Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.1 | ||
Character | \(\chi\) | \(=\) | 29.27 |
Dual form | 29.3.f.a.14.1 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{15}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.388927 | + | 3.45182i | −0.194464 | + | 1.72591i | 0.395487 | + | 0.918472i | \(0.370576\pi\) |
−0.589950 | + | 0.807440i | \(0.700853\pi\) | |||||||
\(3\) | −0.327948 | + | 0.521926i | −0.109316 | + | 0.173975i | −0.896902 | − | 0.442229i | \(-0.854188\pi\) |
0.787586 | + | 0.616205i | \(0.211331\pi\) | |||||||
\(4\) | −7.86410 | − | 1.79493i | −1.96603 | − | 0.448733i | ||||
\(5\) | 4.44600 | − | 3.54557i | 0.889200 | − | 0.709113i | −0.0682639 | − | 0.997667i | \(-0.521746\pi\) |
0.957464 | + | 0.288554i | \(0.0931746\pi\) | |||||||
\(6\) | −1.67405 | − | 1.33501i | −0.279008 | − | 0.222502i | ||||
\(7\) | 1.25371 | + | 5.49285i | 0.179101 | + | 0.784694i | 0.982046 | + | 0.188640i | \(0.0604081\pi\) |
−0.802945 | + | 0.596053i | \(0.796735\pi\) | |||||||
\(8\) | 4.66523 | − | 13.3325i | 0.583154 | − | 1.66656i | ||||
\(9\) | 3.74010 | + | 7.76639i | 0.415566 | + | 0.862932i | ||||
\(10\) | 10.5095 | + | 16.7258i | 1.05095 | + | 1.67258i | ||||
\(11\) | −6.29707 | − | 17.9960i | −0.572461 | − | 1.63600i | −0.757179 | − | 0.653208i | \(-0.773423\pi\) |
0.184718 | − | 0.982792i | \(-0.440863\pi\) | |||||||
\(12\) | 3.51584 | − | 3.51584i | 0.292987 | − | 0.292987i | ||||
\(13\) | 6.68692 | − | 13.8855i | 0.514378 | − | 1.06812i | −0.468432 | − | 0.883499i | \(-0.655181\pi\) |
0.982810 | − | 0.184618i | \(-0.0591048\pi\) | |||||||
\(14\) | −19.4480 | + | 2.19126i | −1.38914 | + | 0.156518i | ||||
\(15\) | 0.392467 | + | 3.48325i | 0.0261645 | + | 0.232216i | ||||
\(16\) | 15.1368 | + | 7.28948i | 0.946047 | + | 0.455592i | ||||
\(17\) | 1.08221 | + | 1.08221i | 0.0636597 | + | 0.0636597i | 0.738220 | − | 0.674560i | \(-0.235667\pi\) |
−0.674560 | + | 0.738220i | \(0.735667\pi\) | |||||||
\(18\) | −28.2628 | + | 9.88959i | −1.57016 | + | 0.549422i | ||||
\(19\) | −17.6859 | + | 11.1128i | −0.930837 | + | 0.584884i | −0.909869 | − | 0.414896i | \(-0.863818\pi\) |
−0.0209684 | + | 0.999780i | \(0.506675\pi\) | |||||||
\(20\) | −41.3278 | + | 19.9024i | −2.06639 | + | 0.995122i | ||||
\(21\) | −3.27802 | − | 1.14703i | −0.156096 | − | 0.0546204i | ||||
\(22\) | 64.5681 | − | 14.7372i | 2.93491 | − | 0.669875i | ||||
\(23\) | 4.81481 | − | 6.03758i | 0.209340 | − | 0.262504i | −0.666066 | − | 0.745893i | \(-0.732023\pi\) |
0.875405 | + | 0.483389i | \(0.160594\pi\) | |||||||
\(24\) | 5.42861 | + | 6.80726i | 0.226192 | + | 0.283636i | ||||
\(25\) | 1.63284 | − | 7.15396i | 0.0653138 | − | 0.286158i | ||||
\(26\) | 45.3297 | + | 28.4825i | 1.74345 | + | 1.09548i | ||||
\(27\) | −10.7928 | − | 1.21606i | −0.399734 | − | 0.0450392i | ||||
\(28\) | − | 45.4467i | − | 1.62310i | ||||||
\(29\) | −18.9830 | − | 21.9237i | −0.654585 | − | 0.755988i | ||||
\(30\) | −12.1762 | −0.405873 | ||||||||
\(31\) | −5.79670 | + | 51.4471i | −0.186990 | + | 1.65958i | 0.453231 | + | 0.891393i | \(0.350271\pi\) |
−0.640221 | + | 0.768191i | \(0.721157\pi\) | |||||||
\(32\) | −0.989018 | + | 1.57401i | −0.0309068 | + | 0.0491879i | ||||
\(33\) | 11.4577 | + | 2.61514i | 0.347203 | + | 0.0792468i | ||||
\(34\) | −4.15651 | + | 3.31471i | −0.122250 | + | 0.0974914i | ||||
\(35\) | 25.0493 | + | 19.9761i | 0.715693 | + | 0.570746i | ||||
\(36\) | −15.4724 | − | 67.7889i | −0.429788 | − | 1.88303i | ||||
\(37\) | −0.580820 | + | 1.65989i | −0.0156978 | + | 0.0448618i | −0.951466 | − | 0.307755i | \(-0.900422\pi\) |
0.935768 | + | 0.352617i | \(0.114708\pi\) | |||||||
\(38\) | −31.4809 | − | 65.3707i | −0.828444 | − | 1.72028i | ||||
\(39\) | 5.05426 | + | 8.04381i | 0.129596 | + | 0.206252i | ||||
\(40\) | −26.5295 | − | 75.8170i | −0.663238 | − | 1.89542i | ||||
\(41\) | 0.198543 | − | 0.198543i | 0.00484250 | − | 0.00484250i | −0.704681 | − | 0.709524i | \(-0.748910\pi\) |
0.709524 | + | 0.704681i | \(0.248910\pi\) | |||||||
\(42\) | 5.23425 | − | 10.8690i | 0.124625 | − | 0.258786i | ||||
\(43\) | −16.5106 | + | 1.86030i | −0.383969 | + | 0.0432629i | −0.301839 | − | 0.953359i | \(-0.597601\pi\) |
−0.0821293 | + | 0.996622i | \(0.526172\pi\) | |||||||
\(44\) | 17.2193 | + | 152.825i | 0.391347 | + | 3.47330i | ||||
\(45\) | 44.1647 | + | 21.2686i | 0.981438 | + | 0.472636i | ||||
\(46\) | 18.9681 | + | 18.9681i | 0.412349 | + | 0.412349i | ||||
\(47\) | −2.91807 | + | 1.02108i | −0.0620866 | + | 0.0217250i | −0.361144 | − | 0.932510i | \(-0.617614\pi\) |
0.299057 | + | 0.954235i | \(0.403328\pi\) | |||||||
\(48\) | −8.76864 | + | 5.50970i | −0.182680 | + | 0.114785i | ||||
\(49\) | 15.5478 | − | 7.48743i | 0.317302 | − | 0.152805i | ||||
\(50\) | 24.0591 | + | 8.41865i | 0.481183 | + | 0.168373i | ||||
\(51\) | −0.919746 | + | 0.209926i | −0.0180342 | + | 0.00411620i | ||||
\(52\) | −77.5102 | + | 97.1947i | −1.49058 | + | 1.86913i | ||||
\(53\) | 31.3688 | + | 39.3353i | 0.591865 | + | 0.742175i | 0.984085 | − | 0.177696i | \(-0.0568644\pi\) |
−0.392221 | + | 0.919871i | \(0.628293\pi\) | |||||||
\(54\) | 8.39524 | − | 36.7819i | 0.155467 | − | 0.681147i | ||||
\(55\) | −91.8027 | − | 57.6835i | −1.66914 | − | 1.04879i | ||||
\(56\) | 79.0821 | + | 8.91041i | 1.41218 | + | 0.159115i | ||||
\(57\) | − | 12.8752i | − | 0.225880i | ||||||
\(58\) | 83.0596 | − | 56.9991i | 1.43206 | − | 0.982744i | ||||
\(59\) | −1.15807 | −0.0196282 | −0.00981412 | − | 0.999952i | \(-0.503124\pi\) | ||||
−0.00981412 | + | 0.999952i | \(0.503124\pi\) | |||||||
\(60\) | 3.16578 | − | 28.0971i | 0.0527630 | − | 0.468284i | ||||
\(61\) | −12.3983 | + | 19.7319i | −0.203252 | + | 0.323473i | −0.932759 | − | 0.360499i | \(-0.882606\pi\) |
0.729508 | + | 0.683972i | \(0.239749\pi\) | |||||||
\(62\) | −175.332 | − | 40.0183i | −2.82793 | − | 0.645457i | ||||
\(63\) | −37.9707 | + | 30.2806i | −0.602709 | + | 0.480644i | ||||
\(64\) | 47.4922 | + | 37.8737i | 0.742065 | + | 0.591777i | ||||
\(65\) | −19.5020 | − | 85.4439i | −0.300031 | − | 1.31452i | ||||
\(66\) | −13.4832 | + | 38.5328i | −0.204291 | + | 0.583831i | ||||
\(67\) | 2.18892 | + | 4.54533i | 0.0326704 | + | 0.0678408i | 0.916665 | − | 0.399656i | \(-0.130870\pi\) |
−0.883995 | + | 0.467497i | \(0.845156\pi\) | |||||||
\(68\) | −6.56815 | − | 10.4531i | −0.0965904 | − | 0.153723i | ||||
\(69\) | 1.57217 | + | 4.49299i | 0.0227850 | + | 0.0651158i | ||||
\(70\) | −78.6963 | + | 78.6963i | −1.12423 | + | 1.12423i | ||||
\(71\) | 12.0075 | − | 24.9339i | 0.169120 | − | 0.351181i | −0.799133 | − | 0.601155i | \(-0.794708\pi\) |
0.968253 | + | 0.249973i | \(0.0804219\pi\) | |||||||
\(72\) | 120.993 | − | 13.6327i | 1.68047 | − | 0.189343i | ||||
\(73\) | −8.52973 | − | 75.7035i | −0.116846 | − | 1.03703i | −0.906128 | − | 0.423004i | \(-0.860976\pi\) |
0.789282 | − | 0.614030i | \(-0.210453\pi\) | |||||||
\(74\) | −5.50374 | − | 2.65046i | −0.0743749 | − | 0.0358170i | ||||
\(75\) | 3.19835 | + | 3.19835i | 0.0426447 | + | 0.0426447i | ||||
\(76\) | 159.030 | − | 55.6472i | 2.09251 | − | 0.732200i | ||||
\(77\) | 90.9547 | − | 57.1506i | 1.18123 | − | 0.742216i | ||||
\(78\) | −29.7315 | + | 14.3180i | −0.381174 | + | 0.183564i | ||||
\(79\) | 27.2780 | + | 9.54499i | 0.345291 | + | 0.120823i | 0.497353 | − | 0.867548i | \(-0.334305\pi\) |
−0.152062 | + | 0.988371i | \(0.548591\pi\) | |||||||
\(80\) | 93.1433 | − | 21.2594i | 1.16429 | − | 0.265742i | ||||
\(81\) | −44.1964 | + | 55.4205i | −0.545635 | + | 0.684204i | ||||
\(82\) | 0.608115 | + | 0.762553i | 0.00741604 | + | 0.00929942i | ||||
\(83\) | −5.13309 | + | 22.4895i | −0.0618444 | + | 0.270958i | −0.996391 | − | 0.0848828i | \(-0.972948\pi\) |
0.934546 | + | 0.355841i | \(0.115806\pi\) | |||||||
\(84\) | 23.7198 | + | 14.9042i | 0.282379 | + | 0.177430i | ||||
\(85\) | 8.64858 | + | 0.974461i | 0.101748 | + | 0.0114642i | ||||
\(86\) | − | 57.7154i | − | 0.671109i | ||||||
\(87\) | 17.6680 | − | 2.71789i | 0.203080 | − | 0.0312401i | ||||
\(88\) | −269.308 | −3.06032 | ||||||||
\(89\) | 8.12973 | − | 72.1533i | 0.0913453 | − | 0.810712i | −0.861604 | − | 0.507581i | \(-0.830540\pi\) |
0.952949 | − | 0.303130i | \(-0.0980318\pi\) | |||||||
\(90\) | −90.5923 | + | 144.177i | −1.00658 | + | 1.60196i | ||||
\(91\) | 84.6546 | + | 19.3219i | 0.930271 | + | 0.212328i | ||||
\(92\) | −48.7012 | + | 38.8379i | −0.529361 | + | 0.422151i | ||||
\(93\) | −24.9506 | − | 19.8974i | −0.268286 | − | 0.213951i | ||||
\(94\) | −2.38966 | − | 10.4698i | −0.0254219 | − | 0.111381i | ||||
\(95\) | −39.2304 | + | 112.114i | −0.412951 | + | 1.18015i | ||||
\(96\) | −0.497172 | − | 1.03239i | −0.00517888 | − | 0.0107541i | ||||
\(97\) | 65.8679 | + | 104.828i | 0.679051 | + | 1.08070i | 0.991416 | + | 0.130742i | \(0.0417358\pi\) |
−0.312365 | + | 0.949962i | \(0.601121\pi\) | |||||||
\(98\) | 19.7983 | + | 56.5803i | 0.202024 | + | 0.577350i | ||||
\(99\) | 116.212 | − | 116.212i | 1.17386 | − | 1.17386i | ||||
\(100\) | −25.6817 | + | 53.3286i | −0.256817 | + | 0.533286i | ||||
\(101\) | −137.817 | + | 15.5282i | −1.36452 | + | 0.153745i | −0.763666 | − | 0.645612i | \(-0.776602\pi\) |
−0.600857 | + | 0.799357i | \(0.705174\pi\) | |||||||
\(102\) | −0.366913 | − | 3.25645i | −0.00359719 | − | 0.0319259i | ||||
\(103\) | −86.6685 | − | 41.7374i | −0.841442 | − | 0.405217i | −0.0370482 | − | 0.999313i | \(-0.511795\pi\) |
−0.804394 | + | 0.594096i | \(0.797510\pi\) | |||||||
\(104\) | −153.932 | − | 153.932i | −1.48012 | − | 1.48012i | ||||
\(105\) | −18.6409 | + | 6.52274i | −0.177533 | + | 0.0621213i | ||||
\(106\) | −147.979 | + | 92.9811i | −1.39602 | + | 0.877180i | ||||
\(107\) | 125.260 | − | 60.3222i | 1.17066 | − | 0.563759i | 0.255481 | − | 0.966814i | \(-0.417766\pi\) |
0.915176 | + | 0.403055i | \(0.132052\pi\) | |||||||
\(108\) | 82.6931 | + | 28.9356i | 0.765677 | + | 0.267922i | ||||
\(109\) | −120.620 | + | 27.5306i | −1.10660 | + | 0.252575i | −0.736514 | − | 0.676422i | \(-0.763529\pi\) |
−0.370087 | + | 0.928997i | \(0.620672\pi\) | |||||||
\(110\) | 234.818 | − | 294.452i | 2.13471 | − | 2.67684i | ||||
\(111\) | −0.675860 | − | 0.847502i | −0.00608883 | − | 0.00763515i | ||||
\(112\) | −21.0630 | + | 92.2829i | −0.188062 | + | 0.823954i | ||||
\(113\) | 177.502 | + | 111.532i | 1.57082 | + | 0.987010i | 0.984182 | + | 0.177159i | \(0.0566907\pi\) |
0.586636 | + | 0.809851i | \(0.300452\pi\) | |||||||
