Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(38,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.f (of order \(6\), degree \(2\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 38.13 | ||
Character | \(\chi\) | \(=\) | 201.38 |
Dual form | 201.2.f.b.164.13 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.451684 | − | 0.782339i | 0.319389 | − | 0.553197i | −0.660972 | − | 0.750411i | \(-0.729856\pi\) |
0.980361 | + | 0.197213i | \(0.0631891\pi\) | |||||||
\(3\) | 1.52537 | − | 0.820518i | 0.880672 | − | 0.473726i | ||||
\(4\) | 0.591964 | + | 1.02531i | 0.295982 | + | 0.512655i | ||||
\(5\) | −1.39831 | −0.625341 | −0.312671 | − | 0.949862i | \(-0.601224\pi\) | ||||
−0.312671 | + | 0.949862i | \(0.601224\pi\) | |||||||
\(6\) | 0.0470610 | − | 1.56397i | 0.0192126 | − | 0.638488i | ||||
\(7\) | −0.0330810 | + | 0.0190993i | −0.0125034 | + | 0.00721886i | −0.506239 | − | 0.862393i | \(-0.668965\pi\) |
0.493735 | + | 0.869612i | \(0.335631\pi\) | |||||||
\(8\) | 2.87626 | 1.01691 | ||||||||
\(9\) | 1.65350 | − | 2.50319i | 0.551167 | − | 0.834395i | ||||
\(10\) | −0.631592 | + | 1.09395i | −0.199727 | + | 0.345937i | ||||
\(11\) | −1.29549 | − | 2.24386i | −0.390606 | − | 0.676550i | 0.601923 | − | 0.798554i | \(-0.294401\pi\) |
−0.992530 | + | 0.122004i | \(0.961068\pi\) | |||||||
\(12\) | 1.74425 | + | 1.07826i | 0.503521 | + | 0.311267i | ||||
\(13\) | 2.41874 | + | 1.39646i | 0.670837 | + | 0.387308i | 0.796394 | − | 0.604778i | \(-0.206738\pi\) |
−0.125556 | + | 0.992086i | \(0.540072\pi\) | |||||||
\(14\) | 0.0345074i | 0.00922248i | ||||||||
\(15\) | −2.13293 | + | 1.14733i | −0.550720 | + | 0.296240i | ||||
\(16\) | 0.115231 | − | 0.199587i | 0.0288078 | − | 0.0498966i | ||||
\(17\) | −3.52178 | − | 2.03330i | −0.854157 | − | 0.493148i | 0.00789456 | − | 0.999969i | \(-0.497487\pi\) |
−0.862051 | + | 0.506821i | \(0.830820\pi\) | |||||||
\(18\) | −1.21148 | − | 2.42425i | −0.285549 | − | 0.571400i | ||||
\(19\) | −3.93032 | + | 6.80752i | −0.901678 | + | 1.56175i | −0.0763630 | + | 0.997080i | \(0.524331\pi\) |
−0.825315 | + | 0.564672i | \(0.809003\pi\) | |||||||
\(20\) | −0.827746 | − | 1.43370i | −0.185090 | − | 0.320584i | ||||
\(21\) | −0.0347893 | + | 0.0562770i | −0.00759166 | + | 0.0122806i | ||||
\(22\) | −2.34061 | −0.499021 | ||||||||
\(23\) | 0.808503 | + | 0.466790i | 0.168585 | + | 0.0973323i | 0.581918 | − | 0.813247i | \(-0.302302\pi\) |
−0.413334 | + | 0.910580i | \(0.635636\pi\) | |||||||
\(24\) | 4.38735 | − | 2.36002i | 0.895564 | − | 0.481737i | ||||
\(25\) | −3.04474 | −0.608949 | ||||||||
\(26\) | 2.18501 | − | 1.26152i | 0.428516 | − | 0.247404i | ||||
\(27\) | 0.468290 | − | 5.17501i | 0.0901224 | − | 0.995931i | ||||
\(28\) | −0.0391654 | − | 0.0226122i | −0.00740157 | − | 0.00427330i | ||||
\(29\) | −7.19016 | + | 4.15124i | −1.33518 | + | 0.770866i | −0.986088 | − | 0.166223i | \(-0.946843\pi\) |
−0.349091 | + | 0.937089i | \(0.613509\pi\) | |||||||
\(30\) | −0.0658056 | + | 2.18691i | −0.0120144 | + | 0.399273i | ||||
\(31\) | 2.33927 | − | 1.35058i | 0.420145 | − | 0.242571i | −0.274994 | − | 0.961446i | \(-0.588676\pi\) |
0.695139 | + | 0.718875i | \(0.255343\pi\) | |||||||
\(32\) | 2.77216 | + | 4.80152i | 0.490053 | + | 0.848797i | ||||
\(33\) | −3.81724 | − | 2.35974i | −0.664495 | − | 0.410778i | ||||
\(34\) | −3.18146 | + | 1.83682i | −0.545616 | + | 0.315011i | ||||
\(35\) | 0.0462573 | − | 0.0267066i | 0.00781891 | − | 0.00451425i | ||||
\(36\) | 3.54536 | + | 0.213558i | 0.590893 | + | 0.0355930i | ||||
\(37\) | 3.92654 | − | 6.80097i | 0.645520 | − | 1.11807i | −0.338661 | − | 0.940908i | \(-0.609974\pi\) |
0.984181 | − | 0.177165i | \(-0.0566926\pi\) | |||||||
\(38\) | 3.55053 | + | 6.14969i | 0.575972 | + | 0.997612i | ||||
\(39\) | 4.83529 | + | 0.145497i | 0.774266 | + | 0.0232982i | ||||
\(40\) | −4.02188 | −0.635916 | ||||||||
\(41\) | 2.99340 | + | 5.18472i | 0.467490 | + | 0.809717i | 0.999310 | − | 0.0371405i | \(-0.0118249\pi\) |
−0.531820 | + | 0.846858i | \(0.678492\pi\) | |||||||
\(42\) | 0.0283139 | + | 0.0526365i | 0.00436893 | + | 0.00812198i | ||||
\(43\) | − | 5.14670i | − | 0.784864i | −0.919781 | − | 0.392432i | \(-0.871634\pi\) | ||
0.919781 | − | 0.392432i | \(-0.128366\pi\) | |||||||
\(44\) | 1.53377 | − | 2.65657i | 0.231225 | − | 0.400493i | ||||
\(45\) | −2.31210 | + | 3.50022i | −0.344667 | + | 0.521781i | ||||
\(46\) | 0.730376 | − | 0.421683i | 0.107688 | − | 0.0621737i | ||||
\(47\) | −2.55852 | + | 1.47716i | −0.373199 | + | 0.215467i | −0.674855 | − | 0.737950i | \(-0.735794\pi\) |
0.301656 | + | 0.953417i | \(0.402461\pi\) | |||||||
\(48\) | 0.0120060 | − | 0.398992i | 0.00173291 | − | 0.0575896i | ||||
\(49\) | −3.49927 | + | 6.06091i | −0.499896 | + | 0.865845i | ||||
\(50\) | −1.37526 | + | 2.38202i | −0.194491 | + | 0.336869i | ||||
\(51\) | −7.04037 | − | 0.211850i | −0.985849 | − | 0.0296649i | ||||
\(52\) | 3.30661i | 0.458545i | ||||||||
\(53\) | 1.55464 | 0.213547 | 0.106773 | − | 0.994283i | \(-0.465948\pi\) | ||||
0.106773 | + | 0.994283i | \(0.465948\pi\) | |||||||
\(54\) | −3.83709 | − | 2.70383i | −0.522162 | − | 0.367944i | ||||
\(55\) | 1.81150 | + | 3.13760i | 0.244262 | + | 0.423074i | ||||
\(56\) | −0.0951493 | + | 0.0549345i | −0.0127149 | + | 0.00734093i | ||||
\(57\) | −0.409501 | + | 13.6089i | −0.0542397 | + | 1.80254i | ||||
\(58\) | 7.50019i | 0.984823i | ||||||||
\(59\) | − | 0.806637i | − | 0.105015i | −0.998621 | − | 0.0525076i | \(-0.983279\pi\) | ||
0.998621 | − | 0.0525076i | \(-0.0167214\pi\) | |||||||
\(60\) | −2.43899 | − | 1.50774i | −0.314872 | − | 0.194648i | ||||
\(61\) | 0.740086 | + | 0.427289i | 0.0947583 | + | 0.0547087i | 0.546630 | − | 0.837374i | \(-0.315910\pi\) |
−0.451872 | + | 0.892083i | \(0.649244\pi\) | |||||||
\(62\) | − | 2.44014i | − | 0.309898i | ||||||
\(63\) | −0.00689030 | + | 0.114388i | −0.000868096 | + | 0.0144116i | ||||
\(64\) | 5.46948 | 0.683686 | ||||||||
\(65\) | −3.38213 | − | 1.95268i | −0.419502 | − | 0.242200i | ||||
\(66\) | −3.57030 | + | 1.92052i | −0.439474 | + | 0.236399i | ||||
\(67\) | −7.49778 | − | 3.28379i | −0.916000 | − | 0.401179i | ||||
\(68\) | − | 4.81456i | − | 0.583851i | ||||||
\(69\) | 1.61627 | + | 0.0486348i | 0.194577 | + | 0.00585495i | ||||
\(70\) | − | 0.0482518i | − | 0.00576720i | ||||||
\(71\) | 3.83615 | − | 2.21480i | 0.455267 | − | 0.262849i | −0.254785 | − | 0.966998i | \(-0.582005\pi\) |
0.710052 | + | 0.704149i | \(0.248671\pi\) | |||||||
\(72\) | 4.75589 | − | 7.19980i | 0.560487 | − | 0.848505i | ||||
\(73\) | 2.27011 | − | 3.93195i | 0.265696 | − | 0.460200i | −0.702049 | − | 0.712128i | \(-0.747731\pi\) |
0.967746 | + | 0.251929i | \(0.0810648\pi\) | |||||||
\(74\) | −3.54711 | − | 6.14378i | −0.412344 | − | 0.714200i | ||||
\(75\) | −4.64436 | + | 2.49827i | −0.536284 | + | 0.288475i | ||||
\(76\) | −9.30643 | −1.06752 | ||||||||
\(77\) | 0.0857124 | + | 0.0494861i | 0.00976783 | + | 0.00563946i | ||||
\(78\) | 2.29785 | − | 3.71712i | 0.260180 | − | 0.420881i | ||||
\(79\) | 12.0321 | − | 6.94676i | 1.35372 | − | 0.781571i | 0.364953 | − | 0.931026i | \(-0.381085\pi\) |
0.988769 | + | 0.149455i | \(0.0477518\pi\) | |||||||
\(80\) | −0.161129 | + | 0.279083i | −0.0180147 | + | 0.0312024i | ||||
\(81\) | −3.53187 | − | 8.27804i | −0.392430 | − | 0.919782i | ||||
\(82\) | 5.40828 | 0.597245 | ||||||||
\(83\) | 10.8858 | + | 6.28490i | 1.19487 | + | 0.689857i | 0.959406 | − | 0.282027i | \(-0.0910067\pi\) |
0.235461 | + | 0.971884i | \(0.424340\pi\) | |||||||
\(84\) | −0.0782954 | − | 0.00235596i | −0.00854273 | − | 0.000257057i | ||||
\(85\) | 4.92452 | + | 2.84317i | 0.534139 | + | 0.308385i | ||||
\(86\) | −4.02647 | − | 2.32468i | −0.434185 | − | 0.250677i | ||||
\(87\) | −7.56148 | + | 12.2318i | −0.810675 | + | 1.31139i | ||||
\(88\) | −3.72617 | − | 6.45392i | −0.397211 | − | 0.687990i | ||||
\(89\) | − | 11.8892i | − | 1.26025i | −0.776492 | − | 0.630127i | \(-0.783003\pi\) | ||
0.776492 | − | 0.630127i | \(-0.216997\pi\) | |||||||
\(90\) | 1.69402 | + | 3.38984i | 0.178565 | + | 0.357320i | ||||
\(91\) | −0.106686 | −0.0111837 | ||||||||
\(92\) | 1.10529i | 0.115234i | ||||||||
\(93\) | 2.46008 | − | 3.97954i | 0.255098 | − | 0.412659i | ||||
\(94\) | 2.66885i | 0.275270i | ||||||||
\(95\) | 5.49579 | − | 9.51899i | 0.563856 | − | 0.976628i | ||||
\(96\) | 8.16830 | + | 5.04949i | 0.833674 | + | 0.515361i | ||||
\(97\) | 1.73224 | + | 1.00011i | 0.175882 | + | 0.101546i | 0.585356 | − | 0.810776i | \(-0.300955\pi\) |
−0.409474 | + | 0.912322i | \(0.634288\pi\) | |||||||
\(98\) | 3.16113 | + | 5.47523i | 0.319322 | + | 0.553082i | ||||
\(99\) | −7.75890 | − | 0.467365i | −0.779799 | − | 0.0469719i | ||||
\(100\) | −1.80238 | − | 3.12181i | −0.180238 | − | 0.312181i | ||||
\(101\) | −2.77358 | − | 4.80399i | −0.275982 | − | 0.478015i | 0.694400 | − | 0.719589i | \(-0.255670\pi\) |
−0.970382 | + | 0.241574i | \(0.922336\pi\) | |||||||
\(102\) | −3.34576 | + | 5.41227i | −0.331279 | + | 0.535894i | ||||
\(103\) | 5.82671 | + | 10.0922i | 0.574123 | + | 0.994410i | 0.996136 | + | 0.0878202i | \(0.0279901\pi\) |
−0.422014 | + | 0.906589i | \(0.638677\pi\) | |||||||
\(104\) | 6.95691 | + | 4.01658i | 0.682181 | + | 0.393858i | ||||
\(105\) | 0.0486461 | − | 0.0786924i | 0.00474737 | − | 0.00767959i | ||||
\(106\) | 0.702207 | − | 1.21626i | 0.0682044 | − | 0.118133i | ||||
\(107\) | 10.3453i | 1.00012i | 0.865991 | + | 0.500059i | \(0.166688\pi\) | ||||
−0.865991 | + | 0.500059i | \(0.833312\pi\) | |||||||
\(108\) | 5.58320 | − | 2.58327i | 0.537244 | − | 0.248576i | ||||
\(109\) | − | 17.2379i | − | 1.65109i | −0.564335 | − | 0.825546i | \(-0.690868\pi\) | ||
0.564335 | − | 0.825546i | \(-0.309132\pi\) | |||||||
\(110\) | 3.27289 | 0.312058 | ||||||||
\(111\) | 0.409107 | − | 13.5958i | 0.0388307 | − | 1.29046i | ||||
\(112\) | 0.00880335i | 0.000831838i | ||||||||
\(113\) | −2.89488 | − | 5.01408i | −0.272328 | − | 0.471685i | 0.697130 | − | 0.716945i | \(-0.254460\pi\) |
−0.969457 | + | 0.245260i | \(0.921127\pi\) | |||||||
