Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 39.14 | ||
Character | \(\chi\) | \(=\) | 175.39 |
Dual form | 175.2.t.a.9.14 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.616889 | − | 1.38556i | 0.436207 | − | 0.979736i | −0.552996 | − | 0.833184i | \(-0.686516\pi\) |
0.989203 | − | 0.146552i | \(-0.0468177\pi\) | |||||||
\(3\) | 2.15328 | − | 1.93883i | 1.24320 | − | 1.11938i | 0.254882 | − | 0.966972i | \(-0.417963\pi\) |
0.988317 | − | 0.152409i | \(-0.0487032\pi\) | |||||||
\(4\) | −0.200952 | − | 0.223180i | −0.100476 | − | 0.111590i | ||||
\(5\) | −1.69368 | + | 1.45995i | −0.757436 | + | 0.652910i | ||||
\(6\) | −1.35801 | − | 4.17954i | −0.554407 | − | 1.70629i | ||||
\(7\) | −2.50069 | + | 0.864026i | −0.945173 | + | 0.326571i | ||||
\(8\) | 2.45170 | − | 0.796607i | 0.866808 | − | 0.281643i | ||||
\(9\) | 0.564002 | − | 5.36612i | 0.188001 | − | 1.78871i | ||||
\(10\) | 0.978032 | + | 3.24731i | 0.309281 | + | 1.02689i | ||||
\(11\) | 0.0311666 | + | 0.296530i | 0.00939709 | + | 0.0894073i | 0.998215 | − | 0.0597192i | \(-0.0190205\pi\) |
−0.988818 | + | 0.149126i | \(0.952354\pi\) | |||||||
\(12\) | −0.865413 | − | 0.0909585i | −0.249823 | − | 0.0262575i | ||||
\(13\) | −0.705999 | + | 0.971725i | −0.195809 | + | 0.269508i | −0.895620 | − | 0.444820i | \(-0.853268\pi\) |
0.699811 | + | 0.714328i | \(0.253268\pi\) | |||||||
\(14\) | −0.345493 | + | 3.99786i | −0.0923369 | + | 1.06847i | ||||
\(15\) | −0.816379 | + | 6.42744i | −0.210788 | + | 1.65956i | ||||
\(16\) | 0.471470 | − | 4.48574i | 0.117867 | − | 1.12143i | ||||
\(17\) | −1.37395 | + | 6.46391i | −0.333231 | + | 1.56773i | 0.418475 | + | 0.908228i | \(0.362565\pi\) |
−0.751705 | + | 0.659499i | \(0.770768\pi\) | |||||||
\(18\) | −7.08713 | − | 4.09176i | −1.67045 | − | 0.964437i | ||||
\(19\) | 2.07257 | − | 2.30182i | 0.475481 | − | 0.528075i | −0.456917 | − | 0.889509i | \(-0.651046\pi\) |
0.932397 | + | 0.361435i | \(0.117713\pi\) | |||||||
\(20\) | 0.666179 | + | 0.0846145i | 0.148962 | + | 0.0189204i | ||||
\(21\) | −3.70950 | + | 6.70890i | −0.809480 | + | 1.46400i | ||||
\(22\) | 0.430086 | + | 0.139743i | 0.0916946 | + | 0.0297934i | ||||
\(23\) | −2.69533 | + | 6.05382i | −0.562016 | + | 1.26231i | 0.379453 | + | 0.925211i | \(0.376112\pi\) |
−0.941470 | + | 0.337098i | \(0.890555\pi\) | |||||||
\(24\) | 3.73473 | − | 6.46875i | 0.762349 | − | 1.32043i | ||||
\(25\) | 0.737087 | − | 4.94537i | 0.147417 | − | 0.989074i | ||||
\(26\) | 0.910856 | + | 1.57765i | 0.178634 | + | 0.309402i | ||||
\(27\) | −4.08014 | − | 5.61583i | −0.785224 | − | 1.08077i | ||||
\(28\) | 0.695352 | + | 0.384476i | 0.131409 | + | 0.0726591i | ||||
\(29\) | 1.97373 | − | 6.07451i | 0.366512 | − | 1.12801i | −0.582517 | − | 0.812818i | \(-0.697932\pi\) |
0.949029 | − | 0.315189i | \(-0.102068\pi\) | |||||||
\(30\) | 8.40196 | + | 5.09615i | 1.53398 | + | 0.930426i | ||||
\(31\) | 1.12021 | + | 0.238107i | 0.201195 | + | 0.0427654i | 0.307407 | − | 0.951578i | \(-0.400539\pi\) |
−0.106212 | + | 0.994344i | \(0.533872\pi\) | |||||||
\(32\) | −1.45939 | − | 0.842577i | −0.257985 | − | 0.148948i | ||||
\(33\) | 0.642032 | + | 0.578088i | 0.111763 | + | 0.100632i | ||||
\(34\) | 8.10853 | + | 5.89119i | 1.39060 | + | 1.01033i | ||||
\(35\) | 2.97393 | − | 5.11427i | 0.502686 | − | 0.864469i | ||||
\(36\) | −1.31095 | + | 0.952458i | −0.218491 | + | 0.158743i | ||||
\(37\) | −2.74736 | − | 0.288759i | −0.451663 | − | 0.0474717i | −0.124034 | − | 0.992278i | \(-0.539583\pi\) |
−0.327629 | + | 0.944806i | \(0.606250\pi\) | |||||||
\(38\) | −1.91076 | − | 4.29163i | −0.309966 | − | 0.696195i | ||||
\(39\) | 0.363788 | + | 3.46121i | 0.0582527 | + | 0.554237i | ||||
\(40\) | −2.98939 | + | 4.92856i | −0.472664 | + | 0.779274i | ||||
\(41\) | −7.69071 | − | 5.58763i | −1.20109 | − | 0.872641i | −0.206695 | − | 0.978405i | \(-0.566271\pi\) |
−0.994391 | + | 0.105765i | \(0.966271\pi\) | |||||||
\(42\) | 7.00720 | + | 9.27837i | 1.08123 | + | 1.43168i | ||||
\(43\) | − | 2.00893i | − | 0.306359i | −0.988198 | − | 0.153180i | \(-0.951049\pi\) | ||
0.988198 | − | 0.153180i | \(-0.0489513\pi\) | |||||||
\(44\) | 0.0599166 | − | 0.0665441i | 0.00903276 | − | 0.0100319i | ||||
\(45\) | 6.87904 | + | 9.91189i | 1.02547 | + | 1.47758i | ||||
\(46\) | 6.72518 | + | 7.46907i | 0.991574 | + | 1.10125i | ||||
\(47\) | 1.56037 | + | 7.34097i | 0.227604 | + | 1.07079i | 0.932413 | + | 0.361394i | \(0.117699\pi\) |
−0.704810 | + | 0.709397i | \(0.748968\pi\) | |||||||
\(48\) | −7.68185 | − | 10.5732i | −1.10878 | − | 1.52610i | ||||
\(49\) | 5.50692 | − | 4.32133i | 0.786702 | − | 0.617332i | ||||
\(50\) | −6.39739 | − | 4.07202i | −0.904727 | − | 0.575871i | ||||
\(51\) | 9.57389 | + | 16.5825i | 1.34061 | + | 2.32201i | ||||
\(52\) | 0.358741 | − | 0.0377052i | 0.0497484 | − | 0.00522877i | ||||
\(53\) | 5.45461 | − | 4.91135i | 0.749248 | − | 0.674626i | −0.203265 | − | 0.979124i | \(-0.565155\pi\) |
0.952513 | + | 0.304498i | \(0.0984887\pi\) | |||||||
\(54\) | −10.2980 | + | 2.18892i | −1.40139 | + | 0.297874i | ||||
\(55\) | −0.485706 | − | 0.456725i | −0.0654926 | − | 0.0615848i | ||||
\(56\) | −5.44267 | + | 4.11040i | −0.727307 | + | 0.549276i | ||||
\(57\) | − | 8.97484i | − | 1.18875i | ||||||
\(58\) | −7.19900 | − | 6.48201i | −0.945275 | − | 0.851129i | ||||
\(59\) | −11.2461 | + | 5.00707i | −1.46411 | + | 0.651865i | −0.975372 | − | 0.220565i | \(-0.929210\pi\) |
−0.488740 | + | 0.872429i | \(0.662543\pi\) | |||||||
\(60\) | 1.59853 | − | 1.10941i | 0.206369 | − | 0.143224i | ||||
\(61\) | −8.55099 | − | 3.80715i | −1.09484 | − | 0.487455i | −0.221796 | − | 0.975093i | \(-0.571192\pi\) |
−0.873046 | + | 0.487638i | \(0.837859\pi\) | |||||||
\(62\) | 1.02096 | − | 1.40522i | 0.129661 | − | 0.178464i | ||||
\(63\) | 3.22607 | + | 13.9063i | 0.406447 | + | 1.75203i | ||||
\(64\) | 5.23034 | − | 3.80006i | 0.653792 | − | 0.475008i | ||||
\(65\) | −0.222935 | − | 2.67651i | −0.0276517 | − | 0.331981i | ||||
\(66\) | 1.19704 | − | 0.532954i | 0.147345 | − | 0.0656022i | ||||
\(67\) | 1.71355 | − | 8.06160i | 0.209343 | − | 0.984881i | −0.740477 | − | 0.672082i | \(-0.765400\pi\) |
0.949819 | − | 0.312799i | \(-0.101266\pi\) | |||||||
\(68\) | 1.71871 | − | 0.992297i | 0.208424 | − | 0.120334i | ||||
\(69\) | 5.93348 | + | 18.2614i | 0.714307 | + | 2.19841i | ||||
\(70\) | −5.25152 | − | 7.27548i | −0.627677 | − | 0.869587i | ||||
\(71\) | −1.15037 | + | 3.54049i | −0.136524 | + | 0.420179i | −0.995824 | − | 0.0912938i | \(-0.970900\pi\) |
0.859300 | + | 0.511472i | \(0.170900\pi\) | |||||||
\(72\) | −2.89192 | − | 13.6054i | −0.340816 | − | 1.60341i | ||||
\(73\) | 8.30494 | − | 0.872884i | 0.972019 | − | 0.102163i | 0.394813 | − | 0.918762i | \(-0.370809\pi\) |
0.577206 | + | 0.816598i | \(0.304143\pi\) | |||||||
\(74\) | −2.09491 | + | 3.62849i | −0.243528 | + | 0.421803i | ||||
\(75\) | −8.00106 | − | 12.0779i | −0.923882 | − | 1.39463i | ||||
\(76\) | −0.930207 | −0.106702 | ||||||||
\(77\) | −0.334148 | − | 0.714602i | −0.0380797 | − | 0.0814365i | ||||
\(78\) | 5.02012 | + | 1.63113i | 0.568416 | + | 0.184690i | ||||
\(79\) | 7.57630 | − | 1.61039i | 0.852400 | − | 0.181183i | 0.239063 | − | 0.971004i | \(-0.423160\pi\) |
0.613338 | + | 0.789821i | \(0.289827\pi\) | |||||||
\(80\) | 5.75044 | + | 8.28571i | 0.642918 | + | 0.926371i | ||||
\(81\) | −3.84052 | − | 0.816327i | −0.426724 | − | 0.0907030i | ||||
\(82\) | −12.4863 | + | 7.20896i | −1.37888 | + | 0.796096i | ||||
\(83\) | 1.86230 | − | 0.605097i | 0.204414 | − | 0.0664180i | −0.205021 | − | 0.978758i | \(-0.565726\pi\) |
0.409434 | + | 0.912340i | \(0.365726\pi\) | |||||||
\(84\) | 2.24272 | − | 0.520280i | 0.244701 | − | 0.0567672i | ||||
\(85\) | −7.10996 | − | 12.9537i | −0.771184 | − | 1.40502i | ||||
\(86\) | −2.78349 | − | 1.23929i | −0.300151 | − | 0.133636i | ||||
\(87\) | −7.52742 | − | 16.9069i | −0.807024 | − | 1.81260i | ||||
\(88\) | 0.312629 | + | 0.702177i | 0.0333264 | + | 0.0748524i | ||||
\(89\) | −3.79878 | − | 1.69132i | −0.402669 | − | 0.179280i | 0.195401 | − | 0.980723i | \(-0.437399\pi\) |
−0.598071 | + | 0.801443i | \(0.704066\pi\) | |||||||
\(90\) | 17.9771 | − | 3.41675i | 1.89495 | − | 0.360157i | ||||
\(91\) | 0.925891 | − | 3.03999i | 0.0970598 | − | 0.318677i | ||||
\(92\) | 1.89272 | − | 0.614983i | 0.197330 | − | 0.0641164i | ||||
\(93\) | 2.87377 | − | 1.65917i | 0.297997 | − | 0.172048i | ||||
\(94\) | 11.1339 | + | 2.36658i | 1.14837 | + | 0.244095i | ||||
\(95\) | −0.149718 | + | 6.92440i | −0.0153608 | + | 0.710428i | ||||
\(96\) | −4.77608 | + | 1.01519i | −0.487457 | + | 0.103612i | ||||
\(97\) | −3.80086 | − | 1.23497i | −0.385919 | − | 0.125393i | 0.109630 | − | 0.993972i | \(-0.465033\pi\) |
−0.495549 | + | 0.868580i | \(0.665033\pi\) | |||||||
\(98\) | −2.59028 | − | 10.2959i | −0.261658 | − | 1.04005i | ||||
\(99\) | 1.60880 | 0.161690 | ||||||||
\(100\) | −1.25183 | + | 0.829279i | −0.125183 | + | 0.0829279i | ||||
\(101\) | 1.53118 | − | 2.65208i | 0.152358 | − | 0.263892i | −0.779736 | − | 0.626108i | \(-0.784647\pi\) |
0.932094 | + | 0.362217i | \(0.117980\pi\) | |||||||
\(102\) | 28.8820 | − | 3.03562i | 2.85974 | − | 0.300571i | ||||
\(103\) | 1.78729 | + | 8.40853i | 0.176107 | + | 0.828517i | 0.974147 | + | 0.225913i | \(0.0725366\pi\) |
−0.798041 | + | 0.602604i | \(0.794130\pi\) | |||||||
\(104\) | −0.956819 | + | 2.94479i | −0.0938238 | + | 0.288760i | ||||
\(105\) | −3.51196 | − | 16.7784i | −0.342732 | − | 1.63740i | ||||
\(106\) | −3.44006 | − | 10.5874i | −0.334128 | − | 1.02834i | ||||
\(107\) | −13.5997 | + | 7.85178i | −1.31473 | + | 0.759060i | −0.982876 | − | 0.184270i | \(-0.941008\pi\) |
−0.331856 | + | 0.943330i | \(0.607675\pi\) | |||||||
\(108\) | −0.433428 | + | 2.03912i | −0.0417066 | + | 0.196214i | ||||
\(109\) | −12.8122 | + | 5.70436i | −1.22719 | + | 0.546379i | −0.914928 | − | 0.403618i | \(-0.867752\pi\) |
−0.312259 | + | 0.949997i | \(0.601086\pi\) | |||||||
\(110\) | −0.932445 | + | 0.391224i | −0.0889052 | + | 0.0373018i | ||||
\(111\) | −6.47570 | + | 4.70487i | −0.614646 | + | 0.446567i | ||||
\(112\) | 2.69679 | + | 11.6248i | 0.254823 | + | 1.09844i | ||||
\(113\) | 3.13291 | − | 4.31207i | 0.294719 | − | 0.405646i | −0.635821 | − | 0.771837i | \(-0.719338\pi\) |
0.930540 | + | 0.366191i | \(0.119338\pi\) | |||||||
\(114\) | −12.4351 | − | 5.53648i | −1.16466 | − | 0.518539i | ||||
\(115\) | −4.27325 | − | 14.1883i | −0.398483 | − | 1.32306i | ||||
\(116\) | −1.75233 | + | 0.780188i | −0.162700 | + | 0.0724386i | ||||
\(117\) | 4.81621 | + | 4.33653i | 0.445259 | + | 0.400913i | ||||