\(114\) | 44.4428 | + | 5.00750i | 0.389849 | + | 0.0439254i | ||||
\(115\) | − | 43.9143i | − | 0.381864i | ||||||
\(116\) | 109.933 | + | 206.483i | 0.947695 | + | 1.78003i | ||||
\(117\) | 132.850 | 1.13547 | ||||||||
\(118\) | 0.450403 | − | 3.99744i | 0.00381698 | − | 0.0338766i | ||||
\(119\) | −4.58766 | + | 7.30123i | −0.0385518 | + | 0.0613548i | ||||
\(120\) | 48.2712 | + | 11.0176i | 0.402260 | + | 0.0918132i | ||||
\(121\) | −189.601 | + | 151.202i | −1.56695 | + | 1.24960i | ||||
\(122\) | −63.2888 | − | 50.4711i | −0.518761 | − | 0.413698i | ||||
\(123\) | 0.0385130 | + | 0.168736i | 0.000313114 | + | 0.00137184i | ||||
\(124\) | 137.930 | − | 394.181i | 1.11234 | − | 3.17888i | ||||
\(125\) | 43.5784 | + | 90.4914i | 0.348627 | + | 0.723931i | ||||
\(126\) | −89.7554 | − | 142.845i | −0.712345 | − | 1.13369i | ||||
\(127\) | 2.47109 | + | 7.06196i | 0.0194574 | + | 0.0556059i | 0.953202 | − | 0.302333i | \(-0.0977654\pi\) |
−0.933745 | + | 0.357939i | \(0.883480\pi\) | |||||||
\(128\) | −154.462 | + | 154.462i | −1.20674 | + | 1.20674i | ||||
\(129\) | 4.44369 | − | 9.22743i | 0.0344472 | − | 0.0715304i | ||||
\(130\) | 302.522 | − | 34.0861i | 2.32709 | − | 0.262200i | ||||
\(131\) | −2.15703 | − | 19.1442i | −0.0164659 | − | 0.146139i | 0.982789 | − | 0.184731i | \(-0.0591413\pi\) |
−0.999255 | + | 0.0385920i | \(0.987713\pi\) | |||||||
\(132\) | −85.4105 | − | 41.1315i | −0.647049 | − | 0.311603i | ||||
\(133\) | −83.2139 | − | 83.2139i | −0.625668 | − | 0.625668i | ||||
\(134\) | −16.5410 | + | 5.78795i | −0.123440 | + | 0.0431937i | ||||
\(135\) | −52.2965 | + | 32.8600i | −0.387381 | + | 0.243408i | ||||
\(136\) | 19.4774 | − | 9.37980i | 0.143216 | − | 0.0689691i | ||||
\(137\) | −61.9941 | − | 21.6927i | −0.452512 | − | 0.158341i | 0.0943939 | − | 0.995535i | \(-0.469909\pi\) |
−0.546906 | + | 0.837194i | \(0.684194\pi\) | |||||||
\(138\) | −16.1205 | + | 3.67939i | −0.116815 | + | 0.0266623i | ||||
\(139\) | 112.699 | − | 141.319i | 0.810781 | − | 1.01669i | −0.188619 | − | 0.982050i | \(-0.560401\pi\) |
0.999400 | − | 0.0346367i | \(-0.0110274\pi\) | |||||||
\(140\) | −161.134 | − | 202.056i | −1.15096 | − | 1.44326i | ||||
\(141\) | 0.424049 | − | 1.85788i | 0.00300744 | − | 0.0131764i | ||||
\(142\) | 81.3972 | + | 51.1453i | 0.573220 | + | 0.360178i | ||||
\(143\) | −291.992 | − | 32.8996i | −2.04190 | − | 0.230067i | ||||
\(144\) | 144.821i | 1.00570i | ||||||||
\(145\) | −162.130 | − | 30.1672i | −1.11814 | − | 0.208050i | ||||
\(146\) | 264.632 | 1.81255 | ||||||||
\(147\) | −1.19099 | + | 10.5703i | −0.00810195 | + | 0.0719068i | ||||
\(148\) | 7.54701 | − | 12.0110i | 0.0509933 | − | 0.0811554i | ||||
\(149\) | −193.555 | − | 44.1777i | −1.29903 | − | 0.296495i | −0.483568 | − | 0.875307i | \(-0.660659\pi\) |
−0.815461 | + | 0.578812i | \(0.803516\pi\) | |||||||
\(150\) | −12.2841 | + | 9.79621i | −0.0818938 | + | 0.0653081i | ||||
\(151\) | 55.9613 | + | 44.6277i | 0.370605 | + | 0.295547i | 0.791027 | − | 0.611781i | \(-0.209547\pi\) |
−0.420422 | + | 0.907329i | \(0.638118\pi\) | |||||||
\(152\) | 65.6520 | + | 287.640i | 0.431921 | + | 1.89237i | ||||
\(153\) | −4.35731 | + | 12.4525i | −0.0284792 | + | 0.0813888i | ||||
\(154\) | 161.899 | + | 336.187i | 1.05129 | + | 2.18303i | ||||
\(155\) | 156.637 | + | 249.286i | 1.01056 | + | 1.60830i | ||||
\(156\) | −25.3092 | − | 72.3294i | −0.162238 | − | 0.463650i | ||||
\(157\) | 52.5972 | − | 52.5972i | 0.335014 | − | 0.335014i | −0.519473 | − | 0.854487i | \(-0.673872\pi\) |
0.854487 | + | 0.519473i | \(0.173872\pi\) | |||||||
\(158\) | −43.5568 | + | 90.4465i | −0.275676 | + | 0.572446i | ||||
\(159\) | −30.8175 | + | 3.47229i | −0.193821 | + | 0.0218383i | ||||
\(160\) | 1.18359 | + | 10.5047i | 0.00739746 | + | 0.0656543i | ||||
\(161\) | 39.1999 | + | 18.8777i | 0.243478 | + | 0.117253i | ||||
\(162\) | −174.113 | − | 174.113i | −1.07477 | − | 1.07477i | ||||
\(163\) | 211.039 | − | 73.8456i | 1.29471 | − | 0.453040i | 0.406998 | − | 0.913429i | \(-0.366576\pi\) |
0.887717 | + | 0.460389i | \(0.152290\pi\) | |||||||
\(164\) | −1.91773 | + | 1.20499i | −0.0116935 | + | 0.00734750i | ||||
\(165\) | 60.2131 | − | 28.9971i | 0.364928 | − | 0.175740i | ||||
\(166\) | −75.6335 | − | 26.4653i | −0.455623 | − | 0.159430i | ||||
\(167\) | −52.3830 | + | 11.9561i | −0.313671 | + | 0.0715933i | −0.376458 | − | 0.926434i | \(-0.622858\pi\) |
0.0627875 | + | 0.998027i | \(0.480001\pi\) | |||||||
\(168\) | −30.5854 | + | 38.3529i | −0.182056 | + | 0.228291i | ||||
\(169\) | −42.7232 | − | 53.5732i | −0.252800 | − | 0.317001i | ||||
\(170\) | −6.72733 | + | 29.4744i | −0.0395726 | + | 0.173379i | ||||
\(171\) | −152.453 | − | 95.7927i | −0.891540 | − | 0.560191i | ||||
\(172\) | 133.181 | + | 15.0058i | 0.774306 | + | 0.0872433i | ||||
\(173\) | 271.306i | 1.56824i | 0.620606 | + | 0.784122i | \(0.286886\pi\) | ||||
−0.620606 | + | 0.784122i | \(0.713114\pi\) | |||||||
\(174\) | 2.51012 | + | 62.0437i | 0.0144260 | + | 0.356573i | ||||
\(175\) | 41.3428 | 0.236244 | ||||||||
\(176\) | 35.8642 | − | 318.303i | 0.203774 | − | 1.80854i | ||||
\(177\) | 0.379786 | − | 0.604426i | 0.00214568 | − | 0.00341483i | ||||
\(178\) | 245.899 | + | 56.1248i | 1.38145 | + | 0.315308i | ||||
\(179\) | 153.672 | − | 122.550i | 0.858504 | − | 0.684634i | −0.0918605 | − | 0.995772i | \(-0.529281\pi\) |
0.950365 | + | 0.311137i | \(0.100710\pi\) | |||||||
\(180\) | −309.140 | − | 246.531i | −1.71745 | − | 1.36962i | ||||
\(181\) | 14.9903 | + | 65.6768i | 0.0828193 | + | 0.362855i | 0.999308 | − | 0.0372064i | \(-0.0118459\pi\) |
−0.916488 | + | 0.400062i | \(0.868989\pi\) | |||||||
\(182\) | −99.6201 | + | 284.698i | −0.547363 | + | 1.56427i | ||||
\(183\) | −6.23256 | − | 12.9420i | −0.0340577 | − | 0.0707216i | ||||
\(184\) | −58.0336 | − | 92.3600i | −0.315400 | − | 0.501956i | ||||
\(185\) | 3.30292 | + | 9.43919i | 0.0178536 | + | 0.0510227i | ||||
\(186\) | 78.3863 | − | 78.3863i | 0.421432 | − | 0.421432i | ||||
\(187\) | 12.6607 | − | 26.2903i | 0.0677045 | − | 0.140590i | ||||
\(188\) | 24.7808 | − | 2.79212i | 0.131813 | − | 0.0148517i | ||||
\(189\) | −6.85141 | − | 60.8080i | −0.0362509 | − | 0.321735i | ||||
\(190\) | −371.740 | − | 179.020i | −1.95653 | − | 0.942213i | ||||
\(191\) | −47.0321 | − | 47.0321i | −0.246241 | − | 0.246241i | 0.573185 | − | 0.819426i | \(-0.305708\pi\) |
−0.819426 | + | 0.573185i | \(0.805708\pi\) | |||||||
\(192\) | −35.3423 | + | 12.3668i | −0.184074 | + | 0.0644104i | ||||
\(193\) | 217.923 | − | 136.930i | 1.12914 | − | 0.709483i | 0.168063 | − | 0.985776i | \(-0.446249\pi\) |
0.961073 | + | 0.276293i | \(0.0891061\pi\) | |||||||
\(194\) | −387.466 | + | 186.594i | −1.99725 | + | 0.961824i | ||||
\(195\) | 50.9911 | + | 17.8426i | 0.261493 | + | 0.0915003i | ||||
\(196\) | −135.709 | + | 30.9747i | −0.692393 | + | 0.158034i | ||||
\(197\) | 33.8518 | − | 42.4488i | 0.171837 | − | 0.215476i | −0.688454 | − | 0.725280i | \(-0.741710\pi\) |
0.860291 | + | 0.509803i | \(0.170282\pi\) | |||||||
\(198\) | 355.946 | + | 446.342i | 1.79771 | + | 2.25425i | ||||
\(199\) | −14.0003 | + | 61.3394i | −0.0703533 | + | 0.308238i | −0.997846 | − | 0.0656039i | \(-0.979103\pi\) |
0.927492 | + | 0.373842i | \(0.121960\pi\) | |||||||
\(200\) | −87.7622 | − | 55.1447i | −0.438811 | − | 0.275723i | ||||
\(201\) | −3.09018 | − | 0.348180i | −0.0153740 | − | 0.00173224i | ||||
\(202\) | − | 481.759i | − | 2.38494i | ||||||
\(203\) | 96.6244 | − | 131.757i | 0.475982 | − | 0.649047i | ||||
\(204\) | 7.60978 | 0.0373029 | ||||||||
\(205\) | 0.178774 | − | 1.58667i | 0.000872070 | − | 0.00773983i | ||||
\(206\) | 177.778 | − | 282.932i | 0.862999 | − | 1.37345i | ||||
\(207\) | 64.8981 | + | 14.8126i | 0.313517 | + | 0.0715583i | ||||
\(208\) | 202.436 | − | 161.438i | 0.973252 | − | 0.776143i | ||||
\(209\) | 311.355 | + | 248.297i | 1.48974 | + | 1.18803i | ||||
\(210\) | −15.2654 | − | 66.8820i | −0.0726923 | − | 0.318486i | ||||
\(211\) | −15.5911 | + | 44.5567i | −0.0738913 | + | 0.211169i | −0.974905 | − | 0.222622i | \(-0.928539\pi\) |
0.901014 | + | 0.433791i | \(0.142824\pi\) | |||||||
\(212\) | −176.084 | − | 365.642i | −0.830583 | − | 1.72472i | ||||
\(213\) | 9.07580 | + | 14.4440i | 0.0426094 | + | 0.0678124i | ||||
\(214\) | 159.504 | + | 455.837i | 0.745348 | + | 2.13008i | ||||
\(215\) | −66.8105 | + | 66.8105i | −0.310746 | + | 0.310746i | ||||
\(216\) | −66.5640 | + | 138.222i | −0.308167 | + | 0.639915i | ||||
\(217\) | −289.859 | + | 32.6592i | −1.33575 | + | 0.150503i | ||||
\(218\) | −48.1186 | − | 427.065i | −0.220728 | − | 1.95901i | ||||
\(219\) | 42.3090 | + | 20.3749i | 0.193192 | + | 0.0930362i | ||||
\(220\) | 618.408 | + | 618.408i | 2.81095 | + | 2.81095i | ||||
\(221\) | 22.2638 | − | 7.79044i | 0.100741 | − | 0.0352508i | ||||
\(222\) | 3.18829 | − | 2.00333i | 0.0143617 | − | 0.00902402i | ||||
\(223\) | 261.957 | − | 126.152i | 1.17469 | − | 0.565702i | 0.258333 | − | 0.966056i | \(-0.416827\pi\) |
0.916361 | + | 0.400354i | \(0.131113\pi\) | |||||||
\(224\) | −9.88576 | − | 3.45918i | −0.0441329 | − | 0.0154428i | ||||
\(225\) | 61.6674 | − | 14.0752i | 0.274077 | − | 0.0625564i | ||||
\(226\) | −454.025 | + | 569.329i | −2.00896 | + | 2.51915i | ||||
\(227\) | −34.4220 | − | 43.1638i | −0.151639 | − | 0.190149i | 0.700210 | − | 0.713937i | \(-0.253090\pi\) |
−0.851849 | + | 0.523788i | \(0.824518\pi\) | |||||||
\(228\) | −23.1100 | + | 101.252i | −0.101360 | + | 0.444086i | ||||
\(229\) | −221.885 | − | 139.419i | −0.968928 | − | 0.608818i | −0.0481232 | − | 0.998841i | \(-0.515324\pi\) |
−0.920805 | + | 0.390024i | \(0.872467\pi\) | |||||||
\(230\) | 151.584 | + | 17.0795i | 0.659063 | + | 0.0742585i | ||||
\(231\) | 66.2141i | 0.286641i | ||||||||
\(232\) | −380.856 | + | 150.811i | −1.64162 | + | 0.650046i | ||||
\(233\) | −241.002 | −1.03434 | −0.517172 | − | 0.855881i | \(-0.673015\pi\) | ||||
−0.517172 | + | 0.855881i | \(0.673015\pi\) | |||||||
\(234\) | −51.6690 | + | 458.575i | −0.220808 | + | 1.95972i | ||||
\(235\) | −9.35344 | + | 14.8859i | −0.0398019 | + | 0.0633443i | ||||
\(236\) | 9.10716 | + | 2.07865i | 0.0385896 | + | 0.00880783i | ||||
\(237\) | −13.9276 | + | 11.1069i | −0.0587660 | + | 0.0468644i | ||||
\(238\) | −23.4183 | − | 18.6754i | −0.0983961 | − | 0.0784683i | ||||
\(239\) | −61.9514 | − | 271.427i | −0.259211 | − | 1.13568i | −0.922098 | − | 0.386957i | \(-0.873526\pi\) |
