||||
\(705\) | −1.35341 | − | 4.57997i | −0.0509725 | − | 0.172492i | ||||
\(706\) | 11.8052 | − | 3.64144i | 0.444296 | − | 0.137047i | ||||
\(707\) | −14.5906 | − | 15.9590i | −0.548736 | − | 0.600201i | ||||
\(708\) | 10.5846 | − | 5.94467i | 0.397795 | − | 0.223414i | ||||
\(709\) | −26.9533 | + | 25.0090i | −1.01225 | + | 0.939234i | −0.998158 | − | 0.0606669i | \(-0.980677\pi\) |
−0.0140952 | + | 0.999901i | \(0.504487\pi\) | |||||||
\(710\) | −0.927656 | + | 2.36363i | −0.0348143 | + | 0.0887054i | ||||
\(711\) | 27.5113 | − | 24.3374i | 1.03175 | − | 0.912723i | ||||
\(712\) | −8.07046 | − | 2.48941i | −0.302453 | − | 0.0932945i | ||||
\(713\) | 12.7556 | + | 3.93457i | 0.477699 | + | 0.147351i | ||||
\(714\) | −12.0193 | − | 15.6812i | −0.449811 | − | 0.586853i | ||||
\(715\) | 116.593 | − | 35.9642i | 4.36033 | − | 1.34498i | ||||
\(716\) | 1.48229 | 0.0553957 | ||||||||
\(717\) | 6.65831 | + | 22.5318i | 0.248659 | + | 0.841467i | ||||
\(718\) | −2.87195 | + | 12.5828i | −0.107180 | + | 0.469588i | ||||
\(719\) | 0.852157 | − | 11.3712i | 0.0317801 | − | 0.424076i | −0.958510 | − | 0.285059i | \(-0.907987\pi\) |
0.990290 | − | 0.139017i | \(-0.0443942\pi\) | |||||||
\(720\) | 7.60334 | − | 6.72615i | 0.283360 | − | 0.250669i | ||||
\(721\) | 4.21862 | + | 4.61428i | 0.157110 | + | 0.171845i | ||||
\(722\) | 11.9424 | + | 30.4287i | 0.444450 | + | 1.13244i | ||||
\(723\) | −4.82945 | + | 9.73126i | −0.179609 | + | 0.361910i | ||||
\(724\) | −4.67663 | − | 11.9159i | −0.173806 | − | 0.442850i | ||||
\(725\) | 2.35250 | − | 31.3919i | 0.0873696 | − | 1.16587i | ||||
\(726\) | 21.5575 | − | 30.8265i | 0.800074 | − | 1.14408i | ||||
\(727\) | 0.597543 | − | 0.407398i | 0.0221616 | − | 0.0151095i | −0.552189 | − | 0.833719i | \(-0.686207\pi\) |
0.574350 | + | 0.818610i | \(0.305255\pi\) | |||||||
\(728\) | 9.29364 | + | 13.8493i | 0.344445 | + | 0.513289i | ||||
\(729\) | −15.2895 | − | 22.2538i | −0.566276 | − | 0.824215i | ||||
\(730\) | −4.55750 | + | 3.10725i | −0.168681 | + | 0.115005i | ||||
\(731\) | −10.3385 | − | 45.2961i | −0.382384 | − | 1.67534i | ||||
\(732\) | 1.85883 | + | 1.51881i | 0.0687042 | + | 0.0561367i | ||||
\(733\) | −17.2774 | + | 21.6651i | −0.638154 | + | 0.800220i | −0.990771 | − | 0.135548i | \(-0.956720\pi\) |
0.352617 | + | 0.935768i | \(0.385292\pi\) | |||||||
\(734\) | −9.59455 | − | 16.6182i | −0.354141 | − | 0.613391i | ||||
\(735\) | −13.1311 | + | 38.8684i | −0.484348 | + | 1.43368i | ||||
\(736\) | −1.33401 | + | 2.31057i | −0.0491722 | + | 0.0851688i | ||||
\(737\) | 0.275172 | + | 0.701128i | 0.0101361 | + | 0.0258264i | ||||
\(738\) | 6.48044 | − | 0.819966i | 0.238548 | − | 0.0301834i | ||||
\(739\) | 30.1442 | − | 27.9697i | 1.10887 | − | 1.02888i | 0.109481 | − | 0.993989i | \(-0.465081\pi\) |
0.999391 | − | 0.0348937i | \(-0.0111093\pi\) | |||||||
\(740\) | −0.507369 | − | 6.77037i | −0.0186513 | − | 0.248884i | ||||
\(741\) | 76.7332 | − | 16.5582i | 2.81887 | − | 0.608279i | ||||
\(742\) | 24.4569 | − | 5.39297i | 0.897842 | − | 0.197982i | ||||