\(118\) | 18.6709i | 1.71879i | ||||||||
\(119\) | −2.14917 | − | 17.3514i | −0.197014 | − | 1.59060i | ||||
\(120\) | 3.11862 | + | 16.4085i | 0.284690 | + | 1.49788i | ||||
\(121\) | 10.6727 | − | 2.26854i | 0.970242 | − | 0.206231i | ||||
\(122\) | −10.5500 | + | 9.49929i | −0.955154 | + | 0.860025i | ||||
\(123\) | −27.3937 | + | 2.87920i | −2.47001 | + | 0.259608i | ||||
\(124\) | −0.171967 | − | 0.297856i | −0.0154431 | − | 0.0267482i | ||||
\(125\) | 5.97161 | + | 9.45198i | 0.534117 | + | 0.845410i | ||||
\(126\) | 21.2581 | + | 4.10876i | 1.89382 | + | 0.366037i | ||||
\(127\) | −5.51739 | − | 7.59404i | −0.489590 | − | 0.673862i | 0.490723 | − | 0.871316i | \(-0.336733\pi\) |
−0.980312 | + | 0.197454i | \(0.936733\pi\) | |||||||
\(128\) | −2.73939 | − | 12.8878i | −0.242130 | − | 1.13913i | ||||
\(129\) | −3.89497 | − | 4.32580i | −0.342933 | − | 0.380866i | ||||
\(130\) | −3.84599 | − | 1.34222i | −0.337315 | − | 0.117721i | ||||
\(131\) | 4.77072 | − | 5.29843i | 0.416820 | − | 0.462926i | −0.497769 | − | 0.867309i | \(-0.665847\pi\) |
0.914589 | + | 0.404384i | \(0.132514\pi\) | |||||||
\(132\) | − | 0.259456i | − | 0.0225828i | ||||||
\(133\) | −3.19403 | + | 7.54691i | −0.276957 | + | 0.654400i | ||||
\(134\) | −10.1127 | − | 7.34733i | −0.873606 | − | 0.634712i | ||||
\(135\) | 15.1093 | + | 3.55460i | 1.30040 | + | 0.305932i | ||||
\(136\) | 1.78068 | + | 16.9421i | 0.152692 | + | 1.45277i | ||||
\(137\) | 6.36641 | + | 14.2992i | 0.543919 | + | 1.22166i | 0.951261 | + | 0.308386i | \(0.0997888\pi\) |
−0.407343 | + | 0.913275i | \(0.633545\pi\) | |||||||
\(138\) | 28.9625 | + | 3.04408i | 2.46545 | + | 0.259129i | ||||
\(139\) | 5.33788 | − | 3.87820i | 0.452753 | − | 0.328944i | −0.337929 | − | 0.941172i | \(-0.609726\pi\) |
0.790682 | + | 0.612227i | \(0.209726\pi\) | |||||||
\(140\) | −1.73902 | + | 0.364001i | −0.146974 | + | 0.0307637i | ||||
\(141\) | 17.5928 | + | 12.7819i | 1.48158 | + | 1.07643i | ||||
\(142\) | 4.19589 | + | 3.77800i | 0.352111 | + | 0.317042i | ||||
\(143\) | −0.310150 | − | 0.179065i | −0.0259360 | − | 0.0149742i | ||||
\(144\) | −23.8051 | − | 5.05993i | −1.98376 | − | 0.421661i | ||||
\(145\) | 5.52562 | + | 13.1698i | 0.458878 | + | 1.09369i | ||||
\(146\) | 3.91380 | − | 12.0454i | 0.323908 | − | 0.996887i | ||||
\(147\) | 3.47966 | − | 19.9820i | 0.286998 | − | 1.64809i | ||||
\(148\) | 0.487642 | + | 0.671181i | 0.0400839 | + | 0.0551708i | ||||
\(149\) | 5.90514 | + | 10.2280i | 0.483768 | + | 0.837911i | 0.999826 | − | 0.0186424i | \(-0.00593442\pi\) |
−0.516058 | + | 0.856554i | \(0.672601\pi\) | |||||||
\(150\) | −21.6703 | + | 3.63520i | −1.76938 | + | 0.296813i | ||||
\(151\) | 0.789055 | − | 1.36668i | 0.0642124 | − | 0.111219i | −0.832132 | − | 0.554578i | \(-0.812880\pi\) |
0.896344 | + | 0.443359i | \(0.146213\pi\) | |||||||
\(152\) | 3.24768 | − | 7.29442i | 0.263422 | − | 0.591655i | ||||
\(153\) | 33.9112 | + | 11.0184i | 2.74156 | + | 0.890786i | ||||
\(154\) | −1.19625 | + | 0.0221504i | −0.0963969 | + | 0.00178493i | ||||
\(155\) | −2.24490 | + | 1.23217i | −0.180314 | + | 0.0989703i | ||||
\(156\) | 0.699368 | − | 0.776726i | 0.0559942 | − | 0.0621879i | ||||
\(157\) | 10.8421 | + | 6.25969i | 0.865294 | + | 0.499578i | 0.865782 | − | 0.500422i | \(-0.166822\pi\) |
−0.000487578 | 1.00000i | \(0.500155\pi\) | ||||||||
\(158\) | 2.44245 | − | 11.4908i | 0.194311 | − | 0.914161i | ||||
\(159\) | 2.22307 | − | 21.1511i | 0.176301 | − | 1.67739i | ||||
\(160\) | 3.70185 | − | 0.703578i | 0.292657 | − | 0.0556227i | ||||
\(161\) | 1.50954 | − | 17.4676i | 0.118969 | − | 1.37664i | ||||
\(162\) | −3.50024 | + | 4.81767i | −0.275005 | + | 0.378512i | ||||
\(163\) | 0.557776 | + | 0.0586246i | 0.0436884 | + | 0.00459183i | 0.126347 | − | 0.991986i | \(-0.459675\pi\) |
−0.0826591 | + | 0.996578i | \(0.526341\pi\) | |||||||
\(164\) | 0.298417 | + | 2.83925i | 0.0233025 | + | 0.221708i | ||||
\(165\) | −1.93137 | − | 0.0417598i | −0.150357 | − | 0.00325100i | ||||
\(166\) | 0.310435 | − | 2.95360i | 0.0240945 | − | 0.229243i | ||||
\(167\) | −16.7998 | + | 5.45858i | −1.30001 | + | 0.422397i | −0.875583 | − | 0.483067i | \(-0.839523\pi\) |
−0.424422 | + | 0.905465i | \(0.639523\pi\) | |||||||
\(168\) | −3.75025 | + | 19.4033i | −0.289338 | + | 1.49699i | ||||
\(169\) | 3.57141 | + | 10.9917i | 0.274724 | + | 0.845512i | ||||
\(170\) | −22.3341 | + | 1.86028i | −1.71295 | + | 0.142677i | ||||
\(171\) | −11.1829 | − | 12.4199i | −0.855180 | − | 0.949774i | ||||
\(172\) | −0.448353 | + | 0.403699i | −0.0341866 | + | 0.0307817i | ||||
\(173\) | 5.18708 | − | 11.6504i | 0.394366 | − | 0.885761i | −0.601830 | − | 0.798624i | \(-0.705562\pi\) |
0.996196 | − | 0.0871369i | \(-0.0277718\pi\) | |||||||
\(174\) | −28.0690 | −2.12790 | ||||||||
\(175\) | 2.42970 | + | 13.0037i | 0.183668 | + | 0.982988i | ||||
\(176\) | 1.34485 | 0.101372 | ||||||||
\(177\) | −14.5081 | + | 32.5858i | −1.09050 | + | 2.44930i | ||||
\(178\) | −4.68685 | + | 4.22006i | −0.351294 | + | 0.316307i | ||||
\(179\) | 4.72778 | + | 5.25073i | 0.353371 | + | 0.392458i | 0.893455 | − | 0.449153i | \(-0.148274\pi\) |
−0.540084 | + | 0.841611i | \(0.681608\pi\) | |||||||
\(180\) | 0.829778 | − | 3.52707i | 0.0618480 | − | 0.262893i | ||||
\(181\) | −3.42377 | − | 10.5373i | −0.254487 | − | 0.783231i | −0.993930 | − | 0.110012i | \(-0.964911\pi\) |
0.739443 | − | 0.673219i | \(-0.235089\pi\) | |||||||
\(182\) | −3.64090 | − | 3.15821i | −0.269881 | − | 0.234102i | ||||
\(183\) | −25.7941 | + | 8.38101i | −1.90675 | + | 0.619542i | ||||
\(184\) | −1.78565 | + | 16.9893i | −0.131640 | + | 1.25247i | ||||
\(185\) | 5.07472 | − | 3.52195i | 0.373101 | − | 0.258939i | ||||
\(186\) | −0.526078 | − | 5.00530i | −0.0385739 | − | 0.367007i | ||||
\(187\) | −1.95957 | − | 0.205959i | −0.143298 | − | 0.0150612i | ||||
\(188\) | 1.32480 | − | 1.82342i | 0.0966206 | − | 0.132987i | ||||
\(189\) | 15.0554 | + | 10.5181i | 1.09512 | + | 0.765081i | ||||
\(190\) | 9.50178 | + | 4.47903i | 0.689332 | + | 0.324943i | ||||
\(191\) | −0.135216 | + | 1.28650i | −0.00978390 | + | 0.0930876i | −0.998324 | − | 0.0578701i | \(-0.981569\pi\) |
0.988540 | + | 0.150958i | \(0.0482357\pi\) | |||||||
\(192\) | 3.89474 | − | 18.3233i | 0.281079 | − | 1.32237i | ||||
\(193\) | −0.709630 | − | 0.409705i | −0.0510803 | − | 0.0294912i | 0.474242 | − | 0.880394i | \(-0.342722\pi\) |
−0.525323 | + | 0.850903i | \(0.676055\pi\) | |||||||
\(194\) | −4.05584 | + | 4.50446i | −0.291192 | + | 0.323402i | ||||
\(195\) | −5.66934 | − | 5.33106i | −0.405990 | − | 0.381765i | ||||
\(196\) | −2.07106 | − | 0.360653i | −0.147933 | − | 0.0257609i | ||||
\(197\) | 21.3985 | + | 6.95278i | 1.52458 | + | 0.495365i | 0.947072 | − | 0.321021i | \(-0.104026\pi\) |
0.577506 | + | 0.816387i | \(0.304026\pi\) | |||||||
\(198\) | 0.992449 | − | 2.22908i | 0.0705303 | − | 0.158414i | ||||
\(199\) | −0.379861 | + | 0.657939i | −0.0269276 | + | 0.0466400i | −0.879175 | − | 0.476499i | \(-0.841906\pi\) |
0.852248 | + | 0.523139i | \(0.175239\pi\) | |||||||
\(200\) | −2.13240 | − | 12.7118i | −0.150783 | − | 0.898857i | ||||
\(201\) | −11.9403 | − | 20.6812i | −0.842203 | − | 1.45874i | ||||
\(202\) | −2.73004 | − | 3.75757i | −0.192085 | − | 0.264382i | ||||
\(203\) | 0.312851 | + | 16.8958i | 0.0219578 | + | 1.18585i | ||||
\(204\) | 1.77698 | − | 5.46897i | 0.124413 | − | 0.382905i | ||||
\(205\) | 21.1832 | − | 1.76442i | 1.47950 | − | 0.123232i | ||||
\(206\) | 12.7530 | + | 2.71074i | 0.888547 | + | 0.188866i | ||||
\(207\) | 30.9654 | + | 17.8779i | 2.15224 | + | 1.24260i | ||||
\(208\) | 4.02604 | + | 3.62507i | 0.279156 | + | 0.251353i | ||||
\(209\) | 0.747156 | + | 0.542841i | 0.0516819 | + | 0.0375491i | ||||
\(210\) | −25.4139 | − | 5.48440i | −1.75373 | − | 0.378460i | ||||
\(211\) | 8.51968 | − | 6.18991i | 0.586519 | − | 0.426131i | −0.254550 | − | 0.967060i | \(-0.581927\pi\) |
0.841068 | + | 0.540929i | \(0.181927\pi\) | |||||||
\(212\) | −2.19223 | − | 0.230412i | −0.150563 | − | 0.0158248i | ||||
\(213\) | 4.38731 | + | 9.85405i | 0.300613 | + | 0.675189i | ||||
\(214\) | 2.48958 | + | 23.6868i | 0.170184 | + | 1.61920i | ||||
\(215\) | 2.93294 | + | 3.40248i | 0.200025 | + | 0.232047i | ||||
\(216\) | −14.4769 | − | 10.5181i | −0.985029 | − | 0.715665i | ||||
\(217\) | −3.00702 | + | 0.372455i | −0.204130 | + | 0.0252839i | ||||
\(218\) | 21.2710i | 1.44065i | ||||||||
\(219\) | 16.1905 | − | 17.9814i | 1.09405 | − | 1.21507i | ||||
\(220\) | −0.00432824 | + | 0.200179i | −0.000291810 | + | 0.0134961i | ||||
\(221\) | −5.31113 | − | 5.89861i | −0.357266 | − | 0.396784i | ||||
\(222\) | 2.52407 | + | 11.8748i | 0.169405 | + | 0.796987i | ||||
\(223\) | −4.68314 | − | 6.44579i | −0.313606 | − | 0.431642i | 0.622895 | − | 0.782305i | \(-0.285956\pi\) |
−0.936502 | + | 0.350663i | \(0.885956\pi\) | |||||||
\(224\) | 4.37748 | + | 0.846077i | 0.292483 | + | 0.0565309i | ||||
\(225\) | −26.1217 | − | 6.74450i | −1.74145 | − | 0.449633i | ||||
\(226\) | −4.04196 | − | 7.00089i | −0.268867 | − | 0.465692i | ||||
\(227\) | 1.61336 | − | 0.169571i | 0.107083 | − | 0.0112548i | −0.0508356 | − | 0.998707i | \(-0.516188\pi\) |
0.157918 | + | 0.987452i | \(0.449522\pi\) | |||||||
\(228\) | −2.00300 | + | 1.80351i | −0.132652 | + | 0.119440i | ||||
\(229\) | 8.32102 | − | 1.76869i | 0.549869 | − | 0.116878i | 0.0754045 | − | 0.997153i | \(-0.475975\pi\) |
0.474464 | + | 0.880275i | \(0.342642\pi\) | |||||||
\(230\) | −22.2948 | − | 2.83176i | −1.47007 | − | 0.186721i | ||||
\(231\) | −2.10501 | − | 0.890887i | −0.138499 | − | 0.0586161i | ||||
\(232\) | − | 16.4652i | − | 1.08099i | ||||||
\(233\) | −12.2006 | − | 10.9855i | −0.799290 | − | 0.719684i | 0.164491 | − | 0.986379i | \(-0.447402\pi\) |
−0.963781 | + | 0.266695i | \(0.914068\pi\) | |||||||
\(234\) | 8.97958 | − | 3.99797i | 0.587013 | − | 0.261355i | ||||
\(235\) | −13.3602 | − | 10.1552i | −0.871525 | − | 0.662450i | ||||
\(236\) | 3.37739 | + | 1.50371i | 0.219849 | + | 0.0978833i | ||||
\(237\) | 13.1917 | − | 18.1568i | 0.856890 | − | 1.17941i | ||||
\(238\) | −25.3671 | − | 7.72607i | −1.64430 | − | 0.500807i | ||||
\(239\) | −14.8595 | + | 10.7960i | −0.961178 | + | 0.698337i | −0.953424 | − | 0.301633i | \(-0.902468\pi\) |
−0.00775395 | + | 0.999970i | \(0.502468\pi\) | |||||||
\(240\) | 28.4469 | + | 6.69240i | 1.83624 | + | 0.431993i | ||||
\(241\) | 7.73006 | − | 3.44164i | 0.497937 | − | 0.221696i | −0.142372 | − | 0.989813i | \(-0.545473\pi\) |
0.640309 | + | 0.768117i | \(0.278806\pi\) | |||||||
\(242\) | 3.44066 | − | 16.1870i | 0.221174 | − | 1.04054i | ||||