0.662887 | − | 0.748720i | \(-0.269331\pi\) | |||||||
\(240\) | −19.4504 | + | 55.5859i | −0.0810431 | + | 0.231608i | ||||
\(241\) | −80.8324 | − | 167.850i | −0.335404 | − | 0.696474i | 0.663247 | − | 0.748401i | \(-0.269178\pi\) |
−0.998651 | + | 0.0519267i | \(0.983464\pi\) | |||||||
\(242\) | −448.181 | − | 713.276i | −1.85199 | − | 2.94742i | ||||
\(243\) | −46.7161 | − | 133.507i | −0.192247 | − | 0.549411i | ||||
\(244\) | 132.919 | − | 132.919i | 0.544751 | − | 0.544751i | ||||
\(245\) | 42.5784 | − | 88.4149i | 0.173789 | − | 0.360877i | ||||
\(246\) | −0.597427 | + | 0.0673138i | −0.00242856 | + | 0.000273633i | ||||
\(247\) | 36.0428 | + | 319.888i | 0.145922 | + | 1.29509i | ||||
\(248\) | 658.874 | + | 317.297i | 2.65675 | + | 1.27942i | ||||
\(249\) | −10.0545 | − | 10.0545i | −0.0403795 | − | 0.0403795i | ||||
\(250\) | −329.309 | + | 115.230i | −1.31724 | + | 0.460921i | ||||
\(251\) | −213.340 | + | 134.050i | −0.849959 | + | 0.534065i | −0.885145 | − | 0.465316i | \(-0.845941\pi\) |
0.0351854 | + | 0.999381i | \(0.488798\pi\) | |||||||
\(252\) | 352.957 | − | 169.975i | 1.40062 | − | 0.674504i | ||||
\(253\) | −138.972 | − | 48.6282i | −0.549294 | − | 0.192206i | ||||
\(254\) | −25.3377 | + | 5.78316i | −0.0997547 | + | 0.0227684i | ||||
\(255\) | −3.34488 | + | 4.19435i | −0.0131172 | + | 0.0164484i | ||||
\(256\) | −321.607 | − | 403.282i | −1.25628 | − | 1.57532i | ||||
\(257\) | 25.8837 | − | 113.404i | 0.100715 | − | 0.441260i | −0.899278 | − | 0.437378i | \(-0.855907\pi\) |
0.999992 | − | 0.00388207i | \(-0.00123570\pi\) | |||||||
\(258\) | 30.1232 | + | 18.9276i | 0.116756 | + | 0.0733629i | ||||
\(259\) | −9.84570 | − | 1.10934i | −0.0380143 | − | 0.00428318i | ||||
\(260\) | 706.945i | 2.71902i | ||||||||
\(261\) | 99.2696 | − | 229.426i | 0.380343 | − | 0.879026i | ||||
\(262\) | 66.9212 | 0.255424 | ||||||||
\(263\) | 16.7924 | − | 149.037i | 0.0638495 | − | 0.566680i | −0.920536 | − | 0.390657i | \(-0.872248\pi\) |
0.984386 | − | 0.176023i | \(-0.0563234\pi\) | |||||||
\(264\) | 88.3191 | − | 140.559i | 0.334542 | − | 0.532421i | ||||
\(265\) | 278.932 | + | 63.6643i | 1.05257 | + | 0.240243i | ||||
\(266\) | 319.604 | − | 254.876i | 1.20152 | − | 0.958179i | ||||
\(267\) | 34.9926 | + | 27.9057i | 0.131058 | + | 0.104516i | ||||
\(268\) | −9.05532 | − | 39.6739i | −0.0337885 | − | 0.148037i | ||||
\(269\) | −142.154 | + | 406.254i | −0.528455 | + | 1.51024i | 0.302087 | + | 0.953280i | \(0.402317\pi\) |
−0.830542 | + | 0.556957i | \(0.811969\pi\) | |||||||
\(270\) | −93.0876 | − | 193.298i | −0.344769 | − | 0.715920i | ||||
\(271\) | 145.351 | + | 231.324i | 0.536349 | + | 0.853595i | 0.999465 | − | 0.0327029i | \(-0.0104115\pi\) |
−0.463116 | + | 0.886298i | \(0.653269\pi\) | |||||||
\(272\) | 8.49243 | + | 24.2700i | 0.0312222 | + | 0.0892279i | ||||
\(273\) | −37.8469 | + | 37.8469i | −0.138633 | + | 0.138633i | ||||
\(274\) | 98.9905 | − | 205.556i | 0.361279 | − | 0.750204i | ||||
\(275\) | −139.025 | + | 15.6643i | −0.505544 | + | 0.0569612i | ||||
\(276\) | −4.29907 | − | 38.1553i | −0.0155763 | − | 0.138244i | ||||
\(277\) | 402.718 | + | 193.939i | 1.45385 | + | 0.700139i | 0.983260 | − | 0.182210i | \(-0.0583251\pi\) |
0.470595 | + | 0.882349i | \(0.344039\pi\) | |||||||
\(278\) | 443.978 | + | 443.978i | 1.59704 | + | 1.59704i | ||||
\(279\) | −421.238 | + | 147.398i | −1.50982 | + | 0.528307i | ||||
\(280\) | 383.191 | − | 240.775i | 1.36854 | − | 0.859911i | ||||
\(281\) | 146.043 | − | 70.3308i | 0.519728 | − | 0.250288i | −0.155581 | − | 0.987823i | \(-0.549725\pi\) |
0.675308 | + | 0.737536i | \(0.264011\pi\) | |||||||
\(282\) | 6.24814 | + | 2.18632i | 0.0221565 | + | 0.00775291i | ||||
\(283\) | −423.259 | + | 96.6060i | −1.49561 | + | 0.341364i | −0.890577 | − | 0.454833i | \(-0.849699\pi\) |
−0.605037 | + | 0.796197i | \(0.706842\pi\) | |||||||
\(284\) | −139.183 | + | 174.530i | −0.490081 | + | 0.614542i | ||||
\(285\) | −45.6497 | − | 57.2429i | −0.160174 | − | 0.200852i | ||||
\(286\) | 227.127 | − | 995.109i | 0.794150 | − | 3.47940i | ||||
\(287\) | 1.33948 | + | 0.841651i | 0.00466718 | + | 0.00293258i | ||||
\(288\) | −15.9234 | − | 1.79414i | −0.0552897 | − | 0.00622965i | ||||
\(289\) | − | 286.658i | − | 0.991895i | ||||||
\(290\) | 167.189 | − | 547.911i | 0.576513 | − | 1.88935i | ||||
\(291\) | −76.3139 | −0.262247 | ||||||||
\(292\) | −68.8038 | + | 610.650i | −0.235629 | + | 2.09127i | ||||
\(293\) | 103.800 | − | 165.197i | 0.354268 | − | 0.563814i | −0.621284 | − | 0.783586i | \(-0.713389\pi\) |
0.975551 | + | 0.219772i | \(0.0705314\pi\) | |||||||
\(294\) | −36.0236 | − | 8.22215i | −0.122529 | − | 0.0279665i | ||||
\(295\) | −5.14876 | + | 4.10600i | −0.0174534 | + | 0.0139186i | ||||
\(296\) | 19.4207 | + | 15.4875i | 0.0656106 | + | 0.0523227i | ||||
\(297\) | 46.0790 | + | 201.885i | 0.155148 | + | 0.679748i | ||||
\(298\) | 227.773 | − | 650.937i | 0.764337 | − | 2.18435i | ||||
\(299\) | −51.6388 | − | 107.229i | −0.172705 | − | 0.358625i | ||||
\(300\) | −19.4113 | − | 30.8930i | −0.0647045 | − | 0.102977i | ||||
\(301\) | −30.9179 | − | 88.3583i | −0.102717 | − | 0.293549i | ||||
\(302\) | −175.812 | + | 175.812i | −0.582158 | + | 0.582158i | ||||
\(303\) | 37.0922 | − | 77.0227i | 0.122416 | − | 0.254200i | ||||
\(304\) | −348.714 | + | 39.2906i | −1.14708 | + | 0.129245i | ||||
\(305\) | 14.8376 | + | 131.687i | 0.0486477 | + | 0.431760i | ||||
\(306\) | −41.2891 | − | 19.8838i | −0.134932 | − | 0.0649797i | ||||
\(307\) | 257.664 | + | 257.664i | 0.839297 | + | 0.839297i | 0.988766 | − | 0.149470i | \(-0.0477567\pi\) |
−0.149470 | + | 0.988766i | \(0.547757\pi\) | |||||||
\(308\) | −817.859 | + | 286.181i | −2.65538 | + | 0.929159i | ||||
\(309\) | 50.2066 | − | 31.5469i | 0.162481 | − | 0.102094i | ||||
\(310\) | −921.412 | + | 443.729i | −2.97230 | + | 1.43138i | ||||
\(311\) | −121.145 | − | 42.3903i | −0.389532 | − | 0.136303i | 0.128405 | − | 0.991722i | \(-0.459014\pi\) |
−0.517937 | + | 0.855419i | \(0.673300\pi\) | |||||||
\(312\) | 130.823 | − | 29.8595i | 0.419305 | − | 0.0957036i | ||||
\(313\) | −32.1822 | + | 40.3552i | −0.102819 | + | 0.128930i | −0.830579 | − | 0.556902i | \(-0.811990\pi\) |
0.727760 | + | 0.685832i | \(0.240561\pi\) | |||||||
\(314\) | 161.100 | + | 202.013i | 0.513056 | + | 0.643352i | ||||
\(315\) | −61.4557 | + | 269.255i | −0.195097 | + | 0.854778i | ||||
\(316\) | −197.384 | − | 124.025i | −0.624634 | − | 0.392484i | ||||
\(317\) | 9.36162 | + | 1.05480i | 0.0295319 | + | 0.00332745i | 0.126718 | − | 0.991939i | \(-0.459556\pi\) |
−0.0971862 | + | 0.995266i | \(0.530984\pi\) | |||||||
\(318\) | − | 107.727i | − | 0.338764i | ||||||
\(319\) | −275.001 | + | 479.672i | −0.862072 | + | 1.50367i | ||||
\(320\) | 345.434 | 1.07948 | ||||||||
\(321\) | −9.59514 | + | 85.1592i | −0.0298914 | + | 0.265293i | ||||
\(322\) | −80.4084 | + | 127.969i | −0.249715 | + | 0.397420i | ||||
\(323\) | −31.1664 | − | 7.11352i | −0.0964903 | − | 0.0220233i | ||||
\(324\) | 447.041 | − | 356.503i | 1.37976 | − | 1.10032i | ||||
\(325\) | −88.4178 | − | 70.5108i | −0.272055 | − | 0.216956i | ||||
\(326\) | 172.823 | + | 757.188i | 0.530133 | + | 2.32266i | ||||
\(327\) | 25.1880 | − | 71.9831i | 0.0770275 | − | 0.220132i | ||||
\(328\) | −1.72081 | − | 3.57331i | −0.00524639 | − | 0.0108942i | ||||
\(329\) | −9.26704 | − | 14.7484i | −0.0281673 | − | 0.0448280i | ||||
\(330\) | 76.6743 | + | 219.123i | 0.232346 | + | 0.664008i | ||||
\(331\) | 258.506 | − | 258.506i | 0.780985 | − | 0.780985i | −0.199012 | − | 0.979997i | \(-0.563773\pi\) |
0.979997 | + | 0.199012i | \(0.0637733\pi\) | |||||||
\(332\) | 80.7343 | − | 167.646i | 0.243176 | − | 0.504959i | ||||
\(333\) | −15.0637 | + | 1.69727i | −0.0452362 | + | 0.00509690i | ||||
\(334\) | −20.8971 | − | 185.467i | −0.0625661 | − | 0.555290i | ||||
\(335\) | 25.8477 | + | 12.4476i | 0.0771573 | + | 0.0371570i | ||||
\(336\) | −41.2573 | − | 41.2573i | −0.122790 | − | 0.122790i | ||||
\(337\) | 293.050 | − | 102.543i | 0.869584 | − | 0.304281i | 0.141641 | − | 0.989918i | \(-0.454762\pi\) |
0.727943 | + | 0.685637i | \(0.240476\pi\) | |||||||
\(338\) | 201.541 | − | 126.637i | 0.596276 | − | 0.374665i | ||||
\(339\) | −116.423 | + | 56.0664i | −0.343431 | + | 0.165388i | ||||
\(340\) | −66.2643 | − | 23.1869i | −0.194895 | − | 0.0681967i | ||||
\(341\) | 962.344 | − | 219.649i | 2.82212 | − | 0.644131i | ||||
\(342\) | 389.953 | − | 488.985i | 1.14021 | − | 1.42978i | ||||
\(343\) | 232.748 | + | 291.856i | 0.678564 | + | 0.850893i | ||||
\(344\) | −52.2235 | + | 228.806i | −0.151813 | + | 0.665135i | ||||
\(345\) | 22.9200 | + | 14.4016i | 0.0664349 | + | 0.0417438i | ||||
\(346\) | −936.501 | − | 105.518i | −2.70665 | − | 0.304966i | ||||
\(347\) | 110.260i | 0.317751i | 0.987299 | + | 0.158876i | \(0.0507869\pi\) | ||||
−0.987299 | + | 0.158876i | \(0.949213\pi\) | |||||||
\(348\) | −143.821 | − | 10.3390i | −0.413279 | − | 0.0297098i | ||||
\(349\) | −132.174 | −0.378722 | −0.189361 | − | 0.981908i | \(-0.560642\pi\) | ||||
−0.189361 | + | 0.981908i | \(0.560642\pi\) | |||||||
\(350\) | −16.0793 | + | 142.708i | −0.0459409 | + | 0.407737i | ||||
\(351\) | −89.0563 | + | 141.732i | −0.253722 | + | 0.403796i | ||||
\(352\) | 34.5538 | + | 7.88669i | 0.0981643 | + | 0.0224054i | ||||
\(353\) | −50.9851 | + | 40.6592i | −0.144434 | + | 0.115182i | −0.693041 | − | 0.720898i | \(-0.743730\pi\) |
0.548608 | + | 0.836080i | \(0.315158\pi\) | |||||||
\(354\) | 1.93866 | + | 1.54603i | 0.00547644 | + | 0.00436732i | ||||
\(355\) | −35.0192 | − | 153.429i | −0.0986457 | − | 0.432195i | ||||
\(356\) | −193.443 | + | 552.829i | −0.543380 | + | 1.55289i | ||||
\(357\) | −2.30619 | − | 4.78885i | −0.00645991 | − | 0.0134141i | ||||
\(358\) | 363.252 | + | 578.112i | 1.01467 | + | 1.61484i | ||||
\(359\) | −109.932 | − | 314.168i | −0.306218 | − | 0.875120i | −0.989444 | − | 0.144914i | \(-0.953710\pi\) |
0.683227 | − | 0.730206i | \(-0.260576\pi\) | |||||||
\(360\) | 489.601 | − | 489.601i | 1.36000 | − | 1.36000i | ||||
\(361\) | 32.6651 | − | 67.8297i | 0.0904850 | − | 0.187894i | ||||
\(362\) | −232.535 | + | 26.2004i | −0.642361 | + | 0.0723767i | ||||
\(363\) | −16.7369 | − | 148.544i | −0.0461072 | − | 0.409213i | ||||
\(364\) | −631.051 | − | 303.898i | −1.73366 | − | 0.834885i | ||||