\(743\) | −1.25137 | − | 16.6984i | −0.0459083 | − | 0.612603i | −0.971951 | − | 0.235184i | \(-0.924431\pi\) |
0.926043 | − | 0.377419i | \(-0.123188\pi\) | |||||||
\(744\) | −8.63325 | − | 0.750117i | −0.316510 | − | 0.0275006i | ||||
\(745\) | 23.7209 | − | 11.4234i | 0.869066 | − | 0.418520i | ||||
\(746\) | −17.5987 | − | 2.65257i | −0.644334 | − | 0.0971177i | ||||
\(747\) | −2.06065 | − | 5.64063i | −0.0753953 | − | 0.206380i | ||||
\(748\) | −15.3761 | + | 19.2810i | −0.562206 | + | 0.704984i | ||||
\(749\) | 12.0997 | + | 2.85559i | 0.442115 | + | 0.104341i | ||||
\(750\) | 4.87102 | − | 6.96538i | 0.177864 | − | 0.254340i | ||||
\(751\) | −47.8480 | + | 23.0424i | −1.74600 | + | 0.840828i | −0.765728 | + | 0.643165i | \(0.777621\pi\) |
−0.980270 | + | 0.197663i | \(0.936665\pi\) | |||||||
\(752\) | −0.597323 | − | 0.554235i | −0.0217821 | − | 0.0202109i | ||||
\(753\) | 24.4067 | + | 5.87630i | 0.889429 | + | 0.214144i | ||||
\(754\) | −15.3830 | − | 26.6441i | −0.560214 | − | 0.970319i | ||||
\(755\) | −0.849803 | + | 3.72323i | −0.0309275 | + | 0.135502i | ||||
\(756\) | 12.6311 | − | 5.42730i | 0.459388 | − | 0.197389i | ||||
\(757\) | 10.4050 | + | 45.5874i | 0.378177 | + | 1.65690i | 0.703047 | + | 0.711143i | \(0.251822\pi\) |
−0.324870 | + | 0.945759i | \(0.605321\pi\) | |||||||
\(758\) | 14.3569 | − | 13.3212i | 0.521466 | − | 0.483849i | ||||
\(759\) | 11.1853 | + | 23.9495i | 0.405999 | + | 0.869312i | ||||
\(760\) | 24.0561 | − | 3.62587i | 0.872606 | − | 0.131524i | ||||
\(761\) | −7.35391 | − | 32.2196i | −0.266579 | − | 1.16796i | −0.913964 | − | 0.405796i | \(-0.866995\pi\) |
0.647385 | − | 0.762163i | \(-0.275863\pi\) | |||||||
\(762\) | −5.56176 | + | 3.12366i | −0.201481 | + | 0.113158i | ||||
\(763\) | −39.0531 | − | 22.9324i | −1.41382 | − | 0.830210i | ||||
\(764\) | 4.63025 | − | 20.2864i | 0.167516 | − | 0.733938i | ||||
\(765\) | 2.23383 | + | 43.7105i | 0.0807644 | + | 1.58036i | ||||
\(766\) | 8.18624 | + | 14.1790i | 0.295781 | + | 0.512307i | ||||
\(767\) | 9.83173 | − | 43.0756i | 0.355003 | − | 1.55537i | ||||
\(768\) | 0.530140 | − | 1.64892i | 0.0191298 | − | 0.0595004i | ||||
\(769\) | −3.46899 | + | 8.83883i | −0.125095 | + | 0.318736i | −0.979678 | − | 0.200579i | \(-0.935718\pi\) |
0.854583 | + | 0.519315i | \(0.173813\pi\) | |||||||
\(770\) | 51.0365 | + | 4.20280i | 1.83923 | + | 0.151459i | ||||
\(771\) | −10.7631 | + | 8.37626i | −0.387625 | + | 0.301664i | ||||
\(772\) | −7.00326 | + | 2.16022i | −0.252053 | + | 0.0777480i | ||||
\(773\) | −31.5372 | − | 4.75347i | −1.13431 | − | 0.170970i | −0.445068 | − | 0.895497i | \(-0.646820\pi\) |
−0.689247 | + | 0.724527i | \(0.742058\pi\) | |||||||
\(774\) | 32.3193 | + | 0.767376i | 1.16169 | + | 0.0275828i | ||||
\(775\) | −31.9112 | + | 4.80983i | −1.14628 | + | 0.172774i | ||||
\(776\) | 6.71184 | − | 4.57606i | 0.240941 | − | 0.164271i | ||||
\(777\) | 2.21800 | − | 8.92304i | 0.0795704 | − | 0.320112i | ||||
\(778\) | −4.90319 | − | 3.34294i | −0.175788 | − | 0.119850i | ||||
\(779\) | 14.1039 | + | 6.79207i | 0.505324 | + | 0.243351i | ||||
