Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.18 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.18 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41328 | − | 0.0512684i | 0.999343 | − | 0.0362522i | ||||
\(3\) | 0.543291 | − | 1.64464i | 0.313669 | − | 0.949532i | ||||
\(4\) | 1.99474 | − | 0.144914i | 0.997372 | − | 0.0724568i | ||||
\(5\) | 0.430214 | + | 1.60558i | 0.192397 | + | 0.718037i | 0.992925 | + | 0.118741i | \(0.0378859\pi\) |
−0.800528 | + | 0.599296i | \(0.795447\pi\) | |||||||
\(6\) | 0.683506 | − | 2.35219i | 0.279040 | − | 0.960279i | ||||
\(7\) | −3.62762 | + | 2.09441i | −1.37111 | + | 0.791611i | −0.991068 | − | 0.133358i | \(-0.957424\pi\) |
−0.380043 | + | 0.924969i | \(0.624091\pi\) | |||||||
\(8\) | 2.81171 | − | 0.307071i | 0.994089 | − | 0.108566i | ||||
\(9\) | −2.40967 | − | 1.78703i | −0.803223 | − | 0.595678i | ||||
\(10\) | 0.690330 | + | 2.24708i | 0.218301 | + | 0.710590i | ||||
\(11\) | −4.63241 | − | 1.24125i | −1.39673 | − | 0.374251i | −0.519557 | − | 0.854436i | \(-0.673903\pi\) |
−0.877168 | + | 0.480184i | \(0.840570\pi\) | |||||||
\(12\) | 0.845395 | − | 3.35936i | 0.244045 | − | 0.969764i | ||||
\(13\) | 3.28323 | − | 0.879738i | 0.910603 | − | 0.243995i | 0.227039 | − | 0.973886i | \(-0.427096\pi\) |
0.683564 | + | 0.729890i | \(0.260429\pi\) | |||||||
\(14\) | −5.01948 | + | 3.14597i | −1.34151 | + | 0.840797i | ||||
\(15\) | 2.87433 | + | 0.164751i | 0.742148 | + | 0.0425384i | ||||
\(16\) | 3.95800 | − | 0.578131i | 0.989500 | − | 0.144533i | ||||
\(17\) | −2.14142 | −0.519370 | −0.259685 | − | 0.965693i | \(-0.583619\pi\) | ||||
−0.259685 | + | 0.965693i | \(0.583619\pi\) | |||||||
\(18\) | −3.49717 | − | 2.40205i | −0.824290 | − | 0.566168i | ||||
\(19\) | 1.03156 | + | 1.03156i | 0.236656 | + | 0.236656i | 0.815464 | − | 0.578808i | \(-0.196482\pi\) |
−0.578808 | + | 0.815464i | \(0.696482\pi\) | |||||||
\(20\) | 1.09084 | + | 3.14037i | 0.243918 | + | 0.702209i | ||||
\(21\) | 1.47369 | + | 7.10399i | 0.321585 | + | 1.55022i | ||||
\(22\) | −6.61055 | − | 1.51674i | −1.40937 | − | 0.323371i | ||||
\(23\) | 0.405884 | + | 0.234337i | 0.0846327 | + | 0.0488627i | 0.541719 | − | 0.840560i | \(-0.317774\pi\) |
−0.457086 | + | 0.889422i | \(0.651107\pi\) | |||||||
\(24\) | 1.02255 | − | 4.79107i | 0.208728 | − | 0.977974i | ||||
\(25\) | 1.93733 | − | 1.11852i | 0.387465 | − | 0.223703i | ||||
\(26\) | 4.59503 | − | 1.41164i | 0.901159 | − | 0.276846i | ||||
\(27\) | −4.24818 | + | 2.99216i | −0.817562 | + | 0.575841i | ||||
\(28\) | −6.93266 | + | 4.70349i | −1.31015 | + | 0.888877i | ||||
\(29\) | −1.75557 | + | 6.55186i | −0.326000 | + | 1.21665i | 0.587302 | + | 0.809368i | \(0.300190\pi\) |
−0.913302 | + | 0.407282i | \(0.866477\pi\) | |||||||
\(30\) | 4.07069 | + | 0.0854774i | 0.743203 | + | 0.0156060i | ||||
\(31\) | 3.18054 | − | 5.50886i | 0.571242 | − | 0.989421i | −0.425196 | − | 0.905101i | \(-0.639795\pi\) |
0.996439 | − | 0.0843198i | \(-0.0268717\pi\) | |||||||
\(32\) | 5.56414 | − | 1.01998i | 0.983610 | − | 0.180309i | ||||
\(33\) | −4.55816 | + | 6.94428i | −0.793473 | + | 1.20884i | ||||
\(34\) | −3.02643 | + | 0.109787i | −0.519028 | + | 0.0188283i | ||||
\(35\) | −4.92339 | − | 4.92339i | −0.832204 | − | 0.832204i | ||||
\(36\) | −5.06564 | − | 3.21548i | −0.844273 | − | 0.535913i | ||||
\(37\) | −0.728237 | + | 0.728237i | −0.119721 | + | 0.119721i | −0.764429 | − | 0.644708i | \(-0.776979\pi\) |
0.644708 | + | 0.764429i | \(0.276979\pi\) | |||||||
\(38\) | 1.51077 | + | 1.40500i | 0.245080 | + | 0.227921i | ||||
\(39\) | 0.336896 | − | 5.87767i | 0.0539466 | − | 0.941181i | ||||
\(40\) | 1.70266 | + | 4.38232i | 0.269215 | + | 0.692905i | ||||
\(41\) | −2.52351 | − | 1.45695i | −0.394105 | − | 0.227537i | 0.289832 | − | 0.957078i | \(-0.406401\pi\) |
−0.683937 | + | 0.729541i | \(0.739734\pi\) | |||||||
\(42\) | 2.44695 | + | 9.96440i | 0.377573 | + | 1.53754i | ||||
\(43\) | 10.6289 | + | 2.84802i | 1.62090 | + | 0.434318i | 0.951265 | − | 0.308374i | \(-0.0997848\pi\) |
0.669633 | + | 0.742692i | \(0.266451\pi\) | |||||||
\(44\) | −9.42035 | − | 1.80468i | −1.42017 | − | 0.272066i | ||||
\(45\) | 1.83255 | − | 4.63772i | 0.273181 | − | 0.691351i | ||||
\(46\) | 0.585644 | + | 0.310376i | 0.0863485 | + | 0.0457625i | ||||
\(47\) | −4.61716 | − | 7.99715i | −0.673482 | − | 1.16650i | −0.976910 | − | 0.213650i | \(-0.931465\pi\) |
0.303429 | − | 0.952854i | \(-0.401869\pi\) | |||||||
\(48\) | 1.19953 | − | 6.82357i | 0.173137 | − | 0.984898i | ||||
\(49\) | 5.27308 | − | 9.13324i | 0.753297 | − | 1.30475i | ||||
\(50\) | 2.68065 | − | 1.68010i | 0.379101 | − | 0.237603i | ||||
\(51\) | −1.16341 | + | 3.52186i | −0.162910 | + | 0.493159i | ||||
\(52\) | 6.42171 | − | 2.23063i | 0.890530 | − | 0.309333i | ||||
\(53\) | 1.17892 | − | 1.17892i | 0.161937 | − | 0.161937i | −0.621487 | − | 0.783424i | \(-0.713471\pi\) |
0.783424 | + | 0.621487i | \(0.213471\pi\) | |||||||
\(54\) | −5.85048 | + | 4.44656i | −0.796149 | + | 0.605101i | ||||
\(55\) | − | 7.97171i | − | 1.07491i | ||||||
\(56\) | −9.55667 | + | 7.00280i | −1.27706 | + | 0.935788i | ||||
\(57\) | 2.25698 | − | 1.13611i | 0.298944 | − | 0.150481i | ||||
\(58\) | −2.14521 | + | 9.34965i | −0.281680 | + | 1.22767i | ||||
\(59\) | 0.397061 | + | 1.48185i | 0.0516930 | + | 0.192921i | 0.986944 | − | 0.161065i | \(-0.0514928\pi\) |
−0.935251 | + | 0.353986i | \(0.884826\pi\) | |||||||
\(60\) | 5.75742 | − | 0.0878938i | 0.743280 | − | 0.0113470i | ||||
\(61\) | −2.01826 | + | 7.53224i | −0.258411 | + | 0.964404i | 0.707749 | + | 0.706464i | \(0.249711\pi\) |
−0.966161 | + | 0.257941i | \(0.916956\pi\) | |||||||
\(62\) | 4.21258 | − | 7.94865i | 0.534998 | − | 1.00948i | ||||
\(63\) | 12.4841 | + | 1.43585i | 1.57285 | + | 0.180900i | ||||
\(64\) | 7.81141 | − | 1.72679i | 0.976427 | − | 0.215849i | ||||
\(65\) | 2.82498 | + | 4.89300i | 0.350395 | + | 0.606902i | ||||
\(66\) | −6.08595 | + | 10.0479i | −0.749129 | + | 1.23682i | ||||
\(67\) | −9.82470 | + | 2.63252i | −1.20028 | + | 0.321614i | −0.802941 | − | 0.596059i | \(-0.796732\pi\) |
−0.397338 | + | 0.917673i | \(0.630066\pi\) | |||||||
\(68\) | −4.27158 | + | 0.310320i | −0.518005 | + | 0.0376319i | ||||
\(69\) | 0.605914 | − | 0.540220i | 0.0729434 | − | 0.0650348i | ||||
\(70\) | −7.21056 | − | 6.70573i | −0.861826 | − | 0.801488i | ||||
\(71\) | 8.27863i | 0.982493i | 0.871021 | + | 0.491246i | \(0.163458\pi\) | ||||
−0.871021 | + | 0.491246i | \(0.836542\pi\) | |||||||
\(72\) | −7.32404 | − | 4.28468i | −0.863146 | − | 0.504954i | ||||
\(73\) | − | 8.16641i | − | 0.955806i | −0.878413 | − | 0.477903i | \(-0.841397\pi\) | ||
0.878413 | − | 0.477903i | \(-0.158603\pi\) | |||||||
\(74\) | −0.991870 | + | 1.06654i | −0.115303 | + | 0.123983i | ||||
\(75\) | −0.787022 | − | 3.79388i | −0.0908775 | − | 0.438079i | ||||
\(76\) | 2.20718 | + | 1.90821i | 0.253181 | + | 0.218887i | ||||
\(77\) | 19.4043 | − | 5.19937i | 2.21133 | − | 0.592523i | ||||
\(78\) | 0.174791 | − | 8.32409i | 0.0197912 | − | 0.942518i | ||||
\(79\) | 3.63065 | + | 6.28847i | 0.408480 | + | 0.707508i | 0.994720 | − | 0.102630i | \(-0.0327257\pi\) |
−0.586240 | + | 0.810138i | \(0.699392\pi\) | |||||||
\(80\) | 2.63102 | + | 6.10616i | 0.294157 | + | 0.682690i | ||||
\(81\) | 2.61302 | + | 8.61232i | 0.290336 | + | 0.956925i | ||||
\(82\) | −3.64113 | − | 1.92970i | −0.402095 | − | 0.213100i | ||||
\(83\) | 2.03413 | − | 7.59149i | 0.223275 | − | 0.833274i | −0.759813 | − | 0.650142i | \(-0.774710\pi\) |
0.983088 | − | 0.183133i | \(-0.0586238\pi\) | |||||||
\(84\) | 3.96910 | + | 13.9571i | 0.433064 | + | 1.52284i | ||||
\(85\) | −0.921267 | − | 3.43821i | −0.0999254 | − | 0.372927i | ||||
\(86\) | 15.1677 | + | 3.48013i | 1.63558 | + | 0.375272i | ||||
\(87\) | 9.82166 | + | 6.44684i | 1.05299 | + | 0.691174i | ||||
\(88\) | −13.4062 | − | 2.06756i | −1.42910 | − | 0.220402i | ||||
\(89\) | − | 11.1968i | − | 1.18686i | −0.804886 | − | 0.593429i | \(-0.797774\pi\) | ||
0.804886 | − | 0.593429i | \(-0.202226\pi\) | |||||||
\(90\) | 2.35215 | − | 6.64837i | 0.247938 | − | 0.700800i | ||||
\(91\) | −10.0678 | + | 10.0678i | −1.05539 | + | 1.05539i | ||||
\(92\) | 0.843594 | + | 0.408625i | 0.0879507 | + | 0.0426021i | ||||
\(93\) | −7.33213 | − | 8.22376i | −0.760306 | − | 0.852764i | ||||
\(94\) | −6.93535 | − | 11.0655i | −0.715327 | − | 1.14132i | ||||
\(95\) | −1.21246 | + | 2.10004i | −0.124396 | + | 0.215460i | ||||
\(96\) | 1.34544 | − | 9.70514i | 0.137319 | − | 0.990527i | ||||
\(97\) | −5.67759 | − | 9.83387i | −0.576472 | − | 0.998479i | −0.995880 | − | 0.0906808i | \(-0.971096\pi\) |
0.419408 | − | 0.907798i | \(-0.362238\pi\) | |||||||
\(98\) | 6.98411 | − | 13.1782i | 0.705501 | − | 1.33120i | ||||
\(99\) | 8.94443 | + | 11.2693i | 0.898949 | + | 1.13261i | ||||
\(100\) | 3.70238 | − | 2.51190i | 0.370238 | − | 0.251190i | ||||
\(101\) | −2.90189 | − | 0.777558i | −0.288749 | − | 0.0773699i | 0.111537 | − | 0.993760i | \(-0.464423\pi\) |
−0.400286 | + | 0.916390i | \(0.631089\pi\) | |||||||
\(102\) | −1.46367 | + | 5.03703i | −0.144925 | + | 0.498740i | ||||
\(103\) | 1.24824 | + | 0.720669i | 0.122992 | + | 0.0710096i | 0.560234 | − | 0.828334i | \(-0.310711\pi\) |
−0.437242 | + | 0.899344i | \(0.644045\pi\) | |||||||
\(104\) | 8.96133 | − | 3.48175i | 0.878731 | − | 0.341414i | ||||
\(105\) | −10.7720 | + | 5.42236i | −1.05124 | + | 0.529168i | ||||
\(106\) | 1.60570 | − | 1.72658i | 0.155960 | − | 0.167701i | ||||
\(107\) | 5.85602 | − | 5.85602i | 0.566123 | − | 0.566123i | −0.364917 | − | 0.931040i | \(-0.618903\pi\) |
0.931040 | + | 0.364917i | \(0.118903\pi\) | |||||||
\(108\) | −8.04042 | + | 6.58420i | −0.773689 | + | 0.633565i | ||||
\(109\) | −2.05249 | − | 2.05249i | −0.196593 | − | 0.196593i | 0.601945 | − | 0.798538i | \(-0.294393\pi\) |
−0.798538 | + | 0.601945i | \(0.794393\pi\) | |||||||
\(110\) | −0.408697 | − | 11.2663i | −0.0389677 | − | 1.07420i | ||||
\(111\) | 0.802042 | + | 1.59333i | 0.0761265 | + | 0.151232i | ||||
\(112\) | −13.1473 | + | 10.3869i | −1.24230 | + | 0.981470i | ||||
\(113\) | −4.12726 | + | 7.14862i | −0.388260 | + | 0.672486i | −0.992216 | − | 0.124532i | \(-0.960257\pi\) |
0.603956 | + | 0.797018i | \(0.293590\pi\) | |||||||
\(114\) | 3.13151 | − | 1.72135i | 0.293293 | − | 0.161219i | ||||
\(115\) | −0.201630 | + | 0.752495i | −0.0188021 | + | 0.0701705i | ||||
\(116\) | −2.55245 | + | 13.3237i | −0.236989 | + | 1.23707i | ||||
\(117\) | −9.48361 | − | 3.74736i | −0.876760 | − | 0.346443i | ||||
\(118\) | 0.637132 | + | 2.07392i | 0.0586528 | + | 0.190920i | ||||