\(365\) | −306.335 | − | 306.335i | −0.839274 | − | 0.839274i | ||||
\(366\) | 47.0977 | − | 16.4802i | 0.128682 | − | 0.0450278i | ||||
\(367\) | 156.576 | − | 98.3835i | 0.426639 | − | 0.268075i | −0.301552 | − | 0.953450i | \(-0.597505\pi\) |
0.728190 | + | 0.685375i | \(0.240362\pi\) | |||||||
\(368\) | 116.891 | − | 56.2919i | 0.317640 | − | 0.152967i | ||||
\(369\) | 2.28453 | + | 0.799391i | 0.00619113 | + | 0.00216637i | ||||
\(370\) | −33.8670 | + | 7.72992i | −0.0915324 | + | 0.0208917i | ||||
\(371\) | −176.736 | + | 221.619i | −0.476376 | + | 0.597357i | ||||
\(372\) | 160.499 | + | 201.260i | 0.431450 | + | 0.541022i | ||||
\(373\) | −132.214 | + | 579.268i | −0.354462 | + | 1.55300i | 0.412289 | + | 0.911053i | \(0.364729\pi\) |
−0.766751 | + | 0.641945i | \(0.778128\pi\) | |||||||
\(374\) | 85.8253 | + | 53.9276i | 0.229480 | + | 0.144192i | ||||
\(375\) | −61.5213 | − | 6.93179i | −0.164057 | − | 0.0184848i | ||||
\(376\) | 43.6686i | 0.116140i | ||||||||
\(377\) | −431.359 | + | 116.987i | −1.14419 | + | 0.310310i | ||||
\(378\) | 212.563 | 0.562336 | ||||||||
\(379\) | 50.6720 | − | 449.726i | 0.133699 | − | 1.18661i | −0.730302 | − | 0.683124i | \(-0.760621\pi\) |
0.864002 | − | 0.503489i | \(-0.167951\pi\) | |||||||
\(380\) | 509.749 | − | 811.260i | 1.34144 | − | 2.13490i | ||||
\(381\) | −4.49621 | − | 1.02623i | −0.0118011 | − | 0.00269352i | ||||
\(382\) | 180.638 | − | 144.054i | 0.472875 | − | 0.377105i | ||||
\(383\) | −546.226 | − | 435.601i | −1.42618 | − | 1.13734i | −0.968734 | − | 0.248100i | \(-0.920194\pi\) |
−0.457443 | − | 0.889239i | \(-0.651235\pi\) | |||||||
\(384\) | −29.9623 | − | 131.274i | −0.0780269 | − | 0.341858i | ||||
\(385\) | 201.753 | − | 576.577i | 0.524034 | − | 1.49760i | ||||
\(386\) | 387.903 | + | 805.488i | 1.00493 | + | 2.08676i | ||||
\(387\) | −76.1993 | − | 121.270i | −0.196897 | − | 0.313360i | ||||
\(388\) | −329.833 | − | 942.609i | −0.850085 | − | 2.42940i | ||||
\(389\) | 290.889 | − | 290.889i | 0.747786 | − | 0.747786i | −0.226277 | − | 0.974063i | \(-0.572655\pi\) |
0.974063 | + | 0.226277i | \(0.0726554\pi\) | |||||||
\(390\) | −81.4211 | + | 169.073i | −0.208772 | + | 0.433520i | ||||
\(391\) | 11.7446 | − | 1.32330i | 0.0300374 | − | 0.00338440i | ||||
\(392\) | −27.2918 | − | 242.221i | −0.0696218 | − | 0.617911i | ||||
\(393\) | 10.6992 | + | 5.15248i | 0.0272245 | + | 0.0131106i | ||||
\(394\) | 133.360 | + | 133.360i | 0.338477 | + | 0.338477i | ||||
\(395\) | 155.120 | − | 54.2790i | 0.392710 | − | 0.137415i | ||||
\(396\) | −1122.50 | + | 705.312i | −2.83459 | + | 1.78109i | ||||
\(397\) | −331.592 | + | 159.686i | −0.835245 | + | 0.402233i | −0.802080 | − | 0.597217i | \(-0.796273\pi\) |
−0.0331653 | + | 0.999450i | \(0.510559\pi\) | |||||||
\(398\) | −206.288 | − | 72.1831i | −0.518310 | − | 0.181365i | ||||
\(399\) | 70.7214 | − | 16.1417i | 0.177247 | − | 0.0404554i | ||||
\(400\) | 76.8646 | − | 96.3851i | 0.192161 | − | 0.240963i | ||||
\(401\) | −337.498 | − | 423.209i | −0.841641 | − | 1.05538i | −0.997710 | − | 0.0676387i | \(-0.978453\pi\) |
0.156068 | − | 0.987746i | \(-0.450118\pi\) | |||||||
\(402\) | 2.40371 | − | 10.5313i | 0.00597938 | − | 0.0261974i | ||||
\(403\) | 675.608 | + | 424.513i | 1.67645 | + | 1.05338i | ||||
\(404\) | 1111.68 | + | 125.256i | 2.75168 | + | 0.310040i | ||||
\(405\) | 403.101i | 0.995311i | ||||||||
\(406\) | 417.220 | + | 384.774i | 1.02764 | + | 0.947719i | ||||
\(407\) | 33.5288 | 0.0823803 | ||||||||
\(408\) | −1.49200 | + | 13.2418i | −0.00365685 | + | 0.0324555i | ||||
\(409\) | 70.7312 | − | 112.568i | 0.172937 | − | 0.275227i | −0.748998 | − | 0.662572i | \(-0.769465\pi\) |
0.921935 | + | 0.387345i | \(0.126608\pi\) | |||||||
\(410\) | 5.40736 | + | 1.23419i | 0.0131887 | + | 0.00301023i | ||||
\(411\) | 31.6528 | − | 25.2423i | 0.0770142 | − | 0.0614168i | ||||
\(412\) | 606.655 | + | 483.791i | 1.47246 | + | 1.17425i | ||||
\(413\) | −1.45188 | − | 6.36109i | −0.00351544 | − | 0.0154022i | ||||
\(414\) | −76.3710 | + | 218.256i | −0.184471 | + | 0.527188i | ||||
\(415\) | 56.9164 | + | 118.188i | 0.137148 | + | 0.284791i | ||||
\(416\) | 15.2425 | + | 24.2583i | 0.0366407 | + | 0.0583133i | ||||
\(417\) | 36.7991 | + | 105.166i | 0.0882473 | + | 0.252196i | ||||
\(418\) | −978.173 | + | 978.173i | −2.34013 | + | 2.34013i | ||||
\(419\) | −236.230 | + | 490.537i | −0.563795 | + | 1.17073i | 0.403004 | + | 0.915198i | \(0.367966\pi\) |
−0.966800 | + | 0.255535i | \(0.917748\pi\) | |||||||
\(420\) | 158.302 | − | 17.8364i | 0.376910 | − | 0.0424675i | ||||
\(421\) | 12.9846 | + | 115.241i | 0.0308422 | + | 0.273732i | 0.999663 | + | 0.0259687i | \(0.00826704\pi\) |
−0.968821 | + | 0.247764i | \(0.920304\pi\) | |||||||
\(422\) | −147.738 | − | 71.1469i | −0.350090 | − | 0.168594i | ||||
\(423\) | −18.8439 | − | 18.8439i | −0.0445483 | − | 0.0445483i | ||||
\(424\) | 670.779 | − | 234.716i | 1.58203 | − | 0.553575i | ||||
\(425\) | 9.50920 | − | 5.97503i | 0.0223746 | − | 0.0140589i | ||||
\(426\) | −53.3881 | + | 25.7104i | −0.125324 | + | 0.0603530i | ||||
\(427\) | −123.928 | − | 43.3643i | −0.290230 | − | 0.101556i | ||||
\(428\) | −1093.33 | + | 249.546i | −2.55452 | + | 0.583052i | ||||
\(429\) | 112.929 | − | 141.609i | 0.263239 | − | 0.330091i | ||||
\(430\) | −204.634 | − | 256.602i | −0.475892 | − | 0.596750i | ||||
\(431\) | 99.9880 | − | 438.076i | 0.231991 | − | 1.01642i | −0.715995 | − | 0.698105i | \(-0.754027\pi\) |
0.947986 | − | 0.318312i | \(-0.103116\pi\) | |||||||
\(432\) | −154.504 | − | 97.0812i | −0.357648 | − | 0.224725i | ||||
\(433\) | −23.7882 | − | 2.68029i | −0.0549382 | − | 0.00619004i | 0.0844526 | − | 0.996427i | \(-0.473086\pi\) |
−0.139391 | + | 0.990237i | \(0.544514\pi\) | |||||||
\(434\) | − | 1013.24i | − | 2.33466i | ||||||
\(435\) | 68.9153 | − | 74.7267i | 0.158426 | − | 0.171785i | ||||
\(436\) | 997.980 | 2.28895 | ||||||||
\(437\) | −18.0599 | + | 160.286i | −0.0413270 | + | 0.366787i | ||||
\(438\) | −86.7857 | + | 138.119i | −0.198141 | + | 0.315339i | ||||
\(439\) | 467.042 | + | 106.599i | 1.06388 | + | 0.242823i | 0.718418 | − | 0.695612i | \(-0.244866\pi\) |
0.345458 | + | 0.938434i | \(0.387724\pi\) | |||||||
\(440\) | −1197.34 | + | 954.850i | −2.72124 | + | 2.17011i | ||||
\(441\) | 116.301 | + | 92.7466i | 0.263720 | + | 0.210310i | ||||
\(442\) | 18.2322 | + | 79.8806i | 0.0412494 | + | 0.180725i | ||||
\(443\) | 122.406 | − | 349.816i | 0.276311 | − | 0.789653i | −0.719182 | − | 0.694822i | \(-0.755483\pi\) |
0.995493 | − | 0.0948309i | \(-0.0302310\pi\) | |||||||
\(444\) | 3.79383 | + | 7.87797i | 0.00854466 | + | 0.0177432i | ||||
\(445\) | −219.680 | − | 349.618i | −0.493662 | − | 0.785659i | ||||
\(446\) | 333.571 | + | 953.292i | 0.747917 | + | 2.13742i | ||||
\(447\) | 86.5336 | − | 86.5336i | 0.193587 | − | 0.193587i | ||||
\(448\) | −148.494 | + | 308.350i | −0.331459 | + | 0.688282i | ||||
\(449\) | 320.265 | − | 36.0852i | 0.713285 | − | 0.0803679i | 0.252138 | − | 0.967691i | \(-0.418866\pi\) |
0.461148 | + | 0.887323i | \(0.347438\pi\) | |||||||
\(450\) | 24.6009 | + | 218.339i | 0.0546687 | + | 0.485198i | ||||
\(451\) | −4.82321 | − | 2.32274i | −0.0106945 | − | 0.00515019i | ||||
\(452\) | −1195.70 | − | 1195.70i | −2.64536 | − | 2.64536i | ||||
\(453\) | −41.6448 | + | 14.5721i | −0.0919310 | + | 0.0321681i | ||||
\(454\) | 162.382 | − | 102.031i | 0.357669 | − | 0.224738i | ||||
\(455\) | 444.881 | − | 214.244i | 0.977761 | − | 0.470865i | ||||
\(456\) | −171.658 | − | 60.0656i | −0.376442 | − | 0.131723i | ||||
\(457\) | −259.574 | + | 59.2460i | −0.567995 | + | 0.129641i | −0.496868 | − | 0.867826i | \(-0.665517\pi\) |
−0.0711271 | + | 0.997467i | \(0.522660\pi\) | |||||||
\(458\) | 567.548 | − | 711.682i | 1.23919 | − | 1.55389i | ||||
\(459\) | −10.3641 | − | 12.9962i | −0.0225797 | − | 0.0283141i | ||||
\(460\) | −78.8231 | + | 345.347i | −0.171355 | + | 0.750754i | ||||
\(461\) | −476.625 | − | 299.484i | −1.03389 | − | 0.649639i | −0.0955801 | − | 0.995422i | \(-0.530471\pi\) |
−0.938315 | + | 0.345783i | \(0.887613\pi\) | |||||||
\(462\) | −228.559 | − | 25.7524i | −0.494717 | − | 0.0557412i | ||||
\(463\) | 475.767i | 1.02757i | 0.857918 | + | 0.513787i | \(0.171758\pi\) | ||||
−0.857918 | + | 0.513787i | \(0.828242\pi\) | |||||||
\(464\) | −127.528 | − | 470.229i | −0.274846 | − | 1.01342i | ||||
\(465\) | −181.478 | −0.390275 | ||||||||
\(466\) | 93.7323 | − | 831.897i | 0.201142 | − | 1.78519i | ||||
\(467\) | −446.325 | + | 710.323i | −0.955729 | + | 1.52103i | −0.105633 | + | 0.994405i | \(0.533687\pi\) |
−0.850095 | + | 0.526629i | \(0.823456\pi\) | |||||||
\(468\) | −1044.75 | − | 238.457i | −2.23237 | − | 0.509523i | ||||
\(469\) | −22.2226 | + | 17.7219i | −0.0473829 | + | 0.0377866i | ||||
\(470\) | −47.7457 | − | 38.0760i | −0.101587 | − | 0.0810127i | ||||
\(471\) | 10.2027 | + | 44.7010i | 0.0216618 | + | 0.0949066i | ||||
\(472\) | −5.40265 | + | 15.4399i | −0.0114463 | + | 0.0327116i | ||||
\(473\) | 137.447 | + | 285.411i | 0.290585 | + | 0.603406i | ||||
\(474\) | −32.9221 | − | 52.3952i | −0.0694559 | − | 0.110538i | ||||
\(475\) | 50.6221 | + | 144.670i | 0.106573 | + | 0.304568i | ||||
\(476\) | 49.1831 | − | 49.1831i | 0.103326 | − | 0.103326i | ||||
\(477\) | −188.171 | + | 390.740i | −0.394488 | + | 0.819162i | ||||
\(478\) | 961.011 | − | 108.280i | 2.01048 | − | 0.226527i | ||||
\(479\) | 67.6166 | + | 600.114i | 0.141162 | + | 1.25285i | 0.841981 | + | 0.539508i | \(0.181390\pi\) |
−0.700818 | + | 0.713340i | \(0.747182\pi\) | |||||||
\(480\) | −5.87083 | − | 2.82724i | −0.0122309 | − | 0.00589009i | ||||
\(481\) | 19.1645 | + | 19.1645i | 0.0398431 | + | 0.0398431i | ||||
\(482\) | 610.827 | − | 213.738i | 1.26728 | − | 0.443439i | ||||
\(483\) | −22.7083 | + | 14.2686i | −0.0470151 | + | 0.0295416i | ||||
\(484\) | 1762.44 | − | 848.746i | 3.64140 | − | 1.75361i | ||||
\(485\) | 664.524 | + | 232.527i | 1.37015 | + | 0.479437i | ||||
\(486\) | 479.011 | − | 109.331i | 0.985620 | − | 0.224961i | ||||
\(487\) | −154.254 | + | 193.429i | −0.316744 | + | 0.397185i | −0.914561 | − | 0.404448i | \(-0.867464\pi\) |
0.597817 | + | 0.801633i | \(0.296035\pi\) | |||||||
\(488\) | 205.233 | + | 257.354i | 0.420559 | + | 0.527365i | ||||
\(489\) | −30.6677 | + | 134.364i | −0.0627152 | + | 0.274773i | ||||
\(490\) | 288.633 | + | 181.360i | 0.589046 | + | 0.370122i | ||||