\(780\) | 0.438532 | − | 36.9442i | 0.0157020 | − | 1.32282i | ||||
\(781\) | 3.86709 | + | 1.86229i | 0.138375 | + | 0.0666380i | ||||
\(782\) | −4.20254 | − | 10.7079i | −0.150283 | − | 0.382914i | ||||
\(783\) | −23.9214 | + | 8.41860i | −0.854882 | + | 0.300856i | ||||
\(784\) | 1.45697 | + | 6.84669i | 0.0520347 | + | 0.244525i | ||||
\(785\) | −27.6770 | + | 47.9380i | −0.987834 | + | 1.71098i | ||||
\(786\) | −23.1024 | − | 9.38496i | −0.824034 | − | 0.334750i | ||||
\(787\) | 23.8436 | − | 16.2563i | 0.849933 | − | 0.579474i | −0.0581299 | − | 0.998309i | \(-0.518514\pi\) |
0.908062 | + | 0.418835i | \(0.137561\pi\) | |||||||
\(788\) | 0.915949 | + | 0.282533i | 0.0326293 | + | 0.0100648i | ||||
\(789\) | −6.64979 | − | 5.43340i | −0.236739 | − | 0.193434i | ||||
\(790\) | 3.09611 | − | 41.3147i | 0.110155 | − | 1.46991i | ||||
\(791\) | −30.6510 | + | 32.5499i | −1.08983 | + | 1.15734i | ||||
\(792\) | −10.3775 | − | 13.6663i | −0.368749 | − | 0.485611i | ||||
\(793\) | 8.63889 | − | 1.30210i | 0.306776 | − | 0.0462390i | ||||
\(794\) | −17.9622 | + | 8.65012i | −0.637453 | + | 0.306981i | ||||
\(795\) | −51.3999 | − | 20.8804i | −1.82297 | − | 0.740551i | ||||
\(796\) | 1.05241 | − | 4.61091i | 0.0373017 | − | 0.163429i | ||||
\(797\) | −47.3327 | − | 7.13425i | −1.67661 | − | 0.252708i | −0.759259 | − | 0.650789i | \(-0.774438\pi\) |
−0.917350 | + | 0.398081i | \(0.869676\pi\) | |||||||
\(798\) | 32.4778 | + | 5.53603i | 1.14970 | + | 0.195973i | ||||
\(799\) | 3.47393 | − | 0.523611i | 0.122899 | − | 0.0185240i | ||||
\(800\) | 0.482025 | − | 6.43218i | 0.0170422 | − | 0.227412i | ||||
\(801\) | 8.69421 | + | 23.7987i | 0.307195 | + | 0.840885i | ||||
\(802\) | −8.91149 | − | 15.4352i | −0.314676 | − | 0.545034i | ||||
\(803\) | 4.66205 | + | 8.07491i | 0.164520 | + | 0.284957i | ||||
\(804\) | 0.227622 | − | 0.0143432i | 0.00802760 | − | 0.000505847i | ||||
\(805\) | −13.6005 | + | 19.6360i | −0.479353 | + | 0.692077i | ||||
\(806\) | −23.1202 | + | 21.4524i | −0.814373 | + | 0.755628i | ||||
\(807\) | 18.7647 | − | 10.5388i | 0.660548 | − | 0.370985i | ||||
\(808\) | 5.09573 | + | 6.38985i | 0.179267 | + | 0.224794i | ||||
\(809\) | 10.0988 | − | 25.7313i | 0.355054 | − | 0.904664i | −0.636059 | − | 0.771641i | \(-0.719436\pi\) |
0.991113 | − | 0.133023i | \(-0.0424684\pi\) | |||||||
\(810\) | −29.8648 | − | 5.96310i | −1.04934 | − | 0.209522i | ||||
\(811\) | 5.29624 | + | 23.2044i | 0.185976 | + | 0.814815i | 0.978710 | + | 0.205247i | \(0.0657999\pi\) |
−0.792734 | + | 0.609568i | \(0.791343\pi\) | |||||||
\(812\) | −1.83043 | − | 12.7821i | −0.0642354 | − | 0.448563i | ||||
\(813\) | −4.67711 | − | 7.03811i | −0.164033 | − | 0.246837i | ||||
\(814\) | −11.4766 | −0.402256 | ||||||||
\(815\) | −24.3441 | + | 42.1652i | −0.852736 | + | 1.47698i | ||||
\(816\) | 4.13316 | + | 6.21958i | 0.144689 | + | 0.217729i | ||||
\(817\) | 64.0126 | + | 43.6430i | 2.23952 | + | 1.52688i | ||||
\(818\) | −6.04817 | − | 7.58417i | −0.211469 | − | 0.265174i | ||||
