Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 99.16 |
Dual form | 99.2.m.b.31.3 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984579 | − | 0.209279i | −0.696202 | − | 0.147982i | −0.153801 | − | 0.988102i | \(-0.549151\pi\) |
−0.542401 | + | 0.840119i | \(0.682485\pi\) | |||||||
\(3\) | −1.59971 | + | 0.664019i | −0.923594 | + | 0.383371i | ||||
\(4\) | −0.901493 | − | 0.401371i | −0.450747 | − | 0.200685i | ||||
\(5\) | 3.90391 | − | 0.829803i | 1.74588 | − | 0.371099i | 0.779141 | − | 0.626849i | \(-0.215656\pi\) |
0.966743 | + | 0.255750i | \(0.0823225\pi\) | |||||||
\(6\) | 1.71401 | − | 0.318993i | 0.699741 | − | 0.130228i | ||||
\(7\) | −0.288110 | − | 2.74118i | −0.108895 | − | 1.03607i | −0.903396 | − | 0.428806i | \(-0.858934\pi\) |
0.794501 | − | 0.607262i | \(-0.207732\pi\) | |||||||
\(8\) | 2.43227 | + | 1.76714i | 0.859936 | + | 0.624780i | ||||
\(9\) | 2.11816 | − | 2.12448i | 0.706053 | − | 0.708159i | ||||
\(10\) | −4.01737 | −1.27040 | ||||||||
\(11\) | 1.87716 | − | 2.73427i | 0.565986 | − | 0.824415i | ||||
\(12\) | 1.70865 | + | 0.0434691i | 0.493244 | + | 0.0125485i | ||||
\(13\) | −1.13221 | + | 1.25745i | −0.314019 | + | 0.348753i | −0.879406 | − | 0.476072i | \(-0.842060\pi\) |
0.565387 | + | 0.824826i | \(0.308727\pi\) | |||||||
\(14\) | −0.290004 | + | 2.75920i | −0.0775068 | + | 0.737428i | ||||
\(15\) | −5.69413 | + | 3.91972i | −1.47022 | + | 1.01207i | ||||
\(16\) | −0.704326 | − | 0.782233i | −0.176081 | − | 0.195558i | ||||
\(17\) | −0.605848 | + | 1.86461i | −0.146940 | + | 0.452234i | −0.997255 | − | 0.0740392i | \(-0.976411\pi\) |
0.850316 | + | 0.526273i | \(0.176411\pi\) | |||||||
\(18\) | −2.53010 | + | 1.64843i | −0.596351 | + | 0.388539i | ||||
\(19\) | −2.57135 | − | 1.86819i | −0.589907 | − | 0.428593i | 0.252375 | − | 0.967629i | \(-0.418788\pi\) |
−0.842282 | + | 0.539037i | \(0.818788\pi\) | |||||||
\(20\) | −3.85241 | − | 0.818855i | −0.861425 | − | 0.183102i | ||||
\(21\) | 2.28109 | + | 4.19379i | 0.497774 | + | 0.915160i | ||||
\(22\) | −2.42044 | + | 2.29926i | −0.516040 | + | 0.490203i | ||||
\(23\) | 0.789585 | + | 1.36760i | 0.164640 | + | 0.285164i | 0.936527 | − | 0.350595i | \(-0.114021\pi\) |
−0.771888 | + | 0.635759i | \(0.780687\pi\) | |||||||
\(24\) | −5.06434 | − | 1.21185i | −1.03375 | − | 0.247368i | ||||
\(25\) | 9.98425 | − | 4.44527i | 1.99685 | − | 0.889055i | ||||
\(26\) | 1.37791 | − | 1.00111i | 0.270230 | − | 0.196334i | ||||
\(27\) | −1.97775 | + | 4.80505i | −0.380618 | + | 0.924732i | ||||
\(28\) | −0.840500 | + | 2.58679i | −0.158840 | + | 0.488858i | ||||
\(29\) | 0.275380 | + | 2.62007i | 0.0511368 | + | 0.486535i | 0.989879 | + | 0.141914i | \(0.0453257\pi\) |
−0.938742 | + | 0.344620i | \(0.888008\pi\) | |||||||
\(30\) | 6.42664 | − | 2.66761i | 1.17334 | − | 0.487037i | ||||
\(31\) | 0.917532 | − | 1.01902i | 0.164794 | − | 0.183022i | −0.655092 | − | 0.755549i | \(-0.727370\pi\) |
0.819886 | + | 0.572527i | \(0.194037\pi\) | |||||||
\(32\) | −2.47669 | − | 4.28975i | −0.437820 | − | 0.758327i | ||||
\(33\) | −1.18731 | + | 5.62052i | −0.206685 | + | 0.978408i | ||||
\(34\) | 0.986728 | − | 1.70906i | 0.169222 | − | 0.293102i | ||||
\(35\) | −3.39939 | − | 10.4623i | −0.574602 | − | 1.76844i | ||||
\(36\) | −2.76221 | + | 1.06504i | −0.460368 | + | 0.177506i | ||||
\(37\) | −1.00217 | + | 0.728119i | −0.164756 | + | 0.119702i | −0.667108 | − | 0.744961i | \(-0.732468\pi\) |
0.502352 | + | 0.864663i | \(0.332468\pi\) | |||||||
\(38\) | 2.14072 | + | 2.37751i | 0.347271 | + | 0.385683i | ||||
\(39\) | 0.976243 | − | 2.76336i | 0.156324 | − | 0.442493i | ||||
\(40\) | 10.9617 | + | 4.88048i | 1.73320 | + | 0.771671i | ||||
\(41\) | 0.0172185 | − | 0.163824i | 0.00268908 | − | 0.0255849i | −0.993095 | − | 0.117312i | \(-0.962572\pi\) |
0.995784 | + | 0.0917273i | \(0.0292388\pi\) | |||||||
\(42\) | −1.36824 | − | 4.60650i | −0.211124 | − | 0.710798i | ||||
\(43\) | −5.44643 | + | 9.43349i | −0.830572 | + | 1.43859i | 0.0670124 | + | 0.997752i | \(0.478653\pi\) |
−0.897585 | + | 0.440842i | \(0.854680\pi\) | |||||||
\(44\) | −2.78971 | + | 1.71149i | −0.420564 | + | 0.258017i | ||||
\(45\) | 6.50621 | − | 10.0514i | 0.969889 | − | 1.49838i | ||||
\(46\) | −0.491199 | − | 1.51175i | −0.0724233 | − | 0.222896i | ||||
\(47\) | 0.0760956 | − | 0.0338799i | 0.0110997 | − | 0.00494189i | −0.401179 | − | 0.916000i | \(-0.631400\pi\) |
0.412279 | + | 0.911058i | \(0.364733\pi\) | |||||||
\(48\) | 1.64614 | + | 0.783662i | 0.237599 | + | 0.113112i | ||||
\(49\) | −0.584029 | + | 0.124139i | −0.0834327 | + | 0.0177342i | ||||
\(50\) | −10.7606 | + | 2.28723i | −1.52178 | + | 0.323463i | ||||
\(51\) | −0.268952 | − | 3.38513i | −0.0376609 | − | 0.474013i | ||||
\(52\) | 1.52538 | − | 0.679144i | 0.211533 | − | 0.0941804i | ||||
\(53\) | 1.50424 | + | 4.62958i | 0.206624 | + | 0.635922i | 0.999643 | + | 0.0267253i | \(0.00850793\pi\) |
−0.793019 | + | 0.609196i | \(0.791492\pi\) | |||||||
\(54\) | 2.95285 | − | 4.31705i | 0.401831 | − | 0.587476i | ||||
\(55\) | 5.05938 | − | 12.2320i | 0.682206 | − | 1.64937i | ||||
\(56\) | 4.14330 | − | 7.17641i | 0.553672 | − | 0.958988i | ||||
\(57\) | 5.35393 | + | 1.28115i | 0.709145 | + | 0.169692i | ||||
\(58\) | 0.277191 | − | 2.63730i | 0.0363970 | − | 0.346294i | ||||
\(59\) | 9.82430 | + | 4.37406i | 1.27902 | + | 0.569454i | 0.929964 | − | 0.367650i | \(-0.119837\pi\) |
0.349051 | + | 0.937104i | \(0.386504\pi\) | |||||||
\(60\) | 6.70648 | − | 1.24814i | 0.865803 | − | 0.161134i | ||||
\(61\) | −8.22623 | − | 9.13616i | −1.05326 | − | 1.16977i | −0.985081 | − | 0.172092i | \(-0.944947\pi\) |
−0.0681806 | − | 0.997673i | \(-0.521719\pi\) | |||||||
\(62\) | −1.11664 | + | 0.811288i | −0.141814 | + | 0.103034i | ||||
\(63\) | −6.43384 | − | 5.19417i | −0.810587 | − | 0.654404i | ||||
\(64\) | 2.19128 | + | 6.74407i | 0.273910 | + | 0.843009i | ||||
\(65\) | −3.37662 | + | 5.84848i | −0.418818 | + | 0.725415i | ||||
\(66\) | 2.34526 | − | 5.28537i | 0.288681 | − | 0.650584i | ||||
\(67\) | 3.11386 | + | 5.39336i | 0.380418 | + | 0.658904i | 0.991122 | − | 0.132956i | \(-0.0424467\pi\) |
−0.610704 | + | 0.791859i | \(0.709113\pi\) | |||||||
\(68\) | 1.29457 | − | 1.43776i | 0.156989 | − | 0.174354i | ||||
\(69\) | −2.17122 | − | 1.66347i | −0.261384 | − | 0.200258i | ||||
\(70\) | 1.15744 | + | 11.0123i | 0.138341 | + | 1.31623i | ||||
\(71\) | −3.06406 | + | 9.43021i | −0.363637 | + | 1.11916i | 0.587193 | + | 0.809447i | \(0.300233\pi\) |
−0.950830 | + | 0.309713i | \(0.899767\pi\) | |||||||
\(72\) | 8.90618 | − | 1.42420i | 1.04960 | − | 0.167844i | ||||
\(73\) | −10.7474 | + | 7.80842i | −1.25788 | + | 0.913906i | −0.998652 | − | 0.0519085i | \(-0.983470\pi\) |
−0.259233 | + | 0.965815i | \(0.583470\pi\) | |||||||
\(74\) | 1.13910 | − | 0.507158i | 0.132417 | − | 0.0589559i | ||||
\(75\) | −13.0202 | + | 13.7409i | −1.50344 | + | 1.58666i | ||||
\(76\) | 1.56821 | + | 2.71622i | 0.179886 | + | 0.311572i | ||||
\(77\) | −8.03597 | − | 4.35787i | −0.915784 | − | 0.496626i | ||||
\(78\) | −1.53950 | + | 2.51644i | −0.174314 | + | 0.284931i | ||||
\(79\) | −0.530015 | − | 0.112658i | −0.0596313 | − | 0.0126750i | 0.177999 | − | 0.984031i | \(-0.443037\pi\) |
−0.237631 | + | 0.971356i | \(0.576371\pi\) | |||||||
\(80\) | −3.39873 | − | 2.46932i | −0.379989 | − | 0.276078i | ||||
\(81\) | −0.0268110 | − | 8.99996i | −0.00297900 | − | 0.999996i | ||||
\(82\) | −0.0512378 | + | 0.157694i | −0.00565827 | + | 0.0174144i | ||||
\(83\) | 4.28148 | + | 4.75506i | 0.469953 | + | 0.521936i | 0.930793 | − | 0.365548i | \(-0.119118\pi\) |
−0.460839 | + | 0.887484i | \(0.652452\pi\) | |||||||
\(84\) | −0.373121 | − | 4.69623i | −0.0407108 | − | 0.512401i | ||||
\(85\) | −0.817921 | + | 7.78200i | −0.0887160 | + | 0.844077i | ||||
\(86\) | 7.33667 | − | 8.14819i | 0.791133 | − | 0.878642i | ||||
\(87\) | −2.18030 | − | 4.00850i | −0.233753 | − | 0.429756i | ||||
\(88\) | 9.39762 | − | 3.33326i | 1.00179 | − | 0.355327i | ||||
\(89\) | −5.12790 | −0.543556 | −0.271778 | − | 0.962360i | \(-0.587612\pi\) | ||||
−0.271778 | + | 0.962360i | \(0.587612\pi\) | |||||||
\(90\) | −8.50943 | + | 8.53482i | −0.896972 | + | 0.899649i | ||||
\(91\) | 3.77309 | + | 2.74131i | 0.395528 | + | 0.287368i | ||||
\(92\) | −0.162890 | − | 1.54980i | −0.0169825 | − | 0.161578i | ||||
\(93\) | −0.791137 | + | 2.23940i | −0.0820371 | + | 0.232215i | ||||
\(94\) | −0.0820124 | + | 0.0174323i | −0.00845894 | + | 0.00179800i | ||||
\(95\) | −11.5885 | − | 5.15955i | −1.18896 | − | 0.529359i | ||||
\(96\) | 6.81046 | + | 5.21779i | 0.695089 | + | 0.532539i | ||||
\(97\) | −0.648438 | − | 0.137830i | −0.0658389 | − | 0.0139945i | 0.174874 | − | 0.984591i | \(-0.444048\pi\) |
−0.240713 | + | 0.970596i | \(0.577381\pi\) | |||||||
\(98\) | 0.601002 | 0.0607104 | ||||||||
\(99\) | −1.83277 | − | 9.77962i | −0.184201 | − | 0.982889i | ||||
\(100\) | −10.7849 | −1.07849 | ||||||||
\(101\) | −5.18665 | − | 1.10246i | −0.516091 | − | 0.109699i | −0.0574993 | − | 0.998346i | \(-0.518313\pi\) |
−0.458592 | + | 0.888647i | \(0.651646\pi\) | |||||||
\(102\) | −0.443631 | + | 3.38921i | −0.0439260 | + | 0.335582i | ||||
\(103\) | −9.23892 | − | 4.11343i | −0.910337 | − | 0.405308i | −0.102513 | − | 0.994732i | \(-0.532688\pi\) |
−0.807824 | + | 0.589423i | \(0.799355\pi\) | |||||||
\(104\) | −4.97593 | + | 1.05767i | −0.487930 | + | 0.103713i | ||||
\(105\) | 12.3852 | + | 14.4793i | 1.20867 | + | 1.41304i | ||||
\(106\) | −0.512172 | − | 4.87299i | −0.0497466 | − | 0.473307i | ||||
\(107\) | 9.64685 | + | 7.00885i | 0.932596 | + | 0.677571i | 0.946627 | − | 0.322331i | \(-0.104466\pi\) |
−0.0140309 | + | 0.999902i | \(0.504466\pi\) | |||||||
\(108\) | 3.71153 | − | 3.53791i | 0.357143 | − | 0.340435i | ||||
\(109\) | 17.8320 | 1.70800 | 0.853998 | − | 0.520275i | \(-0.174171\pi\) | ||||
0.853998 | + | 0.520275i | \(0.174171\pi\) | |||||||
\(110\) | −7.54126 | + | 10.9846i | −0.719031 | + | 1.04734i | ||||
\(111\) | 1.11970 | − | 1.83024i | 0.106277 | − | 0.173719i | ||||
\(112\) | −1.94132 | + | 2.15605i | −0.183437 | + | 0.203728i | ||||
\(113\) | 0.619184 | − | 5.89114i | 0.0582479 | − | 0.554192i | −0.926016 | − | 0.377485i | \(-0.876789\pi\) |
0.984264 | − | 0.176707i | \(-0.0565444\pi\) | |||||||
\(114\) | −5.00325 | − | 2.38185i | −0.468597 | − | 0.223081i | ||||
\(115\) | 4.21731 | + | 4.68380i | 0.393266 | + | 0.436766i | ||||
\(116\) | 0.803365 | − | 2.47250i | 0.0745906 | − | 0.229566i | ||||
\(117\) | 0.273218 | + | 5.06883i | 0.0252590 | + | 0.468614i | ||||
\(118\) | −8.75740 | − | 6.36262i | −0.806184 | − | 0.585727i | ||||
\(119\) | 5.28578 | + | 1.12353i | 0.484546 | + | 0.102994i | ||||