\(119\) | 7.76824 | − | 4.48500i | 0.712114 | − | 0.411139i | ||||
\(120\) | 8.13236 | − | 0.419392i | 0.742380 | − | 0.0382851i | ||||
\(121\) | 10.3923 | + | 5.99998i | 0.944752 | + | 0.545453i | ||||
\(122\) | −2.46621 | + | 10.7487i | −0.223280 | + | 0.973138i | ||||
\(123\) | −3.76715 | + | 3.35871i | −0.339672 | + | 0.302845i | ||||
\(124\) | 5.54606 | − | 11.4497i | 0.498051 | − | 1.02821i | ||||
\(125\) | 8.50616 | + | 8.50616i | 0.760814 | + | 0.760814i | ||||
\(126\) | 17.7172 | + | 1.38922i | 1.57838 | + | 0.123762i | ||||
\(127\) | −1.68483 | −0.149504 | −0.0747521 | − | 0.997202i | \(-0.523817\pi\) | ||||
−0.0747521 | + | 0.997202i | \(0.523817\pi\) | |||||||
\(128\) | 10.9512 | − | 2.84092i | 0.967960 | − | 0.251104i | ||||
\(129\) | 10.4586 | − | 15.9335i | 0.920825 | − | 1.40286i | ||||
\(130\) | 4.24335 | + | 6.77037i | 0.372167 | + | 0.593801i | ||||
\(131\) | −7.36461 | + | 1.97334i | −0.643449 | + | 0.172412i | −0.565765 | − | 0.824566i | \(-0.691419\pi\) |
−0.0776838 | + | 0.996978i | \(0.524752\pi\) | |||||||
\(132\) | −8.08603 | + | 14.5126i | −0.703799 | + | 1.26316i | ||||
\(133\) | −5.90261 | − | 1.58160i | −0.511821 | − | 0.137142i | ||||
\(134\) | −13.7501 | + | 4.22420i | −1.18783 | + | 0.364915i | ||||
\(135\) | −6.63177 | − | 5.53352i | −0.570772 | − | 0.476249i | ||||
\(136\) | −6.02104 | + | 0.657567i | −0.516300 | + | 0.0563859i | ||||
\(137\) | −8.26806 | + | 4.77357i | −0.706388 | + | 0.407833i | −0.809722 | − | 0.586813i | \(-0.800382\pi\) |
0.103334 | + | 0.994647i | \(0.467049\pi\) | |||||||
\(138\) | 0.828632 | − | 0.794548i | 0.0705378 | − | 0.0676364i | ||||
\(139\) | 3.74281 | + | 13.9684i | 0.317461 | + | 1.18478i | 0.921676 | + | 0.387960i | \(0.126820\pi\) |
−0.604215 | + | 0.796821i | \(0.706513\pi\) | |||||||
\(140\) | −10.5344 | − | 9.10743i | −0.890316 | − | 0.769718i | ||||
\(141\) | −15.6609 | + | 3.24877i | −1.31888 | + | 0.273596i | ||||
\(142\) | 0.424432 | + | 11.7001i | 0.0356175 | + | 0.981847i | ||||
\(143\) | −16.3012 | −1.36318 | ||||||||
\(144\) | −10.5706 | − | 5.67998i | −0.880884 | − | 0.473331i | ||||
\(145\) | −11.2748 | −0.936321 | ||||||||
\(146\) | −0.418679 | − | 11.5415i | −0.0346501 | − | 0.955178i | ||||
\(147\) | −12.1561 | − | 13.6343i | −1.00261 | − | 1.12454i | ||||
\(148\) | −1.34711 | + | 1.55818i | −0.110732 | + | 0.128081i | ||||
\(149\) | 0.445462 | + | 1.66249i | 0.0364937 | + | 0.136196i | 0.981769 | − | 0.190077i | \(-0.0608737\pi\) |
−0.945276 | + | 0.326273i | \(0.894207\pi\) | |||||||
\(150\) | −1.30679 | − | 5.32148i | −0.106699 | − | 0.434497i | ||||
\(151\) | −18.5071 | + | 10.6851i | −1.50609 | + | 0.869542i | −0.506115 | + | 0.862466i | \(0.668919\pi\) |
−0.999975 | + | 0.00707596i | \(0.997748\pi\) | |||||||
\(152\) | 3.21721 | + | 2.58368i | 0.260950 | + | 0.209564i | ||||
\(153\) | 5.16011 | + | 3.82678i | 0.417170 | + | 0.309377i | ||||
\(154\) | 27.1572 | − | 8.34301i | 2.18839 | − | 0.672299i | ||||
\(155\) | 10.2132 | + | 2.73663i | 0.820346 | + | 0.219811i | ||||
\(156\) | −0.179733 | − | 11.7733i | −0.0143901 | − | 0.942616i | ||||
\(157\) | −10.2463 | + | 2.74550i | −0.817746 | + | 0.219114i | −0.643361 | − | 0.765563i | \(-0.722461\pi\) |
−0.174385 | + | 0.984677i | \(0.555794\pi\) | |||||||
\(158\) | 5.45354 | + | 8.70125i | 0.433860 | + | 0.692234i | ||||
\(159\) | −1.29840 | − | 2.57939i | −0.102970 | − | 0.204559i | ||||
\(160\) | 4.03143 | + | 8.49485i | 0.318713 | + | 0.671577i | ||||
\(161\) | −1.96319 | −0.154721 | ||||||||
\(162\) | 4.13448 | + | 12.0377i | 0.324835 | + | 0.945771i | ||||
\(163\) | −3.47621 | − | 3.47621i | −0.272278 | − | 0.272278i | 0.557739 | − | 0.830017i | \(-0.311669\pi\) |
−0.830017 | + | 0.557739i | \(0.811669\pi\) | |||||||
\(164\) | −5.24488 | − | 2.54054i | −0.409556 | − | 0.198383i | ||||
\(165\) | −13.1106 | − | 4.33096i | −1.02066 | − | 0.337165i | ||||
\(166\) | 2.48560 | − | 10.8332i | 0.192920 | − | 0.840821i | ||||
\(167\) | −0.277442 | − | 0.160181i | −0.0214691 | − | 0.0123952i | 0.489227 | − | 0.872156i | \(-0.337279\pi\) |
−0.510696 | + | 0.859761i | \(0.670612\pi\) | |||||||
\(168\) | 6.32502 | + | 19.5218i | 0.487986 | + | 1.50614i | ||||
\(169\) | −1.25270 | + | 0.723245i | −0.0963613 | + | 0.0556342i | ||||
\(170\) | −1.47828 | − | 4.81194i | −0.113379 | − | 0.369059i | ||||
\(171\) | −0.642287 | − | 4.32915i | −0.0491169 | − | 0.331059i | ||||
\(172\) | 21.6147 | + | 4.14078i | 1.64811 | + | 0.315732i | ||||
\(173\) | −3.13236 | + | 11.6901i | −0.238149 | + | 0.888784i | 0.738555 | + | 0.674193i | \(0.235509\pi\) |
−0.976704 | + | 0.214591i | \(0.931158\pi\) | |||||||
\(174\) | 14.2113 | + | 8.60767i | 1.07736 | + | 0.652546i | ||||
\(175\) | −4.68525 | + | 8.11510i | −0.354172 | + | 0.613444i | ||||
\(176\) | −19.0527 | − | 2.23473i | −1.43615 | − | 0.168449i | ||||
\(177\) | 2.65283 | + | 0.152055i | 0.199399 | + | 0.0114291i | ||||
\(178\) | −0.574041 | − | 15.8243i | −0.0430262 | − | 1.18608i | ||||
\(179\) | 18.6780 | + | 18.6780i | 1.39606 | + | 1.39606i | 0.810958 | + | 0.585104i | \(0.198946\pi\) |
0.585104 | + | 0.810958i | \(0.301054\pi\) | |||||||
\(180\) | 2.98340 | − | 9.51663i | 0.222370 | − | 0.709328i | ||||
\(181\) | 4.10527 | − | 4.10527i | 0.305143 | − | 0.305143i | −0.537879 | − | 0.843022i | \(-0.680774\pi\) |
0.843022 | + | 0.537879i | \(0.180774\pi\) | |||||||
\(182\) | −13.7124 | + | 14.7448i | −1.01643 | + | 1.09295i | ||||
\(183\) | 11.2913 | + | 7.41150i | 0.834677 | + | 0.547874i | ||||
\(184\) | 1.21319 | + | 0.534253i | 0.0894373 | + | 0.0393857i | ||||
\(185\) | −1.48254 | − | 0.855945i | −0.108998 | − | 0.0629303i | ||||
\(186\) | −10.7840 | − | 11.2466i | −0.790721 | − | 0.824641i | ||||
\(187\) | 9.91993 | + | 2.65804i | 0.725417 | + | 0.194375i | ||||
\(188\) | −10.3689 | − | 15.2832i | −0.756232 | − | 1.11464i | ||||
\(189\) | 9.14397 | − | 19.7518i | 0.665126 | − | 1.43673i | ||||
\(190\) | −1.60588 | + | 3.03012i | −0.116503 | + | 0.219828i | ||||
\(191\) | 8.60099 | + | 14.8974i | 0.622346 | + | 1.07793i | 0.989048 | + | 0.147596i | \(0.0471536\pi\) |
−0.366702 | + | 0.930338i | \(0.619513\pi\) | |||||||
\(192\) | 1.40393 | − | 13.7851i | 0.101320 | − | 0.994854i | ||||
\(193\) | 9.17459 | − | 15.8909i | 0.660402 | − | 1.14385i | −0.320108 | − | 0.947381i | \(-0.603719\pi\) |
0.980510 | − | 0.196468i | \(-0.0629473\pi\) | |||||||
\(194\) | −8.52821 | − | 13.6070i | −0.612290 | − | 0.976924i | ||||
\(195\) | 9.58201 | − | 1.98774i | 0.686182 | − | 0.142345i | ||||
\(196\) | 9.19490 | − | 18.9826i | 0.656779 | − | 1.35590i | ||||
\(197\) | 8.80431 | − | 8.80431i | 0.627281 | − | 0.627281i | −0.320102 | − | 0.947383i | \(-0.603717\pi\) |
0.947383 | + | 0.320102i | \(0.103717\pi\) | |||||||
\(198\) | 13.2188 | + | 15.4681i | 0.939418 | + | 1.09927i | ||||
\(199\) | − | 10.0277i | − | 0.710847i | −0.934705 | − | 0.355423i | \(-0.884337\pi\) | ||
0.934705 | − | 0.355423i | \(-0.115663\pi\) | |||||||
\(200\) | 5.10373 | − | 3.73984i | 0.360888 | − | 0.264446i | ||||
\(201\) | −1.00813 | + | 17.5883i | −0.0711077 | + | 1.24058i | ||||
\(202\) | −4.14105 | − | 0.950136i | −0.291364 | − | 0.0668513i | ||||
\(203\) | −7.35374 | − | 27.4445i | −0.516131 | − | 1.92623i | ||||
\(204\) | −1.81034 | + | 7.19379i | −0.126749 | + | 0.503666i | ||||
\(205\) | 1.25360 | − | 4.67849i | 0.0875550 | − | 0.326760i | ||||
\(206\) | 1.80106 | + | 0.954515i | 0.125486 | + | 0.0665042i | ||||
\(207\) | −0.559278 | − | 1.29001i | −0.0388725 | − | 0.0896616i | ||||
\(208\) | 12.4864 | − | 5.38014i | 0.865776 | − | 0.373045i | ||||
\(209\) | −3.49819 | − | 6.05904i | −0.241975 | − | 0.419112i | ||||
\(210\) | −14.9459 | + | 8.21560i | −1.03137 | + | 0.566930i | ||||
\(211\) | 19.2080 | − | 5.14678i | 1.32234 | − | 0.354319i | 0.472483 | − | 0.881340i | \(-0.343358\pi\) |
0.849852 | + | 0.527021i | \(0.176691\pi\) | |||||||
\(212\) | 2.18079 | − | 2.52248i | 0.149778 | − | 0.173244i | ||||
\(213\) | 13.6154 | + | 4.49770i | 0.932908 | + | 0.308178i | ||||
\(214\) | 7.97600 | − | 8.57645i | 0.545228 | − | 0.586274i | ||||
\(215\) | 18.2909i | 1.24743i | ||||||||
\(216\) | −11.0258 | + | 9.71757i | −0.750213 | + | 0.661197i | ||||
\(217\) | 26.6454i | 1.80881i | ||||||||
\(218\) | −3.00598 | − | 2.79552i | −0.203591 | − | 0.189337i | ||||
\(219\) | −13.4308 | − | 4.43674i | −0.907569 | − | 0.299807i | ||||
\(220\) | −1.15521 | − | 15.9015i | −0.0778842 | − | 1.07208i | ||||
\(221\) | −7.03076 | + | 1.88389i | −0.472940 | + | 0.126724i | ||||
\(222\) | 1.21520 | + | 2.21071i | 0.0815589 | + | 0.148373i | ||||
\(223\) | −6.96587 | − | 12.0652i | −0.466469 | − | 0.807948i | 0.532797 | − | 0.846243i | \(-0.321141\pi\) |
−0.999266 | + | 0.0382947i | \(0.987807\pi\) | |||||||
\(224\) | −18.0483 | + | 15.3537i | −1.20590 | + | 1.02586i | ||||
\(225\) | −6.66714 | − | 0.766813i | −0.444476 | − | 0.0511209i | ||||
\(226\) | −5.46649 | + | 10.3146i | −0.363625 | + | 0.686119i | ||||
\(227\) | 1.96164 | − | 7.32092i | 0.130198 | − | 0.485907i | −0.869773 | − | 0.493452i | \(-0.835735\pi\) |
0.999972 | + | 0.00754492i | \(0.00240165\pi\) | |||||||
\(228\) | 4.33746 | − | 2.59331i | 0.287255 | − | 0.171746i | ||||
\(229\) | 4.94734 | + | 18.4637i | 0.326930 | + | 1.22012i | 0.912358 | + | 0.409394i | \(0.134260\pi\) |
−0.585428 | + | 0.810724i | \(0.699074\pi\) | |||||||
\(230\) | −0.246382 | + | 1.07383i | −0.0162459 | + | 0.0708060i | ||||
\(231\) | 1.99110 | − | 34.7378i | 0.131005 | − | 2.28558i | ||||
\(232\) | −2.92425 | + | 18.9610i | −0.191987 | + | 1.24485i | ||||
\(233\) | − | 10.7647i | − | 0.705216i | −0.935771 | − | 0.352608i | \(-0.885295\pi\) | ||
0.935771 | − | 0.352608i | \(-0.114705\pi\) | |||||||
\(234\) | −13.5952 | − | 4.80987i | −0.888743 | − | 0.314431i | ||||
\(235\) | 10.8537 | − | 10.8537i | 0.708017 | − | 0.708017i | ||||
\(236\) | 1.00678 | + | 2.89838i | 0.0655355 | + | 0.188668i | ||||
\(237\) | 12.3147 | − | 2.55464i | 0.799929 | − | 0.165941i | ||||
\(238\) | 10.7488 | − | 6.73684i | 0.696741 | − | 0.436684i | ||||
\(239\) | −11.1429 | + | 19.3001i | −0.720774 | + | 1.24842i | 0.239916 | + | 0.970794i | \(0.422880\pi\) |
−0.960690 | + | 0.277624i | \(0.910453\pi\) | |||||||
\(240\) | 11.4718 | − | 1.00965i | 0.740504 | − | 0.0651729i | ||||
\(241\) | 13.7285 | + | 23.7785i | 0.884332 | + | 1.53171i | 0.846478 | + | 0.532424i | \(0.178719\pi\) |
0.0378540 | + | 0.999283i | \(0.487948\pi\) | |||||||
\(242\) | 14.9948 | + | 7.94688i | 0.963905 | + | 0.510845i | ||||
\(243\) | 15.5838 | + | 0.381525i | 0.999700 | + | 0.0244748i | ||||
\(244\) | −2.93438 | + | 15.3174i | −0.187855 | + | 0.980593i | ||||