\(819\) | 16.2280 | − | 47.3310i | 0.567053 | − | 1.65388i | ||||
\(820\) | 4.59376 | − | 5.76039i | 0.160421 | − | 0.201162i | ||||
\(821\) | 20.5441 | − | 6.33703i | 0.716996 | − | 0.221164i | 0.0852722 | − | 0.996358i | \(-0.472824\pi\) |
0.631723 | + | 0.775194i | \(0.282348\pi\) | |||||||
\(822\) | 21.6980 | + | 8.81447i | 0.756806 | + | 0.307440i | ||||
\(823\) | 2.36874 | − | 31.6086i | 0.0825690 | − | 1.10181i | −0.789932 | − | 0.613195i | \(-0.789884\pi\) |
0.872501 | − | 0.488612i | \(-0.162497\pi\) | |||||||
\(824\) | −1.47334 | − | 1.84752i | −0.0513264 | − | 0.0643612i | ||||
\(825\) | −49.4856 | − | 40.4336i | −1.72287 | − | 1.40772i | ||||
\(826\) | 10.5586 | − | 15.2443i | 0.367382 | − | 0.530416i | ||||
\(827\) | 24.2994 | − | 11.7020i | 0.844973 | − | 0.406918i | 0.0392639 | − | 0.999229i | \(-0.487499\pi\) |
0.805709 | + | 0.592311i | \(0.201784\pi\) | |||||||
\(828\) | 7.94074 | − | 1.00474i | 0.275960 | − | 0.0349170i | ||||
\(829\) | 31.1816 | − | 28.9323i | 1.08298 | − | 1.00486i | 0.0830158 | − | 0.996548i | \(-0.473545\pi\) |
0.999965 | − | 0.00831152i | \(-0.00264567\pi\) | |||||||
\(830\) | −6.10275 | − | 2.93893i | −0.211830 | − | 0.102012i | ||||
\(831\) | −20.0997 | + | 15.6423i | −0.697251 | + | 0.542626i | ||||
\(832\) | −3.15195 | − | 5.45934i | −0.109274 | − | 0.189269i | ||||
\(833\) | −26.9957 | − | 13.4937i | −0.935344 | − | 0.467531i | ||||
\(834\) | −13.6339 | + | 14.3485i | −0.472105 | + | 0.496848i | ||||
\(835\) | −27.8764 | − | 4.20170i | −0.964704 | − | 0.145406i | ||||
\(836\) | −3.07315 | − | 41.0084i | −0.106287 | − | 1.41830i | ||||
\(837\) | 13.8708 | + | 21.9877i | 0.479446 | + | 0.760008i | ||||
\(838\) | 14.8206 | − | 10.1045i | 0.511969 | − | 0.349054i | ||||
\(839\) | −2.83480 | + | 37.8277i | −0.0978680 | + | 1.30596i | 0.704746 | + | 0.709459i | \(0.251061\pi\) |
−0.802614 | + | 0.596498i | \(0.796558\pi\) | |||||||
\(840\) | 5.94176 | − | 14.3231i | 0.205010 | − | 0.494192i | ||||
\(841\) | −0.387190 | − | 5.16670i | −0.0133514 | − | 0.178162i | ||||
\(842\) | 6.16987 | + | 7.73677i | 0.212628 | + | 0.266627i | ||||
\(843\) | 13.1141 | − | 40.7895i | 0.451673 | − | 1.40486i | ||||
\(844\) | −0.353135 | + | 0.442818i | −0.0121554 | + | 0.0152424i | ||||
\(845\) | −66.3270 | − | 61.5425i | −2.28172 | − | 2.11712i | ||||
\(846\) | −0.240492 | + | 2.43267i | −0.00826829 | + | 0.0836371i | ||||
\(847\) | 8.98214 | − | 56.7537i | 0.308630 | − | 1.95008i | ||||
\(848\) | −9.36019 | + | 1.41082i | −0.321430 | + | 0.0484478i | ||||
\(849\) | 5.73697 | − | 17.8440i | 0.196892 | − | 0.612405i | ||||
\(850\) | 20.3861 | + | 18.9155i | 0.699236 | + | 0.648796i | ||||
\(851\) | 2.67658 | − | 4.63598i | 0.0917520 | − | 0.158919i | ||||
\(852\) | 0.895265 | − | 0.942186i | 0.0306713 | − | 0.0322788i | ||||
\(853\) | −14.3549 | − | 13.3194i | −0.491502 | − | 0.456047i | 0.395061 | − | 0.918655i | \(-0.370723\pi\) |
−0.886563 | + | 0.462608i | \(0.846914\pi\) | |||||||
\(854\) | 3.56866 | + | 0.842219i | 0.122117 | + | 0.0288201i | ||||
\(855\) | −52.3072 | − | 50.8973i | −1.78887 | − | 1.74065i | ||||