\(120\) | −20.7763 | − | 0.528564i | −1.89661 | − | 0.0482511i | ||||
\(121\) | −3.95251 | − | 10.2654i | −0.359319 | − | 0.933215i | ||||
\(122\) | 6.18737 | + | 10.7168i | 0.560178 | + | 0.970258i | ||||
\(123\) | 0.0812372 | + | 0.273504i | 0.00732491 | + | 0.0246610i | ||||
\(124\) | −1.23615 | + | 0.550371i | −0.111010 | + | 0.0494248i | ||||
\(125\) | 19.1445 | − | 13.9093i | 1.71233 | − | 1.24408i | ||||
\(126\) | 5.24759 | + | 6.46054i | 0.467493 | + | 0.575550i | ||||
\(127\) | 5.62073 | − | 17.2988i | 0.498759 | − | 1.53502i | −0.312256 | − | 0.949998i | \(-0.601085\pi\) |
0.811015 | − | 0.585025i | \(-0.198915\pi\) | |||||||
\(128\) | 0.289438 | + | 2.75381i | 0.0255829 | + | 0.243405i | ||||
\(129\) | 2.44870 | − | 18.7074i | 0.215596 | − | 1.64709i | ||||
\(130\) | 4.54851 | − | 5.05164i | 0.398931 | − | 0.443058i | ||||
\(131\) | 5.21901 | + | 9.03958i | 0.455987 | + | 0.789792i | 0.998744 | − | 0.0500973i | \(-0.0159531\pi\) |
−0.542758 | + | 0.839889i | \(0.682620\pi\) | |||||||
\(132\) | 3.32627 | − | 4.59031i | 0.289514 | − | 0.399535i | ||||
\(133\) | −4.38022 | + | 7.58677i | −0.379813 | + | 0.657856i | ||||
\(134\) | −1.93712 | − | 5.96185i | −0.167342 | − | 0.515025i | ||||
\(135\) | −3.73373 | + | 20.3996i | −0.321348 | + | 1.75572i | ||||
\(136\) | −4.76861 | + | 3.46460i | −0.408905 | + | 0.297087i | ||||
\(137\) | −10.5520 | − | 11.7192i | −0.901521 | − | 1.00124i | −0.999981 | − | 0.00609920i | \(-0.998059\pi\) |
0.0984607 | − | 0.995141i | \(-0.468608\pi\) | |||||||
\(138\) | 1.78961 | + | 2.09221i | 0.152342 | + | 0.178100i | ||||
\(139\) | −1.02801 | − | 0.457697i | −0.0871943 | − | 0.0388214i | 0.362676 | − | 0.931915i | \(-0.381863\pi\) |
−0.449870 | + | 0.893094i | \(0.648530\pi\) | |||||||
\(140\) | −1.13471 | + | 10.7961i | −0.0959007 | + | 0.912434i | ||||
\(141\) | −0.0992341 | + | 0.104727i | −0.00835702 | + | 0.00881960i | ||||
\(142\) | 4.99035 | − | 8.64354i | 0.418781 | − | 0.725350i | ||||
\(143\) | 1.31286 | + | 5.45621i | 0.109787 | + | 0.456271i | ||||
\(144\) | −3.15371 | − | 0.160569i | −0.262809 | − | 0.0133807i | ||||
\(145\) | 3.24920 | + | 10.0000i | 0.269831 | + | 0.830456i | ||||
\(146\) | 12.2158 | − | 5.43881i | 1.01098 | − | 0.450119i | ||||
\(147\) | 0.851847 | − | 0.586393i | 0.0702592 | − | 0.0483649i | ||||
\(148\) | 1.19570 | − | 0.254153i | 0.0982855 | − | 0.0208912i | ||||
\(149\) | 11.1235 | − | 2.36438i | 0.911275 | − | 0.193698i | 0.271660 | − | 0.962393i | \(-0.412427\pi\) |
0.639615 | + | 0.768696i | \(0.279094\pi\) | |||||||
\(150\) | 15.6951 | − | 10.8041i | 1.28150 | − | 0.882154i | ||||
\(151\) | −6.39438 | + | 2.84696i | −0.520367 | + | 0.231682i | −0.650075 | − | 0.759870i | \(-0.725263\pi\) |
0.129708 | + | 0.991552i | \(0.458596\pi\) | |||||||
\(152\) | −2.95283 | − | 9.08788i | −0.239506 | − | 0.737124i | ||||
\(153\) | 2.67804 | + | 5.23664i | 0.216506 | + | 0.423358i | ||||
\(154\) | 7.00003 | + | 5.97243i | 0.564079 | + | 0.481272i | ||||
\(155\) | 2.73638 | − | 4.73955i | 0.219791 | − | 0.380690i | ||||
\(156\) | −1.98921 | + | 2.09932i | −0.159264 | + | 0.168080i | ||||
\(157\) | 0.834804 | − | 7.94263i | 0.0666246 | − | 0.633891i | −0.909354 | − | 0.416023i | \(-0.863423\pi\) |
0.975978 | − | 0.217867i | \(-0.0699099\pi\) | |||||||
\(158\) | 0.498265 | + | 0.221842i | 0.0396398 | + | 0.0176488i | ||||
\(159\) | −5.48048 | − | 6.40715i | −0.434630 | − | 0.508120i | ||||
\(160\) | −13.2284 | − | 14.6916i | −1.04580 | − | 1.16148i | ||||
\(161\) | 3.52135 | − | 2.55841i | 0.277521 | − | 0.201631i | ||||
\(162\) | −1.85710 | + | 8.86678i | −0.145908 | + | 0.696640i | ||||
\(163\) | −1.39718 | − | 4.30008i | −0.109436 | − | 0.336809i | 0.881310 | − | 0.472538i | \(-0.156662\pi\) |
−0.990746 | + | 0.135730i | \(0.956662\pi\) | |||||||
\(164\) | −0.0812763 | + | 0.140775i | −0.00634662 | + | 0.0109927i | ||||
\(165\) | 0.0287586 | + | 22.9273i | 0.00223885 | + | 1.78489i | ||||
\(166\) | −3.22032 | − | 5.57776i | −0.249945 | − | 0.432918i | ||||
\(167\) | −0.0739082 | + | 0.0820834i | −0.00571919 | + | 0.00635180i | −0.745998 | − | 0.665949i | \(-0.768027\pi\) |
0.740278 | + | 0.672300i | \(0.234694\pi\) | |||||||
\(168\) | −1.86282 | + | 14.2314i | −0.143720 | + | 1.09798i | ||||
\(169\) | 1.05960 | + | 10.0814i | 0.0815074 | + | 0.775492i | ||||
\(170\) | 2.43392 | − | 7.49082i | 0.186673 | − | 0.574520i | ||||
\(171\) | −9.41545 | + | 1.50564i | −0.720017 | + | 0.115139i | ||||
\(172\) | 8.69624 | − | 6.31819i | 0.663082 | − | 0.481757i | ||||
\(173\) | 1.15830 | − | 0.515710i | 0.0880643 | − | 0.0392087i | −0.362232 | − | 0.932088i | \(-0.617985\pi\) |
0.450296 | + | 0.892879i | \(0.351318\pi\) | |||||||
\(174\) | 1.30779 | + | 4.40297i | 0.0991431 | + | 0.333789i | ||||
\(175\) | −15.0619 | − | 26.0879i | −1.13857 | − | 1.97206i | ||||
\(176\) | −3.46097 | + | 0.457440i | −0.260881 | + | 0.0344808i | ||||
\(177\) | −18.6205 | − | 0.473718i | −1.39960 | − | 0.0356069i | ||||
\(178\) | 5.04882 | + | 1.07316i | 0.378425 | + | 0.0804367i | ||||
\(179\) | −19.3345 | − | 14.0473i | −1.44513 | − | 1.04995i | −0.986940 | − | 0.161089i | \(-0.948499\pi\) |
−0.458186 | − | 0.888856i | \(-0.651501\pi\) | |||||||
\(180\) | −9.89965 | + | 6.44989i | −0.737877 | + | 0.480747i | ||||
\(181\) | −4.18846 | + | 12.8907i | −0.311325 | + | 0.958161i | 0.665915 | + | 0.746027i | \(0.268041\pi\) |
−0.977241 | + | 0.212134i | \(0.931959\pi\) | |||||||
\(182\) | −3.14121 | − | 3.48867i | −0.232842 | − | 0.258597i | ||||
\(183\) | 19.2262 | + | 9.15285i | 1.42124 | + | 0.676598i | ||||
\(184\) | −0.496268 | + | 4.72168i | −0.0365854 | + | 0.348087i | ||||
\(185\) | −3.30819 | + | 3.67412i | −0.243223 | + | 0.270127i | ||||
\(186\) | 1.24760 | − | 2.03930i | 0.0914782 | − | 0.149529i | ||||
\(187\) | 3.96107 | + | 5.15673i | 0.289662 | + | 0.377097i | ||||
\(188\) | −0.0821980 | −0.00599491 | ||||||||
\(189\) | 13.7413 | + | 4.03699i | 0.999534 | + | 0.293648i | ||||
\(190\) | 10.3300 | + | 7.50522i | 0.749420 | + | 0.544486i | ||||
\(191\) | −0.0312397 | − | 0.297226i | −0.00226043 | − | 0.0215065i | 0.993334 | − | 0.115276i | \(-0.0367751\pi\) |
−0.995594 | + | 0.0937691i | \(0.970108\pi\) | |||||||
\(192\) | −7.98361 | − | 9.33352i | −0.576167 | − | 0.673589i | ||||
\(193\) | 1.20485 | − | 0.256100i | 0.0867273 | − | 0.0184345i | −0.164344 | − | 0.986403i | \(-0.552551\pi\) |
0.251071 | + | 0.967969i | \(0.419217\pi\) | |||||||
\(194\) | 0.609593 | + | 0.271408i | 0.0437663 | + | 0.0194860i | ||||
\(195\) | 1.51812 | − | 11.5980i | 0.108715 | − | 0.830552i | ||||
\(196\) | 0.576324 | + | 0.122501i | 0.0411660 | + | 0.00875010i | ||||
\(197\) | 13.2338 | 0.942867 | 0.471433 | − | 0.881902i | \(-0.343737\pi\) | ||||
0.471433 | + | 0.881902i | \(0.343737\pi\) | |||||||
\(198\) | −0.242155 | + | 10.0124i | −0.0172092 | + | 0.711548i | ||||
\(199\) | 5.82449 | 0.412887 | 0.206444 | − | 0.978458i | \(-0.433811\pi\) | ||||
0.206444 | + | 0.978458i | \(0.433811\pi\) | |||||||
\(200\) | 32.1398 | + | 6.83152i | 2.27262 | + | 0.483061i | ||||
\(201\) | −8.56257 | − | 6.56016i | −0.603957 | − | 0.462718i | ||||
\(202\) | 4.87595 | + | 2.17091i | 0.343070 | + | 0.152745i | ||||
\(203\) | 7.10274 | − | 1.50973i | 0.498515 | − | 0.105963i | ||||
\(204\) | −1.11623 | + | 3.15962i | −0.0781519 | + | 0.221218i | ||||
\(205\) | −0.0687214 | − | 0.653841i | −0.00479971 | − | 0.0456662i | ||||
\(206\) | 8.23559 | + | 5.98350i | 0.573801 | + | 0.416890i | ||||
\(207\) | 4.57790 | + | 1.21934i | 0.318186 | + | 0.0847500i | ||||
\(208\) | 1.78106 | 0.123494 | ||||||||
\(209\) | −9.93499 | + | 3.52386i | −0.687217 | + | 0.243751i | ||||
\(210\) | −9.16398 | − | 16.8480i | −0.632374 | − | 1.16262i | ||||
\(211\) | 4.78936 | − | 5.31913i | 0.329713 | − | 0.366184i | −0.555380 | − | 0.831596i | \(-0.687427\pi\) |
0.885094 | + | 0.465413i | \(0.154094\pi\) | |||||||
\(212\) | 0.502114 | − | 4.77729i | 0.0344853 | − | 0.328106i | ||||
\(213\) | −1.36022 | − | 17.1202i | −0.0932007 | − | 1.17306i | ||||
\(214\) | −8.03128 | − | 8.91964i | −0.549007 | − | 0.609734i | ||||
\(215\) | −13.4345 | + | 41.3470i | −0.916222 | + | 2.81984i | ||||
\(216\) | −13.3016 | + | 8.19218i | −0.905061 | + | 0.557408i | ||||
\(217\) | −3.05767 | − | 2.22153i | −0.207568 | − | 0.150807i | ||||
\(218\) | −17.5570 | − | 3.73186i | −1.18911 | − | 0.252753i | ||||
\(219\) | 12.0078 | − | 19.6277i | 0.811409 | − | 1.32632i | ||||
\(220\) | −9.47058 | + | 8.99642i | −0.638506 | + | 0.606539i | ||||
\(221\) | −1.65870 | − | 2.87295i | −0.111576 | − | 0.193256i | ||||
\(222\) | −1.48546 | + | 1.56769i | −0.0996977 | + | 0.105216i | ||||
\(223\) | −12.5441 | + | 5.58500i | −0.840016 | + | 0.373999i | −0.781209 | − | 0.624270i | \(-0.785397\pi\) |
−0.0588077 | + | 0.998269i | \(0.518730\pi\) | |||||||
\(224\) | −11.0454 | + | 8.02496i | −0.738002 | + | 0.536190i | ||||
\(225\) | 11.7043 | − | 30.6271i | 0.780289 | − | 2.04181i | ||||
\(226\) | −1.84253 | + | 5.67071i | −0.122563 | + | 0.377210i | ||||
\(227\) | 1.14876 | + | 10.9297i | 0.0762458 | + | 0.725431i | 0.964142 | + | 0.265387i | \(0.0854997\pi\) |
−0.887896 | + | 0.460044i | \(0.847834\pi\) | |||||||
\(228\) | −4.31231 | − | 3.30385i | −0.285590 | − | 0.218803i | ||||
\(229\) | −11.3632 | + | 12.6201i | −0.750899 | + | 0.833958i | −0.990586 | − | 0.136892i | \(-0.956289\pi\) |
0.239687 | + | 0.970850i | \(0.422955\pi\) | |||||||
\(230\) | −3.17205 | − | 5.49416i | −0.209159 | − | 0.362274i | ||||
\(231\) | 15.7489 | + | 1.63531i | 1.03620 | + | 0.107596i | ||||
\(232\) | −3.96024 | + | 6.85934i | −0.260003 | + | 0.450338i | ||||
\(233\) | 0.446155 | + | 1.37312i | 0.0292286 | + | 0.0899563i | 0.964607 | − | 0.263693i | \(-0.0849406\pi\) |
−0.935378 | + | 0.353649i | \(0.884941\pi\) | |||||||
\(234\) | 0.791794 | − | 5.04784i | 0.0517612 | − | 0.329988i | ||||
\(235\) | 0.268957 | − | 0.195409i | 0.0175448 | − | 0.0127471i | ||||
\(236\) | −7.10092 | − | 7.88637i | −0.462231 | − | 0.513359i | ||||
\(237\) | 0.922678 | − | 0.171719i | 0.0599344 | − | 0.0111544i | ||||
\(238\) | −4.96913 | − | 2.21240i | −0.322101 | − | 0.143409i | ||||
\(239\) | −1.70919 | + | 16.2619i | −0.110558 | + | 1.05189i | 0.788791 | + | 0.614662i | \(0.210708\pi\) |
−0.899349 | + | 0.437231i | \(0.855959\pi\) | |||||||
\(240\) | 7.07666 | + | 1.69338i | 0.456796 | + | 0.109307i | ||||
\(241\) | −11.1334 | + | 19.2835i | −0.717162 | + | 1.24216i | 0.244957 | + | 0.969534i | \(0.421226\pi\) |
−0.962120 | + | 0.272628i | \(0.912107\pi\) | |||||||
\(242\) | 1.74324 | + | 10.9342i | 0.112060 | + | 0.702879i | ||||
\(243\) | 6.01903 | + | 14.3795i | 0.386121 | + | 0.922448i | ||||
\(244\) | 3.74891 | + | 11.5380i | 0.239999 | + | 0.738642i | ||||