\(245\) | 16.9327 | + | 4.53710i | 1.08179 | + | 0.289865i | ||||
\(246\) | −5.15186 | + | 4.93994i | −0.328470 | + | 0.314959i | ||||
\(247\) | 4.29435 | + | 2.47934i | 0.273243 | + | 0.157757i | ||||
\(248\) | 7.25115 | − | 16.4660i | 0.460448 | − | 1.04559i | ||||
\(249\) | −11.3801 | − | 7.46980i | −0.721186 | − | 0.473379i | ||||
\(250\) | 12.4577 | + | 11.5855i | 0.787895 | + | 0.732733i | ||||
\(251\) | 11.4125 | − | 11.4125i | 0.720350 | − | 0.720350i | −0.248326 | − | 0.968676i | \(-0.579881\pi\) |
0.968676 | + | 0.248326i | \(0.0798805\pi\) | |||||||
\(252\) | 25.1107 | + | 1.05503i | 1.58183 | + | 0.0664605i | ||||
\(253\) | −1.58935 | − | 1.58935i | −0.0999217 | − | 0.0999217i | ||||
\(254\) | −2.38114 | + | 0.0863784i | −0.149406 | + | 0.00541986i | ||||
\(255\) | −6.15514 | − | 0.352800i | −0.385450 | − | 0.0220932i | ||||
\(256\) | 15.3315 | − | 4.57648i | 0.958221 | − | 0.286030i | ||||
\(257\) | −0.930384 | + | 1.61147i | −0.0580357 | + | 0.100521i | −0.893584 | − | 0.448897i | \(-0.851817\pi\) |
0.835548 | + | 0.549418i | \(0.185150\pi\) | |||||||
\(258\) | 13.9640 | − | 23.0547i | 0.869363 | − | 1.43532i | ||||
\(259\) | 1.11654 | − | 4.16699i | 0.0693785 | − | 0.258924i | ||||
\(260\) | 6.34417 | + | 9.35091i | 0.393449 | + | 0.579919i | ||||
\(261\) | 15.9387 | − | 12.6506i | 0.986583 | − | 0.783051i | ||||
\(262\) | −10.3071 | + | 3.16646i | −0.636776 | + | 0.195625i | ||||
\(263\) | −0.0414842 | + | 0.0239509i | −0.00255802 | + | 0.00147687i | −0.501278 | − | 0.865286i | \(-0.667137\pi\) |
0.498720 | + | 0.866763i | \(0.333803\pi\) | |||||||
\(264\) | −10.6838 | + | 20.9250i | −0.657544 | + | 1.28784i | ||||
\(265\) | 2.40003 | + | 1.38566i | 0.147433 | + | 0.0851203i | ||||
\(266\) | −8.42315 | − | 1.93263i | −0.516457 | − | 0.118497i | ||||
\(267\) | −18.4147 | − | 6.08312i | −1.12696 | − | 0.372281i | ||||
\(268\) | −19.2163 | + | 6.67493i | −1.17382 | + | 0.407737i | ||||
\(269\) | −14.5681 | − | 14.5681i | −0.888235 | − | 0.888235i | 0.106118 | − | 0.994354i | \(-0.466158\pi\) |
−0.994354 | + | 0.106118i | \(0.966158\pi\) | |||||||
\(270\) | −9.65627 | − | 7.48043i | −0.587662 | − | 0.455245i | ||||
\(271\) | −15.7807 | −0.958607 | −0.479304 | − | 0.877649i | \(-0.659111\pi\) | ||||
−0.479304 | + | 0.877649i | \(0.659111\pi\) | |||||||
\(272\) | −8.47573 | + | 1.23802i | −0.513917 | + | 0.0750659i | ||||
\(273\) | 11.0881 | + | 22.0275i | 0.671083 | + | 1.33317i | ||||
\(274\) | −11.4404 | + | 7.17030i | −0.691139 | + | 0.433174i | ||||
\(275\) | −10.3629 | + | 2.77672i | −0.624904 | + | 0.167442i | ||||
\(276\) | 1.13036 | − | 1.16540i | 0.0680395 | − | 0.0701491i | ||||
\(277\) | 7.21383 | + | 1.93294i | 0.433437 | + | 0.116139i | 0.468939 | − | 0.883231i | \(-0.344636\pi\) |
−0.0355022 | + | 0.999370i | \(0.511303\pi\) | |||||||
\(278\) | 6.00579 | + | 19.5494i | 0.360203 | + | 1.17249i | ||||
\(279\) | −17.5086 | + | 7.59080i | −1.04821 | + | 0.454449i | ||||
\(280\) | −15.3550 | − | 12.3313i | −0.917634 | − | 0.736936i | ||||
\(281\) | 5.84440 | − | 3.37427i | 0.348648 | − | 0.201292i | −0.315442 | − | 0.948945i | \(-0.602153\pi\) |
0.664089 | + | 0.747653i | \(0.268819\pi\) | |||||||
\(282\) | −21.9667 | + | 5.39435i | −1.30810 | + | 0.321229i | ||||
\(283\) | −3.33366 | − | 12.4414i | −0.198165 | − | 0.739563i | −0.991425 | − | 0.130679i | \(-0.958284\pi\) |
0.793259 | − | 0.608884i | \(-0.208383\pi\) | |||||||
\(284\) | 1.19969 | + | 16.5137i | 0.0711882 | + | 0.979910i | ||||
\(285\) | 2.79509 | + | 3.13499i | 0.165567 | + | 0.185701i | ||||
\(286\) | −23.0383 | + | 0.835738i | −1.36228 | + | 0.0494182i | ||||
\(287\) | 12.2058 | 0.720483 | ||||||||
\(288\) | −15.2305 | − | 7.48548i | −0.897465 | − | 0.441086i | ||||
\(289\) | −12.4143 | −0.730255 | ||||||||
\(290\) | −15.9345 | + | 0.578041i | −0.935706 | + | 0.0339437i | ||||
\(291\) | −19.2577 | + | 3.99493i | −1.12891 | + | 0.234187i | ||||
\(292\) | −1.18342 | − | 16.2899i | −0.0692546 | − | 0.953294i | ||||
\(293\) | −3.71874 | − | 13.8785i | −0.217251 | − | 0.810792i | −0.985362 | − | 0.170475i | \(-0.945470\pi\) |
0.768111 | − | 0.640317i | \(-0.221197\pi\) | |||||||
\(294\) | −17.8790 | − | 18.6459i | −1.04272 | − | 1.08745i | ||||
\(295\) | −2.20841 | + | 1.27503i | −0.128579 | + | 0.0742349i | ||||
\(296\) | −1.82397 | + | 2.27121i | −0.106016 | + | 0.132011i | ||||
\(297\) | 23.3933 | − | 8.58785i | 1.35742 | − | 0.498318i | ||||
\(298\) | 0.714797 | + | 2.32673i | 0.0414071 | + | 0.134784i | ||||
\(299\) | 1.53877 | + | 0.412311i | 0.0889891 | + | 0.0238446i | ||||
\(300\) | −2.11969 | − | 7.45377i | −0.122380 | − | 0.430343i | ||||
\(301\) | −44.5226 | + | 11.9298i | −2.56624 | + | 0.687622i | ||||
\(302\) | −25.6080 | + | 16.0499i | −1.47358 | + | 0.923569i | ||||
\(303\) | −2.85537 | + | 4.35011i | −0.164037 | + | 0.249907i | ||||
\(304\) | 4.67929 | + | 3.48654i | 0.268376 | + | 0.199967i | ||||
\(305\) | −12.9619 | −0.742196 | ||||||||
\(306\) | 7.48889 | + | 5.14378i | 0.428111 | + | 0.294050i | ||||
\(307\) | 12.2394 | + | 12.2394i | 0.698539 | + | 0.698539i | 0.964095 | − | 0.265556i | \(-0.0855556\pi\) |
−0.265556 | + | 0.964095i | \(0.585556\pi\) | |||||||
\(308\) | 37.9532 | − | 13.1834i | 2.16258 | − | 0.751191i | ||||
\(309\) | 1.86339 | − | 1.66136i | 0.106005 | − | 0.0945116i | ||||
\(310\) | 14.5745 | + | 3.34401i | 0.827776 | + | 0.189927i | ||||
\(311\) | 0.742777 | + | 0.428842i | 0.0421190 | + | 0.0243174i | 0.520912 | − | 0.853611i | \(-0.325592\pi\) |
−0.478793 | + | 0.877928i | \(0.658925\pi\) | |||||||
\(312\) | −0.857609 | − | 16.6298i | −0.0485526 | − | 0.941474i | ||||
\(313\) | 15.8984 | − | 9.17895i | 0.898631 | − | 0.518825i | 0.0218755 | − | 0.999761i | \(-0.493036\pi\) |
0.876756 | + | 0.480936i | \(0.159703\pi\) | |||||||
\(314\) | −14.3402 | + | 4.40548i | −0.809265 | + | 0.248616i | ||||
\(315\) | 3.06548 | + | 20.6620i | 0.172720 | + | 1.16417i | ||||
\(316\) | 8.15349 | + | 12.0177i | 0.458670 | + | 0.676051i | ||||
\(317\) | 1.07887 | − | 4.02641i | 0.0605956 | − | 0.226146i | −0.928987 | − | 0.370112i | \(-0.879319\pi\) |
0.989583 | + | 0.143967i | \(0.0459858\pi\) | |||||||
\(318\) | −1.96724 | − | 3.57884i | −0.110318 | − | 0.200691i | ||||
\(319\) | 16.2650 | − | 28.1718i | 0.910666 | − | 1.57732i | ||||
\(320\) | 6.13308 | + | 11.7990i | 0.342849 | + | 0.659582i | ||||
\(321\) | −6.44952 | − | 12.8126i | −0.359977 | − | 0.715128i | ||||
\(322\) | −2.77455 | + | 0.100650i | −0.154619 | + | 0.00560898i | ||||
\(323\) | −2.20900 | − | 2.20900i | −0.122912 | − | 0.122912i | ||||
\(324\) | 6.46035 | + | 16.8007i | 0.358908 | + | 0.933373i | ||||
\(325\) | 5.37668 | − | 5.37668i | 0.298244 | − | 0.298244i | ||||
\(326\) | −5.09109 | − | 4.73465i | −0.281969 | − | 0.262228i | ||||
\(327\) | −4.49070 | + | 2.26050i | −0.248336 | + | 0.125006i | ||||
\(328\) | −7.54275 | − | 3.32161i | −0.416479 | − | 0.183405i | ||||
\(329\) | 33.4986 | + | 19.3404i | 1.84684 | + | 1.06627i | ||||
\(330\) | −18.7510 | − | 5.44871i | −1.03221 | − | 0.299942i | ||||
\(331\) | −4.99103 | − | 1.33734i | −0.274332 | − | 0.0735070i | 0.119030 | − | 0.992891i | \(-0.462021\pi\) |
−0.393362 | + | 0.919384i | \(0.628688\pi\) | |||||||
\(332\) | 2.95746 | − | 15.4378i | 0.162312 | − | 0.847262i | ||||
\(333\) | 3.05620 | − | 0.453427i | 0.167478 | − | 0.0248476i | ||||
\(334\) | −0.400317 | − | 0.212158i | −0.0219044 | − | 0.0116088i | ||||
\(335\) | −8.45344 | − | 14.6418i | −0.461861 | − | 0.799966i | ||||
\(336\) | 9.93990 | + | 27.2656i | 0.542266 | + | 1.48746i | ||||
\(337\) | 1.94762 | − | 3.37338i | 0.106094 | − | 0.183760i | −0.808091 | − | 0.589058i | \(-0.799499\pi\) |
0.914185 | + | 0.405298i | \(0.132832\pi\) | |||||||
\(338\) | −1.73334 | + | 1.08637i | −0.0942811 | + | 0.0590910i | ||||
\(339\) | 9.51459 | + | 10.6716i | 0.516762 | + | 0.579603i | ||||
\(340\) | −2.33593 | − | 6.72485i | −0.126684 | − | 0.364706i | ||||
\(341\) | −21.5715 | + | 21.5715i | −1.16816 | + | 1.16816i | ||||
\(342\) | −1.12968 | − | 6.08539i | −0.0610862 | − | 0.329060i | ||||
\(343\) | 14.8542i | 0.802049i | ||||||||
\(344\) | 30.7600 | + | 4.74395i | 1.65847 | + | 0.255777i | ||||
\(345\) | 1.12804 | + | 0.740433i | 0.0607315 | + | 0.0398635i | ||||
\(346\) | −3.82758 | + | 16.6821i | −0.205772 | + | 0.896834i | ||||
\(347\) | 0.816741 | + | 3.04812i | 0.0438449 | + | 0.163632i | 0.984377 | − | 0.176073i | \(-0.0563395\pi\) |
−0.940532 | + | 0.339705i | \(0.889673\pi\) | |||||||
\(348\) | 20.5259 | + | 11.4365i | 1.10030 | + | 0.613060i | ||||
\(349\) | −0.374843 | + | 1.39893i | −0.0200649 | + | 0.0748831i | −0.975232 | − | 0.221183i | \(-0.929008\pi\) |
0.955167 | + | 0.296066i | \(0.0956749\pi\) | |||||||
\(350\) | −6.20554 | + | 11.7091i | −0.331700 | + | 0.625880i | ||||
\(351\) | −11.3154 | + | 13.5612i | −0.603972 | + | 0.723844i | ||||
\(352\) | −27.0414 | − | 2.18151i | −1.44131 | − | 0.116275i | ||||
\(353\) | 7.73892 | + | 13.4042i | 0.411901 | + | 0.713434i | 0.995098 | − | 0.0988971i | \(-0.0315315\pi\) |
−0.583196 | + | 0.812331i | \(0.698198\pi\) | |||||||
\(354\) | 3.75700 | + | 0.0788904i | 0.199682 | + | 0.00419298i | ||||
\(355\) | −13.2920 | + | 3.56158i | −0.705466 | + | 0.189029i | ||||
\(356\) | −1.62257 | − | 22.3347i | −0.0859959 | − | 1.18374i | ||||
\(357\) | −3.15578 | − | 15.2126i | −0.167022 | − | 0.805137i | ||||
\(358\) | 27.3550 | + | 25.4398i | 1.44576 | + | 1.34453i | ||||
\(359\) | − | 4.78775i | − | 0.252688i | −0.991987 | − | 0.126344i | \(-0.959676\pi\) | ||
0.991987 | − | 0.126344i | \(-0.0403242\pi\) | |||||||
\(360\) | 3.72849 | − | 13.6027i | 0.196509 | − | 0.716923i | ||||
\(361\) | − | 16.8718i | − | 0.887988i | ||||||
\(362\) | 5.59145 | − | 6.01239i | 0.293880 | − | 0.316004i | ||||
\(363\) | 15.5138 | − | 13.8318i | 0.814264 | − | 0.725981i | ||||
\(364\) | −18.6236 | + | 21.5416i | −0.976144 | + | 1.12908i | ||||
\(365\) | 13.1118 | − | 3.51330i | 0.686304 | − | 0.183895i | ||||
\(366\) | 16.3378 | + | 9.89567i | 0.853990 | + | 0.517255i | ||||
\(367\) | −9.93807 | − | 17.2133i | −0.518763 | − | 0.898524i | −0.999762 | − | 0.0218032i | \(-0.993059\pi\) |
0.480999 | − | 0.876721i | \(-0.340274\pi\) | |||||||
\(368\) | 1.74197 | + | 0.692854i | 0.0908064 | + | 0.0361175i | ||||
\(369\) | 3.47720 | + | 8.02035i | 0.181016 | + | 0.417523i | ||||
\(370\) | −2.13913 | − | 1.13369i | −0.111208 | − | 0.0589375i | ||||
\(371\) | −1.80753 | + | 6.74579i | −0.0938422 | + | 0.350224i | ||||
\(372\) | −15.8174 | − | 15.3418i | −0.820096 | − | 0.795433i | ||||