\(114\) | 10.4618 | + | 6.46728i | 0.979837 | + | 0.605716i | ||||
\(115\) | −1.13053 | − | 0.652714i | −0.105423 | − | 0.0608659i | ||||
\(116\) | −8.51262 | − | 4.91476i | −0.790377 | − | 0.456324i | ||||
\(117\) | 7.49498 | − | 3.74550i | 0.692911 | − | 0.346272i | ||||
\(118\) | −0.631064 | − | 0.364345i | −0.0580941 | − | 0.0335406i | ||||
\(119\) | 0.155338 | 0.0142398 | ||||||||
\(120\) | −6.13486 | + | 3.30003i | −0.560033 | + | 0.301250i | ||||
\(121\) | 2.14339 | − | 3.71246i | 0.194854 | − | 0.337496i | ||||
\(122\) | 0.668569 | − | 0.385999i | 0.0605294 | − | 0.0349467i | ||||
\(123\) | 8.82019 | + | 5.45247i | 0.795290 | + | 0.491633i | ||||
\(124\) | 2.76952 | + | 1.59899i | 0.248711 | + | 0.143593i | ||||
\(125\) | 11.2490 | 1.00614 | ||||||||
\(126\) | 0.0863784 | + | 0.0570580i | 0.00769520 | + | 0.00508313i | ||||
\(127\) | −0.307606 | − | 0.532789i | −0.0272956 | − | 0.0472774i | 0.852055 | − | 0.523452i | \(-0.175356\pi\) |
−0.879351 | + | 0.476175i | \(0.842023\pi\) | |||||||
\(128\) | −3.07384 | + | 5.32405i | −0.271692 | + | 0.470584i | ||||
\(129\) | −4.22296 | − | 7.85062i | −0.371811 | − | 0.691208i | ||||
\(130\) | −3.05531 | + | 1.76398i | −0.267968 | + | 0.154712i | ||||
\(131\) | 10.6024i | 0.926338i | 0.886270 | + | 0.463169i | \(0.153288\pi\) | ||||
−0.886270 | + | 0.463169i | \(0.846712\pi\) | |||||||
\(132\) | 0.159804 | − | 5.31073i | 0.0139091 | − | 0.462240i | ||||
\(133\) | − | 0.300266i | − | 0.0260363i | ||||||
\(134\) | −5.95567 | + | 4.38257i | −0.514491 | + | 0.378597i | ||||
\(135\) | −0.654812 | + | 7.23624i | −0.0563572 | + | 0.622796i | ||||
\(136\) | −10.1295 | − | 5.84829i | −0.868601 | − | 0.501487i | ||||
\(137\) | −17.0170 | −1.45386 | −0.726930 | − | 0.686712i | \(-0.759053\pi\) | ||||
−0.726930 | + | 0.686712i | \(0.759053\pi\) | |||||||
\(138\) | 0.768094 | − | 1.24251i | 0.0653845 | − | 0.105769i | ||||
\(139\) | − | 0.541223i | − | 0.0459059i | −0.999737 | − | 0.0229530i | \(-0.992693\pi\) | ||
0.999737 | − | 0.0229530i | \(-0.00730680\pi\) | |||||||
\(140\) | 0.0547652 | + | 0.0316187i | 0.00462851 | + | 0.00267227i | ||||
\(141\) | −2.69065 | + | 4.35254i | −0.226594 | + | 0.366550i | ||||
\(142\) | − | 4.00156i | − | 0.335804i | ||||||
\(143\) | − | 7.23642i | − | 0.605140i | ||||||
\(144\) | −0.309067 | − | 0.618462i | −0.0257556 | − | 0.0515385i | ||||
\(145\) | 10.0540 | − | 5.80470i | 0.834942 | − | 0.482054i | ||||
\(146\) | −2.05074 | − | 3.55199i | −0.169721 | − | 0.293965i | ||||
\(147\) | −0.364589 | + | 12.1163i | −0.0300708 | + | 0.999339i | ||||
\(148\) | 9.29748 | 0.764249 | ||||||||
\(149\) | − | 15.1214i | − | 1.23880i | −0.785077 | − | 0.619398i | \(-0.787377\pi\) | ||
0.785077 | − | 0.619398i | \(-0.212623\pi\) | |||||||
\(150\) | −0.143289 | + | 4.76189i | −0.0116995 | + | 0.388807i | ||||
\(151\) | 2.66661 | − | 4.61871i | 0.217006 | − | 0.375865i | −0.736885 | − | 0.676018i | \(-0.763704\pi\) |
0.953891 | + | 0.300153i | \(0.0970376\pi\) | |||||||
\(152\) | −11.3046 | + | 19.5802i | −0.916926 | + | 1.58816i | ||||
\(153\) | −10.9130 | + | 5.45360i | −0.882263 | + | 0.440897i | ||||
\(154\) | 0.0774298 | − | 0.0447041i | 0.00623947 | − | 0.00360236i | ||||
\(155\) | −3.27101 | + | 1.88852i | −0.262734 | + | 0.151690i | ||||
\(156\) | 2.71313 | + | 5.04380i | 0.217225 | + | 0.403827i | ||||
\(157\) | −6.10387 | + | 10.5722i | −0.487142 | + | 0.843755i | −0.999891 | − | 0.0147839i | \(-0.995294\pi\) |
0.512749 | + | 0.858539i | \(0.328627\pi\) | |||||||
\(158\) | − | 12.5510i | − | 0.998500i | ||||||
\(159\) | 2.37140 | − | 1.27561i | 0.188065 | − | 0.101163i | ||||
\(160\) | −3.87633 | − | 6.71399i | −0.306450 | − | 0.530788i | ||||
\(161\) | −0.0356614 | −0.00281051 | ||||||||
\(162\) | −8.07152 | − | 0.975932i | −0.634159 | − | 0.0766765i | ||||
\(163\) | 5.96713 | + | 10.3354i | 0.467381 | + | 0.809528i | 0.999305 | − | 0.0372637i | \(-0.0118642\pi\) |
−0.531924 | + | 0.846792i | \(0.678531\pi\) | |||||||
\(164\) | −3.54397 | + | 6.13833i | −0.276737 | + | 0.479323i | ||||
\(165\) | 5.33766 | + | 3.29964i | 0.415536 | + | 0.256876i | ||||
\(166\) | 9.83384 | − | 5.67757i | 0.763254 | − | 0.440665i | ||||
\(167\) | 13.0289 | − | 7.52226i | 1.00821 | − | 0.582090i | 0.0975425 | − | 0.995231i | \(-0.468902\pi\) |
0.910667 | + | 0.413141i | \(0.135568\pi\) | |||||||
\(168\) | −0.100063 | + | 0.161867i | −0.00772003 | + | 0.0124883i | ||||
\(169\) | −2.59980 | − | 4.50299i | −0.199985 | − | 0.346384i | ||||
\(170\) | 4.44865 | − | 2.56843i | 0.341196 | − | 0.196990i | ||||
\(171\) | 10.5417 | + | 21.0946i | 0.806143 | + | 1.61314i | ||||
\(172\) | 5.27697 | − | 3.04666i | 0.402365 | − | 0.232306i | ||||
\(173\) | 6.84785 | + | 3.95361i | 0.520632 | + | 0.300587i | 0.737193 | − | 0.675682i | \(-0.236151\pi\) |
−0.216561 | + | 0.976269i | \(0.569484\pi\) | |||||||
\(174\) | 6.15404 | + | 11.4406i | 0.466537 | + | 0.867306i | ||||
\(175\) | 0.100723 | − | 0.0581525i | 0.00761394 | − | 0.00439591i | ||||
\(176\) | −0.597126 | −0.0450101 | ||||||||
\(177\) | −0.661860 | − | 1.23042i | −0.0497484 | − | 0.0924839i | ||||
\(178\) | −9.30140 | − | 5.37017i | −0.697169 | − | 0.402511i | ||||
\(179\) | −7.55455 | −0.564654 | −0.282327 | − | 0.959318i | \(-0.591106\pi\) | ||||
−0.282327 | + | 0.959318i | \(0.591106\pi\) | |||||||
\(180\) | −4.95749 | − | 0.298619i | −0.369509 | − | 0.0222577i | ||||
\(181\) | −7.59337 | − | 13.1521i | −0.564410 | − | 0.977588i | −0.997104 | − | 0.0760466i | \(-0.975770\pi\) |
0.432694 | − | 0.901541i | \(-0.357563\pi\) | |||||||
\(182\) | −0.0481881 | + | 0.0834643i | −0.00357194 | + | 0.00618679i | ||||
\(183\) | 1.47950 | + | 0.0445192i | 0.109368 | + | 0.00329096i | ||||
\(184\) | 2.32546 | + | 1.34261i | 0.171435 | + | 0.0989783i | ||||
\(185\) | −5.49051 | + | 9.50984i | −0.403670 | + | 0.699177i | ||||
\(186\) | −2.00218 | − | 3.72211i | −0.146807 | − | 0.272918i | ||||
\(187\) | 10.5365i | 0.770506i | ||||||||
\(188\) | −3.02911 | − | 1.74886i | −0.220920 | − | 0.127548i | ||||
\(189\) | 0.0833475 | + | 0.180138i | 0.00606264 | + | 0.0131031i | ||||
\(190\) | −4.96472 | − | 8.59915i | −0.360179 | − | 0.623848i | ||||
\(191\) | −8.84424 | + | 15.3187i | −0.639946 | + | 1.10842i | 0.345498 | + | 0.938420i | \(0.387710\pi\) |
−0.985444 | + | 0.170000i | \(0.945623\pi\) | |||||||
\(192\) | 8.34298 | − | 4.48781i | 0.602103 | − | 0.323880i | ||||
\(193\) | −8.30001 | −0.597447 | −0.298724 | − | 0.954340i | \(-0.596561\pi\) | ||||
−0.298724 | + | 0.954340i | \(0.596561\pi\) | |||||||
\(194\) | 1.56485 | − | 0.903465i | 0.112350 | − | 0.0648650i | ||||
\(195\) | −6.76121 | − | 0.203449i | −0.484180 | − | 0.0145693i | ||||
\(196\) | −8.28576 | −0.591840 | ||||||||
\(197\) | 13.6596 | + | 23.6591i | 0.973204 | + | 1.68564i | 0.685738 | + | 0.727849i | \(0.259480\pi\) |
0.287467 | + | 0.957791i | \(0.407187\pi\) | |||||||
\(198\) | −3.87021 | + | 5.85899i | −0.275044 | + | 0.416380i | ||||
\(199\) | 0.876101 | − | 1.51745i | 0.0621051 | − | 0.107569i | −0.833301 | − | 0.552819i | \(-0.813552\pi\) |
0.895406 | + | 0.445250i | \(0.146885\pi\) | |||||||
\(200\) | −8.75746 | −0.619246 | ||||||||
\(201\) | −14.1313 | + | 1.14307i | −0.996744 | + | 0.0806258i | ||||
\(202\) | −5.01113 | −0.352582 | ||||||||
\(203\) | 0.158572 | − | 0.274654i | 0.0111295 | − | 0.0192769i | ||||
\(204\) | −3.95043 | − | 7.34397i | −0.276585 | − | 0.514181i | ||||
\(205\) | −4.18569 | − | 7.24982i | −0.292341 | − | 0.506349i | ||||
\(206\) | 10.5273 | 0.733473 | ||||||||
\(207\) | 2.50532 | − | 1.25200i | 0.174132 | − | 0.0870198i | ||||
\(208\) | 0.557429 | − | 0.321832i | 0.0386507 | − | 0.0223150i | ||||
\(209\) | 20.3668 | 1.40880 | ||||||||
\(210\) | −0.0395915 | − | 0.0736019i | −0.00273207 | − | 0.00507901i | ||||
\(211\) | −12.8164 | + | 22.1987i | −0.882318 | + | 1.52822i | −0.0335613 | + | 0.999437i | \(0.510685\pi\) |
−0.848757 | + | 0.528783i | \(0.822648\pi\) | |||||||
\(212\) | 0.920292 | + | 1.59399i | 0.0632059 | + | 0.109476i | ||||
\(213\) | 4.03426 | − | 6.52602i | 0.276423 | − | 0.447156i | ||||
\(214\) | 8.09354 | + | 4.67281i | 0.553263 | + | 0.319426i | ||||
\(215\) | 7.19666i | 0.490808i | ||||||||
\(216\) | 1.34692 | − | 14.8846i | 0.0916464 | − | 1.01277i | ||||
\(217\) | −0.0515902 | + | 0.0893568i | −0.00350217 | + | 0.00606594i | ||||
\(218\) | −13.4859 | − | 7.78608i | −0.913379 | − | 0.527340i | ||||
\(219\) | 0.236523 | − | 7.86034i | 0.0159827 | − | 0.531152i | ||||
\(220\) | −2.14468 | + | 3.71469i | −0.144594 | + | 0.250445i | ||||
\(221\) | −5.67884 | − | 9.83604i | −0.382000 | − | 0.661644i | ||||
\(222\) | −10.4517 | − | 6.46106i | −0.701475 | − | 0.433638i | ||||
\(223\) | 21.5117 | 1.44053 | 0.720265 | − | 0.693699i | \(-0.244020\pi\) | ||||
0.720265 | + | 0.693699i | \(0.244020\pi\) | |||||||
\(224\) | −0.183411 | − | 0.105893i | −0.0122547 | − | 0.00707525i | ||||
\(225\) | −5.03448 | + | 7.62156i | −0.335632 | + | 0.508104i | ||||
\(226\) | −5.23029 | −0.347913 | ||||||||
\(227\) | −4.51735 | + | 2.60809i | −0.299827 | + | 0.173105i | −0.642365 | − | 0.766399i | \(-0.722047\pi\) |
0.342538 | + | 0.939504i | \(0.388713\pi\) | |||||||
\(228\) | −14.1957 | + | 7.63610i | −0.940136 | + | 0.505713i | ||||
\(229\) | 1.37057 | + | 0.791301i | 0.0905701 | + | 0.0522907i | 0.544601 | − | 0.838695i | \(-0.316681\pi\) |
−0.454031 | + | 0.890986i | \(0.650014\pi\) | |||||||
\(230\) | −1.02129 | + | 0.589641i | −0.0673417 | + | 0.0388798i | ||||
\(231\) | 0.171347 | + | 0.00515596i | 0.0112738 | + | 0.000339237i | ||||
\(232\) | −20.6807 | + | 11.9400i | −1.35776 | + | 0.783901i | ||||
\(233\) | −5.89366 | − | 10.2081i | −0.386106 | − | 0.668756i | 0.605816 | − | 0.795605i | \(-0.292847\pi\) |
−0.991922 | + | 0.126849i | \(0.959514\pi\) | |||||||
\(234\) | 0.455107 | − | 7.55540i | 0.0297513 | − | 0.493912i | ||||
\(235\) | 3.57760 | − | 2.06553i | 0.233377 | − | 0.134740i | ||||
\(236\) | 0.827053 | − | 0.477499i | 0.0538366 | − | 0.0310826i | ||||
\(237\) | 12.6535 | − | 20.4690i | 0.821934 | − | 1.32960i | ||||