\(245\) | −2.17699 | + | 0.969257i | −0.139083 | + | 0.0619236i | ||||
\(246\) | −0.0227458 | − | 0.286287i | −0.00145022 | − | 0.0182530i | ||||
\(247\) | 5.26046 | − | 1.11815i | 0.334715 | − | 0.0711459i | ||||
\(248\) | 4.03244 | − | 0.857122i | 0.256060 | − | 0.0544273i | ||||
\(249\) | −10.0066 | − | 4.76375i | −0.634142 | − | 0.301890i | ||||
\(250\) | −21.7602 | + | 9.68825i | −1.37623 | + | 0.612739i | ||||
\(251\) | −0.427262 | − | 1.31498i | −0.0269685 | − | 0.0830006i | 0.936666 | − | 0.350223i | \(-0.113894\pi\) |
−0.963635 | + | 0.267222i | \(0.913894\pi\) | |||||||
\(252\) | 3.71527 | + | 7.26486i | 0.234040 | + | 0.457643i | ||||
\(253\) | 5.22157 | + | 0.408270i | 0.328278 | + | 0.0256677i | ||||
\(254\) | −9.15433 | + | 15.8558i | −0.574394 | + | 0.994879i | ||||
\(255\) | −3.85896 | − | 12.9921i | −0.241657 | − | 0.813596i | ||||
\(256\) | 1.77379 | − | 16.8765i | 0.110862 | − | 1.05478i | ||||
\(257\) | −11.6527 | − | 5.18810i | −0.726873 | − | 0.323625i | 0.00972769 | − | 0.999953i | \(-0.496904\pi\) |
−0.736601 | + | 0.676328i | \(0.763570\pi\) | |||||||
\(258\) | −6.32600 | + | 17.9064i | −0.393840 | + | 1.11481i | ||||
\(259\) | 2.28464 | + | 2.53735i | 0.141961 | + | 0.157663i | ||||
\(260\) | 5.39141 | − | 3.91709i | 0.334361 | − | 0.242928i | ||||
\(261\) | 6.14958 | + | 4.96468i | 0.380649 | + | 0.307306i | ||||
\(262\) | −3.24673 | − | 9.99241i | −0.200584 | − | 0.617333i | ||||
\(263\) | 7.19876 | − | 12.4686i | 0.443894 | − | 0.768847i | −0.554080 | − | 0.832463i | \(-0.686930\pi\) |
0.997974 | + | 0.0636159i | \(0.0202632\pi\) | |||||||
\(264\) | −12.8201 | + | 11.5725i | −0.789025 | + | 0.712235i | ||||
\(265\) | 9.71407 | + | 16.8253i | 0.596730 | + | 1.03357i | ||||
\(266\) | 5.90042 | − | 6.55308i | 0.361778 | − | 0.401795i | ||||
\(267\) | 8.20316 | − | 3.40502i | 0.502025 | − | 0.208384i | ||||
\(268\) | −0.642385 | − | 6.11189i | −0.0392399 | − | 0.373343i | ||||
\(269\) | −2.25363 | + | 6.93596i | −0.137406 | + | 0.422893i | −0.995957 | − | 0.0898365i | \(-0.971366\pi\) |
0.858550 | + | 0.512729i | \(0.171366\pi\) | |||||||
\(270\) | 7.94536 | − | 19.3037i | 0.483539 | − | 1.17478i | ||||
\(271\) | 3.07145 | − | 2.23154i | 0.186577 | − | 0.135556i | −0.490576 | − | 0.871399i | \(-0.663213\pi\) |
0.677153 | + | 0.735842i | \(0.263213\pi\) | |||||||
\(272\) | 1.88527 | − | 0.839377i | 0.114311 | − | 0.0508947i | ||||
\(273\) | −7.85615 | − | 1.87991i | −0.475476 | − | 0.113777i | ||||
\(274\) | 7.93672 | + | 13.7468i | 0.479475 | + | 0.830475i | ||||
\(275\) | 6.58747 | − | 35.6442i | 0.397239 | − | 2.14942i | ||||
\(276\) | 1.28967 | + | 2.37107i | 0.0776292 | + | 0.142722i | ||||
\(277\) | 27.9936 | + | 5.95023i | 1.68197 | + | 0.357515i | 0.947162 | − | 0.320756i | \(-0.103937\pi\) |
0.734812 | + | 0.678271i | \(0.237270\pi\) | |||||||
\(278\) | 0.916366 | + | 0.665779i | 0.0549600 | + | 0.0399308i | ||||
\(279\) | −0.221413 | − | 4.10773i | −0.0132556 | − | 0.245923i | ||||
\(280\) | 10.2201 | − | 31.4542i | 0.610767 | − | 1.87975i | ||||
\(281\) | −16.5555 | − | 18.3867i | −0.987617 | − | 1.09686i | −0.995295 | − | 0.0968897i | \(-0.969111\pi\) |
0.00767779 | − | 0.999971i | \(-0.497556\pi\) | |||||||
\(282\) | 0.119621 | − | 0.0823444i | 0.00712332 | − | 0.00490354i | ||||
\(283\) | 2.18765 | − | 20.8141i | 0.130042 | − | 1.23727i | −0.713673 | − | 0.700479i | \(-0.752970\pi\) |
0.843715 | − | 0.536791i | \(-0.180364\pi\) | |||||||
\(284\) | 6.54724 | − | 7.27144i | 0.388507 | − | 0.431481i | ||||
\(285\) | 21.9644 | + | 0.558788i | 1.30106 | + | 0.0330998i | ||||
\(286\) | −0.150747 | − | 5.64683i | −0.00891385 | − | 0.333904i | ||||
\(287\) | −0.454031 | −0.0268006 | ||||||||
\(288\) | −14.3595 | − | 3.82470i | −0.846140 | − | 0.225372i | ||||
\(289\) | 10.6436 | + | 7.73301i | 0.626093 | + | 0.454883i | ||||
\(290\) | −1.10630 | − | 10.5258i | −0.0649645 | − | 0.618096i | ||||
\(291\) | 1.12884 | − | 0.210087i | 0.0661735 | − | 0.0123155i | ||||
\(292\) | 12.8227 | − | 2.72556i | 0.750395 | − | 0.159501i | ||||
\(293\) | −7.57329 | − | 3.37185i | −0.442436 | − | 0.196985i | 0.173413 | − | 0.984849i | \(-0.444520\pi\) |
−0.615849 | + | 0.787864i | \(0.711187\pi\) | |||||||
\(294\) | −0.961430 | + | 0.399077i | −0.0560718 | + | 0.0232746i | ||||
\(295\) | 41.9828 | + | 8.92373i | 2.44434 | + | 0.519559i | ||||
\(296\) | −3.72424 | −0.216467 | ||||||||
\(297\) | 9.42576 | + | 14.4276i | 0.546938 | + | 0.837173i | ||||
\(298\) | −11.4468 | −0.663096 | ||||||||
\(299\) | −2.61366 | − | 0.555551i | −0.151152 | − | 0.0321284i | ||||
\(300\) | 17.2528 | − | 7.16140i | 0.996090 | − | 0.413463i | ||||
\(301\) | 27.4281 | + | 12.2118i | 1.58093 | + | 0.703874i | ||||
\(302\) | 6.89158 | − | 1.46485i | 0.396566 | − | 0.0842926i | ||||
\(303\) | 9.02920 | − | 1.68042i | 0.518714 | − | 0.0965376i | ||||
\(304\) | 0.349703 | + | 3.32721i | 0.0200569 | + | 0.190828i | ||||
\(305\) | −39.6957 | − | 28.8406i | −2.27297 | − | 1.65141i | ||||
\(306\) | −1.54082 | − | 5.71635i | −0.0880828 | − | 0.326782i | ||||
\(307\) | −5.24767 | −0.299500 | −0.149750 | − | 0.988724i | \(-0.547847\pi\) | ||||
−0.149750 | + | 0.988724i | \(0.547847\pi\) | |||||||
\(308\) | 5.49525 | + | 7.15399i | 0.313121 | + | 0.407637i | ||||
\(309\) | 17.5110 | + | 0.445492i | 0.996166 | + | 0.0253431i | ||||
\(310\) | −3.68607 | + | 4.09379i | −0.209355 | + | 0.232512i | ||||
\(311\) | −1.34596 | + | 12.8059i | −0.0763223 | + | 0.726158i | 0.887715 | + | 0.460393i | \(0.152291\pi\) |
−0.964038 | + | 0.265766i | \(0.914375\pi\) | |||||||
\(312\) | 7.25775 | − | 4.99607i | 0.410889 | − | 0.282847i | ||||
\(313\) | −12.6476 | − | 14.0466i | −0.714884 | − | 0.793960i | 0.270786 | − | 0.962639i | \(-0.412716\pi\) |
−0.985671 | + | 0.168680i | \(0.946050\pi\) | |||||||
\(314\) | −2.48415 | + | 7.64543i | −0.140189 | + | 0.431457i | ||||
\(315\) | −29.4273 | − | 14.9388i | −1.65804 | − | 0.841705i | ||||
\(316\) | 0.432587 | + | 0.314293i | 0.0243349 | + | 0.0176804i | ||||
\(317\) | −4.81028 | − | 1.02246i | −0.270172 | − | 0.0574268i | 0.0708334 | − | 0.997488i | \(-0.477434\pi\) |
−0.341005 | + | 0.940061i | \(0.610767\pi\) | |||||||
\(318\) | 4.05509 | + | 7.45529i | 0.227398 | + | 0.418072i | ||||
\(319\) | 7.68092 | + | 4.16533i | 0.430049 | + | 0.233214i | ||||
\(320\) | 14.1508 | + | 24.5099i | 0.791055 | + | 1.37015i | ||||
\(321\) | −20.0862 | − | 4.80645i | −1.12110 | − | 0.268270i | ||||
\(322\) | −4.00247 | + | 1.78201i | −0.223049 | + | 0.0993078i | ||||
\(323\) | 5.04129 | − | 3.66271i | 0.280505 | − | 0.203799i | ||||
\(324\) | −3.58815 | + | 8.12416i | −0.199342 | + | 0.451342i | ||||
\(325\) | −5.71458 | + | 17.5877i | −0.316988 | + | 0.975588i | ||||
\(326\) | 0.475720 | + | 4.52617i | 0.0263477 | + | 0.250682i | ||||
\(327\) | −28.5261 | + | 11.8408i | −1.57750 | + | 0.654797i | ||||
\(328\) | 0.331380 | − | 0.368035i | 0.0182974 | − | 0.0203213i | ||||
\(329\) | −0.114795 | − | 0.198831i | −0.00632884 | − | 0.0109619i | ||||
\(330\) | 4.76988 | − | 22.5797i | 0.262573 | − | 1.24297i | ||||
\(331\) | 1.46482 | − | 2.53715i | 0.0805139 | − | 0.139454i | −0.822957 | − | 0.568104i | \(-0.807677\pi\) |
0.903471 | + | 0.428650i | \(0.141011\pi\) | |||||||
\(332\) | −1.95118 | − | 6.00512i | −0.107085 | − | 0.329574i | ||||
\(333\) | −0.575882 | + | 3.67136i | −0.0315581 | + | 0.201189i | ||||
\(334\) | 0.0899468 | − | 0.0653501i | 0.00492167 | − | 0.00357580i | ||||
\(335\) | 16.6317 | + | 18.4713i | 0.908684 | + | 1.00920i | ||||
\(336\) | 1.67389 | − | 4.73813i | 0.0913183 | − | 0.258486i | ||||
\(337\) | −22.4689 | − | 10.0038i | −1.22396 | − | 0.544942i | −0.309996 | − | 0.950738i | \(-0.600328\pi\) |
−0.913964 | + | 0.405796i | \(0.866994\pi\) | |||||||
\(338\) | 1.06656 | − | 10.1477i | 0.0580134 | − | 0.551961i | ||||
\(339\) | 2.92131 | + | 9.83528i | 0.158664 | + | 0.534179i | ||||
\(340\) | 3.86082 | − | 6.68713i | 0.209382 | − | 0.362661i | ||||
\(341\) | −1.06393 | − | 4.42166i | −0.0576150 | − | 0.239446i | ||||
\(342\) | 9.58535 | + | 0.488031i | 0.518316 | + | 0.0263897i | ||||
\(343\) | −5.45361 | − | 16.7845i | −0.294467 | − | 0.906277i | ||||
\(344\) | −29.9175 | + | 13.3201i | −1.61304 | + | 0.718173i | ||||
\(345\) | −9.85661 | − | 4.69235i | −0.530662 | − | 0.252628i | ||||
\(346\) | −1.24837 | + | 0.265349i | −0.0671128 | + | 0.0142653i | ||||
\(347\) | −23.9057 | + | 5.08132i | −1.28333 | + | 0.272780i | −0.798587 | − | 0.601879i | \(-0.794419\pi\) |
−0.484740 | + | 0.874659i | \(0.661086\pi\) | |||||||
\(348\) | 0.356636 | + | 4.48874i | 0.0191177 | + | 0.240622i | ||||
\(349\) | −4.39281 | + | 1.95580i | −0.235142 | + | 0.104692i | −0.520925 | − | 0.853602i | \(-0.674413\pi\) |
0.285783 | + | 0.958294i | \(0.407746\pi\) | |||||||
\(350\) | 9.36994 | + | 28.8377i | 0.500844 | + | 1.54144i | ||||
\(351\) | −3.80287 | − | 7.92725i | −0.202982 | − | 0.423125i | ||||
\(352\) | −16.3785 | − | 1.28062i | −0.872976 | − | 0.0682571i | ||||
\(353\) | 16.5013 | − | 28.5811i | 0.878275 | − | 1.52122i | 0.0250432 | − | 0.999686i | \(-0.492028\pi\) |
0.853232 | − | 0.521531i | \(-0.174639\pi\) | |||||||
\(354\) | 18.2342 | + | 4.36329i | 0.969138 | + | 0.231906i | ||||
\(355\) | −4.13662 | + | 39.3573i | −0.219549 | + | 2.08887i | ||||
\(356\) | 4.62276 | + | 2.05819i | 0.245006 | + | 0.109084i | ||||
\(357\) | −9.20176 | + | 1.71254i | −0.487009 | + | 0.0906370i | ||||
\(358\) | 16.0965 | + | 17.8770i | 0.850727 | + | 0.944828i | ||||
\(359\) | 25.6447 | − | 18.6320i | 1.35348 | − | 0.983358i | 0.354646 | − | 0.935001i | \(-0.384601\pi\) |
0.998830 | − | 0.0483576i | \(-0.0153987\pi\) | |||||||
\(360\) | 33.5872 | − | 12.9503i | 1.77020 | − | 0.682543i | ||||
\(361\) | −2.74965 | − | 8.46254i | −0.144718 | − | 0.445397i | ||||
\(362\) | 6.82162 | − | 11.8154i | 0.358537 | − | 0.621003i | ||||
\(363\) | 13.1393 | + | 13.7971i | 0.689633 | + | 0.724159i | ||||
\(364\) | −2.30114 | − | 3.98568i | −0.120612 | − | 0.208907i | ||||
\(365\) | −35.4774 | + | 39.4016i | −1.85697 | + | 2.06237i | ||||
\(366\) | −17.0142 | − | 13.0353i | −0.889347 | − | 0.681368i | ||||
\(367\) | −1.70044 | − | 16.1786i | −0.0887621 | − | 0.844515i | −0.944810 | − | 0.327619i | \(-0.893754\pi\) |
0.856048 | − | 0.516896i | \(-0.172913\pi\) | |||||||
\(368\) | 0.513657 | − | 1.58087i | 0.0267762 | − | 0.0824088i | ||||
\(369\) | −0.311568 | − | 0.383585i | −0.0162196 | − | 0.0199686i | ||||
\(370\) | 4.02609 | − | 2.92513i | 0.209306 | − | 0.152070i | ||||
\(371\) | 12.2571 | − | 5.45722i | 0.636358 | − | 0.283325i | ||||
\(372\) | 1.61203 | − | 1.70127i | 0.0835801 | − | 0.0882065i | ||||