\(373\) | 0.114573 | + | 0.427591i | 0.00593235 | + | 0.0221398i | 0.968829 | − | 0.247732i | \(-0.0796853\pi\) |
−0.962896 | + | 0.269872i | \(0.913019\pi\) | |||||||
\(374\) | 14.1559 | + | 3.24798i | 0.731987 | + | 0.167949i | ||||
\(375\) | 18.6109 | − | 9.36823i | 0.961061 | − | 0.483774i | ||||
\(376\) | −15.4378 | − | 21.0679i | −0.796144 | − | 1.08649i | ||||
\(377\) | 23.0557i | 1.18743i | ||||||||
\(378\) | 11.9104 | − | 28.3837i | 0.612604 | − | 1.45990i | ||||
\(379\) | −6.18132 | + | 6.18132i | −0.317513 | + | 0.317513i | −0.847811 | − | 0.530298i | \(-0.822080\pi\) |
0.530298 | + | 0.847811i | \(0.322080\pi\) | |||||||
\(380\) | −2.11422 | + | 4.36475i | −0.108457 | + | 0.223907i | ||||
\(381\) | −0.915351 | + | 2.77093i | −0.0468949 | + | 0.141959i | ||||
\(382\) | 12.9194 | + | 20.6132i | 0.661014 | + | 1.05466i | ||||
\(383\) | 6.46708 | − | 11.2013i | 0.330452 | − | 0.572360i | −0.652148 | − | 0.758091i | \(-0.726132\pi\) |
0.982601 | + | 0.185731i | \(0.0594654\pi\) | |||||||
\(384\) | 1.27741 | − | 19.5542i | 0.0651874 | − | 0.997873i | ||||
\(385\) | 16.6960 | + | 28.9183i | 0.850907 | + | 1.47381i | ||||
\(386\) | 12.1516 | − | 22.9287i | 0.618501 | − | 1.16704i | ||||
\(387\) | −20.5227 | − | 25.8571i | −1.04323 | − | 1.31439i | ||||
\(388\) | −12.7504 | − | 18.7933i | −0.647303 | − | 0.954085i | ||||
\(389\) | −26.4265 | − | 7.08096i | −1.33988 | − | 0.359019i | −0.483489 | − | 0.875351i | \(-0.660631\pi\) |
−0.856389 | + | 0.516331i | \(0.827297\pi\) | |||||||
\(390\) | 13.4402 | − | 3.30050i | 0.680570 | − | 0.167127i | ||||
\(391\) | −0.869168 | − | 0.501814i | −0.0439557 | − | 0.0253778i | ||||
\(392\) | 12.0218 | − | 27.2992i | 0.607193 | − | 1.37882i | ||||
\(393\) | −0.755693 | + | 13.1842i | −0.0381197 | + | 0.665056i | ||||
\(394\) | 11.9916 | − | 12.8944i | 0.604128 | − | 0.649609i | ||||
\(395\) | −8.53468 | + | 8.53468i | −0.429426 | + | 0.429426i | ||||
\(396\) | 19.4749 | + | 21.1832i | 0.978651 | + | 1.06449i | ||||
\(397\) | 21.9741 | + | 21.9741i | 1.10285 | + | 1.10285i | 0.994066 | + | 0.108781i | \(0.0346948\pi\) |
0.108781 | + | 0.994066i | \(0.465305\pi\) | |||||||
\(398\) | −0.514105 | − | 14.1720i | −0.0257698 | − | 0.710380i | ||||
\(399\) | −5.80799 | + | 8.84839i | −0.290763 | + | 0.442974i | ||||
\(400\) | 7.02129 | − | 5.54711i | 0.351064 | − | 0.277356i | ||||
\(401\) | 13.4970 | − | 23.3775i | 0.674009 | − | 1.16742i | −0.302749 | − | 0.953070i | \(-0.597904\pi\) |
0.976758 | − | 0.214347i | \(-0.0687624\pi\) | |||||||
\(402\) | −0.523045 | + | 24.9090i | −0.0260871 | + | 1.24235i | ||||
\(403\) | 5.59609 | − | 20.8849i | 0.278761 | − | 1.04035i | ||||
\(404\) | −5.90120 | − | 1.13051i | −0.293596 | − | 0.0562448i | ||||
\(405\) | −12.7036 | + | 7.90055i | −0.631248 | + | 0.392581i | ||||
\(406\) | −11.8000 | − | 38.4099i | −0.585622 | − | 1.90625i | ||||
\(407\) | 4.27742 | − | 2.46957i | 0.212024 | − | 0.122412i | ||||
\(408\) | −2.18972 | + | 10.2597i | −0.108407 | + | 0.507930i | ||||
\(409\) | −11.1537 | − | 6.43957i | −0.551513 | − | 0.318416i | 0.198219 | − | 0.980158i | \(-0.436484\pi\) |
−0.749732 | + | 0.661741i | \(0.769818\pi\) | |||||||
\(410\) | 1.53183 | − | 6.67630i | 0.0756517 | − | 0.329719i | ||||
\(411\) | 3.35883 | + | 16.1914i | 0.165679 | + | 0.798663i | ||||
\(412\) | 2.59434 | + | 1.25666i | 0.127814 | + | 0.0619113i | ||||
\(413\) | −4.54399 | − | 4.54399i | −0.223595 | − | 0.223595i | ||||
\(414\) | −0.856556 | − | 1.79447i | −0.0420974 | − | 0.0881934i | ||||
\(415\) | 13.0638 | 0.641279 | ||||||||
\(416\) | 17.3710 | − | 8.24382i | 0.851684 | − | 0.404186i | ||||
\(417\) | 25.0063 | + | 1.43331i | 1.22457 | + | 0.0701896i | ||||
\(418\) | −5.25457 | − | 8.38379i | −0.257009 | − | 0.410065i | ||||
\(419\) | 0.203434 | − | 0.0545100i | 0.00993841 | − | 0.00266299i | −0.253846 | − | 0.967245i | \(-0.581696\pi\) |
0.263785 | + | 0.964582i | \(0.415029\pi\) | |||||||
\(420\) | −20.7016 | + | 12.3772i | −1.01014 | + | 0.603947i | ||||
\(421\) | −34.2301 | − | 9.17194i | −1.66827 | − | 0.447013i | −0.703630 | − | 0.710567i | \(-0.748439\pi\) |
−0.964645 | + | 0.263554i | \(0.915105\pi\) | |||||||
\(422\) | 26.8825 | − | 8.25862i | 1.30862 | − | 0.402023i | ||||
\(423\) | −3.16535 | + | 27.5215i | −0.153905 | + | 1.33814i | ||||
\(424\) | 2.95276 | − | 3.67678i | 0.143399 | − | 0.178560i | ||||
\(425\) | −4.14862 | + | 2.39521i | −0.201238 | + | 0.116185i | ||||
\(426\) | 19.4729 | + | 5.65850i | 0.943467 | + | 0.274155i | ||||
\(427\) | −8.45410 | − | 31.5511i | −0.409123 | − | 1.52687i | ||||
\(428\) | 10.8326 | − | 12.5299i | 0.523616 | − | 0.605655i | ||||
\(429\) | −8.85631 | + | 26.8096i | −0.427587 | + | 1.29438i | ||||
\(430\) | 0.937743 | + | 25.8502i | 0.0452220 | + | 1.24661i | ||||
\(431\) | 33.5339 | 1.61527 | 0.807635 | − | 0.589683i | \(-0.200747\pi\) | ||||
0.807635 | + | 0.589683i | \(0.200747\pi\) | |||||||
\(432\) | −15.0844 | + | 14.2990i | −0.725750 | + | 0.687959i | ||||
\(433\) | −28.9691 | −1.39217 | −0.696083 | − | 0.717962i | \(-0.745075\pi\) | ||||
−0.696083 | + | 0.717962i | \(0.745075\pi\) | |||||||
\(434\) | 1.36607 | + | 37.6575i | 0.0655733 | + | 1.80762i | ||||
\(435\) | −6.12550 | + | 18.5430i | −0.293695 | + | 0.889067i | ||||
\(436\) | −4.39162 | − | 3.79676i | −0.210321 | − | 0.181832i | ||||
\(437\) | 0.176961 | + | 0.660427i | 0.00846519 | + | 0.0315925i | ||||
\(438\) | −19.2090 | − | 5.58179i | −0.917841 | − | 0.266708i | ||||
\(439\) | 14.6656 | − | 8.46718i | 0.699950 | − | 0.404116i | −0.107379 | − | 0.994218i | \(-0.534246\pi\) |
0.807329 | + | 0.590102i | \(0.200912\pi\) | |||||||
\(440\) | −2.44788 | − | 22.4141i | −0.116698 | − | 1.06855i | ||||
\(441\) | −29.0278 | + | 12.5849i | −1.38227 | + | 0.599282i | ||||
\(442\) | −9.83987 | + | 3.02292i | −0.468035 | + | 0.143786i | ||||
\(443\) | −3.08511 | − | 0.826654i | −0.146578 | − | 0.0392755i | 0.184784 | − | 0.982779i | \(-0.440841\pi\) |
−0.331362 | + | 0.943504i | \(0.607508\pi\) | |||||||
\(444\) | 1.83076 | + | 3.06206i | 0.0868842 | + | 0.145319i | ||||
\(445\) | 17.9773 | − | 4.81702i | 0.852208 | − | 0.228348i | ||||
\(446\) | −10.4633 | − | 16.6945i | −0.495452 | − | 0.790506i | ||||
\(447\) | 2.97621 | + | 0.170590i | 0.140770 | + | 0.00806863i | ||||
\(448\) | −24.7202 | + | 22.6244i | −1.16792 | + | 1.06890i | ||||
\(449\) | −41.9192 | −1.97829 | −0.989145 | − | 0.146944i | \(-0.953056\pi\) | ||||
−0.989145 | + | 0.146944i | \(0.953056\pi\) | |||||||
\(450\) | −9.46188 | − | 0.741912i | −0.446037 | − | 0.0349740i | ||||
\(451\) | 9.88149 | + | 9.88149i | 0.465301 | + | 0.465301i | ||||
\(452\) | −7.19689 | + | 14.8578i | −0.338513 | + | 0.698850i | ||||
\(453\) | 7.51837 | + | 36.2427i | 0.353244 | + | 1.70283i | ||||
\(454\) | 2.39702 | − | 10.4471i | 0.112498 | − | 0.490307i | ||||
\(455\) | −20.4959 | − | 11.8333i | −0.960862 | − | 0.554754i | ||||
\(456\) | 5.99711 | − | 3.88745i | 0.280840 | − | 0.182047i | ||||
\(457\) | −4.93980 | + | 2.85199i | −0.231074 | + | 0.133411i | −0.611067 | − | 0.791579i | \(-0.709260\pi\) |
0.379993 | + | 0.924989i | \(0.375926\pi\) | |||||||
\(458\) | 7.93860 | + | 25.8409i | 0.370947 | + | 1.20746i | ||||
\(459\) | 9.09712 | − | 6.40745i | 0.424617 | − | 0.299074i | ||||
\(460\) | −0.293154 | + | 1.53025i | −0.0136684 | + | 0.0713484i | ||||
\(461\) | 10.2715 | − | 38.3338i | 0.478392 | − | 1.78538i | −0.129743 | − | 0.991548i | \(-0.541415\pi\) |
0.608135 | − | 0.793834i | \(-0.291918\pi\) | |||||||
\(462\) | 1.03304 | − | 49.1965i | 0.0480614 | − | 2.28883i | ||||
\(463\) | −6.28293 | + | 10.8824i | −0.291992 | + | 0.505746i | −0.974281 | − | 0.225337i | \(-0.927652\pi\) |
0.682288 | + | 0.731083i | \(0.260985\pi\) | |||||||
\(464\) | −3.16070 | + | 26.9472i | −0.146732 | + | 1.25099i | ||||
\(465\) | 10.0495 | − | 15.3103i | 0.466035 | − | 0.709997i | ||||
\(466\) | −0.551886 | − | 15.2135i | −0.0255656 | − | 0.704753i | ||||
\(467\) | 12.1784 | + | 12.1784i | 0.563550 | + | 0.563550i | 0.930314 | − | 0.366764i | \(-0.119534\pi\) |
−0.366764 | + | 0.930314i | \(0.619534\pi\) | |||||||
\(468\) | −19.4604 | − | 6.10071i | −0.899558 | − | 0.282006i | ||||
\(469\) | 30.1267 | − | 30.1267i | 1.39112 | − | 1.39112i | ||||
\(470\) | 14.7829 | − | 15.8958i | 0.681884 | − | 0.733219i | ||||
\(471\) | −1.05139 | + | 18.3431i | −0.0484455 | + | 0.845206i | ||||
\(472\) | 1.57145 | + | 4.04461i | 0.0723321 | + | 0.186168i | ||||
\(473\) | −45.7025 | − | 26.3864i | −2.10140 | − | 1.21325i | ||||
\(474\) | 17.2733 | − | 4.24178i | 0.793387 | − | 0.194832i | ||||
\(475\) | 3.15228 | + | 0.844652i | 0.144637 | + | 0.0387553i | ||||
\(476\) | 14.8457 | − | 10.0721i | 0.680452 | − | 0.461656i | ||||
\(477\) | −4.94756 | + | 0.734036i | −0.226533 | + | 0.0336092i | ||||
\(478\) | −14.7586 | + | 27.8478i | −0.675043 | + | 1.27373i | ||||
\(479\) | −10.6864 | − | 18.5094i | −0.488275 | − | 0.845717i | 0.511634 | − | 0.859204i | \(-0.329040\pi\) |
−0.999909 | + | 0.0134862i | \(0.995707\pi\) | |||||||
\(480\) | 16.1612 | − | 2.01507i | 0.737655 | − | 0.0919749i | ||||
\(481\) | −1.75031 | + | 3.03162i | −0.0798072 | + | 0.138230i | ||||
\(482\) | 20.6214 | + | 32.9019i | 0.939278 | + | 1.49864i | ||||
\(483\) | −1.06658 | + | 3.22874i | −0.0485313 | + | 0.146913i | ||||
\(484\) | 21.5994 | + | 10.4624i | 0.981790 | + | 0.475565i | ||||
\(485\) | 13.3465 | − | 13.3465i | 0.606033 | − | 0.606033i | ||||
\(486\) | 22.0439 | − | 0.259753i | 0.999931 | − | 0.0117826i | ||||
\(487\) | − | 39.3716i | − | 1.78410i | −0.451939 | − | 0.892049i | \(-0.649268\pi\) | ||
0.451939 | − | 0.892049i | \(-0.350732\pi\) | |||||||
\(488\) | −3.36182 | + | 21.7982i | −0.152182 | + | 0.986759i | ||||
\(489\) | −7.60570 | + | 3.82851i | −0.343942 | + | 0.173131i | ||||
\(490\) | 24.1633 | + | 5.54410i | 1.09159 | + | 0.250457i | ||||
\(491\) | 9.08087 | + | 33.8903i | 0.409814 | + | 1.52945i | 0.795001 | + | 0.606608i | \(0.207470\pi\) |
−0.385187 | + | 0.922839i | \(0.625863\pi\) | |||||||
\(492\) | −7.02777 | + | 7.24567i | −0.316836 | + | 0.326660i | ||||
\(493\) | 3.75940 | − | 14.0303i | 0.169315 | − | 0.631891i | ||||
\(494\) | 6.19624 | + | 3.28385i | 0.278782 | + | 0.147747i | ||||
\(495\) | −14.2457 | + | 19.2092i | −0.640297 | + | 0.863389i | ||||
\(496\) | 9.40375 | − | 23.6428i | 0.422241 | − | 1.06160i | ||||
\(497\) | −17.3388 | − | 30.0317i | −0.777752 | − | 1.34711i | ||||
\(498\) | −16.4663 | − | 9.97351i | −0.737873 | − | 0.446924i | ||||
\(499\) | −12.6475 | + | 3.38889i | −0.566181 | + | 0.151708i | −0.530544 | − | 0.847657i | \(-0.678012\pi\) |
−0.0356364 | + | 0.999365i | \(0.511346\pi\) | |||||||