\(238\) | 0.0701638 | − | 0.121527i | 0.00454805 | − | 0.00787745i | ||||
\(239\) | 8.14101 | + | 14.1006i | 0.526598 | + | 0.912095i | 0.999520 | + | 0.0309905i | \(0.00986617\pi\) |
−0.472921 | + | 0.881105i | \(0.656801\pi\) | |||||||
\(240\) | −0.0167880 | + | 0.557913i | −0.00108366 | + | 0.0360131i | ||||
\(241\) | 27.0524 | 1.74260 | 0.871299 | − | 0.490752i | \(-0.163278\pi\) | ||||
0.871299 | + | 0.490752i | \(0.163278\pi\) | |||||||
\(242\) | −1.93627 | − | 3.35372i | −0.124468 | − | 0.215585i | ||||
\(243\) | −12.1797 | − | 9.72909i | −0.781327 | − | 0.624122i | ||||
\(244\) | 1.01176i | 0.0647711i | ||||||||
\(245\) | 4.89305 | − | 8.47501i | 0.312605 | − | 0.541448i | ||||
\(246\) | 8.24962 | − | 4.43759i | 0.525977 | − | 0.282930i | ||||
\(247\) | −19.0129 | + | 10.9771i | −1.20976 | + | 0.698455i | ||||
\(248\) | 6.72834 | − | 3.88461i | 0.427250 | − | 0.246673i | ||||
\(249\) | 21.7617 | + | 0.654824i | 1.37909 | + | 0.0414978i | ||||
\(250\) | 5.08099 | − | 8.80054i | 0.321350 | − | 0.556595i | ||||
\(251\) | −13.6659 | + | 23.6700i | −0.862583 | + | 1.49404i | 0.00684431 | + | 0.999977i | \(0.497821\pi\) |
−0.869427 | + | 0.494061i | \(0.835512\pi\) | |||||||
\(252\) | −0.121363 | + | 0.0606491i | −0.00764512 | + | 0.00382053i | ||||
\(253\) | − | 2.41889i | − | 0.152074i | ||||||
\(254\) | −0.555763 | −0.0348716 | ||||||||
\(255\) | 9.84458 | + | 0.296230i | 0.616492 | + | 0.0185507i | ||||
\(256\) | 8.24629 | + | 14.2830i | 0.515393 | + | 0.892688i | ||||
\(257\) | −2.05183 | + | 1.18462i | −0.127989 | + | 0.0738947i | −0.562628 | − | 0.826710i | \(-0.690210\pi\) |
0.434638 | + | 0.900605i | \(0.356876\pi\) | |||||||
\(258\) | −8.04929 | − | 0.242209i | −0.501127 | − | 0.0150793i | ||||
\(259\) | 0.299977i | 0.0186397i | ||||||||
\(260\) | − | 4.62365i | − | 0.286747i | ||||||
\(261\) | −1.49761 | + | 24.8624i | −0.0926996 | + | 1.53894i | ||||
\(262\) | 8.29469 | + | 4.78894i | 0.512448 | + | 0.295862i | ||||
\(263\) | − | 26.7804i | − | 1.65135i | −0.564147 | − | 0.825674i | \(-0.690795\pi\) | ||
0.564147 | − | 0.825674i | \(-0.309205\pi\) | |||||||
\(264\) | −10.9793 | − | 6.78722i | −0.675732 | − | 0.417724i | ||||
\(265\) | −2.17387 | −0.133539 | ||||||||
\(266\) | −0.234910 | − | 0.135625i | −0.0144032 | − | 0.00831571i | ||||
\(267\) | −9.75532 | − | 18.1354i | −0.597016 | − | 1.10987i | ||||
\(268\) | −1.07150 | − | 9.63144i | −0.0654525 | − | 0.588334i | ||||
\(269\) | − | 18.4851i | − | 1.12706i | −0.826096 | − | 0.563530i | \(-0.809443\pi\) | ||
0.826096 | − | 0.563530i | \(-0.190557\pi\) | |||||||
\(270\) | 5.36543 | + | 3.78078i | 0.326529 | + | 0.230091i | ||||
\(271\) | 8.92137i | 0.541935i | 0.962589 | + | 0.270967i | \(0.0873435\pi\) | ||||
−0.962589 | + | 0.270967i | \(0.912656\pi\) | |||||||
\(272\) | −0.811638 | + | 0.468600i | −0.0492128 | + | 0.0284130i | ||||
\(273\) | −0.162735 | + | 0.0875374i | −0.00984916 | + | 0.00529801i | ||||
\(274\) | −7.68630 | + | 13.3131i | −0.464346 | + | 0.804271i | ||||
\(275\) | 3.94445 | + | 6.83198i | 0.237859 | + | 0.411984i | ||||
\(276\) | 0.906910 | + | 1.68597i | 0.0545896 | + | 0.101484i | ||||
\(277\) | 7.51079 | 0.451280 | 0.225640 | − | 0.974211i | \(-0.427553\pi\) | ||||
0.225640 | + | 0.974211i | \(0.427553\pi\) | |||||||
\(278\) | −0.423420 | − | 0.244462i | −0.0253950 | − | 0.0146618i | ||||
\(279\) | 0.487237 | − | 8.08881i | 0.0291701 | − | 0.484264i | ||||
\(280\) | 0.133048 | − | 0.0768152i | 0.00795112 | − | 0.00459058i | ||||
\(281\) | 11.3324 | − | 19.6283i | 0.676033 | − | 1.17092i | −0.300132 | − | 0.953898i | \(-0.597031\pi\) |
0.976166 | − | 0.217026i | \(-0.0696358\pi\) | |||||||
\(282\) | 2.18984 | + | 4.07097i | 0.130403 | + | 0.242423i | ||||
\(283\) | −6.14219 | −0.365115 | −0.182558 | − | 0.983195i | \(-0.558438\pi\) | ||||
−0.182558 | + | 0.983195i | \(0.558438\pi\) | |||||||
\(284\) | 4.54172 | + | 2.62216i | 0.269502 | + | 0.155597i | ||||
\(285\) | 0.572607 | − | 19.0294i | 0.0339183 | − | 1.12720i | ||||
\(286\) | −5.66134 | − | 3.26857i | −0.334762 | − | 0.193275i | ||||
\(287\) | −0.198049 | − | 0.114344i | −0.0116905 | − | 0.00674949i | ||||
\(288\) | 16.6029 | + | 1.00009i | 0.978333 | + | 0.0589308i | ||||
\(289\) | −0.231388 | − | 0.400775i | −0.0136110 | − | 0.0235750i | ||||
\(290\) | − | 10.4876i | − | 0.615850i | ||||||
\(291\) | 3.46291 | + | 0.104201i | 0.202999 | + | 0.00610839i | ||||
\(292\) | 5.37529 | 0.314565 | ||||||||
\(293\) | 18.0740i | 1.05589i | 0.849278 | + | 0.527946i | \(0.177038\pi\) | ||||
−0.849278 | + | 0.527946i | \(0.822962\pi\) | |||||||
\(294\) | 9.31441 | + | 5.75799i | 0.543228 | + | 0.335813i | ||||
\(295\) | 1.12792i | 0.0656703i | ||||||||
\(296\) | 11.2937 | − | 19.5613i | 0.656436 | − | 1.13698i | ||||
\(297\) | −12.2187 | + | 5.65341i | −0.708999 | + | 0.328044i | ||||
\(298\) | −11.8301 | − | 6.83011i | −0.685299 | − | 0.395658i | ||||
\(299\) | 1.30371 | + | 2.25808i | 0.0753952 | + | 0.130588i | ||||
\(300\) | −5.31079 | − | 3.28303i | −0.306619 | − | 0.189546i | ||||
\(301\) | 0.0982984 | + | 0.170258i | 0.00566582 | + | 0.00981350i | ||||
\(302\) | −2.40893 | − | 4.17239i | −0.138618 | − | 0.240094i | ||||
\(303\) | −8.17250 | − | 5.05208i | −0.469498 | − | 0.290234i | ||||
\(304\) | 0.905793 | + | 1.56888i | 0.0519508 | + | 0.0899814i | ||||
\(305\) | −1.03487 | − | 0.597480i | −0.0592562 | − | 0.0342116i | ||||
\(306\) | −0.662653 | + | 11.0010i | −0.0378814 | + | 0.628883i | ||||
\(307\) | −0.200151 | + | 0.346671i | −0.0114232 | + | 0.0197856i | −0.871681 | − | 0.490075i | \(-0.836970\pi\) |
0.860257 | + | 0.509860i | \(0.170303\pi\) | |||||||
\(308\) | 0.117176i | 0.00667671i | ||||||||
\(309\) | 17.1687 | + | 10.6133i | 0.976692 | + | 0.603772i | ||||
\(310\) | 3.41206i | 0.193792i | ||||||||
\(311\) | −11.3177 | −0.641769 | −0.320884 | − | 0.947118i | \(-0.603980\pi\) | ||||
−0.320884 | + | 0.947118i | \(0.603980\pi\) | |||||||
\(312\) | 13.9075 | + | 0.418487i | 0.787359 | + | 0.0236922i | ||||
\(313\) | 20.5986i | 1.16430i | 0.813080 | + | 0.582152i | \(0.197789\pi\) | ||||
−0.813080 | + | 0.582152i | \(0.802211\pi\) | |||||||
\(314\) | 5.51404 | + | 9.55060i | 0.311175 | + | 0.538972i | ||||
\(315\) | 0.00963474 | − | 0.159950i | 0.000542856 | − | 0.00901216i | ||||
\(316\) | 14.2452 | + | 8.22445i | 0.801354 | + | 0.462662i | ||||
\(317\) | 11.5110 | + | 6.64589i | 0.646523 | + | 0.373270i | 0.787123 | − | 0.616796i | \(-0.211570\pi\) |
−0.140600 | + | 0.990067i | \(0.544903\pi\) | |||||||
\(318\) | 0.0731630 | − | 2.43142i | 0.00410278 | − | 0.136347i | ||||
\(319\) | 18.6296 | + | 10.7558i | 1.04306 | + | 0.602210i | ||||
\(320\) | −7.64801 | −0.427537 | ||||||||
\(321\) | 8.48851 | + | 15.7804i | 0.473782 | + | 0.880776i | ||||
\(322\) | −0.0161077 | + | 0.0278993i | −0.000897646 | + | 0.00155477i | ||||
\(323\) | 27.6835 | − | 15.9831i | 1.54035 | − | 0.889321i | ||||
\(324\) | 6.39682 | − | 8.52156i | 0.355379 | − | 0.473420i | ||||
\(325\) | −7.36444 | − | 4.25186i | −0.408506 | − | 0.235851i | ||||
\(326\) | 10.7810 | 0.597105 | ||||||||
\(327\) | −14.1440 | − | 26.2942i | −0.782165 | − | 1.45407i | ||||
\(328\) | 8.60978 | + | 14.9126i | 0.475396 | + | 0.823410i | ||||
\(329\) | 0.0564256 | − | 0.0977320i | 0.00311085 | − | 0.00538814i | ||||
\(330\) | 4.99237 | − | 2.68547i | 0.274821 | − | 0.147830i | ||||
\(331\) | 28.3236 | − | 16.3526i | 1.55681 | − | 0.898823i | 0.559247 | − | 0.829001i | \(-0.311090\pi\) |
0.997559 | − | 0.0698218i | \(-0.0222431\pi\) | |||||||
\(332\) | 14.8817i | 0.816740i | ||||||||
\(333\) | −10.5316 | − | 21.0743i | −0.577126 | − | 1.15486i | ||||
\(334\) | − | 13.5907i | − | 0.743652i | ||||||
\(335\) | 10.4842 | + | 4.59174i | 0.572812 | + | 0.250874i | ||||
\(336\) | 0.00722331 | + | 0.0134284i | 0.000394064 | + | 0.000732577i | ||||
\(337\) | −1.52050 | − | 0.877864i | −0.0828271 | − | 0.0478203i | 0.458014 | − | 0.888945i | \(-0.348561\pi\) |
−0.540842 | + | 0.841124i | \(0.681894\pi\) | |||||||
\(338\) | −4.69715 | −0.255492 | ||||||||
\(339\) | −8.52991 | − | 5.27302i | −0.463281 | − | 0.286391i | ||||
\(340\) | 6.73222i | 0.365106i | ||||||||
\(341\) | −6.06102 | − | 3.49933i | −0.328223 | − | 0.189499i | ||||
\(342\) | 21.2646 | + | 1.28089i | 1.14986 | + | 0.0692628i | ||||
\(343\) | − | 0.534725i | − | 0.0288724i | ||||||
\(344\) | − | 14.8032i | − | 0.798137i | ||||||
\(345\) | −2.26005 | − | 0.0680063i | −0.121677 | − | 0.00366134i | ||||
\(346\) | 6.18613 | − | 3.57156i | 0.332568 | − | 0.192008i | ||||
\(347\) | 11.6692 | + | 20.2117i | 0.626436 | + | 1.08502i | 0.988261 | + | 0.152773i | \(0.0488202\pi\) |
−0.361826 | + | 0.932246i | \(0.617846\pi\) | |||||||
\(348\) | −17.0175 | − | 0.512070i | −0.912236 | − | 0.0274498i | ||||
\(349\) | −28.4938 | −1.52524 | −0.762618 | − | 0.646849i | \(-0.776087\pi\) | ||||
−0.762618 | + | 0.646849i | \(0.776087\pi\) | |||||||
\(350\) | − | 0.105066i | − | 0.00561602i | ||||||
\(351\) | 8.35936 | − | 11.8630i | 0.446190 | − | 0.633202i | ||||
\(352\) | 7.18263 | − | 12.4407i | 0.382836 | − | 0.663091i | ||||
\(353\) | −5.88530 | + | 10.1936i | −0.313243 | + | 0.542553i | −0.979062 | − | 0.203560i | \(-0.934749\pi\) |
0.665819 | + | 0.746113i | \(0.268082\pi\) | |||||||
\(354\) | −1.26156 | − | 0.0379611i | −0.0670509 | − | 0.00201761i | ||||
\(355\) | −5.36411 | + | 3.09697i | −0.284697 | + | 0.164370i | ||||
\(356\) | 12.1901 | − | 7.03798i | 0.646076 | − | 0.373012i | ||||
\(357\) | 0.236948 | − | 0.127458i | 0.0125406 | − | 0.00674579i | ||||
\(358\) | −3.41227 | + | 5.91022i | −0.180344 | + | 0.312365i | ||||
\(359\) | − | 31.0668i | − | 1.63965i | −0.572617 | − | 0.819823i | \(-0.694072\pi\) | ||
0.572617 | − | 0.819823i | \(-0.305928\pi\) | |||||||
\(360\) | −6.65019 | + | 10.0675i | −0.350496 | + | 0.530605i | ||||
\(361\) | −21.3949 | − | 37.0570i | −1.12605 | − | 1.95037i | ||||
\(362\) | −13.7192 | −0.721065 | ||||||||
\(363\) | 0.223320 | − | 7.42156i | 0.0117213 | − | 0.389531i | ||||
\(364\) | −0.0631540 | − | 0.109386i | −0.00331017 | − | 0.00573338i | ||||