\(373\) | −1.15123 | − | 1.99399i | −0.0596083 | − | 0.103245i | 0.834681 | − | 0.550733i | \(-0.185652\pi\) |
−0.894290 | + | 0.447489i | \(0.852319\pi\) | |||||||
\(374\) | −2.82080 | − | 5.90617i | −0.145860 | − | 0.305401i | ||||
\(375\) | −21.3896 | + | 34.9631i | −1.10456 | + | 1.80549i | ||||
\(376\) | 0.244955 | + | 0.0520668i | 0.0126326 | + | 0.00268514i | ||||
\(377\) | −3.60639 | − | 2.62020i | −0.185739 | − | 0.134947i | ||||
\(378\) | −12.6846 | − | 6.85050i | −0.652423 | − | 0.352352i | ||||
\(379\) | −4.07703 | + | 12.5478i | −0.209423 | + | 0.644537i | 0.790080 | + | 0.613004i | \(0.210039\pi\) |
−0.999503 | + | 0.0315333i | \(0.989961\pi\) | |||||||
\(380\) | 8.37610 | + | 9.30260i | 0.429685 | + | 0.477213i | ||||
\(381\) | 2.49520 | + | 31.4054i | 0.127833 | + | 1.60895i | ||||
\(382\) | −0.0314451 | + | 0.299180i | −0.00160887 | + | 0.0153074i | ||||
\(383\) | 4.99758 | − | 5.55038i | 0.255365 | − | 0.283611i | −0.601807 | − | 0.798641i | \(-0.705553\pi\) |
0.857172 | + | 0.515030i | \(0.172219\pi\) | |||||||
\(384\) | −2.29160 | − | 4.21312i | −0.116943 | − | 0.215000i | ||||
\(385\) | −34.9879 | − | 10.3445i | −1.78315 | − | 0.527204i | ||||
\(386\) | −1.23987 | −0.0631078 | ||||||||
\(387\) | 8.50484 | + | 31.5524i | 0.432325 | + | 1.60390i | ||||
\(388\) | 0.529242 | + | 0.384516i | 0.0268682 | + | 0.0195209i | ||||
\(389\) | 3.22406 | + | 30.6749i | 0.163466 | + | 1.55528i | 0.701693 | + | 0.712479i | \(0.252428\pi\) |
−0.538227 | + | 0.842800i | \(0.680906\pi\) | |||||||
\(390\) | −3.92193 | + | 11.1015i | −0.198595 | + | 0.562144i | ||||
\(391\) | −3.02841 | + | 0.643708i | −0.153153 | + | 0.0325537i | ||||
\(392\) | −1.63988 | − | 0.730124i | −0.0828267 | − | 0.0368768i | ||||
\(393\) | −14.3514 | − | 10.9952i | −0.723930 | − | 0.554635i | ||||
\(394\) | −13.0297 | − | 2.76955i | −0.656426 | − | 0.139528i | ||||
\(395\) | −2.16262 | −0.108813 | ||||||||
\(396\) | −2.27302 | + | 9.55188i | −0.114223 | + | 0.480000i | ||||
\(397\) | −16.9304 | −0.849714 | −0.424857 | − | 0.905260i | \(-0.639676\pi\) | ||||
−0.424857 | + | 0.905260i | \(0.639676\pi\) | |||||||
\(398\) | −5.73467 | − | 1.21894i | −0.287453 | − | 0.0611001i | ||||
\(399\) | 1.96934 | − | 15.0452i | 0.0985903 | − | 0.753202i | ||||
\(400\) | −10.5094 | − | 4.67909i | −0.525470 | − | 0.233954i | ||||
\(401\) | −2.25283 | + | 0.478853i | −0.112501 | + | 0.0239128i | −0.263818 | − | 0.964572i | \(-0.584982\pi\) |
0.151317 | + | 0.988485i | \(0.451649\pi\) | |||||||
\(402\) | 7.05762 | + | 8.25096i | 0.352002 | + | 0.411520i | ||||
\(403\) | 0.242528 | + | 2.30750i | 0.0120812 | + | 0.114945i | ||||
\(404\) | 4.23324 | + | 3.07563i | 0.210611 | + | 0.153018i | ||||
\(405\) | −7.57286 | − | 35.1128i | −0.376298 | − | 1.74477i | ||||
\(406\) | −7.30916 | −0.362748 | ||||||||
\(407\) | 0.109640 | + | 4.10701i | 0.00543466 | + | 0.203577i | ||||
\(408\) | 5.32785 | − | 8.70881i | 0.263768 | − | 0.431150i | ||||
\(409\) | 20.5996 | − | 22.8781i | 1.01858 | − | 1.13125i | 0.0272832 | − | 0.999628i | \(-0.491314\pi\) |
0.991300 | − | 0.131623i | \(-0.0420189\pi\) | |||||||
\(410\) | −0.0691733 | + | 0.658140i | −0.00341623 | + | 0.0325032i | ||||
\(411\) | 24.6620 | + | 11.7406i | 1.21649 | + | 0.579122i | ||||
\(412\) | 6.67781 | + | 7.41646i | 0.328992 | + | 0.365383i | ||||
\(413\) | 9.15961 | − | 28.1904i | 0.450715 | − | 1.38716i | ||||
\(414\) | −4.25212 | − | 2.15859i | −0.208980 | − | 0.106089i | ||||
\(415\) | 20.6603 | + | 15.0106i | 1.01417 | + | 0.736840i | ||||
\(416\) | 8.19826 | + | 1.74259i | 0.401953 | + | 0.0854377i | ||||
\(417\) | 1.94843 | + | 0.0495694i | 0.0954151 | + | 0.00242743i | ||||
\(418\) | 10.5192 | − | 1.39034i | 0.514513 | − | 0.0680037i | ||||
\(419\) | −5.74612 | − | 9.95257i | −0.280716 | − | 0.486215i | 0.690845 | − | 0.723003i | \(-0.257239\pi\) |
−0.971561 | + | 0.236788i | \(0.923905\pi\) | |||||||
\(420\) | −5.35358 | − | 18.0241i | −0.261228 | − | 0.879485i | ||||
\(421\) | 23.4093 | − | 10.4225i | 1.14090 | − | 0.507962i | 0.252759 | − | 0.967529i | \(-0.418662\pi\) |
0.888143 | + | 0.459567i | \(0.151995\pi\) | |||||||
\(422\) | −5.82869 | + | 4.23479i | −0.283736 | + | 0.206146i | ||||
\(423\) | 0.0892053 | − | 0.233426i | 0.00433731 | − | 0.0113496i | ||||
\(424\) | −4.52242 | + | 13.9186i | −0.219628 | + | 0.675946i | ||||
\(425\) | 2.23976 | + | 21.3099i | 0.108644 | + | 1.03368i | ||||
\(426\) | −2.24365 | + | 17.1409i | −0.108705 | + | 0.830477i | ||||
\(427\) | −22.6738 | + | 25.1818i | −1.09726 | + | 1.21863i | ||||
\(428\) | −5.88342 | − | 10.1904i | −0.284386 | − | 0.492571i | ||||
\(429\) | −5.72323 | − | 7.85661i | −0.276320 | − | 0.379321i | ||||
\(430\) | 21.8803 | − | 37.8978i | 1.05516 | − | 1.82760i | ||||
\(431\) | −0.718276 | − | 2.21063i | −0.0345981 | − | 0.106482i | 0.932266 | − | 0.361773i | \(-0.117829\pi\) |
−0.966864 | + | 0.255291i | \(0.917829\pi\) | |||||||
\(432\) | 5.15165 | − | 1.83726i | 0.247859 | − | 0.0883951i | ||||
\(433\) | −16.9872 | + | 12.3419i | −0.816352 | + | 0.593114i | −0.915665 | − | 0.401942i | \(-0.868335\pi\) |
0.0993135 | + | 0.995056i | \(0.468335\pi\) | |||||||
\(434\) | 2.54560 | + | 2.82718i | 0.122193 | + | 0.135709i | ||||
\(435\) | −11.8380 | − | 13.8396i | −0.567588 | − | 0.663559i | ||||
\(436\) | −16.0754 | − | 7.15724i | −0.769874 | − | 0.342770i | ||||
\(437\) | 0.524646 | − | 4.99167i | 0.0250972 | − | 0.238784i | ||||
\(438\) | −15.9302 | + | 16.8120i | −0.761176 | + | 0.803310i | ||||
\(439\) | 9.02531 | − | 15.6323i | 0.430754 | − | 0.746089i | −0.566184 | − | 0.824279i | \(-0.691581\pi\) |
0.996938 | + | 0.0781903i | \(0.0249142\pi\) | |||||||
\(440\) | 33.9215 | − | 20.8109i | 1.61715 | − | 0.992122i | ||||
\(441\) | −0.973335 | + | 1.50370i | −0.0463493 | + | 0.0716049i | ||||
\(442\) | 1.03187 | + | 3.17578i | 0.0490812 | + | 0.151056i | ||||
\(443\) | 30.4683 | − | 13.5654i | 1.44759 | − | 0.644510i | 0.475630 | − | 0.879645i | \(-0.342220\pi\) |
0.971963 | + | 0.235135i | \(0.0755533\pi\) | |||||||
\(444\) | −1.74401 | + | 1.20054i | −0.0827669 | + | 0.0569749i | ||||
\(445\) | −20.0189 | + | 4.25514i | −0.948986 | + | 0.201713i | ||||
\(446\) | 13.5195 | − | 2.87366i | 0.640167 | − | 0.136072i | ||||
\(447\) | −16.2245 | + | 11.1686i | −0.767390 | + | 0.528255i | ||||
\(448\) | 17.8554 | − | 7.94973i | 0.843588 | − | 0.375589i | ||||
\(449\) | 4.78310 | + | 14.7209i | 0.225729 | + | 0.694721i | 0.998217 | + | 0.0596920i | \(0.0190119\pi\) |
−0.772488 | + | 0.635029i | \(0.780988\pi\) | |||||||
\(450\) | −17.9334 | + | 27.7053i | −0.845390 | + | 1.30604i | ||||
\(451\) | −0.415616 | − | 0.354604i | −0.0195706 | − | 0.0166976i | ||||
\(452\) | −2.92272 | + | 5.06230i | −0.137473 | + | 0.238111i | ||||
\(453\) | 8.33873 | − | 8.80030i | 0.391788 | − | 0.413474i | ||||
\(454\) | 1.15631 | − | 11.0016i | 0.0542684 | − | 0.516330i | ||||
\(455\) | 17.0046 | + | 7.57093i | 0.797187 | + | 0.354931i | ||||
\(456\) | 10.7582 | + | 12.5773i | 0.503799 | + | 0.588984i | ||||
\(457\) | −8.39152 | − | 9.31972i | −0.392539 | − | 0.435958i | 0.514188 | − | 0.857678i | \(-0.328093\pi\) |
−0.906726 | + | 0.421719i | \(0.861427\pi\) | |||||||
\(458\) | 13.8290 | − | 10.0474i | 0.646189 | − | 0.469484i | ||||
\(459\) | −7.76132 | − | 6.59886i | −0.362267 | − | 0.308008i | ||||
\(460\) | −1.92194 | − | 5.91511i | −0.0896108 | − | 0.275794i | ||||
\(461\) | −11.2951 | + | 19.5637i | −0.526065 | + | 0.911172i | 0.473473 | + | 0.880808i | \(0.343000\pi\) |
−0.999539 | + | 0.0303640i | \(0.990333\pi\) | |||||||
\(462\) | −15.1638 | − | 4.90601i | −0.705486 | − | 0.228248i | ||||
\(463\) | −14.5818 | − | 25.2563i | −0.677671 | − | 1.17376i | −0.975680 | − | 0.219198i | \(-0.929656\pi\) |
0.298009 | − | 0.954563i | \(-0.403677\pi\) | |||||||
\(464\) | 1.85555 | − | 2.06079i | 0.0861416 | − | 0.0956699i | ||||
\(465\) | −1.23027 | + | 9.39892i | −0.0570524 | + | 0.435864i | ||||
\(466\) | −0.151909 | − | 1.44532i | −0.00703705 | − | 0.0669531i | ||||
\(467\) | 6.31926 | − | 19.4487i | 0.292420 | − | 0.899978i | −0.691655 | − | 0.722228i | \(-0.743118\pi\) |
0.984076 | − | 0.177750i | \(-0.0568818\pi\) | |||||||
\(468\) | 1.78818 | − | 4.67918i | 0.0826585 | − | 0.216295i | ||||
\(469\) | 13.8870 | − | 10.0895i | 0.641244 | − | 0.465891i | ||||
\(470\) | −0.305704 | + | 0.136108i | −0.0141011 | + | 0.00627820i | ||||
\(471\) | 3.93861 | + | 13.2602i | 0.181481 | + | 0.611000i | ||||
\(472\) | 16.1657 | + | 27.9998i | 0.744087 | + | 1.28880i | ||||
\(473\) | 15.5699 | + | 32.6002i | 0.715905 | + | 1.49896i | ||||
\(474\) | −0.944387 | − | 0.0240258i | −0.0433771 | − | 0.00110354i | ||||
\(475\) | −33.9776 | − | 7.22215i | −1.55900 | − | 0.331375i | ||||
\(476\) | −4.31414 | − | 3.13441i | −0.197738 | − | 0.143665i | ||||
\(477\) | 13.0217 | + | 6.61046i | 0.596221 | + | 0.302672i | ||||
\(478\) | 5.08610 | − | 15.6534i | 0.232633 | − | 0.715970i | ||||
\(479\) | −14.2794 | − | 15.8588i | −0.652441 | − | 0.724609i | 0.322624 | − | 0.946527i | \(-0.395435\pi\) |
−0.975065 | + | 0.221918i | \(0.928768\pi\) | |||||||
\(480\) | 30.9172 | + | 14.7185i | 1.41117 | + | 0.671804i | ||||
\(481\) | 0.219096 | − | 2.08456i | 0.00998993 | − | 0.0950479i | ||||
\(482\) | 14.9973 | − | 16.6562i | 0.683108 | − | 0.758668i | ||||
\(483\) | −3.93432 | + | 6.43097i | −0.179018 | + | 0.292619i | ||||
\(484\) | −0.557052 | + | 10.8406i | −0.0253206 | + | 0.492753i | ||||
\(485\) | −2.64582 | −0.120140 | ||||||||
\(486\) | −2.91688 | − | 15.4174i | −0.132312 | − | 0.699350i | ||||
\(487\) | −24.1715 | − | 17.5616i | −1.09531 | − | 0.795792i | −0.115025 | − | 0.993363i | \(-0.536695\pi\) |
−0.980289 | + | 0.197571i | \(0.936695\pi\) | |||||||
\(488\) | −3.86347 | − | 36.7585i | −0.174891 | − | 1.66398i | ||||
\(489\) | 5.09043 | + | 5.95114i | 0.230197 | + | 0.269120i | ||||
\(490\) | 2.34626 | − | 0.498713i | 0.105993 | − | 0.0225296i | ||||
\(491\) | 4.50156 | + | 2.00422i | 0.203153 | + | 0.0904494i | 0.505791 | − | 0.862656i | \(-0.331201\pi\) |
−0.302638 | + | 0.953105i | \(0.597867\pi\) | |||||||
\(492\) | 0.0365417 | − | 0.279168i | 0.00164743 | − | 0.0125859i | ||||
\(493\) | −5.05224 | − | 1.07389i | −0.227541 | − | 0.0483654i | ||||
\(494\) | −5.41334 | −0.243558 | ||||||||
\(495\) | −15.2701 | − | 36.6579i | −0.686342 | − | 1.64765i | ||||
\(496\) | −1.44335 | −0.0648085 | ||||||||
\(497\) | 26.7327 | + | 5.68221i | 1.19912 | + | 0.254882i | ||||
\(498\) | 8.85532 | + | 6.78445i | 0.396816 | + | 0.304019i | ||||
\(499\) | 12.5020 | + | 5.56625i | 0.559667 | + | 0.249180i | 0.667018 | − | 0.745042i | \(-0.267570\pi\) |
−0.107352 | + | 0.994221i | \(0.534237\pi\) | |||||||
\(500\) | −22.8414 | + | 4.85509i | −1.02150 | + | 0.217126i | ||||