\(243\) | 8.18224 | − | 4.72402i | 0.524891 | − | 0.303046i | ||||
\(244\) | 0.868659 | + | 2.67346i | 0.0556102 | + | 0.171151i | ||||
\(245\) | −3.01802 | + | 15.3588i | −0.192814 | + | 0.981235i | ||||
\(246\) | −12.9096 | + | 39.7317i | −0.823086 | + | 2.53320i | ||||
\(247\) | 0.773505 | + | 3.63906i | 0.0492170 | + | 0.231548i | ||||
\(248\) | 2.93610 | − | 0.308596i | 0.186442 | − | 0.0195959i | ||||
\(249\) | 2.83688 | − | 4.91362i | 0.179780 | − | 0.311388i | ||||
\(250\) | 16.7801 | − | 2.44318i | 1.06126 | − | 0.154520i | ||||
\(251\) | 28.8626 | 1.82179 | 0.910895 | − | 0.412638i | \(-0.135392\pi\) | ||||
0.910895 | + | 0.412638i | \(0.135392\pi\) | |||||||
\(252\) | 2.45532 | − | 3.51450i | 0.154671 | − | 0.221392i | ||||
\(253\) | −1.87915 | − | 0.610572i | −0.118141 | − | 0.0383863i | ||||
\(254\) | −13.9256 | + | 2.95998i | −0.873769 | + | 0.185725i | ||||
\(255\) | −40.4247 | − | 14.1079i | −2.53149 | − | 0.883474i | ||||
\(256\) | −6.89912 | − | 1.46645i | −0.431195 | − | 0.0916533i | ||||
\(257\) | 24.1450 | − | 13.9401i | 1.50612 | − | 0.869560i | 0.506148 | − | 0.862447i | \(-0.331069\pi\) |
0.999975 | − | 0.00711374i | \(-0.00226439\pi\) | |||||||
\(258\) | −8.39641 | + | 2.72816i | −0.522738 | + | 0.169848i | ||||
\(259\) | 7.11980 | − | 1.65169i | 0.442403 | − | 0.102631i | ||||
\(260\) | −0.552544 | + | 0.587605i | −0.0342673 | + | 0.0364417i | ||||
\(261\) | −31.4834 | − | 14.0173i | −1.94877 | − | 0.867649i | ||||
\(262\) | −4.39826 | − | 9.87865i | −0.271725 | − | 0.610305i | ||||
\(263\) | −2.80742 | − | 6.30557i | −0.173113 | − | 0.388818i | 0.806063 | − | 0.591829i | \(-0.201594\pi\) |
−0.979176 | + | 0.203011i | \(0.934927\pi\) | |||||||
\(264\) | 2.03458 | + | 0.905853i | 0.125220 | + | 0.0557514i | ||||
\(265\) | −2.06802 | + | 16.2817i | −0.127037 | + | 1.00018i | ||||
\(266\) | 8.48630 | + | 9.08111i | 0.520329 | + | 0.556799i | ||||
\(267\) | −11.4590 | + | 3.72326i | −0.701281 | + | 0.227860i | ||||
\(268\) | −2.14352 | + | 1.23756i | −0.130937 | + | 0.0755963i | ||||
\(269\) | 17.1166 | + | 3.63825i | 1.04362 | + | 0.221828i | 0.697665 | − | 0.716424i | \(-0.254222\pi\) |
0.345953 | + | 0.938252i | \(0.387556\pi\) | |||||||
\(270\) | 14.2459 | − | 18.7420i | 0.866975 | − | 1.14060i | ||||
\(271\) | −11.5918 | + | 2.46392i | −0.704153 | + | 0.149672i | −0.546053 | − | 0.837751i | \(-0.683870\pi\) |
−0.158100 | + | 0.987423i | \(0.550537\pi\) | |||||||
\(272\) | 28.3476 | + | 9.21069i | 1.71883 | + | 0.558480i | ||||
\(273\) | −3.90030 | − | 8.34110i | −0.236057 | − | 0.504826i | ||||
\(274\) | 23.7397 | 1.43417 | ||||||||
\(275\) | 1.48943 | + | 0.0644383i | 0.0898158 | + | 0.00388578i | ||||
\(276\) | 2.88322 | − | 4.99389i | 0.173550 | − | 0.300597i | ||||
\(277\) | −13.7020 | + | 1.44014i | −0.823274 | + | 0.0865296i | −0.506791 | − | 0.862069i | \(-0.669169\pi\) |
−0.316483 | + | 0.948598i | \(0.602502\pi\) | |||||||
\(278\) | −2.08058 | − | 9.78835i | −0.124785 | − | 0.587066i | ||||
\(279\) | 1.90951 | − | 5.87688i | 0.114320 | − | 0.351839i | ||||
\(280\) | 3.21713 | − | 14.9077i | 0.192260 | − | 0.890907i | ||||
\(281\) | −2.06261 | − | 6.34806i | −0.123045 | − | 0.378694i | 0.870495 | − | 0.492178i | \(-0.163799\pi\) |
−0.993540 | + | 0.113484i | \(0.963799\pi\) | |||||||
\(282\) | 28.5629 | − | 16.4908i | 1.70089 | − | 0.982011i | ||||
\(283\) | −0.760794 | + | 3.57925i | −0.0452245 | + | 0.212765i | −0.994958 | − | 0.100296i | \(-0.968021\pi\) |
0.949733 | + | 0.313061i | \(0.101354\pi\) | |||||||
\(284\) | 1.02133 | − | 0.454727i | 0.0606050 | − | 0.0269831i | ||||
\(285\) | 13.1028 | + | 15.2005i | 0.776144 | + | 0.900399i | ||||
\(286\) | −0.439433 | + | 0.319266i | −0.0259842 | + | 0.0188786i | ||||
\(287\) | 24.0599 | + | 7.32796i | 1.42021 | + | 0.432556i | ||||
\(288\) | −5.34446 | + | 7.35602i | −0.314926 | + | 0.433458i | ||||
\(289\) | −24.3641 | − | 10.8476i | −1.43318 | − | 0.638093i | ||||
\(290\) | 21.6562 | + | 0.468246i | 1.27170 | + | 0.0274964i | ||||
\(291\) | −10.5787 | + | 4.70996i | −0.620136 | + | 0.276102i | ||||
\(292\) | −1.86370 | − | 1.67808i | −0.109065 | − | 0.0982025i | ||||
\(293\) | − | 29.0587i | − | 1.69763i | −0.528693 | − | 0.848813i | \(-0.677318\pi\) | ||
0.528693 | − | 0.848813i | \(-0.322682\pi\) | |||||||
\(294\) | −25.5396 | − | 17.1479i | −1.48950 | − | 1.00009i | ||||
\(295\) | 11.7371 | − | 24.8991i | 0.683362 | − | 1.44968i | ||||
\(296\) | −6.96574 | + | 1.48061i | −0.404875 | + | 0.0860589i | ||||
\(297\) | 1.53810 | − | 1.38491i | 0.0892497 | − | 0.0803608i | ||||
\(298\) | 17.8143 | − | 1.87236i | 1.03195 | − | 0.108463i | ||||
\(299\) | −3.97974 | − | 6.89312i | −0.230155 | − | 0.398639i | ||||
\(300\) | −1.08771 | + | 4.21274i | −0.0627989 | + | 0.243223i | ||||
\(301\) | 1.73577 | + | 5.02372i | 0.100048 | + | 0.289562i | ||||
\(302\) | −1.40686 | − | 1.93637i | −0.0809555 | − | 0.111426i | ||||
\(303\) | −1.84486 | − | 8.67936i | −0.105984 | − | 0.498616i | ||||
\(304\) | −9.34822 | − | 10.3823i | −0.536157 | − | 0.595463i | ||||
\(305\) | 20.0409 | − | 6.03595i | 1.14754 | − | 0.345617i | ||||
\(306\) | 36.1861 | − | 40.1887i | 2.06862 | − | 2.29744i | ||||
\(307\) | 27.1407i | 1.54900i | 0.632571 | + | 0.774502i | \(0.282000\pi\) | ||||
−0.632571 | + | 0.774502i | \(0.718000\pi\) | |||||||
\(308\) | −0.0923370 | + | 0.218176i | −0.00526139 | + | 0.0124317i | ||||
\(309\) | 20.1512 | + | 14.6407i | 1.14636 | + | 0.832881i | ||||
\(310\) | 0.322390 | + | 3.87054i | 0.0183105 | + | 0.219832i | ||||
\(311\) | 2.28225 | + | 21.7142i | 0.129415 | + | 1.23130i | 0.845764 | + | 0.533557i | \(0.179145\pi\) |
−0.716349 | + | 0.697742i | \(0.754188\pi\) | |||||||
\(312\) | 3.64912 | + | 8.19607i | 0.206591 | + | 0.464011i | ||||
\(313\) | −11.1989 | − | 1.17706i | −0.633001 | − | 0.0665311i | −0.217407 | − | 0.976081i | \(-0.569760\pi\) |
−0.415594 | + | 0.909550i | \(0.636426\pi\) | |||||||
\(314\) | 15.3615 | − | 11.1608i | 0.866901 | − | 0.629841i | ||||
\(315\) | −25.7665 | − | 18.8429i | −1.45178 | − | 1.06168i | ||||
\(316\) | −1.88188 | − | 1.36726i | −0.105864 | − | 0.0769146i | ||||
\(317\) | 1.89050 | + | 1.70221i | 0.106181 | + | 0.0956057i | 0.720511 | − | 0.693443i | \(-0.243907\pi\) |
−0.614330 | + | 0.789049i | \(0.710574\pi\) | |||||||
\(318\) | −27.9346 | − | 16.1280i | −1.56649 | − | 0.904416i | ||||
\(319\) | 1.86279 | + | 0.395948i | 0.104296 | + | 0.0221689i | ||||
\(320\) | −3.31060 | + | 14.0721i | −0.185068 | + | 0.786655i | ||||
\(321\) | −14.0608 | + | 43.2745i | −0.784795 | + | 2.41535i | ||||
\(322\) | −23.2711 | − | 12.8671i | −1.29685 | − | 0.717056i | ||||
\(323\) | 12.0312 | + | 16.5595i | 0.669432 | + | 0.921395i | ||||
\(324\) | 0.589571 | + | 1.02117i | 0.0327540 | + | 0.0567315i | ||||
\(325\) | 4.28516 | + | 4.20768i | 0.237698 | + | 0.233400i | ||||
\(326\) | 0.425313 | − | 0.736665i | 0.0235559 | − | 0.0408001i | ||||
\(327\) | −16.5286 | + | 37.1238i | −0.914031 | + | 2.05295i | ||||
\(328\) | −23.3065 | − | 7.57273i | −1.28688 | − | 0.418134i | ||||
\(329\) | −10.2448 | − | 17.0093i | −0.564814 | − | 0.937753i | ||||
\(330\) | −1.24930 | + | 2.65027i | −0.0687719 | + | 0.145892i | ||||
\(331\) | 2.36394 | − | 2.62543i | 0.129934 | − | 0.144306i | −0.674667 | − | 0.738122i | \(-0.735713\pi\) |
0.804601 | + | 0.593816i | \(0.202379\pi\) | |||||||
\(332\) | −0.509277 | − | 0.294031i | −0.0279502 | − | 0.0161371i | ||||
\(333\) | −3.09903 | + | 14.5798i | −0.169826 | + | 0.798968i | ||||
\(334\) | −2.80043 | + | 26.6444i | −0.153233 | + | 1.45791i | ||||
\(335\) | 8.86734 | + | 16.1554i | 0.484475 | + | 0.882666i | ||||
\(336\) | 28.3454 | + | 19.8029i | 1.54637 | + | 1.08034i | ||||
\(337\) | −6.84062 | + | 9.41531i | −0.372633 | + | 0.512885i | −0.953614 | − | 0.301032i | \(-0.902669\pi\) |
0.580981 | + | 0.813917i | \(0.302669\pi\) | |||||||
\(338\) | 17.4327 | + | 1.83225i | 0.948215 | + | 0.0996614i | ||||
\(339\) | −1.61433 | − | 15.3593i | −0.0876781 | − | 0.834202i | ||||
\(340\) | −1.46223 | + | 4.18986i | −0.0793008 | + | 0.227227i | ||||
\(341\) | −0.0356930 | + | 0.339597i | −0.00193289 | + | 0.0183902i | ||||
\(342\) | −24.1071 | + | 7.83287i | −1.30356 | + | 0.423553i | ||||
\(343\) | −10.0374 | + | 15.5644i | −0.541967 | + | 0.840400i | ||||
\(344\) | −1.60033 | − | 4.92531i | −0.0862840 | − | 0.265555i | ||||
\(345\) | −36.7101 | − | 22.2663i | −1.97641 | − | 1.19878i | ||||
\(346\) | −12.9424 | − | 14.3740i | −0.695787 | − | 0.772750i | ||||
\(347\) | −21.8134 | + | 19.6409i | −1.17100 | + | 1.05438i | −0.173424 | + | 0.984847i | \(0.555483\pi\) |
−0.997580 | + | 0.0695298i | \(0.977850\pi\) | |||||||
\(348\) | −2.26062 | + | 5.07743i | −0.121182 | + | 0.272179i | ||||
\(349\) | −10.2072 | −0.546381 | −0.273190 | − | 0.961960i | \(-0.588079\pi\) | ||||
−0.273190 | + | 0.961960i | \(0.588079\pi\) | |||||||
\(350\) | 19.5162 | + | 4.65536i | 1.04319 | + | 0.248839i | ||||
\(351\) | 8.33762 | 0.445029 | ||||||||
\(352\) | 0.204366 | − | 0.459012i | 0.0108927 | − | 0.0244654i | ||||
\(353\) | −17.9649 | + | 16.1757i | −0.956177 | + | 0.860945i | −0.990367 | − | 0.138470i | \(-0.955782\pi\) |
0.0341900 | + | 0.999415i | \(0.489115\pi\) | |||||||
\(354\) | 36.1995 | + | 40.2037i | 1.92398 | + | 2.13680i | ||||
\(355\) | −3.22058 | − | 7.67593i | −0.170930 | − | 0.407396i | ||||
\(356\) | 0.385902 | + | 1.18768i | 0.0204528 | + | 0.0629471i | ||||
\(357\) | −38.2690 | − | 33.1955i | −2.02541 | − | 1.75689i | ||||
\(358\) | 10.1917 | − | 3.31148i | 0.538648 | − | 0.175017i | ||||
\(359\) | 1.10371 | − | 10.5011i | 0.0582518 | − | 0.554228i | −0.926008 | − | 0.377503i | \(-0.876783\pi\) |
0.984260 | − | 0.176726i | \(-0.0565505\pi\) | |||||||
\(360\) | 24.7612 | + | 18.8211i | 1.30503 | + | 0.991961i | ||||
\(361\) | 0.983200 | + | 9.35453i | 0.0517474 | + | 0.492343i | ||||
\(362\) | −16.7121 | − | 1.75651i | −0.878368 | − | 0.0923202i | ||||
\(363\) | 18.5830 | − | 25.5773i | 0.975353 | − | 1.34246i | ||||
\(364\) | −0.864522 | + | 0.404251i | −0.0453133 | + | 0.0211885i | ||||
\(365\) | −12.7915 | + | 13.6032i | −0.669538 | + | 0.712023i | ||||
\(366\) | −4.29974 | + | 40.9093i | −0.224751 | + | 2.13836i | ||||
\(367\) | 3.09703 | − | 14.5704i | 0.161664 | − | 0.760568i | −0.820366 | − | 0.571839i | \(-0.806230\pi\) |
0.982029 | − | 0.188728i | \(-0.0604366\pi\) | |||||||
\(368\) | 25.8851 | + | 14.9448i | 1.34935 | + | 0.779049i | ||||
\(369\) | −34.3215 | + | 38.1178i | −1.78670 | + | 1.98434i | ||||
\(370\) | −1.74932 | − | 9.20395i | −0.0909426 | − | 0.478491i | ||||
\(371\) | −9.39675 | + | 16.9947i | −0.487855 | + | 0.882321i | ||||