\(365\) | −3.17431 | + | 5.49806i | −0.166151 | + | 0.287782i | ||||
\(366\) | 0.703096 | − | 1.13736i | 0.0367514 | − | 0.0594510i | ||||
\(367\) | −29.5339 | + | 17.0514i | −1.54166 | + | 0.890077i | −0.542925 | + | 0.839781i | \(0.682683\pi\) |
−0.998734 | + | 0.0502958i | \(0.983984\pi\) | |||||||
\(368\) | 0.186330 | − | 0.107578i | 0.00971311 | − | 0.00560787i | ||||
\(369\) | 17.9279 | + | 1.07990i | 0.933289 | + | 0.0562176i | ||||
\(370\) | 4.95995 | + | 8.59088i | 0.257855 | + | 0.446618i | ||||
\(371\) | −0.0514291 | + | 0.0296926i | −0.00267007 | + | 0.00154156i | ||||
\(372\) | 5.53654 | + | 0.166598i | 0.287056 | + | 0.00863773i | ||||
\(373\) | −20.8964 | + | 12.0645i | −1.08198 | + | 0.624679i | −0.931429 | − | 0.363924i | \(-0.881437\pi\) |
−0.150547 | + | 0.988603i | \(0.548103\pi\) | |||||||
\(374\) | 8.24313 | + | 4.75917i | 0.426242 | + | 0.246091i | ||||
\(375\) | 17.1589 | − | 9.23001i | 0.886081 | − | 0.476636i | ||||
\(376\) | −7.35897 | + | 4.24870i | −0.379510 | + | 0.219110i | ||||
\(377\) | −23.1881 | −1.19425 | ||||||||
\(378\) | 0.178576 | + | 0.0161595i | 0.00918496 | + | 0.000831153i | ||||
\(379\) | 4.45605 | + | 2.57270i | 0.228892 | + | 0.132151i | 0.610061 | − | 0.792355i | \(-0.291145\pi\) |
−0.381169 | + | 0.924505i | \(0.624478\pi\) | |||||||
\(380\) | 13.0132 | 0.667565 | ||||||||
\(381\) | −0.906376 | − | 0.560304i | −0.0464350 | − | 0.0287052i | ||||
\(382\) | 7.98960 | + | 13.8384i | 0.408783 | + | 0.708033i | ||||
\(383\) | 10.5418 | − | 18.2590i | 0.538663 | − | 0.932991i | −0.460314 | − | 0.887756i | \(-0.652263\pi\) |
0.998976 | − | 0.0452350i | \(-0.0144037\pi\) | |||||||
\(384\) | −0.320264 | + | 10.6433i | −0.0163434 | + | 0.543138i | ||||
\(385\) | −0.119852 | − | 0.0691966i | −0.00610823 | − | 0.00352659i | ||||
\(386\) | −3.74898 | + | 6.49342i | −0.190818 | + | 0.330506i | ||||
\(387\) | −12.8831 | − | 8.51007i | −0.654887 | − | 0.432591i | ||||
\(388\) | 2.36811i | 0.120223i | ||||||||
\(389\) | −15.7997 | − | 9.12198i | −0.801078 | − | 0.462503i | 0.0427700 | − | 0.999085i | \(-0.486382\pi\) |
−0.843848 | + | 0.536582i | \(0.819715\pi\) | |||||||
\(390\) | −3.21309 | + | 5.19766i | −0.162701 | + | 0.263194i | ||||
\(391\) | −1.89825 | − | 3.28786i | −0.0959984 | − | 0.166274i | ||||
\(392\) | −10.0648 | + | 17.4327i | −0.508349 | + | 0.880487i | ||||
\(393\) | 8.69948 | + | 16.1726i | 0.438831 | + | 0.815800i | ||||
\(394\) | 24.6792 | 1.24332 | ||||||||
\(395\) | −16.8246 | + | 9.71369i | −0.846537 | + | 0.488749i | ||||
\(396\) | −4.11379 | − | 8.23195i | −0.206726 | − | 0.413671i | ||||
\(397\) | −4.06140 | −0.203836 | −0.101918 | − | 0.994793i | \(-0.532498\pi\) | ||||
−0.101918 | + | 0.994793i | \(0.532498\pi\) | |||||||
\(398\) | −0.791441 | − | 1.37082i | −0.0396714 | − | 0.0687128i | ||||
\(399\) | −0.246373 | − | 0.458016i | −0.0123341 | − | 0.0229295i | ||||
\(400\) | −0.350850 | + | 0.607690i | −0.0175425 | + | 0.0303845i | ||||
\(401\) | −30.5036 | −1.52328 | −0.761639 | − | 0.648002i | \(-0.775605\pi\) | ||||
−0.761639 | + | 0.648002i | \(0.775605\pi\) | |||||||
\(402\) | −5.48861 | + | 11.5718i | −0.273747 | + | 0.577147i | ||||
\(403\) | 7.54411 | 0.375799 | ||||||||
\(404\) | 3.28372 | − | 5.68757i | 0.163371 | − | 0.282967i | ||||
\(405\) | 4.93863 | + | 11.5752i | 0.245403 | + | 0.575177i | ||||
\(406\) | −0.143248 | − | 0.248113i | −0.00710930 | − | 0.0123137i | ||||
\(407\) | −20.3473 | −1.00858 | ||||||||
\(408\) | −20.2499 | − | 0.609334i | −1.00252 | − | 0.0301665i | ||||
\(409\) | −26.1622 | + | 15.1048i | −1.29364 | + | 0.746882i | −0.979297 | − | 0.202428i | \(-0.935117\pi\) |
−0.314341 | + | 0.949310i | \(0.601783\pi\) | |||||||
\(410\) | −7.56242 | −0.373482 | ||||||||
\(411\) | −25.9572 | + | 13.9627i | −1.28037 | + | 0.688731i | ||||
\(412\) | −6.89840 | + | 11.9484i | −0.339860 | + | 0.588654i | ||||
\(413\) | 0.0154062 | + | 0.0266843i | 0.000758089 | + | 0.00131305i | ||||
\(414\) | 0.152127 | − | 2.52552i | 0.00747663 | − | 0.124122i | ||||
\(415\) | −15.2216 | − | 8.78820i | −0.747200 | − | 0.431396i | ||||
\(416\) | 15.4848i | 0.759207i | ||||||||
\(417\) | −0.444083 | − | 0.825565i | −0.0217468 | − | 0.0404281i | ||||
\(418\) | 9.19937 | − | 15.9338i | 0.449956 | − | 0.779347i | ||||
\(419\) | −13.7470 | − | 7.93685i | −0.671586 | − | 0.387740i | 0.125091 | − | 0.992145i | \(-0.460078\pi\) |
−0.796677 | + | 0.604405i | \(0.793411\pi\) | |||||||
\(420\) | 0.109481 | + | 0.00329436i | 0.00534212 | + | 0.000160748i | ||||
\(421\) | 7.28096 | − | 12.6110i | 0.354852 | − | 0.614622i | −0.632240 | − | 0.774772i | \(-0.717864\pi\) |
0.987093 | + | 0.160150i | \(0.0511978\pi\) | |||||||
\(422\) | 11.5779 | + | 20.0536i | 0.563605 | + | 0.976192i | ||||
\(423\) | −0.532904 | + | 8.84695i | −0.0259107 | + | 0.430154i | ||||
\(424\) | 4.47155 | 0.217158 | ||||||||
\(425\) | 10.7229 | + | 6.19087i | 0.520137 | + | 0.300302i | ||||
\(426\) | −3.28335 | − | 6.10386i | −0.159079 | − | 0.295733i | ||||
\(427\) | −0.0326437 | −0.00157974 | ||||||||
\(428\) | −10.6072 | + | 6.12404i | −0.512716 | + | 0.296017i | ||||
\(429\) | −5.93761 | − | 11.0382i | −0.286671 | − | 0.532930i | ||||
\(430\) | 5.63023 | + | 3.25061i | 0.271514 | + | 0.156758i | ||||
\(431\) | −18.4101 | + | 10.6291i | −0.886784 | + | 0.511985i | −0.872889 | − | 0.487918i | \(-0.837756\pi\) |
−0.0138951 | + | 0.999903i | \(0.504423\pi\) | |||||||
\(432\) | −0.978900 | − | 0.689787i | −0.0470974 | − | 0.0331874i | ||||
\(433\) | −13.2648 | + | 7.65845i | −0.637467 | + | 0.368042i | −0.783638 | − | 0.621218i | \(-0.786638\pi\) |
0.146171 | + | 0.989259i | \(0.453305\pi\) | |||||||
\(434\) | 0.0466049 | + | 0.0807221i | 0.00223711 | + | 0.00387478i | ||||
\(435\) | 10.5733 | − | 17.1038i | 0.506949 | − | 0.820066i | ||||
\(436\) | 17.6742 | − | 10.2042i | 0.846441 | − | 0.488693i | ||||
\(437\) | −6.35536 | + | 3.66927i | −0.304018 | + | 0.175525i | ||||
\(438\) | −6.04262 | − | 3.73543i | −0.288727 | − | 0.178486i | ||||
\(439\) | −7.83752 | + | 13.5750i | −0.374065 | + | 0.647899i | −0.990187 | − | 0.139752i | \(-0.955370\pi\) |
0.616122 | + | 0.787651i | \(0.288703\pi\) | |||||||
\(440\) | 5.21033 | + | 9.02455i | 0.248393 | + | 0.430229i | ||||
\(441\) | 9.38555 | + | 18.7810i | 0.446931 | + | 0.894336i | ||||
\(442\) | −10.2602 | −0.488026 | ||||||||
\(443\) | 14.8735 | + | 25.7616i | 0.706659 | + | 1.22397i | 0.966089 | + | 0.258208i | \(0.0831318\pi\) |
−0.259430 | + | 0.965762i | \(0.583535\pi\) | |||||||
\(444\) | 14.1821 | − | 7.62875i | 0.673052 | − | 0.362045i | ||||
\(445\) | 16.6248i | 0.788089i | ||||||||
\(446\) | 9.71649 | − | 16.8295i | 0.460089 | − | 0.796898i | ||||
\(447\) | −12.4074 | − | 23.0658i | −0.586850 | − | 1.09097i | ||||
\(448\) | −0.180936 | + | 0.104463i | −0.00854841 | + | 0.00493543i | ||||
\(449\) | 25.8126 | − | 14.9029i | 1.21817 | − | 0.703311i | 0.253645 | − | 0.967297i | \(-0.418371\pi\) |
0.964526 | + | 0.263986i | \(0.0850373\pi\) | |||||||
\(450\) | 3.68865 | + | 7.38121i | 0.173885 | + | 0.347953i | ||||
\(451\) | 7.75586 | − | 13.4335i | 0.365209 | − | 0.632561i | ||||
\(452\) | 3.42733 | − | 5.93631i | 0.161208 | − | 0.279220i | ||||
\(453\) | 0.277835 | − | 9.23324i | 0.0130538 | − | 0.433815i | ||||
\(454\) | 4.71213i | 0.221151i | ||||||||
\(455\) | 0.149179 | 0.00699362 | ||||||||
\(456\) | −1.17783 | + | 39.1426i | −0.0551569 | + | 1.83302i | ||||
\(457\) | −19.1529 | − | 33.1737i | −0.895933 | − | 1.55180i | −0.832645 | − | 0.553806i | \(-0.813175\pi\) |
−0.0632876 | − | 0.997995i | \(-0.520159\pi\) | |||||||
\(458\) | 1.23813 | − | 0.714836i | 0.0578541 | − | 0.0334021i | ||||
\(459\) | −12.1716 | + | 17.2731i | −0.568119 | + | 0.806237i | ||||
\(460\) | − | 1.54553i | − | 0.0720608i | ||||||
\(461\) | 39.8562i | 1.85629i | 0.372223 | + | 0.928143i | \(0.378596\pi\) | ||||
−0.372223 | + | 0.928143i | \(0.621404\pi\) | |||||||
\(462\) | 0.0814285 | − | 0.131723i | 0.00378839 | − | 0.00612830i | ||||
\(463\) | 11.3415 | + | 6.54801i | 0.527083 | + | 0.304312i | 0.739828 | − | 0.672796i | \(-0.234907\pi\) |
−0.212745 | + | 0.977108i | \(0.568240\pi\) | |||||||
\(464\) | 1.91341i | 0.0888279i | ||||||||
\(465\) | −3.43994 | + | 5.56461i | −0.159523 | + | 0.258053i | ||||
\(466\) | −10.6483 | −0.493272 | ||||||||
\(467\) | −29.7743 | − | 17.1902i | −1.37779 | − | 0.795469i | −0.385899 | − | 0.922541i | \(-0.626109\pi\) |
−0.991893 | + | 0.127073i | \(0.959442\pi\) | |||||||
\(468\) | 8.27706 | + | 5.46748i | 0.382607 | + | 0.252735i | ||||
\(469\) | 0.310752 | − | 0.0345714i | 0.0143492 | − | 0.00159636i | ||||
\(470\) | − | 3.73186i | − | 0.172138i | ||||||
\(471\) | −0.635963 | + | 21.1349i | −0.0293036 | + | 0.973844i | ||||
\(472\) | − | 2.32009i | − | 0.106791i | ||||||
\(473\) | −11.5485 | + | 6.66752i | −0.531000 | + | 0.306573i | ||||
\(474\) | −10.2983 | − | 19.1448i | −0.473016 | − | 0.879351i | ||||
\(475\) | 11.9668 | − | 20.7272i | 0.549076 | − | 0.951027i | ||||
\(476\) | 0.0919547 | + | 0.159270i | 0.00421473 | + | 0.00730013i | ||||
\(477\) | 2.57060 | − | 3.89156i | 0.117700 | − | 0.178182i | ||||
\(478\) | 14.7087 | 0.672758 | ||||||||
\(479\) | 30.8832 | + | 17.8305i | 1.41109 | + | 0.814694i | 0.995491 | − | 0.0948533i | \(-0.0302382\pi\) |
0.415600 | + | 0.909547i | \(0.363572\pi\) | |||||||
\(480\) | −11.4218 | − | 7.06072i | −0.521330 | − | 0.322276i | ||||
\(481\) | 18.9946 | − | 10.9665i | 0.866078 | − | 0.500030i | ||||
\(482\) | 12.2191 | − | 21.1642i | 0.556566 | − | 0.964001i | ||||
\(483\) | −0.0543968 | + | 0.0292608i | −0.00247514 | + | 0.00133141i | ||||
\(484\) | 5.07523 | 0.230692 | ||||||||
\(485\) | −2.42220 | − | 1.39846i | −0.109986 | − | 0.0635006i | ||||
\(486\) | −13.1128 | + | 5.13417i | −0.594810 | + | 0.232891i | ||||
\(487\) | 7.01892 | + | 4.05238i | 0.318058 | + | 0.183631i | 0.650527 | − | 0.759484i | \(-0.274548\pi\) |
−0.332469 | + | 0.943114i | \(0.607882\pi\) | |||||||
\(488\) | 2.12868 | + | 1.22899i | 0.0963607 | + | 0.0556338i | ||||
\(489\) | 17.5824 | + | 10.8691i | 0.795105 | + | 0.491518i | ||||