\(491\) | 713.303 | + | 80.3699i | 1.45276 | + | 0.163686i | 0.802783 | − | 0.596272i | \(-0.203352\pi\) |
0.649972 | + | 0.759958i | \(0.274780\pi\) | |||||||
\(492\) | − | 1.39609i | − | 0.00283758i | ||||||
\(493\) | 3.18246 | − | 44.2697i | 0.00645530 | − | 0.0897966i | ||||
\(494\) | −1118.22 | −2.26360 | ||||||||
\(495\) | 104.641 | − | 928.718i | 0.211397 | − | 1.87620i | ||||
\(496\) | −462.766 | + | 736.487i | −0.932995 | + | 1.48485i | ||||
\(497\) | 152.012 | + | 34.6957i | 0.305859 | + | 0.0698103i | ||||
\(498\) | 38.6168 | − | 30.7959i | 0.0775438 | − | 0.0618391i | ||||
\(499\) | −321.823 | − | 256.645i | −0.644936 | − | 0.514319i | 0.245519 | − | 0.969392i | \(-0.421042\pi\) |
−0.890454 | + | 0.455073i | \(0.849613\pi\) | |||||||
\(500\) | −180.279 | − | 789.854i | −0.360558 | − | 1.57971i | ||||
\(501\) | 10.9387 | − | 31.2610i | 0.0218338 | − | 0.0623973i | ||||
\(502\) | −379.744 | − | 788.547i | −0.756462 | − | 1.57081i | ||||
\(503\) | −242.724 | − | 386.293i | −0.482552 | − | 0.767977i | 0.513372 | − | 0.858166i | \(-0.328396\pi\) |
−0.995925 | + | 0.0901884i | \(0.971253\pi\) | |||||||
\(504\) | 226.573 | + | 647.508i | 0.449549 | + | 1.28474i | ||||
\(505\) | −557.677 | + | 557.677i | −1.10431 | + | 1.10431i | ||||
\(506\) | 221.906 | − | 460.792i | 0.438549 | − | 0.910656i | ||||
\(507\) | 41.9723 | − | 4.72914i | 0.0827855 | − | 0.00932769i | ||||
\(508\) | −6.75715 | − | 59.9714i | −0.0133015 | − | 0.118054i | ||||
\(509\) | 99.8145 | + | 48.0681i | 0.196099 | + | 0.0944364i | 0.529356 | − | 0.848400i | \(-0.322433\pi\) |
−0.333257 | + | 0.942836i | \(0.608148\pi\) | |||||||
\(510\) | −13.1772 | − | 13.1772i | −0.0258377 | − | 0.0258377i | ||||
\(511\) | 405.134 | − | 141.763i | 0.792827 | − | 0.277422i | ||||
\(512\) | 777.298 | − | 488.409i | 1.51816 | − | 0.953923i | ||||
\(513\) | 204.395 | − | 98.4312i | 0.398430 | − | 0.191874i | ||||
\(514\) | 381.383 | + | 133.452i | 0.741991 | + | 0.259634i | ||||
\(515\) | −533.311 | + | 121.725i | −1.03555 | + | 0.236359i | ||||
\(516\) | −51.5083 | + | 64.5893i | −0.0998222 | + | 0.125173i | ||||
\(517\) | 36.7506 | + | 46.0838i | 0.0710843 | + | 0.0891369i | ||||
\(518\) | 7.65852 | − | 33.5542i | 0.0147848 | − | 0.0647764i | ||||
\(519\) | −141.602 | − | 88.9744i | −0.272836 | − | 0.171434i | ||||
\(520\) | −1230.16 | − | 138.606i | −2.36569 | − | 0.266549i | ||||
\(521\) | 119.063i | 0.228527i | 0.993450 | + | 0.114263i | \(0.0364508\pi\) | ||||
−0.993450 | + | 0.114263i | \(0.963549\pi\) | |||||||
\(522\) | 753.328 | + | 431.891i | 1.44316 | + | 0.827377i | ||||
\(523\) | −995.924 | −1.90425 | −0.952126 | − | 0.305705i | \(-0.901108\pi\) | ||||
−0.952126 | + | 0.305705i | \(0.901108\pi\) | |||||||
\(524\) | −17.3993 | + | 154.423i | −0.0332049 | + | 0.294701i | ||||
\(525\) | −13.5583 | + | 21.5779i | −0.0258253 | + | 0.0411007i | ||||
\(526\) | 507.918 | + | 115.929i | 0.965623 | + | 0.220397i | ||||
\(527\) | −61.9500 | + | 49.4035i | −0.117552 | + | 0.0937448i | ||||
\(528\) | 154.369 | + | 123.105i | 0.292366 | + | 0.233154i | ||||
\(529\) | 104.444 | + | 457.597i | 0.197436 | + | 0.865023i | ||||
\(530\) | −328.242 | + | 938.061i | −0.619324 | + | 1.76993i | ||||
\(531\) | −4.33128 | − | 8.99400i | −0.00815684 | − | 0.0169378i | ||||
\(532\) | 505.040 | + | 803.766i | 0.949323 | + | 1.51084i | ||||
\(533\) | −1.42923 | − | 4.08451i | −0.00268148 | − | 0.00766324i | ||||
\(534\) | −109.935 | + | 109.935i | −0.205871 | + | 0.205871i | ||||
\(535\) | 343.031 | − | 712.311i | 0.641179 | − | 1.33142i | ||||
\(536\) | 70.8123 | − | 7.97863i | 0.132112 | − | 0.0148855i | ||||
\(537\) | 13.5653 | + | 120.396i | 0.0252613 | + | 0.224200i | ||||
\(538\) | −1347.03 | − | 648.695i | −2.50377 | − | 1.20575i | ||||
\(539\) | −232.649 | − | 232.649i | −0.431632 | − | 0.431632i | ||||
\(540\) | 470.246 | − | 164.546i | 0.870827 | − | 0.304715i | ||||
\(541\) | −416.895 | + | 261.953i | −0.770601 | + | 0.484201i | −0.859057 | − | 0.511879i | \(-0.828949\pi\) |
0.0884564 | + | 0.996080i | \(0.471807\pi\) | |||||||
\(542\) | −855.021 | + | 411.756i | −1.57753 | + | 0.759698i | ||||
\(543\) | −39.1945 | − | 13.7147i | −0.0721814 | − | 0.0252574i | ||||
\(544\) | −2.77375 | + | 0.633090i | −0.00509880 | + | 0.00116377i | ||||
\(545\) | −438.663 | + | 550.066i | −0.804886 | + | 1.00929i | ||||
\(546\) | −115.921 | − | 145.361i | −0.212310 | − | 0.266228i | ||||
\(547\) | 145.992 | − | 639.634i | 0.266896 | − | 1.16935i | −0.646706 | − | 0.762739i | \(-0.723854\pi\) |
0.913602 | − | 0.406609i | \(-0.133289\pi\) | |||||||
\(548\) | 448.591 | + | 281.869i | 0.818597 | + | 0.514359i | ||||
\(549\) | −199.616 | − | 22.4914i | −0.363600 | − | 0.0409679i | ||||
\(550\) | − | 485.981i | − | 0.883602i | ||||||
\(551\) | 579.364 | + | 176.786i | 1.05148 | + | 0.320846i | ||||
\(552\) | 67.2371 | 0.121806 | ||||||||
\(553\) | −18.2306 | + | 161.801i | −0.0329667 | + | 0.292587i | ||||
\(554\) | −826.069 | + | 1314.68i | −1.49110 | + | 2.37307i | ||||
\(555\) | −6.00975 | − | 1.37169i | −0.0108284 | − | 0.00247151i | ||||
\(556\) | −1139.93 | + | 909.065i | −2.05024 | + | 1.63501i | ||||
\(557\) | −456.764 | − | 364.257i | −0.820043 | − | 0.653962i | 0.120849 | − | 0.992671i | \(-0.461438\pi\) |
−0.940891 | + | 0.338709i | \(0.890010\pi\) | |||||||
\(558\) | −344.960 | − | 1511.37i | −0.618207 | − | 2.70854i | ||||
\(559\) | −84.5740 | + | 241.699i | −0.151295 | + | 0.432377i | ||||
\(560\) | 233.549 | + | 484.970i | 0.417052 | + | 0.866017i | ||||
\(561\) | 9.56953 | + | 15.2298i | 0.0170580 | + | 0.0271476i | ||||
\(562\) | 185.969 | + | 531.470i | 0.330906 | + | 0.945676i | ||||
\(563\) | 240.446 | − | 240.446i | 0.427080 | − | 0.427080i | −0.460552 | − | 0.887633i | \(-0.652349\pi\) |
0.887633 | + | 0.460552i | \(0.152349\pi\) | |||||||
\(564\) | −6.66953 | + | 13.8494i | −0.0118254 | + | 0.0245557i | ||||
\(565\) | 1184.62 | − | 133.475i | 2.09667 | − | 0.236238i | ||||
\(566\) | −168.850 | − | 1498.59i | −0.298322 | − | 2.64768i | ||||
\(567\) | −359.826 | − | 173.283i | −0.634614 | − | 0.305614i | ||||
\(568\) | −276.412 | − | 276.412i | −0.486641 | − | 0.486641i | ||||
\(569\) | −70.7181 | + | 24.7453i | −0.124285 | + | 0.0434891i | −0.391705 | − | 0.920091i | \(-0.628115\pi\) |
0.267420 | + | 0.963580i | \(0.413829\pi\) | |||||||
\(570\) | 215.347 | − | 135.311i | 0.377802 | − | 0.237388i | ||||
\(571\) | −396.867 | + | 191.121i | −0.695038 | + | 0.334713i | −0.747828 | − | 0.663893i | \(-0.768903\pi\) |
0.0527893 | + | 0.998606i | \(0.483189\pi\) | |||||||
\(572\) | 2237.20 | + | 782.831i | 3.91119 | + | 1.36859i | ||||
\(573\) | 39.9713 | − | 9.12320i | 0.0697580 | − | 0.0159218i | ||||
\(574\) | −3.42619 | + | 4.29631i | −0.00596897 | + | 0.00748486i | ||||
\(575\) | −35.3308 | − | 44.3034i | −0.0614448 | − | 0.0770494i | ||||
\(576\) | −116.517 | + | 510.494i | −0.202286 | + | 0.886275i | ||||
\(577\) | −711.295 | − | 446.936i | −1.23275 | − | 0.774586i | −0.251597 | − | 0.967832i | \(-0.580956\pi\) |
−0.981150 | + | 0.193246i | \(0.938099\pi\) | |||||||
\(578\) | 989.491 | + | 111.489i | 1.71192 | + | 0.192887i | ||||
\(579\) | 158.646i | 0.274000i | ||||||||
\(580\) | 1220.86 | + | 528.250i | 2.10493 | + | 0.910776i | ||||
\(581\) | −129.967 | −0.223696 | ||||||||
\(582\) | 29.6805 | − | 263.422i | 0.0509975 | − | 0.452615i | ||||
\(583\) | 510.346 | − | 812.210i | 0.875378 | − | 1.39316i | ||||
\(584\) | −1049.11 | − | 239.452i | −1.79642 | − | 0.410020i | ||||
\(585\) | 590.651 | − | 471.029i | 1.00966 | − | 0.805177i | ||||
\(586\) | 529.861 | + | 422.550i | 0.904200 | + | 0.721075i | ||||
\(587\) | 260.514 | + | 1141.39i | 0.443806 | + | 1.94444i | 0.294514 | + | 0.955647i | \(0.404842\pi\) |
0.149292 | + | 0.988793i | \(0.452301\pi\) | |||||||
\(588\) | 28.3390 | − | 80.9882i | 0.0481956 | − | 0.137735i | ||||
\(589\) | −469.201 | − | 974.306i | −0.796606 | − | 1.65417i | ||||
\(590\) | −12.1707 | − | 19.3695i | −0.0206283 | − | 0.0328297i | ||||
\(591\) | 11.0535 | + | 31.5892i | 0.0187031 | + | 0.0534503i | ||||
\(592\) | −20.8914 | + | 20.8914i | −0.0352896 | + | 0.0352896i | ||||
\(593\) | −158.384 | + | 328.888i | −0.267089 | + | 0.554617i | −0.990776 | − | 0.135512i | \(-0.956732\pi\) |
0.723686 | + | 0.690129i | \(0.242446\pi\) | |||||||
\(594\) | −714.793 | + | 80.5378i | −1.20336 | + | 0.135586i | ||||
\(595\) | 5.49023 | + | 48.7271i | 0.00922727 | + | 0.0818943i | ||||
\(596\) | 1442.84 | + | 694.836i | 2.42088 | + | 1.16583i | ||||
\(597\) | −27.4233 | − | 27.4233i | −0.0459351 | − | 0.0459351i | ||||
\(598\) | 390.219 | − | 136.544i | 0.652540 | − | 0.228334i | ||||
\(599\) | 221.090 | − | 138.920i | 0.369098 | − | 0.231920i | −0.334692 | − | 0.942328i | \(-0.608632\pi\) |
0.703790 | + | 0.710408i | \(0.251489\pi\) | |||||||
\(600\) | 57.5629 | − | 27.7208i | 0.0959382 | − | 0.0462014i | ||||
\(601\) | −942.786 | − | 329.895i | −1.56869 | − | 0.548910i | −0.600612 | − | 0.799541i | \(-0.705076\pi\) |
−0.968083 | + | 0.250631i | \(0.919362\pi\) | |||||||
\(602\) | 317.022 | − | 72.3582i | 0.526615 | − | 0.120196i | ||||
\(603\) | −27.1141 | + | 34.0000i | −0.0449653 | + | 0.0563847i | ||||
\(604\) | −359.982 | − | 451.403i | −0.595997 | − | 0.747356i | ||||
\(605\) | −306.870 | + | 1344.49i | −0.507223 | + | 2.22229i | ||||
\(606\) | 251.442 | + | 157.992i | 0.414922 | + | 0.260713i | ||||
\(607\) | 784.036 | + | 88.3397i | 1.29166 | + | 0.145535i | 0.730922 | − | 0.682460i | \(-0.239090\pi\) |
0.560735 | + | 0.827995i | \(0.310519\pi\) | |||||||
\(608\) | − | 38.8286i | − | 0.0638628i | ||||||
\(609\) | 37.0794 | + | 93.6401i | 0.0608858 | + | 0.153760i | ||||
\(610\) | −460.331 | −0.754640 | ||||||||
\(611\) | −5.33470 | + | 47.3468i | −0.00873110 | + | 0.0774907i | ||||
\(612\) | 56.6177 | − | 90.1065i | 0.0925126 | − | 0.147233i | ||||
\(613\) | −541.445 | − | 123.581i | −0.883270 | − | 0.201601i | −0.243255 | − | 0.969962i | \(-0.578215\pi\) |
−0.640016 | + | 0.768362i | \(0.721072\pi\) | |||||||
\(614\) | −989.623 | + | 789.198i | −1.61176 | + | 1.28534i | ||||
\(615\) | 0.769494 | + | 0.613651i | 0.00125121 | + | 0.000997807i | ||||
\(616\) | −337.634 | − | 1479.27i | −0.548107 | − | 2.40141i | ||||
\(617\) | 310.899 | − | 888.498i | 0.503888 | − | 1.44003i | −0.358379 | − | 0.933576i | \(-0.616670\pi\) |
0.862267 | − | 0.506454i | \(-0.169044\pi\) | |||||||
\(618\) | 89.3676 | + | 185.574i | 0.144608 | + | 0.300281i | ||||