\(372\) | −0.947784 | − | 0.307954i | −0.0491403 | − | 0.0159667i | ||||
\(373\) | −3.69394 | + | 8.29672i | −0.191265 | + | 0.429588i | −0.983568 | − | 0.180540i | \(-0.942215\pi\) |
0.792303 | + | 0.610128i | \(0.208882\pi\) | |||||||
\(374\) | −1.49420 | + | 2.58804i | −0.0772634 | + | 0.133824i | ||||
\(375\) | 31.1843 | + | 8.77488i | 1.61035 | + | 0.453133i | ||||
\(376\) | 9.67344 | + | 16.7549i | 0.498869 | + | 0.864067i | ||||
\(377\) | 4.50930 | + | 6.20652i | 0.232241 | + | 0.319652i | ||||
\(378\) | 23.8610 | − | 14.3716i | 1.22728 | − | 0.739195i | ||||
\(379\) | −4.37202 | + | 13.4557i | −0.224576 | + | 0.691173i | 0.773759 | + | 0.633480i | \(0.218374\pi\) |
−0.998334 | + | 0.0576924i | \(0.981626\pi\) | |||||||
\(380\) | 1.57547 | − | 1.35806i | 0.0808200 | − | 0.0696668i | ||||
\(381\) | −26.6040 | − | 5.65486i | −1.36297 | − | 0.289707i | ||||
\(382\) | 1.69910 | + | 0.980975i | 0.0869335 | + | 0.0501911i | ||||
\(383\) | 4.77086 | + | 4.29570i | 0.243780 | + | 0.219500i | 0.781958 | − | 0.623331i | \(-0.214221\pi\) |
−0.538179 | + | 0.842831i | \(0.680888\pi\) | |||||||
\(384\) | −30.8859 | − | 22.4399i | −1.57614 | − | 1.14513i | ||||
\(385\) | 1.60922 | + | 0.722466i | 0.0820136 | + | 0.0368203i | ||||
\(386\) | −1.00543 | + | 0.730489i | −0.0511751 | + | 0.0371809i | ||||
\(387\) | −10.7802 | − | 1.13304i | −0.547987 | − | 0.0575958i | ||||
\(388\) | 0.488169 | + | 1.09644i | 0.0247830 | + | 0.0556636i | ||||
\(389\) | 1.61619 | + | 15.3770i | 0.0819440 | + | 0.779645i | 0.955910 | + | 0.293659i | \(0.0948730\pi\) |
−0.873966 | + | 0.485987i | \(0.838460\pi\) | |||||||
\(390\) | −10.8838 | + | 4.56651i | −0.551124 | + | 0.231234i | ||||
\(391\) | −35.4281 | − | 25.7400i | −1.79168 | − | 1.30173i | ||||
\(392\) | 10.0589 | − | 14.9815i | 0.508053 | − | 0.756678i | ||||
\(393\) | − | 20.6586i | − | 1.04209i | ||||||
\(394\) | 22.8340 | − | 25.3597i | 1.15036 | − | 1.27760i | ||||
\(395\) | −10.4807 | + | 13.7885i | −0.527342 | + | 0.693775i | ||||
\(396\) | −0.323291 | − | 0.359051i | −0.0162460 | − | 0.0180430i | ||||
\(397\) | −4.82019 | − | 22.6772i | −0.241918 | − | 1.13814i | −0.916531 | − | 0.399964i | \(-0.869023\pi\) |
0.674613 | − | 0.738172i | \(-0.264311\pi\) | |||||||
\(398\) | 0.677278 | + | 0.932194i | 0.0339489 | + | 0.0467267i | ||||
\(399\) | 7.75449 | + | 22.4433i | 0.388210 | + | 1.12357i | ||||
\(400\) | −21.8361 | − | 5.63797i | −1.09181 | − | 0.281899i | ||||
\(401\) | −0.524412 | − | 0.908308i | −0.0261879 | − | 0.0453588i | 0.852634 | − | 0.522508i | \(-0.175003\pi\) |
−0.878822 | + | 0.477149i | \(0.841670\pi\) | |||||||
\(402\) | −36.0208 | + | 3.78593i | −1.79655 | + | 0.188825i | ||||
\(403\) | −1.02224 | + | 0.920430i | −0.0509214 | + | 0.0458499i | ||||
\(404\) | −0.899583 | + | 0.191212i | −0.0447559 | + | 0.00951316i | ||||
\(405\) | 7.69640 | − | 4.22437i | 0.382437 | − | 0.209911i | ||||
\(406\) | 23.6031 | + | 9.98938i | 1.17140 | + | 0.495764i | ||||
\(407\) | − | 0.823676i | − | 0.0408281i | ||||||
\(408\) | 36.6821 | + | 33.0287i | 1.81603 | + | 1.63516i | ||||
\(409\) | −5.20370 | + | 2.31684i | −0.257307 | + | 0.114560i | −0.531336 | − | 0.847161i | \(-0.678310\pi\) |
0.274030 | + | 0.961721i | \(0.411643\pi\) | |||||||
\(410\) | 10.6230 | − | 30.4390i | 0.524633 | − | 1.50328i | ||||
\(411\) | 41.4323 | + | 18.4468i | 2.04370 | + | 0.909916i | ||||
\(412\) | 1.51745 | − | 2.08860i | 0.0747596 | − | 0.102898i | ||||
\(413\) | 23.7967 | − | 22.2380i | 1.17096 | − | 1.09426i | ||||
\(414\) | 43.8730 | − | 31.8756i | 2.15624 | − | 1.56660i | ||||
\(415\) | −2.27072 | + | 3.74370i | −0.111465 | + | 0.183771i | ||||
\(416\) | 1.84908 | − | 0.823263i | 0.0906585 | − | 0.0403638i | ||||
\(417\) | 3.97482 | − | 18.7001i | 0.194648 | − | 0.915747i | ||||
\(418\) | 1.21305 | − | 0.700354i | 0.0593321 | − | 0.0342554i | ||||
\(419\) | 6.28785 | + | 19.3520i | 0.307182 | + | 0.945407i | 0.978854 | + | 0.204559i | \(0.0655762\pi\) |
−0.671673 | + | 0.740848i | \(0.734424\pi\) | |||||||
\(420\) | −3.03886 | + | 4.15545i | −0.148281 | + | 0.202765i | ||||
\(421\) | 9.00232 | − | 27.7063i | 0.438746 | − | 1.35032i | −0.450452 | − | 0.892801i | \(-0.648737\pi\) |
0.889198 | − | 0.457522i | \(-0.151263\pi\) | |||||||
\(422\) | −3.32077 | − | 15.6230i | −0.161652 | − | 0.760515i | ||||
\(423\) | 40.2726 | − | 4.23282i | 1.95812 | − | 0.205807i | ||||
\(424\) | 9.46066 | − | 16.3864i | 0.459450 | − | 0.795792i | ||||
\(425\) | 30.9537 | + | 11.5591i | 1.50148 | + | 0.560700i | ||||
\(426\) | 16.3598 | 0.792636 | ||||||||
\(427\) | 24.6729 | + | 2.13222i | 1.19400 | + | 0.103185i | ||||
\(428\) | 4.48524 | + | 1.45734i | 0.216802 | + | 0.0704433i | ||||
\(429\) | −1.01502 | + | 0.215748i | −0.0490054 | + | 0.0104164i | ||||
\(430\) | 6.52363 | − | 1.96480i | 0.314598 | − | 0.0947511i | ||||
\(431\) | −17.9763 | − | 3.82098i | −0.865888 | − | 0.184050i | −0.246507 | − | 0.969141i | \(-0.579283\pi\) |
−0.619381 | + | 0.785091i | \(0.712616\pi\) | |||||||
\(432\) | −27.1148 | + | 15.6547i | −1.30456 | + | 0.753189i | ||||
\(433\) | 12.4459 | − | 4.04392i | 0.598112 | − | 0.194338i | 0.00571375 | − | 0.999984i | \(-0.498181\pi\) |
0.592398 | + | 0.805645i | \(0.298181\pi\) | |||||||
\(434\) | −1.33894 | + | 4.39616i | −0.0642714 | + | 0.211023i | ||||
\(435\) | 37.4322 | + | 17.6451i | 1.79474 | + | 0.846018i | ||||
\(436\) | 3.84773 | + | 1.71312i | 0.184273 | + | 0.0820436i | ||||
\(437\) | 8.34856 | + | 18.7512i | 0.399366 | + | 0.896990i | ||||
\(438\) | −14.9265 | − | 33.5254i | −0.713214 | − | 1.60191i | ||||
\(439\) | −11.2173 | − | 4.99428i | −0.535374 | − | 0.238364i | 0.121197 | − | 0.992629i | \(-0.461327\pi\) |
−0.656570 | + | 0.754265i | \(0.727994\pi\) | |||||||
\(440\) | −1.55464 | − | 0.732838i | −0.0741145 | − | 0.0349367i | ||||
\(441\) | −20.0828 | − | 31.9880i | −0.956326 | − | 1.52324i | ||||
\(442\) | −11.4492 | + | 3.72008i | −0.544585 | + | 0.176946i | ||||
\(443\) | 0.710842 | − | 0.410405i | 0.0337731 | − | 0.0194989i | −0.483018 | − | 0.875610i | \(-0.660460\pi\) |
0.516792 | + | 0.856111i | \(0.327126\pi\) | |||||||
\(444\) | 2.35134 | + | 0.499792i | 0.111589 | + | 0.0237191i | ||||
\(445\) | 8.90315 | − | 2.68147i | 0.422050 | − | 0.127114i | ||||
\(446\) | −11.8200 | + | 2.51241i | −0.559692 | + | 0.118966i | ||||
\(447\) | 32.5458 | + | 10.5748i | 1.53936 | + | 0.500169i | ||||
\(448\) | −9.79611 | + | 14.0219i | −0.462823 | + | 0.662474i | ||||
\(449\) | −31.7045 | −1.49623 | −0.748114 | − | 0.663570i | \(-0.769040\pi\) | ||||
−0.748114 | + | 0.663570i | \(0.769040\pi\) | |||||||
\(450\) | −25.4591 | + | 32.0325i | −1.20015 | + | 1.51003i | ||||
\(451\) | 1.41721 | − | 2.45468i | 0.0667337 | − | 0.115586i | ||||
\(452\) | −1.59193 | + | 0.167319i | −0.0748781 | + | 0.00787000i | ||||
\(453\) | −0.950701 | − | 4.47270i | −0.0446678 | − | 0.210146i | ||||
\(454\) | 0.760315 | − | 2.34001i | 0.0356834 | − | 0.109822i | ||||
\(455\) | 2.87007 | + | 6.50051i | 0.134551 | + | 0.304749i | ||||
\(456\) | −7.14942 | − | 22.0036i | −0.334802 | − | 1.03041i | ||||
\(457\) | −1.22234 | + | 0.705719i | −0.0571787 | + | 0.0330121i | −0.528317 | − | 0.849047i | \(-0.677177\pi\) |
0.471138 | + | 0.882059i | \(0.343843\pi\) | |||||||
\(458\) | 2.68253 | − | 12.6203i | 0.125347 | − | 0.589709i | ||||
\(459\) | 41.9061 | − | 18.6578i | 1.95601 | − | 0.870872i | ||||
\(460\) | −2.30782 | + | 3.80486i | −0.107602 | + | 0.177403i | ||||
\(461\) | −8.04550 | + | 5.84539i | −0.374716 | + | 0.272247i | −0.759164 | − | 0.650900i | \(-0.774392\pi\) |
0.384448 | + | 0.923147i | \(0.374392\pi\) | |||||||
\(462\) | −2.53293 | + | 2.36702i | −0.117843 | + | 0.110124i | ||||
\(463\) | −7.20026 | + | 9.91031i | −0.334624 | + | 0.460571i | −0.942862 | − | 0.333184i | \(-0.891877\pi\) |
0.608237 | + | 0.793755i | \(0.291877\pi\) | |||||||
\(464\) | −26.3181 | − | 11.7176i | −1.22179 | − | 0.543974i | ||||
\(465\) | −2.44493 | + | 7.00568i | −0.113381 | + | 0.324880i | ||||
\(466\) | −22.7475 | + | 10.1278i | −1.05376 | + | 0.469162i | ||||
\(467\) | −26.2816 | − | 23.6640i | −1.21617 | − | 1.09504i | −0.992735 | − | 0.120320i | \(-0.961608\pi\) |
−0.223430 | − | 0.974720i | \(-0.571726\pi\) | |||||||
\(468\) | − | 1.94631i | − | 0.0899684i | ||||||
\(469\) | 2.68038 | + | 21.6401i | 0.123769 | + | 0.999248i | ||||
\(470\) | −22.3123 | + | 12.2467i | −1.02919 | + | 0.564899i | ||||
\(471\) | 35.4826 | − | 7.54205i | 1.63495 | − | 0.347520i | ||||
\(472\) | −23.5833 | + | 21.2345i | −1.08551 | + | 0.977399i | ||||
\(473\) | 0.595710 | − | 0.0626116i | 0.0273908 | − | 0.00287889i | ||||
\(474\) | −17.0194 | − | 29.4785i | −0.781728 | − | 1.35399i | ||||
\(475\) | −9.85571 | − | 11.9463i | −0.452211 | − | 0.548133i | ||||
\(476\) | −3.44059 | + | 3.96644i | −0.157699 | + | 0.181801i | ||||
\(477\) | −23.2785 | − | 32.0401i | −1.06585 | − | 1.46702i | ||||
\(478\) | 5.79186 | + | 27.2486i | 0.264913 | + | 1.24632i | ||||
\(479\) | −14.9312 | − | 16.5827i | −0.682222 | − | 0.757685i | 0.298219 | − | 0.954498i | \(-0.403608\pi\) |
−0.980441 | + | 0.196813i | \(0.936941\pi\) | |||||||
\(480\) | 6.60702 | − | 8.69224i | 0.301568 | − | 0.396745i | ||||
\(481\) | 2.22023 | − | 2.46581i | 0.101234 | − | 0.112431i | ||||
\(482\) | − | 12.8335i | − | 0.584552i | ||||||
\(483\) | −30.6161 | − | 40.5394i | −1.39308 | − | 1.84461i | ||||
\(484\) | −2.65098 | − | 1.92605i | −0.120499 | − | 0.0875479i | ||||
\(485\) | 8.24043 | − | 3.45742i | 0.374179 | − | 0.156993i | ||||
\(486\) | −1.49786 | − | 14.2511i | −0.0679441 | − | 0.646445i | ||||
\(487\) | −4.58024 | − | 10.2874i | −0.207550 | − | 0.466166i | 0.779535 | − | 0.626358i | \(-0.215455\pi\) |
−0.987086 | + | 0.160192i | \(0.948789\pi\) | |||||||
\(488\) | −23.9973 | − | 2.52222i | −1.08631 | − | 0.114175i | ||||
\(489\) | 1.31471 | − | 0.955195i | 0.0594534 | − | 0.0431954i | ||||
\(490\) | 19.4186 | + | 13.6563i | 0.877245 | + | 0.616928i | ||||
\(491\) | 28.1497 | + | 20.4520i | 1.27038 | + | 0.922985i | 0.999218 | − | 0.0395486i | \(-0.0125920\pi\) |
0.271162 | + | 0.962534i | \(0.412592\pi\) | |||||||
\(492\) | 6.14739 | + | 5.53514i | 0.277146 | + | 0.249543i | ||||
\(493\) | 36.5532 | + | 21.1040i | 1.64628 | + | 0.950478i | ||||
\(494\) | 5.51928 | + | 1.17316i | 0.248324 | + | 0.0527830i | ||||
\(495\) | −2.72478 | + | 2.34876i | −0.122470 | + | 0.105569i | ||||
\(496\) | 1.59623 | − | 4.91270i | 0.0716729 | − | 0.220587i | ||||
\(497\) | −0.182343 | − | 9.84762i | −0.00817920 | − | 0.441726i | ||||
\(498\) | −5.05805 | − | 6.96181i | −0.226657 | − | 0.311966i | ||||
\(499\) | 18.7370 | + | 32.4534i | 0.838784 | + | 1.45282i | 0.890912 | + | 0.454176i | \(0.150066\pi\) |