\(500\) | 18.2003 | + | 15.7349i | 0.813940 | + | 0.703688i | ||||
\(501\) | −0.414172 | + | 0.369267i | −0.0185039 | + | 0.0164976i | ||||
\(502\) | 15.5440 | − | 16.7142i | 0.693762 | − | 0.745991i | ||||
\(503\) | 2.93881i | 0.131035i | 0.997851 | + | 0.0655175i | \(0.0208698\pi\) | ||||
−0.997851 | + | 0.0655175i | \(0.979130\pi\) | |||||||
\(504\) | 35.5427 | + | 0.203669i | 1.58320 | + | 0.00907212i | ||||
\(505\) | − | 4.99373i | − | 0.222218i | ||||||
\(506\) | −2.32769 | − | 2.16472i | −0.103478 | − | 0.0962337i | ||||
\(507\) | 0.508897 | + | 2.45317i | 0.0226009 | + | 0.108949i | ||||
\(508\) | −3.36080 | + | 0.244154i | −0.149111 | + | 0.0108326i | ||||
\(509\) | −15.3559 | + | 4.11461i | −0.680640 | + | 0.182377i | −0.582543 | − | 0.812800i | \(-0.697942\pi\) |
−0.0980972 | + | 0.995177i | \(0.531276\pi\) | |||||||
\(510\) | −8.71704 | − | 0.183043i | −0.385997 | − | 0.00810527i | ||||
\(511\) | 17.1038 | + | 29.6246i | 0.756627 | + | 1.31052i | ||||
\(512\) | 21.4332 | − | 7.25389i | 0.947222 | − | 0.320580i | ||||
\(513\) | −7.46884 | − | 1.29566i | −0.329757 | − | 0.0572048i | ||||
\(514\) | −1.23228 | + | 2.32517i | −0.0543535 | + | 0.102559i | ||||
\(515\) | −0.620083 | + | 2.31418i | −0.0273241 | + | 0.101975i | ||||
\(516\) | 18.5532 | − | 33.2987i | 0.816758 | − | 1.46590i | ||||
\(517\) | 11.4621 | + | 42.7772i | 0.504103 | + | 1.88134i | ||||
\(518\) | 1.36436 | − | 5.94638i | 0.0599463 | − | 0.261269i | ||||
\(519\) | 17.5243 | + | 11.5027i | 0.769230 | + | 0.504914i | ||||
\(520\) | 9.44551 | + | 12.8902i | 0.414213 | + | 0.565274i | ||||
\(521\) | − | 19.2119i | − | 0.841689i | −0.907133 | − | 0.420844i | \(-0.861734\pi\) | ||
0.907133 | − | 0.420844i | \(-0.138266\pi\) | |||||||
\(522\) | 21.8774 | − | 18.6960i | 0.957547 | − | 0.818302i | ||||
\(523\) | −10.0495 | + | 10.0495i | −0.439436 | + | 0.439436i | −0.891822 | − | 0.452386i | \(-0.850573\pi\) |
0.452386 | + | 0.891822i | \(0.350573\pi\) | |||||||
\(524\) | −14.4045 | + | 5.00354i | −0.629265 | + | 0.218581i | ||||
\(525\) | 10.8009 | + | 12.1144i | 0.471392 | + | 0.528716i | ||||
\(526\) | −0.0574010 | + | 0.0359762i | −0.00250280 | + | 0.00156864i | ||||
\(527\) | −6.81087 | + | 11.7968i | −0.296686 | + | 0.513875i | ||||
\(528\) | −14.0265 | + | 30.1207i | −0.610424 | + | 1.31083i | ||||
\(529\) | −11.3902 | − | 19.7284i | −0.495225 | − | 0.857755i | ||||
\(530\) | 3.46296 | + | 1.83528i | 0.150422 | + | 0.0797196i | ||||
\(531\) | 1.69133 | − | 4.28034i | 0.0733976 | − | 0.185751i | ||||
\(532\) | −12.0034 | − | 2.29952i | −0.520413 | − | 0.0996967i | ||||
\(533\) | −9.56697 | − | 2.56346i | −0.414392 | − | 0.111036i | ||||
\(534\) | −26.3370 | − | 7.65308i | −1.13972 | − | 0.331181i | ||||
\(535\) | 11.9217 | + | 6.88297i | 0.515418 | + | 0.297577i | ||||
\(536\) | −26.8158 | + | 10.4188i | −1.15827 | + | 0.450022i | ||||
\(537\) | 40.8662 | − | 20.5710i | 1.76351 | − | 0.887705i | ||||
\(538\) | −21.3358 | − | 19.8420i | −0.919852 | − | 0.855451i | ||||
\(539\) | −35.7637 | + | 35.7637i | −1.54045 | + | 1.54045i | ||||
\(540\) | −14.0306 | − | 10.0769i | −0.603779 | − | 0.433641i | ||||
\(541\) | 15.3802 | + | 15.3802i | 0.661246 | + | 0.661246i | 0.955674 | − | 0.294428i | \(-0.0951290\pi\) |
−0.294428 | + | 0.955674i | \(0.595129\pi\) | |||||||
\(542\) | −22.3026 | + | 0.809049i | −0.957977 | + | 0.0347516i | ||||
\(543\) | −4.52133 | − | 8.98205i | −0.194029 | − | 0.385457i | ||||
\(544\) | −11.9151 | + | 2.18421i | −0.510857 | + | 0.0936472i | ||||
\(545\) | 2.41243 | − | 4.17844i | 0.103337 | − | 0.178985i | ||||
\(546\) | 16.8000 | + | 30.5627i | 0.718972 | + | 1.30796i | ||||
\(547\) | 6.19933 | − | 23.1362i | 0.265064 | − | 0.989233i | −0.697147 | − | 0.716928i | \(-0.745548\pi\) |
0.962211 | − | 0.272304i | \(-0.0877858\pi\) | |||||||
\(548\) | −15.8009 | + | 10.7202i | −0.674981 | + | 0.457944i | ||||
\(549\) | 18.3237 | − | 14.5435i | 0.782036 | − | 0.620702i | ||||
\(550\) | −14.5033 | + | 4.45558i | −0.618423 | + | 0.189986i | ||||
\(551\) | −8.56961 | + | 4.94767i | −0.365078 | + | 0.210778i | ||||
\(552\) | 1.53777 | − | 1.70500i | 0.0654517 | − | 0.0725696i | ||||
\(553\) | −26.3412 | − | 15.2081i | −1.12014 | − | 0.646714i | ||||
\(554\) | 10.2943 | + | 2.36195i | 0.437362 | + | 0.100350i | ||||
\(555\) | −2.21317 | + | 1.97321i | −0.0939438 | + | 0.0837583i | ||||
\(556\) | 9.49015 | + | 27.3209i | 0.402472 | + | 1.15866i | ||||
\(557\) | 0.932077 | + | 0.932077i | 0.0394934 | + | 0.0394934i | 0.726578 | − | 0.687084i | \(-0.241110\pi\) |
−0.687084 | + | 0.726578i | \(0.741110\pi\) | |||||||
\(558\) | −24.3554 | + | 11.6256i | −1.03105 | + | 0.492151i | ||||
\(559\) | 37.4027 | 1.58197 | ||||||||
\(560\) | −22.3331 | − | 16.6404i | −0.943747 | − | 0.703185i | ||||
\(561\) | 9.76092 | − | 14.8706i | 0.412106 | − | 0.627838i | ||||
\(562\) | 8.08680 | − | 5.06843i | 0.341121 | − | 0.213799i | ||||
\(563\) | 6.39635 | − | 1.71390i | 0.269574 | − | 0.0722321i | −0.121500 | − | 0.992591i | \(-0.538770\pi\) |
0.391074 | + | 0.920359i | \(0.372104\pi\) | |||||||
\(564\) | −30.7686 | + | 8.74994i | −1.29559 | + | 0.368439i | ||||
\(565\) | −13.2533 | − | 3.55121i | −0.557570 | − | 0.149400i | ||||
\(566\) | −5.34926 | − | 17.4123i | −0.224846 | − | 0.731893i | ||||
\(567\) | −27.5167 | − | 25.7695i | −1.15559 | − | 1.08222i | ||||
\(568\) | 2.54213 | + | 23.2771i | 0.106665 | + | 0.976685i | ||||
\(569\) | −7.84553 | + | 4.52962i | −0.328902 | + | 0.189892i | −0.655353 | − | 0.755322i | \(-0.727480\pi\) |
0.326452 | + | 0.945214i | \(0.394147\pi\) | |||||||
\(570\) | 4.11098 | + | 4.28733i | 0.172190 | + | 0.179577i | ||||
\(571\) | 4.79838 | + | 17.9078i | 0.200806 | + | 0.749417i | 0.990687 | + | 0.136158i | \(0.0434754\pi\) |
−0.789881 | + | 0.613260i | \(0.789858\pi\) | |||||||
\(572\) | −32.5168 | + | 2.36227i | −1.35959 | + | 0.0987714i | ||||
\(573\) | 29.1736 | − | 6.05192i | 1.21874 | − | 0.252823i | ||||
\(574\) | 17.2502 | − | 0.625769i | 0.720009 | − | 0.0261191i | ||||
\(575\) | 1.04844 | 0.0437230 | ||||||||
\(576\) | −21.9088 | − | 9.79827i | −0.912865 | − | 0.408261i | ||||
\(577\) | 43.3455 | 1.80450 | 0.902248 | − | 0.431217i | \(-0.141916\pi\) | ||||
0.902248 | + | 0.431217i | \(0.141916\pi\) | |||||||
\(578\) | −17.5450 | + | 0.636463i | −0.729775 | + | 0.0264734i | ||||
\(579\) | −21.1502 | − | 23.7223i | −0.878974 | − | 0.985863i | ||||
\(580\) | −22.4903 | + | 1.63387i | −0.933860 | + | 0.0678428i | ||||
\(581\) | 8.52060 | + | 31.7993i | 0.353494 | + | 1.31926i | ||||
\(582\) | −27.0119 | + | 6.63328i | −1.11968 | + | 0.274958i | ||||
\(583\) | −6.92456 | + | 3.99790i | −0.286786 | + | 0.165576i | ||||
\(584\) | −2.50767 | − | 22.9616i | −0.103768 | − | 0.950156i | ||||
\(585\) | 1.93670 | − | 16.8389i | 0.0800727 | − | 0.696201i | ||||
\(586\) | −5.96717 | − | 19.4236i | −0.246501 | − | 0.802383i | ||||
\(587\) | 25.4359 | + | 6.81553i | 1.04985 | + | 0.281307i | 0.742191 | − | 0.670189i | \(-0.233787\pi\) |
0.307662 | + | 0.951496i | \(0.400453\pi\) | |||||||
\(588\) | −26.2240 | − | 25.4354i | −1.08146 | − | 1.04894i | ||||
\(589\) | 8.96364 | − | 2.40180i | 0.369341 | − | 0.0989645i | ||||
\(590\) | −3.05574 | + | 1.91520i | −0.125803 | + | 0.0788474i | ||||
\(591\) | −9.69660 | − | 19.2632i | −0.398865 | − | 0.792382i | ||||
\(592\) | −2.46135 | + | 3.30338i | −0.101161 | + | 0.135768i | ||||
\(593\) | 41.9274 | 1.72175 | 0.860876 | − | 0.508814i | \(-0.169916\pi\) | ||||
0.860876 | + | 0.508814i | \(0.169916\pi\) | |||||||
\(594\) | 32.6211 | − | 13.3364i | 1.33846 | − | 0.547200i | ||||
\(595\) | 10.5430 | + | 10.5430i | 0.432222 | + | 0.432222i | ||||
\(596\) | 1.12950 | + | 3.25168i | 0.0462661 | + | 0.133194i | ||||
\(597\) | −16.4920 | − | 5.44797i | −0.674972 | − | 0.222971i | ||||
\(598\) | 2.19585 | + | 0.503823i | 0.0897950 | + | 0.0206028i | ||||
\(599\) | 21.1742 | + | 12.2249i | 0.865154 | + | 0.499497i | 0.865735 | − | 0.500503i | \(-0.166852\pi\) |
−0.000580933 | 1.00000i | \(0.500185\pi\) | ||||||||
\(600\) | −3.37787 | − | 10.4256i | −0.137901 | − | 0.425624i | ||||
\(601\) | −24.7521 | + | 14.2906i | −1.00966 | + | 0.582928i | −0.911092 | − | 0.412203i | \(-0.864760\pi\) |
−0.0985682 | + | 0.995130i | \(0.531426\pi\) | |||||||
\(602\) | −62.3115 | + | 19.1428i | −2.53963 | + | 0.780202i | ||||
\(603\) | 28.3787 | + | 11.2136i | 1.15567 | + | 0.456652i | ||||
\(604\) | −35.3686 | + | 23.9960i | −1.43913 | + | 0.976383i | ||||
\(605\) | −5.16255 | + | 19.2669i | −0.209887 | + | 0.783310i | ||||
\(606\) | −3.81243 | + | 6.29434i | −0.154869 | + | 0.255690i | ||||
\(607\) | −9.32245 | + | 16.1470i | −0.378387 | + | 0.655385i | −0.990828 | − | 0.135131i | \(-0.956854\pi\) |
0.612441 | + | 0.790516i | \(0.290188\pi\) | |||||||
\(608\) | 6.79192 | + | 4.68757i | 0.275449 | + | 0.190106i | ||||
\(609\) | −49.1315 | − | 2.81612i | −1.99091 | − | 0.114115i | ||||
\(610\) | −18.3188 | + | 0.664535i | −0.741708 | + | 0.0269062i | ||||
\(611\) | −22.1946 | − | 22.1946i | −0.897896 | − | 0.897896i | ||||
\(612\) | 10.8476 | + | 6.88568i | 0.438490 | + | 0.278337i | ||||
\(613\) | −13.3177 | + | 13.3177i | −0.537896 | + | 0.537896i | −0.922911 | − | 0.385014i | \(-0.874196\pi\) |
0.385014 | + | 0.922911i | \(0.374196\pi\) | |||||||
\(614\) | 17.9252 | + | 16.6702i | 0.723404 | + | 0.672757i | ||||
\(615\) | −7.01335 | − | 4.60349i | −0.282806 | − | 0.185631i | ||||
\(616\) | 52.9627 | − | 20.5776i | 2.13393 | − | 0.829096i | ||||
\(617\) | 15.1035 | + | 8.72003i | 0.608045 | + | 0.351055i | 0.772200 | − | 0.635379i | \(-0.219156\pi\) |
−0.164155 | + | 0.986435i | \(0.552490\pi\) | |||||||
\(618\) | 2.54833 | − | 2.44351i | 0.102509 | − | 0.0982924i | ||||
\(619\) | −21.8310 | − | 5.84959i | −0.877461 | − | 0.235115i | −0.208150 | − | 0.978097i | \(-0.566744\pi\) |
−0.669311 | + | 0.742982i | \(0.733411\pi\) | |||||||
\(620\) | 20.7693 | + | 3.97883i | 0.834117 | + | 0.159794i | ||||
\(621\) | −2.42544 | + | 0.218963i | −0.0973297 | + | 0.00878667i | ||||
\(622\) | 1.07174 | + | 0.567995i | 0.0429729 | + | 0.0227745i | ||||
\(623\) | 23.4506 | + | 40.6177i | 0.939530 | + | 1.62731i | ||||
\(624\) | −2.06463 | − | 23.4586i | −0.0826512 | − | 0.939095i | ||||
\(625\) | −4.40527 | + | 7.63015i | −0.176211 | + | 0.305206i | ||||
\(626\) | 21.9984 | − | 13.7876i | 0.879232 | − | 0.551061i | ||||
\(627\) | −11.8655 | + | 2.46143i | −0.473861 | + | 0.0983001i | ||||
\(628\) | −20.0409 | + | 6.96139i | −0.799720 | + | 0.277790i | ||||
\(629\) | 1.55946 | − | 1.55946i | 0.0621797 | − | 0.0621797i | ||||
\(630\) | 5.39170 | + | 29.0441i | 0.214810 | + | 1.15714i | ||||