\(501\) | 0.0637270 | − | 0.180386i | 0.00284711 | − | 0.00805906i | ||||
\(502\) | 0.145476 | + | 1.38412i | 0.00649293 | + | 0.0617761i | ||||
\(503\) | 34.5229 | + | 25.0824i | 1.53930 | + | 1.11837i | 0.950773 | + | 0.309889i | \(0.100292\pi\) |
0.588527 | + | 0.808477i | \(0.299708\pi\) | |||||||
\(504\) | −6.46995 | − | 24.0031i | −0.288195 | − | 1.06918i | ||||
\(505\) | −21.1631 | −0.941744 | ||||||||
\(506\) | −5.05561 | − | 1.49474i | −0.224749 | − | 0.0664492i | ||||
\(507\) | −8.38928 | − | 15.4237i | −0.372581 | − | 0.684992i | ||||
\(508\) | −12.0103 | + | 13.3388i | −0.532870 | + | 0.591813i | ||||
\(509\) | 0.725567 | − | 6.90331i | 0.0321602 | − | 0.305984i | −0.966604 | − | 0.256276i | \(-0.917504\pi\) |
0.998764 | − | 0.0497076i | \(-0.0158289\pi\) | |||||||
\(510\) | 1.08048 | + | 13.5993i | 0.0478445 | + | 0.602188i | ||||
\(511\) | 24.5007 | + | 27.2108i | 1.08385 | + | 1.20373i | ||||
\(512\) | −3.56700 | + | 10.9781i | −0.157641 | + | 0.485168i | ||||
\(513\) | 14.0622 | − | 8.66062i | 0.620863 | − | 0.382376i | ||||
\(514\) | 10.3872 | + | 7.54674i | 0.458160 | + | 0.332873i | ||||
\(515\) | −39.4813 | − | 8.39200i | −1.73975 | − | 0.369796i | ||||
\(516\) | −9.71609 | + | 15.8818i | −0.427727 | + | 0.699155i | ||||
\(517\) | 0.0502068 | − | 0.271664i | 0.00220809 | − | 0.0119478i | ||||
\(518\) | −1.71840 | − | 2.97635i | −0.0755020 | − | 0.130773i | ||||
\(519\) | −1.51051 | + | 1.59412i | −0.0663041 | + | 0.0699743i | ||||
\(520\) | −18.5480 | + | 8.25808i | −0.813381 | + | 0.362141i | ||||
\(521\) | −32.3393 | + | 23.4959i | −1.41681 | + | 1.02937i | −0.424523 | + | 0.905417i | \(0.639558\pi\) |
−0.992288 | + | 0.123956i | \(0.960442\pi\) | |||||||
\(522\) | −5.01574 | − | 6.17510i | −0.219533 | − | 0.270277i | ||||
\(523\) | 7.52580 | − | 23.1620i | 0.329080 | − | 1.01280i | −0.640485 | − | 0.767971i | \(-0.721267\pi\) |
0.969565 | − | 0.244834i | \(-0.0787335\pi\) | |||||||
\(524\) | −1.07667 | − | 10.2439i | −0.0470348 | − | 0.447506i | ||||
\(525\) | 41.4175 | + | 31.7318i | 1.80761 | + | 1.38489i | ||||
\(526\) | −9.69716 | + | 10.7698i | −0.422816 | + | 0.469585i | ||||
\(527\) | 1.34419 | + | 2.32821i | 0.0585539 | + | 0.101418i | ||||
\(528\) | 5.23281 | − | 3.02992i | 0.227729 | − | 0.131861i | ||||
\(529\) | 10.2531 | − | 17.7589i | 0.445788 | − | 0.772127i | ||||
\(530\) | −6.04310 | − | 18.5987i | −0.262495 | − | 0.807878i | ||||
\(531\) | 30.1020 | − | 11.6066i | 1.30632 | − | 0.503682i | ||||
\(532\) | 6.99384 | − | 5.08132i | 0.303222 | − | 0.220303i | ||||
\(533\) | 0.186505 | + | 0.207134i | 0.00807841 | + | 0.00897198i | ||||
\(534\) | −8.78926 | + | 1.63576i | −0.380348 | + | 0.0707864i | ||||
\(535\) | 43.4764 | + | 19.3570i | 1.87965 | + | 0.836874i | ||||
\(536\) | −1.95712 | + | 18.6207i | −0.0845345 | + | 0.804292i | ||||
\(537\) | 40.2573 | + | 9.63321i | 1.73723 | + | 0.415704i | ||||
\(538\) | 3.67042 | − | 6.35736i | 0.158243 | − | 0.274085i | ||||
\(539\) | −0.756887 | + | 1.82992i | −0.0326014 | + | 0.0788204i | ||||
\(540\) | 11.5537 | − | 16.8915i | 0.497194 | − | 0.726896i | ||||
\(541\) | −11.9577 | − | 36.8020i | −0.514101 | − | 1.58224i | −0.784912 | − | 0.619607i | \(-0.787292\pi\) |
0.270811 | − | 0.962633i | \(-0.412708\pi\) | |||||||
\(542\) | −3.49110 | + | 1.55434i | −0.149956 | + | 0.0667645i | ||||
\(543\) | −1.85937 | − | 23.4027i | −0.0797932 | − | 1.00431i | ||||
\(544\) | 9.49919 | − | 2.01911i | 0.407274 | − | 0.0865688i | ||||
\(545\) | 69.6146 | − | 14.7970i | 2.98196 | − | 0.633836i | ||||
\(546\) | 7.34157 | + | 3.49504i | 0.314190 | + | 0.149574i | ||||
\(547\) | 10.4996 | − | 4.67471i | 0.448929 | − | 0.199876i | −0.169803 | − | 0.985478i | \(-0.554313\pi\) |
0.618732 | + | 0.785602i | \(0.287647\pi\) | |||||||
\(548\) | 4.80883 | + | 14.8001i | 0.205423 | + | 0.632227i | ||||
\(549\) | −36.8340 | − | 1.87538i | −1.57204 | − | 0.0800392i | ||||
\(550\) | −13.9454 | + | 33.7159i | −0.594636 | + | 1.43765i | ||||
\(551\) | 4.18669 | − | 7.25156i | 0.178359 | − | 0.308927i | ||||
\(552\) | −2.34140 | − | 7.88285i | −0.0996564 | − | 0.335517i | ||||
\(553\) | −0.156114 | + | 1.48532i | −0.00663864 | + | 0.0631624i | ||||
\(554\) | −26.3167 | − | 11.7169i | −1.11809 | − | 0.497805i | ||||
\(555\) | 2.85247 | − | 8.07423i | 0.121081 | − | 0.342732i | ||||
\(556\) | 0.743033 | + | 0.825222i | 0.0315116 | + | 0.0349972i | ||||
\(557\) | 0.870902 | − | 0.632748i | 0.0369013 | − | 0.0268104i | −0.569182 | − | 0.822212i | \(-0.692740\pi\) |
0.606083 | + | 0.795401i | \(0.292740\pi\) | |||||||
\(558\) | −0.641662 | + | 4.09072i | −0.0271637 | + | 0.173174i | ||||
\(559\) | −5.69562 | − | 17.5293i | −0.240899 | − | 0.741411i | ||||
\(560\) | −5.78964 | + | 10.0280i | −0.244657 | + | 0.423758i | ||||
\(561\) | −9.76074 | − | 5.61905i | −0.412099 | − | 0.237237i | ||||
\(562\) | 12.4522 | + | 21.5679i | 0.525266 | + | 0.909787i | ||||
\(563\) | −19.1302 | + | 21.2463i | −0.806244 | + | 0.895425i | −0.996264 | − | 0.0863556i | \(-0.972478\pi\) |
0.190020 | + | 0.981780i | \(0.439145\pi\) | |||||||
\(564\) | 0.131493 | − | 0.0545810i | 0.00553686 | − | 0.00229828i | ||||
\(565\) | −2.47124 | − | 23.5123i | −0.103966 | − | 0.989171i | ||||
\(566\) | −6.50987 | + | 20.0353i | −0.273630 | + | 0.842147i | ||||
\(567\) | −24.6628 | + | 2.66647i | −1.03574 | + | 0.111981i | ||||
\(568\) | −24.1171 | + | 17.5221i | −1.01193 | + | 0.735212i | ||||
\(569\) | −13.1647 | + | 5.86130i | −0.551892 | + | 0.245718i | −0.663684 | − | 0.748013i | \(-0.731008\pi\) |
0.111791 | + | 0.993732i | \(0.464341\pi\) | |||||||
\(570\) | −21.5087 | − | 5.14685i | −0.900901 | − | 0.215578i | ||||
\(571\) | −5.26851 | − | 9.12533i | −0.220480 | − | 0.381883i | 0.734474 | − | 0.678637i | \(-0.237429\pi\) |
−0.954954 | + | 0.296754i | \(0.904096\pi\) | |||||||
\(572\) | 1.00643 | − | 5.44568i | 0.0420808 | − | 0.227695i | ||||
\(573\) | 0.247338 | + | 0.454733i | 0.0103327 | + | 0.0189967i | ||||
\(574\) | 0.447029 | + | 0.0950189i | 0.0186586 | + | 0.00396601i | ||||
\(575\) | 13.9628 | + | 10.1445i | 0.582287 | + | 0.423057i | ||||
\(576\) | 18.9691 | + | 9.62968i | 0.790379 | + | 0.401237i | ||||
\(577\) | −12.8568 | + | 39.5693i | −0.535237 | + | 1.64729i | 0.207900 | + | 0.978150i | \(0.433337\pi\) |
−0.743137 | + | 0.669140i | \(0.766663\pi\) | |||||||
\(578\) | −8.86109 | − | 9.84123i | −0.368573 | − | 0.409341i | ||||
\(579\) | −1.75737 | + | 1.20973i | −0.0730336 | + | 0.0502748i | ||||
\(580\) | 1.08458 | − | 10.3191i | 0.0450347 | − | 0.428476i | ||||
\(581\) | 11.8010 | − | 13.1063i | 0.489586 | − | 0.543740i | ||||
\(582\) | −1.15539 | − | 0.0293940i | −0.0478926 | − | 0.00121842i | ||||
\(583\) | 15.4823 | + | 4.57747i | 0.641209 | + | 0.189579i | ||||
\(584\) | −39.9391 | −1.65269 | ||||||||
\(585\) | 5.27275 | + | 19.5616i | 0.218001 | + | 0.808771i | ||||
\(586\) | 6.75084 | + | 4.90478i | 0.278875 | + | 0.202614i | ||||
\(587\) | 3.41110 | + | 32.4544i | 0.140791 | + | 1.33954i | 0.805571 | + | 0.592499i | \(0.201859\pi\) |
−0.664780 | + | 0.747039i | \(0.731475\pi\) | |||||||
\(588\) | −1.00330 | + | 0.186723i | −0.0413752 | + | 0.00770032i | ||||
\(589\) | −4.26302 | + | 0.906133i | −0.175655 | + | 0.0373366i | ||||
\(590\) | −39.4679 | − | 17.5722i | −1.62487 | − | 0.723437i | ||||
\(591\) | −21.1702 | + | 8.78747i | −0.870827 | + | 0.361468i | ||||
\(592\) | 1.27541 | + | 0.271097i | 0.0524191 | + | 0.0111420i | ||||
\(593\) | −7.14075 | −0.293235 | −0.146618 | − | 0.989193i | \(-0.546839\pi\) | ||||
−0.146618 | + | 0.989193i | \(0.546839\pi\) | |||||||
\(594\) | −6.26102 | − | 16.1777i | −0.256893 | − | 0.663779i | ||||
\(595\) | 21.5675 | 0.884182 | ||||||||
\(596\) | −10.9768 | − | 2.33319i | −0.449626 | − | 0.0955710i | ||||
\(597\) | −9.31751 | + | 3.86757i | −0.381340 | + | 0.158289i | ||||
\(598\) | 2.45709 | + | 1.09397i | 0.100478 | + | 0.0447357i | ||||
\(599\) | 9.22179 | − | 1.96015i | 0.376792 | − | 0.0800896i | −0.0156228 | − | 0.999878i | \(-0.504973\pi\) |
0.392415 | + | 0.919788i | \(0.371640\pi\) | |||||||
\(600\) | −55.9506 | + | 10.4129i | −2.28418 | + | 0.425107i | ||||
\(601\) | −0.0795106 | − | 0.756493i | −0.00324330 | − | 0.0308580i | 0.992781 | − | 0.119945i | \(-0.0382718\pi\) |
−0.996024 | + | 0.0890869i | \(0.971605\pi\) | |||||||
\(602\) | −24.4494 | − | 17.7636i | −0.996484 | − | 0.723988i | ||||
\(603\) | 18.0537 | + | 4.80867i | 0.735204 | + | 0.195824i | ||||
\(604\) | 6.90717 | 0.281049 | ||||||||
\(605\) | −23.9485 | − | 36.7953i | −0.973645 | − | 1.49594i | ||||
\(606\) | −9.24164 | − | 0.235114i | −0.375416 | − | 0.00955083i | ||||
\(607\) | −5.07203 | + | 5.63306i | −0.205867 | + | 0.228639i | −0.837233 | − | 0.546847i | \(-0.815828\pi\) |
0.631366 | + | 0.775485i | \(0.282495\pi\) | |||||||
\(608\) | −1.64565 | + | 15.6573i | −0.0667400 | + | 0.634989i | ||||
\(609\) | −10.3598 | + | 7.13149i | −0.419802 | + | 0.288983i | ||||
\(610\) | 33.0478 | + | 36.7033i | 1.33807 | + | 1.48607i | ||||
\(611\) | −0.0435540 | + | 0.134045i | −0.00176201 | + | 0.00542290i | ||||
\(612\) | −0.312396 | − | 5.79568i | −0.0126279 | − | 0.234277i | ||||
\(613\) | 34.1554 | + | 24.8153i | 1.37952 | + | 1.00228i | 0.996925 | + | 0.0783659i | \(0.0249703\pi\) |
0.382597 | + | 0.923915i | \(0.375030\pi\) | |||||||
\(614\) | 5.16675 | + | 1.09823i | 0.208513 | + | 0.0443208i | ||||
\(615\) | 0.544097 | + | 1.00032i | 0.0219401 | + | 0.0403370i | ||||
\(616\) | −11.8446 | − | 24.8002i | −0.477233 | − | 0.999229i | ||||
\(617\) | 5.15281 | + | 8.92492i | 0.207444 | + | 0.359304i | 0.950909 | − | 0.309471i | \(-0.100152\pi\) |
−0.743465 | + | 0.668775i | \(0.766819\pi\) | |||||||
\(618\) | −17.1477 | − | 4.10330i | −0.689783 | − | 0.165059i | ||||
\(619\) | −24.8045 | + | 11.0437i | −0.996978 | + | 0.443883i | −0.839336 | − | 0.543613i | \(-0.817056\pi\) |
−0.157642 | + | 0.987496i | \(0.550389\pi\) | |||||||
\(620\) | −4.36914 | + | 3.17437i | −0.175469 | + | 0.127486i | ||||
\(621\) | −8.13299 | + | 1.08922i | −0.326366 | + | 0.0437089i | ||||
\(622\) | 4.00521 | − | 12.3268i | 0.160594 | − | 0.494259i | ||||
\(623\) | 1.47740 | + | 14.0565i | 0.0591907 | + | 0.563162i | ||||
\(624\) | −2.84919 | + | 1.18266i | −0.114059 | + | 0.0473442i | ||||
\(625\) | 26.6314 | − | 29.5772i | 1.06526 | − | 1.18309i | ||||
\(626\) | 9.51291 | + | 16.4768i | 0.380212 | + | 0.658547i | ||||
\(627\) | 13.5532 | − | 12.2342i | 0.541263 | − | 0.488586i | ||||
\(628\) | −3.94051 | + | 6.82516i | −0.157243 | + | 0.272353i | ||||
\(629\) | −0.750494 | − | 2.30978i | −0.0299242 | − | 0.0920971i | ||||
\(630\) | 25.8471 | + | 20.8669i | 1.02977 | + | 0.831358i | ||||
\(631\) | −9.66513 | + | 7.02213i | −0.384763 | + | 0.279546i | −0.763306 | − | 0.646037i | \(-0.776425\pi\) |