−0.0521285 | + | 0.998640i | \(0.516601\pi\) | |||||||
\(500\) | 0.909482 | − | 3.23213i | 0.0406733 | − | 0.144545i | ||||
\(501\) | −25.5915 | + | 44.3257i | −1.14334 | + | 1.98033i | ||||
\(502\) | 17.8050 | − | 39.9907i | 0.794677 | − | 1.78487i | ||||
\(503\) | −7.49603 | − | 2.43561i | −0.334231 | − | 0.108598i | 0.137093 | − | 0.990558i | \(-0.456224\pi\) |
−0.471325 | + | 0.881960i | \(0.656224\pi\) | |||||||
\(504\) | 18.9873 | + | 31.5243i | 0.845759 | + | 1.40420i | ||||
\(505\) | 1.27858 | + | 6.72721i | 0.0568961 | + | 0.299357i | ||||
\(506\) | −2.00521 | + | 2.22701i | −0.0891423 | + | 0.0990026i | ||||
\(507\) | 29.0012 | + | 16.7438i | 1.28799 | + | 0.743620i | ||||
\(508\) | −0.586105 | + | 2.75741i | −0.0260042 | + | 0.122340i | ||||
\(509\) | 2.82188 | − | 26.8484i | 0.125078 | − | 1.19003i | −0.734348 | − | 0.678773i | \(-0.762512\pi\) |
0.859425 | − | 0.511261i | \(-0.170821\pi\) | |||||||
\(510\) | −44.4849 | + | 47.3076i | −1.96982 | + | 2.09482i | ||||
\(511\) | −20.0139 | + | 9.35850i | −0.885362 | + | 0.413995i | ||||
\(512\) | 9.20115 | − | 12.6643i | 0.406637 | − | 0.559688i | ||||
\(513\) | −21.3830 | − | 2.24745i | −0.944085 | − | 0.0992273i | ||||
\(514\) | −4.42003 | − | 42.0537i | −0.194959 | − | 1.85491i | ||||
\(515\) | −15.3031 | − | 11.6320i | −0.674336 | − | 0.512566i | ||||
\(516\) | −0.182730 | + | 1.73856i | −0.00804422 | + | 0.0765357i | ||||
\(517\) | −2.12819 | + | 0.691491i | −0.0935977 | + | 0.0304117i | ||||
\(518\) | 2.10361 | − | 10.8838i | 0.0924274 | − | 0.478206i | ||||
\(519\) | −11.4188 | − | 35.1434i | −0.501229 | − | 1.54262i | ||||
\(520\) | −2.67870 | − | 6.38443i | −0.117469 | − | 0.279976i | ||||
\(521\) | 16.9031 | + | 18.7727i | 0.740536 | + | 0.822449i | 0.989266 | − | 0.146124i | \(-0.0466799\pi\) |
−0.248730 | + | 0.968573i | \(0.580013\pi\) | |||||||
\(522\) | −38.8435 | + | 34.9748i | −1.70013 | + | 1.53081i | ||||
\(523\) | 4.25741 | − | 9.56231i | 0.186164 | − | 0.418131i | −0.796220 | − | 0.605008i | \(-0.793170\pi\) |
0.982383 | + | 0.186877i | \(0.0598367\pi\) | |||||||
\(524\) | −2.14119 | −0.0935381 | ||||||||
\(525\) | 30.4438 | + | 23.2899i | 1.32868 | + | 1.01646i | ||||
\(526\) | −10.4686 | −0.456452 | ||||||||
\(527\) | −3.07821 | + | 6.91377i | −0.134089 | + | 0.301169i | ||||
\(528\) | 2.89585 | − | 2.60743i | 0.126026 | − | 0.113474i | ||||
\(529\) | −13.9939 | − | 15.5418i | −0.608431 | − | 0.675731i | ||||
\(530\) | 21.2835 | + | 12.9094i | 0.924495 | + | 0.560747i | ||||
\(531\) | 20.5257 | + | 63.1717i | 0.890741 | + | 2.74142i | ||||
\(532\) | 2.32616 | − | 0.803723i | 0.100852 | − | 0.0348458i | ||||
\(533\) | 10.8593 | − | 3.52839i | 0.470367 | − | 0.152832i | ||||
\(534\) | −1.91016 | + | 18.1740i | −0.0826607 | + | 0.786464i | ||||
\(535\) | 11.5703 | − | 33.1533i | 0.500226 | − | 1.43334i | ||||
\(536\) | −2.22082 | − | 21.1297i | −0.0959247 | − | 0.912663i | ||||
\(537\) | 20.3605 | + | 2.13998i | 0.878621 | + | 0.0923468i | ||||
\(538\) | 15.6000 | − | 21.4716i | 0.672566 | − | 0.925707i | ||||
\(539\) | 1.45304 | + | 1.49829i | 0.0625867 | + | 0.0645358i | ||||
\(540\) | −2.24292 | − | 4.08639i | −0.0965200 | − | 0.175850i | ||||
\(541\) | 2.44752 | − | 23.2866i | 0.105227 | − | 1.00117i | −0.806740 | − | 0.590907i | \(-0.798770\pi\) |
0.911967 | − | 0.410263i | \(-0.134563\pi\) | |||||||
\(542\) | −3.73697 | + | 17.5811i | −0.160517 | + | 0.755172i | ||||
\(543\) | −27.8023 | − | 16.0517i | −1.19311 | − | 0.688844i | ||||
\(544\) | 7.45145 | − | 8.27568i | 0.319478 | − | 0.354817i | ||||
\(545\) | 13.3717 | − | 28.3665i | 0.572779 | − | 1.21509i | ||||
\(546\) | −13.9631 | + | 0.258547i | −0.597566 | + | 0.0110648i | ||||
\(547\) | −33.2127 | − | 10.7915i | −1.42007 | − | 0.461409i | −0.504447 | − | 0.863443i | \(-0.668303\pi\) |
−0.915625 | + | 0.402034i | \(0.868303\pi\) | |||||||
\(548\) | 1.91194 | − | 4.29430i | 0.0816742 | − | 0.183443i | ||||
\(549\) | −25.2524 | + | 43.7384i | −1.07775 | + | 1.86671i | ||||
\(550\) | 1.00809 | − | 2.02393i | 0.0429853 | − | 0.0863007i | ||||
\(551\) | −9.89175 | − | 17.1330i | −0.421403 | − | 0.729891i | ||||
\(552\) | 29.0943 | + | 40.0448i | 1.23833 | + | 1.70442i | ||||
\(553\) | −17.5546 | + | 10.5732i | −0.746496 | + | 0.449619i | ||||
\(554\) | −6.45723 | + | 19.8733i | −0.274341 | + | 0.844336i | ||||
\(555\) | 4.09887 | − | 17.4227i | 0.173987 | − | 0.739554i | ||||
\(556\) | −1.93819 | − | 0.411975i | −0.0821976 | − | 0.0174716i | ||||
\(557\) | −20.3983 | − | 11.7770i | −0.864304 | − | 0.499006i | 0.00114721 | − | 0.999999i | \(-0.499635\pi\) |
−0.865451 | + | 0.500993i | \(0.832968\pi\) | |||||||
\(558\) | −6.96478 | − | 6.27112i | −0.294843 | − | 0.265478i | ||||
\(559\) | 1.95213 | + | 1.41831i | 0.0825663 | + | 0.0599879i | ||||
\(560\) | −21.5391 | − | 15.7515i | −0.910195 | − | 0.665622i | ||||
\(561\) | −4.61882 | + | 3.35577i | −0.195007 | + | 0.141681i | ||||
\(562\) | −10.0680 | − | 1.05819i | −0.424693 | − | 0.0446370i | ||||
\(563\) | −0.712014 | − | 1.59921i | −0.0300078 | − | 0.0673986i | 0.897920 | − | 0.440159i | \(-0.145078\pi\) |
−0.927928 | + | 0.372761i | \(0.878411\pi\) | |||||||
\(564\) | −0.682641 | − | 6.49490i | −0.0287444 | − | 0.273485i | ||||
\(565\) | 0.989285 | + | 11.8772i | 0.0416195 | + | 0.499676i | ||||
\(566\) | 4.48993 | + | 3.26213i | 0.188726 | + | 0.137117i | ||||
\(567\) | 10.3093 | − | 1.27693i | 0.432949 | − | 0.0536258i | ||||
\(568\) | 9.59662i | 0.402665i | ||||||||
\(569\) | 5.88851 | − | 6.53985i | 0.246859 | − | 0.274165i | −0.606963 | − | 0.794730i | \(-0.707612\pi\) |
0.853822 | + | 0.520566i | \(0.174279\pi\) | |||||||
\(570\) | 29.1441 | − | 8.77768i | 1.22071 | − | 0.367657i | ||||
\(571\) | 1.04634 | + | 1.16208i | 0.0437882 | + | 0.0486317i | 0.764641 | − | 0.644456i | \(-0.222916\pi\) |
−0.720853 | + | 0.693088i | \(0.756250\pi\) | |||||||
\(572\) | 0.0223615 | + | 0.105202i | 0.000934981 | + | 0.00439874i | ||||
\(573\) | 2.20313 | + | 3.03235i | 0.0920372 | + | 0.126678i | ||||
\(574\) | 24.9956 | − | 28.8159i | 1.04330 | − | 1.20275i | ||||
\(575\) | 27.9517 | + | 17.7916i | 1.16567 | + | 0.741962i | ||||
\(576\) | −17.4417 | − | 30.2099i | −0.726736 | − | 1.25874i | ||||
\(577\) | −14.6098 | + | 1.53555i | −0.608214 | + | 0.0639259i | −0.403629 | − | 0.914923i | \(-0.632251\pi\) |
−0.204585 | + | 0.978849i | \(0.565585\pi\) | |||||||
\(578\) | −30.0599 | + | 27.0660i | −1.25033 | + | 1.12580i | ||||
\(579\) | −2.32238 | + | 0.493637i | −0.0965149 | + | 0.0205149i | ||||
\(580\) | 1.82885 | − | 3.87970i | 0.0759387 | − | 0.161096i | ||||
\(581\) | −4.13421 | + | 3.12224i | −0.171516 | + | 0.129532i | ||||
\(582\) | 17.5629i | 0.728008i | ||||||||
\(583\) | 1.62637 | + | 1.46439i | 0.0673572 | + | 0.0606487i | ||||
\(584\) | 19.6659 | − | 8.75582i | 0.813781 | − | 0.362318i | ||||
\(585\) | −14.4882 | − | 0.313262i | −0.599015 | − | 0.0129518i | ||||
\(586\) | −40.2624 | − | 17.9260i | −1.66323 | − | 0.740516i | ||||
\(587\) | 4.57144 | − | 6.29204i | 0.188683 | − | 0.259700i | −0.704187 | − | 0.710015i | \(-0.748688\pi\) |
0.892870 | + | 0.450315i | \(0.148688\pi\) | |||||||
\(588\) | −5.15882 | + | 3.23883i | −0.212746 | + | 0.133567i | ||||
\(589\) | 2.86979 | − | 2.08503i | 0.118248 | − | 0.0859120i | ||||
\(590\) | −27.2585 | − | 31.6224i | −1.12222 | − | 1.30187i | ||||
\(591\) | 59.5572 | − | 26.5166i | 2.44986 | − | 1.09075i | ||||
\(592\) | −2.59059 | + | 12.1878i | −0.106473 | + | 0.500915i | ||||
\(593\) | −9.65143 | + | 5.57226i | −0.396337 | + | 0.228825i | −0.684902 | − | 0.728635i | \(-0.740155\pi\) |
0.288565 | + | 0.957460i | \(0.406822\pi\) | |||||||
\(594\) | −0.970036 | − | 2.98546i | −0.0398011 | − | 0.122495i | ||||
\(595\) | 28.9721 | + | 26.2499i | 1.18774 | + | 1.07614i | ||||
\(596\) | 1.09603 | − | 3.37324i | 0.0448953 | − | 0.138173i | ||||
\(597\) | 0.457680 | + | 2.15321i | 0.0187316 | + | 0.0881251i | ||||
\(598\) | −12.0059 | + | 1.26187i | −0.490956 | + | 0.0516016i | ||||
\(599\) | 8.65074 | − | 14.9835i | 0.353460 | − | 0.612210i | −0.633393 | − | 0.773830i | \(-0.718338\pi\) |
0.986853 | + | 0.161620i | \(0.0516718\pi\) | |||||||
\(600\) | −29.2375 | − | 23.2377i | −1.19362 | − | 0.948674i | ||||
\(601\) | 5.91240 | 0.241172 | 0.120586 | − | 0.992703i | \(-0.461523\pi\) | ||||
0.120586 | + | 0.992703i | \(0.461523\pi\) | |||||||
\(602\) | 8.03142 | + | 0.694073i | 0.327336 | + | 0.0282883i | ||||
\(603\) | −42.2931 | − | 13.7418i | −1.72231 | − | 0.559611i | ||||
\(604\) | −0.463578 | + | 0.0985365i | −0.0188627 | + | 0.00400939i | ||||
\(605\) | −14.7641 | + | 19.4237i | −0.600246 | + | 0.789688i | ||||
\(606\) | −13.1638 | − | 2.79806i | −0.534744 | − | 0.113663i | ||||
\(607\) | −33.6092 | + | 19.4043i | −1.36415 | + | 0.787595i | −0.990174 | − | 0.139842i | \(-0.955341\pi\) |
−0.373980 | + | 0.927437i | \(0.622007\pi\) | |||||||
\(608\) | −4.96414 | + | 1.61295i | −0.201323 | + | 0.0654137i | ||||
\(609\) | 33.4317 | + | 35.7749i | 1.35472 | + | 1.44967i | ||||
\(610\) | 3.99985 | − | 31.4912i | 0.161949 | − | 1.27504i | ||||
\(611\) | −8.23503 | − | 3.66647i | −0.333154 | − | 0.148329i | ||||
\(612\) | −4.35543 | − | 9.78246i | −0.176058 | − | 0.395432i | ||||
\(613\) | −4.85190 | − | 10.8976i | −0.195967 | − | 0.440148i | 0.788658 | − | 0.614832i | \(-0.210776\pi\) |
−0.984625 | + | 0.174684i | \(0.944110\pi\) | |||||||
\(614\) | 37.6050 | + | 16.7428i | 1.51762 | + | 0.675686i | ||||
\(615\) | 42.1926 | − | 44.8699i | 1.70137 | − | 1.80933i | ||||
\(616\) | −1.38849 | − | 1.48581i | −0.0559438 | − | 0.0598649i | ||||
\(617\) | 24.8966 | − | 8.08939i | 1.00230 | − | 0.325667i | 0.238515 | − | 0.971139i | \(-0.423339\pi\) |
0.763784 | + | 0.645472i | \(0.223339\pi\) | |||||||
\(618\) | 32.7166 | − | 18.8889i | 1.31605 | − | 0.759824i | ||||
\(619\) | −23.8295 | − | 5.06511i | −0.957787 | − | 0.203584i | −0.297605 | − | 0.954689i | \(-0.596188\pi\) |
−0.660182 | + | 0.751105i | \(0.729521\pi\) | |||||||
\(620\) | 0.726111 | + | 0.253408i | 0.0291613 | + | 0.0101771i | ||||
\(621\) | 44.9946 | − | 9.56390i | 1.80557 | − | 0.383786i | ||||
\(622\) | 31.4941 | + | 10.2331i | 1.26280 | + | 0.410308i | ||||
\(623\) | 10.9609 | + | 0.947238i | 0.439140 | + | 0.0379503i | ||||
\(624\) | 15.6976 | 0.628407 | ||||||||
\(625\) | −23.9134 | − | 7.29034i | −0.956536 | − | 0.291614i | ||||
\(626\) | −8.53938 | + | 14.7906i | −0.341302 | + | 0.591153i | ||||
\(627\) | 2.66131 | − | 0.279715i | 0.106283 | − | 0.0111708i | ||||
\(628\) | −0.781705 | − | 3.67763i | −0.0311934 | − | 0.146753i | ||||