\(856\) | −4.49014 | − | 1.38503i | −0.153470 | − | 0.0473392i | ||||
\(857\) | −13.1849 | − | 16.5334i | −0.450388 | − | 0.564769i | 0.503860 | − | 0.863785i | \(-0.331913\pi\) |
−0.954248 | + | 0.299017i | \(0.903341\pi\) | |||||||
\(858\) | −62.2199 | − | 5.40611i | −2.12415 | − | 0.184561i | ||||
\(859\) | 10.0605 | + | 44.0779i | 0.343260 | + | 1.50392i | 0.792147 | + | 0.610330i | \(0.208963\pi\) |
−0.448887 | + | 0.893588i | \(0.648180\pi\) | |||||||
\(860\) | 26.7304 | − | 24.8022i | 0.911498 | − | 0.845746i | ||||
\(861\) | 8.35076 | − | 5.46119i | 0.284593 | − | 0.186117i | ||||
\(862\) | 18.2185 | + | 16.9043i | 0.620524 | + | 0.575762i | ||||
\(863\) | 15.2164 | − | 26.3555i | 0.517971 | − | 0.897152i | −0.481811 | − | 0.876275i | \(-0.660021\pi\) |
0.999782 | − | 0.0208769i | \(-0.00664580\pi\) | |||||||
\(864\) | −4.90148 | + | 1.72496i | −0.166752 | + | 0.0586844i | ||||
\(865\) | 63.7465 | − | 19.6632i | 2.16744 | − | 0.668568i | ||||
\(866\) | 17.3199 | + | 11.8085i | 0.588554 | + | 0.401269i | ||||
\(867\) | −2.74139 | − | 0.238191i | −0.0931025 | − | 0.00808940i | ||||
\(868\) | −12.3574 | + | 4.74522i | −0.419438 | + | 0.161063i | ||||
\(869\) | −69.2513 | − | 10.4380i | −2.34919 | − | 0.354084i | ||||
\(870\) | −12.7158 | + | 25.6222i | −0.431107 | + | 0.868675i | ||||
\(871\) | 0.517551 | − | 0.648988i | 0.0175365 | − | 0.0219901i | ||||
\(872\) | 14.1431 | + | 9.64259i | 0.478945 | + | 0.326539i | ||||
\(873\) | −23.1104 | − | 7.73396i | −0.782167 | − | 0.261755i | ||||
\(874\) | 17.2820 | + | 8.32259i | 0.584573 | + | 0.281516i | ||||
\(875\) | 2.02956 | − | 12.8238i | 0.0686115 | − | 0.433522i | ||||
\(876\) | 2.75989 | − | 0.595553i | 0.0932481 | − | 0.0201219i | ||||
\(877\) | 0.971107 | + | 0.467660i | 0.0327919 | + | 0.0157918i | 0.450208 | − | 0.892924i | \(-0.351350\pi\) |
−0.417416 | + | 0.908716i | \(0.637064\pi\) | |||||||
\(878\) | 4.97809 | + | 1.53554i | 0.168002 | + | 0.0518219i | ||||
\(879\) | 1.10197 | − | 6.76525i | 0.0371686 | − | 0.228186i | ||||
\(880\) | −19.1391 | − | 2.88475i | −0.645179 | − | 0.0972450i | ||||
\(881\) | 42.0711 | 1.41741 | 0.708705 | − | 0.705505i | \(-0.249280\pi\) | ||||
0.708705 | + | 0.705505i | \(0.249280\pi\) | |||||||
\(882\) | 13.7150 | − | 15.9028i | 0.461808 | − | 0.535475i | ||||
\(883\) | −53.2583 | −1.79229 | −0.896143 | − | 0.443765i | \(-0.853642\pi\) | ||||
−0.896143 | + | 0.443765i | \(0.853642\pi\) | |||||||
\(884\) | 26.8755 | + | 4.05083i | 0.903920 | + | 0.136244i | ||||
\(885\) | −38.4145 | + | 14.5528i | −1.29129 | + | 0.489188i | ||||
\(886\) | 4.71689 | + | 1.45497i | 0.158467 | + | 0.0488806i | ||||
\(887\) | −16.8514 | − | 8.11520i | −0.565814 | − | 0.272482i | 0.129032 | − | 0.991640i | \(-0.458813\pi\) |
−0.694846 | + | 0.719159i | \(0.744527\pi\) | |||||||
\(888\) | −1.06368 | + | 3.30843i | −0.0356949 | + | 0.111024i | ||||
\(889\) | −5.54809 | + | 8.01018i | −0.186077 | + | 0.268653i | ||||
\(890\) | 25.7485 | + | 12.3998i | 0.863090 | + | 0.415642i | ||||
\(891\) | −13.8244 | + | 49.5887i | −0.463133 | + | 1.66128i | ||||