\(619\) | 102.702 | + | 163.450i | 0.165916 | + | 0.264055i | 0.919326 | − | 0.393497i | \(-0.128735\pi\) |
−0.753409 | + | 0.657552i | \(0.771592\pi\) | |||||||
\(620\) | −784.358 | − | 2241.57i | −1.26509 | − | 3.61543i | ||||
\(621\) | −59.3074 | + | 59.3074i | −0.0955031 | + | 0.0955031i | ||||
\(622\) | 193.440 | − | 401.683i | 0.310997 | − | 0.645792i | ||||
\(623\) | 406.520 | − | 45.8038i | 0.652520 | − | 0.0735214i | ||||
\(624\) | 17.8699 | + | 158.600i | 0.0286377 | + | 0.254167i | ||||
\(625\) | 679.874 | + | 327.410i | 1.08780 | + | 0.523856i | ||||
\(626\) | −126.782 | − | 126.782i | −0.202528 | − | 0.202528i | ||||
\(627\) | −231.701 | + | 81.0758i | −0.369540 | + | 0.129307i | ||||
\(628\) | −508.038 | + | 319.222i | −0.808978 | + | 0.508315i | ||||
\(629\) | −2.42492 | + | 1.16778i | −0.00385521 | + | 0.00185657i | ||||
\(630\) | −905.518 | − | 316.855i | −1.43733 | − | 0.502944i | ||||
\(631\) | 1062.78 | − | 242.573i | 1.68428 | − | 0.384427i | 0.730028 | − | 0.683418i | \(-0.239507\pi\) |
0.954256 | + | 0.298991i | \(0.0966501\pi\) | |||||||
\(632\) | 254.516 | − | 319.153i | 0.402716 | − | 0.504990i | ||||
\(633\) | −18.1423 | − | 22.7497i | −0.0286607 | − | 0.0359394i | ||||
\(634\) | −7.28197 | + | 31.9044i | −0.0114858 | + | 0.0503224i | ||||
\(635\) | 36.0251 | + | 22.6360i | 0.0567324 | + | 0.0356473i | ||||
\(636\) | 248.584 | + | 28.0087i | 0.390856 | + | 0.0440389i | ||||
\(637\) | − | 265.957i | − | 0.417515i | ||||||
\(638\) | −1548.79 | − | 1135.81i | −2.42757 | − | 1.78027i | ||||
\(639\) | 238.555 | 0.373326 | ||||||||
\(640\) | −139.083 | + | 1234.40i | −0.217317 | + | 1.92874i | ||||
\(641\) | −194.352 | + | 309.310i | −0.303202 | + | 0.482543i | −0.963223 | − | 0.268704i | \(-0.913405\pi\) |
0.660021 | + | 0.751247i | \(0.270547\pi\) | |||||||
\(642\) | −290.223 | − | 66.2414i | −0.452060 | − | 0.103180i | ||||
\(643\) | 340.752 | − | 271.740i | 0.529940 | − | 0.422613i | −0.321621 | − | 0.946869i | \(-0.604228\pi\) |
0.851561 | + | 0.524255i | \(0.175656\pi\) | |||||||
\(644\) | −274.388 | − | 218.817i | −0.426069 | − | 0.339778i | ||||
\(645\) | −12.9598 | − | 56.7805i | −0.0200927 | − | 0.0880318i | ||||
\(646\) | 36.6760 | − | 104.814i | 0.0567740 | − | 0.162251i | ||||
\(647\) | 278.913 | + | 579.169i | 0.431087 | + | 0.895161i | 0.997475 | + | 0.0710220i | \(0.0226261\pi\) |
−0.566388 | + | 0.824139i | \(0.691660\pi\) | |||||||
\(648\) | 532.706 | + | 847.796i | 0.822077 | + | 1.30833i | ||||
\(649\) | 7.29243 | + | 20.8406i | 0.0112364 | + | 0.0321118i | ||||
\(650\) | 277.779 | − | 277.779i | 0.427352 | − | 0.427352i | ||||
\(651\) | 78.0129 | − | 161.996i | 0.119836 | − | 0.248841i | ||||
\(652\) | −1792.18 | + | 201.930i | −2.74874 | + | 0.309708i | ||||
\(653\) | 32.7552 | + | 290.711i | 0.0501612 | + | 0.445193i | 0.993541 | + | 0.113477i | \(0.0361988\pi\) |
−0.943379 | + | 0.331716i | \(0.892373\pi\) | |||||||
\(654\) | 238.677 | + | 114.941i | 0.364949 | + | 0.175750i | ||||
\(655\) | −77.4671 | − | 77.4671i | −0.118270 | − | 0.118270i | ||||
\(656\) | 4.45256 | − | 1.55802i | 0.00678744 | − | 0.00237503i | ||||
\(657\) | 556.041 | − | 349.384i | 0.846333 | − | 0.531786i | ||||
\(658\) | 54.5131 | − | 26.2521i | 0.0828466 | − | 0.0398968i | ||||
\(659\) | 65.2168 | + | 22.8203i | 0.0989632 | + | 0.0346287i | 0.379307 | − | 0.925271i | \(-0.376163\pi\) |
−0.280343 | + | 0.959900i | \(0.590448\pi\) | |||||||
\(660\) | −525.570 | + | 119.958i | −0.796318 | + | 0.181754i | ||||
\(661\) | 515.047 | − | 645.849i | 0.779194 | − | 0.977078i | −0.220804 | − | 0.975318i | \(-0.570868\pi\) |
0.999998 | − | 0.00176027i | \(-0.000560312\pi\) | |||||||
\(662\) | 791.777 | + | 992.857i | 1.19604 | + | 1.49978i | ||||
\(663\) | −3.23533 | + | 14.1749i | −0.00487984 | + | 0.0213800i | ||||
\(664\) | 275.894 | + | 173.356i | 0.415503 | + | 0.261078i | ||||
\(665\) | −665.009 | − | 74.9285i | −1.00001 | − | 0.112675i | ||||
\(666\) | − | 52.6572i | − | 0.0790648i | ||||||
\(667\) | −223.765 | + | 9.05292i | −0.335480 | + | 0.0135726i | ||||
\(668\) | 433.406 | 0.648811 | ||||||||
\(669\) | −20.0663 | + | 178.093i | −0.0299945 | + | 0.266208i | ||||
\(670\) | −53.0198 | + | 84.3805i | −0.0791340 | + | 0.125941i | ||||
\(671\) | 433.168 | + | 98.8677i | 0.645555 | + | 0.147344i | ||||
\(672\) | 5.04745 | − | 4.02521i | 0.00751109 | − | 0.00598990i | ||||
\(673\) | 716.861 | + | 571.677i | 1.06517 | + | 0.849446i | 0.989039 | − | 0.147651i | \(-0.0471713\pi\) |
0.0761326 | + | 0.997098i | \(0.475743\pi\) | |||||||
\(674\) | 239.984 | + | 1051.44i | 0.356059 | + | 1.56000i | ||||
\(675\) | −26.3226 | + | 75.2257i | −0.0389965 | + | 0.111446i | ||||
\(676\) | 239.820 | + | 497.990i | 0.354763 | + | 0.736672i | ||||
\(677\) | −214.274 | − | 341.016i | −0.316506 | − | 0.503716i | 0.650146 | − | 0.759809i | \(-0.274708\pi\) |
−0.966652 | + | 0.256093i | \(0.917565\pi\) | |||||||
\(678\) | −148.251 | − | 423.678i | −0.218660 | − | 0.624894i | ||||
\(679\) | −493.227 | + | 493.227i | −0.726402 | + | 0.726402i | ||||
\(680\) | 53.3396 | − | 110.761i | 0.0784406 | − | 0.162884i | ||||
\(681\) | 33.8170 | − | 3.81026i | 0.0496578 | − | 0.00559509i | ||||
\(682\) | 383.907 | + | 3407.27i | 0.562913 | + | 4.99599i | ||||
\(683\) | −289.662 | − | 139.494i | −0.424102 | − | 0.204237i | 0.209644 | − | 0.977778i | \(-0.432769\pi\) |
−0.633746 | + | 0.773541i | \(0.718484\pi\) | |||||||
\(684\) | 1026.97 | + | 1026.97i | 1.50141 | + | 1.50141i | ||||
\(685\) | −352.539 | + | 123.359i | −0.514655 | + | 0.180086i | ||||
\(686\) | −1097.96 | + | 689.893i | −1.60052 | + | 1.00567i | ||||
\(687\) | 145.533 | − | 70.0851i | 0.211839 | − | 0.102016i | ||||
\(688\) | −263.478 | − | 92.1950i | −0.382963 | − | 0.134004i | ||||
\(689\) | 755.952 | − | 172.541i | 1.09717 | − | 0.250422i | ||||
\(690\) | −58.6260 | + | 73.5147i | −0.0849653 | + | 0.106543i | ||||
\(691\) | −601.397 | − | 754.128i | −0.870328 | − | 1.09136i | −0.995071 | − | 0.0991680i | \(-0.968382\pi\) |
0.124742 | − | 0.992189i | \(-0.460190\pi\) | |||||||
\(692\) | 486.976 | − | 2133.58i | 0.703722 | − | 3.08321i | ||||
\(693\) | 784.033 | + | 492.641i | 1.13136 | + | 0.710881i | ||||
\(694\) | −380.597 | − | 42.8829i | −0.548410 | − | 0.0617910i | ||||
\(695\) | − | 1027.89i | − | 1.47897i | ||||||
\(696\) | 46.1890 | − | 248.237i | 0.0663635 | − | 0.356662i | ||||
\(697\) | 0.429731 | 0.000616544 | ||||||||
\(698\) | 51.4060 | − | 456.241i | 0.0736476 | − | 0.653640i | ||||
\(699\) | 79.0362 | − | 125.785i | 0.113070 | − | 0.179951i | ||||
\(700\) | −325.124 | − | 74.2074i | −0.464462 | − | 0.106011i | ||||
\(701\) | 236.940 | − | 188.954i | 0.338004 | − | 0.269549i | −0.439747 | − | 0.898122i | \(-0.644932\pi\) |
0.777751 | + | 0.628573i | \(0.216361\pi\) | |||||||
\(702\) | −454.598 | − | 362.530i | −0.647576 | − | 0.516425i | ||||
\(703\) | −8.17366 | − | 35.8111i | −0.0116268 | − | 0.0509405i | ||||
\(704\) | 382.514 | − | 1093.16i | 0.543344 | − | 1.55279i | ||||
\(705\) | −4.70191 | − | 9.76362i | −0.00666938 | − | 0.0138491i | ||||
\(706\) | −120.519 | − | 191.805i | −0.170707 | − | 0.271678i | ||||
\(707\) | −258.076 | − | 737.540i | −0.365030 | − | 1.04320i | ||||
\(708\) | −4.07158 | + | 4.07158i | −0.00575081 | + | 0.00575081i | ||||
\(709\) | −412.716 | + | 857.013i | −0.582109 | + | 1.20876i | 0.377128 | + | 0.926161i | \(0.376912\pi\) |
−0.959237 | + | 0.282601i | \(0.908803\pi\) | |||||||
\(710\) | 543.231 | − | 61.2074i | 0.765114 | − | 0.0862076i | ||||
\(711\) | 27.8923 | + | 247.551i | 0.0392296 | + | 0.348173i | ||||
\(712\) | −924.055 | − | 445.001i | −1.29783 | − | 0.625002i | ||||
\(713\) | 282.706 | + | 282.706i | 0.396502 | + | 0.396502i | ||||
\(714\) | 17.4272 | − | 6.09804i | 0.0244078 | − | 0.00854067i | ||||
\(715\) | −1414.84 | + | 889.005i | −1.97880 | + | 1.24336i | ||||
\(716\) | −1428.46 | + | 687.911i | −1.99506 | + | 0.960770i | ||||
\(717\) | 161.982 | + | 56.6798i | 0.225916 | + | 0.0790513i | ||||
\(718\) | 1127.21 | − | 257.278i | 1.56993 | − | 0.358326i | ||||
\(719\) | −79.2834 | + | 99.4183i | −0.110269 | + | 0.138273i | −0.833903 | − | 0.551911i | \(-0.813899\pi\) |
0.723634 | + | 0.690184i | \(0.242470\pi\) | |||||||
\(720\) | 513.473 | + | 643.875i | 0.713157 | + | 0.894271i | ||||
\(721\) | 120.600 | − | 528.384i | 0.167268 | − | 0.732849i | ||||
\(722\) | 221.432 | + | 139.135i | 0.306692 | + | 0.192708i | ||||
\(723\) | 114.114 | + | 12.8576i | 0.157834 | + | 0.0177837i | ||||
\(724\) | − | 543.396i | − | 0.750546i | ||||||
\(725\) | −187.837 | + | 100.005i | −0.259086 | + | 0.137938i | ||||
\(726\) | 519.258 | 0.715231 | ||||||||
\(727\) | −64.0613 | + | 568.559i | −0.0881173 | + | 0.782062i | 0.869483 | + | 0.493963i | \(0.164452\pi\) |
−0.957600 | + | 0.288100i | \(0.906977\pi\) | |||||||
\(728\) | 652.541 | − | 1038.51i | 0.896348 | − | 1.42653i | ||||
\(729\) | −536.973 | − | 122.561i | −0.736589 | − | 0.168122i | ||||
\(730\) | 1176.56 | − | 938.272i | 1.61172 | − | 1.28530i | ||||
\(731\) | −19.8813 | − | 15.8548i | −0.0271974 | − | 0.0216892i | ||||
\(732\) | 25.7834 | + | 112.965i | 0.0352233 | + | 0.154323i | ||||
\(733\) | 22.0048 | − | 62.8862i | 0.0300202 | − | 0.0857928i | −0.927898 | − | 0.372834i | \(-0.878386\pi\) |
0.957918 | + | 0.287041i | \(0.0926717\pi\) | |||||||
\(734\) | 278.706 | + | 578.738i | 0.379708 | + | 0.788472i | ||||
\(735\) | 32.1826 | + | 51.2183i | 0.0437858 | + | 0.0696847i | ||||
\(736\) | 4.74130 | + | 13.5499i | 0.00644198 | + | 0.0184101i | ||||
\(737\) | 68.0140 | − | 68.0140i | 0.0922850 | − | 0.0922850i | ||||
\(738\) | −3.64787 | + | 7.57488i | −0.00494291 | + | 0.0102641i | ||||
\(739\) | −995.614 | + | 112.179i | −1.34724 | + | 0.151798i | −0.755935 | − | 0.654647i | \(-0.772817\pi\) |
−0.591309 | + | 0.806445i | \(0.701389\pi\) | |||||||
\(740\) | −9.03178 | − | 80.1593i | −0.0122051 | − | 0.108323i | ||||
\(741\) | −178.778 | − | 86.0951i | −0.241266 | − | 0.116188i | ||||
\(742\) | −696.254 | − | 696.254i | −0.938347 | − | 0.938347i | ||||
\(743\) | −1074.63 | + | 376.031i | −1.44634 | + | 0.506098i | −0.935423 | − | 0.353530i | \(-0.884981\pi\) |
−0.510921 | + | 0.859628i | \(0.670696\pi\) | |||||||
\(744\) | −381.682 | + | 239.827i | −0.513013 | + | 0.322348i | ||||
\(745\) | −1017.18 | + | 489.849i | −1.36534 | + | 0.657515i | ||||
\(746\) | −1948.11 | − | 681.673i | −2.61141 | − | 0.913771i | ||||