\(629\) | 5.64124 | − | 17.3619i | 0.224931 | − | 0.692266i | ||||
\(630\) | −42.0030 | + | 24.0769i | −1.67344 | + | 0.959247i | ||||
\(631\) | 4.79933 | + | 14.7708i | 0.191058 | + | 0.588017i | 1.00000 | 0.000127907i | \(4.07141e-5\pi\) | |
−0.808942 | + | 0.587889i | \(0.799959\pi\) | |||||||
\(632\) | 17.2920 | − | 9.98354i | 0.687839 | − | 0.397124i | ||||
\(633\) | 6.34413 | − | 29.8468i | 0.252157 | − | 1.18630i | ||||
\(634\) | 3.52474 | − | 1.56931i | 0.139985 | − | 0.0623254i | ||||
\(635\) | 20.4316 | + | 4.80673i | 0.810804 | + | 0.190749i | ||||
\(636\) | −5.16722 | + | 3.75420i | −0.204893 | + | 0.148864i | ||||
\(637\) | 0.311260 | + | 8.40206i | 0.0123326 | + | 0.332902i | ||||
\(638\) | 1.69774 | − | 2.33674i | 0.0672143 | − | 0.0925126i | ||||
\(639\) | 18.3499 | + | 8.16989i | 0.725910 | + | 0.323196i | ||||
\(640\) | 23.4552 | + | 17.8284i | 0.927148 | + | 0.704730i | ||||
\(641\) | −26.9427 | + | 11.9957i | −1.06417 | + | 0.473800i | −0.862712 | − | 0.505696i | \(-0.831236\pi\) |
−0.201461 | + | 0.979496i | \(0.564569\pi\) | |||||||
\(642\) | 51.2854 | + | 46.1776i | 2.02407 | + | 1.82248i | ||||
\(643\) | 36.3038i | 1.43168i | 0.698264 | + | 0.715840i | \(0.253956\pi\) | ||||
−0.698264 | + | 0.715840i | \(0.746044\pi\) | |||||||
\(644\) | −4.20175 | + | 3.17324i | −0.165572 | + | 0.125043i | ||||
\(645\) | 12.9123 | + | 1.64005i | 0.508421 | + | 0.0645769i | ||||
\(646\) | 30.3660 | − | 6.45449i | 1.19473 | − | 0.253949i | ||||
\(647\) | 11.9145 | − | 10.7279i | 0.468408 | − | 0.421757i | −0.400828 | − | 0.916153i | \(-0.631278\pi\) |
0.869237 | + | 0.494396i | \(0.164611\pi\) | |||||||
\(648\) | −10.0661 | + | 1.05799i | −0.395434 | + | 0.0415618i | ||||
\(649\) | −1.83525 | − | 3.17875i | −0.0720399 | − | 0.124777i | ||||
\(650\) | 8.47344 | − | 3.34166i | 0.332356 | − | 0.131071i | ||||
\(651\) | −5.75285 | + | 6.63210i | −0.225472 | + | 0.259932i | ||||
\(652\) | −0.0990022 | − | 0.136265i | −0.00387723 | − | 0.00533654i | ||||
\(653\) | 3.79695 | + | 17.8633i | 0.148586 | + | 0.699044i | 0.987862 | + | 0.155337i | \(0.0496463\pi\) |
−0.839275 | + | 0.543707i | \(0.817020\pi\) | |||||||
\(654\) | 41.2407 | + | 45.8025i | 1.61264 | + | 1.79102i | ||||
\(655\) | −0.344627 | + | 15.9388i | −0.0134657 | + | 0.622782i | ||||
\(656\) | −28.6906 | + | 31.8641i | −1.12018 | + | 1.24408i | ||||
\(657\) | − | 45.0576i | − | 1.75786i | ||||||
\(658\) | −29.8873 | + | 3.70189i | −1.16513 | + | 0.144315i | ||||
\(659\) | −3.05262 | − | 2.21786i | −0.118913 | − | 0.0863955i | 0.526739 | − | 0.850027i | \(-0.323414\pi\) |
−0.645652 | + | 0.763632i | \(0.723414\pi\) | |||||||
\(660\) | 0.378793 | + | 0.439435i | 0.0147445 | + | 0.0171050i | ||||
\(661\) | −0.186726 | − | 1.77658i | −0.00726282 | − | 0.0691011i | 0.990290 | − | 0.139016i | \(-0.0443939\pi\) |
−0.997553 | + | 0.0699148i | \(0.977727\pi\) | |||||||
\(662\) | −2.17938 | − | 4.89497i | −0.0847041 | − | 0.190249i | ||||
\(663\) | −22.8728 | − | 2.40402i | −0.888304 | − | 0.0933646i | ||||
\(664\) | 4.08378 | − | 2.96704i | 0.158481 | − | 0.115143i | ||||
\(665\) | −5.60846 | − | 17.4452i | −0.217487 | − | 0.676494i | ||||
\(666\) | 18.2894 | + | 13.2880i | 0.708699 | + | 0.514900i | ||||
\(667\) | 31.4541 | + | 28.3214i | 1.21791 | + | 1.09661i | ||||
\(668\) | 4.59419 | + | 2.65245i | 0.177754 | + | 0.102627i | ||||
\(669\) | −22.5814 | − | 4.79982i | −0.873047 | − | 0.185572i | ||||
\(670\) | 27.8544 | − | 2.32008i | 1.07611 | − | 0.0896326i | ||||
\(671\) | 0.862429 | − | 2.65428i | 0.0332937 | − | 0.102468i | ||||
\(672\) | 11.0664 | − | 6.66533i | 0.426894 | − | 0.257121i | ||||
\(673\) | 16.1740 | + | 22.2615i | 0.623460 | + | 0.858119i | 0.997599 | − | 0.0692535i | \(-0.0220617\pi\) |
−0.374139 | + | 0.927373i | \(0.622062\pi\) | |||||||
\(674\) | 8.82553 | + | 15.2863i | 0.339947 | + | 0.588805i | ||||
\(675\) | −30.7798 | + | 16.0385i | −1.18472 | + | 0.617321i | ||||
\(676\) | 1.73543 | − | 3.00586i | 0.0667474 | − | 0.115610i | ||||
\(677\) | 11.9469 | − | 26.8331i | 0.459156 | − | 1.03128i | −0.524531 | − | 0.851391i | \(-0.675759\pi\) |
0.983687 | − | 0.179889i | \(-0.0575740\pi\) | |||||||
\(678\) | −22.2770 | − | 7.23824i | −0.855543 | − | 0.277983i | ||||
\(679\) | 10.5718 | − | 0.195753i | 0.405710 | − | 0.00751230i | ||||
\(680\) | −27.7505 | − | 26.0947i | −1.06418 | − | 1.00069i | ||||
\(681\) | 3.14526 | − | 3.49316i | 0.120527 | − | 0.133858i | ||||
\(682\) | 0.448512 | + | 0.258948i | 0.0171744 | + | 0.00991564i | ||||
\(683\) | −4.10929 | + | 19.3327i | −0.157238 | + | 0.739746i | 0.826901 | + | 0.562347i | \(0.190101\pi\) |
−0.984139 | + | 0.177399i | \(0.943232\pi\) | |||||||
\(684\) | −0.524639 | + | 4.99160i | −0.0200601 | + | 0.190859i | ||||
\(685\) | −31.6587 | − | 14.9236i | −1.20962 | − | 0.570200i | ||||
\(686\) | 15.3734 | + | 23.5089i | 0.586961 | + | 0.897572i | ||||
\(687\) | 14.4883 | − | 19.9415i | 0.552765 | − | 0.760816i | ||||
\(688\) | −9.01154 | − | 0.947151i | −0.343562 | − | 0.0361098i | ||||
\(689\) | 0.921532 | + | 8.76779i | 0.0351076 | + | 0.334026i | ||||
\(690\) | −53.4973 | + | 37.1281i | −2.03661 | + | 1.41344i | ||||
\(691\) | −3.53308 | + | 33.6150i | −0.134405 | + | 1.27877i | 0.694545 | + | 0.719450i | \(0.255606\pi\) |
−0.828949 | + | 0.559324i | \(0.811061\pi\) | |||||||
\(692\) | −3.64248 | + | 1.18351i | −0.138466 | + | 0.0449904i | ||||
\(693\) | −4.02310 | + | 1.39004i | −0.152825 | + | 0.0528033i | ||||
\(694\) | 13.7571 | + | 42.3399i | 0.522211 | + | 1.60720i | ||||
\(695\) | −3.37867 | + | 14.3615i | −0.128160 | + | 0.544761i | ||||
\(696\) | −31.9231 | − | 35.4542i | −1.21004 | − | 1.34389i | ||||
\(697\) | 46.6845 | − | 42.0349i | 1.76830 | − | 1.59219i | ||||
\(698\) | −6.29674 | + | 14.1427i | −0.238335 | + | 0.535309i | ||||
\(699\) | −47.5704 | −1.79928 | ||||||||
\(700\) | 2.41391 | − | 3.15538i | 0.0912372 | − | 0.119262i | ||||
\(701\) | −39.9977 | −1.51069 | −0.755347 | − | 0.655325i | \(-0.772532\pi\) | ||||
−0.755347 | + | 0.655325i | \(0.772532\pi\) | |||||||
\(702\) | 5.14339 | − | 11.5522i | 0.194125 | − | 0.436011i | ||||
\(703\) | −6.35877 | + | 5.72547i | −0.239826 | + | 0.215940i | ||||
\(704\) | 1.28985 | + | 1.43252i | 0.0486129 | + | 0.0539901i | ||||
\(705\) | −48.4575 | + | 4.03617i | −1.82501 | + | 0.152011i | ||||
\(706\) | 11.3300 | + | 34.8700i | 0.426409 | + | 1.31235i | ||||
\(707\) | −1.53754 | + | 7.95501i | −0.0578251 | + | 0.299179i | ||||
\(708\) | 10.1879 | − | 3.31026i | 0.382885 | − | 0.124407i | ||||
\(709\) | −1.65323 | + | 15.7294i | −0.0620884 | + | 0.590732i | 0.918605 | + | 0.395178i | \(0.129317\pi\) |
−0.980693 | + | 0.195554i | \(0.937350\pi\) | |||||||
\(710\) | −12.6222 | − | 0.272914i | −0.473702 | − | 0.0102423i | ||||
\(711\) | −4.36851 | − | 41.5636i | −0.163832 | − | 1.55876i | ||||
\(712\) | −10.6608 | − | 1.12049i | −0.399530 | − | 0.0419923i | ||||
\(713\) | −4.46079 | + | 6.13976i | −0.167058 | + | 0.229936i | ||||
\(714\) | −69.6021 | + | 32.5459i | −2.60479 | + | 1.21800i | ||||
\(715\) | 0.786720 | − | 0.149525i | 0.0294216 | − | 0.00559191i | ||||
\(716\) | 0.221800 | − | 2.11029i | 0.00828907 | − | 0.0788652i | ||||
\(717\) | −11.0650 | + | 52.0568i | −0.413231 | + | 1.94410i | ||||
\(718\) | −13.8690 | − | 8.00729i | −0.517588 | − | 0.298829i | ||||
\(719\) | 0.704671 | − | 0.782616i | 0.0262798 | − | 0.0291867i | −0.729862 | − | 0.683595i | \(-0.760416\pi\) |
0.756141 | + | 0.654408i | \(0.227082\pi\) | |||||||
\(720\) | 47.7054 | − | 26.1844i | 1.77788 | − | 0.975834i | ||||
\(721\) | −11.7346 | − | 19.4829i | −0.437021 | − | 0.725580i | ||||
\(722\) | 13.5677 | + | 4.40843i | 0.504939 | + | 0.164065i | ||||
\(723\) | 9.97226 | − | 22.3981i | 0.370872 | − | 0.832993i | ||||
\(724\) | −1.66370 | + | 2.88160i | −0.0618307 | + | 0.107094i | ||||
\(725\) | −28.5859 | − | 14.2383i | −1.06165 | − | 0.528795i | ||||
\(726\) | −23.9751 | − | 41.5261i | −0.889799 | − | 1.54118i | ||||
\(727\) | −14.7472 | − | 20.2978i | −0.546944 | − | 0.752804i | 0.442650 | − | 0.896695i | \(-0.354039\pi\) |
−0.989594 | + | 0.143891i | \(0.954039\pi\) | |||||||
\(728\) | −0.151663 | − | 8.19072i | −0.00562101 | − | 0.303568i | ||||
\(729\) | 12.0995 | − | 37.2385i | 0.448131 | − | 1.37921i | ||||
\(730\) | 10.9570 | + | 26.1150i | 0.405538 | + | 0.966560i | ||||
\(731\) | 12.9856 | + | 2.76016i | 0.480288 | + | 0.102088i | ||||
\(732\) | 7.05384 | + | 4.07254i | 0.260718 | + | 0.150525i | ||||
\(733\) | 9.63402 | + | 8.67451i | 0.355841 | + | 0.320400i | 0.827591 | − | 0.561332i | \(-0.189711\pi\) |
−0.471750 | + | 0.881732i | \(0.656378\pi\) | |||||||
\(734\) | −18.2776 | − | 13.2794i | −0.674637 | − | 0.490152i | ||||
\(735\) | 23.2793 | + | 38.9232i | 0.858670 | + | 1.43570i | ||||
\(736\) | 9.03434 | − | 6.56383i | 0.333010 | − | 0.241946i | ||||
\(737\) | 2.44391 | + | 0.256866i | 0.0900227 | + | 0.00946177i | ||||
\(738\) | 31.6419 | + | 71.0688i | 1.16475 | + | 2.61608i | ||||
\(739\) | 3.94087 | + | 37.4949i | 0.144967 | + | 1.37927i | 0.789056 | + | 0.614322i | \(0.210570\pi\) |
−0.644088 | + | 0.764951i | \(0.722763\pi\) | |||||||
\(740\) | −1.80580 | − | 0.424832i | −0.0663825 | − | 0.0156171i | ||||
\(741\) | 8.72107 | + | 6.33623i | 0.320377 | + | 0.232767i | ||||
\(742\) | 17.7503 | + | 23.5036i | 0.651636 | + | 0.862843i | ||||
\(743\) | 15.1585i | 0.556113i | 0.960565 | + | 0.278057i | \(0.0896903\pi\) | ||||
−0.960565 | + | 0.278057i | \(0.910310\pi\) | |||||||
\(744\) | 5.72393 | − | 6.35707i | 0.209850 | − | 0.233062i | ||||
\(745\) | −24.9338 | − | 8.70173i | −0.913504 | − | 0.318807i | ||||
\(746\) | 9.21682 | + | 10.2363i | 0.337452 | + | 0.374778i | ||||
\(747\) | −2.19668 | − | 10.3346i | −0.0803725 | − | 0.378123i | ||||
\(748\) | 0.347813 | + | 0.478723i | 0.0127173 | + | 0.0175038i | ||||
\(749\) | 27.2245 | − | 31.3854i | 0.994761 | − | 1.14680i | ||||
\(750\) | 31.3954 | − | 37.7945i | 1.14640 | − | 1.38006i | ||||
\(751\) | 1.14689 | + | 1.98648i | 0.0418508 | + | 0.0724877i | 0.886192 | − | 0.463318i | \(-0.153341\pi\) |
−0.844341 | + | 0.535806i | \(0.820008\pi\) | |||||||
\(752\) | 33.6653 | − | 3.53837i | 1.22765 | − | 0.129031i | ||||
\(753\) | 62.1494 | − | 55.9595i | 2.26485 | − | 2.03928i | ||||
\(754\) | 11.3812 | − | 2.41915i | 0.414479 | − | 0.0881003i | ||||
\(755\) | 0.658886 | + | 3.46670i | 0.0239793 | + | 0.126166i | ||||
\(756\) | −0.677981 | − | 5.47369i | −0.0246579 | − | 0.199076i | ||||
\(757\) | 46.5833i | 1.69310i | 0.532311 | + | 0.846549i | \(0.321324\pi\) | ||||
−0.532311 | + | 0.846549i | \(0.678676\pi\) | |||||||
\(758\) | 15.9466 | + | 14.3584i | 0.579206 | + | 0.521519i | ||||