\(490\) | −4.42022 | − | 7.65605i | −0.199685 | − | 0.345865i | ||||
\(491\) | 2.28622i | 0.103176i | 0.998668 | + | 0.0515879i | \(0.0164282\pi\) | ||||
−0.998668 | + | 0.0515879i | \(0.983572\pi\) | |||||||
\(492\) | −0.369246 | + | 12.2711i | −0.0166469 | + | 0.553224i | ||||
\(493\) | 33.7628 | 1.52060 | ||||||||
\(494\) | 19.8327i | 0.892314i | ||||||||
\(495\) | 10.8493 | + | 0.653518i | 0.487640 | + | 0.0293735i | ||||
\(496\) | − | 0.622516i | − | 0.0279518i | ||||||
\(497\) | −0.0846024 | + | 0.146536i | −0.00379493 | + | 0.00657302i | ||||
\(498\) | 10.3417 | − | 16.7292i | 0.463422 | − | 0.749655i | ||||
\(499\) | −19.4102 | − | 11.2065i | −0.868918 | − | 0.501670i | −0.00192943 | − | 0.999998i | \(-0.500614\pi\) |
−0.866989 | + | 0.498328i | \(0.833947\pi\) | |||||||
\(500\) | 6.65900 | + | 11.5337i | 0.297800 | + | 0.515804i | ||||
\(501\) | 13.7018 | − | 22.1647i | 0.612151 | − | 0.990246i | ||||
\(502\) | 12.3453 | + | 21.3827i | 0.550998 | + | 0.954357i | ||||
\(503\) | 2.75883 | + | 4.77844i | 0.123010 | + | 0.213060i | 0.920953 | − | 0.389673i | \(-0.127412\pi\) |
−0.797943 | + | 0.602733i | \(0.794078\pi\) | |||||||
\(504\) | −0.0198183 | + | 0.329011i | −0.000882775 | + | 0.0146553i | ||||
\(505\) | 3.87832 | + | 6.71744i | 0.172583 | + | 0.298922i | ||||
\(506\) | −1.89239 | − | 1.09257i | −0.0841272 | − | 0.0485709i | ||||
\(507\) | −7.66044 | − | 4.73554i | −0.340212 | − | 0.210313i | ||||
\(508\) | 0.364183 | − | 0.630784i | 0.0161580 | − | 0.0279865i | ||||
\(509\) | − | 14.3702i | − | 0.636950i | −0.947931 | − | 0.318475i | \(-0.896829\pi\) | ||
0.947931 | − | 0.318475i | \(-0.103171\pi\) | |||||||
\(510\) | 4.67839 | − | 7.56800i | 0.207163 | − | 0.335117i | ||||
\(511\) | 0.173430i | 0.00767210i | ||||||||
\(512\) | 2.60350 | 0.115059 | ||||||||
\(513\) | 33.3884 | + | 23.5273i | 1.47414 | + | 1.03876i | ||||
\(514\) | 2.14030i | 0.0944045i | ||||||||
\(515\) | −8.14752 | − | 14.1119i | −0.359022 | − | 0.621845i | ||||
\(516\) | 5.54948 | − | 8.97713i | 0.244302 | − | 0.395196i | ||||
\(517\) | 6.62911 | + | 3.82732i | 0.291548 | + | 0.168325i | ||||
\(518\) | 0.234684 | + | 0.135495i | 0.0103114 | + | 0.00595330i | ||||
\(519\) | 13.6895 | + | 0.411927i | 0.600903 | + | 0.0180816i | ||||
\(520\) | −9.72789 | − | 5.61640i | −0.426596 | − | 0.246295i | ||||
\(521\) | −1.22430 | −0.0536376 | −0.0268188 | − | 0.999640i | \(-0.508538\pi\) | ||||
−0.0268188 | + | 0.999640i | \(0.508538\pi\) | |||||||
\(522\) | 18.7744 | + | 12.4016i | 0.821732 | + | 0.542802i | ||||
\(523\) | 6.27415 | − | 10.8672i | 0.274350 | − | 0.475187i | −0.695621 | − | 0.718409i | \(-0.744871\pi\) |
0.969971 | + | 0.243221i | \(0.0782041\pi\) | |||||||
\(524\) | −10.8708 | + | 6.27625i | −0.474892 | + | 0.274179i | ||||
\(525\) | 0.105925 | − | 0.171349i | 0.00462293 | − | 0.00747828i | ||||
\(526\) | −20.9513 | − | 12.0963i | −0.913522 | − | 0.527422i | ||||
\(527\) | −10.9845 | −0.478493 | ||||||||
\(528\) | −0.910838 | + | 0.489953i | −0.0396391 | + | 0.0213225i | ||||
\(529\) | −11.0642 | − | 19.1638i | −0.481053 | − | 0.833208i | ||||
\(530\) | −0.981900 | + | 1.70070i | −0.0426510 | + | 0.0738737i | ||||
\(531\) | −2.01916 | − | 1.33377i | −0.0876241 | − | 0.0578809i | ||||
\(532\) | 0.307866 | − | 0.177746i | 0.0133477 | − | 0.00770628i | ||||
\(533\) | 16.7206i | 0.724251i | ||||||||
\(534\) | −18.5944 | − | 0.559518i | −0.804658 | − | 0.0242127i | ||||
\(535\) | − | 14.4659i | − | 0.625415i | ||||||
\(536\) | −21.5655 | − | 9.44503i | −0.931489 | − | 0.407963i | ||||
\(537\) | −11.5235 | + | 6.19865i | −0.497275 | + | 0.267491i | ||||
\(538\) | −14.4617 | − | 8.34944i | −0.623486 | − | 0.359970i | ||||
\(539\) | 18.1331 | 0.781050 | ||||||||
\(540\) | −7.80702 | + | 3.61220i | −0.335961 | + | 0.155444i | ||||
\(541\) | 21.9246i | 0.942611i | 0.881970 | + | 0.471305i | \(0.156217\pi\) | ||||
−0.881970 | + | 0.471305i | \(0.843783\pi\) | |||||||
\(542\) | 6.97954 | + | 4.02964i | 0.299797 | + | 0.173088i | ||||
\(543\) | −22.3742 | − | 13.8313i | −0.960169 | − | 0.593558i | ||||
\(544\) | − | 22.5465i | − | 0.966674i | ||||||
\(545\) | 24.1038i | 1.03249i | ||||||||
\(546\) | −0.00502073 | + | 0.166853i | −0.000214867 | + | 0.00714065i | ||||
\(547\) | 15.6930 | − | 9.06037i | 0.670985 | − | 0.387393i | −0.125465 | − | 0.992098i | \(-0.540042\pi\) |
0.796450 | + | 0.604705i | \(0.206709\pi\) | |||||||
\(548\) | −10.0734 | − | 17.4477i | −0.430316 | − | 0.745329i | ||||
\(549\) | 2.29331 | − | 1.14605i | 0.0978763 | − | 0.0489122i | ||||
\(550\) | 7.12657 | 0.303878 | ||||||||
\(551\) | − | 65.2629i | − | 2.78029i | ||||||
\(552\) | 4.64882 | + | 0.139886i | 0.197867 | + | 0.00595396i | ||||
\(553\) | −0.265356 | + | 0.459611i | −0.0112841 | + | 0.0195446i | ||||
\(554\) | 3.39250 | − | 5.87598i | 0.144134 | − | 0.249647i | ||||
\(555\) | −0.572056 | + | 19.0111i | −0.0242824 | + | 0.806975i | ||||
\(556\) | 0.554922 | − | 0.320384i | 0.0235339 | − | 0.0135873i | ||||
\(557\) | −10.0084 | + | 5.77838i | −0.424071 | + | 0.244838i | −0.696818 | − | 0.717248i | \(-0.745401\pi\) |
0.272746 | + | 0.962086i | \(0.412068\pi\) | |||||||
\(558\) | −6.10811 | − | 4.03477i | −0.258577 | − | 0.170805i | ||||
\(559\) | 7.18716 | − | 12.4485i | 0.303984 | − | 0.526516i | ||||
\(560\) | − | 0.0123098i | − | 0.000520183i | ||||||
\(561\) | 8.64540 | + | 16.0721i | 0.365009 | + | 0.678563i | ||||
\(562\) | −10.2373 | − | 17.7315i | −0.431835 | − | 0.747960i | ||||
\(563\) | 3.96740 | 0.167206 | 0.0836030 | − | 0.996499i | \(-0.473357\pi\) | ||||
0.0836030 | + | 0.996499i | \(0.473357\pi\) | |||||||
\(564\) | −6.05547 | − | 0.182213i | −0.254981 | − | 0.00767257i | ||||
\(565\) | 4.04793 | + | 7.01122i | 0.170298 | + | 0.294964i | ||||
\(566\) | −2.77433 | + | 4.80527i | −0.116614 | + | 0.201981i | ||||
\(567\) | 0.274942 | + | 0.206389i | 0.0115465 | + | 0.00866753i | ||||
\(568\) | 11.0338 | − | 6.37034i | 0.462966 | − | 0.267294i | ||||
\(569\) | 19.4014 | − | 11.2014i | 0.813348 | − | 0.469587i | −0.0347690 | − | 0.999395i | \(-0.511070\pi\) |
0.848117 | + | 0.529809i | \(0.177736\pi\) | |||||||
\(570\) | −14.6288 | − | 9.04323i | −0.612732 | − | 0.378779i | ||||
\(571\) | 3.33593 | + | 5.77799i | 0.139604 | + | 0.241802i | 0.927347 | − | 0.374203i | \(-0.122084\pi\) |
−0.787743 | + | 0.616004i | \(0.788750\pi\) | |||||||
\(572\) | 7.41958 | − | 4.28370i | 0.310228 | − | 0.179110i | ||||
\(573\) | −0.921482 | + | 30.6235i | −0.0384955 | + | 1.27931i | ||||
\(574\) | −0.178911 | + | 0.103294i | −0.00746760 | + | 0.00431142i | ||||
\(575\) | −2.46168 | − | 1.42125i | −0.102659 | − | 0.0592704i | ||||
\(576\) | 9.04380 | − | 13.6911i | 0.376825 | − | 0.570464i | ||||
\(577\) | −11.0405 | + | 6.37424i | −0.459622 | + | 0.265363i | −0.711885 | − | 0.702296i | \(-0.752158\pi\) |
0.252263 | + | 0.967659i | \(0.418825\pi\) | |||||||
\(578\) | −0.418056 | −0.0173888 | ||||||||
\(579\) | −12.6606 | + | 6.81030i | −0.526155 | + | 0.283027i | ||||
\(580\) | 11.9032 | + | 6.87234i | 0.494255 | + | 0.285358i | ||||
\(581\) | −0.480148 | −0.0199199 | ||||||||
\(582\) | 1.64566 | − | 2.66210i | 0.0682148 | − | 0.110348i | ||||
\(583\) | −2.01403 | − | 3.48840i | −0.0834127 | − | 0.144475i | ||||
\(584\) | 6.52942 | − | 11.3093i | 0.270189 | − | 0.467982i | ||||
\(585\) | −10.4803 | + | 5.23736i | −0.433306 | + | 0.216538i | ||||
\(586\) | 14.1400 | + | 8.16371i | 0.584117 | + | 0.337240i | ||||
\(587\) | 8.81159 | − | 15.2621i | 0.363693 | − | 0.629935i | −0.624872 | − | 0.780727i | \(-0.714849\pi\) |
0.988566 | + | 0.150792i | \(0.0481823\pi\) | |||||||
\(588\) | −12.6388 | + | 6.79862i | −0.521217 | + | 0.280370i | ||||
\(589\) | 21.2328i | 0.874884i | ||||||||
\(590\) | 0.882419 | + | 0.509465i | 0.0363286 | + | 0.0209743i | ||||
\(591\) | 40.2486 | + | 24.8809i | 1.65561 | + | 1.02346i | ||||
\(592\) | −0.904922 | − | 1.56737i | −0.0371921 | − | 0.0644185i | ||||
\(593\) | 11.7540 | − | 20.3585i | 0.482679 | − | 0.836025i | −0.517123 | − | 0.855911i | \(-0.672997\pi\) |
0.999802 | + | 0.0198864i | \(0.00633044\pi\) | |||||||
\(594\) | −1.09609 | + | 12.1127i | −0.0449730 | + | 0.496990i | ||||
\(595\) | −0.217210 | −0.00890476 | ||||||||
\(596\) | 15.5042 | − | 8.95134i | 0.635076 | − | 0.366661i | ||||
\(597\) | 0.0912810 | − | 3.03353i | 0.00373588 | − | 0.124154i | ||||
\(598\) | 2.35545 | 0.0963215 | ||||||||
\(599\) | 7.01169 | + | 12.1446i | 0.286490 | + | 0.496215i | 0.972969 | − | 0.230934i | \(-0.0741781\pi\) |
−0.686479 | + | 0.727149i | \(0.740845\pi\) | |||||||
\(600\) | −13.3584 | + | 7.18565i | −0.545353 | + | 0.293353i | ||||
\(601\) | 11.1482 | − | 19.3093i | 0.454745 | − | 0.787641i | −0.543929 | − | 0.839131i | \(-0.683064\pi\) |
0.998673 | + | 0.0514904i | \(0.0163972\pi\) | |||||||
\(602\) | 0.177599 | 0.00723840 | ||||||||
\(603\) | −20.6175 | + | 13.3386i | −0.839610 | + | 0.543189i | ||||
\(604\) | 6.31415 | 0.256919 | ||||||||
\(605\) | −2.99711 | + | 5.19115i | −0.121850 | + | 0.211050i | ||||
\(606\) | −7.64382 | + | 4.11172i | −0.310509 | + | 0.167027i | ||||
\(607\) | 3.78471 | + | 6.55531i | 0.153617 | + | 0.266072i | 0.932554 | − | 0.361029i | \(-0.117575\pi\) |
−0.778938 | + | 0.627101i | \(0.784241\pi\) | |||||||
\(608\) | −43.5820 | −1.76748 | ||||||||
\(609\) | 0.0165216 | − | 0.549059i | 0.000669488 | − | 0.0222490i | ||||
\(610\) | −0.934864 | + | 0.539744i | −0.0378515 | + | 0.0218536i | ||||
\(611\) | −8.25120 | −0.333808 | ||||||||
\(612\) | −12.0517 | − | 7.96087i | −0.487162 | − | 0.321799i | ||||
\(613\) | −7.40363 | + | 12.8235i | −0.299030 | + | 0.517935i | −0.975914 | − | 0.218154i | \(-0.929996\pi\) |
0.676884 | + | 0.736089i | \(0.263330\pi\) | |||||||
\(614\) | 0.180810 | + | 0.313172i | 0.00729689 | + | 0.0126386i | ||||
\(615\) | −12.3333 | − | 7.62422i | −0.497328 | − | 0.307438i | ||||
\(616\) | 0.246531 | + | 0.142335i | 0.00993301 | + | 0.00573482i | ||||
\(617\) | − | 30.6753i | − | 1.23494i | −0.786593 | − | 0.617472i | \(-0.788157\pi\) | ||
0.786593 | − | 0.617472i | \(-0.211843\pi\) | |||||||