\(747\) | −193.861 | + | 44.2474i | −0.259519 | + | 0.0592335i | ||||
\(748\) | −146.755 | + | 184.024i | −0.196196 | + | 0.246022i | ||||
\(749\) | 488.381 | + | 612.410i | 0.652044 | + | 0.817637i | ||||
\(750\) | 47.8546 | − | 209.665i | 0.0638061 | − | 0.279553i | ||||
\(751\) | 297.047 | + | 186.647i | 0.395535 | + | 0.248531i | 0.715084 | − | 0.699039i | \(-0.246389\pi\) |
−0.319549 | + | 0.947570i | \(0.603531\pi\) | |||||||
\(752\) | −51.6132 | − | 5.81542i | −0.0686346 | − | 0.00773327i | ||||
\(753\) | − | 155.309i | − | 0.206254i | ||||||
\(754\) | −236.050 | − | 1534.47i | −0.313064 | − | 2.03511i | ||||
\(755\) | 407.034 | 0.539118 | ||||||||
\(756\) | −55.2658 | + | 490.498i | −0.0731030 | + | 0.648807i | ||||
\(757\) | −4.92720 | + | 7.84159i | −0.00650884 | + | 0.0103588i | −0.849963 | − | 0.526843i | \(-0.823376\pi\) |
0.843454 | + | 0.537202i | \(0.180519\pi\) | |||||||
\(758\) | 1532.67 | + | 349.822i | 2.02199 | + | 0.461506i | ||||
\(759\) | 70.9558 | − | 56.5854i | 0.0934859 | − | 0.0745525i | ||||
\(760\) | 1311.74 | + | 1046.07i | 1.72597 | + | 1.37641i | ||||
\(761\) | −298.503 | − | 1307.83i | −0.392251 | − | 1.71856i | −0.656689 | − | 0.754162i | \(-0.728043\pi\) |
0.264438 | − | 0.964403i | \(-0.414814\pi\) | |||||||
\(762\) | 5.29106 | − | 15.1210i | 0.00694365 | − | 0.0198438i | ||||
\(763\) | −302.443 | − | 628.030i | −0.396387 | − | 0.823106i | ||||
\(764\) | 285.446 | + | 454.284i | 0.373620 | + | 0.594613i | ||||
\(765\) | 24.7785 | + | 70.8128i | 0.0323902 | + | 0.0925658i | ||||
\(766\) | 1716.06 | − | 1716.06i | 2.24029 | − | 2.24029i | ||||
\(767\) | −7.74390 | + | 16.0804i | −0.0100963 | + | 0.0209653i | ||||
\(768\) | 315.954 | − | 35.5995i | 0.411399 | − | 0.0463535i | ||||
\(769\) | −107.950 | − | 958.085i | −0.140377 | − | 1.24588i | −0.844403 | − | 0.535709i | \(-0.820044\pi\) |
0.704025 | − | 0.710175i | \(-0.251384\pi\) | |||||||
\(770\) | 1911.78 | + | 920.663i | 2.48283 | + | 1.19567i | ||||
\(771\) | 50.7000 | + | 50.7000i | 0.0657587 | + | 0.0657587i | ||||
\(772\) | −1959.55 | + | 685.677i | −2.53828 | + | 0.888182i | ||||
\(773\) | 951.174 | − | 597.662i | 1.23050 | − | 0.773172i | 0.249722 | − | 0.968318i | \(-0.419661\pi\) |
0.980774 | + | 0.195145i | \(0.0625179\pi\) | |||||||
\(774\) | 448.240 | − | 215.861i | 0.579121 | − | 0.278890i | ||||
\(775\) | 358.585 | + | 125.474i | 0.462691 | + | 0.161902i | ||||
\(776\) | 1704.91 | − | 389.134i | 2.19705 | − | 0.501461i | ||||
\(777\) | 3.80787 | − | 4.77492i | 0.00490074 | − | 0.00614533i | ||||
\(778\) | 890.962 | + | 1117.23i | 1.14520 | + | 1.43603i | ||||
\(779\) | −1.30504 | + | 5.71777i | −0.00167528 | + | 0.00733988i | ||||
\(780\) | −368.973 | − | 231.841i | −0.473042 | − | 0.297232i | ||||
\(781\) | −524.322 | − | 59.0769i | −0.671347 | − | 0.0756426i | ||||
\(782\) | 41.0550i | 0.0525000i | ||||||||
\(783\) | 178.219 | + | 259.703i | 0.227611 | + | 0.331676i | ||||
\(784\) | 289.923 | 0.369799 | ||||||||
\(785\) | 47.3602 | − | 420.334i | 0.0603315 | − | 0.535457i | ||||
\(786\) | −21.9467 | + | 34.9279i | −0.0279220 | + | 0.0444376i | ||||
\(787\) | −29.9939 | − | 6.84590i | −0.0381116 | − | 0.00869873i | 0.203423 | − | 0.979091i | \(-0.434793\pi\) |
−0.241534 | + | 0.970392i | \(0.577651\pi\) | |||||||
\(788\) | −342.407 | + | 273.060i | −0.434526 | + | 0.346523i | ||||
\(789\) | 72.2792 | + | 57.6408i | 0.0916086 | + | 0.0730555i | ||||
\(790\) | 127.031 | + | 556.558i | 0.160799 | + | 0.704504i | ||||
\(791\) | −390.094 | + | 1114.82i | −0.493165 | + | 1.40939i | ||||
\(792\) | −1007.24 | − | 2091.55i | −1.27177 | − | 2.64085i | ||||
\(793\) | 191.080 | + | 304.103i | 0.240959 | + | 0.383484i | ||||
\(794\) | −422.244 | − | 1206.70i | −0.531793 | − | 1.51978i | ||||
\(795\) | −124.703 | + | 124.703i | −0.156859 | + | 0.156859i | ||||
\(796\) | 220.200 | − | 457.250i | 0.276633 | − | 0.574434i | ||||
\(797\) | −250.368 | + | 28.2097i | −0.314138 | + | 0.0353948i | −0.267626 | − | 0.963523i | \(-0.586239\pi\) |
−0.0465118 | + | 0.998918i | \(0.514811\pi\) | |||||||
\(798\) | 28.2128 | + | 250.396i | 0.0353544 | + | 0.313779i | ||||
\(799\) | −4.26300 | − | 2.05295i | −0.00533542 | − | 0.00256940i | ||||
\(800\) | 9.64551 | + | 9.64551i | 0.0120569 | + | 0.0120569i | ||||
\(801\) | 590.777 | − | 206.722i | 0.737549 | − | 0.258080i | ||||
\(802\) | 1592.11 | − | 1000.39i | 1.98517 | − | 1.24736i | ||||
\(803\) | −1308.65 | + | 630.211i | −1.62970 | + | 0.784821i | ||||
\(804\) | 23.6765 | + | 8.28478i | 0.0294484 | + | 0.0103045i | ||||
\(805\) | 241.215 | − | 55.0557i | 0.299646 | − | 0.0683922i | ||||
\(806\) | −1728.10 | + | 2166.97i | −2.14405 | + | 2.68855i | ||||
\(807\) | −165.415 | − | 207.424i | −0.204976 | − | 0.257031i | ||||
\(808\) | −435.918 | + | 1909.88i | −0.539502 | + | 2.36371i | ||||
\(809\) | 525.861 | + | 330.420i | 0.650013 | + | 0.408430i | 0.816285 | − | 0.577650i | \(-0.196030\pi\) |
−0.166272 | + | 0.986080i | \(0.553173\pi\) | |||||||
\(810\) | −1391.43 | − | 156.777i | −1.71782 | − | 0.193552i | ||||
\(811\) | 1519.25i | 1.87330i | 0.350268 | + | 0.936650i | \(0.386091\pi\) | ||||
−0.350268 | + | 0.936650i | \(0.613909\pi\) | |||||||
\(812\) | −996.358 | + | 862.713i | −1.22704 | + | 1.06245i | ||||
\(813\) | −168.402 | −0.207136 | ||||||||
\(814\) | −13.0403 | + | 115.735i | −0.0160200 | + | 0.142181i | ||||
\(815\) | 676.453 | − | 1076.57i | 0.830003 | − | 1.32094i | ||||
\(816\) | −15.4522 | − | 3.52687i | −0.0189365 | − | 0.00432214i | ||||
\(817\) | 271.333 | − | 216.381i | 0.332108 | − | 0.264848i | ||||
\(818\) | 361.056 | + | 287.932i | 0.441388 | + | 0.351995i | ||||
\(819\) | 166.555 | + | 729.726i | 0.203364 | + | 0.890997i | ||||
\(820\) | −4.25386 | + | 12.1568i | −0.00518763 | + | 0.0148254i | ||||
\(821\) | 58.4187 | + | 121.308i | 0.0711555 | + | 0.147756i | 0.933513 | − | 0.358545i | \(-0.116727\pi\) |
−0.862357 | + | 0.506301i | \(0.831013\pi\) | |||||||
\(822\) | 74.8213 | + | 119.077i | 0.0910235 | + | 0.144863i | ||||
\(823\) | 6.13993 | + | 17.5469i | 0.00746042 | + | 0.0213207i | 0.947553 | − | 0.319598i | \(-0.103548\pi\) |
−0.940093 | + | 0.340918i | \(0.889262\pi\) | |||||||
\(824\) | −960.790 | + | 960.790i | −1.16601 | + | 1.16601i | ||||
\(825\) | 37.4173 | − | 77.6977i | 0.0453543 | − | 0.0941791i | ||||
\(826\) | 22.5220 | − | 2.53762i | 0.0272664 | − | 0.00307218i | ||||
\(827\) | −5.49058 | − | 48.7303i | −0.00663916 | − | 0.0589241i | 0.989956 | − | 0.141377i | \(-0.0451531\pi\) |
−0.996595 | + | 0.0824532i | \(0.973725\pi\) | |||||||
\(828\) | −483.778 | − | 232.975i | −0.584273 | − | 0.281371i | ||||
\(829\) | 860.091 | + | 860.091i | 1.03750 | + | 1.03750i | 0.999269 | + | 0.0382351i | \(0.0121736\pi\) |
0.0382351 | + | 0.999269i | \(0.487826\pi\) | |||||||
\(830\) | −430.101 | + | 150.499i | −0.518194 | + | 0.181324i | ||||
\(831\) | −233.292 | + | 146.587i | −0.280737 | + | 0.176399i | ||||
\(832\) | 843.473 | − | 406.195i | 1.01379 | − | 0.488215i | ||||
\(833\) | 24.9291 | + | 8.72305i | 0.0299268 | + | 0.0104719i | ||||
\(834\) | −377.326 | + | 86.1222i | −0.452429 | + | 0.103264i | ||||
\(835\) | −190.504 | + | 238.884i | −0.228148 | + | 0.286089i | ||||
\(836\) | −2002.85 | − | 2511.50i | −2.39576 | − | 3.00418i | ||||
\(837\) | 125.125 | − | 548.210i | 0.149493 | − | 0.654970i | ||||
\(838\) | −1601.37 | − | 1006.21i | −1.91094 | − | 1.20073i | ||||
\(839\) | 1245.92 | + | 140.381i | 1.48501 | + | 0.167320i | 0.816914 | − | 0.576760i | \(-0.195683\pi\) |
0.668091 | + | 0.744079i | \(0.267112\pi\) | |||||||
\(840\) | 278.959i | 0.332095i | ||||||||
\(841\) | −120.294 | + | 832.352i | −0.143037 | + | 0.989717i | ||||
\(842\) | −402.843 | −0.478435 | ||||||||
\(843\) | −11.1872 | + | 99.2888i | −0.0132707 | + | 0.117780i | ||||
\(844\) | 202.586 | − | 322.414i | 0.240031 | − | 0.382007i | ||||
\(845\) | −379.895 | − | 86.7085i | −0.449579 | − | 0.102614i | ||||
\(846\) | 72.3749 | − | 57.7171i | 0.0855495 | − | 0.0682235i | ||||
\(847\) | −1068.23 | − | 851.888i | −1.26120 | − | 1.00577i | ||||
\(848\) | 188.089 | + | 824.071i | 0.221803 | + | 0.971782i | ||||
\(849\) | 88.3856 | − | 252.592i | 0.104106 | − | 0.297517i | ||||
\(850\) | 16.9263 | + | 35.1479i | 0.0199133 | + | 0.0413505i | ||||
\(851\) | 7.22517 | + | 11.4988i | 0.00849021 | + | 0.0135121i | ||||
\(852\) | −45.4470 | − | 129.880i | −0.0533415 | − | 0.152441i | ||||
\(853\) | 573.655 | − | 573.655i | 0.672514 | − | 0.672514i | −0.285781 | − | 0.958295i | \(-0.592253\pi\) |
0.958295 | + | 0.285781i | \(0.0922529\pi\) | |||||||
\(854\) | 197.885 | − | 410.912i | 0.231715 | − | 0.481162i | ||||
\(855\) | −1017.45 | + | 114.639i | −1.19000 | + | 0.134080i | ||||
\(856\) | −219.875 | − | 1951.44i | −0.256863 | − | 2.27973i | ||||
\(857\) | −451.731 | − | 217.542i | −0.527107 | − | 0.253841i | 0.151351 | − | 0.988480i | \(-0.451637\pi\) |
−0.678459 | + | 0.734639i | \(0.737352\pi\) | |||||||
\(858\) | 444.888 | + | 444.888i | 0.518517 | + | 0.518517i | ||||
\(859\) | 1157.72 | − | 405.103i | 1.34775 | − | 0.471598i | 0.442611 | − | 0.896714i | \(-0.354052\pi\) |
0.905139 | + | 0.425115i | \(0.139767\pi\) | |||||||
\(860\) | 645.325 | − | 405.484i | 0.750378 | − | 0.471494i | ||||
\(861\) | −0.878560 | + | 0.423092i | −0.00102039 | + | 0.000491396i | ||||
\(862\) | 1473.27 | + | 515.520i | 1.70913 | + | 0.598051i | ||||
\(863\) | −1110.33 | + | 253.426i | −1.28660 | + | 0.293658i | −0.810502 | − | 0.585736i | \(-0.800806\pi\) |
−0.476096 | + | 0.879393i | \(0.657948\pi\) | |||||||
\(864\) | 12.5884 | − | 15.7853i | 0.0145699 | − | 0.0182701i | ||||
\(865\) | 961.934 | + | 1206.23i | 1.11206 | + | 1.39448i | ||||
\(866\) | 18.5038 | − | 81.0703i | 0.0213669 | − | 0.0936147i | ||||
\(867\) | 149.614 | + | 94.0088i | 0.172565 | + | 0.108430i | ||||
\(868\) | 2338.10 | + | 263.441i | 2.69366 | + | 0.303503i | ||||
\(869\) | − | 551.000i | − | 0.634063i | ||||||
\(870\) | 231.140 | + | 266.947i | 0.265678 | + | 0.306835i | ||||
\(871\) | 77.7515 | 0.0892669 | ||||||||
\(872\) | −195.667 | + | 1736.59i | −0.224389 | + | 1.99150i | ||||
\(873\) | −567.785 | + | 903.624i | −0.650383 | + | 1.03508i | ||||
\(874\) | −546.255 | − | 124.679i | −0.625006 | − | 0.142654i | ||||
\(875\) | −442.422 | + | 352.820i | −0.505625 | + | 0.403222i | ||||
\(876\) | −296.150 | − | 236.172i | −0.338071 | − | 0.269603i | ||||