\(759\) | −5.23013 | + | 2.32860i | −0.189842 | + | 0.0845230i | ||||
\(760\) | 5.14896 | + | 17.0958i | 0.186772 | + | 0.620131i | ||||
\(761\) | 0.852466 | + | 0.379543i | 0.0309019 | + | 0.0137584i | 0.422129 | − | 0.906536i | \(-0.361283\pi\) |
−0.391228 | + | 0.920294i | \(0.627949\pi\) | |||||||
\(762\) | −24.2469 | + | 33.3730i | −0.878372 | + | 1.20897i | ||||
\(763\) | 27.1107 | − | 25.3349i | 0.981472 | − | 0.917186i | ||||
\(764\) | 0.314292 | − | 0.228346i | 0.0113707 | − | 0.00826128i | ||||
\(765\) | −73.5210 | + | 30.8470i | −2.65816 | + | 1.11528i | ||||
\(766\) | 8.89503 | − | 3.96032i | 0.321390 | − | 0.143092i | ||||
\(767\) | 3.07422 | − | 14.4631i | 0.111004 | − | 0.522231i | ||||
\(768\) | −17.6990 | + | 10.2185i | −0.638656 | + | 0.368728i | ||||
\(769\) | −9.05322 | − | 27.8629i | −0.326467 | − | 1.00476i | −0.970774 | − | 0.239996i | \(-0.922854\pi\) |
0.644307 | − | 0.764767i | \(-0.277146\pi\) | |||||||
\(770\) | 1.99373 | − | 1.78399i | 0.0718491 | − | 0.0642905i | ||||
\(771\) | 24.9636 | − | 76.8299i | 0.899041 | − | 2.76696i | ||||
\(772\) | 0.0511636 | + | 0.240706i | 0.00184142 | + | 0.00866319i | ||||
\(773\) | −45.9166 | + | 4.82603i | −1.65150 | + | 0.173580i | −0.884008 | − | 0.467472i | \(-0.845165\pi\) |
−0.767497 | + | 0.641052i | \(0.778498\pi\) | |||||||
\(774\) | −8.22007 | + | 14.2376i | −0.295464 | + | 0.511759i | ||||
\(775\) | 2.00322 | − | 5.36434i | 0.0719578 | − | 0.192693i | ||||
\(776\) | −10.3024 | −0.369834 | ||||||||
\(777\) | 12.1286 | − | 17.3606i | 0.435111 | − | 0.622808i | ||||
\(778\) | 22.3027 | + | 7.24659i | 0.799591 | + | 0.259803i | ||||
\(779\) | −28.8013 | + | 6.12190i | −1.03191 | + | 0.219340i | ||||
\(780\) | −0.0505208 | + | 2.33657i | −0.00180893 | + | 0.0836625i | ||||
\(781\) | −1.08572 | − | 0.230776i | −0.0388500 | − | 0.00825782i | ||||
\(782\) | −57.5194 | + | 33.2089i | −2.05689 | + | 1.18755i | ||||
\(783\) | −42.1665 | + | 13.7007i | −1.50691 | + | 0.489624i | ||||
\(784\) | −16.7880 | − | 26.7400i | −0.599571 | − | 0.954998i | ||||
\(785\) | −27.5019 | + | 5.22704i | −0.981584 | + | 0.186561i | ||||
\(786\) | −28.6237 | − | 12.7441i | −1.02097 | − | 0.454566i | ||||
\(787\) | −6.24373 | − | 14.0236i | −0.222565 | − | 0.499889i | 0.767406 | − | 0.641162i | \(-0.221547\pi\) |
−0.989971 | + | 0.141273i | \(0.954881\pi\) | |||||||
\(788\) | −2.74834 | − | 6.17288i | −0.0979056 | − | 0.219900i | ||||
\(789\) | −18.2706 | − | 8.13459i | −0.650450 | − | 0.289599i | ||||
\(790\) | 12.6393 | + | 23.0276i | 0.449687 | + | 0.819285i | ||||
\(791\) | −4.10869 | + | 13.4901i | −0.146088 | + | 0.479652i | ||||
\(792\) | 3.94429 | − | 1.28158i | 0.140154 | − | 0.0455389i | ||||
\(793\) | 9.73649 | − | 5.62137i | 0.345753 | − | 0.199621i | ||||
\(794\) | −34.3940 | − | 7.31068i | −1.22060 | − | 0.259446i | ||||
\(795\) | 27.1144 | + | 39.0687i | 0.961647 | + | 1.38562i | ||||
\(796\) | 0.223172 | − | 0.0474367i | 0.00791013 | − | 0.00168135i | ||||
\(797\) | −4.26542 | − | 1.38592i | −0.151089 | − | 0.0490918i | 0.232496 | − | 0.972597i | \(-0.425311\pi\) |
−0.383585 | + | 0.923506i | \(0.625311\pi\) | |||||||
\(798\) | 35.8801 | + | 3.10075i | 1.27014 | + | 0.109765i | ||||
\(799\) | −49.5952 | −1.75455 | ||||||||
\(800\) | −5.24255 | + | 6.59615i | −0.185352 | + | 0.233209i | ||||
\(801\) | −11.2184 | + | 19.4308i | −0.396381 | + | 0.686553i | ||||
\(802\) | −1.58202 | + | 0.166277i | −0.0558629 | + | 0.00587143i | ||||
\(803\) | 0.517673 | + | 2.43546i | 0.0182683 | + | 0.0859456i | ||||
\(804\) | −2.21619 | + | 6.82075i | −0.0781592 | + | 0.240549i | ||||
\(805\) | 22.9451 | + | 31.7883i | 0.808710 | + | 1.12039i | ||||
\(806\) | 0.644698 | + | 1.98418i | 0.0227085 | + | 0.0698896i | ||||
\(807\) | 43.9108 | − | 25.3519i | 1.54573 | − | 0.892430i | ||||
\(808\) | 1.64133 | − | 7.72186i | 0.0577418 | − | 0.271654i | ||||
\(809\) | 28.5118 | − | 12.6943i | 1.00242 | − | 0.446307i | 0.161156 | − | 0.986929i | \(-0.448478\pi\) |
0.841266 | + | 0.540622i | \(0.181811\pi\) | |||||||
\(810\) | −1.10528 | − | 13.2698i | −0.0388356 | − | 0.466252i | ||||
\(811\) | 21.7660 | − | 15.8139i | 0.764308 | − | 0.555302i | −0.135921 | − | 0.990720i | \(-0.543399\pi\) |
0.900229 | + | 0.435418i | \(0.143399\pi\) | |||||||
\(812\) | 3.70793 | − | 3.46507i | 0.130123 | − | 0.121600i | ||||
\(813\) | −20.1834 | + | 27.7800i | −0.707862 | + | 0.974289i | ||||
\(814\) | −1.14125 | − | 0.508117i | −0.0400007 | − | 0.0178095i | ||||
\(815\) | −1.03028 | + | 0.715034i | −0.0360892 | + | 0.0250465i | ||||
\(816\) | 78.8984 | − | 35.1278i | 2.76200 | − | 1.22972i | ||||
\(817\) | −4.62421 | − | 4.16366i | −0.161781 | − | 0.145668i | ||||
\(818\) | 8.63926i | 0.302065i | ||||||||
\(819\) | −15.7907 | − | 6.68300i | −0.551773 | − | 0.233523i | ||||
\(820\) | −4.65059 | − | 4.37310i | −0.162406 | − | 0.152715i | ||||
\(821\) | 13.8680 | − | 2.94774i | 0.483998 | − | 0.102877i | 0.0405509 | − | 0.999177i | \(-0.487089\pi\) |
0.443447 | + | 0.896301i | \(0.353755\pi\) | |||||||
\(822\) | 51.1183 | − | 46.0271i | 1.78295 | − | 1.60538i | ||||
\(823\) | 34.8244 | − | 3.66019i | 1.21390 | − | 0.127586i | 0.524146 | − | 0.851628i | \(-0.324384\pi\) |
0.689756 | + | 0.724042i | \(0.257718\pi\) | |||||||
\(824\) | 11.0802 | + | 19.1915i | 0.385997 | + | 0.668566i | ||||
\(825\) | 3.33209 | − | 2.74898i | 0.116009 | − | 0.0957073i | ||||
\(826\) | −16.1321 | − | 46.6900i | −0.561308 | − | 1.62455i | ||||
\(827\) | 8.81071 | + | 12.1269i | 0.306378 | + | 0.421694i | 0.934248 | − | 0.356625i | \(-0.116073\pi\) |
−0.627869 | + | 0.778319i | \(0.716073\pi\) | |||||||
\(828\) | −2.23257 | − | 10.5034i | −0.0775872 | − | 0.365019i | ||||
\(829\) | 11.4129 | + | 12.6753i | 0.396387 | + | 0.440232i | 0.907991 | − | 0.418989i | \(-0.137615\pi\) |
−0.511605 | + | 0.859221i | \(0.670949\pi\) | |||||||
\(830\) | 3.78633 | + | 5.45566i | 0.131425 | + | 0.189369i | ||||
\(831\) | −26.7121 | + | 29.6668i | −0.926634 | + | 1.02913i | ||||
\(832\) | 7.76529i | 0.269213i | ||||||||
\(833\) | 20.3664 | + | 41.5335i | 0.705655 | + | 1.43905i | ||||
\(834\) | −23.4580 | − | 17.0432i | −0.812283 | − | 0.590158i | ||||
\(835\) | 20.4841 | − | 33.7719i | 0.708883 | − | 1.16872i | ||||
\(836\) | −0.0289914 | − | 0.275835i | −0.00100269 | − | 0.00953994i | ||||
\(837\) | −3.23343 | − | 7.26241i | −0.111764 | − | 0.251026i | ||||
\(838\) | 30.6922 | + | 3.22588i | 1.06024 | + | 0.111436i | ||||
\(839\) | 5.30538 | − | 3.85458i | 0.183162 | − | 0.133075i | −0.492426 | − | 0.870354i | \(-0.663890\pi\) |
0.675588 | + | 0.737279i | \(0.263890\pi\) | |||||||
\(840\) | −21.9761 | − | 38.3380i | −0.758247 | − | 1.32279i | ||||
\(841\) | −9.54254 | − | 6.93306i | −0.329053 | − | 0.239071i | ||||
\(842\) | −32.8352 | − | 29.5649i | −1.13158 | − | 1.01888i | ||||
\(843\) | −16.7492 | − | 9.67014i | −0.576872 | − | 0.333057i | ||||
\(844\) | −3.09351 | − | 0.657545i | −0.106483 | − | 0.0226336i | ||||
\(845\) | −22.0961 | − | 13.4022i | −0.760129 | − | 0.461051i | ||||
\(846\) | 18.9789 | − | 58.4111i | 0.652509 | − | 2.00822i | ||||
\(847\) | −24.7290 | + | 14.8944i | −0.849697 | + | 0.511777i | ||||
\(848\) | −19.4593 | − | 26.7835i | −0.668236 | − | 0.919748i | ||||
\(849\) | 5.30135 | + | 9.18220i | 0.181942 | + | 0.315132i | ||||
\(850\) | 35.1108 | − | 35.7574i | 1.20429 | − | 1.22647i | ||||
\(851\) | 9.15315 | − | 15.8537i | 0.313766 | − | 0.543459i | ||||
\(852\) | 1.31759 | − | 2.95935i | 0.0451398 | − | 0.101386i | ||||
\(853\) | 32.0356 | + | 10.4090i | 1.09688 | + | 0.356398i | 0.800901 | − | 0.598797i | \(-0.204354\pi\) |
0.295979 | + | 0.955195i | \(0.404354\pi\) | |||||||
\(854\) | 18.1747 | − | 32.8703i | 0.621926 | − | 1.12480i | ||||
\(855\) | 37.0727 | + | 4.70878i | 1.26786 | + | 0.161037i | ||||
\(856\) | −27.0876 | + | 30.0838i | −0.925836 | + | 1.02824i | ||||
\(857\) | −12.4752 | − | 7.20257i | −0.426145 | − | 0.246035i | 0.271558 | − | 0.962422i | \(-0.412461\pi\) |
−0.697703 | + | 0.716387i | \(0.745795\pi\) | |||||||
\(858\) | −0.327221 | + | 1.53945i | −0.0111711 | + | 0.0525561i | ||||
\(859\) | −1.32709 | + | 12.6264i | −0.0452796 | + | 0.430807i | 0.948275 | + | 0.317451i | \(0.102827\pi\) |
−0.993554 | + | 0.113356i | \(0.963840\pi\) | |||||||
\(860\) | 0.169985 | − | 1.33831i | 0.00579643 | − | 0.0456359i | ||||
\(861\) | 66.0155 | − | 30.8689i | 2.24980 | − | 1.05201i | ||||
\(862\) | −16.3836 | + | 22.5501i | −0.558027 | + | 0.768058i | ||||
\(863\) | −33.6200 | − | 3.53361i | −1.14444 | − | 0.120285i | −0.486727 | − | 0.873554i | \(-0.661809\pi\) |
−0.657713 | + | 0.753269i | \(0.728476\pi\) | |||||||
\(864\) | 1.22273 | + | 11.6335i | 0.0415981 | + | 0.395780i | ||||
\(865\) | 8.22373 | + | 27.3048i | 0.279615 | + | 0.928393i | ||||
\(866\) | 2.07467 | − | 19.7391i | 0.0705001 | − | 0.670763i | ||||
\(867\) | −73.4944 | + | 23.8798i | −2.49600 | + | 0.811000i | ||||
\(868\) | 0.687392 | + | 0.596261i | 0.0233316 | + | 0.0202384i | ||||
\(869\) | 0.713658 | + | 2.19641i | 0.0242092 | + | 0.0745082i | ||||
\(870\) | 47.5398 | − | 40.9793i | 1.61175 | − | 1.38933i | ||||
\(871\) | 6.62389 | + | 7.35658i | 0.224442 | + | 0.249268i | ||||
\(872\) | −26.8676 | + | 24.1917i | −0.909852 | + | 0.819234i | ||||
\(873\) | −8.77072 | + | 19.6993i | −0.296844 | + | 0.666722i | ||||
\(874\) | 31.1309 | 1.05302 | ||||||||
\(875\) | −23.0999 | − | 18.4768i | −0.780920 | − | 0.624631i | ||||
\(876\) | −7.26659 | −0.245515 | ||||||||
\(877\) | 2.76804 | − | 6.21711i | 0.0934699 | − | 0.209937i | −0.860760 | − | 0.509011i | \(-0.830011\pi\) |
0.954230 | + | 0.299074i | \(0.0966778\pi\) | |||||||
\(878\) | −13.8397 | + | 12.4613i | −0.467067 | + | 0.420549i | ||||
\(879\) | −56.3397 | − | 62.5716i | −1.90029 | − | 2.11049i | ||||
\(880\) | −2.27774 | + | 1.96342i | −0.0767828 | + | 0.0661868i | ||||
\(881\) | −9.86492 | − | 30.3611i | −0.332358 | − | 1.02289i | −0.968009 | − | 0.250915i | \(-0.919268\pi\) |
0.635651 | − | 0.771976i | \(-0.280732\pi\) | |||||||
\(882\) | −56.7101 | + | 8.09284i | −1.90953 | + | 0.272500i | ||||
\(883\) | 28.3455 | − | 9.21002i | 0.953903 | − | 0.309942i | 0.209603 | − | 0.977787i | \(-0.432783\pi\) |
0.744301 | + | 0.667845i | \(0.232783\pi\) | |||||||
\(884\) | −0.249168 | + | 2.37067i | −0.00838042 | + | 0.0797344i | ||||
\(885\) | −23.0016 | − | 76.3710i | −0.773189 | − | 2.56718i | ||||
\(886\) | −0.130128 | − | 1.23809i | −0.00437174 | − | 0.0415943i | ||||
\(887\) | 13.2561 | + | 1.39327i | 0.445095 | + | 0.0467814i | 0.324425 | − | 0.945911i | \(-0.394829\pi\) |
0.120670 | + | 0.992693i | \(0.461496\pi\) | |||||||