\(892\) | −9.87471 | − | 6.73246i | −0.330630 | − | 0.225419i | ||||
\(893\) | −3.65258 | + | 4.58020i | −0.122229 | + | 0.153270i | ||||
\(894\) | −13.4498 | + | 0.847516i | −0.449827 | + | 0.0283452i | ||||
\(895\) | −4.95977 | − | 0.747565i | −0.165787 | − | 0.0249883i | ||||
\(896\) | −0.375053 | − | 2.61903i | −0.0125296 | − | 0.0874958i | ||||
\(897\) | 16.6947 | − | 23.8729i | 0.557421 | − | 0.797093i | ||||
\(898\) | 9.87193 | + | 6.73057i | 0.329431 | + | 0.224602i | ||||
\(899\) | 23.3330 | − | 7.19728i | 0.778199 | − | 0.240043i | ||||
\(900\) | −16.2425 | + | 10.5180i | −0.541416 | + | 0.350601i | ||||
\(901\) | 20.4060 | − | 35.3442i | 0.679821 | − | 1.17749i | ||||
\(902\) | −9.12976 | − | 8.47118i | −0.303988 | − | 0.282060i | ||||
\(903\) | 44.8959 | − | 20.5666i | 1.49404 | − | 0.684414i | ||||
\(904\) | 12.3877 | − | 11.4941i | 0.412008 | − | 0.382288i | ||||
\(905\) | 9.63857 | + | 42.2293i | 0.320397 | + | 1.40375i | ||||
\(906\) | 1.12027 | − | 1.60194i | 0.0372184 | − | 0.0532210i | ||||
\(907\) | 12.1061 | + | 15.1806i | 0.401978 | + | 0.504064i | 0.941084 | − | 0.338174i | \(-0.109809\pi\) |
−0.539106 | + | 0.842238i | \(0.681238\pi\) | |||||||
\(908\) | 4.44385 | + | 1.37075i | 0.147474 | + | 0.0454898i | ||||
\(909\) | 6.02181 | − | 23.7678i | 0.199731 | − | 0.788328i | ||||
\(910\) | −24.1121 | − | 51.0271i | −0.799308 | − | 1.69153i | ||||
\(911\) | 35.1378 | + | 32.6032i | 1.16417 | + | 1.08019i | 0.995524 | + | 0.0945137i | \(0.0301296\pi\) |
0.168645 | + | 0.985677i | \(0.446061\pi\) | |||||||
\(912\) | −12.1066 | − | 2.91485i | −0.400888 | − | 0.0965202i | ||||
\(913\) | −5.72495 | + | 9.91591i | −0.189468 | + | 0.328169i | ||||
\(914\) | 21.1518 | + | 19.6260i | 0.699639 | + | 0.649170i | ||||
\(915\) | −5.45369 | − | 6.01942i | −0.180293 | − | 0.198996i | ||||
\(916\) | 27.2923 | − | 4.11365i | 0.901762 | − | 0.135919i | ||||
\(917\) | −38.0036 | + | 2.56670i | −1.25499 | + | 0.0847599i | ||||
\(918\) | 7.36136 | − | 21.1591i | 0.242961 | − | 0.698353i | ||||
\(919\) | −21.1498 | − | 19.6242i | −0.697668 | − | 0.647342i | 0.249390 | − | 0.968403i | \(-0.419770\pi\) |
−0.947058 | + | 0.321062i | \(0.895960\pi\) | |||||||
\(920\) | 5.62892 | − | 7.05844i | 0.185580 | − | 0.232710i | ||||
\(921\) | −50.4456 | + | 10.8856i | −1.66224 | + | 0.358693i | ||||
\(922\) | 10.0122 | + | 12.5549i | 0.329735 | + | 0.413475i | ||||
\(923\) | −0.353498 | − | 4.71710i | −0.0116355 | − | 0.155265i | ||||
\(924\) | −23.3932 | − | 11.8251i | −0.769580 | − | 0.389017i | ||||
\(925\) | −0.967144 | + | 12.9056i | −0.0317995 | + | 0.424335i | ||||
\(926\) | 10.7653 | − | 7.33965i | 0.353770 | − | 0.241196i | ||||
\(927\) | −1.74110 | + | 6.87205i | −0.0571853 | + | 0.225708i | ||||
\(928\) | 0.364717 | + | 4.86681i | 0.0119724 | + | 0.159761i | ||||
\(929\) | 45.8331 | + | 6.90822i | 1.50373 | + | 0.226652i | 0.848671 | − | 0.528922i | \(-0.177404\pi\) |
0.655064 | + | 0.755573i | \(0.272642\pi\) | |||||||
\(930\) | 28.5087 | + | 6.86393i | 0.934838 | + | 0.225077i | ||||