\(877\) | −320.746 | − | 1405.28i | −0.365731 | − | 1.60237i | −0.738370 | − | 0.674396i | \(-0.764404\pi\) |
0.372639 | − | 0.927976i | \(-0.378453\pi\) | |||||||
\(878\) | −549.607 | + | 1570.69i | −0.625976 | + | 1.78894i | ||||
\(879\) | 52.1797 | + | 108.352i | 0.0593626 | + | 0.123268i | ||||
\(880\) | −969.113 | − | 1542.33i | −1.10126 | − | 1.75265i | ||||
\(881\) | 325.085 | + | 929.039i | 0.368995 | + | 1.05453i | 0.967382 | + | 0.253320i | \(0.0815227\pi\) |
−0.598387 | + | 0.801207i | \(0.704192\pi\) | |||||||
\(882\) | −365.377 | + | 365.377i | −0.414260 | + | 0.414260i | ||||
\(883\) | 712.448 | − | 1479.41i | 0.806849 | − | 1.67544i | 0.0718062 | − | 0.997419i | \(-0.477124\pi\) |
0.735043 | − | 0.678021i | \(-0.237162\pi\) | |||||||
\(884\) | −189.068 | + | 21.3029i | −0.213878 | + | 0.0240982i | ||||
\(885\) | −0.454503 | − | 4.03383i | −0.000513563 | − | 0.00455800i | ||||
\(886\) | 1159.90 | + | 558.577i | 1.30914 | + | 0.630448i | ||||
\(887\) | 279.467 | + | 279.467i | 0.315070 | + | 0.315070i | 0.846870 | − | 0.531800i | \(-0.178484\pi\) |
−0.531800 | + | 0.846870i | \(0.678484\pi\) | |||||||
\(888\) | −14.4523 | + | 5.05709i | −0.0162751 | + | 0.00569492i | ||||
\(889\) | −35.6923 | + | 22.4269i | −0.0401488 | + | 0.0252272i | ||||
\(890\) | 1292.26 | − | 622.319i | 1.45198 | − | 0.699235i | ||||
\(891\) | 1275.66 | + | 446.371i | 1.43171 | + | 0.500978i | ||||
\(892\) | −2286.49 | + | 521.876i | −2.56333 | + | 0.585063i | ||||
\(893\) | 40.2617 | − | 50.4866i | 0.0450859 | − | 0.0565359i | ||||
\(894\) | 265.043 | + | 332.354i | 0.296469 | + | 0.371761i | ||||
\(895\) | 248.719 | − | 1089.71i | 0.277899 | − | 1.21755i | ||||
\(896\) | −1042.09 | − | 654.788i | −1.16305 | − | 0.730791i | ||||
\(897\) | 72.9005 | + | 8.21391i | 0.0812714 | + | 0.00915709i | ||||
\(898\) | 1119.53i | 1.24670i | ||||||||
\(899\) | 1237.95 | − | 849.534i | 1.37703 | − | 0.944976i | ||||
\(900\) | −510.223 | −0.566914 | ||||||||
\(901\) | −8.62139 | + | 76.5170i | −0.00956869 | + | 0.0849245i | ||||
\(902\) | 9.89355 | − | 15.7455i | 0.0109685 | − | 0.0174562i | ||||
\(903\) | 56.2560 | + | 12.8401i | 0.0622990 | + | 0.0142193i | ||||
\(904\) | 2315.09 | − | 1846.22i | 2.56094 | − | 2.04228i | ||||
\(905\) | 299.508 | + | 238.850i | 0.330948 | + | 0.263922i | ||||
\(906\) | −34.1036 | − | 149.418i | −0.0376420 | − | 0.164920i | ||||
\(907\) | −412.469 | + | 1178.77i | −0.454761 | + | 1.29963i | 0.457203 | + | 0.889363i | \(0.348851\pi\) |
−0.911964 | + | 0.410271i | \(0.865434\pi\) | |||||||
\(908\) | 193.222 | + | 401.230i | 0.212800 | + | 0.441883i | ||||
\(909\) | −636.046 | − | 1012.26i | −0.699721 | − | 1.11360i | ||||
\(910\) | 566.504 | + | 1618.98i | 0.622532 | + | 1.77909i | ||||
\(911\) | −982.420 | + | 982.420i | −1.07840 | + | 1.07840i | −0.0817436 | + | 0.996653i | \(0.526049\pi\) |
−0.996653 | + | 0.0817436i | \(0.973951\pi\) | |||||||
\(912\) | 93.8532 | − | 194.888i | 0.102909 | − | 0.213693i | ||||
\(913\) | 437.045 | − | 49.2431i | 0.478691 | − | 0.0539355i | ||||
\(914\) | −103.552 | − | 919.045i | −0.113295 | − | 1.00552i | ||||
\(915\) | −73.5968 | − | 35.4424i | −0.0804337 | − | 0.0387348i | ||||
\(916\) | 1494.68 | + | 1494.68i | 1.63174 | + | 1.63174i | ||||
\(917\) | 102.452 | − | 35.8495i | 0.111725 | − | 0.0390943i | ||||
\(918\) | 48.8914 | − | 30.7205i | 0.0532586 | − | 0.0334646i | ||||
\(919\) | 70.0984 | − | 33.7576i | 0.0762769 | − | 0.0367330i | −0.395356 | − | 0.918528i | \(-0.629379\pi\) |
0.471633 | + | 0.881795i | \(0.343665\pi\) | |||||||
\(920\) | −585.486 | − | 204.870i | −0.636398 | − | 0.222685i | ||||
\(921\) | −218.982 | + | 49.9812i | −0.237766 | + | 0.0542684i | ||||
\(922\) | 1219.14 | − | 1528.75i | 1.32227 | − | 1.65808i | ||||
\(923\) | −265.926 | − | 333.461i | −0.288111 | − | 0.361280i | ||||
\(924\) | 118.850 | − | 520.714i | 0.128625 | − | 0.563544i | ||||
\(925\) | 10.9264 | + | 6.86550i | 0.0118123 | + | 0.00742216i | ||||
\(926\) | −1642.26 | − | 185.039i | −1.77350 | − | 0.199826i | ||||
\(927\) | − | 829.203i | − | 0.894502i | ||||||
\(928\) | 53.2826 | − | 8.19654i | 0.0574166 | − | 0.00883248i | ||||
\(929\) | 1069.35 | 1.15108 | 0.575539 | − | 0.817774i | \(-0.304792\pi\) | ||||
0.575539 | + | 0.817774i | \(0.304792\pi\) | |||||||
\(930\) | 70.5817 | − | 626.429i | 0.0758943 | − | 0.673580i | ||||
\(931\) | −191.771 | + | 305.201i | −0.205984 | + | 0.327821i | ||||
\(932\) | 1895.27 | + | 432.582i | 2.03355 | + | 0.464144i | ||||
\(933\) | 61.8537 | − | 49.3267i | 0.0662955 | − | 0.0528689i | ||||
\(934\) | −2278.32 | − | 1816.90i | −2.43932 | − | 1.94529i | ||||
\(935\) | −36.9243 | − | 161.776i | −0.0394913 | − | 0.173023i | ||||
\(936\) | 619.776 | − | 1771.22i | 0.662154 | − | 1.89233i | ||||
\(937\) | −257.680 | − | 535.079i | −0.275006 | − | 0.571055i | 0.717026 | − | 0.697047i | \(-0.245503\pi\) |
−0.992031 | + | 0.125992i | \(0.959789\pi\) | |||||||
\(938\) | −52.5300 | − | 83.6010i | −0.0560021 | − | 0.0891269i | ||||
\(939\) | −10.5084 | − | 30.0311i | −0.0111910 | − | 0.0319821i | ||||
\(940\) | 100.276 | − | 100.276i | 0.106676 | − | 0.106676i | ||||
\(941\) | −219.225 | + | 455.225i | −0.232970 | + | 0.483767i | −0.984377 | − | 0.176072i | \(-0.943661\pi\) |
0.751408 | + | 0.659838i | \(0.229375\pi\) | |||||||
\(942\) | −158.268 | + | 17.8325i | −0.168013 | + | 0.0189305i | ||||
\(943\) | −0.242772 | − | 2.15466i | −0.000257447 | − | 0.00228490i | ||||
\(944\) | −17.5294 | − | 8.44170i | −0.0185692 | − | 0.00894248i | ||||
\(945\) | −246.060 | − | 246.060i | −0.260381 | − | 0.260381i | ||||
\(946\) | −1038.65 | + | 363.438i | −1.09793 | + | 0.384184i | ||||
\(947\) | 661.273 | − | 415.505i | 0.698282 | − | 0.438759i | −0.135556 | − | 0.990770i | \(-0.543282\pi\) |
0.833837 | + | 0.552010i | \(0.186139\pi\) | |||||||
\(948\) | 129.464 | − | 62.3464i | 0.136565 | − | 0.0657663i | ||||
\(949\) | −1108.22 | − | 387.783i | −1.16778 | − | 0.408623i | ||||
\(950\) | −519.062 | + | 118.473i | −0.546381 | + | 0.124708i | ||||
\(951\) | −3.62065 | + | 4.54016i | −0.00380721 | + | 0.00477409i | ||||
\(952\) | 75.9408 | + | 95.2267i | 0.0797697 | + | 0.100028i | ||||
\(953\) | −114.757 | + | 502.782i | −0.120416 | + | 0.527578i | 0.878354 | + | 0.478010i | \(0.158642\pi\) |
−0.998771 | + | 0.0495684i | \(0.984215\pi\) | |||||||
\(954\) | −1275.58 | − | 801.501i | −1.33709 | − | 0.840148i | ||||
\(955\) | −375.860 | − | 42.3492i | −0.393570 | − | 0.0443447i | ||||
\(956\) | 2245.73i | 2.34909i | ||||||||
\(957\) | −160.168 | − | 300.838i | −0.167364 | − | 0.314355i | ||||
\(958\) | −2097.79 | −2.18975 | ||||||||
\(959\) | 41.4322 | − | 367.721i | 0.0432036 | − | 0.383442i | ||||
\(960\) | −113.284 | + | 180.291i | −0.118005 | + | 0.187803i | ||||
\(961\) | −1676.30 | − | 382.604i | −1.74433 | − | 0.398131i | ||||
\(962\) | −73.6061 | + | 58.6989i | −0.0765136 | + | 0.0610176i | ||||
\(963\) | 936.971 | + | 747.210i | 0.972971 | + | 0.775919i | ||||
\(964\) | 334.395 | + | 1465.08i | 0.346883 | + | 1.51979i | ||||
\(965\) | 483.391 | − | 1381.45i | 0.500924 | − | 1.43156i | ||||
\(966\) | −40.4207 | − | 83.9345i | −0.0418434 | − | 0.0868887i | ||||
\(967\) | −116.344 | − | 185.160i | −0.120314 | − | 0.191479i | 0.781137 | − | 0.624360i | \(-0.214640\pi\) |
−0.901451 | + | 0.432880i | \(0.857497\pi\) | |||||||
\(968\) | 1131.36 | + | 3233.24i | 1.16876 | + | 3.34012i | ||||
\(969\) | 13.9337 | − | 13.9337i | 0.0143794 | − | 0.0143794i | ||||
\(970\) | −1061.09 | + | 2203.38i | −1.09391 | + | 2.27153i | ||||
\(971\) | 838.831 | − | 94.5135i | 0.863883 | − | 0.0973363i | 0.331108 | − | 0.943593i | \(-0.392578\pi\) |
0.532775 | + | 0.846257i | \(0.321149\pi\) | |||||||
\(972\) | 127.745 | + | 1133.76i | 0.131424 | + | 1.16642i | ||||
\(973\) | 917.539 | + | 441.863i | 0.943000 | + | 0.454125i | ||||
\(974\) | −607.689 | − | 607.689i | −0.623911 | − | 0.623911i | ||||
\(975\) | 65.7979 | − | 23.0237i | 0.0674850 | − | 0.0236140i | ||||
\(976\) | −331.506 | + | 208.299i | −0.339657 | + | 0.213421i | ||||
\(977\) | 1555.05 | − | 748.872i | 1.59166 | − | 0.766502i | 0.592423 | − | 0.805627i | \(-0.298171\pi\) |
0.999234 | + | 0.0391251i | \(0.0124571\pi\) | |||||||
\(978\) | −451.874 | − | 158.117i | −0.462038 | − | 0.161674i | ||||
\(979\) | −1349.66 | + | 308.052i | −1.37862 | + | 0.314660i | ||||
\(980\) | −493.539 | + | 618.879i | −0.503611 | + | 0.631509i | ||||
\(981\) | −664.942 | − | 833.811i | −0.677821 | − | 0.849961i | ||||
\(982\) | −554.845 | + | 2430.94i | −0.565016 | + | 2.47550i | ||||
\(983\) | −594.731 | − | 373.694i | −0.605016 | − | 0.380157i | 0.194411 | − | 0.980920i | \(-0.437720\pi\) |
−0.799427 | + | 0.600763i | \(0.794863\pi\) | |||||||
\(984\) | 2.42934 | + | 0.273721i | 0.00246884 | + | 0.000278172i | ||||
\(985\) | − | 308.751i | − | 0.313453i | ||||||
\(986\) | 151.574 | + | 28.2030i | 0.153726 | + | 0.0286034i | ||||
\(987\) | 10.7367 | 0.0108781 | ||||||||
\(988\) | 290.733 | − | 2580.33i | 0.294265 | − | 2.61167i | ||||
\(989\) | −68.2639 | + | 108.641i | −0.0690232 | + | 0.109850i | ||||
\(990\) | 3165.07 | + | 722.407i | 3.19704 | + | 0.729704i | ||||
\(991\) | −1115.14 | + | 889.298i | −1.12527 | + | 0.897375i | −0.995556 | − | 0.0941765i | \(-0.969978\pi\) |
−0.129717 | + | 0.991551i | \(0.541407\pi\) | |||||||
\(992\) | −75.2454 | − | 60.0062i | −0.0758522 | − | 0.0604901i | ||||
\(993\) | 50.1445 | + | 219.698i | 0.0504980 | + | 0.221246i | ||||
\(994\) | −178.885 | + | 511.224i | −0.179965 | + | 0.514310i | ||||
\(995\) | 155.237 | + | 322.354i | 0.156017 | + | 0.323974i | ||||
\(996\) | 61.0225 | + | 97.1167i | 0.0612675 | + | 0.0975067i | ||||
\(997\) | 595.003 | + | 1700.42i | 0.596793 | + | 1.70554i | 0.702997 | + | 0.711193i | \(0.251845\pi\) |
−0.106204 | + | 0.994344i | \(0.533870\pi\) | |||||||
\(998\) | 1011.06 | − | 1011.06i | 1.01309 | − | 1.01309i | ||||
\(999\) | 8.28720 | − | 17.2086i | 0.00829550 | − | 0.0172258i |
(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 | 29.3.f.a.27.1 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.172.4 | 48 | |||
29.14 | odd | 28 | inner | 29.3.f.a.14.1 | ✓ | 48 | |
87.14 | even | 28 | 261.3.s.a.217.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.14.1 | ✓ | 48 | 29.14 | odd | 28 | inner | |
29.3.f.a.27.1 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.172.4 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.217.4 | 48 | 87.14 | even | 28 |