\(888\) | −12.1286 | + | 16.6935i | −0.407008 | + | 0.560199i | ||||
\(889\) | 20.3588 | + | 14.2232i | 0.682811 | + | 0.477030i | ||||
\(890\) | 1.77693 | − | 13.9900i | 0.0595629 | − | 0.468945i | ||||
\(891\) | 0.122370 | − | 1.16427i | 0.00409955 | − | 0.0390046i | ||||
\(892\) | −0.497483 | + | 2.34047i | −0.0166570 | + | 0.0783648i | ||||
\(893\) | 20.1316 | + | 11.6230i | 0.673679 | + | 0.388948i | ||||
\(894\) | 34.7291 | − | 38.5705i | 1.16151 | − | 1.28999i | ||||
\(895\) | −15.6731 | − | 1.99072i | −0.523896 | − | 0.0665424i | ||||
\(896\) | 17.9858 | + | 29.8615i | 0.600862 | + | 0.997603i | ||||
\(897\) | −21.9341 | − | 7.12681i | −0.732357 | − | 0.237957i | ||||
\(898\) | −19.5582 | + | 43.9284i | −0.652665 | + | 1.46591i | ||||
\(899\) | 3.65737 | − | 6.33475i | 0.121980 | − | 0.211276i | ||||
\(900\) | 3.74398 | + | 7.18516i | 0.124799 | + | 0.239505i | ||||
\(901\) | 24.2522 | + | 42.0060i | 0.807957 | + | 1.39942i | ||||
\(902\) | −2.52683 | − | 3.47788i | −0.0841343 | − | 0.115801i | ||||
\(903\) | 13.4777 | + | 7.45214i | 0.448511 | + | 0.247992i | ||||
\(904\) | 4.24593 | − | 13.0676i | 0.141217 | − | 0.434623i | ||||
\(905\) | 21.1827 | + | 12.8482i | 0.704137 | + | 0.427090i | ||||
\(906\) | −6.78365 | − | 1.44191i | −0.225372 | − | 0.0479042i | ||||
\(907\) | 28.4092 | + | 16.4021i | 0.943312 | + | 0.544622i | 0.890997 | − | 0.454009i | \(-0.150007\pi\) |
0.0523151 | + | 0.998631i | \(0.483340\pi\) | |||||||
\(908\) | −0.362053 | − | 0.325994i | −0.0120151 | − | 0.0108185i | ||||
\(909\) | −13.3678 | − | 9.71226i | −0.443381 | − | 0.322135i | ||||
\(910\) | 10.7773 | + | 0.0334541i | 0.357265 | + | 0.00110899i | ||||
\(911\) | −14.0742 | + | 10.2255i | −0.466300 | + | 0.338787i | −0.795997 | − | 0.605300i | \(-0.793053\pi\) |
0.329698 | + | 0.944087i | \(0.393053\pi\) | |||||||
\(912\) | −40.2588 | − | 4.23137i | −1.33310 | − | 0.140115i | ||||
\(913\) | 0.237471 | + | 0.533369i | 0.00785915 | + | 0.0176519i | ||||
\(914\) | 0.223764 | + | 2.12897i | 0.00740146 | + | 0.0704202i | ||||
\(915\) | 31.4510 | − | 51.8529i | 1.03974 | − | 1.71420i | ||||
\(916\) | −2.06686 | − | 1.50166i | −0.0682910 | − | 0.0496163i | ||||
\(917\) | −7.35213 | + | 17.3718i | −0.242789 | + | 0.573666i | ||||
\(918\) | − | 69.5731i | − | 2.29625i | ||||||
\(919\) | 0.110059 | − | 0.122233i | 0.00363053 | − | 0.00403211i | −0.741327 | − | 0.671144i | \(-0.765803\pi\) |
0.744957 | + | 0.667112i | \(0.232470\pi\) | |||||||
\(920\) | −21.7792 | − | 31.3813i | −0.718040 | − | 1.03461i | ||||
\(921\) | 52.6212 | + | 58.4417i | 1.73393 | + | 1.92572i | ||||
\(922\) | 3.13594 | + | 14.7534i | 0.103277 | + | 0.485879i | ||||
\(923\) | −2.62822 | − | 3.61743i | −0.0865088 | − | 0.119069i | ||||
\(924\) | 0.224177 | + | 0.648820i | 0.00737488 | + | 0.0213446i | ||||
\(925\) | −3.45307 | + | 13.3739i | −0.113536 | + | 0.439730i | ||||
\(926\) | 9.28952 | + | 16.0899i | 0.305273 | + | 0.528748i | ||||
\(927\) | 46.1292 | − | 4.84838i | 1.51508 | − | 0.159242i | ||||
\(928\) | −7.99866 | + | 7.20203i | −0.262569 | + | 0.236418i | ||||
\(929\) | −50.8083 | + | 10.7996i | −1.66697 | + | 0.354325i | −0.942299 | − | 0.334773i | \(-0.891340\pi\) |
−0.724668 | + | 0.689098i | \(0.758007\pi\) | |||||||
\(930\) | 8.19850 | + | 7.70932i | 0.268839 | + | 0.252799i | ||||
\(931\) | 1.46655 | − | 21.6322i | 0.0480642 | − | 0.708967i | ||||
\(932\) | 4.93049i | 0.161503i | ||||||||
\(933\) | 47.0144 | + | 42.3319i | 1.53918 | + | 1.38589i | ||||
\(934\) | −49.0006 | + | 21.8165i | −1.60335 | + | 0.713857i | ||||
\(935\) | 3.61956 | − | 2.51204i | 0.118372 | − | 0.0821526i | ||||
\(936\) | 15.2624 | + | 6.79527i | 0.498868 | + | 0.222110i | ||||
\(937\) | −34.6594 | + | 47.7045i | −1.13227 | + | 1.55844i | −0.348592 | + | 0.937275i | \(0.613340\pi\) |
−0.783681 | + | 0.621164i | \(0.786660\pi\) | |||||||
\(938\) | 31.6371 | + | 9.63573i | 1.03299 | + | 0.314618i | ||||
\(939\) | −26.3966 | + | 19.1782i | −0.861420 | + | 0.625858i | ||||
\(940\) | 0.418334 | + | 5.02243i | 0.0136445 | + | 0.163814i | ||||
\(941\) | 38.4799 | − | 17.1323i | 1.25441 | − | 0.558499i | 0.331477 | − | 0.943463i | \(-0.392453\pi\) |
0.922931 | + | 0.384965i | \(0.125786\pi\) | |||||||
\(942\) | 11.4389 | − | 53.8157i | 0.372699 | − | 1.75341i | ||||
\(943\) | 54.5555 | − | 31.4976i | 1.77657 | − | 1.02570i | ||||
\(944\) | 17.1582 | + | 52.8075i | 0.558452 | + | 1.71874i | ||||
\(945\) | −40.8549 | + | 4.16585i | −1.32901 | + | 0.135515i | ||||
\(946\) | 0.280735 | − | 0.864014i | 0.00912748 | − | 0.0280915i | ||||
\(947\) | 5.17386 | + | 24.3411i | 0.168128 | + | 0.790980i | 0.978693 | + | 0.205331i | \(0.0658270\pi\) |
−0.810565 | + | 0.585649i | \(0.800840\pi\) | |||||||
\(948\) | −6.70311 | + | 0.704525i | −0.217707 | + | 0.0228819i | ||||
\(949\) | −5.01508 | + | 8.68637i | −0.162796 | + | 0.281971i | ||||
\(950\) | −22.6321 | + | 6.28610i | −0.734283 | + | 0.203948i | ||||
\(951\) | 7.37107 | 0.239023 | ||||||||
\(952\) | −19.0913 | − | 40.8284i | −0.618754 | − | 1.32325i | ||||
\(953\) | −44.6274 | − | 14.5003i | −1.44562 | − | 0.469712i | −0.521978 | − | 0.852959i | \(-0.674806\pi\) |
−0.923646 | + | 0.383247i | \(0.874806\pi\) | |||||||
\(954\) | −58.7536 | + | 12.4885i | −1.90222 | + | 0.404329i | ||||
\(955\) | −1.64921 | − | 2.37632i | −0.0533671 | − | 0.0768959i | ||||
\(956\) | 5.39549 | + | 1.14685i | 0.174502 | + | 0.0370916i | ||||
\(957\) | 4.77879 | − | 2.75904i | 0.154476 | − | 0.0891870i | ||||
\(958\) | −32.1872 | + | 10.4583i | −1.03992 | + | 0.337891i | ||||
\(959\) | −28.2753 | − | 30.2571i | −0.913056 | − | 0.977053i | ||||
\(960\) | 20.1547 | + | 36.7199i | 0.650491 | + | 1.18513i | ||||
\(961\) | −27.1217 | − | 12.0754i | −0.874895 | − | 0.389528i | ||||
\(962\) | −2.04689 | − | 4.59739i | −0.0659943 | − | 0.148226i | ||||
\(963\) | 34.4634 | + | 77.4060i | 1.11057 | + | 2.49437i | ||||
\(964\) | −2.32147 | − | 1.03359i | −0.0747696 | − | 0.0332896i | ||||
\(965\) | 1.80003 | − | 0.342117i | 0.0579451 | − | 0.0110131i | ||||
\(966\) | −75.0564 | + | 17.4120i | −2.41490 | + | 0.560223i | ||||
\(967\) | 57.5816 | − | 18.7094i | 1.85170 | − | 0.601654i | 0.855178 | − | 0.518335i | \(-0.173448\pi\) |
0.996523 | − | 0.0833195i | \(-0.0265522\pi\) | |||||||
\(968\) | 24.3591 | − | 14.0637i | 0.782930 | − | 0.452025i | ||||
\(969\) | 58.0125 | + | 12.3309i | 1.86363 | + | 0.396127i | ||||
\(970\) | 0.292985 | − | 13.5504i | 0.00940717 | − | 0.435078i | ||||
\(971\) | −25.6956 | + | 5.46178i | −0.824612 | + | 0.175277i | −0.600845 | − | 0.799366i | \(-0.705169\pi\) |
−0.223768 | + | 0.974643i | \(0.571836\pi\) | |||||||
\(972\) | −2.69854 | − | 0.876809i | −0.0865557 | − | 0.0281237i | ||||
\(973\) | −9.99753 | + | 14.3102i | −0.320506 | + | 0.458765i | ||||
\(974\) | −17.0792 | −0.547254 | ||||||||
\(975\) | 17.3851 | + | 0.752147i | 0.556769 | + | 0.0240880i | ||||
\(976\) | −21.1094 | + | 36.5625i | −0.675695 | + | 1.17034i | ||||
\(977\) | 4.21689 | − | 0.443213i | 0.134910 | − | 0.0141796i | −0.0368326 | − | 0.999321i | \(-0.511727\pi\) |
0.171743 | + | 0.985142i | \(0.445060\pi\) | |||||||
\(978\) | −0.512443 | − | 2.41086i | −0.0163861 | − | 0.0770907i | ||||
\(979\) | 0.383134 | − | 1.17917i | 0.0122450 | − | 0.0376863i | ||||
\(980\) | 4.03424 | − | 2.41281i | 0.128869 | − | 0.0770744i | ||||
\(981\) | 23.3842 | + | 71.9691i | 0.746600 | + | 2.29780i | ||||
\(982\) | 45.7026 | − | 26.3864i | 1.45843 | − | 0.842025i | ||||
\(983\) | 7.09667 | − | 33.3872i | 0.226349 | − | 1.06489i | −0.707360 | − | 0.706853i | \(-0.750114\pi\) |
0.933709 | − | 0.358034i | \(-0.116553\pi\) | |||||||
\(984\) | −64.8677 | + | 28.8810i | −2.06791 | + | 0.920691i | ||||
\(985\) | −46.3928 | + | 19.4649i | −1.47820 | + | 0.620204i | ||||
\(986\) | 51.7901 | − | 37.6277i | 1.64933 | − | 1.19831i | ||||
\(987\) | −55.0380 | − | 16.7630i | −1.75188 | − | 0.533572i | ||||
\(988\) | 0.656726 | − | 0.903905i | 0.0208932 | − | 0.0287571i | ||||
\(989\) | 12.1617 | + | 5.41475i | 0.386720 | + | 0.172179i | ||||
\(990\) | 1.57345 | + | 5.22427i | 0.0500077 | + | 0.166038i | ||||
\(991\) | 7.10897 | − | 3.16512i | 0.225824 | − | 0.100543i | −0.290706 | − | 0.956812i | \(-0.593890\pi\) |
0.516530 | + | 0.856269i | \(0.327224\pi\) | |||||||
\(992\) | −1.43419 | − | 1.29135i | −0.0455356 | − | 0.0410004i | ||||
\(993\) | − | 10.2366i | − | 0.324848i | ||||||
\(994\) | −13.7569 | − | 5.82225i | −0.436343 | − | 0.184670i | ||||
\(995\) | −0.317196 | − | 1.66891i | −0.0100558 | − | 0.0529081i | ||||
\(996\) | −1.66669 | + | 0.354267i | −0.0528112 | + | 0.0112254i | ||||
\(997\) | 36.5888 | − | 32.9447i | 1.15878 | − | 1.04337i | 0.160366 | − | 0.987058i | \(-0.448733\pi\) |
0.998413 | − | 0.0563118i | \(-0.0179341\pi\) | |||||||
\(998\) | 56.5247 | − | 5.94099i | 1.78926 | − | 0.188059i | ||||
\(999\) | 9.58800 | + | 16.6069i | 0.303351 | + | 0.525419i |
(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 | 175.2.t.a.39.14 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.676.27 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.676.10 | 288 | |||
5.4 | even | 2 | 875.2.u.a.74.5 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.114.5 | yes | 144 | |
25.9 | even | 10 | inner | 175.2.t.a.109.5 | yes | 144 | |
25.12 | odd | 20 | 875.2.q.b.326.10 | 288 | |||
25.13 | odd | 20 | 875.2.q.b.326.27 | 288 | |||
25.16 | even | 5 | 875.2.u.a.424.14 | 144 | |||
35.2 | odd | 12 | 875.2.q.b.51.10 | 288 | |||
35.9 | even | 6 | 875.2.u.a.324.14 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.51.27 | 288 | |||
175.9 | even | 30 | inner | 175.2.t.a.9.14 | ✓ | 144 | |
175.16 | even | 15 | 875.2.u.a.674.5 | 144 | |||
175.37 | odd | 60 | 875.2.q.b.576.27 | 288 | |||
175.163 | odd | 60 | 875.2.q.b.576.10 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.14 | ✓ | 144 | 175.9 | even | 30 | inner | |
175.2.t.a.39.14 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.109.5 | yes | 144 | 25.9 | even | 10 | inner | |
175.2.t.a.114.5 | yes | 144 | 7.2 | even | 3 | inner | |
875.2.q.b.51.10 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.51.27 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.326.10 | 288 | 25.12 | odd | 20 | |||
875.2.q.b.326.27 | 288 | 25.13 | odd | 20 | |||
875.2.q.b.576.10 | 288 | 175.163 | odd | 60 | |||
875.2.q.b.576.27 | 288 | 175.37 | odd | 60 | |||
875.2.q.b.676.10 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.676.27 | 288 | 5.2 | odd | 4 | |||
875.2.u.a.74.5 | 144 | 5.4 | even | 2 | |||
875.2.u.a.324.14 | 144 | 35.9 | even | 6 | |||
875.2.u.a.424.14 | 144 | 25.16 | even | 5 | |||
875.2.u.a.674.5 | 144 | 175.16 | even | 15 |