\(931\) | 48.3036 | − | 14.1241i | 1.58309 | − | 0.462898i | ||||
\(932\) | −5.58222 | − | 9.66869i | −0.182852 | − | 0.316708i | ||||
\(933\) | −4.40610 | − | 31.7883i | −0.144249 | − | 1.04070i | ||||
\(934\) | −2.51186 | − | 1.20965i | −0.0821906 | − | 0.0395809i | ||||
\(935\) | 61.1728 | − | 56.7601i | 2.00057 | − | 1.85625i | ||||
\(936\) | −7.32515 | + | 17.4355i | −0.239430 | + | 0.569896i | ||||
\(937\) | 0.877218 | − | 0.422446i | 0.0286574 | − | 0.0138007i | −0.419500 | − | 0.907755i | \(-0.637795\pi\) |
0.448158 | + | 0.893955i | \(0.352080\pi\) | |||||||
\(938\) | 0.302987 | − | 0.171967i | 0.00989288 | − | 0.00561493i | ||||
\(939\) | −4.71960 | + | 28.9746i | −0.154018 | + | 0.945551i | ||||
\(940\) | 1.71914 | + | 2.15573i | 0.0560721 | + | 0.0703122i | ||||
\(941\) | 3.72520 | − | 49.7094i | 0.121438 | − | 1.62048i | −0.520596 | − | 0.853803i | \(-0.674290\pi\) |
0.642034 | − | 0.766676i | \(-0.278091\pi\) | |||||||
\(942\) | 22.3603 | − | 17.4016i | 0.728537 | − | 0.566974i | ||||
\(943\) | 5.55118 | − | 1.71231i | 0.180771 | − | 0.0557605i | ||||
\(944\) | −4.36997 | + | 5.47977i | −0.142231 | + | 0.178351i | ||||
\(945\) | −45.0011 | + | 11.7896i | −1.46388 | + | 0.383516i | ||||
\(946\) | −38.4313 | − | 48.1913i | −1.24951 | − | 1.56684i | ||||
\(947\) | 34.4044 | + | 23.4565i | 1.11799 | + | 0.762235i | 0.973821 | − | 0.227317i | \(-0.0729955\pi\) |
0.144173 | + | 0.989553i | \(0.453948\pi\) | |||||||
\(948\) | −9.42740 | + | 18.9961i | −0.306188 | + | 0.616964i | ||||
\(949\) | 5.13800 | − | 8.89928i | 0.166787 | − | 0.288883i | ||||
\(950\) | −46.3735 | −1.50456 | ||||||||
\(951\) | 45.0562 | − | 2.83915i | 1.46105 | − | 0.0920656i | ||||
\(952\) | 9.83653 | + | 5.77612i | 0.318804 | + | 0.187205i | ||||
\(953\) | −7.14324 | − | 31.2966i | −0.231392 | − | 1.01380i | −0.948486 | − | 0.316819i | \(-0.897385\pi\) |
0.717094 | − | 0.696976i | \(-0.245472\pi\) | |||||||
\(954\) | 20.3527 | + | 19.8041i | 0.658942 | + | 0.641180i | ||||
\(955\) | −25.7240 | + | 65.5437i | −0.832409 | + | 2.12094i | ||||
\(956\) | −8.45755 | − | 10.6054i | −0.273537 | − | 0.343004i | ||||
\(957\) | 41.5840 | + | 24.6712i | 1.34422 | + | 0.797508i | ||||
\(958\) | −13.5603 | + | 12.5821i | −0.438112 | + | 0.406509i | ||||
\(959\) | 35.6934 | − | 2.41068i | 1.15260 | − | 0.0778448i | ||||
\(960\) | −2.60546 | + | 5.24997i | −0.0840910 | + | 0.169442i | ||||
\(961\) | 2.98406 | + | 5.16855i | 0.0962601 | + | 0.166727i | ||||
\(962\) | 6.32414 | + | 10.9537i | 0.203898 | + | 0.353162i | ||||
\(963\) | 4.83717 | + | 13.2408i | 0.155876 | + | 0.426679i | ||||
\(964\) | 0.468721 | − | 6.25465i | 0.0150965 | − | 0.201449i | ||||
\(965\) | 24.5225 | − | 3.69617i | 0.789408 | − | 0.118984i | ||||
\(966\) | 10.2325 | − | 6.69182i | 0.329226 | − | 0.215306i | ||||
\(967\) | 31.1541 | + | 4.69572i | 1.00185 | + | 0.151004i | 0.629427 | − | 0.777060i | \(-0.283290\pi\) |
0.372421 | + | 0.928064i | \(0.378528\pi\) | |||||||
\(968\) | −4.83268 | + | 21.1734i | −0.155328 | + | 0.680537i | ||||
\(969\) | 42.3697 | − | 32.9737i | 1.36111 | − | 1.05927i | ||||