\(631\) | 19.8510i | 0.790254i | 0.918627 | + | 0.395127i | \(0.129299\pi\) | ||||
−0.918627 | + | 0.395127i | \(0.870701\pi\) | |||||||
\(632\) | 12.1393 | + | 16.5665i | 0.482877 | + | 0.658979i | ||||
\(633\) | 1.97096 | − | 34.3865i | 0.0783387 | − | 1.36674i | ||||
\(634\) | 1.31833 | − | 5.74578i | 0.0523575 | − | 0.228194i | ||||
\(635\) | −0.724836 | − | 2.70512i | −0.0287642 | − | 0.107350i | ||||
\(636\) | −2.96376 | − | 4.95706i | −0.117521 | − | 0.196560i | ||||
\(637\) | 9.27785 | − | 34.6254i | 0.367602 | − | 1.37191i | ||||
\(638\) | 21.5428 | − | 40.6487i | 0.852886 | − | 1.60930i | ||||
\(639\) | 14.7942 | − | 19.9488i | 0.585249 | − | 0.789161i | ||||
\(640\) | 9.27269 | + | 16.3608i | 0.366535 | + | 0.646719i | ||||
\(641\) | 20.5842 | + | 35.6529i | 0.813026 | + | 1.40820i | 0.910736 | + | 0.412988i | \(0.135515\pi\) |
−0.0977099 | + | 0.995215i | \(0.531152\pi\) | |||||||
\(642\) | −9.77188 | − | 17.7771i | −0.385665 | − | 0.701608i | ||||
\(643\) | −25.1215 | + | 6.73128i | −0.990694 | + | 0.265456i | −0.717542 | − | 0.696515i | \(-0.754733\pi\) |
−0.273152 | + | 0.961971i | \(0.588066\pi\) | |||||||
\(644\) | −3.91606 | + | 0.284493i | −0.154314 | + | 0.0112106i | ||||
\(645\) | 30.0818 | + | 9.93726i | 1.18447 | + | 0.391279i | ||||
\(646\) | −3.23520 | − | 3.00869i | −0.127287 | − | 0.118375i | ||||
\(647\) | − | 40.3426i | − | 1.58603i | −0.609201 | − | 0.793016i | \(-0.708510\pi\) | ||
0.609201 | − | 0.793016i | \(-0.291490\pi\) | |||||||
\(648\) | 9.99165 | + | 23.4130i | 0.392509 | + | 0.919748i | ||||
\(649\) | − | 7.35741i | − | 0.288803i | ||||||
\(650\) | 7.32312 | − | 7.87443i | 0.287236 | − | 0.308860i | ||||
\(651\) | 43.8220 | + | 14.4762i | 1.71752 | + | 0.567367i | ||||
\(652\) | −7.43789 | − | 6.43039i | −0.291290 | − | 0.251834i | ||||
\(653\) | −6.29024 | + | 1.68547i | −0.246156 | + | 0.0659574i | −0.379787 | − | 0.925074i | \(-0.624003\pi\) |
0.133631 | + | 0.991031i | \(0.457336\pi\) | |||||||
\(654\) | −6.23074 | + | 3.42497i | −0.243641 | + | 0.133927i | ||||
\(655\) | −6.33671 | − | 10.9755i | −0.247596 | − | 0.428849i | ||||
\(656\) | −10.8303 | − | 4.30768i | −0.422854 | − | 0.168187i | ||||
\(657\) | −14.5937 | + | 19.6784i | −0.569353 | + | 0.767726i | ||||
\(658\) | 48.3345 | + | 25.6161i | 1.88428 | + | 0.998618i | ||||
\(659\) | −0.0237696 | + | 0.0887093i | −0.000925932 | + | 0.00345562i | −0.966387 | − | 0.257091i | \(-0.917236\pi\) |
0.965461 | + | 0.260546i | \(0.0839027\pi\) | |||||||
\(660\) | −26.7799 | − | 6.73925i | −1.04240 | − | 0.262325i | ||||
\(661\) | −7.23883 | − | 27.0157i | −0.281558 | − | 1.05079i | −0.951318 | − | 0.308211i | \(-0.900270\pi\) |
0.669760 | − | 0.742578i | \(-0.266397\pi\) | |||||||
\(662\) | −7.12231 | − | 1.63416i | −0.276816 | − | 0.0635136i | ||||
\(663\) | −0.721435 | + | 12.5865i | −0.0280182 | + | 0.488821i | ||||
\(664\) | 3.38826 | − | 21.9697i | 0.131490 | − | 0.852589i | ||||
\(665\) | − | 10.1575i | − | 0.393892i | ||||||
\(666\) | 4.29603 | − | 0.797507i | 0.166468 | − | 0.0309028i | ||||
\(667\) | −2.24790 | + | 2.24790i | −0.0870392 | + | 0.0870392i | ||||
\(668\) | −0.576639 | − | 0.279316i | −0.0223108 | − | 0.0108070i | ||||
\(669\) | −23.6274 | + | 4.90140i | −0.913490 | + | 0.189499i | ||||
\(670\) | −12.6978 | − | 20.2596i | −0.490558 | − | 0.782697i | ||||
\(671\) | 18.6988 | − | 32.3873i | 0.721859 | − | 1.25030i | ||||
\(672\) | 15.4458 | + | 38.0245i | 0.595833 | + | 1.46683i | ||||
\(673\) | 2.48158 | + | 4.29822i | 0.0956578 | + | 0.165684i | 0.909883 | − | 0.414865i | \(-0.136171\pi\) |
−0.814225 | + | 0.580549i | \(0.802838\pi\) | |||||||
\(674\) | 2.57959 | − | 4.86739i | 0.0993622 | − | 0.187485i | ||||
\(675\) | −4.88333 | + | 10.5484i | −0.187959 | + | 0.406009i | ||||
\(676\) | −2.39400 | + | 1.62422i | −0.0920769 | + | 0.0624700i | ||||
\(677\) | −6.63841 | − | 1.77876i | −0.255135 | − | 0.0683632i | 0.128985 | − | 0.991647i | \(-0.458828\pi\) |
−0.384119 | + | 0.923283i | \(0.625495\pi\) | |||||||
\(678\) | 13.9939 | + | 14.5942i | 0.537434 | + | 0.560488i | ||||
\(679\) | 41.1923 | + | 23.7824i | 1.58081 | + | 0.912683i | ||||
\(680\) | −3.64611 | − | 9.38436i | −0.139822 | − | 0.359874i | ||||
\(681\) | −10.9745 | − | 7.20357i | −0.420545 | − | 0.276041i | ||||
\(682\) | −29.3807 | + | 31.5926i | −1.12504 | + | 1.20974i | ||||
\(683\) | 20.7192 | − | 20.7192i | 0.792797 | − | 0.792797i | −0.189151 | − | 0.981948i | \(-0.560574\pi\) |
0.981948 | + | 0.189151i | \(0.0605737\pi\) | |||||||
\(684\) | −1.90855 | − | 8.54247i | −0.0729752 | − | 0.326629i | ||||
\(685\) | −11.2214 | − | 11.2214i | −0.428747 | − | 0.428747i | ||||
\(686\) | 0.761549 | + | 20.9932i | 0.0290761 | + | 0.801522i | ||||
\(687\) | 33.0540 | + | 1.89459i | 1.26109 | + | 0.0722831i | ||||
\(688\) | 43.7159 | + | 5.12753i | 1.66665 | + | 0.195485i | ||||
\(689\) | 2.83351 | − | 4.90779i | 0.107948 | − | 0.186972i | ||||
\(690\) | 1.63220 | + | 0.988609i | 0.0621367 | + | 0.0376357i | ||||
\(691\) | 1.42402 | − | 5.31450i | 0.0541721 | − | 0.202173i | −0.933536 | − | 0.358484i | \(-0.883294\pi\) |
0.987708 | + | 0.156311i | \(0.0499603\pi\) | |||||||
\(692\) | −4.55420 | + | 23.7727i | −0.173125 | + | 0.903704i | ||||
\(693\) | −56.0494 | − | 22.1474i | −2.12914 | − | 0.841310i | ||||
\(694\) | 1.31056 | + | 4.26598i | 0.0497481 | + | 0.161934i | ||||
\(695\) | −20.8171 | + | 12.0188i | −0.789638 | + | 0.455898i | ||||
\(696\) | 29.5953 | + | 15.1107i | 1.12181 | + | 0.572769i | ||||
\(697\) | 5.40388 | + | 3.11993i | 0.204687 | + | 0.118176i | ||||
\(698\) | −0.458038 | + | 1.99631i | −0.0173370 | + | 0.0755613i | ||||
\(699\) | −17.7040 | − | 5.84834i | −0.669626 | − | 0.221205i | ||||
\(700\) | −8.16989 | + | 16.8665i | −0.308793 | + | 0.637493i | ||||
\(701\) | −1.06232 | − | 1.06232i | −0.0401233 | − | 0.0401233i | 0.686760 | − | 0.726884i | \(-0.259032\pi\) |
−0.726884 | + | 0.686760i | \(0.759032\pi\) | |||||||
\(702\) | −15.2966 | + | 19.7460i | −0.577334 | + | 0.745263i | ||||
\(703\) | −1.50244 | −0.0566656 | ||||||||
\(704\) | −38.3291 | − | 1.69673i | −1.44458 | − | 0.0639478i | ||||
\(705\) | −11.9537 | − | 23.7471i | −0.450202 | − | 0.894368i | ||||
\(706\) | 11.6245 | + | 18.5472i | 0.437494 | + | 0.698033i | ||||
\(707\) | 12.1555 | − | 3.25705i | 0.457153 | − | 0.122494i | ||||
\(708\) | 5.31375 | − | 0.0811206i | 0.199703 | − | 0.00304870i | ||||
\(709\) | 35.4604 | + | 9.50159i | 1.33174 | + | 0.356840i | 0.853365 | − | 0.521314i | \(-0.174558\pi\) |
0.478379 | + | 0.878153i | \(0.341224\pi\) | |||||||
\(710\) | −18.6028 | + | 5.71498i | −0.698149 | + | 0.214479i | ||||
\(711\) | 2.48904 | − | 21.6412i | 0.0933463 | − | 0.811609i | ||||
\(712\) | −3.43821 | − | 31.4821i | −0.128853 | − | 1.17984i | ||||
\(713\) | 2.58187 | − | 1.49064i | 0.0966916 | − | 0.0558249i | ||||
\(714\) | −5.23994 | − | 21.3379i | −0.196100 | − | 0.798552i | ||||
\(715\) | −7.01301 | − | 26.1729i | −0.262272 | − | 0.978812i | ||||
\(716\) | 39.9646 | + | 34.5512i | 1.49355 | + | 1.29124i | ||||
\(717\) | 25.6878 | + | 28.8116i | 0.959328 | + | 1.07599i | ||||
\(718\) | −0.245460 | − | 6.76644i | −0.00916048 | − | 0.252521i | ||||
\(719\) | −7.37513 | −0.275046 | −0.137523 | − | 0.990499i | \(-0.543914\pi\) | ||||
−0.137523 | + | 0.990499i | \(0.543914\pi\) | |||||||
\(720\) | 4.57203 | − | 19.4156i | 0.170390 | − | 0.723575i | ||||
\(721\) | −6.03749 | −0.224848 | ||||||||
\(722\) | −0.864988 | − | 23.8446i | −0.0321915 | − | 0.887404i | ||||
\(723\) | 46.5656 | − | 9.65981i | 1.73179 | − | 0.359252i | ||||
\(724\) | 7.59406 | − | 8.78388i | 0.282231 | − | 0.326450i | ||||
\(725\) | 3.92726 | + | 14.6567i | 0.145855 | + | 0.544337i | ||||
\(726\) | 21.2163 | − | 20.3436i | 0.787411 | − | 0.755022i | ||||
\(727\) | −5.80127 | + | 3.34936i | −0.215157 | + | 0.124221i | −0.603706 | − | 0.797207i | \(-0.706310\pi\) |
0.388549 | + | 0.921428i | \(0.372977\pi\) | |||||||
\(728\) | −25.2161 | + | 31.3991i | −0.934571 | + | 1.16373i | ||||
\(729\) | 9.09400 | − | 25.4224i | 0.336815 | − | 0.941571i | ||||
\(730\) | 18.3506 | − | 5.63751i | 0.679186 | − | 0.208654i | ||||
\(731\) | −22.7610 | − | 6.09879i | −0.841846 | − | 0.225572i | ||||
\(732\) | 23.5973 | + | 13.1478i | 0.872181 | + | 0.485956i | ||||
\(733\) | 34.6439 | − | 9.28281i | 1.27960 | − | 0.342868i | 0.445900 | − | 0.895083i | \(-0.352884\pi\) |
0.833702 | + | 0.552214i | \(0.186217\pi\) | |||||||
\(734\) | −14.9278 | − | 23.8177i | −0.550996 | − | 0.879127i | ||||
\(735\) | 16.6613 | − | 25.3832i | 0.614560 | − | 0.936272i | ||||
\(736\) | 2.49742 | + | 0.889891i | 0.0920560 | + | 0.0328018i | ||||
\(737\) | 48.7797 | 1.79682 | ||||||||
\(738\) | 5.32547 | + | 11.1568i | 0.196033 | + | 0.410686i | ||||
\(739\) | 4.01107 | + | 4.01107i | 0.147549 | + | 0.147549i | 0.777022 | − | 0.629473i | \(-0.216729\pi\) |
−0.629473 | + | 0.777022i | \(0.716729\pi\) | |||||||
\(740\) | −3.08132 | − | 1.49255i | −0.113272 | − | 0.0548672i | ||||
\(741\) | 6.41070 | − | 5.71564i | 0.235503 | − | 0.209969i | ||||
\(742\) | −2.20871 | + | 9.62638i | −0.0810841 | + | 0.353396i | ||||
\(743\) | −19.1551 | − | 11.0592i | −0.702734 | − | 0.405724i | 0.105631 | − | 0.994405i | \(-0.466314\pi\) |
−0.808365 | + | 0.588682i | \(0.799647\pi\) | |||||||
\(744\) | −23.1411 | − | 20.8713i | −0.848393 | − | 0.765180i | ||||
\(745\) | −2.47761 | + | 1.43045i | −0.0907726 | + | 0.0524076i | ||||
\(746\) | 0.183846 | + | 0.598434i | 0.00673107 | + | 0.0219102i | ||||
\(747\) | −18.4678 | + | 14.6579i | −0.675703 | + | 0.536305i | ||||
\(748\) | 20.1729 | + | 3.86457i | 0.737594 | + | 0.141303i | ||||
\(749\) | −8.97853 | + | 33.5083i | −0.328068 | + | 1.22437i | ||||
\(750\) | 25.8222 | − | 14.1941i | 0.942892 | − | 0.518296i | ||||
\(751\) | −6.05672 | + | 10.4905i | −0.221013 | + | 0.382805i | −0.955116 | − | 0.296233i | \(-0.904270\pi\) |
0.734103 | + | 0.679038i | \(0.237603\pi\) | |||||||
\(752\) | −22.8981 | − | 28.9834i | −0.835008 | − | 1.05692i | ||||
\(753\) | −12.5691 | − | 24.9697i | −0.458044 | − | 0.909947i | ||||
\(754\) | 1.18203 | + | 32.5842i | 0.0430469 | + | 1.18665i | ||||
\(755\) | −25.1178 | − | 25.1178i | −0.914131 | − | 0.914131i | ||||
\(756\) | 15.3776 | − | 40.7249i | 0.559277 | − | 1.48115i | ||||
\(757\) | −19.9365 | + | 19.9365i | −0.724604 | + | 0.724604i | −0.969539 | − | 0.244935i | \(-0.921233\pi\) |
0.244935 | + | 0.969539i | \(0.421233\pi\) | |||||||
\(758\) | −8.41906 | + | 9.05287i | −0.305794 | + | 0.328815i | ||||
\(759\) | −3.47739 | + | 1.75043i | −0.126221 | + | 0.0635366i | ||||