0.378543 | + | 0.925584i | \(0.376425\pi\) | |||||||
\(632\) | −1.09005 | − | 1.21063i | −0.0433600 | − | 0.0481562i | ||||
\(633\) | −4.12960 | + | 11.6893i | −0.164137 | + | 0.464608i | ||||
\(634\) | 4.52212 | + | 2.01338i | 0.179596 | + | 0.0799614i | ||||
\(635\) | 7.58824 | − | 72.1972i | 0.301130 | − | 2.86506i | ||||
\(636\) | 2.36897 | + | 7.97571i | 0.0939359 | + | 0.316257i | ||||
\(637\) | 0.505146 | − | 0.874938i | 0.0200146 | − | 0.0346663i | ||||
\(638\) | −6.69076 | − | 5.70855i | −0.264890 | − | 0.226004i | ||||
\(639\) | 13.5441 | + | 26.4842i | 0.535796 | + | 1.04770i | ||||
\(640\) | 3.41506 | + | 10.5105i | 0.134992 | + | 0.415463i | ||||
\(641\) | 41.0096 | − | 18.2587i | 1.61978 | − | 0.721174i | 0.621712 | − | 0.783246i | \(-0.286438\pi\) |
0.998072 | + | 0.0620721i | \(0.0197709\pi\) | |||||||
\(642\) | 18.7705 | + | 8.93594i | 0.740815 | + | 0.352673i | ||||
\(643\) | −1.98005 | + | 0.420873i | −0.0780856 | + | 0.0165976i | −0.246789 | − | 0.969069i | \(-0.579375\pi\) |
0.168703 | + | 0.985667i | \(0.446042\pi\) | |||||||
\(644\) | −4.20135 | + | 0.893024i | −0.165556 | + | 0.0351901i | ||||
\(645\) | −5.96392 | − | 75.0640i | −0.234829 | − | 2.95564i | ||||
\(646\) | −5.73007 | + | 2.55119i | −0.225447 | + | 0.100375i | ||||
\(647\) | −4.57425 | − | 14.0781i | −0.179832 | − | 0.553467i | 0.819989 | − | 0.572380i | \(-0.193980\pi\) |
−0.999821 | + | 0.0189123i | \(0.993980\pi\) | |||||||
\(648\) | 15.8390 | − | 21.9377i | 0.622215 | − | 0.861793i | ||||
\(649\) | 30.4017 | − | 18.6515i | 1.19337 | − | 0.732136i | ||||
\(650\) | 9.30717 | − | 16.1205i | 0.365057 | − | 0.632298i | ||||
\(651\) | 6.36654 | + | 1.52346i | 0.249524 | + | 0.0597090i | ||||
\(652\) | −0.466377 | + | 4.43728i | −0.0182647 | + | 0.173777i | ||||
\(653\) | −34.2698 | − | 15.2579i | −1.34108 | − | 0.597087i | −0.394303 | − | 0.918980i | \(-0.629014\pi\) |
−0.946776 | + | 0.321893i | \(0.895681\pi\) | |||||||
\(654\) | 30.5642 | − | 5.68829i | 1.19516 | − | 0.222430i | ||||
\(655\) | 27.8756 | + | 30.9590i | 1.08919 | + | 1.20967i | ||||
\(656\) | −0.140276 | + | 0.101916i | −0.00547684 | + | 0.00397916i | ||||
\(657\) | −6.17581 | + | 39.3720i | −0.240941 | + | 1.53605i | ||||
\(658\) | 0.0714136 | + | 0.219788i | 0.00278399 | + | 0.00856824i | ||||
\(659\) | −14.0562 | + | 24.3461i | −0.547553 | + | 0.948389i | 0.450889 | + | 0.892580i | \(0.351107\pi\) |
−0.998441 | + | 0.0558088i | \(0.982226\pi\) | |||||||
\(660\) | 9.17641 | − | 20.6803i | 0.357191 | − | 0.804981i | ||||
\(661\) | 19.7955 | + | 34.2867i | 0.769954 | + | 1.33360i | 0.937587 | + | 0.347750i | \(0.113054\pi\) |
−0.167633 | + | 0.985849i | \(0.553612\pi\) | |||||||
\(662\) | −1.97320 | + | 2.19146i | −0.0766907 | + | 0.0851736i | ||||
\(663\) | 4.56114 | + | 3.49449i | 0.177140 | + | 0.135715i | ||||
\(664\) | 2.01081 | + | 19.1316i | 0.0780345 | + | 0.742449i | ||||
\(665\) | −10.8045 | + | 33.2528i | −0.418980 | + | 1.28949i | ||||
\(666\) | 1.33534 | − | 3.49422i | 0.0517433 | − | 0.135398i | ||||
\(667\) | −3.36577 | + | 2.44538i | −0.130323 | + | 0.0946853i | ||||
\(668\) | 0.0995736 | − | 0.0443330i | 0.00385262 | − | 0.00171530i | ||||
\(669\) | 16.3584 | − | 17.2639i | 0.632454 | − | 0.667462i | ||||
\(670\) | −12.5095 | − | 21.6671i | −0.483285 | − | 0.837074i | ||||
\(671\) | −40.4228 | + | 5.34271i | −1.56050 | + | 0.206253i | ||||
\(672\) | 12.3408 | − | 20.1720i | 0.476055 | − | 0.778151i | ||||
\(673\) | −43.7068 | − | 9.29018i | −1.68477 | − | 0.358110i | −0.736715 | − | 0.676203i | \(-0.763624\pi\) |
−0.948059 | + | 0.318093i | \(0.896958\pi\) | |||||||
\(674\) | 20.0288 | + | 14.5518i | 0.771482 | + | 0.560514i | ||||
\(675\) | 1.61341 | + | 56.7664i | 0.0621000 | + | 2.18494i | ||||
\(676\) | 3.09115 | − | 9.51359i | 0.118891 | − | 0.365907i | ||||
\(677\) | 22.0896 | + | 24.5330i | 0.848973 | + | 0.942880i | 0.998950 | − | 0.0458096i | \(-0.0145868\pi\) |
−0.149977 | + | 0.988689i | \(0.547920\pi\) | |||||||
\(678\) | −0.817948 | − | 10.2950i | −0.0314131 | − | 0.395376i | ||||
\(679\) | −0.190995 | + | 1.81720i | −0.00732971 | + | 0.0697376i | ||||
\(680\) | −15.7413 | + | 17.4825i | −0.603652 | + | 0.670424i | ||||
\(681\) | −9.09522 | − | 16.7216i | −0.348530 | − | 0.640773i | ||||
\(682\) | 0.122164 | + | 4.57613i | 0.00467789 | + | 0.175229i | ||||
\(683\) | −23.4567 | −0.897544 | −0.448772 | − | 0.893646i | \(-0.648138\pi\) | ||||
−0.448772 | + | 0.893646i | \(0.648138\pi\) | |||||||
\(684\) | 9.09228 | + | 2.42176i | 0.347652 | + | 0.0925983i | ||||
\(685\) | −50.9188 | − | 36.9947i | −1.94551 | − | 1.41350i | ||||
\(686\) | 1.85687 | + | 17.6670i | 0.0708957 | + | 0.674528i | ||||
\(687\) | 9.79783 | − | 27.7338i | 0.373811 | − | 1.05811i | ||||
\(688\) | 11.2152 | − | 2.38387i | 0.427577 | − | 0.0908843i | ||||
\(689\) | −7.52458 | − | 3.35016i | −0.286664 | − | 0.127631i | ||||
\(690\) | 8.72260 | + | 6.68277i | 0.332064 | + | 0.254409i | ||||
\(691\) | −32.7232 | − | 6.95553i | −1.24485 | − | 0.264601i | −0.462038 | − | 0.886860i | \(-0.652882\pi\) |
−0.782811 | + | 0.622259i | \(0.786215\pi\) | |||||||
\(692\) | −1.25119 | −0.0475633 | ||||||||
\(693\) | −26.2797 | + | 7.84157i | −0.998282 | + | 0.297877i | ||||
\(694\) | 24.6005 | 0.933822 | ||||||||
\(695\) | −4.39304 | − | 0.933770i | −0.166638 | − | 0.0354199i | ||||
\(696\) | 1.78052 | − | 13.6026i | 0.0674903 | − | 0.515607i | ||||
\(697\) | 0.295035 | + | 0.131358i | 0.0111752 | + | 0.00497554i | ||||
\(698\) | 4.73438 | − | 1.00632i | 0.179199 | − | 0.0380899i | ||||
\(699\) | −1.62550 | − | 1.90035i | −0.0614820 | − | 0.0718777i | ||||
\(700\) | 3.10724 | + | 29.5634i | 0.117443 | + | 1.11739i | ||||
\(701\) | −0.477738 | − | 0.347097i | −0.0180439 | − | 0.0131097i | 0.578727 | − | 0.815522i | \(-0.303550\pi\) |
−0.596771 | + | 0.802412i | \(0.703550\pi\) | |||||||
\(702\) | 2.08522 | + | 8.60086i | 0.0787015 | + | 0.324619i | ||||
\(703\) | 3.93719 | 0.148494 | ||||||||
\(704\) | 22.5535 | + | 6.66816i | 0.850018 | + | 0.251316i | ||||
\(705\) | −0.300499 | + | 0.491190i | −0.0113174 | + | 0.0184993i | ||||
\(706\) | −22.2282 | + | 24.6870i | −0.836571 | + | 0.929106i | ||||
\(707\) | −1.52771 | + | 14.5352i | −0.0574554 | + | 0.546652i | ||||
\(708\) | 16.5961 | + | 7.90078i | 0.623721 | + | 0.296929i | ||||
\(709\) | −23.8110 | − | 26.4448i | −0.894242 | − | 0.993156i | 0.105757 | − | 0.994392i | \(-0.466273\pi\) |
−0.999999 | + | 0.00123553i | \(0.999607\pi\) | |||||||
\(710\) | 12.3095 | − | 37.8846i | 0.461966 | − | 1.42179i | ||||
\(711\) | −1.36200 | + | 0.887377i | −0.0510788 | + | 0.0332792i | ||||
\(712\) | −12.4724 | − | 9.06173i | −0.467423 | − | 0.339603i | ||||
\(713\) | 2.11808 | + | 0.450213i | 0.0793229 | + | 0.0168606i | ||||
\(714\) | 9.41826 | + | 0.239607i | 0.352469 | + | 0.00896706i | ||||
\(715\) | 9.65288 | + | 20.2112i | 0.360997 | + | 0.755855i | ||||
\(716\) | 11.7917 | + | 20.4238i | 0.440677 | + | 0.763275i | ||||
\(717\) | −8.06397 | − | 27.1492i | −0.301155 | − | 1.01391i | ||||
\(718\) | −29.1485 | + | 12.9778i | −1.08781 | + | 0.484326i | ||||
\(719\) | 22.3460 | − | 16.2353i | 0.833364 | − | 0.605474i | −0.0871452 | − | 0.996196i | \(-0.527774\pi\) |
0.920509 | + | 0.390721i | \(0.127774\pi\) | |||||||
\(720\) | −12.4450 | + | 1.99011i | −0.463800 | + | 0.0741670i | ||||
\(721\) | −8.61383 | + | 26.5107i | −0.320796 | + | 0.987308i | ||||
\(722\) | 0.936214 | + | 8.90748i | 0.0348423 | + | 0.331502i | ||||
\(723\) | 5.00553 | − | 38.2409i | 0.186158 | − | 1.42219i | ||||
\(724\) | 8.94983 | − | 9.93979i | 0.332618 | − | 0.369409i | ||||
\(725\) | 14.3964 | + | 24.9353i | 0.534668 | + | 0.926073i | ||||
\(726\) | −10.0492 | − | 16.3341i | −0.372961 | − | 0.606215i | ||||
\(727\) | −7.12143 | + | 12.3347i | −0.264119 | + | 0.457468i | −0.967332 | − | 0.253511i | \(-0.918415\pi\) |
0.703213 | + | 0.710979i | \(0.251748\pi\) | |||||||
\(728\) | 4.33287 | + | 13.3352i | 0.160587 | + | 0.494235i | ||||
\(729\) | −19.1770 | − | 19.0064i | −0.710259 | − | 0.703940i | ||||
\(730\) | 43.1762 | − | 31.3693i | 1.59802 | − | 1.16103i | ||||
\(731\) | −14.2901 | − | 15.8707i | −0.528537 | − | 0.586999i | ||||
\(732\) | −13.6586 | − | 15.9681i | −0.504836 | − | 0.590196i | ||||
\(733\) | −14.3660 | − | 6.39614i | −0.530619 | − | 0.236247i | 0.123897 | − | 0.992295i | \(-0.460461\pi\) |
−0.654516 | + | 0.756048i | \(0.727127\pi\) | |||||||
\(734\) | −1.71162 | + | 16.2849i | −0.0631769 | + | 0.601088i | ||||
\(735\) | 2.83895 | − | 2.99609i | 0.104716 | − | 0.110513i | ||||
\(736\) | 3.91111 | − | 6.77423i | 0.144165 | − | 0.249702i | ||||
\(737\) | 20.5921 | + | 1.61008i | 0.758521 | + | 0.0593080i | ||||
\(738\) | 0.226487 | + | 0.442874i | 0.00833710 | + | 0.0163024i | ||||
\(739\) | 3.29544 | + | 10.1423i | 0.121225 | + | 0.373091i | 0.993194 | − | 0.116469i | \(-0.0371574\pi\) |
−0.871970 | + | 0.489560i | \(0.837157\pi\) | |||||||
\(740\) | 4.45699 | − | 1.98438i | 0.163842 | − | 0.0729473i | ||||
\(741\) | −7.67275 | + | 5.28176i | −0.281866 | + | 0.194030i | ||||
\(742\) | −13.2102 | + | 2.80791i | −0.484961 | + | 0.103082i | ||||
\(743\) | 29.8013 | − | 6.33445i | 1.09330 | − | 0.232389i | 0.374238 | − | 0.927333i | \(-0.377904\pi\) |
0.719064 | + | 0.694944i | \(0.244571\pi\) | |||||||
\(744\) | −5.88160 | + | 4.04876i | −0.215630 | + | 0.148435i | ||||
\(745\) | 41.4633 | − | 18.4607i | 1.51910 | − | 0.676347i | ||||
\(746\) | 0.716176 | + | 2.20416i | 0.0262211 | + | 0.0807001i | ||||
\(747\) | 19.1709 | + | 0.976072i | 0.701426 | + | 0.0357126i | ||||
\(748\) | −1.50112 | − | 6.23861i | −0.0548864 | − | 0.228106i | ||||
\(749\) | 16.4332 | − | 28.4631i | 0.600455 | − | 1.04002i | ||||
\(750\) | 28.3768 | − | 29.9476i | 1.03618 | − | 1.09353i | ||||
\(751\) | −1.18813 | + | 11.3043i | −0.0433555 | + | 0.412500i | 0.951222 | + | 0.308506i | \(0.0998290\pi\) |
−0.994578 | + | 0.103994i | \(0.966838\pi\) | |||||||
\(752\) | −0.0800980 | − | 0.0356619i | −0.00292087 | − | 0.00130046i | ||||
\(753\) | 1.55667 | + | 1.81988i | 0.0567281 | + | 0.0663200i | ||||
\(754\) | 3.00242 | + | 3.33453i | 0.109342 | + | 0.121436i | ||||
\(755\) | −22.6007 | + | 16.4204i | −0.822523 | + | 0.597598i | ||||
\(756\) | −10.7674 | − | 9.15468i | −0.391606 | − | 0.332952i | ||||
\(757\) | 8.38574 | + | 25.8087i | 0.304785 | + | 0.938032i | 0.979757 | + | 0.200189i | \(0.0641555\pi\) |
−0.674972 | + | 0.737843i | \(0.735844\pi\) | |||||||
\(758\) | 6.64014 | − | 11.5011i | 0.241181 | − | 0.417737i | ||||
\(759\) | −8.62412 | + | 2.81411i | −0.313036 | + | 0.102146i | ||||
\(760\) | −19.0687 | − | 33.0280i | −0.691696 | − | 1.19805i | ||||