\(618\) | 16.0580 | − | 8.63786i | 0.645949 | − | 0.347466i | ||||
\(619\) | −8.15334 | + | 14.1220i | −0.327710 | + | 0.567611i | −0.982057 | − | 0.188584i | \(-0.939610\pi\) |
0.654347 | + | 0.756195i | \(0.272944\pi\) | |||||||
\(620\) | −3.87264 | − | 2.23587i | −0.155529 | − | 0.0897947i | ||||
\(621\) | 2.79425 | − | 3.96542i | 0.112130 | − | 0.159127i | ||||
\(622\) | −5.11203 | + | 8.85429i | −0.204974 | + | 0.355025i | ||||
\(623\) | 0.227076 | + | 0.393307i | 0.00909760 | + | 0.0157575i | ||||
\(624\) | 0.586216 | − | 0.948293i | 0.0234674 | − | 0.0379621i | ||||
\(625\) | −0.505824 | −0.0202329 | ||||||||
\(626\) | 16.1151 | + | 9.30407i | 0.644090 | + | 0.371866i | ||||
\(627\) | 31.0670 | − | 16.7114i | 1.24069 | − | 0.667388i | ||||
\(628\) | −14.4531 | −0.576741 | ||||||||
\(629\) | −27.6568 | + | 15.9677i | −1.10275 | + | 0.636673i | ||||
\(630\) | −0.120783 | − | 0.0797844i | −0.00481212 | − | 0.00317869i | ||||
\(631\) | 9.11568 | + | 5.26294i | 0.362890 | + | 0.209514i | 0.670348 | − | 0.742047i | \(-0.266145\pi\) |
−0.307458 | + | 0.951562i | \(0.599478\pi\) | |||||||
\(632\) | 34.6075 | − | 19.9807i | 1.37661 | − | 0.794788i | ||||
\(633\) | −1.33534 | + | 44.3773i | −0.0530751 | + | 1.76384i | ||||
\(634\) | 10.3987 | − | 6.00368i | 0.412984 | − | 0.238437i | ||||
\(635\) | 0.430127 | + | 0.745002i | 0.0170691 | + | 0.0295645i | ||||
\(636\) | 2.71168 | + | 1.67631i | 0.107525 | + | 0.0664700i | ||||
\(637\) | −16.9276 | + | 9.77318i | −0.670698 | + | 0.387227i | ||||
\(638\) | 16.8294 | − | 9.71645i | 0.666282 | − | 0.384678i | ||||
\(639\) | 0.799016 | − | 13.2648i | 0.0316086 | − | 0.524746i | ||||
\(640\) | 4.29817 | − | 7.44465i | 0.169900 | − | 0.294276i | ||||
\(641\) | 10.9089 | + | 18.8947i | 0.430875 | + | 0.746297i | 0.996949 | − | 0.0780571i | \(-0.0248716\pi\) |
−0.566074 | + | 0.824355i | \(0.691538\pi\) | |||||||
\(642\) | 16.1797 | + | 0.486860i | 0.638564 | + | 0.0192148i | ||||
\(643\) | −42.0181 | −1.65703 | −0.828516 | − | 0.559965i | \(-0.810815\pi\) | ||||
−0.828516 | + | 0.559965i | \(0.810815\pi\) | |||||||
\(644\) | −0.0211103 | − | 0.0365640i | −0.000831861 | − | 0.00144082i | ||||
\(645\) | 5.90499 | + | 10.9776i | 0.232509 | + | 0.432241i | ||||
\(646\) | − | 28.8771i | − | 1.13616i | ||||||
\(647\) | 20.2255 | − | 35.0316i | 0.795148 | − | 1.37724i | −0.127598 | − | 0.991826i | \(-0.540727\pi\) |
0.922745 | − | 0.385410i | \(-0.125940\pi\) | |||||||
\(648\) | −10.1586 | − | 23.8098i | −0.399066 | − | 0.935335i | ||||
\(649\) | −1.80998 | + | 1.04499i | −0.0710480 | + | 0.0410196i | ||||
\(650\) | −6.65279 | + | 3.84099i | −0.260944 | + | 0.150656i | ||||
\(651\) | −0.00537519 | + | 0.178633i | −0.000210670 | + | 0.00700117i | ||||
\(652\) | −7.06464 | + | 12.2363i | −0.276673 | + | 0.479211i | ||||
\(653\) | 14.8925 | − | 25.7946i | 0.582789 | − | 1.00942i | −0.412358 | − | 0.911022i | \(-0.635295\pi\) |
0.995147 | − | 0.0983980i | \(-0.0313718\pi\) | |||||||
\(654\) | −26.9596 | − | 0.811232i | −1.05420 | − | 0.0317217i | ||||
\(655\) | − | 14.8254i | − | 0.579277i | ||||||
\(656\) | 1.37973 | 0.0538695 | ||||||||
\(657\) | −6.08876 | − | 12.1840i | −0.237545 | − | 0.475342i | ||||
\(658\) | −0.0509731 | − | 0.0882880i | −0.00198714 | − | 0.00344182i | ||||
\(659\) | −26.2237 | + | 15.1403i | −1.02153 | + | 0.589781i | −0.914547 | − | 0.404480i | \(-0.867453\pi\) |
−0.106984 | + | 0.994261i | \(0.534119\pi\) | |||||||
\(660\) | −0.223454 | + | 7.42602i | −0.00869795 | + | 0.289058i | ||||
\(661\) | − | 37.9232i | − | 1.47504i | −0.675325 | − | 0.737520i | \(-0.735997\pi\) | ||
0.675325 | − | 0.737520i | \(-0.264003\pi\) | |||||||
\(662\) | − | 29.5449i | − | 1.14830i | ||||||
\(663\) | −16.7330 | − | 10.3440i | −0.649855 | − | 0.401728i | ||||
\(664\) | 31.3102 | + | 18.0770i | 1.21507 | + | 0.701523i | ||||
\(665\) | 0.419863i | 0.0162816i | ||||||||
\(666\) | −21.2442 | − | 1.27966i | −0.823195 | − | 0.0495859i | ||||
\(667\) | −7.75102 | −0.300121 | ||||||||
\(668\) | 15.4253 | + | 8.90581i | 0.596823 | + | 0.344576i | ||||
\(669\) | 32.8133 | − | 17.6507i | 1.26864 | − | 0.682417i | ||||
\(670\) | 8.32784 | − | 6.12817i | 0.321732 | − | 0.236752i | ||||
\(671\) | − | 2.21420i | − | 0.0854782i | ||||||
\(672\) | −0.366657 | − | 0.0110330i | −0.0141441 | − | 0.000425606i | ||||
\(673\) | − | 42.6809i | − | 1.64523i | −0.568601 | − | 0.822613i | \(-0.692515\pi\) | ||
0.568601 | − | 0.822613i | \(-0.307485\pi\) | |||||||
\(674\) | −1.37357 | + | 0.793033i | −0.0529081 | + | 0.0305465i | ||||
\(675\) | −1.42582 | + | 15.7566i | −0.0548799 | + | 0.606471i | ||||
\(676\) | 3.07798 | − | 5.33121i | 0.118384 | − | 0.205047i | ||||
\(677\) | 13.5495 | + | 23.4683i | 0.520748 | + | 0.901961i | 0.999709 | + | 0.0241254i | \(0.00768011\pi\) |
−0.478961 | + | 0.877836i | \(0.658987\pi\) | |||||||
\(678\) | −7.97812 | + | 4.29154i | −0.306398 | + | 0.164816i | ||||
\(679\) | −0.0764054 | −0.00293217 | ||||||||
\(680\) | 14.1642 | + | 8.17769i | 0.543172 | + | 0.313600i | ||||
\(681\) | −4.75064 | + | 7.68487i | −0.182045 | + | 0.294485i | ||||
\(682\) | −5.47533 | + | 3.16118i | −0.209661 | + | 0.121048i | ||||
\(683\) | 9.47329 | − | 16.4082i | 0.362485 | − | 0.627843i | −0.625884 | − | 0.779916i | \(-0.715262\pi\) |
0.988369 | + | 0.152073i | \(0.0485949\pi\) | |||||||
\(684\) | −15.3882 | + | 23.2957i | −0.588382 | + | 0.890734i | ||||
\(685\) | 23.7949 | 0.909158 | ||||||||
\(686\) | −0.418336 | − | 0.241526i | −0.0159721 | − | 0.00922152i | ||||
\(687\) | 2.73991 | + | 0.0824458i | 0.104534 | + | 0.00314550i | ||||
\(688\) | −1.02721 | − | 0.593061i | −0.0391621 | − | 0.0226102i | ||||
\(689\) | 3.76028 | + | 2.17100i | 0.143255 | + | 0.0827084i | ||||
\(690\) | −1.07403 | + | 1.73740i | −0.0408876 | + | 0.0661419i | ||||
\(691\) | 0.626034 | + | 1.08432i | 0.0238155 | + | 0.0412496i | 0.877688 | − | 0.479233i | \(-0.159085\pi\) |
−0.853872 | + | 0.520483i | \(0.825752\pi\) | |||||||
\(692\) | 9.36157i | 0.355873i | ||||||||
\(693\) | 0.265598 | − | 0.132729i | 0.0100892 | − | 0.00504195i | ||||
\(694\) | 21.0832 | 0.800306 | ||||||||
\(695\) | 0.756795i | 0.0287069i | ||||||||
\(696\) | −21.7487 | + | 35.1819i | −0.824384 | + | 1.33357i | ||||
\(697\) | − | 24.3459i | − | 0.922167i | ||||||
\(698\) | −12.8702 | + | 22.2918i | −0.487143 | + | 0.843757i | ||||
\(699\) | −17.3659 | − | 10.7353i | −0.656840 | − | 0.406046i | ||||
\(700\) | 0.119249 | + | 0.0688483i | 0.00450718 | + | 0.00260222i | ||||
\(701\) | 18.9154 | + | 32.7625i | 0.714427 | + | 1.23742i | 0.963180 | + | 0.268856i | \(0.0866457\pi\) |
−0.248754 | + | 0.968567i | \(0.580021\pi\) | |||||||
\(702\) | −5.50514 | − | 11.8982i | −0.207778 | − | 0.449069i | ||||
\(703\) | 30.8652 | + | 53.4601i | 1.16410 | + | 2.01628i | ||||
\(704\) | −7.08569 | − | 12.2728i | −0.267052 | − | 0.462547i | ||||
\(705\) | 3.76235 | − | 6.08617i | 0.141698 | − | 0.229219i | ||||
\(706\) | 5.31659 | + | 9.20861i | 0.200093 | + | 0.346571i | ||||
\(707\) | 0.183506 | + | 0.105947i | 0.00690144 | + | 0.00398455i | ||||
\(708\) | 0.869765 | − | 1.40697i | 0.0326878 | − | 0.0528774i | ||||
\(709\) | −15.2498 | + | 26.4134i | −0.572718 | + | 0.991977i | 0.423567 | + | 0.905865i | \(0.360778\pi\) |
−0.996285 | + | 0.0861124i | \(0.972556\pi\) | |||||||
\(710\) | 5.59540i | 0.209992i | ||||||||
\(711\) | 2.50612 | − | 41.6051i | 0.0939870 | − | 1.56031i | ||||
\(712\) | − | 34.1964i | − | 1.28157i | ||||||
\(713\) | 2.52174 | 0.0944400 | ||||||||
\(714\) | 0.00731037 | − | 0.242945i | 0.000273584 | − | 0.00909198i | ||||
\(715\) | 10.1187i | 0.378419i | ||||||||
\(716\) | −4.47202 | − | 7.74577i | −0.167127 | − | 0.289473i | ||||
\(717\) | 23.9879 | + | 14.8288i | 0.895844 | + | 0.553793i | ||||
\(718\) | −24.3048 | − | 14.0324i | −0.907048 | − | 0.523684i | ||||
\(719\) | −23.1515 | − | 13.3666i | −0.863407 | − | 0.498488i | 0.00174472 | − | 0.999998i | \(-0.499445\pi\) |
−0.865152 | + | 0.501510i | \(0.832778\pi\) | |||||||
\(720\) | 0.432170 | + | 0.864798i | 0.0161060 | + | 0.0322291i | ||||
\(721\) | −0.385506 | − | 0.222572i | −0.0143570 | − | 0.00828902i | ||||
\(722\) | −38.6549 | −1.43859 | ||||||||
\(723\) | 41.2649 | − | 22.1970i | 1.53466 | − | 0.825515i | ||||
\(724\) | 8.98999 | − | 15.5711i | 0.334110 | − | 0.578696i | ||||
\(725\) | 21.8922 | − | 12.6395i | 0.813055 | − | 0.469418i | ||||
\(726\) | −5.70531 | − | 3.52691i | −0.211744 | − | 0.130896i | ||||
\(727\) | 28.3723 | + | 16.3808i | 1.05227 | + | 0.607529i | 0.923284 | − | 0.384118i | \(-0.125494\pi\) |
0.128986 | + | 0.991646i | \(0.458828\pi\) | |||||||
\(728\) | −0.306855 | −0.0113728 | ||||||||
\(729\) | −26.5614 | − | 4.84681i | −0.983756 | − | 0.179511i | ||||
\(730\) | 2.86757 | + | 4.96677i | 0.106133 | + | 0.183828i | ||||
\(731\) | −10.4648 | + | 18.1255i | −0.387054 | + | 0.670397i | ||||
\(732\) | 0.830165 | + | 1.54330i | 0.0306838 | + | 0.0570421i | ||||
\(733\) | −17.4627 | + | 10.0821i | −0.645001 | + | 0.372391i | −0.786538 | − | 0.617542i | \(-0.788129\pi\) |
0.141538 | + | 0.989933i | \(0.454795\pi\) | |||||||
\(734\) | 30.8074i | 1.13712i | ||||||||
\(735\) | 0.509807 | − | 16.9423i | 0.0188045 | − | 0.624928i | ||||
\(736\) | 5.17606i | 0.190792i | ||||||||
\(737\) | 2.34495 | + | 21.0781i | 0.0863775 | + | 0.776422i | ||||
\(738\) | 8.94259 | − | 13.5379i | 0.329181 | − | 0.498338i | ||||
\(739\) | −0.562057 | − | 0.324504i | −0.0206756 | − | 0.0119371i | 0.489627 | − | 0.871932i | \(-0.337133\pi\) |
−0.510302 | + | 0.859995i | \(0.670466\pi\) | |||||||
\(740\) | −13.0007 | −0.477916 | ||||||||
\(741\) | −19.9947 | + | 32.3445i | −0.734525 | + | 1.18820i | ||||
\(742\) | 0.0536467i | 0.00196943i | ||||||||
\(743\) | 46.0127 | + | 26.5655i | 1.68804 | + | 0.974592i | 0.956015 | + | 0.293316i | \(0.0947590\pi\) |
0.732027 | + | 0.681275i | \(0.238574\pi\) | |||||||
\(744\) | 7.07581 | − | 11.4462i | 0.259412 | − | 0.419637i | ||||
\(745\) | 21.1444i | 0.774670i | ||||||||
\(746\) | 21.7974i | 0.798061i | ||||||||
\(747\) | 33.7319 | − | 16.8570i | 1.23418 | − | 0.616765i | ||||