\(760\) | −2.76422 | + | 6.27702i | −0.100269 | + | 0.227691i | ||||
\(761\) | 37.1681 | + | 21.4590i | 1.34734 | + | 0.777889i | 0.987873 | − | 0.155267i | \(-0.0496237\pi\) |
0.359471 | + | 0.933156i | \(0.382957\pi\) | |||||||
\(762\) | −1.15159 | + | 3.96304i | −0.0417177 | + | 0.143566i | ||||
\(763\) | 11.7444 | + | 3.14690i | 0.425176 | + | 0.113925i | ||||
\(764\) | 19.3156 | + | 28.4700i | 0.698814 | + | 1.03001i | ||||
\(765\) | −3.92426 | + | 9.93130i | −0.141882 | + | 0.359067i | ||||
\(766\) | 8.56555 | − | 16.1622i | 0.309486 | − | 0.583964i | ||||
\(767\) | 2.60728 | + | 4.51595i | 0.0941435 | + | 0.163061i | ||||
\(768\) | 0.802824 | − | 27.7012i | 0.0289694 | − | 0.999580i | ||||
\(769\) | −13.7618 | + | 23.8361i | −0.496263 | + | 0.859553i | −0.999991 | − | 0.00430961i | \(-0.998628\pi\) |
0.503728 | + | 0.863863i | \(0.331962\pi\) | |||||||
\(770\) | 25.0788 | + | 40.0138i | 0.903777 | + | 1.44200i | ||||
\(771\) | 2.14482 | + | 2.40564i | 0.0772438 | + | 0.0866371i | ||||
\(772\) | 15.9982 | − | 33.0277i | 0.575786 | − | 1.18869i | ||||
\(773\) | −11.4688 | + | 11.4688i | −0.412504 | + | 0.412504i | −0.882610 | − | 0.470106i | \(-0.844216\pi\) |
0.470106 | + | 0.882610i | \(0.344216\pi\) | |||||||
\(774\) | −30.3301 | − | 35.4912i | −1.09019 | − | 1.27570i | ||||
\(775\) | − | 14.2300i | − | 0.511155i | ||||||
\(776\) | −18.9834 | − | 25.9066i | −0.681465 | − | 0.929992i | ||||
\(777\) | −6.24658 | − | 4.10019i | −0.224095 | − | 0.147094i | ||||
\(778\) | −37.7112 | − | 8.65257i | −1.35201 | − | 0.310210i | ||||
\(779\) | −1.10022 | − | 4.10608i | −0.0394195 | − | 0.147115i | ||||
\(780\) | 18.8256 | − | 5.35360i | 0.674064 | − | 0.191689i | ||||
\(781\) | 10.2759 | − | 38.3500i | 0.367699 | − | 1.37227i | ||||
\(782\) | −1.25411 | − | 0.664645i | −0.0448468 | − | 0.0237677i | ||||
\(783\) | −12.1462 | − | 33.0864i | −0.434071 | − | 1.18241i | ||||
\(784\) | 15.5906 | − | 39.1979i | 0.556808 | − | 1.39992i | ||||
\(785\) | −8.81622 | − | 15.2701i | −0.314664 | − | 0.545015i | ||||
\(786\) | −0.392075 | + | 18.6718i | −0.0139849 | + | 0.666001i | ||||
\(787\) | −42.8263 | + | 11.4753i | −1.52659 | + | 0.409049i | −0.921906 | − | 0.387414i | \(-0.873368\pi\) |
−0.604687 | + | 0.796463i | \(0.706702\pi\) | |||||||
\(788\) | 16.2865 | − | 18.8382i | 0.580181 | − | 0.671083i | ||||
\(789\) | 0.0168526 | + | 0.0812387i | 0.000599968 | + | 0.00289217i | ||||
\(790\) | −11.6244 | + | 12.4995i | −0.413576 | + | 0.444712i | ||||
\(791\) | − | 34.5766i | − | 1.22940i | ||||||
\(792\) | 28.6096 | + | 28.9394i | 1.01660 | + | 1.02832i | ||||
\(793\) | 26.5056i | 0.941241i | ||||||||
\(794\) | 32.1822 | + | 29.9290i | 1.14210 | + | 1.06214i | ||||
\(795\) | 3.58282 | − | 3.19437i | 0.127070 | − | 0.113292i | ||||
\(796\) | −1.45315 | − | 20.0027i | −0.0515057 | − | 0.708978i | ||||
\(797\) | −28.6863 | + | 7.68647i | −1.01612 | + | 0.272269i | −0.728185 | − | 0.685381i | \(-0.759636\pi\) |
−0.287936 | + | 0.957650i | \(0.592969\pi\) | |||||||
\(798\) | −7.75470 | + | 12.8031i | −0.274514 | + | 0.453223i | ||||
\(799\) | 9.88726 | + | 17.1252i | 0.349786 | + | 0.605847i | ||||
\(800\) | 9.63868 | − | 8.19961i | 0.340779 | − | 0.289900i | ||||
\(801\) | −20.0091 | + | 26.9806i | −0.706985 | + | 0.953312i | ||||
\(802\) | 17.8766 | − | 33.7310i | 0.631244 | − | 1.19108i | ||||
\(803\) | −10.1366 | + | 37.8302i | −0.357712 | + | 1.33500i | ||||
\(804\) | 0.537831 | + | 35.2302i | 0.0189678 | + | 1.24247i | ||||
\(805\) | −0.844592 | − | 3.15206i | −0.0297679 | − | 0.111096i | ||||
\(806\) | 6.83813 | − | 29.8032i | 0.240863 | − | 1.04977i | ||||
\(807\) | −31.8741 | + | 16.0446i | −1.12202 | + | 0.564796i | ||||
\(808\) | −8.39803 | − | 1.29518i | −0.295442 | − | 0.0455643i | ||||
\(809\) | 16.7474i | 0.588806i | 0.955681 | + | 0.294403i | \(0.0951209\pi\) | ||||
−0.955681 | + | 0.294403i | \(0.904879\pi\) | |||||||
\(810\) | −17.5488 | + | 11.8170i | −0.616601 | + | 0.415208i | ||||
\(811\) | −7.60619 | + | 7.60619i | −0.267090 | + | 0.267090i | −0.827926 | − | 0.560837i | \(-0.810480\pi\) |
0.560837 | + | 0.827926i | \(0.310480\pi\) | |||||||
\(812\) | −18.6459 | − | 53.6791i | −0.654343 | − | 1.88377i | ||||
\(813\) | −8.57349 | + | 25.9535i | −0.300685 | + | 0.910229i | ||||
\(814\) | 5.91860 | − | 3.70950i | 0.207447 | − | 0.130018i | ||||
\(815\) | 4.08582 | − | 7.07684i | 0.143120 | − | 0.247891i | ||||
\(816\) | −2.56869 | + | 14.6121i | −0.0899223 | + | 0.511526i | ||||
\(817\) | 8.02649 | + | 13.9023i | 0.280811 | + | 0.486379i | ||||
\(818\) | −16.0934 | − | 8.52912i | −0.562694 | − | 0.298214i | ||||
\(819\) | 42.2514 | − | 6.26855i | 1.47638 | − | 0.219041i | ||||
\(820\) | 1.82263 | − | 9.51404i | 0.0636489 | − | 0.332245i | ||||
\(821\) | 37.2860 | + | 9.99074i | 1.30129 | + | 0.348679i | 0.841937 | − | 0.539575i | \(-0.181415\pi\) |
0.459351 | + | 0.888255i | \(0.348082\pi\) | |||||||
\(822\) | 5.57709 | + | 22.7109i | 0.194523 | + | 0.792132i | ||||
\(823\) | 23.9783 | + | 13.8439i | 0.835831 | + | 0.482567i | 0.855845 | − | 0.517233i | \(-0.173038\pi\) |
−0.0200141 | + | 0.999800i | \(0.506371\pi\) | |||||||
\(824\) | 3.73097 | + | 1.64301i | 0.129975 | + | 0.0572371i | ||||
\(825\) | −1.06335 | + | 18.5517i | −0.0370210 | + | 0.645888i | ||||
\(826\) | −6.65491 | − | 6.18898i | −0.231554 | − | 0.215342i | ||||
\(827\) | −27.6025 | + | 27.6025i | −0.959833 | + | 0.959833i | −0.999224 | − | 0.0393907i | \(-0.987458\pi\) |
0.0393907 | + | 0.999224i | \(0.487458\pi\) | |||||||
\(828\) | −1.30256 | − | 2.49218i | −0.0452670 | − | 0.0866093i | ||||
\(829\) | 14.8542 | + | 14.8542i | 0.515908 | + | 0.515908i | 0.916330 | − | 0.400423i | \(-0.131137\pi\) |
−0.400423 | + | 0.916330i | \(0.631137\pi\) | |||||||
\(830\) | 18.4629 | − | 0.669762i | 0.640858 | − | 0.0232478i | ||||
\(831\) | 7.09819 | − | 10.8140i | 0.246234 | − | 0.375133i | ||||
\(832\) | 24.1275 | − | 12.5414i | 0.836471 | − | 0.434796i | ||||
\(833\) | −11.2919 | + | 19.5581i | −0.391240 | + | 0.677647i | ||||
\(834\) | 35.4145 | + | 0.743644i | 1.22631 | + | 0.0257503i | ||||
\(835\) | 0.137824 | − | 0.514368i | 0.00476961 | − | 0.0178004i | ||||
\(836\) | −7.85602 | − | 11.5793i | −0.271706 | − | 0.400478i | ||||
\(837\) | 2.97187 | + | 32.9193i | 0.102723 | + | 1.13786i | ||||
\(838\) | 0.284716 | − | 0.0874679i | 0.00983534 | − | 0.00302153i | ||||
\(839\) | 44.0413 | − | 25.4272i | 1.52047 | − | 0.877846i | 0.520766 | − | 0.853700i | \(-0.325647\pi\) |
0.999708 | − | 0.0241463i | \(-0.00768676\pi\) | |||||||
\(840\) | −28.6227 | + | 18.5539i | −0.987578 | + | 0.640169i | ||||
\(841\) | −14.7301 | − | 8.50445i | −0.507936 | − | 0.293257i | ||||
\(842\) | −48.8471 | − | 11.2076i | −1.68338 | − | 0.386240i | ||||
\(843\) | −2.37424 | − | 11.4451i | −0.0817731 | − | 0.394191i | ||||
\(844\) | 37.5693 | − | 13.0500i | 1.29319 | − | 0.449200i | ||||
\(845\) | −1.70015 | − | 1.70015i | −0.0584871 | − | 0.0584871i | ||||
\(846\) | −3.06256 | + | 39.0580i | −0.105293 | + | 1.34284i | ||||
\(847\) | −50.2656 | −1.72715 | ||||||||
\(848\) | 3.98458 | − | 5.34772i | 0.136831 | − | 0.183641i | ||||
\(849\) | −22.2727 | − | 1.27663i | −0.764398 | − | 0.0438137i | ||||
\(850\) | −5.74038 | + | 3.59780i | −0.196894 | + | 0.123404i | ||||
\(851\) | −0.466233 | + | 0.124927i | −0.0159823 | + | 0.00428244i | ||||
\(852\) | 27.8109 | + | 6.99872i | 0.952786 | + | 0.239772i | ||||
\(853\) | −13.6365 | − | 3.65390i | −0.466906 | − | 0.125107i | 0.0176931 | − | 0.999843i | \(-0.494368\pi\) |
−0.484599 | + | 0.874736i | \(0.661034\pi\) | |||||||
\(854\) | −13.5656 | − | 44.1573i | −0.464206 | − | 1.51103i | ||||
\(855\) | 6.67448 | − | 2.89370i | 0.228262 | − | 0.0989625i | ||||
\(856\) | 14.6672 | − | 18.2637i | 0.501315 | − | 0.624239i | ||||
\(857\) | −14.7618 | + | 8.52275i | −0.504255 | + | 0.291132i | −0.730469 | − | 0.682946i | \(-0.760698\pi\) |
0.226214 | + | 0.974078i | \(0.427365\pi\) | |||||||
\(858\) | −11.1420 | + | 38.3437i | −0.380382 | + | 1.30903i | ||||
\(859\) | −6.67877 | − | 24.9255i | −0.227877 | − | 0.850448i | −0.981232 | − | 0.192833i | \(-0.938232\pi\) |
0.753355 | − | 0.657614i | \(-0.228434\pi\) | |||||||
\(860\) | 2.65059 | + | 36.4856i | 0.0903845 | + | 1.24415i | ||||
\(861\) | 6.63128 | − | 20.0741i | 0.225993 | − | 0.684122i | ||||
\(862\) | 47.3929 | − | 1.71923i | 1.61421 | − | 0.0585571i | ||||
\(863\) | −18.8217 | −0.640698 | −0.320349 | − | 0.947300i | \(-0.603800\pi\) | ||||
−0.320349 | + | 0.947300i | \(0.603800\pi\) | |||||||
\(864\) | −20.5855 | + | 20.9818i | −0.700333 | + | 0.713817i | ||||
\(865\) | −20.1170 | −0.683999 | ||||||||
\(866\) | −40.9415 | + | 1.48520i | −1.39125 | + | 0.0504691i | ||||
\(867\) | −6.74459 | + | 20.4171i | −0.229058 | + | 0.693401i | ||||
\(868\) | 3.86128 | + | 53.1507i | 0.131060 | + | 1.80405i | ||||
\(869\) | −9.01309 | − | 33.6373i | −0.305748 | − | 1.14107i | ||||
\(870\) | −7.70640 | + | 26.5205i | −0.261271 | + | 0.899130i | ||||
\(871\) | −29.9408 | + | 17.2863i | −1.01450 | + | 0.585725i | ||||
\(872\) | −6.40126 | − | 5.14074i | −0.216774 | − | 0.174088i | ||||
\(873\) | −3.89235 | + | 33.8424i | −0.131736 | + | 1.14539i | ||||
\(874\) | 0.283955 | + | 0.924299i | 0.00960492 | + | 0.0312649i | ||||
\(875\) | −48.6724 | − | 13.0417i | −1.64543 | − | 0.440891i | ||||
\(876\) | −27.4339 | − | 6.90385i | −0.926906 | − | 0.233259i | ||||
\(877\) | −10.4503 | + | 2.80014i | −0.352880 | + | 0.0945540i | −0.430905 | − | 0.902397i | \(-0.641805\pi\) |
0.0780244 | + | 0.996951i | \(0.475139\pi\) | |||||||
\(878\) | 20.2925 | − | 12.7184i | 0.684840 | − | 0.429225i | ||||
\(879\) | −24.8455 | − | 1.42409i | −0.838018 | − | 0.0480335i | ||||
\(880\) | −4.60869 | − | 31.5520i | −0.155359 | − | 1.06362i | ||||
\(881\) | 40.1658 | 1.35322 | 0.676610 | − | 0.736342i | \(-0.263448\pi\) | ||||
0.676610 | + | 0.736342i | \(0.263448\pi\) | |||||||
\(882\) | −40.3793 | + | 19.2743i | −1.35964 | + | 0.648998i | ||||
\(883\) | −16.5617 | − | 16.5617i | −0.557346 | − | 0.557346i | 0.371205 | − | 0.928551i | \(-0.378945\pi\) |
−0.928551 | + | 0.371205i | \(0.878945\pi\) | |||||||
\(884\) | −13.7516 | + | 4.77672i | −0.462515 | + | 0.160658i | ||||
\(885\) | 0.897148 | + | 4.32475i | 0.0301573 | + | 0.145375i | ||||
\(886\) | −4.40252 | − | 1.01013i | −0.147906 | − | 0.0339359i | ||||
\(887\) | 13.1259 | + | 7.57822i | 0.440723 | + | 0.254452i | 0.703904 | − | 0.710295i | \(-0.251438\pi\) |
−0.263181 | + | 0.964746i | \(0.584772\pi\) | |||||||
\(888\) | 2.74437 | + | 4.23370i | 0.0920952 | + | 0.142074i | ||||
\(889\) | 6.11191 | − | 3.52871i | 0.204987 | − | 0.118349i | ||||