\(761\) | 15.8412 | − | 17.5934i | 0.574243 | − | 0.637761i | −0.384131 | − | 0.923279i | \(-0.625499\pi\) |
0.958374 | + | 0.285517i | \(0.0921655\pi\) | |||||||
\(762\) | 4.11577 | − | 31.4433i | 0.149099 | − | 1.13907i | ||||
\(763\) | −5.13757 | − | 48.8808i | −0.185993 | − | 1.76960i | ||||
\(764\) | −0.0911354 | + | 0.280486i | −0.00329716 | + | 0.0101476i | ||||
\(765\) | 14.8002 | + | 18.2212i | 0.535103 | + | 0.658788i | ||||
\(766\) | −6.08209 | + | 4.41890i | −0.219755 | + | 0.159661i | ||||
\(767\) | −16.6233 | + | 7.40119i | −0.600234 | + | 0.267241i | ||||
\(768\) | 8.36876 | + | 28.1754i | 0.301981 | + | 1.01669i | ||||
\(769\) | 17.9695 | + | 31.1242i | 0.647998 | + | 1.12237i | 0.983600 | + | 0.180362i | \(0.0577270\pi\) |
−0.335602 | + | 0.942004i | \(0.608940\pi\) | |||||||
\(770\) | 32.2835 | + | 17.5072i | 1.16342 | + | 0.630916i | ||||
\(771\) | 22.0859 | + | 0.561880i | 0.795404 | + | 0.0202356i | ||||
\(772\) | −1.18896 | − | 0.252721i | −0.0427916 | − | 0.00909563i | ||||
\(773\) | 19.7882 | + | 14.3770i | 0.711733 | + | 0.517105i | 0.883732 | − | 0.467993i | \(-0.155023\pi\) |
−0.171999 | + | 0.985097i | \(0.555023\pi\) | |||||||
\(774\) | −1.77043 | − | 32.8457i | −0.0636370 | − | 1.18062i | ||||
\(775\) | 4.63103 | − | 14.2529i | 0.166352 | − | 0.511978i | ||||
\(776\) | −1.33361 | − | 1.48112i | −0.0478737 | − | 0.0531692i | ||||
\(777\) | −5.33962 | − | 2.54199i | −0.191558 | − | 0.0911933i | ||||
\(778\) | 3.24526 | − | 30.8766i | 0.116348 | − | 1.10698i | ||||
\(779\) | −0.350329 | + | 0.389079i | −0.0125518 | + | 0.0139402i | ||||
\(780\) | −6.02368 | + | 9.84621i | −0.215683 | + | 0.352551i | ||||
\(781\) | 20.0330 | + | 26.0800i | 0.716838 | + | 0.933217i | ||||
\(782\) | 3.11642 | 0.111443 | ||||||||
\(783\) | −13.1342 | − | 3.85863i | −0.469378 | − | 0.137896i | ||||
\(784\) | 0.508452 | + | 0.369412i | 0.0181590 | + | 0.0131933i | ||||
\(785\) | −3.33181 | − | 31.7000i | −0.118917 | − | 1.13142i | ||||
\(786\) | 11.8290 | + | 13.8291i | 0.421926 | + | 0.493267i | ||||
\(787\) | −30.4763 | + | 6.47793i | −1.08636 | + | 0.230913i | −0.716088 | − | 0.698010i | \(-0.754069\pi\) |
−0.370273 | + | 0.928923i | \(0.620736\pi\) | |||||||
\(788\) | −11.9301 | − | 5.31164i | −0.424994 | − | 0.189220i | ||||
\(789\) | −3.23655 | + | 24.7263i | −0.115224 | + | 0.880279i | ||||
\(790\) | 2.12927 | + | 0.452590i | 0.0757559 | + | 0.0161024i | ||||
\(791\) | −16.3271 | −0.580524 | ||||||||
\(792\) | 12.8242 | − | 27.0254i | 0.455688 | − | 0.960306i | ||||
\(793\) | 20.8021 | 0.738704 | ||||||||
\(794\) | 16.6694 | + | 3.54318i | 0.591573 | + | 0.125743i | ||||
\(795\) | −26.7120 | − | 20.4653i | −0.947377 | − | 0.725828i | ||||
\(796\) | −5.25074 | − | 2.33778i | −0.186108 | − | 0.0828604i | ||||
\(797\) | 31.1623 | − | 6.62375i | 1.10383 | − | 0.234625i | 0.380259 | − | 0.924880i | \(-0.375835\pi\) |
0.723566 | + | 0.690255i | \(0.242502\pi\) | |||||||
\(798\) | −5.08761 | + | 14.4010i | −0.180099 | + | 0.509791i | ||||
\(799\) | 0.0170704 | + | 0.162414i | 0.000603909 | + | 0.00574581i | ||||
\(800\) | −43.7969 | − | 31.8203i | −1.54846 | − | 1.12502i | ||||
\(801\) | −10.8617 | + | 10.8941i | −0.383779 | + | 0.384924i | ||||
\(802\) | 2.31830 | 0.0818620 | ||||||||
\(803\) | 1.17579 | + | 44.0439i | 0.0414928 | + | 1.55428i | ||||
\(804\) | 5.08604 | + | 9.35070i | 0.179371 | + | 0.329774i | ||||
\(805\) | 11.6241 | − | 12.9098i | 0.409695 | − | 0.455012i | ||||
\(806\) | 0.244122 | − | 2.32267i | 0.00859884 | − | 0.0818125i | ||||
\(807\) | −1.00045 | − | 12.5920i | −0.0352174 | − | 0.443259i | ||||
\(808\) | −10.6671 | − | 11.8470i | −0.375268 | − | 0.416777i | ||||
\(809\) | 4.88490 | − | 15.0342i | 0.171744 | − | 0.528573i | −0.827726 | − | 0.561133i | \(-0.810366\pi\) |
0.999470 | + | 0.0325593i | \(0.0103658\pi\) | |||||||
\(810\) | 0.107710 | + | 36.1562i | 0.00378453 | + | 1.27040i | ||||
\(811\) | −7.49389 | − | 5.44463i | −0.263146 | − | 0.191187i | 0.448387 | − | 0.893840i | \(-0.351999\pi\) |
−0.711533 | + | 0.702653i | \(0.751999\pi\) | |||||||
\(812\) | −7.00903 | − | 1.48982i | −0.245969 | − | 0.0522823i | ||||
\(813\) | −3.43165 | + | 5.60932i | −0.120353 | + | 0.196728i | ||||
\(814\) | 0.751560 | − | 4.06662i | 0.0263422 | − | 0.142535i | ||||
\(815\) | −9.02270 | − | 15.6278i | −0.316051 | − | 0.547417i | ||||
\(816\) | −2.45853 | + | 2.59462i | −0.0860658 | + | 0.0908298i | ||||
\(817\) | 31.6282 | − | 14.0818i | 1.10653 | − | 0.492659i | ||||
\(818\) | −25.0698 | + | 18.2143i | −0.876545 | + | 0.636847i | ||||
\(819\) | 13.8159 | − | 2.20932i | 0.482765 | − | 0.0771998i | ||||
\(820\) | −0.200481 | + | 0.617016i | −0.00700109 | + | 0.0215471i | ||||
\(821\) | 2.48181 | + | 23.6128i | 0.0866156 | + | 0.824093i | 0.948455 | + | 0.316911i | \(0.102646\pi\) |
−0.861840 | + | 0.507181i | \(0.830688\pi\) | |||||||
\(822\) | −21.8246 | − | 16.7208i | −0.761221 | − | 0.583205i | ||||
\(823\) | 10.2484 | − | 11.3820i | 0.357238 | − | 0.396753i | −0.537559 | − | 0.843226i | \(-0.680653\pi\) |
0.894797 | + | 0.446473i | \(0.147320\pi\) | |||||||
\(824\) | −15.2025 | − | 26.3314i | −0.529603 | − | 0.917299i | ||||
\(825\) | 13.1303 | + | 61.3946i | 0.457140 | + | 2.13749i | ||||
\(826\) | −14.9180 | + | 25.8387i | −0.519064 | + | 0.899045i | ||||
\(827\) | −1.12018 | − | 3.44755i | −0.0389524 | − | 0.119883i | 0.929689 | − | 0.368344i | \(-0.120075\pi\) |
−0.968642 | + | 0.248461i | \(0.920075\pi\) | |||||||
\(828\) | −3.63754 | − | 2.93666i | −0.126413 | − | 0.102056i | ||||
\(829\) | 11.2926 | − | 8.20454i | 0.392207 | − | 0.284955i | −0.374152 | − | 0.927367i | \(-0.622066\pi\) |
0.766359 | + | 0.642412i | \(0.222066\pi\) | |||||||
\(830\) | −17.2003 | − | 19.1029i | −0.597031 | − | 0.663070i | ||||
\(831\) | −48.7328 | + | 9.06964i | −1.69052 | + | 0.314622i | ||||
\(832\) | −10.9613 | − | 4.88029i | −0.380015 | − | 0.169194i | ||||
\(833\) | 0.122362 | − | 1.16419i | 0.00423958 | − | 0.0403369i | ||||
\(834\) | −1.90801 | − | 0.456570i | −0.0660690 | − | 0.0158097i | ||||
\(835\) | −0.220418 | + | 0.381776i | −0.00762789 | + | 0.0132119i | ||||
\(836\) | 10.3707 | + | 0.810874i | 0.358678 | + | 0.0280447i | ||||
\(837\) | 3.08180 | + | 6.42416i | 0.106523 | + | 0.222051i | ||||
\(838\) | 3.57465 | + | 11.0016i | 0.123484 | + | 0.380045i | ||||
\(839\) | −40.8980 | + | 18.2090i | −1.41196 | + | 0.628644i | −0.964119 | − | 0.265471i | \(-0.914472\pi\) |
−0.447838 | + | 0.894115i | \(0.647806\pi\) | |||||||
\(840\) | 4.53698 | + | 57.1040i | 0.156541 | + | 1.97028i | ||||
\(841\) | 21.5774 | − | 4.58641i | 0.744047 | − | 0.158152i | ||||
\(842\) | −25.2296 | + | 5.36271i | −0.869468 | + | 0.184811i | ||||
\(843\) | 38.6931 | + | 18.4203i | 1.33266 | + | 0.634430i | ||||
\(844\) | −6.45252 | + | 2.87285i | −0.222105 | + | 0.0988875i | ||||
\(845\) | 12.5021 | + | 38.4776i | 0.430087 | + | 1.32367i | ||||
\(846\) | −0.136681 | + | 0.211158i | −0.00469918 | + | 0.00725976i | ||||
\(847\) | −27.0005 | + | 13.7921i | −0.927746 | + | 0.473902i | ||||
\(848\) | 2.56193 | − | 4.43740i | 0.0879772 | − | 0.152381i | ||||
\(849\) | 10.3214 | + | 34.7492i | 0.354228 | + | 1.19259i | ||||
\(850\) | 2.25448 | − | 21.4500i | 0.0773281 | − | 0.735728i | ||||
\(851\) | −1.78707 | − | 0.795657i | −0.0612601 | − | 0.0272748i | ||||
\(852\) | −5.64532 | + | 15.9797i | −0.193405 | + | 0.547456i | ||||
\(853\) | 15.5273 | + | 17.2448i | 0.531643 | + | 0.590450i | 0.947809 | − | 0.318839i | \(-0.103293\pi\) |
−0.416165 | + | 0.909289i | \(0.636626\pi\) | |||||||
\(854\) | 27.5942 | − | 20.0483i | 0.944253 | − | 0.686040i | ||||
\(855\) | −35.5077 | + | 13.6909i | −1.21434 | + | 0.468217i | ||||
\(856\) | 11.0781 | + | 34.0947i | 0.378640 | + | 1.16533i | ||||
\(857\) | 11.7909 | − | 20.4225i | 0.402770 | − | 0.697618i | −0.591289 | − | 0.806460i | \(-0.701381\pi\) |
0.994059 | + | 0.108842i | \(0.0347142\pi\) | |||||||
\(858\) | 3.99075 | + | 8.93320i | 0.136242 | + | 0.304974i | ||||
\(859\) | −28.2397 | − | 48.9125i | −0.963525 | − | 1.66887i | −0.713526 | − | 0.700628i | \(-0.752903\pi\) |
−0.249999 | − | 0.968246i | \(-0.580430\pi\) | |||||||
\(860\) | 28.7065 | − | 31.8818i | 0.978885 | − | 1.08716i | ||||
\(861\) | 0.726318 | − | 0.301485i | 0.0247529 | − | 0.0102746i | ||||
\(862\) | 0.244562 | + | 2.32686i | 0.00832983 | + | 0.0792530i | ||||
\(863\) | 13.0399 | − | 40.1328i | 0.443884 | − | 1.36614i | −0.439818 | − | 0.898087i | \(-0.644957\pi\) |
0.883703 | − | 0.468049i | \(-0.155043\pi\) | |||||||
\(864\) | 25.5107 | − | 3.41655i | 0.867892 | − | 0.116233i | ||||
\(865\) | 4.09398 | − | 2.97445i | 0.139200 | − | 0.101134i | ||||
\(866\) | 19.3081 | − | 8.59653i | 0.656116 | − | 0.292122i | ||||
\(867\) | −22.1615 | − | 5.30306i | −0.752645 | − | 0.180101i | ||||
\(868\) | 1.86482 | + | 3.22995i | 0.0632959 | + | 0.109632i | ||||
\(869\) | −1.30296 | + | 1.23773i | −0.0442000 | + | 0.0419871i | ||||
\(870\) | 8.75909 | + | 16.1036i | 0.296961 | + | 0.545964i | ||||
\(871\) | −10.3074 | − | 2.19091i | −0.349253 | − | 0.0742361i | ||||
\(872\) | 43.3722 | + | 31.5117i | 1.46877 | + | 1.06712i | ||||
\(873\) | −1.66631 | + | 1.08565i | −0.0563961 | + | 0.0367436i | ||||
\(874\) | −1.56120 | + | 4.80489i | −0.0528085 | + | 0.162528i | ||||
\(875\) | −43.6435 | − | 48.4711i | −1.47542 | − | 1.63862i | ||||
\(876\) | −18.7029 | + | 12.8747i | −0.631912 | + | 0.434994i | ||||
\(877\) | −1.48491 | + | 14.1280i | −0.0501418 | + | 0.477068i | 0.940421 | + | 0.340011i | \(0.110431\pi\) |
−0.990563 | + | 0.137057i | \(0.956236\pi\) | |||||||
\(878\) | −12.1576 | + | 13.5024i | −0.410300 | + | 0.455685i | ||||
\(879\) | 14.3541 | + | 0.365177i | 0.484150 | + | 0.0123171i | ||||
\(880\) | −13.1318 | + | 4.65773i | −0.442671 | + | 0.157012i | ||||
\(881\) | −6.35116 | −0.213976 | −0.106988 | − | 0.994260i | \(-0.534121\pi\) | ||||
−0.106988 | + | 0.994260i | \(0.534121\pi\) | |||||||
\(882\) | 1.27302 | − | 1.27682i | 0.0428647 | − | 0.0429926i | ||||
\(883\) | 32.1004 | + | 23.3223i | 1.08026 | + | 0.784857i | 0.977729 | − | 0.209872i | \(-0.0673048\pi\) |
0.102535 | + | 0.994729i | \(0.467305\pi\) | |||||||
\(884\) | 0.342188 | + | 3.25570i | 0.0115090 | + | 0.109501i | ||||
\(885\) | −73.0860 | + | 13.6020i | −2.45676 | + | 0.457226i | ||||
\(886\) | −32.8374 | + | 6.97980i | −1.10319 | + | 0.234491i | ||||
\(887\) | 21.8649 | + | 9.73487i | 0.734151 | + | 0.326865i | 0.739533 | − | 0.673121i | \(-0.235047\pi\) |
−0.00538210 | + | 0.999986i | \(0.501713\pi\) | |||||||
\(888\) | 5.95771 | − | 2.47296i | 0.199927 | − | 0.0829872i | ||||
\(889\) | −49.0386 | − | 10.4235i | −1.64470 | − | 0.349592i | ||||
\(890\) | 20.6007 | 0.690536 | ||||||||