\(748\) | −10.8032 | + | 6.23723i | −0.395004 | + | 0.228056i | ||||
\(749\) | −0.197588 | − | 0.342232i | −0.00721971 | − | 0.0125049i | ||||
\(750\) | 0.529389 | − | 17.5931i | 0.0193306 | − | 0.642410i | ||||
\(751\) | 19.6415 | 0.716727 | 0.358363 | − | 0.933582i | \(-0.383335\pi\) | ||||
0.358363 | + | 0.933582i | \(0.383335\pi\) | |||||||
\(752\) | 0.680863i | 0.0248285i | ||||||||
\(753\) | −1.42385 | + | 47.3186i | −0.0518880 | + | 1.72439i | ||||
\(754\) | −10.4737 | + | 18.1410i | −0.381430 | + | 0.660656i | ||||
\(755\) | −3.72874 | + | 6.45836i | −0.135703 | + | 0.235044i | ||||
\(756\) | −0.135359 | + | 0.192092i | −0.00492296 | + | 0.00698633i | ||||
\(757\) | −38.1120 | + | 22.0040i | −1.38521 | + | 0.799749i | −0.992770 | − | 0.120031i | \(-0.961701\pi\) |
−0.392435 | + | 0.919780i | \(0.628367\pi\) | |||||||
\(758\) | 4.02546 | − | 2.32410i | 0.146211 | − | 0.0844150i | ||||
\(759\) | −1.98474 | − | 3.68970i | −0.0720417 | − | 0.133928i | ||||
\(760\) | 15.8073 | − | 27.3791i | 0.573391 | − | 0.993143i | ||||
\(761\) | 17.4832i | 0.633764i | 0.948465 | + | 0.316882i | \(0.102636\pi\) | ||||
−0.948465 | + | 0.316882i | \(0.897364\pi\) | |||||||
\(762\) | −0.847743 | + | 0.456013i | −0.0307105 | + | 0.0165196i | ||||
\(763\) | 0.329232 | + | 0.570246i | 0.0119190 | + | 0.0206443i | ||||
\(764\) | −20.9419 | −0.757650 | ||||||||
\(765\) | 15.2597 | − | 7.62580i | 0.551715 | − | 0.275711i | ||||
\(766\) | −9.52316 | − | 16.4946i | −0.344086 | − | 0.595974i | ||||
\(767\) | 1.12644 | − | 1.95104i | 0.0406732 | − | 0.0704481i | ||||
\(768\) | 24.2981 | + | 15.0206i | 0.876782 | + | 0.542010i | ||||
\(769\) | −4.59330 | + | 2.65194i | −0.165638 | + | 0.0956314i | −0.580528 | − | 0.814241i | \(-0.697154\pi\) |
0.414889 | + | 0.909872i | \(0.363820\pi\) | |||||||
\(770\) | −0.108270 | + | 0.0625100i | −0.00390180 | + | 0.00225270i | ||||
\(771\) | −2.15779 | + | 3.49055i | −0.0777108 | + | 0.125709i | ||||
\(772\) | −4.91330 | − | 8.51009i | −0.176834 | − | 0.306285i | ||||
\(773\) | 4.49297 | − | 2.59402i | 0.161601 | − | 0.0933003i | −0.417019 | − | 0.908898i | \(-0.636925\pi\) |
0.578619 | + | 0.815598i | \(0.303592\pi\) | |||||||
\(774\) | −12.4769 | + | 6.23513i | −0.448472 | + | 0.224117i | ||||
\(775\) | −7.12247 | + | 4.11216i | −0.255847 | + | 0.147713i | ||||
\(776\) | 4.98236 | + | 2.87657i | 0.178856 | + | 0.103263i | ||||
\(777\) | 0.246137 | + | 0.457576i | 0.00883010 | + | 0.0164154i | ||||
\(778\) | −14.2730 | + | 8.24050i | −0.511710 | + | 0.295436i | ||||
\(779\) | −47.0601 | −1.68610 | ||||||||
\(780\) | −3.79379 | − | 7.05278i | −0.135839 | − | 0.252530i | ||||
\(781\) | −9.93942 | − | 5.73853i | −0.355660 | − | 0.205341i | ||||
\(782\) | −3.42963 | −0.122643 | ||||||||
\(783\) | 18.1156 | + | 39.1531i | 0.647399 | + | 1.39922i | ||||
\(784\) | 0.806451 | + | 1.39681i | 0.0288018 | + | 0.0498862i | ||||
\(785\) | 8.53508 | − | 14.7832i | 0.304630 | − | 0.527635i | ||||
\(786\) | 16.5819 | + | 0.498960i | 0.591456 | + | 0.0177973i | ||||
\(787\) | −10.0302 | − | 5.79097i | −0.357540 | − | 0.206426i | 0.310461 | − | 0.950586i | \(-0.399516\pi\) |
−0.668001 | + | 0.744160i | \(0.732850\pi\) | |||||||
\(788\) | −16.1719 | + | 28.0106i | −0.576101 | + | 0.997837i | ||||
\(789\) | −21.9738 | − | 40.8499i | −0.782287 | − | 1.45430i | ||||
\(790\) | 17.5501i | 0.624403i | ||||||||
\(791\) | 0.191531 | + | 0.110580i | 0.00681006 | + | 0.00393179i | ||||
\(792\) | −22.3166 | − | 1.34426i | −0.792986 | − | 0.0477662i | ||||
\(793\) | 1.19338 | + | 2.06700i | 0.0423783 | + | 0.0734013i | ||||
\(794\) | −1.83447 | + | 3.17739i | −0.0651028 | + | 0.112761i | ||||
\(795\) | −3.31595 | + | 1.78370i | −0.117605 | + | 0.0632612i | ||||
\(796\) | 2.07448 | 0.0735280 | ||||||||
\(797\) | −1.04960 | + | 0.605985i | −0.0371786 | + | 0.0214651i | −0.518474 | − | 0.855093i | \(-0.673500\pi\) |
0.481295 | + | 0.876558i | \(0.340166\pi\) | |||||||
\(798\) | −0.469607 | − | 0.0141308i | −0.0166239 | − | 0.000500225i | ||||
\(799\) | 12.0141 | 0.425027 | ||||||||
\(800\) | −8.44052 | − | 14.6194i | −0.298417 | − | 0.516874i | ||||
\(801\) | −29.7609 | − | 19.6588i | −1.05155 | − | 0.694610i | ||||
\(802\) | −13.7780 | + | 23.8642i | −0.486518 | + | 0.842673i | ||||
\(803\) | −11.7637 | −0.415131 | ||||||||
\(804\) | −9.53721 | − | 13.8123i | −0.336351 | − | 0.487123i | ||||
\(805\) | 0.0498655 | 0.00175753 | ||||||||
\(806\) | 3.40755 | − | 5.90205i | 0.120026 | − | 0.207891i | ||||
\(807\) | −15.1674 | − | 28.1967i | −0.533918 | − | 0.992570i | ||||
\(808\) | −7.97754 | − | 13.8175i | −0.280649 | − | 0.486098i | ||||
\(809\) | −24.7250 | −0.869285 | −0.434642 | − | 0.900603i | \(-0.643125\pi\) | ||||
−0.434642 | + | 0.900603i | \(0.643125\pi\) | |||||||
\(810\) | 11.2864 | + | 1.36465i | 0.396565 | + | 0.0479490i | ||||
\(811\) | −17.5965 | + | 10.1594i | −0.617898 | + | 0.356743i | −0.776050 | − | 0.630671i | \(-0.782780\pi\) |
0.158152 | + | 0.987415i | \(0.449446\pi\) | |||||||
\(812\) | 0.375474 | 0.0131766 | ||||||||
\(813\) | 7.32014 | + | 13.6084i | 0.256729 | + | 0.477267i | ||||
\(814\) | −9.19053 | + | 15.9185i | −0.322128 | + | 0.557942i | ||||
\(815\) | −8.34386 | − | 14.4520i | −0.292273 | − | 0.506231i | ||||
\(816\) | −0.853553 | + | 1.38075i | −0.0298803 | + | 0.0483360i | ||||
\(817\) | 35.0363 | + | 20.2282i | 1.22576 | + | 0.707695i | ||||
\(818\) | 27.2903i | 0.954183i | ||||||||
\(819\) | −0.176405 | + | 0.267054i | −0.00616408 | + | 0.00933161i | ||||
\(820\) | 4.95555 | − | 8.58326i | 0.173055 | − | 0.299740i | ||||
\(821\) | −20.1642 | − | 11.6418i | −0.703736 | − | 0.406302i | 0.105001 | − | 0.994472i | \(-0.466515\pi\) |
−0.808737 | + | 0.588170i | \(0.799849\pi\) | |||||||
\(822\) | −0.800836 | + | 26.6141i | −0.0279324 | + | 0.928272i | ||||
\(823\) | 20.6760 | − | 35.8119i | 0.720720 | − | 1.24832i | −0.239992 | − | 0.970775i | \(-0.577145\pi\) |
0.960712 | − | 0.277548i | \(-0.0895219\pi\) | |||||||
\(824\) | 16.7591 | + | 29.0276i | 0.583831 | + | 1.01123i | ||||
\(825\) | 11.6225 | + | 7.18480i | 0.404644 | + | 0.250143i | ||||
\(826\) | 0.0278349 | 0.000968501 | ||||||||
\(827\) | 5.20647 | + | 3.00596i | 0.181047 | + | 0.104527i | 0.587784 | − | 0.809018i | \(-0.300000\pi\) |
−0.406738 | + | 0.913545i | \(0.633334\pi\) | |||||||
\(828\) | 2.76674 | + | 1.82760i | 0.0961510 | + | 0.0635134i | ||||
\(829\) | −20.2902 | −0.704709 | −0.352355 | − | 0.935867i | \(-0.614619\pi\) | ||||
−0.352355 | + | 0.935867i | \(0.614619\pi\) | |||||||
\(830\) | −13.7507 | + | 7.93898i | −0.477294 | + | 0.275566i | ||||
\(831\) | 11.4567 | − | 6.16274i | 0.397429 | − | 0.213783i | ||||
\(832\) | 13.2293 | + | 7.63791i | 0.458642 | + | 0.264797i | ||||
\(833\) | 24.6473 | − | 14.2301i | 0.853979 | − | 0.493045i | ||||
\(834\) | −0.846457 | − | 0.0254705i | −0.0293104 | − | 0.000881970i | ||||
\(835\) | −18.2184 | + | 10.5184i | −0.630475 | + | 0.364005i | ||||
\(836\) | 12.0564 | + | 20.8824i | 0.416980 | + | 0.722231i | ||||
\(837\) | −5.89379 | − | 12.7382i | −0.203719 | − | 0.440297i | ||||
\(838\) | −12.4186 | + | 7.16989i | −0.428994 | + | 0.247680i | ||||
\(839\) | −11.4394 | + | 6.60453i | −0.394931 | + | 0.228014i | −0.684295 | − | 0.729206i | \(-0.739890\pi\) |
0.289363 | + | 0.957219i | \(0.406556\pi\) | |||||||
\(840\) | 0.139919 | − | 0.226340i | 0.00482765 | − | 0.00780946i | ||||
\(841\) | 19.9656 | − | 34.5814i | 0.688468 | − | 1.19246i | ||||
\(842\) | −6.57738 | − | 11.3924i | −0.226672 | − | 0.392607i | ||||
\(843\) | 1.18072 | − | 39.2388i | 0.0406662 | − | 1.35145i | ||||
\(844\) | −30.3474 | −1.04460 | ||||||||
\(845\) | 3.63532 | + | 6.29655i | 0.125059 | + | 0.216608i | ||||
\(846\) | 6.68061 | + | 4.41294i | 0.229684 | + | 0.151720i | ||||
\(847\) | 0.163749i | 0.00562648i | ||||||||
\(848\) | 0.179144 | − | 0.310286i | 0.00615182 | − | 0.0106553i | ||||
\(849\) | −9.36910 | + | 5.03977i | −0.321547 | + | 0.172965i | ||||
\(850\) | 9.68673 | − | 5.59263i | 0.332252 | − | 0.191826i | ||||
\(851\) | 6.34925 | − | 3.66574i | 0.217649 | − | 0.125660i | ||||
\(852\) | 9.07934 | + | 0.273204i | 0.311053 | + | 0.00935980i | ||||
\(853\) | −10.2045 | + | 17.6746i | −0.349394 | + | 0.605168i | −0.986142 | − | 0.165904i | \(-0.946946\pi\) |
0.636748 | + | 0.771072i | \(0.280279\pi\) | |||||||
\(854\) | −0.0147446 | + | 0.0255384i | −0.000504550 | + | 0.000873907i | ||||
\(855\) | −14.7405 | − | 29.4966i | −0.504115 | − | 1.00876i | ||||
\(856\) | 29.7557i | 1.01703i | ||||||||
\(857\) | 42.8545 | 1.46388 | 0.731942 | − | 0.681367i | \(-0.238614\pi\) | ||||
0.731942 | + | 0.681367i | \(0.238614\pi\) | |||||||
\(858\) | −11.3175 | − | 0.340553i | −0.386375 | − | 0.0116263i | ||||
\(859\) | 14.9176 | + | 25.8380i | 0.508980 | + | 0.881580i | 0.999946 | + | 0.0104010i | \(0.00331081\pi\) |
−0.490965 | + | 0.871179i | \(0.663356\pi\) | |||||||
\(860\) | −7.37881 | + | 4.26016i | −0.251615 | + | 0.145270i | ||||
\(861\) | −0.395919 | − | 0.0119135i | −0.0134929 | − | 0.000406010i | ||||
\(862\) | 19.2039i | 0.654089i | ||||||||
\(863\) | 13.9450i | 0.474693i | 0.971425 | + | 0.237346i | \(0.0762777\pi\) | ||||
−0.971425 | + | 0.237346i | \(0.923722\pi\) | |||||||
\(864\) | 26.1461 | − | 12.0974i | 0.889508 | − | 0.411563i | ||||
\(865\) | −9.57538 | − | 5.52835i | −0.325573 | − | 0.187970i | ||||
\(866\) | 13.8368i | 0.470193i | ||||||||
\(867\) | −0.681794 | − | 0.421472i | −0.0231550 | − | 0.0143139i | ||||
\(868\) | −0.122158 | −0.00414631 | ||||||||
\(869\) | −31.1751 | − | 17.9990i | −1.05754 | − | 0.610573i | ||||
\(870\) | −8.60523 | − | 15.9974i | −0.291744 | − | 0.542362i | ||||
\(871\) | −13.5495 | − | 18.4130i | −0.459107 | − | 0.623900i | ||||
\(872\) | − | 49.5806i | − | 1.67901i | ||||||
\(873\) | 5.36771 | − | 2.68243i | 0.181670 | − | 0.0907866i | ||||
\(874\) | 6.62940i | 0.224243i | ||||||||
\(875\) | −0.372128 | + | 0.214848i | −0.0125802 | + | 0.00726319i | ||||
\(876\) | 8.19930 | − | 4.41052i | 0.277029 | − | 0.149018i | ||||
\(877\) | −15.0017 | + | 25.9837i | −0.506571 | + | 0.877407i | 0.493400 | + | 0.869803i | \(0.335754\pi\) |