\(890\) | 25.1601 | − | 7.72948i | 0.843370 | − | 0.259093i | ||||
\(891\) | −1.41453 | − | 43.1393i | −0.0473885 | − | 1.44522i | ||||
\(892\) | −15.6435 | − | 23.0576i | −0.523784 | − | 0.772026i | ||||
\(893\) | 3.48667 | − | 13.0124i | 0.116677 | − | 0.435444i | ||||
\(894\) | 4.21497 | + | 0.0885070i | 0.140970 | + | 0.00296012i | ||||
\(895\) | −21.9535 | + | 38.0246i | −0.733826 | + | 1.27102i | ||||
\(896\) | −33.7768 | + | 33.2421i | −1.12840 | + | 1.11054i | ||||
\(897\) | 1.51410 | − | 2.30671i | 0.0505543 | − | 0.0770187i | ||||
\(898\) | −59.2437 | + | 2.14913i | −1.97699 | + | 0.0717174i | ||||
\(899\) | 30.5097 | + | 30.5097i | 1.01755 | + | 1.01755i | ||||
\(900\) | −13.4104 | − | 0.563437i | −0.447012 | − | 0.0187812i | ||||
\(901\) | −2.52455 | + | 2.52455i | −0.0841050 | + | 0.0841050i | ||||
\(902\) | 14.4720 | + | 13.4587i | 0.481863 | + | 0.448127i | ||||
\(903\) | −4.56853 | + | 79.7050i | −0.152031 | + | 2.65242i | ||||
\(904\) | −9.40951 | + | 21.3672i | −0.312956 | + | 0.710663i | ||||
\(905\) | 8.35749 | + | 4.82520i | 0.277812 | + | 0.160395i | ||||
\(906\) | 12.4837 | + | 50.8358i | 0.414743 | + | 1.68890i | ||||
\(907\) | 9.75684 | + | 2.61434i | 0.323971 | + | 0.0868077i | 0.417139 | − | 0.908843i | \(-0.363033\pi\) |
−0.0931683 | + | 0.995650i | \(0.529699\pi\) | |||||||
\(908\) | 2.85206 | − | 14.8876i | 0.0946489 | − | 0.494063i | ||||
\(909\) | 5.60307 | + | 7.05943i | 0.185842 | + | 0.234146i | ||||
\(910\) | −29.5732 | − | 15.6730i | −0.980341 | − | 0.519556i | ||||
\(911\) | −25.2358 | − | 43.7097i | −0.836099 | − | 1.44817i | −0.893132 | − | 0.449794i | \(-0.851497\pi\) |
0.0570332 | − | 0.998372i | \(-0.481836\pi\) | |||||||
\(912\) | 8.27631 | − | 5.80154i | 0.274056 | − | 0.192108i | ||||
\(913\) | −18.8459 | + | 32.6420i | −0.623708 | + | 1.08029i | ||||
\(914\) | −6.83512 | + | 4.28393i | −0.226086 | + | 0.141700i | ||||
\(915\) | −7.04208 | + | 21.3176i | −0.232804 | + | 0.704739i | ||||
\(916\) | 12.5443 | + | 36.1135i | 0.414476 | + | 1.19322i | ||||
\(917\) | 22.5830 | − | 22.5830i | 0.745757 | − | 0.745757i | ||||
\(918\) | 12.5283 | − | 9.52195i | 0.413496 | − | 0.314271i | ||||
\(919\) | − | 16.7422i | − | 0.552274i | −0.961118 | − | 0.276137i | \(-0.910946\pi\) | ||
0.961118 | − | 0.276137i | \(-0.0890544\pi\) | |||||||
\(920\) | −0.335856 | + | 2.17771i | −0.0110729 | + | 0.0717970i | ||||
\(921\) | 26.7789 | − | 13.4798i | 0.882396 | − | 0.444175i | ||||
\(922\) | 12.5512 | − | 54.7031i | 0.413353 | − | 1.80155i | ||||
\(923\) | 7.28302 | + | 27.1806i | 0.239724 | + | 0.894661i | ||||
\(924\) | −1.06224 | − | 69.5816i | −0.0349453 | − | 2.28907i | ||||
\(925\) | −0.596288 | + | 2.22538i | −0.0196058 | + | 0.0731699i | ||||
\(926\) | −8.32164 | + | 15.7020i | −0.273466 | + | 0.515999i | ||||
\(927\) | −1.71998 | − | 3.96721i | −0.0564914 | − | 0.130300i | ||||
\(928\) | −3.08543 | + | 38.2461i | −0.101284 | + | 1.25549i | ||||
\(929\) | 9.92665 | + | 17.1935i | 0.325683 | + | 0.564099i | 0.981650 | − | 0.190690i | \(-0.0610725\pi\) |
−0.655967 | + | 0.754789i | \(0.727739\pi\) | |||||||
\(930\) | 13.4179 | − | 22.1530i | 0.439990 | − | 0.726426i | ||||
\(931\) | 14.8610 | − | 3.98199i | 0.487049 | − | 0.130504i | ||||
\(932\) | −1.55994 | − | 21.4727i | −0.0510977 | − | 0.703363i | ||||
\(933\) | 1.10883 | − | 0.988613i | 0.0363016 | − | 0.0323657i | ||||
\(934\) | 17.8359 | + | 16.5872i | 0.583609 | + | 0.542749i | ||||
\(935\) | 17.0708i | 0.558273i | ||||||||
\(936\) | −27.8159 | − | 7.62434i | −0.909190 | − | 0.249209i | ||||
\(937\) | − | 3.05876i | − | 0.0999253i | −0.998751 | − | 0.0499626i | \(-0.984090\pi\) | ||
0.998751 | − | 0.0499626i | \(-0.0159102\pi\) | |||||||
\(938\) | 41.0330 | − | 44.1221i | 1.33978 | − | 1.44064i | ||||
\(939\) | −6.45859 | − | 31.1340i | −0.210768 | − | 1.01602i | ||||
\(940\) | 20.0775 | − | 23.2232i | 0.654855 | − | 0.757457i | ||||
\(941\) | −11.4732 | + | 3.07424i | −0.374016 | + | 0.100217i | −0.440930 | − | 0.897541i | \(-0.645351\pi\) |
0.0669140 | + | 0.997759i | \(0.478685\pi\) | |||||||
\(942\) | −0.545491 | + | 25.9779i | −0.0177731 | + | 0.846407i | ||||
\(943\) | −0.682835 | − | 1.18270i | −0.0222362 | − | 0.0385141i | ||||
\(944\) | 2.42827 | + | 5.63562i | 0.0790335 | + | 0.183424i | ||||
\(945\) | 35.6470 | + | 6.18387i | 1.15960 | + | 0.201161i | ||||
\(946\) | −65.9434 | − | 34.9483i | −2.14401 | − | 1.13627i | ||||
\(947\) | 14.9176 | − | 55.6732i | 0.484757 | − | 1.80914i | −0.0963965 | − | 0.995343i | \(-0.530732\pi\) |
0.581153 | − | 0.813794i | \(-0.302602\pi\) | |||||||
\(948\) | 24.1946 | − | 6.88042i | 0.785803 | − | 0.223466i | ||||
\(949\) | −7.18430 | − | 26.8122i | −0.233212 | − | 0.870360i | ||||
\(950\) | 4.49838 | + | 1.03212i | 0.145947 | + | 0.0334864i | ||||
\(951\) | −6.03585 | − | 3.96187i | −0.195726 | − | 0.128472i | ||||
\(952\) | 20.4648 | − | 14.9959i | 0.663269 | − | 0.486020i | ||||
\(953\) | 44.2546i | 1.43355i | 0.697306 | + | 0.716774i | \(0.254382\pi\) | ||||
−0.697306 | + | 0.716774i | \(0.745618\pi\) | |||||||
\(954\) | −6.95468 | + | 1.29105i | −0.225166 | + | 0.0417994i | ||||
\(955\) | −20.2186 | + | 20.2186i | −0.654259 | + | 0.654259i | ||||
\(956\) | −19.4304 | + | 40.1134i | −0.628423 | + | 1.29736i | ||||
\(957\) | −37.4958 | − | 42.0556i | −1.21207 | − | 1.35946i | ||||
\(958\) | −16.0519 | − | 25.6112i | −0.518613 | − | 0.827460i | ||||
\(959\) | 19.9956 | − | 34.6334i | 0.645691 | − | 1.11837i | ||||
\(960\) | 22.7371 | − | 3.67642i | 0.733835 | − | 0.118656i | ||||
\(961\) | −4.73171 | − | 8.19557i | −0.152636 | − | 0.264373i | ||||
\(962\) | −2.31826 | + | 4.37428i | −0.0747436 | + | 0.141032i | ||||
\(963\) | −24.5760 | + | 3.64617i | −0.791951 | + | 0.117496i | ||||
\(964\) | 30.8307 | + | 45.4425i | 0.992990 | + | 1.46361i | ||||
\(965\) | 29.4611 | + | 7.89407i | 0.948386 | + | 0.254119i | ||||
\(966\) | −1.34185 | + | 4.61781i | −0.0431734 | + | 0.148576i | ||||
\(967\) | −36.7930 | − | 21.2424i | −1.18318 | − | 0.683110i | −0.226433 | − | 0.974027i | \(-0.572706\pi\) |
−0.956748 | + | 0.290916i | \(0.906040\pi\) | |||||||
\(968\) | 31.0625 | + | 13.6790i | 0.998385 | + | 0.439661i | ||||
\(969\) | −4.83314 | + | 2.43288i | −0.155263 | + | 0.0781552i | ||||
\(970\) | 18.1781 | − | 19.5466i | 0.583664 | − | 0.627604i | ||||
\(971\) | 11.1469 | − | 11.1469i | 0.357720 | − | 0.357720i | −0.505252 | − | 0.862972i | \(-0.668600\pi\) |
0.862972 | + | 0.505252i | \(0.168600\pi\) | |||||||
\(972\) | 31.1409 | − | 1.49726i | 0.998846 | − | 0.0480246i | ||||
\(973\) | −42.8329 | − | 42.8329i | −1.37316 | − | 1.37316i | ||||
\(974\) | −2.01852 | − | 55.6432i | −0.0646775 | − | 1.78292i | ||||
\(975\) | −5.92159 | − | 11.7638i | −0.189643 | − | 0.376743i | ||||
\(976\) | −3.63365 | + | 30.9794i | −0.116310 | + | 0.991627i | ||||
\(977\) | −2.47430 | + | 4.28561i | −0.0791598 | + | 0.137109i | −0.902888 | − | 0.429877i | \(-0.858557\pi\) |
0.823728 | + | 0.566985i | \(0.191890\pi\) | |||||||
\(978\) | −10.5527 | + | 5.80071i | −0.337439 | + | 0.185486i | ||||
\(979\) | −13.8980 | + | 51.8682i | −0.444183 | + | 1.65771i | ||||
\(980\) | 34.4338 | + | 6.59657i | 1.09995 | + | 0.210720i | ||||
\(981\) | 1.27795 | + | 8.61369i | 0.0408019 | + | 0.275014i | ||||
\(982\) | 14.5714 | + | 47.4310i | 0.464991 | + | 1.51359i | ||||
\(983\) | −41.6831 | + | 24.0658i | −1.32948 | + | 0.767578i | −0.985220 | − | 0.171294i | \(-0.945205\pi\) |
−0.344265 | + | 0.938873i | \(0.611872\pi\) | |||||||
\(984\) | −9.56076 | + | 10.6005i | −0.304786 | + | 0.337931i | ||||
\(985\) | 17.9237 | + | 10.3483i | 0.571098 | + | 0.329724i | ||||
\(986\) | 4.59379 | − | 20.0215i | 0.146296 | − | 0.637614i | ||||
\(987\) | 50.0074 | − | 44.5856i | 1.59175 | − | 1.41917i | ||||
\(988\) | 8.92541 | + | 4.32334i | 0.283955 | + | 0.137544i | ||||
\(989\) | 3.64672 | + | 3.64672i | 0.115959 | + | 0.115959i | ||||
\(990\) | −19.1484 | + | 27.8784i | −0.608577 | + | 0.886034i | ||||
\(991\) | −8.90020 | −0.282724 | −0.141362 | − | 0.989958i | \(-0.545148\pi\) | ||||
−0.141362 | + | 0.989958i | \(0.545148\pi\) | |||||||
\(992\) | 12.0780 | − | 33.8962i | 0.383478 | − | 1.07620i | ||||
\(993\) | −4.91103 | + | 7.48188i | −0.155847 | + | 0.237430i | ||||
\(994\) | −26.0443 | − | 41.5544i | −0.826076 | − | 1.31803i | ||||
\(995\) | 16.1003 | − | 4.31407i | 0.510414 | − | 0.136765i | ||||
\(996\) | −23.7829 | − | 13.2512i | −0.753590 | − | 0.419880i | ||||
\(997\) | −24.8773 | − | 6.66586i | −0.787873 | − | 0.211110i | −0.157620 | − | 0.987500i | \(-0.550382\pi\) |
−0.630253 | + | 0.776390i | \(0.717049\pi\) | |||||||
\(998\) | −17.7008 | + | 5.43789i | −0.560309 | + | 0.172133i | ||||
\(999\) | 0.914680 | − | 5.27268i | 0.0289392 | − | 0.166820i |
(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 | 144.2.x.e.13.18 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.1 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.8 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.12 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.7 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.6 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.7 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.16 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.16 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.13 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.12 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.13 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.6 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.8 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.1 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.18 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.18 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.7 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.7 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.18 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.12 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.1 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.1 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.12 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.16 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.8 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.8 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.16 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.6 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.13 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.13 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.6 | 72 | 144.11 | even | 12 |