\(970\) | −24.7658 | + | 11.9266i | −0.795183 | + | 0.382940i | ||||
\(971\) | −60.4923 | + | 9.11775i | −1.94129 | + | 0.292602i | −0.999098 | − | 0.0424699i | \(-0.986477\pi\) |
−0.942192 | + | 0.335072i | \(0.891239\pi\) | |||||||
\(972\) | 13.0139 | + | 8.58123i | 0.417422 | + | 0.275243i | ||||
\(973\) | −9.12424 | + | 28.8247i | −0.292510 | + | 0.924078i | ||||
\(974\) | −0.198191 | + | 2.64467i | −0.00635044 | + | 0.0847408i | ||||
\(975\) | −11.3226 | + | 69.5117i | −0.362613 | + | 2.22616i | ||||
\(976\) | −1.32431 | − | 0.408496i | −0.0423902 | − | 0.0130756i | ||||
\(977\) | 32.5317 | − | 22.1798i | 1.04078 | − | 0.709594i | 0.0828428 | − | 0.996563i | \(-0.473600\pi\) |
0.957940 | + | 0.286969i | \(0.0926477\pi\) | |||||||
\(978\) | 19.6676 | − | 15.3061i | 0.628901 | − | 0.489434i | ||||
\(979\) | 24.1545 | − | 41.8367i | 0.771980 | − | 1.33711i | ||||
\(980\) | −1.42206 | − | 23.6440i | −0.0454260 | − | 0.755279i | ||||
\(981\) | −2.62095 | − | 51.2854i | −0.0836803 | − | 1.63742i | ||||
\(982\) | −3.20780 | − | 8.17335i | −0.102365 | − | 0.260822i | ||||
\(983\) | −6.47338 | − | 3.11741i | −0.206469 | − | 0.0994301i | 0.327792 | − | 0.944750i | \(-0.393696\pi\) |
−0.534260 | + | 0.845320i | \(0.679410\pi\) | |||||||
\(984\) | −3.28821 | + | 1.84676i | −0.104824 | + | 0.0588725i | ||||
\(985\) | −2.92229 | − | 1.40730i | −0.0931120 | − | 0.0448404i | ||||
\(986\) | −17.3856 | − | 11.8533i | −0.553671 | − | 0.377486i | ||||
\(987\) | 1.29711 | + | 3.50156i | 0.0412875 | + | 0.111456i | ||||
\(988\) | −37.4465 | + | 25.5306i | −1.19133 | + | 0.812237i | ||||
\(989\) | 28.4298 | − | 4.28511i | 0.904016 | − | 0.136258i | ||||
\(990\) | 27.8311 | + | 50.9615i | 0.884530 | + | 1.61966i | ||||
\(991\) | −27.5759 | − | 4.15640i | −0.875977 | − | 0.132032i | −0.304364 | − | 0.952556i | \(-0.598444\pi\) |
−0.571613 | + | 0.820524i | \(0.693682\pi\) | |||||||
\(992\) | 4.78091 | − | 1.47472i | 0.151794 | − | 0.0468222i | ||||
\(993\) | −18.1284 | − | 7.36435i | −0.575286 | − | 0.233701i | ||||
\(994\) | 0.599138 | − | 1.89276i | 0.0190035 | − | 0.0600347i | ||||
\(995\) | −5.84681 | + | 14.8974i | −0.185356 | + | 0.472281i | ||||
\(996\) | 2.32791 | + | 2.56940i | 0.0737628 | + | 0.0814145i | ||||
\(997\) | −4.39600 | + | 19.2602i | −0.139223 | + | 0.609975i | 0.856384 | + | 0.516340i | \(0.172706\pi\) |
−0.995607 | + | 0.0936352i | \(0.970151\pi\) | |||||||
\(998\) | −2.32614 | − | 4.02900i | −0.0736328 | − | 0.127536i | ||||
\(999\) | 9.83442 | − | 3.46100i | 0.311147 | − | 0.109501i |
(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 | 882.2.y.b.457.4 | yes | 336 | |
9.4 | even | 3 | 882.2.bb.a.751.23 | yes | 336 | ||
49.46 | even | 21 | 882.2.bb.a.781.23 | yes | 336 | ||
441.193 | even | 21 | inner | 882.2.y.b.193.4 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.b.193.4 | ✓ | 336 | 441.193 | even | 21 | inner | |
882.2.y.b.457.4 | yes | 336 | 1.1 | even | 1 | trivial | |
882.2.bb.a.751.23 | yes | 336 | 9.4 | even | 3 | ||
882.2.bb.a.781.23 | yes | 336 | 49.46 | even | 21 |