\(891\) | −24.6587 | − | 16.8211i | −0.826097 | − | 0.563528i | ||||
\(892\) | 13.5501 | 0.453691 | ||||||||
\(893\) | −0.258962 | − | 0.0550441i | −0.00866584 | − | 0.00184198i | ||||
\(894\) | 18.3116 | − | 7.60089i | 0.612431 | − | 0.254212i | ||||
\(895\) | −87.1366 | − | 38.7957i | −2.91265 | − | 1.29680i | ||||
\(896\) | 7.46531 | − | 1.58680i | 0.249399 | − | 0.0530113i | ||||
\(897\) | 4.55001 | − | 0.846799i | 0.151920 | − | 0.0282738i | ||||
\(898\) | −1.62858 | − | 15.4949i | −0.0543463 | − | 0.517070i | ||||
\(899\) | 2.92258 | + | 2.12338i | 0.0974735 | + | 0.0708186i | ||||
\(900\) | −22.8442 | + | 22.9123i | −0.761473 | + | 0.763745i | ||||
\(901\) | −9.54369 | −0.317947 | ||||||||
\(902\) | 0.334996 | + | 0.436115i | 0.0111541 | + | 0.0145210i | ||||
\(903\) | −51.9858 | − | 1.32256i | −1.72998 | − | 0.0440119i | ||||
\(904\) | 11.9165 | − | 13.2346i | 0.396337 | − | 0.440177i | ||||
\(905\) | −5.65460 | + | 53.7999i | −0.187965 | + | 1.78837i | ||||
\(906\) | −10.0518 | + | 6.91947i | −0.333950 | + | 0.229884i | ||||
\(907\) | −11.3703 | − | 12.6280i | −0.377545 | − | 0.419306i | 0.524186 | − | 0.851604i | \(-0.324370\pi\) |
−0.901731 | + | 0.432298i | \(0.857703\pi\) | |||||||
\(908\) | 3.35127 | − | 10.3141i | 0.111216 | − | 0.342287i | ||||
\(909\) | −13.3283 | + | 8.68375i | −0.442072 | + | 0.288022i | ||||
\(910\) | −15.1579 | − | 11.0129i | −0.502480 | − | 0.365073i | ||||
\(911\) | −4.95022 | − | 1.05220i | −0.164008 | − | 0.0348610i | 0.125176 | − | 0.992135i | \(-0.460051\pi\) |
−0.289184 | + | 0.957274i | \(0.593384\pi\) | |||||||
\(912\) | −2.76875 | − | 5.09036i | −0.0916825 | − | 0.168559i | ||||
\(913\) | 21.0387 | − | 2.78070i | 0.696279 | − | 0.0920278i | ||||
\(914\) | 6.31169 | + | 10.9322i | 0.208772 | + | 0.361604i | ||||
\(915\) | 82.6524 | + | 19.7780i | 2.73241 | + | 0.653841i | ||||
\(916\) | 15.3091 | − | 6.81607i | 0.505828 | − | 0.225209i | ||||
\(917\) | 23.2755 | − | 16.9106i | 0.768624 | − | 0.558438i | ||||
\(918\) | 6.26063 | + | 8.12137i | 0.206632 | + | 0.268045i | ||||
\(919\) | −16.4107 | + | 50.5068i | −0.541338 | + | 1.66607i | 0.188205 | + | 0.982130i | \(0.439733\pi\) |
−0.729542 | + | 0.683936i | \(0.760267\pi\) | |||||||
\(920\) | 1.98067 | + | 18.8448i | 0.0653008 | + | 0.621295i | ||||
\(921\) | 8.39477 | − | 3.48455i | 0.276617 | − | 0.114820i | ||||
\(922\) | 15.2152 | − | 16.8982i | 0.501085 | − | 0.556512i | ||||
\(923\) | −8.38883 | − | 14.5299i | −0.276122 | − | 0.478257i | ||||
\(924\) | −13.5412 | − | 7.79538i | −0.445473 | − | 0.256449i | ||||
\(925\) | −6.76923 | + | 11.7246i | −0.222571 | + | 0.385504i | ||||
\(926\) | 9.07127 | + | 27.9185i | 0.298100 | + | 0.917459i | ||||
\(927\) | −28.3084 | + | 10.9150i | −0.929769 | + | 0.358495i | ||||
\(928\) | 10.5574 | − | 7.67040i | 0.346564 | − | 0.251793i | ||||
\(929\) | 7.07861 | + | 7.86159i | 0.232241 | + | 0.257930i | 0.847990 | − | 0.530013i | \(-0.177813\pi\) |
−0.615748 | + | 0.787943i | \(0.711146\pi\) | |||||||
\(930\) | 3.17829 | − | 8.99651i | 0.104220 | − | 0.295007i | ||||
\(931\) | 1.73366 | + | 0.771873i | 0.0568183 | + | 0.0252971i | ||||
\(932\) | 0.148926 | − | 1.41693i | 0.00487823 | − | 0.0464132i | ||||
\(933\) | −6.35024 | − | 21.3796i | −0.207898 | − | 0.699936i | ||||
\(934\) | −10.2920 | + | 17.8263i | −0.336765 | + | 0.583294i | ||||
\(935\) | 19.7428 | + | 16.8445i | 0.645657 | + | 0.550875i | ||||
\(936\) | −8.29282 | + | 12.8116i | −0.271059 | + | 0.418759i | ||||
\(937\) | −7.71660 | − | 23.7493i | −0.252090 | − | 0.775855i | −0.994389 | − | 0.105785i | \(-0.966264\pi\) |
0.742299 | − | 0.670069i | \(-0.233736\pi\) | |||||||
\(938\) | −15.7844 | + | 7.02767i | −0.515379 | + | 0.229462i | ||||
\(939\) | 29.5597 | + | 14.0722i | 0.964645 | + | 0.459230i | ||||
\(940\) | −0.320894 | + | 0.0682081i | −0.0104664 | + | 0.00222470i | ||||
\(941\) | −22.0720 | + | 4.69155i | −0.719528 | + | 0.152940i | −0.553102 | − | 0.833114i | \(-0.686556\pi\) |
−0.166426 | + | 0.986054i | \(0.553223\pi\) | |||||||
\(942\) | −1.10278 | − | 13.8800i | −0.0359306 | − | 0.452235i | ||||
\(943\) | 0.237641 | − | 0.105804i | 0.00773864 | − | 0.00344547i | ||||
\(944\) | −3.49797 | − | 10.7657i | −0.113849 | − | 0.350392i | ||||
\(945\) | 56.9948 | + | 4.35748i | 1.85404 | + | 0.141749i | ||||
\(946\) | −8.50727 | − | 35.3560i | −0.276595 | − | 1.14952i | ||||
\(947\) | −13.8456 | + | 23.9812i | −0.449921 | + | 0.779285i | −0.998380 | − | 0.0568917i | \(-0.981881\pi\) |
0.548460 | + | 0.836177i | \(0.315214\pi\) | |||||||
\(948\) | −0.900711 | − | 0.215532i | −0.0292537 | − | 0.00700016i | ||||
\(949\) | 2.34961 | − | 22.3550i | 0.0762716 | − | 0.725675i | ||||
\(950\) | 31.9421 | + | 14.2216i | 1.03634 | + | 0.461408i | ||||
\(951\) | 8.37399 | − | 1.55848i | 0.271545 | − | 0.0505371i | ||||
\(952\) | 10.8710 | + | 12.0734i | 0.352330 | + | 0.391303i | ||||
\(953\) | −8.04568 | + | 5.84553i | −0.260625 | + | 0.189355i | −0.710423 | − | 0.703775i | \(-0.751496\pi\) |
0.449797 | + | 0.893131i | \(0.351496\pi\) | |||||||
\(954\) | −11.4374 | − | 9.23367i | −0.370300 | − | 0.298951i | ||||
\(955\) | −0.368596 | − | 1.13442i | −0.0119275 | − | 0.0367091i | ||||
\(956\) | 8.06786 | − | 13.9739i | 0.260933 | − | 0.451950i | ||||
\(957\) | −15.0531 | − | 1.56306i | −0.486598 | − | 0.0505265i | ||||
\(958\) | 10.7402 | + | 18.6027i | 0.347002 | + | 0.601024i | ||||
\(959\) | −29.0843 | + | 32.3014i | −0.939182 | + | 1.04307i | ||||
\(960\) | −38.9123 | − | 29.8124i | −1.25589 | − | 0.962192i | ||||
\(961\) | 3.04384 | + | 28.9602i | 0.0981884 | + | 0.934200i | ||||
\(962\) | −0.651972 | + | 2.00656i | −0.0210204 | + | 0.0646942i | ||||
\(963\) | 35.3237 | − | 5.64867i | 1.13829 | − | 0.182026i | ||||
\(964\) | 17.7765 | − | 12.9154i | 0.572542 | − | 0.415976i | ||||
\(965\) | 4.49114 | − | 1.99958i | 0.144575 | − | 0.0643689i | ||||
\(966\) | 5.21951 | − | 5.50843i | 0.167935 | − | 0.177231i | ||||
\(967\) | −17.1827 | − | 29.7613i | −0.552558 | − | 0.957058i | −0.998089 | − | 0.0617918i | \(-0.980319\pi\) |
0.445531 | − | 0.895266i | \(-0.353015\pi\) | |||||||
\(968\) | 8.52682 | − | 31.9527i | 0.274062 | − | 1.02700i | ||||
\(969\) | −5.63250 | + | 9.20679i | −0.180942 | + | 0.295765i | ||||
\(970\) | 2.60502 | + | 0.553713i | 0.0836420 | + | 0.0177787i | ||||
\(971\) | −32.6218 | − | 23.7011i | −1.04688 | − | 0.760606i | −0.0752664 | − | 0.997163i | \(-0.523981\pi\) |
−0.971617 | + | 0.236558i | \(0.923981\pi\) | |||||||
\(972\) | 0.345410 | − | 15.3789i | 0.0110790 | − | 0.493279i | ||||
\(973\) | −0.958453 | + | 2.94982i | −0.0307266 | + | 0.0945667i | ||||
\(974\) | 20.1234 | + | 22.3493i | 0.644797 | + | 0.716119i | ||||
\(975\) | −2.53686 | − | 31.9298i | −0.0812444 | − | 1.02257i | ||||
\(976\) | −1.35266 | + | 12.8697i | −0.0432975 | + | 0.411948i | ||||
\(977\) | −4.94725 | + | 5.49448i | −0.158277 | + | 0.175784i | −0.817067 | − | 0.576542i | \(-0.804402\pi\) |
0.658791 | + | 0.752326i | \(0.271068\pi\) | |||||||
\(978\) | −3.76648 | − | 6.92469i | −0.120439 | − | 0.221427i | ||||
\(979\) | −9.62591 | + | 14.0211i | −0.307645 | + | 0.448116i | ||||
\(980\) | 2.35157 | 0.0751182 | ||||||||
\(981\) | 37.7710 | − | 37.8837i | 1.20594 | − | 1.20953i | ||||
\(982\) | −4.01270 | − | 2.91540i | −0.128050 | − | 0.0930341i | ||||
\(983\) | 2.38389 | + | 22.6812i | 0.0760342 | + | 0.723417i | 0.964430 | + | 0.264339i | \(0.0851537\pi\) |
−0.888396 | + | 0.459078i | \(0.848180\pi\) | |||||||
\(984\) | −0.285730 | + | 0.808792i | −0.00910875 | + | 0.0257833i | ||||
\(985\) | 51.6635 | − | 10.9814i | 1.64614 | − | 0.349897i | ||||
\(986\) | 4.74959 | + | 2.11465i | 0.151258 | + | 0.0673442i | ||||
\(987\) | 0.315666 | + | 0.241846i | 0.0100478 | + | 0.00769803i | ||||
\(988\) | −5.19106 | − | 1.10339i | −0.165150 | − | 0.0351036i | ||||
\(989\) | −17.2017 | −0.546981 | ||||||||
\(990\) | 7.36294 | + | 39.2884i | 0.234009 | + | 1.24867i | ||||
\(991\) | 30.6386 | 0.973268 | 0.486634 | − | 0.873606i | \(-0.338225\pi\) | ||||
0.486634 | + | 0.873606i | \(0.338225\pi\) | |||||||
\(992\) | −6.64379 | − | 1.41218i | −0.210940 | − | 0.0448368i | ||||
\(993\) | −0.658581 | + | 5.03137i | −0.0208994 | + | 0.159666i | ||||
\(994\) | −25.1313 | − | 11.1892i | −0.797115 | − | 0.354899i | ||||
\(995\) | 22.7383 | − | 4.83318i | 0.720853 | − | 0.153222i | ||||
\(996\) | 7.10884 | + | 8.31084i | 0.225252 | + | 0.263339i | ||||
\(997\) | −1.94595 | − | 18.5145i | −0.0616290 | − | 0.586360i | −0.981140 | − | 0.193297i | \(-0.938082\pi\) |
0.919511 | − | 0.393063i | \(-0.128585\pi\) | |||||||
\(998\) | −11.1443 | − | 8.09682i | −0.352767 | − | 0.256300i | ||||
\(999\) | −1.51661 | − | 6.25552i | −0.0479833 | − | 0.197916i |
(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 | 99.2.m.b.16.3 | ✓ | 72 | |
3.2 | odd | 2 | 297.2.n.b.181.7 | 72 | |||
9.2 | odd | 6 | 891.2.f.e.82.3 | 36 | |||
9.4 | even | 3 | inner | 99.2.m.b.49.7 | yes | 72 | |
9.5 | odd | 6 | 297.2.n.b.280.3 | 72 | |||
9.7 | even | 3 | 891.2.f.f.82.7 | 36 | |||
11.3 | even | 5 | 1089.2.e.p.727.6 | 36 | |||
11.8 | odd | 10 | 1089.2.e.o.727.13 | 36 | |||
11.9 | even | 5 | inner | 99.2.m.b.97.7 | yes | 72 | |
33.20 | odd | 10 | 297.2.n.b.262.3 | 72 | |||
99.20 | odd | 30 | 891.2.f.e.163.3 | 36 | |||
99.25 | even | 15 | 9801.2.a.cm.1.13 | 18 | |||
99.31 | even | 15 | inner | 99.2.m.b.31.3 | yes | 72 | |
99.47 | odd | 30 | 9801.2.a.cp.1.6 | 18 | |||
99.52 | odd | 30 | 9801.2.a.co.1.6 | 18 | |||
99.58 | even | 15 | 1089.2.e.p.364.6 | 36 | |||
99.74 | even | 30 | 9801.2.a.cn.1.13 | 18 | |||
99.85 | odd | 30 | 1089.2.e.o.364.13 | 36 | |||
99.86 | odd | 30 | 297.2.n.b.64.7 | 72 | |||
99.97 | even | 15 | 891.2.f.f.163.7 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.16.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.31.3 | yes | 72 | 99.31 | even | 15 | inner | |
99.2.m.b.49.7 | yes | 72 | 9.4 | even | 3 | inner | |
99.2.m.b.97.7 | yes | 72 | 11.9 | even | 5 | inner | |
297.2.n.b.64.7 | 72 | 99.86 | odd | 30 | |||
297.2.n.b.181.7 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.262.3 | 72 | 33.20 | odd | 10 | |||
297.2.n.b.280.3 | 72 | 9.5 | odd | 6 | |||
891.2.f.e.82.3 | 36 | 9.2 | odd | 6 | |||
891.2.f.e.163.3 | 36 | 99.20 | odd | 30 | |||
891.2.f.f.82.7 | 36 | 9.7 | even | 3 | |||
891.2.f.f.163.7 | 36 | 99.97 | even | 15 | |||
1089.2.e.o.364.13 | 36 | 99.85 | odd | 30 | |||
1089.2.e.o.727.13 | 36 | 11.8 | odd | 10 | |||
1089.2.e.p.364.6 | 36 | 99.58 | even | 15 | |||
1089.2.e.p.727.6 | 36 | 11.3 | even | 5 | |||
9801.2.a.cm.1.13 | 18 | 99.25 | even | 15 | |||
9801.2.a.cn.1.13 | 18 | 99.74 | even | 30 | |||
9801.2.a.co.1.6 | 18 | 99.52 | odd | 30 | |||
9801.2.a.cp.1.6 | 18 | 99.47 | odd | 30 |