−0.999971 | + | 0.00760452i | \(0.997579\pi\) | |||||||
\(878\) | 7.08017 | + | 12.2632i | 0.238944 | + | 0.413863i | ||||
\(879\) | 14.8300 | + | 27.5695i | 0.500204 | + | 0.929895i | ||||
\(880\) | 0.834964 | 0.0281466 | ||||||||
\(881\) | 8.84870 | + | 5.10880i | 0.298120 | + | 0.172120i | 0.641598 | − | 0.767041i | \(-0.278272\pi\) |
−0.343478 | + | 0.939161i | \(0.611605\pi\) | |||||||
\(882\) | 18.9324 | + | 1.14041i | 0.637489 | + | 0.0383997i | ||||
\(883\) | −25.0137 | + | 14.4417i | −0.841778 | + | 0.486001i | −0.857868 | − | 0.513870i | \(-0.828211\pi\) |
0.0160901 | + | 0.999871i | \(0.494878\pi\) | |||||||
\(884\) | 6.72333 | − | 11.6452i | 0.226130 | − | 0.391669i | ||||
\(885\) | 0.925482 | + | 1.72050i | 0.0311097 | + | 0.0578340i | ||||
\(886\) | 26.8724 | 0.902796 | ||||||||
\(887\) | −45.3843 | − | 26.2026i | −1.52386 | − | 0.879799i | −0.999601 | − | 0.0282371i | \(-0.991011\pi\) |
−0.524255 | − | 0.851562i | \(-0.675656\pi\) | |||||||
\(888\) | 1.17670 | − | 39.1050i | 0.0394874 | − | 1.31228i | ||||
\(889\) | 0.0203518 | + | 0.0117501i | 0.000682578 | + | 0.000394086i | ||||
\(890\) | 13.0062 | + | 7.50913i | 0.435969 | + | 0.251707i | ||||
\(891\) | −13.9992 | + | 18.6492i | −0.468992 | + | 0.624771i | ||||
\(892\) | 12.7341 | + | 22.0562i | 0.426371 | + | 0.738496i | ||||
\(893\) | − | 23.2229i | − | 0.777126i | ||||||
\(894\) | −23.6495 | − | 0.711629i | −0.790957 | − | 0.0238004i | ||||
\(895\) | 10.5636 | 0.353101 | ||||||||
\(896\) | − | 0.234833i | − | 0.00784522i | ||||||
\(897\) | 3.84143 | + | 2.37470i | 0.128262 | + | 0.0792888i | ||||
\(898\) | − | 26.9256i | − | 0.898519i | ||||||
\(899\) | −11.2131 | + | 19.4217i | −0.373979 | + | 0.647751i | ||||
\(900\) | −10.7947 | − | 0.650229i | −0.359823 | − | 0.0216743i | ||||
\(901\) | −5.47511 | − | 3.16106i | −0.182402 | − | 0.105310i | ||||
\(902\) | −7.00639 | − | 12.1354i | −0.233287 | − | 0.404066i | ||||
\(903\) | 0.289641 | + | 0.179050i | 0.00963864 | + | 0.00595842i | ||||
\(904\) | −8.32642 | − | 14.4218i | −0.276933 | − | 0.479662i | ||||
\(905\) | 10.6178 | + | 18.3906i | 0.352949 | + | 0.611326i | ||||
\(906\) | −7.09803 | − | 4.38786i | −0.235816 | − | 0.145777i | ||||
\(907\) | 7.11942 | + | 12.3312i | 0.236396 | + | 0.409450i | 0.959678 | − | 0.281103i | \(-0.0907003\pi\) |
−0.723281 | + | 0.690554i | \(0.757367\pi\) | |||||||
\(908\) | −5.34821 | − | 3.08779i | −0.177487 | − | 0.102472i | ||||
\(909\) | −16.6114 | − | 1.00060i | −0.550965 | − | 0.0331879i | ||||
\(910\) | 0.0673817 | − | 0.116709i | 0.00223368 | − | 0.00386885i | ||||
\(911\) | − | 52.2612i | − | 1.73149i | −0.500485 | − | 0.865745i | \(-0.666845\pi\) | ||
0.500485 | − | 0.865745i | \(-0.333155\pi\) | |||||||
\(912\) | 2.66896 | + | 1.64990i | 0.0883782 | + | 0.0546337i | ||||
\(913\) | − | 32.5682i | − | 1.07785i | ||||||
\(914\) | −34.6041 | −1.14460 | ||||||||
\(915\) | −2.06879 | − | 0.0622515i | −0.0683922 | − | 0.00205797i | ||||
\(916\) | 1.87369i | 0.0619083i | ||||||||
\(917\) | −0.202499 | − | 0.350738i | −0.00668710 | − | 0.0115824i | ||||
\(918\) | 8.01570 | + | 17.3242i | 0.264557 | + | 0.571785i | ||||
\(919\) | −2.70804 | − | 1.56349i | −0.0893301 | − | 0.0515748i | 0.454670 | − | 0.890660i | \(-0.349757\pi\) |
−0.544000 | + | 0.839085i | \(0.683091\pi\) | |||||||
\(920\) | −3.25171 | − | 1.87737i | −0.107206 | − | 0.0618952i | ||||
\(921\) | −0.0208537 | + | 0.693029i | −0.000687154 | + | 0.0228361i | ||||
\(922\) | 31.1810 | + | 18.0024i | 1.02689 | + | 0.592877i | ||||
\(923\) | 12.3715 | 0.407214 | ||||||||
\(924\) | 0.0961448 | + | 0.178736i | 0.00316293 | + | 0.00587999i | ||||
\(925\) | −11.9553 | + | 20.7072i | −0.393088 | + | 0.680849i | ||||
\(926\) | 10.2455 | − | 5.91526i | 0.336689 | − | 0.194387i | ||||
\(927\) | 34.8970 | + | 2.10205i | 1.14617 | + | 0.0690405i | ||||
\(928\) | −39.8645 | − | 23.0158i | −1.30862 | − | 0.755531i | ||||
\(929\) | 40.8304 | 1.33960 | 0.669801 | − | 0.742540i | \(-0.266379\pi\) | ||||
0.669801 | + | 0.742540i | \(0.266379\pi\) | |||||||
\(930\) | 2.79965 | + | 5.20464i | 0.0918042 | + | 0.170667i | ||||
\(931\) | −27.5065 | − | 47.6427i | −0.901490 | − | 1.56143i | ||||
\(932\) | 6.97766 | − | 12.0857i | 0.228561 | − | 0.395879i | ||||
\(933\) | −17.2637 | + | 9.28639i | −0.565188 | + | 0.304023i | ||||
\(934\) | −26.8972 | + | 15.5291i | −0.880102 | + | 0.508127i | ||||
\(935\) | − | 14.7333i | − | 0.481829i | ||||||
\(936\) | 21.5575 | − | 10.7730i | 0.704629 | − | 0.352128i | ||||
\(937\) | 25.6849i | 0.839089i | 0.907735 | + | 0.419545i | \(0.137810\pi\) | ||||
−0.907735 | + | 0.419545i | \(0.862190\pi\) | |||||||
\(938\) | 0.113315 | − | 0.258729i | 0.00369987 | − | 0.00844779i | ||||
\(939\) | 16.9016 | + | 31.4205i | 0.551562 | + | 1.02537i | ||||
\(940\) | 4.23561 | + | 2.44543i | 0.138150 | + | 0.0797612i | ||||
\(941\) | 26.9904 | 0.879861 | 0.439930 | − | 0.898032i | \(-0.355003\pi\) | ||||
0.439930 | + | 0.898032i | \(0.355003\pi\) | |||||||
\(942\) | 16.2474 | + | 10.0438i | 0.529368 | + | 0.327245i | ||||
\(943\) | 5.58915i | 0.182008i | ||||||||
\(944\) | −0.160994 | − | 0.0929498i | −0.00523990 | − | 0.00302526i | ||||
\(945\) | −0.116545 | − | 0.251888i | −0.00379122 | − | 0.00819392i | ||||
\(946\) | 12.0464i | 0.391664i | ||||||||
\(947\) | − | 24.5270i | − | 0.797021i | −0.917164 | − | 0.398511i | \(-0.869527\pi\) | ||
0.917164 | − | 0.398511i | \(-0.130473\pi\) | |||||||
\(948\) | 28.4775 | + | 0.856907i | 0.924905 | + | 0.0278310i | ||||
\(949\) | 10.9816 | − | 6.34023i | 0.356478 | − | 0.205813i | ||||
\(950\) | −10.8104 | − | 18.7242i | −0.350737 | − | 0.607494i | ||||
\(951\) | 23.0116 | + | 0.692436i | 0.746203 | + | 0.0224538i | ||||
\(952\) | 0.446793 | 0.0144806 | ||||||||
\(953\) | 3.75142i | 0.121520i | 0.998152 | + | 0.0607602i | \(0.0193525\pi\) | ||||
−0.998152 | + | 0.0607602i | \(0.980648\pi\) | |||||||
\(954\) | −1.88342 | − | 3.76884i | −0.0609780 | − | 0.122021i | ||||
\(955\) | 12.3669 | − | 21.4202i | 0.400185 | − | 0.693140i | ||||
\(956\) | −9.63837 | + | 16.6941i | −0.311727 | + | 0.539927i | ||||
\(957\) | 37.2424 | + | 1.12065i | 1.20387 | + | 0.0362254i | ||||
\(958\) | 27.8989 | − | 16.1075i | 0.901373 | − | 0.520408i | ||||
\(959\) | 0.562938 | − | 0.325013i | 0.0181782 | − | 0.0104952i | ||||
\(960\) | −11.6660 | + | 6.27533i | −0.376520 | + | 0.202535i | ||||
\(961\) | −11.8519 | + | 20.5281i | −0.382319 | + | 0.662195i | ||||
\(962\) | − | 19.8136i | − | 0.638816i | ||||||
\(963\) | 25.8962 | + | 17.1060i | 0.834494 | + | 0.551232i | ||||
\(964\) | 16.0140 | + | 27.7371i | 0.515777 | + | 0.893353i | ||||
\(965\) | 11.6059 | 0.373608 | ||||||||
\(966\) | −0.00167826 | + | 0.0557734i | −5.39972e−5 | + | 0.00179448i | ||||
\(967\) | 9.76800 | + | 16.9187i | 0.314118 | + | 0.544068i | 0.979250 | − | 0.202658i | \(-0.0649580\pi\) |
−0.665132 | + | 0.746726i | \(0.731625\pi\) | |||||||
\(968\) | 6.16494 | − | 10.6780i | 0.198149 | − | 0.343203i | ||||
\(969\) | 29.1131 | − | 47.0948i | 0.935248 | − | 1.51290i | ||||
\(970\) | −2.18813 | + | 1.26332i | −0.0702568 | + | 0.0405628i | ||||
\(971\) | −0.278645 | + | 0.160875i | −0.00894213 | + | 0.00516274i | −0.504464 | − | 0.863432i | \(-0.668310\pi\) |
0.495522 | + | 0.868595i | \(0.334977\pi\) | |||||||
\(972\) | 2.76542 | − | 18.2472i | 0.0887008 | − | 0.585280i | ||||
\(973\) | 0.0103370 | + | 0.0179042i | 0.000331388 | + | 0.000573981i | ||||
\(974\) | 6.34067 | − | 3.66079i | 0.203168 | − | 0.117299i | ||||
\(975\) | −14.7222 | − | 0.443002i | −0.471488 | − | 0.0141874i | ||||
\(976\) | 0.170562 | − | 0.0984741i | 0.00545956 | − | 0.00315208i | ||||
\(977\) | 50.2425 | + | 29.0075i | 1.60740 | + | 0.928033i | 0.989949 | + | 0.141423i | \(0.0451677\pi\) |
0.617450 | + | 0.786610i | \(0.288166\pi\) | |||||||
\(978\) | 16.4450 | − | 8.84602i | 0.525854 | − | 0.282864i | ||||
\(979\) | −26.6778 | + | 15.4024i | −0.852625 | + | 0.492263i | ||||
\(980\) | 11.5860 | 0.370102 | ||||||||
\(981\) | −43.1496 | − | 28.5029i | −1.37766 | − | 0.910027i | ||||
\(982\) | 1.78860 | + | 1.03265i | 0.0570766 | + | 0.0329532i | ||||
\(983\) | −23.9930 | −0.765258 | −0.382629 | − | 0.923902i | \(-0.624981\pi\) | ||||
−0.382629 | + | 0.923902i | \(0.624981\pi\) | |||||||
\(984\) | 25.3691 | + | 15.6827i | 0.808739 | + | 0.499946i | ||||
\(985\) | −19.1003 | − | 33.0826i | −0.608585 | − | 1.05410i | ||||
\(986\) | 15.2501 | − | 26.4140i | 0.485663 | − | 0.841193i | ||||
\(987\) | 0.00587899 | − | 0.195376i | 0.000187130 | − | 0.00621888i | ||||
\(988\) | −22.5098 | − | 12.9961i | −0.716133 | − | 0.413460i | ||||
\(989\) | 2.40243 | − | 4.16112i | 0.0763927 | − | 0.132316i | ||||
\(990\) | 5.41173 | − | 8.19266i | 0.171996 | − | 0.260380i | ||||
\(991\) | − | 7.04730i | − | 0.223865i | −0.993716 | − | 0.111932i | \(-0.964296\pi\) | ||
0.993716 | − | 0.111932i | \(-0.0357040\pi\) | |||||||
\(992\) | 12.9697 | + | 7.48804i | 0.411787 | + | 0.237745i | ||||
\(993\) | 29.7863 | − | 48.1839i | 0.945240 | − | 1.52907i | ||||
\(994\) | 0.0764270 | + | 0.132376i | 0.00242412 | + | 0.00419870i | ||||
\(995\) | −1.22506 | + | 2.12186i | −0.0388369 | + | 0.0672675i | ||||
\(996\) | 12.2107 | + | 22.7001i | 0.386911 | + | 0.719280i | ||||
\(997\) | 56.4947 | 1.78920 | 0.894602 | − | 0.446863i | \(-0.147459\pi\) | ||||
0.894602 | + | 0.446863i | \(0.147459\pi\) | |||||||
\(998\) | −17.5345 | + | 10.1236i | −0.555045 | + | 0.320455i | ||||
\(999\) | −33.3563 | − | 23.5047i | −1.05535 | − | 0.743657i |
(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 | 201.2.f.b.38.13 | yes | 40 | |
3.2 | odd | 2 | inner | 201.2.f.b.38.8 | ✓ | 40 | |
67.30 | odd | 6 | inner | 201.2.f.b.164.8 | yes | 40 | |
201.164 | even | 6 | inner | 201.2.f.b.164.13 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.f.b.38.8 | ✓ | 40 | 3.2 | odd | 2 | inner | |
201.2.f.b.38.13 | yes | 40 | 1.1 | even | 1 | trivial | |
201.2.f.b.164.8 | yes | 40 | 67.30 | odd | 6 | inner | |
201.2.f.b.164.13 | yes | 40 | 201.164 | even | 6 | inner |